HairBSDF, Mp, lower

Time bar (total: 3.1s)

start0.0ms (0%)

Memory
0.1MiB live, 0.1MiB allocated

analyze353.0ms (11.4%)

Memory
5.3MiB live, 124.4MiB 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)

sample61.0ms (2%)

Memory
2.2MiB live, 24.2MiB allocated
Samples
45.0ms260×0valid
1.0ms7×0invalid
Precisions
Click to see histograms. Total time spent on operations: 37.0ms
const: 9.0ms (24% of total)
ival-div: 7.0ms (18.7% of total)
ival-<=: 5.0ms (13.3% of total)
ival-mult: 4.0ms (10.7% of total)
ival-log: 3.0ms (8% of total)
ival-exp: 2.0ms (5.3% of total)
ival-add: 2.0ms (5.3% of total)
ival-sub: 2.0ms (5.3% of total)
ival-and: 2.0ms (5.3% of total)
adjust: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
Bogosity

explain2.5s (80.8%)

Memory
8.9MiB live, 1 359.0MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
874(3.6785844688283845e-14 -8.618265823212568e-11 -1.0442239624815997e-26 2.317018751615734e-34 6.627487005409513e-16)29(-0.04847526177763939 2.0615689155789596e-9 -1.899397978944261e-31 -1.2611986853635314e-14 0.0008453126065433025)(/.f32 (*.f32 sinTheta_i sinTheta_O) v)
821(-9.402999717418257e-32 3.362237804670024e-20 7.23093194210378e-7 4.63126944325668e-30 1.0551665354796569e-6)30(-2.509772514054827e-14 -3.6667783972770506e-30 -1.3201550996573785e-37 -6.238091599701277e-19 1.5419096207567692e-25)(/.f32 (*.f32 cosTheta_i cosTheta_O) v)
13(4.5761988355609226e-14 -2.676154220102034e-12 -1.0329686741373028e-35 5.802758273887321e-10 0.0015078919241204858)0-(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/n100
↳(*.f32 sinTheta_i sinTheta_O)underflow81
/.f32(/.f32 (*.f32 cosTheta_i cosTheta_O) v)u/n100
↳(*.f32 cosTheta_i cosTheta_O)underflow74
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)))))sensitivity43
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 -
+20
-23231
Precision
0.08
Recall
1.0
Confusion?
Predicted +Predicted MaybePredicted -
+200
-233228
Precision?
0.07142857142857142
Recall?
1.0
Freqs
test
numberfreq
0231
125
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Total Time
37.463134765625
Average Time
0.14634037017822266
Samples
836.0ms6 144×0valid
Compiler

Compiled 5 136 to 1 056 computations (79.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 574.0ms
ival-div: 158.0ms (27.5% of total)
ival-mult: 111.0ms (19.3% of total)
const: 84.0ms (14.6% of total)
ival-log: 64.0ms (11.1% of total)
ival-add: 49.0ms (8.5% of total)
ival-sub: 49.0ms (8.5% of total)
ival-exp: 43.0ms (7.5% of total)
exact: 6.0ms (1% of total)
ival-true: 5.0ms (0.9% of total)
adjust: 2.0ms (0.3% of total)
ival-assert: 2.0ms (0.3% of total)

preprocess141.0ms (4.5%)

Memory
4.0MiB 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
0.6MiB live, 0.6MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.4%
(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)

simplify31.0ms (1%)

Memory
-11.4MiB live, 18.3MiB 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 (0.2%)

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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