HairBSDF, Mp, lower

Time bar (total: 2.9s)

start0.0ms (0%)

Memory
0.1MiB live, 0.1MiB allocated

analyze323.0ms (11.1%)

Memory
3.5MiB live, 122.4MiB 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)

sample59.0ms (2%)

Memory
1.4MiB live, 24.0MiB allocated
Samples
44.0ms260×0valid
1.0ms5×0invalid
Precisions
Click to see histograms. Total time spent on operations: 36.0ms
ival-div: 8.0ms (22% of total)
const: 8.0ms (22% of total)
ival-<=: 5.0ms (13.8% 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)
adjust: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
Bogosity

explain2.4s (81.4%)

Memory
11.1MiB live, 1 353.7MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
996(-1.6860979438246536e-38 1.292033369182377e-9 -1.0570391850706073e-7 3.76794107156278e-34 0.007482601795345545)37(4.5508055383892216e-31 3.6991597285318534e-11 -0.002590285614132881 2.5837392279696773e-32 1.966178720496114e-29)(/.f32 (*.f32 cosTheta_i cosTheta_O) v)
796(1.716713072104985e-33 -5.1243812777101994e-5 1.1734536173976216e-29 2.3164597265746865e-38 3.353761485408182e-22)26(4.589453441655557e-29 -1.2818044368978487e-11 2.4611059225927896e-23 3.2181805043641494e-21 1.6489810170276053e-21)(/.f32 (*.f32 sinTheta_i sinTheta_O) 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-(log.f32 (/.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) v)))
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))
08(-1.6860979438246536e-38 1.292033369182377e-9 -1.0570391850706073e-7 3.76794107156278e-34 0.007482601795345545)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)))))
00-0-cosTheta_O
Explanations
Click to see full explanations table
OperatorSubexpressionExplanationCount
/.f32(/.f32 (*.f32 cosTheta_i cosTheta_O) v)u/n100
↳(*.f32 cosTheta_i cosTheta_O)underflow102
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)))))sensitivity85
/.f32(/.f32 (*.f32 sinTheta_i sinTheta_O) v)u/n70
↳(*.f32 sinTheta_i sinTheta_O)underflow83
Confusion
Predicted +Predicted -
+01
-24231
Precision
0.0
Recall
0.0
Confusion?
Predicted +Predicted MaybePredicted -
+010
-244227
Precision?
0.034482758620689655
Recall?
1.0
Freqs
test
numberfreq
0232
123
21
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Total Time
35.31689453125
Average Time
0.1379566192626953
Samples
785.0ms6 144×0valid
Compiler

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

Precisions
Click to see histograms. Total time spent on operations: 541.0ms
ival-div: 152.0ms (28.1% of total)
ival-mult: 104.0ms (19.2% of total)
const: 79.0ms (14.6% of total)
ival-log: 62.0ms (11.5% of total)
ival-add: 44.0ms (8.1% of total)
ival-sub: 44.0ms (8.1% of total)
ival-exp: 42.0ms (7.8% of total)
exact: 6.0ms (1.1% of total)
ival-true: 5.0ms (0.9% of total)
adjust: 2.0ms (0.4% of total)
ival-assert: 2.0ms (0.4% of total)

preprocess133.0ms (4.6%)

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
99.6%
(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)

simplify21.0ms (0.7%)

Memory
-7.6MiB 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
4.3MiB live, 4.3MiB 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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