Details

analyze485.0ms (8.6%)

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
0%	99.9%	0.1%	5
6.2%	93.7%	0.1%	6
37.5%	53.1%	9.5%	7
37.5%	51.5%	11%	8
43.7%	39.8%	16.5%	9
43.7%	38.6%	17.7%	10
46.8%	32.6%	20.6%	11
46.8%	31.9%	21.3%	12
48.4%	28.8%	22.8%	13
48.4%	28.5%	23.1%	14

Compiler

Compiled 10 to 7 computations (30% saved)

sample3.8s (67%)

Results

1.1s	2073×	body	1024	valid
1.0s	2049×	body	1024	invalid
588.0ms	4694×	body	128	valid
330.0ms	1023×	body	512	invalid
329.0ms	992×	body	512	valid
124.0ms	517×	body	256	invalid
111.0ms	828×	body	128	invalid
109.0ms	494×	body	256	valid
6.0ms	3×	body	2048	valid

Compiler

Compiled 29 to 20 computations (31% saved)

simplify18.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

491×	`times-frac_binary64`
402×	`associate-/l*_binary64`
310×	`fma-def_binary64`
305×	`associate-l_binary64`
293×	`associate-r_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	11
1	16	11
2	35	11
3	77	11
4	171	11
5	431	11
6	1301	11

Stop Event

1×	node limit

Counts

1 → 2

prune3.0ms (0%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Kept	Total
New	2	2
Fresh	1	1
Picked	0	0
Done	0	0
Total	3	3

Error

0.0b

Counts

3 → 2

Alt Table

Status	Error	Program
	0.1b	(*.f64 (sinh.f64 y) (/.f64 (sin.f64 x) y))
▶	0.0b	(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y))

Compiler

Compiled 52 to 32 computations (38.5% saved)

localize5.0ms (0.1%)

Local error

Found 3 expressions with local error:

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

series50.0ms (0.9%)

Counts

3 → 48

Calls

3 calls:

31.0ms	(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y))
12.0ms	(/.f64 (sinh.f64 y) y)
7.0ms	(sinh.f64 y)

rewrite45.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

760×	`log1p-expm1-u_binary64`
760×	`expm1-log1p-u_binary64`
142×	`log1p-udef_binary64`
80×	`egg-rr`
78×	`add-sqr-sqrt_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	20
1	148	20
2	2014	20

Stop Event

1×	node limit

Counts

3 → 80

Calls

3 calls:

43.0ms	(sinh.f64 y)
43.0ms	(/.f64 (sinh.f64 y) y)
43.0ms	(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y))

simplify47.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

994×	`fma-neg_binary64`
492×	`fma-def_binary64`
218×	`associate-l_binary64`
216×	`associate-/l*_binary64`
199×	`associate-r_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	124	1037
1	386	985
2	1185	957
3	4524	955

Stop Event

1×	node limit

Counts

128 → 119

prune87.0ms (1.5%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	117	2	119
Fresh	0	1	1
Picked	1	0	1
Done	0	0	0
Total	118	3	121

Error

Counts

121 → 3

Alt Table

Status	Error	Program
▶	0.1b	(*.f64 (sinh.f64 y) (/.f64 (sin.f64 x) y))
	0.3b	(*.f64 (sin.f64 x) (cbrt.f64 (pow.f64 (/.f64 (sinh.f64 y) y) 3)))
	0.9b	(.f64 (sin.f64 x) (fma.f64 1/120 (pow.f64 y 4) (fma.f64 1/6 (.f64 y y) 1)))

Compiler

Compiled 1785 to 861 computations (51.8% saved)

localize5.0ms (0.1%)

Local error

Found 3 expressions with local error:

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

series39.0ms (0.7%)

Counts

2 → 28

Calls

2 calls:

31.0ms	(*.f64 (sinh.f64 y) (/.f64 (sin.f64 x) y))
8.0ms	(/.f64 (sin.f64 x) y)

rewrite42.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

767×	`log1p-expm1-u_binary64`
767×	`expm1-log1p-u_binary64`
142×	`log1p-udef_binary64`
78×	`add-sqr-sqrt_binary64`
72×	`add-log-exp_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	17
1	148	17
2	2025	17

Stop Event

1×	node limit

Counts

2 → 65

Calls

2 calls:

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

simplify43.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

384×	`sub-neg_binary64`
337×	`fma-def_binary64`
214×	`associate-/l*_binary64`
188×	`times-frac_binary64`
163×	`associate-r_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	110	837
1	344	825
2	1086	742
3	4181	742

Stop Event

1×	node limit

Counts

93 → 92

prune69.0ms (1.2%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	124	0	124
Fresh	0	2	2
Picked	0	1	1
Done	0	0	0
Total	124	3	127

Error

Counts

127 → 3

Alt Table

Status	Error	Program
✓	0.1b	(*.f64 (sinh.f64 y) (/.f64 (sin.f64 x) y))
▶	0.3b	(*.f64 (sin.f64 x) (cbrt.f64 (pow.f64 (/.f64 (sinh.f64 y) y) 3)))
	0.9b	(.f64 (sin.f64 x) (fma.f64 1/120 (pow.f64 y 4) (fma.f64 1/6 (.f64 y y) 1)))

Compiler

Compiled 1873 to 850 computations (54.6% saved)

localize8.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(*.f64 (sin.f64 x) (cbrt.f64 (pow.f64 (/.f64 (sinh.f64 y) y) 3)))
	0.0b	(/.f64 (sinh.f64 y) y)
✓	0.0b	(pow.f64 (/.f64 (sinh.f64 y) y) 3)
✓	0.2b	(cbrt.f64 (pow.f64 (/.f64 (sinh.f64 y) y) 3))

series120.0ms (2.1%)

Counts

3 → 48

Calls

3 calls:

59.0ms	(*.f64 (sin.f64 x) (cbrt.f64 (pow.f64 (/.f64 (sinh.f64 y) y) 3)))
33.0ms	(cbrt.f64 (pow.f64 (/.f64 (sinh.f64 y) y) 3))
28.0ms	(pow.f64 (/.f64 (sinh.f64 y) y) 3)

rewrite50.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

469×	`log-prod_binary64`
245×	`pow2_binary64`
188×	`pow-unpow_binary64`
169×	`expm1-udef_binary64`
169×	`log1p-udef_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	26
1	209	26
2	2492	26

Stop Event

1×	node limit

Counts

3 → 115

Calls

3 calls:

48.0ms	(*.f64 (sin.f64 x) (cbrt.f64 (pow.f64 (/.f64 (sinh.f64 y) y) 3)))
48.0ms	(pow.f64 (/.f64 (sinh.f64 y) y) 3)
48.0ms	(cbrt.f64 (pow.f64 (/.f64 (sinh.f64 y) y) 3))

simplify35.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

479×	`fma-def_binary64`
429×	`times-frac_binary64`
407×	`associate-/l*_binary64`
348×	`associate-l_binary64`
332×	`associate-r_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	139	1231
1	437	1179
2	1431	1133

Stop Event

1×	node limit

Counts

163 → 158

prune114.0ms (2%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	201	0	201
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	201	3	204

Error

Counts

204 → 3

Alt Table

Status	Error	Program
✓	0.1b	(*.f64 (sinh.f64 y) (/.f64 (sin.f64 x) y))
✓	0.3b	(*.f64 (sin.f64 x) (cbrt.f64 (pow.f64 (/.f64 (sinh.f64 y) y) 3)))
▶	0.9b	(.f64 (sin.f64 x) (fma.f64 1/120 (pow.f64 y 4) (fma.f64 1/6 (.f64 y y) 1)))

Compiler

Compiled 3140 to 1523 computations (51.5% saved)

localize9.0ms (0.2%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(fma.f64 1/6 (*.f64 y y) 1)
✓	0.0b	(.f64 (sin.f64 x) (fma.f64 1/120 (pow.f64 y 4) (fma.f64 1/6 (.f64 y y) 1)))

series30.0ms (0.5%)

Counts

2 → 36

Calls

2 calls:

26.0ms	(.f64 (sin.f64 x) (fma.f64 1/120 (pow.f64 y 4) (fma.f64 1/6 (.f64 y y) 1)))
4.0ms	(fma.f64 1/6 (*.f64 y y) 1)

rewrite42.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

479×	`log-prod_binary64`
204×	`expm1-udef_binary64`
204×	`log1p-udef_binary64`
203×	`pow1/3_binary64`
187×	`pow3_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	28
1	258	28
2	2734	28

Stop Event

1×	node limit

Counts

2 → 50

Calls

2 calls:

41.0ms	(fma.f64 1/6 (*.f64 y y) 1)
41.0ms	(.f64 (sin.f64 x) (fma.f64 1/120 (pow.f64 y 4) (fma.f64 1/6 (.f64 y y) 1)))

simplify26.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

604×	`fma-def_binary64`
373×	`associate-+l+_binary64`
371×	`cancel-sign-sub-inv_binary64`
362×	`associate-l_binary64`
354×	`associate--l+_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	73	792
1	217	739
2	879	675

Stop Event

1×	node limit

Counts

86 → 72

prune59.0ms (1.1%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	72	0	72
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	72	3	75

Error

Counts

75 → 3

Alt Table

Status	Error	Program
✓	0.1b	(*.f64 (sinh.f64 y) (/.f64 (sin.f64 x) y))
✓	0.3b	(*.f64 (sin.f64 x) (cbrt.f64 (pow.f64 (/.f64 (sinh.f64 y) y) 3)))
✓	0.9b	(.f64 (sin.f64 x) (fma.f64 1/120 (pow.f64 y 4) (fma.f64 1/6 (.f64 y y) 1)))

Compiler

Compiled 1580 to 1054 computations (33.3% saved)

regimes376.0ms (6.7%)

Accuracy

Total 0.0b remaining (20.1%)

Threshold costs 0.0b (20.1%)

Counts

89 → 1

Compiler

Compiled 5314 to 3879 computations (27% saved)

simplify2.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	11

Stop Event

1×

saturated

end54.0ms (0.9%)

Compiler: Compiled 55 to 39 computations (29.1% saved)

Details

analyze485.0ms (8.6%)

sample3.8s (67%)

simplify18.0ms (0.3%)

prune3.0ms (0%)

localize5.0ms (0.1%)

series50.0ms (0.9%)

rewrite45.0ms (0.8%)

simplify47.0ms (0.8%)

prune87.0ms (1.5%)

localize5.0ms (0.1%)

series39.0ms (0.7%)

rewrite42.0ms (0.7%)

simplify43.0ms (0.8%)

prune69.0ms (1.2%)

localize8.0ms (0.1%)

series120.0ms (2.1%)

rewrite50.0ms (0.9%)

simplify35.0ms (0.6%)

prune114.0ms (2%)

localize9.0ms (0.2%)

series30.0ms (0.5%)

rewrite42.0ms (0.7%)

simplify26.0ms (0.5%)

prune59.0ms (1.1%)

regimes376.0ms (6.7%)

simplify2.0ms (0%)

end54.0ms (0.9%)

Profiling