Details

analyze531.0ms (13.8%)

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
25%	25%	74.9%	0.1%	0%	0%	0%	7
31.3%	31.2%	68.7%	0.1%	0%	0%	0%	8
56.3%	56.2%	43.7%	0.1%	0%	0%	0%	9
60.9%	60.9%	39%	0.1%	0%	0%	0%	10
76.6%	76.5%	23.4%	0.1%	0%	0%	0%	11
79.3%	79.2%	20.7%	0.1%	0%	0%	0%	12

Compiler

Compiled 12 to 8 computations (33.3% saved)

sample1.1s (29.8%)

Results

1.1s

8256×

body

256

valid

Bogosity

preprocess34.0ms (0.9%)

Algorithm

2×	egg-herbie

Rules

12×	`associate-/r*_binary64`
5×	`*-commutative_binary64`
4×	`associate-l_binary64`
4×	`associate-/l/_binary64`
2×	`associate-r_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	26
1	24	26
2	39	26
3	49	26
4	49	26
0	2	2
1	2	2

Stop Event

1×	unsound
1×	saturated

Calls

Call 1

Inputs
0
1

Outputs
0
1
0

Call 2

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

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

Symmetry

(sort x y)

Compiler

Compiled 13 to 9 computations (30.8% saved)

simplify8.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

13×	`associate-/r*_binary64`
5×	`*-commutative_binary64`
4×	`associate-/l/_binary64`
3×	`associate-r_binary64`
3×	`associate-l_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	13
1	15	13
2	29	13
3	43	13
4	45	13

Stop Event

1×

saturated

Counts

1 → 2

Calls

Call 1

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

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

eval1.0ms (0%)

Compiler: Compiled 20 to 11 computations (45% saved)

prune1.0ms (0%)

Pruning

3 alts after pruning (3 fresh and 0 done)

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

Error

0.1b

Counts

3 → 2

Alt Table

Click to see full alt table

Status	Error	Program
▶	8.9b	(/.f64 (/.f64 (+.f64 x y) x) (*.f64 y 2))
▶	13.8b	(/.f64 (+.f64 x y) (.f64 (.f64 x 2) y))

Compiler

Compiled 22 to 14 computations (36.4% saved)

localize9.0ms (0.2%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	13.3b	(/.f64 (+.f64 x y) (.f64 (.f64 x 2) y))

Compiler

Compiled 25 to 13 computations (48% saved)

series14.0ms (0.4%)

Counts

1 → 24

Calls

6 calls:

Time	Variable		Point	Expression
6.0ms	x	@	0	(/.f64 (+.f64 x y) (.f64 (.f64 x 2) y))
2.0ms	y	@	-inf	(/.f64 (+.f64 x y) (.f64 (.f64 x 2) y))
2.0ms	x	@	inf	(/.f64 (+.f64 x y) (.f64 (.f64 x 2) y))
1.0ms	x	@	-inf	(/.f64 (+.f64 x y) (.f64 (.f64 x 2) y))
1.0ms	y	@	inf	(/.f64 (+.f64 x y) (.f64 (.f64 x 2) y))

rewrite98.0ms (2.5%)

Algorithm

1×	batch-egg-rewrite

Rules

517×	`log-prod_binary64`
482×	`prod-diff_binary64`
321×	`pow-prod-down_binary64`
243×	`pow2_binary64`
180×	`fma-def_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	13
1	180	13
2	2668	13

Stop Event

1×	node limit

Counts

1 → 54

Calls

Call 1

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

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

Outputs

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

simplify26.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

4×	`fma-def_binary64`
3×	`*-commutative_binary64`
2×	`+-commutative_binary64`
2×	`associate-*r/_binary64`
1×	`distribute-lft-out_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	204
1	21	204
2	28	204

Stop Event

1×

saturated

Counts

78 → 58

Calls

Call 1

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

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

localize21.0ms (0.5%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(/.f64 (+.f64 x y) x)
✓	8.4b	(/.f64 (/.f64 (+.f64 x y) x) (*.f64 y 2))

Compiler

Compiled 25 to 10 computations (60% saved)

series7.0ms (0.2%)

Counts

2 → 48

Calls

12 calls:

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

rewrite101.0ms (2.6%)

Algorithm

1×	batch-egg-rewrite

Rules

544×	`log-prod_binary64`
500×	`prod-diff_binary64`
348×	`pow-prod-down_binary64`
257×	`pow2_binary64`
199×	`log-div_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	20
1	186	20
2	2938	20

Stop Event

1×	node limit

Counts

2 → 95

Calls

Call 1

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

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

Outputs

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

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

simplify27.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

4×	`fma-def_binary64`
3×	`+-commutative_binary64`
3×	`*-commutative_binary64`
2×	`associate-*r/_binary64`
1×	`distribute-lft-out_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	345
1	24	345
2	31	345

Stop Event

1×

saturated

Counts

143 → 103

Calls

Call 1

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

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

eval70.0ms (1.8%)

Compiler: Compiled 2289 to 957 computations (58.2% saved)

prune56.0ms (1.5%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	156	5	161
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	156	7	163

Error

Counts

163 → 7

Alt Table

Click to see full alt table

Status	Error	Program
▶	31.6b	(/.f64 1/2 x)
✓	8.9b	(/.f64 (/.f64 (+.f64 x y) x) (*.f64 y 2))
▶	0.0b	(+.f64 (/.f64 1/2 y) (/.f64 1/2 x))
▶	31.4b	(/.f64 1/2 y)
▶	22.4b	(/.f64 (cbrt.f64 (pow.f64 (/.f64 (+.f64 x y) x) 3)) (*.f64 y 2))
✓	13.8b	(/.f64 (+.f64 x y) (.f64 (.f64 x 2) y))
▶	9.2b	(/.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 x y) x)) 3) (*.f64 y 2))

Compiler

Compiled 116 to 84 computations (27.6% saved)

localize17.0ms (0.4%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 18 to 12 computations (33.3% saved)

series5.0ms (0.1%)

Counts

1 → 24

Calls

6 calls:

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

rewrite91.0ms (2.4%)

Algorithm

1×	batch-egg-rewrite

Rules

903×	`prod-diff_binary64`
555×	`unpow-prod-down_binary64`
401×	`log-prod_binary64`
290×	`fma-def_binary64`
230×	`pow2_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	10
1	167	10
2	2527	10

Stop Event

1×	node limit

Counts

1 → 89

Calls

Call 1

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

Outputs

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

simplify29.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

4×	`fma-def_binary64`
3×	`*-commutative_binary64`
2×	`+-commutative_binary64`
2×	`associate-*r/_binary64`
1×	`distribute-lft-out_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	204
1	21	204
2	28	204

Stop Event

1×

saturated

Counts

113 → 93

Calls

Call 1

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

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

localize7.0ms (0.2%)

Compiler: Compiled 7 to 5 computations (28.6% saved)

localize7.0ms (0.2%)

Compiler: Compiled 7 to 5 computations (28.6% saved)

localize38.0ms (1%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.0b	(/.f64 (+.f64 x y) x)
✓	0.1b	(pow.f64 (/.f64 (+.f64 x y) x) 3)
✓	8.4b	(/.f64 (cbrt.f64 (pow.f64 (/.f64 (+.f64 x y) x) 3)) (*.f64 y 2))
✓	12.7b	(cbrt.f64 (pow.f64 (/.f64 (+.f64 x y) x) 3))

Compiler

Compiled 44 to 19 computations (56.8% saved)

series18.0ms (0.5%)

Counts

3 → 72

Calls

18 calls:

Time	Variable		Point	Expression
3.0ms	x	@	0	(pow.f64 (/.f64 (+.f64 x y) x) 3)
3.0ms	x	@	-inf	(cbrt.f64 (pow.f64 (/.f64 (+.f64 x y) x) 3))
1.0ms	x	@	-inf	(/.f64 (cbrt.f64 (pow.f64 (/.f64 (+.f64 x y) x) 3)) (*.f64 y 2))
1.0ms	x	@	-inf	(pow.f64 (/.f64 (+.f64 x y) x) 3)
1.0ms	y	@	0	(pow.f64 (/.f64 (+.f64 x y) x) 3)

rewrite150.0ms (3.9%)

Algorithm

1×	batch-egg-rewrite

Rules

603×	`log-prod_binary64`
509×	`prod-diff_binary64`
291×	`pow2_binary64`
199×	`pow1/3_binary64`
199×	`expm1-udef_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	30
1	253	30
2	3381	30

Stop Event

1×	node limit

Counts

3 → 145

Calls

Call 1

Inputs
(cbrt.f64 (pow.f64 (/.f64 (+.f64 x y) x) 3))
(/.f64 (cbrt.f64 (pow.f64 (/.f64 (+.f64 x y) x) 3)) (*.f64 y 2))
(pow.f64 (/.f64 (+.f64 x y) x) 3)

Outputs

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

((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (pow.f64 (/.f64 (+.f64 x y) x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (pow.f64 (/.f64 (+.f64 x y) x) 3))) 2)) (log.f64 (cbrt.f64 (exp.f64 (pow.f64 (/.f64 (+.f64 x y) x) 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (/.f64 (+.f64 x y) x) 3)))) (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (/.f64 (+.f64 x y) x) 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (pow.f64 (/.f64 (+.f64 x y) x) 3))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 x y) (*.f64 (/.f64 1 x) (pow.f64 (/.f64 (+.f64 x y) x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 x y) x) (pow.f64 (/.f64 (+.f64 x y) x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 (+.f64 x y) x) 3) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (pow.f64 (/.f64 (+.f64 x y) x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 (+.f64 x y) x) 2) (/.f64 (+.f64 x y) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 x y) x)) 2) (*.f64 (cbrt.f64 (/.f64 (+.f64 x y) x)) (pow.f64 (/.f64 (+.f64 x y) x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (+.f64 x y) x)) (*.f64 (sqrt.f64 (/.f64 (+.f64 x y) x)) (pow.f64 (/.f64 (+.f64 x y) x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (+.f64 x y) 3) (pow.f64 (/.f64 1 x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (+.f64 x y) 3) (/.f64 1 (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 (+.f64 x y) x) 3/2) (pow.f64 (/.f64 (+.f64 x y) x) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (/.f64 (+.f64 x y) x) 2) (+.f64 x y)) (/.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (/.f64 (+.f64 x y) x) 2) 1) (/.f64 (+.f64 x y) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (/.f64 (+.f64 x y) x) 2) (pow.f64 (cbrt.f64 (/.f64 (+.f64 x y) x)) 2)) (cbrt.f64 (/.f64 (+.f64 x y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (/.f64 (+.f64 x y) x) 2) (sqrt.f64 (/.f64 (+.f64 x y) x))) (sqrt.f64 (/.f64 (+.f64 x y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (pow.f64 x 3) (pow.f64 (+.f64 x y) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (pow.f64 (/.f64 x (+.f64 x y)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (/.f64 (+.f64 x y) x) 2) (/.f64 x (+.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (+.f64 x y) 3) (pow.f64 x 3))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (neg.f64 (+.f64 x y)) 3) (pow.f64 (neg.f64 x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (pow.f64 (+.f64 x y) 3)) (neg.f64 (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 x y) (pow.f64 (/.f64 (+.f64 x y) x) 2)) x)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 (+.f64 x y)) (pow.f64 (/.f64 (+.f64 x y) x) 2)) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (pow.f64 (/.f64 (+.f64 x y) x) 2) (+.f64 x y)) x)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (pow.f64 (/.f64 (+.f64 x y) x) 2) 1) (/.f64 x (+.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (pow.f64 (/.f64 (+.f64 x y) x) 2) (neg.f64 (+.f64 x y))) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (+.f64 x y) x) 6))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 (/.f64 (+.f64 x y) x) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (pow.f64 (/.f64 (+.f64 x y) x) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (pow.f64 (/.f64 (+.f64 x y) x) 3) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 (/.f64 (+.f64 x y) x) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 (/.f64 (+.f64 x y) x) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 3 (log.f64 (/.f64 (+.f64 x y) x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3 (log.f64 (/.f64 (+.f64 x y) x))) 1))))))

simplify120.0ms (3.1%)

Algorithm

1×	egg-herbie

Rules

563×	`unswap-sqr_binary64`
544×	`times-frac_binary64`
443×	`associate-/l*_binary64`
311×	`fma-def_binary64`
304×	`associate-+l+_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	72	1098
1	213	981
2	580	795
3	1937	789
4	6110	789

Stop Event

1×	node limit

Counts

217 → 183

Calls

Call 1

Inputs
(/.f64 y x)
(+.f64 1 (/.f64 y x))
(+.f64 1 (/.f64 y x))
(+.f64 1 (/.f64 y x))
1
(+.f64 (/.f64 y x) 1)
(+.f64 (/.f64 y x) 1)
(+.f64 (/.f64 y x) 1)
(*.f64 -1 (cbrt.f64 -1))
(+.f64 (.f64 -1 (cbrt.f64 -1)) (.f64 -1 (/.f64 (*.f64 y (cbrt.f64 -1)) x)))
(+.f64 (.f64 -1 (cbrt.f64 -1)) (.f64 -1 (/.f64 (*.f64 y (cbrt.f64 -1)) x)))
(+.f64 (.f64 -1 (cbrt.f64 -1)) (.f64 -1 (/.f64 (*.f64 y (cbrt.f64 -1)) x)))
1
(+.f64 (/.f64 y x) 1)
(+.f64 (/.f64 y x) 1)
(+.f64 (/.f64 y x) 1)
(/.f64 y x)
(+.f64 1 (/.f64 y x))
(+.f64 1 (/.f64 y x))
(+.f64 1 (/.f64 y x))
(/.f64 y x)
(+.f64 1 (/.f64 y x))
(+.f64 1 (/.f64 y x))
(+.f64 1 (/.f64 y x))
(/.f64 1/2 x)
(+.f64 (.f64 1/2 (/.f64 1 y)) (.f64 1/2 (/.f64 1 x)))
(+.f64 (.f64 1/2 (/.f64 1 y)) (.f64 1/2 (/.f64 1 x)))
(+.f64 (.f64 1/2 (/.f64 1 y)) (.f64 1/2 (/.f64 1 x)))
(/.f64 1/2 y)
(+.f64 (.f64 1/2 (/.f64 1 y)) (.f64 1/2 (/.f64 1 x)))
(+.f64 (.f64 1/2 (/.f64 1 y)) (.f64 1/2 (/.f64 1 x)))
(+.f64 (.f64 1/2 (/.f64 1 y)) (.f64 1/2 (/.f64 1 x)))
(*.f64 -1/2 (/.f64 (cbrt.f64 -1) y))
(+.f64 (.f64 -1/2 (/.f64 (cbrt.f64 -1) x)) (.f64 -1/2 (/.f64 (cbrt.f64 -1) y)))
(+.f64 (.f64 -1/2 (/.f64 (cbrt.f64 -1) x)) (.f64 -1/2 (/.f64 (cbrt.f64 -1) y)))
(+.f64 (.f64 -1/2 (/.f64 (cbrt.f64 -1) x)) (.f64 -1/2 (/.f64 (cbrt.f64 -1) y)))
(/.f64 1/2 y)
(+.f64 (.f64 1/2 (/.f64 1 y)) (.f64 1/2 (/.f64 1 x)))
(+.f64 (.f64 1/2 (/.f64 1 y)) (.f64 1/2 (/.f64 1 x)))
(+.f64 (.f64 1/2 (/.f64 1 y)) (.f64 1/2 (/.f64 1 x)))
(/.f64 1/2 x)
(+.f64 (.f64 1/2 (/.f64 1 y)) (.f64 1/2 (/.f64 1 x)))
(+.f64 (.f64 1/2 (/.f64 1 y)) (.f64 1/2 (/.f64 1 x)))
(+.f64 (.f64 1/2 (/.f64 1 y)) (.f64 1/2 (/.f64 1 x)))
(/.f64 1/2 x)
(+.f64 (.f64 1/2 (/.f64 1 y)) (.f64 1/2 (/.f64 1 x)))
(+.f64 (.f64 1/2 (/.f64 1 y)) (.f64 1/2 (/.f64 1 x)))
(+.f64 (.f64 1/2 (/.f64 1 y)) (.f64 1/2 (/.f64 1 x)))
(/.f64 (pow.f64 y 3) (pow.f64 x 3))
(+.f64 (/.f64 (pow.f64 y 3) (pow.f64 x 3)) (+.f64 (*.f64 2 (/.f64 (pow.f64 y 2) (pow.f64 x 2))) (/.f64 (pow.f64 y 2) (pow.f64 x 2))))
(+.f64 (/.f64 y x) (+.f64 (/.f64 (pow.f64 y 3) (pow.f64 x 3)) (+.f64 (.f64 2 (/.f64 (pow.f64 y 2) (pow.f64 x 2))) (+.f64 (.f64 2 (/.f64 y x)) (/.f64 (pow.f64 y 2) (pow.f64 x 2))))))
(+.f64 1 (+.f64 (/.f64 y x) (+.f64 (/.f64 (pow.f64 y 3) (pow.f64 x 3)) (+.f64 (.f64 2 (/.f64 (pow.f64 y 2) (pow.f64 x 2))) (+.f64 (.f64 2 (/.f64 y x)) (/.f64 (pow.f64 y 2) (pow.f64 x 2)))))))
1
(+.f64 (/.f64 y x) (+.f64 1 (*.f64 2 (/.f64 y x))))
(+.f64 (/.f64 y x) (+.f64 1 (+.f64 (.f64 2 (/.f64 y x)) (+.f64 (.f64 2 (/.f64 (pow.f64 y 2) (pow.f64 x 2))) (/.f64 (pow.f64 y 2) (pow.f64 x 2))))))
(+.f64 (/.f64 y x) (+.f64 (/.f64 (pow.f64 y 3) (pow.f64 x 3)) (+.f64 1 (+.f64 (.f64 2 (/.f64 y x)) (+.f64 (.f64 2 (/.f64 (pow.f64 y 2) (pow.f64 x 2))) (/.f64 (pow.f64 y 2) (pow.f64 x 2)))))))
1
(+.f64 1 (.f64 -1 (/.f64 (+.f64 (.f64 -2 y) (*.f64 -1 y)) x)))
(+.f64 1 (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 -2 y) (.f64 -1 y)) x)) (+.f64 (.f64 2 (/.f64 (pow.f64 y 2) (pow.f64 x 2))) (/.f64 (pow.f64 y 2) (pow.f64 x 2)))))
(+.f64 (/.f64 (pow.f64 y 3) (pow.f64 x 3)) (+.f64 1 (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 -2 y) (.f64 -1 y)) x)) (+.f64 (.f64 2 (/.f64 (pow.f64 y 2) (pow.f64 x 2))) (/.f64 (pow.f64 y 2) (pow.f64 x 2))))))
1
(+.f64 (*.f64 3 (/.f64 y x)) 1)
(+.f64 (.f64 3 (/.f64 y x)) (+.f64 1 (.f64 3 (/.f64 (pow.f64 y 2) (pow.f64 x 2)))))
(+.f64 (.f64 3 (/.f64 y x)) (+.f64 (/.f64 (pow.f64 y 3) (pow.f64 x 3)) (+.f64 1 (.f64 3 (/.f64 (pow.f64 y 2) (pow.f64 x 2))))))
(/.f64 (pow.f64 y 3) (pow.f64 x 3))
(+.f64 (/.f64 (pow.f64 y 3) (pow.f64 x 3)) (*.f64 3 (/.f64 (pow.f64 y 2) (pow.f64 x 2))))
(+.f64 (.f64 3 (/.f64 y x)) (+.f64 (/.f64 (pow.f64 y 3) (pow.f64 x 3)) (.f64 3 (/.f64 (pow.f64 y 2) (pow.f64 x 2)))))
(+.f64 1 (+.f64 (.f64 3 (/.f64 y x)) (+.f64 (/.f64 (pow.f64 y 3) (pow.f64 x 3)) (.f64 3 (/.f64 (pow.f64 y 2) (pow.f64 x 2))))))
(/.f64 (pow.f64 y 3) (pow.f64 x 3))
(+.f64 (/.f64 (pow.f64 y 3) (pow.f64 x 3)) (*.f64 3 (/.f64 (pow.f64 y 2) (pow.f64 x 2))))
(+.f64 (.f64 3 (/.f64 y x)) (+.f64 (/.f64 (pow.f64 y 3) (pow.f64 x 3)) (.f64 3 (/.f64 (pow.f64 y 2) (pow.f64 x 2)))))
(+.f64 1 (+.f64 (.f64 3 (/.f64 y x)) (+.f64 (/.f64 (pow.f64 y 3) (pow.f64 x 3)) (.f64 3 (/.f64 (pow.f64 y 2) (pow.f64 x 2))))))

Outputs
(/.f64 y x)
(+.f64 1 (/.f64 y x))
(+.f64 (/.f64 y x) 1)
(+.f64 1 (/.f64 y x))
(+.f64 (/.f64 y x) 1)
(+.f64 1 (/.f64 y x))
(+.f64 (/.f64 y x) 1)
1
(+.f64 (/.f64 y x) 1)
(+.f64 (/.f64 y x) 1)
(+.f64 (/.f64 y x) 1)
(*.f64 -1 (cbrt.f64 -1))
(neg.f64 (cbrt.f64 -1))
(+.f64 (.f64 -1 (cbrt.f64 -1)) (.f64 -1 (/.f64 (*.f64 y (cbrt.f64 -1)) x)))
(fma.f64 -1 (cbrt.f64 -1) (neg.f64 (/.f64 y (/.f64 x (cbrt.f64 -1)))))
(-.f64 (neg.f64 (cbrt.f64 -1)) (*.f64 (/.f64 y x) (cbrt.f64 -1)))
(*.f64 (cbrt.f64 -1) (-.f64 -1 (/.f64 y x)))
(+.f64 (.f64 -1 (cbrt.f64 -1)) (.f64 -1 (/.f64 (*.f64 y (cbrt.f64 -1)) x)))
(fma.f64 -1 (cbrt.f64 -1) (neg.f64 (/.f64 y (/.f64 x (cbrt.f64 -1)))))
(-.f64 (neg.f64 (cbrt.f64 -1)) (*.f64 (/.f64 y x) (cbrt.f64 -1)))
(*.f64 (cbrt.f64 -1) (-.f64 -1 (/.f64 y x)))
(+.f64 (.f64 -1 (cbrt.f64 -1)) (.f64 -1 (/.f64 (*.f64 y (cbrt.f64 -1)) x)))
(fma.f64 -1 (cbrt.f64 -1) (neg.f64 (/.f64 y (/.f64 x (cbrt.f64 -1)))))
(-.f64 (neg.f64 (cbrt.f64 -1)) (*.f64 (/.f64 y x) (cbrt.f64 -1)))
(*.f64 (cbrt.f64 -1) (-.f64 -1 (/.f64 y x)))
1
(+.f64 (/.f64 y x) 1)
(+.f64 (/.f64 y x) 1)
(+.f64 (/.f64 y x) 1)
(/.f64 y x)
(+.f64 1 (/.f64 y x))
(+.f64 (/.f64 y x) 1)
(+.f64 1 (/.f64 y x))
(+.f64 (/.f64 y x) 1)
(+.f64 1 (/.f64 y x))
(+.f64 (/.f64 y x) 1)
(/.f64 y x)
(+.f64 1 (/.f64 y x))
(+.f64 (/.f64 y x) 1)
(+.f64 1 (/.f64 y x))
(+.f64 (/.f64 y x) 1)
(+.f64 1 (/.f64 y x))
(+.f64 (/.f64 y x) 1)
(/.f64 1/2 x)
(+.f64 (.f64 1/2 (/.f64 1 y)) (.f64 1/2 (/.f64 1 x)))
(+.f64 (/.f64 1/2 y) (/.f64 1/2 x))
(+.f64 (.f64 1/2 (/.f64 1 y)) (.f64 1/2 (/.f64 1 x)))
(+.f64 (/.f64 1/2 y) (/.f64 1/2 x))
(+.f64 (.f64 1/2 (/.f64 1 y)) (.f64 1/2 (/.f64 1 x)))
(+.f64 (/.f64 1/2 y) (/.f64 1/2 x))
(/.f64 1/2 y)
(+.f64 (.f64 1/2 (/.f64 1 y)) (.f64 1/2 (/.f64 1 x)))
(+.f64 (/.f64 1/2 y) (/.f64 1/2 x))
(+.f64 (.f64 1/2 (/.f64 1 y)) (.f64 1/2 (/.f64 1 x)))
(+.f64 (/.f64 1/2 y) (/.f64 1/2 x))
(+.f64 (.f64 1/2 (/.f64 1 y)) (.f64 1/2 (/.f64 1 x)))
(+.f64 (/.f64 1/2 y) (/.f64 1/2 x))
(*.f64 -1/2 (/.f64 (cbrt.f64 -1) y))
(*.f64 (/.f64 -1/2 y) (cbrt.f64 -1))
(*.f64 (cbrt.f64 -1) (/.f64 -1/2 y))
(+.f64 (.f64 -1/2 (/.f64 (cbrt.f64 -1) x)) (.f64 -1/2 (/.f64 (cbrt.f64 -1) y)))
(*.f64 -1/2 (+.f64 (/.f64 (cbrt.f64 -1) x) (/.f64 (cbrt.f64 -1) y)))
(*.f64 -1/2 (+.f64 (/.f64 (cbrt.f64 -1) y) (/.f64 (cbrt.f64 -1) x)))
(*.f64 (cbrt.f64 -1) (+.f64 (/.f64 -1/2 y) (/.f64 -1/2 x)))
(+.f64 (.f64 -1/2 (/.f64 (cbrt.f64 -1) x)) (.f64 -1/2 (/.f64 (cbrt.f64 -1) y)))
(*.f64 -1/2 (+.f64 (/.f64 (cbrt.f64 -1) x) (/.f64 (cbrt.f64 -1) y)))
(*.f64 -1/2 (+.f64 (/.f64 (cbrt.f64 -1) y) (/.f64 (cbrt.f64 -1) x)))
(*.f64 (cbrt.f64 -1) (+.f64 (/.f64 -1/2 y) (/.f64 -1/2 x)))
(+.f64 (.f64 -1/2 (/.f64 (cbrt.f64 -1) x)) (.f64 -1/2 (/.f64 (cbrt.f64 -1) y)))
(*.f64 -1/2 (+.f64 (/.f64 (cbrt.f64 -1) x) (/.f64 (cbrt.f64 -1) y)))
(*.f64 -1/2 (+.f64 (/.f64 (cbrt.f64 -1) y) (/.f64 (cbrt.f64 -1) x)))
(*.f64 (cbrt.f64 -1) (+.f64 (/.f64 -1/2 y) (/.f64 -1/2 x)))
(/.f64 1/2 y)
(+.f64 (.f64 1/2 (/.f64 1 y)) (.f64 1/2 (/.f64 1 x)))
(+.f64 (/.f64 1/2 y) (/.f64 1/2 x))
(+.f64 (.f64 1/2 (/.f64 1 y)) (.f64 1/2 (/.f64 1 x)))
(+.f64 (/.f64 1/2 y) (/.f64 1/2 x))
(+.f64 (.f64 1/2 (/.f64 1 y)) (.f64 1/2 (/.f64 1 x)))
(+.f64 (/.f64 1/2 y) (/.f64 1/2 x))
(/.f64 1/2 x)
(+.f64 (.f64 1/2 (/.f64 1 y)) (.f64 1/2 (/.f64 1 x)))
(+.f64 (/.f64 1/2 y) (/.f64 1/2 x))
(+.f64 (.f64 1/2 (/.f64 1 y)) (.f64 1/2 (/.f64 1 x)))
(+.f64 (/.f64 1/2 y) (/.f64 1/2 x))
(+.f64 (.f64 1/2 (/.f64 1 y)) (.f64 1/2 (/.f64 1 x)))
(+.f64 (/.f64 1/2 y) (/.f64 1/2 x))
(/.f64 1/2 x)
(+.f64 (.f64 1/2 (/.f64 1 y)) (.f64 1/2 (/.f64 1 x)))
(+.f64 (/.f64 1/2 y) (/.f64 1/2 x))
(+.f64 (.f64 1/2 (/.f64 1 y)) (.f64 1/2 (/.f64 1 x)))
(+.f64 (/.f64 1/2 y) (/.f64 1/2 x))
(+.f64 (.f64 1/2 (/.f64 1 y)) (.f64 1/2 (/.f64 1 x)))
(+.f64 (/.f64 1/2 y) (/.f64 1/2 x))
(/.f64 (pow.f64 y 3) (pow.f64 x 3))
(pow.f64 (/.f64 y x) 3)
(+.f64 (/.f64 (pow.f64 y 3) (pow.f64 x 3)) (+.f64 (*.f64 2 (/.f64 (pow.f64 y 2) (pow.f64 x 2))) (/.f64 (pow.f64 y 2) (pow.f64 x 2))))
(+.f64 (/.f64 (pow.f64 y 3) (pow.f64 x 3)) (.f64 3 (/.f64 (.f64 y y) (*.f64 x x))))
(fma.f64 3 (*.f64 (/.f64 y x) (/.f64 y x)) (/.f64 (pow.f64 y 3) (pow.f64 x 3)))
(.f64 (.f64 (/.f64 y x) (/.f64 y x)) (+.f64 (/.f64 y x) 3))
(.f64 (/.f64 y x) (.f64 (/.f64 y x) (+.f64 (/.f64 y x) 3)))
(.f64 (.f64 y (/.f64 y (*.f64 x x))) (+.f64 (/.f64 y x) 3))
(+.f64 (/.f64 y x) (+.f64 (/.f64 (pow.f64 y 3) (pow.f64 x 3)) (+.f64 (.f64 2 (/.f64 (pow.f64 y 2) (pow.f64 x 2))) (+.f64 (.f64 2 (/.f64 y x)) (/.f64 (pow.f64 y 2) (pow.f64 x 2))))))
(+.f64 (/.f64 y x) (+.f64 (/.f64 (pow.f64 y 3) (pow.f64 x 3)) (fma.f64 2 (/.f64 (.f64 y y) (.f64 x x)) (fma.f64 2 (/.f64 y x) (/.f64 (.f64 y y) (.f64 x x))))))
(+.f64 (/.f64 y x) (+.f64 (/.f64 (pow.f64 y 3) (pow.f64 x 3)) (fma.f64 (/.f64 y x) 2 (.f64 3 (.f64 (/.f64 y x) (/.f64 y x))))))
(+.f64 (pow.f64 (/.f64 y x) 3) (.f64 3 (.f64 (+.f64 (/.f64 y x) 1) (/.f64 y x))))
(+.f64 (pow.f64 (/.f64 y x) 3) (.f64 (/.f64 y x) (+.f64 (.f64 (/.f64 y x) 3) 3)))
(+.f64 (pow.f64 (/.f64 y x) 3) (.f64 (/.f64 y x) (+.f64 3 (.f64 y (/.f64 3 x)))))
(+.f64 1 (+.f64 (/.f64 y x) (+.f64 (/.f64 (pow.f64 y 3) (pow.f64 x 3)) (+.f64 (.f64 2 (/.f64 (pow.f64 y 2) (pow.f64 x 2))) (+.f64 (.f64 2 (/.f64 y x)) (/.f64 (pow.f64 y 2) (pow.f64 x 2)))))))
(+.f64 1 (+.f64 (/.f64 y x) (+.f64 (/.f64 (pow.f64 y 3) (pow.f64 x 3)) (fma.f64 2 (/.f64 (.f64 y y) (.f64 x x)) (fma.f64 2 (/.f64 y x) (/.f64 (.f64 y y) (.f64 x x)))))))
(+.f64 (/.f64 y x) (+.f64 (fma.f64 (/.f64 y x) 2 1) (fma.f64 3 (*.f64 (/.f64 y x) (/.f64 y x)) (/.f64 (pow.f64 y 3) (pow.f64 x 3)))))
(+.f64 (pow.f64 (/.f64 y x) 3) (+.f64 1 (.f64 3 (.f64 (+.f64 (/.f64 y x) 1) (/.f64 y x)))))
(+.f64 (pow.f64 (/.f64 y x) 3) (+.f64 1 (.f64 (/.f64 y x) (+.f64 (.f64 (/.f64 y x) 3) 3))))
(+.f64 (pow.f64 (/.f64 y x) 3) (+.f64 1 (.f64 (/.f64 y x) (+.f64 3 (.f64 y (/.f64 3 x))))))
1
(+.f64 (/.f64 y x) (+.f64 1 (*.f64 2 (/.f64 y x))))
(+.f64 (+.f64 (/.f64 y x) 1) (*.f64 (/.f64 y x) 2))
(+.f64 (/.f64 y x) (fma.f64 (/.f64 y x) 2 1))
(fma.f64 (/.f64 y x) 3 1)
(+.f64 (/.f64 y x) (+.f64 1 (+.f64 (.f64 2 (/.f64 y x)) (+.f64 (.f64 2 (/.f64 (pow.f64 y 2) (pow.f64 x 2))) (/.f64 (pow.f64 y 2) (pow.f64 x 2))))))
(+.f64 (/.f64 y x) (+.f64 1 (fma.f64 2 (/.f64 y x) (.f64 3 (/.f64 (.f64 y y) (*.f64 x x))))))
(+.f64 (/.f64 y x) (+.f64 (.f64 3 (.f64 (/.f64 y x) (/.f64 y x))) (fma.f64 (/.f64 y x) 2 1)))
(+.f64 1 (.f64 3 (.f64 (+.f64 (/.f64 y x) 1) (/.f64 y x))))
(+.f64 1 (.f64 (/.f64 y x) (+.f64 (.f64 (/.f64 y x) 3) 3)))
(+.f64 1 (.f64 (/.f64 y x) (+.f64 3 (.f64 y (/.f64 3 x)))))
(+.f64 (/.f64 y x) (+.f64 (/.f64 (pow.f64 y 3) (pow.f64 x 3)) (+.f64 1 (+.f64 (.f64 2 (/.f64 y x)) (+.f64 (.f64 2 (/.f64 (pow.f64 y 2) (pow.f64 x 2))) (/.f64 (pow.f64 y 2) (pow.f64 x 2)))))))
(+.f64 1 (+.f64 (/.f64 y x) (+.f64 (/.f64 (pow.f64 y 3) (pow.f64 x 3)) (fma.f64 2 (/.f64 (.f64 y y) (.f64 x x)) (fma.f64 2 (/.f64 y x) (/.f64 (.f64 y y) (.f64 x x)))))))
(+.f64 (/.f64 y x) (+.f64 (fma.f64 (/.f64 y x) 2 1) (fma.f64 3 (*.f64 (/.f64 y x) (/.f64 y x)) (/.f64 (pow.f64 y 3) (pow.f64 x 3)))))
(+.f64 (pow.f64 (/.f64 y x) 3) (+.f64 1 (.f64 3 (.f64 (+.f64 (/.f64 y x) 1) (/.f64 y x)))))
(+.f64 (pow.f64 (/.f64 y x) 3) (+.f64 1 (.f64 (/.f64 y x) (+.f64 (.f64 (/.f64 y x) 3) 3))))
(+.f64 (pow.f64 (/.f64 y x) 3) (+.f64 1 (.f64 (/.f64 y x) (+.f64 3 (.f64 y (/.f64 3 x))))))
1
(+.f64 1 (.f64 -1 (/.f64 (+.f64 (.f64 -2 y) (*.f64 -1 y)) x)))
(+.f64 (+.f64 (/.f64 y x) 1) (*.f64 (/.f64 y x) 2))
(+.f64 (/.f64 y x) (fma.f64 (/.f64 y x) 2 1))
(fma.f64 (/.f64 y x) 3 1)
(+.f64 1 (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 -2 y) (.f64 -1 y)) x)) (+.f64 (.f64 2 (/.f64 (pow.f64 y 2) (pow.f64 x 2))) (/.f64 (pow.f64 y 2) (pow.f64 x 2)))))
(+.f64 (/.f64 y x) (+.f64 1 (fma.f64 2 (/.f64 y x) (.f64 3 (/.f64 (.f64 y y) (*.f64 x x))))))
(+.f64 (/.f64 y x) (+.f64 (.f64 3 (.f64 (/.f64 y x) (/.f64 y x))) (fma.f64 (/.f64 y x) 2 1)))
(+.f64 1 (.f64 3 (.f64 (+.f64 (/.f64 y x) 1) (/.f64 y x))))
(+.f64 1 (.f64 (/.f64 y x) (+.f64 (.f64 (/.f64 y x) 3) 3)))
(+.f64 1 (.f64 (/.f64 y x) (+.f64 3 (.f64 y (/.f64 3 x)))))
(+.f64 (/.f64 (pow.f64 y 3) (pow.f64 x 3)) (+.f64 1 (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 -2 y) (.f64 -1 y)) x)) (+.f64 (.f64 2 (/.f64 (pow.f64 y 2) (pow.f64 x 2))) (/.f64 (pow.f64 y 2) (pow.f64 x 2))))))
(+.f64 1 (+.f64 (/.f64 y x) (+.f64 (/.f64 (pow.f64 y 3) (pow.f64 x 3)) (fma.f64 2 (/.f64 (.f64 y y) (.f64 x x)) (fma.f64 2 (/.f64 y x) (/.f64 (.f64 y y) (.f64 x x)))))))
(+.f64 (/.f64 y x) (+.f64 (fma.f64 (/.f64 y x) 2 1) (fma.f64 3 (*.f64 (/.f64 y x) (/.f64 y x)) (/.f64 (pow.f64 y 3) (pow.f64 x 3)))))
(+.f64 (pow.f64 (/.f64 y x) 3) (+.f64 1 (.f64 3 (.f64 (+.f64 (/.f64 y x) 1) (/.f64 y x)))))
(+.f64 (pow.f64 (/.f64 y x) 3) (+.f64 1 (.f64 (/.f64 y x) (+.f64 (.f64 (/.f64 y x) 3) 3))))
(+.f64 (pow.f64 (/.f64 y x) 3) (+.f64 1 (.f64 (/.f64 y x) (+.f64 3 (.f64 y (/.f64 3 x))))))
1
(+.f64 (*.f64 3 (/.f64 y x)) 1)
(+.f64 (+.f64 (/.f64 y x) 1) (*.f64 (/.f64 y x) 2))
(+.f64 (/.f64 y x) (fma.f64 (/.f64 y x) 2 1))
(fma.f64 (/.f64 y x) 3 1)
(+.f64 (.f64 3 (/.f64 y x)) (+.f64 1 (.f64 3 (/.f64 (pow.f64 y 2) (pow.f64 x 2)))))
(+.f64 (/.f64 y x) (+.f64 1 (fma.f64 2 (/.f64 y x) (.f64 3 (/.f64 (.f64 y y) (*.f64 x x))))))
(+.f64 (/.f64 y x) (+.f64 (.f64 3 (.f64 (/.f64 y x) (/.f64 y x))) (fma.f64 (/.f64 y x) 2 1)))
(+.f64 1 (.f64 3 (.f64 (+.f64 (/.f64 y x) 1) (/.f64 y x))))
(+.f64 1 (.f64 (/.f64 y x) (+.f64 (.f64 (/.f64 y x) 3) 3)))
(+.f64 1 (.f64 (/.f64 y x) (+.f64 3 (.f64 y (/.f64 3 x)))))
(+.f64 (.f64 3 (/.f64 y x)) (+.f64 (/.f64 (pow.f64 y 3) (pow.f64 x 3)) (+.f64 1 (.f64 3 (/.f64 (pow.f64 y 2) (pow.f64 x 2))))))
(+.f64 1 (+.f64 (/.f64 y x) (+.f64 (/.f64 (pow.f64 y 3) (pow.f64 x 3)) (fma.f64 2 (/.f64 (.f64 y y) (.f64 x x)) (fma.f64 2 (/.f64 y x) (/.f64 (.f64 y y) (.f64 x x)))))))
(+.f64 (/.f64 y x) (+.f64 (fma.f64 (/.f64 y x) 2 1) (fma.f64 3 (*.f64 (/.f64 y x) (/.f64 y x)) (/.f64 (pow.f64 y 3) (pow.f64 x 3)))))
(+.f64 (pow.f64 (/.f64 y x) 3) (+.f64 1 (.f64 3 (.f64 (+.f64 (/.f64 y x) 1) (/.f64 y x)))))
(+.f64 (pow.f64 (/.f64 y x) 3) (+.f64 1 (.f64 (/.f64 y x) (+.f64 (.f64 (/.f64 y x) 3) 3))))
(+.f64 (pow.f64 (/.f64 y x) 3) (+.f64 1 (.f64 (/.f64 y x) (+.f64 3 (.f64 y (/.f64 3 x))))))
(/.f64 (pow.f64 y 3) (pow.f64 x 3))
(pow.f64 (/.f64 y x) 3)
(+.f64 (/.f64 (pow.f64 y 3) (pow.f64 x 3)) (*.f64 3 (/.f64 (pow.f64 y 2) (pow.f64 x 2))))
(+.f64 (/.f64 (pow.f64 y 3) (pow.f64 x 3)) (.f64 3 (/.f64 (.f64 y y) (*.f64 x x))))
(fma.f64 3 (*.f64 (/.f64 y x) (/.f64 y x)) (/.f64 (pow.f64 y 3) (pow.f64 x 3)))
(.f64 (.f64 (/.f64 y x) (/.f64 y x)) (+.f64 (/.f64 y x) 3))
(.f64 (/.f64 y x) (.f64 (/.f64 y x) (+.f64 (/.f64 y x) 3)))
(.f64 (.f64 y (/.f64 y (*.f64 x x))) (+.f64 (/.f64 y x) 3))
(+.f64 (.f64 3 (/.f64 y x)) (+.f64 (/.f64 (pow.f64 y 3) (pow.f64 x 3)) (.f64 3 (/.f64 (pow.f64 y 2) (pow.f64 x 2)))))
(+.f64 (/.f64 y x) (+.f64 (/.f64 (pow.f64 y 3) (pow.f64 x 3)) (fma.f64 2 (/.f64 (.f64 y y) (.f64 x x)) (fma.f64 2 (/.f64 y x) (/.f64 (.f64 y y) (.f64 x x))))))
(+.f64 (/.f64 y x) (+.f64 (/.f64 (pow.f64 y 3) (pow.f64 x 3)) (fma.f64 (/.f64 y x) 2 (.f64 3 (.f64 (/.f64 y x) (/.f64 y x))))))
(+.f64 (pow.f64 (/.f64 y x) 3) (.f64 3 (.f64 (+.f64 (/.f64 y x) 1) (/.f64 y x))))
(+.f64 (pow.f64 (/.f64 y x) 3) (.f64 (/.f64 y x) (+.f64 (.f64 (/.f64 y x) 3) 3)))
(+.f64 (pow.f64 (/.f64 y x) 3) (.f64 (/.f64 y x) (+.f64 3 (.f64 y (/.f64 3 x)))))
(+.f64 1 (+.f64 (.f64 3 (/.f64 y x)) (+.f64 (/.f64 (pow.f64 y 3) (pow.f64 x 3)) (.f64 3 (/.f64 (pow.f64 y 2) (pow.f64 x 2))))))
(+.f64 1 (+.f64 (/.f64 y x) (+.f64 (/.f64 (pow.f64 y 3) (pow.f64 x 3)) (fma.f64 2 (/.f64 (.f64 y y) (.f64 x x)) (fma.f64 2 (/.f64 y x) (/.f64 (.f64 y y) (.f64 x x)))))))
(+.f64 (/.f64 y x) (+.f64 (fma.f64 (/.f64 y x) 2 1) (fma.f64 3 (*.f64 (/.f64 y x) (/.f64 y x)) (/.f64 (pow.f64 y 3) (pow.f64 x 3)))))
(+.f64 (pow.f64 (/.f64 y x) 3) (+.f64 1 (.f64 3 (.f64 (+.f64 (/.f64 y x) 1) (/.f64 y x)))))
(+.f64 (pow.f64 (/.f64 y x) 3) (+.f64 1 (.f64 (/.f64 y x) (+.f64 (.f64 (/.f64 y x) 3) 3))))
(+.f64 (pow.f64 (/.f64 y x) 3) (+.f64 1 (.f64 (/.f64 y x) (+.f64 3 (.f64 y (/.f64 3 x))))))
(/.f64 (pow.f64 y 3) (pow.f64 x 3))
(pow.f64 (/.f64 y x) 3)
(+.f64 (/.f64 (pow.f64 y 3) (pow.f64 x 3)) (*.f64 3 (/.f64 (pow.f64 y 2) (pow.f64 x 2))))
(+.f64 (/.f64 (pow.f64 y 3) (pow.f64 x 3)) (.f64 3 (/.f64 (.f64 y y) (*.f64 x x))))
(fma.f64 3 (*.f64 (/.f64 y x) (/.f64 y x)) (/.f64 (pow.f64 y 3) (pow.f64 x 3)))
(.f64 (.f64 (/.f64 y x) (/.f64 y x)) (+.f64 (/.f64 y x) 3))
(.f64 (/.f64 y x) (.f64 (/.f64 y x) (+.f64 (/.f64 y x) 3)))
(.f64 (.f64 y (/.f64 y (*.f64 x x))) (+.f64 (/.f64 y x) 3))
(+.f64 (.f64 3 (/.f64 y x)) (+.f64 (/.f64 (pow.f64 y 3) (pow.f64 x 3)) (.f64 3 (/.f64 (pow.f64 y 2) (pow.f64 x 2)))))
(+.f64 (/.f64 y x) (+.f64 (/.f64 (pow.f64 y 3) (pow.f64 x 3)) (fma.f64 2 (/.f64 (.f64 y y) (.f64 x x)) (fma.f64 2 (/.f64 y x) (/.f64 (.f64 y y) (.f64 x x))))))
(+.f64 (/.f64 y x) (+.f64 (/.f64 (pow.f64 y 3) (pow.f64 x 3)) (fma.f64 (/.f64 y x) 2 (.f64 3 (.f64 (/.f64 y x) (/.f64 y x))))))
(+.f64 (pow.f64 (/.f64 y x) 3) (.f64 3 (.f64 (+.f64 (/.f64 y x) 1) (/.f64 y x))))
(+.f64 (pow.f64 (/.f64 y x) 3) (.f64 (/.f64 y x) (+.f64 (.f64 (/.f64 y x) 3) 3)))
(+.f64 (pow.f64 (/.f64 y x) 3) (.f64 (/.f64 y x) (+.f64 3 (.f64 y (/.f64 3 x)))))
(+.f64 1 (+.f64 (.f64 3 (/.f64 y x)) (+.f64 (/.f64 (pow.f64 y 3) (pow.f64 x 3)) (.f64 3 (/.f64 (pow.f64 y 2) (pow.f64 x 2))))))
(+.f64 1 (+.f64 (/.f64 y x) (+.f64 (/.f64 (pow.f64 y 3) (pow.f64 x 3)) (fma.f64 2 (/.f64 (.f64 y y) (.f64 x x)) (fma.f64 2 (/.f64 y x) (/.f64 (.f64 y y) (.f64 x x)))))))
(+.f64 (/.f64 y x) (+.f64 (fma.f64 (/.f64 y x) 2 1) (fma.f64 3 (*.f64 (/.f64 y x) (/.f64 y x)) (/.f64 (pow.f64 y 3) (pow.f64 x 3)))))
(+.f64 (pow.f64 (/.f64 y x) 3) (+.f64 1 (.f64 3 (.f64 (+.f64 (/.f64 y x) 1) (/.f64 y x)))))
(+.f64 (pow.f64 (/.f64 y x) 3) (+.f64 1 (.f64 (/.f64 y x) (+.f64 (.f64 (/.f64 y x) 3) 3))))
(+.f64 (pow.f64 (/.f64 y x) 3) (+.f64 1 (.f64 (/.f64 y x) (+.f64 3 (.f64 y (/.f64 3 x))))))

localize31.0ms (0.8%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.0b	(/.f64 (+.f64 x y) x)
✓	0.3b	(pow.f64 (cbrt.f64 (/.f64 (+.f64 x y) x)) 3)
✓	8.4b	(/.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 x y) x)) 3) (*.f64 y 2))
✓	8.5b	(cbrt.f64 (/.f64 (+.f64 x y) x))

Compiler

Compiled 43 to 16 computations (62.8% saved)

series38.0ms (1%)

Counts

3 → 48

Calls

18 calls:

Time	Variable		Point	Expression
10.0ms	y	@	0	(pow.f64 (cbrt.f64 (/.f64 (+.f64 x y) x)) 3)
5.0ms	x	@	-inf	(pow.f64 (cbrt.f64 (/.f64 (+.f64 x y) x)) 3)
3.0ms	x	@	-inf	(cbrt.f64 (/.f64 (+.f64 x y) x))
2.0ms	x	@	-inf	(/.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 x y) x)) 3) (*.f64 y 2))
2.0ms	x	@	inf	(pow.f64 (cbrt.f64 (/.f64 (+.f64 x y) x)) 3)

rewrite107.0ms (2.8%)

Algorithm

1×	batch-egg-rewrite

Rules

613×	`log-prod_binary64`
518×	`prod-diff_binary64`
290×	`pow2_binary64`
200×	`pow1/3_binary64`
199×	`expm1-udef_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	29
1	252	29
2	3361	29

Stop Event

1×	node limit

Counts

3 → 145

Calls

Call 1

Inputs
(cbrt.f64 (/.f64 (+.f64 x y) x))
(/.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 x y) x)) 3) (*.f64 y 2))
(pow.f64 (cbrt.f64 (/.f64 (+.f64 x y) x)) 3)

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (cbrt.f64 (/.f64 (+.f64 x y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (cbrt.f64 (/.f64 (+.f64 x y) x)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (cbrt.f64 (/.f64 (+.f64 x y) x))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (cbrt.f64 (/.f64 (+.f64 x y) x))))) (log.f64 (sqrt.f64 (exp.f64 (cbrt.f64 (/.f64 (+.f64 x y) x))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (cbrt.f64 (/.f64 (+.f64 x y) x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (+.f64 x y) x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (cbrt.f64 (/.f64 (+.f64 x y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 (/.f64 (+.f64 x y) x))) (pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 (+.f64 x y) x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 (+.f64 x y) x))) 2) (cbrt.f64 (cbrt.f64 (/.f64 (+.f64 x y) x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 x y)) (cbrt.f64 (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 x y)) (/.f64 1 (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 (+.f64 x y) x) 1/6) (pow.f64 (/.f64 (+.f64 x y) x) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/3) (cbrt.f64 (/.f64 (+.f64 x y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (cbrt.f64 (/.f64 x (+.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (cbrt.f64 x) (cbrt.f64 (+.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cbrt.f64 (+.f64 x y)) (cbrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cbrt.f64 (neg.f64 (+.f64 x y))) (cbrt.f64 (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (cbrt.f64 (+.f64 x y))) (neg.f64 (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (+.f64 x y) x) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (+.f64 x y) x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 x y) x)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 (+.f64 x y) x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (+.f64 x y) x) 1/6) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 x (+.f64 x y))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (cbrt.f64 x) (cbrt.f64 (+.f64 x y))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 x y) x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (cbrt.f64 (/.f64 (+.f64 x y) x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 (/.f64 (+.f64 x y) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (cbrt.f64 (/.f64 (+.f64 x y) x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (cbrt.f64 (/.f64 (+.f64 x y) x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (cbrt.f64 (/.f64 (+.f64 x y) x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 (+.f64 x y) x)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (/.f64 (+.f64 x y) x))) 1))))))

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(#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 x y) x)) 2) (pow.f64 (/.f64 (+.f64 x y) x) 1/6)) (pow.f64 (/.f64 (+.f64 x y) x) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 x y) x)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 x (+.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (/.f64 x (+.f64 x y)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (cbrt.f64 (+.f64 x y)) 2) (/.f64 x (cbrt.f64 (+.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (+.f64 x y)) (/.f64 x (sqrt.f64 (+.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 x y)) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 x 3) (pow.f64 y 3)) (*.f64 x (fma.f64 x x (*.f64 y (-.f64 y x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 x x) (*.f64 y y)) (*.f64 x (-.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -1 (neg.f64 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(pow.f64 (cbrt.f64 (/.f64 (+.f64 x y) x)) 2)) (cbrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 x y) x)) 2) (cbrt.f64 (+.f64 x y))) (cbrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (+.f64 x y) (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (+.f64 x y) x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (+.f64 x y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (+.f64 x y) x))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (+.f64 x y) x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (+.f64 x y) 3) (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (+.f64 x y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (+.f64 x y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (+.f64 x y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 (+.f64 x y) x)) 1))))))

simplify110.0ms (2.9%)

Algorithm

1×	egg-herbie

Rules

808×	`times-frac_binary64`
730×	`associate-+l+_binary64`
488×	`associate-/l*_binary64`
372×	`associate-/r*_binary64`
354×	`*-commutative_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	164	1073
1	552	941
2	2233	850
3	7675	850

Stop Event

1×	node limit

Counts

193 → 179

Calls

Call 1

Inputs
1
(+.f64 (*.f64 1/3 (/.f64 y x)) 1)
(+.f64 (.f64 1/3 (/.f64 y x)) (+.f64 1 (.f64 -1/9 (/.f64 (pow.f64 y 2) (pow.f64 x 2)))))
(+.f64 (.f64 1/3 (/.f64 y x)) (+.f64 1 (+.f64 (.f64 -1/3 (/.f64 (+.f64 (.f64 1/27 (pow.f64 y 3)) (.f64 -2/9 (pow.f64 y 3))) (pow.f64 x 3))) (*.f64 -1/9 (/.f64 (pow.f64 y 2) (pow.f64 x 2))))))
(pow.f64 (cbrt.f64 -1) 2)
(+.f64 (.f64 -1/3 (.f64 (pow.f64 (*.f64 1 (cbrt.f64 -1)) 1/3) (/.f64 y x))) (pow.f64 (cbrt.f64 -1) 2))
(+.f64 (.f64 -1/9 (.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 4)) 1/3) (/.f64 (pow.f64 y 2) (pow.f64 x 2)))) (+.f64 (.f64 -1/3 (.f64 (pow.f64 (*.f64 1 (cbrt.f64 -1)) 1/3) (/.f64 y x))) (pow.f64 (cbrt.f64 -1) 2)))
(+.f64 (.f64 -1/9 (.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 4)) 1/3) (/.f64 (pow.f64 y 2) (pow.f64 x 2)))) (+.f64 (.f64 -1/3 (.f64 (pow.f64 (.f64 1 (cbrt.f64 -1)) 1/3) (/.f64 y x))) (+.f64 (pow.f64 (cbrt.f64 -1) 2) (.f64 1/3 (/.f64 (+.f64 (.f64 -2/9 (.f64 (pow.f64 1 1/3) (/.f64 (pow.f64 y 3) (pow.f64 (cbrt.f64 -1) 2)))) (.f64 1/27 (/.f64 (pow.f64 y 3) (pow.f64 (cbrt.f64 -1) 2)))) (.f64 (cbrt.f64 -1) (pow.f64 x 3)))))))
1
(+.f64 (*.f64 1/3 (/.f64 y x)) 1)
(+.f64 (.f64 1/3 (/.f64 y x)) (+.f64 1 (.f64 -1/9 (/.f64 (pow.f64 y 2) (pow.f64 x 2)))))
(+.f64 (.f64 1/3 (/.f64 y x)) (+.f64 1 (+.f64 (.f64 5/81 (/.f64 (pow.f64 y 3) (pow.f64 x 3))) (*.f64 -1/9 (/.f64 (pow.f64 y 2) (pow.f64 x 2))))))
(/.f64 1/2 x)
(+.f64 (.f64 1/2 (/.f64 1 y)) (.f64 1/2 (/.f64 1 x)))
(+.f64 (.f64 1/2 (/.f64 1 y)) (.f64 1/2 (/.f64 1 x)))
(+.f64 (.f64 1/2 (/.f64 1 y)) (.f64 1/2 (/.f64 1 x)))
(/.f64 1/2 y)
(+.f64 (.f64 1/2 (/.f64 1 y)) (.f64 1/2 (/.f64 1 x)))
(+.f64 (.f64 1/2 (/.f64 1 y)) (.f64 1/2 (/.f64 1 x)))
(+.f64 (.f64 1/2 (/.f64 1 y)) (.f64 1/2 (/.f64 1 x)))
(/.f64 1/2 y)
(+.f64 (.f64 1/2 (/.f64 1 y)) (.f64 1/2 (/.f64 1 x)))
(+.f64 (.f64 1/2 (/.f64 1 y)) (.f64 1/2 (/.f64 1 x)))
(+.f64 (.f64 1/2 (/.f64 1 y)) (.f64 1/2 (/.f64 1 x)))
(/.f64 1/2 y)
(+.f64 (.f64 1/2 (/.f64 1 y)) (.f64 1/2 (/.f64 1 x)))
(+.f64 (.f64 1/2 (/.f64 1 y)) (.f64 1/2 (/.f64 1 x)))
(+.f64 (.f64 1/2 (/.f64 1 y)) (.f64 1/2 (/.f64 1 x)))
(/.f64 1/2 x)
(+.f64 (.f64 1/2 (/.f64 1 y)) (.f64 1/2 (/.f64 1 x)))
(+.f64 (.f64 1/2 (/.f64 1 y)) (.f64 1/2 (/.f64 1 x)))
(+.f64 (.f64 1/2 (/.f64 1 y)) (.f64 1/2 (/.f64 1 x)))
(/.f64 1/2 x)
(+.f64 (.f64 1/2 (/.f64 1 y)) (.f64 1/2 (/.f64 1 x)))
(+.f64 (.f64 1/2 (/.f64 1 y)) (.f64 1/2 (/.f64 1 x)))
(+.f64 (.f64 1/2 (/.f64 1 y)) (.f64 1/2 (/.f64 1 x)))
1
(+.f64 (.f64 1/3 (/.f64 y x)) (+.f64 1 (.f64 2/3 (/.f64 y x))))
(+.f64 (.f64 1/3 (/.f64 y x)) (+.f64 1 (+.f64 (.f64 -2/9 (/.f64 (pow.f64 y 2) (pow.f64 x 2))) (+.f64 (.f64 2/9 (/.f64 (pow.f64 y 2) (pow.f64 x 2))) (+.f64 (.f64 2/3 (/.f64 y x)) (+.f64 (.f64 -1/9 (/.f64 (pow.f64 y 2) (pow.f64 x 2))) (.f64 1/9 (/.f64 (pow.f64 y 2) (pow.f64 x 2)))))))))
(+.f64 (.f64 -2/3 (/.f64 (+.f64 (.f64 1/27 (pow.f64 y 3)) (.f64 -2/9 (pow.f64 y 3))) (pow.f64 x 3))) (+.f64 (.f64 1/3 (/.f64 (.f64 y (+.f64 (.f64 -2/9 (pow.f64 y 2)) (.f64 1/9 (pow.f64 y 2)))) (pow.f64 x 3))) (+.f64 1 (+.f64 (.f64 -4/27 (/.f64 (pow.f64 y 3) (pow.f64 x 3))) (+.f64 (.f64 -2/9 (/.f64 (pow.f64 y 2) (pow.f64 x 2))) (+.f64 (.f64 2/9 (/.f64 (pow.f64 y 2) (pow.f64 x 2))) (+.f64 (.f64 -1/9 (/.f64 (pow.f64 y 2) (pow.f64 x 2))) (+.f64 (.f64 1/9 (/.f64 (pow.f64 y 2) (pow.f64 x 2))) (+.f64 (.f64 1/3 (/.f64 y x)) (+.f64 (.f64 -1/3 (/.f64 (+.f64 (.f64 1/27 (pow.f64 y 3)) (.f64 -2/9 (pow.f64 y 3))) (pow.f64 x 3))) (*.f64 2/3 (/.f64 y x))))))))))))
(pow.f64 (cbrt.f64 -1) 6)
(+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 2/3 (.f64 (pow.f64 (.f64 1 (pow.f64 (cbrt.f64 -1) 13)) 1/3) y)) (.f64 1/3 (.f64 (pow.f64 (*.f64 1 (pow.f64 (cbrt.f64 -1) 13)) 1/3) y))) x)) (pow.f64 (cbrt.f64 -1) 6))
(+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 2/3 (.f64 (pow.f64 (.f64 1 (pow.f64 (cbrt.f64 -1) 13)) 1/3) y)) (.f64 1/3 (.f64 (pow.f64 (.f64 1 (pow.f64 (cbrt.f64 -1) 13)) 1/3) y))) x)) (+.f64 (.f64 -1/9 (.f64 (pow.f64 (.f64 1 (pow.f64 (cbrt.f64 -1) 8)) 1/3) (/.f64 (pow.f64 y 2) (pow.f64 x 2)))) (+.f64 (pow.f64 (cbrt.f64 -1) 6) (+.f64 (/.f64 (.f64 (pow.f64 (cbrt.f64 -1) 2) (+.f64 (.f64 1/9 (.f64 (pow.f64 (.f64 1 (pow.f64 (cbrt.f64 -1) 2)) 1/3) (pow.f64 y 2))) (.f64 -2/9 (.f64 (pow.f64 (.f64 1 (pow.f64 (cbrt.f64 -1) 2)) 1/3) (pow.f64 y 2))))) (pow.f64 x 2)) (.f64 2/9 (.f64 (pow.f64 (.f64 1 (pow.f64 (cbrt.f64 -1) 8)) 1/3) (/.f64 (pow.f64 y 2) (pow.f64 x 2))))))))
(+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 (pow.f64 (cbrt.f64 -1) 2) (+.f64 (.f64 -2/27 (.f64 (pow.f64 1 1/3) (/.f64 (pow.f64 y 3) (cbrt.f64 -1)))) (.f64 -2/3 (.f64 (cbrt.f64 -1) (+.f64 (.f64 -2/9 (.f64 (pow.f64 1 1/3) (/.f64 (pow.f64 y 3) (pow.f64 (cbrt.f64 -1) 2)))) (.f64 1/27 (/.f64 (pow.f64 y 3) (pow.f64 (cbrt.f64 -1) 2)))))))) (+.f64 (.f64 1/3 (.f64 (pow.f64 (.f64 1 (cbrt.f64 -1)) 1/3) (.f64 y (+.f64 (.f64 1/9 (.f64 (pow.f64 (.f64 1 (pow.f64 (cbrt.f64 -1) 2)) 1/3) (pow.f64 y 2))) (.f64 -2/9 (.f64 (pow.f64 (.f64 1 (pow.f64 (cbrt.f64 -1) 2)) 1/3) (pow.f64 y 2))))))) (+.f64 (.f64 1/3 (+.f64 (.f64 -2/9 (.f64 (pow.f64 1 1/3) (/.f64 (pow.f64 y 3) (pow.f64 (cbrt.f64 -1) 2)))) (.f64 1/27 (/.f64 (pow.f64 y 3) (pow.f64 (cbrt.f64 -1) 2))))) (.f64 -2/27 (.f64 (pow.f64 1 1/3) (.f64 (pow.f64 y 3) (cbrt.f64 -1))))))) (pow.f64 x 3))) (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 2/3 (.f64 (pow.f64 (.f64 1 (pow.f64 (cbrt.f64 -1) 13)) 1/3) y)) (.f64 1/3 (.f64 (pow.f64 (.f64 1 (pow.f64 (cbrt.f64 -1) 13)) 1/3) y))) x)) (+.f64 (.f64 -1/9 (.f64 (pow.f64 (.f64 1 (pow.f64 (cbrt.f64 -1) 8)) 1/3) (/.f64 (pow.f64 y 2) (pow.f64 x 2)))) (+.f64 (pow.f64 (cbrt.f64 -1) 6) (+.f64 (.f64 2/9 (.f64 (pow.f64 (.f64 1 (pow.f64 (cbrt.f64 -1) 8)) 1/3) (/.f64 (pow.f64 y 2) (pow.f64 x 2)))) (/.f64 (.f64 (pow.f64 (cbrt.f64 -1) 2) (+.f64 (.f64 1/9 (.f64 (pow.f64 (.f64 1 (pow.f64 (cbrt.f64 -1) 2)) 1/3) (pow.f64 y 2))) (.f64 -2/9 (.f64 (pow.f64 (.f64 1 (pow.f64 (cbrt.f64 -1) 2)) 1/3) (pow.f64 y 2))))) (pow.f64 x 2)))))))
1
(+.f64 (/.f64 y x) 1)
(+.f64 (/.f64 y x) 1)
(+.f64 (/.f64 y x) 1)

Outputs
1
(+.f64 (*.f64 1/3 (/.f64 y x)) 1)
(fma.f64 1/3 (/.f64 y x) 1)
(+.f64 (.f64 1/3 (/.f64 y x)) (+.f64 1 (.f64 -1/9 (/.f64 (pow.f64 y 2) (pow.f64 x 2)))))
(+.f64 (fma.f64 1/3 (/.f64 y x) 1) (.f64 -1/9 (/.f64 (.f64 y y) (*.f64 x x))))
(fma.f64 1/3 (/.f64 y x) (fma.f64 -1/9 (*.f64 (/.f64 y x) (/.f64 y x)) 1))
(+.f64 (.f64 1/3 (/.f64 y x)) (+.f64 1 (+.f64 (.f64 -1/3 (/.f64 (+.f64 (.f64 1/27 (pow.f64 y 3)) (.f64 -2/9 (pow.f64 y 3))) (pow.f64 x 3))) (*.f64 -1/9 (/.f64 (pow.f64 y 2) (pow.f64 x 2))))))
(+.f64 (fma.f64 1/3 (/.f64 y x) 1) (fma.f64 -1/3 (/.f64 (.f64 (pow.f64 y 3) -5/27) (pow.f64 x 3)) (.f64 -1/9 (/.f64 (.f64 y y) (.f64 x x)))))
(+.f64 (fma.f64 1/3 (/.f64 y x) 1) (fma.f64 -1/3 (/.f64 (pow.f64 y 3) (/.f64 (pow.f64 x 3) -5/27)) (.f64 -1/9 (.f64 (/.f64 y x) (/.f64 y x)))))
(+.f64 (fma.f64 1/3 (/.f64 y x) 1) (fma.f64 -1/3 (.f64 (pow.f64 (/.f64 y x) 3) -5/27) (/.f64 (.f64 y (.f64 y -1/9)) (.f64 x x))))
(pow.f64 (cbrt.f64 -1) 2)
(+.f64 (.f64 -1/3 (.f64 (pow.f64 (*.f64 1 (cbrt.f64 -1)) 1/3) (/.f64 y x))) (pow.f64 (cbrt.f64 -1) 2))
(fma.f64 -1/3 (*.f64 (/.f64 y x) (cbrt.f64 (cbrt.f64 -1))) (pow.f64 (cbrt.f64 -1) 2))
(+.f64 (.f64 -1/9 (.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 4)) 1/3) (/.f64 (pow.f64 y 2) (pow.f64 x 2)))) (+.f64 (.f64 -1/3 (.f64 (pow.f64 (*.f64 1 (cbrt.f64 -1)) 1/3) (/.f64 y x))) (pow.f64 (cbrt.f64 -1) 2)))
(fma.f64 -1/9 (.f64 (/.f64 (.f64 y y) (.f64 x x)) (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 4)))) (fma.f64 -1/3 (.f64 (/.f64 y x) (cbrt.f64 (cbrt.f64 -1))) (pow.f64 (cbrt.f64 -1) 2)))
(fma.f64 -1/9 (.f64 (.f64 (/.f64 y x) (/.f64 y x)) (cbrt.f64 (/.f64 1 (.f64 -1 (cbrt.f64 -1))))) (fma.f64 -1/3 (.f64 (/.f64 y x) (cbrt.f64 (cbrt.f64 -1))) (pow.f64 (cbrt.f64 -1) 2)))
(fma.f64 -1/9 (.f64 (.f64 (/.f64 y x) (/.f64 y x)) (cbrt.f64 (/.f64 -1 (cbrt.f64 -1)))) (fma.f64 -1/3 (*.f64 (/.f64 y x) (cbrt.f64 (cbrt.f64 -1))) (pow.f64 (cbrt.f64 -1) 2)))
(+.f64 (.f64 -1/9 (.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 4)) 1/3) (/.f64 (pow.f64 y 2) (pow.f64 x 2)))) (+.f64 (.f64 -1/3 (.f64 (pow.f64 (.f64 1 (cbrt.f64 -1)) 1/3) (/.f64 y x))) (+.f64 (pow.f64 (cbrt.f64 -1) 2) (.f64 1/3 (/.f64 (+.f64 (.f64 -2/9 (.f64 (pow.f64 1 1/3) (/.f64 (pow.f64 y 3) (pow.f64 (cbrt.f64 -1) 2)))) (.f64 1/27 (/.f64 (pow.f64 y 3) (pow.f64 (cbrt.f64 -1) 2)))) (.f64 (cbrt.f64 -1) (pow.f64 x 3)))))))
(fma.f64 -1/9 (.f64 (/.f64 (.f64 y y) (.f64 x x)) (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 4)))) (+.f64 (fma.f64 -1/3 (.f64 (/.f64 y x) (cbrt.f64 (cbrt.f64 -1))) (pow.f64 (cbrt.f64 -1) 2)) (.f64 1/3 (/.f64 (+.f64 (.f64 -2/9 (/.f64 (pow.f64 y 3) (pow.f64 (cbrt.f64 -1) 2))) (/.f64 (.f64 1/27 (pow.f64 y 3)) (pow.f64 (cbrt.f64 -1) 2))) (.f64 (pow.f64 x 3) (cbrt.f64 -1))))))
(fma.f64 -1/9 (.f64 (.f64 (/.f64 y x) (/.f64 y x)) (cbrt.f64 (/.f64 1 (.f64 -1 (cbrt.f64 -1))))) (fma.f64 -1/3 (.f64 (/.f64 y x) (cbrt.f64 (cbrt.f64 -1))) (fma.f64 1/3 (/.f64 (.f64 (/.f64 (pow.f64 y 3) (pow.f64 (cbrt.f64 -1) 2)) -5/27) (.f64 (pow.f64 x 3) (cbrt.f64 -1))) (pow.f64 (cbrt.f64 -1) 2))))
(+.f64 (fma.f64 -1/9 (.f64 (.f64 (/.f64 y x) (/.f64 y x)) (cbrt.f64 (/.f64 -1 (cbrt.f64 -1)))) (fma.f64 -1/3 (.f64 (/.f64 y x) (cbrt.f64 (cbrt.f64 -1))) (pow.f64 (cbrt.f64 -1) 2))) (/.f64 (.f64 (/.f64 (pow.f64 y 3) (pow.f64 (cbrt.f64 -1) 2)) -5/81) (*.f64 (pow.f64 x 3) (cbrt.f64 -1))))
1
(+.f64 (*.f64 1/3 (/.f64 y x)) 1)
(fma.f64 1/3 (/.f64 y x) 1)
(+.f64 (.f64 1/3 (/.f64 y x)) (+.f64 1 (.f64 -1/9 (/.f64 (pow.f64 y 2) (pow.f64 x 2)))))
(+.f64 (fma.f64 1/3 (/.f64 y x) 1) (.f64 -1/9 (/.f64 (.f64 y y) (*.f64 x x))))
(fma.f64 1/3 (/.f64 y x) (fma.f64 -1/9 (*.f64 (/.f64 y x) (/.f64 y x)) 1))
(+.f64 (.f64 1/3 (/.f64 y x)) (+.f64 1 (+.f64 (.f64 5/81 (/.f64 (pow.f64 y 3) (pow.f64 x 3))) (*.f64 -1/9 (/.f64 (pow.f64 y 2) (pow.f64 x 2))))))
(+.f64 (fma.f64 1/3 (/.f64 y x) 1) (fma.f64 5/81 (/.f64 (pow.f64 y 3) (pow.f64 x 3)) (.f64 -1/9 (/.f64 (.f64 y y) (*.f64 x x)))))
(+.f64 (fma.f64 1/3 (/.f64 y x) 1) (fma.f64 -1/9 (.f64 (/.f64 y x) (/.f64 y x)) (/.f64 (.f64 (pow.f64 y 3) 5/81) (pow.f64 x 3))))
(+.f64 (fma.f64 1/3 (/.f64 y x) 1) (fma.f64 5/81 (pow.f64 (/.f64 y x) 3) (/.f64 (.f64 y (.f64 y -1/9)) (*.f64 x x))))
(/.f64 1/2 x)
(+.f64 (.f64 1/2 (/.f64 1 y)) (.f64 1/2 (/.f64 1 x)))
(+.f64 (/.f64 1/2 y) (/.f64 1/2 x))
(+.f64 (.f64 1/2 (/.f64 1 y)) (.f64 1/2 (/.f64 1 x)))
(+.f64 (/.f64 1/2 y) (/.f64 1/2 x))
(+.f64 (.f64 1/2 (/.f64 1 y)) (.f64 1/2 (/.f64 1 x)))
(+.f64 (/.f64 1/2 y) (/.f64 1/2 x))
(/.f64 1/2 y)
(+.f64 (.f64 1/2 (/.f64 1 y)) (.f64 1/2 (/.f64 1 x)))
(+.f64 (/.f64 1/2 y) (/.f64 1/2 x))
(+.f64 (.f64 1/2 (/.f64 1 y)) (.f64 1/2 (/.f64 1 x)))
(+.f64 (/.f64 1/2 y) (/.f64 1/2 x))
(+.f64 (.f64 1/2 (/.f64 1 y)) (.f64 1/2 (/.f64 1 x)))
(+.f64 (/.f64 1/2 y) (/.f64 1/2 x))
(/.f64 1/2 y)
(+.f64 (.f64 1/2 (/.f64 1 y)) (.f64 1/2 (/.f64 1 x)))
(+.f64 (/.f64 1/2 y) (/.f64 1/2 x))
(+.f64 (.f64 1/2 (/.f64 1 y)) (.f64 1/2 (/.f64 1 x)))
(+.f64 (/.f64 1/2 y) (/.f64 1/2 x))
(+.f64 (.f64 1/2 (/.f64 1 y)) (.f64 1/2 (/.f64 1 x)))
(+.f64 (/.f64 1/2 y) (/.f64 1/2 x))
(/.f64 1/2 y)
(+.f64 (.f64 1/2 (/.f64 1 y)) (.f64 1/2 (/.f64 1 x)))
(+.f64 (/.f64 1/2 y) (/.f64 1/2 x))
(+.f64 (.f64 1/2 (/.f64 1 y)) (.f64 1/2 (/.f64 1 x)))
(+.f64 (/.f64 1/2 y) (/.f64 1/2 x))
(+.f64 (.f64 1/2 (/.f64 1 y)) (.f64 1/2 (/.f64 1 x)))
(+.f64 (/.f64 1/2 y) (/.f64 1/2 x))
(/.f64 1/2 x)
(+.f64 (.f64 1/2 (/.f64 1 y)) (.f64 1/2 (/.f64 1 x)))
(+.f64 (/.f64 1/2 y) (/.f64 1/2 x))
(+.f64 (.f64 1/2 (/.f64 1 y)) (.f64 1/2 (/.f64 1 x)))
(+.f64 (/.f64 1/2 y) (/.f64 1/2 x))
(+.f64 (.f64 1/2 (/.f64 1 y)) (.f64 1/2 (/.f64 1 x)))
(+.f64 (/.f64 1/2 y) (/.f64 1/2 x))
(/.f64 1/2 x)
(+.f64 (.f64 1/2 (/.f64 1 y)) (.f64 1/2 (/.f64 1 x)))
(+.f64 (/.f64 1/2 y) (/.f64 1/2 x))
(+.f64 (.f64 1/2 (/.f64 1 y)) (.f64 1/2 (/.f64 1 x)))
(+.f64 (/.f64 1/2 y) (/.f64 1/2 x))
(+.f64 (.f64 1/2 (/.f64 1 y)) (.f64 1/2 (/.f64 1 x)))
(+.f64 (/.f64 1/2 y) (/.f64 1/2 x))
1
(+.f64 (.f64 1/3 (/.f64 y x)) (+.f64 1 (.f64 2/3 (/.f64 y x))))
(+.f64 (fma.f64 1/3 (/.f64 y x) 1) (*.f64 (/.f64 y x) 2/3))
(fma.f64 1/3 (/.f64 y x) (fma.f64 (/.f64 y x) 2/3 1))
(+.f64 1 (*.f64 (/.f64 y x) 1))
(+.f64 (.f64 1/3 (/.f64 y x)) (+.f64 1 (+.f64 (.f64 -2/9 (/.f64 (pow.f64 y 2) (pow.f64 x 2))) (+.f64 (.f64 2/9 (/.f64 (pow.f64 y 2) (pow.f64 x 2))) (+.f64 (.f64 2/3 (/.f64 y x)) (+.f64 (.f64 -1/9 (/.f64 (pow.f64 y 2) (pow.f64 x 2))) (.f64 1/9 (/.f64 (pow.f64 y 2) (pow.f64 x 2)))))))))
(+.f64 (fma.f64 1/3 (/.f64 y x) 1) (*.f64 (/.f64 y x) 2/3))
(fma.f64 1/3 (/.f64 y x) (fma.f64 (/.f64 y x) 2/3 1))
(+.f64 1 (*.f64 (/.f64 y x) 1))
(+.f64 (.f64 -2/3 (/.f64 (+.f64 (.f64 1/27 (pow.f64 y 3)) (.f64 -2/9 (pow.f64 y 3))) (pow.f64 x 3))) (+.f64 (.f64 1/3 (/.f64 (.f64 y (+.f64 (.f64 -2/9 (pow.f64 y 2)) (.f64 1/9 (pow.f64 y 2)))) (pow.f64 x 3))) (+.f64 1 (+.f64 (.f64 -4/27 (/.f64 (pow.f64 y 3) (pow.f64 x 3))) (+.f64 (.f64 -2/9 (/.f64 (pow.f64 y 2) (pow.f64 x 2))) (+.f64 (.f64 2/9 (/.f64 (pow.f64 y 2) (pow.f64 x 2))) (+.f64 (.f64 -1/9 (/.f64 (pow.f64 y 2) (pow.f64 x 2))) (+.f64 (.f64 1/9 (/.f64 (pow.f64 y 2) (pow.f64 x 2))) (+.f64 (.f64 1/3 (/.f64 y x)) (+.f64 (.f64 -1/3 (/.f64 (+.f64 (.f64 1/27 (pow.f64 y 3)) (.f64 -2/9 (pow.f64 y 3))) (pow.f64 x 3))) (*.f64 2/3 (/.f64 y x))))))))))))
(fma.f64 -2/3 (/.f64 (.f64 (pow.f64 y 3) -5/27) (pow.f64 x 3)) (fma.f64 1/3 (/.f64 y (/.f64 (pow.f64 x 3) (.f64 (.f64 y y) -1/9))) (+.f64 1 (fma.f64 -4/27 (/.f64 (pow.f64 y 3) (pow.f64 x 3)) (fma.f64 -2/9 (/.f64 (.f64 y y) (.f64 x x)) (fma.f64 2/9 (/.f64 (.f64 y y) (.f64 x x)) (+.f64 (.f64 (/.f64 (.f64 y y) (.f64 x x)) 0) (fma.f64 1/3 (/.f64 y x) (fma.f64 -1/3 (/.f64 (.f64 (pow.f64 y 3) -5/27) (pow.f64 x 3)) (.f64 (/.f64 y x) 2/3))))))))))
(fma.f64 (/.f64 (pow.f64 y 3) (/.f64 (pow.f64 x 3) -5/27)) -2/3 (+.f64 (fma.f64 (/.f64 (pow.f64 y 3) (pow.f64 x 3)) -4/27 (+.f64 0 (fma.f64 1/3 (/.f64 y x) (fma.f64 (/.f64 y x) 2/3 (.f64 -1/3 (/.f64 (pow.f64 y 3) (/.f64 (pow.f64 x 3) -5/27))))))) (fma.f64 1/3 (/.f64 (.f64 (pow.f64 y 3) -1/9) (pow.f64 x 3)) 1)))
(fma.f64 (.f64 (pow.f64 (/.f64 y x) 3) -5/27) -2/3 (+.f64 (fma.f64 (pow.f64 (/.f64 y x) 3) -4/27 (+.f64 (.f64 -1/3 (.f64 (pow.f64 (/.f64 y x) 3) -5/27)) (.f64 (/.f64 y x) 1))) (fma.f64 1/3 (*.f64 (pow.f64 (/.f64 y x) 3) -1/9) 1)))
(pow.f64 (cbrt.f64 -1) 6)
1
(+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 2/3 (.f64 (pow.f64 (.f64 1 (pow.f64 (cbrt.f64 -1) 13)) 1/3) y)) (.f64 1/3 (.f64 (pow.f64 (*.f64 1 (pow.f64 (cbrt.f64 -1) 13)) 1/3) y))) x)) (pow.f64 (cbrt.f64 -1) 6))
(fma.f64 -1 (/.f64 (.f64 (.f64 y (cbrt.f64 (pow.f64 (cbrt.f64 -1) 13))) 1) x) (pow.f64 (cbrt.f64 -1) 6))
(-.f64 1 (/.f64 (*.f64 y (cbrt.f64 (pow.f64 (cbrt.f64 -1) 13))) x))
(-.f64 1 (/.f64 (cbrt.f64 (pow.f64 (cbrt.f64 -1) 13)) (/.f64 x y)))
(+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 2/3 (.f64 (pow.f64 (.f64 1 (pow.f64 (cbrt.f64 -1) 13)) 1/3) y)) (.f64 1/3 (.f64 (pow.f64 (.f64 1 (pow.f64 (cbrt.f64 -1) 13)) 1/3) y))) x)) (+.f64 (.f64 -1/9 (.f64 (pow.f64 (.f64 1 (pow.f64 (cbrt.f64 -1) 8)) 1/3) (/.f64 (pow.f64 y 2) (pow.f64 x 2)))) (+.f64 (pow.f64 (cbrt.f64 -1) 6) (+.f64 (/.f64 (.f64 (pow.f64 (cbrt.f64 -1) 2) (+.f64 (.f64 1/9 (.f64 (pow.f64 (.f64 1 (pow.f64 (cbrt.f64 -1) 2)) 1/3) (pow.f64 y 2))) (.f64 -2/9 (.f64 (pow.f64 (.f64 1 (pow.f64 (cbrt.f64 -1) 2)) 1/3) (pow.f64 y 2))))) (pow.f64 x 2)) (.f64 2/9 (.f64 (pow.f64 (.f64 1 (pow.f64 (cbrt.f64 -1) 8)) 1/3) (/.f64 (pow.f64 y 2) (pow.f64 x 2))))))))
(fma.f64 -1 (/.f64 (.f64 (.f64 y (cbrt.f64 (pow.f64 (cbrt.f64 -1) 13))) 1) x) (fma.f64 -1/9 (.f64 (/.f64 (.f64 y y) (.f64 x x)) (cbrt.f64 (pow.f64 (cbrt.f64 -1) 8))) (+.f64 (pow.f64 (cbrt.f64 -1) 6) (fma.f64 2/9 (.f64 (/.f64 (.f64 y y) (.f64 x x)) (cbrt.f64 (pow.f64 (cbrt.f64 -1) 8))) (/.f64 (pow.f64 (cbrt.f64 -1) 2) (/.f64 (.f64 x x) (.f64 (.f64 (.f64 y y) (cbrt.f64 (pow.f64 (cbrt.f64 -1) 2))) -1/9)))))))
(-.f64 (+.f64 (fma.f64 2/9 (.f64 (.f64 (/.f64 y x) (/.f64 y x)) (cbrt.f64 (pow.f64 (cbrt.f64 -1) 8))) (.f64 (/.f64 (pow.f64 (cbrt.f64 -1) 2) (.f64 x x)) (.f64 (.f64 y y) (.f64 (cbrt.f64 (pow.f64 (cbrt.f64 -1) 2)) -1/9)))) (fma.f64 -1/9 (.f64 (.f64 (/.f64 y x) (/.f64 y x)) (cbrt.f64 (pow.f64 (cbrt.f64 -1) 8))) 1)) (/.f64 (.f64 y (cbrt.f64 (pow.f64 (cbrt.f64 -1) 13))) x))
(+.f64 (+.f64 1 (.f64 (.f64 (/.f64 (.f64 y (.f64 y -1/9)) (.f64 x x)) (cbrt.f64 (pow.f64 (cbrt.f64 -1) 2))) (pow.f64 (cbrt.f64 -1) 2))) (-.f64 (.f64 (cbrt.f64 (pow.f64 (cbrt.f64 -1) 2)) (.f64 (/.f64 y x) (/.f64 (.f64 y 1/9) x))) (/.f64 (cbrt.f64 (pow.f64 (cbrt.f64 -1) 13)) (/.f64 x y))))
(+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 (pow.f64 (cbrt.f64 -1) 2) (+.f64 (.f64 -2/27 (.f64 (pow.f64 1 1/3) (/.f64 (pow.f64 y 3) (cbrt.f64 -1)))) (.f64 -2/3 (.f64 (cbrt.f64 -1) (+.f64 (.f64 -2/9 (.f64 (pow.f64 1 1/3) (/.f64 (pow.f64 y 3) (pow.f64 (cbrt.f64 -1) 2)))) (.f64 1/27 (/.f64 (pow.f64 y 3) (pow.f64 (cbrt.f64 -1) 2)))))))) (+.f64 (.f64 1/3 (.f64 (pow.f64 (.f64 1 (cbrt.f64 -1)) 1/3) (.f64 y (+.f64 (.f64 1/9 (.f64 (pow.f64 (.f64 1 (pow.f64 (cbrt.f64 -1) 2)) 1/3) (pow.f64 y 2))) (.f64 -2/9 (.f64 (pow.f64 (.f64 1 (pow.f64 (cbrt.f64 -1) 2)) 1/3) (pow.f64 y 2))))))) (+.f64 (.f64 1/3 (+.f64 (.f64 -2/9 (.f64 (pow.f64 1 1/3) (/.f64 (pow.f64 y 3) (pow.f64 (cbrt.f64 -1) 2)))) (.f64 1/27 (/.f64 (pow.f64 y 3) (pow.f64 (cbrt.f64 -1) 2))))) (.f64 -2/27 (.f64 (pow.f64 1 1/3) (.f64 (pow.f64 y 3) (cbrt.f64 -1))))))) (pow.f64 x 3))) (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 2/3 (.f64 (pow.f64 (.f64 1 (pow.f64 (cbrt.f64 -1) 13)) 1/3) y)) (.f64 1/3 (.f64 (pow.f64 (.f64 1 (pow.f64 (cbrt.f64 -1) 13)) 1/3) y))) x)) (+.f64 (.f64 -1/9 (.f64 (pow.f64 (.f64 1 (pow.f64 (cbrt.f64 -1) 8)) 1/3) (/.f64 (pow.f64 y 2) (pow.f64 x 2)))) (+.f64 (pow.f64 (cbrt.f64 -1) 6) (+.f64 (.f64 2/9 (.f64 (pow.f64 (.f64 1 (pow.f64 (cbrt.f64 -1) 8)) 1/3) (/.f64 (pow.f64 y 2) (pow.f64 x 2)))) (/.f64 (.f64 (pow.f64 (cbrt.f64 -1) 2) (+.f64 (.f64 1/9 (.f64 (pow.f64 (.f64 1 (pow.f64 (cbrt.f64 -1) 2)) 1/3) (pow.f64 y 2))) (.f64 -2/9 (.f64 (pow.f64 (.f64 1 (pow.f64 (cbrt.f64 -1) 2)) 1/3) (pow.f64 y 2))))) (pow.f64 x 2)))))))
(fma.f64 -1 (/.f64 (fma.f64 (pow.f64 (cbrt.f64 -1) 2) (+.f64 (.f64 -2/27 (/.f64 (pow.f64 y 3) (cbrt.f64 -1))) (.f64 (.f64 -2/3 (cbrt.f64 -1)) (+.f64 (.f64 -2/9 (/.f64 (pow.f64 y 3) (pow.f64 (cbrt.f64 -1) 2))) (/.f64 (.f64 1/27 (pow.f64 y 3)) (pow.f64 (cbrt.f64 -1) 2))))) (fma.f64 1/3 (.f64 (cbrt.f64 (cbrt.f64 -1)) (.f64 y (.f64 (.f64 (.f64 y y) (cbrt.f64 (pow.f64 (cbrt.f64 -1) 2))) -1/9))) (fma.f64 1/3 (+.f64 (.f64 -2/9 (/.f64 (pow.f64 y 3) (pow.f64 (cbrt.f64 -1) 2))) (/.f64 (.f64 1/27 (pow.f64 y 3)) (pow.f64 (cbrt.f64 -1) 2))) (.f64 -2/27 (.f64 (pow.f64 y 3) (cbrt.f64 -1)))))) (pow.f64 x 3)) (fma.f64 -1 (/.f64 (.f64 (.f64 y (cbrt.f64 (pow.f64 (cbrt.f64 -1) 13))) 1) x) (fma.f64 -1/9 (.f64 (/.f64 (.f64 y y) (.f64 x x)) (cbrt.f64 (pow.f64 (cbrt.f64 -1) 8))) (+.f64 (pow.f64 (cbrt.f64 -1) 6) (fma.f64 2/9 (.f64 (/.f64 (.f64 y y) (.f64 x x)) (cbrt.f64 (pow.f64 (cbrt.f64 -1) 8))) (/.f64 (pow.f64 (cbrt.f64 -1) 2) (/.f64 (.f64 x x) (.f64 (.f64 (.f64 y y) (cbrt.f64 (pow.f64 (cbrt.f64 -1) 2))) -1/9))))))))
(-.f64 (-.f64 (+.f64 (fma.f64 2/9 (.f64 (.f64 (/.f64 y x) (/.f64 y x)) (cbrt.f64 (pow.f64 (cbrt.f64 -1) 8))) (.f64 (/.f64 (pow.f64 (cbrt.f64 -1) 2) (.f64 x x)) (.f64 (.f64 y y) (.f64 (cbrt.f64 (pow.f64 (cbrt.f64 -1) 2)) -1/9)))) (fma.f64 -1/9 (.f64 (.f64 (/.f64 y x) (/.f64 y x)) (cbrt.f64 (pow.f64 (cbrt.f64 -1) 8))) 1)) (/.f64 (.f64 y (cbrt.f64 (pow.f64 (cbrt.f64 -1) 13))) x)) (/.f64 (fma.f64 (pow.f64 (cbrt.f64 -1) 2) (fma.f64 -2/3 (.f64 (cbrt.f64 -1) (.f64 (/.f64 (pow.f64 y 3) (pow.f64 (cbrt.f64 -1) 2)) -5/27)) (.f64 -2/27 (/.f64 (pow.f64 y 3) (cbrt.f64 -1)))) (fma.f64 (.f64 1/3 (cbrt.f64 (cbrt.f64 -1))) (.f64 y (.f64 (.f64 y y) (.f64 (cbrt.f64 (pow.f64 (cbrt.f64 -1) 2)) -1/9))) (fma.f64 1/3 (.f64 (/.f64 (pow.f64 y 3) (pow.f64 (cbrt.f64 -1) 2)) -5/27) (.f64 (pow.f64 y 3) (*.f64 (cbrt.f64 -1) -2/27))))) (pow.f64 x 3)))
(-.f64 (+.f64 (.f64 (.f64 (/.f64 (.f64 y (.f64 y -1/9)) (.f64 x x)) (cbrt.f64 (pow.f64 (cbrt.f64 -1) 2))) (pow.f64 (cbrt.f64 -1) 2)) (+.f64 1 (.f64 (cbrt.f64 (pow.f64 (cbrt.f64 -1) 2)) (.f64 (/.f64 y x) (/.f64 (.f64 y 1/9) x))))) (+.f64 (/.f64 (cbrt.f64 (pow.f64 (cbrt.f64 -1) 13)) (/.f64 x y)) (/.f64 (fma.f64 (pow.f64 (cbrt.f64 -1) 2) (fma.f64 -2/3 (.f64 (.f64 (cbrt.f64 -1) (/.f64 (pow.f64 y 3) (pow.f64 (cbrt.f64 -1) 2))) -5/27) (.f64 (pow.f64 y 3) (/.f64 -2/27 (cbrt.f64 -1)))) (fma.f64 (.f64 1/3 (cbrt.f64 (cbrt.f64 -1))) (.f64 (pow.f64 y 3) (.f64 -1/9 (cbrt.f64 (pow.f64 (cbrt.f64 -1) 2)))) (fma.f64 -2/27 (.f64 (pow.f64 y 3) (cbrt.f64 -1)) (.f64 (/.f64 (pow.f64 y 3) (pow.f64 (cbrt.f64 -1) 2)) -5/81)))) (pow.f64 x 3))))
1
(+.f64 (/.f64 y x) 1)
(+.f64 1 (/.f64 y x))
(+.f64 (/.f64 y x) 1)
(+.f64 1 (/.f64 y x))
(+.f64 (/.f64 y x) 1)
(+.f64 1 (/.f64 y x))

eval232.0ms (6%)

Compiler: Compiled 9451 to 5028 computations (46.8% saved)

prune74.0ms (1.9%)

Pruning

7 alts after pruning (1 fresh and 6 done)

	Pruned	Kept	Total
New	540	1	541
Fresh	0	0	0
Picked	1	0	1
Done	0	6	6
Total	541	7	548

Error

Counts

548 → 7

Alt Table

Click to see full alt table

Status	Error	Program
✓	31.6b	(/.f64 1/2 x)
✓	8.9b	(/.f64 (/.f64 (+.f64 x y) x) (*.f64 y 2))
▶	9.0b	(/.f64 (+.f64 (.f64 1/3 (/.f64 y x)) (+.f64 1 (.f64 2/3 (/.f64 y x)))) (*.f64 y 2))
✓	13.8b	(/.f64 (+.f64 x y) (.f64 (.f64 x 2) y))
✓	0.0b	(+.f64 (/.f64 1/2 y) (/.f64 1/2 x))
✓	31.4b	(/.f64 1/2 y)
✓	22.4b	(/.f64 (cbrt.f64 (pow.f64 (/.f64 (+.f64 x y) x) 3)) (*.f64 y 2))

Compiler

Compiled 74 to 52 computations (29.7% saved)

localize19.0ms (0.5%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(+.f64 (.f64 1/3 (/.f64 y x)) (+.f64 1 (.f64 2/3 (/.f64 y x))))
✓	0.3b	(*.f64 1/3 (/.f64 y x))
✓	0.3b	(*.f64 2/3 (/.f64 y x))
✓	8.4b	(/.f64 (+.f64 (.f64 1/3 (/.f64 y x)) (+.f64 1 (.f64 2/3 (/.f64 y x)))) (*.f64 y 2))

Compiler

Compiled 61 to 34 computations (44.3% saved)

series14.0ms (0.4%)

Counts

4 → 45

Calls

24 calls:

Time	Variable		Point	Expression
2.0ms	x	@	0	(*.f64 1/3 (/.f64 y x))
1.0ms	x	@	0	(/.f64 (+.f64 (.f64 1/3 (/.f64 y x)) (+.f64 1 (.f64 2/3 (/.f64 y x)))) (*.f64 y 2))
1.0ms	y	@	0	(/.f64 (+.f64 (.f64 1/3 (/.f64 y x)) (+.f64 1 (.f64 2/3 (/.f64 y x)))) (*.f64 y 2))
1.0ms	y	@	inf	(/.f64 (+.f64 (.f64 1/3 (/.f64 y x)) (+.f64 1 (.f64 2/3 (/.f64 y x)))) (*.f64 y 2))
1.0ms	x	@	-inf	(/.f64 (+.f64 (.f64 1/3 (/.f64 y x)) (+.f64 1 (.f64 2/3 (/.f64 y x)))) (*.f64 y 2))

rewrite102.0ms (2.7%)

Algorithm

1×	batch-egg-rewrite

Rules

770×	`log-prod_binary64`
607×	`fma-def_binary64`
296×	`fma-neg_binary64`
274×	`expm1-udef_binary64`
274×	`log1p-udef_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	14	54
1	315	50
2	4462	50

Stop Event

1×	node limit

Counts

4 → 189

Calls

Call 1

Inputs
(/.f64 (+.f64 (.f64 1/3 (/.f64 y x)) (+.f64 1 (.f64 2/3 (/.f64 y x)))) (*.f64 y 2))
(*.f64 2/3 (/.f64 y x))
(*.f64 1/3 (/.f64 y x))
(+.f64 (.f64 1/3 (/.f64 y x)) (+.f64 1 (.f64 2/3 (/.f64 y x))))

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

simplify73.0ms (1.9%)

Algorithm

1×	egg-herbie

Rules

572×	`associate-+r+_binary64`
562×	`associate-+l+_binary64`
379×	`distribute-rgt-out_binary64`
363×	`distribute-rgt-neg-out_binary64`
257×	`distribute-lft-neg-out_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	38	324
1	85	324
2	190	324
3	473	324
4	2729	324

Stop Event

1×	node limit

Counts

234 → 202

Calls

Call 1

Inputs
(/.f64 1/2 y)
(+.f64 (.f64 1/2 (/.f64 1 y)) (.f64 1/2 (/.f64 1 x)))
(+.f64 (.f64 1/2 (/.f64 1 y)) (.f64 1/2 (/.f64 1 x)))
(+.f64 (.f64 1/2 (/.f64 1 y)) (.f64 1/2 (/.f64 1 x)))
(/.f64 1/2 x)
(+.f64 (.f64 1/2 (/.f64 1 y)) (.f64 1/2 (/.f64 1 x)))
(+.f64 (.f64 1/2 (/.f64 1 y)) (.f64 1/2 (/.f64 1 x)))
(+.f64 (.f64 1/2 (/.f64 1 y)) (.f64 1/2 (/.f64 1 x)))
(/.f64 1/2 x)
(+.f64 (.f64 1/2 (/.f64 1 y)) (.f64 1/2 (/.f64 1 x)))
(+.f64 (.f64 1/2 (/.f64 1 y)) (.f64 1/2 (/.f64 1 x)))
(+.f64 (.f64 1/2 (/.f64 1 y)) (.f64 1/2 (/.f64 1 x)))
(.f64 1/2 (/.f64 (+.f64 (.f64 2/3 y) (.f64 1/3 y)) (.f64 y x)))
(+.f64 (.f64 1/2 (/.f64 1 y)) (.f64 1/2 (/.f64 (+.f64 (.f64 2/3 y) (.f64 1/3 y)) (*.f64 y x))))
(+.f64 (.f64 1/2 (/.f64 1 y)) (.f64 1/2 (/.f64 (+.f64 (.f64 2/3 y) (.f64 1/3 y)) (*.f64 y x))))
(+.f64 (.f64 1/2 (/.f64 1 y)) (.f64 1/2 (/.f64 (+.f64 (.f64 2/3 y) (.f64 1/3 y)) (*.f64 y x))))
(/.f64 1/2 y)
(+.f64 (.f64 1/2 (/.f64 1 y)) (.f64 1/2 (/.f64 1 x)))
(+.f64 (.f64 1/2 (/.f64 1 y)) (.f64 1/2 (/.f64 1 x)))
(+.f64 (.f64 1/2 (/.f64 1 y)) (.f64 1/2 (/.f64 1 x)))
(/.f64 1/2 y)
(+.f64 (.f64 1/2 (/.f64 1 y)) (.f64 1/2 (/.f64 1 x)))
(+.f64 (.f64 1/2 (/.f64 1 y)) (.f64 1/2 (/.f64 1 x)))
(+.f64 (.f64 1/2 (/.f64 1 y)) (.f64 1/2 (/.f64 1 x)))
1
(+.f64 (/.f64 y x) 1)
(+.f64 (/.f64 y x) 1)
(+.f64 (/.f64 y x) 1)
(/.f64 y x)
(+.f64 1 (/.f64 y x))
(+.f64 1 (/.f64 y x))
(+.f64 1 (/.f64 y x))
(/.f64 y x)
(+.f64 1 (/.f64 y x))
(+.f64 1 (/.f64 y x))
(+.f64 1 (/.f64 y x))
(/.f64 (+.f64 (.f64 2/3 y) (.f64 1/3 y)) x)
(+.f64 1 (+.f64 (.f64 1/3 (/.f64 y x)) (.f64 2/3 (/.f64 y x))))
(+.f64 1 (+.f64 (.f64 1/3 (/.f64 y x)) (.f64 2/3 (/.f64 y x))))
(+.f64 1 (+.f64 (.f64 1/3 (/.f64 y x)) (.f64 2/3 (/.f64 y x))))
1
1
(+.f64 1 (.f64 -1 (/.f64 (+.f64 (.f64 -1/3 y) (*.f64 -2/3 y)) x)))
(+.f64 1 (.f64 -1 (/.f64 (+.f64 (.f64 -1/3 y) (*.f64 -2/3 y)) x)))
(+.f64 1 (.f64 -1 (/.f64 (+.f64 (.f64 -1/3 y) (*.f64 -2/3 y)) x)))

Outputs
(/.f64 1/2 y)
(+.f64 (.f64 1/2 (/.f64 1 y)) (.f64 1/2 (/.f64 1 x)))
(+.f64 (/.f64 1/2 y) (/.f64 1/2 x))
(+.f64 (.f64 1/2 (/.f64 1 y)) (.f64 1/2 (/.f64 1 x)))
(+.f64 (/.f64 1/2 y) (/.f64 1/2 x))
(+.f64 (.f64 1/2 (/.f64 1 y)) (.f64 1/2 (/.f64 1 x)))
(+.f64 (/.f64 1/2 y) (/.f64 1/2 x))
(/.f64 1/2 x)
(+.f64 (.f64 1/2 (/.f64 1 y)) (.f64 1/2 (/.f64 1 x)))
(+.f64 (/.f64 1/2 y) (/.f64 1/2 x))
(+.f64 (.f64 1/2 (/.f64 1 y)) (.f64 1/2 (/.f64 1 x)))
(+.f64 (/.f64 1/2 y) (/.f64 1/2 x))
(+.f64 (.f64 1/2 (/.f64 1 y)) (.f64 1/2 (/.f64 1 x)))
(+.f64 (/.f64 1/2 y) (/.f64 1/2 x))
(/.f64 1/2 x)
(+.f64 (.f64 1/2 (/.f64 1 y)) (.f64 1/2 (/.f64 1 x)))
(+.f64 (/.f64 1/2 y) (/.f64 1/2 x))
(+.f64 (.f64 1/2 (/.f64 1 y)) (.f64 1/2 (/.f64 1 x)))
(+.f64 (/.f64 1/2 y) (/.f64 1/2 x))
(+.f64 (.f64 1/2 (/.f64 1 y)) (.f64 1/2 (/.f64 1 x)))
(+.f64 (/.f64 1/2 y) (/.f64 1/2 x))
(.f64 1/2 (/.f64 (+.f64 (.f64 2/3 y) (.f64 1/3 y)) (.f64 y x)))
(/.f64 1/2 x)
(+.f64 (.f64 1/2 (/.f64 1 y)) (.f64 1/2 (/.f64 (+.f64 (.f64 2/3 y) (.f64 1/3 y)) (*.f64 y x))))
(+.f64 (/.f64 1/2 y) (/.f64 1/2 x))
(+.f64 (.f64 1/2 (/.f64 1 y)) (.f64 1/2 (/.f64 (+.f64 (.f64 2/3 y) (.f64 1/3 y)) (*.f64 y x))))
(+.f64 (/.f64 1/2 y) (/.f64 1/2 x))
(+.f64 (.f64 1/2 (/.f64 1 y)) (.f64 1/2 (/.f64 (+.f64 (.f64 2/3 y) (.f64 1/3 y)) (*.f64 y x))))
(+.f64 (/.f64 1/2 y) (/.f64 1/2 x))
(/.f64 1/2 y)
(+.f64 (.f64 1/2 (/.f64 1 y)) (.f64 1/2 (/.f64 1 x)))
(+.f64 (/.f64 1/2 y) (/.f64 1/2 x))
(+.f64 (.f64 1/2 (/.f64 1 y)) (.f64 1/2 (/.f64 1 x)))
(+.f64 (/.f64 1/2 y) (/.f64 1/2 x))
(+.f64 (.f64 1/2 (/.f64 1 y)) (.f64 1/2 (/.f64 1 x)))
(+.f64 (/.f64 1/2 y) (/.f64 1/2 x))
(/.f64 1/2 y)
(+.f64 (.f64 1/2 (/.f64 1 y)) (.f64 1/2 (/.f64 1 x)))
(+.f64 (/.f64 1/2 y) (/.f64 1/2 x))
(+.f64 (.f64 1/2 (/.f64 1 y)) (.f64 1/2 (/.f64 1 x)))
(+.f64 (/.f64 1/2 y) (/.f64 1/2 x))
(+.f64 (.f64 1/2 (/.f64 1 y)) (.f64 1/2 (/.f64 1 x)))
(+.f64 (/.f64 1/2 y) (/.f64 1/2 x))
1
(+.f64 (/.f64 y x) 1)
(+.f64 1 (/.f64 y x))
(+.f64 (/.f64 y x) 1)
(+.f64 1 (/.f64 y x))
(+.f64 (/.f64 y x) 1)
(+.f64 1 (/.f64 y x))
(/.f64 y x)
(+.f64 1 (/.f64 y x))
(+.f64 1 (/.f64 y x))
(+.f64 1 (/.f64 y x))
(/.f64 y x)
(+.f64 1 (/.f64 y x))
(+.f64 1 (/.f64 y x))
(+.f64 1 (/.f64 y x))
(/.f64 (+.f64 (.f64 2/3 y) (.f64 1/3 y)) x)
(/.f64 y x)
(+.f64 1 (+.f64 (.f64 1/3 (/.f64 y x)) (.f64 2/3 (/.f64 y x))))
(+.f64 1 (/.f64 y x))
(+.f64 1 (+.f64 (.f64 1/3 (/.f64 y x)) (.f64 2/3 (/.f64 y x))))
(+.f64 1 (/.f64 y x))
(+.f64 1 (+.f64 (.f64 1/3 (/.f64 y x)) (.f64 2/3 (/.f64 y x))))
(+.f64 1 (/.f64 y x))
1
1
(+.f64 1 (.f64 -1 (/.f64 (+.f64 (.f64 -1/3 y) (*.f64 -2/3 y)) x)))
(+.f64 1 (/.f64 y x))
(+.f64 1 (.f64 -1 (/.f64 (+.f64 (.f64 -1/3 y) (*.f64 -2/3 y)) x)))
(+.f64 1 (/.f64 y x))
(+.f64 1 (.f64 -1 (/.f64 (+.f64 (.f64 -1/3 y) (*.f64 -2/3 y)) x)))
(+.f64 1 (/.f64 y x))

eval128.0ms (3.3%)

Compiler: Compiled 4617 to 2848 computations (38.3% saved)

prune73.0ms (1.9%)

Pruning

7 alts after pruning (0 fresh and 7 done)

	Pruned	Kept	Total
New	202	0	202
Fresh	0	0	0
Picked	0	1	1
Done	0	6	6
Total	202	7	209

Error

Counts

209 → 7

Alt Table

Click to see full alt table

Status	Error	Program
✓	31.6b	(/.f64 1/2 x)
✓	8.9b	(/.f64 (/.f64 (+.f64 x y) x) (*.f64 y 2))
✓	9.0b	(/.f64 (+.f64 (.f64 1/3 (/.f64 y x)) (+.f64 1 (.f64 2/3 (/.f64 y x)))) (*.f64 y 2))
✓	13.8b	(/.f64 (+.f64 x y) (.f64 (.f64 x 2) y))
✓	0.0b	(+.f64 (/.f64 1/2 y) (/.f64 1/2 x))
✓	31.4b	(/.f64 1/2 y)
✓	22.4b	(/.f64 (cbrt.f64 (pow.f64 (/.f64 (+.f64 x y) x) 3)) (*.f64 y 2))

Compiler

Compiled 74 to 52 computations (29.7% saved)

regimes87.0ms (2.3%)

Counts

8 → 1

Calls

Call 1

Inputs
(/.f64 1/2 x)
(/.f64 1/2 y)
(+.f64 (/.f64 1/2 y) (/.f64 1/2 x))
(/.f64 (/.f64 (+.f64 x y) x) (*.f64 y 2))
(/.f64 (+.f64 x y) (.f64 (.f64 x 2) y))
(/.f64 (+.f64 (.f64 1/3 (/.f64 y x)) (+.f64 1 (.f64 2/3 (/.f64 y x)))) (*.f64 y 2))
(/.f64 (cbrt.f64 (pow.f64 (/.f64 (+.f64 x y) x) 3)) (*.f64 y 2))
(/.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 x y) x)) 3) (*.f64 y 2))

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

Calls

3 calls:

75.0ms	x
5.0ms	y
5.0ms	(/.f64 (+.f64 x y) (.f64 (.f64 x 2) y))

Results

Error	Segments	Branch
0.0b	1	`x`
0.0b	1	`y`
0.0b	1	`(/.f64 (+.f64 x y) (.f64 (.f64 x 2) y))`

Compiler

Compiled 91 to 54 computations (40.7% saved)

regimes23.0ms (0.6%)

Accuracy

Total -54.1b remaining (-696.4%)

Threshold costs -54.1b (-696.4%)

Counts

2 → 4

Calls

Call 1

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

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

Calls

2 calls:

13.0ms	x
9.0ms	y

Results

Error	Segments	Branch
7.8b	4	`x`
8.2b	2	`y`

Compiler

Compiled 14 to 10 computations (28.6% saved)

bsearch56.0ms (1.4%)

Algorithm

3×	binary-search

Steps

Time	Left	Right
19.0ms	-3.4494020172039525e-68	-4.1111932571896305e-75
19.0ms	-2.3847203550266563e-60	-5.58655856047891e-65
18.0ms	-3.058108682076934e-12	-6.937901280520763e-15

Compiler

Compiled 16 to 11 computations (31.3% saved)

simplify6.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

1×	`+-commutative_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	48
1	18	48

Stop Event

1×	done
1×	saturated

Calls

Call 1

Inputs

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

(if (<=.f64 x -1892877591014641/618970019642690137449562112) (/.f64 1/2 y) (if (<=.f64 x -4314558627426421/1809251394333065553493296640760748560207343510400633813116524750123642650624) (/.f64 1/2 x) (if (<=.f64 x -8376307494503497/242833611528216133864932738352939863330300854881517440156476551217363035650651062272) (/.f64 1/2 y) (/.f64 1/2 x))))

(/.f64 1/2 x)

Outputs

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

(if (<=.f64 x -1892877591014641/618970019642690137449562112) (/.f64 1/2 y) (if (<=.f64 x -4314558627426421/1809251394333065553493296640760748560207343510400633813116524750123642650624) (/.f64 1/2 x) (if (<=.f64 x -8376307494503497/242833611528216133864932738352939863330300854881517440156476551217363035650651062272) (/.f64 1/2 y) (/.f64 1/2 x))))

(/.f64 1/2 x)

Compiler

Compiled 40 to 30 computations (25% saved)

soundness10.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

4×	`fma-def_binary64`
3×	`*-commutative_binary64`
2×	`+-commutative_binary64`
2×	`associate-*r/_binary64`
1×	`distribute-lft-out_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	204
1	21	204
2	28	204

Stop Event

1×

saturated

Compiler

Compiled 57 to 47 computations (17.5% saved)

end32.0ms (0.8%)

Remove: (sort x y)
Compiler: Compiled 54 to 40 computations (25.9% saved)

Details

analyze531.0ms (13.8%)

sample1.1s (29.8%)

preprocess34.0ms (0.9%)

simplify8.0ms (0.2%)

eval1.0ms (0%)

prune1.0ms (0%)

localize9.0ms (0.2%)

series14.0ms (0.4%)

rewrite98.0ms (2.5%)

simplify26.0ms (0.7%)

localize21.0ms (0.5%)

series7.0ms (0.2%)

rewrite101.0ms (2.6%)

simplify27.0ms (0.7%)

eval70.0ms (1.8%)

prune56.0ms (1.5%)

localize17.0ms (0.4%)

series5.0ms (0.1%)

rewrite91.0ms (2.4%)

simplify29.0ms (0.7%)

localize7.0ms (0.2%)

localize7.0ms (0.2%)

localize38.0ms (1%)

series18.0ms (0.5%)

rewrite150.0ms (3.9%)

simplify120.0ms (3.1%)

localize31.0ms (0.8%)

series38.0ms (1%)

rewrite107.0ms (2.8%)

simplify110.0ms (2.9%)

eval232.0ms (6%)

prune74.0ms (1.9%)

localize19.0ms (0.5%)

series14.0ms (0.4%)

rewrite102.0ms (2.7%)

simplify73.0ms (1.9%)

eval128.0ms (3.3%)

prune73.0ms (1.9%)

regimes87.0ms (2.3%)

regimes23.0ms (0.6%)

bsearch56.0ms (1.4%)

simplify6.0ms (0.1%)

soundness10.0ms (0.3%)

end32.0ms (0.8%)

Profiling