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

Time bar (total: 2.5s)

start0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated; 0ms collecting garbage

analyze0.0ms (0%)

Memory
0.4MiB live, 0.4MiB allocated; 0ms collecting garbage
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)

sample870.0ms (35.3%)

Memory
7.8MiB live, 1 192.5MiB allocated; 220ms collecting garbage
Samples
661.0ms8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 261.0ms
ival-mult: 243.0ms (93.3% of total)
ival-true: 6.0ms (2.3% of total)
exact: 6.0ms (2.3% of total)
ival-assert: 3.0ms (1.2% of total)
adjust: 2.0ms (0.8% of total)
Bogosity

explain56.0ms (2.3%)

Memory
5.9MiB live, 104.1MiB allocated; 10ms collecting garbage
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
18.0ms512×0valid
Compiler

Compiled 29 to 16 computations (44.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 8.0ms
ival-mult: 7.0ms (89.6% of total)
ival-true: 0.0ms (0% of total)
adjust: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

preprocess270.0ms (11%)

Memory
-6.7MiB live, 176.9MiB allocated; 54ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0818
12315
26415
316015
426615
5104615
6466215
045
065
1115
2225
3585
41465
56515
643845
080135
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 #s(literal 2 binary64) x) x)
Symmetry

(abs x)

Compiler

Compiled 5 to 4 computations (20% saved)

eval0.0ms (0%)

Memory
0.1MiB live, 0.1MiB allocated; 0ms collecting garbage
Compiler

Compiled 0 to 1 computations (-∞% saved)

prune0.0ms (0%)

Memory
1.0MiB live, 1.0MiB allocated; 0ms collecting garbage
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)

simplify138.0ms (5.6%)

Memory
25.7MiB live, 110.3MiB allocated; 31ms collecting garbage
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
22210
35810
414610
565110
6438410
0801310
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 #s(literal 2 binary64) x) x)
(*.f64 x #s(literal 2 binary64))
(*.f64 #s(literal 2 binary64) x)
x
#s(literal 2 binary64)

localize57.0ms (2.3%)

Memory
-13.9MiB live, 43.0MiB allocated; 29ms collecting garbage
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
53.0ms256×0valid
Compiler

Compiled 12 to 6 computations (50% saved)

Precisions
Click to see histograms. Total time spent on operations: 34.0ms
ival-mult: 33.0ms (97.4% of total)
ival-true: 0.0ms (0% of total)
adjust: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series3.0ms (0.1%)

Memory
5.1MiB live, 5.1MiB allocated; 0ms collecting garbage
Counts
2 → 2
Calls
Call 1
Inputs
(*.f64 (*.f64 x #s(literal 2 binary64)) x)
(*.f64 x #s(literal 2 binary64))
Outputs
#s(approx (* (* x 2) x) #s(hole binary64 (* 2 (pow x 2))))
#s(approx (* x 2) #s(hole binary64 (* 2 x)))
Calls

3 calls:

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

simplify168.0ms (6.8%)

Memory
-2.1MiB live, 183.0MiB allocated; 49ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0918
11818
23818
311718
428118
599118
6442318
0803318
Stop Event
iter limit
node limit
Counts
2 → 2
Calls
Call 1
Inputs
#s(approx (* (* x 2) x) #s(hole binary64 (* 2 (pow x 2))))
#s(approx (* x 2) #s(hole binary64 (* 2 x)))
Outputs
#s(approx (* (* x 2) x) #s(hole binary64 (* 2 (pow x 2))))
#s(approx (* (* x 2) x) (*.f64 (*.f64 #s(literal 2 binary64) x) x))
#s(approx (* x 2) #s(hole binary64 (* 2 x)))
#s(approx (* x 2) (*.f64 #s(literal 2 binary64) x))

rewrite30.0ms (1.2%)

Memory
-1.4MiB live, 43.8MiB allocated; 10ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
048
068
1118
0308
Stop Event
iter limit
iter limit
iter limit
unsound
iter limit
Counts
2 → 11
Calls
Call 1
Inputs
(*.f64 (*.f64 x #s(literal 2 binary64)) x)
(*.f64 x #s(literal 2 binary64))
Outputs
(*.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 x (*.f64 #s(literal 2 binary64) x))
(*.f64 #s(literal 2 binary64) x)
(*.f64 x #s(literal 2 binary64))
(fma.f64 #s(literal 1 binary64) x (*.f64 #s(literal 1 binary64) x))
(fma.f64 x #s(literal 1 binary64) (*.f64 x #s(literal 1 binary64)))
(+.f64 (*.f64 #s(literal 1 binary64) x) (*.f64 #s(literal 1 binary64) x))
(+.f64 (*.f64 x #s(literal 1 binary64)) (*.f64 x #s(literal 1 binary64)))
(+.f64 x x)

eval1.0ms (0.1%)

Memory
3.2MiB live, 3.2MiB allocated; 0ms collecting garbage
Compiler

Compiled 89 to 29 computations (67.4% saved)

prune1.0ms (0%)

Memory
2.8MiB live, 2.8MiB allocated; 0ms collecting garbage
Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New12113
Fresh000
Picked101
Done000
Total13114
Accuracy
100.0%
Counts
14 → 1
Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(*.f64 (+.f64 x x) x)
Compiler

Compiled 5 to 3 computations (40% saved)

simplify118.0ms (4.8%)

Memory
9.3MiB live, 154.9MiB allocated; 25ms collecting garbage
Localize:

Found 2 expressions of interest:

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

Useful iterations: 0 (0.0ms)

IterNodesCost
039
059
189
2159
3299
4969
52439
68439
743049
080839
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(*.f64 (+.f64 x x) x)
(+.f64 x x)
x
Outputs
(*.f64 (+.f64 x x) x)
(*.f64 (*.f64 #s(literal 2 binary64) x) x)
(+.f64 x x)
(*.f64 #s(literal 2 binary64) x)
x

localize16.0ms (0.6%)

Memory
-10.6MiB live, 33.9MiB allocated; 8ms collecting garbage
Localize:

Found 2 expressions of interest:

NewMetricScoreProgram
accuracy0.0
(+.f64 x x)
accuracy0.0
(*.f64 (+.f64 x x) x)
Samples
12.0ms256×0valid
Compiler

Compiled 11 to 5 computations (54.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 3.0ms
ival-mult: 2.0ms (57.2% of total)
ival-add: 1.0ms (28.6% of total)
ival-true: 0.0ms (0% of total)
adjust: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series2.0ms (0.1%)

Memory
5.1MiB live, 5.1MiB allocated; 0ms collecting garbage
Counts
2 → 2
Calls
Call 1
Inputs
(*.f64 (+.f64 x x) x)
(+.f64 x x)
Outputs
#s(approx (* (+ x x) x) #s(hole binary64 (* 2 (pow x 2))))
#s(approx (+ x x) #s(hole binary64 (* 2 x)))
Calls

3 calls:

TimeVariablePointExpression
1.0ms
x
@inf
((* (+ x x) x) (+ x x))
1.0ms
x
@-inf
((* (+ x x) x) (+ x x))
0.0ms
x
@0
((* (+ x x) x) (+ x x))

simplify279.0ms (11.3%)

Memory
-27.3MiB live, 166.1MiB allocated; 159ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0918
11718
23718
311618
428018
599218
6442718
0807518
Stop Event
iter limit
node limit
Counts
2 → 2
Calls
Call 1
Inputs
#s(approx (* (+ x x) x) #s(hole binary64 (* 2 (pow x 2))))
#s(approx (+ x x) #s(hole binary64 (* 2 x)))
Outputs
#s(approx (* (+ x x) x) #s(hole binary64 (* 2 (pow x 2))))
#s(approx (* (+ x x) x) (*.f64 (*.f64 #s(literal 2 binary64) x) x))
#s(approx (+ x x) #s(hole binary64 (* 2 x)))
#s(approx (+ x x) (*.f64 #s(literal 2 binary64) x))

rewrite27.0ms (1.1%)

Memory
8.3MiB live, 53.5MiB allocated; 3ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
038
056
1176
01056
Stop Event
iter limit
iter limit
iter limit
unsound
iter limit
Counts
2 → 36
Calls
Call 1
Inputs
(*.f64 (+.f64 x x) x)
(+.f64 x x)
Outputs
(*.f64 #s(literal 2 binary64) (*.f64 x x))
(*.f64 #s(literal 2 binary64) x)
(*.f64 (*.f64 #s(literal 2 binary64) x) x)
(*.f64 x #s(literal 2 binary64))
(*.f64 x (*.f64 #s(literal 2 binary64) x))
(/.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 (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 (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 (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 #s(literal 2 binary64) (*.f64 x x))
(*.f64 #s(literal 2 binary64) x)
(*.f64 (*.f64 #s(literal 2 binary64) x) x)
(*.f64 x #s(literal 2 binary64))
(*.f64 x (*.f64 #s(literal 2 binary64) x))
(/.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 (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 (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 (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)

eval2.0ms (0.1%)

Memory
6.4MiB live, 6.4MiB allocated; 0ms collecting garbage
Compiler

Compiled 155 to 40 computations (74.2% saved)

prune1.0ms (0%)

Memory
3.0MiB live, 3.0MiB allocated; 0ms collecting garbage
Pruning

2 alts after pruning (1 fresh and 1 done)

PrunedKeptTotal
New19120
Fresh000
Picked011
Done000
Total19221
Accuracy
100.0%
Counts
21 → 2
Alt Table
Click to see full alt table
StatusAccuracyProgram
6.9%
(+.f64 x x)
100.0%
(*.f64 (+.f64 x x) x)
Compiler

Compiled 8 to 5 computations (37.5% saved)

simplify101.0ms (4.1%)

Memory
5.9MiB live, 107.4MiB allocated; 10ms collecting garbage
Localize:

Found 1 expressions of interest:

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

Useful iterations: 0 (0.0ms)

IterNodesCost
024
034
154
284
3154
4334
5724
62784
717374
081184
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(+.f64 x x)
x
Outputs
(+.f64 x x)
(*.f64 #s(literal 2 binary64) x)
x

localize10.0ms (0.4%)

Memory
-19.5MiB live, 26.5MiB allocated; 3ms collecting garbage
Localize:

Found 1 expressions of interest:

NewMetricScoreProgram
accuracy0.0
(+.f64 x x)
Samples
6.0ms256×0valid
Compiler

Compiled 6 to 4 computations (33.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 2.0ms
ival-add: 2.0ms (102.8% of total)
ival-true: 0.0ms (0% of total)
adjust: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series1.0ms (0%)

Memory
2.8MiB live, 2.8MiB allocated; 0ms collecting garbage
Counts
1 → 1
Calls
Call 1
Inputs
(+.f64 x x)
Outputs
#s(approx (+ x x) #s(hole binary64 (* 2 x)))
Calls

3 calls:

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

simplify108.0ms (4.4%)

Memory
26.6MiB live, 212.8MiB allocated; 29ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
057
197
2167
3347
4737
53147
617637
081507
Stop Event
iter limit
node limit
Counts
1 → 1
Calls
Call 1
Inputs
#s(approx (+ x x) #s(hole binary64 (* 2 x)))
Outputs
#s(approx (+ x x) #s(hole binary64 (* 2 x)))
#s(approx (+ x x) (*.f64 #s(literal 2 binary64) x))

rewrite66.0ms (2.7%)

Memory
-16.6MiB live, 72.1MiB allocated; 12ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
023
033
1143
0883
Stop Event
iter limit
iter limit
iter limit
unsound
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%)

Memory
2.6MiB live, 2.6MiB allocated; 0ms collecting garbage
Compiler

Compiled 69 to 22 computations (68.1% saved)

prune1.0ms (0.1%)

Memory
5.9MiB live, 5.9MiB allocated; 0ms collecting garbage
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
6.9%
(+.f64 x x)
100.0%
(*.f64 (+.f64 x x) x)
Compiler

Compiled 21 to 11 computations (47.6% saved)

regimes5.0ms (0.2%)

Memory
13.3MiB live, 13.3MiB allocated; 0ms collecting garbage
Counts
3 → 1
Calls
Call 1
Inputs
(+.f64 x x)
(*.f64 (+.f64 x x) x)
(*.f64 (*.f64 x #s(literal 2 binary64)) x)
Outputs
(*.f64 (+.f64 x x) x)
Calls

2 calls:

2.0ms
(*.f64 (*.f64 x #s(literal 2 binary64)) x)
2.0ms
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)

regimes4.0ms (0.2%)

Memory
11.3MiB live, 11.3MiB allocated; 0ms collecting garbage
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:

2.0ms
x
2.0ms
(*.f64 (*.f64 x #s(literal 2 binary64)) x)
Results
AccuracySegmentsBranch
6.9%1(*.f64 (*.f64 x #s(literal 2 binary64)) x)
6.9%1x
Compiler

Compiled 6 to 5 computations (16.7% saved)

simplify25.0ms (1%)

Memory
-16.8MiB live, 41.1MiB allocated; 6ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
038
Stop Event
saturated
Calls
Call 1
Inputs
(*.f64 (+.f64 x x) x)
(+.f64 x x)
Outputs
(*.f64 (+.f64 x x) x)
(+.f64 x x)

derivations3.0ms (0.1%)

Memory
5.7MiB live, 5.7MiB allocated; 0ms collecting garbage
Stop Event
done
Compiler

Compiled 8 to 3 computations (62.5% saved)

preprocess100.0ms (4%)

Memory
-20.0MiB live, 70.5MiB allocated; 9ms collecting garbage
Remove

(abs x)

Compiler

Compiled 46 to 28 computations (39.1% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated; 0ms collecting garbage

Profiling

Loading profile data...