HairBSDF, Mp, upper

Time bar (total: 2.1s)

start0.0ms (0%)

Memory
0.1MiB live, 0.1MiB allocated

analyze472.0ms (22.5%)

Memory
4.0MiB live, 171.6MiB allocated
Algorithm
1×search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%0%100%0%0%0%0
0%0%0%100%0%0%0%1
0%0%0%100%0%0%0%2
0%0%0%100%0%0%0%3
0%0%0%100%0%0%0%4
0%0%0%100%0%0%0%5
0%0%0%100%0%0%0%6
0%0%0%100%0%0%0%7
0%0%0%100%0%0%0%8
0%0%0%100%0%0%0%9
0%0%0%100%0%0%0%10
50%0%0%100%0%0%0%11
50%0%0%100%0%0%0%12
Compiler

Compiled 62 to 42 computations (32.3% saved)

sample55.0ms (2.6%)

Memory
-0.6MiB live, 22.2MiB allocated
Samples
41.0ms260×0valid
Precisions
Click to see histograms. Total time spent on operations: 33.0ms
ival-mult: 7.0ms (21.4% of total)
ival-div: 6.0ms (18.4% of total)
const: 6.0ms (18.4% of total)
ival-<=: 5.0ms (15.3% of total)
ival-exp: 2.0ms (6.1% of total)
ival-and: 2.0ms (6.1% of total)
ival-sinh: 2.0ms (6.1% of total)
ival-<: 1.0ms (3.1% of total)
ival-neg: 1.0ms (3.1% of total)
adjust: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
Bogosity

explain1.4s (66%)

Memory
5.7MiB live, 1 154.8MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
00-0-(/.f32 #s(literal 1 binary32) v)
00-0-#s(literal 2 binary32)
00-0-(*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32))
00-0-sinTheta_i
00-0-cosTheta_i
00-0-v
00-0-(neg.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v))
00-0-sinTheta_O
00-0-(*.f32 sinTheta_i sinTheta_O)
00-0-(*.f32 (exp.f32 (neg.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v))) (/.f32 (*.f32 cosTheta_i cosTheta_O) v))
00-0-#s(literal 1 binary32)
00-0-(/.f32 (*.f32 (exp.f32 (neg.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v))) (/.f32 (*.f32 cosTheta_i cosTheta_O) v)) (*.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))
00-0-(*.f32 cosTheta_i cosTheta_O)
00-0-(*.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v)
00-0-(exp.f32 (neg.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v)))
00-0-cosTheta_O
00-0-(sinh.f32 (/.f32 #s(literal 1 binary32) v))
04(-6.536635853707919e-31 -2.4731078710156254e-32 -5.938365862712323e-36 0.0010778625728562474 0.10404988378286362)0-(/.f32 (*.f32 sinTheta_i sinTheta_O) v)
04(1.3705587879886405e-11 -7.863154999100124e-28 -9.558510609957087e-21 -5.502585054273368e-8 0.8541985750198364)0-(/.f32 (*.f32 cosTheta_i cosTheta_O) v)
Explanations
Click to see full explanations table
OperatorSubexpressionExplanationCount
/.f32(/.f32 (*.f32 sinTheta_i sinTheta_O) v)u/n40
↳(*.f32 sinTheta_i sinTheta_O)underflow120
/.f32(/.f32 (*.f32 cosTheta_i cosTheta_O) v)u/n40
↳(*.f32 cosTheta_i cosTheta_O)underflow116
Confusion
Predicted +Predicted -
+00
-8248
Precision
0.0
Recall
0/0
Confusion?
Predicted +Predicted MaybePredicted -
+000
-80248
Precision?
0.0
Recall?
0/0
Freqs
test
numberfreq
0248
18
Total Confusion?
Predicted +Predicted MaybePredicted -
+000
-100
Precision?
0.0
Recall?
0/0
Total Time
8.1826171875
Average Time
0.031963348388671875
Samples
340.0ms3 072×0valid
Compiler

Compiled 3 600 to 936 computations (74% saved)

Precisions
Click to see histograms. Total time spent on operations: 226.0ms
ival-mult: 83.0ms (36.8% of total)
ival-div: 72.0ms (31.9% of total)
ival-sinh: 28.0ms (12.4% of total)
ival-exp: 24.0ms (10.6% of total)
ival-neg: 13.0ms (5.8% of total)
exact: 3.0ms (1.3% of total)
ival-true: 2.0ms (0.9% of total)
adjust: 1.0ms (0.4% of total)
ival-assert: 1.0ms (0.4% of total)

preprocess135.0ms (6.5%)

Memory
4.7MiB live, 35.9MiB allocated
Algorithm
1×egg-herbie
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
0139465
1535441
22083420
01922
03122
16722
219721
377921
4304221
5371421
6545421
0826321
Stop Event
1×iter limit
1×node limit
1×iter limit
1×node limit
Calls
Call 1
Inputs
(/.f32 (*.f32 (exp.f32 (neg.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v))) (/.f32 (*.f32 cosTheta_i cosTheta_O) v)) (*.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))
Outputs
(/.f32 (*.f32 (exp.f32 (neg.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v))) (/.f32 (*.f32 cosTheta_i cosTheta_O) v)) (*.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))
(*.f32 (/.f32 (/.f32 (/.f32 cosTheta_O v) v) (pow.f32 (exp.f32 sinTheta_O) (/.f32 sinTheta_i v))) (/.f32 (/.f32 cosTheta_i #s(literal 2 binary32)) (sinh.f32 (/.f32 #s(literal 1 binary32) v))))
Symmetry

(negabs cosTheta_O)

(negabs cosTheta_i)

(sort cosTheta_i cosTheta_O)

(sort sinTheta_i sinTheta_O)

Compiler

Compiled 22 to 19 computations (13.6% 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
98.6%
(/.f32 (*.f32 (exp.f32 (neg.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v))) (/.f32 (*.f32 cosTheta_i cosTheta_O) v)) (*.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))
Compiler

Compiled 44 to 38 computations (13.6% saved)

simplify20.0ms (1%)

Memory
-5.3MiB live, 18.3MiB allocated
Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01922
13422
24622
35522
46122
56322
Stop Event
1×saturated
Calls
Call 1
Inputs
(/.f32 (*.f32 (exp.f32 (neg.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v))) (/.f32 (*.f32 cosTheta_i cosTheta_O) v)) (*.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))
Outputs
(/.f32 (*.f32 (exp.f32 (neg.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v))) (/.f32 (*.f32 cosTheta_i cosTheta_O) v)) (*.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))
(/.f32 (*.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) v) (exp.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) (neg.f32 v)))) (*.f32 (*.f32 #s(literal 2 binary32) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) v))

soundness0.0ms (0%)

Memory
0.2MiB live, 0.2MiB allocated
Stop Event
1×fuel
Compiler

Compiled 22 to 19 computations (13.6% saved)

preprocess27.0ms (1.3%)

Memory
3.5MiB live, 13.7MiB allocated
Remove

(sort sinTheta_i sinTheta_O)

(sort cosTheta_i cosTheta_O)

(negabs cosTheta_i)

(negabs cosTheta_O)

Compiler

Compiled 440 to 380 computations (13.6% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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