Details

analyze1.2s (16.1%)

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)

sample3.6s (48.9%)

Results

2.0s	2072×	body	1024	valid
870.0ms	4661×	body	128	valid
527.0ms	1023×	body	512	valid
179.0ms	491×	body	256	valid
16.0ms	9×	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

14.9b

Counts

3 → 1

Alt Table

Status	Error	Program
▶	14.9b	(/.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)

localize10.0ms (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))))
✓	0.3b	(.f64 8/3 (sin.f64 (.f64 x 1/2)))
✓	14.7b	(/.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)

rewrite97.0ms (1.3%)

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 → 108

Calls

4 calls:

95.0ms	(sin.f64 x)
95.0ms	(.f64 (sin.f64 (.f64 x 1/2)) (.f64 8/3 (sin.f64 (.f64 x 1/2))))
95.0ms	(.f64 8/3 (sin.f64 (.f64 x 1/2)))
95.0ms	(/.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

simplify98.0ms (1.3%)

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

148 → 143

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

prune137.0ms (1.9%)

Pruning

16 alts after pruning (16 fresh and 0 done)

	Pruned	Kept	Total
New	127	16	143
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	128	16	144

Error

0.0b

Counts

144 → 16

Alt Table

Status	Error	Program
	14.9b	(/.f64 (.f64 (sin.f64 (.f64 x 1/2)) (.f64 8/3 (sin.f64 (.f64 x 1/2)))) (log1p.f64 (expm1.f64 (sin.f64 x))))
	15.0b	(/.f64 (.f64 (sin.f64 (.f64 x 1/2)) (log1p.f64 (expm1.f64 (.f64 (sin.f64 (.f64 x 1/2)) 8/3)))) (sin.f64 x))
	22.7b	(/.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)))
▶	0.5b	(.f64 (/.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 x)) (.f64 (sin.f64 (.f64 x 1/2)) 8/3))
	40.7b	(/.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))
	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))))
	14.9b	(.f64 8/3 (/.f64 (pow.f64 (sin.f64 (.f64 1/2 x)) 2) (sin.f64 x)))
	15.5b	(/.f64 (.f64 (sin.f64 (.f64 x 1/2)) (.f64 8/3 (sin.f64 (.f64 x 1/2)))) (pow.f64 (cbrt.f64 (sin.f64 x)) 3))
	15.5b	(/.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))
	15.6b	(/.f64 (pow.f64 (cbrt.f64 (.f64 8/3 (pow.f64 (sin.f64 (.f64 x 1/2)) 2))) 3) (sin.f64 x))
	15.5b	(.f64 (/.f64 (sqrt.f64 (.f64 8/3 (pow.f64 (sin.f64 (.f64 x 1/2)) 2))) (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) (/.f64 (sqrt.f64 (.f64 8/3 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2))) (cbrt.f64 (sin.f64 x))))
	27.0b	(/.f64 (.f64 (sin.f64 (.f64 x 1/2)) (expm1.f64 (log1p.f64 (.f64 (sin.f64 (.f64 x 1/2)) 8/3)))) (sin.f64 x))
	33.8b	(.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))))
	15.0b	(.f64 (sqrt.f64 (.f64 8/3 (pow.f64 (sin.f64 (.f64 x 1/2)) 2))) (.f64 (sqrt.f64 (.f64 8/3 (pow.f64 (sin.f64 (.f64 x 1/2)) 2))) (/.f64 1 (sin.f64 x))))
	15.6b	(pow.f64 (cbrt.f64 (/.f64 (.f64 8/3 (pow.f64 (sin.f64 (.f64 x 1/2)) 2)) (sin.f64 x))) 3)
	30.7b	(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (.f64 8/3 (pow.f64 (sin.f64 (.f64 x 1/2)) 2)) (sin.f64 x))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (.f64 8/3 (pow.f64 (sin.f64 (.f64 x 1/2)) 2)) (sin.f64 x))))))

Compiler

Compiled 3168 to 2411 computations (23.9% saved)

localize10.0ms (0.1%)

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

series20.0ms (0.3%)

Counts

3 → 36

Calls

3 calls:

11.0ms	(.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))
2.0ms	(.f64 (sin.f64 (.f64 x 1/2)) 8/3)

rewrite94.0ms (1.3%)

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 → 88

Calls

3 calls:

92.0ms	(/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x))
92.0ms	(.f64 (/.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 x)) (.f64 (sin.f64 (.f64 x 1/2)) 8/3))
92.0ms	(.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

simplify76.0ms (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`

Counts

124 → 114

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

prune150.0ms (2%)

Pruning

12 alts after pruning (12 fresh and 0 done)

	Pruned	Kept	Total
New	140	5	145
Fresh	8	7	15
Picked	1	0	1
Done	0	0	0
Total	149	12	161

Error

0.0b

Counts

161 → 12

Alt Table

Status	Error	Program
	1.1b	(.f64 (.f64 (cbrt.f64 (/.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 x))) (pow.f64 (cbrt.f64 (/.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 x))) 2)) (.f64 (sin.f64 (.f64 x 1/2)) 8/3))
	15.0b	(/.f64 (.f64 (sin.f64 (.f64 x 1/2)) (log1p.f64 (expm1.f64 (.f64 (sin.f64 (.f64 x 1/2)) 8/3)))) (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))))
	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))))
	14.9b	(.f64 8/3 (/.f64 (pow.f64 (sin.f64 (.f64 1/2 x)) 2) (sin.f64 x)))
	15.5b	(/.f64 (/.f64 (.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) 8/3) (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) (cbrt.f64 (sin.f64 x)))
	33.8b	(.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))))
	15.5b	(/.f64 (.f64 (sin.f64 (.f64 x 1/2)) (.f64 8/3 (sin.f64 (.f64 x 1/2)))) (pow.f64 (cbrt.f64 (sin.f64 x)) 3))
	15.0b	(.f64 (sqrt.f64 (.f64 8/3 (pow.f64 (sin.f64 (.f64 x 1/2)) 2))) (.f64 (sqrt.f64 (.f64 8/3 (pow.f64 (sin.f64 (.f64 x 1/2)) 2))) (/.f64 1 (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))
	15.5b	(pow.f64 (cbrt.f64 (.f64 8/3 (/.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (sin.f64 x)))) 3)
	30.7b	(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (.f64 8/3 (pow.f64 (sin.f64 (.f64 x 1/2)) 2)) (sin.f64 x))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (.f64 8/3 (pow.f64 (sin.f64 (.f64 x 1/2)) 2)) (sin.f64 x))))))

Compiler

Compiled 3120 to 2355 computations (24.5% saved)

localize8.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.0b	(sin.f64 x)
✓	0.1b	(/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2)))
✓	0.2b	(/.f64 (.f64 (sin.f64 (.f64 x 1/2)) 8/3) (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2))))
	0.3b	(.f64 (sin.f64 (.f64 x 1/2)) 8/3)

series24.0ms (0.3%)

Counts

2 → 24

Calls

2 calls:

15.0ms	(/.f64 (.f64 (sin.f64 (.f64 x 1/2)) 8/3) (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2))))
9.0ms	(/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2)))

rewrite64.0ms (0.9%)

Algorithm

2×	batch-egg-rewrite

Rules

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

Counts

2 → 94

Calls

2 calls:

62.0ms	(/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2)))
62.0ms	(/.f64 (.f64 (sin.f64 (.f64 x 1/2)) 8/3) (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2))))

Iterations

Useful iterations: 0 (0.0ms)

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

simplify68.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

647×	`distribute-rgt-neg-in_binary64`
534×	`distribute-lft-neg-in_binary64`
518×	`unswap-sqr_binary64`
509×	`associate-l_binary64`
464×	`fma-def_binary64`

Counts

118 → 111

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	46	334
1	116	334
2	275	330
3	757	328
4	2560	328
5	4631	328
6	5038	328

prune174.0ms (2.4%)

Pruning

12 alts after pruning (11 fresh and 1 done)

	Pruned	Kept	Total
New	166	2	168
Fresh	2	9	11
Picked	0	1	1
Done	0	0	0
Total	168	12	180

Error

0.0b

Counts

180 → 12

Alt Table

Status	Error	Program
	1.1b	(.f64 (.f64 (cbrt.f64 (/.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 x))) (pow.f64 (cbrt.f64 (/.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 x))) 2)) (.f64 (sin.f64 (.f64 x 1/2)) 8/3))
	15.0b	(/.f64 (.f64 (sin.f64 (.f64 x 1/2)) (log1p.f64 (expm1.f64 (.f64 (sin.f64 (.f64 x 1/2)) 8/3)))) (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))))
	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))))
	14.9b	(.f64 8/3 (/.f64 (pow.f64 (sin.f64 (.f64 1/2 x)) 2) (sin.f64 x)))
	1.4b	(/.f64 (.f64 (sin.f64 (.f64 x 1/2)) 8/3) (/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 3) (sin.f64 (*.f64 x 1/2))))
	15.0b	(.f64 (sqrt.f64 (.f64 8/3 (pow.f64 (sin.f64 (.f64 x 1/2)) 2))) (.f64 (sqrt.f64 (.f64 8/3 (pow.f64 (sin.f64 (.f64 x 1/2)) 2))) (/.f64 1 (sin.f64 x))))
	15.5b	(/.f64 (/.f64 (.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) 8/3) (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) (cbrt.f64 (sin.f64 x)))
▶	0.5b	(.f64 (/.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 x)) (/.f64 8/3 (/.f64 1 (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))
	15.5b	(pow.f64 (cbrt.f64 (.f64 8/3 (/.f64 (pow.f64 (sin.f64 (.f64 x 1/2)) 2) (sin.f64 x)))) 3)
	30.7b	(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (.f64 8/3 (pow.f64 (sin.f64 (.f64 x 1/2)) 2)) (sin.f64 x))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (.f64 8/3 (pow.f64 (sin.f64 (.f64 x 1/2)) 2)) (sin.f64 x))))))

Compiler

Compiled 3755 to 2834 computations (24.5% saved)

localize10.0ms (0.1%)

Local error

Found 4 expressions with local error:

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

series20.0ms (0.3%)

Counts

3 → 36

Calls

3 calls:

11.0ms	(.f64 (/.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 x)) (/.f64 8/3 (/.f64 1 (sin.f64 (*.f64 x 1/2)))))
7.0ms	(/.f64 1 (sin.f64 (*.f64 x 1/2)))
2.0ms	(/.f64 8/3 (/.f64 1 (sin.f64 (*.f64 x 1/2))))

rewrite69.0ms (0.9%)

Algorithm

2×	batch-egg-rewrite

Rules

595×	`log-prod_binary64`
216×	`expm1-udef_binary64`
216×	`log1p-udef_binary64`
189×	`log-pow_binary64`
186×	`log-div_binary64`

Counts

3 → 114

Calls

3 calls:

67.0ms	(/.f64 1 (sin.f64 (*.f64 x 1/2)))
67.0ms	(.f64 (/.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 x)) (/.f64 8/3 (/.f64 1 (sin.f64 (*.f64 x 1/2)))))
67.0ms	(/.f64 8/3 (/.f64 1 (sin.f64 (*.f64 x 1/2))))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	40
1	259	40
2	3102	40
3	5526	40
0	0	0
1	0	0

simplify81.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

656×	`fma-def_binary64`
532×	`unswap-sqr_binary64`
518×	`fma-neg_binary64`
412×	`distribute-rgt-neg-in_binary64`
383×	`cancel-sign-sub-inv_binary64`

Counts

150 → 140

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	56	457
1	139	451
2	331	445
3	811	445
4	1858	445
5	2746	445
6	4399	445
7	5207	445

prune196.0ms (2.7%)

Pruning

10 alts after pruning (10 fresh and 0 done)

	Pruned	Kept	Total
New	183	4	187
Fresh	4	6	10
Picked	1	0	1
Done	1	0	1
Total	189	10	199

Error

0.0b

Counts

199 → 10

Alt Table

Status	Error	Program
	1.1b	(.f64 (.f64 (pow.f64 (cbrt.f64 (/.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 x))) 2) (cbrt.f64 (/.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 x)))) (/.f64 8/3 (/.f64 1 (sin.f64 (*.f64 x 1/2)))))
	1.4b	(pow.f64 (cbrt.f64 (.f64 (.f64 8/3 (sin.f64 (.f64 x 1/2))) (/.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 x)))) 3)
	1.4b	(/.f64 (.f64 (sin.f64 (.f64 x 1/2)) 8/3) (/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 3) (sin.f64 (*.f64 x 1/2))))
	15.0b	(.f64 (sqrt.f64 (.f64 8/3 (pow.f64 (sin.f64 (.f64 x 1/2)) 2))) (.f64 (sqrt.f64 (.f64 8/3 (pow.f64 (sin.f64 (.f64 x 1/2)) 2))) (/.f64 1 (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))
	0.3b	(/.f64 (sin.f64 (.f64 x 1/2)) (/.f64 (/.f64 (sin.f64 x) (sin.f64 (.f64 x 1/2))) 8/3))
	15.0b	(/.f64 (.f64 (sin.f64 (.f64 x 1/2)) (log1p.f64 (expm1.f64 (.f64 (sin.f64 (.f64 x 1/2)) 8/3)))) (sin.f64 x))
	14.9b	(.f64 8/3 (/.f64 (pow.f64 (sin.f64 (.f64 1/2 x)) 2) (sin.f64 x)))
	0.9b	(log1p.f64 (expm1.f64 (.f64 (.f64 8/3 (sin.f64 (.f64 x 1/2))) (/.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 x)))))
	30.7b	(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (.f64 8/3 (pow.f64 (sin.f64 (.f64 x 1/2)) 2)) (sin.f64 x))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (.f64 8/3 (pow.f64 (sin.f64 (.f64 x 1/2)) 2)) (sin.f64 x))))))

Compiler

Compiled 3801 to 2920 computations (23.2% saved)

regimes949.0ms (12.9%)

Accuracy

Total 0.3b remaining (85.1%)

Threshold costs 0.3b (85.1%)

Counts

368 → 1

Compiler

Compiled 13544 to 11190 computations (17.4% 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

end186.0ms (2.5%)

Compiler: Compiled 229 to 189 computations (17.5% saved)

Details

analyze1.2s (16.1%)

sample3.6s (48.9%)

simplify7.0ms (0.1%)

prune3.0ms (0%)

localize10.0ms (0.1%)

series22.0ms (0.3%)

rewrite97.0ms (1.3%)

simplify98.0ms (1.3%)

prune137.0ms (1.9%)

localize10.0ms (0.1%)

series20.0ms (0.3%)

rewrite94.0ms (1.3%)

simplify76.0ms (1%)

prune150.0ms (2%)

localize8.0ms (0.1%)

series24.0ms (0.3%)

rewrite64.0ms (0.9%)

simplify68.0ms (0.9%)

prune174.0ms (2.4%)

localize10.0ms (0.1%)

series20.0ms (0.3%)

rewrite69.0ms (0.9%)

simplify81.0ms (1.1%)

prune196.0ms (2.7%)

regimes949.0ms (12.9%)

simplify2.0ms (0%)

end186.0ms (2.5%)

Profiling