Details

analyze823.0ms (21.5%)

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)

sample1.6s (42.5%)

Results

863.0ms	8256×	body	128	valid
740.0ms	7105×	body	128	invalid

preprocess49.0ms (1.3%)

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 (0.8%)

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)))

prune3.0ms (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

0.1b

Counts

3 → 2

Alt Table

Status	Error	Program
▶	7.3b	(/.f64 (cosh.f64 x) (*.f64 x (/.f64 z y)))
	9.2b	(/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z)

Compiler

Compiled 63 to 38 computations (39.7% saved)

localize6.0ms (0.2%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(cosh.f64 x)
✓	0.4b	(/.f64 (cosh.f64 x) (*.f64 x (/.f64 z y)))
✓	7.0b	(*.f64 x (/.f64 z y))

series20.0ms (0.5%)

Counts

3 → 84

Calls

21 calls:

Time	Variable		Point	Expression
4.0ms	x	@	-inf	(/.f64 (cosh.f64 x) (*.f64 x (/.f64 z y)))
2.0ms	x	@	inf	(/.f64 (cosh.f64 x) (*.f64 x (/.f64 z y)))
2.0ms	x	@	0	(/.f64 (cosh.f64 x) (*.f64 x (/.f64 z y)))
2.0ms	z	@	0	(/.f64 (cosh.f64 x) (*.f64 x (/.f64 z y)))
1.0ms	y	@	0	(/.f64 (cosh.f64 x) (*.f64 x (/.f64 z y)))

rewrite58.0ms (1.5%)

Algorithm

1×	batch-egg-rewrite

Rules

537×	`log-prod_binary64`
172×	`expm1-udef_binary64`
172×	`log1p-udef_binary64`
162×	`pow3_binary64`
160×	`log-div_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	22
1	177	22
2	2615	22

Stop Event

1×	node limit

Counts

3 → 103

Calls

Call 1

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

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

Outputs

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

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

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

simplify55.0ms (1.4%)

Algorithm

1×	egg-herbie

Rules

559×	`times-frac_binary64`
509×	`associate-l_binary64`
492×	`unswap-sqr_binary64`
464×	`fma-def_binary64`
439×	`associate-r_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	52	1215
1	143	1211
2	372	1167
3	1126	1159
4	4093	1159

Stop Event

1×	node limit

Counts

187 → 123

Calls

Call 1

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

prune134.0ms (3.5%)

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	117	6	123
Fresh	0	1	1
Picked	1	0	1
Done	0	0	0
Total	118	7	125

Error

Counts

125 → 7

Alt Table

Status	Error	Program
	8.6b	(/.f64 (cosh.f64 x) (*.f64 z (/.f64 x y)))
	9.1b	(pow.f64 (cbrt.f64 (.f64 (/.f64 (cosh.f64 x) (.f64 x z)) y)) 3)
	7.0b	(*.f64 (/.f64 y z) (/.f64 (cosh.f64 x) x))
▶	6.9b	(*.f64 (cosh.f64 x) (/.f64 (/.f64 y z) x))
	8.3b	(+.f64 0 (.f64 (/.f64 (cosh.f64 x) (.f64 x z)) y))
	8.0b	(.f64 1/2 (/.f64 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) y) (*.f64 z x)))
	9.2b	(/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z)

Compiler

Compiled 1820 to 661 computations (63.7% saved)

localize6.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
	0.0b	(cosh.f64 x)
✓	0.1b	(*.f64 (cosh.f64 x) (/.f64 (/.f64 y z) x))
✓	6.8b	(/.f64 (/.f64 y z) x)

series8.0ms (0.2%)

Counts

2 → 72

Calls

18 calls:

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

rewrite53.0ms (1.4%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	19
1	176	19
2	2597	19

Stop Event

1×	node limit

Counts

2 → 89

Calls

Call 1

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

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

Outputs

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

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

simplify56.0ms (1.5%)

Algorithm

1×	egg-herbie

Rules

755×	`fma-def_binary64`
513×	`associate-/l*_binary64`
349×	`associate-/r*_binary64`
315×	`associate-/r/_binary64`
285×	`*-commutative_binary64`

Iterations

Useful iterations: 5 (0.0ms)

Iter	Nodes	Cost
0	35	1059
1	97	1057
2	259	1055
3	717	1017
4	1923	1007
5	4683	1002

Stop Event

1×	node limit

Counts

161 → 99

Calls

Call 1

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

Outputs
(/.f64 y (*.f64 z x))
(/.f64 (/.f64 y x) z)
(/.f64 (/.f64 y z) x)
(/.f64 y (*.f64 z x))
(/.f64 (/.f64 y x) z)
(/.f64 (/.f64 y z) x)
(/.f64 y (*.f64 z x))
(/.f64 (/.f64 y x) z)
(/.f64 (/.f64 y z) x)
(/.f64 y (*.f64 z x))
(/.f64 (/.f64 y x) z)
(/.f64 (/.f64 y z) x)
(/.f64 y (*.f64 z x))
(/.f64 (/.f64 y x) z)
(/.f64 (/.f64 y z) x)
(/.f64 y (*.f64 z x))
(/.f64 (/.f64 y x) z)
(/.f64 (/.f64 y z) x)
(/.f64 y (*.f64 z x))
(/.f64 (/.f64 y x) z)
(/.f64 (/.f64 y z) x)
(/.f64 y (*.f64 z x))
(/.f64 (/.f64 y x) z)
(/.f64 (/.f64 y z) x)
(/.f64 y (*.f64 z x))
(/.f64 (/.f64 y x) z)
(/.f64 (/.f64 y z) x)
(/.f64 y (*.f64 z x))
(/.f64 (/.f64 y x) z)
(/.f64 (/.f64 y z) x)
(/.f64 y (*.f64 z x))
(/.f64 (/.f64 y x) z)
(/.f64 (/.f64 y z) x)
(/.f64 y (*.f64 z x))
(/.f64 (/.f64 y x) z)
(/.f64 (/.f64 y z) x)
(/.f64 y (*.f64 z x))
(/.f64 (/.f64 y x) z)
(/.f64 (/.f64 y z) x)
(/.f64 y (*.f64 z x))
(/.f64 (/.f64 y x) z)
(/.f64 (/.f64 y z) x)
(/.f64 y (*.f64 z x))
(/.f64 (/.f64 y x) z)
(/.f64 (/.f64 y z) x)
(/.f64 y (*.f64 z x))
(/.f64 (/.f64 y x) z)
(/.f64 (/.f64 y z) x)
(/.f64 y (*.f64 z x))
(/.f64 (/.f64 y x) z)
(/.f64 (/.f64 y z) x)
(/.f64 y (*.f64 z x))
(/.f64 (/.f64 y x) z)
(/.f64 (/.f64 y z) x)
(/.f64 y (*.f64 z x))
(/.f64 (/.f64 y x) z)
(/.f64 (/.f64 y z) x)
(/.f64 y (*.f64 z x))
(/.f64 (/.f64 y x) z)
(/.f64 (/.f64 y z) x)
(/.f64 y (*.f64 z x))
(/.f64 (/.f64 y x) z)
(/.f64 (/.f64 y z) x)
(/.f64 y (*.f64 z x))
(/.f64 (/.f64 y x) z)
(/.f64 (/.f64 y z) x)
(/.f64 y (*.f64 z x))
(/.f64 (/.f64 y x) z)
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(*.f64 (/.f64 (/.f64 y z) 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))) (.f64 z x)))
(.f64 1/2 (/.f64 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) y) (*.f64 z x)))
(.f64 1/2 (.f64 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) z) (/.f64 y x)))
(/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (/.f64 (*.f64 (/.f64 z y) x) 1/2))
(*.f64 (/.f64 (/.f64 y z) 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))) (.f64 z x)))
(.f64 1/2 (/.f64 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) y) (*.f64 z x)))
(.f64 1/2 (.f64 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) z) (/.f64 y x)))
(/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (/.f64 (*.f64 (/.f64 z y) x) 1/2))
(*.f64 (/.f64 (/.f64 y z) 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))) (.f64 z x)))
(.f64 1/2 (/.f64 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) y) (*.f64 z x)))
(.f64 1/2 (.f64 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) z) (/.f64 y x)))
(/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (/.f64 (*.f64 (/.f64 z y) x) 1/2))
(*.f64 (/.f64 (/.f64 y z) 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))) (.f64 z x)))
(.f64 1/2 (/.f64 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) y) (*.f64 z x)))
(.f64 1/2 (.f64 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) z) (/.f64 y x)))
(/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (/.f64 (*.f64 (/.f64 z y) x) 1/2))
(*.f64 (/.f64 (/.f64 y z) 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))) (.f64 z x)))
(.f64 1/2 (/.f64 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) y) (*.f64 z x)))
(.f64 1/2 (.f64 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) z) (/.f64 y x)))
(/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (/.f64 (*.f64 (/.f64 z y) x) 1/2))
(*.f64 (/.f64 (/.f64 y z) 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))) (.f64 z x)))

prune96.0ms (2.5%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	135	0	135
Fresh	0	6	6
Picked	0	1	1
Done	0	0	0
Total	135	7	142

Error

Counts

142 → 7

Alt Table

Status	Error	Program
	8.6b	(/.f64 (cosh.f64 x) (*.f64 z (/.f64 x y)))
	9.1b	(pow.f64 (cbrt.f64 (.f64 (/.f64 (cosh.f64 x) (.f64 x z)) y)) 3)
▶	7.0b	(*.f64 (/.f64 y z) (/.f64 (cosh.f64 x) x))
✓	6.9b	(*.f64 (cosh.f64 x) (/.f64 (/.f64 y z) x))
	8.3b	(+.f64 0 (.f64 (/.f64 (cosh.f64 x) (.f64 x z)) y))
	8.0b	(.f64 1/2 (/.f64 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) y) (*.f64 z x)))
	9.2b	(/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z)

Compiler

Compiled 1956 to 779 computations (60.2% saved)

localize7.0ms (0.2%)

Local error

Found 3 expressions with local error:

New	Error	Program
	0.0b	(cosh.f64 x)
✓	0.0b	(/.f64 (cosh.f64 x) x)
✓	7.0b	(*.f64 (/.f64 y z) (/.f64 (cosh.f64 x) x))

series4.0ms (0.1%)

Counts

2 → 48

Calls

12 calls:

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

rewrite58.0ms (1.5%)

Algorithm

1×	batch-egg-rewrite

Rules

530×	`log-prod_binary64`
185×	`log-div_binary64`
174×	`expm1-udef_binary64`
174×	`log1p-udef_binary64`
164×	`pow3_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	18
1	179	18
2	2688	18

Stop Event

1×	node limit

Counts

2 → 99

Calls

Call 1

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

Outputs

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

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

simplify49.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

921×	`fma-def_binary64`
544×	`associate-/l*_binary64`
363×	`associate-/r*_binary64`
321×	`associate-/r/_binary64`
281×	`*-commutative_binary64`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	46	988
1	128	982
2	347	940
3	925	930
4	2243	922

Stop Event

1×	node limit

Counts

147 → 118

Calls

Call 1

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

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

prune129.0ms (3.4%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	153	1	154
Fresh	1	4	5
Picked	1	0	1
Done	0	1	1
Total	155	6	161

Error

Counts

161 → 6

Alt Table

Status	Error	Program
▶	7.3b	(/.f64 (/.f64 (cosh.f64 x) x) (/.f64 z y))
	8.6b	(/.f64 (cosh.f64 x) (*.f64 z (/.f64 x y)))
	9.1b	(pow.f64 (cbrt.f64 (.f64 (/.f64 (cosh.f64 x) (.f64 x z)) y)) 3)
✓	6.9b	(*.f64 (cosh.f64 x) (/.f64 (/.f64 y z) x))
	8.0b	(.f64 1/2 (/.f64 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) y) (*.f64 z x)))
	9.2b	(/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z)

Compiler

Compiled 2088 to 812 computations (61.1% saved)

localize13.0ms (0.3%)

Local error

Found 3 expressions with local error:

New	Error	Program
	0.0b	(cosh.f64 x)
	0.0b	(/.f64 (cosh.f64 x) x)
✓	7.3b	(/.f64 (/.f64 (cosh.f64 x) x) (/.f64 z y))

series3.0ms (0.1%)

Counts

1 → 36

Calls

9 calls:

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

rewrite47.0ms (1.2%)

Algorithm

1×	batch-egg-rewrite

Rules

571×	`log-prod_binary64`
210×	`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	12
1	182	12
2	2836	12

Stop Event

1×	node limit

Counts

1 → 54

Calls

Call 1

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

Outputs

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

simplify52.0ms (1.4%)

Algorithm

1×	egg-herbie

Rules

755×	`fma-def_binary64`
513×	`associate-/l*_binary64`
349×	`associate-/r*_binary64`
315×	`associate-/r/_binary64`
285×	`*-commutative_binary64`

Iterations

Useful iterations: 5 (0.0ms)

Iter	Nodes	Cost
0	35	807
1	97	805
2	259	803
3	717	765
4	1923	755
5	4683	750

Stop Event

1×	node limit

Counts

90 → 64

Calls

Call 1

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

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

prune114.0ms (3%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	145	1	146
Fresh	1	3	4
Picked	0	1	1
Done	0	1	1
Total	146	6	152

Error

Counts

152 → 6

Alt Table

Status	Error	Program
✓	7.3b	(/.f64 (/.f64 (cosh.f64 x) x) (/.f64 z y))
	8.6b	(/.f64 (cosh.f64 x) (*.f64 z (/.f64 x y)))
✓	6.9b	(*.f64 (cosh.f64 x) (/.f64 (/.f64 y z) x))
	9.2b	(*.f64 (/.f64 (cosh.f64 x) z) (/.f64 (/.f64 1 x) (/.f64 1 y)))
	8.0b	(.f64 1/2 (/.f64 (.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) y) (*.f64 z x)))
	9.2b	(/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z)

Compiler

Compiled 2097 to 808 computations (61.5% saved)

regimes257.0ms (6.7%)

Accuracy

Total -21.6b remaining (-6918.4%)

Threshold costs -21.6b (-6918.4%)

Counts

34 → 3

Compiler

Compiled 381 to 154 computations (59.6% saved)

bsearch1.0ms (0%)

Algorithm

2×	left-value

Calls

2 calls:

0.0ms	(*.f64 (cosh.f64 x) (/.f64 y x))
0.0ms	(*.f64 (cosh.f64 x) (/.f64 y x))

Steps

Iters	Point		Range
2e+293	∈ [	1.1676575310228437e+293	,	1.4270859521339108e+295	]
#hash((type . real) (value . -inf))	∈ [	#hash((type . real) (value . -inf))	,	-3.490197046998829e+302	]

Compiler

Compiled 15 to 10 computations (33.3% saved)

simplify3.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

3×	`*-commutative_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	21	64
1	24	64

Stop Event

1×

saturated

Calls

Call 1

Inputs

(if (<=.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) -inf.0) (*.f64 (cosh.f64 x) (/.f64 (/.f64 y z) x)) (if (<=.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) 199999999999999984924696874707920970120897867915847050405221309697980696558932154585003938846536810050657940462325091296687310550613357744883467580356118956661470790120934939455989945801060127957611687906204227736000759240738169004268617951010459111545827258847272611683204755172652495528787968) (/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z) (/.f64 y (*.f64 z (/.f64 x (cosh.f64 x))))))

Outputs

(if (<=.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) -inf.0) (*.f64 (cosh.f64 x) (/.f64 (/.f64 y z) x)) (if (<=.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) 199999999999999984924696874707920970120897867915847050405221309697980696558932154585003938846536810050657940462325091296687310550613357744883467580356118956661470790120934939455989945801060127957611687906204227736000759240738169004268617951010459111545827258847272611683204755172652495528787968) (/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z) (/.f64 y (*.f64 z (/.f64 x (cosh.f64 x))))))

end64.0ms (1.7%)

Stop Event

1×

fuel

Compiler

Compiled 149 to 60 computations (59.7% saved)

Details

analyze823.0ms (21.5%)

sample1.6s (42.5%)

preprocess49.0ms (1.3%)

simplify32.0ms (0.8%)

prune3.0ms (0.1%)

localize6.0ms (0.2%)

series20.0ms (0.5%)

rewrite58.0ms (1.5%)

simplify55.0ms (1.4%)

prune134.0ms (3.5%)

localize6.0ms (0.1%)

series8.0ms (0.2%)

rewrite53.0ms (1.4%)

simplify56.0ms (1.5%)

prune96.0ms (2.5%)

localize7.0ms (0.2%)

series4.0ms (0.1%)

rewrite58.0ms (1.5%)

simplify49.0ms (1.3%)

prune129.0ms (3.4%)

localize13.0ms (0.3%)

series3.0ms (0.1%)

rewrite47.0ms (1.2%)

simplify52.0ms (1.4%)

prune114.0ms (3%)

regimes257.0ms (6.7%)

bsearch1.0ms (0%)

simplify3.0ms (0.1%)

end64.0ms (1.7%)

Profiling