Details

analyze1.2s (14.4%)

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)

sample3.7s (43.6%)

Results

2.0s	2113×	body	1024	valid
863.0ms	4554×	body	128	valid
584.0ms	1068×	body	512	valid
195.0ms	516×	body	256	valid
10.0ms	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

15.3b

Counts

3 → 1

Alt Table

Status	Error	Program
▶	15.3b	(/.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)

localize7.0ms (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)))
✓	15.1b	(/.f64 (.f64 (sin.f64 (.f64 x 1/2)) (.f64 8/3 (sin.f64 (.f64 x 1/2)))) (sin.f64 x))

series27.0ms (0.3%)

Counts

3 → 36

Calls

3 calls:

19.0ms	(/.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)))

rewrite16.0ms (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 (.f64 (sin.f64 (.f64 x 1/2)) (.f64 8/3 (sin.f64 (.f64 x 1/2)))) (sin.f64 x))
4.0ms	(.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)))

simplify94.0ms (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

prune124.0ms (1.5%)

Pruning

15 alts after pruning (15 fresh and 0 done)

	Pruned	Kept	Total
New	102	15	117
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	103	15	118

Error

0.1b

Counts

118 → 15

Alt Table

Status	Error	Program
	15.9b	(/.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))
	15.3b	(.f64 (.f64 (sin.f64 (.f64 x 1/2)) (.f64 8/3 (sin.f64 (*.f64 x 1/2)))) (/.f64 1 (sin.f64 x)))
	15.3b	(/.f64 1 (/.f64 (sin.f64 x) (.f64 8/3 (pow.f64 (sin.f64 (.f64 x 1/2)) 2))))
	31.0b	(log.f64 (exp.f64 (.f64 8/3 (/.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (sin.f64 x)))))
	20.5b	(/.f64 (.f64 (sin.f64 (.f64 x 1/2)) (cbrt.f64 (pow.f64 (.f64 8/3 (sin.f64 (.f64 x 1/2))) 3))) (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)))
	15.8b	(/.f64 (/.f64 (.f64 (sin.f64 (.f64 x 1/2)) (.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)))
	15.2b	(/.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))
	15.3b	(/.f64 1 (/.f64 (sin.f64 x) (.f64 (sin.f64 (.f64 x 1/2)) (.f64 8/3 (sin.f64 (.f64 x 1/2))))))
	33.6b	(.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))))
	15.3b	(/.f64 (.f64 (sin.f64 (.f64 x 1/2)) (log1p.f64 (expm1.f64 (.f64 8/3 (sin.f64 (.f64 x 1/2)))))) (sin.f64 x))
	27.6b	(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 8/3) 8/3) (.f64 (.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 (.f64 x 1/2))) (sin.f64 (.f64 x 1/2))))) (.f64 (.f64 (sin.f64 x) (sin.f64 x)) (sin.f64 x))))
	26.3b	(/.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 (sin.f64 (.f64 x 1/2))) (.f64 8/3 (sin.f64 (.f64 x 1/2)))) (.f64 8/3 (sin.f64 (.f64 x 1/2)))))) (sin.f64 x))
	16.0b	(.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)))))

Compiler

Compiled 2960 to 2212 computations (25.3% saved)

localize8.0ms (0.1%)

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

series21.0ms (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)))
8.0ms	(/.f64 (.f64 8/3 (sin.f64 (.f64 x 1/2))) (sin.f64 x))

rewrite17.0ms (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)))
4.0ms	(/.f64 (.f64 8/3 (sin.f64 (.f64 x 1/2))) (sin.f64 x))

simplify93.0ms (1.1%)

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

prune144.0ms (1.7%)

Pruning

12 alts after pruning (12 fresh and 0 done)

	Pruned	Kept	Total
New	121	7	128
Fresh	9	5	14
Picked	1	0	1
Done	0	0	0
Total	131	12	143

Error

0.0b

Counts

143 → 12

Alt Table

Status	Error	Program
	15.2b	(/.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))
	0.7b	(.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 (sin.f64 (.f64 x 1/2)) (/.f64 8/3 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2)))))
	33.6b	(.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))
	16.0b	(.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)))))
	31.0b	(log.f64 (exp.f64 (.f64 (sin.f64 (.f64 x 1/2)) (/.f64 (.f64 8/3 (sin.f64 (.f64 x 1/2))) (sin.f64 x)))))
	15.9b	(/.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))
	0.5b	(.f64 (sin.f64 (.f64 x 1/2)) (/.f64 (log1p.f64 (expm1.f64 (.f64 8/3 (sin.f64 (.f64 x 1/2))))) (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))))
	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))))
	39.6b	(.f64 (.f64 (sqrt.f64 (sin.f64 (.f64 x 1/2))) (sqrt.f64 (/.f64 (.f64 8/3 (sin.f64 (.f64 x 1/2))) (sin.f64 x)))) (.f64 (sqrt.f64 (sin.f64 (.f64 x 1/2))) (sqrt.f64 (/.f64 (.f64 8/3 (sin.f64 (*.f64 x 1/2))) (sin.f64 x)))))
	27.6b	(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 8/3) 8/3) (.f64 (.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 (.f64 x 1/2))) (sin.f64 (.f64 x 1/2))))) (.f64 (.f64 (sin.f64 x) (sin.f64 x)) (sin.f64 x))))

Compiler

Compiled 3214 to 2379 computations (26% saved)

localize8.0ms (0.1%)

Local error

Found 3 expressions with local error:

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

series35.0ms (0.4%)

Counts

3 → 36

Calls

3 calls:

21.0ms	(.f64 (sin.f64 (.f64 x 1/2)) (/.f64 8/3 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2)))))
8.0ms	(/.f64 8/3 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2))))
6.0ms	(/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2)))

rewrite36.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

153×	`times-frac_binary64`
98×	`add-sqr-sqrt_binary64`
89×	`*-un-lft-identity_binary64`
89×	`add-cube-cbrt_binary64`
44×	`associate-r_binary64`

Counts

3 → 169

Calls

3 calls:

12.0ms	(.f64 (sin.f64 (.f64 x 1/2)) (/.f64 8/3 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2)))))
4.0ms	(/.f64 8/3 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2))))
3.0ms	(/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2)))

simplify167.0ms (2%)

Algorithm

1×	egg-herbie

Rules

716×	`times-frac_binary64`
641×	`fma-def_binary64`
507×	`associate-/r/_binary64`
365×	`associate-/r*_binary64`
193×	`associate-l_binary64`

Counts

205 → 279

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	279	5098
1	629	4706
2	2125	4652
3	3810	4586
4	4831	4586
5	5021	4586

prune289.0ms (3.4%)

Pruning

11 alts after pruning (10 fresh and 1 done)

	Pruned	Kept	Total
New	275	4	279
Fresh	5	6	11
Picked	0	1	1
Done	0	0	0
Total	280	11	291

Error

0.0b

Counts

291 → 11

Alt Table

Status	Error	Program
	15.2b	(/.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))
	0.7b	(.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)))))
	0.8b	(.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))))
	33.5b	(.f64 (/.f64 (sin.f64 (.f64 x 1/2)) (sqrt.f64 (sin.f64 x))) (/.f64 8/3 (/.f64 (sqrt.f64 (sin.f64 x)) (sin.f64 (*.f64 x 1/2)))))
	27.6b	(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 8/3) 8/3) (.f64 (.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 (.f64 x 1/2))) (sin.f64 (.f64 x 1/2))))) (.f64 (.f64 (sin.f64 x) (sin.f64 x)) (sin.f64 x))))
	1.8b	(.f64 (.f64 (sin.f64 (.f64 x 1/2)) (/.f64 (.f64 (cbrt.f64 8/3) (cbrt.f64 8/3)) (.f64 (cbrt.f64 (sin.f64 x)) (cbrt.f64 (sin.f64 x))))) (/.f64 (cbrt.f64 8/3) (/.f64 (cbrt.f64 (sin.f64 x)) (sin.f64 (.f64 x 1/2)))))
▶	0.4b	(.f64 (.f64 (sin.f64 (.f64 x 1/2)) (sqrt.f64 8/3)) (/.f64 (sqrt.f64 8/3) (/.f64 (sin.f64 x) (sin.f64 (.f64 x 1/2)))))
	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))))
	33.6b	(.f64 (.f64 (sin.f64 (.f64 x 1/2)) (/.f64 (sqrt.f64 8/3) (sqrt.f64 (sin.f64 x)))) (/.f64 (sqrt.f64 8/3) (/.f64 (sqrt.f64 (sin.f64 x)) (sin.f64 (.f64 x 1/2)))))
✓	0.5b	(.f64 (sin.f64 (.f64 x 1/2)) (/.f64 8/3 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2)))))
	39.6b	(.f64 (.f64 (sqrt.f64 (sin.f64 (.f64 x 1/2))) (sqrt.f64 (/.f64 (.f64 8/3 (sin.f64 (.f64 x 1/2))) (sin.f64 x)))) (.f64 (sqrt.f64 (sin.f64 (.f64 x 1/2))) (sqrt.f64 (/.f64 (.f64 8/3 (sin.f64 (*.f64 x 1/2))) (sin.f64 x)))))

Compiler

Compiled 7383 to 5338 computations (27.7% saved)

localize9.0ms (0.1%)

Local error

Found 4 expressions with local error:

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

series37.0ms (0.4%)

Counts

3 → 36

Calls

3 calls:

22.0ms

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

11.0ms

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

4.0ms

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

rewrite59.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Rules

273×	`times-frac_binary64`
156×	`add-sqr-sqrt_binary64`
152×	`*-un-lft-identity_binary64`
152×	`add-cube-cbrt_binary64`
89×	`associate-r_binary64`

Counts

3 → 247

Calls

3 calls:

15.0ms

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

7.0ms

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

5.0ms

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

simplify219.0ms (2.6%)

Algorithm

1×	egg-herbie

Rules

652×	`associate-/r*_binary64`
489×	`associate-l_binary64`
415×	`associate-r_binary64`
360×	`fma-def_binary64`
305×	`*-commutative_binary64`

Counts

283 → 374

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	340	8330
1	917	7791
2	3619	7769
3	4948	7769
4	4971	7769

prune457.0ms (5.4%)

Pruning

10 alts after pruning (8 fresh and 2 done)

	Pruned	Kept	Total
New	412	2	414
Fresh	3	6	9
Picked	0	1	1
Done	0	1	1
Total	415	10	425

Error

Counts

425 → 10

Alt Table

Status	Error	Program
	15.2b	(/.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))
	0.7b	(.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 (sin.f64 (.f64 x 1/2)) (sqrt.f64 8/3)) (/.f64 (sqrt.f64 8/3) (/.f64 (sin.f64 x) (sin.f64 (.f64 x 1/2)))))
	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))))
	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))))
✓	0.5b	(.f64 (sin.f64 (.f64 x 1/2)) (/.f64 8/3 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2)))))
	39.6b	(.f64 (.f64 (sqrt.f64 (sin.f64 (.f64 x 1/2))) (sqrt.f64 (/.f64 (.f64 8/3 (sin.f64 (.f64 x 1/2))) (sin.f64 x)))) (.f64 (sqrt.f64 (sin.f64 (.f64 x 1/2))) (sqrt.f64 (/.f64 (.f64 8/3 (sin.f64 (*.f64 x 1/2))) (sin.f64 x)))))
	1.8b	(.f64 (.f64 (sin.f64 (.f64 x 1/2)) (/.f64 (.f64 (cbrt.f64 8/3) (cbrt.f64 8/3)) (.f64 (cbrt.f64 (sin.f64 x)) (cbrt.f64 (sin.f64 x))))) (/.f64 (cbrt.f64 8/3) (/.f64 (cbrt.f64 (sin.f64 x)) (sin.f64 (.f64 x 1/2)))))
	0.9b	(.f64 (.f64 (.f64 (sqrt.f64 8/3) (sin.f64 (.f64 x 1/2))) (fabs.f64 (cbrt.f64 8/3))) (/.f64 (sqrt.f64 (cbrt.f64 8/3)) (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2)))))
	13.7b	(.f64 (.f64 (.f64 (sin.f64 (.f64 x 1/2)) (sqrt.f64 8/3)) (/.f64 1 (sqrt.f64 (/.f64 (sin.f64 x) (sin.f64 (.f64 x 1/2)))))) (/.f64 (sqrt.f64 8/3) (sqrt.f64 (/.f64 (sin.f64 x) (sin.f64 (.f64 x 1/2))))))

Compiler

Compiled 12652 to 9722 computations (23.2% saved)

regimes1.5s (17.2%)

Accuracy

Total 0.4b remaining (89.9%)

Threshold costs 0.4b (89.9%)

Counts

505 → 1

Compiler

Compiled 23900 to 19354 computations (19% saved)

simplify2.0ms (0%)

Algorithm

1×	egg-herbie

Rules

3×	`*-commutative_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	33
1	17	33
2	17	33

end210.0ms (2.5%)

Compiler: Compiled 313 to 246 computations (21.4% saved)

Details

analyze1.2s (14.4%)

sample3.7s (43.6%)

simplify7.0ms (0.1%)

prune3.0ms (0%)

localize7.0ms (0.1%)

series27.0ms (0.3%)

rewrite16.0ms (0.2%)

simplify94.0ms (1.1%)

prune124.0ms (1.5%)

localize8.0ms (0.1%)

series21.0ms (0.3%)

rewrite17.0ms (0.2%)

simplify93.0ms (1.1%)

prune144.0ms (1.7%)

localize8.0ms (0.1%)

series35.0ms (0.4%)

rewrite36.0ms (0.4%)

simplify167.0ms (2%)

prune289.0ms (3.4%)

localize9.0ms (0.1%)

series37.0ms (0.4%)

rewrite59.0ms (0.7%)

simplify219.0ms (2.6%)

prune457.0ms (5.4%)

regimes1.5s (17.2%)

simplify2.0ms (0%)

end210.0ms (2.5%)

Profiling