math.cube on real

Time bar (total: 4.9s)

start0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

analyze0.0ms (0%)

Memory
0.5MiB live, 0.5MiB 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 5 computations (28.6% saved)

sample469.0ms (9.7%)

Memory
-2.0MiB live, 625.4MiB allocated
Samples
301.0ms8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 121.0ms
ival-mult: 113.0ms (93.3% of total)
ival-true: 6.0ms (5% of total)
ival-assert: 3.0ms (2.5% of total)
Bogosity

explain92.0ms (1.9%)

Memory
-7.3MiB live, 69.3MiB allocated
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
59.0ms512×0valid
Compiler

Compiled 45 to 19 computations (57.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 7.0ms
ival-mult: 7.0ms (93.5% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

preprocess14.0ms (0.3%)

Memory
10.8MiB live, 10.8MiB allocated
Algorithm
1×egg-herbie
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0513
1239
2607
31277
41487
51567
035
055
163
283
083
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
Compiler

Compiled 0 to 1 computations (-∞% saved)

prune0.0ms (0%)

Memory
0.4MiB live, 0.4MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶99.9%
(*.f64 (*.f64 x x) x)
Compiler

Compiled 5 to 3 computations (40% saved)

simplify2.0ms (0.1%)

Memory
1.3MiB live, 1.3MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 2 expressions of interest:

NewMetricScoreProgram
cost-diff-5824
(*.f64 (*.f64 x x) x)
cost-diff0
(*.f64 x x)
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
039
059
167
287
087
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

localize11.0ms (0.2%)

Memory
9.0MiB live, 9.0MiB allocated
Localize:

Found 2 expressions of interest:

NewMetricScoreProgram
accuracy0
(*.f64 x x)
accuracy0.08984375
(*.f64 (*.f64 x x) x)
Samples
7.0ms256×0valid
Compiler

Compiled 20 to 8 computations (60% saved)

Precisions
Click to see histograms. Total time spent on operations: 3.0ms
ival-mult: 3.0ms (92.2% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series2.0ms (0.1%)

Memory
2.3MiB live, 2.3MiB allocated
Counts
2 → 2
Calls
Call 1
Inputs
(*.f64 x x)
(*.f64 (*.f64 x x) x)
Outputs
(pow x 2)
(pow x 3)
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))

simplify2.0ms (0%)

Memory
1.1MiB live, 1.1MiB allocated
Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
056
186
2106
3126
0126
Stop Event
1×iter limit
1×saturated
Counts
2 → 2
Calls
Call 1
Inputs
(pow x 2)
(pow x 3)
Outputs
(pow x 2)
(*.f64 x x)
(pow x 3)
(pow.f64 x #s(literal 3 binary64))

rewrite120.0ms (2.5%)

Memory
-7.1MiB live, 104.3MiB allocated
Iterations

Useful iterations: 5 (0.0ms)

IterNodesCost
038
056
1106
2246
3526
41666
55712
640592
741172
843542
968812
085902
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
2 → 4
Calls
Call 1
Inputs
(*.f64 x x)
(*.f64 (*.f64 x x) x)
Outputs
x
#s(literal 1 binary64)
x
#s(literal 1 binary64)

eval1.0ms (0%)

Memory
1.7MiB live, 1.7MiB allocated
Compiler

Compiled 24 to 11 computations (54.2% saved)

prune1.0ms (0%)

Memory
3.1MiB live, 3.1MiB allocated
Pruning

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New224
Fresh000
Picked011
Done000
Total235
Accuracy
100.0%
Counts
5 → 3
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓99.9%
(*.f64 (*.f64 x x) x)
▶59.6%
(*.f64 x x)
▶100.0%
#s(approx (* (* x x) x) (pow.f64 x #s(literal 3 binary64)))
Compiler

Compiled 17 to 11 computations (35.3% saved)

simplify3.0ms (0.1%)

Memory
6.1MiB live, 6.1MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 3 expressions of interest:

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

Useful iterations: 0 (0.0ms)

IterNodesCost
0718
0816
11016
01016
Stop Event
1×iter limit
1×saturated
1×iter limit
Calls
Call 1
Inputs
#s(approx (* (* x x) x) (pow.f64 x #s(literal 3 binary64)))
(pow.f64 x #s(literal 3 binary64))
x
#s(literal 3 binary64)
(*.f64 x x)
x
Outputs
#s(approx (* (* x x) x) (pow.f64 x #s(literal 3 binary64)))
(pow.f64 x #s(literal 3 binary64))
x
#s(literal 3 binary64)
(*.f64 x x)
x

localize18.0ms (0.4%)

Memory
-12.3MiB live, 26.7MiB allocated
Localize:

Found 3 expressions of interest:

NewMetricScoreProgram
accuracy0
(*.f64 x x)
accuracy0
(pow.f64 x #s(literal 3 binary64))
accuracy0
#s(approx (* (* x x) x) (pow.f64 x #s(literal 3 binary64)))
Samples
12.0ms256×0valid
Compiler

Compiled 34 to 14 computations (58.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 6.0ms
ival-mult: 3.0ms (47.9% of total)
ival-pow: 3.0ms (47.9% 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%)

Memory
3.1MiB live, 3.1MiB allocated
Counts
3 → 2
Calls
Call 1
Inputs
#s(approx (* (* x x) x) (pow.f64 x #s(literal 3 binary64)))
(pow.f64 x #s(literal 3 binary64))
(*.f64 x x)
Outputs
(pow x 3)
(pow x 2)
Calls

3 calls:

TimeVariablePointExpression
1.0ms
x
@-inf
((* (* x x) x) (pow x 3) (* x x))
1.0ms
x
@inf
((* (* x x) x) (pow x 3) (* x x))
0.0ms
x
@0
((* (* x x) x) (pow x 3) (* x x))

simplify2.0ms (0%)

Memory
1.2MiB live, 1.2MiB allocated
Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
056
186
2106
3126
0126
Stop Event
1×iter limit
1×saturated
Counts
2 → 2
Calls
Call 1
Inputs
(pow x 3)
(pow x 2)
Outputs
(pow x 3)
(pow.f64 x #s(literal 3 binary64))
(pow x 2)
(*.f64 x x)

rewrite60.0ms (1.2%)

Memory
7.6MiB live, 45.7MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0715
0813
11913
23913
39413
425713
0118013
Stop Event
1×iter limit
1×iter limit
1×node limit
1×iter limit
Counts
3 → 55
Calls
Call 1
Inputs
#s(approx (* (* x x) x) (pow.f64 x #s(literal 3 binary64)))
(pow.f64 x #s(literal 3 binary64))
(*.f64 x x)
Outputs
#s(approx (* (* x x) x) (pow.f64 x #s(literal 3 binary64)))
(*.f64 (*.f64 (pow.f64 x #s(literal 21/8 binary64)) (pow.f64 x #s(literal 3/16 binary64))) (pow.f64 x #s(literal 3/16 binary64)))
(*.f64 (*.f64 (pow.f64 x #s(literal 5/2 binary64)) (pow.f64 x #s(literal 1/4 binary64))) (pow.f64 x #s(literal 1/4 binary64)))
(*.f64 (pow.f64 (pow.f64 x #s(literal 21/8 binary64)) #s(literal 1 binary64)) (pow.f64 (pow.f64 x #s(literal 3/8 binary64)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (pow.f64 (exp.f64 #s(literal 3 binary64)) (log.f64 (sqrt.f64 x))) #s(literal 1 binary64)) (pow.f64 (pow.f64 (exp.f64 #s(literal 3 binary64)) (log.f64 (sqrt.f64 x))) #s(literal 1 binary64)))
(*.f64 (pow.f64 (pow.f64 x #s(literal 3/8 binary64)) #s(literal 1 binary64)) (pow.f64 (pow.f64 x #s(literal 21/8 binary64)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (pow.f64 x #s(literal 5/2 binary64)) #s(literal 1 binary64)) (sqrt.f64 x))
(*.f64 (pow.f64 (pow.f64 x #s(literal 9/4 binary64)) #s(literal 1 binary64)) (pow.f64 x #s(literal 3/4 binary64)))
(*.f64 (pow.f64 x #s(literal 5/2 binary64)) (sqrt.f64 x))
(*.f64 (pow.f64 x #s(literal 15/8 binary64)) (pow.f64 x #s(literal 9/8 binary64)))
(*.f64 (pow.f64 x #s(literal 21/8 binary64)) (pow.f64 x #s(literal 3/8 binary64)))
(*.f64 (pow.f64 x #s(literal 9/8 binary64)) (pow.f64 x #s(literal 15/8 binary64)))
(*.f64 (pow.f64 (exp.f64 #s(literal 3 binary64)) (log.f64 (sqrt.f64 x))) (pow.f64 (exp.f64 #s(literal 3 binary64)) (log.f64 (sqrt.f64 x))))
(*.f64 (pow.f64 x #s(literal 3/16 binary64)) (*.f64 (pow.f64 x #s(literal 3/16 binary64)) (pow.f64 x #s(literal 21/8 binary64))))
(*.f64 (pow.f64 x #s(literal 1/4 binary64)) (*.f64 (pow.f64 x #s(literal 1/4 binary64)) (pow.f64 x #s(literal 5/2 binary64))))
(*.f64 (pow.f64 x #s(literal 9/4 binary64)) (pow.f64 x #s(literal 3/4 binary64)))
(*.f64 (pow.f64 x #s(literal 3/8 binary64)) (pow.f64 x #s(literal 21/8 binary64)))
(*.f64 (sqrt.f64 x) (pow.f64 (pow.f64 x #s(literal 5/2 binary64)) #s(literal 1 binary64)))
(*.f64 (sqrt.f64 x) (pow.f64 x #s(literal 5/2 binary64)))
(*.f64 (pow.f64 x #s(literal 3/4 binary64)) (pow.f64 (pow.f64 x #s(literal 9/4 binary64)) #s(literal 1 binary64)))
(*.f64 (pow.f64 x #s(literal 3/4 binary64)) (pow.f64 x #s(literal 9/4 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 (*.f64 (exp.f64 #s(literal 3 binary64)) (exp.f64 #s(literal 3 binary64))) (log.f64 (sqrt.f64 x)))
(pow.f64 (*.f64 (exp.f64 #s(literal 3/2 binary64)) (exp.f64 #s(literal 3/2 binary64))) (log.f64 x))
(pow.f64 (pow.f64 (exp.f64 #s(literal 3 binary64)) #s(literal 1 binary64)) (log.f64 x))
(pow.f64 (pow.f64 (exp.f64 #s(literal 3 binary64)) (log.f64 (sqrt.f64 x))) #s(literal 2 binary64))
(pow.f64 (exp.f64 #s(literal 2 binary64)) (*.f64 #s(literal 3/2 binary64) (log.f64 x)))
(pow.f64 (exp.f64 #s(literal 3/2 binary64)) (*.f64 #s(literal 2 binary64) (log.f64 x)))
(pow.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 3/4 binary64))
(pow.f64 (pow.f64 x #s(literal 3/8 binary64)) #s(literal 8 binary64))
(pow.f64 (sqrt.f64 x) #s(literal 6 binary64))
(pow.f64 (exp.f64 #s(literal 3 binary64)) (log.f64 x))
(pow.f64 (pow.f64 x #s(literal 3/4 binary64)) #s(literal 4 binary64))
(pow.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 2 binary64))
(pow.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64))
(pow.f64 (*.f64 x x) #s(literal 3/2 binary64))
(pow.f64 x #s(literal 3 binary64))
(exp.f64 (*.f64 (log.f64 (pow.f64 x #s(literal 4 binary64))) #s(literal 3/4 binary64)))
(exp.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))
(*.f64 (*.f64 (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 x #s(literal 1/4 binary64))) (pow.f64 x #s(literal 1/4 binary64)))
(*.f64 (pow.f64 x #s(literal 1/4 binary64)) (*.f64 (pow.f64 x #s(literal 1/4 binary64)) (pow.f64 x #s(literal 3/2 binary64))))
(*.f64 (sqrt.f64 x) (pow.f64 x #s(literal 3/2 binary64)))
(*.f64 (pow.f64 x #s(literal 3/2 binary64)) (sqrt.f64 x))
(*.f64 x x)
(pow.f64 (exp.f64 #s(literal 1 binary64)) (*.f64 #s(literal 2 binary64) (log.f64 x)))
(pow.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) #s(literal 1 binary64)) (log.f64 x))
(pow.f64 (exp.f64 #s(literal 2 binary64)) (log.f64 x))
(pow.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2 binary64))
(pow.f64 (sqrt.f64 x) #s(literal 4 binary64))
(pow.f64 (*.f64 x x) #s(literal 1 binary64))
(pow.f64 x #s(literal 2 binary64))
(exp.f64 (*.f64 (log.f64 (exp.f64 #s(literal 2 binary64))) (log.f64 x)))
(exp.f64 (*.f64 #s(literal 2 binary64) (log.f64 x)))

eval6.0ms (0.1%)

Memory
11.9MiB live, 11.9MiB allocated
Compiler

Compiled 641 to 157 computations (75.5% saved)

prune13.0ms (0.3%)

Memory
-33.8MiB live, 12.3MiB allocated
Pruning

3 alts after pruning (0 fresh and 3 done)

PrunedKeptTotal
New56056
Fresh000
Picked022
Done011
Total56359
Accuracy
100.0%
Counts
59 → 3
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓99.9%
(*.f64 (*.f64 x x) x)
✓59.6%
(*.f64 x x)
✓100.0%
#s(approx (* (* x x) x) (pow.f64 x #s(literal 3 binary64)))
Compiler

Compiled 34 to 19 computations (44.1% saved)

regimes4.0ms (0.1%)

Memory
8.5MiB live, 8.5MiB allocated
Counts
3 → 1
Calls
Call 1
Inputs
(*.f64 x x)
(*.f64 (*.f64 x x) x)
#s(approx (* (* x x) x) (pow.f64 x #s(literal 3 binary64)))
Outputs
#s(approx (* (* x x) x) (pow.f64 x #s(literal 3 binary64)))
Calls

2 calls:

2.0ms
x
2.0ms
(*.f64 (*.f64 x x) x)
Results
AccuracySegmentsBranch
100.0%1x
100.0%1(*.f64 (*.f64 x x) x)
Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes3.0ms (0.1%)

Memory
6.4MiB live, 6.4MiB allocated
Counts
2 → 1
Calls
Call 1
Inputs
(*.f64 x x)
(*.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
99.9%1x
99.9%1(*.f64 (*.f64 x x) x)
Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes2.0ms (0.1%)

Memory
6.1MiB live, 6.1MiB 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 x) x)
Results
AccuracySegmentsBranch
59.6%1x
59.6%1(*.f64 (*.f64 x x) x)
Compiler

Compiled 6 to 4 computations (33.3% saved)

simplify23.0ms (0.5%)

Memory
6.2MiB live, 44.1MiB allocated
Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0817
1917
Stop Event
1×saturated
Calls
Call 1
Inputs
#s(approx (* (* x x) x) (pow.f64 x #s(literal 3 binary64)))
(*.f64 (*.f64 x x) x)
(*.f64 x x)
Outputs
#s(approx (* (* x x) x) (pow.f64 x #s(literal 3 binary64)))
(*.f64 (*.f64 x x) x)
(*.f64 x x)

soundness4.0s (81.5%)

Memory
-26.9MiB live, 47.0MiB allocated
Iterations

Useful iterations: 5 (0.0ms)

IterNodesCost
056
186
2106
3126
0126
038
056
1106
2246
3526
41666
55712
640592
741172
843542
968812
085902
Stop Event
1×done
1×iter limit
1×node limit
1×iter limit
1×iter limit
1×saturated
Compiler

Compiled 20 to 11 computations (45% saved)

preprocess45.0ms (0.9%)

Memory
4.4MiB live, 83.9MiB allocated
Remove

(negabs x)

Compiler

Compiled 86 to 52 computations (39.5% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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