Metrics for math.cube on real

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

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)

sample778.0ms (64.7%)

Memory

31.9MiB live, 1 033.4MiB allocated; 267ms collecting garbage

Samples

534.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 290.0ms

ival-mult: 278.0ms (95.9% of total)

ival-true: 6.0ms (2.1% of total)

ival-assert: 3.0ms (1% of total)

adjust: 2.0ms (0.7% of total)

Bogosity

explain49.0ms (4.1%)

Memory

1.5MiB live, 103.7MiB allocated; 11ms collecting garbage

FPErrors

Click to see full error table

Example	Example	Subexpression
-	-	`(.f64 (.f64 x x) x)`
-	-	`(*.f64 x x)`
-	-	`x`

Confusion

	Predicted +	Predicted -
+	0	0
-	0	256

Precision

0/0

Recall

0/0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	0	0	0
-	0	0	256

Precision?

0/0

Recall?

0/0

Freqs

test

number	freq
0	256

Total Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	0	0	0
-	0	0	1

Precision?

0/0

Recall?

0/0

Samples

17.0ms

512×

valid

Compiler

Compiled 27 to 13 computations (51.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 8.0ms

ival-mult: 7.0ms (92.3% of total)

ival-true: 0.0ms (0% of total)

adjust: 0.0ms (0% of total)

ival-assert: 0.0ms (0% of total)

preprocess42.0ms (3.5%)

Memory

7.9MiB live, 51.8MiB allocated; 7ms collecting garbage

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	5	13
1	20	9
2	55	7
3	94	7
4	114	7
0	3	5
0	5	5
1	10	3
2	31	3
3	65	3
4	99	3
5	106	3
0	106	3

Stop Event

1×	iter limit
1×	saturated
1×	iter limit
1×	saturated

Calls

Call 1

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

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

Symmetry

(negabs x)

Compiler

Compiled 5 to 3 computations (40% saved)

eval0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated; 0ms collecting garbage
Compiler: Compiled 0 to 1 computations (-∞% saved)

prune0.0ms (0%)

Memory

1.4MiB live, 1.4MiB allocated; 0ms collecting garbage

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.8%	(.f64 (.f64 x x) x)

Compiler

Compiled 5 to 3 computations (40% saved)

series7.0ms (0.5%)

Memory

-30.0MiB live, 13.0MiB allocated; 7ms collecting garbage

Counts

3 → 3

Calls

Call 1

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

Outputs
(pow x 3)
(pow x 2)
x

Calls

3 calls:

Time	Variable		Point	Expression
5.0ms	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)

simplify129.0ms (10.8%)

Memory

17.9MiB live, 159.8MiB allocated; 18ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	7
1	10	7
2	20	7
3	46	7
4	107	7
5	254	7
6	1222	7
7	3980	7
0	8016	7

Stop Event

1×	iter limit
1×	node limit

Counts

3 → 2

Calls

Call 1

Inputs
(pow x 3)
(pow x 2)
x

Outputs
(pow x 3)
(pow.f64 x #s(literal 3 binary64))
(pow x 2)
(*.f64 x x)
x

rewrite60.0ms (5%)

Memory

-0.7MiB live, 43.8MiB allocated; 8ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	3	9
0	5	7
1	14	7
2	50	7
0	205	7

Stop Event

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

Counts

3 → 30

Calls

Call 1

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

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

eval3.0ms (0.3%)

Memory: 4.3MiB live, 4.3MiB allocated; 0ms collecting garbage
Compiler: Compiled 226 to 68 computations (69.9% saved)

prune2.0ms (0.1%)

Memory

2.8MiB live, 2.8MiB allocated; 0ms collecting garbage

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	33	1	34
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	33	2	35

Accuracy

100.0%

Counts

35 → 2

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(pow.f64 x #s(literal 3 binary64))
✓	99.8%	(.f64 (.f64 x x) x)

Compiler

Compiled 8 to 6 computations (25% saved)

series1.0ms (0.1%)

Memory

1.9MiB live, 1.9MiB allocated; 0ms collecting garbage

Counts

3 → 2

Calls

Call 1

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

Outputs
(pow x 3)
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)

simplify4.0ms (0.4%)

Memory

3.4MiB live, 3.4MiB allocated; 0ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	3	4
1	6	4
2	10	4
3	29	4
4	62	4
5	96	4
6	103	4
0	103	4

Stop Event

1×	iter limit
1×	saturated

Counts

2 → 1

Calls

Call 1

Inputs
(pow x 3)
x

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

rewrite21.0ms (1.7%)

Memory

13.6MiB live, 13.6MiB allocated; 0ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	3	5
0	4	5
1	15	5
0	47	5

Stop Event

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

Counts

3 → 13

Calls

Call 1

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

Outputs
(*.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 (.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 (*.f64 x x) #s(literal 3/2 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))))
x
#s(literal 3 binary64)

eval1.0ms (0.1%)

Memory: 1.8MiB live, 1.8MiB allocated; 0ms collecting garbage
Compiler: Compiled 82 to 27 computations (67.1% saved)

prune1.0ms (0.1%)

Memory

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

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	14	0	14
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	14	2	16

Accuracy

100.0%

Counts

16 → 2

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(pow.f64 x #s(literal 3 binary64))
✓	99.8%	(.f64 (.f64 x x) x)

Compiler

Compiled 16 to 11 computations (31.3% saved)

regimes65.0ms (5.4%)

Memory

-41.7MiB live, 24.0MiB allocated; 32ms 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:

64.0ms	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 6 to 4 computations (33.3% saved)

regimes2.0ms (0.2%)

Memory

5.7MiB live, 5.7MiB 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
99.8%	1	`(.f64 (.f64 x x) x)`
99.8%	1	`x`

Compiler

Compiled 6 to 4 computations (33.3% saved)

simplify9.0ms (0.7%)

Memory

19.6MiB live, 19.6MiB allocated; 0ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	8

Stop Event

1×

saturated

Calls

Call 1

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

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

derivations7.0ms (0.6%)

Memory

-41.0MiB live, 2.1MiB allocated; 11ms collecting garbage

Stop Event

1×

done

Compiler

Compiled 8 to 5 computations (37.5% saved)

preprocess20.0ms (1.6%)

Memory: 44.1MiB live, 44.1MiB allocated; 0ms collecting garbage
Remove: (negabs x)
Compiler: Compiled 44 to 34 computations (22.7% saved)

end0.0ms (0%)

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

start0.0ms (0%)

analyze0.0ms (0%)

sample778.0ms (64.7%)

explain49.0ms (4.1%)

preprocess42.0ms (3.5%)

eval0.0ms (0%)

prune0.0ms (0%)

series7.0ms (0.5%)

simplify129.0ms (10.8%)

rewrite60.0ms (5%)

eval3.0ms (0.3%)

prune2.0ms (0.1%)

series1.0ms (0.1%)

simplify4.0ms (0.4%)

rewrite21.0ms (1.7%)

eval1.0ms (0.1%)

prune1.0ms (0.1%)

regimes65.0ms (5.4%)

regimes2.0ms (0.2%)

simplify9.0ms (0.7%)

derivations7.0ms (0.6%)

preprocess20.0ms (1.6%)

end0.0ms (0%)

Profiling