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_x46_u0_b38 20 46 0 38 add(D,div(mod(R,P),D)) 168800 164270504 o2(x,o2(o2(x,x),x)) true 58807 58807 -0.111 0.4455 0.8199 0.7508 0.8665 -1 1 2 1 3.151 0.2255 0.02802 0.2116 0.779 1 -0.00006893 0.5047 0.2762 0.2088 0.4569 2.159 2.828 0.3377 0.6723 1 1 0.2723 1.151 1.305 0.3626 1.533 1.738 json
t20_x46_u0_b39 20 46 0 39 add(D,div(lrg(R,P),D)) 168801 164270505 o2(x,o2(o2(x,x),x)) true 58815 58815 0.03653 0.5154 0.5161 0.4578 0.6766 -1 1 2 1 3.146 0.1625 0.0003992 0.1427 0.9951 1 0.0001574 0.2668 0.1771 0.1425 0.3775 2.645 2.095 0.3557 0.5828 1 1 0.1896 0.8476 0.09885 0.4142 1.851 0.2159 json
t20_x46_u0_b40 20 46 0 40 add(D,div(eql(R,P),D)) 168802 164270506 o2(x,o2(o2(x,x),x)) true 58823 58823 0 0.5 0.09436 0.01082 0.104 -0.1454 0.1454 0.2908 1 2.561 0.001632 0 0.0361 1 1 0 0.0002563 0.01459 0.0003304 0.01818 0.5036 0.06192 0.1508 0.02368 1 1 0.003151 0.02183 0 0.2912 2.017 0 json
t20_x46_u0_b41 20 46 0 41 add(D,div(min(R,P),D)) 168803 164270507 o2(x,o2(o2(x,x),x)) true 58831 58831 -0.05823 0.471 0.8683 0.8254 0.9085 -1 1 2 1 2.642 0.3235 0.016 0.2379 0.9057 1 0.00002049 0.6483 0.3607 0.2829 0.5319 2.236 2.828 0.4113 0.7855 1 1 0.3626 1.498 0.7592 0.4393 1.815 0.9198 json
t20_x46_u0_b42 20 46 0 42 add(D,div(dot(R,P),D)) 168804 164270508 o2(x,o2(o2(x,x),x)) true 58839 58839 0.00128 0.5012 0.9508 0.9348 0.9668 -1 1 2 1 1.795 0.3134 0.07919 0.24 0.5966 1 0.00004215 0.8069 0.4118 0.3352 0.5789 2.412 2.828 0.42 0.8632 1 1 0.4162 1.711 1.8 0.4452 1.83 1.926 json
t20_x46_u0_b43 20 46 0 43 add(D,div(dst(R,P),D)) 168805 164270509 o2(x,o2(o2(x,x),x)) true 58847 58847 -0.0002083 0.5001 0.9893 0.9854 0.9927 -1 1 2 1 1.237 0.4631 0.0001867 0.2462 0.9992 1 5.632e-11 0.8991 0.4704 0.4026 0.6345 2.577 2.006 0.4702 0.9124 1 1 0.471 1.931 0.0322 0.478 1.96 0.03268 json
t20_x46_u0_b44 20 46 0 44 add(D,pow(add(R,P),D)) 168806 164270510 o2(x,o2(o2(x,x),x)) true 58855 58855 -0.1296 0.4531 0.9641 0.9198 0.9591 -1 1 2 1 1.814 0.01719 0.005457 0.0259 0.518 1 0.0001702 0.04493 0.03397 0.02196 0.1482 5.722 2.82 0.02462 0.04885 1 1 0.03145 0.1235 0.3949 0.0342 0.1342 0.4293 json
t20_x46_u0_b45 20 46 0 45 add(D,pow(sub(R,P),D)) 168807 164270511 o2(x,o2(o2(x,x),x)) true 58863 58863 -0.1133 0.4531 0.9804 0.9512 0.9753 -1 1 2 1 1.567 0.01647 0.005991 0.02213 0.4665 1 -6.461e-8 0.04587 0.03315 0.02197 0.1482 6.696 2.828 0.02361 0.04823 1 1 0.0301 0.1184 0.4248 0.03165 0.1245 0.4466 json
t20_x46_u0_b46 20 46 0 46 add(D,pow(mlt(R,P),D)) 168808 164270512 o2(x,o2(o2(x,x),x)) true 58871 58871 -0.8927 0.05859 0.9901 0.1893 0.4351 -1 1 2 1 0.4683 0.02114 0.01597 0.0213 0.1392 1 0.00002551 0.07765 0.04003 0.03666 0.1915 8.988 2.828 0.196 0.4102 1 1 0.03585 0.1502 0.3978 0.1894 0.7933 2.101 json
t20_x46_u0_b47 20 46 0 47 add(D,pow(div(R,P),D)) 168809 164270513 o2(x,o2(o2(x,x),x)) true 58879 58879 -0.9224 0.03906 0.9995 0.1482 0.385 -1 1 2 1 0.2566 0.01462 0.01253 0.01385 0.07688 1 4.232e-8 0.05697 0.0277 0.02697 0.1642 11.85 2.828 0.1832 0.3844 1 1 0.02627 0.1081 0.2987 0.1772 0.7292 2.015 json
t20_x46_u0_b48 20 46 0 48 add(D,pow(pow(R,P),D)) 168810 164270514 o2(x,o2(o2(x,x),x)) true 58887 58887 -0.854 0.07422 0.9976 0.2666 0.5164 -1 1 2 1 0.4578 0.02418 0.0233 0.02509 0.01849 1 8.606e-7 0.09949 0.0493 0.04688 0.2165 8.629 2.828 0.1781 0.3731 1 1 0.04553 0.1906 0.6288 0.1707 0.7147 2.358 json
t20_x46_u0_b49 20 46 0 49 add(D,pow(mod(R,P),D)) 168811 164270515 o2(x,o2(o2(x,x),x)) true 58895 58895 -0.9308 0.03516 0.9989 0.1315 0.3626 -1 1 2 1 0.2569 0.01476 0.01192 0.0137 0.1067 1 0.000008996 0.05602 0.02713 0.02652 0.1628 11.89 2.828 0.2029 0.426 1 1 0.02311 0.09411 0.2377 0.1757 0.7157 1.808 json
t20_x46_u0_b50 20 46 0 50 add(D,pow(lrg(R,P),D)) 168812 164270516 o2(x,o2(o2(x,x),x)) true 58903 58903 -0.09169 0.4648 0.9787 0.9509 0.9751 -1 1 2 1 1.607 0.0158 0.004905 0.01858 0.5263 1 1.614e-10 0.04286 0.02682 0.02037 0.1427 7.681 2.828 0.02178 0.04508 1 1 0.02922 0.1145 0.4321 0.03073 0.1204 0.4545 json
t20_x46_u0_b51 20 46 0 51 add(D,pow(eql(R,P),D)) 168813 164270517 o2(x,o2(o2(x,x),x)) true 58911 58911 -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_x46_u0_b52 20 46 0 52 add(D,pow(min(R,P),D)) 168814 164270518 o2(x,o2(o2(x,x),x)) true 58919 58919 -0.9865 0.007813 0.9978 0.02368 0.1539 -1 1 2 1 0.09242 0.002277 0.00284 0.00315 -0.1099 1 0.00001048 0.01078 0.00578 0.005107 0.07146 22.69 2.791 0.2161 0.4552 1 1 0.0005594 0.003893 0.0208 0.02362 0.1644 0.8784 json
t20_x46_u0_b53 20 46 0 53 add(D,pow(dot(R,P),D)) 168815 164270519 o2(x,o2(o2(x,x),x)) true 58927 58927 -0.9176 0.04297 0.9965 0.152 0.3899 -1 1 2 1 0.3355 0.01858 0.01376 0.01744 0.1488 1 0.00002841 0.06861 0.03366 0.03202 0.1789 10.26 2.796 0.2127 0.4512 1 1 0.03719 0.1486 0.4 0.2446 0.9772 2.631 json
t20_x46_u0_b54 20 46 0 54 add(D,pow(dst(R,P),D)) 168816 164270520 o2(x,o2(o2(x,x),x)) true 58935 58935 0.9445 1 0.9445 0.008152 0.09029 0.5901 1 0.4099 1 1.473 0.002994 0.000006762 0.03072 0.9955 1 0.0001219 0.00243 0.03017 0.002058 0.04536 1.477 0.1724 0.3681 0.2981 1 1 0.004654 0.01257 0.001686 0.5709 1.543 0.2068 json
t20_x46_u0_b55 20 46 0 55 add(D,mod(add(R,P),D)) 168817 164270521 o2(x,o2(o2(x,x),x)) true 58943 58943 -0.000143 0.4982 0.1556 0.03977 0.1994 -0.514 0.5301 1.044 1 3.622 0.01012 0.00006172 0.07978 0.9879 1 -0.0001097 0.02292 0.112 0.003818 0.06179 0.7745 0.4762 0.2561 0.5764 1 1 0.008941 0.03931 0.01595 0.2248 0.9884 0.4012 json
t20_x46_u0_b56 20 46 0 56 add(D,mod(sub(R,P),D)) 168818 164270522 o2(x,o2(o2(x,x),x)) true 58951 58951 0.001709 0.4981 0.1608 0.04096 0.2024 -0.5171 0.5085 1.026 1 3.66 0.0104 0.00006715 0.08145 0.9872 1 0.00003208 0.02337 0.1124 0.003833 0.06191 0.7601 0.4709 0.2555 0.5706 1 1 0.009734 0.03991 0.01685 0.2376 0.9744 0.4113 json
t20_x46_u0_b57 20 46 0 57 add(D,mod(mlt(R,P),D)) 168819 164270523 o2(x,o2(o2(x,x),x)) true 58959 58959 -0.007615 0.487 0.1267 0.02575 0.1605 -0.5193 0.5137 1.033 1 3.402 0.009974 0.0002373 0.07984 0.9535 1 -0.00002868 0.0242 0.1115 0.003836 0.06193 0.7757 0.5066 0.3965 0.94 1 1 0.008391 0.03705 0.02775 0.3259 1.439 1.078 json
t20_x46_u0_b58 20 46 0 58 add(D,mod(div(R,P),D)) 168820 164270524 o2(x,o2(o2(x,x),x)) true 58967 58967 -0.1283 0.4316 0.2193 0.1246 0.353 -1 0.4435 1.444 1 3.312 0.01121 0.0001017 0.05091 0.982 1 0.00006526 0.02061 0.0539 0.008716 0.09336 1.834 1.058 0.09074 0.1654 1 1 0.01517 0.06819 0.1838 0.1217 0.5472 1.475 json
t20_x46_u0_b59 20 46 0 59 add(D,mod(pow(R,P),D)) 168821 164270525 o2(x,o2(o2(x,x),x)) true 58975 58975 -0.9157 0.05499 0.9374 0.09026 0.3004 -1 0.5093 1.509 1 0.6126 0.007118 0.007954 0.01865 -0.05546 1 -0.00002949 0.03123 0.03336 0.01473 0.1214 6.507 1.509 0.167 0.346 1 1 0.01451 0.06615 0.2131 0.1607 0.7329 2.361 json
t20_x46_u0_b60 20 46 0 60 add(D,mod(mod(R,P),D)) 168822 164270526 o2(x,o2(o2(x,x),x)) true 58983 58983 -0.1311 0.4254 0.2362 0.1306 0.3614 -1 0.4693 1.469 1 3.52 0.01529 0.0001976 0.07352 0.9745 1 -0.00001362 0.03203 0.1015 0.01008 0.1004 1.366 1.058 0.1186 0.2453 1 1 0.01742 0.07254 0.1871 0.1334 0.5555 1.433 json
t20_x46_u0_b61 20 46 0 61 add(D,mod(lrg(R,P),D)) 168823 164270527 o2(x,o2(o2(x,x),x)) true 58991 58991 0.07778 0.6244 0.1338 0.02234 0.1495 -0.1454 0.4378 0.5832 1 3.188 0.004036 0.000003078 0.05216 0.9985 1 -0.00001108 0.004971 0.04556 0.001321 0.03634 0.6967 0.1698 0.1808 0.2225 1 1 0.005641 0.03127 0.002885 0.2525 1.4 0.1292 json
t20_x46_u0_b62 20 46 0 62 add(D,mod(eql(R,P),D)) 168824 164270528 o2(x,o2(o2(x,x),x)) true 58999 58999 0 0.5 0.09436 0.01082 0.104 -0.1454 0.1454 0.2908 1 2.561 0.001632 0 0.0361 1 1 0 0.0002563 0.01459 0.0003304 0.01818 0.5036 0.06192 0.1508 0.02368 1 1 0.003151 0.02183 0 0.2912 2.017 0 json
t20_x46_u0_b63 20 46 0 63 add(D,mod(min(R,P),D)) 168825 164270529 o2(x,o2(o2(x,x),x)) true 59007 59007 -0.07951 0.3489 0.1425 0.02638 0.1624 -0.534 0.452 0.9859 1 3.36 0.008832 0.0001093 0.07414 0.9755 1 -0.00003607 0.01846 0.1012 0.003445 0.05869 0.7916 0.438 0.3389 0.6995 1 1 0.008626 0.03786 0.01601 0.327 1.435 0.607 json
t20_x46_u0_b64 20 46 0 64 add(D,mod(dot(R,P),D)) 168826 164270530 o2(x,o2(o2(x,x),x)) true 59015 59015 -0.00943 0.4821 0.1282 0.02641 0.1625 -0.5343 0.5117 1.046 1 3.418 0.01008 0.0002591 0.08102 0.9499 1 0.0000819 0.02439 0.114 0.003774 0.06143 0.7582 0.4603 0.3915 0.9235 1 1 0.008488 0.03836 0.02963 0.3214 1.453 1.122 json
t20_x46_u0_b65 20 46 0 65 add(D,mod(dst(R,P),D)) 168827 164270531 o2(x,o2(o2(x,x),x)) true 59023 59023 0.1433 0.7539 0.1622 0.02165 0.1471 -0.1315 0.5361 0.6676 1 3.132 0.0109 0.00005587 0.0826 0.9898 1 -0.0001816 0.02527 0.1173 0.004131 0.06427 0.7781 0.4527 0.5059 1.167 1 1 0.009238 0.04085 0.007926 0.4267 1.887 0.3661 json
t20_x46_u0_b66 20 46 0 66 add(D,lrg(add(R,P),D)) 168828 164270532 o2(x,o2(o2(x,x),x)) true 59031 59031 0.479 0.7763 0.5209 0.2161 0.4648 -0.1454 1 1.145 1 3.385 0.003003 0.0001552 0.03422 0.9017 1 -0.000009138 0.003878 0.01913 0.001988 0.04459 1.303 0.9301 0.01462 0.01795 1 1 0.004782 0.0305 0.08 0.02213 0.1411 0.3703 json
t20_x46_u0_b67 20 46 0 67 add(D,lrg(sub(R,P),D)) 168829 164270533 o2(x,o2(o2(x,x),x)) true 59039 59039 0.4783 0.753 0.5243 0.2284 0.478 -0.1454 1 1.145 1 3.165 0.003722 0.0001648 0.03372 0.9152 1 0.0001486 0.004846 0.02139 0.002751 0.05245 1.555 1.024 0.01701 0.02121 1 1 0.006095 0.03824 0.08527 0.02668 0.1674 0.3732 json
t20_x46_u0_b68 20 46 0 68 add(D,lrg(mlt(R,P),D)) 168830 164270534 o2(x,o2(o2(x,x),x)) true 59047 59047 0.4662 0.8575 0.4887 0.1459 0.382 -0.1454 1 1.145 1 4.095 0.01105 0.002174 0.07161 0.6712 1 -0.000004732 0.01792 0.03871 0.008099 0.08999 1.257 0.951 0.09065 0.1228 1 1 0.01946 0.1287 0.2623 0.1334 0.8819 1.798 json
t20_x46_u0_b69 20 46 0 69 add(D,lrg(div(R,P),D)) 168831 164270535 o2(x,o2(o2(x,x),x)) true 59055 59055 0.4891 0.9378 0.4983 0.09802 0.3131 -0.1454 1 1.145 1 4.158 0.03482 0.00109 0.1011 0.9393 1 -0.0005187 0.07074 0.09717 0.02567 0.1602 1.584 0.9808 0.3663 0.7217 1 1 0.03559 0.1294 0.1806 0.3631 1.32 1.842 json
t20_x46_u0_b70 20 46 0 70 add(D,lrg(pow(R,P),D)) 168832 164270536 o2(x,o2(o2(x,x),x)) true 59063 59063 0.9042 1 0.9042 0.02347 0.1532 0.03125 1 0.9688 1 2.112 0.006193 0.0003795 0.0336 0.8845 1 0.0002045 0.01227 0.02912 0.005444 0.07378 2.196 0.9378 0.2801 0.5228 1 1 0.006395 0.02512 0.03145 0.2725 1.07 1.34 json
t20_x46_u0_b71 20 46 0 71 add(D,lrg(mod(R,P),D)) 168833 164270537 o2(x,o2(o2(x,x),x)) true 59071 59071 0.5221 0.8866 0.5405 0.1381 0.3717 -0.1454 1 1.145 1 4.055 0.01821 0.001965 0.08037 0.8052 1 0.00007861 0.03423 0.06474 0.01372 0.1171 1.457 0.9808 0.1461 0.2478 1 1 0.02289 0.1301 0.2475 0.1657 0.9422 1.792 json
t20_x46_u0_b72 20 46 0 72 add(D,lrg(lrg(R,P),D)) 168834 164270538 o2(x,o2(o2(x,x),x)) true 59079 59079 0.7392 1 0.7392 0.09123 0.3021 0.03125 1 0.9688 1 3.249 0.02831 0.00004928 0.0659 0.9965 1 0.0002452 0.05976 0.06696 0.02401 0.155 2.351 0.9378 0.3108 0.6551 1 1 0.02813 0.07063 0.03271 0.3084 0.7742 0.3586 json
t20_x46_u0_b73 20 46 0 73 add(D,lrg(eql(R,P),D)) 168835 164270539 o2(x,o2(o2(x,x),x)) true 59087 59087 0.5 1 0.5 0.08301 0.2881 0.03125 0.9688 0.9375 1 4 0.05599 0 0.1146 1 1 0 0.119 0.119 0.04284 0.207 1.806 0.9375 0.6745 1.434 1 1 0.05321 0.125 0 0.641 1.506 0 json
t20_x46_u0_b74 20 46 0 74 add(D,lrg(min(R,P),D)) 168836 164270540 o2(x,o2(o2(x,x),x)) true 59095 59095 0.2426 0.7045 0.297 0.1226 0.3502 -0.1454 1 1.145 1 3.932 0.01192 0.001058 0.06358 0.8369 1 0.00002683 0.02144 0.04444 0.008935 0.09452 1.487 0.9808 0.1058 0.1748 1 1 0.01545 0.08656 0.1512 0.126 0.7058 1.233 json
t20_x46_u0_b75 20 46 0 75 add(D,lrg(dot(R,P),D)) 168837 164270541 o2(x,o2(o2(x,x),x)) true 59103 59103 0.4482 0.8403 0.4735 0.1495 0.3867 -0.1454 1 1.145 1 4.088 0.007764 0.002359 0.06846 0.5339 1 -0.00003743 0.01093 0.03143 0.005436 0.07373 1.077 0.951 0.0677 0.07307 1 1 0.0165 0.1299 0.2803 0.1104 0.8686 1.874 json
t20_x46_u0_b76 20 46 0 76 add(D,lrg(dst(R,P),D)) 168838 164270542 o2(x,o2(o2(x,x),x)) true 59111 59111 0.9527 1 0.9527 0.003245 0.05696 0.5938 1 0.4062 1 1.341 0.0007485 5.189e-7 0.01825 0.9986 1 0.0001582 0.000366 0.01341 0.000416 0.0204 1.117 0.379 0.2308 0.1128 1 1 0.001361 0.005632 0.0001286 0.4195 1.736 0.03964 json
t20_x46_u0_b77 20 46 0 77 add(D,eql(add(R,P),D)) 168839 164270543 o2(x,o2(o2(x,x),x)) true 59119 59119 0.000082 0.5 0.09444 0.01088 0.1043 -0.1454 0.7495 0.8949 1 2.564 0.001695 6.316e-7 0.03621 0.9993 1 2.395e-7 0.0004409 0.01484 0.000385 0.01962 0.5419 0.7026 0.1558 0.04053 1 1 0.003151 0.02183 0.00003293 0.2897 2.007 0.003027 json
t20_x46_u0_b78 20 46 0 78 add(D,eql(sub(R,P),D)) 168840 164270544 o2(x,o2(o2(x,x),x)) true 59127 59127 0 0.5 0.09436 0.01082 0.104 -0.1454 0.1454 0.2908 1 2.561 0.001632 0 0.0361 1 1 0 0.0002563 0.01459 0.0003304 0.01818 0.5036 0.06192 0.1508 0.02368 1 1 0.003151 0.02183 0 0.2912 2.017 0 json
t20_x46_u0_b79 20 46 0 79 add(D,eql(mlt(R,P),D)) 168841 164270545 o2(x,o2(o2(x,x),x)) true 59135 59135 0.00004008 0.5 0.0944 0.01084 0.1041 -0.1454 0.4062 0.5516 1 2.563 0.001648 1.509e-7 0.03614 0.9998 1 1.17e-7 0.0003004 0.01471 0.0003422 0.0185 0.5118 0.3694 0.152 0.02771 1 1 0.003151 0.02183 0.000007865 0.2907 2.014 0.0007256 json
t20_x46_u0_b80 20 46 0 80 add(D,eql(div(R,P),D)) 168842 164270546 o2(x,o2(o2(x,x),x)) true 59143 59143 0.0002761 0.5 0.09464 0.01106 0.1051 -0.1454 1 1.145 1 2.568 0.00202 0.00000281 0.0366 0.9972 1 1.17e-7 0.001406 0.01566 0.0006836 0.02615 0.7143 0.969 0.1829 0.1272 1 1 0.003151 0.02183 0.000007865 0.285 1.975 0.0007114 json
t20_x46_u0_b81 20 46 0 81 add(D,eql(pow(R,P),D)) 168843 164270547 o2(x,o2(o2(x,x),x)) true 59151 59151 0 0.5 0.09436 0.01082 0.104 -0.1454 0.1454 0.2908 1 2.561 0.001632 0 0.0361 1 1 0 0.0002563 0.01459 0.0003304 0.01818 0.5036 0.06192 0.1508 0.02368 1 1 0.003151 0.02183 0 0.2912 2.017 0 json
t20_x46_u0_b82 20 46 0 82 add(D,eql(mod(R,P),D)) 168844 164270548 o2(x,o2(o2(x,x),x)) true 59159 59159 0.00004008 0.5 0.0944 0.01084 0.1041 -0.1454 0.4062 0.5516 1 2.563 0.001648 1.509e-7 0.03614 0.9998 1 1.17e-7 0.0003004 0.01471 0.0003422 0.0185 0.5118 0.3694 0.152 0.02771 1 1 0.003151 0.02183 0.000007865 0.2907 2.014 0.0007256 json
t20_x46_u0_b83 20 46 0 83 add(D,eql(lrg(R,P),D)) 168845 164270549 o2(x,o2(o2(x,x),x)) true 59167 59167 0 0.5 0.09436 0.01082 0.104 -0.1454 0.1454 0.2908 1 2.561 0.001632 0 0.0361 1 1 0 0.0002563 0.01459 0.0003304 0.01818 0.5036 0.06192 0.1508 0.02368 1 1 0.003151 0.02183 0 0.2912 2.017 0 json
t20_x46_u0_b84 20 46 0 84 add(D,eql(eql(R,P),D)) 168846 164270550 o2(x,o2(o2(x,x),x)) true 59175 59175 0 0.5 0.09436 0.01082 0.104 -0.1454 0.1454 0.2908 1 2.561 0.001632 0 0.0361 1 1 0 0.0002563 0.01459 0.0003304 0.01818 0.5036 0.06192 0.1508 0.02368 1 1 0.003151 0.02183 0 0.2912 2.017 0 json
t20_x46_u0_b85 20 46 0 85 add(D,eql(min(R,P),D)) 168847 164270551 o2(x,o2(o2(x,x),x)) true 59183 59183 0.00004008 0.5 0.0944 0.01084 0.1041 -0.1454 0.4062 0.5516 1 2.563 0.001648 1.509e-7 0.03614 0.9998 1 1.17e-7 0.0003004 0.01471 0.0003422 0.0185 0.5118 0.3694 0.152 0.02771 1 1 0.003151 0.02183 0.000007865 0.2907 2.014 0.0007256 json
t20_x46_u0_b86 20 46 0 86 add(D,eql(dot(R,P),D)) 168848 164270552 o2(x,o2(o2(x,x),x)) true 59191 59191 0 0.5 0.09436 0.01082 0.104 -0.1454 0.1454 0.2908 1 2.561 0.001632 0 0.0361 1 1 0 0.0002563 0.01459 0.0003304 0.01818 0.5036 0.06192 0.1508 0.02368 1 1 0.003151 0.02183 0 0.2912 2.017 0 json
t20_x46_u0_b87 20 46 0 87 add(D,eql(dst(R,P),D)) 168849 164270553 o2(x,o2(o2(x,x),x)) true 59199 59199 0 0.5 0.09436 0.01082 0.104 -0.1454 0.1454 0.2908 1 2.561 0.001632 0 0.0361 1 1 0 0.0002563 0.01459 0.0003304 0.01818 0.5036 0.06192 0.1508 0.02368 1 1 0.003151 0.02183 0 0.2912 2.017 0 json
t20_x46_u0_b88 20 46 0 88 add(D,min(add(R,P),D)) 168850 164270554 o2(x,o2(o2(x,x),x)) true 59207 59207 -0.49 0.2302 0.5765 0.2499 0.4999 -1 0.2908 1.291 1 2.996 0.003554 0.0001776 0.0409 0.9048 1 0.0003132 0.0005852 0.01582 0.002059 0.04537 1.109 0.2207 0.01494 0.002342 1 1 0.007465 0.06051 0.08066 0.02987 0.2422 0.3228 json
t20_x46_u0_b89 20 46 0 89 add(D,min(sub(R,P),D)) 168851 164270555 o2(x,o2(o2(x,x),x)) true 59215 59215 -0.4657 0.2586 0.5627 0.2593 0.5092 -1 0.2908 1.291 1 2.972 0.004078 0.0001835 0.0432 0.9139 1 -0.0003198 0.0007565 0.01774 0.002396 0.04894 1.133 0.2937 0.01644 0.002918 1 1 0.008668 0.06419 0.07983 0.03343 0.2475 0.3079 json
t20_x46_u0_b90 20 46 0 90 add(D,min(mlt(R,P),D)) 168852 164270556 o2(x,o2(o2(x,x),x)) true 59223 59223 -0.548 0.1581 0.5943 0.193 0.4393 -1 0.2908 1.291 1 3.574 0.006399 0.004308 0.06904 0.1953 1 0.0001965 0.003451 0.03033 0.00594 0.07707 1.116 0.5072 0.05549 0.01789 1 1 0.0185 0.1639 0.2796 0.09589 0.8494 1.449 json
t20_x46_u0_b91 20 46 0 91 add(D,min(div(R,P),D)) 168853 164270557 o2(x,o2(o2(x,x),x)) true 59231 59231 -0.2434 0.2162 0.2915 0.09728 0.3119 -1 0.2908 1.291 1 3.726 0.008239 0.002707 0.06312 0.5054 1 0.0002891 0.01401 0.03624 0.006962 0.08344 1.322 1.417 0.1125 0.144 1 1 0.01772 0.09705 0.1498 0.1822 0.9976 1.539 json
t20_x46_u0_b92 20 46 0 92 add(D,min(pow(R,P),D)) 168854 164270558 o2(x,o2(o2(x,x),x)) true 59239 59239 -0.0141 0.4831 0.1888 0.0438 0.2093 -0.3844 0.2908 0.6752 1 3.163 0.006435 0.00002512 0.07185 0.9922 1 0.00003749 0.001025 0.02907 0.0013 0.03605 0.5018 0.1347 0.1475 0.02341 1 1 0.01258 0.08702 0.002267 0.2873 1.987 0.05175 json
t20_x46_u0_b93 20 46 0 93 add(D,min(mod(R,P),D)) 168855 164270559 o2(x,o2(o2(x,x),x)) true 59247 59247 -0.2568 0.2305 0.3306 0.09466 0.3077 -1 0.2908 1.291 1 4.192 0.00507 0.0009312 0.06813 0.6897 1 0.00002331 0.0008122 0.02408 0.00136 0.03687 0.5412 0.2036 0.0634 0.008581 1 1 0.01126 0.09757 0.1145 0.1189 1.031 1.21 json
t20_x46_u0_b94 20 46 0 94 add(D,min(lrg(R,P),D)) 168856 164270560 o2(x,o2(o2(x,x),x)) true 59255 59255 -0.0676 0.4116 0.1872 0.04245 0.206 -0.3844 0.2908 0.6753 1 3.439 0.00563 0.000003992 0.06643 0.9986 1 0.00007322 0.0009122 0.02772 0.001222 0.03496 0.5263 0.1238 0.1327 0.02149 1 1 0.01089 0.07343 0.003056 0.2566 1.73 0.072 json
t20_x46_u0_b95 20 46 0 95 add(D,min(eql(R,P),D)) 168857 164270561 o2(x,o2(o2(x,x),x)) true 59263 59263 -0.143 0.3125 0.1858 0.03088 0.1757 -0.3844 0.1014 0.4858 1 3.078 0.004729 0 0.06057 1 1 0.0003063 0.0007778 0.02594 0.00106 0.03255 0.5374 0.1175 0.1531 0.02518 1 1 0.009147 0.06194 0 0.2962 2.006 0 json
t20_x46_u0_b96 20 46 0 96 add(D,min(min(R,P),D)) 168858 164270562 o2(x,o2(o2(x,x),x)) true 59271 59271 -0.6342 0.09186 0.6612 0.1619 0.4023 -1 0.2908 1.291 1 3.296 0.002499 0.0005203 0.03596 0.6554 1 0.0002447 0.0003888 0.0123 0.001726 0.04155 1.155 0.2036 0.01865 0.002402 1 1 0.005909 0.05539 0.09919 0.0365 0.3422 0.6128 json
t20_x46_u0_b97 20 46 0 97 add(D,min(dot(R,P),D)) 168859 164270563 o2(x,o2(o2(x,x),x)) true 59279 59279 -0.6457 0.1296 0.6859 0.1923 0.4385 -1 0.2908 1.291 1 2.992 0.006849 0.005707 0.0658 0.09099 1 0.0002737 0.005156 0.03328 0.008229 0.09071 1.379 0.5726 0.0653 0.02681 1 1 0.02219 0.1844 0.3172 0.1154 0.9591 1.65 json
t20_x46_u0_b98 20 46 0 98 add(D,min(dst(R,P),D)) 168860 164270564 o2(x,o2(o2(x,x),x)) true 59287 59287 -0.00001436 0.5 0.1887 0.0433 0.2081 -0.3047 0.2908 0.5955 1 2.905 0.006531 2.165e-9 0.0722 1 1 -1.173e-12 0.001025 0.02918 0.001322 0.03636 0.5036 0.1239 0.1508 0.02368 1 1 0.01261 0.08736 5.362e-7 0.2912 2.018 0.00001238 json
t20_x46_u0_b99 20 46 0 99 add(D,dot(add(R,P),D)) 168861 164270565 o2(x,o2(o2(x,x),x)) true 59295 59295 -0.2321 0.3483 0.5448 0.3549 0.5957 -1 1 2 1 4.671 0.02847 0.02738 0.1914 0.01946 1 0.002617 0.01658 0.08207 0.01923 0.1387 0.7246 0.6912 0.1574 0.04671 1 1 0.0722 0.5153 0.08461 0.2035 1.452 0.2384 json
t20_x46_u0_b100 20 46 0 100 add(D,dot(sub(R,P),D)) 168862 164270566 o2(x,o2(o2(x,x),x)) true 59303 59303 0.2362 0.6518 0.5495 0.3593 0.5994 -1 1 2 1 4.656 0.02899 0.02788 0.1923 0.01939 1 -0.002715 0.01727 0.08314 0.0199 0.1411 0.7336 0.6906 0.1583 0.04805 1 1 0.07237 0.5122 0.08777 0.2014 1.426 0.2443 json
t20_x46_u0_b101 20 46 0 101 add(D,dot(mlt(R,P),D)) 168863 164270567 o2(x,o2(o2(x,x),x)) true 59311 59311 -0.01255 0.4934 0.4927 0.3626 0.6022 -1 1 2 1 4.721 0.01528 0.01451 0.1315 0.02608 1 0.0001952 0.00796 0.05008 0.01248 0.1117 0.8494 0.749 0.08215 0.02195 1 1 0.03937 0.4052 0.5651 0.1086 1.118 1.559 json
t20_x46_u0_b102 20 46 0 102 add(D,dot(div(R,P),D)) 168864 164270568 o2(x,o2(o2(x,x),x)) true 59319 59319 -0.2284 0.3972 0.315 0.1943 0.4408 -1 0.5306 1.531 1 3.098 0.008514 0.007413 0.04377 0.06915 1 -0.0000026 0.02895 0.03922 0.01401 0.1184 2.704 1.434 0.08197 0.149 1 1 0.02134 0.0989 0.3054 0.1099 0.509 1.572 json
t20_x46_u0_b103 20 46 0 103 add(D,dot(pow(R,P),D)) 168865 164270569 o2(x,o2(o2(x,x),x)) true 59327 59327 -0.9901 0.005661 0.9933 0.01175 0.1084 -1 1 2 1 0.1069 0.001493 0.001949 0.003309 -0.1327 1 -8.635e-11 0.007299 0.005497 0.003432 0.05858 17.71 2 0.293 0.6213 1 1 0.006228 0.0212 0.04225 0.5302 1.805 3.596 json
t20_x46_u0_b104 20 46 0 104 add(D,dot(mod(R,P),D)) 168866 164270570 o2(x,o2(o2(x,x),x)) true 59335 59335 -0.2289 0.3968 0.3578 0.2136 0.4622 -1 0.6964 1.696 1 3.656 0.008992 0.007931 0.054 0.06268 1 -0.0001397 0.02895 0.04054 0.01401 0.1184 2.192 1.429 0.07921 0.1355 1 1 0.02261 0.1133 0.3277 0.1059 0.5302 1.534 json
t20_x46_u0_b105 20 46 0 105 add(D,dot(lrg(R,P),D)) 168867 164270571 o2(x,o2(o2(x,x),x)) true 59343 59343 0.01788 0.5226 0.1552 0.03483 0.1866 -0.4362 0.5958 1.032 1 3.571 0.004103 0.0008593 0.06254 0.6537 1 -0.0003163 0.0007688 0.0232 0.001053 0.03245 0.5189 0.1474 0.1425 0.02207 1 1 0.009579 0.06733 0.007644 0.275 1.933 0.2194 json
t20_x46_u0_b106 20 46 0 106 add(D,dot(eql(R,P),D)) 168868 164270572 o2(x,o2(o2(x,x),x)) true 59351 59351 0 0.5 0.09436 0.01082 0.104 -0.1454 0.1454 0.2908 1 2.561 0.001632 0 0.0361 1 1 0 0.0002563 0.01459 0.0003304 0.01818 0.5036 0.06192 0.1508 0.02368 1 1 0.003151 0.02183 0 0.2912 2.017 0 json
t20_x46_u0_b107 20 46 0 107 add(D,dot(min(R,P),D)) 168869 164270573 o2(x,o2(o2(x,x),x)) true 59359 59359 -0.1297 0.3874 0.3564 0.1965 0.4433 -1 1 2 1 4.682 0.01142 0.01553 0.1249 -0.1527 1 0.001874 0.005913 0.04951 0.01134 0.1065 0.8524 0.5709 0.1371 0.03009 1 1 0.03069 0.2164 0.04833 0.1561 1.101 0.2459 json
t20_x46_u0_b108 20 46 0 108 add(D,dot(dot(R,P),D)) 168870 164270574 o2(x,o2(o2(x,x),x)) true 59367 59367 0.003398 0.502 0.6046 0.4966 0.7047 -1 1 2 1 4.404 0.02231 0.0249 0.1461 -0.05494 1 -0.0002246 0.02205 0.06947 0.02588 0.1609 1.101 1.349 0.09505 0.0444 1 1 0.06499 0.5958 0.8651 0.1309 1.2 1.742 json
t20_x46_u0_b109 20 46 0 109 add(D,dot(dst(R,P),D)) 168871 164270575 o2(x,o2(o2(x,x),x)) true 59375 59375 0.0001606 0.5004 0.6147 0.5071 0.7121 -1 1 2 1 4.386 0.05643 0.04047 0.2377 0.1646 1 0.00002846 0.04864 0.1209 0.04038 0.2009 0.8453 0.968 0.1911 0.09591 1 1 0.1334 0.8117 0.05847 0.263 1.601 0.1153 json
t20_x46_u0_b110 20 46 0 110 add(D,dst(add(R,P),D)) 168872 164270576 o2(x,o2(o2(x,x),x)) true 59383 59383 0.9995 1 0.9995 0.0001881 0.01372 0.3894 1 0.6106 1 0.02045 0.00002004 0.00001303 0.0002404 0.2121 0 -7.509e-12 0.00001948 0.0001741 0.00003297 0.005742 23.89 0.2156 0.1757 0.1035 1 1 0.0001039 0.0006213 0.0006843 0.5523 3.302 3.637 json
t20_x46_u0_b111 20 46 0 111 add(D,dst(sub(R,P),D)) 168873 164270577 o2(x,o2(o2(x,x),x)) true 59391 59391 0.9985 1 0.9985 0.0004668 0.02161 0.3541 1 0.6459 1 0.07598 0.00003918 0.00001877 0.0006827 0.3523 0 1.239e-10 0.0000278 0.0004592 0.00005749 0.007582 11.11 0.161 0.1241 0.05954 1 1 0.0001853 0.00127 0.001663 0.397 2.72 3.562 json
t20_x46_u0_b112 20 46 0 112 add(D,dst(mlt(R,P),D)) 168874 164270578 o2(x,o2(o2(x,x),x)) true 59399 59399 0.9728 0.9999 0.9728 0.01247 0.1117 -0.06254 1 1.063 1 0.6472 0.0005448 0.0004966 0.008685 0.0463 1 -0.000009475 0.0005078 0.005255 0.0009664 0.03109 3.58 0.3214 0.08354 0.04073 1 1 0.002716 0.02113 0.03254 0.2179 1.695 2.611 json
t20_x46_u0_b113 20 46 0 113 add(D,dst(div(R,P),D)) 168875 164270579 o2(x,o2(o2(x,x),x)) true 59407 59407 -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_x46_u0_b114 20 46 0 114 add(D,dst(pow(R,P),D)) 168876 164270580 o2(x,o2(o2(x,x),x)) true 59415 59415 -0.9766 0.01172 1 0.0463 0.2152 -1 1 2 1 0.09198 0.006047 0.004031 0.005002 0.2 1 0 0.02116 0.01008 0.01005 0.1002 20.04 2.828 0.2177 0.4571 1 1 0.01773 0.07091 0.1684 0.3829 1.532 3.638 json
t20_x46_u0_b115 20 46 0 115 add(D,dst(mod(R,P),D)) 168877 164270581 o2(x,o2(o2(x,x),x)) true 59423 59423 0.4657 0.7656 0.9344 0.675 0.8216 -1 1 2 1 2.214 0.02656 0.02605 0.0466 0.009557 1 -0.00001075 0.1032 0.06339 0.05045 0.2246 4.82 2.828 0.07794 0.1529 1 1 0.06559 0.2752 1.067 0.09717 0.4077 1.581 json
t20_x46_u0_b116 20 46 0 116 add(D,dst(lrg(R,P),D)) 168878 164270582 o2(x,o2(o2(x,x),x)) true 59431 59431 0.9224 1 0.9224 0.03598 0.1897 0.01245 1 0.9875 1 1.476 0.001012 0.0006487 0.01823 0.2187 1 -0.00001402 0.0003808 0.007566 0.001328 0.03645 1.999 0.1732 0.04615 0.01058 1 1 0.003292 0.02969 0.0445 0.0915 0.8253 1.237 json
t20_x46_u0_b117 20 46 0 117 add(D,dst(eql(R,P),D)) 168879 164270583 o2(x,o2(o2(x,x),x)) true 59439 59439 0.4439 1 0.4439 0.03586 0.1894 0.01377 0.7717 0.7579 1 3.541 0.0036 0.001981 0.07045 0.29 1 -0.0006856 0.0009301 0.02391 0.0006193 0.02489 0.3533 0.1304 0.1557 0.02594 1 1 0.01071 0.07252 0 0.2987 2.022 0 json
t20_x46_u0_b118 20 46 0 118 add(D,dst(min(R,P),D)) 168880 164270584 o2(x,o2(o2(x,x),x)) true 59447 59447 0.9559 1 0.9559 0.01594 0.1263 0.09925 1 0.9007 1 1.053 0.0006914 0.000371 0.01235 0.3016 1 0.0000601 0.0003428 0.00604 0.00091 0.03017 2.443 0.2863 0.06664 0.02151 1 1 0.001804 0.01417 0.02168 0.1132 0.8887 1.36 json
t20_x46_u0_b119 20 46 0 119 add(D,dst(dot(R,P),D)) 168881 164270585 o2(x,o2(o2(x,x),x)) true 59455 59455 0.9764 1 0.9764 0.01148 0.1071 -0.0002764 1 1 1 0.5416 0.0007176 0.0008589 0.00918 -0.0896 1 -0.00008009 0.001073 0.006971 0.001492 0.03863 4.207 0.4952 0.1374 0.09347 1 1 0.00388 0.02365 0.03072 0.3381 2.061 2.677 json
t20_x46_u0_b120 20 46 0 120 add(D,dst(dst(R,P),D)) 168882 164270586 o2(x,o2(o2(x,x),x)) true 59463 59463 1 1 1 3.119e-8 0.0001766 0.9705 1 0.0295 1 0 2.149e-8 3.908e-8 0.000002957 -0.2903 0 3.754e-12 1.779e-7 0.000005427 6.055e-8 0.0002461 83.23 0.03247 1.942 5.702 1 1 1.027e-7 1.133e-7 1.133e-7 3.291 3.631 3.631 json
t20_x46_u0_b121 20 46 0 121 sub(D,add(add(R,P),D)) 168883 164270587 o2(x,o2(o2(x,x),x)) true 59471 59471 -0.003757 0.5026 0.9428 0.9208 0.9596 -1 1 2 1 1.952 0.001169 0.000358 0.0111 0.5311 1 0.00002042 0.0002765 0.003741 0.001403 0.03746 3.374 0.312 0.001658 0.0003002 1 1 0.003726 0.04331 0.2691 0.004046 0.04703 0.2923 json
t20_x46_u0_b122 20 46 0 122 sub(D,add(sub(R,P),D)) 168884 164270588 o2(x,o2(o2(x,x),x)) true 59479 59479 -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_x46_u0_b123 20 46 0 123 sub(D,add(mlt(R,P),D)) 168885 164270589 o2(x,o2(o2(x,x),x)) true 59487 59487 0.0623 0.528 0.7239 0.644 0.8025 -1 1 2 1 3.79 0.01645 0.01963 0.09244 -0.08822 1 0.00004552 0.0199 0.04926 0.02753 0.1659 1.795 1.466 0.05602 0.0309 1 1 0.05074 0.4449 1.04 0.07878 0.6908 1.616 json
t20_x46_u0_b124 20 46 0 124 sub(D,add(div(R,P),D)) 168886 164270590 o2(x,o2(o2(x,x),x)) true 59495 59495 -0.1238 0.4699 0.2314 0.1375 0.3709 -1 0.8978 1.898 1 3.49 0.009749 0.0004369 0.02498 0.9142 1 0.000007081 0.01891 0.019 0.009561 0.09778 3.914 1.898 0.07406 0.1375 1 1 0.01397 0.06912 0.2308 0.1016 0.5026 1.678 json
t20_x46_u0_b125 20 46 0 125 sub(D,add(pow(R,P),D)) 168887 164270591 o2(x,o2(o2(x,x),x)) true 59503 59503 -0.9938 0 0.9938 0.003726 0.06104 -1 -0.0007056 0.9993 1 0.1713 0.000419 0.0004052 0.001787 0.0167 1 -0.000001838 0.001693 0.002575 0.0008212 0.02866 16.04 0.9993 0.2212 0.4542 1 1 0.0003514 0.001641 0.004903 0.09429 0.4404 1.316 json
t20_x46_u0_b126 20 46 0 126 sub(D,add(mod(R,P),D)) 168888 164270592 o2(x,o2(o2(x,x),x)) true 59511 59511 -0.13 0.4424 0.4674 0.299 0.5468 -1 0.9989 1.999 1 4.772 0.009135 0.002792 0.06071 0.5319 1 -0.00004824 0.01399 0.02491 0.008242 0.09079 1.495 1.947 0.03989 0.04678 1 1 0.01937 0.1638 0.4994 0.06477 0.5479 1.67 json
t20_x46_u0_b127 20 46 0 127 sub(D,add(lrg(R,P),D)) 168889 164270593 o2(x,o2(o2(x,x),x)) true 59519 59519 -0.4961 0 0.4961 0.2412 0.4911 -1 0 1 1 1.527 0.0003238 0.0001053 0.004981 0.5091 1 0.000005705 0.00002256 0.001187 0.0004044 0.02011 4.037 0.1169 0.001779 0.00009352 1 1 0.001146 0.01504 0.08976 0.004753 0.06234 0.3721 json
t20_x46_u0_b128 20 46 0 128 sub(D,add(eql(R,P),D)) 168890 164270594 o2(x,o2(o2(x,x),x)) true 59527 59527 0 0 0 0 0 0 0 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_x46_u0_b129 20 46 0 129 sub(D,add(min(R,P),D)) 168891 164270595 o2(x,o2(o2(x,x),x)) true 59535 59535 0.4947 0.7749 0.669 0.3314 0.5756 -0.9806 1 1.981 1 3.609 0.001675 0.001465 0.03457 0.06692 1 5.685e-7 0.0001859 0.007986 0.001945 0.0441 1.276 0.219 0.009476 0.0005609 1 1 0.006236 0.08108 0.2653 0.01882 0.2447 0.8006 json
t20_x46_u0_b130 20 46 0 130 sub(D,add(dot(R,P),D)) 168892 164270596 o2(x,o2(o2(x,x),x)) true 59543 59543 0.09414 0.5421 0.842 0.7849 0.886 -1 1 2 1 2.916 0.02451 0.0331 0.1019 -0.1491 1 -0.0000297 0.04608 0.07442 0.04725 0.2174 2.133 1.874 0.07341 0.0587 1 1 0.0731 0.5655 1.363 0.09312 0.7204 1.737 json
t20_x46_u0_b131 20 46 0 131 sub(D,add(dst(R,P),D)) 168893 164270597 o2(x,o2(o2(x,x),x)) true 59551 59551 -0.9991 0 0.9991 0.0002231 0.01494 -1 -0.5928 0.4072 1 0.04809 0.000009663 0.00001458 0.0003494 -0.2029 0 -7.133e-11 0.00001288 0.0002502 0.00002412 0.004912 14.06 0.1585 0.1087 0.05776 1 1 0.00007594 0.0005734 0.0008112 0.3404 2.571 3.637 json
t20_x46_u0_b132 20 46 0 132 sub(D,sub(add(R,P),D)) 168894 164270598 o2(x,o2(o2(x,x),x)) true 59559 59559 -0.003802 0.5026 0.9424 0.9208 0.9596 -1 1 2 1 1.952 0.002751 0.0003618 0.01694 0.7675 1 0.00002072 0.0008352 0.007975 0.002827 0.05317 3.139 0.4208 0.00338 0.0009071 1 1 0.007622 0.06297 0.2692 0.008278 0.06839 0.2923 json
t20_x46_u0_b133 20 46 0 133 sub(D,sub(sub(R,P),D)) 168895 164270599 o2(x,o2(o2(x,x),x)) true 59567 59567 -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_x46_u0_b134 20 46 0 134 sub(D,sub(mlt(R,P),D)) 168896 164270600 o2(x,o2(o2(x,x),x)) true 59575 59575 0.06181 0.5315 0.7331 0.6502 0.8063 -1 1 2 1 3.755 0.01954 0.01947 0.1037 0.001718 1 0.00003705 0.02148 0.05553 0.02825 0.1681 1.62 1.5 0.06 0.03303 1 1 0.05686 0.4762 1.029 0.08746 0.7325 1.583 json
t20_x46_u0_b135 20 46 0 135 sub(D,sub(div(R,P),D)) 168897 164270601 o2(x,o2(o2(x,x),x)) true 59583 59583 -0.1237 0.4385 0.3191 0.1722 0.415 -1 1 2 1 4.141 0.01504 0.0004355 0.07343 0.9437 1 0.000008213 0.01979 0.0402 0.01008 0.1004 1.367 1.906 0.08986 0.1149 1 1 0.02361 0.135 0.2365 0.1371 0.7839 1.373 json
t20_x46_u0_b136 20 46 0 136 sub(D,sub(pow(R,P),D)) 168898 164270602 o2(x,o2(o2(x,x),x)) true 59591 59591 -0.9933 0.001678 0.9939 0.004044 0.06359 -1 0.2825 1.282 1 0.1896 0.0005046 0.0004615 0.002596 0.04466 1 0.00001825 0.001861 0.003281 0.0009596 0.03098 11.93 1.282 0.2389 0.4602 1 1 0.00035 0.001195 0.004949 0.08654 0.2954 1.224 json
t20_x46_u0_b137 20 46 0 137 sub(D,sub(mod(R,P),D)) 168899 164270603 o2(x,o2(o2(x,x),x)) true 59599 59599 -0.1305 0.4385 0.4876 0.3273 0.5721 -1 1 2 1 4.734 0.01444 0.002753 0.0888 0.6798 1 -0.00006841 0.01502 0.03868 0.009307 0.09647 1.086 1.906 0.05253 0.04591 1 1 0.02886 0.2255 0.4961 0.08817 0.689 1.516 json