Metrics for math.cube on real

start0.0ms (0%)

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

analyze0.0ms (0%)

Memory

0.1MiB live, 0.1MiB 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)

sample482.0ms (7.4%)

Memory

-7.3MiB live, 495.2MiB allocated; 129ms collecting garbage

Samples

286.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 125.0ms

ival-mult!: 123.0ms (98.7% of total)

adjust: 2.0ms (1.6% of total)

Bogosity

preprocess803.0ms (12.2%)

Memory

4.5MiB live, 50.4MiB allocated; 9ms 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)

series90.0ms (1.4%)

Memory

29.9MiB live, 29.9MiB allocated; 0ms collecting garbage

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)

rewrite3.5s (53.1%)

Memory

4.4MiB live, 2 420.1MiB allocated; 716ms collecting garbage

Counts

3 → 36

Calls

Call 1

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

Outputs
(.f64 (.f64 x x) x)
(.f64 x (.f64 x x))
(.f64 (neg.f64 (.f64 x x)) (neg.f64 x))
(.f64 (neg.f64 (fabs.f64 x)) (.f64 (fabs.f64 x) (neg.f64 x)))
(.f64 (.f64 (fabs.f64 x) (neg.f64 x)) (neg.f64 (fabs.f64 x)))
(.f64 (.f64 (fabs.f64 x) x) (fabs.f64 x))
(.f64 (fabs.f64 x) (.f64 (fabs.f64 x) x))
(.f64 (neg.f64 x) (neg.f64 (.f64 x x)))
(neg.f64 (neg.f64 (.f64 (.f64 x x) x)))
(pow.f64 x #s(literal 3 binary64))
(pow.f64 x (+.f64 #s(literal 1 binary64) #s(literal 2 binary64)))
(*.f64 x x)
(*.f64 (fabs.f64 x) (fabs.f64 x))
(*.f64 (neg.f64 x) (neg.f64 x))
(*.f64 (neg.f64 (fabs.f64 x)) (neg.f64 (fabs.f64 x)))
(fabs.f64 (*.f64 x x))
(fabs.f64 (neg.f64 (*.f64 x x)))
(fabs.f64 (*.f64 (fabs.f64 x) (neg.f64 x)))
(fabs.f64 (*.f64 (fabs.f64 x) x))
(neg.f64 (neg.f64 (*.f64 x x)))
(pow.f64 x #s(literal 2 binary64))
(pow.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) #s(literal 1/2 binary64)))
(pow.f64 (*.f64 x x) #s(literal 1 binary64))
(pow.f64 (fabs.f64 x) #s(literal 2 binary64))
(pow.f64 (neg.f64 x) #s(literal 2 binary64))
(pow.f64 (.f64 (.f64 x x) (*.f64 x x)) #s(literal 1/2 binary64))
(pow.f64 (.f64 (.f64 x x) (*.f64 x x)) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))
(pow.f64 (neg.f64 (fabs.f64 x)) #s(literal 2 binary64))
(pow.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 (.f64 x x) (*.f64 x x))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) #s(literal 2 binary64))))
(pow.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 (.f64 x x) (*.f64 x x))) (/.f64 #s(literal 1/2 binary64) #s(literal 2 binary64)))
(pow.f64 (pow.f64 (.f64 x x) (.f64 (+.f64 #s(literal 2 binary64) #s(literal 2 binary64)) #s(literal 2 binary64))) (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 2 binary64) #s(literal 2 binary64))))
(pow.f64 (pow.f64 (.f64 x x) (.f64 (+.f64 #s(literal 2 binary64) #s(literal 2 binary64)) #s(literal 2 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) #s(literal 2 binary64))) #s(literal 2 binary64)))
(pow.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 (.f64 x x) (.f64 x x))) (.f64 #s(literal 2 binary64) (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 2 binary64) #s(literal 2 binary64)))))
(sqrt.f64 (.f64 (.f64 x x) (*.f64 x x)))
x
(neg.f64 (neg.f64 x))

eval4.0ms (0.1%)

Memory: 2.6MiB live, 2.6MiB allocated; 0ms collecting garbage
Compiler: Compiled 182 to 92 computations (49.5% saved)

prune2.0ms (0%)

Memory

1.2MiB live, 1.2MiB allocated; 0ms collecting garbage

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	35	1	36
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	35	2	37

Accuracy

100.0%

Counts

37 → 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)

series79.0ms (1.2%)

Memory

9.3MiB live, 9.3MiB 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) (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)

rewrite1.6s (24.1%)

Memory

11.5MiB live, 431.2MiB allocated; 58ms collecting garbage

Counts

3 → 14

Calls

Call 1

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

Outputs
(.f64 (.f64 x x) x)
(.f64 x (.f64 x x))
(.f64 (neg.f64 (.f64 x x)) (neg.f64 x))
(.f64 (neg.f64 (fabs.f64 x)) (.f64 (fabs.f64 x) (neg.f64 x)))
(.f64 (.f64 (fabs.f64 x) (neg.f64 x)) (neg.f64 (fabs.f64 x)))
(.f64 (.f64 (fabs.f64 x) x) (fabs.f64 x))
(.f64 (fabs.f64 x) (.f64 (fabs.f64 x) x))
(.f64 (neg.f64 x) (neg.f64 (.f64 x x)))
(neg.f64 (neg.f64 (.f64 (.f64 x x) x)))
(pow.f64 x #s(literal 3 binary64))
(pow.f64 x (+.f64 #s(literal 2 binary64) #s(literal 1 binary64)))
x
(neg.f64 (neg.f64 x))
#s(literal 3 binary64)

eval1.0ms (0%)

Memory: 1.8MiB live, 1.8MiB allocated; 0ms collecting garbage
Compiler: Compiled 49 to 31 computations (36.7% saved)

prune1.0ms (0%)

Memory

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

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	12	0	12
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	12	2	14

Accuracy

100.0%

Counts

14 → 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%)

Memory

4.9MiB live, 4.9MiB 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%)

Memory

4.3MiB live, 4.3MiB 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)

derivations0.0ms (0%)

Memory

0.6MiB live, 0.6MiB allocated; 0ms collecting garbage

Stop Event

1×

done

Compiler

Compiled 5 to 5 computations (0% saved)

preprocess26.0ms (0.4%)

Memory: -13.3MiB live, 31.3MiB allocated; 8ms 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%)

sample482.0ms (7.4%)

preprocess803.0ms (12.2%)

series90.0ms (1.4%)

rewrite3.5s (53.1%)

eval4.0ms (0.1%)

prune2.0ms (0%)

series79.0ms (1.2%)

rewrite1.6s (24.1%)

eval1.0ms (0%)

prune1.0ms (0%)

regimes2.0ms (0%)

regimes2.0ms (0%)

derivations0.0ms (0%)

preprocess26.0ms (0.4%)

end0.0ms (0%)

Profiling