Details

analyze1.3s (13.5%)

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)

sample3.6s (39.2%)

Symmetry

(sort c s)

Results

1.1s	6327×	body	128	valid
747.0ms	178×	body	256	invalid
653.0ms	983×	body	1024	valid
334.0ms	1921×	body	128	invalid
272.0ms	600×	body	512	valid
139.0ms	215×	body	1024	invalid
107.0ms	342×	body	256	valid
102.0ms	234×	body	512	invalid
4.0ms	4×	body	2048	valid

Compiler

Compiled 59 to 44 computations (25.4% saved)

simplify109.0ms (1.2%)

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

26.9b

Counts

3 → 1

Alt Table

Status	Error	Program
▶	26.9b	(/.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)

localize12.0ms (0.1%)

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)))
✓	2.8b	(.f64 (.f64 x (pow.f64 s 2)) x)
✓	8.0b	(*.f64 x (pow.f64 s 2))
✓	17.5b	(.f64 (pow.f64 c 2) (.f64 (*.f64 x (pow.f64 s 2)) x))

series179.0ms (1.9%)

Counts

4 → 120

Calls

4 calls:

130.0ms	(/.f64 (cos.f64 (.f64 2 x)) (.f64 (pow.f64 c 2) (.f64 (.f64 x (pow.f64 s 2)) x)))
32.0ms	(.f64 (pow.f64 c 2) (.f64 (*.f64 x (pow.f64 s 2)) x))
10.0ms	(.f64 (.f64 x (pow.f64 s 2)) x)
7.0ms	(*.f64 x (pow.f64 s 2))

rewrite34.0ms (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:

8.0ms	(/.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))
4.0ms	(.f64 (.f64 x (pow.f64 s 2)) x)
4.0ms	(*.f64 x (pow.f64 s 2))

simplify142.0ms (1.5%)

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

prune248.0ms (2.7%)

Pruning

16 alts after pruning (16 fresh and 0 done)

	Pruned	Kept	Total
New	171	16	187
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	172	16	188

Error

11.1b

Counts

188 → 16

Alt Table

Status	Error	Program
	25.1b	(/.f64 (cos.f64 (.f64 2 x)) (.f64 (.f64 (pow.f64 c 2) (.f64 x (pow.f64 s 2))) x))
	45.4b	(/.f64 (cos.f64 (*.f64 2 x)) (exp.f64 (+.f64 (log.f64 (pow.f64 c 2)) (+.f64 (+.f64 (log.f64 x) (log.f64 (pow.f64 s 2))) (log.f64 x)))))
	45.4b	(/.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)))))
	31.2b	(/.f64 (cos.f64 (.f64 2 x)) (.f64 (pow.f64 s 2) (*.f64 (pow.f64 c 2) (pow.f64 x 2))))
	31.3b	(.f64 (.f64 (cbrt.f64 (/.f64 (cos.f64 (.f64 2 x)) (.f64 (.f64 s s) (.f64 (.f64 c c) (.f64 x x))))) (cbrt.f64 (/.f64 (cos.f64 (.f64 2 x)) (.f64 (.f64 s s) (.f64 (.f64 c c) (.f64 x x)))))) (cbrt.f64 (/.f64 (cos.f64 (.f64 2 x)) (.f64 (.f64 s s) (.f64 (.f64 c c) (.f64 x x))))))
	50.7b	(exp.f64 (-.f64 (log.f64 (cos.f64 (.f64 2 x))) (+.f64 (log.f64 (pow.f64 c 2)) (+.f64 (+.f64 (log.f64 x) (.f64 (log.f64 s) 2)) (log.f64 x)))))
	27.4b	(/.f64 (/.f64 (cos.f64 (.f64 2 x)) (pow.f64 c 2)) (.f64 (*.f64 x (pow.f64 s 2)) x))
	56.2b	(/.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)))))
	31.6b	(.f64 (/.f64 1 (.f64 c c)) (/.f64 (cos.f64 (.f64 2 x)) (.f64 (.f64 s s) (.f64 x x))))
	22.7b	(/.f64 (cos.f64 (.f64 2 x)) (.f64 c (.f64 c (.f64 (*.f64 x (pow.f64 s 2)) x))))
▶	18.8b	(/.f64 (cos.f64 (.f64 2 x)) (.f64 (pow.f64 c 2) (.f64 (fabs.f64 (.f64 s x)) (fabs.f64 (*.f64 s x)))))
	20.3b	(/.f64 (cos.f64 (.f64 2 x)) (.f64 (pow.f64 c 2) (.f64 (.f64 (*.f64 x s) s) x)))
	22.6b	(/.f64 (cos.f64 (.f64 2 x)) (.f64 (pow.f64 c 2) (.f64 (.f64 (.f64 x (.f64 s (cbrt.f64 s))) (pow.f64 (cbrt.f64 s) 2)) x)))
	44.4b	(/.f64 (cos.f64 (.f64 2 x)) (.f64 (pow.f64 c 2) (.f64 (.f64 x (.f64 s (.f64 s (sqrt.f64 x)))) (sqrt.f64 x))))
	27.0b	(/.f64 (cos.f64 (.f64 2 x)) (.f64 (.f64 (cbrt.f64 (pow.f64 c 2)) (cbrt.f64 (pow.f64 c 2))) (.f64 (cbrt.f64 (pow.f64 c 2)) (.f64 (.f64 x (pow.f64 s 2)) x))))
	46.7b	(/.f64 (cos.f64 (.f64 2 x)) (.f64 (pow.f64 c 2) (.f64 (.f64 (.f64 (sqrt.f64 x) (pow.f64 (sqrt.f64 s) 2)) (.f64 (sqrt.f64 x) (pow.f64 (sqrt.f64 s) 2))) x)))

Compiler

Compiled 5118 to 3100 computations (39.4% saved)

localize10.0ms (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))
✓	0.4b	(/.f64 (cos.f64 (.f64 2 x)) (.f64 (pow.f64 c 2) (.f64 (fabs.f64 (.f64 s x)) (fabs.f64 (*.f64 s x)))))
✓	17.5b	(.f64 (pow.f64 c 2) (.f64 (fabs.f64 (.f64 s x)) (fabs.f64 (.f64 s x))))

series178.0ms (1.9%)

Counts

4 → 100

Calls

4 calls:

142.0ms	(/.f64 (cos.f64 (.f64 2 x)) (.f64 (pow.f64 c 2) (.f64 (fabs.f64 (.f64 s x)) (fabs.f64 (*.f64 s x)))))
27.0ms	(.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))

rewrite25.0ms (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:

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)))
1.0ms	(cos.f64 (*.f64 2 x))

simplify109.0ms (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

prune306.0ms (3.3%)

Pruning

16 alts after pruning (16 fresh and 0 done)

	Pruned	Kept	Total
New	155	9	164
Fresh	8	7	15
Picked	1	0	1
Done	0	0	0
Total	164	16	180

Error

2.7b

Counts

180 → 16

Alt Table

Status	Error	Program
	25.1b	(/.f64 (cos.f64 (.f64 2 x)) (.f64 (.f64 (pow.f64 c 2) (.f64 x (pow.f64 s 2))) x))
	23.5b	(/.f64 1 (.f64 (pow.f64 c 2) (pow.f64 (fabs.f64 (.f64 s x)) 2)))
	45.4b	(/.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)))))
	31.2b	(/.f64 (cos.f64 (.f64 2 x)) (.f64 (pow.f64 s 2) (*.f64 (pow.f64 c 2) (pow.f64 x 2))))
	31.3b	(.f64 (.f64 (cbrt.f64 (/.f64 (cos.f64 (.f64 2 x)) (.f64 (.f64 s s) (.f64 (.f64 c c) (.f64 x x))))) (cbrt.f64 (/.f64 (cos.f64 (.f64 2 x)) (.f64 (.f64 s s) (.f64 (.f64 c c) (.f64 x x)))))) (cbrt.f64 (/.f64 (cos.f64 (.f64 2 x)) (.f64 (.f64 s s) (.f64 (.f64 c c) (.f64 x x))))))
	44.4b	(/.f64 (cos.f64 (.f64 2 x)) (.f64 (pow.f64 c 2) (.f64 (.f64 x (.f64 s (.f64 s (sqrt.f64 x)))) (sqrt.f64 x))))
	18.8b	(.f64 (cos.f64 (.f64 2 x)) (/.f64 1 (.f64 (.f64 c c) (pow.f64 (fabs.f64 (*.f64 s x)) 2))))
	7.2b	(/.f64 (cos.f64 (.f64 2 x)) (.f64 (.f64 c (.f64 c (fabs.f64 (.f64 s x)))) (fabs.f64 (.f64 s x))))
	34.7b	(/.f64 (.f64 (sqrt.f64 (cos.f64 (.f64 2 x))) (sqrt.f64 (cos.f64 (.f64 2 x)))) (.f64 (pow.f64 c 2) (.f64 (fabs.f64 (.f64 s x)) (fabs.f64 (*.f64 s x)))))
	31.6b	(.f64 (/.f64 1 (.f64 c c)) (/.f64 (cos.f64 (.f64 2 x)) (.f64 (.f64 s s) (.f64 x x))))
	48.6b	(/.f64 (cos.f64 (.f64 2 x)) (exp.f64 (.f64 2 (log.f64 (.f64 c (fabs.f64 (.f64 s x)))))))
▶	3.3b	(/.f64 (cos.f64 (.f64 2 x)) (pow.f64 (.f64 c (fabs.f64 (*.f64 s x))) 2))
	19.0b	(/.f64 (cos.f64 (.f64 2 x)) (.f64 (pow.f64 c 2) (.f64 (.f64 (fabs.f64 (.f64 s x)) (.f64 (cbrt.f64 (fabs.f64 (.f64 s x))) (cbrt.f64 (fabs.f64 (.f64 s x))))) (cbrt.f64 (fabs.f64 (*.f64 s x))))))
	20.3b	(/.f64 (cos.f64 (.f64 2 x)) (.f64 (pow.f64 c 2) (.f64 (.f64 (*.f64 x s) s) x)))
	13.7b	(/.f64 (cos.f64 (.f64 2 x)) (.f64 c (.f64 c (pow.f64 (fabs.f64 (.f64 s x)) 2))))
	19.3b	(/.f64 (/.f64 (cos.f64 (.f64 2 x)) (pow.f64 c 2)) (.f64 (fabs.f64 (.f64 s x)) (fabs.f64 (.f64 s x))))

Compiler

Compiled 4786 to 2356 computations (50.8% saved)

localize9.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(pow.f64 (.f64 c (fabs.f64 (.f64 s x))) 2)
	0.2b	(cos.f64 (*.f64 2 x))
✓	0.4b	(/.f64 (cos.f64 (.f64 2 x)) (pow.f64 (.f64 c (fabs.f64 (*.f64 s x))) 2))
✓	5.2b	(.f64 c (fabs.f64 (.f64 s x)))

series152.0ms (1.6%)

Counts

3 → 72

Calls

3 calls:

127.0ms	(/.f64 (cos.f64 (.f64 2 x)) (pow.f64 (.f64 c (fabs.f64 (*.f64 s x))) 2))
17.0ms	(pow.f64 (.f64 c (fabs.f64 (.f64 s x))) 2)
8.0ms	(.f64 c (fabs.f64 (.f64 s x)))

rewrite17.0ms (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:

5.0ms	(pow.f64 (.f64 c (fabs.f64 (.f64 s x))) 2)
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)))

simplify96.0ms (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

prune186.0ms (2%)

Pruning

12 alts after pruning (12 fresh and 0 done)

	Pruned	Kept	Total
New	114	11	125
Fresh	14	1	15
Picked	1	0	1
Done	0	0	0
Total	129	12	141

Error

0.0b

Counts

141 → 12

Alt Table

Status	Error	Program
	3.1b	(.f64 (/.f64 (.f64 (cbrt.f64 (cos.f64 (.f64 2 x))) (cbrt.f64 (cos.f64 (.f64 2 x)))) (.f64 c (fabs.f64 (.f64 s x)))) (/.f64 (cbrt.f64 (cos.f64 (.f64 2 x))) (.f64 c (fabs.f64 (*.f64 s x)))))
	24.0b	(/.f64 (.f64 (sqrt.f64 (cos.f64 (.f64 2 x))) (sqrt.f64 (cos.f64 (.f64 2 x)))) (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))))
	3.3b	(/.f64 (log.f64 (exp.f64 (cos.f64 (.f64 2 x)))) (pow.f64 (.f64 c (fabs.f64 (*.f64 s x))) 2))
	3.7b	(/.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)))
	3.0b	(/.f64 (/.f64 (cos.f64 (.f64 2 x)) (.f64 c (fabs.f64 (.f64 s x)))) (.f64 c (fabs.f64 (*.f64 s x))))
	19.3b	(.f64 (/.f64 1 (pow.f64 c 2)) (/.f64 (cos.f64 (.f64 2 x)) (pow.f64 (fabs.f64 (*.f64 s x)) 2)))
	19.3b	(/.f64 (/.f64 (cos.f64 (.f64 2 x)) (pow.f64 c 2)) (pow.f64 (fabs.f64 (.f64 s x)) 2))
	3.3b	(/.f64 (log1p.f64 (expm1.f64 (cos.f64 (.f64 2 x)))) (pow.f64 (.f64 c (fabs.f64 (*.f64 s x))) 2))
	3.6b	(.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))))
	3.1b	(/.f64 (-.f64 (.f64 (cos.f64 x) (cos.f64 x)) (.f64 (sin.f64 x) (sin.f64 x))) (pow.f64 (.f64 c (fabs.f64 (.f64 s x))) 2))
▶	2.8b	(/.f64 (cos.f64 (.f64 2 x)) (pow.f64 (.f64 (*.f64 c (fabs.f64 s)) (fabs.f64 x)) 2))

Compiler

Compiled 3312 to 1817 computations (45.1% saved)

localize10.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(pow.f64 (.f64 (.f64 c (fabs.f64 s)) (fabs.f64 x)) 2)
	0.2b	(cos.f64 (*.f64 2 x))
✓	0.4b	(/.f64 (cos.f64 (.f64 2 x)) (pow.f64 (.f64 (*.f64 c (fabs.f64 s)) (fabs.f64 x)) 2))
✓	4.1b	(.f64 (.f64 c (fabs.f64 s)) (fabs.f64 x))

series281.0ms (3%)

Counts

3 → 108

Calls

3 calls:

241.0ms	(/.f64 (cos.f64 (.f64 2 x)) (pow.f64 (.f64 (*.f64 c (fabs.f64 s)) (fabs.f64 x)) 2))
26.0ms	(pow.f64 (.f64 (.f64 c (fabs.f64 s)) (fabs.f64 x)) 2)
13.0ms	(.f64 (.f64 c (fabs.f64 s)) (fabs.f64 x))

rewrite20.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Rules

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

Counts

3 → 92

Calls

3 calls:

5.0ms	(/.f64 (cos.f64 (.f64 2 x)) (pow.f64 (.f64 (*.f64 c (fabs.f64 s)) (fabs.f64 x)) 2))
5.0ms	(.f64 (.f64 c (fabs.f64 s)) (fabs.f64 x))
5.0ms	(pow.f64 (.f64 (.f64 c (fabs.f64 s)) (fabs.f64 x)) 2)

simplify114.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

480×	`associate-/l/_binary64`
283×	`associate-*l/_binary64`
273×	`fma-def_binary64`
266×	`unswap-sqr_binary64`
245×	`log-prod_binary64`

Counts

200 → 157

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	177	4049
1	361	3907
2	1756	3439
3	4338	3439
4	4950	3439

prune307.0ms (3.3%)

Pruning

14 alts after pruning (14 fresh and 0 done)

	Pruned	Kept	Total
New	167	8	175
Fresh	5	6	11
Picked	1	0	1
Done	0	0	0
Total	173	14	187

Error

0.0b

Counts

187 → 14

Alt Table

Status	Error	Program
	19.3b	(/.f64 (/.f64 (cos.f64 (.f64 2 x)) (pow.f64 c 2)) (pow.f64 (fabs.f64 (.f64 s x)) 2))
	17.5b	(/.f64 (/.f64 (cos.f64 (.f64 x 2)) (.f64 c (.f64 (fabs.f64 s) x))) (sqrt.f64 (pow.f64 (.f64 (*.f64 c (fabs.f64 s)) (fabs.f64 x)) 2)))
	2.8b	(.f64 (cos.f64 (.f64 2 x)) (/.f64 1 (pow.f64 (.f64 (.f64 c (fabs.f64 s)) (fabs.f64 x)) 2)))
	24.0b	(/.f64 (.f64 (sqrt.f64 (cos.f64 (.f64 2 x))) (sqrt.f64 (cos.f64 (.f64 2 x)))) (pow.f64 (.f64 c (fabs.f64 (*.f64 s x))) 2))
	3.6b	(.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))))
	3.0b	(.f64 (/.f64 1 (.f64 c (.f64 (fabs.f64 s) x))) (/.f64 (cos.f64 (.f64 x 2)) (.f64 c (.f64 (fabs.f64 s) x))))
	2.9b	(/.f64 (cos.f64 (.f64 2 x)) (pow.f64 (.f64 (.f64 (.f64 c (fabs.f64 s)) (sqrt.f64 (fabs.f64 x))) (sqrt.f64 (fabs.f64 x))) 2))
	19.1b	(/.f64 (/.f64 (cos.f64 (.f64 2 x)) (pow.f64 (.f64 c (fabs.f64 s)) 2)) (pow.f64 (fabs.f64 x) 2))
	2.6b	(.f64 (/.f64 1 (.f64 (.f64 c (fabs.f64 s)) (fabs.f64 x))) (/.f64 (cos.f64 (.f64 2 x)) (.f64 (.f64 c (fabs.f64 s)) (fabs.f64 x))))
	3.0b	(/.f64 (/.f64 (cos.f64 (.f64 2 x)) (.f64 c (fabs.f64 (.f64 s x)))) (.f64 c (fabs.f64 (*.f64 s x))))
	3.3b	(/.f64 1 (/.f64 (pow.f64 (.f64 c (.f64 (fabs.f64 s) x)) 2) (cos.f64 (*.f64 x 2))))
	16.7b	(/.f64 (/.f64 (cos.f64 (.f64 x 2)) (.f64 c (.f64 (fabs.f64 s) x))) (.f64 (*.f64 c (fabs.f64 s)) (fabs.f64 x)))
	3.1b	(/.f64 (-.f64 (.f64 (cos.f64 x) (cos.f64 x)) (.f64 (sin.f64 x) (sin.f64 x))) (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))))

Compiler

Compiled 4246 to 2181 computations (48.6% saved)

regimes1.6s (17.3%)

Accuracy

Total 1.3b remaining (94.7%)

Threshold costs 0b (0%)

Counts

208 → 2

Compiler

Compiled 33864 to 23150 computations (31.6% saved)

bsearch9.0ms (0.1%)

Compiler: Compiled 19 to 14 computations (26.3% saved)

simplify4.0ms (0%)

Algorithm

1×	egg-herbie

Rules

9×	`*-commutative_binary64`
2×	`fabs-mul_binary64`
1×	`1-exp_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	30	92
1	42	92
2	43	92
3	42	92

end219.0ms (2.4%)

Remove: (sort c s)
Compiler: Compiled 571 to 360 computations (37% saved)

Details

analyze1.3s (13.5%)

sample3.6s (39.2%)

simplify109.0ms (1.2%)

prune3.0ms (0%)

localize12.0ms (0.1%)

series179.0ms (1.9%)

rewrite34.0ms (0.4%)

simplify142.0ms (1.5%)

prune248.0ms (2.7%)

localize10.0ms (0.1%)

series178.0ms (1.9%)

rewrite25.0ms (0.3%)

simplify109.0ms (1.2%)

prune306.0ms (3.3%)

localize9.0ms (0.1%)

series152.0ms (1.6%)

rewrite17.0ms (0.2%)

simplify96.0ms (1%)

prune186.0ms (2%)

localize10.0ms (0.1%)

series281.0ms (3%)

rewrite20.0ms (0.2%)

simplify114.0ms (1.2%)

prune307.0ms (3.3%)

regimes1.6s (17.3%)

bsearch9.0ms (0.1%)

simplify4.0ms (0%)

end219.0ms (2.4%)

Profiling