Details

analyze496.0ms (7.9%)

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
0%	99.9%	0.1%	3
0%	99.9%	0.1%	4
25%	74.9%	0.1%	5
25%	68.7%	6.3%	6
43.7%	46.8%	9.5%	7
43.7%	42.1%	14.1%	8
46.8%	36.7%	16.5%	9
46.8%	34%	19.2%	10
48.4%	31%	20.6%	11
48.4%	29.6%	22%	12
49.2%	28%	22.8%	13
49.2%	27.3%	23.5%	14

Compiler

Compiled 10 to 7 computations (30% saved)

sample3.9s (62.4%)

Results

1.1s	2091×	body	1024	valid
1.1s	2121×	body	1024	invalid
593.0ms	4600×	body	128	valid
392.0ms	1049×	body	512	valid
332.0ms	1002×	body	512	invalid
119.0ms	514×	body	256	valid
110.0ms	500×	body	256	invalid
100.0ms	738×	body	128	invalid
2.0ms	2×	body	2048	valid

Compiler

Compiled 29 to 20 computations (31% saved)

simplify91.0ms (1.5%)

Algorithm

1×	egg-herbie

Rules

855×	`fma-def_binary64`
772×	`unswap-sqr_binary64`
448×	`associate-/l*_binary64`
363×	`times-frac_binary64`
280×	`associate-/r*_binary64`

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	11
1	16	11
2	32	11
3	60	11
4	107	11
5	169	11
6	327	11
7	806	11
8	2101	11
9	2217	11
10	2592	11
11	4159	11
12	4537	11
13	4915	11
14	4955	11
15	4919	11

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

0.1b

Counts

2 → 1

Alt Table

Status	Error	Program
▶	0.1b	(*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y))

Compiler

Compiled 27 to 18 computations (33.3% saved)

localize5.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y))
✓	0.1b	(/.f64 (sin.f64 y) y)

series38.0ms (0.6%)

Counts

2 → 28

Calls

2 calls:

35.0ms	(*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y))
3.0ms	(/.f64 (sin.f64 y) y)

rewrite51.0ms (0.8%)

Algorithm

2×	batch-egg-rewrite

Rules

776×	`log1p-expm1-u_binary64`
776×	`expm1-log1p-u_binary64`
144×	`log1p-udef_binary64`
79×	`add-sqr-sqrt_binary64`
73×	`add-log-exp_binary64`

Counts

2 → 67

Calls

2 calls:

50.0ms	(*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y))
50.0ms	(/.f64 (sin.f64 y) y)

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	17
1	149	17
2	1982	17
3	5123	17
0	0	0
1	0	0

simplify44.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

528×	`times-frac_binary64`
505×	`associate-/l*_binary64`
447×	`fma-neg_binary64`
297×	`sub-neg_binary64`
289×	`fma-def_binary64`

Counts

95 → 91

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	83	711
1	241	680
2	696	662
3	2418	646
4	5188	646

prune96.0ms (1.5%)

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	83	8	91
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	84	8	92

Error

0.0b

Counts

92 → 8

Alt Table

Status	Error	Program
	1.4b	(.f64 (cosh.f64 x) (.f64 (pow.f64 (cbrt.f64 (sin.f64 y)) 2) (*.f64 (cbrt.f64 (sin.f64 y)) (/.f64 1 y))))
	35.3b	(/.f64 (/.f64 (*.f64 (sin.f64 y) (cosh.f64 x)) (sqrt.f64 y)) (sqrt.f64 y))
▶	0.1b	(*.f64 (/.f64 (sin.f64 y) y) (fma.f64 1/2 (exp.f64 x) (/.f64 1/2 (exp.f64 x))))
	0.7b	(*.f64 (cosh.f64 x) (pow.f64 (cbrt.f64 (/.f64 (sin.f64 y) y)) 3))
	0.3b	(.f64 (cosh.f64 x) (.f64 (sin.f64 y) (/.f64 1 y)))
	30.0b	(.f64 (cosh.f64 x) (fma.f64 (.f64 y y) -1/6 1))
	0.7b	(.f64 (cosh.f64 x) (.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 y)) 2) (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 (/.f64 (sin.f64 y) y))))
	35.3b	(.f64 (cosh.f64 x) (.f64 (/.f64 1 (sqrt.f64 y)) (/.f64 (sin.f64 y) (sqrt.f64 y))))

Compiler

Compiled 1518 to 735 computations (51.6% saved)

localize8.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(*.f64 (/.f64 (sin.f64 y) y) (fma.f64 1/2 (exp.f64 x) (/.f64 1/2 (exp.f64 x))))
✓	0.0b	(fma.f64 1/2 (exp.f64 x) (/.f64 1/2 (exp.f64 x)))
✓	0.0b	(/.f64 1/2 (exp.f64 x))
	0.1b	(/.f64 (sin.f64 y) y)

series52.0ms (0.8%)

Counts

3 → 40

Calls

3 calls:

33.0ms	(*.f64 (/.f64 (sin.f64 y) y) (fma.f64 1/2 (exp.f64 x) (/.f64 1/2 (exp.f64 x))))
11.0ms	(/.f64 1/2 (exp.f64 x))
8.0ms	(fma.f64 1/2 (exp.f64 x) (/.f64 1/2 (exp.f64 x)))

rewrite63.0ms (1%)

Algorithm

2×	batch-egg-rewrite

Rules

526×	`log-prod_binary64`
193×	`expm1-udef_binary64`
193×	`log1p-udef_binary64`
178×	`pow3_binary64`
173×	`log-pow_binary64`

Counts

3 → 91

Calls

3 calls:

61.0ms	(*.f64 (/.f64 (sin.f64 y) y) (fma.f64 1/2 (exp.f64 x) (/.f64 1/2 (exp.f64 x))))
61.0ms	(fma.f64 1/2 (exp.f64 x) (/.f64 1/2 (exp.f64 x)))
61.0ms	(/.f64 1/2 (exp.f64 x))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	38
1	210	38
2	2644	32
3	4976	32
0	0	0
1	0	0

simplify66.0ms (1%)

Algorithm

1×	egg-herbie

Rules

743×	`fma-neg_binary64`
718×	`times-frac_binary64`
345×	`fma-def_binary64`
299×	`sub-neg_binary64`
182×	`associate-+l+_binary64`

Counts

131 → 123

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	89	906
1	266	815
2	760	795
3	2708	785
4	4872	785
5	5141	785

prune155.0ms (2.5%)

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	161	2	163
Fresh	1	6	7
Picked	0	1	1
Done	0	0	0
Total	162	9	171

Error

0.0b

Counts

171 → 9

Alt Table

Status	Error	Program
	1.4b	(.f64 (cosh.f64 x) (.f64 (pow.f64 (cbrt.f64 (sin.f64 y)) 2) (*.f64 (cbrt.f64 (sin.f64 y)) (/.f64 1 y))))
	35.3b	(/.f64 (/.f64 (*.f64 (sin.f64 y) (cosh.f64 x)) (sqrt.f64 y)) (sqrt.f64 y))
✓	0.1b	(*.f64 (/.f64 (sin.f64 y) y) (fma.f64 1/2 (exp.f64 x) (/.f64 1/2 (exp.f64 x))))
	0.7b	(*.f64 (cosh.f64 x) (pow.f64 (cbrt.f64 (/.f64 (sin.f64 y) y)) 3))
	0.3b	(.f64 (cosh.f64 x) (.f64 (sin.f64 y) (/.f64 1 y)))
▶	0.2b	(/.f64 (.f64 1/2 (.f64 2 (cosh.f64 x))) (/.f64 y (sin.f64 y)))
	1.4b	(*.f64 (/.f64 (sin.f64 y) y) (fma.f64 1/2 (exp.f64 x) (+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 1/2 (exp.f64 x))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 1/2 (exp.f64 x))))))))
	30.0b	(.f64 (cosh.f64 x) (fma.f64 (.f64 y y) -1/6 1))
	35.3b	(.f64 (cosh.f64 x) (.f64 (/.f64 1 (sqrt.f64 y)) (/.f64 (sin.f64 y) (sqrt.f64 y))))

Compiler

Compiled 3200 to 1746 computations (45.4% saved)

localize8.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.1b	(/.f64 y (sin.f64 y))
✓	0.1b	(/.f64 (.f64 1/2 (.f64 2 (cosh.f64 x))) (/.f64 y (sin.f64 y)))

series46.0ms (0.7%)

Counts

2 → 28

Calls

2 calls:

37.0ms	(/.f64 (.f64 1/2 (.f64 2 (cosh.f64 x))) (/.f64 y (sin.f64 y)))
9.0ms	(/.f64 y (sin.f64 y))

rewrite60.0ms (1%)

Algorithm

2×	batch-egg-rewrite

Rules

625×	`log-prod_binary64`
197×	`expm1-udef_binary64`
197×	`log1p-udef_binary64`
168×	`log-pow_binary64`
160×	`log-div_binary64`

Counts

2 → 96

Calls

2 calls:

58.0ms	(/.f64 y (sin.f64 y))
58.0ms	(/.f64 (.f64 1/2 (.f64 2 (cosh.f64 x))) (/.f64 y (sin.f64 y)))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	17
1	223	17
2	2953	17
3	5368	17
0	0	0
1	0	0

simplify60.0ms (1%)

Algorithm

1×	egg-herbie

Rules

718×	`fma-neg_binary64`
528×	`times-frac_binary64`
501×	`associate-/l*_binary64`
323×	`fma-def_binary64`
259×	`sub-neg_binary64`

Counts

124 → 121

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	84	707
1	236	678
2	676	662
3	2332	646
4	5000	646
5	5344	646

prune114.0ms (1.8%)

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	118	3	121
Fresh	4	3	7
Picked	0	1	1
Done	0	1	1
Total	122	8	130

Error

Counts

130 → 8

Alt Table

Status	Error	Program
	0.3b	(/.f64 (.f64 1/2 (.f64 2 (cosh.f64 x))) (*.f64 y (/.f64 1 (sin.f64 y))))
	35.3b	(/.f64 (/.f64 (*.f64 (sin.f64 y) (cosh.f64 x)) (sqrt.f64 y)) (sqrt.f64 y))
▶	0.3b	(*.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y))
✓	0.2b	(/.f64 (.f64 1/2 (.f64 2 (cosh.f64 x))) (/.f64 y (sin.f64 y)))
✓	0.1b	(*.f64 (/.f64 (sin.f64 y) y) (fma.f64 1/2 (exp.f64 x) (/.f64 1/2 (exp.f64 x))))
	0.7b	(*.f64 (cosh.f64 x) (pow.f64 (cbrt.f64 (/.f64 (sin.f64 y) y)) 3))
	35.3b	(.f64 (cosh.f64 x) (.f64 (/.f64 1 (sqrt.f64 y)) (/.f64 (sin.f64 y) (sqrt.f64 y))))
	14.7b	(/.f64 (.f64 1/2 (.f64 2 (cosh.f64 x))) (pow.f64 (sqrt.f64 (/.f64 y (sin.f64 y))) 2))

Compiler

Compiled 2128 to 1022 computations (52% saved)

localize6.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(/.f64 (cosh.f64 x) y)
✓	0.2b	(*.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y))

series56.0ms (0.9%)

Counts

2 → 48

Calls

2 calls:

32.0ms	(*.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y))
24.0ms	(/.f64 (cosh.f64 x) y)

rewrite45.0ms (0.7%)

Algorithm

2×	batch-egg-rewrite

Rules

769×	`log1p-expm1-u_binary64`
769×	`expm1-log1p-u_binary64`
144×	`log1p-udef_binary64`
79×	`add-sqr-sqrt_binary64`
73×	`add-log-exp_binary64`

Counts

2 → 59

Calls

2 calls:

44.0ms	(/.f64 (cosh.f64 x) y)
44.0ms	(*.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	17
1	149	17
2	1972	17
3	5085	17
0	0	0
1	0	0

simplify50.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

638×	`times-frac_binary64`
602×	`associate-/l*_binary64`
336×	`fma-neg_binary64`
283×	`fma-def_binary64`
259×	`sub-neg_binary64`

Counts

107 → 87

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	87	1105
1	246	1040
2	686	990
3	2338	974
4	5161	974

prune69.0ms (1.1%)

Pruning

8 alts after pruning (5 fresh and 3 done)

	Pruned	Kept	Total
New	87	0	87
Fresh	0	5	5
Picked	0	1	1
Done	0	2	2
Total	87	8	95

Error

Counts

95 → 8

Alt Table

Status	Error	Program
	0.3b	(/.f64 (.f64 1/2 (.f64 2 (cosh.f64 x))) (*.f64 y (/.f64 1 (sin.f64 y))))
	35.3b	(/.f64 (/.f64 (*.f64 (sin.f64 y) (cosh.f64 x)) (sqrt.f64 y)) (sqrt.f64 y))
✓	0.3b	(*.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y))
✓	0.2b	(/.f64 (.f64 1/2 (.f64 2 (cosh.f64 x))) (/.f64 y (sin.f64 y)))
✓	0.1b	(*.f64 (/.f64 (sin.f64 y) y) (fma.f64 1/2 (exp.f64 x) (/.f64 1/2 (exp.f64 x))))
	0.7b	(*.f64 (cosh.f64 x) (pow.f64 (cbrt.f64 (/.f64 (sin.f64 y) y)) 3))
	35.3b	(.f64 (cosh.f64 x) (.f64 (/.f64 1 (sqrt.f64 y)) (/.f64 (sin.f64 y) (sqrt.f64 y))))
	14.7b	(/.f64 (.f64 1/2 (.f64 2 (cosh.f64 x))) (pow.f64 (sqrt.f64 (/.f64 y (sin.f64 y))) 2))

Compiler

Compiled 1387 to 647 computations (53.4% saved)

regimes561.0ms (8.9%)

Accuracy

Total 0.1b remaining (56.9%)

Threshold costs 0.1b (56.9%)

Counts

119 → 1

Compiler

Compiled 8955 to 6516 computations (27.2% saved)

simplify2.0ms (0%)

Algorithm

1×	egg-herbie

Rules

1×	`*-commutative_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	20
1	11	20
2	11	20

end114.0ms (1.8%)

Compiler: Compiled 138 to 98 computations (29% saved)

Details

analyze496.0ms (7.9%)

sample3.9s (62.4%)

simplify91.0ms (1.5%)

prune2.0ms (0%)

localize5.0ms (0.1%)

series38.0ms (0.6%)

rewrite51.0ms (0.8%)

simplify44.0ms (0.7%)

prune96.0ms (1.5%)

localize8.0ms (0.1%)

series52.0ms (0.8%)

rewrite63.0ms (1%)

simplify66.0ms (1%)

prune155.0ms (2.5%)

localize8.0ms (0.1%)

series46.0ms (0.7%)

rewrite60.0ms (1%)

simplify60.0ms (1%)

prune114.0ms (1.8%)

localize6.0ms (0.1%)

series56.0ms (0.9%)

rewrite45.0ms (0.7%)

simplify50.0ms (0.8%)

prune69.0ms (1.1%)

regimes561.0ms (8.9%)

simplify2.0ms (0%)

end114.0ms (1.8%)

Profiling