Details

analyze471.0ms (7.8%)

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 (51.3%)

Results

1.0s	6164×	body	64	valid
698.0ms	963×	body	1024	valid
431.0ms	2521×	body	64	invalid
337.0ms	597×	body	512	valid
160.0ms	363×	body	256	valid
143.0ms	201×	body	1024	invalid
138.0ms	244×	body	512	invalid
61.0ms	146×	body	256	invalid
50.0ms	165×	body	128	valid
31.0ms	99×	body	128	invalid
4.0ms	4×	body	2048	valid

preprocess154.0ms (2.6%)

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 (1.7%)

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 (0.1%)

Pruning

3 alts after pruning (3 fresh and 0 done)

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

Error

2.3b

Counts

3 → 2

Alt Table

Status	Error	Program
	26.3b	(/.f64 (cos.f64 (.f64 2 x)) (.f64 (pow.f64 c 2) (.f64 (.f64 x (pow.f64 s 2)) x)))
▶	2.4b	(/.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 3 expressions with local error:

New	Error	Program
✓	0.2b	(.f64 (.f64 x (.f64 c s)) (.f64 x (*.f64 c s)))
✓	0.5b	(/.f64 (cos.f64 (.f64 2 x)) (.f64 (.f64 x (.f64 c s)) (.f64 x (.f64 c s))))
✓	4.6b	(.f64 x (.f64 c s))

series25.0ms (0.4%)

Counts

3 → 108

Calls

27 calls:

Time	Variable		Point	Expression
5.0ms	c	@	0	(/.f64 (cos.f64 (.f64 2 x)) (.f64 (.f64 x (.f64 c s)) (.f64 x (.f64 c s))))
2.0ms	s	@	0	(/.f64 (cos.f64 (.f64 2 x)) (.f64 (.f64 x (.f64 c s)) (.f64 x (.f64 c s))))
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))
1.0ms	x	@	0	(/.f64 (cos.f64 (.f64 2 x)) (.f64 (.f64 x (.f64 c s)) (.f64 x (.f64 c s))))

rewrite62.0ms (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	35
1	236	35
2	3216	35

Stop Event

1×	node limit

Counts

3 → 91

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)))

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 expm1.f64 (log1p.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 +.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) ((x log1p.f64 (expm1.f64 (.f64 (cos.f64 (+.f64 x x)) (pow.f64 (.f64 c (.f64 s x)) -2))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (.f64 (cos.f64 (+.f64 x x)) (pow.f64 (.f64 c (.f64 s x)) -2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (.f64 (cos.f64 (+.f64 x x)) (pow.f64 (.f64 c (.f64 s x)) -2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (.f64 (cos.f64 (+.f64 x x)) (pow.f64 (.f64 c (.f64 s x)) -2))) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x +.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 expm1.f64 (log1p.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))))))

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

((#(struct:change #<rule egg-rr> (2) ((x +.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 expm1.f64 (log1p.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))))))

simplify66.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

871×	`associate-/l*_binary64`
639×	`distribute-neg-frac_binary64`
514×	`fma-def_binary64`
436×	`associate-/l/_binary64`
419×	`associate-*l/_binary64`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	40	1778
1	111	1774
2	317	1774
3	1598	1769
4	6390	1767

Stop Event

1×	node limit

Counts

199 → 108

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))
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(.f64 s (.f64 s (.f64 (.f64 c c) (*.f64 x x))))
(.f64 s (.f64 (.f64 c x) (.f64 x (*.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 s (.f64 s (.f64 (.f64 c c) (*.f64 x x))))
(.f64 s (.f64 (.f64 c x) (.f64 x (*.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 s (.f64 s (.f64 (.f64 c c) (*.f64 x x))))
(.f64 s (.f64 (.f64 c x) (.f64 x (*.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 s (.f64 s (.f64 (.f64 c c) (*.f64 x x))))
(.f64 s (.f64 (.f64 c x) (.f64 x (*.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 s (.f64 s (.f64 (.f64 c c) (*.f64 x x))))
(.f64 s (.f64 (.f64 c x) (.f64 x (*.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 s (.f64 s (.f64 (.f64 c c) (*.f64 x x))))
(.f64 s (.f64 (.f64 c x) (.f64 x (*.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 s (.f64 s (.f64 (.f64 c c) (*.f64 x x))))
(.f64 s (.f64 (.f64 c x) (.f64 x (*.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 s (.f64 s (.f64 (.f64 c c) (*.f64 x x))))
(.f64 s (.f64 (.f64 c x) (.f64 x (*.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 s (.f64 s (.f64 (.f64 c c) (*.f64 x x))))
(.f64 s (.f64 (.f64 c x) (.f64 x (*.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 s (.f64 s (.f64 (.f64 c c) (*.f64 x x))))
(.f64 s (.f64 (.f64 c x) (.f64 x (*.f64 s c))))
(.f64 s (.f64 s (.f64 x (.f64 x (*.f64 c c)))))

prune308.0ms (5.1%)

Pruning

15 alts after pruning (14 fresh and 1 done)

	Pruned	Kept	Total
New	117	14	131
Fresh	1	0	1
Picked	0	1	1
Done	0	0	0
Total	118	15	133

Error

0.0b

Counts

133 → 15

Alt Table

Status	Error	Program
	1.9b	(.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))))
▶	1.4b	(.f64 (/.f64 (cos.f64 (+.f64 x x)) (.f64 c (.f64 s x))) (/.f64 1 (.f64 c (*.f64 s x))))
	3.3b	(/.f64 (cos.f64 (.f64 2 x)) (.f64 (.f64 x (.f64 c s)) (.f64 c (.f64 s x))))
	1.8b	(-.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)))
	21.6b	(.f64 (sqrt.f64 (cos.f64 (+.f64 x x))) (.f64 (sqrt.f64 (cos.f64 (+.f64 x x))) (pow.f64 (.f64 c (.f64 s x)) -2)))
	20.3b	(cbrt.f64 (/.f64 (pow.f64 (cos.f64 (+.f64 x x)) 3) (pow.f64 (.f64 c (.f64 s x)) 6)))
	6.0b	(.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)))
	18.2b	(.f64 (pow.f64 x -2) (/.f64 (cos.f64 (+.f64 x x)) (pow.f64 (.f64 c s) 2)))
	5.9b	(.f64 (/.f64 1 (.f64 x (.f64 c (.f64 s x)))) (/.f64 (cos.f64 (+.f64 x x)) (*.f64 c s)))
	13.1b	(.f64 (/.f64 1 x) (/.f64 (cos.f64 (+.f64 x x)) (.f64 (pow.f64 (*.f64 c s) 2) x)))
	1.7b	(pow.f64 (cbrt.f64 (.f64 (cos.f64 (+.f64 x x)) (pow.f64 (.f64 c (*.f64 s x)) -2))) 3)
	2.0b	(.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)))
	5.2b	(/.f64 (cos.f64 (.f64 2 x)) (.f64 (.f64 x (.f64 c s)) (.f64 s (.f64 c x))))
	29.8b	(/.f64 (cos.f64 (.f64 2 x)) (.f64 (pow.f64 c 2) (*.f64 (pow.f64 s 2) (pow.f64 x 2))))
✓	2.4b	(/.f64 (cos.f64 (.f64 2 x)) (.f64 (.f64 x (.f64 c s)) (.f64 x (.f64 c s))))

Compiler

Compiled 3140 to 1436 computations (54.3% saved)

localize9.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(.f64 (/.f64 (cos.f64 (+.f64 x x)) (.f64 c (.f64 s x))) (/.f64 1 (.f64 c (*.f64 s x))))
✓	0.6b	(/.f64 1 (.f64 c (.f64 s x)))
✓	0.6b	(/.f64 (cos.f64 (+.f64 x x)) (.f64 c (.f64 s x)))
✓	3.3b	(.f64 c (.f64 s x))

series28.0ms (0.5%)

Counts

4 → 100

Calls

36 calls:

Time	Variable		Point	Expression
4.0ms	s	@	0	(/.f64 (cos.f64 (+.f64 x x)) (.f64 c (.f64 s x)))
2.0ms	x	@	0	(.f64 c (.f64 s x))
1.0ms	x	@	-inf	(/.f64 (cos.f64 (+.f64 x x)) (.f64 c (.f64 s x)))
1.0ms	x	@	-inf	(.f64 (/.f64 (cos.f64 (+.f64 x x)) (.f64 c (.f64 s x))) (/.f64 1 (.f64 c (*.f64 s x))))
1.0ms	x	@	inf	(.f64 (/.f64 (cos.f64 (+.f64 x x)) (.f64 c (.f64 s x))) (/.f64 1 (.f64 c (*.f64 s x))))

rewrite79.0ms (1.3%)

Algorithm

1×	batch-egg-rewrite

Rules

719×	`log-prod_binary64`
541×	`prod-diff_binary64`
221×	`expm1-udef_binary64`
221×	`log1p-udef_binary64`
213×	`log-div_binary64`

Iterations

Useful iterations: 1 (0.0ms)

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

Stop Event

1×	node limit

Counts

4 → 178

Calls

Call 1

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

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

simplify73.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

941×	`fma-def_binary64`
796×	`associate-*l/_binary64`
665×	`associate-*r/_binary64`
382×	`fma-neg_binary64`
368×	`unswap-sqr_binary64`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	69	1783
1	202	1781
2	568	1779
3	2389	1774
4	7071	1772

Stop Event

1×	node limit

Counts

278 → 205

Calls

Call 1

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

Outputs
(.f64 s (.f64 c x))
(.f64 x (.f64 s c))
(.f64 s (.f64 c x))
(.f64 x (.f64 s c))
(.f64 s (.f64 c x))
(.f64 x (.f64 s c))
(.f64 s (.f64 c x))
(.f64 x (.f64 s c))
(.f64 s (.f64 c x))
(.f64 x (.f64 s c))
(.f64 s (.f64 c x))
(.f64 x (.f64 s c))
(.f64 s (.f64 c x))
(.f64 x (.f64 s c))
(.f64 s (.f64 c x))
(.f64 x (.f64 s c))
(.f64 s (.f64 c x))
(.f64 x (.f64 s c))
(.f64 s (.f64 c x))
(.f64 x (.f64 s c))
(.f64 s (.f64 c x))
(.f64 x (.f64 s c))
(.f64 s (.f64 c x))
(.f64 x (.f64 s c))
(/.f64 1 (.f64 c (.f64 s x)))
(/.f64 1 (.f64 s (.f64 c x)))
(/.f64 1 (.f64 x (.f64 s c)))
(+.f64 (.f64 -2 (/.f64 x (.f64 c s))) (/.f64 1 (.f64 s (.f64 c x))))
(fma.f64 -2 (/.f64 x (.f64 s c)) (/.f64 1 (.f64 s (*.f64 c x))))
(fma.f64 -2 (/.f64 x (.f64 s c)) (/.f64 1 (.f64 x (*.f64 s c))))
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(fma.f64 -2 (/.f64 x (.f64 s c)) (fma.f64 2/3 (/.f64 (pow.f64 x 3) (.f64 s c)) (/.f64 1 (.f64 s (.f64 c x)))))
(fma.f64 -2 (/.f64 x (.f64 s c)) (fma.f64 2/3 (/.f64 (pow.f64 x 3) (.f64 s c)) (/.f64 1 (.f64 x (.f64 s c)))))
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(/.f64 1 (.f64 (.f64 (.f64 s s) (.f64 c c)) (*.f64 x x)))
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(/.f64 (/.f64 (cos.f64 (.f64 x 2)) (.f64 (.f64 c x) (.f64 x (*.f64 s c)))) s)
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(/.f64 (/.f64 (cos.f64 (.f64 x 2)) (.f64 (.f64 c x) (.f64 x (*.f64 s c)))) s)
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(/.f64 (cos.f64 (.f64 x 2)) (.f64 (.f64 (.f64 s s) (.f64 c c)) (.f64 x x)))
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(/.f64 (/.f64 (cos.f64 (.f64 x 2)) (.f64 (.f64 c x) (.f64 x (*.f64 s c)))) s)
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(/.f64 (cos.f64 (.f64 x 2)) (.f64 (.f64 (.f64 s s) (.f64 c c)) (.f64 x x)))
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(/.f64 (/.f64 (cos.f64 (.f64 x 2)) (.f64 (.f64 c x) (.f64 x (*.f64 s c)))) s)
(/.f64 (cos.f64 (.f64 x 2)) (.f64 s (.f64 (.f64 x x) (.f64 s (.f64 c c)))))
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(/.f64 (/.f64 (cos.f64 (.f64 x 2)) (.f64 (.f64 c x) (.f64 x (*.f64 s c)))) s)
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(/.f64 (/.f64 (cos.f64 (.f64 x 2)) (.f64 (.f64 c x) (.f64 x (*.f64 s c)))) s)
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prune500.0ms (8.3%)

Pruning

12 alts after pruning (12 fresh and 0 done)

	Pruned	Kept	Total
New	229	5	234
Fresh	6	7	13
Picked	1	0	1
Done	1	0	1
Total	237	12	249

Error

0.0b

Counts

249 → 12

Alt Table

Status	Error	Program
	1.8b	(.f64 (/.f64 (cos.f64 (+.f64 x x)) (.f64 c (.f64 s x))) (/.f64 1 (/.f64 c (/.f64 1 (.f64 s x)))))
	4.3b	(.f64 (/.f64 (cos.f64 (+.f64 x x)) (.f64 c (.f64 s x))) (/.f64 1 (.f64 s (*.f64 c x))))
	5.9b	(.f64 (/.f64 1 (.f64 x (.f64 c (.f64 s x)))) (/.f64 (cos.f64 (+.f64 x x)) (*.f64 c s)))
	13.1b	(.f64 (/.f64 1 x) (/.f64 (cos.f64 (+.f64 x x)) (.f64 (pow.f64 (*.f64 c s) 2) x)))
	3.4b	(.f64 (/.f64 (cos.f64 (+.f64 x x)) (/.f64 (pow.f64 (cbrt.f64 (.f64 x (.f64 c s))) 2) (/.f64 1 (cbrt.f64 (.f64 x (.f64 c s)))))) (/.f64 1 (.f64 c (*.f64 s x))))
▶	1.7b	(pow.f64 (cbrt.f64 (.f64 (cos.f64 (+.f64 x x)) (pow.f64 (.f64 c (*.f64 s x)) -2))) 3)
	1.8b	(-.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)))
	3.4b	(.f64 (/.f64 (cos.f64 (+.f64 x x)) (.f64 c (.f64 s x))) (.f64 (/.f64 1 (pow.f64 (cbrt.f64 (.f64 x (.f64 c s))) 2)) (/.f64 1 (cbrt.f64 (.f64 x (.f64 c s))))))
	5.2b	(/.f64 (cos.f64 (.f64 2 x)) (.f64 (.f64 x (.f64 c s)) (.f64 s (.f64 c x))))
	1.8b	(.f64 (/.f64 (cos.f64 (+.f64 x x)) (.f64 c (.f64 s x))) (.f64 (/.f64 1 c) (/.f64 1 (*.f64 s x))))
	21.6b	(.f64 (sqrt.f64 (cos.f64 (+.f64 x x))) (.f64 (sqrt.f64 (cos.f64 (+.f64 x x))) (pow.f64 (.f64 c (.f64 s x)) -2)))
	18.2b	(.f64 (pow.f64 x -2) (/.f64 (cos.f64 (+.f64 x x)) (pow.f64 (.f64 c s) 2)))

Compiler

Compiled 5748 to 2587 computations (55% saved)

localize11.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(pow.f64 (.f64 c (.f64 s x)) -2)
✓	0.3b	(pow.f64 (cbrt.f64 (.f64 (cos.f64 (+.f64 x x)) (pow.f64 (.f64 c (*.f64 s x)) -2))) 3)
	3.3b	(.f64 c (.f64 s x))
✓	24.3b	(cbrt.f64 (.f64 (cos.f64 (+.f64 x x)) (pow.f64 (.f64 c (*.f64 s x)) -2)))

series23.0ms (0.4%)

Counts

3 → 36

Calls

27 calls:

Time	Variable		Point	Expression
2.0ms	s	@	0	(pow.f64 (.f64 c (.f64 s x)) -2)
2.0ms	x	@	0	(pow.f64 (cbrt.f64 (.f64 (cos.f64 (+.f64 x x)) (pow.f64 (.f64 c (*.f64 s x)) -2))) 3)
1.0ms	x	@	0	(cbrt.f64 (.f64 (cos.f64 (+.f64 x x)) (pow.f64 (.f64 c (*.f64 s x)) -2)))
1.0ms	x	@	inf	(pow.f64 (cbrt.f64 (.f64 (cos.f64 (+.f64 x x)) (pow.f64 (.f64 c (*.f64 s x)) -2))) 3)
1.0ms	c	@	-inf	(pow.f64 (.f64 c (.f64 s x)) -2)

rewrite65.0ms (1.1%)

Algorithm

1×	batch-egg-rewrite

Rules

672×	`log-prod_binary64`
505×	`prod-diff_binary64`
348×	`pow2_binary64`
299×	`pow-unpow_binary64`
238×	`pow1/3_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	48
1	308	48
2	3643	48

Stop Event

1×	node limit

Counts

3 → 85

Calls

Call 1

Inputs
(cbrt.f64 (.f64 (cos.f64 (+.f64 x x)) (pow.f64 (.f64 c (*.f64 s x)) -2)))
(pow.f64 (cbrt.f64 (.f64 (cos.f64 (+.f64 x x)) (pow.f64 (.f64 c (*.f64 s x)) -2))) 3)
(pow.f64 (.f64 c (.f64 s x)) -2)

Outputs

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((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (cos.f64 (/.f64 0 0)) (pow.f64 (*.f64 x (*.f64 c s)) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (pow.f64 (*.f64 x (*.f64 c s)) -2)) (cos.f64 (/.f64 0 0)))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (pow.f64 (*.f64 x (*.f64 c s)) -2)) (cos.f64 (/.f64 0 0))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (pow.f64 (*.f64 x (*.f64 c s)) -2)) (cos.f64 (/.f64 0 0))))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (pow.f64 (*.f64 x (*.f64 c s)) -2)) (cos.f64 (/.f64 0 0))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (cos.f64 (/.f64 0 0)) (pow.f64 (*.f64 x (*.f64 c s)) -2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cos.f64 (/.f64 0 0)) (pow.f64 (*.f64 x (*.f64 c s)) -2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 x (*.f64 c s)) -2) (cos.f64 (/.f64 0 0)))))) (#(struct:change #<rule 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(cbrt.f64 (cos.f64 (/.f64 0 0))) 2)) (cbrt.f64 (cos.f64 (/.f64 0 0))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (*.f64 x (*.f64 c s)) -2) (sqrt.f64 (cos.f64 (/.f64 0 0)))) (sqrt.f64 (cos.f64 (/.f64 0 0))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (*.f64 (pow.f64 (*.f64 x (*.f64 c s)) -4) (pow.f64 (cos.f64 (/.f64 0 0)) 2))) 1) (cbrt.f64 (*.f64 (cos.f64 (/.f64 0 0)) (pow.f64 (*.f64 x (*.f64 c s)) -2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (*.f64 (pow.f64 (*.f64 x (*.f64 c s)) -4) (pow.f64 (cos.f64 (/.f64 0 0)) 2))) (cbrt.f64 (cbrt.f64 (*.f64 (pow.f64 (*.f64 x (*.f64 c s)) -4) (pow.f64 (cos.f64 (/.f64 0 0)) 2))))) (cbrt.f64 (cbrt.f64 (*.f64 (cos.f64 (/.f64 0 0)) (pow.f64 (*.f64 x (*.f64 c s)) -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (*.f64 (pow.f64 (*.f64 x (*.f64 c s)) -4) (pow.f64 (cos.f64 (/.f64 0 0)) 2))) (cbrt.f64 (cos.f64 (/.f64 0 0)))) (cbrt.f64 (pow.f64 (*.f64 x (*.f64 c s)) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (*.f64 (pow.f64 (*.f64 x (*.f64 c s)) -4) (pow.f64 (cos.f64 (/.f64 0 0)) 2))) (pow.f64 (*.f64 (cos.f64 (/.f64 0 0)) (pow.f64 (*.f64 x (*.f64 c s)) -2)) 1/6)) (pow.f64 (*.f64 (cos.f64 (/.f64 0 0)) (pow.f64 (*.f64 x (*.f64 c s)) -2)) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (pow.f64 (*.f64 x (*.f64 c s)) -4) (pow.f64 (cos.f64 (/.f64 0 0)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (pow.f64 (*.f64 x (*.f64 c s)) -2)) (cos.f64 (/.f64 0 0))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (cos.f64 (/.f64 0 0)) (pow.f64 (*.f64 x (*.f64 c s)) -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (cos.f64 (/.f64 0 0)) (pow.f64 (*.f64 x (*.f64 c s)) -2)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (cos.f64 (/.f64 0 0)) 3) (pow.f64 (pow.f64 (*.f64 x (*.f64 c s)) -2) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (pow.f64 (*.f64 x (*.f64 c s)) -2) 3) (pow.f64 (cos.f64 (/.f64 0 0)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (cos.f64 (/.f64 0 0)) (pow.f64 (*.f64 x (*.f64 c s)) -2))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (cos.f64 (/.f64 0 0)) (pow.f64 (*.f64 x (*.f64 c s)) -2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (fma.f64 -2 (log.f64 (*.f64 x (*.f64 c s))) (log.f64 (cos.f64 (/.f64 0 0)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (fma.f64 -2 (log.f64 (*.f64 x (*.f64 c s))) (log.f64 (cos.f64 (/.f64 0 0)))) 1))))))

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

simplify193.0ms (3.2%)

Algorithm

1×	egg-herbie

Rules

1809×	`unswap-sqr_binary64`
811×	`associate-l_binary64`
771×	`sqr-pow_binary64`
691×	`*-commutative_binary64`
550×	`associate-r_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	684
1	39	684
2	118	684
3	586	684
4	3793	684
5	3839	684
6	3968	684
7	4167	684
8	4336	684
9	4524	684
10	5134	684
11	5364	684
12	5642	684
13	5943	684
14	6287	684
15	6657	684
16	7061	684
17	7236	684
18	7326	684
19	7392	684

Stop Event

1×	node limit

Counts

121 → 88

Calls

Call 1

Inputs
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(/.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))))
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(/.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))))
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(/.f64 1 (.f64 (pow.f64 s 2) (.f64 (pow.f64 c 2) (pow.f64 x 2))))

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

prune175.0ms (2.9%)

Pruning

12 alts after pruning (11 fresh and 1 done)

	Pruned	Kept	Total
New	117	0	117
Fresh	0	11	11
Picked	0	1	1
Done	0	0	0
Total	117	12	129

Error

0.0b

Counts

129 → 12

Alt Table

Status	Error	Program
▶	1.8b	(.f64 (/.f64 (cos.f64 (+.f64 x x)) (.f64 c (.f64 s x))) (/.f64 1 (/.f64 c (/.f64 1 (.f64 s x)))))
	4.3b	(.f64 (/.f64 (cos.f64 (+.f64 x x)) (.f64 c (.f64 s x))) (/.f64 1 (.f64 s (*.f64 c x))))
	5.9b	(.f64 (/.f64 1 (.f64 x (.f64 c (.f64 s x)))) (/.f64 (cos.f64 (+.f64 x x)) (*.f64 c s)))
	13.1b	(.f64 (/.f64 1 x) (/.f64 (cos.f64 (+.f64 x x)) (.f64 (pow.f64 (*.f64 c s) 2) x)))
	3.4b	(.f64 (/.f64 (cos.f64 (+.f64 x x)) (/.f64 (pow.f64 (cbrt.f64 (.f64 x (.f64 c s))) 2) (/.f64 1 (cbrt.f64 (.f64 x (.f64 c s)))))) (/.f64 1 (.f64 c (*.f64 s x))))
✓	1.7b	(pow.f64 (cbrt.f64 (.f64 (cos.f64 (+.f64 x x)) (pow.f64 (.f64 c (*.f64 s x)) -2))) 3)
	1.8b	(-.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)))
	3.4b	(.f64 (/.f64 (cos.f64 (+.f64 x x)) (.f64 c (.f64 s x))) (.f64 (/.f64 1 (pow.f64 (cbrt.f64 (.f64 x (.f64 c s))) 2)) (/.f64 1 (cbrt.f64 (.f64 x (.f64 c s))))))
	5.2b	(/.f64 (cos.f64 (.f64 2 x)) (.f64 (.f64 x (.f64 c s)) (.f64 s (.f64 c x))))
	1.8b	(.f64 (/.f64 (cos.f64 (+.f64 x x)) (.f64 c (.f64 s x))) (.f64 (/.f64 1 c) (/.f64 1 (*.f64 s x))))
	21.6b	(.f64 (sqrt.f64 (cos.f64 (+.f64 x x))) (.f64 (sqrt.f64 (cos.f64 (+.f64 x x))) (pow.f64 (.f64 c (.f64 s x)) -2)))
	18.2b	(.f64 (pow.f64 x -2) (/.f64 (cos.f64 (+.f64 x x)) (pow.f64 (.f64 c s) 2)))

Compiler

Compiled 2975 to 1786 computations (40% saved)

localize12.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.6b	(/.f64 (cos.f64 (+.f64 x x)) (.f64 c (.f64 s x)))
✓	0.7b	(/.f64 1 (*.f64 s x))
	3.3b	(.f64 c (.f64 s x))
✓	3.7b	(/.f64 c (/.f64 1 (*.f64 s x)))

series6.0ms (0.1%)

Counts

2 → 36

Calls

15 calls:

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

rewrite53.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

825×	`pow1_binary64`
761×	`add-log-exp_binary64`
761×	`log1p-expm1-u_binary64`
761×	`expm1-log1p-u_binary64`
743×	`add-exp-log_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	8	17
1	166	14
2	2141	14

Stop Event

1×	node limit

Counts

2 → 60

Calls

Call 1

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

Outputs

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

simplify13.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

5×	`*-commutative_binary64`
3×	`associate-l_binary64`
2×	`associate-r_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	252
1	16	252
2	18	252

Stop Event

1×

saturated

Counts

96 → 61

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 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 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))

Outputs
(.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 s (.f64 c x))
(.f64 c (.f64 s x))
(.f64 s (.f64 c x))
(.f64 c (.f64 s x))
(.f64 s (.f64 c x))
(.f64 c (.f64 s x))
(.f64 s (.f64 c x))
(.f64 c (.f64 s x))
(.f64 s (.f64 c x))
(.f64 c (.f64 s x))
(.f64 s (.f64 c x))
(.f64 c (.f64 s x))
(.f64 s (.f64 c x))
(.f64 c (.f64 s x))
(.f64 s (.f64 c x))
(.f64 c (.f64 s x))
(.f64 s (.f64 c x))
(.f64 c (.f64 s x))
(.f64 s (.f64 c x))
(.f64 c (.f64 s x))
(.f64 s (.f64 c x))
(.f64 c (.f64 s x))
(.f64 s (.f64 c x))
(.f64 c (.f64 s x))
(.f64 s (.f64 c x))
(.f64 c (.f64 s x))
(.f64 s (.f64 c x))
(.f64 c (.f64 s x))
(.f64 s (.f64 c x))
(.f64 c (.f64 s x))
(.f64 s (.f64 c x))
(.f64 c (.f64 s x))
(.f64 s (.f64 c x))
(.f64 c (.f64 s x))
(.f64 s (.f64 c x))
(.f64 c (.f64 s x))
(.f64 s (.f64 c x))
(.f64 c (.f64 s x))
(.f64 s (.f64 c x))
(.f64 c (.f64 s x))
(.f64 s (.f64 c x))
(.f64 c (.f64 s x))
(.f64 s (.f64 c x))
(.f64 c (.f64 s x))
(.f64 s (.f64 c x))
(.f64 c (.f64 s x))
(.f64 s (.f64 c x))

prune306.0ms (5.1%)

Pruning

11 alts after pruning (10 fresh and 1 done)

	Pruned	Kept	Total
New	152	3	155
Fresh	3	7	10
Picked	1	0	1
Done	0	1	1
Total	156	11	167

Error

0.0b

Counts

167 → 11

Alt Table

Status	Error	Program
	5.9b	(.f64 (/.f64 1 (.f64 x (.f64 c (.f64 s x)))) (/.f64 (cos.f64 (+.f64 x x)) (*.f64 c s)))
	1.8b	(.f64 (/.f64 (cos.f64 (+.f64 x x)) (/.f64 (.f64 s x) (/.f64 1 c))) (/.f64 1 (/.f64 c (/.f64 1 (*.f64 s x)))))
✓	1.7b	(pow.f64 (cbrt.f64 (.f64 (cos.f64 (+.f64 x x)) (pow.f64 (.f64 c (*.f64 s x)) -2))) 3)
	3.8b	(.f64 (/.f64 (cos.f64 (+.f64 x x)) (pow.f64 (cbrt.f64 (.f64 x (.f64 c s))) 3)) (/.f64 1 (/.f64 c (/.f64 1 (.f64 s x)))))
	13.1b	(.f64 (/.f64 1 x) (/.f64 (cos.f64 (+.f64 x x)) (.f64 (pow.f64 (*.f64 c s) 2) x)))
	1.8b	(-.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)))
	1.8b	(.f64 (/.f64 (cos.f64 (+.f64 x x)) (.f64 c (.f64 s x))) (/.f64 1 (/.f64 c (.f64 (/.f64 1 s) (pow.f64 x -1)))))
	5.2b	(/.f64 (cos.f64 (.f64 2 x)) (.f64 (.f64 x (.f64 c s)) (.f64 s (.f64 c x))))
	1.8b	(.f64 (/.f64 (cos.f64 (+.f64 x x)) (.f64 c (.f64 s x))) (.f64 (/.f64 1 c) (/.f64 1 (*.f64 s x))))
	21.6b	(.f64 (sqrt.f64 (cos.f64 (+.f64 x x))) (.f64 (sqrt.f64 (cos.f64 (+.f64 x x))) (pow.f64 (.f64 c (.f64 s x)) -2)))
	18.2b	(.f64 (pow.f64 x -2) (/.f64 (cos.f64 (+.f64 x x)) (pow.f64 (.f64 c s) 2)))

Compiler

Compiled 4136 to 1973 computations (52.3% saved)

regimes89.0ms (1.5%)

Accuracy

Total -44.5b remaining (-10850.9%)

Threshold costs -44.5b (-10850.9%)

Counts

24 → 2

Calls

Call 1

Inputs
(.f64 (/.f64 (cos.f64 (+.f64 x x)) (/.f64 (.f64 s x) (/.f64 1 c))) (/.f64 1 (/.f64 c (/.f64 1 (*.f64 s x)))))
(.f64 (/.f64 (cos.f64 (+.f64 x x)) (pow.f64 (cbrt.f64 (.f64 x (.f64 c s))) 3)) (/.f64 1 (/.f64 c (/.f64 1 (.f64 s x)))))
(.f64 (/.f64 (cos.f64 (+.f64 x x)) (.f64 c (.f64 s x))) (/.f64 1 (/.f64 c (.f64 (/.f64 1 s) (pow.f64 x -1)))))
(.f64 (/.f64 (cos.f64 (+.f64 x x)) (.f64 c (.f64 s x))) (/.f64 1 (/.f64 c (/.f64 1 (.f64 s x)))))
(.f64 (/.f64 (cos.f64 (+.f64 x x)) (.f64 c (.f64 s x))) (/.f64 1 (.f64 s (*.f64 c x))))
(.f64 (/.f64 (cos.f64 (+.f64 x x)) (/.f64 (pow.f64 (cbrt.f64 (.f64 x (.f64 c s))) 2) (/.f64 1 (cbrt.f64 (.f64 x (.f64 c s)))))) (/.f64 1 (.f64 c (*.f64 s x))))
(.f64 (/.f64 (cos.f64 (+.f64 x x)) (.f64 c (.f64 s x))) (.f64 (/.f64 1 (pow.f64 (cbrt.f64 (.f64 x (.f64 c s))) 2)) (/.f64 1 (cbrt.f64 (.f64 x (.f64 c s))))))
(.f64 (/.f64 (cos.f64 (+.f64 x x)) (.f64 c (.f64 s x))) (.f64 (/.f64 1 c) (/.f64 1 (*.f64 s 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))))
(.f64 (/.f64 (cos.f64 (+.f64 x x)) (.f64 c (.f64 s x))) (/.f64 1 (.f64 c (*.f64 s x))))
(/.f64 (cos.f64 (.f64 2 x)) (.f64 (.f64 x (.f64 c s)) (.f64 c (.f64 s 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)))
(.f64 (sqrt.f64 (cos.f64 (+.f64 x x))) (.f64 (sqrt.f64 (cos.f64 (+.f64 x x))) (pow.f64 (.f64 c (.f64 s x)) -2)))
(cbrt.f64 (/.f64 (pow.f64 (cos.f64 (+.f64 x x)) 3) (pow.f64 (.f64 c (.f64 s x)) 6)))
(.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)))
(.f64 (pow.f64 x -2) (/.f64 (cos.f64 (+.f64 x x)) (pow.f64 (.f64 c s) 2)))
(.f64 (/.f64 1 (.f64 x (.f64 c (.f64 s x)))) (/.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)))
(pow.f64 (cbrt.f64 (.f64 (cos.f64 (+.f64 x x)) (pow.f64 (.f64 c (*.f64 s x)) -2))) 3)
(.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)))
(/.f64 (cos.f64 (.f64 2 x)) (.f64 (.f64 x (.f64 c s)) (.f64 s (.f64 c x))))
(/.f64 (cos.f64 (.f64 2 x)) (.f64 (pow.f64 c 2) (*.f64 (pow.f64 s 2) (pow.f64 x 2))))
(/.f64 (cos.f64 (.f64 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 (/.f64 (cos.f64 (+.f64 x x)) (.f64 c (.f64 s x))) (/.f64 1 (/.f64 c (/.f64 1 (.f64 s x)))))
(/.f64 (cos.f64 (.f64 2 x)) (.f64 (.f64 x (.f64 c s)) (.f64 x (.f64 c s))))

Results

12.0ms	1.4b	`x`
12.0ms	1.4b	`c`
12.0ms	1.4b	`s`
7.0ms	0.4b	`(/.f64 (cos.f64 (.f64 2 x)) (.f64 (pow.f64 c 2) (.f64 (.f64 x (pow.f64 s 2)) x)))`
9.0ms	1.4b	`(pow.f64 c 2)`
9.0ms	1.4b	`(pow.f64 c 2)`
8.0ms	1.4b	`(pow.f64 s 2)`
9.0ms	1.4b	`(pow.f64 s 2)`

Compiler

Compiled 542 to 232 computations (57.2% 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`
1×	`1-exp_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	31	83
1	42	83

Stop Event

1×

saturated

Calls

Call 1

Inputs

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

end93.0ms (1.5%)

Stop Event

1×

fuel

Compiler

Compiled 232 to 140 computations (39.7% saved)

Details

analyze471.0ms (7.8%)

sample3.1s (51.3%)

preprocess154.0ms (2.6%)

simplify104.0ms (1.7%)

prune3.0ms (0.1%)

localize8.0ms (0.1%)

series25.0ms (0.4%)

rewrite62.0ms (1%)

simplify66.0ms (1.1%)

prune308.0ms (5.1%)

localize9.0ms (0.1%)

series28.0ms (0.5%)

rewrite79.0ms (1.3%)

simplify73.0ms (1.2%)

prune500.0ms (8.3%)

localize11.0ms (0.2%)

series23.0ms (0.4%)

rewrite65.0ms (1.1%)

simplify193.0ms (3.2%)

prune175.0ms (2.9%)

localize12.0ms (0.2%)

series6.0ms (0.1%)

rewrite53.0ms (0.9%)

simplify13.0ms (0.2%)

prune306.0ms (5.1%)

regimes89.0ms (1.5%)

bsearch0.0ms (0%)

simplify2.0ms (0%)

end93.0ms (1.5%)

Profiling