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_x61_u0_b23 20 61 0 23 add(R,mlt(sub(P,R),D)) 171800 164876504 o2(x,o2(o2(x,x),x)) true 82807 82807 -0.1185 0.4188 0.5212 0.3611 0.6009 -1 1 2 1 4.845 0.03125 0.002952 0.1445 0.8274 1 0.001821 0.008071 0.05997 0.01333 0.1155 0.7992 0.5542 0.09473 0.02235 1 1 0.04515 0.376 0.378 0.1251 1.041 1.047 json
t20_x61_u0_b24 20 61 0 24 add(R,mlt(mlt(P,R),D)) 171801 164876505 o2(x,o2(o2(x,x),x)) true 82815 82815 -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_x61_u0_b25 20 61 0 25 add(R,mlt(div(P,R),D)) 171802 164876506 o2(x,o2(o2(x,x),x)) true 82823 82823 0.01031 0.5067 0.7716 0.699 0.8361 -1 1 2 1 3.558 0.09343 0.03008 0.1671 0.5129 1 0.000693 0.1651 0.1564 0.09556 0.3091 1.85 2.828 0.1767 0.2362 1 1 0.1394 0.8649 1.3 0.1993 1.237 1.86 json
t20_x61_u0_b26 20 61 0 26 add(R,mlt(pow(P,R),D)) 171803 164876507 o2(x,o2(o2(x,x),x)) true 82831 82831 -0.5707 0.1857 0.7352 0.3356 0.5793 -1 1 2 1 3.148 0.01176 0.003971 0.046 0.4951 1 0.0003741 0.02191 0.02609 0.01362 0.1167 2.537 2.541 0.04688 0.0653 1 1 0.02223 0.1443 0.3185 0.06624 0.4301 0.9491 json
t20_x61_u0_b27 20 61 0 27 add(R,mlt(mod(P,R),D)) 171804 164876508 o2(x,o2(o2(x,x),x)) true 82839 82839 0.004447 0.4953 0.3934 0.2195 0.4685 -1 0.9864 1.986 1 4.871 0.002983 0.003167 0.06478 -0.0298 1 0.0001183 0.0003753 0.01491 0.001954 0.0442 0.6824 0.2276 0.02802 0.00171 1 1 0.01222 0.1555 0.3944 0.05569 0.7087 1.797 json
t20_x61_u0_b28 20 61 0 28 add(R,mlt(lrg(P,R),D)) 171805 164876509 o2(x,o2(o2(x,x),x)) true 82847 82847 0.0001613 0.4945 0.3986 0.2257 0.4751 -1 1 2 1 4.887 0.003659 0.00317 0.06942 0.07157 1 0.0001836 0.0004854 0.01677 0.00201 0.04483 0.6458 0.2511 0.03025 0.002151 1 1 0.01359 0.1652 0.3954 0.06021 0.7321 1.752 json
t20_x61_u0_b29 20 61 0 29 add(R,mlt(eql(P,R),D)) 171806 164876510 o2(x,o2(o2(x,x),x)) true 82855 82855 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_x61_u0_b30 20 61 0 30 add(R,mlt(min(P,R),D)) 171807 164876511 o2(x,o2(o2(x,x),x)) true 82863 82863 -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_x61_u0_b31 20 61 0 31 add(R,mlt(dot(P,R),D)) 171808 164876512 o2(x,o2(o2(x,x),x)) true 82871 82871 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_x61_u0_b32 20 61 0 32 add(R,mlt(dst(P,R),D)) 171809 164876513 o2(x,o2(o2(x,x),x)) true 82879 82879 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_x61_u0_b33 20 61 0 33 add(R,div(add(P,R),D)) 171810 164876514 o2(x,o2(o2(x,x),x)) true 82887 82887 -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_x61_u0_b34 20 61 0 34 add(R,div(sub(P,R),D)) 171811 164876515 o2(x,o2(o2(x,x),x)) true 82895 82895 -0.1035 0.4487 0.9613 0.9381 0.9685 -1 1 2 1 1.647 0.4052 0.002622 0.2424 0.9871 1 -0.00003578 0.759 0.4233 0.349 0.5907 2.437 2.828 0.4348 0.8091 1 1 0.4276 1.744 0.4266 0.4559 1.859 0.4547 json
t20_x61_u0_b35 20 61 0 35 add(R,div(mlt(P,R),D)) 171812 164876516 o2(x,o2(o2(x,x),x)) true 82903 82903 -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_x61_u0_b36 20 61 0 36 add(R,div(div(P,R),D)) 171813 164876517 o2(x,o2(o2(x,x),x)) true 82911 82911 -0.00697 0.4957 0.9662 0.954 0.9767 -1 1 2 1 1.601 0.3229 0.1064 0.2307 0.5043 1 0.00004767 0.9739 0.44 0.3758 0.613 2.657 2.828 0.45 1.021 1 1 0.4404 1.697 1.966 0.4616 1.778 2.06 json
t20_x61_u0_b37 20 61 0 37 add(R,div(pow(P,R),D)) 171814 164876518 o2(x,o2(o2(x,x),x)) true 82919 82919 -0.579 0.2103 0.9552 0.6052 0.778 -1 1 2 1 1.457 0.1538 0.00332 0.1169 0.9577 1 -0.000004782 0.2687 0.167 0.1434 0.3787 3.238 2.187 0.2595 0.4439 1 1 0.1832 0.7602 0.2662 0.3026 1.256 0.4399 json
t20_x61_u0_b38 20 61 0 38 add(R,div(mod(P,R),D)) 171815 164876519 o2(x,o2(o2(x,x),x)) true 82927 82927 -0.03816 0.4789 0.6158 0.5093 0.7137 -1 1 2 1 4.306 0.2455 0.003391 0.2351 0.9728 1 -0.0009788 0.4938 0.2902 0.1937 0.4401 1.872 2.05 0.4888 0.9695 1 1 0.2496 0.7423 0.3978 0.4901 1.457 0.7811 json
t20_x61_u0_b39 20 61 0 39 add(R,div(lrg(P,R),D)) 171816 164876520 o2(x,o2(o2(x,x),x)) true 82935 82935 -0.0116 0.504 0.6647 0.5646 0.7514 -1 1 2 1 4.151 0.163 0.002228 0.1567 0.973 1 0.00003419 0.268 0.1771 0.1407 0.3751 2.394 2.087 0.2927 0.4747 1 1 0.2048 0.98 0.3196 0.3627 1.736 0.5661 json
t20_x61_u0_b40 20 61 0 40 add(R,div(eql(P,R),D)) 171817 164876521 o2(x,o2(o2(x,x),x)) true 82943 82943 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_x61_u0_b41 20 61 0 41 add(R,div(min(P,R),D)) 171818 164876522 o2(x,o2(o2(x,x),x)) true 82951 82951 -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_x61_u0_b42 20 61 0 42 add(R,div(dot(P,R),D)) 171819 164876523 o2(x,o2(o2(x,x),x)) true 82959 82959 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_x61_u0_b43 20 61 0 43 add(R,div(dst(P,R),D)) 171820 164876524 o2(x,o2(o2(x,x),x)) true 82967 82967 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_x61_u0_b44 20 61 0 44 add(R,pow(add(P,R),D)) 171821 164876525 o2(x,o2(o2(x,x),x)) true 82975 82975 -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_x61_u0_b45 20 61 0 45 add(R,pow(sub(P,R),D)) 171822 164876526 o2(x,o2(o2(x,x),x)) true 82983 82983 -0.159 0.4572 0.9195 0.8574 0.926 -1 1 2 1 2.189 0.01327 0.002633 0.02785 0.6689 1 -0.00002586 0.0284 0.02523 0.01513 0.123 4.417 2.828 0.01855 0.03312 1 1 0.0233 0.1161 0.3741 0.02717 0.1354 0.4363 json
t20_x61_u0_b46 20 61 0 46 add(R,pow(mlt(P,R),D)) 171823 164876527 o2(x,o2(o2(x,x),x)) true 82991 82991 -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_x61_u0_b47 20 61 0 47 add(R,pow(div(P,R),D)) 171824 164876528 o2(x,o2(o2(x,x),x)) true 82999 82999 -0.9053 0.05272 0.9826 0.1558 0.3948 -1 1 2 1 0.5361 0.01579 0.01281 0.02022 0.1039 1 -3.823e-8 0.05848 0.0346 0.02819 0.1679 8.303 2.828 0.1835 0.3753 1 1 0.0267 0.1226 0.3076 0.1713 0.7868 1.974 json
t20_x61_u0_b48 20 61 0 48 add(R,pow(pow(P,R),D)) 171825 164876529 o2(x,o2(o2(x,x),x)) true 83007 83007 -0.1775 0.4499 0.9165 0.844 0.9187 -1 1 2 1 2.253 0.01391 0.005198 0.02634 0.456 1 -0.0001685 0.03655 0.02612 0.01841 0.1357 5.152 2.828 0.02264 0.04331 1 1 0.02645 0.1232 0.3998 0.03134 0.146 0.4737 json
t20_x61_u0_b49 20 61 0 49 add(R,pow(mod(P,R),D)) 171826 164876530 o2(x,o2(o2(x,x),x)) true 83015 83015 -0.08396 0.4892 0.9242 0.8851 0.9408 -1 1 2 1 2.164 0.008116 0.0008886 0.02693 0.8026 1 -0.0001447 0.01159 0.02191 0.008283 0.09101 3.379 2 0.01017 0.0131 1 1 0.01514 0.09846 0.3568 0.0171 0.1112 0.4031 json
t20_x61_u0_b50 20 61 0 50 add(R,pow(lrg(P,R),D)) 171827 164876531 o2(x,o2(o2(x,x),x)) true 83023 83023 -0.05525 0.5298 0.8772 0.8201 0.9056 -1 1 2 1 2.63 0.01003 0.005876 0.02655 0.2614 1 -0.00004441 0.03048 0.0246 0.01522 0.1234 4.646 2.258 0.0194 0.03717 1 1 0.02471 0.1178 0.3956 0.03013 0.1437 0.4823 json
t20_x61_u0_b51 20 61 0 51 add(R,pow(eql(P,R),D)) 171828 164876532 o2(x,o2(o2(x,x),x)) true 83031 83031 -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_x61_u0_b52 20 61 0 52 add(R,pow(min(P,R),D)) 171829 164876533 o2(x,o2(o2(x,x),x)) true 83039 83039 -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_x61_u0_b53 20 61 0 53 add(R,pow(dot(P,R),D)) 171830 164876534 o2(x,o2(o2(x,x),x)) true 83047 83047 -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_x61_u0_b54 20 61 0 54 add(R,pow(dst(P,R),D)) 171831 164876535 o2(x,o2(o2(x,x),x)) true 83055 83055 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_x61_u0_b55 20 61 0 55 add(R,mod(add(P,R),D)) 171832 164876536 o2(x,o2(o2(x,x),x)) true 83063 83063 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_x61_u0_b56 20 61 0 56 add(R,mod(sub(P,R),D)) 171833 164876537 o2(x,o2(o2(x,x),x)) true 83071 83071 0.008367 0.5036 0.402 0.233 0.4827 -1 1 2 1 4.901 0.01127 0.003148 0.09766 0.5632 1 -0.000007508 0.02294 0.1113 0.00488 0.06986 0.7153 0.5833 0.06186 0.09844 1 1 0.01777 0.1655 0.3907 0.07625 0.7101 1.676 json
t20_x61_u0_b57 20 61 0 57 add(R,mod(mlt(P,R),D)) 171834 164876538 o2(x,o2(o2(x,x),x)) true 83079 83079 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_x61_u0_b58 20 61 0 58 add(R,mod(div(P,R),D)) 171835 164876539 o2(x,o2(o2(x,x),x)) true 83087 83087 0.003517 0.5053 0.3957 0.2271 0.4766 -1 1 2 1 4.891 0.01021 0.00332 0.0936 0.5093 1 0.0001309 0.02121 0.1063 0.004771 0.06908 0.738 0.5104 0.05958 0.0934 1 1 0.01651 0.1676 0.4117 0.0727 0.7378 1.812 json
t20_x61_u0_b59 20 61 0 59 add(R,mod(pow(P,R),D)) 171836 164876540 o2(x,o2(o2(x,x),x)) true 83095 83095 -0.4868 0.2681 0.7297 0.4178 0.6464 -1 1 2 1 3.182 0.01288 0.004488 0.05088 0.4833 1 -0.0001062 0.03223 0.06409 0.01478 0.1216 2.389 2.541 0.04158 0.07715 1 1 0.02214 0.1311 0.3481 0.05299 0.3138 0.8331 json
t20_x61_u0_b60 20 61 0 60 add(R,mod(mod(P,R),D)) 171837 164876541 o2(x,o2(o2(x,x),x)) true 83103 83103 0.01174 0.5074 0.3955 0.225 0.4743 -1 1 2 1 4.885 0.005961 0.003088 0.07709 0.3176 1 0.00001886 0.007644 0.05467 0.003106 0.05573 0.723 0.444 0.04022 0.03398 1 1 0.01416 0.1554 0.3908 0.06293 0.6909 1.737 json
t20_x61_u0_b61 20 61 0 61 add(R,mod(lrg(P,R),D)) 171838 164876542 o2(x,o2(o2(x,x),x)) true 83111 83111 0.08782 0.5649 0.402 0.2235 0.4727 -0.9989 1 1.999 1 4.872 0.00515 0.003139 0.07429 0.2427 1 0.00001508 0.005049 0.04545 0.002769 0.05262 0.7083 0.3884 0.03709 0.02259 1 1 0.01405 0.1601 0.386 0.06289 0.7165 1.727 json
t20_x61_u0_b62 20 61 0 62 add(R,mod(eql(P,R),D)) 171839 164876543 o2(x,o2(o2(x,x),x)) true 83119 83119 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_x61_u0_b63 20 61 0 63 add(R,mod(min(P,R),D)) 171840 164876544 o2(x,o2(o2(x,x),x)) true 83127 83127 -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_x61_u0_b64 20 61 0 64 add(R,mod(dot(P,R),D)) 171841 164876545 o2(x,o2(o2(x,x),x)) true 83135 83135 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_x61_u0_b65 20 61 0 65 add(R,mod(dst(P,R),D)) 171842 164876546 o2(x,o2(o2(x,x),x)) true 83143 83143 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_x61_u0_b66 20 61 0 66 add(R,lrg(add(P,R),D)) 171843 164876547 o2(x,o2(o2(x,x),x)) true 83151 83151 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_x61_u0_b67 20 61 0 67 add(R,lrg(sub(P,R),D)) 171844 164876548 o2(x,o2(o2(x,x),x)) true 83159 83159 0.4277 0.7856 0.5887 0.2676 0.5173 -0.9986 1 1.999 1 4.403 0.002921 0.002306 0.04932 0.1175 1 -0.000007028 0.002692 0.01804 0.002794 0.05286 1.072 0.9697 0.01953 0.01006 1 1 0.008993 0.09779 0.2651 0.0336 0.3654 0.9906 json
t20_x61_u0_b68 20 61 0 68 add(R,lrg(mlt(P,R),D)) 171845 164876549 o2(x,o2(o2(x,x),x)) true 83167 83167 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_x61_u0_b69 20 61 0 69 add(R,lrg(div(P,R),D)) 171846 164876550 o2(x,o2(o2(x,x),x)) true 83175 83175 0.4151 0.8027 0.5754 0.2472 0.4972 -0.9983 1 1.998 1 4.493 0.00679 0.004336 0.06287 0.2206 1 -0.00007426 0.006948 0.02381 0.007175 0.0847 1.347 1.013 0.045 0.0281 1 1 0.01943 0.1915 0.4171 0.07857 0.7745 1.687 json
t20_x61_u0_b70 20 61 0 70 add(R,lrg(pow(P,R),D)) 171847 164876551 o2(x,o2(o2(x,x),x)) true 83183 83183 0.7826 0.9843 0.7931 0.08937 0.2989 -0.941 1 1.941 1 2.916 0.004843 0.001704 0.0399 0.4795 1 -0.00003393 0.008096 0.02476 0.004953 0.07038 1.764 0.9674 0.07326 0.09059 1 1 0.007574 0.06107 0.1354 0.08474 0.6834 1.515 json
t20_x61_u0_b71 20 61 0 71 add(R,lrg(mod(P,R),D)) 171848 164876552 o2(x,o2(o2(x,x),x)) true 83191 83191 0.4486 0.8183 0.5775 0.2373 0.4872 -0.9986 1 1.999 1 4.379 0.03228 0.002891 0.1033 0.8356 1 -0.00006051 0.05706 0.09643 0.02451 0.1565 1.516 1.012 0.1482 0.2404 1 1 0.04202 0.2256 0.3406 0.1771 0.9507 1.435 json
t20_x61_u0_b72 20 61 0 72 add(R,lrg(lrg(P,R),D)) 171849 164876553 o2(x,o2(o2(x,x),x)) true 83199 83199 0.6212 0.9077 0.6834 0.181 0.4254 -0.9986 1 1.999 1 3.77 0.02276 0.002006 0.07146 0.838 1 -0.0001142 0.03971 0.05946 0.01966 0.1402 1.962 1.023 0.1369 0.2195 1 1 0.02932 0.1543 0.2046 0.162 0.8529 1.131 json
t20_x61_u0_b73 20 61 0 73 add(R,lrg(eql(P,R),D)) 171850 164876554 o2(x,o2(o2(x,x),x)) true 83207 83207 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_x61_u0_b74 20 61 0 74 add(R,lrg(min(P,R),D)) 171851 164876555 o2(x,o2(o2(x,x),x)) true 83215 83215 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_x61_u0_b75 20 61 0 75 add(R,lrg(dot(P,R),D)) 171852 164876556 o2(x,o2(o2(x,x),x)) true 83223 83223 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_x61_u0_b76 20 61 0 76 add(R,lrg(dst(P,R),D)) 171853 164876557 o2(x,o2(o2(x,x),x)) true 83231 83231 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_x61_u0_b77 20 61 0 77 add(R,eql(add(P,R),D)) 171854 164876558 o2(x,o2(o2(x,x),x)) true 83239 83239 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_x61_u0_b78 20 61 0 78 add(R,eql(sub(P,R),D)) 171855 164876559 o2(x,o2(o2(x,x),x)) true 83247 83247 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_x61_u0_b79 20 61 0 79 add(R,eql(mlt(P,R),D)) 171856 164876560 o2(x,o2(o2(x,x),x)) true 83255 83255 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_x61_u0_b80 20 61 0 80 add(R,eql(div(P,R),D)) 171857 164876561 o2(x,o2(o2(x,x),x)) true 83263 83263 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_x61_u0_b81 20 61 0 81 add(R,eql(pow(P,R),D)) 171858 164876562 o2(x,o2(o2(x,x),x)) true 83271 83271 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_x61_u0_b82 20 61 0 82 add(R,eql(mod(P,R),D)) 171859 164876563 o2(x,o2(o2(x,x),x)) true 83279 83279 0.009276 0.4984 0.3949 0.2199 0.4689 -0.9989 1 1.999 1 4.863 0.003174 0.00317 0.0637 0.0006342 1 0.00002675 0.001435 0.0156 0.002287 0.04782 0.7508 0.8713 0.02886 0.006527 1 1 0.01182 0.1519 0.3914 0.05377 0.6908 1.78 json
t20_x61_u0_b83 20 61 0 83 add(R,eql(lrg(P,R),D)) 171860 164876564 o2(x,o2(o2(x,x),x)) true 83287 83287 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_x61_u0_b84 20 61 0 84 add(R,eql(eql(P,R),D)) 171861 164876565 o2(x,o2(o2(x,x),x)) true 83295 83295 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_x61_u0_b85 20 61 0 85 add(R,eql(min(P,R),D)) 171862 164876566 o2(x,o2(o2(x,x),x)) true 83303 83303 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_x61_u0_b86 20 61 0 86 add(R,eql(dot(P,R),D)) 171863 164876567 o2(x,o2(o2(x,x),x)) true 83311 83311 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_x61_u0_b87 20 61 0 87 add(R,eql(dst(P,R),D)) 171864 164876568 o2(x,o2(o2(x,x),x)) true 83319 83319 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_x61_u0_b88 20 61 0 88 add(R,min(add(P,R),D)) 171865 164876569 o2(x,o2(o2(x,x),x)) true 83327 83327 -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_x61_u0_b89 20 61 0 89 add(R,min(sub(P,R),D)) 171866 164876570 o2(x,o2(o2(x,x),x)) true 83335 83335 -0.5049 0.2197 0.6746 0.33 0.5745 -1 1 2 1 3.52 0.002449 0.001448 0.04007 0.2566 1 0.0001566 0.0003171 0.01004 0.00229 0.04786 1.194 0.266 0.01181 0.0009609 1 1 0.007771 0.09233 0.2629 0.02354 0.2798 0.7965 json
t20_x61_u0_b90 20 61 0 90 add(R,min(mlt(P,R),D)) 171867 164876571 o2(x,o2(o2(x,x),x)) true 83343 83343 -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_x61_u0_b91 20 61 0 91 add(R,min(div(P,R),D)) 171868 164876572 o2(x,o2(o2(x,x),x)) true 83351 83351 -0.7435 0.1028 0.8324 0.2214 0.4706 -1 1 2 1 2.407 0.01002 0.01009 0.05636 -0.003681 1 0.0003527 0.01573 0.04158 0.01693 0.1301 2.308 1.523 0.09079 0.07104 1 1 0.03311 0.2279 0.4375 0.1495 1.029 1.976 json
t20_x61_u0_b92 20 61 0 92 add(R,min(pow(P,R),D)) 171869 164876573 o2(x,o2(o2(x,x),x)) true 83359 83359 0.001952 0.4943 0.4009 0.2308 0.4804 -1 1 2 1 4.899 0.004486 0.003165 0.0755 0.1727 1 0.00004368 0.0006408 0.01962 0.00195 0.04416 0.585 0.2845 0.03315 0.002777 1 1 0.01499 0.1733 0.3868 0.06497 0.751 1.676 json
t20_x61_u0_b93 20 61 0 93 add(R,min(mod(P,R),D)) 171870 164876574 o2(x,o2(o2(x,x),x)) true 83367 83367 -0.1605 0.3826 0.4092 0.2217 0.4708 -1 1 2 1 4.809 0.004235 0.003029 0.07089 0.166 1 0.0002979 0.0007076 0.01953 0.002239 0.04732 0.6676 0.289 0.03277 0.003192 1 1 0.01435 0.1661 0.3857 0.06472 0.7493 1.74 json
t20_x61_u0_b94 20 61 0 94 add(R,min(lrg(P,R),D)) 171871 164876575 o2(x,o2(o2(x,x),x)) true 83375 83375 -0.0655 0.446 0.4014 0.2266 0.476 -1 1 2 1 4.878 0.004328 0.003129 0.07422 0.1608 1 0.0002617 0.0006228 0.01943 0.001949 0.04414 0.5948 0.2626 0.03291 0.002749 1 1 0.0147 0.1705 0.3853 0.06486 0.7524 1.7 json
t20_x61_u0_b95 20 61 0 95 add(R,min(eql(P,R),D)) 171872 164876576 o2(x,o2(o2(x,x),x)) true 83383 83383 -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_x61_u0_b96 20 61 0 96 add(R,min(min(P,R),D)) 171873 164876577 o2(x,o2(o2(x,x),x)) true 83391 83391 -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_x61_u0_b97 20 61 0 97 add(R,min(dot(P,R),D)) 171874 164876578 o2(x,o2(o2(x,x),x)) true 83399 83399 -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_x61_u0_b98 20 61 0 98 add(R,min(dst(P,R),D)) 171875 164876579 o2(x,o2(o2(x,x),x)) true 83407 83407 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_x61_u0_b99 20 61 0 99 add(R,dot(add(P,R),D)) 171876 164876580 o2(x,o2(o2(x,x),x)) true 83415 83415 -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_x61_u0_b100 20 61 0 100 add(R,dot(sub(P,R),D)) 171877 164876581 o2(x,o2(o2(x,x),x)) true 83423 83423 -0.2069 0.3757 0.5983 0.4306 0.6562 -1 1 2 1 4.544 0.02703 0.02726 0.1816 -0.004365 1 0.00277 0.01813 0.08311 0.0213 0.146 0.8036 0.7184 0.1261 0.04209 1 1 0.07064 0.5335 0.3618 0.1641 1.239 0.8402 json
t20_x61_u0_b101 20 61 0 101 add(R,dot(mlt(P,R),D)) 171878 164876582 o2(x,o2(o2(x,x),x)) true 83431 83431 -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_x61_u0_b102 20 61 0 102 add(R,dot(div(P,R),D)) 171879 164876583 o2(x,o2(o2(x,x),x)) true 83439 83439 0.00564 0.5026 0.8909 0.8552 0.9248 -1 1 2 1 2.51 0.09766 0.09352 0.183 0.02168 1 0.000722 0.3268 0.2252 0.1577 0.3971 2.17 2.828 0.2235 0.3821 1 1 0.2262 1.189 1.609 0.2645 1.391 1.881 json
t20_x61_u0_b103 20 61 0 103 add(R,dot(pow(P,R),D)) 171880 164876584 o2(x,o2(o2(x,x),x)) true 83447 83447 -0.797 0.08707 0.8759 0.2075 0.4555 -1 1 2 1 1.692 0.006851 0.004681 0.02704 0.1882 1 0.0002138 0.01764 0.01853 0.0108 0.1039 3.844 2 0.05557 0.08503 1 1 0.01479 0.0855 0.1931 0.07125 0.412 0.9304 json
t20_x61_u0_b104 20 61 0 104 add(R,dot(mod(P,R),D)) 171881 164876585 o2(x,o2(o2(x,x),x)) true 83455 83455 -0.0002957 0.4917 0.3924 0.2188 0.4678 -1 1 2 1 4.871 0.002978 0.003366 0.06631 -0.06112 1 0.0002133 0.0004049 0.01546 0.001947 0.04413 0.6655 0.2386 0.02899 0.00185 1 1 0.01256 0.1581 0.3911 0.05742 0.7225 1.787 json
t20_x61_u0_b105 20 61 0 105 add(R,dot(lrg(P,R),D)) 171882 164876586 o2(x,o2(o2(x,x),x)) true 83463 83463 -0.008744 0.4858 0.3997 0.2288 0.4783 -1 1 2 1 4.893 0.00367 0.004016 0.07498 -0.04504 1 0.0003413 0.0006318 0.0191 0.002065 0.04544 0.606 0.2656 0.0336 0.002762 1 1 0.01522 0.1772 0.397 0.06654 0.7747 1.735 json
t20_x61_u0_b106 20 61 0 106 add(R,dot(eql(P,R),D)) 171883 164876587 o2(x,o2(o2(x,x),x)) true 83471 83471 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_x61_u0_b107 20 61 0 107 add(R,dot(min(P,R),D)) 171884 164876588 o2(x,o2(o2(x,x),x)) true 83479 83479 -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_x61_u0_b108 20 61 0 108 add(R,dot(dot(P,R),D)) 171885 164876589 o2(x,o2(o2(x,x),x)) true 83487 83487 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_x61_u0_b109 20 61 0 109 add(R,dot(dst(P,R),D)) 171886 164876590 o2(x,o2(o2(x,x),x)) true 83495 83495 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_x61_u0_b110 20 61 0 110 add(R,dst(add(P,R),D)) 171887 164876591 o2(x,o2(o2(x,x),x)) true 83503 83503 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
t20_x61_u0_b111 20 61 0 111 add(R,dst(sub(P,R),D)) 171888 164876592 o2(x,o2(o2(x,x),x)) true 83511 83511 0.9986 1 0.9986 0.0006932 0.02633 0.2273 1 0.7727 1 0.04771 0.00004261 0.00004976 0.0006139 -0.0774 0 -2.816e-11 0.00004855 0.0004392 0.00009205 0.009594 15.63 0.2535 0.1333 0.07005 1 1 0.0002927 0.002118 0.002522 0.4222 3.055 3.638 json
t20_x61_u0_b112 20 61 0 112 add(R,dst(mlt(P,R),D)) 171889 164876593 o2(x,o2(o2(x,x),x)) true 83519 83519 0.9657 0.9943 0.968 0.02189 0.148 -0.7299 1 1.73 1 0.6861 0.0007781 0.0007707 0.01047 0.0048 1 -0.00001735 0.0006731 0.006274 0.001439 0.03793 3.624 0.3579 0.07075 0.03075 1 1 0.004361 0.03716 0.06068 0.1992 1.698 2.772 json
t20_x61_u0_b113 20 61 0 113 add(R,dst(div(P,R),D)) 171890 164876594 o2(x,o2(o2(x,x),x)) true 83527 83527 1 1 1 0.000001299 0.00114 0.8746 1 0.1254 1 0.00142 6.366e-7 6.848e-7 0.00001906 -0.03644 0 3.754e-12 0.000002314 0.00002505 0.000001321 0.001149 60.29 0.1043 1.017 1.781 1 1 0.000003201 0.000004717 0.000004717 2.465 3.632 3.632 json
t20_x61_u0_b114 20 61 0 114 add(R,dst(pow(P,R),D)) 171891 164876595 o2(x,o2(o2(x,x),x)) true 83535 83535 -0.9693 0.01563 0.9994 0.05952 0.244 -1 1 2 1 0.1298 0.005973 0.007582 0.007058 -0.1187 1 -6.007e-11 0.02852 0.01392 0.01351 0.1162 16.47 2.828 0.2277 0.4791 1 1 0.009498 0.04586 0.06932 0.1596 0.7706 1.165 json
t20_x61_u0_b115 20 61 0 115 add(R,dst(mod(P,R),D)) 171892 164876596 o2(x,o2(o2(x,x),x)) true 83543 83543 0.53 0.8753 0.5834 0.1765 0.4201 -0.9573 1 1.957 1 4.063 0.00405 0.00421 0.07088 -0.01935 1 -0.000583 0.001332 0.0226 0.003236 0.05688 0.8026 0.3157 0.0468 0.00755 1 1 0.01589 0.1618 0.2873 0.09003 0.9166 1.628 json
t20_x61_u0_b116 20 61 0 116 add(R,dst(lrg(P,R),D)) 171893 164876597 o2(x,o2(o2(x,x),x)) true 83551 83551 0.8727 0.985 0.8799 0.06568 0.2563 -0.954 1 1.954 1 2.022 0.001548 0.001756 0.0289 -0.06305 1 -0.0001835 0.0008244 0.01217 0.002469 0.04968 1.719 0.3072 0.05031 0.01255 1 1 0.006068 0.05696 0.0951 0.09239 0.8672 1.448 json
t20_x61_u0_b117 20 61 0 117 add(R,dst(eql(P,R),D)) 171894 164876598 o2(x,o2(o2(x,x),x)) true 83559 83559 0.4316 0.8003 0.5432 0.2164 0.4652 -0.9541 1 1.954 1 4.419 0.004497 0.004863 0.08004 -0.03911 1 -0.0005922 0.001202 0.02418 0.002953 0.05434 0.6789 0.2559 0.04326 0.005554 1 1 0.01827 0.188 0.3424 0.08445 0.8686 1.582 json
t20_x61_u0_b118 20 61 0 118 add(R,dst(min(P,R),D)) 171895 164876599 o2(x,o2(o2(x,x),x)) true 83567 83567 0.9334 0.9971 0.9337 0.03424 0.185 -0.1322 1 1.132 1 1.178 0.0008794 0.0006373 0.01383 0.1596 1 -0.00003501 0.0004622 0.006192 0.001325 0.03641 2.633 0.2795 0.0443 0.0135 1 1 0.002829 0.02671 0.05166 0.08264 0.7801 1.509 json
t20_x61_u0_b119 20 61 0 119 add(R,dst(dot(P,R),D)) 171896 164876600 o2(x,o2(o2(x,x),x)) true 83575 83575 0.9697 0.9946 0.9718 0.02099 0.1449 -0.6443 1 1.644 1 0.5681 0.001167 0.001289 0.01086 -0.04948 1 -0.00008232 0.001515 0.008004 0.002338 0.04835 4.453 0.73 0.117 0.07218 1 1 0.006522 0.04372 0.05577 0.3107 2.083 2.657 json
t20_x61_u0_b120 20 61 0 120 add(R,dst(dst(P,R),D)) 171897 164876601 o2(x,o2(o2(x,x),x)) true 83583 83583 1 1 1 2.351e-7 0.0004848 0.9454 1 0.05462 1 0 1.333e-7 1.797e-7 0.000011 -0.1482 0 -1.126e-11 7.214e-7 0.00001785 3.128e-7 0.0005593 50.85 0.04555 1.332 3.069 1 1 6.654e-7 8.538e-7 8.538e-7 2.83 3.632 3.632 json
t20_x61_u0_b121 20 61 0 121 sub(R,add(add(P,R),D)) 171898 164876602 o2(x,o2(o2(x,x),x)) true 83591 83591 0 0.5 0.9375 0.9165 0.9574 -1 1 2 1 1.979 0.0004883 1.832e-18 0.007937 1 1 -7.884e-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_x61_u0_b122 20 61 0 122 sub(R,add(sub(P,R),D)) 171899 164876603 o2(x,o2(o2(x,x),x)) true 83599 83599 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