Numeric.Log:$cexpm1 from log-domain-0.10.2.1, A

Time bar (total: 977.0ms)

start0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

analyze0.0ms (0%)

Memory
0.3MiB live, 0.3MiB allocated
Algorithm
1×search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%100%0%0%0%0%0
100%100%0%0%0%0%0%1
Compiler

Compiled 7 to 6 computations (14.3% saved)

sample712.0ms (72.9%)

Memory
-8.9MiB live, 626.9MiB allocated
Samples
535.0ms8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 339.0ms
ival-mult: 325.0ms (95.8% of total)
ival-true: 6.0ms (1.8% of total)
exact: 5.0ms (1.5% of total)
ival-assert: 3.0ms (0.9% of total)
Bogosity

explain40.0ms (4.1%)

Memory
16.9MiB live, 46.7MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
00-0-(*.f64 (*.f64 x #s(literal 2 binary64)) x)
00-0-(*.f64 x #s(literal 2 binary64))
00-0-#s(literal 2 binary64)
00-0-x
Confusion
Predicted +Predicted -
+00
-0256
Precision
0/0
Recall
0/0
Confusion?
Predicted +Predicted MaybePredicted -
+000
-00256
Precision?
0/0
Recall?
0/0
Freqs
test
numberfreq
0256
Total Confusion?
Predicted +Predicted MaybePredicted -
+000
-001
Precision?
0/0
Recall?
0/0
Samples
20.0ms512×0valid
Compiler

Compiled 29 to 16 computations (44.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 11.0ms
ival-mult: 10.0ms (91.9% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

preprocess23.0ms (2.3%)

Memory
-15.9MiB live, 18.8MiB allocated
Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0615
11910
25010
37410
49510
515710
624110
726110
828110
045
065
1115
2175
3225
4535
51195
61845
72205
82405
92605
02605
Stop Event
1×iter limit
1×saturated
1×iter limit
1×saturated
Calls
Call 1
Inputs
(*.f64 (*.f64 x #s(literal 2 binary64)) x)
Outputs
(*.f64 (*.f64 x #s(literal 2 binary64)) x)
(*.f64 (*.f64 x x) #s(literal 2 binary64))
Symmetry

(abs x)

Compiler

Compiled 5 to 4 computations (20% saved)

eval0.0ms (0%)

Memory
0.1MiB live, 0.1MiB allocated
Compiler

Compiled 0 to 1 computations (-∞% saved)

prune0.0ms (0%)

Memory
0.5MiB live, 0.5MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶100.0%
(*.f64 (*.f64 x #s(literal 2 binary64)) x)
Compiler

Compiled 5 to 4 computations (20% saved)

simplify6.0ms (0.7%)

Memory
5.5MiB live, 5.5MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 2 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 x #s(literal 2 binary64))
cost-diff0
(*.f64 (*.f64 x #s(literal 2 binary64)) x)
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0410
0610
11110
21710
32210
45310
511910
618410
722010
824010
926010
026010
Stop Event
1×iter limit
1×saturated
1×iter limit
Calls
Call 1
Inputs
(*.f64 (*.f64 x #s(literal 2 binary64)) x)
(*.f64 x #s(literal 2 binary64))
x
#s(literal 2 binary64)
Outputs
(*.f64 (*.f64 x #s(literal 2 binary64)) x)
(*.f64 (*.f64 x x) #s(literal 2 binary64))
(*.f64 x #s(literal 2 binary64))
(*.f64 #s(literal 2 binary64) x)
x
#s(literal 2 binary64)

localize11.0ms (1.1%)

Memory
12.1MiB live, 12.1MiB allocated
Localize:

Found 2 expressions of interest:

NewMetricScoreProgram
accuracy0.0
(*.f64 (*.f64 x #s(literal 2 binary64)) x)
accuracy0.0
(*.f64 x #s(literal 2 binary64))
Samples
7.0ms256×0valid
Compiler

Compiled 12 to 6 computations (50% saved)

Precisions
Click to see histograms. Total time spent on operations: 3.0ms
ival-mult: 3.0ms (92.5% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series2.0ms (0.2%)

Memory
2.4MiB live, 2.4MiB allocated
Counts
2 → 2
Calls
Call 1
Inputs
(*.f64 (*.f64 x #s(literal 2 binary64)) x)
(*.f64 x #s(literal 2 binary64))
Outputs
(* 2 (pow x 2))
(* 2 x)
Calls

3 calls:

TimeVariablePointExpression
1.0ms
x
@0
((* (* x 2) x) (* x 2))
1.0ms
x
@inf
((* (* x 2) x) (* x 2))
1.0ms
x
@-inf
((* (* x 2) x) (* x 2))

simplify11.0ms (1.1%)

Memory
-23.6MiB live, 5.9MiB allocated
Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
058
1128
2228
3588
41278
52008
62368
72568
82718
02718
Stop Event
1×iter limit
1×saturated
Counts
2 → 2
Calls
Call 1
Inputs
(* 2 (pow x 2))
(* 2 x)
Outputs
(* 2 (pow x 2))
(*.f64 (*.f64 #s(literal 2 binary64) x) x)
(* 2 x)
(*.f64 #s(literal 2 binary64) x)

rewrite30.0ms (3.1%)

Memory
25.9MiB live, 25.9MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
048
066
1116
2186
3336
01806
Stop Event
1×iter limit
1×iter limit
1×iter limit
1×unsound
1×iter limit
Counts
2 → 70
Calls
Call 1
Inputs
(*.f64 (*.f64 x #s(literal 2 binary64)) x)
(*.f64 x #s(literal 2 binary64))
Outputs
(*.f64 (*.f64 #s(literal 2 binary64) (neg.f64 x)) (neg.f64 x))
(*.f64 (*.f64 #s(literal 2 binary64) (fabs.f64 x)) (fabs.f64 x))
(*.f64 (neg.f64 x) (*.f64 (neg.f64 x) #s(literal 2 binary64)))
(*.f64 (neg.f64 x) (+.f64 (neg.f64 x) (neg.f64 x)))
(*.f64 (fabs.f64 x) (*.f64 (fabs.f64 x) #s(literal 2 binary64)))
(*.f64 (fabs.f64 x) (+.f64 (fabs.f64 x) (fabs.f64 x)))
(*.f64 (*.f64 x x) #s(literal 2 binary64))
(*.f64 (*.f64 #s(literal 2 binary64) x) x)
(*.f64 #s(literal 2 binary64) (*.f64 x x))
(*.f64 #s(literal 2 binary64) x)
(*.f64 x (*.f64 #s(literal 2 binary64) x))
(*.f64 x #s(literal 2 binary64))
(/.f64 (*.f64 #s(literal 0 binary64) x) #s(literal 0 binary64))
(/.f64 (*.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 3 binary64))) x) (fma.f64 x x #s(literal 0 binary64)))
(/.f64 (*.f64 x (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 x x #s(literal 0 binary64)))
(/.f64 (-.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 (*.f64 x x) (*.f64 x x))) #s(literal 0 binary64))
(/.f64 (+.f64 (pow.f64 (*.f64 x x) #s(literal 3 binary64)) (pow.f64 (*.f64 x x) #s(literal 3 binary64))) (fma.f64 (*.f64 x x) (*.f64 x x) (-.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 (*.f64 x x) (*.f64 x x)))))
(/.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (fma.f64 x x #s(literal 0 binary64))))
(/.f64 #s(literal 0 binary64) #s(literal 0 binary64))
(/.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 3 binary64))) (fma.f64 x x #s(literal 0 binary64)))
(fma.f64 (pow.f64 x #s(literal 1 binary64)) (pow.f64 x #s(literal 1 binary64)) (*.f64 x x))
(fma.f64 (neg.f64 (neg.f64 x)) (neg.f64 (neg.f64 x)) (*.f64 x x))
(fma.f64 (neg.f64 (fabs.f64 x)) (neg.f64 (fabs.f64 x)) (*.f64 x x))
(fma.f64 (fabs.f64 (fabs.f64 x)) (fabs.f64 (fabs.f64 x)) (*.f64 x x))
(fma.f64 (neg.f64 x) (neg.f64 x) (*.f64 x x))
(fma.f64 (fabs.f64 x) (fabs.f64 x) (*.f64 x x))
(fma.f64 x x (*.f64 x x))
(-.f64 (/.f64 (*.f64 x x) #s(literal 0 binary64)) (/.f64 (*.f64 x x) #s(literal 0 binary64)))
(-.f64 (*.f64 x x) (*.f64 x (neg.f64 x)))
(-.f64 (*.f64 x x) (*.f64 (neg.f64 (neg.f64 x)) (neg.f64 x)))
(-.f64 (*.f64 x x) (*.f64 (neg.f64 (fabs.f64 x)) (fabs.f64 x)))
(-.f64 (*.f64 x x) (*.f64 (neg.f64 x) x))
(+.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x x #s(literal 0 binary64))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x x #s(literal 0 binary64))))
(+.f64 (*.f64 x x) (*.f64 x x))
(+.f64 x x)
(*.f64 (*.f64 #s(literal 2 binary64) (neg.f64 x)) (neg.f64 x))
(*.f64 (*.f64 #s(literal 2 binary64) (fabs.f64 x)) (fabs.f64 x))
(*.f64 (neg.f64 x) (*.f64 (neg.f64 x) #s(literal 2 binary64)))
(*.f64 (neg.f64 x) (+.f64 (neg.f64 x) (neg.f64 x)))
(*.f64 (fabs.f64 x) (*.f64 (fabs.f64 x) #s(literal 2 binary64)))
(*.f64 (fabs.f64 x) (+.f64 (fabs.f64 x) (fabs.f64 x)))
(*.f64 (*.f64 x x) #s(literal 2 binary64))
(*.f64 (*.f64 #s(literal 2 binary64) x) x)
(*.f64 #s(literal 2 binary64) (*.f64 x x))
(*.f64 #s(literal 2 binary64) x)
(*.f64 x (*.f64 #s(literal 2 binary64) x))
(*.f64 x #s(literal 2 binary64))
(/.f64 (*.f64 #s(literal 0 binary64) x) #s(literal 0 binary64))
(/.f64 (*.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 3 binary64))) x) (fma.f64 x x #s(literal 0 binary64)))
(/.f64 (*.f64 x (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 x x #s(literal 0 binary64)))
(/.f64 (-.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 (*.f64 x x) (*.f64 x x))) #s(literal 0 binary64))
(/.f64 (+.f64 (pow.f64 (*.f64 x x) #s(literal 3 binary64)) (pow.f64 (*.f64 x x) #s(literal 3 binary64))) (fma.f64 (*.f64 x x) (*.f64 x x) (-.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 (*.f64 x x) (*.f64 x x)))))
(/.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (fma.f64 x x #s(literal 0 binary64))))
(/.f64 #s(literal 0 binary64) #s(literal 0 binary64))
(/.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 3 binary64))) (fma.f64 x x #s(literal 0 binary64)))
(fma.f64 (pow.f64 x #s(literal 1 binary64)) (pow.f64 x #s(literal 1 binary64)) (*.f64 x x))
(fma.f64 (neg.f64 (neg.f64 x)) (neg.f64 (neg.f64 x)) (*.f64 x x))
(fma.f64 (neg.f64 (fabs.f64 x)) (neg.f64 (fabs.f64 x)) (*.f64 x x))
(fma.f64 (fabs.f64 (fabs.f64 x)) (fabs.f64 (fabs.f64 x)) (*.f64 x x))
(fma.f64 (neg.f64 x) (neg.f64 x) (*.f64 x x))
(fma.f64 (fabs.f64 x) (fabs.f64 x) (*.f64 x x))
(fma.f64 x x (*.f64 x x))
(-.f64 (/.f64 (*.f64 x x) #s(literal 0 binary64)) (/.f64 (*.f64 x x) #s(literal 0 binary64)))
(-.f64 (*.f64 x x) (*.f64 x (neg.f64 x)))
(-.f64 (*.f64 x x) (*.f64 (neg.f64 (neg.f64 x)) (neg.f64 x)))
(-.f64 (*.f64 x x) (*.f64 (neg.f64 (fabs.f64 x)) (fabs.f64 x)))
(-.f64 (*.f64 x x) (*.f64 (neg.f64 x) x))
(+.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x x #s(literal 0 binary64))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x x #s(literal 0 binary64))))
(+.f64 (*.f64 x x) (*.f64 x x))
(+.f64 x x)

eval9.0ms (1%)

Memory
-22.9MiB live, 6.6MiB allocated
Compiler

Compiled 331 to 78 computations (76.4% saved)

prune1.0ms (0.2%)

Memory
3.1MiB live, 3.1MiB allocated
Pruning

2 alts after pruning (1 fresh and 1 done)

PrunedKeptTotal
New36137
Fresh000
Picked011
Done000
Total36238
Accuracy
100.0%
Counts
38 → 2
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶7.0%
(+.f64 x x)
✓100.0%
(*.f64 (*.f64 x #s(literal 2 binary64)) x)
Compiler

Compiled 8 to 6 computations (25% saved)

simplify3.0ms (0.3%)

Memory
2.7MiB live, 2.7MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 1 expressions of interest:

NewMetricScoreProgram
cost-diff0
(+.f64 x x)
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
024
034
154
284
3104
0104
Stop Event
1×iter limit
1×saturated
1×iter limit
Calls
Call 1
Inputs
(+.f64 x x)
x
Outputs
(+.f64 x x)
(*.f64 #s(literal 2 binary64) x)
x

localize7.0ms (0.7%)

Memory
8.4MiB live, 8.4MiB allocated
Localize:

Found 1 expressions of interest:

NewMetricScoreProgram
accuracy0.0
(+.f64 x x)
Samples
5.0ms256×0valid
Compiler

Compiled 6 to 4 computations (33.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 1.0ms
ival-add: 1.0ms (73.5% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series1.0ms (0.1%)

Memory
1.1MiB live, 1.1MiB allocated
Counts
1 → 1
Calls
Call 1
Inputs
(+.f64 x x)
Outputs
(* 2 x)
Calls

3 calls:

TimeVariablePointExpression
0.0ms
x
@inf
((+ x x))
0.0ms
x
@-inf
((+ x x))
0.0ms
x
@0
((+ x x))

simplify2.0ms (0.2%)

Memory
2.2MiB live, 2.2MiB allocated
Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
033
173
293
093
Stop Event
1×iter limit
1×saturated
Counts
1 → 1
Calls
Call 1
Inputs
(* 2 x)
Outputs
(* 2 x)
(*.f64 #s(literal 2 binary64) x)

rewrite22.0ms (2.3%)

Memory
-18.8MiB live, 11.3MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
023
033
1143
0883
Stop Event
1×iter limit
1×iter limit
1×iter limit
1×unsound
1×iter limit
Counts
1 → 8
Calls
Call 1
Inputs
(+.f64 x x)
Outputs
(*.f64 #s(literal 2 binary64) x)
(*.f64 x #s(literal 2 binary64))
(/.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (fma.f64 x x #s(literal 0 binary64))))
(/.f64 #s(literal 0 binary64) #s(literal 0 binary64))
(/.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 3 binary64))) (fma.f64 x x #s(literal 0 binary64)))
(-.f64 (/.f64 (*.f64 x x) #s(literal 0 binary64)) (/.f64 (*.f64 x x) #s(literal 0 binary64)))
(+.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x x #s(literal 0 binary64))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x x #s(literal 0 binary64))))
(+.f64 x x)

eval1.0ms (0.1%)

Memory
1.3MiB live, 1.3MiB allocated
Compiler

Compiled 69 to 22 computations (68.1% saved)

prune1.0ms (0.1%)

Memory
2.7MiB live, 2.7MiB allocated
Pruning

2 alts after pruning (0 fresh and 2 done)

PrunedKeptTotal
New909
Fresh000
Picked011
Done011
Total9211
Accuracy
100.0%
Counts
11 → 2
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓7.0%
(+.f64 x x)
✓100.0%
(*.f64 (*.f64 x #s(literal 2 binary64)) x)
Compiler

Compiled 16 to 11 computations (31.3% saved)

regimes3.0ms (0.3%)

Memory
5.5MiB live, 5.5MiB allocated
Counts
2 → 1
Calls
Call 1
Inputs
(+.f64 x x)
(*.f64 (*.f64 x #s(literal 2 binary64)) x)
Outputs
(*.f64 (*.f64 x #s(literal 2 binary64)) x)
Calls

2 calls:

1.0ms
x
1.0ms
(*.f64 (*.f64 x #s(literal 2 binary64)) x)
Results
AccuracySegmentsBranch
100.0%1(*.f64 (*.f64 x #s(literal 2 binary64)) x)
100.0%1x
Compiler

Compiled 6 to 5 computations (16.7% saved)

regimes2.0ms (0.2%)

Memory
5.5MiB live, 5.5MiB allocated
Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts
1 → 1
Calls
Call 1
Inputs
(+.f64 x x)
Outputs
(+.f64 x x)
Calls

2 calls:

1.0ms
x
1.0ms
(*.f64 (*.f64 x #s(literal 2 binary64)) x)
Results
AccuracySegmentsBranch
7.0%1(*.f64 (*.f64 x #s(literal 2 binary64)) x)
7.0%1x
Compiler

Compiled 6 to 5 computations (16.7% saved)

simplify39.0ms (4%)

Memory
-3.0MiB live, 32.9MiB allocated
Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
058
178
298
3128
4198
5418
61978
718618
835078
Stop Event
1×node limit
Calls
Call 1
Inputs
(*.f64 (*.f64 x #s(literal 2 binary64)) x)
(+.f64 x x)
Outputs
(*.f64 (*.f64 x #s(literal 2 binary64)) x)
(+.f64 x x)

soundness24.0ms (2.4%)

Memory
3.8MiB live, 35.4MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
048
066
1116
2186
3336
01806
Stop Event
1×done
1×iter limit
1×iter limit
1×iter limit
1×unsound
1×iter limit
Compiler

Compiled 16 to 10 computations (37.5% saved)

preprocess24.0ms (2.5%)

Memory
4.0MiB live, 34.1MiB allocated
Remove

(abs x)

Compiler

Compiled 56 to 42 computations (25% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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