Details

analyze1.8s (13.9%)

Algorithm

1×

Search

True	Other	False	Iter
0%	100%	0%	0
0%	100%	0%	1
0%	100%	0%	2
25%	75%	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)

sample6.2s (48%)

Results

3.1s	2124×	body	1024	valid
1.8s	4598×	body	128	valid
794.0ms	1034×	body	512	valid
261.0ms	496×	body	256	valid
12.0ms	4×	body	2048	valid

Compiler

Compiled 53 to 44 computations (17% saved)

simplify125.0ms (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

prune4.0ms (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

14.5b

Counts

3 → 1

Alt Table

Status	Error	Program
▶	14.5b	(/.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)

localize15.0ms (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))))
✓	0.4b	(.f64 8/3 (sin.f64 (.f64 x 1/2)))
✓	14.4b	(/.f64 (.f64 (sin.f64 (.f64 x 1/2)) (.f64 8/3 (sin.f64 (.f64 x 1/2)))) (sin.f64 x))

series45.0ms (0.3%)

Counts

3 → 36

Calls

3 calls:

26.0ms	(/.f64 (.f64 (sin.f64 (.f64 x 1/2)) (.f64 8/3 (sin.f64 (.f64 x 1/2)))) (sin.f64 x))
11.0ms	(.f64 (sin.f64 (.f64 x 1/2)) (.f64 8/3 (sin.f64 (.f64 x 1/2))))
7.0ms	(.f64 8/3 (sin.f64 (.f64 x 1/2)))

rewrite56.0ms (0.4%)

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:

37.0ms	(.f64 8/3 (sin.f64 (.f64 x 1/2)))
9.0ms	(/.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))))

simplify128.0ms (1%)

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

prune215.0ms (1.7%)

Pruning

14 alts after pruning (14 fresh and 0 done)

	Pruned	Kept	Total
New	103	14	117
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	104	14	118

Error

0.1b

Counts

118 → 14

Alt Table

Status	Error	Program
	15.2b	(/.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)))
	15.2b	(/.f64 (.f64 (.f64 (cbrt.f64 (.f64 (sin.f64 (.f64 x 1/2)) (.f64 8/3 (sin.f64 (.f64 x 1/2))))) (cbrt.f64 (.f64 (sin.f64 (.f64 x 1/2)) (.f64 8/3 (sin.f64 (.f64 x 1/2)))))) (cbrt.f64 (.f64 (sin.f64 (.f64 x 1/2)) (.f64 8/3 (sin.f64 (.f64 x 1/2)))))) (sin.f64 x))
	15.2b	(.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))))
	15.2b	(/.f64 (.f64 (sin.f64 (.f64 x 1/2)) (.f64 (.f64 8/3 (.f64 (cbrt.f64 (sin.f64 (.f64 x 1/2))) (cbrt.f64 (sin.f64 (.f64 x 1/2))))) (cbrt.f64 (sin.f64 (.f64 x 1/2))))) (sin.f64 x))
▶	0.5b	(.f64 (sin.f64 (.f64 x 1/2)) (/.f64 (.f64 8/3 (sin.f64 (.f64 x 1/2))) (sin.f64 x)))
	21.1b	(/.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))
	14.6b	(/.f64 1 (/.f64 (sin.f64 x) (.f64 8/3 (pow.f64 (sin.f64 (.f64 x 1/2)) 2))))
	15.2b	(/.f64 (.f64 (sin.f64 (.f64 x 1/2)) (.f64 (.f64 (cbrt.f64 (.f64 8/3 (sin.f64 (.f64 x 1/2)))) (cbrt.f64 (.f64 8/3 (sin.f64 (.f64 x 1/2))))) (cbrt.f64 (.f64 8/3 (sin.f64 (.f64 x 1/2)))))) (sin.f64 x))
	34.4b	(.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))
	1.4b	(.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))))
	15.5b	(log1p.f64 (expm1.f64 (.f64 8/3 (/.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (sin.f64 x)))))
	14.7b	(/.f64 (.f64 (sqrt.f64 (.f64 (sin.f64 (.f64 x 1/2)) (.f64 8/3 (sin.f64 (.f64 x 1/2))))) (sqrt.f64 (.f64 (sin.f64 (.f64 x 1/2)) (.f64 8/3 (sin.f64 (*.f64 x 1/2)))))) (sin.f64 x))
	26.1b	(/.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 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))
	27.5b	(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 3074 to 2304 computations (25% saved)

localize20.0ms (0.2%)

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))
	0.4b	(.f64 8/3 (sin.f64 (.f64 x 1/2)))
✓	0.4b	(.f64 (sin.f64 (.f64 x 1/2)) (/.f64 (.f64 8/3 (sin.f64 (.f64 x 1/2))) (sin.f64 x)))

series44.0ms (0.3%)

Counts

2 → 24

Calls

2 calls:

27.0ms	(.f64 (sin.f64 (.f64 x 1/2)) (/.f64 (.f64 8/3 (sin.f64 (.f64 x 1/2))) (sin.f64 x)))
17.0ms	(/.f64 (.f64 8/3 (sin.f64 (.f64 x 1/2))) (sin.f64 x))

rewrite23.0ms (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:

11.0ms	(.f64 (sin.f64 (.f64 x 1/2)) (/.f64 (.f64 8/3 (sin.f64 (.f64 x 1/2))) (sin.f64 x)))
7.0ms	(/.f64 (.f64 8/3 (sin.f64 (.f64 x 1/2))) (sin.f64 x))

simplify172.0ms (1.3%)

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

prune331.0ms (2.6%)

Pruning

13 alts after pruning (13 fresh and 0 done)

	Pruned	Kept	Total
New	123	5	128
Fresh	5	8	13
Picked	1	0	1
Done	0	0	0
Total	129	13	142

Error

0.0b

Counts

142 → 13

Alt Table

Status	Error	Program
	1.4b	(.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))))
	32.8b	(.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))))
▶	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)))
	26.1b	(/.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 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))
	27.5b	(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)))))
	1.3b	(.f64 (.f64 (sin.f64 (.f64 x 1/2)) (/.f64 8/3 (.f64 (cbrt.f64 (sin.f64 x)) (cbrt.f64 (sin.f64 x))))) (/.f64 (sin.f64 (*.f64 x 1/2)) (cbrt.f64 (sin.f64 x))))
	15.2b	(/.f64 (.f64 (.f64 (cbrt.f64 (.f64 (sin.f64 (.f64 x 1/2)) (.f64 8/3 (sin.f64 (.f64 x 1/2))))) (cbrt.f64 (.f64 (sin.f64 (.f64 x 1/2)) (.f64 8/3 (sin.f64 (.f64 x 1/2)))))) (cbrt.f64 (.f64 (sin.f64 (.f64 x 1/2)) (.f64 8/3 (sin.f64 (.f64 x 1/2)))))) (sin.f64 x))
	15.2b	(/.f64 (.f64 (sin.f64 (.f64 x 1/2)) (.f64 (.f64 8/3 (.f64 (cbrt.f64 (sin.f64 (.f64 x 1/2))) (cbrt.f64 (sin.f64 (.f64 x 1/2))))) (cbrt.f64 (sin.f64 (.f64 x 1/2))))) (sin.f64 x))
	14.6b	(/.f64 1 (/.f64 (sin.f64 x) (.f64 8/3 (pow.f64 (sin.f64 (.f64 x 1/2)) 2))))
	21.1b	(/.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))
	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))))
	15.5b	(log1p.f64 (expm1.f64 (.f64 8/3 (/.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (sin.f64 x)))))

Compiler

Compiled 3314 to 2463 computations (25.7% saved)

localize23.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(.f64 (sin.f64 (.f64 x 1/2)) (sqrt.f64 8/3))
✓	0.3b	(.f64 (sqrt.f64 8/3) (.f64 (sin.f64 (*.f64 x 1/2)) (sqrt.f64 8/3)))
✓	0.3b	(/.f64 (.f64 (sqrt.f64 8/3) (.f64 (sin.f64 (*.f64 x 1/2)) (sqrt.f64 8/3))) (sin.f64 x))
✓	0.4b	(.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)))

series132.0ms (1%)

Counts

4 → 48

Calls

4 calls:

71.0ms	(.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)))
34.0ms	(/.f64 (.f64 (sqrt.f64 8/3) (.f64 (sin.f64 (*.f64 x 1/2)) (sqrt.f64 8/3))) (sin.f64 x))
16.0ms	(.f64 (sqrt.f64 8/3) (.f64 (sin.f64 (*.f64 x 1/2)) (sqrt.f64 8/3)))
11.0ms	(.f64 (sin.f64 (.f64 x 1/2)) (sqrt.f64 8/3))

rewrite67.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Rules

34×	`add-cbrt-cube_binary64`
34×	`add-exp-log_binary64`
20×	`add-sqr-sqrt_binary64`
14×	`associate-r_binary64`
14×	`*-un-lft-identity_binary64`

Counts

4 → 103

Calls

4 calls:

17.0ms	(.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)))
16.0ms	(/.f64 (.f64 (sqrt.f64 8/3) (.f64 (sin.f64 (*.f64 x 1/2)) (sqrt.f64 8/3))) (sin.f64 x))
12.0ms	(.f64 (sqrt.f64 8/3) (.f64 (sin.f64 (*.f64 x 1/2)) (sqrt.f64 8/3)))
10.0ms	(.f64 (sin.f64 (.f64 x 1/2)) (sqrt.f64 8/3))

simplify174.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

602×	`associate-*l/_binary64`
457×	`fma-def_binary64`
443×	`associate-/r*_binary64`
381×	`fma-neg_binary64`
281×	`associate-/r/_binary64`

Counts

151 → 190

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	201	3112
1	525	2376
2	1634	2360
3	4670	2360
4	4930	2360

prune429.0ms (3.3%)

Pruning

12 alts after pruning (12 fresh and 0 done)

	Pruned	Kept	Total
New	187	3	190
Fresh	3	9	12
Picked	1	0	1
Done	0	0	0
Total	191	12	203

Error

0.0b

Counts

203 → 12

Alt Table

Status	Error	Program
	14.6b	(/.f64 1 (/.f64 (sin.f64 x) (.f64 8/3 (pow.f64 (sin.f64 (.f64 x 1/2)) 2))))
▶	0.6b	(.f64 (.f64 (sqrt.f64 8/3) (sin.f64 (.f64 x 1/2))) (/.f64 (.f64 (sin.f64 (*.f64 x 1/2)) (sqrt.f64 8/3)) (sin.f64 x)))
	0.9b	(.f64 (sin.f64 (.f64 x 1/2)) (/.f64 (.f64 (sqrt.f64 8/3) (.f64 (.f64 (sin.f64 (.f64 x 1/2)) (fabs.f64 (cbrt.f64 8/3))) (sqrt.f64 (cbrt.f64 8/3)))) (sin.f64 x)))
	10.4b	(expm1.f64 (log1p.f64 (.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)))))
	1.4b	(.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))))
	32.8b	(.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))))
	27.5b	(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))))
	1.3b	(.f64 (.f64 (sin.f64 (.f64 x 1/2)) (/.f64 8/3 (.f64 (cbrt.f64 (sin.f64 x)) (cbrt.f64 (sin.f64 x))))) (/.f64 (sin.f64 (*.f64 x 1/2)) (cbrt.f64 (sin.f64 x))))
	15.2b	(/.f64 (.f64 (.f64 (cbrt.f64 (.f64 (sin.f64 (.f64 x 1/2)) (.f64 8/3 (sin.f64 (.f64 x 1/2))))) (cbrt.f64 (.f64 (sin.f64 (.f64 x 1/2)) (.f64 8/3 (sin.f64 (.f64 x 1/2)))))) (cbrt.f64 (.f64 (sin.f64 (.f64 x 1/2)) (.f64 8/3 (sin.f64 (.f64 x 1/2)))))) (sin.f64 x))
	15.2b	(/.f64 (.f64 (sin.f64 (.f64 x 1/2)) (.f64 (.f64 8/3 (.f64 (cbrt.f64 (sin.f64 (.f64 x 1/2))) (cbrt.f64 (sin.f64 (.f64 x 1/2))))) (cbrt.f64 (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))))
	15.5b	(log1p.f64 (expm1.f64 (.f64 8/3 (/.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (sin.f64 x)))))

Compiler

Compiled 5283 to 4160 computations (21.3% saved)

localize18.0ms (0.1%)

Local error

Found 4 expressions with local error:

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

series60.0ms (0.5%)

Counts

3 → 36

Calls

3 calls:

33.0ms

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

18.0ms

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

8.0ms

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

rewrite51.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

31×	`add-cbrt-cube_binary64`
31×	`add-exp-log_binary64`
14×	`add-sqr-sqrt_binary64`
13×	`cbrt-unprod_binary64`
13×	`prod-exp_binary64`

Counts

3 → 80

Calls

3 calls:

18.0ms

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

10.0ms

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

9.0ms

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

simplify232.0ms (1.8%)

Algorithm

1×	egg-herbie

Rules

429×	`*-commutative_binary64`
364×	`fma-def_binary64`
336×	`associate-/l/_binary64`
284×	`associate-/r*_binary64`
272×	`fma-neg_binary64`

Counts

116 → 136

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	176	2392
1	445	2046
2	1611	2024
3	3746	2022
4	4895	2022
5	4998	2022
6	4924	2022

prune364.0ms (2.8%)

Pruning

11 alts after pruning (10 fresh and 1 done)

	Pruned	Kept	Total
New	176	2	178
Fresh	3	8	11
Picked	0	1	1
Done	0	0	0
Total	179	11	190

Error

0.0b

Counts

190 → 11

Alt Table

Status	Error	Program
	14.6b	(/.f64 1 (/.f64 (sin.f64 x) (.f64 8/3 (pow.f64 (sin.f64 (.f64 x 1/2)) 2))))
✓	0.6b	(.f64 (.f64 (sqrt.f64 8/3) (sin.f64 (.f64 x 1/2))) (/.f64 (.f64 (sin.f64 (*.f64 x 1/2)) (sqrt.f64 8/3)) (sin.f64 x)))
	15.5b	(log1p.f64 (expm1.f64 (.f64 8/3 (/.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (sin.f64 x)))))
	0.9b	(.f64 (.f64 (sqrt.f64 8/3) (sin.f64 (.f64 x 1/2))) (/.f64 (.f64 (.f64 (sin.f64 (.f64 x 1/2)) (fabs.f64 (cbrt.f64 8/3))) (sqrt.f64 (cbrt.f64 8/3))) (sin.f64 x)))
	27.5b	(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))))
	1.3b	(.f64 (.f64 (sin.f64 (.f64 x 1/2)) (/.f64 8/3 (.f64 (cbrt.f64 (sin.f64 x)) (cbrt.f64 (sin.f64 x))))) (/.f64 (sin.f64 (*.f64 x 1/2)) (cbrt.f64 (sin.f64 x))))
	15.2b	(/.f64 (.f64 (.f64 (cbrt.f64 (.f64 (sin.f64 (.f64 x 1/2)) (.f64 8/3 (sin.f64 (.f64 x 1/2))))) (cbrt.f64 (.f64 (sin.f64 (.f64 x 1/2)) (.f64 8/3 (sin.f64 (.f64 x 1/2)))))) (cbrt.f64 (.f64 (sin.f64 (.f64 x 1/2)) (.f64 8/3 (sin.f64 (.f64 x 1/2)))))) (sin.f64 x))
	10.4b	(expm1.f64 (log1p.f64 (.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)))))
	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))))
	1.4b	(.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))))
	0.9b	(.f64 (.f64 (sqrt.f64 (sqrt.f64 8/3)) (.f64 (sqrt.f64 (sqrt.f64 8/3)) (sin.f64 (.f64 x 1/2)))) (/.f64 (.f64 (sin.f64 (.f64 x 1/2)) (sqrt.f64 8/3)) (sin.f64 x)))

Compiler

Compiled 4764 to 3770 computations (20.9% saved)

regimes1.8s (13.7%)

Accuracy

Total 0.4b remaining (92.7%)

Threshold costs 0.4b (92.7%)

Counts

315 → 1

Compiler

Compiled 13394 to 10982 computations (18% 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

end406.0ms (3.1%)

Compiler: Compiled 328 to 261 computations (20.4% saved)

Details

analyze1.8s (13.9%)

sample6.2s (48%)

simplify125.0ms (1%)

prune4.0ms (0%)

localize15.0ms (0.1%)

series45.0ms (0.3%)

rewrite56.0ms (0.4%)

simplify128.0ms (1%)

prune215.0ms (1.7%)

localize20.0ms (0.2%)

series44.0ms (0.3%)

rewrite23.0ms (0.2%)

simplify172.0ms (1.3%)

prune331.0ms (2.6%)

localize23.0ms (0.2%)

series132.0ms (1%)

rewrite67.0ms (0.5%)

simplify174.0ms (1.3%)

prune429.0ms (3.3%)

localize18.0ms (0.1%)

series60.0ms (0.5%)

rewrite51.0ms (0.4%)

simplify232.0ms (1.8%)

prune364.0ms (2.8%)

regimes1.8s (13.7%)

simplify3.0ms (0%)

end406.0ms (3.1%)

Profiling