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_x72_u0_b112 20 72 0 112 add(R,dst(mlt(R,P),P)) 174100 165321004 o2(x,o2(o2(x,x),x)) true 101207 101207 0.9918 0.9979 0.993 0.006836 0.08268 -0.6648 1 1.665 1 0.1781 0.0003452 0.0001864 0.002472 0.2987 1 -1.126e-11 0.000218 0.001404 0.000526 0.02293 9.276 0.4827 0.07777 0.03189 1 1 0.001712 0.01503 0.02301 0.2505 2.199 3.366 json
t20_x72_u0_b113 20 72 0 113 add(R,dst(div(R,P),P)) 174101 165321005 o2(x,o2(o2(x,x),x)) true 101215 101215 -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_x72_u0_b114 20 72 0 114 add(R,dst(pow(R,P),P)) 174102 165321006 o2(x,o2(o2(x,x),x)) true 101223 101223 -0.9766 0.01172 1 0.04625 0.2151 -1 1 2 1 0.09286 0.00603 0.004012 0.005 0.2009 1 0 0.02108 0.01006 0.01001 0.1001 20.01 2.828 0.2171 0.4557 1 1 0.01767 0.07083 0.1682 0.382 1.531 3.638 json
t20_x72_u0_b115 20 72 0 115 add(R,dst(mod(R,P),P)) 174103 165321007 o2(x,o2(o2(x,x),x)) true 101231 101231 0.5313 0.7656 1 0.7172 0.8469 -1 1 2 1 0.7856 0.02771 0.02771 0.0277 0 1 0 0.1114 0.05543 0.05465 0.2338 8.44 2.828 0.07728 0.1553 1 1 0.07003 0.2801 1.12 0.09763 0.3905 1.562 json
t20_x72_u0_b116 20 72 0 116 add(R,dst(lrg(R,P),P)) 174104 165321008 o2(x,o2(o2(x,x),x)) true 101239 101239 0.9992 1 0.9992 0.0003769 0.01941 0.3552 1 0.6448 1 0.02858 0.00002829 0.00001864 0.0003241 0.2056 0 -1.126e-11 0.00002599 0.000235 0.00004678 0.00684 21.1 0.2428 0.1245 0.06897 1 1 0.0001467 0.001101 0.001372 0.3892 2.923 3.64 json
t20_x72_u0_b117 20 72 0 117 add(R,dst(eql(R,P),P)) 174105 165321009 o2(x,o2(o2(x,x),x)) true 101247 101247 0.9975 1 0.9975 0.000845 0.02907 0.355 1 0.645 1 0.1043 0.0000351 0.00002594 0.0006808 0.15 0 5.632e-12 0.00002703 0.0004198 0.00006059 0.007784 11.43 0.1913 0.07225 0.03199 1 1 0.0001955 0.001629 0.003019 0.2314 1.928 3.573 json
t20_x72_u0_b118 20 72 0 118 add(R,dst(min(R,P),P)) 174106 165321010 o2(x,o2(o2(x,x),x)) true 101255 101255 0.8149 0.941 0.8477 0.1328 0.3645 -0.9986 1 1.999 1 2.109 0.0009506 0.0009854 0.01932 -0.01801 1 -0.00001819 0.0002472 0.005495 0.001563 0.03953 2.046 0.2604 0.01457 0.001861 1 1 0.004068 0.04758 0.1327 0.03062 0.3582 0.999 json
t20_x72_u0_b119 20 72 0 119 add(R,dst(dot(R,P),P)) 174107 165321011 o2(x,o2(o2(x,x),x)) true 101263 101263 0.9979 1 0.9979 0.001075 0.03279 0.1739 1 0.8261 1 0.07133 0.00005871 0.00001694 0.0006074 0.5522 0 5.632e-12 0.00002883 0.0003264 0.00007532 0.008679 14.29 0.2581 0.07035 0.02681 1 1 0.0002446 0.002152 0.003916 0.2275 2.001 3.642 json
t20_x72_u0_b120 20 72 0 120 add(R,dst(dst(R,P),P)) 174108 165321012 o2(x,o2(o2(x,x),x)) true 101271 101271 0.9998 1 0.9998 0.00004135 0.006431 0.7257 1 0.2743 1 0.0151 0.000004209 0.000004712 0.0001077 -0.05643 0 2.253e-11 0.000007377 0.00009834 0.000008904 0.002984 27.7 0.1476 0.2157 0.1784 1 1 0.00002623 0.0001437 0.0001504 0.6342 3.475 3.636 json
t20_x72_u0_b121 20 72 0 121 sub(R,add(add(R,P),P)) 174109 165321013 o2(x,o2(o2(x,x),x)) true 101279 101279 0 0.5 0.9569 0.9494 0.9744 -1 1 2 1 1.488 0.001303 8.615e-19 0.007937 1 1 -2.393e-11 0.0002681 0.003586 0.001241 0.03522 4.438 0.2265 0.001373 0.0002824 1 1 0.003279 0.03268 0.2686 0.003454 0.03442 0.2829 json
t20_x72_u0_b122 20 72 0 122 sub(R,add(sub(R,P),P)) 174110 165321014 o2(x,o2(o2(x,x),x)) true 101287 101287 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_x72_u0_b123 20 72 0 123 sub(R,add(mlt(R,P),P)) 174111 165321015 o2(x,o2(o2(x,x),x)) true 101295 101295 -0.06674 0.4664 0.9183 0.8863 0.9415 -1 1 2 1 2.219 0.002351 0.002401 0.02107 -0.01062 1 -0.00003244 0.001893 0.009944 0.004308 0.06564 3.115 0.8433 0.005362 0.002136 1 1 0.008986 0.08428 0.3411 0.01014 0.09509 0.3848 json
t20_x72_u0_b124 20 72 0 124 sub(R,add(div(R,P),P)) 174112 165321016 o2(x,o2(o2(x,x),x)) true 101303 101303 -0.1344 0.4351 0.9918 0.9704 0.9851 -1 1 2 1 1.178 0.0127 0.0001975 0.008843 0.9694 1 -0.00001497 0.02529 0.01468 0.01281 0.1132 12.8 2.023 0.01329 0.02606 1 1 0.01727 0.07489 0.3293 0.01779 0.07717 0.3394 json
t20_x72_u0_b125 20 72 0 125 sub(R,add(pow(R,P),P)) 174113 165321017 o2(x,o2(o2(x,x),x)) true 101311 101311 -0.9827 0.007462 0.9904 0.02119 0.1456 -1 1 2 1 0.2377 0.002408 0.004301 0.006742 -0.2822 1 0.0001548 0.01421 0.009025 0.006656 0.08158 12.1 2.252 0.3166 0.6705 1 1 0.01003 0.04039 0.06044 0.4733 1.906 2.852 json
t20_x72_u0_b126 20 72 0 126 sub(R,add(mod(R,P),P)) 174114 165321018 o2(x,o2(o2(x,x),x)) true 101319 101319 -0.125 0.4375 1 0.9844 0.9922 -1 1 2 1 0.9887 0.01587 0 0.007937 1 1 0 0.03175 0.01587 0.01581 0.1257 15.84 2 0.01612 0.03225 1 1 0.02105 0.08421 0.3368 0.02139 0.08555 0.3422 json
t20_x72_u0_b127 20 72 0 127 sub(R,add(lrg(R,P),P)) 174115 165321019 o2(x,o2(o2(x,x),x)) true 101327 101327 -0.08616 0.4416 0.8977 0.8533 0.9237 -1 1 2 1 2.427 0.0009351 0.0004743 0.01349 0.3269 1 -0.00001473 0.000258 0.004444 0.001228 0.03504 2.597 0.305 0.001652 0.0003024 1 1 0.003057 0.03452 0.2119 0.003583 0.04046 0.2483 json
t20_x72_u0_b128 20 72 0 128 sub(R,add(eql(R,P),P)) 174116 165321020 o2(x,o2(o2(x,x),x)) true 101335 101335 0.004612 0.4968 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_x72_u0_b129 20 72 0 129 sub(R,add(min(R,P),P)) 174117 165321021 o2(x,o2(o2(x,x),x)) true 101343 101343 0.02263 0.513 0.954 0.9416 0.9704 -1 1 2 1 1.686 0.00103 0.00003851 0.008258 0.9279 1 -0.000006139 0.0001778 0.002713 0.001001 0.03164 3.831 0.2978 0.001135 0.0001888 1 1 0.002734 0.03188 0.2658 0.002903 0.03386 0.2822 json
t20_x72_u0_b130 20 72 0 130 sub(R,add(dot(R,P),P)) 174118 165321022 o2(x,o2(o2(x,x),x)) true 101351 101351 -0.02363 0.4893 0.9343 0.9107 0.9543 -1 1 2 1 2.046 0.01261 0.01592 0.05142 -0.116 1 0.0001473 0.02297 0.03899 0.02589 0.1609 3.13 2.028 0.03133 0.02522 1 1 0.04165 0.3236 0.7293 0.04574 0.3553 0.8008 json
t20_x72_u0_b131 20 72 0 131 sub(R,add(dst(R,P),P)) 174119 165321023 o2(x,o2(o2(x,x),x)) true 101359 101359 -0.8857 0 0.8857 0.0711 0.2666 -1 -0.002289 0.9977 1 1.353 0.0001277 0.000212 0.00576 -0.2483 1 -0.000001602 0.00008794 0.001989 0.0003063 0.0175 3.038 0.2246 0.004778 0.001237 1 1 0.00094 0.00991 0.05186 0.01322 0.1394 0.7294 json
t20_x72_u0_b132 20 72 0 132 sub(R,sub(add(R,P),P)) 174120 165321024 o2(x,o2(o2(x,x),x)) true 101367 101367 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_x72_u0_b133 20 72 0 133 sub(R,sub(sub(R,P),P)) 174121 165321025 o2(x,o2(o2(x,x),x)) true 101375 101375 0 0.5 0.9569 0.9494 0.9744 -1 1 2 1 1.488 0.001303 5.744e-19 0.007937 1 1 -1.596e-11 0.0002681 0.003586 0.001241 0.03522 4.438 0.2265 0.001373 0.0002824 1 1 0.003279 0.03268 0.2686 0.003454 0.03442 0.2829 json
t20_x72_u0_b134 20 72 0 134 sub(R,sub(mlt(R,P),P)) 174122 165321026 o2(x,o2(o2(x,x),x)) true 101383 101383 0.06247 0.5325 0.9131 0.8796 0.9379 -1 1 2 1 2.258 0.002849 0.002743 0.0241 0.019 1 0.00009762 0.00224 0.01176 0.005011 0.07079 2.937 0.8128 0.006358 0.002547 1 1 0.01151 0.1033 0.3511 0.01308 0.1174 0.3991 json
t20_x72_u0_b135 20 72 0 135 sub(R,sub(div(R,P),P)) 174123 165321027 o2(x,o2(o2(x,x),x)) true 101391 101391 -0.11 0.4434 0.9894 0.9735 0.9867 -1 1 2 1 1.221 0.01944 0.0002395 0.01361 0.9757 1 -1.502e-11 0.03832 0.02217 0.0195 0.1396 10.26 2 0.02022 0.03936 1 1 0.02557 0.1041 0.3708 0.02626 0.107 0.3809 json
t20_x72_u0_b136 20 72 0 136 sub(R,sub(pow(R,P),P)) 174124 165321028 o2(x,o2(o2(x,x),x)) true 101399 101399 -0.9732 0.01305 0.9937 0.04409 0.21 -1 1 2 1 0.2273 0.006619 0.004126 0.00805 0.232 1 0 0.02162 0.0119 0.01068 0.1033 12.84 2.828 0.2437 0.4904 1 1 0.008265 0.03542 0.06981 0.1875 0.8032 1.583 json
t20_x72_u0_b137 20 72 0 137 sub(R,sub(mod(R,P),P)) 174125 165321029 o2(x,o2(o2(x,x),x)) true 101407 101407 -0.125 0.4375 1 0.9844 0.9922 -1 1 2 1 0.9887 0.01587 0 0.007937 1 1 0 0.03175 0.01587 0.01581 0.1257 15.84 2 0.01612 0.03225 1 1 0.02105 0.08421 0.3368 0.02139 0.08555 0.3422 json
t20_x72_u0_b138 20 72 0 138 sub(R,sub(lrg(R,P),P)) 174126 165321030 o2(x,o2(o2(x,x),x)) true 101415 101415 -0.04149 0.4747 0.9628 0.9463 0.9728 -1 1 2 1 1.685 0.001238 0.0001026 0.0087 0.8469 1 -0.00001503 0.0002536 0.00311 0.001265 0.03557 4.088 0.312 0.001416 0.0002679 1 1 0.003178 0.03606 0.2693 0.003359 0.0381 0.2846 json
t20_x72_u0_b139 20 72 0 139 sub(R,sub(eql(R,P),P)) 174127 165321031 o2(x,o2(o2(x,x),x)) true 101423 101423 0.003757 0.4974 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_x72_u0_b140 20 72 0 140 sub(R,sub(min(R,P),P)) 174128 165321032 o2(x,o2(o2(x,x),x)) true 101431 101431 0.5036 0.7759 0.6706 0.3236 0.5688 -0.9989 1 1.999 1 3.628 0.00143 0.00164 0.03331 -0.06845 1 0.00002708 0.0001727 0.007555 0.00196 0.04427 1.329 0.2301 0.009488 0.0005337 1 1 0.006099 0.0777 0.2397 0.01885 0.2402 0.7408 json
t20_x72_u0_b141 20 72 0 141 sub(R,sub(dot(R,P),P)) 174129 165321033 o2(x,o2(o2(x,x),x)) true 101439 101439 0.06189 0.5327 0.9133 0.8792 0.9377 -1 1 2 1 2.312 0.01199 0.01722 0.05681 -0.1788 1 0.0000688 0.02191 0.04015 0.02598 0.1612 2.837 1.814 0.03323 0.02492 1 1 0.04141 0.3291 0.7426 0.04709 0.3743 0.8446 json
t20_x72_u0_b142 20 72 0 142 sub(R,sub(dst(R,P),P)) 174130 165321034 o2(x,o2(o2(x,x),x)) true 101447 101447 -0.8257 0.08374 0.9231 0.2161 0.4649 -1 1 2 1 1.395 0.002055 0.002016 0.02121 0.009646 1 -0.00001079 0.0008093 0.0074 0.003619 0.06016 2.836 0.4036 0.01884 0.003745 1 1 0.009445 0.1049 0.3169 0.0437 0.4855 1.466 json
t20_x72_u0_b143 20 72 0 143 sub(R,mlt(add(R,P),P)) 174131 165321035 o2(x,o2(o2(x,x),x)) true 101455 101455 -0.9193 0.03607 0.9459 0.08105 0.2847 -1 0.8289 1.829 1 0.9858 0.001408 0.000603 0.01179 0.4004 1 -0.000003895 0.0004772 0.004097 0.001871 0.04326 3.669 0.5581 0.02482 0.005888 1 1 0.004596 0.05171 0.1734 0.0567 0.6381 2.14 json
t20_x72_u0_b144 20 72 0 144 sub(R,mlt(sub(R,P),P)) 174132 165321036 o2(x,o2(o2(x,x),x)) true 101463 101463 0.9195 0.9648 0.9482 0.08365 0.2892 -0.9939 1 1.994 1 0.9697 0.001362 0.0005243 0.01183 0.4441 1 -0.00003444 0.0003431 0.003819 0.001746 0.04178 3.532 0.4246 0.02255 0.004102 1 1 0.004188 0.0479 0.15 0.05007 0.5727 1.793 json
t20_x72_u0_b145 20 72 0 145 sub(R,mlt(mlt(R,P),P)) 174133 165321037 o2(x,o2(o2(x,x),x)) true 101471 101471 0.0176 0.5098 0.8073 0.766 0.8752 -1 1 2 1 2.888 0.04527 0.05593 0.09712 -0.1053 1 -0.0001081 0.1916 0.1159 0.09176 0.3029 3.119 2.828 0.1321 0.2501 1 1 0.1037 0.6068 1.312 0.1353 0.7922 1.713 json
t20_x72_u0_b146 20 72 0 146 sub(R,mlt(div(R,P),P)) 174134 165321038 o2(x,o2(o2(x,x),x)) true 101479 101479 -0.125 0 0.125 0.1094 0.3307 -1 8.939e-8 1 1 0.8596 0.007937 5.932e-18 0.007937 1 1 -2.077e-12 0.01587 0.01587 0.007872 0.08872 11.18 1 0.07256 0.1451 1 1 0.01053 0.04211 0.1684 0.09624 0.385 1.54 json
t20_x72_u0_b147 20 72 0 147 sub(R,mlt(pow(R,P),P)) 174135 165321039 o2(x,o2(o2(x,x),x)) true 101487 101487 -0.8867 0.05301 0.9802 0.189 0.4348 -1 1 2 1 0.5829 0.01775 0.01743 0.02181 0.008959 1 -0.000001451 0.07257 0.03976 0.03471 0.1863 8.544 2.828 0.1861 0.384 1 1 0.03508 0.1539 0.4412 0.1856 0.814 2.334 json
t20_x72_u0_b148 20 72 0 148 sub(R,mlt(mod(R,P),P)) 174136 165321040 o2(x,o2(o2(x,x),x)) true 101495 101495 -0.06345 0.4783 0.7994 0.7379 0.859 -1 1 2 1 3.244 0.02787 0.01949 0.09108 0.1769 1 0.00004938 0.04504 0.06489 0.03907 0.1977 2.17 2.017 0.06418 0.06104 1 1 0.0637 0.4658 1.155 0.08632 0.6312 1.565 json
t20_x72_u0_b149 20 72 0 149 sub(R,mlt(lrg(R,P),P)) 174137 165321041 o2(x,o2(o2(x,x),x)) true 101503 101503 0.4529 0.7191 0.6665 0.3631 0.6026 -0.9986 1 1.999 1 3.689 0.002143 0.001663 0.03784 0.126 1 -0.000018 0.0003148 0.009259 0.002374 0.04873 1.288 0.3332 0.01048 0.0008669 1 1 0.007792 0.09852 0.2953 0.02146 0.2713 0.8133 json
t20_x72_u0_b150 20 72 0 150 sub(R,mlt(eql(R,P),P)) 174138 165321042 o2(x,o2(o2(x,x),x)) true 101511 101511 0.008979 0.4983 0.3946 0.2196 0.4686 -0.9989 0.9806 1.979 1 4.862 0.002813 0.00317 0.0632 -0.05957 1 0.00002651 0.0003508 0.01449 0.001989 0.0446 0.7057 0.2301 0.02725 0.001598 1 1 0.01182 0.1519 0.3914 0.05384 0.6917 1.782 json
t20_x72_u0_b151 20 72 0 151 sub(R,mlt(min(R,P),P)) 174139 165321043 o2(x,o2(o2(x,x),x)) true 101519 101519 -0.4321 0.284 0.7841 0.541 0.7355 -1 1 2 1 3.025 0.007246 0.007363 0.04778 -0.007995 1 -6.511e-7 0.006929 0.02232 0.01232 0.111 2.323 1.296 0.027 0.01281 1 1 0.01881 0.1867 0.5588 0.03476 0.3451 1.033 json
t20_x72_u0_b152 20 72 0 152 sub(R,mlt(dot(R,P),P)) 174140 165321044 o2(x,o2(o2(x,x),x)) true 101527 101527 -0.08982 0.45 0.9041 0.864 0.9295 -1 1 2 1 2.355 0.05253 0.06992 0.106 -0.142 1 0.00002958 0.2333 0.1386 0.1112 0.3334 3.144 2.828 0.1417 0.27 1 1 0.1213 0.6873 1.473 0.1404 0.7955 1.705 json
t20_x72_u0_b153 20 72 0 153 sub(R,mlt(dst(R,P),P)) 174141 165321045 o2(x,o2(o2(x,x),x)) true 101535 101535 0.0006305 0.4986 0.973 0.9627 0.9812 -1 1 2 1 1.503 0.002269 0.0002192 0.009389 0.8238 1 -0.00000291 0.0009934 0.00553 0.002402 0.04901 5.22 0.7104 0.002585 0.001032 1 1 0.005719 0.05286 0.3045 0.00594 0.0549 0.3162 json
t20_x72_u0_b154 20 72 0 154 sub(R,div(add(R,P),P)) 174142 165321046 o2(x,o2(o2(x,x),x)) true 101543 101543 -0.8237 0.02695 0.8333 0.08672 0.2945 -1 0.7956 1.796 1 2.474 0.004452 0.001734 0.03076 0.4393 1 0.00008939 0.007024 0.01515 0.00524 0.07239 2.353 1.796 0.07133 0.081 1 1 0.009012 0.06911 0.1547 0.1039 0.7969 1.784 json
t20_x72_u0_b155 20 72 0 155 sub(R,div(sub(R,P),P)) 174143 165321047 o2(x,o2(o2(x,x),x)) true 101551 101551 0.5799 0.8496 0.8368 0.4302 0.6559 -1 1 2 1 2.97 0.02955 0.001486 0.04077 0.9042 1 -0.00003407 0.05761 0.03978 0.02938 0.1714 4.205 2.023 0.07213 0.1339 1 1 0.04234 0.1951 0.6686 0.09841 0.4534 1.554 json
t20_x72_u0_b156 20 72 0 156 sub(R,div(mlt(R,P),P)) 174144 165321048 o2(x,o2(o2(x,x),x)) true 101559 101559 -0.125 0 0.125 0.1094 0.3307 -1 9.716e-8 1 1 0.8712 0.007937 5.729e-18 0.007937 1 1 -1.281e-11 0.01587 0.01587 0.007872 0.08872 11.18 1 0.07256 0.1451 1 1 0.01053 0.04211 0.1684 0.09624 0.385 1.54 json
t20_x72_u0_b157 20 72 0 157 sub(R,div(div(R,P),P)) 174145 165321049 o2(x,o2(o2(x,x),x)) true 101567 101567 -0.1289 0.414 0.4192 0.2597 0.5096 -1 0.9606 1.961 1 4.662 0.009755 0.002171 0.05514 0.636 1 0.00006323 0.01611 0.0267 0.008887 0.09427 1.71 1 0.04592 0.06204 1 1 0.01773 0.1334 0.4077 0.06826 0.5137 1.57 json
t20_x72_u0_b158 20 72 0 158 sub(R,div(pow(R,P),P)) 174146 165321050 o2(x,o2(o2(x,x),x)) true 101575 101575 -0.9313 0.03516 0.9984 0.1302 0.3609 -1 1 2 1 0.2493 0.01433 0.01165 0.01326 0.1031 1 0.000002467 0.05434 0.02651 0.02578 0.1606 12.11 2.828 0.1995 0.4172 1 1 0.02366 0.09712 0.2423 0.1816 0.7456 1.86 json
t20_x72_u0_b159 20 72 0 159 sub(R,div(mod(R,P),P)) 174147 165321051 o2(x,o2(o2(x,x),x)) true 101583 101583 -0.1201 0.4218 0.4632 0.3159 0.5621 -1 1 2 1 4.644 0.01431 0.003158 0.06018 0.6384 1 0.00006321 0.02443 0.02987 0.01384 0.1177 1.955 2.017 0.05529 0.07734 1 1 0.02543 0.1874 0.5306 0.0805 0.5934 1.68 json
t20_x72_u0_b160 20 72 0 160 sub(R,div(lrg(R,P),P)) 174148 165321052 o2(x,o2(o2(x,x),x)) true 101591 101591 0.003975 0.5271 0.4986 0.3571 0.5976 -1 1 2 1 4.77 0.02358 0.002676 0.06536 0.7962 1 0.00004202 0.04293 0.03737 0.02199 0.1483 2.269 2.006 0.07353 0.1202 1 1 0.03661 0.2205 0.5948 0.1025 0.6175 1.666 json
t20_x72_u0_b161 20 72 0 161 sub(R,div(eql(R,P),P)) 174149 165321053 o2(x,o2(o2(x,x),x)) true 101599 101599 0.008979 0.4983 0.3946 0.2196 0.4686 -0.9989 0.9806 1.979 1 4.862 0.002813 0.00317 0.0632 -0.05957 1 0.00002651 0.0003508 0.01449 0.001989 0.0446 0.7057 0.2301 0.02725 0.001598 1 1 0.01182 0.1519 0.3914 0.05384 0.6917 1.782 json
t20_x72_u0_b162 20 72 0 162 sub(R,div(min(R,P),P)) 174150 165321054 o2(x,o2(o2(x,x),x)) true 101607 101607 -0.4803 0.1886 0.5838 0.2449 0.4949 -1 0.8406 1.841 1 3.933 0.005923 0.001477 0.03884 0.6009 1 0.00006197 0.009902 0.02001 0.005891 0.07675 1.976 1 0.03022 0.04043 1 1 0.01067 0.07543 0.2215 0.04358 0.308 0.9047 json
t20_x72_u0_b163 20 72 0 163 sub(R,div(dot(R,P),P)) 174151 165321055 o2(x,o2(o2(x,x),x)) true 101615 101615 -0.1587 0.4138 0.4505 0.3193 0.5651 -1 1 2 1 4.332 0.01037 0.004893 0.05543 0.3589 1 0.00001035 0.016 0.02467 0.01219 0.1104 1.992 2.596 0.0478 0.0501 1 1 0.0215 0.1753 0.5152 0.06732 0.5489 1.613 json
t20_x72_u0_b164 20 72 0 164 sub(R,div(dst(R,P),P)) 174152 165321056 o2(x,o2(o2(x,x),x)) true 101623 101623 -0.1084 0.4394 0.915 0.8697 0.9326 -1 1 2 1 2.385 0.01671 0.0008393 0.02405 0.9044 1 0.00002661 0.0322 0.02367 0.01697 0.1303 5.417 2.011 0.02018 0.03703 1 1 0.02462 0.1185 0.4172 0.02831 0.1362 0.4797 json
t20_x72_u0_b165 20 72 0 165 sub(R,pow(add(R,P),P)) 174153 165321057 o2(x,o2(o2(x,x),x)) true 101631 101631 -0.9939 0 0.9939 0.002561 0.0506 -1 -0.1709 0.8291 1 0.1924 0.0004657 0.00003242 0.001916 0.8698 1 1.126e-11 0.0008827 0.001928 0.0004945 0.02224 11.61 0.8291 0.1945 0.3447 1 1 0.0008241 0.004092 0.007512 0.3219 1.598 2.934 json
t20_x72_u0_b166 20 72 0 166 sub(R,pow(sub(R,P),P)) 174154 165321058 o2(x,o2(o2(x,x),x)) true 101639 101639 -0.5757 0.2163 0.7435 0.3375 0.5809 -1 0.9665 1.967 1 3.064 0.001911 0.002045 0.03106 -0.03395 1 0.00004603 0.00162 0.009904 0.002991 0.05469 1.761 0.9895 0.01172 0.004799 1 1 0.007491 0.08406 0.2459 0.0222 0.2491 0.7286 json
t20_x72_u0_b167 20 72 0 167 sub(R,pow(mlt(R,P),P)) 174155 165321059 o2(x,o2(o2(x,x),x)) true 101647 101647 -0.9902 0 0.9902 0.007311 0.0855 -1 -0.00009639 0.9999 1 0.192 0.001542 0.0006518 0.003746 0.4057 1 -1.276e-10 0.004376 0.00553 0.00218 0.04669 12.46 1.414 0.3001 0.5986 1 1 0.002291 0.009194 0.01397 0.3134 1.258 1.911 json
t20_x72_u0_b168 20 72 0 168 sub(R,pow(div(R,P),P)) 174156 165321060 o2(x,o2(o2(x,x),x)) true 101655 101655 -0.9846 0.003906 0.9893 0.01722 0.1312 -1 0.9276 1.928 1 0.196 0.002002 0.00173 0.004611 0.07264 1 0.000002697 0.007553 0.007112 0.003709 0.0609 13.21 1.91 0.2167 0.4386 1 1 0.002255 0.009061 0.02219 0.1309 0.5262 1.288 json
t20_x72_u0_b169 20 72 0 169 sub(R,pow(pow(R,P),P)) 174157 165321061 o2(x,o2(o2(x,x),x)) true 101663 101663 -0.9309 0.03516 0.9615 0.08455 0.2908 -1 0.9193 1.919 1 0.6172 0.009014 0.008136 0.01597 0.05115 1 0.000008398 0.0353 0.02665 0.01689 0.13 8.138 2.063 0.2028 0.4176 1 1 0.01481 0.06227 0.1501 0.1752 0.7365 1.776 json
t20_x72_u0_b170 20 72 0 170 sub(R,pow(mod(R,P),P)) 174158 165321062 o2(x,o2(o2(x,x),x)) true 101671 101671 -0.982 0.003906 0.9855 0.01675 0.1294 -1 0.6499 1.65 1 0.2671 0.002048 0.001756 0.005522 0.07678 1 8.589e-7 0.007634 0.008191 0.003773 0.06142 11.12 1.642 0.2271 0.4558 1 1 0.002654 0.01157 0.02388 0.1585 0.6908 1.426 json
t20_x72_u0_b171 20 72 0 171 sub(R,pow(lrg(R,P),P)) 174159 165321063 o2(x,o2(o2(x,x),x)) true 101679 101679 -0.4239 0.2153 0.5938 0.2826 0.5316 -1 0.9806 1.981 1 4.3 0.002585 0.002339 0.04962 0.04989 1 0.00004932 0.0006236 0.01401 0.002462 0.04962 0.9999 0.312 0.01742 0.002206 1 1 0.009681 0.1139 0.305 0.03426 0.4032 1.079 json
t20_x72_u0_b172 20 72 0 172 sub(R,pow(eql(R,P),P)) 174160 165321064 o2(x,o2(o2(x,x),x)) true 101687 101687 -0.5327 0.2153 0.7027 0.3345 0.5784 -1 0.9806 1.981 1 3.318 0.00235 0.001445 0.03358 0.2383 1 0.000004225 0.001133 0.009449 0.002669 0.05166 1.539 0.8294 0.01135 0.003388 1 1 0.007298 0.08688 0.2666 0.02182 0.2597 0.7969 json
t20_x72_u0_b173 20 72 0 173 sub(R,pow(min(R,P),P)) 174161 165321065 o2(x,o2(o2(x,x),x)) true 101695 101695 -0.9855 0.003906 0.9889 0.01512 0.123 -1 0.6499 1.65 1 0.1834 0.001943 0.001511 0.004249 0.1252 1 8.588e-7 0.006994 0.006593 0.003434 0.0586 13.79 1.642 0.2285 0.4626 1 1 0.002099 0.008723 0.02029 0.1389 0.577 1.342 json
t20_x72_u0_b174 20 72 0 174 sub(R,pow(dot(R,P),P)) 174162 165321066 o2(x,o2(o2(x,x),x)) true 101703 101703 -0.9902 0.002045 0.9914 0.007253 0.08517 -1 0.5026 1.503 1 0.217 0.0006366 0.0004915 0.00341 0.1286 1 -5.632e-11 0.00184 0.003724 0.001117 0.03341 9.798 1.273 0.1555 0.2537 1 1 0.001897 0.0127 0.02114 0.2615 1.751 2.915 json
t20_x72_u0_b175 20 72 0 175 sub(R,pow(dst(R,P),P)) 174163 165321067 o2(x,o2(o2(x,x),x)) true 101711 101711 -0.5267 0.2335 0.7105 0.3461 0.5883 -1 0.9678 1.968 1 3.375 0.001696 0.001788 0.03317 -0.02638 1 0.00003739 0.000407 0.008716 0.002384 0.04883 1.472 0.3615 0.01007 0.001176 1 1 0.007159 0.0849 0.237 0.02068 0.2453 0.6847 json
t20_x72_u0_b176 20 72 0 176 sub(R,mod(add(R,P),P)) 174164 165321068 o2(x,o2(o2(x,x),x)) true 101719 101719 -0.1549 0.3996 0.7658 0.7094 0.8423 -1 1 2 1 2.819 0.01694 0.005499 0.0504 0.5099 1 0.00005999 0.03079 0.04466 0.01991 0.1411 2.799 2 0.03163 0.04341 1 1 0.03139 0.1832 0.4406 0.04425 0.2583 0.621 json
t20_x72_u0_b177 20 72 0 177 sub(R,mod(sub(R,P),P)) 174165 165321069 o2(x,o2(o2(x,x),x)) true 101727 101727 -0.1389 0.4024 0.7153 0.6609 0.8129 -1 1 2 1 2.983 0.0178 0.005879 0.05397 0.5035 1 -0.000007017 0.03204 0.04639 0.02078 0.1441 2.671 2 0.03584 0.04848 1 1 0.03267 0.1934 0.4931 0.04944 0.2926 0.7462 json
t20_x72_u0_b178 20 72 0 178 sub(R,mod(mlt(R,P),P)) 174166 165321070 o2(x,o2(o2(x,x),x)) true 101735 101735 -0.06345 0.4783 0.7994 0.7379 0.859 -1 1 2 1 3.244 0.02787 0.01949 0.09108 0.1769 1 0.00004938 0.04504 0.06489 0.03907 0.1977 2.17 2.017 0.06418 0.06104 1 1 0.0637 0.4658 1.155 0.08632 0.6312 1.565 json
t20_x72_u0_b179 20 72 0 179 sub(R,mod(div(R,P),P)) 174167 165321071 o2(x,o2(o2(x,x),x)) true 101743 101743 -0.1201 0.4218 0.4632 0.3159 0.5621 -1 1 2 1 4.644 0.01431 0.003158 0.06018 0.6384 1 0.00006321 0.02443 0.02987 0.01384 0.1177 1.955 2.017 0.05529 0.07734 1 1 0.02543 0.1874 0.5306 0.0805 0.5934 1.68 json
t20_x72_u0_b180 20 72 0 180 sub(R,mod(pow(R,P),P)) 174168 165321072 o2(x,o2(o2(x,x),x)) true 101751 101751 -0.9852 0.00769 0.9916 0.01807 0.1344 -1 0.7843 1.784 1 0.1783 0.001977 0.001342 0.003677 0.1916 1 0.000001209 0.006727 0.005871 0.003307 0.0575 15.64 2.001 0.1837 0.3723 1 1 0.003162 0.01402 0.0423 0.175 0.776 2.341 json
t20_x72_u0_b181 20 72 0 181 sub(R,mod(mod(R,P),P)) 174169 165321073 o2(x,o2(o2(x,x),x)) true 101759 101759 -0.125 0 0.125 0.1094 0.3307 -1 0 1 1 0.5436 0.007937 0 0.007937 1 1 0 0.01587 0.01587 0.007872 0.08872 11.18 1 0.07256 0.1451 1 1 0.01053 0.04211 0.1684 0.09624 0.385 1.54 json
t20_x72_u0_b182 20 72 0 182 sub(R,mod(lrg(R,P),P)) 174170 165321074 o2(x,o2(o2(x,x),x)) true 101767 101767 -0.4537 0.2145 0.6216 0.2967 0.5447 -1 0.9806 1.981 1 4.106 0.01578 0.002168 0.05472 0.7584 1 0.00005002 0.02777 0.03151 0.01495 0.1223 2.235 1.943 0.06049 0.09358 1 1 0.0245 0.1519 0.3563 0.08255 0.5118 1.201 json
t20_x72_u0_b183 20 72 0 183 sub(R,mod(eql(R,P),P)) 174171 165321075 o2(x,o2(o2(x,x),x)) true 101775 101775 -0.12 0.4324 0.4674 0.3015 0.5491 -1 0.9806 1.981 1 4.761 0.01585 0.002792 0.06406 0.7005 1 0.00004824 0.0275 0.03166 0.01454 0.1206 1.882 1.943 0.06184 0.09123 1 1 0.02584 0.1831 0.5035 0.0857 0.6074 1.67 json
t20_x72_u0_b184 20 72 0 184 sub(R,mod(min(R,P),P)) 174172 165321076 o2(x,o2(o2(x,x),x)) true 101783 101783 0.1188 0.3446 0.4458 0.3953 0.6288 -1 1 2 1 2.779 0.01505 0.0008244 0.03327 0.8961 1 -0.0005836 0.02256 0.02903 0.01476 0.1215 3.652 1.898 0.04016 0.05707 1 1 0.02468 0.1594 0.4409 0.06243 0.4032 1.115 json
t20_x72_u0_b185 20 72 0 185 sub(R,mod(dot(R,P),P)) 174173 165321077 o2(x,o2(o2(x,x),x)) true 101791 101791 -0.03916 0.483 0.7906 0.722 0.8497 -1 1 2 1 3.408 0.02504 0.01784 0.09267 0.1678 1 0.000049 0.03851 0.05948 0.03428 0.1851 1.998 2.003 0.05938 0.05333 1 1 0.05513 0.4296 1.134 0.07636 0.595 1.571 json
t20_x72_u0_b186 20 72 0 186 sub(R,mod(dst(R,P),P)) 174174 165321078 o2(x,o2(o2(x,x),x)) true 101799 101799 -0.8293 0.04115 0.8535 0.1191 0.3451 -1 0.8555 1.855 1 1.979 0.009435 0.002547 0.03377 0.5749 1 0.00007328 0.01646 0.02552 0.01084 0.1041 3.084 1.853 0.1006 0.1382 1 1 0.01694 0.1135 0.237 0.1422 0.953 1.991 json
t20_x72_u0_b187 20 72 0 187 sub(R,lrg(add(R,P),P)) 174175 165321079 o2(x,o2(o2(x,x),x)) true 101807 101807 -0.4734 0 0.4734 0.05091 0.2256 -0.9989 -0.002975 0.9959 1 3.815 0.0007236 0.0006853 0.03089 0.02719 1 0.00004432 0.00008334 0.007111 0.0004549 0.02133 0.6905 0.1132 0.02767 0.001637 1 1 0.002542 0.03267 0.08567 0.04993 0.6416 1.683 json
t20_x72_u0_b188 20 72 0 188 sub(R,lrg(sub(R,P),P)) 174176 165321080 o2(x,o2(o2(x,x),x)) true 101815 101815 -0.4044 0.2183 0.5766 0.2742 0.5236 -1 0.9806 1.981 1 4.4 0.00222 0.002293 0.04913 -0.01601 1 0.00004808 0.000506 0.01343 0.002099 0.04581 0.9325 0.223 0.01646 0.001845 1 1 0.008635 0.104 0.2902 0.03149 0.3794 1.058 json
t20_x72_u0_b189 20 72 0 189 sub(R,lrg(mlt(R,P),P)) 174177 165321081 o2(x,o2(o2(x,x),x)) true 101823 101823 -0.3773 0.2459 0.5711 0.2908 0.5393 -1 0.9806 1.981 1 4.437 0.002372 0.002439 0.05092 -0.01401 1 0.00004288 0.0005327 0.01383 0.002219 0.0471 0.9252 0.2534 0.01654 0.001832 1 1 0.009737 0.118 0.3367 0.03348 0.4056 1.158 json
t20_x72_u0_b190 20 72 0 190 sub(R,lrg(div(R,P),P)) 174178 165321082 o2(x,o2(o2(x,x),x)) true 101831 101831 -0.4044 0.2183 0.5766 0.2742 0.5236 -1 0.9806 1.981 1 4.4 0.00222 0.002293 0.04913 -0.01601 1 0.00004808 0.000506 0.01343 0.002099 0.04581 0.9325 0.223 0.01646 0.001845 1 1 0.008635 0.104 0.2902 0.03149 0.3794 1.058 json
t20_x72_u0_b191 20 72 0 191 sub(R,lrg(pow(R,P),P)) 174179 165321083 o2(x,o2(o2(x,x),x)) true 101839 101839 -0.6037 0.1471 0.7313 0.2667 0.5165 -1 0.9804 1.98 1 3.523 0.004463 0.004722 0.0595 -0.02824 1 0.0001076 0.00153 0.01948 0.005643 0.07512 1.262 0.3359 0.03443 0.005738 1 1 0.01766 0.1993 0.4619 0.06621 0.7472 1.732 json
t20_x72_u0_b192 20 72 0 192 sub(R,lrg(mod(R,P),P)) 174180 165321084 o2(x,o2(o2(x,x),x)) true 101847 101847 -0.4239 0.2153 0.5938 0.2826 0.5316 -1 0.9806 1.981 1 4.3 0.002585 0.002339 0.04962 0.04989 1 0.00004932 0.0006236 0.01401 0.002462 0.04962 0.9999 0.312 0.01742 0.002206 1 1 0.009681 0.1139 0.305 0.03426 0.4032 1.079 json
t20_x72_u0_b193 20 72 0 193 sub(R,lrg(lrg(R,P),P)) 174181 165321085 o2(x,o2(o2(x,x),x)) true 101855 101855 -0.4044 0.2183 0.5766 0.2742 0.5236 -1 0.9806 1.981 1 4.4 0.00222 0.002293 0.04913 -0.01601 1 0.00004808 0.000506 0.01343 0.002099 0.04581 0.9325 0.223 0.01646 0.001845 1 1 0.008635 0.104 0.2902 0.03149 0.3794 1.058 json
t20_x72_u0_b194 20 72 0 194 sub(R,lrg(eql(R,P),P)) 174182 165321086 o2(x,o2(o2(x,x),x)) true 101863 101863 -0.3773 0.2459 0.5711 0.2908 0.5393 -1 0.9806 1.981 1 4.437 0.002372 0.002439 0.05092 -0.01401 1 0.00004288 0.0005327 0.01383 0.002219 0.0471 0.9252 0.2534 0.01654 0.001832 1 1 0.009737 0.118 0.3367 0.03348 0.4056 1.158 json
t20_x72_u0_b195 20 72 0 195 sub(R,lrg(min(R,P),P)) 174183 165321087 o2(x,o2(o2(x,x),x)) true 101871 101871 0.008979 0.4983 0.3946 0.2196 0.4686 -0.9989 0.9806 1.979 1 4.862 0.002813 0.00317 0.0632 -0.05957 1 0.00002651 0.0003508 0.01449 0.001989 0.0446 0.7057 0.2301 0.02725 0.001598 1 1 0.01182 0.1519 0.3914 0.05384 0.6917 1.782 json
t20_x72_u0_b196 20 72 0 196 sub(R,lrg(dot(R,P),P)) 174184 165321088 o2(x,o2(o2(x,x),x)) true 101879 101879 -0.3983 0.2258 0.5589 0.2617 0.5116 -1 0.9806 1.981 1 4.427 0.00278 0.004204 0.05891 -0.2039 1 0.00007856 0.0009074 0.01638 0.003513 0.05927 1.006 0.318 0.02669 0.003467 1 1 0.01354 0.1583 0.4013 0.05174 0.6049 1.533 json
t20_x72_u0_b197 20 72 0 197 sub(R,lrg(dst(R,P),P)) 174185 165321089 o2(x,o2(o2(x,x),x)) true 101887 101887 -0.7428 0.04681 0.7836 0.142 0.3769 -1 0.9273 1.927 1 3.012 0.002345 0.002479 0.04052 -0.0277 1 0.0001011 0.0008944 0.01416 0.003183 0.05642 1.392 0.2986 0.03397 0.006297 1 1 0.009926 0.1098 0.2878 0.06989 0.7728 2.026 json
t20_x72_u0_b198 20 72 0 198 sub(R,eql(add(R,P),P)) 174186 165321090 o2(x,o2(o2(x,x),x)) true 101895 101895 0.008979 0.4983 0.3946 0.2196 0.4686 -0.9989 0.9806 1.979 1 4.862 0.002813 0.00317 0.0632 -0.05957 1 0.00002651 0.0003508 0.01449 0.001989 0.0446 0.7057 0.2301 0.02725 0.001598 1 1 0.01182 0.1519 0.3914 0.05384 0.6917 1.782 json
t20_x72_u0_b199 20 72 0 199 sub(R,eql(sub(R,P),P)) 174187 165321091 o2(x,o2(o2(x,x),x)) true 101903 101903 0.008979 0.4983 0.3946 0.2196 0.4686 -0.9989 0.9806 1.979 1 4.862 0.002813 0.00317 0.0632 -0.05957 1 0.00002651 0.0003508 0.01449 0.001989 0.0446 0.7057 0.2301 0.02725 0.001598 1 1 0.01182 0.1519 0.3914 0.05384 0.6917 1.782 json
t20_x72_u0_b200 20 72 0 200 sub(R,eql(mlt(R,P),P)) 174188 165321092 o2(x,o2(o2(x,x),x)) true 101911 101911 -0.04116 0.4621 0.4134 0.2429 0.4929 -1 0.9806 1.981 1 4.887 0.003595 0.003089 0.0647 0.07576 1 0.00003624 0.0005259 0.01542 0.002498 0.04998 0.7724 0.3332 0.02751 0.002165 1 1 0.0133 0.1656 0.4074 0.05476 0.6817 1.677 json
t20_x73_u0_b0 20 73 0 0 add(R,add(add(R,P),D)) 174189 165361293 o2(x,o2(o2(x,x),x)) true 101919 101919 0.01259 0.5069 0.946 0.9267 0.9626 -1 1 2 1 1.899 0.002237 0.001447 0.01791 0.2146 1 -0.00004005 0.0008783 0.006876 0.003363 0.05799 3.238 0.4527 0.003975 0.0009478 1 1 0.008681 0.09525 0.3716 0.009368 0.1028 0.4011 json
t20_x73_u0_b1 20 73 0 1 add(R,add(sub(R,P),D)) 174190 165361294 o2(x,o2(o2(x,x),x)) true 101927 101927 0.009223 0.5072 0.939 0.9172 0.9577 -1 1 2 1 2 0.003142 0.001605 0.02127 0.3239 1 -0.0000321 0.001297 0.00911 0.004297 0.06555 3.081 0.6039 0.005176 0.001414 1 1 0.0111 0.1074 0.3615 0.0121 0.1171 0.3941 json
t20_x73_u0_b2 20 73 0 2 add(R,add(mlt(R,P),D)) 174191 165361295 o2(x,o2(o2(x,x),x)) true 101935 101935 -0.06416 0.4695 0.7295 0.6464 0.804 -1 1 2 1 3.782 0.01795 0.01982 0.09817 -0.04967 1 -0.0000457 0.02091 0.05202 0.02813 0.1677 1.709 1.662 0.05842 0.03235 1 1 0.05468 0.4774 1.033 0.08459 0.7385 1.598 json
t20_x73_u0_b3 20 73 0 3 add(R,add(div(R,P),D)) 174192 165361296 o2(x,o2(o2(x,x),x)) true 101943 101943 -0.1251 0.4174 0.4665 0.3135 0.5599 -1 1 2 1 4.689 0.01735 0.002949 0.07315 0.7095 1 0.00003441 0.02759 0.03606 0.01495 0.1223 1.672 2 0.06476 0.08801 1 1 0.02984 0.2155 0.5155 0.09519 0.6873 1.645 json
t20_x73_u0_b4 20 73 0 4 add(R,add(pow(R,P),D)) 174193 165361297 o2(x,o2(o2(x,x),x)) true 101951 101951 -0.8581 0.0741 0.9935 0.2539 0.5038 -1 1 2 1 0.4985 0.02271 0.02281 0.02475 -0.002179 1 0.000006122 0.09465 0.0477 0.04493 0.212 8.564 2.828 0.1793 0.3728 1 1 0.04352 0.1846 0.5889 0.1714 0.727 2.32 json
t20_x73_u0_b5 20 73 0 5 add(R,add(mod(R,P),D)) 174194 165361298 o2(x,o2(o2(x,x),x)) true 101959 101959 -0.1182 0.4324 0.6955 0.5817 0.7627 -1 1 2 1 4.146 0.0254 0.008503 0.09456 0.4984 1 0.00003719 0.03794 0.04697 0.02495 0.158 1.671 2.021 0.05828 0.06523 1 1 0.05175 0.413 0.9737 0.08896 0.7101 1.674 json
t20_x73_u0_b6 20 73 0 6 add(R,add(lrg(R,P),D)) 174195 165361299 o2(x,o2(o2(x,x),x)) true 101967 101967 0.3907 0.7216 0.6073 0.3316 0.5758 -1 1 2 1 4.287 0.003986 0.002517 0.05857 0.2259 1 0.00008278 0.0009531 0.01809 0.003073 0.05544 0.9465 0.3876 0.01961 0.002874 1 1 0.01342 0.1454 0.3458 0.04048 0.4385 1.043 json
t20_x73_u0_b7 20 73 0 7 add(R,add(eql(R,P),D)) 174196 165361300 o2(x,o2(o2(x,x),x)) true 101975 101975 0.009078 0.4986 0.4013 0.2304 0.48 -1 1 2 1 4.899 0.004471 0.003165 0.07546 0.1709 1 0.00002869 0.0006263 0.01935 0.001942 0.04407 0.584 0.2845 0.03314 0.002718 1 1 0.01508 0.1746 0.3904 0.06546 0.7577 1.694 json
t20_x73_u0_b8 20 73 0 8 add(R,add(min(R,P),D)) 174197 165361301 o2(x,o2(o2(x,x),x)) true 101983 101983 -0.4864 0.2432 0.7948 0.4906 0.7004 -1 1 2 1 3.161 0.00551 0.004806 0.05596 0.06823 1 0.00009308 0.001768 0.01733 0.007188 0.08479 1.515 0.4477 0.02103 0.003605 1 1 0.02053 0.2322 0.5923 0.04184 0.4734 1.207 json
t20_x73_u0_b9 20 73 0 9 add(R,add(dot(R,P),D)) 174198 165361302 o2(x,o2(o2(x,x),x)) true 101991 101991 -0.09371 0.4537 0.8444 0.7878 0.8876 -1 1 2 1 2.904 0.02546 0.03255 0.1028 -0.1222 1 0.00004019 0.04649 0.07516 0.04744 0.2178 2.119 1.856 0.07363 0.05901 1 1 0.07509 0.576 1.384 0.09532 0.7311 1.757 json
t20_x73_u0_b10 20 73 0 10 add(R,add(dst(R,P),D)) 174199 165361303 o2(x,o2(o2(x,x),x)) true 101999 101999 0.9981 1 0.9981 0.0008337 0.02887 0.2567 1 0.7433 1 0.06768 0.00004764 0.00004656 0.0007187 0.01151 0 9.386e-12 0.00004758 0.000474 0.00009367 0.009678 13.47 0.2629 0.113 0.05708 1 1 0.000298 0.002162 0.00304 0.3575 2.593 3.646 json