Details

analyze613.0ms (7.2%)

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 (52.5%)

Results

1.2s	2044×	body	1024	valid
1.1s	1976×	body	1024	invalid
748.0ms	4608×	body	128	valid
434.0ms	1040×	body	512	valid
406.0ms	971×	body	512	invalid
160.0ms	554×	body	256	valid
125.0ms	478×	body	256	invalid
107.0ms	717×	body	128	invalid
13.0ms	10×	body	2048	valid

Compiler

Compiled 29 to 20 computations (31% saved)

simplify90.0ms (1.1%)

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)

series36.0ms (0.4%)

Counts

3 → 32

Calls

3 calls:

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

rewrite12.0ms (0.1%)

Algorithm

1×	rewrite-expression-head

Rules

24×	`add-sqr-sqrt_binary64`
19×	`*-un-lft-identity_binary64`
19×	`times-frac_binary64`
19×	`add-cube-cbrt_binary64`
13×	`associate-r_binary64`

Counts

3 → 74

Calls

3 calls:

5.0ms	(*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y))
2.0ms	(/.f64 (sin.f64 y) y)
1.0ms	(sin.f64 y)

simplify96.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

424×	`associate-l_binary64`
390×	`associate-*l/_binary64`
354×	`associate-*r/_binary64`
345×	`fma-def_binary64`
338×	`associate-/l*_binary64`

Counts

106 → 135

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	189	1789
1	468	1652
2	1485	1630
3	4437	1629
4	4841	1629
5	4955	1629

prune112.0ms (1.3%)

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	128	7	135
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	129	7	136

Error

0.0b

Counts

136 → 7

Alt Table

Status	Error	Program
	0.2b	(*.f64 (cosh.f64 x) (/.f64 1 (/.f64 y (sin.f64 y))))
	0.7b	(.f64 (cosh.f64 x) (.f64 (*.f64 (cbrt.f64 (/.f64 (sin.f64 y) y)) (cbrt.f64 (/.f64 (sin.f64 y) y))) (cbrt.f64 (/.f64 (sin.f64 y) y))))
	43.7b	(.f64 (cosh.f64 x) (cbrt.f64 (/.f64 (.f64 (.f64 (sin.f64 y) (sin.f64 y)) (sin.f64 y)) (.f64 (*.f64 y y) y))))
	0.2b	(*.f64 (cosh.f64 x) (/.f64 (log1p.f64 (expm1.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)
	29.6b	(*.f64 (cosh.f64 x) (/.f64 (sqrt.f64 (sin.f64 y)) (/.f64 y (sqrt.f64 (sin.f64 y)))))
	1.4b	(.f64 (cosh.f64 x) (/.f64 (.f64 (cbrt.f64 (sin.f64 y)) (cbrt.f64 (sin.f64 y))) (/.f64 y (cbrt.f64 (sin.f64 y)))))

Compiler

Compiled 2310 to 815 computations (64.7% saved)

localize10.0ms (0.1%)

Local error

Found 4 expressions with local error:

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

series88.0ms (1%)

Counts

4 → 32

Calls

4 calls:

38.0ms	(/.f64 (+.f64 (.f64 1/2 (.f64 (sin.f64 y) (exp.f64 x))) (*.f64 1/2 (/.f64 (sin.f64 y) (exp.f64 x)))) y)
27.0ms	(+.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))
7.0ms	(*.f64 (sin.f64 y) (exp.f64 x))

rewrite24.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

25×	`add-sqr-sqrt_binary64`
23×	`*-un-lft-identity_binary64`
23×	`add-cube-cbrt_binary64`
21×	`times-frac_binary64`
10×	`add-cbrt-cube_binary64`

Counts

4 → 99

Calls

4 calls:

6.0ms	(/.f64 (+.f64 (.f64 1/2 (.f64 (sin.f64 y) (exp.f64 x))) (*.f64 1/2 (/.f64 (sin.f64 y) (exp.f64 x)))) y)
6.0ms	(+.f64 (.f64 1/2 (.f64 (sin.f64 y) (exp.f64 x))) (*.f64 1/2 (/.f64 (sin.f64 y) (exp.f64 x))))
4.0ms	(*.f64 (sin.f64 y) (exp.f64 x))
3.0ms	(/.f64 (sin.f64 y) (exp.f64 x))

simplify112.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

474×	`fma-neg_binary64`
458×	`cancel-sign-sub-inv_binary64`
313×	`times-frac_binary64`
218×	`fma-def_binary64`
180×	`associate-r_binary64`

Counts

131 → 206

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	277	3325
1	764	3065
2	2554	3028
3	4497	3021
4	5002	3021

prune190.0ms (2.2%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	205	1	206
Fresh	1	5	6
Picked	0	1	1
Done	0	0	0
Total	206	7	213

Error

0.0b

Counts

213 → 7

Alt Table

Status	Error	Program
▶	0.2b	(/.f64 1/2 (/.f64 y (+.f64 (*.f64 (sin.f64 y) (exp.f64 x)) (/.f64 (sin.f64 y) (exp.f64 x)))))
	43.7b	(.f64 (cosh.f64 x) (cbrt.f64 (/.f64 (.f64 (.f64 (sin.f64 y) (sin.f64 y)) (sin.f64 y)) (.f64 (*.f64 y y) y))))
	0.7b	(.f64 (cosh.f64 x) (.f64 (*.f64 (cbrt.f64 (/.f64 (sin.f64 y) y)) (cbrt.f64 (/.f64 (sin.f64 y) y))) (cbrt.f64 (/.f64 (sin.f64 y) y))))
	0.2b	(*.f64 (cosh.f64 x) (/.f64 (log1p.f64 (expm1.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)
	29.6b	(*.f64 (cosh.f64 x) (/.f64 (sqrt.f64 (sin.f64 y)) (/.f64 y (sqrt.f64 (sin.f64 y)))))
	1.4b	(.f64 (cosh.f64 x) (/.f64 (.f64 (cbrt.f64 (sin.f64 y)) (cbrt.f64 (sin.f64 y))) (/.f64 y (cbrt.f64 (sin.f64 y)))))

Compiler

Compiled 5821 to 2391 computations (58.9% saved)

localize11.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 (*.f64 (sin.f64 y) (exp.f64 x)) (/.f64 (sin.f64 y) (exp.f64 x)))
	0.0b	(*.f64 (sin.f64 y) (exp.f64 x))
✓	0.1b	(/.f64 1/2 (/.f64 y (+.f64 (*.f64 (sin.f64 y) (exp.f64 x)) (/.f64 (sin.f64 y) (exp.f64 x)))))
✓	0.2b	(/.f64 y (+.f64 (*.f64 (sin.f64 y) (exp.f64 x)) (/.f64 (sin.f64 y) (exp.f64 x))))

series144.0ms (1.7%)

Counts

3 → 40

Calls

3 calls:

86.0ms

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

36.0ms

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

22.0ms

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

rewrite40.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Rules

114×	`times-frac_binary64`
63×	`*-un-lft-identity_binary64`
63×	`add-sqr-sqrt_binary64`
63×	`add-cube-cbrt_binary64`
23×	`div-inv_binary64`

Counts

3 → 142

Calls

3 calls:

11.0ms

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

7.0ms

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

6.0ms

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

simplify153.0ms (1.8%)

Algorithm

1×	egg-herbie

Rules

378×	`cancel-sign-sub-inv_binary64`
240×	`fma-def_binary64`
230×	`*-commutative_binary64`
205×	`associate-/r/_binary64`
192×	`associate-*l/_binary64`

Counts

182 → 305

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	433	7065
1	1137	6764
2	4205	6756
3	5080	6756

prune270.0ms (3.2%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	348	1	349
Fresh	1	4	5
Picked	1	0	1
Done	0	1	1
Total	350	6	356

Error

Counts

356 → 6

Alt Table

Status	Error	Program
	43.7b	(.f64 (cosh.f64 x) (cbrt.f64 (/.f64 (.f64 (.f64 (sin.f64 y) (sin.f64 y)) (sin.f64 y)) (.f64 (*.f64 y y) y))))
	0.7b	(.f64 (cosh.f64 x) (.f64 (*.f64 (cbrt.f64 (/.f64 (sin.f64 y) y)) (cbrt.f64 (/.f64 (sin.f64 y) y))) (cbrt.f64 (/.f64 (sin.f64 y) y))))
▶	0.3b	(/.f64 (/.f64 1/2 y) (/.f64 1 (+.f64 (*.f64 (sin.f64 y) (exp.f64 x)) (/.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)
	29.6b	(*.f64 (cosh.f64 x) (/.f64 (sqrt.f64 (sin.f64 y)) (/.f64 y (sqrt.f64 (sin.f64 y)))))
	1.4b	(.f64 (cosh.f64 x) (/.f64 (.f64 (cbrt.f64 (sin.f64 y)) (cbrt.f64 (sin.f64 y))) (/.f64 y (cbrt.f64 (sin.f64 y)))))

Compiler

Compiled 10919 to 3307 computations (69.7% saved)

localize11.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.0b	(+.f64 (*.f64 (sin.f64 y) (exp.f64 x)) (/.f64 (sin.f64 y) (exp.f64 x)))
	0.0b	(*.f64 (sin.f64 y) (exp.f64 x))
✓	0.1b	(/.f64 1 (+.f64 (*.f64 (sin.f64 y) (exp.f64 x)) (/.f64 (sin.f64 y) (exp.f64 x))))
✓	0.2b	(/.f64 (/.f64 1/2 y) (/.f64 1 (+.f64 (*.f64 (sin.f64 y) (exp.f64 x)) (/.f64 (sin.f64 y) (exp.f64 x)))))

series111.0ms (1.3%)

Counts

2 → 32

Calls

2 calls:

77.0ms	(/.f64 1 (+.f64 (*.f64 (sin.f64 y) (exp.f64 x)) (/.f64 (sin.f64 y) (exp.f64 x))))
33.0ms	(/.f64 (/.f64 1/2 y) (/.f64 1 (+.f64 (*.f64 (sin.f64 y) (exp.f64 x)) (/.f64 (sin.f64 y) (exp.f64 x)))))

rewrite82.0ms (1%)

Algorithm

1×	rewrite-expression-head

Rules

585×	`times-frac_binary64`
256×	`*-un-lft-identity_binary64`
256×	`add-sqr-sqrt_binary64`
256×	`add-cube-cbrt_binary64`
81×	`div-inv_binary64`

Counts

2 → 330

Calls

2 calls:

14.0ms	(/.f64 (/.f64 1/2 y) (/.f64 1 (+.f64 (*.f64 (sin.f64 y) (exp.f64 x)) (/.f64 (sin.f64 y) (exp.f64 x)))))
8.0ms	(/.f64 1 (+.f64 (*.f64 (sin.f64 y) (exp.f64 x)) (/.f64 (sin.f64 y) (exp.f64 x))))

simplify327.0ms (3.9%)

Algorithm

1×	egg-herbie

Rules

373×	`associate-/l/_binary64`
289×	`associate-/r*_binary64`
286×	`associate-*l/_binary64`
235×	`associate-r_binary64`
234×	`associate-/r/_binary64`

Counts

362 → 501

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	498	16703
1	1374	15858
2	4876	15857
3	4956	15857

prune407.0ms (4.8%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	585	0	585
Fresh	0	4	4
Picked	0	1	1
Done	0	1	1
Total	585	6	591

Error

Counts

591 → 6

Alt Table

Status	Error	Program
	43.7b	(.f64 (cosh.f64 x) (cbrt.f64 (/.f64 (.f64 (.f64 (sin.f64 y) (sin.f64 y)) (sin.f64 y)) (.f64 (*.f64 y y) y))))
	0.7b	(.f64 (cosh.f64 x) (.f64 (*.f64 (cbrt.f64 (/.f64 (sin.f64 y) y)) (cbrt.f64 (/.f64 (sin.f64 y) y))) (cbrt.f64 (/.f64 (sin.f64 y) y))))
✓	0.3b	(/.f64 (/.f64 1/2 y) (/.f64 1 (+.f64 (*.f64 (sin.f64 y) (exp.f64 x)) (/.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)
	29.6b	(*.f64 (cosh.f64 x) (/.f64 (sqrt.f64 (sin.f64 y)) (/.f64 y (sqrt.f64 (sin.f64 y)))))
	1.4b	(.f64 (cosh.f64 x) (/.f64 (.f64 (cbrt.f64 (sin.f64 y)) (cbrt.f64 (sin.f64 y))) (/.f64 y (cbrt.f64 (sin.f64 y)))))

Compiler

Compiled 21089 to 7965 computations (62.2% saved)

regimes987.0ms (11.7%)

Accuracy

Total 0.1b remaining (52%)

Threshold costs 0.1b (52%)

Counts

201 → 1

Compiler

Compiled 17796 to 11418 computations (35.8% saved)

simplify2.0ms (0%)

Algorithm

1×	egg-herbie

Rules

2×	`*-commutative_binary64`
1×	`+-commutative_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	24
1	14	24
2	14	24

end83.0ms (1%)

Compiler: Compiled 146 to 81 computations (44.5% saved)

Details

analyze613.0ms (7.2%)

sample4.4s (52.5%)

simplify90.0ms (1.1%)

prune2.0ms (0%)

localize6.0ms (0.1%)

series36.0ms (0.4%)

rewrite12.0ms (0.1%)

simplify96.0ms (1.1%)

prune112.0ms (1.3%)

localize10.0ms (0.1%)

series88.0ms (1%)

rewrite24.0ms (0.3%)

simplify112.0ms (1.3%)

prune190.0ms (2.2%)

localize11.0ms (0.1%)

series144.0ms (1.7%)

rewrite40.0ms (0.5%)

simplify153.0ms (1.8%)

prune270.0ms (3.2%)

localize11.0ms (0.1%)

series111.0ms (1.3%)

rewrite82.0ms (1%)

simplify327.0ms (3.9%)

prune407.0ms (4.8%)

regimes987.0ms (11.7%)

simplify2.0ms (0%)

end83.0ms (1%)

Profiling