Details

analyze2.7s (16.5%)

Algorithm

1×

Search

True	Other	False	Iter
0%	99.9%	0.1%	0
0%	99.9%	0.1%	1
0%	99.9%	0.1%	2
0%	99.9%	0.1%	3
0%	99.9%	0.1%	4
0%	99.9%	0.1%	5
0%	99.9%	0.1%	6
12.5%	87.4%	0.1%	7
18.7%	81.1%	0.1%	8
26.5%	72.9%	0.5%	9
38.2%	60.7%	1.1%	10
41.7%	54.9%	3.4%	11
47.6%	47.4%	5%	12
53.4%	39.4%	7.2%	13
54.9%	34.5%	10.6%	14

Compiler

Compiled 20 to 15 computations (25% saved)

sample161.0ms (1%)

Algorithm

1×

intervals

Results

47.0ms	27×	body	1024	valid
37.0ms	196×	body	128	valid
12.0ms	22×	body	512	valid
12.0ms	60×	body	128	invalid
5.0ms	5×	body	1024	invalid
4.0ms	10×	body	256	valid
2.0ms	4×	body	256	invalid
1.0ms	1×	body	2048	valid
1.0ms	2×	body	512	invalid

Compiler

Compiled 42 to 32 computations (23.8% saved)

simplify130.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

750×	`unswap-sqr_binary64`
704×	`sqr-pow_binary64`
582×	`*-commutative_binary64`
574×	`fabs-mul_binary64`
502×	`cube-prod_binary64`

Counts

1 → 2

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	24
1	29	24
2	68	24
3	214	24
4	833	24
5	1367	24
6	2084	24
7	2149	24
8	2230	24
9	2331	24
10	2464	24
11	2501	24
12	2580	24
13	2853	24
14	3277	24
15	3804	24
16	4518	24
17	4911	24

prune5.0ms (0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	1	1	2
Fresh	0	1	1
Picked	0	0	0
Done	0	0	0
Total	1	2	3

Error

28.6b

Counts

3 → 1

Alt Table

Status	Error	Program
▶	28.6b	(/.f64 (cos.f64 (.f64 2 x)) (.f64 (pow.f64 c 2) (.f64 (.f64 x (pow.f64 s 2)) x)))

Compiler

Compiled 73 to 51 computations (30.1% saved)

localize23.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.3b	(/.f64 (cos.f64 (.f64 2 x)) (.f64 (pow.f64 c 2) (.f64 (.f64 x (pow.f64 s 2)) x)))
✓	3.7b	(.f64 (.f64 x (pow.f64 s 2)) x)
✓	7.7b	(*.f64 x (pow.f64 s 2))
✓	19.5b	(.f64 (pow.f64 c 2) (.f64 (*.f64 x (pow.f64 s 2)) x))

series388.0ms (2.3%)

Counts

4 → 120

Calls

4 calls:

279.0ms	(/.f64 (cos.f64 (.f64 2 x)) (.f64 (pow.f64 c 2) (.f64 (.f64 x (pow.f64 s 2)) x)))
70.0ms	(.f64 (pow.f64 c 2) (.f64 (*.f64 x (pow.f64 s 2)) x))
21.0ms	(.f64 (.f64 x (pow.f64 s 2)) x)
17.0ms	(*.f64 x (pow.f64 s 2))

rewrite70.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

122×	`add-exp-log_binary64`
82×	`prod-exp_binary64`
34×	`add-cbrt-cube_binary64`
18×	`add-sqr-sqrt_binary64`
18×	`pow-exp_binary64`

Counts

4 → 127

Calls

4 calls:

17.0ms	(/.f64 (cos.f64 (.f64 2 x)) (.f64 (pow.f64 c 2) (.f64 (.f64 x (pow.f64 s 2)) x)))
13.0ms	(.f64 (pow.f64 c 2) (.f64 (*.f64 x (pow.f64 s 2)) x))
11.0ms	(.f64 (.f64 x (pow.f64 s 2)) x)
8.0ms	(*.f64 x (pow.f64 s 2))

simplify271.0ms (1.6%)

Algorithm

1×	egg-herbie

Rules

709×	`associate-/l*_binary64`
426×	`*-commutative_binary64`
391×	`fma-def_binary64`
263×	`associate-/l/_binary64`
226×	`associate-l_binary64`

Counts

247 → 187

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	191	4648
1	423	4174
2	1479	4157
3	4565	4141
4	4972	4141
5	5020	4141

prune1.2s (7.1%)

Pruning

15 alts after pruning (15 fresh and 0 done)

	Pruned	Kept	Total
New	172	15	187
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	173	15	188

Error

9.8b

Counts

188 → 15

Alt Table

Status	Error	Program
	28.6b	(/.f64 1 (/.f64 (.f64 (pow.f64 c 2) (.f64 (.f64 x (pow.f64 s 2)) x)) (cos.f64 (.f64 2 x))))
	25.3b	(/.f64 (cos.f64 (.f64 2 x)) (.f64 (.f64 (pow.f64 c 2) (.f64 x (pow.f64 s 2))) x))
	31.7b	(.f64 (/.f64 1 (.f64 c c)) (/.f64 (cos.f64 (.f64 2 x)) (.f64 (.f64 s s) (.f64 x x))))
	30.2b	(/.f64 (cos.f64 (.f64 2 x)) (.f64 (.f64 (cbrt.f64 (.f64 (.f64 s s) (.f64 (.f64 c c) (.f64 x x)))) (cbrt.f64 (.f64 (.f64 s s) (.f64 (.f64 c c) (.f64 x x))))) (cbrt.f64 (.f64 (.f64 s s) (.f64 (.f64 c c) (.f64 x x))))))
	23.2b	(/.f64 (cos.f64 (.f64 2 x)) (.f64 (pow.f64 c 2) (.f64 (.f64 (*.f64 x s) s) x)))
	23.0b	(/.f64 (cos.f64 (.f64 2 x)) (.f64 c (.f64 c (.f64 (*.f64 x (pow.f64 s 2)) x))))
	33.1b	(.f64 (sqrt.f64 (/.f64 (cos.f64 (.f64 2 x)) (.f64 (.f64 s s) (.f64 (.f64 c c) (.f64 x x))))) (sqrt.f64 (/.f64 (cos.f64 (.f64 2 x)) (.f64 (.f64 s s) (.f64 (.f64 c c) (*.f64 x x))))))
	46.5b	(/.f64 (cos.f64 (.f64 2 x)) (exp.f64 (+.f64 (log.f64 (pow.f64 c 2)) (+.f64 (+.f64 (log.f64 x) (.f64 (log.f64 s) 2)) (log.f64 x)))))
	34.1b	(/.f64 (cos.f64 (.f64 2 x)) (.f64 (pow.f64 c 2) (.f64 (.f64 (*.f64 s x) (pow.f64 (sqrt.f64 s) 2)) x)))
	28.8b	(/.f64 (/.f64 (cos.f64 (.f64 2 x)) (pow.f64 c 2)) (.f64 (*.f64 x (pow.f64 s 2)) x))
	57.6b	(exp.f64 (-.f64 (log.f64 (cos.f64 (.f64 2 x))) (+.f64 (.f64 (log.f64 c) 2) (+.f64 (+.f64 (log.f64 x) (*.f64 (log.f64 s) 2)) (log.f64 x)))))
	25.2b	(/.f64 (cos.f64 (.f64 2 x)) (.f64 (pow.f64 (.f64 (cbrt.f64 c) (cbrt.f64 c)) 2) (.f64 (pow.f64 (cbrt.f64 c) 2) (.f64 (.f64 x (pow.f64 s 2)) x))))
	56.0b	(/.f64 (cos.f64 (.f64 2 x)) (exp.f64 (+.f64 (.f64 (log.f64 c) 2) (+.f64 (+.f64 (log.f64 x) (*.f64 (log.f64 s) 2)) (log.f64 x)))))
	28.7b	(/.f64 (.f64 (cbrt.f64 (cos.f64 (.f64 2 x))) (cbrt.f64 (cos.f64 (.f64 2 x)))) (/.f64 (.f64 (pow.f64 c 2) (.f64 (.f64 x (pow.f64 s 2)) x)) (cbrt.f64 (cos.f64 (*.f64 2 x)))))
▶	20.9b	(/.f64 (cos.f64 (.f64 2 x)) (.f64 (pow.f64 c 2) (.f64 (fabs.f64 (.f64 s x)) (fabs.f64 (*.f64 s x)))))

Compiler

Compiled 5080 to 3054 computations (39.9% saved)

localize23.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(.f64 (fabs.f64 (.f64 s x)) (fabs.f64 (*.f64 s x)))
✓	0.2b	(cos.f64 (*.f64 2 x))
✓	0.3b	(/.f64 (cos.f64 (.f64 2 x)) (.f64 (pow.f64 c 2) (.f64 (fabs.f64 (.f64 s x)) (fabs.f64 (*.f64 s x)))))
✓	19.5b	(.f64 (pow.f64 c 2) (.f64 (fabs.f64 (.f64 s x)) (fabs.f64 (.f64 s x))))

series378.0ms (2.3%)

Counts

4 → 100

Calls

4 calls:

304.0ms	(/.f64 (cos.f64 (.f64 2 x)) (.f64 (pow.f64 c 2) (.f64 (fabs.f64 (.f64 s x)) (fabs.f64 (*.f64 s x)))))
56.0ms	(.f64 (pow.f64 c 2) (.f64 (fabs.f64 (.f64 s x)) (fabs.f64 (.f64 s x))))
13.0ms	(.f64 (fabs.f64 (.f64 s x)) (fabs.f64 (*.f64 s x)))
3.0ms	(cos.f64 (*.f64 2 x))

rewrite49.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

40×	`add-exp-log_binary64`
20×	`add-cbrt-cube_binary64`
19×	`prod-exp_binary64`
16×	`add-sqr-sqrt_binary64`
12×	`associate-l_binary64`

Counts

4 → 104

Calls

4 calls:

13.0ms	(/.f64 (cos.f64 (.f64 2 x)) (.f64 (pow.f64 c 2) (.f64 (fabs.f64 (.f64 s x)) (fabs.f64 (*.f64 s x)))))
11.0ms	(.f64 (pow.f64 c 2) (.f64 (fabs.f64 (.f64 s x)) (fabs.f64 (.f64 s x))))
7.0ms	(.f64 (fabs.f64 (.f64 s x)) (fabs.f64 (*.f64 s x)))
2.0ms	(cos.f64 (*.f64 2 x))

simplify208.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

444×	`unswap-sqr_binary64`
365×	`associate-/l/_binary64`
256×	`associate-*r/_binary64`
250×	`associate-*l/_binary64`
239×	`fma-def_binary64`

Counts

204 → 164

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	161	3918
1	356	3501
2	1704	3443
3	4496	3389
4	5074	3389

prune526.0ms (3.2%)

Pruning

13 alts after pruning (13 fresh and 0 done)

	Pruned	Kept	Total
New	154	10	164
Fresh	11	3	14
Picked	1	0	1
Done	0	0	0
Total	166	13	179

Error

1.5b

Counts

179 → 13

Alt Table

Status	Error	Program
	25.3b	(/.f64 (cos.f64 (.f64 2 x)) (.f64 (.f64 (pow.f64 c 2) (.f64 x (pow.f64 s 2))) x))
	6.8b	(/.f64 (cos.f64 (.f64 2 x)) (.f64 (.f64 c (.f64 c (fabs.f64 (.f64 s x)))) (fabs.f64 (.f64 s x))))
	21.1b	(/.f64 (cos.f64 (.f64 2 x)) (.f64 (.f64 (cbrt.f64 (pow.f64 c 2)) (cbrt.f64 (pow.f64 c 2))) (.f64 (pow.f64 (fabs.f64 (.f64 s x)) 2) (cbrt.f64 (.f64 c c)))))
	22.7b	(/.f64 (cos.f64 (.f64 2 x)) (.f64 (pow.f64 c 2) (.f64 (fabs.f64 s) (.f64 (fabs.f64 x) (fabs.f64 (*.f64 s x))))))
▶	1.8b	(/.f64 (cos.f64 (.f64 2 x)) (pow.f64 (.f64 c (fabs.f64 (*.f64 s x))) 2))
	15.9b	(/.f64 (cos.f64 (.f64 2 x)) (.f64 (.f64 (pow.f64 c 2) (fabs.f64 (.f64 s x))) (fabs.f64 (*.f64 s x))))
	21.5b	(/.f64 1 (/.f64 (.f64 c c) (/.f64 (cos.f64 (.f64 2 x)) (pow.f64 (fabs.f64 (*.f64 s x)) 2))))
	30.2b	(/.f64 (cos.f64 (.f64 2 x)) (.f64 (.f64 (cbrt.f64 (.f64 (.f64 s s) (.f64 (.f64 c c) (.f64 x x)))) (cbrt.f64 (.f64 (.f64 s s) (.f64 (.f64 c c) (.f64 x x))))) (cbrt.f64 (.f64 (.f64 s s) (.f64 (.f64 c c) (.f64 x x))))))
	13.7b	(/.f64 (cos.f64 (.f64 2 x)) (.f64 c (.f64 c (pow.f64 (fabs.f64 (.f64 s x)) 2))))
	21.0b	(/.f64 (cbrt.f64 (.f64 (.f64 (cos.f64 (.f64 2 x)) (cos.f64 (.f64 2 x))) (cos.f64 (.f64 2 x)))) (.f64 (pow.f64 c 2) (.f64 (fabs.f64 (.f64 s x)) (fabs.f64 (*.f64 s x)))))
	21.7b	(.f64 (/.f64 (.f64 (cbrt.f64 (cos.f64 (.f64 2 x))) (cbrt.f64 (cos.f64 (.f64 2 x)))) (.f64 c c)) (/.f64 (cbrt.f64 (cos.f64 (.f64 2 x))) (pow.f64 (fabs.f64 (*.f64 s x)) 2)))
	28.8b	(/.f64 (/.f64 (cos.f64 (.f64 2 x)) (pow.f64 c 2)) (.f64 (*.f64 x (pow.f64 s 2)) x))
	50.8b	(exp.f64 (fma.f64 -2 (log.f64 (.f64 c (fabs.f64 (.f64 s x)))) (log.f64 (cos.f64 (*.f64 2 x)))))

Compiler

Compiled 4666 to 2288 computations (51% saved)

localize18.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.2b	(cos.f64 (*.f64 2 x))
✓	0.3b	(pow.f64 (.f64 c (fabs.f64 (.f64 s x))) 2)
✓	0.3b	(/.f64 (cos.f64 (.f64 2 x)) (pow.f64 (.f64 c (fabs.f64 (*.f64 s x))) 2))
✓	4.4b	(.f64 c (fabs.f64 (.f64 s x)))

series363.0ms (2.2%)

Counts

3 → 72

Calls

3 calls:

312.0ms	(/.f64 (cos.f64 (.f64 2 x)) (pow.f64 (.f64 c (fabs.f64 (*.f64 s x))) 2))
35.0ms	(pow.f64 (.f64 c (fabs.f64 (.f64 s x))) 2)
16.0ms	(.f64 c (fabs.f64 (.f64 s x)))

rewrite30.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Rules

19×	`add-sqr-sqrt_binary64`
18×	`times-frac_binary64`
17×	`*-un-lft-identity_binary64`
17×	`add-cube-cbrt_binary64`
16×	`add-exp-log_binary64`

Counts

3 → 86

Calls

3 calls:

10.0ms	(/.f64 (cos.f64 (.f64 2 x)) (pow.f64 (.f64 c (fabs.f64 (*.f64 s x))) 2))
6.0ms	(.f64 c (fabs.f64 (.f64 s x)))
6.0ms	(pow.f64 (.f64 c (fabs.f64 (.f64 s x))) 2)

simplify173.0ms (1%)

Algorithm

1×	egg-herbie

Rules

702×	`associate-/l*_binary64`
356×	`fma-def_binary64`
308×	`associate-/l/_binary64`
208×	`*-commutative_binary64`
202×	`associate-*r/_binary64`

Counts

158 → 107

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	151	3209
1	295	3090
2	1163	3083
3	4210	3081
4	4954	3081

prune404.0ms (2.4%)

Pruning

15 alts after pruning (15 fresh and 0 done)

	Pruned	Kept	Total
New	115	10	125
Fresh	7	5	12
Picked	1	0	1
Done	0	0	0
Total	123	15	138

Error

0.1b

Counts

138 → 15

Alt Table

Status	Error	Program
	21.5b	(/.f64 1 (/.f64 (.f64 c c) (/.f64 (cos.f64 (.f64 2 x)) (pow.f64 (fabs.f64 (*.f64 s x)) 2))))
	2.1b	(/.f64 (/.f64 (cos.f64 (.f64 2 x)) (.f64 (cbrt.f64 (pow.f64 (.f64 c (fabs.f64 (.f64 s x))) 2)) (cbrt.f64 (pow.f64 (.f64 c (fabs.f64 (.f64 s x))) 2)))) (cbrt.f64 (pow.f64 (.f64 c (fabs.f64 (.f64 s x))) 2)))
	13.7b	(/.f64 (cos.f64 (.f64 2 x)) (.f64 c (.f64 c (pow.f64 (fabs.f64 (.f64 s x)) 2))))
	1.8b	(/.f64 (log.f64 (exp.f64 (cos.f64 (.f64 2 x)))) (pow.f64 (.f64 c (fabs.f64 (*.f64 s x))) 2))
	2.1b	(/.f64 (cos.f64 (.f64 2 x)) (.f64 (.f64 (cbrt.f64 (pow.f64 (.f64 c (fabs.f64 (.f64 s x))) 2)) (cbrt.f64 (pow.f64 (.f64 c (fabs.f64 (.f64 s x))) 2))) (cbrt.f64 (pow.f64 (.f64 c (fabs.f64 (*.f64 s x))) 2))))
▶	1.6b	(-.f64 (/.f64 (.f64 (cos.f64 x) (cos.f64 x)) (pow.f64 (.f64 c (fabs.f64 (.f64 s x))) 2)) (/.f64 (.f64 (sin.f64 x) (sin.f64 x)) (pow.f64 (.f64 c (fabs.f64 (.f64 s x))) 2)))
	3.3b	(/.f64 (cos.f64 (.f64 2 x)) (pow.f64 (.f64 (*.f64 c (fabs.f64 s)) (fabs.f64 x)) 2))
	28.8b	(/.f64 (/.f64 (cos.f64 (.f64 2 x)) (pow.f64 c 2)) (.f64 (*.f64 x (pow.f64 s 2)) x))
	2.2b	(.f64 (.f64 (cbrt.f64 (/.f64 (cos.f64 (.f64 2 x)) (pow.f64 (.f64 c (fabs.f64 (.f64 s x))) 2))) (cbrt.f64 (/.f64 (cos.f64 (.f64 2 x)) (pow.f64 (.f64 c (fabs.f64 (.f64 s x))) 2)))) (cbrt.f64 (/.f64 (cos.f64 (.f64 2 x)) (pow.f64 (.f64 c (fabs.f64 (*.f64 s x))) 2))))
	2.0b	(/.f64 (cos.f64 (.f64 2 x)) (pow.f64 (.f64 (.f64 c (sqrt.f64 (fabs.f64 (.f64 s x)))) (sqrt.f64 (fabs.f64 (*.f64 s x)))) 2))
	21.1b	(/.f64 (cos.f64 (.f64 2 x)) (.f64 (.f64 (cbrt.f64 (pow.f64 c 2)) (cbrt.f64 (pow.f64 c 2))) (.f64 (pow.f64 (fabs.f64 (.f64 s x)) 2) (cbrt.f64 (.f64 c c)))))
	1.6b	(/.f64 (/.f64 (cos.f64 (.f64 2 x)) (.f64 c (fabs.f64 (.f64 s x)))) (.f64 c (fabs.f64 (*.f64 s x))))
	24.6b	(/.f64 (cos.f64 (.f64 2 x)) (cbrt.f64 (pow.f64 (.f64 c (fabs.f64 (*.f64 s x))) 6)))
	21.7b	(.f64 (/.f64 (.f64 (cbrt.f64 (cos.f64 (.f64 2 x))) (cbrt.f64 (cos.f64 (.f64 2 x)))) (.f64 c c)) (/.f64 (cbrt.f64 (cos.f64 (.f64 2 x))) (pow.f64 (fabs.f64 (*.f64 s x)) 2)))
	9.3b	(.f64 (sqrt.f64 (/.f64 (cos.f64 (.f64 2 x)) (pow.f64 (.f64 c (fabs.f64 (.f64 s x))) 2))) (sqrt.f64 (/.f64 (cos.f64 (.f64 2 x)) (pow.f64 (.f64 c (fabs.f64 (*.f64 s x))) 2))))

Compiler

Compiled 3520 to 1943 computations (44.8% saved)

localize30.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.4b	(*.f64 (cos.f64 x) (cos.f64 x))
✓	0.4b	(*.f64 (sin.f64 x) (sin.f64 x))
✓	3.6b	(/.f64 (.f64 (sin.f64 x) (sin.f64 x)) (pow.f64 (.f64 c (fabs.f64 (*.f64 s x))) 2))
	4.4b	(.f64 c (fabs.f64 (.f64 s x)))

series368.0ms (2.2%)

Counts

3 → 60

Calls

3 calls:

355.0ms	(/.f64 (.f64 (sin.f64 x) (sin.f64 x)) (pow.f64 (.f64 c (fabs.f64 (*.f64 s x))) 2))
7.0ms	(*.f64 (sin.f64 x) (sin.f64 x))
6.0ms	(*.f64 (cos.f64 x) (cos.f64 x))

rewrite35.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Rules

27×	`add-exp-log_binary64`
17×	`add-sqr-sqrt_binary64`
17×	`pow1_binary64`
13×	`*-un-lft-identity_binary64`
13×	`add-cube-cbrt_binary64`

Counts

3 → 95

Calls

3 calls:

12.0ms	(/.f64 (.f64 (sin.f64 x) (sin.f64 x)) (pow.f64 (.f64 c (fabs.f64 (*.f64 s x))) 2))
7.0ms	(*.f64 (sin.f64 x) (sin.f64 x))
6.0ms	(*.f64 (cos.f64 x) (cos.f64 x))

simplify158.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

589×	`fma-def_binary64`
422×	`associate-/l/_binary64`
397×	`associate-*l/_binary64`
337×	`associate-*r/_binary64`
288×	`log-div_binary64`

Counts

155 → 163

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	168	2722
1	366	2314
2	1320	2272
3	4060	2252
4	5080	2252

prune803.0ms (4.8%)

Pruning

14 alts after pruning (14 fresh and 0 done)

	Pruned	Kept	Total
New	208	1	209
Fresh	1	13	14
Picked	1	0	1
Done	0	0	0
Total	210	14	224

Error

0.1b

Counts

224 → 14

Alt Table

Status	Error	Program
	21.5b	(/.f64 1 (/.f64 (.f64 c c) (/.f64 (cos.f64 (.f64 2 x)) (pow.f64 (fabs.f64 (*.f64 s x)) 2))))
	2.1b	(/.f64 (/.f64 (cos.f64 (.f64 2 x)) (.f64 (cbrt.f64 (pow.f64 (.f64 c (fabs.f64 (.f64 s x))) 2)) (cbrt.f64 (pow.f64 (.f64 c (fabs.f64 (.f64 s x))) 2)))) (cbrt.f64 (pow.f64 (.f64 c (fabs.f64 (.f64 s x))) 2)))
	13.7b	(/.f64 (cos.f64 (.f64 2 x)) (.f64 c (.f64 c (pow.f64 (fabs.f64 (.f64 s x)) 2))))
	1.8b	(/.f64 (log.f64 (exp.f64 (cos.f64 (.f64 2 x)))) (pow.f64 (.f64 c (fabs.f64 (*.f64 s x))) 2))
	2.1b	(/.f64 (cos.f64 (.f64 2 x)) (.f64 (.f64 (cbrt.f64 (pow.f64 (.f64 c (fabs.f64 (.f64 s x))) 2)) (cbrt.f64 (pow.f64 (.f64 c (fabs.f64 (.f64 s x))) 2))) (cbrt.f64 (pow.f64 (.f64 c (fabs.f64 (*.f64 s x))) 2))))
	3.3b	(/.f64 (cos.f64 (.f64 2 x)) (pow.f64 (.f64 (*.f64 c (fabs.f64 s)) (fabs.f64 x)) 2))
	28.8b	(/.f64 (/.f64 (cos.f64 (.f64 2 x)) (pow.f64 c 2)) (.f64 (*.f64 x (pow.f64 s 2)) x))
	21.1b	(/.f64 (cos.f64 (.f64 2 x)) (.f64 (.f64 (cbrt.f64 (pow.f64 c 2)) (cbrt.f64 (pow.f64 c 2))) (.f64 (pow.f64 (fabs.f64 (.f64 s x)) 2) (cbrt.f64 (.f64 c c)))))
	1.6b	(/.f64 (/.f64 (cos.f64 (.f64 2 x)) (.f64 c (fabs.f64 (.f64 s x)))) (.f64 c (fabs.f64 (*.f64 s x))))
	24.6b	(/.f64 (cos.f64 (.f64 2 x)) (cbrt.f64 (pow.f64 (.f64 c (fabs.f64 (*.f64 s x))) 6)))
	21.7b	(.f64 (/.f64 (.f64 (cbrt.f64 (cos.f64 (.f64 2 x))) (cbrt.f64 (cos.f64 (.f64 2 x)))) (.f64 c c)) (/.f64 (cbrt.f64 (cos.f64 (.f64 2 x))) (pow.f64 (fabs.f64 (*.f64 s x)) 2)))
	9.3b	(.f64 (sqrt.f64 (/.f64 (cos.f64 (.f64 2 x)) (pow.f64 (.f64 c (fabs.f64 (.f64 s x))) 2))) (sqrt.f64 (/.f64 (cos.f64 (.f64 2 x)) (pow.f64 (.f64 c (fabs.f64 (*.f64 s x))) 2))))
	2.2b	(.f64 (.f64 (cbrt.f64 (/.f64 (cos.f64 (.f64 2 x)) (pow.f64 (.f64 c (fabs.f64 (.f64 s x))) 2))) (cbrt.f64 (/.f64 (cos.f64 (.f64 2 x)) (pow.f64 (.f64 c (fabs.f64 (.f64 s x))) 2)))) (cbrt.f64 (/.f64 (cos.f64 (.f64 2 x)) (pow.f64 (.f64 c (fabs.f64 (*.f64 s x))) 2))))
	1.7b	(-.f64 (/.f64 (.f64 (cos.f64 x) (cos.f64 x)) (pow.f64 (.f64 c (fabs.f64 (.f64 s x))) 2)) (/.f64 (.f64 (sin.f64 x) (sin.f64 x)) (pow.f64 (.f64 (.f64 c (sqrt.f64 (fabs.f64 (.f64 s x)))) (sqrt.f64 (fabs.f64 (.f64 s x)))) 2)))

Compiler

Compiled 7787 to 2533 computations (67.5% saved)

regimes3.3s (19.5%)

Accuracy

Total 2.8b remaining (95.7%)

Threshold costs 0b (0%)

Counts

230 → 1

Compiler

Compiled 38921 to 26358 computations (32.3% saved)

simplify6.0ms (0%)

Algorithm

1×	egg-herbie

Rules

4×	`*-commutative_binary64`
3×	`+-commutative_binary64`
3×	`sub-neg_binary64`
2×	`neg-sub0_binary64`
2×	`neg-mul-1_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	32
1	25	32
2	33	32
3	37	32
4	39	32
5	39	32

end15.0ms (0.1%)

Compiler: Compiled 69 to 42 computations (39.1% saved)

sample4.8s (29%)

Algorithm

1×

intervals

Results

1.1s	6125×	body	128	valid
876.0ms	919×	body	1024	valid
356.0ms	610×	body	512	valid
344.0ms	1806×	body	128	invalid
191.0ms	209×	body	1024	invalid
149.0ms	244×	body	512	invalid
129.0ms	342×	body	256	valid
61.0ms	163×	body	256	invalid
7.0ms	4×	body	2048	valid

Compiler

Compiled 428 to 283 computations (33.9% saved)

Details

analyze2.7s (16.5%)

sample161.0ms (1%)

simplify130.0ms (0.8%)

prune5.0ms (0%)

localize23.0ms (0.1%)

series388.0ms (2.3%)

rewrite70.0ms (0.4%)

simplify271.0ms (1.6%)

prune1.2s (7.1%)

localize23.0ms (0.1%)

series378.0ms (2.3%)

rewrite49.0ms (0.3%)

simplify208.0ms (1.2%)

prune526.0ms (3.2%)

localize18.0ms (0.1%)

series363.0ms (2.2%)

rewrite30.0ms (0.2%)

simplify173.0ms (1%)

prune404.0ms (2.4%)

localize30.0ms (0.2%)

series368.0ms (2.2%)

rewrite35.0ms (0.2%)

simplify158.0ms (0.9%)

prune803.0ms (4.8%)

regimes3.3s (19.5%)

simplify6.0ms (0%)

end15.0ms (0.1%)

sample4.8s (29%)

Profiling