Details

analyze481.0ms (7%)

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)

sample4.4s (64.1%)

Results

1.4s	2177×	body	1024	valid
1.2s	1976×	body	1024	invalid
600.0ms	4516×	body	128	valid
408.0ms	1055×	body	512	invalid
346.0ms	1062×	body	512	valid
142.0ms	522×	body	256	invalid
115.0ms	496×	body	256	valid
110.0ms	746×	body	128	invalid
6.0ms	5×	body	2048	valid

Compiler

Compiled 29 to 20 computations (31% saved)

simplify95.0ms (1.4%)

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)

localize6.0ms (0.1%)

Local error

Found 3 expressions with local error:

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

series41.0ms (0.6%)

Counts

3 → 32

Calls

3 calls:

36.0ms	(*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y))
3.0ms	(/.f64 (sin.f64 y) y)
2.0ms	(sin.f64 y)

rewrite54.0ms (0.8%)

Algorithm

2×	batch-egg-rewrite

Rules

83× egg-rr

Counts

3 → 83

Calls

2 calls:

53.0ms	((/.f64 (sin.f64 y) y) (*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y)) (sin.f64 y))
0.0ms	()

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	20
1	149	20
2	1982	20
3	5123	20
0	0	0
1	0	0

simplify71.0ms (1%)

Algorithm

1×	egg-herbie

Rules

888×	`fma-neg_binary64`
528×	`times-frac_binary64`
339×	`fma-def_binary64`
336×	`sub-neg_binary64`
237×	`distribute-rgt-neg-in_binary64`

Counts

115 → 115

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	97	767
1	286	732
2	824	710
3	2892	709
4	4970	709
5	5224	709

prune104.0ms (1.5%)

Pruning

9 alts after pruning (9 fresh and 0 done)

	Pruned	Kept	Total
New	106	9	115
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	107	9	116

Error

Counts

116 → 9

Alt Table

Status	Error	Program
	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))))
▶	0.1b	(/.f64 (+.f64 (.f64 1/2 (.f64 (sin.f64 y) (exp.f64 x))) (*.f64 1/2 (/.f64 (sin.f64 y) (exp.f64 x)))) y)
	30.1b	(.f64 (cosh.f64 x) (.f64 (/.f64 (sqrt.f64 (sin.f64 y)) 1) (/.f64 (sqrt.f64 (sin.f64 y)) y)))
	0.2b	(/.f64 (cosh.f64 x) (/.f64 y (sin.f64 y)))
	0.2b	(*.f64 (cosh.f64 x) (/.f64 (log1p.f64 (expm1.f64 (sin.f64 y))) y))
	22.1b	(*.f64 (cosh.f64 x) (/.f64 (cbrt.f64 (pow.f64 (sin.f64 y) 3)) y))
	0.2b	(.f64 (cosh.f64 x) (.f64 (sin.f64 y) (/.f64 1 y)))
	17.1b	(*.f64 (cosh.f64 x) (pow.f64 (sqrt.f64 (/.f64 (sin.f64 y) y)) 2))
	31.6b	(/.f64 (/.f64 (*.f64 (sin.f64 y) (cosh.f64 x)) (sqrt.f64 y)) (sqrt.f64 y))

Compiler

Compiled 1834 to 891 computations (51.4% saved)

localize10.0ms (0.1%)

Local error

Found 4 expressions with local error:

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

series96.0ms (1.4%)

Counts

4 → 32

Calls

4 calls:

41.0ms	(/.f64 (+.f64 (.f64 1/2 (.f64 (sin.f64 y) (exp.f64 x))) (*.f64 1/2 (/.f64 (sin.f64 y) (exp.f64 x)))) y)
29.0ms	(+.f64 (.f64 1/2 (.f64 (sin.f64 y) (exp.f64 x))) (*.f64 1/2 (/.f64 (sin.f64 y) (exp.f64 x))))
15.0ms	(/.f64 (sin.f64 y) (exp.f64 x))
11.0ms	(*.f64 (sin.f64 y) (exp.f64 x))

rewrite87.0ms (1.3%)

Algorithm

2×	batch-egg-rewrite

Rules

149× egg-rr

Counts

4 → 149

Calls

2 calls:

84.0ms

((/.f64 (+.f64 (*.f64 1/2 (*.f64 (sin.f64 y) (exp.f64 x))) (*.f64 1/2 (/.f64 (sin.f64 y) (exp.f64 x)))) y) (*.f64 (sin.f64 y) (exp.f64 x)) (/.f64 (sin.f64 y) (exp.f64 x)) (+.f64 (*.f64 1/2 (*.f64 (sin.f64 y) (exp.f64 x))) (*.f64 1/2 (/.f64 (sin.f64 y) (exp.f64 x)))))

0.0ms

()

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	61
1	263	55
2	3600	55
3	4966	55
0	0	0
1	0	0

simplify61.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

818×	`times-frac_binary64`
786×	`fma-def_binary64`
359×	`cancel-sign-sub-inv_binary64`
333×	`associate-r_binary64`
300×	`associate-l_binary64`

Counts

181 → 205

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	137	975
1	436	930
2	1383	864
3	4643	864
4	5838	864

prune193.0ms (2.8%)

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	205	0	205
Fresh	0	8	8
Picked	0	1	1
Done	0	0	0
Total	205	9	214

Error

Counts

214 → 9

Alt Table

Status	Error	Program
	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))))
✓	0.1b	(/.f64 (+.f64 (.f64 1/2 (.f64 (sin.f64 y) (exp.f64 x))) (*.f64 1/2 (/.f64 (sin.f64 y) (exp.f64 x)))) y)
	30.1b	(.f64 (cosh.f64 x) (.f64 (/.f64 (sqrt.f64 (sin.f64 y)) 1) (/.f64 (sqrt.f64 (sin.f64 y)) y)))
▶	0.2b	(/.f64 (cosh.f64 x) (/.f64 y (sin.f64 y)))
	0.2b	(*.f64 (cosh.f64 x) (/.f64 (log1p.f64 (expm1.f64 (sin.f64 y))) y))
	22.1b	(*.f64 (cosh.f64 x) (/.f64 (cbrt.f64 (pow.f64 (sin.f64 y) 3)) y))
	0.2b	(.f64 (cosh.f64 x) (.f64 (sin.f64 y) (/.f64 1 y)))
	17.1b	(*.f64 (cosh.f64 x) (pow.f64 (sqrt.f64 (/.f64 (sin.f64 y) y)) 2))
	31.6b	(/.f64 (/.f64 (*.f64 (sin.f64 y) (cosh.f64 x)) (sqrt.f64 y)) (sqrt.f64 y))

Compiler

Compiled 5161 to 2261 computations (56.2% saved)

localize6.0ms (0.1%)

Local error

Found 3 expressions with local error:

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

series42.0ms (0.6%)

Counts

2 → 28

Calls

2 calls:

35.0ms	(/.f64 (cosh.f64 x) (/.f64 y (sin.f64 y)))
7.0ms	(/.f64 y (sin.f64 y))

rewrite66.0ms (1%)

Algorithm

2×	batch-egg-rewrite

Rules

76× egg-rr

Counts

2 → 76

Calls

2 calls:

65.0ms	((/.f64 (cosh.f64 x) (/.f64 y (sin.f64 y))) (/.f64 y (sin.f64 y)))
0.0ms	()

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	17
1	155	17
2	2195	17
3	5496	17
0	0	0
1	0	0

simplify62.0ms (0.9%)

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

104 → 101

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

prune106.0ms (1.6%)

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	123	3	126
Fresh	3	4	7
Picked	1	0	1
Done	1	0	1
Total	128	7	135

Error

Counts

135 → 7

Alt Table

Status	Error	Program
	0.7b	(/.f64 (cosh.f64 x) (pow.f64 (cbrt.f64 (/.f64 y (sin.f64 y))) 3))
	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))))
	30.1b	(.f64 (cosh.f64 x) (.f64 (/.f64 (sqrt.f64 (sin.f64 y)) 1) (/.f64 (sqrt.f64 (sin.f64 y)) y)))
	0.2b	(/.f64 (cosh.f64 x) (*.f64 y (/.f64 1 (sin.f64 y))))
▶	0.2b	(*.f64 (cosh.f64 x) (/.f64 (log1p.f64 (expm1.f64 (sin.f64 y))) y))
	22.1b	(*.f64 (cosh.f64 x) (/.f64 (cbrt.f64 (pow.f64 (sin.f64 y) 3)) y))
	0.2b	(*.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y))

Compiler

Compiled 1945 to 888 computations (54.3% saved)

localize9.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(*.f64 (cosh.f64 x) (/.f64 (log1p.f64 (expm1.f64 (sin.f64 y))) y))
✓	0.1b	(/.f64 (log1p.f64 (expm1.f64 (sin.f64 y))) y)
✓	0.1b	(expm1.f64 (sin.f64 y))
✓	0.2b	(log1p.f64 (expm1.f64 (sin.f64 y)))

series40.0ms (0.6%)

Counts

4 → 60

Calls

4 calls:

32.0ms	(*.f64 (cosh.f64 x) (/.f64 (log1p.f64 (expm1.f64 (sin.f64 y))) y))
3.0ms	(/.f64 (log1p.f64 (expm1.f64 (sin.f64 y))) y)
2.0ms	(expm1.f64 (sin.f64 y))
2.0ms	(log1p.f64 (expm1.f64 (sin.f64 y)))

rewrite57.0ms (0.8%)

Algorithm

2×	batch-egg-rewrite

Rules

102× egg-rr

Counts

4 → 102

Calls

2 calls:

56.0ms	((log1p.f64 (expm1.f64 (sin.f64 y))) (expm1.f64 (sin.f64 y)) (/.f64 (log1p.f64 (expm1.f64 (sin.f64 y))) y) (*.f64 (cosh.f64 x) (/.f64 (log1p.f64 (expm1.f64 (sin.f64 y))) y)))
0.0ms	()

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	25
1	168	25
2	2173	25
3	5370	25
0	0	0
1	0	0

simplify110.0ms (1.6%)

Algorithm

1×	egg-herbie

Rules

740×	`fma-neg_binary64`
528×	`times-frac_binary64`
390×	`fma-def_binary64`
377×	`sub-neg_binary64`
249×	`cancel-sign-sub-inv_binary64`

Counts

162 → 141

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	108	935
1	321	894
2	922	870
3	3169	869
4	4899	869
5	4979	869
6	4998	869
7	4941	869

prune74.0ms (1.1%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	141	0	141
Fresh	0	6	6
Picked	0	1	1
Done	0	0	0
Total	141	7	148

Error

Counts

148 → 7

Alt Table

Status	Error	Program
	0.7b	(/.f64 (cosh.f64 x) (pow.f64 (cbrt.f64 (/.f64 y (sin.f64 y))) 3))
	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))))
	30.1b	(.f64 (cosh.f64 x) (.f64 (/.f64 (sqrt.f64 (sin.f64 y)) 1) (/.f64 (sqrt.f64 (sin.f64 y)) y)))
	0.2b	(/.f64 (cosh.f64 x) (*.f64 y (/.f64 1 (sin.f64 y))))
✓	0.2b	(*.f64 (cosh.f64 x) (/.f64 (log1p.f64 (expm1.f64 (sin.f64 y))) y))
	22.1b	(*.f64 (cosh.f64 x) (/.f64 (cbrt.f64 (pow.f64 (sin.f64 y) 3)) y))
	0.2b	(*.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y))

Compiler

Compiled 2060 to 970 computations (52.9% saved)

regimes480.0ms (7%)

Accuracy

Total 0.1b remaining (72.4%)

Threshold costs 0.1b (72.4%)

Counts

101 → 1

Compiler

Compiled 8081 to 5593 computations (30.8% saved)

simplify2.0ms (0%)

Algorithm

1×	egg-herbie

Rules

3×	`*-commutative_binary64`
1×	`+-commutative_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	27
1	16	27
2	16	27

end104.0ms (1.5%)

Compiler: Compiled 130 to 89 computations (31.5% saved)

Details

analyze481.0ms (7%)

sample4.4s (64.1%)

simplify95.0ms (1.4%)

prune2.0ms (0%)

localize6.0ms (0.1%)

series41.0ms (0.6%)

rewrite54.0ms (0.8%)

simplify71.0ms (1%)

prune104.0ms (1.5%)

localize10.0ms (0.1%)

series96.0ms (1.4%)

rewrite87.0ms (1.3%)

simplify61.0ms (0.9%)

prune193.0ms (2.8%)

localize6.0ms (0.1%)

series42.0ms (0.6%)

rewrite66.0ms (1%)

simplify62.0ms (0.9%)

prune106.0ms (1.6%)

localize9.0ms (0.1%)

series40.0ms (0.6%)

rewrite57.0ms (0.8%)

simplify110.0ms (1.6%)

prune74.0ms (1.1%)

regimes480.0ms (7%)

simplify2.0ms (0%)

end104.0ms (1.5%)

Profiling