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)

sample744.0ms (14.9%)

Results

734.0ms

8256×

body

256

valid

Bogosity

preprocess90.0ms (1.8%)

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)

simplify97.0ms (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 (exp.f64 x) (exp.f64 (neg.f64 x)))
✓	0.0b	(/.f64 2 (+.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 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	@	inf	(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))

rewrite76.0ms (1.5%)

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	34
1	216	34
2	3273	34
0	10	17
1	216	17
2	3273	17
0	10	17
0	8	11
1	169	11
2	2616	11
0	8	11

Stop Event

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

Counts

2 → 22

Calls

Call 1

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

Outputs
((#(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)))))))))
((#(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))))))))

Outputs

((#(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)))))))))

((#(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))))))))

simplify57.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

1420×	`associate-r`
1162×	`associate-+r+`
996×	`associate-l`
988×	`associate-+l+`
846×	`associate-/l*`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	96	998
1	227	966
2	902	692
3	5000	692

Stop Event

1×	node limit

Counts

46 → 53

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 (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))))
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)))
(.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)))))
(.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))))

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))
(+.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)))))
(+.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 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))
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 (pow.f64 x 4) 1/12))
(+.f64 2 (fma.f64 (pow.f64 x 4) 1/12 (*.f64 x x)))
(fma.f64 (pow.f64 x 4) 1/12 (fma.f64 x x 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 (pow.f64 x 4) 1/12))))
(+.f64 2 (fma.f64 (pow.f64 x 6) 1/360 (fma.f64 (pow.f64 x 4) 1/12 (*.f64 x x))))
(fma.f64 (pow.f64 x 6) 1/360 (fma.f64 (pow.f64 x 4) 1/12 (fma.f64 x x 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))
(.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))
(.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 (exp.f64 (.f64 3 x)) (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))

eval13.0ms (0.3%)

Compiler: Compiled 654 to 443 computations (32.3% saved)

prune9.0ms (0.2%)

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	48	5	53
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	49	5	54

Error

0.0b

Counts

54 → 5

Alt Table

Click to see full alt table

Status	Error	Program
▶	14.0b	(/.f64 2 (+.f64 2 (*.f64 x x)))
▶	0.0b	(/.f64 1 (cosh.f64 x))
▶	29.0b	(+.f64 1 (fma.f64 -1/2 (.f64 x x) (.f64 5/24 (pow.f64 x 4))))
▶	29.0b	(+.f64 1 (.f64 -1/2 (.f64 x x)))
	28.6b	1

Compiler

Compiled 36 to 28 computations (22.2% saved)

localize6.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

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	@	inf	(+.f64 1 (.f64 -1/2 (.f64 x x)))
0.0ms	x	@	0	(+.f64 1 (.f64 -1/2 (.f64 x x)))
0.0ms	x	@	-inf	(+.f64 1 (.f64 -1/2 (.f64 x x)))

rewrite58.0ms (1.2%)

Algorithm

1×	batch-egg-rewrite

Rules

1564×	`add-sqr-sqrt`
1540×	`*-un-lft-identity`
1444×	`add-cube-cbrt`
1434×	`add-cbrt-cube`
1424×	`add-exp-log`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	8	19
1	165	15
2	2006	15

Stop Event

1×	node limit

Counts

1 → 34

Calls

Call 1

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

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

Outputs

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

simplify78.0ms (1.6%)

Algorithm

1×	egg-herbie

Rules

1240×	`times-frac`
1224×	`associate-/l*`
938×	`associate-r`
736×	`associate-l`
578×	`associate-/r*`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	91	1164
1	210	1040
2	692	1016
3	2958	1016

Stop Event

1×	node limit

Counts

46 → 44

Calls

Call 1

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

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

localize53.0ms (1.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.3b	(*.f64 5/24 (pow.f64 x 4))
✓	11.6b	(fma.f64 -1/2 (.f64 x x) (.f64 5/24 (pow.f64 x 4)))

Compiler

Compiled 39 to 26 computations (33.3% saved)

series1.0ms (0%)

Counts

2 → 12

Calls

6 calls:

Time	Variable		Point	Expression
0.0ms	x	@	inf	(fma.f64 -1/2 (.f64 x x) (.f64 5/24 (pow.f64 x 4)))
0.0ms	x	@	0	(fma.f64 -1/2 (.f64 x x) (.f64 5/24 (pow.f64 x 4)))
0.0ms	x	@	0	(*.f64 5/24 (pow.f64 x 4))
0.0ms	x	@	inf	(*.f64 5/24 (pow.f64 x 4))
0.0ms	x	@	-inf	(fma.f64 -1/2 (.f64 x x) (.f64 5/24 (pow.f64 x 4)))

rewrite116.0ms (2.3%)

Algorithm

1×	batch-egg-rewrite

Rules

1858×	`add-sqr-sqrt`
1828×	`*-un-lft-identity`
1710×	`add-cube-cbrt`
1698×	`add-cbrt-cube`
202×	`add-exp-log`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	40
1	226	40
2	2446	40

Stop Event

1×	node limit

Counts

2 → 36

Calls

Call 1

Inputs
(fma.f64 -1/2 (.f64 x x) (.f64 5/24 (pow.f64 x 4)))
(*.f64 5/24 (pow.f64 x 4))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 5/24 (pow.f64 x 4)) (*.f64 (*.f64 -1/2 x) x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 -1/2 x) x) (*.f64 5/24 (pow.f64 x 4)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 (*.f64 -1/2 x) x) 1) (*.f64 5/24 (pow.f64 x 4)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 -1/2 (*.f64 x x) (*.f64 5/24 (pow.f64 x 4))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 -1/2 (*.f64 x x) (*.f64 5/24 (pow.f64 x 4))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 -1/2 (*.f64 x x) (*.f64 5/24 (pow.f64 x 4))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 -1/2 (*.f64 x x) (*.f64 5/24 (pow.f64 x 4)))) (sqrt.f64 (fma.f64 -1/2 (*.f64 x x) (*.f64 5/24 (pow.f64 x 4)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 -1/2 (*.f64 x x) (*.f64 5/24 (pow.f64 x 4)))) (pow.f64 (cbrt.f64 (fma.f64 -1/2 (*.f64 x x) (*.f64 5/24 (pow.f64 x 4)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 -1/2 (*.f64 x x) (*.f64 5/24 (pow.f64 x 4)))) 2) (cbrt.f64 (fma.f64 -1/2 (*.f64 x x) (*.f64 5/24 (pow.f64 x 4)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (*.f64 (*.f64 -1/2 x) x) (*.f64 (*.f64 -1/2 x) x)) (*.f64 (pow.f64 x 8) 25/576)) (-.f64 (*.f64 (*.f64 -1/2 x) x) (*.f64 5/24 (pow.f64 x 4))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 (*.f64 -1/2 x) x) 3) (pow.f64 (*.f64 5/24 (pow.f64 x 4)) 3)) (+.f64 (*.f64 (*.f64 (*.f64 -1/2 x) x) (*.f64 (*.f64 -1/2 x) x)) (-.f64 (*.f64 (pow.f64 x 8) 25/576) (*.f64 (*.f64 (*.f64 -1/2 x) x) (*.f64 5/24 (pow.f64 x 4))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 -1/2 (*.f64 x x) (*.f64 5/24 (pow.f64 x 4))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 -1/2 (*.f64 x x) (*.f64 5/24 (pow.f64 x 4)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 -1/2 (*.f64 x x) (*.f64 5/24 (pow.f64 x 4)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 -1/2 (*.f64 x x) (*.f64 5/24 (pow.f64 x 4))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 -1/2 (*.f64 x x) (*.f64 5/24 (pow.f64 x 4))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 -1/2 (*.f64 x x) (*.f64 5/24 (pow.f64 x 4)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 -1/2 (*.f64 x x) (*.f64 5/24 (pow.f64 x 4))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 -1/2 (*.f64 x x) (*.f64 5/24 (pow.f64 x 4))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 -1/2 (*.f64 x x) (*.f64 5/24 (pow.f64 x 4)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 -1/2 (*.f64 x x) (*.f64 5/24 (pow.f64 x 4)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (fma.f64 -1/2 (*.f64 x x) (*.f64 5/24 (pow.f64 x 4)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 -1/2 (*.f64 x x) (*.f64 5/24 (pow.f64 x 4)))))))))

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 5/24 (pow.f64 x 4)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 5/24 (pow.f64 x 4)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (*.f64 x x) (sqrt.f64 5/24)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 5/24 (pow.f64 x 4))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 5/24 (pow.f64 x 4)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (pow.f64 x 8) 25/576))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 5/24) (pow.f64 x 4)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 5/24 (pow.f64 x 4)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 5/24 (pow.f64 x 4)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 5/24 (pow.f64 x 4))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 5/24 (pow.f64 x 4))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 5/24 (pow.f64 x 4))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 5/24 (pow.f64 x 4))))))))

simplify88.0ms (1.8%)

Algorithm

1×	egg-herbie

Rules

1248×	`associate-/l*`
722×	`associate-/r*`
648×	`unswap-sqr`
554×	`fma-def`
532×	`+-commutative`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	94	1236
1	230	1190
2	1139	1170
3	4485	1170

Stop Event

1×	node limit

Counts

48 → 48

Calls

Call 1

Inputs
(*.f64 -1/2 (pow.f64 x 2))
(+.f64 (.f64 -1/2 (pow.f64 x 2)) (.f64 5/24 (pow.f64 x 4)))
(+.f64 (.f64 -1/2 (pow.f64 x 2)) (.f64 5/24 (pow.f64 x 4)))
(+.f64 (.f64 -1/2 (pow.f64 x 2)) (.f64 5/24 (pow.f64 x 4)))
(*.f64 5/24 (pow.f64 x 4))
(+.f64 (.f64 -1/2 (pow.f64 x 2)) (.f64 5/24 (pow.f64 x 4)))
(+.f64 (.f64 -1/2 (pow.f64 x 2)) (.f64 5/24 (pow.f64 x 4)))
(+.f64 (.f64 -1/2 (pow.f64 x 2)) (.f64 5/24 (pow.f64 x 4)))
(*.f64 5/24 (pow.f64 x 4))
(+.f64 (.f64 -1/2 (pow.f64 x 2)) (.f64 5/24 (pow.f64 x 4)))
(+.f64 (.f64 -1/2 (pow.f64 x 2)) (.f64 5/24 (pow.f64 x 4)))
(+.f64 (.f64 -1/2 (pow.f64 x 2)) (.f64 5/24 (pow.f64 x 4)))
(+.f64 (.f64 5/24 (pow.f64 x 4)) (.f64 (*.f64 -1/2 x) x))
(+.f64 (.f64 (.f64 -1/2 x) x) (*.f64 5/24 (pow.f64 x 4)))
(+.f64 (.f64 (.f64 (.f64 -1/2 x) x) 1) (.f64 5/24 (pow.f64 x 4)))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 -1/2 (.f64 x x) (.f64 5/24 (pow.f64 x 4))))) 1)
(.f64 (fma.f64 -1/2 (.f64 x x) (*.f64 5/24 (pow.f64 x 4))) 1)
(.f64 1 (fma.f64 -1/2 (.f64 x x) (*.f64 5/24 (pow.f64 x 4))))
(.f64 (sqrt.f64 (fma.f64 -1/2 (.f64 x x) (.f64 5/24 (pow.f64 x 4)))) (sqrt.f64 (fma.f64 -1/2 (.f64 x x) (*.f64 5/24 (pow.f64 x 4)))))
(.f64 (cbrt.f64 (fma.f64 -1/2 (.f64 x x) (.f64 5/24 (pow.f64 x 4)))) (pow.f64 (cbrt.f64 (fma.f64 -1/2 (.f64 x x) (*.f64 5/24 (pow.f64 x 4)))) 2))
(.f64 (pow.f64 (cbrt.f64 (fma.f64 -1/2 (.f64 x x) (.f64 5/24 (pow.f64 x 4)))) 2) (cbrt.f64 (fma.f64 -1/2 (.f64 x x) (*.f64 5/24 (pow.f64 x 4)))))
(/.f64 (-.f64 (.f64 (.f64 (.f64 -1/2 x) x) (.f64 (.f64 -1/2 x) x)) (.f64 (pow.f64 x 8) 25/576)) (-.f64 (.f64 (.f64 -1/2 x) x) (*.f64 5/24 (pow.f64 x 4))))
(/.f64 (+.f64 (pow.f64 (.f64 (.f64 -1/2 x) x) 3) (pow.f64 (.f64 5/24 (pow.f64 x 4)) 3)) (+.f64 (.f64 (.f64 (.f64 -1/2 x) x) (.f64 (.f64 -1/2 x) x)) (-.f64 (.f64 (pow.f64 x 8) 25/576) (.f64 (.f64 (.f64 -1/2 x) x) (*.f64 5/24 (pow.f64 x 4))))))
(pow.f64 (fma.f64 -1/2 (.f64 x x) (.f64 5/24 (pow.f64 x 4))) 1)
(pow.f64 (sqrt.f64 (fma.f64 -1/2 (.f64 x x) (.f64 5/24 (pow.f64 x 4)))) 2)
(pow.f64 (cbrt.f64 (fma.f64 -1/2 (.f64 x x) (.f64 5/24 (pow.f64 x 4)))) 3)
(pow.f64 (pow.f64 (fma.f64 -1/2 (.f64 x x) (.f64 5/24 (pow.f64 x 4))) 3) 1/3)
(sqrt.f64 (pow.f64 (fma.f64 -1/2 (.f64 x x) (.f64 5/24 (pow.f64 x 4))) 2))
(log.f64 (exp.f64 (fma.f64 -1/2 (.f64 x x) (.f64 5/24 (pow.f64 x 4)))))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 -1/2 (.f64 x x) (.f64 5/24 (pow.f64 x 4))))))
(cbrt.f64 (pow.f64 (fma.f64 -1/2 (.f64 x x) (.f64 5/24 (pow.f64 x 4))) 3))
(expm1.f64 (log1p.f64 (fma.f64 -1/2 (.f64 x x) (.f64 5/24 (pow.f64 x 4)))))
(exp.f64 (log.f64 (fma.f64 -1/2 (.f64 x x) (.f64 5/24 (pow.f64 x 4)))))
(exp.f64 (.f64 (log.f64 (fma.f64 -1/2 (.f64 x x) (*.f64 5/24 (pow.f64 x 4)))) 1))
(log1p.f64 (expm1.f64 (fma.f64 -1/2 (.f64 x x) (.f64 5/24 (pow.f64 x 4)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 5/24 (pow.f64 x 4)))) 1)
(pow.f64 (*.f64 5/24 (pow.f64 x 4)) 1)
(pow.f64 (.f64 (.f64 x x) (sqrt.f64 5/24)) 2)
(pow.f64 (cbrt.f64 (*.f64 5/24 (pow.f64 x 4))) 3)
(pow.f64 (pow.f64 (*.f64 5/24 (pow.f64 x 4)) 3) 1/3)
(sqrt.f64 (*.f64 (pow.f64 x 8) 25/576))
(log.f64 (pow.f64 (exp.f64 5/24) (pow.f64 x 4)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 5/24 (pow.f64 x 4)))))
(cbrt.f64 (pow.f64 (*.f64 5/24 (pow.f64 x 4)) 3))
(expm1.f64 (log1p.f64 (*.f64 5/24 (pow.f64 x 4))))
(exp.f64 (log.f64 (*.f64 5/24 (pow.f64 x 4))))
(exp.f64 (.f64 (log.f64 (.f64 5/24 (pow.f64 x 4))) 1))
(log1p.f64 (expm1.f64 (*.f64 5/24 (pow.f64 x 4))))

Outputs
(*.f64 -1/2 (pow.f64 x 2))
(.f64 -1/2 (.f64 x x))
(+.f64 (.f64 -1/2 (pow.f64 x 2)) (.f64 5/24 (pow.f64 x 4)))
(fma.f64 5/24 (pow.f64 x 4) (.f64 -1/2 (.f64 x x)))
(fma.f64 -1/2 (.f64 x x) (.f64 5/24 (pow.f64 x 4)))
(+.f64 (.f64 -1/2 (pow.f64 x 2)) (.f64 5/24 (pow.f64 x 4)))
(fma.f64 5/24 (pow.f64 x 4) (.f64 -1/2 (.f64 x x)))
(fma.f64 -1/2 (.f64 x x) (.f64 5/24 (pow.f64 x 4)))
(+.f64 (.f64 -1/2 (pow.f64 x 2)) (.f64 5/24 (pow.f64 x 4)))
(fma.f64 5/24 (pow.f64 x 4) (.f64 -1/2 (.f64 x x)))
(fma.f64 -1/2 (.f64 x x) (.f64 5/24 (pow.f64 x 4)))
(*.f64 5/24 (pow.f64 x 4))
(+.f64 (.f64 -1/2 (pow.f64 x 2)) (.f64 5/24 (pow.f64 x 4)))
(fma.f64 5/24 (pow.f64 x 4) (.f64 -1/2 (.f64 x x)))
(fma.f64 -1/2 (.f64 x x) (.f64 5/24 (pow.f64 x 4)))
(+.f64 (.f64 -1/2 (pow.f64 x 2)) (.f64 5/24 (pow.f64 x 4)))
(fma.f64 5/24 (pow.f64 x 4) (.f64 -1/2 (.f64 x x)))
(fma.f64 -1/2 (.f64 x x) (.f64 5/24 (pow.f64 x 4)))
(+.f64 (.f64 -1/2 (pow.f64 x 2)) (.f64 5/24 (pow.f64 x 4)))
(fma.f64 5/24 (pow.f64 x 4) (.f64 -1/2 (.f64 x x)))
(fma.f64 -1/2 (.f64 x x) (.f64 5/24 (pow.f64 x 4)))
(*.f64 5/24 (pow.f64 x 4))
(+.f64 (.f64 -1/2 (pow.f64 x 2)) (.f64 5/24 (pow.f64 x 4)))
(fma.f64 5/24 (pow.f64 x 4) (.f64 -1/2 (.f64 x x)))
(fma.f64 -1/2 (.f64 x x) (.f64 5/24 (pow.f64 x 4)))
(+.f64 (.f64 -1/2 (pow.f64 x 2)) (.f64 5/24 (pow.f64 x 4)))
(fma.f64 5/24 (pow.f64 x 4) (.f64 -1/2 (.f64 x x)))
(fma.f64 -1/2 (.f64 x x) (.f64 5/24 (pow.f64 x 4)))
(+.f64 (.f64 -1/2 (pow.f64 x 2)) (.f64 5/24 (pow.f64 x 4)))
(fma.f64 5/24 (pow.f64 x 4) (.f64 -1/2 (.f64 x x)))
(fma.f64 -1/2 (.f64 x x) (.f64 5/24 (pow.f64 x 4)))
(+.f64 (.f64 5/24 (pow.f64 x 4)) (.f64 (*.f64 -1/2 x) x))
(fma.f64 5/24 (pow.f64 x 4) (.f64 -1/2 (.f64 x x)))
(fma.f64 -1/2 (.f64 x x) (.f64 5/24 (pow.f64 x 4)))
(+.f64 (.f64 (.f64 -1/2 x) x) (*.f64 5/24 (pow.f64 x 4)))
(fma.f64 5/24 (pow.f64 x 4) (.f64 -1/2 (.f64 x x)))
(fma.f64 -1/2 (.f64 x x) (.f64 5/24 (pow.f64 x 4)))
(+.f64 (.f64 (.f64 (.f64 -1/2 x) x) 1) (.f64 5/24 (pow.f64 x 4)))
(fma.f64 5/24 (pow.f64 x 4) (.f64 -1/2 (.f64 x x)))
(fma.f64 -1/2 (.f64 x x) (.f64 5/24 (pow.f64 x 4)))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 -1/2 (.f64 x x) (.f64 5/24 (pow.f64 x 4))))) 1)
(fma.f64 5/24 (pow.f64 x 4) (.f64 -1/2 (.f64 x x)))
(fma.f64 -1/2 (.f64 x x) (.f64 5/24 (pow.f64 x 4)))
(.f64 (fma.f64 -1/2 (.f64 x x) (*.f64 5/24 (pow.f64 x 4))) 1)
(fma.f64 5/24 (pow.f64 x 4) (.f64 -1/2 (.f64 x x)))
(fma.f64 -1/2 (.f64 x x) (.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 5/24 (pow.f64 x 4) (.f64 -1/2 (.f64 x x)))
(fma.f64 -1/2 (.f64 x x) (.f64 5/24 (pow.f64 x 4)))
(.f64 (sqrt.f64 (fma.f64 -1/2 (.f64 x x) (.f64 5/24 (pow.f64 x 4)))) (sqrt.f64 (fma.f64 -1/2 (.f64 x x) (*.f64 5/24 (pow.f64 x 4)))))
(fma.f64 5/24 (pow.f64 x 4) (.f64 -1/2 (.f64 x x)))
(fma.f64 -1/2 (.f64 x x) (.f64 5/24 (pow.f64 x 4)))
(.f64 (cbrt.f64 (fma.f64 -1/2 (.f64 x x) (.f64 5/24 (pow.f64 x 4)))) (pow.f64 (cbrt.f64 (fma.f64 -1/2 (.f64 x x) (*.f64 5/24 (pow.f64 x 4)))) 2))
(fma.f64 5/24 (pow.f64 x 4) (.f64 -1/2 (.f64 x x)))
(fma.f64 -1/2 (.f64 x x) (.f64 5/24 (pow.f64 x 4)))
(.f64 (pow.f64 (cbrt.f64 (fma.f64 -1/2 (.f64 x x) (.f64 5/24 (pow.f64 x 4)))) 2) (cbrt.f64 (fma.f64 -1/2 (.f64 x x) (*.f64 5/24 (pow.f64 x 4)))))
(fma.f64 5/24 (pow.f64 x 4) (.f64 -1/2 (.f64 x x)))
(fma.f64 -1/2 (.f64 x x) (.f64 5/24 (pow.f64 x 4)))
(/.f64 (-.f64 (.f64 (.f64 (.f64 -1/2 x) x) (.f64 (.f64 -1/2 x) x)) (.f64 (pow.f64 x 8) 25/576)) (-.f64 (.f64 (.f64 -1/2 x) x) (*.f64 5/24 (pow.f64 x 4))))
(/.f64 (fma.f64 (.f64 -1/2 (.f64 x x)) (.f64 -1/2 (.f64 x x)) (neg.f64 (.f64 (pow.f64 x 8) 25/576))) (+.f64 (.f64 -1/2 (.f64 x x)) (.f64 -5/24 (pow.f64 x 4))))
(/.f64 (+.f64 (.f64 (pow.f64 x 4) 1/4) (.f64 (pow.f64 x 8) -25/576)) (fma.f64 -1/2 (.f64 x x) (.f64 (pow.f64 x 4) -5/24)))
(/.f64 (fma.f64 (pow.f64 x 4) 1/4 (.f64 (pow.f64 x 8) -25/576)) (fma.f64 -1/2 (.f64 x x) (*.f64 (pow.f64 x 4) -5/24)))
(/.f64 (+.f64 (pow.f64 (.f64 (.f64 -1/2 x) x) 3) (pow.f64 (.f64 5/24 (pow.f64 x 4)) 3)) (+.f64 (.f64 (.f64 (.f64 -1/2 x) x) (.f64 (.f64 -1/2 x) x)) (-.f64 (.f64 (pow.f64 x 8) 25/576) (.f64 (.f64 (.f64 -1/2 x) x) (*.f64 5/24 (pow.f64 x 4))))))
(/.f64 (+.f64 (pow.f64 (.f64 -1/2 (.f64 x x)) 3) (.f64 125/13824 (pow.f64 (pow.f64 x 4) 3))) (fma.f64 (.f64 -1/2 (.f64 x x)) (.f64 -1/2 (.f64 x x)) (-.f64 (.f64 (pow.f64 x 8) 25/576) (.f64 (.f64 5/24 (pow.f64 x 4)) (.f64 -1/2 (.f64 x x))))))
(/.f64 (fma.f64 125/13824 (pow.f64 (pow.f64 x 4) 3) (.f64 -1/8 (pow.f64 (.f64 x x) 3))) (-.f64 (+.f64 (.f64 (pow.f64 x 4) 1/4) (.f64 (pow.f64 x 8) 25/576)) (.f64 (pow.f64 x 4) (.f64 (*.f64 x x) -5/48))))
(/.f64 (fma.f64 125/13824 (pow.f64 (pow.f64 x 4) 3) (.f64 (pow.f64 (.f64 x x) 3) -1/8)) (fma.f64 (pow.f64 x 8) 25/576 (.f64 (pow.f64 x 4) (+.f64 (.f64 (*.f64 x x) 5/48) 1/4))))
(pow.f64 (fma.f64 -1/2 (.f64 x x) (.f64 5/24 (pow.f64 x 4))) 1)
(fma.f64 5/24 (pow.f64 x 4) (.f64 -1/2 (.f64 x x)))
(fma.f64 -1/2 (.f64 x x) (.f64 5/24 (pow.f64 x 4)))
(pow.f64 (sqrt.f64 (fma.f64 -1/2 (.f64 x x) (.f64 5/24 (pow.f64 x 4)))) 2)
(fma.f64 5/24 (pow.f64 x 4) (.f64 -1/2 (.f64 x x)))
(fma.f64 -1/2 (.f64 x x) (.f64 5/24 (pow.f64 x 4)))
(pow.f64 (cbrt.f64 (fma.f64 -1/2 (.f64 x x) (.f64 5/24 (pow.f64 x 4)))) 3)
(fma.f64 5/24 (pow.f64 x 4) (.f64 -1/2 (.f64 x x)))
(fma.f64 -1/2 (.f64 x x) (.f64 5/24 (pow.f64 x 4)))
(pow.f64 (pow.f64 (fma.f64 -1/2 (.f64 x x) (.f64 5/24 (pow.f64 x 4))) 3) 1/3)
(fma.f64 5/24 (pow.f64 x 4) (.f64 -1/2 (.f64 x x)))
(fma.f64 -1/2 (.f64 x x) (.f64 5/24 (pow.f64 x 4)))
(sqrt.f64 (pow.f64 (fma.f64 -1/2 (.f64 x x) (.f64 5/24 (pow.f64 x 4))) 2))
(fma.f64 5/24 (pow.f64 x 4) (.f64 -1/2 (.f64 x x)))
(fma.f64 -1/2 (.f64 x x) (.f64 5/24 (pow.f64 x 4)))
(log.f64 (exp.f64 (fma.f64 -1/2 (.f64 x x) (.f64 5/24 (pow.f64 x 4)))))
(fma.f64 5/24 (pow.f64 x 4) (.f64 -1/2 (.f64 x x)))
(fma.f64 -1/2 (.f64 x x) (.f64 5/24 (pow.f64 x 4)))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 -1/2 (.f64 x x) (.f64 5/24 (pow.f64 x 4))))))
(fma.f64 5/24 (pow.f64 x 4) (.f64 -1/2 (.f64 x x)))
(fma.f64 -1/2 (.f64 x x) (.f64 5/24 (pow.f64 x 4)))
(cbrt.f64 (pow.f64 (fma.f64 -1/2 (.f64 x x) (.f64 5/24 (pow.f64 x 4))) 3))
(fma.f64 5/24 (pow.f64 x 4) (.f64 -1/2 (.f64 x x)))
(fma.f64 -1/2 (.f64 x x) (.f64 5/24 (pow.f64 x 4)))
(expm1.f64 (log1p.f64 (fma.f64 -1/2 (.f64 x x) (.f64 5/24 (pow.f64 x 4)))))
(fma.f64 5/24 (pow.f64 x 4) (.f64 -1/2 (.f64 x x)))
(fma.f64 -1/2 (.f64 x x) (.f64 5/24 (pow.f64 x 4)))
(exp.f64 (log.f64 (fma.f64 -1/2 (.f64 x x) (.f64 5/24 (pow.f64 x 4)))))
(fma.f64 5/24 (pow.f64 x 4) (.f64 -1/2 (.f64 x x)))
(fma.f64 -1/2 (.f64 x x) (.f64 5/24 (pow.f64 x 4)))
(exp.f64 (.f64 (log.f64 (fma.f64 -1/2 (.f64 x x) (*.f64 5/24 (pow.f64 x 4)))) 1))
(fma.f64 5/24 (pow.f64 x 4) (.f64 -1/2 (.f64 x x)))
(fma.f64 -1/2 (.f64 x x) (.f64 5/24 (pow.f64 x 4)))
(log1p.f64 (expm1.f64 (fma.f64 -1/2 (.f64 x x) (.f64 5/24 (pow.f64 x 4)))))
(fma.f64 5/24 (pow.f64 x 4) (.f64 -1/2 (.f64 x x)))
(fma.f64 -1/2 (.f64 x x) (.f64 5/24 (pow.f64 x 4)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 5/24 (pow.f64 x 4)))) 1)
(*.f64 5/24 (pow.f64 x 4))
(pow.f64 (*.f64 5/24 (pow.f64 x 4)) 1)
(*.f64 5/24 (pow.f64 x 4))
(pow.f64 (.f64 (.f64 x x) (sqrt.f64 5/24)) 2)
(*.f64 5/24 (pow.f64 x 4))
(pow.f64 (cbrt.f64 (*.f64 5/24 (pow.f64 x 4))) 3)
(*.f64 5/24 (pow.f64 x 4))
(pow.f64 (pow.f64 (*.f64 5/24 (pow.f64 x 4)) 3) 1/3)
(*.f64 5/24 (pow.f64 x 4))
(sqrt.f64 (*.f64 (pow.f64 x 8) 25/576))
(log.f64 (pow.f64 (exp.f64 5/24) (pow.f64 x 4)))
(*.f64 5/24 (pow.f64 x 4))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 5/24 (pow.f64 x 4)))))
(*.f64 5/24 (pow.f64 x 4))
(cbrt.f64 (pow.f64 (*.f64 5/24 (pow.f64 x 4)) 3))
(*.f64 5/24 (pow.f64 x 4))
(expm1.f64 (log1p.f64 (*.f64 5/24 (pow.f64 x 4))))
(*.f64 5/24 (pow.f64 x 4))
(exp.f64 (log.f64 (*.f64 5/24 (pow.f64 x 4))))
(*.f64 5/24 (pow.f64 x 4))
(exp.f64 (.f64 (log.f64 (.f64 5/24 (pow.f64 x 4))) 1))
(*.f64 5/24 (pow.f64 x 4))
(log1p.f64 (expm1.f64 (*.f64 5/24 (pow.f64 x 4))))
(*.f64 5/24 (pow.f64 x 4))

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))
1.0ms	x	@	0	(/.f64 1 (cosh.f64 x))
0.0ms	x	@	0	(cosh.f64 x)
0.0ms	x	@	inf	(cosh.f64 x)

rewrite56.0ms (1.1%)

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)))))))

simplify69.0ms (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 2 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 2 (*.f64 x x))
✓	0.7b	(/.f64 2 (+.f64 2 (*.f64 x x)))

Compiler

Compiled 18 to 9 computations (50% saved)

series1.0ms (0%)

Counts

2 → 24

Calls

6 calls:

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

rewrite87.0ms (1.7%)

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	32
1	157	24
2	2039	24

Stop Event

1×	node limit

Counts

2 → 56

Calls

Call 1

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

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

simplify76.0ms (1.5%)

Algorithm

1×	egg-herbie

Rules

794×	`associate-/r*`
672×	`unswap-sqr`
632×	`associate-+l-`
610×	`associate-+r-`
532×	`+-commutative`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	158	1594
1	365	1536
2	1549	1504
3	6213	1504

Stop Event

1×	node limit

Counts

80 → 94

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

eval196.0ms (3.9%)

Compiler: Compiled 3302 to 2365 computations (28.4% saved)

prune35.0ms (0.7%)

Pruning

7 alts after pruning (4 fresh and 3 done)

	Pruned	Kept	Total
New	262	3	265
Fresh	0	1	1
Picked	0	1	1
Done	1	2	3
Total	263	7	270

Error

0.0b

Counts

270 → 7

Alt Table

Click to see full alt table

Status	Error	Program
✓	14.0b	(/.f64 2 (+.f64 2 (*.f64 x x)))
▶	47.7b	(/.f64 2 (*.f64 x x))
✓	0.0b	(/.f64 1 (cosh.f64 x))
▶	29.0b	(+.f64 1 (+.f64 (.f64 (.f64 -1/2 x) x) (*.f64 5/24 (pow.f64 x 4))))
✓	29.0b	(+.f64 1 (.f64 -1/2 (.f64 x x)))
▶	0.0b	(*.f64 (cbrt.f64 (pow.f64 (cosh.f64 x) -2)) (cbrt.f64 (/.f64 1 (cosh.f64 x))))
	28.6b	1

Compiler

Compiled 55 to 42 computations (23.6% saved)

localize16.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(cbrt.f64 (/.f64 1 (cosh.f64 x)))
✓	0.0b	(*.f64 (cbrt.f64 (pow.f64 (cosh.f64 x) -2)) (cbrt.f64 (/.f64 1 (cosh.f64 x))))
✓	0.0b	(pow.f64 (cosh.f64 x) -2)
	0.0b	(/.f64 1 (cosh.f64 x))

Compiler

Compiled 35 to 21 computations (40% saved)

series9.0ms (0.2%)

Counts

3 → 36

Calls

9 calls:

Time	Variable		Point	Expression
3.0ms	x	@	-inf	(cbrt.f64 (/.f64 1 (cosh.f64 x)))
2.0ms	x	@	inf	(*.f64 (cbrt.f64 (pow.f64 (cosh.f64 x) -2)) (cbrt.f64 (/.f64 1 (cosh.f64 x))))
1.0ms	x	@	inf	(cbrt.f64 (/.f64 1 (cosh.f64 x)))
1.0ms	x	@	0	(*.f64 (cbrt.f64 (pow.f64 (cosh.f64 x) -2)) (cbrt.f64 (/.f64 1 (cosh.f64 x))))
1.0ms	x	@	inf	(pow.f64 (cosh.f64 x) -2)

rewrite88.0ms (1.8%)

Algorithm

1×	batch-egg-rewrite

Rules

1820×	`add-sqr-sqrt`
1784×	`*-un-lft-identity`
1670×	`add-cube-cbrt`
1652×	`add-cbrt-cube`
198×	`pow1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	37
1	242	37
2	2509	37

Stop Event

1×	node limit

Counts

3 → 82

Calls

Call 1

Inputs
(pow.f64 (cosh.f64 x) -2)
(*.f64 (cbrt.f64 (pow.f64 (cosh.f64 x) -2)) (cbrt.f64 (/.f64 1 (cosh.f64 x))))
(cbrt.f64 (/.f64 1 (cosh.f64 x)))

Outputs

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

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

simplify101.0ms (2%)

Algorithm

1×	egg-herbie

Rules

1110×	`unswap-sqr`
770×	`associate-+r+`
678×	`associate-*r/`
590×	`+-commutative`
564×	`associate-/l*`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	212	2726
1	476	2672
2	1476	2296
3	6659	2296

Stop Event

1×	node limit

Counts

118 → 130

Calls

Call 1

Inputs
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)))
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 (pow.f64 (cosh.f64 x) -2))) 1)
(*.f64 (pow.f64 (cosh.f64 x) -2) 1)
(*.f64 (cbrt.f64 (pow.f64 (cosh.f64 x) -2)) (cbrt.f64 (pow.f64 (cosh.f64 x) -4)))
(*.f64 1 (pow.f64 (cosh.f64 x) -2))
(*.f64 (/.f64 1 (cosh.f64 x)) (/.f64 1 (cosh.f64 x)))
(.f64 (/.f64 1 (cbrt.f64 (cosh.f64 x))) (.f64 (cbrt.f64 (pow.f64 (cosh.f64 x) -2)) (/.f64 1 (cosh.f64 x))))
(.f64 (pow.f64 (cosh.f64 x) -1/2) (.f64 (pow.f64 (cosh.f64 x) -1/2) (/.f64 1 (cosh.f64 x))))
(*.f64 (cbrt.f64 (pow.f64 (cosh.f64 x) -4)) (cbrt.f64 (pow.f64 (cosh.f64 x) -2)))
(.f64 (.f64 (/.f64 1 (cosh.f64 x)) (pow.f64 (cosh.f64 x) -1/2)) (pow.f64 (cosh.f64 x) -1/2))
(.f64 (.f64 (/.f64 1 (cosh.f64 x)) (cbrt.f64 (pow.f64 (cosh.f64 x) -2))) (/.f64 1 (cbrt.f64 (cosh.f64 x))))
(.f64 (.f64 (cbrt.f64 (pow.f64 (cosh.f64 x) -4)) 1) (cbrt.f64 (pow.f64 (cosh.f64 x) -2)))
(.f64 (.f64 (cbrt.f64 (pow.f64 (cosh.f64 x) -4)) (/.f64 1 (cbrt.f64 (cosh.f64 x)))) (/.f64 1 (cbrt.f64 (cosh.f64 x))))
(.f64 (.f64 (cbrt.f64 (pow.f64 (cosh.f64 x) -4)) (cbrt.f64 (cbrt.f64 (pow.f64 (cosh.f64 x) -4)))) (cbrt.f64 (cbrt.f64 (pow.f64 (cosh.f64 x) -2))))
(*.f64 (pow.f64 (sqrt.f64 (cosh.f64 x)) -2) (pow.f64 (sqrt.f64 (cosh.f64 x)) -2))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cosh.f64 x)) 2) -2) (pow.f64 (cbrt.f64 (cosh.f64 x)) -2))
(/.f64 1 (pow.f64 (cosh.f64 x) 2))
(/.f64 1 (*.f64 (neg.f64 (cosh.f64 x)) (neg.f64 (cosh.f64 x))))
(/.f64 (/.f64 1 (cosh.f64 x)) (cosh.f64 x))
(/.f64 -1 (*.f64 (cosh.f64 x) (neg.f64 (cosh.f64 x))))
(/.f64 -1 (*.f64 (neg.f64 (cosh.f64 x)) (cosh.f64 x)))
(/.f64 (*.f64 (/.f64 1 (cosh.f64 x)) -1) (neg.f64 (cosh.f64 x)))
(/.f64 (*.f64 -1 (/.f64 1 (cosh.f64 x))) (neg.f64 (cosh.f64 x)))
(sqrt.f64 (pow.f64 (cosh.f64 x) -4))
(log.f64 (exp.f64 (pow.f64 (cosh.f64 x) -2)))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (cosh.f64 x) -2))))
(cbrt.f64 (pow.f64 (pow.f64 (cosh.f64 x) -2) 3))
(expm1.f64 (log1p.f64 (pow.f64 (cosh.f64 x) -2)))
(exp.f64 (*.f64 -2 (log.f64 (cosh.f64 x))))
(exp.f64 (.f64 (.f64 -2 (log.f64 (cosh.f64 x))) 1))
(log1p.f64 (expm1.f64 (pow.f64 (cosh.f64 x) -2)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 1 (cosh.f64 x)))) 1)
(/.f64 (cbrt.f64 (pow.f64 (cosh.f64 x) -2)) (cbrt.f64 (cosh.f64 x)))
(/.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)))
(pow.f64 (cosh.f64 x) -1)
(pow.f64 (pow.f64 (cosh.f64 x) -2) 1/2)
(pow.f64 (/.f64 1 (cosh.f64 x)) 1)
(pow.f64 (/.f64 1 (cbrt.f64 (cosh.f64 x))) 3)
(pow.f64 (pow.f64 (cosh.f64 x) -1/2) 2)
(pow.f64 (pow.f64 (cosh.f64 x) -3) 1/3)
(sqrt.f64 (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)))))
(cbrt.f64 (pow.f64 (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 (log.f64 (cosh.f64 x)) -1))
(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 (/.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 (cbrt.f64 (pow.f64 (cosh.f64 x) -1/2)) (cbrt.f64 (pow.f64 (cosh.f64 x) -1/2)))
(*.f64 (/.f64 1 (cbrt.f64 (cbrt.f64 (cosh.f64 x)))) (cbrt.f64 (cbrt.f64 (pow.f64 (cosh.f64 x) -2))))
(*.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (cosh.f64 x) -2))) (/.f64 1 (cbrt.f64 (cbrt.f64 (cosh.f64 x)))))
(*.f64 (sqrt.f64 (cbrt.f64 (cbrt.f64 (pow.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 (pow.f64 (pow.f64 (cosh.f64 x) -1/2) 1/3) (pow.f64 (pow.f64 (cosh.f64 x) -1/2) 1/3))
(/.f64 1 (cbrt.f64 (cosh.f64 x)))
(/.f64 1 (/.f64 (cbrt.f64 (cosh.f64 x)) 1))
(/.f64 -1 (cbrt.f64 (neg.f64 (cosh.f64 x))))
(/.f64 -1 (neg.f64 (cbrt.f64 (cosh.f64 x))))
(pow.f64 (cosh.f64 x) -1/3)
(pow.f64 (pow.f64 (cosh.f64 x) -2) 1/6)
(pow.f64 (cbrt.f64 (pow.f64 (cosh.f64 x) -2)) 1/2)
(pow.f64 (/.f64 1 (cosh.f64 x)) 1/3)
(pow.f64 (/.f64 1 (cbrt.f64 (cosh.f64 x))) 1)
(pow.f64 (cbrt.f64 (pow.f64 (cosh.f64 x) -1/2)) 2)
(pow.f64 (/.f64 1 (cbrt.f64 (cbrt.f64 (cosh.f64 x)))) 3)
(pow.f64 (cbrt.f64 (cosh.f64 x)) -1)
(sqrt.f64 (cbrt.f64 (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 (neg.f64 (log.f64 (cbrt.f64 (cosh.f64 x)))))
(exp.f64 (*.f64 (neg.f64 (log.f64 (cosh.f64 x))) 1/3))
(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 (pow.f64 x 2)))
(+.f64 1 (neg.f64 (*.f64 x x)))
(-.f64 1 (*.f64 x x))
(+.f64 (.f64 2/3 (pow.f64 x 4)) (+.f64 1 (.f64 -1 (pow.f64 x 2))))
(fma.f64 2/3 (pow.f64 x 4) (+.f64 1 (neg.f64 (*.f64 x x))))
(fma.f64 2/3 (pow.f64 x 4) (-.f64 1 (*.f64 x x)))
(+.f64 (.f64 2/3 (pow.f64 x 4)) (+.f64 1 (+.f64 (.f64 -1 (pow.f64 x 2)) (*.f64 -17/45 (pow.f64 x 6)))))
(fma.f64 2/3 (pow.f64 x 4) (+.f64 1 (fma.f64 -1 (.f64 x x) (.f64 -17/45 (pow.f64 x 6)))))
(+.f64 (fma.f64 2/3 (pow.f64 x 4) (-.f64 1 (.f64 x x))) (.f64 -17/45 (pow.f64 x 6)))
(fma.f64 2/3 (pow.f64 x 4) (-.f64 (fma.f64 -17/45 (pow.f64 x 6) 1) (*.f64 x x)))
(/.f64 4 (pow.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) 2))
(/.f64 4 (pow.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) 2))
(/.f64 4 (pow.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) 2))
(/.f64 4 (pow.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) 2))
(/.f64 4 (pow.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) 2))
(/.f64 4 (pow.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) 2))
(/.f64 4 (pow.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) 2))
(/.f64 4 (pow.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) 2))
(/.f64 4 (pow.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) 2))
(/.f64 4 (pow.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) 2))
(/.f64 4 (pow.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) 2))
(/.f64 4 (pow.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) 2))
(/.f64 4 (pow.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) 2))
(/.f64 4 (pow.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) 2))
(/.f64 4 (pow.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) 2))
(/.f64 4 (pow.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) 2))
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 (fma.f64 x (.f64 x -1/2) 1) (fma.f64 (pow.f64 x 4) 5/24 (.f64 (pow.f64 x 6) -61/720)))
(/.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 (fma.f64 (.f64 x x) -1/6 1) (.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 (fma.f64 (.f64 x x) -1/6 1) (fma.f64 (pow.f64 x 4) 1/24 (.f64 (pow.f64 x 6) -83/6480)))
(fma.f64 x (.f64 x -1/6) (+.f64 1 (fma.f64 (pow.f64 x 4) 1/24 (.f64 (pow.f64 x 6) -83/6480))))
(*.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 (pow.f64 (cosh.f64 x) -2))) 1)
(pow.f64 (cosh.f64 x) -2)
(*.f64 (pow.f64 (cosh.f64 x) -2) 1)
(pow.f64 (cosh.f64 x) -2)
(*.f64 (cbrt.f64 (pow.f64 (cosh.f64 x) -2)) (cbrt.f64 (pow.f64 (cosh.f64 x) -4)))
(*.f64 1 (pow.f64 (cosh.f64 x) -2))
(pow.f64 (cosh.f64 x) -2)
(*.f64 (/.f64 1 (cosh.f64 x)) (/.f64 1 (cosh.f64 x)))
(pow.f64 (cosh.f64 x) -2)
(.f64 (/.f64 1 (cbrt.f64 (cosh.f64 x))) (.f64 (cbrt.f64 (pow.f64 (cosh.f64 x) -2)) (/.f64 1 (cosh.f64 x))))
(.f64 (/.f64 1 (cosh.f64 x)) (.f64 (cbrt.f64 (pow.f64 (cosh.f64 x) -2)) (/.f64 1 (cbrt.f64 (cosh.f64 x)))))
(/.f64 (/.f64 (cbrt.f64 (pow.f64 (cosh.f64 x) -2)) (cbrt.f64 (cosh.f64 x))) (cosh.f64 x))
(.f64 (pow.f64 (cosh.f64 x) -1/2) (.f64 (pow.f64 (cosh.f64 x) -1/2) (/.f64 1 (cosh.f64 x))))
(pow.f64 (cosh.f64 x) -2)
(*.f64 (cbrt.f64 (pow.f64 (cosh.f64 x) -4)) (cbrt.f64 (pow.f64 (cosh.f64 x) -2)))
(*.f64 (cbrt.f64 (pow.f64 (cosh.f64 x) -2)) (cbrt.f64 (pow.f64 (cosh.f64 x) -4)))
(.f64 (.f64 (/.f64 1 (cosh.f64 x)) (pow.f64 (cosh.f64 x) -1/2)) (pow.f64 (cosh.f64 x) -1/2))
(pow.f64 (cosh.f64 x) -2)
(.f64 (.f64 (/.f64 1 (cosh.f64 x)) (cbrt.f64 (pow.f64 (cosh.f64 x) -2))) (/.f64 1 (cbrt.f64 (cosh.f64 x))))
(.f64 (/.f64 1 (cosh.f64 x)) (.f64 (cbrt.f64 (pow.f64 (cosh.f64 x) -2)) (/.f64 1 (cbrt.f64 (cosh.f64 x)))))
(/.f64 (/.f64 (cbrt.f64 (pow.f64 (cosh.f64 x) -2)) (cbrt.f64 (cosh.f64 x))) (cosh.f64 x))
(.f64 (.f64 (cbrt.f64 (pow.f64 (cosh.f64 x) -4)) 1) (cbrt.f64 (pow.f64 (cosh.f64 x) -2)))
(*.f64 (cbrt.f64 (pow.f64 (cosh.f64 x) -2)) (cbrt.f64 (pow.f64 (cosh.f64 x) -4)))
(.f64 (.f64 (cbrt.f64 (pow.f64 (cosh.f64 x) -4)) (/.f64 1 (cbrt.f64 (cosh.f64 x)))) (/.f64 1 (cbrt.f64 (cosh.f64 x))))
(*.f64 (cbrt.f64 (pow.f64 (cosh.f64 x) -4)) (pow.f64 (cbrt.f64 (cosh.f64 x)) -2))
(.f64 (.f64 (cbrt.f64 (pow.f64 (cosh.f64 x) -4)) (cbrt.f64 (cbrt.f64 (pow.f64 (cosh.f64 x) -4)))) (cbrt.f64 (cbrt.f64 (pow.f64 (cosh.f64 x) -2))))
(.f64 (cbrt.f64 (pow.f64 (cosh.f64 x) -4)) (.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (cosh.f64 x) -4))) (cbrt.f64 (cbrt.f64 (pow.f64 (cosh.f64 x) -2)))))
(*.f64 (pow.f64 (sqrt.f64 (cosh.f64 x)) -2) (pow.f64 (sqrt.f64 (cosh.f64 x)) -2))
(pow.f64 (sqrt.f64 (cosh.f64 x)) -4)
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cosh.f64 x)) 2) -2) (pow.f64 (cbrt.f64 (cosh.f64 x)) -2))
(pow.f64 (cosh.f64 x) -2)
(/.f64 1 (pow.f64 (cosh.f64 x) 2))
(pow.f64 (cosh.f64 x) -2)
(/.f64 1 (*.f64 (neg.f64 (cosh.f64 x)) (neg.f64 (cosh.f64 x))))
(pow.f64 (cosh.f64 x) -2)
(/.f64 (/.f64 1 (cosh.f64 x)) (cosh.f64 x))
(pow.f64 (cosh.f64 x) -2)
(/.f64 -1 (*.f64 (cosh.f64 x) (neg.f64 (cosh.f64 x))))
(pow.f64 (cosh.f64 x) -2)
(/.f64 -1 (*.f64 (neg.f64 (cosh.f64 x)) (cosh.f64 x)))
(pow.f64 (cosh.f64 x) -2)
(/.f64 (*.f64 (/.f64 1 (cosh.f64 x)) -1) (neg.f64 (cosh.f64 x)))
(pow.f64 (cosh.f64 x) -2)
(/.f64 (*.f64 -1 (/.f64 1 (cosh.f64 x))) (neg.f64 (cosh.f64 x)))
(pow.f64 (cosh.f64 x) -2)
(sqrt.f64 (pow.f64 (cosh.f64 x) -4))
(pow.f64 (cosh.f64 x) -2)
(log.f64 (exp.f64 (pow.f64 (cosh.f64 x) -2)))
(pow.f64 (cosh.f64 x) -2)
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (cosh.f64 x) -2))))
(pow.f64 (cosh.f64 x) -2)
(cbrt.f64 (pow.f64 (pow.f64 (cosh.f64 x) -2) 3))
(pow.f64 (cosh.f64 x) -2)
(expm1.f64 (log1p.f64 (pow.f64 (cosh.f64 x) -2)))
(pow.f64 (cosh.f64 x) -2)
(exp.f64 (*.f64 -2 (log.f64 (cosh.f64 x))))
(pow.f64 (cosh.f64 x) -2)
(exp.f64 (.f64 (.f64 -2 (log.f64 (cosh.f64 x))) 1))
(pow.f64 (cosh.f64 x) -2)
(log1p.f64 (expm1.f64 (pow.f64 (cosh.f64 x) -2)))
(pow.f64 (cosh.f64 x) -2)
(-.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 (cbrt.f64 (pow.f64 (cosh.f64 x) -2)) (cbrt.f64 (cosh.f64 x)))
(/.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))
(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) -2) 1/2)
(/.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 (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 (pow.f64 (cosh.f64 x) -3) 1/3)
(cbrt.f64 (pow.f64 (cosh.f64 x) -3))
(sqrt.f64 (pow.f64 (cosh.f64 x) -2))
(/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(/.f64 1 (cosh.f64 x))
(fabs.f64 (/.f64 1 (cosh.f64 x)))
(/.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 (cosh.f64 x) -3))
(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))
(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 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 (cbrt.f64 (pow.f64 (cosh.f64 x) -1/2)) (cbrt.f64 (pow.f64 (cosh.f64 x) -1/2)))
(pow.f64 (cbrt.f64 (pow.f64 (cosh.f64 x) -1/2)) 2)
(*.f64 (/.f64 1 (cbrt.f64 (cbrt.f64 (cosh.f64 x)))) (cbrt.f64 (cbrt.f64 (pow.f64 (cosh.f64 x) -2))))
(*.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (cosh.f64 x) -2))) (/.f64 1 (cbrt.f64 (cbrt.f64 (cosh.f64 x)))))
(/.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (cosh.f64 x) -2))) (cbrt.f64 (cbrt.f64 (cosh.f64 x))))
(*.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (cosh.f64 x) -2))) (/.f64 1 (cbrt.f64 (cbrt.f64 (cosh.f64 x)))))
(/.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (cosh.f64 x) -2))) (cbrt.f64 (cbrt.f64 (cosh.f64 x))))
(*.f64 (sqrt.f64 (cbrt.f64 (cbrt.f64 (pow.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 (pow.f64 (cosh.f64 x) -1/2) 1/3) (pow.f64 (pow.f64 (cosh.f64 x) -1/2) 1/3))
(pow.f64 (cbrt.f64 (pow.f64 (cosh.f64 x) -1/2)) 2)
(/.f64 1 (cbrt.f64 (cosh.f64 x)))
(/.f64 1 (/.f64 (cbrt.f64 (cosh.f64 x)) 1))
(/.f64 1 (cbrt.f64 (cosh.f64 x)))
(/.f64 -1 (cbrt.f64 (neg.f64 (cosh.f64 x))))
(/.f64 -1 (neg.f64 (cbrt.f64 (cosh.f64 x))))
(/.f64 1 (cbrt.f64 (cosh.f64 x)))
(pow.f64 (cosh.f64 x) -1/3)
(/.f64 1 (cbrt.f64 (cosh.f64 x)))
(pow.f64 (pow.f64 (cosh.f64 x) -2) 1/6)
(pow.f64 (cbrt.f64 (pow.f64 (cosh.f64 x) -2)) 1/2)
(sqrt.f64 (cbrt.f64 (pow.f64 (cosh.f64 x) -2)))
(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 (pow.f64 (cosh.f64 x) -1/2)) 2)
(pow.f64 (/.f64 1 (cbrt.f64 (cbrt.f64 (cosh.f64 x)))) 3)
(/.f64 1 (cbrt.f64 (cosh.f64 x)))
(pow.f64 (cbrt.f64 (cosh.f64 x)) -1)
(/.f64 1 (cbrt.f64 (cosh.f64 x)))
(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 (neg.f64 (log.f64 (cbrt.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 (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)))

localize22.0ms (0.4%)

Local error

Found 2 expressions with local error:

New	Error	Program
	0.3b	(*.f64 5/24 (pow.f64 x 4))
✓	11.6b	(+.f64 (.f64 (.f64 -1/2 x) x) (*.f64 5/24 (pow.f64 x 4)))

Compiler

Compiled 46 to 34 computations (26.1% saved)

series1.0ms (0%)

Counts

1 → 12

Calls

3 calls:

Time	Variable		Point	Expression
0.0ms	x	@	inf	(+.f64 (.f64 (.f64 -1/2 x) x) (*.f64 5/24 (pow.f64 x 4)))
0.0ms	x	@	0	(+.f64 (.f64 (.f64 -1/2 x) x) (*.f64 5/24 (pow.f64 x 4)))
0.0ms	x	@	-inf	(+.f64 (.f64 (.f64 -1/2 x) x) (*.f64 5/24 (pow.f64 x 4)))

rewrite142.0ms (2.9%)

Algorithm

1×	batch-egg-rewrite

Rules

1004×	`*-commutative`
794×	`unswap-sqr`
632×	`swap-sqr`
434×	`distribute-lft-in`
428×	`distribute-rgt-in`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	27
1	241	27
2	2943	27

Stop Event

1×	node limit

Counts

1 → 89

Calls

Call 1

Inputs
(+.f64 (.f64 (.f64 -1/2 x) x) (*.f64 5/24 (pow.f64 x 4)))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 -1/2 (*.f64 x x)))) (-.f64 1 (*.f64 5/24 (pow.f64 x 4))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 -1/2 (*.f64 x x) (*.f64 5/24 (pow.f64 x 4))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 5/24 (pow.f64 x 4)))) (-.f64 1 (*.f64 -1/2 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (*.f64 (pow.f64 x 4) 1/4) (fma.f64 -1/2 (*.f64 x x) (*.f64 (pow.f64 x 4) -5/24))) (/.f64 (pow.f64 x 8) (/.f64 (fma.f64 -1/2 (*.f64 x x) (*.f64 (pow.f64 x 4) -5/24)) 25/576)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (*.f64 -1/2 (*.f64 x x)) (exp.f64 (log1p.f64 (*.f64 5/24 (pow.f64 x 4))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (*.f64 5/24 (pow.f64 x 4)) (exp.f64 (log1p.f64 (*.f64 -1/2 (*.f64 x x))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 -1/2 (*.f64 x x) (*.f64 5/24 (pow.f64 x 4))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 -1/2 (*.f64 x x) (*.f64 5/24 (pow.f64 x 4))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 -1/2 (*.f64 x x) (*.f64 5/24 (pow.f64 x 4)))) (sqrt.f64 (fma.f64 -1/2 (*.f64 x x) (*.f64 5/24 (pow.f64 x 4)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 -1/2 (*.f64 x x) (*.f64 5/24 (pow.f64 x 4)))) (pow.f64 (cbrt.f64 (fma.f64 -1/2 (*.f64 x x) (*.f64 5/24 (pow.f64 x 4)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 -1/2 (*.f64 x x) (*.f64 5/24 (pow.f64 x 4)))) 2) (cbrt.f64 (fma.f64 -1/2 (*.f64 x x) (*.f64 5/24 (pow.f64 x 4)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x x) (+.f64 -1/2 (*.f64 5/24 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x x) (+.f64 (*.f64 5/24 (*.f64 x x)) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (*.f64 (pow.f64 x 4) 1/4) (*.f64 (pow.f64 x 8) -25/576)) (/.f64 1 (fma.f64 -1/2 (*.f64 x x) (*.f64 (pow.f64 x 4) -5/24))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 (*.f64 x (sqrt.f64 -1/2)) 6) (*.f64 (pow.f64 (pow.f64 x 4) 3) 125/13824)) (/.f64 1 (+.f64 (*.f64 (pow.f64 x 8) 25/576) (*.f64 (pow.f64 x 4) (-.f64 1/4 (*.f64 (*.f64 -1/2 (*.f64 x x)) 5/24))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (fma.f64 -1/2 (*.f64 x x) (*.f64 (pow.f64 x 4) -5/24))) (+.f64 (*.f64 (pow.f64 x 4) 1/4) (*.f64 (pow.f64 x 8) -25/576)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 (*.f64 (pow.f64 x 8) 25/576) (*.f64 (pow.f64 x 4) (-.f64 1/4 (*.f64 (*.f64 -1/2 (*.f64 x x)) 5/24))))) (+.f64 (pow.f64 (*.f64 x (sqrt.f64 -1/2)) 6) (*.f64 (pow.f64 (pow.f64 x 4) 3) 125/13824)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 (*.f64 (pow.f64 x 4) 1/4) (*.f64 (pow.f64 x 8) -25/576)) (+.f64 (*.f64 (pow.f64 x 4) 1/4) (*.f64 (pow.f64 x 8) -25/576))) (fma.f64 -1/2 (*.f64 x x) (*.f64 5/24 (pow.f64 x 4))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 (*.f64 (pow.f64 x 4) 1/4) (*.f64 (pow.f64 x 8) -25/576)) (+.f64 (pow.f64 (*.f64 x (sqrt.f64 -1/2)) 6) (*.f64 -125/13824 (pow.f64 (pow.f64 x 4) 3)))) (+.f64 (*.f64 (pow.f64 x 4) 1/4) (*.f64 (*.f64 5/24 (pow.f64 x 4)) (fma.f64 -1/2 (*.f64 x x) (*.f64 5/24 (pow.f64 x 4))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 (pow.f64 (*.f64 x (sqrt.f64 -1/2)) 6) (*.f64 (pow.f64 (pow.f64 x 4) 3) 125/13824)) (-.f64 (*.f64 1/16 (pow.f64 x 8)) (pow.f64 (+.f64 (*.f64 (pow.f64 x 8) 25/576) (*.f64 (*.f64 -1/2 (*.f64 x x)) (*.f64 (pow.f64 x 4) -5/24))) 2))) (+.f64 (+.f64 (*.f64 (pow.f64 x 4) 1/4) (*.f64 (pow.f64 x 8) -25/576)) (*.f64 -1/2 (*.f64 (*.f64 5/24 (pow.f64 x 4)) (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 (pow.f64 (*.f64 x (sqrt.f64 -1/2)) 6) (*.f64 (pow.f64 (pow.f64 x 4) 3) 125/13824)) (+.f64 (pow.f64 (*.f64 (pow.f64 x 4) 1/4) 3) (pow.f64 (+.f64 (*.f64 (pow.f64 x 8) 25/576) (*.f64 (*.f64 -1/2 (*.f64 x x)) (*.f64 (pow.f64 x 4) -5/24))) 3))) (+.f64 (*.f64 1/16 (pow.f64 x 8)) (*.f64 (+.f64 (*.f64 (pow.f64 x 8) 25/576) (*.f64 (*.f64 -1/2 (*.f64 x x)) (*.f64 (pow.f64 x 4) -5/24))) (-.f64 (+.f64 (*.f64 (pow.f64 x 8) 25/576) (*.f64 (*.f64 -1/2 (*.f64 x x)) (*.f64 (pow.f64 x 4) -5/24))) (*.f64 (pow.f64 x 4) 1/4)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 (cbrt.f64 (fma.f64 -1/2 (*.f64 x x) (*.f64 5/24 (pow.f64 x 4))))) (cbrt.f64 (fma.f64 -1/2 (*.f64 x x) (*.f64 5/24 (pow.f64 x 4))))) (*.f64 (sqrt.f64 (cbrt.f64 (fma.f64 -1/2 (*.f64 x x) (*.f64 5/24 (pow.f64 x 4))))) (cbrt.f64 (fma.f64 -1/2 (*.f64 x x) (*.f64 5/24 (pow.f64 x 4))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (sqrt.f64 (fma.f64 -1/2 (*.f64 x x) (*.f64 5/24 (pow.f64 x 4))))) (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 -1/2 (*.f64 x x) (*.f64 5/24 (pow.f64 x 4)))) 2))) (*.f64 (cbrt.f64 (sqrt.f64 (fma.f64 -1/2 (*.f64 x x) (*.f64 5/24 (pow.f64 x 4))))) (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 -1/2 (*.f64 x x) (*.f64 5/24 (pow.f64 x 4)))) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (fma.f64 -1/2 (*.f64 x x) (*.f64 5/24 (pow.f64 x 4)))) (sqrt.f64 (cbrt.f64 (fma.f64 -1/2 (*.f64 x x) (*.f64 5/24 (pow.f64 x 4)))))) (*.f64 (cbrt.f64 (fma.f64 -1/2 (*.f64 x x) (*.f64 5/24 (pow.f64 x 4)))) (sqrt.f64 (cbrt.f64 (fma.f64 -1/2 (*.f64 x x) (*.f64 5/24 (pow.f64 x 4)))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 -1/2 (*.f64 x x) (*.f64 5/24 (pow.f64 x 4)))) 2)) (cbrt.f64 (sqrt.f64 (fma.f64 -1/2 (*.f64 x x) (*.f64 5/24 (pow.f64 x 4)))))) (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 -1/2 (*.f64 x x) (*.f64 5/24 (pow.f64 x 4)))) 2)) (cbrt.f64 (sqrt.f64 (fma.f64 -1/2 (*.f64 x x) (*.f64 5/24 (pow.f64 x 4)))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 -1/2 (*.f64 x x) (*.f64 5/24 (pow.f64 x 4)))) 3/2) (pow.f64 (cbrt.f64 (fma.f64 -1/2 (*.f64 x x) (*.f64 5/24 (pow.f64 x 4)))) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (fma.f64 -1/2 (*.f64 x x) (*.f64 5/24 (pow.f64 x 4))) 3) 1/6) (pow.f64 (pow.f64 (fma.f64 -1/2 (*.f64 x x) (*.f64 5/24 (pow.f64 x 4))) 3) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 -1/2 (*.f64 x x) (*.f64 5/24 (pow.f64 x 4))) (/.f64 (fma.f64 -1/2 (*.f64 x x) (*.f64 (pow.f64 x 4) -5/24)) (fma.f64 -1/2 (*.f64 x x) (*.f64 (pow.f64 x 4) -5/24))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 1 (fma.f64 -1/2 (*.f64 x x) (*.f64 5/24 (pow.f64 x 4)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 (pow.f64 x 4) 1/4) (*.f64 (pow.f64 x 8) -25/576)) (fma.f64 -1/2 (*.f64 x x) (*.f64 (pow.f64 x 4) -5/24)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 x (sqrt.f64 -1/2)) 6) (*.f64 (pow.f64 (pow.f64 x 4) 3) 125/13824)) (+.f64 (*.f64 (pow.f64 x 8) 25/576) (*.f64 (pow.f64 x 4) (-.f64 1/4 (*.f64 (*.f64 -1/2 (*.f64 x x)) 5/24)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 (pow.f64 x 8) 25/576) (*.f64 (pow.f64 x 4) (-.f64 1/4 (*.f64 (*.f64 -1/2 (*.f64 x x)) 5/24)))) (/.f64 (+.f64 (*.f64 (pow.f64 x 8) 25/576) (*.f64 (pow.f64 x 4) (-.f64 1/4 (*.f64 (*.f64 -1/2 (*.f64 x x)) 5/24)))) (fma.f64 -1/2 (*.f64 x x) (*.f64 5/24 (pow.f64 x 4)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (+.f64 (pow.f64 (*.f64 x (sqrt.f64 -1/2)) 6) (*.f64 (pow.f64 (pow.f64 x 4) 3) 125/13824))) (/.f64 (+.f64 (*.f64 (pow.f64 x 8) 25/576) (*.f64 (pow.f64 x 4) (-.f64 1/4 (*.f64 (*.f64 -1/2 (*.f64 x x)) 5/24)))) (sqrt.f64 (+.f64 (pow.f64 (*.f64 x (sqrt.f64 -1/2)) 6) (*.f64 (pow.f64 (pow.f64 x 4) 3) 125/13824)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (+.f64 (*.f64 (pow.f64 x 4) 1/4) (*.f64 (pow.f64 x 8) -25/576))) (/.f64 (fma.f64 -1/2 (*.f64 x x) (*.f64 (pow.f64 x 4) -5/24)) (sqrt.f64 (+.f64 (*.f64 (pow.f64 x 4) 1/4) (*.f64 (pow.f64 x 8) -25/576)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (cbrt.f64 (+.f64 (pow.f64 (*.f64 x (sqrt.f64 -1/2)) 6) (*.f64 (pow.f64 (pow.f64 x 4) 3) 125/13824))) (cbrt.f64 (+.f64 (pow.f64 (*.f64 x (sqrt.f64 -1/2)) 6) (*.f64 (pow.f64 (pow.f64 x 4) 3) 125/13824)))) (/.f64 (+.f64 (*.f64 (pow.f64 x 8) 25/576) (*.f64 (pow.f64 x 4) (-.f64 1/4 (*.f64 (*.f64 -1/2 (*.f64 x x)) 5/24)))) (cbrt.f64 (+.f64 (pow.f64 (*.f64 x (sqrt.f64 -1/2)) 6) (*.f64 (pow.f64 (pow.f64 x 4) 3) 125/13824)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (cbrt.f64 (+.f64 (*.f64 (pow.f64 x 4) 1/4) (*.f64 (pow.f64 x 8) -25/576))) (cbrt.f64 (+.f64 (*.f64 (pow.f64 x 4) 1/4) (*.f64 (pow.f64 x 8) -25/576)))) (/.f64 (fma.f64 -1/2 (*.f64 x x) (*.f64 (pow.f64 x 4) -5/24)) (cbrt.f64 (+.f64 (*.f64 (pow.f64 x 4) 1/4) (*.f64 (pow.f64 x 8) -25/576)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (*.f64 -1/2 (*.f64 x x)) 6) (*.f64 (pow.f64 (pow.f64 x 4) 6) 15625/191102976)) (*.f64 (+.f64 (*.f64 (pow.f64 x 8) 25/576) (*.f64 (pow.f64 x 4) (-.f64 1/4 (*.f64 (*.f64 -1/2 (*.f64 x x)) 5/24)))) (+.f64 (pow.f64 (*.f64 x (sqrt.f64 -1/2)) 6) (*.f64 -125/13824 (pow.f64 (pow.f64 x 4) 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 (pow.f64 x 8) 25/576) (*.f64 -1/4 (pow.f64 x 4))) (+.f64 (*.f64 5/24 (pow.f64 x 4)) (*.f64 (*.f64 x x) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 1/16 (pow.f64 x 8)) (*.f64 625/331776 (pow.f64 x 16))) (*.f64 (fma.f64 -1/2 (*.f64 x x) (*.f64 (pow.f64 x 4) -5/24)) (+.f64 (*.f64 (pow.f64 x 4) 1/4) (*.f64 (pow.f64 x 8) 25/576))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (pow.f64 (*.f64 x (sqrt.f64 -1/2)) 6) 3) (pow.f64 (*.f64 (pow.f64 (pow.f64 x 4) 3) 125/13824) 3)) (*.f64 (+.f64 (*.f64 (pow.f64 x 8) 25/576) (*.f64 (pow.f64 x 4) (-.f64 1/4 (*.f64 (*.f64 -1/2 (*.f64 x x)) 5/24)))) (-.f64 (+.f64 (pow.f64 (*.f64 -1/2 (*.f64 x x)) 6) (*.f64 (pow.f64 (pow.f64 x 4) 6) 15625/191102976)) (*.f64 (pow.f64 (*.f64 x (sqrt.f64 -1/2)) 6) (*.f64 (pow.f64 (pow.f64 x 4) 3) 125/13824)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (*.f64 (pow.f64 x 4) 1/4) 3) (pow.f64 (*.f64 (pow.f64 x 8) 25/576) 3)) (*.f64 (fma.f64 -1/2 (*.f64 x x) (*.f64 (pow.f64 x 4) -5/24)) (+.f64 (+.f64 (*.f64 1/16 (pow.f64 x 8)) (*.f64 625/331776 (pow.f64 x 16))) (*.f64 (*.f64 (pow.f64 x 4) 1/4) (*.f64 (pow.f64 x 8) 25/576)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (*.f64 (pow.f64 x 4) 1/4) (*.f64 (pow.f64 x 8) -25/576))) (neg.f64 (fma.f64 -1/2 (*.f64 x x) (*.f64 (pow.f64 x 4) -5/24))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 x (sqrt.f64 -1/2)) 6) (*.f64 (pow.f64 (pow.f64 x 4) 3) 125/13824))) (neg.f64 (+.f64 (*.f64 (pow.f64 x 8) 25/576) (*.f64 (pow.f64 x 4) (-.f64 1/4 (*.f64 (*.f64 -1/2 (*.f64 x x)) 5/24))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sqrt.f64 (fma.f64 -1/2 (*.f64 x x) (*.f64 5/24 (pow.f64 x 4)))) (sqrt.f64 (+.f64 (pow.f64 (*.f64 x (sqrt.f64 -1/2)) 6) (*.f64 (pow.f64 (pow.f64 x 4) 3) 125/13824)))) (sqrt.f64 (+.f64 (*.f64 (pow.f64 x 8) 25/576) (*.f64 (pow.f64 x 4) (-.f64 1/4 (*.f64 (*.f64 -1/2 (*.f64 x x)) 5/24))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sqrt.f64 (fma.f64 -1/2 (*.f64 x x) (*.f64 5/24 (pow.f64 x 4)))) (sqrt.f64 (+.f64 (*.f64 (pow.f64 x 4) 1/4) (*.f64 (pow.f64 x 8) -25/576)))) (sqrt.f64 (fma.f64 -1/2 (*.f64 x x) (*.f64 (pow.f64 x 4) -5/24))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (pow.f64 (cbrt.f64 (fma.f64 -1/2 (*.f64 x x) (*.f64 5/24 (pow.f64 x 4)))) 2) (cbrt.f64 (+.f64 (pow.f64 (*.f64 x (sqrt.f64 -1/2)) 6) (*.f64 (pow.f64 (pow.f64 x 4) 3) 125/13824)))) (cbrt.f64 (+.f64 (*.f64 (pow.f64 x 8) 25/576) (*.f64 (pow.f64 x 4) (-.f64 1/4 (*.f64 (*.f64 -1/2 (*.f64 x x)) 5/24))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (pow.f64 (cbrt.f64 (fma.f64 -1/2 (*.f64 x x) (*.f64 5/24 (pow.f64 x 4)))) 2) (cbrt.f64 (+.f64 (*.f64 (pow.f64 x 4) 1/4) (*.f64 (pow.f64 x 8) -25/576)))) (cbrt.f64 (fma.f64 -1/2 (*.f64 x x) (*.f64 (pow.f64 x 4) -5/24))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (*.f64 (pow.f64 x 8) 25/576) (*.f64 -1/4 (pow.f64 x 4))) 1) (+.f64 (*.f64 5/24 (pow.f64 x 4)) (*.f64 (*.f64 x x) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 (+.f64 (*.f64 (pow.f64 x 4) 1/4) (*.f64 (pow.f64 x 8) -25/576))) 1) (neg.f64 (fma.f64 -1/2 (*.f64 x x) (*.f64 (pow.f64 x 4) -5/24))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 x (sqrt.f64 -1/2)) 6) (*.f64 (pow.f64 (pow.f64 x 4) 3) 125/13824))) 1) (neg.f64 (+.f64 (*.f64 (pow.f64 x 8) 25/576) (*.f64 (pow.f64 x 4) (-.f64 1/4 (*.f64 (*.f64 -1/2 (*.f64 x x)) 5/24))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sqrt.f64 (+.f64 (pow.f64 (*.f64 x (sqrt.f64 -1/2)) 6) (*.f64 (pow.f64 (pow.f64 x 4) 3) 125/13824))) (sqrt.f64 (fma.f64 -1/2 (*.f64 x x) (*.f64 5/24 (pow.f64 x 4))))) (sqrt.f64 (+.f64 (*.f64 (pow.f64 x 8) 25/576) (*.f64 (pow.f64 x 4) (-.f64 1/4 (*.f64 (*.f64 -1/2 (*.f64 x x)) 5/24))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sqrt.f64 (+.f64 (*.f64 (pow.f64 x 4) 1/4) (*.f64 (pow.f64 x 8) -25/576))) (sqrt.f64 (fma.f64 -1/2 (*.f64 x x) (*.f64 5/24 (pow.f64 x 4))))) (sqrt.f64 (fma.f64 -1/2 (*.f64 x x) (*.f64 (pow.f64 x 4) -5/24))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (cbrt.f64 (+.f64 (pow.f64 (*.f64 x (sqrt.f64 -1/2)) 6) (*.f64 (pow.f64 (pow.f64 x 4) 3) 125/13824))) (pow.f64 (cbrt.f64 (fma.f64 -1/2 (*.f64 x x) (*.f64 5/24 (pow.f64 x 4)))) 2)) (cbrt.f64 (+.f64 (*.f64 (pow.f64 x 8) 25/576) (*.f64 (pow.f64 x 4) (-.f64 1/4 (*.f64 (*.f64 -1/2 (*.f64 x x)) 5/24))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (cbrt.f64 (+.f64 (*.f64 (pow.f64 x 4) 1/4) (*.f64 (pow.f64 x 8) -25/576))) (pow.f64 (cbrt.f64 (fma.f64 -1/2 (*.f64 x x) (*.f64 5/24 (pow.f64 x 4)))) 2)) (cbrt.f64 (fma.f64 -1/2 (*.f64 x x) (*.f64 (pow.f64 x 4) -5/24))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (*.f64 1/16 (pow.f64 x 8)) (*.f64 625/331776 (pow.f64 x 16))) (/.f64 1 (fma.f64 -1/2 (*.f64 x x) (*.f64 (pow.f64 x 4) -5/24)))) (+.f64 (*.f64 (pow.f64 x 4) 1/4) (*.f64 (pow.f64 x 8) 25/576)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (pow.f64 (*.f64 (pow.f64 x 4) 1/4) 3) (pow.f64 (*.f64 (pow.f64 x 8) 25/576) 3)) (/.f64 1 (fma.f64 -1/2 (*.f64 x x) (*.f64 (pow.f64 x 4) -5/24)))) (+.f64 (+.f64 (*.f64 1/16 (pow.f64 x 8)) (*.f64 625/331776 (pow.f64 x 16))) (*.f64 (*.f64 (pow.f64 x 4) 1/4) (*.f64 (pow.f64 x 8) 25/576))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (pow.f64 (*.f64 -1/2 (*.f64 x x)) 6) (*.f64 (pow.f64 (pow.f64 x 4) 6) 15625/191102976)) (/.f64 1 (+.f64 (*.f64 (pow.f64 x 8) 25/576) (*.f64 (pow.f64 x 4) (-.f64 1/4 (*.f64 (*.f64 -1/2 (*.f64 x x)) 5/24)))))) (+.f64 (pow.f64 (*.f64 x (sqrt.f64 -1/2)) 6) (*.f64 -125/13824 (pow.f64 (pow.f64 x 4) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (pow.f64 (pow.f64 (*.f64 x (sqrt.f64 -1/2)) 6) 3) (pow.f64 (*.f64 (pow.f64 (pow.f64 x 4) 3) 125/13824) 3)) (/.f64 1 (+.f64 (*.f64 (pow.f64 x 8) 25/576) (*.f64 (pow.f64 x 4) (-.f64 1/4 (*.f64 (*.f64 -1/2 (*.f64 x x)) 5/24)))))) (-.f64 (+.f64 (pow.f64 (*.f64 -1/2 (*.f64 x x)) 6) (*.f64 (pow.f64 (pow.f64 x 4) 6) 15625/191102976)) (*.f64 (pow.f64 (*.f64 x (sqrt.f64 -1/2)) 6) (*.f64 (pow.f64 (pow.f64 x 4) 3) 125/13824))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (+.f64 (*.f64 (pow.f64 x 4) 1/4) (*.f64 (pow.f64 x 8) -25/576)) 1) (fma.f64 -1/2 (*.f64 x x) (*.f64 (pow.f64 x 4) -5/24)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (+.f64 (*.f64 (pow.f64 x 4) 1/4) (*.f64 (pow.f64 x 8) -25/576)) (sqrt.f64 (fma.f64 -1/2 (*.f64 x x) (*.f64 (pow.f64 x 4) -5/24)))) (sqrt.f64 (fma.f64 -1/2 (*.f64 x x) (*.f64 (pow.f64 x 4) -5/24))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (+.f64 (*.f64 (pow.f64 x 4) 1/4) (*.f64 (pow.f64 x 8) -25/576)) (*.f64 (cbrt.f64 (fma.f64 -1/2 (*.f64 x x) (*.f64 (pow.f64 x 4) -5/24))) (cbrt.f64 (fma.f64 -1/2 (*.f64 x x) (*.f64 (pow.f64 x 4) -5/24))))) (cbrt.f64 (fma.f64 -1/2 (*.f64 x x) (*.f64 (pow.f64 x 4) -5/24))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (+.f64 (*.f64 (pow.f64 x 4) 1/4) (*.f64 (pow.f64 x 8) -25/576)) (+.f64 (*.f64 x (sqrt.f64 -1/2)) (*.f64 (sqrt.f64 5/24) (*.f64 x x)))) (-.f64 (*.f64 x (sqrt.f64 -1/2)) (*.f64 (sqrt.f64 5/24) (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (+.f64 (pow.f64 (*.f64 x (sqrt.f64 -1/2)) 6) (*.f64 (pow.f64 (pow.f64 x 4) 3) 125/13824)) 1) (+.f64 (*.f64 (pow.f64 x 8) 25/576) (*.f64 (pow.f64 x 4) (-.f64 1/4 (*.f64 (*.f64 -1/2 (*.f64 x x)) 5/24)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (+.f64 (pow.f64 (*.f64 x (sqrt.f64 -1/2)) 6) (*.f64 (pow.f64 (pow.f64 x 4) 3) 125/13824)) (sqrt.f64 (+.f64 (*.f64 (pow.f64 x 8) 25/576) (*.f64 (pow.f64 x 4) (-.f64 1/4 (*.f64 (*.f64 -1/2 (*.f64 x x)) 5/24)))))) (sqrt.f64 (+.f64 (*.f64 (pow.f64 x 8) 25/576) (*.f64 (pow.f64 x 4) (-.f64 1/4 (*.f64 (*.f64 -1/2 (*.f64 x x)) 5/24))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (+.f64 (pow.f64 (*.f64 x (sqrt.f64 -1/2)) 6) (*.f64 (pow.f64 (pow.f64 x 4) 3) 125/13824)) (*.f64 (cbrt.f64 (+.f64 (*.f64 (pow.f64 x 8) 25/576) (*.f64 (pow.f64 x 4) (-.f64 1/4 (*.f64 (*.f64 -1/2 (*.f64 x x)) 5/24))))) (cbrt.f64 (+.f64 (*.f64 (pow.f64 x 8) 25/576) (*.f64 (pow.f64 x 4) (-.f64 1/4 (*.f64 (*.f64 -1/2 (*.f64 x x)) 5/24))))))) (cbrt.f64 (+.f64 (*.f64 (pow.f64 x 8) 25/576) (*.f64 (pow.f64 x 4) (-.f64 1/4 (*.f64 (*.f64 -1/2 (*.f64 x x)) 5/24))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 -1/2 (*.f64 x x) (*.f64 5/24 (pow.f64 x 4))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 -1/2 (*.f64 x x) (*.f64 5/24 (pow.f64 x 4)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 -1/2 (*.f64 x x) (*.f64 5/24 (pow.f64 x 4)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 -1/2 (*.f64 x x) (*.f64 5/24 (pow.f64 x 4))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (+.f64 (*.f64 (pow.f64 x 4) 1/4) (*.f64 (pow.f64 x 8) -25/576)) (neg.f64 (fma.f64 -1/2 (*.f64 x x) (*.f64 (pow.f64 x 4) -5/24)))))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (+.f64 (pow.f64 (*.f64 x (sqrt.f64 -1/2)) 6) (*.f64 (pow.f64 (pow.f64 x 4) 3) 125/13824)) (neg.f64 (+.f64 (*.f64 (pow.f64 x 8) 25/576) (*.f64 (pow.f64 x 4) (-.f64 1/4 (*.f64 (*.f64 -1/2 (*.f64 x x)) 5/24)))))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 -1/2 (*.f64 x x) (*.f64 5/24 (pow.f64 x 4))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 -1/2 (*.f64 x x) (*.f64 5/24 (pow.f64 x 4)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 -1/2 (*.f64 x x) (*.f64 5/24 (pow.f64 x 4))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 -1/2 (*.f64 x x) (*.f64 5/24 (pow.f64 x 4))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 -1/2 (*.f64 x x) (*.f64 5/24 (pow.f64 x 4)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 -1/2 (*.f64 x x) (*.f64 5/24 (pow.f64 x 4)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 -1/2 (*.f64 x x) (*.f64 5/24 (pow.f64 x 4)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -1/2 (*.f64 x x) (*.f64 5/24 (pow.f64 x 4)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x (*.f64 -1/2 x) (*.f64 5/24 (pow.f64 x 4)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 -1/2 x) x (*.f64 5/24 (pow.f64 x 4)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 5/24 (pow.f64 x 4) (*.f64 -1/2 (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 x 4) 5/24 (*.f64 -1/2 (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 -1/2 (*.f64 x x)) (*.f64 5/24 (pow.f64 x 4)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 5/24 (pow.f64 x 4)) (*.f64 -1/2 (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 x (sqrt.f64 -1/2)) (*.f64 x (sqrt.f64 -1/2)) (*.f64 5/24 (pow.f64 x 4)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (sqrt.f64 5/24) (*.f64 x x)) (*.f64 (sqrt.f64 5/24) (*.f64 x x)) (*.f64 -1/2 (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 (pow.f64 x 4) 1/4)) (cbrt.f64 (*.f64 -1/2 (*.f64 x x))) (*.f64 5/24 (pow.f64 x 4)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 (pow.f64 x 8) 25/576)) (cbrt.f64 (*.f64 5/24 (pow.f64 x 4))) (*.f64 -1/2 (*.f64 x x)))))))

simplify141.0ms (2.8%)

Algorithm

1×	egg-herbie

Rules

1466×	`distribute-lft-in`
1402×	`associate-/r*`
1088×	`associate-*r/`
852×	`associate-*l/`
418×	`associate-r`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	282	7079
1	774	6527
2	3154	6527

Stop Event

1×	node limit

Counts

101 → 154

Calls

Call 1

Inputs
(*.f64 -1/2 (pow.f64 x 2))
(+.f64 (.f64 -1/2 (pow.f64 x 2)) (.f64 5/24 (pow.f64 x 4)))
(+.f64 (.f64 -1/2 (pow.f64 x 2)) (.f64 5/24 (pow.f64 x 4)))
(+.f64 (.f64 -1/2 (pow.f64 x 2)) (.f64 5/24 (pow.f64 x 4)))
(*.f64 5/24 (pow.f64 x 4))
(+.f64 (.f64 -1/2 (pow.f64 x 2)) (.f64 5/24 (pow.f64 x 4)))
(+.f64 (.f64 -1/2 (pow.f64 x 2)) (.f64 5/24 (pow.f64 x 4)))
(+.f64 (.f64 -1/2 (pow.f64 x 2)) (.f64 5/24 (pow.f64 x 4)))
(*.f64 5/24 (pow.f64 x 4))
(+.f64 (.f64 -1/2 (pow.f64 x 2)) (.f64 5/24 (pow.f64 x 4)))
(+.f64 (.f64 -1/2 (pow.f64 x 2)) (.f64 5/24 (pow.f64 x 4)))
(+.f64 (.f64 -1/2 (pow.f64 x 2)) (.f64 5/24 (pow.f64 x 4)))
(-.f64 (exp.f64 (log1p.f64 (.f64 -1/2 (.f64 x x)))) (-.f64 1 (*.f64 5/24 (pow.f64 x 4))))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 -1/2 (.f64 x x) (.f64 5/24 (pow.f64 x 4))))) 1)
(-.f64 (exp.f64 (log1p.f64 (.f64 5/24 (pow.f64 x 4)))) (-.f64 1 (.f64 -1/2 (*.f64 x x))))
(-.f64 (/.f64 (.f64 (pow.f64 x 4) 1/4) (fma.f64 -1/2 (.f64 x x) (.f64 (pow.f64 x 4) -5/24))) (/.f64 (pow.f64 x 8) (/.f64 (fma.f64 -1/2 (.f64 x x) (*.f64 (pow.f64 x 4) -5/24)) 25/576)))
(-.f64 (+.f64 (.f64 -1/2 (.f64 x x)) (exp.f64 (log1p.f64 (*.f64 5/24 (pow.f64 x 4))))) 1)
(-.f64 (+.f64 (.f64 5/24 (pow.f64 x 4)) (exp.f64 (log1p.f64 (.f64 -1/2 (*.f64 x x))))) 1)
(.f64 (fma.f64 -1/2 (.f64 x x) (*.f64 5/24 (pow.f64 x 4))) 1)
(.f64 1 (fma.f64 -1/2 (.f64 x x) (*.f64 5/24 (pow.f64 x 4))))
(.f64 (sqrt.f64 (fma.f64 -1/2 (.f64 x x) (.f64 5/24 (pow.f64 x 4)))) (sqrt.f64 (fma.f64 -1/2 (.f64 x x) (*.f64 5/24 (pow.f64 x 4)))))
(.f64 (cbrt.f64 (fma.f64 -1/2 (.f64 x x) (.f64 5/24 (pow.f64 x 4)))) (pow.f64 (cbrt.f64 (fma.f64 -1/2 (.f64 x x) (*.f64 5/24 (pow.f64 x 4)))) 2))
(.f64 (pow.f64 (cbrt.f64 (fma.f64 -1/2 (.f64 x x) (.f64 5/24 (pow.f64 x 4)))) 2) (cbrt.f64 (fma.f64 -1/2 (.f64 x x) (*.f64 5/24 (pow.f64 x 4)))))
(.f64 (.f64 x x) (+.f64 -1/2 (.f64 5/24 (.f64 x x))))
(.f64 (.f64 x x) (+.f64 (.f64 5/24 (.f64 x x)) -1/2))
(.f64 (+.f64 (.f64 (pow.f64 x 4) 1/4) (.f64 (pow.f64 x 8) -25/576)) (/.f64 1 (fma.f64 -1/2 (.f64 x x) (*.f64 (pow.f64 x 4) -5/24))))
(.f64 (+.f64 (pow.f64 (.f64 x (sqrt.f64 -1/2)) 6) (.f64 (pow.f64 (pow.f64 x 4) 3) 125/13824)) (/.f64 1 (+.f64 (.f64 (pow.f64 x 8) 25/576) (.f64 (pow.f64 x 4) (-.f64 1/4 (.f64 (.f64 -1/2 (.f64 x x)) 5/24))))))
(.f64 (/.f64 1 (fma.f64 -1/2 (.f64 x x) (.f64 (pow.f64 x 4) -5/24))) (+.f64 (.f64 (pow.f64 x 4) 1/4) (*.f64 (pow.f64 x 8) -25/576)))
(.f64 (/.f64 1 (+.f64 (.f64 (pow.f64 x 8) 25/576) (.f64 (pow.f64 x 4) (-.f64 1/4 (.f64 (.f64 -1/2 (.f64 x x)) 5/24))))) (+.f64 (pow.f64 (.f64 x (sqrt.f64 -1/2)) 6) (.f64 (pow.f64 (pow.f64 x 4) 3) 125/13824)))
(.f64 (/.f64 (+.f64 (.f64 (pow.f64 x 4) 1/4) (.f64 (pow.f64 x 8) -25/576)) (+.f64 (.f64 (pow.f64 x 4) 1/4) (.f64 (pow.f64 x 8) -25/576))) (fma.f64 -1/2 (.f64 x x) (*.f64 5/24 (pow.f64 x 4))))
(.f64 (/.f64 (+.f64 (.f64 (pow.f64 x 4) 1/4) (.f64 (pow.f64 x 8) -25/576)) (+.f64 (pow.f64 (.f64 x (sqrt.f64 -1/2)) 6) (.f64 -125/13824 (pow.f64 (pow.f64 x 4) 3)))) (+.f64 (.f64 (pow.f64 x 4) 1/4) (.f64 (.f64 5/24 (pow.f64 x 4)) (fma.f64 -1/2 (.f64 x x) (.f64 5/24 (pow.f64 x 4))))))
(.f64 (/.f64 (+.f64 (pow.f64 (.f64 x (sqrt.f64 -1/2)) 6) (.f64 (pow.f64 (pow.f64 x 4) 3) 125/13824)) (-.f64 (.f64 1/16 (pow.f64 x 8)) (pow.f64 (+.f64 (.f64 (pow.f64 x 8) 25/576) (.f64 (.f64 -1/2 (.f64 x x)) (.f64 (pow.f64 x 4) -5/24))) 2))) (+.f64 (+.f64 (.f64 (pow.f64 x 4) 1/4) (.f64 (pow.f64 x 8) -25/576)) (.f64 -1/2 (.f64 (.f64 5/24 (pow.f64 x 4)) (*.f64 x x)))))
(.f64 (/.f64 (+.f64 (pow.f64 (.f64 x (sqrt.f64 -1/2)) 6) (.f64 (pow.f64 (pow.f64 x 4) 3) 125/13824)) (+.f64 (pow.f64 (.f64 (pow.f64 x 4) 1/4) 3) (pow.f64 (+.f64 (.f64 (pow.f64 x 8) 25/576) (.f64 (.f64 -1/2 (.f64 x x)) (.f64 (pow.f64 x 4) -5/24))) 3))) (+.f64 (.f64 1/16 (pow.f64 x 8)) (.f64 (+.f64 (.f64 (pow.f64 x 8) 25/576) (.f64 (.f64 -1/2 (.f64 x x)) (.f64 (pow.f64 x 4) -5/24))) (-.f64 (+.f64 (.f64 (pow.f64 x 8) 25/576) (.f64 (.f64 -1/2 (.f64 x x)) (.f64 (pow.f64 x 4) -5/24))) (.f64 (pow.f64 x 4) 1/4)))))
(.f64 (.f64 (sqrt.f64 (cbrt.f64 (fma.f64 -1/2 (.f64 x x) (.f64 5/24 (pow.f64 x 4))))) (cbrt.f64 (fma.f64 -1/2 (.f64 x x) (.f64 5/24 (pow.f64 x 4))))) (.f64 (sqrt.f64 (cbrt.f64 (fma.f64 -1/2 (.f64 x x) (.f64 5/24 (pow.f64 x 4))))) (cbrt.f64 (fma.f64 -1/2 (.f64 x x) (*.f64 5/24 (pow.f64 x 4))))))
(.f64 (.f64 (cbrt.f64 (sqrt.f64 (fma.f64 -1/2 (.f64 x x) (.f64 5/24 (pow.f64 x 4))))) (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 -1/2 (.f64 x x) (.f64 5/24 (pow.f64 x 4)))) 2))) (.f64 (cbrt.f64 (sqrt.f64 (fma.f64 -1/2 (.f64 x x) (.f64 5/24 (pow.f64 x 4))))) (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 -1/2 (.f64 x x) (*.f64 5/24 (pow.f64 x 4)))) 2))))
(.f64 (.f64 (cbrt.f64 (fma.f64 -1/2 (.f64 x x) (.f64 5/24 (pow.f64 x 4)))) (sqrt.f64 (cbrt.f64 (fma.f64 -1/2 (.f64 x x) (.f64 5/24 (pow.f64 x 4)))))) (.f64 (cbrt.f64 (fma.f64 -1/2 (.f64 x x) (.f64 5/24 (pow.f64 x 4)))) (sqrt.f64 (cbrt.f64 (fma.f64 -1/2 (.f64 x x) (*.f64 5/24 (pow.f64 x 4)))))))
(.f64 (.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 -1/2 (.f64 x x) (.f64 5/24 (pow.f64 x 4)))) 2)) (cbrt.f64 (sqrt.f64 (fma.f64 -1/2 (.f64 x x) (.f64 5/24 (pow.f64 x 4)))))) (.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 -1/2 (.f64 x x) (.f64 5/24 (pow.f64 x 4)))) 2)) (cbrt.f64 (sqrt.f64 (fma.f64 -1/2 (.f64 x x) (*.f64 5/24 (pow.f64 x 4)))))))
(.f64 (pow.f64 (cbrt.f64 (fma.f64 -1/2 (.f64 x x) (.f64 5/24 (pow.f64 x 4)))) 3/2) (pow.f64 (cbrt.f64 (fma.f64 -1/2 (.f64 x x) (*.f64 5/24 (pow.f64 x 4)))) 3/2))
(.f64 (pow.f64 (pow.f64 (fma.f64 -1/2 (.f64 x x) (.f64 5/24 (pow.f64 x 4))) 3) 1/6) (pow.f64 (pow.f64 (fma.f64 -1/2 (.f64 x x) (*.f64 5/24 (pow.f64 x 4))) 3) 1/6))
(/.f64 (fma.f64 -1/2 (.f64 x x) (.f64 5/24 (pow.f64 x 4))) (/.f64 (fma.f64 -1/2 (.f64 x x) (.f64 (pow.f64 x 4) -5/24)) (fma.f64 -1/2 (.f64 x x) (.f64 (pow.f64 x 4) -5/24))))
(/.f64 1 (/.f64 1 (fma.f64 -1/2 (.f64 x x) (.f64 5/24 (pow.f64 x 4)))))
(/.f64 (+.f64 (.f64 (pow.f64 x 4) 1/4) (.f64 (pow.f64 x 8) -25/576)) (fma.f64 -1/2 (.f64 x x) (.f64 (pow.f64 x 4) -5/24)))
(/.f64 (+.f64 (pow.f64 (.f64 x (sqrt.f64 -1/2)) 6) (.f64 (pow.f64 (pow.f64 x 4) 3) 125/13824)) (+.f64 (.f64 (pow.f64 x 8) 25/576) (.f64 (pow.f64 x 4) (-.f64 1/4 (.f64 (.f64 -1/2 (*.f64 x x)) 5/24)))))
(/.f64 (+.f64 (.f64 (pow.f64 x 8) 25/576) (.f64 (pow.f64 x 4) (-.f64 1/4 (.f64 (.f64 -1/2 (.f64 x x)) 5/24)))) (/.f64 (+.f64 (.f64 (pow.f64 x 8) 25/576) (.f64 (pow.f64 x 4) (-.f64 1/4 (.f64 (.f64 -1/2 (.f64 x x)) 5/24)))) (fma.f64 -1/2 (.f64 x x) (.f64 5/24 (pow.f64 x 4)))))
(/.f64 (sqrt.f64 (+.f64 (pow.f64 (.f64 x (sqrt.f64 -1/2)) 6) (.f64 (pow.f64 (pow.f64 x 4) 3) 125/13824))) (/.f64 (+.f64 (.f64 (pow.f64 x 8) 25/576) (.f64 (pow.f64 x 4) (-.f64 1/4 (.f64 (.f64 -1/2 (.f64 x x)) 5/24)))) (sqrt.f64 (+.f64 (pow.f64 (.f64 x (sqrt.f64 -1/2)) 6) (*.f64 (pow.f64 (pow.f64 x 4) 3) 125/13824)))))
(/.f64 (sqrt.f64 (+.f64 (.f64 (pow.f64 x 4) 1/4) (.f64 (pow.f64 x 8) -25/576))) (/.f64 (fma.f64 -1/2 (.f64 x x) (.f64 (pow.f64 x 4) -5/24)) (sqrt.f64 (+.f64 (.f64 (pow.f64 x 4) 1/4) (.f64 (pow.f64 x 8) -25/576)))))
(/.f64 (.f64 (cbrt.f64 (+.f64 (pow.f64 (.f64 x (sqrt.f64 -1/2)) 6) (.f64 (pow.f64 (pow.f64 x 4) 3) 125/13824))) (cbrt.f64 (+.f64 (pow.f64 (.f64 x (sqrt.f64 -1/2)) 6) (.f64 (pow.f64 (pow.f64 x 4) 3) 125/13824)))) (/.f64 (+.f64 (.f64 (pow.f64 x 8) 25/576) (.f64 (pow.f64 x 4) (-.f64 1/4 (.f64 (.f64 -1/2 (.f64 x x)) 5/24)))) (cbrt.f64 (+.f64 (pow.f64 (.f64 x (sqrt.f64 -1/2)) 6) (.f64 (pow.f64 (pow.f64 x 4) 3) 125/13824)))))
(/.f64 (.f64 (cbrt.f64 (+.f64 (.f64 (pow.f64 x 4) 1/4) (.f64 (pow.f64 x 8) -25/576))) (cbrt.f64 (+.f64 (.f64 (pow.f64 x 4) 1/4) (.f64 (pow.f64 x 8) -25/576)))) (/.f64 (fma.f64 -1/2 (.f64 x x) (.f64 (pow.f64 x 4) -5/24)) (cbrt.f64 (+.f64 (.f64 (pow.f64 x 4) 1/4) (*.f64 (pow.f64 x 8) -25/576)))))
(/.f64 (-.f64 (pow.f64 (.f64 -1/2 (.f64 x x)) 6) (.f64 (pow.f64 (pow.f64 x 4) 6) 15625/191102976)) (.f64 (+.f64 (.f64 (pow.f64 x 8) 25/576) (.f64 (pow.f64 x 4) (-.f64 1/4 (.f64 (.f64 -1/2 (.f64 x x)) 5/24)))) (+.f64 (pow.f64 (.f64 x (sqrt.f64 -1/2)) 6) (*.f64 -125/13824 (pow.f64 (pow.f64 x 4) 3)))))
(/.f64 (+.f64 (.f64 (pow.f64 x 8) 25/576) (.f64 -1/4 (pow.f64 x 4))) (+.f64 (.f64 5/24 (pow.f64 x 4)) (.f64 (*.f64 x x) 1/2)))
(/.f64 (-.f64 (.f64 1/16 (pow.f64 x 8)) (.f64 625/331776 (pow.f64 x 16))) (.f64 (fma.f64 -1/2 (.f64 x x) (.f64 (pow.f64 x 4) -5/24)) (+.f64 (.f64 (pow.f64 x 4) 1/4) (*.f64 (pow.f64 x 8) 25/576))))
(/.f64 (+.f64 (pow.f64 (pow.f64 (.f64 x (sqrt.f64 -1/2)) 6) 3) (pow.f64 (.f64 (pow.f64 (pow.f64 x 4) 3) 125/13824) 3)) (.f64 (+.f64 (.f64 (pow.f64 x 8) 25/576) (.f64 (pow.f64 x 4) (-.f64 1/4 (.f64 (.f64 -1/2 (.f64 x x)) 5/24)))) (-.f64 (+.f64 (pow.f64 (.f64 -1/2 (.f64 x x)) 6) (.f64 (pow.f64 (pow.f64 x 4) 6) 15625/191102976)) (.f64 (pow.f64 (.f64 x (sqrt.f64 -1/2)) 6) (.f64 (pow.f64 (pow.f64 x 4) 3) 125/13824)))))
(/.f64 (-.f64 (pow.f64 (.f64 (pow.f64 x 4) 1/4) 3) (pow.f64 (.f64 (pow.f64 x 8) 25/576) 3)) (.f64 (fma.f64 -1/2 (.f64 x x) (.f64 (pow.f64 x 4) -5/24)) (+.f64 (+.f64 (.f64 1/16 (pow.f64 x 8)) (.f64 625/331776 (pow.f64 x 16))) (.f64 (.f64 (pow.f64 x 4) 1/4) (.f64 (pow.f64 x 8) 25/576)))))
(/.f64 (neg.f64 (+.f64 (.f64 (pow.f64 x 4) 1/4) (.f64 (pow.f64 x 8) -25/576))) (neg.f64 (fma.f64 -1/2 (.f64 x x) (.f64 (pow.f64 x 4) -5/24))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (.f64 x (sqrt.f64 -1/2)) 6) (.f64 (pow.f64 (pow.f64 x 4) 3) 125/13824))) (neg.f64 (+.f64 (.f64 (pow.f64 x 8) 25/576) (.f64 (pow.f64 x 4) (-.f64 1/4 (.f64 (.f64 -1/2 (*.f64 x x)) 5/24))))))
(/.f64 (.f64 (sqrt.f64 (fma.f64 -1/2 (.f64 x x) (.f64 5/24 (pow.f64 x 4)))) (sqrt.f64 (+.f64 (pow.f64 (.f64 x (sqrt.f64 -1/2)) 6) (.f64 (pow.f64 (pow.f64 x 4) 3) 125/13824)))) (sqrt.f64 (+.f64 (.f64 (pow.f64 x 8) 25/576) (.f64 (pow.f64 x 4) (-.f64 1/4 (.f64 (.f64 -1/2 (.f64 x x)) 5/24))))))
(/.f64 (.f64 (sqrt.f64 (fma.f64 -1/2 (.f64 x x) (.f64 5/24 (pow.f64 x 4)))) (sqrt.f64 (+.f64 (.f64 (pow.f64 x 4) 1/4) (.f64 (pow.f64 x 8) -25/576)))) (sqrt.f64 (fma.f64 -1/2 (.f64 x x) (*.f64 (pow.f64 x 4) -5/24))))
(/.f64 (.f64 (pow.f64 (cbrt.f64 (fma.f64 -1/2 (.f64 x x) (.f64 5/24 (pow.f64 x 4)))) 2) (cbrt.f64 (+.f64 (pow.f64 (.f64 x (sqrt.f64 -1/2)) 6) (.f64 (pow.f64 (pow.f64 x 4) 3) 125/13824)))) (cbrt.f64 (+.f64 (.f64 (pow.f64 x 8) 25/576) (.f64 (pow.f64 x 4) (-.f64 1/4 (.f64 (.f64 -1/2 (.f64 x x)) 5/24))))))
(/.f64 (.f64 (pow.f64 (cbrt.f64 (fma.f64 -1/2 (.f64 x x) (.f64 5/24 (pow.f64 x 4)))) 2) (cbrt.f64 (+.f64 (.f64 (pow.f64 x 4) 1/4) (.f64 (pow.f64 x 8) -25/576)))) (cbrt.f64 (fma.f64 -1/2 (.f64 x x) (*.f64 (pow.f64 x 4) -5/24))))
(/.f64 (.f64 (+.f64 (.f64 (pow.f64 x 8) 25/576) (.f64 -1/4 (pow.f64 x 4))) 1) (+.f64 (.f64 5/24 (pow.f64 x 4)) (.f64 (.f64 x x) 1/2)))
(/.f64 (.f64 (neg.f64 (+.f64 (.f64 (pow.f64 x 4) 1/4) (.f64 (pow.f64 x 8) -25/576))) 1) (neg.f64 (fma.f64 -1/2 (.f64 x x) (*.f64 (pow.f64 x 4) -5/24))))
(/.f64 (.f64 (neg.f64 (+.f64 (pow.f64 (.f64 x (sqrt.f64 -1/2)) 6) (.f64 (pow.f64 (pow.f64 x 4) 3) 125/13824))) 1) (neg.f64 (+.f64 (.f64 (pow.f64 x 8) 25/576) (.f64 (pow.f64 x 4) (-.f64 1/4 (.f64 (.f64 -1/2 (.f64 x x)) 5/24))))))
(/.f64 (.f64 (sqrt.f64 (+.f64 (pow.f64 (.f64 x (sqrt.f64 -1/2)) 6) (.f64 (pow.f64 (pow.f64 x 4) 3) 125/13824))) (sqrt.f64 (fma.f64 -1/2 (.f64 x x) (.f64 5/24 (pow.f64 x 4))))) (sqrt.f64 (+.f64 (.f64 (pow.f64 x 8) 25/576) (.f64 (pow.f64 x 4) (-.f64 1/4 (.f64 (.f64 -1/2 (.f64 x x)) 5/24))))))
(/.f64 (.f64 (sqrt.f64 (+.f64 (.f64 (pow.f64 x 4) 1/4) (.f64 (pow.f64 x 8) -25/576))) (sqrt.f64 (fma.f64 -1/2 (.f64 x x) (.f64 5/24 (pow.f64 x 4))))) (sqrt.f64 (fma.f64 -1/2 (.f64 x x) (*.f64 (pow.f64 x 4) -5/24))))
(/.f64 (.f64 (cbrt.f64 (+.f64 (pow.f64 (.f64 x (sqrt.f64 -1/2)) 6) (.f64 (pow.f64 (pow.f64 x 4) 3) 125/13824))) (pow.f64 (cbrt.f64 (fma.f64 -1/2 (.f64 x x) (.f64 5/24 (pow.f64 x 4)))) 2)) (cbrt.f64 (+.f64 (.f64 (pow.f64 x 8) 25/576) (.f64 (pow.f64 x 4) (-.f64 1/4 (.f64 (.f64 -1/2 (.f64 x x)) 5/24))))))
(/.f64 (.f64 (cbrt.f64 (+.f64 (.f64 (pow.f64 x 4) 1/4) (.f64 (pow.f64 x 8) -25/576))) (pow.f64 (cbrt.f64 (fma.f64 -1/2 (.f64 x x) (.f64 5/24 (pow.f64 x 4)))) 2)) (cbrt.f64 (fma.f64 -1/2 (.f64 x x) (*.f64 (pow.f64 x 4) -5/24))))
(/.f64 (.f64 (-.f64 (.f64 1/16 (pow.f64 x 8)) (.f64 625/331776 (pow.f64 x 16))) (/.f64 1 (fma.f64 -1/2 (.f64 x x) (.f64 (pow.f64 x 4) -5/24)))) (+.f64 (.f64 (pow.f64 x 4) 1/4) (*.f64 (pow.f64 x 8) 25/576)))
(/.f64 (.f64 (-.f64 (pow.f64 (.f64 (pow.f64 x 4) 1/4) 3) (pow.f64 (.f64 (pow.f64 x 8) 25/576) 3)) (/.f64 1 (fma.f64 -1/2 (.f64 x x) (.f64 (pow.f64 x 4) -5/24)))) (+.f64 (+.f64 (.f64 1/16 (pow.f64 x 8)) (.f64 625/331776 (pow.f64 x 16))) (.f64 (.f64 (pow.f64 x 4) 1/4) (.f64 (pow.f64 x 8) 25/576))))
(/.f64 (.f64 (-.f64 (pow.f64 (.f64 -1/2 (.f64 x x)) 6) (.f64 (pow.f64 (pow.f64 x 4) 6) 15625/191102976)) (/.f64 1 (+.f64 (.f64 (pow.f64 x 8) 25/576) (.f64 (pow.f64 x 4) (-.f64 1/4 (.f64 (.f64 -1/2 (.f64 x x)) 5/24)))))) (+.f64 (pow.f64 (.f64 x (sqrt.f64 -1/2)) 6) (*.f64 -125/13824 (pow.f64 (pow.f64 x 4) 3))))
(/.f64 (.f64 (+.f64 (pow.f64 (pow.f64 (.f64 x (sqrt.f64 -1/2)) 6) 3) (pow.f64 (.f64 (pow.f64 (pow.f64 x 4) 3) 125/13824) 3)) (/.f64 1 (+.f64 (.f64 (pow.f64 x 8) 25/576) (.f64 (pow.f64 x 4) (-.f64 1/4 (.f64 (.f64 -1/2 (.f64 x x)) 5/24)))))) (-.f64 (+.f64 (pow.f64 (.f64 -1/2 (.f64 x x)) 6) (.f64 (pow.f64 (pow.f64 x 4) 6) 15625/191102976)) (.f64 (pow.f64 (.f64 x (sqrt.f64 -1/2)) 6) (.f64 (pow.f64 (pow.f64 x 4) 3) 125/13824))))
(/.f64 (/.f64 (+.f64 (.f64 (pow.f64 x 4) 1/4) (.f64 (pow.f64 x 8) -25/576)) 1) (fma.f64 -1/2 (.f64 x x) (.f64 (pow.f64 x 4) -5/24)))
(/.f64 (/.f64 (+.f64 (.f64 (pow.f64 x 4) 1/4) (.f64 (pow.f64 x 8) -25/576)) (sqrt.f64 (fma.f64 -1/2 (.f64 x x) (.f64 (pow.f64 x 4) -5/24)))) (sqrt.f64 (fma.f64 -1/2 (.f64 x x) (.f64 (pow.f64 x 4) -5/24))))
(/.f64 (/.f64 (+.f64 (.f64 (pow.f64 x 4) 1/4) (.f64 (pow.f64 x 8) -25/576)) (.f64 (cbrt.f64 (fma.f64 -1/2 (.f64 x x) (.f64 (pow.f64 x 4) -5/24))) (cbrt.f64 (fma.f64 -1/2 (.f64 x x) (.f64 (pow.f64 x 4) -5/24))))) (cbrt.f64 (fma.f64 -1/2 (.f64 x x) (*.f64 (pow.f64 x 4) -5/24))))
(/.f64 (/.f64 (+.f64 (.f64 (pow.f64 x 4) 1/4) (.f64 (pow.f64 x 8) -25/576)) (+.f64 (.f64 x (sqrt.f64 -1/2)) (.f64 (sqrt.f64 5/24) (.f64 x x)))) (-.f64 (.f64 x (sqrt.f64 -1/2)) (.f64 (sqrt.f64 5/24) (.f64 x x))))
(/.f64 (/.f64 (+.f64 (pow.f64 (.f64 x (sqrt.f64 -1/2)) 6) (.f64 (pow.f64 (pow.f64 x 4) 3) 125/13824)) 1) (+.f64 (.f64 (pow.f64 x 8) 25/576) (.f64 (pow.f64 x 4) (-.f64 1/4 (.f64 (.f64 -1/2 (*.f64 x x)) 5/24)))))
(/.f64 (/.f64 (+.f64 (pow.f64 (.f64 x (sqrt.f64 -1/2)) 6) (.f64 (pow.f64 (pow.f64 x 4) 3) 125/13824)) (sqrt.f64 (+.f64 (.f64 (pow.f64 x 8) 25/576) (.f64 (pow.f64 x 4) (-.f64 1/4 (.f64 (.f64 -1/2 (.f64 x x)) 5/24)))))) (sqrt.f64 (+.f64 (.f64 (pow.f64 x 8) 25/576) (.f64 (pow.f64 x 4) (-.f64 1/4 (.f64 (.f64 -1/2 (.f64 x x)) 5/24))))))
(/.f64 (/.f64 (+.f64 (pow.f64 (.f64 x (sqrt.f64 -1/2)) 6) (.f64 (pow.f64 (pow.f64 x 4) 3) 125/13824)) (.f64 (cbrt.f64 (+.f64 (.f64 (pow.f64 x 8) 25/576) (.f64 (pow.f64 x 4) (-.f64 1/4 (.f64 (.f64 -1/2 (.f64 x x)) 5/24))))) (cbrt.f64 (+.f64 (.f64 (pow.f64 x 8) 25/576) (.f64 (pow.f64 x 4) (-.f64 1/4 (.f64 (.f64 -1/2 (.f64 x x)) 5/24))))))) (cbrt.f64 (+.f64 (.f64 (pow.f64 x 8) 25/576) (.f64 (pow.f64 x 4) (-.f64 1/4 (.f64 (.f64 -1/2 (.f64 x x)) 5/24))))))
(pow.f64 (fma.f64 -1/2 (.f64 x x) (.f64 5/24 (pow.f64 x 4))) 1)
(pow.f64 (sqrt.f64 (fma.f64 -1/2 (.f64 x x) (.f64 5/24 (pow.f64 x 4)))) 2)
(pow.f64 (cbrt.f64 (fma.f64 -1/2 (.f64 x x) (.f64 5/24 (pow.f64 x 4)))) 3)
(pow.f64 (pow.f64 (fma.f64 -1/2 (.f64 x x) (.f64 5/24 (pow.f64 x 4))) 3) 1/3)
(neg.f64 (/.f64 (+.f64 (.f64 (pow.f64 x 4) 1/4) (.f64 (pow.f64 x 8) -25/576)) (neg.f64 (fma.f64 -1/2 (.f64 x x) (.f64 (pow.f64 x 4) -5/24)))))
(neg.f64 (/.f64 (+.f64 (pow.f64 (.f64 x (sqrt.f64 -1/2)) 6) (.f64 (pow.f64 (pow.f64 x 4) 3) 125/13824)) (neg.f64 (+.f64 (.f64 (pow.f64 x 8) 25/576) (.f64 (pow.f64 x 4) (-.f64 1/4 (.f64 (.f64 -1/2 (*.f64 x x)) 5/24)))))))
(sqrt.f64 (pow.f64 (fma.f64 -1/2 (.f64 x x) (.f64 5/24 (pow.f64 x 4))) 2))
(log.f64 (exp.f64 (fma.f64 -1/2 (.f64 x x) (.f64 5/24 (pow.f64 x 4)))))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 -1/2 (.f64 x x) (.f64 5/24 (pow.f64 x 4))))))
(cbrt.f64 (pow.f64 (fma.f64 -1/2 (.f64 x x) (.f64 5/24 (pow.f64 x 4))) 3))
(expm1.f64 (log1p.f64 (fma.f64 -1/2 (.f64 x x) (.f64 5/24 (pow.f64 x 4)))))
(exp.f64 (log.f64 (fma.f64 -1/2 (.f64 x x) (.f64 5/24 (pow.f64 x 4)))))
(log1p.f64 (expm1.f64 (fma.f64 -1/2 (.f64 x x) (.f64 5/24 (pow.f64 x 4)))))
(fma.f64 -1/2 (.f64 x x) (.f64 5/24 (pow.f64 x 4)))
(fma.f64 x (.f64 -1/2 x) (.f64 5/24 (pow.f64 x 4)))
(fma.f64 (.f64 -1/2 x) x (.f64 5/24 (pow.f64 x 4)))
(fma.f64 5/24 (pow.f64 x 4) (.f64 -1/2 (.f64 x x)))
(fma.f64 (pow.f64 x 4) 5/24 (.f64 -1/2 (.f64 x x)))
(fma.f64 1 (.f64 -1/2 (.f64 x x)) (*.f64 5/24 (pow.f64 x 4)))
(fma.f64 1 (.f64 5/24 (pow.f64 x 4)) (.f64 -1/2 (*.f64 x x)))
(fma.f64 (.f64 x (sqrt.f64 -1/2)) (.f64 x (sqrt.f64 -1/2)) (*.f64 5/24 (pow.f64 x 4)))
(fma.f64 (.f64 (sqrt.f64 5/24) (.f64 x x)) (.f64 (sqrt.f64 5/24) (.f64 x x)) (.f64 -1/2 (.f64 x x)))
(fma.f64 (cbrt.f64 (.f64 (pow.f64 x 4) 1/4)) (cbrt.f64 (.f64 -1/2 (.f64 x x))) (.f64 5/24 (pow.f64 x 4)))
(fma.f64 (cbrt.f64 (.f64 (pow.f64 x 8) 25/576)) (cbrt.f64 (.f64 5/24 (pow.f64 x 4))) (.f64 -1/2 (.f64 x x)))

Outputs
(*.f64 -1/2 (pow.f64 x 2))
(.f64 -1/2 (.f64 x x))
(+.f64 (.f64 -1/2 (pow.f64 x 2)) (.f64 5/24 (pow.f64 x 4)))
(fma.f64 -1/2 (.f64 x x) (.f64 5/24 (pow.f64 x 4)))
(.f64 (.f64 x x) (fma.f64 5/24 (*.f64 x x) -1/2))
(+.f64 (.f64 -1/2 (pow.f64 x 2)) (.f64 5/24 (pow.f64 x 4)))
(fma.f64 -1/2 (.f64 x x) (.f64 5/24 (pow.f64 x 4)))
(.f64 (.f64 x x) (fma.f64 5/24 (*.f64 x x) -1/2))
(+.f64 (.f64 -1/2 (pow.f64 x 2)) (.f64 5/24 (pow.f64 x 4)))
(fma.f64 -1/2 (.f64 x x) (.f64 5/24 (pow.f64 x 4)))
(.f64 (.f64 x x) (fma.f64 5/24 (*.f64 x x) -1/2))
(*.f64 5/24 (pow.f64 x 4))
(+.f64 (.f64 -1/2 (pow.f64 x 2)) (.f64 5/24 (pow.f64 x 4)))
(fma.f64 -1/2 (.f64 x x) (.f64 5/24 (pow.f64 x 4)))
(.f64 (.f64 x x) (fma.f64 5/24 (*.f64 x x) -1/2))
(+.f64 (.f64 -1/2 (pow.f64 x 2)) (.f64 5/24 (pow.f64 x 4)))
(fma.f64 -1/2 (.f64 x x) (.f64 5/24 (pow.f64 x 4)))
(.f64 (.f64 x x) (fma.f64 5/24 (*.f64 x x) -1/2))
(+.f64 (.f64 -1/2 (pow.f64 x 2)) (.f64 5/24 (pow.f64 x 4)))
(fma.f64 -1/2 (.f64 x x) (.f64 5/24 (pow.f64 x 4)))
(.f64 (.f64 x x) (fma.f64 5/24 (*.f64 x x) -1/2))
(*.f64 5/24 (pow.f64 x 4))
(+.f64 (.f64 -1/2 (pow.f64 x 2)) (.f64 5/24 (pow.f64 x 4)))
(fma.f64 -1/2 (.f64 x x) (.f64 5/24 (pow.f64 x 4)))
(.f64 (.f64 x x) (fma.f64 5/24 (*.f64 x x) -1/2))
(+.f64 (.f64 -1/2 (pow.f64 x 2)) (.f64 5/24 (pow.f64 x 4)))
(fma.f64 -1/2 (.f64 x x) (.f64 5/24 (pow.f64 x 4)))
(.f64 (.f64 x x) (fma.f64 5/24 (*.f64 x x) -1/2))
(+.f64 (.f64 -1/2 (pow.f64 x 2)) (.f64 5/24 (pow.f64 x 4)))
(fma.f64 -1/2 (.f64 x x) (.f64 5/24 (pow.f64 x 4)))
(.f64 (.f64 x x) (fma.f64 5/24 (*.f64 x x) -1/2))
(-.f64 (exp.f64 (log1p.f64 (.f64 -1/2 (.f64 x x)))) (-.f64 1 (*.f64 5/24 (pow.f64 x 4))))
(+.f64 (-.f64 (exp.f64 (log1p.f64 (.f64 -1/2 (.f64 x x)))) 1) (*.f64 5/24 (pow.f64 x 4)))
(fma.f64 5/24 (pow.f64 x 4) (expm1.f64 (log1p.f64 (.f64 -1/2 (.f64 x x)))))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 -1/2 (.f64 x x) (.f64 5/24 (pow.f64 x 4))))) 1)
(fma.f64 -1/2 (.f64 x x) (.f64 5/24 (pow.f64 x 4)))
(.f64 (.f64 x x) (fma.f64 5/24 (*.f64 x x) -1/2))
(-.f64 (exp.f64 (log1p.f64 (.f64 5/24 (pow.f64 x 4)))) (-.f64 1 (.f64 -1/2 (*.f64 x x))))
(-.f64 (exp.f64 (log1p.f64 (.f64 5/24 (pow.f64 x 4)))) (+.f64 1 (.f64 x (*.f64 x 1/2))))
(fma.f64 -1/2 (.f64 x x) (expm1.f64 (log1p.f64 (.f64 5/24 (pow.f64 x 4)))))
(-.f64 (/.f64 (.f64 (pow.f64 x 4) 1/4) (fma.f64 -1/2 (.f64 x x) (.f64 (pow.f64 x 4) -5/24))) (/.f64 (pow.f64 x 8) (/.f64 (fma.f64 -1/2 (.f64 x x) (*.f64 (pow.f64 x 4) -5/24)) 25/576)))
(-.f64 (/.f64 (pow.f64 x 4) (/.f64 (fma.f64 -1/2 (.f64 x x) (.f64 (pow.f64 x 4) -5/24)) 1/4)) (.f64 (/.f64 (pow.f64 x 8) (fma.f64 -1/2 (.f64 x x) (*.f64 (pow.f64 x 4) -5/24))) 25/576))
(+.f64 (/.f64 (.f64 (pow.f64 x 4) 1/4) (fma.f64 -1/2 (.f64 x x) (.f64 (pow.f64 x 4) -5/24))) (.f64 (/.f64 (pow.f64 x 8) (fma.f64 -1/2 (.f64 x x) (.f64 (pow.f64 x 4) -5/24))) -25/576))
(+.f64 (.f64 (pow.f64 x 4) (/.f64 1/4 (fma.f64 -1/2 (.f64 x x) (.f64 (pow.f64 x 4) -5/24)))) (.f64 (/.f64 (pow.f64 x 8) (fma.f64 -1/2 (.f64 x x) (.f64 (pow.f64 x 4) -5/24))) -25/576))
(-.f64 (+.f64 (.f64 -1/2 (.f64 x x)) (exp.f64 (log1p.f64 (*.f64 5/24 (pow.f64 x 4))))) 1)
(-.f64 (exp.f64 (log1p.f64 (.f64 5/24 (pow.f64 x 4)))) (+.f64 1 (.f64 x (*.f64 x 1/2))))
(fma.f64 -1/2 (.f64 x x) (expm1.f64 (log1p.f64 (.f64 5/24 (pow.f64 x 4)))))
(-.f64 (+.f64 (.f64 5/24 (pow.f64 x 4)) (exp.f64 (log1p.f64 (.f64 -1/2 (*.f64 x x))))) 1)
(+.f64 (-.f64 (exp.f64 (log1p.f64 (.f64 -1/2 (.f64 x x)))) 1) (*.f64 5/24 (pow.f64 x 4)))
(fma.f64 5/24 (pow.f64 x 4) (expm1.f64 (log1p.f64 (.f64 -1/2 (.f64 x x)))))
(.f64 (fma.f64 -1/2 (.f64 x x) (*.f64 5/24 (pow.f64 x 4))) 1)
(fma.f64 -1/2 (.f64 x x) (.f64 5/24 (pow.f64 x 4)))
(.f64 (.f64 x x) (fma.f64 5/24 (*.f64 x x) -1/2))
(.f64 1 (fma.f64 -1/2 (.f64 x x) (*.f64 5/24 (pow.f64 x 4))))
(fma.f64 -1/2 (.f64 x x) (.f64 5/24 (pow.f64 x 4)))
(.f64 (.f64 x x) (fma.f64 5/24 (*.f64 x x) -1/2))
(.f64 (sqrt.f64 (fma.f64 -1/2 (.f64 x x) (.f64 5/24 (pow.f64 x 4)))) (sqrt.f64 (fma.f64 -1/2 (.f64 x x) (*.f64 5/24 (pow.f64 x 4)))))
(fma.f64 -1/2 (.f64 x x) (.f64 5/24 (pow.f64 x 4)))
(.f64 (.f64 x x) (fma.f64 5/24 (*.f64 x x) -1/2))
(.f64 (cbrt.f64 (fma.f64 -1/2 (.f64 x x) (.f64 5/24 (pow.f64 x 4)))) (pow.f64 (cbrt.f64 (fma.f64 -1/2 (.f64 x x) (*.f64 5/24 (pow.f64 x 4)))) 2))
(fma.f64 -1/2 (.f64 x x) (.f64 5/24 (pow.f64 x 4)))
(.f64 (.f64 x x) (fma.f64 5/24 (*.f64 x x) -1/2))
(.f64 (pow.f64 (cbrt.f64 (fma.f64 -1/2 (.f64 x x) (.f64 5/24 (pow.f64 x 4)))) 2) (cbrt.f64 (fma.f64 -1/2 (.f64 x x) (*.f64 5/24 (pow.f64 x 4)))))
(fma.f64 -1/2 (.f64 x x) (.f64 5/24 (pow.f64 x 4)))
(.f64 (.f64 x x) (fma.f64 5/24 (*.f64 x x) -1/2))
(.f64 (.f64 x x) (+.f64 -1/2 (.f64 5/24 (.f64 x x))))
(fma.f64 -1/2 (.f64 x x) (.f64 5/24 (pow.f64 x 4)))
(.f64 (.f64 x x) (fma.f64 5/24 (*.f64 x x) -1/2))
(.f64 (.f64 x x) (+.f64 (.f64 5/24 (.f64 x x)) -1/2))
(fma.f64 -1/2 (.f64 x x) (.f64 5/24 (pow.f64 x 4)))
(.f64 (.f64 x x) (fma.f64 5/24 (*.f64 x x) -1/2))
(.f64 (+.f64 (.f64 (pow.f64 x 4) 1/4) (.f64 (pow.f64 x 8) -25/576)) (/.f64 1 (fma.f64 -1/2 (.f64 x x) (*.f64 (pow.f64 x 4) -5/24))))
(.f64 (fma.f64 (pow.f64 x 4) 1/4 (.f64 (pow.f64 x 8) -25/576)) (/.f64 1 (fma.f64 -1/2 (.f64 x x) (.f64 (pow.f64 x 4) -5/24))))
(/.f64 (fma.f64 (pow.f64 x 4) 1/4 (.f64 (pow.f64 x 8) -25/576)) (fma.f64 -1/2 (.f64 x x) (*.f64 (pow.f64 x 4) -5/24)))
(.f64 (+.f64 (pow.f64 (.f64 x (sqrt.f64 -1/2)) 6) (.f64 (pow.f64 (pow.f64 x 4) 3) 125/13824)) (/.f64 1 (+.f64 (.f64 (pow.f64 x 8) 25/576) (.f64 (pow.f64 x 4) (-.f64 1/4 (.f64 (.f64 -1/2 (.f64 x x)) 5/24))))))
(/.f64 (.f64 (+.f64 (pow.f64 (.f64 x (sqrt.f64 -1/2)) 6) (.f64 (pow.f64 (pow.f64 x 4) 3) 125/13824)) 1) (fma.f64 (pow.f64 x 8) 25/576 (.f64 (pow.f64 x 4) (-.f64 1/4 (.f64 5/24 (.f64 -1/2 (*.f64 x x)))))))
(/.f64 (fma.f64 (pow.f64 (pow.f64 x 4) 3) 125/13824 (pow.f64 (.f64 x (sqrt.f64 -1/2)) 6)) (fma.f64 (pow.f64 x 4) (-.f64 1/4 (.f64 (.f64 x x) -5/48)) (.f64 (pow.f64 x 8) 25/576)))
(.f64 (/.f64 1 (fma.f64 -1/2 (.f64 x x) (.f64 (pow.f64 x 4) -5/24))) (+.f64 (.f64 (pow.f64 x 4) 1/4) (*.f64 (pow.f64 x 8) -25/576)))
(.f64 (fma.f64 (pow.f64 x 4) 1/4 (.f64 (pow.f64 x 8) -25/576)) (/.f64 1 (fma.f64 -1/2 (.f64 x x) (.f64 (pow.f64 x 4) -5/24))))
(/.f64 (fma.f64 (pow.f64 x 4) 1/4 (.f64 (pow.f64 x 8) -25/576)) (fma.f64 -1/2 (.f64 x x) (*.f64 (pow.f64 x 4) -5/24)))
(.f64 (/.f64 1 (+.f64 (.f64 (pow.f64 x 8) 25/576) (.f64 (pow.f64 x 4) (-.f64 1/4 (.f64 (.f64 -1/2 (.f64 x x)) 5/24))))) (+.f64 (pow.f64 (.f64 x (sqrt.f64 -1/2)) 6) (.f64 (pow.f64 (pow.f64 x 4) 3) 125/13824)))
(/.f64 (.f64 (+.f64 (pow.f64 (.f64 x (sqrt.f64 -1/2)) 6) (.f64 (pow.f64 (pow.f64 x 4) 3) 125/13824)) 1) (fma.f64 (pow.f64 x 8) 25/576 (.f64 (pow.f64 x 4) (-.f64 1/4 (.f64 5/24 (.f64 -1/2 (*.f64 x x)))))))
(/.f64 (fma.f64 (pow.f64 (pow.f64 x 4) 3) 125/13824 (pow.f64 (.f64 x (sqrt.f64 -1/2)) 6)) (fma.f64 (pow.f64 x 4) (-.f64 1/4 (.f64 (.f64 x x) -5/48)) (.f64 (pow.f64 x 8) 25/576)))
(.f64 (/.f64 (+.f64 (.f64 (pow.f64 x 4) 1/4) (.f64 (pow.f64 x 8) -25/576)) (+.f64 (.f64 (pow.f64 x 4) 1/4) (.f64 (pow.f64 x 8) -25/576))) (fma.f64 -1/2 (.f64 x x) (*.f64 5/24 (pow.f64 x 4))))
(fma.f64 -1/2 (.f64 x x) (.f64 5/24 (pow.f64 x 4)))
(.f64 (.f64 x x) (fma.f64 5/24 (*.f64 x x) -1/2))
(.f64 (/.f64 (+.f64 (.f64 (pow.f64 x 4) 1/4) (.f64 (pow.f64 x 8) -25/576)) (+.f64 (pow.f64 (.f64 x (sqrt.f64 -1/2)) 6) (.f64 -125/13824 (pow.f64 (pow.f64 x 4) 3)))) (+.f64 (.f64 (pow.f64 x 4) 1/4) (.f64 (.f64 5/24 (pow.f64 x 4)) (fma.f64 -1/2 (.f64 x x) (.f64 5/24 (pow.f64 x 4))))))
(.f64 (/.f64 (fma.f64 (pow.f64 x 4) 1/4 (.f64 (pow.f64 x 8) -25/576)) (+.f64 (pow.f64 (.f64 x (sqrt.f64 -1/2)) 6) (.f64 (pow.f64 (pow.f64 x 4) 3) -125/13824))) (fma.f64 (pow.f64 x 4) 1/4 (.f64 5/24 (.f64 (pow.f64 x 4) (fma.f64 -1/2 (.f64 x x) (.f64 5/24 (pow.f64 x 4)))))))
(/.f64 (.f64 (fma.f64 (pow.f64 x 4) 1/4 (.f64 (pow.f64 x 8) -25/576)) (fma.f64 (pow.f64 x 4) 1/4 (.f64 (.f64 (.f64 (.f64 x x) (fma.f64 5/24 (.f64 x x) -1/2)) 5/24) (pow.f64 x 4)))) (fma.f64 (pow.f64 (pow.f64 x 4) 3) -125/13824 (pow.f64 (.f64 x (sqrt.f64 -1/2)) 6)))
(/.f64 (.f64 (fma.f64 (pow.f64 x 4) 1/4 (.f64 (pow.f64 x 8) -25/576)) (fma.f64 5/24 (.f64 (pow.f64 x 4) (.f64 (.f64 x x) (fma.f64 5/24 (.f64 x x) -1/2))) (.f64 (pow.f64 x 4) 1/4))) (fma.f64 (pow.f64 (pow.f64 x 4) 3) -125/13824 (pow.f64 (.f64 x (sqrt.f64 -1/2)) 6)))
(.f64 (/.f64 (+.f64 (pow.f64 (.f64 x (sqrt.f64 -1/2)) 6) (.f64 (pow.f64 (pow.f64 x 4) 3) 125/13824)) (-.f64 (.f64 1/16 (pow.f64 x 8)) (pow.f64 (+.f64 (.f64 (pow.f64 x 8) 25/576) (.f64 (.f64 -1/2 (.f64 x x)) (.f64 (pow.f64 x 4) -5/24))) 2))) (+.f64 (+.f64 (.f64 (pow.f64 x 4) 1/4) (.f64 (pow.f64 x 8) -25/576)) (.f64 -1/2 (.f64 (.f64 5/24 (pow.f64 x 4)) (*.f64 x x)))))
(/.f64 (.f64 (+.f64 (pow.f64 (.f64 x (sqrt.f64 -1/2)) 6) (.f64 (pow.f64 (pow.f64 x 4) 3) 125/13824)) (+.f64 (fma.f64 (pow.f64 x 4) 1/4 (.f64 (pow.f64 x 8) -25/576)) (.f64 -1/2 (.f64 5/24 (.f64 (pow.f64 x 4) (.f64 x x)))))) (-.f64 (.f64 (pow.f64 x 8) 1/16) (pow.f64 (fma.f64 (pow.f64 x 8) 25/576 (.f64 -1/2 (.f64 (.f64 x x) (*.f64 (pow.f64 x 4) -5/24)))) 2)))
(.f64 (/.f64 (fma.f64 (pow.f64 (pow.f64 x 4) 3) 125/13824 (pow.f64 (.f64 x (sqrt.f64 -1/2)) 6)) (-.f64 (.f64 (pow.f64 x 8) 1/16) (pow.f64 (fma.f64 (pow.f64 x 8) 25/576 (.f64 (pow.f64 x 4) (neg.f64 (.f64 (.f64 x x) -5/48)))) 2))) (fma.f64 (.f64 -5/48 (pow.f64 x 4)) (.f64 x x) (fma.f64 (pow.f64 x 4) 1/4 (*.f64 (pow.f64 x 8) -25/576))))
(/.f64 (.f64 (fma.f64 (pow.f64 (pow.f64 x 4) 3) 125/13824 (pow.f64 (.f64 x (sqrt.f64 -1/2)) 6)) (fma.f64 (pow.f64 x 4) 1/4 (fma.f64 (pow.f64 x 8) -25/576 (.f64 (.f64 x x) (.f64 -5/48 (pow.f64 x 4)))))) (-.f64 (.f64 (pow.f64 x 8) 1/16) (pow.f64 (fma.f64 (pow.f64 x 8) 25/576 (.f64 (pow.f64 x 4) (neg.f64 (.f64 (*.f64 x x) -5/48)))) 2)))
(.f64 (/.f64 (+.f64 (pow.f64 (.f64 x (sqrt.f64 -1/2)) 6) (.f64 (pow.f64 (pow.f64 x 4) 3) 125/13824)) (+.f64 (pow.f64 (.f64 (pow.f64 x 4) 1/4) 3) (pow.f64 (+.f64 (.f64 (pow.f64 x 8) 25/576) (.f64 (.f64 -1/2 (.f64 x x)) (.f64 (pow.f64 x 4) -5/24))) 3))) (+.f64 (.f64 1/16 (pow.f64 x 8)) (.f64 (+.f64 (.f64 (pow.f64 x 8) 25/576) (.f64 (.f64 -1/2 (.f64 x x)) (.f64 (pow.f64 x 4) -5/24))) (-.f64 (+.f64 (.f64 (pow.f64 x 8) 25/576) (.f64 (.f64 -1/2 (.f64 x x)) (.f64 (pow.f64 x 4) -5/24))) (.f64 (pow.f64 x 4) 1/4)))))
(.f64 (/.f64 (+.f64 (pow.f64 (.f64 x (sqrt.f64 -1/2)) 6) (.f64 (pow.f64 (pow.f64 x 4) 3) 125/13824)) (+.f64 (.f64 (pow.f64 (pow.f64 x 4) 3) 1/64) (pow.f64 (fma.f64 (pow.f64 x 8) 25/576 (.f64 -1/2 (.f64 (.f64 x x) (.f64 (pow.f64 x 4) -5/24)))) 3))) (fma.f64 1/16 (pow.f64 x 8) (.f64 (fma.f64 (pow.f64 x 8) 25/576 (.f64 -1/2 (.f64 (.f64 x x) (.f64 (pow.f64 x 4) -5/24)))) (-.f64 (fma.f64 (pow.f64 x 8) 25/576 (.f64 -1/2 (.f64 (.f64 x x) (.f64 (pow.f64 x 4) -5/24)))) (.f64 (pow.f64 x 4) 1/4)))))
(.f64 (/.f64 (fma.f64 (pow.f64 (pow.f64 x 4) 3) 125/13824 (pow.f64 (.f64 x (sqrt.f64 -1/2)) 6)) (fma.f64 (pow.f64 (pow.f64 x 4) 3) 1/64 (pow.f64 (fma.f64 (pow.f64 x 8) 25/576 (.f64 (pow.f64 x 4) (neg.f64 (.f64 (.f64 x x) -5/48)))) 3))) (fma.f64 (pow.f64 x 8) 1/16 (.f64 (fma.f64 (pow.f64 x 8) 25/576 (.f64 (pow.f64 x 4) (neg.f64 (.f64 (.f64 x x) -5/48)))) (fma.f64 (pow.f64 x 8) 25/576 (fma.f64 -1/2 (.f64 (.f64 (.f64 x x) -5/24) (pow.f64 x 4)) (*.f64 (pow.f64 x 4) -1/4))))))
(/.f64 (.f64 (fma.f64 (pow.f64 (pow.f64 x 4) 3) 125/13824 (pow.f64 (.f64 x (sqrt.f64 -1/2)) 6)) (fma.f64 (fma.f64 (pow.f64 x 8) 25/576 (.f64 (pow.f64 x 4) (neg.f64 (.f64 (.f64 x x) -5/48)))) (fma.f64 (pow.f64 x 8) 25/576 (fma.f64 -1/2 (.f64 (.f64 (.f64 x x) -5/24) (pow.f64 x 4)) (.f64 (pow.f64 x 4) -1/4))) (.f64 (pow.f64 x 8) 1/16))) (fma.f64 (pow.f64 (pow.f64 x 4) 3) 1/64 (pow.f64 (fma.f64 (pow.f64 x 8) 25/576 (.f64 (pow.f64 x 4) (neg.f64 (.f64 (*.f64 x x) -5/48)))) 3)))
(.f64 (.f64 (sqrt.f64 (cbrt.f64 (fma.f64 -1/2 (.f64 x x) (.f64 5/24 (pow.f64 x 4))))) (cbrt.f64 (fma.f64 -1/2 (.f64 x x) (.f64 5/24 (pow.f64 x 4))))) (.f64 (sqrt.f64 (cbrt.f64 (fma.f64 -1/2 (.f64 x x) (.f64 5/24 (pow.f64 x 4))))) (cbrt.f64 (fma.f64 -1/2 (.f64 x x) (*.f64 5/24 (pow.f64 x 4))))))
(fma.f64 -1/2 (.f64 x x) (.f64 5/24 (pow.f64 x 4)))
(.f64 (.f64 x x) (fma.f64 5/24 (*.f64 x x) -1/2))
(.f64 (.f64 (cbrt.f64 (sqrt.f64 (fma.f64 -1/2 (.f64 x x) (.f64 5/24 (pow.f64 x 4))))) (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 -1/2 (.f64 x x) (.f64 5/24 (pow.f64 x 4)))) 2))) (.f64 (cbrt.f64 (sqrt.f64 (fma.f64 -1/2 (.f64 x x) (.f64 5/24 (pow.f64 x 4))))) (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 -1/2 (.f64 x x) (*.f64 5/24 (pow.f64 x 4)))) 2))))
(.f64 (pow.f64 (cbrt.f64 (.f64 (.f64 x x) (fma.f64 5/24 (.f64 x x) -1/2))) 2) (.f64 (cbrt.f64 (sqrt.f64 (.f64 (.f64 x x) (fma.f64 5/24 (.f64 x x) -1/2)))) (cbrt.f64 (sqrt.f64 (.f64 (.f64 x x) (fma.f64 5/24 (*.f64 x x) -1/2))))))
(.f64 (.f64 (cbrt.f64 (fma.f64 -1/2 (.f64 x x) (.f64 5/24 (pow.f64 x 4)))) (sqrt.f64 (cbrt.f64 (fma.f64 -1/2 (.f64 x x) (.f64 5/24 (pow.f64 x 4)))))) (.f64 (cbrt.f64 (fma.f64 -1/2 (.f64 x x) (.f64 5/24 (pow.f64 x 4)))) (sqrt.f64 (cbrt.f64 (fma.f64 -1/2 (.f64 x x) (*.f64 5/24 (pow.f64 x 4)))))))
(fma.f64 -1/2 (.f64 x x) (.f64 5/24 (pow.f64 x 4)))
(.f64 (.f64 x x) (fma.f64 5/24 (*.f64 x x) -1/2))
(.f64 (.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 -1/2 (.f64 x x) (.f64 5/24 (pow.f64 x 4)))) 2)) (cbrt.f64 (sqrt.f64 (fma.f64 -1/2 (.f64 x x) (.f64 5/24 (pow.f64 x 4)))))) (.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 -1/2 (.f64 x x) (.f64 5/24 (pow.f64 x 4)))) 2)) (cbrt.f64 (sqrt.f64 (fma.f64 -1/2 (.f64 x x) (*.f64 5/24 (pow.f64 x 4)))))))
(.f64 (.f64 (cbrt.f64 (sqrt.f64 (fma.f64 -1/2 (.f64 x x) (.f64 5/24 (pow.f64 x 4))))) (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 -1/2 (.f64 x x) (.f64 5/24 (pow.f64 x 4)))) 2))) (.f64 (cbrt.f64 (sqrt.f64 (fma.f64 -1/2 (.f64 x x) (.f64 5/24 (pow.f64 x 4))))) (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 -1/2 (.f64 x x) (*.f64 5/24 (pow.f64 x 4)))) 2))))
(.f64 (pow.f64 (cbrt.f64 (.f64 (.f64 x x) (fma.f64 5/24 (.f64 x x) -1/2))) 2) (.f64 (cbrt.f64 (sqrt.f64 (.f64 (.f64 x x) (fma.f64 5/24 (.f64 x x) -1/2)))) (cbrt.f64 (sqrt.f64 (.f64 (.f64 x x) (fma.f64 5/24 (*.f64 x x) -1/2))))))
(.f64 (pow.f64 (cbrt.f64 (fma.f64 -1/2 (.f64 x x) (.f64 5/24 (pow.f64 x 4)))) 3/2) (pow.f64 (cbrt.f64 (fma.f64 -1/2 (.f64 x x) (*.f64 5/24 (pow.f64 x 4)))) 3/2))
(fma.f64 -1/2 (.f64 x x) (.f64 5/24 (pow.f64 x 4)))
(.f64 (.f64 x x) (fma.f64 5/24 (*.f64 x x) -1/2))
(.f64 (pow.f64 (pow.f64 (fma.f64 -1/2 (.f64 x x) (.f64 5/24 (pow.f64 x 4))) 3) 1/6) (pow.f64 (pow.f64 (fma.f64 -1/2 (.f64 x x) (*.f64 5/24 (pow.f64 x 4))) 3) 1/6))
(fma.f64 -1/2 (.f64 x x) (.f64 5/24 (pow.f64 x 4)))
(.f64 (.f64 x x) (fma.f64 5/24 (*.f64 x x) -1/2))
(/.f64 (fma.f64 -1/2 (.f64 x x) (.f64 5/24 (pow.f64 x 4))) (/.f64 (fma.f64 -1/2 (.f64 x x) (.f64 (pow.f64 x 4) -5/24)) (fma.f64 -1/2 (.f64 x x) (.f64 (pow.f64 x 4) -5/24))))
(fma.f64 -1/2 (.f64 x x) (.f64 5/24 (pow.f64 x 4)))
(.f64 (.f64 x x) (fma.f64 5/24 (*.f64 x x) -1/2))
(/.f64 1 (/.f64 1 (fma.f64 -1/2 (.f64 x x) (.f64 5/24 (pow.f64 x 4)))))
(fma.f64 -1/2 (.f64 x x) (.f64 5/24 (pow.f64 x 4)))
(.f64 (.f64 x x) (fma.f64 5/24 (*.f64 x x) -1/2))
(/.f64 (+.f64 (.f64 (pow.f64 x 4) 1/4) (.f64 (pow.f64 x 8) -25/576)) (fma.f64 -1/2 (.f64 x x) (.f64 (pow.f64 x 4) -5/24)))
(.f64 (fma.f64 (pow.f64 x 4) 1/4 (.f64 (pow.f64 x 8) -25/576)) (/.f64 1 (fma.f64 -1/2 (.f64 x x) (.f64 (pow.f64 x 4) -5/24))))
(/.f64 (fma.f64 (pow.f64 x 4) 1/4 (.f64 (pow.f64 x 8) -25/576)) (fma.f64 -1/2 (.f64 x x) (*.f64 (pow.f64 x 4) -5/24)))
(/.f64 (+.f64 (pow.f64 (.f64 x (sqrt.f64 -1/2)) 6) (.f64 (pow.f64 (pow.f64 x 4) 3) 125/13824)) (+.f64 (.f64 (pow.f64 x 8) 25/576) (.f64 (pow.f64 x 4) (-.f64 1/4 (.f64 (.f64 -1/2 (*.f64 x x)) 5/24)))))
(/.f64 (.f64 (+.f64 (pow.f64 (.f64 x (sqrt.f64 -1/2)) 6) (.f64 (pow.f64 (pow.f64 x 4) 3) 125/13824)) 1) (fma.f64 (pow.f64 x 8) 25/576 (.f64 (pow.f64 x 4) (-.f64 1/4 (.f64 5/24 (.f64 -1/2 (*.f64 x x)))))))
(/.f64 (fma.f64 (pow.f64 (pow.f64 x 4) 3) 125/13824 (pow.f64 (.f64 x (sqrt.f64 -1/2)) 6)) (fma.f64 (pow.f64 x 4) (-.f64 1/4 (.f64 (.f64 x x) -5/48)) (.f64 (pow.f64 x 8) 25/576)))
(/.f64 (+.f64 (.f64 (pow.f64 x 8) 25/576) (.f64 (pow.f64 x 4) (-.f64 1/4 (.f64 (.f64 -1/2 (.f64 x x)) 5/24)))) (/.f64 (+.f64 (.f64 (pow.f64 x 8) 25/576) (.f64 (pow.f64 x 4) (-.f64 1/4 (.f64 (.f64 -1/2 (.f64 x x)) 5/24)))) (fma.f64 -1/2 (.f64 x x) (.f64 5/24 (pow.f64 x 4)))))
(fma.f64 -1/2 (.f64 x x) (.f64 5/24 (pow.f64 x 4)))
(.f64 (.f64 x x) (fma.f64 5/24 (*.f64 x x) -1/2))
(/.f64 (sqrt.f64 (+.f64 (pow.f64 (.f64 x (sqrt.f64 -1/2)) 6) (.f64 (pow.f64 (pow.f64 x 4) 3) 125/13824))) (/.f64 (+.f64 (.f64 (pow.f64 x 8) 25/576) (.f64 (pow.f64 x 4) (-.f64 1/4 (.f64 (.f64 -1/2 (.f64 x x)) 5/24)))) (sqrt.f64 (+.f64 (pow.f64 (.f64 x (sqrt.f64 -1/2)) 6) (*.f64 (pow.f64 (pow.f64 x 4) 3) 125/13824)))))
(.f64 (/.f64 (sqrt.f64 (+.f64 (pow.f64 (.f64 x (sqrt.f64 -1/2)) 6) (.f64 (pow.f64 (pow.f64 x 4) 3) 125/13824))) (fma.f64 (pow.f64 x 8) 25/576 (.f64 (pow.f64 x 4) (-.f64 1/4 (.f64 5/24 (.f64 -1/2 (.f64 x x))))))) (sqrt.f64 (+.f64 (pow.f64 (.f64 x (sqrt.f64 -1/2)) 6) (*.f64 (pow.f64 (pow.f64 x 4) 3) 125/13824))))
(/.f64 (sqrt.f64 (fma.f64 (pow.f64 (pow.f64 x 4) 3) 125/13824 (pow.f64 (.f64 x (sqrt.f64 -1/2)) 6))) (/.f64 (fma.f64 (pow.f64 x 4) (-.f64 1/4 (.f64 (.f64 x x) -5/48)) (.f64 (pow.f64 x 8) 25/576)) (sqrt.f64 (fma.f64 (pow.f64 (pow.f64 x 4) 3) 125/13824 (pow.f64 (*.f64 x (sqrt.f64 -1/2)) 6)))))
(/.f64 (.f64 (sqrt.f64 (fma.f64 (pow.f64 (pow.f64 x 4) 3) 125/13824 (pow.f64 (.f64 x (sqrt.f64 -1/2)) 6))) (sqrt.f64 (fma.f64 (pow.f64 (pow.f64 x 4) 3) 125/13824 (pow.f64 (.f64 x (sqrt.f64 -1/2)) 6)))) (fma.f64 (pow.f64 x 4) (-.f64 1/4 (.f64 (.f64 x x) -5/48)) (.f64 (pow.f64 x 8) 25/576)))
(/.f64 (sqrt.f64 (+.f64 (.f64 (pow.f64 x 4) 1/4) (.f64 (pow.f64 x 8) -25/576))) (/.f64 (fma.f64 -1/2 (.f64 x x) (.f64 (pow.f64 x 4) -5/24)) (sqrt.f64 (+.f64 (.f64 (pow.f64 x 4) 1/4) (.f64 (pow.f64 x 8) -25/576)))))
(.f64 (/.f64 (sqrt.f64 (fma.f64 (pow.f64 x 4) 1/4 (.f64 (pow.f64 x 8) -25/576))) (fma.f64 -1/2 (.f64 x x) (.f64 (pow.f64 x 4) -5/24))) (sqrt.f64 (fma.f64 (pow.f64 x 4) 1/4 (*.f64 (pow.f64 x 8) -25/576))))
(.f64 (sqrt.f64 (fma.f64 (pow.f64 x 4) 1/4 (.f64 (pow.f64 x 8) -25/576))) (/.f64 (sqrt.f64 (fma.f64 (pow.f64 x 4) 1/4 (.f64 (pow.f64 x 8) -25/576))) (fma.f64 -1/2 (.f64 x x) (*.f64 (pow.f64 x 4) -5/24))))
(/.f64 (.f64 (cbrt.f64 (+.f64 (pow.f64 (.f64 x (sqrt.f64 -1/2)) 6) (.f64 (pow.f64 (pow.f64 x 4) 3) 125/13824))) (cbrt.f64 (+.f64 (pow.f64 (.f64 x (sqrt.f64 -1/2)) 6) (.f64 (pow.f64 (pow.f64 x 4) 3) 125/13824)))) (/.f64 (+.f64 (.f64 (pow.f64 x 8) 25/576) (.f64 (pow.f64 x 4) (-.f64 1/4 (.f64 (.f64 -1/2 (.f64 x x)) 5/24)))) (cbrt.f64 (+.f64 (pow.f64 (.f64 x (sqrt.f64 -1/2)) 6) (.f64 (pow.f64 (pow.f64 x 4) 3) 125/13824)))))
(.f64 (/.f64 (.f64 (cbrt.f64 (+.f64 (pow.f64 (.f64 x (sqrt.f64 -1/2)) 6) (.f64 (pow.f64 (pow.f64 x 4) 3) 125/13824))) (cbrt.f64 (+.f64 (pow.f64 (.f64 x (sqrt.f64 -1/2)) 6) (.f64 (pow.f64 (pow.f64 x 4) 3) 125/13824)))) (fma.f64 (pow.f64 x 8) 25/576 (.f64 (pow.f64 x 4) (-.f64 1/4 (.f64 5/24 (.f64 -1/2 (.f64 x x))))))) (cbrt.f64 (+.f64 (pow.f64 (.f64 x (sqrt.f64 -1/2)) 6) (.f64 (pow.f64 (pow.f64 x 4) 3) 125/13824))))
(.f64 (cbrt.f64 (fma.f64 (pow.f64 (pow.f64 x 4) 3) 125/13824 (pow.f64 (.f64 x (sqrt.f64 -1/2)) 6))) (/.f64 (.f64 (cbrt.f64 (fma.f64 (pow.f64 (pow.f64 x 4) 3) 125/13824 (pow.f64 (.f64 x (sqrt.f64 -1/2)) 6))) (cbrt.f64 (fma.f64 (pow.f64 (pow.f64 x 4) 3) 125/13824 (pow.f64 (.f64 x (sqrt.f64 -1/2)) 6)))) (fma.f64 (pow.f64 x 4) (-.f64 1/4 (.f64 (.f64 x x) -5/48)) (.f64 (pow.f64 x 8) 25/576))))
(.f64 (cbrt.f64 (fma.f64 (pow.f64 (pow.f64 x 4) 3) 125/13824 (pow.f64 (.f64 x (sqrt.f64 -1/2)) 6))) (.f64 (/.f64 (cbrt.f64 (fma.f64 (pow.f64 (pow.f64 x 4) 3) 125/13824 (pow.f64 (.f64 x (sqrt.f64 -1/2)) 6))) (fma.f64 (pow.f64 x 4) (-.f64 1/4 (.f64 (.f64 x x) -5/48)) (.f64 (pow.f64 x 8) 25/576))) (cbrt.f64 (fma.f64 (pow.f64 (pow.f64 x 4) 3) 125/13824 (pow.f64 (.f64 x (sqrt.f64 -1/2)) 6)))))
(/.f64 (.f64 (cbrt.f64 (+.f64 (.f64 (pow.f64 x 4) 1/4) (.f64 (pow.f64 x 8) -25/576))) (cbrt.f64 (+.f64 (.f64 (pow.f64 x 4) 1/4) (.f64 (pow.f64 x 8) -25/576)))) (/.f64 (fma.f64 -1/2 (.f64 x x) (.f64 (pow.f64 x 4) -5/24)) (cbrt.f64 (+.f64 (.f64 (pow.f64 x 4) 1/4) (*.f64 (pow.f64 x 8) -25/576)))))
(/.f64 (cbrt.f64 (fma.f64 (pow.f64 x 4) 1/4 (.f64 (pow.f64 x 8) -25/576))) (/.f64 (/.f64 (fma.f64 -1/2 (.f64 x x) (.f64 (pow.f64 x 4) -5/24)) (cbrt.f64 (fma.f64 (pow.f64 x 4) 1/4 (.f64 (pow.f64 x 8) -25/576)))) (cbrt.f64 (fma.f64 (pow.f64 x 4) 1/4 (*.f64 (pow.f64 x 8) -25/576)))))
(.f64 (cbrt.f64 (fma.f64 (pow.f64 x 4) 1/4 (.f64 (pow.f64 x 8) -25/576))) (/.f64 (cbrt.f64 (fma.f64 (pow.f64 x 4) 1/4 (.f64 (pow.f64 x 8) -25/576))) (/.f64 (fma.f64 -1/2 (.f64 x x) (.f64 (pow.f64 x 4) -5/24)) (cbrt.f64 (fma.f64 (pow.f64 x 4) 1/4 (.f64 (pow.f64 x 8) -25/576))))))
(.f64 (cbrt.f64 (fma.f64 (pow.f64 x 4) 1/4 (.f64 (pow.f64 x 8) -25/576))) (.f64 (/.f64 (cbrt.f64 (fma.f64 (pow.f64 x 4) 1/4 (.f64 (pow.f64 x 8) -25/576))) (fma.f64 -1/2 (.f64 x x) (.f64 (pow.f64 x 4) -5/24))) (cbrt.f64 (fma.f64 (pow.f64 x 4) 1/4 (*.f64 (pow.f64 x 8) -25/576)))))
(/.f64 (-.f64 (pow.f64 (.f64 -1/2 (.f64 x x)) 6) (.f64 (pow.f64 (pow.f64 x 4) 6) 15625/191102976)) (.f64 (+.f64 (.f64 (pow.f64 x 8) 25/576) (.f64 (pow.f64 x 4) (-.f64 1/4 (.f64 (.f64 -1/2 (.f64 x x)) 5/24)))) (+.f64 (pow.f64 (.f64 x (sqrt.f64 -1/2)) 6) (*.f64 -125/13824 (pow.f64 (pow.f64 x 4) 3)))))
(/.f64 (-.f64 (pow.f64 (.f64 -1/2 (.f64 x x)) 6) (.f64 (pow.f64 (pow.f64 x 4) 6) 15625/191102976)) (.f64 (fma.f64 (pow.f64 x 8) 25/576 (.f64 (pow.f64 x 4) (-.f64 1/4 (.f64 5/24 (.f64 -1/2 (.f64 x x)))))) (+.f64 (pow.f64 (.f64 x (sqrt.f64 -1/2)) 6) (.f64 (pow.f64 (pow.f64 x 4) 3) -125/13824))))
(/.f64 (+.f64 (pow.f64 (.f64 -1/2 (.f64 x x)) 6) (.f64 (pow.f64 (pow.f64 x 4) 6) -15625/191102976)) (.f64 (fma.f64 (pow.f64 x 4) (-.f64 1/4 (.f64 (.f64 x x) -5/48)) (.f64 (pow.f64 x 8) 25/576)) (fma.f64 (pow.f64 (pow.f64 x 4) 3) -125/13824 (pow.f64 (.f64 x (sqrt.f64 -1/2)) 6))))
(/.f64 (+.f64 (.f64 (pow.f64 x 8) 25/576) (.f64 -1/4 (pow.f64 x 4))) (+.f64 (.f64 5/24 (pow.f64 x 4)) (.f64 (*.f64 x x) 1/2)))
(/.f64 (fma.f64 (pow.f64 x 8) 25/576 (.f64 (pow.f64 x 4) -1/4)) (fma.f64 5/24 (pow.f64 x 4) (.f64 x (*.f64 x 1/2))))
(/.f64 (fma.f64 (pow.f64 x 4) -1/4 (.f64 (pow.f64 x 8) 25/576)) (fma.f64 5/24 (pow.f64 x 4) (.f64 x (*.f64 x 1/2))))
(/.f64 (-.f64 (.f64 1/16 (pow.f64 x 8)) (.f64 625/331776 (pow.f64 x 16))) (.f64 (fma.f64 -1/2 (.f64 x x) (.f64 (pow.f64 x 4) -5/24)) (+.f64 (.f64 (pow.f64 x 4) 1/4) (*.f64 (pow.f64 x 8) 25/576))))
(/.f64 (+.f64 (.f64 (pow.f64 x 8) 1/16) (.f64 -625/331776 (pow.f64 x 16))) (.f64 (fma.f64 -1/2 (.f64 x x) (.f64 (pow.f64 x 4) -5/24)) (fma.f64 (pow.f64 x 4) 1/4 (.f64 (pow.f64 x 8) 25/576))))
(/.f64 (fma.f64 (pow.f64 x 8) 1/16 (.f64 (pow.f64 x 16) -625/331776)) (.f64 (fma.f64 -1/2 (.f64 x x) (.f64 (pow.f64 x 4) -5/24)) (fma.f64 (pow.f64 x 4) 1/4 (*.f64 (pow.f64 x 8) 25/576))))
(/.f64 (/.f64 (fma.f64 (pow.f64 x 8) 1/16 (.f64 (pow.f64 x 16) -625/331776)) (fma.f64 -1/2 (.f64 x x) (.f64 (pow.f64 x 4) -5/24))) (fma.f64 (pow.f64 x 4) 1/4 (.f64 (pow.f64 x 8) 25/576)))
(/.f64 (+.f64 (pow.f64 (pow.f64 (.f64 x (sqrt.f64 -1/2)) 6) 3) (pow.f64 (.f64 (pow.f64 (pow.f64 x 4) 3) 125/13824) 3)) (.f64 (+.f64 (.f64 (pow.f64 x 8) 25/576) (.f64 (pow.f64 x 4) (-.f64 1/4 (.f64 (.f64 -1/2 (.f64 x x)) 5/24)))) (-.f64 (+.f64 (pow.f64 (.f64 -1/2 (.f64 x x)) 6) (.f64 (pow.f64 (pow.f64 x 4) 6) 15625/191102976)) (.f64 (pow.f64 (.f64 x (sqrt.f64 -1/2)) 6) (.f64 (pow.f64 (pow.f64 x 4) 3) 125/13824)))))
(/.f64 (+.f64 (pow.f64 (pow.f64 (.f64 x (sqrt.f64 -1/2)) 6) 3) (.f64 (pow.f64 (pow.f64 (pow.f64 x 4) 3) 3) 1953125/2641807540224)) (.f64 (fma.f64 (pow.f64 x 8) 25/576 (.f64 (pow.f64 x 4) (-.f64 1/4 (.f64 5/24 (.f64 -1/2 (.f64 x x)))))) (-.f64 (+.f64 (pow.f64 (.f64 -1/2 (.f64 x x)) 6) (.f64 (pow.f64 (pow.f64 x 4) 6) 15625/191102976)) (.f64 (pow.f64 (.f64 x (sqrt.f64 -1/2)) 6) (*.f64 (pow.f64 (pow.f64 x 4) 3) 125/13824)))))
(/.f64 (fma.f64 (pow.f64 (pow.f64 (pow.f64 x 4) 3) 3) 1953125/2641807540224 (pow.f64 (pow.f64 (.f64 x (sqrt.f64 -1/2)) 6) 3)) (.f64 (fma.f64 (pow.f64 x 4) (-.f64 1/4 (.f64 (.f64 x x) -5/48)) (.f64 (pow.f64 x 8) 25/576)) (+.f64 (pow.f64 (.f64 -1/2 (.f64 x x)) 6) (fma.f64 (pow.f64 (pow.f64 x 4) 6) 15625/191102976 (.f64 (pow.f64 (.f64 x (sqrt.f64 -1/2)) 6) (.f64 (pow.f64 (pow.f64 x 4) 3) -125/13824))))))
(/.f64 (fma.f64 (pow.f64 (pow.f64 (pow.f64 x 4) 3) 3) 1953125/2641807540224 (pow.f64 (pow.f64 (.f64 x (sqrt.f64 -1/2)) 6) 3)) (.f64 (fma.f64 (pow.f64 x 4) (-.f64 1/4 (.f64 (.f64 x x) -5/48)) (.f64 (pow.f64 x 8) 25/576)) (+.f64 (fma.f64 (pow.f64 (pow.f64 x 4) 6) 15625/191102976 (pow.f64 (.f64 -1/2 (.f64 x x)) 6)) (.f64 (pow.f64 (.f64 x (sqrt.f64 -1/2)) 6) (.f64 (pow.f64 (pow.f64 x 4) 3) -125/13824)))))
(/.f64 (-.f64 (pow.f64 (.f64 (pow.f64 x 4) 1/4) 3) (pow.f64 (.f64 (pow.f64 x 8) 25/576) 3)) (.f64 (fma.f64 -1/2 (.f64 x x) (.f64 (pow.f64 x 4) -5/24)) (+.f64 (+.f64 (.f64 1/16 (pow.f64 x 8)) (.f64 625/331776 (pow.f64 x 16))) (.f64 (.f64 (pow.f64 x 4) 1/4) (.f64 (pow.f64 x 8) 25/576)))))
(/.f64 (-.f64 (.f64 (pow.f64 (pow.f64 x 4) 3) 1/64) (pow.f64 (.f64 (pow.f64 x 8) 25/576) 3)) (.f64 (fma.f64 -1/2 (.f64 x x) (.f64 (pow.f64 x 4) -5/24)) (+.f64 (fma.f64 1/16 (pow.f64 x 8) (.f64 625/331776 (pow.f64 x 16))) (.f64 (pow.f64 x 4) (.f64 1/4 (*.f64 (pow.f64 x 8) 25/576))))))
(/.f64 (fma.f64 (pow.f64 (pow.f64 x 4) 3) 1/64 (.f64 (pow.f64 (pow.f64 x 4) 6) -15625/191102976)) (.f64 (fma.f64 -1/2 (.f64 x x) (.f64 (pow.f64 x 4) -5/24)) (fma.f64 (pow.f64 x 4) (.f64 25/2304 (pow.f64 x 8)) (fma.f64 (pow.f64 x 8) 1/16 (.f64 625/331776 (pow.f64 x 16))))))
(/.f64 (/.f64 (fma.f64 (pow.f64 (pow.f64 x 4) 3) 1/64 (.f64 (pow.f64 (pow.f64 x 4) 6) -15625/191102976)) (fma.f64 (pow.f64 x 4) (.f64 25/2304 (pow.f64 x 8)) (fma.f64 (pow.f64 x 8) 1/16 (.f64 625/331776 (pow.f64 x 16))))) (fma.f64 -1/2 (.f64 x x) (*.f64 (pow.f64 x 4) -5/24)))
(/.f64 (neg.f64 (+.f64 (.f64 (pow.f64 x 4) 1/4) (.f64 (pow.f64 x 8) -25/576))) (neg.f64 (fma.f64 -1/2 (.f64 x x) (.f64 (pow.f64 x 4) -5/24))))
(.f64 (fma.f64 (pow.f64 x 4) 1/4 (.f64 (pow.f64 x 8) -25/576)) (/.f64 1 (fma.f64 -1/2 (.f64 x x) (.f64 (pow.f64 x 4) -5/24))))
(/.f64 (fma.f64 (pow.f64 x 4) 1/4 (.f64 (pow.f64 x 8) -25/576)) (fma.f64 -1/2 (.f64 x x) (*.f64 (pow.f64 x 4) -5/24)))
(/.f64 (neg.f64 (+.f64 (pow.f64 (.f64 x (sqrt.f64 -1/2)) 6) (.f64 (pow.f64 (pow.f64 x 4) 3) 125/13824))) (neg.f64 (+.f64 (.f64 (pow.f64 x 8) 25/576) (.f64 (pow.f64 x 4) (-.f64 1/4 (.f64 (.f64 -1/2 (*.f64 x x)) 5/24))))))
(/.f64 (.f64 (+.f64 (pow.f64 (.f64 x (sqrt.f64 -1/2)) 6) (.f64 (pow.f64 (pow.f64 x 4) 3) 125/13824)) 1) (fma.f64 (pow.f64 x 8) 25/576 (.f64 (pow.f64 x 4) (-.f64 1/4 (.f64 5/24 (.f64 -1/2 (*.f64 x x)))))))
(/.f64 (fma.f64 (pow.f64 (pow.f64 x 4) 3) 125/13824 (pow.f64 (.f64 x (sqrt.f64 -1/2)) 6)) (fma.f64 (pow.f64 x 4) (-.f64 1/4 (.f64 (.f64 x x) -5/48)) (.f64 (pow.f64 x 8) 25/576)))
(/.f64 (.f64 (sqrt.f64 (fma.f64 -1/2 (.f64 x x) (.f64 5/24 (pow.f64 x 4)))) (sqrt.f64 (+.f64 (pow.f64 (.f64 x (sqrt.f64 -1/2)) 6) (.f64 (pow.f64 (pow.f64 x 4) 3) 125/13824)))) (sqrt.f64 (+.f64 (.f64 (pow.f64 x 8) 25/576) (.f64 (pow.f64 x 4) (-.f64 1/4 (.f64 (.f64 -1/2 (.f64 x x)) 5/24))))))
(/.f64 (.f64 (sqrt.f64 (fma.f64 -1/2 (.f64 x x) (.f64 5/24 (pow.f64 x 4)))) (sqrt.f64 (+.f64 (pow.f64 (.f64 x (sqrt.f64 -1/2)) 6) (.f64 (pow.f64 (pow.f64 x 4) 3) 125/13824)))) (sqrt.f64 (fma.f64 (pow.f64 x 8) 25/576 (.f64 (pow.f64 x 4) (-.f64 1/4 (.f64 5/24 (.f64 -1/2 (*.f64 x x))))))))
(.f64 (/.f64 (sqrt.f64 (.f64 (.f64 x x) (fma.f64 5/24 (.f64 x x) -1/2))) (sqrt.f64 (fma.f64 (pow.f64 x 4) (-.f64 1/4 (.f64 (.f64 x x) -5/48)) (.f64 (pow.f64 x 8) 25/576)))) (sqrt.f64 (fma.f64 (pow.f64 (pow.f64 x 4) 3) 125/13824 (pow.f64 (.f64 x (sqrt.f64 -1/2)) 6))))
(/.f64 (.f64 (sqrt.f64 (fma.f64 -1/2 (.f64 x x) (.f64 5/24 (pow.f64 x 4)))) (sqrt.f64 (+.f64 (.f64 (pow.f64 x 4) 1/4) (.f64 (pow.f64 x 8) -25/576)))) (sqrt.f64 (fma.f64 -1/2 (.f64 x x) (*.f64 (pow.f64 x 4) -5/24))))
(/.f64 (sqrt.f64 (fma.f64 -1/2 (.f64 x x) (.f64 5/24 (pow.f64 x 4)))) (/.f64 (sqrt.f64 (fma.f64 -1/2 (.f64 x x) (.f64 (pow.f64 x 4) -5/24))) (sqrt.f64 (fma.f64 (pow.f64 x 4) 1/4 (*.f64 (pow.f64 x 8) -25/576)))))
(/.f64 (sqrt.f64 (.f64 (.f64 x x) (fma.f64 5/24 (.f64 x x) -1/2))) (/.f64 (sqrt.f64 (fma.f64 -1/2 (.f64 x x) (.f64 (pow.f64 x 4) -5/24))) (sqrt.f64 (fma.f64 (pow.f64 x 4) 1/4 (.f64 (pow.f64 x 8) -25/576)))))
(.f64 (/.f64 (sqrt.f64 (.f64 (.f64 x x) (fma.f64 5/24 (.f64 x x) -1/2))) (sqrt.f64 (fma.f64 -1/2 (.f64 x x) (.f64 (pow.f64 x 4) -5/24)))) (sqrt.f64 (fma.f64 (pow.f64 x 4) 1/4 (*.f64 (pow.f64 x 8) -25/576))))
(/.f64 (.f64 (pow.f64 (cbrt.f64 (fma.f64 -1/2 (.f64 x x) (.f64 5/24 (pow.f64 x 4)))) 2) (cbrt.f64 (+.f64 (pow.f64 (.f64 x (sqrt.f64 -1/2)) 6) (.f64 (pow.f64 (pow.f64 x 4) 3) 125/13824)))) (cbrt.f64 (+.f64 (.f64 (pow.f64 x 8) 25/576) (.f64 (pow.f64 x 4) (-.f64 1/4 (.f64 (.f64 -1/2 (.f64 x x)) 5/24))))))
(/.f64 (.f64 (pow.f64 (cbrt.f64 (fma.f64 -1/2 (.f64 x x) (.f64 5/24 (pow.f64 x 4)))) 2) (cbrt.f64 (+.f64 (pow.f64 (.f64 x (sqrt.f64 -1/2)) 6) (.f64 (pow.f64 (pow.f64 x 4) 3) 125/13824)))) (cbrt.f64 (fma.f64 (pow.f64 x 8) 25/576 (.f64 (pow.f64 x 4) (-.f64 1/4 (.f64 5/24 (.f64 -1/2 (*.f64 x x))))))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (.f64 (.f64 x x) (fma.f64 5/24 (.f64 x x) -1/2))) 2) (cbrt.f64 (fma.f64 (pow.f64 x 4) (-.f64 1/4 (.f64 (.f64 x x) -5/48)) (.f64 (pow.f64 x 8) 25/576)))) (cbrt.f64 (fma.f64 (pow.f64 (pow.f64 x 4) 3) 125/13824 (pow.f64 (.f64 x (sqrt.f64 -1/2)) 6))))
(/.f64 (.f64 (pow.f64 (cbrt.f64 (fma.f64 -1/2 (.f64 x x) (.f64 5/24 (pow.f64 x 4)))) 2) (cbrt.f64 (+.f64 (.f64 (pow.f64 x 4) 1/4) (.f64 (pow.f64 x 8) -25/576)))) (cbrt.f64 (fma.f64 -1/2 (.f64 x x) (*.f64 (pow.f64 x 4) -5/24))))
(/.f64 (pow.f64 (cbrt.f64 (fma.f64 -1/2 (.f64 x x) (.f64 5/24 (pow.f64 x 4)))) 2) (/.f64 (cbrt.f64 (fma.f64 -1/2 (.f64 x x) (.f64 (pow.f64 x 4) -5/24))) (cbrt.f64 (fma.f64 (pow.f64 x 4) 1/4 (*.f64 (pow.f64 x 8) -25/576)))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (.f64 (.f64 x x) (fma.f64 5/24 (.f64 x x) -1/2))) 2) (cbrt.f64 (fma.f64 -1/2 (.f64 x x) (.f64 (pow.f64 x 4) -5/24)))) (cbrt.f64 (fma.f64 (pow.f64 x 4) 1/4 (*.f64 (pow.f64 x 8) -25/576))))
(/.f64 (.f64 (+.f64 (.f64 (pow.f64 x 8) 25/576) (.f64 -1/4 (pow.f64 x 4))) 1) (+.f64 (.f64 5/24 (pow.f64 x 4)) (.f64 (.f64 x x) 1/2)))
(/.f64 (fma.f64 (pow.f64 x 8) 25/576 (.f64 (pow.f64 x 4) -1/4)) (fma.f64 5/24 (pow.f64 x 4) (.f64 x (*.f64 x 1/2))))
(/.f64 (fma.f64 (pow.f64 x 4) -1/4 (.f64 (pow.f64 x 8) 25/576)) (fma.f64 5/24 (pow.f64 x 4) (.f64 x (*.f64 x 1/2))))
(/.f64 (.f64 (neg.f64 (+.f64 (.f64 (pow.f64 x 4) 1/4) (.f64 (pow.f64 x 8) -25/576))) 1) (neg.f64 (fma.f64 -1/2 (.f64 x x) (*.f64 (pow.f64 x 4) -5/24))))
(.f64 (fma.f64 (pow.f64 x 4) 1/4 (.f64 (pow.f64 x 8) -25/576)) (/.f64 1 (fma.f64 -1/2 (.f64 x x) (.f64 (pow.f64 x 4) -5/24))))
(/.f64 (fma.f64 (pow.f64 x 4) 1/4 (.f64 (pow.f64 x 8) -25/576)) (fma.f64 -1/2 (.f64 x x) (*.f64 (pow.f64 x 4) -5/24)))
(/.f64 (.f64 (neg.f64 (+.f64 (pow.f64 (.f64 x (sqrt.f64 -1/2)) 6) (.f64 (pow.f64 (pow.f64 x 4) 3) 125/13824))) 1) (neg.f64 (+.f64 (.f64 (pow.f64 x 8) 25/576) (.f64 (pow.f64 x 4) (-.f64 1/4 (.f64 (.f64 -1/2 (.f64 x x)) 5/24))))))
(/.f64 (.f64 (+.f64 (pow.f64 (.f64 x (sqrt.f64 -1/2)) 6) (.f64 (pow.f64 (pow.f64 x 4) 3) 125/13824)) 1) (fma.f64 (pow.f64 x 8) 25/576 (.f64 (pow.f64 x 4) (-.f64 1/4 (.f64 5/24 (.f64 -1/2 (*.f64 x x)))))))
(/.f64 (fma.f64 (pow.f64 (pow.f64 x 4) 3) 125/13824 (pow.f64 (.f64 x (sqrt.f64 -1/2)) 6)) (fma.f64 (pow.f64 x 4) (-.f64 1/4 (.f64 (.f64 x x) -5/48)) (.f64 (pow.f64 x 8) 25/576)))
(/.f64 (.f64 (sqrt.f64 (+.f64 (pow.f64 (.f64 x (sqrt.f64 -1/2)) 6) (.f64 (pow.f64 (pow.f64 x 4) 3) 125/13824))) (sqrt.f64 (fma.f64 -1/2 (.f64 x x) (.f64 5/24 (pow.f64 x 4))))) (sqrt.f64 (+.f64 (.f64 (pow.f64 x 8) 25/576) (.f64 (pow.f64 x 4) (-.f64 1/4 (.f64 (.f64 -1/2 (.f64 x x)) 5/24))))))
(/.f64 (.f64 (sqrt.f64 (fma.f64 -1/2 (.f64 x x) (.f64 5/24 (pow.f64 x 4)))) (sqrt.f64 (+.f64 (pow.f64 (.f64 x (sqrt.f64 -1/2)) 6) (.f64 (pow.f64 (pow.f64 x 4) 3) 125/13824)))) (sqrt.f64 (fma.f64 (pow.f64 x 8) 25/576 (.f64 (pow.f64 x 4) (-.f64 1/4 (.f64 5/24 (.f64 -1/2 (*.f64 x x))))))))
(.f64 (/.f64 (sqrt.f64 (.f64 (.f64 x x) (fma.f64 5/24 (.f64 x x) -1/2))) (sqrt.f64 (fma.f64 (pow.f64 x 4) (-.f64 1/4 (.f64 (.f64 x x) -5/48)) (.f64 (pow.f64 x 8) 25/576)))) (sqrt.f64 (fma.f64 (pow.f64 (pow.f64 x 4) 3) 125/13824 (pow.f64 (.f64 x (sqrt.f64 -1/2)) 6))))
(/.f64 (.f64 (sqrt.f64 (+.f64 (.f64 (pow.f64 x 4) 1/4) (.f64 (pow.f64 x 8) -25/576))) (sqrt.f64 (fma.f64 -1/2 (.f64 x x) (.f64 5/24 (pow.f64 x 4))))) (sqrt.f64 (fma.f64 -1/2 (.f64 x x) (*.f64 (pow.f64 x 4) -5/24))))
(/.f64 (sqrt.f64 (fma.f64 -1/2 (.f64 x x) (.f64 5/24 (pow.f64 x 4)))) (/.f64 (sqrt.f64 (fma.f64 -1/2 (.f64 x x) (.f64 (pow.f64 x 4) -5/24))) (sqrt.f64 (fma.f64 (pow.f64 x 4) 1/4 (*.f64 (pow.f64 x 8) -25/576)))))
(/.f64 (sqrt.f64 (.f64 (.f64 x x) (fma.f64 5/24 (.f64 x x) -1/2))) (/.f64 (sqrt.f64 (fma.f64 -1/2 (.f64 x x) (.f64 (pow.f64 x 4) -5/24))) (sqrt.f64 (fma.f64 (pow.f64 x 4) 1/4 (.f64 (pow.f64 x 8) -25/576)))))
(.f64 (/.f64 (sqrt.f64 (.f64 (.f64 x x) (fma.f64 5/24 (.f64 x x) -1/2))) (sqrt.f64 (fma.f64 -1/2 (.f64 x x) (.f64 (pow.f64 x 4) -5/24)))) (sqrt.f64 (fma.f64 (pow.f64 x 4) 1/4 (*.f64 (pow.f64 x 8) -25/576))))
(/.f64 (.f64 (cbrt.f64 (+.f64 (pow.f64 (.f64 x (sqrt.f64 -1/2)) 6) (.f64 (pow.f64 (pow.f64 x 4) 3) 125/13824))) (pow.f64 (cbrt.f64 (fma.f64 -1/2 (.f64 x x) (.f64 5/24 (pow.f64 x 4)))) 2)) (cbrt.f64 (+.f64 (.f64 (pow.f64 x 8) 25/576) (.f64 (pow.f64 x 4) (-.f64 1/4 (.f64 (.f64 -1/2 (.f64 x x)) 5/24))))))
(/.f64 (.f64 (pow.f64 (cbrt.f64 (fma.f64 -1/2 (.f64 x x) (.f64 5/24 (pow.f64 x 4)))) 2) (cbrt.f64 (+.f64 (pow.f64 (.f64 x (sqrt.f64 -1/2)) 6) (.f64 (pow.f64 (pow.f64 x 4) 3) 125/13824)))) (cbrt.f64 (fma.f64 (pow.f64 x 8) 25/576 (.f64 (pow.f64 x 4) (-.f64 1/4 (.f64 5/24 (.f64 -1/2 (*.f64 x x))))))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (.f64 (.f64 x x) (fma.f64 5/24 (.f64 x x) -1/2))) 2) (cbrt.f64 (fma.f64 (pow.f64 x 4) (-.f64 1/4 (.f64 (.f64 x x) -5/48)) (.f64 (pow.f64 x 8) 25/576)))) (cbrt.f64 (fma.f64 (pow.f64 (pow.f64 x 4) 3) 125/13824 (pow.f64 (.f64 x (sqrt.f64 -1/2)) 6))))
(/.f64 (.f64 (cbrt.f64 (+.f64 (.f64 (pow.f64 x 4) 1/4) (.f64 (pow.f64 x 8) -25/576))) (pow.f64 (cbrt.f64 (fma.f64 -1/2 (.f64 x x) (.f64 5/24 (pow.f64 x 4)))) 2)) (cbrt.f64 (fma.f64 -1/2 (.f64 x x) (*.f64 (pow.f64 x 4) -5/24))))
(/.f64 (pow.f64 (cbrt.f64 (fma.f64 -1/2 (.f64 x x) (.f64 5/24 (pow.f64 x 4)))) 2) (/.f64 (cbrt.f64 (fma.f64 -1/2 (.f64 x x) (.f64 (pow.f64 x 4) -5/24))) (cbrt.f64 (fma.f64 (pow.f64 x 4) 1/4 (*.f64 (pow.f64 x 8) -25/576)))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (.f64 (.f64 x x) (fma.f64 5/24 (.f64 x x) -1/2))) 2) (cbrt.f64 (fma.f64 -1/2 (.f64 x x) (.f64 (pow.f64 x 4) -5/24)))) (cbrt.f64 (fma.f64 (pow.f64 x 4) 1/4 (*.f64 (pow.f64 x 8) -25/576))))
(/.f64 (.f64 (-.f64 (.f64 1/16 (pow.f64 x 8)) (.f64 625/331776 (pow.f64 x 16))) (/.f64 1 (fma.f64 -1/2 (.f64 x x) (.f64 (pow.f64 x 4) -5/24)))) (+.f64 (.f64 (pow.f64 x 4) 1/4) (*.f64 (pow.f64 x 8) 25/576)))
(/.f64 (+.f64 (.f64 (pow.f64 x 8) 1/16) (.f64 -625/331776 (pow.f64 x 16))) (.f64 (fma.f64 -1/2 (.f64 x x) (.f64 (pow.f64 x 4) -5/24)) (fma.f64 (pow.f64 x 4) 1/4 (.f64 (pow.f64 x 8) 25/576))))
(/.f64 (fma.f64 (pow.f64 x 8) 1/16 (.f64 (pow.f64 x 16) -625/331776)) (.f64 (fma.f64 -1/2 (.f64 x x) (.f64 (pow.f64 x 4) -5/24)) (fma.f64 (pow.f64 x 4) 1/4 (*.f64 (pow.f64 x 8) 25/576))))
(/.f64 (/.f64 (fma.f64 (pow.f64 x 8) 1/16 (.f64 (pow.f64 x 16) -625/331776)) (fma.f64 -1/2 (.f64 x x) (.f64 (pow.f64 x 4) -5/24))) (fma.f64 (pow.f64 x 4) 1/4 (.f64 (pow.f64 x 8) 25/576)))
(/.f64 (.f64 (-.f64 (pow.f64 (.f64 (pow.f64 x 4) 1/4) 3) (pow.f64 (.f64 (pow.f64 x 8) 25/576) 3)) (/.f64 1 (fma.f64 -1/2 (.f64 x x) (.f64 (pow.f64 x 4) -5/24)))) (+.f64 (+.f64 (.f64 1/16 (pow.f64 x 8)) (.f64 625/331776 (pow.f64 x 16))) (.f64 (.f64 (pow.f64 x 4) 1/4) (.f64 (pow.f64 x 8) 25/576))))
(/.f64 (-.f64 (.f64 (pow.f64 (pow.f64 x 4) 3) 1/64) (pow.f64 (.f64 (pow.f64 x 8) 25/576) 3)) (.f64 (fma.f64 -1/2 (.f64 x x) (.f64 (pow.f64 x 4) -5/24)) (+.f64 (fma.f64 1/16 (pow.f64 x 8) (.f64 625/331776 (pow.f64 x 16))) (.f64 (pow.f64 x 4) (.f64 1/4 (*.f64 (pow.f64 x 8) 25/576))))))
(/.f64 (fma.f64 (pow.f64 (pow.f64 x 4) 3) 1/64 (.f64 (pow.f64 (pow.f64 x 4) 6) -15625/191102976)) (.f64 (fma.f64 -1/2 (.f64 x x) (.f64 (pow.f64 x 4) -5/24)) (fma.f64 (pow.f64 x 4) (.f64 25/2304 (pow.f64 x 8)) (fma.f64 (pow.f64 x 8) 1/16 (.f64 625/331776 (pow.f64 x 16))))))
(/.f64 (/.f64 (fma.f64 (pow.f64 (pow.f64 x 4) 3) 1/64 (.f64 (pow.f64 (pow.f64 x 4) 6) -15625/191102976)) (fma.f64 (pow.f64 x 4) (.f64 25/2304 (pow.f64 x 8)) (fma.f64 (pow.f64 x 8) 1/16 (.f64 625/331776 (pow.f64 x 16))))) (fma.f64 -1/2 (.f64 x x) (*.f64 (pow.f64 x 4) -5/24)))
(/.f64 (.f64 (-.f64 (pow.f64 (.f64 -1/2 (.f64 x x)) 6) (.f64 (pow.f64 (pow.f64 x 4) 6) 15625/191102976)) (/.f64 1 (+.f64 (.f64 (pow.f64 x 8) 25/576) (.f64 (pow.f64 x 4) (-.f64 1/4 (.f64 (.f64 -1/2 (.f64 x x)) 5/24)))))) (+.f64 (pow.f64 (.f64 x (sqrt.f64 -1/2)) 6) (*.f64 -125/13824 (pow.f64 (pow.f64 x 4) 3))))
(/.f64 (-.f64 (pow.f64 (.f64 -1/2 (.f64 x x)) 6) (.f64 (pow.f64 (pow.f64 x 4) 6) 15625/191102976)) (.f64 (fma.f64 (pow.f64 x 8) 25/576 (.f64 (pow.f64 x 4) (-.f64 1/4 (.f64 5/24 (.f64 -1/2 (.f64 x x)))))) (+.f64 (pow.f64 (.f64 x (sqrt.f64 -1/2)) 6) (.f64 (pow.f64 (pow.f64 x 4) 3) -125/13824))))
(/.f64 (+.f64 (pow.f64 (.f64 -1/2 (.f64 x x)) 6) (.f64 (pow.f64 (pow.f64 x 4) 6) -15625/191102976)) (.f64 (fma.f64 (pow.f64 x 4) (-.f64 1/4 (.f64 (.f64 x x) -5/48)) (.f64 (pow.f64 x 8) 25/576)) (fma.f64 (pow.f64 (pow.f64 x 4) 3) -125/13824 (pow.f64 (.f64 x (sqrt.f64 -1/2)) 6))))
(/.f64 (.f64 (+.f64 (pow.f64 (pow.f64 (.f64 x (sqrt.f64 -1/2)) 6) 3) (pow.f64 (.f64 (pow.f64 (pow.f64 x 4) 3) 125/13824) 3)) (/.f64 1 (+.f64 (.f64 (pow.f64 x 8) 25/576) (.f64 (pow.f64 x 4) (-.f64 1/4 (.f64 (.f64 -1/2 (.f64 x x)) 5/24)))))) (-.f64 (+.f64 (pow.f64 (.f64 -1/2 (.f64 x x)) 6) (.f64 (pow.f64 (pow.f64 x 4) 6) 15625/191102976)) (.f64 (pow.f64 (.f64 x (sqrt.f64 -1/2)) 6) (.f64 (pow.f64 (pow.f64 x 4) 3) 125/13824))))
(/.f64 (+.f64 (pow.f64 (pow.f64 (.f64 x (sqrt.f64 -1/2)) 6) 3) (.f64 (pow.f64 (pow.f64 (pow.f64 x 4) 3) 3) 1953125/2641807540224)) (.f64 (fma.f64 (pow.f64 x 8) 25/576 (.f64 (pow.f64 x 4) (-.f64 1/4 (.f64 5/24 (.f64 -1/2 (.f64 x x)))))) (-.f64 (+.f64 (pow.f64 (.f64 -1/2 (.f64 x x)) 6) (.f64 (pow.f64 (pow.f64 x 4) 6) 15625/191102976)) (.f64 (pow.f64 (.f64 x (sqrt.f64 -1/2)) 6) (*.f64 (pow.f64 (pow.f64 x 4) 3) 125/13824)))))
(/.f64 (fma.f64 (pow.f64 (pow.f64 (pow.f64 x 4) 3) 3) 1953125/2641807540224 (pow.f64 (pow.f64 (.f64 x (sqrt.f64 -1/2)) 6) 3)) (.f64 (fma.f64 (pow.f64 x 4) (-.f64 1/4 (.f64 (.f64 x x) -5/48)) (.f64 (pow.f64 x 8) 25/576)) (+.f64 (pow.f64 (.f64 -1/2 (.f64 x x)) 6) (fma.f64 (pow.f64 (pow.f64 x 4) 6) 15625/191102976 (.f64 (pow.f64 (.f64 x (sqrt.f64 -1/2)) 6) (.f64 (pow.f64 (pow.f64 x 4) 3) -125/13824))))))
(/.f64 (fma.f64 (pow.f64 (pow.f64 (pow.f64 x 4) 3) 3) 1953125/2641807540224 (pow.f64 (pow.f64 (.f64 x (sqrt.f64 -1/2)) 6) 3)) (.f64 (fma.f64 (pow.f64 x 4) (-.f64 1/4 (.f64 (.f64 x x) -5/48)) (.f64 (pow.f64 x 8) 25/576)) (+.f64 (fma.f64 (pow.f64 (pow.f64 x 4) 6) 15625/191102976 (pow.f64 (.f64 -1/2 (.f64 x x)) 6)) (.f64 (pow.f64 (.f64 x (sqrt.f64 -1/2)) 6) (.f64 (pow.f64 (pow.f64 x 4) 3) -125/13824)))))
(/.f64 (/.f64 (+.f64 (.f64 (pow.f64 x 4) 1/4) (.f64 (pow.f64 x 8) -25/576)) 1) (fma.f64 -1/2 (.f64 x x) (.f64 (pow.f64 x 4) -5/24)))
(.f64 (fma.f64 (pow.f64 x 4) 1/4 (.f64 (pow.f64 x 8) -25/576)) (/.f64 1 (fma.f64 -1/2 (.f64 x x) (.f64 (pow.f64 x 4) -5/24))))
(/.f64 (fma.f64 (pow.f64 x 4) 1/4 (.f64 (pow.f64 x 8) -25/576)) (fma.f64 -1/2 (.f64 x x) (*.f64 (pow.f64 x 4) -5/24)))
(/.f64 (/.f64 (+.f64 (.f64 (pow.f64 x 4) 1/4) (.f64 (pow.f64 x 8) -25/576)) (sqrt.f64 (fma.f64 -1/2 (.f64 x x) (.f64 (pow.f64 x 4) -5/24)))) (sqrt.f64 (fma.f64 -1/2 (.f64 x x) (.f64 (pow.f64 x 4) -5/24))))
(.f64 (fma.f64 (pow.f64 x 4) 1/4 (.f64 (pow.f64 x 8) -25/576)) (/.f64 1 (fma.f64 -1/2 (.f64 x x) (.f64 (pow.f64 x 4) -5/24))))
(/.f64 (fma.f64 (pow.f64 x 4) 1/4 (.f64 (pow.f64 x 8) -25/576)) (fma.f64 -1/2 (.f64 x x) (*.f64 (pow.f64 x 4) -5/24)))
(/.f64 (/.f64 (+.f64 (.f64 (pow.f64 x 4) 1/4) (.f64 (pow.f64 x 8) -25/576)) (.f64 (cbrt.f64 (fma.f64 -1/2 (.f64 x x) (.f64 (pow.f64 x 4) -5/24))) (cbrt.f64 (fma.f64 -1/2 (.f64 x x) (.f64 (pow.f64 x 4) -5/24))))) (cbrt.f64 (fma.f64 -1/2 (.f64 x x) (*.f64 (pow.f64 x 4) -5/24))))
(.f64 (fma.f64 (pow.f64 x 4) 1/4 (.f64 (pow.f64 x 8) -25/576)) (/.f64 1 (fma.f64 -1/2 (.f64 x x) (.f64 (pow.f64 x 4) -5/24))))
(/.f64 (fma.f64 (pow.f64 x 4) 1/4 (.f64 (pow.f64 x 8) -25/576)) (fma.f64 -1/2 (.f64 x x) (*.f64 (pow.f64 x 4) -5/24)))
(/.f64 (/.f64 (+.f64 (.f64 (pow.f64 x 4) 1/4) (.f64 (pow.f64 x 8) -25/576)) (+.f64 (.f64 x (sqrt.f64 -1/2)) (.f64 (sqrt.f64 5/24) (.f64 x x)))) (-.f64 (.f64 x (sqrt.f64 -1/2)) (.f64 (sqrt.f64 5/24) (.f64 x x))))
(/.f64 (fma.f64 (pow.f64 x 4) 1/4 (.f64 (pow.f64 x 8) -25/576)) (.f64 (-.f64 (.f64 x (sqrt.f64 -1/2)) (.f64 (.f64 x x) (sqrt.f64 5/24))) (fma.f64 x (sqrt.f64 -1/2) (.f64 (*.f64 x x) (sqrt.f64 5/24)))))
(/.f64 (/.f64 (fma.f64 (pow.f64 x 4) 1/4 (.f64 (pow.f64 x 8) -25/576)) (.f64 x (-.f64 (sqrt.f64 -1/2) (.f64 x (sqrt.f64 5/24))))) (.f64 x (+.f64 (sqrt.f64 -1/2) (*.f64 x (sqrt.f64 5/24)))))
(/.f64 (fma.f64 (pow.f64 x 4) 1/4 (.f64 (pow.f64 x 8) -25/576)) (.f64 (.f64 x (+.f64 (sqrt.f64 -1/2) (.f64 x (sqrt.f64 5/24)))) (.f64 x (-.f64 (sqrt.f64 -1/2) (.f64 x (sqrt.f64 5/24))))))
(/.f64 (/.f64 (+.f64 (pow.f64 (.f64 x (sqrt.f64 -1/2)) 6) (.f64 (pow.f64 (pow.f64 x 4) 3) 125/13824)) 1) (+.f64 (.f64 (pow.f64 x 8) 25/576) (.f64 (pow.f64 x 4) (-.f64 1/4 (.f64 (.f64 -1/2 (*.f64 x x)) 5/24)))))
(/.f64 (.f64 (+.f64 (pow.f64 (.f64 x (sqrt.f64 -1/2)) 6) (.f64 (pow.f64 (pow.f64 x 4) 3) 125/13824)) 1) (fma.f64 (pow.f64 x 8) 25/576 (.f64 (pow.f64 x 4) (-.f64 1/4 (.f64 5/24 (.f64 -1/2 (*.f64 x x)))))))
(/.f64 (fma.f64 (pow.f64 (pow.f64 x 4) 3) 125/13824 (pow.f64 (.f64 x (sqrt.f64 -1/2)) 6)) (fma.f64 (pow.f64 x 4) (-.f64 1/4 (.f64 (.f64 x x) -5/48)) (.f64 (pow.f64 x 8) 25/576)))
(/.f64 (/.f64 (+.f64 (pow.f64 (.f64 x (sqrt.f64 -1/2)) 6) (.f64 (pow.f64 (pow.f64 x 4) 3) 125/13824)) (sqrt.f64 (+.f64 (.f64 (pow.f64 x 8) 25/576) (.f64 (pow.f64 x 4) (-.f64 1/4 (.f64 (.f64 -1/2 (.f64 x x)) 5/24)))))) (sqrt.f64 (+.f64 (.f64 (pow.f64 x 8) 25/576) (.f64 (pow.f64 x 4) (-.f64 1/4 (.f64 (.f64 -1/2 (.f64 x x)) 5/24))))))
(/.f64 (.f64 (+.f64 (pow.f64 (.f64 x (sqrt.f64 -1/2)) 6) (.f64 (pow.f64 (pow.f64 x 4) 3) 125/13824)) 1) (fma.f64 (pow.f64 x 8) 25/576 (.f64 (pow.f64 x 4) (-.f64 1/4 (.f64 5/24 (.f64 -1/2 (*.f64 x x)))))))
(/.f64 (fma.f64 (pow.f64 (pow.f64 x 4) 3) 125/13824 (pow.f64 (.f64 x (sqrt.f64 -1/2)) 6)) (fma.f64 (pow.f64 x 4) (-.f64 1/4 (.f64 (.f64 x x) -5/48)) (.f64 (pow.f64 x 8) 25/576)))
(/.f64 (/.f64 (+.f64 (pow.f64 (.f64 x (sqrt.f64 -1/2)) 6) (.f64 (pow.f64 (pow.f64 x 4) 3) 125/13824)) (.f64 (cbrt.f64 (+.f64 (.f64 (pow.f64 x 8) 25/576) (.f64 (pow.f64 x 4) (-.f64 1/4 (.f64 (.f64 -1/2 (.f64 x x)) 5/24))))) (cbrt.f64 (+.f64 (.f64 (pow.f64 x 8) 25/576) (.f64 (pow.f64 x 4) (-.f64 1/4 (.f64 (.f64 -1/2 (.f64 x x)) 5/24))))))) (cbrt.f64 (+.f64 (.f64 (pow.f64 x 8) 25/576) (.f64 (pow.f64 x 4) (-.f64 1/4 (.f64 (.f64 -1/2 (.f64 x x)) 5/24))))))
(/.f64 (.f64 (+.f64 (pow.f64 (.f64 x (sqrt.f64 -1/2)) 6) (.f64 (pow.f64 (pow.f64 x 4) 3) 125/13824)) 1) (fma.f64 (pow.f64 x 8) 25/576 (.f64 (pow.f64 x 4) (-.f64 1/4 (.f64 5/24 (.f64 -1/2 (*.f64 x x)))))))
(/.f64 (fma.f64 (pow.f64 (pow.f64 x 4) 3) 125/13824 (pow.f64 (.f64 x (sqrt.f64 -1/2)) 6)) (fma.f64 (pow.f64 x 4) (-.f64 1/4 (.f64 (.f64 x x) -5/48)) (.f64 (pow.f64 x 8) 25/576)))
(pow.f64 (fma.f64 -1/2 (.f64 x x) (.f64 5/24 (pow.f64 x 4))) 1)
(fma.f64 -1/2 (.f64 x x) (.f64 5/24 (pow.f64 x 4)))
(.f64 (.f64 x x) (fma.f64 5/24 (*.f64 x x) -1/2))
(pow.f64 (sqrt.f64 (fma.f64 -1/2 (.f64 x x) (.f64 5/24 (pow.f64 x 4)))) 2)
(fma.f64 -1/2 (.f64 x x) (.f64 5/24 (pow.f64 x 4)))
(.f64 (.f64 x x) (fma.f64 5/24 (*.f64 x x) -1/2))
(pow.f64 (cbrt.f64 (fma.f64 -1/2 (.f64 x x) (.f64 5/24 (pow.f64 x 4)))) 3)
(fma.f64 -1/2 (.f64 x x) (.f64 5/24 (pow.f64 x 4)))
(.f64 (.f64 x x) (fma.f64 5/24 (*.f64 x x) -1/2))
(pow.f64 (pow.f64 (fma.f64 -1/2 (.f64 x x) (.f64 5/24 (pow.f64 x 4))) 3) 1/3)
(fma.f64 -1/2 (.f64 x x) (.f64 5/24 (pow.f64 x 4)))
(.f64 (.f64 x x) (fma.f64 5/24 (*.f64 x x) -1/2))
(neg.f64 (/.f64 (+.f64 (.f64 (pow.f64 x 4) 1/4) (.f64 (pow.f64 x 8) -25/576)) (neg.f64 (fma.f64 -1/2 (.f64 x x) (.f64 (pow.f64 x 4) -5/24)))))
(.f64 (fma.f64 (pow.f64 x 4) 1/4 (.f64 (pow.f64 x 8) -25/576)) (/.f64 1 (fma.f64 -1/2 (.f64 x x) (.f64 (pow.f64 x 4) -5/24))))
(/.f64 (fma.f64 (pow.f64 x 4) 1/4 (.f64 (pow.f64 x 8) -25/576)) (fma.f64 -1/2 (.f64 x x) (*.f64 (pow.f64 x 4) -5/24)))
(neg.f64 (/.f64 (+.f64 (pow.f64 (.f64 x (sqrt.f64 -1/2)) 6) (.f64 (pow.f64 (pow.f64 x 4) 3) 125/13824)) (neg.f64 (+.f64 (.f64 (pow.f64 x 8) 25/576) (.f64 (pow.f64 x 4) (-.f64 1/4 (.f64 (.f64 -1/2 (*.f64 x x)) 5/24)))))))
(/.f64 (.f64 (+.f64 (pow.f64 (.f64 x (sqrt.f64 -1/2)) 6) (.f64 (pow.f64 (pow.f64 x 4) 3) 125/13824)) 1) (fma.f64 (pow.f64 x 8) 25/576 (.f64 (pow.f64 x 4) (-.f64 1/4 (.f64 5/24 (.f64 -1/2 (*.f64 x x)))))))
(/.f64 (fma.f64 (pow.f64 (pow.f64 x 4) 3) 125/13824 (pow.f64 (.f64 x (sqrt.f64 -1/2)) 6)) (fma.f64 (pow.f64 x 4) (-.f64 1/4 (.f64 (.f64 x x) -5/48)) (.f64 (pow.f64 x 8) 25/576)))
(sqrt.f64 (pow.f64 (fma.f64 -1/2 (.f64 x x) (.f64 5/24 (pow.f64 x 4))) 2))
(fabs.f64 (.f64 (.f64 x x) (fma.f64 5/24 (*.f64 x x) -1/2)))
(log.f64 (exp.f64 (fma.f64 -1/2 (.f64 x x) (.f64 5/24 (pow.f64 x 4)))))
(fma.f64 -1/2 (.f64 x x) (.f64 5/24 (pow.f64 x 4)))
(.f64 (.f64 x x) (fma.f64 5/24 (*.f64 x x) -1/2))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 -1/2 (.f64 x x) (.f64 5/24 (pow.f64 x 4))))))
(fma.f64 -1/2 (.f64 x x) (.f64 5/24 (pow.f64 x 4)))
(.f64 (.f64 x x) (fma.f64 5/24 (*.f64 x x) -1/2))
(cbrt.f64 (pow.f64 (fma.f64 -1/2 (.f64 x x) (.f64 5/24 (pow.f64 x 4))) 3))
(fma.f64 -1/2 (.f64 x x) (.f64 5/24 (pow.f64 x 4)))
(.f64 (.f64 x x) (fma.f64 5/24 (*.f64 x x) -1/2))
(expm1.f64 (log1p.f64 (fma.f64 -1/2 (.f64 x x) (.f64 5/24 (pow.f64 x 4)))))
(fma.f64 -1/2 (.f64 x x) (.f64 5/24 (pow.f64 x 4)))
(.f64 (.f64 x x) (fma.f64 5/24 (*.f64 x x) -1/2))
(exp.f64 (log.f64 (fma.f64 -1/2 (.f64 x x) (.f64 5/24 (pow.f64 x 4)))))
(fma.f64 -1/2 (.f64 x x) (.f64 5/24 (pow.f64 x 4)))
(.f64 (.f64 x x) (fma.f64 5/24 (*.f64 x x) -1/2))
(log1p.f64 (expm1.f64 (fma.f64 -1/2 (.f64 x x) (.f64 5/24 (pow.f64 x 4)))))
(fma.f64 -1/2 (.f64 x x) (.f64 5/24 (pow.f64 x 4)))
(.f64 (.f64 x x) (fma.f64 5/24 (*.f64 x x) -1/2))
(fma.f64 -1/2 (.f64 x x) (.f64 5/24 (pow.f64 x 4)))
(.f64 (.f64 x x) (fma.f64 5/24 (*.f64 x x) -1/2))
(fma.f64 x (.f64 -1/2 x) (.f64 5/24 (pow.f64 x 4)))
(fma.f64 -1/2 (.f64 x x) (.f64 5/24 (pow.f64 x 4)))
(.f64 (.f64 x x) (fma.f64 5/24 (*.f64 x x) -1/2))
(fma.f64 (.f64 -1/2 x) x (.f64 5/24 (pow.f64 x 4)))
(fma.f64 -1/2 (.f64 x x) (.f64 5/24 (pow.f64 x 4)))
(.f64 (.f64 x x) (fma.f64 5/24 (*.f64 x x) -1/2))
(fma.f64 5/24 (pow.f64 x 4) (.f64 -1/2 (.f64 x x)))
(fma.f64 -1/2 (.f64 x x) (.f64 5/24 (pow.f64 x 4)))
(.f64 (.f64 x x) (fma.f64 5/24 (*.f64 x x) -1/2))
(fma.f64 (pow.f64 x 4) 5/24 (.f64 -1/2 (.f64 x x)))
(fma.f64 -1/2 (.f64 x x) (.f64 5/24 (pow.f64 x 4)))
(.f64 (.f64 x x) (fma.f64 5/24 (*.f64 x x) -1/2))
(fma.f64 1 (.f64 -1/2 (.f64 x x)) (*.f64 5/24 (pow.f64 x 4)))
(fma.f64 -1/2 (.f64 x x) (.f64 5/24 (pow.f64 x 4)))
(.f64 (.f64 x x) (fma.f64 5/24 (*.f64 x x) -1/2))
(fma.f64 1 (.f64 5/24 (pow.f64 x 4)) (.f64 -1/2 (*.f64 x x)))
(fma.f64 -1/2 (.f64 x x) (.f64 5/24 (pow.f64 x 4)))
(.f64 (.f64 x x) (fma.f64 5/24 (*.f64 x x) -1/2))
(fma.f64 (.f64 x (sqrt.f64 -1/2)) (.f64 x (sqrt.f64 -1/2)) (*.f64 5/24 (pow.f64 x 4)))
(fma.f64 (.f64 (sqrt.f64 5/24) (.f64 x x)) (.f64 (sqrt.f64 5/24) (.f64 x x)) (.f64 -1/2 (.f64 x x)))
(fma.f64 (.f64 (.f64 x x) (sqrt.f64 5/24)) (.f64 (.f64 x x) (sqrt.f64 5/24)) (.f64 -1/2 (.f64 x x)))
(+.f64 (.f64 -1/2 (.f64 x x)) (.f64 (pow.f64 x 4) (.f64 (sqrt.f64 5/24) (sqrt.f64 5/24))))
(fma.f64 (cbrt.f64 (.f64 (pow.f64 x 4) 1/4)) (cbrt.f64 (.f64 -1/2 (.f64 x x))) (.f64 5/24 (pow.f64 x 4)))
(fma.f64 (cbrt.f64 (.f64 (pow.f64 x 8) 25/576)) (cbrt.f64 (.f64 5/24 (pow.f64 x 4))) (.f64 -1/2 (.f64 x x)))

localize4.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.8b	(/.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))

rewrite60.0ms (1.2%)

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))))))))

simplify46.0ms (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))

eval234.0ms (4.7%)

Compiler: Compiled 8383 to 6152 computations (26.6% saved)

prune59.0ms (1.2%)

Pruning

10 alts after pruning (6 fresh and 4 done)

	Pruned	Kept	Total
New	352	5	357
Fresh	0	1	1
Picked	0	1	1
Done	2	3	5
Total	354	10	364

Error

Counts

364 → 10

Alt Table

Click to see full alt table

Status	Error	Program
▶	0.0b	(pow.f64 (pow.f64 (cosh.f64 x) -3) 1/3)
▶	0.0b	(/.f64 (pow.f64 (cosh.f64 x) -1/2) (sqrt.f64 (cosh.f64 x)))
✓	14.0b	(/.f64 2 (+.f64 2 (*.f64 x x)))
✓	47.7b	(/.f64 2 (*.f64 x x))
✓	0.0b	(/.f64 1 (cosh.f64 x))
▶	34.5b	(-.f64 (+.f64 1 (/.f64 2 (*.f64 x x))) 1)
▶	29.0b	(+.f64 1 (.f64 (.f64 x x) (+.f64 (.f64 5/24 (.f64 x x)) -1/2)))
✓	29.0b	(+.f64 1 (.f64 -1/2 (.f64 x x)))
▶	48.4b	(*.f64 (/.f64 2 x) (/.f64 1 x))
	28.6b	1

Compiler

Compiled 125 to 92 computations (26.4% saved)

localize10.0ms (0.2%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 20 to 9 computations (55% saved)

series1.0ms (0%)

Counts

1 → 12

Calls

3 calls:

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

rewrite59.0ms (1.2%)

Algorithm

1×	batch-egg-rewrite

Rules

1794×	`add-sqr-sqrt`
1764×	`*-un-lft-identity`
1650×	`add-cube-cbrt`
1632×	`add-cbrt-cube`
186×	`pow1`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	9	25
1	192	11
2	2473	11

Stop Event

1×	node limit

Counts

1 → 33

Calls

Call 1

Inputs
(/.f64 (pow.f64 (cosh.f64 x) -1/2) (sqrt.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 (pow.f64 (cosh.f64 x) -1/2) (pow.f64 (cosh.f64 x) -1/2))))) (#(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) -1/4) (*.f64 (pow.f64 (cosh.f64 x) -1/4) (pow.f64 (cosh.f64 x) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 1 (cosh.f64 x))) 2) (cbrt.f64 (/.f64 1 (cosh.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 1 (cosh.f64 x))) (pow.f64 (cbrt.f64 (/.f64 1 (cosh.f64 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 1 (cosh.f64 x))) (*.f64 (cbrt.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))) (/.f64 (pow.f64 (cosh.f64 x) -1/2) (cbrt.f64 (sqrt.f64 (cosh.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (pow.f64 (cosh.f64 x) -1/2)) (/.f64 1 (neg.f64 (sqrt.f64 (cosh.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (cosh.f64 x) -1/2) (pow.f64 (cosh.f64 x) -1/4)) (pow.f64 (cosh.f64 x) -1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (cosh.f64 x) -1/2) (cbrt.f64 (/.f64 1 (cosh.f64 x)))) (cbrt.f64 (pow.f64 (cosh.f64 x) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cosh.f64 x) 1/4)) (/.f64 (pow.f64 (cosh.f64 x) -1/2) (pow.f64 (cosh.f64 x) 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cosh.f64 x) -1/4) 1) (/.f64 (pow.f64 (cosh.f64 x) -1/4) (sqrt.f64 (cosh.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cosh.f64 x) -1/4) (cbrt.f64 (cosh.f64 x))) (/.f64 (pow.f64 (cosh.f64 x) -1/4) (cbrt.f64 (sqrt.f64 (cosh.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (/.f64 1 (cosh.f64 x))) 1) (/.f64 (cbrt.f64 (pow.f64 (cosh.f64 x) -1/2)) (sqrt.f64 (cosh.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (/.f64 1 (cosh.f64 x))) (pow.f64 (cosh.f64 x) 1/4)) (/.f64 (cbrt.f64 (pow.f64 (cosh.f64 x) -1/2)) (pow.f64 (cosh.f64 x) 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (/.f64 1 (cosh.f64 x))) (cbrt.f64 (cosh.f64 x))) (cbrt.f64 (/.f64 1 (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 (pow.f64 (cosh.f64 x) -1/2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (cosh.f64 x)) 1)))) (#(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 (cosh.f64 x) 2) -1/2)))) (#(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 neg.f64 (/.f64 (pow.f64 (cosh.f64 x) -1/2) (neg.f64 (sqrt.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))))))))

simplify74.0ms (1.5%)

Algorithm

1×	egg-herbie

Rules

732×	`associate--r+`
690×	`distribute-rgt-in`
684×	`distribute-lft-in`
640×	`unswap-sqr`
520×	`associate-/l*`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	107	1341
1	251	1289
2	837	855
3	3326	821
4	7014	821

Stop Event

1×	node limit

Counts

45 → 59

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

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

localize9.0ms (0.2%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.2b	(*.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))

rewrite359.0ms (7.2%)

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))))))))

simplify54.0ms (1.1%)

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))

localize11.0ms (0.2%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 1 (/.f64 2 (*.f64 x x)))
	0.8b	(/.f64 2 (*.f64 x x))
✓	2.0b	(-.f64 (+.f64 1 (/.f64 2 (*.f64 x x))) 1)

Compiler

Compiled 28 to 16 computations (42.9% saved)

series1.0ms (0%)

Counts

2 → 24

Calls

6 calls:

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

rewrite71.0ms (1.4%)

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	44
1	204	28
2	2779	28

Stop Event

1×	node limit

Counts

2 → 93

Calls

Call 1

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

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)))))

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

simplify99.0ms (2%)

Algorithm

1×	egg-herbie

Rules

1122×	`+-commutative`
1018×	`fma-def`
652×	`associate-/r*`
626×	`associate-/l*`
580×	`times-frac`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	206	3123
1	470	2797
2	1659	2785
3	7752	2785

Stop Event

1×	node limit

Counts

117 → 119

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

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

localize15.0ms (0.3%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 (.f64 5/24 (.f64 x x)) -1/2)
✓	0.1b	(.f64 (.f64 x x) (+.f64 (.f64 5/24 (.f64 x x)) -1/2))
✓	0.1b	(.f64 5/24 (.f64 x x))

Compiler

Compiled 44 to 23 computations (47.7% saved)

series1.0ms (0%)

Counts

3 → 36

Calls

9 calls:

Time	Variable		Point	Expression
0.0ms	x	@	inf	(.f64 (.f64 x x) (+.f64 (.f64 5/24 (.f64 x x)) -1/2))
0.0ms	x	@	inf	(.f64 5/24 (.f64 x x))
0.0ms	x	@	0	(.f64 (.f64 x x) (+.f64 (.f64 5/24 (.f64 x x)) -1/2))
0.0ms	x	@	0	(.f64 5/24 (.f64 x x))
0.0ms	x	@	-inf	(.f64 (.f64 x x) (+.f64 (.f64 5/24 (.f64 x x)) -1/2))

rewrite154.0ms (3.1%)

Algorithm

1×	batch-egg-rewrite

Rules

950×	`*-commutative`
762×	`unswap-sqr`
632×	`associate-*r/`
588×	`swap-sqr`
440×	`associate-*l/`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	55
1	204	55
2	2650	55

Stop Event

1×	node limit

Counts

3 → 154

Calls

Call 1

Inputs
(.f64 5/24 (.f64 x x))
(.f64 (.f64 x x) (+.f64 (.f64 5/24 (.f64 x x)) -1/2))
(+.f64 (.f64 5/24 (.f64 x x)) -1/2)

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (exp.f64 (log1p.f64 (*.f64 5/24 (*.f64 x x)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 5/24 (*.f64 x x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (exp.f64 (log1p.f64 (*.f64 5/24 (*.f64 x x)))) (exp.f64 (log1p.f64 (*.f64 5/24 (*.f64 x x))))) 1) (+.f64 (exp.f64 (log1p.f64 (*.f64 5/24 (*.f64 x x)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 5/24 (*.f64 x x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (sqrt.f64 5/24)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 5/24 (*.f64 x x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 x 6) 125/13824) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (pow.f64 x 4) 25/576))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 5/24) (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 5/24 (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 x 6) 125/13824))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 5/24 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 5/24 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 5/24 (*.f64 x x))))))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 5/24 (pow.f64 x 4)) (*.f64 x (*.f64 x -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x (*.f64 x -1/2)) (*.f64 5/24 (pow.f64 x 4)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (exp.f64 (log1p.f64 (*.f64 x (*.f64 x (fma.f64 5/24 (*.f64 x x) -1/2))))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 x (*.f64 x (fma.f64 5/24 (*.f64 x x) -1/2))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x x) (/.f64 1 (fma.f64 5/24 (*.f64 x x) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 (pow.f64 x 4) 25/576) -1/4) (/.f64 (fma.f64 5/24 (*.f64 x x) 1/2) (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 -1/8 (*.f64 (pow.f64 x 6) 125/13824)) (/.f64 (+.f64 (*.f64 (pow.f64 x 4) 25/576) (+.f64 1/4 (*.f64 (*.f64 x x) 5/48))) (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 x x) (+.f64 -1/8 (*.f64 (pow.f64 x 6) 125/13824))) (+.f64 (*.f64 (pow.f64 x 4) 25/576) (+.f64 1/4 (*.f64 (*.f64 x x) 5/48))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 x x) (+.f64 (*.f64 (pow.f64 x 4) 25/576) -1/4)) (fma.f64 5/24 (*.f64 x x) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 25/576 (pow.f64 x 8)) (*.f64 (pow.f64 x 4) 1/4)) (*.f64 (*.f64 x x) (fma.f64 5/24 (*.f64 x x) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 5/24 (pow.f64 x 4)) 3) (pow.f64 (*.f64 x (*.f64 x -1/2)) 3)) (+.f64 (*.f64 25/576 (pow.f64 x 8)) (-.f64 (*.f64 (pow.f64 x 4) 1/4) (*.f64 (*.f64 5/24 (pow.f64 x 4)) (*.f64 x (*.f64 x -1/2))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x (*.f64 x (+.f64 (*.f64 (pow.f64 x 4) 25/576) -1/4))) (fma.f64 5/24 (*.f64 x x) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x (*.f64 x (+.f64 -1/8 (*.f64 (pow.f64 x 6) 125/13824)))) (+.f64 (*.f64 (pow.f64 x 4) 25/576) (+.f64 1/4 (*.f64 (*.f64 x x) 5/48))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 x x) (+.f64 1/4 (*.f64 -25/576 (pow.f64 x 4)))) (+.f64 -1/2 (*.f64 (*.f64 x x) -5/24)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 x x) (neg.f64 (+.f64 (*.f64 (pow.f64 x 4) 25/576) -1/4))) (+.f64 (*.f64 (*.f64 x x) -5/24) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 x x) (+.f64 1/8 (neg.f64 (*.f64 (pow.f64 x 6) 125/13824)))) (neg.f64 (+.f64 (*.f64 (pow.f64 x 4) 25/576) (+.f64 1/4 (*.f64 (*.f64 x x) 5/48)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 1 (*.f64 (*.f64 x x) (+.f64 (*.f64 (pow.f64 x 4) 25/576) -1/4))) (fma.f64 5/24 (*.f64 x x) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 1 (*.f64 (*.f64 x x) (+.f64 -1/8 (*.f64 (pow.f64 x 6) 125/13824)))) (+.f64 (*.f64 (pow.f64 x 4) 25/576) (+.f64 1/4 (*.f64 (*.f64 x x) 5/48))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 1 (-.f64 (*.f64 25/576 (pow.f64 x 8)) (*.f64 (pow.f64 x 4) 1/4))) (*.f64 (*.f64 x x) (fma.f64 5/24 (*.f64 x x) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 1 (+.f64 (pow.f64 (*.f64 5/24 (pow.f64 x 4)) 3) (pow.f64 (*.f64 x (*.f64 x -1/2)) 3))) (+.f64 (*.f64 25/576 (pow.f64 x 8)) (-.f64 (*.f64 (pow.f64 x 4) 1/4) (*.f64 (*.f64 5/24 (pow.f64 x 4)) (*.f64 x (*.f64 x -1/2))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 (*.f64 x x) (sqrt.f64 (fma.f64 5/24 (*.f64 x x) -1/2))) (sqrt.f64 (+.f64 (*.f64 (pow.f64 x 4) 25/576) -1/4))) (sqrt.f64 (fma.f64 5/24 (*.f64 x x) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 (*.f64 x x) (sqrt.f64 (fma.f64 5/24 (*.f64 x x) -1/2))) (sqrt.f64 (+.f64 -1/8 (*.f64 (pow.f64 x 6) 125/13824)))) (sqrt.f64 (+.f64 (*.f64 (pow.f64 x 4) 25/576) (+.f64 1/4 (*.f64 (*.f64 x x) 5/48)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 (*.f64 x x) (pow.f64 (cbrt.f64 (fma.f64 5/24 (*.f64 x x) -1/2)) 2)) (cbrt.f64 (+.f64 (*.f64 (pow.f64 x 4) 25/576) -1/4))) (cbrt.f64 (fma.f64 5/24 (*.f64 x x) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 (*.f64 x x) (pow.f64 (cbrt.f64 (fma.f64 5/24 (*.f64 x x) -1/2)) 2)) (cbrt.f64 (+.f64 -1/8 (*.f64 (pow.f64 x 6) 125/13824)))) (cbrt.f64 (+.f64 (*.f64 (pow.f64 x 4) 25/576) (+.f64 1/4 (*.f64 (*.f64 x x) 5/48)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 1/4 (*.f64 -25/576 (pow.f64 x 4))) (*.f64 x x)) (+.f64 -1/2 (*.f64 (*.f64 x x) -5/24)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 (+.f64 (*.f64 (pow.f64 x 4) 25/576) -1/4)) (*.f64 x x)) (+.f64 (*.f64 (*.f64 x x) -5/24) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 1/8 (neg.f64 (*.f64 (pow.f64 x 6) 125/13824))) (*.f64 x x)) (neg.f64 (+.f64 (*.f64 (pow.f64 x 4) 25/576) (+.f64 1/4 (*.f64 (*.f64 x x) 5/48)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 (*.f64 x x) (+.f64 (*.f64 (pow.f64 x 4) 25/576) -1/4)) 1) (fma.f64 5/24 (*.f64 x x) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 (*.f64 x x) (+.f64 -1/8 (*.f64 (pow.f64 x 6) 125/13824))) 1) (+.f64 (*.f64 (pow.f64 x 4) 25/576) (+.f64 1/4 (*.f64 (*.f64 x x) 5/48))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (*.f64 25/576 (pow.f64 x 8)) (*.f64 (pow.f64 x 4) 1/4)) 1) (*.f64 (*.f64 x x) (fma.f64 5/24 (*.f64 x x) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (pow.f64 (*.f64 5/24 (pow.f64 x 4)) 3) (pow.f64 (*.f64 x (*.f64 x -1/2)) 3)) 1) (+.f64 (*.f64 25/576 (pow.f64 x 8)) (-.f64 (*.f64 (pow.f64 x 4) 1/4) (*.f64 (*.f64 5/24 (pow.f64 x 4)) (*.f64 x (*.f64 x -1/2))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sqrt.f64 (+.f64 (*.f64 (pow.f64 x 4) 25/576) -1/4)) (*.f64 (*.f64 x x) (sqrt.f64 (fma.f64 5/24 (*.f64 x x) -1/2)))) (sqrt.f64 (fma.f64 5/24 (*.f64 x x) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sqrt.f64 (+.f64 -1/8 (*.f64 (pow.f64 x 6) 125/13824))) (*.f64 (*.f64 x x) (sqrt.f64 (fma.f64 5/24 (*.f64 x x) -1/2)))) (sqrt.f64 (+.f64 (*.f64 (pow.f64 x 4) 25/576) (+.f64 1/4 (*.f64 (*.f64 x x) 5/48)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 x (+.f64 (*.f64 (pow.f64 x 4) 25/576) -1/4)) x) (fma.f64 5/24 (*.f64 x x) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 x (+.f64 -1/8 (*.f64 (pow.f64 x 6) 125/13824))) x) (+.f64 (*.f64 (pow.f64 x 4) 25/576) (+.f64 1/4 (*.f64 (*.f64 x x) 5/48))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (*.f64 x x) (+.f64 (*.f64 (pow.f64 x 4) 25/576) -1/4)) 1) (fma.f64 5/24 (*.f64 x x) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (*.f64 x x) (+.f64 (*.f64 (pow.f64 x 4) 25/576) -1/4)) (sqrt.f64 (fma.f64 5/24 (*.f64 x x) 1/2))) (sqrt.f64 (fma.f64 5/24 (*.f64 x x) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (*.f64 x x) (+.f64 (*.f64 (pow.f64 x 4) 25/576) -1/4)) (*.f64 (cbrt.f64 (fma.f64 5/24 (*.f64 x x) 1/2)) (cbrt.f64 (fma.f64 5/24 (*.f64 x x) 1/2)))) (cbrt.f64 (fma.f64 5/24 (*.f64 x x) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (*.f64 x x) (+.f64 -1/8 (*.f64 (pow.f64 x 6) 125/13824))) 1) (+.f64 (*.f64 (pow.f64 x 4) 25/576) (+.f64 1/4 (*.f64 (*.f64 x x) 5/48))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (*.f64 x x) (+.f64 -1/8 (*.f64 (pow.f64 x 6) 125/13824))) (sqrt.f64 (+.f64 (*.f64 (pow.f64 x 4) 25/576) (+.f64 1/4 (*.f64 (*.f64 x x) 5/48))))) (sqrt.f64 (+.f64 (*.f64 (pow.f64 x 4) 25/576) (+.f64 1/4 (*.f64 (*.f64 x x) 5/48)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (*.f64 x x) (+.f64 -1/8 (*.f64 (pow.f64 x 6) 125/13824))) (*.f64 (cbrt.f64 (+.f64 (*.f64 (pow.f64 x 4) 25/576) (+.f64 1/4 (*.f64 (*.f64 x x) 5/48)))) (cbrt.f64 (+.f64 (*.f64 (pow.f64 x 4) 25/576) (+.f64 1/4 (*.f64 (*.f64 x x) 5/48)))))) (cbrt.f64 (+.f64 (*.f64 (pow.f64 x 4) 25/576) (+.f64 1/4 (*.f64 (*.f64 x x) 5/48)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (pow.f64 x 4) 1/4) (*.f64 25/576 (pow.f64 x 8))) (-.f64 (*.f64 x (*.f64 x -1/2)) (*.f64 5/24 (pow.f64 x 4))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (exp.f64 (log1p.f64 (*.f64 x (*.f64 x (fma.f64 5/24 (*.f64 x x) -1/2))))) (exp.f64 (log1p.f64 (*.f64 x (*.f64 x (fma.f64 5/24 (*.f64 x x) -1/2)))))) 1) (+.f64 (exp.f64 (log1p.f64 (*.f64 x (*.f64 x (fma.f64 5/24 (*.f64 x x) -1/2))))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (*.f64 x (fma.f64 5/24 (*.f64 x x) -1/2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (sqrt.f64 (fma.f64 5/24 (*.f64 x x) -1/2))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 x (*.f64 x (fma.f64 5/24 (*.f64 x x) -1/2)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 x (*.f64 x (fma.f64 5/24 (*.f64 x x) -1/2))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 x (sqrt.f64 (fma.f64 5/24 (*.f64 x x) -1/2))) 4))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (pow.f64 (exp.f64 x) x) (fma.f64 5/24 (*.f64 x x) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 x (*.f64 x (fma.f64 5/24 (*.f64 x x) -1/2))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 x (*.f64 x (fma.f64 5/24 (*.f64 x x) -1/2))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (fma.f64 5/24 (*.f64 x x) -1/2) 3) (pow.f64 x 6)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 x (*.f64 x (fma.f64 5/24 (*.f64 x x) -1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 x (*.f64 x (fma.f64 5/24 (*.f64 x x) -1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 x (*.f64 x (fma.f64 5/24 (*.f64 x x) -1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 x x) (*.f64 5/24 (*.f64 x x)) (*.f64 x (*.f64 x -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 5/24 (*.f64 x x)) (*.f64 x x) (*.f64 x (*.f64 x -1/2)))))))

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (fma.f64 5/24 (*.f64 x x) 1/2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 5/24 (*.f64 x x)))) 3/2)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 x 4) (/.f64 (fma.f64 5/24 (*.f64 x x) 1/2) 25/576)) (/.f64 1/4 (fma.f64 5/24 (*.f64 x x) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 -1/2 (exp.f64 (log1p.f64 (*.f64 5/24 (*.f64 x x))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 5/24 (*.f64 x x) -1/2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 5/24 (*.f64 x x) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 5/24 (*.f64 x x) -1/2)) (sqrt.f64 (fma.f64 5/24 (*.f64 x x) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 5/24 (*.f64 x x) -1/2)) (pow.f64 (cbrt.f64 (fma.f64 5/24 (*.f64 x x) -1/2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 5/24 (*.f64 x x) -1/2)) 2) (cbrt.f64 (fma.f64 5/24 (*.f64 x x) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (*.f64 (pow.f64 x 4) 25/576) -1/4) (/.f64 1 (fma.f64 5/24 (*.f64 x x) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 -1/8 (*.f64 (pow.f64 x 6) 125/13824)) (/.f64 1 (+.f64 (*.f64 (pow.f64 x 4) 25/576) (+.f64 1/4 (*.f64 (*.f64 x x) 5/48)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 1/4 (*.f64 -25/576 (pow.f64 x 4))) (/.f64 1 (+.f64 -1/2 (*.f64 (*.f64 x x) -5/24))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (fma.f64 5/24 (*.f64 x x) 1/2)) (+.f64 (*.f64 (pow.f64 x 4) 25/576) -1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 (*.f64 (pow.f64 x 4) 25/576) (+.f64 1/4 (*.f64 (*.f64 x x) 5/48)))) (+.f64 -1/8 (*.f64 (pow.f64 x 6) 125/13824)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (+.f64 (*.f64 (pow.f64 x 4) 25/576) -1/4)) (/.f64 1 (+.f64 (*.f64 (*.f64 x x) -5/24) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 1/8 (neg.f64 (*.f64 (pow.f64 x 6) 125/13824))) (/.f64 1 (neg.f64 (+.f64 (*.f64 (pow.f64 x 4) 25/576) (+.f64 1/4 (*.f64 (*.f64 x x) 5/48))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 (*.f64 (pow.f64 x 4) 25/576) -1/4) (+.f64 (*.f64 (pow.f64 x 4) 25/576) -1/4)) (fma.f64 5/24 (*.f64 x x) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 (*.f64 (pow.f64 x 4) 25/576) -1/4) (+.f64 (*.f64 (pow.f64 x 6) 125/13824) 1/8)) (+.f64 (*.f64 (pow.f64 x 4) 25/576) (+.f64 1/4 (*.f64 (*.f64 x x) -5/48))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 -1/8 (*.f64 (pow.f64 x 6) 125/13824)) (-.f64 (*.f64 625/331776 (pow.f64 x 8)) (pow.f64 (+.f64 1/4 (*.f64 (*.f64 x x) 5/48)) 2))) (-.f64 (*.f64 (pow.f64 x 4) 25/576) (+.f64 1/4 (*.f64 (*.f64 x x) 5/48))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 -1/8 (*.f64 (pow.f64 x 6) 125/13824)) (+.f64 (pow.f64 (*.f64 (pow.f64 x 4) 25/576) 3) (pow.f64 (+.f64 1/4 (*.f64 (*.f64 x x) 5/48)) 3))) (+.f64 (*.f64 625/331776 (pow.f64 x 8)) (*.f64 (+.f64 1/4 (*.f64 (*.f64 x x) 5/48)) (-.f64 (+.f64 1/4 (*.f64 (*.f64 x x) 5/48)) (*.f64 (pow.f64 x 4) 25/576)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 (cbrt.f64 (fma.f64 5/24 (*.f64 x x) -1/2))) (cbrt.f64 (fma.f64 5/24 (*.f64 x x) -1/2))) (*.f64 (sqrt.f64 (cbrt.f64 (fma.f64 5/24 (*.f64 x x) -1/2))) (cbrt.f64 (fma.f64 5/24 (*.f64 x x) -1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (sqrt.f64 (fma.f64 5/24 (*.f64 x x) -1/2))) (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 5/24 (*.f64 x x) -1/2)) 2))) (*.f64 (cbrt.f64 (sqrt.f64 (fma.f64 5/24 (*.f64 x x) -1/2))) (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 5/24 (*.f64 x x) -1/2)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (fma.f64 5/24 (*.f64 x x) -1/2)) (sqrt.f64 (cbrt.f64 (fma.f64 5/24 (*.f64 x x) -1/2)))) (*.f64 (cbrt.f64 (fma.f64 5/24 (*.f64 x x) -1/2)) (sqrt.f64 (cbrt.f64 (fma.f64 5/24 (*.f64 x x) -1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 5/24 (*.f64 x x) -1/2)) 2)) (cbrt.f64 (sqrt.f64 (fma.f64 5/24 (*.f64 x x) -1/2)))) (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 5/24 (*.f64 x x) -1/2)) 2)) (cbrt.f64 (sqrt.f64 (fma.f64 5/24 (*.f64 x x) -1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 5/24 (*.f64 x x) -1/2)) 3/2) (pow.f64 (cbrt.f64 (fma.f64 5/24 (*.f64 x x) -1/2)) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (fma.f64 5/24 (*.f64 x x) -1/2) 3) 1/6) (pow.f64 (pow.f64 (fma.f64 5/24 (*.f64 x x) -1/2) 3) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 1 (fma.f64 5/24 (*.f64 x x) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 (pow.f64 x 4) 25/576) -1/4) (fma.f64 5/24 (*.f64 x x) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 -1/8 (*.f64 (pow.f64 x 6) 125/13824)) (+.f64 (*.f64 (pow.f64 x 4) 25/576) (+.f64 1/4 (*.f64 (*.f64 x x) 5/48))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (+.f64 (*.f64 (pow.f64 x 4) 25/576) -1/4)) (/.f64 (fma.f64 5/24 (*.f64 x x) 1/2) (sqrt.f64 (+.f64 (*.f64 (pow.f64 x 4) 25/576) -1/4))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (+.f64 -1/8 (*.f64 (pow.f64 x 6) 125/13824))) (/.f64 (+.f64 (*.f64 (pow.f64 x 4) 25/576) (+.f64 1/4 (*.f64 (*.f64 x x) 5/48))) (sqrt.f64 (+.f64 -1/8 (*.f64 (pow.f64 x 6) 125/13824)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (cbrt.f64 (+.f64 (*.f64 (pow.f64 x 4) 25/576) -1/4)) (cbrt.f64 (+.f64 (*.f64 (pow.f64 x 4) 25/576) -1/4))) (/.f64 (fma.f64 5/24 (*.f64 x x) 1/2) (cbrt.f64 (+.f64 (*.f64 (pow.f64 x 4) 25/576) -1/4))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (cbrt.f64 (+.f64 -1/8 (*.f64 (pow.f64 x 6) 125/13824))) (cbrt.f64 (+.f64 -1/8 (*.f64 (pow.f64 x 6) 125/13824)))) (/.f64 (+.f64 (*.f64 (pow.f64 x 4) 25/576) (+.f64 1/4 (*.f64 (*.f64 x x) 5/48))) (cbrt.f64 (+.f64 -1/8 (*.f64 (pow.f64 x 6) 125/13824)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 (pow.f64 x 6) 125/13824) 2) -1/64) (*.f64 (+.f64 (*.f64 (pow.f64 x 4) 25/576) (+.f64 1/4 (*.f64 (*.f64 x x) 5/48))) (+.f64 (*.f64 (pow.f64 x 6) 125/13824) 1/8)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1/4 (*.f64 -25/576 (pow.f64 x 4))) (+.f64 -1/2 (*.f64 (*.f64 x x) -5/24)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 625/331776 (pow.f64 x 8)) -1/16) (*.f64 (fma.f64 5/24 (*.f64 x x) 1/2) (+.f64 (*.f64 (pow.f64 x 4) 25/576) 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 -1/512 (pow.f64 (*.f64 (pow.f64 x 6) 125/13824) 3)) (*.f64 (+.f64 (*.f64 (pow.f64 x 4) 25/576) (+.f64 1/4 (*.f64 (*.f64 x x) 5/48))) (+.f64 (pow.f64 (*.f64 (pow.f64 x 6) 125/13824) 2) (-.f64 1/64 (*.f64 -1/8 (*.f64 (pow.f64 x 6) 125/13824))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 (pow.f64 x 4) 25/576) 3) -1/64) (*.f64 (fma.f64 5/24 (*.f64 x x) 1/2) (+.f64 (*.f64 625/331776 (pow.f64 x 8)) (+.f64 1/16 (*.f64 (pow.f64 x 4) 25/2304)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (*.f64 (pow.f64 x 4) 25/576) -1/4)) (+.f64 (*.f64 (*.f64 x x) -5/24) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1/8 (neg.f64 (*.f64 (pow.f64 x 6) 125/13824))) (neg.f64 (+.f64 (*.f64 (pow.f64 x 4) 25/576) (+.f64 1/4 (*.f64 (*.f64 x x) 5/48)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 1 (+.f64 1/4 (*.f64 -25/576 (pow.f64 x 4)))) (+.f64 -1/2 (*.f64 (*.f64 x x) -5/24)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sqrt.f64 (fma.f64 5/24 (*.f64 x x) -1/2)) (sqrt.f64 (+.f64 (*.f64 (pow.f64 x 4) 25/576) -1/4))) (sqrt.f64 (fma.f64 5/24 (*.f64 x x) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sqrt.f64 (fma.f64 5/24 (*.f64 x x) -1/2)) (sqrt.f64 (+.f64 -1/8 (*.f64 (pow.f64 x 6) 125/13824)))) (sqrt.f64 (+.f64 (*.f64 (pow.f64 x 4) 25/576) (+.f64 1/4 (*.f64 (*.f64 x x) 5/48)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (pow.f64 (cbrt.f64 (fma.f64 5/24 (*.f64 x x) -1/2)) 2) (cbrt.f64 (+.f64 (*.f64 (pow.f64 x 4) 25/576) -1/4))) (cbrt.f64 (fma.f64 5/24 (*.f64 x x) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (pow.f64 (cbrt.f64 (fma.f64 5/24 (*.f64 x x) -1/2)) 2) (cbrt.f64 (+.f64 -1/8 (*.f64 (pow.f64 x 6) 125/13824)))) (cbrt.f64 (+.f64 (*.f64 (pow.f64 x 4) 25/576) (+.f64 1/4 (*.f64 (*.f64 x x) 5/48)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 1/4 (*.f64 -25/576 (pow.f64 x 4))) 1) (+.f64 -1/2 (*.f64 (*.f64 x x) -5/24)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 (+.f64 (*.f64 (pow.f64 x 4) 25/576) -1/4)) 1) (+.f64 (*.f64 (*.f64 x x) -5/24) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 1/8 (neg.f64 (*.f64 (pow.f64 x 6) 125/13824))) 1) (neg.f64 (+.f64 (*.f64 (pow.f64 x 4) 25/576) (+.f64 1/4 (*.f64 (*.f64 x x) 5/48)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sqrt.f64 (+.f64 (*.f64 (pow.f64 x 4) 25/576) -1/4)) (sqrt.f64 (fma.f64 5/24 (*.f64 x x) -1/2))) (sqrt.f64 (fma.f64 5/24 (*.f64 x x) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sqrt.f64 (+.f64 -1/8 (*.f64 (pow.f64 x 6) 125/13824))) (sqrt.f64 (fma.f64 5/24 (*.f64 x x) -1/2))) (sqrt.f64 (+.f64 (*.f64 (pow.f64 x 4) 25/576) (+.f64 1/4 (*.f64 (*.f64 x x) 5/48)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (cbrt.f64 (+.f64 (*.f64 (pow.f64 x 4) 25/576) -1/4)) (pow.f64 (cbrt.f64 (fma.f64 5/24 (*.f64 x x) -1/2)) 2)) (cbrt.f64 (fma.f64 5/24 (*.f64 x x) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (cbrt.f64 (+.f64 -1/8 (*.f64 (pow.f64 x 6) 125/13824))) (pow.f64 (cbrt.f64 (fma.f64 5/24 (*.f64 x x) -1/2)) 2)) (cbrt.f64 (+.f64 (*.f64 (pow.f64 x 4) 25/576) (+.f64 1/4 (*.f64 (*.f64 x x) 5/48)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (*.f64 625/331776 (pow.f64 x 8)) -1/16) (/.f64 1 (fma.f64 5/24 (*.f64 x x) 1/2))) (+.f64 (*.f64 (pow.f64 x 4) 25/576) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (pow.f64 (*.f64 (pow.f64 x 4) 25/576) 3) -1/64) (/.f64 1 (fma.f64 5/24 (*.f64 x x) 1/2))) (+.f64 (*.f64 625/331776 (pow.f64 x 8)) (+.f64 1/16 (*.f64 (pow.f64 x 4) 25/2304))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (pow.f64 (*.f64 (pow.f64 x 6) 125/13824) 2) -1/64) (/.f64 1 (+.f64 (*.f64 (pow.f64 x 4) 25/576) (+.f64 1/4 (*.f64 (*.f64 x x) 5/48))))) (+.f64 (*.f64 (pow.f64 x 6) 125/13824) 1/8))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 -1/512 (pow.f64 (*.f64 (pow.f64 x 6) 125/13824) 3)) (/.f64 1 (+.f64 (*.f64 (pow.f64 x 4) 25/576) (+.f64 1/4 (*.f64 (*.f64 x x) 5/48))))) (+.f64 (pow.f64 (*.f64 (pow.f64 x 6) 125/13824) 2) (-.f64 1/64 (*.f64 -1/8 (*.f64 (pow.f64 x 6) 125/13824)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (+.f64 (*.f64 (pow.f64 x 4) 25/576) -1/4) 1) (fma.f64 5/24 (*.f64 x x) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (+.f64 (*.f64 (pow.f64 x 4) 25/576) -1/4) (sqrt.f64 (fma.f64 5/24 (*.f64 x x) 1/2))) (sqrt.f64 (fma.f64 5/24 (*.f64 x x) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (+.f64 (*.f64 (pow.f64 x 4) 25/576) -1/4) (*.f64 (cbrt.f64 (fma.f64 5/24 (*.f64 x x) 1/2)) (cbrt.f64 (fma.f64 5/24 (*.f64 x x) 1/2)))) (cbrt.f64 (fma.f64 5/24 (*.f64 x x) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (+.f64 -1/8 (*.f64 (pow.f64 x 6) 125/13824)) 1) (+.f64 (*.f64 (pow.f64 x 4) 25/576) (+.f64 1/4 (*.f64 (*.f64 x x) 5/48))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (+.f64 -1/8 (*.f64 (pow.f64 x 6) 125/13824)) (sqrt.f64 (+.f64 (*.f64 (pow.f64 x 4) 25/576) (+.f64 1/4 (*.f64 (*.f64 x x) 5/48))))) (sqrt.f64 (+.f64 (*.f64 (pow.f64 x 4) 25/576) (+.f64 1/4 (*.f64 (*.f64 x x) 5/48)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (+.f64 -1/8 (*.f64 (pow.f64 x 6) 125/13824)) (*.f64 (cbrt.f64 (+.f64 (*.f64 (pow.f64 x 4) 25/576) (+.f64 1/4 (*.f64 (*.f64 x x) 5/48)))) (cbrt.f64 (+.f64 (*.f64 (pow.f64 x 4) 25/576) (+.f64 1/4 (*.f64 (*.f64 x x) 5/48)))))) (cbrt.f64 (+.f64 (*.f64 (pow.f64 x 4) 25/576) (+.f64 1/4 (*.f64 (*.f64 x x) 5/48)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (fma.f64 5/24 (*.f64 x x) 1/2) 2) 1) (+.f64 (fma.f64 5/24 (*.f64 x x) 1/2) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (/.f64 (pow.f64 x 4) (/.f64 (fma.f64 5/24 (*.f64 x x) 1/2) 25/576)) (/.f64 (pow.f64 x 4) (/.f64 (fma.f64 5/24 (*.f64 x x) 1/2) 25/576))) (*.f64 (/.f64 1/4 (fma.f64 5/24 (*.f64 x x) 1/2)) (/.f64 1/4 (fma.f64 5/24 (*.f64 x x) 1/2)))) (+.f64 (/.f64 (pow.f64 x 4) (/.f64 (fma.f64 5/24 (*.f64 x x) 1/2) 25/576)) (/.f64 1/4 (fma.f64 5/24 (*.f64 x x) 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 5/24 (*.f64 x x) -1/2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 5/24 (*.f64 x x) -1/2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 5/24 (*.f64 x x) -1/2)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 5/24 (*.f64 x x) -1/2) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (+.f64 (*.f64 (pow.f64 x 4) 25/576) -1/4) (+.f64 (*.f64 (*.f64 x x) -5/24) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (+.f64 -1/8 (*.f64 (pow.f64 x 6) 125/13824)) (neg.f64 (+.f64 (*.f64 (pow.f64 x 4) 25/576) (+.f64 1/4 (*.f64 (*.f64 x x) 5/48))))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 5/24 (*.f64 x x) -1/2) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 5/24 (*.f64 x x) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 5/24 (*.f64 x x) -1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 5/24 (*.f64 x x) -1/2) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log.f64 (fma.f64 5/24 (*.f64 x x) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 5/24 (*.f64 x x) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 5/24 (*.f64 x x) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 5/24 (*.f64 x x) -1/2)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 x x) 5/24 -1/2)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 5/24 (*.f64 x x)) -1/2)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 x (sqrt.f64 5/24)) (*.f64 x (sqrt.f64 5/24)) -1/2)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 (pow.f64 x 4) 25/576)) (cbrt.f64 (*.f64 5/24 (*.f64 x x))) -1/2)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 5/24 x) x -1/2)))))

simplify134.0ms (2.7%)

Algorithm

1×	egg-herbie

Rules

1560×	`associate-*r/`
1156×	`associate-*l/`
1048×	`associate-/r/`
646×	`associate-r`
624×	`associate-/l*`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	413	8294
1	1150	7608
2	4766	7602

Stop Event

1×	node limit

Counts

190 → 248

Calls

Call 1

Inputs
(*.f64 5/24 (pow.f64 x 2))
(*.f64 5/24 (pow.f64 x 2))
(*.f64 5/24 (pow.f64 x 2))
(*.f64 5/24 (pow.f64 x 2))
(*.f64 5/24 (pow.f64 x 2))
(*.f64 5/24 (pow.f64 x 2))
(*.f64 5/24 (pow.f64 x 2))
(*.f64 5/24 (pow.f64 x 2))
(*.f64 5/24 (pow.f64 x 2))
(*.f64 5/24 (pow.f64 x 2))
(*.f64 5/24 (pow.f64 x 2))
(*.f64 5/24 (pow.f64 x 2))
(*.f64 -1/2 (pow.f64 x 2))
(+.f64 (.f64 -1/2 (pow.f64 x 2)) (.f64 5/24 (pow.f64 x 4)))
(+.f64 (.f64 -1/2 (pow.f64 x 2)) (.f64 5/24 (pow.f64 x 4)))
(+.f64 (.f64 -1/2 (pow.f64 x 2)) (.f64 5/24 (pow.f64 x 4)))
(*.f64 5/24 (pow.f64 x 4))
(+.f64 (.f64 -1/2 (pow.f64 x 2)) (.f64 5/24 (pow.f64 x 4)))
(+.f64 (.f64 -1/2 (pow.f64 x 2)) (.f64 5/24 (pow.f64 x 4)))
(+.f64 (.f64 -1/2 (pow.f64 x 2)) (.f64 5/24 (pow.f64 x 4)))
(*.f64 5/24 (pow.f64 x 4))
(+.f64 (.f64 -1/2 (pow.f64 x 2)) (.f64 5/24 (pow.f64 x 4)))
(+.f64 (.f64 -1/2 (pow.f64 x 2)) (.f64 5/24 (pow.f64 x 4)))
(+.f64 (.f64 -1/2 (pow.f64 x 2)) (.f64 5/24 (pow.f64 x 4)))
-1/2
(-.f64 (*.f64 5/24 (pow.f64 x 2)) 1/2)
(-.f64 (*.f64 5/24 (pow.f64 x 2)) 1/2)
(-.f64 (*.f64 5/24 (pow.f64 x 2)) 1/2)
(*.f64 5/24 (pow.f64 x 2))
(-.f64 (*.f64 5/24 (pow.f64 x 2)) 1/2)
(-.f64 (*.f64 5/24 (pow.f64 x 2)) 1/2)
(-.f64 (*.f64 5/24 (pow.f64 x 2)) 1/2)
(*.f64 5/24 (pow.f64 x 2))
(-.f64 (*.f64 5/24 (pow.f64 x 2)) 1/2)
(-.f64 (*.f64 5/24 (pow.f64 x 2)) 1/2)
(-.f64 (*.f64 5/24 (pow.f64 x 2)) 1/2)
(+.f64 (exp.f64 (log1p.f64 (.f64 5/24 (.f64 x x)))) -1)
(-.f64 (exp.f64 (log1p.f64 (.f64 5/24 (.f64 x x)))) 1)
(/.f64 (-.f64 (.f64 (exp.f64 (log1p.f64 (.f64 5/24 (.f64 x x)))) (exp.f64 (log1p.f64 (.f64 5/24 (.f64 x x))))) 1) (+.f64 (exp.f64 (log1p.f64 (.f64 5/24 (*.f64 x x)))) 1))
(pow.f64 (.f64 5/24 (.f64 x x)) 1)
(pow.f64 (*.f64 x (sqrt.f64 5/24)) 2)
(pow.f64 (cbrt.f64 (.f64 5/24 (.f64 x x))) 3)
(pow.f64 (*.f64 (pow.f64 x 6) 125/13824) 1/3)
(sqrt.f64 (*.f64 (pow.f64 x 4) 25/576))
(log.f64 (pow.f64 (exp.f64 5/24) (*.f64 x x)))
(log.f64 (+.f64 1 (expm1.f64 (.f64 5/24 (.f64 x x)))))
(cbrt.f64 (*.f64 (pow.f64 x 6) 125/13824))
(expm1.f64 (log1p.f64 (.f64 5/24 (.f64 x x))))
(exp.f64 (log.f64 (.f64 5/24 (.f64 x x))))
(log1p.f64 (expm1.f64 (.f64 5/24 (.f64 x x))))
(+.f64 (.f64 5/24 (pow.f64 x 4)) (.f64 x (*.f64 x -1/2)))
(+.f64 (.f64 x (.f64 x -1/2)) (*.f64 5/24 (pow.f64 x 4)))
(+.f64 (exp.f64 (log1p.f64 (.f64 x (.f64 x (fma.f64 5/24 (*.f64 x x) -1/2))))) -1)
(-.f64 (exp.f64 (log1p.f64 (.f64 x (.f64 x (fma.f64 5/24 (*.f64 x x) -1/2))))) 1)
(/.f64 (.f64 x x) (/.f64 1 (fma.f64 5/24 (.f64 x x) -1/2)))
(/.f64 (+.f64 (.f64 (pow.f64 x 4) 25/576) -1/4) (/.f64 (fma.f64 5/24 (.f64 x x) 1/2) (*.f64 x x)))
(/.f64 (+.f64 -1/8 (.f64 (pow.f64 x 6) 125/13824)) (/.f64 (+.f64 (.f64 (pow.f64 x 4) 25/576) (+.f64 1/4 (.f64 (.f64 x x) 5/48))) (*.f64 x x)))
(/.f64 (.f64 (.f64 x x) (+.f64 -1/8 (.f64 (pow.f64 x 6) 125/13824))) (+.f64 (.f64 (pow.f64 x 4) 25/576) (+.f64 1/4 (.f64 (.f64 x x) 5/48))))
(/.f64 (.f64 (.f64 x x) (+.f64 (.f64 (pow.f64 x 4) 25/576) -1/4)) (fma.f64 5/24 (.f64 x x) 1/2))
(/.f64 (-.f64 (.f64 25/576 (pow.f64 x 8)) (.f64 (pow.f64 x 4) 1/4)) (.f64 (.f64 x x) (fma.f64 5/24 (*.f64 x x) 1/2)))
(/.f64 (+.f64 (pow.f64 (.f64 5/24 (pow.f64 x 4)) 3) (pow.f64 (.f64 x (.f64 x -1/2)) 3)) (+.f64 (.f64 25/576 (pow.f64 x 8)) (-.f64 (.f64 (pow.f64 x 4) 1/4) (.f64 (.f64 5/24 (pow.f64 x 4)) (.f64 x (*.f64 x -1/2))))))
(/.f64 (.f64 x (.f64 x (+.f64 (.f64 (pow.f64 x 4) 25/576) -1/4))) (fma.f64 5/24 (.f64 x x) 1/2))
(/.f64 (.f64 x (.f64 x (+.f64 -1/8 (.f64 (pow.f64 x 6) 125/13824)))) (+.f64 (.f64 (pow.f64 x 4) 25/576) (+.f64 1/4 (.f64 (.f64 x x) 5/48))))
(/.f64 (.f64 (.f64 x x) (+.f64 1/4 (.f64 -25/576 (pow.f64 x 4)))) (+.f64 -1/2 (.f64 (*.f64 x x) -5/24)))
(/.f64 (.f64 (.f64 x x) (neg.f64 (+.f64 (.f64 (pow.f64 x 4) 25/576) -1/4))) (+.f64 (.f64 (*.f64 x x) -5/24) -1/2))
(/.f64 (.f64 (.f64 x x) (+.f64 1/8 (neg.f64 (.f64 (pow.f64 x 6) 125/13824)))) (neg.f64 (+.f64 (.f64 (pow.f64 x 4) 25/576) (+.f64 1/4 (.f64 (.f64 x x) 5/48)))))
(/.f64 (.f64 1 (.f64 (.f64 x x) (+.f64 (.f64 (pow.f64 x 4) 25/576) -1/4))) (fma.f64 5/24 (*.f64 x x) 1/2))
(/.f64 (.f64 1 (.f64 (.f64 x x) (+.f64 -1/8 (.f64 (pow.f64 x 6) 125/13824)))) (+.f64 (.f64 (pow.f64 x 4) 25/576) (+.f64 1/4 (.f64 (*.f64 x x) 5/48))))
(/.f64 (.f64 1 (-.f64 (.f64 25/576 (pow.f64 x 8)) (.f64 (pow.f64 x 4) 1/4))) (.f64 (.f64 x x) (fma.f64 5/24 (.f64 x x) 1/2)))
(/.f64 (.f64 1 (+.f64 (pow.f64 (.f64 5/24 (pow.f64 x 4)) 3) (pow.f64 (.f64 x (.f64 x -1/2)) 3))) (+.f64 (.f64 25/576 (pow.f64 x 8)) (-.f64 (.f64 (pow.f64 x 4) 1/4) (.f64 (.f64 5/24 (pow.f64 x 4)) (.f64 x (.f64 x -1/2))))))
(/.f64 (.f64 (.f64 (.f64 x x) (sqrt.f64 (fma.f64 5/24 (.f64 x x) -1/2))) (sqrt.f64 (+.f64 (.f64 (pow.f64 x 4) 25/576) -1/4))) (sqrt.f64 (fma.f64 5/24 (.f64 x x) 1/2)))
(/.f64 (.f64 (.f64 (.f64 x x) (sqrt.f64 (fma.f64 5/24 (.f64 x x) -1/2))) (sqrt.f64 (+.f64 -1/8 (.f64 (pow.f64 x 6) 125/13824)))) (sqrt.f64 (+.f64 (.f64 (pow.f64 x 4) 25/576) (+.f64 1/4 (.f64 (.f64 x x) 5/48)))))
(/.f64 (.f64 (.f64 (.f64 x x) (pow.f64 (cbrt.f64 (fma.f64 5/24 (.f64 x x) -1/2)) 2)) (cbrt.f64 (+.f64 (.f64 (pow.f64 x 4) 25/576) -1/4))) (cbrt.f64 (fma.f64 5/24 (.f64 x x) 1/2)))
(/.f64 (.f64 (.f64 (.f64 x x) (pow.f64 (cbrt.f64 (fma.f64 5/24 (.f64 x x) -1/2)) 2)) (cbrt.f64 (+.f64 -1/8 (.f64 (pow.f64 x 6) 125/13824)))) (cbrt.f64 (+.f64 (.f64 (pow.f64 x 4) 25/576) (+.f64 1/4 (.f64 (.f64 x x) 5/48)))))
(/.f64 (.f64 (+.f64 1/4 (.f64 -25/576 (pow.f64 x 4))) (.f64 x x)) (+.f64 -1/2 (.f64 (*.f64 x x) -5/24)))
(/.f64 (.f64 (neg.f64 (+.f64 (.f64 (pow.f64 x 4) 25/576) -1/4)) (.f64 x x)) (+.f64 (.f64 (*.f64 x x) -5/24) -1/2))
(/.f64 (.f64 (+.f64 1/8 (neg.f64 (.f64 (pow.f64 x 6) 125/13824))) (.f64 x x)) (neg.f64 (+.f64 (.f64 (pow.f64 x 4) 25/576) (+.f64 1/4 (.f64 (.f64 x x) 5/48)))))
(/.f64 (.f64 (.f64 (.f64 x x) (+.f64 (.f64 (pow.f64 x 4) 25/576) -1/4)) 1) (fma.f64 5/24 (*.f64 x x) 1/2))
(/.f64 (.f64 (.f64 (.f64 x x) (+.f64 -1/8 (.f64 (pow.f64 x 6) 125/13824))) 1) (+.f64 (.f64 (pow.f64 x 4) 25/576) (+.f64 1/4 (.f64 (*.f64 x x) 5/48))))
(/.f64 (.f64 (-.f64 (.f64 25/576 (pow.f64 x 8)) (.f64 (pow.f64 x 4) 1/4)) 1) (.f64 (.f64 x x) (fma.f64 5/24 (.f64 x x) 1/2)))
(/.f64 (.f64 (+.f64 (pow.f64 (.f64 5/24 (pow.f64 x 4)) 3) (pow.f64 (.f64 x (.f64 x -1/2)) 3)) 1) (+.f64 (.f64 25/576 (pow.f64 x 8)) (-.f64 (.f64 (pow.f64 x 4) 1/4) (.f64 (.f64 5/24 (pow.f64 x 4)) (.f64 x (.f64 x -1/2))))))
(/.f64 (.f64 (sqrt.f64 (+.f64 (.f64 (pow.f64 x 4) 25/576) -1/4)) (.f64 (.f64 x x) (sqrt.f64 (fma.f64 5/24 (.f64 x x) -1/2)))) (sqrt.f64 (fma.f64 5/24 (.f64 x x) 1/2)))
(/.f64 (.f64 (sqrt.f64 (+.f64 -1/8 (.f64 (pow.f64 x 6) 125/13824))) (.f64 (.f64 x x) (sqrt.f64 (fma.f64 5/24 (.f64 x x) -1/2)))) (sqrt.f64 (+.f64 (.f64 (pow.f64 x 4) 25/576) (+.f64 1/4 (.f64 (.f64 x x) 5/48)))))
(/.f64 (.f64 (.f64 x (+.f64 (.f64 (pow.f64 x 4) 25/576) -1/4)) x) (fma.f64 5/24 (.f64 x x) 1/2))
(/.f64 (.f64 (.f64 x (+.f64 -1/8 (.f64 (pow.f64 x 6) 125/13824))) x) (+.f64 (.f64 (pow.f64 x 4) 25/576) (+.f64 1/4 (.f64 (.f64 x x) 5/48))))
(/.f64 (/.f64 (.f64 (.f64 x x) (+.f64 (.f64 (pow.f64 x 4) 25/576) -1/4)) 1) (fma.f64 5/24 (.f64 x x) 1/2))
(/.f64 (/.f64 (.f64 (.f64 x x) (+.f64 (.f64 (pow.f64 x 4) 25/576) -1/4)) (sqrt.f64 (fma.f64 5/24 (.f64 x x) 1/2))) (sqrt.f64 (fma.f64 5/24 (*.f64 x x) 1/2)))
(/.f64 (/.f64 (.f64 (.f64 x x) (+.f64 (.f64 (pow.f64 x 4) 25/576) -1/4)) (.f64 (cbrt.f64 (fma.f64 5/24 (.f64 x x) 1/2)) (cbrt.f64 (fma.f64 5/24 (.f64 x x) 1/2)))) (cbrt.f64 (fma.f64 5/24 (*.f64 x x) 1/2)))
(/.f64 (/.f64 (.f64 (.f64 x x) (+.f64 -1/8 (.f64 (pow.f64 x 6) 125/13824))) 1) (+.f64 (.f64 (pow.f64 x 4) 25/576) (+.f64 1/4 (.f64 (.f64 x x) 5/48))))
(/.f64 (/.f64 (.f64 (.f64 x x) (+.f64 -1/8 (.f64 (pow.f64 x 6) 125/13824))) (sqrt.f64 (+.f64 (.f64 (pow.f64 x 4) 25/576) (+.f64 1/4 (.f64 (.f64 x x) 5/48))))) (sqrt.f64 (+.f64 (.f64 (pow.f64 x 4) 25/576) (+.f64 1/4 (.f64 (*.f64 x x) 5/48)))))
(/.f64 (/.f64 (.f64 (.f64 x x) (+.f64 -1/8 (.f64 (pow.f64 x 6) 125/13824))) (.f64 (cbrt.f64 (+.f64 (.f64 (pow.f64 x 4) 25/576) (+.f64 1/4 (.f64 (.f64 x x) 5/48)))) (cbrt.f64 (+.f64 (.f64 (pow.f64 x 4) 25/576) (+.f64 1/4 (.f64 (.f64 x x) 5/48)))))) (cbrt.f64 (+.f64 (.f64 (pow.f64 x 4) 25/576) (+.f64 1/4 (.f64 (*.f64 x x) 5/48)))))
(/.f64 (-.f64 (.f64 (pow.f64 x 4) 1/4) (.f64 25/576 (pow.f64 x 8))) (-.f64 (.f64 x (.f64 x -1/2)) (*.f64 5/24 (pow.f64 x 4))))
(/.f64 (-.f64 (.f64 (exp.f64 (log1p.f64 (.f64 x (.f64 x (fma.f64 5/24 (.f64 x x) -1/2))))) (exp.f64 (log1p.f64 (.f64 x (.f64 x (fma.f64 5/24 (.f64 x x) -1/2)))))) 1) (+.f64 (exp.f64 (log1p.f64 (.f64 x (.f64 x (fma.f64 5/24 (.f64 x x) -1/2))))) 1))
(pow.f64 (.f64 x (.f64 x (fma.f64 5/24 (*.f64 x x) -1/2))) 1)
(pow.f64 (.f64 x (sqrt.f64 (fma.f64 5/24 (.f64 x x) -1/2))) 2)
(pow.f64 (cbrt.f64 (.f64 x (.f64 x (fma.f64 5/24 (*.f64 x x) -1/2)))) 3)
(pow.f64 (pow.f64 (.f64 x (.f64 x (fma.f64 5/24 (*.f64 x x) -1/2))) 3) 1/3)
(sqrt.f64 (pow.f64 (.f64 x (sqrt.f64 (fma.f64 5/24 (.f64 x x) -1/2))) 4))
(log.f64 (pow.f64 (pow.f64 (exp.f64 x) x) (fma.f64 5/24 (*.f64 x x) -1/2)))
(log.f64 (+.f64 1 (expm1.f64 (.f64 x (.f64 x (fma.f64 5/24 (*.f64 x x) -1/2))))))
(cbrt.f64 (pow.f64 (.f64 x (.f64 x (fma.f64 5/24 (*.f64 x x) -1/2))) 3))
(cbrt.f64 (.f64 (pow.f64 (fma.f64 5/24 (.f64 x x) -1/2) 3) (pow.f64 x 6)))
(expm1.f64 (log1p.f64 (.f64 x (.f64 x (fma.f64 5/24 (*.f64 x x) -1/2)))))
(exp.f64 (log.f64 (.f64 x (.f64 x (fma.f64 5/24 (*.f64 x x) -1/2)))))
(log1p.f64 (expm1.f64 (.f64 x (.f64 x (fma.f64 5/24 (*.f64 x x) -1/2)))))
(fma.f64 (.f64 x x) (.f64 5/24 (.f64 x x)) (.f64 x (*.f64 x -1/2)))
(fma.f64 (.f64 5/24 (.f64 x x)) (.f64 x x) (.f64 x (*.f64 x -1/2)))
(-.f64 (fma.f64 5/24 (*.f64 x x) 1/2) 1)
(-.f64 (exp.f64 (log1p.f64 (.f64 5/24 (.f64 x x)))) 3/2)
(-.f64 (/.f64 (pow.f64 x 4) (/.f64 (fma.f64 5/24 (.f64 x x) 1/2) 25/576)) (/.f64 1/4 (fma.f64 5/24 (.f64 x x) 1/2)))
(-.f64 (+.f64 -1/2 (exp.f64 (log1p.f64 (.f64 5/24 (.f64 x x))))) 1)
(.f64 (fma.f64 5/24 (.f64 x x) -1/2) 1)
(.f64 1 (fma.f64 5/24 (.f64 x x) -1/2))
(.f64 (sqrt.f64 (fma.f64 5/24 (.f64 x x) -1/2)) (sqrt.f64 (fma.f64 5/24 (*.f64 x x) -1/2)))
(.f64 (cbrt.f64 (fma.f64 5/24 (.f64 x x) -1/2)) (pow.f64 (cbrt.f64 (fma.f64 5/24 (*.f64 x x) -1/2)) 2))
(.f64 (pow.f64 (cbrt.f64 (fma.f64 5/24 (.f64 x x) -1/2)) 2) (cbrt.f64 (fma.f64 5/24 (*.f64 x x) -1/2)))
(.f64 (+.f64 (.f64 (pow.f64 x 4) 25/576) -1/4) (/.f64 1 (fma.f64 5/24 (*.f64 x x) 1/2)))
(.f64 (+.f64 -1/8 (.f64 (pow.f64 x 6) 125/13824)) (/.f64 1 (+.f64 (.f64 (pow.f64 x 4) 25/576) (+.f64 1/4 (.f64 (*.f64 x x) 5/48)))))
(.f64 (+.f64 1/4 (.f64 -25/576 (pow.f64 x 4))) (/.f64 1 (+.f64 -1/2 (.f64 (.f64 x x) -5/24))))
(.f64 (/.f64 1 (fma.f64 5/24 (.f64 x x) 1/2)) (+.f64 (*.f64 (pow.f64 x 4) 25/576) -1/4))
(.f64 (/.f64 1 (+.f64 (.f64 (pow.f64 x 4) 25/576) (+.f64 1/4 (.f64 (.f64 x x) 5/48)))) (+.f64 -1/8 (*.f64 (pow.f64 x 6) 125/13824)))
(.f64 (neg.f64 (+.f64 (.f64 (pow.f64 x 4) 25/576) -1/4)) (/.f64 1 (+.f64 (.f64 (.f64 x x) -5/24) -1/2)))
(.f64 (+.f64 1/8 (neg.f64 (.f64 (pow.f64 x 6) 125/13824))) (/.f64 1 (neg.f64 (+.f64 (.f64 (pow.f64 x 4) 25/576) (+.f64 1/4 (.f64 (*.f64 x x) 5/48))))))
(.f64 (/.f64 (+.f64 (.f64 (pow.f64 x 4) 25/576) -1/4) (+.f64 (.f64 (pow.f64 x 4) 25/576) -1/4)) (fma.f64 5/24 (.f64 x x) -1/2))
(.f64 (/.f64 (+.f64 (.f64 (pow.f64 x 4) 25/576) -1/4) (+.f64 (.f64 (pow.f64 x 6) 125/13824) 1/8)) (+.f64 (.f64 (pow.f64 x 4) 25/576) (+.f64 1/4 (.f64 (.f64 x x) -5/48))))
(.f64 (/.f64 (+.f64 -1/8 (.f64 (pow.f64 x 6) 125/13824)) (-.f64 (.f64 625/331776 (pow.f64 x 8)) (pow.f64 (+.f64 1/4 (.f64 (.f64 x x) 5/48)) 2))) (-.f64 (.f64 (pow.f64 x 4) 25/576) (+.f64 1/4 (.f64 (.f64 x x) 5/48))))
(.f64 (/.f64 (+.f64 -1/8 (.f64 (pow.f64 x 6) 125/13824)) (+.f64 (pow.f64 (.f64 (pow.f64 x 4) 25/576) 3) (pow.f64 (+.f64 1/4 (.f64 (.f64 x x) 5/48)) 3))) (+.f64 (.f64 625/331776 (pow.f64 x 8)) (.f64 (+.f64 1/4 (.f64 (.f64 x x) 5/48)) (-.f64 (+.f64 1/4 (.f64 (.f64 x x) 5/48)) (.f64 (pow.f64 x 4) 25/576)))))
(.f64 (.f64 (sqrt.f64 (cbrt.f64 (fma.f64 5/24 (.f64 x x) -1/2))) (cbrt.f64 (fma.f64 5/24 (.f64 x x) -1/2))) (.f64 (sqrt.f64 (cbrt.f64 (fma.f64 5/24 (.f64 x x) -1/2))) (cbrt.f64 (fma.f64 5/24 (*.f64 x x) -1/2))))
(.f64 (.f64 (cbrt.f64 (sqrt.f64 (fma.f64 5/24 (.f64 x x) -1/2))) (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 5/24 (.f64 x x) -1/2)) 2))) (.f64 (cbrt.f64 (sqrt.f64 (fma.f64 5/24 (.f64 x x) -1/2))) (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 5/24 (*.f64 x x) -1/2)) 2))))
(.f64 (.f64 (cbrt.f64 (fma.f64 5/24 (.f64 x x) -1/2)) (sqrt.f64 (cbrt.f64 (fma.f64 5/24 (.f64 x x) -1/2)))) (.f64 (cbrt.f64 (fma.f64 5/24 (.f64 x x) -1/2)) (sqrt.f64 (cbrt.f64 (fma.f64 5/24 (*.f64 x x) -1/2)))))
(.f64 (.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 5/24 (.f64 x x) -1/2)) 2)) (cbrt.f64 (sqrt.f64 (fma.f64 5/24 (.f64 x x) -1/2)))) (.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 5/24 (.f64 x x) -1/2)) 2)) (cbrt.f64 (sqrt.f64 (fma.f64 5/24 (*.f64 x x) -1/2)))))
(.f64 (pow.f64 (cbrt.f64 (fma.f64 5/24 (.f64 x x) -1/2)) 3/2) (pow.f64 (cbrt.f64 (fma.f64 5/24 (*.f64 x x) -1/2)) 3/2))
(.f64 (pow.f64 (pow.f64 (fma.f64 5/24 (.f64 x x) -1/2) 3) 1/6) (pow.f64 (pow.f64 (fma.f64 5/24 (*.f64 x x) -1/2) 3) 1/6))
(/.f64 1 (/.f64 1 (fma.f64 5/24 (*.f64 x x) -1/2)))
(/.f64 (+.f64 (.f64 (pow.f64 x 4) 25/576) -1/4) (fma.f64 5/24 (.f64 x x) 1/2))
(/.f64 (+.f64 -1/8 (.f64 (pow.f64 x 6) 125/13824)) (+.f64 (.f64 (pow.f64 x 4) 25/576) (+.f64 1/4 (.f64 (.f64 x x) 5/48))))
(/.f64 (sqrt.f64 (+.f64 (.f64 (pow.f64 x 4) 25/576) -1/4)) (/.f64 (fma.f64 5/24 (.f64 x x) 1/2) (sqrt.f64 (+.f64 (*.f64 (pow.f64 x 4) 25/576) -1/4))))
(/.f64 (sqrt.f64 (+.f64 -1/8 (.f64 (pow.f64 x 6) 125/13824))) (/.f64 (+.f64 (.f64 (pow.f64 x 4) 25/576) (+.f64 1/4 (.f64 (.f64 x x) 5/48))) (sqrt.f64 (+.f64 -1/8 (*.f64 (pow.f64 x 6) 125/13824)))))
(/.f64 (.f64 (cbrt.f64 (+.f64 (.f64 (pow.f64 x 4) 25/576) -1/4)) (cbrt.f64 (+.f64 (.f64 (pow.f64 x 4) 25/576) -1/4))) (/.f64 (fma.f64 5/24 (.f64 x x) 1/2) (cbrt.f64 (+.f64 (*.f64 (pow.f64 x 4) 25/576) -1/4))))
(/.f64 (.f64 (cbrt.f64 (+.f64 -1/8 (.f64 (pow.f64 x 6) 125/13824))) (cbrt.f64 (+.f64 -1/8 (.f64 (pow.f64 x 6) 125/13824)))) (/.f64 (+.f64 (.f64 (pow.f64 x 4) 25/576) (+.f64 1/4 (.f64 (.f64 x x) 5/48))) (cbrt.f64 (+.f64 -1/8 (*.f64 (pow.f64 x 6) 125/13824)))))
(/.f64 (+.f64 (pow.f64 (.f64 (pow.f64 x 6) 125/13824) 2) -1/64) (.f64 (+.f64 (.f64 (pow.f64 x 4) 25/576) (+.f64 1/4 (.f64 (.f64 x x) 5/48))) (+.f64 (.f64 (pow.f64 x 6) 125/13824) 1/8)))
(/.f64 (+.f64 1/4 (.f64 -25/576 (pow.f64 x 4))) (+.f64 -1/2 (.f64 (*.f64 x x) -5/24)))
(/.f64 (+.f64 (.f64 625/331776 (pow.f64 x 8)) -1/16) (.f64 (fma.f64 5/24 (.f64 x x) 1/2) (+.f64 (.f64 (pow.f64 x 4) 25/576) 1/4)))
(/.f64 (+.f64 -1/512 (pow.f64 (.f64 (pow.f64 x 6) 125/13824) 3)) (.f64 (+.f64 (.f64 (pow.f64 x 4) 25/576) (+.f64 1/4 (.f64 (.f64 x x) 5/48))) (+.f64 (pow.f64 (.f64 (pow.f64 x 6) 125/13824) 2) (-.f64 1/64 (.f64 -1/8 (.f64 (pow.f64 x 6) 125/13824))))))
(/.f64 (+.f64 (pow.f64 (.f64 (pow.f64 x 4) 25/576) 3) -1/64) (.f64 (fma.f64 5/24 (.f64 x x) 1/2) (+.f64 (.f64 625/331776 (pow.f64 x 8)) (+.f64 1/16 (*.f64 (pow.f64 x 4) 25/2304)))))
(/.f64 (neg.f64 (+.f64 (.f64 (pow.f64 x 4) 25/576) -1/4)) (+.f64 (.f64 (*.f64 x x) -5/24) -1/2))
(/.f64 (+.f64 1/8 (neg.f64 (.f64 (pow.f64 x 6) 125/13824))) (neg.f64 (+.f64 (.f64 (pow.f64 x 4) 25/576) (+.f64 1/4 (.f64 (.f64 x x) 5/48)))))
(/.f64 (.f64 1 (+.f64 1/4 (.f64 -25/576 (pow.f64 x 4)))) (+.f64 -1/2 (.f64 (.f64 x x) -5/24)))
(/.f64 (.f64 (sqrt.f64 (fma.f64 5/24 (.f64 x x) -1/2)) (sqrt.f64 (+.f64 (.f64 (pow.f64 x 4) 25/576) -1/4))) (sqrt.f64 (fma.f64 5/24 (.f64 x x) 1/2)))
(/.f64 (.f64 (sqrt.f64 (fma.f64 5/24 (.f64 x x) -1/2)) (sqrt.f64 (+.f64 -1/8 (.f64 (pow.f64 x 6) 125/13824)))) (sqrt.f64 (+.f64 (.f64 (pow.f64 x 4) 25/576) (+.f64 1/4 (.f64 (.f64 x x) 5/48)))))
(/.f64 (.f64 (pow.f64 (cbrt.f64 (fma.f64 5/24 (.f64 x x) -1/2)) 2) (cbrt.f64 (+.f64 (.f64 (pow.f64 x 4) 25/576) -1/4))) (cbrt.f64 (fma.f64 5/24 (.f64 x x) 1/2)))
(/.f64 (.f64 (pow.f64 (cbrt.f64 (fma.f64 5/24 (.f64 x x) -1/2)) 2) (cbrt.f64 (+.f64 -1/8 (.f64 (pow.f64 x 6) 125/13824)))) (cbrt.f64 (+.f64 (.f64 (pow.f64 x 4) 25/576) (+.f64 1/4 (.f64 (.f64 x x) 5/48)))))
(/.f64 (.f64 (+.f64 1/4 (.f64 -25/576 (pow.f64 x 4))) 1) (+.f64 -1/2 (.f64 (.f64 x x) -5/24)))
(/.f64 (.f64 (neg.f64 (+.f64 (.f64 (pow.f64 x 4) 25/576) -1/4)) 1) (+.f64 (.f64 (.f64 x x) -5/24) -1/2))
(/.f64 (.f64 (+.f64 1/8 (neg.f64 (.f64 (pow.f64 x 6) 125/13824))) 1) (neg.f64 (+.f64 (.f64 (pow.f64 x 4) 25/576) (+.f64 1/4 (.f64 (*.f64 x x) 5/48)))))
(/.f64 (.f64 (sqrt.f64 (+.f64 (.f64 (pow.f64 x 4) 25/576) -1/4)) (sqrt.f64 (fma.f64 5/24 (.f64 x x) -1/2))) (sqrt.f64 (fma.f64 5/24 (.f64 x x) 1/2)))
(/.f64 (.f64 (sqrt.f64 (+.f64 -1/8 (.f64 (pow.f64 x 6) 125/13824))) (sqrt.f64 (fma.f64 5/24 (.f64 x x) -1/2))) (sqrt.f64 (+.f64 (.f64 (pow.f64 x 4) 25/576) (+.f64 1/4 (.f64 (.f64 x x) 5/48)))))
(/.f64 (.f64 (cbrt.f64 (+.f64 (.f64 (pow.f64 x 4) 25/576) -1/4)) (pow.f64 (cbrt.f64 (fma.f64 5/24 (.f64 x x) -1/2)) 2)) (cbrt.f64 (fma.f64 5/24 (.f64 x x) 1/2)))
(/.f64 (.f64 (cbrt.f64 (+.f64 -1/8 (.f64 (pow.f64 x 6) 125/13824))) (pow.f64 (cbrt.f64 (fma.f64 5/24 (.f64 x x) -1/2)) 2)) (cbrt.f64 (+.f64 (.f64 (pow.f64 x 4) 25/576) (+.f64 1/4 (.f64 (.f64 x x) 5/48)))))
(/.f64 (.f64 (+.f64 (.f64 625/331776 (pow.f64 x 8)) -1/16) (/.f64 1 (fma.f64 5/24 (.f64 x x) 1/2))) (+.f64 (.f64 (pow.f64 x 4) 25/576) 1/4))
(/.f64 (.f64 (+.f64 (pow.f64 (.f64 (pow.f64 x 4) 25/576) 3) -1/64) (/.f64 1 (fma.f64 5/24 (.f64 x x) 1/2))) (+.f64 (.f64 625/331776 (pow.f64 x 8)) (+.f64 1/16 (*.f64 (pow.f64 x 4) 25/2304))))
(/.f64 (.f64 (+.f64 (pow.f64 (.f64 (pow.f64 x 6) 125/13824) 2) -1/64) (/.f64 1 (+.f64 (.f64 (pow.f64 x 4) 25/576) (+.f64 1/4 (.f64 (.f64 x x) 5/48))))) (+.f64 (.f64 (pow.f64 x 6) 125/13824) 1/8))
(/.f64 (.f64 (+.f64 -1/512 (pow.f64 (.f64 (pow.f64 x 6) 125/13824) 3)) (/.f64 1 (+.f64 (.f64 (pow.f64 x 4) 25/576) (+.f64 1/4 (.f64 (.f64 x x) 5/48))))) (+.f64 (pow.f64 (.f64 (pow.f64 x 6) 125/13824) 2) (-.f64 1/64 (.f64 -1/8 (.f64 (pow.f64 x 6) 125/13824)))))
(/.f64 (/.f64 (+.f64 (.f64 (pow.f64 x 4) 25/576) -1/4) 1) (fma.f64 5/24 (.f64 x x) 1/2))
(/.f64 (/.f64 (+.f64 (.f64 (pow.f64 x 4) 25/576) -1/4) (sqrt.f64 (fma.f64 5/24 (.f64 x x) 1/2))) (sqrt.f64 (fma.f64 5/24 (*.f64 x x) 1/2)))
(/.f64 (/.f64 (+.f64 (.f64 (pow.f64 x 4) 25/576) -1/4) (.f64 (cbrt.f64 (fma.f64 5/24 (.f64 x x) 1/2)) (cbrt.f64 (fma.f64 5/24 (.f64 x x) 1/2)))) (cbrt.f64 (fma.f64 5/24 (*.f64 x x) 1/2)))
(/.f64 (/.f64 (+.f64 -1/8 (.f64 (pow.f64 x 6) 125/13824)) 1) (+.f64 (.f64 (pow.f64 x 4) 25/576) (+.f64 1/4 (.f64 (.f64 x x) 5/48))))
(/.f64 (/.f64 (+.f64 -1/8 (.f64 (pow.f64 x 6) 125/13824)) (sqrt.f64 (+.f64 (.f64 (pow.f64 x 4) 25/576) (+.f64 1/4 (.f64 (.f64 x x) 5/48))))) (sqrt.f64 (+.f64 (.f64 (pow.f64 x 4) 25/576) (+.f64 1/4 (.f64 (*.f64 x x) 5/48)))))
(/.f64 (/.f64 (+.f64 -1/8 (.f64 (pow.f64 x 6) 125/13824)) (.f64 (cbrt.f64 (+.f64 (.f64 (pow.f64 x 4) 25/576) (+.f64 1/4 (.f64 (.f64 x x) 5/48)))) (cbrt.f64 (+.f64 (.f64 (pow.f64 x 4) 25/576) (+.f64 1/4 (.f64 (.f64 x x) 5/48)))))) (cbrt.f64 (+.f64 (.f64 (pow.f64 x 4) 25/576) (+.f64 1/4 (.f64 (*.f64 x x) 5/48)))))
(/.f64 (-.f64 (pow.f64 (fma.f64 5/24 (.f64 x x) 1/2) 2) 1) (+.f64 (fma.f64 5/24 (.f64 x x) 1/2) 1))
(/.f64 (-.f64 (.f64 (/.f64 (pow.f64 x 4) (/.f64 (fma.f64 5/24 (.f64 x x) 1/2) 25/576)) (/.f64 (pow.f64 x 4) (/.f64 (fma.f64 5/24 (.f64 x x) 1/2) 25/576))) (.f64 (/.f64 1/4 (fma.f64 5/24 (.f64 x x) 1/2)) (/.f64 1/4 (fma.f64 5/24 (.f64 x x) 1/2)))) (+.f64 (/.f64 (pow.f64 x 4) (/.f64 (fma.f64 5/24 (.f64 x x) 1/2) 25/576)) (/.f64 1/4 (fma.f64 5/24 (.f64 x x) 1/2))))
(pow.f64 (fma.f64 5/24 (*.f64 x x) -1/2) 1)
(pow.f64 (sqrt.f64 (fma.f64 5/24 (*.f64 x x) -1/2)) 2)
(pow.f64 (cbrt.f64 (fma.f64 5/24 (*.f64 x x) -1/2)) 3)
(pow.f64 (pow.f64 (fma.f64 5/24 (*.f64 x x) -1/2) 3) 1/3)
(neg.f64 (/.f64 (+.f64 (.f64 (pow.f64 x 4) 25/576) -1/4) (+.f64 (.f64 (*.f64 x x) -5/24) -1/2)))
(neg.f64 (/.f64 (+.f64 -1/8 (.f64 (pow.f64 x 6) 125/13824)) (neg.f64 (+.f64 (.f64 (pow.f64 x 4) 25/576) (+.f64 1/4 (.f64 (.f64 x x) 5/48))))))
(sqrt.f64 (pow.f64 (fma.f64 5/24 (*.f64 x x) -1/2) 2))
(log.f64 (exp.f64 (fma.f64 5/24 (*.f64 x x) -1/2)))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 5/24 (*.f64 x x) -1/2))))
(cbrt.f64 (pow.f64 (fma.f64 5/24 (*.f64 x x) -1/2) 3))
(expm1.f64 (log.f64 (fma.f64 5/24 (*.f64 x x) 1/2)))
(exp.f64 (log.f64 (fma.f64 5/24 (*.f64 x x) -1/2)))
(log1p.f64 (expm1.f64 (fma.f64 5/24 (*.f64 x x) -1/2)))
(fma.f64 5/24 (*.f64 x x) -1/2)
(fma.f64 (*.f64 x x) 5/24 -1/2)
(fma.f64 1 (.f64 5/24 (.f64 x x)) -1/2)
(fma.f64 (.f64 x (sqrt.f64 5/24)) (.f64 x (sqrt.f64 5/24)) -1/2)
(fma.f64 (cbrt.f64 (.f64 (pow.f64 x 4) 25/576)) (cbrt.f64 (.f64 5/24 (*.f64 x x))) -1/2)
(fma.f64 (*.f64 5/24 x) x -1/2)

Outputs
(*.f64 5/24 (pow.f64 x 2))
(.f64 5/24 (.f64 x x))
(*.f64 5/24 (pow.f64 x 2))
(.f64 5/24 (.f64 x x))
(*.f64 5/24 (pow.f64 x 2))
(.f64 5/24 (.f64 x x))
(*.f64 5/24 (pow.f64 x 2))
(.f64 5/24 (.f64 x x))
(*.f64 5/24 (pow.f64 x 2))
(.f64 5/24 (.f64 x x))
(*.f64 5/24 (pow.f64 x 2))
(.f64 5/24 (.f64 x x))
(*.f64 5/24 (pow.f64 x 2))
(.f64 5/24 (.f64 x x))
(*.f64 5/24 (pow.f64 x 2))
(.f64 5/24 (.f64 x x))
(*.f64 5/24 (pow.f64 x 2))
(.f64 5/24 (.f64 x x))
(*.f64 5/24 (pow.f64 x 2))
(.f64 5/24 (.f64 x x))
(*.f64 5/24 (pow.f64 x 2))
(.f64 5/24 (.f64 x x))
(*.f64 5/24 (pow.f64 x 2))
(.f64 5/24 (.f64 x x))
(*.f64 -1/2 (pow.f64 x 2))
(.f64 x (.f64 x -1/2))
(+.f64 (.f64 -1/2 (pow.f64 x 2)) (.f64 5/24 (pow.f64 x 4)))
(fma.f64 5/24 (pow.f64 x 4) (.f64 x (.f64 x -1/2)))
(.f64 (.f64 x x) (fma.f64 5/24 (*.f64 x x) -1/2))
(+.f64 (.f64 -1/2 (pow.f64 x 2)) (.f64 5/24 (pow.f64 x 4)))
(fma.f64 5/24 (pow.f64 x 4) (.f64 x (.f64 x -1/2)))
(.f64 (.f64 x x) (fma.f64 5/24 (*.f64 x x) -1/2))
(+.f64 (.f64 -1/2 (pow.f64 x 2)) (.f64 5/24 (pow.f64 x 4)))
(fma.f64 5/24 (pow.f64 x 4) (.f64 x (.f64 x -1/2)))
(.f64 (.f64 x x) (fma.f64 5/24 (*.f64 x x) -1/2))
(*.f64 5/24 (pow.f64 x 4))
(+.f64 (.f64 -1/2 (pow.f64 x 2)) (.f64 5/24 (pow.f64 x 4)))
(fma.f64 5/24 (pow.f64 x 4) (.f64 x (.f64 x -1/2)))
(.f64 (.f64 x x) (fma.f64 5/24 (*.f64 x x) -1/2))
(+.f64 (.f64 -1/2 (pow.f64 x 2)) (.f64 5/24 (pow.f64 x 4)))
(fma.f64 5/24 (pow.f64 x 4) (.f64 x (.f64 x -1/2)))
(.f64 (.f64 x x) (fma.f64 5/24 (*.f64 x x) -1/2))
(+.f64 (.f64 -1/2 (pow.f64 x 2)) (.f64 5/24 (pow.f64 x 4)))
(fma.f64 5/24 (pow.f64 x 4) (.f64 x (.f64 x -1/2)))
(.f64 (.f64 x x) (fma.f64 5/24 (*.f64 x x) -1/2))
(*.f64 5/24 (pow.f64 x 4))
(+.f64 (.f64 -1/2 (pow.f64 x 2)) (.f64 5/24 (pow.f64 x 4)))
(fma.f64 5/24 (pow.f64 x 4) (.f64 x (.f64 x -1/2)))
(.f64 (.f64 x x) (fma.f64 5/24 (*.f64 x x) -1/2))
(+.f64 (.f64 -1/2 (pow.f64 x 2)) (.f64 5/24 (pow.f64 x 4)))
(fma.f64 5/24 (pow.f64 x 4) (.f64 x (.f64 x -1/2)))
(.f64 (.f64 x x) (fma.f64 5/24 (*.f64 x x) -1/2))
(+.f64 (.f64 -1/2 (pow.f64 x 2)) (.f64 5/24 (pow.f64 x 4)))
(fma.f64 5/24 (pow.f64 x 4) (.f64 x (.f64 x -1/2)))
(.f64 (.f64 x x) (fma.f64 5/24 (*.f64 x x) -1/2))
-1/2
(-.f64 (*.f64 5/24 (pow.f64 x 2)) 1/2)
(fma.f64 5/24 (*.f64 x x) -1/2)
(-.f64 (*.f64 5/24 (pow.f64 x 2)) 1/2)
(fma.f64 5/24 (*.f64 x x) -1/2)
(-.f64 (*.f64 5/24 (pow.f64 x 2)) 1/2)
(fma.f64 5/24 (*.f64 x x) -1/2)
(*.f64 5/24 (pow.f64 x 2))
(.f64 5/24 (.f64 x x))
(-.f64 (*.f64 5/24 (pow.f64 x 2)) 1/2)
(fma.f64 5/24 (*.f64 x x) -1/2)
(-.f64 (*.f64 5/24 (pow.f64 x 2)) 1/2)
(fma.f64 5/24 (*.f64 x x) -1/2)
(-.f64 (*.f64 5/24 (pow.f64 x 2)) 1/2)
(fma.f64 5/24 (*.f64 x x) -1/2)
(*.f64 5/24 (pow.f64 x 2))
(.f64 5/24 (.f64 x x))
(-.f64 (*.f64 5/24 (pow.f64 x 2)) 1/2)
(fma.f64 5/24 (*.f64 x x) -1/2)
(-.f64 (*.f64 5/24 (pow.f64 x 2)) 1/2)
(fma.f64 5/24 (*.f64 x x) -1/2)
(-.f64 (*.f64 5/24 (pow.f64 x 2)) 1/2)
(fma.f64 5/24 (*.f64 x x) -1/2)
(+.f64 (exp.f64 (log1p.f64 (.f64 5/24 (.f64 x x)))) -1)
(.f64 5/24 (.f64 x x))
(-.f64 (exp.f64 (log1p.f64 (.f64 5/24 (.f64 x x)))) 1)
(.f64 5/24 (.f64 x x))
(/.f64 (-.f64 (.f64 (exp.f64 (log1p.f64 (.f64 5/24 (.f64 x x)))) (exp.f64 (log1p.f64 (.f64 5/24 (.f64 x x))))) 1) (+.f64 (exp.f64 (log1p.f64 (.f64 5/24 (*.f64 x x)))) 1))
(/.f64 (.f64 (+.f64 (exp.f64 (log1p.f64 (.f64 5/24 (.f64 x x)))) 1) (.f64 5/24 (.f64 x x))) (+.f64 (exp.f64 (log1p.f64 (.f64 5/24 (*.f64 x x)))) 1))
(/.f64 (expm1.f64 (.f64 2 (log1p.f64 (.f64 5/24 (.f64 x x))))) (+.f64 (exp.f64 (log1p.f64 (.f64 5/24 (*.f64 x x)))) 1))
(pow.f64 (.f64 5/24 (.f64 x x)) 1)
(.f64 5/24 (.f64 x x))
(pow.f64 (*.f64 x (sqrt.f64 5/24)) 2)
(pow.f64 (cbrt.f64 (.f64 5/24 (.f64 x x))) 3)
(.f64 5/24 (.f64 x x))
(pow.f64 (*.f64 (pow.f64 x 6) 125/13824) 1/3)
(cbrt.f64 (*.f64 (pow.f64 x 6) 125/13824))
(sqrt.f64 (*.f64 (pow.f64 x 4) 25/576))
(log.f64 (pow.f64 (exp.f64 5/24) (*.f64 x x)))
(.f64 5/24 (.f64 x x))
(log.f64 (+.f64 1 (expm1.f64 (.f64 5/24 (.f64 x x)))))
(.f64 5/24 (.f64 x x))
(cbrt.f64 (*.f64 (pow.f64 x 6) 125/13824))
(expm1.f64 (log1p.f64 (.f64 5/24 (.f64 x x))))
(.f64 5/24 (.f64 x x))
(exp.f64 (log.f64 (.f64 5/24 (.f64 x x))))
(.f64 5/24 (.f64 x x))
(log1p.f64 (expm1.f64 (.f64 5/24 (.f64 x x))))
(.f64 5/24 (.f64 x x))
(+.f64 (.f64 5/24 (pow.f64 x 4)) (.f64 x (*.f64 x -1/2)))
(fma.f64 5/24 (pow.f64 x 4) (.f64 x (.f64 x -1/2)))
(.f64 (.f64 x x) (fma.f64 5/24 (*.f64 x x) -1/2))
(+.f64 (.f64 x (.f64 x -1/2)) (*.f64 5/24 (pow.f64 x 4)))
(fma.f64 5/24 (pow.f64 x 4) (.f64 x (.f64 x -1/2)))
(.f64 (.f64 x x) (fma.f64 5/24 (*.f64 x x) -1/2))
(+.f64 (exp.f64 (log1p.f64 (.f64 x (.f64 x (fma.f64 5/24 (*.f64 x x) -1/2))))) -1)
(fma.f64 5/24 (pow.f64 x 4) (.f64 x (.f64 x -1/2)))
(.f64 (.f64 x x) (fma.f64 5/24 (*.f64 x x) -1/2))
(-.f64 (exp.f64 (log1p.f64 (.f64 x (.f64 x (fma.f64 5/24 (*.f64 x x) -1/2))))) 1)
(fma.f64 5/24 (pow.f64 x 4) (.f64 x (.f64 x -1/2)))
(.f64 (.f64 x x) (fma.f64 5/24 (*.f64 x x) -1/2))
(/.f64 (.f64 x x) (/.f64 1 (fma.f64 5/24 (.f64 x x) -1/2)))
(fma.f64 5/24 (pow.f64 x 4) (.f64 x (.f64 x -1/2)))
(.f64 (.f64 x x) (fma.f64 5/24 (*.f64 x x) -1/2))
(/.f64 (+.f64 (.f64 (pow.f64 x 4) 25/576) -1/4) (/.f64 (fma.f64 5/24 (.f64 x x) 1/2) (*.f64 x x)))
(.f64 (/.f64 (fma.f64 (pow.f64 x 4) 25/576 -1/4) (fma.f64 5/24 (.f64 x x) 1/2)) (*.f64 x x))
(.f64 (.f64 x x) (/.f64 (fma.f64 (pow.f64 x 4) 25/576 -1/4) (fma.f64 5/24 (*.f64 x x) 1/2)))
(/.f64 (+.f64 -1/8 (.f64 (pow.f64 x 6) 125/13824)) (/.f64 (+.f64 (.f64 (pow.f64 x 4) 25/576) (+.f64 1/4 (.f64 (.f64 x x) 5/48))) (*.f64 x x)))
(.f64 (/.f64 (+.f64 (.f64 (pow.f64 x 6) 125/13824) -1/8) (+.f64 (fma.f64 (pow.f64 x 4) 25/576 1/4) (.f64 (.f64 x x) 5/48))) (*.f64 x x))
(/.f64 (.f64 x (.f64 x (fma.f64 (pow.f64 x 6) 125/13824 -1/8))) (fma.f64 (pow.f64 x 4) 25/576 (fma.f64 x (*.f64 x 5/48) 1/4)))
(/.f64 (.f64 (.f64 x x) (+.f64 -1/8 (.f64 (pow.f64 x 6) 125/13824))) (+.f64 (.f64 (pow.f64 x 4) 25/576) (+.f64 1/4 (.f64 (.f64 x x) 5/48))))
(.f64 (/.f64 (+.f64 (.f64 (pow.f64 x 6) 125/13824) -1/8) (+.f64 (fma.f64 (pow.f64 x 4) 25/576 1/4) (.f64 (.f64 x x) 5/48))) (*.f64 x x))
(/.f64 (.f64 x (.f64 x (fma.f64 (pow.f64 x 6) 125/13824 -1/8))) (fma.f64 (pow.f64 x 4) 25/576 (fma.f64 x (*.f64 x 5/48) 1/4)))
(/.f64 (.f64 (.f64 x x) (+.f64 (.f64 (pow.f64 x 4) 25/576) -1/4)) (fma.f64 5/24 (.f64 x x) 1/2))
(.f64 (/.f64 (fma.f64 (pow.f64 x 4) 25/576 -1/4) (fma.f64 5/24 (.f64 x x) 1/2)) (*.f64 x x))
(.f64 (.f64 x x) (/.f64 (fma.f64 (pow.f64 x 4) 25/576 -1/4) (fma.f64 5/24 (*.f64 x x) 1/2)))
(/.f64 (-.f64 (.f64 25/576 (pow.f64 x 8)) (.f64 (pow.f64 x 4) 1/4)) (.f64 (.f64 x x) (fma.f64 5/24 (*.f64 x x) 1/2)))
(/.f64 (fma.f64 25/576 (pow.f64 x 8) (.f64 (pow.f64 x 4) -1/4)) (.f64 x (.f64 x (fma.f64 5/24 (.f64 x x) 1/2))))
(/.f64 (+.f64 (pow.f64 (.f64 5/24 (pow.f64 x 4)) 3) (pow.f64 (.f64 x (.f64 x -1/2)) 3)) (+.f64 (.f64 25/576 (pow.f64 x 8)) (-.f64 (.f64 (pow.f64 x 4) 1/4) (.f64 (.f64 5/24 (pow.f64 x 4)) (.f64 x (*.f64 x -1/2))))))
(/.f64 (+.f64 (.f64 125/13824 (pow.f64 (pow.f64 x 4) 3)) (pow.f64 (.f64 x (.f64 x -1/2)) 3)) (fma.f64 25/576 (pow.f64 x 8) (-.f64 (.f64 (pow.f64 x 4) 1/4) (.f64 5/24 (.f64 (pow.f64 x 4) (.f64 x (.f64 x -1/2)))))))
(/.f64 (fma.f64 125/13824 (pow.f64 (pow.f64 x 4) 3) (.f64 (pow.f64 x 6) -1/8)) (fma.f64 25/576 (pow.f64 x 8) (fma.f64 (pow.f64 x 4) 1/4 (.f64 (.f64 x (.f64 x -1/2)) (*.f64 (pow.f64 x 4) -5/24)))))
(/.f64 (.f64 x (.f64 x (+.f64 (.f64 (pow.f64 x 4) 25/576) -1/4))) (fma.f64 5/24 (.f64 x x) 1/2))
(.f64 (/.f64 (fma.f64 (pow.f64 x 4) 25/576 -1/4) (fma.f64 5/24 (.f64 x x) 1/2)) (*.f64 x x))
(.f64 (.f64 x x) (/.f64 (fma.f64 (pow.f64 x 4) 25/576 -1/4) (fma.f64 5/24 (*.f64 x x) 1/2)))
(/.f64 (.f64 x (.f64 x (+.f64 -1/8 (.f64 (pow.f64 x 6) 125/13824)))) (+.f64 (.f64 (pow.f64 x 4) 25/576) (+.f64 1/4 (.f64 (.f64 x x) 5/48))))
(.f64 (/.f64 (+.f64 (.f64 (pow.f64 x 6) 125/13824) -1/8) (+.f64 (fma.f64 (pow.f64 x 4) 25/576 1/4) (.f64 (.f64 x x) 5/48))) (*.f64 x x))
(/.f64 (.f64 x (.f64 x (fma.f64 (pow.f64 x 6) 125/13824 -1/8))) (fma.f64 (pow.f64 x 4) 25/576 (fma.f64 x (*.f64 x 5/48) 1/4)))
(/.f64 (.f64 (.f64 x x) (+.f64 1/4 (.f64 -25/576 (pow.f64 x 4)))) (+.f64 -1/2 (.f64 (*.f64 x x) -5/24)))
(/.f64 (+.f64 1/4 (.f64 (pow.f64 x 4) -25/576)) (/.f64 (fma.f64 (.f64 x x) -5/24 -1/2) (*.f64 x x)))
(.f64 (/.f64 (.f64 x x) (fma.f64 x (*.f64 x -5/24) -1/2)) (fma.f64 (pow.f64 x 4) -25/576 1/4))
(/.f64 (.f64 (.f64 x x) (neg.f64 (+.f64 (.f64 (pow.f64 x 4) 25/576) -1/4))) (+.f64 (.f64 (*.f64 x x) -5/24) -1/2))
(/.f64 (+.f64 1/4 (.f64 (pow.f64 x 4) -25/576)) (/.f64 (fma.f64 (.f64 x x) -5/24 -1/2) (*.f64 x x)))
(.f64 (/.f64 (.f64 x x) (fma.f64 x (*.f64 x -5/24) -1/2)) (fma.f64 (pow.f64 x 4) -25/576 1/4))
(/.f64 (.f64 (.f64 x x) (+.f64 1/8 (neg.f64 (.f64 (pow.f64 x 6) 125/13824)))) (neg.f64 (+.f64 (.f64 (pow.f64 x 4) 25/576) (+.f64 1/4 (.f64 (.f64 x x) 5/48)))))
(/.f64 (.f64 x x) (/.f64 (neg.f64 (+.f64 (fma.f64 (pow.f64 x 4) 25/576 1/4) (.f64 (.f64 x x) 5/48))) (+.f64 1/8 (.f64 (pow.f64 x 6) -125/13824))))
(.f64 (/.f64 (fma.f64 (pow.f64 x 6) -125/13824 1/8) (-.f64 (.f64 (pow.f64 x 4) -25/576) (fma.f64 x (.f64 x 5/48) 1/4))) (.f64 x x))
(/.f64 (.f64 1 (.f64 (.f64 x x) (+.f64 (.f64 (pow.f64 x 4) 25/576) -1/4))) (fma.f64 5/24 (*.f64 x x) 1/2))
(.f64 (/.f64 (fma.f64 (pow.f64 x 4) 25/576 -1/4) (fma.f64 5/24 (.f64 x x) 1/2)) (*.f64 x x))
(.f64 (.f64 x x) (/.f64 (fma.f64 (pow.f64 x 4) 25/576 -1/4) (fma.f64 5/24 (*.f64 x x) 1/2)))
(/.f64 (.f64 1 (.f64 (.f64 x x) (+.f64 -1/8 (.f64 (pow.f64 x 6) 125/13824)))) (+.f64 (.f64 (pow.f64 x 4) 25/576) (+.f64 1/4 (.f64 (*.f64 x x) 5/48))))
(.f64 (/.f64 (+.f64 (.f64 (pow.f64 x 6) 125/13824) -1/8) (+.f64 (fma.f64 (pow.f64 x 4) 25/576 1/4) (.f64 (.f64 x x) 5/48))) (*.f64 x x))
(/.f64 (.f64 x (.f64 x (fma.f64 (pow.f64 x 6) 125/13824 -1/8))) (fma.f64 (pow.f64 x 4) 25/576 (fma.f64 x (*.f64 x 5/48) 1/4)))
(/.f64 (.f64 1 (-.f64 (.f64 25/576 (pow.f64 x 8)) (.f64 (pow.f64 x 4) 1/4))) (.f64 (.f64 x x) (fma.f64 5/24 (.f64 x x) 1/2)))
(/.f64 (-.f64 (.f64 25/576 (pow.f64 x 8)) (.f64 (pow.f64 x 4) 1/4)) (.f64 (.f64 x x) (fma.f64 5/24 (*.f64 x x) 1/2)))
(/.f64 (fma.f64 25/576 (pow.f64 x 8) (.f64 (pow.f64 x 4) -1/4)) (.f64 x (.f64 x (fma.f64 5/24 (.f64 x x) 1/2))))
(/.f64 (.f64 1 (+.f64 (pow.f64 (.f64 5/24 (pow.f64 x 4)) 3) (pow.f64 (.f64 x (.f64 x -1/2)) 3))) (+.f64 (.f64 25/576 (pow.f64 x 8)) (-.f64 (.f64 (pow.f64 x 4) 1/4) (.f64 (.f64 5/24 (pow.f64 x 4)) (.f64 x (.f64 x -1/2))))))
(/.f64 (+.f64 (.f64 125/13824 (pow.f64 (pow.f64 x 4) 3)) (pow.f64 (.f64 x (.f64 x -1/2)) 3)) (fma.f64 25/576 (pow.f64 x 8) (-.f64 (.f64 (pow.f64 x 4) 1/4) (.f64 5/24 (.f64 (pow.f64 x 4) (.f64 x (.f64 x -1/2)))))))
(/.f64 (fma.f64 125/13824 (pow.f64 (pow.f64 x 4) 3) (.f64 (pow.f64 x 6) -1/8)) (fma.f64 25/576 (pow.f64 x 8) (fma.f64 (pow.f64 x 4) 1/4 (.f64 (.f64 x (.f64 x -1/2)) (*.f64 (pow.f64 x 4) -5/24)))))
(/.f64 (.f64 (.f64 (.f64 x x) (sqrt.f64 (fma.f64 5/24 (.f64 x x) -1/2))) (sqrt.f64 (+.f64 (.f64 (pow.f64 x 4) 25/576) -1/4))) (sqrt.f64 (fma.f64 5/24 (.f64 x x) 1/2)))
(/.f64 (.f64 (.f64 x x) (sqrt.f64 (fma.f64 5/24 (.f64 x x) -1/2))) (/.f64 (sqrt.f64 (fma.f64 5/24 (.f64 x x) 1/2)) (sqrt.f64 (fma.f64 (pow.f64 x 4) 25/576 -1/4))))
(.f64 (/.f64 (.f64 (.f64 x x) (sqrt.f64 (fma.f64 5/24 (.f64 x x) -1/2))) (sqrt.f64 (fma.f64 5/24 (*.f64 x x) 1/2))) (sqrt.f64 (fma.f64 (pow.f64 x 4) 25/576 -1/4)))
(.f64 (.f64 (/.f64 (sqrt.f64 (fma.f64 5/24 (.f64 x x) -1/2)) (sqrt.f64 (fma.f64 5/24 (.f64 x x) 1/2))) (sqrt.f64 (fma.f64 (pow.f64 x 4) 25/576 -1/4))) (*.f64 x x))
(/.f64 (.f64 (.f64 (.f64 x x) (sqrt.f64 (fma.f64 5/24 (.f64 x x) -1/2))) (sqrt.f64 (+.f64 -1/8 (.f64 (pow.f64 x 6) 125/13824)))) (sqrt.f64 (+.f64 (.f64 (pow.f64 x 4) 25/576) (+.f64 1/4 (.f64 (.f64 x x) 5/48)))))
(/.f64 (.f64 (.f64 (.f64 x x) (sqrt.f64 (fma.f64 5/24 (.f64 x x) -1/2))) (sqrt.f64 (+.f64 (.f64 (pow.f64 x 6) 125/13824) -1/8))) (sqrt.f64 (+.f64 (fma.f64 (pow.f64 x 4) 25/576 1/4) (.f64 (*.f64 x x) 5/48))))
(.f64 (/.f64 (sqrt.f64 (fma.f64 (pow.f64 x 6) 125/13824 -1/8)) (sqrt.f64 (fma.f64 (pow.f64 x 4) 25/576 (fma.f64 x (.f64 x 5/48) 1/4)))) (.f64 (.f64 x x) (sqrt.f64 (fma.f64 5/24 (*.f64 x x) -1/2))))
(.f64 (.f64 (/.f64 (sqrt.f64 (fma.f64 5/24 (.f64 x x) -1/2)) (sqrt.f64 (fma.f64 (pow.f64 x 4) 25/576 (fma.f64 x (.f64 x 5/48) 1/4)))) (sqrt.f64 (fma.f64 (pow.f64 x 6) 125/13824 -1/8))) (*.f64 x x))
(/.f64 (.f64 (.f64 (.f64 x x) (pow.f64 (cbrt.f64 (fma.f64 5/24 (.f64 x x) -1/2)) 2)) (cbrt.f64 (+.f64 (.f64 (pow.f64 x 4) 25/576) -1/4))) (cbrt.f64 (fma.f64 5/24 (.f64 x x) 1/2)))
(/.f64 (.f64 x (.f64 x (pow.f64 (cbrt.f64 (fma.f64 5/24 (.f64 x x) -1/2)) 2))) (/.f64 (cbrt.f64 (fma.f64 5/24 (.f64 x x) 1/2)) (cbrt.f64 (fma.f64 (pow.f64 x 4) 25/576 -1/4))))
(.f64 (/.f64 (.f64 x (.f64 x (pow.f64 (cbrt.f64 (fma.f64 5/24 (.f64 x x) -1/2)) 2))) (cbrt.f64 (fma.f64 5/24 (*.f64 x x) 1/2))) (cbrt.f64 (fma.f64 (pow.f64 x 4) 25/576 -1/4)))
(.f64 (/.f64 (.f64 x x) (/.f64 (cbrt.f64 (fma.f64 5/24 (.f64 x x) 1/2)) (cbrt.f64 (fma.f64 (pow.f64 x 4) 25/576 -1/4)))) (pow.f64 (cbrt.f64 (fma.f64 5/24 (.f64 x x) -1/2)) 2))
(/.f64 (.f64 (.f64 (.f64 x x) (pow.f64 (cbrt.f64 (fma.f64 5/24 (.f64 x x) -1/2)) 2)) (cbrt.f64 (+.f64 -1/8 (.f64 (pow.f64 x 6) 125/13824)))) (cbrt.f64 (+.f64 (.f64 (pow.f64 x 4) 25/576) (+.f64 1/4 (.f64 (.f64 x x) 5/48)))))
(/.f64 (.f64 x (.f64 x (pow.f64 (cbrt.f64 (fma.f64 5/24 (.f64 x x) -1/2)) 2))) (/.f64 (cbrt.f64 (+.f64 (fma.f64 (pow.f64 x 4) 25/576 1/4) (.f64 (.f64 x x) 5/48))) (cbrt.f64 (+.f64 (.f64 (pow.f64 x 6) 125/13824) -1/8))))
(.f64 (/.f64 (.f64 x (.f64 x (pow.f64 (cbrt.f64 (fma.f64 5/24 (.f64 x x) -1/2)) 2))) (cbrt.f64 (fma.f64 (pow.f64 x 4) 25/576 (fma.f64 x (*.f64 x 5/48) 1/4)))) (cbrt.f64 (fma.f64 (pow.f64 x 6) 125/13824 -1/8)))
(.f64 (.f64 (/.f64 (cbrt.f64 (fma.f64 (pow.f64 x 6) 125/13824 -1/8)) (cbrt.f64 (fma.f64 (pow.f64 x 4) 25/576 (fma.f64 x (.f64 x 5/48) 1/4)))) (pow.f64 (cbrt.f64 (fma.f64 5/24 (.f64 x x) -1/2)) 2)) (*.f64 x x))
(/.f64 (.f64 (+.f64 1/4 (.f64 -25/576 (pow.f64 x 4))) (.f64 x x)) (+.f64 -1/2 (.f64 (*.f64 x x) -5/24)))
(/.f64 (+.f64 1/4 (.f64 (pow.f64 x 4) -25/576)) (/.f64 (fma.f64 (.f64 x x) -5/24 -1/2) (*.f64 x x)))
(.f64 (/.f64 (.f64 x x) (fma.f64 x (*.f64 x -5/24) -1/2)) (fma.f64 (pow.f64 x 4) -25/576 1/4))
(/.f64 (.f64 (neg.f64 (+.f64 (.f64 (pow.f64 x 4) 25/576) -1/4)) (.f64 x x)) (+.f64 (.f64 (*.f64 x x) -5/24) -1/2))
(/.f64 (+.f64 1/4 (.f64 (pow.f64 x 4) -25/576)) (/.f64 (fma.f64 (.f64 x x) -5/24 -1/2) (*.f64 x x)))
(.f64 (/.f64 (.f64 x x) (fma.f64 x (*.f64 x -5/24) -1/2)) (fma.f64 (pow.f64 x 4) -25/576 1/4))
(/.f64 (.f64 (+.f64 1/8 (neg.f64 (.f64 (pow.f64 x 6) 125/13824))) (.f64 x x)) (neg.f64 (+.f64 (.f64 (pow.f64 x 4) 25/576) (+.f64 1/4 (.f64 (.f64 x x) 5/48)))))
(/.f64 (.f64 x x) (/.f64 (neg.f64 (+.f64 (fma.f64 (pow.f64 x 4) 25/576 1/4) (.f64 (.f64 x x) 5/48))) (+.f64 1/8 (.f64 (pow.f64 x 6) -125/13824))))
(.f64 (/.f64 (fma.f64 (pow.f64 x 6) -125/13824 1/8) (-.f64 (.f64 (pow.f64 x 4) -25/576) (fma.f64 x (.f64 x 5/48) 1/4))) (.f64 x x))
(/.f64 (.f64 (.f64 (.f64 x x) (+.f64 (.f64 (pow.f64 x 4) 25/576) -1/4)) 1) (fma.f64 5/24 (*.f64 x x) 1/2))
(.f64 (/.f64 (fma.f64 (pow.f64 x 4) 25/576 -1/4) (fma.f64 5/24 (.f64 x x) 1/2)) (*.f64 x x))
(.f64 (.f64 x x) (/.f64 (fma.f64 (pow.f64 x 4) 25/576 -1/4) (fma.f64 5/24 (*.f64 x x) 1/2)))
(/.f64 (.f64 (.f64 (.f64 x x) (+.f64 -1/8 (.f64 (pow.f64 x 6) 125/13824))) 1) (+.f64 (.f64 (pow.f64 x 4) 25/576) (+.f64 1/4 (.f64 (*.f64 x x) 5/48))))
(.f64 (/.f64 (+.f64 (.f64 (pow.f64 x 6) 125/13824) -1/8) (+.f64 (fma.f64 (pow.f64 x 4) 25/576 1/4) (.f64 (.f64 x x) 5/48))) (*.f64 x x))
(/.f64 (.f64 x (.f64 x (fma.f64 (pow.f64 x 6) 125/13824 -1/8))) (fma.f64 (pow.f64 x 4) 25/576 (fma.f64 x (*.f64 x 5/48) 1/4)))
(/.f64 (.f64 (-.f64 (.f64 25/576 (pow.f64 x 8)) (.f64 (pow.f64 x 4) 1/4)) 1) (.f64 (.f64 x x) (fma.f64 5/24 (.f64 x x) 1/2)))
(/.f64 (-.f64 (.f64 25/576 (pow.f64 x 8)) (.f64 (pow.f64 x 4) 1/4)) (.f64 (.f64 x x) (fma.f64 5/24 (*.f64 x x) 1/2)))
(/.f64 (fma.f64 25/576 (pow.f64 x 8) (.f64 (pow.f64 x 4) -1/4)) (.f64 x (.f64 x (fma.f64 5/24 (.f64 x x) 1/2))))
(/.f64 (.f64 (+.f64 (pow.f64 (.f64 5/24 (pow.f64 x 4)) 3) (pow.f64 (.f64 x (.f64 x -1/2)) 3)) 1) (+.f64 (.f64 25/576 (pow.f64 x 8)) (-.f64 (.f64 (pow.f64 x 4) 1/4) (.f64 (.f64 5/24 (pow.f64 x 4)) (.f64 x (.f64 x -1/2))))))
(/.f64 (+.f64 (.f64 125/13824 (pow.f64 (pow.f64 x 4) 3)) (pow.f64 (.f64 x (.f64 x -1/2)) 3)) (fma.f64 25/576 (pow.f64 x 8) (-.f64 (.f64 (pow.f64 x 4) 1/4) (.f64 5/24 (.f64 (pow.f64 x 4) (.f64 x (.f64 x -1/2)))))))
(/.f64 (fma.f64 125/13824 (pow.f64 (pow.f64 x 4) 3) (.f64 (pow.f64 x 6) -1/8)) (fma.f64 25/576 (pow.f64 x 8) (fma.f64 (pow.f64 x 4) 1/4 (.f64 (.f64 x (.f64 x -1/2)) (*.f64 (pow.f64 x 4) -5/24)))))
(/.f64 (.f64 (sqrt.f64 (+.f64 (.f64 (pow.f64 x 4) 25/576) -1/4)) (.f64 (.f64 x x) (sqrt.f64 (fma.f64 5/24 (.f64 x x) -1/2)))) (sqrt.f64 (fma.f64 5/24 (.f64 x x) 1/2)))
(/.f64 (.f64 (.f64 x x) (sqrt.f64 (fma.f64 5/24 (.f64 x x) -1/2))) (/.f64 (sqrt.f64 (fma.f64 5/24 (.f64 x x) 1/2)) (sqrt.f64 (fma.f64 (pow.f64 x 4) 25/576 -1/4))))
(.f64 (/.f64 (.f64 (.f64 x x) (sqrt.f64 (fma.f64 5/24 (.f64 x x) -1/2))) (sqrt.f64 (fma.f64 5/24 (*.f64 x x) 1/2))) (sqrt.f64 (fma.f64 (pow.f64 x 4) 25/576 -1/4)))
(.f64 (.f64 (/.f64 (sqrt.f64 (fma.f64 5/24 (.f64 x x) -1/2)) (sqrt.f64 (fma.f64 5/24 (.f64 x x) 1/2))) (sqrt.f64 (fma.f64 (pow.f64 x 4) 25/576 -1/4))) (*.f64 x x))
(/.f64 (.f64 (sqrt.f64 (+.f64 -1/8 (.f64 (pow.f64 x 6) 125/13824))) (.f64 (.f64 x x) (sqrt.f64 (fma.f64 5/24 (.f64 x x) -1/2)))) (sqrt.f64 (+.f64 (.f64 (pow.f64 x 4) 25/576) (+.f64 1/4 (.f64 (.f64 x x) 5/48)))))
(/.f64 (.f64 (.f64 (.f64 x x) (sqrt.f64 (fma.f64 5/24 (.f64 x x) -1/2))) (sqrt.f64 (+.f64 (.f64 (pow.f64 x 6) 125/13824) -1/8))) (sqrt.f64 (+.f64 (fma.f64 (pow.f64 x 4) 25/576 1/4) (.f64 (*.f64 x x) 5/48))))
(.f64 (/.f64 (sqrt.f64 (fma.f64 (pow.f64 x 6) 125/13824 -1/8)) (sqrt.f64 (fma.f64 (pow.f64 x 4) 25/576 (fma.f64 x (.f64 x 5/48) 1/4)))) (.f64 (.f64 x x) (sqrt.f64 (fma.f64 5/24 (*.f64 x x) -1/2))))
(.f64 (.f64 (/.f64 (sqrt.f64 (fma.f64 5/24 (.f64 x x) -1/2)) (sqrt.f64 (fma.f64 (pow.f64 x 4) 25/576 (fma.f64 x (.f64 x 5/48) 1/4)))) (sqrt.f64 (fma.f64 (pow.f64 x 6) 125/13824 -1/8))) (*.f64 x x))
(/.f64 (.f64 (.f64 x (+.f64 (.f64 (pow.f64 x 4) 25/576) -1/4)) x) (fma.f64 5/24 (.f64 x x) 1/2))
(.f64 (/.f64 (fma.f64 (pow.f64 x 4) 25/576 -1/4) (fma.f64 5/24 (.f64 x x) 1/2)) (*.f64 x x))
(.f64 (.f64 x x) (/.f64 (fma.f64 (pow.f64 x 4) 25/576 -1/4) (fma.f64 5/24 (*.f64 x x) 1/2)))
(/.f64 (.f64 (.f64 x (+.f64 -1/8 (.f64 (pow.f64 x 6) 125/13824))) x) (+.f64 (.f64 (pow.f64 x 4) 25/576) (+.f64 1/4 (.f64 (.f64 x x) 5/48))))
(.f64 (/.f64 (+.f64 (.f64 (pow.f64 x 6) 125/13824) -1/8) (+.f64 (fma.f64 (pow.f64 x 4) 25/576 1/4) (.f64 (.f64 x x) 5/48))) (*.f64 x x))
(/.f64 (.f64 x (.f64 x (fma.f64 (pow.f64 x 6) 125/13824 -1/8))) (fma.f64 (pow.f64 x 4) 25/576 (fma.f64 x (*.f64 x 5/48) 1/4)))
(/.f64 (/.f64 (.f64 (.f64 x x) (+.f64 (.f64 (pow.f64 x 4) 25/576) -1/4)) 1) (fma.f64 5/24 (.f64 x x) 1/2))
(.f64 (/.f64 (fma.f64 (pow.f64 x 4) 25/576 -1/4) (fma.f64 5/24 (.f64 x x) 1/2)) (*.f64 x x))
(.f64 (.f64 x x) (/.f64 (fma.f64 (pow.f64 x 4) 25/576 -1/4) (fma.f64 5/24 (*.f64 x x) 1/2)))
(/.f64 (/.f64 (.f64 (.f64 x x) (+.f64 (.f64 (pow.f64 x 4) 25/576) -1/4)) (sqrt.f64 (fma.f64 5/24 (.f64 x x) 1/2))) (sqrt.f64 (fma.f64 5/24 (*.f64 x x) 1/2)))
(.f64 (/.f64 (fma.f64 (pow.f64 x 4) 25/576 -1/4) (fma.f64 5/24 (.f64 x x) 1/2)) (*.f64 x x))
(.f64 (.f64 x x) (/.f64 (fma.f64 (pow.f64 x 4) 25/576 -1/4) (fma.f64 5/24 (*.f64 x x) 1/2)))
(/.f64 (/.f64 (.f64 (.f64 x x) (+.f64 (.f64 (pow.f64 x 4) 25/576) -1/4)) (.f64 (cbrt.f64 (fma.f64 5/24 (.f64 x x) 1/2)) (cbrt.f64 (fma.f64 5/24 (.f64 x x) 1/2)))) (cbrt.f64 (fma.f64 5/24 (*.f64 x x) 1/2)))
(.f64 (/.f64 (fma.f64 (pow.f64 x 4) 25/576 -1/4) (fma.f64 5/24 (.f64 x x) 1/2)) (*.f64 x x))
(.f64 (.f64 x x) (/.f64 (fma.f64 (pow.f64 x 4) 25/576 -1/4) (fma.f64 5/24 (*.f64 x x) 1/2)))
(/.f64 (/.f64 (.f64 (.f64 x x) (+.f64 -1/8 (.f64 (pow.f64 x 6) 125/13824))) 1) (+.f64 (.f64 (pow.f64 x 4) 25/576) (+.f64 1/4 (.f64 (.f64 x x) 5/48))))
(.f64 (/.f64 (+.f64 (.f64 (pow.f64 x 6) 125/13824) -1/8) (+.f64 (fma.f64 (pow.f64 x 4) 25/576 1/4) (.f64 (.f64 x x) 5/48))) (*.f64 x x))
(/.f64 (.f64 x (.f64 x (fma.f64 (pow.f64 x 6) 125/13824 -1/8))) (fma.f64 (pow.f64 x 4) 25/576 (fma.f64 x (*.f64 x 5/48) 1/4)))
(/.f64 (/.f64 (.f64 (.f64 x x) (+.f64 -1/8 (.f64 (pow.f64 x 6) 125/13824))) (sqrt.f64 (+.f64 (.f64 (pow.f64 x 4) 25/576) (+.f64 1/4 (.f64 (.f64 x x) 5/48))))) (sqrt.f64 (+.f64 (.f64 (pow.f64 x 4) 25/576) (+.f64 1/4 (.f64 (*.f64 x x) 5/48)))))
(.f64 (/.f64 (+.f64 (.f64 (pow.f64 x 6) 125/13824) -1/8) (+.f64 (fma.f64 (pow.f64 x 4) 25/576 1/4) (.f64 (.f64 x x) 5/48))) (*.f64 x x))
(/.f64 (.f64 x (.f64 x (fma.f64 (pow.f64 x 6) 125/13824 -1/8))) (fma.f64 (pow.f64 x 4) 25/576 (fma.f64 x (*.f64 x 5/48) 1/4)))
(/.f64 (/.f64 (.f64 (.f64 x x) (+.f64 -1/8 (.f64 (pow.f64 x 6) 125/13824))) (.f64 (cbrt.f64 (+.f64 (.f64 (pow.f64 x 4) 25/576) (+.f64 1/4 (.f64 (.f64 x x) 5/48)))) (cbrt.f64 (+.f64 (.f64 (pow.f64 x 4) 25/576) (+.f64 1/4 (.f64 (.f64 x x) 5/48)))))) (cbrt.f64 (+.f64 (.f64 (pow.f64 x 4) 25/576) (+.f64 1/4 (.f64 (*.f64 x x) 5/48)))))
(.f64 (/.f64 (+.f64 (.f64 (pow.f64 x 6) 125/13824) -1/8) (+.f64 (fma.f64 (pow.f64 x 4) 25/576 1/4) (.f64 (.f64 x x) 5/48))) (*.f64 x x))
(/.f64 (.f64 x (.f64 x (fma.f64 (pow.f64 x 6) 125/13824 -1/8))) (fma.f64 (pow.f64 x 4) 25/576 (fma.f64 x (*.f64 x 5/48) 1/4)))
(/.f64 (-.f64 (.f64 (pow.f64 x 4) 1/4) (.f64 25/576 (pow.f64 x 8))) (-.f64 (.f64 x (.f64 x -1/2)) (*.f64 5/24 (pow.f64 x 4))))
(/.f64 (+.f64 (.f64 (pow.f64 x 4) 1/4) (.f64 -25/576 (pow.f64 x 8))) (+.f64 (.f64 x (.f64 x -1/2)) (*.f64 -5/24 (pow.f64 x 4))))
(/.f64 (fma.f64 (pow.f64 x 4) 1/4 (.f64 (pow.f64 x 8) -25/576)) (fma.f64 x (.f64 x -1/2) (*.f64 (pow.f64 x 4) -5/24)))
(/.f64 (-.f64 (.f64 (exp.f64 (log1p.f64 (.f64 x (.f64 x (fma.f64 5/24 (.f64 x x) -1/2))))) (exp.f64 (log1p.f64 (.f64 x (.f64 x (fma.f64 5/24 (.f64 x x) -1/2)))))) 1) (+.f64 (exp.f64 (log1p.f64 (.f64 x (.f64 x (fma.f64 5/24 (.f64 x x) -1/2))))) 1))
(/.f64 (.f64 (+.f64 1 (exp.f64 (log1p.f64 (.f64 (.f64 x x) (fma.f64 5/24 (.f64 x x) -1/2))))) (.f64 (.f64 x x) (fma.f64 5/24 (.f64 x x) -1/2))) (+.f64 1 (exp.f64 (log1p.f64 (.f64 (.f64 x x) (fma.f64 5/24 (.f64 x x) -1/2))))))
(/.f64 (expm1.f64 (.f64 2 (log1p.f64 (.f64 (.f64 x x) (fma.f64 5/24 (.f64 x x) -1/2))))) (+.f64 1 (exp.f64 (log1p.f64 (.f64 (.f64 x x) (fma.f64 5/24 (*.f64 x x) -1/2))))))
(pow.f64 (.f64 x (.f64 x (fma.f64 5/24 (*.f64 x x) -1/2))) 1)
(fma.f64 5/24 (pow.f64 x 4) (.f64 x (.f64 x -1/2)))
(.f64 (.f64 x x) (fma.f64 5/24 (*.f64 x x) -1/2))
(pow.f64 (.f64 x (sqrt.f64 (fma.f64 5/24 (.f64 x x) -1/2))) 2)
(fma.f64 5/24 (pow.f64 x 4) (.f64 x (.f64 x -1/2)))
(.f64 (.f64 x x) (fma.f64 5/24 (*.f64 x x) -1/2))
(pow.f64 (cbrt.f64 (.f64 x (.f64 x (fma.f64 5/24 (*.f64 x x) -1/2)))) 3)
(fma.f64 5/24 (pow.f64 x 4) (.f64 x (.f64 x -1/2)))
(.f64 (.f64 x x) (fma.f64 5/24 (*.f64 x x) -1/2))
(pow.f64 (pow.f64 (.f64 x (.f64 x (fma.f64 5/24 (*.f64 x x) -1/2))) 3) 1/3)
(fma.f64 5/24 (pow.f64 x 4) (.f64 x (.f64 x -1/2)))
(.f64 (.f64 x x) (fma.f64 5/24 (*.f64 x x) -1/2))
(sqrt.f64 (pow.f64 (.f64 x (sqrt.f64 (fma.f64 5/24 (.f64 x x) -1/2))) 4))
(fabs.f64 (.f64 (.f64 x x) (fma.f64 5/24 (*.f64 x x) -1/2)))
(log.f64 (pow.f64 (pow.f64 (exp.f64 x) x) (fma.f64 5/24 (*.f64 x x) -1/2)))
(.f64 (fma.f64 5/24 (.f64 x x) -1/2) (log.f64 (pow.f64 (exp.f64 x) x)))
(.f64 (fma.f64 5/24 (.f64 x x) -1/2) (*.f64 x (log.f64 (exp.f64 x))))
(log.f64 (+.f64 1 (expm1.f64 (.f64 x (.f64 x (fma.f64 5/24 (*.f64 x x) -1/2))))))
(fma.f64 5/24 (pow.f64 x 4) (.f64 x (.f64 x -1/2)))
(.f64 (.f64 x x) (fma.f64 5/24 (*.f64 x x) -1/2))
(cbrt.f64 (pow.f64 (.f64 x (.f64 x (fma.f64 5/24 (*.f64 x x) -1/2))) 3))
(fma.f64 5/24 (pow.f64 x 4) (.f64 x (.f64 x -1/2)))
(.f64 (.f64 x x) (fma.f64 5/24 (*.f64 x x) -1/2))
(cbrt.f64 (.f64 (pow.f64 (fma.f64 5/24 (.f64 x x) -1/2) 3) (pow.f64 x 6)))
(fma.f64 5/24 (pow.f64 x 4) (.f64 x (.f64 x -1/2)))
(.f64 (.f64 x x) (fma.f64 5/24 (*.f64 x x) -1/2))
(expm1.f64 (log1p.f64 (.f64 x (.f64 x (fma.f64 5/24 (*.f64 x x) -1/2)))))
(fma.f64 5/24 (pow.f64 x 4) (.f64 x (.f64 x -1/2)))
(.f64 (.f64 x x) (fma.f64 5/24 (*.f64 x x) -1/2))
(exp.f64 (log.f64 (.f64 x (.f64 x (fma.f64 5/24 (*.f64 x x) -1/2)))))
(fma.f64 5/24 (pow.f64 x 4) (.f64 x (.f64 x -1/2)))
(.f64 (.f64 x x) (fma.f64 5/24 (*.f64 x x) -1/2))
(log1p.f64 (expm1.f64 (.f64 x (.f64 x (fma.f64 5/24 (*.f64 x x) -1/2)))))
(fma.f64 5/24 (pow.f64 x 4) (.f64 x (.f64 x -1/2)))
(.f64 (.f64 x x) (fma.f64 5/24 (*.f64 x x) -1/2))
(fma.f64 (.f64 x x) (.f64 5/24 (.f64 x x)) (.f64 x (*.f64 x -1/2)))
(fma.f64 5/24 (pow.f64 x 4) (.f64 x (.f64 x -1/2)))
(.f64 (.f64 x x) (fma.f64 5/24 (*.f64 x x) -1/2))
(fma.f64 (.f64 5/24 (.f64 x x)) (.f64 x x) (.f64 x (*.f64 x -1/2)))
(fma.f64 5/24 (pow.f64 x 4) (.f64 x (.f64 x -1/2)))
(.f64 (.f64 x x) (fma.f64 5/24 (*.f64 x x) -1/2))
(-.f64 (fma.f64 5/24 (*.f64 x x) 1/2) 1)
(fma.f64 5/24 (*.f64 x x) -1/2)
(-.f64 (exp.f64 (log1p.f64 (.f64 5/24 (.f64 x x)))) 3/2)
(fma.f64 5/24 (*.f64 x x) -1/2)
(-.f64 (/.f64 (pow.f64 x 4) (/.f64 (fma.f64 5/24 (.f64 x x) 1/2) 25/576)) (/.f64 1/4 (fma.f64 5/24 (.f64 x x) 1/2)))
(-.f64 (.f64 (/.f64 (pow.f64 x 4) (fma.f64 5/24 (.f64 x x) 1/2)) 25/576) (/.f64 1/4 (fma.f64 5/24 (*.f64 x x) 1/2)))
(fma.f64 (/.f64 (pow.f64 x 4) (fma.f64 5/24 (.f64 x x) 1/2)) 25/576 (/.f64 -1/4 (fma.f64 5/24 (.f64 x x) 1/2)))
(-.f64 (+.f64 -1/2 (exp.f64 (log1p.f64 (.f64 5/24 (.f64 x x))))) 1)
(fma.f64 5/24 (*.f64 x x) -1/2)
(.f64 (fma.f64 5/24 (.f64 x x) -1/2) 1)
(fma.f64 5/24 (*.f64 x x) -1/2)
(.f64 1 (fma.f64 5/24 (.f64 x x) -1/2))
(fma.f64 5/24 (*.f64 x x) -1/2)
(.f64 (sqrt.f64 (fma.f64 5/24 (.f64 x x) -1/2)) (sqrt.f64 (fma.f64 5/24 (*.f64 x x) -1/2)))
(fma.f64 5/24 (*.f64 x x) -1/2)
(.f64 (cbrt.f64 (fma.f64 5/24 (.f64 x x) -1/2)) (pow.f64 (cbrt.f64 (fma.f64 5/24 (*.f64 x x) -1/2)) 2))
(fma.f64 5/24 (*.f64 x x) -1/2)
(.f64 (pow.f64 (cbrt.f64 (fma.f64 5/24 (.f64 x x) -1/2)) 2) (cbrt.f64 (fma.f64 5/24 (*.f64 x x) -1/2)))
(fma.f64 5/24 (*.f64 x x) -1/2)
(.f64 (+.f64 (.f64 (pow.f64 x 4) 25/576) -1/4) (/.f64 1 (fma.f64 5/24 (*.f64 x x) 1/2)))
(.f64 (fma.f64 (pow.f64 x 4) 25/576 -1/4) (/.f64 1 (fma.f64 5/24 (.f64 x x) 1/2)))
(/.f64 (fma.f64 (pow.f64 x 4) 25/576 -1/4) (fma.f64 5/24 (*.f64 x x) 1/2))
(.f64 (+.f64 -1/8 (.f64 (pow.f64 x 6) 125/13824)) (/.f64 1 (+.f64 (.f64 (pow.f64 x 4) 25/576) (+.f64 1/4 (.f64 (*.f64 x x) 5/48)))))
(.f64 (+.f64 (.f64 (pow.f64 x 6) 125/13824) -1/8) (/.f64 1 (+.f64 (fma.f64 (pow.f64 x 4) 25/576 1/4) (.f64 (.f64 x x) 5/48))))
(/.f64 (fma.f64 (pow.f64 x 6) 125/13824 -1/8) (fma.f64 (pow.f64 x 4) 25/576 (fma.f64 x (*.f64 x 5/48) 1/4)))
(.f64 (+.f64 1/4 (.f64 -25/576 (pow.f64 x 4))) (/.f64 1 (+.f64 -1/2 (.f64 (.f64 x x) -5/24))))
(/.f64 (+.f64 1/4 (.f64 (pow.f64 x 4) -25/576)) (fma.f64 (.f64 x x) -5/24 -1/2))
(/.f64 (fma.f64 (pow.f64 x 4) -25/576 1/4) (fma.f64 x (*.f64 x -5/24) -1/2))
(.f64 (/.f64 1 (fma.f64 5/24 (.f64 x x) 1/2)) (+.f64 (*.f64 (pow.f64 x 4) 25/576) -1/4))
(.f64 (fma.f64 (pow.f64 x 4) 25/576 -1/4) (/.f64 1 (fma.f64 5/24 (.f64 x x) 1/2)))
(/.f64 (fma.f64 (pow.f64 x 4) 25/576 -1/4) (fma.f64 5/24 (*.f64 x x) 1/2))
(.f64 (/.f64 1 (+.f64 (.f64 (pow.f64 x 4) 25/576) (+.f64 1/4 (.f64 (.f64 x x) 5/48)))) (+.f64 -1/8 (*.f64 (pow.f64 x 6) 125/13824)))
(.f64 (+.f64 (.f64 (pow.f64 x 6) 125/13824) -1/8) (/.f64 1 (+.f64 (fma.f64 (pow.f64 x 4) 25/576 1/4) (.f64 (.f64 x x) 5/48))))
(/.f64 (fma.f64 (pow.f64 x 6) 125/13824 -1/8) (fma.f64 (pow.f64 x 4) 25/576 (fma.f64 x (*.f64 x 5/48) 1/4)))
(.f64 (neg.f64 (+.f64 (.f64 (pow.f64 x 4) 25/576) -1/4)) (/.f64 1 (+.f64 (.f64 (.f64 x x) -5/24) -1/2)))
(/.f64 (+.f64 1/4 (.f64 (pow.f64 x 4) -25/576)) (fma.f64 (.f64 x x) -5/24 -1/2))
(/.f64 (fma.f64 (pow.f64 x 4) -25/576 1/4) (fma.f64 x (*.f64 x -5/24) -1/2))
(.f64 (+.f64 1/8 (neg.f64 (.f64 (pow.f64 x 6) 125/13824))) (/.f64 1 (neg.f64 (+.f64 (.f64 (pow.f64 x 4) 25/576) (+.f64 1/4 (.f64 (*.f64 x x) 5/48))))))
(/.f64 (+.f64 1/8 (.f64 (pow.f64 x 6) -125/13824)) (neg.f64 (+.f64 (fma.f64 (pow.f64 x 4) 25/576 1/4) (.f64 (*.f64 x x) 5/48))))
(/.f64 (fma.f64 (pow.f64 x 6) -125/13824 1/8) (-.f64 (.f64 (pow.f64 x 4) -25/576) (fma.f64 x (.f64 x 5/48) 1/4)))
(.f64 (/.f64 (+.f64 (.f64 (pow.f64 x 4) 25/576) -1/4) (+.f64 (.f64 (pow.f64 x 4) 25/576) -1/4)) (fma.f64 5/24 (.f64 x x) -1/2))
(fma.f64 5/24 (*.f64 x x) -1/2)
(.f64 (/.f64 (+.f64 (.f64 (pow.f64 x 4) 25/576) -1/4) (+.f64 (.f64 (pow.f64 x 6) 125/13824) 1/8)) (+.f64 (.f64 (pow.f64 x 4) 25/576) (+.f64 1/4 (.f64 (.f64 x x) -5/48))))
(.f64 (/.f64 (fma.f64 (pow.f64 x 4) 25/576 -1/4) (fma.f64 (pow.f64 x 6) 125/13824 1/8)) (+.f64 (fma.f64 (pow.f64 x 4) 25/576 1/4) (.f64 x (*.f64 x -5/48))))
(.f64 (/.f64 (fma.f64 (pow.f64 x 4) 25/576 -1/4) (fma.f64 (pow.f64 x 6) 125/13824 1/8)) (fma.f64 (pow.f64 x 4) 25/576 (fma.f64 x (.f64 x -5/48) 1/4)))
(.f64 (/.f64 (+.f64 -1/8 (.f64 (pow.f64 x 6) 125/13824)) (-.f64 (.f64 625/331776 (pow.f64 x 8)) (pow.f64 (+.f64 1/4 (.f64 (.f64 x x) 5/48)) 2))) (-.f64 (.f64 (pow.f64 x 4) 25/576) (+.f64 1/4 (.f64 (.f64 x x) 5/48))))
(.f64 (/.f64 (+.f64 (.f64 (pow.f64 x 6) 125/13824) -1/8) (-.f64 (.f64 (pow.f64 x 8) 625/331776) (pow.f64 (+.f64 1/4 (.f64 (.f64 x x) 5/48)) 2))) (-.f64 (.f64 (pow.f64 x 4) 25/576) (+.f64 1/4 (.f64 (.f64 x x) 5/48))))
(.f64 (/.f64 (fma.f64 (pow.f64 x 6) 125/13824 -1/8) (-.f64 (.f64 (pow.f64 x 8) 625/331776) (pow.f64 (fma.f64 x (.f64 x 5/48) 1/4) 2))) (+.f64 (fma.f64 (pow.f64 x 4) 25/576 -1/4) (.f64 x (*.f64 x -5/48))))
(.f64 (/.f64 (+.f64 -1/8 (.f64 (pow.f64 x 6) 125/13824)) (+.f64 (pow.f64 (.f64 (pow.f64 x 4) 25/576) 3) (pow.f64 (+.f64 1/4 (.f64 (.f64 x x) 5/48)) 3))) (+.f64 (.f64 625/331776 (pow.f64 x 8)) (.f64 (+.f64 1/4 (.f64 (.f64 x x) 5/48)) (-.f64 (+.f64 1/4 (.f64 (.f64 x x) 5/48)) (.f64 (pow.f64 x 4) 25/576)))))
(.f64 (/.f64 (+.f64 (.f64 (pow.f64 x 6) 125/13824) -1/8) (+.f64 (.f64 (pow.f64 (pow.f64 x 4) 3) 15625/191102976) (pow.f64 (+.f64 1/4 (.f64 (.f64 x x) 5/48)) 3))) (fma.f64 625/331776 (pow.f64 x 8) (.f64 (+.f64 1/4 (.f64 (.f64 x x) 5/48)) (+.f64 1/4 (-.f64 (.f64 (.f64 x x) 5/48) (*.f64 (pow.f64 x 4) 25/576))))))
(/.f64 (.f64 (fma.f64 (pow.f64 x 6) 125/13824 -1/8) (fma.f64 (fma.f64 x (.f64 x 5/48) 1/4) (+.f64 1/4 (fma.f64 x (.f64 x 5/48) (.f64 (pow.f64 x 4) -25/576))) (.f64 (pow.f64 x 8) 625/331776))) (fma.f64 (pow.f64 (pow.f64 x 4) 3) 15625/191102976 (pow.f64 (fma.f64 x (.f64 x 5/48) 1/4) 3)))
(.f64 (.f64 (sqrt.f64 (cbrt.f64 (fma.f64 5/24 (.f64 x x) -1/2))) (cbrt.f64 (fma.f64 5/24 (.f64 x x) -1/2))) (.f64 (sqrt.f64 (cbrt.f64 (fma.f64 5/24 (.f64 x x) -1/2))) (cbrt.f64 (fma.f64 5/24 (*.f64 x x) -1/2))))
(fma.f64 5/24 (*.f64 x x) -1/2)
(.f64 (.f64 (cbrt.f64 (sqrt.f64 (fma.f64 5/24 (.f64 x x) -1/2))) (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 5/24 (.f64 x x) -1/2)) 2))) (.f64 (cbrt.f64 (sqrt.f64 (fma.f64 5/24 (.f64 x x) -1/2))) (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 5/24 (*.f64 x x) -1/2)) 2))))
(.f64 (pow.f64 (cbrt.f64 (fma.f64 5/24 (.f64 x x) -1/2)) 2) (.f64 (cbrt.f64 (sqrt.f64 (fma.f64 5/24 (.f64 x x) -1/2))) (cbrt.f64 (sqrt.f64 (fma.f64 5/24 (*.f64 x x) -1/2)))))
(.f64 (.f64 (cbrt.f64 (fma.f64 5/24 (.f64 x x) -1/2)) (sqrt.f64 (cbrt.f64 (fma.f64 5/24 (.f64 x x) -1/2)))) (.f64 (cbrt.f64 (fma.f64 5/24 (.f64 x x) -1/2)) (sqrt.f64 (cbrt.f64 (fma.f64 5/24 (*.f64 x x) -1/2)))))
(fma.f64 5/24 (*.f64 x x) -1/2)
(.f64 (.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 5/24 (.f64 x x) -1/2)) 2)) (cbrt.f64 (sqrt.f64 (fma.f64 5/24 (.f64 x x) -1/2)))) (.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 5/24 (.f64 x x) -1/2)) 2)) (cbrt.f64 (sqrt.f64 (fma.f64 5/24 (*.f64 x x) -1/2)))))
(.f64 (.f64 (cbrt.f64 (sqrt.f64 (fma.f64 5/24 (.f64 x x) -1/2))) (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 5/24 (.f64 x x) -1/2)) 2))) (.f64 (cbrt.f64 (sqrt.f64 (fma.f64 5/24 (.f64 x x) -1/2))) (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 5/24 (*.f64 x x) -1/2)) 2))))
(.f64 (pow.f64 (cbrt.f64 (fma.f64 5/24 (.f64 x x) -1/2)) 2) (.f64 (cbrt.f64 (sqrt.f64 (fma.f64 5/24 (.f64 x x) -1/2))) (cbrt.f64 (sqrt.f64 (fma.f64 5/24 (*.f64 x x) -1/2)))))
(.f64 (pow.f64 (cbrt.f64 (fma.f64 5/24 (.f64 x x) -1/2)) 3/2) (pow.f64 (cbrt.f64 (fma.f64 5/24 (*.f64 x x) -1/2)) 3/2))
(fma.f64 5/24 (*.f64 x x) -1/2)
(.f64 (pow.f64 (pow.f64 (fma.f64 5/24 (.f64 x x) -1/2) 3) 1/6) (pow.f64 (pow.f64 (fma.f64 5/24 (*.f64 x x) -1/2) 3) 1/6))
(fma.f64 5/24 (*.f64 x x) -1/2)
(/.f64 1 (/.f64 1 (fma.f64 5/24 (*.f64 x x) -1/2)))
(fma.f64 5/24 (*.f64 x x) -1/2)
(/.f64 (+.f64 (.f64 (pow.f64 x 4) 25/576) -1/4) (fma.f64 5/24 (.f64 x x) 1/2))
(.f64 (fma.f64 (pow.f64 x 4) 25/576 -1/4) (/.f64 1 (fma.f64 5/24 (.f64 x x) 1/2)))
(/.f64 (fma.f64 (pow.f64 x 4) 25/576 -1/4) (fma.f64 5/24 (*.f64 x x) 1/2))
(/.f64 (+.f64 -1/8 (.f64 (pow.f64 x 6) 125/13824)) (+.f64 (.f64 (pow.f64 x 4) 25/576) (+.f64 1/4 (.f64 (.f64 x x) 5/48))))
(.f64 (+.f64 (.f64 (pow.f64 x 6) 125/13824) -1/8) (/.f64 1 (+.f64 (fma.f64 (pow.f64 x 4) 25/576 1/4) (.f64 (.f64 x x) 5/48))))
(/.f64 (fma.f64 (pow.f64 x 6) 125/13824 -1/8) (fma.f64 (pow.f64 x 4) 25/576 (fma.f64 x (*.f64 x 5/48) 1/4)))
(/.f64 (sqrt.f64 (+.f64 (.f64 (pow.f64 x 4) 25/576) -1/4)) (/.f64 (fma.f64 5/24 (.f64 x x) 1/2) (sqrt.f64 (+.f64 (*.f64 (pow.f64 x 4) 25/576) -1/4))))
(.f64 (/.f64 (sqrt.f64 (fma.f64 (pow.f64 x 4) 25/576 -1/4)) (fma.f64 5/24 (.f64 x x) 1/2)) (sqrt.f64 (fma.f64 (pow.f64 x 4) 25/576 -1/4)))
(.f64 (sqrt.f64 (fma.f64 (pow.f64 x 4) 25/576 -1/4)) (/.f64 (sqrt.f64 (fma.f64 (pow.f64 x 4) 25/576 -1/4)) (fma.f64 5/24 (.f64 x x) 1/2)))
(/.f64 (sqrt.f64 (+.f64 -1/8 (.f64 (pow.f64 x 6) 125/13824))) (/.f64 (+.f64 (.f64 (pow.f64 x 4) 25/576) (+.f64 1/4 (.f64 (.f64 x x) 5/48))) (sqrt.f64 (+.f64 -1/8 (*.f64 (pow.f64 x 6) 125/13824)))))
(.f64 (/.f64 (sqrt.f64 (+.f64 (.f64 (pow.f64 x 6) 125/13824) -1/8)) (+.f64 (fma.f64 (pow.f64 x 4) 25/576 1/4) (.f64 (.f64 x x) 5/48))) (sqrt.f64 (+.f64 (*.f64 (pow.f64 x 6) 125/13824) -1/8)))
(.f64 (sqrt.f64 (fma.f64 (pow.f64 x 6) 125/13824 -1/8)) (/.f64 (sqrt.f64 (fma.f64 (pow.f64 x 6) 125/13824 -1/8)) (fma.f64 (pow.f64 x 4) 25/576 (fma.f64 x (.f64 x 5/48) 1/4))))
(/.f64 (.f64 (cbrt.f64 (+.f64 (.f64 (pow.f64 x 4) 25/576) -1/4)) (cbrt.f64 (+.f64 (.f64 (pow.f64 x 4) 25/576) -1/4))) (/.f64 (fma.f64 5/24 (.f64 x x) 1/2) (cbrt.f64 (+.f64 (*.f64 (pow.f64 x 4) 25/576) -1/4))))
(/.f64 (cbrt.f64 (fma.f64 (pow.f64 x 4) 25/576 -1/4)) (/.f64 (/.f64 (fma.f64 5/24 (*.f64 x x) 1/2) (cbrt.f64 (fma.f64 (pow.f64 x 4) 25/576 -1/4))) (cbrt.f64 (fma.f64 (pow.f64 x 4) 25/576 -1/4))))
(.f64 (cbrt.f64 (fma.f64 (pow.f64 x 4) 25/576 -1/4)) (/.f64 (cbrt.f64 (fma.f64 (pow.f64 x 4) 25/576 -1/4)) (/.f64 (fma.f64 5/24 (.f64 x x) 1/2) (cbrt.f64 (fma.f64 (pow.f64 x 4) 25/576 -1/4)))))
(.f64 (cbrt.f64 (fma.f64 (pow.f64 x 4) 25/576 -1/4)) (.f64 (/.f64 (cbrt.f64 (fma.f64 (pow.f64 x 4) 25/576 -1/4)) (fma.f64 5/24 (*.f64 x x) 1/2)) (cbrt.f64 (fma.f64 (pow.f64 x 4) 25/576 -1/4))))
(/.f64 (.f64 (cbrt.f64 (+.f64 -1/8 (.f64 (pow.f64 x 6) 125/13824))) (cbrt.f64 (+.f64 -1/8 (.f64 (pow.f64 x 6) 125/13824)))) (/.f64 (+.f64 (.f64 (pow.f64 x 4) 25/576) (+.f64 1/4 (.f64 (.f64 x x) 5/48))) (cbrt.f64 (+.f64 -1/8 (*.f64 (pow.f64 x 6) 125/13824)))))
(.f64 (/.f64 (.f64 (cbrt.f64 (+.f64 (.f64 (pow.f64 x 6) 125/13824) -1/8)) (cbrt.f64 (+.f64 (.f64 (pow.f64 x 6) 125/13824) -1/8))) (+.f64 (fma.f64 (pow.f64 x 4) 25/576 1/4) (.f64 (.f64 x x) 5/48))) (cbrt.f64 (+.f64 (*.f64 (pow.f64 x 6) 125/13824) -1/8)))
(/.f64 (cbrt.f64 (fma.f64 (pow.f64 x 6) 125/13824 -1/8)) (/.f64 (/.f64 (fma.f64 (pow.f64 x 4) 25/576 (fma.f64 x (*.f64 x 5/48) 1/4)) (cbrt.f64 (fma.f64 (pow.f64 x 6) 125/13824 -1/8))) (cbrt.f64 (fma.f64 (pow.f64 x 6) 125/13824 -1/8))))
(.f64 (/.f64 (cbrt.f64 (fma.f64 (pow.f64 x 6) 125/13824 -1/8)) (fma.f64 (pow.f64 x 4) 25/576 (fma.f64 x (.f64 x 5/48) 1/4))) (*.f64 (cbrt.f64 (fma.f64 (pow.f64 x 6) 125/13824 -1/8)) (cbrt.f64 (fma.f64 (pow.f64 x 6) 125/13824 -1/8))))
(/.f64 (+.f64 (pow.f64 (.f64 (pow.f64 x 6) 125/13824) 2) -1/64) (.f64 (+.f64 (.f64 (pow.f64 x 4) 25/576) (+.f64 1/4 (.f64 (.f64 x x) 5/48))) (+.f64 (.f64 (pow.f64 x 6) 125/13824) 1/8)))
(/.f64 (+.f64 (pow.f64 (.f64 (pow.f64 x 6) 125/13824) 2) -1/64) (.f64 (+.f64 (fma.f64 (pow.f64 x 4) 25/576 1/4) (.f64 (.f64 x x) 5/48)) (fma.f64 (pow.f64 x 6) 125/13824 1/8)))
(/.f64 (/.f64 (+.f64 (pow.f64 (.f64 (pow.f64 x 6) 125/13824) 2) -1/64) (fma.f64 (pow.f64 x 4) 25/576 (fma.f64 x (.f64 x 5/48) 1/4))) (fma.f64 (pow.f64 x 6) 125/13824 1/8))
(/.f64 (+.f64 1/4 (.f64 -25/576 (pow.f64 x 4))) (+.f64 -1/2 (.f64 (*.f64 x x) -5/24)))
(/.f64 (+.f64 1/4 (.f64 (pow.f64 x 4) -25/576)) (fma.f64 (.f64 x x) -5/24 -1/2))
(/.f64 (fma.f64 (pow.f64 x 4) -25/576 1/4) (fma.f64 x (*.f64 x -5/24) -1/2))
(/.f64 (+.f64 (.f64 625/331776 (pow.f64 x 8)) -1/16) (.f64 (fma.f64 5/24 (.f64 x x) 1/2) (+.f64 (.f64 (pow.f64 x 4) 25/576) 1/4)))
(/.f64 (fma.f64 625/331776 (pow.f64 x 8) -1/16) (.f64 (fma.f64 5/24 (.f64 x x) 1/2) (fma.f64 (pow.f64 x 4) 25/576 1/4)))
(/.f64 (/.f64 (fma.f64 (pow.f64 x 8) 625/331776 -1/16) (fma.f64 (pow.f64 x 4) 25/576 1/4)) (fma.f64 5/24 (*.f64 x x) 1/2))
(/.f64 (+.f64 -1/512 (pow.f64 (.f64 (pow.f64 x 6) 125/13824) 3)) (.f64 (+.f64 (.f64 (pow.f64 x 4) 25/576) (+.f64 1/4 (.f64 (.f64 x x) 5/48))) (+.f64 (pow.f64 (.f64 (pow.f64 x 6) 125/13824) 2) (-.f64 1/64 (.f64 -1/8 (.f64 (pow.f64 x 6) 125/13824))))))
(/.f64 (/.f64 (+.f64 -1/512 (pow.f64 (.f64 (pow.f64 x 6) 125/13824) 3)) (+.f64 (fma.f64 (pow.f64 x 4) 25/576 1/4) (.f64 (.f64 x x) 5/48))) (+.f64 (pow.f64 (.f64 (pow.f64 x 6) 125/13824) 2) (+.f64 1/64 (.f64 1/8 (.f64 (pow.f64 x 6) 125/13824)))))
(/.f64 (/.f64 (fma.f64 (pow.f64 (pow.f64 x 6) 3) 1953125/2641807540224 -1/512) (fma.f64 (pow.f64 x 4) 25/576 (fma.f64 x (.f64 x 5/48) 1/4))) (+.f64 1/64 (+.f64 (.f64 125/110592 (pow.f64 x 6)) (pow.f64 (*.f64 (pow.f64 x 6) 125/13824) 2))))
(/.f64 (/.f64 (fma.f64 (pow.f64 (pow.f64 x 6) 3) 1953125/2641807540224 -1/512) (fma.f64 (pow.f64 x 4) 25/576 (fma.f64 x (.f64 x 5/48) 1/4))) (+.f64 1/64 (+.f64 (pow.f64 (.f64 (pow.f64 x 6) 125/13824) 2) (*.f64 125/110592 (pow.f64 x 6)))))
(/.f64 (+.f64 (pow.f64 (.f64 (pow.f64 x 4) 25/576) 3) -1/64) (.f64 (fma.f64 5/24 (.f64 x x) 1/2) (+.f64 (.f64 625/331776 (pow.f64 x 8)) (+.f64 1/16 (*.f64 (pow.f64 x 4) 25/2304)))))
(/.f64 (+.f64 (.f64 (pow.f64 (pow.f64 x 4) 3) 15625/191102976) -1/64) (.f64 (fma.f64 5/24 (.f64 x x) 1/2) (fma.f64 625/331776 (pow.f64 x 8) (+.f64 1/16 (.f64 (pow.f64 x 4) 25/2304)))))
(/.f64 (/.f64 (fma.f64 (pow.f64 (pow.f64 x 4) 3) 15625/191102976 -1/64) (fma.f64 5/24 (*.f64 x x) 1/2)) (fma.f64 (pow.f64 x 8) 625/331776 (fma.f64 (pow.f64 x 4) 25/2304 1/16)))
(/.f64 (neg.f64 (+.f64 (.f64 (pow.f64 x 4) 25/576) -1/4)) (+.f64 (.f64 (*.f64 x x) -5/24) -1/2))
(/.f64 (+.f64 1/4 (.f64 (pow.f64 x 4) -25/576)) (fma.f64 (.f64 x x) -5/24 -1/2))
(/.f64 (fma.f64 (pow.f64 x 4) -25/576 1/4) (fma.f64 x (*.f64 x -5/24) -1/2))
(/.f64 (+.f64 1/8 (neg.f64 (.f64 (pow.f64 x 6) 125/13824))) (neg.f64 (+.f64 (.f64 (pow.f64 x 4) 25/576) (+.f64 1/4 (.f64 (.f64 x x) 5/48)))))
(/.f64 (+.f64 1/8 (.f64 (pow.f64 x 6) -125/13824)) (neg.f64 (+.f64 (fma.f64 (pow.f64 x 4) 25/576 1/4) (.f64 (*.f64 x x) 5/48))))
(/.f64 (fma.f64 (pow.f64 x 6) -125/13824 1/8) (-.f64 (.f64 (pow.f64 x 4) -25/576) (fma.f64 x (.f64 x 5/48) 1/4)))
(/.f64 (.f64 1 (+.f64 1/4 (.f64 -25/576 (pow.f64 x 4)))) (+.f64 -1/2 (.f64 (.f64 x x) -5/24)))
(/.f64 (+.f64 1/4 (.f64 (pow.f64 x 4) -25/576)) (fma.f64 (.f64 x x) -5/24 -1/2))
(/.f64 (fma.f64 (pow.f64 x 4) -25/576 1/4) (fma.f64 x (*.f64 x -5/24) -1/2))
(/.f64 (.f64 (sqrt.f64 (fma.f64 5/24 (.f64 x x) -1/2)) (sqrt.f64 (+.f64 (.f64 (pow.f64 x 4) 25/576) -1/4))) (sqrt.f64 (fma.f64 5/24 (.f64 x x) 1/2)))
(/.f64 (sqrt.f64 (fma.f64 (pow.f64 x 4) 25/576 -1/4)) (/.f64 (sqrt.f64 (fma.f64 5/24 (.f64 x x) 1/2)) (sqrt.f64 (fma.f64 5/24 (.f64 x x) -1/2))))
(.f64 (/.f64 (sqrt.f64 (fma.f64 5/24 (.f64 x x) -1/2)) (sqrt.f64 (fma.f64 5/24 (*.f64 x x) 1/2))) (sqrt.f64 (fma.f64 (pow.f64 x 4) 25/576 -1/4)))
(/.f64 (.f64 (sqrt.f64 (fma.f64 5/24 (.f64 x x) -1/2)) (sqrt.f64 (+.f64 -1/8 (.f64 (pow.f64 x 6) 125/13824)))) (sqrt.f64 (+.f64 (.f64 (pow.f64 x 4) 25/576) (+.f64 1/4 (.f64 (.f64 x x) 5/48)))))
(/.f64 (sqrt.f64 (fma.f64 5/24 (.f64 x x) -1/2)) (/.f64 (sqrt.f64 (+.f64 (fma.f64 (pow.f64 x 4) 25/576 1/4) (.f64 (.f64 x x) 5/48))) (sqrt.f64 (+.f64 (.f64 (pow.f64 x 6) 125/13824) -1/8))))
(.f64 (/.f64 (sqrt.f64 (fma.f64 5/24 (.f64 x x) -1/2)) (sqrt.f64 (fma.f64 (pow.f64 x 4) 25/576 (fma.f64 x (*.f64 x 5/48) 1/4)))) (sqrt.f64 (fma.f64 (pow.f64 x 6) 125/13824 -1/8)))
(/.f64 (.f64 (pow.f64 (cbrt.f64 (fma.f64 5/24 (.f64 x x) -1/2)) 2) (cbrt.f64 (+.f64 (.f64 (pow.f64 x 4) 25/576) -1/4))) (cbrt.f64 (fma.f64 5/24 (.f64 x x) 1/2)))
(/.f64 (pow.f64 (cbrt.f64 (fma.f64 5/24 (.f64 x x) -1/2)) 2) (/.f64 (cbrt.f64 (fma.f64 5/24 (.f64 x x) 1/2)) (cbrt.f64 (fma.f64 (pow.f64 x 4) 25/576 -1/4))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 5/24 (.f64 x x) -1/2)) 2) (cbrt.f64 (fma.f64 5/24 (*.f64 x x) 1/2))) (cbrt.f64 (fma.f64 (pow.f64 x 4) 25/576 -1/4)))
(/.f64 (.f64 (pow.f64 (cbrt.f64 (fma.f64 5/24 (.f64 x x) -1/2)) 2) (cbrt.f64 (+.f64 -1/8 (.f64 (pow.f64 x 6) 125/13824)))) (cbrt.f64 (+.f64 (.f64 (pow.f64 x 4) 25/576) (+.f64 1/4 (.f64 (.f64 x x) 5/48)))))
(/.f64 (pow.f64 (cbrt.f64 (fma.f64 5/24 (.f64 x x) -1/2)) 2) (/.f64 (cbrt.f64 (+.f64 (fma.f64 (pow.f64 x 4) 25/576 1/4) (.f64 (.f64 x x) 5/48))) (cbrt.f64 (+.f64 (.f64 (pow.f64 x 6) 125/13824) -1/8))))
(.f64 (/.f64 (cbrt.f64 (fma.f64 (pow.f64 x 6) 125/13824 -1/8)) (cbrt.f64 (fma.f64 (pow.f64 x 4) 25/576 (fma.f64 x (.f64 x 5/48) 1/4)))) (pow.f64 (cbrt.f64 (fma.f64 5/24 (*.f64 x x) -1/2)) 2))
(/.f64 (.f64 (+.f64 1/4 (.f64 -25/576 (pow.f64 x 4))) 1) (+.f64 -1/2 (.f64 (.f64 x x) -5/24)))
(/.f64 (+.f64 1/4 (.f64 (pow.f64 x 4) -25/576)) (fma.f64 (.f64 x x) -5/24 -1/2))
(/.f64 (fma.f64 (pow.f64 x 4) -25/576 1/4) (fma.f64 x (*.f64 x -5/24) -1/2))
(/.f64 (.f64 (neg.f64 (+.f64 (.f64 (pow.f64 x 4) 25/576) -1/4)) 1) (+.f64 (.f64 (.f64 x x) -5/24) -1/2))
(/.f64 (+.f64 1/4 (.f64 (pow.f64 x 4) -25/576)) (fma.f64 (.f64 x x) -5/24 -1/2))
(/.f64 (fma.f64 (pow.f64 x 4) -25/576 1/4) (fma.f64 x (*.f64 x -5/24) -1/2))
(/.f64 (.f64 (+.f64 1/8 (neg.f64 (.f64 (pow.f64 x 6) 125/13824))) 1) (neg.f64 (+.f64 (.f64 (pow.f64 x 4) 25/576) (+.f64 1/4 (.f64 (*.f64 x x) 5/48)))))
(/.f64 (+.f64 1/8 (.f64 (pow.f64 x 6) -125/13824)) (neg.f64 (+.f64 (fma.f64 (pow.f64 x 4) 25/576 1/4) (.f64 (*.f64 x x) 5/48))))
(/.f64 (fma.f64 (pow.f64 x 6) -125/13824 1/8) (-.f64 (.f64 (pow.f64 x 4) -25/576) (fma.f64 x (.f64 x 5/48) 1/4)))
(/.f64 (.f64 (sqrt.f64 (+.f64 (.f64 (pow.f64 x 4) 25/576) -1/4)) (sqrt.f64 (fma.f64 5/24 (.f64 x x) -1/2))) (sqrt.f64 (fma.f64 5/24 (.f64 x x) 1/2)))
(/.f64 (sqrt.f64 (fma.f64 (pow.f64 x 4) 25/576 -1/4)) (/.f64 (sqrt.f64 (fma.f64 5/24 (.f64 x x) 1/2)) (sqrt.f64 (fma.f64 5/24 (.f64 x x) -1/2))))
(.f64 (/.f64 (sqrt.f64 (fma.f64 5/24 (.f64 x x) -1/2)) (sqrt.f64 (fma.f64 5/24 (*.f64 x x) 1/2))) (sqrt.f64 (fma.f64 (pow.f64 x 4) 25/576 -1/4)))
(/.f64 (.f64 (sqrt.f64 (+.f64 -1/8 (.f64 (pow.f64 x 6) 125/13824))) (sqrt.f64 (fma.f64 5/24 (.f64 x x) -1/2))) (sqrt.f64 (+.f64 (.f64 (pow.f64 x 4) 25/576) (+.f64 1/4 (.f64 (.f64 x x) 5/48)))))
(/.f64 (sqrt.f64 (fma.f64 5/24 (.f64 x x) -1/2)) (/.f64 (sqrt.f64 (+.f64 (fma.f64 (pow.f64 x 4) 25/576 1/4) (.f64 (.f64 x x) 5/48))) (sqrt.f64 (+.f64 (.f64 (pow.f64 x 6) 125/13824) -1/8))))
(.f64 (/.f64 (sqrt.f64 (fma.f64 5/24 (.f64 x x) -1/2)) (sqrt.f64 (fma.f64 (pow.f64 x 4) 25/576 (fma.f64 x (*.f64 x 5/48) 1/4)))) (sqrt.f64 (fma.f64 (pow.f64 x 6) 125/13824 -1/8)))
(/.f64 (.f64 (cbrt.f64 (+.f64 (.f64 (pow.f64 x 4) 25/576) -1/4)) (pow.f64 (cbrt.f64 (fma.f64 5/24 (.f64 x x) -1/2)) 2)) (cbrt.f64 (fma.f64 5/24 (.f64 x x) 1/2)))
(/.f64 (pow.f64 (cbrt.f64 (fma.f64 5/24 (.f64 x x) -1/2)) 2) (/.f64 (cbrt.f64 (fma.f64 5/24 (.f64 x x) 1/2)) (cbrt.f64 (fma.f64 (pow.f64 x 4) 25/576 -1/4))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 5/24 (.f64 x x) -1/2)) 2) (cbrt.f64 (fma.f64 5/24 (*.f64 x x) 1/2))) (cbrt.f64 (fma.f64 (pow.f64 x 4) 25/576 -1/4)))
(/.f64 (.f64 (cbrt.f64 (+.f64 -1/8 (.f64 (pow.f64 x 6) 125/13824))) (pow.f64 (cbrt.f64 (fma.f64 5/24 (.f64 x x) -1/2)) 2)) (cbrt.f64 (+.f64 (.f64 (pow.f64 x 4) 25/576) (+.f64 1/4 (.f64 (.f64 x x) 5/48)))))
(/.f64 (pow.f64 (cbrt.f64 (fma.f64 5/24 (.f64 x x) -1/2)) 2) (/.f64 (cbrt.f64 (+.f64 (fma.f64 (pow.f64 x 4) 25/576 1/4) (.f64 (.f64 x x) 5/48))) (cbrt.f64 (+.f64 (.f64 (pow.f64 x 6) 125/13824) -1/8))))
(.f64 (/.f64 (cbrt.f64 (fma.f64 (pow.f64 x 6) 125/13824 -1/8)) (cbrt.f64 (fma.f64 (pow.f64 x 4) 25/576 (fma.f64 x (.f64 x 5/48) 1/4)))) (pow.f64 (cbrt.f64 (fma.f64 5/24 (*.f64 x x) -1/2)) 2))
(/.f64 (.f64 (+.f64 (.f64 625/331776 (pow.f64 x 8)) -1/16) (/.f64 1 (fma.f64 5/24 (.f64 x x) 1/2))) (+.f64 (.f64 (pow.f64 x 4) 25/576) 1/4))
(/.f64 (fma.f64 625/331776 (pow.f64 x 8) -1/16) (.f64 (fma.f64 5/24 (.f64 x x) 1/2) (fma.f64 (pow.f64 x 4) 25/576 1/4)))
(/.f64 (/.f64 (fma.f64 (pow.f64 x 8) 625/331776 -1/16) (fma.f64 (pow.f64 x 4) 25/576 1/4)) (fma.f64 5/24 (*.f64 x x) 1/2))
(/.f64 (.f64 (+.f64 (pow.f64 (.f64 (pow.f64 x 4) 25/576) 3) -1/64) (/.f64 1 (fma.f64 5/24 (.f64 x x) 1/2))) (+.f64 (.f64 625/331776 (pow.f64 x 8)) (+.f64 1/16 (*.f64 (pow.f64 x 4) 25/2304))))
(/.f64 (+.f64 (.f64 (pow.f64 (pow.f64 x 4) 3) 15625/191102976) -1/64) (.f64 (fma.f64 5/24 (.f64 x x) 1/2) (fma.f64 625/331776 (pow.f64 x 8) (+.f64 1/16 (.f64 (pow.f64 x 4) 25/2304)))))
(/.f64 (/.f64 (fma.f64 (pow.f64 (pow.f64 x 4) 3) 15625/191102976 -1/64) (fma.f64 5/24 (*.f64 x x) 1/2)) (fma.f64 (pow.f64 x 8) 625/331776 (fma.f64 (pow.f64 x 4) 25/2304 1/16)))
(/.f64 (.f64 (+.f64 (pow.f64 (.f64 (pow.f64 x 6) 125/13824) 2) -1/64) (/.f64 1 (+.f64 (.f64 (pow.f64 x 4) 25/576) (+.f64 1/4 (.f64 (.f64 x x) 5/48))))) (+.f64 (.f64 (pow.f64 x 6) 125/13824) 1/8))
(/.f64 (+.f64 (pow.f64 (.f64 (pow.f64 x 6) 125/13824) 2) -1/64) (.f64 (+.f64 (fma.f64 (pow.f64 x 4) 25/576 1/4) (.f64 (.f64 x x) 5/48)) (fma.f64 (pow.f64 x 6) 125/13824 1/8)))
(/.f64 (/.f64 (+.f64 (pow.f64 (.f64 (pow.f64 x 6) 125/13824) 2) -1/64) (fma.f64 (pow.f64 x 4) 25/576 (fma.f64 x (.f64 x 5/48) 1/4))) (fma.f64 (pow.f64 x 6) 125/13824 1/8))
(/.f64 (.f64 (+.f64 -1/512 (pow.f64 (.f64 (pow.f64 x 6) 125/13824) 3)) (/.f64 1 (+.f64 (.f64 (pow.f64 x 4) 25/576) (+.f64 1/4 (.f64 (.f64 x x) 5/48))))) (+.f64 (pow.f64 (.f64 (pow.f64 x 6) 125/13824) 2) (-.f64 1/64 (.f64 -1/8 (.f64 (pow.f64 x 6) 125/13824)))))
(/.f64 (/.f64 (+.f64 -1/512 (pow.f64 (.f64 (pow.f64 x 6) 125/13824) 3)) (+.f64 (fma.f64 (pow.f64 x 4) 25/576 1/4) (.f64 (.f64 x x) 5/48))) (+.f64 (pow.f64 (.f64 (pow.f64 x 6) 125/13824) 2) (+.f64 1/64 (.f64 1/8 (.f64 (pow.f64 x 6) 125/13824)))))
(/.f64 (/.f64 (fma.f64 (pow.f64 (pow.f64 x 6) 3) 1953125/2641807540224 -1/512) (fma.f64 (pow.f64 x 4) 25/576 (fma.f64 x (.f64 x 5/48) 1/4))) (+.f64 1/64 (+.f64 (.f64 125/110592 (pow.f64 x 6)) (pow.f64 (*.f64 (pow.f64 x 6) 125/13824) 2))))
(/.f64 (/.f64 (fma.f64 (pow.f64 (pow.f64 x 6) 3) 1953125/2641807540224 -1/512) (fma.f64 (pow.f64 x 4) 25/576 (fma.f64 x (.f64 x 5/48) 1/4))) (+.f64 1/64 (+.f64 (pow.f64 (.f64 (pow.f64 x 6) 125/13824) 2) (*.f64 125/110592 (pow.f64 x 6)))))
(/.f64 (/.f64 (+.f64 (.f64 (pow.f64 x 4) 25/576) -1/4) 1) (fma.f64 5/24 (.f64 x x) 1/2))
(.f64 (fma.f64 (pow.f64 x 4) 25/576 -1/4) (/.f64 1 (fma.f64 5/24 (.f64 x x) 1/2)))
(/.f64 (fma.f64 (pow.f64 x 4) 25/576 -1/4) (fma.f64 5/24 (*.f64 x x) 1/2))
(/.f64 (/.f64 (+.f64 (.f64 (pow.f64 x 4) 25/576) -1/4) (sqrt.f64 (fma.f64 5/24 (.f64 x x) 1/2))) (sqrt.f64 (fma.f64 5/24 (*.f64 x x) 1/2)))
(.f64 (fma.f64 (pow.f64 x 4) 25/576 -1/4) (/.f64 1 (fma.f64 5/24 (.f64 x x) 1/2)))
(/.f64 (fma.f64 (pow.f64 x 4) 25/576 -1/4) (fma.f64 5/24 (*.f64 x x) 1/2))
(/.f64 (/.f64 (+.f64 (.f64 (pow.f64 x 4) 25/576) -1/4) (.f64 (cbrt.f64 (fma.f64 5/24 (.f64 x x) 1/2)) (cbrt.f64 (fma.f64 5/24 (.f64 x x) 1/2)))) (cbrt.f64 (fma.f64 5/24 (*.f64 x x) 1/2)))
(.f64 (fma.f64 (pow.f64 x 4) 25/576 -1/4) (/.f64 1 (fma.f64 5/24 (.f64 x x) 1/2)))
(/.f64 (fma.f64 (pow.f64 x 4) 25/576 -1/4) (fma.f64 5/24 (*.f64 x x) 1/2))
(/.f64 (/.f64 (+.f64 -1/8 (.f64 (pow.f64 x 6) 125/13824)) 1) (+.f64 (.f64 (pow.f64 x 4) 25/576) (+.f64 1/4 (.f64 (.f64 x x) 5/48))))
(.f64 (+.f64 (.f64 (pow.f64 x 6) 125/13824) -1/8) (/.f64 1 (+.f64 (fma.f64 (pow.f64 x 4) 25/576 1/4) (.f64 (.f64 x x) 5/48))))
(/.f64 (fma.f64 (pow.f64 x 6) 125/13824 -1/8) (fma.f64 (pow.f64 x 4) 25/576 (fma.f64 x (*.f64 x 5/48) 1/4)))
(/.f64 (/.f64 (+.f64 -1/8 (.f64 (pow.f64 x 6) 125/13824)) (sqrt.f64 (+.f64 (.f64 (pow.f64 x 4) 25/576) (+.f64 1/4 (.f64 (.f64 x x) 5/48))))) (sqrt.f64 (+.f64 (.f64 (pow.f64 x 4) 25/576) (+.f64 1/4 (.f64 (*.f64 x x) 5/48)))))
(.f64 (+.f64 (.f64 (pow.f64 x 6) 125/13824) -1/8) (/.f64 1 (+.f64 (fma.f64 (pow.f64 x 4) 25/576 1/4) (.f64 (.f64 x x) 5/48))))
(/.f64 (fma.f64 (pow.f64 x 6) 125/13824 -1/8) (fma.f64 (pow.f64 x 4) 25/576 (fma.f64 x (*.f64 x 5/48) 1/4)))
(/.f64 (/.f64 (+.f64 -1/8 (.f64 (pow.f64 x 6) 125/13824)) (.f64 (cbrt.f64 (+.f64 (.f64 (pow.f64 x 4) 25/576) (+.f64 1/4 (.f64 (.f64 x x) 5/48)))) (cbrt.f64 (+.f64 (.f64 (pow.f64 x 4) 25/576) (+.f64 1/4 (.f64 (.f64 x x) 5/48)))))) (cbrt.f64 (+.f64 (.f64 (pow.f64 x 4) 25/576) (+.f64 1/4 (.f64 (*.f64 x x) 5/48)))))
(.f64 (+.f64 (.f64 (pow.f64 x 6) 125/13824) -1/8) (/.f64 1 (+.f64 (fma.f64 (pow.f64 x 4) 25/576 1/4) (.f64 (.f64 x x) 5/48))))
(/.f64 (fma.f64 (pow.f64 x 6) 125/13824 -1/8) (fma.f64 (pow.f64 x 4) 25/576 (fma.f64 x (*.f64 x 5/48) 1/4)))
(/.f64 (-.f64 (pow.f64 (fma.f64 5/24 (.f64 x x) 1/2) 2) 1) (+.f64 (fma.f64 5/24 (.f64 x x) 1/2) 1))
(/.f64 (+.f64 (pow.f64 (fma.f64 5/24 (.f64 x x) 1/2) 2) -1) (+.f64 1 (fma.f64 5/24 (.f64 x x) 1/2)))
(/.f64 (+.f64 -1 (pow.f64 (fma.f64 5/24 (.f64 x x) 1/2) 2)) (+.f64 (.f64 5/24 (*.f64 x x)) 3/2))
(/.f64 (-.f64 (.f64 (/.f64 (pow.f64 x 4) (/.f64 (fma.f64 5/24 (.f64 x x) 1/2) 25/576)) (/.f64 (pow.f64 x 4) (/.f64 (fma.f64 5/24 (.f64 x x) 1/2) 25/576))) (.f64 (/.f64 1/4 (fma.f64 5/24 (.f64 x x) 1/2)) (/.f64 1/4 (fma.f64 5/24 (.f64 x x) 1/2)))) (+.f64 (/.f64 (pow.f64 x 4) (/.f64 (fma.f64 5/24 (.f64 x x) 1/2) 25/576)) (/.f64 1/4 (fma.f64 5/24 (.f64 x x) 1/2))))
(/.f64 (-.f64 (.f64 (.f64 (/.f64 (pow.f64 x 4) (fma.f64 5/24 (.f64 x x) 1/2)) 25/576) (.f64 (/.f64 (pow.f64 x 4) (fma.f64 5/24 (.f64 x x) 1/2)) 25/576)) (.f64 (/.f64 1/4 (fma.f64 5/24 (.f64 x x) 1/2)) (/.f64 1/4 (fma.f64 5/24 (.f64 x x) 1/2)))) (+.f64 (.f64 (/.f64 (pow.f64 x 4) (fma.f64 5/24 (.f64 x x) 1/2)) 25/576) (/.f64 1/4 (fma.f64 5/24 (*.f64 x x) 1/2))))
(/.f64 (-.f64 (/.f64 (/.f64 (pow.f64 x 8) (/.f64 (fma.f64 5/24 (.f64 x x) 1/2) 25/576)) (/.f64 (fma.f64 5/24 (.f64 x x) 1/2) 25/576)) (/.f64 (/.f64 1/16 (fma.f64 5/24 (.f64 x x) 1/2)) (fma.f64 5/24 (.f64 x x) 1/2))) (fma.f64 (/.f64 (pow.f64 x 4) (fma.f64 5/24 (.f64 x x) 1/2)) 25/576 (/.f64 1/4 (fma.f64 5/24 (.f64 x x) 1/2))))
(/.f64 (+.f64 (.f64 (/.f64 (/.f64 (pow.f64 x 8) (fma.f64 5/24 (.f64 x x) 1/2)) (fma.f64 5/24 (.f64 x x) 1/2)) 625/331776) (/.f64 (/.f64 -1/16 (fma.f64 5/24 (.f64 x x) 1/2)) (fma.f64 5/24 (.f64 x x) 1/2))) (fma.f64 (/.f64 (pow.f64 x 4) (fma.f64 5/24 (.f64 x x) 1/2)) 25/576 (/.f64 1/4 (fma.f64 5/24 (*.f64 x x) 1/2))))
(pow.f64 (fma.f64 5/24 (*.f64 x x) -1/2) 1)
(fma.f64 5/24 (*.f64 x x) -1/2)
(pow.f64 (sqrt.f64 (fma.f64 5/24 (*.f64 x x) -1/2)) 2)
(fma.f64 5/24 (*.f64 x x) -1/2)
(pow.f64 (cbrt.f64 (fma.f64 5/24 (*.f64 x x) -1/2)) 3)
(fma.f64 5/24 (*.f64 x x) -1/2)
(pow.f64 (pow.f64 (fma.f64 5/24 (*.f64 x x) -1/2) 3) 1/3)
(fma.f64 5/24 (*.f64 x x) -1/2)
(neg.f64 (/.f64 (+.f64 (.f64 (pow.f64 x 4) 25/576) -1/4) (+.f64 (.f64 (*.f64 x x) -5/24) -1/2)))
(/.f64 (+.f64 1/4 (.f64 (pow.f64 x 4) -25/576)) (fma.f64 (.f64 x x) -5/24 -1/2))
(/.f64 (fma.f64 (pow.f64 x 4) -25/576 1/4) (fma.f64 x (*.f64 x -5/24) -1/2))
(neg.f64 (/.f64 (+.f64 -1/8 (.f64 (pow.f64 x 6) 125/13824)) (neg.f64 (+.f64 (.f64 (pow.f64 x 4) 25/576) (+.f64 1/4 (.f64 (.f64 x x) 5/48))))))
(/.f64 (+.f64 1/8 (.f64 (pow.f64 x 6) -125/13824)) (neg.f64 (+.f64 (fma.f64 (pow.f64 x 4) 25/576 1/4) (.f64 (*.f64 x x) 5/48))))
(/.f64 (fma.f64 (pow.f64 x 6) -125/13824 1/8) (-.f64 (.f64 (pow.f64 x 4) -25/576) (fma.f64 x (.f64 x 5/48) 1/4)))
(sqrt.f64 (pow.f64 (fma.f64 5/24 (*.f64 x x) -1/2) 2))
(fabs.f64 (fma.f64 5/24 (*.f64 x x) -1/2))
(log.f64 (exp.f64 (fma.f64 5/24 (*.f64 x x) -1/2)))
(fma.f64 5/24 (*.f64 x x) -1/2)
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 5/24 (*.f64 x x) -1/2))))
(fma.f64 5/24 (*.f64 x x) -1/2)
(cbrt.f64 (pow.f64 (fma.f64 5/24 (*.f64 x x) -1/2) 3))
(fma.f64 5/24 (*.f64 x x) -1/2)
(expm1.f64 (log.f64 (fma.f64 5/24 (*.f64 x x) 1/2)))
(exp.f64 (log.f64 (fma.f64 5/24 (*.f64 x x) -1/2)))
(fma.f64 5/24 (*.f64 x x) -1/2)
(log1p.f64 (expm1.f64 (fma.f64 5/24 (*.f64 x x) -1/2)))
(fma.f64 5/24 (*.f64 x x) -1/2)
(fma.f64 5/24 (*.f64 x x) -1/2)
(fma.f64 (*.f64 x x) 5/24 -1/2)
(fma.f64 5/24 (*.f64 x x) -1/2)
(fma.f64 1 (.f64 5/24 (.f64 x x)) -1/2)
(fma.f64 5/24 (*.f64 x x) -1/2)
(fma.f64 (.f64 x (sqrt.f64 5/24)) (.f64 x (sqrt.f64 5/24)) -1/2)
(+.f64 (pow.f64 (*.f64 x (sqrt.f64 5/24)) 2) -1/2)
(+.f64 -1/2 (pow.f64 (*.f64 x (sqrt.f64 5/24)) 2))
(fma.f64 (cbrt.f64 (.f64 (pow.f64 x 4) 25/576)) (cbrt.f64 (.f64 5/24 (*.f64 x x))) -1/2)
(fma.f64 (*.f64 5/24 x) x -1/2)
(fma.f64 5/24 (*.f64 x x) -1/2)

localize31.0ms (0.6%)

Local error

Found 3 expressions with local error:

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

Compiler

Compiled 16 to 10 computations (37.5% saved)

series5.0ms (0.1%)

Counts

2 → 24

Calls

6 calls:

Time	Variable		Point	Expression
2.0ms	x	@	-inf	(pow.f64 (pow.f64 (cosh.f64 x) -3) 1/3)
1.0ms	x	@	inf	(pow.f64 (pow.f64 (cosh.f64 x) -3) 1/3)
1.0ms	x	@	inf	(pow.f64 (cosh.f64 x) -3)
1.0ms	x	@	-inf	(pow.f64 (cosh.f64 x) -3)
0.0ms	x	@	0	(pow.f64 (cosh.f64 x) -3)

rewrite61.0ms (1.2%)

Algorithm

1×	batch-egg-rewrite

Rules

1688×	`add-sqr-sqrt`
1644×	`*-un-lft-identity`
1560×	`add-cube-cbrt`
1546×	`add-cbrt-cube`
180×	`add-exp-log`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	22
1	197	22
2	2186	22

Stop Event

1×	node limit

Counts

2 → 40

Calls

Call 1

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

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 (pow.f64 (cosh.f64 x) -3) 1)))) (#(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 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 (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))) (cbrt.f64 (/.f64 1 (cosh.f64 x))))))) (#(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 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 (*.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 (exp.f64 (log1p.f64 (/.f64 1 (cosh.f64 x)))) 1)))) (#(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 (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 (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) -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 (pow.f64 (cosh.f64 x) -2) 1/3) (cbrt.f64 (/.f64 1 (cosh.f64 x))))))) (#(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 (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))))))))

simplify56.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

1130×	`distribute-lft-in`
1116×	`distribute-rgt-in`
922×	`associate-*r/`
896×	`associate-/l*`
746×	`associate-*l/`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	129	1492
1	288	1176
2	730	1158
3	2603	1158

Stop Event

1×	node limit

Counts

64 → 77

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 (+.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 (exp.f64 (log1p.f64 (pow.f64 (cosh.f64 x) -3))) 1)
(*.f64 (pow.f64 (cosh.f64 x) -3) 1)
(*.f64 (/.f64 1 (cosh.f64 x)) (pow.f64 (cosh.f64 x) -2))
(*.f64 1 (pow.f64 (cosh.f64 x) -3))
(*.f64 (pow.f64 (cosh.f64 x) -3/2) (pow.f64 (cosh.f64 x) -3/2))
(*.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))) (cbrt.f64 (/.f64 1 (cosh.f64 x))))
(*.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)))
(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 (*.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 (exp.f64 (log1p.f64 (/.f64 1 (cosh.f64 x)))) 1)
(*.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 (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 (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) -3/2) 1/3) (pow.f64 (pow.f64 (cosh.f64 x) -3/2) 1/3))
(*.f64 (pow.f64 (pow.f64 (cosh.f64 x) -2) 1/3) (cbrt.f64 (/.f64 1 (cosh.f64 x))))
(/.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 (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))))

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

eval299.0ms (6%)

Compiler: Compiled 12091 to 8490 computations (29.8% saved)

prune108.0ms (2.2%)

Pruning

8 alts after pruning (3 fresh and 5 done)

	Pruned	Kept	Total
New	692	2	694
Fresh	0	1	1
Picked	1	0	1
Done	3	5	8
Total	696	8	704

Error

Counts

704 → 8

Alt Table

Click to see full alt table

Status	Error	Program
	0.0b	(pow.f64 (sqrt.f64 (cosh.f64 x)) -2)
✓	14.0b	(/.f64 2 (+.f64 2 (*.f64 x x)))
✓	47.7b	(/.f64 2 (*.f64 x x))
✓	0.0b	(/.f64 1 (cosh.f64 x))
	34.4b	(-.f64 1 1)
✓	29.0b	(+.f64 1 (.f64 (.f64 x x) (+.f64 (.f64 5/24 (.f64 x x)) -1/2)))
✓	29.0b	(+.f64 1 (.f64 -1/2 (.f64 x x)))
	28.6b	1

Compiler

Compiled 53 to 40 computations (24.5% saved)

regimes17.0ms (0.3%)

Counts

16 → 1

Calls

Call 1

Inputs
1
(-.f64 1 1)
(/.f64 2 (*.f64 x x))
(*.f64 (/.f64 2 x) (/.f64 1 x))
(+.f64 1 (.f64 -1/2 (.f64 x x)))
(/.f64 2 (+.f64 2 (*.f64 x x)))
(-.f64 (+.f64 1 (/.f64 2 (*.f64 x x))) 1)
(+.f64 1 (.f64 (.f64 x x) (+.f64 (.f64 5/24 (.f64 x x)) -1/2)))
(/.f64 1 (cosh.f64 x))
(+.f64 1 (+.f64 (.f64 (.f64 -1/2 x) x) (*.f64 5/24 (pow.f64 x 4))))
(/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(+.f64 1 (fma.f64 -1/2 (.f64 x x) (.f64 5/24 (pow.f64 x 4))))
(pow.f64 (sqrt.f64 (cosh.f64 x)) -2)
(pow.f64 (pow.f64 (cosh.f64 x) -3) 1/3)
(/.f64 (pow.f64 (cosh.f64 x) -1/2) (sqrt.f64 (cosh.f64 x)))
(*.f64 (cbrt.f64 (pow.f64 (cosh.f64 x) -2)) (cbrt.f64 (/.f64 1 (cosh.f64 x))))

Outputs
(pow.f64 (sqrt.f64 (cosh.f64 x)) -2)

Calls

3 calls:

8.0ms	x
3.0ms	(/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
2.0ms	(+.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 138 to 91 computations (34.1% saved)

regimes15.0ms (0.3%)

Counts

12 → 1

Calls

Call 1

Inputs
1
(-.f64 1 1)
(/.f64 2 (*.f64 x x))
(*.f64 (/.f64 2 x) (/.f64 1 x))
(+.f64 1 (.f64 -1/2 (.f64 x x)))
(/.f64 2 (+.f64 2 (*.f64 x x)))
(-.f64 (+.f64 1 (/.f64 2 (*.f64 x x))) 1)
(+.f64 1 (.f64 (.f64 x x) (+.f64 (.f64 5/24 (.f64 x x)) -1/2)))
(/.f64 1 (cosh.f64 x))
(+.f64 1 (+.f64 (.f64 (.f64 -1/2 x) x) (*.f64 5/24 (pow.f64 x 4))))
(/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(+.f64 1 (fma.f64 -1/2 (.f64 x x) (.f64 5/24 (pow.f64 x 4))))

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

Calls

3 calls:

7.0ms	x
3.0ms	(+.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 108 to 74 computations (31.5% saved)

regimes17.0ms (0.3%)

Counts

8 → 3

Calls

Call 1

Inputs
1
(-.f64 1 1)
(/.f64 2 (*.f64 x x))
(*.f64 (/.f64 2 x) (/.f64 1 x))
(+.f64 1 (.f64 -1/2 (.f64 x x)))
(/.f64 2 (+.f64 2 (*.f64 x x)))
(-.f64 (+.f64 1 (/.f64 2 (*.f64 x x))) 1)
(+.f64 1 (.f64 (.f64 x x) (+.f64 (.f64 5/24 (.f64 x x)) -1/2)))

Outputs
(-.f64 (+.f64 1 (/.f64 2 (*.f64 x x))) 1)
(+.f64 1 (.f64 (.f64 x x) (+.f64 (.f64 5/24 (.f64 x x)) -1/2)))
(-.f64 (+.f64 1 (/.f64 2 (*.f64 x x))) 1)

Calls

1 calls:

15.0ms

Results

Error	Segments	Branch
0.7b	3	`x`

Compiler

Compiled 55 to 35 computations (36.4% saved)

bsearch31.0ms (0.6%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
14.0ms	1.4188572950394818	7.9942752853283405
17.0ms	-23.80749510783094	-0.006535293537009971

Results

28.0ms

224×

body

256

valid

Compiler

Compiled 377 to 276 computations (26.8% saved)

regimes17.0ms (0.3%)

Counts

7 → 3

Calls

Call 1

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

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

Calls

1 calls:

15.0ms

Results

Error	Segments	Branch
0.7b	3	`x`

Compiler

Compiled 42 to 28 computations (33.3% saved)

bsearch35.0ms (0.7%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
16.0ms	7.9942752853283405	246477288.93974733
19.0ms	-31735360545.971626	-23.80749510783094

Results

32.0ms

288×

body

256

valid

Compiler

Compiled 265 to 226 computations (14.7% saved)

regimes15.0ms (0.3%)

Counts

5 → 3

Calls

Call 1

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

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

Calls

1 calls:

12.0ms

Results

Error	Segments	Branch
0.8b	3	`x`

Compiler

Compiled 26 to 18 computations (30.8% saved)

bsearch32.0ms (0.7%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
17.0ms	6.500537823930929e-6	1.4188572950394818
15.0ms	-23.80749510783094	-0.006535293537009971

Results

29.0ms

272×

body

256

valid

Compiler

Compiled 251 to 214 computations (14.7% saved)

regimes12.0ms (0.2%)

Accuracy

Total -61.6b remaining (-6390.8%)

Threshold costs -61.6b (-6390.8%)

Counts

4 → 3

Calls

Call 1

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

Outputs
(-.f64 1 1)
1
(-.f64 1 1)

Calls

1 calls:

11.0ms

Results

Error	Segments	Branch
1.0b	3	`x`

Compiler

Compiled 19 to 14 computations (26.3% saved)

bsearch34.0ms (0.7%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
17.0ms	7.9942752853283405	246477288.93974733
17.0ms	-31735360545.971626	-23.80749510783094

Results

30.0ms

288×

body

256

valid

Compiler

Compiled 157 to 154 computations (1.9% saved)

simplify8.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	52	213
1	77	213
2	78	213

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(pow.f64 (sqrt.f64 (cosh.f64 x)) -2)
(/.f64 1 (cosh.f64 x))
(if (<=.f64 x -3/2) (-.f64 (+.f64 1 (/.f64 2 (.f64 x x))) 1) (if (<=.f64 x 1643813863990231/1125899906842624) (+.f64 1 (.f64 (.f64 x x) (+.f64 (.f64 5/24 (.f64 x x)) -1/2))) (-.f64 (+.f64 1 (/.f64 2 (.f64 x x))) 1)))
(if (<=.f64 x -360) (-.f64 1 1) (if (<=.f64 x 360) (/.f64 2 (+.f64 2 (*.f64 x x))) (-.f64 1 1)))
(if (<=.f64 x -3152519739159347/2251799813685248) (-.f64 1 1) (if (<=.f64 x 3152519739159347/2251799813685248) (+.f64 1 (.f64 -1/2 (.f64 x x))) (-.f64 1 1)))
(if (<=.f64 x -350) (-.f64 1 1) (if (<=.f64 x 360) 1 (-.f64 1 1)))
1

Outputs
(pow.f64 (sqrt.f64 (cosh.f64 x)) -2)
(/.f64 1 (cosh.f64 x))
(if (<=.f64 x -3/2) (-.f64 (+.f64 1 (/.f64 2 (.f64 x x))) 1) (if (<=.f64 x 1643813863990231/1125899906842624) (+.f64 1 (.f64 (.f64 x x) (+.f64 (.f64 5/24 (.f64 x x)) -1/2))) (-.f64 (+.f64 1 (/.f64 2 (.f64 x x))) 1)))
(if (or (<=.f64 x -3/2) (not (<=.f64 x 1643813863990231/1125899906842624))) (+.f64 (+.f64 1 (/.f64 2 (.f64 x x))) -1) (+.f64 1 (.f64 (.f64 x x) (+.f64 (.f64 (*.f64 x x) 5/24) -1/2))))
(if (<=.f64 x -360) (-.f64 1 1) (if (<=.f64 x 360) (/.f64 2 (+.f64 2 (*.f64 x x))) (-.f64 1 1)))
(if (<=.f64 x -360) 0 (if (<=.f64 x 360) (/.f64 2 (+.f64 2 (*.f64 x x))) 0))
(if (<=.f64 x -3152519739159347/2251799813685248) (-.f64 1 1) (if (<=.f64 x 3152519739159347/2251799813685248) (+.f64 1 (.f64 -1/2 (.f64 x x))) (-.f64 1 1)))
(if (<=.f64 x -3152519739159347/2251799813685248) 0 (if (<=.f64 x 3152519739159347/2251799813685248) (+.f64 1 (.f64 (.f64 x x) -1/2)) 0))
(if (<=.f64 x -350) (-.f64 1 1) (if (<=.f64 x 360) 1 (-.f64 1 1)))
(if (<=.f64 x -350) 0 (if (<=.f64 x 360) 1 0))
1

Compiler

Compiled 93 to 71 computations (23.7% saved)

soundness135.0ms (2.7%)

Algorithm

2×	egg-herbie

Rules

1420×	`associate-r`
1162×	`associate-+r+`
1130×	`distribute-lft-in`
1116×	`distribute-rgt-in`
996×	`associate-l`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	96	998
1	227	966
2	902	692
3	5000	692
0	129	1492
1	288	1176
2	730	1158
3	2603	1158

Stop Event

1×	node limit
1×	node limit

Compiler

Compiled 77 to 41 computations (46.8% saved)

end51.0ms (1%)

Compiler: Compiled 87 to 62 computations (28.7% saved)