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

Time bar (total: 2.1s)

start0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

analyze0.0ms (0%)

Memory
0.2MiB live, 0.2MiB allocated
Algorithm
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)

sample1.1s (49.6%)

Memory
-14.6MiB live, 688.7MiB allocated
Samples
481.0ms8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 357.0ms
ival-mult: 344.0ms (96.3% of total)
ival-true: 6.0ms (1.7% of total)
exact: 5.0ms (1.4% of total)
ival-assert: 3.0ms (0.8% of total)
Bogosity

explain65.0ms (3%)

Memory
28.9MiB live, 68.2MiB 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
17.0ms512×0valid
Compiler

Compiled 39 to 20 computations (48.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 7.0ms
ival-mult: 7.0ms (93.8% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

preprocess318.0ms (14.9%)

Memory
-4.3MiB live, 160.4MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0615
12510
26510
318810
428710
545110
686310
7104110
8125410
9230510
10297710
11408710
12569810
13647710
14755810
15797310
045
065
1115
2175
3235
4585
51925
65885
79155
812985
926815
1031795
1138105
1241655
1345435
1450845
1565325
1676875
1779645
081335
Stop Event
iter limit
node limit
iter limit
node limit
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
0.3MiB live, 0.3MiB allocated
Compiler

Compiled 0 to 1 computations (-∞% saved)

prune0.0ms (0%)

Memory
0.8MiB live, 0.8MiB 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)

simplify177.0ms (8.2%)

Memory
-18.4MiB live, 62.3MiB allocated
Algorithm
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
32310
45810
519210
658810
791510
8129810
9268110
10317910
11381010
12416510
13454310
14508410
15653210
16768710
17796410
0813310
Stop Event
iter limit
node limit
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)

localize12.0ms (0.6%)

Memory
13.5MiB live, 13.5MiB allocated
Localize:

Found 2 expressions of interest:

NewMetricScoreProgram
accuracy0
(*.f64 (*.f64 x #s(literal 2 binary64)) x)
accuracy0
(*.f64 x #s(literal 2 binary64))
Samples
8.0ms256×0valid
Compiler

Compiled 22 to 10 computations (54.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 3.0ms
ival-mult: 3.0ms (86.4% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series2.0ms (0.1%)

Memory
4.1MiB live, 4.1MiB 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))

simplify209.0ms (9.7%)

Memory
7.5MiB live, 84.8MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
058
1128
2238
3648
41958
56038
69318
713118
826948
931928
1038238
1141788
1245568
1350978
1465478
1577028
1679798
081488
Stop Event
iter limit
node limit
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)

rewrite134.0ms (6.3%)

Memory
-32.6MiB live, 50.3MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
048
066
1116
2186
3346
01926
Stop Event
iter limit
iter limit
iter limit
unsound
iter limit
Counts
2 → 76
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 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) #s(literal 0 binary64)))
(*.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 0 binary64))))
(*.f64 (neg.f64 x) (*.f64 (neg.f64 x) #s(literal 2 binary64)))
(*.f64 (neg.f64 x) (fma.f64 #s(literal -1 binary64) 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)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x x #s(literal 0 binary64)) (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) x))
(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 (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 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) #s(literal 0 binary64)))
(*.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 0 binary64))))
(*.f64 (neg.f64 x) (*.f64 (neg.f64 x) #s(literal 2 binary64)))
(*.f64 (neg.f64 x) (fma.f64 #s(literal -1 binary64) 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)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x x #s(literal 0 binary64)) (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) x))
(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 (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)

eval4.0ms (0.2%)

Memory
5.8MiB live, 5.8MiB allocated
Compiler

Compiled 355 to 84 computations (76.3% saved)

prune2.0ms (0.1%)

Memory
3.8MiB live, 3.8MiB allocated
Pruning

2 alts after pruning (1 fresh and 1 done)

PrunedKeptTotal
New39140
Fresh000
Picked011
Done000
Total39241
Accuracy
100.0%
Counts
41 → 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)

simplify5.0ms (0.2%)

Memory
3.6MiB live, 3.6MiB allocated
Algorithm
egg-herbie
Localize:

Found 1 expressions of interest:

NewMetricScoreProgram
cost-diff-128
(+.f64 x x)
Iterations

Useful iterations: 0 (0.0ms)

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

localize8.0ms (0.4%)

Memory
9.6MiB live, 9.6MiB allocated
Localize:

Found 1 expressions of interest:

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

Compiled 10 to 6 computations (40% saved)

Precisions
Click to see histograms. Total time spent on operations: 1.0ms
ival-add: 1.0ms (68.1% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series1.0ms (0%)

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))

simplify4.0ms (0.2%)

Memory
2.9MiB live, 2.9MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

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

rewrite28.0ms (1.3%)

Memory
2.9MiB live, 41.3MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
023
033
1143
01003
Stop Event
iter limit
iter limit
iter limit
unsound
iter limit
Counts
1 → 12
Calls
Call 1
Inputs
(+.f64 x x)
Outputs
(*.f64 #s(literal 2 binary64) x)
(*.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) #s(literal 0 binary64)))
(*.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 0 binary64))))
(*.f64 x #s(literal 2 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x x #s(literal 0 binary64)) (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) 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)))
(-.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
3.6MiB live, 3.6MiB allocated
Compiler

Compiled 103 to 30 computations (70.9% saved)

prune3.0ms (0.1%)

Memory
-33.6MiB live, 5.3MiB allocated
Pruning

2 alts after pruning (0 fresh and 2 done)

PrunedKeptTotal
New13013
Fresh000
Picked011
Done011
Total13215
Accuracy
100.0%
Counts
15 → 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)

regimes4.0ms (0.2%)

Memory
11.3MiB live, 11.3MiB 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:

2.0ms
(*.f64 (*.f64 x #s(literal 2 binary64)) x)
2.0ms
x
Results
AccuracySegmentsBranch
100.0%1x
100.0%1(*.f64 (*.f64 x #s(literal 2 binary64)) x)
Compiler

Compiled 6 to 5 computations (16.7% saved)

regimes3.0ms (0.1%)

Memory
6.7MiB live, 6.7MiB 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%1x
7.0%1(*.f64 (*.f64 x #s(literal 2 binary64)) x)
Compiler

Compiled 6 to 5 computations (16.7% saved)

simplify31.0ms (1.4%)

Memory
13.8MiB live, 53.1MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
058
178
Stop Event
saturated
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 (*.f64 #s(literal 2 binary64) x) x)
(+.f64 x x)

soundness32.0ms (1.5%)

Memory
1.8MiB live, 40.2MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
048
066
1116
2186
3346
01926
Stop Event
done
iter limit
iter limit
iter limit
unsound
iter limit
Compiler

Compiled 16 to 10 computations (37.5% saved)

preprocess38.0ms (1.8%)

Memory
-31.5MiB live, 88.0MiB allocated
Remove

(abs x)

Compiler

Compiled 56 to 42 computations (25% saved)

end0.0ms (0%)

Memory
0.1MiB live, 0.1MiB allocated

Profiling

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