Details

analyze2.0ms (0.1%)

Algorithm

1×

Search

True	Other	False	Iter
0%	99.9%	0.1%	0
99.9%	0%	0.1%	1

Compiler

Compiled 9 to 6 computations (33.3% saved)

sample1.0s (49.1%)

Infinites

26% of outputs are infinite.

Results

860.0ms

8256×

body

128

valid

Compiler

Compiled 26 to 17 computations (34.6% saved)

simplify97.0ms (4.7%)

Algorithm

1×	egg-herbie

Rules

664×	`unswap-sqr_binary64`
640×	`fma-def_binary64`
463×	`associate-/l*_binary64`
362×	`exp-prod_binary64`
312×	`associate-l_binary64`

Counts

1 → 2

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	9
1	12	9
2	23	9
3	41	9
4	85	9
5	193	9
6	434	9
7	1080	9
8	2926	9
9	3322	9
10	4145	9
11	4931	9
12	5147	9

prune3.0ms (0.2%)

Pruning

2 alts after pruning (2 fresh and 0 done)

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

Error

0.0b

Counts

3 → 1

Alt Table

Status	Error	Program
▶	0.0b	(exp.f64 (.f64 (.f64 x y) y))

Compiler

Compiled 30 to 17 computations (43.3% saved)

localize7.0ms (0.4%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(exp.f64 (.f64 (.f64 x y) y))
✓	0.1b	(.f64 (.f64 x y) y)

series23.0ms (1.1%)

Counts

2 → 48

Calls

2 calls:

13.0ms	(.f64 (.f64 x y) y)
9.0ms	(exp.f64 (.f64 (.f64 x y) y))

rewrite14.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Rules

7×	`add-cbrt-cube_binary64`
7×	`add-exp-log_binary64`
7×	`pow1_binary64`
4×	`add-log-exp_binary64`
3×	`associate-r_binary64`

Counts

2 → 32

Calls

2 calls:

10.0ms	(.f64 (.f64 x y) y)
3.0ms	(exp.f64 (.f64 (.f64 x y) y))

simplify83.0ms (4%)

Algorithm

1×	egg-herbie

Rules

757×	`fma-def_binary64`
721×	`distribute-rgt-in_binary64`
707×	`distribute-lft-in_binary64`
508×	`unswap-sqr_binary64`
212×	`*-commutative_binary64`

Counts

80 → 58

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	68	805
1	160	739
2	473	731
3	929	715
4	2071	706
5	5240	706

prune51.0ms (2.5%)

Pruning

1 alts after pruning (1 fresh and 0 done)

	Pruned	Kept	Total
New	57	1	58
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	58	1	59

Error

Counts

59 → 1

Alt Table

Status	Error	Program
▶	0b	(exp.f64 (cbrt.f64 (.f64 (.f64 (.f64 (.f64 x y) y) (.f64 (.f64 x y) y)) (.f64 (.f64 x y) y))))

Compiler

Compiled 665 to 234 computations (64.8% saved)

localize10.0ms (0.5%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(.f64 (.f64 (.f64 (.f64 x y) y) (.f64 (.f64 x y) y)) (.f64 (.f64 x y) y))
	0.1b	(.f64 (.f64 x y) y)
✓	0.1b	(.f64 (.f64 (.f64 x y) y) (.f64 (*.f64 x y) y))
✓	20.4b	(cbrt.f64 (.f64 (.f64 (.f64 (.f64 x y) y) (.f64 (.f64 x y) y)) (.f64 (.f64 x y) y)))

series62.0ms (3%)

Counts

3 → 72

Calls

3 calls:

24.0ms

(*.f64 (*.f64 (*.f64 (*.f64 x y) y) (*.f64 (*.f64 x y) y)) (*.f64 (*.f64 x y) y))

21.0ms

(cbrt.f64 (*.f64 (*.f64 (*.f64 (*.f64 x y) y) (*.f64 (*.f64 x y) y)) (*.f64 (*.f64 x y) y)))

17.0ms

(*.f64 (*.f64 (*.f64 x y) y) (*.f64 (*.f64 x y) y))

rewrite111.0ms (5.4%)

Algorithm

1×	rewrite-expression-head

Rules

732×	`pow1_binary64`
429×	`pow-prod-down_binary64`
228×	`add-cbrt-cube_binary64`
210×	`add-exp-log_binary64`
177×	`cbrt-unprod_binary64`

Counts

3 → 268

Calls

3 calls:

20.0ms

(*.f64 (*.f64 (*.f64 (*.f64 x y) y) (*.f64 (*.f64 x y) y)) (*.f64 (*.f64 x y) y))

16.0ms

(cbrt.f64 (*.f64 (*.f64 (*.f64 (*.f64 x y) y) (*.f64 (*.f64 x y) y)) (*.f64 (*.f64 x y) y)))

11.0ms

(*.f64 (*.f64 (*.f64 x y) y) (*.f64 (*.f64 x y) y))

simplify168.0ms (8.1%)

Algorithm

1×	egg-herbie

Rules

921×	`fma-def_binary64`
549×	`associate-l_binary64`
511×	`sqr-pow_binary64`
366×	`*-commutative_binary64`
349×	`exp-prod_binary64`

Counts

340 → 160

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	150	5642
1	286	2583
2	774	2503
3	1684	2497
4	3113	2303
5	4839	2303
6	5193	2303

prune165.0ms (8%)

Pruning

1 alts after pruning (0 fresh and 1 done)

	Pruned	Kept	Total
New	253	0	253
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	253	1	254

Error

Counts

254 → 1

Alt Table

Status	Error	Program
✓	0b	(exp.f64 (cbrt.f64 (.f64 (.f64 (.f64 (.f64 x y) y) (.f64 (.f64 x y) y)) (.f64 (.f64 x y) y))))

Compiler

Compiled 6814 to 1187 computations (82.6% saved)

regimes216.0ms (10.5%)

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0.0b (0%)

Counts

67 → 1

Compiler

Compiled 3654 to 2421 computations (33.7% saved)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

2×	`*-commutative_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	14
1	11	14
2	11	14

end36.0ms (1.8%)

Compiler: Compiled 43 to 24 computations (44.2% saved)

Details

analyze2.0ms (0.1%)

sample1.0s (49.1%)

simplify97.0ms (4.7%)

prune3.0ms (0.2%)

localize7.0ms (0.4%)

series23.0ms (1.1%)

rewrite14.0ms (0.7%)

simplify83.0ms (4%)

prune51.0ms (2.5%)

localize10.0ms (0.5%)

series62.0ms (3%)

rewrite111.0ms (5.4%)

simplify168.0ms (8.1%)

prune165.0ms (8%)

regimes216.0ms (10.5%)

simplify2.0ms (0.1%)

end36.0ms (1.8%)

Profiling