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

grad-noise-175k

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

About this collection

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

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

The space

An ither formula with two layers:

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

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

The apparatus

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

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

The measurements

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

Value distribution

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

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

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

Change of slope (four-neighbour Laplacian L)

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

Normalised by contrast (comparable across amplitudes)

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

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

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

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

Reading them, and their limits

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

Provenance

  • Apparatus: noiseBatch/one.uto, project SHA-256 b6fc8f27…be04d0
  • Expression corpus: SHA-256 7d3ec029…d72266
  • Run files (canonical), in ~/lab/data/grad-noise-175k/: the enumeration (grad-noise-175k.jsonl), the measurements (grad-noise-175k-output.jsonl, joined on inputs.expr), the formula (grad-noise-175k.manifest.json) and the frames (png/)
175,797 records
coordinate ▲ t x u b expression batch index ordinal topo measured step globalStep value_mean value_positive_fraction value_abs_mean value_variance value_stddev value_min value_max value_range histogram_probability_sum histogram_entropy_bits gradient_energy_x gradient_energy_y gradient_magnitude_mean gradient_axis_bias gradient_nonzero_flag laplacian_mean laplacian_energy laplacian_abs_mean gradient_magnitude_variance gradient_magnitude_stddev gradient_magnitude_cv gradient_magnitude_max gradient_energy_over_variance laplacian_energy_over_variance variance_normalization_valid_flag gradient_cv_valid_flag scale_diff2_near scale_diff2_mid scale_diff2_far scale_diff2_near_over_variance scale_diff2_mid_over_variance scale_diff2_far_over_variance
t20_x22_u0_b162 20 22 0 162 sub(P,div(min(R,D),D)) 164100 163301004 o2(x,o2(o2(x,x),x)) true 21207 21207 -0.06731 0.4712 0.9365 0.9149 0.9565 -1 1 2 1 1.913 0.1994 0.006644 0.134 0.9355 1 -0.0008004 0.4776 0.2218 0.188 0.4336 3.236 2.828 0.2252 0.522 1 1 0.2076 0.4152 0.4564 0.227 0.4538 0.4989 json
t20_x22_u0_b163 20 22 0 163 sub(P,div(dot(R,D),D)) 164101 163301005 o2(x,o2(o2(x,x),x)) true 21215 21215 -0.00001956 0.503 0.9335 0.9115 0.9547 -1 1 2 1 2.014 0.1509 0.01417 0.117 0.8284 1 0.00003798 0.4577 0.1886 0.1514 0.389 3.324 2.828 0.1811 0.5022 1 1 0.1493 0.3219 0.4158 0.1638 0.3532 0.4562 json
t20_x22_u0_b164 20 22 0 164 sub(P,div(dst(R,D),D)) 164102 163301006 o2(x,o2(o2(x,x),x)) true 21223 21223 -0.003001 0.4985 0.9541 0.9389 0.969 -1 1 2 1 1.761 0.3806 0.002769 0.2479 0.9856 1 -0.000004044 0.6865 0.4039 0.3218 0.5673 2.288 2.725 0.4083 0.7311 1 1 0.4244 1.152 0.206 0.452 1.227 0.2194 json
t20_x22_u0_b165 20 22 0 165 sub(P,pow(add(R,D),D)) 164103 163301007 o2(x,o2(o2(x,x),x)) true 21231 21231 -0.9505 0.02231 0.9944 0.09006 0.3001 -1 1 2 1 0.2418 0.02974 0.007284 0.02058 0.6065 1 0.0005054 0.07963 0.03935 0.0366 0.1913 9.297 2.828 0.4111 0.8841 1 1 0.03257 0.1053 0.1834 0.3617 1.169 2.037 json
t20_x22_u0_b166 20 22 0 166 sub(P,pow(sub(R,D),D)) 164104 163301008 o2(x,o2(o2(x,x),x)) true 21239 21239 -0.9501 0.02678 0.9927 0.08815 0.2969 -1 1 2 1 0.2875 0.02881 0.008023 0.02078 0.5643 1 -4.473e-7 0.08062 0.04034 0.03642 0.1908 9.183 2.828 0.4178 0.9145 1 1 0.0354 0.1166 0.2041 0.4015 1.323 2.316 json
t20_x22_u0_b167 20 22 0 167 sub(P,pow(mlt(R,D),D)) 164105 163301009 o2(x,o2(o2(x,x),x)) true 21247 21247 -0.9717 0.01497 0.9972 0.05244 0.229 -1 1 2 1 0.1435 0.006768 0.004861 0.006462 0.164 1 0 0.02464 0.01246 0.01158 0.1076 16.66 2.828 0.2217 0.4698 1 1 0.01065 0.04028 0.1064 0.203 0.7681 2.029 json
t20_x22_u0_b168 20 22 0 168 sub(P,pow(div(R,D),D)) 164106 163301010 o2(x,o2(o2(x,x),x)) true 21255 21255 -0.971 0.01427 0.9976 0.05402 0.2324 -1 1 2 1 0.1678 0.006743 0.005133 0.006715 0.1356 1 -3.954e-7 0.02507 0.01278 0.01183 0.1087 16.2 2.828 0.2198 0.464 1 1 0.01136 0.04575 0.1143 0.2102 0.8468 2.116 json
t20_x22_u0_b169 20 22 0 169 sub(P,pow(pow(R,D),D)) 164107 163301011 o2(x,o2(o2(x,x),x)) true 21263 21263 -0.99 0.004044 0.9978 0.01731 0.1316 -1 1 2 1 0.07967 0.001283 0.001993 0.002151 -0.2166 1 -6.007e-11 0.006828 0.003897 0.00327 0.05718 26.59 2 0.1893 0.3945 1 1 0.00009728 0.0006863 0.01491 0.005621 0.03965 0.8613 json
t20_x22_u0_b170 20 22 0 170 sub(P,pow(mod(R,D),D)) 164108 163301012 o2(x,o2(o2(x,x),x)) true 21271 21271 -0.9911 0.003906 0.9989 0.01612 0.127 -1 1 2 1 0.07443 0.001459 0.00185 0.002582 -0.1182 1 1.877e-11 0.00724 0.004805 0.0033 0.05745 22.25 2 0.2052 0.449 1 1 0.00004114 0.0002571 0.01382 0.002552 0.01595 0.8572 json
t20_x22_u0_b171 20 22 0 171 sub(P,pow(lrg(R,D),D)) 164109 163301013 o2(x,o2(o2(x,x),x)) true 21279 21279 -0.5031 0.2375 0.9541 0.6956 0.834 -1 1 2 1 1.277 0.1768 0.02312 0.1067 0.7687 1 0.000006445 0.4355 0.2101 0.1886 0.4343 4.068 2.828 0.2874 0.6261 1 1 0.1895 0.5302 0.7371 0.2725 0.7622 1.06 json
t20_x22_u0_b172 20 22 0 172 sub(P,pow(eql(R,D),D)) 164110 163301014 o2(x,o2(o2(x,x),x)) true 21287 21287 -1 0 1 0 0 -1 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 json
t20_x22_u0_b173 20 22 0 173 sub(P,pow(min(R,D),D)) 164111 163301015 o2(x,o2(o2(x,x),x)) true 21295 21295 -1 0 1 0 0 -1 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 json
t20_x22_u0_b174 20 22 0 174 sub(P,pow(dot(R,D),D)) 164112 163301016 o2(x,o2(o2(x,x),x)) true 21303 21303 -0.9312 0.03596 0.9929 0.1235 0.3514 -1 1 2 1 0.3366 0.03146 0.0286 0.03118 0.04762 1 -0.0001724 0.1792 0.06451 0.0591 0.2431 7.797 2.828 0.4863 1.451 1 1 0.05117 0.1572 0.2588 0.4143 1.273 2.095 json
t20_x22_u0_b175 20 22 0 175 sub(P,pow(dst(R,D),D)) 164113 163301017 o2(x,o2(o2(x,x),x)) true 21311 21311 -0.1254 0.4379 0.9361 0.9067 0.9522 -1 1 2 1 1.821 0.0007222 0.00002838 0.008327 0.9244 1 -0.000005979 0.00007667 0.002166 0.0006809 0.02609 3.134 0.622 0.0008278 0.00008456 1 1 0.001935 0.02509 0.233 0.002135 0.02767 0.257 json
t20_x22_u0_b176 20 22 0 176 sub(P,mod(add(R,D),D)) 164114 163301018 o2(x,o2(o2(x,x),x)) true 21319 21319 -0.0004006 0.5007 0.938 0.9234 0.961 -1 1 2 1 1.841 0.001432 0.0000205 0.0104 0.9718 1 0.000003548 0.002066 0.01199 0.001344 0.03666 3.527 0.3438 0.001573 0.002238 1 1 0.002531 0.0254 0.2374 0.00274 0.02751 0.2571 json
t20_x22_u0_b177 20 22 0 177 sub(P,mod(sub(R,D),D)) 164115 163301019 o2(x,o2(o2(x,x),x)) true 21327 21327 0.0001254 0.5019 0.9368 0.923 0.9607 -1 1 2 1 1.834 0.001451 0.00001721 0.01033 0.9766 1 0.000003786 0.001956 0.01156 0.001361 0.0369 3.574 0.5005 0.00159 0.00212 1 1 0.002653 0.02677 0.2346 0.002874 0.02901 0.2542 json
t20_x22_u0_b178 20 22 0 178 sub(P,mod(mlt(R,D),D)) 164116 163301020 o2(x,o2(o2(x,x),x)) true 21335 21335 0.0005545 0.5 0.942 0.9282 0.9634 -1 1 2 1 1.822 0.0008361 0.00003002 0.009041 0.9307 1 7.121e-8 0.00008062 0.002675 0.000784 0.028 3.097 0.1585 0.0009331 0.00008686 1 1 0.002224 0.02808 0.2426 0.002397 0.03026 0.2613 json
t20_x22_u0_b179 20 22 0 179 sub(P,mod(div(R,D),D)) 164117 163301021 o2(x,o2(o2(x,x),x)) true 21343 21343 0.00043 0.4998 0.9391 0.9253 0.9619 -1 1 2 1 1.823 0.00199 0.00002338 0.01181 0.9768 1 1.482e-7 0.003817 0.01649 0.001873 0.04328 3.665 0.4542 0.002176 0.004126 1 1 0.002856 0.02707 0.2383 0.003087 0.02926 0.2576 json
t20_x22_u0_b180 20 22 0 180 sub(P,mod(pow(R,D),D)) 164118 163301022 o2(x,o2(o2(x,x),x)) true 21351 21351 -0.9855 0.006561 0.9961 0.02425 0.1557 -1 1 2 1 0.1161 0.00213 0.002905 0.003391 -0.1538 1 7.133e-11 0.01062 0.006347 0.005024 0.07088 20.9 2.822 0.2077 0.4379 1 1 0.0004984 0.003492 0.02132 0.02056 0.144 0.8792 json
t20_x22_u0_b181 20 22 0 181 sub(P,mod(mod(R,D),D)) 164119 163301023 o2(x,o2(o2(x,x),x)) true 21359 21359 0.0002288 0.5014 0.9374 0.9234 0.9609 -1 1 2 1 1.834 0.001602 0.00002798 0.01085 0.9657 1 0.000005116 0.002465 0.01327 0.001512 0.03888 3.585 0.5005 0.001765 0.002669 1 1 0.002758 0.02646 0.2368 0.002987 0.02865 0.2564 json
t20_x22_u0_b182 20 22 0 182 sub(P,mod(lrg(R,D),D)) 164120 163301024 o2(x,o2(o2(x,x),x)) true 21367 21367 -0.01012 0.4918 0.9366 0.9231 0.9608 -1 1 2 1 1.804 0.001224 0.000005718 0.009061 0.9907 1 0.000001895 0.001278 0.008833 0.001149 0.03389 3.741 0.3551 0.001333 0.001385 1 1 0.00246 0.02614 0.2339 0.002665 0.02832 0.2534 json
t20_x22_u0_b183 20 22 0 183 sub(P,mod(eql(R,D),D)) 164121 163301025 o2(x,o2(o2(x,x),x)) true 21375 21375 -0.00001628 0.5 0.9375 0.924 0.9612 -1 1 2 1 1.813 0.0007085 2.49e-8 0.007939 0.9999 1 -4.756e-8 0.00003965 0.001894 0.0006458 0.02541 3.201 0.2427 0.0007668 0.00004291 1 1 0.001851 0.02449 0.2344 0.002003 0.02651 0.2537 json
t20_x22_u0_b184 20 22 0 184 sub(P,mod(min(R,D),D)) 164122 163301026 o2(x,o2(o2(x,x),x)) true 21383 21383 0.006901 0.5095 0.9377 0.9248 0.9617 -1 1 2 1 1.833 0.003095 0.00001663 0.01581 0.9893 1 0.000002577 0.005852 0.02386 0.002861 0.05349 3.384 0.6404 0.003365 0.006327 1 1 0.004278 0.02951 0.2376 0.004625 0.03191 0.2569 json
t20_x22_u0_b185 20 22 0 185 sub(P,mod(dot(R,D),D)) 164123 163301027 o2(x,o2(o2(x,x),x)) true 21391 21391 0.0007944 0.4998 0.9397 0.9257 0.9622 -1 1 2 1 1.835 0.0009878 0.0003078 0.01091 0.5248 1 -0.00000912 0.002036 0.01016 0.001177 0.0343 3.145 0.467 0.0014 0.0022 1 1 0.002606 0.02765 0.2392 0.002815 0.02987 0.2584 json
t20_x22_u0_b186 20 22 0 186 sub(P,mod(dst(R,D),D)) 164124 163301028 o2(x,o2(o2(x,x),x)) true 21399 21399 -0.01801 0.4809 0.9374 0.9235 0.961 -1 1 2 1 1.828 0.001787 0.0004468 0.01362 0.6 1 0.000002924 0.005857 0.02092 0.002048 0.04525 3.322 0.52 0.002419 0.006342 1 1 0.003239 0.02709 0.2349 0.003508 0.02933 0.2544 json
t20_x22_u0_b187 20 22 0 187 sub(P,lrg(add(R,D),D)) 164125 163301029 o2(x,o2(o2(x,x),x)) true 21407 21407 -0.06541 0.4608 0.9287 0.9116 0.9548 -1 1 2 1 1.855 0.0009844 0.0002879 0.01003 0.5475 1 0.00001926 0.0001808 0.003033 0.001171 0.03422 3.413 0.2338 0.001396 0.0001983 1 1 0.00338 0.04008 0.2523 0.003707 0.04397 0.2768 json
t20_x22_u0_b188 20 22 0 188 sub(P,lrg(sub(R,D),D)) 164126 163301030 o2(x,o2(o2(x,x),x)) true 21415 21415 -0.06567 0.4463 0.9273 0.9169 0.9576 -1 1 2 1 1.605 0.004755 0.000194 0.009578 0.9216 1 0.000009742 0.008706 0.01349 0.004857 0.06969 7.276 0.9997 0.005397 0.009495 1 1 0.007612 0.04228 0.2549 0.008302 0.0461 0.278 json
t20_x22_u0_b189 20 22 0 189 sub(P,lrg(mlt(R,D),D)) 164127 163301031 o2(x,o2(o2(x,x),x)) true 21423 21423 -0.0625 0.4375 0.9375 0.9336 0.9662 -1 1 2 1 1.272 0.007937 0 0.007937 1 1 0 0.01587 0.01587 0.007872 0.08872 11.18 1 0.008501 0.017 1 1 0.01053 0.04211 0.2526 0.01128 0.0451 0.2706 json
t20_x22_u0_b190 20 22 0 190 sub(P,lrg(div(R,D),D)) 164128 163301032 o2(x,o2(o2(x,x),x)) true 21431 21431 -0.06258 0.4713 0.9382 0.9206 0.9595 -1 1 2 1 1.821 0.007774 0.0002665 0.01714 0.9337 1 -0.000002494 0.0146 0.01848 0.00775 0.08804 5.135 1 0.008733 0.01586 1 1 0.01132 0.06109 0.2627 0.01229 0.06635 0.2853 json
t20_x22_u0_b191 20 22 0 191 sub(P,lrg(pow(R,D),D)) 164129 163301033 o2(x,o2(o2(x,x),x)) true 21439 21439 -0.1228 0.4375 0.9381 0.9108 0.9544 -1 1 2 1 1.77 0.001044 0.000009714 0.00804 0.9816 1 -4.857e-7 0.0007007 0.003272 0.0009895 0.03146 3.913 0.9264 0.001157 0.0007693 1 1 0.002381 0.0264 0.2387 0.002615 0.02899 0.2621 json
t20_x22_u0_b192 20 22 0 192 sub(P,lrg(mod(R,D),D)) 164130 163301034 o2(x,o2(o2(x,x),x)) true 21447 21447 -0.06234 0.438 0.9377 0.9337 0.9663 -1 1 2 1 1.276 0.007897 0.00000155 0.008001 0.9996 1 4.735e-7 0.01576 0.01592 0.007832 0.0885 11.06 1 0.008459 0.01688 1 1 0.01053 0.04211 0.2527 0.01127 0.04509 0.2707 json
t20_x22_u0_b193 20 22 0 193 sub(P,lrg(lrg(R,D),D)) 164131 163301035 o2(x,o2(o2(x,x),x)) true 21455 21455 -0.09003 0.4375 0.9321 0.9168 0.9575 -1 1 2 1 1.626 0.004451 0.0001254 0.009066 0.9452 1 0.000006999 0.008332 0.01119 0.004494 0.06704 7.394 1 0.004992 0.009088 1 1 0.006897 0.03847 0.2546 0.007522 0.04196 0.2777 json
t20_x22_u0_b194 20 22 0 194 sub(P,lrg(eql(R,D),D)) 164132 163301036 o2(x,o2(o2(x,x),x)) true 21463 21463 -0.0625 0.4375 0.9375 0.9336 0.9662 -1 1 2 1 1.272 0.007937 0 0.007937 1 1 0 0.01587 0.01587 0.007872 0.08872 11.18 1 0.008501 0.017 1 1 0.01053 0.04211 0.2526 0.01128 0.0451 0.2706 json
t20_x22_u0_b195 20 22 0 195 sub(P,lrg(min(R,D),D)) 164133 163301037 o2(x,o2(o2(x,x),x)) true 21471 21471 0 0.5 0.9375 0.924 0.9612 -1 1 2 1 1.813 0.0007059 0 0.007937 1 1 0 0.00003235 0.001851 0.0006432 0.02536 3.195 0.1169 0.0007639 0.00003501 1 1 0.001851 0.02449 0.2344 0.002003 0.0265 0.2537 json
t20_x22_u0_b196 20 22 0 196 sub(P,lrg(dot(R,D),D)) 164134 163301038 o2(x,o2(o2(x,x),x)) true 21479 21479 -0.0628 0.4584 0.9377 0.9271 0.9629 -1 1 2 1 1.603 0.00518 0.003513 0.01338 0.1918 1 0.00001576 0.02638 0.02189 0.008516 0.09228 6.899 1.414 0.009376 0.02846 1 1 0.01213 0.05235 0.258 0.01308 0.05647 0.2783 json
t20_x22_u0_b197 20 22 0 197 sub(P,lrg(dst(R,D),D)) 164135 163301039 o2(x,o2(o2(x,x),x)) true 21487 21487 -0.1224 0.4375 0.9371 0.9093 0.9536 -1 1 2 1 1.775 0.001145 0.0002112 0.008347 0.6886 1 -5.327e-7 0.002114 0.004296 0.001287 0.03587 4.297 1.01 0.001492 0.002325 1 1 0.002696 0.02698 0.2365 0.002965 0.02968 0.26 json
t20_x22_u0_b198 20 22 0 198 sub(P,eql(add(R,D),D)) 164136 163301040 o2(x,o2(o2(x,x),x)) true 21495 21495 0 0.5 0.9375 0.924 0.9612 -1 1 2 1 1.813 0.0007059 0 0.007937 1 1 0 0.00003235 0.001851 0.0006432 0.02536 3.195 0.1169 0.0007639 0.00003501 1 1 0.001851 0.02449 0.2344 0.002003 0.0265 0.2537 json
t20_x22_u0_b199 20 22 0 199 sub(P,eql(sub(R,D),D)) 164137 163301041 o2(x,o2(o2(x,x),x)) true 21503 21503 0 0.5 0.9375 0.924 0.9612 -1 1 2 1 1.813 0.0007059 0 0.007937 1 1 0 0.00003235 0.001851 0.0006432 0.02536 3.195 0.1169 0.0007639 0.00003501 1 1 0.001851 0.02449 0.2344 0.002003 0.0265 0.2537 json
t20_x22_u0_b200 20 22 0 200 sub(P,eql(mlt(R,D),D)) 164138 163301042 o2(x,o2(o2(x,x),x)) true 21511 21511 0 0.5 0.9375 0.924 0.9612 -1 1 2 1 1.813 0.0007059 0 0.007937 1 1 0 0.00003235 0.001851 0.0006432 0.02536 3.195 0.1169 0.0007639 0.00003501 1 1 0.001851 0.02449 0.2344 0.002003 0.0265 0.2537 json
t20_x23_u0_b0 20 23 0 0 add(P,add(add(R,D),R)) 164139 163341243 o2(x,o2(o2(x,x),x)) true 21519 21519 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_x23_u0_b1 20 23 0 1 add(P,add(sub(R,D),R)) 164140 163341244 o2(x,o2(o2(x,x),x)) true 21527 21527 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_x23_u0_b2 20 23 0 2 add(P,add(mlt(R,D),R)) 164141 163341245 o2(x,o2(o2(x,x),x)) true 21535 21535 0.003374 0.4965 0.941 0.9199 0.9591 -1 1 2 1 1.964 0.001264 0.0003931 0.01198 0.5254 1 -0.00002099 0.0002949 0.004004 0.001514 0.03891 3.246 0.3224 0.001801 0.0003206 1 1 0.004038 0.04667 0.2731 0.00439 0.05074 0.2969 json
t20_x23_u0_b3 20 23 0 3 add(P,add(div(R,D),R)) 164142 163341246 o2(x,o2(o2(x,x),x)) true 21543 21543 0.001836 0.4996 0.9517 0.9349 0.9669 -1 1 2 1 1.819 0.3166 0.02095 0.2113 0.8759 1 0.0009643 0.7918 0.3584 0.2929 0.5412 2.561 2.828 0.361 0.847 1 1 0.3422 0.7552 0.837 0.3661 0.8078 0.8953 json
t20_x23_u0_b4 20 23 0 4 add(P,add(pow(R,D),R)) 164143 163341247 o2(x,o2(o2(x,x),x)) true 21551 21551 -0.9678 0.01627 0.9954 0.057 0.2388 -1 1 2 1 0.1992 0.004514 0.006515 0.006777 -0.1814 1 3.004e-10 0.02276 0.0124 0.01099 0.1048 15.47 2.828 0.1935 0.3993 1 1 0.006341 0.03168 0.08441 0.1112 0.5558 1.481 json
t20_x23_u0_b5 20 23 0 5 add(P,add(mod(R,D),R)) 164144 163341248 o2(x,o2(o2(x,x),x)) true 21559 21559 0.004655 0.4978 0.9437 0.9221 0.9603 -1 1 2 1 1.947 0.002176 0.000512 0.01456 0.6191 1 -0.00002514 0.002814 0.01431 0.002477 0.04977 3.418 0.4527 0.002915 0.003051 1 1 0.005161 0.05055 0.2841 0.005597 0.05482 0.3081 json
t20_x23_u0_b6 20 23 0 6 add(P,add(lrg(R,D),R)) 164145 163341249 o2(x,o2(o2(x,x),x)) true 21567 21567 0.06523 0.5297 0.9429 0.9182 0.9582 -1 1 2 1 1.923 0.003451 0.001115 0.01877 0.5115 1 -0.00003343 0.003844 0.01202 0.004213 0.06491 3.458 0.999 0.004973 0.004186 1 1 0.009636 0.08343 0.3393 0.01049 0.09087 0.3695 json
t20_x23_u0_b7 20 23 0 7 add(P,add(eql(R,D),R)) 164146 163341250 o2(x,o2(o2(x,x),x)) true 21575 21575 0.003797 0.4974 0.9428 0.9209 0.9596 -1 1 2 1 1.952 0.001183 0.0003573 0.01113 0.536 1 -0.0000203 0.0003203 0.003858 0.001415 0.03762 3.38 0.3892 0.001673 0.0003479 1 1 0.003726 0.04331 0.2691 0.004046 0.04703 0.2922 json
t20_x23_u0_b8 20 23 0 8 add(P,add(min(R,D),R)) 164147 163341251 o2(x,o2(o2(x,x),x)) true 21583 21583 -0.02751 0.4855 0.9462 0.926 0.9623 -1 1 2 1 1.913 0.001611 0.0007668 0.01386 0.3551 1 -0.00003302 0.0005096 0.005019 0.002185 0.04675 3.372 0.3774 0.002568 0.0005503 1 1 0.005701 0.06454 0.312 0.006157 0.0697 0.3369 json
t20_x23_u0_b9 20 23 0 9 add(P,add(dot(R,D),R)) 164148 163341252 o2(x,o2(o2(x,x),x)) true 21591 21591 0.004493 0.4994 0.9406 0.9196 0.959 -1 1 2 1 1.967 0.001289 0.0005103 0.01272 0.4328 1 -0.0000383 0.0003404 0.00437 0.001636 0.04045 3.181 0.3399 0.001957 0.0003701 1 1 0.004294 0.04916 0.2691 0.00467 0.05345 0.2927 json
t20_x23_u0_b10 20 23 0 10 add(P,add(dst(R,D),R)) 164149 163341253 o2(x,o2(o2(x,x),x)) true 21599 21599 0.1369 0.5751 0.9383 0.9001 0.9488 -1 1 2 1 1.931 0.001348 0.0007011 0.0136 0.3158 1 -0.00003847 0.0003863 0.004853 0.001863 0.04317 3.174 0.3471 0.002277 0.0004291 1 1 0.004871 0.05369 0.283 0.005411 0.05965 0.3144 json
t20_x23_u0_b11 20 23 0 11 add(P,sub(add(R,D),R)) 164150 163341254 o2(x,o2(o2(x,x),x)) true 21607 21607 0 0.5 0.9375 0.9165 0.9574 -1 1 2 1 1.979 0.0004883 0 0.007937 1 1 0 0.0000155 0.000496 0.0004253 0.02062 2.598 0.0625 0.0005327 0.00001691 1 1 0.001285 0.01928 0.2245 0.001402 0.02104 0.245 json
t20_x23_u0_b12 20 23 0 12 add(P,sub(sub(R,D),R)) 164151 163341255 o2(x,o2(o2(x,x),x)) true 21615 21615 0 0.5 0.9375 0.9252 0.9619 -1 1 2 1 1.774 0.001323 0 0.01101 1 1 0 0.0002527 0.005079 0.001202 0.03468 3.15 0.1713 0.00143 0.0002731 1 1 0.003342 0.0331 0.2361 0.003612 0.03578 0.2552 json
t20_x23_u0_b13 20 23 0 13 add(P,sub(mlt(R,D),R)) 164152 163341256 o2(x,o2(o2(x,x),x)) true 21623 21623 -0.005309 0.5024 0.9357 0.9134 0.9557 -1 1 2 1 2.006 0.00126 0.0004175 0.01265 0.5023 1 0.00001961 0.000287 0.004173 0.001518 0.03896 3.079 0.3507 0.001837 0.0003142 1 1 0.004158 0.04811 0.2665 0.004553 0.05267 0.2917 json
t20_x23_u0_b14 20 23 0 14 add(P,sub(div(R,D),R)) 164153 163341257 o2(x,o2(o2(x,x),x)) true 21631 21631 0.0002891 0.5006 0.9525 0.936 0.9675 -1 1 2 1 1.814 0.3177 0.02067 0.2109 0.8778 1 -0.0006826 0.7943 0.3568 0.2941 0.5423 2.572 2.828 0.3615 0.8486 1 1 0.3376 0.7509 0.8358 0.3607 0.8022 0.8929 json
t20_x23_u0_b15 20 23 0 15 add(P,sub(pow(R,D),R)) 164154 163341258 o2(x,o2(o2(x,x),x)) true 21639 21639 -0.9804 0.009872 0.9961 0.03303 0.1817 -1 1 2 1 0.1675 0.002195 0.004093 0.004413 -0.3018 1 -1.201e-10 0.01294 0.00754 0.006269 0.07917 17.94 2.828 0.1904 0.3917 1 1 0.001219 0.007647 0.0307 0.03691 0.2316 0.9296 json
t20_x23_u0_b16 20 23 0 16 add(P,sub(mod(R,D),R)) 164155 163341259 o2(x,o2(o2(x,x),x)) true 21647 21647 -0.005065 0.5035 0.9362 0.9124 0.9552 -1 1 2 1 2.003 0.001957 0.0002789 0.01401 0.7506 1 0.00001636 0.002653 0.01418 0.002041 0.04517 3.224 0.6206 0.002451 0.002908 1 1 0.004183 0.04039 0.2517 0.004584 0.04427 0.2759 json
t20_x23_u0_b17 20 23 0 17 add(P,sub(lrg(R,D),R)) 164156 163341260 o2(x,o2(o2(x,x),x)) true 21655 21655 0.06242 0.5302 0.9414 0.9148 0.9565 -1 1 2 1 1.99 0.002525 0.0001006 0.01311 0.9234 1 0.000006791 0.003734 0.009311 0.002454 0.04954 3.778 0.9959 0.00287 0.004082 1 1 0.004837 0.03238 0.2348 0.005287 0.03539 0.2566 json
t20_x23_u0_b18 20 23 0 18 add(P,sub(eql(R,D),R)) 164157 163341261 o2(x,o2(o2(x,x),x)) true 21663 21663 -0.004572 0.5032 0.9368 0.913 0.9555 -1 1 2 1 2.013 0.001161 0.0003859 0.01162 0.5012 1 0.00002044 0.0003188 0.00399 0.001413 0.03758 3.235 0.454 0.001695 0.0003492 1 1 0.003782 0.0437 0.2628 0.004142 0.04786 0.2878 json
t20_x23_u0_b19 20 23 0 19 add(P,sub(min(R,D),R)) 164158 163341262 o2(x,o2(o2(x,x),x)) true 21671 21671 -0.0414 0.47 0.9292 0.9108 0.9544 -1 1 2 1 1.927 0.0007605 0.0001355 0.009386 0.6976 1 0.00001006 0.0001075 0.002453 0.0008076 0.02842 3.028 0.2017 0.0009837 0.000118 1 1 0.002326 0.03017 0.2379 0.002553 0.03312 0.2612 json
t20_x23_u0_b20 20 23 0 20 add(P,sub(dot(R,D),R)) 164159 163341263 o2(x,o2(o2(x,x),x)) true 21679 21679 -0.005349 0.5022 0.936 0.9137 0.9559 -1 1 2 1 2.008 0.00131 0.0005005 0.01334 0.447 1 0.0000398 0.0003241 0.004503 0.001631 0.04039 3.028 0.378 0.001981 0.0003547 1 1 0.004484 0.05144 0.2717 0.004907 0.0563 0.2973 json
t20_x23_u0_b21 20 23 0 21 add(P,sub(dst(R,D),R)) 164160 163341264 o2(x,o2(o2(x,x),x)) true 21687 21687 0.1337 0.5661 0.9316 0.8922 0.9445 -1 1 2 1 1.981 0.001261 0.0006039 0.01358 0.3524 1 -0.00001546 0.0003702 0.004672 0.00168 0.04099 3.019 0.3744 0.002091 0.000415 1 1 0.004442 0.04827 0.2509 0.004979 0.0541 0.2812 json
t20_x23_u0_b22 20 23 0 22 add(P,mlt(add(R,D),R)) 164161 163341265 o2(x,o2(o2(x,x),x)) true 21695 21695 0.04638 0.5289 0.9396 0.9167 0.9574 -1 1 2 1 1.959 0.0008792 0.0001224 0.009779 0.7556 1 0.000001767 0.0001384 0.00299 0.0009058 0.0301 3.078 0.2474 0.001093 0.000151 1 1 0.002567 0.03113 0.2444 0.002801 0.03396 0.2666 json
t20_x23_u0_b23 20 23 0 23 add(P,mlt(sub(R,D),R)) 164162 163341266 o2(x,o2(o2(x,x),x)) true 21703 21703 0.04629 0.5253 0.9389 0.9159 0.957 -1 1 2 1 1.952 0.0009 0.0001086 0.009766 0.7847 1 0.000001443 0.0001593 0.003121 0.0009132 0.03022 3.094 0.2272 0.001101 0.0001739 1 1 0.002573 0.03048 0.2421 0.00281 0.03328 0.2643 json
t20_x23_u0_b24 20 23 0 24 add(P,mlt(mlt(R,D),R)) 164163 163341267 o2(x,o2(o2(x,x),x)) true 21711 21711 -0.0003325 0.5 0.9378 0.9215 0.96 -1 1 2 1 1.894 0.0005963 0.000005752 0.007975 0.9809 1 1.456e-7 0.0000191 0.001395 0.0005383 0.0232 2.909 0.1124 0.0006533 0.00002073 1 1 0.001611 0.02279 0.234 0.001748 0.02473 0.2539 json
t20_x23_u0_b25 20 23 0 25 add(P,mlt(div(R,D),R)) 164164 163341268 o2(x,o2(o2(x,x),x)) true 21719 21719 0.000951 0.5 0.9488 0.9304 0.9646 -1 1 2 1 1.88 0.2772 0.004848 0.1773 0.9656 1 -0.0006414 0.6571 0.3028 0.2506 0.5006 2.824 2.798 0.3032 0.7063 1 1 0.2777 0.5247 0.4199 0.2985 0.5639 0.4513 json
t20_x23_u0_b26 20 23 0 26 add(P,mlt(pow(R,D),R)) 164165 163341269 o2(x,o2(o2(x,x),x)) true 21727 21727 -0.9785 0.01025 0.9944 0.03515 0.1875 -1 1 2 1 0.1794 0.002482 0.004234 0.004728 -0.2609 1 1.502e-10 0.01386 0.008322 0.006694 0.08182 17.31 2.828 0.1911 0.3944 1 1 0.001841 0.01083 0.03485 0.05238 0.308 0.9915 json
t20_x23_u0_b27 20 23 0 27 add(P,mlt(mod(R,D),R)) 164166 163341270 o2(x,o2(o2(x,x),x)) true 21735 21735 0.009985 0.5138 0.9376 0.9242 0.9614 -1 1 2 1 1.802 0.00109 0.000004005 0.009018 0.9927 1 4.697e-7 0.001075 0.00849 0.001013 0.03182 3.529 0.342 0.001184 0.001163 1 1 0.002182 0.02549 0.2356 0.002361 0.02758 0.2549 json
t20_x23_u0_b28 20 23 0 28 add(P,mlt(lrg(R,D),R)) 164167 163341271 o2(x,o2(o2(x,x),x)) true 21743 21743 0.03259 0.5148 0.9337 0.9147 0.9564 -1 1 2 1 1.936 0.001032 0.0001169 0.009662 0.7965 1 -0.00001048 0.0005234 0.004645 0.001055 0.03248 3.361 0.3452 0.001256 0.0005722 1 1 0.002698 0.02969 0.2418 0.002949 0.03246 0.2644 json
t20_x23_u0_b29 20 23 0 29 add(P,mlt(eql(R,D),R)) 164168 163341272 o2(x,o2(o2(x,x),x)) true 21751 21751 -0.00002379 0.5 0.9375 0.924 0.9612 -1 1 2 1 1.813 0.0007114 5.318e-8 0.007947 0.9999 1 -6.949e-8 0.00004792 0.001917 0.0006485 0.02547 3.205 0.3024 0.00077 0.00005187 1 1 0.001851 0.02449 0.2344 0.002003 0.02651 0.2537 json
t20_x23_u0_b30 20 23 0 30 add(P,mlt(min(R,D),R)) 164169 163341273 o2(x,o2(o2(x,x),x)) true 21759 21759 0.02194 0.5163 0.9408 0.9206 0.9595 -1 1 2 1 1.949 0.0007002 0.00009221 0.008777 0.7673 1 0.000008763 0.00005571 0.001958 0.000715 0.02674 3.046 0.2062 0.0008607 0.00006051 1 1 0.002061 0.02773 0.2423 0.002239 0.03012 0.2632 json
t20_x23_u0_b31 20 23 0 31 add(P,mlt(dot(R,D),R)) 164170 163341274 o2(x,o2(o2(x,x),x)) true 21767 21767 -0.000354 0.4989 0.9374 0.9203 0.9593 -1 1 2 1 1.922 0.0006009 0.00004801 0.008376 0.852 1 -5.309e-7 0.00003765 0.001676 0.0005788 0.02406 2.872 0.1389 0.0007051 0.00004091 1 1 0.001703 0.02369 0.2344 0.001851 0.02575 0.2547 json
t20_x23_u0_b32 20 23 0 32 add(P,mlt(dst(R,D),R)) 164171 163341275 o2(x,o2(o2(x,x),x)) true 21775 21775 0.004651 0.4985 0.9424 0.923 0.9607 -1 1 2 1 1.924 0.001512 0.0005319 0.01291 0.4795 1 -0.00002213 0.0004262 0.004771 0.001878 0.04333 3.355 0.3907 0.002214 0.0004617 1 1 0.00469 0.05184 0.2876 0.005081 0.05616 0.3116 json
t20_x23_u0_b33 20 23 0 33 add(P,div(add(R,D),R)) 164172 163341276 o2(x,o2(o2(x,x),x)) true 21783 21783 0.1093 0.5569 0.9381 0.9062 0.952 -1 1 2 1 1.957 0.01745 0.006031 0.03285 0.4863 1 6.605e-7 0.03748 0.0311 0.02241 0.1497 4.557 2.828 0.02591 0.04136 1 1 0.03176 0.1924 0.4371 0.03505 0.2123 0.4823 json
t20_x23_u0_b34 20 23 0 34 add(P,div(sub(R,D),R)) 164173 163341277 o2(x,o2(o2(x,x),x)) true 21791 21791 0.1176 0.5602 0.9399 0.909 0.9534 -1 1 2 1 1.884 0.01948 0.0065 0.03334 0.4996 1 -0.00000447 0.04147 0.0331 0.02486 0.1577 4.73 2.391 0.02858 0.04562 1 1 0.04413 0.2392 0.533 0.04855 0.2631 0.5864 json
t20_x23_u0_b35 20 23 0 35 add(P,div(mlt(R,D),R)) 164174 163341278 o2(x,o2(o2(x,x),x)) true 21799 21799 0 0.5 0.9375 0.9165 0.9574 -1 1 2 1 1.979 0.0004883 2.067e-18 0.007937 1 1 5.256e-11 0.0000155 0.000496 0.0004253 0.02062 2.598 0.0625 0.0005327 0.00001691 1 1 0.001285 0.01928 0.2245 0.001402 0.02104 0.2449 json
t20_x23_u0_b36 20 23 0 36 add(P,div(div(R,D),R)) 164175 163341279 o2(x,o2(o2(x,x),x)) true 21807 21807 -1.455e-11 0.5 0.9531 0.9397 0.9694 -1 1 2 1 1.646 0.3728 3.3e-17 0.2381 1 1 0 0.6597 0.3886 0.3161 0.5622 2.361 2 0.3967 0.702 1 1 0.4169 1.085 0.1588 0.4436 1.154 0.1689 json
t20_x23_u0_b37 20 23 0 37 add(P,div(pow(R,D),R)) 164176 163341280 o2(x,o2(o2(x,x),x)) true 21815 21815 -0.9587 0.021 0.9936 0.07297 0.2701 -1 1 2 1 0.2415 0.007637 0.007908 0.01037 -0.01748 1 4.505e-11 0.03093 0.0176 0.01544 0.1243 11.98 2.828 0.213 0.4239 1 1 0.009031 0.04096 0.1085 0.1238 0.5613 1.487 json
t20_x23_u0_b38 20 23 0 38 add(P,div(mod(R,D),R)) 164177 163341281 o2(x,o2(o2(x,x),x)) true 21823 21823 0.04313 0.5352 0.9323 0.9135 0.9558 -1 1 2 1 1.911 0.004746 0.00007552 0.01871 0.9687 1 4.107e-7 0.009722 0.02605 0.004471 0.06687 3.573 0.8485 0.005278 0.01064 1 1 0.006893 0.03707 0.2262 0.007546 0.04058 0.2477 json
t20_x23_u0_b39 20 23 0 39 add(P,div(lrg(R,D),R)) 164178 163341282 o2(x,o2(o2(x,x),x)) true 21831 21831 0.08052 0.543 0.9334 0.9092 0.9535 -1 1 2 1 1.926 0.04009 0.01081 0.05083 0.5754 1 0.0001847 0.09132 0.06367 0.04833 0.2198 4.325 2.828 0.05598 0.1004 1 1 0.06554 0.3153 0.6125 0.07208 0.3467 0.6737 json
t20_x23_u0_b40 20 23 0 40 add(P,div(eql(R,D),R)) 164179 163341283 o2(x,o2(o2(x,x),x)) true 21839 21839 -0.0000675 0.4999 0.9375 0.924 0.9612 -1 1 2 1 1.813 0.0007482 4.28e-7 0.008009 0.9989 1 -1.972e-7 0.0001575 0.002052 0.0006849 0.02617 3.268 0.6499 0.0008102 0.0001705 1 1 0.001851 0.02449 0.2344 0.002003 0.02651 0.2537 json
t20_x23_u0_b41 20 23 0 41 add(P,div(min(R,D),R)) 164180 163341284 o2(x,o2(o2(x,x),x)) true 21847 21847 0.06818 0.5316 0.9417 0.9173 0.9578 -1 1 2 1 1.948 0.007513 0.002958 0.02033 0.4351 1 0.00001676 0.01501 0.01551 0.01007 0.1003 4.935 2.297 0.01141 0.01636 1 1 0.02115 0.1275 0.3924 0.02306 0.139 0.4278 json
t20_x23_u0_b42 20 23 0 42 add(P,div(dot(R,D),R)) 164181 163341285 o2(x,o2(o2(x,x),x)) true 21855 21855 0.005294 0.5019 0.9353 0.9146 0.9563 -1 1 2 1 1.974 0.005201 0.01277 0.02403 -0.4212 1 -0.0001227 0.03034 0.02297 0.01739 0.1319 5.487 2.447 0.01965 0.03317 1 1 0.02637 0.1461 0.4147 0.02884 0.1598 0.4534 json
t20_x23_u0_b43 20 23 0 43 add(P,div(dst(R,D),R)) 164182 163341286 o2(x,o2(o2(x,x),x)) true 21863 21863 -0.05184 0.4761 0.9323 0.9066 0.9522 -1 1 2 1 2.037 0.02013 0.02373 0.05967 -0.08223 1 0.0002403 0.06068 0.05514 0.0403 0.2007 3.364 2.828 0.04837 0.06693 1 1 0.06582 0.4275 0.9697 0.07259 0.4715 1.07 json
t20_x23_u0_b44 20 23 0 44 add(P,pow(add(R,D),R)) 164183 163341287 o2(x,o2(o2(x,x),x)) true 21871 21871 -0.9275 0.0358 0.9944 0.1318 0.363 -1 1 2 1 0.3272 0.0456 0.0115 0.03085 0.5971 1 0.0005039 0.1241 0.06059 0.05617 0.237 7.682 2.828 0.4333 0.9417 1 1 0.05393 0.1731 0.2848 0.4092 1.313 2.161 json
t20_x23_u0_b45 20 23 0 45 add(P,pow(sub(R,D),R)) 164184 163341288 o2(x,o2(o2(x,x),x)) true 21879 21879 -0.9311 0.03442 0.9951 0.1263 0.3554 -1 1 2 1 0.2991 0.04213 0.01178 0.02886 0.5628 1 0 0.1186 0.05764 0.05306 0.2303 7.981 2.828 0.4268 0.939 1 1 0.05631 0.1875 0.3028 0.4457 1.484 2.397 json
t20_x23_u0_b46 20 23 0 46 add(P,pow(mlt(R,D),R)) 164185 163341289 o2(x,o2(o2(x,x),x)) true 21887 21887 -0.9526 0.02345 0.9969 0.08844 0.2974 -1 1 2 1 0.2217 0.01427 0.008565 0.01309 0.2498 1 0 0.0479 0.02378 0.02266 0.1505 11.5 2.828 0.2582 0.5416 1 1 0.02823 0.1079 0.2257 0.3191 1.22 2.552 json
t20_x23_u0_b47 20 23 0 47 add(P,pow(div(R,D),R)) 164186 163341290 o2(x,o2(o2(x,x),x)) true 21895 21895 -0.955 0.02434 0.996 0.08239 0.287 -1 1 2 1 0.2171 0.01372 0.007837 0.01212 0.2729 1 1.201e-10 0.0466 0.02303 0.02141 0.1463 12.07 2.828 0.2617 0.5656 1 1 0.02284 0.08696 0.211 0.2772 1.055 2.562 json
t20_x23_u0_b48 20 23 0 48 add(P,pow(pow(R,D),R)) 164187 163341291 o2(x,o2(o2(x,x),x)) true 21903 21903 -0.9745 0.01239 0.9942 0.04338 0.2083 -1 1 2 1 0.1835 0.002854 0.00524 0.005411 -0.2948 1 -1.802e-10 0.01668 0.009571 0.008064 0.0898 16.59 2.828 0.1866 0.3844 1 1 0.00291 0.01641 0.04779 0.06708 0.3782 1.101 json
t20_x23_u0_b49 20 23 0 49 add(P,pow(mod(R,D),R)) 164188 163341292 o2(x,o2(o2(x,x),x)) true 21911 21911 -0.9818 0.009598 0.9964 0.03116 0.1765 -1 1 2 1 0.1574 0.002164 0.003816 0.004205 -0.2762 1 -9.011e-11 0.01244 0.007614 0.005964 0.07722 18.36 2.828 0.1919 0.3994 1 1 0.0008658 0.00593 0.0279 0.02779 0.1903 0.8955 json
t20_x23_u0_b50 20 23 0 50 add(P,pow(lrg(R,D),R)) 164189 163341293 o2(x,o2(o2(x,x),x)) true 21919 21919 -0.8267 0.08647 0.9914 0.3062 0.5534 -1 1 2 1 0.5671 0.05774 0.0332 0.04759 0.2698 1 6.369e-7 0.1968 0.09427 0.08872 0.2979 6.258 2.828 0.297 0.6428 1 1 0.08966 0.3269 0.6485 0.2928 1.068 2.118 json
t20_x23_u0_b51 20 23 0 51 add(P,pow(eql(R,D),R)) 164190 163341294 o2(x,o2(o2(x,x),x)) true 21927 21927 -0.8672 0.06641 0.9961 0.2432 0.4931 -1 1 2 1 0.4225 0.03028 0.03113 0.03117 -0.01391 1 3.754e-12 0.1303 0.06208 0.06044 0.2459 7.887 2.828 0.2525 0.5359 1 1 0.05907 0.2433 0.4885 0.2429 1 2.009 json
t20_x23_u0_b52 20 23 0 52 add(P,pow(min(R,D),R)) 164191 163341295 o2(x,o2(o2(x,x),x)) true 21935 21935 -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_x23_u0_b53 20 23 0 53 add(P,pow(dot(R,D),R)) 164192 163341296 o2(x,o2(o2(x,x),x)) true 21943 21943 -0.9055 0.04733 0.9967 0.1755 0.4189 -1 1 2 1 0.3499 0.05377 0.04801 0.04975 0.05658 1 -0.0002117 0.3301 0.1047 0.09928 0.3151 6.333 2.828 0.5801 1.881 1 1 0.09913 0.2865 0.4023 0.565 1.633 2.293 json
t20_x23_u0_b54 20 23 0 54 add(P,pow(dst(R,D),R)) 164193 163341297 o2(x,o2(o2(x,x),x)) true 21951 21951 0.129 0.569 0.9366 0.9022 0.9498 -1 1 2 1 1.938 0.0009142 0.00007561 0.009685 0.8472 1 0.000004589 0.000137 0.003312 0.0008964 0.02994 3.091 0.2148 0.001097 0.0001519 1 1 0.002482 0.02787 0.2306 0.002751 0.03089 0.2556 json
t20_x23_u0_b55 20 23 0 55 add(P,mod(add(R,D),R)) 164194 163341298 o2(x,o2(o2(x,x),x)) true 21959 21959 0.001836 0.4964 0.9406 0.9207 0.9595 -1 1 2 1 1.938 0.003715 0.00009954 0.01677 0.9478 1 -0.000009594 0.006038 0.01372 0.003531 0.05942 3.544 0.8898 0.004143 0.006558 1 1 0.005726 0.03503 0.2414 0.006219 0.03804 0.2622 json
t20_x23_u0_b56 20 23 0 56 add(P,mod(sub(R,D),R)) 164195 163341299 o2(x,o2(o2(x,x),x)) true 21967 21967 0.001917 0.4976 0.9393 0.9203 0.9593 -1 1 2 1 1.926 0.003046 0.00009746 0.01227 0.938 1 -0.00000916 0.005729 0.01345 0.002994 0.05472 4.459 0.8909 0.003416 0.006225 1 1 0.004369 0.02911 0.241 0.004747 0.03163 0.2618 json
t20_x23_u0_b57 20 23 0 57 add(P,mod(mlt(R,D),R)) 164196 163341300 o2(x,o2(o2(x,x),x)) true 21975 21975 -0.0008696 0.4994 0.9335 0.9194 0.9588 -1 1 2 1 1.854 0.0008079 0.00003104 0.008944 0.926 1 -2.485e-7 0.00005599 0.002301 0.000759 0.02755 3.08 0.1653 0.0009125 0.0000609 1 1 0.00218 0.02784 0.2341 0.002372 0.03029 0.2546 json
t20_x23_u0_b58 20 23 0 58 add(P,mod(div(R,D),R)) 164197 163341301 o2(x,o2(o2(x,x),x)) true 21983 21983 -0.001198 0.4998 0.9355 0.9146 0.9563 -1 1 2 1 1.955 0.007591 0.0001433 0.02222 0.9629 1 -9.126e-7 0.01857 0.034 0.007237 0.08507 3.828 1.905 0.008457 0.0203 1 1 0.008437 0.03904 0.2418 0.009225 0.04268 0.2644 json
t20_x23_u0_b59 20 23 0 59 add(P,mod(pow(R,D),R)) 164198 163341302 o2(x,o2(o2(x,x),x)) true 21991 21991 -0.9826 0.009155 0.9962 0.02942 0.1715 -1 1 2 1 0.1503 0.00212 0.003585 0.003833 -0.2569 1 -9.011e-11 0.01187 0.006984 0.005688 0.07542 19.68 2.828 0.1939 0.4034 1 1 0.0009139 0.00602 0.02622 0.03107 0.2047 0.8912 json
t20_x23_u0_b60 20 23 0 60 add(P,mod(mod(R,D),R)) 164199 163341303 o2(x,o2(o2(x,x),x)) true 21999 21999 0.0006714 0.4993 0.9384 0.9247 0.9616 -1 1 2 1 1.829 0.001515 0.00001883 0.01033 0.9755 1 -0.000003763 0.002169 0.01205 0.001427 0.03778 3.659 0.5032 0.001659 0.002345 1 1 0.002662 0.02622 0.2369 0.002879 0.02835 0.2562 json