Details

analyze2.5s (16.4%)

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)

sample8.1s (53.5%)

Results

4.6s	2094×	body	1024	valid
1.9s	4664×	body	128	valid
1.1s	948×	body	512	valid
403.0ms	541×	body	256	valid
36.0ms	9×	body	2048	valid

Compiler

Compiled 53 to 44 computations (17% saved)

simplify15.0ms (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

13.8b

Counts

3 → 1

Alt Table

Status	Error	Program
▶	13.8b	(/.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 4 expressions with local error:

New	Error	Program
✓	0.0b	(sin.f64 x)
✓	0.3b	(.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)))
✓	13.6b	(/.f64 (.f64 (sin.f64 (.f64 x 1/2)) (.f64 8/3 (sin.f64 (.f64 x 1/2)))) (sin.f64 x))

series64.0ms (0.4%)

Counts

4 → 40

Calls

4 calls:

37.0ms	(/.f64 (.f64 (sin.f64 (.f64 x 1/2)) (.f64 8/3 (sin.f64 (.f64 x 1/2)))) (sin.f64 x))
18.0ms	(.f64 (sin.f64 (.f64 x 1/2)) (.f64 8/3 (sin.f64 (.f64 x 1/2))))
6.0ms	(.f64 8/3 (sin.f64 (.f64 x 1/2)))
3.0ms	(sin.f64 x)

rewrite167.0ms (1.1%)

Algorithm

2×	batch-egg-rewrite

Rules

537×	`log-prod_binary64`
305×	`prod-diff_binary64`
185×	`expm1-udef_binary64`
185×	`log1p-udef_binary64`
168×	`pow3_binary64`

Counts

4 → 104

Calls

4 calls:

161.0ms	(sin.f64 x)
161.0ms	(.f64 (sin.f64 (.f64 x 1/2)) (.f64 8/3 (sin.f64 (.f64 x 1/2))))
161.0ms	(.f64 8/3 (sin.f64 (.f64 x 1/2)))
161.0ms	(/.f64 (.f64 (sin.f64 (.f64 x 1/2)) (.f64 8/3 (sin.f64 (.f64 x 1/2)))) (sin.f64 x))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	51
1	207	41
2	2551	41
3	4892	41
4	5204	41
0	0	0
1	0	0

simplify137.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

605×	`cancel-sign-sub-inv_binary64`
583×	`distribute-rgt-neg-in_binary64`
439×	`fma-neg_binary64`
387×	`unswap-sqr_binary64`
385×	`sub-neg_binary64`

Counts

144 → 140

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	71	554
1	188	546
2	492	538
3	1432	538
4	3036	538
5	4223	538
6	4785	538
7	4949	538

prune311.0ms (2.1%)

Pruning

15 alts after pruning (15 fresh and 0 done)

	Pruned	Kept	Total
New	125	15	140
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	126	15	141

Error

0.1b

Counts

141 → 15

Alt Table

Status	Error	Program
	20.1b	(/.f64 (.f64 (sin.f64 (.f64 x 1/2)) (cbrt.f64 (pow.f64 (.f64 (sin.f64 (.f64 x 1/2)) 8/3) 3))) (sin.f64 x))
▶	0.5b	(.f64 (/.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 x)) (.f64 (sin.f64 (.f64 x 1/2)) 8/3))
	13.8b	(/.f64 (.f64 (sin.f64 (.f64 x 1/2)) (.f64 8/3 (sin.f64 (.f64 x 1/2)))) (log1p.f64 (expm1.f64 (sin.f64 x))))
	28.4b	(/.f64 (.f64 (sin.f64 (.f64 x 1/2)) (log.f64 (+.f64 1 (expm1.f64 (.f64 (sin.f64 (.f64 x 1/2)) 8/3))))) (sin.f64 x))
	21.3b	(/.f64 (.f64 (sin.f64 (.f64 x 1/2)) (.f64 8/3 (sin.f64 (.f64 x 1/2)))) (cbrt.f64 (pow.f64 (sin.f64 x) 3)))
	30.2b	(.f64 (/.f64 (sin.f64 (.f64 x 1/2)) (sqrt.f64 (sin.f64 x))) (/.f64 (.f64 (sin.f64 (.f64 x 1/2)) 8/3) (sqrt.f64 (sin.f64 x))))
	30.1b	(/.f64 (.f64 (sin.f64 (.f64 x 1/2)) (.f64 8/3 (sin.f64 (.f64 x 1/2)))) (-.f64 (exp.f64 (log1p.f64 (sin.f64 x))) 1))
	35.6b	(/.f64 (.f64 (sin.f64 (.f64 x 1/2)) (sqrt.f64 (.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) 64/9))) (sin.f64 x))
	1.3b	(.f64 (/.f64 (sin.f64 (.f64 x 1/2)) (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) (/.f64 (.f64 (sin.f64 (.f64 x 1/2)) 8/3) (cbrt.f64 (sin.f64 x))))
	14.4b	(.f64 (cbrt.f64 (/.f64 (.f64 8/3 (pow.f64 (sin.f64 (.f64 x 1/2)) 2)) (sin.f64 x))) (pow.f64 (cbrt.f64 (/.f64 (.f64 8/3 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)) (sin.f64 x))) 2))
	15.3b	(/.f64 (exp.f64 (log.f64 (.f64 8/3 (pow.f64 (sin.f64 (.f64 x 1/2)) 2)))) (sin.f64 x))
	13.8b	(.f64 (.f64 8/3 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)) (/.f64 1 (sin.f64 x)))
	0.6b	(.f64 (.f64 (sin.f64 (.f64 x 1/2)) 8/3) (.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 1 (sin.f64 x))))
	1.4b	(.f64 (/.f64 (.f64 (sin.f64 (.f64 x 1/2)) 8/3) (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) (/.f64 (sin.f64 (.f64 x 1/2)) (cbrt.f64 (sin.f64 x))))
	14.5b	(/.f64 (.f64 (sin.f64 (.f64 x 1/2)) (pow.f64 (cbrt.f64 (.f64 (sin.f64 (.f64 x 1/2)) 8/3)) 3)) (sin.f64 x))

Compiler

Compiled 3073 to 2331 computations (24.1% saved)

localize21.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.0b	(sin.f64 x)
✓	0.1b	(/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x))
✓	0.2b	(.f64 (/.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 x)) (.f64 (sin.f64 (.f64 x 1/2)) 8/3))
✓	0.4b	(.f64 (sin.f64 (.f64 x 1/2)) 8/3)

series51.0ms (0.3%)

Counts

3 → 36

Calls

3 calls:

27.0ms	(.f64 (/.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 x)) (.f64 (sin.f64 (.f64 x 1/2)) 8/3))
18.0ms	(/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x))
5.0ms	(.f64 (sin.f64 (.f64 x 1/2)) 8/3)

rewrite145.0ms (1%)

Algorithm

2×	batch-egg-rewrite

Rules

531×	`log-prod_binary64`
293×	`prod-diff_binary64`
190×	`pow1/3_binary64`
187×	`expm1-udef_binary64`
187×	`log1p-udef_binary64`

Counts

3 → 85

Calls

3 calls:

141.0ms	(/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x))
141.0ms	(.f64 (/.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 x)) (.f64 (sin.f64 (.f64 x 1/2)) 8/3))
141.0ms	(.f64 (sin.f64 (.f64 x 1/2)) 8/3)

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	42
1	209	37
2	2529	37
3	4975	37
4	5243	37
0	0	0
1	0	0

simplify111.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

828×	`fma-def_binary64`
772×	`fma-neg_binary64`
538×	`cancel-sign-sub-inv_binary64`
518×	`unswap-sqr_binary64`
517×	`associate-l_binary64`

Counts

121 → 113

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	58	470
1	146	462
2	352	458
3	946	458
4	2728	458
5	4818	458
6	4928	458
7	4943	458

prune336.0ms (2.2%)

Pruning

14 alts after pruning (14 fresh and 0 done)

	Pruned	Kept	Total
New	137	6	143
Fresh	6	8	14
Picked	1	0	1
Done	0	0	0
Total	144	14	158

Error

0.0b

Counts

158 → 14

Alt Table

Status	Error	Program
	15.3b	(/.f64 (exp.f64 (log.f64 (.f64 8/3 (pow.f64 (sin.f64 (.f64 x 1/2)) 2)))) (sin.f64 x))
	0.5b	(.f64 (/.f64 (sin.f64 (.f64 x 1/2)) (expm1.f64 (log1p.f64 (sin.f64 x)))) (.f64 (sin.f64 (.f64 x 1/2)) 8/3))
	1.2b	(.f64 (pow.f64 (cbrt.f64 (/.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 x))) 3) (.f64 (sin.f64 (.f64 x 1/2)) 8/3))
	21.3b	(/.f64 (.f64 (sin.f64 (.f64 x 1/2)) (.f64 8/3 (sin.f64 (.f64 x 1/2)))) (cbrt.f64 (pow.f64 (sin.f64 x) 3)))
	30.2b	(.f64 (/.f64 (sin.f64 (.f64 x 1/2)) (sqrt.f64 (sin.f64 x))) (/.f64 (.f64 (sin.f64 (.f64 x 1/2)) 8/3) (sqrt.f64 (sin.f64 x))))
	30.1b	(/.f64 (.f64 (sin.f64 (.f64 x 1/2)) (.f64 8/3 (sin.f64 (.f64 x 1/2)))) (-.f64 (exp.f64 (log1p.f64 (sin.f64 x))) 1))
	35.6b	(/.f64 (.f64 (sin.f64 (.f64 x 1/2)) (sqrt.f64 (.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) 64/9))) (sin.f64 x))
	1.3b	(.f64 (/.f64 (sin.f64 (.f64 x 1/2)) (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) (/.f64 (.f64 (sin.f64 (.f64 x 1/2)) 8/3) (cbrt.f64 (sin.f64 x))))
	14.4b	(.f64 (cbrt.f64 (/.f64 (.f64 8/3 (pow.f64 (sin.f64 (.f64 x 1/2)) 2)) (sin.f64 x))) (pow.f64 (cbrt.f64 (/.f64 (.f64 8/3 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)) (sin.f64 x))) 2))
	13.8b	(.f64 (.f64 8/3 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)) (/.f64 1 (sin.f64 x)))
▶	0.5b	(.f64 (/.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 x)) (log1p.f64 (expm1.f64 (.f64 (sin.f64 (.f64 x 1/2)) 8/3))))
	20.1b	(.f64 (/.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 x)) (cbrt.f64 (pow.f64 (.f64 (sin.f64 (.f64 x 1/2)) 8/3) 3)))
	30.1b	(.f64 (/.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 x)) (pow.f64 (sqrt.f64 (.f64 (sin.f64 (.f64 x 1/2)) 8/3)) 2))
	13.8b	(/.f64 1 (/.f64 (sin.f64 x) (.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) 8/3)))

Compiler

Compiled 3126 to 2369 computations (24.2% saved)

localize24.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(log1p.f64 (expm1.f64 (.f64 (sin.f64 (.f64 x 1/2)) 8/3)))
✓	0.2b	(expm1.f64 (.f64 (sin.f64 (.f64 x 1/2)) 8/3))
✓	0.2b	(.f64 (/.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 x)) (log1p.f64 (expm1.f64 (.f64 (sin.f64 (.f64 x 1/2)) 8/3))))
	0.4b	(.f64 (sin.f64 (.f64 x 1/2)) 8/3)

series51.0ms (0.3%)

Counts

3 → 36

Calls

3 calls:

34.0ms

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

10.0ms

(expm1.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) 8/3))

6.0ms

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

rewrite142.0ms (0.9%)

Algorithm

2×	batch-egg-rewrite

Rules

554×	`log-prod_binary64`
304×	`prod-diff_binary64`
200×	`expm1-udef_binary64`
200×	`log1p-udef_binary64`
176×	`log-pow_binary64`

Counts

3 → 81

Calls

3 calls:

139.0ms

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

139.0ms

(expm1.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) 8/3))

139.0ms

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	42
1	226	37
2	2675	37
3	4914	37
4	5133	37
0	0	0
1	0	0

simplify143.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

843×	`fma-def_binary64`
745×	`fma-neg_binary64`
538×	`cancel-sign-sub-inv_binary64`
349×	`associate-l_binary64`
320×	`distribute-rgt-neg-in_binary64`

Counts

117 → 107

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	57	476
1	149	472
2	355	467
3	942	459
4	2635	459
5	4168	459
6	4884	459
7	4968	459
8	4905	459

prune264.0ms (1.7%)

Pruning

13 alts after pruning (12 fresh and 1 done)

	Pruned	Kept	Total
New	131	1	132
Fresh	2	11	13
Picked	0	1	1
Done	0	0	0
Total	133	13	146

Error

0.0b

Counts

146 → 13

Alt Table

Status	Error	Program
	15.3b	(/.f64 (exp.f64 (log.f64 (.f64 8/3 (pow.f64 (sin.f64 (.f64 x 1/2)) 2)))) (sin.f64 x))
▶	0.5b	(.f64 (/.f64 (sin.f64 (.f64 x 1/2)) (expm1.f64 (log1p.f64 (sin.f64 x)))) (.f64 (sin.f64 (.f64 x 1/2)) 8/3))
	1.2b	(.f64 (pow.f64 (cbrt.f64 (/.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 x))) 3) (.f64 (sin.f64 (.f64 x 1/2)) 8/3))
	21.3b	(/.f64 (.f64 (sin.f64 (.f64 x 1/2)) (.f64 8/3 (sin.f64 (.f64 x 1/2)))) (cbrt.f64 (pow.f64 (sin.f64 x) 3)))
	1.4b	(.f64 (/.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 x)) (.f64 (pow.f64 (cbrt.f64 (sin.f64 (.f64 x 1/2))) 2) (.f64 (cbrt.f64 (sin.f64 (.f64 x 1/2))) 8/3)))
	30.1b	(/.f64 (.f64 (sin.f64 (.f64 x 1/2)) (.f64 8/3 (sin.f64 (.f64 x 1/2)))) (-.f64 (exp.f64 (log1p.f64 (sin.f64 x))) 1))
	14.4b	(.f64 (cbrt.f64 (/.f64 (.f64 8/3 (pow.f64 (sin.f64 (.f64 x 1/2)) 2)) (sin.f64 x))) (pow.f64 (cbrt.f64 (/.f64 (.f64 8/3 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)) (sin.f64 x))) 2))
	13.8b	(.f64 (.f64 8/3 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)) (/.f64 1 (sin.f64 x)))
✓	0.5b	(.f64 (/.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 x)) (log1p.f64 (expm1.f64 (.f64 (sin.f64 (.f64 x 1/2)) 8/3))))
	20.1b	(.f64 (/.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 x)) (cbrt.f64 (pow.f64 (.f64 (sin.f64 (.f64 x 1/2)) 8/3) 3)))
	30.1b	(.f64 (/.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 x)) (pow.f64 (sqrt.f64 (.f64 (sin.f64 (.f64 x 1/2)) 8/3)) 2))
	1.3b	(.f64 (/.f64 (sin.f64 (.f64 x 1/2)) (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) (/.f64 (.f64 (sin.f64 (.f64 x 1/2)) 8/3) (cbrt.f64 (sin.f64 x))))
	13.8b	(/.f64 1 (/.f64 (sin.f64 x) (.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) 8/3)))

Compiler

Compiled 3047 to 2386 computations (21.7% saved)

localize22.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(/.f64 (sin.f64 (*.f64 x 1/2)) (expm1.f64 (log1p.f64 (sin.f64 x))))
✓	0.2b	(.f64 (/.f64 (sin.f64 (.f64 x 1/2)) (expm1.f64 (log1p.f64 (sin.f64 x)))) (.f64 (sin.f64 (.f64 x 1/2)) 8/3))
✓	0.2b	(log1p.f64 (sin.f64 x))
	0.4b	(.f64 (sin.f64 (.f64 x 1/2)) 8/3)

series442.0ms (2.9%)

Counts

3 → 36

Calls

3 calls:

391.0ms

(log1p.f64 (sin.f64 x))

34.0ms

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

17.0ms

(/.f64 (sin.f64 (*.f64 x 1/2)) (expm1.f64 (log1p.f64 (sin.f64 x))))

rewrite167.0ms (1.1%)

Algorithm

2×	batch-egg-rewrite

Rules

569×	`log-prod_binary64`
328×	`prod-diff_binary64`
202×	`expm1-udef_binary64`
202×	`log1p-udef_binary64`
177×	`log-pow_binary64`

Counts

3 → 85

Calls

3 calls:

161.0ms

(/.f64 (sin.f64 (*.f64 x 1/2)) (expm1.f64 (log1p.f64 (sin.f64 x))))

161.0ms

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

161.0ms

(log1p.f64 (sin.f64 x))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	38
1	228	33
2	2722	33
3	4993	33
4	5260	33
0	0	0
1	0	0

simplify119.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

754×	`fma-def_binary64`
574×	`associate-l_binary64`
518×	`unswap-sqr_binary64`
437×	`associate-r_binary64`
360×	`distribute-rgt-neg-in_binary64`

Counts

121 → 113

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	59	426
1	148	422
2	354	416
3	967	408
4	2955	408
5	4830	408
6	4932	408

prune251.0ms (1.7%)

Pruning

13 alts after pruning (11 fresh and 2 done)

	Pruned	Kept	Total
New	137	1	138
Fresh	1	10	11
Picked	0	1	1
Done	0	1	1
Total	138	13	151

Error

0.0b

Counts

151 → 13

Alt Table

Status	Error	Program
	15.3b	(/.f64 (exp.f64 (log.f64 (.f64 8/3 (pow.f64 (sin.f64 (.f64 x 1/2)) 2)))) (sin.f64 x))
✓	0.5b	(.f64 (/.f64 (sin.f64 (.f64 x 1/2)) (expm1.f64 (log1p.f64 (sin.f64 x)))) (.f64 (sin.f64 (.f64 x 1/2)) 8/3))
	8.7b	(.f64 (/.f64 (sin.f64 (.f64 x 1/2)) (expm1.f64 (expm1.f64 (log1p.f64 (log1p.f64 (sin.f64 x)))))) (.f64 (sin.f64 (.f64 x 1/2)) 8/3))
	30.1b	(.f64 (/.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 x)) (pow.f64 (sqrt.f64 (.f64 (sin.f64 (.f64 x 1/2)) 8/3)) 2))
	1.2b	(.f64 (pow.f64 (cbrt.f64 (/.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 x))) 3) (.f64 (sin.f64 (.f64 x 1/2)) 8/3))
	21.3b	(/.f64 (.f64 (sin.f64 (.f64 x 1/2)) (.f64 8/3 (sin.f64 (.f64 x 1/2)))) (cbrt.f64 (pow.f64 (sin.f64 x) 3)))
	1.4b	(.f64 (/.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 x)) (.f64 (pow.f64 (cbrt.f64 (sin.f64 (.f64 x 1/2))) 2) (.f64 (cbrt.f64 (sin.f64 (.f64 x 1/2))) 8/3)))
	30.1b	(/.f64 (.f64 (sin.f64 (.f64 x 1/2)) (.f64 8/3 (sin.f64 (.f64 x 1/2)))) (-.f64 (exp.f64 (log1p.f64 (sin.f64 x))) 1))
	14.4b	(.f64 (cbrt.f64 (/.f64 (.f64 8/3 (pow.f64 (sin.f64 (.f64 x 1/2)) 2)) (sin.f64 x))) (pow.f64 (cbrt.f64 (/.f64 (.f64 8/3 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)) (sin.f64 x))) 2))
	13.8b	(.f64 (.f64 8/3 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)) (/.f64 1 (sin.f64 x)))
✓	0.5b	(.f64 (/.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 x)) (log1p.f64 (expm1.f64 (.f64 (sin.f64 (.f64 x 1/2)) 8/3))))
	20.1b	(.f64 (/.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 x)) (cbrt.f64 (pow.f64 (.f64 (sin.f64 (.f64 x 1/2)) 8/3) 3)))
	1.3b	(.f64 (/.f64 (sin.f64 (.f64 x 1/2)) (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) (/.f64 (.f64 (sin.f64 (.f64 x 1/2)) 8/3) (cbrt.f64 (sin.f64 x))))

Compiler

Compiled 2851 to 2114 computations (25.9% saved)

regimes1.1s (6.9%)

Accuracy

Total 0.4b remaining (84.9%)

Threshold costs 0.4b (84.9%)

Counts

217 → 1

Compiler

Compiled 7640 to 6338 computations (17% saved)

simplify5.0ms (0%)

Algorithm

1×	egg-herbie

Rules

4×	`*-commutative_binary64`
1×	`*-lft-identity_binary64`
1×	`1-exp_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	22
1	18	22
2	17	22

end503.0ms (3.3%)

Compiler: Compiled 276 to 227 computations (17.8% saved)

Details

analyze2.5s (16.4%)

sample8.1s (53.5%)

simplify15.0ms (0.1%)

prune6.0ms (0%)

localize15.0ms (0.1%)

series64.0ms (0.4%)

rewrite167.0ms (1.1%)

simplify137.0ms (0.9%)

prune311.0ms (2.1%)

localize21.0ms (0.1%)

series51.0ms (0.3%)

rewrite145.0ms (1%)

simplify111.0ms (0.7%)

prune336.0ms (2.2%)

localize24.0ms (0.2%)

series51.0ms (0.3%)

rewrite142.0ms (0.9%)

simplify143.0ms (0.9%)

prune264.0ms (1.7%)

localize22.0ms (0.1%)

series442.0ms (2.9%)

rewrite167.0ms (1.1%)

simplify119.0ms (0.8%)

prune251.0ms (1.7%)

regimes1.1s (6.9%)

simplify5.0ms (0%)

end503.0ms (3.3%)

Profiling