Metrics for math.cube on real

start0.0ms (0%)

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

analyze0.0ms (0%)

Memory

0.8MiB live, 0.8MiB 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)

sample457.0ms (26.6%)

Memory

-24.7MiB live, 590.6MiB allocated; 153ms collecting garbage

Samples

289.0ms	8 255×	0	valid
0.0ms	1×	1	valid

Precisions

Click to see histograms. Total time spent on operations: 98.0ms

ival-mult!: 96.0ms (98.1% of total)

adjust: 2.0ms (2% of total)

Bogosity

preprocess745.0ms (43.4%)

Memory

-0.1MiB live, 45.1MiB allocated; 7ms 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
7	7769	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 6 to 6 computations (0% saved)

series5.0ms (0.3%)

Memory

11.6MiB live, 11.6MiB 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	Expression
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)

rewrite282.0ms (16.4%)

Memory

3.2MiB live, 140.8MiB allocated; 28ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	3	9
0	5	7
1	14	7
2	49	7
3	159	7
4	400	7
5	1609	7
6	7057	7
0	8012	7
1	9632	7

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

eval5.0ms (0.3%)

Memory: 12.6MiB live, 12.6MiB allocated; 0ms collecting garbage
Compiler: Compiled 262 to 112 computations (57.3% saved)

prune2.0ms (0.1%)

Memory

5.0MiB live, 5.0MiB allocated; 0ms collecting garbage

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	63	1	64
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	63	2	65

Accuracy

100.0%

Counts

65 → 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)

series3.0ms (0.2%)

Memory

6.0MiB live, 6.0MiB 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	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)

rewrite147.0ms (8.6%)

Memory

4.7MiB live, 95.9MiB allocated; 77ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	3	5
0	4	5
1	14	5
2	21	5
3	69	5
4	192	5
5	519	5
0	2189	5
1	2724	5

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: 2.3MiB live, 2.3MiB 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)

	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 11 to 11 computations (0% saved)

regimes2.0ms (0.1%)

Memory

7.1MiB live, 7.1MiB 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)

regimes9.0ms (0.5%)

Memory

-41.8MiB live, 6.2MiB allocated; 11ms 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:

8.0ms	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)

derivations33.0ms (1.9%)

Memory

-0.9MiB live, 43.5MiB allocated; 11ms collecting garbage

Stop Event

1×

done

Compiler

Compiled 5 to 5 computations (0% saved)

preprocess24.0ms (1.4%)

Memory: 5.9MiB live, 50.4MiB allocated; 9ms 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%)

sample457.0ms (26.6%)

preprocess745.0ms (43.4%)

series5.0ms (0.3%)

rewrite282.0ms (16.4%)

eval5.0ms (0.3%)

prune2.0ms (0.1%)

series3.0ms (0.2%)

rewrite147.0ms (8.6%)

eval1.0ms (0.1%)

prune1.0ms (0.1%)

regimes2.0ms (0.1%)

regimes9.0ms (0.5%)

derivations33.0ms (1.9%)

preprocess24.0ms (1.4%)

end0.0ms (0%)

Profiling