Details

analyze41.0ms (1.7%)

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)

sample1.3s (56%)

Results

1.3s

8256×

body

256

valid

Bogosity

preprocess4.0ms (0.2%)

Algorithm

2×	egg-herbie

Rules

2×	`+-commutative`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	26
1	9	26
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)

simplify11.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

2×	`+-commutative`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	13
1	7	13

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))

eval0.0ms (0%)

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

prune4.0ms (0.2%)

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)

localize4.0ms (0.2%)

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)

series2.0ms (0.1%)

Counts

1 → 24

Calls

6 calls:

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

rewrite53.0ms (2.2%)

Algorithm

1×	batch-egg-rewrite

Rules

1634×	`add-sqr-sqrt`
1618×	`*-un-lft-identity`
1516×	`add-cube-cbrt`
1498×	`add-cbrt-cube`
146×	`pow1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	13
1	135	13
2	1966	13

Stop Event

1×	node limit

Counts

1 → 34

Calls

Call 1

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

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

Outputs

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

simplify61.0ms (2.6%)

Algorithm

1×	egg-herbie

Rules

1478×	`associate-+r+`
1080×	`associate-+l+`
794×	`associate-/l*`
696×	`times-frac`
694×	`associate-*r/`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	125	1556
1	324	1466
2	1250	1364
3	5670	1364

Stop Event

1×	node limit

Counts

58 → 68

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 (exp.f64 (log1p.f64 (/.f64 x (+.f64 x y)))) 1)
(*.f64 x (/.f64 1 (+.f64 x y)))
(*.f64 (/.f64 x (+.f64 x y)) 1)
(*.f64 1 (/.f64 x (+.f64 x y)))
(*.f64 (sqrt.f64 (/.f64 x (+.f64 x y))) (sqrt.f64 (/.f64 x (+.f64 x y))))
(.f64 (sqrt.f64 x) (.f64 (sqrt.f64 x) (/.f64 1 (+.f64 x y))))
(*.f64 (cbrt.f64 (/.f64 x (+.f64 x y))) (pow.f64 (cbrt.f64 (/.f64 x (+.f64 x y))) 2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 x (+.f64 x y))) 2) (cbrt.f64 (/.f64 x (+.f64 x y))))
(.f64 (pow.f64 (cbrt.f64 x) 2) (.f64 (cbrt.f64 x) (/.f64 1 (+.f64 x y))))
(*.f64 (/.f64 1 (+.f64 x y)) x)
(*.f64 (neg.f64 x) (/.f64 1 (neg.f64 (+.f64 x y))))
(*.f64 (/.f64 1 (sqrt.f64 (+.f64 x y))) (/.f64 x (sqrt.f64 (+.f64 x y))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 x y)) 2)) (/.f64 x (cbrt.f64 (+.f64 x y))))
(.f64 (/.f64 x (-.f64 (.f64 y y) (*.f64 x x))) (-.f64 y x))
(.f64 (/.f64 x (+.f64 (pow.f64 y 3) (pow.f64 x 3))) (fma.f64 y y (.f64 x (-.f64 x y))))
(*.f64 (/.f64 (sqrt.f64 x) 1) (/.f64 (sqrt.f64 x) (+.f64 x y)))
(*.f64 (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 (+.f64 x y)) 2)) (/.f64 (sqrt.f64 x) (cbrt.f64 (+.f64 x y))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) 1) (/.f64 (cbrt.f64 x) (+.f64 x y)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (sqrt.f64 (+.f64 x y))) (/.f64 (cbrt.f64 x) (sqrt.f64 (+.f64 x y))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 (+.f64 x y)) 2)) (cbrt.f64 (/.f64 x (+.f64 x y))))
(pow.f64 (/.f64 x (+.f64 x y)) 1)
(pow.f64 (sqrt.f64 (/.f64 x (+.f64 x y))) 2)
(pow.f64 (cbrt.f64 (/.f64 x (+.f64 x y))) 3)
(pow.f64 (pow.f64 (/.f64 x (+.f64 x y)) 3) 1/3)
(pow.f64 (/.f64 (+.f64 x y) x) -1)
(neg.f64 (/.f64 x (neg.f64 (+.f64 x y))))
(sqrt.f64 (pow.f64 (/.f64 x (+.f64 x y)) 2))
(log.f64 (exp.f64 (/.f64 x (+.f64 x y))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 x (+.f64 x y)))))
(cbrt.f64 (pow.f64 (/.f64 x (+.f64 x y)) 3))
(expm1.f64 (log1p.f64 (/.f64 x (+.f64 x y))))
(exp.f64 (log.f64 (/.f64 x (+.f64 x y))))
(exp.f64 (*.f64 (log.f64 (/.f64 x (+.f64 x y))) 1))
(log1p.f64 (expm1.f64 (/.f64 x (+.f64 x y))))

Outputs
(/.f64 x y)
(+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (/.f64 x y))
(fma.f64 -1 (/.f64 (.f64 x x) (.f64 y y)) (/.f64 x y))
(-.f64 (/.f64 x y) (*.f64 (/.f64 x y) (/.f64 x y)))
(+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (+.f64 (/.f64 x y) (/.f64 (pow.f64 x 3) (pow.f64 y 3))))
(+.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 (/.f64 x y) (/.f64 x y))) (/.f64 (pow.f64 x 3) (pow.f64 y 3)))
(+.f64 (/.f64 x y) (-.f64 (pow.f64 (/.f64 x y) 3) (*.f64 (/.f64 x y) (/.f64 x y))))
(+.f64 (.f64 -1 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (+.f64 (.f64 -1 (/.f64 (pow.f64 x 4) (pow.f64 y 4))) (+.f64 (/.f64 x y) (/.f64 (pow.f64 x 3) (pow.f64 y 3)))))
(fma.f64 -1 (/.f64 (.f64 x x) (.f64 y y)) (fma.f64 -1 (/.f64 (pow.f64 x 4) (pow.f64 y 4)) (+.f64 (/.f64 x y) (/.f64 (pow.f64 x 3) (pow.f64 y 3)))))
(-.f64 (-.f64 (+.f64 (/.f64 x y) (/.f64 (pow.f64 x 3) (pow.f64 y 3))) (/.f64 (pow.f64 x 4) (pow.f64 y 4))) (*.f64 (/.f64 x y) (/.f64 x y)))
(-.f64 (+.f64 (/.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))))
1
(+.f64 1 (*.f64 -1 (/.f64 y x)))
(+.f64 1 (neg.f64 (/.f64 y x)))
(-.f64 1 (/.f64 y x))
(+.f64 1 (+.f64 (/.f64 (pow.f64 y 2) (pow.f64 x 2)) (*.f64 -1 (/.f64 y x))))
(+.f64 1 (+.f64 (neg.f64 (/.f64 y x)) (/.f64 (.f64 y y) (.f64 x x))))
(+.f64 1 (-.f64 (/.f64 y (/.f64 (*.f64 x x) y)) (/.f64 y x)))
(+.f64 1 (*.f64 (/.f64 y x) (+.f64 -1 (/.f64 y x))))
(+.f64 1 (+.f64 (/.f64 (pow.f64 y 2) (pow.f64 x 2)) (+.f64 (.f64 -1 (/.f64 (pow.f64 y 3) (pow.f64 x 3))) (.f64 -1 (/.f64 y x)))))
(+.f64 1 (+.f64 (/.f64 (.f64 y y) (.f64 x x)) (*.f64 -1 (+.f64 (/.f64 (pow.f64 y 3) (pow.f64 x 3)) (/.f64 y x)))))
(+.f64 (-.f64 (/.f64 y (/.f64 (*.f64 x x) y)) (/.f64 (pow.f64 y 3) (pow.f64 x 3))) (-.f64 1 (/.f64 y x)))
(-.f64 (+.f64 1 (*.f64 (/.f64 y x) (+.f64 -1 (/.f64 y x)))) (pow.f64 (/.f64 y x) 3))
(+.f64 (*.f64 (/.f64 y x) (+.f64 -1 (/.f64 y x))) (-.f64 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 1 (-.f64 (/.f64 y (/.f64 (*.f64 x x) y)) (/.f64 y x)))
(+.f64 1 (*.f64 (/.f64 y x) (+.f64 -1 (/.f64 y x))))
(+.f64 1 (+.f64 (/.f64 (pow.f64 y 2) (pow.f64 x 2)) (+.f64 (.f64 -1 (/.f64 (pow.f64 y 3) (pow.f64 x 3))) (.f64 -1 (/.f64 y x)))))
(+.f64 1 (+.f64 (/.f64 (.f64 y y) (.f64 x x)) (*.f64 -1 (+.f64 (/.f64 (pow.f64 y 3) (pow.f64 x 3)) (/.f64 y x)))))
(+.f64 (-.f64 (/.f64 y (/.f64 (*.f64 x x) y)) (/.f64 (pow.f64 y 3) (pow.f64 x 3))) (-.f64 1 (/.f64 y x)))
(-.f64 (+.f64 1 (*.f64 (/.f64 y x) (+.f64 -1 (/.f64 y x)))) (pow.f64 (/.f64 y x) 3))
(+.f64 (*.f64 (/.f64 y x) (+.f64 -1 (/.f64 y x))) (-.f64 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 1 (-.f64 (/.f64 y (/.f64 (*.f64 x x) y)) (/.f64 y x)))
(+.f64 1 (*.f64 (/.f64 y x) (+.f64 -1 (/.f64 y x))))
(+.f64 1 (+.f64 (/.f64 (pow.f64 y 2) (pow.f64 x 2)) (+.f64 (.f64 -1 (/.f64 (pow.f64 y 3) (pow.f64 x 3))) (.f64 -1 (/.f64 y x)))))
(+.f64 1 (+.f64 (/.f64 (.f64 y y) (.f64 x x)) (*.f64 -1 (+.f64 (/.f64 (pow.f64 y 3) (pow.f64 x 3)) (/.f64 y x)))))
(+.f64 (-.f64 (/.f64 y (/.f64 (*.f64 x x) y)) (/.f64 (pow.f64 y 3) (pow.f64 x 3))) (-.f64 1 (/.f64 y x)))
(-.f64 (+.f64 1 (*.f64 (/.f64 y x) (+.f64 -1 (/.f64 y x)))) (pow.f64 (/.f64 y x) 3))
(+.f64 (*.f64 (/.f64 y x) (+.f64 -1 (/.f64 y x))) (-.f64 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 -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 (/.f64 x y) (/.f64 x y))) (/.f64 (pow.f64 x 3) (pow.f64 y 3)))
(+.f64 (/.f64 x y) (-.f64 (pow.f64 (/.f64 x y) 3) (*.f64 (/.f64 x y) (/.f64 x y))))
(+.f64 (.f64 -1 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (+.f64 (.f64 -1 (/.f64 (pow.f64 x 4) (pow.f64 y 4))) (+.f64 (/.f64 x y) (/.f64 (pow.f64 x 3) (pow.f64 y 3)))))
(fma.f64 -1 (/.f64 (.f64 x x) (.f64 y y)) (fma.f64 -1 (/.f64 (pow.f64 x 4) (pow.f64 y 4)) (+.f64 (/.f64 x y) (/.f64 (pow.f64 x 3) (pow.f64 y 3)))))
(-.f64 (-.f64 (+.f64 (/.f64 x y) (/.f64 (pow.f64 x 3) (pow.f64 y 3))) (/.f64 (pow.f64 x 4) (pow.f64 y 4))) (*.f64 (/.f64 x y) (/.f64 x y)))
(-.f64 (+.f64 (/.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 x y)
(+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (/.f64 x y))
(fma.f64 -1 (/.f64 (.f64 x x) (.f64 y y)) (/.f64 x y))
(-.f64 (/.f64 x y) (*.f64 (/.f64 x y) (/.f64 x y)))
(+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (+.f64 (/.f64 x y) (/.f64 (pow.f64 x 3) (pow.f64 y 3))))
(+.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 (/.f64 x y) (/.f64 x y))) (/.f64 (pow.f64 x 3) (pow.f64 y 3)))
(+.f64 (/.f64 x y) (-.f64 (pow.f64 (/.f64 x y) 3) (*.f64 (/.f64 x y) (/.f64 x y))))
(+.f64 (.f64 -1 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (+.f64 (.f64 -1 (/.f64 (pow.f64 x 4) (pow.f64 y 4))) (+.f64 (/.f64 x y) (/.f64 (pow.f64 x 3) (pow.f64 y 3)))))
(fma.f64 -1 (/.f64 (.f64 x x) (.f64 y y)) (fma.f64 -1 (/.f64 (pow.f64 x 4) (pow.f64 y 4)) (+.f64 (/.f64 x y) (/.f64 (pow.f64 x 3) (pow.f64 y 3)))))
(-.f64 (-.f64 (+.f64 (/.f64 x y) (/.f64 (pow.f64 x 3) (pow.f64 y 3))) (/.f64 (pow.f64 x 4) (pow.f64 y 4))) (*.f64 (/.f64 x y) (/.f64 x y)))
(-.f64 (+.f64 (/.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 (exp.f64 (log1p.f64 (/.f64 x (+.f64 x y)))) 1)
(/.f64 x (+.f64 x y))
(*.f64 x (/.f64 1 (+.f64 x y)))
(/.f64 x (+.f64 x y))
(*.f64 (/.f64 x (+.f64 x y)) 1)
(/.f64 x (+.f64 x y))
(*.f64 1 (/.f64 x (+.f64 x y)))
(/.f64 x (+.f64 x y))
(*.f64 (sqrt.f64 (/.f64 x (+.f64 x y))) (sqrt.f64 (/.f64 x (+.f64 x y))))
(/.f64 x (+.f64 x y))
(.f64 (sqrt.f64 x) (.f64 (sqrt.f64 x) (/.f64 1 (+.f64 x y))))
(/.f64 x (+.f64 x y))
(*.f64 (cbrt.f64 (/.f64 x (+.f64 x y))) (pow.f64 (cbrt.f64 (/.f64 x (+.f64 x y))) 2))
(/.f64 x (+.f64 x y))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 x (+.f64 x y))) 2) (cbrt.f64 (/.f64 x (+.f64 x y))))
(/.f64 x (+.f64 x y))
(.f64 (pow.f64 (cbrt.f64 x) 2) (.f64 (cbrt.f64 x) (/.f64 1 (+.f64 x y))))
(/.f64 x (+.f64 x y))
(*.f64 (/.f64 1 (+.f64 x y)) x)
(/.f64 x (+.f64 x y))
(*.f64 (neg.f64 x) (/.f64 1 (neg.f64 (+.f64 x y))))
(/.f64 x (+.f64 x y))
(*.f64 (/.f64 1 (sqrt.f64 (+.f64 x y))) (/.f64 x (sqrt.f64 (+.f64 x y))))
(/.f64 (/.f64 x (sqrt.f64 (+.f64 x y))) (sqrt.f64 (+.f64 x y)))
(/.f64 x (*.f64 (sqrt.f64 (+.f64 x y)) (sqrt.f64 (+.f64 x y))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 x y)) 2)) (/.f64 x (cbrt.f64 (+.f64 x y))))
(/.f64 (/.f64 x (cbrt.f64 (+.f64 x y))) (pow.f64 (cbrt.f64 (+.f64 x y)) 2))
(/.f64 x (*.f64 (cbrt.f64 (+.f64 x y)) (pow.f64 (cbrt.f64 (+.f64 x y)) 2)))
(.f64 (/.f64 x (-.f64 (.f64 y y) (*.f64 x x))) (-.f64 y x))
(/.f64 x (+.f64 x y))
(.f64 (/.f64 x (+.f64 (pow.f64 y 3) (pow.f64 x 3))) (fma.f64 y y (.f64 x (-.f64 x y))))
(/.f64 (.f64 x (fma.f64 y y (.f64 x (-.f64 x y)))) (+.f64 (pow.f64 x 3) (pow.f64 y 3)))
(.f64 (/.f64 x (+.f64 (pow.f64 x 3) (pow.f64 y 3))) (fma.f64 y y (.f64 x (-.f64 x y))))
(.f64 (/.f64 x (+.f64 (pow.f64 x 3) (pow.f64 y 3))) (fma.f64 x (-.f64 x y) (.f64 y y)))
(*.f64 (/.f64 (sqrt.f64 x) 1) (/.f64 (sqrt.f64 x) (+.f64 x y)))
(/.f64 x (+.f64 x y))
(*.f64 (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 (+.f64 x y)) 2)) (/.f64 (sqrt.f64 x) (cbrt.f64 (+.f64 x y))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 x y)) 2)) (/.f64 x (cbrt.f64 (+.f64 x y))))
(/.f64 (/.f64 x (cbrt.f64 (+.f64 x y))) (pow.f64 (cbrt.f64 (+.f64 x y)) 2))
(/.f64 x (*.f64 (cbrt.f64 (+.f64 x y)) (pow.f64 (cbrt.f64 (+.f64 x y)) 2)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) 1) (/.f64 (cbrt.f64 x) (+.f64 x y)))
(/.f64 x (+.f64 x y))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (sqrt.f64 (+.f64 x y))) (/.f64 (cbrt.f64 x) (sqrt.f64 (+.f64 x y))))
(*.f64 (/.f64 1 (sqrt.f64 (+.f64 x y))) (/.f64 x (sqrt.f64 (+.f64 x y))))
(/.f64 (/.f64 x (sqrt.f64 (+.f64 x y))) (sqrt.f64 (+.f64 x y)))
(/.f64 x (*.f64 (sqrt.f64 (+.f64 x y)) (sqrt.f64 (+.f64 x y))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 (+.f64 x y)) 2)) (cbrt.f64 (/.f64 x (+.f64 x y))))
(*.f64 (cbrt.f64 (/.f64 x (+.f64 x y))) (/.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 (+.f64 x y)) 2)))
(pow.f64 (/.f64 x (+.f64 x y)) 1)
(/.f64 x (+.f64 x y))
(pow.f64 (sqrt.f64 (/.f64 x (+.f64 x y))) 2)
(/.f64 x (+.f64 x y))
(pow.f64 (cbrt.f64 (/.f64 x (+.f64 x y))) 3)
(/.f64 x (+.f64 x y))
(pow.f64 (pow.f64 (/.f64 x (+.f64 x y)) 3) 1/3)
(/.f64 x (+.f64 x y))
(pow.f64 (/.f64 (+.f64 x y) x) -1)
(/.f64 x (+.f64 x y))
(neg.f64 (/.f64 x (neg.f64 (+.f64 x y))))
(/.f64 x (+.f64 x y))
(sqrt.f64 (pow.f64 (/.f64 x (+.f64 x y)) 2))
(/.f64 x (+.f64 x y))
(log.f64 (exp.f64 (/.f64 x (+.f64 x y))))
(/.f64 x (+.f64 x y))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 x (+.f64 x y)))))
(/.f64 x (+.f64 x y))
(cbrt.f64 (pow.f64 (/.f64 x (+.f64 x y)) 3))
(/.f64 x (+.f64 x y))
(expm1.f64 (log1p.f64 (/.f64 x (+.f64 x y))))
(/.f64 x (+.f64 x y))
(exp.f64 (log.f64 (/.f64 x (+.f64 x y))))
(/.f64 x (+.f64 x y))
(exp.f64 (*.f64 (log.f64 (/.f64 x (+.f64 x y))) 1))
(/.f64 x (+.f64 x y))
(log1p.f64 (expm1.f64 (/.f64 x (+.f64 x y))))
(/.f64 x (+.f64 x y))

eval13.0ms (0.5%)

Compiler: Compiled 885 to 365 computations (58.8% saved)

prune10.0ms (0.4%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	64	4	68
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	64	5	69

Error

Counts

69 → 5

Alt Table

Click to see full alt table

Status	Error	Program
✓	0.0b	(/.f64 x (+.f64 y x))
▶	35.3b	(/.f64 x y)
▶	35.8b	(-.f64 (/.f64 x y) (*.f64 (/.f64 x y) (/.f64 x y)))
▶	28.3b	(-.f64 1 (/.f64 y x))
	28.1b	1

Compiler

Compiled 35 to 20 computations (42.9% saved)

localize5.0ms (0.2%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 13 to 6 computations (53.8% saved)

series1.0ms (0.1%)

Counts

1 → 24

Calls

6 calls:

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

rewrite59.0ms (2.5%)

Algorithm

1×	batch-egg-rewrite

Rules

1630×	`add-sqr-sqrt`
1614×	`*-un-lft-identity`
1506×	`add-cube-cbrt`
1492×	`add-cbrt-cube`
150×	`pow1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	13
1	148	13
2	1957	13

Stop Event

1×	node limit

Counts

1 → 30

Calls

Call 1

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

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

Outputs

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

simplify53.0ms (2.2%)

Algorithm

1×	egg-herbie

Rules

1316×	`associate-*r/`
1184×	`associate-/r*`
944×	`associate-r`
904×	`distribute-lft-in`
790×	`*-commutative`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	80	1062
1	198	1002
2	794	982
3	3526	982

Stop Event

1×	node limit

Counts

54 → 37

Calls

Call 1

Inputs
1
(+.f64 1 (*.f64 -1 (/.f64 y x)))
(+.f64 1 (*.f64 -1 (/.f64 y x)))
(+.f64 1 (*.f64 -1 (/.f64 y x)))
(*.f64 -1 (/.f64 y x))
(+.f64 1 (*.f64 -1 (/.f64 y x)))
(+.f64 1 (*.f64 -1 (/.f64 y x)))
(+.f64 1 (*.f64 -1 (/.f64 y x)))
(*.f64 -1 (/.f64 y x))
(+.f64 1 (*.f64 -1 (/.f64 y x)))
(+.f64 1 (*.f64 -1 (/.f64 y x)))
(+.f64 1 (*.f64 -1 (/.f64 y x)))
(*.f64 -1 (/.f64 y x))
(+.f64 1 (*.f64 -1 (/.f64 y x)))
(+.f64 1 (*.f64 -1 (/.f64 y x)))
(+.f64 1 (*.f64 -1 (/.f64 y x)))
1
(+.f64 1 (*.f64 -1 (/.f64 y x)))
(+.f64 1 (*.f64 -1 (/.f64 y x)))
(+.f64 1 (*.f64 -1 (/.f64 y x)))
1
(+.f64 1 (*.f64 -1 (/.f64 y x)))
(+.f64 1 (*.f64 -1 (/.f64 y x)))
(+.f64 1 (*.f64 -1 (/.f64 y x)))
(+.f64 1 (/.f64 (neg.f64 y) x))
(+.f64 1 (*.f64 (/.f64 (neg.f64 y) x) 1))
(+.f64 (/.f64 (neg.f64 y) x) 1)
(*.f64 1 (-.f64 1 (/.f64 y x)))
(*.f64 (-.f64 1 (/.f64 y x)) 1)
(*.f64 (sqrt.f64 (-.f64 1 (/.f64 y x))) (sqrt.f64 (-.f64 1 (/.f64 y x))))
(*.f64 (cbrt.f64 (-.f64 1 (/.f64 y x))) (pow.f64 (cbrt.f64 (-.f64 1 (/.f64 y x))) 2))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 1 (/.f64 y x))) 2) (cbrt.f64 (-.f64 1 (/.f64 y x))))
(*.f64 (-.f64 1 (pow.f64 (/.f64 y x) 2)) (/.f64 1 (+.f64 1 (/.f64 y x))))
(*.f64 (-.f64 1 (pow.f64 (/.f64 y x) 3)) (/.f64 1 (+.f64 1 (+.f64 (/.f64 y x) (pow.f64 (/.f64 y x) 2)))))
(/.f64 1 (/.f64 (+.f64 1 (/.f64 y x)) (-.f64 1 (pow.f64 (/.f64 y x) 2))))
(/.f64 1 (/.f64 (+.f64 1 (+.f64 (/.f64 y x) (pow.f64 (/.f64 y x) 2))) (-.f64 1 (pow.f64 (/.f64 y x) 3))))
(/.f64 (-.f64 1 (pow.f64 (/.f64 y x) 2)) (+.f64 1 (/.f64 y x)))
(/.f64 (-.f64 1 (pow.f64 (/.f64 y x) 3)) (+.f64 1 (+.f64 (/.f64 y x) (pow.f64 (/.f64 y x) 2))))
(/.f64 (-.f64 1 (*.f64 (/.f64 (neg.f64 y) x) (/.f64 (neg.f64 y) x))) (-.f64 1 (/.f64 (neg.f64 y) x)))
(/.f64 (+.f64 1 (pow.f64 (/.f64 (neg.f64 y) x) 3)) (+.f64 1 (-.f64 (*.f64 (/.f64 (neg.f64 y) x) (/.f64 (neg.f64 y) x)) (/.f64 (neg.f64 y) x))))
(/.f64 (neg.f64 (-.f64 1 (pow.f64 (/.f64 y x) 2))) (neg.f64 (+.f64 1 (/.f64 y x))))
(/.f64 (neg.f64 (-.f64 1 (pow.f64 (/.f64 y x) 3))) (neg.f64 (+.f64 1 (+.f64 (/.f64 y x) (pow.f64 (/.f64 y x) 2)))))
(pow.f64 (-.f64 1 (/.f64 y x)) 1)
(pow.f64 (sqrt.f64 (-.f64 1 (/.f64 y x))) 2)
(pow.f64 (cbrt.f64 (-.f64 1 (/.f64 y x))) 3)
(pow.f64 (pow.f64 (-.f64 1 (/.f64 y x)) 3) 1/3)
(sqrt.f64 (pow.f64 (-.f64 1 (/.f64 y x)) 2))
(log.f64 (exp.f64 (-.f64 1 (/.f64 y x))))
(log.f64 (+.f64 1 (expm1.f64 (-.f64 1 (/.f64 y x)))))
(cbrt.f64 (pow.f64 (-.f64 1 (/.f64 y x)) 3))
(expm1.f64 (log1p.f64 (-.f64 1 (/.f64 y x))))
(exp.f64 (log1p.f64 (/.f64 (neg.f64 y) x)))
(exp.f64 (*.f64 (log1p.f64 (/.f64 (neg.f64 y) x)) 1))
(log1p.f64 (expm1.f64 (-.f64 1 (/.f64 y x))))

Outputs
1
(+.f64 1 (*.f64 -1 (/.f64 y x)))
(-.f64 1 (/.f64 y x))
(+.f64 1 (*.f64 -1 (/.f64 y x)))
(-.f64 1 (/.f64 y x))
(+.f64 1 (*.f64 -1 (/.f64 y x)))
(-.f64 1 (/.f64 y x))
(*.f64 -1 (/.f64 y x))
(/.f64 (neg.f64 y) x)
(+.f64 1 (*.f64 -1 (/.f64 y x)))
(-.f64 1 (/.f64 y x))
(+.f64 1 (*.f64 -1 (/.f64 y x)))
(-.f64 1 (/.f64 y x))
(+.f64 1 (*.f64 -1 (/.f64 y x)))
(-.f64 1 (/.f64 y x))
(*.f64 -1 (/.f64 y x))
(/.f64 (neg.f64 y) x)
(+.f64 1 (*.f64 -1 (/.f64 y x)))
(-.f64 1 (/.f64 y x))
(+.f64 1 (*.f64 -1 (/.f64 y x)))
(-.f64 1 (/.f64 y x))
(+.f64 1 (*.f64 -1 (/.f64 y x)))
(-.f64 1 (/.f64 y x))
(*.f64 -1 (/.f64 y x))
(/.f64 (neg.f64 y) x)
(+.f64 1 (*.f64 -1 (/.f64 y x)))
(-.f64 1 (/.f64 y x))
(+.f64 1 (*.f64 -1 (/.f64 y x)))
(-.f64 1 (/.f64 y x))
(+.f64 1 (*.f64 -1 (/.f64 y x)))
(-.f64 1 (/.f64 y x))
1
(+.f64 1 (*.f64 -1 (/.f64 y x)))
(-.f64 1 (/.f64 y x))
(+.f64 1 (*.f64 -1 (/.f64 y x)))
(-.f64 1 (/.f64 y x))
(+.f64 1 (*.f64 -1 (/.f64 y x)))
(-.f64 1 (/.f64 y x))
1
(+.f64 1 (*.f64 -1 (/.f64 y x)))
(-.f64 1 (/.f64 y x))
(+.f64 1 (*.f64 -1 (/.f64 y x)))
(-.f64 1 (/.f64 y x))
(+.f64 1 (*.f64 -1 (/.f64 y x)))
(-.f64 1 (/.f64 y x))
(+.f64 1 (/.f64 (neg.f64 y) x))
(-.f64 1 (/.f64 y x))
(+.f64 1 (*.f64 (/.f64 (neg.f64 y) x) 1))
(-.f64 1 (/.f64 y x))
(+.f64 (/.f64 (neg.f64 y) x) 1)
(-.f64 1 (/.f64 y x))
(*.f64 1 (-.f64 1 (/.f64 y x)))
(-.f64 1 (/.f64 y x))
(*.f64 (-.f64 1 (/.f64 y x)) 1)
(-.f64 1 (/.f64 y x))
(*.f64 (sqrt.f64 (-.f64 1 (/.f64 y x))) (sqrt.f64 (-.f64 1 (/.f64 y x))))
(-.f64 1 (/.f64 y x))
(*.f64 (cbrt.f64 (-.f64 1 (/.f64 y x))) (pow.f64 (cbrt.f64 (-.f64 1 (/.f64 y x))) 2))
(-.f64 1 (/.f64 y x))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 1 (/.f64 y x))) 2) (cbrt.f64 (-.f64 1 (/.f64 y x))))
(-.f64 1 (/.f64 y x))
(*.f64 (-.f64 1 (pow.f64 (/.f64 y x) 2)) (/.f64 1 (+.f64 1 (/.f64 y x))))
(/.f64 (-.f64 1 (pow.f64 (/.f64 y x) 2)) (+.f64 1 (/.f64 y x)))
(/.f64 (+.f64 -1 (pow.f64 (/.f64 y x) 2)) (-.f64 -1 (/.f64 y x)))
(*.f64 (-.f64 1 (pow.f64 (/.f64 y x) 3)) (/.f64 1 (+.f64 1 (+.f64 (/.f64 y x) (pow.f64 (/.f64 y x) 2)))))
(/.f64 (-.f64 1 (pow.f64 (/.f64 y x) 3)) (+.f64 1 (+.f64 (/.f64 y x) (pow.f64 (/.f64 y x) 2))))
(/.f64 (-.f64 1 (pow.f64 (/.f64 y x) 3)) (fma.f64 (+.f64 1 (/.f64 y x)) (/.f64 y x) 1))
(/.f64 1 (/.f64 (+.f64 1 (/.f64 y x)) (-.f64 1 (pow.f64 (/.f64 y x) 2))))
(*.f64 (-.f64 1 (pow.f64 (/.f64 y x) 2)) (/.f64 1 (+.f64 1 (/.f64 y x))))
(/.f64 (-.f64 1 (pow.f64 (/.f64 y x) 2)) (+.f64 1 (/.f64 y x)))
(/.f64 (+.f64 -1 (pow.f64 (/.f64 y x) 2)) (-.f64 -1 (/.f64 y x)))
(/.f64 1 (/.f64 (+.f64 1 (+.f64 (/.f64 y x) (pow.f64 (/.f64 y x) 2))) (-.f64 1 (pow.f64 (/.f64 y x) 3))))
(*.f64 (-.f64 1 (pow.f64 (/.f64 y x) 3)) (/.f64 1 (+.f64 1 (+.f64 (/.f64 y x) (pow.f64 (/.f64 y x) 2)))))
(/.f64 (-.f64 1 (pow.f64 (/.f64 y x) 3)) (+.f64 1 (+.f64 (/.f64 y x) (pow.f64 (/.f64 y x) 2))))
(/.f64 (-.f64 1 (pow.f64 (/.f64 y x) 3)) (fma.f64 (+.f64 1 (/.f64 y x)) (/.f64 y x) 1))
(/.f64 (-.f64 1 (pow.f64 (/.f64 y x) 2)) (+.f64 1 (/.f64 y x)))
(*.f64 (-.f64 1 (pow.f64 (/.f64 y x) 2)) (/.f64 1 (+.f64 1 (/.f64 y x))))
(/.f64 (+.f64 -1 (pow.f64 (/.f64 y x) 2)) (-.f64 -1 (/.f64 y x)))
(/.f64 (-.f64 1 (pow.f64 (/.f64 y x) 3)) (+.f64 1 (+.f64 (/.f64 y x) (pow.f64 (/.f64 y x) 2))))
(*.f64 (-.f64 1 (pow.f64 (/.f64 y x) 3)) (/.f64 1 (+.f64 1 (+.f64 (/.f64 y x) (pow.f64 (/.f64 y x) 2)))))
(/.f64 (-.f64 1 (pow.f64 (/.f64 y x) 3)) (fma.f64 (+.f64 1 (/.f64 y x)) (/.f64 y x) 1))
(/.f64 (-.f64 1 (*.f64 (/.f64 (neg.f64 y) x) (/.f64 (neg.f64 y) x))) (-.f64 1 (/.f64 (neg.f64 y) x)))
(*.f64 (-.f64 1 (pow.f64 (/.f64 y x) 2)) (/.f64 1 (+.f64 1 (/.f64 y x))))
(/.f64 (-.f64 1 (pow.f64 (/.f64 y x) 2)) (+.f64 1 (/.f64 y x)))
(/.f64 (+.f64 -1 (pow.f64 (/.f64 y x) 2)) (-.f64 -1 (/.f64 y x)))
(/.f64 (+.f64 1 (pow.f64 (/.f64 (neg.f64 y) x) 3)) (+.f64 1 (-.f64 (*.f64 (/.f64 (neg.f64 y) x) (/.f64 (neg.f64 y) x)) (/.f64 (neg.f64 y) x))))
(*.f64 (-.f64 1 (pow.f64 (/.f64 y x) 3)) (/.f64 1 (+.f64 1 (+.f64 (/.f64 y x) (pow.f64 (/.f64 y x) 2)))))
(/.f64 (-.f64 1 (pow.f64 (/.f64 y x) 3)) (+.f64 1 (+.f64 (/.f64 y x) (pow.f64 (/.f64 y x) 2))))
(/.f64 (-.f64 1 (pow.f64 (/.f64 y x) 3)) (fma.f64 (+.f64 1 (/.f64 y x)) (/.f64 y x) 1))
(/.f64 (neg.f64 (-.f64 1 (pow.f64 (/.f64 y x) 2))) (neg.f64 (+.f64 1 (/.f64 y x))))
(*.f64 (-.f64 1 (pow.f64 (/.f64 y x) 2)) (/.f64 1 (+.f64 1 (/.f64 y x))))
(/.f64 (-.f64 1 (pow.f64 (/.f64 y x) 2)) (+.f64 1 (/.f64 y x)))
(/.f64 (+.f64 -1 (pow.f64 (/.f64 y x) 2)) (-.f64 -1 (/.f64 y x)))
(/.f64 (neg.f64 (-.f64 1 (pow.f64 (/.f64 y x) 3))) (neg.f64 (+.f64 1 (+.f64 (/.f64 y x) (pow.f64 (/.f64 y x) 2)))))
(*.f64 (-.f64 1 (pow.f64 (/.f64 y x) 3)) (/.f64 1 (+.f64 1 (+.f64 (/.f64 y x) (pow.f64 (/.f64 y x) 2)))))
(/.f64 (-.f64 1 (pow.f64 (/.f64 y x) 3)) (+.f64 1 (+.f64 (/.f64 y x) (pow.f64 (/.f64 y x) 2))))
(/.f64 (-.f64 1 (pow.f64 (/.f64 y x) 3)) (fma.f64 (+.f64 1 (/.f64 y x)) (/.f64 y x) 1))
(pow.f64 (-.f64 1 (/.f64 y x)) 1)
(-.f64 1 (/.f64 y x))
(pow.f64 (sqrt.f64 (-.f64 1 (/.f64 y x))) 2)
(-.f64 1 (/.f64 y x))
(pow.f64 (cbrt.f64 (-.f64 1 (/.f64 y x))) 3)
(-.f64 1 (/.f64 y x))
(pow.f64 (pow.f64 (-.f64 1 (/.f64 y x)) 3) 1/3)
(-.f64 1 (/.f64 y x))
(sqrt.f64 (pow.f64 (-.f64 1 (/.f64 y x)) 2))
(-.f64 1 (/.f64 y x))
(log.f64 (exp.f64 (-.f64 1 (/.f64 y x))))
(-.f64 1 (/.f64 y x))
(log.f64 (+.f64 1 (expm1.f64 (-.f64 1 (/.f64 y x)))))
(-.f64 1 (/.f64 y x))
(cbrt.f64 (pow.f64 (-.f64 1 (/.f64 y x)) 3))
(-.f64 1 (/.f64 y x))
(expm1.f64 (log1p.f64 (-.f64 1 (/.f64 y x))))
(-.f64 1 (/.f64 y x))
(exp.f64 (log1p.f64 (/.f64 (neg.f64 y) x)))
(exp.f64 (*.f64 (log1p.f64 (/.f64 (neg.f64 y) x)) 1))
(exp.f64 (log1p.f64 (/.f64 (neg.f64 y) x)))
(log1p.f64 (expm1.f64 (-.f64 1 (/.f64 y x))))
(-.f64 1 (/.f64 y x))

localize6.0ms (0.3%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.2b	(*.f64 (/.f64 x y) (/.f64 x y))
✓	2.5b	(-.f64 (/.f64 x y) (*.f64 (/.f64 x y) (/.f64 x y)))

Compiler

Compiled 25 to 5 computations (80% saved)

series5.0ms (0.2%)

Counts

2 → 48

Calls

12 calls:

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

rewrite71.0ms (3%)

Algorithm

1×	batch-egg-rewrite

Rules

2008×	`add-sqr-sqrt`
1988×	`*-un-lft-identity`
1874×	`add-cube-cbrt`
1854×	`add-cbrt-cube`
174×	`pow1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	38
1	164	38
2	2590	38

Stop Event

1×	node limit

Counts

2 → 84

Calls

Call 1

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

Outputs

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

simplify85.0ms (3.5%)

Algorithm

1×	egg-herbie

Rules

1382×	`associate-/l/`
1076×	`associate-/r/`
752×	`*-commutative`
684×	`distribute-lft-in`
638×	`distribute-rgt-in`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	218	3356
1	609	3218
2	3171	3210

Stop Event

1×	node limit

Counts

132 → 107

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 (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 (/.f64 x y) (neg.f64 (pow.f64 (/.f64 x y) 2)))
(+.f64 (/.f64 x y) (*.f64 (neg.f64 (pow.f64 (/.f64 x y) 2)) 1))
(+.f64 (-.f64 (/.f64 x y) (pow.f64 (/.f64 x y) 2)) (fma.f64 (/.f64 (neg.f64 x) y) (/.f64 x y) (pow.f64 (/.f64 x y) 2)))
(+.f64 (-.f64 (/.f64 x y) (pow.f64 (/.f64 x y) 2)) (fma.f64 (neg.f64 (pow.f64 (/.f64 x y) 2)) 1 (pow.f64 (/.f64 x y) 2)))
(+.f64 (-.f64 (/.f64 x y) (pow.f64 (/.f64 x y) 2)) (fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (/.f64 x y)) 2)) (cbrt.f64 (pow.f64 (/.f64 x y) 4)) (pow.f64 (/.f64 x y) 2)))
(+.f64 (neg.f64 (pow.f64 (/.f64 x y) 2)) (/.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 (/.f64 x y) (pow.f64 (/.f64 x y) 2)) 1)
(*.f64 1 (-.f64 (/.f64 x y) (pow.f64 (/.f64 x y) 2)))
(*.f64 (sqrt.f64 (-.f64 (/.f64 x y) (pow.f64 (/.f64 x y) 2))) (sqrt.f64 (-.f64 (/.f64 x y) (pow.f64 (/.f64 x y) 2))))
(*.f64 (cbrt.f64 (-.f64 (/.f64 x y) (pow.f64 (/.f64 x y) 2))) (pow.f64 (cbrt.f64 (-.f64 (/.f64 x y) (pow.f64 (/.f64 x y) 2))) 2))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 (/.f64 x y) (pow.f64 (/.f64 x y) 2))) 2) (cbrt.f64 (-.f64 (/.f64 x y) (pow.f64 (/.f64 x y) 2))))
(*.f64 (-.f64 (pow.f64 (/.f64 x y) 2) (pow.f64 (/.f64 x y) 4)) (/.f64 1 (+.f64 (/.f64 x y) (pow.f64 (/.f64 x y) 2))))
(*.f64 (-.f64 (pow.f64 (/.f64 x y) 3) (pow.f64 (/.f64 x y) 6)) (/.f64 1 (+.f64 (pow.f64 (/.f64 x y) 2) (+.f64 (pow.f64 (/.f64 x y) 4) (pow.f64 (/.f64 x y) 3)))))
(*.f64 (+.f64 (/.f64 (neg.f64 x) y) 1) (/.f64 x y))
(*.f64 (+.f64 (sqrt.f64 (/.f64 x y)) (/.f64 x y)) (-.f64 (sqrt.f64 (/.f64 x y)) (/.f64 x y)))
(/.f64 1 (/.f64 (+.f64 (/.f64 x y) (pow.f64 (/.f64 x y) 2)) (-.f64 (pow.f64 (/.f64 x y) 2) (pow.f64 (/.f64 x y) 4))))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (/.f64 x y) 2) (+.f64 (pow.f64 (/.f64 x y) 4) (pow.f64 (/.f64 x y) 3))) (-.f64 (pow.f64 (/.f64 x y) 3) (pow.f64 (/.f64 x y) 6))))
(/.f64 (-.f64 (pow.f64 (/.f64 x y) 2) (pow.f64 (/.f64 x y) 4)) (+.f64 (/.f64 x y) (pow.f64 (/.f64 x y) 2)))
(/.f64 (-.f64 (pow.f64 (/.f64 x y) 3) (pow.f64 (/.f64 x y) 6)) (+.f64 (pow.f64 (/.f64 x y) 2) (+.f64 (pow.f64 (/.f64 x y) 4) (pow.f64 (/.f64 x y) 3))))
(/.f64 (-.f64 (pow.f64 (/.f64 x y) 2) (*.f64 (neg.f64 (pow.f64 (/.f64 x y) 2)) (neg.f64 (pow.f64 (/.f64 x y) 2)))) (-.f64 (/.f64 x y) (neg.f64 (pow.f64 (/.f64 x y) 2))))
(/.f64 (+.f64 (pow.f64 (/.f64 x y) 3) (pow.f64 (neg.f64 (pow.f64 (/.f64 x y) 2)) 3)) (+.f64 (pow.f64 (/.f64 x y) 2) (-.f64 (.f64 (neg.f64 (pow.f64 (/.f64 x y) 2)) (neg.f64 (pow.f64 (/.f64 x y) 2))) (.f64 (/.f64 x y) (neg.f64 (pow.f64 (/.f64 x y) 2))))))
(/.f64 (-.f64 x (/.f64 (*.f64 x x) y)) y)
(/.f64 (-.f64 (.f64 x (.f64 y y)) (.f64 y (.f64 x x))) (pow.f64 y 3))
(/.f64 (-.f64 (.f64 x y) (.f64 y (/.f64 (.f64 x x) y))) (.f64 y y))
(/.f64 (-.f64 (.f64 y y) (.f64 (/.f64 y x) (.f64 x x))) (.f64 (/.f64 y x) (*.f64 y y)))
(/.f64 (-.f64 y (.f64 (/.f64 y x) (/.f64 (.f64 x x) y))) (*.f64 (/.f64 y x) y))
(/.f64 (-.f64 (.f64 (neg.f64 x) (.f64 y y)) (.f64 (neg.f64 y) (.f64 x x))) (.f64 (neg.f64 y) (.f64 y y)))
(/.f64 (-.f64 (.f64 (neg.f64 x) y) (.f64 (neg.f64 y) (/.f64 (.f64 x x) y))) (.f64 (neg.f64 y) y))
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 x y) 2) (pow.f64 (/.f64 x y) 4))) (neg.f64 (+.f64 (/.f64 x y) (pow.f64 (/.f64 x y) 2))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 x y) 3) (pow.f64 (/.f64 x y) 6))) (neg.f64 (+.f64 (pow.f64 (/.f64 x y) 2) (+.f64 (pow.f64 (/.f64 x y) 4) (pow.f64 (/.f64 x y) 3)))))
(pow.f64 (-.f64 (/.f64 x y) (pow.f64 (/.f64 x y) 2)) 1)
(pow.f64 (sqrt.f64 (-.f64 (/.f64 x y) (pow.f64 (/.f64 x y) 2))) 2)
(pow.f64 (cbrt.f64 (-.f64 (/.f64 x y) (pow.f64 (/.f64 x y) 2))) 3)
(pow.f64 (pow.f64 (-.f64 (/.f64 x y) (pow.f64 (/.f64 x y) 2)) 3) 1/3)
(sqrt.f64 (pow.f64 (-.f64 (/.f64 x y) (pow.f64 (/.f64 x y) 2)) 2))
(log.f64 (exp.f64 (-.f64 (/.f64 x y) (pow.f64 (/.f64 x y) 2))))
(log.f64 (+.f64 1 (expm1.f64 (-.f64 (/.f64 x y) (pow.f64 (/.f64 x y) 2)))))
(cbrt.f64 (pow.f64 (-.f64 (/.f64 x y) (pow.f64 (/.f64 x y) 2)) 3))
(expm1.f64 (log1p.f64 (-.f64 (/.f64 x y) (pow.f64 (/.f64 x y) 2))))
(exp.f64 (log.f64 (-.f64 (/.f64 x y) (pow.f64 (/.f64 x y) 2))))
(exp.f64 (*.f64 (log.f64 (-.f64 (/.f64 x y) (pow.f64 (/.f64 x y) 2))) 1))
(log1p.f64 (expm1.f64 (-.f64 (/.f64 x y) (pow.f64 (/.f64 x y) 2))))
(fma.f64 x (/.f64 1 y) (neg.f64 (pow.f64 (/.f64 x y) 2)))
(fma.f64 1 (/.f64 x y) (neg.f64 (pow.f64 (/.f64 x y) 2)))
(fma.f64 (sqrt.f64 (/.f64 x y)) (sqrt.f64 (/.f64 x y)) (neg.f64 (pow.f64 (/.f64 x y) 2)))
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 x y)) 2) (cbrt.f64 (/.f64 x y)) (neg.f64 (pow.f64 (/.f64 x y) 2)))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (/.f64 x y) 2))) 1)
(/.f64 x (/.f64 (*.f64 y y) x))
(/.f64 x (/.f64 y (/.f64 x y)))
(/.f64 x (*.f64 (/.f64 y x) y))
(/.f64 x (*.f64 y (/.f64 y x)))
(/.f64 (/.f64 x y) (/.f64 y x))
(/.f64 1 (*.f64 (/.f64 y x) (/.f64 y x)))
(/.f64 1 (/.f64 (.f64 y y) (.f64 x x)))
(/.f64 1 (/.f64 y (/.f64 (*.f64 x x) y)))
(/.f64 (.f64 x x) (.f64 y y))
(/.f64 (/.f64 (*.f64 x x) y) y)
(/.f64 (neg.f64 x) (*.f64 (/.f64 y x) (neg.f64 y)))
(/.f64 (.f64 (neg.f64 x) (neg.f64 x)) (.f64 (neg.f64 y) (neg.f64 y)))
(/.f64 (.f64 x (neg.f64 x)) (.f64 y (neg.f64 y)))
(/.f64 (*.f64 (/.f64 x y) (neg.f64 x)) (neg.f64 y))
(/.f64 (.f64 (neg.f64 x) x) (.f64 (neg.f64 y) y))
(/.f64 (*.f64 (neg.f64 x) (/.f64 x y)) (neg.f64 y))
(/.f64 (/.f64 (/.f64 (*.f64 x x) y) 1) y)
(/.f64 (/.f64 (/.f64 (*.f64 x x) y) (sqrt.f64 y)) (sqrt.f64 y))
(/.f64 (/.f64 (/.f64 (*.f64 x x) y) (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 y))
(/.f64 (neg.f64 (.f64 x x)) (neg.f64 (.f64 y y)))
(/.f64 (neg.f64 (/.f64 (*.f64 x x) y)) (neg.f64 y))
(/.f64 (.f64 (neg.f64 x) 1) (.f64 (neg.f64 y) (/.f64 y x)))
(pow.f64 (/.f64 x y) 2)
(pow.f64 (pow.f64 (/.f64 x y) 2) 1)
(pow.f64 (pow.f64 (cbrt.f64 (/.f64 x y)) 2) 3)
(pow.f64 (pow.f64 (/.f64 x y) 6) 1/3)
(sqrt.f64 (pow.f64 (/.f64 x y) 4))
(log.f64 (exp.f64 (pow.f64 (/.f64 x y) 2)))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (/.f64 x y) 2))))
(cbrt.f64 (pow.f64 (/.f64 x y) 6))
(expm1.f64 (log1p.f64 (pow.f64 (/.f64 x y) 2)))
(exp.f64 (*.f64 2 (log.f64 (/.f64 x y))))
(exp.f64 (*.f64 (log.f64 (/.f64 x y)) 2))
(exp.f64 (.f64 (.f64 2 (log.f64 (/.f64 x y))) 1))
(log1p.f64 (expm1.f64 (pow.f64 (/.f64 x y) 2)))

Outputs
(/.f64 x y)
(+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (/.f64 x y))
(-.f64 (/.f64 x y) (pow.f64 (/.f64 x y) 2))
(*.f64 (/.f64 x y) (-.f64 1 (/.f64 x y)))
(+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (/.f64 x y))
(-.f64 (/.f64 x y) (pow.f64 (/.f64 x y) 2))
(*.f64 (/.f64 x y) (-.f64 1 (/.f64 x y)))
(+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (/.f64 x y))
(-.f64 (/.f64 x y) (pow.f64 (/.f64 x y) 2))
(*.f64 (/.f64 x y) (-.f64 1 (/.f64 x y)))
(*.f64 -1 (/.f64 (pow.f64 x 2) (pow.f64 y 2)))
(neg.f64 (pow.f64 (/.f64 x y) 2))
(+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (/.f64 x y))
(-.f64 (/.f64 x y) (pow.f64 (/.f64 x y) 2))
(*.f64 (/.f64 x y) (-.f64 1 (/.f64 x y)))
(+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (/.f64 x y))
(-.f64 (/.f64 x y) (pow.f64 (/.f64 x y) 2))
(*.f64 (/.f64 x y) (-.f64 1 (/.f64 x y)))
(+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (/.f64 x y))
(-.f64 (/.f64 x y) (pow.f64 (/.f64 x y) 2))
(*.f64 (/.f64 x y) (-.f64 1 (/.f64 x y)))
(*.f64 -1 (/.f64 (pow.f64 x 2) (pow.f64 y 2)))
(neg.f64 (pow.f64 (/.f64 x y) 2))
(+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (/.f64 x y))
(-.f64 (/.f64 x y) (pow.f64 (/.f64 x y) 2))
(*.f64 (/.f64 x y) (-.f64 1 (/.f64 x y)))
(+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (/.f64 x y))
(-.f64 (/.f64 x y) (pow.f64 (/.f64 x y) 2))
(*.f64 (/.f64 x y) (-.f64 1 (/.f64 x y)))
(+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (/.f64 x y))
(-.f64 (/.f64 x y) (pow.f64 (/.f64 x y) 2))
(*.f64 (/.f64 x y) (-.f64 1 (/.f64 x y)))
(*.f64 -1 (/.f64 (pow.f64 x 2) (pow.f64 y 2)))
(neg.f64 (pow.f64 (/.f64 x y) 2))
(+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (/.f64 x y))
(-.f64 (/.f64 x y) (pow.f64 (/.f64 x y) 2))
(*.f64 (/.f64 x y) (-.f64 1 (/.f64 x y)))
(+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (/.f64 x y))
(-.f64 (/.f64 x y) (pow.f64 (/.f64 x y) 2))
(*.f64 (/.f64 x y) (-.f64 1 (/.f64 x y)))
(+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (/.f64 x y))
(-.f64 (/.f64 x y) (pow.f64 (/.f64 x y) 2))
(*.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))
(-.f64 (/.f64 x y) (pow.f64 (/.f64 x y) 2))
(*.f64 (/.f64 x y) (-.f64 1 (/.f64 x y)))
(+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (/.f64 x y))
(-.f64 (/.f64 x y) (pow.f64 (/.f64 x y) 2))
(*.f64 (/.f64 x y) (-.f64 1 (/.f64 x y)))
(+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (/.f64 x y))
(-.f64 (/.f64 x y) (pow.f64 (/.f64 x y) 2))
(*.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))
(-.f64 (/.f64 x y) (pow.f64 (/.f64 x y) 2))
(*.f64 (/.f64 x y) (-.f64 1 (/.f64 x y)))
(+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (/.f64 x y))
(-.f64 (/.f64 x y) (pow.f64 (/.f64 x y) 2))
(*.f64 (/.f64 x y) (-.f64 1 (/.f64 x y)))
(+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (/.f64 x y))
(-.f64 (/.f64 x y) (pow.f64 (/.f64 x y) 2))
(*.f64 (/.f64 x y) (-.f64 1 (/.f64 x y)))
(/.f64 (pow.f64 x 2) (pow.f64 y 2))
(pow.f64 (/.f64 x y) 2)
(/.f64 (pow.f64 x 2) (pow.f64 y 2))
(pow.f64 (/.f64 x y) 2)
(/.f64 (pow.f64 x 2) (pow.f64 y 2))
(pow.f64 (/.f64 x y) 2)
(/.f64 (pow.f64 x 2) (pow.f64 y 2))
(pow.f64 (/.f64 x y) 2)
(/.f64 (pow.f64 x 2) (pow.f64 y 2))
(pow.f64 (/.f64 x y) 2)
(/.f64 (pow.f64 x 2) (pow.f64 y 2))
(pow.f64 (/.f64 x y) 2)
(/.f64 (pow.f64 x 2) (pow.f64 y 2))
(pow.f64 (/.f64 x y) 2)
(/.f64 (pow.f64 x 2) (pow.f64 y 2))
(pow.f64 (/.f64 x y) 2)
(/.f64 (pow.f64 x 2) (pow.f64 y 2))
(pow.f64 (/.f64 x y) 2)
(/.f64 (pow.f64 x 2) (pow.f64 y 2))
(pow.f64 (/.f64 x y) 2)
(/.f64 (pow.f64 x 2) (pow.f64 y 2))
(pow.f64 (/.f64 x y) 2)
(/.f64 (pow.f64 x 2) (pow.f64 y 2))
(pow.f64 (/.f64 x y) 2)
(/.f64 (pow.f64 x 2) (pow.f64 y 2))
(pow.f64 (/.f64 x y) 2)
(/.f64 (pow.f64 x 2) (pow.f64 y 2))
(pow.f64 (/.f64 x y) 2)
(/.f64 (pow.f64 x 2) (pow.f64 y 2))
(pow.f64 (/.f64 x y) 2)
(/.f64 (pow.f64 x 2) (pow.f64 y 2))
(pow.f64 (/.f64 x y) 2)
(/.f64 (pow.f64 x 2) (pow.f64 y 2))
(pow.f64 (/.f64 x y) 2)
(/.f64 (pow.f64 x 2) (pow.f64 y 2))
(pow.f64 (/.f64 x y) 2)
(/.f64 (pow.f64 x 2) (pow.f64 y 2))
(pow.f64 (/.f64 x y) 2)
(/.f64 (pow.f64 x 2) (pow.f64 y 2))
(pow.f64 (/.f64 x y) 2)
(/.f64 (pow.f64 x 2) (pow.f64 y 2))
(pow.f64 (/.f64 x y) 2)
(/.f64 (pow.f64 x 2) (pow.f64 y 2))
(pow.f64 (/.f64 x y) 2)
(/.f64 (pow.f64 x 2) (pow.f64 y 2))
(pow.f64 (/.f64 x y) 2)
(/.f64 (pow.f64 x 2) (pow.f64 y 2))
(pow.f64 (/.f64 x y) 2)
(+.f64 (/.f64 x y) (neg.f64 (pow.f64 (/.f64 x y) 2)))
(-.f64 (/.f64 x y) (pow.f64 (/.f64 x y) 2))
(*.f64 (/.f64 x y) (-.f64 1 (/.f64 x y)))
(+.f64 (/.f64 x y) (*.f64 (neg.f64 (pow.f64 (/.f64 x y) 2)) 1))
(-.f64 (/.f64 x y) (pow.f64 (/.f64 x y) 2))
(*.f64 (/.f64 x y) (-.f64 1 (/.f64 x y)))
(+.f64 (-.f64 (/.f64 x y) (pow.f64 (/.f64 x y) 2)) (fma.f64 (/.f64 (neg.f64 x) y) (/.f64 x y) (pow.f64 (/.f64 x y) 2)))
(+.f64 (.f64 (/.f64 x y) (-.f64 1 (/.f64 x y))) (.f64 0 (pow.f64 (/.f64 x y) 2)))
(+.f64 (pow.f64 (/.f64 x y) 2) (-.f64 (/.f64 x y) (*.f64 (pow.f64 (/.f64 x y) 2) 2)))
(+.f64 (-.f64 (/.f64 x y) (pow.f64 (/.f64 x y) 2)) (fma.f64 (neg.f64 (pow.f64 (/.f64 x y) 2)) 1 (pow.f64 (/.f64 x y) 2)))
(+.f64 (-.f64 (/.f64 x y) (pow.f64 (/.f64 x y) 2)) (fma.f64 (/.f64 (neg.f64 x) y) (/.f64 x y) (pow.f64 (/.f64 x y) 2)))
(+.f64 (.f64 (/.f64 x y) (-.f64 1 (/.f64 x y))) (.f64 0 (pow.f64 (/.f64 x y) 2)))
(+.f64 (pow.f64 (/.f64 x y) 2) (-.f64 (/.f64 x y) (*.f64 (pow.f64 (/.f64 x y) 2) 2)))
(+.f64 (-.f64 (/.f64 x y) (pow.f64 (/.f64 x y) 2)) (fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (/.f64 x y)) 2)) (cbrt.f64 (pow.f64 (/.f64 x y) 4)) (pow.f64 (/.f64 x y) 2)))
(+.f64 (*.f64 (/.f64 x y) (-.f64 1 (/.f64 x y))) (fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (/.f64 x y)) 2)) (cbrt.f64 (pow.f64 (/.f64 x y) 4)) (pow.f64 (/.f64 x y) 2)))
(+.f64 (/.f64 x y) (+.f64 (.f64 (pow.f64 (/.f64 x y) 2) 0) (.f64 (neg.f64 (pow.f64 (cbrt.f64 (/.f64 x y)) 2)) (cbrt.f64 (pow.f64 (/.f64 x y) 4)))))
(+.f64 (neg.f64 (pow.f64 (/.f64 x y) 2)) (/.f64 x y))
(-.f64 (/.f64 x y) (pow.f64 (/.f64 x y) 2))
(*.f64 (/.f64 x y) (-.f64 1 (/.f64 x y)))
(*.f64 (/.f64 x y) (+.f64 1 (/.f64 (neg.f64 x) y)))
(-.f64 (/.f64 x y) (pow.f64 (/.f64 x y) 2))
(*.f64 (/.f64 x y) (-.f64 1 (/.f64 x y)))
(*.f64 (/.f64 x y) (-.f64 1 (/.f64 x y)))
(-.f64 (/.f64 x y) (pow.f64 (/.f64 x y) 2))
(*.f64 (-.f64 (/.f64 x y) (pow.f64 (/.f64 x y) 2)) 1)
(-.f64 (/.f64 x y) (pow.f64 (/.f64 x y) 2))
(*.f64 (/.f64 x y) (-.f64 1 (/.f64 x y)))
(*.f64 1 (-.f64 (/.f64 x y) (pow.f64 (/.f64 x y) 2)))
(-.f64 (/.f64 x y) (pow.f64 (/.f64 x y) 2))
(*.f64 (/.f64 x y) (-.f64 1 (/.f64 x y)))
(*.f64 (sqrt.f64 (-.f64 (/.f64 x y) (pow.f64 (/.f64 x y) 2))) (sqrt.f64 (-.f64 (/.f64 x y) (pow.f64 (/.f64 x y) 2))))
(-.f64 (/.f64 x y) (pow.f64 (/.f64 x y) 2))
(*.f64 (/.f64 x y) (-.f64 1 (/.f64 x y)))
(*.f64 (cbrt.f64 (-.f64 (/.f64 x y) (pow.f64 (/.f64 x y) 2))) (pow.f64 (cbrt.f64 (-.f64 (/.f64 x y) (pow.f64 (/.f64 x y) 2))) 2))
(-.f64 (/.f64 x y) (pow.f64 (/.f64 x y) 2))
(*.f64 (/.f64 x y) (-.f64 1 (/.f64 x y)))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 (/.f64 x y) (pow.f64 (/.f64 x y) 2))) 2) (cbrt.f64 (-.f64 (/.f64 x y) (pow.f64 (/.f64 x y) 2))))
(-.f64 (/.f64 x y) (pow.f64 (/.f64 x y) 2))
(*.f64 (/.f64 x y) (-.f64 1 (/.f64 x y)))
(*.f64 (-.f64 (pow.f64 (/.f64 x y) 2) (pow.f64 (/.f64 x y) 4)) (/.f64 1 (+.f64 (/.f64 x y) (pow.f64 (/.f64 x y) 2))))
(/.f64 (-.f64 (pow.f64 (/.f64 x y) 2) (pow.f64 (/.f64 x y) 4)) (+.f64 (/.f64 x y) (pow.f64 (/.f64 x y) 2)))
(*.f64 (-.f64 (pow.f64 (/.f64 x y) 3) (pow.f64 (/.f64 x y) 6)) (/.f64 1 (+.f64 (pow.f64 (/.f64 x y) 2) (+.f64 (pow.f64 (/.f64 x y) 4) (pow.f64 (/.f64 x y) 3)))))
(/.f64 (-.f64 (pow.f64 (/.f64 x y) 3) (pow.f64 (/.f64 x y) 6)) (+.f64 (pow.f64 (/.f64 x y) 2) (+.f64 (pow.f64 (/.f64 x y) 4) (pow.f64 (/.f64 x y) 3))))
(*.f64 (+.f64 (/.f64 (neg.f64 x) y) 1) (/.f64 x y))
(-.f64 (/.f64 x y) (pow.f64 (/.f64 x y) 2))
(*.f64 (/.f64 x y) (-.f64 1 (/.f64 x y)))
(*.f64 (+.f64 (sqrt.f64 (/.f64 x y)) (/.f64 x y)) (-.f64 (sqrt.f64 (/.f64 x y)) (/.f64 x y)))
(*.f64 (+.f64 (/.f64 x y) (sqrt.f64 (/.f64 x y))) (-.f64 (sqrt.f64 (/.f64 x y)) (/.f64 x y)))
(/.f64 1 (/.f64 (+.f64 (/.f64 x y) (pow.f64 (/.f64 x y) 2)) (-.f64 (pow.f64 (/.f64 x y) 2) (pow.f64 (/.f64 x y) 4))))
(*.f64 (-.f64 (pow.f64 (/.f64 x y) 2) (pow.f64 (/.f64 x y) 4)) (/.f64 1 (+.f64 (/.f64 x y) (pow.f64 (/.f64 x y) 2))))
(/.f64 (-.f64 (pow.f64 (/.f64 x y) 2) (pow.f64 (/.f64 x y) 4)) (+.f64 (/.f64 x y) (pow.f64 (/.f64 x y) 2)))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (/.f64 x y) 2) (+.f64 (pow.f64 (/.f64 x y) 4) (pow.f64 (/.f64 x y) 3))) (-.f64 (pow.f64 (/.f64 x y) 3) (pow.f64 (/.f64 x y) 6))))
(*.f64 (-.f64 (pow.f64 (/.f64 x y) 3) (pow.f64 (/.f64 x y) 6)) (/.f64 1 (+.f64 (pow.f64 (/.f64 x y) 2) (+.f64 (pow.f64 (/.f64 x y) 4) (pow.f64 (/.f64 x y) 3)))))
(/.f64 (-.f64 (pow.f64 (/.f64 x y) 3) (pow.f64 (/.f64 x y) 6)) (+.f64 (pow.f64 (/.f64 x y) 2) (+.f64 (pow.f64 (/.f64 x y) 4) (pow.f64 (/.f64 x y) 3))))
(/.f64 (-.f64 (pow.f64 (/.f64 x y) 2) (pow.f64 (/.f64 x y) 4)) (+.f64 (/.f64 x y) (pow.f64 (/.f64 x y) 2)))
(*.f64 (-.f64 (pow.f64 (/.f64 x y) 2) (pow.f64 (/.f64 x y) 4)) (/.f64 1 (+.f64 (/.f64 x y) (pow.f64 (/.f64 x y) 2))))
(/.f64 (-.f64 (pow.f64 (/.f64 x y) 3) (pow.f64 (/.f64 x y) 6)) (+.f64 (pow.f64 (/.f64 x y) 2) (+.f64 (pow.f64 (/.f64 x y) 4) (pow.f64 (/.f64 x y) 3))))
(*.f64 (-.f64 (pow.f64 (/.f64 x y) 3) (pow.f64 (/.f64 x y) 6)) (/.f64 1 (+.f64 (pow.f64 (/.f64 x y) 2) (+.f64 (pow.f64 (/.f64 x y) 4) (pow.f64 (/.f64 x y) 3)))))
(/.f64 (-.f64 (pow.f64 (/.f64 x y) 2) (*.f64 (neg.f64 (pow.f64 (/.f64 x y) 2)) (neg.f64 (pow.f64 (/.f64 x y) 2)))) (-.f64 (/.f64 x y) (neg.f64 (pow.f64 (/.f64 x y) 2))))
(*.f64 (-.f64 (pow.f64 (/.f64 x y) 2) (pow.f64 (/.f64 x y) 4)) (/.f64 1 (+.f64 (/.f64 x y) (pow.f64 (/.f64 x y) 2))))
(/.f64 (-.f64 (pow.f64 (/.f64 x y) 2) (pow.f64 (/.f64 x y) 4)) (+.f64 (/.f64 x y) (pow.f64 (/.f64 x y) 2)))
(/.f64 (+.f64 (pow.f64 (/.f64 x y) 3) (pow.f64 (neg.f64 (pow.f64 (/.f64 x y) 2)) 3)) (+.f64 (pow.f64 (/.f64 x y) 2) (-.f64 (.f64 (neg.f64 (pow.f64 (/.f64 x y) 2)) (neg.f64 (pow.f64 (/.f64 x y) 2))) (.f64 (/.f64 x y) (neg.f64 (pow.f64 (/.f64 x y) 2))))))
(*.f64 (-.f64 (pow.f64 (/.f64 x y) 3) (pow.f64 (/.f64 x y) 6)) (/.f64 1 (+.f64 (pow.f64 (/.f64 x y) 2) (+.f64 (pow.f64 (/.f64 x y) 4) (pow.f64 (/.f64 x y) 3)))))
(/.f64 (-.f64 (pow.f64 (/.f64 x y) 3) (pow.f64 (/.f64 x y) 6)) (+.f64 (pow.f64 (/.f64 x y) 2) (+.f64 (pow.f64 (/.f64 x y) 4) (pow.f64 (/.f64 x y) 3))))
(/.f64 (-.f64 x (/.f64 (*.f64 x x) y)) y)
(-.f64 (/.f64 x y) (pow.f64 (/.f64 x y) 2))
(*.f64 (/.f64 x y) (-.f64 1 (/.f64 x y)))
(/.f64 (-.f64 (.f64 x (.f64 y y)) (.f64 y (.f64 x x))) (pow.f64 y 3))
(/.f64 (.f64 (.f64 x y) (-.f64 y x)) (pow.f64 y 3))
(/.f64 (.f64 y (.f64 x (-.f64 y x))) (pow.f64 y 3))
(/.f64 (-.f64 (.f64 x y) (.f64 y (/.f64 (.f64 x x) y))) (.f64 y y))
(/.f64 (-.f64 (.f64 x y) (.f64 y (/.f64 x (/.f64 y x)))) (*.f64 y y))
(/.f64 (.f64 y (-.f64 x (/.f64 (.f64 x x) y))) (*.f64 y y))
(.f64 (/.f64 y (.f64 y y)) (-.f64 x (/.f64 x (/.f64 y x))))
(/.f64 (-.f64 (.f64 y y) (.f64 (/.f64 y x) (.f64 x x))) (.f64 (/.f64 y x) (*.f64 y y)))
(/.f64 (-.f64 (.f64 y y) (.f64 (*.f64 x x) (/.f64 y x))) (/.f64 (pow.f64 y 3) x))
(.f64 (/.f64 (-.f64 (.f64 y y) (.f64 x (.f64 x (/.f64 y x)))) (pow.f64 y 3)) x)
(.f64 x (/.f64 (-.f64 (.f64 y y) (.f64 x (.f64 x (/.f64 y x)))) (pow.f64 y 3)))
(/.f64 (-.f64 y (.f64 (/.f64 y x) (/.f64 (.f64 x x) y))) (*.f64 (/.f64 y x) y))
(/.f64 (-.f64 y (.f64 (/.f64 x (/.f64 y x)) (/.f64 y x))) (.f64 y (/.f64 y x)))
(.f64 (/.f64 (-.f64 y (.f64 (/.f64 (*.f64 x x) y) (/.f64 y x))) y) (/.f64 x y))
(-.f64 (.f64 (/.f64 (/.f64 y y) y) x) (.f64 (pow.f64 (/.f64 x y) 3) (/.f64 y x)))
(/.f64 (-.f64 (.f64 (neg.f64 x) (.f64 y y)) (.f64 (neg.f64 y) (.f64 x x))) (.f64 (neg.f64 y) (.f64 y y)))
(/.f64 (-.f64 (.f64 x (.f64 y y)) (.f64 y (.f64 x x))) (pow.f64 y 3))
(/.f64 (.f64 (.f64 x y) (-.f64 y x)) (pow.f64 y 3))
(/.f64 (.f64 y (.f64 x (-.f64 y x))) (pow.f64 y 3))
(/.f64 (-.f64 (.f64 (neg.f64 x) y) (.f64 (neg.f64 y) (/.f64 (.f64 x x) y))) (.f64 (neg.f64 y) y))
(/.f64 (-.f64 (.f64 x y) (.f64 y (/.f64 x (/.f64 y x)))) (*.f64 y y))
(/.f64 (.f64 y (-.f64 x (/.f64 (.f64 x x) y))) (*.f64 y y))
(.f64 (/.f64 y (.f64 y y)) (-.f64 x (/.f64 x (/.f64 y x))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 x y) 2) (pow.f64 (/.f64 x y) 4))) (neg.f64 (+.f64 (/.f64 x y) (pow.f64 (/.f64 x y) 2))))
(*.f64 (-.f64 (pow.f64 (/.f64 x y) 2) (pow.f64 (/.f64 x y) 4)) (/.f64 1 (+.f64 (/.f64 x y) (pow.f64 (/.f64 x y) 2))))
(/.f64 (-.f64 (pow.f64 (/.f64 x y) 2) (pow.f64 (/.f64 x y) 4)) (+.f64 (/.f64 x y) (pow.f64 (/.f64 x y) 2)))
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 x y) 3) (pow.f64 (/.f64 x y) 6))) (neg.f64 (+.f64 (pow.f64 (/.f64 x y) 2) (+.f64 (pow.f64 (/.f64 x y) 4) (pow.f64 (/.f64 x y) 3)))))
(*.f64 (-.f64 (pow.f64 (/.f64 x y) 3) (pow.f64 (/.f64 x y) 6)) (/.f64 1 (+.f64 (pow.f64 (/.f64 x y) 2) (+.f64 (pow.f64 (/.f64 x y) 4) (pow.f64 (/.f64 x y) 3)))))
(/.f64 (-.f64 (pow.f64 (/.f64 x y) 3) (pow.f64 (/.f64 x y) 6)) (+.f64 (pow.f64 (/.f64 x y) 2) (+.f64 (pow.f64 (/.f64 x y) 4) (pow.f64 (/.f64 x y) 3))))
(pow.f64 (-.f64 (/.f64 x y) (pow.f64 (/.f64 x y) 2)) 1)
(-.f64 (/.f64 x y) (pow.f64 (/.f64 x y) 2))
(*.f64 (/.f64 x y) (-.f64 1 (/.f64 x y)))
(pow.f64 (sqrt.f64 (-.f64 (/.f64 x y) (pow.f64 (/.f64 x y) 2))) 2)
(-.f64 (/.f64 x y) (pow.f64 (/.f64 x y) 2))
(*.f64 (/.f64 x y) (-.f64 1 (/.f64 x y)))
(pow.f64 (cbrt.f64 (-.f64 (/.f64 x y) (pow.f64 (/.f64 x y) 2))) 3)
(-.f64 (/.f64 x y) (pow.f64 (/.f64 x y) 2))
(*.f64 (/.f64 x y) (-.f64 1 (/.f64 x y)))
(pow.f64 (pow.f64 (-.f64 (/.f64 x y) (pow.f64 (/.f64 x y) 2)) 3) 1/3)
(-.f64 (/.f64 x y) (pow.f64 (/.f64 x y) 2))
(*.f64 (/.f64 x y) (-.f64 1 (/.f64 x y)))
(sqrt.f64 (pow.f64 (-.f64 (/.f64 x y) (pow.f64 (/.f64 x y) 2)) 2))
(fabs.f64 (*.f64 (/.f64 x y) (-.f64 1 (/.f64 x y))))
(log.f64 (exp.f64 (-.f64 (/.f64 x y) (pow.f64 (/.f64 x y) 2))))
(-.f64 (/.f64 x y) (pow.f64 (/.f64 x y) 2))
(*.f64 (/.f64 x y) (-.f64 1 (/.f64 x y)))
(log.f64 (+.f64 1 (expm1.f64 (-.f64 (/.f64 x y) (pow.f64 (/.f64 x y) 2)))))
(-.f64 (/.f64 x y) (pow.f64 (/.f64 x y) 2))
(*.f64 (/.f64 x y) (-.f64 1 (/.f64 x y)))
(cbrt.f64 (pow.f64 (-.f64 (/.f64 x y) (pow.f64 (/.f64 x y) 2)) 3))
(-.f64 (/.f64 x y) (pow.f64 (/.f64 x y) 2))
(*.f64 (/.f64 x y) (-.f64 1 (/.f64 x y)))
(expm1.f64 (log1p.f64 (-.f64 (/.f64 x y) (pow.f64 (/.f64 x y) 2))))
(-.f64 (/.f64 x y) (pow.f64 (/.f64 x y) 2))
(*.f64 (/.f64 x y) (-.f64 1 (/.f64 x y)))
(exp.f64 (log.f64 (-.f64 (/.f64 x y) (pow.f64 (/.f64 x y) 2))))
(-.f64 (/.f64 x y) (pow.f64 (/.f64 x y) 2))
(*.f64 (/.f64 x y) (-.f64 1 (/.f64 x y)))
(exp.f64 (*.f64 (log.f64 (-.f64 (/.f64 x y) (pow.f64 (/.f64 x y) 2))) 1))
(-.f64 (/.f64 x y) (pow.f64 (/.f64 x y) 2))
(*.f64 (/.f64 x y) (-.f64 1 (/.f64 x y)))
(log1p.f64 (expm1.f64 (-.f64 (/.f64 x y) (pow.f64 (/.f64 x y) 2))))
(-.f64 (/.f64 x y) (pow.f64 (/.f64 x y) 2))
(*.f64 (/.f64 x y) (-.f64 1 (/.f64 x y)))
(fma.f64 x (/.f64 1 y) (neg.f64 (pow.f64 (/.f64 x y) 2)))
(-.f64 (/.f64 x y) (pow.f64 (/.f64 x y) 2))
(*.f64 (/.f64 x y) (-.f64 1 (/.f64 x y)))
(fma.f64 1 (/.f64 x y) (neg.f64 (pow.f64 (/.f64 x y) 2)))
(-.f64 (/.f64 x y) (pow.f64 (/.f64 x y) 2))
(*.f64 (/.f64 x y) (-.f64 1 (/.f64 x y)))
(fma.f64 (sqrt.f64 (/.f64 x y)) (sqrt.f64 (/.f64 x y)) (neg.f64 (pow.f64 (/.f64 x y) 2)))
(-.f64 (/.f64 x y) (pow.f64 (/.f64 x y) 2))
(*.f64 (/.f64 x y) (-.f64 1 (/.f64 x y)))
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 x y)) 2) (cbrt.f64 (/.f64 x y)) (neg.f64 (pow.f64 (/.f64 x y) 2)))
(-.f64 (/.f64 x y) (pow.f64 (/.f64 x y) 2))
(*.f64 (/.f64 x y) (-.f64 1 (/.f64 x y)))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (/.f64 x y) 2))) 1)
(pow.f64 (/.f64 x y) 2)
(/.f64 x (/.f64 (*.f64 y y) x))
(pow.f64 (/.f64 x y) 2)
(/.f64 x (/.f64 y (/.f64 x y)))
(pow.f64 (/.f64 x y) 2)
(/.f64 x (*.f64 (/.f64 y x) y))
(pow.f64 (/.f64 x y) 2)
(/.f64 x (*.f64 y (/.f64 y x)))
(pow.f64 (/.f64 x y) 2)
(/.f64 (/.f64 x y) (/.f64 y x))
(pow.f64 (/.f64 x y) 2)
(/.f64 1 (*.f64 (/.f64 y x) (/.f64 y x)))
(pow.f64 (/.f64 x y) 2)
(/.f64 1 (/.f64 (.f64 y y) (.f64 x x)))
(pow.f64 (/.f64 x y) 2)
(/.f64 1 (/.f64 y (/.f64 (*.f64 x x) y)))
(pow.f64 (/.f64 x y) 2)
(/.f64 (.f64 x x) (.f64 y y))
(pow.f64 (/.f64 x y) 2)
(/.f64 (/.f64 (*.f64 x x) y) y)
(pow.f64 (/.f64 x y) 2)
(/.f64 (neg.f64 x) (*.f64 (/.f64 y x) (neg.f64 y)))
(pow.f64 (/.f64 x y) 2)
(/.f64 (.f64 (neg.f64 x) (neg.f64 x)) (.f64 (neg.f64 y) (neg.f64 y)))
(pow.f64 (/.f64 x y) 2)
(/.f64 (.f64 x (neg.f64 x)) (.f64 y (neg.f64 y)))
(pow.f64 (/.f64 x y) 2)
(/.f64 (*.f64 (/.f64 x y) (neg.f64 x)) (neg.f64 y))
(pow.f64 (/.f64 x y) 2)
(/.f64 (.f64 (neg.f64 x) x) (.f64 (neg.f64 y) y))
(pow.f64 (/.f64 x y) 2)
(/.f64 (*.f64 (neg.f64 x) (/.f64 x y)) (neg.f64 y))
(pow.f64 (/.f64 x y) 2)
(/.f64 (/.f64 (/.f64 (*.f64 x x) y) 1) y)
(pow.f64 (/.f64 x y) 2)
(/.f64 (/.f64 (/.f64 (*.f64 x x) y) (sqrt.f64 y)) (sqrt.f64 y))
(pow.f64 (/.f64 x y) 2)
(/.f64 (/.f64 (/.f64 (*.f64 x x) y) (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 y))
(pow.f64 (/.f64 x y) 2)
(/.f64 (neg.f64 (.f64 x x)) (neg.f64 (.f64 y y)))
(pow.f64 (/.f64 x y) 2)
(/.f64 (neg.f64 (/.f64 (*.f64 x x) y)) (neg.f64 y))
(pow.f64 (/.f64 x y) 2)
(/.f64 (.f64 (neg.f64 x) 1) (.f64 (neg.f64 y) (/.f64 y x)))
(pow.f64 (/.f64 x y) 2)
(pow.f64 (/.f64 x y) 2)
(pow.f64 (pow.f64 (/.f64 x y) 2) 1)
(pow.f64 (/.f64 x y) 2)
(pow.f64 (pow.f64 (cbrt.f64 (/.f64 x y)) 2) 3)
(pow.f64 (/.f64 x y) 2)
(pow.f64 (pow.f64 (/.f64 x y) 6) 1/3)
(cbrt.f64 (pow.f64 (/.f64 x y) 6))
(sqrt.f64 (pow.f64 (/.f64 x y) 4))
(log.f64 (exp.f64 (pow.f64 (/.f64 x y) 2)))
(pow.f64 (/.f64 x y) 2)
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (/.f64 x y) 2))))
(pow.f64 (/.f64 x y) 2)
(cbrt.f64 (pow.f64 (/.f64 x y) 6))
(expm1.f64 (log1p.f64 (pow.f64 (/.f64 x y) 2)))
(pow.f64 (/.f64 x y) 2)
(exp.f64 (*.f64 2 (log.f64 (/.f64 x y))))
(pow.f64 (/.f64 x y) 2)
(exp.f64 (*.f64 (log.f64 (/.f64 x y)) 2))
(pow.f64 (/.f64 x y) 2)
(exp.f64 (.f64 (.f64 2 (log.f64 (/.f64 x y))) 1))
(pow.f64 (/.f64 x y) 2)
(log1p.f64 (expm1.f64 (pow.f64 (/.f64 x y) 2)))
(pow.f64 (/.f64 x y) 2)

localize3.0ms (0.1%)

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

eval89.0ms (3.7%)

Compiler: Compiled 2016 to 858 computations (57.4% saved)

prune19.0ms (0.8%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	143	1	144
Fresh	0	1	1
Picked	0	1	1
Done	1	2	3
Total	144	5	149

Error

Counts

149 → 5

Alt Table

Click to see full alt table

Status	Error	Program
✓	0.0b	(/.f64 x (+.f64 y x))
✓	35.3b	(/.f64 x y)
✓	28.3b	(-.f64 1 (/.f64 y x))
▶	35.8b	(*.f64 (/.f64 x y) (-.f64 1 (/.f64 x y)))
	28.1b	1

Compiler

Compiled 33 to 21 computations (36.4% saved)

localize8.0ms (0.3%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 22 to 9 computations (59.1% saved)

series4.0ms (0.2%)

Counts

2 → 48

Calls

12 calls:

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

rewrite74.0ms (3.1%)

Algorithm

1×	batch-egg-rewrite

Rules

1958×	`add-sqr-sqrt`
1942×	`*-un-lft-identity`
1816×	`add-cube-cbrt`
1794×	`add-cbrt-cube`
172×	`pow1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	38
1	170	38
2	2343	38

Stop Event

1×	node limit

Counts

2 → 71

Calls

Call 1

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

Outputs

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

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

simplify65.0ms (2.7%)

Algorithm

1×	egg-herbie

Rules

950×	`unswap-sqr`
826×	`associate-/l/`
800×	`associate-/r/`
752×	`distribute-lft-in`
686×	`*-commutative`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	181	3439
1	490	3045
2	2488	3029

Stop Event

1×	node limit

Counts

119 → 92

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))
1
(+.f64 1 (*.f64 -1 (/.f64 x y)))
(+.f64 1 (*.f64 -1 (/.f64 x y)))
(+.f64 1 (*.f64 -1 (/.f64 x y)))
(*.f64 -1 (/.f64 x y))
(+.f64 1 (*.f64 -1 (/.f64 x y)))
(+.f64 1 (*.f64 -1 (/.f64 x y)))
(+.f64 1 (*.f64 -1 (/.f64 x y)))
(*.f64 -1 (/.f64 x y))
(+.f64 1 (*.f64 -1 (/.f64 x y)))
(+.f64 1 (*.f64 -1 (/.f64 x y)))
(+.f64 1 (*.f64 -1 (/.f64 x y)))
(*.f64 -1 (/.f64 x y))
(+.f64 1 (*.f64 -1 (/.f64 x y)))
(+.f64 1 (*.f64 -1 (/.f64 x y)))
(+.f64 1 (*.f64 -1 (/.f64 x y)))
1
(+.f64 1 (*.f64 -1 (/.f64 x y)))
(+.f64 1 (*.f64 -1 (/.f64 x y)))
(+.f64 1 (*.f64 -1 (/.f64 x y)))
1
(+.f64 1 (*.f64 -1 (/.f64 x y)))
(+.f64 1 (*.f64 -1 (/.f64 x y)))
(+.f64 1 (*.f64 -1 (/.f64 x y)))
(+.f64 (/.f64 x y) (*.f64 (/.f64 x y) (/.f64 (neg.f64 x) y)))
(+.f64 (/.f64 x y) (*.f64 (/.f64 (neg.f64 x) y) (/.f64 x y)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (/.f64 x y) (-.f64 1 (/.f64 x y))))) 1)
(/.f64 x (/.f64 y (-.f64 1 (/.f64 x y))))
(/.f64 1 (/.f64 y (*.f64 x (-.f64 1 (/.f64 x y)))))
(/.f64 (-.f64 1 (/.f64 x y)) (/.f64 y x))
(/.f64 (*.f64 x (-.f64 1 (/.f64 x y))) y)
(/.f64 (-.f64 1 (pow.f64 (/.f64 x y) 2)) (*.f64 (/.f64 y x) (+.f64 (/.f64 x y) 1)))
(/.f64 (-.f64 1 (pow.f64 (/.f64 x y) 3)) (*.f64 (/.f64 y x) (+.f64 1 (+.f64 (/.f64 x y) (pow.f64 (/.f64 x y) 2)))))
(/.f64 (*.f64 (/.f64 x y) (-.f64 1 (pow.f64 (/.f64 x y) 2))) (+.f64 (/.f64 x y) 1))
(/.f64 (*.f64 (/.f64 x y) (-.f64 1 (pow.f64 (/.f64 x y) 3))) (+.f64 1 (+.f64 (/.f64 x y) (pow.f64 (/.f64 x y) 2))))
(/.f64 (*.f64 (-.f64 1 (/.f64 x y)) (neg.f64 x)) (neg.f64 y))
(/.f64 (.f64 x (-.f64 1 (pow.f64 (/.f64 x y) 2))) (.f64 y (+.f64 (/.f64 x y) 1)))
(/.f64 (.f64 x (-.f64 1 (pow.f64 (/.f64 x y) 3))) (.f64 y (+.f64 1 (+.f64 (/.f64 x y) (pow.f64 (/.f64 x y) 2)))))
(/.f64 (*.f64 (neg.f64 x) (-.f64 1 (/.f64 x y))) (neg.f64 y))
(/.f64 (*.f64 (-.f64 1 (pow.f64 (/.f64 x y) 2)) (/.f64 x y)) (+.f64 (/.f64 x y) 1))
(/.f64 (*.f64 (-.f64 1 (pow.f64 (/.f64 x y) 3)) (/.f64 x y)) (+.f64 1 (+.f64 (/.f64 x y) (pow.f64 (/.f64 x y) 2))))
(/.f64 (/.f64 (*.f64 x (-.f64 1 (/.f64 x y))) 1) y)
(/.f64 (/.f64 (*.f64 x (-.f64 1 (/.f64 x y))) (sqrt.f64 y)) (sqrt.f64 y))
(/.f64 (/.f64 (*.f64 x (-.f64 1 (/.f64 x y))) (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 y))
(/.f64 (.f64 (neg.f64 x) (-.f64 1 (pow.f64 (/.f64 x y) 2))) (.f64 (neg.f64 y) (+.f64 (/.f64 x y) 1)))
(/.f64 (.f64 (neg.f64 x) (-.f64 1 (pow.f64 (/.f64 x y) 3))) (.f64 (neg.f64 y) (+.f64 1 (+.f64 (/.f64 x y) (pow.f64 (/.f64 x y) 2)))))
(/.f64 (.f64 (-.f64 1 (pow.f64 (/.f64 x y) 2)) x) (.f64 (+.f64 (/.f64 x y) 1) y))
(/.f64 (.f64 (-.f64 1 (pow.f64 (/.f64 x y) 2)) 1) (.f64 (+.f64 (/.f64 x y) 1) (/.f64 y x)))
(/.f64 (.f64 (-.f64 1 (pow.f64 (/.f64 x y) 2)) (neg.f64 x)) (.f64 (+.f64 (/.f64 x y) 1) (neg.f64 y)))
(/.f64 (.f64 (-.f64 1 (pow.f64 (/.f64 x y) 3)) x) (.f64 (+.f64 1 (+.f64 (/.f64 x y) (pow.f64 (/.f64 x y) 2))) y))
(/.f64 (.f64 (-.f64 1 (pow.f64 (/.f64 x y) 3)) 1) (.f64 (+.f64 1 (+.f64 (/.f64 x y) (pow.f64 (/.f64 x y) 2))) (/.f64 y x)))
(/.f64 (.f64 (-.f64 1 (pow.f64 (/.f64 x y) 3)) (neg.f64 x)) (.f64 (+.f64 1 (+.f64 (/.f64 x y) (pow.f64 (/.f64 x y) 2))) (neg.f64 y)))
(/.f64 (neg.f64 (*.f64 x (-.f64 1 (/.f64 x y)))) (neg.f64 y))
(pow.f64 (*.f64 (/.f64 x y) (-.f64 1 (/.f64 x y))) 1)
(pow.f64 (sqrt.f64 (*.f64 (/.f64 x y) (-.f64 1 (/.f64 x y)))) 2)
(pow.f64 (cbrt.f64 (*.f64 (/.f64 x y) (-.f64 1 (/.f64 x y)))) 3)
(pow.f64 (pow.f64 (*.f64 (/.f64 x y) (-.f64 1 (/.f64 x y))) 3) 1/3)
(sqrt.f64 (pow.f64 (*.f64 (/.f64 x y) (-.f64 1 (/.f64 x y))) 2))
(log.f64 (pow.f64 (exp.f64 (/.f64 x y)) (-.f64 1 (/.f64 x y))))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (/.f64 x y) (-.f64 1 (/.f64 x y))))))
(cbrt.f64 (pow.f64 (*.f64 (/.f64 x y) (-.f64 1 (/.f64 x y))) 3))
(expm1.f64 (log1p.f64 (*.f64 (/.f64 x y) (-.f64 1 (/.f64 x y)))))
(exp.f64 (log.f64 (*.f64 (/.f64 x y) (-.f64 1 (/.f64 x y)))))
(exp.f64 (.f64 (log.f64 (.f64 (/.f64 x y) (-.f64 1 (/.f64 x y)))) 1))
(log1p.f64 (expm1.f64 (*.f64 (/.f64 x y) (-.f64 1 (/.f64 x y)))))
(+.f64 1 (/.f64 (neg.f64 x) y))
(+.f64 1 (*.f64 (/.f64 (neg.f64 x) y) 1))
(+.f64 (/.f64 (neg.f64 x) y) 1)
(*.f64 1 (-.f64 1 (/.f64 x y)))
(*.f64 (-.f64 1 (/.f64 x y)) 1)
(*.f64 (sqrt.f64 (-.f64 1 (/.f64 x y))) (sqrt.f64 (-.f64 1 (/.f64 x y))))
(*.f64 (cbrt.f64 (-.f64 1 (/.f64 x y))) (pow.f64 (cbrt.f64 (-.f64 1 (/.f64 x y))) 2))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 1 (/.f64 x y))) 2) (cbrt.f64 (-.f64 1 (/.f64 x y))))
(*.f64 (-.f64 1 (pow.f64 (/.f64 x y) 2)) (/.f64 1 (+.f64 (/.f64 x y) 1)))
(*.f64 (-.f64 1 (pow.f64 (/.f64 x y) 3)) (/.f64 1 (+.f64 1 (+.f64 (/.f64 x y) (pow.f64 (/.f64 x y) 2)))))
(/.f64 1 (/.f64 (+.f64 (/.f64 x y) 1) (-.f64 1 (pow.f64 (/.f64 x y) 2))))
(/.f64 1 (/.f64 (+.f64 1 (+.f64 (/.f64 x y) (pow.f64 (/.f64 x y) 2))) (-.f64 1 (pow.f64 (/.f64 x y) 3))))
(/.f64 (-.f64 1 (pow.f64 (/.f64 x y) 2)) (+.f64 (/.f64 x y) 1))
(/.f64 (-.f64 1 (pow.f64 (/.f64 x y) 3)) (+.f64 1 (+.f64 (/.f64 x y) (pow.f64 (/.f64 x y) 2))))
(/.f64 (-.f64 1 (*.f64 (/.f64 (neg.f64 x) y) (/.f64 (neg.f64 x) y))) (-.f64 1 (/.f64 (neg.f64 x) y)))
(/.f64 (+.f64 1 (pow.f64 (/.f64 (neg.f64 x) y) 3)) (+.f64 1 (-.f64 (*.f64 (/.f64 (neg.f64 x) y) (/.f64 (neg.f64 x) y)) (/.f64 (neg.f64 x) y))))
(/.f64 (neg.f64 (-.f64 1 (pow.f64 (/.f64 x y) 2))) (neg.f64 (+.f64 (/.f64 x y) 1)))
(/.f64 (neg.f64 (-.f64 1 (pow.f64 (/.f64 x y) 3))) (neg.f64 (+.f64 1 (+.f64 (/.f64 x y) (pow.f64 (/.f64 x y) 2)))))
(pow.f64 (-.f64 1 (/.f64 x y)) 1)
(pow.f64 (sqrt.f64 (-.f64 1 (/.f64 x y))) 2)
(pow.f64 (cbrt.f64 (-.f64 1 (/.f64 x y))) 3)
(pow.f64 (pow.f64 (-.f64 1 (/.f64 x y)) 3) 1/3)
(sqrt.f64 (pow.f64 (-.f64 1 (/.f64 x y)) 2))
(log.f64 (exp.f64 (-.f64 1 (/.f64 x y))))
(log.f64 (+.f64 1 (expm1.f64 (-.f64 1 (/.f64 x y)))))
(cbrt.f64 (pow.f64 (-.f64 1 (/.f64 x y)) 3))
(expm1.f64 (log1p.f64 (-.f64 1 (/.f64 x y))))
(exp.f64 (log1p.f64 (/.f64 (neg.f64 x) y)))
(exp.f64 (*.f64 (log1p.f64 (/.f64 (neg.f64 x) y)) 1))
(log1p.f64 (expm1.f64 (-.f64 1 (/.f64 x y))))

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) (pow.f64 (/.f64 x y) 2))
(+.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) (pow.f64 (/.f64 x y) 2))
(+.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) (pow.f64 (/.f64 x y) 2))
(*.f64 -1 (/.f64 (pow.f64 x 2) (pow.f64 y 2)))
(neg.f64 (/.f64 (.f64 x x) (.f64 y y)))
(neg.f64 (pow.f64 (/.f64 x y) 2))
(+.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) (pow.f64 (/.f64 x y) 2))
(+.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) (pow.f64 (/.f64 x y) 2))
(+.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) (pow.f64 (/.f64 x y) 2))
(*.f64 -1 (/.f64 (pow.f64 x 2) (pow.f64 y 2)))
(neg.f64 (/.f64 (.f64 x x) (.f64 y y)))
(neg.f64 (pow.f64 (/.f64 x y) 2))
(+.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) (pow.f64 (/.f64 x y) 2))
(+.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) (pow.f64 (/.f64 x y) 2))
(+.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) (pow.f64 (/.f64 x y) 2))
(*.f64 -1 (/.f64 (pow.f64 x 2) (pow.f64 y 2)))
(neg.f64 (/.f64 (.f64 x x) (.f64 y y)))
(neg.f64 (pow.f64 (/.f64 x y) 2))
(+.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) (pow.f64 (/.f64 x y) 2))
(+.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) (pow.f64 (/.f64 x y) 2))
(+.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) (pow.f64 (/.f64 x y) 2))
(/.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) (pow.f64 (/.f64 x y) 2))
(+.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) (pow.f64 (/.f64 x y) 2))
(+.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) (pow.f64 (/.f64 x y) 2))
(/.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) (pow.f64 (/.f64 x y) 2))
(+.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) (pow.f64 (/.f64 x y) 2))
(+.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) (pow.f64 (/.f64 x y) 2))
1
(+.f64 1 (*.f64 -1 (/.f64 x y)))
(-.f64 1 (/.f64 x y))
(+.f64 1 (*.f64 -1 (/.f64 x y)))
(-.f64 1 (/.f64 x y))
(+.f64 1 (*.f64 -1 (/.f64 x y)))
(-.f64 1 (/.f64 x y))
(*.f64 -1 (/.f64 x y))
(/.f64 (neg.f64 x) y)
(/.f64 x (neg.f64 y))
(+.f64 1 (*.f64 -1 (/.f64 x y)))
(-.f64 1 (/.f64 x y))
(+.f64 1 (*.f64 -1 (/.f64 x y)))
(-.f64 1 (/.f64 x y))
(+.f64 1 (*.f64 -1 (/.f64 x y)))
(-.f64 1 (/.f64 x y))
(*.f64 -1 (/.f64 x y))
(/.f64 (neg.f64 x) y)
(/.f64 x (neg.f64 y))
(+.f64 1 (*.f64 -1 (/.f64 x y)))
(-.f64 1 (/.f64 x y))
(+.f64 1 (*.f64 -1 (/.f64 x y)))
(-.f64 1 (/.f64 x y))
(+.f64 1 (*.f64 -1 (/.f64 x y)))
(-.f64 1 (/.f64 x y))
(*.f64 -1 (/.f64 x y))
(/.f64 (neg.f64 x) y)
(/.f64 x (neg.f64 y))
(+.f64 1 (*.f64 -1 (/.f64 x y)))
(-.f64 1 (/.f64 x y))
(+.f64 1 (*.f64 -1 (/.f64 x y)))
(-.f64 1 (/.f64 x y))
(+.f64 1 (*.f64 -1 (/.f64 x y)))
(-.f64 1 (/.f64 x y))
1
(+.f64 1 (*.f64 -1 (/.f64 x y)))
(-.f64 1 (/.f64 x y))
(+.f64 1 (*.f64 -1 (/.f64 x y)))
(-.f64 1 (/.f64 x y))
(+.f64 1 (*.f64 -1 (/.f64 x y)))
(-.f64 1 (/.f64 x y))
1
(+.f64 1 (*.f64 -1 (/.f64 x y)))
(-.f64 1 (/.f64 x y))
(+.f64 1 (*.f64 -1 (/.f64 x y)))
(-.f64 1 (/.f64 x y))
(+.f64 1 (*.f64 -1 (/.f64 x y)))
(-.f64 1 (/.f64 x y))
(+.f64 (/.f64 x y) (*.f64 (/.f64 x y) (/.f64 (neg.f64 x) y)))
(fma.f64 -1 (/.f64 (.f64 x x) (.f64 y y)) (/.f64 x y))
(-.f64 (/.f64 x y) (pow.f64 (/.f64 x y) 2))
(+.f64 (/.f64 x y) (*.f64 (/.f64 (neg.f64 x) y) (/.f64 x y)))
(fma.f64 -1 (/.f64 (.f64 x x) (.f64 y y)) (/.f64 x y))
(-.f64 (/.f64 x y) (pow.f64 (/.f64 x y) 2))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (/.f64 x y) (-.f64 1 (/.f64 x y))))) 1)
(fma.f64 -1 (/.f64 (.f64 x x) (.f64 y y)) (/.f64 x y))
(-.f64 (/.f64 x y) (pow.f64 (/.f64 x y) 2))
(/.f64 x (/.f64 y (-.f64 1 (/.f64 x y))))
(fma.f64 -1 (/.f64 (.f64 x x) (.f64 y y)) (/.f64 x y))
(-.f64 (/.f64 x y) (pow.f64 (/.f64 x y) 2))
(/.f64 1 (/.f64 y (*.f64 x (-.f64 1 (/.f64 x y)))))
(fma.f64 -1 (/.f64 (.f64 x x) (.f64 y y)) (/.f64 x y))
(-.f64 (/.f64 x y) (pow.f64 (/.f64 x y) 2))
(/.f64 (-.f64 1 (/.f64 x y)) (/.f64 y x))
(fma.f64 -1 (/.f64 (.f64 x x) (.f64 y y)) (/.f64 x y))
(-.f64 (/.f64 x y) (pow.f64 (/.f64 x y) 2))
(/.f64 (*.f64 x (-.f64 1 (/.f64 x y))) y)
(fma.f64 -1 (/.f64 (.f64 x x) (.f64 y y)) (/.f64 x y))
(-.f64 (/.f64 x y) (pow.f64 (/.f64 x y) 2))
(/.f64 (-.f64 1 (pow.f64 (/.f64 x y) 2)) (*.f64 (/.f64 y x) (+.f64 (/.f64 x y) 1)))
(*.f64 (/.f64 x y) (/.f64 (-.f64 1 (pow.f64 (/.f64 x y) 2)) (+.f64 (/.f64 x y) 1)))
(/.f64 (*.f64 x (-.f64 1 (pow.f64 (/.f64 x y) 2))) (fma.f64 y (/.f64 x y) y))
(/.f64 (-.f64 (/.f64 x y) (pow.f64 (/.f64 x y) 3)) (+.f64 (/.f64 x y) 1))
(/.f64 (-.f64 1 (pow.f64 (/.f64 x y) 3)) (*.f64 (/.f64 y x) (+.f64 1 (+.f64 (/.f64 x y) (pow.f64 (/.f64 x y) 2)))))
(/.f64 (/.f64 x y) (/.f64 (+.f64 1 (+.f64 (/.f64 x y) (pow.f64 (/.f64 x y) 2))) (-.f64 1 (pow.f64 (/.f64 x y) 3))))
(*.f64 (/.f64 x (+.f64 (/.f64 x y) (+.f64 1 (pow.f64 (/.f64 x y) 2)))) (/.f64 (-.f64 1 (pow.f64 (/.f64 x y) 3)) y))
(/.f64 (*.f64 x (/.f64 (-.f64 1 (pow.f64 (/.f64 x y) 3)) y)) (+.f64 (/.f64 x y) (+.f64 1 (pow.f64 (/.f64 x y) 2))))
(/.f64 (*.f64 (/.f64 x y) (-.f64 1 (pow.f64 (/.f64 x y) 2))) (+.f64 (/.f64 x y) 1))
(*.f64 (/.f64 x y) (/.f64 (-.f64 1 (pow.f64 (/.f64 x y) 2)) (+.f64 (/.f64 x y) 1)))
(/.f64 (*.f64 x (-.f64 1 (pow.f64 (/.f64 x y) 2))) (fma.f64 y (/.f64 x y) y))
(/.f64 (-.f64 (/.f64 x y) (pow.f64 (/.f64 x y) 3)) (+.f64 (/.f64 x y) 1))
(/.f64 (*.f64 (/.f64 x y) (-.f64 1 (pow.f64 (/.f64 x y) 3))) (+.f64 1 (+.f64 (/.f64 x y) (pow.f64 (/.f64 x y) 2))))
(/.f64 (/.f64 x y) (/.f64 (+.f64 1 (+.f64 (/.f64 x y) (pow.f64 (/.f64 x y) 2))) (-.f64 1 (pow.f64 (/.f64 x y) 3))))
(*.f64 (/.f64 x (+.f64 (/.f64 x y) (+.f64 1 (pow.f64 (/.f64 x y) 2)))) (/.f64 (-.f64 1 (pow.f64 (/.f64 x y) 3)) y))
(/.f64 (*.f64 x (/.f64 (-.f64 1 (pow.f64 (/.f64 x y) 3)) y)) (+.f64 (/.f64 x y) (+.f64 1 (pow.f64 (/.f64 x y) 2))))
(/.f64 (*.f64 (-.f64 1 (/.f64 x y)) (neg.f64 x)) (neg.f64 y))
(fma.f64 -1 (/.f64 (.f64 x x) (.f64 y y)) (/.f64 x y))
(-.f64 (/.f64 x y) (pow.f64 (/.f64 x y) 2))
(/.f64 (.f64 x (-.f64 1 (pow.f64 (/.f64 x y) 2))) (.f64 y (+.f64 (/.f64 x y) 1)))
(*.f64 (/.f64 x y) (/.f64 (-.f64 1 (pow.f64 (/.f64 x y) 2)) (+.f64 (/.f64 x y) 1)))
(/.f64 (*.f64 x (-.f64 1 (pow.f64 (/.f64 x y) 2))) (fma.f64 y (/.f64 x y) y))
(/.f64 (-.f64 (/.f64 x y) (pow.f64 (/.f64 x y) 3)) (+.f64 (/.f64 x y) 1))
(/.f64 (.f64 x (-.f64 1 (pow.f64 (/.f64 x y) 3))) (.f64 y (+.f64 1 (+.f64 (/.f64 x y) (pow.f64 (/.f64 x y) 2)))))
(/.f64 (/.f64 x y) (/.f64 (+.f64 1 (+.f64 (/.f64 x y) (pow.f64 (/.f64 x y) 2))) (-.f64 1 (pow.f64 (/.f64 x y) 3))))
(*.f64 (/.f64 x (+.f64 (/.f64 x y) (+.f64 1 (pow.f64 (/.f64 x y) 2)))) (/.f64 (-.f64 1 (pow.f64 (/.f64 x y) 3)) y))
(/.f64 (*.f64 x (/.f64 (-.f64 1 (pow.f64 (/.f64 x y) 3)) y)) (+.f64 (/.f64 x y) (+.f64 1 (pow.f64 (/.f64 x y) 2))))
(/.f64 (*.f64 (neg.f64 x) (-.f64 1 (/.f64 x y))) (neg.f64 y))
(fma.f64 -1 (/.f64 (.f64 x x) (.f64 y y)) (/.f64 x y))
(-.f64 (/.f64 x y) (pow.f64 (/.f64 x y) 2))
(/.f64 (*.f64 (-.f64 1 (pow.f64 (/.f64 x y) 2)) (/.f64 x y)) (+.f64 (/.f64 x y) 1))
(*.f64 (/.f64 x y) (/.f64 (-.f64 1 (pow.f64 (/.f64 x y) 2)) (+.f64 (/.f64 x y) 1)))
(/.f64 (*.f64 x (-.f64 1 (pow.f64 (/.f64 x y) 2))) (fma.f64 y (/.f64 x y) y))
(/.f64 (-.f64 (/.f64 x y) (pow.f64 (/.f64 x y) 3)) (+.f64 (/.f64 x y) 1))
(/.f64 (*.f64 (-.f64 1 (pow.f64 (/.f64 x y) 3)) (/.f64 x y)) (+.f64 1 (+.f64 (/.f64 x y) (pow.f64 (/.f64 x y) 2))))
(/.f64 (/.f64 x y) (/.f64 (+.f64 1 (+.f64 (/.f64 x y) (pow.f64 (/.f64 x y) 2))) (-.f64 1 (pow.f64 (/.f64 x y) 3))))
(*.f64 (/.f64 x (+.f64 (/.f64 x y) (+.f64 1 (pow.f64 (/.f64 x y) 2)))) (/.f64 (-.f64 1 (pow.f64 (/.f64 x y) 3)) y))
(/.f64 (*.f64 x (/.f64 (-.f64 1 (pow.f64 (/.f64 x y) 3)) y)) (+.f64 (/.f64 x y) (+.f64 1 (pow.f64 (/.f64 x y) 2))))
(/.f64 (/.f64 (*.f64 x (-.f64 1 (/.f64 x y))) 1) y)
(fma.f64 -1 (/.f64 (.f64 x x) (.f64 y y)) (/.f64 x y))
(-.f64 (/.f64 x y) (pow.f64 (/.f64 x y) 2))
(/.f64 (/.f64 (*.f64 x (-.f64 1 (/.f64 x y))) (sqrt.f64 y)) (sqrt.f64 y))
(fma.f64 -1 (/.f64 (.f64 x x) (.f64 y y)) (/.f64 x y))
(-.f64 (/.f64 x y) (pow.f64 (/.f64 x y) 2))
(/.f64 (/.f64 (*.f64 x (-.f64 1 (/.f64 x y))) (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 y))
(fma.f64 -1 (/.f64 (.f64 x x) (.f64 y y)) (/.f64 x y))
(-.f64 (/.f64 x y) (pow.f64 (/.f64 x y) 2))
(/.f64 (.f64 (neg.f64 x) (-.f64 1 (pow.f64 (/.f64 x y) 2))) (.f64 (neg.f64 y) (+.f64 (/.f64 x y) 1)))
(*.f64 (/.f64 x y) (/.f64 (-.f64 1 (pow.f64 (/.f64 x y) 2)) (+.f64 (/.f64 x y) 1)))
(/.f64 (*.f64 x (-.f64 1 (pow.f64 (/.f64 x y) 2))) (fma.f64 y (/.f64 x y) y))
(/.f64 (-.f64 (/.f64 x y) (pow.f64 (/.f64 x y) 3)) (+.f64 (/.f64 x y) 1))
(/.f64 (.f64 (neg.f64 x) (-.f64 1 (pow.f64 (/.f64 x y) 3))) (.f64 (neg.f64 y) (+.f64 1 (+.f64 (/.f64 x y) (pow.f64 (/.f64 x y) 2)))))
(/.f64 (/.f64 x y) (/.f64 (+.f64 1 (+.f64 (/.f64 x y) (pow.f64 (/.f64 x y) 2))) (-.f64 1 (pow.f64 (/.f64 x y) 3))))
(*.f64 (/.f64 x (+.f64 (/.f64 x y) (+.f64 1 (pow.f64 (/.f64 x y) 2)))) (/.f64 (-.f64 1 (pow.f64 (/.f64 x y) 3)) y))
(/.f64 (*.f64 x (/.f64 (-.f64 1 (pow.f64 (/.f64 x y) 3)) y)) (+.f64 (/.f64 x y) (+.f64 1 (pow.f64 (/.f64 x y) 2))))
(/.f64 (.f64 (-.f64 1 (pow.f64 (/.f64 x y) 2)) x) (.f64 (+.f64 (/.f64 x y) 1) y))
(*.f64 (/.f64 x y) (/.f64 (-.f64 1 (pow.f64 (/.f64 x y) 2)) (+.f64 (/.f64 x y) 1)))
(/.f64 (*.f64 x (-.f64 1 (pow.f64 (/.f64 x y) 2))) (fma.f64 y (/.f64 x y) y))
(/.f64 (-.f64 (/.f64 x y) (pow.f64 (/.f64 x y) 3)) (+.f64 (/.f64 x y) 1))
(/.f64 (.f64 (-.f64 1 (pow.f64 (/.f64 x y) 2)) 1) (.f64 (+.f64 (/.f64 x y) 1) (/.f64 y x)))
(*.f64 (/.f64 x y) (/.f64 (-.f64 1 (pow.f64 (/.f64 x y) 2)) (+.f64 (/.f64 x y) 1)))
(/.f64 (*.f64 x (-.f64 1 (pow.f64 (/.f64 x y) 2))) (fma.f64 y (/.f64 x y) y))
(/.f64 (-.f64 (/.f64 x y) (pow.f64 (/.f64 x y) 3)) (+.f64 (/.f64 x y) 1))
(/.f64 (.f64 (-.f64 1 (pow.f64 (/.f64 x y) 2)) (neg.f64 x)) (.f64 (+.f64 (/.f64 x y) 1) (neg.f64 y)))
(*.f64 (/.f64 x y) (/.f64 (-.f64 1 (pow.f64 (/.f64 x y) 2)) (+.f64 (/.f64 x y) 1)))
(/.f64 (*.f64 x (-.f64 1 (pow.f64 (/.f64 x y) 2))) (fma.f64 y (/.f64 x y) y))
(/.f64 (-.f64 (/.f64 x y) (pow.f64 (/.f64 x y) 3)) (+.f64 (/.f64 x y) 1))
(/.f64 (.f64 (-.f64 1 (pow.f64 (/.f64 x y) 3)) x) (.f64 (+.f64 1 (+.f64 (/.f64 x y) (pow.f64 (/.f64 x y) 2))) y))
(/.f64 (/.f64 x y) (/.f64 (+.f64 1 (+.f64 (/.f64 x y) (pow.f64 (/.f64 x y) 2))) (-.f64 1 (pow.f64 (/.f64 x y) 3))))
(*.f64 (/.f64 x (+.f64 (/.f64 x y) (+.f64 1 (pow.f64 (/.f64 x y) 2)))) (/.f64 (-.f64 1 (pow.f64 (/.f64 x y) 3)) y))
(/.f64 (*.f64 x (/.f64 (-.f64 1 (pow.f64 (/.f64 x y) 3)) y)) (+.f64 (/.f64 x y) (+.f64 1 (pow.f64 (/.f64 x y) 2))))
(/.f64 (.f64 (-.f64 1 (pow.f64 (/.f64 x y) 3)) 1) (.f64 (+.f64 1 (+.f64 (/.f64 x y) (pow.f64 (/.f64 x y) 2))) (/.f64 y x)))
(/.f64 (/.f64 x y) (/.f64 (+.f64 1 (+.f64 (/.f64 x y) (pow.f64 (/.f64 x y) 2))) (-.f64 1 (pow.f64 (/.f64 x y) 3))))
(*.f64 (/.f64 x (+.f64 (/.f64 x y) (+.f64 1 (pow.f64 (/.f64 x y) 2)))) (/.f64 (-.f64 1 (pow.f64 (/.f64 x y) 3)) y))
(/.f64 (*.f64 x (/.f64 (-.f64 1 (pow.f64 (/.f64 x y) 3)) y)) (+.f64 (/.f64 x y) (+.f64 1 (pow.f64 (/.f64 x y) 2))))
(/.f64 (.f64 (-.f64 1 (pow.f64 (/.f64 x y) 3)) (neg.f64 x)) (.f64 (+.f64 1 (+.f64 (/.f64 x y) (pow.f64 (/.f64 x y) 2))) (neg.f64 y)))
(/.f64 (/.f64 x y) (/.f64 (+.f64 1 (+.f64 (/.f64 x y) (pow.f64 (/.f64 x y) 2))) (-.f64 1 (pow.f64 (/.f64 x y) 3))))
(*.f64 (/.f64 x (+.f64 (/.f64 x y) (+.f64 1 (pow.f64 (/.f64 x y) 2)))) (/.f64 (-.f64 1 (pow.f64 (/.f64 x y) 3)) y))
(/.f64 (*.f64 x (/.f64 (-.f64 1 (pow.f64 (/.f64 x y) 3)) y)) (+.f64 (/.f64 x y) (+.f64 1 (pow.f64 (/.f64 x y) 2))))
(/.f64 (neg.f64 (*.f64 x (-.f64 1 (/.f64 x y)))) (neg.f64 y))
(fma.f64 -1 (/.f64 (.f64 x x) (.f64 y y)) (/.f64 x y))
(-.f64 (/.f64 x y) (pow.f64 (/.f64 x y) 2))
(pow.f64 (*.f64 (/.f64 x y) (-.f64 1 (/.f64 x y))) 1)
(fma.f64 -1 (/.f64 (.f64 x x) (.f64 y y)) (/.f64 x y))
(-.f64 (/.f64 x y) (pow.f64 (/.f64 x y) 2))
(pow.f64 (sqrt.f64 (*.f64 (/.f64 x y) (-.f64 1 (/.f64 x y)))) 2)
(fma.f64 -1 (/.f64 (.f64 x x) (.f64 y y)) (/.f64 x y))
(-.f64 (/.f64 x y) (pow.f64 (/.f64 x y) 2))
(pow.f64 (cbrt.f64 (*.f64 (/.f64 x y) (-.f64 1 (/.f64 x y)))) 3)
(fma.f64 -1 (/.f64 (.f64 x x) (.f64 y y)) (/.f64 x y))
(-.f64 (/.f64 x y) (pow.f64 (/.f64 x y) 2))
(pow.f64 (pow.f64 (*.f64 (/.f64 x y) (-.f64 1 (/.f64 x y))) 3) 1/3)
(fma.f64 -1 (/.f64 (.f64 x x) (.f64 y y)) (/.f64 x y))
(-.f64 (/.f64 x y) (pow.f64 (/.f64 x y) 2))
(sqrt.f64 (pow.f64 (*.f64 (/.f64 x y) (-.f64 1 (/.f64 x y))) 2))
(fma.f64 -1 (/.f64 (.f64 x x) (.f64 y y)) (/.f64 x y))
(-.f64 (/.f64 x y) (pow.f64 (/.f64 x y) 2))
(log.f64 (pow.f64 (exp.f64 (/.f64 x y)) (-.f64 1 (/.f64 x y))))
(fma.f64 -1 (/.f64 (.f64 x x) (.f64 y y)) (/.f64 x y))
(-.f64 (/.f64 x y) (pow.f64 (/.f64 x y) 2))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (/.f64 x y) (-.f64 1 (/.f64 x y))))))
(fma.f64 -1 (/.f64 (.f64 x x) (.f64 y y)) (/.f64 x y))
(-.f64 (/.f64 x y) (pow.f64 (/.f64 x y) 2))
(cbrt.f64 (pow.f64 (*.f64 (/.f64 x y) (-.f64 1 (/.f64 x y))) 3))
(fma.f64 -1 (/.f64 (.f64 x x) (.f64 y y)) (/.f64 x y))
(-.f64 (/.f64 x y) (pow.f64 (/.f64 x y) 2))
(expm1.f64 (log1p.f64 (*.f64 (/.f64 x y) (-.f64 1 (/.f64 x y)))))
(fma.f64 -1 (/.f64 (.f64 x x) (.f64 y y)) (/.f64 x y))
(-.f64 (/.f64 x y) (pow.f64 (/.f64 x y) 2))
(exp.f64 (log.f64 (*.f64 (/.f64 x y) (-.f64 1 (/.f64 x y)))))
(fma.f64 -1 (/.f64 (.f64 x x) (.f64 y y)) (/.f64 x y))
(-.f64 (/.f64 x y) (pow.f64 (/.f64 x y) 2))
(exp.f64 (.f64 (log.f64 (.f64 (/.f64 x y) (-.f64 1 (/.f64 x y)))) 1))
(fma.f64 -1 (/.f64 (.f64 x x) (.f64 y y)) (/.f64 x y))
(-.f64 (/.f64 x y) (pow.f64 (/.f64 x y) 2))
(log1p.f64 (expm1.f64 (*.f64 (/.f64 x y) (-.f64 1 (/.f64 x y)))))
(fma.f64 -1 (/.f64 (.f64 x x) (.f64 y y)) (/.f64 x y))
(-.f64 (/.f64 x y) (pow.f64 (/.f64 x y) 2))
(+.f64 1 (/.f64 (neg.f64 x) y))
(-.f64 1 (/.f64 x y))
(+.f64 1 (*.f64 (/.f64 (neg.f64 x) y) 1))
(-.f64 1 (/.f64 x y))
(+.f64 (/.f64 (neg.f64 x) y) 1)
(-.f64 1 (/.f64 x y))
(*.f64 1 (-.f64 1 (/.f64 x y)))
(-.f64 1 (/.f64 x y))
(*.f64 (-.f64 1 (/.f64 x y)) 1)
(-.f64 1 (/.f64 x y))
(*.f64 (sqrt.f64 (-.f64 1 (/.f64 x y))) (sqrt.f64 (-.f64 1 (/.f64 x y))))
(-.f64 1 (/.f64 x y))
(*.f64 (cbrt.f64 (-.f64 1 (/.f64 x y))) (pow.f64 (cbrt.f64 (-.f64 1 (/.f64 x y))) 2))
(-.f64 1 (/.f64 x y))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 1 (/.f64 x y))) 2) (cbrt.f64 (-.f64 1 (/.f64 x y))))
(-.f64 1 (/.f64 x y))
(*.f64 (-.f64 1 (pow.f64 (/.f64 x y) 2)) (/.f64 1 (+.f64 (/.f64 x y) 1)))
(/.f64 (-.f64 1 (pow.f64 (/.f64 x y) 2)) (+.f64 (/.f64 x y) 1))
(*.f64 (-.f64 1 (pow.f64 (/.f64 x y) 3)) (/.f64 1 (+.f64 1 (+.f64 (/.f64 x y) (pow.f64 (/.f64 x y) 2)))))
(/.f64 (-.f64 1 (pow.f64 (/.f64 x y) 3)) (+.f64 1 (+.f64 (/.f64 x y) (pow.f64 (/.f64 x y) 2))))
(/.f64 (-.f64 1 (pow.f64 (/.f64 x y) 3)) (+.f64 (/.f64 x y) (+.f64 1 (pow.f64 (/.f64 x y) 2))))
(/.f64 1 (/.f64 (+.f64 (/.f64 x y) 1) (-.f64 1 (pow.f64 (/.f64 x y) 2))))
(/.f64 (-.f64 1 (pow.f64 (/.f64 x y) 2)) (+.f64 (/.f64 x y) 1))
(/.f64 1 (/.f64 (+.f64 1 (+.f64 (/.f64 x y) (pow.f64 (/.f64 x y) 2))) (-.f64 1 (pow.f64 (/.f64 x y) 3))))
(/.f64 (-.f64 1 (pow.f64 (/.f64 x y) 3)) (+.f64 1 (+.f64 (/.f64 x y) (pow.f64 (/.f64 x y) 2))))
(/.f64 (-.f64 1 (pow.f64 (/.f64 x y) 3)) (+.f64 (/.f64 x y) (+.f64 1 (pow.f64 (/.f64 x y) 2))))
(/.f64 (-.f64 1 (pow.f64 (/.f64 x y) 2)) (+.f64 (/.f64 x y) 1))
(/.f64 (-.f64 1 (pow.f64 (/.f64 x y) 3)) (+.f64 1 (+.f64 (/.f64 x y) (pow.f64 (/.f64 x y) 2))))
(/.f64 (-.f64 1 (pow.f64 (/.f64 x y) 3)) (+.f64 (/.f64 x y) (+.f64 1 (pow.f64 (/.f64 x y) 2))))
(/.f64 (-.f64 1 (*.f64 (/.f64 (neg.f64 x) y) (/.f64 (neg.f64 x) y))) (-.f64 1 (/.f64 (neg.f64 x) y)))
(/.f64 (-.f64 1 (pow.f64 (/.f64 x y) 2)) (+.f64 (/.f64 x y) 1))
(/.f64 (+.f64 1 (pow.f64 (/.f64 (neg.f64 x) y) 3)) (+.f64 1 (-.f64 (*.f64 (/.f64 (neg.f64 x) y) (/.f64 (neg.f64 x) y)) (/.f64 (neg.f64 x) y))))
(/.f64 (-.f64 1 (pow.f64 (/.f64 x y) 3)) (+.f64 1 (+.f64 (/.f64 x y) (pow.f64 (/.f64 x y) 2))))
(/.f64 (-.f64 1 (pow.f64 (/.f64 x y) 3)) (+.f64 (/.f64 x y) (+.f64 1 (pow.f64 (/.f64 x y) 2))))
(/.f64 (neg.f64 (-.f64 1 (pow.f64 (/.f64 x y) 2))) (neg.f64 (+.f64 (/.f64 x y) 1)))
(/.f64 (-.f64 1 (pow.f64 (/.f64 x y) 2)) (+.f64 (/.f64 x y) 1))
(/.f64 (neg.f64 (-.f64 1 (pow.f64 (/.f64 x y) 3))) (neg.f64 (+.f64 1 (+.f64 (/.f64 x y) (pow.f64 (/.f64 x y) 2)))))
(/.f64 (-.f64 1 (pow.f64 (/.f64 x y) 3)) (+.f64 1 (+.f64 (/.f64 x y) (pow.f64 (/.f64 x y) 2))))
(/.f64 (-.f64 1 (pow.f64 (/.f64 x y) 3)) (+.f64 (/.f64 x y) (+.f64 1 (pow.f64 (/.f64 x y) 2))))
(pow.f64 (-.f64 1 (/.f64 x y)) 1)
(-.f64 1 (/.f64 x y))
(pow.f64 (sqrt.f64 (-.f64 1 (/.f64 x y))) 2)
(-.f64 1 (/.f64 x y))
(pow.f64 (cbrt.f64 (-.f64 1 (/.f64 x y))) 3)
(-.f64 1 (/.f64 x y))
(pow.f64 (pow.f64 (-.f64 1 (/.f64 x y)) 3) 1/3)
(-.f64 1 (/.f64 x y))
(sqrt.f64 (pow.f64 (-.f64 1 (/.f64 x y)) 2))
(-.f64 1 (/.f64 x y))
(log.f64 (exp.f64 (-.f64 1 (/.f64 x y))))
(-.f64 1 (/.f64 x y))
(log.f64 (+.f64 1 (expm1.f64 (-.f64 1 (/.f64 x y)))))
(-.f64 1 (/.f64 x y))
(cbrt.f64 (pow.f64 (-.f64 1 (/.f64 x y)) 3))
(-.f64 1 (/.f64 x y))
(expm1.f64 (log1p.f64 (-.f64 1 (/.f64 x y))))
(-.f64 1 (/.f64 x y))
(exp.f64 (log1p.f64 (/.f64 (neg.f64 x) y)))
(exp.f64 (log1p.f64 (/.f64 x (neg.f64 y))))
(exp.f64 (*.f64 (log1p.f64 (/.f64 (neg.f64 x) y)) 1))
(exp.f64 (log1p.f64 (/.f64 (neg.f64 x) y)))
(exp.f64 (log1p.f64 (/.f64 x (neg.f64 y))))
(log1p.f64 (expm1.f64 (-.f64 1 (/.f64 x y))))
(-.f64 1 (/.f64 x y))

eval50.0ms (2.1%)

Compiler: Compiled 1355 to 632 computations (53.4% saved)

prune42.0ms (1.8%)

Pruning

5 alts after pruning (1 fresh and 4 done)

	Pruned	Kept	Total
New	92	0	92
Fresh	0	1	1
Picked	0	1	1
Done	0	3	3
Total	92	5	97

Error

Counts

97 → 5

Alt Table

Click to see full alt table

Status	Error	Program
✓	0.0b	(/.f64 x (+.f64 y x))
✓	35.3b	(/.f64 x y)
✓	28.3b	(-.f64 1 (/.f64 y x))
✓	35.8b	(*.f64 (/.f64 x y) (-.f64 1 (/.f64 x y)))
	28.1b	1

Compiler

Compiled 33 to 21 computations (36.4% saved)

eval0.0ms (0%)

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

prune2.0ms (0.1%)

Pruning

5 alts after pruning (1 fresh and 4 done)

	Kept	Total
New	0	0
Fresh	1	1
Picked	0	0
Done	4	4
Total	5	5

Error

Counts

5 → 5

Alt Table

Click to see full alt table

Status	Error	Program
✓	0.0b	(/.f64 x (+.f64 y x))
✓	35.3b	(/.f64 x y)
✓	28.3b	(-.f64 1 (/.f64 y x))
✓	35.8b	(*.f64 (/.f64 x y) (-.f64 1 (/.f64 x y)))
	28.1b	1

Compiler

Compiled 33 to 21 computations (36.4% saved)

regimes14.0ms (0.6%)

Counts

6 → 1

Calls

Call 1

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

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

Calls

3 calls:

5.0ms	y
4.0ms	x
3.0ms	(/.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 49 to 22 computations (55.1% saved)

regimes51.0ms (2.1%)

Counts

3 → 3

Calls

Call 1

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

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

Calls

2 calls:

41.0ms	y
9.0ms	x

Results

Error	Segments	Branch
13.5b	3	`x`
14.0b	5	`y`

Compiler

Compiled 17 to 11 computations (35.3% saved)

bsearch20.0ms (0.8%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
6.0ms	887.3057936670733	1645.0026125282445
14.0ms	-8.744639696392259e-42	-3.453539417837888e-47

Results

18.0ms

208×

body

256

valid

Compiler

Compiled 194 to 138 computations (28.9% saved)

regimes37.0ms (1.5%)

Accuracy

Total -48.2b remaining (-350%)

Threshold costs -48.2b (-350%)

Counts

2 → 3

Calls

Call 1

Inputs
1
(/.f64 x y)

Outputs
1
(/.f64 x y)
1

Calls

2 calls:

27.0ms	y
9.0ms	x

Results

Error	Segments	Branch
13.8b	3	`x`
14.2b	5	`y`

Compiler

Compiled 12 to 8 computations (33.3% saved)

bsearch31.0ms (1.3%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
16.0ms	5.594365225335666e-16	1.681130193949936e-5
14.0ms	-8.744639696392259e-42	-3.453539417837888e-47

Results

28.0ms

304×

body

256

valid

Compiler

Compiled 202 to 160 computations (20.8% saved)

simplify6.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

8×	`+-commutative`
6×	`sub-neg`
4×	`neg-mul-1`
4×	`if-if-or-not`
4×	`*-commutative`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	25	86
1	39	86
2	45	86
3	49	86
4	52	86
5	53	86

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(/.f64 x (+.f64 y x))
(if (<=.f64 x -1968499104217263/803469022129495137770981046170581301261101496891396417650688) (-.f64 1 (/.f64 y x)) (if (<=.f64 x 1400) (/.f64 x y) (-.f64 1 (/.f64 y x))))
(if (<=.f64 x -5021681388309345/1569275433846670190958947355801916604025588861116008628224) 1 (if (<=.f64 x 8897694032363671/77371252455336267181195264) (/.f64 x y) 1))
1

Outputs
(/.f64 x (+.f64 y x))
(/.f64 x (+.f64 x y))
(if (<=.f64 x -1968499104217263/803469022129495137770981046170581301261101496891396417650688) (-.f64 1 (/.f64 y x)) (if (<=.f64 x 1400) (/.f64 x y) (-.f64 1 (/.f64 y x))))
(if (or (<=.f64 x -1968499104217263/803469022129495137770981046170581301261101496891396417650688) (not (<=.f64 x 1400))) (-.f64 1 (/.f64 y x)) (/.f64 x y))
(if (<=.f64 x -5021681388309345/1569275433846670190958947355801916604025588861116008628224) 1 (if (<=.f64 x 8897694032363671/77371252455336267181195264) (/.f64 x y) 1))
1

Compiler

Compiled 44 to 31 computations (29.5% saved)

soundness0.0ms (0%)

end48.0ms (2%)

Compiler: Compiled 38 to 24 computations (36.8% saved)

Details

analyze41.0ms (1.7%)

sample1.3s (56%)

preprocess4.0ms (0.2%)

simplify11.0ms (0.5%)

eval0.0ms (0%)

prune4.0ms (0.2%)

localize4.0ms (0.2%)

series2.0ms (0.1%)

rewrite53.0ms (2.2%)

simplify61.0ms (2.6%)

eval13.0ms (0.5%)

prune10.0ms (0.4%)

localize5.0ms (0.2%)

series1.0ms (0.1%)

rewrite59.0ms (2.5%)

simplify53.0ms (2.2%)

localize6.0ms (0.3%)

series5.0ms (0.2%)

rewrite71.0ms (3%)

simplify85.0ms (3.5%)

localize3.0ms (0.1%)

eval89.0ms (3.7%)

prune19.0ms (0.8%)

localize8.0ms (0.3%)

series4.0ms (0.2%)

rewrite74.0ms (3.1%)

simplify65.0ms (2.7%)

eval50.0ms (2.1%)

prune42.0ms (1.8%)

eval0.0ms (0%)

prune2.0ms (0.1%)

regimes14.0ms (0.6%)

regimes51.0ms (2.1%)

bsearch20.0ms (0.8%)

regimes37.0ms (1.5%)

bsearch31.0ms (1.3%)

simplify6.0ms (0.3%)

soundness0.0ms (0%)

end48.0ms (2%)

Profiling