Details

analyze294.0ms (2.4%)

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	99.9%	0.1%	0%	0%	0%	0
0%	0%	99.9%	0.1%	0%	0%	0%	1
0%	0%	99.9%	0.1%	0%	0%	0%	2
0%	0%	99.9%	0.1%	0%	0%	0%	3
0%	0%	99.9%	0.1%	0%	0%	0%	4
0%	0%	99.9%	0.1%	0%	0%	0%	5
0%	0%	99.9%	0.1%	0%	0%	0%	6
0%	0%	99.9%	0.1%	0%	0%	0%	7
6.3%	6.2%	93.6%	0.1%	0%	0%	0%	8
7.8%	7.8%	92.1%	0.1%	0%	0%	0%	9
11.8%	11.7%	87.8%	0.1%	0.4%	0%	0%	10
22.1%	18.7%	65.9%	0.1%	15.2%	0%	0%	11
26%	21.5%	61%	0.1%	17.4%	0%	0%	12

Compiler

Compiled 12 to 8 computations (33.3% saved)

sample2.5s (20.3%)

Results

1.4s	10921×	body	256	infinite
1.0s	8256×	body	256	valid

Bogosity

preprocess115.0ms (1%)

Algorithm

2×	egg-herbie

Rules

914×	`fma-neg_binary64`
433×	`div-sub_binary64`
340×	`associate-/l*_binary64`
336×	`fma-def_binary64`
316×	`associate-/r/_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	19	48
1	55	48
2	144	48
3	388	48
4	894	48
5	1632	48
6	3130	48
7	4641	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 (cosh.f64 x) z))
(.f64 (/.f64 (cosh.f64 x) (.f64 x z)) y)
(.f64 y (/.f64 (cosh.f64 x) (.f64 x z)))
(/.f64 (cosh.f64 x) (/.f64 x (/.f64 y z)))
(*.f64 (/.f64 y z) (/.f64 (cosh.f64 x) x))
(/.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 x y) (/.f64 (cosh.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 (/.f64 (cosh.f64 z) x) (/.f64 y z))
(*.f64 (/.f64 y x) (/.f64 (cosh.f64 z) 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 (/.f64 (cosh.f64 x) y) (/.f64 z x))
(*.f64 (/.f64 z x) (/.f64 (cosh.f64 x) y))
(/.f64 (/.f64 z (/.f64 x (cosh.f64 x))) y)
(*.f64 z (/.f64 (/.f64 (cosh.f64 x) y) x))

Compiler

Compiled 14 to 10 computations (28.6% saved)

simplify83.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

1052×	`fma-def_binary64`
419×	`distribute-rgt-in_binary64`
358×	`distribute-lft-in_binary64`
313×	`div-sub_binary64`
290×	`unswap-sqr_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	12
1	19	12
2	46	12
3	112	12
4	249	12
5	453	12
6	813	12
7	2345	12
8	3533	12
9	4756	12
10	5629	12
11	6266	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 (cosh.f64 x) (/.f64 y (.f64 x z)))
(/.f64 (*.f64 (cosh.f64 x) (/.f64 y z)) x)
(*.f64 y (/.f64 (/.f64 (cosh.f64 x) z) x))

eval1.0ms (0%)

Compiler: Compiled 19 to 10 computations (47.4% saved)

prune1.0ms (0%)

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

Click to see full alt table

Status	Error	Program
▶	5.6b	(*.f64 y (/.f64 (/.f64 (cosh.f64 x) z) x))
▶	7.2b	(/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z)

Compiler

Compiled 22 to 14 computations (36.4% saved)

localize9.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(cosh.f64 x)
✓	0.0b	(/.f64 (cosh.f64 x) z)
✓	0.2b	(/.f64 (/.f64 (cosh.f64 x) z) x)
✓	5.2b	(*.f64 y (/.f64 (/.f64 (cosh.f64 x) z) x))

Compiler

Compiled 26 to 7 computations (73.1% saved)

series25.0ms (0.2%)

Counts

4 → 96

Calls

24 calls:

Time	Variable		Point	Expression
4.0ms	x	@	0	(/.f64 (cosh.f64 x) z)
3.0ms	z	@	0	(*.f64 y (/.f64 (/.f64 (cosh.f64 x) z) x))
2.0ms	x	@	-inf	(*.f64 y (/.f64 (/.f64 (cosh.f64 x) z) x))
2.0ms	y	@	0	(*.f64 y (/.f64 (/.f64 (cosh.f64 x) z) x))
2.0ms	x	@	inf	(*.f64 y (/.f64 (/.f64 (cosh.f64 x) z) x))

rewrite89.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

520×	`log-prod_binary64`
405×	`prod-exp_binary64`
395×	`exp-prod_binary64`
345×	`pow-prod-down_binary64`
249×	`pow2_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	30
1	176	30
2	2574	30

Stop Event

1×	node limit

Counts

4 → 192

Calls

Call 1

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

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

simplify154.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

618×	`fma-def_binary64`
596×	`times-frac_binary64`
563×	`associate-l_binary64`
531×	`associate-r_binary64`
505×	`associate-/l*_binary64`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	77	1824
1	209	1818
2	541	1730
3	1511	1722
4	5731	1718

Stop Event

1×	node limit

Counts

288 → 230

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 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 (*.f64 z x))
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(.f64 1/2 (/.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (.f64 z x)))
(.f64 1/2 (/.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (.f64 z x)))
(.f64 1/2 (/.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (.f64 z x)))
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(.f64 1/2 (/.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (.f64 z x)))
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(.f64 1/2 (/.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (.f64 z x)))
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(.f64 1/2 (/.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (.f64 z x)))
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(/.f64 1 z)
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(*.f64 1/2 (/.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) z))
1
(+.f64 1 (*.f64 1/2 (pow.f64 x 2)))
(+.f64 1 (+.f64 (.f64 1/2 (pow.f64 x 2)) (.f64 1/24 (pow.f64 x 4))))
(+.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 1/2 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))
(*.f64 1/2 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))
(*.f64 1/2 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))
(*.f64 1/2 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))
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(*.f64 1/2 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))
(*.f64 1/2 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))

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

localize9.0ms (0.1%)

Local error

Found 3 expressions with local error:

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

Compiler

Compiled 25 to 7 computations (72% saved)

series6.0ms (0%)

Counts

2 → 60

Calls

15 calls:

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

rewrite99.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

533×	`log-prod_binary64`
409×	`exp-prod_binary64`
330×	`pow-prod-down_binary64`
249×	`pow2_binary64`
181×	`pow-unpow_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	21
1	176	21
2	2611	21

Stop Event

1×	node limit

Counts

2 → 105

Calls

Call 1

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

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

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

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

simplify133.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

686×	`unswap-sqr_binary64`
575×	`associate-/l*_binary64`
529×	`fma-def_binary64`
407×	`associate-/r*_binary64`
380×	`associate-/r/_binary64`

Iterations

Useful iterations: 5 (0.0ms)

Iter	Nodes	Cost
0	47	1260
1	131	1256
2	354	1251
3	1010	1182
4	2665	1178
5	5064	1171
6	5422	1171
7	6421	1171

Stop Event

1×	node limit

Counts

165 → 123

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

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

eval93.0ms (0.8%)

Compiler: Compiled 5457 to 2152 computations (60.6% saved)

prune77.0ms (0.6%)

Pruning

16 alts after pruning (16 fresh and 0 done)

	Pruned	Kept	Total
New	381	16	397
Fresh	0	0	0
Picked	1	0	1
Done	1	0	1
Total	383	16	399

Error

0.0b

Counts

399 → 16

Alt Table

Click to see full alt table

Status	Error	Program
	37.3b	(/.f64 (pow.f64 (sqrt.f64 (*.f64 (cosh.f64 x) (/.f64 y x))) 2) z)
▶	7.9b	(/.f64 (*.f64 y (/.f64 (cosh.f64 x) z)) x)
	8.6b	(pow.f64 (cbrt.f64 (/.f64 (*.f64 y (/.f64 (cosh.f64 x) z)) x)) 3)
	9.2b	(/.f64 (/.f64 y x) z)
▶	7.5b	(/.f64 y (*.f64 z x))
	7.6b	(*.f64 y (/.f64 (/.f64 1 z) x))
▶	5.7b	(.f64 y (.f64 (/.f64 (cosh.f64 x) z) (/.f64 1 x)))
	7.3b	(*.f64 (/.f64 (cosh.f64 x) z) (/.f64 y x))
	7.6b	(.f64 y (/.f64 1 (.f64 z x)))
	7.3b	(.f64 (/.f64 y x) (.f64 (cosh.f64 x) (/.f64 1 z)))
	7.3b	(*.f64 (/.f64 (cosh.f64 x) 1) (/.f64 (/.f64 y x) z))
▶	8.3b	(+.f64 (/.f64 (/.f64 y x) z) (.f64 (/.f64 y z) (.f64 x (fma.f64 1/24 (*.f64 x x) 1/2))))
	8.6b	(/.f64 (+.f64 (/.f64 y x) (.f64 1/2 (.f64 y x))) z)
	7.4b	(/.f64 (/.f64 (cosh.f64 x) (/.f64 x y)) z)
	6.9b	(.f64 y (+.f64 (/.f64 1 (.f64 z x)) (*.f64 1/2 (/.f64 x z))))
▶	9.2b	(.f64 (/.f64 y z) (+.f64 (.f64 x 1/2) (/.f64 1 x)))

Compiler

Compiled 402 to 270 computations (32.8% saved)

localize13.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.0b	(cosh.f64 x)
	0.0b	(/.f64 (cosh.f64 x) z)
✓	0.4b	(*.f64 (/.f64 (cosh.f64 x) z) (/.f64 1 x))
✓	5.2b	(.f64 y (.f64 (/.f64 (cosh.f64 x) z) (/.f64 1 x)))

Compiler

Compiled 34 to 15 computations (55.9% saved)

series5.0ms (0%)

Counts

2 → 60

Calls

15 calls:

Time	Variable		Point	Expression
1.0ms	x	@	0	(.f64 y (.f64 (/.f64 (cosh.f64 x) z) (/.f64 1 x)))
0.0ms	y	@	0	(.f64 y (.f64 (/.f64 (cosh.f64 x) z) (/.f64 1 x)))
0.0ms	z	@	inf	(*.f64 (/.f64 (cosh.f64 x) z) (/.f64 1 x))
0.0ms	x	@	inf	(.f64 y (.f64 (/.f64 (cosh.f64 x) z) (/.f64 1 x)))
0.0ms	y	@	inf	(.f64 y (.f64 (/.f64 (cosh.f64 x) z) (/.f64 1 x)))

rewrite76.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

581×	`log-prod_binary64`
419×	`pow-prod-down_binary64`
278×	`pow2_binary64`
247×	`pow-unpow_binary64`
199×	`pow1/3_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	21
1	215	21
2	2996	21

Stop Event

1×	node limit

Counts

2 → 91

Calls

Call 1

Inputs
(.f64 y (.f64 (/.f64 (cosh.f64 x) z) (/.f64 1 x)))
(*.f64 (/.f64 (cosh.f64 x) z) (/.f64 1 x))

Outputs

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

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

simplify172.0ms (1.4%)

Algorithm

1×	egg-herbie

Rules

1004×	`fma-def_binary64`
686×	`unswap-sqr_binary64`
607×	`associate-/l*_binary64`
364×	`associate-/r/_binary64`
354×	`associate-/r*_binary64`

Iterations

Useful iterations: 5 (0.0ms)

Iter	Nodes	Cost
0	48	1272
1	134	1268
2	363	1210
3	896	1204
4	2244	1194
5	5136	1189
6	5485	1189
7	6479	1189

Stop Event

1×	node limit

Counts

151 → 111

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

localize6.0ms (0%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	5.2b	(/.f64 y (*.f64 z x))

Compiler

Compiled 14 to 5 computations (64.3% saved)

series5.0ms (0%)

Counts

1 → 0

Calls

9 calls:

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

rewrite55.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

711×	`pow1_binary64`
658×	`add-log-exp_binary64`
658×	`log1p-expm1-u_binary64`
658×	`expm1-log1p-u_binary64`
643×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	7
1	125	7
2	1729	7

Stop Event

1×	node limit

Counts

1 → 38

Calls

Call 1

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

Outputs

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

simplify8.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	0	0

Stop Event

1×

saturated

Counts

38 → 38

Calls

Call 1

Inputs

Outputs

localize29.0ms (0.2%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 (*.f64 x 1/2) (/.f64 1 x))
✓	7.8b	(.f64 (/.f64 y z) (+.f64 (.f64 x 1/2) (/.f64 1 x)))

Compiler

Compiled 35 to 21 computations (40% saved)

series13.0ms (0.1%)

Counts

2 → 48

Calls

12 calls:

Time	Variable		Point	Expression
6.0ms	y	@	0	(.f64 (/.f64 y z) (+.f64 (.f64 x 1/2) (/.f64 1 x)))
1.0ms	z	@	0	(.f64 (/.f64 y z) (+.f64 (.f64 x 1/2) (/.f64 1 x)))
1.0ms	y	@	inf	(.f64 (/.f64 y z) (+.f64 (.f64 x 1/2) (/.f64 1 x)))
1.0ms	x	@	0	(.f64 (/.f64 y z) (+.f64 (.f64 x 1/2) (/.f64 1 x)))
1.0ms	x	@	-inf	(.f64 (/.f64 y z) (+.f64 (.f64 x 1/2) (/.f64 1 x)))

rewrite93.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

610×	`log-prod_binary64`
491×	`pow-prod-down_binary64`
315×	`pow2_binary64`
305×	`fma-def_binary64`
221×	`pow1/3_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	22
1	243	22
2	3512	22

Stop Event

1×	node limit

Counts

2 → 141

Calls

Call 1

Inputs
(.f64 (/.f64 y z) (+.f64 (.f64 x 1/2) (/.f64 1 x)))
(+.f64 (*.f64 x 1/2) (/.f64 1 x))

Outputs

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

simplify59.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

234×	`times-frac_binary64`
206×	`associate-/l*_binary64`
116×	`associate-/l/_binary64`
114×	`fma-def_binary64`
80×	`associate-/r*_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	573
1	35	573
2	64	573
3	102	573
4	151	573
5	288	573
6	376	573
7	606	573
8	1007	573
9	1196	573
10	1220	573

Stop Event

1×

saturated

Counts

189 → 151

Calls

Call 1

Inputs
(/.f64 (.f64 (+.f64 (.f64 1/2 x) (/.f64 1 x)) y) z)
(/.f64 (.f64 (+.f64 (.f64 1/2 x) (/.f64 1 x)) y) z)
(/.f64 (.f64 (+.f64 (.f64 1/2 x) (/.f64 1 x)) y) z)
(/.f64 (.f64 (+.f64 (.f64 1/2 x) (/.f64 1 x)) y) z)
(/.f64 (.f64 (+.f64 (.f64 1/2 x) (/.f64 1 x)) y) z)
(/.f64 (.f64 (+.f64 (.f64 1/2 x) (/.f64 1 x)) y) z)
(/.f64 (.f64 (+.f64 (.f64 1/2 x) (/.f64 1 x)) y) z)
(/.f64 (.f64 (+.f64 (.f64 1/2 x) (/.f64 1 x)) y) z)
(/.f64 (.f64 (+.f64 (.f64 1/2 x) (/.f64 1 x)) y) z)
(/.f64 (.f64 (+.f64 (.f64 1/2 x) (/.f64 1 x)) y) z)
(/.f64 (.f64 (+.f64 (.f64 1/2 x) (/.f64 1 x)) y) z)
(/.f64 (.f64 (+.f64 (.f64 1/2 x) (/.f64 1 x)) y) z)
(/.f64 (.f64 (+.f64 (.f64 1/2 x) (/.f64 1 x)) y) z)
(/.f64 (.f64 (+.f64 (.f64 1/2 x) (/.f64 1 x)) y) z)
(/.f64 (.f64 (+.f64 (.f64 1/2 x) (/.f64 1 x)) y) z)
(/.f64 (.f64 (+.f64 (.f64 1/2 x) (/.f64 1 x)) y) z)
(/.f64 (.f64 (+.f64 (.f64 1/2 x) (/.f64 1 x)) y) z)
(/.f64 (.f64 (+.f64 (.f64 1/2 x) (/.f64 1 x)) y) z)
(/.f64 (.f64 (+.f64 (.f64 1/2 x) (/.f64 1 x)) y) z)
(/.f64 (.f64 (+.f64 (.f64 1/2 x) (/.f64 1 x)) y) z)
(/.f64 (.f64 (+.f64 (.f64 1/2 x) (/.f64 1 x)) y) z)
(/.f64 (.f64 (+.f64 (.f64 1/2 x) (/.f64 1 x)) y) z)
(/.f64 (.f64 (+.f64 (.f64 1/2 x) (/.f64 1 x)) y) z)
(/.f64 (.f64 (+.f64 (.f64 1/2 x) (/.f64 1 x)) y) z)
(/.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 1/2 (/.f64 (*.f64 y x) z)))
(+.f64 (/.f64 y (.f64 z x)) (.f64 1/2 (/.f64 (*.f64 y x) z)))
(.f64 1/2 (/.f64 (.f64 y x) z))
(+.f64 (/.f64 y (.f64 z x)) (.f64 1/2 (/.f64 (*.f64 y x) z)))
(+.f64 (/.f64 y (.f64 z x)) (.f64 1/2 (/.f64 (*.f64 y x) z)))
(+.f64 (/.f64 y (.f64 z x)) (.f64 1/2 (/.f64 (*.f64 y x) z)))
(.f64 1/2 (/.f64 (.f64 y x) z))
(+.f64 (/.f64 y (.f64 z x)) (.f64 1/2 (/.f64 (*.f64 y x) z)))
(+.f64 (/.f64 y (.f64 z x)) (.f64 1/2 (/.f64 (*.f64 y x) z)))
(+.f64 (/.f64 y (.f64 z x)) (.f64 1/2 (/.f64 (*.f64 y x) z)))
(/.f64 1 x)
(+.f64 (*.f64 1/2 x) (/.f64 1 x))
(+.f64 (*.f64 1/2 x) (/.f64 1 x))
(+.f64 (*.f64 1/2 x) (/.f64 1 x))
(*.f64 1/2 x)
(+.f64 (*.f64 1/2 x) (/.f64 1 x))
(+.f64 (*.f64 1/2 x) (/.f64 1 x))
(+.f64 (*.f64 1/2 x) (/.f64 1 x))
(*.f64 1/2 x)
(+.f64 (*.f64 1/2 x) (/.f64 1 x))
(+.f64 (*.f64 1/2 x) (/.f64 1 x))
(+.f64 (*.f64 1/2 x) (/.f64 1 x))

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

localize185.0ms (1.5%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.0b	(cosh.f64 x)
	0.0b	(/.f64 (cosh.f64 x) z)
✓	0.2b	(*.f64 y (/.f64 (cosh.f64 x) z))
✓	7.8b	(/.f64 (*.f64 y (/.f64 (cosh.f64 x) z)) x)

Compiler

Compiled 26 to 7 computations (73.1% saved)

series8.0ms (0.1%)

Counts

2 → 72

Calls

18 calls:

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

rewrite134.0ms (1.1%)

Algorithm

1×	batch-egg-rewrite

Rules

534×	`log-prod_binary64`
410×	`exp-prod_binary64`
326×	`pow-prod-down_binary64`
249×	`pow2_binary64`
180×	`pow-unpow_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	21
1	176	21
2	2599	21

Stop Event

1×	node limit

Counts

2 → 97

Calls

Call 1

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

Outputs

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

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

simplify209.0ms (1.7%)

Algorithm

1×	egg-herbie

Rules

907×	`fma-def_binary64`
536×	`associate-*r/_binary64`
470×	`associate-/l*_binary64`
450×	`*-commutative_binary64`
361×	`times-frac_binary64`

Iterations

Useful iterations: 5 (0.0ms)

Iter	Nodes	Cost
0	56	1509
1	155	1507
2	405	1505
3	1262	1431
4	3635	1410
5	6435	1401
6	7545	1401

Stop Event

1×	node limit

Counts

169 → 116

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

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

localize38.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 (/.f64 (/.f64 y x) z) (.f64 (/.f64 y z) (.f64 x (fma.f64 1/24 (*.f64 x x) 1/2))))
✓	0.0b	(.f64 x (fma.f64 1/24 (.f64 x x) 1/2))
✓	0.2b	(.f64 (/.f64 y z) (.f64 x (fma.f64 1/24 (*.f64 x x) 1/2)))
✓	6.8b	(/.f64 (/.f64 y x) z)

Compiler

Compiled 66 to 27 computations (59.1% saved)

series37.0ms (0.3%)

Counts

4 → 120

Calls

30 calls:

Time	Variable		Point	Expression
2.0ms	y	@	0	(.f64 (/.f64 y z) (.f64 x (fma.f64 1/24 (*.f64 x x) 1/2)))
1.0ms	x	@	inf	(.f64 (/.f64 y z) (.f64 x (fma.f64 1/24 (*.f64 x x) 1/2)))
1.0ms	z	@	0	(.f64 (/.f64 y z) (.f64 x (fma.f64 1/24 (*.f64 x x) 1/2)))
1.0ms	x	@	0	(.f64 (/.f64 y z) (.f64 x (fma.f64 1/24 (*.f64 x x) 1/2)))
1.0ms	z	@	inf	(.f64 (/.f64 y z) (.f64 x (fma.f64 1/24 (*.f64 x x) 1/2)))

rewrite117.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

844×	`log-prod_binary64`
470×	`fma-def_binary64`
281×	`expm1-udef_binary64`
281×	`log1p-udef_binary64`
244×	`log-div_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	14	61
1	312	59
2	4539	59

Stop Event

1×	node limit

Counts

4 → 188

Calls

Call 1

Inputs
(/.f64 (/.f64 y x) z)
(.f64 (/.f64 y z) (.f64 x (fma.f64 1/24 (*.f64 x x) 1/2)))
(.f64 x (fma.f64 1/24 (.f64 x x) 1/2))
(+.f64 (/.f64 (/.f64 y x) z) (.f64 (/.f64 y z) (.f64 x (fma.f64 1/24 (*.f64 x x) 1/2))))

Outputs
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simplify166.0ms (1.4%)

Algorithm

1×	egg-herbie

Rules

502×	`distribute-rgt-neg-in_binary64`
473×	`associate-l_binary64`
427×	`distribute-rgt-in_binary64`
426×	`distribute-lft-neg-in_binary64`
397×	`distribute-lft-in_binary64`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	47	1962
1	126	1830
2	347	1770
3	1077	1680
4	4527	1679

Stop Event

1×	node limit

Counts

308 → 209

Calls

Call 1

Inputs
(/.f64 y (*.f64 z x))
(/.f64 y (*.f64 z x))
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(.f64 y (+.f64 (/.f64 1 (.f64 z x)) (.f64 (/.f64 (fma.f64 1/24 (.f64 x x) 1/2) z) x)))
(.f64 y (fma.f64 (/.f64 (fma.f64 x (.f64 x 1/24) 1/2) z) x (/.f64 1 (*.f64 z x))))
(/.f64 (fma.f64 (fma.f64 x (.f64 x 1/24) 1/2) (.f64 y x) (/.f64 y x)) z)
(/.f64 (fma.f64 y (.f64 x (fma.f64 x (.f64 x 1/24) 1/2)) (/.f64 y x)) z)
(.f64 -1 (.f64 (-.f64 (.f64 -1 (/.f64 (.f64 (+.f64 1/2 (.f64 1/24 (pow.f64 x 2))) x) z)) (/.f64 1 (.f64 z x))) y))
(.f64 y (+.f64 (/.f64 1 (.f64 z x)) (/.f64 (+.f64 1/2 (.f64 1/24 (.f64 x x))) (/.f64 z x))))
(.f64 y (+.f64 (/.f64 1 (.f64 z x)) (.f64 (/.f64 (fma.f64 1/24 (.f64 x x) 1/2) z) x)))
(.f64 y (fma.f64 (/.f64 (fma.f64 x (.f64 x 1/24) 1/2) z) x (/.f64 1 (*.f64 z x))))
(/.f64 (fma.f64 (fma.f64 x (.f64 x 1/24) 1/2) (.f64 y x) (/.f64 y x)) z)
(/.f64 (fma.f64 y (.f64 x (fma.f64 x (.f64 x 1/24) 1/2)) (/.f64 y x)) z)
(.f64 -1 (.f64 (-.f64 (.f64 -1 (/.f64 (.f64 (+.f64 1/2 (.f64 1/24 (pow.f64 x 2))) x) z)) (/.f64 1 (.f64 z x))) y))
(.f64 y (+.f64 (/.f64 1 (.f64 z x)) (/.f64 (+.f64 1/2 (.f64 1/24 (.f64 x x))) (/.f64 z x))))
(.f64 y (+.f64 (/.f64 1 (.f64 z x)) (.f64 (/.f64 (fma.f64 1/24 (.f64 x x) 1/2) z) x)))
(.f64 y (fma.f64 (/.f64 (fma.f64 x (.f64 x 1/24) 1/2) z) x (/.f64 1 (*.f64 z x))))
(/.f64 (fma.f64 (fma.f64 x (.f64 x 1/24) 1/2) (.f64 y x) (/.f64 y x)) z)
(/.f64 (fma.f64 y (.f64 x (fma.f64 x (.f64 x 1/24) 1/2)) (/.f64 y x)) z)
(.f64 -1 (.f64 (-.f64 (.f64 -1 (/.f64 (.f64 (+.f64 1/2 (.f64 1/24 (pow.f64 x 2))) x) z)) (/.f64 1 (.f64 z x))) y))
(.f64 y (+.f64 (/.f64 1 (.f64 z x)) (/.f64 (+.f64 1/2 (.f64 1/24 (.f64 x x))) (/.f64 z x))))
(.f64 y (+.f64 (/.f64 1 (.f64 z x)) (.f64 (/.f64 (fma.f64 1/24 (.f64 x x) 1/2) z) x)))
(.f64 y (fma.f64 (/.f64 (fma.f64 x (.f64 x 1/24) 1/2) z) x (/.f64 1 (*.f64 z x))))
(/.f64 (fma.f64 (fma.f64 x (.f64 x 1/24) 1/2) (.f64 y x) (/.f64 y x)) z)
(/.f64 (fma.f64 y (.f64 x (fma.f64 x (.f64 x 1/24) 1/2)) (/.f64 y x)) z)
(/.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 1/2 (/.f64 y (/.f64 z x))))
(fma.f64 1/2 (.f64 (/.f64 y z) x) (/.f64 y (.f64 z x)))
(fma.f64 1/2 (.f64 (/.f64 x z) y) (/.f64 y (.f64 z x)))
(fma.f64 1/2 (.f64 y (/.f64 x 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 y (+.f64 (/.f64 1 (.f64 z x)) (/.f64 (+.f64 1/2 (.f64 1/24 (.f64 x x))) (/.f64 z x))))
(.f64 y (+.f64 (/.f64 1 (.f64 z x)) (.f64 (/.f64 (fma.f64 1/24 (.f64 x x) 1/2) z) x)))
(.f64 y (fma.f64 (/.f64 (fma.f64 x (.f64 x 1/24) 1/2) z) x (/.f64 1 (*.f64 z x))))
(/.f64 (fma.f64 (fma.f64 x (.f64 x 1/24) 1/2) (.f64 y x) (/.f64 y x)) z)
(/.f64 (fma.f64 y (.f64 x (fma.f64 x (.f64 x 1/24) 1/2)) (/.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 y (+.f64 (/.f64 1 (.f64 z x)) (/.f64 (+.f64 1/2 (.f64 1/24 (.f64 x x))) (/.f64 z x))))
(.f64 y (+.f64 (/.f64 1 (.f64 z x)) (.f64 (/.f64 (fma.f64 1/24 (.f64 x x) 1/2) z) x)))
(.f64 y (fma.f64 (/.f64 (fma.f64 x (.f64 x 1/24) 1/2) z) x (/.f64 1 (*.f64 z x))))
(/.f64 (fma.f64 (fma.f64 x (.f64 x 1/24) 1/2) (.f64 y x) (/.f64 y x)) z)
(/.f64 (fma.f64 y (.f64 x (fma.f64 x (.f64 x 1/24) 1/2)) (/.f64 y x)) z)
(.f64 1/24 (/.f64 (.f64 y (pow.f64 x 3)) z))
(*.f64 1/24 (/.f64 y (/.f64 z (pow.f64 x 3))))
(.f64 1/24 (.f64 (/.f64 y z) (pow.f64 x 3)))
(.f64 1/24 (.f64 (pow.f64 x 3) (/.f64 y z)))
(.f64 1/24 (.f64 y (/.f64 (pow.f64 x 3) z)))
(+.f64 (.f64 1/2 (/.f64 (.f64 y x) z)) (.f64 1/24 (/.f64 (.f64 y (pow.f64 x 3)) z)))
(/.f64 (+.f64 1/2 (.f64 1/24 (.f64 x x))) (/.f64 z (*.f64 y x)))
(.f64 (/.f64 (fma.f64 1/24 (.f64 x x) 1/2) z) (*.f64 y x))
(.f64 y (.f64 x (/.f64 (fma.f64 x (*.f64 x 1/24) 1/2) z)))
(/.f64 (fma.f64 x (*.f64 x 1/24) 1/2) (/.f64 (/.f64 z x) y))
(.f64 (/.f64 y z) (.f64 x (fma.f64 x (*.f64 x 1/24) 1/2)))
(+.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 y (+.f64 (/.f64 1 (.f64 z x)) (/.f64 (+.f64 1/2 (.f64 1/24 (.f64 x x))) (/.f64 z x))))
(.f64 y (+.f64 (/.f64 1 (.f64 z x)) (.f64 (/.f64 (fma.f64 1/24 (.f64 x x) 1/2) z) x)))
(.f64 y (fma.f64 (/.f64 (fma.f64 x (.f64 x 1/24) 1/2) z) x (/.f64 1 (*.f64 z x))))
(/.f64 (fma.f64 (fma.f64 x (.f64 x 1/24) 1/2) (.f64 y x) (/.f64 y x)) z)
(/.f64 (fma.f64 y (.f64 x (fma.f64 x (.f64 x 1/24) 1/2)) (/.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 y (+.f64 (/.f64 1 (.f64 z x)) (/.f64 (+.f64 1/2 (.f64 1/24 (.f64 x x))) (/.f64 z x))))
(.f64 y (+.f64 (/.f64 1 (.f64 z x)) (.f64 (/.f64 (fma.f64 1/24 (.f64 x x) 1/2) z) x)))
(.f64 y (fma.f64 (/.f64 (fma.f64 x (.f64 x 1/24) 1/2) z) x (/.f64 1 (*.f64 z x))))
(/.f64 (fma.f64 (fma.f64 x (.f64 x 1/24) 1/2) (.f64 y x) (/.f64 y x)) z)
(/.f64 (fma.f64 y (.f64 x (fma.f64 x (.f64 x 1/24) 1/2)) (/.f64 y x)) z)
(.f64 1/24 (/.f64 (.f64 y (pow.f64 x 3)) z))
(*.f64 1/24 (/.f64 y (/.f64 z (pow.f64 x 3))))
(.f64 1/24 (.f64 (/.f64 y z) (pow.f64 x 3)))
(.f64 1/24 (.f64 (pow.f64 x 3) (/.f64 y z)))
(.f64 1/24 (.f64 y (/.f64 (pow.f64 x 3) z)))
(+.f64 (.f64 1/2 (/.f64 (.f64 y x) z)) (.f64 1/24 (/.f64 (.f64 y (pow.f64 x 3)) z)))
(/.f64 (+.f64 1/2 (.f64 1/24 (.f64 x x))) (/.f64 z (*.f64 y x)))
(.f64 (/.f64 (fma.f64 1/24 (.f64 x x) 1/2) z) (*.f64 y x))
(.f64 y (.f64 x (/.f64 (fma.f64 x (*.f64 x 1/24) 1/2) z)))
(/.f64 (fma.f64 x (*.f64 x 1/24) 1/2) (/.f64 (/.f64 z x) y))
(.f64 (/.f64 y z) (.f64 x (fma.f64 x (*.f64 x 1/24) 1/2)))
(+.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 y (+.f64 (/.f64 1 (.f64 z x)) (/.f64 (+.f64 1/2 (.f64 1/24 (.f64 x x))) (/.f64 z x))))
(.f64 y (+.f64 (/.f64 1 (.f64 z x)) (.f64 (/.f64 (fma.f64 1/24 (.f64 x x) 1/2) z) x)))
(.f64 y (fma.f64 (/.f64 (fma.f64 x (.f64 x 1/24) 1/2) z) x (/.f64 1 (*.f64 z x))))
(/.f64 (fma.f64 (fma.f64 x (.f64 x 1/24) 1/2) (.f64 y x) (/.f64 y x)) z)
(/.f64 (fma.f64 y (.f64 x (fma.f64 x (.f64 x 1/24) 1/2)) (/.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 y (+.f64 (/.f64 1 (.f64 z x)) (/.f64 (+.f64 1/2 (.f64 1/24 (.f64 x x))) (/.f64 z x))))
(.f64 y (+.f64 (/.f64 1 (.f64 z x)) (.f64 (/.f64 (fma.f64 1/24 (.f64 x x) 1/2) z) x)))
(.f64 y (fma.f64 (/.f64 (fma.f64 x (.f64 x 1/24) 1/2) z) x (/.f64 1 (*.f64 z x))))
(/.f64 (fma.f64 (fma.f64 x (.f64 x 1/24) 1/2) (.f64 y x) (/.f64 y x)) z)
(/.f64 (fma.f64 y (.f64 x (fma.f64 x (.f64 x 1/24) 1/2)) (/.f64 y x)) z)
(/.f64 (+.f64 (/.f64 y x) (.f64 (+.f64 1/2 (.f64 1/24 (pow.f64 x 2))) (*.f64 y x))) z)
(.f64 y (+.f64 (/.f64 1 (.f64 z x)) (/.f64 (+.f64 1/2 (.f64 1/24 (.f64 x x))) (/.f64 z x))))
(.f64 y (+.f64 (/.f64 1 (.f64 z x)) (.f64 (/.f64 (fma.f64 1/24 (.f64 x x) 1/2) z) x)))
(.f64 y (fma.f64 (/.f64 (fma.f64 x (.f64 x 1/24) 1/2) z) x (/.f64 1 (*.f64 z x))))
(/.f64 (fma.f64 (fma.f64 x (.f64 x 1/24) 1/2) (.f64 y x) (/.f64 y x)) z)
(/.f64 (fma.f64 y (.f64 x (fma.f64 x (.f64 x 1/24) 1/2)) (/.f64 y x)) z)
(/.f64 (+.f64 (/.f64 y x) (.f64 (+.f64 1/2 (.f64 1/24 (pow.f64 x 2))) (*.f64 y x))) z)
(.f64 y (+.f64 (/.f64 1 (.f64 z x)) (/.f64 (+.f64 1/2 (.f64 1/24 (.f64 x x))) (/.f64 z x))))
(.f64 y (+.f64 (/.f64 1 (.f64 z x)) (.f64 (/.f64 (fma.f64 1/24 (.f64 x x) 1/2) z) x)))
(.f64 y (fma.f64 (/.f64 (fma.f64 x (.f64 x 1/24) 1/2) z) x (/.f64 1 (*.f64 z x))))
(/.f64 (fma.f64 (fma.f64 x (.f64 x 1/24) 1/2) (.f64 y x) (/.f64 y x)) z)
(/.f64 (fma.f64 y (.f64 x (fma.f64 x (.f64 x 1/24) 1/2)) (/.f64 y x)) z)
(/.f64 (+.f64 (/.f64 y x) (.f64 (+.f64 1/2 (.f64 1/24 (pow.f64 x 2))) (*.f64 y x))) z)
(.f64 y (+.f64 (/.f64 1 (.f64 z x)) (/.f64 (+.f64 1/2 (.f64 1/24 (.f64 x x))) (/.f64 z x))))
(.f64 y (+.f64 (/.f64 1 (.f64 z x)) (.f64 (/.f64 (fma.f64 1/24 (.f64 x x) 1/2) z) x)))
(.f64 y (fma.f64 (/.f64 (fma.f64 x (.f64 x 1/24) 1/2) z) x (/.f64 1 (*.f64 z x))))
(/.f64 (fma.f64 (fma.f64 x (.f64 x 1/24) 1/2) (.f64 y x) (/.f64 y x)) z)
(/.f64 (fma.f64 y (.f64 x (fma.f64 x (.f64 x 1/24) 1/2)) (/.f64 y x)) z)
(/.f64 (+.f64 (/.f64 y x) (.f64 (+.f64 1/2 (.f64 1/24 (pow.f64 x 2))) (*.f64 y x))) z)
(.f64 y (+.f64 (/.f64 1 (.f64 z x)) (/.f64 (+.f64 1/2 (.f64 1/24 (.f64 x x))) (/.f64 z x))))
(.f64 y (+.f64 (/.f64 1 (.f64 z x)) (.f64 (/.f64 (fma.f64 1/24 (.f64 x x) 1/2) z) x)))
(.f64 y (fma.f64 (/.f64 (fma.f64 x (.f64 x 1/24) 1/2) z) x (/.f64 1 (*.f64 z x))))
(/.f64 (fma.f64 (fma.f64 x (.f64 x 1/24) 1/2) (.f64 y x) (/.f64 y x)) z)
(/.f64 (fma.f64 y (.f64 x (fma.f64 x (.f64 x 1/24) 1/2)) (/.f64 y x)) z)
(/.f64 (+.f64 (/.f64 y x) (.f64 (+.f64 1/2 (.f64 1/24 (pow.f64 x 2))) (*.f64 y x))) z)
(.f64 y (+.f64 (/.f64 1 (.f64 z x)) (/.f64 (+.f64 1/2 (.f64 1/24 (.f64 x x))) (/.f64 z x))))
(.f64 y (+.f64 (/.f64 1 (.f64 z x)) (.f64 (/.f64 (fma.f64 1/24 (.f64 x x) 1/2) z) x)))
(.f64 y (fma.f64 (/.f64 (fma.f64 x (.f64 x 1/24) 1/2) z) x (/.f64 1 (*.f64 z x))))
(/.f64 (fma.f64 (fma.f64 x (.f64 x 1/24) 1/2) (.f64 y x) (/.f64 y x)) z)
(/.f64 (fma.f64 y (.f64 x (fma.f64 x (.f64 x 1/24) 1/2)) (/.f64 y x)) z)
(/.f64 (+.f64 (/.f64 y x) (.f64 (+.f64 1/2 (.f64 1/24 (pow.f64 x 2))) (*.f64 y x))) z)
(.f64 y (+.f64 (/.f64 1 (.f64 z x)) (/.f64 (+.f64 1/2 (.f64 1/24 (.f64 x x))) (/.f64 z x))))
(.f64 y (+.f64 (/.f64 1 (.f64 z x)) (.f64 (/.f64 (fma.f64 1/24 (.f64 x x) 1/2) z) x)))
(.f64 y (fma.f64 (/.f64 (fma.f64 x (.f64 x 1/24) 1/2) z) x (/.f64 1 (*.f64 z x))))
(/.f64 (fma.f64 (fma.f64 x (.f64 x 1/24) 1/2) (.f64 y x) (/.f64 y x)) z)
(/.f64 (fma.f64 y (.f64 x (fma.f64 x (.f64 x 1/24) 1/2)) (/.f64 y x)) z)
(/.f64 (+.f64 (/.f64 y x) (.f64 (+.f64 1/2 (.f64 1/24 (pow.f64 x 2))) (*.f64 y x))) z)
(.f64 y (+.f64 (/.f64 1 (.f64 z x)) (/.f64 (+.f64 1/2 (.f64 1/24 (.f64 x x))) (/.f64 z x))))
(.f64 y (+.f64 (/.f64 1 (.f64 z x)) (.f64 (/.f64 (fma.f64 1/24 (.f64 x x) 1/2) z) x)))
(.f64 y (fma.f64 (/.f64 (fma.f64 x (.f64 x 1/24) 1/2) z) x (/.f64 1 (*.f64 z x))))
(/.f64 (fma.f64 (fma.f64 x (.f64 x 1/24) 1/2) (.f64 y x) (/.f64 y x)) z)
(/.f64 (fma.f64 y (.f64 x (fma.f64 x (.f64 x 1/24) 1/2)) (/.f64 y x)) z)
(/.f64 (+.f64 (/.f64 y x) (.f64 (+.f64 1/2 (.f64 1/24 (pow.f64 x 2))) (*.f64 y x))) z)
(.f64 y (+.f64 (/.f64 1 (.f64 z x)) (/.f64 (+.f64 1/2 (.f64 1/24 (.f64 x x))) (/.f64 z x))))
(.f64 y (+.f64 (/.f64 1 (.f64 z x)) (.f64 (/.f64 (fma.f64 1/24 (.f64 x x) 1/2) z) x)))
(.f64 y (fma.f64 (/.f64 (fma.f64 x (.f64 x 1/24) 1/2) z) x (/.f64 1 (*.f64 z x))))
(/.f64 (fma.f64 (fma.f64 x (.f64 x 1/24) 1/2) (.f64 y x) (/.f64 y x)) z)
(/.f64 (fma.f64 y (.f64 x (fma.f64 x (.f64 x 1/24) 1/2)) (/.f64 y x)) z)
(.f64 -1 (/.f64 (+.f64 (.f64 -1 (.f64 (+.f64 1/2 (.f64 1/24 (pow.f64 x 2))) (.f64 y x))) (.f64 -1 (/.f64 y x))) z))
(.f64 y (+.f64 (/.f64 1 (.f64 z x)) (/.f64 (+.f64 1/2 (.f64 1/24 (.f64 x x))) (/.f64 z x))))
(.f64 y (+.f64 (/.f64 1 (.f64 z x)) (.f64 (/.f64 (fma.f64 1/24 (.f64 x x) 1/2) z) x)))
(.f64 y (fma.f64 (/.f64 (fma.f64 x (.f64 x 1/24) 1/2) z) x (/.f64 1 (*.f64 z x))))
(/.f64 (fma.f64 (fma.f64 x (.f64 x 1/24) 1/2) (.f64 y x) (/.f64 y x)) z)
(/.f64 (fma.f64 y (.f64 x (fma.f64 x (.f64 x 1/24) 1/2)) (/.f64 y x)) z)
(.f64 -1 (/.f64 (+.f64 (.f64 -1 (.f64 (+.f64 1/2 (.f64 1/24 (pow.f64 x 2))) (.f64 y x))) (.f64 -1 (/.f64 y x))) z))
(.f64 y (+.f64 (/.f64 1 (.f64 z x)) (/.f64 (+.f64 1/2 (.f64 1/24 (.f64 x x))) (/.f64 z x))))
(.f64 y (+.f64 (/.f64 1 (.f64 z x)) (.f64 (/.f64 (fma.f64 1/24 (.f64 x x) 1/2) z) x)))
(.f64 y (fma.f64 (/.f64 (fma.f64 x (.f64 x 1/24) 1/2) z) x (/.f64 1 (*.f64 z x))))
(/.f64 (fma.f64 (fma.f64 x (.f64 x 1/24) 1/2) (.f64 y x) (/.f64 y x)) z)
(/.f64 (fma.f64 y (.f64 x (fma.f64 x (.f64 x 1/24) 1/2)) (/.f64 y x)) z)
(.f64 -1 (/.f64 (+.f64 (.f64 -1 (.f64 (+.f64 1/2 (.f64 1/24 (pow.f64 x 2))) (.f64 y x))) (.f64 -1 (/.f64 y x))) z))
(.f64 y (+.f64 (/.f64 1 (.f64 z x)) (/.f64 (+.f64 1/2 (.f64 1/24 (.f64 x x))) (/.f64 z x))))
(.f64 y (+.f64 (/.f64 1 (.f64 z x)) (.f64 (/.f64 (fma.f64 1/24 (.f64 x x) 1/2) z) x)))
(.f64 y (fma.f64 (/.f64 (fma.f64 x (.f64 x 1/24) 1/2) z) x (/.f64 1 (*.f64 z x))))
(/.f64 (fma.f64 (fma.f64 x (.f64 x 1/24) 1/2) (.f64 y x) (/.f64 y x)) z)
(/.f64 (fma.f64 y (.f64 x (fma.f64 x (.f64 x 1/24) 1/2)) (/.f64 y x)) z)
(.f64 -1 (/.f64 (+.f64 (.f64 -1 (.f64 (+.f64 1/2 (.f64 1/24 (pow.f64 x 2))) (.f64 y x))) (.f64 -1 (/.f64 y x))) z))
(.f64 y (+.f64 (/.f64 1 (.f64 z x)) (/.f64 (+.f64 1/2 (.f64 1/24 (.f64 x x))) (/.f64 z x))))
(.f64 y (+.f64 (/.f64 1 (.f64 z x)) (.f64 (/.f64 (fma.f64 1/24 (.f64 x x) 1/2) z) x)))
(.f64 y (fma.f64 (/.f64 (fma.f64 x (.f64 x 1/24) 1/2) z) x (/.f64 1 (*.f64 z x))))
(/.f64 (fma.f64 (fma.f64 x (.f64 x 1/24) 1/2) (.f64 y x) (/.f64 y x)) z)
(/.f64 (fma.f64 y (.f64 x (fma.f64 x (.f64 x 1/24) 1/2)) (/.f64 y x)) z)

eval362.0ms (3%)

Compiler: Compiled 14084 to 6085 computations (56.8% saved)

prune347.0ms (2.9%)

Pruning

25 alts after pruning (22 fresh and 3 done)

	Pruned	Kept	Total
New	817	18	835
Fresh	7	4	11
Picked	1	0	1
Done	1	3	4
Total	826	25	851

Error

Counts

851 → 25

Alt Table

Click to see full alt table

Status	Error	Program
	10.1b	(/.f64 (fma.f64 x 1/2 (/.f64 1 x)) (/.f64 z y))
	7.6b	(.f64 (/.f64 1 (.f64 z x)) y)
	37.3b	(/.f64 (pow.f64 (sqrt.f64 (*.f64 (cosh.f64 x) (/.f64 y x))) 2) z)
✓	7.9b	(/.f64 (*.f64 y (/.f64 (cosh.f64 x) z)) x)
	9.2b	(/.f64 (.f64 (/.f64 y z) (+.f64 1 (.f64 1/2 (*.f64 x x)))) x)
▶	5.6b	(.f64 y (/.f64 (cosh.f64 x) (.f64 x z)))
	8.7b	(/.f64 (.f64 (+.f64 (.f64 1/2 x) (/.f64 1 x)) y) z)
	9.8b	(/.f64 (/.f64 y z) x)
▶	8.6b	(/.f64 (+.f64 (/.f64 y x) (.f64 1/2 (.f64 y x))) z)
	9.9b	(/.f64 (*.f64 y (/.f64 1 z)) x)
▶	7.9b	(/.f64 (.f64 y (.f64 (/.f64 1 z) (cosh.f64 x))) x)
	33.8b	(/.f64 (.f64 (/.f64 y z) (-.f64 (.f64 (.f64 x x) 1/4) (pow.f64 x -2))) (-.f64 (.f64 x 1/2) (/.f64 1 x)))
	6.9b	(+.f64 (/.f64 y (.f64 z x)) (.f64 (/.f64 y z) (*.f64 x 1/2)))
	7.4b	(/.f64 (/.f64 (cosh.f64 x) (/.f64 x y)) z)
	30.0b	(-.f64 (+.f64 1 (/.f64 y (*.f64 z x))) 1)
	8.6b	(pow.f64 (cbrt.f64 (/.f64 (*.f64 y (/.f64 (cosh.f64 x) z)) x)) 3)
✓	7.5b	(/.f64 y (*.f64 z x))
	8.8b	(/.f64 (/.f64 1 (/.f64 z (*.f64 y (cosh.f64 x)))) x)
	7.7b	(.f64 y (.f64 (/.f64 1 z) (/.f64 1 x)))
	57.4b	(.f64 y (.f64 1/2 (/.f64 x z)))
	9.3b	(*.f64 (/.f64 1 z) (/.f64 y x))
▶	9.9b	(*.f64 (/.f64 y z) (/.f64 1 x))
▶	9.2b	(/.f64 (/.f64 y x) z)
	8.3b	(+.f64 (/.f64 (/.f64 y x) z) (.f64 (/.f64 y z) (+.f64 (.f64 (.f64 1/24 (.f64 x x)) x) (*.f64 1/2 x))))
✓	9.2b	(.f64 (/.f64 y z) (+.f64 (.f64 x 1/2) (/.f64 1 x)))

Compiler

Compiled 607 to 414 computations (31.8% saved)

localize9.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
	0.0b	(cosh.f64 x)
✓	0.2b	(/.f64 (cosh.f64 x) (*.f64 x z))
✓	5.2b	(.f64 y (/.f64 (cosh.f64 x) (.f64 x z)))

Compiler

Compiled 25 to 7 computations (72% saved)

series7.0ms (0.1%)

Counts

2 → 60

Calls

15 calls:

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

rewrite73.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

507×	`log-prod_binary64`
384×	`exp-prod_binary64`
378×	`prod-exp_binary64`
315×	`pow-prod-down_binary64`
239×	`pow2_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	21
1	171	21
2	2415	21

Stop Event

1×	node limit

Counts

2 → 106

Calls

Call 1

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

Outputs

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

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

simplify166.0ms (1.4%)

Algorithm

1×	egg-herbie

Rules

1004×	`fma-def_binary64`
686×	`unswap-sqr_binary64`
607×	`associate-/l*_binary64`
364×	`associate-/r/_binary64`
354×	`associate-/r*_binary64`

Iterations

Useful iterations: 5 (0.0ms)

Iter	Nodes	Cost
0	48	1272
1	134	1268
2	363	1210
3	896	1204
4	2244	1194
5	5136	1189
6	5485	1189
7	6479	1189

Stop Event

1×	node limit

Counts

166 → 126

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

localize10.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
	6.8b	(/.f64 (/.f64 y x) z)

Compiler

Compiled 14 to 5 computations (64.3% saved)

localize34.0ms (0.3%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	7.8b	(*.f64 (/.f64 y z) (/.f64 1 x))

Compiler

Compiled 20 to 10 computations (50% saved)

series20.0ms (0.2%)

Counts

1 → 36

Calls

9 calls:

Time	Variable		Point	Expression
16.0ms	x	@	inf	(*.f64 (/.f64 y z) (/.f64 1 x))
1.0ms	y	@	0	(*.f64 (/.f64 y z) (/.f64 1 x))
0.0ms	y	@	inf	(*.f64 (/.f64 y z) (/.f64 1 x))
0.0ms	z	@	inf	(*.f64 (/.f64 y z) (/.f64 1 x))
0.0ms	x	@	-inf	(*.f64 (/.f64 y z) (/.f64 1 x))

rewrite86.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

907×	`pow1_binary64`
841×	`add-log-exp_binary64`
841×	`log1p-expm1-u_binary64`
841×	`expm1-log1p-u_binary64`
822×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	7
1	170	7
2	2340	7

Stop Event

1×	node limit

Counts

1 → 49

Calls

Call 1

Inputs
(*.f64 (/.f64 y z) (/.f64 1 x))

Outputs

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

simplify23.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

2×	`associate-/r*_binary64`
1×	`*-commutative_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	252
1	9	252
2	11	252

Stop Event

1×

saturated

Counts

85 → 49

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))

Outputs
(/.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))

localize30.0ms (0.2%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(.f64 1/2 (.f64 y x))
✓	0.0b	(+.f64 (/.f64 y x) (.f64 1/2 (.f64 y x)))
✓	6.8b	(/.f64 (+.f64 (/.f64 y x) (.f64 1/2 (.f64 y x))) z)

Compiler

Compiled 38 to 15 computations (60.5% saved)

series17.0ms (0.1%)

Counts

3 → 39

Calls

21 calls:

Time	Variable		Point	Expression
2.0ms	z	@	0	(/.f64 (+.f64 (/.f64 y x) (.f64 1/2 (.f64 y x))) z)
2.0ms	y	@	inf	(/.f64 (+.f64 (/.f64 y x) (.f64 1/2 (.f64 y x))) z)
2.0ms	y	@	0	(/.f64 (+.f64 (/.f64 y x) (.f64 1/2 (.f64 y x))) z)
2.0ms	y	@	-inf	(/.f64 (+.f64 (/.f64 y x) (.f64 1/2 (.f64 y x))) z)
1.0ms	x	@	0	(/.f64 (+.f64 (/.f64 y x) (.f64 1/2 (.f64 y x))) z)

rewrite85.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

619×	`log-prod_binary64`
390×	`pow-prod-down_binary64`
358×	`fma-def_binary64`
305×	`pow2_binary64`
213×	`pow1/3_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	10	36
1	223	32
2	3244	32

Stop Event

1×	node limit

Counts

3 → 129

Calls

Call 1

Inputs
(/.f64 (+.f64 (/.f64 y x) (.f64 1/2 (.f64 y x))) z)
(+.f64 (/.f64 y x) (.f64 1/2 (.f64 y x)))
(.f64 1/2 (.f64 y x))

Outputs

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

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

((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 y (*.f64 x 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (pow.f64 (exp.f64 y) x))) 2)) (log.f64 (cbrt.f64 (sqrt.f64 (pow.f64 (exp.f64 y) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (sqrt.f64 (pow.f64 (exp.f64 y) x)))) (log.f64 (sqrt.f64 (sqrt.f64 (pow.f64 (exp.f64 y) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 y (*.f64 x 1/2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 y (*.f64 x 1/2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 y (*.f64 x 1/2)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 y (*.f64 x 1/2))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 y (*.f64 x 1/2))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 1/8 (pow.f64 (*.f64 y x) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 y (*.f64 x 1/2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (sqrt.f64 (pow.f64 (exp.f64 y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 y (*.f64 x 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 1/8 (pow.f64 (*.f64 y x) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 y (*.f64 x 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 y (*.f64 x 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 y (*.f64 x 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 y (*.f64 x 1/2))) 1))))))

simplify145.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

916×	`div-sub_binary64`
870×	`fma-neg_binary64`
841×	`fma-def_binary64`
372×	`associate-/l*_binary64`
305×	`cancel-sign-sub-inv_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	27	471
1	60	471
2	134	471
3	327	471
4	716	471
5	1696	471
6	3569	471
7	5118	471
8	5969	471
9	6708	471
10	7006	471
11	7284	471
12	7667	471

Stop Event

1×	node limit

Counts

168 → 143

Calls

Call 1

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

Outputs
(/.f64 (.f64 (+.f64 (.f64 1/2 x) (/.f64 1 x)) y) z)
(/.f64 (fma.f64 1/2 x (/.f64 1 x)) (/.f64 z y))
(*.f64 (/.f64 (fma.f64 1/2 x (/.f64 1 x)) z) y)
(*.f64 (/.f64 y z) (fma.f64 1/2 x (/.f64 1 x)))
(/.f64 (fma.f64 1/2 (*.f64 x y) (/.f64 y x)) z)
(/.f64 (.f64 (+.f64 (.f64 1/2 x) (/.f64 1 x)) y) z)
(/.f64 (fma.f64 1/2 x (/.f64 1 x)) (/.f64 z y))
(*.f64 (/.f64 (fma.f64 1/2 x (/.f64 1 x)) z) y)
(*.f64 (/.f64 y z) (fma.f64 1/2 x (/.f64 1 x)))
(/.f64 (fma.f64 1/2 (*.f64 x y) (/.f64 y x)) z)
(/.f64 (.f64 (+.f64 (.f64 1/2 x) (/.f64 1 x)) y) z)
(/.f64 (fma.f64 1/2 x (/.f64 1 x)) (/.f64 z y))
(*.f64 (/.f64 (fma.f64 1/2 x (/.f64 1 x)) z) y)
(*.f64 (/.f64 y z) (fma.f64 1/2 x (/.f64 1 x)))
(/.f64 (fma.f64 1/2 (*.f64 x y) (/.f64 y x)) z)
(/.f64 (.f64 (+.f64 (.f64 1/2 x) (/.f64 1 x)) y) z)
(/.f64 (fma.f64 1/2 x (/.f64 1 x)) (/.f64 z y))
(*.f64 (/.f64 (fma.f64 1/2 x (/.f64 1 x)) z) y)
(*.f64 (/.f64 y z) (fma.f64 1/2 x (/.f64 1 x)))
(/.f64 (fma.f64 1/2 (*.f64 x y) (/.f64 y x)) z)
(/.f64 (.f64 (+.f64 (.f64 1/2 x) (/.f64 1 x)) y) z)
(/.f64 (fma.f64 1/2 x (/.f64 1 x)) (/.f64 z y))
(*.f64 (/.f64 (fma.f64 1/2 x (/.f64 1 x)) z) y)
(*.f64 (/.f64 y z) (fma.f64 1/2 x (/.f64 1 x)))
(/.f64 (fma.f64 1/2 (*.f64 x y) (/.f64 y x)) z)
(/.f64 (.f64 (+.f64 (.f64 1/2 x) (/.f64 1 x)) y) z)
(/.f64 (fma.f64 1/2 x (/.f64 1 x)) (/.f64 z y))
(*.f64 (/.f64 (fma.f64 1/2 x (/.f64 1 x)) z) y)
(*.f64 (/.f64 y z) (fma.f64 1/2 x (/.f64 1 x)))
(/.f64 (fma.f64 1/2 (*.f64 x y) (/.f64 y x)) z)
(/.f64 (.f64 (+.f64 (.f64 1/2 x) (/.f64 1 x)) y) z)
(/.f64 (fma.f64 1/2 x (/.f64 1 x)) (/.f64 z y))
(*.f64 (/.f64 (fma.f64 1/2 x (/.f64 1 x)) z) y)
(*.f64 (/.f64 y z) (fma.f64 1/2 x (/.f64 1 x)))
(/.f64 (fma.f64 1/2 (*.f64 x y) (/.f64 y x)) z)
(/.f64 (.f64 (+.f64 (.f64 1/2 x) (/.f64 1 x)) y) z)
(/.f64 (fma.f64 1/2 x (/.f64 1 x)) (/.f64 z y))
(*.f64 (/.f64 (fma.f64 1/2 x (/.f64 1 x)) z) y)
(*.f64 (/.f64 y z) (fma.f64 1/2 x (/.f64 1 x)))
(/.f64 (fma.f64 1/2 (*.f64 x y) (/.f64 y x)) z)
(.f64 -1 (/.f64 (.f64 (-.f64 (*.f64 -1/2 x) (/.f64 1 x)) y) z))
(/.f64 (fma.f64 1/2 x (/.f64 1 x)) (/.f64 z y))
(*.f64 (/.f64 (fma.f64 1/2 x (/.f64 1 x)) z) y)
(*.f64 (/.f64 y z) (fma.f64 1/2 x (/.f64 1 x)))
(/.f64 (fma.f64 1/2 (*.f64 x y) (/.f64 y x)) z)
(.f64 -1 (/.f64 (.f64 (-.f64 (*.f64 -1/2 x) (/.f64 1 x)) y) z))
(/.f64 (fma.f64 1/2 x (/.f64 1 x)) (/.f64 z y))
(*.f64 (/.f64 (fma.f64 1/2 x (/.f64 1 x)) z) y)
(*.f64 (/.f64 y z) (fma.f64 1/2 x (/.f64 1 x)))
(/.f64 (fma.f64 1/2 (*.f64 x y) (/.f64 y x)) z)
(.f64 -1 (/.f64 (.f64 (-.f64 (*.f64 -1/2 x) (/.f64 1 x)) y) z))
(/.f64 (fma.f64 1/2 x (/.f64 1 x)) (/.f64 z y))
(*.f64 (/.f64 (fma.f64 1/2 x (/.f64 1 x)) z) y)
(*.f64 (/.f64 y z) (fma.f64 1/2 x (/.f64 1 x)))
(/.f64 (fma.f64 1/2 (*.f64 x y) (/.f64 y x)) z)
(.f64 -1 (/.f64 (.f64 (-.f64 (*.f64 -1/2 x) (/.f64 1 x)) y) z))
(/.f64 (fma.f64 1/2 x (/.f64 1 x)) (/.f64 z y))
(*.f64 (/.f64 (fma.f64 1/2 x (/.f64 1 x)) z) y)
(*.f64 (/.f64 y z) (fma.f64 1/2 x (/.f64 1 x)))
(/.f64 (fma.f64 1/2 (*.f64 x y) (/.f64 y x)) z)
(/.f64 y (*.f64 z x))
(/.f64 (/.f64 y z) x)
(/.f64 y (*.f64 x z))
(+.f64 (/.f64 y (.f64 z x)) (.f64 1/2 (/.f64 (*.f64 y x) z)))
(/.f64 (fma.f64 1/2 x (/.f64 1 x)) (/.f64 z y))
(*.f64 (/.f64 (fma.f64 1/2 x (/.f64 1 x)) z) y)
(*.f64 (/.f64 y z) (fma.f64 1/2 x (/.f64 1 x)))
(/.f64 (fma.f64 1/2 (*.f64 x y) (/.f64 y x)) z)
(+.f64 (/.f64 y (.f64 z x)) (.f64 1/2 (/.f64 (*.f64 y x) z)))
(/.f64 (fma.f64 1/2 x (/.f64 1 x)) (/.f64 z y))
(*.f64 (/.f64 (fma.f64 1/2 x (/.f64 1 x)) z) y)
(*.f64 (/.f64 y z) (fma.f64 1/2 x (/.f64 1 x)))
(/.f64 (fma.f64 1/2 (*.f64 x y) (/.f64 y x)) z)
(+.f64 (/.f64 y (.f64 z x)) (.f64 1/2 (/.f64 (*.f64 y x) z)))
(/.f64 (fma.f64 1/2 x (/.f64 1 x)) (/.f64 z y))
(*.f64 (/.f64 (fma.f64 1/2 x (/.f64 1 x)) z) y)
(*.f64 (/.f64 y z) (fma.f64 1/2 x (/.f64 1 x)))
(/.f64 (fma.f64 1/2 (*.f64 x y) (/.f64 y x)) z)
(.f64 1/2 (/.f64 (.f64 y x) z))
(*.f64 1/2 (/.f64 y (/.f64 z x)))
(.f64 1/2 (.f64 (/.f64 y z) x))
(.f64 (/.f64 y z) (.f64 1/2 x))
(.f64 x (.f64 1/2 (/.f64 y z)))
(.f64 1/2 (.f64 x (/.f64 y z)))
(+.f64 (/.f64 y (.f64 z x)) (.f64 1/2 (/.f64 (*.f64 y x) z)))
(/.f64 (fma.f64 1/2 x (/.f64 1 x)) (/.f64 z y))
(*.f64 (/.f64 (fma.f64 1/2 x (/.f64 1 x)) z) y)
(*.f64 (/.f64 y z) (fma.f64 1/2 x (/.f64 1 x)))
(/.f64 (fma.f64 1/2 (*.f64 x y) (/.f64 y x)) z)
(+.f64 (/.f64 y (.f64 z x)) (.f64 1/2 (/.f64 (*.f64 y x) z)))
(/.f64 (fma.f64 1/2 x (/.f64 1 x)) (/.f64 z y))
(*.f64 (/.f64 (fma.f64 1/2 x (/.f64 1 x)) z) y)
(*.f64 (/.f64 y z) (fma.f64 1/2 x (/.f64 1 x)))
(/.f64 (fma.f64 1/2 (*.f64 x y) (/.f64 y x)) z)
(+.f64 (/.f64 y (.f64 z x)) (.f64 1/2 (/.f64 (*.f64 y x) z)))
(/.f64 (fma.f64 1/2 x (/.f64 1 x)) (/.f64 z y))
(*.f64 (/.f64 (fma.f64 1/2 x (/.f64 1 x)) z) y)
(*.f64 (/.f64 y z) (fma.f64 1/2 x (/.f64 1 x)))
(/.f64 (fma.f64 1/2 (*.f64 x y) (/.f64 y x)) z)
(.f64 1/2 (/.f64 (.f64 y x) z))
(*.f64 1/2 (/.f64 y (/.f64 z x)))
(.f64 1/2 (.f64 (/.f64 y z) x))
(.f64 (/.f64 y z) (.f64 1/2 x))
(.f64 x (.f64 1/2 (/.f64 y z)))
(.f64 1/2 (.f64 x (/.f64 y z)))
(+.f64 (/.f64 y (.f64 z x)) (.f64 1/2 (/.f64 (*.f64 y x) z)))
(/.f64 (fma.f64 1/2 x (/.f64 1 x)) (/.f64 z y))
(*.f64 (/.f64 (fma.f64 1/2 x (/.f64 1 x)) z) y)
(*.f64 (/.f64 y z) (fma.f64 1/2 x (/.f64 1 x)))
(/.f64 (fma.f64 1/2 (*.f64 x y) (/.f64 y x)) z)
(+.f64 (/.f64 y (.f64 z x)) (.f64 1/2 (/.f64 (*.f64 y x) z)))
(/.f64 (fma.f64 1/2 x (/.f64 1 x)) (/.f64 z y))
(*.f64 (/.f64 (fma.f64 1/2 x (/.f64 1 x)) z) y)
(*.f64 (/.f64 y z) (fma.f64 1/2 x (/.f64 1 x)))
(/.f64 (fma.f64 1/2 (*.f64 x y) (/.f64 y x)) z)
(+.f64 (/.f64 y (.f64 z x)) (.f64 1/2 (/.f64 (*.f64 y x) z)))
(/.f64 (fma.f64 1/2 x (/.f64 1 x)) (/.f64 z y))
(*.f64 (/.f64 (fma.f64 1/2 x (/.f64 1 x)) z) y)
(*.f64 (/.f64 y z) (fma.f64 1/2 x (/.f64 1 x)))
(/.f64 (fma.f64 1/2 (*.f64 x y) (/.f64 y x)) z)
(.f64 (+.f64 (.f64 1/2 x) (/.f64 1 x)) y)
(*.f64 (fma.f64 1/2 x (/.f64 1 x)) y)
(*.f64 y (fma.f64 1/2 x (/.f64 1 x)))
(fma.f64 1/2 (*.f64 x y) (/.f64 y x))
(.f64 (+.f64 (.f64 1/2 x) (/.f64 1 x)) y)
(*.f64 (fma.f64 1/2 x (/.f64 1 x)) y)
(*.f64 y (fma.f64 1/2 x (/.f64 1 x)))
(fma.f64 1/2 (*.f64 x y) (/.f64 y x))
(.f64 (+.f64 (.f64 1/2 x) (/.f64 1 x)) y)
(*.f64 (fma.f64 1/2 x (/.f64 1 x)) y)
(*.f64 y (fma.f64 1/2 x (/.f64 1 x)))
(fma.f64 1/2 (*.f64 x y) (/.f64 y x))
(.f64 (+.f64 (.f64 1/2 x) (/.f64 1 x)) y)
(*.f64 (fma.f64 1/2 x (/.f64 1 x)) y)
(*.f64 y (fma.f64 1/2 x (/.f64 1 x)))
(fma.f64 1/2 (*.f64 x y) (/.f64 y x))
(.f64 (+.f64 (.f64 1/2 x) (/.f64 1 x)) y)
(*.f64 (fma.f64 1/2 x (/.f64 1 x)) y)
(*.f64 y (fma.f64 1/2 x (/.f64 1 x)))
(fma.f64 1/2 (*.f64 x y) (/.f64 y x))
(.f64 (+.f64 (.f64 1/2 x) (/.f64 1 x)) y)
(*.f64 (fma.f64 1/2 x (/.f64 1 x)) y)
(*.f64 y (fma.f64 1/2 x (/.f64 1 x)))
(fma.f64 1/2 (*.f64 x y) (/.f64 y x))
(.f64 (+.f64 (.f64 1/2 x) (/.f64 1 x)) y)
(*.f64 (fma.f64 1/2 x (/.f64 1 x)) y)
(*.f64 y (fma.f64 1/2 x (/.f64 1 x)))
(fma.f64 1/2 (*.f64 x y) (/.f64 y x))
(.f64 (+.f64 (.f64 1/2 x) (/.f64 1 x)) y)
(*.f64 (fma.f64 1/2 x (/.f64 1 x)) y)
(*.f64 y (fma.f64 1/2 x (/.f64 1 x)))
(fma.f64 1/2 (*.f64 x y) (/.f64 y x))
(.f64 -1 (.f64 (-.f64 (*.f64 -1/2 x) (/.f64 1 x)) y))
(*.f64 (fma.f64 1/2 x (/.f64 1 x)) y)
(*.f64 y (fma.f64 1/2 x (/.f64 1 x)))
(fma.f64 1/2 (*.f64 x y) (/.f64 y x))
(.f64 -1 (.f64 (-.f64 (*.f64 -1/2 x) (/.f64 1 x)) y))
(*.f64 (fma.f64 1/2 x (/.f64 1 x)) y)
(*.f64 y (fma.f64 1/2 x (/.f64 1 x)))
(fma.f64 1/2 (*.f64 x y) (/.f64 y x))
(.f64 -1 (.f64 (-.f64 (*.f64 -1/2 x) (/.f64 1 x)) y))
(*.f64 (fma.f64 1/2 x (/.f64 1 x)) y)
(*.f64 y (fma.f64 1/2 x (/.f64 1 x)))
(fma.f64 1/2 (*.f64 x y) (/.f64 y x))
(.f64 -1 (.f64 (-.f64 (*.f64 -1/2 x) (/.f64 1 x)) y))
(*.f64 (fma.f64 1/2 x (/.f64 1 x)) y)
(*.f64 y (fma.f64 1/2 x (/.f64 1 x)))
(fma.f64 1/2 (*.f64 x y) (/.f64 y x))
(/.f64 y x)
(.f64 1/2 (.f64 y x))
(.f64 (.f64 1/2 y) x)
(.f64 x (.f64 1/2 y))
(.f64 1/2 (.f64 x y))
(.f64 1/2 (.f64 y x))
(.f64 (.f64 1/2 y) x)
(.f64 x (.f64 1/2 y))
(.f64 1/2 (.f64 x y))

localize16.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.0b	(cosh.f64 x)
✓	0.0b	(*.f64 (/.f64 1 z) (cosh.f64 x))
✓	0.2b	(.f64 y (.f64 (/.f64 1 z) (cosh.f64 x)))
✓	7.8b	(/.f64 (.f64 y (.f64 (/.f64 1 z) (cosh.f64 x))) x)

Compiler

Compiled 36 to 19 computations (47.2% saved)

series8.0ms (0.1%)

Counts

3 → 96

Calls

24 calls:

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

rewrite86.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

592×	`log-prod_binary64`
454×	`exp-prod_binary64`
366×	`pow-prod-down_binary64`
274×	`pow2_binary64`
217×	`pow-unpow_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	27
1	210	27
2	2878	27

Stop Event

1×	node limit

Counts

3 → 131

Calls

Call 1

Inputs
(/.f64 (.f64 y (.f64 (/.f64 1 z) (cosh.f64 x))) x)
(.f64 y (.f64 (/.f64 1 z) (cosh.f64 x)))
(*.f64 (/.f64 1 z) (cosh.f64 x))

Outputs

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

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

simplify119.0ms (1%)

Algorithm

1×	egg-herbie

Rules

665×	`times-frac_binary64`
603×	`associate-/l*_binary64`
504×	`distribute-lft-in_binary64`
454×	`distribute-rgt-in_binary64`
416×	`fma-def_binary64`

Iterations

Useful iterations: 6 (0.0ms)

Iter	Nodes	Cost
0	69	1905
1	191	1903
2	491	1817
3	1446	1807
4	4141	1798
5	5585	1788
6	6720	1785

Stop Event

1×	node limit

Counts

227 → 159

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

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

eval401.0ms (3.3%)

Compiler: Compiled 8404 to 3600 computations (57.2% saved)

prune315.0ms (2.6%)

Pruning

25 alts after pruning (17 fresh and 8 done)

	Pruned	Kept	Total
New	598	10	608
Fresh	10	7	17
Picked	0	1	1
Done	0	7	7
Total	608	25	633

Error

Counts

633 → 25

Alt Table

Click to see full alt table

Status	Error	Program
▶	9.8b	(/.f64 (/.f64 y z) x)
✓	7.9b	(/.f64 (*.f64 y (/.f64 (cosh.f64 x) z)) x)
▶	9.2b	(/.f64 (.f64 (/.f64 y z) (+.f64 1 (.f64 1/2 (*.f64 x x)))) x)
✓	5.6b	(.f64 y (/.f64 (cosh.f64 x) (.f64 x z)))
	8.7b	(/.f64 (.f64 (+.f64 (.f64 1/2 x) (/.f64 1 x)) y) z)
	10.8b	(/.f64 (/.f64 1 x) (/.f64 z y))
✓	8.6b	(/.f64 (+.f64 (/.f64 y x) (.f64 1/2 (.f64 y x))) z)
	8.3b	(+.f64 (/.f64 (/.f64 y x) z) (.f64 (/.f64 y z) (+.f64 (.f64 (.f64 1/24 (.f64 x x)) x) (*.f64 1/2 x))))
▶	5.7b	(.f64 y (.f64 (/.f64 (cosh.f64 x) x) (/.f64 1 z)))
✓	7.9b	(/.f64 (.f64 y (.f64 (/.f64 1 z) (cosh.f64 x))) x)
▶	7.7b	(/.f64 1 (/.f64 (*.f64 z x) y))
	33.8b	(/.f64 (.f64 (/.f64 y z) (-.f64 (.f64 (.f64 x x) 1/4) (pow.f64 x -2))) (-.f64 (.f64 x 1/2) (/.f64 1 x)))
	6.9b	(+.f64 (/.f64 y (.f64 z x)) (.f64 (/.f64 y z) (*.f64 x 1/2)))
	9.3b	(*.f64 (/.f64 y x) (/.f64 1 z))
	9.9b	(/.f64 (*.f64 y (/.f64 1 z)) x)
✓	7.5b	(/.f64 y (*.f64 z x))
	8.8b	(/.f64 (/.f64 1 (/.f64 z (*.f64 y (cosh.f64 x)))) x)
	9.3b	(/.f64 (*.f64 (/.f64 1 x) (neg.f64 y)) (neg.f64 z))
✓	9.2b	(.f64 (/.f64 y z) (+.f64 (.f64 x 1/2) (/.f64 1 x)))
	57.4b	(.f64 y (.f64 1/2 (/.f64 x z)))
▶	24.8b	(-.f64 (+.f64 1 (/.f64 (/.f64 y z) x)) 1)
✓	9.9b	(*.f64 (/.f64 y z) (/.f64 1 x))
✓	9.2b	(/.f64 (/.f64 y x) z)
	10.8b	(/.f64 1 (*.f64 (/.f64 z y) x))
	7.6b	(/.f64 y (/.f64 x (/.f64 1 z)))

Compiler

Compiled 533 to 365 computations (31.5% saved)

localize14.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.0b	(cosh.f64 x)
✓	0.0b	(/.f64 (cosh.f64 x) x)
✓	0.3b	(*.f64 (/.f64 (cosh.f64 x) x) (/.f64 1 z))
✓	5.2b	(.f64 y (.f64 (/.f64 (cosh.f64 x) x) (/.f64 1 z)))

Compiler

Compiled 34 to 15 computations (55.9% saved)

series38.0ms (0.3%)

Counts

3 → 72

Calls

18 calls:

Time	Variable		Point	Expression
21.0ms	z	@	inf	(.f64 y (.f64 (/.f64 (cosh.f64 x) x) (/.f64 1 z)))
12.0ms	x	@	-inf	(/.f64 (cosh.f64 x) x)
0.0ms	y	@	0	(.f64 y (.f64 (/.f64 (cosh.f64 x) x) (/.f64 1 z)))
0.0ms	z	@	inf	(*.f64 (/.f64 (cosh.f64 x) x) (/.f64 1 z))
0.0ms	x	@	0	(/.f64 (cosh.f64 x) x)

rewrite171.0ms (1.4%)

Algorithm

1×	batch-egg-rewrite

Rules

581×	`log-prod_binary64`
419×	`pow-prod-down_binary64`
278×	`pow2_binary64`
247×	`pow-unpow_binary64`
199×	`pow1/3_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	27
1	215	27
2	2996	27

Stop Event

1×	node limit

Counts

3 → 138

Calls

Call 1

Inputs
(.f64 y (.f64 (/.f64 (cosh.f64 x) x) (/.f64 1 z)))
(*.f64 (/.f64 (cosh.f64 x) x) (/.f64 1 z))
(/.f64 (cosh.f64 x) x)

Outputs

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

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

simplify300.0ms (2.5%)

Algorithm

1×	egg-herbie

Rules

686×	`unswap-sqr_binary64`
616×	`associate-/l*_binary64`
406×	`fma-def_binary64`
402×	`associate-/r*_binary64`
396×	`associate-/r/_binary64`

Iterations

Useful iterations: 5 (0.0ms)

Iter	Nodes	Cost
0	59	1453
1	161	1445
2	433	1379
3	1101	1369
4	2596	1361
5	4800	1348
6	5107	1348
7	6039	1348
8	7932	1348

Stop Event

1×	node limit

Counts

210 → 167

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

localize6.0ms (0%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	7.8b	(/.f64 (/.f64 y z) x)

Compiler

Compiled 14 to 5 computations (64.3% saved)

series3.0ms (0%)

Counts

1 → 36

Calls

9 calls:

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

rewrite65.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

797×	`pow1_binary64`
740×	`add-log-exp_binary64`
740×	`log1p-expm1-u_binary64`
740×	`expm1-log1p-u_binary64`
723×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	7
1	131	7
2	1921	7

Stop Event

1×	node limit

Counts

1 → 38

Calls

Call 1

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

Outputs

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

simplify16.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

2×	`associate-/r*_binary64`
1×	`*-commutative_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	252
1	9	252
2	11	252

Stop Event

1×

saturated

Counts

74 → 39

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))

Outputs
(/.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))

localize8.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.5b	(/.f64 1 (/.f64 (*.f64 z x) y))
✓	5.2b	(/.f64 (*.f64 z x) y)

Compiler

Compiled 22 to 8 computations (63.6% saved)

series8.0ms (0.1%)

Counts

2 → 36

Calls

18 calls:

Time	Variable		Point	Expression
2.0ms	x	@	inf	(/.f64 (*.f64 z x) y)
1.0ms	z	@	0	(/.f64 (*.f64 z x) y)
1.0ms	x	@	-inf	(/.f64 (*.f64 z x) y)
1.0ms	x	@	0	(/.f64 (*.f64 z x) y)
0.0ms	z	@	-inf	(/.f64 (*.f64 z x) y)

rewrite115.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

869×	`pow1_binary64`
804×	`add-log-exp_binary64`
804×	`log1p-expm1-u_binary64`
804×	`expm1-log1p-u_binary64`
785×	`add-exp-log_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	8	17
1	166	14
2	2218	14

Stop Event

1×	node limit

Counts

2 → 83

Calls

Call 1

Inputs
(/.f64 (*.f64 z x) y)
(/.f64 1 (/.f64 (*.f64 z x) y))

Outputs

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

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

simplify15.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

2×	`associate-/r*_binary64`
1×	`*-commutative_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	252
1	9	252
2	11	252

Stop Event

1×

saturated

Counts

119 → 84

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))

Outputs
(/.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))

localize10.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	3.5b	(-.f64 (+.f64 1 (/.f64 (/.f64 y z) x)) 1)
	7.8b	(/.f64 (/.f64 y z) x)

Compiler

Compiled 31 to 12 computations (61.3% saved)

series3.0ms (0%)

Counts

1 → 36

Calls

9 calls:

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

rewrite119.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

566×	`prod-diff_binary64`
485×	`log-prod_binary64`
419×	`fma-def_binary64`
254×	`pow2_binary64`
200×	`log-div_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	9	13
1	207	7
2	3154	7

Stop Event

1×	node limit

Counts

1 → 131

Calls

Call 1

Inputs
(-.f64 (+.f64 1 (/.f64 (/.f64 y z) x)) 1)

Outputs

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

simplify17.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

2×	`associate-/r*_binary64`
1×	`*-commutative_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	252
1	9	252
2	11	252

Stop Event

1×

saturated

Counts

167 → 131

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))

Outputs
(/.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))

localize22.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 1 (.f64 1/2 (.f64 x x)))
✓	0.0b	(.f64 1/2 (.f64 x x))
✓	0.0b	(.f64 (/.f64 y z) (+.f64 1 (.f64 1/2 (*.f64 x x))))
✓	7.8b	(/.f64 (.f64 (/.f64 y z) (+.f64 1 (.f64 1/2 (*.f64 x x)))) x)

Compiler

Compiled 50 to 24 computations (52% saved)

series17.0ms (0.1%)

Counts

4 → 96

Calls

24 calls:

Time	Variable		Point	Expression
3.0ms	y	@	0	(.f64 (/.f64 y z) (+.f64 1 (.f64 1/2 (*.f64 x x))))
2.0ms	y	@	0	(/.f64 (.f64 (/.f64 y z) (+.f64 1 (.f64 1/2 (*.f64 x x)))) x)
1.0ms	z	@	0	(/.f64 (.f64 (/.f64 y z) (+.f64 1 (.f64 1/2 (*.f64 x x)))) x)
1.0ms	x	@	inf	(/.f64 (.f64 (/.f64 y z) (+.f64 1 (.f64 1/2 (*.f64 x x)))) x)
1.0ms	z	@	inf	(/.f64 (.f64 (/.f64 y z) (+.f64 1 (.f64 1/2 (*.f64 x x)))) x)

rewrite176.0ms (1.5%)

Algorithm

1×	batch-egg-rewrite

Rules

876×	`prod-diff_binary64`
706×	`log-prod_binary64`
413×	`fma-def_binary64`
229×	`expm1-udef_binary64`
229×	`log1p-udef_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	12	52
1	264	46
2	3837	46

Stop Event

1×	node limit

Counts

4 → 228

Calls

Call 1

Inputs
(/.f64 (.f64 (/.f64 y z) (+.f64 1 (.f64 1/2 (*.f64 x x)))) x)
(.f64 (/.f64 y z) (+.f64 1 (.f64 1/2 (*.f64 x x))))
(.f64 1/2 (.f64 x x))
(+.f64 1 (.f64 1/2 (.f64 x x)))

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

simplify214.0ms (1.8%)

Algorithm

1×	egg-herbie

Rules

1251×	`fma-def_binary64`
902×	`unswap-sqr_binary64`
375×	`associate-/l*_binary64`
372×	`*-commutative_binary64`
294×	`associate-/r*_binary64`

Iterations

Useful iterations: 5 (0.0ms)

Iter	Nodes	Cost
0	25	1401
1	58	1251
2	124	1251
3	290	1251
4	982	1242
5	2970	1224
6	3548	1224
7	4325	1224
8	5210	1224
9	5441	1224
10	5685	1224
11	5917	1224
12	6232	1224
13	6680	1224

Stop Event

1×	node limit

Counts

324 → 247

Calls

Call 1

Inputs
(/.f64 (.f64 (+.f64 1 (.f64 1/2 (pow.f64 x 2))) y) (*.f64 z x))
(/.f64 (.f64 (+.f64 1 (.f64 1/2 (pow.f64 x 2))) y) (*.f64 z x))
(/.f64 (.f64 (+.f64 1 (.f64 1/2 (pow.f64 x 2))) y) (*.f64 z x))
(/.f64 (.f64 (+.f64 1 (.f64 1/2 (pow.f64 x 2))) y) (*.f64 z x))
(/.f64 (.f64 (+.f64 1 (.f64 1/2 (pow.f64 x 2))) y) (*.f64 z x))
(/.f64 (.f64 (+.f64 1 (.f64 1/2 (pow.f64 x 2))) y) (*.f64 z x))
(/.f64 (.f64 (+.f64 1 (.f64 1/2 (pow.f64 x 2))) y) (*.f64 z x))
(/.f64 (.f64 (+.f64 1 (.f64 1/2 (pow.f64 x 2))) y) (*.f64 z x))
(/.f64 (.f64 (+.f64 1 (.f64 1/2 (pow.f64 x 2))) y) (*.f64 z x))
(/.f64 (.f64 (+.f64 1 (.f64 1/2 (pow.f64 x 2))) y) (*.f64 z x))
(/.f64 (.f64 (+.f64 1 (.f64 1/2 (pow.f64 x 2))) y) (*.f64 z x))
(/.f64 (.f64 (+.f64 1 (.f64 1/2 (pow.f64 x 2))) y) (*.f64 z x))
(/.f64 (.f64 (+.f64 1 (.f64 1/2 (pow.f64 x 2))) y) (*.f64 z x))
(/.f64 (.f64 (+.f64 1 (.f64 1/2 (pow.f64 x 2))) y) (*.f64 z x))
(/.f64 (.f64 (+.f64 1 (.f64 1/2 (pow.f64 x 2))) y) (*.f64 z x))
(/.f64 (.f64 (+.f64 1 (.f64 1/2 (pow.f64 x 2))) y) (*.f64 z x))
(/.f64 (.f64 (+.f64 1 (.f64 1/2 (pow.f64 x 2))) y) (*.f64 z x))
(/.f64 (.f64 (+.f64 1 (.f64 1/2 (pow.f64 x 2))) y) (*.f64 z x))
(/.f64 (.f64 (+.f64 1 (.f64 1/2 (pow.f64 x 2))) y) (*.f64 z x))
(/.f64 (.f64 (+.f64 1 (.f64 1/2 (pow.f64 x 2))) y) (*.f64 z x))
(/.f64 (.f64 (+.f64 1 (.f64 1/2 (pow.f64 x 2))) y) (*.f64 z x))
(/.f64 (.f64 (+.f64 1 (.f64 1/2 (pow.f64 x 2))) y) (*.f64 z x))
(/.f64 (.f64 (+.f64 1 (.f64 1/2 (pow.f64 x 2))) y) (*.f64 z x))
(/.f64 (.f64 (+.f64 1 (.f64 1/2 (pow.f64 x 2))) 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 1/2 (/.f64 (*.f64 y x) z)))
(+.f64 (/.f64 y (.f64 z x)) (.f64 1/2 (/.f64 (*.f64 y x) z)))
(.f64 1/2 (/.f64 (.f64 y x) z))
(+.f64 (/.f64 y (.f64 z x)) (.f64 1/2 (/.f64 (*.f64 y x) z)))
(+.f64 (/.f64 y (.f64 z x)) (.f64 1/2 (/.f64 (*.f64 y x) z)))
(+.f64 (/.f64 y (.f64 z x)) (.f64 1/2 (/.f64 (*.f64 y x) z)))
(.f64 1/2 (/.f64 (.f64 y x) z))
(+.f64 (/.f64 y (.f64 z x)) (.f64 1/2 (/.f64 (*.f64 y x) z)))
(+.f64 (/.f64 y (.f64 z x)) (.f64 1/2 (/.f64 (*.f64 y x) z)))
(+.f64 (/.f64 y (.f64 z x)) (.f64 1/2 (/.f64 (*.f64 y x) z)))
(/.f64 (.f64 (+.f64 1 (.f64 1/2 (pow.f64 x 2))) y) z)
(/.f64 (.f64 (+.f64 1 (.f64 1/2 (pow.f64 x 2))) y) z)
(/.f64 (.f64 (+.f64 1 (.f64 1/2 (pow.f64 x 2))) y) z)
(/.f64 (.f64 (+.f64 1 (.f64 1/2 (pow.f64 x 2))) y) z)
(/.f64 (.f64 (+.f64 1 (.f64 1/2 (pow.f64 x 2))) y) z)
(/.f64 (.f64 (+.f64 1 (.f64 1/2 (pow.f64 x 2))) y) z)
(/.f64 (.f64 (+.f64 1 (.f64 1/2 (pow.f64 x 2))) y) z)
(/.f64 (.f64 (+.f64 1 (.f64 1/2 (pow.f64 x 2))) y) z)
(/.f64 (.f64 (+.f64 1 (.f64 1/2 (pow.f64 x 2))) y) z)
(/.f64 (.f64 (+.f64 1 (.f64 1/2 (pow.f64 x 2))) y) z)
(/.f64 (.f64 (+.f64 1 (.f64 1/2 (pow.f64 x 2))) y) z)
(/.f64 (.f64 (+.f64 1 (.f64 1/2 (pow.f64 x 2))) y) z)
(/.f64 (.f64 (+.f64 1 (.f64 1/2 (pow.f64 x 2))) y) z)
(/.f64 (.f64 (+.f64 1 (.f64 1/2 (pow.f64 x 2))) y) z)
(/.f64 (.f64 (+.f64 1 (.f64 1/2 (pow.f64 x 2))) y) z)
(/.f64 (.f64 (+.f64 1 (.f64 1/2 (pow.f64 x 2))) y) z)
(/.f64 (.f64 (+.f64 1 (.f64 1/2 (pow.f64 x 2))) y) z)
(/.f64 (.f64 (+.f64 1 (.f64 1/2 (pow.f64 x 2))) y) z)
(/.f64 (.f64 (+.f64 1 (.f64 1/2 (pow.f64 x 2))) y) z)
(/.f64 (.f64 (+.f64 1 (.f64 1/2 (pow.f64 x 2))) y) z)
(/.f64 (.f64 (+.f64 1 (.f64 1/2 (pow.f64 x 2))) y) z)
(/.f64 (.f64 (+.f64 1 (.f64 1/2 (pow.f64 x 2))) y) z)
(/.f64 (.f64 (+.f64 1 (.f64 1/2 (pow.f64 x 2))) y) z)
(/.f64 (.f64 (+.f64 1 (.f64 1/2 (pow.f64 x 2))) y) z)
(/.f64 y z)
(+.f64 (.f64 1/2 (/.f64 (.f64 y (pow.f64 x 2)) z)) (/.f64 y z))
(+.f64 (.f64 1/2 (/.f64 (.f64 y (pow.f64 x 2)) z)) (/.f64 y z))
(+.f64 (.f64 1/2 (/.f64 (.f64 y (pow.f64 x 2)) z)) (/.f64 y z))
(.f64 1/2 (/.f64 (.f64 y (pow.f64 x 2)) z))
(+.f64 (/.f64 y z) (.f64 1/2 (/.f64 (.f64 y (pow.f64 x 2)) z)))
(+.f64 (/.f64 y z) (.f64 1/2 (/.f64 (.f64 y (pow.f64 x 2)) z)))
(+.f64 (/.f64 y z) (.f64 1/2 (/.f64 (.f64 y (pow.f64 x 2)) z)))
(.f64 1/2 (/.f64 (.f64 y (pow.f64 x 2)) z))
(+.f64 (/.f64 y z) (.f64 1/2 (/.f64 (.f64 y (pow.f64 x 2)) z)))
(+.f64 (/.f64 y z) (.f64 1/2 (/.f64 (.f64 y (pow.f64 x 2)) z)))
(+.f64 (/.f64 y z) (.f64 1/2 (/.f64 (.f64 y (pow.f64 x 2)) z)))
(*.f64 1/2 (pow.f64 x 2))
(*.f64 1/2 (pow.f64 x 2))
(*.f64 1/2 (pow.f64 x 2))
(*.f64 1/2 (pow.f64 x 2))
(*.f64 1/2 (pow.f64 x 2))
(*.f64 1/2 (pow.f64 x 2))
(*.f64 1/2 (pow.f64 x 2))
(*.f64 1/2 (pow.f64 x 2))
(*.f64 1/2 (pow.f64 x 2))
(*.f64 1/2 (pow.f64 x 2))
(*.f64 1/2 (pow.f64 x 2))
(*.f64 1/2 (pow.f64 x 2))
1
(+.f64 1 (*.f64 1/2 (pow.f64 x 2)))
(+.f64 1 (*.f64 1/2 (pow.f64 x 2)))
(+.f64 1 (*.f64 1/2 (pow.f64 x 2)))
(*.f64 1/2 (pow.f64 x 2))
(+.f64 1 (*.f64 1/2 (pow.f64 x 2)))
(+.f64 1 (*.f64 1/2 (pow.f64 x 2)))
(+.f64 1 (*.f64 1/2 (pow.f64 x 2)))
(*.f64 1/2 (pow.f64 x 2))
(+.f64 1 (*.f64 1/2 (pow.f64 x 2)))
(+.f64 1 (*.f64 1/2 (pow.f64 x 2)))
(+.f64 1 (*.f64 1/2 (pow.f64 x 2)))

Outputs
(/.f64 (.f64 (+.f64 1 (.f64 1/2 (pow.f64 x 2))) y) (*.f64 z x))
(.f64 (/.f64 (+.f64 1 (.f64 1/2 (*.f64 x x))) z) (/.f64 y x))
(.f64 (/.f64 y z) (/.f64 (fma.f64 1/2 (.f64 x x) 1) x))
(.f64 y (/.f64 (fma.f64 1/2 (.f64 x x) 1) (*.f64 x z)))
(.f64 (fma.f64 1/2 (.f64 x x) 1) (/.f64 y (*.f64 x z)))
(.f64 (fma.f64 1/2 (.f64 x x) 1) (/.f64 (/.f64 y z) x))
(/.f64 (.f64 (+.f64 1 (.f64 1/2 (pow.f64 x 2))) y) (*.f64 z x))
(.f64 (/.f64 (+.f64 1 (.f64 1/2 (*.f64 x x))) z) (/.f64 y x))
(.f64 (/.f64 y z) (/.f64 (fma.f64 1/2 (.f64 x x) 1) x))
(.f64 y (/.f64 (fma.f64 1/2 (.f64 x x) 1) (*.f64 x z)))
(.f64 (fma.f64 1/2 (.f64 x x) 1) (/.f64 y (*.f64 x z)))
(.f64 (fma.f64 1/2 (.f64 x x) 1) (/.f64 (/.f64 y z) x))
(/.f64 (.f64 (+.f64 1 (.f64 1/2 (pow.f64 x 2))) y) (*.f64 z x))
(.f64 (/.f64 (+.f64 1 (.f64 1/2 (*.f64 x x))) z) (/.f64 y x))
(.f64 (/.f64 y z) (/.f64 (fma.f64 1/2 (.f64 x x) 1) x))
(.f64 y (/.f64 (fma.f64 1/2 (.f64 x x) 1) (*.f64 x z)))
(.f64 (fma.f64 1/2 (.f64 x x) 1) (/.f64 y (*.f64 x z)))
(.f64 (fma.f64 1/2 (.f64 x x) 1) (/.f64 (/.f64 y z) x))
(/.f64 (.f64 (+.f64 1 (.f64 1/2 (pow.f64 x 2))) y) (*.f64 z x))
(.f64 (/.f64 (+.f64 1 (.f64 1/2 (*.f64 x x))) z) (/.f64 y x))
(.f64 (/.f64 y z) (/.f64 (fma.f64 1/2 (.f64 x x) 1) x))
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(.f64 y (/.f64 (fma.f64 1/2 (.f64 x x) 1) z))
(.f64 (fma.f64 1/2 (.f64 x x) 1) (/.f64 y z))
(/.f64 (.f64 (+.f64 1 (.f64 1/2 (pow.f64 x 2))) y) z)
(/.f64 (+.f64 1 (.f64 1/2 (.f64 x x))) (/.f64 z y))
(.f64 (/.f64 (fma.f64 1/2 (.f64 x x) 1) z) y)
(.f64 y (/.f64 (fma.f64 1/2 (.f64 x x) 1) z))
(.f64 (fma.f64 1/2 (.f64 x x) 1) (/.f64 y z))
(/.f64 (.f64 (+.f64 1 (.f64 1/2 (pow.f64 x 2))) y) z)
(/.f64 (+.f64 1 (.f64 1/2 (.f64 x x))) (/.f64 z y))
(.f64 (/.f64 (fma.f64 1/2 (.f64 x x) 1) z) y)
(.f64 y (/.f64 (fma.f64 1/2 (.f64 x x) 1) z))
(.f64 (fma.f64 1/2 (.f64 x x) 1) (/.f64 y z))
(/.f64 (.f64 (+.f64 1 (.f64 1/2 (pow.f64 x 2))) y) z)
(/.f64 (+.f64 1 (.f64 1/2 (.f64 x x))) (/.f64 z y))
(.f64 (/.f64 (fma.f64 1/2 (.f64 x x) 1) z) y)
(.f64 y (/.f64 (fma.f64 1/2 (.f64 x x) 1) z))
(.f64 (fma.f64 1/2 (.f64 x x) 1) (/.f64 y z))
(/.f64 (.f64 (+.f64 1 (.f64 1/2 (pow.f64 x 2))) y) z)
(/.f64 (+.f64 1 (.f64 1/2 (.f64 x x))) (/.f64 z y))
(.f64 (/.f64 (fma.f64 1/2 (.f64 x x) 1) z) y)
(.f64 y (/.f64 (fma.f64 1/2 (.f64 x x) 1) z))
(.f64 (fma.f64 1/2 (.f64 x x) 1) (/.f64 y z))
(/.f64 (.f64 (+.f64 1 (.f64 1/2 (pow.f64 x 2))) y) z)
(/.f64 (+.f64 1 (.f64 1/2 (.f64 x x))) (/.f64 z y))
(.f64 (/.f64 (fma.f64 1/2 (.f64 x x) 1) z) y)
(.f64 y (/.f64 (fma.f64 1/2 (.f64 x x) 1) z))
(.f64 (fma.f64 1/2 (.f64 x x) 1) (/.f64 y z))
(/.f64 (.f64 (+.f64 1 (.f64 1/2 (pow.f64 x 2))) y) z)
(/.f64 (+.f64 1 (.f64 1/2 (.f64 x x))) (/.f64 z y))
(.f64 (/.f64 (fma.f64 1/2 (.f64 x x) 1) z) y)
(.f64 y (/.f64 (fma.f64 1/2 (.f64 x x) 1) z))
(.f64 (fma.f64 1/2 (.f64 x x) 1) (/.f64 y z))
(/.f64 (.f64 (+.f64 1 (.f64 1/2 (pow.f64 x 2))) y) z)
(/.f64 (+.f64 1 (.f64 1/2 (.f64 x x))) (/.f64 z y))
(.f64 (/.f64 (fma.f64 1/2 (.f64 x x) 1) z) y)
(.f64 y (/.f64 (fma.f64 1/2 (.f64 x x) 1) z))
(.f64 (fma.f64 1/2 (.f64 x x) 1) (/.f64 y z))
(/.f64 (.f64 (+.f64 1 (.f64 1/2 (pow.f64 x 2))) y) z)
(/.f64 (+.f64 1 (.f64 1/2 (.f64 x x))) (/.f64 z y))
(.f64 (/.f64 (fma.f64 1/2 (.f64 x x) 1) z) y)
(.f64 y (/.f64 (fma.f64 1/2 (.f64 x x) 1) z))
(.f64 (fma.f64 1/2 (.f64 x x) 1) (/.f64 y z))
(/.f64 (.f64 (+.f64 1 (.f64 1/2 (pow.f64 x 2))) y) z)
(/.f64 (+.f64 1 (.f64 1/2 (.f64 x x))) (/.f64 z y))
(.f64 (/.f64 (fma.f64 1/2 (.f64 x x) 1) z) y)
(.f64 y (/.f64 (fma.f64 1/2 (.f64 x x) 1) z))
(.f64 (fma.f64 1/2 (.f64 x x) 1) (/.f64 y z))
(/.f64 (.f64 (+.f64 1 (.f64 1/2 (pow.f64 x 2))) y) z)
(/.f64 (+.f64 1 (.f64 1/2 (.f64 x x))) (/.f64 z y))
(.f64 (/.f64 (fma.f64 1/2 (.f64 x x) 1) z) y)
(.f64 y (/.f64 (fma.f64 1/2 (.f64 x x) 1) z))
(.f64 (fma.f64 1/2 (.f64 x x) 1) (/.f64 y z))
(/.f64 (.f64 (+.f64 1 (.f64 1/2 (pow.f64 x 2))) y) z)
(/.f64 (+.f64 1 (.f64 1/2 (.f64 x x))) (/.f64 z y))
(.f64 (/.f64 (fma.f64 1/2 (.f64 x x) 1) z) y)
(.f64 y (/.f64 (fma.f64 1/2 (.f64 x x) 1) z))
(.f64 (fma.f64 1/2 (.f64 x x) 1) (/.f64 y z))
(/.f64 (.f64 (+.f64 1 (.f64 1/2 (pow.f64 x 2))) y) z)
(/.f64 (+.f64 1 (.f64 1/2 (.f64 x x))) (/.f64 z y))
(.f64 (/.f64 (fma.f64 1/2 (.f64 x x) 1) z) y)
(.f64 y (/.f64 (fma.f64 1/2 (.f64 x x) 1) z))
(.f64 (fma.f64 1/2 (.f64 x x) 1) (/.f64 y z))
(/.f64 (.f64 (+.f64 1 (.f64 1/2 (pow.f64 x 2))) y) z)
(/.f64 (+.f64 1 (.f64 1/2 (.f64 x x))) (/.f64 z y))
(.f64 (/.f64 (fma.f64 1/2 (.f64 x x) 1) z) y)
(.f64 y (/.f64 (fma.f64 1/2 (.f64 x x) 1) z))
(.f64 (fma.f64 1/2 (.f64 x x) 1) (/.f64 y z))
(/.f64 (.f64 (+.f64 1 (.f64 1/2 (pow.f64 x 2))) y) z)
(/.f64 (+.f64 1 (.f64 1/2 (.f64 x x))) (/.f64 z y))
(.f64 (/.f64 (fma.f64 1/2 (.f64 x x) 1) z) y)
(.f64 y (/.f64 (fma.f64 1/2 (.f64 x x) 1) z))
(.f64 (fma.f64 1/2 (.f64 x x) 1) (/.f64 y z))
(/.f64 y z)
(+.f64 (.f64 1/2 (/.f64 (.f64 y (pow.f64 x 2)) z)) (/.f64 y z))
(/.f64 (+.f64 1 (.f64 1/2 (.f64 x x))) (/.f64 z y))
(.f64 (/.f64 (fma.f64 1/2 (.f64 x x) 1) z) y)
(.f64 y (/.f64 (fma.f64 1/2 (.f64 x x) 1) z))
(.f64 (fma.f64 1/2 (.f64 x x) 1) (/.f64 y z))
(+.f64 (.f64 1/2 (/.f64 (.f64 y (pow.f64 x 2)) z)) (/.f64 y z))
(/.f64 (+.f64 1 (.f64 1/2 (.f64 x x))) (/.f64 z y))
(.f64 (/.f64 (fma.f64 1/2 (.f64 x x) 1) z) y)
(.f64 y (/.f64 (fma.f64 1/2 (.f64 x x) 1) z))
(.f64 (fma.f64 1/2 (.f64 x x) 1) (/.f64 y z))
(+.f64 (.f64 1/2 (/.f64 (.f64 y (pow.f64 x 2)) z)) (/.f64 y z))
(/.f64 (+.f64 1 (.f64 1/2 (.f64 x x))) (/.f64 z y))
(.f64 (/.f64 (fma.f64 1/2 (.f64 x x) 1) z) y)
(.f64 y (/.f64 (fma.f64 1/2 (.f64 x x) 1) z))
(.f64 (fma.f64 1/2 (.f64 x x) 1) (/.f64 y z))
(.f64 1/2 (/.f64 (.f64 y (pow.f64 x 2)) z))
(.f64 1/2 (/.f64 y (/.f64 z (.f64 x x))))
(.f64 1/2 (.f64 (/.f64 y z) (*.f64 x x)))
(.f64 1/2 (.f64 (*.f64 x x) (/.f64 y z)))
(.f64 1/2 (.f64 x (/.f64 y (/.f64 z x))))
(+.f64 (/.f64 y z) (.f64 1/2 (/.f64 (.f64 y (pow.f64 x 2)) z)))
(/.f64 (+.f64 1 (.f64 1/2 (.f64 x x))) (/.f64 z y))
(.f64 (/.f64 (fma.f64 1/2 (.f64 x x) 1) z) y)
(.f64 y (/.f64 (fma.f64 1/2 (.f64 x x) 1) z))
(.f64 (fma.f64 1/2 (.f64 x x) 1) (/.f64 y z))
(+.f64 (/.f64 y z) (.f64 1/2 (/.f64 (.f64 y (pow.f64 x 2)) z)))
(/.f64 (+.f64 1 (.f64 1/2 (.f64 x x))) (/.f64 z y))
(.f64 (/.f64 (fma.f64 1/2 (.f64 x x) 1) z) y)
(.f64 y (/.f64 (fma.f64 1/2 (.f64 x x) 1) z))
(.f64 (fma.f64 1/2 (.f64 x x) 1) (/.f64 y z))
(+.f64 (/.f64 y z) (.f64 1/2 (/.f64 (.f64 y (pow.f64 x 2)) z)))
(/.f64 (+.f64 1 (.f64 1/2 (.f64 x x))) (/.f64 z y))
(.f64 (/.f64 (fma.f64 1/2 (.f64 x x) 1) z) y)
(.f64 y (/.f64 (fma.f64 1/2 (.f64 x x) 1) z))
(.f64 (fma.f64 1/2 (.f64 x x) 1) (/.f64 y z))
(.f64 1/2 (/.f64 (.f64 y (pow.f64 x 2)) z))
(.f64 1/2 (/.f64 y (/.f64 z (.f64 x x))))
(.f64 1/2 (.f64 (/.f64 y z) (*.f64 x x)))
(.f64 1/2 (.f64 (*.f64 x x) (/.f64 y z)))
(.f64 1/2 (.f64 x (/.f64 y (/.f64 z x))))
(+.f64 (/.f64 y z) (.f64 1/2 (/.f64 (.f64 y (pow.f64 x 2)) z)))
(/.f64 (+.f64 1 (.f64 1/2 (.f64 x x))) (/.f64 z y))
(.f64 (/.f64 (fma.f64 1/2 (.f64 x x) 1) z) y)
(.f64 y (/.f64 (fma.f64 1/2 (.f64 x x) 1) z))
(.f64 (fma.f64 1/2 (.f64 x x) 1) (/.f64 y z))
(+.f64 (/.f64 y z) (.f64 1/2 (/.f64 (.f64 y (pow.f64 x 2)) z)))
(/.f64 (+.f64 1 (.f64 1/2 (.f64 x x))) (/.f64 z y))
(.f64 (/.f64 (fma.f64 1/2 (.f64 x x) 1) z) y)
(.f64 y (/.f64 (fma.f64 1/2 (.f64 x x) 1) z))
(.f64 (fma.f64 1/2 (.f64 x x) 1) (/.f64 y z))
(+.f64 (/.f64 y z) (.f64 1/2 (/.f64 (.f64 y (pow.f64 x 2)) z)))
(/.f64 (+.f64 1 (.f64 1/2 (.f64 x x))) (/.f64 z y))
(.f64 (/.f64 (fma.f64 1/2 (.f64 x x) 1) z) y)
(.f64 y (/.f64 (fma.f64 1/2 (.f64 x x) 1) z))
(.f64 (fma.f64 1/2 (.f64 x x) 1) (/.f64 y z))
(*.f64 1/2 (pow.f64 x 2))
(.f64 1/2 (.f64 x x))
(*.f64 1/2 (pow.f64 x 2))
(.f64 1/2 (.f64 x x))
(*.f64 1/2 (pow.f64 x 2))
(.f64 1/2 (.f64 x x))
(*.f64 1/2 (pow.f64 x 2))
(.f64 1/2 (.f64 x x))
(*.f64 1/2 (pow.f64 x 2))
(.f64 1/2 (.f64 x x))
(*.f64 1/2 (pow.f64 x 2))
(.f64 1/2 (.f64 x x))
(*.f64 1/2 (pow.f64 x 2))
(.f64 1/2 (.f64 x x))
(*.f64 1/2 (pow.f64 x 2))
(.f64 1/2 (.f64 x x))
(*.f64 1/2 (pow.f64 x 2))
(.f64 1/2 (.f64 x x))
(*.f64 1/2 (pow.f64 x 2))
(.f64 1/2 (.f64 x x))
(*.f64 1/2 (pow.f64 x 2))
(.f64 1/2 (.f64 x x))
(*.f64 1/2 (pow.f64 x 2))
(.f64 1/2 (.f64 x x))
1
(+.f64 1 (*.f64 1/2 (pow.f64 x 2)))
(+.f64 1 (.f64 1/2 (.f64 x x)))
(fma.f64 1/2 (*.f64 x x) 1)
(+.f64 1 (*.f64 1/2 (pow.f64 x 2)))
(+.f64 1 (.f64 1/2 (.f64 x x)))
(fma.f64 1/2 (*.f64 x x) 1)
(+.f64 1 (*.f64 1/2 (pow.f64 x 2)))
(+.f64 1 (.f64 1/2 (.f64 x x)))
(fma.f64 1/2 (*.f64 x x) 1)
(*.f64 1/2 (pow.f64 x 2))
(.f64 1/2 (.f64 x x))
(+.f64 1 (*.f64 1/2 (pow.f64 x 2)))
(+.f64 1 (.f64 1/2 (.f64 x x)))
(fma.f64 1/2 (*.f64 x x) 1)
(+.f64 1 (*.f64 1/2 (pow.f64 x 2)))
(+.f64 1 (.f64 1/2 (.f64 x x)))
(fma.f64 1/2 (*.f64 x x) 1)
(+.f64 1 (*.f64 1/2 (pow.f64 x 2)))
(+.f64 1 (.f64 1/2 (.f64 x x)))
(fma.f64 1/2 (*.f64 x x) 1)
(*.f64 1/2 (pow.f64 x 2))
(.f64 1/2 (.f64 x x))
(+.f64 1 (*.f64 1/2 (pow.f64 x 2)))
(+.f64 1 (.f64 1/2 (.f64 x x)))
(fma.f64 1/2 (*.f64 x x) 1)
(+.f64 1 (*.f64 1/2 (pow.f64 x 2)))
(+.f64 1 (.f64 1/2 (.f64 x x)))
(fma.f64 1/2 (*.f64 x x) 1)
(+.f64 1 (*.f64 1/2 (pow.f64 x 2)))
(+.f64 1 (.f64 1/2 (.f64 x x)))
(fma.f64 1/2 (*.f64 x x) 1)

eval308.0ms (2.6%)

Compiler: Compiled 11148 to 5111 computations (54.2% saved)

prune182.0ms (1.5%)

Pruning

25 alts after pruning (14 fresh and 11 done)

	Pruned	Kept	Total
New	744	7	751
Fresh	5	7	12
Picked	1	0	1
Done	1	11	12
Total	751	25	776

Error

Counts

776 → 25

Alt Table

Click to see full alt table

Status	Error	Program
✓	9.9b	(*.f64 (/.f64 y z) (/.f64 1 x))
	7.6b	(/.f64 y (/.f64 x (/.f64 1 z)))
✓	9.8b	(/.f64 (/.f64 y z) x)
✓	7.9b	(/.f64 (*.f64 y (/.f64 (cosh.f64 x) z)) x)
	8.7b	(/.f64 (.f64 (+.f64 (.f64 1/2 x) (/.f64 1 x)) y) z)
✓	8.6b	(/.f64 (+.f64 (/.f64 y x) (.f64 1/2 (.f64 y x))) z)
	10.8b	(/.f64 (/.f64 1 x) (/.f64 z y))
	10.8b	(/.f64 1 (*.f64 (/.f64 z y) x))
✓	7.9b	(/.f64 (.f64 y (.f64 (/.f64 1 z) (cosh.f64 x))) x)
✓	7.7b	(/.f64 1 (/.f64 (*.f64 z x) y))
	9.3b	(/.f64 (*.f64 y (/.f64 1 x)) z)
	6.9b	(+.f64 (/.f64 y (.f64 z x)) (.f64 (/.f64 y z) (*.f64 x 1/2)))
	9.3b	(*.f64 (/.f64 y x) (/.f64 1 z))
	9.9b	(/.f64 (*.f64 y (/.f64 1 z)) x)
✓	7.5b	(/.f64 y (*.f64 z x))
	8.8b	(/.f64 (/.f64 1 (/.f64 z (*.f64 y (cosh.f64 x)))) x)
	9.1b	(/.f64 1 (.f64 z (.f64 x (pow.f64 y -1))))
	57.4b	(.f64 y (.f64 1/2 (/.f64 x z)))
	7.2b	(/.f64 (/.f64 y (/.f64 x (cosh.f64 x))) z)
✓	24.8b	(-.f64 (+.f64 1 (/.f64 (/.f64 y z) x)) 1)
✓	5.6b	(.f64 y (/.f64 (cosh.f64 x) (.f64 x z)))
✓	9.2b	(/.f64 (/.f64 y x) z)
	8.3b	(+.f64 (/.f64 (/.f64 y x) z) (.f64 (/.f64 y z) (+.f64 (.f64 (.f64 1/24 (.f64 x x)) x) (*.f64 1/2 x))))
	7.1b	(.f64 y (.f64 (+.f64 (*.f64 1/2 x) (/.f64 1 x)) (/.f64 1 z)))
✓	9.2b	(.f64 (/.f64 y z) (+.f64 (.f64 x 1/2) (/.f64 1 x)))

Compiler

Compiled 295 to 201 computations (31.9% saved)

regimes500.0ms (4.1%)

Counts

53 → 3

Calls

Call 1

Inputs
(/.f64 (/.f64 y z) x)
(/.f64 (/.f64 y z) x)
(/.f64 (/.f64 y x) z)
(/.f64 (/.f64 y x) z)
(/.f64 y (*.f64 z x))
(/.f64 y (/.f64 x (/.f64 1 z)))
(/.f64 (/.f64 1 x) (/.f64 z y))
(/.f64 1 (*.f64 (/.f64 z y) x))
(/.f64 (*.f64 y (/.f64 1 x)) z)
(/.f64 (/.f64 1 x) (/.f64 z y))
(/.f64 1 (/.f64 (*.f64 z x) y))
(*.f64 (/.f64 y x) (/.f64 1 z))
(/.f64 (*.f64 y (/.f64 1 z)) x)
(/.f64 1 (*.f64 (/.f64 z y) x))
(/.f64 y (/.f64 x (/.f64 1 z)))
(.f64 (/.f64 1 (.f64 z x)) y)
(/.f64 (*.f64 y (/.f64 1 z)) x)
(.f64 y (.f64 1/2 (/.f64 x z)))
(*.f64 (/.f64 1 z) (/.f64 y x))
(*.f64 (/.f64 y z) (/.f64 1 x))
(*.f64 y (/.f64 (/.f64 1 z) x))
(.f64 y (/.f64 1 (.f64 z x)))
(/.f64 (*.f64 (/.f64 1 x) (neg.f64 y)) (neg.f64 z))
(-.f64 (+.f64 1 (/.f64 (/.f64 y z) x)) 1)
(-.f64 (+.f64 1 (/.f64 y (*.f64 z x))) 1)
(.f64 y (.f64 (/.f64 1 z) (/.f64 1 x)))
(/.f64 (.f64 (+.f64 (.f64 1/2 x) (/.f64 1 x)) y) z)
(/.f64 (+.f64 (/.f64 y x) (.f64 1/2 (.f64 y x))) z)
(.f64 (/.f64 y z) (+.f64 (.f64 x 1/2) (/.f64 1 x)))
(.f64 y (.f64 (+.f64 (*.f64 1/2 x) (/.f64 1 x)) (/.f64 1 z)))
(/.f64 (.f64 (/.f64 y z) (+.f64 1 (.f64 1/2 (*.f64 x x)))) x)
(+.f64 (/.f64 y (.f64 z x)) (.f64 (/.f64 y z) (*.f64 x 1/2)))
(.f64 y (+.f64 (/.f64 1 (.f64 z x)) (*.f64 1/2 (/.f64 x z))))
(+.f64 (/.f64 (/.f64 y x) z) (.f64 (/.f64 y z) (+.f64 (.f64 (.f64 1/24 (.f64 x x)) x) (*.f64 1/2 x))))
(/.f64 (/.f64 y (/.f64 x (cosh.f64 x))) z)
(.f64 y (/.f64 (cosh.f64 x) (.f64 x z)))
(/.f64 (*.f64 y (/.f64 (cosh.f64 x) z)) x)
(*.f64 (/.f64 (cosh.f64 x) z) (/.f64 y x))
(/.f64 (/.f64 (cosh.f64 x) (/.f64 x y)) z)
(*.f64 y (/.f64 (/.f64 (cosh.f64 x) z) x))
(/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z)
(/.f64 1 (.f64 z (.f64 x (pow.f64 y -1))))
(.f64 y (.f64 (/.f64 (cosh.f64 x) x) (/.f64 1 z)))
(/.f64 (fma.f64 x 1/2 (/.f64 1 x)) (/.f64 z y))
(/.f64 (.f64 y (.f64 (/.f64 1 z) (cosh.f64 x))) x)
(/.f64 (/.f64 1 (/.f64 z (*.f64 y (cosh.f64 x)))) x)
(.f64 y (.f64 (/.f64 (cosh.f64 x) z) (/.f64 1 x)))
(.f64 (/.f64 y x) (.f64 (cosh.f64 x) (/.f64 1 z)))
(*.f64 (/.f64 (cosh.f64 x) 1) (/.f64 (/.f64 y x) z))
(+.f64 (/.f64 (/.f64 y x) z) (.f64 (/.f64 y z) (.f64 x (fma.f64 1/24 (*.f64 x x) 1/2))))
(/.f64 (.f64 (/.f64 y z) (-.f64 (.f64 (.f64 x x) 1/4) (pow.f64 x -2))) (-.f64 (.f64 x 1/2) (/.f64 1 x)))
(/.f64 (pow.f64 (sqrt.f64 (*.f64 (cosh.f64 x) (/.f64 y x))) 2) z)
(pow.f64 (cbrt.f64 (/.f64 (*.f64 y (/.f64 (cosh.f64 x) z)) x)) 3)

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

Calls

6 calls:

102.0ms	(*.f64 (cosh.f64 x) (/.f64 y x))
79.0ms	z
79.0ms	x
76.0ms	y
72.0ms	(*.f64 (cosh.f64 x) (/.f64 y x))

Results

Error	Segments	Branch
4.0b	2	`x`
0.3b	3	`y`
0.3b	3	`z`
0.2b	3	`(/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z)`
0.2b	3	`(*.f64 (cosh.f64 x) (/.f64 y x))`
0.2b	3	`(*.f64 (cosh.f64 x) (/.f64 y x))`

Compiler

Compiled 526 to 247 computations (53% saved)

bsearch1.0ms (0%)

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	4.48990735193944e+290	2.805734596639655e+292
0.0ms	-9.628543186549502e+234	-8.492020466548847e+233

Compiler

Compiled 17 to 12 computations (29.4% saved)

regimes248.0ms (2.1%)

Counts

34 → 3

Calls

Call 1

Inputs
(/.f64 (/.f64 y z) x)
(/.f64 (/.f64 y z) x)
(/.f64 (/.f64 y x) z)
(/.f64 (/.f64 y x) z)
(/.f64 y (*.f64 z x))
(/.f64 y (/.f64 x (/.f64 1 z)))
(/.f64 (/.f64 1 x) (/.f64 z y))
(/.f64 1 (*.f64 (/.f64 z y) x))
(/.f64 (*.f64 y (/.f64 1 x)) z)
(/.f64 (/.f64 1 x) (/.f64 z y))
(/.f64 1 (/.f64 (*.f64 z x) y))
(*.f64 (/.f64 y x) (/.f64 1 z))
(/.f64 (*.f64 y (/.f64 1 z)) x)
(/.f64 1 (*.f64 (/.f64 z y) x))
(/.f64 y (/.f64 x (/.f64 1 z)))
(.f64 (/.f64 1 (.f64 z x)) y)
(/.f64 (*.f64 y (/.f64 1 z)) x)
(.f64 y (.f64 1/2 (/.f64 x z)))
(*.f64 (/.f64 1 z) (/.f64 y x))
(*.f64 (/.f64 y z) (/.f64 1 x))
(*.f64 y (/.f64 (/.f64 1 z) x))
(.f64 y (/.f64 1 (.f64 z x)))
(/.f64 (*.f64 (/.f64 1 x) (neg.f64 y)) (neg.f64 z))
(-.f64 (+.f64 1 (/.f64 (/.f64 y z) x)) 1)
(-.f64 (+.f64 1 (/.f64 y (*.f64 z x))) 1)
(.f64 y (.f64 (/.f64 1 z) (/.f64 1 x)))
(/.f64 (.f64 (+.f64 (.f64 1/2 x) (/.f64 1 x)) y) z)
(/.f64 (+.f64 (/.f64 y x) (.f64 1/2 (.f64 y x))) z)
(.f64 (/.f64 y z) (+.f64 (.f64 x 1/2) (/.f64 1 x)))
(.f64 y (.f64 (+.f64 (*.f64 1/2 x) (/.f64 1 x)) (/.f64 1 z)))
(/.f64 (.f64 (/.f64 y z) (+.f64 1 (.f64 1/2 (*.f64 x x)))) x)
(+.f64 (/.f64 y (.f64 z x)) (.f64 (/.f64 y z) (*.f64 x 1/2)))
(.f64 y (+.f64 (/.f64 1 (.f64 z x)) (*.f64 1/2 (/.f64 x z))))
(+.f64 (/.f64 (/.f64 y x) z) (.f64 (/.f64 y z) (+.f64 (.f64 (.f64 1/24 (.f64 x x)) x) (*.f64 1/2 x))))

Outputs

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

(+.f64 (/.f64 (/.f64 y x) z) (*.f64 (/.f64 y z) (+.f64 (*.f64 (*.f64 1/24 (*.f64 x x)) x) (*.f64 1/2 x))))

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

Calls

3 calls:

98.0ms	x
95.0ms	z
46.0ms	y

Results

Error	Segments	Branch
5.2b	2	`x`
1.4b	3	`y`
1.4b	3	`z`

Compiler

Compiled 301 to 148 computations (50.8% saved)

bsearch24.0ms (0.2%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
9.0ms	2.846580195615782e+33	2.065964113793985e+34
15.0ms	-1.978242536895544e+28	-1.178955279658024e+23

Compiler

Compiled 101 to 67 computations (33.7% saved)

regimes321.0ms (2.7%)

Counts

33 → 3

Calls

Call 1

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

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

Calls

3 calls:

123.0ms	y
118.0ms	z
71.0ms	x

Results

Error	Segments	Branch
5.4b	2	`x`
1.6b	3	`y`
1.6b	3	`z`

Compiler

Compiled 280 to 140 computations (50% saved)

bsearch27.0ms (0.2%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
9.0ms	2.846580195615782e+33	2.065964113793985e+34
18.0ms	-116347.93974672453	-5.7740992407031053e-8

Compiler

Compiled 81 to 55 computations (32.1% saved)

regimes178.0ms (1.5%)

Counts

31 → 3

Calls

Call 1

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

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

Calls

3 calls:

78.0ms	y
46.0ms	z
41.0ms	x

Results

Error	Segments	Branch
5.5b	2	`x`
1.6b	3	`y`
1.7b	3	`z`

Compiler

Compiled 254 to 130 computations (48.8% saved)

bsearch164.0ms (1.4%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
151.0ms	2.846580195615782e+33	2.065964113793985e+34
13.0ms	-4.241096055942916e+19	-1251783393025.3787

Compiler

Compiled 79 to 55 computations (30.4% saved)

regimes136.0ms (1.1%)

Counts

30 → 3

Calls

Call 1

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

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

Calls

3 calls:

44.0ms	y
43.0ms	z
42.0ms	x

Results

Error	Segments	Branch
5.5b	2	`x`
1.6b	3	`y`
1.7b	3	`z`

Compiler

Compiled 241 to 123 computations (49% saved)

bsearch24.0ms (0.2%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
10.0ms	2.846580195615782e+33	2.065964113793985e+34
14.0ms	-4.241096055942916e+19	-1251783393025.3787

Compiler

Compiled 77 to 54 computations (29.9% saved)

regimes128.0ms (1.1%)

Counts

28 → 3

Calls

Call 1

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

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

Calls

3 calls:

44.0ms	y
39.0ms	z
38.0ms	x

Results

Error	Segments	Branch
5.6b	2	`x`
1.8b	3	`y`
1.9b	3	`z`

Compiler

Compiled 217 to 108 computations (50.2% saved)

bsearch36.0ms (0.3%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
22.0ms	4.970243963360491e-69	8.623145836746547e-68
14.0ms	-4.241096055942916e+19	-1251783393025.3787

Compiler

Compiled 43 to 30 computations (30.2% saved)

regimes116.0ms (1%)

Counts

27 → 3

Calls

Call 1

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

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

Calls

3 calls:

37.0ms	y
36.0ms	z
36.0ms	x

Results

Error	Segments	Branch
5.6b	2	`x`
1.9b	3	`y`
1.9b	3	`z`

Compiler

Compiled 206 to 103 computations (50% saved)

bsearch29.0ms (0.2%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
7.0ms	1.493756329660439e-80	4.3565991723487843e-69
21.0ms	-1.1545690469210094e+67	-1.4719747830261406e+63

Compiler

Compiled 41 to 29 computations (29.3% saved)

regimes123.0ms (1%)

Counts

26 → 3

Calls

Call 1

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

Outputs
(/.f64 (/.f64 1 x) (/.f64 z y))
(/.f64 (/.f64 y x) z)
(/.f64 (/.f64 1 x) (/.f64 z y))

Calls

3 calls:

49.0ms	z
34.0ms	y
33.0ms	x

Results

Error	Segments	Branch
6.0b	2	`x`
2.2b	3	`y`
2.2b	3	`z`

Compiler

Compiled 195 to 96 computations (50.8% saved)

bsearch35.0ms (0.3%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
20.0ms	4.970243963360491e-69	8.623145836746547e-68
14.0ms	-4.241096055942916e+19	-1251783393025.3787

Compiler

Compiled 37 to 26 computations (29.7% saved)

regimes42.0ms (0.3%)

Counts

6 → 3

Calls

Call 1

Inputs
(/.f64 (/.f64 y z) x)
(/.f64 (/.f64 y z) x)
(/.f64 (/.f64 y x) z)
(/.f64 (/.f64 y x) z)
(/.f64 y (*.f64 z x))
(/.f64 y (/.f64 x (/.f64 1 z)))

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

Calls

3 calls:

14.0ms	x
14.0ms	y
13.0ms	z

Results

Error	Segments	Branch
6.0b	2	`x`
2.3b	3	`y`
2.3b	3	`z`

Compiler

Compiled 47 to 22 computations (53.2% saved)

bsearch26.0ms (0.2%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
10.0ms	2.846580195615782e+33	2.065964113793985e+34
16.0ms	-116347.93974672453	-5.7740992407031053e-8

Compiler

Compiled 53 to 36 computations (32.1% saved)

regimes28.0ms (0.2%)

Counts

4 → 3

Calls

Call 1

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

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

Calls

3 calls:

11.0ms	y
8.0ms	x
7.0ms	z

Results

Error	Segments	Branch
7.5b	2	`x`
2.3b	3	`y`
7.4b	2	`z`

Compiler

Compiled 35 to 16 computations (54.3% saved)

bsearch24.0ms (0.2%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
10.0ms	2.846580195615782e+33	2.065964113793985e+34
14.0ms	-4.241096055942916e+19	-1251783393025.3787

Compiler

Compiled 53 to 36 computations (32.1% saved)

regimes11.0ms (0.1%)

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0.0b (0%)

Counts

2 → 1

Calls

Call 1

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

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

Calls

3 calls:

3.0ms	x
3.0ms	y
3.0ms	z

Results

Error	Segments	Branch
9.8b	1	`x`
9.8b	1	`y`
9.8b	1	`z`

Compiler

Compiled 25 to 14 computations (44% saved)

simplify17.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

14×	`*-commutative_binary64`
6×	`+-commutative_binary64`
1×	`1-exp_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	85	538
1	109	538

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(if (<=.f64 (/.f64 (.f64 (cosh.f64 x) (/.f64 y x)) z) -5000000000000000265830098313298245178016947287622550486678486493521945761146082797297502145674652454512860840906256046981475222569026826936584608154510201938349585198667111756724875341881416615617731891764574033605618465285179569078272) (/.f64 (/.f64 y z) x) (if (<=.f64 (/.f64 (.f64 (cosh.f64 x) (/.f64 y x)) z) 499999999999999978930451175173142066076775939048257141926258886614516577002786239313118268535951812574041306445493431857101228510021003209840763187482937088894311771724997242528629131330872974013383816137806524948480039480659075272709232330533995834790894142764502740352844098034426819117056) (/.f64 (/.f64 y (/.f64 x (cosh.f64 x))) z) (/.f64 (/.f64 1 x) (/.f64 z y))))
(if (<=.f64 y -10000000000000000905969664) (+.f64 (/.f64 y (.f64 z x)) (.f64 (/.f64 y z) (.f64 x 1/2))) (if (<=.f64 y 9999999999999999455752309870428160) (+.f64 (/.f64 (/.f64 y x) z) (.f64 (/.f64 y z) (+.f64 (.f64 (.f64 1/24 (.f64 x x)) x) (.f64 1/2 x)))) (/.f64 (.f64 (/.f64 y z) (+.f64 1 (.f64 1/2 (*.f64 x x)))) x)))
(if (<=.f64 y -1) (+.f64 (/.f64 y (.f64 z x)) (.f64 (/.f64 y z) (.f64 x 1/2))) (if (<=.f64 y 9999999999999999455752309870428160) (/.f64 (+.f64 (/.f64 y x) (.f64 1/2 (.f64 y x))) z) (/.f64 (.f64 (/.f64 y z) (+.f64 1 (.f64 1/2 (.f64 x x)))) x)))
(if (<=.f64 y -1000000000000000) (.f64 (/.f64 y z) (+.f64 (.f64 x 1/2) (/.f64 1 x))) (if (<=.f64 y 9999999999999999455752309870428160) (/.f64 (+.f64 (/.f64 y x) (.f64 1/2 (.f64 y x))) z) (/.f64 (.f64 (/.f64 y z) (+.f64 1 (.f64 1/2 (*.f64 x x)))) x)))
(if (<=.f64 y -1000000000000000) (.f64 (/.f64 y z) (+.f64 (.f64 x 1/2) (/.f64 1 x))) (if (<=.f64 y 9999999999999999455752309870428160) (/.f64 (+.f64 (/.f64 y x) (.f64 1/2 (.f64 y x))) z) (.f64 (/.f64 y z) (+.f64 (.f64 x 1/2) (/.f64 1 x)))))
(if (<=.f64 y -1000000000000000) (/.f64 (/.f64 1 x) (/.f64 z y)) (if (<=.f64 y 4827769167196571/971334446112864535459730953411759453321203419526069760625906204869452142602604249088) (/.f64 (+.f64 (/.f64 y x) (.f64 1/2 (.f64 y x))) z) (/.f64 (/.f64 1 x) (/.f64 z y))))
(if (<=.f64 z -11545690469210094294851918221188235872744809520338690902959444721664) (.f64 y (/.f64 (/.f64 1 z) x)) (if (<=.f64 z 6216540455122333/62165404551223330269422781018352605012557018849668464680057997111644937126566671941632) (/.f64 (.f64 (+.f64 (.f64 1/2 x) (/.f64 1 x)) y) z) (/.f64 y (.f64 z x))))
(if (<=.f64 y -1000000000000000) (/.f64 (/.f64 1 x) (/.f64 z y)) (if (<=.f64 y 4827769167196571/971334446112864535459730953411759453321203419526069760625906204869452142602604249088) (/.f64 (/.f64 y x) z) (/.f64 (/.f64 1 x) (/.f64 z y))))
(if (<=.f64 y -1) (/.f64 y (*.f64 z x)) (if (<=.f64 y 9999999999999999455752309870428160) (/.f64 (/.f64 y x) z) (/.f64 (/.f64 y z) x)))
(if (<=.f64 y -1000000000000000) (/.f64 (/.f64 y z) x) (if (<=.f64 y 9999999999999999455752309870428160) (/.f64 (/.f64 y x) z) (/.f64 (/.f64 y z) x)))
(/.f64 (/.f64 y z) x)

Outputs
(if (<=.f64 (/.f64 (.f64 (cosh.f64 x) (/.f64 y x)) z) -5000000000000000265830098313298245178016947287622550486678486493521945761146082797297502145674652454512860840906256046981475222569026826936584608154510201938349585198667111756724875341881416615617731891764574033605618465285179569078272) (/.f64 (/.f64 y z) x) (if (<=.f64 (/.f64 (.f64 (cosh.f64 x) (/.f64 y x)) z) 499999999999999978930451175173142066076775939048257141926258886614516577002786239313118268535951812574041306445493431857101228510021003209840763187482937088894311771724997242528629131330872974013383816137806524948480039480659075272709232330533995834790894142764502740352844098034426819117056) (/.f64 (/.f64 y (/.f64 x (cosh.f64 x))) z) (/.f64 (/.f64 1 x) (/.f64 z y))))
(if (<=.f64 y -10000000000000000905969664) (+.f64 (/.f64 y (.f64 z x)) (.f64 (/.f64 y z) (.f64 x 1/2))) (if (<=.f64 y 9999999999999999455752309870428160) (+.f64 (/.f64 (/.f64 y x) z) (.f64 (/.f64 y z) (+.f64 (.f64 (.f64 1/24 (.f64 x x)) x) (.f64 1/2 x)))) (/.f64 (.f64 (/.f64 y z) (+.f64 1 (.f64 1/2 (*.f64 x x)))) x)))
(if (<=.f64 y -10000000000000000905969664) (+.f64 (/.f64 y (.f64 x z)) (.f64 (/.f64 y z) (.f64 x 1/2))) (if (<=.f64 y 9999999999999999455752309870428160) (+.f64 (/.f64 (/.f64 y x) z) (.f64 (/.f64 y z) (+.f64 (.f64 x 1/2) (.f64 x (.f64 1/24 (.f64 x x)))))) (/.f64 (.f64 (/.f64 y z) (+.f64 1 (.f64 1/2 (*.f64 x x)))) x)))
(if (<=.f64 y -1) (+.f64 (/.f64 y (.f64 z x)) (.f64 (/.f64 y z) (.f64 x 1/2))) (if (<=.f64 y 9999999999999999455752309870428160) (/.f64 (+.f64 (/.f64 y x) (.f64 1/2 (.f64 y x))) z) (/.f64 (.f64 (/.f64 y z) (+.f64 1 (.f64 1/2 (.f64 x x)))) x)))
(if (<=.f64 y -1) (+.f64 (/.f64 y (.f64 x z)) (.f64 (/.f64 y z) (.f64 x 1/2))) (if (<=.f64 y 9999999999999999455752309870428160) (/.f64 (+.f64 (/.f64 y x) (.f64 1/2 (.f64 x y))) z) (/.f64 (.f64 (/.f64 y z) (+.f64 1 (.f64 1/2 (.f64 x x)))) x)))
(if (<=.f64 y -1000000000000000) (.f64 (/.f64 y z) (+.f64 (.f64 x 1/2) (/.f64 1 x))) (if (<=.f64 y 9999999999999999455752309870428160) (/.f64 (+.f64 (/.f64 y x) (.f64 1/2 (.f64 y x))) z) (/.f64 (.f64 (/.f64 y z) (+.f64 1 (.f64 1/2 (*.f64 x x)))) x)))
(if (<=.f64 y -1000000000000000) (.f64 (/.f64 y z) (+.f64 (/.f64 1 x) (.f64 x 1/2))) (if (<=.f64 y 9999999999999999455752309870428160) (/.f64 (+.f64 (/.f64 y x) (.f64 1/2 (.f64 x y))) z) (/.f64 (.f64 (/.f64 y z) (+.f64 1 (.f64 1/2 (*.f64 x x)))) x)))
(if (<=.f64 y -1000000000000000) (.f64 (/.f64 y z) (+.f64 (.f64 x 1/2) (/.f64 1 x))) (if (<=.f64 y 9999999999999999455752309870428160) (/.f64 (+.f64 (/.f64 y x) (.f64 1/2 (.f64 y x))) z) (.f64 (/.f64 y z) (+.f64 (.f64 x 1/2) (/.f64 1 x)))))
(if (<=.f64 y -1000000000000000) (.f64 (/.f64 y z) (+.f64 (/.f64 1 x) (.f64 x 1/2))) (if (<=.f64 y 9999999999999999455752309870428160) (/.f64 (+.f64 (/.f64 y x) (.f64 1/2 (.f64 x y))) z) (.f64 (/.f64 y z) (+.f64 (/.f64 1 x) (.f64 x 1/2)))))
(if (<=.f64 y -1000000000000000) (/.f64 (/.f64 1 x) (/.f64 z y)) (if (<=.f64 y 4827769167196571/971334446112864535459730953411759453321203419526069760625906204869452142602604249088) (/.f64 (+.f64 (/.f64 y x) (.f64 1/2 (.f64 y x))) z) (/.f64 (/.f64 1 x) (/.f64 z y))))
(if (<=.f64 y -1000000000000000) (/.f64 (/.f64 1 x) (/.f64 z y)) (if (<=.f64 y 4827769167196571/971334446112864535459730953411759453321203419526069760625906204869452142602604249088) (/.f64 (+.f64 (/.f64 y x) (.f64 1/2 (.f64 x y))) z) (/.f64 (/.f64 1 x) (/.f64 z y))))
(if (<=.f64 z -11545690469210094294851918221188235872744809520338690902959444721664) (.f64 y (/.f64 (/.f64 1 z) x)) (if (<=.f64 z 6216540455122333/62165404551223330269422781018352605012557018849668464680057997111644937126566671941632) (/.f64 (.f64 (+.f64 (.f64 1/2 x) (/.f64 1 x)) y) z) (/.f64 y (.f64 z x))))
(if (<=.f64 z -11545690469210094294851918221188235872744809520338690902959444721664) (.f64 y (/.f64 (/.f64 1 z) x)) (if (<=.f64 z 6216540455122333/62165404551223330269422781018352605012557018849668464680057997111644937126566671941632) (/.f64 (.f64 y (+.f64 (/.f64 1 x) (.f64 x 1/2))) z) (/.f64 y (.f64 x z))))
(if (<=.f64 y -1000000000000000) (/.f64 (/.f64 1 x) (/.f64 z y)) (if (<=.f64 y 4827769167196571/971334446112864535459730953411759453321203419526069760625906204869452142602604249088) (/.f64 (/.f64 y x) z) (/.f64 (/.f64 1 x) (/.f64 z y))))
(if (<=.f64 y -1) (/.f64 y (*.f64 z x)) (if (<=.f64 y 9999999999999999455752309870428160) (/.f64 (/.f64 y x) z) (/.f64 (/.f64 y z) x)))
(if (<=.f64 y -1) (/.f64 y (*.f64 x z)) (if (<=.f64 y 9999999999999999455752309870428160) (/.f64 (/.f64 y x) z) (/.f64 (/.f64 y z) x)))
(if (<=.f64 y -1000000000000000) (/.f64 (/.f64 y z) x) (if (<=.f64 y 9999999999999999455752309870428160) (/.f64 (/.f64 y x) z) (/.f64 (/.f64 y z) x)))
(/.f64 (/.f64 y z) x)

Compiler

Compiled 401 to 236 computations (41.1% saved)

soundness433.0ms (3.6%)

Algorithm

3×	egg-herbie

Rules

1052×	`fma-def_binary64`
1052×	`fma-def_binary64`
1052×	`fma-def_binary64`
419×	`distribute-rgt-in_binary64`
419×	`distribute-rgt-in_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	12
1	19	12
2	46	12
3	112	12
4	249	12
5	453	12
6	813	12
7	2345	12
8	3533	12
9	4756	12
10	5629	12
11	6266	12
0	8	12
1	19	12
2	46	12
3	112	12
4	249	12
5	453	12
6	813	12
7	2345	12
8	3533	12
9	4756	12
10	5629	12
11	6266	12
0	8	12
1	19	12
2	46	12
3	112	12
4	249	12
5	453	12
6	813	12
7	2345	12
8	3533	12
9	4756	12
10	5629	12
11	6266	12

Stop Event

1×	node limit
1×	node limit
1×	node limit

Compiler

Compiled 165 to 105 computations (36.4% saved)

end151.0ms (1.3%)

Compiler: Compiled 371 to 172 computations (53.6% saved)