HairBSDF, Mp, lower

Time bar (total: 9.5s)

start0.0ms (0%)

Memory
0.1MiB live, 0.1MiB allocated

analyze333.0ms (3.5%)

Memory
5.6MiB live, 124.7MiB allocated
Algorithm
1×search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%3%97%0%0%0%0
0%0%3%97%0%0%0%1
0%0%3%97%0%0%0%2
0%0%3%97%0%0%0%3
0%0%3%97%0%0%0%4
0%0%3%97%0%0%0%5
0%0%1.5%97%0%1.5%0%6
0%0%1.5%97%0%1.5%0%7
0%0%1.5%97%0%1.5%0%8
0%0%1.5%97%0%1.5%0%9
0%0%1.5%97%0%1.5%0%10
0%0%1.5%97%0%1.5%0%11
0%0%1.5%97%0%1.5%0%12
Compiler

Compiled 65 to 44 computations (32.3% saved)

sample59.0ms (0.6%)

Memory
1.6MiB live, 23.7MiB allocated
Samples
44.0ms260×0valid
1.0ms4×0invalid
Precisions
Click to see histograms. Total time spent on operations: 36.0ms
const: 9.0ms (24.8% of total)
ival-div: 6.0ms (16.6% of total)
ival-<=: 6.0ms (16.6% of total)
ival-mult: 4.0ms (11% of total)
ival-log: 3.0ms (8.3% of total)
ival-exp: 2.0ms (5.5% of total)
ival-add: 2.0ms (5.5% of total)
ival-sub: 2.0ms (5.5% of total)
ival-and: 2.0ms (5.5% of total)
ival-assert: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
Bogosity

explain9.0s (94.2%)

Memory
53.7MiB live, 5 115.6MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
1063(2.0040546907281965e-29 -1.638077566004203e-27 4.4255304280832304e-17 5.0743611165741424e-20 2.20109173942884e-11)36(4.807855648835652e-33 -2.330915679655404e-13 7.032881013784865e-38 3.822537374259583e-26 1.7194566603873085e-10)(/.f32 (*.f32 cosTheta_i cosTheta_O) v)
925(-2.5897474269231946e-12 5.84564547886133e-23 -8.803068323196377e-27 -5.2702206259681735e-27 3.3558689160884114e-9)35(-8.878079825080931e-5 6.225285838840367e-33 -2.066046135951183e-6 7.807377666082297e-37 2.4305243581657088e-11)(/.f32 (*.f32 sinTheta_i sinTheta_O) v)
26(4.513243212672281e-19 6.041761604800796e-16 -2.3942972323336533e-15 -0.2293969839811325 0.0014072529738768935)2(-3.848962868840938e-29 1.5439591676581578e-31 8.704087667865679e-5 -1.0959451831563539e-14 0.020369676873087883)(exp.f32 (+.f32 (+.f32 (-.f32 (-.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v) (/.f32 (*.f32 sinTheta_i sinTheta_O) v)) (/.f32 #s(literal 1 binary32) v)) #s(literal 6931/10000 binary32)) (log.f32 (/.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) v)))))
10-0-(log.f32 (/.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) v)))
00-0-(/.f32 #s(literal 1 binary32) v)
00-0-(/.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) v))
00-0-#s(literal 2 binary32)
00-0-(+.f32 (+.f32 (-.f32 (-.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v) (/.f32 (*.f32 sinTheta_i sinTheta_O) v)) (/.f32 #s(literal 1 binary32) v)) #s(literal 6931/10000 binary32)) (log.f32 (/.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) v))))
00-0-sinTheta_i
00-0-v
00-0-cosTheta_i
00-0-(+.f32 (-.f32 (-.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v) (/.f32 (*.f32 sinTheta_i sinTheta_O) v)) (/.f32 #s(literal 1 binary32) v)) #s(literal 6931/10000 binary32))
00-0-sinTheta_O
00-0-(*.f32 #s(literal 2 binary32) v)
00-0-(*.f32 sinTheta_i sinTheta_O)
00-0-#s(literal 1 binary32)
00-0-(*.f32 cosTheta_i cosTheta_O)
00-0-#s(literal 6931/10000 binary32)
00-0-(-.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v) (/.f32 (*.f32 sinTheta_i sinTheta_O) v))
00-0-(-.f32 (-.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v) (/.f32 (*.f32 sinTheta_i sinTheta_O) v)) (/.f32 #s(literal 1 binary32) v))
00-0-cosTheta_O
Explanations
Click to see full explanations table
OperatorSubexpressionExplanationCount
/.f32(/.f32 (*.f32 sinTheta_i sinTheta_O) v)u/n70
↳(*.f32 sinTheta_i sinTheta_O)underflow86
exp.f32(exp.f32 (+.f32 (+.f32 (-.f32 (-.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v) (/.f32 (*.f32 sinTheta_i sinTheta_O) v)) (/.f32 #s(literal 1 binary32) v)) #s(literal 6931/10000 binary32)) (log.f32 (/.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) v)))))sensitivity63
/.f32(/.f32 (*.f32 cosTheta_i cosTheta_O) v)u/n60
↳(*.f32 cosTheta_i cosTheta_O)underflow88
log.f32(log.f32 (/.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) v)))oflow-rescue10
↳(/.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) v))overflow1
Confusion
Predicted +Predicted -
+12
-19234
Precision
0.05
Recall
0.3333333333333333
Confusion?
Predicted +Predicted MaybePredicted -
+120
-191233
Precision?
0.13043478260869565
Recall?
1.0
Freqs
test
numberfreq
0236
120
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Total Time
36.3349609375
Average Time
0.14193344116210938
Samples
3.0s23 040×0valid
Compiler

Compiled 19 260 to 3 960 computations (79.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 2.1s
ival-div: 575.0ms (27.3% of total)
ival-mult: 404.0ms (19.2% of total)
const: 314.0ms (14.9% of total)
ival-log: 240.0ms (11.4% of total)
ival-add: 180.0ms (8.6% of total)
ival-sub: 179.0ms (8.5% of total)
ival-exp: 162.0ms (7.7% of total)
exact: 23.0ms (1.1% of total)
ival-true: 18.0ms (0.9% of total)
ival-assert: 9.0ms (0.4% of total)

preprocess133.0ms (1.4%)

Memory
3.9MiB live, 33.9MiB allocated
Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0159481
1462447
21368440
34990440
02125
03423
16322
215122
347122
4171722
5504722
0813419
Stop Event
1×iter limit
1×node limit
1×iter limit
1×node limit
Calls
Call 1
Inputs
(exp.f32 (+.f32 (+.f32 (-.f32 (-.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v) (/.f32 (*.f32 sinTheta_i sinTheta_O) v)) (/.f32 #s(literal 1 binary32) v)) #s(literal 6931/10000 binary32)) (log.f32 (/.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) v)))))
Outputs
(exp.f32 (+.f32 (+.f32 (-.f32 (-.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v) (/.f32 (*.f32 sinTheta_i sinTheta_O) v)) (/.f32 #s(literal 1 binary32) v)) #s(literal 6931/10000 binary32)) (log.f32 (/.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) v)))))
(*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (fma.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) (/.f32 #s(literal -1 binary32) v) (fma.f32 (/.f32 cosTheta_O v) cosTheta_i #s(literal 6931/10000 binary32)))))
Symmetry

(sort cosTheta_i cosTheta_O)

(sort sinTheta_i sinTheta_O)

Compiler

Compiled 25 to 21 computations (16% saved)

eval0.0ms (0%)

Memory
0.1MiB live, 0.1MiB allocated
Compiler

Compiled 0 to 5 computations (-∞% saved)

prune1.0ms (0%)

Memory
-7.3MiB live, 0.6MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.3%
(exp.f32 (+.f32 (+.f32 (-.f32 (-.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v) (/.f32 (*.f32 sinTheta_i sinTheta_O) v)) (/.f32 #s(literal 1 binary32) v)) #s(literal 6931/10000 binary32)) (log.f32 (/.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) v)))))
Compiler

Compiled 50 to 42 computations (16% saved)

simplify22.0ms (0.2%)

Memory
0.1MiB live, 18.2MiB allocated
Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02125
13325
24725
36325
47725
510625
614825
715225
Stop Event
1×saturated
Calls
Call 1
Inputs
(exp.f32 (+.f32 (+.f32 (-.f32 (-.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v) (/.f32 (*.f32 sinTheta_i sinTheta_O) v)) (/.f32 #s(literal 1 binary32) v)) #s(literal 6931/10000 binary32)) (log.f32 (/.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) v)))))
Outputs
(exp.f32 (+.f32 (+.f32 (-.f32 (-.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v) (/.f32 (*.f32 sinTheta_i sinTheta_O) v)) (/.f32 #s(literal 1 binary32) v)) #s(literal 6931/10000 binary32)) (log.f32 (/.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) v)))))
(exp.f32 (+.f32 (log.f32 (/.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) v))) (+.f32 #s(literal 6931/10000 binary32) (-.f32 (-.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)) (/.f32 #s(literal 1 binary32) v)))))

soundness0.0ms (0%)

Memory
0.3MiB live, 0.3MiB allocated
Stop Event
1×fuel
Compiler

Compiled 25 to 21 computations (16% saved)

preprocess6.0ms (0.1%)

Memory
4.2MiB live, 4.2MiB allocated
Remove

(sort sinTheta_i sinTheta_O)

(sort cosTheta_i cosTheta_O)

Compiler

Compiled 300 to 252 computations (16% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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