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)

sample778.0ms (34.4%)

Results

768.0ms

8256×

body

256

valid

Bogosity

preprocess90.0ms (4%)

Algorithm

2×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	saturated
1×	node limit

Calls

Call 1

Inputs
0

Outputs
0

Call 2

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

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

Compiler

Compiled 10 to 8 computations (20% saved)

simplify89.0ms (4%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

1 → 1

Calls

Call 1

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

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

eval0.0ms (0%)

Compiler: Compiled 9 to 7 computations (22.2% saved)

prune1.0ms (0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Kept	Total
New	1	1
Fresh	1	1
Picked	0	0
Done	0	0
Total	2	2

Error

0.0b

Counts

2 → 1

Alt Table

Click to see full alt table

Status	Error	Program
▶	0.0b	(/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))

Compiler

Compiled 9 to 7 computations (22.2% saved)

localize8.0ms (0.4%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 24 to 8 computations (66.7% saved)

series2.0ms (0.1%)

Counts

1 → 12

Calls

3 calls:

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

rewrite43.0ms (1.9%)

Algorithm

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

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	17
1	216	17
2	3273	17
0	10	17

Stop Event

1×	iter limit
1×	unsound

Counts

1 → 10

Calls

Call 1

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

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

Outputs

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

simplify51.0ms (2.2%)

Algorithm

1×	egg-herbie

Rules

1426×	`associate-/r*`
1258×	`associate--r+`
726×	`associate-/r/`
658×	`distribute-lft-out`
624×	`*-commutative`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	56	550
1	115	546
2	395	290
3	1879	286
4	6144	286

Stop Event

1×	node limit

Counts

22 → 27

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

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

eval6.0ms (0.3%)

Compiler: Compiled 300 to 216 computations (28% saved)

prune5.0ms (0.2%)

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	22	5	27
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	23	5	28

Error

Counts

28 → 5

Alt Table

Click to see full alt table

Status	Error	Program
▶	0.0b	(/.f64 1 (cosh.f64 x))
▶	27.0b	(+.f64 1 (.f64 -1/2 (.f64 x x)))
▶	0.0b	(log.f64 (exp.f64 (/.f64 2 (*.f64 2 (cosh.f64 x)))))
▶	0.0b	(expm1.f64 (log1p.f64 (/.f64 2 (*.f64 2 (cosh.f64 x)))))
	26.8b	1

Compiler

Compiled 33 to 28 computations (15.2% saved)

localize13.0ms (0.6%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 30 to 20 computations (33.3% saved)

series4.0ms (0.2%)

Counts

2 → 24

Calls

6 calls:

Time	Variable		Point	Expression
2.0ms	x	@	-inf	(/.f64 2 (*.f64 2 (cosh.f64 x)))
1.0ms	x	@	inf	(/.f64 2 (*.f64 2 (cosh.f64 x)))
0.0ms	x	@	0	(/.f64 2 (*.f64 2 (cosh.f64 x)))
0.0ms	x	@	0	(expm1.f64 (log1p.f64 (/.f64 2 (*.f64 2 (cosh.f64 x)))))
0.0ms	x	@	-inf	(expm1.f64 (log1p.f64 (/.f64 2 (*.f64 2 (cosh.f64 x)))))

rewrite57.0ms (2.5%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	22
1	208	22
2	2295	22

Stop Event

1×	node limit

Counts

2 → 57

Calls

Call 1

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

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

Outputs

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

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

simplify70.0ms (3.1%)

Algorithm

1×	egg-herbie

Rules

1148×	`associate-r`
942×	`associate-l`
934×	`distribute-rgt-out`
926×	`distribute-lft-out`
602×	`associate-*r/`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	106	2083
1	259	2063
2	807	1063
3	5731	1063

Stop Event

1×	node limit

Counts

81 → 52

Calls

Call 1

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

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

localize12.0ms (0.6%)

Local error

Found 3 expressions with local error:

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

Compiler

Compiled 30 to 20 computations (33.3% saved)

series2.0ms (0.1%)

Counts

2 → 24

Calls

6 calls:

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

rewrite56.0ms (2.5%)

Algorithm

1×	batch-egg-rewrite

Rules

1714×	`add-sqr-sqrt`
1692×	`*-un-lft-identity`
1570×	`add-cube-cbrt`
1554×	`add-cbrt-cube`
182×	`pow1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	26
1	200	26
2	2257	26

Stop Event

1×	node limit

Counts

2 → 53

Calls

Call 1

Inputs
(exp.f64 (/.f64 2 (*.f64 2 (cosh.f64 x))))
(log.f64 (exp.f64 (/.f64 2 (*.f64 2 (cosh.f64 x)))))

Outputs

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

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

simplify63.0ms (2.8%)

Algorithm

1×	egg-herbie

Rules

746×	`unswap-sqr`
702×	`associate-*r/`
588×	`associate-+r+`
512×	`associate-+l+`
498×	`fma-def`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	146	2113
1	326	2075
2	1123	1141
3	5199	1129

Stop Event

1×	node limit

Counts

77 → 89

Calls

Call 1

Inputs
(exp.f64 1)
(+.f64 (.f64 -1/2 (.f64 (exp.f64 1) (pow.f64 x 2))) (exp.f64 1))
(+.f64 (.f64 -1/2 (.f64 (exp.f64 1) (pow.f64 x 2))) (+.f64 (.f64 1/3 (.f64 (exp.f64 1) (pow.f64 x 4))) (exp.f64 1)))
(+.f64 (.f64 -1/2 (.f64 (exp.f64 1) (pow.f64 x 2))) (+.f64 (.f64 -151/720 (.f64 (exp.f64 1) (pow.f64 x 6))) (+.f64 (.f64 1/3 (.f64 (exp.f64 1) (pow.f64 x 4))) (exp.f64 1))))
(exp.f64 (/.f64 2 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))))
(exp.f64 (/.f64 2 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))))
(exp.f64 (/.f64 2 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))))
(exp.f64 (/.f64 2 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))))
(exp.f64 (/.f64 2 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))))
(exp.f64 (/.f64 2 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))))
(exp.f64 (/.f64 2 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))))
(exp.f64 (/.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 2 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))
(/.f64 2 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))
(/.f64 2 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))
(/.f64 2 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))
(/.f64 2 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))
(/.f64 2 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))
(/.f64 2 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))
(/.f64 2 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))
(-.f64 (exp.f64 (log1p.f64 (exp.f64 (/.f64 1 (cosh.f64 x))))) 1)
(*.f64 (exp.f64 (/.f64 1 (cosh.f64 x))) 1)
(*.f64 1 (exp.f64 (/.f64 1 (cosh.f64 x))))
(*.f64 (sqrt.f64 (exp.f64 (/.f64 1 (cosh.f64 x)))) (sqrt.f64 (exp.f64 (/.f64 1 (cosh.f64 x)))))
(*.f64 (cbrt.f64 (exp.f64 (/.f64 1 (cosh.f64 x)))) (pow.f64 (cbrt.f64 (exp.f64 (/.f64 1 (cosh.f64 x)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 1 (cosh.f64 x)))) 2) (cbrt.f64 (exp.f64 (/.f64 1 (cosh.f64 x)))))
(pow.f64 (exp.f64 (/.f64 1 (cosh.f64 x))) 1)
(pow.f64 (sqrt.f64 (exp.f64 (/.f64 1 (cosh.f64 x)))) 2)
(pow.f64 (cbrt.f64 (exp.f64 (/.f64 1 (cosh.f64 x)))) 3)
(pow.f64 (pow.f64 (exp.f64 (/.f64 1 (cosh.f64 x))) 3) 1/3)
(pow.f64 (exp.f64 2) (/.f64 1/2 (cosh.f64 x)))
(pow.f64 (exp.f64 (pow.f64 (/.f64 1 (cbrt.f64 (cosh.f64 x))) 2)) (/.f64 1 (cbrt.f64 (cosh.f64 x))))
(pow.f64 (exp.f64 1) (/.f64 1 (cosh.f64 x)))
(pow.f64 (exp.f64 (/.f64 1 (sqrt.f64 (cosh.f64 x)))) (/.f64 1 (sqrt.f64 (cosh.f64 x))))
(sqrt.f64 (pow.f64 (exp.f64 (/.f64 1 (cosh.f64 x))) 2))
(log.f64 (exp.f64 (exp.f64 (/.f64 1 (cosh.f64 x)))))
(log.f64 (+.f64 1 (expm1.f64 (exp.f64 (/.f64 1 (cosh.f64 x))))))
(cbrt.f64 (pow.f64 (exp.f64 (/.f64 1 (cosh.f64 x))) 3))
(expm1.f64 (log1p.f64 (exp.f64 (/.f64 1 (cosh.f64 x)))))
(log1p.f64 (expm1.f64 (exp.f64 (/.f64 1 (cosh.f64 x)))))
(+.f64 0 (/.f64 1 (cosh.f64 x)))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 1 (cosh.f64 x))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 1 (cosh.f64 x))))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 1 (cosh.f64 x)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 1 (cosh.f64 x))))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 1 (cosh.f64 x)))) 1)
(*.f64 2 (/.f64 1/2 (cosh.f64 x)))
(*.f64 (/.f64 1 (cosh.f64 x)) 1)
(*.f64 1 (/.f64 1 (cosh.f64 x)))
(*.f64 (/.f64 1 (sqrt.f64 (cosh.f64 x))) (/.f64 1 (sqrt.f64 (cosh.f64 x))))
(*.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 (/.f64 1/2 (cosh.f64 x)) 2)
(.f64 -2 (/.f64 1 (.f64 (cosh.f64 x) -2)))
(/.f64 2 (*.f64 2 (cosh.f64 x)))
(/.f64 2 (neg.f64 (*.f64 (cosh.f64 x) -2)))
(/.f64 1 (cosh.f64 x))
(/.f64 (/.f64 1 (sqrt.f64 (cosh.f64 x))) (sqrt.f64 (cosh.f64 x)))
(/.f64 -2 (*.f64 (cosh.f64 x) -2))
(/.f64 (/.f64 2 (cosh.f64 x)) 2)
(/.f64 (/.f64 2 (sqrt.f64 (.f64 2 (cosh.f64 x)))) (sqrt.f64 (.f64 2 (cosh.f64 x))))
(/.f64 (/.f64 2 (pow.f64 (cbrt.f64 (.f64 2 (cosh.f64 x))) 2)) (cbrt.f64 (.f64 2 (cosh.f64 x))))
(/.f64 (/.f64 1 (pow.f64 (cbrt.f64 (cosh.f64 x)) 2)) (cbrt.f64 (cosh.f64 x)))
(/.f64 -1 (neg.f64 (cosh.f64 x)))
(pow.f64 (cosh.f64 x) -1)
(pow.f64 (/.f64 1 (cosh.f64 x)) 1)
(pow.f64 (/.f64 1 (sqrt.f64 (cosh.f64 x))) 2)
(pow.f64 (/.f64 1 (cbrt.f64 (cosh.f64 x))) 3)
(pow.f64 (pow.f64 (/.f64 1 (cosh.f64 x)) 3) 1/3)
(sqrt.f64 (/.f64 1 (pow.f64 (cosh.f64 x) 2)))
(cbrt.f64 (pow.f64 (/.f64 1 (cosh.f64 x)) 3))
(expm1.f64 (log1p.f64 (/.f64 1 (cosh.f64 x))))
(exp.f64 (neg.f64 (log.f64 (cosh.f64 x))))
(exp.f64 (*.f64 (neg.f64 (log.f64 (cosh.f64 x))) 1))
(log1p.f64 (expm1.f64 (/.f64 1 (cosh.f64 x))))

Outputs
(exp.f64 1)
(E.f64)
(+.f64 (.f64 -1/2 (.f64 (exp.f64 1) (pow.f64 x 2))) (exp.f64 1))
(fma.f64 -1/2 (.f64 (E.f64) (.f64 x x)) (E.f64))
(.f64 (fma.f64 -1/2 (.f64 x x) 1) (E.f64))
(+.f64 (.f64 -1/2 (.f64 (exp.f64 1) (pow.f64 x 2))) (+.f64 (.f64 1/3 (.f64 (exp.f64 1) (pow.f64 x 4))) (exp.f64 1)))
(fma.f64 -1/2 (.f64 (E.f64) (.f64 x x)) (fma.f64 1/3 (*.f64 (E.f64) (pow.f64 x 4)) (E.f64)))
(fma.f64 (E.f64) (.f64 1/3 (pow.f64 x 4)) (.f64 (fma.f64 -1/2 (*.f64 x x) 1) (E.f64)))
(.f64 (E.f64) (+.f64 (fma.f64 -1/2 (.f64 x x) 1) (*.f64 1/3 (pow.f64 x 4))))
(+.f64 (.f64 -1/2 (.f64 (exp.f64 1) (pow.f64 x 2))) (+.f64 (.f64 -151/720 (.f64 (exp.f64 1) (pow.f64 x 6))) (+.f64 (.f64 1/3 (.f64 (exp.f64 1) (pow.f64 x 4))) (exp.f64 1))))
(fma.f64 -1/2 (.f64 (E.f64) (.f64 x x)) (fma.f64 -151/720 (.f64 (E.f64) (pow.f64 x 6)) (fma.f64 1/3 (.f64 (E.f64) (pow.f64 x 4)) (E.f64))))
(+.f64 (.f64 (fma.f64 -1/2 (.f64 x x) 1) (E.f64)) (.f64 (E.f64) (+.f64 (.f64 1/3 (pow.f64 x 4)) (*.f64 -151/720 (pow.f64 x 6)))))
(fma.f64 (E.f64) (.f64 -151/720 (pow.f64 x 6)) (.f64 (E.f64) (+.f64 (fma.f64 -1/2 (.f64 x x) 1) (.f64 1/3 (pow.f64 x 4)))))
(exp.f64 (/.f64 2 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))))
(exp.f64 (/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))))
(exp.f64 (/.f64 1 (cosh.f64 x)))
(exp.f64 (/.f64 2 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))))
(exp.f64 (/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))))
(exp.f64 (/.f64 1 (cosh.f64 x)))
(exp.f64 (/.f64 2 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))))
(exp.f64 (/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))))
(exp.f64 (/.f64 1 (cosh.f64 x)))
(exp.f64 (/.f64 2 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))))
(exp.f64 (/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))))
(exp.f64 (/.f64 1 (cosh.f64 x)))
(exp.f64 (/.f64 2 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))))
(exp.f64 (/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))))
(exp.f64 (/.f64 1 (cosh.f64 x)))
(exp.f64 (/.f64 2 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))))
(exp.f64 (/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))))
(exp.f64 (/.f64 1 (cosh.f64 x)))
(exp.f64 (/.f64 2 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))))
(exp.f64 (/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))))
(exp.f64 (/.f64 1 (cosh.f64 x)))
(exp.f64 (/.f64 2 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))))
(exp.f64 (/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))))
(exp.f64 (/.f64 1 (cosh.f64 x)))
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 (pow.f64 x 4) 5/24)))
(+.f64 1 (fma.f64 (pow.f64 x 4) 5/24 (.f64 x (.f64 x -1/2))))
(fma.f64 -1/2 (*.f64 x x) (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 -1/2 (.f64 x x) 1) (fma.f64 (pow.f64 x 6) -61/720 (.f64 (pow.f64 x 4) 5/24)))
(+.f64 (fma.f64 (pow.f64 x 6) -61/720 (.f64 -1/2 (.f64 x x))) (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))
(-.f64 (exp.f64 (log1p.f64 (exp.f64 (/.f64 1 (cosh.f64 x))))) 1)
(exp.f64 (/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))))
(exp.f64 (/.f64 1 (cosh.f64 x)))
(*.f64 (exp.f64 (/.f64 1 (cosh.f64 x))) 1)
(exp.f64 (/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))))
(exp.f64 (/.f64 1 (cosh.f64 x)))
(*.f64 1 (exp.f64 (/.f64 1 (cosh.f64 x))))
(exp.f64 (/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))))
(exp.f64 (/.f64 1 (cosh.f64 x)))
(*.f64 (sqrt.f64 (exp.f64 (/.f64 1 (cosh.f64 x)))) (sqrt.f64 (exp.f64 (/.f64 1 (cosh.f64 x)))))
(exp.f64 (/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))))
(exp.f64 (/.f64 1 (cosh.f64 x)))
(*.f64 (cbrt.f64 (exp.f64 (/.f64 1 (cosh.f64 x)))) (pow.f64 (cbrt.f64 (exp.f64 (/.f64 1 (cosh.f64 x)))) 2))
(exp.f64 (/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))))
(exp.f64 (/.f64 1 (cosh.f64 x)))
(*.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 1 (cosh.f64 x)))) 2) (cbrt.f64 (exp.f64 (/.f64 1 (cosh.f64 x)))))
(exp.f64 (/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))))
(exp.f64 (/.f64 1 (cosh.f64 x)))
(pow.f64 (exp.f64 (/.f64 1 (cosh.f64 x))) 1)
(exp.f64 (/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))))
(exp.f64 (/.f64 1 (cosh.f64 x)))
(pow.f64 (sqrt.f64 (exp.f64 (/.f64 1 (cosh.f64 x)))) 2)
(exp.f64 (/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))))
(exp.f64 (/.f64 1 (cosh.f64 x)))
(pow.f64 (cbrt.f64 (exp.f64 (/.f64 1 (cosh.f64 x)))) 3)
(exp.f64 (/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))))
(exp.f64 (/.f64 1 (cosh.f64 x)))
(pow.f64 (pow.f64 (exp.f64 (/.f64 1 (cosh.f64 x))) 3) 1/3)
(exp.f64 (/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))))
(exp.f64 (/.f64 1 (cosh.f64 x)))
(pow.f64 (exp.f64 2) (/.f64 1/2 (cosh.f64 x)))
(exp.f64 (/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))))
(exp.f64 (/.f64 1 (cosh.f64 x)))
(pow.f64 (exp.f64 (pow.f64 (/.f64 1 (cbrt.f64 (cosh.f64 x))) 2)) (/.f64 1 (cbrt.f64 (cosh.f64 x))))
(exp.f64 (/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))))
(exp.f64 (/.f64 1 (cosh.f64 x)))
(pow.f64 (exp.f64 1) (/.f64 1 (cosh.f64 x)))
(exp.f64 (/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))))
(exp.f64 (/.f64 1 (cosh.f64 x)))
(pow.f64 (exp.f64 (/.f64 1 (sqrt.f64 (cosh.f64 x)))) (/.f64 1 (sqrt.f64 (cosh.f64 x))))
(exp.f64 (/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))))
(exp.f64 (/.f64 1 (cosh.f64 x)))
(sqrt.f64 (pow.f64 (exp.f64 (/.f64 1 (cosh.f64 x))) 2))
(exp.f64 (/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))))
(exp.f64 (/.f64 1 (cosh.f64 x)))
(log.f64 (exp.f64 (exp.f64 (/.f64 1 (cosh.f64 x)))))
(exp.f64 (/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))))
(exp.f64 (/.f64 1 (cosh.f64 x)))
(log.f64 (+.f64 1 (expm1.f64 (exp.f64 (/.f64 1 (cosh.f64 x))))))
(exp.f64 (/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))))
(exp.f64 (/.f64 1 (cosh.f64 x)))
(cbrt.f64 (pow.f64 (exp.f64 (/.f64 1 (cosh.f64 x))) 3))
(exp.f64 (/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))))
(exp.f64 (/.f64 1 (cosh.f64 x)))
(expm1.f64 (log1p.f64 (exp.f64 (/.f64 1 (cosh.f64 x)))))
(exp.f64 (/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))))
(exp.f64 (/.f64 1 (cosh.f64 x)))
(log1p.f64 (expm1.f64 (exp.f64 (/.f64 1 (cosh.f64 x)))))
(exp.f64 (/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))))
(exp.f64 (/.f64 1 (cosh.f64 x)))
(+.f64 0 (/.f64 1 (cosh.f64 x)))
(/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(/.f64 1 (cosh.f64 x))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 1 (cosh.f64 x))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 1 (cosh.f64 x))))))
(*.f64 2 (log.f64 (sqrt.f64 (exp.f64 (/.f64 1 (cosh.f64 x))))))
(*.f64 2 (log.f64 (fabs.f64 (exp.f64 (/.f64 1/2 (cosh.f64 x))))))
(*.f64 (log.f64 (exp.f64 (/.f64 1 (cosh.f64 x)))) 1)
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 1 (cosh.f64 x)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 1 (cosh.f64 x))))))
(+.f64 (*.f64 2 (log.f64 (cbrt.f64 (exp.f64 (/.f64 1 (cosh.f64 x)))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 1 (cosh.f64 x))))))
(*.f64 3 (log.f64 (cbrt.f64 (exp.f64 (/.f64 1 (cosh.f64 x))))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 1 (cosh.f64 x)))) 1)
(/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(/.f64 1 (cosh.f64 x))
(*.f64 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 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 (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 (/.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 (/.f64 1/2 (cosh.f64 x)) 2)
(/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(/.f64 1 (cosh.f64 x))
(.f64 -2 (/.f64 1 (.f64 (cosh.f64 x) -2)))
(/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(/.f64 1 (cosh.f64 x))
(/.f64 2 (*.f64 2 (cosh.f64 x)))
(/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(/.f64 1 (cosh.f64 x))
(/.f64 2 (neg.f64 (*.f64 (cosh.f64 x) -2)))
(/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(/.f64 1 (cosh.f64 x))
(/.f64 1 (cosh.f64 x))
(/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(/.f64 (/.f64 1 (sqrt.f64 (cosh.f64 x))) (sqrt.f64 (cosh.f64 x)))
(/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(/.f64 1 (cosh.f64 x))
(/.f64 -2 (*.f64 (cosh.f64 x) -2))
(/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(/.f64 1 (cosh.f64 x))
(/.f64 (/.f64 2 (cosh.f64 x)) 2)
(/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(/.f64 1 (cosh.f64 x))
(/.f64 (/.f64 2 (sqrt.f64 (.f64 2 (cosh.f64 x)))) (sqrt.f64 (.f64 2 (cosh.f64 x))))
(/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(/.f64 1 (cosh.f64 x))
(/.f64 (/.f64 2 (pow.f64 (cbrt.f64 (.f64 2 (cosh.f64 x))) 2)) (cbrt.f64 (.f64 2 (cosh.f64 x))))
(/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(/.f64 1 (cosh.f64 x))
(/.f64 (/.f64 1 (pow.f64 (cbrt.f64 (cosh.f64 x)) 2)) (cbrt.f64 (cosh.f64 x)))
(/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(/.f64 1 (cosh.f64 x))
(/.f64 -1 (neg.f64 (cosh.f64 x)))
(/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(/.f64 1 (cosh.f64 x))
(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 (sqrt.f64 (cosh.f64 x))) 2)
(/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(/.f64 1 (cosh.f64 x))
(pow.f64 (/.f64 1 (cbrt.f64 (cosh.f64 x))) 3)
(/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(/.f64 1 (cosh.f64 x))
(pow.f64 (pow.f64 (/.f64 1 (cosh.f64 x)) 3) 1/3)
(/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(/.f64 1 (cosh.f64 x))
(sqrt.f64 (/.f64 1 (pow.f64 (cosh.f64 x) 2)))
(sqrt.f64 (pow.f64 (cosh.f64 x) -2))
(cbrt.f64 (pow.f64 (/.f64 1 (cosh.f64 x)) 3))
(/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(/.f64 1 (cosh.f64 x))
(expm1.f64 (log1p.f64 (/.f64 1 (cosh.f64 x))))
(/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(/.f64 1 (cosh.f64 x))
(exp.f64 (neg.f64 (log.f64 (cosh.f64 x))))
(/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(/.f64 1 (cosh.f64 x))
(exp.f64 (*.f64 (neg.f64 (log.f64 (cosh.f64 x))) 1))
(/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(/.f64 1 (cosh.f64 x))
(log1p.f64 (expm1.f64 (/.f64 1 (cosh.f64 x))))
(/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(/.f64 1 (cosh.f64 x))

localize6.0ms (0.3%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 19 to 10 computations (47.4% saved)

series2.0ms (0.1%)

Counts

2 → 24

Calls

6 calls:

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

rewrite87.0ms (3.9%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	8	32
1	165	28
2	2004	28

Stop Event

1×	node limit

Counts

2 → 46

Calls

Call 1

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

Outputs

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

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

simplify60.0ms (2.6%)

Algorithm

1×	egg-herbie

Rules

1516×	`associate-/r*`
1062×	`associate-r`
798×	`associate-l`
658×	`distribute-lft-neg-in`
640×	`associate-+r+`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	108	1500
1	251	1408
2	838	1340
3	3896	1340

Stop Event

1×	node limit

Counts

70 → 63

Calls

Call 1

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

Outputs
(*.f64 -1/2 (pow.f64 x 2))
(.f64 -1/2 (.f64 x x))
(.f64 x (.f64 -1/2 x))
(*.f64 -1/2 (pow.f64 x 2))
(.f64 -1/2 (.f64 x x))
(.f64 x (.f64 -1/2 x))
(*.f64 -1/2 (pow.f64 x 2))
(.f64 -1/2 (.f64 x x))
(.f64 x (.f64 -1/2 x))
(*.f64 -1/2 (pow.f64 x 2))
(.f64 -1/2 (.f64 x x))
(.f64 x (.f64 -1/2 x))
(*.f64 -1/2 (pow.f64 x 2))
(.f64 -1/2 (.f64 x x))
(.f64 x (.f64 -1/2 x))
(*.f64 -1/2 (pow.f64 x 2))
(.f64 -1/2 (.f64 x x))
(.f64 x (.f64 -1/2 x))
(*.f64 -1/2 (pow.f64 x 2))
(.f64 -1/2 (.f64 x x))
(.f64 x (.f64 -1/2 x))
(*.f64 -1/2 (pow.f64 x 2))
(.f64 -1/2 (.f64 x x))
(.f64 x (.f64 -1/2 x))
(*.f64 -1/2 (pow.f64 x 2))
(.f64 -1/2 (.f64 x x))
(.f64 x (.f64 -1/2 x))
(*.f64 -1/2 (pow.f64 x 2))
(.f64 -1/2 (.f64 x x))
(.f64 x (.f64 -1/2 x))
(*.f64 -1/2 (pow.f64 x 2))
(.f64 -1/2 (.f64 x x))
(.f64 x (.f64 -1/2 x))
(*.f64 -1/2 (pow.f64 x 2))
(.f64 -1/2 (.f64 x x))
(.f64 x (.f64 -1/2 x))
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 x 2))
(.f64 -1/2 (.f64 x x))
(.f64 x (.f64 -1/2 x))
(+.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 x 2))
(.f64 -1/2 (.f64 x x))
(.f64 x (.f64 -1/2 x))
(+.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 (fma.f64 -1/2 (*.f64 x x) 1) 1)
(.f64 -1/2 (.f64 x x))
(.f64 x (.f64 -1/2 x))
(pow.f64 (.f64 -1/2 (.f64 x x)) 1)
(.f64 -1/2 (.f64 x x))
(.f64 x (.f64 -1/2 x))
(pow.f64 (*.f64 x (sqrt.f64 -1/2)) 2)
(.f64 -1/2 (.f64 x x))
(.f64 x (.f64 -1/2 x))
(pow.f64 (cbrt.f64 (.f64 -1/2 (.f64 x x))) 3)
(.f64 -1/2 (.f64 x x))
(.f64 x (.f64 -1/2 x))
(pow.f64 (.f64 (pow.f64 (.f64 x x) 3) -1/8) 1/3)
(cbrt.f64 (.f64 (pow.f64 (.f64 x x) 3) -1/8))
(cbrt.f64 (*.f64 (pow.f64 x 6) -1/8))
(sqrt.f64 (*.f64 (pow.f64 x 4) 1/4))
(log.f64 (pow.f64 (exp.f64 -1/2) (*.f64 x x)))
(.f64 -1/2 (.f64 x x))
(.f64 x (.f64 -1/2 x))
(cbrt.f64 (.f64 (pow.f64 (.f64 x x) 3) -1/8))
(cbrt.f64 (*.f64 (pow.f64 x 6) -1/8))
(expm1.f64 (log1p.f64 (.f64 -1/2 (.f64 x x))))
(.f64 -1/2 (.f64 x x))
(.f64 x (.f64 -1/2 x))
(exp.f64 (log.f64 (.f64 -1/2 (.f64 x x))))
(.f64 -1/2 (.f64 x x))
(.f64 x (.f64 -1/2 x))
(exp.f64 (.f64 (log.f64 (.f64 -1/2 (*.f64 x x))) 1))
(.f64 -1/2 (.f64 x x))
(.f64 x (.f64 -1/2 x))
(log1p.f64 (expm1.f64 (.f64 -1/2 (.f64 x x))))
(.f64 -1/2 (.f64 x x))
(.f64 x (.f64 -1/2 x))
(-.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 (pow.f64 x 4) 1/4) (-.f64 1 (.f64 -1/2 (*.f64 x x)))))
(/.f64 (-.f64 1 (.f64 (pow.f64 x 4) 1/4)) (+.f64 1 (.f64 (*.f64 x x) 1/2)))
(/.f64 (+.f64 1 (.f64 (pow.f64 x 4) -1/4)) (+.f64 1 (.f64 (*.f64 x x) 1/2)))
(/.f64 (fma.f64 (pow.f64 x 4) -1/4 1) (fma.f64 x (*.f64 x 1/2) 1))
(/.f64 (fma.f64 (pow.f64 x 4) 1/4 -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 (hypot.f64 1 (.f64 x (sqrt.f64 -1/2))) (hypot.f64 1 (*.f64 x (sqrt.f64 -1/2))))
(pow.f64 (hypot.f64 1 (*.f64 x (sqrt.f64 -1/2))) 2)
(.f64 (cbrt.f64 (fma.f64 -1/2 (.f64 x x) 1)) (pow.f64 (cbrt.f64 (fma.f64 -1/2 (*.f64 x x) 1)) 2))
(fma.f64 -1/2 (*.f64 x x) 1)
(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 (-.f64 1 (.f64 (pow.f64 x 4) 1/4)) (/.f64 1 (-.f64 1 (.f64 -1/2 (.f64 x x)))))
(/.f64 (-.f64 1 (.f64 (pow.f64 x 4) 1/4)) (+.f64 1 (.f64 (*.f64 x x) 1/2)))
(/.f64 (+.f64 1 (.f64 (pow.f64 x 4) -1/4)) (+.f64 1 (.f64 (*.f64 x x) 1/2)))
(/.f64 (fma.f64 (pow.f64 x 4) -1/4 1) (fma.f64 x (*.f64 x 1/2) 1))
(/.f64 (fma.f64 (pow.f64 x 4) 1/4 -1) (fma.f64 x (*.f64 -1/2 x) -1))
(.f64 (+.f64 1 (.f64 (pow.f64 (.f64 x x) 3) -1/8)) (/.f64 1 (+.f64 1 (+.f64 (.f64 (pow.f64 x 4) 1/4) (.f64 1/2 (.f64 x x))))))
(.f64 (+.f64 1 (.f64 (pow.f64 (.f64 x x) 3) -1/8)) (/.f64 1 (+.f64 1 (fma.f64 (pow.f64 x 4) 1/4 (.f64 (*.f64 x x) 1/2)))))
(/.f64 (fma.f64 (pow.f64 x 6) -1/8 1) (+.f64 1 (fma.f64 (pow.f64 x 4) 1/4 (.f64 (.f64 x x) 1/2))))
(/.f64 (fma.f64 (pow.f64 x 6) -1/8 1) (fma.f64 x (*.f64 x 1/2) (fma.f64 (pow.f64 x 4) 1/4 1)))
(/.f64 1 (/.f64 (-.f64 1 (.f64 -1/2 (.f64 x x))) (-.f64 1 (*.f64 (pow.f64 x 4) 1/4))))
(/.f64 (-.f64 1 (.f64 (pow.f64 x 4) 1/4)) (+.f64 1 (.f64 (*.f64 x x) 1/2)))
(/.f64 (+.f64 1 (.f64 (pow.f64 x 4) -1/4)) (+.f64 1 (.f64 (*.f64 x x) 1/2)))
(/.f64 (fma.f64 (pow.f64 x 4) -1/4 1) (fma.f64 x (*.f64 x 1/2) 1))
(/.f64 (fma.f64 (pow.f64 x 4) 1/4 -1) (fma.f64 x (*.f64 -1/2 x) -1))
(/.f64 1 (/.f64 (+.f64 1 (+.f64 (.f64 (pow.f64 x 4) 1/4) (.f64 1/2 (.f64 x x)))) (+.f64 1 (.f64 (pow.f64 (*.f64 x x) 3) -1/8))))
(.f64 (+.f64 1 (.f64 (pow.f64 (.f64 x x) 3) -1/8)) (/.f64 1 (+.f64 1 (fma.f64 (pow.f64 x 4) 1/4 (.f64 (*.f64 x x) 1/2)))))
(/.f64 (fma.f64 (pow.f64 x 6) -1/8 1) (+.f64 1 (fma.f64 (pow.f64 x 4) 1/4 (.f64 (.f64 x x) 1/2))))
(/.f64 (fma.f64 (pow.f64 x 6) -1/8 1) (fma.f64 x (*.f64 x 1/2) (fma.f64 (pow.f64 x 4) 1/4 1)))
(/.f64 (-.f64 1 (.f64 (pow.f64 x 4) 1/4)) (-.f64 1 (.f64 -1/2 (*.f64 x x))))
(/.f64 (-.f64 1 (.f64 (pow.f64 x 4) 1/4)) (+.f64 1 (.f64 (*.f64 x x) 1/2)))
(/.f64 (+.f64 1 (.f64 (pow.f64 x 4) -1/4)) (+.f64 1 (.f64 (*.f64 x x) 1/2)))
(/.f64 (fma.f64 (pow.f64 x 4) -1/4 1) (fma.f64 x (*.f64 x 1/2) 1))
(/.f64 (fma.f64 (pow.f64 x 4) 1/4 -1) (fma.f64 x (*.f64 -1/2 x) -1))
(/.f64 (+.f64 1 (.f64 (pow.f64 (.f64 x x) 3) -1/8)) (+.f64 1 (+.f64 (.f64 (pow.f64 x 4) 1/4) (.f64 1/2 (*.f64 x x)))))
(.f64 (+.f64 1 (.f64 (pow.f64 (.f64 x x) 3) -1/8)) (/.f64 1 (+.f64 1 (fma.f64 (pow.f64 x 4) 1/4 (.f64 (*.f64 x x) 1/2)))))
(/.f64 (fma.f64 (pow.f64 x 6) -1/8 1) (+.f64 1 (fma.f64 (pow.f64 x 4) 1/4 (.f64 (.f64 x x) 1/2))))
(/.f64 (fma.f64 (pow.f64 x 6) -1/8 1) (fma.f64 x (*.f64 x 1/2) (fma.f64 (pow.f64 x 4) 1/4 1)))
(/.f64 (+.f64 1 (.f64 (pow.f64 (.f64 x x) 3) -1/8)) (+.f64 (.f64 (pow.f64 x 4) 1/4) (-.f64 1 (.f64 -1/2 (*.f64 x x)))))
(.f64 (+.f64 1 (.f64 (pow.f64 (.f64 x x) 3) -1/8)) (/.f64 1 (+.f64 1 (fma.f64 (pow.f64 x 4) 1/4 (.f64 (*.f64 x x) 1/2)))))
(/.f64 (fma.f64 (pow.f64 x 6) -1/8 1) (+.f64 1 (fma.f64 (pow.f64 x 4) 1/4 (.f64 (.f64 x x) 1/2))))
(/.f64 (fma.f64 (pow.f64 x 6) -1/8 1) (fma.f64 x (*.f64 x 1/2) (fma.f64 (pow.f64 x 4) 1/4 1)))
(/.f64 (-.f64 (.f64 (pow.f64 x 4) 1/4) 1) (-.f64 (.f64 -1/2 (*.f64 x x)) 1))
(/.f64 (-.f64 1 (.f64 (pow.f64 x 4) 1/4)) (+.f64 1 (.f64 (*.f64 x x) 1/2)))
(/.f64 (+.f64 1 (.f64 (pow.f64 x 4) -1/4)) (+.f64 1 (.f64 (*.f64 x x) 1/2)))
(/.f64 (fma.f64 (pow.f64 x 4) -1/4 1) (fma.f64 x (*.f64 x 1/2) 1))
(/.f64 (fma.f64 (pow.f64 x 4) 1/4 -1) (fma.f64 x (*.f64 -1/2 x) -1))
(/.f64 (neg.f64 (-.f64 1 (.f64 (pow.f64 x 4) 1/4))) (neg.f64 (-.f64 1 (.f64 -1/2 (*.f64 x x)))))
(/.f64 (-.f64 1 (.f64 (pow.f64 x 4) 1/4)) (+.f64 1 (.f64 (*.f64 x x) 1/2)))
(/.f64 (+.f64 1 (.f64 (pow.f64 x 4) -1/4)) (+.f64 1 (.f64 (*.f64 x x) 1/2)))
(/.f64 (fma.f64 (pow.f64 x 4) -1/4 1) (fma.f64 x (*.f64 x 1/2) 1))
(/.f64 (fma.f64 (pow.f64 x 4) 1/4 -1) (fma.f64 x (*.f64 -1/2 x) -1))
(/.f64 (neg.f64 (+.f64 1 (.f64 (pow.f64 (.f64 x x) 3) -1/8))) (neg.f64 (+.f64 1 (+.f64 (.f64 (pow.f64 x 4) 1/4) (.f64 1/2 (*.f64 x x))))))
(.f64 (+.f64 1 (.f64 (pow.f64 (.f64 x x) 3) -1/8)) (/.f64 1 (+.f64 1 (fma.f64 (pow.f64 x 4) 1/4 (.f64 (*.f64 x x) 1/2)))))
(/.f64 (fma.f64 (pow.f64 x 6) -1/8 1) (+.f64 1 (fma.f64 (pow.f64 x 4) 1/4 (.f64 (.f64 x x) 1/2))))
(/.f64 (fma.f64 (pow.f64 x 6) -1/8 1) (fma.f64 x (*.f64 x 1/2) (fma.f64 (pow.f64 x 4) 1/4 1)))
(pow.f64 (fma.f64 -1/2 (*.f64 x x) 1) 1)
(fma.f64 -1/2 (*.f64 x x) 1)
(fma.f64 x (*.f64 -1/2 x) 1)
(pow.f64 (hypot.f64 1 (*.f64 x (sqrt.f64 -1/2))) 2)
(pow.f64 (cbrt.f64 (fma.f64 -1/2 (*.f64 x x) 1)) 3)
(fma.f64 -1/2 (*.f64 x x) 1)
(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)
(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)
(exp.f64 (log1p.f64 (.f64 -1/2 (.f64 x x))))
(exp.f64 (log1p.f64 (.f64 x (.f64 -1/2 x))))
(exp.f64 (.f64 (log1p.f64 (.f64 -1/2 (*.f64 x x))) 1))
(exp.f64 (log1p.f64 (.f64 -1/2 (.f64 x x))))
(exp.f64 (log1p.f64 (.f64 x (.f64 -1/2 x))))
(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)
(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 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 (.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 (cbrt.f64 (.f64 (pow.f64 x 4) 1/4)) (cbrt.f64 (.f64 -1/2 (*.f64 x x))) 1)
(fma.f64 (cbrt.f64 (.f64 -1/2 (.f64 x x))) (cbrt.f64 (*.f64 (pow.f64 x 4) 1/4)) 1)
(fma.f64 (cbrt.f64 (.f64 x (.f64 -1/2 x))) (cbrt.f64 (*.f64 (pow.f64 x 4) 1/4)) 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 (0.2%)

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)

series1.0ms (0%)

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))

rewrite55.0ms (2.5%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	11
1	140	11
2	1630	11

Stop Event

1×	node limit

Counts

1 → 21

Calls

Call 1

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

Outputs

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

simplify44.0ms (2%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 3 (0.0ms)

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

Stop Event

1×	node limit

Counts

33 → 39

Calls

Call 1

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

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

eval80.0ms (3.5%)

Compiler: Compiled 3023 to 2111 computations (30.2% saved)

prune43.0ms (1.9%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	279	2	281
Fresh	0	1	1
Picked	0	1	1
Done	2	1	3
Total	281	5	286

Error

Counts

286 → 5

Alt Table

Click to see full alt table

Status	Error	Program
▶	0.0b	(pow.f64 (sqrt.f64 (cosh.f64 x)) -2)
✓	0.0b	(/.f64 1 (cosh.f64 x))
✓	27.0b	(+.f64 1 (.f64 -1/2 (.f64 x x)))
▶	0.0b	(expm1.f64 (log1p.f64 (/.f64 1 (cosh.f64 x))))
	26.8b	1

Compiler

Compiled 28 to 23 computations (17.9% saved)

localize9.0ms (0.4%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(expm1.f64 (log1p.f64 (/.f64 1 (cosh.f64 x))))
	0.0b	(/.f64 1 (cosh.f64 x))

Compiler

Compiled 20 to 12 computations (40% saved)

series1.0ms (0%)

Counts

1 → 12

Calls

3 calls:

Time	Variable		Point	Expression
0.0ms	x	@	0	(expm1.f64 (log1p.f64 (/.f64 1 (cosh.f64 x))))
0.0ms	x	@	-inf	(expm1.f64 (log1p.f64 (/.f64 1 (cosh.f64 x))))
0.0ms	x	@	inf	(expm1.f64 (log1p.f64 (/.f64 1 (cosh.f64 x))))

rewrite83.0ms (3.7%)

Algorithm

1×	batch-egg-rewrite

Rules

1452×	`add-sqr-sqrt`
1436×	`*-un-lft-identity`
1332×	`add-cube-cbrt`
1316×	`add-cbrt-cube`
1304×	`add-exp-log`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	11
1	178	11
2	1860	11

Stop Event

1×	node limit

Counts

1 → 30

Calls

Call 1

Inputs
(expm1.f64 (log1p.f64 (/.f64 1 (cosh.f64 x))))

Outputs

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

simplify55.0ms (2.4%)

Algorithm

1×	egg-herbie

Rules

946×	`distribute-lft-out`
844×	`associate-r`
732×	`distribute-rgt-out`
690×	`associate-l`
592×	`associate-+l-`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	94	1132
1	240	1110
2	769	632
3	4221	632

Stop Event

1×	node limit

Counts

42 → 48

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

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

localize5.0ms (0.2%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 13 to 6 computations (53.8% saved)

series5.0ms (0.2%)

Counts

2 → 24

Calls

6 calls:

Time	Variable		Point	Expression
2.0ms	x	@	inf	(pow.f64 (sqrt.f64 (cosh.f64 x)) -2)
1.0ms	x	@	-inf	(pow.f64 (sqrt.f64 (cosh.f64 x)) -2)
0.0ms	x	@	0	(pow.f64 (sqrt.f64 (cosh.f64 x)) -2)
0.0ms	x	@	0	(sqrt.f64 (cosh.f64 x))
0.0ms	x	@	inf	(sqrt.f64 (cosh.f64 x))

rewrite65.0ms (2.9%)

Algorithm

1×	batch-egg-rewrite

Rules

1500×	`add-sqr-sqrt`
1472×	`*-un-lft-identity`
1374×	`add-cube-cbrt`
1360×	`add-cbrt-cube`
1348×	`add-exp-log`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	20
1	167	20
2	1933	20

Stop Event

1×	node limit

Counts

2 → 41

Calls

Call 1

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

Outputs

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

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

simplify51.0ms (2.3%)

Algorithm

1×	egg-herbie

Rules

1258×	`unswap-sqr`
1182×	`times-frac`
986×	`associate-/l*`
860×	`*-commutative`
726×	`associate-/r*`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	131	2011
1	280	1559
2	743	1141
3	2160	1045

Stop Event

1×	node limit

Counts

65 → 83

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 1 (*.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (pow.f64 (sqrt.f64 1/2) 2)))
(/.f64 1 (*.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (pow.f64 (sqrt.f64 1/2) 2)))
(/.f64 1 (*.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (pow.f64 (sqrt.f64 1/2) 2)))
(/.f64 1 (*.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (pow.f64 (sqrt.f64 1/2) 2)))
(/.f64 1 (*.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (pow.f64 (sqrt.f64 1/2) 2)))
(/.f64 1 (*.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (pow.f64 (sqrt.f64 1/2) 2)))
(/.f64 1 (*.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (pow.f64 (sqrt.f64 1/2) 2)))
(/.f64 1 (*.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (pow.f64 (sqrt.f64 1/2) 2)))
1
(+.f64 1 (*.f64 1/4 (pow.f64 x 2)))
(+.f64 1 (+.f64 (.f64 1/4 (pow.f64 x 2)) (.f64 -1/96 (pow.f64 x 4))))
(+.f64 1 (+.f64 (.f64 1/4 (pow.f64 x 2)) (+.f64 (.f64 -1/96 (pow.f64 x 4)) (*.f64 19/5760 (pow.f64 x 6)))))
(*.f64 (sqrt.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))) (sqrt.f64 1/2))
(*.f64 (sqrt.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))) (sqrt.f64 1/2))
(*.f64 (sqrt.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))) (sqrt.f64 1/2))
(*.f64 (sqrt.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))) (sqrt.f64 1/2))
(*.f64 (sqrt.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))) (sqrt.f64 1/2))
(*.f64 (sqrt.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))) (sqrt.f64 1/2))
(*.f64 (sqrt.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))) (sqrt.f64 1/2))
(*.f64 (sqrt.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))) (sqrt.f64 1/2))
(-.f64 (+.f64 1 (/.f64 1 (cosh.f64 x))) 1)
(*.f64 (/.f64 1 (cosh.f64 x)) 1)
(*.f64 1 (/.f64 1 (cosh.f64 x)))
(*.f64 (pow.f64 (cosh.f64 x) -1/2) (pow.f64 (cosh.f64 x) -1/2))
(*.f64 (cbrt.f64 (/.f64 1 (cosh.f64 x))) (cbrt.f64 (pow.f64 (cosh.f64 x) -2)))
(*.f64 (cbrt.f64 (pow.f64 (cosh.f64 x) -2)) (cbrt.f64 (/.f64 1 (cosh.f64 x))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cosh.f64 x)) 2) -1) (pow.f64 (cbrt.f64 (cosh.f64 x)) -1))
(*.f64 (pow.f64 (pow.f64 (cosh.f64 x) 1/4) -2) (pow.f64 (pow.f64 (cosh.f64 x) 1/4) -2))
(*.f64 (pow.f64 (cbrt.f64 (cosh.f64 x)) -2) (pow.f64 (cbrt.f64 (sqrt.f64 (cosh.f64 x))) -2))
(/.f64 1 (cosh.f64 x))
(sqrt.f64 (pow.f64 (cosh.f64 x) -2))
(log.f64 (exp.f64 (/.f64 1 (cosh.f64 x))))
(cbrt.f64 (pow.f64 (/.f64 1 (cosh.f64 x)) 3))
(expm1.f64 (log1p.f64 (/.f64 1 (cosh.f64 x))))
(exp.f64 (*.f64 -1 (log.f64 (cosh.f64 x))))
(exp.f64 (*.f64 (log.f64 (cosh.f64 x)) -1))
(exp.f64 (.f64 (.f64 -1 (log.f64 (cosh.f64 x))) 1))
(log1p.f64 (expm1.f64 (/.f64 1 (cosh.f64 x))))
(-.f64 (+.f64 1 (sqrt.f64 (cosh.f64 x))) 1)
(*.f64 (sqrt.f64 (cosh.f64 x)) 1)
(*.f64 1 (sqrt.f64 (cosh.f64 x)))
(*.f64 (pow.f64 (cosh.f64 x) 1/4) (pow.f64 (cosh.f64 x) 1/4))
(*.f64 (cbrt.f64 (cosh.f64 x)) (cbrt.f64 (sqrt.f64 (cosh.f64 x))))
(*.f64 (cbrt.f64 (sqrt.f64 (cosh.f64 x))) (cbrt.f64 (cosh.f64 x)))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (cosh.f64 x)) 2)) (sqrt.f64 (cbrt.f64 (cosh.f64 x))))
(*.f64 (pow.f64 1 1/2) (sqrt.f64 (cosh.f64 x)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cosh.f64 x)) 2) 1/2) (pow.f64 (cbrt.f64 (cosh.f64 x)) 1/2))
(/.f64 (sqrt.f64 (*.f64 2 (cosh.f64 x))) (sqrt.f64 2))
(pow.f64 (cosh.f64 x) 1/2)
(pow.f64 (sqrt.f64 (cosh.f64 x)) 1)
(pow.f64 (pow.f64 (cosh.f64 x) 1/4) 2)
(pow.f64 (cbrt.f64 (sqrt.f64 (cosh.f64 x))) 3)
(pow.f64 (pow.f64 (cosh.f64 x) 3/2) 1/3)
(fabs.f64 (sqrt.f64 (cosh.f64 x)))
(log.f64 (exp.f64 (sqrt.f64 (cosh.f64 x))))
(cbrt.f64 (pow.f64 (cosh.f64 x) 3/2))
(expm1.f64 (log1p.f64 (sqrt.f64 (cosh.f64 x))))
(exp.f64 (log.f64 (sqrt.f64 (cosh.f64 x))))
(exp.f64 (*.f64 (log.f64 (cosh.f64 x)) 1/2))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (cosh.f64 x))) 1))
(log1p.f64 (expm1.f64 (sqrt.f64 (cosh.f64 x))))

Outputs
1
(+.f64 1 (*.f64 -1/2 (pow.f64 x 2)))
(+.f64 1 (.f64 -1/2 (.f64 x x)))
(fma.f64 -1/2 (*.f64 x x) 1)
(+.f64 1 (+.f64 (.f64 -1/2 (pow.f64 x 2)) (.f64 5/24 (pow.f64 x 4))))
(+.f64 1 (fma.f64 -1/2 (.f64 x x) (.f64 5/24 (pow.f64 x 4))))
(fma.f64 -1/2 (*.f64 x x) (fma.f64 5/24 (pow.f64 x 4) 1))
(+.f64 1 (+.f64 (.f64 -1/2 (pow.f64 x 2)) (+.f64 (.f64 -61/720 (pow.f64 x 6)) (*.f64 5/24 (pow.f64 x 4)))))
(+.f64 1 (fma.f64 -1/2 (.f64 x x) (fma.f64 -61/720 (pow.f64 x 6) (.f64 5/24 (pow.f64 x 4)))))
(+.f64 1 (fma.f64 -1/2 (.f64 x x) (fma.f64 5/24 (pow.f64 x 4) (.f64 -61/720 (pow.f64 x 6)))))
(+.f64 (fma.f64 -1/2 (.f64 x x) 1) (fma.f64 5/24 (pow.f64 x 4) (.f64 -61/720 (pow.f64 x 6))))
(+.f64 (fma.f64 -61/720 (pow.f64 x 6) (.f64 -1/2 (.f64 x x))) (fma.f64 5/24 (pow.f64 x 4) 1))
(/.f64 1 (*.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (pow.f64 (sqrt.f64 1/2) 2)))
(/.f64 1 (*.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (pow.f64 (sqrt.f64 1/2) 2)))
(/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(/.f64 1 (cosh.f64 x))
(/.f64 1 (*.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (pow.f64 (sqrt.f64 1/2) 2)))
(/.f64 1 (*.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (pow.f64 (sqrt.f64 1/2) 2)))
(/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(/.f64 1 (cosh.f64 x))
(/.f64 1 (*.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (pow.f64 (sqrt.f64 1/2) 2)))
(/.f64 1 (*.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (pow.f64 (sqrt.f64 1/2) 2)))
(/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(/.f64 1 (cosh.f64 x))
(/.f64 1 (*.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (pow.f64 (sqrt.f64 1/2) 2)))
(/.f64 1 (*.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (pow.f64 (sqrt.f64 1/2) 2)))
(/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(/.f64 1 (cosh.f64 x))
(/.f64 1 (*.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (pow.f64 (sqrt.f64 1/2) 2)))
(/.f64 1 (*.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (pow.f64 (sqrt.f64 1/2) 2)))
(/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(/.f64 1 (cosh.f64 x))
(/.f64 1 (*.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (pow.f64 (sqrt.f64 1/2) 2)))
(/.f64 1 (*.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (pow.f64 (sqrt.f64 1/2) 2)))
(/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(/.f64 1 (cosh.f64 x))
(/.f64 1 (*.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (pow.f64 (sqrt.f64 1/2) 2)))
(/.f64 1 (*.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (pow.f64 (sqrt.f64 1/2) 2)))
(/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(/.f64 1 (cosh.f64 x))
(/.f64 1 (*.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (pow.f64 (sqrt.f64 1/2) 2)))
(/.f64 1 (*.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (pow.f64 (sqrt.f64 1/2) 2)))
(/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(/.f64 1 (cosh.f64 x))
1
(+.f64 1 (*.f64 1/4 (pow.f64 x 2)))
(+.f64 1 (.f64 (.f64 x x) 1/4))
(fma.f64 (*.f64 x x) 1/4 1)
(fma.f64 x (*.f64 x 1/4) 1)
(+.f64 1 (+.f64 (.f64 1/4 (pow.f64 x 2)) (.f64 -1/96 (pow.f64 x 4))))
(+.f64 1 (fma.f64 1/4 (.f64 x x) (.f64 (pow.f64 x 4) -1/96)))
(+.f64 1 (fma.f64 (pow.f64 x 4) -1/96 (.f64 x (.f64 x 1/4))))
(fma.f64 x (*.f64 x 1/4) (fma.f64 (pow.f64 x 4) -1/96 1))
(+.f64 1 (+.f64 (.f64 1/4 (pow.f64 x 2)) (+.f64 (.f64 -1/96 (pow.f64 x 4)) (*.f64 19/5760 (pow.f64 x 6)))))
(+.f64 1 (fma.f64 1/4 (.f64 x x) (fma.f64 -1/96 (pow.f64 x 4) (.f64 (pow.f64 x 6) 19/5760))))
(+.f64 1 (fma.f64 (.f64 x x) 1/4 (fma.f64 (pow.f64 x 4) -1/96 (.f64 (pow.f64 x 6) 19/5760))))
(+.f64 (fma.f64 x (.f64 x 1/4) 1) (fma.f64 (pow.f64 x 4) -1/96 (.f64 (pow.f64 x 6) 19/5760)))
(+.f64 1 (fma.f64 (pow.f64 x 4) -1/96 (fma.f64 x (.f64 x 1/4) (.f64 (pow.f64 x 6) 19/5760))))
(*.f64 (sqrt.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))) (sqrt.f64 1/2))
(*.f64 (sqrt.f64 1/2) (sqrt.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))))
(.f64 (sqrt.f64 1/2) (sqrt.f64 (.f64 2 (cosh.f64 x))))
(*.f64 (sqrt.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))) (sqrt.f64 1/2))
(*.f64 (sqrt.f64 1/2) (sqrt.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))))
(.f64 (sqrt.f64 1/2) (sqrt.f64 (.f64 2 (cosh.f64 x))))
(*.f64 (sqrt.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))) (sqrt.f64 1/2))
(*.f64 (sqrt.f64 1/2) (sqrt.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))))
(.f64 (sqrt.f64 1/2) (sqrt.f64 (.f64 2 (cosh.f64 x))))
(*.f64 (sqrt.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))) (sqrt.f64 1/2))
(*.f64 (sqrt.f64 1/2) (sqrt.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))))
(.f64 (sqrt.f64 1/2) (sqrt.f64 (.f64 2 (cosh.f64 x))))
(*.f64 (sqrt.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))) (sqrt.f64 1/2))
(*.f64 (sqrt.f64 1/2) (sqrt.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))))
(.f64 (sqrt.f64 1/2) (sqrt.f64 (.f64 2 (cosh.f64 x))))
(*.f64 (sqrt.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))) (sqrt.f64 1/2))
(*.f64 (sqrt.f64 1/2) (sqrt.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))))
(.f64 (sqrt.f64 1/2) (sqrt.f64 (.f64 2 (cosh.f64 x))))
(*.f64 (sqrt.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))) (sqrt.f64 1/2))
(*.f64 (sqrt.f64 1/2) (sqrt.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))))
(.f64 (sqrt.f64 1/2) (sqrt.f64 (.f64 2 (cosh.f64 x))))
(*.f64 (sqrt.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))) (sqrt.f64 1/2))
(*.f64 (sqrt.f64 1/2) (sqrt.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))))
(.f64 (sqrt.f64 1/2) (sqrt.f64 (.f64 2 (cosh.f64 x))))
(-.f64 (+.f64 1 (/.f64 1 (cosh.f64 x))) 1)
(/.f64 1 (*.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (pow.f64 (sqrt.f64 1/2) 2)))
(/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(/.f64 1 (cosh.f64 x))
(*.f64 (/.f64 1 (cosh.f64 x)) 1)
(/.f64 1 (*.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (pow.f64 (sqrt.f64 1/2) 2)))
(/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(/.f64 1 (cosh.f64 x))
(*.f64 1 (/.f64 1 (cosh.f64 x)))
(/.f64 1 (*.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (pow.f64 (sqrt.f64 1/2) 2)))
(/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(/.f64 1 (cosh.f64 x))
(*.f64 (pow.f64 (cosh.f64 x) -1/2) (pow.f64 (cosh.f64 x) -1/2))
(/.f64 1 (*.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (pow.f64 (sqrt.f64 1/2) 2)))
(/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(/.f64 1 (cosh.f64 x))
(*.f64 (cbrt.f64 (/.f64 1 (cosh.f64 x))) (cbrt.f64 (pow.f64 (cosh.f64 x) -2)))
(*.f64 (cbrt.f64 (pow.f64 (cosh.f64 x) -2)) (cbrt.f64 (/.f64 1 (cosh.f64 x))))
(*.f64 (cbrt.f64 (/.f64 1 (cosh.f64 x))) (cbrt.f64 (pow.f64 (cosh.f64 x) -2)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cosh.f64 x)) 2) -1) (pow.f64 (cbrt.f64 (cosh.f64 x)) -1))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (cosh.f64 x)) 2)) (/.f64 1 (cbrt.f64 (cosh.f64 x))))
(/.f64 (*.f64 1 (/.f64 1 (cbrt.f64 (cosh.f64 x)))) (pow.f64 (cbrt.f64 (cosh.f64 x)) 2))
(/.f64 (pow.f64 (cbrt.f64 (cosh.f64 x)) -2) (cbrt.f64 (cosh.f64 x)))
(pow.f64 (/.f64 1 (cbrt.f64 (cosh.f64 x))) 3)
(*.f64 (pow.f64 (pow.f64 (cosh.f64 x) 1/4) -2) (pow.f64 (pow.f64 (cosh.f64 x) 1/4) -2))
(pow.f64 (pow.f64 (cosh.f64 x) 1/4) -4)
(*.f64 (pow.f64 (cbrt.f64 (cosh.f64 x)) -2) (pow.f64 (cbrt.f64 (sqrt.f64 (cosh.f64 x))) -2))
(/.f64 1 (cosh.f64 x))
(/.f64 1 (*.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (pow.f64 (sqrt.f64 1/2) 2)))
(/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(sqrt.f64 (pow.f64 (cosh.f64 x) -2))
(/.f64 1 (*.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (pow.f64 (sqrt.f64 1/2) 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 1 (*.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (pow.f64 (sqrt.f64 1/2) 2)))
(/.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 1 (*.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (pow.f64 (sqrt.f64 1/2) 2)))
(/.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 1 (*.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (pow.f64 (sqrt.f64 1/2) 2)))
(/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(/.f64 1 (cosh.f64 x))
(exp.f64 (*.f64 -1 (log.f64 (cosh.f64 x))))
(/.f64 1 (*.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (pow.f64 (sqrt.f64 1/2) 2)))
(/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(/.f64 1 (cosh.f64 x))
(exp.f64 (*.f64 (log.f64 (cosh.f64 x)) -1))
(/.f64 1 (*.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (pow.f64 (sqrt.f64 1/2) 2)))
(/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(/.f64 1 (cosh.f64 x))
(exp.f64 (.f64 (.f64 -1 (log.f64 (cosh.f64 x))) 1))
(/.f64 1 (*.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (pow.f64 (sqrt.f64 1/2) 2)))
(/.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 1 (*.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (pow.f64 (sqrt.f64 1/2) 2)))
(/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(/.f64 1 (cosh.f64 x))
(-.f64 (+.f64 1 (sqrt.f64 (cosh.f64 x))) 1)
(+.f64 (+.f64 1 (sqrt.f64 (cosh.f64 x))) -1)
(+.f64 (sqrt.f64 (cosh.f64 x)) 0)
(sqrt.f64 (cosh.f64 x))
(*.f64 (sqrt.f64 (cosh.f64 x)) 1)
(+.f64 (+.f64 1 (sqrt.f64 (cosh.f64 x))) -1)
(+.f64 (sqrt.f64 (cosh.f64 x)) 0)
(sqrt.f64 (cosh.f64 x))
(*.f64 1 (sqrt.f64 (cosh.f64 x)))
(+.f64 (+.f64 1 (sqrt.f64 (cosh.f64 x))) -1)
(+.f64 (sqrt.f64 (cosh.f64 x)) 0)
(sqrt.f64 (cosh.f64 x))
(*.f64 (pow.f64 (cosh.f64 x) 1/4) (pow.f64 (cosh.f64 x) 1/4))
(+.f64 (+.f64 1 (sqrt.f64 (cosh.f64 x))) -1)
(+.f64 (sqrt.f64 (cosh.f64 x)) 0)
(sqrt.f64 (cosh.f64 x))
(*.f64 (cbrt.f64 (cosh.f64 x)) (cbrt.f64 (sqrt.f64 (cosh.f64 x))))
(*.f64 (cbrt.f64 (sqrt.f64 (cosh.f64 x))) (cbrt.f64 (cosh.f64 x)))
(*.f64 (cbrt.f64 (cosh.f64 x)) (cbrt.f64 (sqrt.f64 (cosh.f64 x))))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (cosh.f64 x)) 2)) (sqrt.f64 (cbrt.f64 (cosh.f64 x))))
(*.f64 (fabs.f64 (cbrt.f64 (cosh.f64 x))) (sqrt.f64 (cbrt.f64 (cosh.f64 x))))
(*.f64 (cbrt.f64 (cosh.f64 x)) (sqrt.f64 (cbrt.f64 (cosh.f64 x))))
(pow.f64 (cbrt.f64 (cosh.f64 x)) 3/2)
(*.f64 (pow.f64 1 1/2) (sqrt.f64 (cosh.f64 x)))
(+.f64 (+.f64 1 (sqrt.f64 (cosh.f64 x))) -1)
(+.f64 (sqrt.f64 (cosh.f64 x)) 0)
(sqrt.f64 (cosh.f64 x))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cosh.f64 x)) 2) 1/2) (pow.f64 (cbrt.f64 (cosh.f64 x)) 1/2))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (cosh.f64 x)) 2)) (sqrt.f64 (cbrt.f64 (cosh.f64 x))))
(*.f64 (fabs.f64 (cbrt.f64 (cosh.f64 x))) (sqrt.f64 (cbrt.f64 (cosh.f64 x))))
(*.f64 (cbrt.f64 (cosh.f64 x)) (sqrt.f64 (cbrt.f64 (cosh.f64 x))))
(pow.f64 (cbrt.f64 (cosh.f64 x)) 3/2)
(/.f64 (sqrt.f64 (*.f64 2 (cosh.f64 x))) (sqrt.f64 2))
(pow.f64 (cosh.f64 x) 1/2)
(+.f64 (+.f64 1 (sqrt.f64 (cosh.f64 x))) -1)
(+.f64 (sqrt.f64 (cosh.f64 x)) 0)
(sqrt.f64 (cosh.f64 x))
(pow.f64 (sqrt.f64 (cosh.f64 x)) 1)
(+.f64 (+.f64 1 (sqrt.f64 (cosh.f64 x))) -1)
(+.f64 (sqrt.f64 (cosh.f64 x)) 0)
(sqrt.f64 (cosh.f64 x))
(pow.f64 (pow.f64 (cosh.f64 x) 1/4) 2)
(+.f64 (+.f64 1 (sqrt.f64 (cosh.f64 x))) -1)
(+.f64 (sqrt.f64 (cosh.f64 x)) 0)
(sqrt.f64 (cosh.f64 x))
(pow.f64 (cbrt.f64 (sqrt.f64 (cosh.f64 x))) 3)
(+.f64 (+.f64 1 (sqrt.f64 (cosh.f64 x))) -1)
(+.f64 (sqrt.f64 (cosh.f64 x)) 0)
(sqrt.f64 (cosh.f64 x))
(pow.f64 (pow.f64 (cosh.f64 x) 3/2) 1/3)
(cbrt.f64 (pow.f64 (cosh.f64 x) 3/2))
(fabs.f64 (sqrt.f64 (cosh.f64 x)))
(+.f64 (+.f64 1 (sqrt.f64 (cosh.f64 x))) -1)
(+.f64 (sqrt.f64 (cosh.f64 x)) 0)
(sqrt.f64 (cosh.f64 x))
(log.f64 (exp.f64 (sqrt.f64 (cosh.f64 x))))
(+.f64 (+.f64 1 (sqrt.f64 (cosh.f64 x))) -1)
(+.f64 (sqrt.f64 (cosh.f64 x)) 0)
(sqrt.f64 (cosh.f64 x))
(cbrt.f64 (pow.f64 (cosh.f64 x) 3/2))
(expm1.f64 (log1p.f64 (sqrt.f64 (cosh.f64 x))))
(+.f64 (+.f64 1 (sqrt.f64 (cosh.f64 x))) -1)
(+.f64 (sqrt.f64 (cosh.f64 x)) 0)
(sqrt.f64 (cosh.f64 x))
(exp.f64 (log.f64 (sqrt.f64 (cosh.f64 x))))
(+.f64 (+.f64 1 (sqrt.f64 (cosh.f64 x))) -1)
(+.f64 (sqrt.f64 (cosh.f64 x)) 0)
(sqrt.f64 (cosh.f64 x))
(exp.f64 (*.f64 (log.f64 (cosh.f64 x)) 1/2))
(+.f64 (+.f64 1 (sqrt.f64 (cosh.f64 x))) -1)
(+.f64 (sqrt.f64 (cosh.f64 x)) 0)
(sqrt.f64 (cosh.f64 x))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (cosh.f64 x))) 1))
(+.f64 (+.f64 1 (sqrt.f64 (cosh.f64 x))) -1)
(+.f64 (sqrt.f64 (cosh.f64 x)) 0)
(sqrt.f64 (cosh.f64 x))
(log1p.f64 (expm1.f64 (sqrt.f64 (cosh.f64 x))))
(+.f64 (+.f64 1 (sqrt.f64 (cosh.f64 x))) -1)
(+.f64 (sqrt.f64 (cosh.f64 x)) 0)
(sqrt.f64 (cosh.f64 x))

eval63.0ms (2.8%)

Compiler: Compiled 1768 to 1181 computations (33.2% saved)

prune18.0ms (0.8%)

Pruning

5 alts after pruning (1 fresh and 4 done)

	Pruned	Kept	Total
New	170	0	170
Fresh	0	1	1
Picked	0	1	1
Done	0	3	3
Total	170	5	175

Error

Counts

175 → 5

Alt Table

Click to see full alt table

Status	Error	Program
✓	0.0b	(pow.f64 (sqrt.f64 (cosh.f64 x)) -2)
✓	0.0b	(/.f64 1 (cosh.f64 x))
✓	27.0b	(+.f64 1 (.f64 -1/2 (.f64 x x)))
✓	0.0b	(expm1.f64 (log1p.f64 (/.f64 1 (cosh.f64 x))))
	26.8b	1

Compiler

Compiled 28 to 23 computations (17.9% saved)

eval0.0ms (0%)

Compiler: Compiled 1 to 1 computations (0% saved)

prune2.0ms (0.1%)

Pruning

5 alts after pruning (1 fresh and 4 done)

	Kept	Total
New	0	0
Fresh	1	1
Picked	0	0
Done	4	4
Total	5	5

Error

Counts

5 → 5

Alt Table

Click to see full alt table

Status	Error	Program
✓	0.0b	(pow.f64 (sqrt.f64 (cosh.f64 x)) -2)
✓	0.0b	(/.f64 1 (cosh.f64 x))
✓	27.0b	(+.f64 1 (.f64 -1/2 (.f64 x x)))
✓	0.0b	(expm1.f64 (log1p.f64 (/.f64 1 (cosh.f64 x))))
	26.8b	1

Compiler

Compiled 28 to 23 computations (17.9% saved)

regimes41.0ms (1.8%)

Counts

8 → 1

Calls

Call 1

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

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

Calls

3 calls:

5.0ms	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)))

Results

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

Compiler

Compiled 66 to 48 computations (27.3% saved)

regimes4.0ms (0.2%)

Accuracy

Total -0.6b remaining (-2.2%)

Threshold costs -0.6b (-2.2%)

Counts

2 → 1

Calls

Call 1

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

Outputs
1

Calls

1 calls:

3.0ms

Results

Error	Segments	Branch
26.8b	1	`x`

Compiler

Compiled 11 to 8 computations (27.3% saved)

simplify5.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

2× 1-exp

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	12
1	9	12

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

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

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

Compiler

Compiled 7 to 6 computations (14.3% saved)

soundness105.0ms (4.6%)

Algorithm

1×	egg-herbie

Rules

1426×	`associate-/r*`
1258×	`associate--r+`
726×	`associate-/r/`
658×	`distribute-lft-out`
624×	`*-commutative`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	56	550
1	115	546
2	395	290
3	1879	286
4	6144	286

Stop Event

1×	node limit

Compiler

Compiled 53 to 27 computations (49.1% saved)

end14.0ms (0.6%)

Compiler: Compiled 6 to 5 computations (16.7% saved)

Details

analyze0.0ms (0%)

sample778.0ms (34.4%)

preprocess90.0ms (4%)

simplify89.0ms (4%)

eval0.0ms (0%)

prune1.0ms (0%)

localize8.0ms (0.4%)

series2.0ms (0.1%)

rewrite43.0ms (1.9%)

simplify51.0ms (2.2%)

eval6.0ms (0.3%)

prune5.0ms (0.2%)

localize13.0ms (0.6%)

series4.0ms (0.2%)

rewrite57.0ms (2.5%)

simplify70.0ms (3.1%)

localize12.0ms (0.6%)

series2.0ms (0.1%)

rewrite56.0ms (2.5%)

simplify63.0ms (2.8%)

localize6.0ms (0.3%)

series2.0ms (0.1%)

rewrite87.0ms (3.9%)

simplify60.0ms (2.6%)

localize4.0ms (0.2%)

series1.0ms (0%)

rewrite55.0ms (2.5%)

simplify44.0ms (2%)

eval80.0ms (3.5%)

prune43.0ms (1.9%)

localize9.0ms (0.4%)

series1.0ms (0%)

rewrite83.0ms (3.7%)

simplify55.0ms (2.4%)

localize5.0ms (0.2%)

series5.0ms (0.2%)

rewrite65.0ms (2.9%)

simplify51.0ms (2.3%)

eval63.0ms (2.8%)

prune18.0ms (0.8%)

eval0.0ms (0%)

prune2.0ms (0.1%)

regimes41.0ms (1.8%)

regimes4.0ms (0.2%)

simplify5.0ms (0.2%)

soundness105.0ms (4.6%)

end14.0ms (0.6%)

Profiling