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_b12 20 72 0 12 add(R,sub(sub(R,P),P)) 174000 165320904 o2(x,o2(o2(x,x),x)) true 100407 100407 -0.001383 0.4968 0.9735 0.9632 0.9815 -1 1 2 1 1.536 0.002301 0.0007009 0.01154 0.5331 1 -0.00003167 0.0008679 0.005183 0.002869 0.05356 4.64 0.6458 0.003117 0.0009011 1 1 0.007622 0.07597 0.368 0.007913 0.07887 0.382 json
t20_x72_u0_b13 20 72 0 13 add(R,sub(mlt(R,P),P)) 174001 165320905 o2(x,o2(o2(x,x),x)) true 100415 100415 0.0568 0.5257 0.9159 0.8837 0.9401 -1 1 2 1 2.236 0.002838 0.001769 0.02251 0.2319 1 0.0001436 0.001713 0.01024 0.004098 0.06402 2.844 0.7728 0.005213 0.001938 1 1 0.01018 0.1011 0.3324 0.01152 0.1144 0.3762 json
t20_x72_u0_b14 20 72 0 14 add(R,sub(div(R,P),P)) 174002 165320906 o2(x,o2(o2(x,x),x)) true 100423 100423 -0.1079 0.4453 0.9888 0.9732 0.9865 -1 1 2 1 1.222 0.02056 0.0002547 0.01493 0.9755 1 0.000002664 0.04027 0.02365 0.0206 0.1435 9.615 2 0.02139 0.04138 1 1 0.02697 0.1088 0.3677 0.02771 0.1118 0.3778 json
t20_x72_u0_b15 20 72 0 15 add(R,sub(pow(R,P),P)) 174003 165320907 o2(x,o2(o2(x,x),x)) true 100431 100431 -0.871 0.06918 0.9886 0.2259 0.4753 -1 1 2 1 0.5074 0.01987 0.02005 0.0223 -0.004711 1 -1.464e-10 0.08303 0.04302 0.03941 0.1985 8.903 2.828 0.1767 0.3676 1 1 0.03951 0.1693 0.5396 0.1749 0.7496 2.389 json
t20_x72_u0_b16 20 72 0 16 add(R,sub(mod(R,P),P)) 174004 165320908 o2(x,o2(o2(x,x),x)) true 100439 100439 -0.1199 0.4421 0.9742 0.9504 0.9749 -1 1 2 1 1.475 0.01748 0.0006129 0.01727 0.9322 1 -0.00001058 0.03395 0.02328 0.01779 0.1334 7.724 2.023 0.01903 0.03572 1 1 0.02368 0.1023 0.3604 0.02491 0.1077 0.3792 json
t20_x72_u0_b17 20 72 0 17 add(R,sub(lrg(R,P),P)) 174005 165320909 o2(x,o2(o2(x,x),x)) true 100447 100447 0.03441 0.5061 0.9586 0.9424 0.9708 -1 1 2 1 1.682 0.001703 0.0005425 0.01124 0.5167 1 -0.00001511 0.0004543 0.004209 0.00212 0.04604 4.096 0.4362 0.002382 0.0004821 1 1 0.00586 0.06323 0.319 0.006219 0.0671 0.3385 json
t20_x72_u0_b18 20 72 0 18 add(R,sub(eql(R,P),P)) 174006 165320910 o2(x,o2(o2(x,x),x)) true 100455 100455 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_b19 20 72 0 19 add(R,sub(min(R,P),P)) 174007 165320911 o2(x,o2(o2(x,x),x)) true 100463 100463 -0.4322 0.2905 0.6711 0.3861 0.6214 -1 0.9693 1.969 1 3.688 0.002712 0.002509 0.04214 0.03892 1 0.00002927 0.0006907 0.0114 0.003444 0.05869 1.393 0.4356 0.01352 0.001789 1 1 0.01132 0.1323 0.3393 0.02932 0.3426 0.8789 json
t20_x72_u0_b20 20 72 0 20 add(R,sub(dot(R,P),P)) 174008 165320912 o2(x,o2(o2(x,x),x)) true 100471 100471 0.01322 0.5076 0.9062 0.8756 0.9357 -1 1 2 1 2.344 0.01382 0.01501 0.05729 -0.04112 1 -0.000002367 0.02114 0.04037 0.02556 0.1599 2.79 1.606 0.03293 0.02414 1 1 0.04253 0.338 0.8219 0.04857 0.386 0.9387 json
t20_x72_u0_b21 20 72 0 21 add(R,sub(dst(R,P),P)) 174009 165320913 o2(x,o2(o2(x,x),x)) true 100479 100479 0.9003 1 0.9003 0.06365 0.2523 0.008068 1 0.9919 1 1.228 0.0001125 0.0002294 0.005331 -0.3418 1 -0.000007683 0.00007467 0.001767 0.0003136 0.01771 3.322 0.2508 0.005371 0.001173 1 1 0.0009534 0.01021 0.05528 0.01498 0.1604 0.8685 json
t20_x72_u0_b22 20 72 0 22 add(R,mlt(add(R,P),P)) 174010 165320914 o2(x,o2(o2(x,x),x)) true 100487 100487 0.9246 0.9675 0.9516 0.07865 0.2804 -0.9524 1 1.952 1 0.9216 0.001484 0.0004502 0.01144 0.5346 1 -0.00003639 0.0004109 0.003901 0.001803 0.04246 3.711 0.4511 0.0246 0.005225 1 1 0.004497 0.04993 0.1369 0.05718 0.6349 1.74 json
t20_x72_u0_b23 20 72 0 23 add(R,mlt(sub(R,P),P)) 174011 165320915 o2(x,o2(o2(x,x),x)) true 100495 100495 -0.9124 0.03946 0.9426 0.08959 0.2993 -1 0.8864 1.886 1 1.02 0.001668 0.0006449 0.0129 0.4423 1 -0.000004281 0.0005741 0.004631 0.002147 0.04634 3.593 0.5457 0.02582 0.006409 1 1 0.005515 0.05905 0.17 0.06156 0.6591 1.898 json
t20_x72_u0_b24 20 72 0 24 add(R,mlt(mlt(R,P),P)) 174012 165320916 o2(x,o2(o2(x,x),x)) true 100503 100503 -0.001209 0.4978 0.8905 0.8537 0.9239 -1 1 2 1 2.511 0.04957 0.06106 0.1058 -0.1039 1 0.00009144 0.2051 0.1257 0.09947 0.3154 2.982 2.828 0.1296 0.2402 1 1 0.1197 0.7018 1.44 0.1402 0.8221 1.687 json
t20_x72_u0_b25 20 72 0 25 add(R,mlt(div(R,P),P)) 174013 165320917 o2(x,o2(o2(x,x),x)) true 100511 100511 -0.1182 0.4325 0.6953 0.5809 0.7622 -1 1 2 1 4.144 0.0245 0.008569 0.09056 0.4817 1 0.00003845 0.03761 0.04492 0.02486 0.1577 1.741 2.017 0.05692 0.06474 1 1 0.0503 0.4057 0.9787 0.08659 0.6983 1.685 json
t20_x72_u0_b26 20 72 0 26 add(R,mlt(pow(R,P),P)) 174014 165320918 o2(x,o2(o2(x,x),x)) true 100519 100519 -0.9571 0.02 0.9857 0.06419 0.2534 -1 1 2 1 0.3885 0.006444 0.006169 0.01056 0.02181 1 -1.802e-10 0.02542 0.01606 0.0125 0.1118 10.59 2.828 0.1965 0.396 1 1 0.01063 0.05 0.1106 0.1657 0.7789 1.723 json
t20_x72_u0_b27 20 72 0 27 add(R,mlt(mod(R,P),P)) 174015 165320919 o2(x,o2(o2(x,x),x)) true 100527 100527 -0.1942 0.4093 0.7985 0.7002 0.8368 -1 1 2 1 3.26 0.02997 0.01934 0.09451 0.2155 1 -0.00003284 0.04745 0.06655 0.04039 0.201 2.126 2 0.07042 0.06776 1 1 0.06668 0.4914 1.112 0.09522 0.7017 1.588 json
t20_x72_u0_b28 20 72 0 28 add(R,mlt(lrg(R,P),P)) 174016 165320920 o2(x,o2(o2(x,x),x)) true 100535 100535 -0.467 0.2459 0.6608 0.3431 0.5858 -1 0.9806 1.981 1 3.695 0.001962 0.001682 0.03766 0.07663 1 -0.00000222 0.0003024 0.009307 0.002226 0.04718 1.253 0.2534 0.01062 0.0008815 1 1 0.007554 0.0961 0.3088 0.02202 0.2801 0.9001 json
t20_x72_u0_b29 20 72 0 29 add(R,mlt(eql(R,P),P)) 174017 165320921 o2(x,o2(o2(x,x),x)) true 100543 100543 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_b30 20 72 0 30 add(R,mlt(min(R,P),P)) 174018 165320922 o2(x,o2(o2(x,x),x)) true 100551 100551 0.4339 0.7195 0.8798 0.6499 0.8062 -1 1 2 1 2.492 0.01178 0.01221 0.05848 -0.01813 1 -0.0000138 0.01419 0.03265 0.02057 0.1434 2.452 1.636 0.03691 0.02183 1 1 0.0358 0.3173 0.7468 0.05509 0.4882 1.149 json
t20_x72_u0_b31 20 72 0 31 add(R,mlt(dot(R,P),P)) 174019 165320923 o2(x,o2(o2(x,x),x)) true 100559 100559 0.08707 0.5436 0.9184 0.883 0.9397 -1 1 2 1 2.201 0.05494 0.07329 0.1092 -0.1431 1 -0.00006151 0.2438 0.1444 0.1162 0.3409 3.122 2.828 0.1452 0.2761 1 1 0.1311 0.7339 1.471 0.1485 0.8312 1.666 json
t20_x72_u0_b32 20 72 0 32 add(R,mlt(dst(R,P),P)) 174020 165320924 o2(x,o2(o2(x,x),x)) true 100567 100567 -0.005326 0.4971 0.9771 0.9686 0.9842 -1 1 2 1 1.439 0.002175 0.0001578 0.008708 0.8647 1 -0.000002007 0.0009313 0.004877 0.002258 0.04752 5.456 0.7334 0.002409 0.0009615 1 1 0.005186 0.05056 0.3158 0.005354 0.0522 0.3261 json
t20_x72_u0_b33 20 72 0 33 add(R,div(add(R,P),P)) 174021 165320925 o2(x,o2(o2(x,x),x)) true 100575 100575 0.5817 0.8565 0.8352 0.4264 0.653 -1 1 2 1 2.948 0.03025 0.001442 0.0418 0.909 1 -0.00004557 0.05882 0.0405 0.02994 0.173 4.139 2 0.07431 0.1379 1 1 0.04298 0.2011 0.6677 0.1008 0.4715 1.566 json
t20_x72_u0_b34 20 72 0 34 add(R,div(sub(R,P),P)) 174022 165320926 o2(x,o2(o2(x,x),x)) true 100583 100583 -0.828 0.01883 0.8376 0.08205 0.2864 -1 0.8864 1.886 1 2.479 0.005608 0.001558 0.03194 0.5651 1 0.00008673 0.00893 0.01657 0.006144 0.07838 2.454 1.886 0.08734 0.1088 1 1 0.01015 0.07403 0.1539 0.1238 0.9023 1.876 json
t20_x72_u0_b35 20 72 0 35 add(R,div(mlt(R,P),P)) 174023 165320927 o2(x,o2(o2(x,x),x)) true 100591 100591 -0.1182 0.4325 0.6953 0.5809 0.7622 -1 1 2 1 4.144 0.0245 0.008569 0.09056 0.4817 1 0.00003845 0.03761 0.04492 0.02486 0.1577 1.741 2.017 0.05692 0.06474 1 1 0.0503 0.4057 0.9787 0.08659 0.6983 1.685 json
t20_x72_u0_b36 20 72 0 36 add(R,div(div(R,P),P)) 174024 165320928 o2(x,o2(o2(x,x),x)) true 100599 100599 -0.1159 0.4338 0.51 0.3533 0.5944 -1 1 2 1 4.784 0.0204 0.003726 0.07038 0.6911 1 0.00005593 0.03547 0.03462 0.01917 0.1385 1.967 2.017 0.0683 0.1004 1 1 0.03419 0.2447 0.6236 0.09678 0.6926 1.765 json
t20_x72_u0_b37 20 72 0 37 add(R,div(pow(R,P),P)) 174025 165320929 o2(x,o2(o2(x,x),x)) true 100607 100607 -0.9906 0.00499 0.9959 0.01303 0.1142 -1 0.9962 1.996 1 0.1117 0.001022 0.002161 0.003266 -0.358 1 0.00007373 0.006876 0.005217 0.003173 0.05633 17.25 1.977 0.2443 0.5276 1 1 0.002349 0.006805 0.01643 0.1803 0.5222 1.261 json
t20_x72_u0_b38 20 72 0 38 add(R,div(mod(R,P),P)) 174026 165320930 o2(x,o2(o2(x,x),x)) true 100615 100615 -0.1243 0.4247 0.4588 0.3066 0.5537 -1 1 2 1 4.676 0.01605 0.002976 0.06274 0.6871 1 0.00004563 0.02729 0.03134 0.01509 0.1228 1.958 2 0.06203 0.08901 1 1 0.02751 0.1999 0.5216 0.08971 0.652 1.701 json
t20_x72_u0_b39 20 72 0 39 add(R,div(lrg(R,P),P)) 174027 165320931 o2(x,o2(o2(x,x),x)) true 100623 100623 -0.2461 0.3465 0.4942 0.2913 0.5397 -1 0.9806 1.981 1 4.6 0.01031 0.002691 0.05877 0.5861 1 0.00005715 0.0165 0.02474 0.009552 0.09773 1.663 1.943 0.04465 0.05664 1 1 0.01885 0.1543 0.4271 0.06472 0.5297 1.466 json
t20_x72_u0_b40 20 72 0 40 add(R,div(eql(R,P),P)) 174028 165320932 o2(x,o2(o2(x,x),x)) true 100631 100631 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_b41 20 72 0 41 add(R,div(min(R,P),P)) 174029 165320933 o2(x,o2(o2(x,x),x)) true 100639 100639 0.2212 0.6377 0.6952 0.544 0.7376 -1 1 2 1 4.146 0.02596 0.002837 0.0594 0.803 1 0.000001373 0.04752 0.03884 0.02527 0.159 2.676 2.006 0.05293 0.08736 1 1 0.0405 0.2431 0.6912 0.07445 0.4469 1.271 json
t20_x72_u0_b42 20 72 0 42 add(R,div(dot(R,P),P)) 174030 165320934 o2(x,o2(o2(x,x),x)) true 100647 100647 -0.07731 0.4633 0.7291 0.6395 0.7997 -1 1 2 1 3.82 0.03125 0.01263 0.09463 0.4244 1 0.00001368 0.05258 0.05543 0.03492 0.1869 1.975 2.102 0.06861 0.08222 1 1 0.06446 0.4683 1.099 0.1008 0.7323 1.718 json
t20_x72_u0_b43 20 72 0 43 add(R,div(dst(R,P),P)) 174031 165320935 o2(x,o2(o2(x,x),x)) true 100655 100655 -0.1198 0.4375 0.951 0.9069 0.9523 -1 1 2 1 2.152 0.01612 0.000309 0.01664 0.9624 1 0.000005688 0.03192 0.01991 0.01616 0.1271 7.641 2 0.01811 0.03519 1 1 0.02178 0.09058 0.3539 0.02402 0.09988 0.3903 json
t20_x72_u0_b44 20 72 0 44 add(R,pow(add(R,P),P)) 174032 165320936 o2(x,o2(o2(x,x),x)) true 100663 100663 -0.01921 0.4965 0.9825 0.976 0.9879 -1 1 2 1 1.323 0.01204 0.0003498 0.01105 0.9435 1 -0.00003706 0.02353 0.01577 0.01226 0.1107 10.02 2 0.01269 0.0241 1 1 0.01733 0.0812 0.3153 0.01775 0.0832 0.323 json
t20_x72_u0_b45 20 72 0 45 add(R,pow(sub(R,P),P)) 174033 165320937 o2(x,o2(o2(x,x),x)) true 100671 100671 -0.3697 0.3388 0.7421 0.5346 0.7311 -1 1 2 1 3.31 0.01305 0.001324 0.0339 0.8158 1 0.0000436 0.0237 0.02039 0.01323 0.115 3.393 2.006 0.0269 0.04434 1 1 0.02089 0.1298 0.4357 0.03908 0.2428 0.8151 json
t20_x72_u0_b46 20 72 0 46 add(R,pow(mlt(R,P),P)) 174034 165320938 o2(x,o2(o2(x,x),x)) true 100679 100679 -0.8803 0.06261 0.989 0.2091 0.4573 -1 1 2 1 0.5489 0.01777 0.0163 0.02165 0.04314 1 -6.007e-11 0.06941 0.03872 0.03361 0.1833 8.47 2.828 0.1629 0.3319 1 1 0.03293 0.1524 0.4504 0.1574 0.7287 2.154 json
t20_x72_u0_b47 20 72 0 47 add(R,pow(div(R,P),P)) 174035 165320939 o2(x,o2(o2(x,x),x)) true 100687 100687 -0.8659 0.07031 0.9935 0.2403 0.4902 -1 1 2 1 0.4787 0.0215 0.02065 0.02309 0.02008 1 0.000002697 0.08768 0.0449 0.04161 0.204 8.834 2.828 0.1755 0.3649 1 1 0.04204 0.1791 0.5261 0.175 0.7453 2.19 json
t20_x72_u0_b48 20 72 0 48 add(R,pow(pow(R,P),P)) 174036 165320940 o2(x,o2(o2(x,x),x)) true 100695 100695 -0.8729 0.07422 0.9786 0.2072 0.4552 -1 1 2 1 0.6258 0.0175 0.01872 0.02285 -0.03349 1 0.000008674 0.07519 0.04217 0.03568 0.1889 8.265 2.828 0.1748 0.3628 1 1 0.0358 0.1558 0.4984 0.1728 0.7517 2.405 json
t20_x72_u0_b49 20 72 0 49 add(R,pow(mod(R,P),P)) 174037 165320941 o2(x,o2(o2(x,x),x)) true 100703 100703 -0.8583 0.07422 0.9933 0.2536 0.5035 -1 1 2 1 0.495 0.02269 0.02271 0.0246 -0.0005918 1 0.00000109 0.09443 0.04759 0.04476 0.2116 8.601 2.828 0.179 0.3724 1 1 0.04359 0.1854 0.5904 0.1719 0.7314 2.328 json
t20_x72_u0_b50 20 72 0 50 add(R,pow(lrg(R,P),P)) 174038 165320942 o2(x,o2(o2(x,x),x)) true 100711 100711 0.4275 0.7534 0.6105 0.3022 0.5498 -0.9986 1 1.999 1 4.253 0.002091 0.002187 0.04567 -0.02245 1 -0.00001858 0.0005433 0.01321 0.002192 0.04681 1.025 0.238 0.01415 0.001798 1 1 0.008383 0.1002 0.2913 0.02774 0.3314 0.9638 json
t20_x72_u0_b51 20 72 0 51 add(R,pow(eql(R,P),P)) 174039 165320943 o2(x,o2(o2(x,x),x)) true 100719 100719 -0.4802 0.2534 0.7029 0.3871 0.6222 -1 1 2 1 3.42 0.01305 0.001461 0.03793 0.7987 1 -1.08e-7 0.02336 0.02071 0.01308 0.1144 3.015 2 0.03749 0.06035 1 1 0.02163 0.1358 0.344 0.05587 0.3509 0.8887 json
t20_x72_u0_b52 20 72 0 52 add(R,pow(min(R,P),P)) 174040 165320944 o2(x,o2(o2(x,x),x)) true 100727 100727 -0.9582 0.02344 0.995 0.07432 0.2726 -1 1 2 1 0.227 0.008487 0.006253 0.008908 0.1516 1 0.00000109 0.03067 0.01667 0.01465 0.1211 13.59 2.828 0.1983 0.4127 1 1 0.01154 0.05114 0.1358 0.1552 0.688 1.827 json
t20_x72_u0_b53 20 72 0 53 add(R,pow(dot(R,P),P)) 174041 165320945 o2(x,o2(o2(x,x),x)) true 100735 100735 -0.8673 0.06923 0.9912 0.2352 0.4849 -1 1 2 1 0.5288 0.02272 0.0147 0.02176 0.2143 1 -0.000004849 0.0774 0.04061 0.03696 0.1922 8.834 2.828 0.1591 0.3291 1 1 0.04078 0.1768 0.496 0.1734 0.7516 2.109 json
t20_x72_u0_b54 20 72 0 54 add(R,pow(dst(R,P),P)) 174042 165320946 o2(x,o2(o2(x,x),x)) true 100743 100743 0.5627 0.8008 0.7134 0.3132 0.5596 -0.9757 1 1.976 1 3.333 0.001522 0.001632 0.03144 -0.03487 1 0.00002593 0.0003263 0.008012 0.002166 0.04654 1.48 0.3659 0.01007 0.001042 1 1 0.006139 0.07452 0.2275 0.0196 0.2379 0.7263 json
t20_x72_u0_b55 20 72 0 55 add(R,mod(add(R,P),P)) 174043 165320947 o2(x,o2(o2(x,x),x)) true 100751 100751 -0.09846 0.4436 0.9234 0.8807 0.9384 -1 1 2 1 2.34 0.01675 0.0014 0.02742 0.8458 1 0.00001513 0.03252 0.02944 0.0174 0.1319 4.811 2 0.02061 0.03693 1 1 0.02283 0.1095 0.3856 0.02592 0.1244 0.4378 json
t20_x72_u0_b56 20 72 0 56 add(R,mod(sub(R,P),P)) 174044 165320948 o2(x,o2(o2(x,x),x)) true 100759 100759 -0.1038 0.4451 0.9081 0.8582 0.9264 -1 1 2 1 2.53 0.01712 0.001294 0.03077 0.8595 1 0.00003199 0.03243 0.03064 0.01748 0.1322 4.297 2.007 0.02146 0.03779 1 1 0.024 0.1199 0.3947 0.02796 0.1398 0.4599 json
t20_x72_u0_b57 20 72 0 57 add(R,mod(mlt(R,P),P)) 174045 165320949 o2(x,o2(o2(x,x),x)) true 100767 100767 -0.1942 0.4093 0.7985 0.7002 0.8368 -1 1 2 1 3.26 0.02997 0.01934 0.09451 0.2155 1 -0.00003284 0.04745 0.06655 0.04039 0.201 2.126 2 0.07042 0.06776 1 1 0.06668 0.4914 1.112 0.09522 0.7017 1.588 json
t20_x72_u0_b58 20 72 0 58 add(R,mod(div(R,P),P)) 174046 165320950 o2(x,o2(o2(x,x),x)) true 100775 100775 -0.1243 0.4247 0.4588 0.3066 0.5537 -1 1 2 1 4.676 0.01605 0.002976 0.06274 0.6871 1 0.00004563 0.02729 0.03134 0.01509 0.1228 1.958 2 0.06203 0.08901 1 1 0.02751 0.1999 0.5216 0.08971 0.652 1.701 json
t20_x72_u0_b59 20 72 0 59 add(R,mod(pow(R,P),P)) 174047 165320951 o2(x,o2(o2(x,x),x)) true 100783 100783 -0.9313 0.03516 0.9984 0.1304 0.3611 -1 1 2 1 0.2541 0.01394 0.0117 0.01336 0.0871 1 0.00000109 0.05355 0.02645 0.02544 0.1595 11.93 2.828 0.1966 0.4106 1 1 0.02302 0.09546 0.239 0.1765 0.7321 1.833 json
t20_x72_u0_b60 20 72 0 60 add(R,mod(mod(R,P),P)) 174048 165320952 o2(x,o2(o2(x,x),x)) true 100791 100791 -0.1182 0.4325 0.6953 0.5809 0.7622 -1 1 2 1 4.144 0.0245 0.008569 0.09056 0.4817 1 0.00003845 0.03761 0.04492 0.02486 0.1577 1.741 2.017 0.05692 0.06474 1 1 0.0503 0.4057 0.9787 0.08659 0.6983 1.685 json
t20_x72_u0_b61 20 72 0 61 add(R,mod(lrg(R,P),P)) 174049 165320953 o2(x,o2(o2(x,x),x)) true 100799 100799 0.2002 0.6251 0.6349 0.4815 0.6939 -1 1 2 1 4.366 0.01541 0.002012 0.05115 0.769 1 0.000002906 0.02759 0.03075 0.0148 0.1217 2.379 1.943 0.03617 0.0573 1 1 0.02356 0.1556 0.5597 0.04893 0.3232 1.162 json
t20_x72_u0_b62 20 72 0 62 add(R,mod(eql(R,P),P)) 174050 165320954 o2(x,o2(o2(x,x),x)) true 100807 100807 -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_b63 20 72 0 63 add(R,mod(min(R,P),P)) 174051 165320955 o2(x,o2(o2(x,x),x)) true 100815 100815 -0.3926 0.29 0.7268 0.485 0.6964 -1 1 2 1 3.693 0.02446 0.004924 0.07632 0.6649 1 0.0006555 0.03498 0.04452 0.02356 0.1535 2.011 2 0.06058 0.07212 1 1 0.04329 0.3325 0.7276 0.08926 0.6855 1.5 json
t20_x72_u0_b64 20 72 0 64 add(R,mod(dot(R,P),P)) 174052 165320956 o2(x,o2(o2(x,x),x)) true 100823 100823 -0.2357 0.3803 0.7759 0.6539 0.8086 -1 1 2 1 3.386 0.02829 0.01632 0.08967 0.2684 1 -0.000005298 0.04574 0.06038 0.03657 0.1912 2.133 2.001 0.06822 0.06995 1 1 0.05551 0.4097 1.065 0.08489 0.6266 1.629 json
t20_x72_u0_b65 20 72 0 65 add(R,mod(dst(R,P),P)) 174053 165320957 o2(x,o2(o2(x,x),x)) true 100831 100831 0.6181 0.847 0.8834 0.457 0.676 -1 1 2 1 2.326 0.02263 0.002242 0.03805 0.8197 1 -0.0001123 0.04315 0.0371 0.02343 0.1531 4.023 2 0.05442 0.09441 1 1 0.03477 0.1848 0.6727 0.07607 0.4043 1.472 json
t20_x72_u0_b66 20 72 0 66 add(R,lrg(add(R,P),P)) 174054 165320958 o2(x,o2(o2(x,x),x)) true 100839 100839 0.3351 0.6255 0.6444 0.4213 0.6491 -0.9989 1 1.999 1 4.004 0.006632 0.00803 0.08203 -0.0953 1 -0.000127 0.0024 0.02604 0.007932 0.08906 1.086 0.347 0.0348 0.005696 1 1 0.02829 0.3191 0.7425 0.06714 0.7573 1.762 json
t20_x72_u0_b67 20 72 0 67 add(R,lrg(sub(R,P),P)) 174055 165320959 o2(x,o2(o2(x,x),x)) true 100847 100847 0.3937 0.7233 0.6048 0.324 0.5692 -0.9986 1 1.999 1 4.299 0.002645 0.002519 0.04966 0.02444 1 -0.00002429 0.0006386 0.01415 0.002698 0.05194 1.046 0.3332 0.01594 0.001971 1 1 0.01068 0.1279 0.3464 0.03297 0.3948 1.069 json
t20_x72_u0_b68 20 72 0 68 add(R,lrg(mlt(R,P),P)) 174056 165320960 o2(x,o2(o2(x,x),x)) true 100855 100855 0.3766 0.7191 0.5901 0.3173 0.5633 -0.9986 1 1.999 1 4.383 0.002603 0.002259 0.04938 0.07094 1 -0.00001858 0.0005711 0.01381 0.002424 0.04923 0.997 0.3332 0.01532 0.0018 1 1 0.009709 0.1179 0.315 0.0306 0.3714 0.9927 json
t20_x72_u0_b69 20 72 0 69 add(R,lrg(div(R,P),P)) 174057 165320961 o2(x,o2(o2(x,x),x)) true 100863 100863 0.3937 0.7233 0.6048 0.324 0.5692 -0.9986 1 1.999 1 4.299 0.002645 0.002519 0.04966 0.02444 1 -0.00002429 0.0006386 0.01415 0.002698 0.05194 1.046 0.3332 0.01594 0.001971 1 1 0.01068 0.1279 0.3464 0.03297 0.3948 1.069 json
t20_x72_u0_b70 20 72 0 70 add(R,lrg(pow(R,P),P)) 174058 165320962 o2(x,o2(o2(x,x),x)) true 100871 100871 0.6806 1 0.6806 0.08098 0.2846 0.001084 1 0.9989 1 3.524 0.0009598 0.001102 0.02965 -0.06916 1 0.000005653 0.0003957 0.009455 0.001183 0.0344 1.16 0.223 0.02547 0.004887 1 1 0.003852 0.04209 0.1108 0.04756 0.5198 1.368 json
t20_x72_u0_b71 20 72 0 71 add(R,lrg(mod(R,P),P)) 174059 165320963 o2(x,o2(o2(x,x),x)) true 100879 100879 0.4275 0.7534 0.6105 0.3022 0.5498 -0.9986 1 1.999 1 4.253 0.002091 0.002187 0.04567 -0.02245 1 -0.00001858 0.0005433 0.01321 0.002192 0.04681 1.025 0.238 0.01415 0.001798 1 1 0.008383 0.1002 0.2913 0.02774 0.3314 0.9638 json
t20_x72_u0_b72 20 72 0 72 add(R,lrg(lrg(R,P),P)) 174060 165320964 o2(x,o2(o2(x,x),x)) true 100887 100887 0.3937 0.7233 0.6048 0.324 0.5692 -0.9986 1 1.999 1 4.299 0.002645 0.002519 0.04966 0.02444 1 -0.00002429 0.0006386 0.01415 0.002698 0.05194 1.046 0.3332 0.01594 0.001971 1 1 0.01068 0.1279 0.3464 0.03297 0.3948 1.069 json
t20_x72_u0_b73 20 72 0 73 add(R,lrg(eql(R,P),P)) 174061 165320965 o2(x,o2(o2(x,x),x)) true 100895 100895 0.3766 0.7191 0.5901 0.3173 0.5633 -0.9986 1 1.999 1 4.383 0.002603 0.002259 0.04938 0.07094 1 -0.00001858 0.0005711 0.01381 0.002424 0.04923 0.997 0.3332 0.01532 0.0018 1 1 0.009709 0.1179 0.315 0.0306 0.3714 0.9927 json
t20_x72_u0_b74 20 72 0 74 add(R,lrg(min(R,P),P)) 174062 165320966 o2(x,o2(o2(x,x),x)) true 100903 100903 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_b75 20 72 0 75 add(R,lrg(dot(R,P),P)) 174063 165320967 o2(x,o2(o2(x,x),x)) true 100911 100911 0.4077 0.7534 0.5946 0.2958 0.5439 -0.9983 1 1.998 1 4.367 0.003323 0.002791 0.05394 0.087 1 -0.00003529 0.0008508 0.01565 0.003204 0.05661 1.049 0.3332 0.02067 0.002876 1 1 0.01207 0.1424 0.396 0.0408 0.4814 1.339 json
t20_x72_u0_b76 20 72 0 76 add(R,lrg(dst(R,P),P)) 174064 165320968 o2(x,o2(o2(x,x),x)) true 100919 100919 0.7806 1 0.7806 0.07152 0.2674 0.001146 1 0.9989 1 2.966 0.001195 0.001427 0.03104 -0.08823 1 -0.00006297 0.000613 0.01165 0.001658 0.04072 1.312 0.223 0.03665 0.008571 1 1 0.004858 0.05042 0.1183 0.06792 0.7049 1.655 json
t20_x72_u0_b77 20 72 0 77 add(R,eql(add(R,P),P)) 174065 165320969 o2(x,o2(o2(x,x),x)) true 100927 100927 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_b78 20 72 0 78 add(R,eql(sub(R,P),P)) 174066 165320970 o2(x,o2(o2(x,x),x)) true 100935 100935 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_b79 20 72 0 79 add(R,eql(mlt(R,P),P)) 174067 165320971 o2(x,o2(o2(x,x),x)) true 100943 100943 0.06362 0.5381 0.4117 0.2377 0.4875 -0.9989 1 1.999 1 4.893 0.002859 0.003117 0.06218 -0.04315 1 0.00002651 0.0004132 0.01463 0.00211 0.04593 0.7386 0.2534 0.02514 0.001738 1 1 0.012 0.1511 0.4183 0.05051 0.6358 1.76 json
t20_x72_u0_b80 20 72 0 80 add(R,eql(div(R,P),P)) 174068 165320972 o2(x,o2(o2(x,x),x)) true 100951 100951 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_b81 20 72 0 81 add(R,eql(pow(R,P),P)) 174069 165320973 o2(x,o2(o2(x,x),x)) true 100959 100959 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_b82 20 72 0 82 add(R,eql(mod(R,P),P)) 174070 165320974 o2(x,o2(o2(x,x),x)) true 100967 100967 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_b83 20 72 0 83 add(R,eql(lrg(R,P),P)) 174071 165320975 o2(x,o2(o2(x,x),x)) true 100975 100975 0.04414 0.5353 0.3932 0.2155 0.4642 -0.9989 0.9806 1.979 1 4.847 0.002568 0.003025 0.06089 -0.08162 1 0.00003222 0.000329 0.01397 0.001886 0.04342 0.7132 0.2301 0.02595 0.001527 1 1 0.0108 0.1387 0.3795 0.05013 0.6435 1.761 json
t20_x72_u0_b84 20 72 0 84 add(R,eql(eql(R,P),P)) 174072 165320976 o2(x,o2(o2(x,x),x)) true 100983 100983 0.06362 0.5381 0.4117 0.2377 0.4875 -0.9989 1 1.999 1 4.893 0.002859 0.003117 0.06218 -0.04315 1 0.00002651 0.0004132 0.01463 0.00211 0.04593 0.7386 0.2534 0.02514 0.001738 1 1 0.012 0.1511 0.4183 0.05051 0.6358 1.76 json
t20_x72_u0_b85 20 72 0 85 add(R,eql(min(R,P),P)) 174073 165320977 o2(x,o2(o2(x,x),x)) true 100991 100991 0.3937 0.7233 0.6048 0.324 0.5692 -0.9986 1 1.999 1 4.299 0.002645 0.002519 0.04966 0.02444 1 -0.00002429 0.0006386 0.01415 0.002698 0.05194 1.046 0.3332 0.01594 0.001971 1 1 0.01068 0.1279 0.3464 0.03297 0.3948 1.069 json
t20_x72_u0_b86 20 72 0 86 add(R,eql(dot(R,P),P)) 174074 165320978 o2(x,o2(o2(x,x),x)) true 100999 100999 0.01162 0.4991 0.3969 0.2224 0.4716 -0.9989 1 1.999 1 4.871 0.002866 0.003216 0.06345 -0.05763 1 0.00002651 0.0003834 0.01466 0.002056 0.04535 0.7147 0.2892 0.02735 0.001724 1 1 0.01215 0.1549 0.4025 0.05463 0.6965 1.81 json
t20_x72_u0_b87 20 72 0 87 add(R,eql(dst(R,P),P)) 174075 165320979 o2(x,o2(o2(x,x),x)) true 101007 101007 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_b88 20 72 0 88 add(R,min(add(R,P),P)) 174076 165320980 o2(x,o2(o2(x,x),x)) true 101015 101015 -0.02484 0.4873 0.9467 0.9262 0.9624 -1 1 2 1 1.913 0.001697 0.0007564 0.01367 0.3833 1 -0.00003231 0.0005475 0.005205 0.002264 0.04758 3.482 0.401 0.002648 0.0005911 1 1 0.005851 0.0642 0.3094 0.006317 0.06932 0.3341 json
t20_x72_u0_b89 20 72 0 89 add(R,min(sub(R,P),P)) 174077 165320981 o2(x,o2(o2(x,x),x)) true 101023 101023 -0.9065 0.03989 0.9371 0.09332 0.3055 -1 0.8862 1.886 1 1.091 0.001668 0.001003 0.01566 0.2489 1 -1.916e-7 0.0006044 0.005961 0.002425 0.04925 3.146 0.4356 0.02862 0.006477 1 1 0.006504 0.06991 0.1865 0.0697 0.7492 1.999 json
t20_x72_u0_b90 20 72 0 90 add(R,min(mlt(R,P),P)) 174078 165320982 o2(x,o2(o2(x,x),x)) true 101031 101031 -0.4874 0.2462 0.8728 0.5917 0.7692 -1 1 2 1 2.506 0.01156 0.01224 0.05843 -0.02856 1 7.696e-7 0.01414 0.03258 0.0204 0.1428 2.444 1.636 0.04024 0.0239 1 1 0.03553 0.3149 0.7706 0.06005 0.5322 1.302 json
t20_x72_u0_b91 20 72 0 91 add(R,min(div(R,P),P)) 174079 165320983 o2(x,o2(o2(x,x),x)) true 101039 101039 -0.5307 0.221 0.7536 0.3969 0.63 -1 1 2 1 3.215 0.01004 0.006821 0.04612 0.1911 1 0.00000886 0.02518 0.02586 0.01474 0.1214 2.633 2.828 0.04249 0.06344 1 1 0.0256 0.1809 0.4683 0.06451 0.4559 1.18 json
t20_x72_u0_b92 20 72 0 92 add(R,min(pow(R,P),P)) 174080 165320984 o2(x,o2(o2(x,x),x)) true 101047 101047 -0.02809 0.4964 0.9115 0.8759 0.9359 -1 1 2 1 2.388 0.00159 0.001277 0.01958 0.1094 1 -0.00006856 0.001091 0.009714 0.002483 0.04983 2.544 0.4395 0.003273 0.001245 1 1 0.005065 0.0533 0.2731 0.005782 0.06085 0.3117 json
t20_x72_u0_b93 20 72 0 93 add(R,min(mod(R,P),P)) 174081 165320985 o2(x,o2(o2(x,x),x)) true 101055 101055 -0.471 0.2471 0.7839 0.4897 0.6998 -1 1 2 1 3.259 0.004843 0.004702 0.05314 0.01473 1 -0.000006361 0.001553 0.01621 0.006724 0.082 1.543 0.438 0.01949 0.003171 1 1 0.01872 0.2168 0.581 0.03822 0.4428 1.186 json
t20_x72_u0_b94 20 72 0 94 add(R,min(lrg(R,P),P)) 174082 165320986 o2(x,o2(o2(x,x),x)) true 101063 101063 -0.467 0.2459 0.6608 0.3431 0.5858 -1 0.9806 1.981 1 3.695 0.001962 0.001682 0.03766 0.07663 1 -0.00000222 0.0003024 0.009307 0.002226 0.04718 1.253 0.2534 0.01062 0.0008815 1 1 0.007554 0.0961 0.3088 0.02202 0.2801 0.9001 json
t20_x72_u0_b95 20 72 0 95 add(R,min(eql(R,P),P)) 174083 165320987 o2(x,o2(o2(x,x),x)) true 101071 101071 -0.467 0.2459 0.6608 0.3431 0.5858 -1 0.9806 1.981 1 3.695 0.001962 0.001682 0.03766 0.07663 1 -0.00000222 0.0003024 0.009307 0.002226 0.04718 1.253 0.2534 0.01062 0.0008815 1 1 0.007554 0.0961 0.3088 0.02202 0.2801 0.9001 json
t20_x72_u0_b96 20 72 0 96 add(R,min(min(R,P),P)) 174084 165320988 o2(x,o2(o2(x,x),x)) true 101079 101079 -0.4858 0.2433 0.7951 0.491 0.7007 -1 1 2 1 3.163 0.005138 0.004837 0.05358 0.03013 1 -0.000006204 0.001663 0.01663 0.007102 0.08428 1.573 0.438 0.02032 0.003387 1 1 0.01984 0.2283 0.5964 0.04042 0.465 1.215 json
t20_x72_u0_b97 20 72 0 97 add(R,min(dot(R,P),P)) 174085 165320989 o2(x,o2(o2(x,x),x)) true 101087 101087 -0.515 0.2418 0.9124 0.6171 0.7856 -1 1 2 1 2.037 0.01251 0.01502 0.05411 -0.09112 1 0.00002855 0.02043 0.03656 0.0246 0.1568 2.898 1.829 0.0446 0.03311 1 1 0.0383 0.313 0.8318 0.06206 0.5072 1.348 json
t20_x72_u0_b98 20 72 0 98 add(R,min(dst(R,P),P)) 174086 165320990 o2(x,o2(o2(x,x),x)) true 101095 101095 0.00335 0.4972 0.9424 0.9204 0.9594 -1 1 2 1 1.958 0.001153 0.0003607 0.01112 0.5235 1 -0.00002042 0.0002704 0.00372 0.00139 0.03728 3.353 0.312 0.001645 0.0002938 1 1 0.003686 0.04313 0.2687 0.004005 0.04686 0.2919 json
t20_x72_u0_b99 20 72 0 99 add(R,dot(add(R,P),P)) 174087 165320991 o2(x,o2(o2(x,x),x)) true 101103 101103 0.9989 1 0.9989 0.0002258 0.01503 0.6397 1 0.3603 1 0.06156 0.00001264 0.00001786 0.0003577 -0.1713 0 -6.007e-11 0.00002363 0.0002951 0.00003037 0.005511 15.41 0.2025 0.1351 0.1046 1 1 0.00008971 0.0005041 0.0008244 0.3973 2.232 3.651 json
t20_x72_u0_b100 20 72 0 100 add(R,dot(sub(R,P),P)) 174088 165320992 o2(x,o2(o2(x,x),x)) true 101111 101111 -0.9898 0.003098 0.9924 0.01013 0.1007 -1 0.8286 1.829 1 0.1701 0.0002371 0.0001974 0.002309 0.09118 1 1.126e-11 0.000152 0.001101 0.0004294 0.02072 8.973 0.4262 0.04288 0.01501 1 1 0.001421 0.01451 0.0358 0.1402 1.432 3.533 json
t20_x72_u0_b101 20 72 0 101 add(R,dot(mlt(R,P),P)) 174089 165320993 o2(x,o2(o2(x,x),x)) true 101119 101119 0.06958 0.5365 0.9476 0.9259 0.9623 -1 1 2 1 1.82 0.07465 0.08458 0.1149 -0.06234 1 0.000007204 0.3357 0.1749 0.1461 0.3822 3.327 2.828 0.172 0.3626 1 1 0.1544 0.8044 1.743 0.1667 0.8688 1.882 json
t20_x72_u0_b102 20 72 0 102 add(R,dot(div(R,P),P)) 174090 165320994 o2(x,o2(o2(x,x),x)) true 101127 101127 -0.2813 0.3393 0.7576 0.5967 0.7724 -1 1 2 1 3.688 0.02107 0.02598 0.08825 -0.1043 1 0.00005156 0.0677 0.05948 0.03927 0.1982 2.245 2.828 0.07885 0.1135 1 1 0.06256 0.4108 1.033 0.1049 0.6886 1.731 json
t20_x72_u0_b103 20 72 0 103 add(R,dot(pow(R,P),P)) 174091 165320995 o2(x,o2(o2(x,x),x)) true 101135 101135 -0.9884 0.005463 0.9971 0.01937 0.1392 -1 1 2 1 0.09152 0.002366 0.001222 0.002715 0.3188 1 1.502e-11 0.007228 0.004374 0.003579 0.05982 22.03 2.828 0.1853 0.3733 1 1 0.006528 0.03018 0.07082 0.3371 1.558 3.657 json
t20_x72_u0_b104 20 72 0 104 add(R,dot(mod(R,P),P)) 174092 165320996 o2(x,o2(o2(x,x),x)) true 101143 101143 -0.3273 0.3363 0.9035 0.7662 0.8753 -1 1 2 1 2.249 0.03573 0.03918 0.09257 -0.04598 1 0.00005098 0.09521 0.09051 0.06633 0.2575 2.782 2.596 0.09776 0.1243 1 1 0.0921 0.5491 1.271 0.1202 0.7166 1.658 json
t20_x72_u0_b105 20 72 0 105 add(R,dot(lrg(R,P),P)) 174093 165320997 o2(x,o2(o2(x,x),x)) true 101151 101151 -0.6805 0.147 0.7984 0.2777 0.527 -1 0.9432 1.943 1 2.444 0.001145 0.001004 0.02176 0.06541 1 -0.000006084 0.0002419 0.005803 0.001675 0.04093 1.881 0.2534 0.007738 0.0008712 1 1 0.004767 0.05922 0.231 0.01717 0.2133 0.832 json
t20_x72_u0_b106 20 72 0 106 add(R,dot(eql(R,P),P)) 174094 165320998 o2(x,o2(o2(x,x),x)) true 101159 101159 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_b107 20 72 0 107 add(R,dot(min(R,P),P)) 174095 165320999 o2(x,o2(o2(x,x),x)) true 101167 101167 0.7035 0.8538 0.9411 0.4278 0.6541 -1 1 2 1 1.459 0.009237 0.01042 0.03717 -0.06013 1 -0.000001029 0.01504 0.02625 0.01828 0.1352 3.637 1.719 0.04594 0.03515 1 1 0.02565 0.2106 0.543 0.05995 0.4923 1.269 json
t20_x72_u0_b108 20 72 0 108 add(R,dot(dot(R,P),P)) 174096 165321000 o2(x,o2(o2(x,x),x)) true 101175 101175 0.07925 0.5414 0.9251 0.8937 0.9453 -1 1 2 1 2.116 0.05963 0.07495 0.1067 -0.1138 1 -0.0001072 0.2791 0.1503 0.1232 0.351 3.29 2.828 0.1506 0.3124 1 1 0.132 0.7191 1.679 0.1477 0.8046 1.878 json
t20_x72_u0_b109 20 72 0 109 add(R,dot(dst(R,P),P)) 174097 165321001 o2(x,o2(o2(x,x),x)) true 101183 101183 0.00235 0.5022 0.9825 0.9761 0.988 -1 1 2 1 1.358 0.003427 0.00351 0.01255 -0.01206 1 -0.000002413 0.006584 0.009545 0.006776 0.08232 6.559 1.695 0.007107 0.006746 1 1 0.01338 0.1064 0.5468 0.0137 0.109 0.5602 json
t20_x72_u0_b110 20 72 0 110 add(R,dst(add(R,P),P)) 174098 165321002 o2(x,o2(o2(x,x),x)) true 101191 101191 0.7698 1 0.7698 0.07179 0.2679 0.03077 1 0.9692 1 2.953 0.001474 0.001584 0.03376 -0.03597 1 -0.00007251 0.000832 0.01385 0.001919 0.0438 1.298 0.2336 0.0426 0.01159 1 1 0.00568 0.0565 0.13 0.07911 0.7869 1.81 json
t20_x72_u0_b111 20 72 0 111 add(R,dst(sub(R,P),P)) 174099 165321003 o2(x,o2(o2(x,x),x)) true 101199 101199 1 1 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