Details

analyze624.0ms (9.3%)

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
12.5%	87.4%	0.1%	4
18.7%	81.1%	0.1%	5
28.1%	71.8%	0.1%	6
42.1%	57.7%	0.1%	7
49.1%	50.7%	0.1%	8
57.3%	42.5%	0.1%	9
66.9%	33%	0.1%	10
71.7%	28.2%	0.1%	11
76.8%	23.1%	0.1%	12
82.3%	17.6%	0.1%	13
85%	14.8%	0.1%	14

Compiler

Compiled 20 to 15 computations (25% saved)

sample1.9s (28.3%)

Symmetry

(sort c s)

Results

974.0ms	6584×	body	128	valid
452.0ms	751×	body	1024	valid
209.0ms	569×	body	512	valid
88.0ms	348×	body	256	valid
4.0ms	4×	body	2048	valid

Compiler

Compiled 59 to 44 computations (25.4% saved)

simplify112.0ms (1.7%)

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

prune3.0ms (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

21.8b

Counts

3 → 1

Alt Table

Status	Error	Program
▶	21.8b	(/.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)

localize10.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.4b	(/.f64 (cos.f64 (.f64 2 x)) (.f64 (pow.f64 c 2) (.f64 (.f64 x (pow.f64 s 2)) x)))
✓	3.2b	(.f64 (.f64 x (pow.f64 s 2)) x)
✓	9.2b	(*.f64 x (pow.f64 s 2))
✓	13.9b	(.f64 (pow.f64 c 2) (.f64 (*.f64 x (pow.f64 s 2)) x))

series217.0ms (3.2%)

Counts

4 → 120

Calls

4 calls:

158.0ms	(/.f64 (cos.f64 (.f64 2 x)) (.f64 (pow.f64 c 2) (.f64 (.f64 x (pow.f64 s 2)) x)))
39.0ms	(.f64 (pow.f64 c 2) (.f64 (*.f64 x (pow.f64 s 2)) x))
11.0ms	(.f64 (.f64 x (pow.f64 s 2)) x)
10.0ms	(*.f64 x (pow.f64 s 2))

rewrite36.0ms (0.5%)

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:

9.0ms	(/.f64 (cos.f64 (.f64 2 x)) (.f64 (pow.f64 c 2) (.f64 (.f64 x (pow.f64 s 2)) x)))
8.0ms	(.f64 (pow.f64 c 2) (.f64 (*.f64 x (pow.f64 s 2)) x))
5.0ms	(.f64 (.f64 x (pow.f64 s 2)) x)
4.0ms	(*.f64 x (pow.f64 s 2))

simplify171.0ms (2.5%)

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

prune230.0ms (3.4%)

Pruning

10 alts after pruning (10 fresh and 0 done)

	Pruned	Kept	Total
New	177	10	187
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	178	10	188

Error

7.4b

Counts

188 → 10

Alt Table

Status	Error	Program
	27.0b	(/.f64 (cos.f64 (.f64 2 x)) (.f64 (pow.f64 c 2) (.f64 (.f64 (*.f64 s x) (pow.f64 (sqrt.f64 s) 2)) x)))
	27.3b	(/.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))))))
	20.8b	(/.f64 (cos.f64 (.f64 2 x)) (.f64 (.f64 (pow.f64 c 2) (.f64 x (pow.f64 s 2))) x))
	21.7b	(/.f64 (/.f64 (cos.f64 (.f64 2 x)) (pow.f64 c 2)) (.f64 (*.f64 x (pow.f64 s 2)) x))
	22.7b	(/.f64 (cos.f64 (.f64 2 x)) (.f64 c (.f64 c (.f64 (.f64 s s) (.f64 x x)))))
	44.0b	(/.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)))))
	58.2b	(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)))))
	27.3b	(/.f64 (cos.f64 (.f64 2 x)) (.f64 (pow.f64 s 2) (*.f64 (pow.f64 c 2) (pow.f64 x 2))))
	55.6b	(/.f64 (cos.f64 (.f64 2 x)) (exp.f64 (fma.f64 2 (+.f64 (log.f64 c) (log.f64 s)) (.f64 2 (log.f64 x)))))
▶	14.5b	(/.f64 (cos.f64 (.f64 2 x)) (.f64 (pow.f64 c 2) (.f64 (fabs.f64 (.f64 s x)) (fabs.f64 (*.f64 s x)))))

Compiler

Compiled 4792 to 2866 computations (40.2% saved)

localize11.0ms (0.2%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.2b	(.f64 (fabs.f64 (.f64 s x)) (fabs.f64 (*.f64 s x)))
✓	0.4b	(/.f64 (cos.f64 (.f64 2 x)) (.f64 (pow.f64 c 2) (.f64 (fabs.f64 (.f64 s x)) (fabs.f64 (*.f64 s x)))))
✓	13.9b	(.f64 (pow.f64 c 2) (.f64 (fabs.f64 (.f64 s x)) (fabs.f64 (.f64 s x))))

series223.0ms (3.3%)

Counts

3 → 96

Calls

3 calls:

182.0ms

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

31.0ms

(*.f64 (pow.f64 c 2) (*.f64 (fabs.f64 (*.f64 s x)) (fabs.f64 (*.f64 s x))))

8.0ms

(*.f64 (fabs.f64 (*.f64 s x)) (fabs.f64 (*.f64 s x)))

rewrite23.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

39×	`add-exp-log_binary64`
19×	`add-cbrt-cube_binary64`
19×	`prod-exp_binary64`
15×	`add-sqr-sqrt_binary64`
12×	`associate-l_binary64`

Counts

3 → 94

Calls

3 calls:

7.0ms

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

6.0ms

(*.f64 (pow.f64 c 2) (*.f64 (fabs.f64 (*.f64 s x)) (fabs.f64 (*.f64 s x))))

4.0ms

(*.f64 (fabs.f64 (*.f64 s x)) (fabs.f64 (*.f64 s x)))

simplify167.0ms (2.5%)

Algorithm

1×	egg-herbie

Rules

444×	`unswap-sqr_binary64`
365×	`associate-/l/_binary64`
258×	`associate-*r/_binary64`
247×	`fma-def_binary64`
237×	`associate-*l/_binary64`

Counts

190 → 146

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	150	3754
1	328	3350
2	1609	3296
3	4310	3242
4	4981	3242
5	5021	3242

prune215.0ms (3.2%)

Pruning

12 alts after pruning (12 fresh and 0 done)

	Pruned	Kept	Total
New	138	8	146
Fresh	5	4	9
Picked	1	0	1
Done	0	0	0
Total	144	12	156

Error

1.0b

Counts

156 → 12

Alt Table

Status	Error	Program
	25.5b	(exp.f64 (-.f64 (log.f64 (cos.f64 (.f64 2 x))) (+.f64 (log.f64 (pow.f64 c 2)) (+.f64 (log.f64 (fabs.f64 (.f64 s x))) (log.f64 (fabs.f64 (*.f64 s x)))))))
▶	1.5b	(/.f64 (cos.f64 (.f64 2 x)) (pow.f64 (.f64 c (fabs.f64 (*.f64 s x))) 2))
	27.0b	(/.f64 (cos.f64 (.f64 2 x)) (.f64 (pow.f64 c 2) (.f64 (.f64 (*.f64 s x) (pow.f64 (sqrt.f64 s) 2)) x)))
	27.3b	(/.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))))))
	4.1b	(/.f64 (cos.f64 (.f64 2 x)) (.f64 (.f64 c (.f64 c (fabs.f64 (.f64 s x)))) (fabs.f64 (.f64 s x))))
	48.6b	(/.f64 (cos.f64 (.f64 2 x)) (.f64 (.f64 (pow.f64 (sqrt.f64 c) 2) (fabs.f64 (.f64 s x))) (.f64 (pow.f64 (sqrt.f64 c) 2) (fabs.f64 (.f64 s x)))))
	14.4b	(.f64 (/.f64 1 (.f64 c c)) (/.f64 (cos.f64 (.f64 2 x)) (pow.f64 (fabs.f64 (.f64 s x)) 2)))
	20.8b	(/.f64 (cos.f64 (.f64 2 x)) (.f64 (.f64 (pow.f64 c 2) (.f64 x (pow.f64 s 2))) x))
	14.4b	(/.f64 (/.f64 (cos.f64 (.f64 2 x)) (pow.f64 c 2)) (.f64 (fabs.f64 (.f64 s x)) (fabs.f64 (.f64 s x))))
	12.2b	(/.f64 (cos.f64 (.f64 2 x)) (.f64 (.f64 (pow.f64 c 2) (fabs.f64 (.f64 s x))) (fabs.f64 (*.f64 s x))))
	9.7b	(/.f64 (cos.f64 (.f64 2 x)) (.f64 c (.f64 c (pow.f64 (fabs.f64 (.f64 s x)) 2))))
	55.6b	(/.f64 (cos.f64 (.f64 2 x)) (exp.f64 (fma.f64 2 (+.f64 (log.f64 c) (log.f64 s)) (.f64 2 (log.f64 x)))))

Compiler

Compiled 4173 to 2020 computations (51.6% saved)

localize10.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.1b	(pow.f64 (.f64 c (fabs.f64 (.f64 s x))) 2)
✓	0.4b	(/.f64 (cos.f64 (.f64 2 x)) (pow.f64 (.f64 c (fabs.f64 (*.f64 s x))) 2))
✓	3.9b	(.f64 c (fabs.f64 (.f64 s x)))

series213.0ms (3.2%)

Counts

3 → 72

Calls

3 calls:

184.0ms	(/.f64 (cos.f64 (.f64 2 x)) (pow.f64 (.f64 c (fabs.f64 (*.f64 s x))) 2))
20.0ms	(pow.f64 (.f64 c (fabs.f64 (.f64 s x))) 2)
8.0ms	(.f64 c (fabs.f64 (.f64 s x)))

rewrite16.0ms (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:

4.0ms	(/.f64 (cos.f64 (.f64 2 x)) (pow.f64 (.f64 c (fabs.f64 (*.f64 s x))) 2))
3.0ms	(.f64 c (fabs.f64 (.f64 s x)))
3.0ms	(pow.f64 (.f64 c (fabs.f64 (.f64 s x))) 2)

simplify100.0ms (1.5%)

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

prune193.0ms (2.9%)

Pruning

14 alts after pruning (14 fresh and 0 done)

	Pruned	Kept	Total
New	98	9	107
Fresh	6	5	11
Picked	1	0	1
Done	0	0	0
Total	105	14	119

Error

0.2b

Counts

119 → 14

Alt Table

Status	Error	Program
	2.0b	(/.f64 (cos.f64 (.f64 2 x)) (pow.f64 (.f64 (*.f64 c (fabs.f64 s)) (fabs.f64 x)) 2))
	4.1b	(/.f64 (cos.f64 (.f64 2 x)) (.f64 (.f64 c (.f64 c (fabs.f64 (.f64 s x)))) (fabs.f64 (.f64 s x))))
	1.6b	(.f64 (.f64 (cbrt.f64 (cos.f64 (.f64 2 x))) (cbrt.f64 (cos.f64 (.f64 2 x)))) (/.f64 (cbrt.f64 (cos.f64 (.f64 2 x))) (pow.f64 (.f64 c (fabs.f64 (*.f64 s x))) 2)))
	14.0b	(cbrt.f64 (/.f64 (.f64 (.f64 (cos.f64 (.f64 2 x)) (cos.f64 (.f64 2 x))) (cos.f64 (.f64 2 x))) (.f64 (.f64 (pow.f64 (.f64 c (fabs.f64 (.f64 s x))) 2) (pow.f64 (.f64 c (fabs.f64 (.f64 s x))) 2)) (pow.f64 (.f64 c (fabs.f64 (*.f64 s x))) 2))))
	14.4b	(.f64 (/.f64 1 (.f64 c c)) (/.f64 (cos.f64 (.f64 2 x)) (pow.f64 (fabs.f64 (.f64 s x)) 2)))
	20.6b	(-.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)))
	20.8b	(/.f64 (cos.f64 (.f64 2 x)) (.f64 (.f64 (pow.f64 c 2) (.f64 x (pow.f64 s 2))) x))
	1.7b	(.f64 (/.f64 1 (.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)))) (/.f64 (cos.f64 (.f64 2 x)) (cbrt.f64 (pow.f64 (.f64 c (fabs.f64 (*.f64 s x))) 2))))
	1.7b	(/.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 (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))
	12.2b	(/.f64 (cos.f64 (.f64 2 x)) (.f64 (.f64 (pow.f64 c 2) (fabs.f64 (.f64 s x))) (fabs.f64 (*.f64 s x))))
	9.7b	(/.f64 (cos.f64 (.f64 2 x)) (.f64 c (.f64 c (pow.f64 (fabs.f64 (.f64 s x)) 2))))
▶	1.3b	(/.f64 (/.f64 (cos.f64 (.f64 2 x)) (.f64 c (fabs.f64 (.f64 s x)))) (.f64 c (fabs.f64 (*.f64 s x))))
	1.8b	(.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))))

Compiler

Compiled 3169 to 1727 computations (45.5% saved)

localize9.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.1b	(/.f64 (/.f64 (cos.f64 (.f64 2 x)) (.f64 c (fabs.f64 (.f64 s x)))) (.f64 c (fabs.f64 (*.f64 s x))))
✓	0.6b	(/.f64 (cos.f64 (.f64 2 x)) (.f64 c (fabs.f64 (*.f64 s x))))
	3.9b	(.f64 c (fabs.f64 (.f64 s x)))

series238.0ms (3.5%)

Counts

2 → 40

Calls

2 calls:

189.0ms	(/.f64 (/.f64 (cos.f64 (.f64 2 x)) (.f64 c (fabs.f64 (.f64 s x)))) (.f64 c (fabs.f64 (*.f64 s x))))
49.0ms	(/.f64 (cos.f64 (.f64 2 x)) (.f64 c (fabs.f64 (*.f64 s x))))

rewrite18.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

28×	`add-cbrt-cube_binary64`
28×	`add-exp-log_binary64`
16×	`times-frac_binary64`
12×	`cbrt-undiv_binary64`
12×	`div-exp_binary64`

Counts

2 → 65

Calls

2 calls:

7.0ms	(/.f64 (/.f64 (cos.f64 (.f64 2 x)) (.f64 c (fabs.f64 (.f64 s x)))) (.f64 c (fabs.f64 (*.f64 s x))))
4.0ms	(/.f64 (cos.f64 (.f64 2 x)) (.f64 c (fabs.f64 (*.f64 s x))))

simplify75.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

759×	`associate-l_binary64`
681×	`associate-*l/_binary64`
579×	`associate-*r/_binary64`
483×	`associate-/r/_binary64`
215×	`associate-/r*_binary64`

Counts

105 → 119

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	140	3223
1	369	2754
2	1492	2725
3	5131	2725

prune361.0ms (5.4%)

Pruning

12 alts after pruning (12 fresh and 0 done)

	Pruned	Kept	Total
New	160	5	165
Fresh	6	7	13
Picked	1	0	1
Done	0	0	0
Total	167	12	179

Error

0.1b

Counts

179 → 12

Alt Table

Status	Error	Program
	12.6b	(/.f64 (-.f64 (/.f64 (.f64 (cos.f64 x) (cos.f64 x)) (.f64 c (fabs.f64 (.f64 s x)))) (/.f64 (.f64 (sin.f64 x) (sin.f64 x)) (.f64 c (fabs.f64 (.f64 s x))))) (.f64 c (fabs.f64 (.f64 s x))))
	1.6b	(/.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))
	1.3b	(/.f64 (.f64 (/.f64 1 c) (/.f64 (cos.f64 (.f64 2 x)) (fabs.f64 (.f64 s x)))) (.f64 c (fabs.f64 (*.f64 s x))))
	4.3b	(.f64 (/.f64 (.f64 (cbrt.f64 (/.f64 (cos.f64 (.f64 2 x)) (.f64 c (fabs.f64 (.f64 s x))))) (cbrt.f64 (/.f64 (cos.f64 (.f64 2 x)) (.f64 c (fabs.f64 (.f64 s x)))))) c) (/.f64 (cbrt.f64 (/.f64 (cos.f64 (.f64 2 x)) (.f64 c (fabs.f64 (.f64 s x))))) (fabs.f64 (.f64 s x))))
	14.4b	(.f64 (/.f64 1 (.f64 c c)) (/.f64 (cos.f64 (.f64 2 x)) (pow.f64 (fabs.f64 (.f64 s x)) 2)))
	20.6b	(-.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)))
	2.8b	(/.f64 (/.f64 (cos.f64 (.f64 2 x)) (.f64 (.f64 c (fabs.f64 s)) (fabs.f64 x))) (.f64 c (fabs.f64 (*.f64 s x))))
	2.8b	(/.f64 (/.f64 (cos.f64 (.f64 2 x)) (.f64 c (fabs.f64 (.f64 s x)))) (.f64 (*.f64 c (fabs.f64 s)) (fabs.f64 x)))
	1.7b	(/.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))))
	2.0b	(/.f64 (cos.f64 (.f64 2 x)) (pow.f64 (.f64 (*.f64 c (fabs.f64 s)) (fabs.f64 x)) 2))
	9.7b	(/.f64 (cos.f64 (.f64 2 x)) (.f64 c (.f64 c (pow.f64 (fabs.f64 (.f64 s x)) 2))))
	1.6b	(.f64 (.f64 (cbrt.f64 (cos.f64 (.f64 2 x))) (cbrt.f64 (cos.f64 (.f64 2 x)))) (/.f64 (cbrt.f64 (cos.f64 (.f64 2 x))) (pow.f64 (.f64 c (fabs.f64 (*.f64 s x))) 2)))

Compiler

Compiled 4821 to 1851 computations (61.6% saved)

regimes1.4s (20.1%)

Accuracy

Total 1.7b remaining (95.4%)

Threshold costs 0b (0%)

Counts

190 → 1

Compiler

Compiled 32629 to 21232 computations (34.9% saved)

simplify3.0ms (0%)

Algorithm

1×	egg-herbie

Rules

3×	`*-commutative_binary64`
2×	`fabs-mul_binary64`
1×	`1-exp_binary64`
1×	`unpow1_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	28
1	22	28
2	23	28
3	22	28

end196.0ms (2.9%)

Remove: (sort c s)
Compiler: Compiled 410 to 243 computations (40.7% saved)

Details

analyze624.0ms (9.3%)

sample1.9s (28.3%)

simplify112.0ms (1.7%)

prune3.0ms (0%)

localize10.0ms (0.2%)

series217.0ms (3.2%)

rewrite36.0ms (0.5%)

simplify171.0ms (2.5%)

prune230.0ms (3.4%)

localize11.0ms (0.2%)

series223.0ms (3.3%)

rewrite23.0ms (0.3%)

simplify167.0ms (2.5%)

prune215.0ms (3.2%)

localize10.0ms (0.1%)

series213.0ms (3.2%)

rewrite16.0ms (0.2%)

simplify100.0ms (1.5%)

prune193.0ms (2.9%)

localize9.0ms (0.1%)

series238.0ms (3.5%)

rewrite18.0ms (0.3%)

simplify75.0ms (1.1%)

prune361.0ms (5.4%)

regimes1.4s (20.1%)

simplify3.0ms (0%)

end196.0ms (2.9%)

Profiling