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)

sample802.0ms (24.2%)

Results

791.0ms

8256×

body

256

valid

Bogosity

preprocess98.0ms (2.9%)

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)

simplify89.0ms (2.7%)

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 (0.1%)

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))))
1.0ms	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)))

rewrite74.0ms (2.2%)

Algorithm

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

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

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

Counts

2 → 22

Calls

Call 1

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

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

Outputs

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

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

simplify57.0ms (1.7%)

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

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))

eval14.0ms (0.4%)

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

prune7.0ms (0.2%)

Pruning

5 alts after pruning (5 fresh and 0 done)

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

Error

Counts

54 → 5

Alt Table

Click to see full alt table

Status	Error	Program
▶	62.3b	(/.f64 2 (/.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)))))
▶	14.6b	(/.f64 2 (+.f64 2 (*.f64 x x)))
▶	0.0b	(/.f64 1 (cosh.f64 x))
▶	32.9b	(+.f64 1 (.f64 -1/2 (.f64 x x)))
	32.2b	1

Compiler

Compiled 46 to 29 computations (37% saved)

localize6.0ms (0.2%)

Compiler: Compiled 19 to 10 computations (47.4% saved)

localize4.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 9 to 5 computations (44.4% saved)

series5.0ms (0.2%)

Counts

1 → 12

Calls

3 calls:

Time	Variable		Point	Expression
4.0ms	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))

rewrite52.0ms (1.6%)

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	11
1	140	11
2	1630	11

Stop Event

1×	node limit

Counts

1 → 21

Calls

Call 1

Inputs
(/.f64 1 (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))))))))

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))))))))

simplify52.0ms (1.6%)

Algorithm

1×	egg-herbie

Rules

1416×	`associate-/r*`
1090×	`associate-r`
870×	`associate-l`
710×	`distribute-lft-neg-out`
678×	`distribute-rgt-neg-out`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	75	851
1	178	847
2	592	487
3	3111	481

Stop Event

1×	node limit

Counts

33 → 39

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 (+.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))))

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 -61/720 (pow.f64 x 6) (.f64 x (.f64 -1/2 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))
(-.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))
(pow.f64 (sqrt.f64 (cosh.f64 x)) -2)
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cosh.f64 x)) 2) -1) (pow.f64 (cbrt.f64 (cosh.f64 x)) -1))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (cosh.f64 x)) 2)) (/.f64 1 (cbrt.f64 (cosh.f64 x))))
(/.f64 (/.f64 1 (pow.f64 (cbrt.f64 (cosh.f64 x)) 2)) (cbrt.f64 (cosh.f64 x)))
(/.f64 (pow.f64 (cbrt.f64 (cosh.f64 x)) -2) (cbrt.f64 (cosh.f64 x)))
(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))

localize9.0ms (0.3%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 18 to 9 computations (50% saved)

series1.0ms (0%)

Counts

1 → 12

Calls

3 calls:

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

rewrite61.0ms (1.8%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

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

Stop Event

1×	node limit

Counts

1 → 24

Calls

Call 1

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

Outputs

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

simplify50.0ms (1.5%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 2 (0.0ms)

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

Stop Event

1×	node limit

Counts

36 → 57

Calls

Call 1

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

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

localize16.0ms (0.5%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(*.f64 (exp.f64 x) (exp.f64 x))
✓	0.4b	(/.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))))
✓	2.2b	(-.f64 (.f64 (exp.f64 x) (exp.f64 x)) (.f64 (exp.f64 (neg.f64 x)) (exp.f64 (neg.f64 x))))
✓	2.2b	(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))

Compiler

Compiled 83 to 12 computations (85.5% saved)

series5.0ms (0.1%)

Counts

4 → 44

Calls

12 calls:

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

rewrite150.0ms (4.5%)

Algorithm

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

Rules

1696×	`add-sqr-sqrt`
1674×	`*-un-lft-identity`
1568×	`add-cube-cbrt`
1556×	`add-cbrt-cube`
1008×	`add-sqr-sqrt`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	44
1	278	44
2	5217	44
0	8	11
1	170	11
2	2644	11
0	8	11
0	10	31
1	220	27
2	3163	27
0	12	47
1	278	47
2	5246	47
0	12	47
0	6	11
1	116	11
2	1339	11

Stop Event

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

Counts

4 → 81

Calls

Call 1

Inputs
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
(-.f64 (.f64 (exp.f64 x) (exp.f64 x)) (.f64 (exp.f64 (neg.f64 x)) (exp.f64 (neg.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 (exp.f64 x) (exp.f64 x))

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

simplify43.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

300×	`associate-r`
274×	`associate-l`
204×	`fma-def`
186×	`times-frac`
142×	`+-commutative`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	244	2473
1	648	2473
2	3230	2473

Stop Event

1×

unsound

Counts

125 → 114

Calls

Call 1

Inputs
(*.f64 2 x)
(+.f64 (.f64 2 x) (.f64 1/3 (pow.f64 x 3)))
(+.f64 (.f64 2 x) (+.f64 (.f64 1/3 (pow.f64 x 3)) (*.f64 1/60 (pow.f64 x 5))))
(+.f64 (.f64 2 x) (+.f64 (.f64 1/3 (pow.f64 x 3)) (+.f64 (.f64 1/2520 (pow.f64 x 7)) (.f64 1/60 (pow.f64 x 5)))))
(-.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 4 x)
(+.f64 (.f64 8/3 (pow.f64 x 3)) (.f64 4 x))
(+.f64 (.f64 8/15 (pow.f64 x 5)) (+.f64 (.f64 8/3 (pow.f64 x 3)) (*.f64 4 x)))
(+.f64 (.f64 8/15 (pow.f64 x 5)) (+.f64 (.f64 8/3 (pow.f64 x 3)) (+.f64 (.f64 16/315 (pow.f64 x 7)) (.f64 4 x))))
(-.f64 (pow.f64 (exp.f64 x) 2) (pow.f64 (exp.f64 (neg.f64 x)) 2))
(-.f64 (pow.f64 (exp.f64 x) 2) (pow.f64 (exp.f64 (neg.f64 x)) 2))
(-.f64 (pow.f64 (exp.f64 x) 2) (pow.f64 (exp.f64 (neg.f64 x)) 2))
(-.f64 (pow.f64 (exp.f64 x) 2) (pow.f64 (exp.f64 (neg.f64 x)) 2))
(-.f64 (pow.f64 (exp.f64 x) 2) (pow.f64 (exp.f64 (*.f64 -1 x)) 2))
(-.f64 (pow.f64 (exp.f64 x) 2) (pow.f64 (exp.f64 (*.f64 -1 x)) 2))
(-.f64 (pow.f64 (exp.f64 x) 2) (pow.f64 (exp.f64 (*.f64 -1 x)) 2))
(-.f64 (pow.f64 (exp.f64 x) 2) (pow.f64 (exp.f64 (*.f64 -1 x)) 2))
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 (-.f64 (pow.f64 (exp.f64 x) 2) (pow.f64 (exp.f64 (neg.f64 x)) 2)) (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(/.f64 (-.f64 (pow.f64 (exp.f64 x) 2) (pow.f64 (exp.f64 (neg.f64 x)) 2)) (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(/.f64 (-.f64 (pow.f64 (exp.f64 x) 2) (pow.f64 (exp.f64 (neg.f64 x)) 2)) (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(/.f64 (-.f64 (pow.f64 (exp.f64 x) 2) (pow.f64 (exp.f64 (neg.f64 x)) 2)) (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(/.f64 (-.f64 (pow.f64 (exp.f64 x) 2) (pow.f64 (exp.f64 (.f64 -1 x)) 2)) (-.f64 (exp.f64 x) (exp.f64 (.f64 -1 x))))
(/.f64 (-.f64 (pow.f64 (exp.f64 x) 2) (pow.f64 (exp.f64 (.f64 -1 x)) 2)) (-.f64 (exp.f64 x) (exp.f64 (.f64 -1 x))))
(/.f64 (-.f64 (pow.f64 (exp.f64 x) 2) (pow.f64 (exp.f64 (.f64 -1 x)) 2)) (-.f64 (exp.f64 x) (exp.f64 (.f64 -1 x))))
(/.f64 (-.f64 (pow.f64 (exp.f64 x) 2) (pow.f64 (exp.f64 (.f64 -1 x)) 2)) (-.f64 (exp.f64 x) (exp.f64 (.f64 -1 x))))
1
(+.f64 (*.f64 2 x) 1)
(+.f64 (.f64 2 (pow.f64 x 2)) (+.f64 (.f64 2 x) 1))
(+.f64 (.f64 4/3 (pow.f64 x 3)) (+.f64 (.f64 2 (pow.f64 x 2)) (+.f64 (*.f64 2 x) 1)))
(pow.f64 (exp.f64 x) 2)
(pow.f64 (exp.f64 x) 2)
(pow.f64 (exp.f64 x) 2)
(pow.f64 (exp.f64 x) 2)
(pow.f64 (exp.f64 x) 2)
(pow.f64 (exp.f64 x) 2)
(pow.f64 (exp.f64 x) 2)
(pow.f64 (exp.f64 x) 2)
(+.f64 (exp.f64 x) (neg.f64 (exp.f64 (neg.f64 x))))
(.f64 1 (.f64 2 (sinh.f64 x)))
(.f64 (sqrt.f64 (.f64 2 (sinh.f64 x))) (sqrt.f64 (*.f64 2 (sinh.f64 x))))
(.f64 (.f64 (cbrt.f64 (.f64 2 (sinh.f64 x))) (cbrt.f64 (.f64 2 (sinh.f64 x)))) (cbrt.f64 (*.f64 2 (sinh.f64 x))))
(*.f64 2 (sinh.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 (sinh.f64 x)) 1)
(log.f64 (exp.f64 (*.f64 2 (sinh.f64 x))))
(cbrt.f64 (.f64 (.f64 (.f64 2 (sinh.f64 x)) (.f64 2 (sinh.f64 x))) (*.f64 2 (sinh.f64 x))))
(expm1.f64 (log1p.f64 (*.f64 2 (sinh.f64 x))))
(exp.f64 (log.f64 (*.f64 2 (sinh.f64 x))))
(log1p.f64 (expm1.f64 (*.f64 2 (sinh.f64 x))))
(+.f64 (pow.f64 (exp.f64 x) 2) (neg.f64 (pow.f64 (exp.f64 x) 2)))
(+.f64 (pow.f64 (exp.f64 x) 2) (+.f64 (neg.f64 (pow.f64 (exp.f64 x) 2)) (-.f64 (pow.f64 (exp.f64 x) 2) (pow.f64 (exp.f64 x) 2))))
(+.f64 (pow.f64 (exp.f64 x) 2) (*.f64 (neg.f64 (pow.f64 (exp.f64 x) 2)) 1))
(+.f64 (-.f64 (pow.f64 (exp.f64 x) 2) (pow.f64 (exp.f64 x) 2)) (-.f64 (pow.f64 (exp.f64 x) 2) (pow.f64 (exp.f64 x) 2)))
(+.f64 (-.f64 (pow.f64 (exp.f64 x) 2) (pow.f64 (exp.f64 x) 2)) (fma.f64 (neg.f64 (pow.f64 (exp.f64 x) 2)) 1 (pow.f64 (exp.f64 x) 2)))
(+.f64 (-.f64 (pow.f64 (exp.f64 x) 2) (pow.f64 (exp.f64 x) 2)) (fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (exp.f64 x)) 2)) (cbrt.f64 (pow.f64 (exp.f64 x) 4)) (pow.f64 (exp.f64 x) 2)))
(+.f64 (neg.f64 (pow.f64 (exp.f64 x) 2)) (pow.f64 (exp.f64 x) 2))
(*.f64 (-.f64 (pow.f64 (exp.f64 x) 2) (pow.f64 (exp.f64 x) 2)) 1)
(*.f64 1 (-.f64 (pow.f64 (exp.f64 x) 2) (pow.f64 (exp.f64 x) 2)))
(*.f64 (sqrt.f64 (-.f64 (pow.f64 (exp.f64 x) 2) (pow.f64 (exp.f64 x) 2))) (sqrt.f64 (-.f64 (pow.f64 (exp.f64 x) 2) (pow.f64 (exp.f64 x) 2))))
(*.f64 (cbrt.f64 (-.f64 (pow.f64 (exp.f64 x) 2) (pow.f64 (exp.f64 x) 2))) (pow.f64 (cbrt.f64 (-.f64 (pow.f64 (exp.f64 x) 2) (pow.f64 (exp.f64 x) 2))) 2))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 (pow.f64 (exp.f64 x) 2) (pow.f64 (exp.f64 x) 2))) 2) (cbrt.f64 (-.f64 (pow.f64 (exp.f64 x) 2) (pow.f64 (exp.f64 x) 2))))
(.f64 (.f64 2 (cosh.f64 x)) (*.f64 2 (sinh.f64 x)))
(.f64 (.f64 2 (sinh.f64 x)) (*.f64 2 (cosh.f64 x)))
(*.f64 (-.f64 (pow.f64 (exp.f64 x) 4) (pow.f64 (exp.f64 x) 4)) (/.f64 1 (+.f64 (pow.f64 (exp.f64 x) 2) (pow.f64 (exp.f64 x) 2))))
(*.f64 (-.f64 (pow.f64 (exp.f64 x) 6) (pow.f64 (exp.f64 x) 6)) (/.f64 1 (+.f64 (pow.f64 (exp.f64 x) 4) (+.f64 (pow.f64 (exp.f64 x) 4) (pow.f64 (exp.f64 x) 4)))))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (exp.f64 x) 2) (pow.f64 (exp.f64 x) 2)) (-.f64 (pow.f64 (exp.f64 x) 4) (pow.f64 (exp.f64 x) 4))))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (exp.f64 x) 4) (+.f64 (pow.f64 (exp.f64 x) 4) (pow.f64 (exp.f64 x) 4))) (-.f64 (pow.f64 (exp.f64 x) 6) (pow.f64 (exp.f64 x) 6))))
(/.f64 (pow.f64 (-.f64 (pow.f64 (exp.f64 x) 2) (pow.f64 (exp.f64 x) 2)) 3) (+.f64 (pow.f64 (-.f64 (pow.f64 (exp.f64 x) 2) (pow.f64 (exp.f64 x) 2)) 2) (-.f64 (pow.f64 (-.f64 (pow.f64 (exp.f64 x) 2) (pow.f64 (exp.f64 x) 2)) 2) (pow.f64 (-.f64 (pow.f64 (exp.f64 x) 2) (pow.f64 (exp.f64 x) 2)) 2))))
(/.f64 (-.f64 (pow.f64 (exp.f64 x) 4) (pow.f64 (exp.f64 x) 4)) (+.f64 (pow.f64 (exp.f64 x) 2) (pow.f64 (exp.f64 x) 2)))
(/.f64 (-.f64 (pow.f64 (exp.f64 x) 6) (pow.f64 (exp.f64 x) 6)) (+.f64 (pow.f64 (exp.f64 x) 4) (+.f64 (pow.f64 (exp.f64 x) 4) (pow.f64 (exp.f64 x) 4))))
(/.f64 (-.f64 (pow.f64 (exp.f64 x) 4) (*.f64 (neg.f64 (pow.f64 (exp.f64 x) 2)) (neg.f64 (pow.f64 (exp.f64 x) 2)))) (-.f64 (pow.f64 (exp.f64 x) 2) (neg.f64 (pow.f64 (exp.f64 x) 2))))
(/.f64 (+.f64 (pow.f64 (exp.f64 x) 6) (pow.f64 (neg.f64 (pow.f64 (exp.f64 x) 2)) 3)) (+.f64 (pow.f64 (exp.f64 x) 4) (-.f64 (.f64 (neg.f64 (pow.f64 (exp.f64 x) 2)) (neg.f64 (pow.f64 (exp.f64 x) 2))) (.f64 (pow.f64 (exp.f64 x) 2) (neg.f64 (pow.f64 (exp.f64 x) 2))))))
(/.f64 (-.f64 (pow.f64 (-.f64 (pow.f64 (exp.f64 x) 2) (pow.f64 (exp.f64 x) 2)) 2) (pow.f64 (-.f64 (pow.f64 (exp.f64 x) 2) (pow.f64 (exp.f64 x) 2)) 2)) (-.f64 (-.f64 (pow.f64 (exp.f64 x) 2) (pow.f64 (exp.f64 x) 2)) (-.f64 (pow.f64 (exp.f64 x) 2) (pow.f64 (exp.f64 x) 2))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (exp.f64 x) 4) (pow.f64 (exp.f64 x) 4))) (neg.f64 (+.f64 (pow.f64 (exp.f64 x) 2) (pow.f64 (exp.f64 x) 2))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (exp.f64 x) 6) (pow.f64 (exp.f64 x) 6))) (neg.f64 (+.f64 (pow.f64 (exp.f64 x) 4) (+.f64 (pow.f64 (exp.f64 x) 4) (pow.f64 (exp.f64 x) 4)))))
(pow.f64 (-.f64 (pow.f64 (exp.f64 x) 2) (pow.f64 (exp.f64 x) 2)) 1)
(pow.f64 (sqrt.f64 (-.f64 (pow.f64 (exp.f64 x) 2) (pow.f64 (exp.f64 x) 2))) 2)
(pow.f64 (cbrt.f64 (-.f64 (pow.f64 (exp.f64 x) 2) (pow.f64 (exp.f64 x) 2))) 3)
(pow.f64 (pow.f64 (-.f64 (pow.f64 (exp.f64 x) 2) (pow.f64 (exp.f64 x) 2)) 3) 1/3)
(sqrt.f64 (pow.f64 (-.f64 (pow.f64 (exp.f64 x) 2) (pow.f64 (exp.f64 x) 2)) 2))
(log.f64 (pow.f64 (exp.f64 (.f64 2 (cosh.f64 x))) (.f64 2 (sinh.f64 x))))
(log.f64 (+.f64 1 (expm1.f64 (-.f64 (pow.f64 (exp.f64 x) 2) (pow.f64 (exp.f64 x) 2)))))
(cbrt.f64 (pow.f64 (-.f64 (pow.f64 (exp.f64 x) 2) (pow.f64 (exp.f64 x) 2)) 3))
(expm1.f64 (log1p.f64 (-.f64 (pow.f64 (exp.f64 x) 2) (pow.f64 (exp.f64 x) 2))))
(exp.f64 (log.f64 (-.f64 (pow.f64 (exp.f64 x) 2) (pow.f64 (exp.f64 x) 2))))
(exp.f64 (*.f64 (log.f64 (-.f64 (pow.f64 (exp.f64 x) 2) (pow.f64 (exp.f64 x) 2))) 1))
(log1p.f64 (expm1.f64 (-.f64 (pow.f64 (exp.f64 x) 2) (pow.f64 (exp.f64 x) 2))))
(fma.f64 (exp.f64 x) (exp.f64 x) (neg.f64 (pow.f64 (exp.f64 x) 2)))
(fma.f64 1 (pow.f64 (exp.f64 x) 2) (neg.f64 (pow.f64 (exp.f64 x) 2)))
(fma.f64 1 (-.f64 (pow.f64 (exp.f64 x) 2) (pow.f64 (exp.f64 x) 2)) (-.f64 (pow.f64 (exp.f64 x) 2) (pow.f64 (exp.f64 x) 2)))
(fma.f64 (sqrt.f64 (-.f64 (pow.f64 (exp.f64 x) 2) (pow.f64 (exp.f64 x) 2))) (sqrt.f64 (-.f64 (pow.f64 (exp.f64 x) 2) (pow.f64 (exp.f64 x) 2))) (-.f64 (pow.f64 (exp.f64 x) 2) (pow.f64 (exp.f64 x) 2)))
(fma.f64 (cbrt.f64 (pow.f64 (exp.f64 x) 4)) (pow.f64 (cbrt.f64 (exp.f64 x)) 2) (neg.f64 (pow.f64 (exp.f64 x) 2)))
(fma.f64 (pow.f64 (cbrt.f64 (-.f64 (pow.f64 (exp.f64 x) 2) (pow.f64 (exp.f64 x) 2))) 2) (cbrt.f64 (-.f64 (pow.f64 (exp.f64 x) 2) (pow.f64 (exp.f64 x) 2))) (-.f64 (pow.f64 (exp.f64 x) 2) (pow.f64 (exp.f64 x) 2)))
(fma.f64 (neg.f64 (exp.f64 x)) (exp.f64 x) (pow.f64 (exp.f64 x) 2))
(fma.f64 (.f64 2 (cosh.f64 x)) (.f64 2 (sinh.f64 x)) (-.f64 (pow.f64 (exp.f64 x) 2) (pow.f64 (exp.f64 x) 2)))
(-.f64 (/.f64 (pow.f64 (exp.f64 x) 2) (.f64 2 (sinh.f64 x))) (/.f64 (pow.f64 (exp.f64 (neg.f64 x)) 2) (.f64 2 (sinh.f64 x))))
(.f64 (-.f64 (pow.f64 (exp.f64 x) 2) (pow.f64 (exp.f64 (neg.f64 x)) 2)) (/.f64 1 (.f64 2 (sinh.f64 x))))
(.f64 1 (/.f64 (-.f64 (pow.f64 (exp.f64 x) 2) (pow.f64 (exp.f64 (neg.f64 x)) 2)) (.f64 2 (sinh.f64 x))))
(.f64 (sqrt.f64 (/.f64 (-.f64 (pow.f64 (exp.f64 x) 2) (pow.f64 (exp.f64 (neg.f64 x)) 2)) (.f64 2 (sinh.f64 x)))) (sqrt.f64 (/.f64 (-.f64 (pow.f64 (exp.f64 x) 2) (pow.f64 (exp.f64 (neg.f64 x)) 2)) (*.f64 2 (sinh.f64 x)))))
(.f64 (.f64 (cbrt.f64 (/.f64 (-.f64 (pow.f64 (exp.f64 x) 2) (pow.f64 (exp.f64 (neg.f64 x)) 2)) (.f64 2 (sinh.f64 x)))) (cbrt.f64 (/.f64 (-.f64 (pow.f64 (exp.f64 x) 2) (pow.f64 (exp.f64 (neg.f64 x)) 2)) (.f64 2 (sinh.f64 x))))) (cbrt.f64 (/.f64 (-.f64 (pow.f64 (exp.f64 x) 2) (pow.f64 (exp.f64 (neg.f64 x)) 2)) (*.f64 2 (sinh.f64 x)))))
(pow.f64 (/.f64 (-.f64 (pow.f64 (exp.f64 x) 2) (pow.f64 (exp.f64 (neg.f64 x)) 2)) (*.f64 2 (sinh.f64 x))) 1)
(log.f64 (exp.f64 (/.f64 (-.f64 (pow.f64 (exp.f64 x) 2) (pow.f64 (exp.f64 (neg.f64 x)) 2)) (*.f64 2 (sinh.f64 x)))))
(cbrt.f64 (.f64 (.f64 (/.f64 (-.f64 (pow.f64 (exp.f64 x) 2) (pow.f64 (exp.f64 (neg.f64 x)) 2)) (.f64 2 (sinh.f64 x))) (/.f64 (-.f64 (pow.f64 (exp.f64 x) 2) (pow.f64 (exp.f64 (neg.f64 x)) 2)) (.f64 2 (sinh.f64 x)))) (/.f64 (-.f64 (pow.f64 (exp.f64 x) 2) (pow.f64 (exp.f64 (neg.f64 x)) 2)) (*.f64 2 (sinh.f64 x)))))
(expm1.f64 (log1p.f64 (/.f64 (-.f64 (pow.f64 (exp.f64 x) 2) (pow.f64 (exp.f64 (neg.f64 x)) 2)) (*.f64 2 (sinh.f64 x)))))
(exp.f64 (log.f64 (/.f64 (-.f64 (pow.f64 (exp.f64 x) 2) (pow.f64 (exp.f64 (neg.f64 x)) 2)) (*.f64 2 (sinh.f64 x)))))
(log1p.f64 (expm1.f64 (/.f64 (-.f64 (pow.f64 (exp.f64 x) 2) (pow.f64 (exp.f64 (neg.f64 x)) 2)) (*.f64 2 (sinh.f64 x)))))
(-.f64 (+.f64 1 (pow.f64 (exp.f64 x) 2)) 1)
(pow.f64 (exp.f64 x) 2)
(pow.f64 (pow.f64 (exp.f64 x) 2) 1)
(pow.f64 (pow.f64 (cbrt.f64 (exp.f64 x)) 2) 3)
(pow.f64 (pow.f64 (pow.f64 (exp.f64 x) 2) 3) 1/3)
(sqrt.f64 (pow.f64 (exp.f64 x) 4))
(log.f64 (exp.f64 (pow.f64 (exp.f64 x) 2)))
(cbrt.f64 (pow.f64 (pow.f64 (exp.f64 x) 2) 3))
(expm1.f64 (log1p.f64 (pow.f64 (exp.f64 x) 2)))
(exp.f64 (+.f64 x x))
(log1p.f64 (expm1.f64 (pow.f64 (exp.f64 x) 2)))

Outputs
(*.f64 2 x)
(+.f64 x x)
(+.f64 (.f64 2 x) (.f64 1/3 (pow.f64 x 3)))
(fma.f64 2 x (*.f64 1/3 (pow.f64 x 3)))
(+.f64 (.f64 2 x) (+.f64 (.f64 1/3 (pow.f64 x 3)) (*.f64 1/60 (pow.f64 x 5))))
(fma.f64 2 x (fma.f64 1/3 (pow.f64 x 3) (*.f64 1/60 (pow.f64 x 5))))
(+.f64 (.f64 2 x) (+.f64 (.f64 1/3 (pow.f64 x 3)) (+.f64 (.f64 1/2520 (pow.f64 x 7)) (.f64 1/60 (pow.f64 x 5)))))
(fma.f64 2 x (fma.f64 1/3 (pow.f64 x 3) (fma.f64 1/2520 (pow.f64 x 7) (*.f64 1/60 (pow.f64 x 5)))))
(-.f64 (exp.f64 x) (exp.f64 (*.f64 -1 x)))
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
(-.f64 (exp.f64 x) (exp.f64 (*.f64 -1 x)))
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
(-.f64 (exp.f64 x) (exp.f64 (*.f64 -1 x)))
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
(-.f64 (exp.f64 x) (exp.f64 (*.f64 -1 x)))
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
(*.f64 4 x)
(+.f64 x x)
(+.f64 (.f64 8/3 (pow.f64 x 3)) (.f64 4 x))
(fma.f64 8/3 (pow.f64 x 3) (*.f64 x 4))
(+.f64 (.f64 8/15 (pow.f64 x 5)) (+.f64 (.f64 8/3 (pow.f64 x 3)) (*.f64 4 x)))
(fma.f64 8/15 (pow.f64 x 5) (fma.f64 8/3 (pow.f64 x 3) (*.f64 x 4)))
(+.f64 (.f64 8/15 (pow.f64 x 5)) (+.f64 (.f64 8/3 (pow.f64 x 3)) (+.f64 (.f64 16/315 (pow.f64 x 7)) (.f64 4 x))))
(fma.f64 8/15 (pow.f64 x 5) (fma.f64 8/3 (pow.f64 x 3) (fma.f64 16/315 (pow.f64 x 7) (*.f64 x 4))))
(-.f64 (pow.f64 (exp.f64 x) 2) (pow.f64 (exp.f64 (neg.f64 x)) 2))
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
(-.f64 (pow.f64 (exp.f64 x) 2) (pow.f64 (exp.f64 (neg.f64 x)) 2))
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
(-.f64 (pow.f64 (exp.f64 x) 2) (pow.f64 (exp.f64 (neg.f64 x)) 2))
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
(-.f64 (pow.f64 (exp.f64 x) 2) (pow.f64 (exp.f64 (neg.f64 x)) 2))
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
(-.f64 (pow.f64 (exp.f64 x) 2) (pow.f64 (exp.f64 (*.f64 -1 x)) 2))
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
(-.f64 (pow.f64 (exp.f64 x) 2) (pow.f64 (exp.f64 (*.f64 -1 x)) 2))
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
(-.f64 (pow.f64 (exp.f64 x) 2) (pow.f64 (exp.f64 (*.f64 -1 x)) 2))
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
(-.f64 (pow.f64 (exp.f64 x) 2) (pow.f64 (exp.f64 (*.f64 -1 x)) 2))
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
2
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
(+.f64 2 (pow.f64 x 2))
(+.f64 2 (*.f64 x x))
(+.f64 2 (+.f64 (pow.f64 x 2) (*.f64 1/12 (pow.f64 x 4))))
(+.f64 2 (+.f64 (.f64 x x) (.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 2 (fma.f64 1/360 (pow.f64 x 6) (+.f64 (.f64 x x) (.f64 1/12 (pow.f64 x 4)))))
(/.f64 (-.f64 (pow.f64 (exp.f64 x) 2) (pow.f64 (exp.f64 (neg.f64 x)) 2)) (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
(/.f64 (-.f64 (pow.f64 (exp.f64 x) 2) (pow.f64 (exp.f64 (neg.f64 x)) 2)) (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
(/.f64 (-.f64 (pow.f64 (exp.f64 x) 2) (pow.f64 (exp.f64 (neg.f64 x)) 2)) (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
(/.f64 (-.f64 (pow.f64 (exp.f64 x) 2) (pow.f64 (exp.f64 (neg.f64 x)) 2)) (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
(/.f64 (-.f64 (pow.f64 (exp.f64 x) 2) (pow.f64 (exp.f64 (.f64 -1 x)) 2)) (-.f64 (exp.f64 x) (exp.f64 (.f64 -1 x))))
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
(/.f64 (-.f64 (pow.f64 (exp.f64 x) 2) (pow.f64 (exp.f64 (.f64 -1 x)) 2)) (-.f64 (exp.f64 x) (exp.f64 (.f64 -1 x))))
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
(/.f64 (-.f64 (pow.f64 (exp.f64 x) 2) (pow.f64 (exp.f64 (.f64 -1 x)) 2)) (-.f64 (exp.f64 x) (exp.f64 (.f64 -1 x))))
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
(/.f64 (-.f64 (pow.f64 (exp.f64 x) 2) (pow.f64 (exp.f64 (.f64 -1 x)) 2)) (-.f64 (exp.f64 x) (exp.f64 (.f64 -1 x))))
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
1
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
(+.f64 (*.f64 2 x) 1)
(+.f64 x x)
(+.f64 (.f64 2 (pow.f64 x 2)) (+.f64 (.f64 2 x) 1))
(+.f64 x x)
(+.f64 (.f64 4/3 (pow.f64 x 3)) (+.f64 (.f64 2 (pow.f64 x 2)) (+.f64 (*.f64 2 x) 1)))
(fma.f64 4/3 (pow.f64 x 3) (fma.f64 2 (*.f64 x x) (fma.f64 2 x 1)))
(pow.f64 (exp.f64 x) 2)
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
(pow.f64 (exp.f64 x) 2)
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
(pow.f64 (exp.f64 x) 2)
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
(pow.f64 (exp.f64 x) 2)
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
(pow.f64 (exp.f64 x) 2)
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
(pow.f64 (exp.f64 x) 2)
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
(pow.f64 (exp.f64 x) 2)
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
(pow.f64 (exp.f64 x) 2)
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
(+.f64 (exp.f64 x) (neg.f64 (exp.f64 (neg.f64 x))))
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
(.f64 1 (.f64 2 (sinh.f64 x)))
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
(.f64 (sqrt.f64 (.f64 2 (sinh.f64 x))) (sqrt.f64 (*.f64 2 (sinh.f64 x))))
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
(.f64 (.f64 (cbrt.f64 (.f64 2 (sinh.f64 x))) (cbrt.f64 (.f64 2 (sinh.f64 x)))) (cbrt.f64 (*.f64 2 (sinh.f64 x))))
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
(*.f64 2 (sinh.f64 x))
(-.f64 (exp.f64 x) (exp.f64 (neg.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 (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))))))
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
(pow.f64 (*.f64 2 (sinh.f64 x)) 1)
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
(log.f64 (exp.f64 (*.f64 2 (sinh.f64 x))))
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
(cbrt.f64 (.f64 (.f64 (.f64 2 (sinh.f64 x)) (.f64 2 (sinh.f64 x))) (*.f64 2 (sinh.f64 x))))
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
(expm1.f64 (log1p.f64 (*.f64 2 (sinh.f64 x))))
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
(exp.f64 (log.f64 (*.f64 2 (sinh.f64 x))))
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
(log1p.f64 (expm1.f64 (*.f64 2 (sinh.f64 x))))
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
(+.f64 (pow.f64 (exp.f64 x) 2) (neg.f64 (pow.f64 (exp.f64 x) 2)))
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
(+.f64 (pow.f64 (exp.f64 x) 2) (+.f64 (neg.f64 (pow.f64 (exp.f64 x) 2)) (-.f64 (pow.f64 (exp.f64 x) 2) (pow.f64 (exp.f64 x) 2))))
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
(+.f64 (pow.f64 (exp.f64 x) 2) (*.f64 (neg.f64 (pow.f64 (exp.f64 x) 2)) 1))
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
(+.f64 (-.f64 (pow.f64 (exp.f64 x) 2) (pow.f64 (exp.f64 x) 2)) (-.f64 (pow.f64 (exp.f64 x) 2) (pow.f64 (exp.f64 x) 2)))
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
(+.f64 (-.f64 (pow.f64 (exp.f64 x) 2) (pow.f64 (exp.f64 x) 2)) (fma.f64 (neg.f64 (pow.f64 (exp.f64 x) 2)) 1 (pow.f64 (exp.f64 x) 2)))
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
(+.f64 (-.f64 (pow.f64 (exp.f64 x) 2) (pow.f64 (exp.f64 x) 2)) (fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (exp.f64 x)) 2)) (cbrt.f64 (pow.f64 (exp.f64 x) 4)) (pow.f64 (exp.f64 x) 2)))
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
(+.f64 (neg.f64 (pow.f64 (exp.f64 x) 2)) (pow.f64 (exp.f64 x) 2))
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
(*.f64 (-.f64 (pow.f64 (exp.f64 x) 2) (pow.f64 (exp.f64 x) 2)) 1)
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
(*.f64 1 (-.f64 (pow.f64 (exp.f64 x) 2) (pow.f64 (exp.f64 x) 2)))
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
(*.f64 (sqrt.f64 (-.f64 (pow.f64 (exp.f64 x) 2) (pow.f64 (exp.f64 x) 2))) (sqrt.f64 (-.f64 (pow.f64 (exp.f64 x) 2) (pow.f64 (exp.f64 x) 2))))
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
(*.f64 (cbrt.f64 (-.f64 (pow.f64 (exp.f64 x) 2) (pow.f64 (exp.f64 x) 2))) (pow.f64 (cbrt.f64 (-.f64 (pow.f64 (exp.f64 x) 2) (pow.f64 (exp.f64 x) 2))) 2))
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 (pow.f64 (exp.f64 x) 2) (pow.f64 (exp.f64 x) 2))) 2) (cbrt.f64 (-.f64 (pow.f64 (exp.f64 x) 2) (pow.f64 (exp.f64 x) 2))))
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
(.f64 (.f64 2 (cosh.f64 x)) (*.f64 2 (sinh.f64 x)))
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
(.f64 (.f64 2 (sinh.f64 x)) (*.f64 2 (cosh.f64 x)))
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
(*.f64 (-.f64 (pow.f64 (exp.f64 x) 4) (pow.f64 (exp.f64 x) 4)) (/.f64 1 (+.f64 (pow.f64 (exp.f64 x) 2) (pow.f64 (exp.f64 x) 2))))
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
(*.f64 (-.f64 (pow.f64 (exp.f64 x) 6) (pow.f64 (exp.f64 x) 6)) (/.f64 1 (+.f64 (pow.f64 (exp.f64 x) 4) (+.f64 (pow.f64 (exp.f64 x) 4) (pow.f64 (exp.f64 x) 4)))))
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (exp.f64 x) 2) (pow.f64 (exp.f64 x) 2)) (-.f64 (pow.f64 (exp.f64 x) 4) (pow.f64 (exp.f64 x) 4))))
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (exp.f64 x) 4) (+.f64 (pow.f64 (exp.f64 x) 4) (pow.f64 (exp.f64 x) 4))) (-.f64 (pow.f64 (exp.f64 x) 6) (pow.f64 (exp.f64 x) 6))))
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
(/.f64 (pow.f64 (-.f64 (pow.f64 (exp.f64 x) 2) (pow.f64 (exp.f64 x) 2)) 3) (+.f64 (pow.f64 (-.f64 (pow.f64 (exp.f64 x) 2) (pow.f64 (exp.f64 x) 2)) 2) (-.f64 (pow.f64 (-.f64 (pow.f64 (exp.f64 x) 2) (pow.f64 (exp.f64 x) 2)) 2) (pow.f64 (-.f64 (pow.f64 (exp.f64 x) 2) (pow.f64 (exp.f64 x) 2)) 2))))
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
(/.f64 (-.f64 (pow.f64 (exp.f64 x) 4) (pow.f64 (exp.f64 x) 4)) (+.f64 (pow.f64 (exp.f64 x) 2) (pow.f64 (exp.f64 x) 2)))
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
(/.f64 (-.f64 (pow.f64 (exp.f64 x) 6) (pow.f64 (exp.f64 x) 6)) (+.f64 (pow.f64 (exp.f64 x) 4) (+.f64 (pow.f64 (exp.f64 x) 4) (pow.f64 (exp.f64 x) 4))))
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
(/.f64 (-.f64 (pow.f64 (exp.f64 x) 4) (*.f64 (neg.f64 (pow.f64 (exp.f64 x) 2)) (neg.f64 (pow.f64 (exp.f64 x) 2)))) (-.f64 (pow.f64 (exp.f64 x) 2) (neg.f64 (pow.f64 (exp.f64 x) 2))))
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
(/.f64 (+.f64 (pow.f64 (exp.f64 x) 6) (pow.f64 (neg.f64 (pow.f64 (exp.f64 x) 2)) 3)) (+.f64 (pow.f64 (exp.f64 x) 4) (-.f64 (.f64 (neg.f64 (pow.f64 (exp.f64 x) 2)) (neg.f64 (pow.f64 (exp.f64 x) 2))) (.f64 (pow.f64 (exp.f64 x) 2) (neg.f64 (pow.f64 (exp.f64 x) 2))))))
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
(/.f64 (-.f64 (pow.f64 (-.f64 (pow.f64 (exp.f64 x) 2) (pow.f64 (exp.f64 x) 2)) 2) (pow.f64 (-.f64 (pow.f64 (exp.f64 x) 2) (pow.f64 (exp.f64 x) 2)) 2)) (-.f64 (-.f64 (pow.f64 (exp.f64 x) 2) (pow.f64 (exp.f64 x) 2)) (-.f64 (pow.f64 (exp.f64 x) 2) (pow.f64 (exp.f64 x) 2))))
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
(/.f64 (neg.f64 (-.f64 (pow.f64 (exp.f64 x) 4) (pow.f64 (exp.f64 x) 4))) (neg.f64 (+.f64 (pow.f64 (exp.f64 x) 2) (pow.f64 (exp.f64 x) 2))))
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
(/.f64 (neg.f64 (-.f64 (pow.f64 (exp.f64 x) 6) (pow.f64 (exp.f64 x) 6))) (neg.f64 (+.f64 (pow.f64 (exp.f64 x) 4) (+.f64 (pow.f64 (exp.f64 x) 4) (pow.f64 (exp.f64 x) 4)))))
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
(pow.f64 (-.f64 (pow.f64 (exp.f64 x) 2) (pow.f64 (exp.f64 x) 2)) 1)
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
(pow.f64 (sqrt.f64 (-.f64 (pow.f64 (exp.f64 x) 2) (pow.f64 (exp.f64 x) 2))) 2)
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
(pow.f64 (cbrt.f64 (-.f64 (pow.f64 (exp.f64 x) 2) (pow.f64 (exp.f64 x) 2))) 3)
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
(pow.f64 (pow.f64 (-.f64 (pow.f64 (exp.f64 x) 2) (pow.f64 (exp.f64 x) 2)) 3) 1/3)
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
(sqrt.f64 (pow.f64 (-.f64 (pow.f64 (exp.f64 x) 2) (pow.f64 (exp.f64 x) 2)) 2))
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
(log.f64 (pow.f64 (exp.f64 (.f64 2 (cosh.f64 x))) (.f64 2 (sinh.f64 x))))
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
(log.f64 (+.f64 1 (expm1.f64 (-.f64 (pow.f64 (exp.f64 x) 2) (pow.f64 (exp.f64 x) 2)))))
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
(cbrt.f64 (pow.f64 (-.f64 (pow.f64 (exp.f64 x) 2) (pow.f64 (exp.f64 x) 2)) 3))
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
(expm1.f64 (log1p.f64 (-.f64 (pow.f64 (exp.f64 x) 2) (pow.f64 (exp.f64 x) 2))))
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
(exp.f64 (log.f64 (-.f64 (pow.f64 (exp.f64 x) 2) (pow.f64 (exp.f64 x) 2))))
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
(exp.f64 (*.f64 (log.f64 (-.f64 (pow.f64 (exp.f64 x) 2) (pow.f64 (exp.f64 x) 2))) 1))
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
(log1p.f64 (expm1.f64 (-.f64 (pow.f64 (exp.f64 x) 2) (pow.f64 (exp.f64 x) 2))))
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
(fma.f64 (exp.f64 x) (exp.f64 x) (neg.f64 (pow.f64 (exp.f64 x) 2)))
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
(fma.f64 1 (pow.f64 (exp.f64 x) 2) (neg.f64 (pow.f64 (exp.f64 x) 2)))
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
(fma.f64 1 (-.f64 (pow.f64 (exp.f64 x) 2) (pow.f64 (exp.f64 x) 2)) (-.f64 (pow.f64 (exp.f64 x) 2) (pow.f64 (exp.f64 x) 2)))
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
(fma.f64 (sqrt.f64 (-.f64 (pow.f64 (exp.f64 x) 2) (pow.f64 (exp.f64 x) 2))) (sqrt.f64 (-.f64 (pow.f64 (exp.f64 x) 2) (pow.f64 (exp.f64 x) 2))) (-.f64 (pow.f64 (exp.f64 x) 2) (pow.f64 (exp.f64 x) 2)))
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
(fma.f64 (cbrt.f64 (pow.f64 (exp.f64 x) 4)) (pow.f64 (cbrt.f64 (exp.f64 x)) 2) (neg.f64 (pow.f64 (exp.f64 x) 2)))
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
(fma.f64 (pow.f64 (cbrt.f64 (-.f64 (pow.f64 (exp.f64 x) 2) (pow.f64 (exp.f64 x) 2))) 2) (cbrt.f64 (-.f64 (pow.f64 (exp.f64 x) 2) (pow.f64 (exp.f64 x) 2))) (-.f64 (pow.f64 (exp.f64 x) 2) (pow.f64 (exp.f64 x) 2)))
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
(fma.f64 (neg.f64 (exp.f64 x)) (exp.f64 x) (pow.f64 (exp.f64 x) 2))
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
(fma.f64 (.f64 2 (cosh.f64 x)) (.f64 2 (sinh.f64 x)) (-.f64 (pow.f64 (exp.f64 x) 2) (pow.f64 (exp.f64 x) 2)))
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
(-.f64 (/.f64 (pow.f64 (exp.f64 x) 2) (.f64 2 (sinh.f64 x))) (/.f64 (pow.f64 (exp.f64 (neg.f64 x)) 2) (.f64 2 (sinh.f64 x))))
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
(.f64 (-.f64 (pow.f64 (exp.f64 x) 2) (pow.f64 (exp.f64 (neg.f64 x)) 2)) (/.f64 1 (.f64 2 (sinh.f64 x))))
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
(.f64 1 (/.f64 (-.f64 (pow.f64 (exp.f64 x) 2) (pow.f64 (exp.f64 (neg.f64 x)) 2)) (.f64 2 (sinh.f64 x))))
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
(.f64 (sqrt.f64 (/.f64 (-.f64 (pow.f64 (exp.f64 x) 2) (pow.f64 (exp.f64 (neg.f64 x)) 2)) (.f64 2 (sinh.f64 x)))) (sqrt.f64 (/.f64 (-.f64 (pow.f64 (exp.f64 x) 2) (pow.f64 (exp.f64 (neg.f64 x)) 2)) (*.f64 2 (sinh.f64 x)))))
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
(.f64 (.f64 (cbrt.f64 (/.f64 (-.f64 (pow.f64 (exp.f64 x) 2) (pow.f64 (exp.f64 (neg.f64 x)) 2)) (.f64 2 (sinh.f64 x)))) (cbrt.f64 (/.f64 (-.f64 (pow.f64 (exp.f64 x) 2) (pow.f64 (exp.f64 (neg.f64 x)) 2)) (.f64 2 (sinh.f64 x))))) (cbrt.f64 (/.f64 (-.f64 (pow.f64 (exp.f64 x) 2) (pow.f64 (exp.f64 (neg.f64 x)) 2)) (*.f64 2 (sinh.f64 x)))))
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
(pow.f64 (/.f64 (-.f64 (pow.f64 (exp.f64 x) 2) (pow.f64 (exp.f64 (neg.f64 x)) 2)) (*.f64 2 (sinh.f64 x))) 1)
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
(log.f64 (exp.f64 (/.f64 (-.f64 (pow.f64 (exp.f64 x) 2) (pow.f64 (exp.f64 (neg.f64 x)) 2)) (*.f64 2 (sinh.f64 x)))))
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
(cbrt.f64 (.f64 (.f64 (/.f64 (-.f64 (pow.f64 (exp.f64 x) 2) (pow.f64 (exp.f64 (neg.f64 x)) 2)) (.f64 2 (sinh.f64 x))) (/.f64 (-.f64 (pow.f64 (exp.f64 x) 2) (pow.f64 (exp.f64 (neg.f64 x)) 2)) (.f64 2 (sinh.f64 x)))) (/.f64 (-.f64 (pow.f64 (exp.f64 x) 2) (pow.f64 (exp.f64 (neg.f64 x)) 2)) (*.f64 2 (sinh.f64 x)))))
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
(expm1.f64 (log1p.f64 (/.f64 (-.f64 (pow.f64 (exp.f64 x) 2) (pow.f64 (exp.f64 (neg.f64 x)) 2)) (*.f64 2 (sinh.f64 x)))))
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
(exp.f64 (log.f64 (/.f64 (-.f64 (pow.f64 (exp.f64 x) 2) (pow.f64 (exp.f64 (neg.f64 x)) 2)) (*.f64 2 (sinh.f64 x)))))
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
(log1p.f64 (expm1.f64 (/.f64 (-.f64 (pow.f64 (exp.f64 x) 2) (pow.f64 (exp.f64 (neg.f64 x)) 2)) (*.f64 2 (sinh.f64 x)))))
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
(-.f64 (+.f64 1 (pow.f64 (exp.f64 x) 2)) 1)
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
(pow.f64 (exp.f64 x) 2)
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
(pow.f64 (pow.f64 (exp.f64 x) 2) 1)
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
(pow.f64 (pow.f64 (cbrt.f64 (exp.f64 x)) 2) 3)
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
(pow.f64 (pow.f64 (pow.f64 (exp.f64 x) 2) 3) 1/3)
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
(sqrt.f64 (pow.f64 (exp.f64 x) 4))
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
(log.f64 (exp.f64 (pow.f64 (exp.f64 x) 2)))
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
(cbrt.f64 (pow.f64 (pow.f64 (exp.f64 x) 2) 3))
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
(expm1.f64 (log1p.f64 (pow.f64 (exp.f64 x) 2)))
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
(exp.f64 (+.f64 x x))
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
(log1p.f64 (expm1.f64 (pow.f64 (exp.f64 x) 2)))
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))

eval56.0ms (1.7%)

Compiler: Compiled 3918 to 2147 computations (45.2% saved)

prune26.0ms (0.8%)

Pruning

7 alts after pruning (4 fresh and 3 done)

	Pruned	Kept	Total
New	207	3	210
Fresh	0	1	1
Picked	1	0	1
Done	0	3	3
Total	208	7	215

Error

Counts

215 → 7

Alt Table

Click to see full alt table

Status	Error	Program
▶	44.8b	(/.f64 (/.f64 2 x) x)
▶	0.0b	(/.f64 2 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))
✓	14.6b	(/.f64 2 (+.f64 2 (*.f64 x x)))
▶	44.7b	(/.f64 2 (*.f64 x x))
✓	0.0b	(/.f64 1 (cosh.f64 x))
✓	32.9b	(+.f64 1 (.f64 -1/2 (.f64 x x)))
	32.2b	1

Compiler

Compiled 45 to 33 computations (26.7% saved)

localize4.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 11 to 5 computations (54.5% saved)

series1.0ms (0%)

Counts

1 → 12

Calls

3 calls:

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

rewrite48.0ms (1.4%)

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 (1.3%)

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))

localize9.0ms (0.3%)

Local error

Found 3 expressions with local error:

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

Compiler

Compiled 26 to 14 computations (46.2% saved)

series2.0ms (0.1%)

Counts

3 → 12

Calls

9 calls:

Time	Variable		Point	Expression
1.0ms	x	@	-inf	(/.f64 2 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))
1.0ms	x	@	inf	(/.f64 2 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))
0.0ms	x	@	0	(/.f64 2 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))
0.0ms	x	@	0	(/.f64 1 (exp.f64 x))
0.0ms	x	@	inf	(+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))

rewrite81.0ms (2.5%)

Algorithm

1×	batch-egg-rewrite

Rules

1078×	`associate-*r/`
848×	`*-commutative`
762×	`associate-*l/`
658×	`unswap-sqr`
592×	`associate-/r*`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	10	53
1	214	37
2	2682	31

Stop Event

1×	node limit

Counts

3 → 185

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 1 (cosh.f64 x)) (*.f64 (/.f64 2 (-.f64 (pow.f64 (exp.f64 x) -2) (pow.f64 (exp.f64 x) 2))) (fma.f64 (neg.f64 (exp.f64 x)) 1 (exp.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 1 (cosh.f64 x)) (*.f64 (/.f64 2 (-.f64 (pow.f64 (exp.f64 x) -2) (pow.f64 (exp.f64 x) 2))) (fma.f64 (neg.f64 (sqrt.f64 (exp.f64 x))) (sqrt.f64 (exp.f64 x)) (exp.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 1 (cosh.f64 x)) (*.f64 (/.f64 2 (-.f64 (pow.f64 (exp.f64 x) -2) (pow.f64 (exp.f64 x) 2))) (fma.f64 (neg.f64 (cbrt.f64 (exp.f64 x))) (pow.f64 (cbrt.f64 (exp.f64 x)) 2) (exp.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 1 (cosh.f64 x)) (*.f64 (fma.f64 (neg.f64 (exp.f64 x)) 1 (exp.f64 x)) (/.f64 2 (-.f64 (pow.f64 (exp.f64 x) -2) (pow.f64 (exp.f64 x) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 1 (cosh.f64 x)) (*.f64 (fma.f64 (neg.f64 (sqrt.f64 (exp.f64 x))) (sqrt.f64 (exp.f64 x)) (exp.f64 x)) (/.f64 2 (-.f64 (pow.f64 (exp.f64 x) -2) (pow.f64 (exp.f64 x) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 1 (cosh.f64 x)) (*.f64 (fma.f64 (neg.f64 (cbrt.f64 (exp.f64 x))) (pow.f64 (cbrt.f64 (exp.f64 x)) 2) (exp.f64 x)) (/.f64 2 (-.f64 (pow.f64 (exp.f64 x) -2) (pow.f64 (exp.f64 x) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 2 (-.f64 (pow.f64 (exp.f64 x) -2) (pow.f64 (exp.f64 x) 2))) (exp.f64 (neg.f64 x))) (*.f64 (/.f64 2 (-.f64 (pow.f64 (exp.f64 x) -2) (pow.f64 (exp.f64 x) 2))) (neg.f64 (exp.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 2 (+.f64 (pow.f64 (exp.f64 x) -3) (pow.f64 (exp.f64 x) 3))) (pow.f64 (exp.f64 x) -2)) (*.f64 (/.f64 2 (+.f64 (pow.f64 (exp.f64 x) -3) (pow.f64 (exp.f64 x) 3))) (+.f64 (pow.f64 (exp.f64 x) 2) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 2 (+.f64 (pow.f64 (exp.f64 x) -3) (pow.f64 (exp.f64 x) 3))) (+.f64 (pow.f64 (exp.f64 x) 2) -1)) (*.f64 (/.f64 2 (+.f64 (pow.f64 (exp.f64 x) -3) (pow.f64 (exp.f64 x) 3))) (pow.f64 (exp.f64 x) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (exp.f64 (neg.f64 x)) (/.f64 2 (-.f64 (pow.f64 (exp.f64 x) -2) (pow.f64 (exp.f64 x) 2)))) (*.f64 (neg.f64 (exp.f64 x)) (/.f64 2 (-.f64 (pow.f64 (exp.f64 x) -2) (pow.f64 (exp.f64 x) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (pow.f64 (exp.f64 x) -2) (/.f64 2 (+.f64 (pow.f64 (exp.f64 x) -3) (pow.f64 (exp.f64 x) 3)))) (*.f64 (+.f64 (pow.f64 (exp.f64 x) 2) -1) (/.f64 2 (+.f64 (pow.f64 (exp.f64 x) -3) (pow.f64 (exp.f64 x) 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (+.f64 (pow.f64 (exp.f64 x) 2) -1) (/.f64 2 (+.f64 (pow.f64 (exp.f64 x) -3) (pow.f64 (exp.f64 x) 3)))) (*.f64 (pow.f64 (exp.f64 x) -2) (/.f64 2 (+.f64 (pow.f64 (exp.f64 x) -3) (pow.f64 (exp.f64 x) 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 1 (cosh.f64 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (/.f64 1/2 (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 (sqrt.f64 (/.f64 1 (cosh.f64 x))) (sqrt.f64 (/.f64 1 (cosh.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 1 (cosh.f64 x))) (pow.f64 (cbrt.f64 (/.f64 1 (cosh.f64 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 1 (cosh.f64 x))) 2) (cbrt.f64 (/.f64 1 (cosh.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) (/.f64 2 (-.f64 (pow.f64 (exp.f64 x) -2) (pow.f64 (exp.f64 x) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1/2 (cosh.f64 x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 (exp.f64 x) -2) (+.f64 (pow.f64 (exp.f64 x) 2) -1)) (/.f64 2 (+.f64 (pow.f64 (exp.f64 x) -3) (pow.f64 (exp.f64 x) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -2 (/.f64 1 (*.f64 -2 (cosh.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 (*.f64 2 (cosh.f64 x)))) (/.f64 2 (sqrt.f64 (*.f64 2 (cosh.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 (*.f64 2 (cosh.f64 x))) 2)) (/.f64 2 (cbrt.f64 (*.f64 2 (cosh.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 2 (-.f64 (pow.f64 (exp.f64 x) -2) (pow.f64 (exp.f64 x) 2))) (-.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 2 (+.f64 (pow.f64 (exp.f64 x) -3) (pow.f64 (exp.f64 x) 3))) (+.f64 (pow.f64 (exp.f64 x) -2) (+.f64 (pow.f64 (exp.f64 x) 2) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (-.f64 (pow.f64 (exp.f64 x) -2) (pow.f64 (exp.f64 x) 2))) (*.f64 2 (-.f64 (exp.f64 (neg.f64 x)) (exp.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 (pow.f64 (exp.f64 x) -3) (pow.f64 (exp.f64 x) 3))) (*.f64 2 (+.f64 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simplify116.0ms (3.5%)

Algorithm

1×	egg-herbie

Rules

1342×	`distribute-lft-neg-out`
700×	`+-commutative`
668×	`associate-r`
580×	`associate-+r+`
546×	`associate-l`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	463	8239
1	1267	7855
2	5590	7795

Stop Event

1×	node limit

Counts

197 → 319

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

localize5.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.1b	(/.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)

rewrite50.0ms (1.5%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

1 → 36

Calls

Call 1

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

Outputs

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

simplify48.0ms (1.4%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

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

Stop Event

1×	node limit

Counts

48 → 43

Calls

Call 1

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

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

eval112.0ms (3.4%)

Compiler: Compiled 7493 to 4511 computations (39.8% saved)

prune51.0ms (1.5%)

Pruning

9 alts after pruning (3 fresh and 6 done)

	Pruned	Kept	Total
New	384	2	386
Fresh	0	1	1
Picked	0	1	1
Done	0	5	5
Total	384	9	393

Error

Counts

393 → 9

Alt Table

Click to see full alt table

Status	Error	Program
✓	44.8b	(/.f64 (/.f64 2 x) x)
✓	0.0b	(/.f64 2 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))
✓	14.6b	(/.f64 2 (+.f64 2 (*.f64 x x)))
✓	44.7b	(/.f64 2 (*.f64 x x))
✓	0.0b	(/.f64 1 (cosh.f64 x))
▶	30.7b	(-.f64 (+.f64 1 (/.f64 2 (*.f64 x x))) 1)
✓	32.9b	(+.f64 1 (.f64 -1/2 (.f64 x x)))
▶	44.8b	(*.f64 (/.f64 2 x) (/.f64 1 x))
	32.2b	1

Compiler

Compiled 63 to 47 computations (25.4% saved)

localize8.0ms (0.2%)

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))

rewrite52.0ms (1.6%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

1 → 36

Calls

Call 1

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

Outputs

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

simplify48.0ms (1.5%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

48 → 38

Calls

Call 1

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

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

localize9.0ms (0.3%)

Local error

Found 2 expressions with local error:

New	Error	Program
	0.3b	(/.f64 2 (*.f64 x x))
✓	0.8b	(-.f64 (+.f64 1 (/.f64 2 (*.f64 x x))) 1)

Compiler

Compiled 28 to 16 computations (42.9% saved)

series1.0ms (0%)

Counts

1 → 12

Calls

3 calls:

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

rewrite166.0ms (5%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

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

Stop Event

1×	node limit

Counts

1 → 56

Calls

Call 1

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

Outputs

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

simplify288.0ms (8.7%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 2 (0.0ms)

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

Stop Event

1×	node limit

Counts

68 → 76

Calls

Call 1

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

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

eval66.0ms (2%)

Compiler: Compiled 1618 to 1275 computations (21.2% saved)

prune54.0ms (1.6%)

Pruning

9 alts after pruning (1 fresh and 8 done)

	Pruned	Kept	Total
New	138	0	138
Fresh	0	1	1
Picked	0	1	1
Done	0	7	7
Total	138	9	147

Error

Counts

147 → 9

Alt Table

Click to see full alt table

Status	Error	Program
✓	44.8b	(/.f64 (/.f64 2 x) x)
✓	0.0b	(/.f64 2 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))
✓	14.6b	(/.f64 2 (+.f64 2 (*.f64 x x)))
✓	44.7b	(/.f64 2 (*.f64 x x))
✓	0.0b	(/.f64 1 (cosh.f64 x))
✓	30.7b	(-.f64 (+.f64 1 (/.f64 2 (*.f64 x x))) 1)
✓	32.9b	(+.f64 1 (.f64 -1/2 (.f64 x x)))
✓	44.8b	(*.f64 (/.f64 2 x) (/.f64 1 x))
	32.2b	1

Compiler

Compiled 63 to 47 computations (25.4% saved)

regimes14.0ms (0.4%)

Counts

11 → 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 2 (*.f64 x x))) 1)
(/.f64 1 (cosh.f64 x))
(/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(/.f64 2 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))
(/.f64 2 (/.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)))))

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

Calls

3 calls:

6.0ms	x
3.0ms	(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
2.0ms	(/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))

Results

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

Compiler

Compiled 103 to 61 computations (40.8% saved)

regimes14.0ms (0.4%)

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 2 (*.f64 x x))) 1)
(/.f64 1 (cosh.f64 x))
(/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))

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

Calls

3 calls:

5.0ms	x
4.0ms	(/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
2.0ms	(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))

Results

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

Compiler

Compiled 72 to 49 computations (31.9% saved)

regimes15.0ms (0.5%)

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

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

Calls

1 calls:

14.0ms

Results

Error	Segments	Branch
0.7b	3	`x`

Compiler

Compiled 44 to 28 computations (36.4% saved)

bsearch63.0ms (1.9%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
47.0ms	1.149494696186207e-9	34438.94112969746
16.0ms	-31.012931423504565	-6.48975867309206e-7

Results

59.0ms

304×

body

256

valid

Compiler

Compiled 393 to 314 computations (20.1% saved)

regimes6.0ms (0.2%)

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
14.6b	1	`x`

Compiler

Compiled 35 to 22 computations (37.1% saved)

regimes13.0ms (0.4%)

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
14.6b	3	`x`

Compiler

Compiled 28 to 18 computations (35.7% saved)

bsearch61.0ms (1.8%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
44.0ms	1.149494696186207e-9	34438.94112969746
16.0ms	-31.012931423504565	-6.48975867309206e-7

Results

57.0ms

304×

body

256

valid

Compiler

Compiled 317 to 238 computations (24.9% saved)

regimes11.0ms (0.3%)

Accuracy

Total -47.5b remaining (-323.7%)

Threshold costs -47.5b (-323.7%)

Counts

4 → 3

Calls

Call 1

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

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

Calls

1 calls:

10.0ms

Results

Error	Segments	Branch
14.7b	3	`x`

Compiler

Compiled 21 to 14 computations (33.3% saved)

bsearch35.0ms (1.1%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
19.0ms	1.149494696186207e-9	34438.94112969746
16.0ms	-31.012931423504565	-6.48975867309206e-7

Results

30.0ms

304×

body

256

valid

Compiler

Compiled 203 to 162 computations (20.2% saved)

simplify10.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	38	223
1	57	223
2	58	223

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(/.f64 2 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))
(/.f64 1 (cosh.f64 x))
(if (<=.f64 x -5404319552844595/4503599627370496) (-.f64 (+.f64 1 (/.f64 2 (.f64 x x))) 1) (if (<=.f64 x 5/4) (+.f64 1 (.f64 -1/2 (.f64 x x))) (-.f64 (+.f64 1 (/.f64 2 (.f64 x x))) 1)))
(/.f64 2 (+.f64 2 (*.f64 x x)))
(if (<=.f64 x -5404319552844595/4503599627370496) (/.f64 2 (.f64 x x)) (if (<=.f64 x 5/4) (+.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 2 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))
(/.f64 2 (+.f64 (exp.f64 x) (/.f64 1 (exp.f64 x))))
(/.f64 1 (cosh.f64 x))
(if (<=.f64 x -5404319552844595/4503599627370496) (-.f64 (+.f64 1 (/.f64 2 (.f64 x x))) 1) (if (<=.f64 x 5/4) (+.f64 1 (.f64 -1/2 (.f64 x x))) (-.f64 (+.f64 1 (/.f64 2 (.f64 x x))) 1)))
(if (or (<=.f64 x -5404319552844595/4503599627370496) (not (<=.f64 x 5/4))) (+.f64 (+.f64 1 (/.f64 2 (.f64 x x))) -1) (+.f64 1 (.f64 (*.f64 x x) -1/2)))
(/.f64 2 (+.f64 2 (*.f64 x x)))
(if (<=.f64 x -5404319552844595/4503599627370496) (/.f64 2 (.f64 x x)) (if (<=.f64 x 5/4) (+.f64 1 (.f64 -1/2 (.f64 x x))) (/.f64 2 (.f64 x x))))
(if (or (<=.f64 x -5404319552844595/4503599627370496) (not (<=.f64 x 5/4))) (/.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 89 to 65 computations (27% saved)

soundness77.0ms (2.3%)

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)

end52.0ms (1.6%)

Compiler: Compiled 83 to 56 computations (32.5% saved)

Details

analyze0.0ms (0%)

sample802.0ms (24.2%)

preprocess98.0ms (2.9%)

simplify89.0ms (2.7%)

eval0.0ms (0%)

prune1.0ms (0%)

localize8.0ms (0.2%)

series2.0ms (0.1%)

rewrite74.0ms (2.2%)

simplify57.0ms (1.7%)

eval14.0ms (0.4%)

prune7.0ms (0.2%)

localize6.0ms (0.2%)

localize4.0ms (0.1%)

series5.0ms (0.2%)

rewrite52.0ms (1.6%)

simplify52.0ms (1.6%)

localize9.0ms (0.3%)

series1.0ms (0%)

rewrite61.0ms (1.8%)

simplify50.0ms (1.5%)

localize16.0ms (0.5%)

series5.0ms (0.1%)

rewrite150.0ms (4.5%)

simplify43.0ms (1.3%)

eval56.0ms (1.7%)

prune26.0ms (0.8%)

localize4.0ms (0.1%)

series1.0ms (0%)

rewrite48.0ms (1.4%)

simplify43.0ms (1.3%)

localize9.0ms (0.3%)

series2.0ms (0.1%)

rewrite81.0ms (2.5%)

simplify116.0ms (3.5%)

localize5.0ms (0.1%)

series0.0ms (0%)

rewrite50.0ms (1.5%)

simplify48.0ms (1.4%)

eval112.0ms (3.4%)

prune51.0ms (1.5%)

localize8.0ms (0.2%)

series0.0ms (0%)

rewrite52.0ms (1.6%)

simplify48.0ms (1.5%)

localize9.0ms (0.3%)

series1.0ms (0%)

rewrite166.0ms (5%)

simplify288.0ms (8.7%)

eval66.0ms (2%)

prune54.0ms (1.6%)

regimes14.0ms (0.4%)

regimes14.0ms (0.4%)

regimes15.0ms (0.5%)

bsearch63.0ms (1.9%)

regimes6.0ms (0.2%)

regimes13.0ms (0.4%)

bsearch61.0ms (1.8%)

regimes11.0ms (0.3%)

bsearch35.0ms (1.1%)

simplify10.0ms (0.3%)

soundness77.0ms (2.3%)

end52.0ms (1.6%)

Profiling