Details

analyze304.0ms (3%)

Algorithm

1×

Search

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

Compiler

Compiled 12 to 8 computations (33.3% saved)

sample2.9s (28.9%)

Results

1.6s	10897×	body	256	invalid
1.3s	8256×	body	256	valid

preprocess86.0ms (0.8%)

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)

simplify77.0ms (0.8%)

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
▶	6.3b	(*.f64 y (/.f64 (/.f64 (cosh.f64 x) z) x))
▶	6.2b	(/.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 3 expressions with local error:

New	Error	Program
✓	0.0b	(/.f64 (cosh.f64 x) z)
✓	0.3b	(/.f64 (/.f64 (cosh.f64 x) z) x)
✓	5.9b	(*.f64 y (/.f64 (/.f64 (cosh.f64 x) z) x))

Compiler

Compiled 26 to 7 computations (73.1% saved)

series73.0ms (0.7%)

Counts

3 → 84

Calls

21 calls:

Time	Variable		Point	Expression
39.0ms	x	@	0	(*.f64 y (/.f64 (/.f64 (cosh.f64 x) z) x))
5.0ms	z	@	0	(*.f64 y (/.f64 (/.f64 (cosh.f64 x) z) x))
4.0ms	x	@	-inf	(*.f64 y (/.f64 (/.f64 (cosh.f64 x) z) x))
3.0ms	x	@	inf	(*.f64 y (/.f64 (/.f64 (cosh.f64 x) z) x))
3.0ms	x	@	-inf	(/.f64 (cosh.f64 x) z)

rewrite94.0ms (0.9%)

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	27
1	176	27
2	2574	27

Stop Event

1×	node limit

Counts

3 → 157

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)

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 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Outputs

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

simplify82.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

579×	`times-frac_binary64`
546×	`associate-l_binary64`
527×	`associate-*r/_binary64`
513×	`associate-r_binary64`
492×	`unswap-sqr_binary64`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	67	1668
1	181	1664
2	474	1586
3	1305	1580
4	4893	1576

Stop Event

1×	node limit

Counts

241 → 186

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)))
(/.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))))
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(*.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))
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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 1/2 (/.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))
(*.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))

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

localize10.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(*.f64 (cosh.f64 x) (/.f64 y x))
✓	5.8b	(/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z)

Compiler

Compiled 25 to 7 computations (72% saved)

series6.0ms (0.1%)

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)

rewrite86.0ms (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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x) (/.f64 y x))) 2) (sqrt.f64 z)) (/.f64 (cbrt.f64 (.f64 (cosh.f64 x) (/.f64 y x))) (sqrt.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (.f64 (cosh.f64 x) y) (.f64 z x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (.f64 (cosh.f64 x) y) (.f64 z x)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (.f64 (cosh.f64 x) y) (.f64 z x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (.f64 (cosh.f64 x) y) (.f64 z x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (.f64 (cosh.f64 x) y) (.f64 z x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 (/.f64 x y) (/.f64 z (cosh.f64 x))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 1) (log.f64 (/.f64 (.f64 (cosh.f64 x) y) (.f64 z x))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (pow.f64 (.f64 (cosh.f64 x) (/.f64 y x)) 3) (pow.f64 z 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (.f64 (/.f64 x y) (/.f64 z (cosh.f64 x))) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x 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))))) 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Outputs

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(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)))))))

simplify155.0ms (1.5%)

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

eval164.0ms (1.6%)

Compiler: Compiled 4270 to 1592 computations (62.7% saved)

prune76.0ms (0.7%)

Pruning

11 alts after pruning (10 fresh and 1 done)

	Pruned	Kept	Total
New	299	10	309
Fresh	0	0	0
Picked	0	1	1
Done	1	0	1
Total	300	11	311

Error

0.0b

Counts

311 → 11

Alt Table

Click to see full alt table

Status	Error	Program
	37.0b	(.f64 (sqrt.f64 (.f64 (cosh.f64 x) (/.f64 y x))) (.f64 (sqrt.f64 (.f64 (cosh.f64 x) (/.f64 y x))) (/.f64 1 z)))
▶	6.8b	(/.f64 y (*.f64 z x))
	7.7b	(*.f64 y (/.f64 (/.f64 1 z) x))
	7.3b	(/.f64 (+.f64 (/.f64 y x) (.f64 1/2 (.f64 y x))) z)
	9.0b	(/.f64 1 (/.f64 x (*.f64 y (/.f64 (cosh.f64 x) z))))
▶	6.3b	(*.f64 (/.f64 (cosh.f64 x) z) (/.f64 y x))
✓	6.2b	(/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z)
▶	9.9b	(.f64 (/.f64 y z) (+.f64 (.f64 x 1/2) (/.f64 1 x)))
▶	7.7b	(*.f64 y (/.f64 (/.f64 1 x) z))
▶	6.3b	(+.f64 (/.f64 y (.f64 x z)) (.f64 y (.f64 (/.f64 x z) (+.f64 (.f64 x (*.f64 x 1/24)) 1/2))))
	7.6b	(/.f64 (/.f64 y x) z)

Compiler

Compiled 275 to 175 computations (36.4% saved)

localize9.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
	0.0b	(/.f64 (cosh.f64 x) z)
✓	5.9b	(*.f64 (/.f64 (cosh.f64 x) z) (/.f64 y x))

Compiler

Compiled 23 to 7 computations (69.6% saved)

series3.0ms (0%)

Counts

1 → 36

Calls

9 calls:

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

rewrite66.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

530×	`log-prod_binary64`
396×	`exp-prod_binary64`
386×	`pow-prod-down_binary64`
257×	`pow2_binary64`
188×	`pow-unpow_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	12
1	179	12
2	2688	12

Stop Event

1×	node limit

Counts

1 → 72

Calls

Call 1

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

Outputs

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

simplify150.0ms (1.5%)

Algorithm

1×	egg-herbie

Rules

806×	`fma-neg_binary64`
755×	`fma-def_binary64`
686×	`unswap-sqr_binary64`
509×	`associate-/l*_binary64`
345×	`associate-/r*_binary64`

Iterations

Useful iterations: 5 (0.0ms)

Iter	Nodes	Cost
0	35	807
1	97	805
2	259	803
3	719	765
4	1933	755
5	4678	750
6	5105	750
7	6116	750
8	7974	750

Stop Event

1×	node limit

Counts

108 → 82

Calls

Call 1

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

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

localize6.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	5.1b	(/.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))

rewrite59.0ms (0.6%)

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))))))))

simplify7.0ms (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

localize11.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.2b	(/.f64 (/.f64 1 x) z)
✓	5.9b	(*.f64 y (/.f64 (/.f64 1 x) z))

Compiler

Compiled 22 to 13 computations (40.9% saved)

series9.0ms (0.1%)

Counts

2 → 60

Calls

15 calls:

Time	Variable		Point	Expression
4.0ms	x	@	-inf	(/.f64 (/.f64 1 x) z)
1.0ms	z	@	0	(/.f64 (/.f64 1 x) z)
0.0ms	x	@	0	(/.f64 (/.f64 1 x) z)
0.0ms	z	@	-inf	(/.f64 (/.f64 1 x) z)
0.0ms	x	@	inf	(/.f64 (/.f64 1 x) z)

rewrite75.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

838×	`pow1_binary64`
773×	`add-log-exp_binary64`
773×	`log1p-expm1-u_binary64`
773×	`expm1-log1p-u_binary64`
754×	`add-exp-log_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	8	17
1	166	14
2	2171	14

Stop Event

1×	node limit

Counts

2 → 53

Calls

Call 1

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

Outputs

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

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

simplify13.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

4×	`associate-/r*_binary64`
1×	`*-commutative_binary64`
1×	`1-exp_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	420
1	15	420
2	19	420

Stop Event

1×

saturated

Counts

113 → 56

Calls

Call 1

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

localize15.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 (*.f64 x 1/2) (/.f64 1 x))
✓	8.9b	(.f64 (/.f64 y z) (+.f64 (.f64 x 1/2) (/.f64 1 x)))

Compiler

Compiled 35 to 21 computations (40% saved)

series8.0ms (0.1%)

Counts

2 → 48

Calls

12 calls:

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

rewrite81.0ms (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

((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (/.f64 y z) (fma.f64 x 1/2 (/.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 y z) (*.f64 x 1/2)) (/.f64 y (*.f64 z x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 y (*.f64 z x)) (*.f64 (/.f64 y z) (*.f64 x 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 (/.f64 y z) (*.f64 x 1/2)) 1) (*.f64 (/.f64 y (*.f64 z x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (/.f64 y z)) (fma.f64 x 1/2 (/.f64 1 x)))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (/.f64 y z)) (fma.f64 x 1/2 (/.f64 1 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (/.f64 y z)) (fma.f64 x 1/2 (/.f64 1 x))))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (/.f64 y z)) (fma.f64 x 1/2 (/.f64 1 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (/.f64 y z) (fma.f64 x 1/2 (/.f64 1 x))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 y (/.f64 z (fma.f64 x 1/2 (/.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 z (*.f64 y (fma.f64 x 1/2 (/.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 x 1/2 (/.f64 1 x)) (/.f64 z y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 (pow.f64 x 3) 1/8 (pow.f64 x -3)) (*.f64 (/.f64 z y) (-.f64 (fma.f64 (*.f64 x x) 1/4 (pow.f64 x -2)) (/.f64 (*.f64 x 1/2) x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (*.f64 x x) 1/4) (pow.f64 x -2)) (*.f64 (/.f64 z y) (-.f64 (*.f64 x 1/2) (/.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 y (fma.f64 x 1/2 (/.f64 1 x))) z)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 y (fma.f64 x 1/2 (/.f64 1 x)))) (neg.f64 z))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 y (fma.f64 (pow.f64 x 3) 1/8 (pow.f64 x -3))) (*.f64 z (-.f64 (fma.f64 (*.f64 x x) 1/4 (pow.f64 x -2)) (/.f64 (*.f64 x 1/2) x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 y) (fma.f64 (pow.f64 x 3) 1/8 (pow.f64 x -3))) (*.f64 (neg.f64 z) (-.f64 (fma.f64 (*.f64 x x) 1/4 (pow.f64 x -2)) (/.f64 (*.f64 x 1/2) x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 y (-.f64 (*.f64 (*.f64 x x) 1/4) (pow.f64 x -2))) (*.f64 z (-.f64 (*.f64 x 1/2) (/.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 y) (-.f64 (*.f64 (*.f64 x x) 1/4) (pow.f64 x -2))) (*.f64 (neg.f64 z) (-.f64 (*.f64 x 1/2) (/.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (fma.f64 (pow.f64 x 3) 1/8 (pow.f64 x -3)) y) (*.f64 (-.f64 (fma.f64 (*.f64 x x) 1/4 (pow.f64 x -2)) (/.f64 (*.f64 x 1/2) x)) z))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (*.f64 (*.f64 x x) 1/4) (pow.f64 x -2)) y) (*.f64 (-.f64 (*.f64 x 1/2) (/.f64 1 x)) z))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (fma.f64 (pow.f64 x 3) 1/8 (pow.f64 x -3)) 1) (*.f64 (-.f64 (fma.f64 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simplify55.0ms (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))

localize56.0ms (0.5%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(.f64 x (.f64 x 1/24))
✓	0.3b	(*.f64 x 1/24)
✓	4.5b	(.f64 y (.f64 (/.f64 x z) (+.f64 (.f64 x (.f64 x 1/24)) 1/2)))
✓	5.1b	(/.f64 y (*.f64 x z))

Compiler

Compiled 77 to 39 computations (49.4% saved)

series17.0ms (0.2%)

Counts

4 → 96

Calls

24 calls:

Time	Variable		Point	Expression
5.0ms	x	@	0	(.f64 y (.f64 (/.f64 x z) (+.f64 (.f64 x (.f64 x 1/24)) 1/2)))
1.0ms	y	@	0	(.f64 y (.f64 (/.f64 x z) (+.f64 (.f64 x (.f64 x 1/24)) 1/2)))
1.0ms	z	@	0	(.f64 y (.f64 (/.f64 x z) (+.f64 (.f64 x (.f64 x 1/24)) 1/2)))
1.0ms	x	@	inf	(.f64 y (.f64 (/.f64 x z) (+.f64 (.f64 x (.f64 x 1/24)) 1/2)))
1.0ms	z	@	inf	(.f64 y (.f64 (/.f64 x z) (+.f64 (.f64 x (.f64 x 1/24)) 1/2)))

rewrite103.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

908×	`log-prod_binary64`
497×	`prod-diff_binary64`
286×	`expm1-udef_binary64`
286×	`log1p-udef_binary64`
233×	`log-pow_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	35
1	316	35
2	4547	35

Stop Event

1×	node limit

Counts

4 → 109

Calls

Call 1

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

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 y (.f64 x z)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (.f64 (cbrt.f64 (exp.f64 (/.f64 y (.f64 x z)))) (cbrt.f64 (exp.f64 (/.f64 y (.f64 x z)))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 y (.f64 x z))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 y (.f64 x z))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 y (.f64 x z))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 y (.f64 x z)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 y (/.f64 1 (.f64 x z)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 y (.f64 x z)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (/.f64 y (.f64 x z)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 y) 2) (.f64 (cbrt.f64 y) (/.f64 1 (.f64 x z))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (/.f64 y (.f64 x z))) (pow.f64 (cbrt.f64 (/.f64 y (.f64 x z))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (/.f64 y (.f64 x z))) 2) (cbrt.f64 (/.f64 y (.f64 x z))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 y) (.f64 (sqrt.f64 y) (/.f64 1 (.f64 x z))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (/.f64 y (.f64 x z))) (sqrt.f64 (/.f64 y (.f64 x z))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (neg.f64 y) (/.f64 1 (.f64 x (neg.f64 z))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (.f64 x z)) y)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 z) (/.f64 y x))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 y x) (/.f64 1 z))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (pow.f64 (cbrt.f64 y) 2) 1) (/.f64 (cbrt.f64 y) (.f64 x z)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (sqrt.f64 y) 1) (/.f64 (sqrt.f64 y) (.f64 x 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 1 x) (/.f64 y z))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (pow.f64 (cbrt.f64 y) 2) x) (/.f64 (cbrt.f64 y) z))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (sqrt.f64 y) z) (/.f64 (sqrt.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 1 (pow.f64 (cbrt.f64 (.f64 x z)) 2)) (/.f64 y (cbrt.f64 (.f64 x z))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (pow.f64 (cbrt.f64 y) 2) (pow.f64 (cbrt.f64 (.f64 x z)) 2)) (cbrt.f64 (/.f64 y (.f64 x z))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (sqrt.f64 y) (pow.f64 (cbrt.f64 (.f64 x z)) 2)) (/.f64 (sqrt.f64 y) (cbrt.f64 (.f64 x z))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (sqrt.f64 (.f64 x z))) (/.f64 y (sqrt.f64 (.f64 x z))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (pow.f64 (cbrt.f64 y) 2) (sqrt.f64 (.f64 x z))) (/.f64 (cbrt.f64 y) (sqrt.f64 (.f64 x z))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 y (.f64 x z)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 y (.f64 x z)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 y (.f64 x z))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 y (.f64 x z))) 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 (.f64 x (neg.f64 z))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 y (.f64 x z)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 y (.f64 x z))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 y (.f64 x z)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 y (.f64 x z)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 y 3) (pow.f64 (.f64 x z) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 y (.f64 x z))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 y (.f64 x z))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 y (.f64 x z))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (/.f64 y (.f64 x z))) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (.f64 y (/.f64 x (/.f64 z (fma.f64 1/24 (.f64 x x) 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (.f64 x (.f64 (.f64 x 1/24) (/.f64 x z))) y) (.f64 (/.f64 (.f64 x 1/2) z) y))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (.f64 x (.f64 x 1/24)) (.f64 y (/.f64 x z))) (.f64 1/2 (.f64 y (/.f64 x z))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 1/2 (.f64 y (/.f64 x z))) (.f64 (.f64 x (.f64 x 1/24)) (.f64 y (/.f64 x z))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 y (.f64 x (.f64 (.f64 x 1/24) (/.f64 x z)))) (.f64 y (/.f64 (.f64 x 1/2) z)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (.f64 y (/.f64 x z)) (.f64 x (.f64 x 1/24))) (.f64 (.f64 y (/.f64 x z)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (.f64 y (/.f64 x z)) 1/2) (.f64 (.f64 y (/.f64 x z)) (.f64 x (.f64 x 1/24))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (.f64 (cbrt.f64 (pow.f64 (exp.f64 y) (/.f64 x (/.f64 z (fma.f64 1/24 (.f64 x x) 1/2))))) (cbrt.f64 (pow.f64 (exp.f64 y) (/.f64 x (/.f64 z (fma.f64 1/24 (.f64 x x) 1/2))))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 y) (/.f64 x (/.f64 z (fma.f64 1/24 (.f64 x x) 1/2)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 y) (/.f64 x (/.f64 z (fma.f64 1/24 (.f64 x x) 1/2)))))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 y) (/.f64 x (/.f64 z (fma.f64 1/24 (.f64 x x) 1/2)))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (.f64 y (/.f64 x (/.f64 z (fma.f64 1/24 (.f64 x x) 1/2)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (.f64 x (fma.f64 1/24 (.f64 x x) 1/2)) y) z)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 y (.f64 x (fma.f64 1/24 (.f64 x x) 1/2))) z)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (.f64 y (/.f64 x z)) (fma.f64 (pow.f64 (.f64 x x) 3) 1/13824 1/8)) (+.f64 (pow.f64 (.f64 x (.f64 x 1/24)) 2) (-.f64 1/4 (.f64 (.f64 x x) 1/48))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (.f64 y (/.f64 x z)) (+.f64 (pow.f64 (.f64 x (.f64 x 1/24)) 2) -1/4)) (fma.f64 x (.f64 x 1/24) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 y (/.f64 x (/.f64 z (fma.f64 1/24 (.f64 x x) 1/2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (.f64 y (/.f64 x (/.f64 z (fma.f64 1/24 (.f64 x x) 1/2)))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (.f64 y (/.f64 x (/.f64 z (fma.f64 1/24 (.f64 x x) 1/2))))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (.f64 y (/.f64 x (/.f64 z (fma.f64 1/24 (.f64 x x) 1/2))))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (.f64 y (/.f64 x (/.f64 z (fma.f64 1/24 (.f64 x x) 1/2)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 y) (/.f64 x (/.f64 z (fma.f64 1/24 (.f64 x x) 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (.f64 y (/.f64 x (/.f64 z (fma.f64 1/24 (.f64 x x) 1/2)))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (.f64 y (/.f64 x (/.f64 z (fma.f64 1/24 (.f64 x x) 1/2)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (.f64 (pow.f64 y 3) (pow.f64 (/.f64 x (/.f64 z (fma.f64 1/24 (.f64 x x) 1/2))) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (.f64 (pow.f64 (/.f64 x (/.f64 z (fma.f64 1/24 (.f64 x x) 1/2))) 3) (pow.f64 y 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (.f64 y (/.f64 x (/.f64 z (fma.f64 1/24 (.f64 x x) 1/2))))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (.f64 y (/.f64 x (/.f64 z (fma.f64 1/24 (.f64 x x) 1/2))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (.f64 y (/.f64 x (/.f64 z (fma.f64 1/24 (.f64 x x) 1/2))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (.f64 y (/.f64 x (/.f64 z (fma.f64 1/24 (.f64 x x) 1/2))))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 y (.f64 x (.f64 (.f64 x 1/24) (/.f64 x z))) (.f64 y (/.f64 (.f64 x 1/2) z)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 x (.f64 x 1/24)) (.f64 y (/.f64 x z)) (.f64 1/2 (.f64 y (/.f64 x z))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1/2 (.f64 y (/.f64 x z)) (.f64 (.f64 x (.f64 x 1/24)) (.f64 y (/.f64 x z))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 x (.f64 (.f64 x 1/24) (/.f64 x z))) y (.f64 (/.f64 (.f64 x 1/2) z) y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 y (/.f64 x z)) (.f64 x (.f64 x 1/24)) (.f64 (.f64 y (/.f64 x z)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 y (/.f64 x z)) 1/2 (.f64 (.f64 y (/.f64 x z)) (.f64 x (.f64 x 1/24))))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (.f64 x 1/24))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (.f64 (cbrt.f64 (pow.f64 (exp.f64 1/24) x)) (cbrt.f64 (pow.f64 (exp.f64 1/24) x)))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 1/24) x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 1/24) x))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 1/24) x))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (.f64 x 1/24))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 x 1/24) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (.f64 x 1/24) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (.f64 x 1/24)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (.f64 x 1/24)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (.f64 1/576 (.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 1/24) x))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (.f64 x 1/24))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (.f64 x 1/24) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (.f64 x 1/24)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (.f64 x 1/24)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (.f64 x 1/24)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (.f64 x 1/24)) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (.f64 x (.f64 x 1/24)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 1/24) x) x)) (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 1/24) x) x)))) (log.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 1/24) x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 1/24) x) x))) (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 1/24) x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (.f64 x (.f64 x 1/24)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 x (.f64 x 1/24)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (.f64 x (.f64 x 1/24))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 x (sqrt.f64 1/24)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 (pow.f64 (.f64 x x) 3) 1/13824) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (.f64 x (.f64 x 1/24)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (pow.f64 (exp.f64 1/24) x) x))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (.f64 x (.f64 x 1/24)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (.f64 (pow.f64 (.f64 x x) 3) 1/13824))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (.f64 x (.f64 x 1/24))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (.f64 x (.f64 x 1/24))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (.f64 x (.f64 x 1/24))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (.f64 x (*.f64 x 1/24))) 1))))))

simplify139.0ms (1.4%)

Algorithm

1×	egg-herbie

Rules

865×	`fma-def_binary64`
513×	`associate-/l*_binary64`
496×	`distribute-lft-in_binary64`
475×	`associate-*l/_binary64`
466×	`associate-/r*_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	24	1047
1	61	981
2	145	981
3	438	981
4	1592	981
5	4307	981
6	6114	981
7	6913	981
8	7513	981

Stop Event

1×	node limit

Counts

205 → 122

Calls

Call 1

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

eval152.0ms (1.5%)

Compiler: Compiled 8176 to 3735 computations (54.3% saved)

prune155.0ms (1.5%)

Pruning

15 alts after pruning (11 fresh and 4 done)

	Pruned	Kept	Total
New	501	9	510
Fresh	3	2	5
Picked	0	1	1
Done	2	3	5
Total	506	15	521

Error

Counts

521 → 15

Alt Table

Click to see full alt table

Status	Error	Program
▶	5.7b	(/.f64 (/.f64 (cosh.f64 x) z) (/.f64 x y))
✓	9.9b	(.f64 (/.f64 y z) (+.f64 (.f64 x 1/2) (/.f64 1 x)))
	6.2b	(/.f64 (cosh.f64 x) (/.f64 (*.f64 x z) y))
✓	6.8b	(/.f64 y (*.f64 z x))
	6.3b	(+.f64 (/.f64 y (.f64 x z)) (+.f64 (.f64 (.f64 x (.f64 (.f64 x 1/24) (/.f64 x z))) y) (.f64 (/.f64 (*.f64 x 1/2) z) y)))
✓	6.3b	(+.f64 (/.f64 y (.f64 x z)) (.f64 y (.f64 (/.f64 x z) (+.f64 (.f64 x (*.f64 x 1/24)) 1/2))))
▶	7.7b	(*.f64 y (/.f64 (/.f64 1 z) x))
	8.1b	(/.f64 1 (/.f64 z (/.f64 y x)))
	9.7b	(+.f64 (/.f64 (/.f64 y z) x) (.f64 y (.f64 (/.f64 x z) (+.f64 (.f64 x (.f64 x 1/24)) 1/2))))
▶	10.2b	(*.f64 (/.f64 y z) (/.f64 1 x))
▶	7.3b	(/.f64 (+.f64 (/.f64 y x) (.f64 1/2 (.f64 y x))) z)
	57.7b	(.f64 (/.f64 y z) (.f64 1/2 x))
✓	6.3b	(*.f64 (/.f64 (cosh.f64 x) z) (/.f64 y x))
	10.2b	(/.f64 (/.f64 y z) x)
▶	7.6b	(/.f64 (/.f64 y x) z)

Compiler

Compiled 339 to 220 computations (35.1% saved)

localize17.0ms (0.2%)

Local error

Found 2 expressions with local error:

New	Error	Program
	0.0b	(/.f64 (cosh.f64 x) z)
✓	5.4b	(/.f64 (/.f64 (cosh.f64 x) z) (/.f64 x y))

Compiler

Compiled 23 to 7 computations (69.6% saved)

series5.0ms (0%)

Counts

1 → 36

Calls

9 calls:

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

rewrite80.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

570×	`log-prod_binary64`
443×	`exp-prod_binary64`
332×	`pow-prod-down_binary64`
259×	`pow2_binary64`
210×	`log-div_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	12
1	182	12
2	2836	12

Stop Event

1×	node limit

Counts

1 → 66

Calls

Call 1

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

Outputs

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

simplify116.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

806×	`fma-neg_binary64`
755×	`fma-def_binary64`
686×	`unswap-sqr_binary64`
509×	`associate-/l*_binary64`
345×	`associate-/r*_binary64`

Iterations

Useful iterations: 5 (0.0ms)

Iter	Nodes	Cost
0	35	807
1	97	805
2	259	803
3	719	765
4	1933	755
5	4678	750
6	5105	750
7	6116	750
8	7974	750

Stop Event

1×	node limit

Counts

102 → 76

Calls

Call 1

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

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

localize7.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	5.8b	(/.f64 (/.f64 y x) z)

Compiler

Compiled 14 to 5 computations (64.3% saved)

series3.0ms (0%)

Counts

1 → 36

Calls

9 calls:

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

rewrite88.0ms (0.9%)

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 x) z)

Outputs

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

simplify22.0ms (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

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))

localize21.0ms (0.2%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.3b	(/.f64 (/.f64 1 z) x)
✓	5.9b	(*.f64 y (/.f64 (/.f64 1 z) x))

Compiler

Compiled 22 to 13 computations (40.9% saved)

series8.0ms (0.1%)

Counts

2 → 60

Calls

15 calls:

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

rewrite87.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

838×	`pow1_binary64`
773×	`add-log-exp_binary64`
773×	`log1p-expm1-u_binary64`
773×	`expm1-log1p-u_binary64`
754×	`add-exp-log_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	8	17
1	166	14
2	2171	14

Stop Event

1×	node limit

Counts

2 → 53

Calls

Call 1

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

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

simplify31.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

4×	`associate-/r*_binary64`
1×	`*-commutative_binary64`
1×	`1-exp_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	420
1	15	420
2	19	420

Stop Event

1×

saturated

Counts

113 → 55

Calls

Call 1

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

localize18.0ms (0.2%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	8.9b	(*.f64 (/.f64 y z) (/.f64 1 x))

Compiler

Compiled 20 to 10 computations (50% saved)

series4.0ms (0%)

Counts

1 → 36

Calls

9 calls:

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

rewrite85.0ms (0.8%)

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)))))))

simplify22.0ms (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))

localize17.0ms (0.2%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 (/.f64 y x) (.f64 1/2 (.f64 y x)))
✓	0.0b	(.f64 1/2 (.f64 y x))
✓	5.8b	(/.f64 (+.f64 (/.f64 y x) (.f64 1/2 (.f64 y x))) z)

Compiler

Compiled 38 to 15 computations (60.5% saved)

series10.0ms (0.1%)

Counts

3 → 39

Calls

21 calls:

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

rewrite114.0ms (1.1%)

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 1/2 (.f64 y x))
(+.f64 (/.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 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(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 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((#(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))))))

((#(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 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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))))))

simplify142.0ms (1.4%)

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))

eval155.0ms (1.5%)

Compiler: Compiled 5631 to 2451 computations (56.5% saved)

prune98.0ms (1%)

Pruning

15 alts after pruning (7 fresh and 8 done)

	Pruned	Kept	Total
New	420	3	423
Fresh	2	4	6
Picked	0	1	1
Done	1	7	8
Total	423	15	438

Error

Counts

438 → 15

Alt Table

Click to see full alt table

Status	Error	Program
✓	5.7b	(/.f64 (/.f64 (cosh.f64 x) z) (/.f64 x y))
✓	9.9b	(.f64 (/.f64 y z) (+.f64 (.f64 x 1/2) (/.f64 1 x)))
▶	6.2b	(/.f64 (cosh.f64 x) (/.f64 (*.f64 x z) y))
▶	10.2b	(/.f64 1 (/.f64 x (/.f64 y z)))
✓	6.8b	(/.f64 y (*.f64 z x))
	6.3b	(+.f64 (/.f64 y (.f64 x z)) (+.f64 (.f64 (.f64 x (.f64 (.f64 x 1/24) (/.f64 x z))) y) (.f64 (/.f64 (*.f64 x 1/2) z) y)))
✓	6.3b	(+.f64 (/.f64 y (.f64 x z)) (.f64 y (.f64 (/.f64 x z) (+.f64 (.f64 x (*.f64 x 1/24)) 1/2))))
	9.7b	(+.f64 (/.f64 (/.f64 y z) x) (.f64 y (.f64 (/.f64 x z) (+.f64 (.f64 x (.f64 x 1/24)) 1/2))))
✓	10.2b	(*.f64 (/.f64 y z) (/.f64 1 x))
✓	7.3b	(/.f64 (+.f64 (/.f64 y x) (.f64 1/2 (.f64 y x))) z)
▶	57.7b	(.f64 (/.f64 y z) (.f64 1/2 x))
▶	7.1b	(/.f64 (/.f64 1 z) (/.f64 x y))
✓	6.3b	(*.f64 (/.f64 (cosh.f64 x) z) (/.f64 y x))
▶	10.2b	(/.f64 (/.f64 y z) x)
✓	7.6b	(/.f64 (/.f64 y x) z)

Compiler

Compiled 296 to 192 computations (35.1% saved)

localize9.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	1.0b	(/.f64 (cosh.f64 x) (/.f64 (*.f64 x z) y))
✓	5.2b	(/.f64 (*.f64 x z) y)

Compiler

Compiled 24 to 7 computations (70.8% saved)

series16.0ms (0.2%)

Counts

2 → 72

Calls

18 calls:

Time	Variable		Point	Expression
8.0ms	x	@	inf	(/.f64 (cosh.f64 x) (/.f64 (*.f64 x z) y))
1.0ms	z	@	inf	(/.f64 (*.f64 x z) y)
1.0ms	x	@	0	(/.f64 (*.f64 x z) y)
1.0ms	z	@	-inf	(/.f64 (*.f64 x z) y)
1.0ms	y	@	-inf	(/.f64 (*.f64 x z) y)

rewrite99.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

560×	`log-prod_binary64`
434×	`exp-prod_binary64`
310×	`pow-prod-down_binary64`
249×	`pow2_binary64`
213×	`div-exp_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	19
1	177	19
2	2666	19

Stop Event

1×	node limit

Counts

2 → 122

Calls

Call 1

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

Outputs

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

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

simplify292.0ms (2.9%)

Algorithm

1×	egg-herbie

Rules

806×	`fma-neg_binary64`
749×	`fma-def_binary64`
686×	`unswap-sqr_binary64`
511×	`associate-/l*_binary64`
343×	`associate-/r*_binary64`

Iterations

Useful iterations: 5 (0.0ms)

Iter	Nodes	Cost
0	36	1059
1	98	1057
2	260	1055
3	719	1017
4	1913	1007
5	4624	1002
6	5051	1002
7	6061	1002
8	7922	1002

Stop Event

1×	node limit

Counts

194 → 134

Calls

Call 1

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

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

localize6.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	8.8b	(/.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	z	@	-inf	(/.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)

rewrite61.0ms (0.6%)

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)))))))

simplify10.0ms (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 1 expressions with local error:

New	Error	Program
✓	0.1b	(.f64 (/.f64 y z) (.f64 1/2 x))

Compiler

Compiled 20 to 10 computations (50% saved)

series6.0ms (0.1%)

Counts

1 → 36

Calls

9 calls:

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

rewrite66.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

874×	`pow1_binary64`
808×	`add-log-exp_binary64`
808×	`log1p-expm1-u_binary64`
808×	`expm1-log1p-u_binary64`
791×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	10
1	168	10
2	2156	10

Stop Event

1×	node limit

Counts

1 → 23

Calls

Call 1

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

Outputs

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

simplify19.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

16×	`*-commutative_binary64`
15×	`associate-/l*_binary64`
11×	`associate-/r/_binary64`
10×	`associate-r_binary64`
8×	`associate-l_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	360
1	14	360
2	29	360
3	56	360
4	86	360
5	97	360

Stop Event

1×

saturated

Counts

59 → 25

Calls

Call 1

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

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

localize7.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.9b	(/.f64 1 (/.f64 x (/.f64 y z)))
✓	8.3b	(/.f64 x (/.f64 y z))

Compiler

Compiled 22 to 8 computations (63.6% saved)

series5.0ms (0%)

Counts

2 → 72

Calls

18 calls:

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

rewrite73.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

939×	`pow1_binary64`
871×	`add-log-exp_binary64`
871×	`log1p-expm1-u_binary64`
871×	`expm1-log1p-u_binary64`
850×	`add-exp-log_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	8	17
1	172	14
2	2417	14

Stop Event

1×	node limit

Counts

2 → 81

Calls

Call 1

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

Outputs

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

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

simplify20.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

3×	`*-commutative_binary64`
2×	`associate-/r*_binary64`
2×	`associate-/l*_binary64`
2×	`associate-/r/_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	504
1	12	504
2	16	504
3	19	504
4	20	504

Stop Event

1×

saturated

Counts

153 → 84

Calls

Call 1

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

localize12.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	5.4b	(/.f64 (/.f64 1 z) (/.f64 x y))

Compiler

Compiled 20 to 10 computations (50% saved)

series5.0ms (0%)

Counts

1 → 36

Calls

9 calls:

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

rewrite88.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

940×	`pow1_binary64`
872×	`add-log-exp_binary64`
872×	`log1p-expm1-u_binary64`
872×	`expm1-log1p-u_binary64`
851×	`add-exp-log_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	8	10
1	172	7
2	2417	7

Stop Event

1×	node limit

Counts

1 → 41

Calls

Call 1

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

Outputs

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

simplify19.0ms (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

77 → 42

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))

eval149.0ms (1.5%)

Compiler: Compiled 3818 to 1451 computations (62% saved)

prune98.0ms (1%)

Pruning

15 alts after pruning (2 fresh and 13 done)

	Pruned	Kept	Total
New	324	0	324
Fresh	0	2	2
Picked	0	1	1
Done	0	12	12
Total	324	15	339

Error

Counts

339 → 15

Alt Table

Click to see full alt table

Status	Error	Program
✓	5.7b	(/.f64 (/.f64 (cosh.f64 x) z) (/.f64 x y))
✓	9.9b	(.f64 (/.f64 y z) (+.f64 (.f64 x 1/2) (/.f64 1 x)))
✓	6.2b	(/.f64 (cosh.f64 x) (/.f64 (*.f64 x z) y))
✓	10.2b	(/.f64 1 (/.f64 x (/.f64 y z)))
✓	6.8b	(/.f64 y (*.f64 z x))
	6.3b	(+.f64 (/.f64 y (.f64 x z)) (+.f64 (.f64 (.f64 x (.f64 (.f64 x 1/24) (/.f64 x z))) y) (.f64 (/.f64 (*.f64 x 1/2) z) y)))
✓	6.3b	(+.f64 (/.f64 y (.f64 x z)) (.f64 y (.f64 (/.f64 x z) (+.f64 (.f64 x (*.f64 x 1/24)) 1/2))))
	9.7b	(+.f64 (/.f64 (/.f64 y z) x) (.f64 y (.f64 (/.f64 x z) (+.f64 (.f64 x (.f64 x 1/24)) 1/2))))
✓	10.2b	(*.f64 (/.f64 y z) (/.f64 1 x))
✓	7.3b	(/.f64 (+.f64 (/.f64 y x) (.f64 1/2 (.f64 y x))) z)
✓	57.7b	(.f64 (/.f64 y z) (.f64 1/2 x))
✓	7.1b	(/.f64 (/.f64 1 z) (/.f64 x y))
✓	6.3b	(*.f64 (/.f64 (cosh.f64 x) z) (/.f64 y x))
✓	10.2b	(/.f64 (/.f64 y z) x)
✓	7.6b	(/.f64 (/.f64 y x) z)

Compiler

Compiled 197 to 128 computations (35% saved)

regimes345.0ms (3.4%)

Counts

24 → 3

Calls

Call 1

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

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

Calls

6 calls:

64.0ms	(*.f64 (cosh.f64 x) (/.f64 y x))
64.0ms	z
61.0ms	(*.f64 (cosh.f64 x) (/.f64 y x))
58.0ms	(/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z)
55.0ms	y

Results

Error	Segments	Branch
4.2b	2	`x`
0.3b	3	`y`
0.2b	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 272 to 121 computations (55.5% saved)

bsearch1.0ms (0%)

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	5.432914003721519e+220	1.5768667373606653e+225
0.0ms	-4.050318080097801e+282	-1.650816704409835e+280

Compiler

Compiled 17 to 12 computations (29.4% saved)

regimes101.0ms (1%)

Counts

21 → 3

Calls

Call 1

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

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

Calls

3 calls:

33.0ms	y
32.0ms	z
30.0ms	x

Results

Error	Segments	Branch
4.3b	2	`x`
0.3b	3	`y`
0.3b	3	`z`

Compiler

Compiled 206 to 91 computations (55.8% saved)

bsearch26.0ms (0.3%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
15.0ms	2.9772673409156954e-13	1.0123724312592408e-5
11.0ms	-3.4573314624242504e-28	-8.32278523467986e-33

Compiler

Compiled 76 to 51 computations (32.9% saved)

regimes132.0ms (1.3%)

Counts

20 → 4

Calls

Call 1

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

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

Calls

3 calls:

60.0ms	z
34.0ms	y
31.0ms	x

Results

Error	Segments	Branch
4.3b	2	`x`
0.3b	3	`y`
0.3b	4	`z`

Compiler

Compiled 198 to 89 computations (55.1% saved)

bsearch41.0ms (0.4%)

Algorithm

3×	binary-search

Steps

Time	Left	Right
23.0ms	1.3183169543758011e+228	1.718776833205182e+235
8.0ms	4.650488237268877e-62	3.57397547902068e-57
10.0ms	-3.4573314624242504e-28	-8.32278523467986e-33

Compiler

Compiled 76 to 51 computations (32.9% saved)

regimes172.0ms (1.7%)

Counts

19 → 4

Calls

Call 1

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

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

Calls

3 calls:

86.0ms	x
40.0ms	z
38.0ms	y

Results

Error	Segments	Branch
4.3b	2	`x`
0.4b	3	`y`
0.3b	4	`z`

Compiler

Compiled 190 to 88 computations (53.7% saved)

bsearch132.0ms (1.3%)

Algorithm

3×	binary-search

Steps

Time	Left	Right
33.0ms	1.3183169543758011e+228	1.718776833205182e+235
15.0ms	3.57397547902068e-57	1.0720700979724951e-44
18.0ms	-3.4573314624242504e-28	-8.32278523467986e-33

Compiler

Compiled 76 to 51 computations (32.9% saved)

regimes123.0ms (1.2%)

Counts

18 → 3

Calls

Call 1

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

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

Calls

3 calls:

50.0ms	y
33.0ms	z
27.0ms	x

Results

Error	Segments	Branch
3.4b	3	`x`
0.6b	3	`y`
1.3b	2	`z`

Compiler

Compiled 182 to 86 computations (52.7% saved)

bsearch44.0ms (0.4%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
39.0ms	4.190571633725181e-41	1.3566965169109804e-39
4.0ms	-6.739546024912874e+120	-2.9039228066913576e+117

Compiler

Compiled 38 to 26 computations (31.6% saved)

regimes157.0ms (1.5%)

Counts

17 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

3 calls:

95.0ms	z
29.0ms	y
28.0ms	x

Results

Error	Segments	Branch
5.0b	2	`x`
1.2b	3	`y`
1.1b	3	`z`

Compiler

Compiled 174 to 83 computations (52.3% saved)

bsearch71.0ms (0.7%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
55.0ms	5.096702770197931e+19	8.837912578542036e+21
16.0ms	-64377189.386861324	-1176458.408012976

Compiler

Compiled 109 to 72 computations (33.9% saved)

regimes197.0ms (1.9%)

Counts

15 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

3 calls:

112.0ms	y
55.0ms	x
27.0ms	z

Results

Error	Segments	Branch
5.3b	2	`x`
1.2b	3	`y`
1.3b	3	`z`

Compiler

Compiled 130 to 62 computations (52.3% saved)

bsearch62.0ms (0.6%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
46.0ms	6.436951221045062e-73	3.2365978335648043e-65
16.0ms	-2.5601116751657163e-18	-1.0070569088754817e-23

Compiler

Compiled 55 to 37 computations (32.7% saved)

regimes196.0ms (1.9%)

Counts

14 → 3

Calls

Call 1

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

Outputs
(/.f64 y (*.f64 z 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:

84.0ms	x
61.0ms	z
46.0ms	y

Results

Error	Segments	Branch
5.3b	2	`x`
1.3b	3	`y`
1.4b	3	`z`

Compiler

Compiled 111 to 53 computations (52.3% saved)

bsearch19.0ms (0.2%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
12.0ms	8.594510047915839e-10	0.1302333441625202
6.0ms	-4.818751169158184e+45	-1.8535271530856156e+40

Compiler

Compiled 71 to 49 computations (31% saved)

regimes149.0ms (1.5%)

Counts

13 → 3

Calls

Call 1

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

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

Calls

3 calls:

78.0ms	x
45.0ms	y
22.0ms	z

Results

Error	Segments	Branch
5.3b	2	`x`
1.3b	3	`y`
1.4b	3	`z`

Compiler

Compiled 100 to 47 computations (53% saved)

bsearch13.0ms (0.1%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
7.0ms	1.0927840838771144e+24	1.5161380000029258e+26
6.0ms	-4.818751169158184e+45	-1.8535271530856156e+40

Compiler

Compiled 65 to 44 computations (32.3% saved)

regimes92.0ms (0.9%)

Counts

12 → 3

Calls

Call 1

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

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

Calls

3 calls:

47.0ms	z
21.0ms	y
20.0ms	x

Results

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

Compiler

Compiled 89 to 42 computations (52.8% saved)

bsearch62.0ms (0.6%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
45.0ms	5.096702770197931e+19	8.837912578542036e+21
16.0ms	-64377189.386861324	-1176458.408012976

Compiler

Compiled 53 to 36 computations (32.1% saved)

regimes69.0ms (0.7%)

Counts

3 → 3

Calls

Call 1

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

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

Calls

3 calls:

47.0ms	z
11.0ms	y
9.0ms	x

Results

Error	Segments	Branch
5.9b	3	`x`
1.6b	3	`y`
4.8b	4	`z`

Compiler

Compiled 30 to 16 computations (46.7% saved)

bsearch44.0ms (0.4%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
32.0ms	6.436951221045062e-73	3.2365978335648043e-65
12.0ms	-2.5601116751657163e-18	-1.0070569088754817e-23

Compiler

Compiled 35 to 24 computations (31.4% saved)

regimes17.0ms (0.2%)

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:

9.0ms	x
3.0ms	y
3.0ms	z

Results

Error	Segments	Branch
10.2b	1	`x`
10.2b	1	`y`
10.2b	1	`z`

Compiler

Compiled 25 to 14 computations (44% saved)

simplify23.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

12×	`*-commutative_binary64`
5×	`+-commutative_binary64`
1×	`1-exp_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	98	687
1	118	687

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(if (<=.f64 (.f64 (cosh.f64 x) (/.f64 y x)) -4000000000000000131128983931448392994282821132085974257053334309763770412789497343711737514689647172215269990327296603274806538707642782783975964405172170084499115216982480263261093089420598385961314195650041202516370405569779342608523794259304018488315142707243420422805058800844800) (/.f64 y (.f64 z x)) (if (<=.f64 (.f64 (cosh.f64 x) (/.f64 y x)) 100000000000000004660180717482069756840508580994937686142098045801868278132308629957276771221419571232103397659598548986531726166600689809136062209749264344058743012736731622189948720589505523832645973577156024278435495936) (/.f64 (.f64 (cosh.f64 x) (/.f64 y x)) z) (/.f64 (/.f64 y z) x)))
(if (<=.f64 z -1461501637330903040/1461501637330902918203684832716283019655932542976) (+.f64 (/.f64 y (.f64 x z)) (.f64 y (.f64 (/.f64 x z) (+.f64 (.f64 x (.f64 x 1/24)) 1/2)))) (if (<=.f64 z 7922816251426434048/79228162514264337593543950336) (.f64 (/.f64 (cosh.f64 x) z) (/.f64 y x)) (*.f64 y (/.f64 (/.f64 (cosh.f64 x) z) x))))
(if (<=.f64 z -1461501637330903040/1461501637330902918203684832716283019655932542976) (+.f64 (/.f64 y (.f64 x z)) (.f64 y (.f64 (/.f64 x z) (+.f64 (.f64 x (.f64 x 1/24)) 1/2)))) (if (<=.f64 z 115792089237316192/115792089237316195423570985008687907853269984665640564039457584007913129639936) (.f64 (/.f64 (cosh.f64 x) z) (/.f64 y x)) (if (<=.f64 z 1318316954375801107735549642754041600265646188615491833237117552571672841070398141230185307121797599920407343808592021289395363207857444982337487257932496116302218352961748451867391872156153577345555115231691061018932962968731648) (/.f64 (cosh.f64 x) (/.f64 (*.f64 x z) y)) (/.f64 (/.f64 (cosh.f64 x) z) (/.f64 x y)))))
(if (<=.f64 z -1461501637330903040/1461501637330902918203684832716283019655932542976) (+.f64 (/.f64 y (.f64 x z)) (.f64 y (.f64 (/.f64 x z) (+.f64 (.f64 x (.f64 x 1/24)) 1/2)))) (if (<=.f64 z 269599466671506400/26959946667150639794667015087019630673637144422540572481103610249216) (/.f64 (/.f64 (cosh.f64 x) z) (/.f64 x y)) (if (<=.f64 z 1318316954375801107735549642754041600265646188615491833237117552571672841070398141230185307121797599920407343808592021289395363207857444982337487257932496116302218352961748451867391872156153577345555115231691061018932962968731648) (/.f64 (cosh.f64 x) (/.f64 (.f64 x z) y)) (/.f64 (/.f64 (cosh.f64 x) z) (/.f64 x y)))))
(if (<=.f64 y -999999999999999980003468347394201181668805192897008518188648311830772414627428725464789434929992439754776075181077037056) (/.f64 y (.f64 z x)) (if (<=.f64 y 263046444743185312/6277101735386680763835789423207666416102355444464034512896) (/.f64 (/.f64 (cosh.f64 x) z) (/.f64 x y)) (+.f64 (/.f64 y (.f64 x z)) (.f64 y (.f64 (/.f64 x z) (+.f64 (.f64 x (.f64 x 1/24)) 1/2))))))
(if (<=.f64 z -10000000) (+.f64 (/.f64 y (.f64 x z)) (.f64 y (.f64 (/.f64 x z) (+.f64 (.f64 x (.f64 x 1/24)) 1/2)))) (if (<=.f64 z 1000000000000000000000) (+.f64 (/.f64 (/.f64 y z) x) (.f64 y (.f64 (/.f64 x z) (+.f64 (.f64 x (.f64 x 1/24)) 1/2)))) (+.f64 (/.f64 y (.f64 x z)) (.f64 y (.f64 (/.f64 x z) (+.f64 (.f64 x (.f64 x 1/24)) 1/2))))))
(if (<=.f64 y -3402823669209384448/340282366920938463463374607431768211456) (+.f64 (/.f64 (/.f64 y z) x) (.f64 y (.f64 (/.f64 x z) (+.f64 (.f64 x (.f64 x 1/24)) 1/2)))) (if (<=.f64 y 5121992662179293/7957171782556586274486115970349133441607298412757563479047423630290551952200534008528896) (/.f64 (+.f64 (/.f64 y x) (.f64 1/2 (.f64 y x))) z) (+.f64 (/.f64 (/.f64 y z) x) (.f64 y (.f64 (/.f64 x z) (+.f64 (.f64 x (.f64 x 1/24)) 1/2))))))
(if (<=.f64 y -999999999999999929757289024535551219930759168) (/.f64 y (.f64 z x)) (if (<=.f64 y 5902958103587057/590295810358705651712) (/.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 -999999999999999929757289024535551219930759168) (/.f64 y (.f64 z x)) (if (<=.f64 y 100000000000000004764729344) (/.f64 (+.f64 (/.f64 y x) (.f64 1/2 (.f64 y x))) z) (/.f64 y (.f64 z x))))
(if (<=.f64 z -10000000) (/.f64 y (.f64 z x)) (if (<=.f64 z 1000000000000000000000) (/.f64 (/.f64 y z) x) (/.f64 y (.f64 z x))))
(if (<=.f64 y -3402823669209384448/340282366920938463463374607431768211456) (/.f64 (/.f64 y z) x) (if (<=.f64 y 5121992662179293/7957171782556586274486115970349133441607298412757563479047423630290551952200534008528896) (/.f64 (/.f64 y x) z) (/.f64 (/.f64 y z) x)))
(/.f64 (/.f64 y z) x)

Outputs
(if (<=.f64 (.f64 (cosh.f64 x) (/.f64 y x)) -4000000000000000131128983931448392994282821132085974257053334309763770412789497343711737514689647172215269990327296603274806538707642782783975964405172170084499115216982480263261093089420598385961314195650041202516370405569779342608523794259304018488315142707243420422805058800844800) (/.f64 y (.f64 z x)) (if (<=.f64 (.f64 (cosh.f64 x) (/.f64 y x)) 100000000000000004660180717482069756840508580994937686142098045801868278132308629957276771221419571232103397659598548986531726166600689809136062209749264344058743012736731622189948720589505523832645973577156024278435495936) (/.f64 (.f64 (cosh.f64 x) (/.f64 y x)) z) (/.f64 (/.f64 y z) x)))
(if (<=.f64 (.f64 (cosh.f64 x) (/.f64 y x)) -4000000000000000131128983931448392994282821132085974257053334309763770412789497343711737514689647172215269990327296603274806538707642782783975964405172170084499115216982480263261093089420598385961314195650041202516370405569779342608523794259304018488315142707243420422805058800844800) (/.f64 y (.f64 x z)) (if (<=.f64 (.f64 (cosh.f64 x) (/.f64 y x)) 100000000000000004660180717482069756840508580994937686142098045801868278132308629957276771221419571232103397659598548986531726166600689809136062209749264344058743012736731622189948720589505523832645973577156024278435495936) (/.f64 (.f64 (cosh.f64 x) (/.f64 y x)) z) (/.f64 (/.f64 y z) x)))
(if (<=.f64 z -1461501637330903040/1461501637330902918203684832716283019655932542976) (+.f64 (/.f64 y (.f64 x z)) (.f64 y (.f64 (/.f64 x z) (+.f64 (.f64 x (.f64 x 1/24)) 1/2)))) (if (<=.f64 z 7922816251426434048/79228162514264337593543950336) (.f64 (/.f64 (cosh.f64 x) z) (/.f64 y x)) (*.f64 y (/.f64 (/.f64 (cosh.f64 x) z) x))))
(if (<=.f64 z -178405961588245/178405961588244985132285746181186892047843328) (+.f64 (/.f64 y (.f64 x z)) (.f64 y (.f64 (/.f64 x z) (+.f64 (.f64 x (.f64 x 1/24)) 1/2)))) (if (<=.f64 z 7737125245533627/77371252455336267181195264) (.f64 (/.f64 y x) (/.f64 (cosh.f64 x) z)) (*.f64 y (/.f64 (/.f64 (cosh.f64 x) z) x))))
(if (<=.f64 z -1461501637330903040/1461501637330902918203684832716283019655932542976) (+.f64 (/.f64 y (.f64 x z)) (.f64 y (.f64 (/.f64 x z) (+.f64 (.f64 x (.f64 x 1/24)) 1/2)))) (if (<=.f64 z 115792089237316192/115792089237316195423570985008687907853269984665640564039457584007913129639936) (.f64 (/.f64 (cosh.f64 x) z) (/.f64 y x)) (if (<=.f64 z 1318316954375801107735549642754041600265646188615491833237117552571672841070398141230185307121797599920407343808592021289395363207857444982337487257932496116302218352961748451867391872156153577345555115231691061018932962968731648) (/.f64 (cosh.f64 x) (/.f64 (*.f64 x z) y)) (/.f64 (/.f64 (cosh.f64 x) z) (/.f64 x y)))))
(if (<=.f64 z -178405961588245/178405961588244985132285746181186892047843328) (+.f64 (/.f64 y (.f64 x z)) (.f64 y (.f64 (/.f64 x z) (+.f64 (.f64 x (.f64 x 1/24)) 1/2)))) (if (<=.f64 z 3618502788666131/3618502788666131106986593281521497120414687020801267626233049500247285301248) (.f64 (/.f64 y x) (/.f64 (cosh.f64 x) z)) (if (<=.f64 z 1318316954375801107735549642754041600265646188615491833237117552571672841070398141230185307121797599920407343808592021289395363207857444982337487257932496116302218352961748451867391872156153577345555115231691061018932962968731648) (/.f64 (cosh.f64 x) (/.f64 (*.f64 x z) y)) (/.f64 (/.f64 (cosh.f64 x) z) (/.f64 x y)))))
(if (<=.f64 z -1461501637330903040/1461501637330902918203684832716283019655932542976) (+.f64 (/.f64 y (.f64 x z)) (.f64 y (.f64 (/.f64 x z) (+.f64 (.f64 x (.f64 x 1/24)) 1/2)))) (if (<=.f64 z 269599466671506400/26959946667150639794667015087019630673637144422540572481103610249216) (/.f64 (/.f64 (cosh.f64 x) z) (/.f64 x y)) (if (<=.f64 z 1318316954375801107735549642754041600265646188615491833237117552571672841070398141230185307121797599920407343808592021289395363207857444982337487257932496116302218352961748451867391872156153577345555115231691061018932962968731648) (/.f64 (cosh.f64 x) (/.f64 (.f64 x z) y)) (/.f64 (/.f64 (cosh.f64 x) z) (/.f64 x y)))))
(if (<=.f64 z -178405961588245/178405961588244985132285746181186892047843328) (+.f64 (/.f64 y (.f64 x z)) (.f64 y (.f64 (/.f64 x z) (+.f64 (.f64 x (.f64 x 1/24)) 1/2)))) (if (<=.f64 z 8424983333484575/842498333348457493583344221469363458551160763204392890034487820288) (/.f64 (/.f64 (cosh.f64 x) z) (/.f64 x y)) (if (<=.f64 z 1318316954375801107735549642754041600265646188615491833237117552571672841070398141230185307121797599920407343808592021289395363207857444982337487257932496116302218352961748451867391872156153577345555115231691061018932962968731648) (/.f64 (cosh.f64 x) (/.f64 (.f64 x z) y)) (/.f64 (/.f64 (cosh.f64 x) z) (/.f64 x y)))))
(if (<=.f64 y -999999999999999980003468347394201181668805192897008518188648311830772414627428725464789434929992439754776075181077037056) (/.f64 y (.f64 z x)) (if (<=.f64 y 263046444743185312/6277101735386680763835789423207666416102355444464034512896) (/.f64 (/.f64 (cosh.f64 x) z) (/.f64 x y)) (+.f64 (/.f64 y (.f64 x z)) (.f64 y (.f64 (/.f64 x z) (+.f64 (.f64 x (.f64 x 1/24)) 1/2))))))
(if (<=.f64 y -999999999999999980003468347394201181668805192897008518188648311830772414627428725464789434929992439754776075181077037056) (/.f64 y (.f64 x z)) (if (<=.f64 y 8220201398224541/196159429230833773869868419475239575503198607639501078528) (/.f64 (/.f64 (cosh.f64 x) z) (/.f64 x y)) (+.f64 (/.f64 y (.f64 x z)) (.f64 y (.f64 (/.f64 x z) (+.f64 (.f64 x (.f64 x 1/24)) 1/2))))))
(if (<=.f64 z -10000000) (+.f64 (/.f64 y (.f64 x z)) (.f64 y (.f64 (/.f64 x z) (+.f64 (.f64 x (.f64 x 1/24)) 1/2)))) (if (<=.f64 z 1000000000000000000000) (+.f64 (/.f64 (/.f64 y z) x) (.f64 y (.f64 (/.f64 x z) (+.f64 (.f64 x (.f64 x 1/24)) 1/2)))) (+.f64 (/.f64 y (.f64 x z)) (.f64 y (.f64 (/.f64 x z) (+.f64 (.f64 x (.f64 x 1/24)) 1/2))))))
(if (<=.f64 y -3402823669209384448/340282366920938463463374607431768211456) (+.f64 (/.f64 (/.f64 y z) x) (.f64 y (.f64 (/.f64 x z) (+.f64 (.f64 x (.f64 x 1/24)) 1/2)))) (if (<=.f64 y 5121992662179293/7957171782556586274486115970349133441607298412757563479047423630290551952200534008528896) (/.f64 (+.f64 (/.f64 y x) (.f64 1/2 (.f64 y x))) z) (+.f64 (/.f64 (/.f64 y z) x) (.f64 y (.f64 (/.f64 x z) (+.f64 (.f64 x (.f64 x 1/24)) 1/2))))))
(if (<=.f64 y -6646139978924579/664613997892457936451903530140172288) (+.f64 (/.f64 (/.f64 y z) x) (.f64 y (.f64 (/.f64 x z) (+.f64 (.f64 x (.f64 x 1/24)) 1/2)))) (if (<=.f64 y 5121992662179293/7957171782556586274486115970349133441607298412757563479047423630290551952200534008528896) (/.f64 (+.f64 (/.f64 y x) (.f64 1/2 (.f64 x y))) z) (+.f64 (/.f64 (/.f64 y z) x) (.f64 y (.f64 (/.f64 x z) (+.f64 (.f64 x (.f64 x 1/24)) 1/2))))))
(if (<=.f64 y -999999999999999929757289024535551219930759168) (/.f64 y (.f64 z x)) (if (<=.f64 y 5902958103587057/590295810358705651712) (/.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 -999999999999999929757289024535551219930759168) (/.f64 y (.f64 x z)) (if (<=.f64 y 5902958103587057/590295810358705651712) (/.f64 (+.f64 (/.f64 y x) (.f64 1/2 (.f64 x y))) z) (.f64 (/.f64 y z) (+.f64 (*.f64 x 1/2) (/.f64 1 x)))))
(if (<=.f64 y -999999999999999929757289024535551219930759168) (/.f64 y (.f64 z x)) (if (<=.f64 y 100000000000000004764729344) (/.f64 (+.f64 (/.f64 y x) (.f64 1/2 (.f64 y x))) z) (/.f64 y (.f64 z x))))
(if (<=.f64 y -999999999999999929757289024535551219930759168) (/.f64 y (.f64 x z)) (if (<=.f64 y 100000000000000004764729344) (/.f64 (+.f64 (/.f64 y x) (.f64 1/2 (.f64 x y))) z) (/.f64 y (.f64 x z))))
(if (<=.f64 z -10000000) (/.f64 y (.f64 z x)) (if (<=.f64 z 1000000000000000000000) (/.f64 (/.f64 y z) x) (/.f64 y (.f64 z x))))
(if (<=.f64 z -10000000) (/.f64 y (.f64 x z)) (if (<=.f64 z 1000000000000000000000) (/.f64 (/.f64 y z) x) (/.f64 y (.f64 x z))))
(if (<=.f64 y -3402823669209384448/340282366920938463463374607431768211456) (/.f64 (/.f64 y z) x) (if (<=.f64 y 5121992662179293/7957171782556586274486115970349133441607298412757563479047423630290551952200534008528896) (/.f64 (/.f64 y x) z) (/.f64 (/.f64 y z) x)))
(if (<=.f64 y -6646139978924579/664613997892457936451903530140172288) (/.f64 (/.f64 y z) x) (if (<=.f64 y 5121992662179293/7957171782556586274486115970349133441607298412757563479047423630290551952200534008528896) (/.f64 (/.f64 y x) z) (/.f64 (/.f64 y z) x)))
(/.f64 (/.f64 y z) x)

Compiler

Compiled 502 to 271 computations (46% saved)

soundness129.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

806×	`fma-neg_binary64`
755×	`fma-def_binary64`
686×	`unswap-sqr_binary64`
509×	`associate-/l*_binary64`
345×	`associate-/r*_binary64`

Iterations

Useful iterations: 5 (0.0ms)

Iter	Nodes	Cost
0	35	807
1	97	805
2	259	803
3	719	765
4	1933	755
5	4678	750
6	5105	750
7	6116	750
8	7974	750

Stop Event

1×	node limit

Compiler

Compiled 16 to 10 computations (37.5% saved)

end212.0ms (2.1%)

Compiler: Compiled 469 to 184 computations (60.8% saved)