Details

analyze1.4s (15.9%)

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)

sample4.7s (54.4%)

Results

2.4s	2098×	body	1024	valid
1.3s	4607×	body	128	valid
659.0ms	998×	body	512	valid
253.0ms	544×	body	256	valid
16.0ms	9×	body	2048	valid

Compiler

Compiled 53 to 44 computations (17% saved)

simplify8.0ms (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`

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

Stop Event

1×

saturated

Counts

1 → 2

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

13.6b

Counts

3 → 1

Alt Table

Status	Error	Program
▶	13.6b	(/.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)

localize35.0ms (0.4%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(sin.f64 x)
✓	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)))
✓	13.4b	(/.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

4 → 40

Calls

4 calls:

11.0ms	(/.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))))
5.0ms	(.f64 8/3 (sin.f64 (.f64 x 1/2)))
1.0ms	(sin.f64 x)

rewrite103.0ms (1.2%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

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

Stop Event

1×	node limit

Counts

4 → 104

Calls

4 calls:

100.0ms	(sin.f64 x)
100.0ms	(.f64 (sin.f64 (.f64 x 1/2)) (.f64 8/3 (sin.f64 (.f64 x 1/2))))
100.0ms	(.f64 8/3 (sin.f64 (.f64 x 1/2)))
100.0ms	(/.f64 (.f64 (sin.f64 (.f64 x 1/2)) (.f64 8/3 (sin.f64 (.f64 x 1/2)))) (sin.f64 x))

simplify101.0ms (1.2%)

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`

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

Stop Event

1×	node limit

Counts

144 → 140

prune155.0ms (1.8%)

Pruning

13 alts after pruning (13 fresh and 0 done)

	Pruned	Kept	Total
New	127	13	140
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	128	13	141

Error

0.1b

Counts

141 → 13

Alt Table

Status	Error	Program
	36.7b	(/.f64 (.f64 (sin.f64 (.f64 x 1/2)) (.f64 8/3 (sin.f64 (.f64 x 1/2)))) (pow.f64 (sqrt.f64 (sin.f64 x)) 2))
	14.3b	(.f64 (/.f64 1 (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) (/.f64 (.f64 8/3 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)) (cbrt.f64 (sin.f64 x))))
	14.3b	(/.f64 (pow.f64 (cbrt.f64 (.f64 8/3 (pow.f64 (sin.f64 (.f64 x 1/2)) 2))) 3) (sin.f64 x))
	14.2b	(/.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))
▶	0.5b	(.f64 (/.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 x)) (.f64 (sin.f64 (.f64 x 1/2)) 8/3))
	20.6b	(/.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)))
	14.3b	(.f64 (/.f64 (pow.f64 (cbrt.f64 (.f64 8/3 (pow.f64 (sin.f64 (.f64 x 1/2)) 2))) 2) (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) (cbrt.f64 (/.f64 (.f64 8/3 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)) (sin.f64 x))))
	26.3b	(/.f64 (pow.f64 (pow.f64 (.f64 8/3 (pow.f64 (sin.f64 (.f64 x 1/2)) 2)) 3) 1/3) (sin.f64 x))
	31.1b	(.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))))
	1.4b	(.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))))
	13.6b	(.f64 (.f64 8/3 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)) (/.f64 1 (sin.f64 x)))
	13.7b	(.f64 (/.f64 (sqrt.f64 (.f64 8/3 (pow.f64 (sin.f64 (.f64 x 1/2)) 2))) 1) (/.f64 (sqrt.f64 (.f64 8/3 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2))) (sin.f64 x)))
	30.9b	(+.f64 (log.f64 (.f64 (cbrt.f64 (exp.f64 (/.f64 (.f64 8/3 (pow.f64 (sin.f64 (.f64 x 1/2)) 2)) (sin.f64 x)))) (cbrt.f64 (exp.f64 (/.f64 (.f64 8/3 (pow.f64 (sin.f64 (.f64 x 1/2)) 2)) (sin.f64 x)))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (.f64 8/3 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)) (sin.f64 x))))))

Compiler

Compiled 3069 to 2333 computations (24% saved)

localize11.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.0b	(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))
✓	0.2b	(/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x))
✓	0.3b	(.f64 (sin.f64 (.f64 x 1/2)) 8/3)

series43.0ms (0.5%)

Counts

3 → 36

Calls

3 calls:

34.0ms	(.f64 (/.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 x)) (.f64 (sin.f64 (.f64 x 1/2)) 8/3))
6.0ms	(/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x))
3.0ms	(.f64 (sin.f64 (.f64 x 1/2)) 8/3)

rewrite103.0ms (1.2%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

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

Stop Event

1×	node limit

Counts

3 → 85

Calls

3 calls:

101.0ms	(.f64 (/.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 x)) (.f64 (sin.f64 (.f64 x 1/2)) 8/3))
101.0ms	(/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x))
101.0ms	(.f64 (sin.f64 (.f64 x 1/2)) 8/3)

simplify87.0ms (1%)

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`

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

Stop Event

1×	node limit

Counts

121 → 113

prune154.0ms (1.8%)

Pruning

11 alts after pruning (11 fresh and 0 done)

	Pruned	Kept	Total
New	137	6	143
Fresh	7	5	12
Picked	1	0	1
Done	0	0	0
Total	145	11	156

Error

0.0b

Counts

156 → 11

Alt Table

Status	Error	Program
	19.4b	(cbrt.f64 (pow.f64 (.f64 8/3 (/.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (sin.f64 x))) 3))
	13.7b	(.f64 (/.f64 (sqrt.f64 (.f64 8/3 (pow.f64 (sin.f64 (.f64 x 1/2)) 2))) 1) (/.f64 (sqrt.f64 (.f64 8/3 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2))) (sin.f64 x)))
	1.4b	(.f64 (/.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 x)) (pow.f64 (cbrt.f64 (.f64 (sin.f64 (.f64 x 1/2)) 8/3)) 3))
	20.6b	(/.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)))
	26.3b	(/.f64 (pow.f64 (pow.f64 (.f64 8/3 (pow.f64 (sin.f64 (.f64 x 1/2)) 2)) 3) 1/3) (sin.f64 x))
	31.1b	(.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))))
	1.4b	(.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))))
▶	0.5b	(/.f64 (.f64 (sin.f64 (.f64 x 1/2)) 8/3) (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2))))
	6.9b	(.f64 (expm1.f64 (log1p.f64 (/.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 x)))) (.f64 (sin.f64 (.f64 x 1/2)) 8/3))
	0.5b	(.f64 (/.f64 (sin.f64 (.f64 x 1/2)) (log1p.f64 (expm1.f64 (sin.f64 x)))) (.f64 (sin.f64 (.f64 x 1/2)) 8/3))
	1.0b	(.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))

Compiler

Compiled 3018 to 2281 computations (24.4% saved)

localize11.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.0b	(sin.f64 x)
✓	0.2b	(/.f64 (.f64 (sin.f64 (.f64 x 1/2)) 8/3) (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2))))
✓	0.2b	(/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2)))
	0.3b	(.f64 (sin.f64 (.f64 x 1/2)) 8/3)

series34.0ms (0.4%)

Counts

2 → 24

Calls

2 calls:

27.0ms	(/.f64 (.f64 (sin.f64 (.f64 x 1/2)) 8/3) (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2))))
7.0ms	(/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2)))

rewrite73.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

588×	`log-prod_binary64`
193×	`expm1-udef_binary64`
193×	`log1p-udef_binary64`
191×	`prod-diff_binary64`
167×	`log-pow_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	33
1	215	33
2	2815	33
3	5167	33

Stop Event

1×	node limit

Counts

2 → 92

Calls

2 calls:

69.0ms	(/.f64 (.f64 (sin.f64 (.f64 x 1/2)) 8/3) (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2))))
69.0ms	(/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2)))

simplify74.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

645×	`distribute-rgt-neg-in_binary64`
533×	`distribute-lft-neg-in_binary64`
518×	`unswap-sqr_binary64`
508×	`associate-l_binary64`
464×	`fma-def_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	46	334
1	116	334
2	275	330
3	757	328
4	2561	328
5	4631	328
6	5038	328

Stop Event

1×	node limit

Counts

116 → 111

prune271.0ms (3.1%)

Pruning

12 alts after pruning (11 fresh and 1 done)

	Pruned	Kept	Total
New	163	3	166
Fresh	2	8	10
Picked	0	1	1
Done	0	0	0
Total	165	12	177

Error

0.0b

Counts

177 → 12

Alt Table

Status	Error	Program
	19.4b	(cbrt.f64 (pow.f64 (.f64 8/3 (/.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (sin.f64 x))) 3))
	13.7b	(.f64 (/.f64 (sqrt.f64 (.f64 8/3 (pow.f64 (sin.f64 (.f64 x 1/2)) 2))) 1) (/.f64 (sqrt.f64 (.f64 8/3 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2))) (sin.f64 x)))
	20.2b	(.f64 (/.f64 (pow.f64 (cbrt.f64 (.f64 (sin.f64 (.f64 x 1/2)) 8/3)) 2) (sqrt.f64 (/.f64 (sin.f64 x) (sin.f64 (.f64 x 1/2))))) (/.f64 (cbrt.f64 (.f64 (sin.f64 (.f64 x 1/2)) 8/3)) (sqrt.f64 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2))))))
	1.4b	(.f64 (/.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 x)) (pow.f64 (cbrt.f64 (.f64 (sin.f64 (.f64 x 1/2)) 8/3)) 3))
	20.6b	(/.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)))
	1.0b	(/.f64 (.f64 (sin.f64 (.f64 x 1/2)) 8/3) (+.f64 (log.f64 (.f64 (cbrt.f64 (exp.f64 (/.f64 (sin.f64 x) (sin.f64 (.f64 x 1/2))))) (cbrt.f64 (exp.f64 (/.f64 (sin.f64 x) (sin.f64 (.f64 x 1/2))))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (sin.f64 x) (sin.f64 (.f64 x 1/2))))))))
	26.3b	(/.f64 (pow.f64 (pow.f64 (.f64 8/3 (pow.f64 (sin.f64 (.f64 x 1/2)) 2)) 3) 1/3) (sin.f64 x))
	31.1b	(.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))))
	1.4b	(.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))))
✓	0.5b	(/.f64 (.f64 (sin.f64 (.f64 x 1/2)) 8/3) (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2))))
	13.2b	(/.f64 (.f64 (sin.f64 (.f64 x 1/2)) 8/3) (expm1.f64 (log1p.f64 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2))))))
▶	0.5b	(.f64 (/.f64 (sin.f64 (.f64 x 1/2)) (log1p.f64 (expm1.f64 (sin.f64 x)))) (.f64 (sin.f64 (.f64 x 1/2)) 8/3))

Compiler

Compiled 3762 to 2840 computations (24.5% saved)

localize14.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(.f64 (/.f64 (sin.f64 (.f64 x 1/2)) (log1p.f64 (expm1.f64 (sin.f64 x)))) (.f64 (sin.f64 (.f64 x 1/2)) 8/3))
✓	0.2b	(log1p.f64 (expm1.f64 (sin.f64 x)))
✓	0.2b	(/.f64 (sin.f64 (*.f64 x 1/2)) (log1p.f64 (expm1.f64 (sin.f64 x))))
	0.3b	(.f64 (sin.f64 (.f64 x 1/2)) 8/3)

series22.0ms (0.3%)

Counts

3 → 36

Calls

3 calls:

14.0ms

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

7.0ms

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

2.0ms

(log1p.f64 (expm1.f64 (sin.f64 x)))

rewrite110.0ms (1.3%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	12	36
1	228	31
2	2720	31
3	4993	31
4	5260	31

Stop Event

1×	node limit

Counts

3 → 88

Calls

3 calls:

108.0ms

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

108.0ms

(log1p.f64 (expm1.f64 (sin.f64 x)))

108.0ms

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

simplify79.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

805×	`fma-def_binary64`
730×	`fma-neg_binary64`
547×	`associate-l_binary64`
518×	`unswap-sqr_binary64`
502×	`cancel-sign-sub-inv_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	57	410
1	143	406
2	357	400
3	959	398
4	2758	398
5	4860	398
6	4905	398
7	4926	398

Stop Event

1×	node limit

Counts

124 → 112

prune131.0ms (1.5%)

Pruning

12 alts after pruning (10 fresh and 2 done)

	Pruned	Kept	Total
New	137	0	137
Fresh	0	10	10
Picked	0	1	1
Done	0	1	1
Total	137	12	149

Error

0.0b

Counts

149 → 12

Alt Table

Status	Error	Program
	19.4b	(cbrt.f64 (pow.f64 (.f64 8/3 (/.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (sin.f64 x))) 3))
	13.7b	(.f64 (/.f64 (sqrt.f64 (.f64 8/3 (pow.f64 (sin.f64 (.f64 x 1/2)) 2))) 1) (/.f64 (sqrt.f64 (.f64 8/3 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2))) (sin.f64 x)))
	20.2b	(.f64 (/.f64 (pow.f64 (cbrt.f64 (.f64 (sin.f64 (.f64 x 1/2)) 8/3)) 2) (sqrt.f64 (/.f64 (sin.f64 x) (sin.f64 (.f64 x 1/2))))) (/.f64 (cbrt.f64 (.f64 (sin.f64 (.f64 x 1/2)) 8/3)) (sqrt.f64 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2))))))
	1.4b	(.f64 (/.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 x)) (pow.f64 (cbrt.f64 (.f64 (sin.f64 (.f64 x 1/2)) 8/3)) 3))
	20.6b	(/.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)))
	1.0b	(/.f64 (.f64 (sin.f64 (.f64 x 1/2)) 8/3) (+.f64 (log.f64 (.f64 (cbrt.f64 (exp.f64 (/.f64 (sin.f64 x) (sin.f64 (.f64 x 1/2))))) (cbrt.f64 (exp.f64 (/.f64 (sin.f64 x) (sin.f64 (.f64 x 1/2))))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (sin.f64 x) (sin.f64 (.f64 x 1/2))))))))
	26.3b	(/.f64 (pow.f64 (pow.f64 (.f64 8/3 (pow.f64 (sin.f64 (.f64 x 1/2)) 2)) 3) 1/3) (sin.f64 x))
	31.1b	(.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))))
	1.4b	(.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))))
✓	0.5b	(/.f64 (.f64 (sin.f64 (.f64 x 1/2)) 8/3) (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2))))
	13.2b	(/.f64 (.f64 (sin.f64 (.f64 x 1/2)) 8/3) (expm1.f64 (log1p.f64 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2))))))
✓	0.5b	(.f64 (/.f64 (sin.f64 (.f64 x 1/2)) (log1p.f64 (expm1.f64 (sin.f64 x)))) (.f64 (sin.f64 (.f64 x 1/2)) 8/3))

Compiler

Compiled 2845 to 2096 computations (26.3% saved)

regimes626.0ms (7.2%)

Accuracy

Total 0.4b remaining (86.4%)

Threshold costs 0.4b (86.4%)

Counts

213 → 1

Compiler

Compiled 7590 to 6240 computations (17.8% saved)

simplify5.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

2×	`*-commutative_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	22
1	12	22
2	12	22

Stop Event

1×

saturated

end296.0ms (3.4%)

Compiler: Compiled 288 to 232 computations (19.4% saved)

Details

analyze1.4s (15.9%)

sample4.7s (54.4%)

simplify8.0ms (0.1%)

prune3.0ms (0%)

localize35.0ms (0.4%)

series22.0ms (0.3%)

rewrite103.0ms (1.2%)

simplify101.0ms (1.2%)

prune155.0ms (1.8%)

localize11.0ms (0.1%)

series43.0ms (0.5%)

rewrite103.0ms (1.2%)

simplify87.0ms (1%)

prune154.0ms (1.8%)

localize11.0ms (0.1%)

series34.0ms (0.4%)

rewrite73.0ms (0.8%)

simplify74.0ms (0.9%)

prune271.0ms (3.1%)

localize14.0ms (0.2%)

series22.0ms (0.3%)

rewrite110.0ms (1.3%)

simplify79.0ms (0.9%)

prune131.0ms (1.5%)

regimes626.0ms (7.2%)

simplify5.0ms (0.1%)

end296.0ms (3.4%)

Profiling