Details

analyze473.0ms (6.9%)

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

Compiler

Compiled 20 to 15 computations (25% saved)

sample3.1s (45.5%)

Results

1.0s	6126×	body	64	valid
717.0ms	982×	body	1024	valid
418.0ms	2461×	body	64	invalid
350.0ms	624×	body	512	valid
158.0ms	203×	body	1024	invalid
150.0ms	338×	body	256	valid
127.0ms	229×	body	512	invalid
83.0ms	188×	body	256	invalid
56.0ms	184×	body	128	valid
24.0ms	82×	body	128	invalid
2.0ms	2×	body	2048	valid
1.0ms	1×	body	2048	invalid

preprocess156.0ms (2.3%)

Algorithm

2×	egg-herbie

Rules

2445×	`associate-/l/_binary64`
820×	`unswap-sqr_binary64`
681×	`sqr-pow_binary64`
342×	`pow-sqr_binary64`
227×	`*-commutative_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
16	5207	96
17	5481	96
18	5783	96
19	6105	96
20	6250	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 x)) (.f64 s (.f64 (.f64 x x) (.f64 (.f64 c c) 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 c)) (.f64 s (.f64 (.f64 x x) (.f64 (.f64 c c) 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 s)) (.f64 s (.f64 (.f64 x x) (.f64 (.f64 c c) 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)))))
(/.f64 (cos.f64 (.f64 2 x)) (.f64 s (.f64 (.f64 x x) (.f64 (.f64 c c) s))))

Symmetry

(sort c s)

Compiler

Compiled 19 to 14 computations (26.3% saved)

simplify104.0ms (1.5%)

Algorithm

1×	egg-herbie

Rules

750×	`unswap-sqr_binary64`
703×	`sqr-pow_binary64`
651×	`fabs-mul_binary64`
594×	`cube-prod_binary64`
516×	`*-commutative_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
14	5352	24
15	6097	24
16	7035	24
17	7587	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))))

prune3.0ms (0%)

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

1.9b

Counts

3 → 2

Alt Table

Status	Error	Program
	29.5b	(/.f64 (cos.f64 (.f64 2 x)) (.f64 (pow.f64 c 2) (.f64 (.f64 x (pow.f64 s 2)) x)))
▶	1.9b	(/.f64 (cos.f64 (.f64 2 x)) (.f64 (.f64 x (.f64 c s)) (.f64 x (.f64 c s))))

Compiler

Compiled 111 to 69 computations (37.8% saved)

localize8.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(cos.f64 (*.f64 2 x))
✓	0.3b	(.f64 (.f64 x (.f64 c s)) (.f64 x (*.f64 c s)))
✓	0.3b	(/.f64 (cos.f64 (.f64 2 x)) (.f64 (.f64 x (.f64 c s)) (.f64 x (.f64 c s))))
✓	3.2b	(.f64 x (.f64 c s))

series26.0ms (0.4%)

Counts

4 → 112

Calls

30 calls:

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

rewrite70.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

699×	`log-prod_binary64`
442×	`pow-prod-down_binary64`
313×	`pow2_binary64`
311×	`pow-unpow_binary64`
222×	`pow1/3_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	41
1	236	41
2	3216	41

Stop Event

1×	node limit

Counts

4 → 144

Calls

Call 1

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

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 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 c) (.f64 s x))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 c) (.f64 s x)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 c) (.f64 s x)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 c) (.f64 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 (pow.f64 (.f64 c (.f64 s x)) 6) 1/6)))) (#(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 (pow.f64 (cbrt.f64 (.f64 c (.f64 s x))) 2) 3/2)))) (#(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 (exp.f64 c) (.f64 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 log1p.f64 (expm1.f64 (.f64 c (.f64 s x))))))) (#(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 +.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 (pow.f64 (cbrt.f64 (exp.f64 (.f64 (cos.f64 (+.f64 x x)) (pow.f64 (.f64 c (.f64 s x)) -2)))) 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))) (cbrt.f64 (pow.f64 (/.f64 (sqrt.f64 (cos.f64 (+.f64 x x))) (.f64 c (.f64 s x))) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (pow.f64 (/.f64 (sqrt.f64 (cos.f64 (+.f64 x x))) (.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 (cbrt.f64 (pow.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 (cbrt.f64 (pow.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 (cbrt.f64 (pow.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 (cbrt.f64 (pow.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 (pow.f64 x -2) (/.f64 (cos.f64 (+.f64 x x)) (pow.f64 (.f64 c s) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (cbrt.f64 (pow.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 (pow.f64 (cbrt.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 (cbrt.f64 (pow.f64 (cos.f64 (+.f64 x x)) 2)) (pow.f64 (cbrt.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))) (pow.f64 (cbrt.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 (cbrt.f64 (pow.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 (sqrt.f64 (cos.f64 (+.f64 x x))) (.f64 c (.f64 s x))) 4) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (sqrt.f64 (cos.f64 (+.f64 x x))) (.f64 c (.f64 s x))) 6) 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 pow.f64 (/.f64 (pow.f64 (cos.f64 (+.f64 x x)) 3) (pow.f64 (.f64 c (.f64 s x)) 6)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (/.f64 (pow.f64 (.f64 c (.f64 s x)) 2) (cos.f64 (+.f64 x x))) 1) -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 (pow.f64 (/.f64 (sqrt.f64 (cos.f64 (+.f64 x x))) (.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 (sqrt.f64 (cos.f64 (+.f64 x x))) (.f64 c (.f64 s x))) 6))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (cos.f64 (+.f64 x x)) 3) (pow.f64 (.f64 c (.f64 s x)) 6)))))) (#(struct:change #<rule egg-rr> (2) 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((#(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 (pow.f64 (cbrt.f64 (exp.f64 (pow.f64 (.f64 c (.f64 s x)) 2))) 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 (.f64 c (.f64 s x)) 3) 2/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (.f64 c (.f64 s x)) 4) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (.f64 c (.f64 s x)) 6) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (.f64 c (.f64 s x))) 6)))) (#(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 pow.f64 (sqrt.f64 (.f64 c (.f64 s x))) 4)))) (#(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 (.f64 c (.f64 s x)) 6))))) (#(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 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)))))))
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x x)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (cos.f64 (+.f64 x x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (cos.f64 (+.f64 x x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (cos.f64 (+.f64 x x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (cos.f64 (+.f64 x x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (cos.f64 (+.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (cos.f64 (+.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (cos.f64 (+.f64 x x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (cos.f64 (+.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cos.f64 (+.f64 x x)) 1 (fma.f64 (neg.f64 (sin.f64 x)) (sin.f64 x) (pow.f64 (sin.f64 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (cos.f64 (+.f64 x x)) (fma.f64 (neg.f64 (sin.f64 x)) (sin.f64 x) (pow.f64 (sin.f64 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (pow.f64 (cos.f64 x) 2) (neg.f64 (pow.f64 (sin.f64 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (pow.f64 (cos.f64 x) 2) (.f64 (neg.f64 (sin.f64 x)) (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (cos.f64 (+.f64 x x))) (cbrt.f64 (pow.f64 (cos.f64 (+.f64 x x)) 2)) (fma.f64 (neg.f64 (sin.f64 x)) (sin.f64 x) (pow.f64 (sin.f64 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (pow.f64 (cos.f64 (+.f64 x x)) 2)) (cbrt.f64 (cos.f64 (+.f64 x x))) (fma.f64 (neg.f64 (sin.f64 x)) (sin.f64 x) (pow.f64 (sin.f64 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (cos.f64 (+.f64 x x))) (sqrt.f64 (cos.f64 (+.f64 x x))) (fma.f64 (neg.f64 (sin.f64 x)) (sin.f64 x) (pow.f64 (sin.f64 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cos.f64 x) (cos.f64 x) (neg.f64 (pow.f64 (sin.f64 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cos.f64 x) 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(#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cos.f64 (+.f64 x x))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (cos.f64 (+.f64 x x))))))))

simplify72.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

898×	`associate-/l*_binary64`
714×	`fma-def_binary64`
654×	`distribute-neg-frac_binary64`
436×	`associate-/l/_binary64`
414×	`associate-*l/_binary64`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	51	1826
1	141	1820
2	395	1820
3	1834	1815
4	6983	1813

Stop Event

1×	node limit

Counts

256 → 167

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 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 (.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))))
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1
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(+.f64 (.f64 2/3 (pow.f64 x 4)) (+.f64 (.f64 -2 (pow.f64 x 2)) 1))
(+.f64 (.f64 2/3 (pow.f64 x 4)) (+.f64 (.f64 -2 (pow.f64 x 2)) (+.f64 1 (*.f64 -4/45 (pow.f64 x 6)))))

Outputs
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(/.f64 (cos.f64 (.f64 2 x)) (.f64 (pow.f64 s 2) (*.f64 (pow.f64 c 2) (pow.f64 x 2))))
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(/.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 s (.f64 x (.f64 x (.f64 c c))))))
(/.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 x x) (.f64 (.f64 s c) (.f64 s c))))
(/.f64 (cos.f64 (.f64 x 2)) (.f64 s (.f64 s (.f64 x (.f64 x (.f64 c c))))))
(/.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 x x) (.f64 (.f64 s c) (.f64 s c))))
(/.f64 (cos.f64 (.f64 x 2)) (.f64 s (.f64 s (.f64 x (.f64 x (.f64 c c))))))
(/.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 x x) (.f64 (.f64 s c) (.f64 s c))))
(/.f64 (cos.f64 (.f64 x 2)) (.f64 s (.f64 s (.f64 x (.f64 x (.f64 c c))))))
(/.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 x x) (.f64 (.f64 s c) (.f64 s c))))
(/.f64 (cos.f64 (.f64 x 2)) (.f64 s (.f64 s (.f64 x (.f64 x (.f64 c c))))))
(/.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 x x) (.f64 (.f64 s c) (.f64 s c))))
(/.f64 (cos.f64 (.f64 x 2)) (.f64 s (.f64 s (.f64 x (.f64 x (.f64 c c))))))
(/.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 x x) (.f64 (.f64 s c) (.f64 s c))))
(/.f64 (cos.f64 (.f64 x 2)) (.f64 s (.f64 s (.f64 x (.f64 x (.f64 c c))))))
(/.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 x x) (.f64 (.f64 s c) (.f64 s c))))
(/.f64 (cos.f64 (.f64 x 2)) (.f64 s (.f64 s (.f64 x (.f64 x (.f64 c c))))))
(/.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 x x) (.f64 (.f64 s c) (.f64 s c))))
(/.f64 (cos.f64 (.f64 x 2)) (.f64 s (.f64 s (.f64 x (.f64 x (.f64 c c))))))
(/.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 x x) (.f64 (.f64 s c) (.f64 s c))))
(/.f64 (cos.f64 (.f64 x 2)) (.f64 s (.f64 s (.f64 x (.f64 x (.f64 c c))))))
(/.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 x x) (.f64 (.f64 s c) (.f64 s c))))
(/.f64 (cos.f64 (.f64 x 2)) (.f64 s (.f64 s (.f64 x (.f64 x (.f64 c c))))))
(.f64 (pow.f64 c 2) (.f64 (pow.f64 s 2) (pow.f64 x 2)))
(.f64 (.f64 c c) (.f64 (.f64 s s) (*.f64 x x)))
(.f64 (.f64 x x) (.f64 (.f64 s c) (*.f64 s c)))
(.f64 s (.f64 s (.f64 x (.f64 x (*.f64 c c)))))
(.f64 (pow.f64 c 2) (.f64 (pow.f64 s 2) (pow.f64 x 2)))
(.f64 (.f64 c c) (.f64 (.f64 s s) (*.f64 x x)))
(.f64 (.f64 x x) (.f64 (.f64 s c) (*.f64 s c)))
(.f64 s (.f64 s (.f64 x (.f64 x (*.f64 c c)))))
(.f64 (pow.f64 c 2) (.f64 (pow.f64 s 2) (pow.f64 x 2)))
(.f64 (.f64 c c) (.f64 (.f64 s s) (*.f64 x x)))
(.f64 (.f64 x x) (.f64 (.f64 s c) (*.f64 s c)))
(.f64 s (.f64 s (.f64 x (.f64 x (*.f64 c c)))))
(.f64 (pow.f64 c 2) (.f64 (pow.f64 s 2) (pow.f64 x 2)))
(.f64 (.f64 c c) (.f64 (.f64 s s) (*.f64 x x)))
(.f64 (.f64 x x) (.f64 (.f64 s c) (*.f64 s c)))
(.f64 s (.f64 s (.f64 x (.f64 x (*.f64 c c)))))
(.f64 (pow.f64 c 2) (.f64 (pow.f64 s 2) (pow.f64 x 2)))
(.f64 (.f64 c c) (.f64 (.f64 s s) (*.f64 x x)))
(.f64 (.f64 x x) (.f64 (.f64 s c) (*.f64 s c)))
(.f64 s (.f64 s (.f64 x (.f64 x (*.f64 c c)))))
(.f64 (pow.f64 c 2) (.f64 (pow.f64 s 2) (pow.f64 x 2)))
(.f64 (.f64 c c) (.f64 (.f64 s s) (*.f64 x x)))
(.f64 (.f64 x x) (.f64 (.f64 s c) (*.f64 s c)))
(.f64 s (.f64 s (.f64 x (.f64 x (*.f64 c c)))))
(.f64 (pow.f64 c 2) (.f64 (pow.f64 s 2) (pow.f64 x 2)))
(.f64 (.f64 c c) (.f64 (.f64 s s) (*.f64 x x)))
(.f64 (.f64 x x) (.f64 (.f64 s c) (*.f64 s c)))
(.f64 s (.f64 s (.f64 x (.f64 x (*.f64 c c)))))
(.f64 (pow.f64 c 2) (.f64 (pow.f64 s 2) (pow.f64 x 2)))
(.f64 (.f64 c c) (.f64 (.f64 s s) (*.f64 x x)))
(.f64 (.f64 x x) (.f64 (.f64 s c) (*.f64 s c)))
(.f64 s (.f64 s (.f64 x (.f64 x (*.f64 c c)))))
(.f64 (pow.f64 c 2) (.f64 (pow.f64 s 2) (pow.f64 x 2)))
(.f64 (.f64 c c) (.f64 (.f64 s s) (*.f64 x x)))
(.f64 (.f64 x x) (.f64 (.f64 s c) (*.f64 s c)))
(.f64 s (.f64 s (.f64 x (.f64 x (*.f64 c c)))))
(.f64 (pow.f64 c 2) (.f64 (pow.f64 s 2) (pow.f64 x 2)))
(.f64 (.f64 c c) (.f64 (.f64 s s) (*.f64 x x)))
(.f64 (.f64 x x) (.f64 (.f64 s c) (*.f64 s c)))
(.f64 s (.f64 s (.f64 x (.f64 x (*.f64 c c)))))
(.f64 (pow.f64 c 2) (.f64 (pow.f64 s 2) (pow.f64 x 2)))
(.f64 (.f64 c c) (.f64 (.f64 s s) (*.f64 x x)))
(.f64 (.f64 x x) (.f64 (.f64 s c) (*.f64 s c)))
(.f64 s (.f64 s (.f64 x (.f64 x (*.f64 c c)))))
(.f64 (pow.f64 c 2) (.f64 (pow.f64 s 2) (pow.f64 x 2)))
(.f64 (.f64 c c) (.f64 (.f64 s s) (*.f64 x x)))
(.f64 (.f64 x x) (.f64 (.f64 s c) (*.f64 s c)))
(.f64 s (.f64 s (.f64 x (.f64 x (*.f64 c c)))))
(.f64 (pow.f64 s 2) (.f64 (pow.f64 c 2) (pow.f64 x 2)))
(.f64 (.f64 c c) (.f64 (.f64 s s) (*.f64 x x)))
(.f64 (.f64 x x) (.f64 (.f64 s c) (*.f64 s c)))
(.f64 s (.f64 s (.f64 x (.f64 x (*.f64 c c)))))
(.f64 (pow.f64 s 2) (.f64 (pow.f64 c 2) (pow.f64 x 2)))
(.f64 (.f64 c c) (.f64 (.f64 s s) (*.f64 x x)))
(.f64 (.f64 x x) (.f64 (.f64 s c) (*.f64 s c)))
(.f64 s (.f64 s (.f64 x (.f64 x (*.f64 c c)))))
(.f64 (pow.f64 s 2) (.f64 (pow.f64 c 2) (pow.f64 x 2)))
(.f64 (.f64 c c) (.f64 (.f64 s s) (*.f64 x x)))
(.f64 (.f64 x x) (.f64 (.f64 s c) (*.f64 s c)))
(.f64 s (.f64 s (.f64 x (.f64 x (*.f64 c c)))))
(.f64 (pow.f64 s 2) (.f64 (pow.f64 c 2) (pow.f64 x 2)))
(.f64 (.f64 c c) (.f64 (.f64 s s) (*.f64 x x)))
(.f64 (.f64 x x) (.f64 (.f64 s c) (*.f64 s c)))
(.f64 s (.f64 s (.f64 x (.f64 x (*.f64 c c)))))
(.f64 (pow.f64 s 2) (.f64 (pow.f64 c 2) (pow.f64 x 2)))
(.f64 (.f64 c c) (.f64 (.f64 s s) (*.f64 x x)))
(.f64 (.f64 x x) (.f64 (.f64 s c) (*.f64 s c)))
(.f64 s (.f64 s (.f64 x (.f64 x (*.f64 c c)))))
(.f64 (pow.f64 s 2) (.f64 (pow.f64 c 2) (pow.f64 x 2)))
(.f64 (.f64 c c) (.f64 (.f64 s s) (*.f64 x x)))
(.f64 (.f64 x x) (.f64 (.f64 s c) (*.f64 s c)))
(.f64 s (.f64 s (.f64 x (.f64 x (*.f64 c c)))))
(.f64 (pow.f64 s 2) (.f64 (pow.f64 c 2) (pow.f64 x 2)))
(.f64 (.f64 c c) (.f64 (.f64 s s) (*.f64 x x)))
(.f64 (.f64 x x) (.f64 (.f64 s c) (*.f64 s c)))
(.f64 s (.f64 s (.f64 x (.f64 x (*.f64 c c)))))
(.f64 (pow.f64 s 2) (.f64 (pow.f64 c 2) (pow.f64 x 2)))
(.f64 (.f64 c c) (.f64 (.f64 s s) (*.f64 x x)))
(.f64 (.f64 x x) (.f64 (.f64 s c) (*.f64 s c)))
(.f64 s (.f64 s (.f64 x (.f64 x (*.f64 c c)))))
(.f64 (pow.f64 s 2) (.f64 (pow.f64 c 2) (pow.f64 x 2)))
(.f64 (.f64 c c) (.f64 (.f64 s s) (*.f64 x x)))
(.f64 (.f64 x x) (.f64 (.f64 s c) (*.f64 s c)))
(.f64 s (.f64 s (.f64 x (.f64 x (*.f64 c c)))))
(.f64 (pow.f64 s 2) (.f64 (pow.f64 c 2) (pow.f64 x 2)))
(.f64 (.f64 c c) (.f64 (.f64 s s) (*.f64 x x)))
(.f64 (.f64 x x) (.f64 (.f64 s c) (*.f64 s c)))
(.f64 s (.f64 s (.f64 x (.f64 x (*.f64 c c)))))
(.f64 (pow.f64 s 2) (.f64 (pow.f64 c 2) (pow.f64 x 2)))
(.f64 (.f64 c c) (.f64 (.f64 s s) (*.f64 x x)))
(.f64 (.f64 x x) (.f64 (.f64 s c) (*.f64 s c)))
(.f64 s (.f64 s (.f64 x (.f64 x (*.f64 c c)))))
(.f64 (pow.f64 s 2) (.f64 (pow.f64 c 2) (pow.f64 x 2)))
(.f64 (.f64 c c) (.f64 (.f64 s s) (*.f64 x x)))
(.f64 (.f64 x x) (.f64 (.f64 s c) (*.f64 s c)))
(.f64 s (.f64 s (.f64 x (.f64 x (*.f64 c c)))))
(.f64 (pow.f64 c 2) (.f64 (pow.f64 s 2) (pow.f64 x 2)))
(.f64 (.f64 c c) (.f64 (.f64 s s) (*.f64 x x)))
(.f64 (.f64 x x) (.f64 (.f64 s c) (*.f64 s c)))
(.f64 s (.f64 s (.f64 x (.f64 x (*.f64 c c)))))
(.f64 (pow.f64 c 2) (.f64 (pow.f64 s 2) (pow.f64 x 2)))
(.f64 (.f64 c c) (.f64 (.f64 s s) (*.f64 x x)))
(.f64 (.f64 x x) (.f64 (.f64 s c) (*.f64 s c)))
(.f64 s (.f64 s (.f64 x (.f64 x (*.f64 c c)))))
(.f64 (pow.f64 c 2) (.f64 (pow.f64 s 2) (pow.f64 x 2)))
(.f64 (.f64 c c) (.f64 (.f64 s s) (*.f64 x x)))
(.f64 (.f64 x x) (.f64 (.f64 s c) (*.f64 s c)))
(.f64 s (.f64 s (.f64 x (.f64 x (*.f64 c c)))))
(.f64 (pow.f64 c 2) (.f64 (pow.f64 s 2) (pow.f64 x 2)))
(.f64 (.f64 c c) (.f64 (.f64 s s) (*.f64 x x)))
(.f64 (.f64 x x) (.f64 (.f64 s c) (*.f64 s c)))
(.f64 s (.f64 s (.f64 x (.f64 x (*.f64 c c)))))
(.f64 (pow.f64 c 2) (.f64 (pow.f64 s 2) (pow.f64 x 2)))
(.f64 (.f64 c c) (.f64 (.f64 s s) (*.f64 x x)))
(.f64 (.f64 x x) (.f64 (.f64 s c) (*.f64 s c)))
(.f64 s (.f64 s (.f64 x (.f64 x (*.f64 c c)))))
(.f64 (pow.f64 c 2) (.f64 (pow.f64 s 2) (pow.f64 x 2)))
(.f64 (.f64 c c) (.f64 (.f64 s s) (*.f64 x x)))
(.f64 (.f64 x x) (.f64 (.f64 s c) (*.f64 s c)))
(.f64 s (.f64 s (.f64 x (.f64 x (*.f64 c c)))))
(.f64 (pow.f64 c 2) (.f64 (pow.f64 s 2) (pow.f64 x 2)))
(.f64 (.f64 c c) (.f64 (.f64 s s) (*.f64 x x)))
(.f64 (.f64 x x) (.f64 (.f64 s c) (*.f64 s c)))
(.f64 s (.f64 s (.f64 x (.f64 x (*.f64 c c)))))
(.f64 (pow.f64 c 2) (.f64 (pow.f64 s 2) (pow.f64 x 2)))
(.f64 (.f64 c c) (.f64 (.f64 s s) (*.f64 x x)))
(.f64 (.f64 x x) (.f64 (.f64 s c) (*.f64 s c)))
(.f64 s (.f64 s (.f64 x (.f64 x (*.f64 c c)))))
(.f64 (pow.f64 c 2) (.f64 (pow.f64 s 2) (pow.f64 x 2)))
(.f64 (.f64 c c) (.f64 (.f64 s s) (*.f64 x x)))
(.f64 (.f64 x x) (.f64 (.f64 s c) (*.f64 s c)))
(.f64 s (.f64 s (.f64 x (.f64 x (*.f64 c c)))))
(.f64 (pow.f64 c 2) (.f64 (pow.f64 s 2) (pow.f64 x 2)))
(.f64 (.f64 c c) (.f64 (.f64 s s) (*.f64 x x)))
(.f64 (.f64 x x) (.f64 (.f64 s c) (*.f64 s c)))
(.f64 s (.f64 s (.f64 x (.f64 x (*.f64 c c)))))
(.f64 (pow.f64 c 2) (.f64 (pow.f64 s 2) (pow.f64 x 2)))
(.f64 (.f64 c c) (.f64 (.f64 s s) (*.f64 x x)))
(.f64 (.f64 x x) (.f64 (.f64 s c) (*.f64 s c)))
(.f64 s (.f64 s (.f64 x (.f64 x (*.f64 c c)))))
(.f64 (pow.f64 c 2) (.f64 (pow.f64 s 2) (pow.f64 x 2)))
(.f64 (.f64 c c) (.f64 (.f64 s s) (*.f64 x x)))
(.f64 (.f64 x x) (.f64 (.f64 s c) (*.f64 s c)))
(.f64 s (.f64 s (.f64 x (.f64 x (*.f64 c c)))))
1
(+.f64 (*.f64 -2 (pow.f64 x 2)) 1)
(fma.f64 -2 (*.f64 x x) 1)
(fma.f64 (*.f64 x x) -2 1)
(fma.f64 x (*.f64 x -2) 1)
(+.f64 (.f64 2/3 (pow.f64 x 4)) (+.f64 (.f64 -2 (pow.f64 x 2)) 1))
(fma.f64 2/3 (pow.f64 x 4) (fma.f64 -2 (*.f64 x x) 1))
(fma.f64 2/3 (pow.f64 x 4) (fma.f64 (*.f64 x x) -2 1))
(fma.f64 x (*.f64 x -2) (fma.f64 2/3 (pow.f64 x 4) 1))
(fma.f64 2/3 (pow.f64 x 4) (fma.f64 x (*.f64 x -2) 1))
(+.f64 (.f64 2/3 (pow.f64 x 4)) (+.f64 (.f64 -2 (pow.f64 x 2)) (+.f64 1 (*.f64 -4/45 (pow.f64 x 6)))))
(fma.f64 2/3 (pow.f64 x 4) (+.f64 (fma.f64 -2 (.f64 x x) 1) (.f64 -4/45 (pow.f64 x 6))))
(fma.f64 2/3 (pow.f64 x 4) (fma.f64 (*.f64 x x) -2 (fma.f64 -4/45 (pow.f64 x 6) 1)))
(fma.f64 x (*.f64 x -2) (fma.f64 2/3 (pow.f64 x 4) (fma.f64 -4/45 (pow.f64 x 6) 1)))

prune514.0ms (7.5%)

Pruning

12 alts after pruning (12 fresh and 0 done)

	Pruned	Kept	Total
New	177	12	189
Fresh	1	0	1
Picked	1	0	1
Done	0	0	0
Total	179	12	191

Error

0.0b

Counts

191 → 12

Alt Table

Status	Error	Program
	3.7b	(.f64 (/.f64 (cbrt.f64 (pow.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))))
▶	2.0b	(/.f64 (cbrt.f64 (pow.f64 (cos.f64 (+.f64 x x)) 3)) (.f64 (.f64 x (.f64 c s)) (.f64 x (*.f64 c s))))
	2.0b	(/.f64 (-.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (sin.f64 x) 2)) (.f64 (.f64 x (.f64 c s)) (.f64 x (*.f64 c s))))
	9.2b	(.f64 (/.f64 1 (.f64 x (.f64 c (.f64 s x)))) (/.f64 (cos.f64 (+.f64 x x)) (*.f64 c s)))
	5.0b	(/.f64 (cos.f64 (.f64 2 x)) (expm1.f64 (log1p.f64 (pow.f64 (.f64 c (*.f64 s x)) 2))))
	3.8b	(pow.f64 (/.f64 (pow.f64 (.f64 c (.f64 s x)) 2) (cos.f64 (+.f64 x x))) -1)
	13.8b	(.f64 (/.f64 1 x) (/.f64 (cos.f64 (+.f64 x x)) (.f64 (pow.f64 (*.f64 c s) 2) x)))
	3.6b	(.f64 (cos.f64 (+.f64 x x)) (pow.f64 (.f64 c (*.f64 s x)) -2))
	4.2b	(/.f64 (cos.f64 (.f64 2 x)) (.f64 (.f64 s (.f64 c x)) (.f64 x (.f64 c s))))
	21.6b	(.f64 (pow.f64 x -2) (/.f64 (cos.f64 (+.f64 x x)) (pow.f64 (.f64 c s) 2)))
	30.7b	(/.f64 (/.f64 1 s) (.f64 s (.f64 x (.f64 x (.f64 c c)))))
	4.0b	(pow.f64 (cbrt.f64 (.f64 (cos.f64 (+.f64 x x)) (pow.f64 (.f64 c (*.f64 s x)) -2))) 3)

Compiler

Compiled 4613 to 1886 computations (59.1% saved)

localize10.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.3b	(/.f64 (cbrt.f64 (pow.f64 (cos.f64 (+.f64 x x)) 3)) (.f64 (.f64 x (.f64 c s)) (.f64 x (*.f64 c s))))
✓	0.4b	(cbrt.f64 (pow.f64 (cos.f64 (+.f64 x x)) 3))
✓	0.5b	(pow.f64 (cos.f64 (+.f64 x x)) 3)
	3.2b	(.f64 x (.f64 c s))

series9.0ms (0.1%)

Counts

3 → 60

Calls

15 calls:

Time	Variable		Point	Expression
3.0ms	x	@	inf	(pow.f64 (cos.f64 (+.f64 x x)) 3)
1.0ms	x	@	-inf	(/.f64 (cbrt.f64 (pow.f64 (cos.f64 (+.f64 x x)) 3)) (.f64 (.f64 x (.f64 c s)) (.f64 x (*.f64 c s))))
1.0ms	x	@	-inf	(pow.f64 (cos.f64 (+.f64 x x)) 3)
1.0ms	x	@	inf	(/.f64 (cbrt.f64 (pow.f64 (cos.f64 (+.f64 x x)) 3)) (.f64 (.f64 x (.f64 c s)) (.f64 x (*.f64 c s))))
1.0ms	x	@	0	(pow.f64 (cos.f64 (+.f64 x x)) 3)

rewrite68.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

728×	`log-prod_binary64`
549×	`prod-diff_binary64`
231×	`pow1/3_binary64`
224×	`expm1-udef_binary64`
224×	`log1p-udef_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	33
1	291	33
2	3823	33

Stop Event

1×	node limit

Counts

3 → 129

Calls

Call 1

Inputs
(pow.f64 (cos.f64 (+.f64 x x)) 3)
(cbrt.f64 (pow.f64 (cos.f64 (+.f64 x x)) 3))
(/.f64 (cbrt.f64 (pow.f64 (cos.f64 (+.f64 x x)) 3)) (.f64 (.f64 x (.f64 c s)) (.f64 x (*.f64 c s))))

Outputs
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Outputs

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simplify71.0ms (1%)

Algorithm

1×	egg-herbie

Rules

914×	`fma-def_binary64`
900×	`associate-/l*_binary64`
439×	`associate-/l/_binary64`
412×	`associate-*l/_binary64`
367×	`unswap-sqr_binary64`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	65	1170
1	186	1160
2	499	1158
3	2256	1153
4	7752	1151

Stop Event

1×	node limit

Counts

189 → 160

Calls

Call 1

Inputs
1
(+.f64 1 (*.f64 -6 (pow.f64 x 2)))
(+.f64 (.f64 14 (pow.f64 x 4)) (+.f64 1 (.f64 -6 (pow.f64 x 2))))
(+.f64 (.f64 14 (pow.f64 x 4)) (+.f64 1 (+.f64 (.f64 -244/15 (pow.f64 x 6)) (*.f64 -6 (pow.f64 x 2)))))
(pow.f64 (cos.f64 (*.f64 2 x)) 3)
(pow.f64 (cos.f64 (*.f64 2 x)) 3)
(pow.f64 (cos.f64 (*.f64 2 x)) 3)
(pow.f64 (cos.f64 (*.f64 2 x)) 3)
(pow.f64 (cos.f64 (neg.f64 (*.f64 -2 x))) 3)
(pow.f64 (cos.f64 (neg.f64 (*.f64 -2 x))) 3)
(pow.f64 (cos.f64 (neg.f64 (*.f64 -2 x))) 3)
(pow.f64 (cos.f64 (neg.f64 (*.f64 -2 x))) 3)
1
(+.f64 (*.f64 -2 (pow.f64 x 2)) 1)
(+.f64 (.f64 2/3 (pow.f64 x 4)) (+.f64 (.f64 -2 (pow.f64 x 2)) 1))
(+.f64 (.f64 2/3 (pow.f64 x 4)) (+.f64 (.f64 -2 (pow.f64 x 2)) (+.f64 1 (*.f64 -4/45 (pow.f64 x 6)))))
(cos.f64 (*.f64 2 x))
(cos.f64 (*.f64 2 x))
(cos.f64 (*.f64 2 x))
(cos.f64 (*.f64 2 x))
(cos.f64 (neg.f64 (*.f64 -2 x)))
(cos.f64 (neg.f64 (*.f64 -2 x)))
(cos.f64 (neg.f64 (*.f64 -2 x)))
(cos.f64 (neg.f64 (*.f64 -2 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
1
(+.f64 1 (*.f64 -6 (pow.f64 x 2)))
(+.f64 1 (.f64 -6 (.f64 x x)))
(fma.f64 -6 (*.f64 x x) 1)
(+.f64 (.f64 14 (pow.f64 x 4)) (+.f64 1 (.f64 -6 (pow.f64 x 2))))
(fma.f64 14 (pow.f64 x 4) (+.f64 1 (.f64 -6 (.f64 x x))))
(fma.f64 14 (pow.f64 x 4) (fma.f64 -6 (*.f64 x x) 1))
(fma.f64 -6 (*.f64 x x) (fma.f64 14 (pow.f64 x 4) 1))
(fma.f64 (.f64 x x) (fma.f64 (.f64 x x) 14 -6) 1)
(+.f64 (.f64 14 (pow.f64 x 4)) (+.f64 1 (+.f64 (.f64 -244/15 (pow.f64 x 6)) (*.f64 -6 (pow.f64 x 2)))))
(fma.f64 14 (pow.f64 x 4) (+.f64 1 (fma.f64 -244/15 (pow.f64 x 6) (.f64 -6 (.f64 x x)))))
(+.f64 (fma.f64 -244/15 (pow.f64 x 6) (.f64 -6 (.f64 x x))) (fma.f64 14 (pow.f64 x 4) 1))
(fma.f64 14 (pow.f64 x 4) (fma.f64 -6 (*.f64 x x) (fma.f64 -244/15 (pow.f64 x 6) 1)))
(fma.f64 -244/15 (pow.f64 x 6) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) 14 -6) 1))
(pow.f64 (cos.f64 (*.f64 2 x)) 3)
(pow.f64 (cos.f64 (*.f64 x 2)) 3)
(pow.f64 (cos.f64 (*.f64 x -2)) 3)
(pow.f64 (cos.f64 (*.f64 2 x)) 3)
(pow.f64 (cos.f64 (*.f64 x 2)) 3)
(pow.f64 (cos.f64 (*.f64 x -2)) 3)
(pow.f64 (cos.f64 (*.f64 2 x)) 3)
(pow.f64 (cos.f64 (*.f64 x 2)) 3)
(pow.f64 (cos.f64 (*.f64 x -2)) 3)
(pow.f64 (cos.f64 (*.f64 2 x)) 3)
(pow.f64 (cos.f64 (*.f64 x 2)) 3)
(pow.f64 (cos.f64 (*.f64 x -2)) 3)
(pow.f64 (cos.f64 (neg.f64 (*.f64 -2 x))) 3)
(pow.f64 (cos.f64 (*.f64 x 2)) 3)
(pow.f64 (cos.f64 (*.f64 x -2)) 3)
(pow.f64 (cos.f64 (neg.f64 (*.f64 -2 x))) 3)
(pow.f64 (cos.f64 (*.f64 x 2)) 3)
(pow.f64 (cos.f64 (*.f64 x -2)) 3)
(pow.f64 (cos.f64 (neg.f64 (*.f64 -2 x))) 3)
(pow.f64 (cos.f64 (*.f64 x 2)) 3)
(pow.f64 (cos.f64 (*.f64 x -2)) 3)
(pow.f64 (cos.f64 (neg.f64 (*.f64 -2 x))) 3)
(pow.f64 (cos.f64 (*.f64 x 2)) 3)
(pow.f64 (cos.f64 (*.f64 x -2)) 3)
1
(+.f64 (*.f64 -2 (pow.f64 x 2)) 1)
(fma.f64 -2 (*.f64 x x) 1)
(fma.f64 (*.f64 x x) -2 1)
(fma.f64 x (*.f64 x -2) 1)
(+.f64 (.f64 2/3 (pow.f64 x 4)) (+.f64 (.f64 -2 (pow.f64 x 2)) 1))
(fma.f64 2/3 (pow.f64 x 4) (fma.f64 -2 (*.f64 x x) 1))
(fma.f64 (pow.f64 x 4) 2/3 (fma.f64 (*.f64 x x) -2 1))
(fma.f64 (pow.f64 x 4) 2/3 (fma.f64 x (*.f64 x -2) 1))
(fma.f64 (.f64 x x) (fma.f64 x (.f64 x 2/3) -2) 1)
(+.f64 (.f64 2/3 (pow.f64 x 4)) (+.f64 (.f64 -2 (pow.f64 x 2)) (+.f64 1 (*.f64 -4/45 (pow.f64 x 6)))))
(fma.f64 2/3 (pow.f64 x 4) (+.f64 (fma.f64 -2 (.f64 x x) 1) (.f64 (pow.f64 x 6) -4/45)))
(fma.f64 (pow.f64 x 4) 2/3 (fma.f64 (*.f64 x x) -2 (fma.f64 (pow.f64 x 6) -4/45 1)))
(fma.f64 (pow.f64 x 4) 2/3 (fma.f64 (pow.f64 x 6) -4/45 (fma.f64 x (*.f64 x -2) 1)))
(fma.f64 x (*.f64 x -2) (fma.f64 (pow.f64 x 4) 2/3 (fma.f64 (pow.f64 x 6) -4/45 1)))
(cos.f64 (*.f64 2 x))
(cos.f64 (*.f64 x 2))
(cos.f64 (*.f64 x -2))
(cos.f64 (*.f64 2 x))
(cos.f64 (*.f64 x 2))
(cos.f64 (*.f64 x -2))
(cos.f64 (*.f64 2 x))
(cos.f64 (*.f64 x 2))
(cos.f64 (*.f64 x -2))
(cos.f64 (*.f64 2 x))
(cos.f64 (*.f64 x 2))
(cos.f64 (*.f64 x -2))
(cos.f64 (neg.f64 (*.f64 -2 x)))
(cos.f64 (*.f64 x 2))
(cos.f64 (*.f64 x -2))
(cos.f64 (neg.f64 (*.f64 -2 x)))
(cos.f64 (*.f64 x 2))
(cos.f64 (*.f64 x -2))
(cos.f64 (neg.f64 (*.f64 -2 x)))
(cos.f64 (*.f64 x 2))
(cos.f64 (*.f64 x -2))
(cos.f64 (neg.f64 (*.f64 -2 x)))
(cos.f64 (*.f64 x 2))
(cos.f64 (*.f64 x -2))
(/.f64 1 (.f64 (pow.f64 c 2) (.f64 (pow.f64 s 2) (pow.f64 x 2))))
(/.f64 1 (.f64 (.f64 c c) (.f64 (.f64 x x) (*.f64 s s))))
(/.f64 1 (.f64 (.f64 x x) (.f64 (.f64 c c) (*.f64 s s))))
(/.f64 1 (.f64 x (.f64 s (.f64 (.f64 (*.f64 c c) s) x))))
(/.f64 (/.f64 (/.f64 1 c) c) (.f64 (.f64 x x) (*.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 x x) (.f64 s s)))) (/.f64 2 (.f64 (.f64 c c) (.f64 s s))))
(+.f64 (/.f64 1 (.f64 (.f64 x x) (.f64 (.f64 c c) (.f64 s s)))) (/.f64 -2 (.f64 (.f64 c c) (.f64 s s))))
(+.f64 (/.f64 1 (.f64 x (.f64 s (.f64 (.f64 (.f64 c c) s) x)))) (/.f64 -2 (.f64 c (.f64 c (.f64 s s)))))
(+.f64 (/.f64 (/.f64 (/.f64 1 c) c) (.f64 (.f64 x x) (.f64 s s))) (/.f64 (/.f64 -2 (.f64 c 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 x x) (.f64 s s)))) (-.f64 (.f64 2/3 (/.f64 (.f64 x x) (.f64 (.f64 c c) (.f64 s s)))) (/.f64 2 (.f64 (.f64 c c) (*.f64 s s)))))
(+.f64 (/.f64 1 (.f64 (.f64 x x) (.f64 (.f64 c c) (.f64 s s)))) (fma.f64 2/3 (/.f64 (.f64 (/.f64 x s) (/.f64 x s)) (.f64 c c)) (/.f64 -2 (.f64 (.f64 c c) (.f64 s s)))))
(+.f64 (fma.f64 2/3 (.f64 (/.f64 x s) (/.f64 x (.f64 (.f64 c c) s))) (/.f64 1 (.f64 x (.f64 s (.f64 (.f64 (.f64 c c) s) x))))) (/.f64 -2 (.f64 c (.f64 c (*.f64 s s)))))
(+.f64 (fma.f64 2/3 (/.f64 x (.f64 (.f64 c c) (/.f64 (.f64 s s) x))) (/.f64 (/.f64 (/.f64 1 c) c) (.f64 (.f64 x x) (.f64 s s)))) (/.f64 (/.f64 -2 (.f64 c 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 x x) (.f64 s s)))) (.f64 2/3 (/.f64 (.f64 x x) (.f64 (.f64 c c) (.f64 s s)))))) (/.f64 2 (.f64 (.f64 c c) (.f64 s s))))
(+.f64 (fma.f64 -4/45 (/.f64 (pow.f64 x 4) (.f64 (.f64 c c) (.f64 s s))) (fma.f64 2/3 (/.f64 (.f64 (/.f64 x s) (/.f64 x s)) (.f64 c c)) (/.f64 1 (.f64 (.f64 x x) (.f64 (.f64 c c) (.f64 s s)))))) (/.f64 -2 (.f64 (.f64 c c) (*.f64 s s))))
(+.f64 (fma.f64 2/3 (.f64 (/.f64 x s) (/.f64 x (.f64 (.f64 c c) s))) (/.f64 1 (.f64 x (.f64 s (.f64 (.f64 (.f64 c c) s) x))))) (fma.f64 -4/45 (/.f64 (pow.f64 x 4) (.f64 c (.f64 c (.f64 s s)))) (/.f64 -2 (.f64 c (.f64 c (.f64 s s))))))
(+.f64 (+.f64 (/.f64 (/.f64 (/.f64 1 c) c) (.f64 (.f64 x x) (.f64 s s))) (.f64 (.f64 (/.f64 x (.f64 c s)) (/.f64 x s)) (+.f64 (/.f64 2/3 c) (/.f64 (.f64 x x) (/.f64 c -4/45))))) (/.f64 (/.f64 -2 (.f64 c c)) (*.f64 s s)))
(fma.f64 (.f64 (/.f64 x (.f64 c s)) (/.f64 x s)) (+.f64 (/.f64 2/3 c) (/.f64 (.f64 x x) (/.f64 c -4/45))) (+.f64 (/.f64 (/.f64 (/.f64 1 c) c) (.f64 (.f64 x x) (.f64 s s))) (/.f64 (/.f64 -2 (.f64 c 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 (cos.f64 (.f64 x 2)) (.f64 (.f64 c c) (.f64 (.f64 x x) (.f64 s s))))
(/.f64 (cos.f64 (.f64 x 2)) (.f64 (.f64 x x) (.f64 (.f64 c c) (.f64 s s))))
(/.f64 (cos.f64 (.f64 x -2)) (.f64 x (.f64 s (.f64 (.f64 (.f64 c c) s) x))))
(/.f64 (cos.f64 (.f64 x 2)) (.f64 x (.f64 (.f64 x c) (.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 (cos.f64 (.f64 x 2)) (.f64 (.f64 c c) (.f64 (.f64 x x) (.f64 s s))))
(/.f64 (cos.f64 (.f64 x 2)) (.f64 (.f64 x x) (.f64 (.f64 c c) (.f64 s s))))
(/.f64 (cos.f64 (.f64 x -2)) (.f64 x (.f64 s (.f64 (.f64 (.f64 c c) s) x))))
(/.f64 (cos.f64 (.f64 x 2)) (.f64 x (.f64 (.f64 x c) (.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 (cos.f64 (.f64 x 2)) (.f64 (.f64 c c) (.f64 (.f64 x x) (.f64 s s))))
(/.f64 (cos.f64 (.f64 x 2)) (.f64 (.f64 x x) (.f64 (.f64 c c) (.f64 s s))))
(/.f64 (cos.f64 (.f64 x -2)) (.f64 x (.f64 s (.f64 (.f64 (.f64 c c) s) x))))
(/.f64 (cos.f64 (.f64 x 2)) (.f64 x (.f64 (.f64 x c) (.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 (cos.f64 (.f64 x 2)) (.f64 (.f64 c c) (.f64 (.f64 x x) (.f64 s s))))
(/.f64 (cos.f64 (.f64 x 2)) (.f64 (.f64 x x) (.f64 (.f64 c c) (.f64 s s))))
(/.f64 (cos.f64 (.f64 x -2)) (.f64 x (.f64 s (.f64 (.f64 (.f64 c c) s) x))))
(/.f64 (cos.f64 (.f64 x 2)) (.f64 x (.f64 (.f64 x c) (.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 (cos.f64 (.f64 x 2)) (.f64 (.f64 c c) (.f64 (.f64 x x) (.f64 s s))))
(/.f64 (cos.f64 (.f64 x 2)) (.f64 (.f64 x x) (.f64 (.f64 c c) (.f64 s s))))
(/.f64 (cos.f64 (.f64 x -2)) (.f64 x (.f64 s (.f64 (.f64 (.f64 c c) s) x))))
(/.f64 (cos.f64 (.f64 x 2)) (.f64 x (.f64 (.f64 x c) (.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 (cos.f64 (.f64 x 2)) (.f64 (.f64 c c) (.f64 (.f64 x x) (.f64 s s))))
(/.f64 (cos.f64 (.f64 x 2)) (.f64 (.f64 x x) (.f64 (.f64 c c) (.f64 s s))))
(/.f64 (cos.f64 (.f64 x -2)) (.f64 x (.f64 s (.f64 (.f64 (.f64 c c) s) x))))
(/.f64 (cos.f64 (.f64 x 2)) (.f64 x (.f64 (.f64 x c) (.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 (cos.f64 (.f64 x 2)) (.f64 (.f64 c c) (.f64 (.f64 x x) (.f64 s s))))
(/.f64 (cos.f64 (.f64 x 2)) (.f64 (.f64 x x) (.f64 (.f64 c c) (.f64 s s))))
(/.f64 (cos.f64 (.f64 x -2)) (.f64 x (.f64 s (.f64 (.f64 (.f64 c c) s) x))))
(/.f64 (cos.f64 (.f64 x 2)) (.f64 x (.f64 (.f64 x c) (.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 (cos.f64 (.f64 x 2)) (.f64 (.f64 c c) (.f64 (.f64 x x) (.f64 s s))))
(/.f64 (cos.f64 (.f64 x 2)) (.f64 (.f64 x x) (.f64 (.f64 c c) (.f64 s s))))
(/.f64 (cos.f64 (.f64 x -2)) (.f64 x (.f64 s (.f64 (.f64 (.f64 c c) s) x))))
(/.f64 (cos.f64 (.f64 x 2)) (.f64 x (.f64 (.f64 x c) (.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 (cos.f64 (.f64 x 2)) (.f64 (.f64 c c) (.f64 (.f64 x x) (.f64 s s))))
(/.f64 (cos.f64 (.f64 x 2)) (.f64 (.f64 x x) (.f64 (.f64 c c) (.f64 s s))))
(/.f64 (cos.f64 (.f64 x -2)) (.f64 x (.f64 s (.f64 (.f64 (.f64 c c) s) x))))
(/.f64 (cos.f64 (.f64 x 2)) (.f64 x (.f64 (.f64 x c) (.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 (cos.f64 (.f64 x 2)) (.f64 (.f64 c c) (.f64 (.f64 x x) (.f64 s s))))
(/.f64 (cos.f64 (.f64 x 2)) (.f64 (.f64 x x) (.f64 (.f64 c c) (.f64 s s))))
(/.f64 (cos.f64 (.f64 x -2)) (.f64 x (.f64 s (.f64 (.f64 (.f64 c c) s) x))))
(/.f64 (cos.f64 (.f64 x 2)) (.f64 x (.f64 (.f64 x c) (.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 (cos.f64 (.f64 x 2)) (.f64 (.f64 c c) (.f64 (.f64 x x) (.f64 s s))))
(/.f64 (cos.f64 (.f64 x 2)) (.f64 (.f64 x x) (.f64 (.f64 c c) (.f64 s s))))
(/.f64 (cos.f64 (.f64 x -2)) (.f64 x (.f64 s (.f64 (.f64 (.f64 c c) s) x))))
(/.f64 (cos.f64 (.f64 x 2)) (.f64 x (.f64 (.f64 x c) (.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 (cos.f64 (.f64 x 2)) (.f64 (.f64 c c) (.f64 (.f64 x x) (.f64 s s))))
(/.f64 (cos.f64 (.f64 x 2)) (.f64 (.f64 x x) (.f64 (.f64 c c) (.f64 s s))))
(/.f64 (cos.f64 (.f64 x -2)) (.f64 x (.f64 s (.f64 (.f64 (.f64 c c) s) x))))
(/.f64 (cos.f64 (.f64 x 2)) (.f64 x (.f64 (.f64 x c) (.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 (cos.f64 (.f64 x 2)) (.f64 (.f64 c c) (.f64 (.f64 x x) (.f64 s s))))
(/.f64 (cos.f64 (.f64 x 2)) (.f64 (.f64 x x) (.f64 (.f64 c c) (.f64 s s))))
(/.f64 (cos.f64 (.f64 x -2)) (.f64 x (.f64 s (.f64 (.f64 (.f64 c c) s) x))))
(/.f64 (cos.f64 (.f64 x 2)) (.f64 x (.f64 (.f64 x c) (.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 (cos.f64 (.f64 x 2)) (.f64 (.f64 c c) (.f64 (.f64 x x) (.f64 s s))))
(/.f64 (cos.f64 (.f64 x 2)) (.f64 (.f64 x x) (.f64 (.f64 c c) (.f64 s s))))
(/.f64 (cos.f64 (.f64 x -2)) (.f64 x (.f64 s (.f64 (.f64 (.f64 c c) s) x))))
(/.f64 (cos.f64 (.f64 x 2)) (.f64 x (.f64 (.f64 x c) (.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 (cos.f64 (.f64 x 2)) (.f64 (.f64 c c) (.f64 (.f64 x x) (.f64 s s))))
(/.f64 (cos.f64 (.f64 x 2)) (.f64 (.f64 x x) (.f64 (.f64 c c) (.f64 s s))))
(/.f64 (cos.f64 (.f64 x -2)) (.f64 x (.f64 s (.f64 (.f64 (.f64 c c) s) x))))
(/.f64 (cos.f64 (.f64 x 2)) (.f64 x (.f64 (.f64 x c) (.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 (cos.f64 (.f64 x 2)) (.f64 (.f64 c c) (.f64 (.f64 x x) (.f64 s s))))
(/.f64 (cos.f64 (.f64 x 2)) (.f64 (.f64 x x) (.f64 (.f64 c c) (.f64 s s))))
(/.f64 (cos.f64 (.f64 x -2)) (.f64 x (.f64 s (.f64 (.f64 (.f64 c c) s) x))))
(/.f64 (cos.f64 (.f64 x 2)) (.f64 x (.f64 (.f64 x c) (.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 (cos.f64 (.f64 x 2)) (.f64 (.f64 c c) (.f64 (.f64 x x) (.f64 s s))))
(/.f64 (cos.f64 (.f64 x 2)) (.f64 (.f64 x x) (.f64 (.f64 c c) (.f64 s s))))
(/.f64 (cos.f64 (.f64 x -2)) (.f64 x (.f64 s (.f64 (.f64 (.f64 c c) s) x))))
(/.f64 (cos.f64 (.f64 x 2)) (.f64 x (.f64 (.f64 x c) (.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 (cos.f64 (.f64 x 2)) (.f64 (.f64 c c) (.f64 (.f64 x x) (.f64 s s))))
(/.f64 (cos.f64 (.f64 x 2)) (.f64 (.f64 x x) (.f64 (.f64 c c) (.f64 s s))))
(/.f64 (cos.f64 (.f64 x -2)) (.f64 x (.f64 s (.f64 (.f64 (.f64 c c) s) x))))
(/.f64 (cos.f64 (.f64 x 2)) (.f64 x (.f64 (.f64 x c) (.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 (cos.f64 (.f64 x 2)) (.f64 (.f64 c c) (.f64 (.f64 x x) (.f64 s s))))
(/.f64 (cos.f64 (.f64 x 2)) (.f64 (.f64 x x) (.f64 (.f64 c c) (.f64 s s))))
(/.f64 (cos.f64 (.f64 x -2)) (.f64 x (.f64 s (.f64 (.f64 (.f64 c c) s) x))))
(/.f64 (cos.f64 (.f64 x 2)) (.f64 x (.f64 (.f64 x c) (.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 (cos.f64 (.f64 x 2)) (.f64 (.f64 c c) (.f64 (.f64 x x) (.f64 s s))))
(/.f64 (cos.f64 (.f64 x 2)) (.f64 (.f64 x x) (.f64 (.f64 c c) (.f64 s s))))
(/.f64 (cos.f64 (.f64 x -2)) (.f64 x (.f64 s (.f64 (.f64 (.f64 c c) s) x))))
(/.f64 (cos.f64 (.f64 x 2)) (.f64 x (.f64 (.f64 x c) (.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 (cos.f64 (.f64 x 2)) (.f64 (.f64 c c) (.f64 (.f64 x x) (.f64 s s))))
(/.f64 (cos.f64 (.f64 x 2)) (.f64 (.f64 x x) (.f64 (.f64 c c) (.f64 s s))))
(/.f64 (cos.f64 (.f64 x -2)) (.f64 x (.f64 s (.f64 (.f64 (.f64 c c) s) x))))
(/.f64 (cos.f64 (.f64 x 2)) (.f64 x (.f64 (.f64 x c) (.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 (cos.f64 (.f64 x 2)) (.f64 (.f64 c c) (.f64 (.f64 x x) (.f64 s s))))
(/.f64 (cos.f64 (.f64 x 2)) (.f64 (.f64 x x) (.f64 (.f64 c c) (.f64 s s))))
(/.f64 (cos.f64 (.f64 x -2)) (.f64 x (.f64 s (.f64 (.f64 (.f64 c c) s) x))))
(/.f64 (cos.f64 (.f64 x 2)) (.f64 x (.f64 (.f64 x c) (.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 (cos.f64 (.f64 x 2)) (.f64 (.f64 c c) (.f64 (.f64 x x) (.f64 s s))))
(/.f64 (cos.f64 (.f64 x 2)) (.f64 (.f64 x x) (.f64 (.f64 c c) (.f64 s s))))
(/.f64 (cos.f64 (.f64 x -2)) (.f64 x (.f64 s (.f64 (.f64 (.f64 c c) s) x))))
(/.f64 (cos.f64 (.f64 x 2)) (.f64 x (.f64 (.f64 x c) (.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 (cos.f64 (.f64 x 2)) (.f64 (.f64 c c) (.f64 (.f64 x x) (.f64 s s))))
(/.f64 (cos.f64 (.f64 x 2)) (.f64 (.f64 x x) (.f64 (.f64 c c) (.f64 s s))))
(/.f64 (cos.f64 (.f64 x -2)) (.f64 x (.f64 s (.f64 (.f64 (.f64 c c) s) x))))
(/.f64 (cos.f64 (.f64 x 2)) (.f64 x (.f64 (.f64 x c) (.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 (cos.f64 (.f64 x 2)) (.f64 (.f64 c c) (.f64 (.f64 x x) (.f64 s s))))
(/.f64 (cos.f64 (.f64 x 2)) (.f64 (.f64 x x) (.f64 (.f64 c c) (.f64 s s))))
(/.f64 (cos.f64 (.f64 x -2)) (.f64 x (.f64 s (.f64 (.f64 (.f64 c c) s) x))))
(/.f64 (cos.f64 (.f64 x 2)) (.f64 x (.f64 (.f64 x c) (.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 (cos.f64 (.f64 x 2)) (.f64 (.f64 c c) (.f64 (.f64 x x) (.f64 s s))))
(/.f64 (cos.f64 (.f64 x 2)) (.f64 (.f64 x x) (.f64 (.f64 c c) (.f64 s s))))
(/.f64 (cos.f64 (.f64 x -2)) (.f64 x (.f64 s (.f64 (.f64 (.f64 c c) s) x))))
(/.f64 (cos.f64 (.f64 x 2)) (.f64 x (.f64 (.f64 x c) (.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 (cos.f64 (.f64 x 2)) (.f64 (.f64 c c) (.f64 (.f64 x x) (.f64 s s))))
(/.f64 (cos.f64 (.f64 x 2)) (.f64 (.f64 x x) (.f64 (.f64 c c) (.f64 s s))))
(/.f64 (cos.f64 (.f64 x -2)) (.f64 x (.f64 s (.f64 (.f64 (.f64 c c) s) x))))
(/.f64 (cos.f64 (.f64 x 2)) (.f64 x (.f64 (.f64 x c) (.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 (cos.f64 (.f64 x 2)) (.f64 (.f64 c c) (.f64 (.f64 x x) (.f64 s s))))
(/.f64 (cos.f64 (.f64 x 2)) (.f64 (.f64 x x) (.f64 (.f64 c c) (.f64 s s))))
(/.f64 (cos.f64 (.f64 x -2)) (.f64 x (.f64 s (.f64 (.f64 (.f64 c c) s) x))))
(/.f64 (cos.f64 (.f64 x 2)) (.f64 x (.f64 (.f64 x c) (.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 (cos.f64 (.f64 x 2)) (.f64 (.f64 c c) (.f64 (.f64 x x) (.f64 s s))))
(/.f64 (cos.f64 (.f64 x 2)) (.f64 (.f64 x x) (.f64 (.f64 c c) (.f64 s s))))
(/.f64 (cos.f64 (.f64 x -2)) (.f64 x (.f64 s (.f64 (.f64 (.f64 c c) s) x))))
(/.f64 (cos.f64 (.f64 x 2)) (.f64 x (.f64 (.f64 x c) (.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 (cos.f64 (.f64 x 2)) (.f64 (.f64 c c) (.f64 (.f64 x x) (.f64 s s))))
(/.f64 (cos.f64 (.f64 x 2)) (.f64 (.f64 x x) (.f64 (.f64 c c) (.f64 s s))))
(/.f64 (cos.f64 (.f64 x -2)) (.f64 x (.f64 s (.f64 (.f64 (.f64 c c) s) x))))
(/.f64 (cos.f64 (.f64 x 2)) (.f64 x (.f64 (.f64 x c) (.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 (cos.f64 (.f64 x 2)) (.f64 (.f64 c c) (.f64 (.f64 x x) (.f64 s s))))
(/.f64 (cos.f64 (.f64 x 2)) (.f64 (.f64 x x) (.f64 (.f64 c c) (.f64 s s))))
(/.f64 (cos.f64 (.f64 x -2)) (.f64 x (.f64 s (.f64 (.f64 (.f64 c c) s) x))))
(/.f64 (cos.f64 (.f64 x 2)) (.f64 x (.f64 (.f64 x c) (.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 (cos.f64 (.f64 x 2)) (.f64 (.f64 c c) (.f64 (.f64 x x) (.f64 s s))))
(/.f64 (cos.f64 (.f64 x 2)) (.f64 (.f64 x x) (.f64 (.f64 c c) (.f64 s s))))
(/.f64 (cos.f64 (.f64 x -2)) (.f64 x (.f64 s (.f64 (.f64 (.f64 c c) s) x))))
(/.f64 (cos.f64 (.f64 x 2)) (.f64 x (.f64 (.f64 x c) (.f64 c (.f64 s s)))))

prune672.0ms (9.8%)

Pruning

13 alts after pruning (13 fresh and 0 done)

	Pruned	Kept	Total
New	197	7	204
Fresh	5	6	11
Picked	1	0	1
Done	0	0	0
Total	203	13	216

Error

0.0b

Counts

216 → 13

Alt Table

Status	Error	Program
	7.1b	(.f64 (/.f64 1 (.f64 x (.f64 x (.f64 c s)))) (/.f64 (cos.f64 (+.f64 x x)) (*.f64 c s)))
	13.8b	(.f64 (/.f64 1 x) (/.f64 (cos.f64 (+.f64 x x)) (.f64 (pow.f64 (*.f64 c s) 2) x)))
	1.9b	(.f64 (/.f64 (cbrt.f64 (pow.f64 (cos.f64 (+.f64 x x)) 2)) (.f64 x (.f64 c s))) (/.f64 (cbrt.f64 (cos.f64 (+.f64 x x))) (.f64 x (*.f64 c s))))
▶	1.8b	(.f64 (pow.f64 (.f64 x (*.f64 c s)) -2) (cos.f64 (+.f64 x x)))
	9.2b	(.f64 (/.f64 1 (.f64 x (.f64 c (.f64 s x)))) (/.f64 (cos.f64 (+.f64 x x)) (*.f64 c s)))
	5.0b	(/.f64 (cos.f64 (.f64 2 x)) (expm1.f64 (log1p.f64 (pow.f64 (.f64 c (*.f64 s x)) 2))))
	3.8b	(pow.f64 (/.f64 (pow.f64 (.f64 c (.f64 s x)) 2) (cos.f64 (+.f64 x x))) -1)
	3.6b	(.f64 (cos.f64 (+.f64 x x)) (pow.f64 (.f64 c (*.f64 s x)) -2))
	4.2b	(/.f64 (cos.f64 (.f64 2 x)) (.f64 (.f64 s (.f64 c x)) (.f64 x (.f64 c s))))
	2.2b	(pow.f64 (cbrt.f64 (.f64 (cos.f64 (+.f64 x x)) (pow.f64 (.f64 x (*.f64 c s)) -2))) 3)
	2.0b	(-.f64 (/.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (.f64 x (.f64 c s)) 2)) (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (.f64 x (.f64 c s)) 2)))
	30.7b	(/.f64 (/.f64 1 s) (.f64 s (.f64 x (.f64 x (.f64 c c)))))
	21.9b	(.f64 (/.f64 1 (.f64 x x)) (/.f64 (cos.f64 (+.f64 x x)) (pow.f64 (*.f64 c s) 2)))

Compiler

Compiled 5510 to 2078 computations (62.3% saved)

localize8.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(cos.f64 (+.f64 x x))
✓	0.1b	(.f64 (pow.f64 (.f64 x (*.f64 c s)) -2) (cos.f64 (+.f64 x x)))
✓	0.3b	(pow.f64 (.f64 x (.f64 c s)) -2)
	3.2b	(.f64 x (.f64 c s))

series18.0ms (0.3%)

Counts

3 → 84

Calls

21 calls:

Time	Variable		Point	Expression
4.0ms	c	@	0	(pow.f64 (.f64 x (.f64 c s)) -2)
2.0ms	s	@	inf	(pow.f64 (.f64 x (.f64 c s)) -2)
1.0ms	x	@	0	(pow.f64 (.f64 x (.f64 c s)) -2)
1.0ms	s	@	-inf	(pow.f64 (.f64 x (.f64 c s)) -2)
1.0ms	x	@	-inf	(pow.f64 (.f64 x (.f64 c s)) -2)

rewrite61.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

595×	`log-prod_binary64`
505×	`prod-diff_binary64`
386×	`pow-prod-down_binary64`
308×	`pow2_binary64`
255×	`pow-unpow_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	34
1	241	34
2	3159	34

Stop Event

1×	node limit

Counts

3 → 94

Calls

Call 1

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

Outputs

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simplify67.0ms (1%)

Algorithm

1×	egg-herbie

Rules

899×	`associate-/l*_binary64`
784×	`fma-def_binary64`
437×	`associate-/l/_binary64`
415×	`associate-*l/_binary64`
382×	`fma-neg_binary64`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	52	1730
1	145	1726
2	411	1724
3	2019	1719
4	7170	1717

Stop Event

1×	node limit

Counts

178 → 117

Calls

Call 1

Inputs
(/.f64 1 (.f64 (pow.f64 s 2) (.f64 (pow.f64 c 2) (pow.f64 x 2))))
(/.f64 1 (.f64 (pow.f64 s 2) (.f64 (pow.f64 c 2) (pow.f64 x 2))))
(/.f64 1 (.f64 (pow.f64 s 2) (.f64 (pow.f64 c 2) (pow.f64 x 2))))
(/.f64 1 (.f64 (pow.f64 s 2) (.f64 (pow.f64 c 2) (pow.f64 x 2))))
(/.f64 1 (.f64 (pow.f64 s 2) (.f64 (pow.f64 c 2) (pow.f64 x 2))))
(/.f64 1 (.f64 (pow.f64 s 2) (.f64 (pow.f64 c 2) (pow.f64 x 2))))
(/.f64 1 (.f64 (pow.f64 s 2) (.f64 (pow.f64 c 2) (pow.f64 x 2))))
(/.f64 1 (.f64 (pow.f64 s 2) (.f64 (pow.f64 c 2) (pow.f64 x 2))))
(/.f64 1 (.f64 (pow.f64 c 2) (.f64 (pow.f64 s 2) (pow.f64 x 2))))
(/.f64 1 (.f64 (pow.f64 c 2) (.f64 (pow.f64 s 2) (pow.f64 x 2))))
(/.f64 1 (.f64 (pow.f64 c 2) (.f64 (pow.f64 s 2) (pow.f64 x 2))))
(/.f64 1 (.f64 (pow.f64 c 2) (.f64 (pow.f64 s 2) (pow.f64 x 2))))
(/.f64 1 (.f64 (pow.f64 c 2) (.f64 (pow.f64 s 2) (pow.f64 x 2))))
(/.f64 1 (.f64 (pow.f64 c 2) (.f64 (pow.f64 s 2) (pow.f64 x 2))))
(/.f64 1 (.f64 (pow.f64 c 2) (.f64 (pow.f64 s 2) (pow.f64 x 2))))
(/.f64 1 (.f64 (pow.f64 c 2) (.f64 (pow.f64 s 2) (pow.f64 x 2))))
(/.f64 1 (.f64 (pow.f64 c 2) (.f64 (pow.f64 s 2) (pow.f64 x 2))))
(/.f64 1 (.f64 (pow.f64 c 2) (.f64 (pow.f64 s 2) (pow.f64 x 2))))
(/.f64 1 (.f64 (pow.f64 c 2) (.f64 (pow.f64 s 2) (pow.f64 x 2))))
(/.f64 1 (.f64 (pow.f64 c 2) (.f64 (pow.f64 s 2) (pow.f64 x 2))))
(/.f64 1 (.f64 (pow.f64 c 2) (.f64 (pow.f64 s 2) (pow.f64 x 2))))
(/.f64 1 (.f64 (pow.f64 c 2) (.f64 (pow.f64 s 2) (pow.f64 x 2))))
(/.f64 1 (.f64 (pow.f64 c 2) (.f64 (pow.f64 s 2) (pow.f64 x 2))))
(/.f64 1 (.f64 (pow.f64 c 2) (.f64 (pow.f64 s 2) (pow.f64 x 2))))
(/.f64 1 (.f64 (pow.f64 s 2) (.f64 (pow.f64 c 2) (pow.f64 x 2))))
(/.f64 1 (.f64 (pow.f64 s 2) (.f64 (pow.f64 c 2) (pow.f64 x 2))))
(/.f64 1 (.f64 (pow.f64 s 2) (.f64 (pow.f64 c 2) (pow.f64 x 2))))
(/.f64 1 (.f64 (pow.f64 s 2) (.f64 (pow.f64 c 2) (pow.f64 x 2))))
(/.f64 1 (.f64 (pow.f64 s 2) (.f64 (pow.f64 c 2) (pow.f64 x 2))))
(/.f64 1 (.f64 (pow.f64 s 2) (.f64 (pow.f64 c 2) (pow.f64 x 2))))
(/.f64 1 (.f64 (pow.f64 s 2) (.f64 (pow.f64 c 2) (pow.f64 x 2))))
(/.f64 1 (.f64 (pow.f64 s 2) (.f64 (pow.f64 c 2) (pow.f64 x 2))))
(/.f64 1 (.f64 (pow.f64 s 2) (.f64 (pow.f64 c 2) (pow.f64 x 2))))
(/.f64 1 (.f64 (pow.f64 s 2) (.f64 (pow.f64 c 2) (pow.f64 x 2))))
(/.f64 1 (.f64 (pow.f64 s 2) (.f64 (pow.f64 c 2) (pow.f64 x 2))))
(/.f64 1 (.f64 (pow.f64 s 2) (.f64 (pow.f64 c 2) (pow.f64 x 2))))
(/.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))))
1
(+.f64 (*.f64 -2 (pow.f64 x 2)) 1)
(+.f64 (.f64 2/3 (pow.f64 x 4)) (+.f64 (.f64 -2 (pow.f64 x 2)) 1))
(+.f64 (.f64 2/3 (pow.f64 x 4)) (+.f64 (.f64 -2 (pow.f64 x 2)) (+.f64 1 (*.f64 -4/45 (pow.f64 x 6)))))
(cos.f64 (*.f64 2 x))
(cos.f64 (*.f64 2 x))
(cos.f64 (*.f64 2 x))
(cos.f64 (*.f64 2 x))
(cos.f64 (neg.f64 (*.f64 -2 x)))
(cos.f64 (neg.f64 (*.f64 -2 x)))
(cos.f64 (neg.f64 (*.f64 -2 x)))
(cos.f64 (neg.f64 (*.f64 -2 x)))

Outputs
(/.f64 1 (.f64 (pow.f64 s 2) (.f64 (pow.f64 c 2) (pow.f64 x 2))))
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(/.f64 1 (.f64 c (.f64 c (.f64 x (.f64 (*.f64 s s) x)))))
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(fma.f64 2/3 (pow.f64 x 4) (fma.f64 x (*.f64 x -2) 1))
(fma.f64 x (*.f64 x -2) (fma.f64 2/3 (pow.f64 x 4) 1))
(+.f64 (.f64 2/3 (pow.f64 x 4)) (+.f64 (.f64 -2 (pow.f64 x 2)) (+.f64 1 (*.f64 -4/45 (pow.f64 x 6)))))
(fma.f64 2/3 (pow.f64 x 4) (+.f64 (fma.f64 -2 (.f64 x x) 1) (.f64 -4/45 (pow.f64 x 6))))
(fma.f64 2/3 (pow.f64 x 4) (fma.f64 (*.f64 x x) -2 (fma.f64 -4/45 (pow.f64 x 6) 1)))
(fma.f64 x (*.f64 x -2) (fma.f64 2/3 (pow.f64 x 4) (fma.f64 -4/45 (pow.f64 x 6) 1)))
(fma.f64 x (*.f64 x -2) (fma.f64 -4/45 (pow.f64 x 6) (fma.f64 2/3 (pow.f64 x 4) 1)))
(cos.f64 (*.f64 2 x))
(cos.f64 (*.f64 x -2))
(cos.f64 (*.f64 2 x))
(cos.f64 (*.f64 x -2))
(cos.f64 (*.f64 2 x))
(cos.f64 (*.f64 x -2))
(cos.f64 (*.f64 2 x))
(cos.f64 (*.f64 x -2))
(cos.f64 (neg.f64 (*.f64 -2 x)))
(cos.f64 (*.f64 2 x))
(cos.f64 (*.f64 x -2))
(cos.f64 (neg.f64 (*.f64 -2 x)))
(cos.f64 (*.f64 2 x))
(cos.f64 (*.f64 x -2))
(cos.f64 (neg.f64 (*.f64 -2 x)))
(cos.f64 (*.f64 2 x))
(cos.f64 (*.f64 x -2))
(cos.f64 (neg.f64 (*.f64 -2 x)))
(cos.f64 (*.f64 2 x))
(cos.f64 (*.f64 x -2))

prune386.0ms (5.6%)

Pruning

13 alts after pruning (12 fresh and 1 done)

	Pruned	Kept	Total
New	137	2	139
Fresh	2	10	12
Picked	0	1	1
Done	0	0	0
Total	139	13	152

Error

0.0b

Counts

152 → 13

Alt Table

Status	Error	Program
	7.1b	(.f64 (/.f64 1 (.f64 x (.f64 x (.f64 c s)))) (/.f64 (cos.f64 (+.f64 x x)) (*.f64 c s)))
	13.8b	(.f64 (/.f64 1 x) (/.f64 (cos.f64 (+.f64 x x)) (.f64 (pow.f64 (*.f64 c s) 2) x)))
	2.9b	(.f64 (pow.f64 (.f64 s (*.f64 c x)) -2) (cos.f64 (+.f64 x x)))
	2.0b	(-.f64 (/.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (.f64 x (.f64 c s)) 2)) (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (.f64 x (.f64 c s)) 2)))
▶	1.9b	(.f64 (/.f64 (cbrt.f64 (pow.f64 (cos.f64 (+.f64 x x)) 2)) (.f64 x (.f64 c s))) (/.f64 (cbrt.f64 (cos.f64 (+.f64 x x))) (.f64 x (*.f64 c s))))
✓	1.8b	(.f64 (pow.f64 (.f64 x (*.f64 c s)) -2) (cos.f64 (+.f64 x x)))
	9.2b	(.f64 (/.f64 1 (.f64 x (.f64 c (.f64 s x)))) (/.f64 (cos.f64 (+.f64 x x)) (*.f64 c s)))
	5.0b	(/.f64 (cos.f64 (.f64 2 x)) (expm1.f64 (log1p.f64 (pow.f64 (.f64 c (*.f64 s x)) 2))))
	3.8b	(pow.f64 (/.f64 (pow.f64 (.f64 c (.f64 s x)) 2) (cos.f64 (+.f64 x x))) -1)
	4.0b	(pow.f64 (cbrt.f64 (.f64 (pow.f64 (.f64 c (*.f64 s x)) -2) (cos.f64 (+.f64 x x)))) 3)
	30.7b	(/.f64 (/.f64 1 s) (.f64 s (.f64 x (.f64 x (.f64 c c)))))
	4.2b	(/.f64 (cos.f64 (.f64 2 x)) (.f64 (.f64 s (.f64 c x)) (.f64 x (.f64 c s))))
	21.9b	(.f64 (/.f64 1 (.f64 x x)) (/.f64 (cos.f64 (+.f64 x x)) (pow.f64 (*.f64 c s) 2)))

Compiler

Compiled 3397 to 1639 computations (51.8% saved)

localize14.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.4b	(cbrt.f64 (cos.f64 (+.f64 x x)))
✓	0.4b	(/.f64 (cbrt.f64 (cos.f64 (+.f64 x x))) (.f64 x (.f64 c s)))
✓	0.5b	(/.f64 (cbrt.f64 (pow.f64 (cos.f64 (+.f64 x x)) 2)) (.f64 x (.f64 c s)))
	3.2b	(.f64 x (.f64 c s))

series31.0ms (0.4%)

Counts

3 → 84

Calls

21 calls:

Time	Variable		Point	Expression
4.0ms	s	@	0	(/.f64 (cbrt.f64 (cos.f64 (+.f64 x x))) (.f64 x (.f64 c s)))
4.0ms	x	@	-inf	(/.f64 (cbrt.f64 (pow.f64 (cos.f64 (+.f64 x x)) 2)) (.f64 x (.f64 c s)))
3.0ms	x	@	inf	(/.f64 (cbrt.f64 (pow.f64 (cos.f64 (+.f64 x x)) 2)) (.f64 x (.f64 c s)))
3.0ms	c	@	0	(/.f64 (cbrt.f64 (pow.f64 (cos.f64 (+.f64 x x)) 2)) (.f64 x (.f64 c s)))
2.0ms	s	@	0	(/.f64 (cbrt.f64 (pow.f64 (cos.f64 (+.f64 x x)) 2)) (.f64 x (.f64 c s)))

rewrite74.0ms (1.1%)

Algorithm

1×	batch-egg-rewrite

Rules

786×	`log-prod_binary64`
577×	`prod-diff_binary64`
251×	`expm1-udef_binary64`
251×	`log1p-udef_binary64`
215×	`log-pow_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	45
1	304	45
2	4215	45

Stop Event

1×	node limit

Counts

3 → 119

Calls

Call 1

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

Outputs

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((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 (cbrt.f64 (cos.f64 (+.f64 x x))) (*.f64 x (*.f64 c s))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (/.f64 (cbrt.f64 (cos.f64 (+.f64 x x))) (*.f64 x (*.f64 c s))))) (cbrt.f64 (exp.f64 (/.f64 (cbrt.f64 (cos.f64 (+.f64 x x))) (*.f64 x (*.f64 c s))))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (cbrt.f64 (cos.f64 (+.f64 x x))) (*.f64 x (*.f64 c s)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (cbrt.f64 (cos.f64 (+.f64 x x))) (*.f64 x (*.f64 c s)))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (cbrt.f64 (cos.f64 (+.f64 x x))) (*.f64 x (*.f64 c s)))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (cbrt.f64 (cos.f64 (+.f64 x x))) (*.f64 x (*.f64 c s))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cos.f64 (+.f64 x x))) (/.f64 (/.f64 1 x) (*.f64 c s)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 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simplify109.0ms (1.6%)

Algorithm

1×	egg-herbie

Rules

826×	`fma-def_binary64`
531×	`associate-/r*_binary64`
478×	`associate-*l/_binary64`
376×	`associate-*r/_binary64`
292×	`unswap-sqr_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	76	1718
1	221	1516
2	621	1514
3	2114	1512
4	5613	1512
5	6326	1512
6	6577	1512
7	7419	1512

Stop Event

1×	node limit

Counts

203 → 151

Calls

Call 1

Inputs
(/.f64 1 (.f64 c (.f64 s x)))
(+.f64 (.f64 -4/3 (/.f64 x (.f64 c s))) (/.f64 1 (.f64 s (.f64 c x))))
(+.f64 (.f64 -4/3 (/.f64 x (.f64 c s))) (+.f64 (/.f64 1 (.f64 s (.f64 c x))) (.f64 -64/405 (/.f64 (pow.f64 x 5) (.f64 c s)))))
(+.f64 (.f64 -256/1701 (/.f64 (pow.f64 x 7) (.f64 c s))) (+.f64 (.f64 -4/3 (/.f64 x (.f64 c s))) (+.f64 (/.f64 1 (.f64 s (.f64 c x))) (.f64 -64/405 (/.f64 (pow.f64 x 5) (.f64 c s))))))
(.f64 (pow.f64 (pow.f64 (cos.f64 (.f64 2 x)) 2) 1/3) (/.f64 1 (.f64 s (.f64 c x))))
(.f64 (pow.f64 (pow.f64 (cos.f64 (.f64 2 x)) 2) 1/3) (/.f64 1 (.f64 s (.f64 c x))))
(.f64 (pow.f64 (pow.f64 (cos.f64 (.f64 2 x)) 2) 1/3) (/.f64 1 (.f64 s (.f64 c x))))
(.f64 (pow.f64 (pow.f64 (cos.f64 (.f64 2 x)) 2) 1/3) (/.f64 1 (.f64 s (.f64 c x))))
(.f64 (/.f64 1 (.f64 s (.f64 c x))) (pow.f64 (pow.f64 (cos.f64 (neg.f64 (.f64 -2 x))) 2) 1/3))
(.f64 (/.f64 1 (.f64 s (.f64 c x))) (pow.f64 (pow.f64 (cos.f64 (neg.f64 (.f64 -2 x))) 2) 1/3))
(.f64 (/.f64 1 (.f64 s (.f64 c x))) (pow.f64 (pow.f64 (cos.f64 (neg.f64 (.f64 -2 x))) 2) 1/3))
(.f64 (/.f64 1 (.f64 s (.f64 c x))) (pow.f64 (pow.f64 (cos.f64 (neg.f64 (.f64 -2 x))) 2) 1/3))
(.f64 (pow.f64 (pow.f64 (cos.f64 (.f64 2 x)) 2) 1/3) (/.f64 1 (.f64 s (.f64 c x))))
(.f64 (pow.f64 (pow.f64 (cos.f64 (.f64 2 x)) 2) 1/3) (/.f64 1 (.f64 s (.f64 c x))))
(.f64 (pow.f64 (pow.f64 (cos.f64 (.f64 2 x)) 2) 1/3) (/.f64 1 (.f64 s (.f64 c x))))
(.f64 (pow.f64 (pow.f64 (cos.f64 (.f64 2 x)) 2) 1/3) (/.f64 1 (.f64 s (.f64 c x))))
(.f64 (pow.f64 (pow.f64 (cos.f64 (.f64 2 x)) 2) 1/3) (/.f64 1 (.f64 s (.f64 c x))))
(.f64 (pow.f64 (pow.f64 (cos.f64 (.f64 2 x)) 2) 1/3) (/.f64 1 (.f64 s (.f64 c x))))
(.f64 (pow.f64 (pow.f64 (cos.f64 (.f64 2 x)) 2) 1/3) (/.f64 1 (.f64 s (.f64 c x))))
(.f64 (pow.f64 (pow.f64 (cos.f64 (.f64 2 x)) 2) 1/3) (/.f64 1 (.f64 s (.f64 c x))))
(.f64 (pow.f64 (pow.f64 (cos.f64 (.f64 2 x)) 2) 1/3) (/.f64 1 (.f64 s (.f64 c x))))
(.f64 (pow.f64 (pow.f64 (cos.f64 (.f64 2 x)) 2) 1/3) (/.f64 1 (.f64 s (.f64 c x))))
(.f64 (pow.f64 (pow.f64 (cos.f64 (.f64 2 x)) 2) 1/3) (/.f64 1 (.f64 s (.f64 c x))))
(.f64 (pow.f64 (pow.f64 (cos.f64 (.f64 2 x)) 2) 1/3) (/.f64 1 (.f64 s (.f64 c x))))
(.f64 (pow.f64 (pow.f64 (cos.f64 (.f64 2 x)) 2) 1/3) (/.f64 1 (.f64 c (.f64 s x))))
(.f64 (pow.f64 (pow.f64 (cos.f64 (.f64 2 x)) 2) 1/3) (/.f64 1 (.f64 c (.f64 s x))))
(.f64 (pow.f64 (pow.f64 (cos.f64 (.f64 2 x)) 2) 1/3) (/.f64 1 (.f64 c (.f64 s x))))
(.f64 (pow.f64 (pow.f64 (cos.f64 (.f64 2 x)) 2) 1/3) (/.f64 1 (.f64 c (.f64 s x))))
(.f64 (pow.f64 (pow.f64 (cos.f64 (.f64 2 x)) 2) 1/3) (/.f64 1 (.f64 c (.f64 s x))))
(.f64 (pow.f64 (pow.f64 (cos.f64 (.f64 2 x)) 2) 1/3) (/.f64 1 (.f64 c (.f64 s x))))
(.f64 (pow.f64 (pow.f64 (cos.f64 (.f64 2 x)) 2) 1/3) (/.f64 1 (.f64 c (.f64 s x))))
(.f64 (pow.f64 (pow.f64 (cos.f64 (.f64 2 x)) 2) 1/3) (/.f64 1 (.f64 c (.f64 s x))))
(.f64 (pow.f64 (pow.f64 (cos.f64 (.f64 2 x)) 2) 1/3) (/.f64 1 (.f64 c (.f64 s x))))
(.f64 (pow.f64 (pow.f64 (cos.f64 (.f64 2 x)) 2) 1/3) (/.f64 1 (.f64 c (.f64 s x))))
(.f64 (pow.f64 (pow.f64 (cos.f64 (.f64 2 x)) 2) 1/3) (/.f64 1 (.f64 c (.f64 s x))))
(.f64 (pow.f64 (pow.f64 (cos.f64 (.f64 2 x)) 2) 1/3) (/.f64 1 (.f64 c (.f64 s x))))
(/.f64 1 (.f64 c (.f64 s x)))
(+.f64 (.f64 -2/3 (/.f64 x (.f64 c s))) (/.f64 1 (.f64 s (.f64 c x))))
(+.f64 (.f64 -2/3 (/.f64 x (.f64 c s))) (+.f64 (/.f64 1 (.f64 s (.f64 c x))) (.f64 -2/9 (/.f64 (pow.f64 x 3) (.f64 c s)))))
(+.f64 (.f64 -92/405 (/.f64 (pow.f64 x 5) (.f64 c s))) (+.f64 (.f64 -2/3 (/.f64 x (.f64 c s))) (+.f64 (/.f64 1 (.f64 s (.f64 c x))) (.f64 -2/9 (/.f64 (pow.f64 x 3) (.f64 c s))))))
(.f64 (pow.f64 (cos.f64 (.f64 2 x)) 1/3) (/.f64 1 (.f64 s (.f64 c x))))
(.f64 (pow.f64 (cos.f64 (.f64 2 x)) 1/3) (/.f64 1 (.f64 s (.f64 c x))))
(.f64 (pow.f64 (cos.f64 (.f64 2 x)) 1/3) (/.f64 1 (.f64 s (.f64 c x))))
(.f64 (pow.f64 (cos.f64 (.f64 2 x)) 1/3) (/.f64 1 (.f64 s (.f64 c x))))
(.f64 (/.f64 1 (.f64 s (.f64 c x))) (pow.f64 (cos.f64 (neg.f64 (.f64 -2 x))) 1/3))
(.f64 (/.f64 1 (.f64 s (.f64 c x))) (pow.f64 (cos.f64 (neg.f64 (.f64 -2 x))) 1/3))
(.f64 (/.f64 1 (.f64 s (.f64 c x))) (pow.f64 (cos.f64 (neg.f64 (.f64 -2 x))) 1/3))
(.f64 (/.f64 1 (.f64 s (.f64 c x))) (pow.f64 (cos.f64 (neg.f64 (.f64 -2 x))) 1/3))
(.f64 (pow.f64 (cos.f64 (.f64 2 x)) 1/3) (/.f64 1 (.f64 s (.f64 c x))))
(.f64 (pow.f64 (cos.f64 (.f64 2 x)) 1/3) (/.f64 1 (.f64 s (.f64 c x))))
(.f64 (pow.f64 (cos.f64 (.f64 2 x)) 1/3) (/.f64 1 (.f64 s (.f64 c x))))
(.f64 (pow.f64 (cos.f64 (.f64 2 x)) 1/3) (/.f64 1 (.f64 s (.f64 c x))))
(.f64 (pow.f64 (cos.f64 (.f64 2 x)) 1/3) (/.f64 1 (.f64 s (.f64 c x))))
(.f64 (pow.f64 (cos.f64 (.f64 2 x)) 1/3) (/.f64 1 (.f64 s (.f64 c x))))
(.f64 (pow.f64 (cos.f64 (.f64 2 x)) 1/3) (/.f64 1 (.f64 s (.f64 c x))))
(.f64 (pow.f64 (cos.f64 (.f64 2 x)) 1/3) (/.f64 1 (.f64 s (.f64 c x))))
(.f64 (pow.f64 (cos.f64 (.f64 2 x)) 1/3) (/.f64 1 (.f64 s (.f64 c x))))
(.f64 (pow.f64 (cos.f64 (.f64 2 x)) 1/3) (/.f64 1 (.f64 s (.f64 c x))))
(.f64 (pow.f64 (cos.f64 (.f64 2 x)) 1/3) (/.f64 1 (.f64 s (.f64 c x))))
(.f64 (pow.f64 (cos.f64 (.f64 2 x)) 1/3) (/.f64 1 (.f64 s (.f64 c x))))
(.f64 (pow.f64 (cos.f64 (.f64 2 x)) 1/3) (/.f64 1 (.f64 c (.f64 s x))))
(.f64 (pow.f64 (cos.f64 (.f64 2 x)) 1/3) (/.f64 1 (.f64 c (.f64 s x))))
(.f64 (pow.f64 (cos.f64 (.f64 2 x)) 1/3) (/.f64 1 (.f64 c (.f64 s x))))
(.f64 (pow.f64 (cos.f64 (.f64 2 x)) 1/3) (/.f64 1 (.f64 c (.f64 s x))))
(.f64 (pow.f64 (cos.f64 (.f64 2 x)) 1/3) (/.f64 1 (.f64 c (.f64 s x))))
(.f64 (pow.f64 (cos.f64 (.f64 2 x)) 1/3) (/.f64 1 (.f64 c (.f64 s x))))
(.f64 (pow.f64 (cos.f64 (.f64 2 x)) 1/3) (/.f64 1 (.f64 c (.f64 s x))))
(.f64 (pow.f64 (cos.f64 (.f64 2 x)) 1/3) (/.f64 1 (.f64 c (.f64 s x))))
(.f64 (pow.f64 (cos.f64 (.f64 2 x)) 1/3) (/.f64 1 (.f64 c (.f64 s x))))
(.f64 (pow.f64 (cos.f64 (.f64 2 x)) 1/3) (/.f64 1 (.f64 c (.f64 s x))))
(.f64 (pow.f64 (cos.f64 (.f64 2 x)) 1/3) (/.f64 1 (.f64 c (.f64 s x))))
(.f64 (pow.f64 (cos.f64 (.f64 2 x)) 1/3) (/.f64 1 (.f64 c (.f64 s x))))
1
(+.f64 1 (*.f64 -2/3 (pow.f64 x 2)))
(+.f64 1 (+.f64 (.f64 -2/9 (pow.f64 x 4)) (.f64 -2/3 (pow.f64 x 2))))
(+.f64 1 (+.f64 (.f64 -2/9 (pow.f64 x 4)) (+.f64 (.f64 -2/3 (pow.f64 x 2)) (*.f64 -92/405 (pow.f64 x 6)))))
(pow.f64 (cos.f64 (*.f64 2 x)) 1/3)
(pow.f64 (cos.f64 (*.f64 2 x)) 1/3)
(pow.f64 (cos.f64 (*.f64 2 x)) 1/3)
(pow.f64 (cos.f64 (*.f64 2 x)) 1/3)
(pow.f64 (cos.f64 (neg.f64 (*.f64 -2 x))) 1/3)
(pow.f64 (cos.f64 (neg.f64 (*.f64 -2 x))) 1/3)
(pow.f64 (cos.f64 (neg.f64 (*.f64 -2 x))) 1/3)
(pow.f64 (cos.f64 (neg.f64 (*.f64 -2 x))) 1/3)

Outputs
(/.f64 1 (.f64 c (.f64 s x)))
(/.f64 (/.f64 1 s) (*.f64 c x))
(/.f64 (/.f64 (/.f64 1 s) x) c)
(/.f64 1 (.f64 s (.f64 c x)))
(+.f64 (.f64 -4/3 (/.f64 x (.f64 c s))) (/.f64 1 (.f64 s (.f64 c x))))
(fma.f64 -4/3 (/.f64 (/.f64 x c) s) (/.f64 (/.f64 1 s) (*.f64 c x)))
(fma.f64 -4/3 (/.f64 x (*.f64 c s)) (/.f64 (/.f64 (/.f64 1 s) x) c))
(fma.f64 -4/3 (/.f64 (/.f64 x c) s) (/.f64 1 (.f64 s (.f64 c x))))
(+.f64 (.f64 -4/3 (/.f64 x (.f64 c s))) (+.f64 (/.f64 1 (.f64 s (.f64 c x))) (.f64 -64/405 (/.f64 (pow.f64 x 5) (.f64 c s)))))
(+.f64 (fma.f64 -4/3 (/.f64 (/.f64 x c) s) (/.f64 (/.f64 1 s) (.f64 c x))) (.f64 -64/405 (/.f64 (pow.f64 x 5) (*.f64 c s))))
(fma.f64 -4/3 (/.f64 x (*.f64 c s)) (fma.f64 -64/405 (/.f64 (/.f64 (pow.f64 x 5) c) s) (/.f64 (/.f64 (/.f64 1 s) x) c)))
(fma.f64 -4/3 (/.f64 (/.f64 x c) s) (fma.f64 -64/405 (/.f64 (pow.f64 x 5) (.f64 c s)) (/.f64 (/.f64 1 s) (.f64 c x))))
(fma.f64 -4/3 (/.f64 (/.f64 x c) s) (fma.f64 -64/405 (/.f64 (/.f64 (pow.f64 x 5) c) s) (/.f64 1 (.f64 s (.f64 c x)))))
(fma.f64 -4/3 (/.f64 (/.f64 x c) s) (fma.f64 -64/405 (/.f64 (/.f64 (pow.f64 x 5) c) s) (/.f64 (/.f64 1 s) (*.f64 c x))))
(+.f64 (.f64 -256/1701 (/.f64 (pow.f64 x 7) (.f64 c s))) (+.f64 (.f64 -4/3 (/.f64 x (.f64 c s))) (+.f64 (/.f64 1 (.f64 s (.f64 c x))) (.f64 -64/405 (/.f64 (pow.f64 x 5) (.f64 c s))))))
(fma.f64 -256/1701 (/.f64 (pow.f64 x 7) (.f64 c s)) (+.f64 (fma.f64 -4/3 (/.f64 (/.f64 x c) s) (/.f64 (/.f64 1 s) (.f64 c x))) (.f64 -64/405 (/.f64 (pow.f64 x 5) (.f64 c s)))))
(fma.f64 -256/1701 (/.f64 (pow.f64 x 7) (.f64 c s)) (fma.f64 -4/3 (/.f64 x (.f64 c s)) (fma.f64 -64/405 (/.f64 (/.f64 (pow.f64 x 5) c) s) (/.f64 (/.f64 (/.f64 1 s) x) c))))
(fma.f64 -4/3 (/.f64 (/.f64 x c) s) (fma.f64 -256/1701 (/.f64 (/.f64 (pow.f64 x 7) c) s) (fma.f64 -64/405 (/.f64 (pow.f64 x 5) (.f64 c s)) (/.f64 (/.f64 1 s) (.f64 c x)))))
(fma.f64 -4/3 (/.f64 (/.f64 x c) s) (fma.f64 -256/1701 (/.f64 (/.f64 (pow.f64 x 7) c) s) (fma.f64 -64/405 (/.f64 (/.f64 (pow.f64 x 5) c) s) (/.f64 1 (.f64 s (.f64 c x))))))
(fma.f64 -4/3 (/.f64 (/.f64 x c) s) (fma.f64 (/.f64 (pow.f64 x 7) c) (/.f64 -256/1701 s) (fma.f64 -64/405 (/.f64 (/.f64 (pow.f64 x 5) c) s) (/.f64 (/.f64 1 s) (*.f64 c x)))))
(.f64 (pow.f64 (pow.f64 (cos.f64 (.f64 2 x)) 2) 1/3) (/.f64 1 (.f64 s (.f64 c x))))
(.f64 (/.f64 (/.f64 1 s) (.f64 c x)) (cbrt.f64 (pow.f64 (cos.f64 (*.f64 x 2)) 2)))
(/.f64 (cbrt.f64 (pow.f64 (cos.f64 (.f64 x 2)) 2)) (.f64 c (*.f64 s x)))
(/.f64 (cbrt.f64 (pow.f64 (cos.f64 (.f64 x -2)) 2)) (.f64 c (*.f64 s x)))
(/.f64 (cbrt.f64 (pow.f64 (cos.f64 (.f64 x 2)) 2)) (.f64 s (*.f64 c x)))
(.f64 (pow.f64 (pow.f64 (cos.f64 (.f64 2 x)) 2) 1/3) (/.f64 1 (.f64 s (.f64 c x))))
(.f64 (/.f64 (/.f64 1 s) (.f64 c x)) (cbrt.f64 (pow.f64 (cos.f64 (*.f64 x 2)) 2)))
(/.f64 (cbrt.f64 (pow.f64 (cos.f64 (.f64 x 2)) 2)) (.f64 c (*.f64 s x)))
(/.f64 (cbrt.f64 (pow.f64 (cos.f64 (.f64 x -2)) 2)) (.f64 c (*.f64 s x)))
(/.f64 (cbrt.f64 (pow.f64 (cos.f64 (.f64 x 2)) 2)) (.f64 s (*.f64 c x)))
(.f64 (pow.f64 (pow.f64 (cos.f64 (.f64 2 x)) 2) 1/3) (/.f64 1 (.f64 s (.f64 c x))))
(.f64 (/.f64 (/.f64 1 s) (.f64 c x)) (cbrt.f64 (pow.f64 (cos.f64 (*.f64 x 2)) 2)))
(/.f64 (cbrt.f64 (pow.f64 (cos.f64 (.f64 x 2)) 2)) (.f64 c (*.f64 s x)))
(/.f64 (cbrt.f64 (pow.f64 (cos.f64 (.f64 x -2)) 2)) (.f64 c (*.f64 s x)))
(/.f64 (cbrt.f64 (pow.f64 (cos.f64 (.f64 x 2)) 2)) (.f64 s (*.f64 c x)))
(.f64 (pow.f64 (pow.f64 (cos.f64 (.f64 2 x)) 2) 1/3) (/.f64 1 (.f64 s (.f64 c x))))
(.f64 (/.f64 (/.f64 1 s) (.f64 c x)) (cbrt.f64 (pow.f64 (cos.f64 (*.f64 x 2)) 2)))
(/.f64 (cbrt.f64 (pow.f64 (cos.f64 (.f64 x 2)) 2)) (.f64 c (*.f64 s x)))
(/.f64 (cbrt.f64 (pow.f64 (cos.f64 (.f64 x -2)) 2)) (.f64 c (*.f64 s x)))
(/.f64 (cbrt.f64 (pow.f64 (cos.f64 (.f64 x 2)) 2)) (.f64 s (*.f64 c x)))
(.f64 (/.f64 1 (.f64 s (.f64 c x))) (pow.f64 (pow.f64 (cos.f64 (neg.f64 (.f64 -2 x))) 2) 1/3))
(.f64 (/.f64 (/.f64 1 s) (.f64 c x)) (cbrt.f64 (pow.f64 (cos.f64 (*.f64 x 2)) 2)))
(/.f64 (cbrt.f64 (pow.f64 (cos.f64 (.f64 x 2)) 2)) (.f64 c (*.f64 s x)))
(/.f64 (cbrt.f64 (pow.f64 (cos.f64 (.f64 x -2)) 2)) (.f64 c (*.f64 s x)))
(/.f64 (cbrt.f64 (pow.f64 (cos.f64 (.f64 x 2)) 2)) (.f64 s (*.f64 c x)))
(.f64 (/.f64 1 (.f64 s (.f64 c x))) (pow.f64 (pow.f64 (cos.f64 (neg.f64 (.f64 -2 x))) 2) 1/3))
(.f64 (/.f64 (/.f64 1 s) (.f64 c x)) (cbrt.f64 (pow.f64 (cos.f64 (*.f64 x 2)) 2)))
(/.f64 (cbrt.f64 (pow.f64 (cos.f64 (.f64 x 2)) 2)) (.f64 c (*.f64 s x)))
(/.f64 (cbrt.f64 (pow.f64 (cos.f64 (.f64 x -2)) 2)) (.f64 c (*.f64 s x)))
(/.f64 (cbrt.f64 (pow.f64 (cos.f64 (.f64 x 2)) 2)) (.f64 s (*.f64 c x)))
(.f64 (/.f64 1 (.f64 s (.f64 c x))) (pow.f64 (pow.f64 (cos.f64 (neg.f64 (.f64 -2 x))) 2) 1/3))
(.f64 (/.f64 (/.f64 1 s) (.f64 c x)) (cbrt.f64 (pow.f64 (cos.f64 (*.f64 x 2)) 2)))
(/.f64 (cbrt.f64 (pow.f64 (cos.f64 (.f64 x 2)) 2)) (.f64 c (*.f64 s x)))
(/.f64 (cbrt.f64 (pow.f64 (cos.f64 (.f64 x -2)) 2)) (.f64 c (*.f64 s x)))
(/.f64 (cbrt.f64 (pow.f64 (cos.f64 (.f64 x 2)) 2)) (.f64 s (*.f64 c x)))
(.f64 (/.f64 1 (.f64 s (.f64 c x))) (pow.f64 (pow.f64 (cos.f64 (neg.f64 (.f64 -2 x))) 2) 1/3))
(.f64 (/.f64 (/.f64 1 s) (.f64 c x)) (cbrt.f64 (pow.f64 (cos.f64 (*.f64 x 2)) 2)))
(/.f64 (cbrt.f64 (pow.f64 (cos.f64 (.f64 x 2)) 2)) (.f64 c (*.f64 s x)))
(/.f64 (cbrt.f64 (pow.f64 (cos.f64 (.f64 x -2)) 2)) (.f64 c (*.f64 s x)))
(/.f64 (cbrt.f64 (pow.f64 (cos.f64 (.f64 x 2)) 2)) (.f64 s (*.f64 c x)))
(.f64 (pow.f64 (pow.f64 (cos.f64 (.f64 2 x)) 2) 1/3) (/.f64 1 (.f64 s (.f64 c x))))
(.f64 (/.f64 (/.f64 1 s) (.f64 c x)) (cbrt.f64 (pow.f64 (cos.f64 (*.f64 x 2)) 2)))
(/.f64 (cbrt.f64 (pow.f64 (cos.f64 (.f64 x 2)) 2)) (.f64 c (*.f64 s x)))
(/.f64 (cbrt.f64 (pow.f64 (cos.f64 (.f64 x -2)) 2)) (.f64 c (*.f64 s x)))
(/.f64 (cbrt.f64 (pow.f64 (cos.f64 (.f64 x 2)) 2)) (.f64 s (*.f64 c x)))
(.f64 (pow.f64 (pow.f64 (cos.f64 (.f64 2 x)) 2) 1/3) (/.f64 1 (.f64 s (.f64 c x))))
(.f64 (/.f64 (/.f64 1 s) (.f64 c x)) (cbrt.f64 (pow.f64 (cos.f64 (*.f64 x 2)) 2)))
(/.f64 (cbrt.f64 (pow.f64 (cos.f64 (.f64 x 2)) 2)) (.f64 c (*.f64 s x)))
(/.f64 (cbrt.f64 (pow.f64 (cos.f64 (.f64 x -2)) 2)) (.f64 c (*.f64 s x)))
(/.f64 (cbrt.f64 (pow.f64 (cos.f64 (.f64 x 2)) 2)) (.f64 s (*.f64 c x)))
(.f64 (pow.f64 (pow.f64 (cos.f64 (.f64 2 x)) 2) 1/3) (/.f64 1 (.f64 s (.f64 c x))))
(.f64 (/.f64 (/.f64 1 s) (.f64 c x)) (cbrt.f64 (pow.f64 (cos.f64 (*.f64 x 2)) 2)))
(/.f64 (cbrt.f64 (pow.f64 (cos.f64 (.f64 x 2)) 2)) (.f64 c (*.f64 s x)))
(/.f64 (cbrt.f64 (pow.f64 (cos.f64 (.f64 x -2)) 2)) (.f64 c (*.f64 s x)))
(/.f64 (cbrt.f64 (pow.f64 (cos.f64 (.f64 x 2)) 2)) (.f64 s (*.f64 c x)))
(.f64 (pow.f64 (pow.f64 (cos.f64 (.f64 2 x)) 2) 1/3) (/.f64 1 (.f64 s (.f64 c x))))
(.f64 (/.f64 (/.f64 1 s) (.f64 c x)) (cbrt.f64 (pow.f64 (cos.f64 (*.f64 x 2)) 2)))
(/.f64 (cbrt.f64 (pow.f64 (cos.f64 (.f64 x 2)) 2)) (.f64 c (*.f64 s x)))
(/.f64 (cbrt.f64 (pow.f64 (cos.f64 (.f64 x -2)) 2)) (.f64 c (*.f64 s x)))
(/.f64 (cbrt.f64 (pow.f64 (cos.f64 (.f64 x 2)) 2)) (.f64 s (*.f64 c x)))
(.f64 (pow.f64 (pow.f64 (cos.f64 (.f64 2 x)) 2) 1/3) (/.f64 1 (.f64 s (.f64 c x))))
(.f64 (/.f64 (/.f64 1 s) (.f64 c x)) (cbrt.f64 (pow.f64 (cos.f64 (*.f64 x 2)) 2)))
(/.f64 (cbrt.f64 (pow.f64 (cos.f64 (.f64 x 2)) 2)) (.f64 c (*.f64 s x)))
(/.f64 (cbrt.f64 (pow.f64 (cos.f64 (.f64 x -2)) 2)) (.f64 c (*.f64 s x)))
(/.f64 (cbrt.f64 (pow.f64 (cos.f64 (.f64 x 2)) 2)) (.f64 s (*.f64 c x)))
(.f64 (pow.f64 (pow.f64 (cos.f64 (.f64 2 x)) 2) 1/3) (/.f64 1 (.f64 s (.f64 c x))))
(.f64 (/.f64 (/.f64 1 s) (.f64 c x)) (cbrt.f64 (pow.f64 (cos.f64 (*.f64 x 2)) 2)))
(/.f64 (cbrt.f64 (pow.f64 (cos.f64 (.f64 x 2)) 2)) (.f64 c (*.f64 s x)))
(/.f64 (cbrt.f64 (pow.f64 (cos.f64 (.f64 x -2)) 2)) (.f64 c (*.f64 s x)))
(/.f64 (cbrt.f64 (pow.f64 (cos.f64 (.f64 x 2)) 2)) (.f64 s (*.f64 c x)))
(.f64 (pow.f64 (pow.f64 (cos.f64 (.f64 2 x)) 2) 1/3) (/.f64 1 (.f64 s (.f64 c x))))
(.f64 (/.f64 (/.f64 1 s) (.f64 c x)) (cbrt.f64 (pow.f64 (cos.f64 (*.f64 x 2)) 2)))
(/.f64 (cbrt.f64 (pow.f64 (cos.f64 (.f64 x 2)) 2)) (.f64 c (*.f64 s x)))
(/.f64 (cbrt.f64 (pow.f64 (cos.f64 (.f64 x -2)) 2)) (.f64 c (*.f64 s x)))
(/.f64 (cbrt.f64 (pow.f64 (cos.f64 (.f64 x 2)) 2)) (.f64 s (*.f64 c x)))
(.f64 (pow.f64 (pow.f64 (cos.f64 (.f64 2 x)) 2) 1/3) (/.f64 1 (.f64 s (.f64 c x))))
(.f64 (/.f64 (/.f64 1 s) (.f64 c x)) (cbrt.f64 (pow.f64 (cos.f64 (*.f64 x 2)) 2)))
(/.f64 (cbrt.f64 (pow.f64 (cos.f64 (.f64 x 2)) 2)) (.f64 c (*.f64 s x)))
(/.f64 (cbrt.f64 (pow.f64 (cos.f64 (.f64 x -2)) 2)) (.f64 c (*.f64 s x)))
(/.f64 (cbrt.f64 (pow.f64 (cos.f64 (.f64 x 2)) 2)) (.f64 s (*.f64 c x)))
(.f64 (pow.f64 (pow.f64 (cos.f64 (.f64 2 x)) 2) 1/3) (/.f64 1 (.f64 s (.f64 c x))))
(.f64 (/.f64 (/.f64 1 s) (.f64 c x)) (cbrt.f64 (pow.f64 (cos.f64 (*.f64 x 2)) 2)))
(/.f64 (cbrt.f64 (pow.f64 (cos.f64 (.f64 x 2)) 2)) (.f64 c (*.f64 s x)))
(/.f64 (cbrt.f64 (pow.f64 (cos.f64 (.f64 x -2)) 2)) (.f64 c (*.f64 s x)))
(/.f64 (cbrt.f64 (pow.f64 (cos.f64 (.f64 x 2)) 2)) (.f64 s (*.f64 c x)))
(.f64 (pow.f64 (pow.f64 (cos.f64 (.f64 2 x)) 2) 1/3) (/.f64 1 (.f64 s (.f64 c x))))
(.f64 (/.f64 (/.f64 1 s) (.f64 c x)) (cbrt.f64 (pow.f64 (cos.f64 (*.f64 x 2)) 2)))
(/.f64 (cbrt.f64 (pow.f64 (cos.f64 (.f64 x 2)) 2)) (.f64 c (*.f64 s x)))
(/.f64 (cbrt.f64 (pow.f64 (cos.f64 (.f64 x -2)) 2)) (.f64 c (*.f64 s x)))
(/.f64 (cbrt.f64 (pow.f64 (cos.f64 (.f64 x 2)) 2)) (.f64 s (*.f64 c x)))
(.f64 (pow.f64 (pow.f64 (cos.f64 (.f64 2 x)) 2) 1/3) (/.f64 1 (.f64 s (.f64 c x))))
(.f64 (/.f64 (/.f64 1 s) (.f64 c x)) (cbrt.f64 (pow.f64 (cos.f64 (*.f64 x 2)) 2)))
(/.f64 (cbrt.f64 (pow.f64 (cos.f64 (.f64 x 2)) 2)) (.f64 c (*.f64 s x)))
(/.f64 (cbrt.f64 (pow.f64 (cos.f64 (.f64 x -2)) 2)) (.f64 c (*.f64 s x)))
(/.f64 (cbrt.f64 (pow.f64 (cos.f64 (.f64 x 2)) 2)) (.f64 s (*.f64 c x)))
(.f64 (pow.f64 (pow.f64 (cos.f64 (.f64 2 x)) 2) 1/3) (/.f64 1 (.f64 s (.f64 c x))))
(.f64 (/.f64 (/.f64 1 s) (.f64 c x)) (cbrt.f64 (pow.f64 (cos.f64 (*.f64 x 2)) 2)))
(/.f64 (cbrt.f64 (pow.f64 (cos.f64 (.f64 x 2)) 2)) (.f64 c (*.f64 s x)))
(/.f64 (cbrt.f64 (pow.f64 (cos.f64 (.f64 x -2)) 2)) (.f64 c (*.f64 s x)))
(/.f64 (cbrt.f64 (pow.f64 (cos.f64 (.f64 x 2)) 2)) (.f64 s (*.f64 c x)))
(.f64 (pow.f64 (pow.f64 (cos.f64 (.f64 2 x)) 2) 1/3) (/.f64 1 (.f64 c (.f64 s x))))
(.f64 (/.f64 (/.f64 1 s) (.f64 c x)) (cbrt.f64 (pow.f64 (cos.f64 (*.f64 x 2)) 2)))
(/.f64 (cbrt.f64 (pow.f64 (cos.f64 (.f64 x 2)) 2)) (.f64 c (*.f64 s x)))
(/.f64 (cbrt.f64 (pow.f64 (cos.f64 (.f64 x -2)) 2)) (.f64 c (*.f64 s x)))
(/.f64 (cbrt.f64 (pow.f64 (cos.f64 (.f64 x 2)) 2)) (.f64 s (*.f64 c x)))
(.f64 (pow.f64 (pow.f64 (cos.f64 (.f64 2 x)) 2) 1/3) (/.f64 1 (.f64 c (.f64 s x))))
(.f64 (/.f64 (/.f64 1 s) (.f64 c x)) (cbrt.f64 (pow.f64 (cos.f64 (*.f64 x 2)) 2)))
(/.f64 (cbrt.f64 (pow.f64 (cos.f64 (.f64 x 2)) 2)) (.f64 c (*.f64 s x)))
(/.f64 (cbrt.f64 (pow.f64 (cos.f64 (.f64 x -2)) 2)) (.f64 c (*.f64 s x)))
(/.f64 (cbrt.f64 (pow.f64 (cos.f64 (.f64 x 2)) 2)) (.f64 s (*.f64 c x)))
(.f64 (pow.f64 (pow.f64 (cos.f64 (.f64 2 x)) 2) 1/3) (/.f64 1 (.f64 c (.f64 s x))))
(.f64 (/.f64 (/.f64 1 s) (.f64 c x)) (cbrt.f64 (pow.f64 (cos.f64 (*.f64 x 2)) 2)))
(/.f64 (cbrt.f64 (pow.f64 (cos.f64 (.f64 x 2)) 2)) (.f64 c (*.f64 s x)))
(/.f64 (cbrt.f64 (pow.f64 (cos.f64 (.f64 x -2)) 2)) (.f64 c (*.f64 s x)))
(/.f64 (cbrt.f64 (pow.f64 (cos.f64 (.f64 x 2)) 2)) (.f64 s (*.f64 c x)))
(.f64 (pow.f64 (pow.f64 (cos.f64 (.f64 2 x)) 2) 1/3) (/.f64 1 (.f64 c (.f64 s x))))
(.f64 (/.f64 (/.f64 1 s) (.f64 c x)) (cbrt.f64 (pow.f64 (cos.f64 (*.f64 x 2)) 2)))
(/.f64 (cbrt.f64 (pow.f64 (cos.f64 (.f64 x 2)) 2)) (.f64 c (*.f64 s x)))
(/.f64 (cbrt.f64 (pow.f64 (cos.f64 (.f64 x -2)) 2)) (.f64 c (*.f64 s x)))
(/.f64 (cbrt.f64 (pow.f64 (cos.f64 (.f64 x 2)) 2)) (.f64 s (*.f64 c x)))
(.f64 (pow.f64 (pow.f64 (cos.f64 (.f64 2 x)) 2) 1/3) (/.f64 1 (.f64 c (.f64 s x))))
(.f64 (/.f64 (/.f64 1 s) (.f64 c x)) (cbrt.f64 (pow.f64 (cos.f64 (*.f64 x 2)) 2)))
(/.f64 (cbrt.f64 (pow.f64 (cos.f64 (.f64 x 2)) 2)) (.f64 c (*.f64 s x)))
(/.f64 (cbrt.f64 (pow.f64 (cos.f64 (.f64 x -2)) 2)) (.f64 c (*.f64 s x)))
(/.f64 (cbrt.f64 (pow.f64 (cos.f64 (.f64 x 2)) 2)) (.f64 s (*.f64 c x)))
(.f64 (pow.f64 (pow.f64 (cos.f64 (.f64 2 x)) 2) 1/3) (/.f64 1 (.f64 c (.f64 s x))))
(.f64 (/.f64 (/.f64 1 s) (.f64 c x)) (cbrt.f64 (pow.f64 (cos.f64 (*.f64 x 2)) 2)))
(/.f64 (cbrt.f64 (pow.f64 (cos.f64 (.f64 x 2)) 2)) (.f64 c (*.f64 s x)))
(/.f64 (cbrt.f64 (pow.f64 (cos.f64 (.f64 x -2)) 2)) (.f64 c (*.f64 s x)))
(/.f64 (cbrt.f64 (pow.f64 (cos.f64 (.f64 x 2)) 2)) (.f64 s (*.f64 c x)))
(.f64 (pow.f64 (pow.f64 (cos.f64 (.f64 2 x)) 2) 1/3) (/.f64 1 (.f64 c (.f64 s x))))
(.f64 (/.f64 (/.f64 1 s) (.f64 c x)) (cbrt.f64 (pow.f64 (cos.f64 (*.f64 x 2)) 2)))
(/.f64 (cbrt.f64 (pow.f64 (cos.f64 (.f64 x 2)) 2)) (.f64 c (*.f64 s x)))
(/.f64 (cbrt.f64 (pow.f64 (cos.f64 (.f64 x -2)) 2)) (.f64 c (*.f64 s x)))
(/.f64 (cbrt.f64 (pow.f64 (cos.f64 (.f64 x 2)) 2)) (.f64 s (*.f64 c x)))
(.f64 (pow.f64 (pow.f64 (cos.f64 (.f64 2 x)) 2) 1/3) (/.f64 1 (.f64 c (.f64 s x))))
(.f64 (/.f64 (/.f64 1 s) (.f64 c x)) (cbrt.f64 (pow.f64 (cos.f64 (*.f64 x 2)) 2)))
(/.f64 (cbrt.f64 (pow.f64 (cos.f64 (.f64 x 2)) 2)) (.f64 c (*.f64 s x)))
(/.f64 (cbrt.f64 (pow.f64 (cos.f64 (.f64 x -2)) 2)) (.f64 c (*.f64 s x)))
(/.f64 (cbrt.f64 (pow.f64 (cos.f64 (.f64 x 2)) 2)) (.f64 s (*.f64 c x)))
(.f64 (pow.f64 (pow.f64 (cos.f64 (.f64 2 x)) 2) 1/3) (/.f64 1 (.f64 c (.f64 s x))))
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(/.f64 (cbrt.f64 (cos.f64 (.f64 x 2))) (.f64 c (*.f64 s x)))
(/.f64 (cbrt.f64 (cos.f64 (.f64 x -2))) (.f64 c (*.f64 s x)))
(/.f64 (cbrt.f64 (cos.f64 (.f64 x 2))) (.f64 s (*.f64 c x)))
1
(+.f64 1 (*.f64 -2/3 (pow.f64 x 2)))
(+.f64 1 (.f64 -2/3 (.f64 x x)))
(fma.f64 -2/3 (*.f64 x x) 1)
(fma.f64 x (*.f64 x -2/3) 1)
(+.f64 1 (+.f64 (.f64 -2/9 (pow.f64 x 4)) (.f64 -2/3 (pow.f64 x 2))))
(+.f64 1 (fma.f64 -2/9 (pow.f64 x 4) (.f64 -2/3 (.f64 x x))))
(+.f64 1 (fma.f64 -2/3 (.f64 x x) (.f64 -2/9 (pow.f64 x 4))))
(fma.f64 -2/9 (pow.f64 x 4) (fma.f64 x (*.f64 x -2/3) 1))
(fma.f64 (.f64 x x) (fma.f64 x (.f64 x -2/9) -2/3) 1)
(+.f64 1 (+.f64 (.f64 -2/9 (pow.f64 x 4)) (+.f64 (.f64 -2/3 (pow.f64 x 2)) (*.f64 -92/405 (pow.f64 x 6)))))
(+.f64 1 (fma.f64 -2/9 (pow.f64 x 4) (fma.f64 -2/3 (.f64 x x) (.f64 -92/405 (pow.f64 x 6)))))
(+.f64 (fma.f64 -2/9 (pow.f64 x 4) (.f64 x (.f64 x -2/3))) (fma.f64 -92/405 (pow.f64 x 6) 1))
(fma.f64 -92/405 (pow.f64 x 6) (fma.f64 -2/9 (pow.f64 x 4) (fma.f64 x (*.f64 x -2/3) 1)))
(fma.f64 -92/405 (pow.f64 x 6) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x -2/9) -2/3) 1))
(pow.f64 (cos.f64 (*.f64 2 x)) 1/3)
(cbrt.f64 (cos.f64 (*.f64 x 2)))
(cbrt.f64 (cos.f64 (*.f64 x -2)))
(pow.f64 (cos.f64 (*.f64 2 x)) 1/3)
(cbrt.f64 (cos.f64 (*.f64 x 2)))
(cbrt.f64 (cos.f64 (*.f64 x -2)))
(pow.f64 (cos.f64 (*.f64 2 x)) 1/3)
(cbrt.f64 (cos.f64 (*.f64 x 2)))
(cbrt.f64 (cos.f64 (*.f64 x -2)))
(pow.f64 (cos.f64 (*.f64 2 x)) 1/3)
(cbrt.f64 (cos.f64 (*.f64 x 2)))
(cbrt.f64 (cos.f64 (*.f64 x -2)))
(pow.f64 (cos.f64 (neg.f64 (*.f64 -2 x))) 1/3)
(cbrt.f64 (cos.f64 (*.f64 x 2)))
(cbrt.f64 (cos.f64 (*.f64 x -2)))
(pow.f64 (cos.f64 (neg.f64 (*.f64 -2 x))) 1/3)
(cbrt.f64 (cos.f64 (*.f64 x 2)))
(cbrt.f64 (cos.f64 (*.f64 x -2)))
(pow.f64 (cos.f64 (neg.f64 (*.f64 -2 x))) 1/3)
(cbrt.f64 (cos.f64 (*.f64 x 2)))
(cbrt.f64 (cos.f64 (*.f64 x -2)))
(pow.f64 (cos.f64 (neg.f64 (*.f64 -2 x))) 1/3)
(cbrt.f64 (cos.f64 (*.f64 x 2)))
(cbrt.f64 (cos.f64 (*.f64 x -2)))

prune576.0ms (8.4%)

Pruning

13 alts after pruning (12 fresh and 1 done)

	Pruned	Kept	Total
New	191	4	195
Fresh	3	8	11
Picked	1	0	1
Done	0	1	1
Total	195	13	208

Error

Counts

208 → 13

Alt Table

Status	Error	Program
✓	1.8b	(.f64 (pow.f64 (.f64 x (*.f64 c s)) -2) (cos.f64 (+.f64 x x)))
	9.2b	(.f64 (/.f64 1 (.f64 x (.f64 c (.f64 s x)))) (/.f64 (cos.f64 (+.f64 x x)) (*.f64 c s)))
	5.0b	(/.f64 (cos.f64 (.f64 2 x)) (expm1.f64 (log1p.f64 (pow.f64 (.f64 c (*.f64 s x)) 2))))
	3.8b	(pow.f64 (/.f64 (pow.f64 (.f64 c (.f64 s x)) 2) (cos.f64 (+.f64 x x))) -1)
	4.0b	(pow.f64 (cbrt.f64 (.f64 (pow.f64 (.f64 c (*.f64 s x)) -2) (cos.f64 (+.f64 x x)))) 3)
	4.2b	(.f64 (/.f64 (cbrt.f64 (pow.f64 (cos.f64 (+.f64 x x)) 2)) (.f64 x (.f64 c s))) (.f64 (neg.f64 (cbrt.f64 (cos.f64 (+.f64 x x)))) (/.f64 1 (.f64 (.f64 x c) (neg.f64 s)))))
	2.3b	(.f64 (pow.f64 (cbrt.f64 (/.f64 (pow.f64 (cbrt.f64 (cos.f64 (+.f64 x x))) 2) (.f64 x (.f64 c s)))) 3) (/.f64 (cbrt.f64 (cos.f64 (+.f64 x x))) (.f64 x (*.f64 c s))))
	2.1b	(.f64 (/.f64 (cbrt.f64 (pow.f64 (cos.f64 (+.f64 x x)) 2)) (.f64 x (.f64 c s))) (.f64 (cbrt.f64 (cos.f64 (+.f64 x x))) (/.f64 (/.f64 1 x) (*.f64 c s))))
	13.8b	(.f64 (/.f64 1 x) (/.f64 (cos.f64 (+.f64 x x)) (.f64 (pow.f64 (*.f64 c s) 2) x)))
	2.9b	(.f64 (pow.f64 (.f64 s (*.f64 c x)) -2) (cos.f64 (+.f64 x x)))
	4.2b	(/.f64 (cos.f64 (.f64 2 x)) (.f64 (.f64 s (.f64 c x)) (.f64 x (.f64 c s))))
	25.8b	(.f64 (/.f64 (cbrt.f64 (pow.f64 (cos.f64 (+.f64 x x)) 2)) (.f64 x (.f64 c s))) (pow.f64 (sqrt.f64 (/.f64 (cbrt.f64 (cos.f64 (+.f64 x x))) (.f64 x (*.f64 c s)))) 2))
	21.9b	(.f64 (/.f64 1 (.f64 x x)) (/.f64 (cos.f64 (+.f64 x x)) (pow.f64 (*.f64 c s) 2)))

Compiler

Compiled 6306 to 1969 computations (68.8% saved)

regimes97.0ms (1.4%)

Accuracy

Total -44.7b remaining (-11985.5%)

Threshold costs -44.7b (-11985.5%)

Counts

27 → 2

Calls

Call 1

Inputs
(.f64 (/.f64 (cbrt.f64 (pow.f64 (cos.f64 (+.f64 x x)) 2)) (.f64 x (.f64 c s))) (.f64 (neg.f64 (cbrt.f64 (cos.f64 (+.f64 x x)))) (/.f64 1 (.f64 (.f64 x c) (neg.f64 s)))))
(.f64 (pow.f64 (cbrt.f64 (/.f64 (pow.f64 (cbrt.f64 (cos.f64 (+.f64 x x))) 2) (.f64 x (.f64 c s)))) 3) (/.f64 (cbrt.f64 (cos.f64 (+.f64 x x))) (.f64 x (*.f64 c s))))
(.f64 (/.f64 (cbrt.f64 (pow.f64 (cos.f64 (+.f64 x x)) 2)) (.f64 x (.f64 c s))) (.f64 (cbrt.f64 (cos.f64 (+.f64 x x))) (/.f64 (/.f64 1 x) (*.f64 c s))))
(.f64 (/.f64 (cbrt.f64 (pow.f64 (cos.f64 (+.f64 x x)) 2)) (.f64 x (.f64 c s))) (pow.f64 (sqrt.f64 (/.f64 (cbrt.f64 (cos.f64 (+.f64 x x))) (.f64 x (*.f64 c s)))) 2))
(.f64 (pow.f64 (.f64 s (*.f64 c x)) -2) (cos.f64 (+.f64 x x)))
(pow.f64 (cbrt.f64 (.f64 (pow.f64 (.f64 c (*.f64 s x)) -2) (cos.f64 (+.f64 x x)))) 3)
(.f64 (/.f64 1 (.f64 x (.f64 x (.f64 c s)))) (/.f64 (cos.f64 (+.f64 x x)) (*.f64 c s)))
(.f64 (/.f64 1 x) (/.f64 (cos.f64 (+.f64 x x)) (.f64 (pow.f64 (*.f64 c s) 2) x)))
(.f64 (/.f64 (cbrt.f64 (pow.f64 (cos.f64 (+.f64 x x)) 2)) (.f64 x (.f64 c s))) (/.f64 (cbrt.f64 (cos.f64 (+.f64 x x))) (.f64 x (*.f64 c s))))
(.f64 (pow.f64 (.f64 x (*.f64 c s)) -2) (cos.f64 (+.f64 x x)))
(pow.f64 (cbrt.f64 (.f64 (cos.f64 (+.f64 x x)) (pow.f64 (.f64 x (*.f64 c s)) -2))) 3)
(-.f64 (/.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (.f64 x (.f64 c s)) 2)) (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (.f64 x (.f64 c s)) 2)))
(.f64 (/.f64 1 (.f64 x x)) (/.f64 (cos.f64 (+.f64 x x)) (pow.f64 (*.f64 c s) 2)))
(.f64 (/.f64 (cbrt.f64 (pow.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))))
(/.f64 (cbrt.f64 (pow.f64 (cos.f64 (+.f64 x x)) 3)) (.f64 (.f64 x (.f64 c s)) (.f64 x (*.f64 c s))))
(/.f64 (-.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (sin.f64 x) 2)) (.f64 (.f64 x (.f64 c s)) (.f64 x (*.f64 c s))))
(.f64 (/.f64 1 (.f64 x (.f64 c (.f64 s x)))) (/.f64 (cos.f64 (+.f64 x x)) (*.f64 c s)))
(/.f64 (cos.f64 (.f64 2 x)) (expm1.f64 (log1p.f64 (pow.f64 (.f64 c (*.f64 s x)) 2))))
(pow.f64 (/.f64 (pow.f64 (.f64 c (.f64 s x)) 2) (cos.f64 (+.f64 x x))) -1)
(.f64 (/.f64 1 x) (/.f64 (cos.f64 (+.f64 x x)) (.f64 (pow.f64 (*.f64 c s) 2) x)))
(.f64 (cos.f64 (+.f64 x x)) (pow.f64 (.f64 c (*.f64 s x)) -2))
(/.f64 (cos.f64 (.f64 2 x)) (.f64 (.f64 s (.f64 c x)) (.f64 x (.f64 c s))))
(.f64 (pow.f64 x -2) (/.f64 (cos.f64 (+.f64 x x)) (pow.f64 (.f64 c s) 2)))
(/.f64 (/.f64 1 s) (.f64 s (.f64 x (.f64 x (.f64 c c)))))
(pow.f64 (cbrt.f64 (.f64 (cos.f64 (+.f64 x x)) (pow.f64 (.f64 c (*.f64 s x)) -2))) 3)
(/.f64 (cos.f64 (.f64 2 x)) (.f64 (.f64 x (.f64 c s)) (.f64 x (.f64 c s))))
(/.f64 (cos.f64 (.f64 2 x)) (.f64 (pow.f64 c 2) (.f64 (.f64 x (pow.f64 s 2)) x)))

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

Results

15.0ms	1.8b	`x`
15.0ms	1.8b	`c`
15.0ms	1.8b	`s`
8.0ms	0.4b	`(/.f64 (cos.f64 (.f64 2 x)) (.f64 (pow.f64 c 2) (.f64 (.f64 x (pow.f64 s 2)) x)))`
21.0ms	1.8b	`(pow.f64 c 2)`
9.0ms	1.8b	`(pow.f64 s 2)`

Compiler

Compiled 541 to 220 computations (59.3% saved)

bsearch0.0ms (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

9×	`*-commutative_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	28	71
1	37	71

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

end48.0ms (0.7%)

Stop Event

1×

fuel

Compiler

Compiled 200 to 124 computations (38% saved)

Details

analyze473.0ms (6.9%)

sample3.1s (45.5%)

preprocess156.0ms (2.3%)

simplify104.0ms (1.5%)

prune3.0ms (0%)

localize8.0ms (0.1%)

series26.0ms (0.4%)

rewrite70.0ms (1%)

simplify72.0ms (1.1%)

prune514.0ms (7.5%)

localize10.0ms (0.2%)

series9.0ms (0.1%)

rewrite68.0ms (1%)

simplify71.0ms (1%)

prune672.0ms (9.8%)

localize8.0ms (0.1%)

series18.0ms (0.3%)

rewrite61.0ms (0.9%)

simplify67.0ms (1%)

prune386.0ms (5.6%)

localize14.0ms (0.2%)

series31.0ms (0.4%)

rewrite74.0ms (1.1%)

simplify109.0ms (1.6%)

prune576.0ms (8.4%)

regimes97.0ms (1.4%)

bsearch0.0ms (0%)

simplify2.0ms (0%)

end48.0ms (0.7%)

Profiling