Details

analyze1.0s (11.9%)

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)

sample3.2s (36.7%)

Infinites

0% of outputs are infinite.

Results

1.7s	1980×	body	1024	valid
802.0ms	4734×	body	128	valid
451.0ms	1036×	body	512	valid
170.0ms	501×	body	256	valid
12.0ms	5×	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

15.6b

Counts

3 → 1

Alt Table

Status	Error	Program
▶	15.6b	(/.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)

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)))
✓	15.4b	(/.f64 (.f64 (sin.f64 (.f64 x 1/2)) (.f64 8/3 (sin.f64 (.f64 x 1/2)))) (sin.f64 x))

series22.0ms (0.3%)

Counts

3 → 36

Calls

3 calls:

14.0ms	(/.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)))

rewrite17.0ms (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:

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)))

simplify93.0ms (1.1%)

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

prune136.0ms (1.6%)

Pruning

16 alts after pruning (16 fresh and 0 done)

	Pruned	Kept	Total
New	101	16	117
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	102	16	118

Error

0.1b

Counts

118 → 16

Alt Table

Status	Error	Program
	40.2b	(/.f64 (/.f64 (.f64 8/3 (pow.f64 (sin.f64 (.f64 x 1/2)) 2)) (sqrt.f64 (sin.f64 x))) (sqrt.f64 (sin.f64 x)))
	26.1b	(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))))
	29.5b	(/.f64 (log.f64 (exp.f64 (.f64 8/3 (pow.f64 (sin.f64 (.f64 x 1/2)) 2)))) (sin.f64 x))
	16.2b	(/.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))
	15.6b	(/.f64 1 (/.f64 (sin.f64 x) (.f64 8/3 (pow.f64 (sin.f64 (.f64 x 1/2)) 2))))
	20.6b	(/.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))
	33.9b	(.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))
	16.2b	(/.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))
	33.8b	(.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))))
	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))))
	39.6b	(.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)))))
	25.5b	(expm1.f64 (log1p.f64 (/.f64 (.f64 (sin.f64 (.f64 x 1/2)) (.f64 8/3 (sin.f64 (.f64 x 1/2)))) (sin.f64 x))))
	16.2b	(/.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)))
	16.2b	(.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))))
▶	0.5b	(/.f64 (sin.f64 (.f64 x 1/2)) (/.f64 (sin.f64 x) (.f64 8/3 (sin.f64 (*.f64 x 1/2)))))
	15.5b	(/.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))

Compiler

Compiled 3038 to 2266 computations (25.4% saved)

localize8.0ms (0.1%)

Local error

Found 3 expressions with local error:

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

series27.0ms (0.3%)

Counts

2 → 24

Calls

2 calls:

19.0ms	(/.f64 (sin.f64 (.f64 x 1/2)) (/.f64 (sin.f64 x) (.f64 8/3 (sin.f64 (*.f64 x 1/2)))))
8.0ms	(/.f64 (sin.f64 x) (.f64 8/3 (sin.f64 (.f64 x 1/2))))

rewrite439.0ms (5%)

Algorithm

1×	rewrite-expression-head

Rules

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

Counts

2 → 73

Calls

2 calls:

429.0ms	(/.f64 (sin.f64 x) (.f64 8/3 (sin.f64 (.f64 x 1/2))))
5.0ms	(/.f64 (sin.f64 (.f64 x 1/2)) (/.f64 (sin.f64 x) (.f64 8/3 (sin.f64 (*.f64 x 1/2)))))

simplify110.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

575×	`times-frac_binary64`
514×	`fma-def_binary64`
437×	`associate-/l*_binary64`
336×	`associate-/l/_binary64`
327×	`associate-/r*_binary64`

Counts

97 → 136

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	170	2595
1	386	2210
2	1094	2197
3	4037	2153
4	4970	2153
5	4908	2153

prune171.0ms (1.9%)

Pruning

12 alts after pruning (12 fresh and 0 done)

	Pruned	Kept	Total
New	160	7	167
Fresh	10	5	15
Picked	1	0	1
Done	0	0	0
Total	171	12	183

Error

Counts

183 → 12

Alt Table

Status	Error	Program
▶	0.4b	(/.f64 (sin.f64 (.f64 x 1/2)) (/.f64 (/.f64 (sin.f64 x) 8/3) (sin.f64 (.f64 x 1/2))))
	0.5b	(/.f64 (sin.f64 (.f64 x 1/2)) (cbrt.f64 (pow.f64 (.f64 3/8 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2)))) 3)))
	37.7b	(.f64 (sqrt.f64 (sin.f64 (.f64 x 1/2))) (.f64 8/3 (/.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 3/2) (sin.f64 x))))
	20.6b	(/.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))
	33.9b	(.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))
	1.6b	(.f64 (/.f64 (.f64 (cbrt.f64 (sin.f64 (.f64 x 1/2))) (cbrt.f64 (sin.f64 (.f64 x 1/2)))) (/.f64 (.f64 (cbrt.f64 (sin.f64 x)) (cbrt.f64 (sin.f64 x))) 8/3)) (/.f64 (cbrt.f64 (sin.f64 (.f64 x 1/2))) (/.f64 (cbrt.f64 (sin.f64 x)) (sin.f64 (*.f64 x 1/2)))))
	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))))
	0.5b	(/.f64 (sin.f64 (.f64 x 1/2)) (/.f64 (sin.f64 x) (.f64 (sqrt.f64 8/3) (.f64 (sin.f64 (.f64 x 1/2)) (sqrt.f64 8/3)))))
	26.1b	(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))))
	16.2b	(.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))))
	10.4b	(expm1.f64 (log1p.f64 (/.f64 (sin.f64 (.f64 x 1/2)) (/.f64 (sin.f64 x) (.f64 8/3 (sin.f64 (*.f64 x 1/2)))))))
	1.4b	(/.f64 (sin.f64 (.f64 x 1/2)) (/.f64 (sin.f64 x) (.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)))))))

Compiler

Compiled 4275 to 3147 computations (26.4% saved)

localize9.0ms (0.1%)

Local error

Found 3 expressions with local error:

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

series25.0ms (0.3%)

Counts

3 → 36

Calls

3 calls:

15.0ms	(/.f64 (sin.f64 (.f64 x 1/2)) (/.f64 (/.f64 (sin.f64 x) 8/3) (sin.f64 (.f64 x 1/2))))
8.0ms	(/.f64 (/.f64 (sin.f64 x) 8/3) (sin.f64 (*.f64 x 1/2)))
2.0ms	(/.f64 (sin.f64 x) 8/3)

rewrite54.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Rules

477×	`times-frac_binary64`
237×	`*-un-lft-identity_binary64`
237×	`add-sqr-sqrt_binary64`
237×	`add-cube-cbrt_binary64`
49×	`associate-/r*_binary64`

Counts

3 → 295

Calls

3 calls:

10.0ms	(/.f64 (sin.f64 (.f64 x 1/2)) (/.f64 (/.f64 (sin.f64 x) 8/3) (sin.f64 (.f64 x 1/2))))
5.0ms	(/.f64 (/.f64 (sin.f64 x) 8/3) (sin.f64 (*.f64 x 1/2)))
2.0ms	(/.f64 (sin.f64 x) 8/3)

simplify338.0ms (3.9%)

Algorithm

1×	egg-herbie

Rules

712×	`associate-/r/_binary64`
611×	`associate-/l/_binary64`
515×	`fma-def_binary64`
326×	`associate-*r/_binary64`
299×	`associate-*l/_binary64`

Counts

331 → 495

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	506	11961
1	1131	11160
2	3942	10560
3	4383	10205
4	4966	10205
5	4945	10205

prune520.0ms (5.9%)

Pruning

11 alts after pruning (10 fresh and 1 done)

	Pruned	Kept	Total
New	491	4	495
Fresh	5	6	11
Picked	0	1	1
Done	0	0	0
Total	496	11	507

Error

Counts

507 → 11

Alt Table

Status	Error	Program
✓	0.4b	(/.f64 (sin.f64 (.f64 x 1/2)) (/.f64 (/.f64 (sin.f64 x) 8/3) (sin.f64 (.f64 x 1/2))))
	0.5b	(/.f64 (sin.f64 (.f64 x 1/2)) (cbrt.f64 (pow.f64 (.f64 3/8 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2)))) 3)))
	20.6b	(/.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))
	33.9b	(.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))
	1.3b	(.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))))
	37.7b	(/.f64 (/.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 3/2) (sin.f64 x)) (/.f64 (/.f64 1 8/3) (sqrt.f64 (sin.f64 (.f64 x 1/2)))))
	26.1b	(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))))
	16.2b	(.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))))
	0.7b	(/.f64 (sin.f64 (.f64 x 1/2)) (.f64 (/.f64 (/.f64 1 (sqrt.f64 8/3)) 1) (/.f64 (/.f64 (sin.f64 x) (sqrt.f64 8/3)) (sin.f64 (*.f64 x 1/2)))))
▶	0.4b	(/.f64 (sin.f64 (.f64 x 1/2)) (expm1.f64 (log1p.f64 (/.f64 (/.f64 (sin.f64 x) (sin.f64 (.f64 x 1/2))) 8/3))))
	16.2b	(.f64 (/.f64 1 (.f64 (cbrt.f64 (/.f64 (sin.f64 x) 8/3)) (cbrt.f64 (/.f64 (sin.f64 x) 8/3)))) (/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (cbrt.f64 (/.f64 (sin.f64 x) 8/3))))

Compiler

Compiled 14617 to 10729 computations (26.6% saved)

localize12.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(expm1.f64 (log1p.f64 (/.f64 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2))) 8/3)))
✓	0.2b	(/.f64 (sin.f64 (.f64 x 1/2)) (expm1.f64 (log1p.f64 (/.f64 (/.f64 (sin.f64 x) (sin.f64 (.f64 x 1/2))) 8/3))))
✓	0.2b	(log1p.f64 (/.f64 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2))) 8/3))
✓	0.2b	(/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2)))

series361.0ms (4.1%)

Counts

4 → 48

Calls

4 calls:

330.0ms	(log1p.f64 (/.f64 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2))) 8/3))
13.0ms	(/.f64 (sin.f64 (.f64 x 1/2)) (expm1.f64 (log1p.f64 (/.f64 (/.f64 (sin.f64 x) (sin.f64 (.f64 x 1/2))) 8/3))))
11.0ms	(expm1.f64 (log1p.f64 (/.f64 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2))) 8/3)))
7.0ms	(/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2)))

rewrite10.0ms (0.1%)

Algorithm

1×	rewrite-expression-head

Rules

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

Counts

4 → 80

Calls

4 calls:

3.0ms	(/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2)))
3.0ms	(/.f64 (sin.f64 (.f64 x 1/2)) (expm1.f64 (log1p.f64 (/.f64 (/.f64 (sin.f64 x) (sin.f64 (.f64 x 1/2))) 8/3))))
0.0ms	(log1p.f64 (/.f64 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2))) 8/3))
0.0ms	(expm1.f64 (log1p.f64 (/.f64 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2))) 8/3)))

simplify143.0ms (1.6%)

Algorithm

1×	egg-herbie

Rules

379×	`fma-neg_binary64`
239×	`fma-def_binary64`
204×	`distribute-rgt-neg-in_binary64`
191×	`distribute-lft-neg-in_binary64`
179×	`associate-r_binary64`

Counts

128 → 156

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	182	2752
1	370	2494
2	904	2463
3	2691	2449
4	4837	2449
5	4968	2449
6	4906	2449

prune208.0ms (2.4%)

Pruning

11 alts after pruning (9 fresh and 2 done)

	Pruned	Kept	Total
New	155	1	156
Fresh	1	8	9
Picked	0	1	1
Done	0	1	1
Total	156	11	167

Error

Counts

167 → 11

Alt Table

Status	Error	Program
✓	0.4b	(/.f64 (sin.f64 (.f64 x 1/2)) (/.f64 (/.f64 (sin.f64 x) 8/3) (sin.f64 (.f64 x 1/2))))
	0.5b	(/.f64 (sin.f64 (.f64 x 1/2)) (cbrt.f64 (pow.f64 (.f64 3/8 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2)))) 3)))
	20.6b	(/.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))
	33.9b	(.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))
	1.3b	(.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))))
	37.7b	(/.f64 (/.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 3/2) (sin.f64 x)) (/.f64 (/.f64 1 8/3) (sqrt.f64 (sin.f64 (.f64 x 1/2)))))
	26.1b	(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))))
	1.6b	(/.f64 (sin.f64 (.f64 x 1/2)) (expm1.f64 (log1p.f64 (/.f64 (.f64 (/.f64 (.f64 (cbrt.f64 (sin.f64 x)) (cbrt.f64 (sin.f64 x))) (.f64 (cbrt.f64 (sin.f64 (.f64 x 1/2))) (cbrt.f64 (sin.f64 (.f64 x 1/2))))) (/.f64 (cbrt.f64 (sin.f64 x)) (cbrt.f64 (sin.f64 (*.f64 x 1/2))))) 8/3))))
	16.2b	(.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))))
	0.7b	(/.f64 (sin.f64 (.f64 x 1/2)) (.f64 (/.f64 (/.f64 1 (sqrt.f64 8/3)) 1) (/.f64 (/.f64 (sin.f64 x) (sqrt.f64 8/3)) (sin.f64 (*.f64 x 1/2)))))
✓	0.4b	(/.f64 (sin.f64 (.f64 x 1/2)) (expm1.f64 (log1p.f64 (/.f64 (/.f64 (sin.f64 x) (sin.f64 (.f64 x 1/2))) 8/3))))

Compiler

Compiled 3873 to 2946 computations (23.9% saved)

regimes1.5s (17.7%)

Accuracy

Total 0.3b remaining (89.8%)

Threshold costs 0.3b (89.8%)

Counts

503 → 1

Compiler

Compiled 24202 to 19308 computations (20.2% saved)

simplify2.0ms (0%)

Algorithm

1×	egg-herbie

Rules

1×	`*-commutative_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	22
1	11	22
2	11	22

end229.0ms (2.6%)

Compiler: Compiled 330 to 256 computations (22.4% saved)

Details

analyze1.0s (11.9%)

sample3.2s (36.7%)

simplify7.0ms (0.1%)

prune3.0ms (0%)

localize8.0ms (0.1%)

series22.0ms (0.3%)

rewrite17.0ms (0.2%)

simplify93.0ms (1.1%)

prune136.0ms (1.6%)

localize8.0ms (0.1%)

series27.0ms (0.3%)

rewrite439.0ms (5%)

simplify110.0ms (1.3%)

prune171.0ms (1.9%)

localize9.0ms (0.1%)

series25.0ms (0.3%)

rewrite54.0ms (0.6%)

simplify338.0ms (3.9%)

prune520.0ms (5.9%)

localize12.0ms (0.1%)

series361.0ms (4.1%)

rewrite10.0ms (0.1%)

simplify143.0ms (1.6%)

prune208.0ms (2.4%)

regimes1.5s (17.7%)

simplify2.0ms (0%)

end229.0ms (2.6%)

Profiling