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)

sample925.0ms (39.5%)

Results

915.0ms

8256×

body

256

valid

Bogosity

preprocess91.0ms (3.9%)

Algorithm

2×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	saturated
1×	node limit

Calls

Call 1

Inputs
0

Outputs
0

Call 2

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

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

Compiler

Compiled 10 to 8 computations (20% saved)

simplify95.0ms (4.1%)

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

0.01%

Counts

2 → 1

Alt Table

Click to see full alt table

Status	Error	Program
▶	0.01%	(/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))

Compiler

Compiled 9 to 7 computations (22.2% saved)

localize8.0ms (0.3%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.01%	(/.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))))
0.0ms	x	@	inf	(/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
0.0ms	x	@	0	(/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))

rewrite44.0ms (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)))))))))

simplify58.0ms (2.5%)

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)

prune4.0ms (0.2%)

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	23	4	27
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	24	4	28

Error

Counts

28 → 4

Alt Table

Click to see full alt table

Status	Error	Program
▶	0.01%	(/.f64 1 (cosh.f64 x))
▶	50.89%	(+.f64 1 (.f64 -1/2 (.f64 x x)))
▶	0.01%	(.f64 (sqrt.f64 (/.f64 2 (.f64 2 (cosh.f64 x)))) (sqrt.f64 (/.f64 2 (*.f64 2 (cosh.f64 x)))))
	50.3%	1

Compiler

Compiled 31 to 25 computations (19.4% saved)

localize341.0ms (14.6%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.01%	(sqrt.f64 (/.f64 2 (*.f64 2 (cosh.f64 x))))
✓	0.01%	(/.f64 2 (*.f64 2 (cosh.f64 x)))
✓	0.01%	(.f64 (sqrt.f64 (/.f64 2 (.f64 2 (cosh.f64 x)))) (sqrt.f64 (/.f64 2 (*.f64 2 (cosh.f64 x)))))

Compiler

Compiled 37 to 25 computations (32.4% saved)

series4.0ms (0.2%)

Counts

3 → 36

Calls

9 calls:

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

rewrite69.0ms (3%)

Algorithm

1×	batch-egg-rewrite

Rules

1744×	`add-sqr-sqrt`
1724×	`*-un-lft-identity`
1604×	`add-cube-cbrt`
1590×	`add-cbrt-cube`
182×	`pow1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	37
1	193	37
2	2330	37

Stop Event

1×	node limit

Counts

3 → 89

Calls

Call 1

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

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

Outputs

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

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

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simplify79.0ms (3.4%)

Algorithm

1×	egg-herbie

Rules

906×	`associate-*r/`
798×	`unswap-sqr`
630×	`times-frac`
580×	`distribute-lft-neg-in`
574×	`distribute-rgt-neg-in`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	182	3277
1	408	3165
2	1348	1937
3	6524	1937

Stop Event

1×	node limit

Counts

125 → 111

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)))
1
(+.f64 1 (*.f64 -1/4 (pow.f64 x 2)))
(+.f64 1 (+.f64 (.f64 -1/4 (pow.f64 x 2)) (.f64 7/96 (pow.f64 x 4))))
(+.f64 1 (+.f64 (.f64 -1/4 (pow.f64 x 2)) (+.f64 (.f64 -139/5760 (pow.f64 x 6)) (*.f64 7/96 (pow.f64 x 4)))))
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))) (sqrt.f64 2))
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))) (sqrt.f64 2))
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))) (sqrt.f64 2))
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))) (sqrt.f64 2))
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))) (sqrt.f64 2))
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))) (sqrt.f64 2))
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))) (sqrt.f64 2))
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))) (sqrt.f64 2))
(-.f64 (exp.f64 (log1p.f64 (/.f64 1 (cosh.f64 x)))) 1)
(/.f64 2 (*.f64 2 (cosh.f64 x)))
(/.f64 2 (neg.f64 (*.f64 (cosh.f64 x) -2)))
(/.f64 (/.f64 1 (sqrt.f64 (cosh.f64 x))) (sqrt.f64 (cosh.f64 x)))
(/.f64 1 (cosh.f64 x))
(/.f64 -2 (*.f64 (cosh.f64 x) -2))
(/.f64 (.f64 (/.f64 1 (sqrt.f64 (cosh.f64 x))) (sqrt.f64 2)) (sqrt.f64 (.f64 2 (cosh.f64 x))))
(/.f64 (.f64 (sqrt.f64 2) (/.f64 1 (sqrt.f64 (cosh.f64 x)))) (sqrt.f64 (.f64 2 (cosh.f64 x))))
(/.f64 (/.f64 2 (cosh.f64 x)) 2)
(/.f64 (/.f64 2 (sqrt.f64 (.f64 2 (cosh.f64 x)))) (sqrt.f64 (.f64 2 (cosh.f64 x))))
(/.f64 (/.f64 2 (pow.f64 (cbrt.f64 (.f64 2 (cosh.f64 x))) 2)) (cbrt.f64 (.f64 2 (cosh.f64 x))))
(/.f64 (/.f64 1 (pow.f64 (cbrt.f64 (cosh.f64 x)) 2)) (cbrt.f64 (cosh.f64 x)))
(/.f64 -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 (/.f64 1 (pow.f64 (cosh.f64 x) 2)) 1/2)
(pow.f64 (pow.f64 (/.f64 1 (cosh.f64 x)) 3) 1/3)
(sqrt.f64 (/.f64 1 (pow.f64 (cosh.f64 x) 2)))
(fabs.f64 (/.f64 1 (cosh.f64 x)))
(log.f64 (exp.f64 (/.f64 1 (cosh.f64 x))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (cosh.f64 x)))))
(cbrt.f64 (pow.f64 (/.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))
(exp.f64 (.f64 (.f64 1/2 (neg.f64 (log.f64 (cosh.f64 x)))) 2))
(log1p.f64 (expm1.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 (/.f64 1 (sqrt.f64 (cosh.f64 x))) (/.f64 1 (sqrt.f64 (cosh.f64 x))))
(*.f64 1 (/.f64 1 (cosh.f64 x)))
(.f64 (pow.f64 (/.f64 1 (cosh.f64 x)) 1/4) (.f64 (pow.f64 (/.f64 1 (cosh.f64 x)) 1/4) (/.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 (/.f64 1 (cbrt.f64 (cosh.f64 x))) (.f64 (cbrt.f64 (/.f64 1 (sqrt.f64 (cosh.f64 x)))) (/.f64 1 (sqrt.f64 (cosh.f64 x)))))
(*.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 (.f64 (/.f64 1 (sqrt.f64 (cosh.f64 x))) (pow.f64 (/.f64 1 (cosh.f64 x)) 1/4)) (pow.f64 (/.f64 1 (cosh.f64 x)) 1/4))
(.f64 (.f64 (/.f64 1 (sqrt.f64 (cosh.f64 x))) (/.f64 1 (cbrt.f64 (cosh.f64 x)))) (cbrt.f64 (/.f64 1 (sqrt.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 (/.f64 1 (pow.f64 (cosh.f64 x) 2)) 1/2)
(pow.f64 (pow.f64 (/.f64 1 (cosh.f64 x)) 3) 1/3)
(sqrt.f64 (/.f64 1 (pow.f64 (cosh.f64 x) 2)))
(fabs.f64 (/.f64 1 (cosh.f64 x)))
(log.f64 (exp.f64 (/.f64 1 (cosh.f64 x))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (cosh.f64 x)))))
(cbrt.f64 (pow.f64 (/.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))
(exp.f64 (.f64 (.f64 1/2 (neg.f64 (log.f64 (cosh.f64 x)))) 2))
(log1p.f64 (expm1.f64 (/.f64 1 (cosh.f64 x))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 1 (sqrt.f64 (cosh.f64 x))))) 1)
(*.f64 (/.f64 1 (sqrt.f64 (cosh.f64 x))) 1)
(*.f64 1 (/.f64 1 (sqrt.f64 (cosh.f64 x))))
(*.f64 (pow.f64 (/.f64 1 (cosh.f64 x)) 1/4) (pow.f64 (/.f64 1 (cosh.f64 x)) 1/4))
(*.f64 (sqrt.f64 2) (sqrt.f64 (/.f64 1/2 (cosh.f64 x))))
(.f64 (sqrt.f64 2) (/.f64 1 (sqrt.f64 (.f64 2 (cosh.f64 x)))))
(*.f64 (sqrt.f64 2) (pow.f64 (/.f64 1/2 (cosh.f64 x)) 1/2))
(*.f64 (/.f64 1 (cbrt.f64 (cosh.f64 x))) (cbrt.f64 (/.f64 1 (sqrt.f64 (cosh.f64 x)))))
(*.f64 (cbrt.f64 (/.f64 1 (sqrt.f64 (cosh.f64 x)))) (/.f64 1 (cbrt.f64 (cosh.f64 x))))
(*.f64 (sqrt.f64 (pow.f64 (/.f64 1 (cbrt.f64 (cosh.f64 x))) 2)) (sqrt.f64 (/.f64 1 (cbrt.f64 (cosh.f64 x)))))
(*.f64 (pow.f64 1 1/2) (/.f64 1 (sqrt.f64 (cosh.f64 x))))
(*.f64 (pow.f64 (pow.f64 (/.f64 1 (cbrt.f64 (cosh.f64 x))) 2) 1/2) (pow.f64 (/.f64 1 (cbrt.f64 (cosh.f64 x))) 1/2))
(/.f64 1 (sqrt.f64 (cosh.f64 x)))
(/.f64 (sqrt.f64 2) (sqrt.f64 (*.f64 2 (cosh.f64 x))))
(/.f64 (sqrt.f64 -2) (sqrt.f64 (*.f64 (cosh.f64 x) -2)))
(/.f64 (neg.f64 (sqrt.f64 2)) (neg.f64 (sqrt.f64 (*.f64 2 (cosh.f64 x)))))
(pow.f64 (/.f64 1 (cosh.f64 x)) 1/2)
(pow.f64 (/.f64 1 (sqrt.f64 (cosh.f64 x))) 1)
(pow.f64 (pow.f64 (/.f64 1 (cosh.f64 x)) 1/4) 2)
(pow.f64 (cbrt.f64 (/.f64 1 (sqrt.f64 (cosh.f64 x)))) 3)
(pow.f64 (/.f64 1 (pow.f64 (cosh.f64 x) 2)) 1/4)
(pow.f64 (pow.f64 (/.f64 1 (cosh.f64 x)) 3/2) 1/3)
(fabs.f64 (/.f64 1 (sqrt.f64 (cosh.f64 x))))
(log.f64 (exp.f64 (/.f64 1 (sqrt.f64 (cosh.f64 x)))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (sqrt.f64 (cosh.f64 x))))))
(cbrt.f64 (pow.f64 (/.f64 1 (cosh.f64 x)) 3/2))
(expm1.f64 (log1p.f64 (/.f64 1 (sqrt.f64 (cosh.f64 x)))))
(exp.f64 (*.f64 1/2 (neg.f64 (log.f64 (cosh.f64 x)))))
(exp.f64 (*.f64 (neg.f64 (log.f64 (cosh.f64 x))) 1/2))
(exp.f64 (.f64 (.f64 1/2 (neg.f64 (log.f64 (cosh.f64 x)))) 1))
(log1p.f64 (expm1.f64 (/.f64 1 (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))))
(+.f64 (fma.f64 -1/2 (.f64 x x) 1) (.f64 5/24 (pow.f64 x 4)))
(fma.f64 -1/2 (*.f64 x x) (fma.f64 5/24 (pow.f64 x 4) 1))
(+.f64 1 (+.f64 (.f64 -1/2 (pow.f64 x 2)) (+.f64 (.f64 -61/720 (pow.f64 x 6)) (*.f64 5/24 (pow.f64 x 4)))))
(+.f64 1 (fma.f64 -1/2 (.f64 x x) (fma.f64 -61/720 (pow.f64 x 6) (.f64 5/24 (pow.f64 x 4)))))
(+.f64 (fma.f64 -1/2 (.f64 x x) 1) (fma.f64 5/24 (pow.f64 x 4) (.f64 -61/720 (pow.f64 x 6))))
(+.f64 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))))
(+.f64 (fma.f64 -1/2 (.f64 x x) 1) (.f64 5/24 (pow.f64 x 4)))
(fma.f64 -1/2 (*.f64 x x) (fma.f64 5/24 (pow.f64 x 4) 1))
(+.f64 1 (+.f64 (.f64 -1/2 (pow.f64 x 2)) (+.f64 (.f64 -61/720 (pow.f64 x 6)) (*.f64 5/24 (pow.f64 x 4)))))
(+.f64 1 (fma.f64 -1/2 (.f64 x x) (fma.f64 -61/720 (pow.f64 x 6) (.f64 5/24 (pow.f64 x 4)))))
(+.f64 (fma.f64 -1/2 (.f64 x x) 1) (fma.f64 5/24 (pow.f64 x 4) (.f64 -61/720 (pow.f64 x 6))))
(+.f64 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 -1/4 (pow.f64 x 2)))
(+.f64 1 (.f64 (.f64 x x) -1/4))
(fma.f64 (*.f64 x x) -1/4 1)
(+.f64 1 (+.f64 (.f64 -1/4 (pow.f64 x 2)) (.f64 7/96 (pow.f64 x 4))))
(+.f64 1 (fma.f64 -1/4 (.f64 x x) (.f64 (pow.f64 x 4) 7/96)))
(+.f64 1 (fma.f64 (pow.f64 x 4) 7/96 (.f64 x (.f64 x -1/4))))
(fma.f64 x (*.f64 x -1/4) (fma.f64 (pow.f64 x 4) 7/96 1))
(+.f64 1 (+.f64 (.f64 -1/4 (pow.f64 x 2)) (+.f64 (.f64 -139/5760 (pow.f64 x 6)) (*.f64 7/96 (pow.f64 x 4)))))
(+.f64 1 (fma.f64 -1/4 (.f64 x x) (fma.f64 -139/5760 (pow.f64 x 6) (.f64 (pow.f64 x 4) 7/96))))
(+.f64 (fma.f64 (.f64 x x) -1/4 1) (fma.f64 (pow.f64 x 4) 7/96 (.f64 (pow.f64 x 6) -139/5760)))
(+.f64 (fma.f64 (.f64 x x) -1/4 1) (fma.f64 (pow.f64 x 6) -139/5760 (.f64 (pow.f64 x 4) 7/96)))
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))) (sqrt.f64 2))
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))) (sqrt.f64 2))
(*.f64 (sqrt.f64 2) (sqrt.f64 (/.f64 1/2 (cosh.f64 x))))
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))) (sqrt.f64 2))
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))) (sqrt.f64 2))
(*.f64 (sqrt.f64 2) (sqrt.f64 (/.f64 1/2 (cosh.f64 x))))
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))) (sqrt.f64 2))
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))) (sqrt.f64 2))
(*.f64 (sqrt.f64 2) (sqrt.f64 (/.f64 1/2 (cosh.f64 x))))
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))) (sqrt.f64 2))
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))) (sqrt.f64 2))
(*.f64 (sqrt.f64 2) (sqrt.f64 (/.f64 1/2 (cosh.f64 x))))
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))) (sqrt.f64 2))
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))) (sqrt.f64 2))
(*.f64 (sqrt.f64 2) (sqrt.f64 (/.f64 1/2 (cosh.f64 x))))
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))) (sqrt.f64 2))
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))) (sqrt.f64 2))
(*.f64 (sqrt.f64 2) (sqrt.f64 (/.f64 1/2 (cosh.f64 x))))
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))) (sqrt.f64 2))
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))) (sqrt.f64 2))
(*.f64 (sqrt.f64 2) (sqrt.f64 (/.f64 1/2 (cosh.f64 x))))
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))) (sqrt.f64 2))
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))) (sqrt.f64 2))
(*.f64 (sqrt.f64 2) (sqrt.f64 (/.f64 1/2 (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 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 (/.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 1 (cosh.f64 x))
(/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.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 (/.f64 1 (sqrt.f64 (cosh.f64 x))) (sqrt.f64 2)) (sqrt.f64 (.f64 2 (cosh.f64 x))))
(/.f64 (sqrt.f64 2) (/.f64 (sqrt.f64 (*.f64 2 (cosh.f64 x))) (/.f64 1 (sqrt.f64 (cosh.f64 x)))))
(/.f64 (sqrt.f64 2) (.f64 (sqrt.f64 (.f64 2 (cosh.f64 x))) (sqrt.f64 (cosh.f64 x))))
(/.f64 (sqrt.f64 2) (.f64 (sqrt.f64 (cosh.f64 x)) (sqrt.f64 (.f64 2 (cosh.f64 x)))))
(/.f64 (.f64 (sqrt.f64 2) (/.f64 1 (sqrt.f64 (cosh.f64 x)))) (sqrt.f64 (.f64 2 (cosh.f64 x))))
(/.f64 (sqrt.f64 2) (/.f64 (sqrt.f64 (*.f64 2 (cosh.f64 x))) (/.f64 1 (sqrt.f64 (cosh.f64 x)))))
(/.f64 (sqrt.f64 2) (.f64 (sqrt.f64 (.f64 2 (cosh.f64 x))) (sqrt.f64 (cosh.f64 x))))
(/.f64 (sqrt.f64 2) (.f64 (sqrt.f64 (cosh.f64 x)) (sqrt.f64 (.f64 2 (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 (/.f64 1 (pow.f64 (cosh.f64 x) 2)) 1/2)
(/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(/.f64 1 (cosh.f64 x))
(pow.f64 (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)))
(/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(/.f64 1 (cosh.f64 x))
(fabs.f64 (/.f64 1 (cosh.f64 x)))
(/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(/.f64 1 (cosh.f64 x))
(log.f64 (exp.f64 (/.f64 1 (cosh.f64 x))))
(/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(/.f64 1 (cosh.f64 x))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (cosh.f64 x)))))
(/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(/.f64 1 (cosh.f64 x))
(cbrt.f64 (pow.f64 (/.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))
(exp.f64 (.f64 (.f64 1/2 (neg.f64 (log.f64 (cosh.f64 x)))) 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 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(/.f64 1 (cosh.f64 x))
(-.f64 (exp.f64 (log1p.f64 (/.f64 1 (cosh.f64 x)))) 1)
(/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(/.f64 1 (cosh.f64 x))
(*.f64 2 (/.f64 1/2 (cosh.f64 x)))
(/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(/.f64 1 (cosh.f64 x))
(*.f64 (/.f64 1 (cosh.f64 x)) 1)
(/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(/.f64 1 (cosh.f64 x))
(*.f64 (/.f64 1 (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 1 (/.f64 1 (cosh.f64 x)))
(/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(/.f64 1 (cosh.f64 x))
(.f64 (pow.f64 (/.f64 1 (cosh.f64 x)) 1/4) (.f64 (pow.f64 (/.f64 1 (cosh.f64 x)) 1/4) (/.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 (/.f64 1 (cbrt.f64 (cosh.f64 x))) (.f64 (cbrt.f64 (/.f64 1 (sqrt.f64 (cosh.f64 x)))) (/.f64 1 (sqrt.f64 (cosh.f64 x)))))
(.f64 (/.f64 1 (cbrt.f64 (cosh.f64 x))) (.f64 (/.f64 1 (sqrt.f64 (cosh.f64 x))) (cbrt.f64 (/.f64 1 (sqrt.f64 (cosh.f64 x))))))
(/.f64 (pow.f64 (cbrt.f64 (/.f64 1 (sqrt.f64 (cosh.f64 x)))) 4) (cbrt.f64 (cosh.f64 x)))
(/.f64 (pow.f64 (cbrt.f64 (pow.f64 (cosh.f64 x) -1/2)) 4) (cbrt.f64 (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 (.f64 (/.f64 1 (sqrt.f64 (cosh.f64 x))) (pow.f64 (/.f64 1 (cosh.f64 x)) 1/4)) (pow.f64 (/.f64 1 (cosh.f64 x)) 1/4))
(/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(/.f64 1 (cosh.f64 x))
(.f64 (.f64 (/.f64 1 (sqrt.f64 (cosh.f64 x))) (/.f64 1 (cbrt.f64 (cosh.f64 x)))) (cbrt.f64 (/.f64 1 (sqrt.f64 (cosh.f64 x)))))
(.f64 (/.f64 1 (cbrt.f64 (cosh.f64 x))) (.f64 (/.f64 1 (sqrt.f64 (cosh.f64 x))) (cbrt.f64 (/.f64 1 (sqrt.f64 (cosh.f64 x))))))
(/.f64 (pow.f64 (cbrt.f64 (/.f64 1 (sqrt.f64 (cosh.f64 x)))) 4) (cbrt.f64 (cosh.f64 x)))
(/.f64 (pow.f64 (cbrt.f64 (pow.f64 (cosh.f64 x) -1/2)) 4) (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 (/.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 (/.f64 1 (pow.f64 (cosh.f64 x) 2)) 1/2)
(/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(/.f64 1 (cosh.f64 x))
(pow.f64 (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)))
(/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(/.f64 1 (cosh.f64 x))
(fabs.f64 (/.f64 1 (cosh.f64 x)))
(/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(/.f64 1 (cosh.f64 x))
(log.f64 (exp.f64 (/.f64 1 (cosh.f64 x))))
(/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(/.f64 1 (cosh.f64 x))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (cosh.f64 x)))))
(/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(/.f64 1 (cosh.f64 x))
(cbrt.f64 (pow.f64 (/.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))
(exp.f64 (.f64 (.f64 1/2 (neg.f64 (log.f64 (cosh.f64 x)))) 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 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(/.f64 1 (cosh.f64 x))
(-.f64 (exp.f64 (log1p.f64 (/.f64 1 (sqrt.f64 (cosh.f64 x))))) 1)
(/.f64 1 (sqrt.f64 (cosh.f64 x)))
(pow.f64 (cosh.f64 x) -1/2)
(*.f64 (/.f64 1 (sqrt.f64 (cosh.f64 x))) 1)
(/.f64 1 (sqrt.f64 (cosh.f64 x)))
(pow.f64 (cosh.f64 x) -1/2)
(*.f64 1 (/.f64 1 (sqrt.f64 (cosh.f64 x))))
(/.f64 1 (sqrt.f64 (cosh.f64 x)))
(pow.f64 (cosh.f64 x) -1/2)
(*.f64 (pow.f64 (/.f64 1 (cosh.f64 x)) 1/4) (pow.f64 (/.f64 1 (cosh.f64 x)) 1/4))
(/.f64 1 (sqrt.f64 (cosh.f64 x)))
(pow.f64 (cosh.f64 x) -1/2)
(*.f64 (sqrt.f64 2) (sqrt.f64 (/.f64 1/2 (cosh.f64 x))))
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))) (sqrt.f64 2))
(.f64 (sqrt.f64 2) (/.f64 1 (sqrt.f64 (.f64 2 (cosh.f64 x)))))
(/.f64 (sqrt.f64 2) (sqrt.f64 (*.f64 2 (cosh.f64 x))))
(*.f64 (sqrt.f64 2) (pow.f64 (/.f64 1/2 (cosh.f64 x)) 1/2))
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))) (sqrt.f64 2))
(*.f64 (sqrt.f64 2) (sqrt.f64 (/.f64 1/2 (cosh.f64 x))))
(*.f64 (/.f64 1 (cbrt.f64 (cosh.f64 x))) (cbrt.f64 (/.f64 1 (sqrt.f64 (cosh.f64 x)))))
(/.f64 (cbrt.f64 (/.f64 1 (sqrt.f64 (cosh.f64 x)))) (cbrt.f64 (cosh.f64 x)))
(/.f64 (cbrt.f64 (pow.f64 (cosh.f64 x) -1/2)) (cbrt.f64 (cosh.f64 x)))
(*.f64 (cbrt.f64 (/.f64 1 (sqrt.f64 (cosh.f64 x)))) (/.f64 1 (cbrt.f64 (cosh.f64 x))))
(*.f64 (/.f64 1 (cbrt.f64 (cosh.f64 x))) (cbrt.f64 (/.f64 1 (sqrt.f64 (cosh.f64 x)))))
(/.f64 (cbrt.f64 (/.f64 1 (sqrt.f64 (cosh.f64 x)))) (cbrt.f64 (cosh.f64 x)))
(/.f64 (cbrt.f64 (pow.f64 (cosh.f64 x) -1/2)) (cbrt.f64 (cosh.f64 x)))
(*.f64 (sqrt.f64 (pow.f64 (/.f64 1 (cbrt.f64 (cosh.f64 x))) 2)) (sqrt.f64 (/.f64 1 (cbrt.f64 (cosh.f64 x)))))
(*.f64 (fabs.f64 (/.f64 1 (cbrt.f64 (cosh.f64 x)))) (sqrt.f64 (/.f64 1 (cbrt.f64 (cosh.f64 x)))))
(*.f64 (/.f64 1 (cbrt.f64 (cosh.f64 x))) (sqrt.f64 (/.f64 1 (cbrt.f64 (cosh.f64 x)))))
(*.f64 (pow.f64 1 1/2) (/.f64 1 (sqrt.f64 (cosh.f64 x))))
(/.f64 1 (sqrt.f64 (cosh.f64 x)))
(pow.f64 (cosh.f64 x) -1/2)
(*.f64 (pow.f64 (pow.f64 (/.f64 1 (cbrt.f64 (cosh.f64 x))) 2) 1/2) (pow.f64 (/.f64 1 (cbrt.f64 (cosh.f64 x))) 1/2))
(*.f64 (sqrt.f64 (pow.f64 (/.f64 1 (cbrt.f64 (cosh.f64 x))) 2)) (sqrt.f64 (/.f64 1 (cbrt.f64 (cosh.f64 x)))))
(*.f64 (fabs.f64 (/.f64 1 (cbrt.f64 (cosh.f64 x)))) (sqrt.f64 (/.f64 1 (cbrt.f64 (cosh.f64 x)))))
(*.f64 (/.f64 1 (cbrt.f64 (cosh.f64 x))) (sqrt.f64 (/.f64 1 (cbrt.f64 (cosh.f64 x)))))
(/.f64 1 (sqrt.f64 (cosh.f64 x)))
(pow.f64 (cosh.f64 x) -1/2)
(/.f64 (sqrt.f64 2) (sqrt.f64 (*.f64 2 (cosh.f64 x))))
(.f64 (sqrt.f64 2) (/.f64 1 (sqrt.f64 (.f64 2 (cosh.f64 x)))))
(/.f64 (sqrt.f64 -2) (sqrt.f64 (*.f64 (cosh.f64 x) -2)))
(/.f64 (neg.f64 (sqrt.f64 2)) (neg.f64 (sqrt.f64 (*.f64 2 (cosh.f64 x)))))
(.f64 (sqrt.f64 2) (/.f64 1 (sqrt.f64 (.f64 2 (cosh.f64 x)))))
(/.f64 (sqrt.f64 2) (sqrt.f64 (*.f64 2 (cosh.f64 x))))
(pow.f64 (/.f64 1 (cosh.f64 x)) 1/2)
(/.f64 1 (sqrt.f64 (cosh.f64 x)))
(pow.f64 (cosh.f64 x) -1/2)
(pow.f64 (/.f64 1 (sqrt.f64 (cosh.f64 x))) 1)
(/.f64 1 (sqrt.f64 (cosh.f64 x)))
(pow.f64 (cosh.f64 x) -1/2)
(pow.f64 (pow.f64 (/.f64 1 (cosh.f64 x)) 1/4) 2)
(/.f64 1 (sqrt.f64 (cosh.f64 x)))
(pow.f64 (cosh.f64 x) -1/2)
(pow.f64 (cbrt.f64 (/.f64 1 (sqrt.f64 (cosh.f64 x)))) 3)
(/.f64 1 (sqrt.f64 (cosh.f64 x)))
(pow.f64 (cosh.f64 x) -1/2)
(pow.f64 (/.f64 1 (pow.f64 (cosh.f64 x) 2)) 1/4)
(pow.f64 (pow.f64 (cosh.f64 x) -2) 1/4)
(pow.f64 (pow.f64 (/.f64 1 (cosh.f64 x)) 3/2) 1/3)
(cbrt.f64 (pow.f64 (/.f64 1 (cosh.f64 x)) 3/2))
(fabs.f64 (/.f64 1 (sqrt.f64 (cosh.f64 x))))
(/.f64 1 (sqrt.f64 (cosh.f64 x)))
(pow.f64 (cosh.f64 x) -1/2)
(log.f64 (exp.f64 (/.f64 1 (sqrt.f64 (cosh.f64 x)))))
(/.f64 1 (sqrt.f64 (cosh.f64 x)))
(pow.f64 (cosh.f64 x) -1/2)
(log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (sqrt.f64 (cosh.f64 x))))))
(/.f64 1 (sqrt.f64 (cosh.f64 x)))
(pow.f64 (cosh.f64 x) -1/2)
(cbrt.f64 (pow.f64 (/.f64 1 (cosh.f64 x)) 3/2))
(expm1.f64 (log1p.f64 (/.f64 1 (sqrt.f64 (cosh.f64 x)))))
(/.f64 1 (sqrt.f64 (cosh.f64 x)))
(pow.f64 (cosh.f64 x) -1/2)
(exp.f64 (*.f64 1/2 (neg.f64 (log.f64 (cosh.f64 x)))))
(/.f64 1 (sqrt.f64 (cosh.f64 x)))
(pow.f64 (cosh.f64 x) -1/2)
(exp.f64 (*.f64 (neg.f64 (log.f64 (cosh.f64 x))) 1/2))
(/.f64 1 (sqrt.f64 (cosh.f64 x)))
(pow.f64 (cosh.f64 x) -1/2)
(exp.f64 (.f64 (.f64 1/2 (neg.f64 (log.f64 (cosh.f64 x)))) 1))
(/.f64 1 (sqrt.f64 (cosh.f64 x)))
(pow.f64 (cosh.f64 x) -1/2)
(log1p.f64 (expm1.f64 (/.f64 1 (sqrt.f64 (cosh.f64 x)))))
(/.f64 1 (sqrt.f64 (cosh.f64 x)))
(pow.f64 (cosh.f64 x) -1/2)

localize6.0ms (0.3%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.01%	(.f64 -1/2 (.f64 x x))

Compiler

Compiled 19 to 10 computations (47.4% saved)

series1.0ms (0.1%)

Counts

1 → 12

Calls

3 calls:

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

rewrite46.0ms (1.9%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

1 → 11

Calls

Call 1

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

Outputs

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

simplify38.0ms (1.6%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

23 → 14

Calls

Call 1

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

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

localize4.0ms (0.2%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.01%	(/.f64 1 (cosh.f64 x))

Compiler

Compiled 9 to 5 computations (44.4% saved)

series0.0ms (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))

rewrite48.0ms (2.1%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	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))))))))

simplify47.0ms (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))

eval58.0ms (2.5%)

Compiler: Compiled 3297 to 2233 computations (32.3% saved)

prune27.0ms (1.1%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	228	1	229
Fresh	0	1	1
Picked	0	1	1
Done	1	1	2
Total	229	4	233

Error

Counts

233 → 4

Alt Table

Click to see full alt table

Status	Error	Program
▶	0.01%	(pow.f64 (pow.f64 (cosh.f64 x) -1/2) 2)
✓	0.01%	(/.f64 1 (cosh.f64 x))
✓	50.89%	(+.f64 1 (.f64 -1/2 (.f64 x x)))
	50.3%	1

Compiler

Compiled 22 to 18 computations (18.2% saved)

localize8.0ms (0.3%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.01%	(pow.f64 (cosh.f64 x) -1/2)
✓	0.01%	(pow.f64 (pow.f64 (cosh.f64 x) -1/2) 2)

Compiler

Compiled 16 to 10 computations (37.5% saved)

series52.0ms (2.2%)

Counts

2 → 24

Calls

6 calls:

Time	Variable		Point	Expression
26.0ms	x	@	-inf	(pow.f64 (pow.f64 (cosh.f64 x) -1/2) 2)
24.0ms	x	@	inf	(pow.f64 (pow.f64 (cosh.f64 x) -1/2) 2)
2.0ms	x	@	0	(pow.f64 (pow.f64 (cosh.f64 x) -1/2) 2)
0.0ms	x	@	inf	(pow.f64 (cosh.f64 x) -1/2)
0.0ms	x	@	-inf	(pow.f64 (cosh.f64 x) -1/2)

rewrite54.0ms (2.3%)

Algorithm

1×	batch-egg-rewrite

Rules

1636×	`add-sqr-sqrt`
1606×	`*-un-lft-identity`
1500×	`add-cube-cbrt`
1486×	`add-cbrt-cube`
178×	`add-exp-log`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	22
1	193	22
2	2144	22

Stop Event

1×	node limit

Counts

2 → 41

Calls

Call 1

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

Outputs

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

simplify60.0ms (2.6%)

Algorithm

1×	egg-herbie

Rules

1422×	`associate-/l*`
1342×	`fma-def`
814×	`associate-r`
714×	`associate-l`
628×	`associate-*r/`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	129	1667
1	256	1659
2	669	1309
3	2858	1295

Stop Event

1×	node limit

Counts

65 → 81

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 -1/4 (pow.f64 x 2)))
(+.f64 1 (+.f64 (.f64 -1/4 (pow.f64 x 2)) (.f64 7/96 (pow.f64 x 4))))
(+.f64 1 (+.f64 (.f64 -1/4 (pow.f64 x 2)) (+.f64 (.f64 -139/5760 (pow.f64 x 6)) (*.f64 7/96 (pow.f64 x 4)))))
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))) (sqrt.f64 2))
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))) (sqrt.f64 2))
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))) (sqrt.f64 2))
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))) (sqrt.f64 2))
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))) (sqrt.f64 2))
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))) (sqrt.f64 2))
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))) (sqrt.f64 2))
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))) (sqrt.f64 2))
(-.f64 (exp.f64 (log1p.f64 (/.f64 1 (cosh.f64 x)))) 1)
(*.f64 (pow.f64 (cosh.f64 x) -1/2) (pow.f64 (cosh.f64 x) -1/2))
(*.f64 (/.f64 1 (cosh.f64 x)) 1)
(*.f64 1 (/.f64 1 (cosh.f64 x)))
(.f64 (pow.f64 (cosh.f64 x) -1/4) (.f64 (pow.f64 (cosh.f64 x) -1/4) (pow.f64 (cosh.f64 x) -1/2)))
(*.f64 (cbrt.f64 (/.f64 1 (cosh.f64 x))) (cbrt.f64 (pow.f64 (cosh.f64 x) -2)))
(.f64 (cbrt.f64 (/.f64 1 (cosh.f64 x))) (.f64 (cbrt.f64 (pow.f64 (cosh.f64 x) -1/2)) (pow.f64 (cosh.f64 x) -1/2)))
(*.f64 (cbrt.f64 (pow.f64 (cosh.f64 x) -2)) (cbrt.f64 (/.f64 1 (cosh.f64 x))))
(.f64 (.f64 (pow.f64 (cosh.f64 x) -1/2) (pow.f64 (cosh.f64 x) -1/4)) (pow.f64 (cosh.f64 x) -1/4))
(.f64 (.f64 (pow.f64 (cosh.f64 x) -1/2) (cbrt.f64 (/.f64 1 (cosh.f64 x)))) (cbrt.f64 (pow.f64 (cosh.f64 x) -1/2)))
(*.f64 (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))
(sqrt.f64 (pow.f64 (cosh.f64 x) -2))
(log.f64 (exp.f64 (/.f64 1 (cosh.f64 x))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (cosh.f64 x)))))
(cbrt.f64 (pow.f64 (/.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 (exp.f64 (log1p.f64 (pow.f64 (cosh.f64 x) -1/2))) 1)
(*.f64 (pow.f64 (cosh.f64 x) -1/2) 1)
(*.f64 1 (pow.f64 (cosh.f64 x) -1/2))
(*.f64 (pow.f64 (cosh.f64 x) -1/4) (pow.f64 (cosh.f64 x) -1/4))
(*.f64 (cbrt.f64 (/.f64 1 (cosh.f64 x))) (cbrt.f64 (pow.f64 (cosh.f64 x) -1/2)))
(*.f64 (cbrt.f64 (pow.f64 (cosh.f64 x) -1/2)) (cbrt.f64 (/.f64 1 (cosh.f64 x))))
(*.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (cosh.f64 x) -2))) (sqrt.f64 (cbrt.f64 (/.f64 1 (cosh.f64 x)))))
(*.f64 (pow.f64 1 -1/2) (pow.f64 (cosh.f64 x) -1/2))
(*.f64 (pow.f64 (sqrt.f64 (cosh.f64 x)) -1/2) (pow.f64 (sqrt.f64 (cosh.f64 x)) -1/2))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cosh.f64 x)) 2) -1/2) (pow.f64 (cbrt.f64 (cosh.f64 x)) -1/2))
(sqrt.f64 (/.f64 1 (cosh.f64 x)))
(fabs.f64 (pow.f64 (cosh.f64 x) -1/2))
(log.f64 (exp.f64 (pow.f64 (cosh.f64 x) -1/2)))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (cosh.f64 x) -1/2))))
(cbrt.f64 (pow.f64 (cosh.f64 x) -3/2))
(expm1.f64 (log1p.f64 (pow.f64 (cosh.f64 x) -1/2)))
(exp.f64 (*.f64 -1/2 (log.f64 (cosh.f64 x))))
(exp.f64 (.f64 (.f64 -1/2 (log.f64 (cosh.f64 x))) 1))
(log1p.f64 (expm1.f64 (pow.f64 (cosh.f64 x) -1/2)))

Outputs
1
(+.f64 1 (*.f64 -1/2 (pow.f64 x 2)))
(+.f64 1 (.f64 -1/2 (.f64 x x)))
(fma.f64 -1/2 (*.f64 x x) 1)
(+.f64 1 (+.f64 (.f64 -1/2 (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))
(fma.f64 (.f64 x x) (fma.f64 (.f64 5/24 x) x -1/2) 1)
(+.f64 1 (+.f64 (.f64 -1/2 (pow.f64 x 2)) (+.f64 (.f64 -61/720 (pow.f64 x 6)) (*.f64 5/24 (pow.f64 x 4)))))
(+.f64 1 (fma.f64 -1/2 (.f64 x x) (fma.f64 -61/720 (pow.f64 x 6) (.f64 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 -1/2 (.f64 x x))) (fma.f64 5/24 (pow.f64 x 4) 1))
(fma.f64 -1/2 (*.f64 x x) (fma.f64 -61/720 (pow.f64 x 6) (fma.f64 5/24 (pow.f64 x 4) 1)))
(/.f64 2 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))
(/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(/.f64 1 (cosh.f64 x))
(/.f64 2 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))
(/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(/.f64 1 (cosh.f64 x))
(/.f64 2 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))
(/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(/.f64 1 (cosh.f64 x))
(/.f64 2 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))
(/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(/.f64 1 (cosh.f64 x))
(/.f64 2 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))
(/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(/.f64 1 (cosh.f64 x))
(/.f64 2 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))
(/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(/.f64 1 (cosh.f64 x))
(/.f64 2 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))
(/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(/.f64 1 (cosh.f64 x))
(/.f64 2 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))
(/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(/.f64 1 (cosh.f64 x))
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 7/96 (pow.f64 x 4))))
(+.f64 1 (fma.f64 -1/4 (.f64 x x) (.f64 (pow.f64 x 4) 7/96)))
(+.f64 1 (fma.f64 (pow.f64 x 4) 7/96 (.f64 (.f64 x x) -1/4)))
(fma.f64 (pow.f64 x 4) 7/96 (fma.f64 (*.f64 x x) -1/4 1))
(fma.f64 (.f64 x x) (fma.f64 x (.f64 x 7/96) -1/4) 1)
(+.f64 1 (+.f64 (.f64 -1/4 (pow.f64 x 2)) (+.f64 (.f64 -139/5760 (pow.f64 x 6)) (*.f64 7/96 (pow.f64 x 4)))))
(+.f64 1 (fma.f64 -1/4 (.f64 x x) (fma.f64 -139/5760 (pow.f64 x 6) (.f64 (pow.f64 x 4) 7/96))))
(+.f64 1 (fma.f64 (.f64 x x) -1/4 (fma.f64 (pow.f64 x 4) 7/96 (.f64 (pow.f64 x 6) -139/5760))))
(+.f64 1 (fma.f64 (pow.f64 x 4) 7/96 (fma.f64 (pow.f64 x 6) -139/5760 (.f64 (.f64 x x) -1/4))))
(fma.f64 x (*.f64 x -1/4) (fma.f64 (pow.f64 x 4) 7/96 (fma.f64 (pow.f64 x 6) -139/5760 1)))
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))) (sqrt.f64 2))
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))) (sqrt.f64 2))
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))) (sqrt.f64 2))
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))) (sqrt.f64 2))
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))) (sqrt.f64 2))
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))) (sqrt.f64 2))
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))) (sqrt.f64 2))
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))) (sqrt.f64 2))
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))) (sqrt.f64 2))
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))) (sqrt.f64 2))
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))) (sqrt.f64 2))
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))) (sqrt.f64 2))
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))) (sqrt.f64 2))
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))) (sqrt.f64 2))
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))) (sqrt.f64 2))
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))) (sqrt.f64 2))
(-.f64 (exp.f64 (log1p.f64 (/.f64 1 (cosh.f64 x)))) 1)
(/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(/.f64 1 (cosh.f64 x))
(*.f64 (pow.f64 (cosh.f64 x) -1/2) (pow.f64 (cosh.f64 x) -1/2))
(/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(/.f64 1 (cosh.f64 x))
(*.f64 (/.f64 1 (cosh.f64 x)) 1)
(/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(/.f64 1 (cosh.f64 x))
(*.f64 1 (/.f64 1 (cosh.f64 x)))
(/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(/.f64 1 (cosh.f64 x))
(.f64 (pow.f64 (cosh.f64 x) -1/4) (.f64 (pow.f64 (cosh.f64 x) -1/4) (pow.f64 (cosh.f64 x) -1/2)))
(/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(/.f64 1 (cosh.f64 x))
(*.f64 (cbrt.f64 (/.f64 1 (cosh.f64 x))) (cbrt.f64 (pow.f64 (cosh.f64 x) -2)))
(.f64 (cbrt.f64 (/.f64 1 (cosh.f64 x))) (.f64 (cbrt.f64 (pow.f64 (cosh.f64 x) -1/2)) (pow.f64 (cosh.f64 x) -1/2)))
(.f64 (cbrt.f64 (/.f64 1 (cosh.f64 x))) (.f64 (pow.f64 (cosh.f64 x) -1/2) (cbrt.f64 (pow.f64 (cosh.f64 x) -1/2))))
(.f64 (cbrt.f64 (pow.f64 (cosh.f64 x) -1/2)) (.f64 (pow.f64 (cosh.f64 x) -1/2) (cbrt.f64 (/.f64 1 (cosh.f64 x)))))
(.f64 (pow.f64 (cosh.f64 x) -1/2) (.f64 (cbrt.f64 (/.f64 1 (cosh.f64 x))) (cbrt.f64 (pow.f64 (cosh.f64 x) -1/2))))
(*.f64 (cbrt.f64 (pow.f64 (cosh.f64 x) -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 (.f64 (pow.f64 (cosh.f64 x) -1/2) (pow.f64 (cosh.f64 x) -1/4)) (pow.f64 (cosh.f64 x) -1/4))
(/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(/.f64 1 (cosh.f64 x))
(.f64 (.f64 (pow.f64 (cosh.f64 x) -1/2) (cbrt.f64 (/.f64 1 (cosh.f64 x)))) (cbrt.f64 (pow.f64 (cosh.f64 x) -1/2)))
(.f64 (cbrt.f64 (/.f64 1 (cosh.f64 x))) (.f64 (pow.f64 (cosh.f64 x) -1/2) (cbrt.f64 (pow.f64 (cosh.f64 x) -1/2))))
(.f64 (cbrt.f64 (pow.f64 (cosh.f64 x) -1/2)) (.f64 (pow.f64 (cosh.f64 x) -1/2) (cbrt.f64 (/.f64 1 (cosh.f64 x)))))
(.f64 (pow.f64 (cosh.f64 x) -1/2) (.f64 (cbrt.f64 (/.f64 1 (cosh.f64 x))) (cbrt.f64 (pow.f64 (cosh.f64 x) -1/2))))
(*.f64 (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)))
(/.f64 1 (cosh.f64 x))
(/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(sqrt.f64 (pow.f64 (cosh.f64 x) -2))
(/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(/.f64 1 (cosh.f64 x))
(log.f64 (exp.f64 (/.f64 1 (cosh.f64 x))))
(/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(/.f64 1 (cosh.f64 x))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (cosh.f64 x)))))
(/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(/.f64 1 (cosh.f64 x))
(cbrt.f64 (pow.f64 (/.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 (*.f64 -1 (log.f64 (cosh.f64 x))))
(/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(/.f64 1 (cosh.f64 x))
(exp.f64 (*.f64 (log.f64 (cosh.f64 x)) -1))
(/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(/.f64 1 (cosh.f64 x))
(exp.f64 (.f64 (.f64 -1 (log.f64 (cosh.f64 x))) 1))
(/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(/.f64 1 (cosh.f64 x))
(log1p.f64 (expm1.f64 (/.f64 1 (cosh.f64 x))))
(/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(/.f64 1 (cosh.f64 x))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (cosh.f64 x) -1/2))) 1)
(pow.f64 (cosh.f64 x) -1/2)
(*.f64 (pow.f64 (cosh.f64 x) -1/2) 1)
(pow.f64 (cosh.f64 x) -1/2)
(*.f64 1 (pow.f64 (cosh.f64 x) -1/2))
(pow.f64 (cosh.f64 x) -1/2)
(*.f64 (pow.f64 (cosh.f64 x) -1/4) (pow.f64 (cosh.f64 x) -1/4))
(pow.f64 (cosh.f64 x) -1/2)
(*.f64 (cbrt.f64 (/.f64 1 (cosh.f64 x))) (cbrt.f64 (pow.f64 (cosh.f64 x) -1/2)))
(*.f64 (cbrt.f64 (pow.f64 (cosh.f64 x) -1/2)) (cbrt.f64 (/.f64 1 (cosh.f64 x))))
(*.f64 (cbrt.f64 (/.f64 1 (cosh.f64 x))) (cbrt.f64 (pow.f64 (cosh.f64 x) -1/2)))
(*.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (cosh.f64 x) -2))) (sqrt.f64 (cbrt.f64 (/.f64 1 (cosh.f64 x)))))
(*.f64 (pow.f64 1 -1/2) (pow.f64 (cosh.f64 x) -1/2))
(pow.f64 (cosh.f64 x) -1/2)
(*.f64 (pow.f64 (sqrt.f64 (cosh.f64 x)) -1/2) (pow.f64 (sqrt.f64 (cosh.f64 x)) -1/2))
(/.f64 1 (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))
(sqrt.f64 (/.f64 1 (cosh.f64 x)))
(pow.f64 (cosh.f64 x) -1/2)
(fabs.f64 (pow.f64 (cosh.f64 x) -1/2))
(pow.f64 (cosh.f64 x) -1/2)
(log.f64 (exp.f64 (pow.f64 (cosh.f64 x) -1/2)))
(pow.f64 (cosh.f64 x) -1/2)
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (cosh.f64 x) -1/2))))
(pow.f64 (cosh.f64 x) -1/2)
(cbrt.f64 (pow.f64 (cosh.f64 x) -3/2))
(expm1.f64 (log1p.f64 (pow.f64 (cosh.f64 x) -1/2)))
(pow.f64 (cosh.f64 x) -1/2)
(exp.f64 (*.f64 -1/2 (log.f64 (cosh.f64 x))))
(pow.f64 (cosh.f64 x) -1/2)
(exp.f64 (.f64 (.f64 -1/2 (log.f64 (cosh.f64 x))) 1))
(pow.f64 (cosh.f64 x) -1/2)
(log1p.f64 (expm1.f64 (pow.f64 (cosh.f64 x) -1/2)))
(pow.f64 (cosh.f64 x) -1/2)

eval18.0ms (0.8%)

Compiler: Compiled 885 to 602 computations (32% saved)

prune9.0ms (0.4%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	81	0	81
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	81	4	85

Error

Counts

85 → 4

Alt Table

Click to see full alt table

Status	Error	Program
✓	0.01%	(pow.f64 (pow.f64 (cosh.f64 x) -1/2) 2)
✓	0.01%	(/.f64 1 (cosh.f64 x))
✓	50.89%	(+.f64 1 (.f64 -1/2 (.f64 x x)))
	50.3%	1

Compiler

Compiled 22 to 18 computations (18.2% saved)

eval0.0ms (0%)

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

prune2.0ms (0.1%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Kept	Total
New	0	0
Fresh	1	1
Picked	0	0
Done	3	3
Total	4	4

Error

Counts

4 → 4

Alt Table

Click to see full alt table

Status	Error	Program
✓	0.01%	(pow.f64 (pow.f64 (cosh.f64 x) -1/2) 2)
✓	0.01%	(/.f64 1 (cosh.f64 x))
✓	50.89%	(+.f64 1 (.f64 -1/2 (.f64 x x)))
	50.3%	1

Compiler

Compiled 22 to 18 computations (18.2% saved)

regimes10.0ms (0.4%)

Counts

6 → 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 (pow.f64 (cosh.f64 x) -1/2) 2)
(.f64 (sqrt.f64 (/.f64 2 (.f64 2 (cosh.f64 x)))) (sqrt.f64 (/.f64 2 (*.f64 2 (cosh.f64 x)))))

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

Calls

3 calls:

4.0ms	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
0.01%	1	`x`
0.01%	1	`(/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))`
0.01%	1	`(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))`

Compiler

Compiled 60 to 44 computations (26.7% saved)

regimes4.0ms (0.2%)

Accuracy

Total -0.6b remaining (-2%)

Threshold costs -0.6b (-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
50.3%	1	`x`

Compiler

Compiled 11 to 8 computations (27.3% saved)

simplify4.0ms (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)

soundness104.0ms (4.5%)

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)

end13.0ms (0.6%)

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

Details

analyze0.0ms (0%)

sample925.0ms (39.5%)

preprocess91.0ms (3.9%)

simplify95.0ms (4.1%)

eval0.0ms (0%)

prune1.0ms (0%)

localize8.0ms (0.3%)

series2.0ms (0.1%)

rewrite44.0ms (1.9%)

simplify58.0ms (2.5%)

eval6.0ms (0.3%)

prune4.0ms (0.2%)

localize341.0ms (14.6%)

series4.0ms (0.2%)

rewrite69.0ms (3%)

simplify79.0ms (3.4%)

localize6.0ms (0.3%)

series1.0ms (0.1%)

rewrite46.0ms (1.9%)

simplify38.0ms (1.6%)

localize4.0ms (0.2%)

series0.0ms (0%)

rewrite48.0ms (2.1%)

simplify47.0ms (2%)

eval58.0ms (2.5%)

prune27.0ms (1.1%)

localize8.0ms (0.3%)

series52.0ms (2.2%)

rewrite54.0ms (2.3%)

simplify60.0ms (2.6%)

eval18.0ms (0.8%)

prune9.0ms (0.4%)

eval0.0ms (0%)

prune2.0ms (0.1%)

regimes10.0ms (0.4%)

regimes4.0ms (0.2%)

simplify4.0ms (0.2%)

soundness104.0ms (4.5%)

end13.0ms (0.6%)

Profiling