math.cube on real

Time bar (total: 4.8s)

start0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

analyze0.0ms (0%)

Memory
0.3MiB live, 0.3MiB 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)

sample512.0ms (10.6%)

Memory
-4.4MiB live, 583.0MiB allocated
Samples
349.0ms8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 177.0ms
ival-mult: 168.0ms (95% of total)
ival-true: 5.0ms (2.8% of total)
ival-assert: 3.0ms (1.7% of total)
Bogosity

explain61.0ms (1.3%)

Memory
26.4MiB live, 110.9MiB 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
22.0ms512×0valid
Compiler

Compiled 45 to 19 computations (57.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 13.0ms
ival-mult: 12.0ms (94.7% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

preprocess17.0ms (0.3%)

Memory
-13.9MiB live, 25.1MiB 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
0.6MiB live, 0.6MiB 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%)

Memory
2.2MiB live, 2.2MiB 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

localize18.0ms (0.4%)

Memory
-16.8MiB live, 19.3MiB allocated
Localize:

Found 2 expressions of interest:

NewMetricScoreProgram
accuracy0
(*.f64 x x)
accuracy0.05859375
(*.f64 (*.f64 x x) x)
Samples
14.0ms256×0valid
Compiler

Compiled 20 to 8 computations (60% saved)

Precisions
Click to see histograms. Total time spent on operations: 10.0ms
ival-mult: 9.0ms (93.6% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series2.0ms (0.1%)

Memory
4.3MiB live, 4.3MiB 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
2.7MiB live, 2.7MiB 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))

rewrite89.0ms (1.8%)

Memory
11.6MiB live, 108.2MiB 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)

eval4.0ms (0.1%)

Memory
-38.2MiB live, 1.4MiB allocated
Compiler

Compiled 24 to 11 computations (54.2% saved)

prune1.0ms (0%)

Memory
2.7MiB live, 2.7MiB 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)
▶53.5%
(*.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
5.0MiB live, 5.0MiB 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

localize17.0ms (0.3%)

Memory
30.4MiB live, 30.4MiB 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: 7.0ms
ival-mult: 3.0ms (45.9% of total)
ival-pow: 3.0ms (45.9% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series3.0ms (0.1%)

Memory
-34.6MiB live, 5.0MiB 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
@0
((* (* x x) x) (pow x 3) (* x x))
1.0ms
x
@inf
((* (* x x) x) (pow x 3) (* x x))
1.0ms
x
@-inf
((* (* x x) x) (pow x 3) (* x x))

simplify2.0ms (0%)

Memory
4.8MiB live, 4.8MiB 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)

rewrite49.0ms (1%)

Memory
10.7MiB live, 49.3MiB 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
8.2MiB live, 8.2MiB allocated
Compiler

Compiled 641 to 157 computations (75.5% saved)

prune2.0ms (0%)

Memory
4.3MiB live, 4.3MiB 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)
✓53.5%
(*.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
5.3MiB live, 5.3MiB 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
1.0ms
(*.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)

regimes17.0ms (0.4%)

Memory
-32.6MiB live, 9.3MiB 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:

9.0ms
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)

regimes3.0ms (0.1%)

Memory
4.3MiB live, 4.3MiB 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
53.5%1x
53.5%1(*.f64 (*.f64 x x) x)
Compiler

Compiled 6 to 4 computations (33.3% saved)

simplify21.0ms (0.4%)

Memory
29.6MiB live, 29.6MiB 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 (82.1%)

Memory
-30.2MiB live, 45.8MiB allocated
Iterations

Useful iterations: 5 (0.0ms)

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

Compiled 20 to 11 computations (45% saved)

preprocess31.0ms (0.6%)

Memory
23.4MiB live, 58.7MiB allocated
Remove

(negabs x)

Compiler

Compiled 86 to 52 computations (39.5% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

Loading profile data...