Details

analyze1.4s (20.5%)

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)

sample2.8s (40.9%)

Results

1.1s	6345×	body	128	valid
618.0ms	970×	body	1024	valid
362.0ms	2013×	body	128	invalid
261.0ms	580×	body	512	valid
128.0ms	204×	body	1024	invalid
117.0ms	254×	body	512	invalid
111.0ms	356×	body	256	valid
57.0ms	168×	body	256	invalid
5.0ms	5×	body	2048	valid

preprocess89.0ms (1.3%)

Algorithm

2×	egg-herbie

Rules

820×	`unswap-sqr_binary64`
674×	`associate-/l/_binary64`
369×	`sqr-pow_binary64`
227×	`*-commutative_binary64`
161×	`associate-/r*_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	30	96
1	76	96
2	194	96
3	790	96
4	1679	96
5	1730	96
6	1797	96
7	1874	96
8	1961	96
9	2067	96
10	4016	96
11	4164	96
12	4339	96
13	4521	96
14	4721	96
15	4947	96
0	3	3
1	3	3

Stop Event

1×	unsound
1×	node limit

Calls

Call 1

Inputs
0
1
2

Outputs
0
1
2
1

Call 2

Inputs
(/.f64 (cos.f64 (.f64 2 x)) (.f64 (pow.f64 c 2) (.f64 (.f64 x (pow.f64 s 2)) x)))
(/.f64 (cos.f64 (.f64 2 c)) (.f64 (pow.f64 x 2) (.f64 (.f64 c (pow.f64 s 2)) c)))
(/.f64 (cos.f64 (.f64 2 s)) (.f64 (pow.f64 c 2) (.f64 (.f64 s (pow.f64 x 2)) s)))
(/.f64 (cos.f64 (.f64 2 x)) (.f64 (pow.f64 s 2) (.f64 (.f64 x (pow.f64 c 2)) x)))

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

Symmetry

(sort c s)

Compiler

Compiled 19 to 14 computations (26.3% saved)

simplify65.0ms (1%)

Algorithm

1×	egg-herbie

Rules

750×	`unswap-sqr_binary64`
516×	`*-commutative_binary64`
376×	`associate-/l/_binary64`
309×	`sqr-pow_binary64`
243×	`fabs-mul_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	24
1	30	24
2	72	24
3	254	24
4	1145	24
5	2128	24
6	3320	24
7	3397	24
8	3494	24
9	3628	24
10	3813	24
11	4060	24
12	4401	24
13	4796	24

Stop Event

1×	node limit

Counts

1 → 2

Calls

Call 1

Inputs
(/.f64 (cos.f64 (.f64 2 x)) (.f64 (pow.f64 c 2) (.f64 (.f64 x (pow.f64 s 2)) x)))

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

prune4.0ms (0.1%)

Pruning

3 alts after pruning (3 fresh and 0 done)

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

Error

2.9b

Counts

3 → 2

Alt Table

Status	Error	Program
▶	3.0b	(/.f64 (cos.f64 (.f64 2 x)) (.f64 (.f64 x (.f64 c s)) (.f64 x (.f64 c s))))
	28.1b	(/.f64 (cos.f64 (.f64 2 x)) (.f64 (pow.f64 c 2) (.f64 (.f64 x (pow.f64 s 2)) x)))

Compiler

Compiled 111 to 69 computations (37.8% saved)

localize8.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.2b	(/.f64 (cos.f64 (.f64 2 x)) (.f64 (.f64 x (.f64 c s)) (.f64 x (.f64 c s))))
✓	0.3b	(.f64 (.f64 x (.f64 c s)) (.f64 x (*.f64 c s)))
✓	5.7b	(.f64 x (.f64 c s))

series25.0ms (0.4%)

Counts

3 → 108

Calls

27 calls:

Time	Variable		Point	Expression
3.0ms	c	@	0	(.f64 (.f64 x (.f64 c s)) (.f64 x (*.f64 c s)))
3.0ms	x	@	0	(/.f64 (cos.f64 (.f64 2 x)) (.f64 (.f64 x (.f64 c s)) (.f64 x (.f64 c s))))
2.0ms	c	@	0	(/.f64 (cos.f64 (.f64 2 x)) (.f64 (.f64 x (.f64 c s)) (.f64 x (.f64 c s))))
2.0ms	s	@	0	(/.f64 (cos.f64 (.f64 2 x)) (.f64 (.f64 x (.f64 c s)) (.f64 x (.f64 c s))))
1.0ms	x	@	inf	(/.f64 (cos.f64 (.f64 2 x)) (.f64 (.f64 x (.f64 c s)) (.f64 x (.f64 c s))))

rewrite61.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

699×	`log-prod_binary64`
214×	`expm1-udef_binary64`
214×	`log1p-udef_binary64`
205×	`prod-diff_binary64`
183×	`log-pow_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	35
1	236	35
2	3216	35

Stop Event

1×	node limit

Counts

3 → 84

Calls

Call 1

Inputs
(.f64 x (.f64 c s))
(.f64 (.f64 x (.f64 c s)) (.f64 x (*.f64 c s)))
(/.f64 (cos.f64 (.f64 2 x)) (.f64 (.f64 x (.f64 c s)) (.f64 x (.f64 c s))))

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (.f64 c (.f64 s x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 c) s) x)) (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 c) s) x)))) (log.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 c) s) x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 c) s) x))) (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 c) s) x))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (.f64 c (.f64 s x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 c (.f64 s x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (.f64 c (.f64 s x)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (.f64 c (.f64 s x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (.f64 c (.f64 s x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (.f64 c (.f64 s x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (.f64 c (.f64 s x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (.f64 c (.f64 s x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (pow.f64 (exp.f64 c) s) x))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (.f64 c (.f64 s x)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (.f64 c (.f64 s x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (.f64 (pow.f64 x 3) (pow.f64 (.f64 c s) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (.f64 (pow.f64 (.f64 c s) 3) (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (.f64 c (.f64 s x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (.f64 c (.f64 s x))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (.f64 c (.f64 s x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (.f64 c (.f64 s x))))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (pow.f64 (.f64 c (.f64 s x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (.f64 (cbrt.f64 (exp.f64 (pow.f64 (.f64 c (.f64 s x)) 2))) (cbrt.f64 (exp.f64 (pow.f64 (.f64 c (.f64 s x)) 2))))) (log.f64 (cbrt.f64 (exp.f64 (pow.f64 (.f64 c (.f64 s x)) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (.f64 c (.f64 s x)) 2)))) (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (.f64 c (.f64 s x)) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (pow.f64 (.f64 c (.f64 s x)) 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 c (.f64 s x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (.f64 c (.f64 s x)) 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (pow.f64 (.f64 c (.f64 s x)) 2) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (cbrt.f64 (.f64 c (.f64 s x))) 2) 3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (.f64 c (.f64 s x)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 (.f64 c (.f64 s x)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (pow.f64 (.f64 c (.f64 s x)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (pow.f64 (.f64 c (.f64 s x)) 2) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 2 (log.f64 (.f64 c (.f64 s x)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (.f64 c (.f64 s x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (.f64 2 (log.f64 (.f64 c (.f64 s x)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 (.f64 c (.f64 s x)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 (.f64 c (*.f64 s x)) 2)))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (.f64 (cos.f64 (+.f64 x x)) (pow.f64 (.f64 c (.f64 s x)) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (.f64 (cbrt.f64 (exp.f64 (.f64 (cos.f64 (+.f64 x x)) (pow.f64 (.f64 c (.f64 s x)) -2)))) (cbrt.f64 (exp.f64 (.f64 (cos.f64 (+.f64 x x)) (pow.f64 (.f64 c (.f64 s x)) -2)))))) (log.f64 (cbrt.f64 (exp.f64 (.f64 (cos.f64 (+.f64 x x)) (pow.f64 (.f64 c (.f64 s x)) -2))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (.f64 (cos.f64 (+.f64 x x)) (pow.f64 (.f64 c (.f64 s x)) -2))))) (log.f64 (sqrt.f64 (exp.f64 (.f64 (cos.f64 (+.f64 x x)) (pow.f64 (.f64 c (.f64 s x)) -2))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (.f64 (cos.f64 (+.f64 x x)) (pow.f64 (.f64 c (.f64 s x)) -2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (.f64 c (.f64 s x)) 2)) (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (.f64 c (.f64 s x)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cos.f64 (+.f64 x x)) (pow.f64 (.f64 c (.f64 s x)) -2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (cos.f64 (+.f64 x x)) (pow.f64 (.f64 c (.f64 s x)) -2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (.f64 (cos.f64 (+.f64 x x)) (pow.f64 (.f64 c (.f64 s x)) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (.f64 (cos.f64 (+.f64 x x)) (pow.f64 (.f64 c (.f64 s x)) -2))) (pow.f64 (cbrt.f64 (.f64 (cos.f64 (+.f64 x x)) (pow.f64 (.f64 c (.f64 s x)) -2))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (.f64 (cos.f64 (+.f64 x x)) (pow.f64 (.f64 c (.f64 s x)) -2))) 2) (cbrt.f64 (.f64 (cos.f64 (+.f64 x x)) (pow.f64 (.f64 c (.f64 s x)) -2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (cos.f64 (+.f64 x x))) 2) (.f64 (cbrt.f64 (cos.f64 (+.f64 x x))) (pow.f64 (.f64 c (.f64 s x)) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (sqrt.f64 (cos.f64 (+.f64 x x))) (.f64 c (.f64 s x))) (/.f64 (sqrt.f64 (cos.f64 (+.f64 x x))) (.f64 c (.f64 s x))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (cos.f64 (+.f64 x x))) (.f64 (sqrt.f64 (cos.f64 (+.f64 x x))) (pow.f64 (.f64 c (.f64 s x)) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (neg.f64 (cos.f64 (+.f64 x x))) (/.f64 1 (neg.f64 (pow.f64 (.f64 c (.f64 s x)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (.f64 c (.f64 s x)) -2) (cos.f64 (+.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (cos.f64 (+.f64 x x)) (.f64 c (.f64 s x))) (/.f64 1 (.f64 c (.f64 s x))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 x) (/.f64 (cos.f64 (+.f64 x x)) (.f64 (pow.f64 (.f64 c s) 2) x)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (pow.f64 (cbrt.f64 (cos.f64 (+.f64 x x))) 2) x) (/.f64 (cbrt.f64 (cos.f64 (+.f64 x x))) (.f64 (pow.f64 (.f64 c s) 2) x)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (sqrt.f64 (cos.f64 (+.f64 x x))) x) (/.f64 (sqrt.f64 (cos.f64 (+.f64 x x))) (.f64 (pow.f64 (.f64 c s) 2) x)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (.f64 c (.f64 s x))) (/.f64 (cos.f64 (+.f64 x x)) (.f64 c (.f64 s x))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (pow.f64 (cbrt.f64 (cos.f64 (+.f64 x x))) 2) (.f64 c (.f64 s x))) (/.f64 (cbrt.f64 (cos.f64 (+.f64 x x))) (.f64 c (.f64 s x))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (pow.f64 (cbrt.f64 (cos.f64 (+.f64 x x))) 2) 1) (/.f64 (cbrt.f64 (cos.f64 (+.f64 x x))) (pow.f64 (.f64 c (.f64 s x)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (sqrt.f64 (cos.f64 (+.f64 x x))) 1) (/.f64 (sqrt.f64 (cos.f64 (+.f64 x x))) (pow.f64 (.f64 c (.f64 s x)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (.f64 x x)) (/.f64 (cos.f64 (+.f64 x x)) (pow.f64 (.f64 c s) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (pow.f64 (cbrt.f64 (cos.f64 (+.f64 x x))) 2) (.f64 x x)) (/.f64 (cbrt.f64 (cos.f64 (+.f64 x x))) (pow.f64 (.f64 c s) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (sqrt.f64 (cos.f64 (+.f64 x x))) (.f64 x x)) (/.f64 (sqrt.f64 (cos.f64 (+.f64 x x))) (pow.f64 (.f64 c s) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (cbrt.f64 (pow.f64 (.f64 c (.f64 s x)) 4))) (/.f64 (cos.f64 (+.f64 x x)) (pow.f64 (cbrt.f64 (.f64 c (.f64 s x))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (pow.f64 (cbrt.f64 (cos.f64 (+.f64 x x))) 2) (cbrt.f64 (pow.f64 (.f64 c (.f64 s x)) 4))) (cbrt.f64 (.f64 (cos.f64 (+.f64 x x)) (pow.f64 (.f64 c (.f64 s x)) -2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (sqrt.f64 (cos.f64 (+.f64 x x))) (cbrt.f64 (pow.f64 (.f64 c (.f64 s x)) 4))) (/.f64 (sqrt.f64 (cos.f64 (+.f64 x x))) (pow.f64 (cbrt.f64 (.f64 c (.f64 s x))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (.f64 x (.f64 c (.f64 s x)))) (/.f64 (cos.f64 (+.f64 x x)) (.f64 c s)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (pow.f64 (cbrt.f64 (cos.f64 (+.f64 x x))) 2) (.f64 x (.f64 c (.f64 s x)))) (/.f64 (cbrt.f64 (cos.f64 (+.f64 x x))) (.f64 c s)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (sqrt.f64 (cos.f64 (+.f64 x x))) (.f64 x (.f64 c (.f64 s x)))) (/.f64 (sqrt.f64 (cos.f64 (+.f64 x x))) (.f64 c s)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 (cos.f64 (+.f64 x x)) (pow.f64 (.f64 c (.f64 s x)) -2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (.f64 (cos.f64 (+.f64 x x)) (pow.f64 (.f64 c (.f64 s x)) -2)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (.f64 (cos.f64 (+.f64 x x)) (pow.f64 (.f64 c (.f64 s x)) -2))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (sqrt.f64 (cos.f64 (+.f64 x x))) (.f64 c (.f64 s x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (pow.f64 (.f64 c (.f64 s x)) 2) (cos.f64 (+.f64 x x))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (cos.f64 (+.f64 x x)) (neg.f64 (pow.f64 (.f64 c (.f64 s x)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (/.f64 (pow.f64 (cos.f64 (+.f64 x x)) 2) (pow.f64 (.f64 c (.f64 s x)) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (.f64 (cos.f64 (+.f64 x x)) (pow.f64 (.f64 c (.f64 s x)) -2))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (.f64 (cos.f64 (+.f64 x x)) (pow.f64 (.f64 c (.f64 s x)) -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (.f64 (cos.f64 (+.f64 x x)) (pow.f64 (.f64 c (.f64 s x)) -2)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (cos.f64 (+.f64 x x)) 3) (pow.f64 (pow.f64 (.f64 c (.f64 s x)) 2) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (.f64 (cos.f64 (+.f64 x x)) (pow.f64 (.f64 c (.f64 s x)) -2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (.f64 (cos.f64 (+.f64 x x)) (pow.f64 (.f64 c (.f64 s x)) -2))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (.f64 (cos.f64 (+.f64 x x)) (pow.f64 (.f64 c (.f64 s x)) -2))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (.f64 (cos.f64 (+.f64 x x)) (pow.f64 (.f64 c (*.f64 s x)) -2))))))))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 c (*.f64 s x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 c) s) x)) (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 c) s) x)))) (log.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 c) s) x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 c) s) x))) (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 c) s) x))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 c (*.f64 s x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 c (*.f64 s x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 c (*.f64 s x)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 c (*.f64 s x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 c (*.f64 s x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 c (*.f64 s x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 c (*.f64 s x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (*.f64 c (*.f64 s x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (pow.f64 (exp.f64 c) s) x))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 c (*.f64 s x)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 c (*.f64 s x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 x 3) (pow.f64 (*.f64 c s) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (*.f64 c s) 3) (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 c (*.f64 s x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 c (*.f64 s x))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 c (*.f64 s x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 c (*.f64 s x))))))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (pow.f64 (*.f64 c (*.f64 s x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (pow.f64 (*.f64 c (*.f64 s x)) 2))) (cbrt.f64 (exp.f64 (pow.f64 (*.f64 c (*.f64 s x)) 2))))) (log.f64 (cbrt.f64 (exp.f64 (pow.f64 (*.f64 c (*.f64 s x)) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (*.f64 c (*.f64 s x)) 2)))) (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (*.f64 c (*.f64 s x)) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (pow.f64 (*.f64 c (*.f64 s x)) 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 c (*.f64 s x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 c (*.f64 s x)) 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (pow.f64 (*.f64 c (*.f64 s x)) 2) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (cbrt.f64 (*.f64 c (*.f64 s x))) 2) 3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 c (*.f64 s x)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 (*.f64 c (*.f64 s x)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (pow.f64 (*.f64 c (*.f64 s x)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (pow.f64 (*.f64 c (*.f64 s x)) 2) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 2 (log.f64 (*.f64 c (*.f64 s x)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 c (*.f64 s x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 2 (log.f64 (*.f64 c (*.f64 s x)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 (*.f64 c (*.f64 s x)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 (*.f64 c (*.f64 s x)) 2)))))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (cos.f64 (+.f64 x x)) (pow.f64 (*.f64 c (*.f64 s x)) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (*.f64 (cos.f64 (+.f64 x x)) (pow.f64 (*.f64 c (*.f64 s x)) -2)))) (cbrt.f64 (exp.f64 (*.f64 (cos.f64 (+.f64 x x)) (pow.f64 (*.f64 c (*.f64 s x)) -2)))))) (log.f64 (cbrt.f64 (exp.f64 (*.f64 (cos.f64 (+.f64 x x)) (pow.f64 (*.f64 c (*.f64 s x)) -2))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (*.f64 (cos.f64 (+.f64 x x)) (pow.f64 (*.f64 c (*.f64 s x)) -2))))) (log.f64 (sqrt.f64 (exp.f64 (*.f64 (cos.f64 (+.f64 x x)) (pow.f64 (*.f64 c (*.f64 s x)) -2))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (cos.f64 (+.f64 x x)) (pow.f64 (*.f64 c (*.f64 s x)) -2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (*.f64 c (*.f64 s x)) 2)) (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (*.f64 c 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*.f64 (/.f64 (sqrt.f64 (cos.f64 (+.f64 x x))) (*.f64 c (*.f64 s x))) (/.f64 (sqrt.f64 (cos.f64 (+.f64 x x))) (*.f64 c (*.f64 s x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (cos.f64 (+.f64 x x))) (*.f64 (sqrt.f64 (cos.f64 (+.f64 x x))) (pow.f64 (*.f64 c (*.f64 s x)) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (cos.f64 (+.f64 x x))) (/.f64 1 (neg.f64 (pow.f64 (*.f64 c (*.f64 s x)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 c (*.f64 s x)) -2) (cos.f64 (+.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cos.f64 (+.f64 x x)) (*.f64 c (*.f64 s x))) (/.f64 1 (*.f64 c (*.f64 s x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 x) (/.f64 (cos.f64 (+.f64 x x)) (*.f64 (pow.f64 (*.f64 c s) 2) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (cos.f64 (+.f64 x x))) 2) x) (/.f64 (cbrt.f64 (cos.f64 (+.f64 x x))) (*.f64 (pow.f64 (*.f64 c s) 2) x)))))) (#(struct:change 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(pow.f64 (cbrt.f64 (cos.f64 (+.f64 x x))) 2) (*.f64 x x)) (/.f64 (cbrt.f64 (cos.f64 (+.f64 x x))) (pow.f64 (*.f64 c s) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (cos.f64 (+.f64 x x))) (*.f64 x x)) (/.f64 (sqrt.f64 (cos.f64 (+.f64 x x))) (pow.f64 (*.f64 c s) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cbrt.f64 (pow.f64 (*.f64 c (*.f64 s x)) 4))) (/.f64 (cos.f64 (+.f64 x x)) (pow.f64 (cbrt.f64 (*.f64 c (*.f64 s x))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (cos.f64 (+.f64 x x))) 2) (cbrt.f64 (pow.f64 (*.f64 c (*.f64 s x)) 4))) (cbrt.f64 (*.f64 (cos.f64 (+.f64 x x)) (pow.f64 (*.f64 c (*.f64 s x)) -2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (cos.f64 (+.f64 x x))) (cbrt.f64 (pow.f64 (*.f64 c (*.f64 s x)) 4))) (/.f64 (sqrt.f64 (cos.f64 (+.f64 x x))) (pow.f64 (cbrt.f64 (*.f64 c (*.f64 s x))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (*.f64 x (*.f64 c (*.f64 s x)))) (/.f64 (cos.f64 (+.f64 x x)) (*.f64 c s)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (cos.f64 (+.f64 x x))) 2) (*.f64 x (*.f64 c (*.f64 s x)))) (/.f64 (cbrt.f64 (cos.f64 (+.f64 x x))) (*.f64 c s)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (cos.f64 (+.f64 x x))) (*.f64 x (*.f64 c (*.f64 s x)))) (/.f64 (sqrt.f64 (cos.f64 (+.f64 x x))) (*.f64 c s)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (cos.f64 (+.f64 x x)) (pow.f64 (*.f64 c (*.f64 s x)) -2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (cos.f64 (+.f64 x x)) (pow.f64 (*.f64 c (*.f64 s x)) -2)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (cos.f64 (+.f64 x x)) (pow.f64 (*.f64 c (*.f64 s x)) -2))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (sqrt.f64 (cos.f64 (+.f64 x x))) (*.f64 c (*.f64 s x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (pow.f64 (*.f64 c (*.f64 s x)) 2) (cos.f64 (+.f64 x x))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (cos.f64 (+.f64 x x)) (neg.f64 (pow.f64 (*.f64 c (*.f64 s x)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (/.f64 (pow.f64 (cos.f64 (+.f64 x x)) 2) (pow.f64 (*.f64 c (*.f64 s x)) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (*.f64 (cos.f64 (+.f64 x x)) (pow.f64 (*.f64 c (*.f64 s x)) -2))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (cos.f64 (+.f64 x x)) (pow.f64 (*.f64 c (*.f64 s x)) -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (cos.f64 (+.f64 x x)) (pow.f64 (*.f64 c (*.f64 s x)) -2)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (cos.f64 (+.f64 x x)) 3) (pow.f64 (pow.f64 (*.f64 c (*.f64 s x)) 2) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (cos.f64 (+.f64 x x)) (pow.f64 (*.f64 c (*.f64 s x)) -2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (cos.f64 (+.f64 x x)) (pow.f64 (*.f64 c (*.f64 s x)) -2))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (cos.f64 (+.f64 x x)) (pow.f64 (*.f64 c (*.f64 s x)) -2))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (cos.f64 (+.f64 x x)) (pow.f64 (*.f64 c (*.f64 s x)) -2))))))))

simplify49.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

871×	`associate-/l*_binary64`
514×	`fma-def_binary64`
436×	`associate-/l/_binary64`
418×	`associate-*l/_binary64`
334×	`unswap-sqr_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	40	1778
1	111	1774
2	317	1774
3	1586	1769

Stop Event

1×	node limit

Counts

192 → 101

Calls

Call 1

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

prune194.0ms (2.8%)

Pruning

15 alts after pruning (14 fresh and 1 done)

	Pruned	Kept	Total
New	110	14	124
Fresh	1	0	1
Picked	0	1	1
Done	0	0	0
Total	111	15	126

Error

0.0b

Counts

126 → 15

Alt Table

Status	Error	Program
	3.9b	(.f64 (/.f64 (pow.f64 (cbrt.f64 (cos.f64 (+.f64 x x))) 2) 1) (/.f64 (cbrt.f64 (cos.f64 (+.f64 x x))) (pow.f64 (.f64 c (*.f64 s x)) 2)))
	19.6b	(/.f64 (cos.f64 (.f64 2 x)) (.f64 s (.f64 x (.f64 (.f64 x (.f64 c c)) s))))
	13.8b	(.f64 (/.f64 (pow.f64 (cbrt.f64 (cos.f64 (+.f64 x x))) 2) x) (/.f64 (cbrt.f64 (cos.f64 (+.f64 x x))) (.f64 (pow.f64 (*.f64 c s) 2) x)))
	6.1b	(/.f64 (cos.f64 (.f64 2 x)) (.f64 (.f64 x (.f64 c s)) (.f64 c (.f64 s x))))
✓	3.0b	(/.f64 (cos.f64 (.f64 2 x)) (.f64 (.f64 x (.f64 c s)) (.f64 x (.f64 c s))))
	4.0b	(pow.f64 (cbrt.f64 (.f64 (cos.f64 (+.f64 x x)) (pow.f64 (.f64 c (*.f64 s x)) -2))) 3)
	3.8b	(.f64 (pow.f64 (cbrt.f64 (cos.f64 (+.f64 x x))) 2) (.f64 (cbrt.f64 (cos.f64 (+.f64 x x))) (pow.f64 (.f64 c (.f64 s x)) -2)))
	27.5b	(.f64 (/.f64 (sqrt.f64 (cos.f64 (+.f64 x x))) (.f64 x (.f64 c (.f64 s x)))) (/.f64 (sqrt.f64 (cos.f64 (+.f64 x x))) (*.f64 c s)))
	13.6b	(.f64 (/.f64 1 x) (/.f64 (cos.f64 (+.f64 x x)) (.f64 (pow.f64 (*.f64 c s) 2) x)))
▶	3.7b	(.f64 (/.f64 (cos.f64 (+.f64 x x)) (.f64 c (.f64 s x))) (/.f64 1 (.f64 c (*.f64 s x))))
	3.7b	(pow.f64 (/.f64 (pow.f64 (.f64 c (.f64 s x)) 2) (cos.f64 (+.f64 x x))) -1)
	34.4b	(/.f64 (cos.f64 (.f64 2 x)) (.f64 (.f64 x (.f64 c s)) (pow.f64 (sqrt.f64 (.f64 c (.f64 s x))) 2)))
	10.2b	(.f64 (/.f64 1 (.f64 x (.f64 c (.f64 s x)))) (/.f64 (cos.f64 (+.f64 x x)) (*.f64 c s)))
	19.0b	(.f64 (/.f64 (pow.f64 (cbrt.f64 (cos.f64 (+.f64 x x))) 2) (cbrt.f64 (pow.f64 (.f64 c (.f64 s x)) 4))) (cbrt.f64 (.f64 (cos.f64 (+.f64 x x)) (pow.f64 (.f64 c (.f64 s x)) -2))))
	19.0b	(.f64 (/.f64 1 (cbrt.f64 (pow.f64 (.f64 c (.f64 s x)) 4))) (/.f64 (cos.f64 (+.f64 x x)) (pow.f64 (cbrt.f64 (.f64 c (*.f64 s x))) 2)))

Compiler

Compiled 3106 to 1424 computations (54.2% saved)

localize10.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(.f64 (/.f64 (cos.f64 (+.f64 x x)) (.f64 c (.f64 s x))) (/.f64 1 (.f64 c (*.f64 s x))))
✓	0.7b	(/.f64 (cos.f64 (+.f64 x x)) (.f64 c (.f64 s x)))
✓	0.7b	(/.f64 1 (.f64 c (.f64 s x)))
✓	5.6b	(.f64 c (.f64 s x))

series29.0ms (0.4%)

Counts

4 → 100

Calls

36 calls:

Time	Variable		Point	Expression
5.0ms	x	@	0	(/.f64 (cos.f64 (+.f64 x x)) (.f64 c (.f64 s x)))
2.0ms	c	@	0	(.f64 (/.f64 (cos.f64 (+.f64 x x)) (.f64 c (.f64 s x))) (/.f64 1 (.f64 c (*.f64 s x))))
2.0ms	x	@	inf	(.f64 c (.f64 s x))
1.0ms	x	@	-inf	(/.f64 (cos.f64 (+.f64 x x)) (.f64 c (.f64 s x)))
1.0ms	x	@	-inf	(.f64 (/.f64 (cos.f64 (+.f64 x x)) (.f64 c (.f64 s x))) (/.f64 1 (.f64 c (*.f64 s x))))

rewrite71.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

541×	`prod-diff_binary64`
221×	`log1p-udef_binary64`
135×	`add-sqr-sqrt_binary64`
131×	`*-un-lft-identity_binary64`
131×	`pow1_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	12	56
1	264	50
2	3905	50

Stop Event

1×	node limit

Counts

4 → 161

Calls

Call 1

Inputs
(.f64 c (.f64 s x))
(/.f64 1 (.f64 c (.f64 s x)))
(/.f64 (cos.f64 (+.f64 x x)) (.f64 c (.f64 s x)))
(.f64 (/.f64 (cos.f64 (+.f64 x x)) (.f64 c (.f64 s x))) (/.f64 1 (.f64 c (*.f64 s x))))

Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (.f64 x (.f64 c s)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 c (/.f64 1 (.f64 s x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 s x) (/.f64 1 c))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 x (.f64 c s)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 1 (.f64 x (.f64 c s))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (cbrt.f64 (.f64 x (.f64 c s))) 2) (/.f64 1 (cbrt.f64 (.f64 x (.f64 c s)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (.f64 x (.f64 c s))) (pow.f64 (.f64 x (.f64 c s)) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (.f64 s x) (neg.f64 c)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 c s) (/.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 x (.f64 c s)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (.f64 x (.f64 c s)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (.f64 x (.f64 c s))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (.f64 x (.f64 c s))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (.f64 x (.f64 c s)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (pow.f64 (exp.f64 s) x) c))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (.f64 x (.f64 c s)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (.f64 x (.f64 c s)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (.f64 (pow.f64 c 3) (pow.f64 (.f64 s x) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (.f64 (pow.f64 (.f64 s x) 3) (pow.f64 c 3)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (.f64 x (.f64 c s))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (.f64 x (.f64 c s))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (.f64 x (.f64 c s))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (.f64 x (.f64 c s))))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 1 (.f64 x (.f64 c s))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (/.f64 1 (.f64 x (.f64 c s))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (.f64 x (.f64 c s))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (cbrt.f64 (.f64 x (.f64 c s)))) (cbrt.f64 (pow.f64 (.f64 x (.f64 c s)) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (pow.f64 (.f64 x (.f64 c s)) -2)) (/.f64 1 (cbrt.f64 (.f64 x (.f64 c s)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (.f64 x (.f64 c s)) -1/2) (pow.f64 (.f64 x (.f64 c s)) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 -1 (/.f64 1 (.f64 (.f64 s x) (neg.f64 c))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 c) (pow.f64 (.f64 s x) -1))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 c) (/.f64 1 (.f64 s x)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (.f64 s x) -1) (/.f64 1 c))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (pow.f64 (cbrt.f64 (.f64 x (.f64 c s))) 2) -1) (pow.f64 (cbrt.f64 (.f64 x (.f64 c s))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (sqrt.f64 (.f64 x (.f64 c s))) -1) (pow.f64 (sqrt.f64 (.f64 x (.f64 c s))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (.f64 c s) -1) (pow.f64 x -1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 x (.f64 c s)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (.f64 x (.f64 c s))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 1 (.f64 x (.f64 c s))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (cbrt.f64 (.f64 x (.f64 c s)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (.f64 x (.f64 c s)) -1/2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (.f64 x (.f64 c s)) -2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 1 (.f64 x (.f64 c s)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (.f64 x (.f64 c s))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 1 (.f64 x (.f64 c s))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (neg.f64 (log.f64 (.f64 x (.f64 c s)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (.f64 x (.f64 c s))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (neg.f64 (log.f64 (.f64 x (.f64 c s)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 1 (.f64 x (.f64 c s)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 1 (.f64 x (.f64 c s)))))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (cos.f64 (+.f64 x x)) (.f64 x (.f64 c s))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 (cos.f64 x) 2) (.f64 x (.f64 c s))) (/.f64 (pow.f64 (sin.f64 x) 2) (.f64 x (.f64 c s))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (/.f64 (cos.f64 (+.f64 x x)) (.f64 x (.f64 c s))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (.f64 x (.f64 c s))) (cos.f64 (+.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cos.f64 (+.f64 x x)) (/.f64 1 (.f64 x (.f64 c s))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (cos.f64 (+.f64 x x)) (.f64 x (.f64 c s))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (/.f64 (cos.f64 (+.f64 x x)) (.f64 x (.f64 c s)))) (pow.f64 (cbrt.f64 (/.f64 (cos.f64 (+.f64 x x)) (.f64 x (.f64 c s)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (/.f64 (cos.f64 (+.f64 x x)) (.f64 x (.f64 c s)))) 2) (cbrt.f64 (/.f64 (cos.f64 (+.f64 x x)) (.f64 x (.f64 c s)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (/.f64 (cos.f64 (+.f64 x x)) (.f64 x (.f64 c s)))) 2) (.f64 (cbrt.f64 (/.f64 (cos.f64 (+.f64 x x)) (.f64 x (.f64 c s)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (cos.f64 (+.f64 x x))) 2) (.f64 (cbrt.f64 (cos.f64 (+.f64 x x))) (/.f64 1 (.f64 x (.f64 c s)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (/.f64 (cos.f64 (+.f64 x x)) (.f64 x (.f64 c s)))) (sqrt.f64 (/.f64 (cos.f64 (+.f64 x x)) (.f64 x (.f64 c s)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (/.f64 (cos.f64 (+.f64 x x)) (.f64 x (.f64 c s)))) (.f64 (sqrt.f64 (/.f64 (cos.f64 (+.f64 x x)) (.f64 x (.f64 c s)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (.f64 x (.f64 c s)) -1/2) (/.f64 (cos.f64 (+.f64 x x)) (sqrt.f64 (.f64 x (.f64 c s)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (cos.f64 (+.f64 x x))) (.f64 (sqrt.f64 (cos.f64 (+.f64 x x))) (/.f64 1 (.f64 x (.f64 c s)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (neg.f64 (cos.f64 (+.f64 x x))) (/.f64 1 (.f64 (.f64 s x) (neg.f64 c))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (cos.f64 (+.f64 x x)) c) (/.f64 1 (.f64 s x)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 c) (/.f64 (cos.f64 (+.f64 x x)) (.f64 s x)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (pow.f64 (cbrt.f64 (cos.f64 (+.f64 x x))) 2) 1) (/.f64 (cbrt.f64 (cos.f64 (+.f64 x x))) (.f64 x (.f64 c s))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (sqrt.f64 (cos.f64 (+.f64 x x))) 1) (/.f64 (sqrt.f64 (cos.f64 (+.f64 x x))) (.f64 x (.f64 c s))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (sqrt.f64 (cos.f64 (+.f64 x x))) c) (/.f64 (sqrt.f64 (cos.f64 (+.f64 x x))) (.f64 s x)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (pow.f64 (cbrt.f64 (cos.f64 (+.f64 x x))) 2) c) (/.f64 (cbrt.f64 (cos.f64 (+.f64 x x))) (.f64 s x)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (sqrt.f64 (cos.f64 (+.f64 x x))) (.f64 s x)) (/.f64 (sqrt.f64 (cos.f64 (+.f64 x x))) c))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (.f64 s x)) (/.f64 (cos.f64 (+.f64 x x)) c))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (pow.f64 (cbrt.f64 (cos.f64 (+.f64 x x))) 2) (.f64 s x)) (/.f64 (cbrt.f64 (cos.f64 (+.f64 x x))) c))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (pow.f64 (cbrt.f64 (.f64 x (.f64 c s))) 2)) (/.f64 (cos.f64 (+.f64 x x)) (cbrt.f64 (.f64 x (.f64 c s)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (pow.f64 (cbrt.f64 (cos.f64 (+.f64 x x))) 2) (pow.f64 (cbrt.f64 (.f64 x (.f64 c s))) 2)) (cbrt.f64 (/.f64 (cos.f64 (+.f64 x x)) (.f64 x (.f64 c s)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (sqrt.f64 (cos.f64 (+.f64 x x))) (pow.f64 (cbrt.f64 (.f64 x (.f64 c s))) 2)) (/.f64 (sqrt.f64 (cos.f64 (+.f64 x x))) (cbrt.f64 (.f64 x (.f64 c s)))))))) (#(struct:change #<rule 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(#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (.f64 (cos.f64 (+.f64 x x)) (pow.f64 (.f64 x (.f64 c s)) -2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (.f64 (cos.f64 (+.f64 x x)) (pow.f64 (.f64 x (.f64 c s)) -2))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (.f64 (cos.f64 (+.f64 x x)) (pow.f64 (.f64 x (.f64 c s)) -2))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (.f64 (cos.f64 (+.f64 x x)) (pow.f64 (.f64 x (.f64 c s)) -2))))))))

simplify51.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

941×	`fma-def_binary64`
794×	`associate-*l/_binary64`
368×	`unswap-sqr_binary64`
309×	`associate-/r*_binary64`
259×	`associate-/r/_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	69	1783
1	202	1781
2	568	1779
3	2391	1774

Stop Event

1×	node limit

Counts

261 → 187

Calls

Call 1

Inputs
(.f64 s (.f64 c x))
(.f64 s (.f64 c x))
(.f64 s (.f64 c x))
(.f64 s (.f64 c x))
(.f64 s (.f64 c x))
(.f64 s (.f64 c x))
(.f64 s (.f64 c x))
(.f64 s (.f64 c x))
(.f64 s (.f64 c x))
(.f64 s (.f64 c x))
(.f64 s (.f64 c x))
(.f64 s (.f64 c x))
(/.f64 1 (.f64 s (.f64 c x)))
(/.f64 1 (.f64 s (.f64 c x)))
(/.f64 1 (.f64 s (.f64 c x)))
(/.f64 1 (.f64 s (.f64 c x)))
(/.f64 1 (.f64 s (.f64 c x)))
(/.f64 1 (.f64 s (.f64 c x)))
(/.f64 1 (.f64 s (.f64 c x)))
(/.f64 1 (.f64 s (.f64 c x)))
(/.f64 1 (.f64 s (.f64 c x)))
(/.f64 1 (.f64 s (.f64 c x)))
(/.f64 1 (.f64 s (.f64 c x)))
(/.f64 1 (.f64 s (.f64 c x)))
(/.f64 1 (.f64 s (.f64 c x)))
(/.f64 1 (.f64 s (.f64 c x)))
(/.f64 1 (.f64 s (.f64 c x)))
(/.f64 1 (.f64 s (.f64 c x)))
(/.f64 1 (.f64 c (.f64 s x)))
(+.f64 (.f64 -2 (/.f64 x (.f64 c s))) (/.f64 1 (.f64 s (.f64 c x))))
(+.f64 (.f64 -2 (/.f64 x (.f64 c s))) (+.f64 (.f64 2/3 (/.f64 (pow.f64 x 3) (.f64 s c))) (/.f64 1 (.f64 s (.f64 c x)))))
(+.f64 (.f64 -2 (/.f64 x (.f64 c s))) (+.f64 (.f64 2/3 (/.f64 (pow.f64 x 3) (.f64 s c))) (+.f64 (.f64 -4/45 (/.f64 (pow.f64 x 5) (.f64 c s))) (/.f64 1 (.f64 s (.f64 c x))))))
(/.f64 (cos.f64 (.f64 2 x)) (.f64 c (*.f64 s x)))
(/.f64 (cos.f64 (.f64 2 x)) (.f64 c (*.f64 s x)))
(/.f64 (cos.f64 (.f64 2 x)) (.f64 c (*.f64 s x)))
(/.f64 (cos.f64 (.f64 2 x)) (.f64 c (*.f64 s x)))
(/.f64 (cos.f64 (neg.f64 (.f64 -2 x))) (.f64 s (*.f64 c x)))
(/.f64 (cos.f64 (neg.f64 (.f64 -2 x))) (.f64 s (*.f64 c x)))
(/.f64 (cos.f64 (neg.f64 (.f64 -2 x))) (.f64 s (*.f64 c x)))
(/.f64 (cos.f64 (neg.f64 (.f64 -2 x))) (.f64 s (*.f64 c x)))
(/.f64 (cos.f64 (.f64 2 x)) (.f64 c (*.f64 s x)))
(/.f64 (cos.f64 (.f64 2 x)) (.f64 c (*.f64 s x)))
(/.f64 (cos.f64 (.f64 2 x)) (.f64 c (*.f64 s x)))
(/.f64 (cos.f64 (.f64 2 x)) (.f64 c (*.f64 s x)))
(/.f64 (cos.f64 (.f64 2 x)) (.f64 c (*.f64 s x)))
(/.f64 (cos.f64 (.f64 2 x)) (.f64 c (*.f64 s x)))
(/.f64 (cos.f64 (.f64 2 x)) (.f64 c (*.f64 s x)))
(/.f64 (cos.f64 (.f64 2 x)) (.f64 c (*.f64 s x)))
(/.f64 (cos.f64 (.f64 2 x)) (.f64 c (*.f64 s x)))
(/.f64 (cos.f64 (.f64 2 x)) (.f64 c (*.f64 s x)))
(/.f64 (cos.f64 (.f64 2 x)) (.f64 c (*.f64 s x)))
(/.f64 (cos.f64 (.f64 2 x)) (.f64 c (*.f64 s x)))
(/.f64 (cos.f64 (.f64 2 x)) (.f64 s (*.f64 c x)))
(/.f64 (cos.f64 (.f64 2 x)) (.f64 s (*.f64 c x)))
(/.f64 (cos.f64 (.f64 2 x)) (.f64 s (*.f64 c x)))
(/.f64 (cos.f64 (.f64 2 x)) (.f64 s (*.f64 c x)))
(/.f64 (cos.f64 (.f64 2 x)) (.f64 s (*.f64 c x)))
(/.f64 (cos.f64 (.f64 2 x)) (.f64 s (*.f64 c x)))
(/.f64 (cos.f64 (.f64 2 x)) (.f64 s (*.f64 c x)))
(/.f64 (cos.f64 (.f64 2 x)) (.f64 s (*.f64 c x)))
(/.f64 (cos.f64 (.f64 2 x)) (.f64 s (*.f64 c x)))
(/.f64 (cos.f64 (.f64 2 x)) (.f64 s (*.f64 c x)))
(/.f64 (cos.f64 (.f64 2 x)) (.f64 s (*.f64 c x)))
(/.f64 (cos.f64 (.f64 2 x)) (.f64 s (*.f64 c x)))
(/.f64 1 (.f64 (pow.f64 s 2) (.f64 (pow.f64 c 2) (pow.f64 x 2))))
(-.f64 (/.f64 1 (.f64 (pow.f64 c 2) (.f64 (pow.f64 s 2) (pow.f64 x 2)))) (.f64 2 (/.f64 1 (.f64 (pow.f64 s 2) (pow.f64 c 2)))))
(-.f64 (+.f64 (/.f64 1 (.f64 (pow.f64 c 2) (.f64 (pow.f64 s 2) (pow.f64 x 2)))) (.f64 2/3 (/.f64 (pow.f64 x 2) (.f64 (pow.f64 c 2) (pow.f64 s 2))))) (.f64 2 (/.f64 1 (.f64 (pow.f64 s 2) (pow.f64 c 2)))))
(-.f64 (+.f64 (/.f64 1 (.f64 (pow.f64 c 2) (.f64 (pow.f64 s 2) (pow.f64 x 2)))) (+.f64 (.f64 2/3 (/.f64 (pow.f64 x 2) (.f64 (pow.f64 c 2) (pow.f64 s 2)))) (.f64 -4/45 (/.f64 (pow.f64 x 4) (.f64 (pow.f64 s 2) (pow.f64 c 2)))))) (.f64 2 (/.f64 1 (.f64 (pow.f64 s 2) (pow.f64 c 2)))))
(/.f64 (cos.f64 (.f64 2 x)) (.f64 (pow.f64 s 2) (*.f64 (pow.f64 c 2) (pow.f64 x 2))))
(/.f64 (cos.f64 (.f64 2 x)) (.f64 (pow.f64 s 2) (*.f64 (pow.f64 c 2) (pow.f64 x 2))))
(/.f64 (cos.f64 (.f64 2 x)) (.f64 (pow.f64 s 2) (*.f64 (pow.f64 c 2) (pow.f64 x 2))))
(/.f64 (cos.f64 (.f64 2 x)) (.f64 (pow.f64 s 2) (*.f64 (pow.f64 c 2) (pow.f64 x 2))))
(/.f64 (cos.f64 (neg.f64 (.f64 -2 x))) (.f64 (pow.f64 s 2) (*.f64 (pow.f64 c 2) (pow.f64 x 2))))
(/.f64 (cos.f64 (neg.f64 (.f64 -2 x))) (.f64 (pow.f64 s 2) (*.f64 (pow.f64 c 2) (pow.f64 x 2))))
(/.f64 (cos.f64 (neg.f64 (.f64 -2 x))) (.f64 (pow.f64 s 2) (*.f64 (pow.f64 c 2) (pow.f64 x 2))))
(/.f64 (cos.f64 (neg.f64 (.f64 -2 x))) (.f64 (pow.f64 s 2) (*.f64 (pow.f64 c 2) (pow.f64 x 2))))
(/.f64 (cos.f64 (.f64 2 x)) (.f64 (pow.f64 c 2) (*.f64 (pow.f64 s 2) (pow.f64 x 2))))
(/.f64 (cos.f64 (.f64 2 x)) (.f64 (pow.f64 c 2) (*.f64 (pow.f64 s 2) (pow.f64 x 2))))
(/.f64 (cos.f64 (.f64 2 x)) (.f64 (pow.f64 c 2) (*.f64 (pow.f64 s 2) (pow.f64 x 2))))
(/.f64 (cos.f64 (.f64 2 x)) (.f64 (pow.f64 c 2) (*.f64 (pow.f64 s 2) (pow.f64 x 2))))
(/.f64 (cos.f64 (.f64 2 x)) (.f64 (pow.f64 c 2) (*.f64 (pow.f64 s 2) (pow.f64 x 2))))
(/.f64 (cos.f64 (.f64 2 x)) (.f64 (pow.f64 c 2) (*.f64 (pow.f64 s 2) (pow.f64 x 2))))
(/.f64 (cos.f64 (.f64 2 x)) (.f64 (pow.f64 c 2) (*.f64 (pow.f64 s 2) (pow.f64 x 2))))
(/.f64 (cos.f64 (.f64 2 x)) (.f64 (pow.f64 c 2) (*.f64 (pow.f64 s 2) (pow.f64 x 2))))
(/.f64 (cos.f64 (.f64 2 x)) (.f64 (pow.f64 c 2) (*.f64 (pow.f64 s 2) (pow.f64 x 2))))
(/.f64 (cos.f64 (.f64 2 x)) (.f64 (pow.f64 c 2) (*.f64 (pow.f64 s 2) (pow.f64 x 2))))
(/.f64 (cos.f64 (.f64 2 x)) (.f64 (pow.f64 c 2) (*.f64 (pow.f64 s 2) (pow.f64 x 2))))
(/.f64 (cos.f64 (.f64 2 x)) (.f64 (pow.f64 c 2) (*.f64 (pow.f64 s 2) (pow.f64 x 2))))
(/.f64 (cos.f64 (.f64 2 x)) (.f64 (pow.f64 s 2) (*.f64 (pow.f64 c 2) (pow.f64 x 2))))
(/.f64 (cos.f64 (.f64 2 x)) (.f64 (pow.f64 s 2) (*.f64 (pow.f64 c 2) (pow.f64 x 2))))
(/.f64 (cos.f64 (.f64 2 x)) (.f64 (pow.f64 s 2) (*.f64 (pow.f64 c 2) (pow.f64 x 2))))
(/.f64 (cos.f64 (.f64 2 x)) (.f64 (pow.f64 s 2) (*.f64 (pow.f64 c 2) (pow.f64 x 2))))
(/.f64 (cos.f64 (.f64 2 x)) (.f64 (pow.f64 s 2) (*.f64 (pow.f64 c 2) (pow.f64 x 2))))
(/.f64 (cos.f64 (.f64 2 x)) (.f64 (pow.f64 s 2) (*.f64 (pow.f64 c 2) (pow.f64 x 2))))
(/.f64 (cos.f64 (.f64 2 x)) (.f64 (pow.f64 s 2) (*.f64 (pow.f64 c 2) (pow.f64 x 2))))
(/.f64 (cos.f64 (.f64 2 x)) (.f64 (pow.f64 s 2) (*.f64 (pow.f64 c 2) (pow.f64 x 2))))
(/.f64 (cos.f64 (.f64 2 x)) (.f64 (pow.f64 s 2) (*.f64 (pow.f64 c 2) (pow.f64 x 2))))
(/.f64 (cos.f64 (.f64 2 x)) (.f64 (pow.f64 s 2) (*.f64 (pow.f64 c 2) (pow.f64 x 2))))
(/.f64 (cos.f64 (.f64 2 x)) (.f64 (pow.f64 s 2) (*.f64 (pow.f64 c 2) (pow.f64 x 2))))
(/.f64 (cos.f64 (.f64 2 x)) (.f64 (pow.f64 s 2) (*.f64 (pow.f64 c 2) (pow.f64 x 2))))

Outputs
(.f64 s (.f64 c x))
(.f64 c (.f64 s x))
(.f64 s (.f64 c x))
(.f64 c (.f64 s x))
(.f64 s (.f64 c x))
(.f64 c (.f64 s x))
(.f64 s (.f64 c x))
(.f64 c (.f64 s x))
(.f64 s (.f64 c x))
(.f64 c (.f64 s x))
(.f64 s (.f64 c x))
(.f64 c (.f64 s x))
(.f64 s (.f64 c x))
(.f64 c (.f64 s x))
(.f64 s (.f64 c x))
(.f64 c (.f64 s x))
(.f64 s (.f64 c x))
(.f64 c (.f64 s x))
(.f64 s (.f64 c x))
(.f64 c (.f64 s x))
(.f64 s (.f64 c x))
(.f64 c (.f64 s x))
(.f64 s (.f64 c x))
(.f64 c (.f64 s x))
(/.f64 1 (.f64 s (.f64 c x)))
(/.f64 1 (.f64 c (.f64 s x)))
(/.f64 1 (.f64 s (.f64 c x)))
(/.f64 1 (.f64 c (.f64 s x)))
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(/.f64 1 (.f64 c (.f64 s x)))
(/.f64 1 (.f64 s (.f64 c x)))
(/.f64 1 (.f64 c (.f64 s x)))
(/.f64 1 (.f64 s (.f64 c x)))
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(/.f64 1 (.f64 s (.f64 c x)))
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(/.f64 1 (.f64 c (.f64 s x)))
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(/.f64 1 (.f64 s (.f64 c x)))
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(/.f64 1 (.f64 s (.f64 c x)))
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(/.f64 (cos.f64 (.f64 2 x)) (.f64 c (*.f64 s x)))
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(/.f64 (cos.f64 (.f64 x 2)) (.f64 (.f64 s s) (.f64 (.f64 c c) (.f64 x x))))
(/.f64 (cos.f64 (.f64 x 2)) (.f64 s (.f64 s (.f64 c (.f64 c (.f64 x x))))))
(/.f64 (cos.f64 (.f64 x 2)) (.f64 s (.f64 x (.f64 (.f64 x (.f64 c c)) s))))
(/.f64 (cos.f64 (.f64 x 2)) (.f64 s (.f64 (.f64 c x) (.f64 s (.f64 c x)))))
(/.f64 (cos.f64 (neg.f64 (.f64 -2 x))) (.f64 (pow.f64 s 2) (*.f64 (pow.f64 c 2) (pow.f64 x 2))))
(/.f64 (cos.f64 (.f64 x 2)) (.f64 (.f64 s s) (.f64 (.f64 c c) (.f64 x x))))
(/.f64 (cos.f64 (.f64 x 2)) (.f64 s (.f64 s (.f64 c (.f64 c (.f64 x x))))))
(/.f64 (cos.f64 (.f64 x 2)) (.f64 s (.f64 x (.f64 (.f64 x (.f64 c c)) s))))
(/.f64 (cos.f64 (.f64 x 2)) (.f64 s (.f64 (.f64 c x) (.f64 s (.f64 c x)))))
(/.f64 (cos.f64 (neg.f64 (.f64 -2 x))) (.f64 (pow.f64 s 2) (*.f64 (pow.f64 c 2) (pow.f64 x 2))))
(/.f64 (cos.f64 (.f64 x 2)) (.f64 (.f64 s s) (.f64 (.f64 c c) (.f64 x x))))
(/.f64 (cos.f64 (.f64 x 2)) (.f64 s (.f64 s (.f64 c (.f64 c (.f64 x x))))))
(/.f64 (cos.f64 (.f64 x 2)) (.f64 s (.f64 x (.f64 (.f64 x (.f64 c c)) s))))
(/.f64 (cos.f64 (.f64 x 2)) (.f64 s (.f64 (.f64 c x) (.f64 s (.f64 c x)))))
(/.f64 (cos.f64 (.f64 2 x)) (.f64 (pow.f64 c 2) (*.f64 (pow.f64 s 2) (pow.f64 x 2))))
(/.f64 (cos.f64 (.f64 x 2)) (.f64 (.f64 s s) (.f64 (.f64 c c) (.f64 x x))))
(/.f64 (cos.f64 (.f64 x 2)) (.f64 s (.f64 s (.f64 c (.f64 c (.f64 x x))))))
(/.f64 (cos.f64 (.f64 x 2)) (.f64 s (.f64 x (.f64 (.f64 x (.f64 c c)) s))))
(/.f64 (cos.f64 (.f64 x 2)) (.f64 s (.f64 (.f64 c x) (.f64 s (.f64 c x)))))
(/.f64 (cos.f64 (.f64 2 x)) (.f64 (pow.f64 c 2) (*.f64 (pow.f64 s 2) (pow.f64 x 2))))
(/.f64 (cos.f64 (.f64 x 2)) (.f64 (.f64 s s) (.f64 (.f64 c c) (.f64 x x))))
(/.f64 (cos.f64 (.f64 x 2)) (.f64 s (.f64 s (.f64 c (.f64 c (.f64 x x))))))
(/.f64 (cos.f64 (.f64 x 2)) (.f64 s (.f64 x (.f64 (.f64 x (.f64 c c)) s))))
(/.f64 (cos.f64 (.f64 x 2)) (.f64 s (.f64 (.f64 c x) (.f64 s (.f64 c x)))))
(/.f64 (cos.f64 (.f64 2 x)) (.f64 (pow.f64 c 2) (*.f64 (pow.f64 s 2) (pow.f64 x 2))))
(/.f64 (cos.f64 (.f64 x 2)) (.f64 (.f64 s s) (.f64 (.f64 c c) (.f64 x x))))
(/.f64 (cos.f64 (.f64 x 2)) (.f64 s (.f64 s (.f64 c (.f64 c (.f64 x x))))))
(/.f64 (cos.f64 (.f64 x 2)) (.f64 s (.f64 x (.f64 (.f64 x (.f64 c c)) s))))
(/.f64 (cos.f64 (.f64 x 2)) (.f64 s (.f64 (.f64 c x) (.f64 s (.f64 c x)))))
(/.f64 (cos.f64 (.f64 2 x)) (.f64 (pow.f64 c 2) (*.f64 (pow.f64 s 2) (pow.f64 x 2))))
(/.f64 (cos.f64 (.f64 x 2)) (.f64 (.f64 s s) (.f64 (.f64 c c) (.f64 x x))))
(/.f64 (cos.f64 (.f64 x 2)) (.f64 s (.f64 s (.f64 c (.f64 c (.f64 x x))))))
(/.f64 (cos.f64 (.f64 x 2)) (.f64 s (.f64 x (.f64 (.f64 x (.f64 c c)) s))))
(/.f64 (cos.f64 (.f64 x 2)) (.f64 s (.f64 (.f64 c x) (.f64 s (.f64 c x)))))
(/.f64 (cos.f64 (.f64 2 x)) (.f64 (pow.f64 c 2) (*.f64 (pow.f64 s 2) (pow.f64 x 2))))
(/.f64 (cos.f64 (.f64 x 2)) (.f64 (.f64 s s) (.f64 (.f64 c c) (.f64 x x))))
(/.f64 (cos.f64 (.f64 x 2)) (.f64 s (.f64 s (.f64 c (.f64 c (.f64 x x))))))
(/.f64 (cos.f64 (.f64 x 2)) (.f64 s (.f64 x (.f64 (.f64 x (.f64 c c)) s))))
(/.f64 (cos.f64 (.f64 x 2)) (.f64 s (.f64 (.f64 c x) (.f64 s (.f64 c x)))))
(/.f64 (cos.f64 (.f64 2 x)) (.f64 (pow.f64 c 2) (*.f64 (pow.f64 s 2) (pow.f64 x 2))))
(/.f64 (cos.f64 (.f64 x 2)) (.f64 (.f64 s s) (.f64 (.f64 c c) (.f64 x x))))
(/.f64 (cos.f64 (.f64 x 2)) (.f64 s (.f64 s (.f64 c (.f64 c (.f64 x x))))))
(/.f64 (cos.f64 (.f64 x 2)) (.f64 s (.f64 x (.f64 (.f64 x (.f64 c c)) s))))
(/.f64 (cos.f64 (.f64 x 2)) (.f64 s (.f64 (.f64 c x) (.f64 s (.f64 c x)))))
(/.f64 (cos.f64 (.f64 2 x)) (.f64 (pow.f64 c 2) (*.f64 (pow.f64 s 2) (pow.f64 x 2))))
(/.f64 (cos.f64 (.f64 x 2)) (.f64 (.f64 s s) (.f64 (.f64 c c) (.f64 x x))))
(/.f64 (cos.f64 (.f64 x 2)) (.f64 s (.f64 s (.f64 c (.f64 c (.f64 x x))))))
(/.f64 (cos.f64 (.f64 x 2)) (.f64 s (.f64 x (.f64 (.f64 x (.f64 c c)) s))))
(/.f64 (cos.f64 (.f64 x 2)) (.f64 s (.f64 (.f64 c x) (.f64 s (.f64 c x)))))
(/.f64 (cos.f64 (.f64 2 x)) (.f64 (pow.f64 c 2) (*.f64 (pow.f64 s 2) (pow.f64 x 2))))
(/.f64 (cos.f64 (.f64 x 2)) (.f64 (.f64 s s) (.f64 (.f64 c c) (.f64 x x))))
(/.f64 (cos.f64 (.f64 x 2)) (.f64 s (.f64 s (.f64 c (.f64 c (.f64 x x))))))
(/.f64 (cos.f64 (.f64 x 2)) (.f64 s (.f64 x (.f64 (.f64 x (.f64 c c)) s))))
(/.f64 (cos.f64 (.f64 x 2)) (.f64 s (.f64 (.f64 c x) (.f64 s (.f64 c x)))))
(/.f64 (cos.f64 (.f64 2 x)) (.f64 (pow.f64 c 2) (*.f64 (pow.f64 s 2) (pow.f64 x 2))))
(/.f64 (cos.f64 (.f64 x 2)) (.f64 (.f64 s s) (.f64 (.f64 c c) (.f64 x x))))
(/.f64 (cos.f64 (.f64 x 2)) (.f64 s (.f64 s (.f64 c (.f64 c (.f64 x x))))))
(/.f64 (cos.f64 (.f64 x 2)) (.f64 s (.f64 x (.f64 (.f64 x (.f64 c c)) s))))
(/.f64 (cos.f64 (.f64 x 2)) (.f64 s (.f64 (.f64 c x) (.f64 s (.f64 c x)))))
(/.f64 (cos.f64 (.f64 2 x)) (.f64 (pow.f64 c 2) (*.f64 (pow.f64 s 2) (pow.f64 x 2))))
(/.f64 (cos.f64 (.f64 x 2)) (.f64 (.f64 s s) (.f64 (.f64 c c) (.f64 x x))))
(/.f64 (cos.f64 (.f64 x 2)) (.f64 s (.f64 s (.f64 c (.f64 c (.f64 x x))))))
(/.f64 (cos.f64 (.f64 x 2)) (.f64 s (.f64 x (.f64 (.f64 x (.f64 c c)) s))))
(/.f64 (cos.f64 (.f64 x 2)) (.f64 s (.f64 (.f64 c x) (.f64 s (.f64 c x)))))
(/.f64 (cos.f64 (.f64 2 x)) (.f64 (pow.f64 c 2) (*.f64 (pow.f64 s 2) (pow.f64 x 2))))
(/.f64 (cos.f64 (.f64 x 2)) (.f64 (.f64 s s) (.f64 (.f64 c c) (.f64 x x))))
(/.f64 (cos.f64 (.f64 x 2)) (.f64 s (.f64 s (.f64 c (.f64 c (.f64 x x))))))
(/.f64 (cos.f64 (.f64 x 2)) (.f64 s (.f64 x (.f64 (.f64 x (.f64 c c)) s))))
(/.f64 (cos.f64 (.f64 x 2)) (.f64 s (.f64 (.f64 c x) (.f64 s (.f64 c x)))))
(/.f64 (cos.f64 (.f64 2 x)) (.f64 (pow.f64 c 2) (*.f64 (pow.f64 s 2) (pow.f64 x 2))))
(/.f64 (cos.f64 (.f64 x 2)) (.f64 (.f64 s s) (.f64 (.f64 c c) (.f64 x x))))
(/.f64 (cos.f64 (.f64 x 2)) (.f64 s (.f64 s (.f64 c (.f64 c (.f64 x x))))))
(/.f64 (cos.f64 (.f64 x 2)) (.f64 s (.f64 x (.f64 (.f64 x (.f64 c c)) s))))
(/.f64 (cos.f64 (.f64 x 2)) (.f64 s (.f64 (.f64 c x) (.f64 s (.f64 c x)))))
(/.f64 (cos.f64 (.f64 2 x)) (.f64 (pow.f64 s 2) (*.f64 (pow.f64 c 2) (pow.f64 x 2))))
(/.f64 (cos.f64 (.f64 x 2)) (.f64 (.f64 s s) (.f64 (.f64 c c) (.f64 x x))))
(/.f64 (cos.f64 (.f64 x 2)) (.f64 s (.f64 s (.f64 c (.f64 c (.f64 x x))))))
(/.f64 (cos.f64 (.f64 x 2)) (.f64 s (.f64 x (.f64 (.f64 x (.f64 c c)) s))))
(/.f64 (cos.f64 (.f64 x 2)) (.f64 s (.f64 (.f64 c x) (.f64 s (.f64 c x)))))
(/.f64 (cos.f64 (.f64 2 x)) (.f64 (pow.f64 s 2) (*.f64 (pow.f64 c 2) (pow.f64 x 2))))
(/.f64 (cos.f64 (.f64 x 2)) (.f64 (.f64 s s) (.f64 (.f64 c c) (.f64 x x))))
(/.f64 (cos.f64 (.f64 x 2)) (.f64 s (.f64 s (.f64 c (.f64 c (.f64 x x))))))
(/.f64 (cos.f64 (.f64 x 2)) (.f64 s (.f64 x (.f64 (.f64 x (.f64 c c)) s))))
(/.f64 (cos.f64 (.f64 x 2)) (.f64 s (.f64 (.f64 c x) (.f64 s (.f64 c x)))))
(/.f64 (cos.f64 (.f64 2 x)) (.f64 (pow.f64 s 2) (*.f64 (pow.f64 c 2) (pow.f64 x 2))))
(/.f64 (cos.f64 (.f64 x 2)) (.f64 (.f64 s s) (.f64 (.f64 c c) (.f64 x x))))
(/.f64 (cos.f64 (.f64 x 2)) (.f64 s (.f64 s (.f64 c (.f64 c (.f64 x x))))))
(/.f64 (cos.f64 (.f64 x 2)) (.f64 s (.f64 x (.f64 (.f64 x (.f64 c c)) s))))
(/.f64 (cos.f64 (.f64 x 2)) (.f64 s (.f64 (.f64 c x) (.f64 s (.f64 c x)))))
(/.f64 (cos.f64 (.f64 2 x)) (.f64 (pow.f64 s 2) (*.f64 (pow.f64 c 2) (pow.f64 x 2))))
(/.f64 (cos.f64 (.f64 x 2)) (.f64 (.f64 s s) (.f64 (.f64 c c) (.f64 x x))))
(/.f64 (cos.f64 (.f64 x 2)) (.f64 s (.f64 s (.f64 c (.f64 c (.f64 x x))))))
(/.f64 (cos.f64 (.f64 x 2)) (.f64 s (.f64 x (.f64 (.f64 x (.f64 c c)) s))))
(/.f64 (cos.f64 (.f64 x 2)) (.f64 s (.f64 (.f64 c x) (.f64 s (.f64 c x)))))
(/.f64 (cos.f64 (.f64 2 x)) (.f64 (pow.f64 s 2) (*.f64 (pow.f64 c 2) (pow.f64 x 2))))
(/.f64 (cos.f64 (.f64 x 2)) (.f64 (.f64 s s) (.f64 (.f64 c c) (.f64 x x))))
(/.f64 (cos.f64 (.f64 x 2)) (.f64 s (.f64 s (.f64 c (.f64 c (.f64 x x))))))
(/.f64 (cos.f64 (.f64 x 2)) (.f64 s (.f64 x (.f64 (.f64 x (.f64 c c)) s))))
(/.f64 (cos.f64 (.f64 x 2)) (.f64 s (.f64 (.f64 c x) (.f64 s (.f64 c x)))))
(/.f64 (cos.f64 (.f64 2 x)) (.f64 (pow.f64 s 2) (*.f64 (pow.f64 c 2) (pow.f64 x 2))))
(/.f64 (cos.f64 (.f64 x 2)) (.f64 (.f64 s s) (.f64 (.f64 c c) (.f64 x x))))
(/.f64 (cos.f64 (.f64 x 2)) (.f64 s (.f64 s (.f64 c (.f64 c (.f64 x x))))))
(/.f64 (cos.f64 (.f64 x 2)) (.f64 s (.f64 x (.f64 (.f64 x (.f64 c c)) s))))
(/.f64 (cos.f64 (.f64 x 2)) (.f64 s (.f64 (.f64 c x) (.f64 s (.f64 c x)))))
(/.f64 (cos.f64 (.f64 2 x)) (.f64 (pow.f64 s 2) (*.f64 (pow.f64 c 2) (pow.f64 x 2))))
(/.f64 (cos.f64 (.f64 x 2)) (.f64 (.f64 s s) (.f64 (.f64 c c) (.f64 x x))))
(/.f64 (cos.f64 (.f64 x 2)) (.f64 s (.f64 s (.f64 c (.f64 c (.f64 x x))))))
(/.f64 (cos.f64 (.f64 x 2)) (.f64 s (.f64 x (.f64 (.f64 x (.f64 c c)) s))))
(/.f64 (cos.f64 (.f64 x 2)) (.f64 s (.f64 (.f64 c x) (.f64 s (.f64 c x)))))
(/.f64 (cos.f64 (.f64 2 x)) (.f64 (pow.f64 s 2) (*.f64 (pow.f64 c 2) (pow.f64 x 2))))
(/.f64 (cos.f64 (.f64 x 2)) (.f64 (.f64 s s) (.f64 (.f64 c c) (.f64 x x))))
(/.f64 (cos.f64 (.f64 x 2)) (.f64 s (.f64 s (.f64 c (.f64 c (.f64 x x))))))
(/.f64 (cos.f64 (.f64 x 2)) (.f64 s (.f64 x (.f64 (.f64 x (.f64 c c)) s))))
(/.f64 (cos.f64 (.f64 x 2)) (.f64 s (.f64 (.f64 c x) (.f64 s (.f64 c x)))))
(/.f64 (cos.f64 (.f64 2 x)) (.f64 (pow.f64 s 2) (*.f64 (pow.f64 c 2) (pow.f64 x 2))))
(/.f64 (cos.f64 (.f64 x 2)) (.f64 (.f64 s s) (.f64 (.f64 c c) (.f64 x x))))
(/.f64 (cos.f64 (.f64 x 2)) (.f64 s (.f64 s (.f64 c (.f64 c (.f64 x x))))))
(/.f64 (cos.f64 (.f64 x 2)) (.f64 s (.f64 x (.f64 (.f64 x (.f64 c c)) s))))
(/.f64 (cos.f64 (.f64 x 2)) (.f64 s (.f64 (.f64 c x) (.f64 s (.f64 c x)))))
(/.f64 (cos.f64 (.f64 2 x)) (.f64 (pow.f64 s 2) (*.f64 (pow.f64 c 2) (pow.f64 x 2))))
(/.f64 (cos.f64 (.f64 x 2)) (.f64 (.f64 s s) (.f64 (.f64 c c) (.f64 x x))))
(/.f64 (cos.f64 (.f64 x 2)) (.f64 s (.f64 s (.f64 c (.f64 c (.f64 x x))))))
(/.f64 (cos.f64 (.f64 x 2)) (.f64 s (.f64 x (.f64 (.f64 x (.f64 c c)) s))))
(/.f64 (cos.f64 (.f64 x 2)) (.f64 s (.f64 (.f64 c x) (.f64 s (.f64 c x)))))
(/.f64 (cos.f64 (.f64 2 x)) (.f64 (pow.f64 s 2) (*.f64 (pow.f64 c 2) (pow.f64 x 2))))
(/.f64 (cos.f64 (.f64 x 2)) (.f64 (.f64 s s) (.f64 (.f64 c c) (.f64 x x))))
(/.f64 (cos.f64 (.f64 x 2)) (.f64 s (.f64 s (.f64 c (.f64 c (.f64 x x))))))
(/.f64 (cos.f64 (.f64 x 2)) (.f64 s (.f64 x (.f64 (.f64 x (.f64 c c)) s))))
(/.f64 (cos.f64 (.f64 x 2)) (.f64 s (.f64 (.f64 c x) (.f64 s (.f64 c x)))))
(/.f64 (cos.f64 (.f64 2 x)) (.f64 (pow.f64 s 2) (*.f64 (pow.f64 c 2) (pow.f64 x 2))))
(/.f64 (cos.f64 (.f64 x 2)) (.f64 (.f64 s s) (.f64 (.f64 c c) (.f64 x x))))
(/.f64 (cos.f64 (.f64 x 2)) (.f64 s (.f64 s (.f64 c (.f64 c (.f64 x x))))))
(/.f64 (cos.f64 (.f64 x 2)) (.f64 s (.f64 x (.f64 (.f64 x (.f64 c c)) s))))
(/.f64 (cos.f64 (.f64 x 2)) (.f64 s (.f64 (.f64 c x) (.f64 s (.f64 c x)))))

prune564.0ms (8.2%)

Pruning

14 alts after pruning (14 fresh and 0 done)

	Pruned	Kept	Total
New	205	7	212
Fresh	6	7	13
Picked	1	0	1
Done	1	0	1
Total	213	14	227

Error

0.0b

Counts

227 → 14

Alt Table

Status	Error	Program
	3.9b	(.f64 (/.f64 (pow.f64 (cbrt.f64 (cos.f64 (+.f64 x x))) 2) 1) (/.f64 (cbrt.f64 (cos.f64 (+.f64 x x))) (pow.f64 (.f64 c (*.f64 s x)) 2)))
	19.6b	(/.f64 (cos.f64 (.f64 2 x)) (.f64 s (.f64 x (.f64 (.f64 x (.f64 c c)) s))))
	4.8b	(/.f64 (cos.f64 (.f64 x 2)) (.f64 s (.f64 (.f64 c x) (.f64 s (.f64 c x)))))
	4.0b	(pow.f64 (cbrt.f64 (.f64 (cos.f64 (+.f64 x x)) (pow.f64 (.f64 c (*.f64 s x)) -2))) 3)
▶	2.9b	(/.f64 (/.f64 (cos.f64 (+.f64 x x)) (.f64 x (.f64 c s))) (.f64 x (.f64 c s)))
	10.2b	(.f64 (/.f64 1 (.f64 x (.f64 c (.f64 s x)))) (/.f64 (cos.f64 (+.f64 x x)) (*.f64 c s)))
	6.1b	(/.f64 (cos.f64 (.f64 2 x)) (.f64 (.f64 x (.f64 c s)) (.f64 c (.f64 s x))))
	13.6b	(.f64 (/.f64 1 x) (/.f64 (cos.f64 (+.f64 x x)) (.f64 (pow.f64 (*.f64 c s) 2) x)))
	3.7b	(.f64 (/.f64 (cos.f64 (+.f64 x x)) (.f64 c (.f64 s x))) (/.f64 1 (/.f64 c (/.f64 1 (.f64 s x)))))
	3.7b	(pow.f64 (/.f64 (pow.f64 (.f64 c (.f64 s x)) 2) (cos.f64 (+.f64 x x))) -1)
	7.2b	(/.f64 (/.f64 (/.f64 (cos.f64 (+.f64 x x)) (.f64 x (.f64 c s))) (*.f64 c s)) x)
	6.3b	(.f64 (/.f64 (cos.f64 (+.f64 x x)) (.f64 c (.f64 s x))) (.f64 (/.f64 1 (cbrt.f64 (.f64 x (.f64 c s)))) (cbrt.f64 (pow.f64 (.f64 x (.f64 c s)) -2))))
	6.2b	(/.f64 (/.f64 1 (.f64 x (.f64 c s))) (/.f64 c (/.f64 (cos.f64 (+.f64 x x)) (*.f64 s x))))
	3.0b	(/.f64 1 (/.f64 (pow.f64 (.f64 x (.f64 c s)) 2) (cos.f64 (+.f64 x x))))

Compiler

Compiled 5189 to 1715 computations (66.9% saved)

localize9.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.2b	(/.f64 (/.f64 (cos.f64 (+.f64 x x)) (.f64 x (.f64 c s))) (.f64 x (.f64 c s)))
✓	0.7b	(/.f64 (cos.f64 (+.f64 x x)) (.f64 x (.f64 c s)))
	5.7b	(.f64 x (.f64 c s))

series8.0ms (0.1%)

Counts

2 → 72

Calls

18 calls:

Time	Variable		Point	Expression
1.0ms	x	@	-inf	(/.f64 (cos.f64 (+.f64 x x)) (.f64 x (.f64 c s)))
1.0ms	x	@	0	(/.f64 (cos.f64 (+.f64 x x)) (.f64 x (.f64 c s)))
1.0ms	x	@	-inf	(/.f64 (/.f64 (cos.f64 (+.f64 x x)) (.f64 x (.f64 c s))) (.f64 x (.f64 c s)))
1.0ms	x	@	inf	(/.f64 (cos.f64 (+.f64 x x)) (.f64 x (.f64 c s)))
0.0ms	c	@	0	(/.f64 (cos.f64 (+.f64 x x)) (.f64 x (.f64 c s)))

rewrite68.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

559×	`prod-diff_binary64`
204×	`log1p-udef_binary64`
120×	`add-sqr-sqrt_binary64`
118×	`*-un-lft-identity_binary64`
118×	`pow1_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	10	39
1	227	33
2	3615	33

Stop Event

1×	node limit

Counts

2 → 97

Calls

Call 1

Inputs
(/.f64 (cos.f64 (+.f64 x x)) (.f64 x (.f64 c s)))
(/.f64 (/.f64 (cos.f64 (+.f64 x x)) (.f64 x (.f64 c s))) (.f64 x (.f64 c s)))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (cos.f64 (+.f64 x x)) (*.f64 x (*.f64 c s))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 (cos.f64 x) 2) (*.f64 x (*.f64 c s))) (/.f64 (pow.f64 (sin.f64 x) 2) (*.f64 x (*.f64 c s))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cos.f64 (+.f64 x x)) (/.f64 1 (*.f64 x (*.f64 c s))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cos.f64 (+.f64 x x)) (*.f64 x (*.f64 c s))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (cos.f64 (+.f64 x x)) (*.f64 x (*.f64 c s))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (cos.f64 (+.f64 x x)) (*.f64 x (*.f64 c s)))) (pow.f64 (cbrt.f64 (/.f64 (cos.f64 (+.f64 x x)) (*.f64 x (*.f64 c s)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 (cos.f64 (+.f64 x x)) (*.f64 x (*.f64 c s)))) 2) (cbrt.f64 (/.f64 (cos.f64 (+.f64 x x)) (*.f64 x (*.f64 c s)))))))) (#(struct:change #<rule 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simplify46.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

906×	`fma-def_binary64`
794×	`associate-*l/_binary64`
368×	`unswap-sqr_binary64`
308×	`associate-/r*_binary64`
259×	`associate-/r/_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	66	1539
1	193	1535
2	552	1535
3	2362	1530

Stop Event

1×	node limit

Counts

169 → 120

Calls

Call 1

Inputs
(/.f64 1 (.f64 s (.f64 c x)))
(+.f64 (.f64 -2 (/.f64 x (.f64 s c))) (/.f64 1 (.f64 c (.f64 s x))))
(+.f64 (.f64 -2 (/.f64 x (.f64 s c))) (+.f64 (.f64 2/3 (/.f64 (pow.f64 x 3) (.f64 c s))) (/.f64 1 (.f64 c (.f64 s x)))))
(+.f64 (.f64 -4/45 (/.f64 (pow.f64 x 5) (.f64 s c))) (+.f64 (.f64 -2 (/.f64 x (.f64 s c))) (+.f64 (.f64 2/3 (/.f64 (pow.f64 x 3) (.f64 c s))) (/.f64 1 (.f64 c (.f64 s x))))))
(/.f64 (cos.f64 (.f64 2 x)) (.f64 s (*.f64 c x)))
(/.f64 (cos.f64 (.f64 2 x)) (.f64 s (*.f64 c x)))
(/.f64 (cos.f64 (.f64 2 x)) (.f64 s (*.f64 c x)))
(/.f64 (cos.f64 (.f64 2 x)) (.f64 s (*.f64 c x)))
(/.f64 (cos.f64 (neg.f64 (.f64 -2 x))) (.f64 c (*.f64 s x)))
(/.f64 (cos.f64 (neg.f64 (.f64 -2 x))) (.f64 c (*.f64 s x)))
(/.f64 (cos.f64 (neg.f64 (.f64 -2 x))) (.f64 c (*.f64 s x)))
(/.f64 (cos.f64 (neg.f64 (.f64 -2 x))) (.f64 c (*.f64 s x)))
(/.f64 (cos.f64 (.f64 2 x)) (.f64 c (*.f64 s x)))
(/.f64 (cos.f64 (.f64 2 x)) (.f64 c (*.f64 s x)))
(/.f64 (cos.f64 (.f64 2 x)) (.f64 c (*.f64 s x)))
(/.f64 (cos.f64 (.f64 2 x)) (.f64 c (*.f64 s x)))
(/.f64 (cos.f64 (.f64 2 x)) (.f64 c (*.f64 s x)))
(/.f64 (cos.f64 (.f64 2 x)) (.f64 c (*.f64 s x)))
(/.f64 (cos.f64 (.f64 2 x)) (.f64 c (*.f64 s x)))
(/.f64 (cos.f64 (.f64 2 x)) (.f64 c (*.f64 s x)))
(/.f64 (cos.f64 (.f64 2 x)) (.f64 c (*.f64 s x)))
(/.f64 (cos.f64 (.f64 2 x)) (.f64 c (*.f64 s x)))
(/.f64 (cos.f64 (.f64 2 x)) (.f64 c (*.f64 s x)))
(/.f64 (cos.f64 (.f64 2 x)) (.f64 c (*.f64 s x)))
(/.f64 (cos.f64 (.f64 2 x)) (.f64 s (*.f64 c x)))
(/.f64 (cos.f64 (.f64 2 x)) (.f64 s (*.f64 c x)))
(/.f64 (cos.f64 (.f64 2 x)) (.f64 s (*.f64 c x)))
(/.f64 (cos.f64 (.f64 2 x)) (.f64 s (*.f64 c x)))
(/.f64 (cos.f64 (.f64 2 x)) (.f64 s (*.f64 c x)))
(/.f64 (cos.f64 (.f64 2 x)) (.f64 s (*.f64 c x)))
(/.f64 (cos.f64 (.f64 2 x)) (.f64 s (*.f64 c x)))
(/.f64 (cos.f64 (.f64 2 x)) (.f64 s (*.f64 c x)))
(/.f64 (cos.f64 (.f64 2 x)) (.f64 s (*.f64 c x)))
(/.f64 (cos.f64 (.f64 2 x)) (.f64 s (*.f64 c x)))
(/.f64 (cos.f64 (.f64 2 x)) (.f64 s (*.f64 c x)))
(/.f64 (cos.f64 (.f64 2 x)) (.f64 s (*.f64 c x)))
(/.f64 1 (.f64 (pow.f64 c 2) (.f64 (pow.f64 s 2) (pow.f64 x 2))))
(-.f64 (/.f64 1 (.f64 (pow.f64 s 2) (.f64 (pow.f64 c 2) (pow.f64 x 2)))) (.f64 2 (/.f64 1 (.f64 (pow.f64 c 2) (pow.f64 s 2)))))
(-.f64 (+.f64 (/.f64 1 (.f64 (pow.f64 s 2) (.f64 (pow.f64 c 2) (pow.f64 x 2)))) (.f64 2/3 (/.f64 (pow.f64 x 2) (.f64 (pow.f64 s 2) (pow.f64 c 2))))) (.f64 2 (/.f64 1 (.f64 (pow.f64 c 2) (pow.f64 s 2)))))
(-.f64 (+.f64 (.f64 -4/45 (/.f64 (pow.f64 x 4) (.f64 (pow.f64 c 2) (pow.f64 s 2)))) (+.f64 (/.f64 1 (.f64 (pow.f64 s 2) (.f64 (pow.f64 c 2) (pow.f64 x 2)))) (.f64 2/3 (/.f64 (pow.f64 x 2) (.f64 (pow.f64 s 2) (pow.f64 c 2)))))) (.f64 2 (/.f64 1 (.f64 (pow.f64 c 2) (pow.f64 s 2)))))
(/.f64 (cos.f64 (.f64 2 x)) (.f64 (pow.f64 c 2) (*.f64 (pow.f64 s 2) (pow.f64 x 2))))
(/.f64 (cos.f64 (.f64 2 x)) (.f64 (pow.f64 c 2) (*.f64 (pow.f64 s 2) (pow.f64 x 2))))
(/.f64 (cos.f64 (.f64 2 x)) (.f64 (pow.f64 c 2) (*.f64 (pow.f64 s 2) (pow.f64 x 2))))
(/.f64 (cos.f64 (.f64 2 x)) (.f64 (pow.f64 c 2) (*.f64 (pow.f64 s 2) (pow.f64 x 2))))
(/.f64 (cos.f64 (neg.f64 (.f64 -2 x))) (.f64 (pow.f64 c 2) (*.f64 (pow.f64 s 2) (pow.f64 x 2))))
(/.f64 (cos.f64 (neg.f64 (.f64 -2 x))) (.f64 (pow.f64 c 2) (*.f64 (pow.f64 s 2) (pow.f64 x 2))))
(/.f64 (cos.f64 (neg.f64 (.f64 -2 x))) (.f64 (pow.f64 c 2) (*.f64 (pow.f64 s 2) (pow.f64 x 2))))
(/.f64 (cos.f64 (neg.f64 (.f64 -2 x))) (.f64 (pow.f64 c 2) (*.f64 (pow.f64 s 2) (pow.f64 x 2))))
(/.f64 (cos.f64 (.f64 2 x)) (.f64 (pow.f64 c 2) (*.f64 (pow.f64 s 2) (pow.f64 x 2))))
(/.f64 (cos.f64 (.f64 2 x)) (.f64 (pow.f64 c 2) (*.f64 (pow.f64 s 2) (pow.f64 x 2))))
(/.f64 (cos.f64 (.f64 2 x)) (.f64 (pow.f64 c 2) (*.f64 (pow.f64 s 2) (pow.f64 x 2))))
(/.f64 (cos.f64 (.f64 2 x)) (.f64 (pow.f64 c 2) (*.f64 (pow.f64 s 2) (pow.f64 x 2))))
(/.f64 (cos.f64 (.f64 2 x)) (.f64 (pow.f64 c 2) (*.f64 (pow.f64 s 2) (pow.f64 x 2))))
(/.f64 (cos.f64 (.f64 2 x)) (.f64 (pow.f64 c 2) (*.f64 (pow.f64 s 2) (pow.f64 x 2))))
(/.f64 (cos.f64 (.f64 2 x)) (.f64 (pow.f64 c 2) (*.f64 (pow.f64 s 2) (pow.f64 x 2))))
(/.f64 (cos.f64 (.f64 2 x)) (.f64 (pow.f64 c 2) (*.f64 (pow.f64 s 2) (pow.f64 x 2))))
(/.f64 (cos.f64 (.f64 2 x)) (.f64 (pow.f64 c 2) (*.f64 (pow.f64 s 2) (pow.f64 x 2))))
(/.f64 (cos.f64 (.f64 2 x)) (.f64 (pow.f64 c 2) (*.f64 (pow.f64 s 2) (pow.f64 x 2))))
(/.f64 (cos.f64 (.f64 2 x)) (.f64 (pow.f64 c 2) (*.f64 (pow.f64 s 2) (pow.f64 x 2))))
(/.f64 (cos.f64 (.f64 2 x)) (.f64 (pow.f64 c 2) (*.f64 (pow.f64 s 2) (pow.f64 x 2))))
(/.f64 (cos.f64 (.f64 2 x)) (.f64 (pow.f64 s 2) (*.f64 (pow.f64 c 2) (pow.f64 x 2))))
(/.f64 (cos.f64 (.f64 2 x)) (.f64 (pow.f64 s 2) (*.f64 (pow.f64 c 2) (pow.f64 x 2))))
(/.f64 (cos.f64 (.f64 2 x)) (.f64 (pow.f64 s 2) (*.f64 (pow.f64 c 2) (pow.f64 x 2))))
(/.f64 (cos.f64 (.f64 2 x)) (.f64 (pow.f64 s 2) (*.f64 (pow.f64 c 2) (pow.f64 x 2))))
(/.f64 (cos.f64 (.f64 2 x)) (.f64 (pow.f64 s 2) (*.f64 (pow.f64 c 2) (pow.f64 x 2))))
(/.f64 (cos.f64 (.f64 2 x)) (.f64 (pow.f64 s 2) (*.f64 (pow.f64 c 2) (pow.f64 x 2))))
(/.f64 (cos.f64 (.f64 2 x)) (.f64 (pow.f64 s 2) (*.f64 (pow.f64 c 2) (pow.f64 x 2))))
(/.f64 (cos.f64 (.f64 2 x)) (.f64 (pow.f64 s 2) (*.f64 (pow.f64 c 2) (pow.f64 x 2))))
(/.f64 (cos.f64 (.f64 2 x)) (.f64 (pow.f64 s 2) (*.f64 (pow.f64 c 2) (pow.f64 x 2))))
(/.f64 (cos.f64 (.f64 2 x)) (.f64 (pow.f64 s 2) (*.f64 (pow.f64 c 2) (pow.f64 x 2))))
(/.f64 (cos.f64 (.f64 2 x)) (.f64 (pow.f64 s 2) (*.f64 (pow.f64 c 2) (pow.f64 x 2))))
(/.f64 (cos.f64 (.f64 2 x)) (.f64 (pow.f64 s 2) (*.f64 (pow.f64 c 2) (pow.f64 x 2))))

Outputs
(/.f64 1 (.f64 s (.f64 c x)))
(+.f64 (.f64 -2 (/.f64 x (.f64 s c))) (/.f64 1 (.f64 c (.f64 s x))))
(fma.f64 -2 (/.f64 x (.f64 s c)) (/.f64 1 (.f64 s (*.f64 c x))))
(fma.f64 -2 (/.f64 (/.f64 x s) c) (/.f64 1 (.f64 s (.f64 c x))))
(+.f64 (.f64 -2 (/.f64 x (.f64 s c))) (+.f64 (.f64 2/3 (/.f64 (pow.f64 x 3) (.f64 c s))) (/.f64 1 (.f64 c (.f64 s x)))))
(fma.f64 -2 (/.f64 x (.f64 s c)) (fma.f64 2/3 (/.f64 (pow.f64 x 3) (.f64 s c)) (/.f64 1 (.f64 s (.f64 c x)))))
(fma.f64 -2 (/.f64 (/.f64 x s) c) (fma.f64 2/3 (/.f64 (pow.f64 x 3) (.f64 s c)) (/.f64 1 (.f64 s (*.f64 c x)))))
(+.f64 (.f64 -4/45 (/.f64 (pow.f64 x 5) (.f64 s c))) (+.f64 (.f64 -2 (/.f64 x (.f64 s c))) (+.f64 (.f64 2/3 (/.f64 (pow.f64 x 3) (.f64 c s))) (/.f64 1 (.f64 c (.f64 s x))))))
(fma.f64 -4/45 (/.f64 (pow.f64 x 5) (.f64 s c)) (fma.f64 -2 (/.f64 x (.f64 s c)) (fma.f64 2/3 (/.f64 (pow.f64 x 3) (.f64 s c)) (/.f64 1 (.f64 s (*.f64 c x))))))
(fma.f64 -4/45 (/.f64 (pow.f64 x 5) (.f64 s c)) (fma.f64 -2 (/.f64 (/.f64 x s) c) (fma.f64 2/3 (/.f64 (pow.f64 x 3) (.f64 s c)) (/.f64 1 (.f64 s (.f64 c x))))))
(fma.f64 -2 (/.f64 (/.f64 x s) c) (fma.f64 2/3 (/.f64 (pow.f64 x 3) (.f64 s c)) (fma.f64 -4/45 (/.f64 (/.f64 (pow.f64 x 5) s) c) (/.f64 1 (.f64 s (*.f64 c x))))))
(/.f64 (cos.f64 (.f64 2 x)) (.f64 s (*.f64 c x)))
(/.f64 (cos.f64 (.f64 x 2)) (.f64 s (*.f64 c x)))
(/.f64 (cos.f64 (.f64 2 x)) (.f64 s (*.f64 c x)))
(/.f64 (cos.f64 (.f64 x 2)) (.f64 s (*.f64 c x)))
(/.f64 (cos.f64 (.f64 2 x)) (.f64 s (*.f64 c x)))
(/.f64 (cos.f64 (.f64 x 2)) (.f64 s (*.f64 c x)))
(/.f64 (cos.f64 (.f64 2 x)) (.f64 s (*.f64 c x)))
(/.f64 (cos.f64 (.f64 x 2)) (.f64 s (*.f64 c x)))
(/.f64 (cos.f64 (neg.f64 (.f64 -2 x))) (.f64 c (*.f64 s x)))
(/.f64 (cos.f64 (.f64 x 2)) (.f64 s (*.f64 c x)))
(/.f64 (cos.f64 (neg.f64 (.f64 -2 x))) (.f64 c (*.f64 s x)))
(/.f64 (cos.f64 (.f64 x 2)) (.f64 s (*.f64 c x)))
(/.f64 (cos.f64 (neg.f64 (.f64 -2 x))) (.f64 c (*.f64 s x)))
(/.f64 (cos.f64 (.f64 x 2)) (.f64 s (*.f64 c x)))
(/.f64 (cos.f64 (neg.f64 (.f64 -2 x))) (.f64 c (*.f64 s x)))
(/.f64 (cos.f64 (.f64 x 2)) (.f64 s (*.f64 c x)))
(/.f64 (cos.f64 (.f64 2 x)) (.f64 c (*.f64 s x)))
(/.f64 (cos.f64 (.f64 x 2)) (.f64 s (*.f64 c x)))
(/.f64 (cos.f64 (.f64 2 x)) (.f64 c (*.f64 s x)))
(/.f64 (cos.f64 (.f64 x 2)) (.f64 s (*.f64 c x)))
(/.f64 (cos.f64 (.f64 2 x)) (.f64 c (*.f64 s x)))
(/.f64 (cos.f64 (.f64 x 2)) (.f64 s (*.f64 c x)))
(/.f64 (cos.f64 (.f64 2 x)) (.f64 c (*.f64 s x)))
(/.f64 (cos.f64 (.f64 x 2)) (.f64 s (*.f64 c x)))
(/.f64 (cos.f64 (.f64 2 x)) (.f64 c (*.f64 s x)))
(/.f64 (cos.f64 (.f64 x 2)) (.f64 s (*.f64 c x)))
(/.f64 (cos.f64 (.f64 2 x)) (.f64 c (*.f64 s x)))
(/.f64 (cos.f64 (.f64 x 2)) (.f64 s (*.f64 c x)))
(/.f64 (cos.f64 (.f64 2 x)) (.f64 c (*.f64 s x)))
(/.f64 (cos.f64 (.f64 x 2)) (.f64 s (*.f64 c x)))
(/.f64 (cos.f64 (.f64 2 x)) (.f64 c (*.f64 s x)))
(/.f64 (cos.f64 (.f64 x 2)) (.f64 s (*.f64 c x)))
(/.f64 (cos.f64 (.f64 2 x)) (.f64 c (*.f64 s x)))
(/.f64 (cos.f64 (.f64 x 2)) (.f64 s (*.f64 c x)))
(/.f64 (cos.f64 (.f64 2 x)) (.f64 c (*.f64 s x)))
(/.f64 (cos.f64 (.f64 x 2)) (.f64 s (*.f64 c x)))
(/.f64 (cos.f64 (.f64 2 x)) (.f64 c (*.f64 s x)))
(/.f64 (cos.f64 (.f64 x 2)) (.f64 s (*.f64 c x)))
(/.f64 (cos.f64 (.f64 2 x)) (.f64 c (*.f64 s x)))
(/.f64 (cos.f64 (.f64 x 2)) (.f64 s (*.f64 c x)))
(/.f64 (cos.f64 (.f64 2 x)) (.f64 s (*.f64 c x)))
(/.f64 (cos.f64 (.f64 x 2)) (.f64 s (*.f64 c x)))
(/.f64 (cos.f64 (.f64 2 x)) (.f64 s (*.f64 c x)))
(/.f64 (cos.f64 (.f64 x 2)) (.f64 s (*.f64 c x)))
(/.f64 (cos.f64 (.f64 2 x)) (.f64 s (*.f64 c x)))
(/.f64 (cos.f64 (.f64 x 2)) (.f64 s (*.f64 c x)))
(/.f64 (cos.f64 (.f64 2 x)) (.f64 s (*.f64 c x)))
(/.f64 (cos.f64 (.f64 x 2)) (.f64 s (*.f64 c x)))
(/.f64 (cos.f64 (.f64 2 x)) (.f64 s (*.f64 c x)))
(/.f64 (cos.f64 (.f64 x 2)) (.f64 s (*.f64 c x)))
(/.f64 (cos.f64 (.f64 2 x)) (.f64 s (*.f64 c x)))
(/.f64 (cos.f64 (.f64 x 2)) (.f64 s (*.f64 c x)))
(/.f64 (cos.f64 (.f64 2 x)) (.f64 s (*.f64 c x)))
(/.f64 (cos.f64 (.f64 x 2)) (.f64 s (*.f64 c x)))
(/.f64 (cos.f64 (.f64 2 x)) (.f64 s (*.f64 c x)))
(/.f64 (cos.f64 (.f64 x 2)) (.f64 s (*.f64 c x)))
(/.f64 (cos.f64 (.f64 2 x)) (.f64 s (*.f64 c x)))
(/.f64 (cos.f64 (.f64 x 2)) (.f64 s (*.f64 c x)))
(/.f64 (cos.f64 (.f64 2 x)) (.f64 s (*.f64 c x)))
(/.f64 (cos.f64 (.f64 x 2)) (.f64 s (*.f64 c x)))
(/.f64 (cos.f64 (.f64 2 x)) (.f64 s (*.f64 c x)))
(/.f64 (cos.f64 (.f64 x 2)) (.f64 s (*.f64 c x)))
(/.f64 (cos.f64 (.f64 2 x)) (.f64 s (*.f64 c x)))
(/.f64 (cos.f64 (.f64 x 2)) (.f64 s (*.f64 c x)))
(/.f64 1 (.f64 (pow.f64 c 2) (.f64 (pow.f64 s 2) (pow.f64 x 2))))
(/.f64 1 (.f64 (.f64 c c) (.f64 (.f64 s s) (*.f64 x x))))
(/.f64 1 (.f64 (.f64 c c) (.f64 s (.f64 s (*.f64 x x)))))
(/.f64 (/.f64 1 (.f64 c c)) (.f64 s (.f64 x (.f64 s x))))
(/.f64 1 (.f64 c (.f64 (.f64 x x) (.f64 c (*.f64 s s)))))
(-.f64 (/.f64 1 (.f64 (pow.f64 s 2) (.f64 (pow.f64 c 2) (pow.f64 x 2)))) (.f64 2 (/.f64 1 (.f64 (pow.f64 c 2) (pow.f64 s 2)))))
(-.f64 (/.f64 1 (.f64 (.f64 c c) (.f64 (.f64 s s) (.f64 x x)))) (/.f64 2 (.f64 (.f64 c c) (.f64 s s))))
(-.f64 (/.f64 1 (.f64 (.f64 c c) (.f64 s (.f64 s (.f64 x x))))) (/.f64 (/.f64 2 (.f64 s s)) (*.f64 c c)))
(-.f64 (/.f64 (/.f64 1 (.f64 c c)) (.f64 s (.f64 x (.f64 s x)))) (/.f64 (/.f64 2 (.f64 s s)) (.f64 c c)))
(+.f64 (/.f64 1 (.f64 c (.f64 (.f64 x x) (.f64 c (.f64 s s))))) (/.f64 (/.f64 -2 c) (.f64 c (*.f64 s s))))
(-.f64 (+.f64 (/.f64 1 (.f64 (pow.f64 s 2) (.f64 (pow.f64 c 2) (pow.f64 x 2)))) (.f64 2/3 (/.f64 (pow.f64 x 2) (.f64 (pow.f64 s 2) (pow.f64 c 2))))) (.f64 2 (/.f64 1 (.f64 (pow.f64 c 2) (pow.f64 s 2)))))
(+.f64 (/.f64 1 (.f64 (.f64 c c) (.f64 (.f64 s s) (.f64 x x)))) (-.f64 (.f64 2/3 (/.f64 (/.f64 (.f64 x x) (.f64 s s)) (.f64 c c))) (/.f64 2 (.f64 (.f64 c c) (.f64 s s)))))
(+.f64 (fma.f64 2/3 (/.f64 (.f64 (/.f64 x s) (/.f64 x s)) (.f64 c c)) (/.f64 1 (.f64 (.f64 c c) (.f64 s (.f64 s (.f64 x x)))))) (/.f64 -2 (.f64 s (.f64 s (.f64 c c)))))
(fma.f64 (/.f64 (/.f64 2/3 s) s) (.f64 (/.f64 x c) (/.f64 x c)) (-.f64 (/.f64 (/.f64 1 (.f64 c c)) (.f64 s (.f64 x (.f64 s x)))) (/.f64 (/.f64 2 (.f64 s s)) (*.f64 c c))))
(+.f64 (/.f64 1 (.f64 c (.f64 (.f64 x x) (.f64 c (.f64 s s))))) (fma.f64 (/.f64 2/3 c) (/.f64 (.f64 x x) (.f64 c (.f64 s s))) (/.f64 (/.f64 -2 c) (.f64 c (.f64 s s)))))
(-.f64 (+.f64 (.f64 -4/45 (/.f64 (pow.f64 x 4) (.f64 (pow.f64 c 2) (pow.f64 s 2)))) (+.f64 (/.f64 1 (.f64 (pow.f64 s 2) (.f64 (pow.f64 c 2) (pow.f64 x 2)))) (.f64 2/3 (/.f64 (pow.f64 x 2) (.f64 (pow.f64 s 2) (pow.f64 c 2)))))) (.f64 2 (/.f64 1 (.f64 (pow.f64 c 2) (pow.f64 s 2)))))
(-.f64 (fma.f64 -4/45 (/.f64 (pow.f64 x 4) (.f64 (.f64 c c) (.f64 s s))) (+.f64 (/.f64 1 (.f64 (.f64 c c) (.f64 (.f64 s s) (.f64 x x)))) (.f64 2/3 (/.f64 (/.f64 (.f64 x x) (.f64 s s)) (.f64 c c))))) (/.f64 2 (.f64 (.f64 c c) (*.f64 s s))))
(+.f64 (fma.f64 -4/45 (/.f64 (pow.f64 x 4) (.f64 s (.f64 s (.f64 c c)))) (fma.f64 2/3 (/.f64 (.f64 (/.f64 x s) (/.f64 x s)) (.f64 c c)) (/.f64 1 (.f64 (.f64 c c) (.f64 s (.f64 s (.f64 x x))))))) (/.f64 -2 (.f64 s (.f64 s (*.f64 c c)))))
(fma.f64 (/.f64 -4/45 (.f64 c c)) (/.f64 (pow.f64 x 4) (.f64 s s)) (fma.f64 (/.f64 (/.f64 2/3 s) s) (.f64 (/.f64 x c) (/.f64 x c)) (-.f64 (/.f64 (/.f64 1 (.f64 c c)) (.f64 s (.f64 x (.f64 s x)))) (/.f64 (/.f64 2 (.f64 s s)) (*.f64 c c)))))
(+.f64 (+.f64 (/.f64 1 (.f64 c (.f64 (.f64 x x) (.f64 c (.f64 s s))))) (/.f64 (/.f64 -2 c) (.f64 c (.f64 s s)))) (.f64 (/.f64 (.f64 x x) (.f64 s (.f64 c c))) (+.f64 (/.f64 2/3 s) (/.f64 (.f64 -4/45 (*.f64 x x)) s))))
(/.f64 (cos.f64 (.f64 2 x)) (.f64 (pow.f64 c 2) (*.f64 (pow.f64 s 2) (pow.f64 x 2))))
(/.f64 (/.f64 (cos.f64 (.f64 x 2)) (.f64 c c)) (.f64 (.f64 s s) (*.f64 x x)))
(/.f64 (cos.f64 (.f64 x 2)) (.f64 (.f64 c c) (.f64 s (.f64 s (.f64 x x)))))
(/.f64 (cos.f64 (.f64 x 2)) (.f64 s (.f64 (.f64 c c) (.f64 x (.f64 s x)))))
(/.f64 (cos.f64 (.f64 x 2)) (.f64 c (.f64 (.f64 x x) (.f64 c (.f64 s s)))))
(/.f64 (cos.f64 (.f64 2 x)) (.f64 (pow.f64 c 2) (*.f64 (pow.f64 s 2) (pow.f64 x 2))))
(/.f64 (/.f64 (cos.f64 (.f64 x 2)) (.f64 c c)) (.f64 (.f64 s s) (*.f64 x x)))
(/.f64 (cos.f64 (.f64 x 2)) (.f64 (.f64 c c) (.f64 s (.f64 s (.f64 x x)))))
(/.f64 (cos.f64 (.f64 x 2)) (.f64 s (.f64 (.f64 c c) (.f64 x (.f64 s x)))))
(/.f64 (cos.f64 (.f64 x 2)) (.f64 c (.f64 (.f64 x x) (.f64 c (.f64 s s)))))
(/.f64 (cos.f64 (.f64 2 x)) (.f64 (pow.f64 c 2) (*.f64 (pow.f64 s 2) (pow.f64 x 2))))
(/.f64 (/.f64 (cos.f64 (.f64 x 2)) (.f64 c c)) (.f64 (.f64 s s) (*.f64 x x)))
(/.f64 (cos.f64 (.f64 x 2)) (.f64 (.f64 c c) (.f64 s (.f64 s (.f64 x x)))))
(/.f64 (cos.f64 (.f64 x 2)) (.f64 s (.f64 (.f64 c c) (.f64 x (.f64 s x)))))
(/.f64 (cos.f64 (.f64 x 2)) (.f64 c (.f64 (.f64 x x) (.f64 c (.f64 s s)))))
(/.f64 (cos.f64 (.f64 2 x)) (.f64 (pow.f64 c 2) (*.f64 (pow.f64 s 2) (pow.f64 x 2))))
(/.f64 (/.f64 (cos.f64 (.f64 x 2)) (.f64 c c)) (.f64 (.f64 s s) (*.f64 x x)))
(/.f64 (cos.f64 (.f64 x 2)) (.f64 (.f64 c c) (.f64 s (.f64 s (.f64 x x)))))
(/.f64 (cos.f64 (.f64 x 2)) (.f64 s (.f64 (.f64 c c) (.f64 x (.f64 s x)))))
(/.f64 (cos.f64 (.f64 x 2)) (.f64 c (.f64 (.f64 x x) (.f64 c (.f64 s s)))))
(/.f64 (cos.f64 (neg.f64 (.f64 -2 x))) (.f64 (pow.f64 c 2) (*.f64 (pow.f64 s 2) (pow.f64 x 2))))
(/.f64 (/.f64 (cos.f64 (.f64 x 2)) (.f64 c c)) (.f64 (.f64 s s) (*.f64 x x)))
(/.f64 (cos.f64 (.f64 x 2)) (.f64 (.f64 c c) (.f64 s (.f64 s (.f64 x x)))))
(/.f64 (cos.f64 (.f64 x 2)) (.f64 s (.f64 (.f64 c c) (.f64 x (.f64 s x)))))
(/.f64 (cos.f64 (.f64 x 2)) (.f64 c (.f64 (.f64 x x) (.f64 c (.f64 s s)))))
(/.f64 (cos.f64 (neg.f64 (.f64 -2 x))) (.f64 (pow.f64 c 2) (*.f64 (pow.f64 s 2) (pow.f64 x 2))))
(/.f64 (/.f64 (cos.f64 (.f64 x 2)) (.f64 c c)) (.f64 (.f64 s s) (*.f64 x x)))
(/.f64 (cos.f64 (.f64 x 2)) (.f64 (.f64 c c) (.f64 s (.f64 s (.f64 x x)))))
(/.f64 (cos.f64 (.f64 x 2)) (.f64 s (.f64 (.f64 c c) (.f64 x (.f64 s x)))))
(/.f64 (cos.f64 (.f64 x 2)) (.f64 c (.f64 (.f64 x x) (.f64 c (.f64 s s)))))
(/.f64 (cos.f64 (neg.f64 (.f64 -2 x))) (.f64 (pow.f64 c 2) (*.f64 (pow.f64 s 2) (pow.f64 x 2))))
(/.f64 (/.f64 (cos.f64 (.f64 x 2)) (.f64 c c)) (.f64 (.f64 s s) (*.f64 x x)))
(/.f64 (cos.f64 (.f64 x 2)) (.f64 (.f64 c c) (.f64 s (.f64 s (.f64 x x)))))
(/.f64 (cos.f64 (.f64 x 2)) (.f64 s (.f64 (.f64 c c) (.f64 x (.f64 s x)))))
(/.f64 (cos.f64 (.f64 x 2)) (.f64 c (.f64 (.f64 x x) (.f64 c (.f64 s s)))))
(/.f64 (cos.f64 (neg.f64 (.f64 -2 x))) (.f64 (pow.f64 c 2) (*.f64 (pow.f64 s 2) (pow.f64 x 2))))
(/.f64 (/.f64 (cos.f64 (.f64 x 2)) (.f64 c c)) (.f64 (.f64 s s) (*.f64 x x)))
(/.f64 (cos.f64 (.f64 x 2)) (.f64 (.f64 c c) (.f64 s (.f64 s (.f64 x x)))))
(/.f64 (cos.f64 (.f64 x 2)) (.f64 s (.f64 (.f64 c c) (.f64 x (.f64 s x)))))
(/.f64 (cos.f64 (.f64 x 2)) (.f64 c (.f64 (.f64 x x) (.f64 c (.f64 s s)))))
(/.f64 (cos.f64 (.f64 2 x)) (.f64 (pow.f64 c 2) (*.f64 (pow.f64 s 2) (pow.f64 x 2))))
(/.f64 (/.f64 (cos.f64 (.f64 x 2)) (.f64 c c)) (.f64 (.f64 s s) (*.f64 x x)))
(/.f64 (cos.f64 (.f64 x 2)) (.f64 (.f64 c c) (.f64 s (.f64 s (.f64 x x)))))
(/.f64 (cos.f64 (.f64 x 2)) (.f64 s (.f64 (.f64 c c) (.f64 x (.f64 s x)))))
(/.f64 (cos.f64 (.f64 x 2)) (.f64 c (.f64 (.f64 x x) (.f64 c (.f64 s s)))))
(/.f64 (cos.f64 (.f64 2 x)) (.f64 (pow.f64 c 2) (*.f64 (pow.f64 s 2) (pow.f64 x 2))))
(/.f64 (/.f64 (cos.f64 (.f64 x 2)) (.f64 c c)) (.f64 (.f64 s s) (*.f64 x x)))
(/.f64 (cos.f64 (.f64 x 2)) (.f64 (.f64 c c) (.f64 s (.f64 s (.f64 x x)))))
(/.f64 (cos.f64 (.f64 x 2)) (.f64 s (.f64 (.f64 c c) (.f64 x (.f64 s x)))))
(/.f64 (cos.f64 (.f64 x 2)) (.f64 c (.f64 (.f64 x x) (.f64 c (.f64 s s)))))
(/.f64 (cos.f64 (.f64 2 x)) (.f64 (pow.f64 c 2) (*.f64 (pow.f64 s 2) (pow.f64 x 2))))
(/.f64 (/.f64 (cos.f64 (.f64 x 2)) (.f64 c c)) (.f64 (.f64 s s) (*.f64 x x)))
(/.f64 (cos.f64 (.f64 x 2)) (.f64 (.f64 c c) (.f64 s (.f64 s (.f64 x x)))))
(/.f64 (cos.f64 (.f64 x 2)) (.f64 s (.f64 (.f64 c c) (.f64 x (.f64 s x)))))
(/.f64 (cos.f64 (.f64 x 2)) (.f64 c (.f64 (.f64 x x) (.f64 c (.f64 s s)))))
(/.f64 (cos.f64 (.f64 2 x)) (.f64 (pow.f64 c 2) (*.f64 (pow.f64 s 2) (pow.f64 x 2))))
(/.f64 (/.f64 (cos.f64 (.f64 x 2)) (.f64 c c)) (.f64 (.f64 s s) (*.f64 x x)))
(/.f64 (cos.f64 (.f64 x 2)) (.f64 (.f64 c c) (.f64 s (.f64 s (.f64 x x)))))
(/.f64 (cos.f64 (.f64 x 2)) (.f64 s (.f64 (.f64 c c) (.f64 x (.f64 s x)))))
(/.f64 (cos.f64 (.f64 x 2)) (.f64 c (.f64 (.f64 x x) (.f64 c (.f64 s s)))))
(/.f64 (cos.f64 (.f64 2 x)) (.f64 (pow.f64 c 2) (*.f64 (pow.f64 s 2) (pow.f64 x 2))))
(/.f64 (/.f64 (cos.f64 (.f64 x 2)) (.f64 c c)) (.f64 (.f64 s s) (*.f64 x x)))
(/.f64 (cos.f64 (.f64 x 2)) (.f64 (.f64 c c) (.f64 s (.f64 s (.f64 x x)))))
(/.f64 (cos.f64 (.f64 x 2)) (.f64 s (.f64 (.f64 c c) (.f64 x (.f64 s x)))))
(/.f64 (cos.f64 (.f64 x 2)) (.f64 c (.f64 (.f64 x x) (.f64 c (.f64 s s)))))
(/.f64 (cos.f64 (.f64 2 x)) (.f64 (pow.f64 c 2) (*.f64 (pow.f64 s 2) (pow.f64 x 2))))
(/.f64 (/.f64 (cos.f64 (.f64 x 2)) (.f64 c c)) (.f64 (.f64 s s) (*.f64 x x)))
(/.f64 (cos.f64 (.f64 x 2)) (.f64 (.f64 c c) (.f64 s (.f64 s (.f64 x x)))))
(/.f64 (cos.f64 (.f64 x 2)) (.f64 s (.f64 (.f64 c c) (.f64 x (.f64 s x)))))
(/.f64 (cos.f64 (.f64 x 2)) (.f64 c (.f64 (.f64 x x) (.f64 c (.f64 s s)))))
(/.f64 (cos.f64 (.f64 2 x)) (.f64 (pow.f64 c 2) (*.f64 (pow.f64 s 2) (pow.f64 x 2))))
(/.f64 (/.f64 (cos.f64 (.f64 x 2)) (.f64 c c)) (.f64 (.f64 s s) (*.f64 x x)))
(/.f64 (cos.f64 (.f64 x 2)) (.f64 (.f64 c c) (.f64 s (.f64 s (.f64 x x)))))
(/.f64 (cos.f64 (.f64 x 2)) (.f64 s (.f64 (.f64 c c) (.f64 x (.f64 s x)))))
(/.f64 (cos.f64 (.f64 x 2)) (.f64 c (.f64 (.f64 x x) (.f64 c (.f64 s s)))))
(/.f64 (cos.f64 (.f64 2 x)) (.f64 (pow.f64 c 2) (*.f64 (pow.f64 s 2) (pow.f64 x 2))))
(/.f64 (/.f64 (cos.f64 (.f64 x 2)) (.f64 c c)) (.f64 (.f64 s s) (*.f64 x x)))
(/.f64 (cos.f64 (.f64 x 2)) (.f64 (.f64 c c) (.f64 s (.f64 s (.f64 x x)))))
(/.f64 (cos.f64 (.f64 x 2)) (.f64 s (.f64 (.f64 c c) (.f64 x (.f64 s x)))))
(/.f64 (cos.f64 (.f64 x 2)) (.f64 c (.f64 (.f64 x x) (.f64 c (.f64 s s)))))
(/.f64 (cos.f64 (.f64 2 x)) (.f64 (pow.f64 c 2) (*.f64 (pow.f64 s 2) (pow.f64 x 2))))
(/.f64 (/.f64 (cos.f64 (.f64 x 2)) (.f64 c c)) (.f64 (.f64 s s) (*.f64 x x)))
(/.f64 (cos.f64 (.f64 x 2)) (.f64 (.f64 c c) (.f64 s (.f64 s (.f64 x x)))))
(/.f64 (cos.f64 (.f64 x 2)) (.f64 s (.f64 (.f64 c c) (.f64 x (.f64 s x)))))
(/.f64 (cos.f64 (.f64 x 2)) (.f64 c (.f64 (.f64 x x) (.f64 c (.f64 s s)))))
(/.f64 (cos.f64 (.f64 2 x)) (.f64 (pow.f64 c 2) (*.f64 (pow.f64 s 2) (pow.f64 x 2))))
(/.f64 (/.f64 (cos.f64 (.f64 x 2)) (.f64 c c)) (.f64 (.f64 s s) (*.f64 x x)))
(/.f64 (cos.f64 (.f64 x 2)) (.f64 (.f64 c c) (.f64 s (.f64 s (.f64 x x)))))
(/.f64 (cos.f64 (.f64 x 2)) (.f64 s (.f64 (.f64 c c) (.f64 x (.f64 s x)))))
(/.f64 (cos.f64 (.f64 x 2)) (.f64 c (.f64 (.f64 x x) (.f64 c (.f64 s s)))))
(/.f64 (cos.f64 (.f64 2 x)) (.f64 (pow.f64 c 2) (*.f64 (pow.f64 s 2) (pow.f64 x 2))))
(/.f64 (/.f64 (cos.f64 (.f64 x 2)) (.f64 c c)) (.f64 (.f64 s s) (*.f64 x x)))
(/.f64 (cos.f64 (.f64 x 2)) (.f64 (.f64 c c) (.f64 s (.f64 s (.f64 x x)))))
(/.f64 (cos.f64 (.f64 x 2)) (.f64 s (.f64 (.f64 c c) (.f64 x (.f64 s x)))))
(/.f64 (cos.f64 (.f64 x 2)) (.f64 c (.f64 (.f64 x x) (.f64 c (.f64 s s)))))
(/.f64 (cos.f64 (.f64 2 x)) (.f64 (pow.f64 c 2) (*.f64 (pow.f64 s 2) (pow.f64 x 2))))
(/.f64 (/.f64 (cos.f64 (.f64 x 2)) (.f64 c c)) (.f64 (.f64 s s) (*.f64 x x)))
(/.f64 (cos.f64 (.f64 x 2)) (.f64 (.f64 c c) (.f64 s (.f64 s (.f64 x x)))))
(/.f64 (cos.f64 (.f64 x 2)) (.f64 s (.f64 (.f64 c c) (.f64 x (.f64 s x)))))
(/.f64 (cos.f64 (.f64 x 2)) (.f64 c (.f64 (.f64 x x) (.f64 c (.f64 s s)))))
(/.f64 (cos.f64 (.f64 2 x)) (.f64 (pow.f64 s 2) (*.f64 (pow.f64 c 2) (pow.f64 x 2))))
(/.f64 (/.f64 (cos.f64 (.f64 x 2)) (.f64 c c)) (.f64 (.f64 s s) (*.f64 x x)))
(/.f64 (cos.f64 (.f64 x 2)) (.f64 (.f64 c c) (.f64 s (.f64 s (.f64 x x)))))
(/.f64 (cos.f64 (.f64 x 2)) (.f64 s (.f64 (.f64 c c) (.f64 x (.f64 s x)))))
(/.f64 (cos.f64 (.f64 x 2)) (.f64 c (.f64 (.f64 x x) (.f64 c (.f64 s s)))))
(/.f64 (cos.f64 (.f64 2 x)) (.f64 (pow.f64 s 2) (*.f64 (pow.f64 c 2) (pow.f64 x 2))))
(/.f64 (/.f64 (cos.f64 (.f64 x 2)) (.f64 c c)) (.f64 (.f64 s s) (*.f64 x x)))
(/.f64 (cos.f64 (.f64 x 2)) (.f64 (.f64 c c) (.f64 s (.f64 s (.f64 x x)))))
(/.f64 (cos.f64 (.f64 x 2)) (.f64 s (.f64 (.f64 c c) (.f64 x (.f64 s x)))))
(/.f64 (cos.f64 (.f64 x 2)) (.f64 c (.f64 (.f64 x x) (.f64 c (.f64 s s)))))
(/.f64 (cos.f64 (.f64 2 x)) (.f64 (pow.f64 s 2) (*.f64 (pow.f64 c 2) (pow.f64 x 2))))
(/.f64 (/.f64 (cos.f64 (.f64 x 2)) (.f64 c c)) (.f64 (.f64 s s) (*.f64 x x)))
(/.f64 (cos.f64 (.f64 x 2)) (.f64 (.f64 c c) (.f64 s (.f64 s (.f64 x x)))))
(/.f64 (cos.f64 (.f64 x 2)) (.f64 s (.f64 (.f64 c c) (.f64 x (.f64 s x)))))
(/.f64 (cos.f64 (.f64 x 2)) (.f64 c (.f64 (.f64 x x) (.f64 c (.f64 s s)))))
(/.f64 (cos.f64 (.f64 2 x)) (.f64 (pow.f64 s 2) (*.f64 (pow.f64 c 2) (pow.f64 x 2))))
(/.f64 (/.f64 (cos.f64 (.f64 x 2)) (.f64 c c)) (.f64 (.f64 s s) (*.f64 x x)))
(/.f64 (cos.f64 (.f64 x 2)) (.f64 (.f64 c c) (.f64 s (.f64 s (.f64 x x)))))
(/.f64 (cos.f64 (.f64 x 2)) (.f64 s (.f64 (.f64 c c) (.f64 x (.f64 s x)))))
(/.f64 (cos.f64 (.f64 x 2)) (.f64 c (.f64 (.f64 x x) (.f64 c (.f64 s s)))))
(/.f64 (cos.f64 (.f64 2 x)) (.f64 (pow.f64 s 2) (*.f64 (pow.f64 c 2) (pow.f64 x 2))))
(/.f64 (/.f64 (cos.f64 (.f64 x 2)) (.f64 c c)) (.f64 (.f64 s s) (*.f64 x x)))
(/.f64 (cos.f64 (.f64 x 2)) (.f64 (.f64 c c) (.f64 s (.f64 s (.f64 x x)))))
(/.f64 (cos.f64 (.f64 x 2)) (.f64 s (.f64 (.f64 c c) (.f64 x (.f64 s x)))))
(/.f64 (cos.f64 (.f64 x 2)) (.f64 c (.f64 (.f64 x x) (.f64 c (.f64 s s)))))
(/.f64 (cos.f64 (.f64 2 x)) (.f64 (pow.f64 s 2) (*.f64 (pow.f64 c 2) (pow.f64 x 2))))
(/.f64 (/.f64 (cos.f64 (.f64 x 2)) (.f64 c c)) (.f64 (.f64 s s) (*.f64 x x)))
(/.f64 (cos.f64 (.f64 x 2)) (.f64 (.f64 c c) (.f64 s (.f64 s (.f64 x x)))))
(/.f64 (cos.f64 (.f64 x 2)) (.f64 s (.f64 (.f64 c c) (.f64 x (.f64 s x)))))
(/.f64 (cos.f64 (.f64 x 2)) (.f64 c (.f64 (.f64 x x) (.f64 c (.f64 s s)))))
(/.f64 (cos.f64 (.f64 2 x)) (.f64 (pow.f64 s 2) (*.f64 (pow.f64 c 2) (pow.f64 x 2))))
(/.f64 (/.f64 (cos.f64 (.f64 x 2)) (.f64 c c)) (.f64 (.f64 s s) (*.f64 x x)))
(/.f64 (cos.f64 (.f64 x 2)) (.f64 (.f64 c c) (.f64 s (.f64 s (.f64 x x)))))
(/.f64 (cos.f64 (.f64 x 2)) (.f64 s (.f64 (.f64 c c) (.f64 x (.f64 s x)))))
(/.f64 (cos.f64 (.f64 x 2)) (.f64 c (.f64 (.f64 x x) (.f64 c (.f64 s s)))))
(/.f64 (cos.f64 (.f64 2 x)) (.f64 (pow.f64 s 2) (*.f64 (pow.f64 c 2) (pow.f64 x 2))))
(/.f64 (/.f64 (cos.f64 (.f64 x 2)) (.f64 c c)) (.f64 (.f64 s s) (*.f64 x x)))
(/.f64 (cos.f64 (.f64 x 2)) (.f64 (.f64 c c) (.f64 s (.f64 s (.f64 x x)))))
(/.f64 (cos.f64 (.f64 x 2)) (.f64 s (.f64 (.f64 c c) (.f64 x (.f64 s x)))))
(/.f64 (cos.f64 (.f64 x 2)) (.f64 c (.f64 (.f64 x x) (.f64 c (.f64 s s)))))
(/.f64 (cos.f64 (.f64 2 x)) (.f64 (pow.f64 s 2) (*.f64 (pow.f64 c 2) (pow.f64 x 2))))
(/.f64 (/.f64 (cos.f64 (.f64 x 2)) (.f64 c c)) (.f64 (.f64 s s) (*.f64 x x)))
(/.f64 (cos.f64 (.f64 x 2)) (.f64 (.f64 c c) (.f64 s (.f64 s (.f64 x x)))))
(/.f64 (cos.f64 (.f64 x 2)) (.f64 s (.f64 (.f64 c c) (.f64 x (.f64 s x)))))
(/.f64 (cos.f64 (.f64 x 2)) (.f64 c (.f64 (.f64 x x) (.f64 c (.f64 s s)))))
(/.f64 (cos.f64 (.f64 2 x)) (.f64 (pow.f64 s 2) (*.f64 (pow.f64 c 2) (pow.f64 x 2))))
(/.f64 (/.f64 (cos.f64 (.f64 x 2)) (.f64 c c)) (.f64 (.f64 s s) (*.f64 x x)))
(/.f64 (cos.f64 (.f64 x 2)) (.f64 (.f64 c c) (.f64 s (.f64 s (.f64 x x)))))
(/.f64 (cos.f64 (.f64 x 2)) (.f64 s (.f64 (.f64 c c) (.f64 x (.f64 s x)))))
(/.f64 (cos.f64 (.f64 x 2)) (.f64 c (.f64 (.f64 x x) (.f64 c (.f64 s s)))))
(/.f64 (cos.f64 (.f64 2 x)) (.f64 (pow.f64 s 2) (*.f64 (pow.f64 c 2) (pow.f64 x 2))))
(/.f64 (/.f64 (cos.f64 (.f64 x 2)) (.f64 c c)) (.f64 (.f64 s s) (*.f64 x x)))
(/.f64 (cos.f64 (.f64 x 2)) (.f64 (.f64 c c) (.f64 s (.f64 s (.f64 x x)))))
(/.f64 (cos.f64 (.f64 x 2)) (.f64 s (.f64 (.f64 c c) (.f64 x (.f64 s x)))))
(/.f64 (cos.f64 (.f64 x 2)) (.f64 c (.f64 (.f64 x x) (.f64 c (.f64 s s)))))
(/.f64 (cos.f64 (.f64 2 x)) (.f64 (pow.f64 s 2) (*.f64 (pow.f64 c 2) (pow.f64 x 2))))
(/.f64 (/.f64 (cos.f64 (.f64 x 2)) (.f64 c c)) (.f64 (.f64 s s) (*.f64 x x)))
(/.f64 (cos.f64 (.f64 x 2)) (.f64 (.f64 c c) (.f64 s (.f64 s (.f64 x x)))))
(/.f64 (cos.f64 (.f64 x 2)) (.f64 s (.f64 (.f64 c c) (.f64 x (.f64 s x)))))
(/.f64 (cos.f64 (.f64 x 2)) (.f64 c (.f64 (.f64 x x) (.f64 c (.f64 s s)))))

prune295.0ms (4.3%)

Pruning

13 alts after pruning (12 fresh and 1 done)

	Pruned	Kept	Total
New	164	2	166
Fresh	3	10	13
Picked	0	1	1
Done	0	0	0
Total	167	13	180

Error

0.0b

Counts

180 → 13

Alt Table

Status	Error	Program
	3.9b	(.f64 (/.f64 (pow.f64 (cbrt.f64 (cos.f64 (+.f64 x x))) 2) 1) (/.f64 (cbrt.f64 (cos.f64 (+.f64 x x))) (pow.f64 (.f64 c (*.f64 s x)) 2)))
	19.6b	(/.f64 (cos.f64 (.f64 2 x)) (.f64 s (.f64 x (.f64 (.f64 x (.f64 c c)) s))))
▶	3.3b	(/.f64 (.f64 (/.f64 (cos.f64 (+.f64 x x)) x) (/.f64 1 (.f64 c s))) (.f64 x (.f64 c s)))
	3.7b	(.f64 (/.f64 (cos.f64 (+.f64 x x)) (.f64 c (.f64 s x))) (/.f64 1 (/.f64 c (/.f64 1 (.f64 s x)))))
	4.8b	(/.f64 (cos.f64 (.f64 x 2)) (.f64 s (.f64 (.f64 c x) (.f64 s (.f64 c x)))))
	4.0b	(pow.f64 (cbrt.f64 (.f64 (cos.f64 (+.f64 x x)) (pow.f64 (.f64 c (*.f64 s x)) -2))) 3)
✓	2.9b	(/.f64 (/.f64 (cos.f64 (+.f64 x x)) (.f64 x (.f64 c s))) (.f64 x (.f64 c s)))
	10.2b	(.f64 (/.f64 1 (.f64 x (.f64 c (.f64 s x)))) (/.f64 (cos.f64 (+.f64 x x)) (*.f64 c s)))
	6.1b	(/.f64 (cos.f64 (.f64 2 x)) (.f64 (.f64 x (.f64 c s)) (.f64 c (.f64 s x))))
	13.6b	(.f64 (/.f64 1 x) (/.f64 (cos.f64 (+.f64 x x)) (.f64 (pow.f64 (*.f64 c s) 2) x)))
	3.7b	(pow.f64 (/.f64 (pow.f64 (.f64 c (.f64 s x)) 2) (cos.f64 (+.f64 x x))) -1)
	6.2b	(/.f64 (/.f64 1 (.f64 x (.f64 c s))) (/.f64 c (/.f64 (cos.f64 (+.f64 x x)) (*.f64 s x))))
	5.3b	(/.f64 (.f64 (/.f64 1 (.f64 x c)) (/.f64 (cos.f64 (+.f64 x x)) s)) (.f64 x (.f64 c s)))

Compiler

Compiled 4149 to 1276 computations (69.2% saved)

localize11.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(/.f64 (.f64 (/.f64 (cos.f64 (+.f64 x x)) x) (/.f64 1 (.f64 c s))) (.f64 x (.f64 c s)))
✓	0.8b	(/.f64 1 (*.f64 c s))
✓	5.6b	(.f64 (/.f64 (cos.f64 (+.f64 x x)) x) (/.f64 1 (.f64 c s)))
	5.7b	(.f64 x (.f64 c s))

series10.0ms (0.1%)

Counts

3 → 84

Calls

24 calls:

Time	Variable		Point	Expression
1.0ms	c	@	-inf	(/.f64 1 (*.f64 c s))
1.0ms	c	@	0	(/.f64 1 (*.f64 c s))
1.0ms	s	@	0	(/.f64 1 (*.f64 c s))
0.0ms	s	@	-inf	(/.f64 1 (*.f64 c s))
0.0ms	x	@	0	(.f64 (/.f64 (cos.f64 (+.f64 x x)) x) (/.f64 1 (.f64 c s)))

rewrite78.0ms (1.1%)

Algorithm

1×	batch-egg-rewrite

Rules

601×	`prod-diff_binary64`
159×	`times-frac_binary64`
155×	`add-sqr-sqrt_binary64`
151×	`*-un-lft-identity_binary64`
151×	`pow1_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	13	46
1	299	40
2	4873	40

Stop Event

1×	node limit

Counts

3 → 145

Calls

Call 1

Inputs
(.f64 (/.f64 (cos.f64 (+.f64 x x)) x) (/.f64 1 (.f64 c s)))
(/.f64 1 (*.f64 c s))
(/.f64 (.f64 (/.f64 (cos.f64 (+.f64 x x)) x) (/.f64 1 (.f64 c s))) (.f64 x (.f64 c s)))

Outputs

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#<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 1 (*.f64 c s)) (sqrt.f64 (*.f64 x (*.f64 c s)))) (/.f64 (/.f64 (cos.f64 (/.f64 0 0)) x) (sqrt.f64 (*.f64 x (*.f64 c s)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 (cos.f64 (/.f64 0 0)) (*.f64 x (*.f64 c s)))) 2) (sqrt.f64 (*.f64 x (*.f64 c s)))) (/.f64 (cbrt.f64 (/.f64 (cos.f64 (/.f64 0 0)) (*.f64 x (*.f64 c s)))) (sqrt.f64 (*.f64 x (*.f64 c s)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 (cos.f64 (/.f64 0 0)) x) (*.f64 x c)) (/.f64 (/.f64 1 (*.f64 c s)) s))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (*.f64 x c)) (/.f64 (/.f64 (cos.f64 (/.f64 0 0)) (*.f64 x (*.f64 c s))) s))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 1 (*.f64 c s)) (*.f64 x c)) (/.f64 (/.f64 (cos.f64 (/.f64 0 0)) x) s))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 (cos.f64 (/.f64 0 0)) (*.f64 x (*.f64 c s)))) 2) (*.f64 x c)) (/.f64 (cbrt.f64 (/.f64 (cos.f64 (/.f64 0 0)) (*.f64 x (*.f64 c s)))) s))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (/.f64 (cos.f64 (/.f64 0 0)) (*.f64 x (*.f64 c s)))) (*.f64 x c)) (/.f64 (sqrt.f64 (/.f64 (cos.f64 (/.f64 0 0)) (*.f64 x (*.f64 c s)))) s))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (cos.f64 (/.f64 0 0)) (pow.f64 (*.f64 x (*.f64 c s)) 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (cos.f64 (/.f64 0 0)) (pow.f64 (*.f64 x (*.f64 c s)) 2)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (cos.f64 (/.f64 0 0)) (pow.f64 (*.f64 x (*.f64 c s)) 2))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (cos.f64 (/.f64 0 0)) (pow.f64 (*.f64 x (*.f64 c s)) 2))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (/.f64 x (cos.f64 (/.f64 0 0))) (/.f64 x (pow.f64 (*.f64 c s) -2))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (/.f64 (cos.f64 (/.f64 0 0)) (*.f64 x (*.f64 c s))) (*.f64 x (*.f64 c (neg.f64 s)))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (cos.f64 (/.f64 0 0)) (pow.f64 (*.f64 x (*.f64 c s)) 2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (cos.f64 (/.f64 0 0)) (pow.f64 (*.f64 x (*.f64 c s)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (cos.f64 (/.f64 0 0)) (pow.f64 (*.f64 x (*.f64 c s)) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (cos.f64 (/.f64 0 0)) (pow.f64 (*.f64 x (*.f64 c s)) 2)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (/.f64 (cos.f64 (/.f64 0 0)) (*.f64 x (*.f64 c s))) 3) (pow.f64 (*.f64 x (*.f64 c s)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (cos.f64 (/.f64 0 0)) (pow.f64 (*.f64 x (*.f64 c s)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 (cos.f64 (/.f64 0 0)) (pow.f64 (*.f64 x (*.f64 c s)) 2))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (cos.f64 (/.f64 0 0)) (pow.f64 (*.f64 x (*.f64 c s)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (cos.f64 (/.f64 0 0)) (pow.f64 (*.f64 x (*.f64 c s)) 2))))))))

simplify73.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

906×	`fma-def_binary64`
793×	`associate-*l/_binary64`
368×	`unswap-sqr_binary64`
309×	`associate-/r*_binary64`
260×	`associate-/r/_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	67	1623
1	195	1619
2	551	1619
3	2370	1614

Stop Event

1×	node limit

Counts

229 → 171

Calls

Call 1

Inputs
(/.f64 1 (.f64 s (.f64 c x)))
(+.f64 (.f64 -2 (/.f64 x (.f64 s c))) (/.f64 1 (.f64 c (.f64 s x))))
(+.f64 (.f64 -2 (/.f64 x (.f64 s c))) (+.f64 (.f64 2/3 (/.f64 (pow.f64 x 3) (.f64 c s))) (/.f64 1 (.f64 c (.f64 s x)))))
(+.f64 (.f64 -4/45 (/.f64 (pow.f64 x 5) (.f64 s c))) (+.f64 (.f64 -2 (/.f64 x (.f64 s c))) (+.f64 (.f64 2/3 (/.f64 (pow.f64 x 3) (.f64 c s))) (/.f64 1 (.f64 c (.f64 s x))))))
(/.f64 (cos.f64 (.f64 2 x)) (.f64 s (*.f64 c x)))
(/.f64 (cos.f64 (.f64 2 x)) (.f64 s (*.f64 c x)))
(/.f64 (cos.f64 (.f64 2 x)) (.f64 s (*.f64 c x)))
(/.f64 (cos.f64 (.f64 2 x)) (.f64 s (*.f64 c x)))
(/.f64 (cos.f64 (neg.f64 (.f64 -2 x))) (.f64 c (*.f64 s x)))
(/.f64 (cos.f64 (neg.f64 (.f64 -2 x))) (.f64 c (*.f64 s x)))
(/.f64 (cos.f64 (neg.f64 (.f64 -2 x))) (.f64 c (*.f64 s x)))
(/.f64 (cos.f64 (neg.f64 (.f64 -2 x))) (.f64 c (*.f64 s x)))
(/.f64 (cos.f64 (.f64 2 x)) (.f64 c (*.f64 s x)))
(/.f64 (cos.f64 (.f64 2 x)) (.f64 c (*.f64 s x)))
(/.f64 (cos.f64 (.f64 2 x)) (.f64 c (*.f64 s x)))
(/.f64 (cos.f64 (.f64 2 x)) (.f64 c (*.f64 s x)))
(/.f64 (cos.f64 (.f64 2 x)) (.f64 c (*.f64 s x)))
(/.f64 (cos.f64 (.f64 2 x)) (.f64 c (*.f64 s x)))
(/.f64 (cos.f64 (.f64 2 x)) (.f64 c (*.f64 s x)))
(/.f64 (cos.f64 (.f64 2 x)) (.f64 c (*.f64 s x)))
(/.f64 (cos.f64 (.f64 2 x)) (.f64 c (*.f64 s x)))
(/.f64 (cos.f64 (.f64 2 x)) (.f64 c (*.f64 s x)))
(/.f64 (cos.f64 (.f64 2 x)) (.f64 c (*.f64 s x)))
(/.f64 (cos.f64 (.f64 2 x)) (.f64 c (*.f64 s x)))
(/.f64 (cos.f64 (.f64 2 x)) (.f64 s (*.f64 c x)))
(/.f64 (cos.f64 (.f64 2 x)) (.f64 s (*.f64 c x)))
(/.f64 (cos.f64 (.f64 2 x)) (.f64 s (*.f64 c x)))
(/.f64 (cos.f64 (.f64 2 x)) (.f64 s (*.f64 c x)))
(/.f64 (cos.f64 (.f64 2 x)) (.f64 s (*.f64 c x)))
(/.f64 (cos.f64 (.f64 2 x)) (.f64 s (*.f64 c x)))
(/.f64 (cos.f64 (.f64 2 x)) (.f64 s (*.f64 c x)))
(/.f64 (cos.f64 (.f64 2 x)) (.f64 s (*.f64 c x)))
(/.f64 (cos.f64 (.f64 2 x)) (.f64 s (*.f64 c x)))
(/.f64 (cos.f64 (.f64 2 x)) (.f64 s (*.f64 c x)))
(/.f64 (cos.f64 (.f64 2 x)) (.f64 s (*.f64 c x)))
(/.f64 (cos.f64 (.f64 2 x)) (.f64 s (*.f64 c x)))
(/.f64 1 (*.f64 s c))
(/.f64 1 (*.f64 s c))
(/.f64 1 (*.f64 s c))
(/.f64 1 (*.f64 s c))
(/.f64 1 (*.f64 s c))
(/.f64 1 (*.f64 s c))
(/.f64 1 (*.f64 s c))
(/.f64 1 (*.f64 s c))
(/.f64 1 (*.f64 s c))
(/.f64 1 (*.f64 s c))
(/.f64 1 (*.f64 s c))
(/.f64 1 (*.f64 s c))
(/.f64 1 (.f64 (pow.f64 c 2) (.f64 (pow.f64 s 2) (pow.f64 x 2))))
(-.f64 (/.f64 1 (.f64 (pow.f64 s 2) (.f64 (pow.f64 c 2) (pow.f64 x 2)))) (.f64 2 (/.f64 1 (.f64 (pow.f64 c 2) (pow.f64 s 2)))))
(-.f64 (+.f64 (/.f64 1 (.f64 (pow.f64 s 2) (.f64 (pow.f64 c 2) (pow.f64 x 2)))) (.f64 2/3 (/.f64 (pow.f64 x 2) (.f64 (pow.f64 s 2) (pow.f64 c 2))))) (.f64 2 (/.f64 1 (.f64 (pow.f64 c 2) (pow.f64 s 2)))))
(-.f64 (+.f64 (.f64 -4/45 (/.f64 (pow.f64 x 4) (.f64 (pow.f64 c 2) (pow.f64 s 2)))) (+.f64 (/.f64 1 (.f64 (pow.f64 s 2) (.f64 (pow.f64 c 2) (pow.f64 x 2)))) (.f64 2/3 (/.f64 (pow.f64 x 2) (.f64 (pow.f64 s 2) (pow.f64 c 2)))))) (.f64 2 (/.f64 1 (.f64 (pow.f64 c 2) (pow.f64 s 2)))))
(/.f64 (cos.f64 (.f64 2 x)) (.f64 (pow.f64 c 2) (*.f64 (pow.f64 s 2) (pow.f64 x 2))))
(/.f64 (cos.f64 (.f64 2 x)) (.f64 (pow.f64 c 2) (*.f64 (pow.f64 s 2) (pow.f64 x 2))))
(/.f64 (cos.f64 (.f64 2 x)) (.f64 (pow.f64 c 2) (*.f64 (pow.f64 s 2) (pow.f64 x 2))))
(/.f64 (cos.f64 (.f64 2 x)) (.f64 (pow.f64 c 2) (*.f64 (pow.f64 s 2) (pow.f64 x 2))))
(/.f64 (cos.f64 (neg.f64 (.f64 -2 x))) (.f64 (pow.f64 c 2) (*.f64 (pow.f64 s 2) (pow.f64 x 2))))
(/.f64 (cos.f64 (neg.f64 (.f64 -2 x))) (.f64 (pow.f64 c 2) (*.f64 (pow.f64 s 2) (pow.f64 x 2))))
(/.f64 (cos.f64 (neg.f64 (.f64 -2 x))) (.f64 (pow.f64 c 2) (*.f64 (pow.f64 s 2) (pow.f64 x 2))))
(/.f64 (cos.f64 (neg.f64 (.f64 -2 x))) (.f64 (pow.f64 c 2) (*.f64 (pow.f64 s 2) (pow.f64 x 2))))
(/.f64 (cos.f64 (.f64 2 x)) (.f64 (pow.f64 c 2) (*.f64 (pow.f64 s 2) (pow.f64 x 2))))
(/.f64 (cos.f64 (.f64 2 x)) (.f64 (pow.f64 c 2) (*.f64 (pow.f64 s 2) (pow.f64 x 2))))
(/.f64 (cos.f64 (.f64 2 x)) (.f64 (pow.f64 c 2) (*.f64 (pow.f64 s 2) (pow.f64 x 2))))
(/.f64 (cos.f64 (.f64 2 x)) (.f64 (pow.f64 c 2) (*.f64 (pow.f64 s 2) (pow.f64 x 2))))
(/.f64 (cos.f64 (.f64 2 x)) (.f64 (pow.f64 c 2) (*.f64 (pow.f64 s 2) (pow.f64 x 2))))
(/.f64 (cos.f64 (.f64 2 x)) (.f64 (pow.f64 c 2) (*.f64 (pow.f64 s 2) (pow.f64 x 2))))
(/.f64 (cos.f64 (.f64 2 x)) (.f64 (pow.f64 c 2) (*.f64 (pow.f64 s 2) (pow.f64 x 2))))
(/.f64 (cos.f64 (.f64 2 x)) (.f64 (pow.f64 c 2) (*.f64 (pow.f64 s 2) (pow.f64 x 2))))
(/.f64 (cos.f64 (.f64 2 x)) (.f64 (pow.f64 c 2) (*.f64 (pow.f64 s 2) (pow.f64 x 2))))
(/.f64 (cos.f64 (.f64 2 x)) (.f64 (pow.f64 c 2) (*.f64 (pow.f64 s 2) (pow.f64 x 2))))
(/.f64 (cos.f64 (.f64 2 x)) (.f64 (pow.f64 c 2) (*.f64 (pow.f64 s 2) (pow.f64 x 2))))
(/.f64 (cos.f64 (.f64 2 x)) (.f64 (pow.f64 c 2) (*.f64 (pow.f64 s 2) (pow.f64 x 2))))
(/.f64 (cos.f64 (.f64 2 x)) (.f64 (pow.f64 s 2) (*.f64 (pow.f64 c 2) (pow.f64 x 2))))
(/.f64 (cos.f64 (.f64 2 x)) (.f64 (pow.f64 s 2) (*.f64 (pow.f64 c 2) (pow.f64 x 2))))
(/.f64 (cos.f64 (.f64 2 x)) (.f64 (pow.f64 s 2) (*.f64 (pow.f64 c 2) (pow.f64 x 2))))
(/.f64 (cos.f64 (.f64 2 x)) (.f64 (pow.f64 s 2) (*.f64 (pow.f64 c 2) (pow.f64 x 2))))
(/.f64 (cos.f64 (.f64 2 x)) (.f64 (pow.f64 s 2) (*.f64 (pow.f64 c 2) (pow.f64 x 2))))
(/.f64 (cos.f64 (.f64 2 x)) (.f64 (pow.f64 s 2) (*.f64 (pow.f64 c 2) (pow.f64 x 2))))
(/.f64 (cos.f64 (.f64 2 x)) (.f64 (pow.f64 s 2) (*.f64 (pow.f64 c 2) (pow.f64 x 2))))
(/.f64 (cos.f64 (.f64 2 x)) (.f64 (pow.f64 s 2) (*.f64 (pow.f64 c 2) (pow.f64 x 2))))
(/.f64 (cos.f64 (.f64 2 x)) (.f64 (pow.f64 s 2) (*.f64 (pow.f64 c 2) (pow.f64 x 2))))
(/.f64 (cos.f64 (.f64 2 x)) (.f64 (pow.f64 s 2) (*.f64 (pow.f64 c 2) (pow.f64 x 2))))
(/.f64 (cos.f64 (.f64 2 x)) (.f64 (pow.f64 s 2) (*.f64 (pow.f64 c 2) (pow.f64 x 2))))
(/.f64 (cos.f64 (.f64 2 x)) (.f64 (pow.f64 s 2) (*.f64 (pow.f64 c 2) (pow.f64 x 2))))

Outputs
(/.f64 1 (.f64 s (.f64 c x)))
(/.f64 (/.f64 1 (*.f64 s x)) c)
(+.f64 (.f64 -2 (/.f64 x (.f64 s c))) (/.f64 1 (.f64 c (.f64 s x))))
(fma.f64 -2 (/.f64 x (.f64 s c)) (/.f64 1 (.f64 s (*.f64 c x))))
(fma.f64 -2 (/.f64 (/.f64 x s) c) (/.f64 1 (.f64 s (.f64 c x))))
(fma.f64 -2 (/.f64 (/.f64 x s) c) (/.f64 (/.f64 1 (*.f64 s x)) c))
(+.f64 (.f64 -2 (/.f64 x (.f64 s c))) (+.f64 (.f64 2/3 (/.f64 (pow.f64 x 3) (.f64 c s))) (/.f64 1 (.f64 c (.f64 s x)))))
(fma.f64 -2 (/.f64 x (.f64 s c)) (fma.f64 2/3 (/.f64 (pow.f64 x 3) (.f64 s c)) (/.f64 1 (.f64 s (.f64 c x)))))
(fma.f64 -2 (/.f64 (/.f64 x s) c) (fma.f64 2/3 (/.f64 (pow.f64 x 3) (.f64 s c)) (/.f64 1 (.f64 s (*.f64 c x)))))
(fma.f64 -2 (/.f64 (/.f64 x s) c) (fma.f64 2/3 (/.f64 (pow.f64 x 3) (.f64 s c)) (/.f64 (/.f64 1 (.f64 s x)) c)))
(+.f64 (.f64 -4/45 (/.f64 (pow.f64 x 5) (.f64 s c))) (+.f64 (.f64 -2 (/.f64 x (.f64 s c))) (+.f64 (.f64 2/3 (/.f64 (pow.f64 x 3) (.f64 c s))) (/.f64 1 (.f64 c (.f64 s x))))))
(fma.f64 -4/45 (/.f64 (pow.f64 x 5) (.f64 s c)) (fma.f64 -2 (/.f64 x (.f64 s c)) (fma.f64 2/3 (/.f64 (pow.f64 x 3) (.f64 s c)) (/.f64 1 (.f64 s (*.f64 c x))))))
(fma.f64 -4/45 (/.f64 (pow.f64 x 5) (.f64 s c)) (fma.f64 -2 (/.f64 (/.f64 x s) c) (fma.f64 2/3 (/.f64 (pow.f64 x 3) (.f64 s c)) (/.f64 1 (.f64 s (.f64 c x))))))
(fma.f64 -2 (/.f64 (/.f64 x s) c) (fma.f64 -4/45 (/.f64 (pow.f64 x 5) (.f64 s c)) (fma.f64 2/3 (/.f64 (pow.f64 x 3) (.f64 s c)) (/.f64 (/.f64 1 (*.f64 s x)) c))))
(fma.f64 -2 (/.f64 (/.f64 x s) c) (fma.f64 2/3 (/.f64 (pow.f64 x 3) (.f64 s c)) (fma.f64 (/.f64 (pow.f64 x 5) s) (/.f64 -4/45 c) (/.f64 1 (.f64 s (*.f64 c x))))))
(/.f64 (cos.f64 (.f64 2 x)) (.f64 s (*.f64 c x)))
(/.f64 (cos.f64 (.f64 x 2)) (.f64 s (*.f64 c x)))
(/.f64 (/.f64 (cos.f64 (.f64 x 2)) c) (.f64 s x))
(/.f64 (cos.f64 (.f64 2 x)) (.f64 s (*.f64 c x)))
(/.f64 (cos.f64 (.f64 x 2)) (.f64 s (*.f64 c x)))
(/.f64 (/.f64 (cos.f64 (.f64 x 2)) c) (.f64 s x))
(/.f64 (cos.f64 (.f64 2 x)) (.f64 s (*.f64 c x)))
(/.f64 (cos.f64 (.f64 x 2)) (.f64 s (*.f64 c x)))
(/.f64 (/.f64 (cos.f64 (.f64 x 2)) c) (.f64 s x))
(/.f64 (cos.f64 (.f64 2 x)) (.f64 s (*.f64 c x)))
(/.f64 (cos.f64 (.f64 x 2)) (.f64 s (*.f64 c x)))
(/.f64 (/.f64 (cos.f64 (.f64 x 2)) c) (.f64 s x))
(/.f64 (cos.f64 (neg.f64 (.f64 -2 x))) (.f64 c (*.f64 s x)))
(/.f64 (cos.f64 (.f64 x 2)) (.f64 s (*.f64 c x)))
(/.f64 (/.f64 (cos.f64 (.f64 x 2)) c) (.f64 s x))
(/.f64 (cos.f64 (neg.f64 (.f64 -2 x))) (.f64 c (*.f64 s x)))
(/.f64 (cos.f64 (.f64 x 2)) (.f64 s (*.f64 c x)))
(/.f64 (/.f64 (cos.f64 (.f64 x 2)) c) (.f64 s x))
(/.f64 (cos.f64 (neg.f64 (.f64 -2 x))) (.f64 c (*.f64 s x)))
(/.f64 (cos.f64 (.f64 x 2)) (.f64 s (*.f64 c x)))
(/.f64 (/.f64 (cos.f64 (.f64 x 2)) c) (.f64 s x))
(/.f64 (cos.f64 (neg.f64 (.f64 -2 x))) (.f64 c (*.f64 s x)))
(/.f64 (cos.f64 (.f64 x 2)) (.f64 s (*.f64 c x)))
(/.f64 (/.f64 (cos.f64 (.f64 x 2)) c) (.f64 s x))
(/.f64 (cos.f64 (.f64 2 x)) (.f64 c (*.f64 s x)))
(/.f64 (cos.f64 (.f64 x 2)) (.f64 s (*.f64 c x)))
(/.f64 (/.f64 (cos.f64 (.f64 x 2)) c) (.f64 s x))
(/.f64 (cos.f64 (.f64 2 x)) (.f64 c (*.f64 s x)))
(/.f64 (cos.f64 (.f64 x 2)) (.f64 s (*.f64 c x)))
(/.f64 (/.f64 (cos.f64 (.f64 x 2)) c) (.f64 s x))
(/.f64 (cos.f64 (.f64 2 x)) (.f64 c (*.f64 s x)))
(/.f64 (cos.f64 (.f64 x 2)) (.f64 s (*.f64 c x)))
(/.f64 (/.f64 (cos.f64 (.f64 x 2)) c) (.f64 s x))
(/.f64 (cos.f64 (.f64 2 x)) (.f64 c (*.f64 s x)))
(/.f64 (cos.f64 (.f64 x 2)) (.f64 s (*.f64 c x)))
(/.f64 (/.f64 (cos.f64 (.f64 x 2)) c) (.f64 s x))
(/.f64 (cos.f64 (.f64 2 x)) (.f64 c (*.f64 s x)))
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(/.f64 (cos.f64 (.f64 x 2)) (.f64 (.f64 c c) (.f64 (.f64 s s) (.f64 x x))))
(/.f64 (cos.f64 (.f64 x 2)) (.f64 (.f64 c c) (.f64 s (.f64 s (.f64 x x)))))
(/.f64 (cos.f64 (.f64 x 2)) (.f64 (.f64 c x) (.f64 (.f64 c x) (.f64 s s))))
(/.f64 (cos.f64 (.f64 x 2)) (.f64 s (.f64 s (.f64 (.f64 c x) (.f64 c x)))))
(/.f64 (cos.f64 (.f64 2 x)) (.f64 (pow.f64 s 2) (*.f64 (pow.f64 c 2) (pow.f64 x 2))))
(/.f64 (cos.f64 (.f64 x 2)) (.f64 (.f64 c c) (.f64 (.f64 s s) (.f64 x x))))
(/.f64 (cos.f64 (.f64 x 2)) (.f64 (.f64 c c) (.f64 s (.f64 s (.f64 x x)))))
(/.f64 (cos.f64 (.f64 x 2)) (.f64 (.f64 c x) (.f64 (.f64 c x) (.f64 s s))))
(/.f64 (cos.f64 (.f64 x 2)) (.f64 s (.f64 s (.f64 (.f64 c x) (.f64 c x)))))
(/.f64 (cos.f64 (.f64 2 x)) (.f64 (pow.f64 s 2) (*.f64 (pow.f64 c 2) (pow.f64 x 2))))
(/.f64 (cos.f64 (.f64 x 2)) (.f64 (.f64 c c) (.f64 (.f64 s s) (.f64 x x))))
(/.f64 (cos.f64 (.f64 x 2)) (.f64 (.f64 c c) (.f64 s (.f64 s (.f64 x x)))))
(/.f64 (cos.f64 (.f64 x 2)) (.f64 (.f64 c x) (.f64 (.f64 c x) (.f64 s s))))
(/.f64 (cos.f64 (.f64 x 2)) (.f64 s (.f64 s (.f64 (.f64 c x) (.f64 c x)))))
(/.f64 (cos.f64 (.f64 2 x)) (.f64 (pow.f64 s 2) (*.f64 (pow.f64 c 2) (pow.f64 x 2))))
(/.f64 (cos.f64 (.f64 x 2)) (.f64 (.f64 c c) (.f64 (.f64 s s) (.f64 x x))))
(/.f64 (cos.f64 (.f64 x 2)) (.f64 (.f64 c c) (.f64 s (.f64 s (.f64 x x)))))
(/.f64 (cos.f64 (.f64 x 2)) (.f64 (.f64 c x) (.f64 (.f64 c x) (.f64 s s))))
(/.f64 (cos.f64 (.f64 x 2)) (.f64 s (.f64 s (.f64 (.f64 c x) (.f64 c x)))))
(/.f64 (cos.f64 (.f64 2 x)) (.f64 (pow.f64 s 2) (*.f64 (pow.f64 c 2) (pow.f64 x 2))))
(/.f64 (cos.f64 (.f64 x 2)) (.f64 (.f64 c c) (.f64 (.f64 s s) (.f64 x x))))
(/.f64 (cos.f64 (.f64 x 2)) (.f64 (.f64 c c) (.f64 s (.f64 s (.f64 x x)))))
(/.f64 (cos.f64 (.f64 x 2)) (.f64 (.f64 c x) (.f64 (.f64 c x) (.f64 s s))))
(/.f64 (cos.f64 (.f64 x 2)) (.f64 s (.f64 s (.f64 (.f64 c x) (.f64 c x)))))
(/.f64 (cos.f64 (.f64 2 x)) (.f64 (pow.f64 s 2) (*.f64 (pow.f64 c 2) (pow.f64 x 2))))
(/.f64 (cos.f64 (.f64 x 2)) (.f64 (.f64 c c) (.f64 (.f64 s s) (.f64 x x))))
(/.f64 (cos.f64 (.f64 x 2)) (.f64 (.f64 c c) (.f64 s (.f64 s (.f64 x x)))))
(/.f64 (cos.f64 (.f64 x 2)) (.f64 (.f64 c x) (.f64 (.f64 c x) (.f64 s s))))
(/.f64 (cos.f64 (.f64 x 2)) (.f64 s (.f64 s (.f64 (.f64 c x) (.f64 c x)))))
(/.f64 (cos.f64 (.f64 2 x)) (.f64 (pow.f64 s 2) (*.f64 (pow.f64 c 2) (pow.f64 x 2))))
(/.f64 (cos.f64 (.f64 x 2)) (.f64 (.f64 c c) (.f64 (.f64 s s) (.f64 x x))))
(/.f64 (cos.f64 (.f64 x 2)) (.f64 (.f64 c c) (.f64 s (.f64 s (.f64 x x)))))
(/.f64 (cos.f64 (.f64 x 2)) (.f64 (.f64 c x) (.f64 (.f64 c x) (.f64 s s))))
(/.f64 (cos.f64 (.f64 x 2)) (.f64 s (.f64 s (.f64 (.f64 c x) (.f64 c x)))))
(/.f64 (cos.f64 (.f64 2 x)) (.f64 (pow.f64 s 2) (*.f64 (pow.f64 c 2) (pow.f64 x 2))))
(/.f64 (cos.f64 (.f64 x 2)) (.f64 (.f64 c c) (.f64 (.f64 s s) (.f64 x x))))
(/.f64 (cos.f64 (.f64 x 2)) (.f64 (.f64 c c) (.f64 s (.f64 s (.f64 x x)))))
(/.f64 (cos.f64 (.f64 x 2)) (.f64 (.f64 c x) (.f64 (.f64 c x) (.f64 s s))))
(/.f64 (cos.f64 (.f64 x 2)) (.f64 s (.f64 s (.f64 (.f64 c x) (.f64 c x)))))
(/.f64 (cos.f64 (.f64 2 x)) (.f64 (pow.f64 s 2) (*.f64 (pow.f64 c 2) (pow.f64 x 2))))
(/.f64 (cos.f64 (.f64 x 2)) (.f64 (.f64 c c) (.f64 (.f64 s s) (.f64 x x))))
(/.f64 (cos.f64 (.f64 x 2)) (.f64 (.f64 c c) (.f64 s (.f64 s (.f64 x x)))))
(/.f64 (cos.f64 (.f64 x 2)) (.f64 (.f64 c x) (.f64 (.f64 c x) (.f64 s s))))
(/.f64 (cos.f64 (.f64 x 2)) (.f64 s (.f64 s (.f64 (.f64 c x) (.f64 c x)))))
(/.f64 (cos.f64 (.f64 2 x)) (.f64 (pow.f64 s 2) (*.f64 (pow.f64 c 2) (pow.f64 x 2))))
(/.f64 (cos.f64 (.f64 x 2)) (.f64 (.f64 c c) (.f64 (.f64 s s) (.f64 x x))))
(/.f64 (cos.f64 (.f64 x 2)) (.f64 (.f64 c c) (.f64 s (.f64 s (.f64 x x)))))
(/.f64 (cos.f64 (.f64 x 2)) (.f64 (.f64 c x) (.f64 (.f64 c x) (.f64 s s))))
(/.f64 (cos.f64 (.f64 x 2)) (.f64 s (.f64 s (.f64 (.f64 c x) (.f64 c x)))))
(/.f64 (cos.f64 (.f64 2 x)) (.f64 (pow.f64 s 2) (*.f64 (pow.f64 c 2) (pow.f64 x 2))))
(/.f64 (cos.f64 (.f64 x 2)) (.f64 (.f64 c c) (.f64 (.f64 s s) (.f64 x x))))
(/.f64 (cos.f64 (.f64 x 2)) (.f64 (.f64 c c) (.f64 s (.f64 s (.f64 x x)))))
(/.f64 (cos.f64 (.f64 x 2)) (.f64 (.f64 c x) (.f64 (.f64 c x) (.f64 s s))))
(/.f64 (cos.f64 (.f64 x 2)) (.f64 s (.f64 s (.f64 (.f64 c x) (.f64 c x)))))

prune201.0ms (2.9%)

Pruning

13 alts after pruning (11 fresh and 2 done)

	Pruned	Kept	Total
New	194	0	194
Fresh	0	11	11
Picked	0	1	1
Done	0	1	1
Total	194	13	207

Error

0.0b

Counts

207 → 13

Alt Table

Status	Error	Program
	3.9b	(.f64 (/.f64 (pow.f64 (cbrt.f64 (cos.f64 (+.f64 x x))) 2) 1) (/.f64 (cbrt.f64 (cos.f64 (+.f64 x x))) (pow.f64 (.f64 c (*.f64 s x)) 2)))
	19.6b	(/.f64 (cos.f64 (.f64 2 x)) (.f64 s (.f64 x (.f64 (.f64 x (.f64 c c)) s))))
✓	3.3b	(/.f64 (.f64 (/.f64 (cos.f64 (+.f64 x x)) x) (/.f64 1 (.f64 c s))) (.f64 x (.f64 c s)))
	3.7b	(.f64 (/.f64 (cos.f64 (+.f64 x x)) (.f64 c (.f64 s x))) (/.f64 1 (/.f64 c (/.f64 1 (.f64 s x)))))
	4.8b	(/.f64 (cos.f64 (.f64 x 2)) (.f64 s (.f64 (.f64 c x) (.f64 s (.f64 c x)))))
	4.0b	(pow.f64 (cbrt.f64 (.f64 (cos.f64 (+.f64 x x)) (pow.f64 (.f64 c (*.f64 s x)) -2))) 3)
✓	2.9b	(/.f64 (/.f64 (cos.f64 (+.f64 x x)) (.f64 x (.f64 c s))) (.f64 x (.f64 c s)))
	10.2b	(.f64 (/.f64 1 (.f64 x (.f64 c (.f64 s x)))) (/.f64 (cos.f64 (+.f64 x x)) (*.f64 c s)))
	6.1b	(/.f64 (cos.f64 (.f64 2 x)) (.f64 (.f64 x (.f64 c s)) (.f64 c (.f64 s x))))
	13.6b	(.f64 (/.f64 1 x) (/.f64 (cos.f64 (+.f64 x x)) (.f64 (pow.f64 (*.f64 c s) 2) x)))
	3.7b	(pow.f64 (/.f64 (pow.f64 (.f64 c (.f64 s x)) 2) (cos.f64 (+.f64 x x))) -1)
	6.2b	(/.f64 (/.f64 1 (.f64 x (.f64 c s))) (/.f64 c (/.f64 (cos.f64 (+.f64 x x)) (*.f64 s x))))
	5.3b	(/.f64 (.f64 (/.f64 1 (.f64 x c)) (/.f64 (cos.f64 (+.f64 x x)) s)) (.f64 x (.f64 c s)))

Compiler

Compiled 4392 to 2068 computations (52.9% saved)

regimes487.0ms (7.1%)

Accuracy

Total -26.2b remaining (-3198.7%)

Threshold costs -26.2b (-3198.7%)

Counts

86 → 2

Compiler

Compiled 1524 to 565 computations (62.9% saved)

bsearch1.0ms (0%)

Algorithm

1×	left-value

Calls

1 calls:

0.0ms

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

Steps

Iters	Point		Range
#hash((type . real) (value . +inf))	∈ [	#hash((type . real) (value . +inf))	,	#hash((type . real) (value . NaN))	]

Compiler

Compiled 25 to 19 computations (24% saved)

simplify2.0ms (0%)

Algorithm

1×	egg-herbie

Rules

10×	`*-commutative_binary64`
1×	`1-exp_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	33	86
1	45	86

Stop Event

1×

saturated

Calls

Call 1

Inputs

(if (<=.f64 (/.f64 (cos.f64 (*.f64 2 x)) (*.f64 (pow.f64 c 2) (*.f64 (*.f64 x (pow.f64 s 2)) x))) +inf.0) (*.f64 (/.f64 (cos.f64 (+.f64 x x)) (*.f64 c (*.f64 s x))) (/.f64 1 (/.f64 c (/.f64 1 (*.f64 s x))))) (/.f64 (*.f64 (/.f64 (cos.f64 (+.f64 x x)) x) (/.f64 1 (*.f64 c s))) (*.f64 x (*.f64 c s))))

Outputs

(if (<=.f64 (/.f64 (cos.f64 (*.f64 2 x)) (*.f64 (pow.f64 c 2) (*.f64 (*.f64 x (pow.f64 s 2)) x))) +inf.0) (*.f64 (/.f64 (cos.f64 (+.f64 x x)) (*.f64 c (*.f64 s x))) (/.f64 1 (/.f64 c (/.f64 1 (*.f64 s x))))) (/.f64 (*.f64 (/.f64 (cos.f64 (+.f64 x x)) x) (/.f64 1 (*.f64 c s))) (*.f64 x (*.f64 c s))))

(if (<=.f64 (/.f64 (cos.f64 (*.f64 2 x)) (*.f64 (pow.f64 c 2) (*.f64 x (*.f64 x (pow.f64 s 2))))) +inf.0) (*.f64 (/.f64 (cos.f64 (+.f64 x x)) (*.f64 c (*.f64 x s))) (/.f64 1 (/.f64 c (/.f64 1 (*.f64 x s))))) (/.f64 (*.f64 (/.f64 (cos.f64 (+.f64 x x)) x) (/.f64 1 (*.f64 c s))) (*.f64 x (*.f64 c s))))

end131.0ms (1.9%)

Stop Event

1×

fuel

Remove

(sort c s)

Compiler

Compiled 464 to 220 computations (52.6% saved)

Details

analyze1.4s (20.5%)

sample2.8s (40.9%)

preprocess89.0ms (1.3%)

simplify65.0ms (1%)

prune4.0ms (0.1%)

localize8.0ms (0.1%)

series25.0ms (0.4%)

rewrite61.0ms (0.9%)

simplify49.0ms (0.7%)

prune194.0ms (2.8%)

localize10.0ms (0.1%)

series29.0ms (0.4%)

rewrite71.0ms (1%)

simplify51.0ms (0.8%)

prune564.0ms (8.2%)

localize9.0ms (0.1%)

series8.0ms (0.1%)

rewrite68.0ms (1%)

simplify46.0ms (0.7%)

prune295.0ms (4.3%)

localize11.0ms (0.2%)

series10.0ms (0.1%)

rewrite78.0ms (1.1%)

simplify73.0ms (1.1%)

prune201.0ms (2.9%)

regimes487.0ms (7.1%)

bsearch1.0ms (0%)

simplify2.0ms (0%)

end131.0ms (1.9%)

Profiling