Details

analyze3.0ms (0.2%)

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	100%	0%	0%	0%	0%	0
0%	0%	100%	0%	0%	0%	0%	1
0%	0%	100%	0%	0%	0%	0%	2
50%	50%	50%	0%	0%	0%	0%	3
66.7%	50%	25%	0%	25%	0%	0%	4
83.3%	62.5%	12.5%	0%	25%	0%	0%	5
90.9%	62.5%	6.2%	0%	31.2%	0%	0%	6
95.5%	65.6%	3.1%	0%	31.2%	0%	0%	7
97.7%	65.6%	1.6%	0%	32.8%	0%	0%	8
98.8%	66.4%	0.8%	0%	32.8%	0%	0%	9
99.4%	66.4%	0.4%	0%	33.2%	0%	0%	10
99.7%	66.6%	0.2%	0%	33.2%	0%	0%	11
99.9%	66.6%	0.1%	0%	33.3%	0%	0%	12

Compiler

Compiled 7 to 4 computations (42.9% saved)

sample561.0ms (37.9%)

Results

550.0ms	8256×	body	256	valid
0.0ms	5×	body	256	infinite

Bogosity

preprocess248.0ms (16.8%)

Algorithm

2×	egg-herbie

Rules

3512×	`sqr-pow`
2040×	`pow-sqr`
1156×	`cube-prod`
742×	`fabs-mul`
736×	`cube-mult`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	13
1	6	7
2	8	7
3	13	7
4	18	7
5	27	7
6	49	7
7	111	7
8	332	7
9	686	7
10	766	7
11	903	7
12	1065	7
13	1299	7
14	1612	7
15	2007	7
16	2480	7
17	3019	7
18	3659	7
19	3880	7
20	4076	7
21	4216	7
22	4302	7
23	4360	7
24	5250	7
25	6300	7
26	6602	7
27	6896	7
28	7028	7
29	7038	7
30	7038	7
0	1	1

Stop Event

1×	saturated
1×	node limit

Calls

Call 1

Inputs
0

Outputs
0

Call 2

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

Outputs
(.f64 (.f64 x x) x)
(.f64 x (.f64 x x))
(pow.f64 x 3)

Compiler

Compiled 7 to 4 computations (42.9% saved)

simplify254.0ms (17.2%)

Algorithm

1×	egg-herbie

Rules

3512×	`sqr-pow`
2040×	`pow-sqr`
1156×	`cube-prod`
742×	`fabs-mul`
736×	`cube-mult`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	5	13
1	6	7
2	8	7
3	13	7
4	18	7
5	27	7
6	49	7
7	111	7
8	332	7
9	686	7
10	766	7
11	903	7
12	1065	7
13	1299	7
14	1612	7
15	2007	7
16	2480	7
17	3019	7
18	3659	7
19	3880	7
20	4076	7
21	4216	7
22	4302	7
23	4360	7
24	5250	7
25	6300	7
26	6602	7
27	6896	7
28	7028	7
29	7038	7
30	7038	7

Stop Event

1×	node limit

Counts

1 → 3

Calls

Call 1

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

Outputs
(.f64 (.f64 x x) x)
(.f64 x (.f64 x x))
(pow.f64 x 3)

eval0.0ms (0%)

Compiler: Compiled 14 to 6 computations (57.1% saved)

prune1.0ms (0.1%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	1	2	3
Fresh	0	1	1
Picked	0	0	0
Done	0	0	0
Total	1	3	4

Error

Counts

4 → 2

Alt Table

Click to see full alt table

Status	Error	Program
▶	0b	(pow.f64 x 3)
▶	0.1b	(.f64 (.f64 x x) x)

Compiler

Compiled 10 to 6 computations (40% saved)

localize3.0ms (0.2%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.1b	(.f64 (.f64 x x) x)

Compiler

Compiled 10 to 3 computations (70% saved)

series1.0ms (0.1%)

Counts

1 → 12

Calls

3 calls:

Time	Variable		Point	Expression
0.0ms	x	@	-inf	(.f64 (.f64 x x) x)
0.0ms	x	@	0	(.f64 (.f64 x x) x)
0.0ms	x	@	inf	(.f64 (.f64 x x) x)

rewrite43.0ms (2.9%)

Algorithm

1×	batch-egg-rewrite

Rules

850×	`associate-l`
838×	`add-sqr-sqrt`
820×	`*-un-lft-identity`
770×	`pow1`
768×	`add-cube-cbrt`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	7
1	100	7
2	1152	7

Stop Event

1×	node limit

Counts

1 → 11

Calls

Call 1

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

Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (pow.f64 x 3) 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 x 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 x 3) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 x 3/2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (pow.f64 x 3) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 x 6))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (pow.f64 x 3) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 x 3)))))))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (pow.f64 x 3) 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 x 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 x 3) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 x 3/2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (pow.f64 x 3) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 x 6))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (pow.f64 x 3) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 x 3)))))))

simplify52.0ms (3.5%)

Algorithm

1×	egg-herbie

Rules

1032×	`fma-def`
1012×	`associate-/l*`
878×	`associate--r+`
806×	`*-commutative`
620×	`associate-+r-`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	30	161
1	67	161
2	242	161
3	1200	161
4	2642	161
5	4976	161

Stop Event

1×	node limit

Counts

23 → 11

Calls

Call 1

Inputs
(pow.f64 x 3)
(pow.f64 x 3)
(pow.f64 x 3)
(pow.f64 x 3)
(pow.f64 x 3)
(pow.f64 x 3)
(pow.f64 x 3)
(pow.f64 x 3)
(pow.f64 x 3)
(pow.f64 x 3)
(pow.f64 x 3)
(pow.f64 x 3)
(-.f64 (+.f64 (pow.f64 x 3) 1) 1)
(pow.f64 x 3)
(pow.f64 (pow.f64 x 3) 1)
(pow.f64 (pow.f64 x 3/2) 2)
(pow.f64 (pow.f64 (pow.f64 x 3) 3) 1/3)
(sqrt.f64 (pow.f64 x 6))
(log.f64 (exp.f64 (pow.f64 x 3)))
(cbrt.f64 (pow.f64 (pow.f64 x 3) 3))
(expm1.f64 (log1p.f64 (pow.f64 x 3)))
(exp.f64 (*.f64 (log.f64 x) 3))
(log1p.f64 (expm1.f64 (pow.f64 x 3)))

Outputs
(pow.f64 x 3)
(pow.f64 x 3)
(pow.f64 x 3)
(pow.f64 x 3)
(pow.f64 x 3)
(pow.f64 x 3)
(pow.f64 x 3)
(pow.f64 x 3)
(pow.f64 x 3)
(pow.f64 x 3)
(pow.f64 x 3)
(pow.f64 x 3)
(-.f64 (+.f64 (pow.f64 x 3) 1) 1)
(pow.f64 x 3)
(pow.f64 x 3)
(pow.f64 (pow.f64 x 3) 1)
(pow.f64 x 3)
(pow.f64 (pow.f64 x 3/2) 2)
(pow.f64 x 3)
(pow.f64 (pow.f64 (pow.f64 x 3) 3) 1/3)
(pow.f64 x 3)
(sqrt.f64 (pow.f64 x 6))
(pow.f64 x 3)
(log.f64 (exp.f64 (pow.f64 x 3)))
(pow.f64 x 3)
(cbrt.f64 (pow.f64 (pow.f64 x 3) 3))
(pow.f64 x 3)
(expm1.f64 (log1p.f64 (pow.f64 x 3)))
(pow.f64 x 3)
(exp.f64 (*.f64 (log.f64 x) 3))
(pow.f64 x 3)
(log1p.f64 (expm1.f64 (pow.f64 x 3)))
(pow.f64 x 3)

localize3.0ms (0.2%)

Compiler: Compiled 6 to 4 computations (33.3% saved)

eval2.0ms (0.1%)

Compiler: Compiled 58 to 47 computations (19% saved)

prune2.0ms (0.1%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	11	0	11
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	11	2	13

Error

Counts

13 → 2

Alt Table

Click to see full alt table

Status	Error	Program
✓	0b	(pow.f64 x 3)
✓	0.1b	(.f64 (.f64 x x) x)

Compiler

Compiled 10 to 6 computations (40% saved)

regimes6.0ms (0.4%)

Accuracy

Total -0.1b remaining (-∞%)

Threshold costs -0.1b (-∞%)

Counts

2 → 1

Calls

Call 1

Inputs
(.f64 (.f64 x x) x)
(pow.f64 x 3)

Outputs
(pow.f64 x 3)

Calls

2 calls:

3.0ms	x
2.0ms	(.f64 (.f64 x x) x)

Results

Error	Segments	Branch
0b	1	`x`
0b	1	`(.f64 (.f64 x x) x)`

Compiler

Compiled 17 to 9 computations (47.1% saved)

simplify4.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

2×	`*-commutative`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	20
1	8	20

Stop Event

1×	done
1×	saturated

Calls

Call 1

Inputs
(pow.f64 x 3)
(.f64 (.f64 x x) x)

Outputs
(pow.f64 x 3)
(.f64 (.f64 x x) x)
(.f64 x (.f64 x x))

Compiler

Compiled 10 to 6 computations (40% saved)

soundness281.0ms (19%)

Algorithm

1×	egg-herbie

Rules

3512×	`sqr-pow`
2040×	`pow-sqr`
1156×	`cube-prod`
742×	`fabs-mul`
736×	`cube-mult`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	5	13
1	6	7
2	8	7
3	13	7
4	18	7
5	27	7
6	49	7
7	111	7
8	332	7
9	686	7
10	766	7
11	903	7
12	1065	7
13	1299	7
14	1612	7
15	2007	7
16	2480	7
17	3019	7
18	3659	7
19	3880	7
20	4076	7
21	4216	7
22	4302	7
23	4360	7
24	5250	7
25	6300	7
26	6602	7
27	6896	7
28	7028	7
29	7038	7
30	7038	7

Stop Event

1×	node limit

Compiler

Compiled 9 to 5 computations (44.4% saved)

end14.0ms (1%)

Compiler: Compiled 9 to 5 computations (44.4% saved)

Details

analyze3.0ms (0.2%)

sample561.0ms (37.9%)

preprocess248.0ms (16.8%)

simplify254.0ms (17.2%)

eval0.0ms (0%)

prune1.0ms (0.1%)

localize3.0ms (0.2%)

series1.0ms (0.1%)

rewrite43.0ms (2.9%)

simplify52.0ms (3.5%)

localize3.0ms (0.2%)

eval2.0ms (0.1%)

prune2.0ms (0.1%)

regimes6.0ms (0.4%)

simplify4.0ms (0.2%)

soundness281.0ms (19%)

end14.0ms (1%)

Profiling