Details

analyze237.0ms (6%)

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	99.9%	0.1%	0%	0%	0%	0
0%	0%	99.9%	0.1%	0%	0%	0%	1
0%	0%	99.9%	0.1%	0%	0%	0%	2
0%	0%	99.9%	0.1%	0%	0%	0%	3
0%	0%	99.9%	0.1%	0%	0%	0%	4
0%	0%	99.9%	0.1%	0%	0%	0%	5
0%	0%	99.9%	0.1%	0%	0%	0%	6
37.5%	37.5%	62.4%	0.1%	0%	0%	0%	7
37.5%	37.5%	62.4%	0.1%	0%	0%	0%	8
50%	43.7%	43.7%	0.1%	12.5%	0%	0%	9
50%	43.7%	43.7%	0.1%	12.5%	0%	0%	10
57.7%	46.8%	34.3%	0.1%	18.7%	0%	0%	11
57.7%	46.8%	34.3%	0.1%	18.7%	0%	0%	12

Compiler

Compiled 10 to 7 computations (30% saved)

sample3.1s (79.4%)

Results

853.0ms	2138×	body	1024	valid
635.0ms	1940×	body	1024	infinite
634.0ms	5100×	body	256	valid
280.0ms	1962×	body	256	infinite
222.0ms	1013×	body	512	infinite
211.0ms	1013×	body	512	valid
5.0ms	5×	body	2048	valid

Bogosity

preprocess56.0ms (1.4%)

Algorithm

2×	egg-herbie

Rules

1300×	`associate-*r/`
1142×	`distribute-lft-in`
1098×	`associate-/r*`
988×	`distribute-rgt-in`
824×	`fma-def`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	42
1	30	42
2	63	42
3	138	42
4	315	42
5	747	42
6	2400	42
7	6377	42
0	2	2

Stop Event

1×	saturated
1×	node limit

Calls

Call 1

Inputs
0
1

Outputs
0
1

Call 2

Inputs
(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))
(*.f64 (cos.f64 y) (/.f64 (sinh.f64 x) x))

Outputs
(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))
(*.f64 (sinh.f64 y) (/.f64 (cos.f64 x) y))
(*.f64 (cos.f64 y) (/.f64 (sinh.f64 x) x))
(*.f64 (sinh.f64 x) (/.f64 (cos.f64 y) x))

Compiler

Compiled 11 to 8 computations (27.3% saved)

simplify52.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

1226×	`fma-neg`
1040×	`associate-r`
842×	`associate-/l*`
742×	`distribute-lft-in`
686×	`associate-l`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	21
1	18	21
2	36	21
3	75	21
4	167	21
5	389	21
6	1223	21
7	4871	21

Stop Event

1×	node limit

Counts

1 → 1

Calls

Call 1

Inputs
(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))

Outputs
(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))

eval0.0ms (0%)

Compiler: Compiled 9 to 6 computations (33.3% saved)

prune1.0ms (0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

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

Error

0.0b

Counts

2 → 1

Alt Table

Click to see full alt table

Status	Error	Program
▶	0.0b	(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))

Compiler

Compiled 9 to 6 computations (33.3% saved)

localize8.0ms (0.2%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.0b	(cos.f64 x)

Compiler

Compiled 19 to 6 computations (68.4% saved)

series0.0ms (0%)

Counts

1 → 4

Calls

3 calls:

Time	Variable		Point	Expression
0.0ms	x	@	0	(cos.f64 x)
0.0ms	x	@	inf	(cos.f64 x)
0.0ms	x	@	-inf	(cos.f64 x)

rewrite47.0ms (1.2%)

Algorithm

1×	batch-egg-rewrite

Rules

904×	`associate-r`
748×	`add-sqr-sqrt`
738×	`*-un-lft-identity`
698×	`pow1`
682×	`add-cube-cbrt`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	4	5
1	78	5
2	910	5

Stop Event

1×	node limit

Counts

1 → 35

Calls

Call 1

Inputs
(cos.f64 x)

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

Outputs

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

simplify57.0ms (1.4%)

Algorithm

1×	egg-herbie

Rules

1150×	`associate-r`
1100×	`distribute-lft-in`
984×	`distribute-rgt-in`
960×	`associate-l`
922×	`*-commutative`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	98	867
1	219	699
2	669	687
3	3468	687
4	7862	687

Stop Event

1×	node limit

Counts

39 → 58

Calls

Call 1

Inputs
1
(+.f64 1 (*.f64 -1/2 (pow.f64 x 2)))
(+.f64 1 (+.f64 (.f64 -1/2 (pow.f64 x 2)) (.f64 1/24 (pow.f64 x 4))))
(+.f64 1 (+.f64 (.f64 -1/2 (pow.f64 x 2)) (+.f64 (.f64 1/24 (pow.f64 x 4)) (*.f64 -1/720 (pow.f64 x 6)))))
(-.f64 (+.f64 (cos.f64 x) 1) 1)
(*.f64 (cos.f64 x) 1)
(*.f64 1 (cos.f64 x))
(*.f64 (sqrt.f64 (cos.f64 x)) (sqrt.f64 (cos.f64 x)))
(*.f64 (cbrt.f64 (cos.f64 x)) (pow.f64 (cbrt.f64 (cos.f64 x)) 2))
(*.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) 2) (cbrt.f64 (cos.f64 x)))
(.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) 2)) (.f64 (sqrt.f64 (cbrt.f64 (cos.f64 x))) (sqrt.f64 (cos.f64 x))))
(.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) 2)) (.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) 2)) (cbrt.f64 (cos.f64 x))))
(.f64 (sqrt.f64 (sqrt.f64 (cos.f64 x))) (.f64 (sqrt.f64 (sqrt.f64 (cos.f64 x))) (sqrt.f64 (cos.f64 x))))
(.f64 (sqrt.f64 (cbrt.f64 (cos.f64 x))) (.f64 (sqrt.f64 (cbrt.f64 (cos.f64 x))) (pow.f64 (cbrt.f64 (cos.f64 x)) 2)))
(.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) 2)) (.f64 (cbrt.f64 (cbrt.f64 (cos.f64 x))) (pow.f64 (cbrt.f64 (cos.f64 x)) 2)))
(.f64 (cbrt.f64 (.f64 (cos.f64 x) (cbrt.f64 (cos.f64 x)))) (*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) 2)) (cbrt.f64 (cos.f64 x))))
(.f64 (cbrt.f64 (sqrt.f64 (cos.f64 x))) (.f64 (cbrt.f64 (sqrt.f64 (cos.f64 x))) (pow.f64 (cbrt.f64 (cos.f64 x)) 2)))
(.f64 (.f64 (sqrt.f64 (cos.f64 x)) (sqrt.f64 (sqrt.f64 (cos.f64 x)))) (sqrt.f64 (sqrt.f64 (cos.f64 x))))
(.f64 (.f64 (cbrt.f64 (cos.f64 x)) (sqrt.f64 (cbrt.f64 (cos.f64 x)))) (*.f64 (cbrt.f64 (cos.f64 x)) (sqrt.f64 (cbrt.f64 (cos.f64 x)))))
(.f64 (.f64 (sqrt.f64 (cos.f64 x)) (cbrt.f64 (cos.f64 x))) (cbrt.f64 (sqrt.f64 (cos.f64 x))))
(.f64 (.f64 (sqrt.f64 (cos.f64 x)) (sqrt.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) 2))) (sqrt.f64 (cbrt.f64 (cos.f64 x))))
(.f64 (.f64 (cbrt.f64 (cos.f64 x)) (sqrt.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) 2))) (sqrt.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) 2)))
(.f64 (.f64 (cbrt.f64 (cos.f64 x)) (cbrt.f64 (*.f64 (cos.f64 x) (cbrt.f64 (cos.f64 x))))) (cbrt.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) 2)))
(.f64 (.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) 2) (sqrt.f64 (cbrt.f64 (cos.f64 x)))) (sqrt.f64 (cbrt.f64 (cos.f64 x))))
(.f64 (.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) 2) (cbrt.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) 2))) (cbrt.f64 (cbrt.f64 (cos.f64 x))))
(.f64 (.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) 2) (cbrt.f64 (sqrt.f64 (cos.f64 x)))) (cbrt.f64 (sqrt.f64 (cos.f64 x))))
(.f64 (.f64 (sqrt.f64 (cbrt.f64 (cos.f64 x))) (cbrt.f64 (cos.f64 x))) (*.f64 (sqrt.f64 (cbrt.f64 (cos.f64 x))) (cbrt.f64 (cos.f64 x))))
(.f64 (.f64 (cbrt.f64 (sqrt.f64 (cos.f64 x))) (sqrt.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) 2))) (*.f64 (cbrt.f64 (sqrt.f64 (cos.f64 x))) (sqrt.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) 2))))
(.f64 (.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) 2)) (cbrt.f64 (sqrt.f64 (cos.f64 x)))) (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) 2)) (cbrt.f64 (sqrt.f64 (cos.f64 x)))))
(pow.f64 (cos.f64 x) 1)
(pow.f64 (sqrt.f64 (cos.f64 x)) 2)
(pow.f64 (cbrt.f64 (cos.f64 x)) 3)
(pow.f64 (pow.f64 (cos.f64 x) 3) 1/3)
(sqrt.f64 (pow.f64 (cos.f64 x) 2))
(log.f64 (exp.f64 (cos.f64 x)))
(cbrt.f64 (pow.f64 (cos.f64 x) 3))
(expm1.f64 (log1p.f64 (cos.f64 x)))
(exp.f64 (log.f64 (cos.f64 x)))
(log1p.f64 (expm1.f64 (cos.f64 x)))

Outputs
1
(+.f64 1 (*.f64 -1/2 (pow.f64 x 2)))
(+.f64 1 (.f64 -1/2 (.f64 x x)))
(fma.f64 -1/2 (*.f64 x x) 1)
(+.f64 1 (+.f64 (.f64 -1/2 (pow.f64 x 2)) (.f64 1/24 (pow.f64 x 4))))
(+.f64 1 (fma.f64 -1/2 (.f64 x x) (.f64 1/24 (pow.f64 x 4))))
(fma.f64 -1/2 (*.f64 x x) (fma.f64 1/24 (pow.f64 x 4) 1))
(+.f64 1 (+.f64 (.f64 -1/2 (pow.f64 x 2)) (+.f64 (.f64 1/24 (pow.f64 x 4)) (*.f64 -1/720 (pow.f64 x 6)))))
(+.f64 1 (fma.f64 -1/2 (.f64 x x) (fma.f64 1/24 (pow.f64 x 4) (.f64 -1/720 (pow.f64 x 6)))))
(+.f64 (fma.f64 -1/720 (pow.f64 x 6) (.f64 -1/2 (.f64 x x))) (fma.f64 1/24 (pow.f64 x 4) 1))
(+.f64 (fma.f64 -1/2 (.f64 x x) 1) (fma.f64 1/24 (pow.f64 x 4) (.f64 -1/720 (pow.f64 x 6))))
(-.f64 (+.f64 (cos.f64 x) 1) 1)
(+.f64 (cos.f64 x) 0)
(cos.f64 x)
(*.f64 (cos.f64 x) 1)
(+.f64 (cos.f64 x) 0)
(cos.f64 x)
(*.f64 1 (cos.f64 x))
(+.f64 (cos.f64 x) 0)
(cos.f64 x)
(*.f64 (sqrt.f64 (cos.f64 x)) (sqrt.f64 (cos.f64 x)))
(+.f64 (cos.f64 x) 0)
(cos.f64 x)
(*.f64 (cbrt.f64 (cos.f64 x)) (pow.f64 (cbrt.f64 (cos.f64 x)) 2))
(+.f64 (cos.f64 x) 0)
(cos.f64 x)
(*.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) 2) (cbrt.f64 (cos.f64 x)))
(+.f64 (cos.f64 x) 0)
(cos.f64 x)
(.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) 2)) (.f64 (sqrt.f64 (cbrt.f64 (cos.f64 x))) (sqrt.f64 (cos.f64 x))))
(+.f64 (cos.f64 x) 0)
(cos.f64 x)
(.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) 2)) (.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) 2)) (cbrt.f64 (cos.f64 x))))
(+.f64 (cos.f64 x) 0)
(cos.f64 x)
(.f64 (sqrt.f64 (sqrt.f64 (cos.f64 x))) (.f64 (sqrt.f64 (sqrt.f64 (cos.f64 x))) (sqrt.f64 (cos.f64 x))))
(+.f64 (cos.f64 x) 0)
(cos.f64 x)
(.f64 (sqrt.f64 (cbrt.f64 (cos.f64 x))) (.f64 (sqrt.f64 (cbrt.f64 (cos.f64 x))) (pow.f64 (cbrt.f64 (cos.f64 x)) 2)))
(+.f64 (cos.f64 x) 0)
(cos.f64 x)
(.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) 2)) (.f64 (cbrt.f64 (cbrt.f64 (cos.f64 x))) (pow.f64 (cbrt.f64 (cos.f64 x)) 2)))
(.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) 2)) (.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) 2) (cbrt.f64 (cbrt.f64 (cos.f64 x)))))
(.f64 (cbrt.f64 (cbrt.f64 (cos.f64 x))) (.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) 2) (cbrt.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) 2))))
(.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) 2) (.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) 2)) (cbrt.f64 (cbrt.f64 (cos.f64 x)))))
(.f64 (cbrt.f64 (.f64 (cos.f64 x) (cbrt.f64 (cos.f64 x)))) (*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) 2)) (cbrt.f64 (cos.f64 x))))
(.f64 (cbrt.f64 (.f64 (cos.f64 x) (cbrt.f64 (cos.f64 x)))) (*.f64 (cbrt.f64 (cos.f64 x)) (cbrt.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) 2))))
(.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) 4)) (.f64 (cbrt.f64 (cos.f64 x)) (cbrt.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) 2))))
(.f64 (cbrt.f64 (cos.f64 x)) (.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) 2)) (cbrt.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) 4))))
(.f64 (cbrt.f64 (sqrt.f64 (cos.f64 x))) (.f64 (cbrt.f64 (sqrt.f64 (cos.f64 x))) (pow.f64 (cbrt.f64 (cos.f64 x)) 2)))
(.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) 2) (.f64 (cbrt.f64 (sqrt.f64 (cos.f64 x))) (cbrt.f64 (sqrt.f64 (cos.f64 x)))))
(.f64 (cbrt.f64 (sqrt.f64 (cos.f64 x))) (.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) 2) (cbrt.f64 (sqrt.f64 (cos.f64 x)))))
(.f64 (.f64 (sqrt.f64 (cos.f64 x)) (sqrt.f64 (sqrt.f64 (cos.f64 x)))) (sqrt.f64 (sqrt.f64 (cos.f64 x))))
(+.f64 (cos.f64 x) 0)
(cos.f64 x)
(.f64 (.f64 (cbrt.f64 (cos.f64 x)) (sqrt.f64 (cbrt.f64 (cos.f64 x)))) (*.f64 (cbrt.f64 (cos.f64 x)) (sqrt.f64 (cbrt.f64 (cos.f64 x)))))
(+.f64 (cos.f64 x) 0)
(cos.f64 x)
(.f64 (.f64 (sqrt.f64 (cos.f64 x)) (cbrt.f64 (cos.f64 x))) (cbrt.f64 (sqrt.f64 (cos.f64 x))))
(.f64 (sqrt.f64 (cos.f64 x)) (.f64 (cbrt.f64 (cos.f64 x)) (cbrt.f64 (sqrt.f64 (cos.f64 x)))))
(*.f64 (cbrt.f64 (sqrt.f64 (cos.f64 x))) (pow.f64 (cbrt.f64 (cos.f64 x)) 5/2))
(.f64 (.f64 (sqrt.f64 (cos.f64 x)) (sqrt.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) 2))) (sqrt.f64 (cbrt.f64 (cos.f64 x))))
(+.f64 (cos.f64 x) 0)
(cos.f64 x)
(.f64 (.f64 (cbrt.f64 (cos.f64 x)) (sqrt.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) 2))) (sqrt.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) 2)))
(+.f64 (cos.f64 x) 0)
(cos.f64 x)
(.f64 (.f64 (cbrt.f64 (cos.f64 x)) (cbrt.f64 (*.f64 (cos.f64 x) (cbrt.f64 (cos.f64 x))))) (cbrt.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) 2)))
(.f64 (cbrt.f64 (.f64 (cos.f64 x) (cbrt.f64 (cos.f64 x)))) (*.f64 (cbrt.f64 (cos.f64 x)) (cbrt.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) 2))))
(.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) 4)) (.f64 (cbrt.f64 (cos.f64 x)) (cbrt.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) 2))))
(.f64 (cbrt.f64 (cos.f64 x)) (.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) 2)) (cbrt.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) 4))))
(.f64 (.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) 2) (sqrt.f64 (cbrt.f64 (cos.f64 x)))) (sqrt.f64 (cbrt.f64 (cos.f64 x))))
(+.f64 (cos.f64 x) 0)
(cos.f64 x)
(.f64 (.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) 2) (cbrt.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) 2))) (cbrt.f64 (cbrt.f64 (cos.f64 x))))
(.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) 2)) (.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) 2) (cbrt.f64 (cbrt.f64 (cos.f64 x)))))
(.f64 (cbrt.f64 (cbrt.f64 (cos.f64 x))) (.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) 2) (cbrt.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) 2))))
(.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) 2) (.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) 2)) (cbrt.f64 (cbrt.f64 (cos.f64 x)))))
(.f64 (.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) 2) (cbrt.f64 (sqrt.f64 (cos.f64 x)))) (cbrt.f64 (sqrt.f64 (cos.f64 x))))
(.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) 2) (.f64 (cbrt.f64 (sqrt.f64 (cos.f64 x))) (cbrt.f64 (sqrt.f64 (cos.f64 x)))))
(.f64 (cbrt.f64 (sqrt.f64 (cos.f64 x))) (.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) 2) (cbrt.f64 (sqrt.f64 (cos.f64 x)))))
(.f64 (.f64 (sqrt.f64 (cbrt.f64 (cos.f64 x))) (cbrt.f64 (cos.f64 x))) (*.f64 (sqrt.f64 (cbrt.f64 (cos.f64 x))) (cbrt.f64 (cos.f64 x))))
(+.f64 (cos.f64 x) 0)
(cos.f64 x)
(.f64 (.f64 (cbrt.f64 (sqrt.f64 (cos.f64 x))) (sqrt.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) 2))) (*.f64 (cbrt.f64 (sqrt.f64 (cos.f64 x))) (sqrt.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) 2))))
(.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) 2) (.f64 (cbrt.f64 (sqrt.f64 (cos.f64 x))) (cbrt.f64 (sqrt.f64 (cos.f64 x)))))
(.f64 (cbrt.f64 (sqrt.f64 (cos.f64 x))) (.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) 2) (cbrt.f64 (sqrt.f64 (cos.f64 x)))))
(.f64 (.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) 2)) (cbrt.f64 (sqrt.f64 (cos.f64 x)))) (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) 2)) (cbrt.f64 (sqrt.f64 (cos.f64 x)))))
(.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) 2) (.f64 (cbrt.f64 (sqrt.f64 (cos.f64 x))) (cbrt.f64 (sqrt.f64 (cos.f64 x)))))
(.f64 (cbrt.f64 (sqrt.f64 (cos.f64 x))) (.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) 2) (cbrt.f64 (sqrt.f64 (cos.f64 x)))))
(pow.f64 (cos.f64 x) 1)
(+.f64 (cos.f64 x) 0)
(cos.f64 x)
(pow.f64 (sqrt.f64 (cos.f64 x)) 2)
(+.f64 (cos.f64 x) 0)
(cos.f64 x)
(pow.f64 (cbrt.f64 (cos.f64 x)) 3)
(+.f64 (cos.f64 x) 0)
(cos.f64 x)
(pow.f64 (pow.f64 (cos.f64 x) 3) 1/3)
(+.f64 (cos.f64 x) 0)
(cos.f64 x)
(sqrt.f64 (pow.f64 (cos.f64 x) 2))
(+.f64 (cos.f64 x) 0)
(cos.f64 x)
(log.f64 (exp.f64 (cos.f64 x)))
(+.f64 (cos.f64 x) 0)
(cos.f64 x)
(cbrt.f64 (pow.f64 (cos.f64 x) 3))
(+.f64 (cos.f64 x) 0)
(cos.f64 x)
(expm1.f64 (log1p.f64 (cos.f64 x)))
(+.f64 (cos.f64 x) 0)
(cos.f64 x)
(exp.f64 (log.f64 (cos.f64 x)))
(+.f64 (cos.f64 x) 0)
(cos.f64 x)
(log1p.f64 (expm1.f64 (cos.f64 x)))
(+.f64 (cos.f64 x) 0)
(cos.f64 x)

eval12.0ms (0.3%)

Compiler: Compiled 977 to 354 computations (63.8% saved)

prune9.0ms (0.2%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	55	3	58
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	55	4	59

Error

Counts

59 → 4

Alt Table

Click to see full alt table

Status	Error	Program
▶	32.4b	(.f64 (+.f64 1 (.f64 -1/2 (*.f64 x x))) (/.f64 (sinh.f64 y) y))
▶	0.3b	(*.f64 (log.f64 (exp.f64 (cos.f64 x))) (/.f64 (sinh.f64 y) y))
✓	0.0b	(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))
▶	29.2b	(*.f64 1 (/.f64 (sinh.f64 y) y))

Compiler

Compiled 42 to 30 computations (28.6% saved)

localize6.0ms (0.1%)

Compiler: Compiled 16 to 7 computations (56.3% saved)

localize12.0ms (0.3%)

Local error

Found 3 expressions with local error:

New	Error	Program
	0.0b	(cos.f64 x)
✓	0.1b	(exp.f64 (cos.f64 x))
✓	0.3b	(log.f64 (exp.f64 (cos.f64 x)))

Compiler

Compiled 28 to 8 computations (71.4% saved)

series1.0ms (0%)

Counts

2 → 16

Calls

6 calls:

Time	Variable		Point	Expression
0.0ms	x	@	0	(exp.f64 (cos.f64 x))
0.0ms	x	@	0	(log.f64 (exp.f64 (cos.f64 x)))
0.0ms	x	@	inf	(exp.f64 (cos.f64 x))
0.0ms	x	@	-inf	(exp.f64 (cos.f64 x))
0.0ms	x	@	-inf	(log.f64 (exp.f64 (cos.f64 x)))

rewrite53.0ms (1.3%)

Algorithm

1×	batch-egg-rewrite

Rules

1100×	`associate-r`
886×	`add-sqr-sqrt`
876×	`*-un-lft-identity`
826×	`pow1`
808×	`add-cube-cbrt`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	14
1	108	14
2	1102	14

Stop Event

1×	node limit

Counts

2 → 62

Calls

Call 1

Inputs
(log.f64 (exp.f64 (cos.f64 x)))
(exp.f64 (cos.f64 x))

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

Outputs

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

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

simplify58.0ms (1.5%)

Algorithm

1×	egg-herbie

Rules

1284×	`unswap-sqr`
804×	`fma-def`
638×	`associate-/l*`
534×	`distribute-lft-out`
472×	`*-commutative`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	163	1314
1	370	1240
2	1338	1064
3	4859	1052

Stop Event

1×	node limit

Counts

78 → 104

Calls

Call 1

Inputs
1
(+.f64 1 (*.f64 -1/2 (pow.f64 x 2)))
(+.f64 1 (+.f64 (.f64 -1/2 (pow.f64 x 2)) (.f64 1/24 (pow.f64 x 4))))
(+.f64 1 (+.f64 (.f64 -1/2 (pow.f64 x 2)) (+.f64 (.f64 1/24 (pow.f64 x 4)) (*.f64 -1/720 (pow.f64 x 6)))))
(cos.f64 x)
(cos.f64 x)
(cos.f64 x)
(cos.f64 x)
(cos.f64 x)
(cos.f64 x)
(cos.f64 x)
(cos.f64 x)
(exp.f64 1)
(+.f64 (.f64 -1/2 (.f64 (pow.f64 x 2) (exp.f64 1))) (exp.f64 1))
(+.f64 (.f64 -1/2 (.f64 (pow.f64 x 2) (exp.f64 1))) (+.f64 (.f64 1/6 (.f64 (pow.f64 x 4) (exp.f64 1))) (exp.f64 1)))
(+.f64 (.f64 -1/2 (.f64 (pow.f64 x 2) (exp.f64 1))) (+.f64 (.f64 -31/720 (.f64 (pow.f64 x 6) (exp.f64 1))) (+.f64 (.f64 1/6 (.f64 (pow.f64 x 4) (exp.f64 1))) (exp.f64 1))))
(+.f64 (cos.f64 x) 0)
(+.f64 0 (cos.f64 x))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (cos.f64 x)))) (log.f64 (sqrt.f64 (exp.f64 (cos.f64 x)))))
(+.f64 (log.f64 (cbrt.f64 (exp.f64 (cos.f64 x)))) (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (cos.f64 x))) 2)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (cos.f64 x))) 2)) (log.f64 (cbrt.f64 (exp.f64 (cos.f64 x)))))
(+.f64 (+.f64 0 (log.f64 (sqrt.f64 (exp.f64 (cos.f64 x))))) (log.f64 (sqrt.f64 (exp.f64 (cos.f64 x)))))
(+.f64 (+.f64 0 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (cos.f64 x))) 2))) (log.f64 (cbrt.f64 (exp.f64 (cos.f64 x)))))
(-.f64 (+.f64 (cos.f64 x) 1) 1)
(-.f64 (+.f64 0 (+.f64 (cos.f64 x) 1)) 1)
(*.f64 (cos.f64 x) 1)
(*.f64 1 (cos.f64 x))
(*.f64 (sqrt.f64 (cos.f64 x)) (sqrt.f64 (cos.f64 x)))
(*.f64 (cbrt.f64 (cos.f64 x)) (pow.f64 (cbrt.f64 (cos.f64 x)) 2))
(*.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) 2) (cbrt.f64 (cos.f64 x)))
(.f64 (.f64 (sqrt.f64 (cos.f64 x)) (sqrt.f64 (sqrt.f64 (cos.f64 x)))) (sqrt.f64 (sqrt.f64 (cos.f64 x))))
(.f64 (.f64 (sqrt.f64 (cos.f64 x)) (cbrt.f64 (cos.f64 x))) (cbrt.f64 (sqrt.f64 (cos.f64 x))))
(.f64 (.f64 (sqrt.f64 (cos.f64 x)) (sqrt.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) 2))) (sqrt.f64 (cbrt.f64 (cos.f64 x))))
(.f64 (.f64 (cbrt.f64 (cos.f64 x)) (sqrt.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) 2))) (sqrt.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) 2)))
(.f64 (.f64 (cbrt.f64 (cos.f64 x)) (*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) 2)) (cbrt.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) 2)))) (cbrt.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) 2)))
(.f64 (.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) 2) (sqrt.f64 (cbrt.f64 (cos.f64 x)))) (sqrt.f64 (cbrt.f64 (cos.f64 x))))
(.f64 (.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) 2) (*.f64 (cbrt.f64 (cbrt.f64 (cos.f64 x))) (cbrt.f64 (cbrt.f64 (cos.f64 x))))) (cbrt.f64 (cbrt.f64 (cos.f64 x))))
(.f64 (.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) 2) (cbrt.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) 2))) (cbrt.f64 (cbrt.f64 (cos.f64 x))))
(.f64 (.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) 2) (cbrt.f64 (sqrt.f64 (cos.f64 x)))) (cbrt.f64 (sqrt.f64 (cos.f64 x))))
(pow.f64 (cos.f64 x) 1)
(pow.f64 (sqrt.f64 (cos.f64 x)) 2)
(pow.f64 (cbrt.f64 (cos.f64 x)) 3)
(pow.f64 (pow.f64 (cos.f64 x) 3) 1/3)
(sqrt.f64 (pow.f64 (cos.f64 x) 2))
(cbrt.f64 (pow.f64 (cos.f64 x) 3))
(cos.f64 x)
(expm1.f64 (log1p.f64 (cos.f64 x)))
(exp.f64 (log.f64 (cos.f64 x)))
(log1p.f64 (expm1.f64 (cos.f64 x)))
(+.f64 1 (expm1.f64 (cos.f64 x)))
(+.f64 (expm1.f64 (cos.f64 x)) 1)
(-.f64 (+.f64 (exp.f64 (cos.f64 x)) 1) 1)
(*.f64 (exp.f64 (cos.f64 x)) 1)
(*.f64 1 (exp.f64 (cos.f64 x)))
(*.f64 (sqrt.f64 (exp.f64 (cos.f64 x))) (sqrt.f64 (exp.f64 (cos.f64 x))))
(*.f64 (cbrt.f64 (exp.f64 (cos.f64 x))) (pow.f64 (cbrt.f64 (exp.f64 (cos.f64 x))) 2))
(*.f64 (pow.f64 (cbrt.f64 (exp.f64 (cos.f64 x))) 2) (cbrt.f64 (exp.f64 (cos.f64 x))))
(.f64 (.f64 (sqrt.f64 (exp.f64 (cos.f64 x))) (sqrt.f64 (sqrt.f64 (exp.f64 (cos.f64 x))))) (sqrt.f64 (sqrt.f64 (exp.f64 (cos.f64 x)))))
(.f64 (.f64 (sqrt.f64 (exp.f64 (cos.f64 x))) (cbrt.f64 (exp.f64 (cos.f64 x)))) (cbrt.f64 (sqrt.f64 (exp.f64 (cos.f64 x)))))
(.f64 (.f64 (sqrt.f64 (exp.f64 (cos.f64 x))) (sqrt.f64 (pow.f64 (cbrt.f64 (exp.f64 (cos.f64 x))) 2))) (sqrt.f64 (cbrt.f64 (exp.f64 (cos.f64 x)))))
(.f64 (.f64 (cbrt.f64 (exp.f64 (cos.f64 x))) (sqrt.f64 (pow.f64 (cbrt.f64 (exp.f64 (cos.f64 x))) 2))) (sqrt.f64 (pow.f64 (cbrt.f64 (exp.f64 (cos.f64 x))) 2)))
(.f64 (.f64 (cbrt.f64 (exp.f64 (cos.f64 x))) (*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (exp.f64 (cos.f64 x))) 2)) (cbrt.f64 (pow.f64 (cbrt.f64 (exp.f64 (cos.f64 x))) 2)))) (cbrt.f64 (pow.f64 (cbrt.f64 (exp.f64 (cos.f64 x))) 2)))
(.f64 (.f64 (pow.f64 (cbrt.f64 (exp.f64 (cos.f64 x))) 2) (sqrt.f64 (cbrt.f64 (exp.f64 (cos.f64 x))))) (sqrt.f64 (cbrt.f64 (exp.f64 (cos.f64 x)))))
(.f64 (.f64 (pow.f64 (cbrt.f64 (exp.f64 (cos.f64 x))) 2) (cbrt.f64 (sqrt.f64 (exp.f64 (cos.f64 x))))) (cbrt.f64 (sqrt.f64 (exp.f64 (cos.f64 x)))))
(.f64 (.f64 (pow.f64 (cbrt.f64 (exp.f64 (cos.f64 x))) 2) (*.f64 (cbrt.f64 (cbrt.f64 (exp.f64 (cos.f64 x)))) (cbrt.f64 (cbrt.f64 (exp.f64 (cos.f64 x)))))) (cbrt.f64 (cbrt.f64 (exp.f64 (cos.f64 x)))))
(.f64 (.f64 (pow.f64 (cbrt.f64 (exp.f64 (cos.f64 x))) 2) (cbrt.f64 (pow.f64 (cbrt.f64 (exp.f64 (cos.f64 x))) 2))) (cbrt.f64 (cbrt.f64 (exp.f64 (cos.f64 x)))))
(pow.f64 (exp.f64 (cos.f64 x)) 1)
(pow.f64 (sqrt.f64 (exp.f64 (cos.f64 x))) 2)
(pow.f64 (cbrt.f64 (exp.f64 (cos.f64 x))) 3)
(pow.f64 (pow.f64 (exp.f64 (cos.f64 x)) 3) 1/3)
(pow.f64 (exp.f64 1) (cos.f64 x))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) 2)) (cbrt.f64 (cos.f64 x)))
(pow.f64 (exp.f64 (sqrt.f64 (cos.f64 x))) (sqrt.f64 (cos.f64 x)))
(sqrt.f64 (pow.f64 (exp.f64 (cos.f64 x)) 2))
(log.f64 (exp.f64 (exp.f64 (cos.f64 x))))
(cbrt.f64 (pow.f64 (exp.f64 (cos.f64 x)) 3))
(expm1.f64 (log1p.f64 (exp.f64 (cos.f64 x))))
(log1p.f64 (expm1.f64 (exp.f64 (cos.f64 x))))

Outputs
1
(+.f64 1 (*.f64 -1/2 (pow.f64 x 2)))
(+.f64 1 (.f64 -1/2 (.f64 x x)))
(fma.f64 -1/2 (*.f64 x x) 1)
(+.f64 1 (+.f64 (.f64 -1/2 (pow.f64 x 2)) (.f64 1/24 (pow.f64 x 4))))
(+.f64 1 (fma.f64 -1/2 (.f64 x x) (.f64 1/24 (pow.f64 x 4))))
(+.f64 (fma.f64 -1/2 (.f64 x x) 1) (.f64 1/24 (pow.f64 x 4)))
(fma.f64 -1/2 (*.f64 x x) (fma.f64 1/24 (pow.f64 x 4) 1))
(+.f64 1 (+.f64 (.f64 -1/2 (pow.f64 x 2)) (+.f64 (.f64 1/24 (pow.f64 x 4)) (*.f64 -1/720 (pow.f64 x 6)))))
(+.f64 1 (fma.f64 -1/2 (.f64 x x) (fma.f64 1/24 (pow.f64 x 4) (.f64 -1/720 (pow.f64 x 6)))))
(+.f64 (fma.f64 -1/2 (.f64 x x) 1) (fma.f64 1/24 (pow.f64 x 4) (.f64 -1/720 (pow.f64 x 6))))
(+.f64 (fma.f64 1/24 (pow.f64 x 4) (.f64 x (.f64 -1/2 x))) (fma.f64 -1/720 (pow.f64 x 6) 1))
(cos.f64 x)
(cos.f64 x)
(cos.f64 x)
(cos.f64 x)
(cos.f64 x)
(cos.f64 x)
(cos.f64 x)
(cos.f64 x)
(exp.f64 1)
(E.f64)
(+.f64 (.f64 -1/2 (.f64 (pow.f64 x 2) (exp.f64 1))) (exp.f64 1))
(fma.f64 -1/2 (.f64 (.f64 x x) (E.f64)) (E.f64))
(.f64 (fma.f64 -1/2 (.f64 x x) 1) (E.f64))
(+.f64 (.f64 -1/2 (.f64 (pow.f64 x 2) (exp.f64 1))) (+.f64 (.f64 1/6 (.f64 (pow.f64 x 4) (exp.f64 1))) (exp.f64 1)))
(fma.f64 -1/2 (.f64 (.f64 x x) (E.f64)) (fma.f64 1/6 (*.f64 (pow.f64 x 4) (E.f64)) (E.f64)))
(fma.f64 (E.f64) (fma.f64 -1/2 (.f64 x x) (.f64 (pow.f64 x 4) 1/6)) (E.f64))
(+.f64 (.f64 -1/2 (.f64 (pow.f64 x 2) (exp.f64 1))) (+.f64 (.f64 -31/720 (.f64 (pow.f64 x 6) (exp.f64 1))) (+.f64 (.f64 1/6 (.f64 (pow.f64 x 4) (exp.f64 1))) (exp.f64 1))))
(fma.f64 -1/2 (.f64 (.f64 x x) (E.f64)) (fma.f64 -31/720 (.f64 (pow.f64 x 6) (E.f64)) (fma.f64 1/6 (.f64 (pow.f64 x 4) (E.f64)) (E.f64))))
(+.f64 (.f64 (E.f64) (+.f64 (.f64 (pow.f64 x 6) -31/720) (.f64 (pow.f64 x 4) 1/6))) (.f64 (fma.f64 -1/2 (*.f64 x x) 1) (E.f64)))
(fma.f64 (E.f64) (fma.f64 -1/2 (.f64 x x) (.f64 (pow.f64 x 6) -31/720)) (*.f64 (E.f64) (fma.f64 (pow.f64 x 4) 1/6 1)))
(.f64 (E.f64) (+.f64 (fma.f64 -1/2 (.f64 x x) 1) (fma.f64 (pow.f64 x 6) -31/720 (*.f64 (pow.f64 x 4) 1/6))))
(+.f64 (cos.f64 x) 0)
(cos.f64 x)
(+.f64 0 (cos.f64 x))
(cos.f64 x)
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (cos.f64 x)))) (log.f64 (sqrt.f64 (exp.f64 (cos.f64 x)))))
(*.f64 2 (log.f64 (sqrt.f64 (exp.f64 (cos.f64 x)))))
(*.f64 (log.f64 (exp.f64 (cos.f64 x))) 1)
(+.f64 (log.f64 (cbrt.f64 (exp.f64 (cos.f64 x)))) (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (cos.f64 x))) 2)))
(+.f64 (log.f64 (cbrt.f64 (exp.f64 (cos.f64 x)))) (*.f64 2 (log.f64 (cbrt.f64 (exp.f64 (cos.f64 x))))))
(*.f64 3 (log.f64 (cbrt.f64 (exp.f64 (cos.f64 x)))))
(*.f64 (log.f64 (cbrt.f64 (exp.f64 (cos.f64 x)))) 3)
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (cos.f64 x))) 2)) (log.f64 (cbrt.f64 (exp.f64 (cos.f64 x)))))
(+.f64 (log.f64 (cbrt.f64 (exp.f64 (cos.f64 x)))) (*.f64 2 (log.f64 (cbrt.f64 (exp.f64 (cos.f64 x))))))
(*.f64 3 (log.f64 (cbrt.f64 (exp.f64 (cos.f64 x)))))
(*.f64 (log.f64 (cbrt.f64 (exp.f64 (cos.f64 x)))) 3)
(+.f64 (+.f64 0 (log.f64 (sqrt.f64 (exp.f64 (cos.f64 x))))) (log.f64 (sqrt.f64 (exp.f64 (cos.f64 x)))))
(*.f64 2 (log.f64 (sqrt.f64 (exp.f64 (cos.f64 x)))))
(*.f64 (log.f64 (exp.f64 (cos.f64 x))) 1)
(+.f64 (+.f64 0 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (cos.f64 x))) 2))) (log.f64 (cbrt.f64 (exp.f64 (cos.f64 x)))))
(+.f64 (log.f64 (cbrt.f64 (exp.f64 (cos.f64 x)))) (*.f64 2 (log.f64 (cbrt.f64 (exp.f64 (cos.f64 x))))))
(*.f64 3 (log.f64 (cbrt.f64 (exp.f64 (cos.f64 x)))))
(*.f64 (log.f64 (cbrt.f64 (exp.f64 (cos.f64 x)))) 3)
(-.f64 (+.f64 (cos.f64 x) 1) 1)
(cos.f64 x)
(-.f64 (+.f64 0 (+.f64 (cos.f64 x) 1)) 1)
(cos.f64 x)
(*.f64 (cos.f64 x) 1)
(cos.f64 x)
(*.f64 1 (cos.f64 x))
(cos.f64 x)
(*.f64 (sqrt.f64 (cos.f64 x)) (sqrt.f64 (cos.f64 x)))
(cos.f64 x)
(*.f64 (cbrt.f64 (cos.f64 x)) (pow.f64 (cbrt.f64 (cos.f64 x)) 2))
(cos.f64 x)
(*.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) 2) (cbrt.f64 (cos.f64 x)))
(cos.f64 x)
(.f64 (.f64 (sqrt.f64 (cos.f64 x)) (sqrt.f64 (sqrt.f64 (cos.f64 x)))) (sqrt.f64 (sqrt.f64 (cos.f64 x))))
(cos.f64 x)
(.f64 (.f64 (sqrt.f64 (cos.f64 x)) (cbrt.f64 (cos.f64 x))) (cbrt.f64 (sqrt.f64 (cos.f64 x))))
(.f64 (sqrt.f64 (cos.f64 x)) (.f64 (cbrt.f64 (cos.f64 x)) (cbrt.f64 (sqrt.f64 (cos.f64 x)))))
(.f64 (cbrt.f64 (cos.f64 x)) (.f64 (sqrt.f64 (cos.f64 x)) (cbrt.f64 (sqrt.f64 (cos.f64 x)))))
(.f64 (cbrt.f64 (sqrt.f64 (cos.f64 x))) (.f64 (sqrt.f64 (cos.f64 x)) (cbrt.f64 (cos.f64 x))))
(.f64 (.f64 (sqrt.f64 (cos.f64 x)) (sqrt.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) 2))) (sqrt.f64 (cbrt.f64 (cos.f64 x))))
(cos.f64 x)
(.f64 (.f64 (cbrt.f64 (cos.f64 x)) (sqrt.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) 2))) (sqrt.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) 2)))
(cos.f64 x)
(.f64 (.f64 (cbrt.f64 (cos.f64 x)) (*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) 2)) (cbrt.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) 2)))) (cbrt.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) 2)))
(cos.f64 x)
(.f64 (.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) 2) (sqrt.f64 (cbrt.f64 (cos.f64 x)))) (sqrt.f64 (cbrt.f64 (cos.f64 x))))
(cos.f64 x)
(.f64 (.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) 2) (*.f64 (cbrt.f64 (cbrt.f64 (cos.f64 x))) (cbrt.f64 (cbrt.f64 (cos.f64 x))))) (cbrt.f64 (cbrt.f64 (cos.f64 x))))
(cos.f64 x)
(.f64 (.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) 2) (cbrt.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) 2))) (cbrt.f64 (cbrt.f64 (cos.f64 x))))
(.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) 2) (.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) 2)) (cbrt.f64 (cbrt.f64 (cos.f64 x)))))
(.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) 2)) (.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) 2) (cbrt.f64 (cbrt.f64 (cos.f64 x)))))
(.f64 (.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) 2) (cbrt.f64 (sqrt.f64 (cos.f64 x)))) (cbrt.f64 (sqrt.f64 (cos.f64 x))))
(.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) 2) (.f64 (cbrt.f64 (sqrt.f64 (cos.f64 x))) (cbrt.f64 (sqrt.f64 (cos.f64 x)))))
(pow.f64 (cos.f64 x) 1)
(cos.f64 x)
(pow.f64 (sqrt.f64 (cos.f64 x)) 2)
(cos.f64 x)
(pow.f64 (cbrt.f64 (cos.f64 x)) 3)
(cos.f64 x)
(pow.f64 (pow.f64 (cos.f64 x) 3) 1/3)
(cos.f64 x)
(sqrt.f64 (pow.f64 (cos.f64 x) 2))
(cos.f64 x)
(cbrt.f64 (pow.f64 (cos.f64 x) 3))
(cos.f64 x)
(cos.f64 x)
(expm1.f64 (log1p.f64 (cos.f64 x)))
(cos.f64 x)
(exp.f64 (log.f64 (cos.f64 x)))
(cos.f64 x)
(log1p.f64 (expm1.f64 (cos.f64 x)))
(cos.f64 x)
(+.f64 1 (expm1.f64 (cos.f64 x)))
(exp.f64 (cos.f64 x))
(+.f64 (expm1.f64 (cos.f64 x)) 1)
(+.f64 1 (expm1.f64 (cos.f64 x)))
(exp.f64 (cos.f64 x))
(-.f64 (+.f64 (exp.f64 (cos.f64 x)) 1) 1)
(+.f64 1 (expm1.f64 (cos.f64 x)))
(exp.f64 (cos.f64 x))
(*.f64 (exp.f64 (cos.f64 x)) 1)
(+.f64 1 (expm1.f64 (cos.f64 x)))
(exp.f64 (cos.f64 x))
(*.f64 1 (exp.f64 (cos.f64 x)))
(+.f64 1 (expm1.f64 (cos.f64 x)))
(exp.f64 (cos.f64 x))
(*.f64 (sqrt.f64 (exp.f64 (cos.f64 x))) (sqrt.f64 (exp.f64 (cos.f64 x))))
(+.f64 1 (expm1.f64 (cos.f64 x)))
(exp.f64 (cos.f64 x))
(*.f64 (cbrt.f64 (exp.f64 (cos.f64 x))) (pow.f64 (cbrt.f64 (exp.f64 (cos.f64 x))) 2))
(+.f64 1 (expm1.f64 (cos.f64 x)))
(exp.f64 (cos.f64 x))
(*.f64 (pow.f64 (cbrt.f64 (exp.f64 (cos.f64 x))) 2) (cbrt.f64 (exp.f64 (cos.f64 x))))
(+.f64 1 (expm1.f64 (cos.f64 x)))
(exp.f64 (cos.f64 x))
(.f64 (.f64 (sqrt.f64 (exp.f64 (cos.f64 x))) (sqrt.f64 (sqrt.f64 (exp.f64 (cos.f64 x))))) (sqrt.f64 (sqrt.f64 (exp.f64 (cos.f64 x)))))
(+.f64 1 (expm1.f64 (cos.f64 x)))
(exp.f64 (cos.f64 x))
(.f64 (.f64 (sqrt.f64 (exp.f64 (cos.f64 x))) (cbrt.f64 (exp.f64 (cos.f64 x)))) (cbrt.f64 (sqrt.f64 (exp.f64 (cos.f64 x)))))
(.f64 (sqrt.f64 (exp.f64 (cos.f64 x))) (.f64 (cbrt.f64 (exp.f64 (cos.f64 x))) (cbrt.f64 (sqrt.f64 (exp.f64 (cos.f64 x))))))
(.f64 (.f64 (sqrt.f64 (exp.f64 (cos.f64 x))) (sqrt.f64 (pow.f64 (cbrt.f64 (exp.f64 (cos.f64 x))) 2))) (sqrt.f64 (cbrt.f64 (exp.f64 (cos.f64 x)))))
(+.f64 1 (expm1.f64 (cos.f64 x)))
(exp.f64 (cos.f64 x))
(.f64 (.f64 (cbrt.f64 (exp.f64 (cos.f64 x))) (sqrt.f64 (pow.f64 (cbrt.f64 (exp.f64 (cos.f64 x))) 2))) (sqrt.f64 (pow.f64 (cbrt.f64 (exp.f64 (cos.f64 x))) 2)))
(+.f64 1 (expm1.f64 (cos.f64 x)))
(exp.f64 (cos.f64 x))
(.f64 (.f64 (cbrt.f64 (exp.f64 (cos.f64 x))) (*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (exp.f64 (cos.f64 x))) 2)) (cbrt.f64 (pow.f64 (cbrt.f64 (exp.f64 (cos.f64 x))) 2)))) (cbrt.f64 (pow.f64 (cbrt.f64 (exp.f64 (cos.f64 x))) 2)))
(+.f64 1 (expm1.f64 (cos.f64 x)))
(exp.f64 (cos.f64 x))
(.f64 (.f64 (pow.f64 (cbrt.f64 (exp.f64 (cos.f64 x))) 2) (sqrt.f64 (cbrt.f64 (exp.f64 (cos.f64 x))))) (sqrt.f64 (cbrt.f64 (exp.f64 (cos.f64 x)))))
(+.f64 1 (expm1.f64 (cos.f64 x)))
(exp.f64 (cos.f64 x))
(.f64 (.f64 (pow.f64 (cbrt.f64 (exp.f64 (cos.f64 x))) 2) (cbrt.f64 (sqrt.f64 (exp.f64 (cos.f64 x))))) (cbrt.f64 (sqrt.f64 (exp.f64 (cos.f64 x)))))
(.f64 (pow.f64 (cbrt.f64 (exp.f64 (cos.f64 x))) 2) (.f64 (cbrt.f64 (sqrt.f64 (exp.f64 (cos.f64 x)))) (cbrt.f64 (sqrt.f64 (exp.f64 (cos.f64 x))))))
(.f64 (cbrt.f64 (sqrt.f64 (exp.f64 (cos.f64 x)))) (.f64 (pow.f64 (cbrt.f64 (exp.f64 (cos.f64 x))) 2) (cbrt.f64 (sqrt.f64 (exp.f64 (cos.f64 x))))))
(.f64 (.f64 (pow.f64 (cbrt.f64 (exp.f64 (cos.f64 x))) 2) (*.f64 (cbrt.f64 (cbrt.f64 (exp.f64 (cos.f64 x)))) (cbrt.f64 (cbrt.f64 (exp.f64 (cos.f64 x)))))) (cbrt.f64 (cbrt.f64 (exp.f64 (cos.f64 x)))))
(+.f64 1 (expm1.f64 (cos.f64 x)))
(exp.f64 (cos.f64 x))
(.f64 (.f64 (pow.f64 (cbrt.f64 (exp.f64 (cos.f64 x))) 2) (cbrt.f64 (pow.f64 (cbrt.f64 (exp.f64 (cos.f64 x))) 2))) (cbrt.f64 (cbrt.f64 (exp.f64 (cos.f64 x)))))
(.f64 (pow.f64 (cbrt.f64 (exp.f64 (cos.f64 x))) 2) (.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (exp.f64 (cos.f64 x))) 2)) (cbrt.f64 (cbrt.f64 (exp.f64 (cos.f64 x))))))
(.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (exp.f64 (cos.f64 x))) 2)) (.f64 (pow.f64 (cbrt.f64 (exp.f64 (cos.f64 x))) 2) (cbrt.f64 (cbrt.f64 (exp.f64 (cos.f64 x))))))
(pow.f64 (exp.f64 (cos.f64 x)) 1)
(+.f64 1 (expm1.f64 (cos.f64 x)))
(exp.f64 (cos.f64 x))
(pow.f64 (sqrt.f64 (exp.f64 (cos.f64 x))) 2)
(+.f64 1 (expm1.f64 (cos.f64 x)))
(exp.f64 (cos.f64 x))
(pow.f64 (cbrt.f64 (exp.f64 (cos.f64 x))) 3)
(+.f64 1 (expm1.f64 (cos.f64 x)))
(exp.f64 (cos.f64 x))
(pow.f64 (pow.f64 (exp.f64 (cos.f64 x)) 3) 1/3)
(+.f64 1 (expm1.f64 (cos.f64 x)))
(exp.f64 (cos.f64 x))
(pow.f64 (exp.f64 1) (cos.f64 x))
(+.f64 1 (expm1.f64 (cos.f64 x)))
(exp.f64 (cos.f64 x))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) 2)) (cbrt.f64 (cos.f64 x)))
(+.f64 1 (expm1.f64 (cos.f64 x)))
(exp.f64 (cos.f64 x))
(pow.f64 (exp.f64 (sqrt.f64 (cos.f64 x))) (sqrt.f64 (cos.f64 x)))
(+.f64 1 (expm1.f64 (cos.f64 x)))
(exp.f64 (cos.f64 x))
(sqrt.f64 (pow.f64 (exp.f64 (cos.f64 x)) 2))
(+.f64 1 (expm1.f64 (cos.f64 x)))
(exp.f64 (cos.f64 x))
(log.f64 (exp.f64 (exp.f64 (cos.f64 x))))
(+.f64 1 (expm1.f64 (cos.f64 x)))
(exp.f64 (cos.f64 x))
(cbrt.f64 (pow.f64 (exp.f64 (cos.f64 x)) 3))
(+.f64 1 (expm1.f64 (cos.f64 x)))
(exp.f64 (cos.f64 x))
(expm1.f64 (log1p.f64 (exp.f64 (cos.f64 x))))
(+.f64 1 (expm1.f64 (cos.f64 x)))
(exp.f64 (cos.f64 x))
(log1p.f64 (expm1.f64 (exp.f64 (cos.f64 x))))
(+.f64 1 (expm1.f64 (cos.f64 x)))
(exp.f64 (cos.f64 x))

localize13.0ms (0.3%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.0b	(.f64 -1/2 (.f64 x x))

Compiler

Compiled 39 to 18 computations (53.8% saved)

series1.0ms (0%)

Counts

1 → 12

Calls

3 calls:

Time	Variable		Point	Expression
0.0ms	x	@	0	(.f64 -1/2 (.f64 x x))
0.0ms	x	@	inf	(.f64 -1/2 (.f64 x x))
0.0ms	x	@	-inf	(.f64 -1/2 (.f64 x x))

rewrite46.0ms (1.2%)

Algorithm

1×	batch-egg-rewrite

Rules

1076×	`add-sqr-sqrt`
1058×	`*-un-lft-identity`
1006×	`pow1`
986×	`add-cube-cbrt`
978×	`add-cbrt-cube`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	13
1	122	13
2	1409	13

Stop Event

1×	node limit

Counts

1 → 11

Calls

Call 1

Inputs
(.f64 -1/2 (.f64 x x))

Outputs

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

simplify37.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

1470×	`distribute-rgt-in`
1446×	`distribute-lft-in`
1164×	`log-prod`
760×	`associate-r`
704×	`associate-+r+`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	38	299
1	93	299
2	347	299
3	1912	299

Stop Event

1×	node limit

Counts

23 → 14

Calls

Call 1

Inputs
(*.f64 -1/2 (pow.f64 x 2))
(*.f64 -1/2 (pow.f64 x 2))
(*.f64 -1/2 (pow.f64 x 2))
(*.f64 -1/2 (pow.f64 x 2))
(*.f64 -1/2 (pow.f64 x 2))
(*.f64 -1/2 (pow.f64 x 2))
(*.f64 -1/2 (pow.f64 x 2))
(*.f64 -1/2 (pow.f64 x 2))
(*.f64 -1/2 (pow.f64 x 2))
(*.f64 -1/2 (pow.f64 x 2))
(*.f64 -1/2 (pow.f64 x 2))
(*.f64 -1/2 (pow.f64 x 2))
(-.f64 (+.f64 1 (.f64 -1/2 (.f64 x x))) 1)
(pow.f64 (.f64 -1/2 (.f64 x x)) 1)
(pow.f64 (*.f64 x (sqrt.f64 -1/2)) 2)
(pow.f64 (cbrt.f64 (.f64 -1/2 (.f64 x x))) 3)
(pow.f64 (pow.f64 (.f64 -1/2 (.f64 x x)) 3) 1/3)
(sqrt.f64 (*.f64 1/4 (pow.f64 x 4)))
(log.f64 (pow.f64 (exp.f64 -1/2) (*.f64 x x)))
(cbrt.f64 (pow.f64 (.f64 -1/2 (.f64 x x)) 3))
(expm1.f64 (log1p.f64 (.f64 -1/2 (.f64 x x))))
(exp.f64 (log.f64 (.f64 -1/2 (.f64 x x))))
(log1p.f64 (expm1.f64 (.f64 -1/2 (.f64 x x))))

Outputs
(*.f64 -1/2 (pow.f64 x 2))
(.f64 -1/2 (.f64 x x))
(.f64 x (.f64 -1/2 x))
(*.f64 -1/2 (pow.f64 x 2))
(.f64 -1/2 (.f64 x x))
(.f64 x (.f64 -1/2 x))
(*.f64 -1/2 (pow.f64 x 2))
(.f64 -1/2 (.f64 x x))
(.f64 x (.f64 -1/2 x))
(*.f64 -1/2 (pow.f64 x 2))
(.f64 -1/2 (.f64 x x))
(.f64 x (.f64 -1/2 x))
(*.f64 -1/2 (pow.f64 x 2))
(.f64 -1/2 (.f64 x x))
(.f64 x (.f64 -1/2 x))
(*.f64 -1/2 (pow.f64 x 2))
(.f64 -1/2 (.f64 x x))
(.f64 x (.f64 -1/2 x))
(*.f64 -1/2 (pow.f64 x 2))
(.f64 -1/2 (.f64 x x))
(.f64 x (.f64 -1/2 x))
(*.f64 -1/2 (pow.f64 x 2))
(.f64 -1/2 (.f64 x x))
(.f64 x (.f64 -1/2 x))
(*.f64 -1/2 (pow.f64 x 2))
(.f64 -1/2 (.f64 x x))
(.f64 x (.f64 -1/2 x))
(*.f64 -1/2 (pow.f64 x 2))
(.f64 -1/2 (.f64 x x))
(.f64 x (.f64 -1/2 x))
(*.f64 -1/2 (pow.f64 x 2))
(.f64 -1/2 (.f64 x x))
(.f64 x (.f64 -1/2 x))
(*.f64 -1/2 (pow.f64 x 2))
(.f64 -1/2 (.f64 x x))
(.f64 x (.f64 -1/2 x))
(-.f64 (+.f64 1 (.f64 -1/2 (.f64 x x))) 1)
(.f64 -1/2 (.f64 x x))
(.f64 x (.f64 -1/2 x))
(pow.f64 (.f64 -1/2 (.f64 x x)) 1)
(.f64 -1/2 (.f64 x x))
(.f64 x (.f64 -1/2 x))
(pow.f64 (*.f64 x (sqrt.f64 -1/2)) 2)
(.f64 -1/2 (.f64 x x))
(.f64 x (.f64 -1/2 x))
(pow.f64 (cbrt.f64 (.f64 -1/2 (.f64 x x))) 3)
(.f64 -1/2 (.f64 x x))
(.f64 x (.f64 -1/2 x))
(pow.f64 (pow.f64 (.f64 -1/2 (.f64 x x)) 3) 1/3)
(.f64 -1/2 (.f64 x x))
(.f64 x (.f64 -1/2 x))
(sqrt.f64 (*.f64 1/4 (pow.f64 x 4)))
(.f64 -1/2 (.f64 x x))
(.f64 x (.f64 -1/2 x))
(log.f64 (pow.f64 (exp.f64 -1/2) (*.f64 x x)))
(.f64 -1/2 (.f64 x x))
(.f64 x (.f64 -1/2 x))
(cbrt.f64 (pow.f64 (.f64 -1/2 (.f64 x x)) 3))
(.f64 -1/2 (.f64 x x))
(.f64 x (.f64 -1/2 x))
(expm1.f64 (log1p.f64 (.f64 -1/2 (.f64 x x))))
(.f64 -1/2 (.f64 x x))
(.f64 x (.f64 -1/2 x))
(exp.f64 (log.f64 (.f64 -1/2 (.f64 x x))))
(.f64 -1/2 (.f64 x x))
(.f64 x (.f64 -1/2 x))
(log1p.f64 (expm1.f64 (.f64 -1/2 (.f64 x x))))
(.f64 -1/2 (.f64 x x))
(.f64 x (.f64 -1/2 x))

eval39.0ms (1%)

Compiler: Compiled 3024 to 1218 computations (59.7% saved)

prune24.0ms (0.6%)

Pruning

4 alts after pruning (0 fresh and 4 done)

	Pruned	Kept	Total
New	176	0	176
Fresh	0	0	0
Picked	0	1	1
Done	0	3	3
Total	176	4	180

Error

Counts

180 → 4

Alt Table

Click to see full alt table

Status	Error	Program
✓	32.4b	(.f64 (+.f64 1 (.f64 -1/2 (*.f64 x x))) (/.f64 (sinh.f64 y) y))
✓	0.3b	(*.f64 (log.f64 (exp.f64 (cos.f64 x))) (/.f64 (sinh.f64 y) y))
✓	0.0b	(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))
✓	29.2b	(*.f64 1 (/.f64 (sinh.f64 y) y))

Compiler

Compiled 42 to 30 computations (28.6% saved)

regimes19.0ms (0.5%)

Counts

4 → 1

Calls

Call 1

Inputs
(*.f64 1 (/.f64 (sinh.f64 y) y))
(.f64 (+.f64 1 (.f64 -1/2 (*.f64 x x))) (/.f64 (sinh.f64 y) y))
(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))
(*.f64 (log.f64 (exp.f64 (cos.f64 x))) (/.f64 (sinh.f64 y) y))

Outputs
(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))

Calls

5 calls:

5.0ms	x
4.0ms	y
3.0ms	(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))
3.0ms	(cos.f64 x)
2.0ms	(/.f64 (sinh.f64 y) y)

Results

Error	Segments	Branch
0.0b	1	`x`
0.0b	1	`y`
0.0b	1	`(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))`
0.0b	1	`(cos.f64 x)`
0.0b	1	`(/.f64 (sinh.f64 y) y)`

Compiler

Compiled 61 to 34 computations (44.3% saved)

regimes8.0ms (0.2%)

Accuracy

Total -3.5b remaining (-12.1%)

Threshold costs -3.5b (-12.1%)

Counts

2 → 1

Calls

Call 1

Inputs
(*.f64 1 (/.f64 (sinh.f64 y) y))
(.f64 (+.f64 1 (.f64 -1/2 (*.f64 x x))) (/.f64 (sinh.f64 y) y))

Outputs
(*.f64 1 (/.f64 (sinh.f64 y) y))

Calls

3 calls:

3.0ms	x
3.0ms	y
2.0ms	(/.f64 (sinh.f64 y) y)

Results

Error	Segments	Branch
29.2b	1	`x`
29.2b	1	`y`
29.2b	1	`(/.f64 (sinh.f64 y) y)`

Compiler

Compiled 32 to 20 computations (37.5% saved)

simplify4.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

4×	`*-commutative`
2×	`*-lft-identity`
2×	`1-exp`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	32
1	15	32

Stop Event

1×	done
1×	saturated

Calls

Call 1

Inputs
(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))
(*.f64 1 (/.f64 (sinh.f64 y) y))

Outputs
(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))
(*.f64 1 (/.f64 (sinh.f64 y) y))
(/.f64 (sinh.f64 y) y)

Compiler

Compiled 15 to 10 computations (33.3% saved)

soundness0.0ms (0%)

end15.0ms (0.4%)

Compiler: Compiled 13 to 6 computations (53.8% saved)

Details

analyze237.0ms (6%)

sample3.1s (79.4%)

preprocess56.0ms (1.4%)

simplify52.0ms (1.3%)

eval0.0ms (0%)

prune1.0ms (0%)

localize8.0ms (0.2%)

series0.0ms (0%)

rewrite47.0ms (1.2%)

simplify57.0ms (1.4%)

eval12.0ms (0.3%)

prune9.0ms (0.2%)

localize6.0ms (0.1%)

localize12.0ms (0.3%)

series1.0ms (0%)

rewrite53.0ms (1.3%)

simplify58.0ms (1.5%)

localize13.0ms (0.3%)

series1.0ms (0%)

rewrite46.0ms (1.2%)

simplify37.0ms (0.9%)

eval39.0ms (1%)

prune24.0ms (0.6%)

regimes19.0ms (0.5%)

regimes8.0ms (0.2%)

simplify4.0ms (0.1%)

soundness0.0ms (0%)

end15.0ms (0.4%)

Profiling