Beckmann Distribution sample, tan2theta, alphax == alphay

Time bar (total: 832.0ms)

start0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

analyze60.0ms (7.3%)

Memory
1.6MiB live, 18.1MiB allocated
Algorithm
1×search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%0.2%99.8%0%0%0%0
0%0%0.2%99.8%0%0%0%1
0%0%0.2%99.8%0%0%0%2
0%0%0.2%99.8%0%0%0%3
0%0%0.2%99.8%0%0%0%4
37.5%0.1%0.1%99.8%0%0%0%5
43.7%0.1%0.1%99.8%0%0%0%6
65.6%0.1%0.1%99.8%0%0%0%7
70.3%0.1%0%99.8%0%0%0%8
82%0.1%0%99.8%0%0%0%9
84.8%0.1%0%99.8%0%0%0%10
90.8%0.1%0%99.8%0%0%0%11
92.3%0.2%0%99.8%0%0%0%12
Compiler

Compiled 25 to 18 computations (28% saved)

sample32.0ms (3.8%)

Memory
3.9MiB live, 11.3MiB allocated
Samples
24.0ms260×0valid
Precisions
Click to see histograms. Total time spent on operations: 19.0ms
const: 6.0ms (31.6% of total)
ival-log: 4.0ms (21.1% of total)
ival-mult: 3.0ms (15.8% of total)
ival-<=: 2.0ms (10.5% of total)
ival-sub: 1.0ms (5.3% of total)
ival-and: 1.0ms (5.3% of total)
ival-neg: 1.0ms (5.3% of total)
adjust: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
Bogosity

explain681.0ms (82%)

Memory
2.7MiB live, 510.7MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
19953(0.011243145912885666 0.015552420169115067)0-(log.f32 (-.f32 #s(literal 1 binary32) u0))
00-0-u0
00-0-#s(literal 1 binary32)
00-0-(neg.f32 alpha)
00-0-(*.f32 (neg.f32 alpha) alpha)
00-0-alpha
00-0-(-.f32 #s(literal 1 binary32) u0)
00-0-(*.f32 (*.f32 (neg.f32 alpha) alpha) (log.f32 (-.f32 #s(literal 1 binary32) u0)))
Explanations
Click to see full explanations table
OperatorSubexpressionExplanationCount
log.f32(log.f32 (-.f32 #s(literal 1 binary32) u0))sensitivity2520
Confusion
Predicted +Predicted -
+1980
-544
Precision
0.7857142857142857
Recall
1.0
Confusion?
Predicted +Predicted MaybePredicted -
+19800
-5404
Precision?
0.7857142857142857
Recall?
1.0
Freqs
test
numberfreq
04
1252
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Total Time
5.2978515625
Average Time
0.020694732666015625
Samples
180.0ms3 072×0valid
Compiler

Compiled 1 032 to 408 computations (60.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 111.0ms
ival-log: 41.0ms (37% of total)
ival-mult: 37.0ms (33.4% of total)
ival-neg: 15.0ms (13.5% of total)
ival-sub: 13.0ms (11.7% of total)
ival-true: 2.0ms (1.8% of total)
exact: 2.0ms (1.8% of total)
adjust: 1.0ms (0.9% of total)
ival-assert: 1.0ms (0.9% of total)

preprocess35.0ms (4.2%)

Memory
-3.3MiB live, 6.1MiB allocated
Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02049
16643
217743
345143
475943
586443
690343
791043
891243
991243
089
0139
1269
2489
3929
41209
51399
61799
71989
82049
92109
102109
02108
Stop Event
1×iter limit
1×saturated
1×iter limit
1×saturated
Calls
Call 1
Inputs
(*.f32 (*.f32 (neg.f32 alpha) alpha) (log.f32 (-.f32 #s(literal 1 binary32) u0)))
Outputs
(*.f32 (*.f32 (neg.f32 alpha) alpha) (log.f32 (-.f32 #s(literal 1 binary32) u0)))
(*.f32 (log1p.f32 (neg.f32 u0)) (*.f32 (neg.f32 alpha) alpha))
Symmetry

(abs alpha)

Compiler

Compiled 9 to 8 computations (11.1% saved)

eval0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated
Compiler

Compiled 0 to 2 computations (-∞% saved)

prune1.0ms (0.1%)

Memory
0.5MiB live, 0.5MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
56.0%
(*.f32 (*.f32 (neg.f32 alpha) alpha) (log.f32 (-.f32 #s(literal 1 binary32) u0)))
Compiler

Compiled 18 to 16 computations (11.1% saved)

simplify20.0ms (2.4%)

Memory
2.3MiB live, 18.1MiB allocated
Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
089
1209
2319
3439
4499
5529
6539
Stop Event
1×saturated
Calls
Call 1
Inputs
(*.f32 (*.f32 (neg.f32 alpha) alpha) (log.f32 (-.f32 #s(literal 1 binary32) u0)))
Outputs
(*.f32 (*.f32 (neg.f32 alpha) alpha) (log.f32 (-.f32 #s(literal 1 binary32) u0)))
(*.f32 (log.f32 (-.f32 #s(literal 1 binary32) u0)) (*.f32 (neg.f32 alpha) alpha))

soundness0.0ms (0%)

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

Compiled 9 to 8 computations (11.1% saved)

preprocess2.0ms (0.2%)

Memory
1.3MiB live, 1.3MiB allocated
Remove

(abs alpha)

Compiler

Compiled 72 to 64 computations (11.1% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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