Details

analyze1.1s (17.7%)

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)

sample103.0ms (1.6%)

Algorithm

1×

intervals

Results

55.0ms	72×	body	1024	valid
23.0ms	141×	body	128	valid
11.0ms	29×	body	512	valid
4.0ms	13×	body	256	valid
2.0ms	1×	body	2048	valid

Compiler

Compiled 36 to 30 computations (16.7% saved)

simplify12.0ms (0.2%)

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 (0.1%)

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

12.9b

Counts

3 → 1

Alt Table

Status	Error	Program
▶	12.9b	(/.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
✓	0.3b	(.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)))
✓	12.8b	(/.f64 (.f64 (sin.f64 (.f64 x 1/2)) (.f64 8/3 (sin.f64 (.f64 x 1/2)))) (sin.f64 x))

rewrite18.0ms (0.3%)

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:

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

series40.0ms (0.6%)

Counts

3 → 36

Calls

3 calls:

24.0ms	(/.f64 (.f64 (sin.f64 (.f64 x 1/2)) (.f64 8/3 (sin.f64 (.f64 x 1/2)))) (sin.f64 x))
10.0ms	(.f64 (sin.f64 (.f64 x 1/2)) (.f64 8/3 (sin.f64 (.f64 x 1/2))))
5.0ms	(.f64 8/3 (sin.f64 (.f64 x 1/2)))

simplify107.0ms (1.7%)

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 → 179

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

prune132.0ms (2.1%)

Pruning

17 alts after pruning (17 fresh and 0 done)

	Pruned	Kept	Total
New	162	17	179
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	163	17	180

Error

0.1b

Counts

180 → 17

Alt Table

Status	Error	Program
	13.1b	(/.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))
	13.6b	(/.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 (sin.f64 x) (.f64 8/3 (sin.f64 (*.f64 x 1/2)))))
	12.9b	(/.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))
	12.9b	(.f64 (.f64 (sin.f64 (.f64 x 1/2)) (.f64 8/3 (sin.f64 (*.f64 x 1/2)))) (/.f64 1 (sin.f64 x)))
	13.7b	(/.f64 (.f64 (sin.f64 (.f64 x 1/2)) (.f64 (.f64 (cbrt.f64 8/3) (cbrt.f64 8/3)) (.f64 (cbrt.f64 8/3) (sin.f64 (.f64 x 1/2))))) (sin.f64 x))
	13.0b	(/.f64 1 (/.f64 (sin.f64 x) (.f64 8/3 (pow.f64 (sin.f64 (.f64 x 1/2)) 2))))
	30.6b	(/.f64 (log.f64 (exp.f64 (.f64 (sin.f64 (.f64 x 1/2)) (.f64 8/3 (sin.f64 (.f64 x 1/2)))))) (sin.f64 x))
	32.0b	(.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))
	13.0b	(/.f64 (.f64 (sin.f64 (.f64 x 1/2)) (log1p.f64 (expm1.f64 (.f64 8/3 (sin.f64 (.f64 x 1/2)))))) (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))))
	13.7b	(.f64 (.f64 (cbrt.f64 (.f64 8/3 (/.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (sin.f64 x)))) (cbrt.f64 (.f64 8/3 (/.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (sin.f64 x))))) (cbrt.f64 (.f64 8/3 (/.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (sin.f64 x)))))
	12.9b	(.f64 8/3 (/.f64 (pow.f64 (sin.f64 (.f64 1/2 x)) 2) (sin.f64 x)))
	39.9b	(/.f64 (.f64 (sin.f64 (.f64 x 1/2)) (.f64 (sqrt.f64 (.f64 8/3 (sin.f64 (.f64 x 1/2)))) (sqrt.f64 (.f64 8/3 (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)))
	32.0b	(.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))))
	24.3b	(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 3001 to 2252 computations (25% saved)

localize8.0ms (0.1%)

Local error

Found 3 expressions with local error:

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

rewrite12.0ms (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))

series40.0ms (0.6%)

Counts

2 → 24

Calls

2 calls:

22.0ms	(.f64 (sin.f64 (.f64 x 1/2)) (/.f64 (.f64 8/3 (sin.f64 (.f64 x 1/2))) (sin.f64 x)))
18.0ms	(/.f64 (.f64 8/3 (sin.f64 (.f64 x 1/2))) (sin.f64 x))

simplify108.0ms (1.7%)

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 → 139

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

prune138.0ms (2.2%)

Pruning

13 alts after pruning (13 fresh and 0 done)

	Pruned	Kept	Total
New	179	10	189
Fresh	13	3	16
Picked	1	0	1
Done	0	0	0
Total	193	13	206

Error

Counts

206 → 13

Alt Table

Status	Error	Program
	9.2b	(expm1.f64 (log1p.f64 (.f64 (sin.f64 (.f64 x 1/2)) (/.f64 (.f64 8/3 (sin.f64 (.f64 x 1/2))) (sin.f64 x)))))
	13.6b	(/.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))
	13.1b	(/.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))
	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)))
	0.8b	(.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))))
	12.9b	(.f64 1 (.f64 8/3 (/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 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)))))
▶	0.4b	(.f64 (.f64 8/3 (sin.f64 (.f64 x 1/2))) (/.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 x)))
	1.5b	(.f64 (.f64 (cbrt.f64 (.f64 (sin.f64 (.f64 x 1/2)) (/.f64 (.f64 8/3 (sin.f64 (.f64 x 1/2))) (sin.f64 x)))) (cbrt.f64 (.f64 (sin.f64 (.f64 x 1/2)) (/.f64 (.f64 8/3 (sin.f64 (.f64 x 1/2))) (sin.f64 x))))) (cbrt.f64 (.f64 (sin.f64 (.f64 x 1/2)) (/.f64 (.f64 8/3 (sin.f64 (.f64 x 1/2))) (sin.f64 x)))))
	1.3b	(.f64 (sin.f64 (.f64 x 1/2)) (/.f64 (/.f64 (.f64 8/3 (sin.f64 (.f64 x 1/2))) (*.f64 (cbrt.f64 (sin.f64 x)) (cbrt.f64 (sin.f64 x)))) (cbrt.f64 (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))))
	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))))
	13.0b	(.f64 (.f64 8/3 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)) (/.f64 1 (sin.f64 x)))

Compiler

Compiled 3197 to 2371 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))
✓	0.1b	(.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)))

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))

series35.0ms (0.6%)

Counts

2 → 24

Calls

2 calls:

24.0ms	(.f64 (.f64 8/3 (sin.f64 (.f64 x 1/2))) (/.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 x)))
11.0ms	(/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x))

simplify118.0ms (1.9%)

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 → 145

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

prune128.0ms (2%)

Pruning

12 alts after pruning (12 fresh and 0 done)

	Pruned	Kept	Total
New	243	2	245
Fresh	2	10	12
Picked	1	0	1
Done	0	0	0
Total	246	12	258

Error

Counts

258 → 12

Alt Table

Status	Error	Program
	9.2b	(expm1.f64 (log1p.f64 (.f64 (sin.f64 (.f64 x 1/2)) (/.f64 (.f64 8/3 (sin.f64 (.f64 x 1/2))) (sin.f64 x)))))
	13.6b	(/.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))
	13.1b	(/.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))
	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)))
	0.8b	(.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))))
	17.1b	(.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))))
	12.9b	(.f64 1 (.f64 8/3 (/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 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)))))
▶	0.4b	(.f64 (.f64 (sqrt.f64 8/3) (.f64 (sqrt.f64 8/3) (sin.f64 (.f64 x 1/2)))) (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x)))
	13.0b	(.f64 (.f64 8/3 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)) (/.f64 1 (sin.f64 x)))
	1.3b	(.f64 (sin.f64 (.f64 x 1/2)) (/.f64 (/.f64 (.f64 8/3 (sin.f64 (.f64 x 1/2))) (*.f64 (cbrt.f64 (sin.f64 x)) (cbrt.f64 (sin.f64 x)))) (cbrt.f64 (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))))

Compiler

Compiled 3260 to 2402 computations (26.3% saved)

localize10.0ms (0.2%)

Local error

Found 4 expressions with local error:

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

rewrite26.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

31×	`add-cbrt-cube_binary64`
31×	`add-exp-log_binary64`
19×	`add-sqr-sqrt_binary64`
19×	`pow1_binary64`
17×	`associate-r_binary64`

Counts

3 → 87

Calls

3 calls:

10.0ms

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

6.0ms

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

4.0ms

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

series60.0ms (0.9%)

Counts

3 → 36

Calls

3 calls:

36.0ms

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

15.0ms

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

9.0ms

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

simplify105.0ms (1.7%)

Algorithm

1×	egg-herbie

Rules

523×	`fma-def_binary64`
503×	`associate-/l*_binary64`
450×	`associate-*r/_binary64`
412×	`associate-*l/_binary64`
352×	`associate-l_binary64`

Counts

123 → 236

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	172	2303
1	481	1963
2	1758	1949
3	4679	1941
4	4943	1941

prune211.0ms (3.3%)

Pruning

12 alts after pruning (11 fresh and 1 done)

	Pruned	Kept	Total
New	294	1	295
Fresh	1	10	11
Picked	0	1	1
Done	0	0	0
Total	295	12	307

Error

Counts

307 → 12

Alt Table

Status	Error	Program
	9.2b	(expm1.f64 (log1p.f64 (.f64 (sin.f64 (.f64 x 1/2)) (/.f64 (.f64 8/3 (sin.f64 (.f64 x 1/2))) (sin.f64 x)))))
	13.6b	(/.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))
	13.1b	(/.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))
	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)))
	0.8b	(.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))))
	17.1b	(.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))))
	1.4b	(.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))))
	13.2b	(.f64 (expm1.f64 (log1p.f64 (.f64 (sqrt.f64 8/3) (.f64 (sqrt.f64 8/3) (sin.f64 (.f64 x 1/2)))))) (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x)))
✓	0.4b	(.f64 (.f64 (sqrt.f64 8/3) (.f64 (sqrt.f64 8/3) (sin.f64 (.f64 x 1/2)))) (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x)))
	13.0b	(.f64 (.f64 8/3 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)) (/.f64 1 (sin.f64 x)))
	12.9b	(.f64 1 (.f64 8/3 (/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (sin.f64 x))))
	1.3b	(.f64 (sin.f64 (.f64 x 1/2)) (/.f64 (/.f64 (.f64 8/3 (sin.f64 (.f64 x 1/2))) (*.f64 (cbrt.f64 (sin.f64 x)) (cbrt.f64 (sin.f64 x)))) (cbrt.f64 (sin.f64 x))))

Compiler

Compiled 5202 to 4065 computations (21.9% saved)

regimes673.0ms (10.6%)

Accuracy

Total 0.4b remaining (89.4%)

Threshold costs 0.4b (89.4%)

Compiler

Compiled 11924 to 9596 computations (19.5% saved)

simplify3.0ms (0.1%)

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

end1.0ms (0%)

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

sample3.1s (49%)

Algorithm

1×

intervals

Results

1.5s	2057×	body	1024	valid
585.0ms	4429×	body	128	valid
364.0ms	971×	body	512	valid
142.0ms	536×	body	256	valid
18.0ms	7×	body	2048	valid

Compiler

Compiled 311 to 252 computations (19% saved)

Details

analyze1.1s (17.7%)

sample103.0ms (1.6%)

simplify12.0ms (0.2%)

prune3.0ms (0.1%)

localize8.0ms (0.1%)

rewrite18.0ms (0.3%)

series40.0ms (0.6%)

simplify107.0ms (1.7%)

prune132.0ms (2.1%)

localize8.0ms (0.1%)

rewrite12.0ms (0.2%)

series40.0ms (0.6%)

simplify108.0ms (1.7%)

prune138.0ms (2.2%)

localize8.0ms (0.1%)

rewrite13.0ms (0.2%)

series35.0ms (0.6%)

simplify118.0ms (1.9%)

prune128.0ms (2%)

localize10.0ms (0.2%)

rewrite26.0ms (0.4%)

series60.0ms (0.9%)

simplify105.0ms (1.7%)

prune211.0ms (3.3%)

regimes673.0ms (10.6%)

simplify3.0ms (0.1%)

end1.0ms (0%)

sample3.1s (49%)

Profiling