Details

analyze35.0ms (1%)

Algorithm

1×

Search

True	Other	False	Iter
0%	99.9%	0.1%	0
0%	99.9%	0.1%	1
0%	99.9%	0.1%	2
50%	50%	0.1%	3
50%	50%	0.1%	4
74.9%	25%	0.1%	5
74.9%	25%	0.1%	6
87.4%	12.5%	0.1%	7
87.4%	12.5%	0.1%	8
93.7%	6.2%	0.1%	9
93.7%	6.2%	0.1%	10
96.8%	3.1%	0.1%	11
96.8%	3.1%	0.1%	12
98.3%	1.6%	0.1%	13
98.3%	1.6%	0.1%	14

Compiler

Compiled 9 to 7 computations (22.2% saved)

sample764.0ms (23.1%)

Results

736.0ms

8256×

body

128

valid

Compiler

Compiled 26 to 20 computations (23.1% saved)

simplify6.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

2×	`associate-/r*_binary64`
1×	`*-commutative_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	9
1	10	9
2	12	9

Stop Event

1×

saturated

Counts

1 → 1

prune2.0ms (0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

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

Error

16.6b

Counts

2 → 1

Alt Table

Status	Error	Program
▶	16.6b	(cbrt.f64 (/.f64 g (*.f64 2 a)))

Compiler

Compiled 24 to 18 computations (25% saved)

localize6.0ms (0.2%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	16.1b	(cbrt.f64 (/.f64 g (*.f64 2 a)))

series334.0ms (10.1%)

Counts

1 → 24

Calls

1 calls:

334.0ms

(cbrt.f64 (/.f64 g (*.f64 2 a)))

rewrite35.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

695×	`log1p-expm1-u_binary64`
695×	`expm1-log1p-u_binary64`
129×	`expm1-udef_binary64`
129×	`log1p-udef_binary64`
115×	`log-pow_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	9
1	146	9
2	1871	9

Stop Event

1×	node limit

Counts

1 → 30

Calls

1 calls:

34.0ms

(cbrt.f64 (/.f64 g (*.f64 2 a)))

simplify33.0ms (1%)

Algorithm

1×	egg-herbie

Rules

403×	`fma-def_binary64`
359×	`fma-neg_binary64`
343×	`div-sub_binary64`
310×	`times-frac_binary64`
268×	`unswap-sqr_binary64`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	40	472
1	82	472
2	164	448
3	449	312
4	1208	280
5	2965	280

Stop Event

1×	node limit

Counts

54 → 37

prune30.0ms (0.9%)

Pruning

10 alts after pruning (9 fresh and 1 done)

	Pruned	Kept	Total
New	28	9	37
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	28	10	38

Error

0.1b

Counts

38 → 10

Alt Table

Status	Error	Program
	0.8b	(/.f64 1 (/.f64 (cbrt.f64 (*.f64 2 a)) (cbrt.f64 g)))
✓	16.6b	(cbrt.f64 (/.f64 g (*.f64 2 a)))
	0.8b	(.f64 (cbrt.f64 g) (/.f64 1 (cbrt.f64 (.f64 2 a))))
	0.9b	(*.f64 (cbrt.f64 g) (cbrt.f64 (/.f64 1/2 a)))
	16.6b	(.f64 (cbrt.f64 (.f64 g (/.f64 1/2 a))) 1)
	16.6b	(*.f64 (cbrt.f64 1/2) (cbrt.f64 (/.f64 g a)))
▶	0.8b	(/.f64 (cbrt.f64 (*.f64 g 1/2)) (cbrt.f64 a))
	0.8b	(/.f64 (cbrt.f64 g) (cbrt.f64 (*.f64 2 a)))
	16.7b	(/.f64 1 (cbrt.f64 (*.f64 2 (/.f64 a g))))
	17.2b	(.f64 (cbrt.f64 (cbrt.f64 (.f64 g (/.f64 1/2 a)))) (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 g (/.f64 1/2 a)))) 2))

Compiler

Compiled 581 to 448 computations (22.9% saved)

localize5.0ms (0.2%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.4b	(/.f64 (cbrt.f64 (*.f64 g 1/2)) (cbrt.f64 a))
✓	0.6b	(cbrt.f64 (*.f64 g 1/2))
✓	0.6b	(cbrt.f64 a)

series406.0ms (12.3%)

Counts

3 → 48

Calls

3 calls:

342.0ms	(/.f64 (cbrt.f64 (*.f64 g 1/2)) (cbrt.f64 a))
37.0ms	(cbrt.f64 (*.f64 g 1/2))
27.0ms	(cbrt.f64 a)

rewrite43.0ms (1.3%)

Algorithm

1×	batch-egg-rewrite

Rules

758×	`log1p-expm1-u_binary64`
758×	`expm1-log1p-u_binary64`
139×	`log1p-udef_binary64`
80×	`egg-rr`
78×	`add-sqr-sqrt_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	18
1	163	18
2	2038	18

Stop Event

1×	node limit

Counts

3 → 80

Calls

3 calls:

42.0ms	(/.f64 (cbrt.f64 (*.f64 g 1/2)) (cbrt.f64 a))
42.0ms	(cbrt.f64 (*.f64 g 1/2))
42.0ms	(cbrt.f64 a)

simplify44.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

595×	`associate-l_binary64`
397×	`fma-def_binary64`
355×	`fma-neg_binary64`
217×	`*-commutative_binary64`
153×	`associate-/r*_binary64`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	51	652
1	117	652
2	227	628
3	583	484
4	1653	468
5	4713	468

Stop Event

1×	node limit

Counts

128 → 94

prune57.0ms (1.7%)

Pruning

15 alts after pruning (14 fresh and 1 done)

	Pruned	Kept	Total
New	87	7	94
Fresh	1	7	8
Picked	1	0	1
Done	0	1	1
Total	89	15	104

Error

0.1b

Counts

104 → 15

Alt Table

Status	Error	Program
	0.9b	(.f64 (cbrt.f64 g) (.f64 (cbrt.f64 1/2) (/.f64 1 (cbrt.f64 a))))
	16.6b	(*.f64 (cbrt.f64 1/2) (cbrt.f64 (/.f64 g a)))
	0.8b	(/.f64 1 (/.f64 (cbrt.f64 (*.f64 2 a)) (cbrt.f64 g)))
✓	16.6b	(cbrt.f64 (/.f64 g (*.f64 2 a)))
	1.5b	(/.f64 (cbrt.f64 (.f64 g 1/2)) (.f64 (cbrt.f64 (cbrt.f64 a)) (pow.f64 (cbrt.f64 (cbrt.f64 a)) 2)))
	16.7b	(/.f64 1 (cbrt.f64 (*.f64 2 (/.f64 a g))))
	0.9b	(/.f64 (*.f64 (cbrt.f64 1/2) (cbrt.f64 g)) (cbrt.f64 a))
	17.2b	(.f64 (cbrt.f64 (cbrt.f64 (.f64 g (/.f64 1/2 a)))) (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 g (/.f64 1/2 a)))) 2))
	0.8b	(.f64 (cbrt.f64 g) (/.f64 1 (cbrt.f64 (.f64 2 a))))
	0.9b	(*.f64 (cbrt.f64 g) (cbrt.f64 (/.f64 1/2 a)))
	1.6b	(*.f64 (/.f64 (cbrt.f64 g) (pow.f64 (cbrt.f64 (cbrt.f64 a)) 2)) (/.f64 (cbrt.f64 1/2) (cbrt.f64 (cbrt.f64 a))))
	17.3b	(.f64 (/.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (.f64 g 1/2))) 2) (pow.f64 (cbrt.f64 (cbrt.f64 a)) 2)) (cbrt.f64 (cbrt.f64 (/.f64 g (/.f64 a 1/2)))))
	0.8b	(.f64 (cbrt.f64 (.f64 g 1/2)) (/.f64 1 (cbrt.f64 a)))
	1.6b	(/.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 g 1/2))) 3) (cbrt.f64 a))
▶	0.8b	(/.f64 (cbrt.f64 g) (cbrt.f64 (*.f64 2 a)))

Compiler

Compiled 1428 to 1041 computations (27.1% saved)

localize7.0ms (0.2%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.4b	(/.f64 (cbrt.f64 g) (cbrt.f64 (*.f64 2 a)))
✓	0.6b	(cbrt.f64 (*.f64 2 a))
✓	0.6b	(cbrt.f64 g)

series424.0ms (12.8%)

Counts

3 → 48

Calls

3 calls:

362.0ms	(/.f64 (cbrt.f64 g) (cbrt.f64 (*.f64 2 a)))
35.0ms	(cbrt.f64 (*.f64 2 a))
28.0ms	(cbrt.f64 g)

rewrite43.0ms (1.3%)

Algorithm

1×	batch-egg-rewrite

Rules

753×	`log1p-expm1-u_binary64`
753×	`expm1-log1p-u_binary64`
139×	`log1p-udef_binary64`
79×	`egg-rr`
78×	`add-sqr-sqrt_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	18
1	163	18
2	2032	18

Stop Event

1×	node limit

Counts

3 → 79

Calls

3 calls:

42.0ms	(/.f64 (cbrt.f64 g) (cbrt.f64 (*.f64 2 a)))
42.0ms	(cbrt.f64 (*.f64 2 a))
42.0ms	(cbrt.f64 g)

simplify46.0ms (1.4%)

Algorithm

1×	egg-herbie

Rules

488×	`associate-l_binary64`
413×	`associate-r_binary64`
366×	`fma-neg_binary64`
228×	`fma-def_binary64`
149×	`*-commutative_binary64`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	51	652
1	112	652
2	226	628
3	568	484
4	1585	468
5	4837	468

Stop Event

1×	node limit

Counts

127 → 93

prune56.0ms (1.7%)

Pruning

14 alts after pruning (13 fresh and 1 done)

	Pruned	Kept	Total
New	91	2	93
Fresh	2	11	13
Picked	1	0	1
Done	0	1	1
Total	94	14	108

Error

0.0b

Counts

108 → 14

Alt Table

Status	Error	Program
	0.9b	(.f64 (cbrt.f64 g) (.f64 (cbrt.f64 1/2) (/.f64 1 (cbrt.f64 a))))
	16.6b	(*.f64 (cbrt.f64 1/2) (cbrt.f64 (/.f64 g a)))
	0.8b	(/.f64 1 (/.f64 (cbrt.f64 (*.f64 2 a)) (cbrt.f64 g)))
✓	16.6b	(cbrt.f64 (/.f64 g (*.f64 2 a)))
	1.5b	(/.f64 (cbrt.f64 (.f64 g 1/2)) (.f64 (cbrt.f64 (cbrt.f64 a)) (pow.f64 (cbrt.f64 (cbrt.f64 a)) 2)))
	16.7b	(/.f64 1 (cbrt.f64 (*.f64 2 (/.f64 a g))))
	1.2b	(*.f64 (/.f64 1 (cbrt.f64 2)) (/.f64 (cbrt.f64 g) (cbrt.f64 a)))
	0.9b	(/.f64 (*.f64 (cbrt.f64 1/2) (cbrt.f64 g)) (cbrt.f64 a))
	17.2b	(.f64 (cbrt.f64 (cbrt.f64 (.f64 g (/.f64 1/2 a)))) (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 g (/.f64 1/2 a)))) 2))
	0.9b	(*.f64 (cbrt.f64 g) (cbrt.f64 (/.f64 1/2 a)))
	1.5b	(/.f64 (cbrt.f64 g) (.f64 (cbrt.f64 (cbrt.f64 (.f64 2 a))) (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 2 a))) 2)))
	1.6b	(*.f64 (/.f64 (cbrt.f64 g) (pow.f64 (cbrt.f64 (cbrt.f64 a)) 2)) (/.f64 (cbrt.f64 1/2) (cbrt.f64 (cbrt.f64 a))))
	17.3b	(.f64 (/.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (.f64 g 1/2))) 2) (pow.f64 (cbrt.f64 (cbrt.f64 a)) 2)) (cbrt.f64 (cbrt.f64 (/.f64 g (/.f64 a 1/2)))))
▶	0.8b	(.f64 (cbrt.f64 (.f64 g 1/2)) (/.f64 1 (cbrt.f64 a)))

Compiler

Compiled 1410 to 1006 computations (28.7% saved)

localize6.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.3b	(/.f64 1 (cbrt.f64 a))
✓	0.3b	(.f64 (cbrt.f64 (.f64 g 1/2)) (/.f64 1 (cbrt.f64 a)))
	0.6b	(cbrt.f64 (*.f64 g 1/2))
	0.6b	(cbrt.f64 a)

series378.0ms (11.4%)

Counts

2 → 36

Calls

2 calls:

335.0ms	(.f64 (cbrt.f64 (.f64 g 1/2)) (/.f64 1 (cbrt.f64 a)))
43.0ms	(/.f64 1 (cbrt.f64 a))

rewrite40.0ms (1.2%)

Algorithm

1×	batch-egg-rewrite

Rules

788×	`log1p-expm1-u_binary64`
788×	`expm1-log1p-u_binary64`
92×	`add-sqr-sqrt_binary64`
86×	`add-cbrt-cube_binary64`
84×	`add-cube-cbrt_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	10	17
1	197	15
2	2253	15

Stop Event

1×	node limit

Counts

2 → 51

Calls

2 calls:

39.0ms	(/.f64 1 (cbrt.f64 a))
39.0ms	(.f64 (cbrt.f64 (.f64 g 1/2)) (/.f64 1 (cbrt.f64 a)))

simplify43.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

505×	`associate-l_binary64`
468×	`associate-r_binary64`
359×	`fma-neg_binary64`
224×	`fma-def_binary64`
187×	`associate-/l*_binary64`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	46	588
1	102	576
2	209	552
3	546	412
4	1560	392
5	4935	392

Stop Event

1×	node limit

Counts

87 → 63

prune61.0ms (1.8%)

Pruning

14 alts after pruning (12 fresh and 2 done)

	Pruned	Kept	Total
New	109	4	113
Fresh	4	8	12
Picked	0	1	1
Done	0	1	1
Total	113	14	127

Error

0.0b

Counts

127 → 14

Alt Table

Status	Error	Program
	0.9b	(*.f64 (cbrt.f64 g) (cbrt.f64 (/.f64 1/2 a)))
	0.8b	(.f64 (cbrt.f64 (.f64 g 1/2)) (/.f64 (cbrt.f64 (/.f64 -1 a)) (cbrt.f64 -1)))
	0.9b	(.f64 (cbrt.f64 g) (.f64 (cbrt.f64 1/2) (/.f64 1 (cbrt.f64 a))))
	16.6b	(*.f64 (cbrt.f64 1/2) (cbrt.f64 (/.f64 g a)))
	1.5b	(.f64 (cbrt.f64 (.f64 g 1/2)) (pow.f64 (cbrt.f64 (/.f64 1 (cbrt.f64 a))) 3))
✓	16.6b	(cbrt.f64 (/.f64 g (*.f64 2 a)))
	0.8b	(/.f64 1 (/.f64 (cbrt.f64 (*.f64 2 a)) (cbrt.f64 g)))
	1.2b	(*.f64 (/.f64 1 (cbrt.f64 2)) (/.f64 (cbrt.f64 g) (cbrt.f64 a)))
	16.7b	(cbrt.f64 (.f64 (.f64 g 1/2) (pow.f64 (/.f64 1 (cbrt.f64 a)) 3)))
	0.9b	(/.f64 (*.f64 (cbrt.f64 1/2) (cbrt.f64 g)) (cbrt.f64 a))
	17.2b	(.f64 (cbrt.f64 (cbrt.f64 (.f64 g (/.f64 1/2 a)))) (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 g (/.f64 1/2 a)))) 2))
	1.5b	(/.f64 (cbrt.f64 g) (.f64 (cbrt.f64 (cbrt.f64 (.f64 2 a))) (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 2 a))) 2)))
✓	0.8b	(.f64 (cbrt.f64 (.f64 g 1/2)) (/.f64 1 (cbrt.f64 a)))
	1.6b	(.f64 (cbrt.f64 (.f64 g 1/2)) (/.f64 1 (pow.f64 (cbrt.f64 (cbrt.f64 a)) 3)))

Compiler

Compiled 1506 to 1118 computations (25.8% saved)

regimes245.0ms (7.4%)

Accuracy

Total 0.8b remaining (92.7%)

Threshold costs 0.8b (92.7%)

Counts

50 → 1

Compiler

Compiled 3334 to 2701 computations (19% saved)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

1×	`*-commutative_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	11
1	9	11

Stop Event

1×

saturated

end160.0ms (4.8%)

Compiler: Compiled 192 to 157 computations (18.2% saved)

Details

analyze35.0ms (1%)

sample764.0ms (23.1%)

simplify6.0ms (0.2%)

prune2.0ms (0%)

localize6.0ms (0.2%)

series334.0ms (10.1%)

rewrite35.0ms (1%)

simplify33.0ms (1%)

prune30.0ms (0.9%)

localize5.0ms (0.2%)

series406.0ms (12.3%)

rewrite43.0ms (1.3%)

simplify44.0ms (1.3%)

prune57.0ms (1.7%)

localize7.0ms (0.2%)

series424.0ms (12.8%)

rewrite43.0ms (1.3%)

simplify46.0ms (1.4%)

prune56.0ms (1.7%)

localize6.0ms (0.2%)

series378.0ms (11.4%)

rewrite40.0ms (1.2%)

simplify43.0ms (1.3%)

prune61.0ms (1.8%)

regimes245.0ms (7.4%)

simplify2.0ms (0.1%)

end160.0ms (4.8%)

Profiling