Details

analyze851.0ms (12.8%)

Algorithm

1×

Search

True	Other	False	Iter
0%	99.9%	0.1%	0
0%	99.9%	0.1%	1
0%	99.9%	0.1%	2
0%	99.9%	0.1%	3
0%	99.9%	0.1%	4
0%	99.9%	0.1%	5
0%	99.9%	0.1%	6
0%	99.9%	0.1%	7
6.2%	93.6%	0.1%	8
7.8%	92.1%	0.1%	9
11.7%	87.8%	0.5%	10
18.7%	65.9%	15.4%	11
21.5%	61%	17.5%	12
24.2%	51.8%	24%	13
26.8%	38.2%	35%	14

Compiler

Compiled 12 to 8 computations (33.3% saved)

sample1.8s (27.5%)

Results

1.0s	8256×	body	128	valid
779.0ms	6604×	body	128	invalid

Compiler

Compiled 24 to 16 computations (33.3% saved)

preprocess46.0ms (0.7%)

Algorithm

2×	egg-herbie

Rules

914×	`fma-neg_binary64`
342×	`associate-/l*_binary64`
336×	`fma-def_binary64`
318×	`associate-/r/_binary64`
267×	`distribute-rgt-in_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	19	48
1	55	48
2	144	48
3	388	48
4	895	48
5	1639	48
6	3131	48
7	4643	48
0	3	3

Stop Event

1×	saturated
1×	node limit

Calls

Call 1

Inputs
0
1
2

Outputs
0
1
2

Call 2

Inputs
(/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z)
(/.f64 (*.f64 (cosh.f64 y) (/.f64 x y)) z)
(/.f64 (*.f64 (cosh.f64 z) (/.f64 y z)) x)
(/.f64 (*.f64 (cosh.f64 x) (/.f64 z x)) y)

Outputs
(/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z)
(/.f64 (cosh.f64 x) (/.f64 z (/.f64 y x)))
(/.f64 (/.f64 y x) (/.f64 z (cosh.f64 x)))
(*.f64 (/.f64 y x) (/.f64 (cosh.f64 x) z))
(*.f64 (cosh.f64 x) (/.f64 (/.f64 y x) z))
(.f64 (cosh.f64 x) (/.f64 y (.f64 x z)))
(/.f64 (*.f64 (cosh.f64 y) (/.f64 x y)) z)
(/.f64 (cosh.f64 y) (/.f64 z (/.f64 x y)))
(/.f64 (/.f64 x y) (/.f64 z (cosh.f64 y)))
(*.f64 (/.f64 (/.f64 x y) z) (cosh.f64 y))
(.f64 (cosh.f64 y) (/.f64 x (.f64 y z)))
(*.f64 (cosh.f64 y) (/.f64 (/.f64 x z) y))
(/.f64 (*.f64 (cosh.f64 z) (/.f64 y z)) x)
(/.f64 (cosh.f64 z) (/.f64 x (/.f64 y z)))
(/.f64 (cosh.f64 z) (*.f64 (/.f64 x y) z))
(*.f64 (/.f64 y x) (/.f64 (cosh.f64 z) z))
(*.f64 (cosh.f64 z) (/.f64 (/.f64 y x) z))
(.f64 y (/.f64 (cosh.f64 z) (.f64 x z)))
(/.f64 (*.f64 (cosh.f64 x) (/.f64 z x)) y)
(/.f64 (cosh.f64 x) (/.f64 y (/.f64 z x)))
(/.f64 (cosh.f64 x) (*.f64 (/.f64 y z) x))
(*.f64 (/.f64 z x) (/.f64 (cosh.f64 x) y))
(.f64 (cosh.f64 x) (/.f64 z (.f64 x y)))
(/.f64 (cosh.f64 x) (*.f64 y (/.f64 x z)))

Compiler

Compiled 11 to 7 computations (36.4% saved)

simplify32.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

1052×	`fma-def_binary64`
290×	`unswap-sqr_binary64`
257×	`*-commutative_binary64`
210×	`distribute-rgt-in_binary64`
206×	`associate-/l*_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	12
1	19	12
2	46	12
3	112	12
4	251	12
5	454	12
6	809	12
7	2311	12
8	3475	12
9	4680	12

Stop Event

1×	node limit

Counts

1 → 2

Calls

Call 1

Inputs
(/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z)

Outputs
(/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z)
(/.f64 (cosh.f64 x) (/.f64 z (/.f64 y x)))
(*.f64 (/.f64 (cosh.f64 x) z) (/.f64 y x))
(*.f64 (/.f64 y x) (/.f64 (cosh.f64 x) z))
(*.f64 (/.f64 y z) (/.f64 (cosh.f64 x) x))
(.f64 (cosh.f64 x) (/.f64 y (.f64 x z)))
(/.f64 (cosh.f64 x) (*.f64 x (/.f64 z y)))

prune7.0ms (0.1%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Kept	Total
New	2	2
Fresh	1	1
Picked	0	0
Done	0	0
Total	3	3

Error

0.2b

Counts

3 → 2

Alt Table

Status	Error	Program
	7.2b	(/.f64 (cosh.f64 x) (*.f64 x (/.f64 z y)))
▶	5.5b	(/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z)

Compiler

Compiled 63 to 38 computations (39.7% saved)

localize5.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(cosh.f64 x)
✓	0.0b	(*.f64 (cosh.f64 x) (/.f64 y x))
✓	5.1b	(/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z)

series19.0ms (0.3%)

Counts

3 → 72

Calls

18 calls:

Time	Variable		Point	Expression
3.0ms	x	@	-inf	(/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z)
2.0ms	x	@	inf	(/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z)
2.0ms	y	@	-inf	(/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z)
2.0ms	y	@	0	(/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z)
1.0ms	x	@	0	(/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z)

rewrite66.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

533×	`log-prod_binary64`
177×	`pow1/3_binary64`
170×	`expm1-udef_binary64`
170×	`log1p-udef_binary64`
164×	`log-div_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	24
1	176	24
2	2611	24

Stop Event

1×	node limit

Counts

3 → 113

Calls

Call 1

Inputs
(/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z)
(*.f64 (cosh.f64 x) (/.f64 y x))
(cosh.f64 x)

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

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(#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (/.f64 (cosh.f64 x) z) (/.f64 y x))))))))

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

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

simplify46.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

822×	`fma-def_binary64`
627×	`associate-l_binary64`
538×	`associate-r_binary64`
398×	`associate-/l*_binary64`
251×	`associate-/r*_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	77	1464
1	228	1340
2	583	1338
3	1646	1324

Stop Event

1×	node limit

Counts

185 → 147

Calls

Call 1

Inputs
(/.f64 y (*.f64 z x))
(+.f64 (.f64 1/2 (/.f64 (.f64 y x) z)) (/.f64 y (*.f64 z x)))
(+.f64 (.f64 1/2 (/.f64 (.f64 y x) z)) (+.f64 (/.f64 y (.f64 z x)) (.f64 1/24 (/.f64 (*.f64 y (pow.f64 x 3)) z))))
(+.f64 (.f64 1/720 (/.f64 (.f64 y (pow.f64 x 5)) z)) (+.f64 (.f64 1/2 (/.f64 (.f64 y x) z)) (+.f64 (/.f64 y (.f64 z x)) (.f64 1/24 (/.f64 (*.f64 y (pow.f64 x 3)) z)))))
(/.f64 (+.f64 (.f64 1/2 (.f64 (exp.f64 x) y)) (.f64 1/2 (/.f64 y (exp.f64 x)))) (.f64 z x))
(/.f64 (+.f64 (.f64 1/2 (.f64 (exp.f64 x) y)) (.f64 1/2 (/.f64 y (exp.f64 x)))) (.f64 z x))
(/.f64 (+.f64 (.f64 1/2 (.f64 (exp.f64 x) y)) (.f64 1/2 (/.f64 y (exp.f64 x)))) (.f64 z x))
(/.f64 (+.f64 (.f64 1/2 (.f64 (exp.f64 x) y)) (.f64 1/2 (/.f64 y (exp.f64 x)))) (.f64 z x))
(/.f64 (+.f64 (.f64 1/2 (.f64 y (exp.f64 x))) (.f64 1/2 (/.f64 y (exp.f64 x)))) (.f64 z x))
(/.f64 (+.f64 (.f64 1/2 (.f64 y (exp.f64 x))) (.f64 1/2 (/.f64 y (exp.f64 x)))) (.f64 z x))
(/.f64 (+.f64 (.f64 1/2 (.f64 y (exp.f64 x))) (.f64 1/2 (/.f64 y (exp.f64 x)))) (.f64 z x))
(/.f64 (+.f64 (.f64 1/2 (.f64 y (exp.f64 x))) (.f64 1/2 (/.f64 y (exp.f64 x)))) (.f64 z x))
(/.f64 (.f64 y (+.f64 (.f64 1/2 (/.f64 1 (exp.f64 x))) (.f64 1/2 (exp.f64 x)))) (.f64 z x))
(/.f64 (.f64 y (+.f64 (.f64 1/2 (/.f64 1 (exp.f64 x))) (.f64 1/2 (exp.f64 x)))) (.f64 z x))
(/.f64 (.f64 y (+.f64 (.f64 1/2 (/.f64 1 (exp.f64 x))) (.f64 1/2 (exp.f64 x)))) (.f64 z x))
(/.f64 (.f64 y (+.f64 (.f64 1/2 (/.f64 1 (exp.f64 x))) (.f64 1/2 (exp.f64 x)))) (.f64 z x))
(.f64 1/2 (/.f64 (.f64 y (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))) (*.f64 z x)))
(.f64 1/2 (/.f64 (.f64 y (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))) (*.f64 z x)))
(.f64 1/2 (/.f64 (.f64 y (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))) (*.f64 z x)))
(.f64 1/2 (/.f64 (.f64 y (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))) (*.f64 z x)))
(.f64 1/2 (/.f64 (.f64 y (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))) (*.f64 z x)))
(.f64 1/2 (/.f64 (.f64 y (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))) (*.f64 z x)))
(.f64 1/2 (/.f64 (.f64 y (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))) (*.f64 z x)))
(.f64 1/2 (/.f64 (.f64 y (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))) (*.f64 z x)))
(.f64 1/2 (/.f64 (.f64 y (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))) (*.f64 z x)))
(.f64 1/2 (/.f64 (.f64 y (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))) (*.f64 z x)))
(.f64 1/2 (/.f64 (.f64 y (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))) (*.f64 z x)))
(.f64 1/2 (/.f64 (.f64 y (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))) (*.f64 z x)))
(/.f64 (+.f64 (.f64 1/2 (.f64 y (exp.f64 x))) (.f64 1/2 (/.f64 y (exp.f64 x)))) (.f64 z x))
(/.f64 (+.f64 (.f64 1/2 (.f64 y (exp.f64 x))) (.f64 1/2 (/.f64 y (exp.f64 x)))) (.f64 z x))
(/.f64 (+.f64 (.f64 1/2 (.f64 y (exp.f64 x))) (.f64 1/2 (/.f64 y (exp.f64 x)))) (.f64 z x))
(/.f64 (+.f64 (.f64 1/2 (.f64 y (exp.f64 x))) (.f64 1/2 (/.f64 y (exp.f64 x)))) (.f64 z x))
(/.f64 (+.f64 (.f64 1/2 (.f64 y (exp.f64 x))) (.f64 1/2 (/.f64 y (exp.f64 x)))) (.f64 z x))
(/.f64 (+.f64 (.f64 1/2 (.f64 y (exp.f64 x))) (.f64 1/2 (/.f64 y (exp.f64 x)))) (.f64 z x))
(/.f64 (+.f64 (.f64 1/2 (.f64 y (exp.f64 x))) (.f64 1/2 (/.f64 y (exp.f64 x)))) (.f64 z x))
(/.f64 (+.f64 (.f64 1/2 (.f64 y (exp.f64 x))) (.f64 1/2 (/.f64 y (exp.f64 x)))) (.f64 z x))
(/.f64 y x)
(+.f64 (.f64 1/2 (.f64 y x)) (/.f64 y x))
(+.f64 (.f64 1/2 (.f64 y x)) (+.f64 (/.f64 y x) (.f64 1/24 (.f64 y (pow.f64 x 3)))))
(+.f64 (.f64 1/2 (.f64 y x)) (+.f64 (.f64 1/720 (.f64 y (pow.f64 x 5))) (+.f64 (/.f64 y x) (.f64 1/24 (.f64 y (pow.f64 x 3))))))
(/.f64 (+.f64 (.f64 1/2 (.f64 (exp.f64 x) y)) (*.f64 1/2 (/.f64 y (exp.f64 x)))) x)
(/.f64 (+.f64 (.f64 1/2 (.f64 (exp.f64 x) y)) (*.f64 1/2 (/.f64 y (exp.f64 x)))) x)
(/.f64 (+.f64 (.f64 1/2 (.f64 (exp.f64 x) y)) (*.f64 1/2 (/.f64 y (exp.f64 x)))) x)
(/.f64 (+.f64 (.f64 1/2 (.f64 (exp.f64 x) y)) (*.f64 1/2 (/.f64 y (exp.f64 x)))) x)
(/.f64 (+.f64 (.f64 1/2 (.f64 y (exp.f64 x))) (*.f64 1/2 (/.f64 y (exp.f64 x)))) x)
(/.f64 (+.f64 (.f64 1/2 (.f64 y (exp.f64 x))) (*.f64 1/2 (/.f64 y (exp.f64 x)))) x)
(/.f64 (+.f64 (.f64 1/2 (.f64 y (exp.f64 x))) (*.f64 1/2 (/.f64 y (exp.f64 x)))) x)
(/.f64 (+.f64 (.f64 1/2 (.f64 y (exp.f64 x))) (*.f64 1/2 (/.f64 y (exp.f64 x)))) x)
(/.f64 (.f64 y (+.f64 (.f64 1/2 (/.f64 1 (exp.f64 x))) (*.f64 1/2 (exp.f64 x)))) x)
(/.f64 (.f64 y (+.f64 (.f64 1/2 (/.f64 1 (exp.f64 x))) (*.f64 1/2 (exp.f64 x)))) x)
(/.f64 (.f64 y (+.f64 (.f64 1/2 (/.f64 1 (exp.f64 x))) (*.f64 1/2 (exp.f64 x)))) x)
(/.f64 (.f64 y (+.f64 (.f64 1/2 (/.f64 1 (exp.f64 x))) (*.f64 1/2 (exp.f64 x)))) x)
(.f64 1/2 (/.f64 (.f64 y (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))) x))
(.f64 1/2 (/.f64 (.f64 y (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))) x))
(.f64 1/2 (/.f64 (.f64 y (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))) x))
(.f64 1/2 (/.f64 (.f64 y (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))) x))
(.f64 1/2 (/.f64 (.f64 y (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))) x))
(.f64 1/2 (/.f64 (.f64 y (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))) x))
(.f64 1/2 (/.f64 (.f64 y (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))) x))
(.f64 1/2 (/.f64 (.f64 y (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))) x))
1
(+.f64 1 (*.f64 1/2 (pow.f64 x 2)))
(+.f64 (.f64 1/24 (pow.f64 x 4)) (+.f64 1 (.f64 1/2 (pow.f64 x 2))))
(+.f64 (.f64 1/24 (pow.f64 x 4)) (+.f64 1 (+.f64 (.f64 1/720 (pow.f64 x 6)) (*.f64 1/2 (pow.f64 x 2)))))
(*.f64 1/2 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))
(*.f64 1/2 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))
(*.f64 1/2 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))
(*.f64 1/2 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))
(*.f64 1/2 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))
(*.f64 1/2 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))
(*.f64 1/2 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))
(*.f64 1/2 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))

Outputs
(/.f64 y (*.f64 z x))
(/.f64 (/.f64 y x) z)
(+.f64 (.f64 1/2 (/.f64 (.f64 y x) z)) (/.f64 y (*.f64 z x)))
(fma.f64 1/2 (/.f64 y (/.f64 z x)) (/.f64 y (*.f64 z x)))
(fma.f64 1/2 (.f64 (/.f64 y z) x) (/.f64 y (.f64 z x)))
(fma.f64 1/2 (/.f64 x (/.f64 z y)) (/.f64 (/.f64 y x) z))
(fma.f64 1/2 (.f64 x (/.f64 y z)) (/.f64 y (.f64 z x)))
(+.f64 (.f64 1/2 (/.f64 (.f64 y x) z)) (+.f64 (/.f64 y (.f64 z x)) (.f64 1/24 (/.f64 (*.f64 y (pow.f64 x 3)) z))))
(+.f64 (fma.f64 1/2 (/.f64 y (/.f64 z x)) (/.f64 y (.f64 z x))) (/.f64 (.f64 (*.f64 1/24 y) (pow.f64 x 3)) z))
(fma.f64 1/2 (.f64 (/.f64 y z) x) (fma.f64 1/24 (.f64 (/.f64 y z) (pow.f64 x 3)) (/.f64 y (*.f64 z x))))
(fma.f64 1/2 (/.f64 x (/.f64 z y)) (fma.f64 1/24 (*.f64 (pow.f64 x 3) (/.f64 y z)) (/.f64 (/.f64 y x) z)))
(+.f64 (/.f64 y (.f64 z x)) (.f64 (/.f64 y z) (fma.f64 x 1/2 (*.f64 1/24 (pow.f64 x 3)))))
(+.f64 (.f64 1/720 (/.f64 (.f64 y (pow.f64 x 5)) z)) (+.f64 (.f64 1/2 (/.f64 (.f64 y x) z)) (+.f64 (/.f64 y (.f64 z x)) (.f64 1/24 (/.f64 (*.f64 y (pow.f64 x 3)) z)))))
(fma.f64 1/720 (/.f64 y (/.f64 z (pow.f64 x 5))) (+.f64 (fma.f64 1/2 (/.f64 y (/.f64 z x)) (/.f64 y (.f64 z x))) (/.f64 (.f64 (*.f64 1/24 y) (pow.f64 x 3)) z)))
(fma.f64 1/720 (/.f64 (pow.f64 x 5) (/.f64 z y)) (fma.f64 1/2 (.f64 (/.f64 y z) x) (fma.f64 1/24 (.f64 (/.f64 y z) (pow.f64 x 3)) (/.f64 y (*.f64 z x)))))
(fma.f64 1/2 (/.f64 x (/.f64 z y)) (fma.f64 1/720 (.f64 (pow.f64 x 5) (/.f64 y z)) (fma.f64 1/24 (.f64 (pow.f64 x 3) (/.f64 y z)) (/.f64 (/.f64 y x) z))))
(+.f64 (/.f64 y (.f64 z x)) (fma.f64 1/2 (.f64 x (/.f64 y z)) (.f64 (/.f64 y z) (fma.f64 1/24 (pow.f64 x 3) (.f64 1/720 (pow.f64 x 5))))))
(/.f64 (+.f64 (.f64 1/2 (.f64 (exp.f64 x) y)) (.f64 1/2 (/.f64 y (exp.f64 x)))) (.f64 z x))
(/.f64 (.f64 1/2 (+.f64 (.f64 y (exp.f64 x)) (/.f64 y (exp.f64 x)))) (*.f64 z x))
(.f64 (/.f64 y (.f64 z x)) (fma.f64 1/2 (exp.f64 x) (/.f64 1/2 (exp.f64 x))))
(*.f64 (/.f64 (/.f64 y x) z) (fma.f64 1/2 (exp.f64 x) (/.f64 1/2 (exp.f64 x))))
(.f64 y (/.f64 (fma.f64 1/2 (exp.f64 x) (/.f64 1/2 (exp.f64 x))) (.f64 z x)))
(/.f64 (+.f64 (.f64 1/2 (.f64 (exp.f64 x) y)) (.f64 1/2 (/.f64 y (exp.f64 x)))) (.f64 z x))
(/.f64 (.f64 1/2 (+.f64 (.f64 y (exp.f64 x)) (/.f64 y (exp.f64 x)))) (*.f64 z x))
(.f64 (/.f64 y (.f64 z x)) (fma.f64 1/2 (exp.f64 x) (/.f64 1/2 (exp.f64 x))))
(*.f64 (/.f64 (/.f64 y x) z) (fma.f64 1/2 (exp.f64 x) (/.f64 1/2 (exp.f64 x))))
(.f64 y (/.f64 (fma.f64 1/2 (exp.f64 x) (/.f64 1/2 (exp.f64 x))) (.f64 z x)))
(/.f64 (+.f64 (.f64 1/2 (.f64 (exp.f64 x) y)) (.f64 1/2 (/.f64 y (exp.f64 x)))) (.f64 z x))
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(*.f64 y (/.f64 (fma.f64 1/2 (exp.f64 x) (/.f64 1/2 (exp.f64 x))) x))
(/.f64 (+.f64 (.f64 1/2 (.f64 (exp.f64 x) y)) (*.f64 1/2 (/.f64 y (exp.f64 x)))) x)
(/.f64 (.f64 1/2 (+.f64 (.f64 y (exp.f64 x)) (/.f64 y (exp.f64 x)))) x)
(*.f64 (/.f64 y x) (fma.f64 1/2 (exp.f64 x) (/.f64 1/2 (exp.f64 x))))
(*.f64 y (/.f64 (fma.f64 1/2 (exp.f64 x) (/.f64 1/2 (exp.f64 x))) x))
(/.f64 (+.f64 (.f64 1/2 (.f64 y (exp.f64 x))) (*.f64 1/2 (/.f64 y (exp.f64 x)))) x)
(/.f64 (.f64 1/2 (+.f64 (.f64 y (exp.f64 x)) (/.f64 y (exp.f64 x)))) x)
(*.f64 (/.f64 y x) (fma.f64 1/2 (exp.f64 x) (/.f64 1/2 (exp.f64 x))))
(*.f64 y (/.f64 (fma.f64 1/2 (exp.f64 x) (/.f64 1/2 (exp.f64 x))) x))
(/.f64 (+.f64 (.f64 1/2 (.f64 y (exp.f64 x))) (*.f64 1/2 (/.f64 y (exp.f64 x)))) x)
(/.f64 (.f64 1/2 (+.f64 (.f64 y (exp.f64 x)) (/.f64 y (exp.f64 x)))) x)
(*.f64 (/.f64 y x) (fma.f64 1/2 (exp.f64 x) (/.f64 1/2 (exp.f64 x))))
(*.f64 y (/.f64 (fma.f64 1/2 (exp.f64 x) (/.f64 1/2 (exp.f64 x))) x))
(/.f64 (+.f64 (.f64 1/2 (.f64 y (exp.f64 x))) (*.f64 1/2 (/.f64 y (exp.f64 x)))) x)
(/.f64 (.f64 1/2 (+.f64 (.f64 y (exp.f64 x)) (/.f64 y (exp.f64 x)))) x)
(*.f64 (/.f64 y x) (fma.f64 1/2 (exp.f64 x) (/.f64 1/2 (exp.f64 x))))
(*.f64 y (/.f64 (fma.f64 1/2 (exp.f64 x) (/.f64 1/2 (exp.f64 x))) x))
(/.f64 (+.f64 (.f64 1/2 (.f64 y (exp.f64 x))) (*.f64 1/2 (/.f64 y (exp.f64 x)))) x)
(/.f64 (.f64 1/2 (+.f64 (.f64 y (exp.f64 x)) (/.f64 y (exp.f64 x)))) x)
(*.f64 (/.f64 y x) (fma.f64 1/2 (exp.f64 x) (/.f64 1/2 (exp.f64 x))))
(*.f64 y (/.f64 (fma.f64 1/2 (exp.f64 x) (/.f64 1/2 (exp.f64 x))) x))
(/.f64 (.f64 y (+.f64 (.f64 1/2 (/.f64 1 (exp.f64 x))) (*.f64 1/2 (exp.f64 x)))) x)
(/.f64 (.f64 1/2 (+.f64 (.f64 y (exp.f64 x)) (/.f64 y (exp.f64 x)))) x)
(*.f64 (/.f64 y x) (fma.f64 1/2 (exp.f64 x) (/.f64 1/2 (exp.f64 x))))
(*.f64 y (/.f64 (fma.f64 1/2 (exp.f64 x) (/.f64 1/2 (exp.f64 x))) x))
(/.f64 (.f64 y (+.f64 (.f64 1/2 (/.f64 1 (exp.f64 x))) (*.f64 1/2 (exp.f64 x)))) x)
(/.f64 (.f64 1/2 (+.f64 (.f64 y (exp.f64 x)) (/.f64 y (exp.f64 x)))) x)
(*.f64 (/.f64 y x) (fma.f64 1/2 (exp.f64 x) (/.f64 1/2 (exp.f64 x))))
(*.f64 y (/.f64 (fma.f64 1/2 (exp.f64 x) (/.f64 1/2 (exp.f64 x))) x))
(/.f64 (.f64 y (+.f64 (.f64 1/2 (/.f64 1 (exp.f64 x))) (*.f64 1/2 (exp.f64 x)))) x)
(/.f64 (.f64 1/2 (+.f64 (.f64 y (exp.f64 x)) (/.f64 y (exp.f64 x)))) x)
(*.f64 (/.f64 y x) (fma.f64 1/2 (exp.f64 x) (/.f64 1/2 (exp.f64 x))))
(*.f64 y (/.f64 (fma.f64 1/2 (exp.f64 x) (/.f64 1/2 (exp.f64 x))) x))
(/.f64 (.f64 y (+.f64 (.f64 1/2 (/.f64 1 (exp.f64 x))) (*.f64 1/2 (exp.f64 x)))) x)
(/.f64 (.f64 1/2 (+.f64 (.f64 y (exp.f64 x)) (/.f64 y (exp.f64 x)))) x)
(*.f64 (/.f64 y x) (fma.f64 1/2 (exp.f64 x) (/.f64 1/2 (exp.f64 x))))
(*.f64 y (/.f64 (fma.f64 1/2 (exp.f64 x) (/.f64 1/2 (exp.f64 x))) x))
(.f64 1/2 (/.f64 (.f64 y (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))) x))
(/.f64 (.f64 1/2 (+.f64 (.f64 y (exp.f64 x)) (/.f64 y (exp.f64 x)))) x)
(*.f64 (/.f64 y x) (fma.f64 1/2 (exp.f64 x) (/.f64 1/2 (exp.f64 x))))
(*.f64 y (/.f64 (fma.f64 1/2 (exp.f64 x) (/.f64 1/2 (exp.f64 x))) x))
(.f64 1/2 (/.f64 (.f64 y (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))) x))
(/.f64 (.f64 1/2 (+.f64 (.f64 y (exp.f64 x)) (/.f64 y (exp.f64 x)))) x)
(*.f64 (/.f64 y x) (fma.f64 1/2 (exp.f64 x) (/.f64 1/2 (exp.f64 x))))
(*.f64 y (/.f64 (fma.f64 1/2 (exp.f64 x) (/.f64 1/2 (exp.f64 x))) x))
(.f64 1/2 (/.f64 (.f64 y (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))) x))
(/.f64 (.f64 1/2 (+.f64 (.f64 y (exp.f64 x)) (/.f64 y (exp.f64 x)))) x)
(*.f64 (/.f64 y x) (fma.f64 1/2 (exp.f64 x) (/.f64 1/2 (exp.f64 x))))
(*.f64 y (/.f64 (fma.f64 1/2 (exp.f64 x) (/.f64 1/2 (exp.f64 x))) x))
(.f64 1/2 (/.f64 (.f64 y (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))) x))
(/.f64 (.f64 1/2 (+.f64 (.f64 y (exp.f64 x)) (/.f64 y (exp.f64 x)))) x)
(*.f64 (/.f64 y x) (fma.f64 1/2 (exp.f64 x) (/.f64 1/2 (exp.f64 x))))
(*.f64 y (/.f64 (fma.f64 1/2 (exp.f64 x) (/.f64 1/2 (exp.f64 x))) x))
(.f64 1/2 (/.f64 (.f64 y (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))) x))
(/.f64 (.f64 1/2 (+.f64 (.f64 y (exp.f64 x)) (/.f64 y (exp.f64 x)))) x)
(*.f64 (/.f64 y x) (fma.f64 1/2 (exp.f64 x) (/.f64 1/2 (exp.f64 x))))
(*.f64 y (/.f64 (fma.f64 1/2 (exp.f64 x) (/.f64 1/2 (exp.f64 x))) x))
(.f64 1/2 (/.f64 (.f64 y (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))) x))
(/.f64 (.f64 1/2 (+.f64 (.f64 y (exp.f64 x)) (/.f64 y (exp.f64 x)))) x)
(*.f64 (/.f64 y x) (fma.f64 1/2 (exp.f64 x) (/.f64 1/2 (exp.f64 x))))
(*.f64 y (/.f64 (fma.f64 1/2 (exp.f64 x) (/.f64 1/2 (exp.f64 x))) x))
(.f64 1/2 (/.f64 (.f64 y (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))) x))
(/.f64 (.f64 1/2 (+.f64 (.f64 y (exp.f64 x)) (/.f64 y (exp.f64 x)))) x)
(*.f64 (/.f64 y x) (fma.f64 1/2 (exp.f64 x) (/.f64 1/2 (exp.f64 x))))
(*.f64 y (/.f64 (fma.f64 1/2 (exp.f64 x) (/.f64 1/2 (exp.f64 x))) x))
(.f64 1/2 (/.f64 (.f64 y (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))) x))
(/.f64 (.f64 1/2 (+.f64 (.f64 y (exp.f64 x)) (/.f64 y (exp.f64 x)))) x)
(*.f64 (/.f64 y x) (fma.f64 1/2 (exp.f64 x) (/.f64 1/2 (exp.f64 x))))
(*.f64 y (/.f64 (fma.f64 1/2 (exp.f64 x) (/.f64 1/2 (exp.f64 x))) 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)
(fma.f64 x (*.f64 x 1/2) 1)
(+.f64 (.f64 1/24 (pow.f64 x 4)) (+.f64 1 (.f64 1/2 (pow.f64 x 2))))
(fma.f64 1/24 (pow.f64 x 4) (+.f64 1 (.f64 1/2 (.f64 x x))))
(fma.f64 1/24 (pow.f64 x 4) (fma.f64 1/2 (*.f64 x x) 1))
(fma.f64 x (*.f64 x 1/2) (fma.f64 1/24 (pow.f64 x 4) 1))
(fma.f64 1/24 (pow.f64 x 4) (fma.f64 x (*.f64 x 1/2) 1))
(+.f64 (.f64 1/24 (pow.f64 x 4)) (+.f64 1 (+.f64 (.f64 1/720 (pow.f64 x 6)) (*.f64 1/2 (pow.f64 x 2)))))
(fma.f64 1/24 (pow.f64 x 4) (+.f64 1 (fma.f64 1/720 (pow.f64 x 6) (.f64 1/2 (.f64 x x)))))
(+.f64 (fma.f64 1/720 (pow.f64 x 6) (.f64 x (.f64 x 1/2))) (fma.f64 1/24 (pow.f64 x 4) 1))
(fma.f64 1/24 (pow.f64 x 4) (fma.f64 x (*.f64 x 1/2) (fma.f64 1/720 (pow.f64 x 6) 1)))
(fma.f64 x (*.f64 x 1/2) (fma.f64 1/24 (pow.f64 x 4) (fma.f64 1/720 (pow.f64 x 6) 1)))
(*.f64 1/2 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))
(*.f64 1/2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(fma.f64 1/2 (exp.f64 x) (/.f64 1/2 (exp.f64 x)))
(*.f64 1/2 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))
(*.f64 1/2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(fma.f64 1/2 (exp.f64 x) (/.f64 1/2 (exp.f64 x)))
(*.f64 1/2 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))
(*.f64 1/2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(fma.f64 1/2 (exp.f64 x) (/.f64 1/2 (exp.f64 x)))
(*.f64 1/2 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))
(*.f64 1/2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(fma.f64 1/2 (exp.f64 x) (/.f64 1/2 (exp.f64 x)))
(*.f64 1/2 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))
(*.f64 1/2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(fma.f64 1/2 (exp.f64 x) (/.f64 1/2 (exp.f64 x)))
(*.f64 1/2 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))
(*.f64 1/2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(fma.f64 1/2 (exp.f64 x) (/.f64 1/2 (exp.f64 x)))
(*.f64 1/2 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))
(*.f64 1/2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(fma.f64 1/2 (exp.f64 x) (/.f64 1/2 (exp.f64 x)))
(*.f64 1/2 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))
(*.f64 1/2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(fma.f64 1/2 (exp.f64 x) (/.f64 1/2 (exp.f64 x)))

prune123.0ms (1.8%)

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	140	7	147
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	140	9	149

Error

0.0b

Counts

149 → 9

Alt Table

Status	Error	Program
	7.2b	(/.f64 (cosh.f64 x) (*.f64 x (/.f64 z y)))
	6.3b	(.f64 (pow.f64 (cbrt.f64 (.f64 (cosh.f64 x) (/.f64 y x))) 2) (.f64 (cbrt.f64 (.f64 (cosh.f64 x) (/.f64 y x))) (/.f64 1 z)))
✓	5.5b	(/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z)
▶	5.6b	(/.f64 (/.f64 (cosh.f64 x) (/.f64 x y)) z)
	8.9b	(.f64 1/2 (/.f64 (.f64 y (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))) (*.f64 z x)))
	6.3b	(/.f64 (pow.f64 (cbrt.f64 (*.f64 (cosh.f64 x) (/.f64 y x))) 3) z)
	6.7b	(pow.f64 (cbrt.f64 (*.f64 (/.f64 (cosh.f64 x) z) (/.f64 y x))) 3)
	34.7b	(.f64 (/.f64 (sqrt.f64 (.f64 (cosh.f64 x) (/.f64 y x))) 1) (/.f64 (sqrt.f64 (*.f64 (cosh.f64 x) (/.f64 y x))) z))
	5.8b	(*.f64 (/.f64 (cosh.f64 x) z) (/.f64 y x))

Compiler

Compiled 2285 to 945 computations (58.6% saved)

localize5.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
	0.0b	(cosh.f64 x)
✓	0.3b	(/.f64 (cosh.f64 x) (/.f64 x y))
✓	5.1b	(/.f64 (/.f64 (cosh.f64 x) (/.f64 x y)) z)

series5.0ms (0.1%)

Counts

2 → 60

Calls

15 calls:

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

rewrite55.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

575×	`log-prod_binary64`
208×	`log-div_binary64`
176×	`expm1-udef_binary64`
176×	`log1p-udef_binary64`
148×	`log-pow_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	21
1	182	21
2	2848	21

Stop Event

1×	node limit

Counts

2 → 93

Calls

Call 1

Inputs
(/.f64 (/.f64 (cosh.f64 x) (/.f64 x y)) z)
(/.f64 (cosh.f64 x) (/.f64 x y))

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

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

simplify113.0ms (1.7%)

Algorithm

1×	egg-herbie

Rules

535×	`fma-def_binary64`
473×	`associate-/r/_binary64`
443×	`associate-/r*_binary64`
320×	`associate-/l/_binary64`
298×	`associate-/l*_binary64`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	62	1308
1	189	1196
2	477	1196
3	1219	1182
4	3334	1174

Stop Event

1×	node limit

Counts

153 → 118

Calls

Call 1

Inputs
(/.f64 y (*.f64 z x))
(+.f64 (.f64 1/2 (/.f64 (.f64 y x) z)) (/.f64 y (*.f64 z x)))
(+.f64 (.f64 1/2 (/.f64 (.f64 y x) z)) (+.f64 (/.f64 y (.f64 z x)) (.f64 1/24 (/.f64 (*.f64 y (pow.f64 x 3)) z))))
(+.f64 (.f64 1/720 (/.f64 (.f64 y (pow.f64 x 5)) z)) (+.f64 (.f64 1/2 (/.f64 (.f64 y x) z)) (+.f64 (/.f64 y (.f64 z x)) (.f64 1/24 (/.f64 (*.f64 y (pow.f64 x 3)) z)))))
(/.f64 (+.f64 (.f64 1/2 (.f64 (exp.f64 x) y)) (.f64 1/2 (/.f64 y (exp.f64 x)))) (.f64 z x))
(/.f64 (+.f64 (.f64 1/2 (.f64 (exp.f64 x) y)) (.f64 1/2 (/.f64 y (exp.f64 x)))) (.f64 z x))
(/.f64 (+.f64 (.f64 1/2 (.f64 (exp.f64 x) y)) (.f64 1/2 (/.f64 y (exp.f64 x)))) (.f64 z x))
(/.f64 (+.f64 (.f64 1/2 (.f64 (exp.f64 x) y)) (.f64 1/2 (/.f64 y (exp.f64 x)))) (.f64 z x))
(/.f64 (+.f64 (.f64 1/2 (.f64 y (exp.f64 x))) (.f64 1/2 (/.f64 y (exp.f64 x)))) (.f64 z x))
(/.f64 (+.f64 (.f64 1/2 (.f64 y (exp.f64 x))) (.f64 1/2 (/.f64 y (exp.f64 x)))) (.f64 z x))
(/.f64 (+.f64 (.f64 1/2 (.f64 y (exp.f64 x))) (.f64 1/2 (/.f64 y (exp.f64 x)))) (.f64 z x))
(/.f64 (+.f64 (.f64 1/2 (.f64 y (exp.f64 x))) (.f64 1/2 (/.f64 y (exp.f64 x)))) (.f64 z x))
(/.f64 (.f64 y (+.f64 (.f64 1/2 (/.f64 1 (exp.f64 x))) (.f64 1/2 (exp.f64 x)))) (.f64 z x))
(/.f64 (.f64 y (+.f64 (.f64 1/2 (/.f64 1 (exp.f64 x))) (.f64 1/2 (exp.f64 x)))) (.f64 z x))
(/.f64 (.f64 y (+.f64 (.f64 1/2 (/.f64 1 (exp.f64 x))) (.f64 1/2 (exp.f64 x)))) (.f64 z x))
(/.f64 (.f64 y (+.f64 (.f64 1/2 (/.f64 1 (exp.f64 x))) (.f64 1/2 (exp.f64 x)))) (.f64 z x))
(.f64 1/2 (/.f64 (.f64 y (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))) (*.f64 z x)))
(.f64 1/2 (/.f64 (.f64 y (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))) (*.f64 z x)))
(.f64 1/2 (/.f64 (.f64 y (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))) (*.f64 z x)))
(.f64 1/2 (/.f64 (.f64 y (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))) (*.f64 z x)))
(.f64 1/2 (/.f64 (.f64 y (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))) (*.f64 z x)))
(.f64 1/2 (/.f64 (.f64 y (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))) (*.f64 z x)))
(.f64 1/2 (/.f64 (.f64 y (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))) (*.f64 z x)))
(.f64 1/2 (/.f64 (.f64 y (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))) (*.f64 z x)))
(.f64 1/2 (/.f64 (.f64 y (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))) (*.f64 z x)))
(.f64 1/2 (/.f64 (.f64 y (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))) (*.f64 z x)))
(.f64 1/2 (/.f64 (.f64 y (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))) (*.f64 z x)))
(.f64 1/2 (/.f64 (.f64 y (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))) (*.f64 z x)))
(/.f64 (+.f64 (.f64 1/2 (.f64 y (exp.f64 x))) (.f64 1/2 (/.f64 y (exp.f64 x)))) (.f64 z x))
(/.f64 (+.f64 (.f64 1/2 (.f64 y (exp.f64 x))) (.f64 1/2 (/.f64 y (exp.f64 x)))) (.f64 z x))
(/.f64 (+.f64 (.f64 1/2 (.f64 y (exp.f64 x))) (.f64 1/2 (/.f64 y (exp.f64 x)))) (.f64 z x))
(/.f64 (+.f64 (.f64 1/2 (.f64 y (exp.f64 x))) (.f64 1/2 (/.f64 y (exp.f64 x)))) (.f64 z x))
(/.f64 (+.f64 (.f64 1/2 (.f64 y (exp.f64 x))) (.f64 1/2 (/.f64 y (exp.f64 x)))) (.f64 z x))
(/.f64 (+.f64 (.f64 1/2 (.f64 y (exp.f64 x))) (.f64 1/2 (/.f64 y (exp.f64 x)))) (.f64 z x))
(/.f64 (+.f64 (.f64 1/2 (.f64 y (exp.f64 x))) (.f64 1/2 (/.f64 y (exp.f64 x)))) (.f64 z x))
(/.f64 (+.f64 (.f64 1/2 (.f64 y (exp.f64 x))) (.f64 1/2 (/.f64 y (exp.f64 x)))) (.f64 z x))
(/.f64 y x)
(+.f64 (.f64 1/2 (.f64 y x)) (/.f64 y x))
(+.f64 (.f64 1/2 (.f64 y x)) (+.f64 (/.f64 y x) (.f64 1/24 (.f64 y (pow.f64 x 3)))))
(+.f64 (.f64 1/2 (.f64 y x)) (+.f64 (.f64 1/720 (.f64 y (pow.f64 x 5))) (+.f64 (/.f64 y x) (.f64 1/24 (.f64 y (pow.f64 x 3))))))
(/.f64 (+.f64 (.f64 1/2 (.f64 (exp.f64 x) y)) (*.f64 1/2 (/.f64 y (exp.f64 x)))) x)
(/.f64 (+.f64 (.f64 1/2 (.f64 (exp.f64 x) y)) (*.f64 1/2 (/.f64 y (exp.f64 x)))) x)
(/.f64 (+.f64 (.f64 1/2 (.f64 (exp.f64 x) y)) (*.f64 1/2 (/.f64 y (exp.f64 x)))) x)
(/.f64 (+.f64 (.f64 1/2 (.f64 (exp.f64 x) y)) (*.f64 1/2 (/.f64 y (exp.f64 x)))) x)
(/.f64 (+.f64 (.f64 1/2 (.f64 y (exp.f64 x))) (*.f64 1/2 (/.f64 y (exp.f64 x)))) x)
(/.f64 (+.f64 (.f64 1/2 (.f64 y (exp.f64 x))) (*.f64 1/2 (/.f64 y (exp.f64 x)))) x)
(/.f64 (+.f64 (.f64 1/2 (.f64 y (exp.f64 x))) (*.f64 1/2 (/.f64 y (exp.f64 x)))) x)
(/.f64 (+.f64 (.f64 1/2 (.f64 y (exp.f64 x))) (*.f64 1/2 (/.f64 y (exp.f64 x)))) x)
(/.f64 (.f64 y (+.f64 (.f64 1/2 (/.f64 1 (exp.f64 x))) (*.f64 1/2 (exp.f64 x)))) x)
(/.f64 (.f64 y (+.f64 (.f64 1/2 (/.f64 1 (exp.f64 x))) (*.f64 1/2 (exp.f64 x)))) x)
(/.f64 (.f64 y (+.f64 (.f64 1/2 (/.f64 1 (exp.f64 x))) (*.f64 1/2 (exp.f64 x)))) x)
(/.f64 (.f64 y (+.f64 (.f64 1/2 (/.f64 1 (exp.f64 x))) (*.f64 1/2 (exp.f64 x)))) x)
(.f64 1/2 (/.f64 (.f64 y (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))) x))
(.f64 1/2 (/.f64 (.f64 y (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))) x))
(.f64 1/2 (/.f64 (.f64 y (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))) x))
(.f64 1/2 (/.f64 (.f64 y (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))) x))
(.f64 1/2 (/.f64 (.f64 y (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))) x))
(.f64 1/2 (/.f64 (.f64 y (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))) x))
(.f64 1/2 (/.f64 (.f64 y (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))) x))
(.f64 1/2 (/.f64 (.f64 y (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))) x))

Outputs
(/.f64 y (*.f64 z x))
(/.f64 (/.f64 y x) z)
(+.f64 (.f64 1/2 (/.f64 (.f64 y x) z)) (/.f64 y (*.f64 z x)))
(fma.f64 1/2 (/.f64 y (/.f64 z x)) (/.f64 y (*.f64 z x)))
(fma.f64 1/2 (.f64 (/.f64 y z) x) (/.f64 y (.f64 z x)))
(fma.f64 1/2 (.f64 x (/.f64 y z)) (/.f64 y (.f64 z x)))
(fma.f64 1/2 (*.f64 x (/.f64 y z)) (/.f64 (/.f64 y x) z))
(.f64 (/.f64 y z) (+.f64 (/.f64 1 x) (.f64 x 1/2)))
(+.f64 (.f64 1/2 (/.f64 (.f64 y x) z)) (+.f64 (/.f64 y (.f64 z x)) (.f64 1/24 (/.f64 (*.f64 y (pow.f64 x 3)) z))))
(+.f64 (fma.f64 1/2 (/.f64 y (/.f64 z x)) (/.f64 y (.f64 z x))) (.f64 1/24 (/.f64 (*.f64 y (pow.f64 x 3)) z)))
(fma.f64 1/2 (.f64 (/.f64 y z) x) (fma.f64 1/24 (.f64 (/.f64 y z) (pow.f64 x 3)) (/.f64 y (*.f64 z x))))
(fma.f64 1/2 (.f64 x (/.f64 y z)) (fma.f64 1/24 (.f64 (pow.f64 x 3) (/.f64 y z)) (/.f64 y (*.f64 z x))))
(+.f64 (/.f64 (/.f64 y x) z) (.f64 (/.f64 y z) (fma.f64 x 1/2 (.f64 1/24 (pow.f64 x 3)))))
(.f64 (/.f64 y z) (+.f64 (/.f64 1 x) (fma.f64 x 1/2 (.f64 1/24 (pow.f64 x 3)))))
(+.f64 (.f64 1/720 (/.f64 (.f64 y (pow.f64 x 5)) z)) (+.f64 (.f64 1/2 (/.f64 (.f64 y x) z)) (+.f64 (/.f64 y (.f64 z x)) (.f64 1/24 (/.f64 (*.f64 y (pow.f64 x 3)) z)))))
(fma.f64 1/720 (/.f64 y (/.f64 z (pow.f64 x 5))) (+.f64 (fma.f64 1/2 (/.f64 y (/.f64 z x)) (/.f64 y (.f64 z x))) (.f64 1/24 (/.f64 (*.f64 y (pow.f64 x 3)) z))))
(fma.f64 1/720 (.f64 (/.f64 y z) (pow.f64 x 5)) (fma.f64 1/2 (.f64 (/.f64 y z) x) (fma.f64 1/24 (.f64 (/.f64 y z) (pow.f64 x 3)) (/.f64 y (.f64 z x)))))
(fma.f64 1/2 (.f64 x (/.f64 y z)) (fma.f64 1/720 (.f64 (pow.f64 x 5) (/.f64 y z)) (fma.f64 1/24 (.f64 (pow.f64 x 3) (/.f64 y z)) (/.f64 y (.f64 z x)))))
(+.f64 (fma.f64 1/24 (.f64 (pow.f64 x 3) (/.f64 y z)) (/.f64 (/.f64 y x) z)) (.f64 (/.f64 y z) (fma.f64 1/720 (pow.f64 x 5) (*.f64 x 1/2))))
(+.f64 (/.f64 y (.f64 z x)) (.f64 (/.f64 y z) (+.f64 (fma.f64 1/24 (pow.f64 x 3) (.f64 1/720 (pow.f64 x 5))) (.f64 x 1/2))))
(/.f64 (+.f64 (.f64 1/2 (.f64 (exp.f64 x) y)) (.f64 1/2 (/.f64 y (exp.f64 x)))) (.f64 z x))
(/.f64 (.f64 1/2 (+.f64 (.f64 y (exp.f64 x)) (/.f64 y (exp.f64 x)))) (*.f64 z x))
(.f64 (/.f64 y (.f64 z x)) (fma.f64 1/2 (exp.f64 x) (/.f64 1/2 (exp.f64 x))))
(.f64 1/2 (/.f64 (fma.f64 y (exp.f64 x) (/.f64 y (exp.f64 x))) (.f64 z x)))
(*.f64 (/.f64 (/.f64 y x) z) (fma.f64 1/2 (exp.f64 x) (/.f64 1/2 (exp.f64 x))))
(/.f64 (+.f64 (.f64 1/2 (.f64 (exp.f64 x) y)) (.f64 1/2 (/.f64 y (exp.f64 x)))) (.f64 z x))
(/.f64 (.f64 1/2 (+.f64 (.f64 y (exp.f64 x)) (/.f64 y (exp.f64 x)))) (*.f64 z x))
(.f64 (/.f64 y (.f64 z x)) (fma.f64 1/2 (exp.f64 x) (/.f64 1/2 (exp.f64 x))))
(.f64 1/2 (/.f64 (fma.f64 y (exp.f64 x) (/.f64 y (exp.f64 x))) (.f64 z x)))
(*.f64 (/.f64 (/.f64 y x) z) (fma.f64 1/2 (exp.f64 x) (/.f64 1/2 (exp.f64 x))))
(/.f64 (+.f64 (.f64 1/2 (.f64 (exp.f64 x) y)) (.f64 1/2 (/.f64 y (exp.f64 x)))) (.f64 z x))
(/.f64 (.f64 1/2 (+.f64 (.f64 y (exp.f64 x)) (/.f64 y (exp.f64 x)))) (*.f64 z x))
(.f64 (/.f64 y (.f64 z x)) (fma.f64 1/2 (exp.f64 x) (/.f64 1/2 (exp.f64 x))))
(.f64 1/2 (/.f64 (fma.f64 y (exp.f64 x) (/.f64 y (exp.f64 x))) (.f64 z x)))
(*.f64 (/.f64 (/.f64 y x) z) (fma.f64 1/2 (exp.f64 x) (/.f64 1/2 (exp.f64 x))))
(/.f64 (+.f64 (.f64 1/2 (.f64 (exp.f64 x) y)) (.f64 1/2 (/.f64 y (exp.f64 x)))) (.f64 z x))
(/.f64 (.f64 1/2 (+.f64 (.f64 y (exp.f64 x)) (/.f64 y (exp.f64 x)))) (*.f64 z x))
(.f64 (/.f64 y (.f64 z x)) (fma.f64 1/2 (exp.f64 x) (/.f64 1/2 (exp.f64 x))))
(.f64 1/2 (/.f64 (fma.f64 y (exp.f64 x) (/.f64 y (exp.f64 x))) (.f64 z x)))
(*.f64 (/.f64 (/.f64 y x) z) (fma.f64 1/2 (exp.f64 x) (/.f64 1/2 (exp.f64 x))))
(/.f64 (+.f64 (.f64 1/2 (.f64 y (exp.f64 x))) (.f64 1/2 (/.f64 y (exp.f64 x)))) (.f64 z x))
(/.f64 (.f64 1/2 (+.f64 (.f64 y (exp.f64 x)) (/.f64 y (exp.f64 x)))) (*.f64 z x))
(.f64 (/.f64 y (.f64 z x)) (fma.f64 1/2 (exp.f64 x) (/.f64 1/2 (exp.f64 x))))
(.f64 1/2 (/.f64 (fma.f64 y (exp.f64 x) (/.f64 y (exp.f64 x))) (.f64 z x)))
(*.f64 (/.f64 (/.f64 y x) z) (fma.f64 1/2 (exp.f64 x) (/.f64 1/2 (exp.f64 x))))
(/.f64 (+.f64 (.f64 1/2 (.f64 y (exp.f64 x))) (.f64 1/2 (/.f64 y (exp.f64 x)))) (.f64 z x))
(/.f64 (.f64 1/2 (+.f64 (.f64 y (exp.f64 x)) (/.f64 y (exp.f64 x)))) (*.f64 z x))
(.f64 (/.f64 y (.f64 z x)) (fma.f64 1/2 (exp.f64 x) (/.f64 1/2 (exp.f64 x))))
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(/.f64 (.f64 1/2 (+.f64 (.f64 y (exp.f64 x)) (/.f64 y (exp.f64 x)))) x)
(*.f64 (/.f64 y x) (fma.f64 1/2 (exp.f64 x) (/.f64 1/2 (exp.f64 x))))
(*.f64 (/.f64 1/2 x) (fma.f64 y (exp.f64 x) (/.f64 y (exp.f64 x))))
(*.f64 (fma.f64 1/2 (exp.f64 x) (/.f64 1/2 (exp.f64 x))) (/.f64 y x))
(/.f64 (+.f64 (.f64 1/2 (.f64 y (exp.f64 x))) (*.f64 1/2 (/.f64 y (exp.f64 x)))) x)
(/.f64 (.f64 1/2 (+.f64 (.f64 y (exp.f64 x)) (/.f64 y (exp.f64 x)))) x)
(*.f64 (/.f64 y x) (fma.f64 1/2 (exp.f64 x) (/.f64 1/2 (exp.f64 x))))
(*.f64 (/.f64 1/2 x) (fma.f64 y (exp.f64 x) (/.f64 y (exp.f64 x))))
(*.f64 (fma.f64 1/2 (exp.f64 x) (/.f64 1/2 (exp.f64 x))) (/.f64 y x))
(/.f64 (.f64 y (+.f64 (.f64 1/2 (/.f64 1 (exp.f64 x))) (*.f64 1/2 (exp.f64 x)))) x)
(/.f64 (.f64 1/2 (+.f64 (.f64 y (exp.f64 x)) (/.f64 y (exp.f64 x)))) x)
(*.f64 (/.f64 y x) (fma.f64 1/2 (exp.f64 x) (/.f64 1/2 (exp.f64 x))))
(*.f64 (/.f64 1/2 x) (fma.f64 y (exp.f64 x) (/.f64 y (exp.f64 x))))
(*.f64 (fma.f64 1/2 (exp.f64 x) (/.f64 1/2 (exp.f64 x))) (/.f64 y x))
(/.f64 (.f64 y (+.f64 (.f64 1/2 (/.f64 1 (exp.f64 x))) (*.f64 1/2 (exp.f64 x)))) x)
(/.f64 (.f64 1/2 (+.f64 (.f64 y (exp.f64 x)) (/.f64 y (exp.f64 x)))) x)
(*.f64 (/.f64 y x) (fma.f64 1/2 (exp.f64 x) (/.f64 1/2 (exp.f64 x))))
(*.f64 (/.f64 1/2 x) (fma.f64 y (exp.f64 x) (/.f64 y (exp.f64 x))))
(*.f64 (fma.f64 1/2 (exp.f64 x) (/.f64 1/2 (exp.f64 x))) (/.f64 y x))
(/.f64 (.f64 y (+.f64 (.f64 1/2 (/.f64 1 (exp.f64 x))) (*.f64 1/2 (exp.f64 x)))) x)
(/.f64 (.f64 1/2 (+.f64 (.f64 y (exp.f64 x)) (/.f64 y (exp.f64 x)))) x)
(*.f64 (/.f64 y x) (fma.f64 1/2 (exp.f64 x) (/.f64 1/2 (exp.f64 x))))
(*.f64 (/.f64 1/2 x) (fma.f64 y (exp.f64 x) (/.f64 y (exp.f64 x))))
(*.f64 (fma.f64 1/2 (exp.f64 x) (/.f64 1/2 (exp.f64 x))) (/.f64 y x))
(/.f64 (.f64 y (+.f64 (.f64 1/2 (/.f64 1 (exp.f64 x))) (*.f64 1/2 (exp.f64 x)))) x)
(/.f64 (.f64 1/2 (+.f64 (.f64 y (exp.f64 x)) (/.f64 y (exp.f64 x)))) x)
(*.f64 (/.f64 y x) (fma.f64 1/2 (exp.f64 x) (/.f64 1/2 (exp.f64 x))))
(*.f64 (/.f64 1/2 x) (fma.f64 y (exp.f64 x) (/.f64 y (exp.f64 x))))
(*.f64 (fma.f64 1/2 (exp.f64 x) (/.f64 1/2 (exp.f64 x))) (/.f64 y x))
(.f64 1/2 (/.f64 (.f64 y (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))) x))
(/.f64 (.f64 1/2 (+.f64 (.f64 y (exp.f64 x)) (/.f64 y (exp.f64 x)))) x)
(*.f64 (/.f64 y x) (fma.f64 1/2 (exp.f64 x) (/.f64 1/2 (exp.f64 x))))
(*.f64 (/.f64 1/2 x) (fma.f64 y (exp.f64 x) (/.f64 y (exp.f64 x))))
(*.f64 (fma.f64 1/2 (exp.f64 x) (/.f64 1/2 (exp.f64 x))) (/.f64 y x))
(.f64 1/2 (/.f64 (.f64 y (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))) x))
(/.f64 (.f64 1/2 (+.f64 (.f64 y (exp.f64 x)) (/.f64 y (exp.f64 x)))) x)
(*.f64 (/.f64 y x) (fma.f64 1/2 (exp.f64 x) (/.f64 1/2 (exp.f64 x))))
(*.f64 (/.f64 1/2 x) (fma.f64 y (exp.f64 x) (/.f64 y (exp.f64 x))))
(*.f64 (fma.f64 1/2 (exp.f64 x) (/.f64 1/2 (exp.f64 x))) (/.f64 y x))
(.f64 1/2 (/.f64 (.f64 y (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))) x))
(/.f64 (.f64 1/2 (+.f64 (.f64 y (exp.f64 x)) (/.f64 y (exp.f64 x)))) x)
(*.f64 (/.f64 y x) (fma.f64 1/2 (exp.f64 x) (/.f64 1/2 (exp.f64 x))))
(*.f64 (/.f64 1/2 x) (fma.f64 y (exp.f64 x) (/.f64 y (exp.f64 x))))
(*.f64 (fma.f64 1/2 (exp.f64 x) (/.f64 1/2 (exp.f64 x))) (/.f64 y x))
(.f64 1/2 (/.f64 (.f64 y (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))) x))
(/.f64 (.f64 1/2 (+.f64 (.f64 y (exp.f64 x)) (/.f64 y (exp.f64 x)))) x)
(*.f64 (/.f64 y x) (fma.f64 1/2 (exp.f64 x) (/.f64 1/2 (exp.f64 x))))
(*.f64 (/.f64 1/2 x) (fma.f64 y (exp.f64 x) (/.f64 y (exp.f64 x))))
(*.f64 (fma.f64 1/2 (exp.f64 x) (/.f64 1/2 (exp.f64 x))) (/.f64 y x))
(.f64 1/2 (/.f64 (.f64 y (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))) x))
(/.f64 (.f64 1/2 (+.f64 (.f64 y (exp.f64 x)) (/.f64 y (exp.f64 x)))) x)
(*.f64 (/.f64 y x) (fma.f64 1/2 (exp.f64 x) (/.f64 1/2 (exp.f64 x))))
(*.f64 (/.f64 1/2 x) (fma.f64 y (exp.f64 x) (/.f64 y (exp.f64 x))))
(*.f64 (fma.f64 1/2 (exp.f64 x) (/.f64 1/2 (exp.f64 x))) (/.f64 y x))
(.f64 1/2 (/.f64 (.f64 y (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))) x))
(/.f64 (.f64 1/2 (+.f64 (.f64 y (exp.f64 x)) (/.f64 y (exp.f64 x)))) x)
(*.f64 (/.f64 y x) (fma.f64 1/2 (exp.f64 x) (/.f64 1/2 (exp.f64 x))))
(*.f64 (/.f64 1/2 x) (fma.f64 y (exp.f64 x) (/.f64 y (exp.f64 x))))
(*.f64 (fma.f64 1/2 (exp.f64 x) (/.f64 1/2 (exp.f64 x))) (/.f64 y x))
(.f64 1/2 (/.f64 (.f64 y (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))) x))
(/.f64 (.f64 1/2 (+.f64 (.f64 y (exp.f64 x)) (/.f64 y (exp.f64 x)))) x)
(*.f64 (/.f64 y x) (fma.f64 1/2 (exp.f64 x) (/.f64 1/2 (exp.f64 x))))
(*.f64 (/.f64 1/2 x) (fma.f64 y (exp.f64 x) (/.f64 y (exp.f64 x))))
(*.f64 (fma.f64 1/2 (exp.f64 x) (/.f64 1/2 (exp.f64 x))) (/.f64 y x))
(.f64 1/2 (/.f64 (.f64 y (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))) x))
(/.f64 (.f64 1/2 (+.f64 (.f64 y (exp.f64 x)) (/.f64 y (exp.f64 x)))) x)
(*.f64 (/.f64 y x) (fma.f64 1/2 (exp.f64 x) (/.f64 1/2 (exp.f64 x))))
(*.f64 (/.f64 1/2 x) (fma.f64 y (exp.f64 x) (/.f64 y (exp.f64 x))))
(*.f64 (fma.f64 1/2 (exp.f64 x) (/.f64 1/2 (exp.f64 x))) (/.f64 y x))

prune141.0ms (2.1%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	151	3	154
Fresh	3	4	7
Picked	1	0	1
Done	0	1	1
Total	155	8	163

Error

0.0b

Counts

163 → 8

Alt Table

Status	Error	Program
✓	5.5b	(/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z)
	7.0b	(*.f64 (/.f64 (/.f64 (cosh.f64 x) x) 1) (/.f64 y z))
	6.0b	(pow.f64 (cbrt.f64 (/.f64 (cosh.f64 x) (*.f64 (/.f64 x y) z))) 3)
	34.7b	(.f64 (/.f64 (sqrt.f64 (.f64 (cosh.f64 x) (/.f64 y x))) 1) (/.f64 (sqrt.f64 (*.f64 (cosh.f64 x) (/.f64 y x))) z))
	7.2b	(/.f64 (cosh.f64 x) (*.f64 x (/.f64 z y)))
▶	5.6b	(*.f64 (/.f64 (sqrt.f64 (cosh.f64 x)) z) (/.f64 (sqrt.f64 (cosh.f64 x)) (/.f64 x y)))
	8.9b	(.f64 1/2 (/.f64 (.f64 y (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))) (*.f64 z x)))
	6.3b	(/.f64 (pow.f64 (cbrt.f64 (*.f64 (cosh.f64 x) (/.f64 y x))) 3) z)

Compiler

Compiled 2391 to 946 computations (60.4% saved)

localize7.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(sqrt.f64 (cosh.f64 x))
✓	0.0b	(/.f64 (sqrt.f64 (cosh.f64 x)) z)
✓	0.3b	(/.f64 (sqrt.f64 (cosh.f64 x)) (/.f64 x y))
✓	5.2b	(*.f64 (/.f64 (sqrt.f64 (cosh.f64 x)) z) (/.f64 (sqrt.f64 (cosh.f64 x)) (/.f64 x y)))

series23.0ms (0.4%)

Counts

4 → 96

Calls

24 calls:

Time	Variable		Point	Expression
11.0ms	y	@	0	(/.f64 (sqrt.f64 (cosh.f64 x)) (/.f64 x y))
1.0ms	x	@	-inf	(/.f64 (sqrt.f64 (cosh.f64 x)) (/.f64 x y))
1.0ms	x	@	inf	(/.f64 (sqrt.f64 (cosh.f64 x)) (/.f64 x y))
1.0ms	z	@	0	(/.f64 (sqrt.f64 (cosh.f64 x)) z)
1.0ms	x	@	inf	(/.f64 (sqrt.f64 (cosh.f64 x)) z)

rewrite68.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

243×	`log-div_binary64`
209×	`expm1-udef_binary64`
209×	`log1p-udef_binary64`
180×	`log-pow_binary64`
117×	`add-sqr-sqrt_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	36
1	225	36
2	3401	36

Stop Event

1×	node limit

Counts

4 → 157

Calls

Call 1

Inputs
(*.f64 (/.f64 (sqrt.f64 (cosh.f64 x)) z) (/.f64 (sqrt.f64 (cosh.f64 x)) (/.f64 x y)))
(/.f64 (sqrt.f64 (cosh.f64 x)) (/.f64 x y))
(/.f64 (sqrt.f64 (cosh.f64 x)) z)
(sqrt.f64 (cosh.f64 x))

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

simplify57.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

592×	`associate-/l*_binary64`
351×	`associate-/r*_binary64`
289×	`cancel-sign-sub-inv_binary64`
232×	`associate-/r/_binary64`
208×	`fma-def_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	93	2040
1	280	1968
2	736	1954
3	2245	1947

Stop Event

1×	node limit

Counts

253 → 197

Calls

Call 1

Inputs
(/.f64 y (*.f64 z x))
(+.f64 (.f64 1/2 (/.f64 (.f64 y x) z)) (/.f64 y (*.f64 z x)))
(+.f64 (.f64 1/2 (/.f64 (.f64 y x) z)) (+.f64 (/.f64 y (.f64 z x)) (.f64 1/24 (/.f64 (*.f64 y (pow.f64 x 3)) z))))
(+.f64 (.f64 1/720 (/.f64 (.f64 y (pow.f64 x 5)) z)) (+.f64 (.f64 1/2 (/.f64 (.f64 y x) z)) (+.f64 (/.f64 y (.f64 z x)) (.f64 1/24 (/.f64 (*.f64 y (pow.f64 x 3)) z)))))
(/.f64 (+.f64 (.f64 1/2 (.f64 (exp.f64 x) y)) (.f64 1/2 (/.f64 y (exp.f64 x)))) (.f64 z x))
(/.f64 (+.f64 (.f64 1/2 (.f64 (exp.f64 x) y)) (.f64 1/2 (/.f64 y (exp.f64 x)))) (.f64 z x))
(/.f64 (+.f64 (.f64 1/2 (.f64 (exp.f64 x) y)) (.f64 1/2 (/.f64 y (exp.f64 x)))) (.f64 z x))
(/.f64 (+.f64 (.f64 1/2 (.f64 (exp.f64 x) y)) (.f64 1/2 (/.f64 y (exp.f64 x)))) (.f64 z x))
(/.f64 (+.f64 (.f64 1/2 (.f64 y (exp.f64 x))) (.f64 1/2 (/.f64 y (exp.f64 x)))) (.f64 z x))
(/.f64 (+.f64 (.f64 1/2 (.f64 y (exp.f64 x))) (.f64 1/2 (/.f64 y (exp.f64 x)))) (.f64 z x))
(/.f64 (+.f64 (.f64 1/2 (.f64 y (exp.f64 x))) (.f64 1/2 (/.f64 y (exp.f64 x)))) (.f64 z x))
(/.f64 (+.f64 (.f64 1/2 (.f64 y (exp.f64 x))) (.f64 1/2 (/.f64 y (exp.f64 x)))) (.f64 z x))
(.f64 1/2 (/.f64 (.f64 y (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))) (*.f64 z x)))
(.f64 1/2 (/.f64 (.f64 y (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))) (*.f64 z x)))
(.f64 1/2 (/.f64 (.f64 y (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))) (*.f64 z x)))
(.f64 1/2 (/.f64 (.f64 y (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))) (*.f64 z x)))
(/.f64 (+.f64 (.f64 1/2 (.f64 y (exp.f64 x))) (.f64 1/2 (/.f64 y (exp.f64 x)))) (.f64 z x))
(/.f64 (+.f64 (.f64 1/2 (.f64 y (exp.f64 x))) (.f64 1/2 (/.f64 y (exp.f64 x)))) (.f64 z x))
(/.f64 (+.f64 (.f64 1/2 (.f64 y (exp.f64 x))) (.f64 1/2 (/.f64 y (exp.f64 x)))) (.f64 z x))
(/.f64 (+.f64 (.f64 1/2 (.f64 y (exp.f64 x))) (.f64 1/2 (/.f64 y (exp.f64 x)))) (.f64 z x))
(/.f64 (+.f64 (.f64 1/2 (.f64 y (exp.f64 x))) (.f64 1/2 (/.f64 y (exp.f64 x)))) (.f64 z x))
(/.f64 (+.f64 (.f64 1/2 (.f64 y (exp.f64 x))) (.f64 1/2 (/.f64 y (exp.f64 x)))) (.f64 z x))
(/.f64 (+.f64 (.f64 1/2 (.f64 y (exp.f64 x))) (.f64 1/2 (/.f64 y (exp.f64 x)))) (.f64 z x))
(/.f64 (+.f64 (.f64 1/2 (.f64 y (exp.f64 x))) (.f64 1/2 (/.f64 y (exp.f64 x)))) (.f64 z x))
(/.f64 (.f64 y (+.f64 (.f64 1/2 (/.f64 1 (exp.f64 x))) (.f64 1/2 (exp.f64 x)))) (.f64 z x))
(/.f64 (.f64 y (+.f64 (.f64 1/2 (/.f64 1 (exp.f64 x))) (.f64 1/2 (exp.f64 x)))) (.f64 z x))
(/.f64 (.f64 y (+.f64 (.f64 1/2 (/.f64 1 (exp.f64 x))) (.f64 1/2 (exp.f64 x)))) (.f64 z x))
(/.f64 (.f64 y (+.f64 (.f64 1/2 (/.f64 1 (exp.f64 x))) (.f64 1/2 (exp.f64 x)))) (.f64 z x))
(.f64 1/2 (/.f64 (.f64 y (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))) (*.f64 z x)))
(.f64 1/2 (/.f64 (.f64 y (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))) (*.f64 z x)))
(.f64 1/2 (/.f64 (.f64 y (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))) (*.f64 z x)))
(.f64 1/2 (/.f64 (.f64 y (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))) (*.f64 z x)))
(.f64 1/2 (/.f64 (.f64 y (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))) (*.f64 z x)))
(.f64 1/2 (/.f64 (.f64 y (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))) (*.f64 z x)))
(.f64 1/2 (/.f64 (.f64 y (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))) (*.f64 z x)))
(.f64 1/2 (/.f64 (.f64 y (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))) (*.f64 z x)))
(/.f64 y x)
(+.f64 (.f64 1/4 (.f64 y x)) (/.f64 y x))
(-.f64 (+.f64 (.f64 1/4 (.f64 y x)) (/.f64 y x)) (.f64 1/96 (.f64 y (pow.f64 x 3))))
(-.f64 (+.f64 (.f64 1/4 (.f64 y x)) (+.f64 (.f64 19/5760 (.f64 y (pow.f64 x 5))) (/.f64 y x))) (.f64 1/96 (.f64 y (pow.f64 x 3))))
(.f64 (/.f64 (.f64 (sqrt.f64 1/2) y) x) (sqrt.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))))
(.f64 (/.f64 (.f64 (sqrt.f64 1/2) y) x) (sqrt.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))))
(.f64 (/.f64 (.f64 (sqrt.f64 1/2) y) x) (sqrt.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))))
(.f64 (/.f64 (.f64 (sqrt.f64 1/2) y) x) (sqrt.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))))
(.f64 (/.f64 (.f64 (sqrt.f64 1/2) y) x) (sqrt.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))))
(.f64 (/.f64 (.f64 (sqrt.f64 1/2) y) x) (sqrt.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))))
(.f64 (/.f64 (.f64 (sqrt.f64 1/2) y) x) (sqrt.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))))
(.f64 (/.f64 (.f64 (sqrt.f64 1/2) y) x) (sqrt.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))))
(.f64 (/.f64 (.f64 (sqrt.f64 1/2) y) x) (sqrt.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))))
(.f64 (/.f64 (.f64 (sqrt.f64 1/2) y) x) (sqrt.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))))
(.f64 (/.f64 (.f64 (sqrt.f64 1/2) y) x) (sqrt.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))))
(.f64 (/.f64 (.f64 (sqrt.f64 1/2) y) x) (sqrt.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))))
(.f64 (/.f64 (.f64 (sqrt.f64 1/2) y) x) (sqrt.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))))
(.f64 (/.f64 (.f64 (sqrt.f64 1/2) y) x) (sqrt.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))))
(.f64 (/.f64 (.f64 (sqrt.f64 1/2) y) x) (sqrt.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))))
(.f64 (/.f64 (.f64 (sqrt.f64 1/2) y) x) (sqrt.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))))
(.f64 (/.f64 (.f64 (sqrt.f64 1/2) y) x) (sqrt.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))))
(.f64 (/.f64 (.f64 (sqrt.f64 1/2) y) x) (sqrt.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))))
(.f64 (/.f64 (.f64 (sqrt.f64 1/2) y) x) (sqrt.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))))
(.f64 (/.f64 (.f64 (sqrt.f64 1/2) y) x) (sqrt.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))))
(/.f64 1 z)
(+.f64 (*.f64 1/4 (/.f64 (pow.f64 x 2) z)) (/.f64 1 z))
(-.f64 (+.f64 (.f64 1/4 (/.f64 (pow.f64 x 2) z)) (/.f64 1 z)) (.f64 1/96 (/.f64 (pow.f64 x 4) z)))
(-.f64 (+.f64 (.f64 19/5760 (/.f64 (pow.f64 x 6) z)) (+.f64 (.f64 1/4 (/.f64 (pow.f64 x 2) z)) (/.f64 1 z))) (*.f64 1/96 (/.f64 (pow.f64 x 4) z)))
(*.f64 (/.f64 (sqrt.f64 1/2) z) (sqrt.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))))
(*.f64 (/.f64 (sqrt.f64 1/2) z) (sqrt.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))))
(*.f64 (/.f64 (sqrt.f64 1/2) z) (sqrt.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))))
(*.f64 (/.f64 (sqrt.f64 1/2) z) (sqrt.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))))
(*.f64 (/.f64 (sqrt.f64 1/2) z) (sqrt.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))))
(*.f64 (/.f64 (sqrt.f64 1/2) z) (sqrt.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))))
(*.f64 (/.f64 (sqrt.f64 1/2) z) (sqrt.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))))
(*.f64 (/.f64 (sqrt.f64 1/2) z) (sqrt.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))))
(*.f64 (/.f64 (sqrt.f64 1/2) z) (sqrt.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))))
(*.f64 (/.f64 (sqrt.f64 1/2) z) (sqrt.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))))
(*.f64 (/.f64 (sqrt.f64 1/2) z) (sqrt.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))))
(*.f64 (/.f64 (sqrt.f64 1/2) z) (sqrt.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))))
(*.f64 (/.f64 (sqrt.f64 1/2) z) (sqrt.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))))
(*.f64 (/.f64 (sqrt.f64 1/2) z) (sqrt.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))))
(*.f64 (/.f64 (sqrt.f64 1/2) z) (sqrt.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))))
(*.f64 (/.f64 (sqrt.f64 1/2) z) (sqrt.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))))
(*.f64 (/.f64 (sqrt.f64 1/2) z) (sqrt.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))))
(*.f64 (/.f64 (sqrt.f64 1/2) z) (sqrt.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))))
(*.f64 (/.f64 (sqrt.f64 1/2) z) (sqrt.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))))
(*.f64 (/.f64 (sqrt.f64 1/2) z) (sqrt.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))))
1
(+.f64 1 (*.f64 1/4 (pow.f64 x 2)))
(-.f64 (+.f64 1 (.f64 1/4 (pow.f64 x 2))) (.f64 1/96 (pow.f64 x 4)))
(-.f64 (+.f64 1 (+.f64 (.f64 19/5760 (pow.f64 x 6)) (.f64 1/4 (pow.f64 x 2)))) (*.f64 1/96 (pow.f64 x 4)))
(*.f64 (sqrt.f64 1/2) (sqrt.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))))
(*.f64 (sqrt.f64 1/2) (sqrt.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))))
(*.f64 (sqrt.f64 1/2) (sqrt.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))))
(*.f64 (sqrt.f64 1/2) (sqrt.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))))
(*.f64 (sqrt.f64 1/2) (sqrt.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))))
(*.f64 (sqrt.f64 1/2) (sqrt.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))))
(*.f64 (sqrt.f64 1/2) (sqrt.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))))
(*.f64 (sqrt.f64 1/2) (sqrt.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))))

Outputs
(/.f64 y (*.f64 z x))
(/.f64 (/.f64 y x) z)
(+.f64 (.f64 1/2 (/.f64 (.f64 y x) z)) (/.f64 y (*.f64 z x)))
(fma.f64 1/2 (/.f64 y (/.f64 z x)) (/.f64 y (*.f64 z x)))
(fma.f64 1/2 (.f64 (/.f64 y z) x) (/.f64 y (.f64 z x)))
(fma.f64 1/2 (/.f64 y (/.f64 z x)) (/.f64 (/.f64 y x) z))
(fma.f64 1/2 (.f64 x (/.f64 y z)) (/.f64 y (.f64 z x)))
(+.f64 (.f64 1/2 (/.f64 (.f64 y x) z)) (+.f64 (/.f64 y (.f64 z x)) (.f64 1/24 (/.f64 (*.f64 y (pow.f64 x 3)) z))))
(+.f64 (fma.f64 1/2 (/.f64 y (/.f64 z x)) (/.f64 y (.f64 z x))) (.f64 1/24 (/.f64 y (/.f64 z (pow.f64 x 3)))))
(fma.f64 1/2 (.f64 (/.f64 y z) x) (fma.f64 1/24 (.f64 (/.f64 y z) (pow.f64 x 3)) (/.f64 y (*.f64 z x))))
(fma.f64 1/2 (/.f64 y (/.f64 z x)) (fma.f64 1/24 (*.f64 (pow.f64 x 3) (/.f64 y z)) (/.f64 (/.f64 y x) z)))
(+.f64 (/.f64 y (.f64 z x)) (.f64 (/.f64 y z) (+.f64 (.f64 x 1/2) (.f64 1/24 (pow.f64 x 3)))))
(+.f64 (.f64 1/720 (/.f64 (.f64 y (pow.f64 x 5)) z)) (+.f64 (.f64 1/2 (/.f64 (.f64 y x) z)) (+.f64 (/.f64 y (.f64 z x)) (.f64 1/24 (/.f64 (*.f64 y (pow.f64 x 3)) z)))))
(fma.f64 1/720 (/.f64 y (/.f64 z (pow.f64 x 5))) (+.f64 (fma.f64 1/2 (/.f64 y (/.f64 z x)) (/.f64 y (.f64 z x))) (.f64 1/24 (/.f64 y (/.f64 z (pow.f64 x 3))))))
(fma.f64 1/720 (.f64 (/.f64 y z) (pow.f64 x 5)) (fma.f64 1/2 (.f64 (/.f64 y z) x) (fma.f64 1/24 (.f64 (/.f64 y z) (pow.f64 x 3)) (/.f64 y (.f64 z x)))))
(fma.f64 1/2 (/.f64 y (/.f64 z x)) (fma.f64 1/720 (.f64 (pow.f64 x 5) (/.f64 y z)) (fma.f64 1/24 (.f64 (pow.f64 x 3) (/.f64 y z)) (/.f64 (/.f64 y x) z))))
(+.f64 (fma.f64 1/24 (.f64 (pow.f64 x 3) (/.f64 y z)) (/.f64 y (.f64 z x))) (.f64 (/.f64 y z) (+.f64 (.f64 x 1/2) (*.f64 1/720 (pow.f64 x 5)))))
(/.f64 (+.f64 (.f64 1/2 (.f64 (exp.f64 x) y)) (.f64 1/2 (/.f64 y (exp.f64 x)))) (.f64 z x))
(/.f64 (.f64 1/2 (+.f64 (.f64 y (exp.f64 x)) (/.f64 y (exp.f64 x)))) (*.f64 z x))
(.f64 (/.f64 y (.f64 z x)) (fma.f64 1/2 (exp.f64 x) (/.f64 1/2 (exp.f64 x))))
(*.f64 (/.f64 (/.f64 y x) z) (fma.f64 1/2 (exp.f64 x) (/.f64 1/2 (exp.f64 x))))
(.f64 1/2 (/.f64 (fma.f64 y (exp.f64 x) (/.f64 y (exp.f64 x))) (.f64 z x)))
(/.f64 (+.f64 (.f64 1/2 (.f64 (exp.f64 x) y)) (.f64 1/2 (/.f64 y (exp.f64 x)))) (.f64 z x))
(/.f64 (.f64 1/2 (+.f64 (.f64 y (exp.f64 x)) (/.f64 y (exp.f64 x)))) (*.f64 z x))
(.f64 (/.f64 y (.f64 z x)) (fma.f64 1/2 (exp.f64 x) (/.f64 1/2 (exp.f64 x))))
(*.f64 (/.f64 (/.f64 y x) z) (fma.f64 1/2 (exp.f64 x) (/.f64 1/2 (exp.f64 x))))
(.f64 1/2 (/.f64 (fma.f64 y (exp.f64 x) (/.f64 y (exp.f64 x))) (.f64 z x)))
(/.f64 (+.f64 (.f64 1/2 (.f64 (exp.f64 x) y)) (.f64 1/2 (/.f64 y (exp.f64 x)))) (.f64 z x))
(/.f64 (.f64 1/2 (+.f64 (.f64 y (exp.f64 x)) (/.f64 y (exp.f64 x)))) (*.f64 z x))
(.f64 (/.f64 y (.f64 z x)) (fma.f64 1/2 (exp.f64 x) (/.f64 1/2 (exp.f64 x))))
(*.f64 (/.f64 (/.f64 y x) z) (fma.f64 1/2 (exp.f64 x) (/.f64 1/2 (exp.f64 x))))
(.f64 1/2 (/.f64 (fma.f64 y (exp.f64 x) (/.f64 y (exp.f64 x))) (.f64 z x)))
(/.f64 (+.f64 (.f64 1/2 (.f64 (exp.f64 x) y)) (.f64 1/2 (/.f64 y (exp.f64 x)))) (.f64 z x))
(/.f64 (.f64 1/2 (+.f64 (.f64 y (exp.f64 x)) (/.f64 y (exp.f64 x)))) (*.f64 z x))
(.f64 (/.f64 y (.f64 z x)) (fma.f64 1/2 (exp.f64 x) (/.f64 1/2 (exp.f64 x))))
(*.f64 (/.f64 (/.f64 y x) z) (fma.f64 1/2 (exp.f64 x) (/.f64 1/2 (exp.f64 x))))
(.f64 1/2 (/.f64 (fma.f64 y (exp.f64 x) (/.f64 y (exp.f64 x))) (.f64 z x)))
(/.f64 (+.f64 (.f64 1/2 (.f64 y (exp.f64 x))) (.f64 1/2 (/.f64 y (exp.f64 x)))) (.f64 z x))
(/.f64 (.f64 1/2 (+.f64 (.f64 y (exp.f64 x)) (/.f64 y (exp.f64 x)))) (*.f64 z x))
(.f64 (/.f64 y (.f64 z x)) (fma.f64 1/2 (exp.f64 x) (/.f64 1/2 (exp.f64 x))))
(*.f64 (/.f64 (/.f64 y x) z) (fma.f64 1/2 (exp.f64 x) (/.f64 1/2 (exp.f64 x))))
(.f64 1/2 (/.f64 (fma.f64 y (exp.f64 x) (/.f64 y (exp.f64 x))) (.f64 z x)))
(/.f64 (+.f64 (.f64 1/2 (.f64 y (exp.f64 x))) (.f64 1/2 (/.f64 y (exp.f64 x)))) (.f64 z x))
(/.f64 (.f64 1/2 (+.f64 (.f64 y (exp.f64 x)) (/.f64 y (exp.f64 x)))) (*.f64 z x))
(.f64 (/.f64 y (.f64 z x)) (fma.f64 1/2 (exp.f64 x) (/.f64 1/2 (exp.f64 x))))
(*.f64 (/.f64 (/.f64 y x) z) (fma.f64 1/2 (exp.f64 x) (/.f64 1/2 (exp.f64 x))))
(.f64 1/2 (/.f64 (fma.f64 y (exp.f64 x) (/.f64 y (exp.f64 x))) (.f64 z x)))
(/.f64 (+.f64 (.f64 1/2 (.f64 y (exp.f64 x))) (.f64 1/2 (/.f64 y (exp.f64 x)))) (.f64 z x))
(/.f64 (.f64 1/2 (+.f64 (.f64 y (exp.f64 x)) (/.f64 y (exp.f64 x)))) (*.f64 z x))
(.f64 (/.f64 y (.f64 z x)) (fma.f64 1/2 (exp.f64 x) (/.f64 1/2 (exp.f64 x))))
(*.f64 (/.f64 (/.f64 y x) z) (fma.f64 1/2 (exp.f64 x) (/.f64 1/2 (exp.f64 x))))
(.f64 1/2 (/.f64 (fma.f64 y (exp.f64 x) (/.f64 y (exp.f64 x))) (.f64 z x)))
(/.f64 (+.f64 (.f64 1/2 (.f64 y (exp.f64 x))) (.f64 1/2 (/.f64 y (exp.f64 x)))) (.f64 z x))
(/.f64 (.f64 1/2 (+.f64 (.f64 y (exp.f64 x)) (/.f64 y (exp.f64 x)))) (*.f64 z x))
(.f64 (/.f64 y (.f64 z x)) (fma.f64 1/2 (exp.f64 x) (/.f64 1/2 (exp.f64 x))))
(*.f64 (/.f64 (/.f64 y x) z) (fma.f64 1/2 (exp.f64 x) (/.f64 1/2 (exp.f64 x))))
(.f64 1/2 (/.f64 (fma.f64 y (exp.f64 x) (/.f64 y (exp.f64 x))) (.f64 z x)))
(.f64 1/2 (/.f64 (.f64 y (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))) (*.f64 z x)))
(/.f64 (.f64 1/2 (+.f64 (.f64 y (exp.f64 x)) (/.f64 y (exp.f64 x)))) (*.f64 z x))
(.f64 (/.f64 y (.f64 z x)) (fma.f64 1/2 (exp.f64 x) (/.f64 1/2 (exp.f64 x))))
(*.f64 (/.f64 (/.f64 y x) z) (fma.f64 1/2 (exp.f64 x) (/.f64 1/2 (exp.f64 x))))
(.f64 1/2 (/.f64 (fma.f64 y (exp.f64 x) (/.f64 y (exp.f64 x))) (.f64 z x)))
(.f64 1/2 (/.f64 (.f64 y (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))) (*.f64 z x)))
(/.f64 (.f64 1/2 (+.f64 (.f64 y (exp.f64 x)) (/.f64 y (exp.f64 x)))) (*.f64 z x))
(.f64 (/.f64 y (.f64 z x)) (fma.f64 1/2 (exp.f64 x) (/.f64 1/2 (exp.f64 x))))
(*.f64 (/.f64 (/.f64 y x) z) (fma.f64 1/2 (exp.f64 x) (/.f64 1/2 (exp.f64 x))))
(.f64 1/2 (/.f64 (fma.f64 y (exp.f64 x) (/.f64 y (exp.f64 x))) (.f64 z x)))
(.f64 1/2 (/.f64 (.f64 y (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))) (*.f64 z x)))
(/.f64 (.f64 1/2 (+.f64 (.f64 y (exp.f64 x)) (/.f64 y (exp.f64 x)))) (*.f64 z x))
(.f64 (/.f64 y (.f64 z x)) (fma.f64 1/2 (exp.f64 x) (/.f64 1/2 (exp.f64 x))))
(*.f64 (/.f64 (/.f64 y x) z) (fma.f64 1/2 (exp.f64 x) (/.f64 1/2 (exp.f64 x))))
(.f64 1/2 (/.f64 (fma.f64 y (exp.f64 x) (/.f64 y (exp.f64 x))) (.f64 z x)))
(.f64 1/2 (/.f64 (.f64 y (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))) (*.f64 z x)))
(/.f64 (.f64 1/2 (+.f64 (.f64 y (exp.f64 x)) (/.f64 y (exp.f64 x)))) (*.f64 z x))
(.f64 (/.f64 y (.f64 z x)) (fma.f64 1/2 (exp.f64 x) (/.f64 1/2 (exp.f64 x))))
(*.f64 (/.f64 (/.f64 y x) z) (fma.f64 1/2 (exp.f64 x) (/.f64 1/2 (exp.f64 x))))
(.f64 1/2 (/.f64 (fma.f64 y (exp.f64 x) (/.f64 y (exp.f64 x))) (.f64 z x)))
(/.f64 (+.f64 (.f64 1/2 (.f64 y (exp.f64 x))) (.f64 1/2 (/.f64 y (exp.f64 x)))) (.f64 z x))
(/.f64 (.f64 1/2 (+.f64 (.f64 y (exp.f64 x)) (/.f64 y (exp.f64 x)))) (*.f64 z x))
(.f64 (/.f64 y (.f64 z x)) (fma.f64 1/2 (exp.f64 x) (/.f64 1/2 (exp.f64 x))))
(*.f64 (/.f64 (/.f64 y x) z) (fma.f64 1/2 (exp.f64 x) (/.f64 1/2 (exp.f64 x))))
(.f64 1/2 (/.f64 (fma.f64 y (exp.f64 x) (/.f64 y (exp.f64 x))) (.f64 z x)))
(/.f64 (+.f64 (.f64 1/2 (.f64 y (exp.f64 x))) (.f64 1/2 (/.f64 y (exp.f64 x)))) (.f64 z x))
(/.f64 (.f64 1/2 (+.f64 (.f64 y (exp.f64 x)) (/.f64 y (exp.f64 x)))) (*.f64 z x))
(.f64 (/.f64 y (.f64 z x)) (fma.f64 1/2 (exp.f64 x) (/.f64 1/2 (exp.f64 x))))
(*.f64 (/.f64 (/.f64 y x) z) (fma.f64 1/2 (exp.f64 x) (/.f64 1/2 (exp.f64 x))))
(.f64 1/2 (/.f64 (fma.f64 y (exp.f64 x) (/.f64 y (exp.f64 x))) (.f64 z x)))
(/.f64 (+.f64 (.f64 1/2 (.f64 y (exp.f64 x))) (.f64 1/2 (/.f64 y (exp.f64 x)))) (.f64 z x))
(/.f64 (.f64 1/2 (+.f64 (.f64 y (exp.f64 x)) (/.f64 y (exp.f64 x)))) (*.f64 z x))
(.f64 (/.f64 y (.f64 z x)) (fma.f64 1/2 (exp.f64 x) (/.f64 1/2 (exp.f64 x))))
(*.f64 (/.f64 (/.f64 y x) z) (fma.f64 1/2 (exp.f64 x) (/.f64 1/2 (exp.f64 x))))
(.f64 1/2 (/.f64 (fma.f64 y (exp.f64 x) (/.f64 y (exp.f64 x))) (.f64 z x)))
(/.f64 (+.f64 (.f64 1/2 (.f64 y (exp.f64 x))) (.f64 1/2 (/.f64 y (exp.f64 x)))) (.f64 z x))
(/.f64 (.f64 1/2 (+.f64 (.f64 y (exp.f64 x)) (/.f64 y (exp.f64 x)))) (*.f64 z x))
(.f64 (/.f64 y (.f64 z x)) (fma.f64 1/2 (exp.f64 x) (/.f64 1/2 (exp.f64 x))))
(*.f64 (/.f64 (/.f64 y x) z) (fma.f64 1/2 (exp.f64 x) (/.f64 1/2 (exp.f64 x))))
(.f64 1/2 (/.f64 (fma.f64 y (exp.f64 x) (/.f64 y (exp.f64 x))) (.f64 z x)))
(/.f64 (+.f64 (.f64 1/2 (.f64 y (exp.f64 x))) (.f64 1/2 (/.f64 y (exp.f64 x)))) (.f64 z x))
(/.f64 (.f64 1/2 (+.f64 (.f64 y (exp.f64 x)) (/.f64 y (exp.f64 x)))) (*.f64 z x))
(.f64 (/.f64 y (.f64 z x)) (fma.f64 1/2 (exp.f64 x) (/.f64 1/2 (exp.f64 x))))
(*.f64 (/.f64 (/.f64 y x) z) (fma.f64 1/2 (exp.f64 x) (/.f64 1/2 (exp.f64 x))))
(.f64 1/2 (/.f64 (fma.f64 y (exp.f64 x) (/.f64 y (exp.f64 x))) (.f64 z x)))
(/.f64 (+.f64 (.f64 1/2 (.f64 y (exp.f64 x))) (.f64 1/2 (/.f64 y (exp.f64 x)))) (.f64 z x))
(/.f64 (.f64 1/2 (+.f64 (.f64 y (exp.f64 x)) (/.f64 y (exp.f64 x)))) (*.f64 z x))
(.f64 (/.f64 y (.f64 z x)) (fma.f64 1/2 (exp.f64 x) (/.f64 1/2 (exp.f64 x))))
(*.f64 (/.f64 (/.f64 y x) z) (fma.f64 1/2 (exp.f64 x) (/.f64 1/2 (exp.f64 x))))
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(/.f64 (+.f64 (.f64 1/2 (.f64 y (exp.f64 x))) (.f64 1/2 (/.f64 y (exp.f64 x)))) (.f64 z x))
(/.f64 (.f64 1/2 (+.f64 (.f64 y (exp.f64 x)) (/.f64 y (exp.f64 x)))) (*.f64 z x))
(.f64 (/.f64 y (.f64 z x)) (fma.f64 1/2 (exp.f64 x) (/.f64 1/2 (exp.f64 x))))
(*.f64 (/.f64 (/.f64 y x) z) (fma.f64 1/2 (exp.f64 x) (/.f64 1/2 (exp.f64 x))))
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(/.f64 (+.f64 (.f64 1/2 (.f64 y (exp.f64 x))) (.f64 1/2 (/.f64 y (exp.f64 x)))) (.f64 z x))
(/.f64 (.f64 1/2 (+.f64 (.f64 y (exp.f64 x)) (/.f64 y (exp.f64 x)))) (*.f64 z x))
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(*.f64 (/.f64 (/.f64 y x) z) (fma.f64 1/2 (exp.f64 x) (/.f64 1/2 (exp.f64 x))))
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(*.f64 (/.f64 (/.f64 y x) z) (fma.f64 1/2 (exp.f64 x) (/.f64 1/2 (exp.f64 x))))
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(.f64 (.f64 (/.f64 (sqrt.f64 1/2) x) y) (sqrt.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))))
(.f64 (.f64 y (/.f64 (sqrt.f64 1/2) x)) (sqrt.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))))
(.f64 (/.f64 y x) (.f64 (sqrt.f64 1/2) (sqrt.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))))
(.f64 (/.f64 (.f64 (sqrt.f64 1/2) y) x) (sqrt.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))))
(*.f64 (/.f64 (sqrt.f64 1/2) (/.f64 x y)) (sqrt.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))))
(.f64 (.f64 (/.f64 (sqrt.f64 1/2) x) y) (sqrt.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))))
(.f64 (.f64 y (/.f64 (sqrt.f64 1/2) x)) (sqrt.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))))
(.f64 (/.f64 y x) (.f64 (sqrt.f64 1/2) (sqrt.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))))
(/.f64 1 z)
(+.f64 (*.f64 1/4 (/.f64 (pow.f64 x 2) z)) (/.f64 1 z))
(fma.f64 1/4 (/.f64 (*.f64 x x) z) (/.f64 1 z))
(fma.f64 1/4 (/.f64 x (/.f64 z x)) (/.f64 1 z))
(fma.f64 1/4 (*.f64 (/.f64 x z) x) (/.f64 1 z))
(-.f64 (+.f64 (.f64 1/4 (/.f64 (pow.f64 x 2) z)) (/.f64 1 z)) (.f64 1/96 (/.f64 (pow.f64 x 4) z)))
(-.f64 (fma.f64 1/4 (/.f64 (.f64 x x) z) (/.f64 1 z)) (/.f64 (.f64 1/96 (pow.f64 x 4)) z))
(fma.f64 1/4 (/.f64 x (/.f64 z x)) (-.f64 (/.f64 1 z) (*.f64 1/96 (/.f64 (pow.f64 x 4) z))))
(fma.f64 (/.f64 (pow.f64 x 4) z) -1/96 (fma.f64 1/4 (*.f64 (/.f64 x z) x) (/.f64 1 z)))
(-.f64 (+.f64 (.f64 19/5760 (/.f64 (pow.f64 x 6) z)) (+.f64 (.f64 1/4 (/.f64 (pow.f64 x 2) z)) (/.f64 1 z))) (*.f64 1/96 (/.f64 (pow.f64 x 4) z)))
(+.f64 (fma.f64 19/5760 (/.f64 (pow.f64 x 6) z) (fma.f64 1/4 (/.f64 (.f64 x x) z) (/.f64 1 z))) (.f64 -1/96 (/.f64 (pow.f64 x 4) z)))
(fma.f64 19/5760 (/.f64 (pow.f64 x 6) z) (fma.f64 1/4 (/.f64 x (/.f64 z x)) (-.f64 (/.f64 1 z) (*.f64 1/96 (/.f64 (pow.f64 x 4) z)))))
(fma.f64 19/5760 (/.f64 (pow.f64 x 6) z) (fma.f64 (/.f64 (pow.f64 x 4) z) -1/96 (fma.f64 1/4 (*.f64 (/.f64 x z) x) (/.f64 1 z))))
(*.f64 (/.f64 (sqrt.f64 1/2) z) (sqrt.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))))
(*.f64 (sqrt.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) (/.f64 (sqrt.f64 1/2) z))
(*.f64 (/.f64 (sqrt.f64 1/2) z) (sqrt.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))))
(*.f64 (sqrt.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) (/.f64 (sqrt.f64 1/2) z))
(*.f64 (/.f64 (sqrt.f64 1/2) z) (sqrt.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))))
(*.f64 (sqrt.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) (/.f64 (sqrt.f64 1/2) z))
(*.f64 (/.f64 (sqrt.f64 1/2) z) (sqrt.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))))
(*.f64 (sqrt.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) (/.f64 (sqrt.f64 1/2) z))
(*.f64 (/.f64 (sqrt.f64 1/2) z) (sqrt.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))))
(*.f64 (sqrt.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) (/.f64 (sqrt.f64 1/2) z))
(*.f64 (/.f64 (sqrt.f64 1/2) z) (sqrt.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))))
(*.f64 (sqrt.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) (/.f64 (sqrt.f64 1/2) z))
(*.f64 (/.f64 (sqrt.f64 1/2) z) (sqrt.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))))
(*.f64 (sqrt.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) (/.f64 (sqrt.f64 1/2) z))
(*.f64 (/.f64 (sqrt.f64 1/2) z) (sqrt.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))))
(*.f64 (sqrt.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) (/.f64 (sqrt.f64 1/2) z))
(*.f64 (/.f64 (sqrt.f64 1/2) z) (sqrt.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))))
(*.f64 (sqrt.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) (/.f64 (sqrt.f64 1/2) z))
(*.f64 (/.f64 (sqrt.f64 1/2) z) (sqrt.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))))
(*.f64 (sqrt.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) (/.f64 (sqrt.f64 1/2) z))
(*.f64 (/.f64 (sqrt.f64 1/2) z) (sqrt.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))))
(*.f64 (sqrt.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) (/.f64 (sqrt.f64 1/2) z))
(*.f64 (/.f64 (sqrt.f64 1/2) z) (sqrt.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))))
(*.f64 (sqrt.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) (/.f64 (sqrt.f64 1/2) z))
(*.f64 (/.f64 (sqrt.f64 1/2) z) (sqrt.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))))
(*.f64 (sqrt.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) (/.f64 (sqrt.f64 1/2) z))
(*.f64 (/.f64 (sqrt.f64 1/2) z) (sqrt.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))))
(*.f64 (sqrt.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) (/.f64 (sqrt.f64 1/2) z))
(*.f64 (/.f64 (sqrt.f64 1/2) z) (sqrt.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))))
(*.f64 (sqrt.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) (/.f64 (sqrt.f64 1/2) z))
(*.f64 (/.f64 (sqrt.f64 1/2) z) (sqrt.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))))
(*.f64 (sqrt.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) (/.f64 (sqrt.f64 1/2) z))
(*.f64 (/.f64 (sqrt.f64 1/2) z) (sqrt.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))))
(*.f64 (sqrt.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) (/.f64 (sqrt.f64 1/2) z))
(*.f64 (/.f64 (sqrt.f64 1/2) z) (sqrt.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))))
(*.f64 (sqrt.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) (/.f64 (sqrt.f64 1/2) z))
(*.f64 (/.f64 (sqrt.f64 1/2) z) (sqrt.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))))
(*.f64 (sqrt.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) (/.f64 (sqrt.f64 1/2) z))
(*.f64 (/.f64 (sqrt.f64 1/2) z) (sqrt.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))))
(*.f64 (sqrt.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) (/.f64 (sqrt.f64 1/2) z))
1
(+.f64 1 (*.f64 1/4 (pow.f64 x 2)))
(+.f64 1 (.f64 1/4 (.f64 x x)))
(fma.f64 1/4 (*.f64 x x) 1)
(fma.f64 x (*.f64 x 1/4) 1)
(-.f64 (+.f64 1 (.f64 1/4 (pow.f64 x 2))) (.f64 1/96 (pow.f64 x 4)))
(+.f64 1 (-.f64 (.f64 1/4 (.f64 x x)) (*.f64 1/96 (pow.f64 x 4))))
(+.f64 1 (fma.f64 1/4 (.f64 x x) (.f64 (pow.f64 x 4) -1/96)))
(fma.f64 (pow.f64 x 4) -1/96 (fma.f64 x (*.f64 x 1/4) 1))
(-.f64 (+.f64 1 (+.f64 (.f64 19/5760 (pow.f64 x 6)) (.f64 1/4 (pow.f64 x 2)))) (*.f64 1/96 (pow.f64 x 4)))
(+.f64 1 (-.f64 (fma.f64 19/5760 (pow.f64 x 6) (.f64 1/4 (.f64 x x))) (*.f64 1/96 (pow.f64 x 4))))
(+.f64 (fma.f64 1/4 (.f64 x x) (.f64 19/5760 (pow.f64 x 6))) (-.f64 1 (*.f64 1/96 (pow.f64 x 4))))
(fma.f64 (pow.f64 x 4) -1/96 (fma.f64 x (*.f64 x 1/4) (fma.f64 19/5760 (pow.f64 x 6) 1)))
(*.f64 (sqrt.f64 1/2) (sqrt.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))))
(*.f64 (sqrt.f64 1/2) (sqrt.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))))
(*.f64 (sqrt.f64 1/2) (sqrt.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))))
(*.f64 (sqrt.f64 1/2) (sqrt.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))))
(*.f64 (sqrt.f64 1/2) (sqrt.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))))
(*.f64 (sqrt.f64 1/2) (sqrt.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))))
(*.f64 (sqrt.f64 1/2) (sqrt.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))))
(*.f64 (sqrt.f64 1/2) (sqrt.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))))
(*.f64 (sqrt.f64 1/2) (sqrt.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))))
(*.f64 (sqrt.f64 1/2) (sqrt.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))))
(*.f64 (sqrt.f64 1/2) (sqrt.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))))
(*.f64 (sqrt.f64 1/2) (sqrt.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))))
(*.f64 (sqrt.f64 1/2) (sqrt.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))))
(*.f64 (sqrt.f64 1/2) (sqrt.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))))
(*.f64 (sqrt.f64 1/2) (sqrt.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))))
(*.f64 (sqrt.f64 1/2) (sqrt.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))))

prune204.0ms (3.1%)

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	229	1	230
Fresh	1	5	6
Picked	0	1	1
Done	0	1	1
Total	230	8	238

Error

0.0b

Counts

238 → 8

Alt Table

Status	Error	Program
✓	5.5b	(/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z)
	7.0b	(*.f64 (/.f64 (/.f64 (cosh.f64 x) x) 1) (/.f64 y z))
	7.2b	(/.f64 (cosh.f64 x) (*.f64 x (/.f64 z y)))
	6.5b	(pow.f64 (cbrt.f64 (/.f64 (cosh.f64 x) (/.f64 z (/.f64 y x)))) 3)
✓	5.6b	(*.f64 (/.f64 (sqrt.f64 (cosh.f64 x)) z) (/.f64 (sqrt.f64 (cosh.f64 x)) (/.f64 x y)))
	8.9b	(.f64 1/2 (/.f64 (.f64 y (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))) (*.f64 z x)))
▶	6.3b	(/.f64 (pow.f64 (cbrt.f64 (*.f64 (cosh.f64 x) (/.f64 y x))) 3) z)
	34.7b	(.f64 (/.f64 (sqrt.f64 (.f64 (cosh.f64 x) (/.f64 y x))) 1) (/.f64 (sqrt.f64 (*.f64 (cosh.f64 x) (/.f64 y x))) z))

Compiler

Compiled 4055 to 1313 computations (67.6% saved)

localize10.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.0b	(*.f64 (cosh.f64 x) (/.f64 y x))
✓	0.6b	(pow.f64 (cbrt.f64 (*.f64 (cosh.f64 x) (/.f64 y x))) 3)
✓	5.1b	(/.f64 (pow.f64 (cbrt.f64 (*.f64 (cosh.f64 x) (/.f64 y x))) 3) z)
✓	5.5b	(cbrt.f64 (*.f64 (cosh.f64 x) (/.f64 y x)))

series24.0ms (0.4%)

Counts

3 → 36

Calls

21 calls:

Time	Variable		Point	Expression
3.0ms	x	@	-inf	(/.f64 (pow.f64 (cbrt.f64 (*.f64 (cosh.f64 x) (/.f64 y x))) 3) z)
3.0ms	x	@	0	(pow.f64 (cbrt.f64 (*.f64 (cosh.f64 x) (/.f64 y x))) 3)
2.0ms	x	@	-inf	(pow.f64 (cbrt.f64 (*.f64 (cosh.f64 x) (/.f64 y x))) 3)
2.0ms	y	@	-inf	(/.f64 (pow.f64 (cbrt.f64 (*.f64 (cosh.f64 x) (/.f64 y x))) 3) z)
2.0ms	x	@	-inf	(cbrt.f64 (*.f64 (cosh.f64 x) (/.f64 y x)))

rewrite64.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

599×	`log-prod_binary64`
197×	`expm1-udef_binary64`
197×	`log1p-udef_binary64`
168×	`log-pow_binary64`
141×	`log-div_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	32
1	243	32
2	3033	32

Stop Event

1×	node limit

Counts

3 → 136

Calls

Call 1

Inputs
(cbrt.f64 (*.f64 (cosh.f64 x) (/.f64 y x)))
(/.f64 (pow.f64 (cbrt.f64 (*.f64 (cosh.f64 x) (/.f64 y x))) 3) z)
(pow.f64 (cbrt.f64 (*.f64 (cosh.f64 x) (/.f64 y x))) 3)

Outputs

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

simplify46.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

824×	`fma-def_binary64`
406×	`associate-/r/_binary64`
384×	`associate-/r*_binary64`
324×	`associate-*l/_binary64`
259×	`associate-/l*_binary64`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	48	837
1	150	769
2	375	769
3	884	765
4	2455	753

Stop Event

1×	node limit

Counts

172 → 148

Calls

Call 1

Inputs
(/.f64 y (*.f64 z x))
(+.f64 (.f64 1/2 (/.f64 (.f64 y x) z)) (/.f64 y (*.f64 z x)))
(+.f64 (.f64 1/2 (/.f64 (.f64 y x) z)) (+.f64 (/.f64 y (.f64 z x)) (.f64 1/24 (/.f64 (*.f64 y (pow.f64 x 3)) z))))
(+.f64 (.f64 1/720 (/.f64 (.f64 y (pow.f64 x 5)) z)) (+.f64 (.f64 1/2 (/.f64 (.f64 y x) z)) (+.f64 (/.f64 y (.f64 z x)) (.f64 1/24 (/.f64 (*.f64 y (pow.f64 x 3)) z)))))
(/.f64 (+.f64 (.f64 1/2 (.f64 (exp.f64 x) y)) (.f64 1/2 (/.f64 y (exp.f64 x)))) (.f64 z x))
(/.f64 (+.f64 (.f64 1/2 (.f64 (exp.f64 x) y)) (.f64 1/2 (/.f64 y (exp.f64 x)))) (.f64 z x))
(/.f64 (+.f64 (.f64 1/2 (.f64 (exp.f64 x) y)) (.f64 1/2 (/.f64 y (exp.f64 x)))) (.f64 z x))
(/.f64 (+.f64 (.f64 1/2 (.f64 (exp.f64 x) y)) (.f64 1/2 (/.f64 y (exp.f64 x)))) (.f64 z x))
(/.f64 (+.f64 (.f64 1/2 (.f64 y (exp.f64 x))) (.f64 1/2 (/.f64 y (exp.f64 x)))) (.f64 z x))
(/.f64 (+.f64 (.f64 1/2 (.f64 y (exp.f64 x))) (.f64 1/2 (/.f64 y (exp.f64 x)))) (.f64 z x))
(/.f64 (+.f64 (.f64 1/2 (.f64 y (exp.f64 x))) (.f64 1/2 (/.f64 y (exp.f64 x)))) (.f64 z x))
(/.f64 (+.f64 (.f64 1/2 (.f64 y (exp.f64 x))) (.f64 1/2 (/.f64 y (exp.f64 x)))) (.f64 z x))
(/.f64 (.f64 y (+.f64 (.f64 1/2 (/.f64 1 (exp.f64 x))) (.f64 1/2 (exp.f64 x)))) (.f64 z x))
(/.f64 (.f64 y (+.f64 (.f64 1/2 (/.f64 1 (exp.f64 x))) (.f64 1/2 (exp.f64 x)))) (.f64 z x))
(/.f64 (.f64 y (+.f64 (.f64 1/2 (/.f64 1 (exp.f64 x))) (.f64 1/2 (exp.f64 x)))) (.f64 z x))
(/.f64 (.f64 y (+.f64 (.f64 1/2 (/.f64 1 (exp.f64 x))) (.f64 1/2 (exp.f64 x)))) (.f64 z x))
(.f64 1/2 (/.f64 (.f64 y (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))) (*.f64 z x)))
(.f64 1/2 (/.f64 (.f64 y (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))) (*.f64 z x)))
(.f64 1/2 (/.f64 (.f64 y (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))) (*.f64 z x)))
(.f64 1/2 (/.f64 (.f64 y (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))) (*.f64 z x)))
(.f64 1/2 (/.f64 (.f64 y (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))) (*.f64 z x)))
(.f64 1/2 (/.f64 (.f64 y (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))) (*.f64 z x)))
(.f64 1/2 (/.f64 (.f64 y (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))) (*.f64 z x)))
(.f64 1/2 (/.f64 (.f64 y (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))) (*.f64 z x)))
(.f64 1/2 (/.f64 (.f64 y (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))) (*.f64 z x)))
(.f64 1/2 (/.f64 (.f64 y (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))) (*.f64 z x)))
(.f64 1/2 (/.f64 (.f64 y (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))) (*.f64 z x)))
(.f64 1/2 (/.f64 (.f64 y (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))) (*.f64 z x)))
(/.f64 (+.f64 (.f64 1/2 (.f64 y (exp.f64 x))) (.f64 1/2 (/.f64 y (exp.f64 x)))) (.f64 z x))
(/.f64 (+.f64 (.f64 1/2 (.f64 y (exp.f64 x))) (.f64 1/2 (/.f64 y (exp.f64 x)))) (.f64 z x))
(/.f64 (+.f64 (.f64 1/2 (.f64 y (exp.f64 x))) (.f64 1/2 (/.f64 y (exp.f64 x)))) (.f64 z x))
(/.f64 (+.f64 (.f64 1/2 (.f64 y (exp.f64 x))) (.f64 1/2 (/.f64 y (exp.f64 x)))) (.f64 z x))
(/.f64 (+.f64 (.f64 1/2 (.f64 y (exp.f64 x))) (.f64 1/2 (/.f64 y (exp.f64 x)))) (.f64 z x))
(/.f64 (+.f64 (.f64 1/2 (.f64 y (exp.f64 x))) (.f64 1/2 (/.f64 y (exp.f64 x)))) (.f64 z x))
(/.f64 (+.f64 (.f64 1/2 (.f64 y (exp.f64 x))) (.f64 1/2 (/.f64 y (exp.f64 x)))) (.f64 z x))
(/.f64 (+.f64 (.f64 1/2 (.f64 y (exp.f64 x))) (.f64 1/2 (/.f64 y (exp.f64 x)))) (.f64 z x))

Outputs
(/.f64 y (*.f64 z x))
(+.f64 (.f64 1/2 (/.f64 (.f64 y x) z)) (/.f64 y (*.f64 z x)))
(fma.f64 1/2 (/.f64 y (/.f64 z x)) (/.f64 y (*.f64 z x)))
(fma.f64 1/2 (.f64 (/.f64 y z) x) (/.f64 y (.f64 z x)))
(fma.f64 1/2 (.f64 x (/.f64 y z)) (/.f64 y (.f64 z x)))
(.f64 (/.f64 y z) (+.f64 (/.f64 1 x) (.f64 x 1/2)))
(+.f64 (.f64 1/2 (/.f64 (.f64 y x) z)) (+.f64 (/.f64 y (.f64 z x)) (.f64 1/24 (/.f64 (*.f64 y (pow.f64 x 3)) z))))
(+.f64 (fma.f64 1/2 (/.f64 y (/.f64 z x)) (/.f64 y (.f64 z x))) (.f64 1/24 (/.f64 (*.f64 y (pow.f64 x 3)) z)))
(fma.f64 1/2 (.f64 (/.f64 y z) x) (fma.f64 1/24 (.f64 (/.f64 y z) (pow.f64 x 3)) (/.f64 y (*.f64 z x))))
(fma.f64 1/2 (.f64 x (/.f64 y z)) (fma.f64 1/24 (.f64 (pow.f64 x 3) (/.f64 y z)) (/.f64 y (*.f64 z x))))
(+.f64 (/.f64 y (.f64 z x)) (.f64 (/.f64 y z) (+.f64 (.f64 1/24 (pow.f64 x 3)) (.f64 x 1/2))))
(.f64 (/.f64 y z) (+.f64 (/.f64 1 x) (fma.f64 x 1/2 (.f64 1/24 (pow.f64 x 3)))))
(+.f64 (.f64 1/720 (/.f64 (.f64 y (pow.f64 x 5)) z)) (+.f64 (.f64 1/2 (/.f64 (.f64 y x) z)) (+.f64 (/.f64 y (.f64 z x)) (.f64 1/24 (/.f64 (*.f64 y (pow.f64 x 3)) z)))))
(fma.f64 1/720 (/.f64 y (/.f64 z (pow.f64 x 5))) (+.f64 (fma.f64 1/2 (/.f64 y (/.f64 z x)) (/.f64 y (.f64 z x))) (.f64 1/24 (/.f64 (*.f64 y (pow.f64 x 3)) z))))
(fma.f64 1/720 (/.f64 y (/.f64 z (pow.f64 x 5))) (fma.f64 1/2 (.f64 (/.f64 y z) x) (fma.f64 1/24 (.f64 (/.f64 y z) (pow.f64 x 3)) (/.f64 y (*.f64 z x)))))
(fma.f64 1/2 (.f64 x (/.f64 y z)) (fma.f64 1/720 (.f64 (pow.f64 x 5) (/.f64 y z)) (fma.f64 1/24 (.f64 (pow.f64 x 3) (/.f64 y z)) (/.f64 y (.f64 z x)))))
(+.f64 (/.f64 y (.f64 z x)) (fma.f64 1/24 (.f64 y (/.f64 (pow.f64 x 3) z)) (.f64 (/.f64 y z) (+.f64 (.f64 1/720 (pow.f64 x 5)) (*.f64 x 1/2)))))
(+.f64 (/.f64 y (.f64 z x)) (.f64 (/.f64 y z) (+.f64 (.f64 1/720 (pow.f64 x 5)) (fma.f64 x 1/2 (.f64 1/24 (pow.f64 x 3))))))
(/.f64 (+.f64 (.f64 1/2 (.f64 (exp.f64 x) y)) (.f64 1/2 (/.f64 y (exp.f64 x)))) (.f64 z x))
(/.f64 (.f64 1/2 (+.f64 (.f64 y (exp.f64 x)) (/.f64 y (exp.f64 x)))) (*.f64 z x))
(.f64 (/.f64 y (.f64 z x)) (fma.f64 1/2 (exp.f64 x) (/.f64 1/2 (exp.f64 x))))
(.f64 (/.f64 1/2 (.f64 z x)) (fma.f64 y (exp.f64 x) (/.f64 y (exp.f64 x))))
(.f64 y (/.f64 (fma.f64 1/2 (exp.f64 x) (/.f64 1/2 (exp.f64 x))) (.f64 z x)))
(/.f64 (+.f64 (.f64 1/2 (.f64 (exp.f64 x) y)) (.f64 1/2 (/.f64 y (exp.f64 x)))) (.f64 z x))
(/.f64 (.f64 1/2 (+.f64 (.f64 y (exp.f64 x)) (/.f64 y (exp.f64 x)))) (*.f64 z x))
(.f64 (/.f64 y (.f64 z x)) (fma.f64 1/2 (exp.f64 x) (/.f64 1/2 (exp.f64 x))))
(.f64 (/.f64 1/2 (.f64 z x)) (fma.f64 y (exp.f64 x) (/.f64 y (exp.f64 x))))
(.f64 y (/.f64 (fma.f64 1/2 (exp.f64 x) (/.f64 1/2 (exp.f64 x))) (.f64 z x)))
(/.f64 (+.f64 (.f64 1/2 (.f64 (exp.f64 x) y)) (.f64 1/2 (/.f64 y (exp.f64 x)))) (.f64 z x))
(/.f64 (.f64 1/2 (+.f64 (.f64 y (exp.f64 x)) (/.f64 y (exp.f64 x)))) (*.f64 z x))
(.f64 (/.f64 y (.f64 z x)) (fma.f64 1/2 (exp.f64 x) (/.f64 1/2 (exp.f64 x))))
(.f64 (/.f64 1/2 (.f64 z x)) (fma.f64 y (exp.f64 x) (/.f64 y (exp.f64 x))))
(.f64 y (/.f64 (fma.f64 1/2 (exp.f64 x) (/.f64 1/2 (exp.f64 x))) (.f64 z x)))
(/.f64 (+.f64 (.f64 1/2 (.f64 (exp.f64 x) y)) (.f64 1/2 (/.f64 y (exp.f64 x)))) (.f64 z x))
(/.f64 (.f64 1/2 (+.f64 (.f64 y (exp.f64 x)) (/.f64 y (exp.f64 x)))) (*.f64 z x))
(.f64 (/.f64 y (.f64 z x)) (fma.f64 1/2 (exp.f64 x) (/.f64 1/2 (exp.f64 x))))
(.f64 (/.f64 1/2 (.f64 z x)) (fma.f64 y (exp.f64 x) (/.f64 y (exp.f64 x))))
(.f64 y (/.f64 (fma.f64 1/2 (exp.f64 x) (/.f64 1/2 (exp.f64 x))) (.f64 z x)))
(/.f64 (+.f64 (.f64 1/2 (.f64 y (exp.f64 x))) (.f64 1/2 (/.f64 y (exp.f64 x)))) (.f64 z x))
(/.f64 (.f64 1/2 (+.f64 (.f64 y (exp.f64 x)) (/.f64 y (exp.f64 x)))) (*.f64 z x))
(.f64 (/.f64 y (.f64 z x)) (fma.f64 1/2 (exp.f64 x) (/.f64 1/2 (exp.f64 x))))
(.f64 (/.f64 1/2 (.f64 z x)) (fma.f64 y (exp.f64 x) (/.f64 y (exp.f64 x))))
(.f64 y (/.f64 (fma.f64 1/2 (exp.f64 x) (/.f64 1/2 (exp.f64 x))) (.f64 z x)))
(/.f64 (+.f64 (.f64 1/2 (.f64 y (exp.f64 x))) (.f64 1/2 (/.f64 y (exp.f64 x)))) (.f64 z x))
(/.f64 (.f64 1/2 (+.f64 (.f64 y (exp.f64 x)) (/.f64 y (exp.f64 x)))) (*.f64 z x))
(.f64 (/.f64 y (.f64 z x)) (fma.f64 1/2 (exp.f64 x) (/.f64 1/2 (exp.f64 x))))
(.f64 (/.f64 1/2 (.f64 z x)) (fma.f64 y (exp.f64 x) (/.f64 y (exp.f64 x))))
(.f64 y (/.f64 (fma.f64 1/2 (exp.f64 x) (/.f64 1/2 (exp.f64 x))) (.f64 z x)))
(/.f64 (+.f64 (.f64 1/2 (.f64 y (exp.f64 x))) (.f64 1/2 (/.f64 y (exp.f64 x)))) (.f64 z x))
(/.f64 (.f64 1/2 (+.f64 (.f64 y (exp.f64 x)) (/.f64 y (exp.f64 x)))) (*.f64 z x))
(.f64 (/.f64 y (.f64 z x)) (fma.f64 1/2 (exp.f64 x) (/.f64 1/2 (exp.f64 x))))
(.f64 (/.f64 1/2 (.f64 z x)) (fma.f64 y (exp.f64 x) (/.f64 y (exp.f64 x))))
(.f64 y (/.f64 (fma.f64 1/2 (exp.f64 x) (/.f64 1/2 (exp.f64 x))) (.f64 z x)))
(/.f64 (+.f64 (.f64 1/2 (.f64 y (exp.f64 x))) (.f64 1/2 (/.f64 y (exp.f64 x)))) (.f64 z x))
(/.f64 (.f64 1/2 (+.f64 (.f64 y (exp.f64 x)) (/.f64 y (exp.f64 x)))) (*.f64 z x))
(.f64 (/.f64 y (.f64 z x)) (fma.f64 1/2 (exp.f64 x) (/.f64 1/2 (exp.f64 x))))
(.f64 (/.f64 1/2 (.f64 z x)) (fma.f64 y (exp.f64 x) (/.f64 y (exp.f64 x))))
(.f64 y (/.f64 (fma.f64 1/2 (exp.f64 x) (/.f64 1/2 (exp.f64 x))) (.f64 z x)))
(/.f64 (.f64 y (+.f64 (.f64 1/2 (/.f64 1 (exp.f64 x))) (.f64 1/2 (exp.f64 x)))) (.f64 z x))
(/.f64 (.f64 1/2 (+.f64 (.f64 y (exp.f64 x)) (/.f64 y (exp.f64 x)))) (*.f64 z x))
(.f64 (/.f64 y (.f64 z x)) (fma.f64 1/2 (exp.f64 x) (/.f64 1/2 (exp.f64 x))))
(.f64 (/.f64 1/2 (.f64 z x)) (fma.f64 y (exp.f64 x) (/.f64 y (exp.f64 x))))
(.f64 y (/.f64 (fma.f64 1/2 (exp.f64 x) (/.f64 1/2 (exp.f64 x))) (.f64 z x)))
(/.f64 (.f64 y (+.f64 (.f64 1/2 (/.f64 1 (exp.f64 x))) (.f64 1/2 (exp.f64 x)))) (.f64 z x))
(/.f64 (.f64 1/2 (+.f64 (.f64 y (exp.f64 x)) (/.f64 y (exp.f64 x)))) (*.f64 z x))
(.f64 (/.f64 y (.f64 z x)) (fma.f64 1/2 (exp.f64 x) (/.f64 1/2 (exp.f64 x))))
(.f64 (/.f64 1/2 (.f64 z x)) (fma.f64 y (exp.f64 x) (/.f64 y (exp.f64 x))))
(.f64 y (/.f64 (fma.f64 1/2 (exp.f64 x) (/.f64 1/2 (exp.f64 x))) (.f64 z x)))
(/.f64 (.f64 y (+.f64 (.f64 1/2 (/.f64 1 (exp.f64 x))) (.f64 1/2 (exp.f64 x)))) (.f64 z x))
(/.f64 (.f64 1/2 (+.f64 (.f64 y (exp.f64 x)) (/.f64 y (exp.f64 x)))) (*.f64 z x))
(.f64 (/.f64 y (.f64 z x)) (fma.f64 1/2 (exp.f64 x) (/.f64 1/2 (exp.f64 x))))
(.f64 (/.f64 1/2 (.f64 z x)) (fma.f64 y (exp.f64 x) (/.f64 y (exp.f64 x))))
(.f64 y (/.f64 (fma.f64 1/2 (exp.f64 x) (/.f64 1/2 (exp.f64 x))) (.f64 z x)))
(/.f64 (.f64 y (+.f64 (.f64 1/2 (/.f64 1 (exp.f64 x))) (.f64 1/2 (exp.f64 x)))) (.f64 z x))
(/.f64 (.f64 1/2 (+.f64 (.f64 y (exp.f64 x)) (/.f64 y (exp.f64 x)))) (*.f64 z x))
(.f64 (/.f64 y (.f64 z x)) (fma.f64 1/2 (exp.f64 x) (/.f64 1/2 (exp.f64 x))))
(.f64 (/.f64 1/2 (.f64 z x)) (fma.f64 y (exp.f64 x) (/.f64 y (exp.f64 x))))
(.f64 y (/.f64 (fma.f64 1/2 (exp.f64 x) (/.f64 1/2 (exp.f64 x))) (.f64 z x)))
(.f64 1/2 (/.f64 (.f64 y (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))) (*.f64 z x)))
(/.f64 (.f64 1/2 (+.f64 (.f64 y (exp.f64 x)) (/.f64 y (exp.f64 x)))) (*.f64 z x))
(.f64 (/.f64 y (.f64 z x)) (fma.f64 1/2 (exp.f64 x) (/.f64 1/2 (exp.f64 x))))
(.f64 (/.f64 1/2 (.f64 z x)) (fma.f64 y (exp.f64 x) (/.f64 y (exp.f64 x))))
(.f64 y (/.f64 (fma.f64 1/2 (exp.f64 x) (/.f64 1/2 (exp.f64 x))) (.f64 z x)))
(.f64 1/2 (/.f64 (.f64 y (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))) (*.f64 z x)))
(/.f64 (.f64 1/2 (+.f64 (.f64 y (exp.f64 x)) (/.f64 y (exp.f64 x)))) (*.f64 z x))
(.f64 (/.f64 y (.f64 z x)) (fma.f64 1/2 (exp.f64 x) (/.f64 1/2 (exp.f64 x))))
(.f64 (/.f64 1/2 (.f64 z x)) (fma.f64 y (exp.f64 x) (/.f64 y (exp.f64 x))))
(.f64 y (/.f64 (fma.f64 1/2 (exp.f64 x) (/.f64 1/2 (exp.f64 x))) (.f64 z x)))
(.f64 1/2 (/.f64 (.f64 y (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))) (*.f64 z x)))
(/.f64 (.f64 1/2 (+.f64 (.f64 y (exp.f64 x)) (/.f64 y (exp.f64 x)))) (*.f64 z x))
(.f64 (/.f64 y (.f64 z x)) (fma.f64 1/2 (exp.f64 x) (/.f64 1/2 (exp.f64 x))))
(.f64 (/.f64 1/2 (.f64 z x)) (fma.f64 y (exp.f64 x) (/.f64 y (exp.f64 x))))
(.f64 y (/.f64 (fma.f64 1/2 (exp.f64 x) (/.f64 1/2 (exp.f64 x))) (.f64 z x)))
(.f64 1/2 (/.f64 (.f64 y (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))) (*.f64 z x)))
(/.f64 (.f64 1/2 (+.f64 (.f64 y (exp.f64 x)) (/.f64 y (exp.f64 x)))) (*.f64 z x))
(.f64 (/.f64 y (.f64 z x)) (fma.f64 1/2 (exp.f64 x) (/.f64 1/2 (exp.f64 x))))
(.f64 (/.f64 1/2 (.f64 z x)) (fma.f64 y (exp.f64 x) (/.f64 y (exp.f64 x))))
(.f64 y (/.f64 (fma.f64 1/2 (exp.f64 x) (/.f64 1/2 (exp.f64 x))) (.f64 z x)))
(.f64 1/2 (/.f64 (.f64 y (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))) (*.f64 z x)))
(/.f64 (.f64 1/2 (+.f64 (.f64 y (exp.f64 x)) (/.f64 y (exp.f64 x)))) (*.f64 z x))
(.f64 (/.f64 y (.f64 z x)) (fma.f64 1/2 (exp.f64 x) (/.f64 1/2 (exp.f64 x))))
(.f64 (/.f64 1/2 (.f64 z x)) (fma.f64 y (exp.f64 x) (/.f64 y (exp.f64 x))))
(.f64 y (/.f64 (fma.f64 1/2 (exp.f64 x) (/.f64 1/2 (exp.f64 x))) (.f64 z x)))
(.f64 1/2 (/.f64 (.f64 y (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))) (*.f64 z x)))
(/.f64 (.f64 1/2 (+.f64 (.f64 y (exp.f64 x)) (/.f64 y (exp.f64 x)))) (*.f64 z x))
(.f64 (/.f64 y (.f64 z x)) (fma.f64 1/2 (exp.f64 x) (/.f64 1/2 (exp.f64 x))))
(.f64 (/.f64 1/2 (.f64 z x)) (fma.f64 y (exp.f64 x) (/.f64 y (exp.f64 x))))
(.f64 y (/.f64 (fma.f64 1/2 (exp.f64 x) (/.f64 1/2 (exp.f64 x))) (.f64 z x)))
(.f64 1/2 (/.f64 (.f64 y (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))) (*.f64 z x)))
(/.f64 (.f64 1/2 (+.f64 (.f64 y (exp.f64 x)) (/.f64 y (exp.f64 x)))) (*.f64 z x))
(.f64 (/.f64 y (.f64 z x)) (fma.f64 1/2 (exp.f64 x) (/.f64 1/2 (exp.f64 x))))
(.f64 (/.f64 1/2 (.f64 z x)) (fma.f64 y (exp.f64 x) (/.f64 y (exp.f64 x))))
(.f64 y (/.f64 (fma.f64 1/2 (exp.f64 x) (/.f64 1/2 (exp.f64 x))) (.f64 z x)))
(.f64 1/2 (/.f64 (.f64 y (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))) (*.f64 z x)))
(/.f64 (.f64 1/2 (+.f64 (.f64 y (exp.f64 x)) (/.f64 y (exp.f64 x)))) (*.f64 z x))
(.f64 (/.f64 y (.f64 z x)) (fma.f64 1/2 (exp.f64 x) (/.f64 1/2 (exp.f64 x))))
(.f64 (/.f64 1/2 (.f64 z x)) (fma.f64 y (exp.f64 x) (/.f64 y (exp.f64 x))))
(.f64 y (/.f64 (fma.f64 1/2 (exp.f64 x) (/.f64 1/2 (exp.f64 x))) (.f64 z x)))
(.f64 1/2 (/.f64 (.f64 y (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))) (*.f64 z x)))
(/.f64 (.f64 1/2 (+.f64 (.f64 y (exp.f64 x)) (/.f64 y (exp.f64 x)))) (*.f64 z x))
(.f64 (/.f64 y (.f64 z x)) (fma.f64 1/2 (exp.f64 x) (/.f64 1/2 (exp.f64 x))))
(.f64 (/.f64 1/2 (.f64 z x)) (fma.f64 y (exp.f64 x) (/.f64 y (exp.f64 x))))
(.f64 y (/.f64 (fma.f64 1/2 (exp.f64 x) (/.f64 1/2 (exp.f64 x))) (.f64 z x)))
(.f64 1/2 (/.f64 (.f64 y (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))) (*.f64 z x)))
(/.f64 (.f64 1/2 (+.f64 (.f64 y (exp.f64 x)) (/.f64 y (exp.f64 x)))) (*.f64 z x))
(.f64 (/.f64 y (.f64 z x)) (fma.f64 1/2 (exp.f64 x) (/.f64 1/2 (exp.f64 x))))
(.f64 (/.f64 1/2 (.f64 z x)) (fma.f64 y (exp.f64 x) (/.f64 y (exp.f64 x))))
(.f64 y (/.f64 (fma.f64 1/2 (exp.f64 x) (/.f64 1/2 (exp.f64 x))) (.f64 z x)))
(.f64 1/2 (/.f64 (.f64 y (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))) (*.f64 z x)))
(/.f64 (.f64 1/2 (+.f64 (.f64 y (exp.f64 x)) (/.f64 y (exp.f64 x)))) (*.f64 z x))
(.f64 (/.f64 y (.f64 z x)) (fma.f64 1/2 (exp.f64 x) (/.f64 1/2 (exp.f64 x))))
(.f64 (/.f64 1/2 (.f64 z x)) (fma.f64 y (exp.f64 x) (/.f64 y (exp.f64 x))))
(.f64 y (/.f64 (fma.f64 1/2 (exp.f64 x) (/.f64 1/2 (exp.f64 x))) (.f64 z x)))
(.f64 1/2 (/.f64 (.f64 y (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))) (*.f64 z x)))
(/.f64 (.f64 1/2 (+.f64 (.f64 y (exp.f64 x)) (/.f64 y (exp.f64 x)))) (*.f64 z x))
(.f64 (/.f64 y (.f64 z x)) (fma.f64 1/2 (exp.f64 x) (/.f64 1/2 (exp.f64 x))))
(.f64 (/.f64 1/2 (.f64 z x)) (fma.f64 y (exp.f64 x) (/.f64 y (exp.f64 x))))
(.f64 y (/.f64 (fma.f64 1/2 (exp.f64 x) (/.f64 1/2 (exp.f64 x))) (.f64 z x)))
(/.f64 (+.f64 (.f64 1/2 (.f64 y (exp.f64 x))) (.f64 1/2 (/.f64 y (exp.f64 x)))) (.f64 z x))
(/.f64 (.f64 1/2 (+.f64 (.f64 y (exp.f64 x)) (/.f64 y (exp.f64 x)))) (*.f64 z x))
(.f64 (/.f64 y (.f64 z x)) (fma.f64 1/2 (exp.f64 x) (/.f64 1/2 (exp.f64 x))))
(.f64 (/.f64 1/2 (.f64 z x)) (fma.f64 y (exp.f64 x) (/.f64 y (exp.f64 x))))
(.f64 y (/.f64 (fma.f64 1/2 (exp.f64 x) (/.f64 1/2 (exp.f64 x))) (.f64 z x)))
(/.f64 (+.f64 (.f64 1/2 (.f64 y (exp.f64 x))) (.f64 1/2 (/.f64 y (exp.f64 x)))) (.f64 z x))
(/.f64 (.f64 1/2 (+.f64 (.f64 y (exp.f64 x)) (/.f64 y (exp.f64 x)))) (*.f64 z x))
(.f64 (/.f64 y (.f64 z x)) (fma.f64 1/2 (exp.f64 x) (/.f64 1/2 (exp.f64 x))))
(.f64 (/.f64 1/2 (.f64 z x)) (fma.f64 y (exp.f64 x) (/.f64 y (exp.f64 x))))
(.f64 y (/.f64 (fma.f64 1/2 (exp.f64 x) (/.f64 1/2 (exp.f64 x))) (.f64 z x)))
(/.f64 (+.f64 (.f64 1/2 (.f64 y (exp.f64 x))) (.f64 1/2 (/.f64 y (exp.f64 x)))) (.f64 z x))
(/.f64 (.f64 1/2 (+.f64 (.f64 y (exp.f64 x)) (/.f64 y (exp.f64 x)))) (*.f64 z x))
(.f64 (/.f64 y (.f64 z x)) (fma.f64 1/2 (exp.f64 x) (/.f64 1/2 (exp.f64 x))))
(.f64 (/.f64 1/2 (.f64 z x)) (fma.f64 y (exp.f64 x) (/.f64 y (exp.f64 x))))
(.f64 y (/.f64 (fma.f64 1/2 (exp.f64 x) (/.f64 1/2 (exp.f64 x))) (.f64 z x)))
(/.f64 (+.f64 (.f64 1/2 (.f64 y (exp.f64 x))) (.f64 1/2 (/.f64 y (exp.f64 x)))) (.f64 z x))
(/.f64 (.f64 1/2 (+.f64 (.f64 y (exp.f64 x)) (/.f64 y (exp.f64 x)))) (*.f64 z x))
(.f64 (/.f64 y (.f64 z x)) (fma.f64 1/2 (exp.f64 x) (/.f64 1/2 (exp.f64 x))))
(.f64 (/.f64 1/2 (.f64 z x)) (fma.f64 y (exp.f64 x) (/.f64 y (exp.f64 x))))
(.f64 y (/.f64 (fma.f64 1/2 (exp.f64 x) (/.f64 1/2 (exp.f64 x))) (.f64 z x)))
(/.f64 (+.f64 (.f64 1/2 (.f64 y (exp.f64 x))) (.f64 1/2 (/.f64 y (exp.f64 x)))) (.f64 z x))
(/.f64 (.f64 1/2 (+.f64 (.f64 y (exp.f64 x)) (/.f64 y (exp.f64 x)))) (*.f64 z x))
(.f64 (/.f64 y (.f64 z x)) (fma.f64 1/2 (exp.f64 x) (/.f64 1/2 (exp.f64 x))))
(.f64 (/.f64 1/2 (.f64 z x)) (fma.f64 y (exp.f64 x) (/.f64 y (exp.f64 x))))
(.f64 y (/.f64 (fma.f64 1/2 (exp.f64 x) (/.f64 1/2 (exp.f64 x))) (.f64 z x)))
(/.f64 (+.f64 (.f64 1/2 (.f64 y (exp.f64 x))) (.f64 1/2 (/.f64 y (exp.f64 x)))) (.f64 z x))
(/.f64 (.f64 1/2 (+.f64 (.f64 y (exp.f64 x)) (/.f64 y (exp.f64 x)))) (*.f64 z x))
(.f64 (/.f64 y (.f64 z x)) (fma.f64 1/2 (exp.f64 x) (/.f64 1/2 (exp.f64 x))))
(.f64 (/.f64 1/2 (.f64 z x)) (fma.f64 y (exp.f64 x) (/.f64 y (exp.f64 x))))
(.f64 y (/.f64 (fma.f64 1/2 (exp.f64 x) (/.f64 1/2 (exp.f64 x))) (.f64 z x)))
(/.f64 (+.f64 (.f64 1/2 (.f64 y (exp.f64 x))) (.f64 1/2 (/.f64 y (exp.f64 x)))) (.f64 z x))
(/.f64 (.f64 1/2 (+.f64 (.f64 y (exp.f64 x)) (/.f64 y (exp.f64 x)))) (*.f64 z x))
(.f64 (/.f64 y (.f64 z x)) (fma.f64 1/2 (exp.f64 x) (/.f64 1/2 (exp.f64 x))))
(.f64 (/.f64 1/2 (.f64 z x)) (fma.f64 y (exp.f64 x) (/.f64 y (exp.f64 x))))
(.f64 y (/.f64 (fma.f64 1/2 (exp.f64 x) (/.f64 1/2 (exp.f64 x))) (.f64 z x)))
(/.f64 (+.f64 (.f64 1/2 (.f64 y (exp.f64 x))) (.f64 1/2 (/.f64 y (exp.f64 x)))) (.f64 z x))
(/.f64 (.f64 1/2 (+.f64 (.f64 y (exp.f64 x)) (/.f64 y (exp.f64 x)))) (*.f64 z x))
(.f64 (/.f64 y (.f64 z x)) (fma.f64 1/2 (exp.f64 x) (/.f64 1/2 (exp.f64 x))))
(.f64 (/.f64 1/2 (.f64 z x)) (fma.f64 y (exp.f64 x) (/.f64 y (exp.f64 x))))
(.f64 y (/.f64 (fma.f64 1/2 (exp.f64 x) (/.f64 1/2 (exp.f64 x))) (.f64 z x)))

prune106.0ms (1.6%)

Pruning

8 alts after pruning (5 fresh and 3 done)

	Pruned	Kept	Total
New	198	0	198
Fresh	0	5	5
Picked	0	1	1
Done	0	2	2
Total	198	8	206

Error

0.0b

Counts

206 → 8

Alt Table

Status	Error	Program
✓	5.5b	(/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z)
	7.0b	(*.f64 (/.f64 (/.f64 (cosh.f64 x) x) 1) (/.f64 y z))
	7.2b	(/.f64 (cosh.f64 x) (*.f64 x (/.f64 z y)))
	6.5b	(pow.f64 (cbrt.f64 (/.f64 (cosh.f64 x) (/.f64 z (/.f64 y x)))) 3)
✓	5.6b	(*.f64 (/.f64 (sqrt.f64 (cosh.f64 x)) z) (/.f64 (sqrt.f64 (cosh.f64 x)) (/.f64 x y)))
	8.9b	(.f64 1/2 (/.f64 (.f64 y (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))) (*.f64 z x)))
✓	6.3b	(/.f64 (pow.f64 (cbrt.f64 (*.f64 (cosh.f64 x) (/.f64 y x))) 3) z)
	34.7b	(.f64 (/.f64 (sqrt.f64 (.f64 (cosh.f64 x) (/.f64 y x))) 1) (/.f64 (sqrt.f64 (*.f64 (cosh.f64 x) (/.f64 y x))) z))

Compiler

Compiled 3178 to 1226 computations (61.4% saved)

regimes2.3s (35%)

Accuracy

Total 0.9b remaining (94.7%)

Threshold costs 0.9b (94.7%)

Counts

191 → 3

Compiler

Compiled 2368 to 782 computations (67% saved)

bsearch76.0ms (1.1%)

Algorithm

2×	binary-search

Calls

2 calls:

43.0ms	z
31.0ms	z

Steps

Iters	Point		Range
4.4e-100	∈ [	1.0979692173612798e-106	,	4.4310110798830995e-100	]
-3.5e+25	∈ [	-1.568985544298175e+27	,	-2.7172170819382493e+25	]

Compiler

Compiled 4 to 3 computations (25% saved)

simplify5.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

13×	`*-commutative_binary64`
8×	`+-commutative_binary64`
6×	`sub-neg_binary64`
6×	`neg-sub0_binary64`
6×	`neg-mul-1_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	35	77
1	52	77
2	64	77
3	75	77
4	82	77
5	86	77
6	87	77

Stop Event

1×

saturated

Calls

Call 1

Inputs

(if (<=.f64 z -34999999999999999949668352) (+.f64 (/.f64 y (*.f64 z x)) (*.f64 (/.f64 y z) (fma.f64 x 1/2 (*.f64 1/24 (pow.f64 x 3))))) (if (<=.f64 z 8668441363206785/19701003098197239606139520050071806902539869635232723333974146702122860885748605305707133127442457820403313995153408) (/.f64 (/.f64 (*.f64 (cosh.f64 x) (neg.f64 y)) (neg.f64 x)) z) (*.f64 1/2 (/.f64 (*.f64 y (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))) (*.f64 z x)))))

Outputs

(if (<=.f64 z -34999999999999999949668352) (+.f64 (/.f64 y (*.f64 z x)) (*.f64 (/.f64 y z) (fma.f64 x 1/2 (*.f64 1/24 (pow.f64 x 3))))) (if (<=.f64 z 8668441363206785/19701003098197239606139520050071806902539869635232723333974146702122860885748605305707133127442457820403313995153408) (/.f64 (/.f64 (*.f64 (cosh.f64 x) (neg.f64 y)) (neg.f64 x)) z) (*.f64 1/2 (/.f64 (*.f64 y (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))) (*.f64 z x)))))

(if (<=.f64 z -34999999999999999949668352) (+.f64 (/.f64 y (*.f64 z x)) (*.f64 (/.f64 y z) (fma.f64 x 1/2 (*.f64 1/24 (pow.f64 x 3))))) (if (<=.f64 z 8668441363206785/19701003098197239606139520050071806902539869635232723333974146702122860885748605305707133127442457820403313995153408) (/.f64 (/.f64 (*.f64 (cosh.f64 x) (neg.f64 y)) (neg.f64 x)) z) (*.f64 1/2 (/.f64 (*.f64 y (+.f64 (exp.f64 x) (/.f64 1 (exp.f64 x)))) (*.f64 z x)))))

(if (<=.f64 z -34999999999999999949668352) (+.f64 (/.f64 y (*.f64 z x)) (*.f64 (/.f64 y z) (fma.f64 x 1/2 (*.f64 1/24 (pow.f64 x 3))))) (if (<=.f64 z 8668441363206785/19701003098197239606139520050071806902539869635232723333974146702122860885748605305707133127442457820403313995153408) (/.f64 (/.f64 (*.f64 y (neg.f64 (cosh.f64 x))) (neg.f64 x)) z) (*.f64 1/2 (/.f64 (*.f64 y (+.f64 (exp.f64 x) (/.f64 1 (exp.f64 x)))) (*.f64 z x)))))

end287.0ms (4.3%)

Stop Event

1×

fuel

Compiler

Compiled 227 to 143 computations (37% saved)

Details

analyze851.0ms (12.8%)

sample1.8s (27.5%)

preprocess46.0ms (0.7%)

simplify32.0ms (0.5%)

prune7.0ms (0.1%)

localize5.0ms (0.1%)

series19.0ms (0.3%)

rewrite66.0ms (1%)

simplify46.0ms (0.7%)

prune123.0ms (1.8%)

localize5.0ms (0.1%)

series5.0ms (0.1%)

rewrite55.0ms (0.8%)

simplify113.0ms (1.7%)

prune141.0ms (2.1%)

localize7.0ms (0.1%)

series23.0ms (0.4%)

rewrite68.0ms (1%)

simplify57.0ms (0.9%)

prune204.0ms (3.1%)

localize10.0ms (0.1%)

series24.0ms (0.4%)

rewrite64.0ms (1%)

simplify46.0ms (0.7%)

prune106.0ms (1.6%)

regimes2.3s (35%)

bsearch76.0ms (1.1%)

simplify5.0ms (0.1%)

end287.0ms (4.3%)

Profiling