Details

analyze478.0ms (6.7%)

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)

sample3.9s (54.6%)

Results

1.1s	2132×	body	1024	valid
1.0s	2050×	body	1024	invalid
607.0ms	4567×	body	128	valid
334.0ms	984×	body	512	invalid
328.0ms	1023×	body	512	valid
145.0ms	528×	body	256	invalid
140.0ms	527×	body	256	valid
89.0ms	681×	body	128	invalid
9.0ms	7×	body	2048	valid

Compiler

Compiled 29 to 20 computations (31% saved)

simplify93.0ms (1.3%)

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

prune1.0ms (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)

series33.0ms (0.5%)

Counts

2 → 28

Calls

2 calls:

30.0ms	(*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y))
3.0ms	(/.f64 (sin.f64 y) y)

rewrite10.0ms (0.1%)

Algorithm

1×	rewrite-expression-head

Rules

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

Counts

2 → 65

Calls

2 calls:

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

simplify116.0ms (1.6%)

Algorithm

1×	egg-herbie

Rules

383×	`associate-*l/_binary64`
364×	`associate-l_binary64`
347×	`associate-*r/_binary64`
318×	`associate-/l*_binary64`
316×	`associate-r_binary64`

Counts

93 → 118

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	172	1673
1	422	1547
2	1344	1529
3	4419	1528
4	4958	1528
5	4996	1528
6	4961	1528

prune94.0ms (1.3%)

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	111	7	118
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	112	7	119

Error

0.0b

Counts

119 → 7

Alt Table

Status	Error	Program
▶	0.1b	(*.f64 (/.f64 (sin.f64 y) y) (cosh.f64 x))
	0.4b	(*.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))))
	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)
	1.4b	(.f64 (.f64 (*.f64 (cbrt.f64 (sin.f64 y)) (cbrt.f64 (sin.f64 y))) (cosh.f64 x)) (/.f64 (cbrt.f64 (sin.f64 y)) y))
	30.7b	(.f64 (cosh.f64 x) (.f64 (sqrt.f64 (sin.f64 y)) (/.f64 (sqrt.f64 (sin.f64 y)) y)))
	13.2b	(.f64 (cosh.f64 x) (.f64 (sqrt.f64 (/.f64 (sin.f64 y) y)) (sqrt.f64 (/.f64 (sin.f64 y) y))))

Compiler

Compiled 2083 to 699 computations (66.4% saved)

localize5.0ms (0.1%)

Local error

Found 2 expressions with local error:

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

series30.0ms (0.4%)

Counts

1 → 24

Calls

1 calls:

30.0ms

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

rewrite7.0ms (0.1%)

Algorithm

1×	rewrite-expression-head

Rules

14×	`add-sqr-sqrt_binary64`
13×	`associate-l_binary64`
10×	`times-frac_binary64`
9×	`*-un-lft-identity_binary64`
9×	`add-cube-cbrt_binary64`

Counts

1 → 36

Calls

1 calls:

5.0ms

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

simplify92.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

441×	`fma-neg_binary64`
352×	`associate-l_binary64`
297×	`associate-r_binary64`
292×	`associate-*l/_binary64`
278×	`sub-neg_binary64`

Counts

60 → 66

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	142	1287
1	369	1140
2	1079	1126
3	4005	1125
4	4818	1125
5	4999	1125
6	4961	1125

prune73.0ms (1%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	104	0	104
Fresh	0	6	6
Picked	0	1	1
Done	0	0	0
Total	104	7	111

Error

0.0b

Counts

111 → 7

Alt Table

Status	Error	Program
✓	0.1b	(*.f64 (/.f64 (sin.f64 y) y) (cosh.f64 x))
	0.4b	(*.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))))
▶	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)
	1.4b	(.f64 (.f64 (*.f64 (cbrt.f64 (sin.f64 y)) (cbrt.f64 (sin.f64 y))) (cosh.f64 x)) (/.f64 (cbrt.f64 (sin.f64 y)) y))
	30.7b	(.f64 (cosh.f64 x) (.f64 (sqrt.f64 (sin.f64 y)) (/.f64 (sqrt.f64 (sin.f64 y)) y)))
	13.2b	(.f64 (cosh.f64 x) (.f64 (sqrt.f64 (/.f64 (sin.f64 y) y)) (sqrt.f64 (/.f64 (sin.f64 y) y))))

Compiler

Compiled 1903 to 669 computations (64.8% 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)

series82.0ms (1.2%)

Counts

4 → 32

Calls

4 calls:

37.0ms	(/.f64 (+.f64 (.f64 1/2 (.f64 (sin.f64 y) (exp.f64 x))) (*.f64 1/2 (/.f64 (sin.f64 y) (exp.f64 x)))) y)
25.0ms	(+.f64 (.f64 1/2 (.f64 (sin.f64 y) (exp.f64 x))) (*.f64 1/2 (/.f64 (sin.f64 y) (exp.f64 x))))
13.0ms	(/.f64 (sin.f64 y) (exp.f64 x))
7.0ms	(*.f64 (sin.f64 y) (exp.f64 x))

rewrite23.0ms (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)
5.0ms	(+.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))

simplify132.0ms (1.8%)

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 → 207

Iterations

Useful iterations: 3 (0.0ms)

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

prune184.0ms (2.6%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	204	3	207
Fresh	3	2	5
Picked	1	0	1
Done	0	1	1
Total	208	6	214

Error

0.0b

Counts

214 → 6

Alt Table

Status	Error	Program
▶	0.2b	(/.f64 (+.f64 (.f64 1/2 (.f64 (sin.f64 y) (exp.f64 x))) (*.f64 1/2 (/.f64 1 (/.f64 (exp.f64 x) (sin.f64 y))))) y)
	21.0b	(/.f64 (+.f64 (pow.f64 (.f64 1/2 (.f64 (sin.f64 y) (exp.f64 x))) 3) (pow.f64 (.f64 1/2 (/.f64 (sin.f64 y) (exp.f64 x))) 3)) (.f64 y (+.f64 (.f64 (.f64 1/2 (.f64 (sin.f64 y) (exp.f64 x))) (.f64 1/2 (.f64 (sin.f64 y) (exp.f64 x)))) (-.f64 (.f64 (.f64 1/2 (/.f64 (sin.f64 y) (exp.f64 x))) (.f64 1/2 (/.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))))))))
✓	0.1b	(*.f64 (/.f64 (sin.f64 y) y) (cosh.f64 x))
	30.7b	(.f64 (cosh.f64 x) (.f64 (sqrt.f64 (sin.f64 y)) (/.f64 (sqrt.f64 (sin.f64 y)) y)))
	20.9b	(/.f64 (/.f64 (.f64 1/8 (+.f64 (pow.f64 (.f64 (exp.f64 x) (sin.f64 y)) 3) (pow.f64 (/.f64 (sin.f64 y) (exp.f64 x)) 3))) (fma.f64 1/4 (.f64 (.f64 (sin.f64 y) (sin.f64 y)) (pow.f64 (exp.f64 2) x)) (.f64 (.f64 (/.f64 (sin.f64 y) (exp.f64 x)) 1/4) (-.f64 (/.f64 (sin.f64 y) (exp.f64 x)) (*.f64 (exp.f64 x) (sin.f64 y)))))) y)
	13.2b	(.f64 (cosh.f64 x) (.f64 (sqrt.f64 (/.f64 (sin.f64 y) y)) (sqrt.f64 (/.f64 (sin.f64 y) y))))

Compiler

Compiled 5984 to 2461 computations (58.9% saved)

localize11.0ms (0.1%)

Local error

Found 4 expressions with local error:

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

series66.0ms (0.9%)

Counts

3 → 56

Calls

3 calls:

39.0ms	(/.f64 (+.f64 (.f64 1/2 (.f64 (sin.f64 y) (exp.f64 x))) (*.f64 1/2 (/.f64 1 (/.f64 (exp.f64 x) (sin.f64 y))))) y)
14.0ms	(/.f64 (exp.f64 x) (sin.f64 y))
13.0ms	(/.f64 1 (/.f64 (exp.f64 x) (sin.f64 y)))

rewrite23.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

96×	`times-frac_binary64`
62×	`*-un-lft-identity_binary64`
62×	`add-sqr-sqrt_binary64`
62×	`add-cube-cbrt_binary64`
19×	`associate-/r*_binary64`

Counts

3 → 142

Calls

3 calls:

7.0ms	(/.f64 (+.f64 (.f64 1/2 (.f64 (sin.f64 y) (exp.f64 x))) (*.f64 1/2 (/.f64 1 (/.f64 (exp.f64 x) (sin.f64 y))))) y)
5.0ms	(/.f64 1 (/.f64 (exp.f64 x) (sin.f64 y)))
3.0ms	(/.f64 (exp.f64 x) (sin.f64 y))

simplify142.0ms (2%)

Algorithm

1×	egg-herbie

Rules

744×	`fma-def_binary64`
415×	`times-frac_binary64`
411×	`fma-neg_binary64`
299×	`cancel-sign-sub-inv_binary64`
173×	`associate-/l/_binary64`

Counts

198 → 248

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	277	4437
1	686	3917
2	2102	3779
3	4574	3776
4	4956	3776

prune259.0ms (3.6%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	291	1	292
Fresh	0	4	4
Picked	1	0	1
Done	0	1	1
Total	292	6	298

Error

0.0b

Counts

298 → 6

Alt Table

Status	Error	Program
✓	0.1b	(*.f64 (/.f64 (sin.f64 y) y) (cosh.f64 x))
	17.2b	(/.f64 (+.f64 (.f64 1/2 (.f64 (sin.f64 y) (exp.f64 x))) (.f64 1/2 (/.f64 1 (cbrt.f64 (.f64 (*.f64 (/.f64 (exp.f64 x) (sin.f64 y)) (/.f64 (exp.f64 x) (sin.f64 y))) (/.f64 (exp.f64 x) (sin.f64 y))))))) y)
	30.7b	(.f64 (cosh.f64 x) (.f64 (sqrt.f64 (sin.f64 y)) (/.f64 (sqrt.f64 (sin.f64 y)) y)))
	21.0b	(/.f64 (+.f64 (pow.f64 (.f64 1/2 (.f64 (sin.f64 y) (exp.f64 x))) 3) (pow.f64 (.f64 1/2 (/.f64 (sin.f64 y) (exp.f64 x))) 3)) (.f64 y (+.f64 (.f64 (.f64 1/2 (.f64 (sin.f64 y) (exp.f64 x))) (.f64 1/2 (.f64 (sin.f64 y) (exp.f64 x)))) (-.f64 (.f64 (.f64 1/2 (/.f64 (sin.f64 y) (exp.f64 x))) (.f64 1/2 (/.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))))))))
	20.9b	(/.f64 (/.f64 (.f64 1/8 (+.f64 (pow.f64 (.f64 (exp.f64 x) (sin.f64 y)) 3) (pow.f64 (/.f64 (sin.f64 y) (exp.f64 x)) 3))) (fma.f64 1/4 (.f64 (.f64 (sin.f64 y) (sin.f64 y)) (pow.f64 (exp.f64 2) x)) (.f64 (.f64 (/.f64 (sin.f64 y) (exp.f64 x)) 1/4) (-.f64 (/.f64 (sin.f64 y) (exp.f64 x)) (*.f64 (exp.f64 x) (sin.f64 y)))))) y)
	13.2b	(.f64 (cosh.f64 x) (.f64 (sqrt.f64 (/.f64 (sin.f64 y) y)) (sqrt.f64 (/.f64 (sin.f64 y) y))))

Compiler

Compiled 8395 to 3727 computations (55.6% saved)

regimes1.2s (16.4%)

Accuracy

Total 0.1b remaining (45.8%)

Threshold costs 0.1b (45.8%)

Counts

204 → 1

Compiler

Compiled 25419 to 15336 computations (39.7% saved)

simplify2.0ms (0%)

Algorithm

1×	egg-herbie

Rules

1×	`*-commutative_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	11
1	8	11
2	8	11

end101.0ms (1.4%)

Compiler: Compiled 215 to 111 computations (48.4% saved)

Details

analyze478.0ms (6.7%)

sample3.9s (54.6%)

simplify93.0ms (1.3%)

prune1.0ms (0%)

localize5.0ms (0.1%)

series33.0ms (0.5%)

rewrite10.0ms (0.1%)

simplify116.0ms (1.6%)

prune94.0ms (1.3%)

localize5.0ms (0.1%)

series30.0ms (0.4%)

rewrite7.0ms (0.1%)

simplify92.0ms (1.3%)

prune73.0ms (1%)

localize10.0ms (0.1%)

series82.0ms (1.2%)

rewrite23.0ms (0.3%)

simplify132.0ms (1.8%)

prune184.0ms (2.6%)

localize11.0ms (0.1%)

series66.0ms (0.9%)

rewrite23.0ms (0.3%)

simplify142.0ms (2%)

prune259.0ms (3.6%)

regimes1.2s (16.4%)

simplify2.0ms (0%)

end101.0ms (1.4%)

Profiling