Details

analyze298.0ms (2.8%)

Algorithm

1×

Search

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

Compiler

Compiled 12 to 8 computations (33.3% saved)

sample3.4s (31.7%)

Results

1.8s	10855×	body	256	infinite
1.5s	8256×	body	256	valid

Bogosity

preprocess261.0ms (2.5%)

Algorithm

2×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	19	48
1	55	48
2	144	48
3	388	48
4	894	48
5	1632	48
6	3130	48
7	4641	48
0	3	3

Stop Event

1×	saturated
1×	node limit

Calls

Call 1

Inputs
0
1
2

Outputs
0
1
2

Call 2

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

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

Compiler

Compiled 14 to 10 computations (28.6% saved)

simplify83.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

1 → 2

Calls

Call 1

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

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

eval1.0ms (0%)

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

prune2.0ms (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
▶	5.3b	(*.f64 y (/.f64 (/.f64 (cosh.f64 x) z) x))
▶	5.7b	(/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z)

Compiler

Compiled 22 to 14 computations (36.4% saved)

localize17.0ms (0.2%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(/.f64 (cosh.f64 x) z)
✓	0.3b	(/.f64 (/.f64 (cosh.f64 x) z) x)
✓	4.9b	(*.f64 y (/.f64 (/.f64 (cosh.f64 x) z) x))

Compiler

Compiled 26 to 7 computations (73.1% saved)

series45.0ms (0.4%)

Counts

3 → 84

Calls

21 calls:

Time	Variable		Point	Expression
6.0ms	x	@	-inf	(*.f64 y (/.f64 (/.f64 (cosh.f64 x) z) x))
6.0ms	x	@	0	(/.f64 (cosh.f64 x) z)
5.0ms	z	@	0	(*.f64 y (/.f64 (/.f64 (cosh.f64 x) z) x))
4.0ms	y	@	0	(*.f64 y (/.f64 (/.f64 (cosh.f64 x) z) x))
3.0ms	x	@	inf	(*.f64 y (/.f64 (/.f64 (cosh.f64 x) z) x))

rewrite130.0ms (1.2%)

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

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

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

simplify103.0ms (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))
(*.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))
(*.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 (/.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) x)
(/.f64 (fma.f64 1/2 (exp.f64 x) (/.f64 1/2 (exp.f64 x))) (*.f64 x z))
(.f64 1/2 (/.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (.f64 z x)))
(.f64 1/2 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (.f64 x z)))
(/.f64 (/.f64 (fma.f64 1/2 (exp.f64 x) (/.f64 1/2 (exp.f64 x))) 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)

localize12.0ms (0.1%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 25 to 7 computations (72% saved)

series6.0ms (0.1%)

Counts

2 → 60

Calls

15 calls:

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

rewrite81.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

2 → 105

Calls

Call 1

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

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

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

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

simplify104.0ms (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))

eval66.0ms (0.6%)

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

prune93.0ms (0.9%)

Pruning

12 alts after pruning (12 fresh and 0 done)

	Pruned	Kept	Total
New	297	12	309
Fresh	0	0	0
Picked	1	0	1
Done	1	0	1
Total	299	12	311

Error

Counts

311 → 12

Alt Table

Click to see full alt table

Status	Error	Program
	5.8b	(/.f64 (/.f64 (cosh.f64 x) (/.f64 x y)) z)
▶	7.7b	(.f64 (/.f64 y z) (+.f64 (.f64 x 1/2) (/.f64 1 x)))
	7.1b	(/.f64 (/.f64 y x) z)
	6.7b	(/.f64 (*.f64 y (/.f64 (cosh.f64 x) z)) x)
▶	6.3b	(.f64 y (+.f64 (/.f64 1 (.f64 z x)) (*.f64 1/2 (/.f64 x z))))
▶	6.7b	(*.f64 y (/.f64 (/.f64 1 x) z))
	6.7b	(*.f64 y (/.f64 (/.f64 1 z) x))
	6.3b	(.f64 y (.f64 (/.f64 (cosh.f64 x) (pow.f64 (cbrt.f64 x) 2)) (/.f64 (/.f64 1 z) (cbrt.f64 x))))
	5.6b	(+.f64 (/.f64 y (.f64 x z)) (.f64 y (.f64 (/.f64 x z) (+.f64 (.f64 x (*.f64 x 1/24)) 1/2))))
▶	5.6b	(.f64 (cosh.f64 x) (/.f64 1 (.f64 z (/.f64 x y))))
▶	6.2b	(/.f64 y (*.f64 z x))
	6.7b	(/.f64 (+.f64 (/.f64 y x) (.f64 1/2 (.f64 y x))) z)

Compiler

Compiled 312 to 208 computations (33.3% saved)

localize12.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(.f64 (cosh.f64 x) (/.f64 1 (.f64 z (/.f64 x y))))
✓	0.4b	(/.f64 1 (*.f64 z (/.f64 x y)))
✓	5.1b	(*.f64 z (/.f64 x y))

Compiler

Compiled 34 to 12 computations (64.7% saved)

series17.0ms (0.2%)

Counts

3 → 108

Calls

27 calls:

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

rewrite116.0ms (1.1%)

Algorithm

1×	batch-egg-rewrite

Rules

564×	`log-prod_binary64`
428×	`exp-prod_binary64`
346×	`pow-prod-down_binary64`
273×	`pow2_binary64`
217×	`pow-unpow_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	10	29
1	212	26
2	2862	26

Stop Event

1×	node limit

Counts

3 → 140

Calls

Call 1

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

Outputs

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

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

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

simplify197.0ms (1.8%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 5 (0.0ms)

Iter	Nodes	Cost
0	36	1311
1	98	1309
2	260	1307
3	719	1269
4	1913	1259
5	4624	1254
6	5051	1254
7	6061	1254
8	7922	1254

Stop Event

1×	node limit

Counts

248 → 151

Calls

Call 1

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

localize5.0ms (0%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	4.5b	(/.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	y	@	inf	(/.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	z	@	-inf	(/.f64 y (*.f64 z x))

rewrite62.0ms (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

localize23.0ms (0.2%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.3b	(/.f64 (/.f64 1 x) z)
✓	4.9b	(*.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	@	-inf	(/.f64 (/.f64 1 x) z)
0.0ms	x	@	0	(/.f64 (/.f64 1 x) z)
0.0ms	z	@	0	(/.f64 (/.f64 1 x) z)
0.0ms	x	@	-inf	(/.f64 (/.f64 1 x) z)
0.0ms	x	@	inf	(/.f64 (/.f64 1 x) z)

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

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 → 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)

localize274.0ms (2.6%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	6.7b	(.f64 (/.f64 y z) (+.f64 (.f64 x 1/2) (/.f64 1 x)))

Compiler

Compiled 35 to 21 computations (40% saved)

series8.0ms (0.1%)

Counts

1 → 36

Calls

9 calls:

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

rewrite106.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	14
1	243	14
2	3512	14

Stop Event

1×	node limit

Counts

1 → 85

Calls

Call 1

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

Outputs

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

simplify59.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	489
1	35	489
2	64	489
3	102	489
4	151	489
5	288	489
6	376	489
7	606	489
8	1007	489
9	1196	489
10	1220	489

Stop Event

1×

saturated

Counts

121 → 92

Calls

Call 1

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

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

localize99.0ms (0.9%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(*.f64 1/2 (/.f64 x z))
✓	0.0b	(+.f64 (/.f64 1 (.f64 z x)) (.f64 1/2 (/.f64 x z)))
✓	0.3b	(/.f64 1 (*.f64 z x))
✓	4.9b	(.f64 y (+.f64 (/.f64 1 (.f64 z x)) (*.f64 1/2 (/.f64 x z))))

Compiler

Compiled 48 to 22 computations (54.2% saved)

series14.0ms (0.1%)

Counts

4 → 39

Calls

27 calls:

Time	Variable		Point	Expression
2.0ms	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))))
1.0ms	x	@	inf	(.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))))

rewrite188.0ms (1.8%)

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

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

simplify158.0ms (1.5%)

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))

eval241.0ms (2.3%)

Compiler: Compiled 8230 to 3709 computations (54.9% saved)

prune96.0ms (0.9%)

Pruning

17 alts after pruning (12 fresh and 5 done)

	Pruned	Kept	Total
New	535	7	542
Fresh	2	5	7
Picked	0	1	1
Done	0	4	4
Total	537	17	554

Error

Counts

554 → 17

Alt Table

Click to see full alt table

Status	Error	Program
▶	7.1b	(/.f64 (/.f64 y x) z)
	7.2b	(*.f64 (/.f64 1 z) (/.f64 y x))
	7.4b	(/.f64 1 (/.f64 z (/.f64 y x)))
▶	8.1b	(*.f64 (/.f64 y z) (/.f64 1 x))
	57.3b	(.f64 y (.f64 1/2 (/.f64 x z)))
✓	6.7b	(*.f64 y (/.f64 (/.f64 1 x) z))
	5.8b	(/.f64 (/.f64 (cosh.f64 x) (/.f64 x y)) z)
✓	7.7b	(.f64 (/.f64 y z) (+.f64 (.f64 x 1/2) (/.f64 1 x)))
▶	6.8b	(/.f64 (.f64 (+.f64 (.f64 1/2 x) (/.f64 1 x)) y) z)
	6.7b	(/.f64 (+.f64 (/.f64 y x) (.f64 1/2 (.f64 y x))) z)
	6.7b	(/.f64 (*.f64 y (/.f64 (cosh.f64 x) z)) x)
✓	6.3b	(.f64 y (+.f64 (/.f64 1 (.f64 z x)) (*.f64 1/2 (/.f64 x z))))
	22.5b	(.f64 y (/.f64 (+.f64 z (.f64 (.f64 z x) (.f64 x 1/2))) (.f64 (.f64 z x) z)))
▶	6.7b	(*.f64 y (/.f64 (/.f64 1 z) x))
▶	5.6b	(+.f64 (/.f64 y (.f64 x z)) (.f64 y (.f64 (/.f64 x z) (+.f64 (.f64 x (*.f64 x 1/24)) 1/2))))
✓	5.6b	(.f64 (cosh.f64 x) (/.f64 1 (.f64 z (/.f64 x y))))
✓	6.2b	(/.f64 y (*.f64 z x))

Compiler

Compiled 361 to 238 computations (34.1% saved)

localize26.0ms (0.2%)

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)
✓	4.5b	(/.f64 y (*.f64 x z))
✓	5.1b	(.f64 y (.f64 (/.f64 x z) (+.f64 (.f64 x (.f64 x 1/24)) 1/2)))

Compiler

Compiled 77 to 39 computations (49.4% saved)

series59.0ms (0.6%)

Counts

4 → 96

Calls

24 calls:

Time	Variable		Point	Expression
36.0ms	x	@	inf	(*.f64 x 1/24)
11.0ms	z	@	inf	(.f64 y (.f64 (/.f64 x z) (+.f64 (.f64 x (.f64 x 1/24)) 1/2)))
1.0ms	y	@	0	(.f64 y (.f64 (/.f64 x z) (+.f64 (.f64 x (.f64 x 1/24)) 1/2)))
1.0ms	z	@	0	(.f64 y (.f64 (/.f64 x z) (+.f64 (.f64 x (.f64 x 1/24)) 1/2)))
1.0ms	x	@	inf	(.f64 y (.f64 (/.f64 x z) (+.f64 (.f64 x (.f64 x 1/24)) 1/2)))

rewrite97.0ms (0.9%)

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))))))

simplify118.0ms (1.1%)

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)))
(.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 (.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 (.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 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 1/2 y) (/.f64 z x))
(*.f64 x (/.f64 1/2 (/.f64 z y)))
(*.f64 1/2 (/.f64 x (/.f64 z y)))
(+.f64 (.f64 1/2 (/.f64 (.f64 y x) z)) (.f64 1/24 (/.f64 (.f64 y (pow.f64 x 3)) z)))
(/.f64 (+.f64 1/2 (.f64 1/24 (.f64 x x))) (/.f64 z (*.f64 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 1/2 (/.f64 (.f64 y x) z)) (.f64 1/24 (/.f64 (.f64 y (pow.f64 x 3)) z)))
(/.f64 (+.f64 1/2 (.f64 1/24 (.f64 x x))) (/.f64 z (*.f64 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 1/2 (/.f64 (.f64 y x) z)) (.f64 1/24 (/.f64 (.f64 y (pow.f64 x 3)) z)))
(/.f64 (+.f64 1/2 (.f64 1/24 (.f64 x x))) (/.f64 z (*.f64 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 1/24 (/.f64 (.f64 y (pow.f64 x 3)) z))
(*.f64 1/24 (/.f64 y (/.f64 z (pow.f64 x 3))))
(.f64 1/24 (.f64 (/.f64 y z) (pow.f64 x 3)))
(.f64 1/24 (.f64 (pow.f64 x 3) (/.f64 y z)))
(.f64 1/24 (.f64 y (/.f64 (pow.f64 x 3) z)))
(+.f64 (.f64 1/2 (/.f64 (.f64 y x) z)) (.f64 1/24 (/.f64 (.f64 y (pow.f64 x 3)) z)))
(/.f64 (+.f64 1/2 (.f64 1/24 (.f64 x x))) (/.f64 z (*.f64 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 1/2 (/.f64 (.f64 y x) z)) (.f64 1/24 (/.f64 (.f64 y (pow.f64 x 3)) z)))
(/.f64 (+.f64 1/2 (.f64 1/24 (.f64 x x))) (/.f64 z (*.f64 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 1/2 (/.f64 (.f64 y x) z)) (.f64 1/24 (/.f64 (.f64 y (pow.f64 x 3)) z)))
(/.f64 (+.f64 1/2 (.f64 1/24 (.f64 x x))) (/.f64 z (*.f64 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 1/24 (/.f64 (.f64 y (pow.f64 x 3)) z))
(*.f64 1/24 (/.f64 y (/.f64 z (pow.f64 x 3))))
(.f64 1/24 (.f64 (/.f64 y z) (pow.f64 x 3)))
(.f64 1/24 (.f64 (pow.f64 x 3) (/.f64 y z)))
(.f64 1/24 (.f64 y (/.f64 (pow.f64 x 3) z)))
(+.f64 (.f64 1/2 (/.f64 (.f64 y x) z)) (.f64 1/24 (/.f64 (.f64 y (pow.f64 x 3)) z)))
(/.f64 (+.f64 1/2 (.f64 1/24 (.f64 x x))) (/.f64 z (*.f64 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 1/2 (/.f64 (.f64 y x) z)) (.f64 1/24 (/.f64 (.f64 y (pow.f64 x 3)) z)))
(/.f64 (+.f64 1/2 (.f64 1/24 (.f64 x x))) (/.f64 z (*.f64 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 1/2 (/.f64 (.f64 y x) z)) (.f64 1/24 (/.f64 (.f64 y (pow.f64 x 3)) z)))
(/.f64 (+.f64 1/2 (.f64 1/24 (.f64 x x))) (/.f64 z (*.f64 x y)))
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(.f64 (fma.f64 1/24 (.f64 x x) 1/2) (*.f64 x (/.f64 y 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 (.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)))
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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)
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(/.f64 (/.f64 y x) z)
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(/.f64 (/.f64 y z) x)
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(/.f64 (/.f64 y x) z)
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(/.f64 (/.f64 y z) x)
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(/.f64 (/.f64 y x) z)
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(/.f64 (/.f64 y z) x)
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(/.f64 (/.f64 y x) z)
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(/.f64 (/.f64 y z) x)
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(/.f64 (/.f64 y x) z)
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(/.f64 (/.f64 y z) x)
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(/.f64 (/.f64 y x) z)
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(/.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)
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(/.f64 (/.f64 y z) x)
(/.f64 y (*.f64 x z))
(/.f64 (/.f64 y x) z)
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(/.f64 (/.f64 y z) x)
(/.f64 y (*.f64 x z))
(/.f64 (/.f64 y x) z)
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(/.f64 (/.f64 y z) x)
(/.f64 y (*.f64 x z))
(/.f64 (/.f64 y x) z)
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(/.f64 (/.f64 y z) x)
(/.f64 y (*.f64 x z))
(/.f64 (/.f64 y x) z)
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(/.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)
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(/.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)
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(/.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)
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(/.f64 (/.f64 y x) z)
(/.f64 y (*.f64 z x))
(/.f64 (/.f64 y z) x)
(/.f64 y (*.f64 x z))
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(/.f64 (/.f64 y x) z)
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(/.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
✓	5.4b	(/.f64 (/.f64 y x) z)

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

rewrite70.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

1 → 38

Calls

Call 1

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

Outputs

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

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	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))

localize9.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.3b	(/.f64 (/.f64 1 z) x)
✓	4.9b	(*.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	z	@	-inf	(/.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))

rewrite66.0ms (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))))))))

simplify16.0ms (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)

localize8.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	6.7b	(*.f64 (/.f64 y z) (/.f64 1 x))

Compiler

Compiled 20 to 10 computations (50% saved)

series4.0ms (0%)

Counts

1 → 36

Calls

9 calls:

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

rewrite66.0ms (0.6%)

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)))))))

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	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))

localize26.0ms (0.2%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.3b	(.f64 (+.f64 (.f64 1/2 x) (/.f64 1 x)) y)
✓	5.4b	(/.f64 (.f64 (+.f64 (.f64 1/2 x) (/.f64 1 x)) y) z)

Compiler

Compiled 41 to 27 computations (34.1% saved)

series10.0ms (0.1%)

Counts

2 → 24

Calls

15 calls:

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

rewrite73.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

860×	`prod-diff_binary64`
594×	`log-prod_binary64`
305×	`pow2_binary64`
245×	`fma-def_binary64`
213×	`pow1/3_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	25
1	237	25
2	3244	25

Stop Event

1×	node limit

Counts

2 → 80

Calls

Call 1

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

Outputs

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

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

simplify19.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

24×	`fma-def_binary64`
17×	`associate-/l*_binary64`
14×	`*-commutative_binary64`
13×	`associate-/r/_binary64`
10×	`associate-r_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	14	333
1	27	297
2	49	297
3	80	297
4	110	297
5	127	297
6	129	297

Stop Event

1×

saturated

Counts

104 → 91

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

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

eval123.0ms (1.2%)

Compiler: Compiled 5534 to 2765 computations (50% saved)

prune105.0ms (1%)

Pruning

18 alts after pruning (10 fresh and 8 done)

	Pruned	Kept	Total
New	350	5	355
Fresh	2	5	7
Picked	0	1	1
Done	2	7	9
Total	354	18	372

Error

Counts

372 → 18

Alt Table

Click to see full alt table

Status	Error	Program
	6.4b	(/.f64 1 (/.f64 (*.f64 z x) y))
	6.7b	(/.f64 (*.f64 y (/.f64 (cosh.f64 x) z)) x)
▶	6.7b	(/.f64 (+.f64 (/.f64 y x) (.f64 1/2 (.f64 y x))) z)
✓	6.3b	(.f64 y (+.f64 (/.f64 1 (.f64 z x)) (*.f64 1/2 (/.f64 x z))))
	57.3b	(.f64 y (.f64 1/2 (/.f64 x z)))
✓	6.7b	(*.f64 y (/.f64 (/.f64 1 x) z))
	5.8b	(/.f64 (/.f64 (cosh.f64 x) (/.f64 x y)) z)
✓	7.7b	(.f64 (/.f64 y z) (+.f64 (.f64 x 1/2) (/.f64 1 x)))
▶	7.0b	(pow.f64 (*.f64 z (/.f64 x y)) -1)
✓	5.6b	(+.f64 (/.f64 y (.f64 x z)) (.f64 y (.f64 (/.f64 x z) (+.f64 (.f64 x (*.f64 x 1/24)) 1/2))))
▶	8.0b	(/.f64 (/.f64 y z) x)
✓	6.2b	(/.f64 y (*.f64 z x))
✓	7.1b	(/.f64 (/.f64 y x) z)
▶	7.4b	(/.f64 1 (/.f64 z (/.f64 y x)))
	22.5b	(.f64 y (/.f64 (+.f64 z (.f64 (.f64 z x) (.f64 x 1/2))) (.f64 (.f64 z x) z)))
✓	6.7b	(*.f64 y (/.f64 (/.f64 1 z) x))
▶	5.6b	(+.f64 (/.f64 y (.f64 x z)) (+.f64 (.f64 (.f64 (/.f64 x z) (.f64 x (.f64 x 1/24))) y) (.f64 (/.f64 (*.f64 1/2 x) z) y)))
✓	6.8b	(/.f64 (.f64 (+.f64 (.f64 1/2 x) (/.f64 1 x)) y) z)

Compiler

Compiled 366 to 237 computations (35.2% saved)

localize64.0ms (0.6%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.4b	(*.f64 x 1/24)
✓	3.7b	(.f64 (.f64 (/.f64 x z) (.f64 x (.f64 x 1/24))) y)
	4.5b	(/.f64 y (*.f64 x z))
✓	5.2b	(.f64 (/.f64 (.f64 1/2 x) z) y)

Compiler

Compiled 106 to 52 computations (50.9% saved)

series19.0ms (0.2%)

Counts

2 → 72

Calls

18 calls:

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

rewrite111.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

887×	`log-prod_binary64`
388×	`pow2_binary64`
280×	`pow1/3_binary64`
267×	`expm1-udef_binary64`
267×	`log1p-udef_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	14	26
1	299	23
2	3988	23

Stop Event

1×	node limit

Counts

2 → 60

Calls

Call 1

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

Outputs

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

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

simplify223.0ms (2.1%)

Algorithm

1×	egg-herbie

Rules

902×	`associate-*l/_binary64`
846×	`unswap-sqr_binary64`
806×	`*-commutative_binary64`
553×	`associate-/r/_binary64`
340×	`associate-/l/_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	828
1	34	828
2	82	828
3	248	828
4	691	828
5	2060	828
6	3359	828
7	3786	828
8	3991	828
9	4199	828
10	4322	828
11	4505	828
12	5513	828
13	7679	828

Stop Event

1×	node limit

Counts

132 → 64

Calls

Call 1

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

Outputs
(.f64 1/2 (/.f64 (.f64 y x) z))
(*.f64 1/2 (/.f64 y (/.f64 z x)))
(/.f64 (.f64 (.f64 1/2 y) x) z)
(.f64 1/2 (.f64 x (/.f64 y z)))
(/.f64 1/2 (/.f64 (/.f64 z y) x))
(.f64 1/2 (/.f64 (.f64 y x) z))
(*.f64 1/2 (/.f64 y (/.f64 z x)))
(/.f64 (.f64 (.f64 1/2 y) x) z)
(.f64 1/2 (.f64 x (/.f64 y z)))
(/.f64 1/2 (/.f64 (/.f64 z y) x))
(.f64 1/2 (/.f64 (.f64 y x) z))
(*.f64 1/2 (/.f64 y (/.f64 z x)))
(/.f64 (.f64 (.f64 1/2 y) x) z)
(.f64 1/2 (.f64 x (/.f64 y z)))
(/.f64 1/2 (/.f64 (/.f64 z y) x))
(.f64 1/2 (/.f64 (.f64 y x) z))
(*.f64 1/2 (/.f64 y (/.f64 z x)))
(/.f64 (.f64 (.f64 1/2 y) x) z)
(.f64 1/2 (.f64 x (/.f64 y z)))
(/.f64 1/2 (/.f64 (/.f64 z y) x))
(.f64 1/2 (/.f64 (.f64 y x) z))
(*.f64 1/2 (/.f64 y (/.f64 z x)))
(/.f64 (.f64 (.f64 1/2 y) x) z)
(.f64 1/2 (.f64 x (/.f64 y z)))
(/.f64 1/2 (/.f64 (/.f64 z y) x))
(.f64 1/2 (/.f64 (.f64 y x) z))
(*.f64 1/2 (/.f64 y (/.f64 z x)))
(/.f64 (.f64 (.f64 1/2 y) x) z)
(.f64 1/2 (.f64 x (/.f64 y z)))
(/.f64 1/2 (/.f64 (/.f64 z y) x))
(.f64 1/2 (/.f64 (.f64 y x) z))
(*.f64 1/2 (/.f64 y (/.f64 z x)))
(/.f64 (.f64 (.f64 1/2 y) x) z)
(.f64 1/2 (.f64 x (/.f64 y z)))
(/.f64 1/2 (/.f64 (/.f64 z y) x))
(.f64 1/2 (/.f64 (.f64 y x) z))
(*.f64 1/2 (/.f64 y (/.f64 z x)))
(/.f64 (.f64 (.f64 1/2 y) x) z)
(.f64 1/2 (.f64 x (/.f64 y z)))
(/.f64 1/2 (/.f64 (/.f64 z y) x))
(.f64 1/2 (/.f64 (.f64 y x) z))
(*.f64 1/2 (/.f64 y (/.f64 z x)))
(/.f64 (.f64 (.f64 1/2 y) x) z)
(.f64 1/2 (.f64 x (/.f64 y z)))
(/.f64 1/2 (/.f64 (/.f64 z y) x))
(.f64 1/2 (/.f64 (.f64 y x) z))
(*.f64 1/2 (/.f64 y (/.f64 z x)))
(/.f64 (.f64 (.f64 1/2 y) x) z)
(.f64 1/2 (.f64 x (/.f64 y z)))
(/.f64 1/2 (/.f64 (/.f64 z y) x))
(.f64 1/2 (/.f64 (.f64 y x) z))
(*.f64 1/2 (/.f64 y (/.f64 z x)))
(/.f64 (.f64 (.f64 1/2 y) x) z)
(.f64 1/2 (.f64 x (/.f64 y z)))
(/.f64 1/2 (/.f64 (/.f64 z y) x))
(.f64 1/2 (/.f64 (.f64 y x) z))
(*.f64 1/2 (/.f64 y (/.f64 z x)))
(/.f64 (.f64 (.f64 1/2 y) x) z)
(.f64 1/2 (.f64 x (/.f64 y z)))
(/.f64 1/2 (/.f64 (/.f64 z y) x))
(.f64 1/2 (/.f64 (.f64 y x) z))
(*.f64 1/2 (/.f64 y (/.f64 z x)))
(/.f64 (.f64 (.f64 1/2 y) x) z)
(.f64 1/2 (.f64 x (/.f64 y z)))
(/.f64 1/2 (/.f64 (/.f64 z y) x))
(.f64 1/2 (/.f64 (.f64 y x) z))
(*.f64 1/2 (/.f64 y (/.f64 z x)))
(/.f64 (.f64 (.f64 1/2 y) x) z)
(.f64 1/2 (.f64 x (/.f64 y z)))
(/.f64 1/2 (/.f64 (/.f64 z y) x))
(.f64 1/2 (/.f64 (.f64 y x) z))
(*.f64 1/2 (/.f64 y (/.f64 z x)))
(/.f64 (.f64 (.f64 1/2 y) x) z)
(.f64 1/2 (.f64 x (/.f64 y z)))
(/.f64 1/2 (/.f64 (/.f64 z y) x))
(.f64 1/2 (/.f64 (.f64 y x) z))
(*.f64 1/2 (/.f64 y (/.f64 z x)))
(/.f64 (.f64 (.f64 1/2 y) x) z)
(.f64 1/2 (.f64 x (/.f64 y z)))
(/.f64 1/2 (/.f64 (/.f64 z y) x))
(.f64 1/2 (/.f64 (.f64 y x) z))
(*.f64 1/2 (/.f64 y (/.f64 z x)))
(/.f64 (.f64 (.f64 1/2 y) x) z)
(.f64 1/2 (.f64 x (/.f64 y z)))
(/.f64 1/2 (/.f64 (/.f64 z y) x))
(.f64 1/2 (/.f64 (.f64 y x) z))
(*.f64 1/2 (/.f64 y (/.f64 z x)))
(/.f64 (.f64 (.f64 1/2 y) x) z)
(.f64 1/2 (.f64 x (/.f64 y z)))
(/.f64 1/2 (/.f64 (/.f64 z y) x))
(.f64 1/2 (/.f64 (.f64 y x) z))
(*.f64 1/2 (/.f64 y (/.f64 z x)))
(/.f64 (.f64 (.f64 1/2 y) x) z)
(.f64 1/2 (.f64 x (/.f64 y z)))
(/.f64 1/2 (/.f64 (/.f64 z y) x))
(.f64 1/2 (/.f64 (.f64 y x) z))
(*.f64 1/2 (/.f64 y (/.f64 z x)))
(/.f64 (.f64 (.f64 1/2 y) x) z)
(.f64 1/2 (.f64 x (/.f64 y z)))
(/.f64 1/2 (/.f64 (/.f64 z y) x))
(.f64 1/2 (/.f64 (.f64 y x) z))
(*.f64 1/2 (/.f64 y (/.f64 z x)))
(/.f64 (.f64 (.f64 1/2 y) x) z)
(.f64 1/2 (.f64 x (/.f64 y z)))
(/.f64 1/2 (/.f64 (/.f64 z y) x))
(.f64 1/2 (/.f64 (.f64 y x) z))
(*.f64 1/2 (/.f64 y (/.f64 z x)))
(/.f64 (.f64 (.f64 1/2 y) x) z)
(.f64 1/2 (.f64 x (/.f64 y z)))
(/.f64 1/2 (/.f64 (/.f64 z y) x))
(.f64 1/2 (/.f64 (.f64 y x) z))
(*.f64 1/2 (/.f64 y (/.f64 z x)))
(/.f64 (.f64 (.f64 1/2 y) x) z)
(.f64 1/2 (.f64 x (/.f64 y z)))
(/.f64 1/2 (/.f64 (/.f64 z y) x))
(.f64 1/2 (/.f64 (.f64 y x) z))
(*.f64 1/2 (/.f64 y (/.f64 z x)))
(/.f64 (.f64 (.f64 1/2 y) x) z)
(.f64 1/2 (.f64 x (/.f64 y z)))
(/.f64 1/2 (/.f64 (/.f64 z y) x))
(.f64 1/2 (/.f64 (.f64 y x) z))
(*.f64 1/2 (/.f64 y (/.f64 z x)))
(/.f64 (.f64 (.f64 1/2 y) x) z)
(.f64 1/2 (.f64 x (/.f64 y z)))
(/.f64 1/2 (/.f64 (/.f64 z y) x))
(.f64 1/2 (/.f64 (.f64 y x) z))
(*.f64 1/2 (/.f64 y (/.f64 z x)))
(/.f64 (.f64 (.f64 1/2 y) x) z)
(.f64 1/2 (.f64 x (/.f64 y z)))
(/.f64 1/2 (/.f64 (/.f64 z y) x))
(.f64 1/2 (/.f64 (.f64 y x) z))
(*.f64 1/2 (/.f64 y (/.f64 z x)))
(/.f64 (.f64 (.f64 1/2 y) x) z)
(.f64 1/2 (.f64 x (/.f64 y z)))
(/.f64 1/2 (/.f64 (/.f64 z y) x))
(.f64 1/2 (/.f64 (.f64 y x) z))
(*.f64 1/2 (/.f64 y (/.f64 z x)))
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(.f64 1/24 (.f64 (/.f64 y z) (pow.f64 x 3)))
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(*.f64 (pow.f64 x 3) (/.f64 y (/.f64 z 1/24)))
(.f64 (pow.f64 x 3) (.f64 y (/.f64 1/24 z)))
(.f64 y (.f64 1/24 (/.f64 (pow.f64 x 3) z)))
(.f64 y (.f64 (pow.f64 x 3) (/.f64 1/24 z)))
(.f64 1/24 (/.f64 (.f64 y (pow.f64 x 3)) z))
(*.f64 1/24 (/.f64 y (/.f64 z (pow.f64 x 3))))
(.f64 1/24 (.f64 (/.f64 y z) (pow.f64 x 3)))
(.f64 1/24 (.f64 (pow.f64 x 3) (/.f64 y z)))
(*.f64 (pow.f64 x 3) (/.f64 y (/.f64 z 1/24)))
(.f64 (pow.f64 x 3) (.f64 y (/.f64 1/24 z)))
(.f64 y (.f64 1/24 (/.f64 (pow.f64 x 3) z)))
(.f64 y (.f64 (pow.f64 x 3) (/.f64 1/24 z)))

localize9.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	6.6b	(/.f64 (/.f64 y z) x)

Compiler

Compiled 14 to 5 computations (64.3% saved)

series4.0ms (0%)

Counts

1 → 36

Calls

9 calls:

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

rewrite83.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

1 → 38

Calls

Call 1

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

Outputs

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

simplify16.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×

saturated

Counts

74 → 39

Calls

Call 1

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

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

localize7.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.4b	(/.f64 1 (/.f64 z (/.f64 y x)))
✓	5.5b	(/.f64 z (/.f64 y x))

Compiler

Compiled 22 to 8 computations (63.6% saved)

series5.0ms (0%)

Counts

2 → 72

Calls

18 calls:

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

rewrite66.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

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

Stop Event

1×	node limit

Counts

2 → 81

Calls

Call 1

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

Outputs

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

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

simplify20.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×

saturated

Counts

153 → 84

Calls

Call 1

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

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

localize12.0ms (0.1%)

Local error

Found 3 expressions with local error:

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

Compiler

Compiled 38 to 15 computations (60.5% saved)

series14.0ms (0.1%)

Counts

3 → 39

Calls

21 calls:

Time	Variable		Point	Expression
4.0ms	x	@	-inf	(.f64 1/2 (.f64 y x))
1.0ms	y	@	inf	(/.f64 (+.f64 (/.f64 y x) (.f64 1/2 (.f64 y x))) z)
1.0ms	y	@	0	(/.f64 (+.f64 (/.f64 y x) (.f64 1/2 (.f64 y x))) z)
1.0ms	z	@	0	(/.f64 (+.f64 (/.f64 y x) (.f64 1/2 (.f64 y x))) z)
1.0ms	y	@	-inf	(/.f64 (+.f64 (/.f64 y x) (.f64 1/2 (.f64 y x))) z)

rewrite81.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

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

Stop Event

1×	node limit

Counts

3 → 129

Calls

Call 1

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

Outputs

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

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

simplify149.0ms (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))

localize7.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.4b	(pow.f64 (*.f64 z (/.f64 x y)) -1)
	5.1b	(*.f64 z (/.f64 x y))

Compiler

Compiled 22 to 8 computations (63.6% saved)

series5.0ms (0%)

Counts

1 → 36

Calls

9 calls:

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

rewrite60.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

868×	`pow1_binary64`
805×	`add-log-exp_binary64`
805×	`log1p-expm1-u_binary64`
805×	`expm1-log1p-u_binary64`
784×	`add-exp-log_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	8	10
1	170	7
2	2195	7

Stop Event

1×	node limit

Counts

1 → 24

Calls

Call 1

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

Outputs

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

simplify11.0ms (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

60 → 25

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))

eval129.0ms (1.2%)

Compiler: Compiled 8022 to 3797 computations (52.7% saved)

prune73.0ms (0.7%)

Pruning

16 alts after pruning (6 fresh and 10 done)

	Pruned	Kept	Total
New	460	2	462
Fresh	1	4	5
Picked	1	0	1
Done	2	10	12
Total	464	16	480

Error

Counts

480 → 16

Alt Table

Click to see full alt table

Status	Error	Program
✓	6.7b	(/.f64 (+.f64 (/.f64 y x) (.f64 1/2 (.f64 y x))) z)
✓	6.3b	(.f64 y (+.f64 (/.f64 1 (.f64 z x)) (*.f64 1/2 (/.f64 x z))))
	6.4b	(/.f64 1 (/.f64 (*.f64 z x) y))
	57.3b	(.f64 y (.f64 1/2 (/.f64 x z)))
✓	6.7b	(*.f64 y (/.f64 (/.f64 1 z) x))
	7.0b	(/.f64 1 (*.f64 (/.f64 x y) z))
	5.8b	(/.f64 (/.f64 (cosh.f64 x) (/.f64 x y)) z)
✓	7.7b	(.f64 (/.f64 y z) (+.f64 (.f64 x 1/2) (/.f64 1 x)))
✓	8.0b	(/.f64 (/.f64 y z) x)
✓	6.2b	(/.f64 y (*.f64 z x))
✓	7.1b	(/.f64 (/.f64 y x) z)
	6.7b	(/.f64 (*.f64 y (/.f64 (cosh.f64 x) z)) x)
	22.5b	(.f64 y (/.f64 (+.f64 z (.f64 (.f64 z x) (.f64 x 1/2))) (.f64 (.f64 z x) z)))
✓	5.6b	(+.f64 (/.f64 y (.f64 x z)) (.f64 y (.f64 (/.f64 x z) (+.f64 (.f64 x (*.f64 x 1/24)) 1/2))))
✓	5.6b	(+.f64 (/.f64 y (.f64 x z)) (+.f64 (.f64 (.f64 (/.f64 x z) (.f64 x (.f64 x 1/24))) y) (.f64 (/.f64 (*.f64 1/2 x) z) y)))
✓	6.8b	(/.f64 (.f64 (+.f64 (.f64 1/2 x) (/.f64 1 x)) y) z)

Compiler

Compiled 214 to 139 computations (35% saved)

regimes225.0ms (2.1%)

Counts

28 → 3

Calls

Call 1

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

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

Calls

5 calls:

70.0ms	z
39.0ms	y
37.0ms	x
37.0ms	(*.f64 (cosh.f64 x) (/.f64 y x))
33.0ms	(/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z)

Results

Error	Segments	Branch
4.2b	3	`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 301 to 142 computations (52.8% saved)

bsearch1.0ms (0%)

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	4.07275499957041e+293	1.10104238312418e+302
0.0ms	-8.491633415257354e+98	-5.3484238932468265e+91

Compiler

Compiled 17 to 12 computations (29.4% saved)

regimes175.0ms (1.6%)

Counts

25 → 3

Calls

Call 1

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

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

Calls

3 calls:

79.0ms	z
55.0ms	x
35.0ms	y

Results

Error	Segments	Branch
3.9b	3	`x`
0.3b	3	`y`
0.3b	3	`z`

Compiler

Compiled 247 to 115 computations (53.4% saved)

bsearch90.0ms (0.8%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
19.0ms	9.217500993993999e+74	2.892836251596766e+76
71.0ms	-2.942919663377527e-21	-1.0237895941192441e-22

Compiler

Compiled 41 to 28 computations (31.7% saved)

regimes139.0ms (1.3%)

Counts

24 → 3

Calls

Call 1

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

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

Calls

3 calls:

64.0ms	x
34.0ms	z
34.0ms	y

Results

Error	Segments	Branch
5.6b	1	`x`
0.3b	3	`y`
0.3b	3	`z`

Compiler

Compiled 239 to 113 computations (52.7% saved)

bsearch22.0ms (0.2%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
7.0ms	3.391088489497809e+43	4.216245630282053e+67
15.0ms	-3.026436241247535	-0.026332590114838714

Compiler

Compiled 62 to 42 computations (32.3% saved)

regimes118.0ms (1.1%)

Counts

23 → 3

Calls

Call 1

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

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

Calls

3 calls:

67.0ms	y
34.0ms	z
11.0ms	x

Results

Error	Segments	Branch
5.6b	1	`x`
0.4b	3	`y`
0.3b	3	`z`

Compiler

Compiled 231 to 110 computations (52.4% saved)

bsearch30.0ms (0.3%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
18.0ms	9.217500993993999e+74	2.892836251596766e+76
11.0ms	-2.942919663377527e-21	-1.0237895941192441e-22

Compiler

Compiled 52 to 35 computations (32.7% saved)

regimes113.0ms (1.1%)

Counts

22 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

3 calls:

49.0ms	x
29.0ms	z
29.0ms	y

Results

Error	Segments	Branch
4.2b	3	`x`
1.2b	3	`y`
1.1b	3	`z`

Compiler

Compiled 223 to 107 computations (52% saved)

bsearch19.0ms (0.2%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
6.0ms	6.562186855572703e-89	1.4355778007125983e-74
13.0ms	-2.942919663377527e-21	-1.0237895941192441e-22

Compiler

Compiled 93 to 62 computations (33.3% saved)

regimes118.0ms (1.1%)

Counts

19 → 3

Calls

Call 1

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

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

Calls

3 calls:

46.0ms	x
41.0ms	z
26.0ms	y

Results

Error	Segments	Branch
4.7b	3	`x`
1.2b	3	`y`
1.2b	3	`z`

Compiler

Compiled 172 to 83 computations (51.7% saved)

bsearch25.0ms (0.2%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
6.0ms	6.562186855572703e-89	1.4355778007125983e-74
19.0ms	-1.0806512456252096e+72	-2.4944383723121306e+67

Compiler

Compiled 41 to 28 computations (31.7% saved)

regimes131.0ms (1.2%)

Counts

17 → 3

Calls

Call 1

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

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

Calls

3 calls:

77.0ms	z
25.0ms	y
24.0ms	x

Results

Error	Segments	Branch
5.2b	3	`x`
1.2b	3	`y`
1.2b	3	`z`

Compiler

Compiled 142 to 70 computations (50.7% saved)

bsearch26.0ms (0.2%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
6.0ms	6.562186855572703e-89	1.4355778007125983e-74
19.0ms	-9.97574426617962e+83	-3.9264279743133034e+82

Compiler

Compiled 41 to 28 computations (31.7% saved)

regimes227.0ms (2.1%)

Counts

13 → 3

Calls

Call 1

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

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

Calls

3 calls:

108.0ms	x
69.0ms	y
44.0ms	z

Results

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

Compiler

Compiled 98 to 48 computations (51% saved)

bsearch29.0ms (0.3%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
10.0ms	6.562186855572703e-89	1.4355778007125983e-74
19.0ms	-2.942919663377527e-21	-1.0237895941192441e-22

Compiler

Compiled 53 to 36 computations (32.1% saved)

regimes62.0ms (0.6%)

Accuracy

Total -12.0b remaining (-722.5%)

Threshold costs -12.0b (-722.5%)

Counts

3 → 3

Calls

Call 1

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

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

Calls

3 calls:

28.0ms	y
25.0ms	z
8.0ms	x

Results

Error	Segments	Branch
7.1b	1	`x`
1.7b	3	`y`
4.7b	3	`z`

Compiler

Compiled 30 to 16 computations (46.7% saved)

bsearch52.0ms (0.5%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
34.0ms	1.3703740983440058e-63	1.1088673367927802e-57
18.0ms	-1.092955338372602e+25	-9.569466290505173e+24

Compiler

Compiled 35 to 24 computations (31.4% saved)

simplify27.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	80	452
1	99	452

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(if (<=.f64 (.f64 (cosh.f64 x) (/.f64 y x)) -499999999999999983668084402058345636924766592903277736458980889735647922960863931304369934227734528) (/.f64 y (.f64 z x)) (if (<=.f64 (.f64 (cosh.f64 x) (/.f64 y x)) 500000000000000033218233870624051559273578085293146227242730553688428373313942025291772445173343784902203060391783730334018872146080525445438937693685560099880385440039019562564899736303066977469942164287306646602841967984783674295365678010359632817483559061875818696759295984370225714747670528) (/.f64 (.f64 (cosh.f64 x) (/.f64 y x)) z) (/.f64 (/.f64 y z) x)))
(if (<=.f64 z -5316911983139663/5316911983139663491615228241121378304) (.f64 y (/.f64 (/.f64 (cosh.f64 x) z) x)) (if (<=.f64 z 921750099399399850749071217788477490551821633110172811810960427985242423296) (/.f64 (/.f64 (cosh.f64 x) (/.f64 x y)) z) (/.f64 y (.f64 z x))))
(if (<=.f64 y -1) (/.f64 y (.f64 z x)) (if (<=.f64 y 100000000000000007629769841091887003294964970946560) (/.f64 (/.f64 (cosh.f64 x) (/.f64 x y)) z) (/.f64 (.f64 y (/.f64 (cosh.f64 x) z)) x)))
(if (<=.f64 z -5316911983139663/5316911983139663491615228241121378304) (+.f64 (/.f64 y (.f64 x z)) (.f64 y (.f64 (/.f64 x z) (+.f64 (.f64 x (.f64 x 1/24)) 1/2)))) (if (<=.f64 z 921750099399399850749071217788477490551821633110172811810960427985242423296) (/.f64 (/.f64 (cosh.f64 x) (/.f64 x y)) z) (/.f64 y (.f64 z x))))
(if (<=.f64 z -5316911983139663/5316911983139663491615228241121378304) (+.f64 (/.f64 y (.f64 x z)) (.f64 y (.f64 (/.f64 x z) (+.f64 (.f64 x (.f64 x 1/24)) 1/2)))) (if (<=.f64 z 5339967589802275/533996758980227520598755426542388028650676130589163192486760401955554931445160137505740521734144) (/.f64 (+.f64 (/.f64 y x) (.f64 1/2 (.f64 y x))) z) (+.f64 (/.f64 y (.f64 x z)) (.f64 y (.f64 (/.f64 x z) (+.f64 (.f64 x (.f64 x 1/24)) 1/2))))))
(if (<=.f64 z -1080651245625209626930837550708560944205533505769992820688638553343655936) (.f64 y (+.f64 (/.f64 1 (.f64 z x)) (.f64 1/2 (/.f64 x z)))) (if (<=.f64 z 5339967589802275/533996758980227520598755426542388028650676130589163192486760401955554931445160137505740521734144) (/.f64 (+.f64 (/.f64 y x) (.f64 1/2 (.f64 y x))) z) (/.f64 y (.f64 z x))))
(if (<=.f64 z -997574426617962014670912616173409497485548812804957884000055776609650095318194192384) (/.f64 y (.f64 z x)) (if (<=.f64 z 5339967589802275/533996758980227520598755426542388028650676130589163192486760401955554931445160137505740521734144) (/.f64 (+.f64 (/.f64 y x) (.f64 1/2 (.f64 y x))) z) (/.f64 y (.f64 z x))))
(if (<=.f64 z -5316911983139663/5316911983139663491615228241121378304) (/.f64 y (.f64 z x)) (if (<=.f64 z 5339967589802275/533996758980227520598755426542388028650676130589163192486760401955554931445160137505740521734144) (/.f64 (/.f64 y x) z) (/.f64 y (.f64 z x))))
(if (<=.f64 y -10000000000000000905969664) (/.f64 (/.f64 y z) x) (if (<=.f64 y 5077711356286587/3705346855594118253554271520278013051304639509300498049262642688253220148477952) (/.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)) -499999999999999983668084402058345636924766592903277736458980889735647922960863931304369934227734528) (/.f64 y (.f64 z x)) (if (<=.f64 (.f64 (cosh.f64 x) (/.f64 y x)) 500000000000000033218233870624051559273578085293146227242730553688428373313942025291772445173343784902203060391783730334018872146080525445438937693685560099880385440039019562564899736303066977469942164287306646602841967984783674295365678010359632817483559061875818696759295984370225714747670528) (/.f64 (.f64 (cosh.f64 x) (/.f64 y x)) z) (/.f64 (/.f64 y z) x)))
(if (<=.f64 (.f64 (cosh.f64 x) (/.f64 y x)) -499999999999999983668084402058345636924766592903277736458980889735647922960863931304369934227734528) (/.f64 y (.f64 x z)) (if (<=.f64 (.f64 (cosh.f64 x) (/.f64 y x)) 500000000000000033218233870624051559273578085293146227242730553688428373313942025291772445173343784902203060391783730334018872146080525445438937693685560099880385440039019562564899736303066977469942164287306646602841967984783674295365678010359632817483559061875818696759295984370225714747670528) (/.f64 (.f64 (cosh.f64 x) (/.f64 y x)) z) (/.f64 (/.f64 y z) x)))
(if (<=.f64 z -5316911983139663/5316911983139663491615228241121378304) (.f64 y (/.f64 (/.f64 (cosh.f64 x) z) x)) (if (<=.f64 z 921750099399399850749071217788477490551821633110172811810960427985242423296) (/.f64 (/.f64 (cosh.f64 x) (/.f64 x y)) z) (/.f64 y (.f64 z x))))
(if (<=.f64 z -5316911983139663/5316911983139663491615228241121378304) (.f64 y (/.f64 (/.f64 (cosh.f64 x) z) x)) (if (<=.f64 z 921750099399399850749071217788477490551821633110172811810960427985242423296) (/.f64 (/.f64 (cosh.f64 x) (/.f64 x y)) z) (/.f64 y (.f64 x z))))
(if (<=.f64 y -1) (/.f64 y (.f64 z x)) (if (<=.f64 y 100000000000000007629769841091887003294964970946560) (/.f64 (/.f64 (cosh.f64 x) (/.f64 x y)) z) (/.f64 (.f64 y (/.f64 (cosh.f64 x) z)) x)))
(if (<=.f64 y -1) (/.f64 y (.f64 x z)) (if (<=.f64 y 100000000000000007629769841091887003294964970946560) (/.f64 (/.f64 (cosh.f64 x) (/.f64 x y)) z) (/.f64 (.f64 y (/.f64 (cosh.f64 x) z)) x)))
(if (<=.f64 z -5316911983139663/5316911983139663491615228241121378304) (+.f64 (/.f64 y (.f64 x z)) (.f64 y (.f64 (/.f64 x z) (+.f64 (.f64 x (.f64 x 1/24)) 1/2)))) (if (<=.f64 z 921750099399399850749071217788477490551821633110172811810960427985242423296) (/.f64 (/.f64 (cosh.f64 x) (/.f64 x y)) z) (/.f64 y (.f64 z x))))
(if (<=.f64 z -5316911983139663/5316911983139663491615228241121378304) (+.f64 (/.f64 y (.f64 x z)) (.f64 y (.f64 (/.f64 x z) (+.f64 (.f64 x (.f64 x 1/24)) 1/2)))) (if (<=.f64 z 921750099399399850749071217788477490551821633110172811810960427985242423296) (/.f64 (/.f64 (cosh.f64 x) (/.f64 x y)) z) (/.f64 y (.f64 x z))))
(if (<=.f64 z -5316911983139663/5316911983139663491615228241121378304) (+.f64 (/.f64 y (.f64 x z)) (.f64 y (.f64 (/.f64 x z) (+.f64 (.f64 x (.f64 x 1/24)) 1/2)))) (if (<=.f64 z 5339967589802275/533996758980227520598755426542388028650676130589163192486760401955554931445160137505740521734144) (/.f64 (+.f64 (/.f64 y x) (.f64 1/2 (.f64 y x))) z) (+.f64 (/.f64 y (.f64 x z)) (.f64 y (.f64 (/.f64 x z) (+.f64 (.f64 x (.f64 x 1/24)) 1/2))))))
(if (<=.f64 z -5316911983139663/5316911983139663491615228241121378304) (+.f64 (/.f64 y (.f64 x z)) (.f64 y (.f64 (/.f64 x z) (+.f64 (.f64 x (.f64 x 1/24)) 1/2)))) (if (<=.f64 z 5339967589802275/533996758980227520598755426542388028650676130589163192486760401955554931445160137505740521734144) (/.f64 (+.f64 (/.f64 y x) (.f64 1/2 (.f64 x y))) z) (+.f64 (/.f64 y (.f64 x z)) (.f64 y (.f64 (/.f64 x z) (+.f64 (.f64 x (.f64 x 1/24)) 1/2))))))
(if (<=.f64 z -1080651245625209626930837550708560944205533505769992820688638553343655936) (.f64 y (+.f64 (/.f64 1 (.f64 z x)) (.f64 1/2 (/.f64 x z)))) (if (<=.f64 z 5339967589802275/533996758980227520598755426542388028650676130589163192486760401955554931445160137505740521734144) (/.f64 (+.f64 (/.f64 y x) (.f64 1/2 (.f64 y x))) z) (/.f64 y (.f64 z x))))
(if (<=.f64 z -1080651245625209626930837550708560944205533505769992820688638553343655936) (.f64 y (+.f64 (/.f64 1 (.f64 x z)) (.f64 (/.f64 x z) 1/2))) (if (<=.f64 z 5339967589802275/533996758980227520598755426542388028650676130589163192486760401955554931445160137505740521734144) (/.f64 (+.f64 (/.f64 y x) (.f64 1/2 (.f64 x y))) z) (/.f64 y (.f64 x z))))
(if (<=.f64 z -997574426617962014670912616173409497485548812804957884000055776609650095318194192384) (/.f64 y (.f64 z x)) (if (<=.f64 z 5339967589802275/533996758980227520598755426542388028650676130589163192486760401955554931445160137505740521734144) (/.f64 (+.f64 (/.f64 y x) (.f64 1/2 (.f64 y x))) z) (/.f64 y (.f64 z x))))
(if (<=.f64 z -997574426617962014670912616173409497485548812804957884000055776609650095318194192384) (/.f64 y (.f64 x z)) (if (<=.f64 z 5339967589802275/533996758980227520598755426542388028650676130589163192486760401955554931445160137505740521734144) (/.f64 (+.f64 (/.f64 y x) (.f64 1/2 (.f64 x y))) z) (/.f64 y (.f64 x z))))
(if (<=.f64 z -5316911983139663/5316911983139663491615228241121378304) (/.f64 y (.f64 z x)) (if (<=.f64 z 5339967589802275/533996758980227520598755426542388028650676130589163192486760401955554931445160137505740521734144) (/.f64 (/.f64 y x) z) (/.f64 y (.f64 z x))))
(if (<=.f64 z -5316911983139663/5316911983139663491615228241121378304) (/.f64 y (.f64 x z)) (if (<=.f64 z 5339967589802275/533996758980227520598755426542388028650676130589163192486760401955554931445160137505740521734144) (/.f64 (/.f64 y x) z) (/.f64 y (.f64 x z))))
(if (<=.f64 y -10000000000000000905969664) (/.f64 (/.f64 y z) x) (if (<=.f64 y 5077711356286587/3705346855594118253554271520278013051304639509300498049262642688253220148477952) (/.f64 (/.f64 y x) z) (/.f64 (/.f64 y z) x)))
(/.f64 (/.f64 y z) x)

Compiler

Compiled 338 to 183 computations (45.9% saved)

soundness156.0ms (1.5%)

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

Compiler

Compiled 55 to 35 computations (36.4% saved)

end325.0ms (3%)

Compiler: Compiled 311 to 118 computations (62.1% saved)