Details

analyze2.2s (17.5%)

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)

sample190.0ms (1.5%)

Algorithm

1×

intervals

Results

107.0ms	66×	body	1024	valid
33.0ms	140×	body	128	valid
25.0ms	35×	body	512	valid
7.0ms	14×	body	256	valid
3.0ms	1×	body	2048	valid

Compiler

Compiled 36 to 30 computations (16.7% saved)

simplify18.0ms (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

prune6.0ms (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

14.6b

Counts

3 → 1

Alt Table

Status	Error	Program
▶	14.6b	(/.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)

localize16.0ms (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)))
✓	14.5b	(/.f64 (.f64 (sin.f64 (.f64 x 1/2)) (.f64 8/3 (sin.f64 (.f64 x 1/2)))) (sin.f64 x))

series50.0ms (0.4%)

Counts

3 → 36

Calls

3 calls:

33.0ms	(/.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))))
5.0ms	(.f64 8/3 (sin.f64 (.f64 x 1/2)))

rewrite39.0ms (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:

15.0ms	(/.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))))
7.0ms	(.f64 8/3 (sin.f64 (.f64 x 1/2)))

simplify175.0ms (1.4%)

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

prune246.0ms (1.9%)

Pruning

17 alts after pruning (17 fresh and 0 done)

	Pruned	Kept	Total
New	100	17	117
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	101	17	118

Error

0.1b

Counts

118 → 17

Alt Table

Status	Error	Program
	14.7b	(/.f64 (expm1.f64 (log1p.f64 (.f64 (sin.f64 (.f64 x 1/2)) (.f64 8/3 (sin.f64 (.f64 x 1/2)))))) (sin.f64 x))
	23.1b	(expm1.f64 (log1p.f64 (/.f64 (.f64 (sin.f64 (.f64 x 1/2)) (.f64 8/3 (sin.f64 (.f64 x 1/2)))) (sin.f64 x))))
	25.3b	(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))))
	14.7b	(/.f64 (.f64 8/3 (pow.f64 (sin.f64 (.f64 1/2 x)) 2)) (sin.f64 x))
	14.6b	(/.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))
	0.6b	(/.f64 (sin.f64 (.f64 x 1/2)) (/.f64 (sin.f64 x) (.f64 8/3 (sin.f64 (*.f64 x 1/2)))))
	15.3b	(/.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))
	18.3b	(cbrt.f64 (pow.f64 (.f64 8/3 (/.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (sin.f64 x))) 3))
	39.2b	(/.f64 (.f64 (sqrt.f64 (sin.f64 (.f64 x 1/2))) (.f64 8/3 (pow.f64 (sin.f64 (.f64 x 1/2)) 3/2))) (sin.f64 x))
	18.3b	(/.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))
	14.7b	(/.f64 (.f64 (sin.f64 (.f64 x 1/2)) (log1p.f64 (expm1.f64 (.f64 8/3 (sin.f64 (.f64 x 1/2)))))) (sin.f64 x))
	1.4b	(.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))))
	28.1b	(/.f64 (.f64 (sin.f64 (.f64 x 1/2)) (expm1.f64 (log1p.f64 (.f64 8/3 (sin.f64 (.f64 x 1/2)))))) (sin.f64 x))
	15.3b	(log1p.f64 (expm1.f64 (.f64 8/3 (/.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (sin.f64 x)))))
▶	0.6b	(.f64 (sin.f64 (.f64 x 1/2)) (/.f64 (.f64 8/3 (sin.f64 (.f64 x 1/2))) (sin.f64 x)))
	29.8b	(.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))
	29.8b	(.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))))

Compiler

Compiled 2944 to 2206 computations (25.1% saved)

localize15.0ms (0.1%)

Local error

Found 3 expressions with local error:

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

series52.0ms (0.4%)

Counts

2 → 24

Calls

2 calls:

28.0ms	(.f64 (sin.f64 (.f64 x 1/2)) (/.f64 (.f64 8/3 (sin.f64 (.f64 x 1/2))) (sin.f64 x)))
24.0ms	(/.f64 (.f64 8/3 (sin.f64 (.f64 x 1/2))) (sin.f64 x))

rewrite31.0ms (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:

12.0ms	(.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))

simplify152.0ms (1.2%)

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

prune265.0ms (2.1%)

Pruning

14 alts after pruning (14 fresh and 0 done)

	Pruned	Kept	Total
New	121	8	129
Fresh	10	6	16
Picked	1	0	1
Done	0	0	0
Total	132	14	146

Error

0.0b

Counts

146 → 14

Alt Table

Status	Error	Program
	14.6b	(/.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))
	0.6b	(/.f64 (sin.f64 (.f64 x 1/2)) (/.f64 (sin.f64 x) (.f64 8/3 (sin.f64 (*.f64 x 1/2)))))
	14.0b	(.f64 (sin.f64 (.f64 x 1/2)) (/.f64 (expm1.f64 (log1p.f64 (.f64 8/3 (sin.f64 (.f64 x 1/2))))) (sin.f64 x)))
	18.3b	(cbrt.f64 (pow.f64 (.f64 8/3 (/.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (sin.f64 x))) 3))
	18.3b	(/.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))
	29.7b	(.f64 (sin.f64 (.f64 x 1/2)) (.f64 (/.f64 8/3 (sqrt.f64 (sin.f64 x))) (/.f64 (sin.f64 (.f64 x 1/2)) (sqrt.f64 (sin.f64 x)))))
	1.4b	(.f64 (sin.f64 (.f64 x 1/2)) (/.f64 (.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)))
	15.3b	(log1p.f64 (expm1.f64 (.f64 8/3 (/.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (sin.f64 x)))))
	29.8b	(.f64 (sqrt.f64 (.f64 (sin.f64 (.f64 x 1/2)) (/.f64 (.f64 8/3 (sin.f64 (.f64 x 1/2))) (sin.f64 x)))) (sqrt.f64 (.f64 (sin.f64 (.f64 x 1/2)) (/.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)))))
	0.5b	(.f64 (.f64 8/3 (sin.f64 (.f64 x 1/2))) (/.f64 (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)))
	14.7b	(/.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 (sin.f64 (.f64 x 1/2)) (/.f64 (.f64 (sin.f64 (.f64 x 1/2)) (/.f64 8/3 (*.f64 (cbrt.f64 (sin.f64 x)) (cbrt.f64 (sin.f64 x))))) (cbrt.f64 (sin.f64 x))))

Compiler

Compiled 3165 to 2351 computations (25.7% saved)

localize21.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(.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 (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)))
✓	0.4b	(/.f64 (.f64 (sqrt.f64 8/3) (.f64 (sin.f64 (*.f64 x 1/2)) (sqrt.f64 8/3))) (sin.f64 x))

series109.0ms (0.9%)

Counts

4 → 48

Calls

4 calls:

48.0ms	(.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)))
35.0ms	(/.f64 (.f64 (sqrt.f64 8/3) (.f64 (sin.f64 (*.f64 x 1/2)) (sqrt.f64 8/3))) (sin.f64 x))
17.0ms	(.f64 (sqrt.f64 8/3) (.f64 (sin.f64 (*.f64 x 1/2)) (sqrt.f64 8/3)))
8.0ms	(.f64 (sin.f64 (.f64 x 1/2)) (sqrt.f64 8/3))

rewrite74.0ms (0.6%)

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:

18.0ms	(.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)))
18.0ms	(/.f64 (.f64 (sqrt.f64 8/3) (.f64 (sin.f64 (*.f64 x 1/2)) (sqrt.f64 8/3))) (sin.f64 x))
13.0ms	(.f64 (sin.f64 (.f64 x 1/2)) (sqrt.f64 8/3))
12.0ms	(.f64 (sqrt.f64 8/3) (.f64 (sin.f64 (*.f64 x 1/2)) (sqrt.f64 8/3)))

simplify181.0ms (1.4%)

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 → 195

Iterations

Useful iterations: 2 (0.0ms)

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

prune453.0ms (3.6%)

Pruning

13 alts after pruning (12 fresh and 1 done)

	Pruned	Kept	Total
New	191	4	195
Fresh	5	8	13
Picked	0	1	1
Done	0	0	0
Total	196	13	209

Error

0.0b

Counts

209 → 13

Alt Table

Status	Error	Program
	0.9b	(.f64 (sin.f64 (.f64 x 1/2)) (/.f64 (.f64 (sqrt.f64 (.f64 (cbrt.f64 8/3) (cbrt.f64 8/3))) (.f64 (sqrt.f64 (cbrt.f64 8/3)) (.f64 (sin.f64 (*.f64 x 1/2)) (sqrt.f64 8/3)))) (sin.f64 x)))
	14.6b	(/.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))
	0.6b	(.f64 (sin.f64 (.f64 x 1/2)) (/.f64 (sqrt.f64 8/3) (/.f64 (sin.f64 x) (.f64 (sin.f64 (.f64 x 1/2)) (sqrt.f64 8/3)))))
	1.4b	(.f64 (sin.f64 (.f64 x 1/2)) (/.f64 (.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)))
	15.3b	(log1p.f64 (expm1.f64 (.f64 8/3 (/.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (sin.f64 x)))))
	29.8b	(.f64 (sqrt.f64 (.f64 (sin.f64 (.f64 x 1/2)) (/.f64 (.f64 8/3 (sin.f64 (.f64 x 1/2))) (sin.f64 x)))) (sqrt.f64 (.f64 (sin.f64 (.f64 x 1/2)) (/.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)))))
	29.7b	(.f64 (sin.f64 (.f64 x 1/2)) (.f64 (/.f64 (sqrt.f64 8/3) (sqrt.f64 (sin.f64 x))) (/.f64 (.f64 (sin.f64 (*.f64 x 1/2)) (sqrt.f64 8/3)) (sqrt.f64 (sin.f64 x)))))
	18.3b	(cbrt.f64 (pow.f64 (.f64 8/3 (/.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (sin.f64 x))) 3))
▶	0.5b	(.f64 (.f64 8/3 (sin.f64 (.f64 x 1/2))) (/.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 x)))
	18.3b	(/.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))
	0.6b	(.f64 (sin.f64 (.f64 x 1/2)) (/.f64 (log1p.f64 (expm1.f64 (.f64 8/3 (sin.f64 (.f64 1/2 x))))) (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)))

Compiler

Compiled 5353 to 4226 computations (21.1% saved)

localize15.0ms (0.1%)

Local error

Found 3 expressions with local error:

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

series50.0ms (0.4%)

Counts

2 → 24

Calls

2 calls:

32.0ms	(.f64 (.f64 8/3 (sin.f64 (.f64 x 1/2))) (/.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 x)))
18.0ms	(/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x))

rewrite32.0ms (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:

14.0ms	(.f64 (.f64 8/3 (sin.f64 (.f64 x 1/2))) (/.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 x)))
9.0ms	(/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x))

simplify176.0ms (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 → 121

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

prune483.0ms (3.8%)

Pruning

12 alts after pruning (11 fresh and 1 done)

	Pruned	Kept	Total
New	150	2	152
Fresh	2	9	11
Picked	0	1	1
Done	1	0	1
Total	153	12	165

Error

Counts

165 → 12

Alt Table

Status	Error	Program
	0.9b	(.f64 (sin.f64 (.f64 x 1/2)) (/.f64 (.f64 (sqrt.f64 (.f64 (cbrt.f64 8/3) (cbrt.f64 8/3))) (.f64 (sqrt.f64 (cbrt.f64 8/3)) (.f64 (sin.f64 (*.f64 x 1/2)) (sqrt.f64 8/3)))) (sin.f64 x)))
	14.6b	(/.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))
	1.4b	(.f64 (sin.f64 (.f64 x 1/2)) (/.f64 (.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)))
	15.3b	(log1p.f64 (expm1.f64 (.f64 8/3 (/.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (sin.f64 x)))))
	1.2b	(.f64 (.f64 (.f64 8/3 (sin.f64 (.f64 x 1/2))) (.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))))
	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)))))
	29.7b	(.f64 (sin.f64 (.f64 x 1/2)) (.f64 (/.f64 (sqrt.f64 8/3) (sqrt.f64 (sin.f64 x))) (/.f64 (.f64 (sin.f64 (*.f64 x 1/2)) (sqrt.f64 8/3)) (sqrt.f64 (sin.f64 x)))))
	18.3b	(cbrt.f64 (pow.f64 (.f64 8/3 (/.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (sin.f64 x))) 3))
✓	0.5b	(.f64 (.f64 8/3 (sin.f64 (.f64 x 1/2))) (/.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 x)))
	18.3b	(/.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))
	0.6b	(.f64 (sin.f64 (.f64 x 1/2)) (/.f64 (log1p.f64 (expm1.f64 (.f64 8/3 (sin.f64 (.f64 1/2 x))))) (sin.f64 x)))
	17.3b	(.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))))

Compiler

Compiled 3528 to 2546 computations (27.8% saved)

regimes1.4s (11.1%)

Accuracy

Total 0.4b remaining (92.8%)

Threshold costs 0.4b (92.8%)

Counts

252 → 1

Compiler

Compiled 10258 to 8178 computations (20.3% saved)

simplify5.0ms (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

end1.0ms (0%)

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

sample6.2s (48.9%)

Algorithm

1×

intervals

Results

3.1s	1938×	body	1024	valid
1.2s	4620×	body	128	valid
737.0ms	974×	body	512	valid
292.0ms	460×	body	256	valid
35.0ms	8×	body	2048	valid

Compiler

Compiled 322 to 260 computations (19.3% saved)

Details

analyze2.2s (17.5%)

sample190.0ms (1.5%)

simplify18.0ms (0.1%)

prune6.0ms (0%)

localize16.0ms (0.1%)

series50.0ms (0.4%)

rewrite39.0ms (0.3%)

simplify175.0ms (1.4%)

prune246.0ms (1.9%)

localize15.0ms (0.1%)

series52.0ms (0.4%)

rewrite31.0ms (0.2%)

simplify152.0ms (1.2%)

prune265.0ms (2.1%)

localize21.0ms (0.2%)

series109.0ms (0.9%)

rewrite74.0ms (0.6%)

simplify181.0ms (1.4%)

prune453.0ms (3.6%)

localize15.0ms (0.1%)

series50.0ms (0.4%)

rewrite32.0ms (0.2%)

simplify176.0ms (1.4%)

prune483.0ms (3.8%)

regimes1.4s (11.1%)

simplify5.0ms (0%)

end1.0ms (0%)

sample6.2s (48.9%)

Profiling