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)

sample768.0ms (14.6%)

Results

755.0ms

8256×

body

256

valid

Bogosity

preprocess96.0ms (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)

simplify93.0ms (1.8%)

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)))

rewrite75.0ms (1.4%)

Algorithm

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

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	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))))))))

simplify55.0ms (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

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	47	6	53
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	48	6	54

Error

Counts

54 → 6

Alt Table

Click to see full alt table

Status	Error	Program
▶	15.8b	(/.f64 2 (+.f64 2 (*.f64 x x)))
▶	0.6b	(/.f64 2 (expm1.f64 (log1p.f64 (*.f64 2 (cosh.f64 x)))))
▶	0.0b	(/.f64 1 (cosh.f64 x))
▶	28.3b	(+.f64 1 (fma.f64 -1/2 (.f64 x x) (.f64 5/24 (pow.f64 x 4))))
▶	28.1b	(+.f64 1 (.f64 -1/2 (.f64 x x)))
	27.7b	1

Compiler

Compiled 88 to 70 computations (20.5% saved)

localize4.0ms (0.1%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 9 to 5 computations (44.4% saved)

series3.0ms (0.1%)

Counts

2 → 24

Calls

6 calls:

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

rewrite63.0ms (1.2%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

2 → 46

Calls

Call 1

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

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

Outputs

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

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

simplify65.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 2 (0.0ms)

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

Stop Event

1×	node limit

Counts

70 → 79

Calls

Call 1

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

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

localize6.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.2b	(.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	@	0	(.f64 -1/2 (.f64 x x))
0.0ms	x	@	inf	(.f64 -1/2 (.f64 x x))
0.0ms	x	@	-inf	(.f64 -1/2 (.f64 x x))

rewrite46.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

1 → 11

Calls

Call 1

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

Outputs

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

simplify38.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

23 → 14

Calls

Call 1

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

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

localize6.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 2 (*.f64 x x))
✓	0.6b	(/.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	@	inf	(/.f64 2 (+.f64 2 (*.f64 x x)))
0.0ms	x	@	0	(/.f64 2 (+.f64 2 (*.f64 x x)))
0.0ms	x	@	inf	(+.f64 2 (*.f64 x x))
0.0ms	x	@	-inf	(/.f64 2 (+.f64 2 (*.f64 x x)))
0.0ms	x	@	-inf	(+.f64 2 (*.f64 x x))

rewrite55.0ms (1.1%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	7	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 (+.f64 2 (*.f64 x x))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (/.f64 1 (+.f64 2 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 2 (+.f64 2 (*.f64 x x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 2 (+.f64 2 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 2 (+.f64 2 (*.f64 x x)))) (sqrt.f64 (/.f64 2 (+.f64 2 (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 2 (+.f64 2 (*.f64 x x)))) (pow.f64 (cbrt.f64 (/.f64 2 (+.f64 2 (*.f64 x x)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 2 (+.f64 2 (*.f64 x x)))) 2) (cbrt.f64 (/.f64 2 (+.f64 2 (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 2 (*.f64 x x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -2 (/.f64 1 (neg.f64 (+.f64 2 (*.f64 x x)))))))) (#(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 (+.f64 2 (*.f64 x x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 2 (+.f64 2 (*.f64 x x)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 2 (+.f64 2 (*.f64 x x)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 2 (+.f64 2 (*.f64 x x))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (+.f64 2 (*.f64 x x)) 1/2) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (/.f64 4 (pow.f64 (+.f64 2 (*.f64 x x)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 2 (+.f64 2 (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 2 (+.f64 2 (*.f64 x x))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 2 (+.f64 2 (*.f64 x x))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 2 (+.f64 2 (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 2 (+.f64 2 (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 2 (+.f64 2 (*.f64 x x)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 2 (+.f64 2 (*.f64 x x)))))))))

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

simplify62.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

806×	`associate-/r*`
672×	`unswap-sqr`
632×	`associate-+l-`
616×	`associate-+r-`
542×	`+-commutative`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	159	1594
1	372	1536
2	1585	1504
3	6394	1504

Stop Event

1×	node limit

Counts

80 → 95

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

localize15.0ms (0.3%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 1 (fma.f64 -1/2 (.f64 x x) (.f64 5/24 (pow.f64 x 4))))
✓	0.1b	(*.f64 5/24 (pow.f64 x 4))
✓	9.4b	(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

3 → 24

Calls

9 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	(+.f64 1 (fma.f64 -1/2 (.f64 x x) (.f64 5/24 (pow.f64 x 4))))

rewrite88.0ms (1.7%)

Algorithm

1×	batch-egg-rewrite

Rules

918×	`*-commutative`
680×	`unswap-sqr`
552×	`swap-sqr`
434×	`distribute-lft-in`
426×	`distribute-rgt-in`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	73
1	269	73
2	3020	73

Stop Event

1×	node limit

Counts

3 → 133

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 5/24 (pow.f64 x 4)) (*.f64 x (*.f64 -1/2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 -1/2 (*.f64 x x) (*.f64 5/24 (pow.f64 x 4))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (-.f64 (fma.f64 -1/2 (*.f64 x x) (*.f64 5/24 (pow.f64 x 4))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x (*.f64 -1/2 x)) (*.f64 5/24 (pow.f64 x 4)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x (*.f64 -1/2 x)) (-.f64 (+.f64 (*.f64 5/24 (pow.f64 x 4)) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 1 (*.f64 x (*.f64 -1/2 x))) (-.f64 (*.f64 5/24 (pow.f64 x 4)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (fma.f64 -1/2 (*.f64 x x) (*.f64 5/24 (pow.f64 x 4))) 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log.f64 (+.f64 2 (fma.f64 -1/2 (*.f64 x x) (*.f64 5/24 (pow.f64 x 4)))))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 5/24 (pow.f64 x 4)))) (-.f64 1 (*.f64 x (*.f64 -1/2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 1 (-.f64 1 (fma.f64 -1/2 (*.f64 x x) (*.f64 5/24 (pow.f64 x 4))))) (+.f64 (/.f64 (pow.f64 (fma.f64 -1/2 (*.f64 x x) (*.f64 5/24 (pow.f64 x 4))) 2) (-.f64 1 (fma.f64 -1/2 (*.f64 x x) (*.f64 5/24 (pow.f64 x 4))))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (*.f64 x (*.f64 -1/2 x)) (exp.f64 (log1p.f64 (*.f64 5/24 (pow.f64 x 4))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x x) (+.f64 (*.f64 (*.f64 x x) 5/24) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x x) (+.f64 -1/2 (*.f64 (*.f64 x x) 5/24)))))) (#(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 (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 (+.f64 (sqrt.f64 (+.f64 (fma.f64 -1/2 (*.f64 x x) (*.f64 5/24 (pow.f64 x 4))) 1)) 1) (-.f64 (sqrt.f64 (+.f64 (fma.f64 -1/2 (*.f64 x x) (*.f64 5/24 (pow.f64 x 4))) 1)) 1))))) (#(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 (+.f64 (*.f64 (pow.f64 x 4) 1/4) (*.f64 -25/576 (pow.f64 x 8))) (+.f64 (*.f64 x (*.f64 -1/2 x)) (*.f64 -5/24 (pow.f64 x 4))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 5/24 (pow.f64 x 4)) 3) (pow.f64 (*.f64 x (*.f64 -1/2 x)) 3)) (+.f64 (*.f64 (pow.f64 x 4) 1/4) (-.f64 (*.f64 (pow.f64 x 8) 25/576) (*.f64 (*.f64 5/24 (pow.f64 x 4)) (*.f64 x (*.f64 -1/2 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 1 (+.f64 (*.f64 (pow.f64 x 4) 1/4) (*.f64 -25/576 (pow.f64 x 8)))) (+.f64 (*.f64 x (*.f64 -1/2 x)) (*.f64 -5/24 (pow.f64 x 4))))))) (#(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 -1/2 x)) 3))) (+.f64 (*.f64 (pow.f64 x 4) 1/4) (-.f64 (*.f64 (pow.f64 x 8) 25/576) (*.f64 (*.f64 5/24 (pow.f64 x 4)) (*.f64 x (*.f64 -1/2 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (*.f64 (pow.f64 x 4) 1/4) (*.f64 -25/576 (pow.f64 x 8))) 1) (+.f64 (*.f64 x (*.f64 -1/2 x)) (*.f64 -5/24 (pow.f64 x 4))))))) (#(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 -1/2 x)) 3)) 1) (+.f64 (*.f64 (pow.f64 x 4) 1/4) (-.f64 (*.f64 (pow.f64 x 8) 25/576) (*.f64 (*.f64 5/24 (pow.f64 x 4)) (*.f64 x (*.f64 -1/2 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (pow.f64 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(#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 1 (fma.f64 -1/2 (*.f64 x x) (*.f64 5/24 (pow.f64 x 4))))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (fma.f64 -1/2 (*.f64 x x) (*.f64 5/24 (pow.f64 x 4))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.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)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.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)))) 1)))))

simplify117.0ms (2.2%)

Algorithm

1×	egg-herbie

Rules

1444×	`associate--l+`
994×	`associate--r+`
712×	`+-commutative`
684×	`associate-+l-`
656×	`associate-*r/`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	344	10079
1	958	9443
2	4176	9375

Stop Event

1×	node limit

Counts

157 → 210

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)))
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 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 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 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 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 5/24 (pow.f64 x 4))))
(+.f64 (.f64 5/24 (pow.f64 x 4)) (.f64 x (*.f64 -1/2 x)))
(+.f64 (fma.f64 -1/2 (.f64 x x) (.f64 5/24 (pow.f64 x 4))) 0)
(+.f64 1 (-.f64 (fma.f64 -1/2 (.f64 x x) (.f64 5/24 (pow.f64 x 4))) 1))
(+.f64 (.f64 x (.f64 -1/2 x)) (*.f64 5/24 (pow.f64 x 4)))
(+.f64 (.f64 x (.f64 -1/2 x)) (-.f64 (+.f64 (*.f64 5/24 (pow.f64 x 4)) 1) 1))
(+.f64 (+.f64 1 (.f64 x (.f64 -1/2 x))) (-.f64 (*.f64 5/24 (pow.f64 x 4)) 1))
(-.f64 (+.f64 (fma.f64 -1/2 (.f64 x x) (.f64 5/24 (pow.f64 x 4))) 1) 1)
(-.f64 (exp.f64 (log.f64 (+.f64 2 (fma.f64 -1/2 (.f64 x x) (.f64 5/24 (pow.f64 x 4)))))) 2)
(-.f64 (exp.f64 (log1p.f64 (.f64 5/24 (pow.f64 x 4)))) (-.f64 1 (.f64 x (*.f64 -1/2 x))))
(-.f64 (/.f64 1 (-.f64 1 (fma.f64 -1/2 (.f64 x x) (.f64 5/24 (pow.f64 x 4))))) (+.f64 (/.f64 (pow.f64 (fma.f64 -1/2 (.f64 x x) (.f64 5/24 (pow.f64 x 4))) 2) (-.f64 1 (fma.f64 -1/2 (.f64 x x) (.f64 5/24 (pow.f64 x 4))))) 1))
(-.f64 (+.f64 (.f64 x (.f64 -1/2 x)) (exp.f64 (log1p.f64 (*.f64 5/24 (pow.f64 x 4))))) 1)
(.f64 (.f64 x x) (+.f64 (.f64 (.f64 x x) 5/24) -1/2))
(.f64 (.f64 x x) (+.f64 -1/2 (.f64 (.f64 x x) 5/24)))
(.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)))))
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(/.f64 (.f64 (pow.f64 (cbrt.f64 (+.f64 1 (fma.f64 -1/2 (.f64 x x) (.f64 5/24 (pow.f64 x 4))))) 2) (cbrt.f64 (+.f64 1 (pow.f64 (fma.f64 -1/2 (.f64 x x) (.f64 5/24 (pow.f64 x 4))) 3)))) (cbrt.f64 (-.f64 (pow.f64 (fma.f64 -1/2 (.f64 x x) (.f64 5/24 (pow.f64 x 4))) 2) (-.f64 (fma.f64 -1/2 (.f64 x x) (*.f64 5/24 (pow.f64 x 4))) 1))))
(/.f64 (.f64 (-.f64 (pow.f64 (fma.f64 -1/2 (.f64 x x) (.f64 5/24 (pow.f64 x 4))) 2) 1) 1) (-.f64 (fma.f64 -1/2 (.f64 x x) (*.f64 5/24 (pow.f64 x 4))) 1))
(/.f64 (.f64 (neg.f64 (-.f64 1 (pow.f64 (fma.f64 -1/2 (.f64 x x) (.f64 5/24 (pow.f64 x 4))) 2))) 1) (neg.f64 (-.f64 1 (fma.f64 -1/2 (.f64 x x) (*.f64 5/24 (pow.f64 x 4))))))
(/.f64 (.f64 (+.f64 -1 (neg.f64 (pow.f64 (fma.f64 -1/2 (.f64 x x) (.f64 5/24 (pow.f64 x 4))) 3))) 1) (neg.f64 (-.f64 (pow.f64 (fma.f64 -1/2 (.f64 x x) (.f64 5/24 (pow.f64 x 4))) 2) (-.f64 (fma.f64 -1/2 (.f64 x x) (*.f64 5/24 (pow.f64 x 4))) 1))))
(/.f64 (.f64 (sqrt.f64 (-.f64 1 (pow.f64 (fma.f64 -1/2 (.f64 x x) (.f64 5/24 (pow.f64 x 4))) 2))) (sqrt.f64 (+.f64 1 (fma.f64 -1/2 (.f64 x x) (.f64 5/24 (pow.f64 x 4)))))) (sqrt.f64 (-.f64 1 (fma.f64 -1/2 (.f64 x x) (*.f64 5/24 (pow.f64 x 4))))))
(/.f64 (.f64 (sqrt.f64 (+.f64 1 (pow.f64 (fma.f64 -1/2 (.f64 x x) (.f64 5/24 (pow.f64 x 4))) 3))) (sqrt.f64 (+.f64 1 (fma.f64 -1/2 (.f64 x x) (.f64 5/24 (pow.f64 x 4)))))) (sqrt.f64 (-.f64 (pow.f64 (fma.f64 -1/2 (.f64 x x) (.f64 5/24 (pow.f64 x 4))) 2) (-.f64 (fma.f64 -1/2 (.f64 x x) (*.f64 5/24 (pow.f64 x 4))) 1))))
(/.f64 (.f64 (cbrt.f64 (-.f64 1 (pow.f64 (fma.f64 -1/2 (.f64 x x) (.f64 5/24 (pow.f64 x 4))) 2))) (pow.f64 (cbrt.f64 (+.f64 1 (fma.f64 -1/2 (.f64 x x) (.f64 5/24 (pow.f64 x 4))))) 2)) (cbrt.f64 (-.f64 1 (fma.f64 -1/2 (.f64 x x) (*.f64 5/24 (pow.f64 x 4))))))
(/.f64 (.f64 (cbrt.f64 (+.f64 1 (pow.f64 (fma.f64 -1/2 (.f64 x x) (.f64 5/24 (pow.f64 x 4))) 3))) (pow.f64 (cbrt.f64 (+.f64 1 (fma.f64 -1/2 (.f64 x x) (.f64 5/24 (pow.f64 x 4))))) 2)) (cbrt.f64 (-.f64 (pow.f64 (fma.f64 -1/2 (.f64 x x) (.f64 5/24 (pow.f64 x 4))) 2) (-.f64 (fma.f64 -1/2 (.f64 x x) (*.f64 5/24 (pow.f64 x 4))) 1))))
(/.f64 (.f64 (-.f64 1 (pow.f64 (fma.f64 -1/2 (.f64 x x) (.f64 5/24 (pow.f64 x 4))) 4)) (/.f64 1 (-.f64 1 (fma.f64 -1/2 (.f64 x x) (.f64 5/24 (pow.f64 x 4)))))) (+.f64 1 (pow.f64 (fma.f64 -1/2 (.f64 x x) (*.f64 5/24 (pow.f64 x 4))) 2)))
(/.f64 (.f64 (-.f64 1 (pow.f64 (pow.f64 (fma.f64 -1/2 (.f64 x x) (.f64 5/24 (pow.f64 x 4))) 2) 3)) (/.f64 1 (-.f64 1 (fma.f64 -1/2 (.f64 x x) (.f64 5/24 (pow.f64 x 4)))))) (+.f64 1 (+.f64 (pow.f64 (fma.f64 -1/2 (.f64 x x) (.f64 5/24 (pow.f64 x 4))) 2) (pow.f64 (fma.f64 -1/2 (.f64 x x) (*.f64 5/24 (pow.f64 x 4))) 4))))
(/.f64 (.f64 (-.f64 1 (pow.f64 (fma.f64 -1/2 (.f64 x x) (.f64 5/24 (pow.f64 x 4))) 6)) (/.f64 1 (-.f64 (pow.f64 (fma.f64 -1/2 (.f64 x x) (.f64 5/24 (pow.f64 x 4))) 2) (-.f64 (fma.f64 -1/2 (.f64 x x) (.f64 5/24 (pow.f64 x 4))) 1)))) (-.f64 1 (pow.f64 (fma.f64 -1/2 (.f64 x x) (*.f64 5/24 (pow.f64 x 4))) 3)))
(/.f64 (.f64 (+.f64 1 (pow.f64 (pow.f64 (fma.f64 -1/2 (.f64 x x) (.f64 5/24 (pow.f64 x 4))) 3) 3)) (/.f64 1 (-.f64 (pow.f64 (fma.f64 -1/2 (.f64 x x) (.f64 5/24 (pow.f64 x 4))) 2) (-.f64 (fma.f64 -1/2 (.f64 x x) (.f64 5/24 (pow.f64 x 4))) 1)))) (+.f64 1 (-.f64 (pow.f64 (fma.f64 -1/2 (.f64 x x) (.f64 5/24 (pow.f64 x 4))) 6) (pow.f64 (fma.f64 -1/2 (.f64 x x) (*.f64 5/24 (pow.f64 x 4))) 3))))
(/.f64 (/.f64 (-.f64 1 (pow.f64 (fma.f64 -1/2 (.f64 x x) (.f64 5/24 (pow.f64 x 4))) 2)) 1) (-.f64 1 (fma.f64 -1/2 (.f64 x x) (.f64 5/24 (pow.f64 x 4)))))
(/.f64 (/.f64 (-.f64 1 (pow.f64 (fma.f64 -1/2 (.f64 x x) (.f64 5/24 (pow.f64 x 4))) 2)) (sqrt.f64 (-.f64 1 (fma.f64 -1/2 (.f64 x x) (.f64 5/24 (pow.f64 x 4)))))) (sqrt.f64 (-.f64 1 (fma.f64 -1/2 (.f64 x x) (.f64 5/24 (pow.f64 x 4))))))
(/.f64 (/.f64 (-.f64 1 (pow.f64 (fma.f64 -1/2 (.f64 x x) (.f64 5/24 (pow.f64 x 4))) 2)) (.f64 (cbrt.f64 (-.f64 1 (fma.f64 -1/2 (.f64 x x) (.f64 5/24 (pow.f64 x 4))))) (cbrt.f64 (-.f64 1 (fma.f64 -1/2 (.f64 x x) (.f64 5/24 (pow.f64 x 4))))))) (cbrt.f64 (-.f64 1 (fma.f64 -1/2 (.f64 x x) (*.f64 5/24 (pow.f64 x 4))))))
(/.f64 (/.f64 (+.f64 1 (pow.f64 (fma.f64 -1/2 (.f64 x x) (.f64 5/24 (pow.f64 x 4))) 3)) 1) (-.f64 (pow.f64 (fma.f64 -1/2 (.f64 x x) (.f64 5/24 (pow.f64 x 4))) 2) (-.f64 (fma.f64 -1/2 (.f64 x x) (.f64 5/24 (pow.f64 x 4))) 1)))
(/.f64 (/.f64 (+.f64 1 (pow.f64 (fma.f64 -1/2 (.f64 x x) (.f64 5/24 (pow.f64 x 4))) 3)) (sqrt.f64 (-.f64 (pow.f64 (fma.f64 -1/2 (.f64 x x) (.f64 5/24 (pow.f64 x 4))) 2) (-.f64 (fma.f64 -1/2 (.f64 x x) (.f64 5/24 (pow.f64 x 4))) 1)))) (sqrt.f64 (-.f64 (pow.f64 (fma.f64 -1/2 (.f64 x x) (.f64 5/24 (pow.f64 x 4))) 2) (-.f64 (fma.f64 -1/2 (.f64 x x) (.f64 5/24 (pow.f64 x 4))) 1))))
(/.f64 (/.f64 (+.f64 1 (pow.f64 (fma.f64 -1/2 (.f64 x x) (.f64 5/24 (pow.f64 x 4))) 3)) (.f64 (cbrt.f64 (-.f64 (pow.f64 (fma.f64 -1/2 (.f64 x x) (.f64 5/24 (pow.f64 x 4))) 2) (-.f64 (fma.f64 -1/2 (.f64 x x) (.f64 5/24 (pow.f64 x 4))) 1))) (cbrt.f64 (-.f64 (pow.f64 (fma.f64 -1/2 (.f64 x x) (.f64 5/24 (pow.f64 x 4))) 2) (-.f64 (fma.f64 -1/2 (.f64 x x) (.f64 5/24 (pow.f64 x 4))) 1))))) (cbrt.f64 (-.f64 (pow.f64 (fma.f64 -1/2 (.f64 x x) (.f64 5/24 (pow.f64 x 4))) 2) (-.f64 (fma.f64 -1/2 (.f64 x x) (*.f64 5/24 (pow.f64 x 4))) 1))))
(/.f64 (-.f64 (.f64 (pow.f64 x 4) 1/4) (.f64 (+.f64 (.f64 5/24 (pow.f64 x 4)) 1) (+.f64 (.f64 5/24 (pow.f64 x 4)) 1))) (-.f64 (.f64 x (.f64 -1/2 x)) (+.f64 (*.f64 5/24 (pow.f64 x 4)) 1)))
(/.f64 (-.f64 (.f64 (+.f64 1 (.f64 x (.f64 -1/2 x))) (+.f64 1 (.f64 x (.f64 -1/2 x)))) (.f64 (pow.f64 x 8) 25/576)) (-.f64 (+.f64 1 (.f64 x (.f64 -1/2 x))) (*.f64 5/24 (pow.f64 x 4))))
(pow.f64 (+.f64 1 (fma.f64 -1/2 (.f64 x x) (.f64 5/24 (pow.f64 x 4)))) 1)
(pow.f64 (sqrt.f64 (+.f64 1 (fma.f64 -1/2 (.f64 x x) (.f64 5/24 (pow.f64 x 4))))) 2)
(pow.f64 (cbrt.f64 (+.f64 1 (fma.f64 -1/2 (.f64 x x) (.f64 5/24 (pow.f64 x 4))))) 3)
(pow.f64 (pow.f64 (+.f64 1 (fma.f64 -1/2 (.f64 x x) (.f64 5/24 (pow.f64 x 4)))) 3) 1/3)
(neg.f64 (/.f64 (-.f64 1 (pow.f64 (fma.f64 -1/2 (.f64 x x) (.f64 5/24 (pow.f64 x 4))) 2)) (neg.f64 (-.f64 1 (fma.f64 -1/2 (.f64 x x) (.f64 5/24 (pow.f64 x 4)))))))
(neg.f64 (/.f64 (+.f64 1 (pow.f64 (fma.f64 -1/2 (.f64 x x) (.f64 5/24 (pow.f64 x 4))) 3)) (neg.f64 (-.f64 (pow.f64 (fma.f64 -1/2 (.f64 x x) (.f64 5/24 (pow.f64 x 4))) 2) (-.f64 (fma.f64 -1/2 (.f64 x x) (.f64 5/24 (pow.f64 x 4))) 1)))))
(sqrt.f64 (pow.f64 (+.f64 1 (fma.f64 -1/2 (.f64 x x) (.f64 5/24 (pow.f64 x 4)))) 2))
(log.f64 (exp.f64 (+.f64 1 (fma.f64 -1/2 (.f64 x x) (.f64 5/24 (pow.f64 x 4))))))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 1 (fma.f64 -1/2 (.f64 x x) (.f64 5/24 (pow.f64 x 4)))))))
(cbrt.f64 (pow.f64 (+.f64 1 (fma.f64 -1/2 (.f64 x x) (.f64 5/24 (pow.f64 x 4)))) 3))
(expm1.f64 (log.f64 (+.f64 2 (fma.f64 -1/2 (.f64 x x) (.f64 5/24 (pow.f64 x 4))))))
(exp.f64 (log1p.f64 (fma.f64 -1/2 (.f64 x x) (.f64 5/24 (pow.f64 x 4)))))
(log1p.f64 (expm1.f64 (+.f64 1 (fma.f64 -1/2 (.f64 x x) (.f64 5/24 (pow.f64 x 4))))))
(fma.f64 1 (fma.f64 -1/2 (.f64 x x) (.f64 5/24 (pow.f64 x 4))) 1)
(fma.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)))) 1)
(fma.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)))) 1)

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 x (.f64 x (fma.f64 x (*.f64 x 5/24) -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 x (.f64 x (fma.f64 x (*.f64 x 5/24) -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 x (.f64 x (fma.f64 x (*.f64 x 5/24) -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 x (.f64 x (fma.f64 x (*.f64 x 5/24) -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 x (.f64 x (fma.f64 x (*.f64 x 5/24) -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 x (.f64 x (fma.f64 x (*.f64 x 5/24) -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 x (.f64 x (fma.f64 x (*.f64 x 5/24) -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 x (.f64 x (fma.f64 x (*.f64 x 5/24) -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 x (.f64 x (fma.f64 x (*.f64 x 5/24) -1/2)))
1
(+.f64 1 (*.f64 -1/2 (pow.f64 x 2)))
(+.f64 (.f64 -1/2 (.f64 x x)) 1)
(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 x (*.f64 -1/2 x) (fma.f64 5/24 (pow.f64 x 4) 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 x (*.f64 -1/2 x) (fma.f64 5/24 (pow.f64 x 4) 1))
(*.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 x (.f64 x (fma.f64 x (*.f64 x 5/24) -1/2)))
(+.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 x (*.f64 -1/2 x) (fma.f64 5/24 (pow.f64 x 4) 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 x (*.f64 -1/2 x) (fma.f64 5/24 (pow.f64 x 4) 1))
(*.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 x (.f64 x (fma.f64 x (*.f64 x 5/24) -1/2)))
(+.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 x (*.f64 -1/2 x) (fma.f64 5/24 (pow.f64 x 4) 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 x (*.f64 -1/2 x) (fma.f64 5/24 (pow.f64 x 4) 1))
(+.f64 (.f64 5/24 (pow.f64 x 4)) (.f64 x (*.f64 -1/2 x)))
(fma.f64 -1/2 (.f64 x x) (.f64 5/24 (pow.f64 x 4)))
(.f64 x (.f64 x (fma.f64 x (*.f64 x 5/24) -1/2)))
(+.f64 (fma.f64 -1/2 (.f64 x x) (.f64 5/24 (pow.f64 x 4))) 0)
(fma.f64 -1/2 (.f64 x x) (.f64 5/24 (pow.f64 x 4)))
(.f64 x (.f64 x (fma.f64 x (*.f64 x 5/24) -1/2)))
(+.f64 1 (-.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 x (.f64 x (fma.f64 x (*.f64 x 5/24) -1/2)))
(+.f64 (.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 x (.f64 x (fma.f64 x (*.f64 x 5/24) -1/2)))
(+.f64 (.f64 x (.f64 -1/2 x)) (-.f64 (+.f64 (*.f64 5/24 (pow.f64 x 4)) 1) 1))
(fma.f64 -1/2 (.f64 x x) (.f64 5/24 (pow.f64 x 4)))
(.f64 x (.f64 x (fma.f64 x (*.f64 x 5/24) -1/2)))
(+.f64 (+.f64 1 (.f64 x (.f64 -1/2 x))) (-.f64 (*.f64 5/24 (pow.f64 x 4)) 1))
(fma.f64 -1/2 (.f64 x x) (.f64 5/24 (pow.f64 x 4)))
(.f64 x (.f64 x (fma.f64 x (*.f64 x 5/24) -1/2)))
(-.f64 (+.f64 (fma.f64 -1/2 (.f64 x x) (.f64 5/24 (pow.f64 x 4))) 1) 1)
(fma.f64 -1/2 (.f64 x x) (.f64 5/24 (pow.f64 x 4)))
(.f64 x (.f64 x (fma.f64 x (*.f64 x 5/24) -1/2)))
(-.f64 (exp.f64 (log.f64 (+.f64 2 (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 x (.f64 x (fma.f64 x (*.f64 x 5/24) -1/2)))
(-.f64 (exp.f64 (log1p.f64 (.f64 5/24 (pow.f64 x 4)))) (-.f64 1 (.f64 x (*.f64 -1/2 x))))
(fma.f64 -1/2 (.f64 x x) (.f64 5/24 (pow.f64 x 4)))
(.f64 x (.f64 x (fma.f64 x (*.f64 x 5/24) -1/2)))
(-.f64 (/.f64 1 (-.f64 1 (fma.f64 -1/2 (.f64 x x) (.f64 5/24 (pow.f64 x 4))))) (+.f64 (/.f64 (pow.f64 (fma.f64 -1/2 (.f64 x x) (.f64 5/24 (pow.f64 x 4))) 2) (-.f64 1 (fma.f64 -1/2 (.f64 x x) (.f64 5/24 (pow.f64 x 4))))) 1))
(-.f64 (/.f64 (-.f64 1 (pow.f64 (fma.f64 -1/2 (.f64 x x) (.f64 5/24 (pow.f64 x 4))) 2)) (-.f64 1 (fma.f64 -1/2 (.f64 x x) (.f64 5/24 (pow.f64 x 4))))) 1)
(+.f64 (/.f64 (-.f64 1 (pow.f64 (.f64 x (.f64 x (fma.f64 x (.f64 x 5/24) -1/2))) 2)) (-.f64 1 (.f64 x (.f64 x (fma.f64 x (.f64 x 5/24) -1/2))))) -1)
(+.f64 (/.f64 (+.f64 (pow.f64 (.f64 x (.f64 x (fma.f64 x (.f64 x 5/24) -1/2))) 2) -1) (fma.f64 x (.f64 -1/2 x) (fma.f64 5/24 (pow.f64 x 4) -1))) -1)
(-.f64 (+.f64 (.f64 x (.f64 -1/2 x)) (exp.f64 (log1p.f64 (*.f64 5/24 (pow.f64 x 4))))) 1)
(fma.f64 -1/2 (.f64 x x) (.f64 5/24 (pow.f64 x 4)))
(.f64 x (.f64 x (fma.f64 x (*.f64 x 5/24) -1/2)))
(.f64 (.f64 x x) (+.f64 (.f64 (.f64 x x) 5/24) -1/2))
(fma.f64 -1/2 (.f64 x x) (.f64 5/24 (pow.f64 x 4)))
(.f64 x (.f64 x (fma.f64 x (*.f64 x 5/24) -1/2)))
(.f64 (.f64 x x) (+.f64 -1/2 (.f64 (.f64 x x) 5/24)))
(fma.f64 -1/2 (.f64 x x) (.f64 5/24 (pow.f64 x 4)))
(.f64 x (.f64 x (fma.f64 x (*.f64 x 5/24) -1/2)))
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(/.f64 (+.f64 1 (pow.f64 (.f64 x (.f64 x (fma.f64 x (.f64 x 5/24) -1/2))) 3)) (+.f64 1 (.f64 (.f64 x (.f64 x (fma.f64 x (.f64 x 5/24) -1/2))) (fma.f64 x (.f64 -1/2 x) (fma.f64 5/24 (pow.f64 x 4) -1)))))
(/.f64 (-.f64 (.f64 (pow.f64 x 4) 1/4) (.f64 (+.f64 (.f64 5/24 (pow.f64 x 4)) 1) (+.f64 (.f64 5/24 (pow.f64 x 4)) 1))) (-.f64 (.f64 x (.f64 -1/2 x)) (+.f64 (*.f64 5/24 (pow.f64 x 4)) 1)))
(/.f64 (-.f64 (.f64 (pow.f64 x 4) 1/4) (.f64 (fma.f64 5/24 (pow.f64 x 4) 1) (fma.f64 5/24 (pow.f64 x 4) 1))) (-.f64 (.f64 x (.f64 -1/2 x)) (fma.f64 5/24 (pow.f64 x 4) 1)))
(/.f64 (-.f64 (.f64 (pow.f64 x 4) 1/4) (.f64 (fma.f64 5/24 (pow.f64 x 4) 1) (fma.f64 5/24 (pow.f64 x 4) 1))) (+.f64 (fma.f64 (pow.f64 x 4) -5/24 (.f64 -1/2 (.f64 x x))) -1))
(/.f64 (-.f64 (.f64 (pow.f64 x 4) 1/4) (.f64 (fma.f64 5/24 (pow.f64 x 4) 1) (fma.f64 5/24 (pow.f64 x 4) 1))) (+.f64 (fma.f64 x (.f64 -1/2 x) (.f64 (pow.f64 x 4) -5/24)) -1))
(/.f64 (-.f64 (.f64 (+.f64 1 (.f64 x (.f64 -1/2 x))) (+.f64 1 (.f64 x (.f64 -1/2 x)))) (.f64 (pow.f64 x 8) 25/576)) (-.f64 (+.f64 1 (.f64 x (.f64 -1/2 x))) (*.f64 5/24 (pow.f64 x 4))))
(/.f64 (fma.f64 (+.f64 1 (.f64 x (.f64 -1/2 x))) (+.f64 1 (.f64 x (.f64 -1/2 x))) (neg.f64 (.f64 (pow.f64 x 8) 25/576))) (+.f64 1 (-.f64 (.f64 x (.f64 -1/2 x)) (.f64 5/24 (pow.f64 x 4)))))
(/.f64 (fma.f64 (fma.f64 -1/2 (.f64 x x) 1) (fma.f64 -1/2 (.f64 x x) 1) (.f64 -25/576 (pow.f64 x 8))) (+.f64 1 (fma.f64 (pow.f64 x 4) -5/24 (.f64 -1/2 (*.f64 x x)))))
(/.f64 (fma.f64 (fma.f64 -1/2 (.f64 x x) 1) (fma.f64 -1/2 (.f64 x x) 1) (.f64 -25/576 (pow.f64 x 8))) (+.f64 1 (fma.f64 x (.f64 -1/2 x) (*.f64 (pow.f64 x 4) -5/24))))
(pow.f64 (+.f64 1 (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))))
(fma.f64 x (*.f64 -1/2 x) (fma.f64 5/24 (pow.f64 x 4) 1))
(pow.f64 (sqrt.f64 (+.f64 1 (fma.f64 -1/2 (.f64 x x) (.f64 5/24 (pow.f64 x 4))))) 2)
(+.f64 1 (fma.f64 -1/2 (.f64 x x) (.f64 5/24 (pow.f64 x 4))))
(fma.f64 x (*.f64 -1/2 x) (fma.f64 5/24 (pow.f64 x 4) 1))
(pow.f64 (cbrt.f64 (+.f64 1 (fma.f64 -1/2 (.f64 x x) (.f64 5/24 (pow.f64 x 4))))) 3)
(+.f64 1 (fma.f64 -1/2 (.f64 x x) (.f64 5/24 (pow.f64 x 4))))
(fma.f64 x (*.f64 -1/2 x) (fma.f64 5/24 (pow.f64 x 4) 1))
(pow.f64 (pow.f64 (+.f64 1 (fma.f64 -1/2 (.f64 x x) (.f64 5/24 (pow.f64 x 4)))) 3) 1/3)
(+.f64 1 (fma.f64 -1/2 (.f64 x x) (.f64 5/24 (pow.f64 x 4))))
(fma.f64 x (*.f64 -1/2 x) (fma.f64 5/24 (pow.f64 x 4) 1))
(neg.f64 (/.f64 (-.f64 1 (pow.f64 (fma.f64 -1/2 (.f64 x x) (.f64 5/24 (pow.f64 x 4))) 2)) (neg.f64 (-.f64 1 (fma.f64 -1/2 (.f64 x x) (.f64 5/24 (pow.f64 x 4)))))))
(/.f64 (-.f64 1 (pow.f64 (fma.f64 -1/2 (.f64 x x) (.f64 5/24 (pow.f64 x 4))) 2)) (-.f64 1 (fma.f64 -1/2 (.f64 x x) (.f64 5/24 (pow.f64 x 4)))))
(/.f64 (-.f64 1 (pow.f64 (.f64 x (.f64 x (fma.f64 x (.f64 x 5/24) -1/2))) 2)) (-.f64 1 (.f64 x (.f64 x (fma.f64 x (.f64 x 5/24) -1/2)))))
(/.f64 (+.f64 (pow.f64 (.f64 x (.f64 x (fma.f64 x (.f64 x 5/24) -1/2))) 2) -1) (fma.f64 x (.f64 -1/2 x) (fma.f64 5/24 (pow.f64 x 4) -1)))
(neg.f64 (/.f64 (+.f64 1 (pow.f64 (fma.f64 -1/2 (.f64 x x) (.f64 5/24 (pow.f64 x 4))) 3)) (neg.f64 (-.f64 (pow.f64 (fma.f64 -1/2 (.f64 x x) (.f64 5/24 (pow.f64 x 4))) 2) (-.f64 (fma.f64 -1/2 (.f64 x x) (.f64 5/24 (pow.f64 x 4))) 1)))))
(/.f64 (-.f64 -1 (pow.f64 (fma.f64 -1/2 (.f64 x x) (.f64 5/24 (pow.f64 x 4))) 3)) (neg.f64 (+.f64 (-.f64 (pow.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)))) 1)))
(/.f64 (-.f64 -1 (pow.f64 (.f64 x (.f64 x (fma.f64 x (.f64 x 5/24) -1/2))) 3)) (+.f64 (neg.f64 (pow.f64 (.f64 x (.f64 x (fma.f64 x (.f64 x 5/24) -1/2))) 2)) (fma.f64 x (*.f64 -1/2 x) (fma.f64 5/24 (pow.f64 x 4) -1))))
(/.f64 (-.f64 -1 (pow.f64 (.f64 x (.f64 x (fma.f64 x (.f64 x 5/24) -1/2))) 3)) (-.f64 (fma.f64 x (.f64 -1/2 x) (fma.f64 5/24 (pow.f64 x 4) -1)) (pow.f64 (.f64 x (.f64 x (fma.f64 x (*.f64 x 5/24) -1/2))) 2)))
(sqrt.f64 (pow.f64 (+.f64 1 (fma.f64 -1/2 (.f64 x x) (.f64 5/24 (pow.f64 x 4)))) 2))
(fabs.f64 (fma.f64 x (*.f64 -1/2 x) (fma.f64 5/24 (pow.f64 x 4) 1)))
(log.f64 (exp.f64 (+.f64 1 (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 x (*.f64 -1/2 x) (fma.f64 5/24 (pow.f64 x 4) 1))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 1 (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 x (*.f64 -1/2 x) (fma.f64 5/24 (pow.f64 x 4) 1))
(cbrt.f64 (pow.f64 (+.f64 1 (fma.f64 -1/2 (.f64 x x) (.f64 5/24 (pow.f64 x 4)))) 3))
(+.f64 1 (fma.f64 -1/2 (.f64 x x) (.f64 5/24 (pow.f64 x 4))))
(fma.f64 x (*.f64 -1/2 x) (fma.f64 5/24 (pow.f64 x 4) 1))
(expm1.f64 (log.f64 (+.f64 2 (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 x (*.f64 -1/2 x) (fma.f64 5/24 (pow.f64 x 4) 1))
(exp.f64 (log1p.f64 (fma.f64 -1/2 (.f64 x x) (.f64 5/24 (pow.f64 x 4)))))
(exp.f64 (log1p.f64 (.f64 x (.f64 x (fma.f64 x (*.f64 x 5/24) -1/2)))))
(log1p.f64 (expm1.f64 (+.f64 1 (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 x (*.f64 -1/2 x) (fma.f64 5/24 (pow.f64 x 4) 1))
(fma.f64 1 (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))))
(fma.f64 x (*.f64 -1/2 x) (fma.f64 5/24 (pow.f64 x 4) 1))
(fma.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)))) 1)
(+.f64 1 (fma.f64 -1/2 (.f64 x x) (.f64 5/24 (pow.f64 x 4))))
(fma.f64 x (*.f64 -1/2 x) (fma.f64 5/24 (pow.f64 x 4) 1))
(fma.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)))) 1)
(+.f64 1 (fma.f64 -1/2 (.f64 x x) (.f64 5/24 (pow.f64 x 4))))
(fma.f64 x (*.f64 -1/2 x) (fma.f64 5/24 (pow.f64 x 4) 1))

localize13.0ms (0.2%)

Local error

Found 3 expressions with local error:

New	Error	Program
	0.0b	(cosh.f64 x)
✓	0.0b	(/.f64 2 (expm1.f64 (log1p.f64 (*.f64 2 (cosh.f64 x)))))
✓	0.8b	(log1p.f64 (*.f64 2 (cosh.f64 x)))

Compiler

Compiled 28 to 18 computations (35.7% saved)

series48.0ms (0.9%)

Counts

2 → 24

Calls

6 calls:

Time	Variable		Point	Expression
26.0ms	x	@	inf	(log1p.f64 (*.f64 2 (cosh.f64 x)))
20.0ms	x	@	-inf	(log1p.f64 (*.f64 2 (cosh.f64 x)))
2.0ms	x	@	0	(log1p.f64 (*.f64 2 (cosh.f64 x)))
0.0ms	x	@	0	(/.f64 2 (expm1.f64 (log1p.f64 (*.f64 2 (cosh.f64 x)))))
0.0ms	x	@	inf	(/.f64 2 (expm1.f64 (log1p.f64 (*.f64 2 (cosh.f64 x)))))

rewrite58.0ms (1.1%)

Algorithm

1×	batch-egg-rewrite

Rules

1740×	`add-sqr-sqrt`
1718×	`*-un-lft-identity`
1596×	`add-cube-cbrt`
1580×	`add-cbrt-cube`
184×	`pow1`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	10	32
1	206	26
2	2285	26

Stop Event

1×	node limit

Counts

2 → 38

Calls

Call 1

Inputs
(log1p.f64 (*.f64 2 (cosh.f64 x)))
(/.f64 2 (expm1.f64 (log1p.f64 (*.f64 2 (cosh.f64 x)))))

Outputs

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

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

simplify57.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

842×	`fma-def`
834×	`distribute-lft-in`
788×	`distribute-rgt-in`
786×	`associate-/l*`
704×	`*-commutative`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	114	1506
1	248	1502
2	847	1078
3	2856	882

Stop Event

1×	node limit

Counts

62 → 65

Calls

Call 1

Inputs
(log.f64 3)
(+.f64 (*.f64 1/3 (pow.f64 x 2)) (log.f64 3))
(+.f64 (.f64 1/3 (pow.f64 x 2)) (+.f64 (.f64 -1/36 (pow.f64 x 4)) (log.f64 3)))
(+.f64 (.f64 13/3240 (pow.f64 x 6)) (+.f64 (.f64 1/3 (pow.f64 x 2)) (+.f64 (*.f64 -1/36 (pow.f64 x 4)) (log.f64 3))))
(log.f64 (+.f64 1 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))))
(log.f64 (+.f64 1 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))))
(log.f64 (+.f64 1 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))))
(log.f64 (+.f64 1 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))))
(log.f64 (+.f64 1 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))))
(log.f64 (+.f64 1 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))))
(log.f64 (+.f64 1 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))))
(log.f64 (+.f64 1 (+.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 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 (log1p.f64 (*.f64 2 (cosh.f64 x))))) 1)
(.f64 (log1p.f64 (.f64 2 (cosh.f64 x))) 1)
(.f64 1 (log1p.f64 (.f64 2 (cosh.f64 x))))
(.f64 (sqrt.f64 (log1p.f64 (.f64 2 (cosh.f64 x)))) (sqrt.f64 (log1p.f64 (*.f64 2 (cosh.f64 x)))))
(.f64 (cbrt.f64 (log1p.f64 (.f64 2 (cosh.f64 x)))) (pow.f64 (cbrt.f64 (log1p.f64 (*.f64 2 (cosh.f64 x)))) 2))
(.f64 (pow.f64 (cbrt.f64 (log1p.f64 (.f64 2 (cosh.f64 x)))) 2) (cbrt.f64 (log1p.f64 (*.f64 2 (cosh.f64 x)))))
(pow.f64 (log1p.f64 (*.f64 2 (cosh.f64 x))) 1)
(pow.f64 (sqrt.f64 (log1p.f64 (*.f64 2 (cosh.f64 x)))) 2)
(pow.f64 (cbrt.f64 (log1p.f64 (*.f64 2 (cosh.f64 x)))) 3)
(pow.f64 (pow.f64 (log1p.f64 (*.f64 2 (cosh.f64 x))) 3) 1/3)
(sqrt.f64 (pow.f64 (log1p.f64 (*.f64 2 (cosh.f64 x))) 2))
(log.f64 (+.f64 (*.f64 2 (cosh.f64 x)) 1))
(cbrt.f64 (pow.f64 (log1p.f64 (*.f64 2 (cosh.f64 x))) 3))
(expm1.f64 (log1p.f64 (log1p.f64 (*.f64 2 (cosh.f64 x)))))
(exp.f64 (log.f64 (log1p.f64 (*.f64 2 (cosh.f64 x)))))
(exp.f64 (.f64 (log.f64 (log1p.f64 (.f64 2 (cosh.f64 x)))) 1))
(-.f64 (exp.f64 (log1p.f64 (/.f64 2 (expm1.f64 (log1p.f64 (*.f64 2 (cosh.f64 x))))))) 1)
(*.f64 2 (/.f64 1/2 (cosh.f64 x)))
(.f64 (/.f64 2 (expm1.f64 (log1p.f64 (.f64 2 (cosh.f64 x))))) 1)
(.f64 1 (/.f64 2 (expm1.f64 (log1p.f64 (.f64 2 (cosh.f64 x))))))
(*.f64 (/.f64 1 (sqrt.f64 (cosh.f64 x))) (/.f64 1 (sqrt.f64 (cosh.f64 x))))
(.f64 (cbrt.f64 (/.f64 2 (expm1.f64 (log1p.f64 (.f64 2 (cosh.f64 x)))))) (pow.f64 (cbrt.f64 (/.f64 2 (expm1.f64 (log1p.f64 (*.f64 2 (cosh.f64 x)))))) 2))
(.f64 (pow.f64 (cbrt.f64 (/.f64 2 (expm1.f64 (log1p.f64 (.f64 2 (cosh.f64 x)))))) 2) (cbrt.f64 (/.f64 2 (expm1.f64 (log1p.f64 (*.f64 2 (cosh.f64 x)))))))
(*.f64 (/.f64 1/2 (cosh.f64 x)) 2)
(.f64 -2 (/.f64 1 (.f64 (cosh.f64 x) -2)))
(pow.f64 (cosh.f64 x) -1)
(pow.f64 (/.f64 2 (expm1.f64 (log1p.f64 (*.f64 2 (cosh.f64 x))))) 1)
(pow.f64 (/.f64 1 (sqrt.f64 (cosh.f64 x))) 2)
(pow.f64 (cbrt.f64 (/.f64 2 (expm1.f64 (log1p.f64 (*.f64 2 (cosh.f64 x)))))) 3)
(pow.f64 (pow.f64 (/.f64 2 (expm1.f64 (log1p.f64 (*.f64 2 (cosh.f64 x))))) 3) 1/3)
(sqrt.f64 (pow.f64 (/.f64 2 (expm1.f64 (log1p.f64 (*.f64 2 (cosh.f64 x))))) 2))
(log.f64 (exp.f64 (/.f64 2 (expm1.f64 (log1p.f64 (*.f64 2 (cosh.f64 x)))))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 2 (expm1.f64 (log1p.f64 (*.f64 2 (cosh.f64 x))))))))
(cbrt.f64 (pow.f64 (/.f64 2 (expm1.f64 (log1p.f64 (*.f64 2 (cosh.f64 x))))) 3))
(expm1.f64 (log1p.f64 (/.f64 2 (expm1.f64 (log1p.f64 (*.f64 2 (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 2 (expm1.f64 (log1p.f64 (*.f64 2 (cosh.f64 x)))))))

Outputs
(log.f64 3)
(+.f64 (*.f64 1/3 (pow.f64 x 2)) (log.f64 3))
(fma.f64 1/3 (*.f64 x x) (log.f64 3))
(+.f64 (.f64 1/3 (pow.f64 x 2)) (+.f64 (.f64 -1/36 (pow.f64 x 4)) (log.f64 3)))
(fma.f64 1/3 (*.f64 x x) (fma.f64 -1/36 (pow.f64 x 4) (log.f64 3)))
(+.f64 (.f64 13/3240 (pow.f64 x 6)) (+.f64 (.f64 1/3 (pow.f64 x 2)) (+.f64 (*.f64 -1/36 (pow.f64 x 4)) (log.f64 3))))
(fma.f64 13/3240 (pow.f64 x 6) (fma.f64 1/3 (*.f64 x x) (fma.f64 -1/36 (pow.f64 x 4) (log.f64 3))))
(fma.f64 1/3 (*.f64 x x) (fma.f64 13/3240 (pow.f64 x 6) (fma.f64 -1/36 (pow.f64 x 4) (log.f64 3))))
(log.f64 (+.f64 1 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))))
(log1p.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(log1p.f64 (*.f64 2 (cosh.f64 x)))
(log.f64 (+.f64 1 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))))
(log1p.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(log1p.f64 (*.f64 2 (cosh.f64 x)))
(log.f64 (+.f64 1 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))))
(log1p.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(log1p.f64 (*.f64 2 (cosh.f64 x)))
(log.f64 (+.f64 1 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))))
(log1p.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(log1p.f64 (*.f64 2 (cosh.f64 x)))
(log.f64 (+.f64 1 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))))
(log1p.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(log1p.f64 (*.f64 2 (cosh.f64 x)))
(log.f64 (+.f64 1 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))))
(log1p.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(log1p.f64 (*.f64 2 (cosh.f64 x)))
(log.f64 (+.f64 1 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))))
(log1p.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(log1p.f64 (*.f64 2 (cosh.f64 x)))
(log.f64 (+.f64 1 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))))
(log1p.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(log1p.f64 (*.f64 2 (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)
(+.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))
(+.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 6) -61/720 (.f64 (pow.f64 x 4) 5/24))))
(+.f64 1 (fma.f64 x (.f64 x -1/2) (fma.f64 (pow.f64 x 4) 5/24 (.f64 (pow.f64 x 6) -61/720))))
(fma.f64 (.f64 x x) (fma.f64 (.f64 x x) 5/24 -1/2) (fma.f64 (pow.f64 x 6) -61/720 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 (log1p.f64 (*.f64 2 (cosh.f64 x))))) 1)
(log1p.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(log1p.f64 (*.f64 2 (cosh.f64 x)))
(.f64 (log1p.f64 (.f64 2 (cosh.f64 x))) 1)
(log1p.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(log1p.f64 (*.f64 2 (cosh.f64 x)))
(.f64 1 (log1p.f64 (.f64 2 (cosh.f64 x))))
(log1p.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(log1p.f64 (*.f64 2 (cosh.f64 x)))
(.f64 (sqrt.f64 (log1p.f64 (.f64 2 (cosh.f64 x)))) (sqrt.f64 (log1p.f64 (*.f64 2 (cosh.f64 x)))))
(log1p.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(log1p.f64 (*.f64 2 (cosh.f64 x)))
(.f64 (cbrt.f64 (log1p.f64 (.f64 2 (cosh.f64 x)))) (pow.f64 (cbrt.f64 (log1p.f64 (*.f64 2 (cosh.f64 x)))) 2))
(log1p.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(log1p.f64 (*.f64 2 (cosh.f64 x)))
(.f64 (pow.f64 (cbrt.f64 (log1p.f64 (.f64 2 (cosh.f64 x)))) 2) (cbrt.f64 (log1p.f64 (*.f64 2 (cosh.f64 x)))))
(log1p.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(log1p.f64 (*.f64 2 (cosh.f64 x)))
(pow.f64 (log1p.f64 (*.f64 2 (cosh.f64 x))) 1)
(log1p.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(log1p.f64 (*.f64 2 (cosh.f64 x)))
(pow.f64 (sqrt.f64 (log1p.f64 (*.f64 2 (cosh.f64 x)))) 2)
(log1p.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(log1p.f64 (*.f64 2 (cosh.f64 x)))
(pow.f64 (cbrt.f64 (log1p.f64 (*.f64 2 (cosh.f64 x)))) 3)
(log1p.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(log1p.f64 (*.f64 2 (cosh.f64 x)))
(pow.f64 (pow.f64 (log1p.f64 (*.f64 2 (cosh.f64 x))) 3) 1/3)
(log1p.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(log1p.f64 (*.f64 2 (cosh.f64 x)))
(sqrt.f64 (pow.f64 (log1p.f64 (*.f64 2 (cosh.f64 x))) 2))
(log1p.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(log1p.f64 (*.f64 2 (cosh.f64 x)))
(log.f64 (+.f64 (*.f64 2 (cosh.f64 x)) 1))
(log1p.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(log1p.f64 (*.f64 2 (cosh.f64 x)))
(cbrt.f64 (pow.f64 (log1p.f64 (*.f64 2 (cosh.f64 x))) 3))
(log1p.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(log1p.f64 (*.f64 2 (cosh.f64 x)))
(expm1.f64 (log1p.f64 (log1p.f64 (*.f64 2 (cosh.f64 x)))))
(log1p.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(log1p.f64 (*.f64 2 (cosh.f64 x)))
(exp.f64 (log.f64 (log1p.f64 (*.f64 2 (cosh.f64 x)))))
(log1p.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(log1p.f64 (*.f64 2 (cosh.f64 x)))
(exp.f64 (.f64 (log.f64 (log1p.f64 (.f64 2 (cosh.f64 x)))) 1))
(log1p.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(log1p.f64 (*.f64 2 (cosh.f64 x)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 2 (expm1.f64 (log1p.f64 (*.f64 2 (cosh.f64 x))))))) 1)
(/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(/.f64 1 (cosh.f64 x))
(*.f64 2 (/.f64 1/2 (cosh.f64 x)))
(/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(/.f64 1 (cosh.f64 x))
(.f64 (/.f64 2 (expm1.f64 (log1p.f64 (.f64 2 (cosh.f64 x))))) 1)
(/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(/.f64 1 (cosh.f64 x))
(.f64 1 (/.f64 2 (expm1.f64 (log1p.f64 (.f64 2 (cosh.f64 x))))))
(/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(/.f64 1 (cosh.f64 x))
(*.f64 (/.f64 1 (sqrt.f64 (cosh.f64 x))) (/.f64 1 (sqrt.f64 (cosh.f64 x))))
(/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(/.f64 1 (cosh.f64 x))
(.f64 (cbrt.f64 (/.f64 2 (expm1.f64 (log1p.f64 (.f64 2 (cosh.f64 x)))))) (pow.f64 (cbrt.f64 (/.f64 2 (expm1.f64 (log1p.f64 (*.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 (cbrt.f64 (/.f64 2 (expm1.f64 (log1p.f64 (.f64 2 (cosh.f64 x)))))) 2) (cbrt.f64 (/.f64 2 (expm1.f64 (log1p.f64 (*.f64 2 (cosh.f64 x)))))))
(/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(/.f64 1 (cosh.f64 x))
(*.f64 (/.f64 1/2 (cosh.f64 x)) 2)
(/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(/.f64 1 (cosh.f64 x))
(.f64 -2 (/.f64 1 (.f64 (cosh.f64 x) -2)))
(/.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 2 (expm1.f64 (log1p.f64 (*.f64 2 (cosh.f64 x))))) 1)
(/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(/.f64 1 (cosh.f64 x))
(pow.f64 (/.f64 1 (sqrt.f64 (cosh.f64 x))) 2)
(/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(/.f64 1 (cosh.f64 x))
(pow.f64 (cbrt.f64 (/.f64 2 (expm1.f64 (log1p.f64 (*.f64 2 (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 2 (expm1.f64 (log1p.f64 (*.f64 2 (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 (/.f64 2 (expm1.f64 (log1p.f64 (*.f64 2 (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 2 (expm1.f64 (log1p.f64 (*.f64 2 (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 2 (expm1.f64 (log1p.f64 (*.f64 2 (cosh.f64 x))))))))
(/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(/.f64 1 (cosh.f64 x))
(cbrt.f64 (pow.f64 (/.f64 2 (expm1.f64 (log1p.f64 (*.f64 2 (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 2 (expm1.f64 (log1p.f64 (*.f64 2 (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 2 (expm1.f64 (log1p.f64 (*.f64 2 (cosh.f64 x)))))))
(/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(/.f64 1 (cosh.f64 x))

eval203.0ms (3.9%)

Compiler: Compiled 10737 to 7798 computations (27.4% saved)

prune73.0ms (1.4%)

Pruning

8 alts after pruning (5 fresh and 3 done)

	Pruned	Kept	Total
New	502	4	506
Fresh	0	1	1
Picked	1	0	1
Done	1	3	4
Total	504	8	512

Error

Counts

512 → 8

Alt Table

Click to see full alt table

Status	Error	Program
▶	50.9b	(/.f64 (/.f64 2 x) x)
✓	15.8b	(/.f64 2 (+.f64 2 (*.f64 x x)))
▶	50.3b	(/.f64 2 (*.f64 x x))
✓	0.0b	(/.f64 1 (cosh.f64 x))
▶	0.0b	(-.f64 (+.f64 1 (/.f64 1 (cosh.f64 x))) 1)
▶	28.3b	(+.f64 1 (.f64 (.f64 x x) (+.f64 (.f64 (.f64 x x) 5/24) -1/2)))
✓	28.1b	(+.f64 1 (.f64 -1/2 (.f64 x x)))
	27.7b	1

Compiler

Compiled 58 to 43 computations (25.9% saved)

localize13.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 1 (.f64 (.f64 x x) (+.f64 (.f64 (.f64 x x) 5/24) -1/2)))
✓	0.0b	(+.f64 (.f64 (.f64 x x) 5/24) -1/2)
✓	0.0b	(.f64 (.f64 x x) (+.f64 (.f64 (.f64 x x) 5/24) -1/2))
✓	0.4b	(.f64 (.f64 x x) 5/24)

Compiler

Compiled 44 to 23 computations (47.7% saved)

series2.0ms (0%)

Counts

4 → 48

Calls

12 calls:

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

rewrite105.0ms (2%)

Algorithm

1×	batch-egg-rewrite

Rules

1108×	`*-commutative`
990×	`associate-*r/`
736×	`distribute-lft-in`
714×	`distribute-rgt-in`
696×	`associate-*l/`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	11	88
1	246	84
2	3234	84

Stop Event

1×	node limit

Counts

4 → 215

Calls

Call 1

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

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

simplify171.0ms (3.3%)

Algorithm

1×	egg-herbie

Rules

950×	`+-commutative`
814×	`associate-/l*`
790×	`associate-r`
708×	`associate-l`
518×	`*-commutative`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	536	15261
1	1570	14059
2	7253	13989

Stop Event

1×	node limit

Counts

263 → 355

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)
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 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 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 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 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 5/24 (pow.f64 x 4))))
(-.f64 (exp.f64 (log1p.f64 (.f64 (.f64 x x) 5/24))) 1)
(pow.f64 (.f64 (.f64 x x) 5/24) 1)
(pow.f64 (*.f64 x (sqrt.f64 5/24)) 2)
(pow.f64 (cbrt.f64 (.f64 (.f64 x x) 5/24)) 3)
(pow.f64 (.f64 125/13824 (pow.f64 (.f64 x x) 3)) 1/3)
(sqrt.f64 (*.f64 25/576 (pow.f64 x 4)))
(log.f64 (pow.f64 (exp.f64 5/24) (*.f64 x x)))
(log.f64 (+.f64 1 (expm1.f64 (.f64 (.f64 x x) 5/24))))
(cbrt.f64 (.f64 125/13824 (pow.f64 (.f64 x x) 3)))
(expm1.f64 (log1p.f64 (.f64 (.f64 x x) 5/24)))
(exp.f64 (log.f64 (.f64 (.f64 x x) 5/24)))
(log1p.f64 (expm1.f64 (.f64 (.f64 x x) 5/24)))
(+.f64 (.f64 (.f64 x x) (+.f64 (.f64 (.f64 x x) 5/24) -1/2)) 0)
(+.f64 1 (-.f64 (.f64 (.f64 x x) (+.f64 (.f64 (.f64 x x) 5/24) -1/2)) 1))
(+.f64 (.f64 (.f64 x x) -1/2) (*.f64 5/24 (pow.f64 x 4)))
(+.f64 (.f64 5/24 (pow.f64 x 4)) (.f64 (*.f64 x x) -1/2))
(+.f64 (.f64 5/24 (pow.f64 x 4)) (-.f64 (+.f64 1 (.f64 (*.f64 x x) -1/2)) 1))
(+.f64 (+.f64 1 (.f64 5/24 (pow.f64 x 4))) (-.f64 (.f64 (*.f64 x x) -1/2) 1))
(-.f64 (fma.f64 x (.f64 x (+.f64 (.f64 (*.f64 x x) 5/24) -1/2)) 1) 1)
(-.f64 (exp.f64 (log1p.f64 (fma.f64 x (.f64 x (+.f64 (.f64 (*.f64 x x) 5/24) -1/2)) 1))) 2)
(-.f64 (/.f64 1 (-.f64 1 (.f64 (.f64 x x) (+.f64 (.f64 (.f64 x x) 5/24) -1/2)))) (+.f64 (/.f64 (pow.f64 (.f64 (.f64 x x) (+.f64 (.f64 (.f64 x x) 5/24) -1/2)) 2) (-.f64 1 (.f64 (.f64 x x) (+.f64 (.f64 (.f64 x x) 5/24) -1/2)))) 1))
(/.f64 (.f64 x x) (/.f64 1 (+.f64 (.f64 (*.f64 x x) 5/24) -1/2)))
(/.f64 (+.f64 (.f64 25/576 (pow.f64 x 4)) -1/4) (/.f64 (fma.f64 (.f64 x x) 5/24 1/2) (*.f64 x x)))
(/.f64 (+.f64 -1/8 (.f64 125/13824 (pow.f64 (.f64 x x) 3))) (/.f64 (+.f64 (.f64 25/576 (pow.f64 x 4)) (-.f64 1/4 (.f64 (.f64 x x) -5/48))) (.f64 x x)))
(/.f64 (.f64 (.f64 x x) (+.f64 (.f64 25/576 (pow.f64 x 4)) -1/4)) (fma.f64 (.f64 x x) 5/24 1/2))
(/.f64 (.f64 (.f64 x x) (+.f64 -1/8 (.f64 125/13824 (pow.f64 (.f64 x x) 3)))) (+.f64 (.f64 25/576 (pow.f64 x 4)) (-.f64 1/4 (.f64 (*.f64 x x) -5/48))))
(/.f64 (-.f64 (.f64 (.f64 5/24 (pow.f64 x 4)) (.f64 5/24 (pow.f64 x 4))) (.f64 (.f64 (.f64 x x) -1/2) (.f64 (.f64 x x) -1/2))) (-.f64 (.f64 5/24 (pow.f64 x 4)) (.f64 (*.f64 x x) -1/2)))
(/.f64 (+.f64 (pow.f64 (.f64 5/24 (pow.f64 x 4)) 3) (pow.f64 (.f64 (.f64 x x) -1/2) 3)) (+.f64 (.f64 (.f64 5/24 (pow.f64 x 4)) (.f64 5/24 (pow.f64 x 4))) (-.f64 (.f64 (.f64 (.f64 x x) -1/2) (.f64 (.f64 x x) -1/2)) (.f64 (.f64 (.f64 x x) -1/2) (*.f64 5/24 (pow.f64 x 4))))))
(/.f64 (.f64 x (.f64 x (+.f64 (.f64 25/576 (pow.f64 x 4)) -1/4))) (fma.f64 (.f64 x x) 5/24 1/2))
(/.f64 (.f64 x (.f64 x (+.f64 -1/8 (.f64 125/13824 (pow.f64 (.f64 x x) 3))))) (+.f64 (.f64 25/576 (pow.f64 x 4)) (-.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 25/576 (pow.f64 x 4)) -1/4))) (neg.f64 (fma.f64 (.f64 x x) 5/24 1/2)))
(/.f64 (.f64 (.f64 x x) (neg.f64 (+.f64 -1/8 (.f64 125/13824 (pow.f64 (.f64 x x) 3))))) (neg.f64 (+.f64 (.f64 25/576 (pow.f64 x 4)) (-.f64 1/4 (.f64 (*.f64 x x) -5/48)))))
(/.f64 (.f64 1 (.f64 (.f64 x x) (+.f64 (.f64 25/576 (pow.f64 x 4)) -1/4))) (fma.f64 (*.f64 x x) 5/24 1/2))
(/.f64 (.f64 1 (.f64 (.f64 x x) (+.f64 -1/8 (.f64 125/13824 (pow.f64 (.f64 x x) 3))))) (+.f64 (.f64 25/576 (pow.f64 x 4)) (-.f64 1/4 (.f64 (.f64 x x) -5/48))))
(/.f64 (.f64 1 (-.f64 (.f64 (.f64 5/24 (pow.f64 x 4)) (.f64 5/24 (pow.f64 x 4))) (.f64 (.f64 (.f64 x x) -1/2) (.f64 (.f64 x x) -1/2)))) (-.f64 (.f64 5/24 (pow.f64 x 4)) (.f64 (.f64 x x) -1/2)))
(/.f64 (.f64 1 (+.f64 (pow.f64 (.f64 5/24 (pow.f64 x 4)) 3) (pow.f64 (.f64 (.f64 x x) -1/2) 3))) (+.f64 (.f64 (.f64 5/24 (pow.f64 x 4)) (.f64 5/24 (pow.f64 x 4))) (-.f64 (.f64 (.f64 (.f64 x x) -1/2) (.f64 (.f64 x x) -1/2)) (.f64 (.f64 (.f64 x x) -1/2) (.f64 5/24 (pow.f64 x 4))))))
(/.f64 (.f64 (.f64 (.f64 x x) (sqrt.f64 (+.f64 (.f64 (.f64 x x) 5/24) -1/2))) (sqrt.f64 (+.f64 -1/8 (.f64 125/13824 (pow.f64 (.f64 x x) 3))))) (sqrt.f64 (+.f64 (.f64 25/576 (pow.f64 x 4)) (-.f64 1/4 (.f64 (.f64 x x) -5/48)))))
(/.f64 (.f64 (.f64 (.f64 x x) (sqrt.f64 (+.f64 (.f64 (.f64 x x) 5/24) -1/2))) (sqrt.f64 (+.f64 (.f64 25/576 (pow.f64 x 4)) -1/4))) (sqrt.f64 (fma.f64 (*.f64 x x) 5/24 1/2)))
(/.f64 (.f64 (.f64 (.f64 x x) (pow.f64 (cbrt.f64 (+.f64 (.f64 (.f64 x x) 5/24) -1/2)) 2)) (cbrt.f64 (+.f64 -1/8 (.f64 125/13824 (pow.f64 (.f64 x x) 3))))) (cbrt.f64 (+.f64 (.f64 25/576 (pow.f64 x 4)) (-.f64 1/4 (.f64 (.f64 x x) -5/48)))))
(/.f64 (.f64 (.f64 (.f64 x x) (pow.f64 (cbrt.f64 (+.f64 (.f64 (.f64 x x) 5/24) -1/2)) 2)) (cbrt.f64 (+.f64 (.f64 25/576 (pow.f64 x 4)) -1/4))) (cbrt.f64 (fma.f64 (*.f64 x x) 5/24 1/2)))
(/.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 25/576 (pow.f64 x 4)) -1/4)) (.f64 x x)) (neg.f64 (fma.f64 (.f64 x x) 5/24 1/2)))
(/.f64 (.f64 (neg.f64 (+.f64 -1/8 (.f64 125/13824 (pow.f64 (.f64 x x) 3)))) (.f64 x x)) (neg.f64 (+.f64 (.f64 25/576 (pow.f64 x 4)) (-.f64 1/4 (.f64 (*.f64 x x) -5/48)))))
(/.f64 (.f64 (.f64 (.f64 x x) (+.f64 (.f64 25/576 (pow.f64 x 4)) -1/4)) 1) (fma.f64 (*.f64 x x) 5/24 1/2))
(/.f64 (.f64 (.f64 (.f64 x x) (+.f64 -1/8 (.f64 125/13824 (pow.f64 (.f64 x x) 3)))) 1) (+.f64 (.f64 25/576 (pow.f64 x 4)) (-.f64 1/4 (.f64 (.f64 x x) -5/48))))
(/.f64 (.f64 (-.f64 (.f64 (.f64 5/24 (pow.f64 x 4)) (.f64 5/24 (pow.f64 x 4))) (.f64 (.f64 (.f64 x x) -1/2) (.f64 (.f64 x x) -1/2))) 1) (-.f64 (.f64 5/24 (pow.f64 x 4)) (.f64 (.f64 x x) -1/2)))
(/.f64 (.f64 (+.f64 (pow.f64 (.f64 5/24 (pow.f64 x 4)) 3) (pow.f64 (.f64 (.f64 x x) -1/2) 3)) 1) (+.f64 (.f64 (.f64 5/24 (pow.f64 x 4)) (.f64 5/24 (pow.f64 x 4))) (-.f64 (.f64 (.f64 (.f64 x x) -1/2) (.f64 (.f64 x x) -1/2)) (.f64 (.f64 (.f64 x x) -1/2) (.f64 5/24 (pow.f64 x 4))))))
(/.f64 (.f64 (sqrt.f64 (+.f64 -1/8 (.f64 125/13824 (pow.f64 (.f64 x x) 3)))) (.f64 (.f64 x x) (sqrt.f64 (+.f64 (.f64 (.f64 x x) 5/24) -1/2)))) (sqrt.f64 (+.f64 (.f64 25/576 (pow.f64 x 4)) (-.f64 1/4 (.f64 (.f64 x x) -5/48)))))
(/.f64 (.f64 (sqrt.f64 (+.f64 (.f64 25/576 (pow.f64 x 4)) -1/4)) (.f64 (.f64 x x) (sqrt.f64 (+.f64 (.f64 (.f64 x x) 5/24) -1/2)))) (sqrt.f64 (fma.f64 (*.f64 x x) 5/24 1/2)))
(/.f64 (.f64 (.f64 x (+.f64 (.f64 25/576 (pow.f64 x 4)) -1/4)) x) (fma.f64 (.f64 x x) 5/24 1/2))
(/.f64 (.f64 (.f64 x (+.f64 -1/8 (.f64 125/13824 (pow.f64 (.f64 x x) 3)))) x) (+.f64 (.f64 25/576 (pow.f64 x 4)) (-.f64 1/4 (.f64 (*.f64 x x) -5/48))))
(/.f64 (/.f64 (.f64 (.f64 x x) (+.f64 (.f64 25/576 (pow.f64 x 4)) -1/4)) 1) (fma.f64 (.f64 x x) 5/24 1/2))
(/.f64 (/.f64 (.f64 (.f64 x x) (+.f64 (.f64 25/576 (pow.f64 x 4)) -1/4)) (sqrt.f64 (fma.f64 (.f64 x x) 5/24 1/2))) (sqrt.f64 (fma.f64 (*.f64 x x) 5/24 1/2)))
(/.f64 (/.f64 (.f64 (.f64 x x) (+.f64 (.f64 25/576 (pow.f64 x 4)) -1/4)) (.f64 (cbrt.f64 (fma.f64 (.f64 x x) 5/24 1/2)) (cbrt.f64 (fma.f64 (.f64 x x) 5/24 1/2)))) (cbrt.f64 (fma.f64 (*.f64 x x) 5/24 1/2)))
(/.f64 (/.f64 (.f64 (.f64 x x) (+.f64 -1/8 (.f64 125/13824 (pow.f64 (.f64 x x) 3)))) 1) (+.f64 (.f64 25/576 (pow.f64 x 4)) (-.f64 1/4 (.f64 (*.f64 x x) -5/48))))
(/.f64 (/.f64 (.f64 (.f64 x x) (+.f64 -1/8 (.f64 125/13824 (pow.f64 (.f64 x x) 3)))) (sqrt.f64 (+.f64 (.f64 25/576 (pow.f64 x 4)) (-.f64 1/4 (.f64 (.f64 x x) -5/48))))) (sqrt.f64 (+.f64 (.f64 25/576 (pow.f64 x 4)) (-.f64 1/4 (.f64 (.f64 x x) -5/48)))))
(/.f64 (/.f64 (.f64 (.f64 x x) (+.f64 -1/8 (.f64 125/13824 (pow.f64 (.f64 x x) 3)))) (.f64 (cbrt.f64 (+.f64 (.f64 25/576 (pow.f64 x 4)) (-.f64 1/4 (.f64 (.f64 x x) -5/48)))) (cbrt.f64 (+.f64 (.f64 25/576 (pow.f64 x 4)) (-.f64 1/4 (.f64 (.f64 x x) -5/48)))))) (cbrt.f64 (+.f64 (.f64 25/576 (pow.f64 x 4)) (-.f64 1/4 (.f64 (.f64 x x) -5/48)))))
(pow.f64 (.f64 (.f64 x x) (+.f64 (.f64 (.f64 x x) 5/24) -1/2)) 1)
(pow.f64 (.f64 x (sqrt.f64 (+.f64 (.f64 (*.f64 x x) 5/24) -1/2))) 2)
(pow.f64 (cbrt.f64 (.f64 (.f64 x x) (+.f64 (.f64 (.f64 x x) 5/24) -1/2))) 3)
(pow.f64 (pow.f64 (.f64 (.f64 x x) (+.f64 (.f64 (.f64 x x) 5/24) -1/2)) 3) 1/3)
(sqrt.f64 (pow.f64 (.f64 (.f64 x x) (+.f64 (.f64 (.f64 x x) 5/24) -1/2)) 2))
(log.f64 (pow.f64 (exp.f64 x) (.f64 x (+.f64 (.f64 (*.f64 x x) 5/24) -1/2))))
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(/.f64 (+.f64 1 (pow.f64 (.f64 (.f64 x x) (+.f64 (.f64 (.f64 x x) 5/24) -1/2)) 3)) (-.f64 (+.f64 1 (pow.f64 (.f64 (.f64 x x) (+.f64 (.f64 (.f64 x x) 5/24) -1/2)) 2)) (.f64 (.f64 x x) (+.f64 (.f64 (.f64 x x) 5/24) -1/2))))
(/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (.f64 (.f64 x x) (+.f64 (.f64 (.f64 x x) 5/24) -1/2)) 2))) (/.f64 (-.f64 1 (.f64 (.f64 x x) (+.f64 (.f64 (.f64 x x) 5/24) -1/2))) (sqrt.f64 (-.f64 1 (pow.f64 (.f64 (.f64 x x) (+.f64 (.f64 (.f64 x x) 5/24) -1/2)) 2)))))
(/.f64 (sqrt.f64 (+.f64 1 (pow.f64 (.f64 (.f64 x x) (+.f64 (.f64 (.f64 x x) 5/24) -1/2)) 3))) (/.f64 (-.f64 (+.f64 1 (pow.f64 (.f64 (.f64 x x) (+.f64 (.f64 (.f64 x x) 5/24) -1/2)) 2)) (.f64 (.f64 x x) (+.f64 (.f64 (.f64 x x) 5/24) -1/2))) (sqrt.f64 (+.f64 1 (pow.f64 (.f64 (.f64 x x) (+.f64 (.f64 (.f64 x x) 5/24) -1/2)) 3)))))
(/.f64 (.f64 (cbrt.f64 (-.f64 1 (pow.f64 (.f64 (.f64 x x) (+.f64 (.f64 (.f64 x x) 5/24) -1/2)) 2))) (cbrt.f64 (-.f64 1 (pow.f64 (.f64 (.f64 x x) (+.f64 (.f64 (.f64 x x) 5/24) -1/2)) 2)))) (/.f64 (-.f64 1 (.f64 (.f64 x x) (+.f64 (.f64 (.f64 x x) 5/24) -1/2))) (cbrt.f64 (-.f64 1 (pow.f64 (.f64 (.f64 x x) (+.f64 (.f64 (*.f64 x x) 5/24) -1/2)) 2)))))
(/.f64 (.f64 (cbrt.f64 (+.f64 1 (pow.f64 (.f64 (.f64 x x) (+.f64 (.f64 (.f64 x x) 5/24) -1/2)) 3))) (cbrt.f64 (+.f64 1 (pow.f64 (.f64 (.f64 x x) (+.f64 (.f64 (.f64 x x) 5/24) -1/2)) 3)))) (/.f64 (-.f64 (+.f64 1 (pow.f64 (.f64 (.f64 x x) (+.f64 (.f64 (.f64 x x) 5/24) -1/2)) 2)) (.f64 (.f64 x x) (+.f64 (.f64 (.f64 x x) 5/24) -1/2))) (cbrt.f64 (+.f64 1 (pow.f64 (.f64 (.f64 x x) (+.f64 (.f64 (*.f64 x x) 5/24) -1/2)) 3)))))
(/.f64 (-.f64 (pow.f64 (.f64 (.f64 x x) (+.f64 (.f64 (.f64 x x) 5/24) -1/2)) 2) 1) (-.f64 (.f64 (.f64 x x) (+.f64 (.f64 (.f64 x x) 5/24) -1/2)) 1))
(/.f64 (-.f64 1 (.f64 (pow.f64 (.f64 (.f64 x x) (+.f64 (.f64 (.f64 x x) 5/24) -1/2)) 3) (pow.f64 (.f64 (.f64 x x) (+.f64 (.f64 (.f64 x x) 5/24) -1/2)) 3))) (.f64 (-.f64 (+.f64 1 (pow.f64 (.f64 (.f64 x x) (+.f64 (.f64 (.f64 x x) 5/24) -1/2)) 2)) (.f64 (.f64 x x) (+.f64 (.f64 (.f64 x x) 5/24) -1/2))) (-.f64 1 (pow.f64 (.f64 (.f64 x x) (+.f64 (.f64 (.f64 x x) 5/24) -1/2)) 3))))
(/.f64 (-.f64 1 (.f64 (pow.f64 (.f64 (.f64 x x) (+.f64 (.f64 (.f64 x x) 5/24) -1/2)) 2) (pow.f64 (.f64 (.f64 x x) (+.f64 (.f64 (.f64 x x) 5/24) -1/2)) 2))) (.f64 (-.f64 1 (.f64 (.f64 x x) (+.f64 (.f64 (.f64 x x) 5/24) -1/2))) (+.f64 1 (pow.f64 (.f64 (.f64 x x) (+.f64 (.f64 (.f64 x x) 5/24) -1/2)) 2))))
(/.f64 (+.f64 1 (pow.f64 (pow.f64 (.f64 (.f64 x x) (+.f64 (.f64 (.f64 x x) 5/24) -1/2)) 3) 3)) (.f64 (-.f64 (+.f64 1 (pow.f64 (.f64 (.f64 x x) (+.f64 (.f64 (.f64 x x) 5/24) -1/2)) 2)) (.f64 (.f64 x x) (+.f64 (.f64 (.f64 x x) 5/24) -1/2))) (+.f64 1 (-.f64 (.f64 (pow.f64 (.f64 (.f64 x x) (+.f64 (.f64 (.f64 x x) 5/24) -1/2)) 3) (pow.f64 (.f64 (.f64 x x) (+.f64 (.f64 (.f64 x x) 5/24) -1/2)) 3)) (pow.f64 (.f64 (.f64 x x) (+.f64 (.f64 (.f64 x x) 5/24) -1/2)) 3)))))
(/.f64 (-.f64 1 (pow.f64 (pow.f64 (.f64 (.f64 x x) (+.f64 (.f64 (.f64 x x) 5/24) -1/2)) 2) 3)) (.f64 (-.f64 1 (.f64 (.f64 x x) (+.f64 (.f64 (.f64 x x) 5/24) -1/2))) (+.f64 1 (+.f64 (pow.f64 (.f64 (.f64 x x) (+.f64 (.f64 (.f64 x x) 5/24) -1/2)) 2) (.f64 (pow.f64 (.f64 (.f64 x x) (+.f64 (.f64 (.f64 x x) 5/24) -1/2)) 2) (pow.f64 (.f64 (.f64 x x) (+.f64 (.f64 (.f64 x x) 5/24) -1/2)) 2))))))
(/.f64 (neg.f64 (-.f64 1 (pow.f64 (.f64 (.f64 x x) (+.f64 (.f64 (.f64 x x) 5/24) -1/2)) 2))) (neg.f64 (-.f64 1 (.f64 (.f64 x x) (+.f64 (.f64 (.f64 x x) 5/24) -1/2)))))
(/.f64 (neg.f64 (+.f64 1 (pow.f64 (.f64 (.f64 x x) (+.f64 (.f64 (.f64 x x) 5/24) -1/2)) 3))) (neg.f64 (-.f64 (+.f64 1 (pow.f64 (.f64 (.f64 x x) (+.f64 (.f64 (.f64 x x) 5/24) -1/2)) 2)) (.f64 (.f64 x x) (+.f64 (.f64 (.f64 x x) 5/24) -1/2)))))
(/.f64 (.f64 1 (-.f64 (pow.f64 (.f64 (.f64 x x) (+.f64 (.f64 (.f64 x x) 5/24) -1/2)) 2) 1)) (-.f64 (.f64 (.f64 x x) (+.f64 (.f64 (*.f64 x x) 5/24) -1/2)) 1))
(/.f64 (.f64 1 (neg.f64 (-.f64 1 (pow.f64 (.f64 (.f64 x x) (+.f64 (.f64 (.f64 x x) 5/24) -1/2)) 2)))) (neg.f64 (-.f64 1 (.f64 (.f64 x x) (+.f64 (.f64 (*.f64 x x) 5/24) -1/2)))))
(/.f64 (.f64 1 (neg.f64 (+.f64 1 (pow.f64 (.f64 (.f64 x x) (+.f64 (.f64 (.f64 x x) 5/24) -1/2)) 3)))) (neg.f64 (-.f64 (+.f64 1 (pow.f64 (.f64 (.f64 x x) (+.f64 (.f64 (.f64 x x) 5/24) -1/2)) 2)) (.f64 (.f64 x x) (+.f64 (.f64 (*.f64 x x) 5/24) -1/2)))))
(/.f64 (.f64 (hypot.f64 1 (.f64 x (sqrt.f64 (+.f64 (.f64 (.f64 x x) 5/24) -1/2)))) (sqrt.f64 (-.f64 1 (pow.f64 (.f64 (.f64 x x) (+.f64 (.f64 (.f64 x x) 5/24) -1/2)) 2)))) (sqrt.f64 (-.f64 1 (.f64 (.f64 x x) (+.f64 (.f64 (.f64 x x) 5/24) -1/2)))))
(/.f64 (.f64 (hypot.f64 1 (.f64 x (sqrt.f64 (+.f64 (.f64 (.f64 x x) 5/24) -1/2)))) (sqrt.f64 (+.f64 1 (pow.f64 (.f64 (.f64 x x) (+.f64 (.f64 (.f64 x x) 5/24) -1/2)) 3)))) (sqrt.f64 (-.f64 (+.f64 1 (pow.f64 (.f64 (.f64 x x) (+.f64 (.f64 (.f64 x x) 5/24) -1/2)) 2)) (.f64 (.f64 x x) (+.f64 (.f64 (.f64 x x) 5/24) -1/2)))))
(/.f64 (.f64 (pow.f64 (cbrt.f64 (+.f64 1 (.f64 (.f64 x x) (+.f64 (.f64 (.f64 x x) 5/24) -1/2)))) 2) (cbrt.f64 (-.f64 1 (pow.f64 (.f64 (.f64 x x) (+.f64 (.f64 (.f64 x x) 5/24) -1/2)) 2)))) (cbrt.f64 (-.f64 1 (.f64 (.f64 x x) (+.f64 (.f64 (*.f64 x x) 5/24) -1/2)))))
(/.f64 (.f64 (pow.f64 (cbrt.f64 (+.f64 1 (.f64 (.f64 x x) (+.f64 (.f64 (.f64 x x) 5/24) -1/2)))) 2) (cbrt.f64 (+.f64 1 (pow.f64 (.f64 (.f64 x x) (+.f64 (.f64 (.f64 x x) 5/24) -1/2)) 3)))) (cbrt.f64 (-.f64 (+.f64 1 (pow.f64 (.f64 (.f64 x x) (+.f64 (.f64 (.f64 x x) 5/24) -1/2)) 2)) (.f64 (.f64 x x) (+.f64 (.f64 (*.f64 x x) 5/24) -1/2)))))
(/.f64 (.f64 (-.f64 (pow.f64 (.f64 (.f64 x x) (+.f64 (.f64 (.f64 x x) 5/24) -1/2)) 2) 1) 1) (-.f64 (.f64 (.f64 x x) (+.f64 (.f64 (*.f64 x x) 5/24) -1/2)) 1))
(/.f64 (.f64 (neg.f64 (-.f64 1 (pow.f64 (.f64 (.f64 x x) (+.f64 (.f64 (.f64 x x) 5/24) -1/2)) 2))) 1) (neg.f64 (-.f64 1 (.f64 (.f64 x x) (+.f64 (.f64 (*.f64 x x) 5/24) -1/2)))))
(/.f64 (.f64 (neg.f64 (+.f64 1 (pow.f64 (.f64 (.f64 x x) (+.f64 (.f64 (.f64 x x) 5/24) -1/2)) 3))) 1) (neg.f64 (-.f64 (+.f64 1 (pow.f64 (.f64 (.f64 x x) (+.f64 (.f64 (.f64 x x) 5/24) -1/2)) 2)) (.f64 (.f64 x x) (+.f64 (.f64 (*.f64 x x) 5/24) -1/2)))))
(/.f64 (.f64 (sqrt.f64 (-.f64 1 (pow.f64 (.f64 (.f64 x x) (+.f64 (.f64 (.f64 x x) 5/24) -1/2)) 2))) (hypot.f64 1 (.f64 x (sqrt.f64 (+.f64 (.f64 (.f64 x x) 5/24) -1/2))))) (sqrt.f64 (-.f64 1 (.f64 (.f64 x x) (+.f64 (.f64 (.f64 x x) 5/24) -1/2)))))
(/.f64 (.f64 (sqrt.f64 (+.f64 1 (pow.f64 (.f64 (.f64 x x) (+.f64 (.f64 (.f64 x x) 5/24) -1/2)) 3))) (hypot.f64 1 (.f64 x (sqrt.f64 (+.f64 (.f64 (.f64 x x) 5/24) -1/2))))) (sqrt.f64 (-.f64 (+.f64 1 (pow.f64 (.f64 (.f64 x x) (+.f64 (.f64 (.f64 x x) 5/24) -1/2)) 2)) (.f64 (.f64 x x) (+.f64 (.f64 (.f64 x x) 5/24) -1/2)))))
(/.f64 (.f64 (cbrt.f64 (-.f64 1 (pow.f64 (.f64 (.f64 x x) (+.f64 (.f64 (.f64 x x) 5/24) -1/2)) 2))) (pow.f64 (cbrt.f64 (+.f64 1 (.f64 (.f64 x x) (+.f64 (.f64 (.f64 x x) 5/24) -1/2)))) 2)) (cbrt.f64 (-.f64 1 (.f64 (.f64 x x) (+.f64 (.f64 (*.f64 x x) 5/24) -1/2)))))
(/.f64 (.f64 (cbrt.f64 (+.f64 1 (pow.f64 (.f64 (.f64 x x) (+.f64 (.f64 (.f64 x x) 5/24) -1/2)) 3))) (pow.f64 (cbrt.f64 (+.f64 1 (.f64 (.f64 x x) (+.f64 (.f64 (.f64 x x) 5/24) -1/2)))) 2)) (cbrt.f64 (-.f64 (+.f64 1 (pow.f64 (.f64 (.f64 x x) (+.f64 (.f64 (.f64 x x) 5/24) -1/2)) 2)) (.f64 (.f64 x x) (+.f64 (.f64 (*.f64 x x) 5/24) -1/2)))))
(/.f64 (.f64 (-.f64 1 (.f64 (pow.f64 (.f64 (.f64 x x) (+.f64 (.f64 (.f64 x x) 5/24) -1/2)) 2) (pow.f64 (.f64 (.f64 x x) (+.f64 (.f64 (.f64 x x) 5/24) -1/2)) 2))) (/.f64 1 (-.f64 1 (.f64 (.f64 x x) (+.f64 (.f64 (.f64 x x) 5/24) -1/2))))) (+.f64 1 (pow.f64 (.f64 (.f64 x x) (+.f64 (.f64 (.f64 x x) 5/24) -1/2)) 2)))
(/.f64 (.f64 (-.f64 1 (pow.f64 (pow.f64 (.f64 (.f64 x x) (+.f64 (.f64 (.f64 x x) 5/24) -1/2)) 2) 3)) (/.f64 1 (-.f64 1 (.f64 (.f64 x x) (+.f64 (.f64 (.f64 x x) 5/24) -1/2))))) (+.f64 1 (+.f64 (pow.f64 (.f64 (.f64 x x) (+.f64 (.f64 (.f64 x x) 5/24) -1/2)) 2) (.f64 (pow.f64 (.f64 (.f64 x x) (+.f64 (.f64 (.f64 x x) 5/24) -1/2)) 2) (pow.f64 (.f64 (.f64 x x) (+.f64 (.f64 (.f64 x x) 5/24) -1/2)) 2)))))
(/.f64 (.f64 (-.f64 1 (.f64 (pow.f64 (.f64 (.f64 x x) (+.f64 (.f64 (.f64 x x) 5/24) -1/2)) 3) (pow.f64 (.f64 (.f64 x x) (+.f64 (.f64 (.f64 x x) 5/24) -1/2)) 3))) (/.f64 1 (-.f64 (+.f64 1 (pow.f64 (.f64 (.f64 x x) (+.f64 (.f64 (.f64 x x) 5/24) -1/2)) 2)) (.f64 (.f64 x x) (+.f64 (.f64 (.f64 x x) 5/24) -1/2))))) (-.f64 1 (pow.f64 (.f64 (.f64 x x) (+.f64 (.f64 (.f64 x x) 5/24) -1/2)) 3)))
(/.f64 (.f64 (+.f64 1 (pow.f64 (pow.f64 (.f64 (.f64 x x) (+.f64 (.f64 (.f64 x x) 5/24) -1/2)) 3) 3)) (/.f64 1 (-.f64 (+.f64 1 (pow.f64 (.f64 (.f64 x x) (+.f64 (.f64 (.f64 x x) 5/24) -1/2)) 2)) (.f64 (.f64 x x) (+.f64 (.f64 (.f64 x x) 5/24) -1/2))))) (+.f64 1 (-.f64 (.f64 (pow.f64 (.f64 (.f64 x x) (+.f64 (.f64 (.f64 x x) 5/24) -1/2)) 3) (pow.f64 (.f64 (.f64 x x) (+.f64 (.f64 (.f64 x x) 5/24) -1/2)) 3)) (pow.f64 (.f64 (.f64 x x) (+.f64 (.f64 (.f64 x x) 5/24) -1/2)) 3))))
(/.f64 (/.f64 (-.f64 1 (pow.f64 (.f64 (.f64 x x) (+.f64 (.f64 (.f64 x x) 5/24) -1/2)) 2)) 1) (-.f64 1 (.f64 (.f64 x x) (+.f64 (.f64 (.f64 x x) 5/24) -1/2))))
(/.f64 (/.f64 (-.f64 1 (pow.f64 (.f64 (.f64 x x) (+.f64 (.f64 (.f64 x x) 5/24) -1/2)) 2)) (sqrt.f64 (-.f64 1 (.f64 (.f64 x x) (+.f64 (.f64 (.f64 x x) 5/24) -1/2))))) (sqrt.f64 (-.f64 1 (.f64 (.f64 x x) (+.f64 (.f64 (.f64 x x) 5/24) -1/2)))))
(/.f64 (/.f64 (-.f64 1 (pow.f64 (.f64 (.f64 x x) (+.f64 (.f64 (.f64 x x) 5/24) -1/2)) 2)) (.f64 (cbrt.f64 (-.f64 1 (.f64 (.f64 x x) (+.f64 (.f64 (.f64 x x) 5/24) -1/2)))) (cbrt.f64 (-.f64 1 (.f64 (.f64 x x) (+.f64 (.f64 (.f64 x x) 5/24) -1/2)))))) (cbrt.f64 (-.f64 1 (.f64 (.f64 x x) (+.f64 (.f64 (*.f64 x x) 5/24) -1/2)))))
(/.f64 (/.f64 (+.f64 1 (pow.f64 (.f64 (.f64 x x) (+.f64 (.f64 (.f64 x x) 5/24) -1/2)) 3)) 1) (-.f64 (+.f64 1 (pow.f64 (.f64 (.f64 x x) (+.f64 (.f64 (.f64 x x) 5/24) -1/2)) 2)) (.f64 (.f64 x x) (+.f64 (.f64 (.f64 x x) 5/24) -1/2))))
(/.f64 (/.f64 (+.f64 1 (pow.f64 (.f64 (.f64 x x) (+.f64 (.f64 (.f64 x x) 5/24) -1/2)) 3)) (sqrt.f64 (-.f64 (+.f64 1 (pow.f64 (.f64 (.f64 x x) (+.f64 (.f64 (.f64 x x) 5/24) -1/2)) 2)) (.f64 (.f64 x x) (+.f64 (.f64 (.f64 x x) 5/24) -1/2))))) (sqrt.f64 (-.f64 (+.f64 1 (pow.f64 (.f64 (.f64 x x) (+.f64 (.f64 (.f64 x x) 5/24) -1/2)) 2)) (.f64 (.f64 x x) (+.f64 (.f64 (.f64 x x) 5/24) -1/2)))))
(/.f64 (/.f64 (+.f64 1 (pow.f64 (.f64 (.f64 x x) (+.f64 (.f64 (.f64 x x) 5/24) -1/2)) 3)) (.f64 (cbrt.f64 (-.f64 (+.f64 1 (pow.f64 (.f64 (.f64 x x) (+.f64 (.f64 (.f64 x x) 5/24) -1/2)) 2)) (.f64 (.f64 x x) (+.f64 (.f64 (.f64 x x) 5/24) -1/2)))) (cbrt.f64 (-.f64 (+.f64 1 (pow.f64 (.f64 (.f64 x x) (+.f64 (.f64 (.f64 x x) 5/24) -1/2)) 2)) (.f64 (.f64 x x) (+.f64 (.f64 (.f64 x x) 5/24) -1/2)))))) (cbrt.f64 (-.f64 (+.f64 1 (pow.f64 (.f64 (.f64 x x) (+.f64 (.f64 (.f64 x x) 5/24) -1/2)) 2)) (.f64 (.f64 x x) (+.f64 (.f64 (*.f64 x x) 5/24) -1/2)))))
(pow.f64 (+.f64 1 (.f64 (.f64 x x) (+.f64 (.f64 (.f64 x x) 5/24) -1/2))) 1)
(pow.f64 (hypot.f64 1 (.f64 x (sqrt.f64 (+.f64 (.f64 (*.f64 x x) 5/24) -1/2)))) 2)
(pow.f64 (cbrt.f64 (+.f64 1 (.f64 (.f64 x x) (+.f64 (.f64 (.f64 x x) 5/24) -1/2)))) 3)
(pow.f64 (pow.f64 (+.f64 1 (.f64 (.f64 x x) (+.f64 (.f64 (.f64 x x) 5/24) -1/2))) 3) 1/3)
(sqrt.f64 (pow.f64 (+.f64 1 (.f64 (.f64 x x) (+.f64 (.f64 (.f64 x x) 5/24) -1/2))) 2))
(log.f64 (exp.f64 (+.f64 1 (.f64 (.f64 x x) (+.f64 (.f64 (.f64 x x) 5/24) -1/2)))))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 1 (.f64 (.f64 x x) (+.f64 (.f64 (.f64 x x) 5/24) -1/2))))))
(cbrt.f64 (pow.f64 (+.f64 1 (.f64 (.f64 x x) (+.f64 (.f64 (.f64 x x) 5/24) -1/2))) 3))
(expm1.f64 (log1p.f64 (+.f64 1 (.f64 (.f64 x x) (+.f64 (.f64 (.f64 x x) 5/24) -1/2)))))
(exp.f64 (log1p.f64 (.f64 (.f64 x x) (+.f64 (.f64 (.f64 x x) 5/24) -1/2))))
(log1p.f64 (expm1.f64 (+.f64 1 (.f64 (.f64 x x) (+.f64 (.f64 (.f64 x x) 5/24) -1/2)))))
(fma.f64 x (.f64 x (+.f64 (.f64 (*.f64 x x) 5/24) -1/2)) 1)
(fma.f64 (.f64 x x) (+.f64 (.f64 (*.f64 x x) 5/24) -1/2) 1)
(fma.f64 (+.f64 (.f64 (.f64 x x) 5/24) -1/2) (*.f64 x x) 1)
(fma.f64 1 (.f64 (.f64 x x) (+.f64 (.f64 (.f64 x x) 5/24) -1/2)) 1)
(fma.f64 (.f64 x (sqrt.f64 (+.f64 (.f64 (.f64 x x) 5/24) -1/2))) (.f64 x (sqrt.f64 (+.f64 (.f64 (.f64 x x) 5/24) -1/2))) 1)
(fma.f64 (pow.f64 (cbrt.f64 (.f64 (.f64 x x) (+.f64 (.f64 (.f64 x x) 5/24) -1/2))) 2) (cbrt.f64 (.f64 (.f64 x x) (+.f64 (.f64 (.f64 x x) 5/24) -1/2))) 1)

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 x (.f64 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 x (.f64 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 x (.f64 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 x (.f64 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 x (.f64 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 x (.f64 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)))
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(fma.f64 5/24 (pow.f64 x 4) (fma.f64 x (*.f64 x -1/2) 1))
(fma.f64 (.f64 x x) (+.f64 (.f64 (*.f64 x x) 5/24) -1/2) 1)
(+.f64 (fma.f64 5/24 (pow.f64 x 4) (.f64 x (.f64 x -1/2))) 1)
(fma.f64 5/24 (pow.f64 x 4) (fma.f64 x (*.f64 x -1/2) 1))
(fma.f64 (+.f64 (.f64 (.f64 x x) 5/24) -1/2) (*.f64 x x) 1)
(+.f64 (fma.f64 5/24 (pow.f64 x 4) (.f64 x (.f64 x -1/2))) 1)
(fma.f64 5/24 (pow.f64 x 4) (fma.f64 x (*.f64 x -1/2) 1))
(fma.f64 1 (.f64 (.f64 x x) (+.f64 (.f64 (.f64 x x) 5/24) -1/2)) 1)
(+.f64 (fma.f64 5/24 (pow.f64 x 4) (.f64 x (.f64 x -1/2))) 1)
(fma.f64 5/24 (pow.f64 x 4) (fma.f64 x (*.f64 x -1/2) 1))
(fma.f64 (.f64 x (sqrt.f64 (+.f64 (.f64 (.f64 x x) 5/24) -1/2))) (.f64 x (sqrt.f64 (+.f64 (.f64 (.f64 x x) 5/24) -1/2))) 1)
(+.f64 (fma.f64 5/24 (pow.f64 x 4) (.f64 x (.f64 x -1/2))) 1)
(fma.f64 5/24 (pow.f64 x 4) (fma.f64 x (*.f64 x -1/2) 1))
(fma.f64 (pow.f64 (cbrt.f64 (.f64 (.f64 x x) (+.f64 (.f64 (.f64 x x) 5/24) -1/2))) 2) (cbrt.f64 (.f64 (.f64 x x) (+.f64 (.f64 (.f64 x x) 5/24) -1/2))) 1)
(+.f64 (fma.f64 5/24 (pow.f64 x 4) (.f64 x (.f64 x -1/2))) 1)
(fma.f64 5/24 (pow.f64 x 4) (fma.f64 x (*.f64 x -1/2) 1))

localize9.0ms (0.2%)

Local error

Found 3 expressions with local error:

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

Compiler

Compiled 23 to 15 computations (34.8% saved)

series0.0ms (0%)

Counts

1 → 12

Calls

3 calls:

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

rewrite63.0ms (1.2%)

Algorithm

1×	batch-egg-rewrite

Rules

1978×	`add-sqr-sqrt`
1956×	`*-un-lft-identity`
1834×	`add-cube-cbrt`
1818×	`add-cbrt-cube`
204×	`pow1`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	9	23
1	201	11
2	2746	11

Stop Event

1×	node limit

Counts

1 → 50

Calls

Call 1

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

Outputs

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

simplify83.0ms (1.6%)

Algorithm

1×	egg-herbie

Rules

1750×	`associate-/r/`
986×	`fma-def`
952×	`associate-r`
858×	`associate-l`
542×	`associate-+r+`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	143	2176
1	353	2058
2	1180	1506
3	6664	1496

Stop Event

1×	node limit

Counts

62 → 77

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 1 (+.f64 (/.f64 1 (cosh.f64 x)) -1))
(+.f64 1 (*.f64 (+.f64 (/.f64 1 (cosh.f64 x)) -1) 1))
(+.f64 (/.f64 1 (cosh.f64 x)) 0)
(+.f64 (+.f64 1 (/.f64 1 (cosh.f64 x))) -1)
(+.f64 (+.f64 (/.f64 1 (cosh.f64 x)) -1) 1)
(+.f64 -1 (+.f64 1 (/.f64 1 (cosh.f64 x))))
(*.f64 1 (/.f64 1 (cosh.f64 x)))
(*.f64 (/.f64 1 (cosh.f64 x)) 1)
(*.f64 (pow.f64 (cosh.f64 x) -1/2) (pow.f64 (cosh.f64 x) -1/2))
(*.f64 (/.f64 1 (cbrt.f64 (cosh.f64 x))) (cbrt.f64 (pow.f64 (cosh.f64 x) -2)))
(*.f64 (cbrt.f64 (pow.f64 (cosh.f64 x) -2)) (/.f64 1 (cbrt.f64 (cosh.f64 x))))
(*.f64 (+.f64 (pow.f64 (+.f64 1 (/.f64 1 (cosh.f64 x))) 2) -1) (/.f64 1 (+.f64 (/.f64 1 (cosh.f64 x)) 2)))
(*.f64 -1 (/.f64 1 (neg.f64 (cosh.f64 x))))
(*.f64 (+.f64 (pow.f64 (+.f64 1 (/.f64 1 (cosh.f64 x))) 3) -1) (/.f64 1 (+.f64 (pow.f64 (+.f64 1 (/.f64 1 (cosh.f64 x))) 2) (+.f64 (/.f64 1 (cosh.f64 x)) 2))))
(.f64 (/.f64 1 (.f64 2 (cosh.f64 x))) 2)
(*.f64 (+.f64 (hypot.f64 1 (pow.f64 (cosh.f64 x) -1/2)) 1) (-.f64 (hypot.f64 1 (pow.f64 (cosh.f64 x) -1/2)) 1))
(*.f64 (pow.f64 (sqrt.f64 (cosh.f64 x)) -1) (pow.f64 (sqrt.f64 (cosh.f64 x)) -1))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cosh.f64 x)) 2) -1) (pow.f64 (cbrt.f64 (cosh.f64 x)) -1))
(/.f64 1 (cosh.f64 x))
(/.f64 1 (/.f64 (+.f64 (/.f64 1 (cosh.f64 x)) 2) (+.f64 (pow.f64 (+.f64 1 (/.f64 1 (cosh.f64 x))) 2) -1)))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (+.f64 1 (/.f64 1 (cosh.f64 x))) 2) (+.f64 (/.f64 1 (cosh.f64 x)) 2)) (+.f64 (pow.f64 (+.f64 1 (/.f64 1 (cosh.f64 x))) 3) -1)))
(/.f64 1 (neg.f64 (neg.f64 (cosh.f64 x))))
(/.f64 (pow.f64 (cosh.f64 x) -1/2) (sqrt.f64 (cosh.f64 x)))
(/.f64 (+.f64 (pow.f64 (+.f64 1 (/.f64 1 (cosh.f64 x))) 2) -1) (+.f64 (/.f64 1 (cosh.f64 x)) 2))
(/.f64 (+.f64 (pow.f64 (+.f64 1 (/.f64 1 (cosh.f64 x))) 2) -1) (-.f64 (+.f64 1 (/.f64 1 (cosh.f64 x))) -1))
(/.f64 -1 (neg.f64 (cosh.f64 x)))
(/.f64 (+.f64 (pow.f64 (+.f64 1 (/.f64 1 (cosh.f64 x))) 3) -1) (+.f64 (pow.f64 (+.f64 1 (/.f64 1 (cosh.f64 x))) 2) (+.f64 (/.f64 1 (cosh.f64 x)) 2)))
(/.f64 (+.f64 (pow.f64 (+.f64 1 (/.f64 1 (cosh.f64 x))) 3) -1) (+.f64 (pow.f64 (+.f64 1 (/.f64 1 (cosh.f64 x))) 2) (-.f64 1 (*.f64 (+.f64 1 (/.f64 1 (cosh.f64 x))) -1))))
(/.f64 (/.f64 1 (pow.f64 (cbrt.f64 (cosh.f64 x)) 2)) (cbrt.f64 (cosh.f64 x)))
(/.f64 (-.f64 1 (*.f64 (+.f64 (/.f64 1 (cosh.f64 x)) -1) (+.f64 (/.f64 1 (cosh.f64 x)) -1))) (-.f64 1 (+.f64 (/.f64 1 (cosh.f64 x)) -1)))
(/.f64 (+.f64 1 (pow.f64 (+.f64 (/.f64 1 (cosh.f64 x)) -1) 3)) (+.f64 1 (-.f64 (*.f64 (+.f64 (/.f64 1 (cosh.f64 x)) -1) (+.f64 (/.f64 1 (cosh.f64 x)) -1)) (+.f64 (/.f64 1 (cosh.f64 x)) -1))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 1 (/.f64 1 (cosh.f64 x))) 2) -1)) (neg.f64 (+.f64 (/.f64 1 (cosh.f64 x)) 2)))
(/.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 1 (/.f64 1 (cosh.f64 x))) 3) -1)) (neg.f64 (+.f64 (pow.f64 (+.f64 1 (/.f64 1 (cosh.f64 x))) 2) (+.f64 (/.f64 1 (cosh.f64 x)) 2))))
(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 (/.f64 1 (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 (/.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))))
(fma.f64 1 (+.f64 1 (/.f64 1 (cosh.f64 x))) -1)
(fma.f64 (hypot.f64 1 (pow.f64 (cosh.f64 x) -1/2)) (hypot.f64 1 (pow.f64 (cosh.f64 x) -1/2)) -1)
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 1 (cosh.f64 x)))) 2) (cbrt.f64 (+.f64 1 (/.f64 1 (cosh.f64 x)))) -1)

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

localize4.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.7b	(/.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))

rewrite48.0ms (0.9%)

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))))))))

simplify43.0ms (0.8%)

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))

localize4.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 11 to 7 computations (36.4% saved)

series0.0ms (0%)

Counts

1 → 12

Calls

3 calls:

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

rewrite51.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

1 → 36

Calls

Call 1

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

Outputs

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

simplify51.0ms (1%)

Algorithm

1×	egg-herbie

Rules

1522×	`associate-+r+`
1368×	`associate-+l+`
844×	`distribute-lft-in`
740×	`associate-*r/`
512×	`associate-/l*`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	97	744
1	253	726
2	883	726
3	3763	726

Stop Event

1×	node limit

Counts

48 → 43

Calls

Call 1

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

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

eval511.0ms (9.7%)

Compiler: Compiled 14582 to 9835 computations (32.6% saved)

prune111.0ms (2.1%)

Pruning

11 alts after pruning (4 fresh and 7 done)

	Pruned	Kept	Total
New	575	3	578
Fresh	0	1	1
Picked	0	1	1
Done	0	6	6
Total	575	11	586

Error

Counts

586 → 11

Alt Table

Click to see full alt table

Status	Error	Program
✓	50.9b	(/.f64 (/.f64 2 x) x)
✓	15.8b	(/.f64 2 (+.f64 2 (*.f64 x x)))
✓	50.3b	(/.f64 2 (*.f64 x x))
✓	0.0b	(/.f64 1 (cosh.f64 x))
▶	34.8b	(-.f64 (+.f64 1 (/.f64 (/.f64 2 x) x)) 1)
▶	0.2b	(-.f64 (+.f64 1 (/.f64 1 (+.f64 1 (.f64 (.f64 x x) 1/2)))) 1)
✓	0.0b	(-.f64 (+.f64 1 (/.f64 1 (cosh.f64 x))) 1)
✓	28.3b	(+.f64 1 (.f64 (.f64 x x) (+.f64 (.f64 (.f64 x x) 5/24) -1/2)))
✓	28.1b	(+.f64 1 (.f64 -1/2 (.f64 x x)))
▶	50.9b	(*.f64 (/.f64 2 x) (/.f64 1 x))
	27.7b	1

Compiler

Compiled 90 to 69 computations (23.3% saved)

localize7.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 17 to 12 computations (29.4% saved)

series0.0ms (0%)

Counts

1 → 12

Calls

3 calls:

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

rewrite54.0ms (1%)

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

simplify52.0ms (1%)

Algorithm

1×	egg-herbie

Rules

1214×	`associate-r`
1074×	`associate-l`
876×	`associate-+r+`
832×	`associate-+l+`
728×	`associate-*r/`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	93	628
1	209	628
2	738	628
3	5243	628

Stop Event

1×	node limit

Counts

48 → 37

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

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

localize19.0ms (0.4%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 1 (.f64 (.f64 x x) 1/2))
✓	0.2b	(.f64 (.f64 x x) 1/2)
✓	0.4b	(/.f64 1 (+.f64 1 (.f64 (.f64 x x) 1/2)))
✓	1.0b	(-.f64 (+.f64 1 (/.f64 1 (+.f64 1 (.f64 (.f64 x x) 1/2)))) 1)

Compiler

Compiled 52 to 34 computations (34.6% saved)

series2.0ms (0%)

Counts

4 → 48

Calls

12 calls:

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

rewrite116.0ms (2.2%)

Algorithm

1×	batch-egg-rewrite

Rules

1540×	`associate-*r/`
1070×	`associate-*l/`
960×	`*-commutative`
494×	`associate-/r*`
406×	`associate-+l+`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	11	106
1	250	70
2	3447	70

Stop Event

1×	node limit

Counts

4 → 310

Calls

Call 1

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

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

simplify228.0ms (4.4%)

Algorithm

1×	egg-herbie

Rules

766×	`+-commutative`
736×	`associate-+l-`
668×	`associate-+r-`
482×	`associate-/l*`
468×	`associate--r+`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	631	16988
1	1574	16200
2	5725	16106

Stop Event

1×	node limit

Counts

358 → 428

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)))))
1
(+.f64 1 (*.f64 -1/2 (pow.f64 x 2)))
(+.f64 1 (+.f64 (.f64 1/4 (pow.f64 x 4)) (.f64 -1/2 (pow.f64 x 2))))
(+.f64 1 (+.f64 (.f64 1/4 (pow.f64 x 4)) (+.f64 (.f64 -1/2 (pow.f64 x 2)) (*.f64 -1/8 (pow.f64 x 6)))))
(/.f64 2 (pow.f64 x 2))
(-.f64 (.f64 2 (/.f64 1 (pow.f64 x 2))) (.f64 4 (/.f64 1 (pow.f64 x 4))))
(-.f64 (+.f64 (.f64 8 (/.f64 1 (pow.f64 x 6))) (.f64 2 (/.f64 1 (pow.f64 x 2)))) (*.f64 4 (/.f64 1 (pow.f64 x 4))))
(-.f64 (+.f64 (.f64 8 (/.f64 1 (pow.f64 x 6))) (.f64 2 (/.f64 1 (pow.f64 x 2)))) (+.f64 (.f64 4 (/.f64 1 (pow.f64 x 4))) (.f64 16 (/.f64 1 (pow.f64 x 8)))))
(/.f64 2 (pow.f64 x 2))
(-.f64 (.f64 2 (/.f64 1 (pow.f64 x 2))) (.f64 4 (/.f64 1 (pow.f64 x 4))))
(-.f64 (+.f64 (.f64 8 (/.f64 1 (pow.f64 x 6))) (.f64 2 (/.f64 1 (pow.f64 x 2)))) (*.f64 4 (/.f64 1 (pow.f64 x 4))))
(-.f64 (+.f64 (.f64 8 (/.f64 1 (pow.f64 x 6))) (.f64 2 (/.f64 1 (pow.f64 x 2)))) (+.f64 (.f64 4 (/.f64 1 (pow.f64 x 4))) (.f64 16 (/.f64 1 (pow.f64 x 8)))))
(*.f64 1/2 (pow.f64 x 2))
(*.f64 1/2 (pow.f64 x 2))
(*.f64 1/2 (pow.f64 x 2))
(*.f64 1/2 (pow.f64 x 2))
(*.f64 1/2 (pow.f64 x 2))
(*.f64 1/2 (pow.f64 x 2))
(*.f64 1/2 (pow.f64 x 2))
(*.f64 1/2 (pow.f64 x 2))
(*.f64 1/2 (pow.f64 x 2))
(*.f64 1/2 (pow.f64 x 2))
(*.f64 1/2 (pow.f64 x 2))
(*.f64 1/2 (pow.f64 x 2))
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 1 (expm1.f64 (neg.f64 (log1p.f64 (.f64 (.f64 x x) 1/2)))))
(+.f64 (/.f64 1 (+.f64 1 (.f64 (.f64 x x) 1/2))) 0)
(+.f64 (+.f64 1 (/.f64 1 (+.f64 1 (.f64 (.f64 x x) 1/2)))) -1)
(+.f64 0 (/.f64 1 (+.f64 1 (.f64 (.f64 x x) 1/2))))
(+.f64 (expm1.f64 (neg.f64 (log1p.f64 (.f64 (.f64 x x) 1/2)))) 1)
(+.f64 -1 (+.f64 1 (/.f64 1 (+.f64 1 (.f64 (.f64 x x) 1/2)))))
(.f64 1 (/.f64 1 (+.f64 1 (.f64 (*.f64 x x) 1/2))))
(.f64 (/.f64 1 (+.f64 1 (.f64 (*.f64 x x) 1/2))) 1)
(.f64 (pow.f64 (+.f64 1 (.f64 (.f64 x x) 1/2)) -1/2) (pow.f64 (+.f64 1 (.f64 (*.f64 x x) 1/2)) -1/2))
(.f64 (/.f64 1 (cbrt.f64 (+.f64 1 (.f64 (.f64 x x) 1/2)))) (cbrt.f64 (pow.f64 (+.f64 1 (.f64 (*.f64 x x) 1/2)) -2)))
(.f64 (cbrt.f64 (pow.f64 (+.f64 1 (.f64 (.f64 x x) 1/2)) -2)) (/.f64 1 (cbrt.f64 (+.f64 1 (.f64 (*.f64 x x) 1/2)))))
(.f64 (+.f64 1 (.f64 (.f64 x x) -1/2)) (/.f64 1 (-.f64 1 (.f64 (pow.f64 x 4) 1/4))))
(.f64 (+.f64 (pow.f64 (+.f64 1 (/.f64 1 (+.f64 1 (.f64 (.f64 x x) 1/2)))) 2) -1) (/.f64 1 (+.f64 (/.f64 1 (+.f64 1 (.f64 (*.f64 x x) 1/2))) 2)))
(.f64 -1 (/.f64 -1 (+.f64 1 (.f64 (*.f64 x x) 1/2))))
(.f64 (+.f64 1 (+.f64 (.f64 (pow.f64 x 4) 1/4) (.f64 (.f64 x x) -1/2))) (/.f64 1 (+.f64 1 (.f64 (pow.f64 (.f64 x x) 3) 1/8))))
(.f64 (+.f64 -1 (pow.f64 (+.f64 1 (/.f64 1 (+.f64 1 (.f64 (.f64 x x) 1/2)))) 3)) (/.f64 1 (+.f64 (/.f64 1 (+.f64 1 (.f64 (.f64 x x) 1/2))) (+.f64 2 (pow.f64 (+.f64 1 (/.f64 1 (+.f64 1 (.f64 (*.f64 x x) 1/2)))) 2)))))
(.f64 (/.f64 -1 (+.f64 1 (.f64 (*.f64 x x) 1/2))) -1)
(.f64 (/.f64 1 (-.f64 1 (.f64 (pow.f64 x 4) 1/4))) (+.f64 1 (.f64 (.f64 x x) -1/2)))
(.f64 (/.f64 1 (+.f64 1 (.f64 (pow.f64 (.f64 x x) 3) 1/8))) (+.f64 1 (+.f64 (.f64 (pow.f64 x 4) 1/4) (.f64 (.f64 x x) -1/2))))
(.f64 (+.f64 1 (hypot.f64 1 (pow.f64 (+.f64 1 (.f64 (.f64 x x) 1/2)) -1/2))) (-.f64 (hypot.f64 1 (pow.f64 (+.f64 1 (.f64 (*.f64 x x) 1/2)) -1/2)) 1))
(.f64 (-.f64 (hypot.f64 1 (pow.f64 (+.f64 1 (.f64 (.f64 x x) 1/2)) -1/2)) 1) (+.f64 1 (hypot.f64 1 (pow.f64 (+.f64 1 (.f64 (*.f64 x x) 1/2)) -1/2))))
(.f64 (/.f64 1 (+.f64 (/.f64 1 (+.f64 1 (.f64 (.f64 x x) 1/2))) 2)) (+.f64 (pow.f64 (+.f64 1 (/.f64 1 (+.f64 1 (.f64 (*.f64 x x) 1/2)))) 2) -1))
(.f64 (/.f64 1 (+.f64 (/.f64 1 (+.f64 1 (.f64 (.f64 x x) 1/2))) (+.f64 2 (pow.f64 (+.f64 1 (/.f64 1 (+.f64 1 (.f64 (.f64 x x) 1/2)))) 2)))) (+.f64 -1 (pow.f64 (+.f64 1 (/.f64 1 (+.f64 1 (.f64 (*.f64 x x) 1/2)))) 3)))
(.f64 (pow.f64 (hypot.f64 1 (.f64 x (sqrt.f64 1/2))) -1) (pow.f64 (hypot.f64 1 (*.f64 x (sqrt.f64 1/2))) -1))
(.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 1 (.f64 (.f64 x x) 1/2))) 2) -1) (pow.f64 (cbrt.f64 (+.f64 1 (.f64 (*.f64 x x) 1/2))) -1))
(.f64 (pow.f64 (cbrt.f64 (+.f64 1 (.f64 (.f64 x x) 1/2))) -1) (pow.f64 (pow.f64 (cbrt.f64 (+.f64 1 (.f64 (*.f64 x x) 1/2))) 2) -1))
(/.f64 1 (+.f64 1 (.f64 (.f64 x x) 1/2)))
(/.f64 1 (neg.f64 (-.f64 -1 (.f64 (.f64 x x) 1/2))))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (+.f64 1 (/.f64 1 (+.f64 1 (.f64 (.f64 x x) 1/2)))) 2) (-.f64 1 (.f64 (+.f64 1 (/.f64 1 (+.f64 1 (.f64 (.f64 x x) 1/2)))) -1))) (+.f64 -1 (pow.f64 (+.f64 1 (/.f64 1 (+.f64 1 (.f64 (*.f64 x x) 1/2)))) 3))))
(/.f64 (/.f64 1 (+.f64 1 (.f64 (.f64 x x) 1/2))) 1)
(/.f64 (pow.f64 (+.f64 1 (.f64 (.f64 x x) 1/2)) -1/2) (hypot.f64 1 (*.f64 x (sqrt.f64 1/2))))
(/.f64 (/.f64 1 (cbrt.f64 (+.f64 1 (.f64 (.f64 x x) 1/2)))) (pow.f64 (cbrt.f64 (+.f64 1 (.f64 (.f64 x x) 1/2))) 2))
(/.f64 (/.f64 1 (cbrt.f64 (+.f64 1 (.f64 (.f64 x x) 1/2)))) (/.f64 (hypot.f64 1 (.f64 x (sqrt.f64 1/2))) (cbrt.f64 (pow.f64 (+.f64 1 (.f64 (*.f64 x x) 1/2)) -1/2))))
(/.f64 (cbrt.f64 (pow.f64 (+.f64 1 (.f64 (.f64 x x) 1/2)) -2)) (cbrt.f64 (+.f64 1 (.f64 (.f64 x x) 1/2))))
(/.f64 (+.f64 1 (.f64 (.f64 x x) -1/2)) (-.f64 1 (*.f64 (pow.f64 x 4) 1/4)))
(/.f64 (+.f64 (pow.f64 (+.f64 1 (/.f64 1 (+.f64 1 (.f64 (.f64 x x) 1/2)))) 2) -1) (+.f64 (/.f64 1 (+.f64 1 (.f64 (.f64 x x) 1/2))) 2))
(/.f64 (+.f64 (/.f64 1 (+.f64 1 (.f64 (.f64 x x) 1/2))) 2) (/.f64 (+.f64 (/.f64 1 (+.f64 1 (.f64 (.f64 x x) 1/2))) 2) (/.f64 1 (+.f64 1 (.f64 (.f64 x x) 1/2)))))
(/.f64 -1 (-.f64 -1 (.f64 (.f64 x x) 1/2)))
(/.f64 (+.f64 1 (+.f64 (.f64 (pow.f64 x 4) 1/4) (.f64 (.f64 x x) -1/2))) (+.f64 1 (.f64 (pow.f64 (*.f64 x x) 3) 1/8)))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 1 (/.f64 1 (+.f64 1 (.f64 (.f64 x x) 1/2)))) 3)) (+.f64 (/.f64 1 (+.f64 1 (.f64 (.f64 x x) 1/2))) (+.f64 2 (pow.f64 (+.f64 1 (/.f64 1 (+.f64 1 (.f64 (.f64 x x) 1/2)))) 2))))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 1 (/.f64 1 (+.f64 1 (.f64 (.f64 x x) 1/2)))) 3)) (+.f64 (pow.f64 (+.f64 1 (/.f64 1 (+.f64 1 (.f64 (.f64 x x) 1/2)))) 2) (-.f64 1 (.f64 (+.f64 1 (/.f64 1 (+.f64 1 (.f64 (*.f64 x x) 1/2)))) -1))))
(/.f64 (sqrt.f64 (+.f64 -1 (pow.f64 (+.f64 1 (/.f64 1 (+.f64 1 (.f64 (.f64 x x) 1/2)))) 3))) (/.f64 (+.f64 (/.f64 1 (+.f64 1 (.f64 (.f64 x x) 1/2))) (+.f64 2 (pow.f64 (+.f64 1 (/.f64 1 (+.f64 1 (.f64 (.f64 x x) 1/2)))) 2))) (sqrt.f64 (+.f64 -1 (pow.f64 (+.f64 1 (/.f64 1 (+.f64 1 (.f64 (.f64 x x) 1/2)))) 3)))))
(/.f64 (sqrt.f64 (+.f64 -1 (pow.f64 (+.f64 1 (/.f64 1 (+.f64 1 (.f64 (.f64 x x) 1/2)))) 3))) (/.f64 (+.f64 (pow.f64 (+.f64 1 (/.f64 1 (+.f64 1 (.f64 (.f64 x x) 1/2)))) 2) (-.f64 1 (.f64 (+.f64 1 (/.f64 1 (+.f64 1 (.f64 (.f64 x x) 1/2)))) -1))) (sqrt.f64 (+.f64 -1 (pow.f64 (+.f64 1 (/.f64 1 (+.f64 1 (.f64 (*.f64 x x) 1/2)))) 3)))))
(/.f64 (sqrt.f64 (pow.f64 (+.f64 1 (.f64 (.f64 x x) 1/2)) -1/2)) (/.f64 (hypot.f64 1 (.f64 x (sqrt.f64 1/2))) (sqrt.f64 (pow.f64 (+.f64 1 (.f64 (*.f64 x x) 1/2)) -1/2))))
(/.f64 (sqrt.f64 (+.f64 1 (+.f64 (.f64 (pow.f64 x 4) 1/4) (.f64 (.f64 x x) -1/2)))) (/.f64 (+.f64 1 (.f64 (pow.f64 (.f64 x x) 3) 1/8)) (sqrt.f64 (+.f64 1 (+.f64 (.f64 (pow.f64 x 4) 1/4) (.f64 (.f64 x x) -1/2))))))
(/.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (+.f64 1 (.f64 (.f64 x x) 1/2)) -2))) (/.f64 (hypot.f64 1 (.f64 x (sqrt.f64 1/2))) (sqrt.f64 (/.f64 1 (cbrt.f64 (+.f64 1 (.f64 (*.f64 x x) 1/2)))))))
(/.f64 (sqrt.f64 (+.f64 1 (.f64 (.f64 x x) -1/2))) (/.f64 (-.f64 1 (.f64 (pow.f64 x 4) 1/4)) (sqrt.f64 (+.f64 1 (.f64 (*.f64 x x) -1/2)))))
(/.f64 (sqrt.f64 (+.f64 (pow.f64 (+.f64 1 (/.f64 1 (+.f64 1 (.f64 (.f64 x x) 1/2)))) 2) -1)) (/.f64 (+.f64 (/.f64 1 (+.f64 1 (.f64 (.f64 x x) 1/2))) 2) (sqrt.f64 (+.f64 (pow.f64 (+.f64 1 (/.f64 1 (+.f64 1 (.f64 (.f64 x x) 1/2)))) 2) -1))))
(/.f64 (.f64 (cbrt.f64 (+.f64 -1 (pow.f64 (+.f64 1 (/.f64 1 (+.f64 1 (.f64 (.f64 x x) 1/2)))) 3))) (cbrt.f64 (+.f64 -1 (pow.f64 (+.f64 1 (/.f64 1 (+.f64 1 (.f64 (.f64 x x) 1/2)))) 3)))) (/.f64 (+.f64 (/.f64 1 (+.f64 1 (.f64 (.f64 x x) 1/2))) (+.f64 2 (pow.f64 (+.f64 1 (/.f64 1 (+.f64 1 (.f64 (.f64 x x) 1/2)))) 2))) (cbrt.f64 (+.f64 -1 (pow.f64 (+.f64 1 (/.f64 1 (+.f64 1 (.f64 (*.f64 x x) 1/2)))) 3)))))
(/.f64 (.f64 (cbrt.f64 (+.f64 -1 (pow.f64 (+.f64 1 (/.f64 1 (+.f64 1 (.f64 (.f64 x x) 1/2)))) 3))) (cbrt.f64 (+.f64 -1 (pow.f64 (+.f64 1 (/.f64 1 (+.f64 1 (.f64 (.f64 x x) 1/2)))) 3)))) (/.f64 (+.f64 (pow.f64 (+.f64 1 (/.f64 1 (+.f64 1 (.f64 (.f64 x x) 1/2)))) 2) (-.f64 1 (.f64 (+.f64 1 (/.f64 1 (+.f64 1 (.f64 (.f64 x x) 1/2)))) -1))) (cbrt.f64 (+.f64 -1 (pow.f64 (+.f64 1 (/.f64 1 (+.f64 1 (.f64 (.f64 x x) 1/2)))) 3)))))
(/.f64 (.f64 (cbrt.f64 (+.f64 1 (+.f64 (.f64 (pow.f64 x 4) 1/4) (.f64 (.f64 x x) -1/2)))) (cbrt.f64 (+.f64 1 (+.f64 (.f64 (pow.f64 x 4) 1/4) (.f64 (.f64 x x) -1/2))))) (/.f64 (+.f64 1 (.f64 (pow.f64 (.f64 x x) 3) 1/8)) (cbrt.f64 (+.f64 1 (+.f64 (.f64 (pow.f64 x 4) 1/4) (.f64 (.f64 x x) -1/2))))))
(/.f64 (.f64 (cbrt.f64 (+.f64 1 (.f64 (.f64 x x) -1/2))) (cbrt.f64 (+.f64 1 (.f64 (.f64 x x) -1/2)))) (/.f64 (-.f64 1 (.f64 (pow.f64 x 4) 1/4)) (cbrt.f64 (+.f64 1 (.f64 (.f64 x x) -1/2)))))
(/.f64 (.f64 (cbrt.f64 (+.f64 (pow.f64 (+.f64 1 (/.f64 1 (+.f64 1 (.f64 (.f64 x x) 1/2)))) 2) -1)) (cbrt.f64 (+.f64 (pow.f64 (+.f64 1 (/.f64 1 (+.f64 1 (.f64 (.f64 x x) 1/2)))) 2) -1))) (/.f64 (+.f64 (/.f64 1 (+.f64 1 (.f64 (.f64 x x) 1/2))) 2) (cbrt.f64 (+.f64 (pow.f64 (+.f64 1 (/.f64 1 (+.f64 1 (.f64 (*.f64 x x) 1/2)))) 2) -1))))
(/.f64 (/.f64 1 (-.f64 1 (.f64 (pow.f64 x 4) 1/4))) (/.f64 1 (+.f64 1 (.f64 (*.f64 x x) -1/2))))
(/.f64 (/.f64 1 (+.f64 1 (.f64 (pow.f64 (.f64 x x) 3) 1/8))) (/.f64 1 (+.f64 1 (+.f64 (.f64 (pow.f64 x 4) 1/4) (.f64 (*.f64 x x) -1/2)))))
(/.f64 (-.f64 1 (.f64 (expm1.f64 (neg.f64 (log1p.f64 (.f64 (.f64 x x) 1/2)))) (expm1.f64 (neg.f64 (log1p.f64 (.f64 (.f64 x x) 1/2)))))) (-.f64 1 (expm1.f64 (neg.f64 (log1p.f64 (.f64 (*.f64 x x) 1/2))))))
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(/.f64 (.f64 (sqrt.f64 (+.f64 1 (.f64 (pow.f64 (.f64 x x) 3) 1/8))) (hypot.f64 1 (.f64 x (sqrt.f64 1/2)))) (sqrt.f64 (+.f64 1 (+.f64 (.f64 (pow.f64 x 4) 1/4) (.f64 (*.f64 x x) -1/2)))))
(/.f64 (.f64 (cbrt.f64 (-.f64 1 (.f64 (pow.f64 x 4) 1/4))) (pow.f64 (cbrt.f64 (+.f64 1 (.f64 (.f64 x x) 1/2))) 2)) (cbrt.f64 (+.f64 1 (.f64 (.f64 x x) -1/2))))
(/.f64 (.f64 (cbrt.f64 (+.f64 1 (.f64 (pow.f64 (.f64 x x) 3) 1/8))) (pow.f64 (cbrt.f64 (+.f64 1 (.f64 (.f64 x x) 1/2))) 2)) (cbrt.f64 (+.f64 1 (+.f64 (.f64 (pow.f64 x 4) 1/4) (.f64 (.f64 x x) -1/2)))))
(/.f64 (.f64 (-.f64 1 (.f64 (.f64 (pow.f64 x 4) 1/4) (.f64 (pow.f64 x 4) 1/4))) (/.f64 1 (+.f64 1 (.f64 (.f64 x x) -1/2)))) (+.f64 1 (*.f64 (pow.f64 x 4) 1/4)))
(/.f64 (.f64 (-.f64 1 (pow.f64 (.f64 (pow.f64 x 4) 1/4) 3)) (/.f64 1 (+.f64 1 (.f64 (.f64 x x) -1/2)))) (+.f64 1 (+.f64 (.f64 (pow.f64 x 4) 1/4) (.f64 (.f64 (pow.f64 x 4) 1/4) (.f64 (pow.f64 x 4) 1/4)))))
(/.f64 (.f64 (-.f64 1 (.f64 (.f64 (pow.f64 (.f64 x x) 3) 1/8) (.f64 (pow.f64 (.f64 x x) 3) 1/8))) (/.f64 1 (+.f64 1 (+.f64 (.f64 (pow.f64 x 4) 1/4) (.f64 (.f64 x x) -1/2))))) (-.f64 1 (.f64 (pow.f64 (*.f64 x x) 3) 1/8)))
(/.f64 (.f64 (+.f64 1 (pow.f64 (.f64 (pow.f64 (.f64 x x) 3) 1/8) 3)) (/.f64 1 (+.f64 1 (+.f64 (.f64 (pow.f64 x 4) 1/4) (.f64 (.f64 x x) -1/2))))) (+.f64 1 (-.f64 (.f64 (.f64 (pow.f64 (.f64 x x) 3) 1/8) (.f64 (pow.f64 (.f64 x x) 3) 1/8)) (.f64 (pow.f64 (*.f64 x x) 3) 1/8))))
(/.f64 (/.f64 (+.f64 (/.f64 1 (+.f64 1 (.f64 (.f64 x x) 1/2))) 2) (+.f64 (/.f64 1 (+.f64 1 (.f64 (.f64 x x) 1/2))) 2)) (/.f64 1 (+.f64 1 (.f64 (.f64 x x) 1/2))))
(/.f64 (/.f64 (+.f64 (/.f64 1 (+.f64 1 (.f64 (.f64 x x) 1/2))) 2) (sqrt.f64 (+.f64 (pow.f64 (+.f64 1 (/.f64 1 (+.f64 1 (.f64 (.f64 x x) 1/2)))) 2) -1))) (sqrt.f64 (+.f64 (pow.f64 (+.f64 1 (/.f64 1 (+.f64 1 (.f64 (.f64 x x) 1/2)))) 2) -1)))
(/.f64 (/.f64 (+.f64 (/.f64 1 (+.f64 1 (.f64 (.f64 x x) 1/2))) 2) (.f64 (cbrt.f64 (+.f64 (pow.f64 (+.f64 1 (/.f64 1 (+.f64 1 (.f64 (.f64 x x) 1/2)))) 2) -1)) (cbrt.f64 (+.f64 (pow.f64 (+.f64 1 (/.f64 1 (+.f64 1 (.f64 (.f64 x x) 1/2)))) 2) -1)))) (cbrt.f64 (+.f64 (pow.f64 (+.f64 1 (/.f64 1 (+.f64 1 (.f64 (*.f64 x x) 1/2)))) 2) -1)))
(/.f64 (/.f64 (-.f64 1 (.f64 (pow.f64 x 4) 1/4)) 1) (+.f64 1 (.f64 (*.f64 x x) -1/2)))
(/.f64 (/.f64 1 (pow.f64 (+.f64 1 (.f64 (.f64 x x) 1/2)) -1/2)) (pow.f64 (+.f64 1 (.f64 (.f64 x x) 1/2)) -1/2))
(/.f64 (/.f64 1 (/.f64 1 (cbrt.f64 (+.f64 1 (.f64 (.f64 x x) 1/2))))) (cbrt.f64 (pow.f64 (+.f64 1 (.f64 (.f64 x x) 1/2)) -2)))
(/.f64 (/.f64 1 (cbrt.f64 (pow.f64 (+.f64 1 (.f64 (.f64 x x) 1/2)) -2))) (/.f64 1 (cbrt.f64 (+.f64 1 (.f64 (.f64 x x) 1/2)))))
(/.f64 (/.f64 1 (+.f64 (pow.f64 (+.f64 1 (/.f64 1 (+.f64 1 (.f64 (.f64 x x) 1/2)))) 2) -1)) (/.f64 1 (+.f64 (/.f64 1 (+.f64 1 (.f64 (.f64 x x) 1/2))) 2)))
(/.f64 (/.f64 1 (+.f64 -1 (pow.f64 (+.f64 1 (/.f64 1 (+.f64 1 (.f64 (.f64 x x) 1/2)))) 3))) (/.f64 1 (+.f64 (/.f64 1 (+.f64 1 (.f64 (.f64 x x) 1/2))) (+.f64 2 (pow.f64 (+.f64 1 (/.f64 1 (+.f64 1 (.f64 (.f64 x x) 1/2)))) 2)))))
(/.f64 (/.f64 1 (/.f64 1 (-.f64 1 (.f64 (pow.f64 x 4) 1/4)))) (+.f64 1 (.f64 (*.f64 x x) -1/2)))
(/.f64 (/.f64 1 (/.f64 1 (+.f64 1 (.f64 (pow.f64 (.f64 x x) 3) 1/8)))) (+.f64 1 (+.f64 (.f64 (pow.f64 x 4) 1/4) (.f64 (*.f64 x x) -1/2))))
(/.f64 (/.f64 1 (+.f64 1 (hypot.f64 1 (pow.f64 (+.f64 1 (.f64 (.f64 x x) 1/2)) -1/2)))) (-.f64 (hypot.f64 1 (pow.f64 (+.f64 1 (.f64 (.f64 x x) 1/2)) -1/2)) 1))
(/.f64 (/.f64 1 (pow.f64 (hypot.f64 1 (.f64 x (sqrt.f64 1/2))) -1)) (pow.f64 (hypot.f64 1 (.f64 x (sqrt.f64 1/2))) -1))
(/.f64 (/.f64 1 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 1 (.f64 (.f64 x x) 1/2))) 2) -1)) (pow.f64 (cbrt.f64 (+.f64 1 (.f64 (.f64 x x) 1/2))) -1))
(/.f64 (/.f64 (hypot.f64 1 (.f64 x (sqrt.f64 1/2))) 1) (pow.f64 (+.f64 1 (.f64 (*.f64 x x) 1/2)) -1/2))
(/.f64 (/.f64 (hypot.f64 1 (.f64 x (sqrt.f64 1/2))) (/.f64 1 (cbrt.f64 (+.f64 1 (.f64 (.f64 x x) 1/2))))) (cbrt.f64 (pow.f64 (+.f64 1 (.f64 (*.f64 x x) 1/2)) -1/2)))
(/.f64 (/.f64 (hypot.f64 1 (.f64 x (sqrt.f64 1/2))) (sqrt.f64 (pow.f64 (+.f64 1 (.f64 (.f64 x x) 1/2)) -1/2))) (sqrt.f64 (pow.f64 (+.f64 1 (.f64 (*.f64 x x) 1/2)) -1/2)))
(/.f64 (/.f64 (hypot.f64 1 (.f64 x (sqrt.f64 1/2))) (sqrt.f64 (cbrt.f64 (pow.f64 (+.f64 1 (.f64 (.f64 x x) 1/2)) -2)))) (sqrt.f64 (/.f64 1 (cbrt.f64 (+.f64 1 (.f64 (*.f64 x x) 1/2))))))
(/.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 1 (.f64 (.f64 x x) 1/2))) 2) 1) (/.f64 1 (cbrt.f64 (+.f64 1 (.f64 (.f64 x x) 1/2)))))
(/.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 1 (.f64 (.f64 x x) 1/2))) 2) (sqrt.f64 (/.f64 1 (cbrt.f64 (+.f64 1 (.f64 (.f64 x x) 1/2)))))) (sqrt.f64 (/.f64 1 (cbrt.f64 (+.f64 1 (.f64 (.f64 x x) 1/2))))))
(/.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 1 (.f64 (.f64 x x) 1/2))) 2) (cbrt.f64 (pow.f64 (+.f64 1 (.f64 (.f64 x x) 1/2)) -1/2))) (cbrt.f64 (pow.f64 (+.f64 1 (.f64 (.f64 x x) 1/2)) -1/2)))
(/.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 1 (.f64 (.f64 x x) 1/2))) 2) (cbrt.f64 (cbrt.f64 (pow.f64 (+.f64 1 (.f64 (.f64 x x) 1/2)) -2)))) (cbrt.f64 (/.f64 1 (cbrt.f64 (+.f64 1 (.f64 (.f64 x x) 1/2))))))
(/.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 1 (.f64 (.f64 x x) 1/2))) 2) (.f64 (cbrt.f64 (/.f64 1 (cbrt.f64 (+.f64 1 (.f64 (.f64 x x) 1/2))))) (cbrt.f64 (/.f64 1 (cbrt.f64 (+.f64 1 (.f64 (.f64 x x) 1/2))))))) (cbrt.f64 (/.f64 1 (cbrt.f64 (+.f64 1 (.f64 (*.f64 x x) 1/2))))))
(/.f64 (/.f64 (-.f64 1 (.f64 (pow.f64 x 4) 1/4)) (sqrt.f64 (+.f64 1 (.f64 (.f64 x x) -1/2)))) (sqrt.f64 (+.f64 1 (.f64 (*.f64 x x) -1/2))))
(/.f64 (/.f64 (-.f64 1 (.f64 (pow.f64 x 4) 1/4)) (.f64 (cbrt.f64 (+.f64 1 (.f64 (.f64 x x) -1/2))) (cbrt.f64 (+.f64 1 (.f64 (.f64 x x) -1/2))))) (cbrt.f64 (+.f64 1 (.f64 (.f64 x x) -1/2))))
(/.f64 (/.f64 (+.f64 1 (.f64 (pow.f64 (.f64 x x) 3) 1/8)) 1) (+.f64 1 (+.f64 (.f64 (pow.f64 x 4) 1/4) (.f64 (*.f64 x x) -1/2))))
(/.f64 (/.f64 (+.f64 1 (.f64 (pow.f64 (.f64 x x) 3) 1/8)) (sqrt.f64 (+.f64 1 (+.f64 (.f64 (pow.f64 x 4) 1/4) (.f64 (.f64 x x) -1/2))))) (sqrt.f64 (+.f64 1 (+.f64 (.f64 (pow.f64 x 4) 1/4) (.f64 (.f64 x x) -1/2)))))
(/.f64 (/.f64 (+.f64 1 (.f64 (pow.f64 (.f64 x x) 3) 1/8)) (.f64 (cbrt.f64 (+.f64 1 (+.f64 (.f64 (pow.f64 x 4) 1/4) (.f64 (.f64 x x) -1/2)))) (cbrt.f64 (+.f64 1 (+.f64 (.f64 (pow.f64 x 4) 1/4) (.f64 (.f64 x x) -1/2)))))) (cbrt.f64 (+.f64 1 (+.f64 (.f64 (pow.f64 x 4) 1/4) (.f64 (.f64 x x) -1/2)))))
(/.f64 (/.f64 (+.f64 (/.f64 1 (+.f64 1 (.f64 (.f64 x x) 1/2))) (+.f64 2 (pow.f64 (+.f64 1 (/.f64 1 (+.f64 1 (.f64 (.f64 x x) 1/2)))) 2))) 1) (+.f64 -1 (pow.f64 (+.f64 1 (/.f64 1 (+.f64 1 (.f64 (.f64 x x) 1/2)))) 3)))
(/.f64 (/.f64 (+.f64 (/.f64 1 (+.f64 1 (.f64 (.f64 x x) 1/2))) (+.f64 2 (pow.f64 (+.f64 1 (/.f64 1 (+.f64 1 (.f64 (.f64 x x) 1/2)))) 2))) (sqrt.f64 (+.f64 -1 (pow.f64 (+.f64 1 (/.f64 1 (+.f64 1 (.f64 (.f64 x x) 1/2)))) 3)))) (sqrt.f64 (+.f64 -1 (pow.f64 (+.f64 1 (/.f64 1 (+.f64 1 (.f64 (.f64 x x) 1/2)))) 3))))
(/.f64 (/.f64 (+.f64 (/.f64 1 (+.f64 1 (.f64 (.f64 x x) 1/2))) (+.f64 2 (pow.f64 (+.f64 1 (/.f64 1 (+.f64 1 (.f64 (.f64 x x) 1/2)))) 2))) (.f64 (cbrt.f64 (+.f64 -1 (pow.f64 (+.f64 1 (/.f64 1 (+.f64 1 (.f64 (.f64 x x) 1/2)))) 3))) (cbrt.f64 (+.f64 -1 (pow.f64 (+.f64 1 (/.f64 1 (+.f64 1 (.f64 (.f64 x x) 1/2)))) 3))))) (cbrt.f64 (+.f64 -1 (pow.f64 (+.f64 1 (/.f64 1 (+.f64 1 (.f64 (*.f64 x x) 1/2)))) 3))))
(pow.f64 (+.f64 1 (.f64 (.f64 x x) 1/2)) 1)
(pow.f64 (hypot.f64 1 (*.f64 x (sqrt.f64 1/2))) 2)
(pow.f64 (cbrt.f64 (+.f64 1 (.f64 (.f64 x x) 1/2))) 3)
(pow.f64 (pow.f64 (+.f64 1 (.f64 (.f64 x x) 1/2)) 3) 1/3)
(sqrt.f64 (pow.f64 (+.f64 1 (.f64 (.f64 x x) 1/2)) 2))
(log.f64 (exp.f64 (+.f64 1 (.f64 (.f64 x x) 1/2))))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 1 (.f64 (.f64 x x) 1/2)))))
(cbrt.f64 (pow.f64 (+.f64 1 (.f64 (.f64 x x) 1/2)) 3))
(expm1.f64 (log1p.f64 (+.f64 1 (.f64 (.f64 x x) 1/2))))
(exp.f64 (log1p.f64 (.f64 (.f64 x x) 1/2)))
(log1p.f64 (expm1.f64 (+.f64 1 (.f64 (.f64 x x) 1/2))))
(fma.f64 1 (.f64 (.f64 x x) 1/2) 1)
(fma.f64 x (*.f64 x 1/2) 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 (cbrt.f64 (.f64 (pow.f64 x 4) 1/4)) (cbrt.f64 (.f64 (*.f64 x x) 1/2)) 1)

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

localize10.0ms (0.2%)

Local error

Found 2 expressions with local error:

New	Error	Program
	0.2b	(/.f64 (/.f64 2 x) x)
✓	1.0b	(-.f64 (+.f64 1 (/.f64 (/.f64 2 x) x)) 1)

Compiler

Compiled 28 to 20 computations (28.6% saved)

series0.0ms (0%)

Counts

1 → 12

Calls

3 calls:

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

rewrite75.0ms (1.4%)

Algorithm

1×	batch-egg-rewrite

Rules

1296×	`associate-/r*`
934×	`associate-/l*`
826×	`*-commutative`
604×	`distribute-lft-in`
562×	`distribute-rgt-in`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	9	25
1	208	13
2	2927	13

Stop Event

1×	node limit

Counts

1 → 174

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (+.f64 (/.f64 (/.f64 2 x) x) -1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (/.f64 2 x) x) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 1 (/.f64 (/.f64 2 x) x)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 (/.f64 2 x) x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (/.f64 (/.f64 2 x) x) -1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (+.f64 1 (/.f64 (/.f64 2 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (/.f64 2 x) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (*.f64 (/.f64 1 x) (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (/.f64 1 (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 2 x) (/.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 2 x) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 2 x)) (*.f64 (sqrt.f64 (/.f64 2 x)) (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 2 x)) (/.f64 (sqrt.f64 (/.f64 2 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 (pow.f64 (cbrt.f64 (/.f64 2 x)) 2) (*.f64 (cbrt.f64 (/.f64 2 x)) (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (/.f64 2 x) x)) (pow.f64 (cbrt.f64 (/.f64 (/.f64 2 x) x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (/.f64 2 x) x)) (/.f64 (pow.f64 (cbrt.f64 (/.f64 2 x)) 2) (pow.f64 (cbrt.f64 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 (/.f64 2 x) x)) 2) (cbrt.f64 (/.f64 (/.f64 2 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 (+.f64 1 (/.f64 (/.f64 2 x) x)) 2) -1) (/.f64 1 (+.f64 2 (/.f64 (/.f64 2 x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 x) (/.f64 2 x))))) (#(struct:change #<rule egg-rr> (2) ((x 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simplify99.0ms (1.9%)

Algorithm

1×	egg-herbie

Rules

498×	`distribute-lft-neg-out`
486×	`associate-/l/`
468×	`distribute-lft-neg-in`
464×	`*-commutative`
464×	`distribute-rgt-neg-out`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	445	6706
1	1247	6418
2	4703	6406

Stop Event

1×	node limit

Counts

186 → 273

Calls

Call 1

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

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

eval350.0ms (6.7%)

Compiler: Compiled 19781 to 15237 computations (23% saved)

prune136.0ms (2.6%)

Pruning

11 alts after pruning (1 fresh and 10 done)

	Pruned	Kept	Total
New	781	0	781
Fresh	0	1	1
Picked	0	1	1
Done	0	9	9
Total	781	11	792

Error

Counts

792 → 11

Alt Table

Click to see full alt table

Status	Error	Program
✓	50.9b	(/.f64 (/.f64 2 x) x)
✓	15.8b	(/.f64 2 (+.f64 2 (*.f64 x x)))
✓	50.3b	(/.f64 2 (*.f64 x x))
✓	0.0b	(/.f64 1 (cosh.f64 x))
✓	34.8b	(-.f64 (+.f64 1 (/.f64 (/.f64 2 x) x)) 1)
✓	0.2b	(-.f64 (+.f64 1 (/.f64 1 (+.f64 1 (.f64 (.f64 x x) 1/2)))) 1)
✓	0.0b	(-.f64 (+.f64 1 (/.f64 1 (cosh.f64 x))) 1)
✓	28.3b	(+.f64 1 (.f64 (.f64 x x) (+.f64 (.f64 (.f64 x x) 5/24) -1/2)))
✓	28.1b	(+.f64 1 (.f64 -1/2 (.f64 x x)))
✓	50.9b	(*.f64 (/.f64 2 x) (/.f64 1 x))
	27.7b	1

Compiler

Compiled 90 to 69 computations (23.3% saved)

regimes16.0ms (0.3%)

Counts

14 → 1

Calls

Call 1

Inputs
1
(/.f64 2 (*.f64 x x))
(/.f64 (/.f64 2 x) x)
(*.f64 (/.f64 2 x) (/.f64 1 x))
(+.f64 1 (.f64 -1/2 (.f64 x x)))
(/.f64 2 (+.f64 2 (*.f64 x x)))
(-.f64 (+.f64 1 (/.f64 (/.f64 2 x) x)) 1)
(+.f64 1 (.f64 (.f64 x x) (+.f64 (.f64 (.f64 x x) 5/24) -1/2)))
(-.f64 (+.f64 1 (/.f64 1 (+.f64 1 (.f64 (.f64 x x) 1/2)))) 1)
(/.f64 1 (cosh.f64 x))
(-.f64 (+.f64 1 (/.f64 1 (cosh.f64 x))) 1)
(/.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))))
(/.f64 2 (expm1.f64 (log1p.f64 (*.f64 2 (cosh.f64 x)))))

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

Calls

3 calls:

8.0ms	x
2.0ms	(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
2.0ms	(/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))

Results

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

Compiler

Compiled 126 to 87 computations (31% saved)

regimes8.0ms (0.2%)

Counts

10 → 1

Calls

Call 1

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

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

Calls

1 calls:

6.0ms

Results

Error	Segments	Branch
0.0b	1	`x`

Compiler

Compiled 74 to 49 computations (33.8% saved)

regimes8.0ms (0.1%)

Counts

9 → 1

Calls

Call 1

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

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

Calls

1 calls:

6.0ms

Results

Error	Segments	Branch
0.2b	1	`x`

Compiler

Compiled 70 to 46 computations (34.3% saved)

regimes18.0ms (0.4%)

Counts

8 → 3

Calls

Call 1

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

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

Calls

1 calls:

14.0ms

Results

Error	Segments	Branch
0.2b	3	`x`

Compiler

Compiled 57 to 36 computations (36.8% saved)

bsearch36.0ms (0.7%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
18.0ms	0.0007422031496210601	187084059.0318064
17.0ms	-1824148810.3635871	-1.1577880932726137

Results

31.0ms

304×

body

256

valid

Compiler

Compiled 507 to 371 computations (26.8% saved)

regimes140.0ms (2.7%)

Counts

7 → 3

Calls

Call 1

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

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

Calls

1 calls:

138.0ms

Results

Error	Segments	Branch
0.2b	3	`x`

Compiler

Compiled 44 to 29 computations (34.1% saved)

bsearch154.0ms (2.9%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
18.0ms	0.0007422031496210601	187084059.0318064
136.0ms	-1824148810.3635871	-1.1577880932726137

Results

150.0ms

304×

body

256

valid

Compiler

Compiled 393 to 314 computations (20.1% saved)

regimes6.0ms (0.1%)

Counts

6 → 1

Calls

Call 1

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

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

Calls

1 calls:

4.0ms

Results

Error	Segments	Branch
15.8b	1	`x`

Compiler

Compiled 35 to 22 computations (37.1% saved)

regimes14.0ms (0.3%)

Counts

5 → 3

Calls

Call 1

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

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

Calls

1 calls:

12.0ms

Results

Error	Segments	Branch
15.8b	3	`x`

Compiler

Compiled 28 to 18 computations (35.7% saved)

bsearch68.0ms (1.3%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
18.0ms	0.0007422031496210601	187084059.0318064
50.0ms	-1824148810.3635871	-1.1577880932726137

Results

64.0ms

304×

body

256

valid

Compiler

Compiled 317 to 238 computations (24.9% saved)

regimes12.0ms (0.2%)

Accuracy

Total -46.3b remaining (-291.4%)

Threshold costs -46.3b (-291.4%)

Counts

4 → 3

Calls

Call 1

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

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

Calls

1 calls:

11.0ms

Results

Error	Segments	Branch
15.9b	3	`x`

Compiler

Compiled 21 to 14 computations (33.3% saved)

bsearch35.0ms (0.7%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
19.0ms	0.0007422031496210601	187084059.0318064
16.0ms	-1824148810.3635871	-1.1577880932726137

Results

32.0ms

304×

body

256

valid

Compiler

Compiled 203 to 162 computations (20.2% saved)

simplify10.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	59	343
1	92	343
2	95	343

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(-.f64 (+.f64 1 (/.f64 1 (cosh.f64 x))) 1)
(/.f64 1 (cosh.f64 x))
(-.f64 (+.f64 1 (/.f64 1 (+.f64 1 (.f64 (.f64 x x) 1/2)))) 1)
(if (<=.f64 x -3/2) (-.f64 (+.f64 1 (/.f64 (/.f64 2 x) x)) 1) (if (<=.f64 x 3/2) (+.f64 1 (.f64 (.f64 x x) (+.f64 (.f64 (.f64 x x) 5/24) -1/2))) (-.f64 (+.f64 1 (/.f64 (/.f64 2 x) x)) 1)))
(if (<=.f64 x -31000) (-.f64 (+.f64 1 (/.f64 (/.f64 2 x) x)) 1) (if (<=.f64 x 43000) (/.f64 2 (+.f64 2 (*.f64 x x))) (-.f64 (+.f64 1 (/.f64 (/.f64 2 x) x)) 1)))
(/.f64 2 (+.f64 2 (*.f64 x x)))
(if (<=.f64 x -5/4) (/.f64 2 (.f64 x x)) (if (<=.f64 x 5494391545392005/4503599627370496) (+.f64 1 (.f64 -1/2 (.f64 x x))) (/.f64 2 (.f64 x x))))
(if (<=.f64 x -3152519739159347/2251799813685248) (/.f64 2 (.f64 x x)) (if (<=.f64 x 3152519739159347/2251799813685248) 1 (/.f64 2 (.f64 x x))))
1

Outputs
(-.f64 (+.f64 1 (/.f64 1 (cosh.f64 x))) 1)
(+.f64 (+.f64 1 (/.f64 1 (cosh.f64 x))) -1)
(/.f64 1 (cosh.f64 x))
(-.f64 (+.f64 1 (/.f64 1 (+.f64 1 (.f64 (.f64 x x) 1/2)))) 1)
(+.f64 (+.f64 1 (/.f64 1 (+.f64 1 (.f64 (.f64 x x) 1/2)))) -1)
(if (<=.f64 x -3/2) (-.f64 (+.f64 1 (/.f64 (/.f64 2 x) x)) 1) (if (<=.f64 x 3/2) (+.f64 1 (.f64 (.f64 x x) (+.f64 (.f64 (.f64 x x) 5/24) -1/2))) (-.f64 (+.f64 1 (/.f64 (/.f64 2 x) x)) 1)))
(if (or (<=.f64 x -3/2) (not (<=.f64 x 3/2))) (+.f64 (+.f64 1 (/.f64 (/.f64 2 x) x)) -1) (+.f64 1 (.f64 (.f64 x x) (+.f64 (.f64 (.f64 x x) 5/24) -1/2))))
(if (<=.f64 x -31000) (-.f64 (+.f64 1 (/.f64 (/.f64 2 x) x)) 1) (if (<=.f64 x 43000) (/.f64 2 (+.f64 2 (*.f64 x x))) (-.f64 (+.f64 1 (/.f64 (/.f64 2 x) x)) 1)))
(if (or (<=.f64 x -31000) (not (<=.f64 x 43000))) (+.f64 (+.f64 1 (/.f64 (/.f64 2 x) x)) -1) (/.f64 2 (+.f64 (*.f64 x x) 2)))
(/.f64 2 (+.f64 2 (*.f64 x x)))
(/.f64 2 (+.f64 (*.f64 x x) 2))
(if (<=.f64 x -5/4) (/.f64 2 (.f64 x x)) (if (<=.f64 x 5494391545392005/4503599627370496) (+.f64 1 (.f64 -1/2 (.f64 x x))) (/.f64 2 (.f64 x x))))
(if (or (<=.f64 x -5/4) (not (<=.f64 x 5494391545392005/4503599627370496))) (/.f64 2 (.f64 x x)) (+.f64 1 (.f64 (*.f64 x x) -1/2)))
(if (<=.f64 x -3152519739159347/2251799813685248) (/.f64 2 (.f64 x x)) (if (<=.f64 x 3152519739159347/2251799813685248) 1 (/.f64 2 (.f64 x x))))
(if (or (<=.f64 x -3152519739159347/2251799813685248) (not (<=.f64 x 3152519739159347/2251799813685248))) (/.f64 2 (*.f64 x x)) 1)
1

Compiler

Compiled 134 to 102 computations (23.9% saved)

soundness90.0ms (1.7%)

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

Compiler

Compiled 53 to 27 computations (49.1% saved)

end67.0ms (1.3%)

Compiler: Compiled 126 to 88 computations (30.2% saved)