Metrics for math.cube on real

start0.0ms (0%)

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

analyze0.0ms (0%)

Memory

0.6MiB live, 0.6MiB 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)

sample396.0ms (51.1%)

Memory

-6.1MiB live, 693.5MiB allocated; 88ms collecting garbage

Samples

252.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 85.0ms

ival-mult!: 84.0ms (98.6% of total)

adjust: 1.0ms (1.2% of total)

Bogosity

preprocess175.0ms (22.5%)

Memory

-17.9MiB live, 43.6MiB allocated; 42ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	10
1	31	10
2	80	10
3	130	10
4	247	10
5	746	10
6	3904	10

Stop Event

1×	node-limit

Alt Table

Click to see full alt table

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

Symmetry

(negabs x)

Compiler

Compiled 10 to 6 computations (40% saved)

series7.0ms (1%)

Memory

19.3MiB live, 19.3MiB allocated; 0ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	19

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:

Time	Variable	Point
1.0ms	x	-inf
1.0ms	x	inf
1.0ms	x	0

rewrite59.0ms (7.6%)

Memory

24.9MiB live, 72.3MiB allocated; 7ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	3	9
0	5	7
1	14	7
2	38	7
3	88	7
4	244	7
5	999	7
0	4028	7

Stop Event

1×	iter-limit
1×	node-limit
1×	iter-limit

Counts

3 → 29

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) 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))
(*.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 (0.7%)

Memory: -38.8MiB live, 7.3MiB allocated; 4ms collecting garbage
Compiler: Compiled 214 to 72 computations (66.4% saved)

prune1.0ms (0.2%)

Memory

3.5MiB live, 3.5MiB allocated; 0ms collecting garbage

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	28	1	29
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	28	2	30

Accuracy

100.0%

Counts

30 → 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 8 to 6 computations (25% saved)

series3.0ms (0.3%)

Memory

6.9MiB live, 6.9MiB allocated; 0ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	10

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:

Time	Variable	Point
1.0ms	x	-inf
1.0ms	x	inf
0.0ms	x	0

rewrite67.0ms (8.6%)

Memory

-15.5MiB live, 80.7MiB allocated; 12ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	3	5
0	4	5
1	7	5
2	13	5
3	37	5
4	87	5
5	242	5
6	993	5
0	4026	5

Stop Event

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)

eval9.0ms (1.2%)

Memory: 19.4MiB live, 19.4MiB allocated; 0ms collecting garbage
Compiler: Compiled 70 to 24 computations (65.7% saved)

prune1.0ms (0.1%)

Memory

2.4MiB live, 2.4MiB allocated; 0ms collecting garbage

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	10	0	10
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	10	2	12

Accuracy

100.0%

Counts

12 → 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 8 to 6 computations (25% saved)

regimes5.0ms (0.6%)

Memory

15.8MiB live, 15.8MiB allocated; 0ms collecting garbage

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

2 → 1

Calls

Call 1

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

Outputs
(.f64 (.f64 x x) x)

Call 2

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

Outputs
(pow.f64 x #s(literal 3 binary64))

Calls

4 calls:

1.0ms	x
1.0ms	(.f64 (.f64 x x) x)
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`
100.0%	1	`(.f64 (.f64 x x) x)`
100.0%	1	`x`

Compiler

Compiled 20 to 13 computations (35% saved)

derivations24.0ms (3.1%)

Memory

-34.8MiB live, 10.5MiB allocated; 6ms collecting garbage

Stop Event

1×

done

Compiler

Compiled 8 to 5 computations (37.5% saved)

preprocess22.0ms (2.9%)

Memory: 3.0MiB live, 48.1MiB allocated; 5ms collecting garbage
Remove: (negabs x)
Compiler: Compiled 32 to 23 computations (28.1% saved)

end0.0ms (0%)

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

start0.0ms (0%)

analyze0.0ms (0%)

sample396.0ms (51.1%)

preprocess175.0ms (22.5%)

series7.0ms (1%)

rewrite59.0ms (7.6%)

eval6.0ms (0.7%)

prune1.0ms (0.2%)

series3.0ms (0.3%)

rewrite67.0ms (8.6%)

eval9.0ms (1.2%)

prune1.0ms (0.1%)

regimes5.0ms (0.6%)

derivations24.0ms (3.1%)

preprocess22.0ms (2.9%)

end0.0ms (0%)

Profiling