Details

analyze489.0ms (6.4%)

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
43.7%	56.2%	0.1%	6
43.7%	46.8%	9.5%	7
46.8%	42.1%	11%	8
46.8%	36.7%	16.5%	9
48.4%	34%	17.7%	10
48.4%	31%	20.6%	11
49.2%	29.6%	21.3%	12
49.2%	28%	22.8%	13
49.6%	27.3%	23.1%	14

Compiler

Compiled 10 to 7 computations (30% saved)

sample4.2s (54.4%)

Results

1.4s	2054×	body	1024	invalid
1.0s	6507×	body	128	valid
494.0ms	660×	body	1024	valid
446.0ms	1015×	body	512	invalid
299.0ms	681×	body	512	valid
143.0ms	498×	body	256	invalid
137.0ms	787×	body	128	invalid
114.0ms	408×	body	256	valid

Compiler

Compiled 29 to 20 computations (31% saved)

simplify79.0ms (1%)

Algorithm

1×	egg-herbie

Rules

694×	`fma-neg_binary64`
544×	`times-frac_binary64`
474×	`fma-def_binary64`
461×	`associate-/l*_binary64`
377×	`div-sub_binary64`

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	11
1	16	11
2	37	11
3	76	11
4	166	11
5	390	11
6	1109	11
7	3717	11
8	4738	11
9	4947	11
10	4910	11

prune3.0ms (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

12.9b

Counts

2 → 1

Alt Table

Status	Error	Program
▶	12.9b	(/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x)

Compiler

Compiled 27 to 18 computations (33.3% saved)

localize9.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(sinh.f64 y)
✓	0.1b	(*.f64 (sin.f64 x) (sinh.f64 y))
✓	12.9b	(/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x)

series105.0ms (1.4%)

Counts

3 → 60

Calls

3 calls:

53.0ms	(/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x)
37.0ms	(*.f64 (sin.f64 x) (sinh.f64 y))
14.0ms	(sinh.f64 y)

rewrite70.0ms (0.9%)

Algorithm

2×	batch-egg-rewrite

Rules

801×	`log1p-expm1-u_binary64`
801×	`expm1-log1p-u_binary64`
83×	`egg-rr`
79×	`add-sqr-sqrt_binary64`
73×	`add-log-exp_binary64`

Counts

3 → 83

Calls

3 calls:

68.0ms	(sinh.f64 y)
68.0ms	(*.f64 (sin.f64 x) (sinh.f64 y))
68.0ms	(/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x)

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	22
1	149	22
2	2031	22
3	5040	22
0	0	0
1	0	0

simplify106.0ms (1.4%)

Algorithm

1×	egg-herbie

Rules

695×	`fma-def_binary64`
584×	`times-frac_binary64`
287×	`associate--r+_binary64`
283×	`associate-+l+_binary64`
261×	`associate--l+_binary64`

Counts

143 → 129

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	137	1473
1	416	1414
2	1305	1312
3	4710	1312
4	5476	1312

prune186.0ms (2.4%)

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	122	7	129
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	123	7	130

Error

Counts

130 → 7

Alt Table

Status	Error	Program
	12.9b	(/.f64 (log1p.f64 (expm1.f64 (*.f64 (sin.f64 x) (sinh.f64 y)))) x)
	31.4b	(pow.f64 (sqrt.f64 (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x)) 2)
	13.6b	(.f64 (/.f64 (pow.f64 (cbrt.f64 (.f64 (sin.f64 x) (sinh.f64 y))) 2) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x)))
▶	0.1b	(*.f64 (/.f64 (sin.f64 x) x) (sinh.f64 y))
	0.3b	(.f64 (sin.f64 x) (.f64 (sinh.f64 y) (/.f64 1 x)))
	1.0b	(*.f64 (sin.f64 x) (/.f64 1 (/.f64 x (sinh.f64 y))))
	13.6b	(/.f64 (+.f64 (.f64 1/6 (.f64 (pow.f64 y 3) (sin.f64 x))) (*.f64 y (sin.f64 x))) x)

Compiler

Compiled 2259 to 1109 computations (50.9% saved)

localize11.0ms (0.1%)

Local error

Found 3 expressions with local error:

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

series73.0ms (1%)

Counts

2 → 28

Calls

2 calls:

68.0ms	(*.f64 (/.f64 (sin.f64 x) x) (sinh.f64 y))
6.0ms	(/.f64 (sin.f64 x) x)

rewrite74.0ms (1%)

Algorithm

2×	batch-egg-rewrite

Rules

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

Counts

2 → 66

Calls

2 calls:

72.0ms	(*.f64 (/.f64 (sin.f64 x) x) (sinh.f64 y))
72.0ms	(/.f64 (sin.f64 x) x)

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	17
1	149	17
2	1988	17
3	5139	17
0	0	0
1	0	0

simplify88.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

956×	`fma-neg_binary64`
473×	`times-frac_binary64`
377×	`sub-neg_binary64`
278×	`fma-def_binary64`
203×	`distribute-rgt-neg-in_binary64`

Counts

94 → 93

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	90	767
1	272	754
2	823	676
3	2842	670
4	4851	670
5	5091	670

prune339.0ms (4.4%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	124	0	124
Fresh	0	6	6
Picked	0	1	1
Done	0	0	0
Total	124	7	131

Error

Counts

131 → 7

Alt Table

Status	Error	Program
	12.9b	(/.f64 (log1p.f64 (expm1.f64 (*.f64 (sin.f64 x) (sinh.f64 y)))) x)
	31.4b	(pow.f64 (sqrt.f64 (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x)) 2)
	13.6b	(.f64 (/.f64 (pow.f64 (cbrt.f64 (.f64 (sin.f64 x) (sinh.f64 y))) 2) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x)))
✓	0.1b	(*.f64 (/.f64 (sin.f64 x) x) (sinh.f64 y))
▶	0.3b	(.f64 (sin.f64 x) (.f64 (sinh.f64 y) (/.f64 1 x)))
	1.0b	(*.f64 (sin.f64 x) (/.f64 1 (/.f64 x (sinh.f64 y))))
	13.6b	(/.f64 (+.f64 (.f64 1/6 (.f64 (pow.f64 y 3) (sin.f64 x))) (*.f64 y (sin.f64 x))) x)

Compiler

Compiled 1896 to 899 computations (52.6% saved)

localize13.0ms (0.2%)

Local error

Found 3 expressions with local error:

New	Error	Program
	0.0b	(sinh.f64 y)
✓	0.2b	(.f64 (sin.f64 x) (.f64 (sinh.f64 y) (/.f64 1 x)))
✓	0.2b	(*.f64 (sinh.f64 y) (/.f64 1 x))

series198.0ms (2.6%)

Counts

2 → 48

Calls

2 calls:

156.0ms	(.f64 (sin.f64 x) (.f64 (sinh.f64 y) (/.f64 1 x)))
42.0ms	(*.f64 (sinh.f64 y) (/.f64 1 x))

rewrite68.0ms (0.9%)

Algorithm

2×	batch-egg-rewrite

Rules

837×	`log1p-expm1-u_binary64`
837×	`expm1-log1p-u_binary64`
93×	`add-sqr-sqrt_binary64`
85×	`add-cbrt-cube_binary64`
85×	`add-log-exp_binary64`

Counts

2 → 50

Calls

2 calls:

66.0ms	(.f64 (sin.f64 x) (.f64 (sinh.f64 y) (/.f64 1 x)))
66.0ms	(*.f64 (sinh.f64 y) (/.f64 1 x))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	17
1	185	17
2	2193	17
3	5220	17
0	0	0
1	0	0

simplify213.0ms (2.8%)

Algorithm

1×	egg-herbie

Rules

696×	`fma-neg_binary64`
611×	`times-frac_binary64`
346×	`sub-neg_binary64`
268×	`fma-def_binary64`
192×	`distribute-rgt-neg-in_binary64`

Counts

98 → 82

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	99	1117
1	297	1082
2	857	1004
3	2856	998
4	4962	998
5	5050	998

prune156.0ms (2%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	113	0	113
Fresh	0	5	5
Picked	0	1	1
Done	0	1	1
Total	113	7	120

Error

Counts

120 → 7

Alt Table

Status	Error	Program
	12.9b	(/.f64 (log1p.f64 (expm1.f64 (*.f64 (sin.f64 x) (sinh.f64 y)))) x)
	31.4b	(pow.f64 (sqrt.f64 (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x)) 2)
	13.6b	(.f64 (/.f64 (pow.f64 (cbrt.f64 (.f64 (sin.f64 x) (sinh.f64 y))) 2) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x)))
✓	0.1b	(*.f64 (/.f64 (sin.f64 x) x) (sinh.f64 y))
✓	0.3b	(.f64 (sin.f64 x) (.f64 (sinh.f64 y) (/.f64 1 x)))
▶	1.0b	(*.f64 (sin.f64 x) (/.f64 1 (/.f64 x (sinh.f64 y))))
	13.6b	(/.f64 (+.f64 (.f64 1/6 (.f64 (pow.f64 y 3) (sin.f64 x))) (*.f64 y (sin.f64 x))) x)

Compiler

Compiled 1849 to 977 computations (47.2% saved)

localize12.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.0b	(sinh.f64 y)
✓	0.0b	(/.f64 x (sinh.f64 y))
✓	0.2b	(*.f64 (sin.f64 x) (/.f64 1 (/.f64 x (sinh.f64 y))))
✓	1.0b	(/.f64 1 (/.f64 x (sinh.f64 y)))

series210.0ms (2.7%)

Counts

3 → 72

Calls

3 calls:

111.0ms	(/.f64 x (sinh.f64 y))
57.0ms	(*.f64 (sin.f64 x) (/.f64 1 (/.f64 x (sinh.f64 y))))
41.0ms	(/.f64 1 (/.f64 x (sinh.f64 y)))

rewrite86.0ms (1.1%)

Algorithm

2×	batch-egg-rewrite

Rules

915×	`log1p-expm1-u_binary64`
915×	`expm1-log1p-u_binary64`
101×	`egg-rr`
97×	`add-sqr-sqrt_binary64`
89×	`add-cbrt-cube_binary64`

Counts

3 → 101

Calls

3 calls:

83.0ms	(/.f64 x (sinh.f64 y))
83.0ms	(*.f64 (sin.f64 x) (/.f64 1 (/.f64 x (sinh.f64 y))))
83.0ms	(/.f64 1 (/.f64 x (sinh.f64 y)))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	26
1	191	23
2	2378	23
3	5753	23
0	0	0
1	0	0

simplify103.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

898×	`fma-neg_binary64`
621×	`times-frac_binary64`
325×	`fma-def_binary64`
194×	`associate-r_binary64`
185×	`cancel-sign-sub-inv_binary64`

Counts

173 → 144

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	116	1510
1	346	1466
2	1013	1381
3	3365	1374
4	4952	1374

prune227.0ms (3%)

Pruning

7 alts after pruning (4 fresh and 3 done)

	Pruned	Kept	Total
New	175	0	175
Fresh	0	4	4
Picked	0	1	1
Done	0	2	2
Total	175	7	182

Error

Counts

182 → 7

Alt Table

Status	Error	Program
	12.9b	(/.f64 (log1p.f64 (expm1.f64 (*.f64 (sin.f64 x) (sinh.f64 y)))) x)
	31.4b	(pow.f64 (sqrt.f64 (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x)) 2)
	13.6b	(.f64 (/.f64 (pow.f64 (cbrt.f64 (.f64 (sin.f64 x) (sinh.f64 y))) 2) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x)))
✓	0.1b	(*.f64 (/.f64 (sin.f64 x) x) (sinh.f64 y))
✓	0.3b	(.f64 (sin.f64 x) (.f64 (sinh.f64 y) (/.f64 1 x)))
✓	1.0b	(*.f64 (sin.f64 x) (/.f64 1 (/.f64 x (sinh.f64 y))))
	13.6b	(/.f64 (+.f64 (.f64 1/6 (.f64 (pow.f64 y 3) (sin.f64 x))) (*.f64 y (sin.f64 x))) x)

Compiler

Compiled 2693 to 1317 computations (51.1% saved)

regimes420.0ms (5.5%)

Accuracy

Total 0.1b remaining (77%)

Threshold costs 0.1b (77%)

Counts

60 → 1

Compiler

Compiled 3205 to 2171 computations (32.3% saved)

simplify3.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	11
1	7	11

end166.0ms (2.2%)

Compiler: Compiled 113 to 77 computations (31.9% saved)

Details

analyze489.0ms (6.4%)

sample4.2s (54.4%)

simplify79.0ms (1%)

prune3.0ms (0%)

localize9.0ms (0.1%)

series105.0ms (1.4%)

rewrite70.0ms (0.9%)

simplify106.0ms (1.4%)

prune186.0ms (2.4%)

localize11.0ms (0.1%)

series73.0ms (1%)

rewrite74.0ms (1%)

simplify88.0ms (1.1%)

prune339.0ms (4.4%)

localize13.0ms (0.2%)

series198.0ms (2.6%)

rewrite68.0ms (0.9%)

simplify213.0ms (2.8%)

prune156.0ms (2%)

localize12.0ms (0.2%)

series210.0ms (2.7%)

rewrite86.0ms (1.1%)

simplify103.0ms (1.3%)

prune227.0ms (3%)

regimes420.0ms (5.5%)

simplify3.0ms (0%)

end166.0ms (2.2%)

Profiling