Details

analyze1.1s (15.6%)

Algorithm

1×

Search

True	Other	False	Iter
0%	100%	0%	0
0%	100%	0%	1
0%	100%	0%	2
0%	100%	0%	3
37.5%	62.5%	0%	4
43.7%	56.2%	0%	5
46.9%	53.1%	0%	6
48.4%	51.5%	0%	7
49.2%	50.8%	0%	8
49.6%	50.4%	0%	9
49.8%	50.2%	0%	10
49.9%	50.1%	0%	11
49.9%	50%	0%	12
50%	50%	0%	13
50%	49.9%	0%	14

Compiler

Compiled 18 to 15 computations (16.7% saved)

sample3.5s (47.7%)

Results

1.9s	2086×	body	1024	valid
842.0ms	4595×	body	128	valid
516.0ms	1046×	body	512	valid
173.0ms	519×	body	256	valid
20.0ms	10×	body	2048	valid

Compiler

Compiled 53 to 44 computations (17% saved)

simplify7.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

10×	`*-commutative_binary64`
9×	`associate-/l*_binary64`
9×	`associate-/r/_binary64`
4×	`associate-r_binary64`
4×	`associate-l_binary64`

Counts

1 → 2

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	22
1	20	22
2	31	22
3	41	22
4	49	22
5	51	22
6	50	22

prune3.0ms (0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

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

Error

14.2b

Counts

3 → 1

Alt Table

Status	Error	Program
▶	14.2b	(/.f64 (.f64 (sin.f64 (.f64 x 1/2)) (.f64 8/3 (sin.f64 (.f64 x 1/2)))) (sin.f64 x))

Compiler

Compiled 61 to 48 computations (21.3% saved)

localize8.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.2b	(.f64 (sin.f64 (.f64 x 1/2)) (.f64 8/3 (sin.f64 (.f64 x 1/2))))
✓	0.3b	(.f64 8/3 (sin.f64 (.f64 x 1/2)))
✓	14.0b	(/.f64 (.f64 (sin.f64 (.f64 x 1/2)) (.f64 8/3 (sin.f64 (.f64 x 1/2)))) (sin.f64 x))

series24.0ms (0.3%)

Counts

3 → 36

Calls

3 calls:

16.0ms	(/.f64 (.f64 (sin.f64 (.f64 x 1/2)) (.f64 8/3 (sin.f64 (.f64 x 1/2)))) (sin.f64 x))
5.0ms	(.f64 (sin.f64 (.f64 x 1/2)) (.f64 8/3 (sin.f64 (.f64 x 1/2))))
2.0ms	(.f64 8/3 (sin.f64 (.f64 x 1/2)))

rewrite18.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Rules

19×	`add-cbrt-cube_binary64`
19×	`add-exp-log_binary64`
10×	`add-sqr-sqrt_binary64`
10×	`pow1_binary64`
8×	`*-un-lft-identity_binary64`

Counts

3 → 65

Calls

3 calls:

5.0ms	(/.f64 (.f64 (sin.f64 (.f64 x 1/2)) (.f64 8/3 (sin.f64 (.f64 x 1/2)))) (sin.f64 x))
4.0ms	(.f64 (sin.f64 (.f64 x 1/2)) (.f64 8/3 (sin.f64 (.f64 x 1/2))))
3.0ms	(.f64 8/3 (sin.f64 (.f64 x 1/2)))

simplify91.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

672×	`times-frac_binary64`
637×	`associate-/l*_binary64`
493×	`fma-def_binary64`
403×	`associate-l_binary64`
346×	`associate-r_binary64`

Counts

101 → 117

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	147	1967
1	346	1521
2	1037	1506
3	4124	1499
4	4937	1499
5	4946	1499

prune125.0ms (1.7%)

Pruning

15 alts after pruning (15 fresh and 0 done)

	Pruned	Kept	Total
New	102	15	117
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	103	15	118

Error

0.1b

Counts

118 → 15

Alt Table

Status	Error	Program
	14.3b	(/.f64 (.f64 (sqrt.f64 (.f64 8/3 (pow.f64 (sin.f64 (.f64 x 1/2)) 2))) (sqrt.f64 (.f64 8/3 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)))) (sin.f64 x))
	27.8b	(cbrt.f64 (/.f64 (.f64 (.f64 (.f64 (sin.f64 (.f64 x 1/2)) (.f64 8/3 (sin.f64 (.f64 x 1/2)))) (.f64 (sin.f64 (.f64 x 1/2)) (.f64 8/3 (sin.f64 (.f64 x 1/2))))) (.f64 (sin.f64 (.f64 x 1/2)) (.f64 8/3 (sin.f64 (.f64 x 1/2))))) (.f64 (.f64 (sin.f64 x) (sin.f64 x)) (sin.f64 x))))
	26.5b	(/.f64 (cbrt.f64 (.f64 (.f64 (.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 (.f64 x 1/2))) (sin.f64 (.f64 x 1/2))) (.f64 (.f64 (.f64 8/3 (sin.f64 (.f64 x 1/2))) (.f64 8/3 (sin.f64 (.f64 x 1/2)))) (.f64 8/3 (sin.f64 (.f64 x 1/2)))))) (sin.f64 x))
	14.8b	(.f64 (.f64 (cbrt.f64 (/.f64 (.f64 (sin.f64 (.f64 x 1/2)) (.f64 8/3 (sin.f64 (.f64 x 1/2)))) (sin.f64 x))) (cbrt.f64 (/.f64 (.f64 (sin.f64 (.f64 x 1/2)) (.f64 8/3 (sin.f64 (.f64 x 1/2)))) (sin.f64 x)))) (cbrt.f64 (/.f64 (.f64 (sin.f64 (.f64 x 1/2)) (.f64 8/3 (sin.f64 (.f64 x 1/2)))) (sin.f64 x))))
	14.1b	(/.f64 (.f64 (sin.f64 (.f64 x 1/2)) (.f64 (sqrt.f64 8/3) (.f64 (sqrt.f64 8/3) (sin.f64 (*.f64 x 1/2))))) (sin.f64 x))
	14.2b	(.f64 (.f64 (sin.f64 (.f64 x 1/2)) (.f64 8/3 (sin.f64 (*.f64 x 1/2)))) (/.f64 1 (sin.f64 x)))
	19.5b	(/.f64 (.f64 (sin.f64 (.f64 x 1/2)) (cbrt.f64 (.f64 (.f64 (.f64 8/3 8/3) 8/3) (.f64 (.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 (.f64 x 1/2))) (sin.f64 (.f64 x 1/2)))))) (sin.f64 x))
	33.6b	(.f64 (/.f64 (sin.f64 (.f64 x 1/2)) (sqrt.f64 (sin.f64 x))) (.f64 (/.f64 (sin.f64 (.f64 x 1/2)) (sqrt.f64 (sin.f64 x))) 8/3))
	38.0b	(.f64 (sqrt.f64 (.f64 8/3 (/.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (sin.f64 x)))) (sqrt.f64 (.f64 8/3 (/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (sin.f64 x)))))
	27.8b	(cbrt.f64 (/.f64 (.f64 (.f64 (.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 (.f64 x 1/2))) (sin.f64 (.f64 x 1/2))) (.f64 (.f64 (.f64 8/3 (sin.f64 (.f64 x 1/2))) (.f64 8/3 (sin.f64 (.f64 x 1/2)))) (.f64 8/3 (sin.f64 (.f64 x 1/2))))) (.f64 (.f64 (sin.f64 x) (sin.f64 x)) (sin.f64 x))))
	14.8b	(/.f64 (/.f64 (.f64 8/3 (pow.f64 (sin.f64 (.f64 x 1/2)) 2)) (*.f64 (cbrt.f64 (sin.f64 x)) (cbrt.f64 (sin.f64 x)))) (cbrt.f64 (sin.f64 x)))
	14.2b	(/.f64 1 (/.f64 (sin.f64 x) (.f64 (sin.f64 (.f64 x 1/2)) (.f64 8/3 (sin.f64 (.f64 x 1/2))))))
▶	0.5b	(.f64 (sin.f64 (.f64 x 1/2)) (/.f64 (.f64 8/3 (sin.f64 (.f64 x 1/2))) (sin.f64 x)))
	33.6b	(.f64 (/.f64 (sin.f64 (.f64 x 1/2)) (sqrt.f64 (sin.f64 x))) (/.f64 (.f64 8/3 (sin.f64 (.f64 x 1/2))) (sqrt.f64 (sin.f64 x))))
	1.3b	(.f64 (/.f64 (sin.f64 (.f64 x 1/2)) (.f64 (cbrt.f64 (sin.f64 x)) (cbrt.f64 (sin.f64 x)))) (/.f64 (.f64 8/3 (sin.f64 (*.f64 x 1/2))) (cbrt.f64 (sin.f64 x))))

Compiler

Compiled 3092 to 2306 computations (25.4% saved)

localize8.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.3b	(/.f64 (.f64 8/3 (sin.f64 (.f64 x 1/2))) (sin.f64 x))
✓	0.3b	(.f64 (sin.f64 (.f64 x 1/2)) (/.f64 (.f64 8/3 (sin.f64 (.f64 x 1/2))) (sin.f64 x)))
	0.3b	(.f64 8/3 (sin.f64 (.f64 x 1/2)))

series23.0ms (0.3%)

Counts

2 → 24

Calls

2 calls:

15.0ms	(.f64 (sin.f64 (.f64 x 1/2)) (/.f64 (.f64 8/3 (sin.f64 (.f64 x 1/2))) (sin.f64 x)))
8.0ms	(/.f64 (.f64 8/3 (sin.f64 (.f64 x 1/2))) (sin.f64 x))

rewrite14.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Rules

16×	`add-cbrt-cube_binary64`
16×	`add-exp-log_binary64`
9×	`add-sqr-sqrt_binary64`
7×	`associate-r_binary64`
7×	`*-un-lft-identity_binary64`

Counts

2 → 52

Calls

2 calls:

6.0ms	(.f64 (sin.f64 (.f64 x 1/2)) (/.f64 (.f64 8/3 (sin.f64 (.f64 x 1/2))) (sin.f64 x)))
4.0ms	(/.f64 (.f64 8/3 (sin.f64 (.f64 x 1/2))) (sin.f64 x))

simplify101.0ms (1.4%)

Algorithm

1×	egg-herbie

Rules

528×	`times-frac_binary64`
441×	`associate-/l*_binary64`
414×	`fma-def_binary64`
384×	`associate-*r/_binary64`
384×	`associate-*l/_binary64`

Counts

76 → 97

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	127	1666
1	296	1325
2	993	1323
3	3425	1316
4	3953	1316
5	4869	1316
6	4915	1316

prune158.0ms (2.2%)

Pruning

14 alts after pruning (14 fresh and 0 done)

	Pruned	Kept	Total
New	117	11	128
Fresh	11	3	14
Picked	1	0	1
Done	0	0	0
Total	129	14	143

Error

0.0b

Counts

143 → 14

Alt Table

Status	Error	Program
	1.5b	(.f64 (sin.f64 (.f64 x 1/2)) (/.f64 (.f64 (.f64 (cbrt.f64 8/3) (cbrt.f64 8/3)) (.f64 (sin.f64 (.f64 x 1/2)) (cbrt.f64 8/3))) (sin.f64 x)))
	1.4b	(.f64 (.f64 (cbrt.f64 (sin.f64 (.f64 x 1/2))) (cbrt.f64 (sin.f64 (.f64 x 1/2)))) (.f64 (cbrt.f64 (sin.f64 (.f64 x 1/2))) (/.f64 (.f64 8/3 (sin.f64 (.f64 x 1/2))) (sin.f64 x))))
	0.5b	(.f64 (sin.f64 (.f64 x 1/2)) (/.f64 (.f64 (sqrt.f64 8/3) (.f64 (sin.f64 (*.f64 x 1/2)) (sqrt.f64 8/3))) (sin.f64 x)))
	14.3b	(/.f64 (.f64 (sqrt.f64 (.f64 8/3 (pow.f64 (sin.f64 (.f64 x 1/2)) 2))) (sqrt.f64 (.f64 8/3 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)))) (sin.f64 x))
	0.7b	(.f64 (sin.f64 (.f64 x 1/2)) (cbrt.f64 (.f64 (.f64 (/.f64 (.f64 8/3 (sin.f64 (.f64 x 1/2))) (sin.f64 x)) (/.f64 (.f64 8/3 (sin.f64 (.f64 x 1/2))) (sin.f64 x))) (/.f64 (.f64 8/3 (sin.f64 (.f64 x 1/2))) (sin.f64 x)))))
▶	0.5b	(.f64 (.f64 8/3 (sin.f64 (.f64 x 1/2))) (/.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 x)))
	0.8b	(.f64 (.f64 (sin.f64 (.f64 x 1/2)) (.f64 (cbrt.f64 (.f64 8/3 (/.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 x)))) (cbrt.f64 (.f64 8/3 (/.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 x)))))) (cbrt.f64 (/.f64 (.f64 8/3 (sin.f64 (.f64 x 1/2))) (sin.f64 x))))
	33.6b	(.f64 (/.f64 (sin.f64 (.f64 x 1/2)) (sqrt.f64 (sin.f64 x))) (/.f64 (.f64 8/3 (sin.f64 (.f64 x 1/2))) (sqrt.f64 (sin.f64 x))))
	19.5b	(.f64 (sin.f64 (.f64 x 1/2)) (/.f64 (cbrt.f64 (.f64 (.f64 (.f64 8/3 8/3) 8/3) (.f64 (.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 (.f64 x 1/2))) (sin.f64 (.f64 x 1/2))))) (sin.f64 x)))
	36.3b	(.f64 (sqrt.f64 (sin.f64 (.f64 x 1/2))) (.f64 (sqrt.f64 (sin.f64 (.f64 x 1/2))) (/.f64 (.f64 8/3 (sin.f64 (.f64 x 1/2))) (sin.f64 x))))
	14.8b	(/.f64 (/.f64 (.f64 8/3 (pow.f64 (sin.f64 (.f64 x 1/2)) 2)) (*.f64 (cbrt.f64 (sin.f64 x)) (cbrt.f64 (sin.f64 x)))) (cbrt.f64 (sin.f64 x)))
	20.7b	(.f64 (sin.f64 (.f64 x 1/2)) (cbrt.f64 (/.f64 (.f64 (.f64 (.f64 8/3 (sin.f64 (.f64 x 1/2))) (.f64 8/3 (sin.f64 (.f64 x 1/2)))) (.f64 8/3 (sin.f64 (.f64 x 1/2)))) (.f64 (.f64 (sin.f64 x) (sin.f64 x)) (sin.f64 x)))))
	33.6b	(.f64 (.f64 (sin.f64 (.f64 x 1/2)) (/.f64 8/3 (sqrt.f64 (sin.f64 x)))) (/.f64 (sin.f64 (.f64 x 1/2)) (sqrt.f64 (sin.f64 x))))
	0.6b	(.f64 (sin.f64 (.f64 x 1/2)) (/.f64 1 (/.f64 (sin.f64 x) (.f64 8/3 (sin.f64 (.f64 x 1/2))))))

Compiler

Compiled 3254 to 2415 computations (25.8% saved)

localize8.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.1b	(/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x))
✓	0.2b	(.f64 (.f64 8/3 (sin.f64 (.f64 x 1/2))) (/.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 x)))
	0.3b	(.f64 8/3 (sin.f64 (.f64 x 1/2)))

series22.0ms (0.3%)

Counts

2 → 24

Calls

2 calls:

16.0ms	(.f64 (.f64 8/3 (sin.f64 (.f64 x 1/2))) (/.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 x)))
7.0ms	(/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x))

rewrite13.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Rules

18×	`times-frac_binary64`
17×	`*-un-lft-identity_binary64`
17×	`add-sqr-sqrt_binary64`
17×	`add-cube-cbrt_binary64`
16×	`add-cbrt-cube_binary64`

Counts

2 → 64

Calls

2 calls:

6.0ms	(.f64 (.f64 8/3 (sin.f64 (.f64 x 1/2))) (/.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 x)))
3.0ms	(/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x))

simplify105.0ms (1.4%)

Algorithm

1×	egg-herbie

Rules

605×	`fma-neg_binary64`
400×	`associate-/l*_binary64`
383×	`associate-*l/_binary64`
341×	`associate-*r/_binary64`
332×	`fma-def_binary64`

Counts

88 → 99

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	139	1790
1	327	1590
2	1104	1588
3	2981	1567
4	3547	1567
5	4742	1567
6	5220	1567

prune134.0ms (1.8%)

Pruning

11 alts after pruning (11 fresh and 0 done)

	Pruned	Kept	Total
New	128	2	130
Fresh	4	9	13
Picked	1	0	1
Done	0	0	0
Total	133	11	144

Error

Counts

144 → 11

Alt Table

Status	Error	Program
	1.1b	(.f64 (.f64 8/3 (sin.f64 (.f64 x 1/2))) (.f64 (.f64 (cbrt.f64 (/.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 x))) (cbrt.f64 (/.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 x)))) (cbrt.f64 (/.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 x)))))
	36.3b	(.f64 (sqrt.f64 (sin.f64 (.f64 x 1/2))) (.f64 (sqrt.f64 (sin.f64 (.f64 x 1/2))) (/.f64 (.f64 8/3 (sin.f64 (.f64 x 1/2))) (sin.f64 x))))
	19.5b	(.f64 (sin.f64 (.f64 x 1/2)) (/.f64 (cbrt.f64 (.f64 (.f64 (.f64 8/3 8/3) 8/3) (.f64 (.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 (.f64 x 1/2))) (sin.f64 (.f64 x 1/2))))) (sin.f64 x)))
	1.5b	(.f64 (sin.f64 (.f64 x 1/2)) (/.f64 (.f64 (.f64 (cbrt.f64 8/3) (cbrt.f64 8/3)) (.f64 (sin.f64 (.f64 x 1/2)) (cbrt.f64 8/3))) (sin.f64 x)))
	14.3b	(/.f64 (.f64 (sqrt.f64 (.f64 8/3 (pow.f64 (sin.f64 (.f64 x 1/2)) 2))) (sqrt.f64 (.f64 8/3 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)))) (sin.f64 x))
	14.8b	(/.f64 (/.f64 (.f64 8/3 (pow.f64 (sin.f64 (.f64 x 1/2)) 2)) (*.f64 (cbrt.f64 (sin.f64 x)) (cbrt.f64 (sin.f64 x)))) (cbrt.f64 (sin.f64 x)))
	20.7b	(.f64 (sin.f64 (.f64 x 1/2)) (cbrt.f64 (/.f64 (.f64 (.f64 (.f64 8/3 (sin.f64 (.f64 x 1/2))) (.f64 8/3 (sin.f64 (.f64 x 1/2)))) (.f64 8/3 (sin.f64 (.f64 x 1/2)))) (.f64 (.f64 (sin.f64 x) (sin.f64 x)) (sin.f64 x)))))
	0.7b	(.f64 (sin.f64 (.f64 x 1/2)) (cbrt.f64 (.f64 (.f64 (/.f64 (.f64 8/3 (sin.f64 (.f64 x 1/2))) (sin.f64 x)) (/.f64 (.f64 8/3 (sin.f64 (.f64 x 1/2))) (sin.f64 x))) (/.f64 (.f64 8/3 (sin.f64 (.f64 x 1/2))) (sin.f64 x)))))
	14.3b	(.f64 (.f64 (.f64 8/3 (sin.f64 (.f64 x 1/2))) (sqrt.f64 (/.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 x)))) (sqrt.f64 (/.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 x))))
▶	0.6b	(.f64 (sin.f64 (.f64 x 1/2)) (/.f64 1 (/.f64 (sin.f64 x) (.f64 8/3 (sin.f64 (.f64 x 1/2))))))
	0.8b	(.f64 (.f64 (sin.f64 (.f64 x 1/2)) (.f64 (cbrt.f64 (.f64 8/3 (/.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 x)))) (cbrt.f64 (.f64 8/3 (/.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 x)))))) (cbrt.f64 (/.f64 (.f64 8/3 (sin.f64 (.f64 x 1/2))) (sin.f64 x))))

Compiler

Compiled 3320 to 2436 computations (26.6% saved)

localize9.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(/.f64 1 (/.f64 (sin.f64 x) (.f64 8/3 (sin.f64 (.f64 x 1/2)))))
✓	0.2b	(/.f64 (sin.f64 x) (.f64 8/3 (sin.f64 (.f64 x 1/2))))
✓	0.3b	(.f64 (sin.f64 (.f64 x 1/2)) (/.f64 1 (/.f64 (sin.f64 x) (.f64 8/3 (sin.f64 (.f64 x 1/2))))))
	0.3b	(.f64 8/3 (sin.f64 (.f64 x 1/2)))

series30.0ms (0.4%)

Counts

3 → 36

Calls

3 calls:

13.0ms

(*.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 1 (/.f64 (sin.f64 x) (*.f64 8/3 (sin.f64 (*.f64 x 1/2))))))

9.0ms

(/.f64 (sin.f64 x) (*.f64 8/3 (sin.f64 (*.f64 x 1/2))))

8.0ms

(/.f64 1 (/.f64 (sin.f64 x) (*.f64 8/3 (sin.f64 (*.f64 x 1/2)))))

rewrite30.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

68×	`times-frac_binary64`
61×	`add-exp-log_binary64`
43×	`add-sqr-sqrt_binary64`
37×	`*-un-lft-identity_binary64`
36×	`add-cube-cbrt_binary64`

Counts

3 → 140

Calls

3 calls:

11.0ms

(*.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 1 (/.f64 (sin.f64 x) (*.f64 8/3 (sin.f64 (*.f64 x 1/2))))))

5.0ms

(/.f64 1 (/.f64 (sin.f64 x) (*.f64 8/3 (sin.f64 (*.f64 x 1/2)))))

4.0ms

(/.f64 (sin.f64 x) (*.f64 8/3 (sin.f64 (*.f64 x 1/2))))

simplify134.0ms (1.8%)

Algorithm

1×	egg-herbie

Rules

855×	`fma-def_binary64`
442×	`associate-/l*_binary64`
379×	`associate-/r*_binary64`
314×	`fma-neg_binary64`
298×	`associate-/r/_binary64`

Counts

176 → 233

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	189	3887
1	406	3250
2	1226	3172
3	3336	3163
4	4603	3163
5	5097	3163

prune268.0ms (3.7%)

Pruning

11 alts after pruning (10 fresh and 1 done)

	Pruned	Kept	Total
New	263	1	264
Fresh	1	9	10
Picked	0	1	1
Done	0	0	0
Total	264	11	275

Error

Counts

275 → 11

Alt Table

Status	Error	Program
	1.1b	(.f64 (.f64 8/3 (sin.f64 (.f64 x 1/2))) (.f64 (.f64 (cbrt.f64 (/.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 x))) (cbrt.f64 (/.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 x)))) (cbrt.f64 (/.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 x)))))
	36.3b	(.f64 (sqrt.f64 (sin.f64 (.f64 x 1/2))) (.f64 (sqrt.f64 (sin.f64 (.f64 x 1/2))) (/.f64 (.f64 8/3 (sin.f64 (.f64 x 1/2))) (sin.f64 x))))
	14.3b	(.f64 (.f64 (.f64 8/3 (sin.f64 (.f64 x 1/2))) (sqrt.f64 (/.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 x)))) (sqrt.f64 (/.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 x))))
	1.5b	(.f64 (sin.f64 (.f64 x 1/2)) (/.f64 1 (/.f64 (sin.f64 x) (.f64 (.f64 (cbrt.f64 8/3) (cbrt.f64 8/3)) (.f64 (sin.f64 (.f64 x 1/2)) (cbrt.f64 8/3))))))
	19.5b	(.f64 (sin.f64 (.f64 x 1/2)) (/.f64 (cbrt.f64 (.f64 (.f64 (.f64 8/3 8/3) 8/3) (.f64 (.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 (.f64 x 1/2))) (sin.f64 (.f64 x 1/2))))) (sin.f64 x)))
	14.3b	(/.f64 (.f64 (sqrt.f64 (.f64 8/3 (pow.f64 (sin.f64 (.f64 x 1/2)) 2))) (sqrt.f64 (.f64 8/3 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)))) (sin.f64 x))
	14.8b	(/.f64 (/.f64 (.f64 8/3 (pow.f64 (sin.f64 (.f64 x 1/2)) 2)) (*.f64 (cbrt.f64 (sin.f64 x)) (cbrt.f64 (sin.f64 x)))) (cbrt.f64 (sin.f64 x)))
	20.7b	(.f64 (sin.f64 (.f64 x 1/2)) (cbrt.f64 (/.f64 (.f64 (.f64 (.f64 8/3 (sin.f64 (.f64 x 1/2))) (.f64 8/3 (sin.f64 (.f64 x 1/2)))) (.f64 8/3 (sin.f64 (.f64 x 1/2)))) (.f64 (.f64 (sin.f64 x) (sin.f64 x)) (sin.f64 x)))))
	0.7b	(.f64 (sin.f64 (.f64 x 1/2)) (cbrt.f64 (.f64 (.f64 (/.f64 (.f64 8/3 (sin.f64 (.f64 x 1/2))) (sin.f64 x)) (/.f64 (.f64 8/3 (sin.f64 (.f64 x 1/2))) (sin.f64 x))) (/.f64 (.f64 8/3 (sin.f64 (.f64 x 1/2))) (sin.f64 x)))))
✓	0.6b	(.f64 (sin.f64 (.f64 x 1/2)) (/.f64 1 (/.f64 (sin.f64 x) (.f64 8/3 (sin.f64 (.f64 x 1/2))))))
	0.8b	(.f64 (.f64 (sin.f64 (.f64 x 1/2)) (.f64 (cbrt.f64 (.f64 8/3 (/.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 x)))) (cbrt.f64 (.f64 8/3 (/.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 x)))))) (cbrt.f64 (/.f64 (.f64 8/3 (sin.f64 (.f64 x 1/2))) (sin.f64 x))))

Compiler

Compiled 6442 to 4828 computations (25.1% saved)

regimes1.1s (15.3%)

Accuracy

Total 0.4b remaining (87.8%)

Threshold costs 0.4b (87.8%)

Counts

400 → 1

Compiler

Compiled 17082 to 13644 computations (20.1% saved)

simplify3.0ms (0%)

Algorithm

1×	egg-herbie

Rules

4×	`*-commutative_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	29
1	16	29
2	16	29

end222.0ms (3%)

Compiler: Compiled 344 to 270 computations (21.5% saved)

Details

analyze1.1s (15.6%)

sample3.5s (47.7%)

simplify7.0ms (0.1%)

prune3.0ms (0%)

localize8.0ms (0.1%)

series24.0ms (0.3%)

rewrite18.0ms (0.2%)

simplify91.0ms (1.3%)

prune125.0ms (1.7%)

localize8.0ms (0.1%)

series23.0ms (0.3%)

rewrite14.0ms (0.2%)

simplify101.0ms (1.4%)

prune158.0ms (2.2%)

localize8.0ms (0.1%)

series22.0ms (0.3%)

rewrite13.0ms (0.2%)

simplify105.0ms (1.4%)

prune134.0ms (1.8%)

localize9.0ms (0.1%)

series30.0ms (0.4%)

rewrite30.0ms (0.4%)

simplify134.0ms (1.8%)

prune268.0ms (3.7%)

regimes1.1s (15.3%)

simplify3.0ms (0%)

end222.0ms (3%)

Profiling