Details

analyze77.0ms (2.9%)

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
18.8%	18.7%	81.2%	0.1%	0%	0%	0%	5
46.9%	46.8%	53.1%	0.1%	0%	0%	0%	6
56.3%	56.2%	43.7%	0.1%	0%	0%	0%	7
71.1%	71%	28.9%	0.1%	0%	0%	0%	8
76.6%	76.5%	23.4%	0.1%	0%	0%	0%	9
85%	84.9%	15%	0.1%	0%	0%	0%	10
87.9%	87.8%	12.1%	0.1%	0%	0%	0%	11
92.3%	92.2%	7.7%	0.1%	0%	0%	0%	12

Compiler

Compiled 8 to 5 computations (37.5% saved)

sample1.1s (40.6%)

Results

1.1s

8256×

body

256

valid

Bogosity

preprocess16.0ms (0.6%)

Algorithm

2×	egg-herbie

Rules

1×	`+-commutative_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	14
1	8	14
0	2	2

Stop Event

1×	saturated
1×	saturated

Calls

Call 1

Inputs
0
1

Outputs
0
1

Call 2

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

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

Compiler

Compiled 9 to 6 computations (33.3% saved)

simplify7.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

1×	`+-commutative_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	7
1	6	7

Stop Event

1×

saturated

Counts

1 → 1

Calls

Call 1

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

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

eval0.0ms (0%)

Compiler: Compiled 7 to 4 computations (42.9% saved)

prune1.0ms (0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

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

Error

0.0b

Counts

2 → 1

Alt Table

Click to see full alt table

Status	Error	Program
▶	0.0b	(/.f64 x (+.f64 x y))

Compiler

Compiled 7 to 4 computations (42.9% saved)

localize5.0ms (0.2%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 12 to 4 computations (66.7% saved)

series51.0ms (1.9%)

Counts

1 → 24

Calls

6 calls:

Time	Variable		Point	Expression
47.0ms	x	@	-inf	(/.f64 x (+.f64 x y))
1.0ms	x	@	0	(/.f64 x (+.f64 x y))
1.0ms	x	@	inf	(/.f64 x (+.f64 x y))
1.0ms	y	@	inf	(/.f64 x (+.f64 x y))
1.0ms	y	@	0	(/.f64 x (+.f64 x y))

rewrite55.0ms (2.1%)

Algorithm

1×	batch-egg-rewrite

Rules

718×	`pow1_binary64`
671×	`add-log-exp_binary64`
671×	`log1p-expm1-u_binary64`
671×	`expm1-log1p-u_binary64`
656×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	7
1	115	7
2	1766	7

Stop Event

1×	node limit

Counts

1 → 33

Calls

Call 1

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

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

Outputs

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

simplify69.0ms (2.6%)

Algorithm

1×	egg-herbie

Rules

788×	`fma-def_binary64`
737×	`associate-/l*_binary64`
540×	`associate-/r*_binary64`
522×	`associate-*l/_binary64`
457×	`fma-neg_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	36	471
1	104	438
2	317	387
3	1351	345

Stop Event

1×	node limit

Counts

57 → 47

Calls

Call 1

Inputs
(/.f64 x y)
(+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (/.f64 x y))
(+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (+.f64 (/.f64 x y) (/.f64 (pow.f64 x 3) (pow.f64 y 3))))
(+.f64 (.f64 -1 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (+.f64 (.f64 -1 (/.f64 (pow.f64 x 4) (pow.f64 y 4))) (+.f64 (/.f64 x y) (/.f64 (pow.f64 x 3) (pow.f64 y 3)))))
1
(+.f64 1 (*.f64 -1 (/.f64 y x)))
(+.f64 1 (+.f64 (/.f64 (pow.f64 y 2) (pow.f64 x 2)) (*.f64 -1 (/.f64 y x))))
(+.f64 1 (+.f64 (/.f64 (pow.f64 y 2) (pow.f64 x 2)) (+.f64 (.f64 -1 (/.f64 (pow.f64 y 3) (pow.f64 x 3))) (.f64 -1 (/.f64 y x)))))
1
(+.f64 1 (*.f64 -1 (/.f64 y x)))
(+.f64 1 (+.f64 (/.f64 (pow.f64 y 2) (pow.f64 x 2)) (*.f64 -1 (/.f64 y x))))
(+.f64 1 (+.f64 (/.f64 (pow.f64 y 2) (pow.f64 x 2)) (+.f64 (.f64 -1 (/.f64 (pow.f64 y 3) (pow.f64 x 3))) (.f64 -1 (/.f64 y x)))))
1
(+.f64 1 (*.f64 -1 (/.f64 y x)))
(+.f64 1 (+.f64 (/.f64 (pow.f64 y 2) (pow.f64 x 2)) (*.f64 -1 (/.f64 y x))))
(+.f64 1 (+.f64 (/.f64 (pow.f64 y 2) (pow.f64 x 2)) (+.f64 (.f64 -1 (/.f64 (pow.f64 y 3) (pow.f64 x 3))) (.f64 -1 (/.f64 y x)))))
(/.f64 x y)
(+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (/.f64 x y))
(+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (+.f64 (/.f64 x y) (/.f64 (pow.f64 x 3) (pow.f64 y 3))))
(+.f64 (.f64 -1 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (+.f64 (.f64 -1 (/.f64 (pow.f64 x 4) (pow.f64 y 4))) (+.f64 (/.f64 x y) (/.f64 (pow.f64 x 3) (pow.f64 y 3)))))
(/.f64 x y)
(+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (/.f64 x y))
(+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (+.f64 (/.f64 x y) (/.f64 (pow.f64 x 3) (pow.f64 y 3))))
(+.f64 (.f64 -1 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (+.f64 (.f64 -1 (/.f64 (pow.f64 x 4) (pow.f64 y 4))) (+.f64 (/.f64 x y) (/.f64 (pow.f64 x 3) (pow.f64 y 3)))))

Outputs
(/.f64 x y)
(+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (/.f64 x y))
(fma.f64 -1 (/.f64 (.f64 x x) (.f64 y y)) (/.f64 x y))
(-.f64 (/.f64 x y) (*.f64 (/.f64 x y) (/.f64 x y)))
(*.f64 (+.f64 (/.f64 (neg.f64 x) y) 1) (/.f64 x y))
(+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (+.f64 (/.f64 x y) (/.f64 (pow.f64 x 3) (pow.f64 y 3))))
(fma.f64 -1 (/.f64 (.f64 x x) (.f64 y y)) (+.f64 (/.f64 x y) (/.f64 (pow.f64 x 3) (pow.f64 y 3))))
(+.f64 (-.f64 (/.f64 x y) (*.f64 (/.f64 x y) (/.f64 x y))) (/.f64 (pow.f64 x 3) (pow.f64 y 3)))
(-.f64 (+.f64 (/.f64 x y) (pow.f64 (/.f64 x y) 3)) (*.f64 (/.f64 x y) (/.f64 x y)))
(fma.f64 (*.f64 (/.f64 x y) (/.f64 x y)) (+.f64 (/.f64 x y) -1) (/.f64 x y))
(+.f64 (.f64 -1 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (+.f64 (.f64 -1 (/.f64 (pow.f64 x 4) (pow.f64 y 4))) (+.f64 (/.f64 x y) (/.f64 (pow.f64 x 3) (pow.f64 y 3)))))
(fma.f64 -1 (/.f64 (.f64 x x) (.f64 y y)) (fma.f64 -1 (/.f64 (pow.f64 x 4) (pow.f64 y 4)) (+.f64 (/.f64 x y) (/.f64 (pow.f64 x 3) (pow.f64 y 3)))))
(-.f64 (-.f64 (+.f64 (/.f64 x y) (/.f64 (pow.f64 x 3) (pow.f64 y 3))) (/.f64 (pow.f64 x 4) (pow.f64 y 4))) (*.f64 (/.f64 x y) (/.f64 x y)))
(-.f64 (+.f64 (/.f64 x y) (pow.f64 (/.f64 x y) 3)) (fma.f64 (/.f64 x y) (/.f64 x y) (/.f64 (pow.f64 x 4) (pow.f64 y 4))))
(.f64 (fma.f64 (/.f64 x y) (/.f64 x y) 1) (.f64 (+.f64 (/.f64 (neg.f64 x) y) 1) (/.f64 x y)))
1
(+.f64 1 (*.f64 -1 (/.f64 y x)))
(+.f64 1 (neg.f64 (/.f64 y x)))
(-.f64 1 (/.f64 y x))
(+.f64 1 (+.f64 (/.f64 (pow.f64 y 2) (pow.f64 x 2)) (*.f64 -1 (/.f64 y x))))
(+.f64 1 (+.f64 (neg.f64 (/.f64 y x)) (/.f64 (.f64 y y) (.f64 x x))))
(+.f64 (-.f64 1 (/.f64 y x)) (*.f64 (/.f64 y x) (/.f64 y x)))
(+.f64 1 (*.f64 (/.f64 y x) (+.f64 (/.f64 y x) -1)))
(fma.f64 (/.f64 y x) (+.f64 -1 (/.f64 y x)) 1)
(+.f64 1 (+.f64 (/.f64 (pow.f64 y 2) (pow.f64 x 2)) (+.f64 (.f64 -1 (/.f64 (pow.f64 y 3) (pow.f64 x 3))) (.f64 -1 (/.f64 y x)))))
(+.f64 1 (+.f64 (/.f64 (.f64 y y) (.f64 x x)) (*.f64 -1 (+.f64 (/.f64 (pow.f64 y 3) (pow.f64 x 3)) (/.f64 y x)))))
(+.f64 (-.f64 (*.f64 (/.f64 y x) (/.f64 y x)) (/.f64 (pow.f64 y 3) (pow.f64 x 3))) (-.f64 1 (/.f64 y x)))
(-.f64 (+.f64 1 (*.f64 (/.f64 y x) (+.f64 (/.f64 y x) -1))) (pow.f64 (/.f64 y x) 3))
(-.f64 (fma.f64 (/.f64 y x) (+.f64 -1 (/.f64 y x)) 1) (pow.f64 (/.f64 y x) 3))
1
(+.f64 1 (*.f64 -1 (/.f64 y x)))
(+.f64 1 (neg.f64 (/.f64 y x)))
(-.f64 1 (/.f64 y x))
(+.f64 1 (+.f64 (/.f64 (pow.f64 y 2) (pow.f64 x 2)) (*.f64 -1 (/.f64 y x))))
(+.f64 1 (+.f64 (neg.f64 (/.f64 y x)) (/.f64 (.f64 y y) (.f64 x x))))
(+.f64 (-.f64 1 (/.f64 y x)) (*.f64 (/.f64 y x) (/.f64 y x)))
(+.f64 1 (*.f64 (/.f64 y x) (+.f64 (/.f64 y x) -1)))
(fma.f64 (/.f64 y x) (+.f64 -1 (/.f64 y x)) 1)
(+.f64 1 (+.f64 (/.f64 (pow.f64 y 2) (pow.f64 x 2)) (+.f64 (.f64 -1 (/.f64 (pow.f64 y 3) (pow.f64 x 3))) (.f64 -1 (/.f64 y x)))))
(+.f64 1 (+.f64 (/.f64 (.f64 y y) (.f64 x x)) (*.f64 -1 (+.f64 (/.f64 (pow.f64 y 3) (pow.f64 x 3)) (/.f64 y x)))))
(+.f64 (-.f64 (*.f64 (/.f64 y x) (/.f64 y x)) (/.f64 (pow.f64 y 3) (pow.f64 x 3))) (-.f64 1 (/.f64 y x)))
(-.f64 (+.f64 1 (*.f64 (/.f64 y x) (+.f64 (/.f64 y x) -1))) (pow.f64 (/.f64 y x) 3))
(-.f64 (fma.f64 (/.f64 y x) (+.f64 -1 (/.f64 y x)) 1) (pow.f64 (/.f64 y x) 3))
1
(+.f64 1 (*.f64 -1 (/.f64 y x)))
(+.f64 1 (neg.f64 (/.f64 y x)))
(-.f64 1 (/.f64 y x))
(+.f64 1 (+.f64 (/.f64 (pow.f64 y 2) (pow.f64 x 2)) (*.f64 -1 (/.f64 y x))))
(+.f64 1 (+.f64 (neg.f64 (/.f64 y x)) (/.f64 (.f64 y y) (.f64 x x))))
(+.f64 (-.f64 1 (/.f64 y x)) (*.f64 (/.f64 y x) (/.f64 y x)))
(+.f64 1 (*.f64 (/.f64 y x) (+.f64 (/.f64 y x) -1)))
(fma.f64 (/.f64 y x) (+.f64 -1 (/.f64 y x)) 1)
(+.f64 1 (+.f64 (/.f64 (pow.f64 y 2) (pow.f64 x 2)) (+.f64 (.f64 -1 (/.f64 (pow.f64 y 3) (pow.f64 x 3))) (.f64 -1 (/.f64 y x)))))
(+.f64 1 (+.f64 (/.f64 (.f64 y y) (.f64 x x)) (*.f64 -1 (+.f64 (/.f64 (pow.f64 y 3) (pow.f64 x 3)) (/.f64 y x)))))
(+.f64 (-.f64 (*.f64 (/.f64 y x) (/.f64 y x)) (/.f64 (pow.f64 y 3) (pow.f64 x 3))) (-.f64 1 (/.f64 y x)))
(-.f64 (+.f64 1 (*.f64 (/.f64 y x) (+.f64 (/.f64 y x) -1))) (pow.f64 (/.f64 y x) 3))
(-.f64 (fma.f64 (/.f64 y x) (+.f64 -1 (/.f64 y x)) 1) (pow.f64 (/.f64 y x) 3))
(/.f64 x y)
(+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (/.f64 x y))
(fma.f64 -1 (/.f64 (.f64 x x) (.f64 y y)) (/.f64 x y))
(-.f64 (/.f64 x y) (*.f64 (/.f64 x y) (/.f64 x y)))
(*.f64 (+.f64 (/.f64 (neg.f64 x) y) 1) (/.f64 x y))
(+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (+.f64 (/.f64 x y) (/.f64 (pow.f64 x 3) (pow.f64 y 3))))
(fma.f64 -1 (/.f64 (.f64 x x) (.f64 y y)) (+.f64 (/.f64 x y) (/.f64 (pow.f64 x 3) (pow.f64 y 3))))
(+.f64 (-.f64 (/.f64 x y) (*.f64 (/.f64 x y) (/.f64 x y))) (/.f64 (pow.f64 x 3) (pow.f64 y 3)))
(-.f64 (+.f64 (/.f64 x y) (pow.f64 (/.f64 x y) 3)) (*.f64 (/.f64 x y) (/.f64 x y)))
(fma.f64 (*.f64 (/.f64 x y) (/.f64 x y)) (+.f64 (/.f64 x y) -1) (/.f64 x y))
(+.f64 (.f64 -1 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (+.f64 (.f64 -1 (/.f64 (pow.f64 x 4) (pow.f64 y 4))) (+.f64 (/.f64 x y) (/.f64 (pow.f64 x 3) (pow.f64 y 3)))))
(fma.f64 -1 (/.f64 (.f64 x x) (.f64 y y)) (fma.f64 -1 (/.f64 (pow.f64 x 4) (pow.f64 y 4)) (+.f64 (/.f64 x y) (/.f64 (pow.f64 x 3) (pow.f64 y 3)))))
(-.f64 (-.f64 (+.f64 (/.f64 x y) (/.f64 (pow.f64 x 3) (pow.f64 y 3))) (/.f64 (pow.f64 x 4) (pow.f64 y 4))) (*.f64 (/.f64 x y) (/.f64 x y)))
(-.f64 (+.f64 (/.f64 x y) (pow.f64 (/.f64 x y) 3)) (fma.f64 (/.f64 x y) (/.f64 x y) (/.f64 (pow.f64 x 4) (pow.f64 y 4))))
(.f64 (fma.f64 (/.f64 x y) (/.f64 x y) 1) (.f64 (+.f64 (/.f64 (neg.f64 x) y) 1) (/.f64 x y)))
(/.f64 x y)
(+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (/.f64 x y))
(fma.f64 -1 (/.f64 (.f64 x x) (.f64 y y)) (/.f64 x y))
(-.f64 (/.f64 x y) (*.f64 (/.f64 x y) (/.f64 x y)))
(*.f64 (+.f64 (/.f64 (neg.f64 x) y) 1) (/.f64 x y))
(+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (+.f64 (/.f64 x y) (/.f64 (pow.f64 x 3) (pow.f64 y 3))))
(fma.f64 -1 (/.f64 (.f64 x x) (.f64 y y)) (+.f64 (/.f64 x y) (/.f64 (pow.f64 x 3) (pow.f64 y 3))))
(+.f64 (-.f64 (/.f64 x y) (*.f64 (/.f64 x y) (/.f64 x y))) (/.f64 (pow.f64 x 3) (pow.f64 y 3)))
(-.f64 (+.f64 (/.f64 x y) (pow.f64 (/.f64 x y) 3)) (*.f64 (/.f64 x y) (/.f64 x y)))
(fma.f64 (*.f64 (/.f64 x y) (/.f64 x y)) (+.f64 (/.f64 x y) -1) (/.f64 x y))
(+.f64 (.f64 -1 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (+.f64 (.f64 -1 (/.f64 (pow.f64 x 4) (pow.f64 y 4))) (+.f64 (/.f64 x y) (/.f64 (pow.f64 x 3) (pow.f64 y 3)))))
(fma.f64 -1 (/.f64 (.f64 x x) (.f64 y y)) (fma.f64 -1 (/.f64 (pow.f64 x 4) (pow.f64 y 4)) (+.f64 (/.f64 x y) (/.f64 (pow.f64 x 3) (pow.f64 y 3)))))
(-.f64 (-.f64 (+.f64 (/.f64 x y) (/.f64 (pow.f64 x 3) (pow.f64 y 3))) (/.f64 (pow.f64 x 4) (pow.f64 y 4))) (*.f64 (/.f64 x y) (/.f64 x y)))
(-.f64 (+.f64 (/.f64 x y) (pow.f64 (/.f64 x y) 3)) (fma.f64 (/.f64 x y) (/.f64 x y) (/.f64 (pow.f64 x 4) (pow.f64 y 4))))
(.f64 (fma.f64 (/.f64 x y) (/.f64 x y) 1) (.f64 (+.f64 (/.f64 (neg.f64 x) y) 1) (/.f64 x y)))

eval9.0ms (0.4%)

Compiler: Compiled 542 to 239 computations (55.9% saved)

prune11.0ms (0.4%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	42	5	47
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	42	6	48

Error

Counts

48 → 6

Alt Table

Click to see full alt table

Status	Error	Program
▶	22.0b	(-.f64 (+.f64 1 (/.f64 x (+.f64 x y))) 1)
▶	13.0b	(cbrt.f64 (pow.f64 (/.f64 x (+.f64 x y)) 3))
▶	32.0b	(-.f64 1 (/.f64 y x))
	31.4b	1
✓	0.0b	(/.f64 x (+.f64 x y))
▶	32.0b	(/.f64 x y)

Compiler

Compiled 43 to 30 computations (30.2% saved)

localize10.0ms (0.4%)

Local error

Found 3 expressions with local error:

New	Error	Program
	0.0b	(/.f64 x (+.f64 x y))
✓	0.1b	(pow.f64 (/.f64 x (+.f64 x y)) 3)
✓	13.0b	(cbrt.f64 (pow.f64 (/.f64 x (+.f64 x y)) 3))

Compiler

Compiled 28 to 10 computations (64.3% saved)

series8.0ms (0.3%)

Counts

2 → 48

Calls

12 calls:

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

rewrite147.0ms (5.5%)

Algorithm

1×	batch-egg-rewrite

Rules

903×	`pow1_binary64`
852×	`add-log-exp_binary64`
852×	`log1p-expm1-u_binary64`
852×	`expm1-log1p-u_binary64`
831×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	17
1	184	17
2	2315	17

Stop Event

1×	node limit

Counts

2 → 80

Calls

Call 1

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

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

Outputs

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

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

simplify68.0ms (2.5%)

Algorithm

1×	egg-herbie

Rules

970×	`times-frac_binary64`
497×	`associate-/l*_binary64`
443×	`associate-/r*_binary64`
338×	`associate-r_binary64`
296×	`associate-+l-_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	166	1453
1	561	1312
2	2129	1106

Stop Event

1×	node limit

Counts

128 → 133

Calls

Call 1

Inputs
(/.f64 x y)
(+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (/.f64 x y))
(+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (+.f64 (/.f64 x y) (/.f64 (pow.f64 x 3) (pow.f64 y 3))))
(+.f64 (.f64 -1 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (+.f64 (.f64 -1 (/.f64 (pow.f64 x 4) (pow.f64 y 4))) (+.f64 (/.f64 x y) (/.f64 (pow.f64 x 3) (pow.f64 y 3)))))
1
(+.f64 1 (*.f64 -1 (/.f64 y x)))
(+.f64 1 (+.f64 (/.f64 (pow.f64 y 2) (pow.f64 x 2)) (*.f64 -1 (/.f64 y x))))
(+.f64 1 (+.f64 (/.f64 (pow.f64 y 2) (pow.f64 x 2)) (+.f64 (.f64 -1 (/.f64 (pow.f64 y 3) (pow.f64 x 3))) (.f64 -1 (/.f64 y x)))))
(*.f64 -1 (cbrt.f64 -1))
(+.f64 (.f64 -1 (cbrt.f64 -1)) (/.f64 (.f64 y (cbrt.f64 -1)) x))
(+.f64 (.f64 -1 (cbrt.f64 -1)) (+.f64 (/.f64 (.f64 y (cbrt.f64 -1)) x) (.f64 -1 (/.f64 (.f64 (pow.f64 y 2) (cbrt.f64 -1)) (pow.f64 x 2)))))
(+.f64 (.f64 -1 (cbrt.f64 -1)) (+.f64 (/.f64 (.f64 y (cbrt.f64 -1)) x) (+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 y 2) (cbrt.f64 -1)) (pow.f64 x 2))) (/.f64 (*.f64 (pow.f64 y 3) (cbrt.f64 -1)) (pow.f64 x 3)))))
1
(+.f64 1 (*.f64 -1 (/.f64 y x)))
(+.f64 1 (+.f64 (/.f64 (pow.f64 y 2) (pow.f64 x 2)) (*.f64 -1 (/.f64 y x))))
(+.f64 1 (+.f64 (/.f64 (pow.f64 y 2) (pow.f64 x 2)) (+.f64 (.f64 -1 (/.f64 (pow.f64 y 3) (pow.f64 x 3))) (.f64 -1 (/.f64 y x)))))
(/.f64 x y)
(+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (/.f64 x y))
(+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (+.f64 (/.f64 x y) (/.f64 (pow.f64 x 3) (pow.f64 y 3))))
(+.f64 (.f64 -1 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (+.f64 (.f64 -1 (/.f64 (pow.f64 x 4) (pow.f64 y 4))) (+.f64 (/.f64 x y) (/.f64 (pow.f64 x 3) (pow.f64 y 3)))))
(/.f64 x y)
(+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (/.f64 x y))
(+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (+.f64 (/.f64 x y) (/.f64 (pow.f64 x 3) (pow.f64 y 3))))
(+.f64 (.f64 -1 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (+.f64 (.f64 -1 (/.f64 (pow.f64 x 4) (pow.f64 y 4))) (+.f64 (/.f64 x y) (/.f64 (pow.f64 x 3) (pow.f64 y 3)))))
(/.f64 (pow.f64 x 3) (pow.f64 y 3))
(+.f64 (*.f64 -3 (/.f64 (pow.f64 x 4) (pow.f64 y 4))) (/.f64 (pow.f64 x 3) (pow.f64 y 3)))
(+.f64 (.f64 6 (/.f64 (pow.f64 x 5) (pow.f64 y 5))) (+.f64 (.f64 -3 (/.f64 (pow.f64 x 4) (pow.f64 y 4))) (/.f64 (pow.f64 x 3) (pow.f64 y 3))))
(+.f64 (.f64 6 (/.f64 (pow.f64 x 5) (pow.f64 y 5))) (+.f64 (.f64 -3 (/.f64 (pow.f64 x 4) (pow.f64 y 4))) (+.f64 (*.f64 -10 (/.f64 (pow.f64 x 6) (pow.f64 y 6))) (/.f64 (pow.f64 x 3) (pow.f64 y 3)))))
1
(+.f64 1 (+.f64 (.f64 -2 (/.f64 y x)) (.f64 -1 (/.f64 y x))))
(+.f64 1 (+.f64 (.f64 -2 (/.f64 y x)) (+.f64 (.f64 2 (/.f64 (pow.f64 y 2) (pow.f64 x 2))) (+.f64 (.f64 -1 (/.f64 y x)) (.f64 4 (/.f64 (pow.f64 y 2) (pow.f64 x 2)))))))
(+.f64 (.f64 -2 (/.f64 (pow.f64 y 3) (pow.f64 x 3))) (+.f64 1 (+.f64 (.f64 -1 (/.f64 (.f64 (+.f64 (.f64 2 (pow.f64 y 2)) (pow.f64 y 2)) y) (pow.f64 x 3))) (+.f64 (.f64 -4 (/.f64 (pow.f64 y 3) (pow.f64 x 3))) (+.f64 (.f64 -1 (/.f64 (pow.f64 y 3) (pow.f64 x 3))) (+.f64 (.f64 4 (/.f64 (pow.f64 y 2) (pow.f64 x 2))) (+.f64 (.f64 -2 (/.f64 y x)) (+.f64 (.f64 2 (/.f64 (pow.f64 y 2) (pow.f64 x 2))) (.f64 -1 (/.f64 y x))))))))))
1
(+.f64 1 (.f64 -1 (/.f64 (+.f64 (.f64 2 y) y) x)))
(+.f64 1 (+.f64 (.f64 2 (/.f64 (pow.f64 y 2) (pow.f64 x 2))) (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 2 y) y) x)) (.f64 4 (/.f64 (pow.f64 y 2) (pow.f64 x 2))))))
(+.f64 1 (+.f64 (.f64 2 (/.f64 (pow.f64 y 2) (pow.f64 x 2))) (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 2 y) y) x)) (+.f64 (.f64 -1 (/.f64 (+.f64 (pow.f64 y 3) (+.f64 (.f64 4 (pow.f64 y 3)) (+.f64 (.f64 2 (pow.f64 y 3)) (.f64 (+.f64 (.f64 2 (pow.f64 y 2)) (pow.f64 y 2)) y)))) (pow.f64 x 3))) (*.f64 4 (/.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 6 (/.f64 (pow.f64 y 2) (pow.f64 x 2)))))
(+.f64 (.f64 -3 (/.f64 y x)) (+.f64 1 (+.f64 (.f64 -10 (/.f64 (pow.f64 y 3) (pow.f64 x 3))) (*.f64 6 (/.f64 (pow.f64 y 2) (pow.f64 x 2))))))
(/.f64 (pow.f64 x 3) (pow.f64 y 3))
(+.f64 (.f64 -1 (/.f64 (pow.f64 x 4) (pow.f64 y 4))) (+.f64 (.f64 -2 (/.f64 (pow.f64 x 4) (pow.f64 y 4))) (/.f64 (pow.f64 x 3) (pow.f64 y 3))))
(+.f64 (/.f64 (.f64 (+.f64 (pow.f64 x 4) (.f64 2 (pow.f64 x 4))) x) (pow.f64 y 5)) (+.f64 (/.f64 (pow.f64 x 5) (pow.f64 y 5)) (+.f64 (.f64 -1 (/.f64 (pow.f64 x 4) (pow.f64 y 4))) (+.f64 (.f64 -2 (/.f64 (pow.f64 x 4) (pow.f64 y 4))) (+.f64 (/.f64 (pow.f64 x 3) (pow.f64 y 3)) (*.f64 2 (/.f64 (pow.f64 x 5) (pow.f64 y 5))))))))
(+.f64 (/.f64 (.f64 (+.f64 (pow.f64 x 4) (.f64 2 (pow.f64 x 4))) x) (pow.f64 y 5)) (+.f64 (/.f64 (pow.f64 x 5) (pow.f64 y 5)) (+.f64 (.f64 -2 (/.f64 (pow.f64 x 6) (pow.f64 y 6))) (+.f64 (/.f64 (pow.f64 x 3) (pow.f64 y 3)) (+.f64 (.f64 -1 (/.f64 (.f64 (+.f64 (pow.f64 x 4) (.f64 2 (pow.f64 x 4))) (pow.f64 x 2)) (pow.f64 y 6))) (+.f64 (.f64 2 (/.f64 (pow.f64 x 5) (pow.f64 y 5))) (+.f64 (.f64 -1 (/.f64 (pow.f64 x 6) (pow.f64 y 6))) (+.f64 (.f64 -4 (/.f64 (pow.f64 x 6) (pow.f64 y 6))) (+.f64 (.f64 -1 (/.f64 (pow.f64 x 4) (pow.f64 y 4))) (*.f64 -2 (/.f64 (pow.f64 x 4) (pow.f64 y 4))))))))))))
(/.f64 (pow.f64 x 3) (pow.f64 y 3))
(+.f64 (.f64 -1 (/.f64 (pow.f64 x 4) (pow.f64 y 4))) (+.f64 (.f64 -2 (/.f64 (pow.f64 x 4) (pow.f64 y 4))) (/.f64 (pow.f64 x 3) (pow.f64 y 3))))
(+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 -1 (pow.f64 x 5)) (+.f64 (.f64 -2 (pow.f64 x 5)) (.f64 -1 (.f64 (+.f64 (pow.f64 x 4) (.f64 2 (pow.f64 x 4))) x)))) (pow.f64 y 5))) (+.f64 (.f64 -1 (/.f64 (pow.f64 x 4) (pow.f64 y 4))) (+.f64 (.f64 -2 (/.f64 (pow.f64 x 4) (pow.f64 y 4))) (/.f64 (pow.f64 x 3) (pow.f64 y 3)))))
(+.f64 (.f64 -1 (/.f64 (pow.f64 x 6) (pow.f64 y 6))) (+.f64 (.f64 -4 (/.f64 (pow.f64 x 6) (pow.f64 y 6))) (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 -1 (pow.f64 x 5)) (+.f64 (.f64 -2 (pow.f64 x 5)) (.f64 -1 (.f64 (+.f64 (pow.f64 x 4) (.f64 2 (pow.f64 x 4))) x)))) (pow.f64 y 5))) (+.f64 (.f64 -1 (/.f64 (pow.f64 x 4) (pow.f64 y 4))) (+.f64 (.f64 -2 (/.f64 (pow.f64 x 6) (pow.f64 y 6))) (+.f64 (.f64 -2 (/.f64 (pow.f64 x 4) (pow.f64 y 4))) (+.f64 (.f64 -1 (/.f64 (.f64 (+.f64 (pow.f64 x 4) (.f64 2 (pow.f64 x 4))) (pow.f64 x 2)) (pow.f64 y 6))) (/.f64 (pow.f64 x 3) (pow.f64 y 3)))))))))

Outputs
(/.f64 x y)
(+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (/.f64 x y))
(fma.f64 -1 (/.f64 (.f64 x x) (.f64 y y)) (/.f64 x y))
(-.f64 (/.f64 x y) (*.f64 (/.f64 x y) (/.f64 x y)))
(+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (+.f64 (/.f64 x y) (/.f64 (pow.f64 x 3) (pow.f64 y 3))))
(fma.f64 -1 (/.f64 (.f64 x x) (.f64 y y)) (+.f64 (/.f64 x y) (/.f64 (pow.f64 x 3) (pow.f64 y 3))))
(+.f64 (-.f64 (/.f64 x y) (*.f64 (/.f64 x y) (/.f64 x y))) (/.f64 (pow.f64 x 3) (pow.f64 y 3)))
(+.f64 (/.f64 x y) (-.f64 (pow.f64 (/.f64 x y) 3) (*.f64 (/.f64 x y) (/.f64 x y))))
(+.f64 (.f64 -1 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (+.f64 (.f64 -1 (/.f64 (pow.f64 x 4) (pow.f64 y 4))) (+.f64 (/.f64 x y) (/.f64 (pow.f64 x 3) (pow.f64 y 3)))))
(fma.f64 -1 (/.f64 (.f64 x x) (.f64 y y)) (fma.f64 -1 (/.f64 (pow.f64 x 4) (pow.f64 y 4)) (+.f64 (/.f64 x y) (/.f64 (pow.f64 x 3) (pow.f64 y 3)))))
(-.f64 (-.f64 (+.f64 (/.f64 x y) (/.f64 (pow.f64 x 3) (pow.f64 y 3))) (/.f64 (pow.f64 x 4) (pow.f64 y 4))) (*.f64 (/.f64 x y) (/.f64 x y)))
(+.f64 (/.f64 x y) (-.f64 (-.f64 (pow.f64 (/.f64 x y) 3) (/.f64 (pow.f64 x 4) (pow.f64 y 4))) (*.f64 (/.f64 x y) (/.f64 x y))))
1
(+.f64 1 (*.f64 -1 (/.f64 y x)))
(+.f64 1 (neg.f64 (/.f64 y x)))
(-.f64 1 (/.f64 y x))
(+.f64 1 (+.f64 (/.f64 (pow.f64 y 2) (pow.f64 x 2)) (*.f64 -1 (/.f64 y x))))
(+.f64 1 (+.f64 (neg.f64 (/.f64 y x)) (/.f64 (.f64 y y) (.f64 x x))))
(+.f64 1 (-.f64 (/.f64 (.f64 y y) (.f64 x x)) (/.f64 y x)))
(+.f64 1 (*.f64 (/.f64 y x) (+.f64 -1 (/.f64 y x))))
(+.f64 1 (+.f64 (/.f64 (pow.f64 y 2) (pow.f64 x 2)) (+.f64 (.f64 -1 (/.f64 (pow.f64 y 3) (pow.f64 x 3))) (.f64 -1 (/.f64 y x)))))
(+.f64 1 (+.f64 (/.f64 (.f64 y y) (.f64 x x)) (fma.f64 -1 (/.f64 (pow.f64 y 3) (pow.f64 x 3)) (neg.f64 (/.f64 y x)))))
(+.f64 1 (-.f64 (-.f64 (/.f64 (.f64 y y) (.f64 x x)) (/.f64 (pow.f64 y 3) (pow.f64 x 3))) (/.f64 y x)))
(+.f64 1 (-.f64 (*.f64 (/.f64 y x) (+.f64 -1 (/.f64 y x))) (pow.f64 (/.f64 y x) 3)))
(*.f64 -1 (cbrt.f64 -1))
(neg.f64 (cbrt.f64 -1))
(+.f64 (.f64 -1 (cbrt.f64 -1)) (/.f64 (.f64 y (cbrt.f64 -1)) x))
(fma.f64 -1 (cbrt.f64 -1) (/.f64 y (/.f64 x (cbrt.f64 -1))))
(-.f64 (*.f64 (/.f64 y x) (cbrt.f64 -1)) (cbrt.f64 -1))
(*.f64 (cbrt.f64 -1) (+.f64 -1 (/.f64 y x)))
(+.f64 (.f64 -1 (cbrt.f64 -1)) (+.f64 (/.f64 (.f64 y (cbrt.f64 -1)) x) (.f64 -1 (/.f64 (.f64 (pow.f64 y 2) (cbrt.f64 -1)) (pow.f64 x 2)))))
(+.f64 (fma.f64 -1 (cbrt.f64 -1) (/.f64 y (/.f64 x (cbrt.f64 -1)))) (neg.f64 (/.f64 (.f64 y y) (/.f64 (.f64 x x) (cbrt.f64 -1)))))
(-.f64 (-.f64 (.f64 (/.f64 y x) (cbrt.f64 -1)) (cbrt.f64 -1)) (.f64 (/.f64 (.f64 y y) (.f64 x x)) (cbrt.f64 -1)))
(-.f64 (.f64 (cbrt.f64 -1) (-.f64 (/.f64 y x) (.f64 (/.f64 y (*.f64 x x)) y))) (cbrt.f64 -1))
(+.f64 (.f64 -1 (cbrt.f64 -1)) (+.f64 (/.f64 (.f64 y (cbrt.f64 -1)) x) (+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 y 2) (cbrt.f64 -1)) (pow.f64 x 2))) (/.f64 (*.f64 (pow.f64 y 3) (cbrt.f64 -1)) (pow.f64 x 3)))))
(+.f64 (fma.f64 -1 (cbrt.f64 -1) (/.f64 y (/.f64 x (cbrt.f64 -1)))) (fma.f64 -1 (/.f64 (.f64 y y) (/.f64 (.f64 x x) (cbrt.f64 -1))) (/.f64 (pow.f64 y 3) (/.f64 (pow.f64 x 3) (cbrt.f64 -1)))))
(+.f64 (-.f64 (.f64 (/.f64 y x) (cbrt.f64 -1)) (cbrt.f64 -1)) (-.f64 (.f64 (/.f64 (pow.f64 y 3) (pow.f64 x 3)) (cbrt.f64 -1)) (.f64 (/.f64 (.f64 y y) (*.f64 x x)) (cbrt.f64 -1))))
(+.f64 (.f64 (cbrt.f64 -1) (+.f64 -1 (/.f64 y x))) (.f64 (cbrt.f64 -1) (-.f64 (pow.f64 (/.f64 y x) 3) (.f64 (/.f64 y (.f64 x x)) y))))
1
(+.f64 1 (*.f64 -1 (/.f64 y x)))
(+.f64 1 (neg.f64 (/.f64 y x)))
(-.f64 1 (/.f64 y x))
(+.f64 1 (+.f64 (/.f64 (pow.f64 y 2) (pow.f64 x 2)) (*.f64 -1 (/.f64 y x))))
(+.f64 1 (+.f64 (neg.f64 (/.f64 y x)) (/.f64 (.f64 y y) (.f64 x x))))
(+.f64 1 (-.f64 (/.f64 (.f64 y y) (.f64 x x)) (/.f64 y x)))
(+.f64 1 (*.f64 (/.f64 y x) (+.f64 -1 (/.f64 y x))))
(+.f64 1 (+.f64 (/.f64 (pow.f64 y 2) (pow.f64 x 2)) (+.f64 (.f64 -1 (/.f64 (pow.f64 y 3) (pow.f64 x 3))) (.f64 -1 (/.f64 y x)))))
(+.f64 1 (+.f64 (/.f64 (.f64 y y) (.f64 x x)) (fma.f64 -1 (/.f64 (pow.f64 y 3) (pow.f64 x 3)) (neg.f64 (/.f64 y x)))))
(+.f64 1 (-.f64 (-.f64 (/.f64 (.f64 y y) (.f64 x x)) (/.f64 (pow.f64 y 3) (pow.f64 x 3))) (/.f64 y x)))
(+.f64 1 (-.f64 (*.f64 (/.f64 y x) (+.f64 -1 (/.f64 y x))) (pow.f64 (/.f64 y x) 3)))
(/.f64 x y)
(+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (/.f64 x y))
(fma.f64 -1 (/.f64 (.f64 x x) (.f64 y y)) (/.f64 x y))
(-.f64 (/.f64 x y) (*.f64 (/.f64 x y) (/.f64 x y)))
(+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (+.f64 (/.f64 x y) (/.f64 (pow.f64 x 3) (pow.f64 y 3))))
(fma.f64 -1 (/.f64 (.f64 x x) (.f64 y y)) (+.f64 (/.f64 x y) (/.f64 (pow.f64 x 3) (pow.f64 y 3))))
(+.f64 (-.f64 (/.f64 x y) (*.f64 (/.f64 x y) (/.f64 x y))) (/.f64 (pow.f64 x 3) (pow.f64 y 3)))
(+.f64 (/.f64 x y) (-.f64 (pow.f64 (/.f64 x y) 3) (*.f64 (/.f64 x y) (/.f64 x y))))
(+.f64 (.f64 -1 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (+.f64 (.f64 -1 (/.f64 (pow.f64 x 4) (pow.f64 y 4))) (+.f64 (/.f64 x y) (/.f64 (pow.f64 x 3) (pow.f64 y 3)))))
(fma.f64 -1 (/.f64 (.f64 x x) (.f64 y y)) (fma.f64 -1 (/.f64 (pow.f64 x 4) (pow.f64 y 4)) (+.f64 (/.f64 x y) (/.f64 (pow.f64 x 3) (pow.f64 y 3)))))
(-.f64 (-.f64 (+.f64 (/.f64 x y) (/.f64 (pow.f64 x 3) (pow.f64 y 3))) (/.f64 (pow.f64 x 4) (pow.f64 y 4))) (*.f64 (/.f64 x y) (/.f64 x y)))
(+.f64 (/.f64 x y) (-.f64 (-.f64 (pow.f64 (/.f64 x y) 3) (/.f64 (pow.f64 x 4) (pow.f64 y 4))) (*.f64 (/.f64 x y) (/.f64 x y))))
(/.f64 x y)
(+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (/.f64 x y))
(fma.f64 -1 (/.f64 (.f64 x x) (.f64 y y)) (/.f64 x y))
(-.f64 (/.f64 x y) (*.f64 (/.f64 x y) (/.f64 x y)))
(+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (+.f64 (/.f64 x y) (/.f64 (pow.f64 x 3) (pow.f64 y 3))))
(fma.f64 -1 (/.f64 (.f64 x x) (.f64 y y)) (+.f64 (/.f64 x y) (/.f64 (pow.f64 x 3) (pow.f64 y 3))))
(+.f64 (-.f64 (/.f64 x y) (*.f64 (/.f64 x y) (/.f64 x y))) (/.f64 (pow.f64 x 3) (pow.f64 y 3)))
(+.f64 (/.f64 x y) (-.f64 (pow.f64 (/.f64 x y) 3) (*.f64 (/.f64 x y) (/.f64 x y))))
(+.f64 (.f64 -1 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (+.f64 (.f64 -1 (/.f64 (pow.f64 x 4) (pow.f64 y 4))) (+.f64 (/.f64 x y) (/.f64 (pow.f64 x 3) (pow.f64 y 3)))))
(fma.f64 -1 (/.f64 (.f64 x x) (.f64 y y)) (fma.f64 -1 (/.f64 (pow.f64 x 4) (pow.f64 y 4)) (+.f64 (/.f64 x y) (/.f64 (pow.f64 x 3) (pow.f64 y 3)))))
(-.f64 (-.f64 (+.f64 (/.f64 x y) (/.f64 (pow.f64 x 3) (pow.f64 y 3))) (/.f64 (pow.f64 x 4) (pow.f64 y 4))) (*.f64 (/.f64 x y) (/.f64 x y)))
(+.f64 (/.f64 x y) (-.f64 (-.f64 (pow.f64 (/.f64 x y) 3) (/.f64 (pow.f64 x 4) (pow.f64 y 4))) (*.f64 (/.f64 x y) (/.f64 x y))))
(/.f64 (pow.f64 x 3) (pow.f64 y 3))
(pow.f64 (/.f64 x y) 3)
(+.f64 (*.f64 -3 (/.f64 (pow.f64 x 4) (pow.f64 y 4))) (/.f64 (pow.f64 x 3) (pow.f64 y 3)))
(fma.f64 -3 (/.f64 (pow.f64 x 4) (pow.f64 y 4)) (/.f64 (pow.f64 x 3) (pow.f64 y 3)))
(fma.f64 (/.f64 (pow.f64 x 4) (pow.f64 y 4)) -3 (/.f64 (pow.f64 x 3) (pow.f64 y 3)))
(fma.f64 (/.f64 (pow.f64 x 4) (pow.f64 y 4)) -3 (pow.f64 (/.f64 x y) 3))
(+.f64 (.f64 6 (/.f64 (pow.f64 x 5) (pow.f64 y 5))) (+.f64 (.f64 -3 (/.f64 (pow.f64 x 4) (pow.f64 y 4))) (/.f64 (pow.f64 x 3) (pow.f64 y 3))))
(fma.f64 6 (/.f64 (pow.f64 x 5) (pow.f64 y 5)) (fma.f64 -3 (/.f64 (pow.f64 x 4) (pow.f64 y 4)) (/.f64 (pow.f64 x 3) (pow.f64 y 3))))
(fma.f64 6 (/.f64 (pow.f64 x 5) (pow.f64 y 5)) (fma.f64 (/.f64 (pow.f64 x 4) (pow.f64 y 4)) -3 (/.f64 (pow.f64 x 3) (pow.f64 y 3))))
(fma.f64 6 (/.f64 (pow.f64 x 5) (pow.f64 y 5)) (fma.f64 (/.f64 (pow.f64 x 4) (pow.f64 y 4)) -3 (pow.f64 (/.f64 x y) 3)))
(+.f64 (.f64 6 (/.f64 (pow.f64 x 5) (pow.f64 y 5))) (+.f64 (.f64 -3 (/.f64 (pow.f64 x 4) (pow.f64 y 4))) (+.f64 (*.f64 -10 (/.f64 (pow.f64 x 6) (pow.f64 y 6))) (/.f64 (pow.f64 x 3) (pow.f64 y 3)))))
(fma.f64 6 (/.f64 (pow.f64 x 5) (pow.f64 y 5)) (fma.f64 -3 (/.f64 (pow.f64 x 4) (pow.f64 y 4)) (fma.f64 -10 (/.f64 (pow.f64 x 6) (pow.f64 y 6)) (/.f64 (pow.f64 x 3) (pow.f64 y 3)))))
(fma.f64 6 (/.f64 (pow.f64 x 5) (pow.f64 y 5)) (fma.f64 (/.f64 (pow.f64 x 4) (pow.f64 y 4)) -3 (fma.f64 -10 (/.f64 (pow.f64 x 6) (pow.f64 y 6)) (/.f64 (pow.f64 x 3) (pow.f64 y 3)))))
(fma.f64 6 (/.f64 (pow.f64 x 5) (pow.f64 y 5)) (fma.f64 (/.f64 (pow.f64 x 4) (pow.f64 y 4)) -3 (fma.f64 -10 (/.f64 (pow.f64 x 6) (pow.f64 y 6)) (pow.f64 (/.f64 x y) 3))))
1
(+.f64 1 (+.f64 (.f64 -2 (/.f64 y x)) (.f64 -1 (/.f64 y x))))
(fma.f64 -3 (/.f64 y x) 1)
(fma.f64 (/.f64 y x) -3 1)
(+.f64 1 (+.f64 (.f64 -2 (/.f64 y x)) (+.f64 (.f64 2 (/.f64 (pow.f64 y 2) (pow.f64 x 2))) (+.f64 (.f64 -1 (/.f64 y x)) (.f64 4 (/.f64 (pow.f64 y 2) (pow.f64 x 2)))))))
(+.f64 1 (fma.f64 -2 (/.f64 y x) (fma.f64 2 (/.f64 (.f64 y y) (.f64 x x)) (fma.f64 -1 (/.f64 y x) (.f64 4 (/.f64 (.f64 y y) (*.f64 x x)))))))
(+.f64 1 (fma.f64 2 (/.f64 (.f64 y y) (.f64 x x)) (fma.f64 4 (/.f64 (.f64 y y) (.f64 x x)) (*.f64 (/.f64 y x) -3))))
(fma.f64 (/.f64 y x) -3 (fma.f64 (.f64 (/.f64 y (.f64 x x)) y) 6 1))
(+.f64 (.f64 -2 (/.f64 (pow.f64 y 3) (pow.f64 x 3))) (+.f64 1 (+.f64 (.f64 -1 (/.f64 (.f64 (+.f64 (.f64 2 (pow.f64 y 2)) (pow.f64 y 2)) y) (pow.f64 x 3))) (+.f64 (.f64 -4 (/.f64 (pow.f64 y 3) (pow.f64 x 3))) (+.f64 (.f64 -1 (/.f64 (pow.f64 y 3) (pow.f64 x 3))) (+.f64 (.f64 4 (/.f64 (pow.f64 y 2) (pow.f64 x 2))) (+.f64 (.f64 -2 (/.f64 y x)) (+.f64 (.f64 2 (/.f64 (pow.f64 y 2) (pow.f64 x 2))) (.f64 -1 (/.f64 y x))))))))))
(fma.f64 -2 (/.f64 (pow.f64 y 3) (pow.f64 x 3)) (+.f64 1 (fma.f64 -1 (/.f64 (.f64 3 (.f64 y y)) (/.f64 (pow.f64 x 3) y)) (fma.f64 -4 (/.f64 (pow.f64 y 3) (pow.f64 x 3)) (fma.f64 -1 (/.f64 (pow.f64 y 3) (pow.f64 x 3)) (fma.f64 4 (/.f64 (.f64 y y) (.f64 x x)) (fma.f64 -2 (/.f64 y x) (fma.f64 2 (/.f64 (.f64 y y) (.f64 x x)) (neg.f64 (/.f64 y x))))))))))
(+.f64 (-.f64 (+.f64 (fma.f64 2 (/.f64 (.f64 y y) (.f64 x x)) (fma.f64 4 (/.f64 (.f64 y y) (.f64 x x)) (.f64 (/.f64 y x) -3))) (.f64 (/.f64 (pow.f64 y 3) (pow.f64 x 3)) -5)) (/.f64 3 (/.f64 (pow.f64 x 3) (pow.f64 y 3)))) (fma.f64 (/.f64 (pow.f64 y 3) (pow.f64 x 3)) -2 1))
(+.f64 (+.f64 (.f64 (pow.f64 (/.f64 y x) 3) -5) (+.f64 (+.f64 (.f64 (/.f64 y x) -3) (.f64 (.f64 (/.f64 y (*.f64 x x)) y) 6)) (/.f64 -3 (pow.f64 (/.f64 x y) 3)))) (fma.f64 (pow.f64 (/.f64 y x) 3) -2 1))
1
(+.f64 1 (.f64 -1 (/.f64 (+.f64 (.f64 2 y) y) x)))
(fma.f64 -3 (/.f64 y x) 1)
(fma.f64 (/.f64 y x) -3 1)
(+.f64 1 (+.f64 (.f64 2 (/.f64 (pow.f64 y 2) (pow.f64 x 2))) (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 2 y) y) x)) (.f64 4 (/.f64 (pow.f64 y 2) (pow.f64 x 2))))))
(+.f64 1 (fma.f64 -2 (/.f64 y x) (fma.f64 2 (/.f64 (.f64 y y) (.f64 x x)) (fma.f64 -1 (/.f64 y x) (.f64 4 (/.f64 (.f64 y y) (*.f64 x x)))))))
(+.f64 1 (fma.f64 2 (/.f64 (.f64 y y) (.f64 x x)) (fma.f64 4 (/.f64 (.f64 y y) (.f64 x x)) (*.f64 (/.f64 y x) -3))))
(fma.f64 (/.f64 y x) -3 (fma.f64 (.f64 (/.f64 y (.f64 x x)) y) 6 1))
(+.f64 1 (+.f64 (.f64 2 (/.f64 (pow.f64 y 2) (pow.f64 x 2))) (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 2 y) y) x)) (+.f64 (.f64 -1 (/.f64 (+.f64 (pow.f64 y 3) (+.f64 (.f64 4 (pow.f64 y 3)) (+.f64 (.f64 2 (pow.f64 y 3)) (.f64 (+.f64 (.f64 2 (pow.f64 y 2)) (pow.f64 y 2)) y)))) (pow.f64 x 3))) (*.f64 4 (/.f64 (pow.f64 y 2) (pow.f64 x 2)))))))
(+.f64 1 (fma.f64 2 (/.f64 (.f64 y y) (.f64 x x)) (fma.f64 -1 (/.f64 (.f64 3 y) x) (fma.f64 -1 (/.f64 (+.f64 (pow.f64 y 3) (fma.f64 4 (pow.f64 y 3) (fma.f64 2 (pow.f64 y 3) (.f64 y (.f64 3 (.f64 y y)))))) (pow.f64 x 3)) (.f64 4 (/.f64 (.f64 y y) (*.f64 x x)))))))
(+.f64 1 (+.f64 (fma.f64 2 (/.f64 (.f64 y y) (.f64 x x)) (.f64 (/.f64 y x) -3)) (-.f64 (.f64 4 (/.f64 (.f64 y y) (.f64 x x))) (/.f64 (+.f64 (.f64 (pow.f64 y 3) 6) (+.f64 (.f64 3 (pow.f64 y 3)) (pow.f64 y 3))) (pow.f64 x 3)))))
(-.f64 (fma.f64 (/.f64 y x) -3 (fma.f64 (.f64 (/.f64 y (.f64 x x)) y) 6 1)) (/.f64 (+.f64 (.f64 (pow.f64 y 3) 5) (.f64 5 (pow.f64 y 3))) (pow.f64 x 3)))
1
(+.f64 (*.f64 -3 (/.f64 y x)) 1)
(fma.f64 -3 (/.f64 y x) 1)
(fma.f64 (/.f64 y x) -3 1)
(+.f64 (.f64 -3 (/.f64 y x)) (+.f64 1 (.f64 6 (/.f64 (pow.f64 y 2) (pow.f64 x 2)))))
(+.f64 1 (fma.f64 -2 (/.f64 y x) (fma.f64 2 (/.f64 (.f64 y y) (.f64 x x)) (fma.f64 -1 (/.f64 y x) (.f64 4 (/.f64 (.f64 y y) (*.f64 x x)))))))
(+.f64 1 (fma.f64 2 (/.f64 (.f64 y y) (.f64 x x)) (fma.f64 4 (/.f64 (.f64 y y) (.f64 x x)) (*.f64 (/.f64 y x) -3))))
(fma.f64 (/.f64 y x) -3 (fma.f64 (.f64 (/.f64 y (.f64 x x)) y) 6 1))
(+.f64 (.f64 -3 (/.f64 y x)) (+.f64 1 (+.f64 (.f64 -10 (/.f64 (pow.f64 y 3) (pow.f64 x 3))) (*.f64 6 (/.f64 (pow.f64 y 2) (pow.f64 x 2))))))
(+.f64 (fma.f64 -3 (/.f64 y x) 1) (fma.f64 -10 (/.f64 (pow.f64 y 3) (pow.f64 x 3)) (.f64 (/.f64 (.f64 y y) (*.f64 x x)) 6)))
(+.f64 (fma.f64 (/.f64 y x) -3 1) (fma.f64 (/.f64 (.f64 y y) (.f64 x x)) 6 (/.f64 (*.f64 (pow.f64 y 3) -10) (pow.f64 x 3))))
(+.f64 (fma.f64 (/.f64 y x) -3 1) (fma.f64 (.f64 (/.f64 y (.f64 x x)) y) 6 (/.f64 -10 (pow.f64 (/.f64 x y) 3))))
(/.f64 (pow.f64 x 3) (pow.f64 y 3))
(pow.f64 (/.f64 x y) 3)
(+.f64 (.f64 -1 (/.f64 (pow.f64 x 4) (pow.f64 y 4))) (+.f64 (.f64 -2 (/.f64 (pow.f64 x 4) (pow.f64 y 4))) (/.f64 (pow.f64 x 3) (pow.f64 y 3))))
(fma.f64 -3 (/.f64 (pow.f64 x 4) (pow.f64 y 4)) (/.f64 (pow.f64 x 3) (pow.f64 y 3)))
(fma.f64 (/.f64 (pow.f64 x 4) (pow.f64 y 4)) -3 (/.f64 (pow.f64 x 3) (pow.f64 y 3)))
(fma.f64 (/.f64 (pow.f64 x 4) (pow.f64 y 4)) -3 (pow.f64 (/.f64 x y) 3))
(+.f64 (/.f64 (.f64 (+.f64 (pow.f64 x 4) (.f64 2 (pow.f64 x 4))) x) (pow.f64 y 5)) (+.f64 (/.f64 (pow.f64 x 5) (pow.f64 y 5)) (+.f64 (.f64 -1 (/.f64 (pow.f64 x 4) (pow.f64 y 4))) (+.f64 (.f64 -2 (/.f64 (pow.f64 x 4) (pow.f64 y 4))) (+.f64 (/.f64 (pow.f64 x 3) (pow.f64 y 3)) (*.f64 2 (/.f64 (pow.f64 x 5) (pow.f64 y 5))))))))
(+.f64 (/.f64 (.f64 3 (pow.f64 x 4)) (/.f64 (pow.f64 y 5) x)) (+.f64 (/.f64 (pow.f64 x 5) (pow.f64 y 5)) (+.f64 (.f64 (/.f64 (pow.f64 x 4) (pow.f64 y 4)) -3) (+.f64 (/.f64 (pow.f64 x 3) (pow.f64 y 3)) (*.f64 2 (/.f64 (pow.f64 x 5) (pow.f64 y 5)))))))
(+.f64 (fma.f64 (/.f64 (pow.f64 x 4) (pow.f64 y 4)) -3 (fma.f64 2 (/.f64 (pow.f64 x 5) (pow.f64 y 5)) (/.f64 (pow.f64 x 3) (pow.f64 y 3)))) (+.f64 (/.f64 (pow.f64 x 5) (pow.f64 y 5)) (/.f64 (*.f64 3 (pow.f64 x 4)) (/.f64 (pow.f64 y 5) x))))
(+.f64 (fma.f64 (/.f64 (pow.f64 x 4) (pow.f64 y 4)) -3 (fma.f64 2 (/.f64 (pow.f64 x 5) (pow.f64 y 5)) (pow.f64 (/.f64 x y) 3))) (+.f64 (/.f64 (pow.f64 x 5) (pow.f64 y 5)) (/.f64 3 (/.f64 (pow.f64 y 5) (pow.f64 x 5)))))
(+.f64 (/.f64 (.f64 (+.f64 (pow.f64 x 4) (.f64 2 (pow.f64 x 4))) x) (pow.f64 y 5)) (+.f64 (/.f64 (pow.f64 x 5) (pow.f64 y 5)) (+.f64 (.f64 -2 (/.f64 (pow.f64 x 6) (pow.f64 y 6))) (+.f64 (/.f64 (pow.f64 x 3) (pow.f64 y 3)) (+.f64 (.f64 -1 (/.f64 (.f64 (+.f64 (pow.f64 x 4) (.f64 2 (pow.f64 x 4))) (pow.f64 x 2)) (pow.f64 y 6))) (+.f64 (.f64 2 (/.f64 (pow.f64 x 5) (pow.f64 y 5))) (+.f64 (.f64 -1 (/.f64 (pow.f64 x 6) (pow.f64 y 6))) (+.f64 (.f64 -4 (/.f64 (pow.f64 x 6) (pow.f64 y 6))) (+.f64 (.f64 -1 (/.f64 (pow.f64 x 4) (pow.f64 y 4))) (*.f64 -2 (/.f64 (pow.f64 x 4) (pow.f64 y 4))))))))))))
(+.f64 (/.f64 (.f64 3 (pow.f64 x 4)) (/.f64 (pow.f64 y 5) x)) (+.f64 (/.f64 (pow.f64 x 5) (pow.f64 y 5)) (fma.f64 -2 (/.f64 (pow.f64 x 6) (pow.f64 y 6)) (+.f64 (/.f64 (pow.f64 x 3) (pow.f64 y 3)) (fma.f64 -1 (/.f64 (.f64 3 (pow.f64 x 4)) (/.f64 (pow.f64 y 6) (.f64 x x))) (fma.f64 2 (/.f64 (pow.f64 x 5) (pow.f64 y 5)) (fma.f64 -1 (/.f64 (pow.f64 x 6) (pow.f64 y 6)) (fma.f64 -4 (/.f64 (pow.f64 x 6) (pow.f64 y 6)) (.f64 (/.f64 (pow.f64 x 4) (pow.f64 y 4)) -3)))))))))
(+.f64 (+.f64 (-.f64 (fma.f64 2 (/.f64 (pow.f64 x 5) (pow.f64 y 5)) (+.f64 (.f64 (/.f64 (pow.f64 x 4) (pow.f64 y 4)) -3) (.f64 (/.f64 (pow.f64 x 6) (pow.f64 y 6)) -5))) (/.f64 (.f64 3 (pow.f64 x 6)) (pow.f64 y 6))) (fma.f64 (/.f64 (pow.f64 x 6) (pow.f64 y 6)) -2 (/.f64 (pow.f64 x 3) (pow.f64 y 3)))) (+.f64 (/.f64 (pow.f64 x 5) (pow.f64 y 5)) (/.f64 (.f64 3 (pow.f64 x 4)) (/.f64 (pow.f64 y 5) x))))
(-.f64 (+.f64 (+.f64 (+.f64 (/.f64 (pow.f64 x 5) (pow.f64 y 5)) (/.f64 3 (/.f64 (pow.f64 y 5) (pow.f64 x 5)))) (fma.f64 (/.f64 (pow.f64 x 6) (pow.f64 y 6)) -2 (pow.f64 (/.f64 x y) 3))) (fma.f64 2 (/.f64 (pow.f64 x 5) (pow.f64 y 5)) (+.f64 (.f64 (/.f64 (pow.f64 x 4) (pow.f64 y 4)) -3) (.f64 (/.f64 (pow.f64 x 6) (pow.f64 y 6)) -5)))) (/.f64 3 (/.f64 (pow.f64 y 6) (pow.f64 x 6))))
(/.f64 (pow.f64 x 3) (pow.f64 y 3))
(pow.f64 (/.f64 x y) 3)
(+.f64 (.f64 -1 (/.f64 (pow.f64 x 4) (pow.f64 y 4))) (+.f64 (.f64 -2 (/.f64 (pow.f64 x 4) (pow.f64 y 4))) (/.f64 (pow.f64 x 3) (pow.f64 y 3))))
(fma.f64 -3 (/.f64 (pow.f64 x 4) (pow.f64 y 4)) (/.f64 (pow.f64 x 3) (pow.f64 y 3)))
(fma.f64 (/.f64 (pow.f64 x 4) (pow.f64 y 4)) -3 (/.f64 (pow.f64 x 3) (pow.f64 y 3)))
(fma.f64 (/.f64 (pow.f64 x 4) (pow.f64 y 4)) -3 (pow.f64 (/.f64 x y) 3))
(+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 -1 (pow.f64 x 5)) (+.f64 (.f64 -2 (pow.f64 x 5)) (.f64 -1 (.f64 (+.f64 (pow.f64 x 4) (.f64 2 (pow.f64 x 4))) x)))) (pow.f64 y 5))) (+.f64 (.f64 -1 (/.f64 (pow.f64 x 4) (pow.f64 y 4))) (+.f64 (.f64 -2 (/.f64 (pow.f64 x 4) (pow.f64 y 4))) (/.f64 (pow.f64 x 3) (pow.f64 y 3)))))
(fma.f64 -1 (/.f64 (fma.f64 -1 (pow.f64 x 5) (fma.f64 -2 (pow.f64 x 5) (neg.f64 (.f64 x (.f64 3 (pow.f64 x 4)))))) (pow.f64 y 5)) (fma.f64 -3 (/.f64 (pow.f64 x 4) (pow.f64 y 4)) (/.f64 (pow.f64 x 3) (pow.f64 y 3))))
(-.f64 (fma.f64 (/.f64 (pow.f64 x 4) (pow.f64 y 4)) -3 (/.f64 (pow.f64 x 3) (pow.f64 y 3))) (/.f64 (-.f64 (.f64 (pow.f64 x 5) -3) (.f64 (*.f64 x 3) (pow.f64 x 4))) (pow.f64 y 5)))
(-.f64 (fma.f64 (/.f64 (pow.f64 x 4) (pow.f64 y 4)) -3 (pow.f64 (/.f64 x y) 3)) (/.f64 (fma.f64 (pow.f64 x 5) -3 (*.f64 -3 (pow.f64 x 5))) (pow.f64 y 5)))
(+.f64 (.f64 -1 (/.f64 (pow.f64 x 6) (pow.f64 y 6))) (+.f64 (.f64 -4 (/.f64 (pow.f64 x 6) (pow.f64 y 6))) (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 -1 (pow.f64 x 5)) (+.f64 (.f64 -2 (pow.f64 x 5)) (.f64 -1 (.f64 (+.f64 (pow.f64 x 4) (.f64 2 (pow.f64 x 4))) x)))) (pow.f64 y 5))) (+.f64 (.f64 -1 (/.f64 (pow.f64 x 4) (pow.f64 y 4))) (+.f64 (.f64 -2 (/.f64 (pow.f64 x 6) (pow.f64 y 6))) (+.f64 (.f64 -2 (/.f64 (pow.f64 x 4) (pow.f64 y 4))) (+.f64 (.f64 -1 (/.f64 (.f64 (+.f64 (pow.f64 x 4) (.f64 2 (pow.f64 x 4))) (pow.f64 x 2)) (pow.f64 y 6))) (/.f64 (pow.f64 x 3) (pow.f64 y 3)))))))))
(fma.f64 -1 (/.f64 (pow.f64 x 6) (pow.f64 y 6)) (fma.f64 -4 (/.f64 (pow.f64 x 6) (pow.f64 y 6)) (fma.f64 -1 (/.f64 (fma.f64 -1 (pow.f64 x 5) (fma.f64 -2 (pow.f64 x 5) (neg.f64 (.f64 x (.f64 3 (pow.f64 x 4)))))) (pow.f64 y 5)) (fma.f64 -1 (/.f64 (pow.f64 x 4) (pow.f64 y 4)) (fma.f64 -2 (/.f64 (pow.f64 x 6) (pow.f64 y 6)) (fma.f64 -2 (/.f64 (pow.f64 x 4) (pow.f64 y 4)) (fma.f64 -1 (/.f64 (.f64 3 (pow.f64 x 4)) (/.f64 (pow.f64 y 6) (.f64 x x))) (/.f64 (pow.f64 x 3) (pow.f64 y 3)))))))))
(+.f64 (-.f64 (-.f64 (fma.f64 (/.f64 (pow.f64 x 6) (pow.f64 y 6)) -2 (fma.f64 (/.f64 (pow.f64 x 4) (pow.f64 y 4)) -2 (-.f64 (/.f64 (pow.f64 x 3) (pow.f64 y 3)) (/.f64 (.f64 3 (pow.f64 x 6)) (pow.f64 y 6))))) (/.f64 (pow.f64 x 4) (pow.f64 y 4))) (/.f64 (-.f64 (.f64 (pow.f64 x 5) -3) (.f64 (.f64 x 3) (pow.f64 x 4))) (pow.f64 y 5))) (*.f64 (/.f64 (pow.f64 x 6) (pow.f64 y 6)) -5))
(+.f64 (-.f64 (+.f64 (+.f64 (fma.f64 (/.f64 (pow.f64 x 6) (pow.f64 y 6)) -2 (pow.f64 (/.f64 x y) 3)) (/.f64 -3 (/.f64 (pow.f64 y 6) (pow.f64 x 6)))) (.f64 (/.f64 (pow.f64 x 4) (pow.f64 y 4)) -3)) (/.f64 (fma.f64 (pow.f64 x 5) -3 (.f64 -3 (pow.f64 x 5))) (pow.f64 y 5))) (*.f64 (/.f64 (pow.f64 x 6) (pow.f64 y 6)) -5))

localize5.0ms (0.2%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 13 to 6 computations (53.8% saved)

series3.0ms (0.1%)

Counts

1 → 24

Calls

6 calls:

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

rewrite142.0ms (5.3%)

Algorithm

1×	batch-egg-rewrite

Rules

708×	`pow1_binary64`
659×	`add-log-exp_binary64`
659×	`log1p-expm1-u_binary64`
659×	`expm1-log1p-u_binary64`
646×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	7
1	128	7
2	1714	7

Stop Event

1×	node limit

Counts

1 → 28

Calls

Call 1

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

Outputs

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

simplify18.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

20×	`fma-def_binary64`
12×	`sub-neg_binary64`
6×	`+-commutative_binary64`
4×	`*-commutative_binary64`
4×	`associate-+l-_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	8	183
1	15	147
2	24	147
3	33	147
4	44	147
5	59	147
6	74	147
7	91	147
8	102	147
9	116	147

Stop Event

1×

saturated

Counts

52 → 33

Calls

Call 1

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

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

localize11.0ms (0.4%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 1 (/.f64 x (+.f64 x y)))
	0.0b	(/.f64 x (+.f64 x y))
✓	2.9b	(-.f64 (+.f64 1 (/.f64 x (+.f64 x y))) 1)

Compiler

Compiled 29 to 11 computations (62.1% saved)

series4.0ms (0.2%)

Counts

2 → 48

Calls

12 calls:

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

rewrite76.0ms (2.8%)

Algorithm

1×	batch-egg-rewrite

Rules

928×	`prod-diff_binary64`
529×	`fma-def_binary64`
408×	`log-prod_binary64`
245×	`fma-neg_binary64`
232×	`pow2_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	8	23
1	190	17
2	2974	17

Stop Event

1×	node limit

Counts

2 → 168

Calls

Call 1

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

Outputs

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

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

simplify57.0ms (2.1%)

Algorithm

1×	egg-herbie

Rules

737×	`associate-/l*_binary64`
627×	`fma-neg_binary64`
539×	`associate-/r*_binary64`
527×	`associate-*l/_binary64`
389×	`associate-r_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	43	846
1	127	786
2	386	699
3	1548	666

Stop Event

1×	node limit

Counts

216 → 195

Calls

Call 1

Inputs
(/.f64 x y)
(+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (/.f64 x y))
(+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (+.f64 (/.f64 x y) (/.f64 (pow.f64 x 3) (pow.f64 y 3))))
(+.f64 (.f64 -1 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (+.f64 (.f64 -1 (/.f64 (pow.f64 x 4) (pow.f64 y 4))) (+.f64 (/.f64 x y) (/.f64 (pow.f64 x 3) (pow.f64 y 3)))))
1
(+.f64 1 (*.f64 -1 (/.f64 y x)))
(+.f64 1 (+.f64 (/.f64 (pow.f64 y 2) (pow.f64 x 2)) (*.f64 -1 (/.f64 y x))))
(+.f64 1 (+.f64 (/.f64 (pow.f64 y 2) (pow.f64 x 2)) (+.f64 (.f64 -1 (/.f64 (pow.f64 y 3) (pow.f64 x 3))) (.f64 -1 (/.f64 y x)))))
1
(+.f64 1 (*.f64 -1 (/.f64 y x)))
(+.f64 1 (+.f64 (/.f64 (pow.f64 y 2) (pow.f64 x 2)) (*.f64 -1 (/.f64 y x))))
(+.f64 1 (+.f64 (/.f64 (pow.f64 y 2) (pow.f64 x 2)) (+.f64 (.f64 -1 (/.f64 (pow.f64 y 3) (pow.f64 x 3))) (.f64 -1 (/.f64 y x)))))
1
(+.f64 1 (*.f64 -1 (/.f64 y x)))
(+.f64 1 (+.f64 (/.f64 (pow.f64 y 2) (pow.f64 x 2)) (*.f64 -1 (/.f64 y x))))
(+.f64 1 (+.f64 (/.f64 (pow.f64 y 2) (pow.f64 x 2)) (+.f64 (.f64 -1 (/.f64 (pow.f64 y 3) (pow.f64 x 3))) (.f64 -1 (/.f64 y x)))))
(/.f64 x y)
(+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (/.f64 x y))
(+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (+.f64 (/.f64 x y) (/.f64 (pow.f64 x 3) (pow.f64 y 3))))
(+.f64 (.f64 -1 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (+.f64 (.f64 -1 (/.f64 (pow.f64 x 4) (pow.f64 y 4))) (+.f64 (/.f64 x y) (/.f64 (pow.f64 x 3) (pow.f64 y 3)))))
(/.f64 x y)
(+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (/.f64 x y))
(+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (+.f64 (/.f64 x y) (/.f64 (pow.f64 x 3) (pow.f64 y 3))))
(+.f64 (.f64 -1 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (+.f64 (.f64 -1 (/.f64 (pow.f64 x 4) (pow.f64 y 4))) (+.f64 (/.f64 x y) (/.f64 (pow.f64 x 3) (pow.f64 y 3)))))
1
(+.f64 1 (/.f64 x y))
(+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (+.f64 1 (/.f64 x y)))
(+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (+.f64 1 (+.f64 (/.f64 x y) (/.f64 (pow.f64 x 3) (pow.f64 y 3)))))
2
(+.f64 2 (*.f64 -1 (/.f64 y x)))
(+.f64 2 (+.f64 (/.f64 (pow.f64 y 2) (pow.f64 x 2)) (*.f64 -1 (/.f64 y x))))
(+.f64 2 (+.f64 (/.f64 (pow.f64 y 2) (pow.f64 x 2)) (+.f64 (.f64 -1 (/.f64 (pow.f64 y 3) (pow.f64 x 3))) (.f64 -1 (/.f64 y x)))))
2
(+.f64 2 (*.f64 -1 (/.f64 y x)))
(+.f64 2 (+.f64 (/.f64 (pow.f64 y 2) (pow.f64 x 2)) (*.f64 -1 (/.f64 y x))))
(+.f64 2 (+.f64 (/.f64 (pow.f64 y 2) (pow.f64 x 2)) (+.f64 (.f64 -1 (/.f64 (pow.f64 y 3) (pow.f64 x 3))) (.f64 -1 (/.f64 y x)))))
2
(+.f64 2 (*.f64 -1 (/.f64 y x)))
(+.f64 2 (+.f64 (/.f64 (pow.f64 y 2) (pow.f64 x 2)) (*.f64 -1 (/.f64 y x))))
(+.f64 2 (+.f64 (/.f64 (pow.f64 y 2) (pow.f64 x 2)) (+.f64 (.f64 -1 (/.f64 (pow.f64 y 3) (pow.f64 x 3))) (.f64 -1 (/.f64 y x)))))
1
(+.f64 1 (/.f64 x y))
(+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (+.f64 1 (/.f64 x y)))
(+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (+.f64 1 (+.f64 (/.f64 x y) (/.f64 (pow.f64 x 3) (pow.f64 y 3)))))
1
(+.f64 1 (/.f64 x y))
(+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (+.f64 1 (/.f64 x y)))
(+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (+.f64 1 (+.f64 (/.f64 x y) (/.f64 (pow.f64 x 3) (pow.f64 y 3)))))

Outputs
(/.f64 x y)
(+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (/.f64 x y))
(fma.f64 -1 (/.f64 (.f64 x x) (.f64 y y)) (/.f64 x y))
(-.f64 (/.f64 x y) (*.f64 (/.f64 x y) (/.f64 x y)))
(*.f64 (+.f64 (/.f64 (neg.f64 x) y) 1) (/.f64 x y))
(+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (+.f64 (/.f64 x y) (/.f64 (pow.f64 x 3) (pow.f64 y 3))))
(fma.f64 -1 (/.f64 (.f64 x x) (.f64 y y)) (+.f64 (/.f64 x y) (/.f64 (pow.f64 x 3) (pow.f64 y 3))))
(+.f64 (-.f64 (/.f64 x y) (*.f64 (/.f64 x y) (/.f64 x y))) (/.f64 (pow.f64 x 3) (pow.f64 y 3)))
(+.f64 (/.f64 x y) (-.f64 (pow.f64 (/.f64 x y) 3) (*.f64 (/.f64 x y) (/.f64 x y))))
(+.f64 (*.f64 (+.f64 (/.f64 (neg.f64 x) y) 1) (/.f64 x y)) (pow.f64 (/.f64 x y) 3))
(+.f64 (.f64 -1 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (+.f64 (.f64 -1 (/.f64 (pow.f64 x 4) (pow.f64 y 4))) (+.f64 (/.f64 x y) (/.f64 (pow.f64 x 3) (pow.f64 y 3)))))
(fma.f64 -1 (/.f64 (.f64 x x) (.f64 y y)) (fma.f64 -1 (/.f64 (pow.f64 x 4) (pow.f64 y 4)) (+.f64 (/.f64 x y) (/.f64 (pow.f64 x 3) (pow.f64 y 3)))))
(-.f64 (-.f64 (+.f64 (/.f64 x y) (/.f64 (pow.f64 x 3) (pow.f64 y 3))) (/.f64 (pow.f64 x 4) (pow.f64 y 4))) (*.f64 (/.f64 x y) (/.f64 x y)))
(-.f64 (+.f64 (/.f64 x y) (pow.f64 (/.f64 x y) 3)) (fma.f64 (/.f64 x y) (/.f64 x y) (/.f64 (pow.f64 x 4) (pow.f64 y 4))))
(.f64 (+.f64 (.f64 (/.f64 x y) (/.f64 x y)) 1) (*.f64 (+.f64 (/.f64 (neg.f64 x) y) 1) (/.f64 x y)))
1
(+.f64 1 (*.f64 -1 (/.f64 y x)))
(+.f64 1 (neg.f64 (/.f64 y x)))
(-.f64 1 (/.f64 y x))
(+.f64 1 (+.f64 (/.f64 (pow.f64 y 2) (pow.f64 x 2)) (*.f64 -1 (/.f64 y x))))
(+.f64 1 (+.f64 (neg.f64 (/.f64 y x)) (/.f64 (.f64 y y) (.f64 x x))))
(+.f64 (-.f64 1 (/.f64 y x)) (*.f64 (/.f64 y x) (/.f64 y x)))
(+.f64 1 (*.f64 (/.f64 y x) (+.f64 -1 (/.f64 y x))))
(+.f64 1 (+.f64 (/.f64 (pow.f64 y 2) (pow.f64 x 2)) (+.f64 (.f64 -1 (/.f64 (pow.f64 y 3) (pow.f64 x 3))) (.f64 -1 (/.f64 y x)))))
(+.f64 1 (+.f64 (/.f64 (.f64 y y) (.f64 x x)) (fma.f64 -1 (/.f64 (pow.f64 y 3) (pow.f64 x 3)) (neg.f64 (/.f64 y x)))))
(+.f64 1 (-.f64 (-.f64 (*.f64 (/.f64 y x) (/.f64 y x)) (/.f64 (pow.f64 y 3) (pow.f64 x 3))) (/.f64 y x)))
(-.f64 (+.f64 1 (*.f64 (/.f64 y x) (+.f64 -1 (/.f64 y x)))) (pow.f64 (/.f64 y x) 3))
(+.f64 1 (-.f64 (*.f64 (/.f64 y x) (+.f64 -1 (/.f64 y x))) (pow.f64 (/.f64 y x) 3)))
1
(+.f64 1 (*.f64 -1 (/.f64 y x)))
(+.f64 1 (neg.f64 (/.f64 y x)))
(-.f64 1 (/.f64 y x))
(+.f64 1 (+.f64 (/.f64 (pow.f64 y 2) (pow.f64 x 2)) (*.f64 -1 (/.f64 y x))))
(+.f64 1 (+.f64 (neg.f64 (/.f64 y x)) (/.f64 (.f64 y y) (.f64 x x))))
(+.f64 (-.f64 1 (/.f64 y x)) (*.f64 (/.f64 y x) (/.f64 y x)))
(+.f64 1 (*.f64 (/.f64 y x) (+.f64 -1 (/.f64 y x))))
(+.f64 1 (+.f64 (/.f64 (pow.f64 y 2) (pow.f64 x 2)) (+.f64 (.f64 -1 (/.f64 (pow.f64 y 3) (pow.f64 x 3))) (.f64 -1 (/.f64 y x)))))
(+.f64 1 (+.f64 (/.f64 (.f64 y y) (.f64 x x)) (fma.f64 -1 (/.f64 (pow.f64 y 3) (pow.f64 x 3)) (neg.f64 (/.f64 y x)))))
(+.f64 1 (-.f64 (-.f64 (*.f64 (/.f64 y x) (/.f64 y x)) (/.f64 (pow.f64 y 3) (pow.f64 x 3))) (/.f64 y x)))
(-.f64 (+.f64 1 (*.f64 (/.f64 y x) (+.f64 -1 (/.f64 y x)))) (pow.f64 (/.f64 y x) 3))
(+.f64 1 (-.f64 (*.f64 (/.f64 y x) (+.f64 -1 (/.f64 y x))) (pow.f64 (/.f64 y x) 3)))
1
(+.f64 1 (*.f64 -1 (/.f64 y x)))
(+.f64 1 (neg.f64 (/.f64 y x)))
(-.f64 1 (/.f64 y x))
(+.f64 1 (+.f64 (/.f64 (pow.f64 y 2) (pow.f64 x 2)) (*.f64 -1 (/.f64 y x))))
(+.f64 1 (+.f64 (neg.f64 (/.f64 y x)) (/.f64 (.f64 y y) (.f64 x x))))
(+.f64 (-.f64 1 (/.f64 y x)) (*.f64 (/.f64 y x) (/.f64 y x)))
(+.f64 1 (*.f64 (/.f64 y x) (+.f64 -1 (/.f64 y x))))
(+.f64 1 (+.f64 (/.f64 (pow.f64 y 2) (pow.f64 x 2)) (+.f64 (.f64 -1 (/.f64 (pow.f64 y 3) (pow.f64 x 3))) (.f64 -1 (/.f64 y x)))))
(+.f64 1 (+.f64 (/.f64 (.f64 y y) (.f64 x x)) (fma.f64 -1 (/.f64 (pow.f64 y 3) (pow.f64 x 3)) (neg.f64 (/.f64 y x)))))
(+.f64 1 (-.f64 (-.f64 (*.f64 (/.f64 y x) (/.f64 y x)) (/.f64 (pow.f64 y 3) (pow.f64 x 3))) (/.f64 y x)))
(-.f64 (+.f64 1 (*.f64 (/.f64 y x) (+.f64 -1 (/.f64 y x)))) (pow.f64 (/.f64 y x) 3))
(+.f64 1 (-.f64 (*.f64 (/.f64 y x) (+.f64 -1 (/.f64 y x))) (pow.f64 (/.f64 y x) 3)))
(/.f64 x y)
(+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (/.f64 x y))
(fma.f64 -1 (/.f64 (.f64 x x) (.f64 y y)) (/.f64 x y))
(-.f64 (/.f64 x y) (*.f64 (/.f64 x y) (/.f64 x y)))
(*.f64 (+.f64 (/.f64 (neg.f64 x) y) 1) (/.f64 x y))
(+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (+.f64 (/.f64 x y) (/.f64 (pow.f64 x 3) (pow.f64 y 3))))
(fma.f64 -1 (/.f64 (.f64 x x) (.f64 y y)) (+.f64 (/.f64 x y) (/.f64 (pow.f64 x 3) (pow.f64 y 3))))
(+.f64 (-.f64 (/.f64 x y) (*.f64 (/.f64 x y) (/.f64 x y))) (/.f64 (pow.f64 x 3) (pow.f64 y 3)))
(+.f64 (/.f64 x y) (-.f64 (pow.f64 (/.f64 x y) 3) (*.f64 (/.f64 x y) (/.f64 x y))))
(+.f64 (*.f64 (+.f64 (/.f64 (neg.f64 x) y) 1) (/.f64 x y)) (pow.f64 (/.f64 x y) 3))
(+.f64 (.f64 -1 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (+.f64 (.f64 -1 (/.f64 (pow.f64 x 4) (pow.f64 y 4))) (+.f64 (/.f64 x y) (/.f64 (pow.f64 x 3) (pow.f64 y 3)))))
(fma.f64 -1 (/.f64 (.f64 x x) (.f64 y y)) (fma.f64 -1 (/.f64 (pow.f64 x 4) (pow.f64 y 4)) (+.f64 (/.f64 x y) (/.f64 (pow.f64 x 3) (pow.f64 y 3)))))
(-.f64 (-.f64 (+.f64 (/.f64 x y) (/.f64 (pow.f64 x 3) (pow.f64 y 3))) (/.f64 (pow.f64 x 4) (pow.f64 y 4))) (*.f64 (/.f64 x y) (/.f64 x y)))
(-.f64 (+.f64 (/.f64 x y) (pow.f64 (/.f64 x y) 3)) (fma.f64 (/.f64 x y) (/.f64 x y) (/.f64 (pow.f64 x 4) (pow.f64 y 4))))
(.f64 (+.f64 (.f64 (/.f64 x y) (/.f64 x y)) 1) (*.f64 (+.f64 (/.f64 (neg.f64 x) y) 1) (/.f64 x y)))
(/.f64 x y)
(+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (/.f64 x y))
(fma.f64 -1 (/.f64 (.f64 x x) (.f64 y y)) (/.f64 x y))
(-.f64 (/.f64 x y) (*.f64 (/.f64 x y) (/.f64 x y)))
(*.f64 (+.f64 (/.f64 (neg.f64 x) y) 1) (/.f64 x y))
(+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (+.f64 (/.f64 x y) (/.f64 (pow.f64 x 3) (pow.f64 y 3))))
(fma.f64 -1 (/.f64 (.f64 x x) (.f64 y y)) (+.f64 (/.f64 x y) (/.f64 (pow.f64 x 3) (pow.f64 y 3))))
(+.f64 (-.f64 (/.f64 x y) (*.f64 (/.f64 x y) (/.f64 x y))) (/.f64 (pow.f64 x 3) (pow.f64 y 3)))
(+.f64 (/.f64 x y) (-.f64 (pow.f64 (/.f64 x y) 3) (*.f64 (/.f64 x y) (/.f64 x y))))
(+.f64 (*.f64 (+.f64 (/.f64 (neg.f64 x) y) 1) (/.f64 x y)) (pow.f64 (/.f64 x y) 3))
(+.f64 (.f64 -1 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (+.f64 (.f64 -1 (/.f64 (pow.f64 x 4) (pow.f64 y 4))) (+.f64 (/.f64 x y) (/.f64 (pow.f64 x 3) (pow.f64 y 3)))))
(fma.f64 -1 (/.f64 (.f64 x x) (.f64 y y)) (fma.f64 -1 (/.f64 (pow.f64 x 4) (pow.f64 y 4)) (+.f64 (/.f64 x y) (/.f64 (pow.f64 x 3) (pow.f64 y 3)))))
(-.f64 (-.f64 (+.f64 (/.f64 x y) (/.f64 (pow.f64 x 3) (pow.f64 y 3))) (/.f64 (pow.f64 x 4) (pow.f64 y 4))) (*.f64 (/.f64 x y) (/.f64 x y)))
(-.f64 (+.f64 (/.f64 x y) (pow.f64 (/.f64 x y) 3)) (fma.f64 (/.f64 x y) (/.f64 x y) (/.f64 (pow.f64 x 4) (pow.f64 y 4))))
(.f64 (+.f64 (.f64 (/.f64 x y) (/.f64 x y)) 1) (*.f64 (+.f64 (/.f64 (neg.f64 x) y) 1) (/.f64 x y)))
1
(+.f64 1 (/.f64 x y))
(+.f64 (/.f64 x y) 1)
(+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (+.f64 1 (/.f64 x y)))
(fma.f64 -1 (/.f64 (.f64 x x) (.f64 y y)) (+.f64 (/.f64 x y) 1))
(+.f64 (-.f64 (/.f64 x y) (*.f64 (/.f64 x y) (/.f64 x y))) 1)
(-.f64 (/.f64 x y) (fma.f64 (/.f64 x y) (/.f64 x y) -1))
(+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (+.f64 1 (+.f64 (/.f64 x y) (/.f64 (pow.f64 x 3) (pow.f64 y 3)))))
(fma.f64 -1 (/.f64 (.f64 x x) (.f64 y y)) (+.f64 (+.f64 (/.f64 x y) (/.f64 (pow.f64 x 3) (pow.f64 y 3))) 1))
(+.f64 (+.f64 (-.f64 (/.f64 x y) (*.f64 (/.f64 x y) (/.f64 x y))) (/.f64 (pow.f64 x 3) (pow.f64 y 3))) 1)
(+.f64 (/.f64 x y) (-.f64 (+.f64 (pow.f64 (/.f64 x y) 3) 1) (*.f64 (/.f64 x y) (/.f64 x y))))
(-.f64 (+.f64 (/.f64 x y) (pow.f64 (/.f64 x y) 3)) (fma.f64 (/.f64 x y) (/.f64 x y) -1))
2
(+.f64 2 (*.f64 -1 (/.f64 y x)))
(+.f64 2 (neg.f64 (/.f64 y x)))
(-.f64 2 (/.f64 y x))
(+.f64 2 (+.f64 (/.f64 (pow.f64 y 2) (pow.f64 x 2)) (*.f64 -1 (/.f64 y x))))
(+.f64 2 (+.f64 (neg.f64 (/.f64 y x)) (/.f64 (.f64 y y) (.f64 x x))))
(+.f64 (*.f64 (/.f64 y x) (/.f64 y x)) (-.f64 2 (/.f64 y x)))
(+.f64 2 (*.f64 (/.f64 y x) (+.f64 -1 (/.f64 y x))))
(+.f64 2 (+.f64 (/.f64 (pow.f64 y 2) (pow.f64 x 2)) (+.f64 (.f64 -1 (/.f64 (pow.f64 y 3) (pow.f64 x 3))) (.f64 -1 (/.f64 y x)))))
(+.f64 2 (+.f64 (/.f64 (.f64 y y) (.f64 x x)) (fma.f64 -1 (/.f64 (pow.f64 y 3) (pow.f64 x 3)) (neg.f64 (/.f64 y x)))))
(+.f64 2 (-.f64 (-.f64 (*.f64 (/.f64 y x) (/.f64 y x)) (/.f64 (pow.f64 y 3) (pow.f64 x 3))) (/.f64 y x)))
(+.f64 2 (-.f64 (*.f64 (/.f64 y x) (+.f64 -1 (/.f64 y x))) (pow.f64 (/.f64 y x) 3)))
2
(+.f64 2 (*.f64 -1 (/.f64 y x)))
(+.f64 2 (neg.f64 (/.f64 y x)))
(-.f64 2 (/.f64 y x))
(+.f64 2 (+.f64 (/.f64 (pow.f64 y 2) (pow.f64 x 2)) (*.f64 -1 (/.f64 y x))))
(+.f64 2 (+.f64 (neg.f64 (/.f64 y x)) (/.f64 (.f64 y y) (.f64 x x))))
(+.f64 (*.f64 (/.f64 y x) (/.f64 y x)) (-.f64 2 (/.f64 y x)))
(+.f64 2 (*.f64 (/.f64 y x) (+.f64 -1 (/.f64 y x))))
(+.f64 2 (+.f64 (/.f64 (pow.f64 y 2) (pow.f64 x 2)) (+.f64 (.f64 -1 (/.f64 (pow.f64 y 3) (pow.f64 x 3))) (.f64 -1 (/.f64 y x)))))
(+.f64 2 (+.f64 (/.f64 (.f64 y y) (.f64 x x)) (fma.f64 -1 (/.f64 (pow.f64 y 3) (pow.f64 x 3)) (neg.f64 (/.f64 y x)))))
(+.f64 2 (-.f64 (-.f64 (*.f64 (/.f64 y x) (/.f64 y x)) (/.f64 (pow.f64 y 3) (pow.f64 x 3))) (/.f64 y x)))
(+.f64 2 (-.f64 (*.f64 (/.f64 y x) (+.f64 -1 (/.f64 y x))) (pow.f64 (/.f64 y x) 3)))
2
(+.f64 2 (*.f64 -1 (/.f64 y x)))
(+.f64 2 (neg.f64 (/.f64 y x)))
(-.f64 2 (/.f64 y x))
(+.f64 2 (+.f64 (/.f64 (pow.f64 y 2) (pow.f64 x 2)) (*.f64 -1 (/.f64 y x))))
(+.f64 2 (+.f64 (neg.f64 (/.f64 y x)) (/.f64 (.f64 y y) (.f64 x x))))
(+.f64 (*.f64 (/.f64 y x) (/.f64 y x)) (-.f64 2 (/.f64 y x)))
(+.f64 2 (*.f64 (/.f64 y x) (+.f64 -1 (/.f64 y x))))
(+.f64 2 (+.f64 (/.f64 (pow.f64 y 2) (pow.f64 x 2)) (+.f64 (.f64 -1 (/.f64 (pow.f64 y 3) (pow.f64 x 3))) (.f64 -1 (/.f64 y x)))))
(+.f64 2 (+.f64 (/.f64 (.f64 y y) (.f64 x x)) (fma.f64 -1 (/.f64 (pow.f64 y 3) (pow.f64 x 3)) (neg.f64 (/.f64 y x)))))
(+.f64 2 (-.f64 (-.f64 (*.f64 (/.f64 y x) (/.f64 y x)) (/.f64 (pow.f64 y 3) (pow.f64 x 3))) (/.f64 y x)))
(+.f64 2 (-.f64 (*.f64 (/.f64 y x) (+.f64 -1 (/.f64 y x))) (pow.f64 (/.f64 y x) 3)))
1
(+.f64 1 (/.f64 x y))
(+.f64 (/.f64 x y) 1)
(+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (+.f64 1 (/.f64 x y)))
(fma.f64 -1 (/.f64 (.f64 x x) (.f64 y y)) (+.f64 (/.f64 x y) 1))
(+.f64 (-.f64 (/.f64 x y) (*.f64 (/.f64 x y) (/.f64 x y))) 1)
(-.f64 (/.f64 x y) (fma.f64 (/.f64 x y) (/.f64 x y) -1))
(+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (+.f64 1 (+.f64 (/.f64 x y) (/.f64 (pow.f64 x 3) (pow.f64 y 3)))))
(fma.f64 -1 (/.f64 (.f64 x x) (.f64 y y)) (+.f64 (+.f64 (/.f64 x y) (/.f64 (pow.f64 x 3) (pow.f64 y 3))) 1))
(+.f64 (+.f64 (-.f64 (/.f64 x y) (*.f64 (/.f64 x y) (/.f64 x y))) (/.f64 (pow.f64 x 3) (pow.f64 y 3))) 1)
(+.f64 (/.f64 x y) (-.f64 (+.f64 (pow.f64 (/.f64 x y) 3) 1) (*.f64 (/.f64 x y) (/.f64 x y))))
(-.f64 (+.f64 (/.f64 x y) (pow.f64 (/.f64 x y) 3)) (fma.f64 (/.f64 x y) (/.f64 x y) -1))
1
(+.f64 1 (/.f64 x y))
(+.f64 (/.f64 x y) 1)
(+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (+.f64 1 (/.f64 x y)))
(fma.f64 -1 (/.f64 (.f64 x x) (.f64 y y)) (+.f64 (/.f64 x y) 1))
(+.f64 (-.f64 (/.f64 x y) (*.f64 (/.f64 x y) (/.f64 x y))) 1)
(-.f64 (/.f64 x y) (fma.f64 (/.f64 x y) (/.f64 x y) -1))
(+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (+.f64 1 (+.f64 (/.f64 x y) (/.f64 (pow.f64 x 3) (pow.f64 y 3)))))
(fma.f64 -1 (/.f64 (.f64 x x) (.f64 y y)) (+.f64 (+.f64 (/.f64 x y) (/.f64 (pow.f64 x 3) (pow.f64 y 3))) 1))
(+.f64 (+.f64 (-.f64 (/.f64 x y) (*.f64 (/.f64 x y) (/.f64 x y))) (/.f64 (pow.f64 x 3) (pow.f64 y 3))) 1)
(+.f64 (/.f64 x y) (-.f64 (+.f64 (pow.f64 (/.f64 x y) 3) 1) (*.f64 (/.f64 x y) (/.f64 x y))))
(-.f64 (+.f64 (/.f64 x y) (pow.f64 (/.f64 x y) 3)) (fma.f64 (/.f64 x y) (/.f64 x y) -1))

localize28.0ms (1%)

Compiler: Compiled 7 to 3 computations (57.1% saved)

eval155.0ms (5.8%)

Compiler: Compiled 7184 to 3630 computations (49.5% saved)

prune98.0ms (3.7%)

Pruning

6 alts after pruning (1 fresh and 5 done)

	Pruned	Kept	Total
New	454	1	455
Fresh	1	0	1
Picked	0	1	1
Done	0	4	4
Total	455	6	461

Error

Counts

461 → 6

Alt Table

Click to see full alt table

Status	Error	Program
✓	32.0b	(-.f64 1 (/.f64 y x))
	31.4b	1
✓	22.0b	(-.f64 (+.f64 1 (/.f64 x (+.f64 x y))) 1)
✓	13.0b	(cbrt.f64 (pow.f64 (/.f64 x (+.f64 x y)) 3))
✓	0.0b	(/.f64 x (+.f64 x y))
✓	32.0b	(/.f64 x y)

Compiler

Compiled 43 to 30 computations (30.2% saved)

eval0.0ms (0%)

Compiler: Compiled 2 to 2 computations (0% saved)

prune2.0ms (0.1%)

Pruning

6 alts after pruning (1 fresh and 5 done)

	Kept	Total
New	0	0
Fresh	1	1
Picked	0	0
Done	5	5
Total	6	6

Error

Counts

6 → 6

Alt Table

Click to see full alt table

Status	Error	Program
✓	32.0b	(-.f64 1 (/.f64 y x))
	31.4b	1
✓	22.0b	(-.f64 (+.f64 1 (/.f64 x (+.f64 x y))) 1)
✓	13.0b	(cbrt.f64 (pow.f64 (/.f64 x (+.f64 x y)) 3))
✓	0.0b	(/.f64 x (+.f64 x y))
✓	32.0b	(/.f64 x y)

Compiler

Compiled 43 to 30 computations (30.2% saved)

eval0.0ms (0%)

Compiler: Compiled 2 to 2 computations (0% saved)

prune3.0ms (0.1%)

Pruning

6 alts after pruning (1 fresh and 5 done)

	Kept	Total
New	0	0
Fresh	1	1
Picked	0	0
Done	5	5
Total	6	6

Error

Counts

6 → 6

Alt Table

Click to see full alt table

Status	Error	Program
✓	32.0b	(-.f64 1 (/.f64 y x))
	31.4b	1
✓	22.0b	(-.f64 (+.f64 1 (/.f64 x (+.f64 x y))) 1)
✓	13.0b	(cbrt.f64 (pow.f64 (/.f64 x (+.f64 x y)) 3))
✓	0.0b	(/.f64 x (+.f64 x y))
✓	32.0b	(/.f64 x y)

Compiler

Compiled 43 to 30 computations (30.2% saved)

regimes17.0ms (0.6%)

Counts

7 → 1

Calls

Call 1

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

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

Calls

3 calls:

6.0ms	y
5.0ms	x
4.0ms	(/.f64 x (+.f64 x y))

Results

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

Compiler

Compiled 47 to 25 computations (46.8% saved)

regimes54.0ms (2%)

Counts

4 → 5

Calls

Call 1

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

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

Calls

2 calls:

41.0ms	x
12.0ms	y

Results

Error	Segments	Branch
13.7b	5	`x`
14.2b	3	`y`

Compiler

Compiled 18 to 12 computations (33.3% saved)

bsearch85.0ms (3.2%)

Algorithm

4×	binary-search

Steps

Time	Left	Right
26.0ms	4.6199520560696063e+110	8.18018383475335e+114
16.0ms	8.53405953674689e+30	1.0471887890409774e+34
29.0ms	3.9445262602693785e-58	2.5062788572663203e-55
15.0ms	-1.7095870548394814e+50	-2.4079279209739505e+39

Compiler

Compiled 12 to 8 computations (33.3% saved)

regimes64.0ms (2.4%)

Counts

3 → 5

Calls

Call 1

Inputs
1
1
(/.f64 x y)

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

Calls

2 calls:

40.0ms	x
21.0ms	y

Results

Error	Segments	Branch
13.7b	5	`x`
14.2b	3	`y`

Compiler

Compiled 13 to 9 computations (30.8% saved)

bsearch133.0ms (5%)

Algorithm

4×	binary-search

Steps

Time	Left	Right
26.0ms	4.6199520560696063e+110	8.18018383475335e+114
56.0ms	8.53405953674689e+30	1.0471887890409774e+34
25.0ms	3.9445262602693785e-58	2.5062788572663203e-55
26.0ms	-1.7095870548394814e+50	-2.4079279209739505e+39

Compiler

Compiled 12 to 8 computations (33.3% saved)

regimes16.0ms (0.6%)

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0.0b (-0%)

Counts

2 → 1

Calls

Call 1

Inputs
1
1

Outputs
1

Calls

2 calls:

8.0ms	y
7.0ms	x

Results

Error	Segments	Branch
31.4b	1	`x`
31.4b	1	`y`

Compiler

Compiled 10 to 8 computations (20% saved)

simplify13.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

4×	`+-commutative_binary64`
3×	`sub-neg_binary64`
2×	`*-commutative_binary64`
2×	`neg-sub0_binary64`
2×	`neg-mul-1_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	25	84
1	30	84
2	36	84
3	40	84
4	43	84
5	44	84

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(/.f64 x (+.f64 x y))
(if (<=.f64 x -170958705483948142946874316035987258262211335815168) 1 (if (<=.f64 x 5575499715918567/14134776518227074636666380005943348126619871175004951664972849610340958208) (/.f64 x y) (if (<=.f64 x 8534059536746890473636955684864) (-.f64 1 (/.f64 y x)) (if (<=.f64 x 461995205606960633683487457025113819471913319323812809788865798065940315088072351994488188736813129229133676544) (/.f64 x y) 1))))
(if (<=.f64 x -170958705483948142946874316035987258262211335815168) 1 (if (<=.f64 x 5575499715918567/14134776518227074636666380005943348126619871175004951664972849610340958208) (/.f64 x y) (if (<=.f64 x 8534059536746890473636955684864) 1 (if (<=.f64 x 461995205606960633683487457025113819471913319323812809788865798065940315088072351994488188736813129229133676544) (/.f64 x y) 1))))
1

Outputs
(/.f64 x (+.f64 x y))
(if (<=.f64 x -170958705483948142946874316035987258262211335815168) 1 (if (<=.f64 x 5575499715918567/14134776518227074636666380005943348126619871175004951664972849610340958208) (/.f64 x y) (if (<=.f64 x 8534059536746890473636955684864) (-.f64 1 (/.f64 y x)) (if (<=.f64 x 461995205606960633683487457025113819471913319323812809788865798065940315088072351994488188736813129229133676544) (/.f64 x y) 1))))
(if (<=.f64 x -170958705483948142946874316035987258262211335815168) 1 (if (<=.f64 x 5575499715918567/14134776518227074636666380005943348126619871175004951664972849610340958208) (/.f64 x y) (if (<=.f64 x 8534059536746890473636955684864) 1 (if (<=.f64 x 461995205606960633683487457025113819471913319323812809788865798065940315088072351994488188736813129229133676544) (/.f64 x y) 1))))
1

Compiler

Compiled 68 to 45 computations (33.8% saved)

soundness0.0ms (0%)

end71.0ms (2.6%)

Compiler: Compiled 62 to 38 computations (38.7% saved)

Iter	Nodes	Cost
0	8	183
1	15	147
2	24	147
3	33	147
4	44	147
5	59	147
6	74	147
7	91	147
8	102	147
9	116	147

Iter	Nodes	Cost
0	8	183
1	15	147
2	24	147
3	33	147
4	44	147
5	59	147
6	74	147
7	91	147
8	102	147
9	116	147

Details

analyze77.0ms (2.9%)

sample1.1s (40.6%)

preprocess16.0ms (0.6%)

simplify7.0ms (0.3%)

eval0.0ms (0%)

prune1.0ms (0%)

localize5.0ms (0.2%)

series51.0ms (1.9%)

rewrite55.0ms (2.1%)

simplify69.0ms (2.6%)

eval9.0ms (0.4%)

prune11.0ms (0.4%)

localize10.0ms (0.4%)

series8.0ms (0.3%)

rewrite147.0ms (5.5%)

simplify68.0ms (2.5%)

localize5.0ms (0.2%)

series3.0ms (0.1%)

rewrite142.0ms (5.3%)

simplify18.0ms (0.7%)

localize11.0ms (0.4%)

series4.0ms (0.2%)

rewrite76.0ms (2.8%)

simplify57.0ms (2.1%)

localize28.0ms (1%)

eval155.0ms (5.8%)

prune98.0ms (3.7%)

eval0.0ms (0%)

prune2.0ms (0.1%)

eval0.0ms (0%)

prune3.0ms (0.1%)

regimes17.0ms (0.6%)

regimes54.0ms (2%)

bsearch85.0ms (3.2%)

regimes64.0ms (2.4%)

bsearch133.0ms (5%)

regimes16.0ms (0.6%)

simplify13.0ms (0.5%)

soundness0.0ms (0%)

end71.0ms (2.6%)

Profiling

Iter	Nodes	Cost
0	8	183
1	15	147
2	24	147
3	33	147
4	44	147
5	59	147
6	74	147
7	91	147
8	102	147
9	116	147