Laboratory of Babel / Archive / grad-noise-175k

grad-noise-175k

Gradient noise, 175k (run of 2026-09-23) · A complete batch run over 175,797 lattice-noise expressions, with 32 texture diagnostics and a frame of each.

About this collection

This collection is complete and closed. Every expression in the space below was rendered and measured once, in a single batch run. Each row is one expression, and its coordinate links to it running live on uto.run.

The purpose is exploratory. There is no target texture and no attempt to resemble Perlin noise. A constant field, a strongly directional pattern or an odd value distribution is an observation, not a failure. The measurements describe textures so they can be sorted, filtered and compared. They are a lossy fingerprint, not a judgement of quality and not a substitute for looking.

The space

An ither formula with two layers:

  • topo: expression trees of up to 64 nodes, built from unary (o1), binary (o2) and leaf (x) slots
  • expr: fills those slots
    • leaves: P, D, R
    • unary: sqt log frc flr cil sgn nrm
    • binary: add sub mlt div pow mod lrg eql min dot dst

A coordinate t·x·u·b follows the formula's projection: t the topology, x the leaf choices, u the unary choices, b the binary choices. Points outside the space were omitted from the run. Two orderings ride along: ordinal is the point's position in ither's whole enumeration (gaps where points were omitted), and batch index is its place in the batch run's sequence, 0 to 175,796 (the run's inputs.expr, and the number in its frame's file name).

The apparatus

Each expression is evaluated at the corners of a rectangular lattice with quintic blending (LATT.RECT.QUINTIC), over coordinates mlt(C, 8), in a 256 × 256 field #A. One configuration per expression: the dimension and coordinate scale were fixed for the whole run.

Measurements are taken from #A's x channel, its stored values (not a screenshot), at step 7, after which the run moves to the next expression. The frame in each row is that field, remapped for display.

The measurements

Notation: f is the field value, E averages the whole field, and E_I averages the interior (C-space [-0.98, 0.98]², which keeps wrapped edges out of the spatial measures).

Value distribution

key meaning
value_mean, value_abs_mean E[f] and E[|f|]: signed offset, typical distance from zero
value_positive_fraction share of values above 0 (field tolerance 0.0001)
value_variance, value_stddev population variance and SD: contrast
value_min, value_max, value_range sampled extrema and their difference
histogram_entropy_bits entropy of a 32-bin histogram over [−1, 1], 0 (one bin) to 5 (uniform) bits
histogram_probability_sum consistency check, ≈ 1

Local roughness (one-pixel differences dx, dy, and g = √(dx² + dy²))

key meaning
gradient_energy_x, gradient_energy_y E_I[dx²], E_I[dy²]
gradient_magnitude_mean E_I[g]: roughness
gradient_magnitude_variance, _stddev, _max how unevenly that roughness is spread, and its peak
gradient_magnitude_cv SD / mean of g: uneven activity (quiet areas interrupted by edges), independent of amplitude
gradient_axis_bias (Ex − Ey) / (Ex + Ey), −1 to 1: horizontal vs vertical preference. Zero does not mean isotropic (diagonals balance too)
gradient_nonzero_flag 1 if there is any gradient energy at all

Change of slope (four-neighbour Laplacian L)

key meaning
laplacian_mean, laplacian_energy, laplacian_abs_mean E_I[L], E_I[L²], E_I[|L|]. Sharp or high-frequency structure responds; a linear ramp does not

Normalised by contrast (comparable across amplitudes)

key meaning
gradient_energy_over_variance (Ex + Ey) / variance
laplacian_energy_over_variance E_I[L²] / variance
variance_normalization_valid_flag, gradient_cv_valid_flag whether the denominators above are meaningful (> 10⁻¹²). Filter on these before trusting a ratio

Three spatial scales (mean squared difference at a distance, over the central [-0.74, 0.74]²: 2, 8 and 32 pixels at this resolution)

key meaning
scale_diff2_near, _mid, _far raw difference energy at each distance
scale_diff2_near_over_variance, _mid_…, _far_… the same, normalised. Low near and rising far suggests smooth structure; a dip at a longer distance can hint at repetition

Each record's json also holds value_histogram (the 32 bin probabilities) and scale_curve (the three scales with their distances).

Reading them, and their limits

  • Clipping. #A kept its default signed domain, so values outside [−1, 1] were clipped before measuring. The diagnostics describe the clipped texture.
  • Combinations say more than any one key. A large range with modest SD and a high gradient peak suggests a few strong excursions. A broad histogram with low normalised detail suggests smooth variation. Similar roughness with a different CV means the activity is concentrated differently.
  • Entropy is about values, not space. A smooth ramp can have high entropy, and shuffling the pixels would not change it.
  • Raw spatial measures depend on resolution and amplitude. Prefer the normalised keys for detail independent of contrast, after checking the validity flags.
  • Not measured: full orientation, spectra or periodicity, lacunarity, tileability, colour, novelty, aesthetic merit.
  • Validation. The suite compiled and ran on every expression. Systematic numerical controls (constants, ramps, stripes, checkerboards, random pixels) and a comparison against longer settling times were not done before this run. Treat the values as exploratory.

Provenance

  • Apparatus: noiseBatch/one.uto, project SHA-256 b6fc8f27…be04d0
  • Expression corpus: SHA-256 7d3ec029…d72266
  • Run files (canonical), in ~/lab/data/grad-noise-175k/: the enumeration (grad-noise-175k.jsonl), the measurements (grad-noise-175k-output.jsonl, joined on inputs.expr), the formula (grad-noise-175k.manifest.json) and the frames (png/)
175,797 records
coordinate ▲ t x u b expression batch index ordinal topo measured step globalStep value_mean value_positive_fraction value_abs_mean value_variance value_stddev value_min value_max value_range histogram_probability_sum histogram_entropy_bits gradient_energy_x gradient_energy_y gradient_magnitude_mean gradient_axis_bias gradient_nonzero_flag laplacian_mean laplacian_energy laplacian_abs_mean gradient_magnitude_variance gradient_magnitude_stddev gradient_magnitude_cv gradient_magnitude_max gradient_energy_over_variance laplacian_energy_over_variance variance_normalization_valid_flag gradient_cv_valid_flag scale_diff2_near scale_diff2_mid scale_diff2_far scale_diff2_near_over_variance scale_diff2_mid_over_variance scale_diff2_far_over_variance
t20_x22_u0_b62 20 22 0 62 add(P,mod(eql(R,D),D)) 164000 163300904 o2(x,o2(o2(x,x),x)) true 20407 20407 0.00001628 0.5 0.9375 0.924 0.9612 -1 1 2 1 1.813 0.000708 2.49e-8 0.007938 0.9999 1 4.753e-8 0.0000396 0.001897 0.0006453 0.0254 3.2 0.2321 0.0007663 0.00004286 1 1 0.001851 0.02449 0.2344 0.002003 0.0265 0.2537 json
t20_x22_u0_b63 20 22 0 63 add(P,mod(min(R,D),D)) 164001 163300905 o2(x,o2(o2(x,x),x)) true 20415 20415 -0.006906 0.4914 0.9372 0.9221 0.9603 -1 1 2 1 1.871 0.00301 0.00001681 0.01506 0.9889 1 -0.000002351 0.006377 0.02357 0.002801 0.05293 3.514 0.5296 0.003283 0.006915 1 1 0.003733 0.0248 0.2342 0.004049 0.0269 0.254 json
t20_x22_u0_b64 20 22 0 64 add(P,mod(dot(R,D),D)) 164002 163300906 o2(x,o2(o2(x,x),x)) true 20423 20423 -0.0008971 0.5 0.9351 0.9215 0.9599 -1 1 2 1 1.837 0.001006 0.0003204 0.01082 0.5167 1 0.000005249 0.002071 0.009975 0.001209 0.03477 3.214 0.4493 0.001439 0.002247 1 1 0.00268 0.02809 0.2341 0.002909 0.03049 0.254 json
t20_x22_u0_b65 20 22 0 65 add(P,mod(dst(R,D),D)) 164003 163300907 o2(x,o2(o2(x,x),x)) true 20431 20431 0.01801 0.5196 0.9373 0.9234 0.9609 -1 1 2 1 1.823 0.00181 0.0004563 0.01356 0.5974 1 0.00000973 0.005995 0.02117 0.002082 0.04563 3.365 0.549 0.002455 0.006493 1 1 0.003283 0.02723 0.2347 0.003556 0.02949 0.2541 json
t20_x22_u0_b66 20 22 0 66 add(P,lrg(add(R,D),D)) 164004 163300908 o2(x,o2(o2(x,x),x)) true 20439 20439 0.06347 0.5253 0.9326 0.9159 0.9571 -1 1 2 1 1.84 0.0009772 0.0002573 0.009837 0.5831 1 -0.00001925 0.0001771 0.002995 0.001138 0.03373 3.429 0.2338 0.001348 0.0001934 1 1 0.003184 0.03819 0.2638 0.003476 0.0417 0.288 json
t20_x22_u0_b67 20 22 0 67 add(P,lrg(sub(R,D),D)) 164005 163300909 o2(x,o2(o2(x,x),x)) true 20447 20447 0.06307 0.5295 0.9315 0.9114 0.9546 -1 1 2 1 1.893 0.005402 0.000196 0.01968 0.93 1 -0.000009742 0.008825 0.01701 0.005211 0.07219 3.668 0.9986 0.006143 0.009683 1 1 0.009715 0.05117 0.2489 0.01066 0.05615 0.2731 json
t20_x22_u0_b68 20 22 0 68 add(P,lrg(mlt(R,D),D)) 164006 163300910 o2(x,o2(o2(x,x),x)) true 20455 20455 0.0625 0.5313 0.9375 0.9184 0.9583 -1 1 2 1 1.809 0.01063 0 0.02379 1 1 0 0.0166 0.02131 0.01007 0.1003 4.218 0.9988 0.01158 0.01808 1 1 0.0172 0.07175 0.2321 0.01872 0.07812 0.2528 json
t20_x22_u0_b69 20 22 0 69 add(P,lrg(div(R,D),D)) 164007 163300911 o2(x,o2(o2(x,x),x)) true 20463 20463 0.06055 0.5323 0.9373 0.9194 0.9589 -1 1 2 1 1.842 0.00804 0.0002456 0.01831 0.9407 1 8.005e-7 0.01533 0.01959 0.007951 0.08917 4.87 1 0.009012 0.01668 1 1 0.01204 0.06029 0.2684 0.01309 0.06558 0.2919 json
t20_x22_u0_b70 20 22 0 70 add(P,lrg(pow(R,D),D)) 164008 163300912 o2(x,o2(o2(x,x),x)) true 20471 20471 0.1228 0.5615 0.9373 0.9085 0.9531 -1 1 2 1 1.812 0.001013 0.000008752 0.00885 0.9829 1 4.202e-8 0.000733 0.003535 0.0009442 0.03073 3.472 0.7947 0.001125 0.0008069 1 1 0.002268 0.02558 0.2338 0.002496 0.02816 0.2574 json
t20_x22_u0_b71 20 22 0 71 add(P,lrg(mod(R,D),D)) 164009 163300913 o2(x,o2(o2(x,x),x)) true 20479 20479 0.06246 0.5313 0.9375 0.9184 0.9583 -1 1 2 1 1.81 0.01065 1.509e-7 0.0238 1 1 -1.17e-7 0.01665 0.02142 0.01008 0.1004 4.219 0.9988 0.0116 0.01813 1 1 0.0172 0.07175 0.2322 0.01872 0.07813 0.2528 json
t20_x22_u0_b72 20 22 0 72 add(P,lrg(lrg(R,D),D)) 164010 163300914 o2(x,o2(o2(x,x),x)) true 20487 20487 0.08721 0.5425 0.9372 0.9145 0.9563 -1 1 2 1 1.844 0.006036 0.0001215 0.01831 0.9606 1 -0.000006362 0.009105 0.01474 0.005823 0.07631 4.167 0.9988 0.006733 0.009956 1 1 0.01058 0.0549 0.2491 0.01157 0.06003 0.2723 json
t20_x22_u0_b73 20 22 0 73 add(P,lrg(eql(R,D),D)) 164011 163300915 o2(x,o2(o2(x,x),x)) true 20495 20495 0.0625 0.5313 0.9375 0.9184 0.9583 -1 1 2 1 1.809 0.01063 0 0.02379 1 1 0 0.0166 0.02131 0.01007 0.1003 4.218 0.9988 0.01158 0.01808 1 1 0.0172 0.07175 0.2321 0.01872 0.07812 0.2528 json
t20_x22_u0_b74 20 22 0 74 add(P,lrg(min(R,D),D)) 164012 163300916 o2(x,o2(o2(x,x),x)) true 20503 20503 0 0.5 0.9375 0.924 0.9612 -1 1 2 1 1.813 0.0007059 0 0.007937 1 1 0 0.00003235 0.001851 0.0006432 0.02536 3.195 0.1169 0.0007639 0.00003501 1 1 0.001851 0.02449 0.2344 0.002003 0.0265 0.2537 json
t20_x22_u0_b75 20 22 0 75 add(P,lrg(dot(R,D),D)) 164013 163300917 o2(x,o2(o2(x,x),x)) true 20511 20511 0.06279 0.5328 0.9388 0.9184 0.9583 -1 1 2 1 1.87 0.006542 0.003277 0.02326 0.3325 1 0.000007138 0.02524 0.02496 0.009281 0.09634 4.143 1.413 0.01069 0.02748 1 1 0.01556 0.06994 0.245 0.01694 0.07616 0.2668 json
t20_x22_u0_b76 20 22 0 76 add(P,lrg(dst(R,D),D)) 164014 163300918 o2(x,o2(o2(x,x),x)) true 20519 20519 0.1235 0.562 0.9372 0.9082 0.953 -1 1 2 1 1.813 0.0009073 0.0001178 0.008852 0.7702 1 -4.438e-7 0.001152 0.003819 0.0009475 0.03078 3.478 0.8839 0.001129 0.001268 1 1 0.002267 0.02528 0.2335 0.002496 0.02784 0.2571 json
t20_x22_u0_b77 20 22 0 77 add(P,eql(add(R,D),D)) 164015 163300919 o2(x,o2(o2(x,x),x)) true 20527 20527 0 0.5 0.9375 0.924 0.9612 -1 1 2 1 1.813 0.0007059 0 0.007937 1 1 0 0.00003235 0.001851 0.0006432 0.02536 3.195 0.1169 0.0007639 0.00003501 1 1 0.001851 0.02449 0.2344 0.002003 0.0265 0.2537 json
t20_x22_u0_b78 20 22 0 78 add(P,eql(sub(R,D),D)) 164016 163300920 o2(x,o2(o2(x,x),x)) true 20535 20535 0 0.5 0.9375 0.924 0.9612 -1 1 2 1 1.813 0.0007059 0 0.007937 1 1 0 0.00003235 0.001851 0.0006432 0.02536 3.195 0.1169 0.0007639 0.00003501 1 1 0.001851 0.02449 0.2344 0.002003 0.0265 0.2537 json
t20_x22_u0_b79 20 22 0 79 add(P,eql(mlt(R,D),D)) 164017 163300921 o2(x,o2(o2(x,x),x)) true 20543 20543 0 0.5 0.9375 0.924 0.9612 -1 1 2 1 1.813 0.0007059 0 0.007937 1 1 0 0.00003235 0.001851 0.0006432 0.02536 3.195 0.1169 0.0007639 0.00003501 1 1 0.001851 0.02449 0.2344 0.002003 0.0265 0.2537 json
t20_x22_u0_b80 20 22 0 80 add(P,eql(div(R,D),D)) 164018 163300922 o2(x,o2(o2(x,x),x)) true 20551 20551 0 0.5 0.9375 0.924 0.9612 -1 1 2 1 1.813 0.0007059 0 0.007937 1 1 0 0.00003235 0.001851 0.0006432 0.02536 3.195 0.1169 0.0007639 0.00003501 1 1 0.001851 0.02449 0.2344 0.002003 0.0265 0.2537 json
t20_x22_u0_b81 20 22 0 81 add(P,eql(pow(R,D),D)) 164019 163300923 o2(x,o2(o2(x,x),x)) true 20559 20559 0 0.5 0.9375 0.924 0.9612 -1 1 2 1 1.813 0.0007059 0 0.007937 1 1 0 0.00003235 0.001851 0.0006432 0.02536 3.195 0.1169 0.0007639 0.00003501 1 1 0.001851 0.02449 0.2344 0.002003 0.0265 0.2537 json
t20_x22_u0_b82 20 22 0 82 add(P,eql(mod(R,D),D)) 164020 163300924 o2(x,o2(o2(x,x),x)) true 20567 20567 0.00004015 0.5 0.9375 0.924 0.9613 -1 1 2 1 1.813 0.0007197 1.509e-7 0.007967 0.9996 1 1.171e-7 0.00007637 0.001971 0.0006566 0.02562 3.216 0.4213 0.0007791 0.00008264 1 1 0.001851 0.02449 0.2344 0.002003 0.0265 0.2537 json
t20_x22_u0_b83 20 22 0 83 add(P,eql(lrg(R,D),D)) 164021 163300925 o2(x,o2(o2(x,x),x)) true 20575 20575 0 0.5 0.9375 0.924 0.9612 -1 1 2 1 1.813 0.0007059 0 0.007937 1 1 0 0.00003235 0.001851 0.0006432 0.02536 3.195 0.1169 0.0007639 0.00003501 1 1 0.001851 0.02449 0.2344 0.002003 0.0265 0.2537 json
t20_x22_u0_b84 20 22 0 84 add(P,eql(eql(R,D),D)) 164022 163300926 o2(x,o2(o2(x,x),x)) true 20583 20583 0 0.5 0.9375 0.924 0.9612 -1 1 2 1 1.813 0.0007059 0 0.007937 1 1 0 0.00003235 0.001851 0.0006432 0.02536 3.195 0.1169 0.0007639 0.00003501 1 1 0.001851 0.02449 0.2344 0.002003 0.0265 0.2537 json
t20_x22_u0_b85 20 22 0 85 add(P,eql(min(R,D),D)) 164023 163300927 o2(x,o2(o2(x,x),x)) true 20591 20591 0.06318 0.5275 0.9322 0.9133 0.9557 -1 1 2 1 1.872 0.002592 0.0002253 0.01395 0.8401 1 -0.0000132 0.003508 0.009605 0.002623 0.05121 3.672 0.9986 0.003085 0.003841 1 1 0.005541 0.04145 0.2565 0.006067 0.04538 0.2808 json
t20_x22_u0_b86 20 22 0 86 add(P,eql(dot(R,D),D)) 164024 163300928 o2(x,o2(o2(x,x),x)) true 20599 20599 6.659e-8 0.5 0.9375 0.924 0.9612 -1 1 2 1 1.813 0.0007059 3.001e-10 0.007937 1 1 -9.386e-13 0.00003236 0.001851 0.0006432 0.02536 3.195 0.1169 0.0007639 0.00003502 1 1 0.001851 0.02449 0.2344 0.002003 0.0265 0.2537 json
t20_x22_u0_b87 20 22 0 87 add(P,eql(dst(R,D),D)) 164025 163300929 o2(x,o2(o2(x,x),x)) true 20607 20607 0 0.5 0.9375 0.924 0.9612 -1 1 2 1 1.813 0.0007059 0 0.007937 1 1 0 0.00003235 0.001851 0.0006432 0.02536 3.195 0.1169 0.0007639 0.00003501 1 1 0.001851 0.02449 0.2344 0.002003 0.0265 0.2537 json
t20_x22_u0_b88 20 22 0 88 add(P,min(add(R,D),D)) 164026 163300930 o2(x,o2(o2(x,x),x)) true 20615 20615 -0.03244 0.4834 0.9449 0.9246 0.9616 -1 1 2 1 1.938 0.0006236 0.0001006 0.008794 0.7223 1 -0.00001047 0.000048 0.001529 0.0006469 0.02543 2.892 0.1536 0.0007832 0.00005191 1 1 0.001862 0.02649 0.2438 0.002014 0.02865 0.2637 json
t20_x22_u0_b89 20 22 0 89 add(P,min(sub(R,D),D)) 164027 163300931 o2(x,o2(o2(x,x),x)) true 20623 20623 -0.04502 0.4769 0.9447 0.9219 0.9602 -1 1 2 1 1.952 0.001173 0.0001334 0.01096 0.7957 1 -0.00001061 0.0002206 0.00397 0.001186 0.03443 3.143 0.2542 0.001417 0.0002393 1 1 0.003347 0.0363 0.2473 0.003631 0.03937 0.2683 json
t20_x22_u0_b90 20 22 0 90 add(P,min(mlt(R,D),D)) 164028 163300932 o2(x,o2(o2(x,x),x)) true 20631 20631 -0.01767 0.4853 0.9364 0.9199 0.9591 -1 1 2 1 1.888 0.0007218 0.00001442 0.008576 0.9608 1 -0.000003094 0.00005502 0.001972 0.0006627 0.02574 3.002 0.1562 0.0008003 0.00005981 1 1 0.001902 0.02459 0.2322 0.002067 0.02673 0.2524 json
t20_x22_u0_b91 20 22 0 91 add(P,min(div(R,D),D)) 164029 163300933 o2(x,o2(o2(x,x),x)) true 20639 20639 -0.1926 0.4025 0.9469 0.8918 0.9444 -1 1 2 1 1.854 0.1542 0.006969 0.1108 0.9135 1 -0.00107 0.3557 0.1775 0.1489 0.3859 3.485 2.828 0.1807 0.3989 1 1 0.1707 0.3727 0.469 0.1914 0.4179 0.526 json
t20_x22_u0_b92 20 22 0 92 add(P,min(pow(R,D),D)) 164030 163300934 o2(x,o2(o2(x,x),x)) true 20647 20647 -0.0005292 0.5 0.9378 0.9168 0.9575 -1 1 2 1 1.979 0.000494 6.718e-7 0.007951 0.9973 1 7.333e-8 0.00001893 0.0006798 0.0004313 0.02077 2.612 0.1075 0.0005395 0.00002064 1 1 0.001304 0.0194 0.2252 0.001422 0.02116 0.2456 json
t20_x22_u0_b93 20 22 0 93 add(P,min(mod(R,D),D)) 164031 163300935 o2(x,o2(o2(x,x),x)) true 20655 20655 -0.01797 0.487 0.9373 0.9214 0.9599 -1 1 2 1 1.873 0.001113 0.00001243 0.01016 0.9779 1 -0.000002554 0.001199 0.008029 0.001022 0.03197 3.147 0.2985 0.001222 0.001301 1 1 0.002222 0.02464 0.2329 0.002411 0.02674 0.2528 json
t20_x22_u0_b94 20 22 0 94 add(P,min(lrg(R,D),D)) 164032 163300936 o2(x,o2(o2(x,x),x)) true 20663 20663 -0.01183 0.4984 0.9365 0.9189 0.9586 -1 1 2 1 1.906 0.000702 0.00000906 0.008657 0.9745 1 -0.000001733 0.0002546 0.002587 0.0006363 0.02522 2.914 0.2103 0.0007738 0.0002771 1 1 0.001748 0.0224 0.2305 0.001903 0.02438 0.2508 json
t20_x22_u0_b95 20 22 0 95 add(P,min(eql(R,D),D)) 164033 163300937 o2(x,o2(o2(x,x),x)) true 20671 20671 -0.01788 0.4961 0.9375 0.9228 0.9606 -1 1 2 1 1.804 0.00068 0 0.007936 1 1 -6.8e-10 0.00003457 0.001748 0.0006173 0.02485 3.131 0.1105 0.0007369 0.00003746 1 1 0.001781 0.02386 0.2335 0.00193 0.02586 0.2531 json
t20_x22_u0_b96 20 22 0 96 add(P,min(min(R,D),D)) 164034 163300938 o2(x,o2(o2(x,x),x)) true 20679 20679 -0.0352 0.4803 0.9449 0.9223 0.9604 -1 1 2 1 1.948 0.0007462 0.0001114 0.008977 0.7402 1 -0.00001048 0.00008144 0.002162 0.0007767 0.02787 3.104 0.2101 0.0009299 0.00008831 1 1 0.002213 0.02923 0.2448 0.002399 0.0317 0.2654 json
t20_x22_u0_b97 20 22 0 97 add(P,min(dot(R,D),D)) 164035 163300939 o2(x,o2(o2(x,x),x)) true 20687 20687 -0.02087 0.4845 0.936 0.918 0.9581 -1 1 2 1 1.933 0.0007036 0.00006802 0.009043 0.8237 1 -0.000004674 0.00009636 0.002395 0.0006895 0.02626 2.904 0.1668 0.0008406 0.000105 1 1 0.001974 0.02489 0.2294 0.002151 0.02712 0.2499 json
t20_x22_u0_b98 20 22 0 98 add(P,min(dst(R,D),D)) 164036 163300940 o2(x,o2(o2(x,x),x)) true 20695 20695 -0.0003156 0.5 0.9374 0.9165 0.9573 -1 1 2 1 1.979 0.0004905 0.000001242 0.007949 0.9949 1 2.745e-11 0.00001829 0.0006331 0.0004284 0.0207 2.604 0.08785 0.0005366 0.00001996 1 1 0.001295 0.01931 0.2243 0.001413 0.02107 0.2448 json
t20_x22_u0_b99 20 22 0 99 add(P,dot(add(R,D),D)) 164037 163300941 o2(x,o2(o2(x,x),x)) true 20703 20703 0.02948 0.522 0.9367 0.9175 0.9579 -1 1 2 1 1.919 0.0009775 0.0003078 0.01141 0.5211 1 -0.0000231 0.0001979 0.003845 0.001155 0.03398 2.978 0.2355 0.001401 0.0002157 1 1 0.003211 0.03462 0.233 0.0035 0.03773 0.254 json
t20_x22_u0_b100 20 22 0 100 add(P,dot(sub(R,D),D)) 164038 163300942 o2(x,o2(o2(x,x),x)) true 20711 20711 -0.02971 0.4781 0.9347 0.9154 0.9568 -1 1 2 1 1.938 0.0009937 0.0002745 0.01135 0.5671 1 0.00001675 0.0002004 0.003847 0.00114 0.03376 2.976 0.2239 0.001385 0.0002189 1 1 0.00324 0.0345 0.2313 0.003539 0.03769 0.2527 json
t20_x22_u0_b101 20 22 0 101 add(P,dot(mlt(R,D),D)) 164039 163300943 o2(x,o2(o2(x,x),x)) true 20719 20719 0.002377 0.5075 0.9382 0.9239 0.9612 -1 1 2 1 1.846 0.0007387 0.00002664 0.008339 0.9304 1 -0.000004269 0.00005453 0.002165 0.0006953 0.02637 3.162 0.149 0.0008283 0.00005902 1 1 0.00198 0.02528 0.2355 0.002143 0.02736 0.2549 json
t20_x22_u0_b102 20 22 0 102 add(P,dot(div(R,D),D)) 164040 163300944 o2(x,o2(o2(x,x),x)) true 20727 20727 0.02064 0.5122 0.9369 0.9182 0.9582 -1 1 2 1 1.916 0.001236 0.0008153 0.01304 0.2051 1 -0.0000199 0.0004291 0.004633 0.001881 0.04337 3.326 0.3872 0.002234 0.0004673 1 1 0.004793 0.05285 0.2796 0.00522 0.05757 0.3045 json
t20_x22_u0_b103 20 22 0 103 add(P,dot(pow(R,D),D)) 164041 163300945 o2(x,o2(o2(x,x),x)) true 20735 20735 -1 0 1 0 0 -1 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 json
t20_x22_u0_b104 20 22 0 104 add(P,dot(mod(R,D),D)) 164042 163300946 o2(x,o2(o2(x,x),x)) true 20743 20743 0.00005465 0.5018 0.9367 0.9225 0.9605 -1 1 2 1 1.849 0.0008617 0.0001291 0.009248 0.7395 1 0.000008105 0.0006905 0.007171 0.0009047 0.03008 3.253 0.2463 0.001074 0.0007485 1 1 0.002187 0.02532 0.2335 0.002371 0.02745 0.2531 json
t20_x22_u0_b105 20 22 0 105 add(P,dot(lrg(R,D),D)) 164043 163300947 o2(x,o2(o2(x,x),x)) true 20751 20751 -0.01326 0.4939 0.9349 0.9169 0.9576 -1 1 2 1 1.935 0.0008377 0.0003548 0.01073 0.4049 1 -7.599e-7 0.0008293 0.005901 0.001077 0.03282 3.059 0.3891 0.001301 0.0009045 1 1 0.002723 0.02763 0.23 0.00297 0.03014 0.2508 json
t20_x22_u0_b106 20 22 0 106 add(P,dot(eql(R,D),D)) 164044 163300948 o2(x,o2(o2(x,x),x)) true 20759 20759 -0.00002379 0.5 0.9375 0.924 0.9612 -1 1 2 1 1.813 0.0007114 5.319e-8 0.007947 0.9999 1 -6.95e-8 0.00004793 0.001917 0.0006485 0.02547 3.205 0.3024 0.00077 0.00005187 1 1 0.001851 0.02449 0.2344 0.002003 0.02651 0.2537 json
t20_x22_u0_b107 20 22 0 107 add(P,dot(min(R,D),D)) 164045 163300949 o2(x,o2(o2(x,x),x)) true 20767 20767 0.01637 0.5173 0.937 0.9212 0.9598 -1 1 2 1 1.876 0.000902 0.0001072 0.009779 0.7875 1 -0.00002098 0.0001245 0.003159 0.0009134 0.03022 3.09 0.2015 0.001096 0.0001351 1 1 0.002536 0.02879 0.2329 0.002753 0.03125 0.2529 json
t20_x22_u0_b108 20 22 0 108 add(P,dot(dot(R,D),D)) 164046 163300950 o2(x,o2(o2(x,x),x)) true 20775 20775 0.00236 0.5075 0.9382 0.9239 0.9612 -1 1 2 1 1.845 0.0007519 0.00004017 0.008545 0.8986 1 -0.000001327 0.00006282 0.002298 0.0007188 0.02681 3.138 0.1738 0.0008573 0.00006799 1 1 0.002053 0.02592 0.2357 0.002222 0.02805 0.2551 json
t20_x22_u0_b109 20 22 0 109 add(P,dot(dst(R,D),D)) 164047 163300951 o2(x,o2(o2(x,x),x)) true 20783 20783 -0.002473 0.4984 0.9362 0.9162 0.9572 -1 1 2 1 1.979 0.0005433 0.0002625 0.009848 0.3485 1 -4.639e-7 0.0001039 0.002724 0.0007086 0.02662 2.703 0.1506 0.0008795 0.0001134 1 1 0.002022 0.02502 0.2267 0.002207 0.02731 0.2474 json
t20_x22_u0_b110 20 22 0 110 add(P,dst(add(R,D),D)) 164048 163300952 o2(x,o2(o2(x,x),x)) true 20791 20791 0.1228 0.5638 0.9362 0.9005 0.9489 -1 1 2 1 1.979 0.0007835 0.00009467 0.008974 0.7844 1 -0.000002358 0.0001175 0.002698 0.0007974 0.02824 3.147 0.2056 0.0009753 0.0001304 1 1 0.002174 0.02655 0.2276 0.002415 0.02948 0.2528 json
t20_x22_u0_b111 20 22 0 111 add(P,dst(sub(R,D),D)) 164049 163300953 o2(x,o2(o2(x,x),x)) true 20799 20799 0.1653 0.5848 0.9374 0.8892 0.943 -1 1 2 1 1.957 0.001468 0.0007124 0.0153 0.3465 1 -0.00005844 0.000477 0.005998 0.001947 0.04412 2.883 0.3179 0.002452 0.0005365 1 1 0.005388 0.05115 0.2361 0.006059 0.05752 0.2655 json
t20_x22_u0_b112 20 22 0 112 add(P,dst(mlt(R,D),D)) 164050 163300954 o2(x,o2(o2(x,x),x)) true 20807 20807 0.05532 0.5341 0.9348 0.9091 0.9535 -1 1 2 1 1.973 0.001082 0.0003256 0.01218 0.5372 1 -0.00003934 0.0002895 0.004548 0.001258 0.03547 2.912 0.2212 0.001548 0.0003184 1 1 0.003512 0.03175 0.222 0.003863 0.03493 0.2442 json
t20_x22_u0_b113 20 22 0 113 add(P,dst(div(R,D),D)) 164051 163300955 o2(x,o2(o2(x,x),x)) true 20815 20815 -1 0 1 0 0 -1 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 json
t20_x22_u0_b114 20 22 0 114 add(P,dst(pow(R,D),D)) 164052 163300956 o2(x,o2(o2(x,x),x)) true 20823 20823 -0.9999 0 0.9999 0.00002031 0.004506 -1 -0.739 0.261 1 0.008925 0.000004125 0.000002655 0.0000753 0.2168 0 3.754e-11 0.000007119 0.00008032 0.00000677 0.002602 34.56 0.1842 0.3339 0.3505 1 1 0.000019 0.00007369 0.00007381 0.9356 3.628 3.635 json
t20_x22_u0_b115 20 22 0 115 add(P,dst(mod(R,D),D)) 164053 163300957 o2(x,o2(o2(x,x),x)) true 20831 20831 0.09078 0.5416 0.9382 0.9081 0.9529 -1 1 2 1 1.984 0.001167 0.0004973 0.0123 0.4024 1 -0.00005137 0.00168 0.01121 0.001514 0.03891 3.164 0.3746 0.001833 0.001849 1 1 0.003324 0.03086 0.2276 0.003661 0.03398 0.2507 json
t20_x22_u0_b116 20 22 0 116 add(P,dst(lrg(R,D),D)) 164054 163300958 o2(x,o2(o2(x,x),x)) true 20839 20839 0.1679 0.5881 0.9368 0.8857 0.9411 -1 1 2 1 1.976 0.00169 0.0008848 0.01465 0.3126 1 -0.00001154 0.002603 0.01011 0.002359 0.04857 3.315 0.9861 0.002907 0.002939 1 1 0.005545 0.04136 0.2326 0.006261 0.0467 0.2626 json
t20_x22_u0_b117 20 22 0 117 add(P,dst(eql(R,D),D)) 164055 163300959 o2(x,o2(o2(x,x),x)) true 20847 20847 0.0555 0.5342 0.9375 0.9113 0.9546 -1 1 2 1 1.962 0.0009373 0.0002543 0.01126 0.5731 1 -0.00004352 0.0002253 0.003995 0.001064 0.03263 2.897 0.3163 0.001308 0.0002473 1 1 0.003022 0.02891 0.222 0.003316 0.03172 0.2436 json
t20_x22_u0_b118 20 22 0 118 add(P,dst(min(R,D),D)) 164056 163300960 o2(x,o2(o2(x,x),x)) true 20855 20855 0.08404 0.5434 0.9404 0.9134 0.9557 -1 1 2 1 1.95 0.0007562 0.0002573 0.01004 0.4922 1 -0.000002352 0.0001209 0.002639 0.000912 0.0302 3.007 0.2423 0.00111 0.0001324 1 1 0.002584 0.03239 0.2398 0.002829 0.03546 0.2625 json
t20_x22_u0_b119 20 22 0 119 add(P,dst(dot(R,D),D)) 164057 163300961 o2(x,o2(o2(x,x),x)) true 20863 20863 0.07423 0.5407 0.9351 0.9055 0.9516 -1 1 2 1 1.997 0.001277 0.0005509 0.01407 0.3972 1 -0.00005841 0.0004202 0.005461 0.00163 0.04038 2.87 0.2535 0.002019 0.000464 1 1 0.004488 0.03789 0.2205 0.004957 0.04185 0.2435 json
t20_x22_u0_b120 20 22 0 120 add(P,dst(dst(R,D),D)) 164058 163300962 o2(x,o2(o2(x,x),x)) true 20871 20871 0.2389 0.6195 0.9413 0.8645 0.9298 -1 1 2 1 1.89 0.001634 0.0007882 0.01548 0.3491 1 -0.00005313 0.0005999 0.006366 0.002182 0.04671 3.018 0.3947 0.002802 0.0006939 1 1 0.0061 0.05758 0.2552 0.007056 0.06661 0.2953 json
t20_x22_u0_b121 20 22 0 121 sub(P,add(add(R,D),D)) 164059 163300963 o2(x,o2(o2(x,x),x)) true 20879 20879 -0.004561 0.5026 0.9367 0.9132 0.9556 -1 1 2 1 2.016 0.002785 0.0003881 0.01784 0.7554 1 0.00001977 0.0008152 0.00829 0.002856 0.05344 2.996 0.442 0.003474 0.0008926 1 1 0.007775 0.06407 0.2632 0.008514 0.07016 0.2882 json
t20_x22_u0_b122 20 22 0 122 sub(P,add(sub(R,D),D)) 164060 163300964 o2(x,o2(o2(x,x),x)) true 20887 20887 -0.004612 0.5032 0.9368 0.913 0.9555 -1 1 2 1 2.013 0.001147 0.000385 0.01159 0.4976 1 0.00002051 0.0002745 0.003871 0.001399 0.0374 3.228 0.3332 0.001679 0.0003007 1 1 0.003782 0.0437 0.2627 0.004142 0.04787 0.2877 json
t20_x22_u0_b123 20 22 0 123 sub(P,add(mlt(R,D),D)) 164061 163300965 o2(x,o2(o2(x,x),x)) true 20895 20895 0.0001869 0.5002 0.9396 0.9258 0.9622 -1 1 2 1 1.852 0.001442 0.00002956 0.01175 0.9598 1 -6.749e-9 0.0002996 0.005484 0.001333 0.03651 3.107 0.2129 0.001589 0.0003236 1 1 0.003688 0.03575 0.24 0.003983 0.03861 0.2593 json
t20_x22_u0_b124 20 22 0 124 sub(P,add(div(R,D),D)) 164062 163300966 o2(x,o2(o2(x,x),x)) true 20903 20903 -0.0007284 0.4993 0.9482 0.9305 0.9646 -1 1 2 1 1.851 0.3176 0.02048 0.2129 0.8788 1 -0.0007533 0.7881 0.3574 0.2926 0.5409 2.541 2.828 0.3633 0.847 1 1 0.3423 0.7547 0.8208 0.3678 0.8111 0.882 json
t20_x22_u0_b125 20 22 0 125 sub(P,add(pow(R,D),D)) 164063 163300967 o2(x,o2(o2(x,x),x)) true 20911 20911 -0.99 0.005005 0.9979 0.01745 0.1321 -1 1 2 1 0.07814 0.001302 0.002013 0.002196 -0.2145 1 3.379e-11 0.006878 0.003933 0.003309 0.05752 26.2 2 0.1899 0.3941 1 1 0.00009579 0.0006894 0.01504 0.005489 0.03951 0.8617 json
t20_x22_u0_b126 20 22 0 126 sub(P,add(mod(R,D),D)) 164064 163300968 o2(x,o2(o2(x,x),x)) true 20919 20919 0.0003316 0.5017 0.9375 0.9238 0.9611 -1 1 2 1 1.847 0.002177 0.00002828 0.01328 0.9744 1 0.000005084 0.002623 0.01459 0.002029 0.04504 3.392 0.5549 0.002388 0.00284 1 1 0.004164 0.03467 0.2372 0.004508 0.03754 0.2568 json
t20_x22_u0_b127 20 22 0 127 sub(P,add(lrg(R,D),D)) 164065 163300969 o2(x,o2(o2(x,x),x)) true 20927 20927 -0.06678 0.468 0.9281 0.9093 0.9536 -1 1 2 1 1.908 0.002978 0.0002392 0.01313 0.8513 1 0.00001443 0.003667 0.0099 0.003044 0.05518 4.203 1.164 0.003538 0.004033 1 1 0.006527 0.04806 0.2508 0.007179 0.05286 0.2758 json
t20_x22_u0_b128 20 22 0 128 sub(P,add(eql(R,D),D)) 164066 163300970 o2(x,o2(o2(x,x),x)) true 20935 20935 -0.00004008 0.4999 0.9375 0.9252 0.9619 -1 1 2 1 1.774 0.001339 1.509e-7 0.01103 0.9998 1 -1.17e-7 0.0002969 0.005188 0.001218 0.03489 3.164 0.4826 0.001447 0.0003209 1 1 0.003342 0.0331 0.2361 0.003612 0.03578 0.2552 json
t20_x22_u0_b129 20 22 0 129 sub(P,add(min(R,D),D)) 164067 163300971 o2(x,o2(o2(x,x),x)) true 20943 20943 0.03638 0.5193 0.9438 0.9223 0.9603 -1 1 2 1 1.956 0.001949 0.000124 0.01417 0.8804 1 0.00001059 0.0004756 0.006795 0.001871 0.04326 3.053 0.3116 0.002247 0.0005157 1 1 0.005116 0.04523 0.2471 0.005547 0.04904 0.2679 json
t20_x22_u0_b130 20 22 0 130 sub(P,add(dot(R,D),D)) 164068 163300972 o2(x,o2(o2(x,x),x)) true 20951 20951 0.0007337 0.4987 0.9383 0.9219 0.9601 -1 1 2 1 1.917 0.001469 0.0001417 0.01265 0.824 1 -0.000002843 0.0003664 0.005548 0.00145 0.03808 3.009 0.2618 0.001747 0.0003975 1 1 0.004014 0.0381 0.2385 0.004354 0.04133 0.2587 json
t20_x22_u0_b131 20 22 0 131 sub(P,add(dst(R,D),D)) 164069 163300973 o2(x,o2(o2(x,x),x)) true 20959 20959 -0.1343 0.4285 0.9393 0.9021 0.9498 -1 1 2 1 1.923 0.001418 0.000212 0.01253 0.7399 1 0.000005849 0.0003653 0.005264 0.001474 0.03839 3.064 0.2717 0.001807 0.0004049 1 1 0.004175 0.03921 0.239 0.004629 0.04347 0.2649 json
t20_x22_u0_b132 20 22 0 132 sub(P,sub(add(R,D),D)) 164070 163300974 o2(x,o2(o2(x,x),x)) true 20967 20967 -0.004612 0.5032 0.9368 0.913 0.9555 -1 1 2 1 2.013 0.001147 0.000385 0.01159 0.4976 1 0.00002051 0.0002745 0.003871 0.001399 0.0374 3.228 0.3332 0.001679 0.0003007 1 1 0.003782 0.0437 0.2627 0.004142 0.04787 0.2877 json
t20_x22_u0_b133 20 22 0 133 sub(P,sub(sub(R,D),D)) 164071 163300975 o2(x,o2(o2(x,x),x)) true 20975 20975 -0.004478 0.4996 0.9357 0.9149 0.9565 -1 1 2 1 2.004 0.001197 0.0003847 0.01346 0.5135 1 0.00001952 0.0002346 0.003879 0.001401 0.03743 2.781 0.2304 0.001729 0.0002564 1 1 0.003905 0.04598 0.2631 0.004268 0.05025 0.2876 json
t20_x22_u0_b134 20 22 0 134 sub(P,sub(mlt(R,D),D)) 164072 163300976 o2(x,o2(o2(x,x),x)) true 20983 20983 0.0008894 0.5 0.9434 0.9252 0.9619 -1 1 2 1 1.902 0.0006134 0.00003102 0.008214 0.9037 1 7.153e-8 0.00002737 0.001421 0.0005769 0.02402 2.924 0.1401 0.0006965 0.00002959 1 1 0.00167 0.02393 0.2376 0.001805 0.02587 0.2568 json
t20_x22_u0_b135 20 22 0 135 sub(P,sub(div(R,D),D)) 164073 163300977 o2(x,o2(o2(x,x),x)) true 20991 20991 -0.0006355 0.4996 0.9457 0.9273 0.963 -1 1 2 1 1.871 0.3156 0.02065 0.2119 0.8772 1 -0.0007638 0.7844 0.3556 0.2913 0.5398 2.547 2.828 0.3626 0.8458 1 1 0.3401 0.7484 0.818 0.3668 0.807 0.8821 json
t20_x22_u0_b136 20 22 0 136 sub(P,sub(pow(R,D),D)) 164074 163300978 o2(x,o2(o2(x,x),x)) true 20999 20999 -0.99 0.003906 0.9978 0.017 0.1304 -1 1 2 1 0.08679 0.001258 0.001955 0.002136 -0.217 1 4.13e-11 0.006744 0.003892 0.003207 0.05663 26.51 2 0.189 0.3967 1 1 0.00006871 0.0005021 0.01463 0.004041 0.02954 0.8605 json
t20_x22_u0_b137 20 22 0 137 sub(P,sub(mod(R,D),D)) 164075 163300979 o2(x,o2(o2(x,x),x)) true 21007 21007 0.00005175 0.5 0.9371 0.918 0.9581 -1 1 2 1 1.948 0.001413 0.00002819 0.01115 0.9609 1 0.000005058 0.002464 0.013 0.001316 0.03628 3.254 0.4461 0.001569 0.002684 1 1 0.002256 0.02194 0.2294 0.002457 0.0239 0.2499 json
t20_x22_u0_b138 20 22 0 138 sub(P,sub(lrg(R,D),D)) 164076 163300980 o2(x,o2(o2(x,x),x)) true 21015 21015 -0.06681 0.4655 0.9294 0.9074 0.9526 -1 1 2 1 1.966 0.002291 0.0002444 0.01142 0.8072 1 0.00001404 0.003548 0.008403 0.002406 0.04905 4.296 1.062 0.002794 0.00391 1 1 0.00478 0.03842 0.2484 0.005268 0.04234 0.2738 json
t20_x22_u0_b139 20 22 0 139 sub(P,sub(eql(R,D),D)) 164077 163300981 o2(x,o2(o2(x,x),x)) true 21023 21023 -0.00004008 0.5 0.9375 0.9165 0.9574 -1 1 2 1 1.979 0.0005028 1.509e-7 0.007979 0.9994 1 -1.17e-7 0.00005957 0.0006202 0.0004391 0.02095 2.626 0.3811 0.0005488 0.000065 1 1 0.001285 0.01928 0.2245 0.001402 0.02104 0.245 json
t20_x22_u0_b140 20 22 0 140 sub(P,sub(min(R,D),D)) 164078 163300982 o2(x,o2(o2(x,x),x)) true 21031 21031 0.03653 0.5201 0.9439 0.9265 0.9625 -1 1 2 1 1.873 0.000732 0.000125 0.009041 0.7083 1 0.00001043 0.00006024 0.002061 0.0007749 0.02784 3.079 0.2101 0.000925 0.00006502 1 1 0.002199 0.02985 0.2528 0.002374 0.03222 0.2729 json
t20_x22_u0_b141 20 22 0 141 sub(P,sub(dot(R,D),D)) 164079 163300983 o2(x,o2(o2(x,x),x)) true 21039 21039 0.001264 0.5003 0.9419 0.9222 0.9603 -1 1 2 1 1.94 0.0006497 0.000139 0.009254 0.6475 1 4.747e-7 0.00007777 0.002175 0.0007027 0.02651 2.865 0.1565 0.0008553 0.00008433 1 1 0.001994 0.02715 0.2377 0.002163 0.02944 0.2578 json
t20_x22_u0_b142 20 22 0 142 sub(P,sub(dst(R,D),D)) 164080 163300984 o2(x,o2(o2(x,x),x)) true 21047 21047 -0.1343 0.4308 0.9412 0.9032 0.9504 -1 1 2 1 1.936 0.0007209 0.000222 0.009992 0.5291 1 0.000004835 0.0001109 0.002573 0.0008427 0.02903 2.905 0.1764 0.001044 0.0001227 1 1 0.002414 0.03103 0.2405 0.002673 0.03436 0.2662 json
t20_x22_u0_b143 20 22 0 143 sub(P,mlt(add(R,D),D)) 164081 163300985 o2(x,o2(o2(x,x),x)) true 21055 21055 -0.01439 0.4931 0.9411 0.927 0.9628 -1 1 2 1 1.83 0.0009822 0.0000294 0.009596 0.9419 1 7.127e-8 0.0001261 0.003247 0.0009193 0.03032 3.16 0.2011 0.001091 0.000136 1 1 0.002595 0.03007 0.2413 0.0028 0.03244 0.2603 json
t20_x22_u0_b144 20 22 0 144 sub(P,mlt(sub(R,D),D)) 164082 163300986 o2(x,o2(o2(x,x),x)) true 21063 21063 0.01505 0.5072 0.9412 0.9276 0.9631 -1 1 2 1 1.812 0.0009833 0.00002996 0.009468 0.9409 1 7.141e-8 0.000125 0.003214 0.0009243 0.0304 3.211 0.1969 0.001092 0.0001348 1 1 0.002578 0.02999 0.2426 0.002779 0.03233 0.2616 json
t20_x22_u0_b145 20 22 0 145 sub(P,mlt(mlt(R,D),D)) 164083 163300987 o2(x,o2(o2(x,x),x)) true 21071 21071 -0.0004768 0.5002 0.9371 0.924 0.9612 -1 1 2 1 1.818 0.0007259 0.000005067 0.007971 0.9861 1 0.000002554 0.00003637 0.001935 0.0006675 0.02584 3.241 0.1364 0.0007911 0.00003936 1 1 0.0019 0.02491 0.2349 0.002056 0.02696 0.2543 json
t20_x22_u0_b146 20 22 0 146 sub(P,mlt(div(R,D),D)) 164084 163300988 o2(x,o2(o2(x,x),x)) true 21079 21079 -0.004612 0.5032 0.9368 0.913 0.9555 -1 1 2 1 2.013 0.001147 0.000385 0.01159 0.4976 1 0.00002051 0.0002745 0.003871 0.001399 0.0374 3.228 0.3332 0.001679 0.0003007 1 1 0.003782 0.0437 0.2627 0.004142 0.04787 0.2877 json
t20_x22_u0_b147 20 22 0 147 sub(P,mlt(pow(R,D),D)) 164085 163300989 o2(x,o2(o2(x,x),x)) true 21087 21087 -0.9837 0.008194 0.996 0.02748 0.1658 -1 1 2 1 0.1364 0.002102 0.003328 0.003647 -0.2259 1 -1.051e-10 0.01123 0.006255 0.005415 0.07359 20.18 2.828 0.1976 0.4086 1 1 0.0006884 0.00476 0.02436 0.02505 0.1732 0.8864 json
t20_x22_u0_b148 20 22 0 148 sub(P,mlt(mod(R,D),D)) 164086 163300990 o2(x,o2(o2(x,x),x)) true 21095 21095 0.0001767 0.4993 0.9384 0.9252 0.9618 -1 1 2 1 1.813 0.0008539 0.000004044 0.008011 0.9906 1 1.269e-8 0.000376 0.004763 0.0007941 0.02818 3.518 0.2984 0.0009273 0.0004064 1 1 0.00203 0.02511 0.2363 0.002194 0.02714 0.2554 json
t20_x22_u0_b149 20 22 0 149 sub(P,mlt(lrg(R,D),D)) 164087 163300991 o2(x,o2(o2(x,x),x)) true 21103 21103 0.006019 0.5022 0.9397 0.9269 0.9627 -1 1 2 1 1.814 0.001247 0.00001807 0.01019 0.9714 1 2.078e-8 0.0005308 0.005523 0.001161 0.03408 3.343 0.4257 0.001365 0.0005727 1 1 0.003051 0.03073 0.2395 0.003292 0.03315 0.2584 json
t20_x22_u0_b150 20 22 0 150 sub(P,mlt(eql(R,D),D)) 164088 163300992 o2(x,o2(o2(x,x),x)) true 21111 21111 0.0000238 0.5 0.9375 0.924 0.9613 -1 1 2 1 1.813 0.0007106 5.319e-8 0.007945 0.9999 1 6.949e-8 0.00004785 0.001921 0.0006477 0.02545 3.203 0.2919 0.0007691 0.00005179 1 1 0.001851 0.02449 0.2344 0.002003 0.0265 0.2537 json
t20_x22_u0_b151 20 22 0 151 sub(P,mlt(min(R,D),D)) 164089 163300993 o2(x,o2(o2(x,x),x)) true 21119 21119 -0.007394 0.4936 0.9402 0.9259 0.9622 -1 1 2 1 1.826 0.0007099 0.0000103 0.008106 0.9714 1 0.000001808 0.00003645 0.001827 0.0006541 0.02558 3.155 0.1448 0.0007778 0.00003937 1 1 0.001894 0.02512 0.2384 0.002046 0.02713 0.2575 json
t20_x22_u0_b152 20 22 0 152 sub(P,mlt(dot(R,D),D)) 164090 163300994 o2(x,o2(o2(x,x),x)) true 21127 21127 -0.0003495 0.5003 0.9368 0.9236 0.9611 -1 1 2 1 1.815 0.0007364 0.00001334 0.008143 0.9644 1 -0.000002697 0.00004145 0.002071 0.0006833 0.02614 3.21 0.1451 0.0008118 0.00004488 1 1 0.001932 0.02521 0.2349 0.002091 0.02729 0.2543 json
t20_x22_u0_b153 20 22 0 153 sub(P,mlt(dst(R,D),D)) 164091 163300995 o2(x,o2(o2(x,x),x)) true 21135 21135 0.0006915 0.5003 0.9382 0.9253 0.9619 -1 1 2 1 1.828 0.001317 0.00001848 0.01116 0.9723 1 -0.000001496 0.0002331 0.004948 0.001211 0.0348 3.117 0.2004 0.001443 0.0002519 1 1 0.003307 0.03333 0.2369 0.003574 0.03602 0.256 json
t20_x22_u0_b154 20 22 0 154 sub(P,div(add(R,D),D)) 164092 163300996 o2(x,o2(o2(x,x),x)) true 21143 21143 -0.1063 0.4467 0.9473 0.9174 0.9578 -1 1 2 1 1.859 0.3153 0.02088 0.2114 0.8758 1 -0.0008683 0.7881 0.3555 0.2916 0.54 2.555 2.828 0.3665 0.859 1 1 0.3377 0.7517 0.8086 0.3681 0.8194 0.8814 json
t20_x22_u0_b155 20 22 0 155 sub(P,div(sub(R,D),D)) 164093 163300997 o2(x,o2(o2(x,x),x)) true 21151 21151 0.1065 0.5527 0.9459 0.9158 0.957 -1 1 2 1 1.861 0.3144 0.02033 0.211 0.8786 1 -0.0003884 0.7856 0.3541 0.2904 0.5389 2.554 2.828 0.3655 0.8578 1 1 0.3371 0.749 0.8121 0.3681 0.818 0.8868 json
t20_x22_u0_b156 20 22 0 156 sub(P,div(mlt(R,D),D)) 164094 163300998 o2(x,o2(o2(x,x),x)) true 21159 21159 -0.004612 0.5032 0.9368 0.913 0.9555 -1 1 2 1 2.013 0.001147 0.000385 0.01159 0.4976 1 0.00002051 0.0002745 0.003871 0.001399 0.0374 3.228 0.3332 0.001679 0.0003007 1 1 0.003782 0.0437 0.2627 0.004142 0.04787 0.2877 json
t20_x22_u0_b157 20 22 0 157 sub(P,div(div(R,D),D)) 164095 163300999 o2(x,o2(o2(x,x),x)) true 21167 21167 0.01124 0.5063 0.966 0.9546 0.9771 -1 1 2 1 1.594 0.1347 0.05992 0.1344 0.3841 1 -0.0001042 0.4129 0.2149 0.1764 0.42 3.126 2.828 0.2038 0.4325 1 1 0.2275 0.9463 1.364 0.2383 0.9913 1.429 json
t20_x22_u0_b158 20 22 0 158 sub(P,div(pow(R,D),D)) 164096 163301000 o2(x,o2(o2(x,x),x)) true 21175 21175 -0.9676 0.01617 0.9977 0.0608 0.2466 -1 1 2 1 0.1633 0.01549 0.006233 0.01351 0.4261 1 -9.174e-7 0.04181 0.02267 0.02154 0.1467 10.86 2.828 0.3573 0.6876 1 1 0.01608 0.05693 0.1029 0.2645 0.9362 1.692 json
t20_x22_u0_b159 20 22 0 159 sub(P,div(mod(R,D),D)) 164097 163301001 o2(x,o2(o2(x,x),x)) true 21183 21183 0.000894 0.4998 0.9421 0.9211 0.9597 -1 1 2 1 1.971 0.01661 0.0003223 0.03842 0.9619 1 2.01e-9 0.04367 0.06172 0.01545 0.1243 3.235 1.909 0.01838 0.04741 1 1 0.01524 0.05737 0.2606 0.01655 0.06228 0.283 json
t20_x22_u0_b160 20 22 0 160 sub(P,div(lrg(R,D),D)) 164098 163301002 o2(x,o2(o2(x,x),x)) true 21191 21191 0.0449 0.5217 0.9415 0.9247 0.9616 -1 1 2 1 1.853 0.2442 0.01078 0.1708 0.9154 1 -6.901e-7 0.5295 0.2767 0.2259 0.4752 2.782 2.828 0.2757 0.5727 1 1 0.2647 0.7021 0.5303 0.2862 0.7593 0.5735 json
t20_x22_u0_b161 20 22 0 161 sub(P,div(eql(R,D),D)) 164099 163301003 o2(x,o2(o2(x,x),x)) true 21199 21199 0.0000675 0.5 0.9376 0.9241 0.9613 -1 1 2 1 1.813 0.000746 4.279e-7 0.008007 0.9989 1 1.971e-7 0.0001573 0.002056 0.0006827 0.02613 3.263 0.6392 0.0008078 0.0001702 1 1 0.001851 0.02449 0.2344 0.002003 0.0265 0.2537 json