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

Time bar (total: 2.2s)

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)

sample754.0ms (34.4%)

Memory
36.2MiB live, 698.0MiB allocated; 154ms collecting garbage
Samples
438.0ms8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 224.0ms
ival-mult: 210.0ms (93.6% of total)
ival-true: 5.0ms (2.2% of total)
exact: 4.0ms (1.8% of total)
ival-assert: 3.0ms (1.3% of total)
adjust: 2.0ms (0.9% of total)
Bogosity

explain108.0ms (4.9%)

Memory
-32.3MiB live, 113.6MiB 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
36.0ms512×0valid
Compiler

Compiled 29 to 16 computations (44.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 7.0ms
ival-mult: 6.0ms (81.4% 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)

preprocess208.0ms (9.5%)

Memory
13.6MiB live, 303.7MiB allocated; 39ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0615
11910
25910
314710
425310
585210
6449010
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
1.2MiB live, 1.2MiB 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)

simplify159.0ms (7.3%)

Memory
-21.4MiB live, 214.7MiB allocated; 61ms 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)

localize31.0ms (1.4%)

Memory
17.6MiB live, 56.8MiB allocated; 16ms 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
27.0ms256×0valid
Compiler

Compiled 12 to 6 computations (50% saved)

Precisions
Click to see histograms. Total time spent on operations: 17.0ms
ival-mult: 17.0ms (99% 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)

series2.0ms (0.1%)

Memory
10.1MiB live, 10.1MiB 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
@0
((* (* x 2) x) (* x 2))
1.0ms
x
@inf
((* (* x 2) x) (* x 2))
1.0ms
x
@-inf
((* (* x 2) x) (* x 2))

simplify183.0ms (8.3%)

Memory
12.5MiB live, 207.0MiB allocated; 41ms 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))

rewrite31.0ms (1.4%)

Memory
-28.3MiB live, 64.7MiB allocated; 5ms 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
4.0MiB live, 4.0MiB allocated; 0ms collecting garbage
Compiler

Compiled 89 to 29 computations (67.4% saved)

prune1.0ms (0%)

Memory
3.7MiB live, 3.7MiB 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)

simplify188.0ms (8.6%)

Memory
27.4MiB live, 200.3MiB allocated; 86ms 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

localize11.0ms (0.5%)

Memory
19.5MiB live, 19.5MiB allocated; 0ms collecting garbage
Localize:

Found 2 expressions of interest:

NewMetricScoreProgram
accuracy0.0
(+.f64 x x)
accuracy0.0
(*.f64 (+.f64 x x) x)
Samples
8.0ms256×0valid
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 (63.9% of total)
ival-add: 1.0ms (32% 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
3.7MiB live, 3.7MiB 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))

simplify192.0ms (8.8%)

Memory
-3.3MiB live, 141.6MiB allocated; 51ms 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 (1.2%)

Memory
-18.3MiB live, 26.2MiB allocated; 6ms 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
3.3MiB live, 3.3MiB allocated; 0ms collecting garbage
Compiler

Compiled 155 to 40 computations (74.2% saved)

prune1.0ms (0%)

Memory
2.5MiB live, 2.5MiB 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
7.0%
(+.f64 x x)
100.0%
(*.f64 (+.f64 x x) x)
Compiler

Compiled 8 to 5 computations (37.5% saved)

simplify100.0ms (4.6%)

Memory
1.1MiB live, 96.1MiB allocated; 21ms 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

localize9.0ms (0.4%)

Memory
14.5MiB live, 14.5MiB allocated; 0ms collecting garbage
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: 2.0ms
ival-add: 1.0ms (65.3% 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
1.6MiB live, 1.6MiB 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))

simplify96.0ms (4.4%)

Memory
-16.0MiB live, 73.1MiB allocated; 13ms 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))

rewrite42.0ms (1.9%)

Memory
1.8MiB live, 52.5MiB allocated; 16ms 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
1.8MiB live, 1.8MiB allocated; 0ms collecting garbage
Compiler

Compiled 69 to 22 computations (68.1% saved)

prune1.0ms (0.1%)

Memory
2.9MiB live, 2.9MiB 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
7.0%
(+.f64 x x)
100.0%
(*.f64 (+.f64 x x) x)
Compiler

Compiled 21 to 11 computations (47.6% saved)

regimes3.0ms (0.1%)

Memory
7.6MiB live, 7.6MiB 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
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 (0.1%)

Memory
5.8MiB live, 5.8MiB 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:

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)

simplify16.0ms (0.7%)

Memory
-25.5MiB live, 19.0MiB allocated; 11ms 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)

derivations2.0ms (0.1%)

Memory
3.3MiB live, 3.3MiB allocated; 0ms collecting garbage
Stop Event
done
Compiler

Compiled 8 to 3 computations (62.5% saved)

preprocess15.0ms (0.7%)

Memory
33.1MiB live, 33.1MiB allocated; 0ms 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...