Details

analyze39.0ms (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)

sample743.0ms (18.7%)

Results

714.0ms

8256×

body

128

valid

Compiler

Compiled 26 to 20 computations (23.1% saved)

simplify7.0ms (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

14.9b

Counts

2 → 1

Alt Table

Status	Error	Program
▶	14.9b	(cbrt.f64 (/.f64 g (*.f64 2 a)))

Compiler

Compiled 24 to 18 computations (25% saved)

localize4.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	14.6b	(cbrt.f64 (/.f64 g (*.f64 2 a)))

series352.0ms (8.8%)

Counts

1 → 24

Calls

1 calls:

352.0ms

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

rewrite35.0ms (0.9%)

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 (0.8%)

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

prune29.0ms (0.7%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	30	7	37
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	30	8	38

Error

0.1b

Counts

38 → 8

Alt Table

Status	Error	Program
	0.8b	(/.f64 1 (/.f64 (cbrt.f64 (*.f64 2 a)) (cbrt.f64 g)))
	15.2b	(/.f64 1 (cbrt.f64 (*.f64 2 (/.f64 a g))))
	0.8b	(.f64 (cbrt.f64 g) (/.f64 1 (cbrt.f64 (.f64 2 a))))
▶	0.8b	(*.f64 (cbrt.f64 g) (cbrt.f64 (/.f64 1/2 a)))
✓	14.9b	(cbrt.f64 (/.f64 g (*.f64 2 a)))
	15.0b	(*.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)))

Compiler

Compiled 523 to 402 computations (23.1% saved)

localize5.0ms (0.1%)

Local error

Found 3 expressions with local error:

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

series412.0ms (10.3%)

Counts

3 → 48

Calls

3 calls:

350.0ms	(*.f64 (cbrt.f64 g) (cbrt.f64 (/.f64 1/2 a)))
34.0ms	(cbrt.f64 (/.f64 1/2 a))
28.0ms	(cbrt.f64 g)

rewrite40.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

687×	`log1p-expm1-u_binary64`
687×	`expm1-log1p-u_binary64`
138×	`expm1-udef_binary64`
138×	`log1p-udef_binary64`
127×	`log-pow_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	18
1	164	18
2	1927	18

Stop Event

1×	node limit

Counts

3 → 65

Calls

3 calls:

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

simplify44.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

476×	`times-frac_binary64`
417×	`fma-def_binary64`
347×	`fma-neg_binary64`
346×	`div-sub_binary64`
289×	`*-commutative_binary64`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	50	680
1	115	680
2	231	624
3	580	512
4	1684	472
5	3538	472

Stop Event

1×	node limit

Counts

113 → 79

prune45.0ms (1.1%)

Pruning

10 alts after pruning (8 fresh and 2 done)

	Pruned	Kept	Total
New	75	4	79
Fresh	2	4	6
Picked	0	1	1
Done	0	1	1
Total	77	10	87

Error

0.1b

Counts

87 → 10

Alt Table

Status	Error	Program
	0.8b	(.f64 (cbrt.f64 g) (.f64 (cbrt.f64 1/2) (/.f64 1 (cbrt.f64 a))))
✓	14.9b	(cbrt.f64 (/.f64 g (*.f64 2 a)))
	1.5b	(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 g)) 3) (cbrt.f64 (/.f64 1/2 a)))
	0.8b	(/.f64 1 (/.f64 (cbrt.f64 (*.f64 2 a)) (cbrt.f64 g)))
	15.2b	(/.f64 1 (cbrt.f64 (*.f64 2 (/.f64 a g))))
✓	0.8b	(*.f64 (cbrt.f64 g) (cbrt.f64 (/.f64 1/2 a)))
	1.5b	(.f64 (cbrt.f64 g) (.f64 (cbrt.f64 (cbrt.f64 (/.f64 1/2 a))) (pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 1/2 a))) 2)))
▶	0.8b	(.f64 (cbrt.f64 g) (.f64 (cbrt.f64 (/.f64 -1 a)) (cbrt.f64 -1/2)))
	15.0b	(*.f64 (cbrt.f64 1/2) (cbrt.f64 (/.f64 g a)))
	0.8b	(/.f64 (cbrt.f64 (*.f64 g 1/2)) (cbrt.f64 a))

Compiler

Compiled 1025 to 745 computations (27.3% saved)

localize9.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.3b	(.f64 (cbrt.f64 g) (.f64 (cbrt.f64 (/.f64 -1 a)) (cbrt.f64 -1/2)))
✓	0.4b	(*.f64 (cbrt.f64 (/.f64 -1 a)) (cbrt.f64 -1/2))
✓	0.5b	(cbrt.f64 (/.f64 -1 a))
	0.6b	(cbrt.f64 g)

series569.0ms (14.3%)

Counts

3 → 48

Calls

3 calls:

471.0ms	(.f64 (cbrt.f64 g) (.f64 (cbrt.f64 (/.f64 -1 a)) (cbrt.f64 -1/2)))
64.0ms	(*.f64 (cbrt.f64 (/.f64 -1 a)) (cbrt.f64 -1/2))
34.0ms	(cbrt.f64 (/.f64 -1 a))

rewrite49.0ms (1.2%)

Algorithm

1×	batch-egg-rewrite

Rules

878×	`log1p-expm1-u_binary64`
878×	`expm1-log1p-u_binary64`
101×	`add-sqr-sqrt_binary64`
96×	`add-cbrt-cube_binary64`
95×	`add-cube-cbrt_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	11	29
1	217	21
2	2470	21

Stop Event

1×	node limit

Counts

3 → 59

Calls

3 calls:

48.0ms	(.f64 (cbrt.f64 g) (.f64 (cbrt.f64 (/.f64 -1 a)) (cbrt.f64 -1/2)))
48.0ms	(*.f64 (cbrt.f64 (/.f64 -1 a)) (cbrt.f64 -1/2))
48.0ms	(cbrt.f64 (/.f64 -1 a))

simplify52.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

506×	`unswap-sqr_binary64`
386×	`associate-l_binary64`
344×	`fma-neg_binary64`
283×	`associate-r_binary64`
224×	`fma-def_binary64`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	50	860
1	118	860
2	254	836
3	704	696
4	2493	628
5	4949	628

Stop Event

1×	node limit

Counts

107 → 74

prune60.0ms (1.5%)

Pruning

12 alts after pruning (9 fresh and 3 done)

	Pruned	Kept	Total
New	95	3	98
Fresh	1	6	7
Picked	0	1	1
Done	0	2	2
Total	96	12	108

Error

0.1b

Counts

108 → 12

Alt Table

Status	Error	Program
✓	0.8b	(*.f64 (cbrt.f64 g) (cbrt.f64 (/.f64 1/2 a)))
	15.1b	(cbrt.f64 (pow.f64 (cbrt.f64 (*.f64 (/.f64 1/2 a) g)) 3))
	0.8b	(.f64 (cbrt.f64 g) (.f64 (cbrt.f64 1/2) (/.f64 1 (cbrt.f64 a))))
✓	14.9b	(cbrt.f64 (/.f64 g (*.f64 2 a)))
	1.5b	(.f64 (cbrt.f64 g) (.f64 (cbrt.f64 (cbrt.f64 (/.f64 1/2 a))) (pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 1/2 a))) 2)))
	1.6b	(.f64 (cbrt.f64 g) (.f64 (*.f64 (/.f64 -1 (cbrt.f64 (cbrt.f64 a))) (pow.f64 (/.f64 -1 (cbrt.f64 (cbrt.f64 a))) 2)) (cbrt.f64 -1/2)))
▶	0.8b	(/.f64 1 (/.f64 (cbrt.f64 (*.f64 2 a)) (cbrt.f64 g)))
	15.2b	(/.f64 1 (cbrt.f64 (*.f64 2 (/.f64 a g))))
	1.4b	(.f64 (pow.f64 (cbrt.f64 (cbrt.f64 g)) 3) (.f64 (cbrt.f64 (/.f64 -1 a)) (cbrt.f64 -1/2)))
✓	0.8b	(.f64 (cbrt.f64 g) (.f64 (cbrt.f64 (/.f64 -1 a)) (cbrt.f64 -1/2)))
	15.0b	(*.f64 (cbrt.f64 1/2) (cbrt.f64 (/.f64 g a)))
	0.8b	(/.f64 (cbrt.f64 (*.f64 g 1/2)) (cbrt.f64 a))

Compiler

Compiled 1446 to 1073 computations (25.8% saved)

localize7.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(/.f64 1 (/.f64 (cbrt.f64 (*.f64 2 a)) (cbrt.f64 g)))
✓	0.3b	(/.f64 (cbrt.f64 (*.f64 2 a)) (cbrt.f64 g))
	0.6b	(cbrt.f64 g)
✓	0.6b	(cbrt.f64 (*.f64 2 a))

series798.0ms (20%)

Counts

3 → 60

Calls

3 calls:

384.0ms	(/.f64 1 (/.f64 (cbrt.f64 (*.f64 2 a)) (cbrt.f64 g)))
372.0ms	(/.f64 (cbrt.f64 (*.f64 2 a)) (cbrt.f64 g))
41.0ms	(cbrt.f64 (*.f64 2 a))

rewrite55.0ms (1.4%)

Algorithm

1×	batch-egg-rewrite

Rules

893×	`log1p-expm1-u_binary64`
893×	`expm1-log1p-u_binary64`
102×	`egg-rr`
95×	`add-sqr-sqrt_binary64`
90×	`add-cbrt-cube_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	10	27
1	204	24
2	2506	24

Stop Event

1×	node limit

Counts

3 → 102

Calls

3 calls:

53.0ms	(/.f64 1 (/.f64 (cbrt.f64 (*.f64 2 a)) (cbrt.f64 g)))
53.0ms	(/.f64 (cbrt.f64 (*.f64 2 a)) (cbrt.f64 g))
53.0ms	(cbrt.f64 (*.f64 2 a))

simplify50.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

337×	`fma-def_binary64`
303×	`associate-/l*_binary64`
275×	`distribute-rgt-in_binary64`
206×	`exp-sum_binary64`
188×	`div-sub_binary64`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	68	1072
1	152	1072
2	321	1024
3	814	712
4	2280	704

Stop Event

1×	node limit

Counts

162 → 121

prune81.0ms (2%)

Pruning

13 alts after pruning (10 fresh and 3 done)

	Pruned	Kept	Total
New	141	4	145
Fresh	2	6	8
Picked	1	0	1
Done	0	3	3
Total	144	13	157

Error

0.0b

Counts

157 → 13

Alt Table

Status	Error	Program
✓	0.8b	(*.f64 (cbrt.f64 g) (cbrt.f64 (/.f64 1/2 a)))
	0.8b	(/.f64 1 (.f64 (cbrt.f64 (.f64 2 a)) (/.f64 1 (cbrt.f64 g))))
	0.8b	(.f64 (cbrt.f64 g) (.f64 (cbrt.f64 1/2) (/.f64 1 (cbrt.f64 a))))
✓	14.9b	(cbrt.f64 (/.f64 g (*.f64 2 a)))
	15.0b	(*.f64 (cbrt.f64 1/2) (cbrt.f64 (/.f64 g a)))
	1.1b	(/.f64 1 (/.f64 (*.f64 (cbrt.f64 2) (cbrt.f64 a)) (cbrt.f64 g)))
	15.2b	(/.f64 1 (cbrt.f64 (*.f64 2 (/.f64 a g))))
	1.4b	(.f64 (pow.f64 (cbrt.f64 (cbrt.f64 g)) 3) (.f64 (cbrt.f64 (/.f64 -1 a)) (cbrt.f64 -1/2)))
	0.8b	(/.f64 1 (neg.f64 (/.f64 (cbrt.f64 (*.f64 2 a)) (neg.f64 (cbrt.f64 g)))))
	1.6b	(.f64 (cbrt.f64 g) (.f64 (*.f64 (/.f64 -1 (cbrt.f64 (cbrt.f64 a))) (pow.f64 (/.f64 -1 (cbrt.f64 (cbrt.f64 a))) 2)) (cbrt.f64 -1/2)))
✓	0.8b	(.f64 (cbrt.f64 g) (.f64 (cbrt.f64 (/.f64 -1 a)) (cbrt.f64 -1/2)))
	1.5b	(/.f64 1 (/.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 2 a))) 3) (cbrt.f64 g)))
	0.8b	(/.f64 (cbrt.f64 (*.f64 g 1/2)) (cbrt.f64 a))

Compiler

Compiled 2038 to 1500 computations (26.4% saved)

regimes316.0ms (7.9%)

Accuracy

Total 0.8b remaining (91.8%)

Threshold costs 0.8b (91.8%)

Counts

58 → 1

Compiler

Compiled 4037 to 3311 computations (18% saved)

simplify2.0ms (0%)

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

end144.0ms (3.6%)

Compiler: Compiled 175 to 142 computations (18.9% saved)

Details

analyze39.0ms (1%)

sample743.0ms (18.7%)

simplify7.0ms (0.2%)

prune2.0ms (0%)

localize4.0ms (0.1%)

series352.0ms (8.8%)

rewrite35.0ms (0.9%)

simplify33.0ms (0.8%)

prune29.0ms (0.7%)

localize5.0ms (0.1%)

series412.0ms (10.3%)

rewrite40.0ms (1%)

simplify44.0ms (1.1%)

prune45.0ms (1.1%)

localize9.0ms (0.2%)

series569.0ms (14.3%)

rewrite49.0ms (1.2%)

simplify52.0ms (1.3%)

prune60.0ms (1.5%)

localize7.0ms (0.2%)

series798.0ms (20%)

rewrite55.0ms (1.4%)

simplify50.0ms (1.2%)

prune81.0ms (2%)

regimes316.0ms (7.9%)

simplify2.0ms (0%)

end144.0ms (3.6%)

Profiling