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)

sample867.0ms (30.7%)

Results

857.0ms

8256×

body

256

valid

Bogosity

preprocess80.0ms (2.8%)

Algorithm

2×	egg-herbie

Rules

702×	`fma-def_binary64`
434×	`unswap-sqr_binary64`
345×	`fma-neg_binary64`
290×	`exp-prod_binary64`
264×	`*-commutative_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	13
1	15	13
2	21	13
3	28	13
4	47	13
5	87	13
6	184	13
7	434	13
8	1195	13
9	3176	13
10	4367	13
11	5548	13
12	7298	13
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)

simplify62.0ms (2.2%)

Algorithm

1×	egg-herbie

Rules

702×	`fma-def_binary64`
434×	`unswap-sqr_binary64`
345×	`fma-neg_binary64`
290×	`exp-prod_binary64`
264×	`*-commutative_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	13
1	15	13
2	21	13
3	28	13
4	47	13
5	87	13
6	184	13
7	434	13
8	1195	13
9	3176	13
10	4367	13
11	5548	13
12	7298	13

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 (0.3%)

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)

series11.0ms (0.4%)

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))))
1.0ms	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)))

Compiler

Compiled 980 to 580 computations (40.8% saved)

rewrite45.0ms (1.6%)

Algorithm

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

Rules

91×	`add-sqr-sqrt_binary64`
91×	`add-sqr-sqrt_binary64`
87×	`add-log-exp_binary64`
87×	`add-log-exp_binary64`
85×	`*-un-lft-identity_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	18
1	176	18
2	2839	18
0	8	9
1	176	9
2	2839	9
0	8	9
0	6	6
1	129	6
2	2150	6
0	6	6

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

simplify48.0ms (1.7%)

Algorithm

1×	egg-herbie

Rules

643×	`fma-def_binary64`
488×	`associate-l_binary64`
407×	`associate-/l*_binary64`
394×	`distribute-rgt-in_binary64`
393×	`associate-r_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	94	566
1	223	550
2	836	413
3	4593	335

Stop Event

1×	node limit

Counts

46 → 55

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

eval15.0ms (0.5%)

Compiler: Compiled 690 to 468 computations (32.2% saved)

prune7.0ms (0.3%)

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	50	5	55
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	51	5	56

Error

Counts

56 → 5

Alt Table

Click to see full alt table

Status	Error	Program
▶	14.2b	(/.f64 2 (+.f64 2 (*.f64 x x)))
▶	0.0b	(/.f64 1 (cosh.f64 x))
▶	34.9b	(+.f64 1 (.f64 -1/2 (.f64 x x)))
▶	0.0b	(.f64 (.f64 (cbrt.f64 (/.f64 2 (.f64 2 (cosh.f64 x)))) (cbrt.f64 (/.f64 2 (.f64 2 (cosh.f64 x))))) (cbrt.f64 (/.f64 2 (*.f64 2 (cosh.f64 x)))))
	34.3b	1

Compiler

Compiled 47 to 37 computations (21.3% saved)

localize23.0ms (0.8%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 60 to 42 computations (30% saved)

series45.0ms (1.6%)

Counts

4 → 48

Calls

12 calls:

Time	Variable		Point	Expression
6.0ms	x	@	-inf	(.f64 (.f64 (cbrt.f64 (/.f64 2 (.f64 2 (cosh.f64 x)))) (cbrt.f64 (/.f64 2 (.f64 2 (cosh.f64 x))))) (cbrt.f64 (/.f64 2 (*.f64 2 (cosh.f64 x)))))
3.0ms	x	@	inf	(cbrt.f64 (/.f64 2 (*.f64 2 (cosh.f64 x))))
3.0ms	x	@	-inf	(cbrt.f64 (/.f64 2 (*.f64 2 (cosh.f64 x))))
1.0ms	x	@	0	(cbrt.f64 (/.f64 2 (*.f64 2 (cosh.f64 x))))
1.0ms	x	@	inf	(.f64 (.f64 (cbrt.f64 (/.f64 2 (.f64 2 (cosh.f64 x)))) (cbrt.f64 (/.f64 2 (.f64 2 (cosh.f64 x))))) (cbrt.f64 (/.f64 2 (*.f64 2 (cosh.f64 x)))))

Compiler

Compiled 3770 to 2855 computations (24.3% saved)

rewrite58.0ms (2%)

Algorithm

1×	batch-egg-rewrite

Rules

749×	`pow1_binary64`
701×	`add-log-exp_binary64`
699×	`log1p-expm1-u_binary64`
699×	`expm1-log1p-u_binary64`
683×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	31
1	187	31
2	2089	31

Stop Event

1×	node limit

Counts

4 → 94

Calls

Call 1

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

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

simplify74.0ms (2.6%)

Algorithm

1×	egg-herbie

Rules

692×	`fma-def_binary64`
518×	`times-frac_binary64`
296×	`associate-/l*_binary64`
288×	`cube-prod_binary64`
288×	`fma-neg_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	213	2287
1	484	2145
2	1527	1435
3	6224	1421

Stop Event

1×	node limit

Counts

142 → 152

Calls

Call 1

Inputs
1
(+.f64 1 (*.f64 -1/6 (pow.f64 x 2)))
(+.f64 1 (+.f64 (.f64 -1/6 (pow.f64 x 2)) (.f64 1/24 (pow.f64 x 4))))
(+.f64 1 (+.f64 (.f64 -1/6 (pow.f64 x 2)) (+.f64 (.f64 1/24 (pow.f64 x 4)) (*.f64 -83/6480 (pow.f64 x 6)))))
(*.f64 (pow.f64 (/.f64 1 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))) 1/3) (cbrt.f64 2))
(*.f64 (pow.f64 (/.f64 1 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))) 1/3) (cbrt.f64 2))
(*.f64 (pow.f64 (/.f64 1 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))) 1/3) (cbrt.f64 2))
(*.f64 (pow.f64 (/.f64 1 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))) 1/3) (cbrt.f64 2))
(*.f64 (pow.f64 (/.f64 1 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))) 1/3) (cbrt.f64 2))
(*.f64 (pow.f64 (/.f64 1 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))) 1/3) (cbrt.f64 2))
(*.f64 (pow.f64 (/.f64 1 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))) 1/3) (cbrt.f64 2))
(*.f64 (pow.f64 (/.f64 1 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))) 1/3) (cbrt.f64 2))
1
(+.f64 (*.f64 -1/3 (pow.f64 x 2)) 1)
(+.f64 (.f64 1/9 (pow.f64 x 4)) (+.f64 (.f64 -1/3 (pow.f64 x 2)) 1))
(+.f64 (.f64 1/9 (pow.f64 x 4)) (+.f64 (.f64 -1/3 (pow.f64 x 2)) (+.f64 1 (*.f64 -16/405 (pow.f64 x 6)))))
(*.f64 (pow.f64 (cbrt.f64 2) 2) (pow.f64 (pow.f64 (/.f64 1 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))) 1/3) 2))
(*.f64 (pow.f64 (cbrt.f64 2) 2) (pow.f64 (pow.f64 (/.f64 1 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))) 1/3) 2))
(*.f64 (pow.f64 (cbrt.f64 2) 2) (pow.f64 (pow.f64 (/.f64 1 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))) 1/3) 2))
(*.f64 (pow.f64 (cbrt.f64 2) 2) (pow.f64 (pow.f64 (/.f64 1 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))) 1/3) 2))
(*.f64 (pow.f64 (cbrt.f64 2) 2) (pow.f64 (pow.f64 (/.f64 1 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))) 1/3) 2))
(*.f64 (pow.f64 (cbrt.f64 2) 2) (pow.f64 (pow.f64 (/.f64 1 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))) 1/3) 2))
(*.f64 (pow.f64 (cbrt.f64 2) 2) (pow.f64 (pow.f64 (/.f64 1 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))) 1/3) 2))
(*.f64 (pow.f64 (cbrt.f64 2) 2) (pow.f64 (pow.f64 (/.f64 1 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))) 1/3) 2))
1
(+.f64 1 (*.f64 -1/2 (pow.f64 x 2)))
(+.f64 1 (+.f64 (.f64 -1/2 (pow.f64 x 2)) (.f64 5/24 (pow.f64 x 4))))
(+.f64 1 (+.f64 (.f64 -1/2 (pow.f64 x 2)) (+.f64 (.f64 -61/720 (pow.f64 x 6)) (*.f64 5/24 (pow.f64 x 4)))))
(/.f64 2 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))
(/.f64 2 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))
(/.f64 2 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))
(/.f64 2 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))
(/.f64 2 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))
(/.f64 2 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))
(/.f64 2 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))
(/.f64 2 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))
1
(+.f64 1 (*.f64 -1/2 (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 (pow.f64 (cbrt.f64 2) 2) (.f64 (pow.f64 (/.f64 1 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))) 1/3) (*.f64 (cbrt.f64 2) (pow.f64 (pow.f64 (/.f64 1 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))) 1/3) 2))))
(.f64 (pow.f64 (cbrt.f64 2) 2) (.f64 (pow.f64 (/.f64 1 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))) 1/3) (*.f64 (cbrt.f64 2) (pow.f64 (pow.f64 (/.f64 1 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))) 1/3) 2))))
(.f64 (pow.f64 (cbrt.f64 2) 2) (.f64 (pow.f64 (/.f64 1 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))) 1/3) (*.f64 (cbrt.f64 2) (pow.f64 (pow.f64 (/.f64 1 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))) 1/3) 2))))
(.f64 (pow.f64 (cbrt.f64 2) 2) (.f64 (pow.f64 (/.f64 1 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))) 1/3) (*.f64 (cbrt.f64 2) (pow.f64 (pow.f64 (/.f64 1 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))) 1/3) 2))))
(.f64 (pow.f64 (cbrt.f64 2) 2) (.f64 (pow.f64 (/.f64 1 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))) 1/3) (*.f64 (cbrt.f64 2) (pow.f64 (pow.f64 (/.f64 1 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))) 1/3) 2))))
(.f64 (pow.f64 (cbrt.f64 2) 2) (.f64 (pow.f64 (/.f64 1 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))) 1/3) (*.f64 (cbrt.f64 2) (pow.f64 (pow.f64 (/.f64 1 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))) 1/3) 2))))
(.f64 (pow.f64 (cbrt.f64 2) 2) (.f64 (pow.f64 (/.f64 1 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))) 1/3) (*.f64 (cbrt.f64 2) (pow.f64 (pow.f64 (/.f64 1 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))) 1/3) 2))))
(.f64 (pow.f64 (cbrt.f64 2) 2) (.f64 (pow.f64 (/.f64 1 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))) 1/3) (*.f64 (cbrt.f64 2) (pow.f64 (pow.f64 (/.f64 1 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))) 1/3) 2))))
(-.f64 (+.f64 1 (/.f64 1 (cbrt.f64 (cosh.f64 x)))) 1)
(*.f64 (/.f64 1 (cbrt.f64 (cosh.f64 x))) 1)
(*.f64 1 (/.f64 1 (cbrt.f64 (cosh.f64 x))))
(*.f64 (cbrt.f64 (pow.f64 (/.f64 1 (cbrt.f64 (cosh.f64 x))) 2)) (cbrt.f64 (/.f64 1 (cbrt.f64 (cosh.f64 x)))))
(*.f64 (cbrt.f64 2) (cbrt.f64 (/.f64 1/2 (cosh.f64 x))))
(*.f64 (cbrt.f64 2) (pow.f64 (/.f64 1/2 (cosh.f64 x)) 1/3))
(.f64 (cbrt.f64 2) (/.f64 1 (cbrt.f64 (.f64 2 (cosh.f64 x)))))
(*.f64 (cbrt.f64 (/.f64 1 (cbrt.f64 (cosh.f64 x)))) (cbrt.f64 (pow.f64 (/.f64 1 (cbrt.f64 (cosh.f64 x))) 2)))
(*.f64 (pow.f64 (/.f64 1 (cosh.f64 x)) 1/6) (pow.f64 (/.f64 1 (cosh.f64 x)) 1/6))
(*.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (/.f64 1 (cbrt.f64 (cosh.f64 x))) 4))) (sqrt.f64 (cbrt.f64 (pow.f64 (/.f64 1 (cbrt.f64 (cosh.f64 x))) 2))))
(*.f64 (pow.f64 1 1/3) (/.f64 1 (cbrt.f64 (cosh.f64 x))))
(*.f64 (pow.f64 (/.f64 1 (sqrt.f64 (cosh.f64 x))) 1/3) (pow.f64 (/.f64 1 (sqrt.f64 (cosh.f64 x))) 1/3))
(/.f64 1 (cbrt.f64 (cosh.f64 x)))
(/.f64 (cbrt.f64 2) (cbrt.f64 (*.f64 2 (cosh.f64 x))))
(/.f64 (cbrt.f64 -2) (cbrt.f64 (*.f64 (cosh.f64 x) -2)))
(/.f64 (neg.f64 (cbrt.f64 2)) (neg.f64 (cbrt.f64 (*.f64 2 (cosh.f64 x)))))
(pow.f64 (/.f64 1 (cosh.f64 x)) 1/3)
(pow.f64 (/.f64 1 (cbrt.f64 (cosh.f64 x))) 1)
(pow.f64 (pow.f64 (/.f64 1 (cbrt.f64 (cosh.f64 x))) 2) 1/2)
(pow.f64 (cbrt.f64 (/.f64 1 (cbrt.f64 (cosh.f64 x)))) 3)
(pow.f64 (pow.f64 (/.f64 1 (cosh.f64 x)) 1/6) 2)
(sqrt.f64 (pow.f64 (/.f64 1 (cbrt.f64 (cosh.f64 x))) 2))
(fabs.f64 (/.f64 1 (cbrt.f64 (cosh.f64 x))))
(log.f64 (exp.f64 (/.f64 1 (cbrt.f64 (cosh.f64 x)))))
(expm1.f64 (log1p.f64 (/.f64 1 (cbrt.f64 (cosh.f64 x)))))
(log1p.f64 (expm1.f64 (/.f64 1 (cbrt.f64 (cosh.f64 x)))))
(exp.f64 (*.f64 (neg.f64 (log.f64 (cosh.f64 x))) 1/3))
(-.f64 (+.f64 1 (pow.f64 (/.f64 1 (cbrt.f64 (cosh.f64 x))) 2)) 1)
(/.f64 (cbrt.f64 4) (pow.f64 (cbrt.f64 (*.f64 2 (cosh.f64 x))) 2))
(/.f64 (.f64 (cbrt.f64 2) (/.f64 1 (cbrt.f64 (cosh.f64 x)))) (cbrt.f64 (.f64 2 (cosh.f64 x))))
(/.f64 (.f64 (/.f64 1 (cbrt.f64 (cosh.f64 x))) (cbrt.f64 2)) (cbrt.f64 (.f64 2 (cosh.f64 x))))
(pow.f64 (/.f64 1 (cosh.f64 x)) 2/3)
(pow.f64 (/.f64 1 (cbrt.f64 (cosh.f64 x))) 2)
(pow.f64 (pow.f64 (/.f64 1 (cbrt.f64 (cosh.f64 x))) 2) 1)
(pow.f64 (/.f64 1 (pow.f64 (cosh.f64 x) 2)) 1/3)
(pow.f64 (cbrt.f64 (pow.f64 (/.f64 1 (cbrt.f64 (cosh.f64 x))) 2)) 3)
(sqrt.f64 (pow.f64 (/.f64 1 (cbrt.f64 (cosh.f64 x))) 4))
(log.f64 (exp.f64 (pow.f64 (/.f64 1 (cbrt.f64 (cosh.f64 x))) 2)))
(cbrt.f64 (/.f64 1 (pow.f64 (cosh.f64 x) 2)))
(expm1.f64 (log1p.f64 (pow.f64 (/.f64 1 (cbrt.f64 (cosh.f64 x))) 2)))
(log1p.f64 (expm1.f64 (pow.f64 (/.f64 1 (cbrt.f64 (cosh.f64 x))) 2)))
(exp.f64 (.f64 2 (.f64 (neg.f64 (log.f64 (cosh.f64 x))) 1/3)))
(-.f64 (+.f64 1 (/.f64 1 (cosh.f64 x))) 1)
(*.f64 2 (/.f64 1/2 (cosh.f64 x)))
(*.f64 (/.f64 1 (cosh.f64 x)) 1)
(*.f64 (/.f64 1 (cbrt.f64 (cosh.f64 x))) (pow.f64 (/.f64 1 (cbrt.f64 (cosh.f64 x))) 2))
(*.f64 (pow.f64 (/.f64 1 (cbrt.f64 (cosh.f64 x))) 2) (/.f64 1 (cbrt.f64 (cosh.f64 x))))
(*.f64 1 (/.f64 1 (cosh.f64 x)))
(.f64 (cbrt.f64 (pow.f64 (/.f64 1 (cbrt.f64 (cosh.f64 x))) 2)) (.f64 (cbrt.f64 (/.f64 1 (cbrt.f64 (cosh.f64 x)))) (pow.f64 (/.f64 1 (cbrt.f64 (cosh.f64 x))) 2)))
(.f64 (cbrt.f64 (pow.f64 (/.f64 1 (cbrt.f64 (cosh.f64 x))) 4)) (.f64 (cbrt.f64 (pow.f64 (/.f64 1 (cbrt.f64 (cosh.f64 x))) 2)) (/.f64 1 (cbrt.f64 (cosh.f64 x)))))
(*.f64 (/.f64 1 (sqrt.f64 (cosh.f64 x))) (/.f64 1 (sqrt.f64 (cosh.f64 x))))
(.f64 (pow.f64 (/.f64 1 (cosh.f64 x)) 1/6) (.f64 (pow.f64 (/.f64 1 (cosh.f64 x)) 1/6) (pow.f64 (/.f64 1 (cbrt.f64 (cosh.f64 x))) 2)))
(.f64 -2 (/.f64 1 (.f64 (cosh.f64 x) -2)))
(*.f64 (/.f64 1/2 (cosh.f64 x)) 2)
(*.f64 (pow.f64 (pow.f64 (/.f64 1 (cosh.f64 x)) 1/6) 3) (pow.f64 (pow.f64 (/.f64 1 (cosh.f64 x)) 1/6) 3))
(.f64 (.f64 (/.f64 1 (cbrt.f64 (cosh.f64 x))) (cbrt.f64 (pow.f64 (/.f64 1 (cbrt.f64 (cosh.f64 x))) 4))) (cbrt.f64 (pow.f64 (/.f64 1 (cbrt.f64 (cosh.f64 x))) 2)))
(.f64 (.f64 (pow.f64 (/.f64 1 (cbrt.f64 (cosh.f64 x))) 2) (cbrt.f64 (pow.f64 (/.f64 1 (cbrt.f64 (cosh.f64 x))) 2))) (cbrt.f64 (/.f64 1 (cbrt.f64 (cosh.f64 x)))))
(.f64 (.f64 (pow.f64 (/.f64 1 (cbrt.f64 (cosh.f64 x))) 2) (pow.f64 (/.f64 1 (cosh.f64 x)) 1/6)) (pow.f64 (/.f64 1 (cosh.f64 x)) 1/6))
(pow.f64 (cosh.f64 x) -1)
(pow.f64 (/.f64 1 (cosh.f64 x)) 1)
(pow.f64 (/.f64 1 (cbrt.f64 (cosh.f64 x))) 3)
(pow.f64 (pow.f64 (/.f64 1 (cosh.f64 x)) 3) 1/3)
(pow.f64 (/.f64 1 (sqrt.f64 (cosh.f64 x))) 2)
(sqrt.f64 (/.f64 1 (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))))
(log1p.f64 (expm1.f64 (/.f64 1 (cosh.f64 x))))
(exp.f64 (neg.f64 (log.f64 (cosh.f64 x))))
(-.f64 (+.f64 1 (/.f64 1 (cosh.f64 x))) 1)
(/.f64 2 (*.f64 2 (cosh.f64 x)))
(/.f64 2 (neg.f64 (*.f64 (cosh.f64 x) -2)))
(/.f64 1 (cosh.f64 x))
(/.f64 (/.f64 1 (sqrt.f64 (cosh.f64 x))) (sqrt.f64 (cosh.f64 x)))
(/.f64 -2 (*.f64 (cosh.f64 x) -2))
(/.f64 -1 (neg.f64 (cosh.f64 x)))
(/.f64 (pow.f64 (cbrt.f64 2) 3) (*.f64 2 (cosh.f64 x)))
(/.f64 (/.f64 2 (cosh.f64 x)) 2)
(/.f64 (/.f64 2 (sqrt.f64 (.f64 2 (cosh.f64 x)))) (sqrt.f64 (.f64 2 (cosh.f64 x))))
(/.f64 (/.f64 2 (pow.f64 (cbrt.f64 (.f64 2 (cosh.f64 x))) 2)) (cbrt.f64 (.f64 2 (cosh.f64 x))))
(/.f64 (/.f64 1 (pow.f64 (cbrt.f64 (cosh.f64 x)) 2)) (cbrt.f64 (cosh.f64 x)))
(/.f64 (.f64 (cbrt.f64 2) (pow.f64 (/.f64 1 (cbrt.f64 (cosh.f64 x))) 2)) (cbrt.f64 (.f64 2 (cosh.f64 x))))
(/.f64 (.f64 (pow.f64 (/.f64 1 (cbrt.f64 (cosh.f64 x))) 2) (cbrt.f64 2)) (cbrt.f64 (.f64 2 (cosh.f64 x))))
(pow.f64 (cosh.f64 x) -1)
(pow.f64 (/.f64 1 (cosh.f64 x)) 1)
(pow.f64 (/.f64 1 (cbrt.f64 (cosh.f64 x))) 3)
(pow.f64 (pow.f64 (/.f64 1 (cosh.f64 x)) 3) 1/3)
(pow.f64 (/.f64 1 (sqrt.f64 (cosh.f64 x))) 2)
(sqrt.f64 (/.f64 1 (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))))
(log1p.f64 (expm1.f64 (/.f64 1 (cosh.f64 x))))
(exp.f64 (neg.f64 (log.f64 (cosh.f64 x))))

Outputs
1
(+.f64 1 (*.f64 -1/6 (pow.f64 x 2)))
(+.f64 1 (.f64 -1/6 (.f64 x x)))
(fma.f64 -1/6 (*.f64 x x) 1)
(+.f64 1 (+.f64 (.f64 -1/6 (pow.f64 x 2)) (.f64 1/24 (pow.f64 x 4))))
(+.f64 1 (fma.f64 -1/6 (.f64 x x) (.f64 1/24 (pow.f64 x 4))))
(+.f64 (fma.f64 -1/6 (.f64 x x) 1) (.f64 1/24 (pow.f64 x 4)))
(fma.f64 -1/6 (*.f64 x x) (fma.f64 1/24 (pow.f64 x 4) 1))
(+.f64 1 (+.f64 (.f64 -1/6 (pow.f64 x 2)) (+.f64 (.f64 1/24 (pow.f64 x 4)) (*.f64 -83/6480 (pow.f64 x 6)))))
(+.f64 1 (fma.f64 -1/6 (.f64 x x) (fma.f64 1/24 (pow.f64 x 4) (.f64 -83/6480 (pow.f64 x 6)))))
(+.f64 (fma.f64 -1/6 (.f64 x x) 1) (fma.f64 1/24 (pow.f64 x 4) (.f64 -83/6480 (pow.f64 x 6))))
(+.f64 1 (fma.f64 1/24 (pow.f64 x 4) (fma.f64 -1/6 (.f64 x x) (.f64 -83/6480 (pow.f64 x 6)))))
(fma.f64 1/24 (pow.f64 x 4) (fma.f64 -83/6480 (pow.f64 x 6) (fma.f64 -1/6 (*.f64 x x) 1)))
(*.f64 (pow.f64 (/.f64 1 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))) 1/3) (cbrt.f64 2))
(*.f64 (cbrt.f64 (/.f64 1 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))) (cbrt.f64 2))
(*.f64 (cbrt.f64 (/.f64 1/2 (cosh.f64 x))) (cbrt.f64 2))
(*.f64 (pow.f64 (/.f64 1 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))) 1/3) (cbrt.f64 2))
(*.f64 (cbrt.f64 (/.f64 1 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))) (cbrt.f64 2))
(*.f64 (cbrt.f64 (/.f64 1/2 (cosh.f64 x))) (cbrt.f64 2))
(*.f64 (pow.f64 (/.f64 1 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))) 1/3) (cbrt.f64 2))
(*.f64 (cbrt.f64 (/.f64 1 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))) (cbrt.f64 2))
(*.f64 (cbrt.f64 (/.f64 1/2 (cosh.f64 x))) (cbrt.f64 2))
(*.f64 (pow.f64 (/.f64 1 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))) 1/3) (cbrt.f64 2))
(*.f64 (cbrt.f64 (/.f64 1 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))) (cbrt.f64 2))
(*.f64 (cbrt.f64 (/.f64 1/2 (cosh.f64 x))) (cbrt.f64 2))
(*.f64 (pow.f64 (/.f64 1 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))) 1/3) (cbrt.f64 2))
(*.f64 (cbrt.f64 (/.f64 1 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))) (cbrt.f64 2))
(*.f64 (cbrt.f64 (/.f64 1/2 (cosh.f64 x))) (cbrt.f64 2))
(*.f64 (pow.f64 (/.f64 1 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))) 1/3) (cbrt.f64 2))
(*.f64 (cbrt.f64 (/.f64 1 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))) (cbrt.f64 2))
(*.f64 (cbrt.f64 (/.f64 1/2 (cosh.f64 x))) (cbrt.f64 2))
(*.f64 (pow.f64 (/.f64 1 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))) 1/3) (cbrt.f64 2))
(*.f64 (cbrt.f64 (/.f64 1 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))) (cbrt.f64 2))
(*.f64 (cbrt.f64 (/.f64 1/2 (cosh.f64 x))) (cbrt.f64 2))
(*.f64 (pow.f64 (/.f64 1 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))) 1/3) (cbrt.f64 2))
(*.f64 (cbrt.f64 (/.f64 1 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))) (cbrt.f64 2))
(*.f64 (cbrt.f64 (/.f64 1/2 (cosh.f64 x))) (cbrt.f64 2))
1
(+.f64 (*.f64 -1/3 (pow.f64 x 2)) 1)
(fma.f64 -1/3 (*.f64 x x) 1)
(fma.f64 (*.f64 x x) -1/3 1)
(fma.f64 x (*.f64 x -1/3) 1)
(+.f64 (.f64 1/9 (pow.f64 x 4)) (+.f64 (.f64 -1/3 (pow.f64 x 2)) 1))
(fma.f64 1/9 (pow.f64 x 4) (fma.f64 -1/3 (*.f64 x x) 1))
(fma.f64 (pow.f64 x 4) 1/9 (fma.f64 (*.f64 x x) -1/3 1))
(fma.f64 x (*.f64 x -1/3) (fma.f64 (pow.f64 x 4) 1/9 1))
(+.f64 (.f64 1/9 (pow.f64 x 4)) (+.f64 (.f64 -1/3 (pow.f64 x 2)) (+.f64 1 (*.f64 -16/405 (pow.f64 x 6)))))
(fma.f64 1/9 (pow.f64 x 4) (+.f64 (fma.f64 -1/3 (.f64 x x) 1) (.f64 (pow.f64 x 6) -16/405)))
(fma.f64 (pow.f64 x 4) 1/9 (fma.f64 (*.f64 x x) -1/3 (fma.f64 (pow.f64 x 6) -16/405 1)))
(fma.f64 (pow.f64 x 4) 1/9 (fma.f64 (pow.f64 x 6) -16/405 (fma.f64 x (*.f64 x -1/3) 1)))
(fma.f64 x (*.f64 x -1/3) (fma.f64 (pow.f64 x 6) -16/405 (fma.f64 (pow.f64 x 4) 1/9 1)))
(*.f64 (pow.f64 (cbrt.f64 2) 2) (pow.f64 (pow.f64 (/.f64 1 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))) 1/3) 2))
(*.f64 (pow.f64 (cbrt.f64 2) 2) (pow.f64 (cbrt.f64 (/.f64 1 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))) 2))
(*.f64 (pow.f64 (cbrt.f64 2) 2) (pow.f64 (cbrt.f64 (/.f64 1/2 (cosh.f64 x))) 2))
(*.f64 (pow.f64 (cbrt.f64 2) 2) (pow.f64 (pow.f64 (/.f64 1 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))) 1/3) 2))
(*.f64 (pow.f64 (cbrt.f64 2) 2) (pow.f64 (cbrt.f64 (/.f64 1 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))) 2))
(*.f64 (pow.f64 (cbrt.f64 2) 2) (pow.f64 (cbrt.f64 (/.f64 1/2 (cosh.f64 x))) 2))
(*.f64 (pow.f64 (cbrt.f64 2) 2) (pow.f64 (pow.f64 (/.f64 1 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))) 1/3) 2))
(*.f64 (pow.f64 (cbrt.f64 2) 2) (pow.f64 (cbrt.f64 (/.f64 1 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))) 2))
(*.f64 (pow.f64 (cbrt.f64 2) 2) (pow.f64 (cbrt.f64 (/.f64 1/2 (cosh.f64 x))) 2))
(*.f64 (pow.f64 (cbrt.f64 2) 2) (pow.f64 (pow.f64 (/.f64 1 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))) 1/3) 2))
(*.f64 (pow.f64 (cbrt.f64 2) 2) (pow.f64 (cbrt.f64 (/.f64 1 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))) 2))
(*.f64 (pow.f64 (cbrt.f64 2) 2) (pow.f64 (cbrt.f64 (/.f64 1/2 (cosh.f64 x))) 2))
(*.f64 (pow.f64 (cbrt.f64 2) 2) (pow.f64 (pow.f64 (/.f64 1 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))) 1/3) 2))
(*.f64 (pow.f64 (cbrt.f64 2) 2) (pow.f64 (cbrt.f64 (/.f64 1 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))) 2))
(*.f64 (pow.f64 (cbrt.f64 2) 2) (pow.f64 (cbrt.f64 (/.f64 1/2 (cosh.f64 x))) 2))
(*.f64 (pow.f64 (cbrt.f64 2) 2) (pow.f64 (pow.f64 (/.f64 1 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))) 1/3) 2))
(*.f64 (pow.f64 (cbrt.f64 2) 2) (pow.f64 (cbrt.f64 (/.f64 1 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))) 2))
(*.f64 (pow.f64 (cbrt.f64 2) 2) (pow.f64 (cbrt.f64 (/.f64 1/2 (cosh.f64 x))) 2))
(*.f64 (pow.f64 (cbrt.f64 2) 2) (pow.f64 (pow.f64 (/.f64 1 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))) 1/3) 2))
(*.f64 (pow.f64 (cbrt.f64 2) 2) (pow.f64 (cbrt.f64 (/.f64 1 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))) 2))
(*.f64 (pow.f64 (cbrt.f64 2) 2) (pow.f64 (cbrt.f64 (/.f64 1/2 (cosh.f64 x))) 2))
(*.f64 (pow.f64 (cbrt.f64 2) 2) (pow.f64 (pow.f64 (/.f64 1 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))) 1/3) 2))
(*.f64 (pow.f64 (cbrt.f64 2) 2) (pow.f64 (cbrt.f64 (/.f64 1 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))) 2))
(*.f64 (pow.f64 (cbrt.f64 2) 2) (pow.f64 (cbrt.f64 (/.f64 1/2 (cosh.f64 x))) 2))
1
(+.f64 1 (*.f64 -1/2 (pow.f64 x 2)))
(+.f64 1 (.f64 (.f64 x x) -1/2))
(fma.f64 (*.f64 x x) -1/2 1)
(fma.f64 x (*.f64 x -1/2) 1)
(+.f64 1 (+.f64 (.f64 -1/2 (pow.f64 x 2)) (.f64 5/24 (pow.f64 x 4))))
(+.f64 1 (fma.f64 -1/2 (.f64 x x) (.f64 (pow.f64 x 4) 5/24)))
(+.f64 1 (fma.f64 (pow.f64 x 4) 5/24 (.f64 (.f64 x x) -1/2)))
(fma.f64 x (*.f64 x -1/2) (fma.f64 (pow.f64 x 4) 5/24 1))
(+.f64 1 (+.f64 (.f64 -1/2 (pow.f64 x 2)) (+.f64 (.f64 -61/720 (pow.f64 x 6)) (*.f64 5/24 (pow.f64 x 4)))))
(+.f64 1 (fma.f64 -1/2 (.f64 x x) (fma.f64 -61/720 (pow.f64 x 6) (.f64 (pow.f64 x 4) 5/24))))
(+.f64 (fma.f64 (.f64 x x) -1/2 1) (fma.f64 (pow.f64 x 4) 5/24 (.f64 (pow.f64 x 6) -61/720)))
(+.f64 (fma.f64 x (.f64 x -1/2) 1) (fma.f64 (pow.f64 x 4) 5/24 (.f64 (pow.f64 x 6) -61/720)))
(fma.f64 x (*.f64 x -1/2) (fma.f64 (pow.f64 x 6) -61/720 (fma.f64 (pow.f64 x 4) 5/24 1)))
(/.f64 2 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))
(/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(/.f64 1 (cosh.f64 x))
(/.f64 2 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))
(/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(/.f64 1 (cosh.f64 x))
(/.f64 2 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))
(/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(/.f64 1 (cosh.f64 x))
(/.f64 2 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))
(/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(/.f64 1 (cosh.f64 x))
(/.f64 2 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))
(/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(/.f64 1 (cosh.f64 x))
(/.f64 2 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))
(/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(/.f64 1 (cosh.f64 x))
(/.f64 2 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))
(/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(/.f64 1 (cosh.f64 x))
(/.f64 2 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))
(/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(/.f64 1 (cosh.f64 x))
1
(+.f64 1 (*.f64 -1/2 (pow.f64 x 2)))
(+.f64 1 (.f64 (.f64 x x) -1/2))
(fma.f64 (*.f64 x x) -1/2 1)
(fma.f64 x (*.f64 x -1/2) 1)
(+.f64 1 (+.f64 (.f64 -1/2 (pow.f64 x 2)) (.f64 5/24 (pow.f64 x 4))))
(+.f64 1 (fma.f64 -1/2 (.f64 x x) (.f64 (pow.f64 x 4) 5/24)))
(+.f64 1 (fma.f64 (pow.f64 x 4) 5/24 (.f64 (.f64 x x) -1/2)))
(fma.f64 x (*.f64 x -1/2) (fma.f64 (pow.f64 x 4) 5/24 1))
(+.f64 1 (+.f64 (.f64 -1/2 (pow.f64 x 2)) (+.f64 (.f64 -61/720 (pow.f64 x 6)) (*.f64 5/24 (pow.f64 x 4)))))
(+.f64 1 (fma.f64 -1/2 (.f64 x x) (fma.f64 -61/720 (pow.f64 x 6) (.f64 (pow.f64 x 4) 5/24))))
(+.f64 (fma.f64 (.f64 x x) -1/2 1) (fma.f64 (pow.f64 x 4) 5/24 (.f64 (pow.f64 x 6) -61/720)))
(+.f64 (fma.f64 x (.f64 x -1/2) 1) (fma.f64 (pow.f64 x 4) 5/24 (.f64 (pow.f64 x 6) -61/720)))
(fma.f64 x (*.f64 x -1/2) (fma.f64 (pow.f64 x 6) -61/720 (fma.f64 (pow.f64 x 4) 5/24 1)))
(.f64 (pow.f64 (cbrt.f64 2) 2) (.f64 (pow.f64 (/.f64 1 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))) 1/3) (*.f64 (cbrt.f64 2) (pow.f64 (pow.f64 (/.f64 1 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))) 1/3) 2))))
(/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(/.f64 1 (cosh.f64 x))
(.f64 (pow.f64 (cbrt.f64 2) 2) (.f64 (pow.f64 (/.f64 1 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))) 1/3) (*.f64 (cbrt.f64 2) (pow.f64 (pow.f64 (/.f64 1 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))) 1/3) 2))))
(/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(/.f64 1 (cosh.f64 x))
(.f64 (pow.f64 (cbrt.f64 2) 2) (.f64 (pow.f64 (/.f64 1 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))) 1/3) (*.f64 (cbrt.f64 2) (pow.f64 (pow.f64 (/.f64 1 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))) 1/3) 2))))
(/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(/.f64 1 (cosh.f64 x))
(.f64 (pow.f64 (cbrt.f64 2) 2) (.f64 (pow.f64 (/.f64 1 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))) 1/3) (*.f64 (cbrt.f64 2) (pow.f64 (pow.f64 (/.f64 1 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))) 1/3) 2))))
(/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(/.f64 1 (cosh.f64 x))
(.f64 (pow.f64 (cbrt.f64 2) 2) (.f64 (pow.f64 (/.f64 1 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))) 1/3) (*.f64 (cbrt.f64 2) (pow.f64 (pow.f64 (/.f64 1 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))) 1/3) 2))))
(/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(/.f64 1 (cosh.f64 x))
(.f64 (pow.f64 (cbrt.f64 2) 2) (.f64 (pow.f64 (/.f64 1 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))) 1/3) (*.f64 (cbrt.f64 2) (pow.f64 (pow.f64 (/.f64 1 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))) 1/3) 2))))
(/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(/.f64 1 (cosh.f64 x))
(.f64 (pow.f64 (cbrt.f64 2) 2) (.f64 (pow.f64 (/.f64 1 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))) 1/3) (*.f64 (cbrt.f64 2) (pow.f64 (pow.f64 (/.f64 1 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))) 1/3) 2))))
(/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(/.f64 1 (cosh.f64 x))
(.f64 (pow.f64 (cbrt.f64 2) 2) (.f64 (pow.f64 (/.f64 1 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))) 1/3) (*.f64 (cbrt.f64 2) (pow.f64 (pow.f64 (/.f64 1 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))) 1/3) 2))))
(/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(/.f64 1 (cosh.f64 x))
(-.f64 (+.f64 1 (/.f64 1 (cbrt.f64 (cosh.f64 x)))) 1)
(+.f64 (+.f64 1 (/.f64 1 (cbrt.f64 (cosh.f64 x)))) -1)
(+.f64 (/.f64 1 (cbrt.f64 (cosh.f64 x))) 0)
(/.f64 1 (cbrt.f64 (cosh.f64 x)))
(*.f64 (/.f64 1 (cbrt.f64 (cosh.f64 x))) 1)
(+.f64 (+.f64 1 (/.f64 1 (cbrt.f64 (cosh.f64 x)))) -1)
(+.f64 (/.f64 1 (cbrt.f64 (cosh.f64 x))) 0)
(/.f64 1 (cbrt.f64 (cosh.f64 x)))
(*.f64 1 (/.f64 1 (cbrt.f64 (cosh.f64 x))))
(+.f64 (+.f64 1 (/.f64 1 (cbrt.f64 (cosh.f64 x)))) -1)
(+.f64 (/.f64 1 (cbrt.f64 (cosh.f64 x))) 0)
(/.f64 1 (cbrt.f64 (cosh.f64 x)))
(*.f64 (cbrt.f64 (pow.f64 (/.f64 1 (cbrt.f64 (cosh.f64 x))) 2)) (cbrt.f64 (/.f64 1 (cbrt.f64 (cosh.f64 x)))))
(*.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 (cosh.f64 x)) 2))) (cbrt.f64 (/.f64 1 (cbrt.f64 (cosh.f64 x)))))
(*.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (cosh.f64 x) -2))) (cbrt.f64 (/.f64 1 (cbrt.f64 (cosh.f64 x)))))
(*.f64 (cbrt.f64 2) (cbrt.f64 (/.f64 1/2 (cosh.f64 x))))
(*.f64 (cbrt.f64 (/.f64 1 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))) (cbrt.f64 2))
(*.f64 (cbrt.f64 (/.f64 1/2 (cosh.f64 x))) (cbrt.f64 2))
(*.f64 (cbrt.f64 2) (pow.f64 (/.f64 1/2 (cosh.f64 x)) 1/3))
(*.f64 (cbrt.f64 (/.f64 1 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))) (cbrt.f64 2))
(*.f64 (cbrt.f64 (/.f64 1/2 (cosh.f64 x))) (cbrt.f64 2))
(.f64 (cbrt.f64 2) (/.f64 1 (cbrt.f64 (.f64 2 (cosh.f64 x)))))
(/.f64 (cbrt.f64 2) (cbrt.f64 (*.f64 2 (cosh.f64 x))))
(*.f64 (cbrt.f64 (/.f64 1 (cbrt.f64 (cosh.f64 x)))) (cbrt.f64 (pow.f64 (/.f64 1 (cbrt.f64 (cosh.f64 x))) 2)))
(*.f64 (cbrt.f64 (pow.f64 (/.f64 1 (cbrt.f64 (cosh.f64 x))) 2)) (cbrt.f64 (/.f64 1 (cbrt.f64 (cosh.f64 x)))))
(*.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 (cosh.f64 x)) 2))) (cbrt.f64 (/.f64 1 (cbrt.f64 (cosh.f64 x)))))
(*.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (cosh.f64 x) -2))) (cbrt.f64 (/.f64 1 (cbrt.f64 (cosh.f64 x)))))
(*.f64 (pow.f64 (/.f64 1 (cosh.f64 x)) 1/6) (pow.f64 (/.f64 1 (cosh.f64 x)) 1/6))
(+.f64 (+.f64 1 (/.f64 1 (cbrt.f64 (cosh.f64 x)))) -1)
(+.f64 (/.f64 1 (cbrt.f64 (cosh.f64 x))) 0)
(/.f64 1 (cbrt.f64 (cosh.f64 x)))
(*.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (/.f64 1 (cbrt.f64 (cosh.f64 x))) 4))) (sqrt.f64 (cbrt.f64 (pow.f64 (/.f64 1 (cbrt.f64 (cosh.f64 x))) 2))))
(*.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (/.f64 1 (cbrt.f64 (cosh.f64 x))) 4))) (sqrt.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 (cosh.f64 x)) 2)))))
(*.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (pow.f64 (cosh.f64 x) -2)) 2))) (sqrt.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (cosh.f64 x) -2)))))
(*.f64 (pow.f64 1 1/3) (/.f64 1 (cbrt.f64 (cosh.f64 x))))
(+.f64 (+.f64 1 (/.f64 1 (cbrt.f64 (cosh.f64 x)))) -1)
(+.f64 (/.f64 1 (cbrt.f64 (cosh.f64 x))) 0)
(/.f64 1 (cbrt.f64 (cosh.f64 x)))
(*.f64 (pow.f64 (/.f64 1 (sqrt.f64 (cosh.f64 x))) 1/3) (pow.f64 (/.f64 1 (sqrt.f64 (cosh.f64 x))) 1/3))
(*.f64 (cbrt.f64 (/.f64 1 (sqrt.f64 (cosh.f64 x)))) (cbrt.f64 (/.f64 1 (sqrt.f64 (cosh.f64 x)))))
(pow.f64 (pow.f64 (/.f64 1 (sqrt.f64 (cosh.f64 x))) 1/6) 4)
(/.f64 1 (cbrt.f64 (cosh.f64 x)))
(+.f64 (+.f64 1 (/.f64 1 (cbrt.f64 (cosh.f64 x)))) -1)
(+.f64 (/.f64 1 (cbrt.f64 (cosh.f64 x))) 0)
(/.f64 (cbrt.f64 2) (cbrt.f64 (*.f64 2 (cosh.f64 x))))
(.f64 (cbrt.f64 2) (/.f64 1 (cbrt.f64 (.f64 2 (cosh.f64 x)))))
(/.f64 (cbrt.f64 -2) (cbrt.f64 (*.f64 (cosh.f64 x) -2)))
(/.f64 (neg.f64 (cbrt.f64 2)) (neg.f64 (cbrt.f64 (*.f64 2 (cosh.f64 x)))))
(.f64 (cbrt.f64 2) (/.f64 1 (cbrt.f64 (.f64 2 (cosh.f64 x)))))
(/.f64 (cbrt.f64 2) (cbrt.f64 (*.f64 2 (cosh.f64 x))))
(pow.f64 (/.f64 1 (cosh.f64 x)) 1/3)
(+.f64 (+.f64 1 (/.f64 1 (cbrt.f64 (cosh.f64 x)))) -1)
(+.f64 (/.f64 1 (cbrt.f64 (cosh.f64 x))) 0)
(/.f64 1 (cbrt.f64 (cosh.f64 x)))
(pow.f64 (/.f64 1 (cbrt.f64 (cosh.f64 x))) 1)
(+.f64 (+.f64 1 (/.f64 1 (cbrt.f64 (cosh.f64 x)))) -1)
(+.f64 (/.f64 1 (cbrt.f64 (cosh.f64 x))) 0)
(/.f64 1 (cbrt.f64 (cosh.f64 x)))
(pow.f64 (pow.f64 (/.f64 1 (cbrt.f64 (cosh.f64 x))) 2) 1/2)
(+.f64 (+.f64 1 (/.f64 1 (cbrt.f64 (cosh.f64 x)))) -1)
(+.f64 (/.f64 1 (cbrt.f64 (cosh.f64 x))) 0)
(/.f64 1 (cbrt.f64 (cosh.f64 x)))
(pow.f64 (cbrt.f64 (/.f64 1 (cbrt.f64 (cosh.f64 x)))) 3)
(+.f64 (+.f64 1 (/.f64 1 (cbrt.f64 (cosh.f64 x)))) -1)
(+.f64 (/.f64 1 (cbrt.f64 (cosh.f64 x))) 0)
(/.f64 1 (cbrt.f64 (cosh.f64 x)))
(pow.f64 (pow.f64 (/.f64 1 (cosh.f64 x)) 1/6) 2)
(+.f64 (+.f64 1 (/.f64 1 (cbrt.f64 (cosh.f64 x)))) -1)
(+.f64 (/.f64 1 (cbrt.f64 (cosh.f64 x))) 0)
(/.f64 1 (cbrt.f64 (cosh.f64 x)))
(sqrt.f64 (pow.f64 (/.f64 1 (cbrt.f64 (cosh.f64 x))) 2))
(+.f64 (+.f64 1 (/.f64 1 (cbrt.f64 (cosh.f64 x)))) -1)
(+.f64 (/.f64 1 (cbrt.f64 (cosh.f64 x))) 0)
(/.f64 1 (cbrt.f64 (cosh.f64 x)))
(fabs.f64 (/.f64 1 (cbrt.f64 (cosh.f64 x))))
(+.f64 (+.f64 1 (/.f64 1 (cbrt.f64 (cosh.f64 x)))) -1)
(+.f64 (/.f64 1 (cbrt.f64 (cosh.f64 x))) 0)
(/.f64 1 (cbrt.f64 (cosh.f64 x)))
(log.f64 (exp.f64 (/.f64 1 (cbrt.f64 (cosh.f64 x)))))
(+.f64 (+.f64 1 (/.f64 1 (cbrt.f64 (cosh.f64 x)))) -1)
(+.f64 (/.f64 1 (cbrt.f64 (cosh.f64 x))) 0)
(/.f64 1 (cbrt.f64 (cosh.f64 x)))
(expm1.f64 (log1p.f64 (/.f64 1 (cbrt.f64 (cosh.f64 x)))))
(+.f64 (+.f64 1 (/.f64 1 (cbrt.f64 (cosh.f64 x)))) -1)
(+.f64 (/.f64 1 (cbrt.f64 (cosh.f64 x))) 0)
(/.f64 1 (cbrt.f64 (cosh.f64 x)))
(log1p.f64 (expm1.f64 (/.f64 1 (cbrt.f64 (cosh.f64 x)))))
(+.f64 (+.f64 1 (/.f64 1 (cbrt.f64 (cosh.f64 x)))) -1)
(+.f64 (/.f64 1 (cbrt.f64 (cosh.f64 x))) 0)
(/.f64 1 (cbrt.f64 (cosh.f64 x)))
(exp.f64 (*.f64 (neg.f64 (log.f64 (cosh.f64 x))) 1/3))
(+.f64 (+.f64 1 (/.f64 1 (cbrt.f64 (cosh.f64 x)))) -1)
(+.f64 (/.f64 1 (cbrt.f64 (cosh.f64 x))) 0)
(/.f64 1 (cbrt.f64 (cosh.f64 x)))
(-.f64 (+.f64 1 (pow.f64 (/.f64 1 (cbrt.f64 (cosh.f64 x))) 2)) 1)
(+.f64 1 (-.f64 (pow.f64 (/.f64 1 (cbrt.f64 (cosh.f64 x))) 2) 1))
(+.f64 (/.f64 1 (pow.f64 (cbrt.f64 (cosh.f64 x)) 2)) 0)
(cbrt.f64 (pow.f64 (cosh.f64 x) -2))
(/.f64 (cbrt.f64 4) (pow.f64 (cbrt.f64 (*.f64 2 (cosh.f64 x))) 2))
(/.f64 (.f64 (cbrt.f64 2) (/.f64 1 (cbrt.f64 (cosh.f64 x)))) (cbrt.f64 (.f64 2 (cosh.f64 x))))
(/.f64 (cbrt.f64 2) (.f64 (cbrt.f64 (.f64 2 (cosh.f64 x))) (cbrt.f64 (cosh.f64 x))))
(/.f64 (cbrt.f64 2) (.f64 (cbrt.f64 (cosh.f64 x)) (cbrt.f64 (.f64 2 (cosh.f64 x)))))
(/.f64 (.f64 (/.f64 1 (cbrt.f64 (cosh.f64 x))) (cbrt.f64 2)) (cbrt.f64 (.f64 2 (cosh.f64 x))))
(/.f64 (.f64 (cbrt.f64 2) (/.f64 1 (cbrt.f64 (cosh.f64 x)))) (cbrt.f64 (.f64 2 (cosh.f64 x))))
(/.f64 (cbrt.f64 2) (.f64 (cbrt.f64 (.f64 2 (cosh.f64 x))) (cbrt.f64 (cosh.f64 x))))
(/.f64 (cbrt.f64 2) (.f64 (cbrt.f64 (cosh.f64 x)) (cbrt.f64 (.f64 2 (cosh.f64 x)))))
(pow.f64 (/.f64 1 (cosh.f64 x)) 2/3)
(+.f64 1 (-.f64 (pow.f64 (/.f64 1 (cbrt.f64 (cosh.f64 x))) 2) 1))
(+.f64 (/.f64 1 (pow.f64 (cbrt.f64 (cosh.f64 x)) 2)) 0)
(cbrt.f64 (pow.f64 (cosh.f64 x) -2))
(pow.f64 (/.f64 1 (cbrt.f64 (cosh.f64 x))) 2)
(+.f64 1 (-.f64 (pow.f64 (/.f64 1 (cbrt.f64 (cosh.f64 x))) 2) 1))
(+.f64 (/.f64 1 (pow.f64 (cbrt.f64 (cosh.f64 x)) 2)) 0)
(cbrt.f64 (pow.f64 (cosh.f64 x) -2))
(pow.f64 (pow.f64 (/.f64 1 (cbrt.f64 (cosh.f64 x))) 2) 1)
(+.f64 1 (-.f64 (pow.f64 (/.f64 1 (cbrt.f64 (cosh.f64 x))) 2) 1))
(+.f64 (/.f64 1 (pow.f64 (cbrt.f64 (cosh.f64 x)) 2)) 0)
(cbrt.f64 (pow.f64 (cosh.f64 x) -2))
(pow.f64 (/.f64 1 (pow.f64 (cosh.f64 x) 2)) 1/3)
(+.f64 1 (-.f64 (pow.f64 (/.f64 1 (cbrt.f64 (cosh.f64 x))) 2) 1))
(+.f64 (/.f64 1 (pow.f64 (cbrt.f64 (cosh.f64 x)) 2)) 0)
(cbrt.f64 (pow.f64 (cosh.f64 x) -2))
(pow.f64 (cbrt.f64 (pow.f64 (/.f64 1 (cbrt.f64 (cosh.f64 x))) 2)) 3)
(+.f64 1 (-.f64 (pow.f64 (/.f64 1 (cbrt.f64 (cosh.f64 x))) 2) 1))
(+.f64 (/.f64 1 (pow.f64 (cbrt.f64 (cosh.f64 x)) 2)) 0)
(cbrt.f64 (pow.f64 (cosh.f64 x) -2))
(sqrt.f64 (pow.f64 (/.f64 1 (cbrt.f64 (cosh.f64 x))) 4))
(+.f64 1 (-.f64 (pow.f64 (/.f64 1 (cbrt.f64 (cosh.f64 x))) 2) 1))
(+.f64 (/.f64 1 (pow.f64 (cbrt.f64 (cosh.f64 x)) 2)) 0)
(cbrt.f64 (pow.f64 (cosh.f64 x) -2))
(log.f64 (exp.f64 (pow.f64 (/.f64 1 (cbrt.f64 (cosh.f64 x))) 2)))
(+.f64 1 (-.f64 (pow.f64 (/.f64 1 (cbrt.f64 (cosh.f64 x))) 2) 1))
(+.f64 (/.f64 1 (pow.f64 (cbrt.f64 (cosh.f64 x)) 2)) 0)
(cbrt.f64 (pow.f64 (cosh.f64 x) -2))
(cbrt.f64 (/.f64 1 (pow.f64 (cosh.f64 x) 2)))
(+.f64 1 (-.f64 (pow.f64 (/.f64 1 (cbrt.f64 (cosh.f64 x))) 2) 1))
(+.f64 (/.f64 1 (pow.f64 (cbrt.f64 (cosh.f64 x)) 2)) 0)
(cbrt.f64 (pow.f64 (cosh.f64 x) -2))
(expm1.f64 (log1p.f64 (pow.f64 (/.f64 1 (cbrt.f64 (cosh.f64 x))) 2)))
(+.f64 1 (-.f64 (pow.f64 (/.f64 1 (cbrt.f64 (cosh.f64 x))) 2) 1))
(+.f64 (/.f64 1 (pow.f64 (cbrt.f64 (cosh.f64 x)) 2)) 0)
(cbrt.f64 (pow.f64 (cosh.f64 x) -2))
(log1p.f64 (expm1.f64 (pow.f64 (/.f64 1 (cbrt.f64 (cosh.f64 x))) 2)))
(+.f64 1 (-.f64 (pow.f64 (/.f64 1 (cbrt.f64 (cosh.f64 x))) 2) 1))
(+.f64 (/.f64 1 (pow.f64 (cbrt.f64 (cosh.f64 x)) 2)) 0)
(cbrt.f64 (pow.f64 (cosh.f64 x) -2))
(exp.f64 (.f64 2 (.f64 (neg.f64 (log.f64 (cosh.f64 x))) 1/3)))
(+.f64 1 (-.f64 (pow.f64 (/.f64 1 (cbrt.f64 (cosh.f64 x))) 2) 1))
(+.f64 (/.f64 1 (pow.f64 (cbrt.f64 (cosh.f64 x)) 2)) 0)
(cbrt.f64 (pow.f64 (cosh.f64 x) -2))
(-.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 2 (/.f64 1/2 (cosh.f64 x)))
(/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(/.f64 1 (cosh.f64 x))
(*.f64 (/.f64 1 (cosh.f64 x)) 1)
(/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(/.f64 1 (cosh.f64 x))
(*.f64 (/.f64 1 (cbrt.f64 (cosh.f64 x))) (pow.f64 (/.f64 1 (cbrt.f64 (cosh.f64 x))) 2))
(/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(/.f64 1 (cosh.f64 x))
(*.f64 (pow.f64 (/.f64 1 (cbrt.f64 (cosh.f64 x))) 2) (/.f64 1 (cbrt.f64 (cosh.f64 x))))
(/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(/.f64 1 (cosh.f64 x))
(*.f64 1 (/.f64 1 (cosh.f64 x)))
(/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(/.f64 1 (cosh.f64 x))
(.f64 (cbrt.f64 (pow.f64 (/.f64 1 (cbrt.f64 (cosh.f64 x))) 2)) (.f64 (cbrt.f64 (/.f64 1 (cbrt.f64 (cosh.f64 x)))) (pow.f64 (/.f64 1 (cbrt.f64 (cosh.f64 x))) 2)))
(.f64 (cbrt.f64 (pow.f64 (/.f64 1 (cbrt.f64 (cosh.f64 x))) 2)) (.f64 (pow.f64 (/.f64 1 (cbrt.f64 (cosh.f64 x))) 2) (cbrt.f64 (/.f64 1 (cbrt.f64 (cosh.f64 x))))))
(*.f64 (cbrt.f64 (/.f64 1 (cbrt.f64 (cosh.f64 x)))) (pow.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 (cosh.f64 x)) 2))) 4))
(*.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (cosh.f64 x) -2))) (pow.f64 (cbrt.f64 (/.f64 1 (cbrt.f64 (cosh.f64 x)))) 7))
(.f64 (cbrt.f64 (pow.f64 (/.f64 1 (cbrt.f64 (cosh.f64 x))) 4)) (.f64 (cbrt.f64 (pow.f64 (/.f64 1 (cbrt.f64 (cosh.f64 x))) 2)) (/.f64 1 (cbrt.f64 (cosh.f64 x)))))
(.f64 (cbrt.f64 (pow.f64 (/.f64 1 (cbrt.f64 (cosh.f64 x))) 4)) (.f64 (/.f64 1 (cbrt.f64 (cosh.f64 x))) (cbrt.f64 (pow.f64 (/.f64 1 (cbrt.f64 (cosh.f64 x))) 2))))
(*.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 (cosh.f64 x)) 2))) (/.f64 (cbrt.f64 (pow.f64 (/.f64 1 (cbrt.f64 (cosh.f64 x))) 4)) (cbrt.f64 (cosh.f64 x))))
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (pow.f64 (cosh.f64 x) -2)) 2)) (pow.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (cosh.f64 x) -2))) 5/2))
(*.f64 (/.f64 1 (sqrt.f64 (cosh.f64 x))) (/.f64 1 (sqrt.f64 (cosh.f64 x))))
(/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(/.f64 1 (cosh.f64 x))
(.f64 (pow.f64 (/.f64 1 (cosh.f64 x)) 1/6) (.f64 (pow.f64 (/.f64 1 (cosh.f64 x)) 1/6) (pow.f64 (/.f64 1 (cbrt.f64 (cosh.f64 x))) 2)))
(/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(/.f64 1 (cosh.f64 x))
(.f64 -2 (/.f64 1 (.f64 (cosh.f64 x) -2)))
(/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(/.f64 1 (cosh.f64 x))
(*.f64 (/.f64 1/2 (cosh.f64 x)) 2)
(/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(/.f64 1 (cosh.f64 x))
(*.f64 (pow.f64 (pow.f64 (/.f64 1 (cosh.f64 x)) 1/6) 3) (pow.f64 (pow.f64 (/.f64 1 (cosh.f64 x)) 1/6) 3))
(/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(/.f64 1 (cosh.f64 x))
(.f64 (.f64 (/.f64 1 (cbrt.f64 (cosh.f64 x))) (cbrt.f64 (pow.f64 (/.f64 1 (cbrt.f64 (cosh.f64 x))) 4))) (cbrt.f64 (pow.f64 (/.f64 1 (cbrt.f64 (cosh.f64 x))) 2)))
(.f64 (cbrt.f64 (pow.f64 (/.f64 1 (cbrt.f64 (cosh.f64 x))) 4)) (.f64 (/.f64 1 (cbrt.f64 (cosh.f64 x))) (cbrt.f64 (pow.f64 (/.f64 1 (cbrt.f64 (cosh.f64 x))) 2))))
(*.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 (cosh.f64 x)) 2))) (/.f64 (cbrt.f64 (pow.f64 (/.f64 1 (cbrt.f64 (cosh.f64 x))) 4)) (cbrt.f64 (cosh.f64 x))))
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (pow.f64 (cosh.f64 x) -2)) 2)) (pow.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (cosh.f64 x) -2))) 5/2))
(.f64 (.f64 (pow.f64 (/.f64 1 (cbrt.f64 (cosh.f64 x))) 2) (cbrt.f64 (pow.f64 (/.f64 1 (cbrt.f64 (cosh.f64 x))) 2))) (cbrt.f64 (/.f64 1 (cbrt.f64 (cosh.f64 x)))))
(.f64 (cbrt.f64 (pow.f64 (/.f64 1 (cbrt.f64 (cosh.f64 x))) 2)) (.f64 (pow.f64 (/.f64 1 (cbrt.f64 (cosh.f64 x))) 2) (cbrt.f64 (/.f64 1 (cbrt.f64 (cosh.f64 x))))))
(*.f64 (cbrt.f64 (/.f64 1 (cbrt.f64 (cosh.f64 x)))) (pow.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 (cosh.f64 x)) 2))) 4))
(*.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (cosh.f64 x) -2))) (pow.f64 (cbrt.f64 (/.f64 1 (cbrt.f64 (cosh.f64 x)))) 7))
(.f64 (.f64 (pow.f64 (/.f64 1 (cbrt.f64 (cosh.f64 x))) 2) (pow.f64 (/.f64 1 (cosh.f64 x)) 1/6)) (pow.f64 (/.f64 1 (cosh.f64 x)) 1/6))
(/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(/.f64 1 (cosh.f64 x))
(pow.f64 (cosh.f64 x) -1)
(/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(/.f64 1 (cosh.f64 x))
(pow.f64 (/.f64 1 (cosh.f64 x)) 1)
(/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(/.f64 1 (cosh.f64 x))
(pow.f64 (/.f64 1 (cbrt.f64 (cosh.f64 x))) 3)
(/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(/.f64 1 (cosh.f64 x))
(pow.f64 (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))
(pow.f64 (/.f64 1 (sqrt.f64 (cosh.f64 x))) 2)
(/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(/.f64 1 (cosh.f64 x))
(sqrt.f64 (/.f64 1 (pow.f64 (cosh.f64 x) 2)))
(sqrt.f64 (pow.f64 (cosh.f64 x) -2))
(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))
(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))
(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))
(-.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 2 (*.f64 2 (cosh.f64 x)))
(/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(/.f64 1 (cosh.f64 x))
(/.f64 2 (neg.f64 (*.f64 (cosh.f64 x) -2)))
(/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(/.f64 1 (cosh.f64 x))
(/.f64 1 (cosh.f64 x))
(/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(/.f64 (/.f64 1 (sqrt.f64 (cosh.f64 x))) (sqrt.f64 (cosh.f64 x)))
(/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(/.f64 1 (cosh.f64 x))
(/.f64 -2 (*.f64 (cosh.f64 x) -2))
(/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(/.f64 1 (cosh.f64 x))
(/.f64 -1 (neg.f64 (cosh.f64 x)))
(/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(/.f64 1 (cosh.f64 x))
(/.f64 (pow.f64 (cbrt.f64 2) 3) (*.f64 2 (cosh.f64 x)))
(/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(/.f64 1 (cosh.f64 x))
(/.f64 (/.f64 2 (cosh.f64 x)) 2)
(/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(/.f64 1 (cosh.f64 x))
(/.f64 (/.f64 2 (sqrt.f64 (.f64 2 (cosh.f64 x)))) (sqrt.f64 (.f64 2 (cosh.f64 x))))
(/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(/.f64 1 (cosh.f64 x))
(/.f64 (/.f64 2 (pow.f64 (cbrt.f64 (.f64 2 (cosh.f64 x))) 2)) (cbrt.f64 (.f64 2 (cosh.f64 x))))
(/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(/.f64 1 (cosh.f64 x))
(/.f64 (/.f64 1 (pow.f64 (cbrt.f64 (cosh.f64 x)) 2)) (cbrt.f64 (cosh.f64 x)))
(/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(/.f64 1 (cosh.f64 x))
(/.f64 (.f64 (cbrt.f64 2) (pow.f64 (/.f64 1 (cbrt.f64 (cosh.f64 x))) 2)) (cbrt.f64 (.f64 2 (cosh.f64 x))))
(.f64 (/.f64 (cbrt.f64 2) (cbrt.f64 (.f64 2 (cosh.f64 x)))) (/.f64 1 (pow.f64 (cbrt.f64 (cosh.f64 x)) 2)))
(.f64 (cbrt.f64 2) (/.f64 (cbrt.f64 (pow.f64 (cosh.f64 x) -2)) (cbrt.f64 (.f64 2 (cosh.f64 x)))))
(/.f64 (.f64 (pow.f64 (/.f64 1 (cbrt.f64 (cosh.f64 x))) 2) (cbrt.f64 2)) (cbrt.f64 (.f64 2 (cosh.f64 x))))
(/.f64 (.f64 (cbrt.f64 2) (pow.f64 (/.f64 1 (cbrt.f64 (cosh.f64 x))) 2)) (cbrt.f64 (.f64 2 (cosh.f64 x))))
(.f64 (/.f64 (cbrt.f64 2) (cbrt.f64 (.f64 2 (cosh.f64 x)))) (/.f64 1 (pow.f64 (cbrt.f64 (cosh.f64 x)) 2)))
(.f64 (cbrt.f64 2) (/.f64 (cbrt.f64 (pow.f64 (cosh.f64 x) -2)) (cbrt.f64 (.f64 2 (cosh.f64 x)))))
(pow.f64 (cosh.f64 x) -1)
(/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(/.f64 1 (cosh.f64 x))
(pow.f64 (/.f64 1 (cosh.f64 x)) 1)
(/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(/.f64 1 (cosh.f64 x))
(pow.f64 (/.f64 1 (cbrt.f64 (cosh.f64 x))) 3)
(/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(/.f64 1 (cosh.f64 x))
(pow.f64 (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))
(pow.f64 (/.f64 1 (sqrt.f64 (cosh.f64 x))) 2)
(/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(/.f64 1 (cosh.f64 x))
(sqrt.f64 (/.f64 1 (pow.f64 (cosh.f64 x) 2)))
(sqrt.f64 (pow.f64 (cosh.f64 x) -2))
(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))
(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))
(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))

localize6.0ms (0.2%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 19 to 10 computations (47.4% saved)

series6.0ms (0.2%)

Counts

1 → 12

Calls

3 calls:

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

Compiler

Compiled 460 to 405 computations (12% saved)

rewrite45.0ms (1.6%)

Algorithm

1×	batch-egg-rewrite

Rules

671×	`pow1_binary64`
628×	`add-log-exp_binary64`
627×	`log1p-expm1-u_binary64`
627×	`expm1-log1p-u_binary64`
616×	`add-exp-log_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	7	10
1	145	8
2	1759	8

Stop Event

1×	node limit

Counts

1 → 33

Calls

Call 1

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

Outputs

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

simplify58.0ms (2.1%)

Algorithm

1×	egg-herbie

Rules

537×	`fma-neg_binary64`
372×	`associate-l_binary64`
360×	`associate-/r*_binary64`
350×	`cancel-sign-sub-inv_binary64`
326×	`associate-r_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	96	602
1	224	530
2	671	512
3	3469	512

Stop Event

1×	node limit

Counts

45 → 49

Calls

Call 1

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

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

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

Compiler

Compiled 570 to 385 computations (32.5% saved)

rewrite36.0ms (1.3%)

Algorithm

1×	batch-egg-rewrite

Rules

461×	`pow1_binary64`
448×	`add-sqr-sqrt_binary64`
438×	`*-un-lft-identity_binary64`
428×	`add-log-exp_binary64`
426×	`log1p-expm1-u_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	6
1	102	6
2	1198	6

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

simplify37.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

642×	`associate-/l/_binary64`
377×	`fma-def_binary64`
306×	`associate-/r/_binary64`
281×	`associate-l_binary64`
257×	`associate-r_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	73	439
1	182	431
2	488	240
3	2901	238

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

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

localize9.0ms (0.3%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 18 to 9 computations (50% saved)

series9.0ms (0.3%)

Counts

1 → 12

Calls

3 calls:

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

Compiler

Compiled 970 to 840 computations (13.4% saved)

rewrite44.0ms (1.6%)

Algorithm

1×	batch-egg-rewrite

Rules

700×	`pow1_binary64`
657×	`add-log-exp_binary64`
656×	`log1p-expm1-u_binary64`
656×	`expm1-log1p-u_binary64`
644×	`add-exp-log_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	6	10
1	137	8
2	1784	8

Stop Event

1×	node limit

Counts

1 → 22

Calls

Call 1

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

Outputs

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

simplify39.0ms (1.4%)

Algorithm

1×	egg-herbie

Rules

681×	`associate-/l*_binary64`
463×	`associate-l_binary64`
430×	`associate-r_binary64`
429×	`log-prod_binary64`
338×	`fma-def_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	104	578
1	258	517
2	818	430
3	4374	427

Stop Event

1×	node limit

Counts

34 → 60

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

eval188.0ms (6.7%)

Compiler: Compiled 11027 to 7928 computations (28.1% saved)

prune75.0ms (2.7%)

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	500	2	502
Fresh	0	1	1
Picked	0	1	1
Done	1	2	3
Total	501	6	507

Error

Counts

507 → 6

Alt Table

Click to see full alt table

Status	Error	Program
▶	42.7b	(/.f64 (/.f64 2 x) x)
✓	14.2b	(/.f64 2 (+.f64 2 (*.f64 x x)))
✓	0.0b	(/.f64 1 (cosh.f64 x))
✓	34.9b	(+.f64 1 (.f64 -1/2 (.f64 x x)))
▶	0.0b	(sqrt.f64 (pow.f64 (cosh.f64 x) -2))
	34.3b	1

Compiler

Compiled 35 to 27 computations (22.9% saved)

localize6.0ms (0.2%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 14 to 8 computations (42.9% saved)

series13.0ms (0.5%)

Counts

2 → 24

Calls

6 calls:

Time	Variable		Point	Expression
1.0ms	x	@	-inf	(pow.f64 (cosh.f64 x) -2)
1.0ms	x	@	inf	(pow.f64 (cosh.f64 x) -2)
0.0ms	x	@	0	(pow.f64 (cosh.f64 x) -2)
0.0ms	x	@	-inf	(sqrt.f64 (pow.f64 (cosh.f64 x) -2))
0.0ms	x	@	inf	(sqrt.f64 (pow.f64 (cosh.f64 x) -2))

Compiler

Compiled 1330 to 955 computations (28.2% saved)

rewrite40.0ms (1.4%)

Algorithm

1×	batch-egg-rewrite

Rules

557×	`pow1_binary64`
521×	`add-log-exp_binary64`
519×	`log1p-expm1-u_binary64`
519×	`expm1-log1p-u_binary64`
507×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	12
1	128	12
2	1443	12

Stop Event

1×	node limit

Counts

2 → 42

Calls

Call 1

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

Outputs

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

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

simplify44.0ms (1.6%)

Algorithm

1×	egg-herbie

Rules

504×	`associate-*l/_binary64`
478×	`times-frac_binary64`
412×	`unswap-sqr_binary64`
400×	`fma-def_binary64`
275×	`associate-/l/_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	124	1076
1	278	1069
2	847	1059
3	3371	511

Stop Event

1×	node limit

Counts

66 → 79

Calls

Call 1

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

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

localize4.0ms (0.2%)

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)

series5.0ms (0.2%)

Counts

1 → 12

Calls

3 calls:

Time	Variable		Point	Expression
1.0ms	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)

Compiler

Compiled 390 to 330 computations (15.4% saved)

rewrite37.0ms (1.3%)

Algorithm

1×	batch-egg-rewrite

Rules

581×	`pow1_binary64`
544×	`add-log-exp_binary64`
544×	`log1p-expm1-u_binary64`
544×	`expm1-log1p-u_binary64`
534×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	7
1	112	7
2	1475	7

Stop Event

1×	node limit

Counts

1 → 35

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

simplify39.0ms (1.4%)

Algorithm

1×	egg-herbie

Rules

420×	`log-prod_binary64`
352×	`fma-def_binary64`
331×	`log-div_binary64`
324×	`distribute-rgt-in_binary64`
292×	`distribute-lft-in_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	100	350
1	257	350
2	827	350
3	3647	350

Stop Event

1×	node limit

Counts

47 → 42

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

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

eval26.0ms (0.9%)

Compiler: Compiled 1207 to 808 computations (33.1% saved)

prune15.0ms (0.5%)

Pruning

9 alts after pruning (4 fresh and 5 done)

	Pruned	Kept	Total
New	118	3	121
Fresh	0	1	1
Picked	0	1	1
Done	0	4	4
Total	118	9	127

Error

Counts

127 → 9

Alt Table

Click to see full alt table

Status	Error	Program
✓	42.7b	(/.f64 (/.f64 2 x) x)
✓	14.2b	(/.f64 2 (+.f64 2 (*.f64 x x)))
▶	42.0b	(/.f64 2 (*.f64 x x))
✓	0.0b	(/.f64 1 (cosh.f64 x))
▶	30.2b	(-.f64 (+.f64 1 (/.f64 2 (*.f64 x x))) 1)
✓	34.9b	(+.f64 1 (.f64 -1/2 (.f64 x x)))
▶	42.7b	(*.f64 (/.f64 2 x) (/.f64 1 x))
✓	0.0b	(sqrt.f64 (pow.f64 (cosh.f64 x) -2))
	34.3b	1

Compiler

Compiled 59 to 45 computations (23.7% saved)

localize8.0ms (0.3%)

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)

series5.0ms (0.2%)

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))

Compiler

Compiled 390 to 330 computations (15.4% saved)

rewrite38.0ms (1.4%)

Algorithm

1×	batch-egg-rewrite

Rules

642×	`pow1_binary64`
597×	`add-log-exp_binary64`
597×	`log1p-expm1-u_binary64`
597×	`expm1-log1p-u_binary64`
586×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	7
1	149	7
2	1771	7

Stop Event

1×	node limit

Counts

1 → 38

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

simplify39.0ms (1.4%)

Algorithm

1×	egg-herbie

Rules

811×	`log-prod_binary64`
437×	`associate-l_binary64`
433×	`associate-r_binary64`
346×	`fma-def_binary64`
335×	`times-frac_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	102	352
1	240	352
2	740	352
3	4771	352

Stop Event

1×	node limit

Counts

50 → 41

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

localize9.0ms (0.3%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.8b	(/.f64 2 (*.f64 x x))
✓	1.5b	(-.f64 (+.f64 1 (/.f64 2 (*.f64 x x))) 1)

Compiler

Compiled 28 to 16 computations (42.9% saved)

series10.0ms (0.3%)

Counts

2 → 24

Calls

6 calls:

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

Compiler

Compiled 770 to 650 computations (15.6% saved)

rewrite48.0ms (1.7%)

Algorithm

1×	batch-egg-rewrite

Rules

863×	`pow1_binary64`
812×	`add-log-exp_binary64`
811×	`log1p-expm1-u_binary64`
811×	`expm1-log1p-u_binary64`
798×	`add-exp-log_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	8	26
1	184	14
2	2532	14

Stop Event

1×	node limit

Counts

2 → 89

Calls

Call 1

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

Outputs

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

simplify57.0ms (2%)

Algorithm

1×	egg-herbie

Rules

864×	`div-sub_binary64`
423×	`log-prod_binary64`
268×	`fma-def_binary64`
258×	`associate-l_binary64`
248×	`associate-r_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	142	1343
1	342	1294
2	949	1262
3	4813	1262

Stop Event

1×	node limit

Counts

113 → 74

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

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

localize4.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
	0.8b	(/.f64 2 (*.f64 x x))

Compiler

Compiled 11 to 5 computations (54.5% saved)

eval33.0ms (1.2%)

Compiler: Compiled 1453 to 1131 computations (22.2% saved)

prune16.0ms (0.6%)

Pruning

9 alts after pruning (1 fresh and 8 done)

	Pruned	Kept	Total
New	118	0	118
Fresh	0	1	1
Picked	0	1	1
Done	0	7	7
Total	118	9	127

Error

Counts

127 → 9

Alt Table

Click to see full alt table

Status	Error	Program
✓	42.7b	(/.f64 (/.f64 2 x) x)
✓	14.2b	(/.f64 2 (+.f64 2 (*.f64 x x)))
✓	42.0b	(/.f64 2 (*.f64 x x))
✓	0.0b	(/.f64 1 (cosh.f64 x))
✓	30.2b	(-.f64 (+.f64 1 (/.f64 2 (*.f64 x x))) 1)
✓	34.9b	(+.f64 1 (.f64 -1/2 (.f64 x x)))
✓	42.7b	(*.f64 (/.f64 2 x) (/.f64 1 x))
✓	0.0b	(sqrt.f64 (pow.f64 (cosh.f64 x) -2))
	34.3b	1

Compiler

Compiled 59 to 45 computations (23.7% saved)

regimes19.0ms (0.7%)

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

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

Calls

5 calls:

7.0ms	x
2.0ms	(/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
2.0ms	(/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
2.0ms	(+.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 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))`
0.0b	1	`(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))`
0.0b	1	`(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))`

Compiler

Compiled 116 to 81 computations (30.2% saved)

regimes18.0ms (0.6%)

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

5 calls:

5.0ms	x
4.0ms	(/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
2.0ms	(/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
2.0ms	(+.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 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))`
0.0b	1	`(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))`
0.0b	1	`(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))`

Compiler

Compiled 88 to 61 computations (30.7% saved)

regimes16.0ms (0.6%)

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

Calls

1 calls:

14.0ms

Results

Error	Segments	Branch
2.3b	3	`x`

Compiler

Compiled 44 to 28 computations (36.4% saved)

bsearch70.0ms (2.5%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
34.0ms	721316.4453775602	28492683.26102781
35.0ms	-2863885.190413299	-14247.41103195628

Results

67.0ms

224×

body

256

valid

Compiler

Compiled 293 to 234 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:

5.0ms

Results

Error	Segments	Branch
14.2b	1	`x`

Compiler

Compiled 35 to 22 computations (37.1% saved)

regimes14.0ms (0.5%)

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:

13.0ms

Results

Error	Segments	Branch
14.2b	3	`x`

Compiler

Compiled 28 to 18 computations (35.7% saved)

bsearch58.0ms (2%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
41.0ms	0.001673733561019171	1.774852413521414
16.0ms	-69.61507455214421	-0.5731191365763986

Results

55.0ms

240×

body

256

valid

Compiler

Compiled 253 to 190 computations (24.9% saved)

regimes12.0ms (0.4%)

Accuracy

Total -47.6b remaining (-331%)

Threshold costs -47.6b (-331%)

Counts

4 → 3

Calls

Call 1

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

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

Calls

1 calls:

11.0ms

Results

Error	Segments	Branch
14.4b	3	`x`

Compiler

Compiled 21 to 14 computations (33.3% saved)

bsearch29.0ms (1%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
15.0ms	0.001673733561019171	1.774852413521414
14.0ms	-69.61507455214421	-0.5731191365763986

Results

26.0ms

240×

body

256

valid

Compiler

Compiled 163 to 130 computations (20.2% saved)

simplify6.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

4×	`+-commutative_binary64`
1×	`*-commutative_binary64`
1×	`sub-neg_binary64`
1×	`1-exp_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	37	136
1	46	136
2	47	136

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(sqrt.f64 (pow.f64 (cosh.f64 x) -2))
(/.f64 1 (cosh.f64 x))
(if (<=.f64 x -1450000) (-.f64 (+.f64 1 (/.f64 2 (.f64 x x))) 1) (if (<=.f64 x 1750000) (/.f64 2 (+.f64 2 (.f64 x x))) (-.f64 (+.f64 1 (/.f64 2 (*.f64 x x))) 1)))
(/.f64 2 (+.f64 2 (*.f64 x x)))
(if (<=.f64 x -5/4) (/.f64 2 (.f64 x x)) (if (<=.f64 x 5/4) (+.f64 1 (.f64 -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
(sqrt.f64 (pow.f64 (cosh.f64 x) -2))
(/.f64 1 (cosh.f64 x))
(if (<=.f64 x -1450000) (-.f64 (+.f64 1 (/.f64 2 (.f64 x x))) 1) (if (<=.f64 x 1750000) (/.f64 2 (+.f64 2 (.f64 x x))) (-.f64 (+.f64 1 (/.f64 2 (*.f64 x x))) 1)))
(if (<=.f64 x -1450000) (+.f64 (+.f64 1 (/.f64 2 (.f64 x x))) -1) (if (<=.f64 x 1750000) (/.f64 2 (+.f64 2 (.f64 x x))) (+.f64 (+.f64 1 (/.f64 2 (*.f64 x x))) -1)))
(/.f64 2 (+.f64 2 (*.f64 x x)))
(if (<=.f64 x -5/4) (/.f64 2 (.f64 x x)) (if (<=.f64 x 5/4) (+.f64 1 (.f64 -1/2 (.f64 x x))) (/.f64 2 (.f64 x x))))
(if (<=.f64 x -5/4) (/.f64 2 (.f64 x x)) (if (<=.f64 x 5/4) (+.f64 1 (.f64 (.f64 x x) -1/2)) (/.f64 2 (.f64 x x))))
(if (<=.f64 x -3152519739159347/2251799813685248) (/.f64 2 (.f64 x x)) (if (<=.f64 x 3152519739159347/2251799813685248) 1 (/.f64 2 (.f64 x x))))
1

Compiler

Compiled 101 to 70 computations (30.7% saved)

soundness76.0ms (2.7%)

Algorithm

1×	egg-herbie

Rules

643×	`fma-def_binary64`
488×	`associate-l_binary64`
407×	`associate-/l*_binary64`
394×	`distribute-rgt-in_binary64`
393×	`associate-r_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	94	566
1	223	550
2	836	413
3	4593	335

Stop Event

1×	node limit

Compiler

Compiled 56 to 45 computations (19.6% saved)

end101.0ms (3.6%)

Compiler: Compiled 95 to 60 computations (36.8% saved)

Details

analyze0.0ms (0%)

sample867.0ms (30.7%)

preprocess80.0ms (2.8%)

simplify62.0ms (2.2%)

eval0.0ms (0%)

prune1.0ms (0%)

localize8.0ms (0.3%)

series11.0ms (0.4%)

rewrite45.0ms (1.6%)

simplify48.0ms (1.7%)

eval15.0ms (0.5%)

prune7.0ms (0.3%)

localize23.0ms (0.8%)

series45.0ms (1.6%)

rewrite58.0ms (2%)

simplify74.0ms (2.6%)

localize6.0ms (0.2%)

series6.0ms (0.2%)

rewrite45.0ms (1.6%)

simplify58.0ms (2.1%)

localize4.0ms (0.1%)

series5.0ms (0.2%)

rewrite36.0ms (1.3%)

simplify37.0ms (1.3%)

localize9.0ms (0.3%)

series9.0ms (0.3%)

rewrite44.0ms (1.6%)

simplify39.0ms (1.4%)

eval188.0ms (6.7%)

prune75.0ms (2.7%)

localize6.0ms (0.2%)

series13.0ms (0.5%)

rewrite40.0ms (1.4%)

simplify44.0ms (1.6%)

localize4.0ms (0.2%)

series5.0ms (0.2%)

rewrite37.0ms (1.3%)

simplify39.0ms (1.4%)

eval26.0ms (0.9%)

prune15.0ms (0.5%)

localize8.0ms (0.3%)

series5.0ms (0.2%)

rewrite38.0ms (1.4%)

simplify39.0ms (1.4%)

localize9.0ms (0.3%)

series10.0ms (0.3%)

rewrite48.0ms (1.7%)

simplify57.0ms (2%)

localize4.0ms (0.1%)

eval33.0ms (1.2%)

prune16.0ms (0.6%)

regimes19.0ms (0.7%)

regimes18.0ms (0.6%)

regimes16.0ms (0.6%)

bsearch70.0ms (2.5%)

regimes6.0ms (0.2%)

regimes14.0ms (0.5%)

bsearch58.0ms (2%)

regimes12.0ms (0.4%)

bsearch29.0ms (1%)

simplify6.0ms (0.2%)

soundness76.0ms (2.7%)

end101.0ms (3.6%)

Profiling