Details

analyze90.0ms (2.2%)

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)

sample1.4s (34.2%)

Results

1.4s

8256×

body

256

valid

Bogosity

preprocess33.0ms (0.8%)

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

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

Compiler

Compiled 9 to 6 computations (33.3% saved)

simplify15.0ms (0.4%)

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 → 2

Calls

Call 1

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

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

eval1.0ms (0%)

Compiler: Compiled 12 to 6 computations (50% saved)

prune2.0ms (0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

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

Error

0.0b

Counts

3 → 1

Alt Table

Click to see full alt table

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

Compiler

Compiled 7 to 4 computations (42.9% saved)

localize12.0ms (0.3%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 12 to 4 computations (66.7% saved)

series7.0ms (0.2%)

Counts

1 → 24

Calls

6 calls:

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

rewrite88.0ms (2.1%)

Algorithm

1×	batch-egg-rewrite

Rules

711×	`pow1_binary64`
664×	`add-log-exp_binary64`
664×	`log1p-expm1-u_binary64`
664×	`expm1-log1p-u_binary64`
649×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	7
1	115	7
2	1758	7

Stop Event

1×	node limit

Counts

1 → 33

Calls

Call 1

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

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

simplify64.0ms (1.6%)

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)))

eval41.0ms (1%)

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

prune16.0ms (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
▶	24.6b	(-.f64 (+.f64 1 (/.f64 x (+.f64 x y))) 1)
✓	0.0b	(/.f64 x (+.f64 y x))
▶	27.2b	(/.f64 x y)
▶	36.2b	(-.f64 1 (/.f64 y x))
	35.5b	1
▶	27.4b	(fma.f64 (*.f64 (/.f64 x y) (/.f64 x y)) (+.f64 (/.f64 x y) -1) (/.f64 x y))

Compiler

Compiled 51 to 30 computations (41.2% saved)

localize10.0ms (0.2%)

Compiler: Compiled 13 to 6 computations (53.8% saved)

localize45.0ms (1.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(/.f64 x (+.f64 x y))
✓	1.3b	(-.f64 (+.f64 1 (/.f64 x (+.f64 x y))) 1)

Compiler

Compiled 29 to 11 computations (62.1% saved)

series4.0ms (0.1%)

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	y	@	inf	(-.f64 (+.f64 1 (/.f64 x (+.f64 x y))) 1)
0.0ms	x	@	inf	(-.f64 (+.f64 1 (/.f64 x (+.f64 x y))) 1)
0.0ms	y	@	-inf	(-.f64 (+.f64 1 (/.f64 x (+.f64 x y))) 1)

rewrite117.0ms (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	26
1	190	14
2	2974	14

Stop Event

1×	node limit

Counts

2 → 195

Calls

Call 1

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

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

simplify102.0ms (2.5%)

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	942
1	104	876
2	317	774
3	1351	690

Stop Event

1×	node limit

Counts

243 → 123

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

localize3.0ms (0.1%)

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

localize10.0ms (0.3%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(fma.f64 (*.f64 (/.f64 x y) (/.f64 x y)) (+.f64 (/.f64 x y) -1) (/.f64 x y))
✓	0.2b	(*.f64 (/.f64 x y) (/.f64 x y))

Compiler

Compiled 36 to 10 computations (72.2% saved)

series93.0ms (2.2%)

Counts

2 → 48

Calls

12 calls:

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

rewrite71.0ms (1.7%)

Algorithm

1×	batch-egg-rewrite

Rules

989×	`pow1_binary64`
922×	`log1p-expm1-u_binary64`
922×	`expm1-log1p-u_binary64`
921×	`add-log-exp_binary64`
91×	`add-sqr-sqrt_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	27
1	176	27
2	2489	27

Stop Event

1×	node limit

Counts

2 → 56

Calls

Call 1

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

Outputs

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

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

simplify90.0ms (2.2%)

Algorithm

1×	egg-herbie

Rules

532×	`difference-of-squares_binary64`
497×	`unswap-sqr_binary64`
393×	`times-frac_binary64`
386×	`cancel-sign-sub-inv_binary64`
369×	`fma-neg_binary64`

Iterations

Useful iterations: 5 (0.0ms)

Iter	Nodes	Cost
0	18	750
1	50	732
2	120	678
3	444	651
4	2713	639
5	6410	633

Stop Event

1×	node limit

Counts

104 → 67

Calls

Call 1

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

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

eval142.0ms (3.4%)

Compiler: Compiled 2990 to 1248 computations (58.3% saved)

prune79.0ms (1.9%)

Pruning

6 alts after pruning (2 fresh and 4 done)

	Pruned	Kept	Total
New	189	1	190
Fresh	0	1	1
Picked	1	0	1
Done	0	4	4
Total	190	6	196

Error

Counts

196 → 6

Alt Table

Click to see full alt table

Status	Error	Program
✓	24.6b	(-.f64 (+.f64 1 (/.f64 x (+.f64 x y))) 1)
✓	0.0b	(/.f64 x (+.f64 y x))
✓	27.2b	(/.f64 x y)
✓	36.2b	(-.f64 1 (/.f64 y x))
	35.5b	1
▶	27.4b	(+.f64 (/.f64 x y) (*.f64 (pow.f64 (/.f64 x y) 2) (+.f64 (/.f64 x y) -1)))

Compiler

Compiled 50 to 32 computations (36% saved)

localize114.0ms (2.8%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 (/.f64 x y) (*.f64 (pow.f64 (/.f64 x y) 2) (+.f64 (/.f64 x y) -1)))
✓	0.1b	(*.f64 (pow.f64 (/.f64 x y) 2) (+.f64 (/.f64 x y) -1))
✓	0.2b	(pow.f64 (/.f64 x y) 2)

Compiler

Compiled 45 to 20 computations (55.6% saved)

series32.0ms (0.8%)

Counts

3 → 72

Calls

18 calls:

Time	Variable		Point	Expression
13.0ms	y	@	-inf	(+.f64 (/.f64 x y) (*.f64 (pow.f64 (/.f64 x y) 2) (+.f64 (/.f64 x y) -1)))
3.0ms	y	@	-inf	(pow.f64 (/.f64 x y) 2)
1.0ms	x	@	0	(pow.f64 (/.f64 x y) 2)
1.0ms	x	@	inf	(pow.f64 (/.f64 x y) 2)
1.0ms	x	@	-inf	(pow.f64 (/.f64 x y) 2)

rewrite168.0ms (4.1%)

Algorithm

1×	batch-egg-rewrite

Rules

578×	`fma-def_binary64`
529×	`log-prod_binary64`
370×	`pow-prod-down_binary64`
357×	`fma-neg_binary64`
291×	`pow2_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	10	45
1	229	43
2	3231	43

Stop Event

1×	node limit

Counts

3 → 171

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (pow.f64 (/.f64 x y) 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (pow.f64 (/.f64 x y) 2))) 2)) (log.f64 (cbrt.f64 (exp.f64 (pow.f64 (/.f64 x y) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (/.f64 x y) 2)))) (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (/.f64 x y) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (pow.f64 (/.f64 x y) 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (pow.f64 (*.f64 y (/.f64 y x)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x y) (/.f64 x y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 x y) 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (pow.f64 (/.f64 x y) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x x) (pow.f64 y -2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 x y)) 4) (pow.f64 (cbrt.f64 (/.f64 x y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 x y)) 2) (pow.f64 (cbrt.f64 (/.f64 x y)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 x y)) (pow.f64 (/.f64 y x) -3/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 y x) -3/2) (sqrt.f64 (/.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 x y) x) (/.f64 1 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 x y) (pow.f64 (cbrt.f64 (/.f64 x y)) 2)) (cbrt.f64 (/.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 x (*.f64 (/.f64 y x) y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 x (*.f64 y (/.f64 y x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 x y) (/.f64 y x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (pow.f64 (/.f64 y x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x x) (*.f64 y y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 x) (*.f64 (/.f64 y x) (neg.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (neg.f64 x) 2) (pow.f64 (neg.f64 y) 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 x) x) (*.f64 (neg.f64 y) y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 x) 1) (*.f64 (neg.f64 y) (/.f64 y x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x (neg.f64 x)) (*.f64 y (neg.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x (/.f64 x y)) y)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 x) (/.f64 x y)) (neg.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 x y) x) y)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 x y) (neg.f64 x)) (neg.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 x y) 4))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 (/.f64 x y) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (pow.f64 (/.f64 x y) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 x y) 6))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 (/.f64 x y) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 (/.f64 x y) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (pow.f64 (/.f64 x y) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (pow.f64 (/.f64 x y) 2)) 1))))))

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

simplify125.0ms (3%)

Algorithm

1×	egg-herbie

Rules

532×	`difference-of-squares_binary64`
497×	`unswap-sqr_binary64`
393×	`times-frac_binary64`
386×	`cancel-sign-sub-inv_binary64`
369×	`fma-neg_binary64`

Iterations

Useful iterations: 5 (0.0ms)

Iter	Nodes	Cost
0	18	1230
1	50	1194
2	120	1077
3	443	1050
4	2705	1038
5	6406	1032

Stop Event

1×	node limit

Counts

243 → 184

Calls

Call 1

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

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

eval199.0ms (4.8%)

Compiler: Compiled 3983 to 1798 computations (54.9% saved)

prune119.0ms (2.9%)

Pruning

6 alts after pruning (2 fresh and 4 done)

	Pruned	Kept	Total
New	183	1	184
Fresh	0	1	1
Picked	1	0	1
Done	0	4	4
Total	184	6	190

Error

Counts

190 → 6

Alt Table

Click to see full alt table

Status	Error	Program
✓	24.6b	(-.f64 (+.f64 1 (/.f64 x (+.f64 x y))) 1)
✓	0.0b	(/.f64 x (+.f64 y x))
✓	27.2b	(/.f64 x y)
✓	36.2b	(-.f64 1 (/.f64 y x))
▶	27.5b	(+.f64 (/.f64 x y) (/.f64 (neg.f64 x) (/.f64 y (/.f64 x y))))
	35.5b	1

Compiler

Compiled 47 to 30 computations (36.2% saved)

localize19.0ms (0.4%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.2b	(/.f64 y (/.f64 x y))
✓	3.6b	(/.f64 (neg.f64 x) (/.f64 y (/.f64 x y)))
✓	4.0b	(+.f64 (/.f64 x y) (/.f64 (neg.f64 x) (/.f64 y (/.f64 x y))))

Compiler

Compiled 34 to 7 computations (79.4% saved)

series43.0ms (1.1%)

Counts

3 → 72

Calls

18 calls:

Time	Variable		Point	Expression
30.0ms	x	@	-inf	(+.f64 (/.f64 x y) (/.f64 (neg.f64 x) (/.f64 y (/.f64 x y))))
1.0ms	y	@	inf	(/.f64 y (/.f64 x y))
1.0ms	x	@	inf	(/.f64 (neg.f64 x) (/.f64 y (/.f64 x y)))
1.0ms	x	@	0	(+.f64 (/.f64 x y) (/.f64 (neg.f64 x) (/.f64 y (/.f64 x y))))
1.0ms	y	@	0	(/.f64 y (/.f64 x y))

rewrite193.0ms (4.7%)

Algorithm

1×	batch-egg-rewrite

Rules

533×	`log-prod_binary64`
400×	`fma-def_binary64`
375×	`fma-neg_binary64`
253×	`pow-unpow_binary64`
224×	`pow2_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	8	37
1	198	27
2	3933	27

Stop Event

1×	node limit

Counts

3 → 314

Calls

Call 1

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

Outputs

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-2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (/.f64 x y) (+.f64 1 (/.f64 x y)))) (cbrt.f64 (pow.f64 (hypot.f64 (/.f64 x y) (sqrt.f64 (/.f64 x y))) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (hypot.f64 (/.f64 x y) (sqrt.f64 (/.f64 x y))) 4)) (cbrt.f64 (*.f64 (/.f64 x y) (+.f64 1 (/.f64 x y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (hypot.f64 (/.f64 x y) (sqrt.f64 (/.f64 x y))) (hypot.f64 (/.f64 x y) (sqrt.f64 (/.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 x y (*.f64 x (*.f64 y (/.f64 y x)))) (/.f64 1 (*.f64 y (*.f64 y (/.f64 y x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 (/.f64 x y) 3) (pow.f64 (/.f64 x y) 6)) (/.f64 1 (-.f64 (pow.f64 (hypot.f64 (/.f64 x y) (sqrt.f64 (/.f64 x y))) 4) (pow.f64 (/.f64 x y) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 x y) (+.f64 1 (/.f64 x y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (sqrt.f64 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(#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x x) (pow.f64 (/.f64 1 y) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) (/.f64 x (*.f64 y y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 x y)) 4) (pow.f64 (cbrt.f64 (/.f64 x y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 x y)) 2) (pow.f64 (cbrt.f64 (/.f64 x y)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 x y)) 2) (*.f64 (cbrt.f64 (/.f64 x y)) (/.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (/.f64 x (*.f64 y y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 x y)) (*.f64 (sqrt.f64 (/.f64 x y)) (/.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x (*.f64 y y)) x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 y) (/.f64 x (/.f64 y x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (pow.f64 (/.f64 x y) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 x y) 3/2) (sqrt.f64 (/.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x 1) (/.f64 x (*.f64 y y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 x) 1) (/.f64 (sqrt.f64 x) (*.f64 y (/.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 x) y) (/.f64 (sqrt.f64 x) (/.f64 y x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 y (/.f64 y x))) -2) (/.f64 x (cbrt.f64 (*.f64 y (/.f64 y x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 (*.f64 y (/.f64 y x))) 2)) (/.f64 (sqrt.f64 x) (cbrt.f64 (*.f64 y (/.f64 y x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 y (/.f64 y x)) -1/2) (/.f64 x (sqrt.f64 (*.f64 y (/.f64 y x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 x) (/.f64 y x)) (/.f64 (sqrt.f64 x) y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) y) (/.f64 (cbrt.f64 x) (/.f64 y x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1 y) (/.f64 x (/.f64 y x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) 1) (/.f64 (cbrt.f64 x) (*.f64 y (/.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 (*.f64 y (/.f64 y x))) 2)) (pow.f64 (cbrt.f64 (/.f64 x y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1 (pow.f64 (cbrt.f64 (*.f64 y (/.f64 y x))) 2)) (/.f64 x (cbrt.f64 (*.f64 y (/.f64 y x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (sqrt.f64 (*.f64 y (/.f64 y x)))) (/.f64 (cbrt.f64 x) (sqrt.f64 (*.f64 y (/.f64 y x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1 (sqrt.f64 (*.f64 y (/.f64 y x)))) (/.f64 x (sqrt.f64 (*.f64 y (/.f64 y x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (/.f64 y x)) (/.f64 (cbrt.f64 x) y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 x y) x) (/.f64 1 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 x y) (pow.f64 (cbrt.f64 (/.f64 x y)) 2)) (cbrt.f64 (/.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 x y) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 x y) 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 x y) 4) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 x y)) 6)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (cbrt.f64 (/.f64 x y)) 2) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 x y)) 4)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 x y) 3) 2/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 x y) 6) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 x y) -2) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 y x) -2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (pow.f64 (/.f64 x y) -2) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (pow.f64 (/.f64 x y) 2))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 x y) 4))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 (/.f64 x y) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (pow.f64 (/.f64 x y) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (/.f64 1 (+.f64 1 (expm1.f64 (pow.f64 (/.f64 x y) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 x y) 6))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 (/.f64 x y) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 (/.f64 x y) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 2 (log.f64 (/.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 2 (log.f64 (/.f64 x y))) 1))))))

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

simplify112.0ms (2.7%)

Algorithm

1×	egg-herbie

Rules

625×	`associate-/l*_binary64`
404×	`associate-/r*_binary64`
361×	`associate-/l/_binary64`
329×	`unswap-sqr_binary64`
284×	`fma-neg_binary64`

Iterations

Useful iterations: 5 (0.0ms)

Iter	Nodes	Cost
0	12	810
1	26	792
2	54	792
3	158	774
4	772	756
5	4878	738

Stop Event

1×	node limit

Counts

386 → 319

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

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))
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(*.f64 (/.f64 x y) (-.f64 1 (/.f64 x y)))
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(-.f64 (/.f64 x y) (*.f64 (/.f64 x y) (/.f64 x y)))
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(*.f64 (/.f64 x y) (-.f64 1 (/.f64 x y)))
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(/.f64 y (/.f64 x y))
(*.f64 (/.f64 y x) y)
(*.f64 y (/.f64 y x))
(/.f64 (pow.f64 y 2) x)
(/.f64 (*.f64 y y) x)
(/.f64 y (/.f64 x y))
(*.f64 (/.f64 y x) y)
(*.f64 y (/.f64 y x))
(/.f64 (pow.f64 y 2) x)
(/.f64 (*.f64 y y) x)
(/.f64 y (/.f64 x y))
(*.f64 (/.f64 y x) y)
(*.f64 y (/.f64 y x))
(/.f64 (pow.f64 y 2) x)
(/.f64 (*.f64 y y) x)
(/.f64 y (/.f64 x y))
(*.f64 (/.f64 y x) y)
(*.f64 y (/.f64 y x))
(/.f64 (pow.f64 y 2) x)
(/.f64 (*.f64 y y) x)
(/.f64 y (/.f64 x y))
(*.f64 (/.f64 y x) y)
(*.f64 y (/.f64 y x))
(/.f64 (pow.f64 y 2) x)
(/.f64 (*.f64 y y) x)
(/.f64 y (/.f64 x y))
(*.f64 (/.f64 y x) y)
(*.f64 y (/.f64 y x))
(/.f64 (pow.f64 y 2) x)
(/.f64 (*.f64 y y) x)
(/.f64 y (/.f64 x y))
(*.f64 (/.f64 y x) y)
(*.f64 y (/.f64 y x))
(/.f64 (pow.f64 y 2) x)
(/.f64 (*.f64 y y) x)
(/.f64 y (/.f64 x y))
(*.f64 (/.f64 y x) y)
(*.f64 y (/.f64 y x))
(/.f64 (pow.f64 y 2) x)
(/.f64 (*.f64 y y) x)
(/.f64 y (/.f64 x y))
(*.f64 (/.f64 y x) y)
(*.f64 y (/.f64 y x))
(/.f64 (pow.f64 y 2) x)
(/.f64 (*.f64 y y) x)
(/.f64 y (/.f64 x y))
(*.f64 (/.f64 y x) y)
(*.f64 y (/.f64 y x))
(/.f64 (pow.f64 y 2) x)
(/.f64 (*.f64 y y) x)
(/.f64 y (/.f64 x y))
(*.f64 (/.f64 y x) y)
(*.f64 y (/.f64 y x))
(/.f64 (pow.f64 y 2) x)
(/.f64 (*.f64 y y) x)
(/.f64 y (/.f64 x y))
(*.f64 (/.f64 y x) y)
(*.f64 y (/.f64 y x))
(/.f64 (pow.f64 y 2) x)
(/.f64 (*.f64 y y) x)
(/.f64 y (/.f64 x y))
(*.f64 (/.f64 y x) y)
(*.f64 y (/.f64 y x))
(/.f64 (pow.f64 y 2) x)
(/.f64 (*.f64 y y) x)
(/.f64 y (/.f64 x y))
(*.f64 (/.f64 y x) y)
(*.f64 y (/.f64 y x))
(/.f64 (pow.f64 y 2) x)
(/.f64 (*.f64 y y) x)
(/.f64 y (/.f64 x y))
(*.f64 (/.f64 y x) y)
(*.f64 y (/.f64 y x))
(/.f64 (pow.f64 y 2) x)
(/.f64 (*.f64 y y) x)
(/.f64 y (/.f64 x y))
(*.f64 (/.f64 y x) y)
(*.f64 y (/.f64 y x))
(/.f64 (pow.f64 y 2) x)
(/.f64 (*.f64 y y) x)
(/.f64 y (/.f64 x y))
(*.f64 (/.f64 y x) y)
(*.f64 y (/.f64 y x))
(/.f64 (pow.f64 y 2) x)
(/.f64 (*.f64 y y) x)
(/.f64 y (/.f64 x y))
(*.f64 (/.f64 y x) y)
(*.f64 y (/.f64 y x))
(/.f64 (pow.f64 y 2) x)
(/.f64 (*.f64 y y) x)
(/.f64 y (/.f64 x y))
(*.f64 (/.f64 y x) y)
(*.f64 y (/.f64 y x))
(/.f64 (pow.f64 y 2) x)
(/.f64 (*.f64 y y) x)
(/.f64 y (/.f64 x y))
(*.f64 (/.f64 y x) y)
(*.f64 y (/.f64 y x))
(/.f64 (pow.f64 y 2) x)
(/.f64 (*.f64 y y) x)
(/.f64 y (/.f64 x y))
(*.f64 (/.f64 y x) y)
(*.f64 y (/.f64 y x))
(/.f64 (pow.f64 y 2) x)
(/.f64 (*.f64 y y) x)
(/.f64 y (/.f64 x y))
(*.f64 (/.f64 y x) y)
(*.f64 y (/.f64 y x))
(/.f64 (pow.f64 y 2) x)
(/.f64 (*.f64 y y) x)
(/.f64 y (/.f64 x y))
(*.f64 (/.f64 y x) y)
(*.f64 y (/.f64 y x))
(/.f64 (pow.f64 y 2) x)
(/.f64 (*.f64 y y) x)
(/.f64 y (/.f64 x y))
(*.f64 (/.f64 y x) y)
(*.f64 y (/.f64 y x))

eval165.0ms (4%)

Compiler: Compiled 5776 to 1977 computations (65.8% saved)

prune51.0ms (1.2%)

Pruning

6 alts after pruning (1 fresh and 5 done)

	Pruned	Kept	Total
New	319	0	319
Fresh	0	1	1
Picked	0	1	1
Done	0	4	4
Total	319	6	325

Error

Counts

325 → 6

Alt Table

Click to see full alt table

Status	Error	Program
✓	24.6b	(-.f64 (+.f64 1 (/.f64 x (+.f64 x y))) 1)
✓	0.0b	(/.f64 x (+.f64 y x))
✓	27.2b	(/.f64 x y)
✓	36.2b	(-.f64 1 (/.f64 y x))
✓	27.5b	(+.f64 (/.f64 x y) (/.f64 (neg.f64 x) (/.f64 y (/.f64 x y))))
	35.5b	1

Compiler

Compiled 47 to 30 computations (36.2% saved)

regimes19.0ms (0.5%)

Counts

8 → 1

Calls

Call 1

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

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

Calls

3 calls:

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

Results

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

Compiler

Compiled 81 to 37 computations (54.3% saved)

regimes31.0ms (0.8%)

Counts

3 → 5

Calls

Call 1

Inputs
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:

19.0ms	x
11.0ms	y

Results

Error	Segments	Branch
12.0b	5	`x`
12.8b	3	`y`

Compiler

Compiled 17 to 11 computations (35.3% saved)

bsearch63.0ms (1.5%)

Algorithm

4×	binary-search

Steps

Time	Left	Right
16.0ms	2.613042532516956e+170	1.2969310268724833e+172
15.0ms	3.572295006533607e+111	4.661884352685314e+115
16.0ms	8.284860875722656e+91	1.5773933714110625e+92
15.0ms	-1.0946692789448324e+55	-8.243845342461022e+44

Compiler

Compiled 12 to 8 computations (33.3% saved)

regimes26.0ms (0.6%)

Accuracy

Total -49.9b remaining (-412%)

Threshold costs -49.9b (-412%)

Counts

2 → 5

Calls

Call 1

Inputs
1
(/.f64 x y)

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

Calls

2 calls:

16.0ms	x
9.0ms	y

Results

Error	Segments	Branch
12.1b	5	`x`
12.8b	3	`y`

Compiler

Compiled 12 to 8 computations (33.3% saved)

bsearch64.0ms (1.5%)

Algorithm

4×	binary-search

Steps

Time	Left	Right
16.0ms	2.613042532516956e+170	1.2969310268724833e+172
16.0ms	3.572295006533607e+111	4.661884352685314e+115
16.0ms	8.284860875722656e+91	1.5773933714110625e+92
16.0ms	-1.0946692789448324e+55	-8.243845342461022e+44

Compiler

Compiled 12 to 8 computations (33.3% saved)

simplify8.0ms (0.2%)

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 y x))
(if (<=.f64 x -10946692789448323648399671827382577349669014542579924992) 1 (if (<=.f64 x 82848608757226559733599746444752443095543349538398778622153248515235276236980424194062811136) (/.f64 x y) (if (<=.f64 x 3572295006533606994476629104945010313534551518146544420612239201583255195888142776715826971429515813862600867840) (-.f64 1 (/.f64 y x)) (if (<=.f64 x 261304253251695578300122099176571545550743579161340469986363603175611239234026597104624440474246698924167246825246196033829782160489993563172913061315542444351556463624192) (/.f64 x y) 1))))
(if (<=.f64 x -10946692789448323648399671827382577349669014542579924992) 1 (if (<=.f64 x 82848608757226559733599746444752443095543349538398778622153248515235276236980424194062811136) (/.f64 x y) (if (<=.f64 x 3572295006533606994476629104945010313534551518146544420612239201583255195888142776715826971429515813862600867840) 1 (if (<=.f64 x 261304253251695578300122099176571545550743579161340469986363603175611239234026597104624440474246698924167246825246196033829782160489993563172913061315542444351556463624192) (/.f64 x y) 1))))
1

Outputs
(/.f64 x (+.f64 y x))
(/.f64 x (+.f64 x y))
(if (<=.f64 x -10946692789448323648399671827382577349669014542579924992) 1 (if (<=.f64 x 82848608757226559733599746444752443095543349538398778622153248515235276236980424194062811136) (/.f64 x y) (if (<=.f64 x 3572295006533606994476629104945010313534551518146544420612239201583255195888142776715826971429515813862600867840) (-.f64 1 (/.f64 y x)) (if (<=.f64 x 261304253251695578300122099176571545550743579161340469986363603175611239234026597104624440474246698924167246825246196033829782160489993563172913061315542444351556463624192) (/.f64 x y) 1))))
(if (<=.f64 x -10946692789448323648399671827382577349669014542579924992) 1 (if (<=.f64 x 82848608757226559733599746444752443095543349538398778622153248515235276236980424194062811136) (/.f64 x y) (if (<=.f64 x 3572295006533606994476629104945010313534551518146544420612239201583255195888142776715826971429515813862600867840) 1 (if (<=.f64 x 261304253251695578300122099176571545550743579161340469986363603175611239234026597104624440474246698924167246825246196033829782160489993563172913061315542444351556463624192) (/.f64 x y) 1))))
1

Compiler

Compiled 68 to 45 computations (33.8% saved)

soundness0.0ms (0%)

end38.0ms (0.9%)

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

Details

analyze90.0ms (2.2%)

sample1.4s (34.2%)

preprocess33.0ms (0.8%)

simplify15.0ms (0.4%)

eval1.0ms (0%)

prune2.0ms (0%)

localize12.0ms (0.3%)

series7.0ms (0.2%)

rewrite88.0ms (2.1%)

simplify64.0ms (1.6%)

eval41.0ms (1%)

prune16.0ms (0.4%)

localize10.0ms (0.2%)

localize45.0ms (1.1%)

series4.0ms (0.1%)

rewrite117.0ms (2.8%)

simplify102.0ms (2.5%)

localize3.0ms (0.1%)

localize10.0ms (0.3%)

series93.0ms (2.2%)

rewrite71.0ms (1.7%)

simplify90.0ms (2.2%)

eval142.0ms (3.4%)

prune79.0ms (1.9%)

localize114.0ms (2.8%)

series32.0ms (0.8%)

rewrite168.0ms (4.1%)

simplify125.0ms (3%)

eval199.0ms (4.8%)

prune119.0ms (2.9%)

localize19.0ms (0.4%)

series43.0ms (1.1%)

rewrite193.0ms (4.7%)

simplify112.0ms (2.7%)

eval165.0ms (4%)

prune51.0ms (1.2%)

regimes19.0ms (0.5%)

regimes31.0ms (0.8%)

bsearch63.0ms (1.5%)

regimes26.0ms (0.6%)

bsearch64.0ms (1.5%)

simplify8.0ms (0.2%)

soundness0.0ms (0%)

end38.0ms (0.9%)

Profiling