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_x73_u0_b11 20 73 0 11 add(R,sub(add(R,P),D)) 174200 165361304 o2(x,o2(o2(x,x),x)) true 102007 102007 0.01253 0.5066 0.9468 0.9273 0.963 -1 1 2 1 1.914 0.003014 0.001449 0.01909 0.3506 1 -0.00004402 0.001295 0.008536 0.0041 0.06403 3.354 0.5615 0.004813 0.001397 1 1 0.01055 0.1017 0.3742 0.01137 0.1097 0.4036 json
t20_x73_u0_b12 20 73 0 12 add(R,sub(sub(R,P),D)) 174201 165361305 o2(x,o2(o2(x,x),x)) true 102015 102015 0.009017 0.5063 0.938 0.9164 0.9573 -1 1 2 1 2.003 0.002354 0.001595 0.02018 0.192 1 -0.00002855 0.0008725 0.007446 0.003543 0.05952 2.949 0.4952 0.004309 0.000952 1 1 0.009227 0.1009 0.3572 0.01007 0.1101 0.3897 json
t20_x73_u0_b13 20 73 0 13 add(R,sub(mlt(R,P),D)) 174202 165361306 o2(x,o2(o2(x,x),x)) true 102023 102023 -0.06522 0.4713 0.7287 0.6445 0.8028 -1 1 2 1 3.779 0.01803 0.01977 0.09756 -0.04614 1 -0.00003175 0.02108 0.0519 0.02828 0.1682 1.724 1.584 0.05864 0.03271 1 1 0.05451 0.4737 1.03 0.08458 0.7349 1.598 json
t20_x73_u0_b14 20 73 0 14 add(R,sub(div(R,P),D)) 174203 165361307 o2(x,o2(o2(x,x),x)) true 102031 102031 -0.1229 0.4406 0.4652 0.3128 0.5593 -1 1 2 1 4.692 0.01739 0.002973 0.07281 0.708 1 0.00005263 0.02757 0.03556 0.01506 0.1227 1.686 2 0.0651 0.08813 1 1 0.02986 0.2142 0.521 0.09547 0.6848 1.665 json
t20_x73_u0_b15 20 73 0 15 add(R,sub(pow(R,P),D)) 174204 165361308 o2(x,o2(o2(x,x),x)) true 102039 102039 -0.8586 0.07422 0.993 0.2527 0.5027 -1 1 2 1 0.4884 0.02272 0.02262 0.02474 0.002076 1 -0.000001796 0.09429 0.04759 0.04476 0.2116 8.551 2.828 0.1794 0.3731 1 1 0.04375 0.1864 0.5913 0.1731 0.7377 2.339 json
t20_x73_u0_b16 20 73 0 16 add(R,sub(mod(R,P),D)) 174205 165361309 o2(x,o2(o2(x,x),x)) true 102047 102047 -0.1183 0.4318 0.6962 0.5828 0.7634 -1 1 2 1 4.138 0.02529 0.008543 0.09425 0.4949 1 0.00004263 0.03791 0.04659 0.02495 0.158 1.676 2.013 0.05805 0.06506 1 1 0.05154 0.4116 0.9771 0.08843 0.7062 1.677 json
t20_x73_u0_b17 20 73 0 17 add(R,sub(lrg(R,P),D)) 174206 165361310 o2(x,o2(o2(x,x),x)) true 102055 102055 0.3937 0.7215 0.6065 0.3273 0.5721 -1 1 2 1 4.296 0.003646 0.002524 0.05793 0.1819 1 -0.0001146 0.0008381 0.01726 0.002814 0.05305 0.9158 0.2958 0.01885 0.002561 1 1 0.0125 0.1408 0.3491 0.03817 0.4301 1.067 json
t20_x73_u0_b18 20 73 0 18 add(R,sub(eql(R,P),D)) 174207 165361311 o2(x,o2(o2(x,x),x)) true 102063 102063 0.009165 0.4978 0.4005 0.2287 0.4782 -1 1 2 1 4.894 0.004393 0.003164 0.07461 0.1626 1 0.00003074 0.0006179 0.01902 0.001989 0.0446 0.5978 0.2561 0.03305 0.002702 1 1 0.01479 0.1717 0.3901 0.06468 0.751 1.706 json
t20_x73_u0_b19 20 73 0 19 add(R,sub(min(R,P),D)) 174208 165361312 o2(x,o2(o2(x,x),x)) true 102071 102071 -0.4841 0.2444 0.7959 0.4942 0.703 -1 1 2 1 3.158 0.005943 0.00482 0.05661 0.1044 1 -0.0001094 0.001957 0.01837 0.007558 0.08693 1.536 0.4446 0.02178 0.003961 1 1 0.02139 0.2361 0.5965 0.04328 0.4778 1.207 json
t20_x73_u0_b20 20 73 0 20 add(R,sub(dot(R,P),D)) 174209 165361313 o2(x,o2(o2(x,x),x)) true 102079 102079 -0.09472 0.4491 0.8444 0.7889 0.8882 -1 1 2 1 2.893 0.02541 0.03249 0.1026 -0.1224 1 0.00007104 0.04635 0.07488 0.04736 0.2176 2.122 1.856 0.07339 0.05876 1 1 0.07474 0.5733 1.384 0.09473 0.7267 1.755 json
t20_x73_u0_b21 20 73 0 21 add(R,sub(dst(R,P),D)) 174210 165361314 o2(x,o2(o2(x,x),x)) true 102087 102087 0.9981 1 0.9981 0.0009194 0.03032 0.2196 1 0.7804 1 0.06152 0.00004834 0.00004646 0.0007121 0.01989 0 4.318e-11 0.00004168 0.0004518 0.00009428 0.00971 13.64 0.2255 0.1031 0.04534 1 1 0.000306 0.002481 0.003351 0.3328 2.698 3.644 json
t20_x73_u0_b22 20 73 0 22 add(R,mlt(add(R,P),D)) 174211 165361315 o2(x,o2(o2(x,x),x)) true 102095 102095 -0.116 0.4172 0.5183 0.3571 0.5976 -1 1 2 1 4.85 0.03061 0.00296 0.1434 0.8237 1 0.00181 0.007884 0.05928 0.01302 0.1141 0.7956 0.5583 0.09402 0.02208 1 1 0.0447 0.3715 0.3715 0.1252 1.04 1.04 json
t20_x73_u0_b23 20 73 0 23 add(R,mlt(sub(R,P),D)) 174212 165361316 o2(x,o2(o2(x,x),x)) true 102103 102103 0.1298 0.5809 0.527 0.3655 0.6045 -1 1 2 1 4.818 0.03162 0.00291 0.1434 0.8315 1 -0.001355 0.008291 0.05981 0.01395 0.1181 0.8236 0.5772 0.09447 0.02269 1 1 0.04566 0.3781 0.3804 0.1249 1.034 1.041 json
t20_x73_u0_b24 20 73 0 24 add(R,mlt(mlt(R,P),D)) 174213 165361317 o2(x,o2(o2(x,x),x)) true 102111 102111 -0.01266 0.4786 0.4496 0.3071 0.5542 -1 1 2 1 4.806 0.01262 0.005508 0.1018 0.3923 1 0.0005126 0.004126 0.03477 0.007754 0.08806 0.8646 0.6203 0.05902 0.01344 1 1 0.02696 0.2805 0.503 0.08777 0.9132 1.638 json
t20_x73_u0_b25 20 73 0 25 add(R,mlt(div(R,P),D)) 174214 165361318 o2(x,o2(o2(x,x),x)) true 102119 102119 -0.1169 0.4335 0.4741 0.3099 0.5567 -1 1 2 1 4.777 0.01624 0.002917 0.06561 0.6955 1 0.00005545 0.02755 0.03223 0.01486 0.1219 1.858 1.973 0.06183 0.08888 1 1 0.02685 0.1948 0.5212 0.08665 0.6284 1.682 json
t20_x73_u0_b26 20 73 0 26 add(R,mlt(pow(R,P),D)) 174215 165361319 o2(x,o2(o2(x,x),x)) true 102127 102127 -0.9063 0.05109 0.9777 0.1479 0.3845 -1 1 2 1 0.5957 0.01448 0.0148 0.02108 -0.01092 1 0.0003056 0.06205 0.0353 0.02884 0.1698 8.057 2.828 0.198 0.4197 1 1 0.03253 0.1419 0.3734 0.22 0.9595 2.525 json
t20_x73_u0_b27 20 73 0 27 add(R,mlt(mod(R,P),D)) 174216 165361320 o2(x,o2(o2(x,x),x)) true 102135 102135 -0.1175 0.4324 0.4753 0.3135 0.5599 -1 1 2 1 4.755 0.01654 0.002957 0.0692 0.6966 1 0.000008998 0.02762 0.03329 0.0147 0.1213 1.752 1.973 0.06218 0.08809 1 1 0.02748 0.2022 0.5265 0.08764 0.645 1.679 json
t20_x73_u0_b28 20 73 0 28 add(R,mlt(lrg(R,P),D)) 174217 165361321 o2(x,o2(o2(x,x),x)) true 102143 102143 0.01793 0.5026 0.3992 0.2268 0.4762 -1 1 2 1 4.889 0.003696 0.003181 0.06986 0.07488 1 -0.0001277 0.0004934 0.01718 0.001996 0.04467 0.6394 0.2845 0.03032 0.002175 1 1 0.01355 0.1648 0.3944 0.05973 0.7265 1.739 json
t20_x73_u0_b29 20 73 0 29 add(R,mlt(eql(R,P),D)) 174218 165361322 o2(x,o2(o2(x,x),x)) true 102151 102151 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_x73_u0_b30 20 73 0 30 add(R,mlt(min(R,P),D)) 174219 165361323 o2(x,o2(o2(x,x),x)) true 102159 102159 -0.05775 0.4434 0.4527 0.2898 0.5383 -1 1 2 1 4.92 0.01682 0.003054 0.1056 0.6927 1 0.001009 0.004074 0.03762 0.008733 0.09345 0.8851 0.5403 0.06861 0.01406 1 1 0.02731 0.2489 0.3826 0.09426 0.859 1.321 json
t20_x73_u0_b31 20 73 0 31 add(R,mlt(dot(R,P),D)) 174220 165361324 o2(x,o2(o2(x,x),x)) true 102167 102167 0.006697 0.5071 0.538 0.4074 0.6383 -1 1 2 1 4.691 0.02128 0.00871 0.1277 0.4191 1 0.0002419 0.008755 0.05096 0.01369 0.117 0.9166 0.8164 0.07362 0.02149 1 1 0.04289 0.4163 0.7206 0.1053 1.022 1.769 json
t20_x73_u0_b32 20 73 0 32 add(R,mlt(dst(R,P),D)) 174221 165361325 o2(x,o2(o2(x,x),x)) true 102175 102175 0.01378 0.5176 0.5935 0.4703 0.6858 -1 1 2 1 4.603 0.05607 0.002519 0.1833 0.914 1 0.0002412 0.01764 0.08848 0.02498 0.158 0.8621 0.7249 0.1246 0.03751 1 1 0.07479 0.5481 0.3316 0.159 1.166 0.7051 json
t20_x73_u0_b33 20 73 0 33 add(R,div(add(R,P),D)) 174222 165361326 o2(x,o2(o2(x,x),x)) true 102183 102183 -0.1039 0.4493 0.962 0.9393 0.9692 -1 1 2 1 1.63 0.4042 0.002521 0.2422 0.9876 1 -0.00002243 0.754 0.422 0.348 0.59 2.436 2.828 0.4331 0.8028 1 1 0.428 1.747 0.4247 0.4557 1.86 0.4522 json
t20_x73_u0_b34 20 73 0 34 add(R,div(sub(R,P),D)) 174223 165361327 o2(x,o2(o2(x,x),x)) true 102191 102191 0.1133 0.5563 0.9648 0.9398 0.9694 -1 1 2 1 1.604 0.4054 0.002609 0.2415 0.9872 1 -0.00004065 0.7603 0.422 0.3498 0.5914 2.449 2.828 0.4341 0.8089 1 1 0.4285 1.748 0.4263 0.4559 1.86 0.4536 json
t20_x73_u0_b35 20 73 0 35 add(R,div(mlt(R,P),D)) 174224 165361328 o2(x,o2(o2(x,x),x)) true 102199 102199 -0.01977 0.4885 0.8953 0.8596 0.9271 -1 1 2 1 2.439 0.2782 0.06378 0.2291 0.627 1 4.409e-7 0.685 0.3614 0.2896 0.5381 2.349 2.828 0.3978 0.7969 1 1 0.3654 1.541 1.564 0.425 1.793 1.82 json
t20_x73_u0_b36 20 73 0 36 add(R,div(div(R,P),D)) 174225 165361329 o2(x,o2(o2(x,x),x)) true 102207 102207 -0.1136 0.4453 0.5849 0.4764 0.6902 -1 1 2 1 4.205 0.2139 0.01155 0.2105 0.8976 1 -0.0006006 0.5035 0.2763 0.1811 0.4256 2.022 2.828 0.4733 1.057 1 1 0.2237 0.6212 0.8643 0.4696 1.304 1.814 json
t20_x73_u0_b37 20 73 0 37 add(R,div(pow(R,P),D)) 174226 165361330 o2(x,o2(o2(x,x),x)) true 102215 102215 -0.9191 0.0412 0.9939 0.1473 0.3838 -1 1 2 1 0.3475 0.0273 0.01427 0.02487 0.3133 1 -0.00002191 0.08591 0.04339 0.04096 0.2024 8.138 2.828 0.2822 0.5834 1 1 0.04635 0.1895 0.3619 0.3147 1.286 2.457 json
t20_x73_u0_b38 20 73 0 38 add(R,div(mod(R,P),D)) 174227 165361331 o2(x,o2(o2(x,x),x)) true 102223 102223 -0.1135 0.4432 0.8205 0.7508 0.8665 -1 1 2 1 3.148 0.226 0.02823 0.2125 0.7779 1 -0.00005099 0.5054 0.2781 0.209 0.4572 2.152 2.828 0.3386 0.6731 1 1 0.2737 1.133 1.305 0.3646 1.509 1.738 json
t20_x73_u0_b39 20 73 0 39 add(R,div(lrg(R,P),D)) 174228 165361332 o2(x,o2(o2(x,x),x)) true 102231 102231 0.02288 0.4964 0.6552 0.5542 0.7445 -1 1 2 1 4.173 0.1612 0.002156 0.1567 0.9736 1 -0.000004005 0.2645 0.1753 0.1388 0.3726 2.377 2 0.2948 0.4773 1 1 0.1919 0.8993 0.3214 0.3463 1.623 0.5798 json
t20_x73_u0_b40 20 73 0 40 add(R,div(eql(R,P),D)) 174229 165361333 o2(x,o2(o2(x,x),x)) true 102239 102239 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_x73_u0_b41 20 73 0 41 add(R,div(min(R,P),D)) 174230 165361334 o2(x,o2(o2(x,x),x)) true 102247 102247 -0.05523 0.4764 0.8726 0.8297 0.9109 -1 1 2 1 2.649 0.3272 0.01605 0.239 0.9065 1 -0.00004597 0.6565 0.364 0.2862 0.535 2.238 2.828 0.4137 0.7912 1 1 0.3672 1.506 0.7673 0.4426 1.815 0.9248 json
t20_x73_u0_b42 20 73 0 42 add(R,div(dot(R,P),D)) 174231 165361335 o2(x,o2(o2(x,x),x)) true 102255 102255 0.00269 0.5009 0.9511 0.9348 0.9669 -1 1 2 1 1.795 0.3142 0.07939 0.2403 0.5966 1 0.00003735 0.8107 0.4129 0.3359 0.5796 2.412 2.828 0.421 0.8672 1 1 0.4162 1.702 1.814 0.4453 1.821 1.941 json
t20_x73_u0_b43 20 73 0 43 add(R,div(dst(R,P),D)) 174232 165361336 o2(x,o2(o2(x,x),x)) true 102263 102263 0.002189 0.5016 0.9875 0.9829 0.9914 -1 1 2 1 1.268 0.4584 0.0002051 0.2463 0.9991 1 -9.954e-7 0.8852 0.4668 0.3979 0.6308 2.561 2.01 0.4666 0.9007 1 1 0.4675 1.923 0.03114 0.4757 1.956 0.03168 json
t20_x73_u0_b44 20 73 0 44 add(R,pow(add(R,P),D)) 174233 165361337 o2(x,o2(o2(x,x),x)) true 102271 102271 -0.1731 0.45 0.9209 0.8548 0.9245 -1 1 2 1 2.157 0.01585 0.006487 0.02839 0.4192 1 -0.00003388 0.04301 0.02951 0.02153 0.1467 5.169 2.828 0.02613 0.05032 1 1 0.0309 0.1385 0.4198 0.03615 0.162 0.4911 json
t20_x73_u0_b45 20 73 0 45 add(R,pow(sub(R,P),D)) 174234 165361338 o2(x,o2(o2(x,x),x)) true 102279 102279 -0.1488 0.4523 0.945 0.8973 0.9473 -1 1 2 1 1.903 0.0156 0.006171 0.02437 0.433 1 -0.00009397 0.04201 0.02814 0.02118 0.1455 5.971 2.828 0.02426 0.04681 1 1 0.0303 0.1343 0.4229 0.03377 0.1496 0.4713 json
t20_x73_u0_b46 20 73 0 46 add(R,pow(mlt(R,P),D)) 174235 165361339 o2(x,o2(o2(x,x),x)) true 102287 102287 -0.9055 0.05325 0.9819 0.1544 0.3929 -1 1 2 1 0.5399 0.01588 0.0122 0.01962 0.131 1 5.261e-7 0.05735 0.03394 0.02768 0.1664 8.481 2.828 0.1819 0.3714 1 1 0.02657 0.1251 0.316 0.1721 0.81 2.047 json
t20_x73_u0_b47 20 73 0 47 add(R,pow(div(R,P),D)) 174236 165361340 o2(x,o2(o2(x,x),x)) true 102295 102295 -0.9346 0.03809 0.9874 0.1094 0.3308 -1 1 2 1 0.3682 0.009661 0.008114 0.01281 0.08704 1 1.407e-7 0.03655 0.02255 0.01761 0.1327 10.36 2.814 0.1624 0.334 1 1 0.01692 0.07705 0.2098 0.1546 0.7041 1.917 json
t20_x73_u0_b48 20 73 0 48 add(R,pow(pow(R,P),D)) 174237 165361341 o2(x,o2(o2(x,x),x)) true 102303 102303 -0.8562 0.07422 0.9954 0.26 0.5099 -1 1 2 1 0.4651 0.02331 0.02339 0.02491 -0.001842 1 -1.276e-10 0.0972 0.04842 0.04611 0.2147 8.621 2.828 0.1796 0.3738 1 1 0.04414 0.1886 0.6033 0.1698 0.7253 2.32 json
t20_x73_u0_b49 20 73 0 49 add(R,pow(mod(R,P),D)) 174238 165361342 o2(x,o2(o2(x,x),x)) true 102311 102311 -0.9298 0.03516 0.9999 0.1352 0.3676 -1 1 2 1 0.2269 0.01487 0.01228 0.01357 0.09549 1 7.771e-7 0.05687 0.02724 0.02699 0.1643 12.11 2.828 0.2008 0.4207 1 1 0.02355 0.09668 0.246 0.1742 0.7153 1.82 json
t20_x73_u0_b50 20 73 0 50 add(R,pow(lrg(R,P),D)) 174239 165361343 o2(x,o2(o2(x,x),x)) true 102319 102319 -0.1503 0.4648 0.92 0.8627 0.9288 -1 1 2 1 2.16 0.01512 0.005463 0.02256 0.4692 1 -0.000007488 0.04036 0.0253 0.02007 0.1417 6.28 2.828 0.02386 0.04678 1 1 0.02988 0.1317 0.4422 0.03464 0.1526 0.5126 json
t20_x73_u0_b51 20 73 0 51 add(R,pow(eql(R,P),D)) 174240 165361344 o2(x,o2(o2(x,x),x)) true 102327 102327 -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_x73_u0_b52 20 73 0 52 add(R,pow(min(R,P),D)) 174241 165361345 o2(x,o2(o2(x,x),x)) true 102335 102335 -0.985 0.007813 0.9994 0.02887 0.1699 -1 1 2 1 0.07655 0.002583 0.003502 0.003304 -0.1511 1 -3.004e-11 0.01278 0.006436 0.006074 0.07794 23.59 2.828 0.2108 0.4428 1 1 0.0008164 0.005631 0.02552 0.02828 0.1951 0.8839 json
t20_x73_u0_b53 20 73 0 53 add(R,pow(dot(R,P),D)) 174242 165361346 o2(x,o2(o2(x,x),x)) true 102343 102343 -0.9213 0.04297 0.9927 0.1409 0.3753 -1 1 2 1 0.3529 0.01495 0.01233 0.01622 0.09607 1 -0.000005454 0.05691 0.03047 0.02701 0.1643 10.13 2.828 0.1936 0.4041 1 1 0.0302 0.1301 0.3627 0.2144 0.9234 2.575 json
t20_x73_u0_b54 20 73 0 54 add(R,pow(dst(R,P),D)) 174243 165361347 o2(x,o2(o2(x,x),x)) true 102351 102351 0.8737 0.9951 0.8741 0.05385 0.2321 -0.1256 1 1.126 1 2.05 0.004202 0.001018 0.03925 0.6101 1 -0.0001684 0.002002 0.02169 0.003679 0.06066 1.545 0.3362 0.09693 0.03718 1 1 0.008881 0.06671 0.0787 0.1649 1.239 1.461 json
t20_x73_u0_b55 20 73 0 55 add(R,mod(add(R,P),D)) 174244 165361348 o2(x,o2(o2(x,x),x)) true 102359 102359 0.009643 0.5064 0.4139 0.2445 0.4945 -1 1 2 1 4.924 0.0112 0.003276 0.09757 0.5474 1 -0.0000777 0.02251 0.1108 0.004956 0.0704 0.7216 0.566 0.0592 0.09206 1 1 0.01792 0.1712 0.4171 0.07329 0.6999 1.706 json
t20_x73_u0_b56 20 73 0 56 add(R,mod(sub(R,P),D)) 174245 165361349 o2(x,o2(o2(x,x),x)) true 102367 102367 0.01113 0.4989 0.4292 0.2587 0.5086 -1 1 2 1 4.942 0.01123 0.003288 0.09756 0.5471 1 0.00005387 0.02258 0.11 0.005001 0.07071 0.7248 0.6177 0.05612 0.08729 1 1 0.01829 0.1728 0.4173 0.07069 0.6678 1.613 json
t20_x73_u0_b57 20 73 0 57 add(R,mod(mlt(R,P),D)) 174246 165361350 o2(x,o2(o2(x,x),x)) true 102375 102375 0.002269 0.5005 0.3949 0.2272 0.4767 -1 1 2 1 4.891 0.01099 0.003327 0.09643 0.5352 1 -0.000002421 0.02372 0.1103 0.005018 0.07084 0.7346 0.5299 0.063 0.1044 1 1 0.01691 0.1665 0.4105 0.07442 0.7329 1.806 json
t20_x73_u0_b58 20 73 0 58 add(R,mod(div(R,P),D)) 174247 165361351 o2(x,o2(o2(x,x),x)) true 102383 102383 -0.1231 0.4336 0.4652 0.3031 0.5505 -1 1 2 1 4.738 0.01773 0.002832 0.07289 0.7246 1 0.0001148 0.03195 0.0567 0.01525 0.1235 1.694 1.949 0.06785 0.1054 1 1 0.02782 0.1904 0.5135 0.09178 0.6282 1.694 json
t20_x73_u0_b59 20 73 0 59 add(R,mod(pow(R,P),D)) 174248 165361352 o2(x,o2(o2(x,x),x)) true 102391 102391 -0.8899 0.06354 0.9693 0.1644 0.4054 -1 1 2 1 0.7067 0.01425 0.01549 0.02398 -0.04155 1 -0.00001051 0.06139 0.0426 0.02917 0.1708 7.124 2.7 0.1809 0.3735 1 1 0.02757 0.1266 0.3559 0.1677 0.7701 2.166 json
t20_x73_u0_b60 20 73 0 60 add(R,mod(mod(R,P),D)) 174249 165361353 o2(x,o2(o2(x,x),x)) true 102399 102399 -0.1251 0.4305 0.5372 0.3739 0.6115 -1 1 2 1 4.778 0.02187 0.00396 0.09397 0.6934 1 0.0000454 0.04229 0.1011 0.017 0.1304 1.388 1.949 0.06909 0.1131 1 1 0.03284 0.2321 0.6302 0.08784 0.6208 1.685 json
t20_x73_u0_b61 20 73 0 61 add(R,mod(lrg(R,P),D)) 174250 165361354 o2(x,o2(o2(x,x),x)) true 102407 102407 0.08605 0.5532 0.4143 0.2362 0.486 -0.9988 1 1.999 1 4.895 0.005131 0.003196 0.07519 0.2324 1 0.00001269 0.004899 0.04504 0.002673 0.0517 0.6876 0.3159 0.03525 0.02074 1 1 0.01433 0.1636 0.4002 0.06066 0.6928 1.694 json
t20_x73_u0_b62 20 73 0 62 add(R,mod(eql(R,P),D)) 174251 165361355 o2(x,o2(o2(x,x),x)) true 102415 102415 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_x73_u0_b63 20 73 0 63 add(R,mod(min(R,P),D)) 174252 165361356 o2(x,o2(o2(x,x),x)) true 102423 102423 -0.06874 0.4461 0.4389 0.2631 0.5129 -1 1 2 1 4.932 0.009998 0.003788 0.09661 0.4504 1 0.000005119 0.01775 0.09875 0.004453 0.06673 0.6907 0.4176 0.0524 0.06745 1 1 0.01879 0.1869 0.4686 0.07143 0.7103 1.781 json
t20_x73_u0_b64 20 73 0 64 add(R,mod(dot(R,P),D)) 174253 165361357 o2(x,o2(o2(x,x),x)) true 102431 102431 0.0003678 0.4998 0.4051 0.2351 0.4849 -1 1 2 1 4.906 0.01109 0.003258 0.09634 0.5459 1 0.000106 0.02398 0.1125 0.005067 0.07118 0.7388 0.5134 0.06103 0.102 1 1 0.01683 0.1659 0.4319 0.07157 0.7055 1.837 json
t20_x73_u0_b65 20 73 0 65 add(R,mod(dst(R,P),D)) 174254 165361358 o2(x,o2(o2(x,x),x)) true 102439 102439 0.1514 0.6072 0.4209 0.2299 0.4795 -0.9947 1 1.995 1 4.862 0.01185 0.00322 0.09966 0.5727 1 -0.0001562 0.02462 0.1163 0.005137 0.07167 0.7192 0.6204 0.06555 0.1071 1 1 0.01783 0.1709 0.3971 0.07757 0.7434 1.727 json
t20_x73_u0_b66 20 73 0 66 add(R,lrg(add(R,P),D)) 174255 165361359 o2(x,o2(o2(x,x),x)) true 102447 102447 0.4144 0.7579 0.606 0.3032 0.5506 -0.9989 1 1.999 1 4.355 0.003614 0.002833 0.05328 0.1212 1 -0.00002514 0.002735 0.01922 0.003608 0.06007 1.127 0.9373 0.02126 0.009021 1 1 0.01219 0.1339 0.3514 0.04021 0.4416 1.159 json
t20_x73_u0_b67 20 73 0 67 add(R,lrg(sub(R,P),D)) 174256 165361360 o2(x,o2(o2(x,x),x)) true 102455 102455 0.3967 0.7243 0.6081 0.326 0.571 -0.9986 1 1.999 1 4.282 0.003983 0.002621 0.05172 0.2063 1 -0.00002819 0.00326 0.01943 0.003928 0.06267 1.212 0.9707 0.02026 0.01 1 1 0.01245 0.1344 0.3498 0.03819 0.4123 1.073 json
t20_x73_u0_b68 20 73 0 68 add(R,lrg(mlt(R,P),D)) 174257 165361361 o2(x,o2(o2(x,x),x)) true 102463 102463 0.4154 0.802 0.5752 0.2488 0.4988 -0.9985 1 1.998 1 4.493 0.01146 0.004244 0.06975 0.4594 1 -0.00006135 0.01634 0.03897 0.01084 0.1041 1.492 1.013 0.0631 0.06566 1 1 0.02524 0.2023 0.4248 0.1015 0.8132 1.707 json
t20_x73_u0_b69 20 73 0 69 add(R,lrg(div(R,P),D)) 174258 165361362 o2(x,o2(o2(x,x),x)) true 102471 102471 0.4279 0.7897 0.5737 0.2532 0.5032 -0.9985 1 1.998 1 4.407 0.03367 0.003558 0.1066 0.8089 1 -0.0005695 0.05767 0.09547 0.02587 0.1608 1.509 1.05 0.147 0.2278 1 1 0.04583 0.2629 0.4081 0.181 1.038 1.612 json
t20_x73_u0_b70 20 73 0 70 add(R,lrg(pow(R,P),D)) 174259 165361363 o2(x,o2(o2(x,x),x)) true 102479 102479 0.7699 1 0.7699 0.07763 0.2786 0.001146 1 0.9989 1 2.968 0.004538 0.001445 0.03742 0.5168 1 -0.000031 0.007216 0.02341 0.004584 0.0677 1.809 0.9961 0.07708 0.09296 1 1 0.007597 0.05824 0.1238 0.09787 0.7503 1.594 json
t20_x73_u0_b71 20 73 0 71 add(R,lrg(mod(R,P),D)) 174260 165361364 o2(x,o2(o2(x,x),x)) true 102487 102487 0.3885 0.6857 0.6479 0.3874 0.6224 -0.9986 1 1.999 1 4.003 0.02061 0.006993 0.097 0.4933 1 -0.00009788 0.03262 0.06924 0.0182 0.1349 1.391 1.042 0.07125 0.0842 1 1 0.03785 0.3049 0.6616 0.09769 0.787 1.708 json
t20_x73_u0_b72 20 73 0 72 add(R,lrg(lrg(R,P),D)) 174261 165361365 o2(x,o2(o2(x,x),x)) true 102495 102495 0.624 0.8923 0.6978 0.2001 0.4473 -0.9983 1 1.998 1 3.676 0.02571 0.002046 0.07282 0.8525 1 -0.000009902 0.04501 0.06303 0.02245 0.1498 2.057 1.022 0.1387 0.2249 1 1 0.03398 0.1767 0.2281 0.1698 0.883 1.14 json
t20_x73_u0_b73 20 73 0 73 add(R,lrg(eql(R,P),D)) 174262 165361366 o2(x,o2(o2(x,x),x)) true 102503 102503 0.4375 0.7988 0.5744 0.2449 0.4949 -0.9986 1 1.999 1 4.395 0.04755 0.0025 0.114 0.9001 1 -0.000063 0.08465 0.1105 0.03705 0.1925 1.688 1.023 0.2044 0.3456 1 1 0.05856 0.2751 0.2764 0.2391 1.123 1.129 json
t20_x73_u0_b74 20 73 0 74 add(R,lrg(min(R,P),D)) 174263 165361367 o2(x,o2(o2(x,x),x)) true 102511 102511 0.1878 0.5896 0.5176 0.337 0.5805 -0.9989 1 1.999 1 4.7 0.01352 0.005372 0.08571 0.4315 1 -0.00002644 0.01911 0.04742 0.01155 0.1075 1.254 1.042 0.05607 0.05672 1 1 0.02805 0.256 0.5671 0.08325 0.7597 1.683 json
t20_x73_u0_b75 20 73 0 75 add(R,lrg(dot(R,P),D)) 174264 165361368 o2(x,o2(o2(x,x),x)) true 102519 102519 0.3922 0.7756 0.5608 0.2611 0.511 -0.9983 1 1.998 1 4.505 0.008009 0.004041 0.06672 0.3294 1 -0.0000148 0.01025 0.03125 0.007599 0.08717 1.307 1.003 0.04615 0.03927 1 1 0.02062 0.1852 0.4759 0.07896 0.7094 1.823 json
t20_x73_u0_b76 20 73 0 76 add(R,lrg(dst(R,P),D)) 174265 165361369 o2(x,o2(o2(x,x),x)) true 102527 102527 0.807 1 0.807 0.06925 0.2632 0.001146 1 0.9989 1 2.722 0.001266 0.001467 0.03039 -0.07327 1 -0.00006109 0.0007268 0.01218 0.001809 0.04253 1.4 0.4447 0.03946 0.01049 1 1 0.005024 0.05087 0.1132 0.07255 0.7346 1.635 json
t20_x73_u0_b77 20 73 0 77 add(R,eql(add(R,P),D)) 174266 165361370 o2(x,o2(o2(x,x),x)) true 102535 102535 0.009061 0.4984 0.3947 0.2196 0.4687 -0.9989 0.9806 1.979 1 4.862 0.002873 0.003169 0.06328 -0.04899 1 0.00002675 0.0005351 0.01473 0.002037 0.04513 0.7132 0.8008 0.02751 0.002436 1 1 0.01182 0.1519 0.3914 0.05383 0.6916 1.782 json
t20_x73_u0_b78 20 73 0 78 add(R,eql(sub(R,P),D)) 174267 165361371 o2(x,o2(o2(x,x),x)) true 102543 102543 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_x73_u0_b79 20 73 0 79 add(R,eql(mlt(R,P),D)) 174268 165361372 o2(x,o2(o2(x,x),x)) true 102551 102551 0.009019 0.4984 0.3946 0.2196 0.4686 -0.9989 0.9806 1.979 1 4.862 0.002828 0.003169 0.06324 -0.0569 1 0.00002663 0.0003949 0.01461 0.001998 0.0447 0.7068 0.3544 0.02731 0.001798 1 1 0.01182 0.1519 0.3913 0.05385 0.6917 1.782 json
t20_x73_u0_b80 20 73 0 80 add(R,eql(div(R,P),D)) 174269 165361373 o2(x,o2(o2(x,x),x)) true 102559 102559 0.009262 0.4987 0.3946 0.2195 0.4685 -0.9989 0.9806 1.979 1 4.862 0.003211 0.003168 0.06369 0.006867 1 0.00002663 0.001572 0.01559 0.002323 0.0482 0.7568 0.9984 0.02906 0.007161 1 1 0.01182 0.1519 0.3913 0.05386 0.6919 1.783 json
t20_x73_u0_b81 20 73 0 81 add(R,eql(pow(R,P),D)) 174270 165361374 o2(x,o2(o2(x,x),x)) true 102567 102567 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_x73_u0_b82 20 73 0 82 add(R,eql(mod(R,P),D)) 174271 165361375 o2(x,o2(o2(x,x),x)) true 102575 102575 0.009019 0.4984 0.3946 0.2196 0.4686 -0.9989 0.9806 1.979 1 4.862 0.002828 0.003169 0.06324 -0.0569 1 0.00002663 0.0003949 0.01461 0.001998 0.0447 0.7068 0.3544 0.02731 0.001798 1 1 0.01182 0.1519 0.3913 0.05385 0.6917 1.782 json
t20_x73_u0_b83 20 73 0 83 add(R,eql(lrg(R,P),D)) 174272 165361376 o2(x,o2(o2(x,x),x)) true 102583 102583 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_x73_u0_b84 20 73 0 84 add(R,eql(eql(R,P),D)) 174273 165361377 o2(x,o2(o2(x,x),x)) true 102591 102591 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_x73_u0_b85 20 73 0 85 add(R,eql(min(R,P),D)) 174274 165361378 o2(x,o2(o2(x,x),x)) true 102599 102599 0.009019 0.4984 0.3946 0.2196 0.4686 -0.9989 0.9806 1.979 1 4.862 0.002828 0.003169 0.06324 -0.0569 1 0.00002663 0.0003949 0.01461 0.001998 0.0447 0.7068 0.3544 0.02731 0.001798 1 1 0.01182 0.1519 0.3913 0.05385 0.6917 1.782 json
t20_x73_u0_b86 20 73 0 86 add(R,eql(dot(R,P),D)) 174275 165361379 o2(x,o2(o2(x,x),x)) true 102607 102607 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_x73_u0_b87 20 73 0 87 add(R,eql(dst(R,P),D)) 174276 165361380 o2(x,o2(o2(x,x),x)) true 102615 102615 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_x73_u0_b88 20 73 0 88 add(R,min(add(R,P),D)) 174277 165361381 o2(x,o2(o2(x,x),x)) true 102623 102623 -0.4713 0.2498 0.6707 0.3534 0.5945 -1 1 2 1 3.631 0.003467 0.002273 0.04747 0.208 1 0.0001555 0.0007898 0.01353 0.003486 0.05905 1.244 0.4511 0.01624 0.002235 1 1 0.01206 0.1377 0.3578 0.03413 0.3896 1.012 json
t20_x73_u0_b89 20 73 0 89 add(R,min(sub(R,P),D)) 174278 165361382 o2(x,o2(o2(x,x),x)) true 102631 102631 -0.4266 0.292 0.6733 0.3953 0.6287 -1 1 2 1 3.686 0.00364 0.002504 0.0485 0.185 1 -0.0001258 0.0008555 0.01413 0.003791 0.06157 1.27 0.4356 0.01554 0.002164 1 1 0.0131 0.1443 0.3415 0.03313 0.365 0.864 json
t20_x73_u0_b90 20 73 0 90 add(R,min(mlt(R,P),D)) 174279 165361383 o2(x,o2(o2(x,x),x)) true 102639 102639 -0.5346 0.1687 0.6719 0.2814 0.5304 -1 1 2 1 3.806 0.00574 0.005697 0.06425 0.00375 1 0.0002345 0.003413 0.02621 0.007309 0.08549 1.331 0.6876 0.04065 0.01213 1 1 0.01941 0.2038 0.459 0.06898 0.7242 1.631 json
t20_x73_u0_b91 20 73 0 91 add(R,min(div(R,P),D)) 174280 165361384 o2(x,o2(o2(x,x),x)) true 102647 102647 -0.2218 0.3505 0.465 0.2673 0.517 -1 1 2 1 4.694 0.01082 0.00751 0.07299 0.1805 1 0.0003418 0.0246 0.03598 0.013 0.114 1.562 2.541 0.06857 0.09203 1 1 0.02846 0.2049 0.4999 0.1065 0.7667 1.87 json
t20_x73_u0_b92 20 73 0 92 add(R,min(pow(R,P),D)) 174281 165361385 o2(x,o2(o2(x,x),x)) true 102655 102655 -0.005008 0.4835 0.3988 0.2285 0.4781 -1 1 2 1 4.896 0.004483 0.003092 0.07497 0.1837 1 0.00006618 0.000637 0.01934 0.001955 0.04421 0.5898 0.2845 0.03314 0.002787 1 1 0.01498 0.1727 0.388 0.06556 0.7559 1.698 json
t20_x73_u0_b93 20 73 0 93 add(R,min(mod(R,P),D)) 174282 165361386 o2(x,o2(o2(x,x),x)) true 102663 102663 -0.1861 0.4031 0.5366 0.3549 0.5957 -1 1 2 1 4.73 0.005918 0.005778 0.08412 0.01198 1 0.0001176 0.001453 0.02368 0.004621 0.06797 0.8081 0.3757 0.03296 0.004095 1 1 0.02243 0.2619 0.615 0.06321 0.738 1.733 json
t20_x73_u0_b94 20 73 0 94 add(R,min(lrg(R,P),D)) 174283 165361387 o2(x,o2(o2(x,x),x)) true 102671 102671 -0.05759 0.447 0.4145 0.2394 0.4892 -1 1 2 1 4.906 0.004384 0.003193 0.07444 0.1571 1 0.00009954 0.0006457 0.01999 0.002035 0.04511 0.606 0.2845 0.03165 0.002698 1 1 0.01497 0.1736 0.3978 0.06256 0.7252 1.662 json
t20_x73_u0_b95 20 73 0 95 add(R,min(eql(R,P),D)) 174284 165361388 o2(x,o2(o2(x,x),x)) true 102679 102679 -0.1322 0.395 0.4148 0.2257 0.4751 -1 0.9804 1.98 1 4.848 0.004249 0.003149 0.07322 0.1487 1 0.0003326 0.000644 0.02011 0.002036 0.04512 0.6162 0.2626 0.03277 0.002853 1 1 0.01458 0.1689 0.3866 0.06461 0.7481 1.713 json
t20_x73_u0_b96 20 73 0 96 add(R,min(min(R,P),D)) 174285 165361389 o2(x,o2(o2(x,x),x)) true 102687 102687 -0.5936 0.1865 0.7495 0.3165 0.5626 -1 1 2 1 3.198 0.003664 0.00305 0.04809 0.09147 1 0.0001287 0.0008979 0.01397 0.004403 0.06636 1.38 0.3434 0.02121 0.002837 1 1 0.01347 0.159 0.4052 0.04257 0.5021 1.28 json
t20_x73_u0_b97 20 73 0 97 add(R,min(dot(R,P),D)) 174286 165361390 o2(x,o2(o2(x,x),x)) true 102695 102695 -0.6157 0.1587 0.7516 0.292 0.5404 -1 1 2 1 3.197 0.006541 0.006868 0.06275 -0.02439 1 0.0002894 0.005017 0.02994 0.009473 0.09733 1.551 0.9202 0.04592 0.01718 1 1 0.02321 0.227 0.531 0.07948 0.7775 1.819 json
t20_x73_u0_b98 20 73 0 98 add(R,min(dst(R,P),D)) 174287 165361391 o2(x,o2(o2(x,x),x)) true 102703 102703 0.009064 0.4986 0.4013 0.2304 0.48 -1 1 2 1 4.899 0.004472 0.003166 0.07546 0.171 1 0.00002869 0.0006265 0.01935 0.001943 0.04407 0.5841 0.2845 0.03315 0.002719 1 1 0.01509 0.1746 0.3904 0.06548 0.7579 1.694 json
t20_x73_u0_b99 20 73 0 99 add(R,dot(add(R,P),D)) 174288 165361392 o2(x,o2(o2(x,x),x)) true 102711 102711 -0.2049 0.3715 0.5943 0.4275 0.6538 -1 1 2 1 4.557 0.02666 0.0267 0.1806 -0.0006879 1 0.002607 0.0174 0.08204 0.02072 0.144 0.797 0.6874 0.1248 0.0407 1 1 0.06949 0.5231 0.3519 0.1625 1.224 0.8232 json
t20_x73_u0_b100 20 73 0 100 add(R,dot(sub(R,P),D)) 174289 165361393 o2(x,o2(o2(x,x),x)) true 102719 102719 0.2284 0.6402 0.6096 0.4347 0.6593 -1 1 2 1 4.511 0.02712 0.02723 0.1801 -0.002154 1 -0.002608 0.01836 0.08296 0.02191 0.148 0.8219 0.7476 0.125 0.04224 1 1 0.07222 0.5479 0.3554 0.1662 1.26 0.8177 json
t20_x73_u0_b101 20 73 0 101 add(R,dot(mlt(R,P),D)) 174290 165361394 o2(x,o2(o2(x,x),x)) true 102727 102727 -0.009138 0.4964 0.5528 0.4248 0.6518 -1 1 2 1 4.669 0.01489 0.01566 0.1309 -0.02541 1 0.0002533 0.008497 0.05014 0.01341 0.1158 0.8842 0.7576 0.07191 0.02 1 1 0.04406 0.4522 0.7083 0.1037 1.064 1.667 json
t20_x73_u0_b102 20 73 0 102 add(R,dot(div(R,P),D)) 174291 165361395 o2(x,o2(o2(x,x),x)) true 102735 102735 -0.2459 0.3613 0.5511 0.358 0.5984 -1 1 2 1 4.498 0.01467 0.0153 0.06745 -0.02104 1 0.00005031 0.05037 0.04627 0.02543 0.1595 2.364 2.162 0.08372 0.1407 1 1 0.03856 0.2303 0.6081 0.1077 0.6432 1.699 json
t20_x73_u0_b103 20 73 0 103 add(R,dot(pow(R,P),D)) 174292 165361396 o2(x,o2(o2(x,x),x)) true 102743 102743 -0.9889 0.005783 0.9948 0.01533 0.1238 -1 1 2 1 0.1147 0.002183 0.002541 0.003781 -0.07583 1 -1.352e-10 0.01013 0.006055 0.004705 0.06859 18.14 2.038 0.3081 0.661 1 1 0.008382 0.02768 0.05505 0.5466 1.805 3.59 json
t20_x73_u0_b104 20 73 0 104 add(R,dot(mod(R,P),D)) 174293 165361397 o2(x,o2(o2(x,x),x)) true 102751 102751 -0.2461 0.3628 0.559 0.3699 0.6082 -1 1 2 1 4.453 0.01495 0.01552 0.07403 -0.01881 1 -0.00008759 0.04988 0.04806 0.02499 0.1581 2.135 2.035 0.08238 0.1348 1 1 0.03889 0.2374 0.6178 0.1052 0.6419 1.67 json
t20_x73_u0_b105 20 73 0 105 add(R,dot(lrg(R,P),D)) 174294 165361398 o2(x,o2(o2(x,x),x)) true 102759 102759 0.02679 0.5145 0.4058 0.2345 0.4843 -1 1 2 1 4.906 0.003698 0.003949 0.07521 -0.03279 1 -0.0002811 0.0006252 0.01899 0.00199 0.04461 0.5932 0.2911 0.03261 0.002666 1 1 0.01512 0.1763 0.3977 0.06447 0.7519 1.696 json
t20_x73_u0_b106 20 73 0 106 add(R,dot(eql(R,P),D)) 174295 165361399 o2(x,o2(o2(x,x),x)) true 102767 102767 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_x73_u0_b107 20 73 0 107 add(R,dot(min(R,P),D)) 174296 165361400 o2(x,o2(o2(x,x),x)) true 102775 102775 -0.1061 0.4276 0.5057 0.3484 0.5902 -1 1 2 1 4.824 0.01572 0.0162 0.1342 -0.01489 1 0.001354 0.008622 0.05453 0.01391 0.118 0.8789 0.65 0.09164 0.02475 1 1 0.04182 0.338 0.3708 0.12 0.9701 1.064 json
t20_x73_u0_b108 20 73 0 108 add(R,dot(dot(R,P),D)) 174297 165361401 o2(x,o2(o2(x,x),x)) true 102783 102783 0.01221 0.5063 0.6508 0.5437 0.7374 -1 1 2 1 4.314 0.02226 0.02564 0.1447 -0.07054 1 -0.0001422 0.0223 0.06927 0.02696 0.1642 1.135 1.369 0.08809 0.04102 1 1 0.06851 0.635 0.9739 0.126 1.168 1.791 json
t20_x73_u0_b109 20 73 0 109 add(R,dot(dst(R,P),D)) 174298 165361402 o2(x,o2(o2(x,x),x)) true 102791 102791 0.01399 0.5122 0.6443 0.5321 0.7294 -1 1 2 1 4.397 0.04295 0.04232 0.219 0.007376 1 0.00009253 0.04094 0.1127 0.03729 0.1931 0.8816 1.005 0.1603 0.07694 1 1 0.1125 0.739 0.3119 0.2115 1.389 0.5862 json
t20_x73_u0_b110 20 73 0 110 add(R,dst(add(R,P),D)) 174299 165361403 o2(x,o2(o2(x,x),x)) true 102799 102799 0.9996 1 0.9996 0.0001321 0.0115 0.4696 1 0.5304 1 0.02334 0.00001624 0.00001324 0.0002562 0.1016 0 -2.44e-11 0.00002321 0.0002339 0.00002944 0.005426 21.18 0.2347 0.2231 0.1756 1 1 0.00008799 0.0004536 0.0004809 0.6659 3.433 3.639 json