Details

analyze1.1s (16.7%)

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)

sample120.0ms (1.8%)

Algorithm

1×

intervals

Results

54.0ms	63×	body	1024	valid
21.0ms	144×	body	128	valid
12.0ms	32×	body	512	valid
4.0ms	16×	body	256	valid
2.0ms	1×	body	2048	valid

Compiler

Compiled 36 to 30 computations (16.7% saved)

simplify8.0ms (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

13.8b

Counts

3 → 1

Alt Table

Status	Error	Program
▶	13.8b	(/.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)

localize9.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(sin.f64 x)
✓	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)))
✓	13.6b	(/.f64 (.f64 (sin.f64 (.f64 x 1/2)) (.f64 8/3 (sin.f64 (.f64 x 1/2)))) (sin.f64 x))

series30.0ms (0.4%)

Counts

4 → 40

Calls

4 calls:

19.0ms	(/.f64 (.f64 (sin.f64 (.f64 x 1/2)) (.f64 8/3 (sin.f64 (.f64 x 1/2)))) (sin.f64 x))
6.0ms	(.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)))
2.0ms	(sin.f64 x)

rewrite20.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

20×	`add-cbrt-cube_binary64`
20×	`add-exp-log_binary64`
11×	`add-sqr-sqrt_binary64`
11×	`pow1_binary64`
9×	`*-un-lft-identity_binary64`

Counts

4 → 74

Calls

4 calls:

8.0ms	(/.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))))
3.0ms	(.f64 8/3 (sin.f64 (.f64 x 1/2)))
1.0ms	(sin.f64 x)

simplify106.0ms (1.6%)

Algorithm

1×	egg-herbie

Rules

672×	`times-frac_binary64`
637×	`associate-/l*_binary64`
484×	`fma-def_binary64`
421×	`associate-l_binary64`
297×	`cancel-sign-sub-inv_binary64`

Counts

114 → 134

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	161	2079
1	382	1626
2	1144	1607
3	4034	1600
4	4988	1600
5	4931	1600

prune145.0ms (2.1%)

Pruning

14 alts after pruning (14 fresh and 0 done)

	Pruned	Kept	Total
New	120	14	134
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	121	14	135

Error

0.0b

Counts

135 → 14

Alt Table

Status	Error	Program
	0.4b	(/.f64 (sin.f64 (.f64 x 1/2)) (/.f64 (sin.f64 x) (.f64 8/3 (sin.f64 (*.f64 x 1/2)))))
	14.5b	(.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))))
	19.4b	(/.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))
	27.8b	(.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))
	13.8b	(/.f64 (log1p.f64 (expm1.f64 (.f64 8/3 (pow.f64 (sin.f64 (.f64 x 1/2)) 2)))) (sin.f64 x))
	14.5b	(/.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)))
	13.8b	(.f64 (.f64 (sin.f64 (.f64 x 1/2)) (.f64 8/3 (sin.f64 (*.f64 x 1/2)))) (/.f64 1 (sin.f64 x)))
	13.8b	(/.f64 1 (/.f64 (sin.f64 x) (.f64 8/3 (pow.f64 (sin.f64 (.f64 x 1/2)) 2))))
	13.8b	(/.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))
▶	0.4b	(.f64 (sin.f64 (.f64 x 1/2)) (/.f64 (.f64 8/3 (sin.f64 (.f64 x 1/2))) (sin.f64 x)))
	14.5b	(/.f64 (.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 8/3 (sin.f64 (.f64 x 1/2))))) (sin.f64 x))
	1.5b	(.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))))
	14.2b	(log1p.f64 (expm1.f64 (.f64 8/3 (/.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (sin.f64 x)))))
	25.7b	(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))))

Compiler

Compiled 3252 to 2416 computations (25.7% saved)

localize8.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.0b	(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 (.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:

13.0ms	(.f64 (sin.f64 (.f64 x 1/2)) (/.f64 (.f64 8/3 (sin.f64 (.f64 x 1/2))) (sin.f64 x)))
10.0ms	(/.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:

8.0ms	(.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))

simplify100.0ms (1.5%)

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 → 98

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

prune176.0ms (2.6%)

Pruning

14 alts after pruning (14 fresh and 0 done)

	Pruned	Kept	Total
New	140	6	146
Fresh	5	8	13
Picked	1	0	1
Done	0	0	0
Total	146	14	160

Error

0.0b

Counts

160 → 14

Alt Table

Status	Error	Program
	13.8b	(/.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))
	20.7b	(.f64 (sin.f64 (.f64 x 1/2)) (/.f64 (.f64 8/3 (sin.f64 (.f64 x 1/2))) (cbrt.f64 (.f64 (.f64 (sin.f64 x) (sin.f64 x)) (sin.f64 x)))))
	19.4b	(/.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))
	27.8b	(.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))
	1.5b	(.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))))
	12.4b	(.f64 (sin.f64 (.f64 x 1/2)) (/.f64 (expm1.f64 (log1p.f64 (.f64 8/3 (sin.f64 (.f64 x 1/2))))) (sin.f64 x)))
	0.9b	(.f64 (.f64 (sin.f64 (.f64 x 1/2)) (.f64 (cbrt.f64 (/.f64 (.f64 8/3 (sin.f64 (.f64 x 1/2))) (sin.f64 x))) (cbrt.f64 (/.f64 (.f64 8/3 (sin.f64 (.f64 x 1/2))) (sin.f64 x))))) (cbrt.f64 (/.f64 (.f64 8/3 (sin.f64 (.f64 x 1/2))) (sin.f64 x))))
	0.5b	(.f64 (sin.f64 (.f64 x 1/2)) (cbrt.f64 (pow.f64 (.f64 8/3 (/.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 x))) 3)))
▶	0.4b	(.f64 (sin.f64 (.f64 x 1/2)) (.f64 8/3 (/.f64 (sin.f64 (.f64 1/2 x)) (sin.f64 x))))
	0.4b	(/.f64 (sin.f64 (.f64 x 1/2)) (/.f64 (sin.f64 x) (.f64 8/3 (sin.f64 (*.f64 x 1/2)))))
	13.8b	(.f64 (.f64 (sin.f64 (.f64 x 1/2)) (.f64 8/3 (sin.f64 (*.f64 x 1/2)))) (/.f64 1 (sin.f64 x)))
	14.5b	(/.f64 (.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 8/3 (sin.f64 (.f64 x 1/2))))) (sin.f64 x))
	25.7b	(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))))
	0.8b	(.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)))))

Compiler

Compiled 3587 to 2649 computations (26.1% saved)

localize13.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.0b	(sin.f64 x)
✓	0.1b	(/.f64 (sin.f64 (*.f64 1/2 x)) (sin.f64 x))
✓	0.2b	(.f64 8/3 (/.f64 (sin.f64 (.f64 1/2 x)) (sin.f64 x)))
✓	0.3b	(.f64 (sin.f64 (.f64 x 1/2)) (.f64 8/3 (/.f64 (sin.f64 (.f64 1/2 x)) (sin.f64 x))))

series30.0ms (0.4%)

Counts

3 → 20

Calls

3 calls:

13.0ms	(.f64 (sin.f64 (.f64 x 1/2)) (.f64 8/3 (/.f64 (sin.f64 (.f64 1/2 x)) (sin.f64 x))))
10.0ms	(.f64 8/3 (/.f64 (sin.f64 (.f64 1/2 x)) (sin.f64 x)))
7.0ms	(/.f64 (sin.f64 (*.f64 1/2 x)) (sin.f64 x))

rewrite21.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

25×	`add-sqr-sqrt_binary64`
20×	`*-un-lft-identity_binary64`
20×	`add-cube-cbrt_binary64`
19×	`times-frac_binary64`
19×	`add-cbrt-cube_binary64`

Counts

3 → 86

Calls

3 calls:

7.0ms	(.f64 8/3 (/.f64 (sin.f64 (.f64 1/2 x)) (sin.f64 x)))
6.0ms	(.f64 (sin.f64 (.f64 x 1/2)) (.f64 8/3 (/.f64 (sin.f64 (.f64 1/2 x)) (sin.f64 x))))
3.0ms	(/.f64 (sin.f64 (*.f64 1/2 x)) (sin.f64 x))

simplify121.0ms (1.8%)

Algorithm

1×	egg-herbie

Rules

808×	`fma-def_binary64`
556×	`associate-l_binary64`
498×	`associate-/r/_binary64`
408×	`associate-r_binary64`
322×	`associate-*r/_binary64`

Counts

106 → 165

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	170	2211
1	363	1846
2	953	1842
3	2916	1835
4	4857	1835
5	4979	1835
6	4925	1835

prune205.0ms (3%)

Pruning

13 alts after pruning (13 fresh and 0 done)

	Pruned	Kept	Total
New	181	1	182
Fresh	1	12	13
Picked	1	0	1
Done	0	0	0
Total	183	13	196

Error

0.0b

Counts

196 → 13

Alt Table

Status	Error	Program
	13.8b	(/.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))
	20.7b	(.f64 (sin.f64 (.f64 x 1/2)) (/.f64 (.f64 8/3 (sin.f64 (.f64 x 1/2))) (cbrt.f64 (.f64 (.f64 (sin.f64 x) (sin.f64 x)) (sin.f64 x)))))
	19.4b	(/.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))
	27.8b	(.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))
	1.5b	(.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))))
	12.4b	(.f64 (sin.f64 (.f64 x 1/2)) (/.f64 (expm1.f64 (log1p.f64 (.f64 8/3 (sin.f64 (.f64 x 1/2))))) (sin.f64 x)))
	0.4b	(/.f64 (sin.f64 (.f64 x 1/2)) (/.f64 (sin.f64 x) (.f64 8/3 (sin.f64 (*.f64 x 1/2)))))
	13.8b	(.f64 (.f64 (sin.f64 (.f64 x 1/2)) (.f64 8/3 (sin.f64 (*.f64 x 1/2)))) (/.f64 1 (sin.f64 x)))
	14.5b	(/.f64 (.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 8/3 (sin.f64 (.f64 x 1/2))))) (sin.f64 x))
▶	0.4b	(.f64 (sin.f64 (.f64 x 1/2)) (.f64 (sqrt.f64 8/3) (.f64 (sqrt.f64 8/3) (/.f64 (sin.f64 (*.f64 1/2 x)) (sin.f64 x)))))
	25.7b	(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))))
	0.9b	(.f64 (.f64 (sin.f64 (.f64 x 1/2)) (.f64 (cbrt.f64 (/.f64 (.f64 8/3 (sin.f64 (.f64 x 1/2))) (sin.f64 x))) (cbrt.f64 (/.f64 (.f64 8/3 (sin.f64 (.f64 x 1/2))) (sin.f64 x))))) (cbrt.f64 (/.f64 (.f64 8/3 (sin.f64 (.f64 x 1/2))) (sin.f64 x))))
	0.8b	(.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)))))

Compiler

Compiled 4533 to 3286 computations (27.5% saved)

localize16.0ms (0.2%)

Local error

Found 4 expressions with local error:

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

series51.0ms (0.8%)

Counts

3 → 36

Calls

3 calls:

24.0ms

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

18.0ms

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

10.0ms

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

rewrite33.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Rules

31×	`add-cbrt-cube_binary64`
31×	`add-exp-log_binary64`
25×	`add-sqr-sqrt_binary64`
19×	`pow1_binary64`
16×	`cbrt-unprod_binary64`

Counts

3 → 91

Calls

3 calls:

9.0ms

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

9.0ms

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

7.0ms

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

simplify134.0ms (2%)

Algorithm

1×	egg-herbie

Rules

843×	`fma-def_binary64`
642×	`associate-*r/_binary64`
475×	`associate-*l/_binary64`
402×	`*-commutative_binary64`
288×	`associate-/l*_binary64`

Counts

127 → 161

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	188	2798
1	471	2285
2	1454	2275
3	4166	2250
4	4799	2250
5	4968	2250
6	4912	2250

prune260.0ms (3.8%)

Pruning

13 alts after pruning (12 fresh and 1 done)

	Pruned	Kept	Total
New	216	3	219
Fresh	3	9	12
Picked	0	1	1
Done	0	0	0
Total	219	13	232

Error

0.0b

Counts

232 → 13

Alt Table

Status	Error	Program
	13.8b	(/.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))
	20.7b	(.f64 (sin.f64 (.f64 x 1/2)) (/.f64 (.f64 8/3 (sin.f64 (.f64 x 1/2))) (cbrt.f64 (.f64 (.f64 (sin.f64 x) (sin.f64 x)) (sin.f64 x)))))
	1.5b	(.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))))
	12.4b	(.f64 (sin.f64 (.f64 x 1/2)) (/.f64 (expm1.f64 (log1p.f64 (.f64 8/3 (sin.f64 (.f64 x 1/2))))) (sin.f64 x)))
	0.9b	(.f64 (sin.f64 (.f64 x 1/2)) (.f64 (sqrt.f64 (.f64 (cbrt.f64 8/3) (cbrt.f64 8/3))) (.f64 (sqrt.f64 (cbrt.f64 8/3)) (.f64 (sqrt.f64 8/3) (/.f64 (sin.f64 (*.f64 1/2 x)) (sin.f64 x))))))
	0.4b	(.f64 (.f64 (sin.f64 (.f64 x 1/2)) (sqrt.f64 8/3)) (.f64 (sqrt.f64 8/3) (/.f64 (sin.f64 (*.f64 1/2 x)) (sin.f64 x))))
	0.4b	(/.f64 (sin.f64 (.f64 x 1/2)) (/.f64 (sin.f64 x) (.f64 8/3 (sin.f64 (*.f64 x 1/2)))))
	13.8b	(.f64 (.f64 (sin.f64 (.f64 x 1/2)) (.f64 8/3 (sin.f64 (*.f64 x 1/2)))) (/.f64 1 (sin.f64 x)))
	13.8b	(pow.f64 (/.f64 (.f64 8/3 (pow.f64 (sin.f64 (.f64 x 1/2)) 2)) (sin.f64 x)) 1)
	14.5b	(/.f64 (.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 8/3 (sin.f64 (.f64 x 1/2))))) (sin.f64 x))
✓	0.4b	(.f64 (sin.f64 (.f64 x 1/2)) (.f64 (sqrt.f64 8/3) (.f64 (sqrt.f64 8/3) (/.f64 (sin.f64 (*.f64 1/2 x)) (sin.f64 x)))))
	25.7b	(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))))
	0.9b	(.f64 (.f64 (sin.f64 (.f64 x 1/2)) (.f64 (cbrt.f64 (/.f64 (.f64 8/3 (sin.f64 (.f64 x 1/2))) (sin.f64 x))) (cbrt.f64 (/.f64 (.f64 8/3 (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 5856 to 4530 computations (22.6% saved)

regimes804.0ms (11.8%)

Accuracy

Total 0.5b remaining (93.8%)

Threshold costs 0.5b (93.8%)

Counts

308 → 1

Compiler

Compiled 12906 to 10332 computations (19.9% saved)

simplify3.0ms (0%)

Algorithm

1×	egg-herbie

Rules

4×	`*-commutative_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	29
1	16	29
2	16	29

end1.0ms (0%)

Compiler: Compiled 19 to 16 computations (15.8% saved)

sample3.2s (47.1%)

Algorithm

1×

intervals

Results

1.6s	2003×	body	1024	valid
612.0ms	4442×	body	128	valid
393.0ms	1026×	body	512	valid
166.0ms	525×	body	256	valid
6.0ms	4×	body	2048	valid

Compiler

Compiled 343 to 273 computations (20.4% saved)

Details

analyze1.1s (16.7%)

sample120.0ms (1.8%)

simplify8.0ms (0.1%)

prune3.0ms (0%)

localize9.0ms (0.1%)

series30.0ms (0.4%)

rewrite20.0ms (0.3%)

simplify106.0ms (1.6%)

prune145.0ms (2.1%)

localize8.0ms (0.1%)

series23.0ms (0.3%)

rewrite14.0ms (0.2%)

simplify100.0ms (1.5%)

prune176.0ms (2.6%)

localize13.0ms (0.2%)

series30.0ms (0.4%)

rewrite21.0ms (0.3%)

simplify121.0ms (1.8%)

prune205.0ms (3%)

localize16.0ms (0.2%)

series51.0ms (0.8%)

rewrite33.0ms (0.5%)

simplify134.0ms (2%)

prune260.0ms (3.8%)

regimes804.0ms (11.8%)

simplify3.0ms (0%)

end1.0ms (0%)

sample3.2s (47.1%)

Profiling