Metrics for math.cube on real

start0.0ms (0%)

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

analyze0.0ms (0%)

Memory

0.4MiB live, 0.4MiB allocated; 0ms collecting garbage

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
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)

sample429.0ms (78.8%)

Memory

-15.1MiB live, 808.0MiB allocated; 127ms collecting garbage

Samples

274.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 153.0ms

ival-mult!: 151.0ms (99% of total)

adjust: 1.0ms (0.7% of total)

Bogosity

preprocess7.0ms (1.4%)

Memory

17.5MiB live, 17.5MiB allocated; 0ms collecting garbage

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	7	16
1	25	10
2	63	10
3	100	10
4	122	10

Stop Event

1×

saturated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.9%	(.f64 (.f64 x x) x)

Symmetry

(negabs x)

Compiler

Compiled 6 to 6 computations (0% saved)

series6.0ms (1%)

Memory

-38.7MiB live, 7.8MiB allocated; 4ms collecting garbage

Counts

3 → 3

Calls

Call 1

Inputs
(.f64 (.f64 x x) x)
(*.f64 x x)
x

Outputs
#s(approx (* (* x x) x) #s(hole binary64 (pow x 3)))
#s(approx (* x x) #s(hole binary64 (pow x 2)))
#s(approx x #s(hole binary64 x))

Calls

3 calls:

Time	Variable		Point	Expression
4.0ms	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)

rewrite33.0ms (6.1%)

Memory

24.0MiB live, 70.3MiB allocated; 2ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	28
0	14	24
1	35	24
0	116	24

Stop Event

1×	iter-limit
1×	iter-limit
1×	iter-limit
1×	unsound
1×	iter-limit

Counts

6 → 34

Calls

Call 1

Inputs
(.f64 (.f64 x x) x)
(*.f64 x x)
x
#s(approx (* (* x x) x) #s(hole binary64 (pow x 3)))
#s(approx (* x x) #s(hole binary64 (pow x 2)))
#s(approx x #s(hole binary64 x))

Outputs
(.f64 (.f64 x (fabs.f64 x)) (fabs.f64 x))
(.f64 (.f64 x (neg.f64 x)) (neg.f64 x))
(*.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 (neg.f64 x) (.f64 (neg.f64 x) x))
(.f64 (fabs.f64 x) (.f64 (fabs.f64 x) x))
(.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 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 (neg.f64 (neg.f64 x)) (neg.f64 (neg.f64 x)))
(*.f64 (neg.f64 (fabs.f64 x)) (neg.f64 (fabs.f64 x)))
(*.f64 (fabs.f64 (fabs.f64 x)) (fabs.f64 (fabs.f64 x)))
(*.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 x)))
(*.f64 (neg.f64 x) (neg.f64 x))
(*.f64 (fabs.f64 x) (fabs.f64 x))
(*.f64 x x)
(pow.f64 (exp.f64 (log.f64 x)) #s(literal 2 binary64))
(pow.f64 (neg.f64 x) #s(literal 2 binary64))
(pow.f64 (fabs.f64 x) #s(literal 2 binary64))
(pow.f64 x #s(literal 2 binary64))
(neg.f64 (*.f64 (neg.f64 x) x))
(neg.f64 (*.f64 x (neg.f64 x)))
(fabs.f64 (*.f64 x x))
(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))))
x
#s(approx (* (* x x) x) (.f64 (.f64 x x) x))
#s(approx (* x x) (*.f64 x x))
#s(approx x x)

eval3.0ms (0.5%)

Memory: 6.5MiB live, 6.6MiB allocated; 0ms collecting garbage
Compiler: Compiled 136 to 80 computations (41.2% saved)

prune2.0ms (0.3%)

Memory

6.3MiB live, 6.3MiB allocated; 0ms collecting garbage

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	32	1	33
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	32	2	34

Accuracy

100.0%

Counts

34 → 2

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(pow.f64 x #s(literal 3 binary64))
✓	99.9%	(.f64 (.f64 x x) x)

Compiler

Compiled 6 to 6 computations (0% saved)

series2.0ms (0.3%)

Memory

4.7MiB live, 4.6MiB allocated; 0ms collecting garbage

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) #s(hole binary64 (pow x 3)))
#s(approx x #s(hole binary64 x))

Calls

3 calls:

Time	Variable		Point	Expression
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)

rewrite34.0ms (6.2%)

Memory

-38.0MiB live, 61.2MiB allocated; 4ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	15
0	6	15
1	17	15
2	47	15
0	198	15

Stop Event

1×	iter-limit
1×	iter-limit
1×	iter-limit
1×	unsound
1×	iter-limit

Counts

5 → 38

Calls

Call 1

Inputs
(pow.f64 x #s(literal 3 binary64))
x
#s(literal 3 binary64)
#s(approx (pow x 3) #s(hole binary64 (pow x 3)))
#s(approx x #s(hole binary64 x))

Outputs
(.f64 (.f64 (sqrt.f64 (.f64 (.f64 x x) x)) (pow.f64 x #s(literal 3/4 binary64))) (pow.f64 x #s(literal 3/4 binary64)))
(.f64 (.f64 x (fabs.f64 x)) (fabs.f64 x))
(.f64 (.f64 x (neg.f64 x)) (neg.f64 x))
(.f64 (neg.f64 (neg.f64 (sqrt.f64 (.f64 (.f64 x x) x)))) (neg.f64 (neg.f64 (sqrt.f64 (.f64 (*.f64 x x) x)))))
(.f64 (.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 x))) (exp.f64 (log.f64 x)))
(.f64 (pow.f64 (sqrt.f64 (.f64 (.f64 x x) x)) #s(literal 1 binary64)) (pow.f64 (sqrt.f64 (.f64 (*.f64 x x) x)) #s(literal 1 binary64)))
(.f64 (pow.f64 (sqrt.f64 (.f64 (.f64 x x) x)) #s(literal 1 binary64)) (sqrt.f64 (.f64 (*.f64 x x) x)))
(.f64 (pow.f64 x #s(literal 3/4 binary64)) (.f64 (pow.f64 x #s(literal 3/4 binary64)) (sqrt.f64 (.f64 (.f64 x x) x))))
(.f64 (neg.f64 x) (.f64 (neg.f64 x) x))
(.f64 (neg.f64 (sqrt.f64 (.f64 (.f64 x x) x))) (neg.f64 (sqrt.f64 (.f64 (*.f64 x x) x))))
(.f64 (fabs.f64 x) (.f64 (fabs.f64 x) x))
(.f64 (exp.f64 (log.f64 x)) (.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 x))))
(.f64 (sqrt.f64 (.f64 (.f64 x x) x)) (sqrt.f64 (.f64 (*.f64 x x) x)))
(.f64 (.f64 x x) x)
(.f64 x (.f64 x x))
(pow.f64 (exp.f64 #s(literal 3 binary64)) (log.f64 x))
(pow.f64 (pow.f64 (exp.f64 (log.f64 x)) #s(literal 2 binary64)) #s(literal 3/2 binary64))
(pow.f64 (neg.f64 (sqrt.f64 (.f64 (.f64 x x) x))) #s(literal 2 binary64))
(pow.f64 (exp.f64 (log.f64 x)) #s(literal 3 binary64))
(pow.f64 (sqrt.f64 (.f64 (.f64 x x) x)) #s(literal 2 binary64))
(pow.f64 (*.f64 x x) #s(literal 3/2 binary64))
(pow.f64 x #s(literal 3 binary64))
(/.f64 (-.f64 (.f64 (cosh.f64 (.f64 (log.f64 x) #s(literal 3 binary64))) (cosh.f64 (.f64 (log.f64 x) #s(literal 3 binary64)))) (.f64 (sinh.f64 (.f64 (log.f64 x) #s(literal 3 binary64))) (sinh.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 (+.f64 (pow.f64 (cosh.f64 (.f64 (log.f64 x) #s(literal 3 binary64))) #s(literal 3 binary64)) (pow.f64 (sinh.f64 (.f64 (log.f64 x) #s(literal 3 binary64))) #s(literal 3 binary64))) (fma.f64 (cosh.f64 (.f64 (log.f64 x) #s(literal 3 binary64))) (cosh.f64 (.f64 (log.f64 x) #s(literal 3 binary64))) (-.f64 (.f64 (sinh.f64 (.f64 (log.f64 x) #s(literal 3 binary64))) (sinh.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)))))))
(neg.f64 (.f64 (neg.f64 (sqrt.f64 (.f64 (.f64 x x) x))) (sqrt.f64 (.f64 (*.f64 x x) x))))
(neg.f64 (.f64 (sqrt.f64 (.f64 (.f64 x x) x)) (neg.f64 (sqrt.f64 (.f64 (*.f64 x x) x)))))
(fabs.f64 (.f64 (.f64 x x) x))
(exp.f64 (fma.f64 #s(literal 3/2 binary64) (log.f64 x) (*.f64 #s(literal 3/2 binary64) (log.f64 x))))
(exp.f64 (.f64 (.f64 #s(literal 3/2 binary64) (log.f64 x)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (exp.f64 (log.f64 x))) #s(literal 3 binary64)))
(exp.f64 (.f64 (log.f64 (sqrt.f64 (.f64 (*.f64 x x) x))) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 x) #s(literal 3 binary64)))
(+.f64 (sinh.f64 (.f64 (log.f64 x) #s(literal 3 binary64))) (cosh.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))))
x
#s(literal 3 binary64)
#s(approx (pow x 3) (.f64 (.f64 x x) x))
#s(approx x x)

eval3.0ms (0.5%)

Memory: 8.7MiB live, 8.7MiB allocated; 0ms collecting garbage
Compiler: Compiled 239 to 85 computations (64.4% saved)

prune2.0ms (0.3%)

Memory

4.4MiB live, 4.4MiB allocated; 0ms collecting garbage

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	34	0	34
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	34	2	36

Accuracy

100.0%

Counts

36 → 2

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	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 (0.4%)

Memory

6.5MiB live, 6.5MiB 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

Accuracy	Segments	Branch
100.0%	1	`(.f64 (.f64 x x) x)`
100.0%	1	`x`

Compiler

Compiled 4 to 4 computations (0% saved)

regimes2.0ms (0.4%)

Memory

9.7MiB live, 9.7MiB 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

Accuracy	Segments	Branch
99.9%	1	`(.f64 (.f64 x x) x)`
99.9%	1	`x`

Compiler

Compiled 4 to 4 computations (0% saved)

derivations1.0ms (0.2%)

Memory

1.8MiB live, 1.8MiB allocated; 0ms collecting garbage

Stop Event

1×

done

Compiler

Compiled 5 to 5 computations (0% saved)

preprocess20.0ms (3.7%)

Memory: 4.4MiB live, 51.6MiB allocated; 1ms 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

start0.0ms (0%)

analyze0.0ms (0%)

sample429.0ms (78.8%)

preprocess7.0ms (1.4%)

series6.0ms (1%)

rewrite33.0ms (6.1%)

eval3.0ms (0.5%)

prune2.0ms (0.3%)

series2.0ms (0.3%)

rewrite34.0ms (6.2%)

eval3.0ms (0.5%)

prune2.0ms (0.3%)

regimes2.0ms (0.4%)

regimes2.0ms (0.4%)

derivations1.0ms (0.2%)

preprocess20.0ms (3.7%)

end0.0ms (0%)

Profiling