Details

analyze35.0ms (0.9%)

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)

sample759.0ms (19.5%)

Results

730.0ms

8256×

body

128

valid

Compiler

Compiled 26 to 20 computations (23.1% saved)

simplify6.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

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

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	9
1	10	9
2	12	9
3	12	9

prune1.0ms (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

13.5b

Counts

2 → 1

Alt Table

Status	Error	Program
▶	13.5b	(cbrt.f64 (/.f64 g (*.f64 2 a)))

Compiler

Compiled 24 to 18 computations (25% saved)

localize4.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.2b	(/.f64 g (*.f64 2 a))
✓	12.9b	(cbrt.f64 (/.f64 g (*.f64 2 a)))

series415.0ms (10.6%)

Counts

2 → 48

Calls

2 calls:

409.0ms	(cbrt.f64 (/.f64 g (*.f64 2 a)))
6.0ms	(/.f64 g (*.f64 2 a))

rewrite43.0ms (1.1%)

Algorithm

2×	batch-egg-rewrite

Rules

72× egg-rr

Counts

2 → 72

Calls

2 calls:

42.0ms	((cbrt.f64 (/.f64 g (.f64 2 a))) (/.f64 g (.f64 2 a)))
0.0ms	()

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	16
1	145	16
2	1811	16
3	4982	16
0	0	0
1	0	0

simplify64.0ms (1.7%)

Algorithm

1×	egg-herbie

Rules

801×	`div-sub_binary64`
688×	`fma-def_binary64`
513×	`fma-neg_binary64`
326×	`times-frac_binary64`
268×	`unswap-sqr_binary64`

Counts

120 → 79

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	42	640
1	81	640
2	140	616
3	387	480
4	917	448
5	2171	448
6	4010	448
7	5008	448

prune50.0ms (1.3%)

Pruning

11 alts after pruning (11 fresh and 0 done)

	Pruned	Kept	Total
New	68	11	79
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	69	11	80

Error

0.1b

Counts

80 → 11

Alt Table

Status	Error	Program
	13.6b	(cbrt.f64 (.f64 (/.f64 1 (pow.f64 (cbrt.f64 (.f64 2 a)) 2)) (/.f64 g (cbrt.f64 (*.f64 2 a)))))
	36.0b	(log1p.f64 (expm1.f64 (cbrt.f64 (/.f64 g (*.f64 2 a)))))
	0.8b	(/.f64 (cbrt.f64 (/.f64 g 2)) (cbrt.f64 a))
	1.1b	(/.f64 (cbrt.f64 g) (cbrt.f64 (*.f64 2 a)))
	1.1b	(/.f64 1 (/.f64 (cbrt.f64 (*.f64 2 a)) (cbrt.f64 g)))
	13.1b	(/.f64 1 (cbrt.f64 (/.f64 (*.f64 2 a) g)))
	1.1b	(.f64 (cbrt.f64 g) (/.f64 1 (cbrt.f64 (.f64 2 a))))
▶	0.8b	(*.f64 (cbrt.f64 g) (cbrt.f64 (/.f64 1/2 a)))
	14.1b	(cbrt.f64 (pow.f64 (/.f64 (*.f64 2 a) g) -1))
	13.4b	(cbrt.f64 (*.f64 (/.f64 (pow.f64 (cbrt.f64 g) 2) 2) (/.f64 (cbrt.f64 g) a)))
	13.2b	(*.f64 (cbrt.f64 1/2) (cbrt.f64 (/.f64 g a)))

Compiler

Compiled 1084 to 806 computations (25.6% saved)

localize5.0ms (0.1%)

Local error

Found 3 expressions with local error:

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

series470.0ms (12%)

Counts

3 → 48

Calls

3 calls:

400.0ms	(*.f64 (cbrt.f64 g) (cbrt.f64 (/.f64 1/2 a)))
37.0ms	(cbrt.f64 g)
33.0ms	(cbrt.f64 (/.f64 1/2 a))

rewrite72.0ms (1.9%)

Algorithm

2×	batch-egg-rewrite

Rules

65× egg-rr

Counts

3 → 65

Calls

2 calls:

71.0ms	((cbrt.f64 g) (cbrt.f64 (/.f64 1/2 a)) (*.f64 (cbrt.f64 g) (cbrt.f64 (/.f64 1/2 a))))
0.0ms	()

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	18
1	162	18
2	1842	18
3	4987	18
4	5023	18
0	0	0
1	0	0

simplify51.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

688×	`unswap-sqr_binary64`
476×	`times-frac_binary64`
431×	`fma-def_binary64`
347×	`div-sub_binary64`
347×	`fma-neg_binary64`

Counts

113 → 79

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	50	680
1	109	680
2	194	624
3	490	496
4	1293	472
5	2564	472
6	5038	472

prune47.0ms (1.2%)

Pruning

14 alts after pruning (13 fresh and 1 done)

	Pruned	Kept	Total
New	74	5	79
Fresh	2	8	10
Picked	0	1	1
Done	0	0	0
Total	76	14	90

Error

0.1b

Counts

90 → 14

Alt Table

Status	Error	Program
	13.6b	(cbrt.f64 (.f64 (/.f64 1 (pow.f64 (cbrt.f64 (.f64 2 a)) 2)) (/.f64 g (cbrt.f64 (*.f64 2 a)))))
	1.5b	(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 g)) 3) (cbrt.f64 (/.f64 1/2 a)))
	36.0b	(log1p.f64 (expm1.f64 (cbrt.f64 (/.f64 g (*.f64 2 a)))))
	0.9b	(*.f64 (cbrt.f64 g) (/.f64 (cbrt.f64 1/2) (cbrt.f64 a)))
	13.2b	(*.f64 (cbrt.f64 1/2) (cbrt.f64 (/.f64 g a)))
	0.9b	(.f64 (cbrt.f64 g) (.f64 (cbrt.f64 1/2) (/.f64 1 (cbrt.f64 a))))
▶	0.8b	(.f64 (cbrt.f64 g) (.f64 (cbrt.f64 (/.f64 -1 a)) (cbrt.f64 -1/2)))
	0.8b	(/.f64 (cbrt.f64 (/.f64 g 2)) (cbrt.f64 a))
	1.1b	(/.f64 (cbrt.f64 g) (cbrt.f64 (*.f64 2 a)))
	1.1b	(/.f64 1 (/.f64 (cbrt.f64 (*.f64 2 a)) (cbrt.f64 g)))
	13.1b	(/.f64 1 (cbrt.f64 (/.f64 (*.f64 2 a) g)))
✓	0.8b	(*.f64 (cbrt.f64 g) (cbrt.f64 (/.f64 1/2 a)))
	1.5b	(*.f64 (cbrt.f64 g) (pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 1/2 a))) 3))
	13.4b	(cbrt.f64 (*.f64 (/.f64 (pow.f64 (cbrt.f64 g) 2) 2) (/.f64 (cbrt.f64 g) a)))

Compiler

Compiled 1119 to 823 computations (26.5% saved)

localize9.0ms (0.2%)

Local error

Found 4 expressions with local error:

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

series572.0ms (14.7%)

Counts

3 → 48

Calls

3 calls:

474.0ms	(.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))
33.0ms	(cbrt.f64 (/.f64 -1 a))

rewrite53.0ms (1.4%)

Algorithm

2×	batch-egg-rewrite

Rules

59× egg-rr

Counts

3 → 59

Calls

2 calls:

52.0ms	((cbrt.f64 (/.f64 -1 a)) (.f64 (cbrt.f64 (/.f64 -1 a)) (cbrt.f64 -1/2)) (.f64 (cbrt.f64 g) (*.f64 (cbrt.f64 (/.f64 -1 a)) (cbrt.f64 -1/2))))
0.0ms	()

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	29
1	214	21
2	2364	21
3	5417	21
0	0	0
1	0	0

simplify61.0ms (1.6%)

Algorithm

1×	egg-herbie

Rules

769×	`times-frac_binary64`
506×	`unswap-sqr_binary64`
479×	`fma-def_binary64`
386×	`associate-l_binary64`
344×	`fma-neg_binary64`

Counts

107 → 71

Iterations

Useful iterations: 5 (0.0ms)

Iter	Nodes	Cost
0	50	908
1	109	908
2	207	884
3	591	696
4	1841	656
5	3891	548
6	5104	548

prune56.0ms (1.4%)

Pruning

15 alts after pruning (13 fresh and 2 done)

	Pruned	Kept	Total
New	92	3	95
Fresh	2	10	12
Picked	0	1	1
Done	0	1	1
Total	94	15	109

Error

0.0b

Counts

109 → 15

Alt Table

Status	Error	Program
	1.4b	(.f64 (cbrt.f64 g) (.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 -1 a))) 3) (cbrt.f64 -1/2)))
	1.5b	(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 g)) 3) (cbrt.f64 (/.f64 1/2 a)))
	13.2b	(cbrt.f64 (*.f64 (/.f64 1/2 a) g))
	13.4b	(cbrt.f64 (*.f64 (/.f64 (pow.f64 (cbrt.f64 g) 2) 2) (/.f64 (cbrt.f64 g) a)))
	34.7b	(*.f64 (cbrt.f64 g) (pow.f64 (sqrt.f64 (cbrt.f64 (/.f64 1/2 a))) 2))
	13.2b	(*.f64 (cbrt.f64 1/2) (cbrt.f64 (/.f64 g a)))
	0.9b	(.f64 (cbrt.f64 g) (.f64 (cbrt.f64 1/2) (/.f64 1 (cbrt.f64 a))))
✓	0.8b	(.f64 (cbrt.f64 g) (.f64 (cbrt.f64 (/.f64 -1 a)) (cbrt.f64 -1/2)))
	0.9b	(*.f64 (cbrt.f64 g) (/.f64 (cbrt.f64 1/2) (cbrt.f64 a)))
▶	0.8b	(/.f64 (cbrt.f64 (/.f64 g 2)) (cbrt.f64 a))
	1.1b	(/.f64 (cbrt.f64 g) (cbrt.f64 (*.f64 2 a)))
	1.1b	(/.f64 1 (/.f64 (cbrt.f64 (*.f64 2 a)) (cbrt.f64 g)))
	13.1b	(/.f64 1 (cbrt.f64 (/.f64 (*.f64 2 a) g)))
✓	0.8b	(*.f64 (cbrt.f64 g) (cbrt.f64 (/.f64 1/2 a)))
	1.5b	(*.f64 (cbrt.f64 g) (pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 1/2 a))) 3))

Compiler

Compiled 1452 to 1110 computations (23.6% saved)

localize5.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.3b	(/.f64 (cbrt.f64 (/.f64 g 2)) (cbrt.f64 a))
✓	0.6b	(cbrt.f64 a)
✓	0.7b	(cbrt.f64 (/.f64 g 2))

series520.0ms (13.4%)

Counts

3 → 48

Calls

3 calls:

455.0ms	(/.f64 (cbrt.f64 (/.f64 g 2)) (cbrt.f64 a))
33.0ms	(cbrt.f64 (/.f64 g 2))
32.0ms	(cbrt.f64 a)

rewrite49.0ms (1.3%)

Algorithm

2×	batch-egg-rewrite

Rules

82× egg-rr

Counts

3 → 82

Calls

2 calls:

47.0ms	((cbrt.f64 (/.f64 g 2)) (cbrt.f64 a) (/.f64 (cbrt.f64 (/.f64 g 2)) (cbrt.f64 a)))
0.0ms	()

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	18
1	169	18
2	2084	18
3	4987	18
0	0	0
1	0	0

simplify56.0ms (1.4%)

Algorithm

1×	egg-herbie

Rules

772×	`unswap-sqr_binary64`
605×	`associate-l_binary64`
405×	`fma-def_binary64`
355×	`fma-neg_binary64`
350×	`div-sub_binary64`

Counts

130 → 97

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	51	652
1	111	652
2	195	616
3	500	484
4	1269	468
5	3400	468
6	5338	468

prune52.0ms (1.3%)

Pruning

13 alts after pruning (12 fresh and 1 done)

	Pruned	Kept	Total
New	94	3	97
Fresh	3	9	12
Picked	1	0	1
Done	1	1	2
Total	99	13	112

Error

0.0b

Counts

112 → 13

Alt Table

Status	Error	Program
	1.4b	(.f64 (cbrt.f64 g) (.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 -1 a))) 3) (cbrt.f64 -1/2)))
	1.5b	(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 g)) 3) (cbrt.f64 (/.f64 1/2 a)))
	1.2b	(/.f64 (/.f64 (cbrt.f64 g) (cbrt.f64 2)) (cbrt.f64 a))
	0.9b	(*.f64 (cbrt.f64 g) (/.f64 (cbrt.f64 1/2) (cbrt.f64 a)))
	0.8b	(.f64 (cbrt.f64 1/2) (.f64 (cbrt.f64 (neg.f64 g)) (cbrt.f64 (/.f64 -1 a))))
	1.1b	(/.f64 1 (/.f64 (cbrt.f64 (*.f64 2 a)) (cbrt.f64 g)))
	13.2b	(*.f64 (cbrt.f64 1/2) (cbrt.f64 (/.f64 g a)))
	0.9b	(.f64 (cbrt.f64 g) (.f64 (cbrt.f64 1/2) (/.f64 1 (cbrt.f64 a))))
	0.9b	(/.f64 (/.f64 1 (cbrt.f64 (/.f64 2 g))) (cbrt.f64 a))
	13.1b	(/.f64 1 (cbrt.f64 (/.f64 (*.f64 2 a) g)))
✓	0.8b	(*.f64 (cbrt.f64 g) (cbrt.f64 (/.f64 1/2 a)))
	1.5b	(*.f64 (cbrt.f64 g) (pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 1/2 a))) 3))
	13.2b	(cbrt.f64 (*.f64 (/.f64 1/2 a) g))

Compiler

Compiled 1202 to 876 computations (27.1% saved)

regimes295.0ms (7.6%)

Accuracy

Total 0.8b remaining (92.6%)

Threshold costs 0.8b (92.6%)

Counts

59 → 1

Compiler

Compiled 3630 to 2952 computations (18.7% saved)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

3×	`*-commutative_binary64`
1×	`+-commutative_binary64`
1×	`sub-neg_binary64`
1×	`neg-sub0_binary64`
1×	`neg-mul-1_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	18
1	17	18
2	19	18
3	20	18
4	20	18

end143.0ms (3.7%)

Compiler: Compiled 168 to 138 computations (17.9% saved)

Details

analyze35.0ms (0.9%)

sample759.0ms (19.5%)

simplify6.0ms (0.1%)

prune1.0ms (0%)

localize4.0ms (0.1%)

series415.0ms (10.6%)

rewrite43.0ms (1.1%)

simplify64.0ms (1.7%)

prune50.0ms (1.3%)

localize5.0ms (0.1%)

series470.0ms (12%)

rewrite72.0ms (1.9%)

simplify51.0ms (1.3%)

prune47.0ms (1.2%)

localize9.0ms (0.2%)

series572.0ms (14.7%)

rewrite53.0ms (1.4%)

simplify61.0ms (1.6%)

prune56.0ms (1.4%)

localize5.0ms (0.1%)

series520.0ms (13.4%)

rewrite49.0ms (1.3%)

simplify56.0ms (1.4%)

prune52.0ms (1.3%)

regimes295.0ms (7.6%)

simplify2.0ms (0.1%)

end143.0ms (3.7%)

Profiling