math.cube on real

Time bar (total: 1.1s)

start0.0ms (0%)

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

analyze0.0ms (0%)

Memory
0.7MiB live, 0.7MiB allocated; 0ms collecting garbage
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 5 computations (28.6% saved)

sample642.0ms (58.5%)

Memory
-12.7MiB live, 968.0MiB allocated; 204ms collecting garbage
Samples
399.0ms8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 169.0ms
ival-mult: 158.0ms (93.6% of total)
ival-true: 5.0ms (3% of total)
ival-assert: 3.0ms (1.8% of total)
adjust: 2.0ms (1.2% of total)
Bogosity

explain52.0ms (4.7%)

Memory
-25.6MiB live, 92.2MiB allocated; 32ms collecting garbage
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
00-0-(*.f64 (*.f64 x x) x)
00-0-(*.f64 x x)
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 27 to 13 computations (51.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 8.0ms
ival-mult: 7.0ms (89.9% of total)
ival-true: 0.0ms (0% of total)
adjust: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

preprocess23.0ms (2.1%)

Memory
9.9MiB live, 53.5MiB allocated; 7ms collecting garbage
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0513
1209
2557
3947
41147
035
055
1103
2313
3653
4993
51063
01063
Stop Event
1×iter limit
1×saturated
1×iter limit
1×saturated
Calls
Call 1
Inputs
(*.f64 (*.f64 x x) x)
Outputs
(*.f64 (*.f64 x x) x)
(pow.f64 x #s(literal 3 binary64))
Symmetry

(negabs x)

Compiler

Compiled 5 to 3 computations (40% 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
1.4MiB live, 1.4MiB allocated; 0ms collecting garbage
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶99.8%
(*.f64 (*.f64 x x) x)
Compiler

Compiled 5 to 3 computations (40% saved)

simplify4.0ms (0.4%)

Memory
10.4MiB live, 10.4MiB allocated; 0ms collecting garbage
Localize:

Found 2 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 x x)
cost-diff2
(*.f64 (*.f64 x x) x)
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
039
059
1107
2317
3657
4997
51067
01067
Stop Event
1×iter limit
1×saturated
1×iter limit
Calls
Call 1
Inputs
(*.f64 (*.f64 x x) x)
(*.f64 x x)
x
Outputs
(*.f64 (*.f64 x x) x)
(pow.f64 x #s(literal 3 binary64))
(*.f64 x x)
x

localize12.0ms (1.1%)

Memory
21.3MiB live, 21.3MiB allocated; 0ms collecting garbage
Localize:

Found 2 expressions of interest:

NewMetricScoreProgram
accuracy0.0
(*.f64 x x)
accuracy0.1015625
(*.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: 4.0ms
ival-mult: 3.0ms (84.2% of total)
ival-true: 0.0ms (0% of total)
adjust: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series3.0ms (0.2%)

Memory
5.9MiB live, 5.9MiB 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 (pow x 3)))
#s(approx (* x x) #s(hole binary64 (pow x 2)))
Calls

3 calls:

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

simplify190.0ms (17.3%)

Memory
-12.0MiB live, 171.4MiB allocated; 50ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0914
11814
24314
38314
414714
527014
6123514
7399214
0803214
Stop Event
1×iter limit
1×node limit
Counts
2 → 2
Calls
Call 1
Inputs
#s(approx (* (* x x) x) #s(hole binary64 (pow x 3)))
#s(approx (* x x) #s(hole binary64 (pow x 2)))
Outputs
#s(approx (* (* x x) x) #s(hole binary64 (pow x 3)))
#s(approx (* (* x x) x) (pow.f64 x #s(literal 3 binary64)))
#s(approx (* x x) #s(hole binary64 (pow x 2)))
#s(approx (* x x) (*.f64 x x))

rewrite46.0ms (4.2%)

Memory
-3.5MiB live, 98.0MiB allocated; 16ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
038
056
1146
2506
02056
Stop Event
1×iter limit
1×iter limit
1×iter limit
1×unsound
1×iter limit
Counts
2 → 29
Calls
Call 1
Inputs
(*.f64 (*.f64 x x) x)
(*.f64 x x)
Outputs
(*.f64 (neg.f64 (pow.f64 x #s(literal 3/2 binary64))) (neg.f64 (pow.f64 x #s(literal 3/2 binary64))))
(*.f64 (fabs.f64 (pow.f64 x #s(literal 3/2 binary64))) (fabs.f64 (pow.f64 x #s(literal 3/2 binary64))))
(*.f64 (*.f64 x x) (neg.f64 x))
(*.f64 (*.f64 x x) x)
(*.f64 (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3/2 binary64)))
(*.f64 (neg.f64 x) (*.f64 x x))
(*.f64 x (*.f64 x x))
(pow.f64 (exp.f64 (log.f64 x)) #s(literal 3 binary64))
(pow.f64 (*.f64 x x) #s(literal 3/2 binary64))
(pow.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 2 binary64))
(pow.f64 x #s(literal 3 binary64))
(neg.f64 (pow.f64 x #s(literal 3 binary64)))
(exp.f64 (*.f64 (log.f64 x) #s(literal 3 binary64)))
(+.f64 (cosh.f64 (*.f64 (log.f64 x) #s(literal 3 binary64))) (sinh.f64 (*.f64 (log.f64 x) #s(literal 3 binary64))))
(*.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 x)))
(*.f64 (neg.f64 x) (neg.f64 x))
(*.f64 (neg.f64 x) x)
(*.f64 x (neg.f64 x))
(*.f64 x x)
(pow.f64 (exp.f64 (log.f64 x)) #s(literal 2 binary64))
(pow.f64 (*.f64 x x) #s(literal 1 binary64))
(pow.f64 (neg.f64 x) #s(literal 2 binary64))
(pow.f64 x #s(literal 2 binary64))
(neg.f64 (*.f64 x x))
(sqrt.f64 (*.f64 (*.f64 x x) (*.f64 x x)))
(fabs.f64 (*.f64 x x))
(exp.f64 (*.f64 (log.f64 (neg.f64 x)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)))
(+.f64 (cosh.f64 (*.f64 (log.f64 x) #s(literal 2 binary64))) (sinh.f64 (*.f64 (log.f64 x) #s(literal 2 binary64))))

eval3.0ms (0.3%)

Memory
8.1MiB live, 8.1MiB allocated; 0ms collecting garbage
Compiler

Compiled 211 to 68 computations (67.8% saved)

prune2.0ms (0.2%)

Memory
4.6MiB live, 4.6MiB allocated; 0ms collecting garbage
Pruning

2 alts after pruning (1 fresh and 1 done)

PrunedKeptTotal
New30131
Fresh000
Picked011
Done000
Total30232
Accuracy
100.0%
Counts
32 → 2
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶100.0%
(pow.f64 x #s(literal 3 binary64))
✓99.8%
(*.f64 (*.f64 x x) x)
Compiler

Compiled 8 to 6 computations (25% saved)

simplify19.0ms (1.8%)

Memory
-34.0MiB live, 11.0MiB allocated; 3ms collecting garbage
Localize:

Found 1 expressions of interest:

NewMetricScoreProgram
cost-diff0
(pow.f64 x #s(literal 3 binary64))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
035
045
175
2115
3305
4635
5965
61035
01035
Stop Event
1×iter limit
1×saturated
1×iter limit
Calls
Call 1
Inputs
(pow.f64 x #s(literal 3 binary64))
x
#s(literal 3 binary64)
Outputs
(pow.f64 x #s(literal 3 binary64))
x
#s(literal 3 binary64)

localize12.0ms (1.1%)

Memory
23.6MiB live, 23.6MiB allocated; 0ms collecting garbage
Localize:

Found 1 expressions of interest:

NewMetricScoreProgram
accuracy0.0
(pow.f64 x #s(literal 3 binary64))
Samples
8.0ms256×0valid
Compiler

Compiled 7 to 5 computations (28.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 3.0ms
ival-pow: 3.0ms (87.6% 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)

series1.0ms (0.1%)

Memory
2.5MiB live, 2.5MiB allocated; 0ms collecting garbage
Counts
1 → 1
Calls
Call 1
Inputs
(pow.f64 x #s(literal 3 binary64))
Outputs
#s(approx (pow x 3) #s(hole binary64 (pow x 3)))
Calls

3 calls:

TimeVariablePointExpression
0.0ms
x
@-inf
((pow x 3))
0.0ms
x
@inf
((pow x 3))
0.0ms
x
@0
((pow x 3))

simplify4.0ms (0.4%)

Memory
4.9MiB live, 4.9MiB allocated; 0ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
047
177
2117
3307
4637
5967
61037
01037
Stop Event
1×iter limit
1×saturated
Counts
1 → 1
Calls
Call 1
Inputs
#s(approx (pow x 3) #s(hole binary64 (pow x 3)))
Outputs
#s(approx (pow x 3) #s(hole binary64 (pow x 3)))
#s(approx (pow x 3) (pow.f64 x #s(literal 3 binary64)))

rewrite18.0ms (1.7%)

Memory
12.4MiB live, 12.4MiB allocated; 0ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
033
043
1153
0473
Stop Event
1×iter limit
1×iter limit
1×iter limit
1×unsound
1×iter limit
Counts
1 → 11
Calls
Call 1
Inputs
(pow.f64 x #s(literal 3 binary64))
Outputs
(*.f64 (neg.f64 (pow.f64 x #s(literal 3/2 binary64))) (neg.f64 (pow.f64 x #s(literal 3/2 binary64))))
(*.f64 (fabs.f64 (pow.f64 x #s(literal 3/2 binary64))) (fabs.f64 (pow.f64 x #s(literal 3/2 binary64))))
(*.f64 (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3/2 binary64)))
(*.f64 (*.f64 x x) x)
(*.f64 x (*.f64 x x))
(pow.f64 (exp.f64 (log.f64 x)) #s(literal 3 binary64))
(pow.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 2 binary64))
(pow.f64 (*.f64 x x) #s(literal 3/2 binary64))
(pow.f64 x #s(literal 3 binary64))
(exp.f64 (*.f64 (log.f64 x) #s(literal 3 binary64)))
(+.f64 (cosh.f64 (*.f64 (log.f64 x) #s(literal 3 binary64))) (sinh.f64 (*.f64 (log.f64 x) #s(literal 3 binary64))))

eval23.0ms (2.1%)

Memory
-40.3MiB live, 4.6MiB allocated; 7ms collecting garbage
Compiler

Compiled 76 to 27 computations (64.5% 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
New12012
Fresh000
Picked011
Done011
Total12214
Accuracy
100.0%
Counts
14 → 2
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓100.0%
(pow.f64 x #s(literal 3 binary64))
✓99.8%
(*.f64 (*.f64 x x) x)
Compiler

Compiled 16 to 11 computations (31.3% saved)

regimes3.0ms (0.2%)

Memory
5.9MiB live, 5.9MiB allocated; 0ms collecting garbage
Counts
2 → 1
Calls
Call 1
Inputs
(*.f64 (*.f64 x x) x)
(pow.f64 x #s(literal 3 binary64))
Outputs
(pow.f64 x #s(literal 3 binary64))
Calls

2 calls:

1.0ms
x
1.0ms
(*.f64 (*.f64 x x) x)
Results
AccuracySegmentsBranch
100.0%1(*.f64 (*.f64 x x) x)
100.0%1x
Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes2.0ms (0.2%)

Memory
4.9MiB live, 4.9MiB allocated; 0ms collecting garbage
Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

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

2 calls:

1.0ms
x
1.0ms
(*.f64 (*.f64 x x) x)
Results
AccuracySegmentsBranch
99.8%1(*.f64 (*.f64 x x) x)
99.8%1x
Compiler

Compiled 6 to 4 computations (33.3% saved)

simplify10.0ms (0.9%)

Memory
22.6MiB live, 22.6MiB allocated; 0ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
058
Stop Event
1×saturated
Calls
Call 1
Inputs
(pow.f64 x #s(literal 3 binary64))
(*.f64 (*.f64 x x) x)
Outputs
(pow.f64 x #s(literal 3 binary64))
(*.f64 (*.f64 x x) x)

derivations1.0ms (0.1%)

Memory
2.6MiB live, 2.6MiB allocated; 0ms collecting garbage
Stop Event
1×done
Compiler

Compiled 8 to 5 computations (37.5% saved)

preprocess25.0ms (2.3%)

Memory
-0.3MiB live, 43.2MiB allocated; 9ms collecting garbage
Remove

(negabs x)

Compiler

Compiled 44 to 34 computations (22.7% saved)

end0.0ms (0%)

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

Profiling

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