math.cube on real

Time bar (total: 1.7s)

start0.0ms (0%)

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

analyze0.0ms (0%)

Memory
0.3MiB live, 0.3MiB 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)

sample494.0ms (28.8%)

Memory
18.2MiB live, 533.3MiB allocated; 135ms collecting garbage
Samples
307.0ms8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 79.0ms
ival-mult!: 78.0ms (98.9% of total)
adjust: 1.0ms (1.3% of total)
Bogosity

preprocess743.0ms (43.3%)

Memory
-16.0MiB live, 29.6MiB allocated; 4ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0710
13110
28010
313010
424710
574610
6390410
7776910
Stop Event
1×node-limit
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶99.9%
(*.f64 (*.f64 x x) x)
Symmetry

(negabs x)

Compiler

Compiled 6 to 6 computations (0% saved)

series5.0ms (0.3%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
01019
Stop Event
1×iter-limit
Counts
3 → 3
Calls
Call 1
Inputs
(*.f64 (*.f64 x x) x)
(*.f64 x x)
x
Outputs
#s(approx (* (* x x) x) (pow.f64 x #s(literal 3 binary64)))
#s(approx (* x x) (pow.f64 x #s(literal 2 binary64)))
#s(approx x x)
Calls

3 calls:

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

rewrite271.0ms (15.8%)

Memory
13.2MiB live, 155.7MiB allocated; 16ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
039
057
1147
2497
31597
44007
516097
670577
080127
196327
Stop Event
1×saturated
1×node-limit
1×iter-limit
Counts
3 → 64
Calls
Call 1
Inputs
(*.f64 (*.f64 x x) x)
(*.f64 x x)
x
Outputs
(*.f64 (*.f64 (fabs.f64 x) (neg.f64 x)) (neg.f64 (fabs.f64 x)))
(*.f64 (*.f64 (fabs.f64 x) (neg.f64 x)) (fabs.f64 x))
(*.f64 (*.f64 (fabs.f64 x) (neg.f64 x)) (neg.f64 x))
(*.f64 (*.f64 (fabs.f64 x) (neg.f64 x)) x)
(*.f64 (*.f64 (fabs.f64 x) x) (neg.f64 (fabs.f64 x)))
(*.f64 (*.f64 (fabs.f64 x) x) (fabs.f64 x))
(*.f64 (*.f64 (fabs.f64 x) x) (neg.f64 x))
(*.f64 (*.f64 (fabs.f64 x) x) x)
(*.f64 (*.f64 (neg.f64 x) x) (neg.f64 (fabs.f64 x)))
(*.f64 (*.f64 (neg.f64 x) x) (fabs.f64 x))
(*.f64 (*.f64 (neg.f64 x) x) (neg.f64 x))
(*.f64 (*.f64 (neg.f64 x) x) x)
(*.f64 (neg.f64 (fabs.f64 x)) (*.f64 (fabs.f64 x) (neg.f64 x)))
(*.f64 (neg.f64 (fabs.f64 x)) (*.f64 (fabs.f64 x) x))
(*.f64 (neg.f64 (fabs.f64 x)) (*.f64 (neg.f64 x) x))
(*.f64 (neg.f64 (fabs.f64 x)) (*.f64 x x))
(*.f64 (fabs.f64 x) (*.f64 (fabs.f64 x) (neg.f64 x)))
(*.f64 (fabs.f64 x) (*.f64 (fabs.f64 x) x))
(*.f64 (fabs.f64 x) (*.f64 (neg.f64 x) x))
(*.f64 (fabs.f64 x) (*.f64 x x))
(*.f64 (neg.f64 x) (*.f64 (fabs.f64 x) (neg.f64 x)))
(*.f64 (neg.f64 x) (*.f64 (fabs.f64 x) x))
(*.f64 (neg.f64 x) (*.f64 (neg.f64 x) x))
(*.f64 (neg.f64 x) (*.f64 x x))
(*.f64 (*.f64 x x) (neg.f64 (fabs.f64 x)))
(*.f64 (*.f64 x x) (fabs.f64 x))
(*.f64 (*.f64 x x) (neg.f64 x))
(*.f64 (*.f64 x x) x)
(*.f64 x (*.f64 (fabs.f64 x) (neg.f64 x)))
(*.f64 x (*.f64 (fabs.f64 x) x))
(*.f64 x (*.f64 (neg.f64 x) x))
(*.f64 x (*.f64 x x))
(pow.f64 (*.f64 (pow.f64 x #s(literal 8 binary64)) (*.f64 (*.f64 (*.f64 x x) x) x)) #s(literal 1/4 binary64))
(pow.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) x) x) (pow.f64 x #s(literal 8 binary64))) #s(literal 1/4 binary64))
(pow.f64 (*.f64 (*.f64 (*.f64 x x) x) (*.f64 (*.f64 x x) x)) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 3/8 binary64))
(pow.f64 (*.f64 (*.f64 (*.f64 x x) x) x) #s(literal 3/4 binary64))
(pow.f64 (neg.f64 (fabs.f64 x)) #s(literal 3 binary64))
(pow.f64 (fabs.f64 x) #s(literal 3 binary64))
(pow.f64 (neg.f64 x) #s(literal 3 binary64))
(pow.f64 (*.f64 x x) #s(literal 3/2 binary64))
(pow.f64 x #s(literal 3 binary64))
(neg.f64 (*.f64 (*.f64 x x) x))
(sqrt.f64 (*.f64 (*.f64 (*.f64 x x) x) (*.f64 (*.f64 x x) x)))
(fabs.f64 (*.f64 (*.f64 x x) x))
(*.f64 (neg.f64 (fabs.f64 x)) (neg.f64 (fabs.f64 x)))
(*.f64 (fabs.f64 x) (fabs.f64 x))
(*.f64 (neg.f64 x) (neg.f64 x))
(*.f64 x x)
(pow.f64 (pow.f64 x #s(literal 16 binary64)) #s(literal 1/8 binary64))
(pow.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 1/4 binary64))
(pow.f64 (*.f64 (*.f64 (*.f64 x x) x) x) #s(literal 1/2 binary64))
(pow.f64 (neg.f64 (fabs.f64 x)) #s(literal 2 binary64))
(pow.f64 (fabs.f64 x) #s(literal 2 binary64))
(pow.f64 (neg.f64 x) #s(literal 2 binary64))
(pow.f64 (*.f64 x x) #s(literal 1 binary64))
(pow.f64 x #s(literal 2 binary64))
(neg.f64 (*.f64 (neg.f64 x) x))
(sqrt.f64 (*.f64 (*.f64 (*.f64 x x) x) x))
(fabs.f64 (*.f64 (fabs.f64 x) (neg.f64 x)))
(fabs.f64 (*.f64 (fabs.f64 x) x))
(fabs.f64 (*.f64 (neg.f64 x) x))
(fabs.f64 (*.f64 x x))
x

eval6.0ms (0.3%)

Memory
12.0MiB live, 12.1MiB allocated; 0ms collecting garbage
Compiler

Compiled 262 to 112 computations (57.3% saved)

prune2.0ms (0.1%)

Memory
4.6MiB live, 4.5MiB allocated; 0ms collecting garbage
Pruning

2 alts after pruning (1 fresh and 1 done)

PrunedKeptTotal
New63164
Fresh000
Picked011
Done000
Total63265
Accuracy
100.0%
Counts
65 → 2
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶100.0%
(pow.f64 x #s(literal 3 binary64))
✓99.9%
(*.f64 (*.f64 x x) x)
Compiler

Compiled 6 to 6 computations (0% saved)

series3.0ms (0.2%)

Memory
5.2MiB live, 5.2MiB allocated; 0ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0510
Stop Event
1×iter-limit
Counts
3 → 2
Calls
Call 1
Inputs
(pow.f64 x #s(literal 3 binary64))
x
#s(literal 3 binary64)
Outputs
#s(approx (pow x 3) (pow.f64 x #s(literal 3 binary64)))
#s(approx x x)
Calls

3 calls:

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

rewrite136.0ms (7.9%)

Memory
-16.0MiB live, 85.9MiB allocated; 63ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
035
045
1145
2215
3695
41925
55195
021895
127245
Stop Event
1×saturated
1×iter-limit
1×node-limit
1×iter-limit
Counts
3 → 12
Calls
Call 1
Inputs
(pow.f64 x #s(literal 3 binary64))
x
#s(literal 3 binary64)
Outputs
(*.f64 (*.f64 (fabs.f64 x) (neg.f64 x)) (neg.f64 (fabs.f64 x)))
(*.f64 (*.f64 (fabs.f64 x) x) (fabs.f64 x))
(*.f64 (*.f64 (neg.f64 x) x) (neg.f64 x))
(*.f64 (neg.f64 (fabs.f64 x)) (*.f64 (fabs.f64 x) (neg.f64 x)))
(*.f64 (fabs.f64 x) (*.f64 (fabs.f64 x) x))
(*.f64 (neg.f64 x) (*.f64 (neg.f64 x) x))
(*.f64 (*.f64 x x) x)
(*.f64 x (*.f64 x x))
(pow.f64 x #s(literal 3 binary64))
(neg.f64 (*.f64 (*.f64 (neg.f64 x) x) x))
x
#s(literal 3 binary64)

eval1.0ms (0.1%)

Memory
2.0MiB live, 2.0MiB allocated; 0ms collecting garbage
Compiler

Compiled 42 to 24 computations (42.9% saved)

prune1.0ms (0.1%)

Memory
2.7MiB live, 2.7MiB allocated; 0ms collecting garbage
Pruning

2 alts after pruning (0 fresh and 2 done)

PrunedKeptTotal
New10010
Fresh000
Picked011
Done011
Total10212
Accuracy
100.0%
Counts
12 → 2
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓100.0%
(pow.f64 x #s(literal 3 binary64))
✓99.9%
(*.f64 (*.f64 x x) x)
Compiler

Compiled 11 to 11 computations (0% saved)

regimes2.0ms (0.1%)

Memory
7.0MiB live, 7.0MiB 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 4 to 4 computations (0% saved)

regimes2.0ms (0.1%)

Memory
5.9MiB live, 5.9MiB 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
99.9%1(*.f64 (*.f64 x x) x)
99.9%1x
Compiler

Compiled 4 to 4 computations (0% saved)

derivations28.0ms (1.6%)

Memory
-42.8MiB live, 2.4MiB allocated; 9ms collecting garbage
Stop Event
1×done
Compiler

Compiled 5 to 5 computations (0% saved)

preprocess21.0ms (1.2%)

Memory
46.1MiB live, 46.1MiB allocated; 0ms collecting garbage
Remove

(negabs x)

Compiler

Compiled 23 to 23 computations (0% saved)

end0.0ms (0%)

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

Profiling

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