Details

analyze0.0ms (0%)

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	100%	0%	0%	0%	0%	0
0%	0%	100%	0%	0%	0%	0%	1
100%	100%	0%	0%	0%	0%	0%	2

Compiler

Compiled 10 to 8 computations (20% saved)

sample791.0ms (16.1%)

Results

775.0ms

8256×

body

256

valid

Bogosity

preprocess98.0ms (2%)

Algorithm

2×	egg-herbie

Rules

1198×	`fma-def`
778×	`sqr-pow`
712×	`fabs-mul`
684×	`*-commutative`
530×	`associate-r`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	25
1	17	25
2	22	25
3	29	25
4	49	25
5	91	25
6	196	25
7	417	25
8	989	25
9	2380	25
10	3382	25
11	4575	25
12	6270	25
0	1	1

Stop Event

1×	saturated
1×	node limit

Calls

Call 1

Inputs
0

Outputs
0

Call 2

Inputs
(/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))

Outputs
(/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))

Compiler

Compiled 10 to 8 computations (20% saved)

simplify93.0ms (1.9%)

Algorithm

1×	egg-herbie

Rules

1198×	`fma-def`
778×	`sqr-pow`
712×	`fabs-mul`
684×	`*-commutative`
530×	`associate-r`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	25
1	17	25
2	22	25
3	29	25
4	49	25
5	91	25
6	196	25
7	417	25
8	989	25
9	2380	25
10	3382	25
11	4575	25
12	6270	25

Stop Event

1×	node limit

Counts

1 → 1

Calls

Call 1

Inputs
(/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))

Outputs
(/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))

eval0.0ms (0%)

Compiler: Compiled 9 to 7 computations (22.2% 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 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))

Compiler

Compiled 9 to 7 computations (22.2% saved)

localize8.0ms (0.2%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
✓	0.0b	(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))

Compiler

Compiled 24 to 8 computations (66.7% saved)

series2.0ms (0%)

Counts

2 → 24

Calls

6 calls:

Time	Variable		Point	Expression
1.0ms	x	@	-inf	(/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
0.0ms	x	@	inf	(/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
0.0ms	x	@	0	(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
0.0ms	x	@	0	(/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
0.0ms	x	@	-inf	(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))

rewrite69.0ms (1.4%)

Algorithm

2×	egg-rewrite-iter-limit
2×	egg-rewrite
1×	batch-egg-rewrite

Rules

222×	`add-sqr-sqrt`
222×	`add-sqr-sqrt`
210×	`add-exp-log`
210×	`pow1`
210×	`*-un-lft-identity`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	22
1	216	22
2	3273	22
0	8	11
1	169	11
2	2616	11
0	8	11
0	10	17
1	216	17
2	3273	17
0	10	17

Stop Event

1×	iter limit
1×	unsound
1×	iter limit
1×	unsound
1×	unsound

Counts

2 → 22

Calls

Call 1

Inputs
(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
(/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))

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

Outputs

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

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

simplify54.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

1396×	`associate-r`
1156×	`associate-+r+`
992×	`associate-+l+`
972×	`associate-l`
830×	`associate-/l*`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	96	998
1	227	966
2	904	692
3	4945	692

Stop Event

1×	node limit

Counts

46 → 56

Calls

Call 1

Inputs
2
(+.f64 2 (pow.f64 x 2))
(+.f64 2 (+.f64 (pow.f64 x 2) (*.f64 1/12 (pow.f64 x 4))))
(+.f64 2 (+.f64 (.f64 1/360 (pow.f64 x 6)) (+.f64 (pow.f64 x 2) (.f64 1/12 (pow.f64 x 4)))))
(+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x))
(+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x))
(+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x))
(+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x))
(+.f64 (exp.f64 x) (exp.f64 (*.f64 -1 x)))
(+.f64 (exp.f64 x) (exp.f64 (*.f64 -1 x)))
(+.f64 (exp.f64 x) (exp.f64 (*.f64 -1 x)))
(+.f64 (exp.f64 x) (exp.f64 (*.f64 -1 x)))
1
(+.f64 1 (*.f64 -1/2 (pow.f64 x 2)))
(+.f64 1 (+.f64 (.f64 -1/2 (pow.f64 x 2)) (.f64 5/24 (pow.f64 x 4))))
(+.f64 1 (+.f64 (.f64 -1/2 (pow.f64 x 2)) (+.f64 (.f64 -61/720 (pow.f64 x 6)) (*.f64 5/24 (pow.f64 x 4)))))
(/.f64 2 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)))
(/.f64 2 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)))
(/.f64 2 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)))
(/.f64 2 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)))
(/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (*.f64 -1 x))))
(/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (*.f64 -1 x))))
(/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (*.f64 -1 x))))
(/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (*.f64 -1 x))))
(.f64 1 (.f64 2 (cosh.f64 x)))
(.f64 (sqrt.f64 (.f64 2 (cosh.f64 x))) (sqrt.f64 (*.f64 2 (cosh.f64 x))))
(.f64 (.f64 (cbrt.f64 (.f64 2 (cosh.f64 x))) (cbrt.f64 (.f64 2 (cosh.f64 x)))) (cbrt.f64 (*.f64 2 (cosh.f64 x))))
(*.f64 2 (cosh.f64 x))
(/.f64 (-.f64 (.f64 (exp.f64 x) (exp.f64 x)) (.f64 (exp.f64 (neg.f64 x)) (exp.f64 (neg.f64 x)))) (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(/.f64 (+.f64 (pow.f64 (exp.f64 x) 3) (pow.f64 (exp.f64 (neg.f64 x)) 3)) (+.f64 (.f64 (exp.f64 x) (exp.f64 x)) (-.f64 (.f64 (exp.f64 (neg.f64 x)) (exp.f64 (neg.f64 x))) (*.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))))
(pow.f64 (*.f64 2 (cosh.f64 x)) 1)
(log.f64 (exp.f64 (*.f64 2 (cosh.f64 x))))
(cbrt.f64 (.f64 (.f64 (.f64 2 (cosh.f64 x)) (.f64 2 (cosh.f64 x))) (*.f64 2 (cosh.f64 x))))
(expm1.f64 (log1p.f64 (*.f64 2 (cosh.f64 x))))
(exp.f64 (log.f64 (*.f64 2 (cosh.f64 x))))
(log1p.f64 (expm1.f64 (*.f64 2 (cosh.f64 x))))
(.f64 2 (/.f64 1 (.f64 2 (cosh.f64 x))))
(.f64 1 (/.f64 2 (.f64 2 (cosh.f64 x))))
(.f64 (sqrt.f64 (/.f64 2 (.f64 2 (cosh.f64 x)))) (sqrt.f64 (/.f64 2 (*.f64 2 (cosh.f64 x)))))
(.f64 (.f64 (cbrt.f64 (/.f64 2 (.f64 2 (cosh.f64 x)))) (cbrt.f64 (/.f64 2 (.f64 2 (cosh.f64 x))))) (cbrt.f64 (/.f64 2 (*.f64 2 (cosh.f64 x)))))
(pow.f64 (/.f64 2 (*.f64 2 (cosh.f64 x))) 1)
(log.f64 (exp.f64 (/.f64 2 (*.f64 2 (cosh.f64 x)))))
(cbrt.f64 (.f64 (.f64 (/.f64 2 (.f64 2 (cosh.f64 x))) (/.f64 2 (.f64 2 (cosh.f64 x)))) (/.f64 2 (*.f64 2 (cosh.f64 x)))))
(expm1.f64 (log1p.f64 (/.f64 2 (*.f64 2 (cosh.f64 x)))))
(exp.f64 (log.f64 (/.f64 2 (*.f64 2 (cosh.f64 x)))))
(log1p.f64 (expm1.f64 (/.f64 2 (*.f64 2 (cosh.f64 x)))))

Outputs
2
(+.f64 2 (pow.f64 x 2))
(+.f64 2 (*.f64 x x))
(fma.f64 x x 2)
(+.f64 2 (+.f64 (pow.f64 x 2) (*.f64 1/12 (pow.f64 x 4))))
(+.f64 (+.f64 2 (.f64 x x)) (.f64 1/12 (pow.f64 x 4)))
(+.f64 2 (fma.f64 x x (*.f64 1/12 (pow.f64 x 4))))
(fma.f64 x x (fma.f64 1/12 (pow.f64 x 4) 2))
(+.f64 2 (+.f64 (.f64 1/360 (pow.f64 x 6)) (+.f64 (pow.f64 x 2) (.f64 1/12 (pow.f64 x 4)))))
(+.f64 2 (fma.f64 1/360 (pow.f64 x 6) (+.f64 (.f64 x x) (.f64 1/12 (pow.f64 x 4)))))
(+.f64 2 (fma.f64 1/360 (pow.f64 x 6) (fma.f64 x x (*.f64 1/12 (pow.f64 x 4)))))
(fma.f64 1/360 (pow.f64 x 6) (fma.f64 x x (fma.f64 1/12 (pow.f64 x 4) 2)))
(+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x))
(+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x))
(+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x))
(+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x))
(+.f64 (exp.f64 x) (exp.f64 (*.f64 -1 x)))
(+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x))
(+.f64 (exp.f64 x) (exp.f64 (*.f64 -1 x)))
(+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x))
(+.f64 (exp.f64 x) (exp.f64 (*.f64 -1 x)))
(+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x))
(+.f64 (exp.f64 x) (exp.f64 (*.f64 -1 x)))
(+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x))
1
(+.f64 1 (*.f64 -1/2 (pow.f64 x 2)))
(+.f64 1 (.f64 (.f64 x x) -1/2))
(fma.f64 (*.f64 x x) -1/2 1)
(fma.f64 x (*.f64 x -1/2) 1)
(+.f64 1 (+.f64 (.f64 -1/2 (pow.f64 x 2)) (.f64 5/24 (pow.f64 x 4))))
(+.f64 1 (fma.f64 -1/2 (.f64 x x) (.f64 (pow.f64 x 4) 5/24)))
(+.f64 1 (fma.f64 (pow.f64 x 4) 5/24 (.f64 x (.f64 x -1/2))))
(fma.f64 (pow.f64 x 4) 5/24 (fma.f64 x (*.f64 x -1/2) 1))
(+.f64 1 (+.f64 (.f64 -1/2 (pow.f64 x 2)) (+.f64 (.f64 -61/720 (pow.f64 x 6)) (*.f64 5/24 (pow.f64 x 4)))))
(+.f64 1 (fma.f64 -1/2 (.f64 x x) (fma.f64 -61/720 (pow.f64 x 6) (.f64 (pow.f64 x 4) 5/24))))
(+.f64 1 (fma.f64 (.f64 x x) -1/2 (fma.f64 (pow.f64 x 4) 5/24 (.f64 (pow.f64 x 6) -61/720))))
(+.f64 1 (fma.f64 x (.f64 x -1/2) (fma.f64 (pow.f64 x 4) 5/24 (.f64 (pow.f64 x 6) -61/720))))
(+.f64 1 (fma.f64 (pow.f64 x 4) 5/24 (fma.f64 x (.f64 x -1/2) (.f64 (pow.f64 x 6) -61/720))))
(/.f64 2 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)))
(/.f64 1 (cosh.f64 x))
(/.f64 2 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)))
(/.f64 1 (cosh.f64 x))
(/.f64 2 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)))
(/.f64 1 (cosh.f64 x))
(/.f64 2 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)))
(/.f64 1 (cosh.f64 x))
(/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (*.f64 -1 x))))
(/.f64 2 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)))
(/.f64 1 (cosh.f64 x))
(/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (*.f64 -1 x))))
(/.f64 2 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)))
(/.f64 1 (cosh.f64 x))
(/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (*.f64 -1 x))))
(/.f64 2 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)))
(/.f64 1 (cosh.f64 x))
(/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (*.f64 -1 x))))
(/.f64 2 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)))
(/.f64 1 (cosh.f64 x))
(.f64 1 (.f64 2 (cosh.f64 x)))
(*.f64 2 (cosh.f64 x))
(.f64 (sqrt.f64 (.f64 2 (cosh.f64 x))) (sqrt.f64 (*.f64 2 (cosh.f64 x))))
(*.f64 2 (cosh.f64 x))
(.f64 (.f64 (cbrt.f64 (.f64 2 (cosh.f64 x))) (cbrt.f64 (.f64 2 (cosh.f64 x)))) (cbrt.f64 (*.f64 2 (cosh.f64 x))))
(*.f64 2 (cosh.f64 x))
(*.f64 2 (cosh.f64 x))
(/.f64 (-.f64 (.f64 (exp.f64 x) (exp.f64 x)) (.f64 (exp.f64 (neg.f64 x)) (exp.f64 (neg.f64 x)))) (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(*.f64 2 (cosh.f64 x))
(/.f64 (+.f64 (pow.f64 (exp.f64 x) 3) (pow.f64 (exp.f64 (neg.f64 x)) 3)) (+.f64 (.f64 (exp.f64 x) (exp.f64 x)) (-.f64 (.f64 (exp.f64 (neg.f64 x)) (exp.f64 (neg.f64 x))) (*.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))))
(/.f64 (+.f64 (pow.f64 (exp.f64 x) 3) (pow.f64 (exp.f64 (neg.f64 x)) 3)) (+.f64 (exp.f64 (+.f64 x x)) (*.f64 (exp.f64 (neg.f64 x)) (-.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)))))
(/.f64 (+.f64 (pow.f64 (exp.f64 x) 3) (pow.f64 (exp.f64 (neg.f64 x)) 3)) (+.f64 (exp.f64 (+.f64 x x)) (+.f64 -1 (exp.f64 (*.f64 x -2)))))
(/.f64 (+.f64 (pow.f64 (exp.f64 x) 3) (exp.f64 (.f64 x -3))) (+.f64 (pow.f64 (exp.f64 2) x) (expm1.f64 (.f64 x -2))))
(pow.f64 (*.f64 2 (cosh.f64 x)) 1)
(*.f64 2 (cosh.f64 x))
(log.f64 (exp.f64 (*.f64 2 (cosh.f64 x))))
(*.f64 2 (cosh.f64 x))
(cbrt.f64 (.f64 (.f64 (.f64 2 (cosh.f64 x)) (.f64 2 (cosh.f64 x))) (*.f64 2 (cosh.f64 x))))
(*.f64 2 (cosh.f64 x))
(expm1.f64 (log1p.f64 (*.f64 2 (cosh.f64 x))))
(*.f64 2 (cosh.f64 x))
(exp.f64 (log.f64 (*.f64 2 (cosh.f64 x))))
(*.f64 2 (cosh.f64 x))
(log1p.f64 (expm1.f64 (*.f64 2 (cosh.f64 x))))
(*.f64 2 (cosh.f64 x))
(.f64 2 (/.f64 1 (.f64 2 (cosh.f64 x))))
(/.f64 2 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)))
(/.f64 1 (cosh.f64 x))
(.f64 1 (/.f64 2 (.f64 2 (cosh.f64 x))))
(/.f64 2 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)))
(/.f64 1 (cosh.f64 x))
(.f64 (sqrt.f64 (/.f64 2 (.f64 2 (cosh.f64 x)))) (sqrt.f64 (/.f64 2 (*.f64 2 (cosh.f64 x)))))
(/.f64 2 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)))
(/.f64 1 (cosh.f64 x))
(.f64 (.f64 (cbrt.f64 (/.f64 2 (.f64 2 (cosh.f64 x)))) (cbrt.f64 (/.f64 2 (.f64 2 (cosh.f64 x))))) (cbrt.f64 (/.f64 2 (*.f64 2 (cosh.f64 x)))))
(/.f64 2 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)))
(/.f64 1 (cosh.f64 x))
(pow.f64 (/.f64 2 (*.f64 2 (cosh.f64 x))) 1)
(/.f64 2 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)))
(/.f64 1 (cosh.f64 x))
(log.f64 (exp.f64 (/.f64 2 (*.f64 2 (cosh.f64 x)))))
(/.f64 2 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)))
(/.f64 1 (cosh.f64 x))
(cbrt.f64 (.f64 (.f64 (/.f64 2 (.f64 2 (cosh.f64 x))) (/.f64 2 (.f64 2 (cosh.f64 x)))) (/.f64 2 (*.f64 2 (cosh.f64 x)))))
(/.f64 2 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)))
(/.f64 1 (cosh.f64 x))
(expm1.f64 (log1p.f64 (/.f64 2 (*.f64 2 (cosh.f64 x)))))
(/.f64 2 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)))
(/.f64 1 (cosh.f64 x))
(exp.f64 (log.f64 (/.f64 2 (*.f64 2 (cosh.f64 x)))))
(/.f64 2 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)))
(/.f64 1 (cosh.f64 x))
(log1p.f64 (expm1.f64 (/.f64 2 (*.f64 2 (cosh.f64 x)))))
(/.f64 2 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)))
(/.f64 1 (cosh.f64 x))

eval13.0ms (0.3%)

Compiler: Compiled 689 to 472 computations (31.5% saved)

prune11.0ms (0.2%)

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	50	6	56
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	51	6	57

Error

Counts

57 → 6

Alt Table

Click to see full alt table

Status	Error	Program
▶	17.3b	(/.f64 2 (+.f64 2 (*.f64 x x)))
▶	0.0b	(/.f64 1 (cosh.f64 x))
▶	32.2b	(+.f64 1 (.f64 (.f64 x x) -1/2))
▶	0.0b	(.f64 (.f64 (cbrt.f64 (/.f64 2 (.f64 2 (cosh.f64 x)))) (cbrt.f64 (/.f64 2 (.f64 2 (cosh.f64 x))))) (cbrt.f64 (/.f64 2 (*.f64 2 (cosh.f64 x)))))
▶	0.0b	(cbrt.f64 (.f64 (.f64 (/.f64 2 (.f64 2 (cosh.f64 x))) (/.f64 2 (.f64 2 (cosh.f64 x)))) (/.f64 2 (*.f64 2 (cosh.f64 x)))))
	31.7b	1

Compiler

Compiled 136 to 106 computations (22.1% saved)

localize4.0ms (0.1%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 9 to 5 computations (44.4% saved)

series3.0ms (0.1%)

Counts

2 → 24

Calls

6 calls:

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

rewrite52.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

1290×	`add-sqr-sqrt`
1272×	`*-un-lft-identity`
1180×	`add-cube-cbrt`
1166×	`add-cbrt-cube`
1156×	`add-exp-log`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	16
1	140	16
2	1630	16

Stop Event

1×	node limit

Counts

2 → 46

Calls

Call 1

Inputs
(/.f64 1 (cosh.f64 x))
(cosh.f64 x)

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

Outputs

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

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

simplify67.0ms (1.4%)

Algorithm

1×	egg-herbie

Rules

1376×	`associate-/r*`
1360×	`associate-+r+`
1234×	`associate-*r/`
786×	`unswap-sqr`
752×	`associate-*l/`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	121	1596
1	277	1450
2	1427	910
3	7672	910

Stop Event

1×	node limit

Counts

70 → 79

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 5/24 (pow.f64 x 4))))
(+.f64 1 (+.f64 (.f64 -1/2 (pow.f64 x 2)) (+.f64 (.f64 -61/720 (pow.f64 x 6)) (*.f64 5/24 (pow.f64 x 4)))))
(/.f64 2 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))
(/.f64 2 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))
(/.f64 2 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))
(/.f64 2 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))
(/.f64 2 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))
(/.f64 2 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))
(/.f64 2 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))
(/.f64 2 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))
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 1/2 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))
(*.f64 1/2 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))
(*.f64 1/2 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))
(*.f64 1/2 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))
(*.f64 1/2 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))
(*.f64 1/2 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))
(*.f64 1/2 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))
(*.f64 1/2 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))
(-.f64 (+.f64 1 (/.f64 1 (cosh.f64 x))) 1)
(*.f64 1 (/.f64 1 (cosh.f64 x)))
(*.f64 (/.f64 1 (cosh.f64 x)) 1)
(*.f64 (pow.f64 (cosh.f64 x) -1/2) (pow.f64 (cosh.f64 x) -1/2))
(*.f64 (cbrt.f64 (/.f64 1 (cosh.f64 x))) (cbrt.f64 (pow.f64 (cosh.f64 x) -2)))
(*.f64 (cbrt.f64 (pow.f64 (cosh.f64 x) -2)) (cbrt.f64 (/.f64 1 (cosh.f64 x))))
(*.f64 -1 (/.f64 1 (neg.f64 (cosh.f64 x))))
(.f64 (/.f64 1 (.f64 2 (cosh.f64 x))) 2)
(*.f64 (pow.f64 (sqrt.f64 (cosh.f64 x)) -1) (pow.f64 (sqrt.f64 (cosh.f64 x)) -1))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cosh.f64 x)) 2) -1) (pow.f64 (cbrt.f64 (cosh.f64 x)) -1))
(pow.f64 (cosh.f64 x) -1)
(pow.f64 (/.f64 1 (cosh.f64 x)) 1)
(pow.f64 (pow.f64 (cosh.f64 x) -1/2) 2)
(pow.f64 (cbrt.f64 (/.f64 1 (cosh.f64 x))) 3)
(pow.f64 (pow.f64 (/.f64 1 (cosh.f64 x)) 3) 1/3)
(sqrt.f64 (pow.f64 (cosh.f64 x) -2))
(log.f64 (exp.f64 (/.f64 1 (cosh.f64 x))))
(cbrt.f64 (pow.f64 (/.f64 1 (cosh.f64 x)) 3))
(expm1.f64 (log1p.f64 (/.f64 1 (cosh.f64 x))))
(exp.f64 (neg.f64 (log.f64 (cosh.f64 x))))
(log1p.f64 (expm1.f64 (/.f64 1 (cosh.f64 x))))
(-.f64 (+.f64 1 (cosh.f64 x)) 1)
(*.f64 1 (cosh.f64 x))
(*.f64 (cosh.f64 x) 1)
(*.f64 (sqrt.f64 (cosh.f64 x)) (sqrt.f64 (cosh.f64 x)))
(*.f64 (cbrt.f64 (cosh.f64 x)) (pow.f64 (cbrt.f64 (cosh.f64 x)) 2))
(*.f64 (pow.f64 (cbrt.f64 (cosh.f64 x)) 2) (cbrt.f64 (cosh.f64 x)))
(.f64 (.f64 2 (cosh.f64 x)) 1/2)
(/.f64 1 (/.f64 1 (cosh.f64 x)))
(/.f64 1 (/.f64 2 (*.f64 2 (cosh.f64 x))))
(/.f64 (cosh.f64 x) 1)
(/.f64 (sqrt.f64 (cosh.f64 x)) (pow.f64 (cosh.f64 x) -1/2))
(/.f64 (pow.f64 (cbrt.f64 (cosh.f64 x)) 2) (cbrt.f64 (/.f64 1 (cosh.f64 x))))
(/.f64 (neg.f64 (cosh.f64 x)) -1)
(/.f64 (*.f64 2 (cosh.f64 x)) 2)
(/.f64 (neg.f64 (*.f64 2 (cosh.f64 x))) -2)
(pow.f64 (cosh.f64 x) 1)
(pow.f64 (sqrt.f64 (cosh.f64 x)) 2)
(pow.f64 (cbrt.f64 (cosh.f64 x)) 3)
(pow.f64 (pow.f64 (cosh.f64 x) 3) 1/3)
(sqrt.f64 (pow.f64 (cosh.f64 x) 2))
(log.f64 (exp.f64 (cosh.f64 x)))
(cbrt.f64 (pow.f64 (cosh.f64 x) 3))
(expm1.f64 (log1p.f64 (cosh.f64 x)))
(exp.f64 (log.f64 (cosh.f64 x)))
(log1p.f64 (expm1.f64 (cosh.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 5/24 (pow.f64 x 4))))
(+.f64 1 (fma.f64 -1/2 (.f64 x x) (.f64 5/24 (pow.f64 x 4))))
(+.f64 (fma.f64 -1/2 (.f64 x x) 1) (.f64 5/24 (pow.f64 x 4)))
(fma.f64 -1/2 (*.f64 x x) (fma.f64 5/24 (pow.f64 x 4) 1))
(+.f64 1 (+.f64 (.f64 -1/2 (pow.f64 x 2)) (+.f64 (.f64 -61/720 (pow.f64 x 6)) (*.f64 5/24 (pow.f64 x 4)))))
(+.f64 1 (fma.f64 -1/2 (.f64 x x) (fma.f64 -61/720 (pow.f64 x 6) (.f64 5/24 (pow.f64 x 4)))))
(+.f64 (fma.f64 -1/2 (.f64 x x) 1) (fma.f64 5/24 (pow.f64 x 4) (.f64 -61/720 (pow.f64 x 6))))
(+.f64 (fma.f64 -61/720 (pow.f64 x 6) (.f64 -1/2 (.f64 x x))) (fma.f64 5/24 (pow.f64 x 4) 1))
(/.f64 2 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))
(/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(/.f64 1 (cosh.f64 x))
(/.f64 2 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))
(/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(/.f64 1 (cosh.f64 x))
(/.f64 2 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))
(/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(/.f64 1 (cosh.f64 x))
(/.f64 2 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))
(/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(/.f64 1 (cosh.f64 x))
(/.f64 2 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))
(/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(/.f64 1 (cosh.f64 x))
(/.f64 2 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))
(/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(/.f64 1 (cosh.f64 x))
(/.f64 2 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))
(/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(/.f64 1 (cosh.f64 x))
(/.f64 2 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))
(/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(/.f64 1 (cosh.f64 x))
1
(+.f64 1 (*.f64 1/2 (pow.f64 x 2)))
(+.f64 1 (.f64 (.f64 x x) 1/2))
(fma.f64 (*.f64 x x) 1/2 1)
(fma.f64 x (*.f64 x 1/2) 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 (pow.f64 x 4) 1/24)))
(+.f64 1 (fma.f64 (pow.f64 x 4) 1/24 (.f64 x (.f64 x 1/2))))
(fma.f64 x (*.f64 x 1/2) (fma.f64 (pow.f64 x 4) 1/24 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 (pow.f64 x 6) 1/720))))
(+.f64 (fma.f64 (.f64 x x) 1/2 1) (fma.f64 (pow.f64 x 4) 1/24 (.f64 (pow.f64 x 6) 1/720)))
(+.f64 (fma.f64 x (.f64 x 1/2) 1) (fma.f64 (pow.f64 x 6) 1/720 (.f64 (pow.f64 x 4) 1/24)))
(*.f64 1/2 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))
(*.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) 1/2)
(fma.f64 (exp.f64 x) 1/2 (/.f64 1/2 (exp.f64 x)))
(*.f64 1/2 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))
(*.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) 1/2)
(fma.f64 (exp.f64 x) 1/2 (/.f64 1/2 (exp.f64 x)))
(*.f64 1/2 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))
(*.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) 1/2)
(fma.f64 (exp.f64 x) 1/2 (/.f64 1/2 (exp.f64 x)))
(*.f64 1/2 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))
(*.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) 1/2)
(fma.f64 (exp.f64 x) 1/2 (/.f64 1/2 (exp.f64 x)))
(*.f64 1/2 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))
(*.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) 1/2)
(fma.f64 (exp.f64 x) 1/2 (/.f64 1/2 (exp.f64 x)))
(*.f64 1/2 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))
(*.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) 1/2)
(fma.f64 (exp.f64 x) 1/2 (/.f64 1/2 (exp.f64 x)))
(*.f64 1/2 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))
(*.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) 1/2)
(fma.f64 (exp.f64 x) 1/2 (/.f64 1/2 (exp.f64 x)))
(*.f64 1/2 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))
(*.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) 1/2)
(fma.f64 (exp.f64 x) 1/2 (/.f64 1/2 (exp.f64 x)))
(-.f64 (+.f64 1 (/.f64 1 (cosh.f64 x))) 1)
(/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(/.f64 1 (cosh.f64 x))
(*.f64 1 (/.f64 1 (cosh.f64 x)))
(/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(/.f64 1 (cosh.f64 x))
(*.f64 (/.f64 1 (cosh.f64 x)) 1)
(/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(/.f64 1 (cosh.f64 x))
(*.f64 (pow.f64 (cosh.f64 x) -1/2) (pow.f64 (cosh.f64 x) -1/2))
(/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(/.f64 1 (cosh.f64 x))
(*.f64 (cbrt.f64 (/.f64 1 (cosh.f64 x))) (cbrt.f64 (pow.f64 (cosh.f64 x) -2)))
(*.f64 (cbrt.f64 (pow.f64 (cosh.f64 x) -2)) (cbrt.f64 (/.f64 1 (cosh.f64 x))))
(*.f64 (cbrt.f64 (/.f64 1 (cosh.f64 x))) (cbrt.f64 (pow.f64 (cosh.f64 x) -2)))
(*.f64 -1 (/.f64 1 (neg.f64 (cosh.f64 x))))
(/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(/.f64 1 (cosh.f64 x))
(.f64 (/.f64 1 (.f64 2 (cosh.f64 x))) 2)
(/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(/.f64 1 (cosh.f64 x))
(*.f64 (pow.f64 (sqrt.f64 (cosh.f64 x)) -1) (pow.f64 (sqrt.f64 (cosh.f64 x)) -1))
(/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(/.f64 1 (cosh.f64 x))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cosh.f64 x)) 2) -1) (pow.f64 (cbrt.f64 (cosh.f64 x)) -1))
(/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(/.f64 1 (cosh.f64 x))
(pow.f64 (cosh.f64 x) -1)
(/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(/.f64 1 (cosh.f64 x))
(pow.f64 (/.f64 1 (cosh.f64 x)) 1)
(/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(/.f64 1 (cosh.f64 x))
(pow.f64 (pow.f64 (cosh.f64 x) -1/2) 2)
(/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(/.f64 1 (cosh.f64 x))
(pow.f64 (cbrt.f64 (/.f64 1 (cosh.f64 x))) 3)
(/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(/.f64 1 (cosh.f64 x))
(pow.f64 (pow.f64 (/.f64 1 (cosh.f64 x)) 3) 1/3)
(/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(/.f64 1 (cosh.f64 x))
(sqrt.f64 (pow.f64 (cosh.f64 x) -2))
(/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(/.f64 1 (cosh.f64 x))
(log.f64 (exp.f64 (/.f64 1 (cosh.f64 x))))
(/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(/.f64 1 (cosh.f64 x))
(cbrt.f64 (pow.f64 (/.f64 1 (cosh.f64 x)) 3))
(/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(/.f64 1 (cosh.f64 x))
(expm1.f64 (log1p.f64 (/.f64 1 (cosh.f64 x))))
(/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(/.f64 1 (cosh.f64 x))
(exp.f64 (neg.f64 (log.f64 (cosh.f64 x))))
(/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(/.f64 1 (cosh.f64 x))
(log1p.f64 (expm1.f64 (/.f64 1 (cosh.f64 x))))
(/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(/.f64 1 (cosh.f64 x))
(-.f64 (+.f64 1 (cosh.f64 x)) 1)
(+.f64 1 (-.f64 (cosh.f64 x) 1))
(+.f64 (cosh.f64 x) 0)
(cosh.f64 x)
(*.f64 1 (cosh.f64 x))
(+.f64 1 (-.f64 (cosh.f64 x) 1))
(+.f64 (cosh.f64 x) 0)
(cosh.f64 x)
(*.f64 (cosh.f64 x) 1)
(+.f64 1 (-.f64 (cosh.f64 x) 1))
(+.f64 (cosh.f64 x) 0)
(cosh.f64 x)
(*.f64 (sqrt.f64 (cosh.f64 x)) (sqrt.f64 (cosh.f64 x)))
(+.f64 1 (-.f64 (cosh.f64 x) 1))
(+.f64 (cosh.f64 x) 0)
(cosh.f64 x)
(*.f64 (cbrt.f64 (cosh.f64 x)) (pow.f64 (cbrt.f64 (cosh.f64 x)) 2))
(+.f64 1 (-.f64 (cosh.f64 x) 1))
(+.f64 (cosh.f64 x) 0)
(cosh.f64 x)
(*.f64 (pow.f64 (cbrt.f64 (cosh.f64 x)) 2) (cbrt.f64 (cosh.f64 x)))
(+.f64 1 (-.f64 (cosh.f64 x) 1))
(+.f64 (cosh.f64 x) 0)
(cosh.f64 x)
(.f64 (.f64 2 (cosh.f64 x)) 1/2)
(+.f64 1 (-.f64 (cosh.f64 x) 1))
(+.f64 (cosh.f64 x) 0)
(cosh.f64 x)
(/.f64 1 (/.f64 1 (cosh.f64 x)))
(+.f64 1 (-.f64 (cosh.f64 x) 1))
(+.f64 (cosh.f64 x) 0)
(cosh.f64 x)
(/.f64 1 (/.f64 2 (*.f64 2 (cosh.f64 x))))
(+.f64 1 (-.f64 (cosh.f64 x) 1))
(+.f64 (cosh.f64 x) 0)
(cosh.f64 x)
(/.f64 (cosh.f64 x) 1)
(+.f64 1 (-.f64 (cosh.f64 x) 1))
(+.f64 (cosh.f64 x) 0)
(cosh.f64 x)
(/.f64 (sqrt.f64 (cosh.f64 x)) (pow.f64 (cosh.f64 x) -1/2))
(/.f64 (pow.f64 (cbrt.f64 (cosh.f64 x)) 2) (cbrt.f64 (/.f64 1 (cosh.f64 x))))
(/.f64 (neg.f64 (cosh.f64 x)) -1)
(+.f64 1 (-.f64 (cosh.f64 x) 1))
(+.f64 (cosh.f64 x) 0)
(cosh.f64 x)
(/.f64 (*.f64 2 (cosh.f64 x)) 2)
(+.f64 1 (-.f64 (cosh.f64 x) 1))
(+.f64 (cosh.f64 x) 0)
(cosh.f64 x)
(/.f64 (neg.f64 (*.f64 2 (cosh.f64 x))) -2)
(+.f64 1 (-.f64 (cosh.f64 x) 1))
(+.f64 (cosh.f64 x) 0)
(cosh.f64 x)
(pow.f64 (cosh.f64 x) 1)
(+.f64 1 (-.f64 (cosh.f64 x) 1))
(+.f64 (cosh.f64 x) 0)
(cosh.f64 x)
(pow.f64 (sqrt.f64 (cosh.f64 x)) 2)
(+.f64 1 (-.f64 (cosh.f64 x) 1))
(+.f64 (cosh.f64 x) 0)
(cosh.f64 x)
(pow.f64 (cbrt.f64 (cosh.f64 x)) 3)
(+.f64 1 (-.f64 (cosh.f64 x) 1))
(+.f64 (cosh.f64 x) 0)
(cosh.f64 x)
(pow.f64 (pow.f64 (cosh.f64 x) 3) 1/3)
(+.f64 1 (-.f64 (cosh.f64 x) 1))
(+.f64 (cosh.f64 x) 0)
(cosh.f64 x)
(sqrt.f64 (pow.f64 (cosh.f64 x) 2))
(+.f64 1 (-.f64 (cosh.f64 x) 1))
(+.f64 (cosh.f64 x) 0)
(cosh.f64 x)
(log.f64 (exp.f64 (cosh.f64 x)))
(+.f64 1 (-.f64 (cosh.f64 x) 1))
(+.f64 (cosh.f64 x) 0)
(cosh.f64 x)
(cbrt.f64 (pow.f64 (cosh.f64 x) 3))
(+.f64 1 (-.f64 (cosh.f64 x) 1))
(+.f64 (cosh.f64 x) 0)
(cosh.f64 x)
(expm1.f64 (log1p.f64 (cosh.f64 x)))
(+.f64 1 (-.f64 (cosh.f64 x) 1))
(+.f64 (cosh.f64 x) 0)
(cosh.f64 x)
(exp.f64 (log.f64 (cosh.f64 x)))
(+.f64 1 (-.f64 (cosh.f64 x) 1))
(+.f64 (cosh.f64 x) 0)
(cosh.f64 x)
(log1p.f64 (expm1.f64 (cosh.f64 x)))
(+.f64 1 (-.f64 (cosh.f64 x) 1))
(+.f64 (cosh.f64 x) 0)
(cosh.f64 x)

localize6.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 19 to 10 computations (47.4% saved)

series1.0ms (0%)

Counts

1 → 12

Calls

3 calls:

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

rewrite50.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

1074×	`add-sqr-sqrt`
1056×	`*-un-lft-identity`
1004×	`pow1`
984×	`add-cube-cbrt`
976×	`add-cbrt-cube`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	13
1	122	13
2	1407	13

Stop Event

1×	node limit

Counts

1 → 11

Calls

Call 1

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

Outputs

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

simplify39.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

1650×	`distribute-rgt-in`
1626×	`distribute-lft-in`
1316×	`log-prod`
928×	`associate-r`
822×	`associate-+r+`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	38	299
1	92	299
2	360	299
3	2121	299

Stop Event

1×	node limit

Counts

23 → 13

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

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

localize6.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.2b	(/.f64 2 (+.f64 2 (*.f64 x x)))

Compiler

Compiled 18 to 9 computations (50% saved)

series1.0ms (0%)

Counts

1 → 12

Calls

3 calls:

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

rewrite51.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

1624×	`add-sqr-sqrt`
1596×	`*-un-lft-identity`
1500×	`add-cube-cbrt`
1490×	`add-cbrt-cube`
154×	`pow1`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	7	19
1	157	15
2	2039	15

Stop Event

1×	node limit

Counts

1 → 24

Calls

Call 1

Inputs
(/.f64 2 (+.f64 2 (*.f64 x x)))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 2 (fma.f64 x x 2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (/.f64 1 (fma.f64 x x 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 2 (fma.f64 x x 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 2 (fma.f64 x x 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 2 (fma.f64 x x 2))) (sqrt.f64 (/.f64 2 (fma.f64 x x 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 2 (fma.f64 x x 2))) (pow.f64 (cbrt.f64 (/.f64 2 (fma.f64 x x 2))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 2 (fma.f64 x x 2))) 2) (cbrt.f64 (/.f64 2 (fma.f64 x x 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (fma.f64 x x 2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -2 (/.f64 1 (neg.f64 (fma.f64 x x 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 2 (-.f64 4 (pow.f64 x 4))) (-.f64 2 (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 2 (+.f64 8 (pow.f64 x 6))) (+.f64 4 (*.f64 (*.f64 x x) (-.f64 (*.f64 x x) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 2 (fma.f64 x x 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 2 (fma.f64 x x 2))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 2 (fma.f64 x x 2))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 2 (fma.f64 x x 2)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (fma.f64 x x 2) 1/2) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (/.f64 4 (pow.f64 (fma.f64 x x 2) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 2 (fma.f64 x x 2))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 2 (fma.f64 x x 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 2 (fma.f64 x x 2)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 2 (fma.f64 x x 2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 2 (fma.f64 x x 2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 2 (fma.f64 x x 2))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 2 (fma.f64 x x 2))))))))

simplify50.0ms (1%)

Algorithm

1×	egg-herbie

Rules

1628×	`associate-/l*`
1470×	`associate-/r*`
1322×	`associate-r`
1102×	`associate-l`
888×	`associate-+r+`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	98	848
1	237	840
2	841	836
3	4306	836

Stop Event

1×	node limit

Counts

36 → 57

Calls

Call 1

Inputs
1
(+.f64 1 (*.f64 -1/2 (pow.f64 x 2)))
(+.f64 1 (+.f64 (.f64 1/4 (pow.f64 x 4)) (.f64 -1/2 (pow.f64 x 2))))
(+.f64 1 (+.f64 (.f64 1/4 (pow.f64 x 4)) (+.f64 (.f64 -1/2 (pow.f64 x 2)) (*.f64 -1/8 (pow.f64 x 6)))))
(/.f64 2 (pow.f64 x 2))
(-.f64 (.f64 2 (/.f64 1 (pow.f64 x 2))) (.f64 4 (/.f64 1 (pow.f64 x 4))))
(-.f64 (+.f64 (.f64 8 (/.f64 1 (pow.f64 x 6))) (.f64 2 (/.f64 1 (pow.f64 x 2)))) (*.f64 4 (/.f64 1 (pow.f64 x 4))))
(-.f64 (+.f64 (.f64 8 (/.f64 1 (pow.f64 x 6))) (.f64 2 (/.f64 1 (pow.f64 x 2)))) (+.f64 (.f64 4 (/.f64 1 (pow.f64 x 4))) (.f64 16 (/.f64 1 (pow.f64 x 8)))))
(/.f64 2 (pow.f64 x 2))
(-.f64 (.f64 2 (/.f64 1 (pow.f64 x 2))) (.f64 4 (/.f64 1 (pow.f64 x 4))))
(-.f64 (+.f64 (.f64 8 (/.f64 1 (pow.f64 x 6))) (.f64 2 (/.f64 1 (pow.f64 x 2)))) (*.f64 4 (/.f64 1 (pow.f64 x 4))))
(-.f64 (+.f64 (.f64 8 (/.f64 1 (pow.f64 x 6))) (.f64 2 (/.f64 1 (pow.f64 x 2)))) (+.f64 (.f64 4 (/.f64 1 (pow.f64 x 4))) (.f64 16 (/.f64 1 (pow.f64 x 8)))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 2 (fma.f64 x x 2)))) 1)
(*.f64 2 (/.f64 1 (fma.f64 x x 2)))
(*.f64 (/.f64 2 (fma.f64 x x 2)) 1)
(*.f64 1 (/.f64 2 (fma.f64 x x 2)))
(*.f64 (sqrt.f64 (/.f64 2 (fma.f64 x x 2))) (sqrt.f64 (/.f64 2 (fma.f64 x x 2))))
(*.f64 (cbrt.f64 (/.f64 2 (fma.f64 x x 2))) (pow.f64 (cbrt.f64 (/.f64 2 (fma.f64 x x 2))) 2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 2 (fma.f64 x x 2))) 2) (cbrt.f64 (/.f64 2 (fma.f64 x x 2))))
(*.f64 (/.f64 1 (fma.f64 x x 2)) 2)
(*.f64 -2 (/.f64 1 (neg.f64 (fma.f64 x x 2))))
(.f64 (/.f64 2 (-.f64 4 (pow.f64 x 4))) (-.f64 2 (.f64 x x)))
(.f64 (/.f64 2 (+.f64 8 (pow.f64 x 6))) (+.f64 4 (.f64 (.f64 x x) (-.f64 (.f64 x x) 2))))
(pow.f64 (/.f64 2 (fma.f64 x x 2)) 1)
(pow.f64 (sqrt.f64 (/.f64 2 (fma.f64 x x 2))) 2)
(pow.f64 (cbrt.f64 (/.f64 2 (fma.f64 x x 2))) 3)
(pow.f64 (pow.f64 (/.f64 2 (fma.f64 x x 2)) 3) 1/3)
(pow.f64 (*.f64 (fma.f64 x x 2) 1/2) -1)
(sqrt.f64 (/.f64 4 (pow.f64 (fma.f64 x x 2) 2)))
(log.f64 (exp.f64 (/.f64 2 (fma.f64 x x 2))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 2 (fma.f64 x x 2)))))
(cbrt.f64 (pow.f64 (/.f64 2 (fma.f64 x x 2)) 3))
(expm1.f64 (log1p.f64 (/.f64 2 (fma.f64 x x 2))))
(exp.f64 (log.f64 (/.f64 2 (fma.f64 x x 2))))
(exp.f64 (*.f64 (log.f64 (/.f64 2 (fma.f64 x x 2))) 1))
(log1p.f64 (expm1.f64 (/.f64 2 (fma.f64 x x 2))))

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 1/4 (pow.f64 x 4)) (.f64 -1/2 (pow.f64 x 2))))
(+.f64 1 (fma.f64 1/4 (pow.f64 x 4) (.f64 -1/2 (.f64 x x))))
(+.f64 1 (fma.f64 -1/2 (.f64 x x) (.f64 1/4 (pow.f64 x 4))))
(fma.f64 -1/2 (*.f64 x x) (fma.f64 1/4 (pow.f64 x 4) 1))
(+.f64 1 (+.f64 (.f64 1/4 (pow.f64 x 4)) (+.f64 (.f64 -1/2 (pow.f64 x 2)) (*.f64 -1/8 (pow.f64 x 6)))))
(+.f64 1 (fma.f64 1/4 (pow.f64 x 4) (fma.f64 -1/2 (.f64 x x) (.f64 -1/8 (pow.f64 x 6)))))
(+.f64 1 (fma.f64 -1/2 (.f64 x x) (fma.f64 1/4 (pow.f64 x 4) (.f64 -1/8 (pow.f64 x 6)))))
(+.f64 (fma.f64 -1/2 (.f64 x x) 1) (fma.f64 1/4 (pow.f64 x 4) (.f64 -1/8 (pow.f64 x 6))))
(/.f64 2 (pow.f64 x 2))
(/.f64 2 (*.f64 x x))
(/.f64 (/.f64 2 x) x)
(-.f64 (.f64 2 (/.f64 1 (pow.f64 x 2))) (.f64 4 (/.f64 1 (pow.f64 x 4))))
(-.f64 (/.f64 2 (*.f64 x x)) (/.f64 4 (pow.f64 x 4)))
(+.f64 (/.f64 2 (*.f64 x x)) (/.f64 -4 (pow.f64 x 4)))
(+.f64 (/.f64 (/.f64 2 x) x) (/.f64 -4 (pow.f64 x 4)))
(-.f64 (+.f64 (.f64 8 (/.f64 1 (pow.f64 x 6))) (.f64 2 (/.f64 1 (pow.f64 x 2)))) (*.f64 4 (/.f64 1 (pow.f64 x 4))))
(+.f64 (/.f64 8 (pow.f64 x 6)) (-.f64 (/.f64 2 (*.f64 x x)) (/.f64 4 (pow.f64 x 4))))
(+.f64 (/.f64 2 (*.f64 x x)) (+.f64 (/.f64 8 (pow.f64 x 6)) (/.f64 -4 (pow.f64 x 4))))
(+.f64 (+.f64 (/.f64 (/.f64 2 x) x) (/.f64 -4 (pow.f64 x 4))) (/.f64 8 (pow.f64 x 6)))
(-.f64 (+.f64 (.f64 8 (/.f64 1 (pow.f64 x 6))) (.f64 2 (/.f64 1 (pow.f64 x 2)))) (+.f64 (.f64 4 (/.f64 1 (pow.f64 x 4))) (.f64 16 (/.f64 1 (pow.f64 x 8)))))
(-.f64 (+.f64 (/.f64 2 (*.f64 x x)) (/.f64 8 (pow.f64 x 6))) (+.f64 (/.f64 4 (pow.f64 x 4)) (/.f64 16 (pow.f64 x 8))))
(+.f64 (/.f64 2 (*.f64 x x)) (-.f64 (/.f64 8 (pow.f64 x 6)) (+.f64 (/.f64 4 (pow.f64 x 4)) (/.f64 16 (pow.f64 x 8)))))
(+.f64 (+.f64 (/.f64 (/.f64 2 x) x) (/.f64 -4 (pow.f64 x 4))) (+.f64 (/.f64 8 (pow.f64 x 6)) (/.f64 -16 (pow.f64 x 8))))
(/.f64 2 (pow.f64 x 2))
(/.f64 2 (*.f64 x x))
(/.f64 (/.f64 2 x) x)
(-.f64 (.f64 2 (/.f64 1 (pow.f64 x 2))) (.f64 4 (/.f64 1 (pow.f64 x 4))))
(-.f64 (/.f64 2 (*.f64 x x)) (/.f64 4 (pow.f64 x 4)))
(+.f64 (/.f64 2 (*.f64 x x)) (/.f64 -4 (pow.f64 x 4)))
(+.f64 (/.f64 (/.f64 2 x) x) (/.f64 -4 (pow.f64 x 4)))
(-.f64 (+.f64 (.f64 8 (/.f64 1 (pow.f64 x 6))) (.f64 2 (/.f64 1 (pow.f64 x 2)))) (*.f64 4 (/.f64 1 (pow.f64 x 4))))
(+.f64 (/.f64 8 (pow.f64 x 6)) (-.f64 (/.f64 2 (*.f64 x x)) (/.f64 4 (pow.f64 x 4))))
(+.f64 (/.f64 2 (*.f64 x x)) (+.f64 (/.f64 8 (pow.f64 x 6)) (/.f64 -4 (pow.f64 x 4))))
(+.f64 (+.f64 (/.f64 (/.f64 2 x) x) (/.f64 -4 (pow.f64 x 4))) (/.f64 8 (pow.f64 x 6)))
(-.f64 (+.f64 (.f64 8 (/.f64 1 (pow.f64 x 6))) (.f64 2 (/.f64 1 (pow.f64 x 2)))) (+.f64 (.f64 4 (/.f64 1 (pow.f64 x 4))) (.f64 16 (/.f64 1 (pow.f64 x 8)))))
(-.f64 (+.f64 (/.f64 2 (*.f64 x x)) (/.f64 8 (pow.f64 x 6))) (+.f64 (/.f64 4 (pow.f64 x 4)) (/.f64 16 (pow.f64 x 8))))
(+.f64 (/.f64 2 (*.f64 x x)) (-.f64 (/.f64 8 (pow.f64 x 6)) (+.f64 (/.f64 4 (pow.f64 x 4)) (/.f64 16 (pow.f64 x 8)))))
(+.f64 (+.f64 (/.f64 (/.f64 2 x) x) (/.f64 -4 (pow.f64 x 4))) (+.f64 (/.f64 8 (pow.f64 x 6)) (/.f64 -16 (pow.f64 x 8))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 2 (fma.f64 x x 2)))) 1)
(/.f64 2 (fma.f64 x x 2))
(*.f64 2 (/.f64 1 (fma.f64 x x 2)))
(/.f64 2 (fma.f64 x x 2))
(*.f64 (/.f64 2 (fma.f64 x x 2)) 1)
(/.f64 2 (fma.f64 x x 2))
(*.f64 1 (/.f64 2 (fma.f64 x x 2)))
(/.f64 2 (fma.f64 x x 2))
(*.f64 (sqrt.f64 (/.f64 2 (fma.f64 x x 2))) (sqrt.f64 (/.f64 2 (fma.f64 x x 2))))
(/.f64 2 (fma.f64 x x 2))
(*.f64 (cbrt.f64 (/.f64 2 (fma.f64 x x 2))) (pow.f64 (cbrt.f64 (/.f64 2 (fma.f64 x x 2))) 2))
(/.f64 2 (fma.f64 x x 2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 2 (fma.f64 x x 2))) 2) (cbrt.f64 (/.f64 2 (fma.f64 x x 2))))
(/.f64 2 (fma.f64 x x 2))
(*.f64 (/.f64 1 (fma.f64 x x 2)) 2)
(/.f64 2 (fma.f64 x x 2))
(*.f64 -2 (/.f64 1 (neg.f64 (fma.f64 x x 2))))
(/.f64 2 (fma.f64 x x 2))
(.f64 (/.f64 2 (-.f64 4 (pow.f64 x 4))) (-.f64 2 (.f64 x x)))
(/.f64 (.f64 2 (-.f64 2 (.f64 x x))) (-.f64 4 (pow.f64 x 4)))
(/.f64 2 (/.f64 (-.f64 4 (pow.f64 x 4)) (-.f64 2 (*.f64 x x))))
(.f64 (/.f64 2 (+.f64 8 (pow.f64 x 6))) (+.f64 4 (.f64 (.f64 x x) (-.f64 (.f64 x x) 2))))
(.f64 (/.f64 2 (+.f64 (pow.f64 x 6) 8)) (+.f64 4 (.f64 x (*.f64 x (fma.f64 x x -2)))))
(.f64 (/.f64 2 (+.f64 (pow.f64 x 6) 8)) (fma.f64 x (.f64 x (fma.f64 x x -2)) 4))
(/.f64 (.f64 2 (fma.f64 x (.f64 x (fma.f64 x x -2)) 4)) (+.f64 (pow.f64 x 6) 8))
(pow.f64 (/.f64 2 (fma.f64 x x 2)) 1)
(/.f64 2 (fma.f64 x x 2))
(pow.f64 (sqrt.f64 (/.f64 2 (fma.f64 x x 2))) 2)
(/.f64 2 (fma.f64 x x 2))
(pow.f64 (cbrt.f64 (/.f64 2 (fma.f64 x x 2))) 3)
(/.f64 2 (fma.f64 x x 2))
(pow.f64 (pow.f64 (/.f64 2 (fma.f64 x x 2)) 3) 1/3)
(/.f64 2 (fma.f64 x x 2))
(pow.f64 (*.f64 (fma.f64 x x 2) 1/2) -1)
(/.f64 2 (fma.f64 x x 2))
(sqrt.f64 (/.f64 4 (pow.f64 (fma.f64 x x 2) 2)))
(log.f64 (exp.f64 (/.f64 2 (fma.f64 x x 2))))
(/.f64 2 (fma.f64 x x 2))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 2 (fma.f64 x x 2)))))
(/.f64 2 (fma.f64 x x 2))
(cbrt.f64 (pow.f64 (/.f64 2 (fma.f64 x x 2)) 3))
(/.f64 2 (fma.f64 x x 2))
(expm1.f64 (log1p.f64 (/.f64 2 (fma.f64 x x 2))))
(/.f64 2 (fma.f64 x x 2))
(exp.f64 (log.f64 (/.f64 2 (fma.f64 x x 2))))
(/.f64 2 (fma.f64 x x 2))
(exp.f64 (*.f64 (log.f64 (/.f64 2 (fma.f64 x x 2))) 1))
(/.f64 2 (fma.f64 x x 2))
(log1p.f64 (expm1.f64 (/.f64 2 (fma.f64 x x 2))))
(/.f64 2 (fma.f64 x x 2))

localize22.0ms (0.4%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.0b	(cosh.f64 x)
✓	0.0b	(cbrt.f64 (.f64 (.f64 (/.f64 2 (.f64 2 (cosh.f64 x))) (/.f64 2 (.f64 2 (cosh.f64 x)))) (/.f64 2 (*.f64 2 (cosh.f64 x)))))
✓	0.0b	(.f64 (/.f64 2 (.f64 2 (cosh.f64 x))) (/.f64 2 (*.f64 2 (cosh.f64 x))))
✓	0.0b	(/.f64 2 (*.f64 2 (cosh.f64 x)))

Compiler

Compiled 69 to 47 computations (31.9% saved)

series4.0ms (0.1%)

Counts

3 → 36

Calls

9 calls:

Time	Variable		Point	Expression
2.0ms	x	@	-inf	(.f64 (/.f64 2 (.f64 2 (cosh.f64 x))) (/.f64 2 (*.f64 2 (cosh.f64 x))))
1.0ms	x	@	inf	(.f64 (/.f64 2 (.f64 2 (cosh.f64 x))) (/.f64 2 (*.f64 2 (cosh.f64 x))))
0.0ms	x	@	0	(.f64 (/.f64 2 (.f64 2 (cosh.f64 x))) (/.f64 2 (*.f64 2 (cosh.f64 x))))
0.0ms	x	@	0	(/.f64 2 (*.f64 2 (cosh.f64 x)))
0.0ms	x	@	0	(cbrt.f64 (.f64 (.f64 (/.f64 2 (.f64 2 (cosh.f64 x))) (/.f64 2 (.f64 2 (cosh.f64 x)))) (/.f64 2 (*.f64 2 (cosh.f64 x)))))

rewrite90.0ms (1.8%)

Algorithm

1×	batch-egg-rewrite

Rules

1416×	`associate-*l/`
1092×	`associate-/r*`
876×	`*-commutative`
680×	`associate-/l*`
618×	`unswap-sqr`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	39
1	227	39
2	2781	39

Stop Event

1×	node limit

Counts

3 → 299

Calls

Call 1

Inputs

(/.f64 2 (*.f64 2 (cosh.f64 x)))

(*.f64 (/.f64 2 (*.f64 2 (cosh.f64 x))) (/.f64 2 (*.f64 2 (cosh.f64 x))))

(cbrt.f64 (*.f64 (*.f64 (/.f64 2 (*.f64 2 (cosh.f64 x))) (/.f64 2 (*.f64 2 (cosh.f64 x)))) (/.f64 2 (*.f64 2 (cosh.f64 x)))))

Outputs

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(2) ((x expm1.f64 (log1p.f64 (/.f64 1 (cosh.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (neg.f64 (log.f64 (cosh.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 1 (cosh.f64 x))))))))

simplify134.0ms (2.7%)

Algorithm

1×	egg-herbie

Rules

1272×	`associate-/l*`
1244×	`associate-/l/`
846×	`distribute-lft-in`
844×	`distribute-rgt-in`
704×	`associate-/r*`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	606	10549
1	1484	9831
2	6709	9831

Stop Event

1×	node limit

Counts

335 → 399

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 5/24 (pow.f64 x 4))))
(+.f64 1 (+.f64 (.f64 -1/2 (pow.f64 x 2)) (+.f64 (.f64 -61/720 (pow.f64 x 6)) (*.f64 5/24 (pow.f64 x 4)))))
(/.f64 2 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))
(/.f64 2 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))
(/.f64 2 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))
(/.f64 2 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))
(/.f64 2 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))
(/.f64 2 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))
(/.f64 2 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))
(/.f64 2 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))
1
(+.f64 1 (*.f64 -1 (pow.f64 x 2)))
(+.f64 (.f64 2/3 (pow.f64 x 4)) (+.f64 1 (.f64 -1 (pow.f64 x 2))))
(+.f64 (.f64 2/3 (pow.f64 x 4)) (+.f64 1 (+.f64 (.f64 -1 (pow.f64 x 2)) (*.f64 -17/45 (pow.f64 x 6)))))
(/.f64 4 (pow.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) 2))
(/.f64 4 (pow.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) 2))
(/.f64 4 (pow.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) 2))
(/.f64 4 (pow.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) 2))
(/.f64 4 (pow.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) 2))
(/.f64 4 (pow.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) 2))
(/.f64 4 (pow.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) 2))
(/.f64 4 (pow.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) 2))
1
(+.f64 1 (*.f64 -1/2 (pow.f64 x 2)))
(+.f64 1 (+.f64 (.f64 -1/2 (pow.f64 x 2)) (.f64 5/24 (pow.f64 x 4))))
(+.f64 1 (+.f64 (.f64 -1/2 (pow.f64 x 2)) (+.f64 (.f64 -61/720 (pow.f64 x 6)) (*.f64 5/24 (pow.f64 x 4)))))
(/.f64 2 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))
(/.f64 2 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))
(/.f64 2 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))
(/.f64 2 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))
(/.f64 2 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))
(/.f64 2 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))
(/.f64 2 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))
(/.f64 2 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 1 (cosh.f64 x)))) 1)
(*.f64 2 (/.f64 1/2 (cosh.f64 x)))
(*.f64 (/.f64 1 (cosh.f64 x)) 1)
(*.f64 (/.f64 1 (cosh.f64 x)) (pow.f64 1 1/3))
(*.f64 1 (/.f64 1 (cosh.f64 x)))
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(/.f64 (/.f64 (/.f64 2 (.f64 (cbrt.f64 (.f64 (pow.f64 (cosh.f64 x) 2) 4)) (cosh.f64 x))) (cbrt.f64 (sqrt.f64 (.f64 2 (cosh.f64 x))))) (cbrt.f64 (sqrt.f64 (.f64 2 (cosh.f64 x)))))
(/.f64 (/.f64 (/.f64 2 (.f64 (cbrt.f64 (.f64 (pow.f64 (cosh.f64 x) 2) 4)) (cosh.f64 x))) (cbrt.f64 (cbrt.f64 (.f64 (pow.f64 (cosh.f64 x) 2) 4)))) (cbrt.f64 (cbrt.f64 (.f64 2 (cosh.f64 x)))))
(pow.f64 (/.f64 1 (cosh.f64 x)) 2)
(pow.f64 (/.f64 1 (pow.f64 (cosh.f64 x) 2)) 1)
(pow.f64 (pow.f64 (/.f64 1 (cosh.f64 x)) 3) 2/3)
(pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 (cosh.f64 x)) 2)) 3)
(pow.f64 (pow.f64 (/.f64 1 (cosh.f64 x)) 6) 1/3)
(neg.f64 (/.f64 (/.f64 2 (cosh.f64 x)) (*.f64 (cosh.f64 x) -2)))
(sqrt.f64 (pow.f64 (/.f64 1 (cosh.f64 x)) 4))
(log.f64 (exp.f64 (/.f64 1 (pow.f64 (cosh.f64 x) 2))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (pow.f64 (cosh.f64 x) 2)))))
(cbrt.f64 (pow.f64 (/.f64 1 (cosh.f64 x)) 6))
(expm1.f64 (log1p.f64 (/.f64 1 (pow.f64 (cosh.f64 x) 2))))
(exp.f64 (neg.f64 (*.f64 2 (log.f64 (cosh.f64 x)))))
(log1p.f64 (expm1.f64 (/.f64 1 (pow.f64 (cosh.f64 x) 2))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 1 (cosh.f64 x)))) 1)
(*.f64 2 (/.f64 1/2 (cosh.f64 x)))
(*.f64 (/.f64 1 (cosh.f64 x)) 1)
(*.f64 (/.f64 1 (cosh.f64 x)) (pow.f64 1 1/3))
(*.f64 1 (/.f64 1 (cosh.f64 x)))
(*.f64 (sqrt.f64 (/.f64 1 (cosh.f64 x))) (sqrt.f64 (/.f64 1 (cosh.f64 x))))
(*.f64 (/.f64 1 (cbrt.f64 (cosh.f64 x))) (/.f64 1 (pow.f64 (cbrt.f64 (cosh.f64 x)) 2)))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (cosh.f64 x)) 2)) (/.f64 1 (cbrt.f64 (cosh.f64 x))))
(*.f64 (/.f64 1/2 (cosh.f64 x)) 2)
(*.f64 -2 (/.f64 -1/2 (cosh.f64 x)))
(*.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (/.f64 1 (cosh.f64 x)) 4))) (sqrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 (cosh.f64 x)) 2))))
(*.f64 (sqrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 (cosh.f64 x)) 2))) (sqrt.f64 (cbrt.f64 (pow.f64 (/.f64 1 (cosh.f64 x)) 4))))
(*.f64 1/2 (/.f64 2 (cosh.f64 x)))
(.f64 (/.f64 1 (sqrt.f64 (.f64 2 (cosh.f64 x)))) (/.f64 2 (sqrt.f64 (*.f64 2 (cosh.f64 x)))))
(.f64 (/.f64 1 (cbrt.f64 (.f64 (pow.f64 (cosh.f64 x) 2) 4))) (/.f64 2 (cbrt.f64 (*.f64 2 (cosh.f64 x)))))
(*.f64 (/.f64 -1/2 (cosh.f64 x)) -2)
(*.f64 (pow.f64 1 1/3) (/.f64 1 (cosh.f64 x)))
(*.f64 (pow.f64 (pow.f64 (/.f64 1 (cosh.f64 x)) 3/2) 1/3) (pow.f64 (pow.f64 (/.f64 1 (cosh.f64 x)) 3/2) 1/3))
(.f64 (/.f64 2 (-.f64 (.f64 (exp.f64 x) (exp.f64 x)) (/.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)))) (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(.f64 (/.f64 2 (+.f64 (pow.f64 (exp.f64 x) 3) (pow.f64 (exp.f64 (neg.f64 x)) 3))) (+.f64 (.f64 (exp.f64 x) (exp.f64 x)) (*.f64 (exp.f64 (neg.f64 x)) (-.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)))))
(.f64 (/.f64 (sqrt.f64 (/.f64 1 (cosh.f64 x))) (sqrt.f64 (.f64 2 (cosh.f64 x)))) (sqrt.f64 2))
(.f64 (/.f64 (/.f64 1 (pow.f64 (cbrt.f64 (cosh.f64 x)) 2)) (cbrt.f64 (.f64 2 (cosh.f64 x)))) (cbrt.f64 2))
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(.f64 (.f64 (cbrt.f64 (sqrt.f64 (/.f64 1 (cosh.f64 x)))) (sqrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 (cosh.f64 x)) 2)))) (*.f64 (cbrt.f64 (sqrt.f64 (/.f64 1 (cosh.f64 x)))) (sqrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 (cosh.f64 x)) 2)))))
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(/.f64 2 (*.f64 2 (cosh.f64 x)))
(/.f64 (/.f64 1 (cosh.f64 x)) 1)
(/.f64 1 (cosh.f64 x))
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(/.f64 (sqrt.f64 (/.f64 1 (cosh.f64 x))) (/.f64 2 (/.f64 2 (sqrt.f64 (cosh.f64 x)))))
(/.f64 (sqrt.f64 2) (/.f64 (sqrt.f64 (cosh.f64 x)) (sqrt.f64 (/.f64 1/2 (cosh.f64 x)))))
(/.f64 (sqrt.f64 2) (.f64 (sqrt.f64 (cosh.f64 x)) (sqrt.f64 (.f64 2 (cosh.f64 x)))))
(/.f64 (/.f64 1 (cbrt.f64 (cosh.f64 x))) (pow.f64 (cbrt.f64 (cosh.f64 x)) 2))
(/.f64 (/.f64 1 (cbrt.f64 (cosh.f64 x))) (/.f64 1 (/.f64 1 (pow.f64 (cbrt.f64 (cosh.f64 x)) 2))))
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(/.f64 (/.f64 1 (pow.f64 (cbrt.f64 (cosh.f64 x)) 2)) (cbrt.f64 (cosh.f64 x)))
(/.f64 (/.f64 1 (pow.f64 (cbrt.f64 (cosh.f64 x)) 2)) (/.f64 2 (/.f64 2 (cbrt.f64 (cosh.f64 x)))))
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(/.f64 4 (/.f64 2 (/.f64 1/2 (cosh.f64 x))))
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(/.f64 (/.f64 1/2 (cosh.f64 x)) 1/2)
(/.f64 -2 (*.f64 (cosh.f64 x) -2))
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(/.f64 (sqrt.f64 (/.f64 2 (cosh.f64 x))) (/.f64 2 (sqrt.f64 (/.f64 2 (cosh.f64 x)))))
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(/.f64 (sqrt.f64 (sqrt.f64 (/.f64 1 (cosh.f64 x)))) (/.f64 (sqrt.f64 (cosh.f64 x)) (sqrt.f64 (sqrt.f64 (/.f64 1 (cosh.f64 x))))))
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(/.f64 (sqrt.f64 -2) (.f64 (sqrt.f64 (cosh.f64 x)) (sqrt.f64 (.f64 (cosh.f64 x) -2))))
(/.f64 (*.f64 (cbrt.f64 (/.f64 2 (cosh.f64 x))) (cbrt.f64 (/.f64 2 (cosh.f64 x)))) (/.f64 2 (cbrt.f64 (/.f64 2 (cosh.f64 x)))))
(/.f64 (cbrt.f64 (/.f64 2 (pow.f64 (cosh.f64 x) 2))) (cbrt.f64 (*.f64 2 (cosh.f64 x))))
(/.f64 (/.f64 2 (sqrt.f64 (cosh.f64 x))) (*.f64 2 (sqrt.f64 (cosh.f64 x))))
(/.f64 (/.f64 2 (sqrt.f64 (cosh.f64 x))) (/.f64 2 (sqrt.f64 (/.f64 1 (cosh.f64 x)))))
(/.f64 (*.f64 2 (/.f64 1 (pow.f64 (cbrt.f64 (cosh.f64 x)) 2))) (/.f64 2 (/.f64 1 (cbrt.f64 (cosh.f64 x)))))
(/.f64 (/.f64 -2 (cosh.f64 x)) -2)
(/.f64 -4 (.f64 2 (.f64 (cosh.f64 x) -2)))
(/.f64 (/.f64 2 (sqrt.f64 (.f64 2 (cosh.f64 x)))) (sqrt.f64 (.f64 2 (cosh.f64 x))))
(/.f64 (/.f64 2 (cbrt.f64 (.f64 (pow.f64 (cosh.f64 x) 2) 4))) (cbrt.f64 (.f64 2 (cosh.f64 x))))
(/.f64 (/.f64 2 (cbrt.f64 (.f64 2 (cosh.f64 x)))) (cbrt.f64 (.f64 (pow.f64 (cosh.f64 x) 2) 4)))
(/.f64 -1 (neg.f64 (cosh.f64 x)))
(/.f64 (pow.f64 1 1/3) (cosh.f64 x))
(/.f64 (pow.f64 (pow.f64 (/.f64 1 (cosh.f64 x)) 3/2) 1/3) (/.f64 1 (pow.f64 (pow.f64 (/.f64 1 (cosh.f64 x)) 3/2) 1/3)))
(/.f64 (.f64 (sqrt.f64 (/.f64 2 (cosh.f64 x))) 1) (sqrt.f64 (.f64 2 (cosh.f64 x))))
(/.f64 (.f64 (cbrt.f64 (/.f64 2 (pow.f64 (cosh.f64 x) 2))) 1) (cbrt.f64 (.f64 2 (cosh.f64 x))))
(/.f64 (.f64 (/.f64 2 (sqrt.f64 (.f64 2 (cosh.f64 x)))) 1) (sqrt.f64 (*.f64 2 (cosh.f64 x))))
(/.f64 (.f64 (/.f64 2 (cbrt.f64 (.f64 (pow.f64 (cosh.f64 x) 2) 4))) 1) (cbrt.f64 (*.f64 2 (cosh.f64 x))))
(/.f64 (.f64 (sqrt.f64 2) (sqrt.f64 (/.f64 1 (cosh.f64 x)))) (sqrt.f64 (.f64 2 (cosh.f64 x))))
(/.f64 (.f64 (sqrt.f64 -2) (sqrt.f64 (/.f64 1 (cosh.f64 x)))) (sqrt.f64 (.f64 (cosh.f64 x) -2)))
(/.f64 (.f64 (cbrt.f64 2) (/.f64 1 (pow.f64 (cbrt.f64 (cosh.f64 x)) 2))) (cbrt.f64 (.f64 2 (cosh.f64 x))))
(/.f64 (.f64 (cbrt.f64 -2) (/.f64 1 (pow.f64 (cbrt.f64 (cosh.f64 x)) 2))) (cbrt.f64 (.f64 (cosh.f64 x) -2)))
(/.f64 (.f64 (cbrt.f64 4) (/.f64 1 (cbrt.f64 (cosh.f64 x)))) (cbrt.f64 (.f64 (pow.f64 (cosh.f64 x) 2) 4)))
(/.f64 (.f64 (cbrt.f64 (/.f64 2 (cosh.f64 x))) (/.f64 1 (cbrt.f64 (cosh.f64 x)))) (cbrt.f64 (.f64 2 (cosh.f64 x))))
(/.f64 (.f64 (/.f64 1 (sqrt.f64 (.f64 2 (cosh.f64 x)))) 2) (sqrt.f64 (*.f64 2 (cosh.f64 x))))
(/.f64 (.f64 (/.f64 1 (cbrt.f64 (.f64 (pow.f64 (cosh.f64 x) 2) 4))) 2) (cbrt.f64 (*.f64 2 (cosh.f64 x))))
(/.f64 (/.f64 2 (pow.f64 (cbrt.f64 (cosh.f64 x)) 2)) (*.f64 2 (cbrt.f64 (cosh.f64 x))))
(/.f64 (/.f64 2 (*.f64 2 (sqrt.f64 (cosh.f64 x)))) (sqrt.f64 (cosh.f64 x)))
(/.f64 (/.f64 2 (*.f64 2 (pow.f64 (cbrt.f64 (cosh.f64 x)) 2))) (cbrt.f64 (cosh.f64 x)))
(/.f64 (/.f64 (sqrt.f64 (/.f64 1 (cosh.f64 x))) 1) (sqrt.f64 (cosh.f64 x)))
(/.f64 (/.f64 (sqrt.f64 (/.f64 1 (cosh.f64 x))) (cbrt.f64 (cosh.f64 x))) (cbrt.f64 (sqrt.f64 (cosh.f64 x))))
(/.f64 (/.f64 (sqrt.f64 (/.f64 1 (cosh.f64 x))) (sqrt.f64 (pow.f64 (cbrt.f64 (cosh.f64 x)) 2))) (sqrt.f64 (cbrt.f64 (cosh.f64 x))))
(/.f64 (/.f64 (sqrt.f64 (/.f64 1 (cosh.f64 x))) (sqrt.f64 (sqrt.f64 (cosh.f64 x)))) (sqrt.f64 (sqrt.f64 (cosh.f64 x))))
(/.f64 (/.f64 -2 (sqrt.f64 (.f64 2 (cosh.f64 x)))) (neg.f64 (sqrt.f64 (.f64 2 (cosh.f64 x)))))
(/.f64 (/.f64 -2 (cbrt.f64 (.f64 (pow.f64 (cosh.f64 x) 2) 4))) (neg.f64 (cbrt.f64 (.f64 2 (cosh.f64 x)))))
(/.f64 (/.f64 -2 (sqrt.f64 (.f64 (cosh.f64 x) -2))) (sqrt.f64 (.f64 (cosh.f64 x) -2)))
(/.f64 (/.f64 -2 (.f64 (cbrt.f64 (.f64 (cosh.f64 x) -2)) (cbrt.f64 (.f64 (cosh.f64 x) -2)))) (cbrt.f64 (.f64 (cosh.f64 x) -2)))
(/.f64 (/.f64 -2 (neg.f64 (sqrt.f64 (.f64 2 (cosh.f64 x))))) (sqrt.f64 (.f64 2 (cosh.f64 x))))
(/.f64 (/.f64 -2 (neg.f64 (cbrt.f64 (.f64 (pow.f64 (cosh.f64 x) 2) 4)))) (cbrt.f64 (.f64 2 (cosh.f64 x))))
(/.f64 (/.f64 (sqrt.f64 (/.f64 2 (cosh.f64 x))) 1) (sqrt.f64 (*.f64 2 (cosh.f64 x))))
(/.f64 (/.f64 (sqrt.f64 (/.f64 2 (cosh.f64 x))) (sqrt.f64 (cosh.f64 x))) (sqrt.f64 2))
(/.f64 (/.f64 (sqrt.f64 (/.f64 2 (cosh.f64 x))) (sqrt.f64 2)) (sqrt.f64 (cosh.f64 x)))
(/.f64 (/.f64 (sqrt.f64 (/.f64 2 (cosh.f64 x))) (cbrt.f64 (.f64 2 (cosh.f64 x)))) (cbrt.f64 (sqrt.f64 (.f64 2 (cosh.f64 x)))))
(/.f64 (/.f64 (sqrt.f64 (/.f64 2 (cosh.f64 x))) (sqrt.f64 (sqrt.f64 (.f64 2 (cosh.f64 x))))) (sqrt.f64 (sqrt.f64 (.f64 2 (cosh.f64 x)))))
(/.f64 (/.f64 (sqrt.f64 (/.f64 2 (cosh.f64 x))) (sqrt.f64 (cbrt.f64 (.f64 (pow.f64 (cosh.f64 x) 2) 4)))) (sqrt.f64 (cbrt.f64 (.f64 2 (cosh.f64 x)))))
(/.f64 (/.f64 (cbrt.f64 (/.f64 2 (pow.f64 (cosh.f64 x) 2))) 1) (cbrt.f64 (*.f64 2 (cosh.f64 x))))
(/.f64 (/.f64 (cbrt.f64 (/.f64 2 (pow.f64 (cosh.f64 x) 2))) (cbrt.f64 (cosh.f64 x))) (cbrt.f64 2))
(/.f64 (/.f64 (cbrt.f64 (/.f64 2 (pow.f64 (cosh.f64 x) 2))) (cbrt.f64 2)) (cbrt.f64 (cosh.f64 x)))
(/.f64 (/.f64 (cbrt.f64 (/.f64 2 (pow.f64 (cosh.f64 x) 2))) (sqrt.f64 (cbrt.f64 (.f64 2 (cosh.f64 x))))) (sqrt.f64 (cbrt.f64 (.f64 2 (cosh.f64 x)))))
(/.f64 (/.f64 (cbrt.f64 (/.f64 2 (pow.f64 (cosh.f64 x) 2))) (.f64 (cbrt.f64 (cbrt.f64 (.f64 2 (cosh.f64 x)))) (cbrt.f64 (cbrt.f64 (.f64 2 (cosh.f64 x)))))) (cbrt.f64 (cbrt.f64 (.f64 2 (cosh.f64 x)))))
(/.f64 (/.f64 (cbrt.f64 (/.f64 2 (pow.f64 (cosh.f64 x) 2))) (cbrt.f64 (sqrt.f64 (.f64 2 (cosh.f64 x))))) (cbrt.f64 (sqrt.f64 (.f64 2 (cosh.f64 x)))))
(/.f64 (/.f64 (cbrt.f64 (/.f64 2 (pow.f64 (cosh.f64 x) 2))) (cbrt.f64 (cbrt.f64 (.f64 (pow.f64 (cosh.f64 x) 2) 4)))) (cbrt.f64 (cbrt.f64 (.f64 2 (cosh.f64 x)))))
(/.f64 (/.f64 (/.f64 2 (sqrt.f64 (.f64 2 (cosh.f64 x)))) 1) (sqrt.f64 (.f64 2 (cosh.f64 x))))
(/.f64 (/.f64 (/.f64 2 (sqrt.f64 (*.f64 2 (cosh.f64 x)))) (sqrt.f64 (cosh.f64 x))) (sqrt.f64 2))
(/.f64 (/.f64 (/.f64 2 (sqrt.f64 (*.f64 2 (cosh.f64 x)))) (sqrt.f64 2)) (sqrt.f64 (cosh.f64 x)))
(/.f64 (/.f64 (/.f64 2 (sqrt.f64 (.f64 2 (cosh.f64 x)))) (cbrt.f64 (.f64 2 (cosh.f64 x)))) (cbrt.f64 (sqrt.f64 (*.f64 2 (cosh.f64 x)))))
(/.f64 (/.f64 (/.f64 2 (sqrt.f64 (.f64 2 (cosh.f64 x)))) (sqrt.f64 (sqrt.f64 (.f64 2 (cosh.f64 x))))) (sqrt.f64 (sqrt.f64 (*.f64 2 (cosh.f64 x)))))
(/.f64 (/.f64 (/.f64 2 (sqrt.f64 (.f64 2 (cosh.f64 x)))) (sqrt.f64 (cbrt.f64 (.f64 (pow.f64 (cosh.f64 x) 2) 4)))) (sqrt.f64 (cbrt.f64 (*.f64 2 (cosh.f64 x)))))
(/.f64 (/.f64 (/.f64 2 (cbrt.f64 (.f64 (pow.f64 (cosh.f64 x) 2) 4))) 1) (cbrt.f64 (.f64 2 (cosh.f64 x))))
(/.f64 (/.f64 (/.f64 2 (cbrt.f64 (*.f64 (pow.f64 (cosh.f64 x) 2) 4))) (cbrt.f64 (cosh.f64 x))) (cbrt.f64 2))
(/.f64 (/.f64 (/.f64 2 (cbrt.f64 (*.f64 (pow.f64 (cosh.f64 x) 2) 4))) (cbrt.f64 2)) (cbrt.f64 (cosh.f64 x)))
(/.f64 (/.f64 (/.f64 2 (cbrt.f64 (.f64 (pow.f64 (cosh.f64 x) 2) 4))) (sqrt.f64 (cbrt.f64 (.f64 2 (cosh.f64 x))))) (sqrt.f64 (cbrt.f64 (*.f64 2 (cosh.f64 x)))))
(/.f64 (/.f64 (/.f64 2 (cbrt.f64 (.f64 (pow.f64 (cosh.f64 x) 2) 4))) (.f64 (cbrt.f64 (cbrt.f64 (.f64 2 (cosh.f64 x)))) (cbrt.f64 (cbrt.f64 (.f64 2 (cosh.f64 x)))))) (cbrt.f64 (cbrt.f64 (*.f64 2 (cosh.f64 x)))))
(/.f64 (/.f64 (/.f64 2 (cbrt.f64 (.f64 (pow.f64 (cosh.f64 x) 2) 4))) (cbrt.f64 (sqrt.f64 (.f64 2 (cosh.f64 x))))) (cbrt.f64 (sqrt.f64 (*.f64 2 (cosh.f64 x)))))
(/.f64 (/.f64 (/.f64 2 (cbrt.f64 (.f64 (pow.f64 (cosh.f64 x) 2) 4))) (cbrt.f64 (cbrt.f64 (.f64 (pow.f64 (cosh.f64 x) 2) 4)))) (cbrt.f64 (cbrt.f64 (*.f64 2 (cosh.f64 x)))))
(/.f64 (/.f64 (/.f64 1 (pow.f64 (cbrt.f64 (cosh.f64 x)) 2)) 1) (cbrt.f64 (cosh.f64 x)))
(/.f64 (/.f64 (/.f64 1 (pow.f64 (cbrt.f64 (cosh.f64 x)) 2)) (sqrt.f64 (cbrt.f64 (cosh.f64 x)))) (sqrt.f64 (cbrt.f64 (cosh.f64 x))))
(/.f64 (/.f64 (/.f64 1 (pow.f64 (cbrt.f64 (cosh.f64 x)) 2)) (cbrt.f64 (pow.f64 (cbrt.f64 (cosh.f64 x)) 2))) (cbrt.f64 (cbrt.f64 (cosh.f64 x))))
(/.f64 (/.f64 (/.f64 1 (pow.f64 (cbrt.f64 (cosh.f64 x)) 2)) (cbrt.f64 (sqrt.f64 (cosh.f64 x)))) (cbrt.f64 (sqrt.f64 (cosh.f64 x))))
(/.f64 (/.f64 (/.f64 1 (pow.f64 (cbrt.f64 (cosh.f64 x)) 2)) (*.f64 (cbrt.f64 (cbrt.f64 (cosh.f64 x))) (cbrt.f64 (cbrt.f64 (cosh.f64 x))))) (cbrt.f64 (cbrt.f64 (cosh.f64 x))))
(pow.f64 (cosh.f64 x) -1)
(pow.f64 (/.f64 1 (cosh.f64 x)) 1)
(pow.f64 (/.f64 1 (pow.f64 (cosh.f64 x) 2)) 1/2)
(pow.f64 (pow.f64 (/.f64 1 (cosh.f64 x)) 3) 1/3)
(pow.f64 (sqrt.f64 (/.f64 1 (cosh.f64 x))) 2)
(pow.f64 (/.f64 1 (cbrt.f64 (cosh.f64 x))) 3)
(sqrt.f64 (/.f64 1 (pow.f64 (cosh.f64 x) 2)))
(fabs.f64 (/.f64 1 (cosh.f64 x)))
(log.f64 (exp.f64 (/.f64 1 (cosh.f64 x))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (cosh.f64 x)))))
(expm1.f64 (log1p.f64 (/.f64 1 (cosh.f64 x))))
(exp.f64 (neg.f64 (log.f64 (cosh.f64 x))))
(log1p.f64 (expm1.f64 (/.f64 1 (cosh.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 5/24 (pow.f64 x 4))))
(+.f64 1 (fma.f64 -1/2 (.f64 x x) (.f64 5/24 (pow.f64 x 4))))
(+.f64 1 (fma.f64 5/24 (pow.f64 x 4) (.f64 (.f64 -1/2 x) x)))
(+.f64 1 (+.f64 (.f64 -1/2 (pow.f64 x 2)) (+.f64 (.f64 -61/720 (pow.f64 x 6)) (*.f64 5/24 (pow.f64 x 4)))))
(+.f64 1 (fma.f64 -1/2 (.f64 x x) (fma.f64 -61/720 (pow.f64 x 6) (.f64 5/24 (pow.f64 x 4)))))
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(/.f64 (cbrt.f64 (/.f64 2 (pow.f64 (cosh.f64 x) 2))) (cbrt.f64 (*.f64 2 (cosh.f64 x))))
(/.f64 (/.f64 (cbrt.f64 (/.f64 2 (pow.f64 (cosh.f64 x) 2))) (cbrt.f64 (sqrt.f64 (.f64 2 (cosh.f64 x))))) (cbrt.f64 (sqrt.f64 (.f64 2 (cosh.f64 x)))))
(/.f64 (cbrt.f64 (/.f64 2 (pow.f64 (cosh.f64 x) 2))) (.f64 (cbrt.f64 (sqrt.f64 (.f64 2 (cosh.f64 x)))) (cbrt.f64 (sqrt.f64 (*.f64 2 (cosh.f64 x))))))
(/.f64 (/.f64 (cbrt.f64 (/.f64 2 (pow.f64 (cosh.f64 x) 2))) (cbrt.f64 (cbrt.f64 (.f64 (pow.f64 (cosh.f64 x) 2) 4)))) (cbrt.f64 (cbrt.f64 (.f64 2 (cosh.f64 x)))))
(/.f64 (cbrt.f64 (/.f64 2 (pow.f64 (cosh.f64 x) 2))) (.f64 (cbrt.f64 (cbrt.f64 (.f64 2 (cosh.f64 x)))) (cbrt.f64 (cbrt.f64 (*.f64 4 (pow.f64 (cosh.f64 x) 2))))))
(/.f64 (/.f64 (/.f64 2 (sqrt.f64 (.f64 2 (cosh.f64 x)))) 1) (sqrt.f64 (.f64 2 (cosh.f64 x))))
(/.f64 1 (cosh.f64 x))
(/.f64 (/.f64 (/.f64 2 (sqrt.f64 (*.f64 2 (cosh.f64 x)))) (sqrt.f64 (cosh.f64 x))) (sqrt.f64 2))
(/.f64 (/.f64 2 (sqrt.f64 (.f64 2 (cosh.f64 x)))) (.f64 (sqrt.f64 2) (sqrt.f64 (cosh.f64 x))))
(/.f64 2 (.f64 (.f64 (sqrt.f64 2) (sqrt.f64 (cosh.f64 x))) (sqrt.f64 (*.f64 2 (cosh.f64 x)))))
(/.f64 (/.f64 (/.f64 2 (sqrt.f64 (*.f64 2 (cosh.f64 x)))) (sqrt.f64 2)) (sqrt.f64 (cosh.f64 x)))
(/.f64 (/.f64 2 (sqrt.f64 (.f64 2 (cosh.f64 x)))) (.f64 (sqrt.f64 2) (sqrt.f64 (cosh.f64 x))))
(/.f64 2 (.f64 (.f64 (sqrt.f64 2) (sqrt.f64 (cosh.f64 x))) (sqrt.f64 (*.f64 2 (cosh.f64 x)))))
(/.f64 (/.f64 (/.f64 2 (sqrt.f64 (.f64 2 (cosh.f64 x)))) (cbrt.f64 (.f64 2 (cosh.f64 x)))) (cbrt.f64 (sqrt.f64 (*.f64 2 (cosh.f64 x)))))
(/.f64 (/.f64 2 (sqrt.f64 (.f64 2 (cosh.f64 x)))) (.f64 (cbrt.f64 (sqrt.f64 (.f64 2 (cosh.f64 x)))) (cbrt.f64 (.f64 2 (cosh.f64 x)))))
(/.f64 2 (.f64 (.f64 (cbrt.f64 (.f64 2 (cosh.f64 x))) (cbrt.f64 (sqrt.f64 (.f64 2 (cosh.f64 x))))) (sqrt.f64 (*.f64 2 (cosh.f64 x)))))
(/.f64 (/.f64 (/.f64 2 (sqrt.f64 (.f64 2 (cosh.f64 x)))) (sqrt.f64 (sqrt.f64 (.f64 2 (cosh.f64 x))))) (sqrt.f64 (sqrt.f64 (*.f64 2 (cosh.f64 x)))))
(/.f64 1 (cosh.f64 x))
(/.f64 (/.f64 (/.f64 2 (sqrt.f64 (.f64 2 (cosh.f64 x)))) (sqrt.f64 (cbrt.f64 (.f64 (pow.f64 (cosh.f64 x) 2) 4)))) (sqrt.f64 (cbrt.f64 (*.f64 2 (cosh.f64 x)))))
(/.f64 (/.f64 2 (sqrt.f64 (.f64 2 (cosh.f64 x)))) (.f64 (sqrt.f64 (cbrt.f64 (.f64 2 (cosh.f64 x)))) (sqrt.f64 (cbrt.f64 (.f64 4 (pow.f64 (cosh.f64 x) 2))))))
(/.f64 2 (.f64 (.f64 (sqrt.f64 (cbrt.f64 (.f64 4 (pow.f64 (cosh.f64 x) 2)))) (sqrt.f64 (cbrt.f64 (.f64 2 (cosh.f64 x))))) (sqrt.f64 (*.f64 2 (cosh.f64 x)))))
(/.f64 (/.f64 (/.f64 2 (cbrt.f64 (.f64 (pow.f64 (cosh.f64 x) 2) 4))) 1) (cbrt.f64 (.f64 2 (cosh.f64 x))))
(/.f64 2 (.f64 (cbrt.f64 (.f64 2 (cosh.f64 x))) (cbrt.f64 (*.f64 4 (pow.f64 (cosh.f64 x) 2)))))
(/.f64 (/.f64 2 (cbrt.f64 (.f64 4 (pow.f64 (cosh.f64 x) 2)))) (cbrt.f64 (.f64 2 (cosh.f64 x))))
(/.f64 (/.f64 (/.f64 2 (cbrt.f64 (*.f64 (pow.f64 (cosh.f64 x) 2) 4))) (cbrt.f64 (cosh.f64 x))) (cbrt.f64 2))
(/.f64 (/.f64 2 (cbrt.f64 (.f64 4 (pow.f64 (cosh.f64 x) 2)))) (.f64 (cbrt.f64 2) (cbrt.f64 (cosh.f64 x))))
(/.f64 2 (.f64 (.f64 (cbrt.f64 (cosh.f64 x)) (cbrt.f64 2)) (cbrt.f64 (*.f64 4 (pow.f64 (cosh.f64 x) 2)))))
(/.f64 (/.f64 (/.f64 2 (cbrt.f64 (*.f64 (pow.f64 (cosh.f64 x) 2) 4))) (cbrt.f64 2)) (cbrt.f64 (cosh.f64 x)))
(/.f64 (/.f64 2 (cbrt.f64 (.f64 4 (pow.f64 (cosh.f64 x) 2)))) (.f64 (cbrt.f64 2) (cbrt.f64 (cosh.f64 x))))
(/.f64 2 (.f64 (.f64 (cbrt.f64 (cosh.f64 x)) (cbrt.f64 2)) (cbrt.f64 (*.f64 4 (pow.f64 (cosh.f64 x) 2)))))
(/.f64 (/.f64 (/.f64 2 (cbrt.f64 (.f64 (pow.f64 (cosh.f64 x) 2) 4))) (sqrt.f64 (cbrt.f64 (.f64 2 (cosh.f64 x))))) (sqrt.f64 (cbrt.f64 (*.f64 2 (cosh.f64 x)))))
(/.f64 2 (.f64 (cbrt.f64 (.f64 2 (cosh.f64 x))) (cbrt.f64 (*.f64 4 (pow.f64 (cosh.f64 x) 2)))))
(/.f64 (/.f64 2 (cbrt.f64 (.f64 4 (pow.f64 (cosh.f64 x) 2)))) (cbrt.f64 (.f64 2 (cosh.f64 x))))
(/.f64 (/.f64 (/.f64 2 (cbrt.f64 (.f64 (pow.f64 (cosh.f64 x) 2) 4))) (.f64 (cbrt.f64 (cbrt.f64 (.f64 2 (cosh.f64 x)))) (cbrt.f64 (cbrt.f64 (.f64 2 (cosh.f64 x)))))) (cbrt.f64 (cbrt.f64 (*.f64 2 (cosh.f64 x)))))
(/.f64 2 (.f64 (cbrt.f64 (.f64 2 (cosh.f64 x))) (cbrt.f64 (*.f64 4 (pow.f64 (cosh.f64 x) 2)))))
(/.f64 (/.f64 2 (cbrt.f64 (.f64 4 (pow.f64 (cosh.f64 x) 2)))) (cbrt.f64 (.f64 2 (cosh.f64 x))))
(/.f64 (/.f64 (/.f64 2 (cbrt.f64 (.f64 (pow.f64 (cosh.f64 x) 2) 4))) (cbrt.f64 (sqrt.f64 (.f64 2 (cosh.f64 x))))) (cbrt.f64 (sqrt.f64 (*.f64 2 (cosh.f64 x)))))
(/.f64 (/.f64 2 (cbrt.f64 (.f64 4 (pow.f64 (cosh.f64 x) 2)))) (.f64 (cbrt.f64 (sqrt.f64 (.f64 2 (cosh.f64 x)))) (cbrt.f64 (sqrt.f64 (.f64 2 (cosh.f64 x))))))
(/.f64 2 (.f64 (cbrt.f64 (sqrt.f64 (.f64 2 (cosh.f64 x)))) (.f64 (cbrt.f64 (.f64 4 (pow.f64 (cosh.f64 x) 2))) (cbrt.f64 (sqrt.f64 (*.f64 2 (cosh.f64 x)))))))
(/.f64 (/.f64 (/.f64 2 (cbrt.f64 (.f64 (pow.f64 (cosh.f64 x) 2) 4))) (cbrt.f64 (cbrt.f64 (.f64 (pow.f64 (cosh.f64 x) 2) 4)))) (cbrt.f64 (cbrt.f64 (*.f64 2 (cosh.f64 x)))))
(/.f64 (/.f64 2 (cbrt.f64 (.f64 4 (pow.f64 (cosh.f64 x) 2)))) (.f64 (cbrt.f64 (cbrt.f64 (.f64 2 (cosh.f64 x)))) (cbrt.f64 (cbrt.f64 (.f64 4 (pow.f64 (cosh.f64 x) 2))))))
(/.f64 (/.f64 (/.f64 1 (pow.f64 (cbrt.f64 (cosh.f64 x)) 2)) 1) (cbrt.f64 (cosh.f64 x)))
(/.f64 1 (cosh.f64 x))
(/.f64 (/.f64 (/.f64 1 (pow.f64 (cbrt.f64 (cosh.f64 x)) 2)) (sqrt.f64 (cbrt.f64 (cosh.f64 x)))) (sqrt.f64 (cbrt.f64 (cosh.f64 x))))
(/.f64 1 (cosh.f64 x))
(/.f64 (/.f64 (/.f64 1 (pow.f64 (cbrt.f64 (cosh.f64 x)) 2)) (cbrt.f64 (pow.f64 (cbrt.f64 (cosh.f64 x)) 2))) (cbrt.f64 (cbrt.f64 (cosh.f64 x))))
(/.f64 (/.f64 1 (pow.f64 (cbrt.f64 (cosh.f64 x)) 2)) (*.f64 (cbrt.f64 (cbrt.f64 (cosh.f64 x))) (cbrt.f64 (pow.f64 (cbrt.f64 (cosh.f64 x)) 2))))
(/.f64 1 (.f64 (cbrt.f64 (cbrt.f64 (cosh.f64 x))) (.f64 (pow.f64 (cbrt.f64 (cosh.f64 x)) 2) (cbrt.f64 (pow.f64 (cbrt.f64 (cosh.f64 x)) 2)))))
(/.f64 (/.f64 (/.f64 1 (pow.f64 (cbrt.f64 (cosh.f64 x)) 2)) (cbrt.f64 (sqrt.f64 (cosh.f64 x)))) (cbrt.f64 (sqrt.f64 (cosh.f64 x))))
(/.f64 (/.f64 1 (pow.f64 (cbrt.f64 (cosh.f64 x)) 2)) (*.f64 (cbrt.f64 (sqrt.f64 (cosh.f64 x))) (cbrt.f64 (sqrt.f64 (cosh.f64 x)))))
(/.f64 1 (.f64 (.f64 (cbrt.f64 (sqrt.f64 (cosh.f64 x))) (cbrt.f64 (sqrt.f64 (cosh.f64 x)))) (pow.f64 (cbrt.f64 (cosh.f64 x)) 2)))
(/.f64 (/.f64 (/.f64 1 (pow.f64 (cbrt.f64 (cosh.f64 x)) 2)) (*.f64 (cbrt.f64 (cbrt.f64 (cosh.f64 x))) (cbrt.f64 (cbrt.f64 (cosh.f64 x))))) (cbrt.f64 (cbrt.f64 (cosh.f64 x))))
(/.f64 1 (cosh.f64 x))
(pow.f64 (cosh.f64 x) -1)
(/.f64 1 (cosh.f64 x))
(pow.f64 (/.f64 1 (cosh.f64 x)) 1)
(/.f64 1 (cosh.f64 x))
(pow.f64 (/.f64 1 (pow.f64 (cosh.f64 x) 2)) 1/2)
(sqrt.f64 (/.f64 1 (pow.f64 (cosh.f64 x) 2)))
(sqrt.f64 (pow.f64 (cosh.f64 x) -2))
(pow.f64 (pow.f64 (/.f64 1 (cosh.f64 x)) 3) 1/3)
(/.f64 1 (cosh.f64 x))
(pow.f64 (sqrt.f64 (/.f64 1 (cosh.f64 x))) 2)
(/.f64 1 (cosh.f64 x))
(pow.f64 (/.f64 1 (cbrt.f64 (cosh.f64 x))) 3)
(/.f64 1 (cosh.f64 x))
(sqrt.f64 (/.f64 1 (pow.f64 (cosh.f64 x) 2)))
(sqrt.f64 (pow.f64 (cosh.f64 x) -2))
(fabs.f64 (/.f64 1 (cosh.f64 x)))
(/.f64 1 (cosh.f64 x))
(log.f64 (exp.f64 (/.f64 1 (cosh.f64 x))))
(/.f64 1 (cosh.f64 x))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (cosh.f64 x)))))
(/.f64 1 (cosh.f64 x))
(expm1.f64 (log1p.f64 (/.f64 1 (cosh.f64 x))))
(/.f64 1 (cosh.f64 x))
(exp.f64 (neg.f64 (log.f64 (cosh.f64 x))))
(/.f64 1 (cosh.f64 x))
(log1p.f64 (expm1.f64 (/.f64 1 (cosh.f64 x))))
(/.f64 1 (cosh.f64 x))

localize21.0ms (0.4%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(cbrt.f64 (/.f64 2 (*.f64 2 (cosh.f64 x))))
✓	0.0b	(.f64 (.f64 (cbrt.f64 (/.f64 2 (.f64 2 (cosh.f64 x)))) (cbrt.f64 (/.f64 2 (.f64 2 (cosh.f64 x))))) (cbrt.f64 (/.f64 2 (*.f64 2 (cosh.f64 x)))))
	0.0b	(cosh.f64 x)
	0.0b	(/.f64 2 (*.f64 2 (cosh.f64 x)))

Compiler

Compiled 60 to 42 computations (30% saved)

series6.0ms (0.1%)

Counts

2 → 24

Calls

6 calls:

Time	Variable		Point	Expression
2.0ms	x	@	inf	(cbrt.f64 (/.f64 2 (*.f64 2 (cosh.f64 x))))
2.0ms	x	@	inf	(.f64 (.f64 (cbrt.f64 (/.f64 2 (.f64 2 (cosh.f64 x)))) (cbrt.f64 (/.f64 2 (.f64 2 (cosh.f64 x))))) (cbrt.f64 (/.f64 2 (*.f64 2 (cosh.f64 x)))))
1.0ms	x	@	-inf	(cbrt.f64 (/.f64 2 (*.f64 2 (cosh.f64 x))))
0.0ms	x	@	0	(.f64 (.f64 (cbrt.f64 (/.f64 2 (.f64 2 (cosh.f64 x)))) (cbrt.f64 (/.f64 2 (.f64 2 (cosh.f64 x))))) (cbrt.f64 (/.f64 2 (*.f64 2 (cosh.f64 x)))))
0.0ms	x	@	-inf	(.f64 (.f64 (cbrt.f64 (/.f64 2 (.f64 2 (cosh.f64 x)))) (cbrt.f64 (/.f64 2 (.f64 2 (cosh.f64 x))))) (cbrt.f64 (/.f64 2 (*.f64 2 (cosh.f64 x)))))

rewrite63.0ms (1.3%)

Algorithm

1×	batch-egg-rewrite

Rules

1880×	`add-sqr-sqrt`
1846×	`*-un-lft-identity`
1728×	`add-cube-cbrt`
1708×	`add-cbrt-cube`
196×	`pow1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	26
1	218	26
2	2560	26

Stop Event

1×	node limit

Counts

2 → 58

Calls

Call 1

Inputs
(.f64 (.f64 (cbrt.f64 (/.f64 2 (.f64 2 (cosh.f64 x)))) (cbrt.f64 (/.f64 2 (.f64 2 (cosh.f64 x))))) (cbrt.f64 (/.f64 2 (*.f64 2 (cosh.f64 x)))))
(cbrt.f64 (/.f64 2 (*.f64 2 (cosh.f64 x))))

Outputs

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

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

simplify65.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

762×	`fma-def`
674×	`unswap-sqr`
466×	`distribute-rgt-neg-in`
464×	`distribute-lft-neg-in`
438×	`sqr-pow`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	164	2184
1	360	2116
2	937	1492
3	4223	1468

Stop Event

1×	node limit

Counts

82 → 96

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 5/24 (pow.f64 x 4))))
(+.f64 1 (+.f64 (.f64 -1/2 (pow.f64 x 2)) (+.f64 (.f64 -61/720 (pow.f64 x 6)) (*.f64 5/24 (pow.f64 x 4)))))
(/.f64 2 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))
(/.f64 2 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))
(/.f64 2 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))
(/.f64 2 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))
(/.f64 2 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))
(/.f64 2 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))
(/.f64 2 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))
(/.f64 2 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))
1
(+.f64 1 (*.f64 -1/6 (pow.f64 x 2)))
(+.f64 1 (+.f64 (.f64 -1/6 (pow.f64 x 2)) (.f64 1/24 (pow.f64 x 4))))
(+.f64 1 (+.f64 (.f64 -1/6 (pow.f64 x 2)) (+.f64 (.f64 1/24 (pow.f64 x 4)) (*.f64 -83/6480 (pow.f64 x 6)))))
(*.f64 (pow.f64 (/.f64 1 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))) 1/3) (cbrt.f64 2))
(*.f64 (pow.f64 (/.f64 1 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))) 1/3) (cbrt.f64 2))
(*.f64 (pow.f64 (/.f64 1 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))) 1/3) (cbrt.f64 2))
(*.f64 (pow.f64 (/.f64 1 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))) 1/3) (cbrt.f64 2))
(*.f64 (pow.f64 (/.f64 1 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))) 1/3) (cbrt.f64 2))
(*.f64 (pow.f64 (/.f64 1 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))) 1/3) (cbrt.f64 2))
(*.f64 (pow.f64 (/.f64 1 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))) 1/3) (cbrt.f64 2))
(*.f64 (pow.f64 (/.f64 1 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))) 1/3) (cbrt.f64 2))
(-.f64 (exp.f64 (log1p.f64 (/.f64 1 (cosh.f64 x)))) 1)
(/.f64 2 (*.f64 2 (cosh.f64 x)))
(/.f64 2 (neg.f64 (*.f64 (cosh.f64 x) -2)))
(/.f64 1 (cosh.f64 x))
(/.f64 (/.f64 1 (sqrt.f64 (cosh.f64 x))) (sqrt.f64 (cosh.f64 x)))
(/.f64 -2 (*.f64 (cosh.f64 x) -2))
(/.f64 (.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cosh.f64 x) 2))) (cbrt.f64 2)) (cbrt.f64 (.f64 2 (cosh.f64 x))))
(/.f64 (.f64 (cbrt.f64 2) (cbrt.f64 (/.f64 1 (pow.f64 (cosh.f64 x) 2)))) (cbrt.f64 (.f64 2 (cosh.f64 x))))
(/.f64 (/.f64 2 (cosh.f64 x)) 2)
(/.f64 (/.f64 2 (sqrt.f64 (.f64 2 (cosh.f64 x)))) (sqrt.f64 (.f64 2 (cosh.f64 x))))
(/.f64 (/.f64 2 (pow.f64 (cbrt.f64 (.f64 2 (cosh.f64 x))) 2)) (cbrt.f64 (.f64 2 (cosh.f64 x))))
(/.f64 (/.f64 1 (pow.f64 (cbrt.f64 (cosh.f64 x)) 2)) (cbrt.f64 (cosh.f64 x)))
(/.f64 -1 (neg.f64 (cosh.f64 x)))
(/.f64 (pow.f64 (cbrt.f64 2) 3) (*.f64 2 (cosh.f64 x)))
(pow.f64 (cosh.f64 x) -1)
(pow.f64 (/.f64 1 (cosh.f64 x)) 1)
(pow.f64 (/.f64 1 (cbrt.f64 (cosh.f64 x))) 3)
(pow.f64 (/.f64 1 (sqrt.f64 (cosh.f64 x))) 2)
(pow.f64 (pow.f64 (/.f64 1 (cosh.f64 x)) 3) 1/3)
(sqrt.f64 (/.f64 1 (pow.f64 (cosh.f64 x) 2)))
(log.f64 (exp.f64 (/.f64 1 (cosh.f64 x))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (cosh.f64 x)))))
(cbrt.f64 (pow.f64 (/.f64 1 (cosh.f64 x)) 3))
(expm1.f64 (log1p.f64 (/.f64 1 (cosh.f64 x))))
(exp.f64 (neg.f64 (log.f64 (cosh.f64 x))))
(exp.f64 (*.f64 (neg.f64 (log.f64 (cosh.f64 x))) 1))
(exp.f64 (.f64 (.f64 1/3 (neg.f64 (log.f64 (cosh.f64 x)))) 3))
(log1p.f64 (expm1.f64 (/.f64 1 (cosh.f64 x))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 1 (cbrt.f64 (cosh.f64 x))))) 1)
(*.f64 (/.f64 1 (cbrt.f64 (cosh.f64 x))) 1)
(*.f64 1 (/.f64 1 (cbrt.f64 (cosh.f64 x))))
(*.f64 (pow.f64 (/.f64 1 (cosh.f64 x)) 1/6) (pow.f64 (/.f64 1 (cosh.f64 x)) 1/6))
(*.f64 (cbrt.f64 (/.f64 1 (cbrt.f64 (cosh.f64 x)))) (cbrt.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cosh.f64 x) 2)))))
(*.f64 (cbrt.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cosh.f64 x) 2)))) (cbrt.f64 (/.f64 1 (cbrt.f64 (cosh.f64 x)))))
(*.f64 (cbrt.f64 2) (cbrt.f64 (/.f64 1/2 (cosh.f64 x))))
(.f64 (cbrt.f64 2) (/.f64 1 (cbrt.f64 (.f64 2 (cosh.f64 x)))))
(*.f64 (cbrt.f64 2) (pow.f64 (/.f64 1/2 (cosh.f64 x)) 1/3))
(*.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (/.f64 1 (cbrt.f64 (cosh.f64 x))) 4))) (sqrt.f64 (cbrt.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cosh.f64 x) 2))))))
(*.f64 (pow.f64 1 1/3) (/.f64 1 (cbrt.f64 (cosh.f64 x))))
(*.f64 (pow.f64 (/.f64 1 (sqrt.f64 (cosh.f64 x))) 1/3) (pow.f64 (/.f64 1 (sqrt.f64 (cosh.f64 x))) 1/3))
(/.f64 1 (cbrt.f64 (cosh.f64 x)))
(/.f64 (cbrt.f64 2) (cbrt.f64 (*.f64 2 (cosh.f64 x))))
(/.f64 (cbrt.f64 -2) (cbrt.f64 (*.f64 (cosh.f64 x) -2)))
(/.f64 (neg.f64 (cbrt.f64 2)) (neg.f64 (cbrt.f64 (*.f64 2 (cosh.f64 x)))))
(pow.f64 (/.f64 1 (cosh.f64 x)) 1/3)
(pow.f64 (/.f64 1 (cbrt.f64 (cosh.f64 x))) 1)
(pow.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cosh.f64 x) 2))) 1/2)
(pow.f64 (pow.f64 (/.f64 1 (cosh.f64 x)) 1/6) 2)
(pow.f64 (cbrt.f64 (/.f64 1 (cbrt.f64 (cosh.f64 x)))) 3)
(sqrt.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cosh.f64 x) 2))))
(fabs.f64 (/.f64 1 (cbrt.f64 (cosh.f64 x))))
(log.f64 (exp.f64 (/.f64 1 (cbrt.f64 (cosh.f64 x)))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (cbrt.f64 (cosh.f64 x))))))
(expm1.f64 (log1p.f64 (/.f64 1 (cbrt.f64 (cosh.f64 x)))))
(exp.f64 (*.f64 1/3 (neg.f64 (log.f64 (cosh.f64 x)))))
(exp.f64 (*.f64 (neg.f64 (log.f64 (cosh.f64 x))) 1/3))
(exp.f64 (.f64 (.f64 1/3 (neg.f64 (log.f64 (cosh.f64 x)))) 1))
(log1p.f64 (expm1.f64 (/.f64 1 (cbrt.f64 (cosh.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 5/24 (pow.f64 x 4))))
(+.f64 1 (fma.f64 -1/2 (.f64 x x) (.f64 5/24 (pow.f64 x 4))))
(fma.f64 -1/2 (*.f64 x x) (fma.f64 5/24 (pow.f64 x 4) 1))
(fma.f64 (.f64 x x) (fma.f64 (.f64 x x) 5/24 -1/2) 1)
(+.f64 1 (+.f64 (.f64 -1/2 (pow.f64 x 2)) (+.f64 (.f64 -61/720 (pow.f64 x 6)) (*.f64 5/24 (pow.f64 x 4)))))
(+.f64 1 (fma.f64 -1/2 (.f64 x x) (fma.f64 -61/720 (pow.f64 x 6) (.f64 5/24 (pow.f64 x 4)))))
(+.f64 1 (fma.f64 -1/2 (.f64 x x) (fma.f64 5/24 (pow.f64 x 4) (.f64 -61/720 (pow.f64 x 6)))))
(fma.f64 -61/720 (pow.f64 x 6) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) 5/24 -1/2) 1))
(/.f64 2 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))
(/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(/.f64 1 (cosh.f64 x))
(/.f64 2 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))
(/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(/.f64 1 (cosh.f64 x))
(/.f64 2 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))
(/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(/.f64 1 (cosh.f64 x))
(/.f64 2 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))
(/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(/.f64 1 (cosh.f64 x))
(/.f64 2 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))
(/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(/.f64 1 (cosh.f64 x))
(/.f64 2 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))
(/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(/.f64 1 (cosh.f64 x))
(/.f64 2 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))
(/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(/.f64 1 (cosh.f64 x))
(/.f64 2 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))
(/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(/.f64 1 (cosh.f64 x))
1
(+.f64 1 (*.f64 -1/6 (pow.f64 x 2)))
(+.f64 1 (.f64 (.f64 x x) -1/6))
(fma.f64 (*.f64 x x) -1/6 1)
(fma.f64 x (*.f64 x -1/6) 1)
(+.f64 1 (+.f64 (.f64 -1/6 (pow.f64 x 2)) (.f64 1/24 (pow.f64 x 4))))
(+.f64 1 (fma.f64 -1/6 (.f64 x x) (.f64 (pow.f64 x 4) 1/24)))
(+.f64 1 (fma.f64 (pow.f64 x 4) 1/24 (.f64 (.f64 x x) -1/6)))
(fma.f64 (pow.f64 x 4) 1/24 (fma.f64 x (*.f64 x -1/6) 1))
(fma.f64 (.f64 x x) (fma.f64 (.f64 x x) 1/24 -1/6) 1)
(+.f64 1 (+.f64 (.f64 -1/6 (pow.f64 x 2)) (+.f64 (.f64 1/24 (pow.f64 x 4)) (*.f64 -83/6480 (pow.f64 x 6)))))
(+.f64 1 (fma.f64 -1/6 (.f64 x x) (fma.f64 1/24 (pow.f64 x 4) (.f64 (pow.f64 x 6) -83/6480))))
(+.f64 1 (fma.f64 (.f64 x x) -1/6 (fma.f64 (pow.f64 x 4) 1/24 (.f64 (pow.f64 x 6) -83/6480))))
(+.f64 1 (fma.f64 x (.f64 x -1/6) (fma.f64 (pow.f64 x 4) 1/24 (.f64 (pow.f64 x 6) -83/6480))))
(fma.f64 (.f64 x x) (fma.f64 (.f64 x x) 1/24 -1/6) (fma.f64 (pow.f64 x 6) -83/6480 1))
(*.f64 (pow.f64 (/.f64 1 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))) 1/3) (cbrt.f64 2))
(*.f64 (cbrt.f64 (/.f64 1 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))) (cbrt.f64 2))
(*.f64 (cbrt.f64 2) (cbrt.f64 (/.f64 1/2 (cosh.f64 x))))
(*.f64 (pow.f64 (/.f64 1 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))) 1/3) (cbrt.f64 2))
(*.f64 (cbrt.f64 (/.f64 1 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))) (cbrt.f64 2))
(*.f64 (cbrt.f64 2) (cbrt.f64 (/.f64 1/2 (cosh.f64 x))))
(*.f64 (pow.f64 (/.f64 1 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))) 1/3) (cbrt.f64 2))
(*.f64 (cbrt.f64 (/.f64 1 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))) (cbrt.f64 2))
(*.f64 (cbrt.f64 2) (cbrt.f64 (/.f64 1/2 (cosh.f64 x))))
(*.f64 (pow.f64 (/.f64 1 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))) 1/3) (cbrt.f64 2))
(*.f64 (cbrt.f64 (/.f64 1 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))) (cbrt.f64 2))
(*.f64 (cbrt.f64 2) (cbrt.f64 (/.f64 1/2 (cosh.f64 x))))
(*.f64 (pow.f64 (/.f64 1 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))) 1/3) (cbrt.f64 2))
(*.f64 (cbrt.f64 (/.f64 1 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))) (cbrt.f64 2))
(*.f64 (cbrt.f64 2) (cbrt.f64 (/.f64 1/2 (cosh.f64 x))))
(*.f64 (pow.f64 (/.f64 1 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))) 1/3) (cbrt.f64 2))
(*.f64 (cbrt.f64 (/.f64 1 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))) (cbrt.f64 2))
(*.f64 (cbrt.f64 2) (cbrt.f64 (/.f64 1/2 (cosh.f64 x))))
(*.f64 (pow.f64 (/.f64 1 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))) 1/3) (cbrt.f64 2))
(*.f64 (cbrt.f64 (/.f64 1 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))) (cbrt.f64 2))
(*.f64 (cbrt.f64 2) (cbrt.f64 (/.f64 1/2 (cosh.f64 x))))
(*.f64 (pow.f64 (/.f64 1 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))) 1/3) (cbrt.f64 2))
(*.f64 (cbrt.f64 (/.f64 1 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))) (cbrt.f64 2))
(*.f64 (cbrt.f64 2) (cbrt.f64 (/.f64 1/2 (cosh.f64 x))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 1 (cosh.f64 x)))) 1)
(/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(/.f64 1 (cosh.f64 x))
(/.f64 2 (*.f64 2 (cosh.f64 x)))
(/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(/.f64 1 (cosh.f64 x))
(/.f64 2 (neg.f64 (*.f64 (cosh.f64 x) -2)))
(/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(/.f64 1 (cosh.f64 x))
(/.f64 1 (cosh.f64 x))
(/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(/.f64 (/.f64 1 (sqrt.f64 (cosh.f64 x))) (sqrt.f64 (cosh.f64 x)))
(/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(/.f64 1 (cosh.f64 x))
(/.f64 -2 (*.f64 (cosh.f64 x) -2))
(/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(/.f64 1 (cosh.f64 x))
(/.f64 (.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cosh.f64 x) 2))) (cbrt.f64 2)) (cbrt.f64 (.f64 2 (cosh.f64 x))))
(/.f64 (cbrt.f64 2) (/.f64 (cbrt.f64 (*.f64 2 (cosh.f64 x))) (cbrt.f64 (/.f64 1 (pow.f64 (cosh.f64 x) 2)))))
(.f64 (/.f64 (cbrt.f64 2) (cbrt.f64 (.f64 2 (cosh.f64 x)))) (cbrt.f64 (pow.f64 (cosh.f64 x) -2)))
(.f64 (cbrt.f64 2) (/.f64 (cbrt.f64 (pow.f64 (cosh.f64 x) -2)) (cbrt.f64 (.f64 2 (cosh.f64 x)))))
(/.f64 (.f64 (cbrt.f64 2) (cbrt.f64 (/.f64 1 (pow.f64 (cosh.f64 x) 2)))) (cbrt.f64 (.f64 2 (cosh.f64 x))))
(/.f64 (cbrt.f64 2) (/.f64 (cbrt.f64 (*.f64 2 (cosh.f64 x))) (cbrt.f64 (/.f64 1 (pow.f64 (cosh.f64 x) 2)))))
(.f64 (/.f64 (cbrt.f64 2) (cbrt.f64 (.f64 2 (cosh.f64 x)))) (cbrt.f64 (pow.f64 (cosh.f64 x) -2)))
(.f64 (cbrt.f64 2) (/.f64 (cbrt.f64 (pow.f64 (cosh.f64 x) -2)) (cbrt.f64 (.f64 2 (cosh.f64 x)))))
(/.f64 (/.f64 2 (cosh.f64 x)) 2)
(/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(/.f64 1 (cosh.f64 x))
(/.f64 (/.f64 2 (sqrt.f64 (.f64 2 (cosh.f64 x)))) (sqrt.f64 (.f64 2 (cosh.f64 x))))
(/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(/.f64 1 (cosh.f64 x))
(/.f64 (/.f64 2 (pow.f64 (cbrt.f64 (.f64 2 (cosh.f64 x))) 2)) (cbrt.f64 (.f64 2 (cosh.f64 x))))
(/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(/.f64 1 (cosh.f64 x))
(/.f64 (/.f64 1 (pow.f64 (cbrt.f64 (cosh.f64 x)) 2)) (cbrt.f64 (cosh.f64 x)))
(/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(/.f64 1 (cosh.f64 x))
(/.f64 -1 (neg.f64 (cosh.f64 x)))
(/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(/.f64 1 (cosh.f64 x))
(/.f64 (pow.f64 (cbrt.f64 2) 3) (*.f64 2 (cosh.f64 x)))
(/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(/.f64 1 (cosh.f64 x))
(pow.f64 (cosh.f64 x) -1)
(/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(/.f64 1 (cosh.f64 x))
(pow.f64 (/.f64 1 (cosh.f64 x)) 1)
(/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(/.f64 1 (cosh.f64 x))
(pow.f64 (/.f64 1 (cbrt.f64 (cosh.f64 x))) 3)
(/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(/.f64 1 (cosh.f64 x))
(pow.f64 (/.f64 1 (sqrt.f64 (cosh.f64 x))) 2)
(/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(/.f64 1 (cosh.f64 x))
(pow.f64 (pow.f64 (/.f64 1 (cosh.f64 x)) 3) 1/3)
(/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(/.f64 1 (cosh.f64 x))
(sqrt.f64 (/.f64 1 (pow.f64 (cosh.f64 x) 2)))
(/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(/.f64 1 (cosh.f64 x))
(log.f64 (exp.f64 (/.f64 1 (cosh.f64 x))))
(/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(/.f64 1 (cosh.f64 x))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (cosh.f64 x)))))
(/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(/.f64 1 (cosh.f64 x))
(cbrt.f64 (pow.f64 (/.f64 1 (cosh.f64 x)) 3))
(/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(/.f64 1 (cosh.f64 x))
(expm1.f64 (log1p.f64 (/.f64 1 (cosh.f64 x))))
(/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(/.f64 1 (cosh.f64 x))
(exp.f64 (neg.f64 (log.f64 (cosh.f64 x))))
(/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(/.f64 1 (cosh.f64 x))
(exp.f64 (*.f64 (neg.f64 (log.f64 (cosh.f64 x))) 1))
(/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(/.f64 1 (cosh.f64 x))
(exp.f64 (.f64 (.f64 1/3 (neg.f64 (log.f64 (cosh.f64 x)))) 3))
(/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(/.f64 1 (cosh.f64 x))
(log1p.f64 (expm1.f64 (/.f64 1 (cosh.f64 x))))
(/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(/.f64 1 (cosh.f64 x))
(-.f64 (exp.f64 (log1p.f64 (/.f64 1 (cbrt.f64 (cosh.f64 x))))) 1)
(/.f64 1 (cbrt.f64 (cosh.f64 x)))
(*.f64 (/.f64 1 (cbrt.f64 (cosh.f64 x))) 1)
(/.f64 1 (cbrt.f64 (cosh.f64 x)))
(*.f64 1 (/.f64 1 (cbrt.f64 (cosh.f64 x))))
(/.f64 1 (cbrt.f64 (cosh.f64 x)))
(*.f64 (pow.f64 (/.f64 1 (cosh.f64 x)) 1/6) (pow.f64 (/.f64 1 (cosh.f64 x)) 1/6))
(/.f64 1 (cbrt.f64 (cosh.f64 x)))
(*.f64 (cbrt.f64 (/.f64 1 (cbrt.f64 (cosh.f64 x)))) (cbrt.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cosh.f64 x) 2)))))
(*.f64 (cbrt.f64 (/.f64 1 (cbrt.f64 (cosh.f64 x)))) (cbrt.f64 (cbrt.f64 (pow.f64 (cosh.f64 x) -2))))
(*.f64 (cbrt.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cosh.f64 x) 2)))) (cbrt.f64 (/.f64 1 (cbrt.f64 (cosh.f64 x)))))
(*.f64 (cbrt.f64 (/.f64 1 (cbrt.f64 (cosh.f64 x)))) (cbrt.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cosh.f64 x) 2)))))
(*.f64 (cbrt.f64 (/.f64 1 (cbrt.f64 (cosh.f64 x)))) (cbrt.f64 (cbrt.f64 (pow.f64 (cosh.f64 x) -2))))
(*.f64 (cbrt.f64 2) (cbrt.f64 (/.f64 1/2 (cosh.f64 x))))
(*.f64 (cbrt.f64 (/.f64 1 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))) (cbrt.f64 2))
(.f64 (cbrt.f64 2) (/.f64 1 (cbrt.f64 (.f64 2 (cosh.f64 x)))))
(/.f64 (cbrt.f64 2) (cbrt.f64 (*.f64 2 (cosh.f64 x))))
(*.f64 (cbrt.f64 2) (pow.f64 (/.f64 1/2 (cosh.f64 x)) 1/3))
(*.f64 (cbrt.f64 (/.f64 1 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))) (cbrt.f64 2))
(*.f64 (cbrt.f64 2) (cbrt.f64 (/.f64 1/2 (cosh.f64 x))))
(*.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (/.f64 1 (cbrt.f64 (cosh.f64 x))) 4))) (sqrt.f64 (cbrt.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cosh.f64 x) 2))))))
(*.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (/.f64 1 (cbrt.f64 (cosh.f64 x))) 4))) (sqrt.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (cosh.f64 x) -2)))))
(*.f64 (pow.f64 1 1/3) (/.f64 1 (cbrt.f64 (cosh.f64 x))))
(/.f64 1 (cbrt.f64 (cosh.f64 x)))
(*.f64 (pow.f64 (/.f64 1 (sqrt.f64 (cosh.f64 x))) 1/3) (pow.f64 (/.f64 1 (sqrt.f64 (cosh.f64 x))) 1/3))
(*.f64 (cbrt.f64 (/.f64 1 (sqrt.f64 (cosh.f64 x)))) (cbrt.f64 (/.f64 1 (sqrt.f64 (cosh.f64 x)))))
(pow.f64 (pow.f64 (/.f64 1 (sqrt.f64 (cosh.f64 x))) 1/6) 4)
(/.f64 1 (cbrt.f64 (cosh.f64 x)))
(/.f64 (cbrt.f64 2) (cbrt.f64 (*.f64 2 (cosh.f64 x))))
(.f64 (cbrt.f64 2) (/.f64 1 (cbrt.f64 (.f64 2 (cosh.f64 x)))))
(/.f64 (cbrt.f64 -2) (cbrt.f64 (*.f64 (cosh.f64 x) -2)))
(/.f64 (neg.f64 (cbrt.f64 2)) (neg.f64 (cbrt.f64 (*.f64 2 (cosh.f64 x)))))
(.f64 (cbrt.f64 2) (/.f64 1 (cbrt.f64 (.f64 2 (cosh.f64 x)))))
(/.f64 (cbrt.f64 2) (cbrt.f64 (*.f64 2 (cosh.f64 x))))
(pow.f64 (/.f64 1 (cosh.f64 x)) 1/3)
(/.f64 1 (cbrt.f64 (cosh.f64 x)))
(pow.f64 (/.f64 1 (cbrt.f64 (cosh.f64 x))) 1)
(/.f64 1 (cbrt.f64 (cosh.f64 x)))
(pow.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cosh.f64 x) 2))) 1/2)
(sqrt.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cosh.f64 x) 2))))
(sqrt.f64 (cbrt.f64 (pow.f64 (cosh.f64 x) -2)))
(pow.f64 (pow.f64 (/.f64 1 (cosh.f64 x)) 1/6) 2)
(/.f64 1 (cbrt.f64 (cosh.f64 x)))
(pow.f64 (cbrt.f64 (/.f64 1 (cbrt.f64 (cosh.f64 x)))) 3)
(/.f64 1 (cbrt.f64 (cosh.f64 x)))
(sqrt.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cosh.f64 x) 2))))
(sqrt.f64 (cbrt.f64 (pow.f64 (cosh.f64 x) -2)))
(fabs.f64 (/.f64 1 (cbrt.f64 (cosh.f64 x))))
(/.f64 1 (cbrt.f64 (cosh.f64 x)))
(log.f64 (exp.f64 (/.f64 1 (cbrt.f64 (cosh.f64 x)))))
(/.f64 1 (cbrt.f64 (cosh.f64 x)))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (cbrt.f64 (cosh.f64 x))))))
(/.f64 1 (cbrt.f64 (cosh.f64 x)))
(expm1.f64 (log1p.f64 (/.f64 1 (cbrt.f64 (cosh.f64 x)))))
(/.f64 1 (cbrt.f64 (cosh.f64 x)))
(exp.f64 (*.f64 1/3 (neg.f64 (log.f64 (cosh.f64 x)))))
(/.f64 1 (cbrt.f64 (cosh.f64 x)))
(exp.f64 (*.f64 (neg.f64 (log.f64 (cosh.f64 x))) 1/3))
(/.f64 1 (cbrt.f64 (cosh.f64 x)))
(exp.f64 (.f64 (.f64 1/3 (neg.f64 (log.f64 (cosh.f64 x)))) 1))
(/.f64 1 (cbrt.f64 (cosh.f64 x)))
(log1p.f64 (expm1.f64 (/.f64 1 (cbrt.f64 (cosh.f64 x)))))
(/.f64 1 (cbrt.f64 (cosh.f64 x)))

eval502.0ms (10.2%)

Compiler: Compiled 30855 to 21609 computations (30% saved)

prune286.0ms (5.8%)

Pruning

8 alts after pruning (5 fresh and 3 done)

	Pruned	Kept	Total
New	1320	4	1324
Fresh	0	1	1
Picked	1	0	1
Done	1	3	4
Total	1322	8	1330

Error

Counts

1330 → 8

Alt Table

Click to see full alt table

Status	Error	Program
▶	0.0b	(pow.f64 (/.f64 1 (cbrt.f64 (cosh.f64 x))) 3)
▶	48.0b	(/.f64 (/.f64 2 x) x)
✓	17.3b	(/.f64 2 (+.f64 2 (*.f64 x x)))
▶	47.9b	(/.f64 2 (*.f64 x x))
✓	0.0b	(/.f64 1 (cosh.f64 x))
✓	32.2b	(+.f64 1 (.f64 (.f64 x x) -1/2))
▶	0.0b	(cbrt.f64 (pow.f64 (/.f64 1 (cosh.f64 x)) 3))
	31.7b	1

Compiler

Compiled 51 to 40 computations (21.6% saved)

localize9.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.0b	(cosh.f64 x)
✓	0.0b	(cbrt.f64 (pow.f64 (/.f64 1 (cosh.f64 x)) 3))
	0.0b	(/.f64 1 (cosh.f64 x))
✓	0.0b	(pow.f64 (/.f64 1 (cosh.f64 x)) 3)

Compiler

Compiled 23 to 15 computations (34.8% saved)

series2.0ms (0%)

Counts

2 → 24

Calls

6 calls:

Time	Variable		Point	Expression
1.0ms	x	@	inf	(pow.f64 (/.f64 1 (cosh.f64 x)) 3)
1.0ms	x	@	-inf	(pow.f64 (/.f64 1 (cosh.f64 x)) 3)
0.0ms	x	@	0	(pow.f64 (/.f64 1 (cosh.f64 x)) 3)
0.0ms	x	@	0	(cbrt.f64 (pow.f64 (/.f64 1 (cosh.f64 x)) 3))
0.0ms	x	@	inf	(cbrt.f64 (pow.f64 (/.f64 1 (cosh.f64 x)) 3))

rewrite59.0ms (1.2%)

Algorithm

1×	batch-egg-rewrite

Rules

1656×	`add-sqr-sqrt`
1618×	`*-un-lft-identity`
1530×	`add-cube-cbrt`
1514×	`add-cbrt-cube`
172×	`add-exp-log`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	10	28
1	209	22
2	2205	22

Stop Event

1×	node limit

Counts

2 → 62

Calls

Call 1

Inputs
(pow.f64 (/.f64 1 (cosh.f64 x)) 3)
(cbrt.f64 (pow.f64 (/.f64 1 (cosh.f64 x)) 3))

Outputs

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

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

simplify67.0ms (1.4%)

Algorithm

1×	egg-herbie

Rules

848×	`associate-/l*`
826×	`distribute-lft-neg-in`
798×	`associate-/r*`
796×	`associate-+r+`
740×	`associate-*r/`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	161	1910
1	380	1858
2	1330	1364
3	5741	1364

Stop Event

1×	node limit

Counts

86 → 98

Calls

Call 1

Inputs
1
(+.f64 1 (*.f64 -3/2 (pow.f64 x 2)))
(+.f64 1 (+.f64 (.f64 -3/2 (pow.f64 x 2)) (.f64 11/8 (pow.f64 x 4))))
(+.f64 (.f64 -241/240 (pow.f64 x 6)) (+.f64 1 (+.f64 (.f64 -3/2 (pow.f64 x 2)) (*.f64 11/8 (pow.f64 x 4)))))
(/.f64 8 (pow.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) 3))
(/.f64 8 (pow.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) 3))
(/.f64 8 (pow.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) 3))
(/.f64 8 (pow.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) 3))
(/.f64 8 (pow.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) 3))
(/.f64 8 (pow.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) 3))
(/.f64 8 (pow.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) 3))
(/.f64 8 (pow.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) 3))
1
(+.f64 1 (*.f64 -1/2 (pow.f64 x 2)))
(+.f64 1 (+.f64 (.f64 -1/2 (pow.f64 x 2)) (.f64 5/24 (pow.f64 x 4))))
(+.f64 1 (+.f64 (.f64 -1/2 (pow.f64 x 2)) (+.f64 (.f64 -61/720 (pow.f64 x 6)) (*.f64 5/24 (pow.f64 x 4)))))
(/.f64 2 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))
(/.f64 2 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))
(/.f64 2 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))
(/.f64 2 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))
(/.f64 2 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))
(/.f64 2 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))
(/.f64 2 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))
(/.f64 2 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (cosh.f64 x) -3))) 1)
(*.f64 1 (pow.f64 (cosh.f64 x) -3))
(*.f64 (/.f64 1 (cosh.f64 x)) (pow.f64 (cosh.f64 x) -2))
(*.f64 (pow.f64 (cosh.f64 x) -3) 1)
(*.f64 (pow.f64 (cosh.f64 x) -3/2) (pow.f64 (cosh.f64 x) -3/2))
(.f64 (pow.f64 (cosh.f64 x) -1/2) (.f64 (pow.f64 (cosh.f64 x) -1/2) (pow.f64 (cosh.f64 x) -2)))
(.f64 (cbrt.f64 (pow.f64 (cosh.f64 x) -2)) (.f64 (/.f64 1 (cbrt.f64 (cosh.f64 x))) (pow.f64 (cosh.f64 x) -2)))
(*.f64 (pow.f64 (cosh.f64 x) -2) (/.f64 1 (cosh.f64 x)))
(.f64 (.f64 (pow.f64 (cosh.f64 x) -2) 1) (/.f64 1 (cosh.f64 x)))
(.f64 (.f64 (pow.f64 (cosh.f64 x) -2) (pow.f64 (cosh.f64 x) -1/2)) (pow.f64 (cosh.f64 x) -1/2))
(.f64 (.f64 (pow.f64 (cosh.f64 x) -2) (cbrt.f64 (pow.f64 (cosh.f64 x) -2))) (/.f64 1 (cbrt.f64 (cosh.f64 x))))
(*.f64 (pow.f64 (pow.f64 (cosh.f64 x) -1/2) 3) (pow.f64 (pow.f64 (cosh.f64 x) -1/2) 3))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (cosh.f64 x) -2)) 3) (/.f64 1 (cosh.f64 x)))
(/.f64 1 (pow.f64 (cosh.f64 x) 3))
(/.f64 1 (/.f64 (pow.f64 (cosh.f64 x) 3) 1))
(/.f64 (pow.f64 (cosh.f64 x) -2) (cosh.f64 x))
(/.f64 -1 (neg.f64 (pow.f64 (cosh.f64 x) 3)))
(/.f64 -1 (pow.f64 (neg.f64 (cosh.f64 x)) 3))
(/.f64 (*.f64 (pow.f64 (cosh.f64 x) -2) 1) (cosh.f64 x))
(/.f64 (*.f64 (pow.f64 (cosh.f64 x) -2) -1) (neg.f64 (cosh.f64 x)))
(/.f64 (*.f64 -1 (pow.f64 (cosh.f64 x) -2)) (neg.f64 (cosh.f64 x)))
(sqrt.f64 (pow.f64 (pow.f64 (cosh.f64 x) -2) 3))
(log.f64 (exp.f64 (pow.f64 (cosh.f64 x) -3)))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (cosh.f64 x) -3))))
(cbrt.f64 (pow.f64 (pow.f64 (cosh.f64 x) -3) 3))
(expm1.f64 (log1p.f64 (pow.f64 (cosh.f64 x) -3)))
(exp.f64 (log.f64 (pow.f64 (cosh.f64 x) -3)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (cosh.f64 x) -3)) 1))
(log1p.f64 (expm1.f64 (pow.f64 (cosh.f64 x) -3)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 1 (cosh.f64 x)))) 1)
(*.f64 1 (/.f64 1 (cosh.f64 x)))
(*.f64 (/.f64 1 (cosh.f64 x)) 1)
(*.f64 (pow.f64 (cosh.f64 x) -1/2) (pow.f64 (cosh.f64 x) -1/2))
(*.f64 (/.f64 1 (cbrt.f64 (cosh.f64 x))) (cbrt.f64 (pow.f64 (cosh.f64 x) -2)))
(*.f64 (/.f64 1 (cbrt.f64 (cosh.f64 x))) (pow.f64 (pow.f64 (cosh.f64 x) -2) 1/3))
(*.f64 (cbrt.f64 (pow.f64 (cosh.f64 x) -2)) (/.f64 1 (cbrt.f64 (cosh.f64 x))))
(*.f64 -1 (/.f64 1 (neg.f64 (cosh.f64 x))))
(.f64 (/.f64 1 (.f64 2 (cosh.f64 x))) 2)
(*.f64 (pow.f64 (sqrt.f64 (cosh.f64 x)) -1) (pow.f64 (sqrt.f64 (cosh.f64 x)) -1))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cosh.f64 x)) 2) -1) (pow.f64 (cbrt.f64 (cosh.f64 x)) -1))
(*.f64 (pow.f64 1 1/3) (/.f64 1 (cosh.f64 x)))
(*.f64 (pow.f64 (pow.f64 (cosh.f64 x) -2) 1/3) (/.f64 1 (cbrt.f64 (cosh.f64 x))))
(*.f64 (pow.f64 (pow.f64 (cosh.f64 x) -3/2) 1/3) (pow.f64 (pow.f64 (cosh.f64 x) -3/2) 1/3))
(/.f64 1 (cosh.f64 x))
(/.f64 1 (neg.f64 (neg.f64 (cosh.f64 x))))
(/.f64 (pow.f64 (cosh.f64 x) -1/2) (sqrt.f64 (cosh.f64 x)))
(/.f64 -1 (neg.f64 (cosh.f64 x)))
(/.f64 (/.f64 1 (pow.f64 (cbrt.f64 (cosh.f64 x)) 2)) (cbrt.f64 (cosh.f64 x)))
(pow.f64 (cosh.f64 x) -1)
(pow.f64 (/.f64 1 (cosh.f64 x)) 1)
(pow.f64 (pow.f64 (cosh.f64 x) -3) 1/3)
(pow.f64 (pow.f64 (cosh.f64 x) -1/2) 2)
(pow.f64 (/.f64 1 (cbrt.f64 (cosh.f64 x))) 3)
(sqrt.f64 (pow.f64 (cosh.f64 x) -2))
(log.f64 (exp.f64 (/.f64 1 (cosh.f64 x))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (cosh.f64 x)))))
(expm1.f64 (log1p.f64 (/.f64 1 (cosh.f64 x))))
(exp.f64 (neg.f64 (log.f64 (cosh.f64 x))))
(exp.f64 (*.f64 (log.f64 (cosh.f64 x)) -1))
(exp.f64 (*.f64 (neg.f64 (log.f64 (cosh.f64 x))) 1))
(exp.f64 (*.f64 (log.f64 (pow.f64 (cosh.f64 x) -3)) 1/3))
(log1p.f64 (expm1.f64 (/.f64 1 (cosh.f64 x))))

Outputs
1
(+.f64 1 (*.f64 -3/2 (pow.f64 x 2)))
(+.f64 1 (.f64 -3/2 (.f64 x x)))
(fma.f64 -3/2 (*.f64 x x) 1)
(+.f64 1 (+.f64 (.f64 -3/2 (pow.f64 x 2)) (.f64 11/8 (pow.f64 x 4))))
(+.f64 1 (fma.f64 -3/2 (.f64 x x) (.f64 11/8 (pow.f64 x 4))))
(+.f64 (fma.f64 -3/2 (.f64 x x) 1) (.f64 11/8 (pow.f64 x 4)))
(fma.f64 -3/2 (*.f64 x x) (fma.f64 11/8 (pow.f64 x 4) 1))
(+.f64 (.f64 -241/240 (pow.f64 x 6)) (+.f64 1 (+.f64 (.f64 -3/2 (pow.f64 x 2)) (*.f64 11/8 (pow.f64 x 4)))))
(fma.f64 -241/240 (pow.f64 x 6) (+.f64 1 (fma.f64 -3/2 (.f64 x x) (.f64 11/8 (pow.f64 x 4)))))
(fma.f64 -241/240 (pow.f64 x 6) (+.f64 (fma.f64 -3/2 (.f64 x x) 1) (.f64 11/8 (pow.f64 x 4))))
(fma.f64 -241/240 (pow.f64 x 6) (fma.f64 -3/2 (*.f64 x x) (fma.f64 11/8 (pow.f64 x 4) 1)))
(/.f64 8 (pow.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) 3))
(/.f64 8 (pow.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) 3))
(/.f64 8 (pow.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) 3))
(/.f64 8 (pow.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) 3))
(/.f64 8 (pow.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) 3))
(/.f64 8 (pow.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) 3))
(/.f64 8 (pow.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) 3))
(/.f64 8 (pow.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) 3))
(/.f64 8 (pow.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) 3))
(/.f64 8 (pow.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) 3))
(/.f64 8 (pow.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) 3))
(/.f64 8 (pow.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) 3))
(/.f64 8 (pow.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) 3))
(/.f64 8 (pow.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) 3))
(/.f64 8 (pow.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) 3))
(/.f64 8 (pow.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) 3))
1
(+.f64 1 (*.f64 -1/2 (pow.f64 x 2)))
(+.f64 1 (.f64 (.f64 x x) -1/2))
(fma.f64 (*.f64 x x) -1/2 1)
(fma.f64 x (*.f64 x -1/2) 1)
(+.f64 1 (+.f64 (.f64 -1/2 (pow.f64 x 2)) (.f64 5/24 (pow.f64 x 4))))
(+.f64 1 (fma.f64 -1/2 (.f64 x x) (.f64 (pow.f64 x 4) 5/24)))
(+.f64 (fma.f64 (.f64 x x) -1/2 1) (.f64 (pow.f64 x 4) 5/24))
(fma.f64 x (*.f64 x -1/2) (fma.f64 (pow.f64 x 4) 5/24 1))
(+.f64 1 (+.f64 (.f64 -1/2 (pow.f64 x 2)) (+.f64 (.f64 -61/720 (pow.f64 x 6)) (*.f64 5/24 (pow.f64 x 4)))))
(+.f64 1 (fma.f64 -1/2 (.f64 x x) (fma.f64 -61/720 (pow.f64 x 6) (.f64 (pow.f64 x 4) 5/24))))
(+.f64 (fma.f64 (.f64 x x) -1/2 1) (fma.f64 (pow.f64 x 4) 5/24 (.f64 (pow.f64 x 6) -61/720)))
(+.f64 1 (fma.f64 (pow.f64 x 4) 5/24 (fma.f64 (pow.f64 x 6) -61/720 (.f64 x (.f64 x -1/2)))))
(/.f64 2 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))
(/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(/.f64 1 (cosh.f64 x))
(/.f64 2 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))
(/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(/.f64 1 (cosh.f64 x))
(/.f64 2 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))
(/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(/.f64 1 (cosh.f64 x))
(/.f64 2 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))
(/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(/.f64 1 (cosh.f64 x))
(/.f64 2 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))
(/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(/.f64 1 (cosh.f64 x))
(/.f64 2 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))
(/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(/.f64 1 (cosh.f64 x))
(/.f64 2 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))
(/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(/.f64 1 (cosh.f64 x))
(/.f64 2 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))
(/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(/.f64 1 (cosh.f64 x))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (cosh.f64 x) -3))) 1)
(pow.f64 (cosh.f64 x) -3)
(*.f64 1 (pow.f64 (cosh.f64 x) -3))
(pow.f64 (cosh.f64 x) -3)
(*.f64 (/.f64 1 (cosh.f64 x)) (pow.f64 (cosh.f64 x) -2))
(pow.f64 (cosh.f64 x) -3)
(*.f64 (pow.f64 (cosh.f64 x) -3) 1)
(pow.f64 (cosh.f64 x) -3)
(*.f64 (pow.f64 (cosh.f64 x) -3/2) (pow.f64 (cosh.f64 x) -3/2))
(pow.f64 (cosh.f64 x) -3)
(.f64 (pow.f64 (cosh.f64 x) -1/2) (.f64 (pow.f64 (cosh.f64 x) -1/2) (pow.f64 (cosh.f64 x) -2)))
(pow.f64 (cosh.f64 x) -3)
(.f64 (cbrt.f64 (pow.f64 (cosh.f64 x) -2)) (.f64 (/.f64 1 (cbrt.f64 (cosh.f64 x))) (pow.f64 (cosh.f64 x) -2)))
(*.f64 (cbrt.f64 (pow.f64 (cosh.f64 x) -2)) (/.f64 (pow.f64 (cosh.f64 x) -2) (cbrt.f64 (cosh.f64 x))))
(/.f64 (pow.f64 (cbrt.f64 (pow.f64 (cosh.f64 x) -2)) 4) (cbrt.f64 (cosh.f64 x)))
(*.f64 (pow.f64 (cosh.f64 x) -2) (/.f64 1 (cosh.f64 x)))
(pow.f64 (cosh.f64 x) -3)
(.f64 (.f64 (pow.f64 (cosh.f64 x) -2) 1) (/.f64 1 (cosh.f64 x)))
(pow.f64 (cosh.f64 x) -3)
(.f64 (.f64 (pow.f64 (cosh.f64 x) -2) (pow.f64 (cosh.f64 x) -1/2)) (pow.f64 (cosh.f64 x) -1/2))
(pow.f64 (cosh.f64 x) -3)
(.f64 (.f64 (pow.f64 (cosh.f64 x) -2) (cbrt.f64 (pow.f64 (cosh.f64 x) -2))) (/.f64 1 (cbrt.f64 (cosh.f64 x))))
(*.f64 (cbrt.f64 (pow.f64 (cosh.f64 x) -2)) (/.f64 (pow.f64 (cosh.f64 x) -2) (cbrt.f64 (cosh.f64 x))))
(/.f64 (pow.f64 (cbrt.f64 (pow.f64 (cosh.f64 x) -2)) 4) (cbrt.f64 (cosh.f64 x)))
(*.f64 (pow.f64 (pow.f64 (cosh.f64 x) -1/2) 3) (pow.f64 (pow.f64 (cosh.f64 x) -1/2) 3))
(pow.f64 (cosh.f64 x) -3)
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (cosh.f64 x) -2)) 3) (/.f64 1 (cosh.f64 x)))
(pow.f64 (cosh.f64 x) -3)
(/.f64 1 (pow.f64 (cosh.f64 x) 3))
(pow.f64 (cosh.f64 x) -3)
(/.f64 1 (/.f64 (pow.f64 (cosh.f64 x) 3) 1))
(pow.f64 (cosh.f64 x) -3)
(/.f64 (pow.f64 (cosh.f64 x) -2) (cosh.f64 x))
(pow.f64 (cosh.f64 x) -3)
(/.f64 -1 (neg.f64 (pow.f64 (cosh.f64 x) 3)))
(pow.f64 (cosh.f64 x) -3)
(/.f64 -1 (pow.f64 (neg.f64 (cosh.f64 x)) 3))
(pow.f64 (cosh.f64 x) -3)
(/.f64 (*.f64 (pow.f64 (cosh.f64 x) -2) 1) (cosh.f64 x))
(pow.f64 (cosh.f64 x) -3)
(/.f64 (*.f64 (pow.f64 (cosh.f64 x) -2) -1) (neg.f64 (cosh.f64 x)))
(pow.f64 (cosh.f64 x) -3)
(/.f64 (*.f64 -1 (pow.f64 (cosh.f64 x) -2)) (neg.f64 (cosh.f64 x)))
(pow.f64 (cosh.f64 x) -3)
(sqrt.f64 (pow.f64 (pow.f64 (cosh.f64 x) -2) 3))
(fabs.f64 (pow.f64 (pow.f64 (cosh.f64 x) -2) 3/2))
(sqrt.f64 (pow.f64 (cosh.f64 x) -6))
(log.f64 (exp.f64 (pow.f64 (cosh.f64 x) -3)))
(pow.f64 (cosh.f64 x) -3)
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (cosh.f64 x) -3))))
(pow.f64 (cosh.f64 x) -3)
(cbrt.f64 (pow.f64 (pow.f64 (cosh.f64 x) -3) 3))
(pow.f64 (cosh.f64 x) -3)
(expm1.f64 (log1p.f64 (pow.f64 (cosh.f64 x) -3)))
(pow.f64 (cosh.f64 x) -3)
(exp.f64 (log.f64 (pow.f64 (cosh.f64 x) -3)))
(pow.f64 (cosh.f64 x) -3)
(exp.f64 (*.f64 (log.f64 (pow.f64 (cosh.f64 x) -3)) 1))
(pow.f64 (cosh.f64 x) -3)
(log1p.f64 (expm1.f64 (pow.f64 (cosh.f64 x) -3)))
(pow.f64 (cosh.f64 x) -3)
(-.f64 (exp.f64 (log1p.f64 (/.f64 1 (cosh.f64 x)))) 1)
(/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(/.f64 1 (cosh.f64 x))
(*.f64 1 (/.f64 1 (cosh.f64 x)))
(/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(/.f64 1 (cosh.f64 x))
(*.f64 (/.f64 1 (cosh.f64 x)) 1)
(/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(/.f64 1 (cosh.f64 x))
(*.f64 (pow.f64 (cosh.f64 x) -1/2) (pow.f64 (cosh.f64 x) -1/2))
(/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(/.f64 1 (cosh.f64 x))
(*.f64 (/.f64 1 (cbrt.f64 (cosh.f64 x))) (cbrt.f64 (pow.f64 (cosh.f64 x) -2)))
(*.f64 (cbrt.f64 (pow.f64 (cosh.f64 x) -2)) (/.f64 1 (cbrt.f64 (cosh.f64 x))))
(/.f64 (cbrt.f64 (pow.f64 (cosh.f64 x) -2)) (cbrt.f64 (cosh.f64 x)))
(*.f64 (/.f64 1 (cbrt.f64 (cosh.f64 x))) (pow.f64 (pow.f64 (cosh.f64 x) -2) 1/3))
(*.f64 (cbrt.f64 (pow.f64 (cosh.f64 x) -2)) (/.f64 1 (cbrt.f64 (cosh.f64 x))))
(/.f64 (cbrt.f64 (pow.f64 (cosh.f64 x) -2)) (cbrt.f64 (cosh.f64 x)))
(*.f64 (cbrt.f64 (pow.f64 (cosh.f64 x) -2)) (/.f64 1 (cbrt.f64 (cosh.f64 x))))
(/.f64 (cbrt.f64 (pow.f64 (cosh.f64 x) -2)) (cbrt.f64 (cosh.f64 x)))
(*.f64 -1 (/.f64 1 (neg.f64 (cosh.f64 x))))
(/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(/.f64 1 (cosh.f64 x))
(.f64 (/.f64 1 (.f64 2 (cosh.f64 x))) 2)
(/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(/.f64 1 (cosh.f64 x))
(*.f64 (pow.f64 (sqrt.f64 (cosh.f64 x)) -1) (pow.f64 (sqrt.f64 (cosh.f64 x)) -1))
(pow.f64 (sqrt.f64 (cosh.f64 x)) -2)
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cosh.f64 x)) 2) -1) (pow.f64 (cbrt.f64 (cosh.f64 x)) -1))
(/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(/.f64 1 (cosh.f64 x))
(*.f64 (pow.f64 1 1/3) (/.f64 1 (cosh.f64 x)))
(/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(/.f64 1 (cosh.f64 x))
(*.f64 (pow.f64 (pow.f64 (cosh.f64 x) -2) 1/3) (/.f64 1 (cbrt.f64 (cosh.f64 x))))
(*.f64 (cbrt.f64 (pow.f64 (cosh.f64 x) -2)) (/.f64 1 (cbrt.f64 (cosh.f64 x))))
(/.f64 (cbrt.f64 (pow.f64 (cosh.f64 x) -2)) (cbrt.f64 (cosh.f64 x)))
(*.f64 (pow.f64 (pow.f64 (cosh.f64 x) -3/2) 1/3) (pow.f64 (pow.f64 (cosh.f64 x) -3/2) 1/3))
(*.f64 (cbrt.f64 (pow.f64 (cosh.f64 x) -3/2)) (cbrt.f64 (pow.f64 (cosh.f64 x) -3/2)))
(/.f64 1 (cosh.f64 x))
(/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(/.f64 1 (neg.f64 (neg.f64 (cosh.f64 x))))
(/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(/.f64 1 (cosh.f64 x))
(/.f64 (pow.f64 (cosh.f64 x) -1/2) (sqrt.f64 (cosh.f64 x)))
(/.f64 -1 (neg.f64 (cosh.f64 x)))
(/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(/.f64 1 (cosh.f64 x))
(/.f64 (/.f64 1 (pow.f64 (cbrt.f64 (cosh.f64 x)) 2)) (cbrt.f64 (cosh.f64 x)))
(/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(/.f64 1 (cosh.f64 x))
(pow.f64 (cosh.f64 x) -1)
(/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(/.f64 1 (cosh.f64 x))
(pow.f64 (/.f64 1 (cosh.f64 x)) 1)
(/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(/.f64 1 (cosh.f64 x))
(pow.f64 (pow.f64 (cosh.f64 x) -3) 1/3)
(/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(/.f64 1 (cosh.f64 x))
(pow.f64 (pow.f64 (cosh.f64 x) -1/2) 2)
(/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(/.f64 1 (cosh.f64 x))
(pow.f64 (/.f64 1 (cbrt.f64 (cosh.f64 x))) 3)
(/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(/.f64 1 (cosh.f64 x))
(sqrt.f64 (pow.f64 (cosh.f64 x) -2))
(/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(/.f64 1 (cosh.f64 x))
(log.f64 (exp.f64 (/.f64 1 (cosh.f64 x))))
(/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(/.f64 1 (cosh.f64 x))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (cosh.f64 x)))))
(/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(/.f64 1 (cosh.f64 x))
(expm1.f64 (log1p.f64 (/.f64 1 (cosh.f64 x))))
(/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(/.f64 1 (cosh.f64 x))
(exp.f64 (neg.f64 (log.f64 (cosh.f64 x))))
(/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(/.f64 1 (cosh.f64 x))
(exp.f64 (*.f64 (log.f64 (cosh.f64 x)) -1))
(/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(/.f64 1 (cosh.f64 x))
(exp.f64 (*.f64 (neg.f64 (log.f64 (cosh.f64 x))) 1))
(/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(/.f64 1 (cosh.f64 x))
(exp.f64 (*.f64 (log.f64 (pow.f64 (cosh.f64 x) -3)) 1/3))
(/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(/.f64 1 (cosh.f64 x))
(log1p.f64 (expm1.f64 (/.f64 1 (cosh.f64 x))))
(/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(/.f64 1 (cosh.f64 x))

localize4.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.3b	(/.f64 2 (*.f64 x x))

Compiler

Compiled 11 to 5 computations (54.5% saved)

series1.0ms (0%)

Counts

1 → 12

Calls

3 calls:

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

rewrite49.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

1198×	`add-sqr-sqrt`
1176×	`*-un-lft-identity`
1120×	`pow1`
1100×	`add-cube-cbrt`
1092×	`add-cbrt-cube`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	13
1	128	13
2	1563	13

Stop Event

1×	node limit

Counts

1 → 21

Calls

Call 1

Inputs
(/.f64 2 (*.f64 x x))

Outputs

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

simplify45.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

1406×	`distribute-rgt-in`
1398×	`associate-/r*`
1372×	`distribute-lft-in`
992×	`associate-+r+`
956×	`associate-+l+`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	57	485
1	134	485
2	448	485
3	2605	485

Stop Event

1×	node limit

Counts

33 → 24

Calls

Call 1

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

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

localize5.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.2b	(/.f64 (/.f64 2 x) x)

Compiler

Compiled 11 to 7 computations (36.4% saved)

series0.0ms (0%)

Counts

1 → 12

Calls

3 calls:

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

rewrite52.0ms (1.1%)

Algorithm

1×	batch-egg-rewrite

Rules

1378×	`add-sqr-sqrt`
1356×	`*-un-lft-identity`
1274×	`add-cube-cbrt`
1260×	`add-cbrt-cube`
1248×	`add-exp-log`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	13
1	132	13
2	1713	13

Stop Event

1×	node limit

Counts

1 → 36

Calls

Call 1

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

Outputs

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

simplify130.0ms (2.7%)

Algorithm

1×	egg-herbie

Rules

1518×	`associate-+r+`
1368×	`associate-+l+`
882×	`distribute-rgt-in`
850×	`distribute-lft-in`
736×	`associate-*r/`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	97	744
1	255	726
2	879	726
3	3763	726

Stop Event

1×	node limit

Counts

48 → 43

Calls

Call 1

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

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

localize8.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(/.f64 1 (cbrt.f64 (cosh.f64 x)))
	0.0b	(cosh.f64 x)
✓	0.0b	(cbrt.f64 (cosh.f64 x))
✓	0.0b	(pow.f64 (/.f64 1 (cbrt.f64 (cosh.f64 x))) 3)

Compiler

Compiled 21 to 11 computations (47.6% saved)

series100.0ms (2%)

Counts

3 → 36

Calls

9 calls:

Time	Variable		Point	Expression
91.0ms	x	@	-inf	(pow.f64 (/.f64 1 (cbrt.f64 (cosh.f64 x))) 3)
3.0ms	x	@	0	(cbrt.f64 (cosh.f64 x))
2.0ms	x	@	inf	(pow.f64 (/.f64 1 (cbrt.f64 (cosh.f64 x))) 3)
2.0ms	x	@	inf	(cbrt.f64 (cosh.f64 x))
1.0ms	x	@	-inf	(cbrt.f64 (cosh.f64 x))

rewrite64.0ms (1.3%)

Algorithm

1×	batch-egg-rewrite

Rules

1770×	`add-sqr-sqrt`
1730×	`*-un-lft-identity`
1636×	`add-cube-cbrt`
1620×	`add-cbrt-cube`
182×	`add-exp-log`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	10	45
1	208	35
2	2348	35

Stop Event

1×	node limit

Counts

3 → 80

Calls

Call 1

Inputs
(pow.f64 (/.f64 1 (cbrt.f64 (cosh.f64 x))) 3)
(cbrt.f64 (cosh.f64 x))
(/.f64 1 (cbrt.f64 (cosh.f64 x)))

Outputs

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

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

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

simplify80.0ms (1.6%)

Algorithm

1×	egg-herbie

Rules

1348×	`associate-*r/`
1268×	`associate-+l+`
774×	`associate-*l/`
584×	`*-commutative`
506×	`associate-/r/`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	208	2816
1	467	2084
2	1731	2070
3	7123	2070

Stop Event

1×	node limit

Counts

116 → 131

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 5/24 (pow.f64 x 4))))
(+.f64 1 (+.f64 (.f64 -1/2 (pow.f64 x 2)) (+.f64 (.f64 -61/720 (pow.f64 x 6)) (*.f64 5/24 (pow.f64 x 4)))))
(.f64 2 (.f64 (/.f64 1 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))) (pow.f64 1 1/3)))
(.f64 2 (.f64 (/.f64 1 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))) (pow.f64 1 1/3)))
(.f64 2 (.f64 (/.f64 1 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))) (pow.f64 1 1/3)))
(.f64 2 (.f64 (/.f64 1 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))) (pow.f64 1 1/3)))
(.f64 2 (.f64 (/.f64 1 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))) (pow.f64 1 1/3)))
(.f64 2 (.f64 (/.f64 1 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))) (pow.f64 1 1/3)))
(.f64 2 (.f64 (/.f64 1 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))) (pow.f64 1 1/3)))
(.f64 2 (.f64 (/.f64 1 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))) (pow.f64 1 1/3)))
1
(+.f64 (*.f64 1/6 (pow.f64 x 2)) 1)
(+.f64 (.f64 1/6 (pow.f64 x 2)) (+.f64 (.f64 -1/72 (pow.f64 x 4)) 1))
(+.f64 (.f64 1/6 (pow.f64 x 2)) (+.f64 (.f64 -1/72 (pow.f64 x 4)) (+.f64 1 (*.f64 23/6480 (pow.f64 x 6)))))
(.f64 (pow.f64 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) 1) 1/3) (cbrt.f64 1/2))
(.f64 (pow.f64 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) 1) 1/3) (cbrt.f64 1/2))
(.f64 (pow.f64 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) 1) 1/3) (cbrt.f64 1/2))
(.f64 (pow.f64 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) 1) 1/3) (cbrt.f64 1/2))
(.f64 (pow.f64 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) 1) 1/3) (cbrt.f64 1/2))
(.f64 (pow.f64 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) 1) 1/3) (cbrt.f64 1/2))
(.f64 (pow.f64 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) 1) 1/3) (cbrt.f64 1/2))
(.f64 (pow.f64 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) 1) 1/3) (cbrt.f64 1/2))
1
(+.f64 1 (*.f64 -1/6 (pow.f64 x 2)))
(+.f64 1 (+.f64 (.f64 -1/6 (pow.f64 x 2)) (.f64 1/24 (pow.f64 x 4))))
(+.f64 1 (+.f64 (.f64 -1/6 (pow.f64 x 2)) (+.f64 (.f64 1/24 (pow.f64 x 4)) (*.f64 -83/6480 (pow.f64 x 6)))))
(*.f64 (pow.f64 (/.f64 1 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))) 1/3) (cbrt.f64 2))
(*.f64 (pow.f64 (/.f64 1 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))) 1/3) (cbrt.f64 2))
(*.f64 (pow.f64 (/.f64 1 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))) 1/3) (cbrt.f64 2))
(*.f64 (pow.f64 (/.f64 1 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))) 1/3) (cbrt.f64 2))
(*.f64 (pow.f64 (/.f64 1 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))) 1/3) (cbrt.f64 2))
(*.f64 (pow.f64 (/.f64 1 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))) 1/3) (cbrt.f64 2))
(*.f64 (pow.f64 (/.f64 1 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))) 1/3) (cbrt.f64 2))
(*.f64 (pow.f64 (/.f64 1 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))) 1/3) (cbrt.f64 2))
(-.f64 (exp.f64 (log1p.f64 (/.f64 1 (cosh.f64 x)))) 1)
(*.f64 1 (/.f64 1 (cosh.f64 x)))
(*.f64 (/.f64 1 (cbrt.f64 (cosh.f64 x))) (pow.f64 (cbrt.f64 (cosh.f64 x)) -2))
(*.f64 (/.f64 1 (cosh.f64 x)) 1)
(.f64 (pow.f64 (cbrt.f64 (cosh.f64 x)) -1/2) (.f64 (pow.f64 (cbrt.f64 (cosh.f64 x)) -1/2) (pow.f64 (cbrt.f64 (cosh.f64 x)) -2)))
(*.f64 (/.f64 1 (sqrt.f64 (cosh.f64 x))) (/.f64 1 (sqrt.f64 (cosh.f64 x))))
(.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (cosh.f64 x)) -2)) (.f64 (/.f64 1 (cbrt.f64 (cbrt.f64 (cosh.f64 x)))) (pow.f64 (cbrt.f64 (cosh.f64 x)) -2)))
(*.f64 (pow.f64 (cbrt.f64 (cosh.f64 x)) -2) (/.f64 1 (cbrt.f64 (cosh.f64 x))))
(.f64 (.f64 (pow.f64 (cbrt.f64 (cosh.f64 x)) -2) 1) (/.f64 1 (cbrt.f64 (cosh.f64 x))))
(.f64 (.f64 (pow.f64 (cbrt.f64 (cosh.f64 x)) -2) (pow.f64 (cbrt.f64 (cosh.f64 x)) -1/2)) (pow.f64 (cbrt.f64 (cosh.f64 x)) -1/2))
(.f64 (.f64 (pow.f64 (cbrt.f64 (cosh.f64 x)) -2) (cbrt.f64 (pow.f64 (cbrt.f64 (cosh.f64 x)) -2))) (/.f64 1 (cbrt.f64 (cbrt.f64 (cosh.f64 x)))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cosh.f64 x)) -1/2) 3) (pow.f64 (pow.f64 (cbrt.f64 (cosh.f64 x)) -1/2) 3))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (cosh.f64 x)) -2)) 3) (/.f64 1 (cbrt.f64 (cosh.f64 x))))
(/.f64 1 (cosh.f64 x))
(/.f64 1 (/.f64 (cosh.f64 x) 1))
(/.f64 (pow.f64 (cbrt.f64 (cosh.f64 x)) -2) (cbrt.f64 (cosh.f64 x)))
(/.f64 -1 (neg.f64 (cosh.f64 x)))
(/.f64 -1 (pow.f64 (neg.f64 (cbrt.f64 (cosh.f64 x))) 3))
(/.f64 (*.f64 (pow.f64 (cbrt.f64 (cosh.f64 x)) -2) 1) (cbrt.f64 (cosh.f64 x)))
(/.f64 (*.f64 (pow.f64 (cbrt.f64 (cosh.f64 x)) -2) -1) (neg.f64 (cbrt.f64 (cosh.f64 x))))
(/.f64 (*.f64 -1 (pow.f64 (cbrt.f64 (cosh.f64 x)) -2)) (neg.f64 (cbrt.f64 (cosh.f64 x))))
(sqrt.f64 (/.f64 1 (pow.f64 (cosh.f64 x) 2)))
(log.f64 (exp.f64 (/.f64 1 (cosh.f64 x))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (cosh.f64 x)))))
(cbrt.f64 (pow.f64 (/.f64 1 (cosh.f64 x)) 3))
(expm1.f64 (log1p.f64 (/.f64 1 (cosh.f64 x))))
(exp.f64 (neg.f64 (log.f64 (cosh.f64 x))))
(exp.f64 (*.f64 (neg.f64 (log.f64 (cosh.f64 x))) 1))
(log1p.f64 (expm1.f64 (/.f64 1 (cosh.f64 x))))
(-.f64 (exp.f64 (log1p.f64 (cbrt.f64 (cosh.f64 x)))) 1)
(*.f64 1 (cbrt.f64 (cosh.f64 x)))
(*.f64 (cbrt.f64 (cosh.f64 x)) 1)
(*.f64 (pow.f64 (cosh.f64 x) 1/6) (pow.f64 (cosh.f64 x) 1/6))
(*.f64 (cbrt.f64 (cbrt.f64 (cosh.f64 x))) (pow.f64 (cbrt.f64 (cbrt.f64 (cosh.f64 x))) 2))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (cosh.f64 x))) 2) (cbrt.f64 (cbrt.f64 (cosh.f64 x))))
(*.f64 (pow.f64 1 1/3) (cbrt.f64 (cosh.f64 x)))
(*.f64 (pow.f64 (sqrt.f64 (cosh.f64 x)) 1/3) (pow.f64 (sqrt.f64 (cosh.f64 x)) 1/3))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cosh.f64 x)) 2) 1/3) (cbrt.f64 (cbrt.f64 (cosh.f64 x))))
(/.f64 1 (/.f64 1 (cbrt.f64 (cosh.f64 x))))
(/.f64 (cbrt.f64 (cosh.f64 x)) 1)
(/.f64 (pow.f64 (cosh.f64 x) 1/6) (pow.f64 (cbrt.f64 (cosh.f64 x)) -1/2))
(/.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (cosh.f64 x))) 2) (/.f64 1 (cbrt.f64 (cbrt.f64 (cosh.f64 x)))))
(/.f64 (neg.f64 (cbrt.f64 (cosh.f64 x))) -1)
(/.f64 (cbrt.f64 (*.f64 2 (cosh.f64 x))) (cbrt.f64 2))
(pow.f64 (cosh.f64 x) 1/3)
(pow.f64 (cbrt.f64 (cosh.f64 x)) 1)
(pow.f64 (pow.f64 (cosh.f64 x) 1/6) 2)
(pow.f64 (cbrt.f64 (cbrt.f64 (cosh.f64 x))) 3)
(sqrt.f64 (pow.f64 (cbrt.f64 (cosh.f64 x)) 2))
(log.f64 (exp.f64 (cbrt.f64 (cosh.f64 x))))
(log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 (cosh.f64 x)))))
(expm1.f64 (log1p.f64 (cbrt.f64 (cosh.f64 x))))
(exp.f64 (log.f64 (cbrt.f64 (cosh.f64 x))))
(exp.f64 (*.f64 (log.f64 (cosh.f64 x)) 1/3))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (cosh.f64 x))) 1))
(log1p.f64 (expm1.f64 (cbrt.f64 (cosh.f64 x))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 1 (cbrt.f64 (cosh.f64 x))))) 1)
(*.f64 1 (/.f64 1 (cbrt.f64 (cosh.f64 x))))
(*.f64 (/.f64 1 (cbrt.f64 (cosh.f64 x))) 1)
(*.f64 (pow.f64 (cbrt.f64 (cosh.f64 x)) -1/2) (pow.f64 (cbrt.f64 (cosh.f64 x)) -1/2))
(*.f64 (/.f64 1 (cbrt.f64 (cbrt.f64 (cosh.f64 x)))) (cbrt.f64 (pow.f64 (cbrt.f64 (cosh.f64 x)) -2)))
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (cosh.f64 x)) -2)) (/.f64 1 (cbrt.f64 (cbrt.f64 (cosh.f64 x)))))
(*.f64 -1 (/.f64 1 (neg.f64 (cbrt.f64 (cosh.f64 x)))))
(*.f64 (pow.f64 (pow.f64 (cosh.f64 x) 1/6) -1) (pow.f64 (pow.f64 (cosh.f64 x) 1/6) -1))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (cosh.f64 x))) 2) -1) (pow.f64 (cbrt.f64 (cbrt.f64 (cosh.f64 x))) -1))
(pow.f64 (cosh.f64 x) -1/3)
(pow.f64 (cbrt.f64 (cosh.f64 x)) -1)
(pow.f64 (/.f64 1 (cbrt.f64 (cosh.f64 x))) 1)
(pow.f64 (/.f64 1 (cosh.f64 x)) 1/3)
(pow.f64 (pow.f64 (cbrt.f64 (cosh.f64 x)) -1/2) 2)
(pow.f64 (/.f64 1 (cbrt.f64 (cbrt.f64 (cosh.f64 x)))) 3)
(sqrt.f64 (pow.f64 (cbrt.f64 (cosh.f64 x)) -2))
(log.f64 (exp.f64 (/.f64 1 (cbrt.f64 (cosh.f64 x)))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (cbrt.f64 (cosh.f64 x))))))
(cbrt.f64 (/.f64 1 (cosh.f64 x)))
(expm1.f64 (log1p.f64 (/.f64 1 (cbrt.f64 (cosh.f64 x)))))
(exp.f64 (neg.f64 (log.f64 (cbrt.f64 (cosh.f64 x)))))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (cosh.f64 x))) -1))
(exp.f64 (*.f64 (neg.f64 (log.f64 (cbrt.f64 (cosh.f64 x)))) 1))
(log1p.f64 (expm1.f64 (/.f64 1 (cbrt.f64 (cosh.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 5/24 (pow.f64 x 4))))
(+.f64 1 (fma.f64 -1/2 (.f64 x x) (.f64 5/24 (pow.f64 x 4))))
(+.f64 (fma.f64 -1/2 (.f64 x x) 1) (.f64 5/24 (pow.f64 x 4)))
(fma.f64 -1/2 (*.f64 x x) (fma.f64 5/24 (pow.f64 x 4) 1))
(+.f64 1 (+.f64 (.f64 -1/2 (pow.f64 x 2)) (+.f64 (.f64 -61/720 (pow.f64 x 6)) (*.f64 5/24 (pow.f64 x 4)))))
(+.f64 1 (fma.f64 -1/2 (.f64 x x) (fma.f64 -61/720 (pow.f64 x 6) (.f64 5/24 (pow.f64 x 4)))))
(+.f64 (fma.f64 -1/2 (.f64 x x) 1) (fma.f64 5/24 (pow.f64 x 4) (.f64 -61/720 (pow.f64 x 6))))
(+.f64 1 (fma.f64 5/24 (pow.f64 x 4) (fma.f64 -1/2 (.f64 x x) (.f64 -61/720 (pow.f64 x 6)))))
(.f64 2 (.f64 (/.f64 1 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))) (pow.f64 1 1/3)))
(*.f64 2 (/.f64 1 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))))
(/.f64 1 (cosh.f64 x))
(.f64 2 (.f64 (/.f64 1 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))) (pow.f64 1 1/3)))
(*.f64 2 (/.f64 1 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))))
(/.f64 1 (cosh.f64 x))
(.f64 2 (.f64 (/.f64 1 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))) (pow.f64 1 1/3)))
(*.f64 2 (/.f64 1 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))))
(/.f64 1 (cosh.f64 x))
(.f64 2 (.f64 (/.f64 1 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))) (pow.f64 1 1/3)))
(*.f64 2 (/.f64 1 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))))
(/.f64 1 (cosh.f64 x))
(.f64 2 (.f64 (/.f64 1 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))) (pow.f64 1 1/3)))
(*.f64 2 (/.f64 1 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))))
(/.f64 1 (cosh.f64 x))
(.f64 2 (.f64 (/.f64 1 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))) (pow.f64 1 1/3)))
(*.f64 2 (/.f64 1 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))))
(/.f64 1 (cosh.f64 x))
(.f64 2 (.f64 (/.f64 1 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))) (pow.f64 1 1/3)))
(*.f64 2 (/.f64 1 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))))
(/.f64 1 (cosh.f64 x))
(.f64 2 (.f64 (/.f64 1 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))) (pow.f64 1 1/3)))
(*.f64 2 (/.f64 1 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))))
(/.f64 1 (cosh.f64 x))
1
(+.f64 (*.f64 1/6 (pow.f64 x 2)) 1)
(fma.f64 1/6 (*.f64 x x) 1)
(fma.f64 (*.f64 x x) 1/6 1)
(fma.f64 x (*.f64 x 1/6) 1)
(+.f64 (.f64 1/6 (pow.f64 x 2)) (+.f64 (.f64 -1/72 (pow.f64 x 4)) 1))
(fma.f64 1/6 (*.f64 x x) (fma.f64 -1/72 (pow.f64 x 4) 1))
(fma.f64 (*.f64 x x) 1/6 (fma.f64 (pow.f64 x 4) -1/72 1))
(fma.f64 (pow.f64 x 4) -1/72 (fma.f64 x (*.f64 x 1/6) 1))
(+.f64 (.f64 1/6 (pow.f64 x 2)) (+.f64 (.f64 -1/72 (pow.f64 x 4)) (+.f64 1 (*.f64 23/6480 (pow.f64 x 6)))))
(fma.f64 1/6 (.f64 x x) (+.f64 (fma.f64 -1/72 (pow.f64 x 4) 1) (.f64 (pow.f64 x 6) 23/6480)))
(fma.f64 (*.f64 x x) 1/6 (fma.f64 (pow.f64 x 4) -1/72 (fma.f64 (pow.f64 x 6) 23/6480 1)))
(fma.f64 x (*.f64 x 1/6) (fma.f64 (pow.f64 x 4) -1/72 (fma.f64 (pow.f64 x 6) 23/6480 1)))
(.f64 (pow.f64 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) 1) 1/3) (cbrt.f64 1/2))
(*.f64 (cbrt.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) (cbrt.f64 1/2))
(.f64 (pow.f64 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) 1) 1/3) (cbrt.f64 1/2))
(*.f64 (cbrt.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) (cbrt.f64 1/2))
(.f64 (pow.f64 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) 1) 1/3) (cbrt.f64 1/2))
(*.f64 (cbrt.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) (cbrt.f64 1/2))
(.f64 (pow.f64 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) 1) 1/3) (cbrt.f64 1/2))
(*.f64 (cbrt.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) (cbrt.f64 1/2))
(.f64 (pow.f64 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) 1) 1/3) (cbrt.f64 1/2))
(*.f64 (cbrt.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) (cbrt.f64 1/2))
(.f64 (pow.f64 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) 1) 1/3) (cbrt.f64 1/2))
(*.f64 (cbrt.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) (cbrt.f64 1/2))
(.f64 (pow.f64 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) 1) 1/3) (cbrt.f64 1/2))
(*.f64 (cbrt.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) (cbrt.f64 1/2))
(.f64 (pow.f64 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) 1) 1/3) (cbrt.f64 1/2))
(*.f64 (cbrt.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) (cbrt.f64 1/2))
1
(+.f64 1 (*.f64 -1/6 (pow.f64 x 2)))
(+.f64 1 (.f64 (.f64 x x) -1/6))
(fma.f64 (*.f64 x x) -1/6 1)
(fma.f64 x (*.f64 x -1/6) 1)
(+.f64 1 (+.f64 (.f64 -1/6 (pow.f64 x 2)) (.f64 1/24 (pow.f64 x 4))))
(+.f64 1 (fma.f64 -1/6 (.f64 x x) (.f64 (pow.f64 x 4) 1/24)))
(+.f64 1 (fma.f64 (pow.f64 x 4) 1/24 (.f64 x (.f64 x -1/6))))
(fma.f64 (pow.f64 x 4) 1/24 (fma.f64 x (*.f64 x -1/6) 1))
(+.f64 1 (+.f64 (.f64 -1/6 (pow.f64 x 2)) (+.f64 (.f64 1/24 (pow.f64 x 4)) (*.f64 -83/6480 (pow.f64 x 6)))))
(+.f64 1 (fma.f64 -1/6 (.f64 x x) (fma.f64 1/24 (pow.f64 x 4) (.f64 (pow.f64 x 6) -83/6480))))
(+.f64 (fma.f64 (.f64 x x) -1/6 1) (fma.f64 (pow.f64 x 4) 1/24 (.f64 (pow.f64 x 6) -83/6480)))
(+.f64 (fma.f64 x (.f64 x -1/6) 1) (fma.f64 (pow.f64 x 6) -83/6480 (.f64 (pow.f64 x 4) 1/24)))
(*.f64 (pow.f64 (/.f64 1 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))) 1/3) (cbrt.f64 2))
(*.f64 (cbrt.f64 (/.f64 1 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))) (cbrt.f64 2))
(*.f64 (pow.f64 (/.f64 1 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))) 1/3) (cbrt.f64 2))
(*.f64 (cbrt.f64 (/.f64 1 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))) (cbrt.f64 2))
(*.f64 (pow.f64 (/.f64 1 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))) 1/3) (cbrt.f64 2))
(*.f64 (cbrt.f64 (/.f64 1 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))) (cbrt.f64 2))
(*.f64 (pow.f64 (/.f64 1 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))) 1/3) (cbrt.f64 2))
(*.f64 (cbrt.f64 (/.f64 1 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))) (cbrt.f64 2))
(*.f64 (pow.f64 (/.f64 1 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))) 1/3) (cbrt.f64 2))
(*.f64 (cbrt.f64 (/.f64 1 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))) (cbrt.f64 2))
(*.f64 (pow.f64 (/.f64 1 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))) 1/3) (cbrt.f64 2))
(*.f64 (cbrt.f64 (/.f64 1 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))) (cbrt.f64 2))
(*.f64 (pow.f64 (/.f64 1 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))) 1/3) (cbrt.f64 2))
(*.f64 (cbrt.f64 (/.f64 1 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))) (cbrt.f64 2))
(*.f64 (pow.f64 (/.f64 1 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))) 1/3) (cbrt.f64 2))
(*.f64 (cbrt.f64 (/.f64 1 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))) (cbrt.f64 2))
(-.f64 (exp.f64 (log1p.f64 (/.f64 1 (cosh.f64 x)))) 1)
(*.f64 2 (/.f64 1 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))))
(/.f64 1 (cosh.f64 x))
(*.f64 1 (/.f64 1 (cosh.f64 x)))
(*.f64 2 (/.f64 1 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))))
(/.f64 1 (cosh.f64 x))
(*.f64 (/.f64 1 (cbrt.f64 (cosh.f64 x))) (pow.f64 (cbrt.f64 (cosh.f64 x)) -2))
(*.f64 2 (/.f64 1 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))))
(/.f64 1 (cosh.f64 x))
(*.f64 (/.f64 1 (cosh.f64 x)) 1)
(*.f64 2 (/.f64 1 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))))
(/.f64 1 (cosh.f64 x))
(.f64 (pow.f64 (cbrt.f64 (cosh.f64 x)) -1/2) (.f64 (pow.f64 (cbrt.f64 (cosh.f64 x)) -1/2) (pow.f64 (cbrt.f64 (cosh.f64 x)) -2)))
(*.f64 2 (/.f64 1 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))))
(/.f64 1 (cosh.f64 x))
(*.f64 (/.f64 1 (sqrt.f64 (cosh.f64 x))) (/.f64 1 (sqrt.f64 (cosh.f64 x))))
(*.f64 2 (/.f64 1 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))))
(/.f64 1 (cosh.f64 x))
(.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (cosh.f64 x)) -2)) (.f64 (/.f64 1 (cbrt.f64 (cbrt.f64 (cosh.f64 x)))) (pow.f64 (cbrt.f64 (cosh.f64 x)) -2)))
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (cosh.f64 x)) -2)) (/.f64 (pow.f64 (cbrt.f64 (cosh.f64 x)) -2) (cbrt.f64 (cbrt.f64 (cosh.f64 x)))))
(/.f64 (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (cosh.f64 x)) -2)) 4) (cbrt.f64 (cbrt.f64 (cosh.f64 x))))
(*.f64 (pow.f64 (cbrt.f64 (cosh.f64 x)) -2) (/.f64 1 (cbrt.f64 (cosh.f64 x))))
(*.f64 2 (/.f64 1 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))))
(/.f64 1 (cosh.f64 x))
(.f64 (.f64 (pow.f64 (cbrt.f64 (cosh.f64 x)) -2) 1) (/.f64 1 (cbrt.f64 (cosh.f64 x))))
(*.f64 2 (/.f64 1 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))))
(/.f64 1 (cosh.f64 x))
(.f64 (.f64 (pow.f64 (cbrt.f64 (cosh.f64 x)) -2) (pow.f64 (cbrt.f64 (cosh.f64 x)) -1/2)) (pow.f64 (cbrt.f64 (cosh.f64 x)) -1/2))
(*.f64 2 (/.f64 1 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))))
(/.f64 1 (cosh.f64 x))
(.f64 (.f64 (pow.f64 (cbrt.f64 (cosh.f64 x)) -2) (cbrt.f64 (pow.f64 (cbrt.f64 (cosh.f64 x)) -2))) (/.f64 1 (cbrt.f64 (cbrt.f64 (cosh.f64 x)))))
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (cosh.f64 x)) -2)) (/.f64 (pow.f64 (cbrt.f64 (cosh.f64 x)) -2) (cbrt.f64 (cbrt.f64 (cosh.f64 x)))))
(/.f64 (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (cosh.f64 x)) -2)) 4) (cbrt.f64 (cbrt.f64 (cosh.f64 x))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cosh.f64 x)) -1/2) 3) (pow.f64 (pow.f64 (cbrt.f64 (cosh.f64 x)) -1/2) 3))
(*.f64 2 (/.f64 1 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))))
(/.f64 1 (cosh.f64 x))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (cosh.f64 x)) -2)) 3) (/.f64 1 (cbrt.f64 (cosh.f64 x))))
(*.f64 2 (/.f64 1 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))))
(/.f64 1 (cosh.f64 x))
(/.f64 1 (cosh.f64 x))
(*.f64 2 (/.f64 1 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))))
(/.f64 1 (/.f64 (cosh.f64 x) 1))
(*.f64 2 (/.f64 1 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))))
(/.f64 1 (cosh.f64 x))
(/.f64 (pow.f64 (cbrt.f64 (cosh.f64 x)) -2) (cbrt.f64 (cosh.f64 x)))
(*.f64 2 (/.f64 1 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))))
(/.f64 1 (cosh.f64 x))
(/.f64 -1 (neg.f64 (cosh.f64 x)))
(*.f64 2 (/.f64 1 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))))
(/.f64 1 (cosh.f64 x))
(/.f64 -1 (pow.f64 (neg.f64 (cbrt.f64 (cosh.f64 x))) 3))
(*.f64 2 (/.f64 1 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))))
(/.f64 1 (cosh.f64 x))
(/.f64 (*.f64 (pow.f64 (cbrt.f64 (cosh.f64 x)) -2) 1) (cbrt.f64 (cosh.f64 x)))
(*.f64 2 (/.f64 1 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))))
(/.f64 1 (cosh.f64 x))
(/.f64 (*.f64 (pow.f64 (cbrt.f64 (cosh.f64 x)) -2) -1) (neg.f64 (cbrt.f64 (cosh.f64 x))))
(*.f64 2 (/.f64 1 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))))
(/.f64 1 (cosh.f64 x))
(/.f64 (*.f64 -1 (pow.f64 (cbrt.f64 (cosh.f64 x)) -2)) (neg.f64 (cbrt.f64 (cosh.f64 x))))
(*.f64 2 (/.f64 1 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))))
(/.f64 1 (cosh.f64 x))
(sqrt.f64 (/.f64 1 (pow.f64 (cosh.f64 x) 2)))
(fabs.f64 (/.f64 1 (cosh.f64 x)))
(log.f64 (exp.f64 (/.f64 1 (cosh.f64 x))))
(*.f64 2 (/.f64 1 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))))
(/.f64 1 (cosh.f64 x))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (cosh.f64 x)))))
(*.f64 2 (/.f64 1 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))))
(/.f64 1 (cosh.f64 x))
(cbrt.f64 (pow.f64 (/.f64 1 (cosh.f64 x)) 3))
(*.f64 2 (/.f64 1 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))))
(/.f64 1 (cosh.f64 x))
(expm1.f64 (log1p.f64 (/.f64 1 (cosh.f64 x))))
(*.f64 2 (/.f64 1 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))))
(/.f64 1 (cosh.f64 x))
(exp.f64 (neg.f64 (log.f64 (cosh.f64 x))))
(*.f64 2 (/.f64 1 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))))
(/.f64 1 (cosh.f64 x))
(exp.f64 (*.f64 (neg.f64 (log.f64 (cosh.f64 x))) 1))
(*.f64 2 (/.f64 1 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))))
(/.f64 1 (cosh.f64 x))
(log1p.f64 (expm1.f64 (/.f64 1 (cosh.f64 x))))
(*.f64 2 (/.f64 1 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))))
(/.f64 1 (cosh.f64 x))
(-.f64 (exp.f64 (log1p.f64 (cbrt.f64 (cosh.f64 x)))) 1)
(cbrt.f64 (cosh.f64 x))
(*.f64 1 (cbrt.f64 (cosh.f64 x)))
(cbrt.f64 (cosh.f64 x))
(*.f64 (cbrt.f64 (cosh.f64 x)) 1)
(cbrt.f64 (cosh.f64 x))
(*.f64 (pow.f64 (cosh.f64 x) 1/6) (pow.f64 (cosh.f64 x) 1/6))
(cbrt.f64 (cosh.f64 x))
(*.f64 (cbrt.f64 (cbrt.f64 (cosh.f64 x))) (pow.f64 (cbrt.f64 (cbrt.f64 (cosh.f64 x))) 2))
(cbrt.f64 (cosh.f64 x))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (cosh.f64 x))) 2) (cbrt.f64 (cbrt.f64 (cosh.f64 x))))
(cbrt.f64 (cosh.f64 x))
(*.f64 (pow.f64 1 1/3) (cbrt.f64 (cosh.f64 x)))
(cbrt.f64 (cosh.f64 x))
(*.f64 (pow.f64 (sqrt.f64 (cosh.f64 x)) 1/3) (pow.f64 (sqrt.f64 (cosh.f64 x)) 1/3))
(*.f64 (cbrt.f64 (sqrt.f64 (cosh.f64 x))) (cbrt.f64 (sqrt.f64 (cosh.f64 x))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cosh.f64 x)) 2) 1/3) (cbrt.f64 (cbrt.f64 (cosh.f64 x))))
(*.f64 (cbrt.f64 (cbrt.f64 (cosh.f64 x))) (cbrt.f64 (pow.f64 (cbrt.f64 (cosh.f64 x)) 2)))
(/.f64 1 (/.f64 1 (cbrt.f64 (cosh.f64 x))))
(cbrt.f64 (cosh.f64 x))
(/.f64 (cbrt.f64 (cosh.f64 x)) 1)
(cbrt.f64 (cosh.f64 x))
(/.f64 (pow.f64 (cosh.f64 x) 1/6) (pow.f64 (cbrt.f64 (cosh.f64 x)) -1/2))
(/.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (cosh.f64 x))) 2) (/.f64 1 (cbrt.f64 (cbrt.f64 (cosh.f64 x)))))
(cbrt.f64 (cosh.f64 x))
(/.f64 (neg.f64 (cbrt.f64 (cosh.f64 x))) -1)
(cbrt.f64 (cosh.f64 x))
(/.f64 (cbrt.f64 (*.f64 2 (cosh.f64 x))) (cbrt.f64 2))
(pow.f64 (cosh.f64 x) 1/3)
(cbrt.f64 (cosh.f64 x))
(pow.f64 (cbrt.f64 (cosh.f64 x)) 1)
(cbrt.f64 (cosh.f64 x))
(pow.f64 (pow.f64 (cosh.f64 x) 1/6) 2)
(cbrt.f64 (cosh.f64 x))
(pow.f64 (cbrt.f64 (cbrt.f64 (cosh.f64 x))) 3)
(cbrt.f64 (cosh.f64 x))
(sqrt.f64 (pow.f64 (cbrt.f64 (cosh.f64 x)) 2))
(cbrt.f64 (cosh.f64 x))
(log.f64 (exp.f64 (cbrt.f64 (cosh.f64 x))))
(cbrt.f64 (cosh.f64 x))
(log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 (cosh.f64 x)))))
(cbrt.f64 (cosh.f64 x))
(expm1.f64 (log1p.f64 (cbrt.f64 (cosh.f64 x))))
(cbrt.f64 (cosh.f64 x))
(exp.f64 (log.f64 (cbrt.f64 (cosh.f64 x))))
(cbrt.f64 (cosh.f64 x))
(exp.f64 (*.f64 (log.f64 (cosh.f64 x)) 1/3))
(cbrt.f64 (cosh.f64 x))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (cosh.f64 x))) 1))
(cbrt.f64 (cosh.f64 x))
(log1p.f64 (expm1.f64 (cbrt.f64 (cosh.f64 x))))
(cbrt.f64 (cosh.f64 x))
(-.f64 (exp.f64 (log1p.f64 (/.f64 1 (cbrt.f64 (cosh.f64 x))))) 1)
(/.f64 1 (cbrt.f64 (cosh.f64 x)))
(*.f64 1 (/.f64 1 (cbrt.f64 (cosh.f64 x))))
(/.f64 1 (cbrt.f64 (cosh.f64 x)))
(*.f64 (/.f64 1 (cbrt.f64 (cosh.f64 x))) 1)
(/.f64 1 (cbrt.f64 (cosh.f64 x)))
(*.f64 (pow.f64 (cbrt.f64 (cosh.f64 x)) -1/2) (pow.f64 (cbrt.f64 (cosh.f64 x)) -1/2))
(/.f64 1 (cbrt.f64 (cosh.f64 x)))
(*.f64 (/.f64 1 (cbrt.f64 (cbrt.f64 (cosh.f64 x)))) (cbrt.f64 (pow.f64 (cbrt.f64 (cosh.f64 x)) -2)))
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (cosh.f64 x)) -2)) (/.f64 1 (cbrt.f64 (cbrt.f64 (cosh.f64 x)))))
(/.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (cosh.f64 x)) -2)) (cbrt.f64 (cbrt.f64 (cosh.f64 x))))
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (cosh.f64 x)) -2)) (/.f64 1 (cbrt.f64 (cbrt.f64 (cosh.f64 x)))))
(/.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (cosh.f64 x)) -2)) (cbrt.f64 (cbrt.f64 (cosh.f64 x))))
(*.f64 -1 (/.f64 1 (neg.f64 (cbrt.f64 (cosh.f64 x)))))
(/.f64 1 (cbrt.f64 (cosh.f64 x)))
(*.f64 (pow.f64 (pow.f64 (cosh.f64 x) 1/6) -1) (pow.f64 (pow.f64 (cosh.f64 x) 1/6) -1))
(/.f64 1 (cbrt.f64 (cosh.f64 x)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (cosh.f64 x))) 2) -1) (pow.f64 (cbrt.f64 (cbrt.f64 (cosh.f64 x))) -1))
(/.f64 1 (cbrt.f64 (cosh.f64 x)))
(pow.f64 (cosh.f64 x) -1/3)
(*.f64 (pow.f64 (cosh.f64 x) -1/6) (pow.f64 (cosh.f64 x) -1/6))
(pow.f64 (cbrt.f64 (cosh.f64 x)) -1)
(/.f64 1 (cbrt.f64 (cosh.f64 x)))
(pow.f64 (/.f64 1 (cbrt.f64 (cosh.f64 x))) 1)
(/.f64 1 (cbrt.f64 (cosh.f64 x)))
(pow.f64 (/.f64 1 (cosh.f64 x)) 1/3)
(/.f64 1 (cbrt.f64 (cosh.f64 x)))
(pow.f64 (pow.f64 (cbrt.f64 (cosh.f64 x)) -1/2) 2)
(/.f64 1 (cbrt.f64 (cosh.f64 x)))
(pow.f64 (/.f64 1 (cbrt.f64 (cbrt.f64 (cosh.f64 x)))) 3)
(/.f64 1 (cbrt.f64 (cosh.f64 x)))
(sqrt.f64 (pow.f64 (cbrt.f64 (cosh.f64 x)) -2))
(/.f64 1 (cbrt.f64 (cosh.f64 x)))
(log.f64 (exp.f64 (/.f64 1 (cbrt.f64 (cosh.f64 x)))))
(/.f64 1 (cbrt.f64 (cosh.f64 x)))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (cbrt.f64 (cosh.f64 x))))))
(/.f64 1 (cbrt.f64 (cosh.f64 x)))
(cbrt.f64 (/.f64 1 (cosh.f64 x)))
(/.f64 1 (cbrt.f64 (cosh.f64 x)))
(expm1.f64 (log1p.f64 (/.f64 1 (cbrt.f64 (cosh.f64 x)))))
(/.f64 1 (cbrt.f64 (cosh.f64 x)))
(exp.f64 (neg.f64 (log.f64 (cbrt.f64 (cosh.f64 x)))))
(/.f64 1 (cbrt.f64 (cosh.f64 x)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (cosh.f64 x))) -1))
(/.f64 1 (cbrt.f64 (cosh.f64 x)))
(exp.f64 (*.f64 (neg.f64 (log.f64 (cbrt.f64 (cosh.f64 x)))) 1))
(/.f64 1 (cbrt.f64 (cosh.f64 x)))
(log1p.f64 (expm1.f64 (/.f64 1 (cbrt.f64 (cosh.f64 x)))))
(/.f64 1 (cbrt.f64 (cosh.f64 x)))

eval106.0ms (2.2%)

Compiler: Compiled 4598 to 3152 computations (31.4% saved)

prune113.0ms (2.3%)

Pruning

10 alts after pruning (5 fresh and 5 done)

	Pruned	Kept	Total
New	414	4	418
Fresh	0	1	1
Picked	1	0	1
Done	1	5	6
Total	416	10	426

Error

Counts

426 → 10

Alt Table

Click to see full alt table

Status	Error	Program
▶	0.0b	(pow.f64 (pow.f64 (cosh.f64 x) -1/3) 3)
✓	48.0b	(/.f64 (/.f64 2 x) x)
✓	17.3b	(/.f64 2 (+.f64 2 (*.f64 x x)))
✓	47.9b	(/.f64 2 (*.f64 x x))
✓	0.0b	(/.f64 1 (cosh.f64 x))
▶	31.7b	(-.f64 (+.f64 1 (/.f64 2 (*.f64 x x))) 1)
✓	32.2b	(+.f64 1 (.f64 (.f64 x x) -1/2))
▶	48.0b	(*.f64 (/.f64 2 x) (/.f64 1 x))
▶	0.0b	(cbrt.f64 (pow.f64 (cosh.f64 x) -3))
	31.7b	1

Compiler

Compiled 66 to 51 computations (22.7% saved)

localize7.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
	0.0b	(cosh.f64 x)
✓	0.0b	(cbrt.f64 (pow.f64 (cosh.f64 x) -3))
✓	0.0b	(pow.f64 (cosh.f64 x) -3)

Compiler

Compiled 14 to 8 computations (42.9% saved)

series2.0ms (0%)

Counts

2 → 24

Calls

6 calls:

Time	Variable		Point	Expression
1.0ms	x	@	inf	(pow.f64 (cosh.f64 x) -3)
0.0ms	x	@	-inf	(pow.f64 (cosh.f64 x) -3)
0.0ms	x	@	-inf	(cbrt.f64 (pow.f64 (cosh.f64 x) -3))
0.0ms	x	@	0	(pow.f64 (cosh.f64 x) -3)
0.0ms	x	@	0	(cbrt.f64 (pow.f64 (cosh.f64 x) -3))

rewrite54.0ms (1.1%)

Algorithm

1×	batch-egg-rewrite

Rules

1504×	`add-sqr-sqrt`
1470×	`*-un-lft-identity`
1386×	`add-cube-cbrt`
1370×	`add-cbrt-cube`
1356×	`add-exp-log`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	8	26
1	164	22
2	1907	22

Stop Event

1×	node limit

Counts

2 → 39

Calls

Call 1

Inputs
(pow.f64 (cosh.f64 x) -3)
(cbrt.f64 (pow.f64 (cosh.f64 x) -3))

Outputs

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

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

simplify68.0ms (1.4%)

Algorithm

1×	egg-herbie

Rules

1152×	`fma-def`
864×	`*-commutative`
848×	`unswap-sqr`
612×	`associate-/l*`
574×	`sqr-pow`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	119	1699
1	257	1607
2	705	1221
3	2011	1217
4	5468	1153

Stop Event

1×	node limit

Counts

63 → 84

Calls

Call 1

Inputs
1
(+.f64 1 (*.f64 -3/2 (pow.f64 x 2)))
(+.f64 1 (+.f64 (.f64 -3/2 (pow.f64 x 2)) (.f64 11/8 (pow.f64 x 4))))
(+.f64 (.f64 -241/240 (pow.f64 x 6)) (+.f64 1 (+.f64 (.f64 -3/2 (pow.f64 x 2)) (*.f64 11/8 (pow.f64 x 4)))))
(/.f64 8 (pow.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) 3))
(/.f64 8 (pow.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) 3))
(/.f64 8 (pow.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) 3))
(/.f64 8 (pow.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) 3))
(/.f64 8 (pow.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) 3))
(/.f64 8 (pow.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) 3))
(/.f64 8 (pow.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) 3))
(/.f64 8 (pow.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) 3))
1
(+.f64 1 (*.f64 -1/2 (pow.f64 x 2)))
(+.f64 1 (+.f64 (.f64 -1/2 (pow.f64 x 2)) (.f64 5/24 (pow.f64 x 4))))
(+.f64 1 (+.f64 (.f64 -1/2 (pow.f64 x 2)) (+.f64 (.f64 -61/720 (pow.f64 x 6)) (*.f64 5/24 (pow.f64 x 4)))))
(/.f64 2 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))
(/.f64 2 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))
(/.f64 2 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))
(/.f64 2 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))
(/.f64 2 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))
(/.f64 2 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))
(/.f64 2 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))
(/.f64 2 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))
(-.f64 (+.f64 1 (pow.f64 (cosh.f64 x) -3)) 1)
(*.f64 (pow.f64 (cosh.f64 x) -3) 1)
(*.f64 (pow.f64 (cosh.f64 x) -1) (cbrt.f64 (pow.f64 (cosh.f64 x) -6)))
(*.f64 1 (pow.f64 (cosh.f64 x) -3))
(*.f64 (pow.f64 (cosh.f64 x) -3/2) (pow.f64 (cosh.f64 x) -3/2))
(*.f64 (cbrt.f64 (pow.f64 (cosh.f64 x) -6)) (pow.f64 (cosh.f64 x) -1))
(.f64 (.f64 (cbrt.f64 (pow.f64 (cosh.f64 x) -6)) 1) (pow.f64 (cosh.f64 x) -1))
(.f64 (.f64 (cbrt.f64 (pow.f64 (cosh.f64 x) -6)) (cbrt.f64 (pow.f64 (cosh.f64 x) -3/2))) (cbrt.f64 (pow.f64 (cosh.f64 x) -3/2)))
(.f64 (.f64 (cbrt.f64 (pow.f64 (cosh.f64 x) -6)) (cbrt.f64 (cbrt.f64 (pow.f64 (cosh.f64 x) -6)))) (cbrt.f64 (pow.f64 (cosh.f64 x) -1)))
(*.f64 (pow.f64 (sqrt.f64 (cosh.f64 x)) -3) (pow.f64 (sqrt.f64 (cosh.f64 x)) -3))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cosh.f64 x)) 2) -3) (pow.f64 (cbrt.f64 (cosh.f64 x)) -3))
(sqrt.f64 (pow.f64 (cosh.f64 x) -6))
(log.f64 (exp.f64 (pow.f64 (cosh.f64 x) -3)))
(cbrt.f64 (pow.f64 (pow.f64 (cosh.f64 x) -3) 3))
(expm1.f64 (log1p.f64 (pow.f64 (cosh.f64 x) -3)))
(exp.f64 (*.f64 -3 (log.f64 (cosh.f64 x))))
(exp.f64 (.f64 (.f64 -3 (log.f64 (cosh.f64 x))) 1))
(log1p.f64 (expm1.f64 (pow.f64 (cosh.f64 x) -3)))
(-.f64 (+.f64 1 (pow.f64 (cosh.f64 x) -1)) 1)
(*.f64 (pow.f64 (cosh.f64 x) -1) 1)
(*.f64 1 (pow.f64 (cosh.f64 x) -1))
(*.f64 (cbrt.f64 (pow.f64 (cosh.f64 x) -3/2)) (cbrt.f64 (pow.f64 (cosh.f64 x) -3/2)))
(*.f64 (cbrt.f64 (pow.f64 (cosh.f64 x) -1)) (cbrt.f64 (cbrt.f64 (pow.f64 (cosh.f64 x) -6))))
(*.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (cosh.f64 x) -6))) (cbrt.f64 (pow.f64 (cosh.f64 x) -1)))
(*.f64 (pow.f64 1 1/3) (pow.f64 (cosh.f64 x) -1))
(*.f64 (pow.f64 (pow.f64 (cosh.f64 x) -3/2) 1/3) (pow.f64 (pow.f64 (cosh.f64 x) -3/2) 1/3))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (cosh.f64 x) -6)) 1/3) (cbrt.f64 (pow.f64 (cosh.f64 x) -1)))
(pow.f64 (cosh.f64 x) -1)
(pow.f64 (pow.f64 (cosh.f64 x) -3) 1/3)
(pow.f64 (pow.f64 (cosh.f64 x) -1) 1)
(pow.f64 (cbrt.f64 (pow.f64 (cosh.f64 x) -3/2)) 2)
(pow.f64 (cbrt.f64 (pow.f64 (cosh.f64 x) -1)) 3)
(sqrt.f64 (cbrt.f64 (pow.f64 (cosh.f64 x) -6)))
(log.f64 (exp.f64 (pow.f64 (cosh.f64 x) -1)))
(expm1.f64 (log1p.f64 (pow.f64 (cosh.f64 x) -1)))
(exp.f64 (log.f64 (pow.f64 (cosh.f64 x) -1)))
(exp.f64 (.f64 (.f64 -3 (log.f64 (cosh.f64 x))) 1/3))
(exp.f64 (*.f64 (log.f64 (pow.f64 (cosh.f64 x) -1)) 1))
(log1p.f64 (expm1.f64 (pow.f64 (cosh.f64 x) -1)))

Outputs
1
(+.f64 1 (*.f64 -3/2 (pow.f64 x 2)))
(+.f64 1 (.f64 -3/2 (.f64 x x)))
(fma.f64 -3/2 (*.f64 x x) 1)
(+.f64 1 (+.f64 (.f64 -3/2 (pow.f64 x 2)) (.f64 11/8 (pow.f64 x 4))))
(+.f64 1 (fma.f64 -3/2 (.f64 x x) (.f64 11/8 (pow.f64 x 4))))
(fma.f64 -3/2 (*.f64 x x) (fma.f64 11/8 (pow.f64 x 4) 1))
(fma.f64 (.f64 x x) (fma.f64 (.f64 x x) 11/8 -3/2) 1)
(+.f64 (.f64 -241/240 (pow.f64 x 6)) (+.f64 1 (+.f64 (.f64 -3/2 (pow.f64 x 2)) (*.f64 11/8 (pow.f64 x 4)))))
(fma.f64 -241/240 (pow.f64 x 6) (+.f64 1 (fma.f64 -3/2 (.f64 x x) (.f64 11/8 (pow.f64 x 4)))))
(+.f64 (fma.f64 -3/2 (.f64 x x) (.f64 11/8 (pow.f64 x 4))) (fma.f64 -241/240 (pow.f64 x 6) 1))
(fma.f64 -241/240 (pow.f64 x 6) (fma.f64 -3/2 (*.f64 x x) (fma.f64 11/8 (pow.f64 x 4) 1)))
(fma.f64 -241/240 (pow.f64 x 6) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) 11/8 -3/2) 1))
(fma.f64 11/8 (pow.f64 x 4) (fma.f64 -241/240 (pow.f64 x 6) (fma.f64 -3/2 (*.f64 x x) 1)))
(/.f64 8 (pow.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) 3))
(/.f64 8 (pow.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) 3))
(/.f64 8 (pow.f64 (*.f64 2 (cosh.f64 x)) 3))
(/.f64 8 (pow.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) 3))
(/.f64 8 (pow.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) 3))
(/.f64 8 (pow.f64 (*.f64 2 (cosh.f64 x)) 3))
(/.f64 8 (pow.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) 3))
(/.f64 8 (pow.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) 3))
(/.f64 8 (pow.f64 (*.f64 2 (cosh.f64 x)) 3))
(/.f64 8 (pow.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) 3))
(/.f64 8 (pow.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) 3))
(/.f64 8 (pow.f64 (*.f64 2 (cosh.f64 x)) 3))
(/.f64 8 (pow.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) 3))
(/.f64 8 (pow.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) 3))
(/.f64 8 (pow.f64 (*.f64 2 (cosh.f64 x)) 3))
(/.f64 8 (pow.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) 3))
(/.f64 8 (pow.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) 3))
(/.f64 8 (pow.f64 (*.f64 2 (cosh.f64 x)) 3))
(/.f64 8 (pow.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) 3))
(/.f64 8 (pow.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) 3))
(/.f64 8 (pow.f64 (*.f64 2 (cosh.f64 x)) 3))
(/.f64 8 (pow.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) 3))
(/.f64 8 (pow.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) 3))
(/.f64 8 (pow.f64 (*.f64 2 (cosh.f64 x)) 3))
1
(+.f64 1 (*.f64 -1/2 (pow.f64 x 2)))
(+.f64 1 (.f64 (.f64 x x) -1/2))
(fma.f64 (*.f64 x x) -1/2 1)
(fma.f64 x (*.f64 x -1/2) 1)
(+.f64 1 (+.f64 (.f64 -1/2 (pow.f64 x 2)) (.f64 5/24 (pow.f64 x 4))))
(+.f64 1 (fma.f64 -1/2 (.f64 x x) (.f64 (pow.f64 x 4) 5/24)))
(+.f64 1 (fma.f64 (.f64 x x) -1/2 (.f64 (pow.f64 x 4) 5/24)))
(fma.f64 x (*.f64 x -1/2) (fma.f64 (pow.f64 x 4) 5/24 1))
(fma.f64 (.f64 x x) (fma.f64 (.f64 x x) 5/24 -1/2) 1)
(fma.f64 (.f64 x x) (fma.f64 x (.f64 x 5/24) -1/2) 1)
(+.f64 1 (+.f64 (.f64 -1/2 (pow.f64 x 2)) (+.f64 (.f64 -61/720 (pow.f64 x 6)) (*.f64 5/24 (pow.f64 x 4)))))
(+.f64 1 (fma.f64 -1/2 (.f64 x x) (fma.f64 -61/720 (pow.f64 x 6) (.f64 (pow.f64 x 4) 5/24))))
(+.f64 1 (fma.f64 (.f64 x x) -1/2 (fma.f64 (pow.f64 x 4) 5/24 (.f64 (pow.f64 x 6) -61/720))))
(+.f64 1 (fma.f64 (pow.f64 x 4) 5/24 (fma.f64 x (.f64 x -1/2) (.f64 (pow.f64 x 6) -61/720))))
(fma.f64 (pow.f64 x 6) -61/720 (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) 5/24 -1/2) 1))
(fma.f64 (pow.f64 x 6) -61/720 (fma.f64 (.f64 x x) (fma.f64 x (.f64 x 5/24) -1/2) 1))
(/.f64 2 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))
(/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(/.f64 1 (cosh.f64 x))
(/.f64 2 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))
(/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(/.f64 1 (cosh.f64 x))
(/.f64 2 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))
(/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(/.f64 1 (cosh.f64 x))
(/.f64 2 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))
(/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(/.f64 1 (cosh.f64 x))
(/.f64 2 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))
(/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(/.f64 1 (cosh.f64 x))
(/.f64 2 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))
(/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(/.f64 1 (cosh.f64 x))
(/.f64 2 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))
(/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(/.f64 1 (cosh.f64 x))
(/.f64 2 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))
(/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(/.f64 1 (cosh.f64 x))
(-.f64 (+.f64 1 (pow.f64 (cosh.f64 x) -3)) 1)
(+.f64 1 (-.f64 (pow.f64 (cosh.f64 x) -3) 1))
(+.f64 (pow.f64 (cosh.f64 x) -3) 0)
(pow.f64 (cosh.f64 x) -3)
(*.f64 (pow.f64 (cosh.f64 x) -3) 1)
(+.f64 1 (-.f64 (pow.f64 (cosh.f64 x) -3) 1))
(+.f64 (pow.f64 (cosh.f64 x) -3) 0)
(pow.f64 (cosh.f64 x) -3)
(*.f64 (pow.f64 (cosh.f64 x) -1) (cbrt.f64 (pow.f64 (cosh.f64 x) -6)))
(*.f64 (/.f64 1 (cosh.f64 x)) (cbrt.f64 (pow.f64 (cosh.f64 x) -6)))
(/.f64 (cbrt.f64 (pow.f64 (cosh.f64 x) -6)) (cosh.f64 x))
(*.f64 1 (pow.f64 (cosh.f64 x) -3))
(+.f64 1 (-.f64 (pow.f64 (cosh.f64 x) -3) 1))
(+.f64 (pow.f64 (cosh.f64 x) -3) 0)
(pow.f64 (cosh.f64 x) -3)
(*.f64 (pow.f64 (cosh.f64 x) -3/2) (pow.f64 (cosh.f64 x) -3/2))
(+.f64 1 (-.f64 (pow.f64 (cosh.f64 x) -3) 1))
(+.f64 (pow.f64 (cosh.f64 x) -3) 0)
(pow.f64 (cosh.f64 x) -3)
(*.f64 (cbrt.f64 (pow.f64 (cosh.f64 x) -6)) (pow.f64 (cosh.f64 x) -1))
(*.f64 (/.f64 1 (cosh.f64 x)) (cbrt.f64 (pow.f64 (cosh.f64 x) -6)))
(/.f64 (cbrt.f64 (pow.f64 (cosh.f64 x) -6)) (cosh.f64 x))
(.f64 (.f64 (cbrt.f64 (pow.f64 (cosh.f64 x) -6)) 1) (pow.f64 (cosh.f64 x) -1))
(*.f64 (/.f64 1 (cosh.f64 x)) (cbrt.f64 (pow.f64 (cosh.f64 x) -6)))
(/.f64 (cbrt.f64 (pow.f64 (cosh.f64 x) -6)) (cosh.f64 x))
(.f64 (.f64 (cbrt.f64 (pow.f64 (cosh.f64 x) -6)) (cbrt.f64 (pow.f64 (cosh.f64 x) -3/2))) (cbrt.f64 (pow.f64 (cosh.f64 x) -3/2)))
(*.f64 (cbrt.f64 (pow.f64 (cosh.f64 x) -6)) (pow.f64 (cbrt.f64 (pow.f64 (cosh.f64 x) -3/2)) 2))
(.f64 (.f64 (cbrt.f64 (pow.f64 (cosh.f64 x) -6)) (cbrt.f64 (cbrt.f64 (pow.f64 (cosh.f64 x) -6)))) (cbrt.f64 (pow.f64 (cosh.f64 x) -1)))
(.f64 (cbrt.f64 (pow.f64 (cosh.f64 x) -6)) (.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (cosh.f64 x) -6))) (cbrt.f64 (/.f64 1 (cosh.f64 x)))))
(*.f64 (pow.f64 (sqrt.f64 (cosh.f64 x)) -3) (pow.f64 (sqrt.f64 (cosh.f64 x)) -3))
(pow.f64 (sqrt.f64 (cosh.f64 x)) -6)
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cosh.f64 x)) 2) -3) (pow.f64 (cbrt.f64 (cosh.f64 x)) -3))
(sqrt.f64 (pow.f64 (cosh.f64 x) -6))
(+.f64 1 (-.f64 (pow.f64 (cosh.f64 x) -3) 1))
(+.f64 (pow.f64 (cosh.f64 x) -3) 0)
(pow.f64 (cosh.f64 x) -3)
(log.f64 (exp.f64 (pow.f64 (cosh.f64 x) -3)))
(+.f64 1 (-.f64 (pow.f64 (cosh.f64 x) -3) 1))
(+.f64 (pow.f64 (cosh.f64 x) -3) 0)
(pow.f64 (cosh.f64 x) -3)
(cbrt.f64 (pow.f64 (pow.f64 (cosh.f64 x) -3) 3))
(+.f64 1 (-.f64 (pow.f64 (cosh.f64 x) -3) 1))
(+.f64 (pow.f64 (cosh.f64 x) -3) 0)
(pow.f64 (cosh.f64 x) -3)
(expm1.f64 (log1p.f64 (pow.f64 (cosh.f64 x) -3)))
(+.f64 1 (-.f64 (pow.f64 (cosh.f64 x) -3) 1))
(+.f64 (pow.f64 (cosh.f64 x) -3) 0)
(pow.f64 (cosh.f64 x) -3)
(exp.f64 (*.f64 -3 (log.f64 (cosh.f64 x))))
(+.f64 1 (-.f64 (pow.f64 (cosh.f64 x) -3) 1))
(+.f64 (pow.f64 (cosh.f64 x) -3) 0)
(pow.f64 (cosh.f64 x) -3)
(exp.f64 (.f64 (.f64 -3 (log.f64 (cosh.f64 x))) 1))
(+.f64 1 (-.f64 (pow.f64 (cosh.f64 x) -3) 1))
(+.f64 (pow.f64 (cosh.f64 x) -3) 0)
(pow.f64 (cosh.f64 x) -3)
(log1p.f64 (expm1.f64 (pow.f64 (cosh.f64 x) -3)))
(+.f64 1 (-.f64 (pow.f64 (cosh.f64 x) -3) 1))
(+.f64 (pow.f64 (cosh.f64 x) -3) 0)
(pow.f64 (cosh.f64 x) -3)
(-.f64 (+.f64 1 (pow.f64 (cosh.f64 x) -1)) 1)
(/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(/.f64 1 (cosh.f64 x))
(*.f64 (pow.f64 (cosh.f64 x) -1) 1)
(/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(/.f64 1 (cosh.f64 x))
(*.f64 1 (pow.f64 (cosh.f64 x) -1))
(/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(/.f64 1 (cosh.f64 x))
(*.f64 (cbrt.f64 (pow.f64 (cosh.f64 x) -3/2)) (cbrt.f64 (pow.f64 (cosh.f64 x) -3/2)))
(pow.f64 (cbrt.f64 (pow.f64 (cosh.f64 x) -3/2)) 2)
(*.f64 (cbrt.f64 (pow.f64 (cosh.f64 x) -1)) (cbrt.f64 (cbrt.f64 (pow.f64 (cosh.f64 x) -6))))
(*.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (cosh.f64 x) -6))) (cbrt.f64 (/.f64 1 (cosh.f64 x))))
(*.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (cosh.f64 x) -6))) (cbrt.f64 (pow.f64 (cosh.f64 x) -1)))
(*.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (cosh.f64 x) -6))) (cbrt.f64 (/.f64 1 (cosh.f64 x))))
(*.f64 (pow.f64 1 1/3) (pow.f64 (cosh.f64 x) -1))
(/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(/.f64 1 (cosh.f64 x))
(*.f64 (pow.f64 (pow.f64 (cosh.f64 x) -3/2) 1/3) (pow.f64 (pow.f64 (cosh.f64 x) -3/2) 1/3))
(pow.f64 (cbrt.f64 (pow.f64 (cosh.f64 x) -3/2)) 2)
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (cosh.f64 x) -6)) 1/3) (cbrt.f64 (pow.f64 (cosh.f64 x) -1)))
(*.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (cosh.f64 x) -6))) (cbrt.f64 (/.f64 1 (cosh.f64 x))))
(pow.f64 (cosh.f64 x) -1)
(/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(/.f64 1 (cosh.f64 x))
(pow.f64 (pow.f64 (cosh.f64 x) -3) 1/3)
(/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(/.f64 1 (cosh.f64 x))
(pow.f64 (pow.f64 (cosh.f64 x) -1) 1)
(/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(/.f64 1 (cosh.f64 x))
(pow.f64 (cbrt.f64 (pow.f64 (cosh.f64 x) -3/2)) 2)
(pow.f64 (cbrt.f64 (pow.f64 (cosh.f64 x) -1)) 3)
(/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(/.f64 1 (cosh.f64 x))
(sqrt.f64 (cbrt.f64 (pow.f64 (cosh.f64 x) -6)))
(log.f64 (exp.f64 (pow.f64 (cosh.f64 x) -1)))
(/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(/.f64 1 (cosh.f64 x))
(expm1.f64 (log1p.f64 (pow.f64 (cosh.f64 x) -1)))
(/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(/.f64 1 (cosh.f64 x))
(exp.f64 (log.f64 (pow.f64 (cosh.f64 x) -1)))
(/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(/.f64 1 (cosh.f64 x))
(exp.f64 (.f64 (.f64 -3 (log.f64 (cosh.f64 x))) 1/3))
(/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(/.f64 1 (cosh.f64 x))
(exp.f64 (*.f64 (log.f64 (pow.f64 (cosh.f64 x) -1)) 1))
(/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(/.f64 1 (cosh.f64 x))
(log1p.f64 (expm1.f64 (pow.f64 (cosh.f64 x) -1)))
(/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(/.f64 1 (cosh.f64 x))

localize7.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.3b	(*.f64 (/.f64 2 x) (/.f64 1 x))

Compiler

Compiled 17 to 12 computations (29.4% saved)

series0.0ms (0%)

Counts

1 → 12

Calls

3 calls:

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

rewrite76.0ms (1.5%)

Algorithm

1×	batch-egg-rewrite

Rules

1504×	`add-sqr-sqrt`
1480×	`*-un-lft-identity`
1386×	`add-cube-cbrt`
1368×	`add-cbrt-cube`
1352×	`add-exp-log`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	13
1	170	13
2	1994	13

Stop Event

1×	node limit

Counts

1 → 36

Calls

Call 1

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

Outputs

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

simplify51.0ms (1%)

Algorithm

1×	egg-herbie

Rules

1148×	`associate-/r/`
954×	`distribute-lft-in`
948×	`distribute-rgt-in`
866×	`associate-r`
678×	`associate-l`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	94	628
1	212	628
2	676	628
3	3309	628

Stop Event

1×	node limit

Counts

48 → 38

Calls

Call 1

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

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

localize9.0ms (0.2%)

Local error

Found 2 expressions with local error:

New	Error	Program
	0.3b	(/.f64 2 (*.f64 x x))
✓	1.2b	(-.f64 (+.f64 1 (/.f64 2 (*.f64 x x))) 1)

Compiler

Compiled 28 to 16 computations (42.9% saved)

series1.0ms (0%)

Counts

1 → 12

Calls

3 calls:

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

rewrite61.0ms (1.2%)

Algorithm

1×	batch-egg-rewrite

Rules

1950×	`add-sqr-sqrt`
1924×	`*-un-lft-identity`
1812×	`add-cube-cbrt`
1802×	`add-cbrt-cube`
196×	`pow1`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	9	25
1	204	13
2	2779	13

Stop Event

1×	node limit

Counts

1 → 56

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (fma.f64 2 (pow.f64 x -2) -1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (*.f64 (fma.f64 2 (pow.f64 x -2) -1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 2 (pow.f64 x -2)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 2 (pow.f64 x -2) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 2 (pow.f64 x -2) -1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (fma.f64 2 (pow.f64 x -2) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 2 (pow.f64 x -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (pow.f64 x -2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 2 (pow.f64 x -2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 2) x) (/.f64 (sqrt.f64 2) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 2 (pow.f64 x -2))) (cbrt.f64 (/.f64 4 (pow.f64 x 4))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 4 (pow.f64 x 4))) (cbrt.f64 (*.f64 2 (pow.f64 x -2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 2 x) (/.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 (fma.f64 2 (pow.f64 x -2) 1) 2) -1) (/.f64 1 (+.f64 (*.f64 2 (pow.f64 x -2)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 x -2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 (fma.f64 2 (pow.f64 x -2) 1) 3) -1) (/.f64 1 (+.f64 (pow.f64 (fma.f64 2 (pow.f64 x -2) 1) 2) (+.f64 (*.f64 2 (pow.f64 x -2)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -2 (/.f64 1 (*.f64 x (neg.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (hypot.f64 1 (/.f64 (sqrt.f64 2) x)) 1) (-.f64 (hypot.f64 1 (/.f64 (sqrt.f64 2) x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (*.f64 (*.f64 x x) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (*.f64 2 (pow.f64 x -2)) 2) (+.f64 (pow.f64 (fma.f64 2 (pow.f64 x -2) 1) 2) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (pow.f64 (fma.f64 2 (pow.f64 x -2) 1) 2) (+.f64 (*.f64 2 (pow.f64 x -2)) 2)) (+.f64 (pow.f64 (fma.f64 2 (pow.f64 x -2) 1) 3) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (*.f64 (*.f64 x x) 1/2) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 2 (*.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 2 (neg.f64 (*.f64 x (neg.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 2 x) x)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (fma.f64 2 (pow.f64 x -2) 1) 2) -1) (+.f64 (*.f64 2 (pow.f64 x -2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (fma.f64 2 (pow.f64 x -2) 1) 2) -1) (-.f64 (fma.f64 2 (pow.f64 x -2) 1) -1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -1 (neg.f64 (*.f64 (*.f64 x x) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (fma.f64 2 (pow.f64 x -2) 1) 3) -1) (+.f64 (pow.f64 (fma.f64 2 (pow.f64 x -2) 1) 2) (+.f64 (*.f64 2 (pow.f64 x -2)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (fma.f64 2 (pow.f64 x -2) 1) 3) -1) (+.f64 (pow.f64 (fma.f64 2 (pow.f64 x -2) 1) 2) (-.f64 1 (*.f64 (fma.f64 2 (pow.f64 x -2) 1) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -2 (*.f64 x (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 2 (cbrt.f64 (pow.f64 x 4))) (cbrt.f64 (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (/.f64 2 x) 1) x)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (/.f64 2 x) (sqrt.f64 x)) (sqrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (/.f64 2 x) (cbrt.f64 (*.f64 x x))) (cbrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 (*.f64 (fma.f64 2 (pow.f64 x -2) -1) (fma.f64 2 (pow.f64 x -2) -1))) (-.f64 1 (fma.f64 2 (pow.f64 x -2) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1 (pow.f64 (fma.f64 2 (pow.f64 x -2) -1) 3)) (+.f64 1 (-.f64 (*.f64 (fma.f64 2 (pow.f64 x -2) -1) (fma.f64 2 (pow.f64 x -2) -1)) (fma.f64 2 (pow.f64 x -2) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 (fma.f64 2 (pow.f64 x -2) 1) 2) -1)) (neg.f64 (+.f64 (*.f64 2 (pow.f64 x -2)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 (fma.f64 2 (pow.f64 x -2) 1) 3) -1)) (neg.f64 (+.f64 (pow.f64 (fma.f64 2 (pow.f64 x -2) 1) 2) (+.f64 (*.f64 2 (pow.f64 x -2)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (/.f64 2 x)) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 2 (pow.f64 x -2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (sqrt.f64 2) x) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 2 (pow.f64 x -2))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (*.f64 x x) 1/2) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 8 (pow.f64 (*.f64 x x) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (/.f64 4 (pow.f64 x 4)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 2) (pow.f64 x -2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 2 (pow.f64 x -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 8 (pow.f64 (*.f64 x x) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 2 (pow.f64 x -2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 2 (pow.f64 x -2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 2 (pow.f64 x -2))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 2 (pow.f64 x -2))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (fma.f64 2 (pow.f64 x -2) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (hypot.f64 1 (/.f64 (sqrt.f64 2) x)) (hypot.f64 1 (/.f64 (sqrt.f64 2) x)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (fma.f64 2 (pow.f64 x -2) 1)) 2) (cbrt.f64 (fma.f64 2 (pow.f64 x -2) 1)) -1)))))

simplify69.0ms (1.4%)

Algorithm

1×	egg-herbie

Rules

1054×	`associate-+r-`
902×	`associate--l+`
818×	`associate-+l-`
728×	`associate-r`
726×	`associate-l`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	141	1740
1	338	1634
2	1037	1622
3	4978	1622

Stop Event

1×	node limit

Counts

68 → 76

Calls

Call 1

Inputs
(/.f64 2 (pow.f64 x 2))
(/.f64 2 (pow.f64 x 2))
(/.f64 2 (pow.f64 x 2))
(/.f64 2 (pow.f64 x 2))
(/.f64 2 (pow.f64 x 2))
(/.f64 2 (pow.f64 x 2))
(/.f64 2 (pow.f64 x 2))
(/.f64 2 (pow.f64 x 2))
(/.f64 2 (pow.f64 x 2))
(/.f64 2 (pow.f64 x 2))
(/.f64 2 (pow.f64 x 2))
(/.f64 2 (pow.f64 x 2))
(+.f64 1 (fma.f64 2 (pow.f64 x -2) -1))
(+.f64 1 (*.f64 (fma.f64 2 (pow.f64 x -2) -1) 1))
(+.f64 (*.f64 2 (pow.f64 x -2)) 0)
(+.f64 (fma.f64 2 (pow.f64 x -2) 1) -1)
(+.f64 (fma.f64 2 (pow.f64 x -2) -1) 1)
(+.f64 -1 (fma.f64 2 (pow.f64 x -2) 1))
(.f64 1 (.f64 2 (pow.f64 x -2)))
(*.f64 2 (pow.f64 x -2))
(.f64 (.f64 2 (pow.f64 x -2)) 1)
(*.f64 (/.f64 (sqrt.f64 2) x) (/.f64 (sqrt.f64 2) x))
(.f64 (cbrt.f64 (.f64 2 (pow.f64 x -2))) (cbrt.f64 (/.f64 4 (pow.f64 x 4))))
(.f64 (cbrt.f64 (/.f64 4 (pow.f64 x 4))) (cbrt.f64 (.f64 2 (pow.f64 x -2))))
(*.f64 (/.f64 2 x) (/.f64 1 x))
(.f64 (+.f64 (pow.f64 (fma.f64 2 (pow.f64 x -2) 1) 2) -1) (/.f64 1 (+.f64 (.f64 2 (pow.f64 x -2)) 2)))
(*.f64 (pow.f64 x -2) 2)
(.f64 (+.f64 (pow.f64 (fma.f64 2 (pow.f64 x -2) 1) 3) -1) (/.f64 1 (+.f64 (pow.f64 (fma.f64 2 (pow.f64 x -2) 1) 2) (+.f64 (.f64 2 (pow.f64 x -2)) 2))))
(.f64 -2 (/.f64 1 (.f64 x (neg.f64 x))))
(*.f64 (+.f64 (hypot.f64 1 (/.f64 (sqrt.f64 2) x)) 1) (-.f64 (hypot.f64 1 (/.f64 (sqrt.f64 2) x)) 1))
(/.f64 1 (.f64 (.f64 x x) 1/2))
(/.f64 1 (/.f64 (+.f64 (*.f64 2 (pow.f64 x -2)) 2) (+.f64 (pow.f64 (fma.f64 2 (pow.f64 x -2) 1) 2) -1)))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (fma.f64 2 (pow.f64 x -2) 1) 2) (+.f64 (*.f64 2 (pow.f64 x -2)) 2)) (+.f64 (pow.f64 (fma.f64 2 (pow.f64 x -2) 1) 3) -1)))
(/.f64 1 (/.f64 (.f64 (.f64 x x) 1/2) 1))
(/.f64 2 (*.f64 x x))
(/.f64 2 (neg.f64 (*.f64 x (neg.f64 x))))
(/.f64 (/.f64 2 x) x)
(/.f64 (+.f64 (pow.f64 (fma.f64 2 (pow.f64 x -2) 1) 2) -1) (+.f64 (*.f64 2 (pow.f64 x -2)) 2))
(/.f64 (+.f64 (pow.f64 (fma.f64 2 (pow.f64 x -2) 1) 2) -1) (-.f64 (fma.f64 2 (pow.f64 x -2) 1) -1))
(/.f64 -1 (neg.f64 (.f64 (.f64 x x) 1/2)))
(/.f64 (+.f64 (pow.f64 (fma.f64 2 (pow.f64 x -2) 1) 3) -1) (+.f64 (pow.f64 (fma.f64 2 (pow.f64 x -2) 1) 2) (+.f64 (*.f64 2 (pow.f64 x -2)) 2)))
(/.f64 (+.f64 (pow.f64 (fma.f64 2 (pow.f64 x -2) 1) 3) -1) (+.f64 (pow.f64 (fma.f64 2 (pow.f64 x -2) 1) 2) (-.f64 1 (*.f64 (fma.f64 2 (pow.f64 x -2) 1) -1))))
(/.f64 -2 (*.f64 x (neg.f64 x)))
(/.f64 (/.f64 2 (cbrt.f64 (pow.f64 x 4))) (cbrt.f64 (*.f64 x x)))
(/.f64 (/.f64 (/.f64 2 x) 1) x)
(/.f64 (/.f64 (/.f64 2 x) (sqrt.f64 x)) (sqrt.f64 x))
(/.f64 (/.f64 (/.f64 2 x) (cbrt.f64 (*.f64 x x))) (cbrt.f64 x))
(/.f64 (-.f64 1 (*.f64 (fma.f64 2 (pow.f64 x -2) -1) (fma.f64 2 (pow.f64 x -2) -1))) (-.f64 1 (fma.f64 2 (pow.f64 x -2) -1)))
(/.f64 (+.f64 1 (pow.f64 (fma.f64 2 (pow.f64 x -2) -1) 3)) (+.f64 1 (-.f64 (*.f64 (fma.f64 2 (pow.f64 x -2) -1) (fma.f64 2 (pow.f64 x -2) -1)) (fma.f64 2 (pow.f64 x -2) -1))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (fma.f64 2 (pow.f64 x -2) 1) 2) -1)) (neg.f64 (+.f64 (*.f64 2 (pow.f64 x -2)) 2)))
(/.f64 (neg.f64 (+.f64 (pow.f64 (fma.f64 2 (pow.f64 x -2) 1) 3) -1)) (neg.f64 (+.f64 (pow.f64 (fma.f64 2 (pow.f64 x -2) 1) 2) (+.f64 (*.f64 2 (pow.f64 x -2)) 2))))
(/.f64 (neg.f64 (/.f64 2 x)) (neg.f64 x))
(pow.f64 (*.f64 2 (pow.f64 x -2)) 1)
(pow.f64 (/.f64 (sqrt.f64 2) x) 2)
(pow.f64 (cbrt.f64 (*.f64 2 (pow.f64 x -2))) 3)
(pow.f64 (.f64 (.f64 x x) 1/2) -1)
(pow.f64 (/.f64 8 (pow.f64 (*.f64 x x) 3)) 1/3)
(sqrt.f64 (/.f64 4 (pow.f64 x 4)))
(log.f64 (pow.f64 (exp.f64 2) (pow.f64 x -2)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 2 (pow.f64 x -2)))))
(cbrt.f64 (/.f64 8 (pow.f64 (*.f64 x x) 3)))
(expm1.f64 (log1p.f64 (*.f64 2 (pow.f64 x -2))))
(exp.f64 (log.f64 (*.f64 2 (pow.f64 x -2))))
(exp.f64 (.f64 (log.f64 (.f64 2 (pow.f64 x -2))) 1))
(log1p.f64 (expm1.f64 (*.f64 2 (pow.f64 x -2))))
(fma.f64 1 (fma.f64 2 (pow.f64 x -2) 1) -1)
(fma.f64 (hypot.f64 1 (/.f64 (sqrt.f64 2) x)) (hypot.f64 1 (/.f64 (sqrt.f64 2) x)) -1)
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 2 (pow.f64 x -2) 1)) 2) (cbrt.f64 (fma.f64 2 (pow.f64 x -2) 1)) -1)

Outputs
(/.f64 2 (pow.f64 x 2))
(/.f64 2 (*.f64 x x))
(/.f64 2 (pow.f64 x 2))
(/.f64 2 (*.f64 x x))
(/.f64 2 (pow.f64 x 2))
(/.f64 2 (*.f64 x x))
(/.f64 2 (pow.f64 x 2))
(/.f64 2 (*.f64 x x))
(/.f64 2 (pow.f64 x 2))
(/.f64 2 (*.f64 x x))
(/.f64 2 (pow.f64 x 2))
(/.f64 2 (*.f64 x x))
(/.f64 2 (pow.f64 x 2))
(/.f64 2 (*.f64 x x))
(/.f64 2 (pow.f64 x 2))
(/.f64 2 (*.f64 x x))
(/.f64 2 (pow.f64 x 2))
(/.f64 2 (*.f64 x x))
(/.f64 2 (pow.f64 x 2))
(/.f64 2 (*.f64 x x))
(/.f64 2 (pow.f64 x 2))
(/.f64 2 (*.f64 x x))
(/.f64 2 (pow.f64 x 2))
(/.f64 2 (*.f64 x x))
(+.f64 1 (fma.f64 2 (pow.f64 x -2) -1))
(/.f64 2 (*.f64 x x))
(+.f64 1 (*.f64 (fma.f64 2 (pow.f64 x -2) -1) 1))
(/.f64 2 (*.f64 x x))
(+.f64 (*.f64 2 (pow.f64 x -2)) 0)
(/.f64 2 (*.f64 x x))
(+.f64 (fma.f64 2 (pow.f64 x -2) 1) -1)
(/.f64 2 (*.f64 x x))
(+.f64 (fma.f64 2 (pow.f64 x -2) -1) 1)
(/.f64 2 (*.f64 x x))
(+.f64 -1 (fma.f64 2 (pow.f64 x -2) 1))
(/.f64 2 (*.f64 x x))
(.f64 1 (.f64 2 (pow.f64 x -2)))
(/.f64 2 (*.f64 x x))
(*.f64 2 (pow.f64 x -2))
(/.f64 2 (*.f64 x x))
(.f64 (.f64 2 (pow.f64 x -2)) 1)
(/.f64 2 (*.f64 x x))
(*.f64 (/.f64 (sqrt.f64 2) x) (/.f64 (sqrt.f64 2) x))
(/.f64 2 (*.f64 x x))
(.f64 (cbrt.f64 (.f64 2 (pow.f64 x -2))) (cbrt.f64 (/.f64 4 (pow.f64 x 4))))
(.f64 (cbrt.f64 (/.f64 2 (.f64 x x))) (cbrt.f64 (/.f64 4 (pow.f64 x 4))))
(.f64 (cbrt.f64 (/.f64 4 (pow.f64 x 4))) (cbrt.f64 (.f64 2 (pow.f64 x -2))))
(.f64 (cbrt.f64 (.f64 2 (pow.f64 x -2))) (cbrt.f64 (/.f64 4 (pow.f64 x 4))))
(.f64 (cbrt.f64 (/.f64 2 (.f64 x x))) (cbrt.f64 (/.f64 4 (pow.f64 x 4))))
(*.f64 (/.f64 2 x) (/.f64 1 x))
(/.f64 2 (*.f64 x x))
(.f64 (+.f64 (pow.f64 (fma.f64 2 (pow.f64 x -2) 1) 2) -1) (/.f64 1 (+.f64 (.f64 2 (pow.f64 x -2)) 2)))
(*.f64 (+.f64 -1 (pow.f64 (fma.f64 2 (pow.f64 x -2) 1) 2)) (/.f64 1 (fma.f64 2 (pow.f64 x -2) 2)))
(/.f64 (+.f64 -1 (pow.f64 (fma.f64 2 (pow.f64 x -2) 1) 2)) (fma.f64 2 (pow.f64 x -2) 2))
(*.f64 (pow.f64 x -2) 2)
(/.f64 2 (*.f64 x x))
(.f64 (+.f64 (pow.f64 (fma.f64 2 (pow.f64 x -2) 1) 3) -1) (/.f64 1 (+.f64 (pow.f64 (fma.f64 2 (pow.f64 x -2) 1) 2) (+.f64 (.f64 2 (pow.f64 x -2)) 2))))
(*.f64 (+.f64 -1 (pow.f64 (fma.f64 2 (pow.f64 x -2) 1) 3)) (/.f64 1 (+.f64 (pow.f64 (fma.f64 2 (pow.f64 x -2) 1) 2) (fma.f64 2 (pow.f64 x -2) 2))))
(/.f64 (+.f64 -1 (pow.f64 (fma.f64 2 (pow.f64 x -2) 1) 3)) (+.f64 (pow.f64 (fma.f64 2 (pow.f64 x -2) 1) 2) (fma.f64 2 (pow.f64 x -2) 2)))
(/.f64 (+.f64 -1 (pow.f64 (fma.f64 2 (pow.f64 x -2) 1) 3)) (-.f64 1 (*.f64 (fma.f64 2 (pow.f64 x -2) 1) (fma.f64 -2 (pow.f64 x -2) -2))))
(/.f64 (-.f64 1 (pow.f64 (fma.f64 2 (pow.f64 x -2) 1) 3)) (+.f64 -1 (*.f64 (fma.f64 -2 (pow.f64 x -2) -1) (fma.f64 2 (pow.f64 x -2) 2))))
(.f64 -2 (/.f64 1 (.f64 x (neg.f64 x))))
(/.f64 2 (*.f64 x x))
(*.f64 (+.f64 (hypot.f64 1 (/.f64 (sqrt.f64 2) x)) 1) (-.f64 (hypot.f64 1 (/.f64 (sqrt.f64 2) x)) 1))
(*.f64 (+.f64 1 (hypot.f64 1 (/.f64 (sqrt.f64 2) x))) (+.f64 (hypot.f64 1 (/.f64 (sqrt.f64 2) x)) -1))
(fma.f64 (hypot.f64 1 (/.f64 (sqrt.f64 2) x)) (hypot.f64 1 (/.f64 (sqrt.f64 2) x)) -1)
(/.f64 1 (.f64 (.f64 x x) 1/2))
(/.f64 2 (*.f64 x x))
(/.f64 1 (/.f64 (+.f64 (*.f64 2 (pow.f64 x -2)) 2) (+.f64 (pow.f64 (fma.f64 2 (pow.f64 x -2) 1) 2) -1)))
(*.f64 (+.f64 -1 (pow.f64 (fma.f64 2 (pow.f64 x -2) 1) 2)) (/.f64 1 (fma.f64 2 (pow.f64 x -2) 2)))
(/.f64 (+.f64 -1 (pow.f64 (fma.f64 2 (pow.f64 x -2) 1) 2)) (fma.f64 2 (pow.f64 x -2) 2))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (fma.f64 2 (pow.f64 x -2) 1) 2) (+.f64 (*.f64 2 (pow.f64 x -2)) 2)) (+.f64 (pow.f64 (fma.f64 2 (pow.f64 x -2) 1) 3) -1)))
(*.f64 (+.f64 -1 (pow.f64 (fma.f64 2 (pow.f64 x -2) 1) 3)) (/.f64 1 (+.f64 (pow.f64 (fma.f64 2 (pow.f64 x -2) 1) 2) (fma.f64 2 (pow.f64 x -2) 2))))
(/.f64 (+.f64 -1 (pow.f64 (fma.f64 2 (pow.f64 x -2) 1) 3)) (+.f64 (pow.f64 (fma.f64 2 (pow.f64 x -2) 1) 2) (fma.f64 2 (pow.f64 x -2) 2)))
(/.f64 (+.f64 -1 (pow.f64 (fma.f64 2 (pow.f64 x -2) 1) 3)) (-.f64 1 (*.f64 (fma.f64 2 (pow.f64 x -2) 1) (fma.f64 -2 (pow.f64 x -2) -2))))
(/.f64 (-.f64 1 (pow.f64 (fma.f64 2 (pow.f64 x -2) 1) 3)) (+.f64 -1 (*.f64 (fma.f64 -2 (pow.f64 x -2) -1) (fma.f64 2 (pow.f64 x -2) 2))))
(/.f64 1 (/.f64 (.f64 (.f64 x x) 1/2) 1))
(/.f64 2 (*.f64 x x))
(/.f64 2 (*.f64 x x))
(/.f64 2 (neg.f64 (*.f64 x (neg.f64 x))))
(/.f64 2 (*.f64 x x))
(/.f64 (/.f64 2 x) x)
(/.f64 2 (*.f64 x x))
(/.f64 (+.f64 (pow.f64 (fma.f64 2 (pow.f64 x -2) 1) 2) -1) (+.f64 (*.f64 2 (pow.f64 x -2)) 2))
(*.f64 (+.f64 -1 (pow.f64 (fma.f64 2 (pow.f64 x -2) 1) 2)) (/.f64 1 (fma.f64 2 (pow.f64 x -2) 2)))
(/.f64 (+.f64 -1 (pow.f64 (fma.f64 2 (pow.f64 x -2) 1) 2)) (fma.f64 2 (pow.f64 x -2) 2))
(/.f64 (+.f64 (pow.f64 (fma.f64 2 (pow.f64 x -2) 1) 2) -1) (-.f64 (fma.f64 2 (pow.f64 x -2) 1) -1))
(*.f64 (+.f64 -1 (pow.f64 (fma.f64 2 (pow.f64 x -2) 1) 2)) (/.f64 1 (fma.f64 2 (pow.f64 x -2) 2)))
(/.f64 (+.f64 -1 (pow.f64 (fma.f64 2 (pow.f64 x -2) 1) 2)) (fma.f64 2 (pow.f64 x -2) 2))
(/.f64 -1 (neg.f64 (.f64 (.f64 x x) 1/2)))
(/.f64 2 (*.f64 x x))
(/.f64 (+.f64 (pow.f64 (fma.f64 2 (pow.f64 x -2) 1) 3) -1) (+.f64 (pow.f64 (fma.f64 2 (pow.f64 x -2) 1) 2) (+.f64 (*.f64 2 (pow.f64 x -2)) 2)))
(*.f64 (+.f64 -1 (pow.f64 (fma.f64 2 (pow.f64 x -2) 1) 3)) (/.f64 1 (+.f64 (pow.f64 (fma.f64 2 (pow.f64 x -2) 1) 2) (fma.f64 2 (pow.f64 x -2) 2))))
(/.f64 (+.f64 -1 (pow.f64 (fma.f64 2 (pow.f64 x -2) 1) 3)) (+.f64 (pow.f64 (fma.f64 2 (pow.f64 x -2) 1) 2) (fma.f64 2 (pow.f64 x -2) 2)))
(/.f64 (+.f64 -1 (pow.f64 (fma.f64 2 (pow.f64 x -2) 1) 3)) (-.f64 1 (*.f64 (fma.f64 2 (pow.f64 x -2) 1) (fma.f64 -2 (pow.f64 x -2) -2))))
(/.f64 (-.f64 1 (pow.f64 (fma.f64 2 (pow.f64 x -2) 1) 3)) (+.f64 -1 (*.f64 (fma.f64 -2 (pow.f64 x -2) -1) (fma.f64 2 (pow.f64 x -2) 2))))
(/.f64 (+.f64 (pow.f64 (fma.f64 2 (pow.f64 x -2) 1) 3) -1) (+.f64 (pow.f64 (fma.f64 2 (pow.f64 x -2) 1) 2) (-.f64 1 (*.f64 (fma.f64 2 (pow.f64 x -2) 1) -1))))
(*.f64 (+.f64 -1 (pow.f64 (fma.f64 2 (pow.f64 x -2) 1) 3)) (/.f64 1 (+.f64 (pow.f64 (fma.f64 2 (pow.f64 x -2) 1) 2) (fma.f64 2 (pow.f64 x -2) 2))))
(/.f64 (+.f64 -1 (pow.f64 (fma.f64 2 (pow.f64 x -2) 1) 3)) (+.f64 (pow.f64 (fma.f64 2 (pow.f64 x -2) 1) 2) (fma.f64 2 (pow.f64 x -2) 2)))
(/.f64 (+.f64 -1 (pow.f64 (fma.f64 2 (pow.f64 x -2) 1) 3)) (-.f64 1 (*.f64 (fma.f64 2 (pow.f64 x -2) 1) (fma.f64 -2 (pow.f64 x -2) -2))))
(/.f64 (-.f64 1 (pow.f64 (fma.f64 2 (pow.f64 x -2) 1) 3)) (+.f64 -1 (*.f64 (fma.f64 -2 (pow.f64 x -2) -1) (fma.f64 2 (pow.f64 x -2) 2))))
(/.f64 -2 (*.f64 x (neg.f64 x)))
(/.f64 2 (*.f64 x x))
(/.f64 (/.f64 2 (cbrt.f64 (pow.f64 x 4))) (cbrt.f64 (*.f64 x x)))
(/.f64 2 (.f64 (cbrt.f64 (pow.f64 x 4)) (cbrt.f64 (.f64 x x))))
(/.f64 (/.f64 (/.f64 2 x) 1) x)
(/.f64 2 (*.f64 x x))
(/.f64 (/.f64 (/.f64 2 x) (sqrt.f64 x)) (sqrt.f64 x))
(/.f64 2 (*.f64 x x))
(/.f64 (/.f64 (/.f64 2 x) (cbrt.f64 (*.f64 x x))) (cbrt.f64 x))
(/.f64 2 (.f64 (cbrt.f64 x) (.f64 x (cbrt.f64 (*.f64 x x)))))
(/.f64 2 (.f64 x (.f64 (cbrt.f64 (*.f64 x x)) (cbrt.f64 x))))
(/.f64 2 (.f64 (cbrt.f64 (.f64 x x)) (*.f64 (cbrt.f64 x) x)))
(/.f64 (-.f64 1 (*.f64 (fma.f64 2 (pow.f64 x -2) -1) (fma.f64 2 (pow.f64 x -2) -1))) (-.f64 1 (fma.f64 2 (pow.f64 x -2) -1)))
(/.f64 (fma.f64 (fma.f64 2 (pow.f64 x -2) -1) (fma.f64 -2 (pow.f64 x -2) 1) 1) (+.f64 (/.f64 (/.f64 -2 x) x) 2))
(/.f64 (.f64 (/.f64 2 (.f64 x x)) (+.f64 2 (/.f64 -2 (.f64 x x)))) (+.f64 2 (/.f64 -2 (.f64 x x))))
(/.f64 (+.f64 1 (pow.f64 (fma.f64 2 (pow.f64 x -2) -1) 3)) (+.f64 1 (-.f64 (*.f64 (fma.f64 2 (pow.f64 x -2) -1) (fma.f64 2 (pow.f64 x -2) -1)) (fma.f64 2 (pow.f64 x -2) -1))))
(/.f64 (+.f64 1 (pow.f64 (fma.f64 2 (pow.f64 x -2) -1) 3)) (+.f64 1 (fma.f64 (fma.f64 2 (pow.f64 x -2) -1) (fma.f64 2 (pow.f64 x -2) -1) (neg.f64 (fma.f64 2 (pow.f64 x -2) -1)))))
(/.f64 (+.f64 1 (pow.f64 (fma.f64 2 (pow.f64 x -2) -1) 3)) (+.f64 1 (*.f64 (fma.f64 2 (pow.f64 x -2) -1) (-.f64 (fma.f64 2 (pow.f64 x -2) -1) 1))))
(/.f64 (+.f64 1 (pow.f64 (fma.f64 2 (pow.f64 x -2) -1) 3)) (fma.f64 (fma.f64 2 (pow.f64 x -2) -1) (+.f64 (/.f64 2 (*.f64 x x)) -2) 1))
(/.f64 (+.f64 1 (pow.f64 (fma.f64 2 (pow.f64 x -2) -1) 3)) (fma.f64 (fma.f64 2 (pow.f64 x -2) -1) (-.f64 -2 (/.f64 -2 (*.f64 x x))) 1))
(/.f64 (neg.f64 (+.f64 (pow.f64 (fma.f64 2 (pow.f64 x -2) 1) 2) -1)) (neg.f64 (+.f64 (*.f64 2 (pow.f64 x -2)) 2)))
(*.f64 (+.f64 -1 (pow.f64 (fma.f64 2 (pow.f64 x -2) 1) 2)) (/.f64 1 (fma.f64 2 (pow.f64 x -2) 2)))
(/.f64 (+.f64 -1 (pow.f64 (fma.f64 2 (pow.f64 x -2) 1) 2)) (fma.f64 2 (pow.f64 x -2) 2))
(/.f64 (neg.f64 (+.f64 (pow.f64 (fma.f64 2 (pow.f64 x -2) 1) 3) -1)) (neg.f64 (+.f64 (pow.f64 (fma.f64 2 (pow.f64 x -2) 1) 2) (+.f64 (*.f64 2 (pow.f64 x -2)) 2))))
(*.f64 (+.f64 -1 (pow.f64 (fma.f64 2 (pow.f64 x -2) 1) 3)) (/.f64 1 (+.f64 (pow.f64 (fma.f64 2 (pow.f64 x -2) 1) 2) (fma.f64 2 (pow.f64 x -2) 2))))
(/.f64 (+.f64 -1 (pow.f64 (fma.f64 2 (pow.f64 x -2) 1) 3)) (+.f64 (pow.f64 (fma.f64 2 (pow.f64 x -2) 1) 2) (fma.f64 2 (pow.f64 x -2) 2)))
(/.f64 (+.f64 -1 (pow.f64 (fma.f64 2 (pow.f64 x -2) 1) 3)) (-.f64 1 (*.f64 (fma.f64 2 (pow.f64 x -2) 1) (fma.f64 -2 (pow.f64 x -2) -2))))
(/.f64 (-.f64 1 (pow.f64 (fma.f64 2 (pow.f64 x -2) 1) 3)) (+.f64 -1 (*.f64 (fma.f64 -2 (pow.f64 x -2) -1) (fma.f64 2 (pow.f64 x -2) 2))))
(/.f64 (neg.f64 (/.f64 2 x)) (neg.f64 x))
(/.f64 2 (*.f64 x x))
(pow.f64 (*.f64 2 (pow.f64 x -2)) 1)
(/.f64 2 (*.f64 x x))
(pow.f64 (/.f64 (sqrt.f64 2) x) 2)
(/.f64 2 (*.f64 x x))
(pow.f64 (cbrt.f64 (*.f64 2 (pow.f64 x -2))) 3)
(/.f64 2 (*.f64 x x))
(pow.f64 (.f64 (.f64 x x) 1/2) -1)
(/.f64 2 (*.f64 x x))
(pow.f64 (/.f64 8 (pow.f64 (*.f64 x x) 3)) 1/3)
(cbrt.f64 (/.f64 8 (pow.f64 (*.f64 x x) 3)))
(cbrt.f64 (/.f64 8 (pow.f64 x 6)))
(sqrt.f64 (/.f64 4 (pow.f64 x 4)))
(log.f64 (pow.f64 (exp.f64 2) (pow.f64 x -2)))
(/.f64 2 (*.f64 x x))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 2 (pow.f64 x -2)))))
(/.f64 2 (*.f64 x x))
(cbrt.f64 (/.f64 8 (pow.f64 (*.f64 x x) 3)))
(cbrt.f64 (/.f64 8 (pow.f64 x 6)))
(expm1.f64 (log1p.f64 (*.f64 2 (pow.f64 x -2))))
(/.f64 2 (*.f64 x x))
(exp.f64 (log.f64 (*.f64 2 (pow.f64 x -2))))
(/.f64 2 (*.f64 x x))
(exp.f64 (.f64 (log.f64 (.f64 2 (pow.f64 x -2))) 1))
(/.f64 2 (*.f64 x x))
(log1p.f64 (expm1.f64 (*.f64 2 (pow.f64 x -2))))
(/.f64 2 (*.f64 x x))
(fma.f64 1 (fma.f64 2 (pow.f64 x -2) 1) -1)
(/.f64 2 (*.f64 x x))
(fma.f64 (hypot.f64 1 (/.f64 (sqrt.f64 2) x)) (hypot.f64 1 (/.f64 (sqrt.f64 2) x)) -1)
(*.f64 (+.f64 1 (hypot.f64 1 (/.f64 (sqrt.f64 2) x))) (+.f64 (hypot.f64 1 (/.f64 (sqrt.f64 2) x)) -1))
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 2 (pow.f64 x -2) 1)) 2) (cbrt.f64 (fma.f64 2 (pow.f64 x -2) 1)) -1)
(/.f64 2 (*.f64 x x))

localize6.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(pow.f64 (cosh.f64 x) -1/3)
	0.0b	(cosh.f64 x)
✓	0.0b	(pow.f64 (pow.f64 (cosh.f64 x) -1/3) 3)

Compiler

Compiled 16 to 10 computations (37.5% saved)

series50.0ms (1%)

Counts

2 → 24

Calls

6 calls:

Time	Variable		Point	Expression
36.0ms	x	@	inf	(pow.f64 (pow.f64 (cosh.f64 x) -1/3) 3)
13.0ms	x	@	-inf	(pow.f64 (pow.f64 (cosh.f64 x) -1/3) 3)
1.0ms	x	@	0	(pow.f64 (pow.f64 (cosh.f64 x) -1/3) 3)
0.0ms	x	@	inf	(pow.f64 (cosh.f64 x) -1/3)
0.0ms	x	@	-inf	(pow.f64 (cosh.f64 x) -1/3)

rewrite63.0ms (1.3%)

Algorithm

1×	batch-egg-rewrite

Rules

1698×	`add-sqr-sqrt`
1652×	`*-un-lft-identity`
1568×	`add-cube-cbrt`
1554×	`add-cbrt-cube`
180×	`add-exp-log`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	26
1	198	26
2	2207	26

Stop Event

1×	node limit

Counts

2 → 42

Calls

Call 1

Inputs
(pow.f64 (pow.f64 (cosh.f64 x) -1/3) 3)
(pow.f64 (cosh.f64 x) -1/3)

Outputs

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

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

simplify78.0ms (1.6%)

Algorithm

1×	egg-herbie

Rules

1028×	`associate-+r+`
1024×	`fma-def`
1012×	`associate-r`
946×	`associate-+l+`
846×	`associate-l`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	133	1908
1	292	1784
2	778	1498
3	2895	1454
4	7025	1454

Stop Event

1×	node limit

Counts

66 → 90

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 5/24 (pow.f64 x 4))))
(+.f64 1 (+.f64 (.f64 -1/2 (pow.f64 x 2)) (+.f64 (.f64 -61/720 (pow.f64 x 6)) (*.f64 5/24 (pow.f64 x 4)))))
(*.f64 (/.f64 1 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))) (pow.f64 8 1/3))
(*.f64 (/.f64 1 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))) (pow.f64 8 1/3))
(*.f64 (/.f64 1 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))) (pow.f64 8 1/3))
(*.f64 (/.f64 1 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))) (pow.f64 8 1/3))
(*.f64 (pow.f64 8 1/3) (/.f64 1 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))))
(*.f64 (pow.f64 8 1/3) (/.f64 1 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))))
(*.f64 (pow.f64 8 1/3) (/.f64 1 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))))
(*.f64 (pow.f64 8 1/3) (/.f64 1 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))))
1
(+.f64 1 (*.f64 -1/6 (pow.f64 x 2)))
(+.f64 1 (+.f64 (.f64 -1/6 (pow.f64 x 2)) (.f64 1/24 (pow.f64 x 4))))
(+.f64 1 (+.f64 (.f64 -1/6 (pow.f64 x 2)) (+.f64 (.f64 1/24 (pow.f64 x 4)) (*.f64 -83/6480 (pow.f64 x 6)))))
(pow.f64 (/.f64 2 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))) 1/3)
(pow.f64 (/.f64 2 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))) 1/3)
(pow.f64 (/.f64 2 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))) 1/3)
(pow.f64 (/.f64 2 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))) 1/3)
(pow.f64 (/.f64 2 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))) 1/3)
(pow.f64 (/.f64 2 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))) 1/3)
(pow.f64 (/.f64 2 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))) 1/3)
(pow.f64 (/.f64 2 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))) 1/3)
(-.f64 (exp.f64 (log1p.f64 (/.f64 1 (cosh.f64 x)))) 1)
(*.f64 (cbrt.f64 (/.f64 1 (cosh.f64 x))) (cbrt.f64 (pow.f64 (cosh.f64 x) -2)))
(*.f64 (/.f64 1 (cosh.f64 x)) 1)
(*.f64 1 (/.f64 1 (cosh.f64 x)))
(*.f64 (pow.f64 (cosh.f64 x) -1/2) (pow.f64 (cosh.f64 x) -1/2))
(.f64 (pow.f64 (cosh.f64 x) -1/6) (.f64 (pow.f64 (cosh.f64 x) -1/6) (cbrt.f64 (pow.f64 (cosh.f64 x) -2))))
(.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (cosh.f64 x) -2))) (.f64 (cbrt.f64 (cbrt.f64 (/.f64 1 (cosh.f64 x)))) (cbrt.f64 (pow.f64 (cosh.f64 x) -2))))
(*.f64 (cbrt.f64 (pow.f64 (cosh.f64 x) -2)) (cbrt.f64 (/.f64 1 (cosh.f64 x))))
(.f64 (.f64 (cbrt.f64 (pow.f64 (cosh.f64 x) -2)) 1) (cbrt.f64 (/.f64 1 (cosh.f64 x))))
(.f64 (.f64 (cbrt.f64 (pow.f64 (cosh.f64 x) -2)) (pow.f64 (cosh.f64 x) -1/6)) (pow.f64 (cosh.f64 x) -1/6))
(.f64 (.f64 (cbrt.f64 (pow.f64 (cosh.f64 x) -2)) (cbrt.f64 (cbrt.f64 (pow.f64 (cosh.f64 x) -2)))) (cbrt.f64 (cbrt.f64 (/.f64 1 (cosh.f64 x)))))
(*.f64 (pow.f64 (pow.f64 (cosh.f64 x) -1/6) 3) (pow.f64 (pow.f64 (cosh.f64 x) -1/6) 3))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (cosh.f64 x) -2))) 3) (cbrt.f64 (/.f64 1 (cosh.f64 x))))
(*.f64 (pow.f64 (sqrt.f64 (cosh.f64 x)) -1) (pow.f64 (sqrt.f64 (cosh.f64 x)) -1))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cosh.f64 x)) 2) -1) (pow.f64 (cbrt.f64 (cosh.f64 x)) -1))
(/.f64 1 (cosh.f64 x))
(sqrt.f64 (pow.f64 (cosh.f64 x) -2))
(log.f64 (exp.f64 (/.f64 1 (cosh.f64 x))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (cosh.f64 x)))))
(cbrt.f64 (pow.f64 (/.f64 1 (cosh.f64 x)) 3))
(expm1.f64 (log1p.f64 (/.f64 1 (cosh.f64 x))))
(exp.f64 (*.f64 -1 (log.f64 (cosh.f64 x))))
(exp.f64 (*.f64 (log.f64 (cosh.f64 x)) -1))
(exp.f64 (.f64 (.f64 -1 (log.f64 (cosh.f64 x))) 1))
(log1p.f64 (expm1.f64 (/.f64 1 (cosh.f64 x))))
(-.f64 (exp.f64 (log1p.f64 (cbrt.f64 (/.f64 1 (cosh.f64 x))))) 1)
(*.f64 (cbrt.f64 (/.f64 1 (cosh.f64 x))) 1)
(*.f64 1 (cbrt.f64 (/.f64 1 (cosh.f64 x))))
(*.f64 (pow.f64 (cosh.f64 x) -1/6) (pow.f64 (cosh.f64 x) -1/6))
(*.f64 (cbrt.f64 (cbrt.f64 (/.f64 1 (cosh.f64 x)))) (cbrt.f64 (cbrt.f64 (pow.f64 (cosh.f64 x) -2))))
(*.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (cosh.f64 x) -2))) (cbrt.f64 (cbrt.f64 (/.f64 1 (cosh.f64 x)))))
(*.f64 (pow.f64 1 -1/3) (cbrt.f64 (/.f64 1 (cosh.f64 x))))
(*.f64 (pow.f64 (sqrt.f64 (cosh.f64 x)) -1/3) (pow.f64 (sqrt.f64 (cosh.f64 x)) -1/3))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cosh.f64 x)) 2) -1/3) (pow.f64 (cbrt.f64 (cosh.f64 x)) -1/3))
(sqrt.f64 (cbrt.f64 (pow.f64 (cosh.f64 x) -2)))
(log.f64 (exp.f64 (cbrt.f64 (/.f64 1 (cosh.f64 x)))))
(log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 (/.f64 1 (cosh.f64 x))))))
(cbrt.f64 (/.f64 1 (cosh.f64 x)))
(expm1.f64 (log1p.f64 (cbrt.f64 (/.f64 1 (cosh.f64 x)))))
(exp.f64 (*.f64 -1/3 (log.f64 (cosh.f64 x))))
(exp.f64 (.f64 (.f64 -1/3 (log.f64 (cosh.f64 x))) 1))
(log1p.f64 (expm1.f64 (cbrt.f64 (/.f64 1 (cosh.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 5/24 (pow.f64 x 4))))
(+.f64 1 (fma.f64 -1/2 (.f64 x x) (.f64 5/24 (pow.f64 x 4))))
(fma.f64 -1/2 (*.f64 x x) (fma.f64 5/24 (pow.f64 x 4) 1))
(fma.f64 (.f64 x x) (fma.f64 x (.f64 x 5/24) -1/2) 1)
(+.f64 1 (+.f64 (.f64 -1/2 (pow.f64 x 2)) (+.f64 (.f64 -61/720 (pow.f64 x 6)) (*.f64 5/24 (pow.f64 x 4)))))
(+.f64 1 (fma.f64 -1/2 (.f64 x x) (fma.f64 -61/720 (pow.f64 x 6) (.f64 5/24 (pow.f64 x 4)))))
(+.f64 1 (fma.f64 -1/2 (.f64 x x) (fma.f64 5/24 (pow.f64 x 4) (.f64 -61/720 (pow.f64 x 6)))))
(fma.f64 -61/720 (pow.f64 x 6) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x 5/24) -1/2) 1))
(*.f64 (/.f64 1 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))) (pow.f64 8 1/3))
(/.f64 (*.f64 (cbrt.f64 8) 1) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(/.f64 (cbrt.f64 8) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(*.f64 (/.f64 1 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))) (pow.f64 8 1/3))
(/.f64 (*.f64 (cbrt.f64 8) 1) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(/.f64 (cbrt.f64 8) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(*.f64 (/.f64 1 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))) (pow.f64 8 1/3))
(/.f64 (*.f64 (cbrt.f64 8) 1) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(/.f64 (cbrt.f64 8) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(*.f64 (/.f64 1 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))) (pow.f64 8 1/3))
(/.f64 (*.f64 (cbrt.f64 8) 1) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(/.f64 (cbrt.f64 8) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(*.f64 (pow.f64 8 1/3) (/.f64 1 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))))
(/.f64 (*.f64 (cbrt.f64 8) 1) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(/.f64 (cbrt.f64 8) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(*.f64 (pow.f64 8 1/3) (/.f64 1 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))))
(/.f64 (*.f64 (cbrt.f64 8) 1) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(/.f64 (cbrt.f64 8) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(*.f64 (pow.f64 8 1/3) (/.f64 1 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))))
(/.f64 (*.f64 (cbrt.f64 8) 1) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(/.f64 (cbrt.f64 8) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(*.f64 (pow.f64 8 1/3) (/.f64 1 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))))
(/.f64 (*.f64 (cbrt.f64 8) 1) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(/.f64 (cbrt.f64 8) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
1
(+.f64 1 (*.f64 -1/6 (pow.f64 x 2)))
(+.f64 1 (.f64 (.f64 x x) -1/6))
(fma.f64 (*.f64 x x) -1/6 1)
(fma.f64 x (*.f64 x -1/6) 1)
(+.f64 1 (+.f64 (.f64 -1/6 (pow.f64 x 2)) (.f64 1/24 (pow.f64 x 4))))
(+.f64 1 (fma.f64 -1/6 (.f64 x x) (.f64 (pow.f64 x 4) 1/24)))
(+.f64 1 (fma.f64 (.f64 x x) -1/6 (.f64 (pow.f64 x 4) 1/24)))
(fma.f64 x (*.f64 x -1/6) (fma.f64 (pow.f64 x 4) 1/24 1))
(+.f64 1 (+.f64 (.f64 -1/6 (pow.f64 x 2)) (+.f64 (.f64 1/24 (pow.f64 x 4)) (*.f64 -83/6480 (pow.f64 x 6)))))
(+.f64 1 (fma.f64 -1/6 (.f64 x x) (fma.f64 1/24 (pow.f64 x 4) (.f64 (pow.f64 x 6) -83/6480))))
(+.f64 1 (fma.f64 (.f64 x x) -1/6 (fma.f64 (pow.f64 x 4) 1/24 (.f64 (pow.f64 x 6) -83/6480))))
(+.f64 (fma.f64 (pow.f64 x 6) -83/6480 (.f64 x (.f64 x -1/6))) (fma.f64 (pow.f64 x 4) 1/24 1))
(fma.f64 x (*.f64 x -1/6) (fma.f64 (pow.f64 x 4) 1/24 (fma.f64 (pow.f64 x 6) -83/6480 1)))
(pow.f64 (/.f64 2 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))) 1/3)
(cbrt.f64 (/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))))
(cbrt.f64 (/.f64 1 (cosh.f64 x)))
(pow.f64 (/.f64 2 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))) 1/3)
(cbrt.f64 (/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))))
(cbrt.f64 (/.f64 1 (cosh.f64 x)))
(pow.f64 (/.f64 2 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))) 1/3)
(cbrt.f64 (/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))))
(cbrt.f64 (/.f64 1 (cosh.f64 x)))
(pow.f64 (/.f64 2 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))) 1/3)
(cbrt.f64 (/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))))
(cbrt.f64 (/.f64 1 (cosh.f64 x)))
(pow.f64 (/.f64 2 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))) 1/3)
(cbrt.f64 (/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))))
(cbrt.f64 (/.f64 1 (cosh.f64 x)))
(pow.f64 (/.f64 2 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))) 1/3)
(cbrt.f64 (/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))))
(cbrt.f64 (/.f64 1 (cosh.f64 x)))
(pow.f64 (/.f64 2 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))) 1/3)
(cbrt.f64 (/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))))
(cbrt.f64 (/.f64 1 (cosh.f64 x)))
(pow.f64 (/.f64 2 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))) 1/3)
(cbrt.f64 (/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))))
(cbrt.f64 (/.f64 1 (cosh.f64 x)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 1 (cosh.f64 x)))) 1)
(/.f64 1 (cosh.f64 x))
(*.f64 (cbrt.f64 (/.f64 1 (cosh.f64 x))) (cbrt.f64 (pow.f64 (cosh.f64 x) -2)))
(*.f64 (/.f64 1 (cosh.f64 x)) 1)
(/.f64 1 (cosh.f64 x))
(*.f64 1 (/.f64 1 (cosh.f64 x)))
(/.f64 1 (cosh.f64 x))
(*.f64 (pow.f64 (cosh.f64 x) -1/2) (pow.f64 (cosh.f64 x) -1/2))
(/.f64 1 (cosh.f64 x))
(.f64 (pow.f64 (cosh.f64 x) -1/6) (.f64 (pow.f64 (cosh.f64 x) -1/6) (cbrt.f64 (pow.f64 (cosh.f64 x) -2))))
(.f64 (cbrt.f64 (pow.f64 (cosh.f64 x) -2)) (.f64 (pow.f64 (cosh.f64 x) -1/6) (pow.f64 (cosh.f64 x) -1/6)))
(*.f64 (cbrt.f64 (pow.f64 (cosh.f64 x) -2)) (pow.f64 (exp.f64 -1/3) (log.f64 (cosh.f64 x))))
(*.f64 (cbrt.f64 (pow.f64 (cosh.f64 x) -2)) (pow.f64 (pow.f64 (cosh.f64 x) -1/12) 4))
(.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (cosh.f64 x) -2))) (.f64 (cbrt.f64 (cbrt.f64 (/.f64 1 (cosh.f64 x)))) (cbrt.f64 (pow.f64 (cosh.f64 x) -2))))
(.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (cosh.f64 x) -2))) (.f64 (cbrt.f64 (pow.f64 (cosh.f64 x) -2)) (cbrt.f64 (cbrt.f64 (/.f64 1 (cosh.f64 x))))))
(*.f64 (cbrt.f64 (cbrt.f64 (/.f64 1 (cosh.f64 x)))) (pow.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (cosh.f64 x) -2))) 4))
(*.f64 (cbrt.f64 (pow.f64 (cosh.f64 x) -2)) (cbrt.f64 (/.f64 1 (cosh.f64 x))))
(*.f64 (cbrt.f64 (/.f64 1 (cosh.f64 x))) (cbrt.f64 (pow.f64 (cosh.f64 x) -2)))
(.f64 (.f64 (cbrt.f64 (pow.f64 (cosh.f64 x) -2)) 1) (cbrt.f64 (/.f64 1 (cosh.f64 x))))
(*.f64 (cbrt.f64 (/.f64 1 (cosh.f64 x))) (cbrt.f64 (pow.f64 (cosh.f64 x) -2)))
(.f64 (.f64 (cbrt.f64 (pow.f64 (cosh.f64 x) -2)) (pow.f64 (cosh.f64 x) -1/6)) (pow.f64 (cosh.f64 x) -1/6))
(.f64 (cbrt.f64 (pow.f64 (cosh.f64 x) -2)) (.f64 (pow.f64 (cosh.f64 x) -1/6) (pow.f64 (cosh.f64 x) -1/6)))
(*.f64 (cbrt.f64 (pow.f64 (cosh.f64 x) -2)) (pow.f64 (exp.f64 -1/3) (log.f64 (cosh.f64 x))))
(*.f64 (cbrt.f64 (pow.f64 (cosh.f64 x) -2)) (pow.f64 (pow.f64 (cosh.f64 x) -1/12) 4))
(.f64 (.f64 (cbrt.f64 (pow.f64 (cosh.f64 x) -2)) (cbrt.f64 (cbrt.f64 (pow.f64 (cosh.f64 x) -2)))) (cbrt.f64 (cbrt.f64 (/.f64 1 (cosh.f64 x)))))
(.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (cosh.f64 x) -2))) (.f64 (cbrt.f64 (pow.f64 (cosh.f64 x) -2)) (cbrt.f64 (cbrt.f64 (/.f64 1 (cosh.f64 x))))))
(*.f64 (cbrt.f64 (cbrt.f64 (/.f64 1 (cosh.f64 x)))) (pow.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (cosh.f64 x) -2))) 4))
(*.f64 (pow.f64 (pow.f64 (cosh.f64 x) -1/6) 3) (pow.f64 (pow.f64 (cosh.f64 x) -1/6) 3))
(pow.f64 (pow.f64 (cosh.f64 x) -1/6) 6)
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (cosh.f64 x) -2))) 3) (cbrt.f64 (/.f64 1 (cosh.f64 x))))
(*.f64 (cbrt.f64 (/.f64 1 (cosh.f64 x))) (cbrt.f64 (pow.f64 (cosh.f64 x) -2)))
(*.f64 (pow.f64 (sqrt.f64 (cosh.f64 x)) -1) (pow.f64 (sqrt.f64 (cosh.f64 x)) -1))
(pow.f64 (sqrt.f64 (cosh.f64 x)) -2)
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cosh.f64 x)) 2) -1) (pow.f64 (cbrt.f64 (cosh.f64 x)) -1))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (cosh.f64 x)) 2)) (/.f64 1 (cbrt.f64 (cosh.f64 x))))
(/.f64 (/.f64 1 (pow.f64 (cbrt.f64 (cosh.f64 x)) 2)) (cbrt.f64 (cosh.f64 x)))
(/.f64 (pow.f64 (cbrt.f64 (cosh.f64 x)) -2) (cbrt.f64 (cosh.f64 x)))
(/.f64 1 (cosh.f64 x))
(sqrt.f64 (pow.f64 (cosh.f64 x) -2))
(/.f64 1 (cosh.f64 x))
(log.f64 (exp.f64 (/.f64 1 (cosh.f64 x))))
(/.f64 1 (cosh.f64 x))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (cosh.f64 x)))))
(/.f64 1 (cosh.f64 x))
(cbrt.f64 (pow.f64 (/.f64 1 (cosh.f64 x)) 3))
(/.f64 1 (cosh.f64 x))
(expm1.f64 (log1p.f64 (/.f64 1 (cosh.f64 x))))
(/.f64 1 (cosh.f64 x))
(exp.f64 (*.f64 -1 (log.f64 (cosh.f64 x))))
(/.f64 1 (cosh.f64 x))
(exp.f64 (*.f64 (log.f64 (cosh.f64 x)) -1))
(/.f64 1 (cosh.f64 x))
(exp.f64 (.f64 (.f64 -1 (log.f64 (cosh.f64 x))) 1))
(/.f64 1 (cosh.f64 x))
(log1p.f64 (expm1.f64 (/.f64 1 (cosh.f64 x))))
(/.f64 1 (cosh.f64 x))
(-.f64 (exp.f64 (log1p.f64 (cbrt.f64 (/.f64 1 (cosh.f64 x))))) 1)
(cbrt.f64 (/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))))
(cbrt.f64 (/.f64 1 (cosh.f64 x)))
(*.f64 (cbrt.f64 (/.f64 1 (cosh.f64 x))) 1)
(cbrt.f64 (/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))))
(cbrt.f64 (/.f64 1 (cosh.f64 x)))
(*.f64 1 (cbrt.f64 (/.f64 1 (cosh.f64 x))))
(cbrt.f64 (/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))))
(cbrt.f64 (/.f64 1 (cosh.f64 x)))
(*.f64 (pow.f64 (cosh.f64 x) -1/6) (pow.f64 (cosh.f64 x) -1/6))
(pow.f64 (exp.f64 -1/3) (log.f64 (cosh.f64 x)))
(pow.f64 (pow.f64 (cosh.f64 x) -1/12) 4)
(*.f64 (cbrt.f64 (cbrt.f64 (/.f64 1 (cosh.f64 x)))) (cbrt.f64 (cbrt.f64 (pow.f64 (cosh.f64 x) -2))))
(*.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (cosh.f64 x) -2))) (cbrt.f64 (cbrt.f64 (/.f64 1 (cosh.f64 x)))))
(*.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (cosh.f64 x) -2))) (cbrt.f64 (cbrt.f64 (/.f64 1 (cosh.f64 x)))))
(*.f64 (pow.f64 1 -1/3) (cbrt.f64 (/.f64 1 (cosh.f64 x))))
(cbrt.f64 (/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))))
(cbrt.f64 (/.f64 1 (cosh.f64 x)))
(*.f64 (pow.f64 (sqrt.f64 (cosh.f64 x)) -1/3) (pow.f64 (sqrt.f64 (cosh.f64 x)) -1/3))
(.f64 (.f64 (pow.f64 (sqrt.f64 (cosh.f64 x)) -1/6) (pow.f64 (sqrt.f64 (cosh.f64 x)) -1/6)) (*.f64 (pow.f64 (sqrt.f64 (cosh.f64 x)) -1/6) (pow.f64 (sqrt.f64 (cosh.f64 x)) -1/6)))
(*.f64 (pow.f64 (sqrt.f64 (cosh.f64 x)) -1/6) (pow.f64 (pow.f64 (sqrt.f64 (cosh.f64 x)) -1/6) 3))
(pow.f64 (pow.f64 (sqrt.f64 (cosh.f64 x)) -1/6) 4)
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cosh.f64 x)) 2) -1/3) (pow.f64 (cbrt.f64 (cosh.f64 x)) -1/3))
(.f64 (.f64 (pow.f64 (pow.f64 (cbrt.f64 (cosh.f64 x)) 2) -1/6) (pow.f64 (pow.f64 (cbrt.f64 (cosh.f64 x)) 2) -1/6)) (*.f64 (pow.f64 (cbrt.f64 (cosh.f64 x)) -1/6) (pow.f64 (cbrt.f64 (cosh.f64 x)) -1/6)))
(.f64 (pow.f64 (pow.f64 (cbrt.f64 (cosh.f64 x)) 2) -1/6) (.f64 (pow.f64 (pow.f64 (cbrt.f64 (cosh.f64 x)) 2) -1/6) (*.f64 (pow.f64 (cbrt.f64 (cosh.f64 x)) -1/6) (pow.f64 (cbrt.f64 (cosh.f64 x)) -1/6))))
(sqrt.f64 (cbrt.f64 (pow.f64 (cosh.f64 x) -2)))
(log.f64 (exp.f64 (cbrt.f64 (/.f64 1 (cosh.f64 x)))))
(cbrt.f64 (/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))))
(cbrt.f64 (/.f64 1 (cosh.f64 x)))
(log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 (/.f64 1 (cosh.f64 x))))))
(cbrt.f64 (/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))))
(cbrt.f64 (/.f64 1 (cosh.f64 x)))
(cbrt.f64 (/.f64 1 (cosh.f64 x)))
(cbrt.f64 (/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))))
(expm1.f64 (log1p.f64 (cbrt.f64 (/.f64 1 (cosh.f64 x)))))
(cbrt.f64 (/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))))
(cbrt.f64 (/.f64 1 (cosh.f64 x)))
(exp.f64 (*.f64 -1/3 (log.f64 (cosh.f64 x))))
(*.f64 (pow.f64 (cosh.f64 x) -1/6) (pow.f64 (cosh.f64 x) -1/6))
(pow.f64 (exp.f64 -1/3) (log.f64 (cosh.f64 x)))
(pow.f64 (pow.f64 (cosh.f64 x) -1/12) 4)
(exp.f64 (.f64 (.f64 -1/3 (log.f64 (cosh.f64 x))) 1))
(*.f64 (pow.f64 (cosh.f64 x) -1/6) (pow.f64 (cosh.f64 x) -1/6))
(pow.f64 (exp.f64 -1/3) (log.f64 (cosh.f64 x)))
(pow.f64 (pow.f64 (cosh.f64 x) -1/12) 4)
(log1p.f64 (expm1.f64 (cbrt.f64 (/.f64 1 (cosh.f64 x)))))
(cbrt.f64 (/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))))
(cbrt.f64 (/.f64 1 (cosh.f64 x)))

eval96.0ms (2%)

Compiler: Compiled 4504 to 3264 computations (27.5% saved)

prune55.0ms (1.1%)

Pruning

10 alts after pruning (1 fresh and 9 done)

	Pruned	Kept	Total
New	398	0	398
Fresh	0	1	1
Picked	0	1	1
Done	0	8	8
Total	398	10	408

Error

Counts

408 → 10

Alt Table

Click to see full alt table

Status	Error	Program
✓	0.0b	(pow.f64 (pow.f64 (cosh.f64 x) -1/3) 3)
✓	48.0b	(/.f64 (/.f64 2 x) x)
✓	17.3b	(/.f64 2 (+.f64 2 (*.f64 x x)))
✓	47.9b	(/.f64 2 (*.f64 x x))
✓	0.0b	(/.f64 1 (cosh.f64 x))
✓	31.7b	(-.f64 (+.f64 1 (/.f64 2 (*.f64 x x))) 1)
✓	32.2b	(+.f64 1 (.f64 (.f64 x x) -1/2))
✓	48.0b	(*.f64 (/.f64 2 x) (/.f64 1 x))
✓	0.0b	(cbrt.f64 (pow.f64 (cosh.f64 x) -3))
	31.7b	1

Compiler

Compiled 66 to 51 computations (22.7% saved)

regimes15.0ms (0.3%)

Counts

15 → 1

Calls

Call 1

Inputs
1
(/.f64 2 (*.f64 x x))
(/.f64 (/.f64 2 x) x)
(*.f64 (/.f64 2 x) (/.f64 1 x))
(+.f64 1 (.f64 (.f64 x x) -1/2))
(/.f64 2 (+.f64 2 (*.f64 x x)))
(-.f64 (+.f64 1 (/.f64 2 (*.f64 x x))) 1)
(/.f64 1 (cosh.f64 x))
(/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(cbrt.f64 (pow.f64 (cosh.f64 x) -3))
(pow.f64 (pow.f64 (cosh.f64 x) -1/3) 3)
(cbrt.f64 (pow.f64 (/.f64 1 (cosh.f64 x)) 3))
(pow.f64 (/.f64 1 (cbrt.f64 (cosh.f64 x))) 3)
(cbrt.f64 (.f64 (.f64 (/.f64 2 (.f64 2 (cosh.f64 x))) (/.f64 2 (.f64 2 (cosh.f64 x)))) (/.f64 2 (*.f64 2 (cosh.f64 x)))))
(.f64 (.f64 (cbrt.f64 (/.f64 2 (.f64 2 (cosh.f64 x)))) (cbrt.f64 (/.f64 2 (.f64 2 (cosh.f64 x))))) (cbrt.f64 (/.f64 2 (*.f64 2 (cosh.f64 x)))))

Outputs
(pow.f64 (pow.f64 (cosh.f64 x) -1/3) 3)

Calls

3 calls:

7.0ms	x
2.0ms	(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
2.0ms	(/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))

Results

Error	Segments	Branch
0.0b	1	`x`
0.0b	1	`(/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))`
0.0b	1	`(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))`

Compiler

Compiled 141 to 98 computations (30.5% saved)

regimes13.0ms (0.3%)

Counts

10 → 1

Calls

Call 1

Inputs
1
(/.f64 2 (*.f64 x x))
(/.f64 (/.f64 2 x) x)
(*.f64 (/.f64 2 x) (/.f64 1 x))
(+.f64 1 (.f64 (.f64 x x) -1/2))
(/.f64 2 (+.f64 2 (*.f64 x x)))
(-.f64 (+.f64 1 (/.f64 2 (*.f64 x x))) 1)
(/.f64 1 (cosh.f64 x))
(/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(cbrt.f64 (pow.f64 (cosh.f64 x) -3))

Outputs
(/.f64 1 (cosh.f64 x))

Calls

3 calls:

6.0ms	x
2.0ms	(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
2.0ms	(/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))

Results

Error	Segments	Branch
0.0b	1	`x`
0.0b	1	`(/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))`
0.0b	1	`(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))`

Compiler

Compiled 77 to 52 computations (32.5% saved)

regimes14.0ms (0.3%)

Counts

7 → 3

Calls

Call 1

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

Outputs
(-.f64 (+.f64 1 (/.f64 2 (*.f64 x x))) 1)
(/.f64 2 (+.f64 2 (*.f64 x x)))
(-.f64 (+.f64 1 (/.f64 2 (*.f64 x x))) 1)

Calls

1 calls:

13.0ms

Results

Error	Segments	Branch
1.0b	3	`x`

Compiler

Compiled 44 to 28 computations (36.4% saved)

bsearch33.0ms (0.7%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
16.0ms	4.4338545521005175	12349001.840177022
16.0ms	-2895987116349464.0	-22664054.011516158

Results

29.0ms

288×

body

256

valid

Compiler

Compiled 373 to 298 computations (20.1% saved)

regimes7.0ms (0.1%)

Counts

6 → 1

Calls

Call 1

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

Outputs
(/.f64 2 (+.f64 2 (*.f64 x x)))

Calls

1 calls:

5.0ms

Results

Error	Segments	Branch
17.3b	1	`x`

Compiler

Compiled 35 to 22 computations (37.1% saved)

regimes12.0ms (0.3%)

Counts

5 → 3

Calls

Call 1

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

Outputs
(/.f64 2 (*.f64 x x))
(+.f64 1 (.f64 (.f64 x x) -1/2))
(/.f64 2 (*.f64 x x))

Calls

1 calls:

11.0ms

Results

Error	Segments	Branch
17.3b	3	`x`

Compiler

Compiled 28 to 18 computations (35.7% saved)

bsearch32.0ms (0.6%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
13.0ms	0.0275042887722034	4.4338545521005175
19.0ms	-47452.68862280842	-1.4915224249199991e-13

Results

28.0ms

272×

body

256

valid

Compiler

Compiled 285 to 214 computations (24.9% saved)

regimes11.0ms (0.2%)

Accuracy

Total -44.8b remaining (-257.7%)

Threshold costs -44.8b (-257.7%)

Counts

4 → 3

Calls

Call 1

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

Outputs
(/.f64 2 (*.f64 x x))
1
(/.f64 2 (*.f64 x x))

Calls

1 calls:

10.0ms

Results

Error	Segments	Branch
17.4b	3	`x`

Compiler

Compiled 21 to 14 computations (33.3% saved)

bsearch31.0ms (0.6%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
12.0ms	0.0275042887722034	4.4338545521005175
18.0ms	-47452.68862280842	-1.4915224249199991e-13

Results

28.0ms

272×

body

256

valid

Compiler

Compiled 183 to 146 computations (20.2% saved)

simplify191.0ms (3.9%)

Algorithm

1×	egg-herbie

Rules

8×	`+-commutative`
6×	`if-if-or-not`
2×	`sub-neg`
2×	`1-exp`
2×	`*-commutative`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	42	4294967491
1	62	4294967491
2	63	4294967491

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(pow.f64 (pow.f64 (cosh.f64 x) -1/3) 3)
(/.f64 1 (cosh.f64 x))
(if (<=.f64 x -135000000) (-.f64 (+.f64 1 (/.f64 2 (.f64 x x))) 1) (if (<=.f64 x 126000) (/.f64 2 (+.f64 2 (.f64 x x))) (-.f64 (+.f64 1 (/.f64 2 (*.f64 x x))) 1)))
(/.f64 2 (+.f64 2 (*.f64 x x)))
(if (<=.f64 x -5/4) (/.f64 2 (.f64 x x)) (if (<=.f64 x 5/4) (+.f64 1 (.f64 (.f64 x x) -1/2)) (/.f64 2 (.f64 x x))))
(if (<=.f64 x -6530219459687219/4503599627370496) (/.f64 2 (.f64 x x)) (if (<=.f64 x 3152519739159347/2251799813685248) 1 (/.f64 2 (.f64 x x))))
1

Outputs
(pow.f64 (pow.f64 (cosh.f64 x) -1/3) 3)
(/.f64 1 (cosh.f64 x))
(if (<=.f64 x -135000000) (-.f64 (+.f64 1 (/.f64 2 (.f64 x x))) 1) (if (<=.f64 x 126000) (/.f64 2 (+.f64 2 (.f64 x x))) (-.f64 (+.f64 1 (/.f64 2 (*.f64 x x))) 1)))
(if (or (<=.f64 x -135000000) (not (<=.f64 x 126000))) (+.f64 (+.f64 1 (/.f64 2 (.f64 x x))) -1) (/.f64 2 (+.f64 2 (.f64 x x))))
(/.f64 2 (+.f64 2 (*.f64 x x)))
(if (<=.f64 x -5/4) (/.f64 2 (.f64 x x)) (if (<=.f64 x 5/4) (+.f64 1 (.f64 (.f64 x x) -1/2)) (/.f64 2 (.f64 x x))))
(if (or (<=.f64 x -5/4) (not (<=.f64 x 5/4))) (/.f64 2 (.f64 x x)) (+.f64 1 (.f64 (*.f64 x x) -1/2)))
(if (<=.f64 x -6530219459687219/4503599627370496) (/.f64 2 (.f64 x x)) (if (<=.f64 x 3152519739159347/2251799813685248) 1 (/.f64 2 (.f64 x x))))
(if (or (<=.f64 x -6530219459687219/4503599627370496) (not (<=.f64 x 3152519739159347/2251799813685248))) (/.f64 2 (*.f64 x x)) 1)
1

Compiler

Compiled 86 to 64 computations (25.6% saved)

soundness0.0ms (0%)

end240.0ms (4.9%)

Compiler: Compiled 80 to 54 computations (32.5% saved)