Details

analyze341.0ms (3.1%)

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)

sample3.1s (28.2%)

Results

1.8s	10791×	body	256	invalid
1.2s	8256×	body	256	valid

preprocess78.0ms (0.7%)

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 (0.7%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

1 → 2

Calls

Call 1

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

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

eval1.0ms (0%)

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

prune1.0ms (0%)

Pruning

3 alts after pruning (3 fresh and 0 done)

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

Error

0.1b

Counts

3 → 2

Alt Table

Click to see full alt table

Status	Error	Program
▶	5.8b	(*.f64 y (/.f64 (/.f64 (cosh.f64 x) z) x))
▶	5.9b	(/.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)
✓	0.2b	(/.f64 (/.f64 (cosh.f64 x) z) x)
✓	5.4b	(*.f64 y (/.f64 (/.f64 (cosh.f64 x) z) x))

Compiler

Compiled 26 to 7 computations (73.1% saved)

series24.0ms (0.2%)

Counts

3 → 84

Calls

21 calls:

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

rewrite88.0ms (0.8%)

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)))))))

simplify124.0ms (1.1%)

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)

localize9.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(*.f64 (cosh.f64 x) (/.f64 y x))
✓	5.5b	(/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z)

Compiler

Compiled 25 to 7 computations (72% saved)

series9.0ms (0.1%)

Counts

2 → 60

Calls

15 calls:

Time	Variable		Point	Expression
3.0ms	z	@	inf	(/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z)
1.0ms	y	@	inf	(*.f64 (cosh.f64 x) (/.f64 y x))
1.0ms	x	@	-inf	(*.f64 (cosh.f64 x) (/.f64 y x))
0.0ms	x	@	0	(*.f64 (cosh.f64 x) (/.f64 y x))
0.0ms	x	@	0	(/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z)

rewrite74.0ms (0.7%)

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

simplify107.0ms (1%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 5 (0.0ms)

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

Stop Event

1×	node limit

Counts

165 → 123

Calls

Call 1

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

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

eval117.0ms (1.1%)

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

prune70.0ms (0.6%)

Pruning

14 alts after pruning (13 fresh and 1 done)

	Pruned	Kept	Total
New	296	13	309
Fresh	0	0	0
Picked	1	0	1
Done	0	1	1
Total	297	14	311

Error

Counts

311 → 14

Alt Table

Click to see full alt table

Status	Error	Program
	7.7b	(/.f64 (/.f64 y x) z)
	7.6b	(*.f64 y (/.f64 (/.f64 1 z) x))
✓	5.8b	(*.f64 y (/.f64 (/.f64 (cosh.f64 x) z) x))
	7.7b	(/.f64 (*.f64 y (/.f64 (cosh.f64 x) z)) x)
▶	6.7b	(/.f64 y (*.f64 z x))
▶	7.6b	(*.f64 y (/.f64 (/.f64 1 x) z))
	7.6b	(.f64 y (/.f64 1 (.f64 z x)))
▶	5.9b	(+.f64 (/.f64 y (.f64 x z)) (.f64 y (.f64 (/.f64 x z) (+.f64 (.f64 x (*.f64 x 1/24)) 1/2))))
	8.6b	(/.f64 (/.f64 (*.f64 y (/.f64 (cosh.f64 x) z)) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))
▶	7.0b	(/.f64 (+.f64 (/.f64 y x) (.f64 1/2 (.f64 y x))) z)
	6.2b	(.f64 (cosh.f64 x) (/.f64 1 (.f64 z (/.f64 x y))))
▶	6.0b	(/.f64 (/.f64 (cosh.f64 x) (/.f64 x y)) z)
	8.8b	(.f64 (/.f64 y z) (+.f64 (.f64 x 1/2) (/.f64 1 x)))
	6.9b	(.f64 y (+.f64 (/.f64 1 (.f64 z x)) (*.f64 1/2 (/.f64 x z))))

Compiler

Compiled 339 to 225 computations (33.6% saved)

localize129.0ms (1.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(.f64 x (.f64 x 1/24))
✓	0.4b	(*.f64 x 1/24)
✓	4.7b	(/.f64 y (*.f64 x z))
✓	5.0b	(.f64 y (.f64 (/.f64 x z) (+.f64 (.f64 x (.f64 x 1/24)) 1/2)))

Compiler

Compiled 77 to 39 computations (49.4% saved)

series39.0ms (0.4%)

Counts

4 → 96

Calls

24 calls:

Time	Variable		Point	Expression
10.0ms	x	@	inf	(.f64 y (.f64 (/.f64 x z) (+.f64 (.f64 x (.f64 x 1/24)) 1/2)))
3.0ms	x	@	0	(*.f64 x 1/24)
3.0ms	y	@	0	(.f64 y (.f64 (/.f64 x z) (+.f64 (.f64 x (.f64 x 1/24)) 1/2)))
2.0ms	z	@	0	(.f64 y (.f64 (/.f64 x z) (+.f64 (.f64 x (.f64 x 1/24)) 1/2)))
2.0ms	x	@	0	(.f64 y (.f64 (/.f64 x z) (+.f64 (.f64 x (.f64 x 1/24)) 1/2)))

rewrite183.0ms (1.7%)

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	4546	35

Stop Event

1×	node limit

Counts

4 → 109

Calls

Call 1

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

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

simplify177.0ms (1.6%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	24	1047
1	61	981
2	145	981
3	435	981
4	1596	981
5	4305	981
6	6112	981
7	6911	981
8	7511	981

Stop Event

1×	node limit

Counts

205 → 121

Calls

Call 1

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

Outputs
(/.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 x y)))
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(.f64 (.f64 x y) (/.f64 (fma.f64 1/24 (*.f64 x x) 1/2) z))
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(/.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 x y)))
(.f64 (/.f64 (fma.f64 1/24 (.f64 x x) 1/2) z) (*.f64 x y))
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(.f64 (fma.f64 1/24 (.f64 x x) 1/2) (/.f64 x (/.f64 z y)))
(/.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 x y)))
(.f64 (/.f64 (fma.f64 1/24 (.f64 x x) 1/2) z) (*.f64 x y))
(.f64 (.f64 x y) (/.f64 (fma.f64 1/24 (*.f64 x x) 1/2) z))
(.f64 (fma.f64 1/24 (.f64 x x) 1/2) (*.f64 x (/.f64 y z)))
(.f64 x (.f64 (fma.f64 1/24 (*.f64 x x) 1/2) (/.f64 y z)))
(.f64 (fma.f64 1/24 (.f64 x x) 1/2) (/.f64 x (/.f64 z y)))
(/.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 x y)))
(.f64 (/.f64 (fma.f64 1/24 (.f64 x x) 1/2) z) (*.f64 x y))
(.f64 (.f64 x y) (/.f64 (fma.f64 1/24 (*.f64 x x) 1/2) z))
(.f64 (fma.f64 1/24 (.f64 x x) 1/2) (*.f64 x (/.f64 y z)))
(.f64 x (.f64 (fma.f64 1/24 (*.f64 x x) 1/2) (/.f64 y z)))
(.f64 (fma.f64 1/24 (.f64 x x) 1/2) (/.f64 x (/.f64 z y)))
(/.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 x y)))
(.f64 (/.f64 (fma.f64 1/24 (.f64 x x) 1/2) z) (*.f64 x y))
(.f64 (.f64 x y) (/.f64 (fma.f64 1/24 (*.f64 x x) 1/2) z))
(.f64 (fma.f64 1/24 (.f64 x x) 1/2) (*.f64 x (/.f64 y z)))
(.f64 x (.f64 (fma.f64 1/24 (*.f64 x x) 1/2) (/.f64 y z)))
(.f64 (fma.f64 1/24 (.f64 x x) 1/2) (/.f64 x (/.f64 z y)))
(/.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 x y)))
(.f64 (/.f64 (fma.f64 1/24 (.f64 x x) 1/2) z) (*.f64 x y))
(.f64 (.f64 x y) (/.f64 (fma.f64 1/24 (*.f64 x x) 1/2) z))
(.f64 (fma.f64 1/24 (.f64 x x) 1/2) (*.f64 x (/.f64 y z)))
(.f64 x (.f64 (fma.f64 1/24 (*.f64 x x) 1/2) (/.f64 y z)))
(.f64 (fma.f64 1/24 (.f64 x x) 1/2) (/.f64 x (/.f64 z y)))
(/.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 x y)))
(.f64 (/.f64 (fma.f64 1/24 (.f64 x x) 1/2) z) (*.f64 x y))
(.f64 (.f64 x y) (/.f64 (fma.f64 1/24 (*.f64 x x) 1/2) z))
(.f64 (fma.f64 1/24 (.f64 x x) 1/2) (*.f64 x (/.f64 y z)))
(.f64 x (.f64 (fma.f64 1/24 (*.f64 x x) 1/2) (/.f64 y z)))
(.f64 (fma.f64 1/24 (.f64 x x) 1/2) (/.f64 x (/.f64 z y)))
(/.f64 y (*.f64 z x))
(/.f64 (/.f64 y z) x)
(/.f64 y (*.f64 x z))
(/.f64 (/.f64 y x) z)
(/.f64 y (*.f64 z x))
(/.f64 (/.f64 y z) x)
(/.f64 y (*.f64 x z))
(/.f64 (/.f64 y x) z)
(/.f64 y (*.f64 z x))
(/.f64 (/.f64 y z) x)
(/.f64 y (*.f64 x z))
(/.f64 (/.f64 y x) z)
(/.f64 y (*.f64 z x))
(/.f64 (/.f64 y z) x)
(/.f64 y (*.f64 x z))
(/.f64 (/.f64 y x) z)
(/.f64 y (*.f64 z x))
(/.f64 (/.f64 y z) x)
(/.f64 y (*.f64 x z))
(/.f64 (/.f64 y x) z)
(/.f64 y (*.f64 z x))
(/.f64 (/.f64 y z) x)
(/.f64 y (*.f64 x z))
(/.f64 (/.f64 y x) z)
(/.f64 y (*.f64 z x))
(/.f64 (/.f64 y z) x)
(/.f64 y (*.f64 x z))
(/.f64 (/.f64 y x) z)
(/.f64 y (*.f64 z x))
(/.f64 (/.f64 y z) x)
(/.f64 y (*.f64 x z))
(/.f64 (/.f64 y x) z)
(/.f64 y (*.f64 z x))
(/.f64 (/.f64 y z) x)
(/.f64 y (*.f64 x z))
(/.f64 (/.f64 y x) z)
(/.f64 y (*.f64 z x))
(/.f64 (/.f64 y z) x)
(/.f64 y (*.f64 x z))
(/.f64 (/.f64 y x) z)
(/.f64 y (*.f64 z x))
(/.f64 (/.f64 y z) x)
(/.f64 y (*.f64 x z))
(/.f64 (/.f64 y x) z)
(/.f64 y (*.f64 z x))
(/.f64 (/.f64 y z) x)
(/.f64 y (*.f64 x z))
(/.f64 (/.f64 y x) z)
(/.f64 y (*.f64 z x))
(/.f64 (/.f64 y z) x)
(/.f64 y (*.f64 x z))
(/.f64 (/.f64 y x) z)
(/.f64 y (*.f64 z x))
(/.f64 (/.f64 y z) x)
(/.f64 y (*.f64 x z))
(/.f64 (/.f64 y x) z)
(/.f64 y (*.f64 z x))
(/.f64 (/.f64 y z) x)
(/.f64 y (*.f64 x z))
(/.f64 (/.f64 y x) z)
(/.f64 y (*.f64 z x))
(/.f64 (/.f64 y z) x)
(/.f64 y (*.f64 x z))
(/.f64 (/.f64 y x) z)
(/.f64 y (*.f64 z x))
(/.f64 (/.f64 y z) x)
(/.f64 y (*.f64 x z))
(/.f64 (/.f64 y x) z)
(/.f64 y (*.f64 z x))
(/.f64 (/.f64 y z) x)
(/.f64 y (*.f64 x z))
(/.f64 (/.f64 y x) z)
(/.f64 y (*.f64 z x))
(/.f64 (/.f64 y z) x)
(/.f64 y (*.f64 x z))
(/.f64 (/.f64 y x) z)
(/.f64 y (*.f64 z x))
(/.f64 (/.f64 y z) x)
(/.f64 y (*.f64 x z))
(/.f64 (/.f64 y x) z)
(/.f64 y (*.f64 z x))
(/.f64 (/.f64 y z) x)
(/.f64 y (*.f64 x z))
(/.f64 (/.f64 y x) z)
(/.f64 y (*.f64 z x))
(/.f64 (/.f64 y z) x)
(/.f64 y (*.f64 x z))
(/.f64 (/.f64 y x) z)
(/.f64 y (*.f64 z x))
(/.f64 (/.f64 y z) x)
(/.f64 y (*.f64 x z))
(/.f64 (/.f64 y x) z)
(/.f64 y (*.f64 z x))
(/.f64 (/.f64 y z) x)
(/.f64 y (*.f64 x z))
(/.f64 (/.f64 y x) z)
(/.f64 y (*.f64 z x))
(/.f64 (/.f64 y z) x)
(/.f64 y (*.f64 x z))
(/.f64 (/.f64 y x) z)
(/.f64 y (*.f64 z x))
(/.f64 (/.f64 y z) x)
(/.f64 y (*.f64 x z))
(/.f64 (/.f64 y x) z)
(/.f64 y (*.f64 z x))
(/.f64 (/.f64 y z) x)
(/.f64 y (*.f64 x z))
(/.f64 (/.f64 y x) z)
(/.f64 y (*.f64 z x))
(/.f64 (/.f64 y z) x)
(/.f64 y (*.f64 x z))
(/.f64 (/.f64 y x) z)
(/.f64 y (*.f64 z x))
(/.f64 (/.f64 y z) x)
(/.f64 y (*.f64 x z))
(/.f64 (/.f64 y x) z)
(/.f64 y (*.f64 z x))
(/.f64 (/.f64 y z) x)
(/.f64 y (*.f64 x z))
(/.f64 (/.f64 y x) z)
(/.f64 y (*.f64 z x))
(/.f64 (/.f64 y z) x)
(/.f64 y (*.f64 x z))
(/.f64 (/.f64 y x) z)
(/.f64 y (*.f64 z x))
(/.f64 (/.f64 y z) x)
(/.f64 y (*.f64 x z))
(/.f64 (/.f64 y x) z)
(/.f64 y (*.f64 z x))
(/.f64 (/.f64 y z) x)
(/.f64 y (*.f64 x z))
(/.f64 (/.f64 y x) z)
(/.f64 y (*.f64 z x))
(/.f64 (/.f64 y z) x)
(/.f64 y (*.f64 x z))
(/.f64 (/.f64 y x) z)
(/.f64 y (*.f64 z x))
(/.f64 (/.f64 y z) x)
(/.f64 y (*.f64 x z))
(/.f64 (/.f64 y x) z)
(/.f64 y (*.f64 z x))
(/.f64 (/.f64 y z) x)
(/.f64 y (*.f64 x z))
(/.f64 (/.f64 y x) z)
(*.f64 1/24 x)
(*.f64 1/24 x)
(*.f64 1/24 x)
(*.f64 1/24 x)
(*.f64 1/24 x)
(*.f64 1/24 x)
(*.f64 1/24 x)
(*.f64 1/24 x)
(*.f64 1/24 x)
(*.f64 1/24 x)
(*.f64 1/24 x)
(*.f64 1/24 x)
(*.f64 1/24 (pow.f64 x 2))
(.f64 1/24 (.f64 x x))
(*.f64 1/24 (pow.f64 x 2))
(.f64 1/24 (.f64 x x))
(*.f64 1/24 (pow.f64 x 2))
(.f64 1/24 (.f64 x x))
(*.f64 1/24 (pow.f64 x 2))
(.f64 1/24 (.f64 x x))
(*.f64 1/24 (pow.f64 x 2))
(.f64 1/24 (.f64 x x))
(*.f64 1/24 (pow.f64 x 2))
(.f64 1/24 (.f64 x x))
(*.f64 1/24 (pow.f64 x 2))
(.f64 1/24 (.f64 x x))
(*.f64 1/24 (pow.f64 x 2))
(.f64 1/24 (.f64 x x))
(*.f64 1/24 (pow.f64 x 2))
(.f64 1/24 (.f64 x x))
(*.f64 1/24 (pow.f64 x 2))
(.f64 1/24 (.f64 x x))
(*.f64 1/24 (pow.f64 x 2))
(.f64 1/24 (.f64 x x))
(*.f64 1/24 (pow.f64 x 2))
(.f64 1/24 (.f64 x x))

localize5.0ms (0%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	4.7b	(/.f64 y (*.f64 z x))

Compiler

Compiled 14 to 5 computations (64.3% saved)

series3.0ms (0%)

Counts

1 → 0

Calls

9 calls:

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

rewrite60.0ms (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))))))))

simplify8.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	0	0

Stop Event

1×

saturated

Counts

38 → 38

Calls

Call 1

Inputs

Outputs

localize12.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.3b	(/.f64 (/.f64 1 x) z)
✓	5.5b	(*.f64 y (/.f64 (/.f64 1 x) z))

Compiler

Compiled 22 to 13 computations (40.9% saved)

series6.0ms (0.1%)

Counts

2 → 60

Calls

15 calls:

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

rewrite131.0ms (1.2%)

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))))))))

simplify15.0ms (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)

localize13.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(.f64 1/2 (.f64 y x))
✓	0.0b	(+.f64 (/.f64 y x) (.f64 1/2 (.f64 y x)))
✓	5.5b	(/.f64 (+.f64 (/.f64 y x) (.f64 1/2 (.f64 y x))) z)

Compiler

Compiled 38 to 15 computations (60.5% saved)

series11.0ms (0.1%)

Counts

3 → 39

Calls

21 calls:

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

rewrite260.0ms (2.4%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

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

Stop Event

1×	node limit

Counts

3 → 129

Calls

Call 1

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

Outputs

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

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

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

simplify151.0ms (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))

localize9.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.3b	(/.f64 (cosh.f64 x) (/.f64 x y))
✓	5.5b	(/.f64 (/.f64 (cosh.f64 x) (/.f64 x y)) z)

Compiler

Compiled 25 to 7 computations (72% saved)

series13.0ms (0.1%)

Counts

2 → 60

Calls

15 calls:

Time	Variable		Point	Expression
7.0ms	z	@	inf	(/.f64 (/.f64 (cosh.f64 x) (/.f64 x y)) z)
1.0ms	y	@	inf	(/.f64 (/.f64 (cosh.f64 x) (/.f64 x y)) z)
1.0ms	x	@	0	(/.f64 (/.f64 (cosh.f64 x) (/.f64 x y)) z)
0.0ms	z	@	-inf	(/.f64 (/.f64 (cosh.f64 x) (/.f64 x y)) z)
0.0ms	x	@	inf	(/.f64 (/.f64 (cosh.f64 x) (/.f64 x y)) z)

rewrite172.0ms (1.6%)

Algorithm

1×	batch-egg-rewrite

Rules

574×	`log-prod_binary64`
446×	`exp-prod_binary64`
330×	`pow-prod-down_binary64`
259×	`pow2_binary64`
208×	`log-div_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	21
1	182	21
2	2846	21

Stop Event

1×	node limit

Counts

2 → 116

Calls

Call 1

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

Outputs

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

simplify148.0ms (1.4%)

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

176 → 134

Calls

Call 1

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

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

eval300.0ms (2.7%)

Compiler: Compiled 7989 to 3561 computations (55.4% saved)

prune202.0ms (1.9%)

Pruning

19 alts after pruning (14 fresh and 5 done)

	Pruned	Kept	Total
New	483	9	492
Fresh	3	5	8
Picked	0	1	1
Done	1	4	5
Total	487	19	506

Error

Counts

506 → 19

Alt Table

Click to see full alt table

Status	Error	Program
	8.3b	(/.f64 1 (/.f64 z (/.f64 y x)))
▶	9.5b	(*.f64 (/.f64 y z) (/.f64 1 x))
	57.6b	(/.f64 (.f64 1/2 (.f64 y x)) z)
	7.6b	(.f64 (/.f64 1 (.f64 z x)) y)
▶	7.7b	(/.f64 (/.f64 y x) z)
	7.6b	(*.f64 y (/.f64 (/.f64 1 z) x))
✓	5.8b	(*.f64 y (/.f64 (/.f64 (cosh.f64 x) z) x))
	7.7b	(/.f64 (*.f64 y (/.f64 (cosh.f64 x) z)) x)
	6.9b	(+.f64 (/.f64 (/.f64 y x) z) (.f64 y (.f64 (/.f64 x z) (+.f64 (.f64 x (.f64 x 1/24)) 1/2))))
	36.3b	(.f64 y (.f64 (/.f64 1 (sqrt.f64 z)) (/.f64 (/.f64 1 x) (sqrt.f64 z))))
✓	6.0b	(/.f64 (/.f64 (cosh.f64 x) (/.f64 x y)) z)
	8.8b	(.f64 (/.f64 y z) (+.f64 (.f64 x 1/2) (/.f64 1 x)))
	7.2b	(/.f64 (.f64 (+.f64 (.f64 1/2 x) (/.f64 1 x)) y) z)
✓	6.7b	(/.f64 y (*.f64 z x))
✓	7.6b	(*.f64 y (/.f64 (/.f64 1 x) z))
✓	7.0b	(/.f64 (+.f64 (/.f64 y x) (.f64 1/2 (.f64 y x))) z)
▶	6.2b	(*.f64 (/.f64 (cosh.f64 x) 1) (/.f64 (/.f64 y x) z))
▶	7.9b	(/.f64 (*.f64 (/.f64 -1 x) y) (neg.f64 z))
▶	6.9b	(.f64 y (+.f64 (/.f64 1 (.f64 z x)) (*.f64 1/2 (/.f64 x z))))

Compiler

Compiled 404 to 275 computations (31.9% saved)

localize26.0ms (0.2%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.3b	(*.f64 (/.f64 (cosh.f64 x) 1) (/.f64 (/.f64 y x) z))
✓	5.5b	(/.f64 (/.f64 y x) z)

Compiler

Compiled 31 to 12 computations (61.3% saved)

series9.0ms (0.1%)

Counts

2 → 72

Calls

18 calls:

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

rewrite97.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

544×	`log-prod_binary64`
408×	`exp-prod_binary64`
386×	`pow-prod-down_binary64`
264×	`pow2_binary64`
247×	`log-div_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	19
1	221	19
2	2901	19

Stop Event

1×	node limit

Counts

2 → 130

Calls

Call 1

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

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

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

simplify371.0ms (3.4%)

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	1059
1	97	1057
2	259	1055
3	719	1017
4	1933	1007
5	4678	1002
6	5105	1002
7	6116	1002
8	7974	1002

Stop Event

1×	node limit

Counts

202 → 140

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))
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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 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)))

localize10.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
	5.5b	(/.f64 (/.f64 y x) z)

Compiler

Compiled 14 to 5 computations (64.3% saved)

localize15.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	7.7b	(*.f64 (/.f64 y z) (/.f64 1 x))

Compiler

Compiled 20 to 10 computations (50% saved)

series5.0ms (0%)

Counts

1 → 36

Calls

9 calls:

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

rewrite98.0ms (0.9%)

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)))))))

simplify21.0ms (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))

localize19.0ms (0.2%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.3b	(*.f64 (/.f64 -1 x) y)
✓	5.5b	(/.f64 (*.f64 (/.f64 -1 x) y) (neg.f64 z))

Compiler

Compiled 25 to 14 computations (44% saved)

series9.0ms (0.1%)

Counts

2 → 60

Calls

15 calls:

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

rewrite97.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

939×	`pow1_binary64`
869×	`add-log-exp_binary64`
867×	`log1p-expm1-u_binary64`
867×	`expm1-log1p-u_binary64`
96×	`add-sqr-sqrt_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	9	19
1	190	15
2	2702	15

Stop Event

1×	node limit

Counts

2 → 70

Calls

Call 1

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

Outputs

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

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

simplify29.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

14×	`fma-def_binary64`
11×	`sub-neg_binary64`
6×	`+-commutative_binary64`
6×	`div-sub_binary64`
4×	`*-commutative_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	396
1	16	396
2	24	396
3	30	396
4	36	396
5	44	396
6	52	396
7	64	396
8	81	396
9	99	396
10	100	396

Stop Event

1×

saturated

Counts

130 → 72

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 y x))
(*.f64 -1 (/.f64 y x))
(*.f64 -1 (/.f64 y x))
(*.f64 -1 (/.f64 y x))
(*.f64 -1 (/.f64 y x))
(*.f64 -1 (/.f64 y x))
(*.f64 -1 (/.f64 y x))
(*.f64 -1 (/.f64 y x))
(*.f64 -1 (/.f64 y x))
(*.f64 -1 (/.f64 y x))
(*.f64 -1 (/.f64 y x))
(*.f64 -1 (/.f64 y x))
(*.f64 -1 (/.f64 y x))
(*.f64 -1 (/.f64 y x))
(*.f64 -1 (/.f64 y x))
(*.f64 -1 (/.f64 y x))
(*.f64 -1 (/.f64 y x))
(*.f64 -1 (/.f64 y x))
(*.f64 -1 (/.f64 y x))
(*.f64 -1 (/.f64 y x))
(*.f64 -1 (/.f64 y x))
(*.f64 -1 (/.f64 y x))
(*.f64 -1 (/.f64 y x))
(*.f64 -1 (/.f64 y 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 y x))
(neg.f64 (/.f64 y x))
(/.f64 (neg.f64 y) x)
(*.f64 -1 (/.f64 y x))
(neg.f64 (/.f64 y x))
(/.f64 (neg.f64 y) x)
(*.f64 -1 (/.f64 y x))
(neg.f64 (/.f64 y x))
(/.f64 (neg.f64 y) x)
(*.f64 -1 (/.f64 y x))
(neg.f64 (/.f64 y x))
(/.f64 (neg.f64 y) x)
(*.f64 -1 (/.f64 y x))
(neg.f64 (/.f64 y x))
(/.f64 (neg.f64 y) x)
(*.f64 -1 (/.f64 y x))
(neg.f64 (/.f64 y x))
(/.f64 (neg.f64 y) x)
(*.f64 -1 (/.f64 y x))
(neg.f64 (/.f64 y x))
(/.f64 (neg.f64 y) x)
(*.f64 -1 (/.f64 y x))
(neg.f64 (/.f64 y x))
(/.f64 (neg.f64 y) x)
(*.f64 -1 (/.f64 y x))
(neg.f64 (/.f64 y x))
(/.f64 (neg.f64 y) x)
(*.f64 -1 (/.f64 y x))
(neg.f64 (/.f64 y x))
(/.f64 (neg.f64 y) x)
(*.f64 -1 (/.f64 y x))
(neg.f64 (/.f64 y x))
(/.f64 (neg.f64 y) x)
(*.f64 -1 (/.f64 y x))
(neg.f64 (/.f64 y x))
(/.f64 (neg.f64 y) x)
(*.f64 -1 (/.f64 y x))
(neg.f64 (/.f64 y x))
(/.f64 (neg.f64 y) x)
(*.f64 -1 (/.f64 y x))
(neg.f64 (/.f64 y x))
(/.f64 (neg.f64 y) x)
(*.f64 -1 (/.f64 y x))
(neg.f64 (/.f64 y x))
(/.f64 (neg.f64 y) x)
(*.f64 -1 (/.f64 y x))
(neg.f64 (/.f64 y x))
(/.f64 (neg.f64 y) x)
(*.f64 -1 (/.f64 y x))
(neg.f64 (/.f64 y x))
(/.f64 (neg.f64 y) x)
(*.f64 -1 (/.f64 y x))
(neg.f64 (/.f64 y x))
(/.f64 (neg.f64 y) x)
(*.f64 -1 (/.f64 y x))
(neg.f64 (/.f64 y x))
(/.f64 (neg.f64 y) x)
(*.f64 -1 (/.f64 y x))
(neg.f64 (/.f64 y x))
(/.f64 (neg.f64 y) x)
(*.f64 -1 (/.f64 y x))
(neg.f64 (/.f64 y x))
(/.f64 (neg.f64 y) x)
(*.f64 -1 (/.f64 y x))
(neg.f64 (/.f64 y x))
(/.f64 (neg.f64 y) x)
(*.f64 -1 (/.f64 y x))
(neg.f64 (/.f64 y x))
(/.f64 (neg.f64 y) x)
(*.f64 -1 (/.f64 y x))
(neg.f64 (/.f64 y x))
(/.f64 (neg.f64 y) x)

localize15.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 (/.f64 1 (.f64 z x)) (.f64 1/2 (/.f64 x z)))
✓	0.0b	(*.f64 1/2 (/.f64 x z))
✓	0.2b	(/.f64 1 (*.f64 z x))
✓	5.4b	(.f64 y (+.f64 (/.f64 1 (.f64 z x)) (*.f64 1/2 (/.f64 x z))))

Compiler

Compiled 48 to 22 computations (54.2% saved)

series22.0ms (0.2%)

Counts

4 → 39

Calls

27 calls:

Time	Variable		Point	Expression
9.0ms	x	@	inf	(*.f64 1/2 (/.f64 x z))
2.0ms	x	@	inf	(.f64 y (+.f64 (/.f64 1 (.f64 z x)) (*.f64 1/2 (/.f64 x z))))
1.0ms	y	@	0	(.f64 y (+.f64 (/.f64 1 (.f64 z x)) (*.f64 1/2 (/.f64 x z))))
1.0ms	z	@	0	(.f64 y (+.f64 (/.f64 1 (.f64 z x)) (*.f64 1/2 (/.f64 x z))))
1.0ms	z	@	-inf	(.f64 y (+.f64 (/.f64 1 (.f64 z x)) (*.f64 1/2 (/.f64 x z))))

rewrite108.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

676×	`log-prod_binary64`
350×	`fma-def_binary64`
340×	`pow2_binary64`
240×	`pow1/3_binary64`
231×	`expm1-udef_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	12	49
1	263	45
2	3761	45

Stop Event

1×	node limit

Counts

4 → 190

Calls

Call 1

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

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

simplify142.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

1341×	`fma-neg_binary64`
905×	`div-sub_binary64`
565×	`fma-def_binary64`
430×	`associate-/l*_binary64`
282×	`distribute-neg-frac_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	30	474
1	69	474
2	145	474
3	320	474
4	744	474
5	1787	474
6	3570	474
7	4942	474
8	5571	474
9	6699	474
10	7041	474
11	7319	474
12	7897	474

Stop Event

1×	node limit

Counts

229 → 205

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

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

eval133.0ms (1.2%)

Compiler: Compiled 7376 to 3108 computations (57.9% saved)

prune170.0ms (1.6%)

Pruning

17 alts after pruning (11 fresh and 6 done)

	Pruned	Kept	Total
New	515	8	523
Fresh	6	3	9
Picked	0	1	1
Done	4	5	9
Total	525	17	542

Error

Counts

542 → 17

Alt Table

Click to see full alt table

Status	Error	Program
	57.6b	(.f64 y (.f64 x (/.f64 1/2 z)))
✓	7.0b	(/.f64 (+.f64 (/.f64 y x) (.f64 1/2 (.f64 y x))) z)
✓	7.7b	(/.f64 (/.f64 y x) z)
	7.0b	(.f64 y (+.f64 (.f64 (/.f64 1 z) (/.f64 1 x)) (*.f64 1/2 (/.f64 x z))))
▶	7.6b	(*.f64 y (/.f64 (/.f64 1 z) x))
▶	7.8b	(/.f64 (/.f64 -1 (/.f64 x y)) (neg.f64 z))
✓	6.2b	(*.f64 (/.f64 (cosh.f64 x) 1) (/.f64 (/.f64 y x) z))
▶	5.0b	(/.f64 (.f64 (cosh.f64 x) y) (.f64 x z))
▶	9.4b	(/.f64 (/.f64 y z) x)
	7.6b	(.f64 (/.f64 1 (.f64 z x)) y)
	10.5b	(/.f64 (/.f64 1 x) (/.f64 z y))
✓	5.8b	(*.f64 y (/.f64 (/.f64 (cosh.f64 x) z) x))
▶	6.8b	(/.f64 y (/.f64 z (/.f64 1 x)))
	7.0b	(.f64 y (/.f64 (+.f64 (.f64 1/2 x) (/.f64 1 x)) z))
	6.9b	(+.f64 (/.f64 (/.f64 y x) z) (.f64 y (.f64 (/.f64 x z) (+.f64 (.f64 x (.f64 x 1/24)) 1/2))))
✓	6.9b	(.f64 y (+.f64 (/.f64 1 (.f64 z x)) (*.f64 1/2 (/.f64 x z))))
✓	6.7b	(/.f64 y (*.f64 z x))

Compiler

Compiled 338 to 230 computations (32% saved)

localize9.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(*.f64 (cosh.f64 x) y)
✓	4.7b	(/.f64 (.f64 (cosh.f64 x) y) (.f64 x z))

Compiler

Compiled 23 to 7 computations (69.6% saved)

series7.0ms (0.1%)

Counts

2 → 60

Calls

15 calls:

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

rewrite106.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

572×	`log-prod_binary64`
445×	`exp-prod_binary64`
325×	`pow-prod-down_binary64`
251×	`div-exp_binary64`
247×	`pow2_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	18
1	174	18
2	2626	18

Stop Event

1×	node limit

Counts

2 → 99

Calls

Call 1

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

Outputs

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

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

simplify91.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

650×	`fma-def_binary64`
593×	`associate-/r/_binary64`
589×	`associate-/r*_binary64`
517×	`associate-/l/_binary64`
416×	`times-frac_binary64`

Iterations

Useful iterations: 5 (0.0ms)

Iter	Nodes	Cost
0	51	1191
1	144	1189
2	401	1135
3	1301	1123
4	3461	1118
5	7716	1114

Stop Event

1×	node limit

Counts

159 → 118

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

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

localize7.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	7.6b	(/.f64 (/.f64 y z) x)

Compiler

Compiled 14 to 5 computations (64.3% saved)

series2.0ms (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	x	@	-inf	(/.f64 (/.f64 y z) x)
0.0ms	y	@	inf	(/.f64 (/.f64 y z) x)

rewrite70.0ms (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)))))))

simplify12.0ms (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))

localize10.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.3b	(/.f64 (/.f64 1 z) x)
✓	5.5b	(*.f64 y (/.f64 (/.f64 1 z) x))

Compiler

Compiled 22 to 13 computations (40.9% saved)

series4.0ms (0%)

Counts

2 → 60

Calls

15 calls:

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

rewrite62.0ms (0.6%)

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))))))))

simplify14.0ms (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 → 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)

localize36.0ms (0.3%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.2b	(/.f64 z (/.f64 1 x))
✓	4.7b	(/.f64 y (/.f64 z (/.f64 1 x)))

Compiler

Compiled 22 to 13 computations (40.9% saved)

series5.0ms (0%)

Counts

2 → 60

Calls

15 calls:

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

rewrite72.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

920×	`pow1_binary64`
853×	`add-log-exp_binary64`
853×	`log1p-expm1-u_binary64`
853×	`expm1-log1p-u_binary64`
833×	`add-exp-log_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	8	17
1	172	11
2	2401	11

Stop Event

1×	node limit

Counts

2 → 75

Calls

Call 1

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

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

simplify13.0ms (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	348
1	9	348
2	11	348

Stop Event

1×

saturated

Counts

135 → 76

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 z x)
(*.f64 z x)
(*.f64 z x)
(*.f64 z x)
(*.f64 z x)
(*.f64 z x)
(*.f64 z x)
(*.f64 z x)
(*.f64 z x)
(*.f64 z x)
(*.f64 z x)
(*.f64 z x)
(*.f64 z x)
(*.f64 z x)
(*.f64 z x)
(*.f64 z x)
(*.f64 z x)
(*.f64 z x)
(*.f64 z x)
(*.f64 z x)
(*.f64 z x)
(*.f64 z x)
(*.f64 z x)
(*.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 z x)
(*.f64 z x)
(*.f64 z x)
(*.f64 z x)
(*.f64 z x)
(*.f64 z x)
(*.f64 z x)
(*.f64 z x)
(*.f64 z x)
(*.f64 z x)
(*.f64 z x)
(*.f64 z x)
(*.f64 z x)
(*.f64 z x)
(*.f64 z x)
(*.f64 z x)
(*.f64 z x)
(*.f64 z x)
(*.f64 z x)
(*.f64 z x)
(*.f64 z x)
(*.f64 z x)
(*.f64 z x)
(*.f64 z x)

localize84.0ms (0.8%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.3b	(/.f64 -1 (/.f64 x y))
✓	5.5b	(/.f64 (/.f64 -1 (/.f64 x y)) (neg.f64 z))

Compiler

Compiled 25 to 11 computations (56% saved)

series4.0ms (0%)

Counts

2 → 60

Calls

15 calls:

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

rewrite64.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

977×	`pow1_binary64`
906×	`add-log-exp_binary64`
904×	`log1p-expm1-u_binary64`
904×	`expm1-log1p-u_binary64`
100×	`add-sqr-sqrt_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	9	19
1	196	13
2	2906	13

Stop Event

1×	node limit

Counts

2 → 70

Calls

Call 1

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

Outputs

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

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

simplify60.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

14×	`fma-def_binary64`
11×	`sub-neg_binary64`
6×	`+-commutative_binary64`
6×	`div-sub_binary64`
4×	`*-commutative_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	396
1	16	396
2	24	396
3	30	396
4	36	396
5	44	396
6	52	396
7	64	396
8	81	396
9	99	396
10	100	396

Stop Event

1×

saturated

Counts

130 → 72

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 y x))
(*.f64 -1 (/.f64 y x))
(*.f64 -1 (/.f64 y x))
(*.f64 -1 (/.f64 y x))
(*.f64 -1 (/.f64 y x))
(*.f64 -1 (/.f64 y x))
(*.f64 -1 (/.f64 y x))
(*.f64 -1 (/.f64 y x))
(*.f64 -1 (/.f64 y x))
(*.f64 -1 (/.f64 y x))
(*.f64 -1 (/.f64 y x))
(*.f64 -1 (/.f64 y x))
(*.f64 -1 (/.f64 y x))
(*.f64 -1 (/.f64 y x))
(*.f64 -1 (/.f64 y x))
(*.f64 -1 (/.f64 y x))
(*.f64 -1 (/.f64 y x))
(*.f64 -1 (/.f64 y x))
(*.f64 -1 (/.f64 y x))
(*.f64 -1 (/.f64 y x))
(*.f64 -1 (/.f64 y x))
(*.f64 -1 (/.f64 y x))
(*.f64 -1 (/.f64 y x))
(*.f64 -1 (/.f64 y 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 y x))
(neg.f64 (/.f64 y x))
(/.f64 (neg.f64 y) x)
(*.f64 -1 (/.f64 y x))
(neg.f64 (/.f64 y x))
(/.f64 (neg.f64 y) x)
(*.f64 -1 (/.f64 y x))
(neg.f64 (/.f64 y x))
(/.f64 (neg.f64 y) x)
(*.f64 -1 (/.f64 y x))
(neg.f64 (/.f64 y x))
(/.f64 (neg.f64 y) x)
(*.f64 -1 (/.f64 y x))
(neg.f64 (/.f64 y x))
(/.f64 (neg.f64 y) x)
(*.f64 -1 (/.f64 y x))
(neg.f64 (/.f64 y x))
(/.f64 (neg.f64 y) x)
(*.f64 -1 (/.f64 y x))
(neg.f64 (/.f64 y x))
(/.f64 (neg.f64 y) x)
(*.f64 -1 (/.f64 y x))
(neg.f64 (/.f64 y x))
(/.f64 (neg.f64 y) x)
(*.f64 -1 (/.f64 y x))
(neg.f64 (/.f64 y x))
(/.f64 (neg.f64 y) x)
(*.f64 -1 (/.f64 y x))
(neg.f64 (/.f64 y x))
(/.f64 (neg.f64 y) x)
(*.f64 -1 (/.f64 y x))
(neg.f64 (/.f64 y x))
(/.f64 (neg.f64 y) x)
(*.f64 -1 (/.f64 y x))
(neg.f64 (/.f64 y x))
(/.f64 (neg.f64 y) x)
(*.f64 -1 (/.f64 y x))
(neg.f64 (/.f64 y x))
(/.f64 (neg.f64 y) x)
(*.f64 -1 (/.f64 y x))
(neg.f64 (/.f64 y x))
(/.f64 (neg.f64 y) x)
(*.f64 -1 (/.f64 y x))
(neg.f64 (/.f64 y x))
(/.f64 (neg.f64 y) x)
(*.f64 -1 (/.f64 y x))
(neg.f64 (/.f64 y x))
(/.f64 (neg.f64 y) x)
(*.f64 -1 (/.f64 y x))
(neg.f64 (/.f64 y x))
(/.f64 (neg.f64 y) x)
(*.f64 -1 (/.f64 y x))
(neg.f64 (/.f64 y x))
(/.f64 (neg.f64 y) x)
(*.f64 -1 (/.f64 y x))
(neg.f64 (/.f64 y x))
(/.f64 (neg.f64 y) x)
(*.f64 -1 (/.f64 y x))
(neg.f64 (/.f64 y x))
(/.f64 (neg.f64 y) x)
(*.f64 -1 (/.f64 y x))
(neg.f64 (/.f64 y x))
(/.f64 (neg.f64 y) x)
(*.f64 -1 (/.f64 y x))
(neg.f64 (/.f64 y x))
(/.f64 (neg.f64 y) x)
(*.f64 -1 (/.f64 y x))
(neg.f64 (/.f64 y x))
(/.f64 (neg.f64 y) x)
(*.f64 -1 (/.f64 y x))
(neg.f64 (/.f64 y x))
(/.f64 (neg.f64 y) x)

eval140.0ms (1.3%)

Compiler: Compiled 4095 to 1576 computations (61.5% saved)

prune127.0ms (1.2%)

Pruning

17 alts after pruning (7 fresh and 10 done)

	Pruned	Kept	Total
New	359	1	360
Fresh	0	6	6
Picked	0	1	1
Done	1	9	10
Total	360	17	377

Error

Counts

377 → 17

Alt Table

Click to see full alt table

Status	Error	Program
	57.6b	(.f64 y (.f64 x (/.f64 1/2 z)))
✓	7.0b	(/.f64 (+.f64 (/.f64 y x) (.f64 1/2 (.f64 y x))) z)
✓	7.7b	(/.f64 (/.f64 y x) z)
	7.0b	(.f64 y (+.f64 (.f64 (/.f64 1 z) (/.f64 1 x)) (*.f64 1/2 (/.f64 x z))))
✓	7.6b	(*.f64 y (/.f64 (/.f64 1 z) x))
✓	5.0b	(/.f64 (.f64 (cosh.f64 x) y) (.f64 x z))
✓	9.4b	(/.f64 (/.f64 y z) x)
	7.6b	(.f64 (/.f64 1 (.f64 z x)) y)
	10.5b	(/.f64 (/.f64 1 x) (/.f64 z y))
✓	5.8b	(*.f64 y (/.f64 (/.f64 (cosh.f64 x) z) x))
✓	7.8b	(/.f64 (/.f64 -1 (/.f64 x y)) (neg.f64 z))
✓	6.8b	(/.f64 y (/.f64 z (/.f64 1 x)))
	7.0b	(.f64 y (/.f64 (+.f64 (.f64 1/2 x) (/.f64 1 x)) z))
	6.9b	(+.f64 (/.f64 (/.f64 y x) z) (.f64 y (.f64 (/.f64 x z) (+.f64 (.f64 x (.f64 x 1/24)) 1/2))))
	5.8b	(.f64 (/.f64 (cosh.f64 x) (.f64 x z)) y)
✓	6.9b	(.f64 y (+.f64 (/.f64 1 (.f64 z x)) (*.f64 1/2 (/.f64 x z))))
✓	6.7b	(/.f64 y (*.f64 z x))

Compiler

Compiled 202 to 136 computations (32.7% saved)

regimes280.0ms (2.6%)

Counts

33 → 3

Calls

Call 1

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

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

Calls

5 calls:

70.0ms	y
70.0ms	(*.f64 (cosh.f64 x) (/.f64 y x))
66.0ms	(/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z)
47.0ms	z
16.0ms	x

Results

Error	Segments	Branch
5.0b	1	`x`
0.2b	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))`

Compiler

Compiled 341 to 168 computations (50.7% saved)

bsearch1.0ms (0%)

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	3.460917703761331e+91	1.4707677395289923e+99
0.0ms	-2.752758881859967e+245	-5.607468245884104e+230

Compiler

Compiled 17 to 12 computations (29.4% saved)

regimes154.0ms (1.4%)

Counts

28 → 3

Calls

Call 1

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

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

Calls

3 calls:

62.0ms	z
47.0ms	x
38.0ms	y

Results

Error	Segments	Branch
5.0b	1	`x`
0.2b	3	`y`
0.2b	3	`z`

Compiler

Compiled 266 to 133 computations (50% saved)

bsearch23.0ms (0.2%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
6.0ms	5.004373539352615e-96	9.94831921089155e-94
16.0ms	-0.05965039815369311	-0.0031365593422471513

Compiler

Compiled 65 to 44 computations (32.3% saved)

regimes116.0ms (1.1%)

Counts

25 → 3

Calls

Call 1

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

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

Calls

3 calls:

38.0ms	z
35.0ms	y
33.0ms	x

Results

Error	Segments	Branch
3.6b	3	`x`
0.6b	3	`y`
0.6b	3	`z`

Compiler

Compiled 242 to 126 computations (47.9% saved)

bsearch24.0ms (0.2%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
7.0ms	5.004373539352615e-96	9.94831921089155e-94
17.0ms	-2.0963826230194582e+20	-7535139.586951477

Compiler

Compiled 87 to 58 computations (33.3% saved)

regimes215.0ms (2%)

Counts

24 → 3

Calls

Call 1

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

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

Calls

3 calls:

94.0ms	y
79.0ms	x
35.0ms	z

Results

Error	Segments	Branch
3.9b	3	`x`
0.7b	3	`y`
0.7b	3	`z`

Compiler

Compiled 234 to 124 computations (47% saved)

bsearch76.0ms (0.7%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
54.0ms	5.56800522537973e-103	9.087698610825926e-94
21.0ms	-1.9385878763675781e-53	-1.2265169252765447e-68

Compiler

Compiled 17 to 12 computations (29.4% saved)

regimes207.0ms (1.9%)

Counts

23 → 3

Calls

Call 1

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

Outputs

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

(+.f64 (/.f64 (/.f64 y x) z) (*.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:

124.0ms	z
38.0ms	y
35.0ms	x

Results

Error	Segments	Branch
5.9b	1	`x`
1.1b	3	`y`
1.1b	3	`z`

Compiler

Compiled 226 to 121 computations (46.5% saved)

bsearch138.0ms (1.3%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
20.0ms	6.911847838233509e-51	6.1899033187344015e-46
118.0ms	-1.7261563117920746e-12	-1.4835800907860845e-12

Compiler

Compiled 49 to 33 computations (32.7% saved)

regimes169.0ms (1.6%)

Counts

22 → 3

Calls

Call 1

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

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

Calls

3 calls:

64.0ms	y
59.0ms	z
33.0ms	x

Results

Error	Segments	Branch
5.3b	2	`x`
1.1b	3	`y`
1.4b	3	`z`

Compiler

Compiled 207 to 111 computations (46.4% saved)

bsearch42.0ms (0.4%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
23.0ms	1.6406860354170332e-27	4.0895709802600455e-27
19.0ms	-1.7261563117920746e-12	-1.4835800907860845e-12

Compiler

Compiled 49 to 33 computations (32.7% saved)

regimes142.0ms (1.3%)

Counts

21 → 3

Calls

Call 1

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

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

Calls

3 calls:

69.0ms	z
36.0ms	x
32.0ms	y

Results

Error	Segments	Branch
5.4b	2	`x`
1.3b	3	`y`
1.4b	3	`z`

Compiler

Compiled 188 to 103 computations (45.2% saved)

bsearch41.0ms (0.4%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
21.0ms	6.1899033187344015e-46	1.1919698611370528e-43
20.0ms	-1.7261563117920746e-12	-1.4835800907860845e-12

Compiler

Compiled 41 to 28 computations (31.7% saved)

regimes129.0ms (1.2%)

Counts

17 → 3

Calls

Call 1

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

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

Calls

3 calls:

69.0ms	z
30.0ms	x
25.0ms	y

Results

Error	Segments	Branch
5.5b	2	`x`
1.4b	3	`y`
1.5b	3	`z`

Compiler

Compiled 138 to 77 computations (44.2% saved)

bsearch40.0ms (0.4%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
19.0ms	5.647861173611128e-52	6.911847838233509e-51
20.0ms	-1.7261563117920746e-12	-1.4835800907860845e-12

Compiler

Compiled 41 to 29 computations (29.3% saved)

regimes72.0ms (0.7%)

Counts

16 → 3

Calls

Call 1

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

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

Calls

3 calls:

31.0ms	y
24.0ms	z
10.0ms	x

Results

Error	Segments	Branch
6.7b	1	`x`
1.6b	3	`y`
1.6b	3	`z`

Compiler

Compiled 127 to 70 computations (44.9% saved)

bsearch42.0ms (0.4%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
21.0ms	6.1899033187344015e-46	1.1919698611370528e-43
21.0ms	-1.9385878763675781e-53	-1.2265169252765447e-68

Compiler

Compiled 17 to 12 computations (29.4% saved)

regimes70.0ms (0.6%)

Counts

15 → 3

Calls

Call 1

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

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

Calls

3 calls:

29.0ms	z
26.0ms	y
11.0ms	x

Results

Error	Segments	Branch
6.7b	1	`x`
2.0b	3	`y`
2.0b	3	`z`

Compiler

Compiled 116 to 63 computations (45.7% saved)

bsearch44.0ms (0.4%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
22.0ms	6.911847838233509e-51	6.1899033187344015e-46
21.0ms	-1.6375526347774038e-20	-3.4828695234905994e-24

Compiler

Compiled 35 to 24 computations (31.4% saved)

regimes22.0ms (0.2%)

Accuracy

Total -13.2b remaining (-668.1%)

Threshold costs -13.2b (-668.1%)

Counts

2 → 3

Calls

Call 1

Inputs
(/.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:

9.0ms	y
6.0ms	x
6.0ms	z

Results

Error	Segments	Branch
7.7b	1	`x`
2.0b	3	`y`
7.7b	1	`z`

Compiler

Compiled 25 to 16 computations (36% saved)

bsearch45.0ms (0.4%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
22.0ms	7.690322819169734e-63	5.647861173611128e-52
23.0ms	-1.6375526347774038e-20	-3.4828695234905994e-24

Compiler

Compiled 35 to 24 computations (31.4% saved)

simplify22.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	97	597
1	119	597

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(if (<=.f64 (.f64 (cosh.f64 x) (/.f64 y x)) -200000000000000008865591331916694877000857933217272512160395875661926954165237823719168356730340153384902021777125683944200820531246613453659458355377824296650910559620209942066205153823999633833272476105465504214545753911342860863491894855860224) (/.f64 (/.f64 1 x) (/.f64 z y)) (if (<=.f64 (.f64 (cosh.f64 x) (/.f64 y x)) 50000000000000002168864848730959303664514666247596965589588689466805840644484055547066187776) (/.f64 (.f64 (cosh.f64 x) (/.f64 y x)) z) (/.f64 y (.f64 z x))))
(if (<=.f64 z -5764607523034235/576460752303423488) (/.f64 (.f64 (cosh.f64 x) y) (.f64 x z)) (if (<=.f64 z 6012269011901013/601226901190101306339707032778070279008174732520529886901066488712245510429339761526706943586500787976175353856) (/.f64 (.f64 y (/.f64 (cosh.f64 x) z)) x) (/.f64 (.f64 (cosh.f64 x) y) (*.f64 x z))))
(if (<=.f64 z -100000000000000000000) (/.f64 (.f64 (cosh.f64 x) y) (.f64 x z)) (if (<=.f64 z 6012269011901013/601226901190101306339707032778070279008174732520529886901066488712245510429339761526706943586500787976175353856) (+.f64 (/.f64 (/.f64 y x) z) (.f64 y (.f64 (/.f64 x z) (+.f64 (.f64 x (.f64 x 1/24)) 1/2)))) (/.f64 (.f64 (cosh.f64 x) y) (.f64 x z))))
(if (<=.f64 y -2090569030258189/107839786668602559178668060348078522694548577690162289924414440996864) (.f64 (/.f64 (cosh.f64 x) (.f64 x z)) y) (if (<=.f64 y 5616398755634405/10086913586276986678343434265636765134100413253239154346994763111486904773503285916522052161250538404046496765518544896) (+.f64 (/.f64 (/.f64 y x) z) (.f64 y (.f64 (/.f64 x z) (+.f64 (.f64 x (.f64 x 1/24)) 1/2)))) (.f64 (/.f64 (cosh.f64 x) (.f64 x z)) y)))
(if (<=.f64 y -3713820117856141/2475880078570760549798248448) (/.f64 (/.f64 y z) x) (if (<=.f64 y 2911610142034935/421249166674228746791672110734681729275580381602196445017243910144) (+.f64 (/.f64 (/.f64 y x) z) (.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 -3713820117856141/2475880078570760549798248448) (/.f64 (/.f64 y z) x) (if (<=.f64 y 4573565153327831/2787593149816327892691964784081045188247552) (+.f64 (/.f64 (/.f64 y x) z) (.f64 y (.f64 (/.f64 x z) (+.f64 (.f64 x (.f64 x 1/24)) 1/2)))) (.f64 y (/.f64 (+.f64 (.f64 1/2 x) (/.f64 1 x)) z))))
(if (<=.f64 y -3713820117856141/2475880078570760549798248448) (/.f64 (/.f64 y z) x) (if (<=.f64 y 3978716453263717/6427752177035961102167848369364650410088811975131171341205504) (/.f64 (+.f64 (/.f64 y x) (.f64 1/2 (.f64 y x))) z) (.f64 y (/.f64 (+.f64 (.f64 1/2 x) (/.f64 1 x)) z))))
(if (<=.f64 y -3713820117856141/2475880078570760549798248448) (/.f64 (/.f64 y z) x) (if (<=.f64 y 3806650900600671/6739986666787659948666753771754907668409286105635143120275902562304) (/.f64 (.f64 (+.f64 (.f64 1/2 x) (/.f64 1 x)) y) z) (.f64 y (/.f64 (+.f64 (.f64 1/2 x) (/.f64 1 x)) z))))
(if (<=.f64 y -2090569030258189/107839786668602559178668060348078522694548577690162289924414440996864) (.f64 y (/.f64 (+.f64 (.f64 1/2 x) (/.f64 1 x)) z)) (if (<=.f64 y 3978716453263717/6427752177035961102167848369364650410088811975131171341205504) (/.f64 (/.f64 y x) z) (.f64 y (/.f64 (+.f64 (.f64 1/2 x) (/.f64 1 x)) z))))
(if (<=.f64 y -4253529586511731/42535295865117307932921825928971026432) (/.f64 (/.f64 y z) x) (if (<=.f64 y 2911610142034935/421249166674228746791672110734681729275580381602196445017243910144) (/.f64 (/.f64 y x) z) (/.f64 y (*.f64 z x))))
(if (<=.f64 y -4253529586511731/42535295865117307932921825928971026432) (/.f64 (/.f64 y z) x) (if (<=.f64 y 7123828369128567/926336713898529563388567880069503262826159877325124512315660672063305037119488) (/.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)) -200000000000000008865591331916694877000857933217272512160395875661926954165237823719168356730340153384902021777125683944200820531246613453659458355377824296650910559620209942066205153823999633833272476105465504214545753911342860863491894855860224) (/.f64 (/.f64 1 x) (/.f64 z y)) (if (<=.f64 (.f64 (cosh.f64 x) (/.f64 y x)) 50000000000000002168864848730959303664514666247596965589588689466805840644484055547066187776) (/.f64 (.f64 (cosh.f64 x) (/.f64 y x)) z) (/.f64 y (.f64 z x))))
(if (<=.f64 (.f64 (cosh.f64 x) (/.f64 y x)) -200000000000000008865591331916694877000857933217272512160395875661926954165237823719168356730340153384902021777125683944200820531246613453659458355377824296650910559620209942066205153823999633833272476105465504214545753911342860863491894855860224) (/.f64 (/.f64 1 x) (/.f64 z y)) (if (<=.f64 (.f64 (cosh.f64 x) (/.f64 y x)) 50000000000000002168864848730959303664514666247596965589588689466805840644484055547066187776) (/.f64 (.f64 (cosh.f64 x) (/.f64 y x)) z) (/.f64 y (.f64 x z))))
(if (<=.f64 z -5764607523034235/576460752303423488) (/.f64 (.f64 (cosh.f64 x) y) (.f64 x z)) (if (<=.f64 z 6012269011901013/601226901190101306339707032778070279008174732520529886901066488712245510429339761526706943586500787976175353856) (/.f64 (.f64 y (/.f64 (cosh.f64 x) z)) x) (/.f64 (.f64 (cosh.f64 x) y) (*.f64 x z))))
(if (<=.f64 z -100000000000000000000) (/.f64 (.f64 (cosh.f64 x) y) (.f64 x z)) (if (<=.f64 z 6012269011901013/601226901190101306339707032778070279008174732520529886901066488712245510429339761526706943586500787976175353856) (+.f64 (/.f64 (/.f64 y x) z) (.f64 y (.f64 (/.f64 x z) (+.f64 (.f64 x (.f64 x 1/24)) 1/2)))) (/.f64 (.f64 (cosh.f64 x) y) (.f64 x z))))
(if (<=.f64 y -2090569030258189/107839786668602559178668060348078522694548577690162289924414440996864) (.f64 (/.f64 (cosh.f64 x) (.f64 x z)) y) (if (<=.f64 y 5616398755634405/10086913586276986678343434265636765134100413253239154346994763111486904773503285916522052161250538404046496765518544896) (+.f64 (/.f64 (/.f64 y x) z) (.f64 y (.f64 (/.f64 x z) (+.f64 (.f64 x (.f64 x 1/24)) 1/2)))) (.f64 (/.f64 (cosh.f64 x) (.f64 x z)) y)))
(if (<=.f64 y -2090569030258189/107839786668602559178668060348078522694548577690162289924414440996864) (.f64 y (/.f64 (cosh.f64 x) (.f64 x z))) (if (<=.f64 y 5616398755634405/10086913586276986678343434265636765134100413253239154346994763111486904773503285916522052161250538404046496765518544896) (+.f64 (/.f64 (/.f64 y x) z) (.f64 y (.f64 (/.f64 x z) (+.f64 (.f64 x (.f64 x 1/24)) 1/2)))) (.f64 y (/.f64 (cosh.f64 x) (.f64 x z)))))
(if (<=.f64 y -3713820117856141/2475880078570760549798248448) (/.f64 (/.f64 y z) x) (if (<=.f64 y 2911610142034935/421249166674228746791672110734681729275580381602196445017243910144) (+.f64 (/.f64 (/.f64 y x) z) (.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 -3713820117856141/2475880078570760549798248448) (/.f64 (/.f64 y z) x) (if (<=.f64 y 2911610142034935/421249166674228746791672110734681729275580381602196445017243910144) (+.f64 (/.f64 (/.f64 y x) z) (.f64 y (.f64 (/.f64 x z) (+.f64 (.f64 x (.f64 x 1/24)) 1/2)))) (+.f64 (.f64 y (.f64 (/.f64 x z) (+.f64 (.f64 x (.f64 x 1/24)) 1/2))) (/.f64 y (*.f64 x z)))))
(if (<=.f64 y -3713820117856141/2475880078570760549798248448) (/.f64 (/.f64 y z) x) (if (<=.f64 y 4573565153327831/2787593149816327892691964784081045188247552) (+.f64 (/.f64 (/.f64 y x) z) (.f64 y (.f64 (/.f64 x z) (+.f64 (.f64 x (.f64 x 1/24)) 1/2)))) (.f64 y (/.f64 (+.f64 (.f64 1/2 x) (/.f64 1 x)) z))))
(if (<=.f64 y -3713820117856141/2475880078570760549798248448) (/.f64 (/.f64 y z) x) (if (<=.f64 y 4573565153327831/2787593149816327892691964784081045188247552) (+.f64 (/.f64 (/.f64 y x) z) (.f64 y (.f64 (/.f64 x z) (+.f64 (.f64 x (.f64 x 1/24)) 1/2)))) (.f64 y (/.f64 (+.f64 (/.f64 1 x) (.f64 x 1/2)) z))))
(if (<=.f64 y -3713820117856141/2475880078570760549798248448) (/.f64 (/.f64 y z) x) (if (<=.f64 y 3978716453263717/6427752177035961102167848369364650410088811975131171341205504) (/.f64 (+.f64 (/.f64 y x) (.f64 1/2 (.f64 y x))) z) (.f64 y (/.f64 (+.f64 (.f64 1/2 x) (/.f64 1 x)) z))))
(if (<=.f64 y -3713820117856141/2475880078570760549798248448) (/.f64 (/.f64 y z) x) (if (<=.f64 y 3978716453263717/6427752177035961102167848369364650410088811975131171341205504) (/.f64 (+.f64 (/.f64 y x) (.f64 1/2 (.f64 x y))) z) (.f64 y (/.f64 (+.f64 (/.f64 1 x) (.f64 x 1/2)) z))))
(if (<=.f64 y -3713820117856141/2475880078570760549798248448) (/.f64 (/.f64 y z) x) (if (<=.f64 y 3806650900600671/6739986666787659948666753771754907668409286105635143120275902562304) (/.f64 (.f64 (+.f64 (.f64 1/2 x) (/.f64 1 x)) y) z) (.f64 y (/.f64 (+.f64 (.f64 1/2 x) (/.f64 1 x)) z))))
(if (<=.f64 y -3713820117856141/2475880078570760549798248448) (/.f64 (/.f64 y z) x) (if (<=.f64 y 3806650900600671/6739986666787659948666753771754907668409286105635143120275902562304) (/.f64 (.f64 y (+.f64 (/.f64 1 x) (.f64 x 1/2))) z) (.f64 y (/.f64 (+.f64 (/.f64 1 x) (.f64 x 1/2)) z))))
(if (<=.f64 y -2090569030258189/107839786668602559178668060348078522694548577690162289924414440996864) (.f64 y (/.f64 (+.f64 (.f64 1/2 x) (/.f64 1 x)) z)) (if (<=.f64 y 3978716453263717/6427752177035961102167848369364650410088811975131171341205504) (/.f64 (/.f64 y x) z) (.f64 y (/.f64 (+.f64 (.f64 1/2 x) (/.f64 1 x)) z))))
(if (<=.f64 y -2090569030258189/107839786668602559178668060348078522694548577690162289924414440996864) (.f64 y (/.f64 (+.f64 (/.f64 1 x) (.f64 x 1/2)) z)) (if (<=.f64 y 3978716453263717/6427752177035961102167848369364650410088811975131171341205504) (/.f64 (/.f64 y x) z) (.f64 y (/.f64 (+.f64 (/.f64 1 x) (.f64 x 1/2)) z))))
(if (<=.f64 y -4253529586511731/42535295865117307932921825928971026432) (/.f64 (/.f64 y z) x) (if (<=.f64 y 2911610142034935/421249166674228746791672110734681729275580381602196445017243910144) (/.f64 (/.f64 y x) z) (/.f64 y (*.f64 z x))))
(if (<=.f64 y -4253529586511731/42535295865117307932921825928971026432) (/.f64 (/.f64 y z) x) (if (<=.f64 y 2911610142034935/421249166674228746791672110734681729275580381602196445017243910144) (/.f64 (/.f64 y x) z) (/.f64 y (*.f64 x z))))
(if (<=.f64 y -4253529586511731/42535295865117307932921825928971026432) (/.f64 (/.f64 y z) x) (if (<=.f64 y 7123828369128567/926336713898529563388567880069503262826159877325124512315660672063305037119488) (/.f64 (/.f64 y x) z) (/.f64 (/.f64 y z) x)))
(/.f64 (/.f64 y z) x)

Compiler

Compiled 442 to 251 computations (43.2% saved)

soundness0.0ms (0%)

end141.0ms (1.3%)

Compiler: Compiled 409 to 177 computations (56.7% saved)

Iter	Nodes	Cost
0	9	396
1	16	396
2	24	396
3	30	396
4	36	396
5	44	396
6	52	396
7	64	396
8	81	396
9	99	396
10	100	396

Iter	Nodes	Cost
0	9	396
1	16	396
2	24	396
3	30	396
4	36	396
5	44	396
6	52	396
7	64	396
8	81	396
9	99	396
10	100	396

Iter	Nodes	Cost
0	9	396
1	16	396
2	24	396
3	30	396
4	36	396
5	44	396
6	52	396
7	64	396
8	81	396
9	99	396
10	100	396

Iter	Nodes	Cost
0	9	396
1	16	396
2	24	396
3	30	396
4	36	396
5	44	396
6	52	396
7	64	396
8	81	396
9	99	396
10	100	396

Iter	Nodes	Cost
0	9	396
1	16	396
2	24	396
3	30	396
4	36	396
5	44	396
6	52	396
7	64	396
8	81	396
9	99	396
10	100	396

Iter	Nodes	Cost
0	9	396
1	16	396
2	24	396
3	30	396
4	36	396
5	44	396
6	52	396
7	64	396
8	81	396
9	99	396
10	100	396