Details

analyze42.0ms (1.8%)

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	99.9%	0.1%	0%	0%	0%	0
0%	0%	99.9%	0.1%	0%	0%	0%	1
0%	0%	99.9%	0.1%	0%	0%	0%	2
0%	0%	99.9%	0.1%	0%	0%	0%	3
0%	0%	99.9%	0.1%	0%	0%	0%	4
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)

sample817.0ms (35.1%)

Results

807.0ms

8256×

body

256

valid

Bogosity

preprocess32.0ms (1.4%)

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)

prune1.0ms (0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

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

Error

0.02%

Counts

3 → 1

Alt Table

Click to see full alt table

Status	Error	Program
▶	0.02%	(/.f64 x (+.f64 y x))

Compiler

Compiled 7 to 4 computations (42.9% saved)

localize5.0ms (0.2%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.02%	(/.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	@	inf	(/.f64 x (+.f64 y x))
0.0ms	x	@	0	(/.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))

rewrite56.0ms (2.4%)

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))))))))

simplify110.0ms (4.7%)

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)

prune12.0ms (0.5%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	63	5	68
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	63	6	69

Error

Counts

69 → 6

Alt Table

Click to see full alt table

Status	Error	Program
▶	0.22%	(pow.f64 (/.f64 (+.f64 x y) x) -1)
✓	0.02%	(/.f64 x (+.f64 y x))
▶	50.39%	(/.f64 x y)
▶	50.19%	(-.f64 1 (/.f64 y x))
▶	0.27%	(*.f64 (/.f64 1 (+.f64 x y)) x)
	49.45%	1

Compiler

Compiled 40 to 27 computations (32.5% saved)

localize7.0ms (0.3%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.03%	(/.f64 1 (+.f64 x y))
✓	0.28%	(*.f64 (/.f64 1 (+.f64 x y)) x)

Compiler

Compiled 20 to 9 computations (55% saved)

series2.0ms (0.1%)

Counts

2 → 48

Calls

12 calls:

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

rewrite95.0ms (4.1%)

Algorithm

1×	batch-egg-rewrite

Rules

1798×	`add-sqr-sqrt`
1778×	`*-un-lft-identity`
1664×	`add-cube-cbrt`
1642×	`add-cbrt-cube`
168×	`pow1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	26
1	169	26
2	2235	26

Stop Event

1×	node limit

Counts

2 → 48

Calls

Call 1

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

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

simplify78.0ms (3.4%)

Algorithm

1×	egg-herbie

Rules

1418×	`associate-r`
1270×	`associate-l`
1064×	`times-frac`
674×	`unswap-sqr`
626×	`associate-/l*`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	167	2640
1	412	2472
2	1448	2298

Stop Event

1×	node limit

Counts

96 → 102

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

localize5.0ms (0.2%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.01%	(-.f64 1 (/.f64 y x))

Compiler

Compiled 13 to 6 computations (53.8% saved)

series73.0ms (3.1%)

Counts

1 → 24

Calls

6 calls:

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

rewrite52.0ms (2.2%)

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))))))))

simplify62.0ms (2.6%)

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))

localize3.0ms (0.1%)

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

localize12.0ms (0.5%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.02%	(/.f64 (+.f64 x y) x)
✓	0.2%	(pow.f64 (/.f64 (+.f64 x y) x) -1)

Compiler

Compiled 20 to 7 computations (65% saved)

series2.0ms (0.1%)

Counts

2 → 48

Calls

12 calls:

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

rewrite106.0ms (4.5%)

Algorithm

1×	batch-egg-rewrite

Rules

1978×	`add-sqr-sqrt`
1952×	`*-un-lft-identity`
1836×	`add-cube-cbrt`
1816×	`add-cbrt-cube`
178×	`pow1`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	8	32
1	180	26
2	2451	26

Stop Event

1×	node limit

Counts

2 → 76

Calls

Call 1

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

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

simplify56.0ms (2.4%)

Algorithm

1×	egg-herbie

Rules

1512×	`associate-/r*`
1452×	`associate-/l*`
738×	`unswap-sqr`
596×	`*-commutative`
548×	`distribute-lft-in`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	211	2334
1	522	2268
2	2121	2196

Stop Event

1×	node limit

Counts

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

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

eval95.0ms (4.1%)

Compiler: Compiled 3152 to 1424 computations (54.8% saved)

prune55.0ms (2.4%)

Pruning

6 alts after pruning (2 fresh and 4 done)

	Pruned	Kept	Total
New	245	1	246
Fresh	0	1	1
Picked	1	0	1
Done	0	4	4
Total	246	6	252

Error

Counts

252 → 6

Alt Table

Click to see full alt table

Status	Error	Program
✓	0.02%	(/.f64 x (+.f64 y x))
✓	50.39%	(/.f64 x y)
▶	0.22%	(/.f64 1 (/.f64 (+.f64 x y) x))
✓	50.19%	(-.f64 1 (/.f64 y x))
✓	0.27%	(*.f64 (/.f64 1 (+.f64 x y)) x)
	49.45%	1

Compiler

Compiled 40 to 27 computations (32.5% saved)

localize6.0ms (0.3%)

Local error

Found 2 expressions with local error:

New	Error	Program
	0.02%	(/.f64 (+.f64 x y) x)
✓	0.2%	(/.f64 1 (/.f64 (+.f64 x y) x))

Compiler

Compiled 20 to 7 computations (65% saved)

series1.0ms (0%)

Counts

1 → 24

Calls

6 calls:

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

rewrite63.0ms (2.7%)

Algorithm

1×	batch-egg-rewrite

Rules

1980×	`add-sqr-sqrt`
1960×	`*-un-lft-identity`
1838×	`add-cube-cbrt`
1818×	`add-cbrt-cube`
178×	`pow1`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	8	19
1	176	13
2	2457	13

Stop Event

1×	node limit

Counts

1 → 41

Calls

Call 1

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

simplify83.0ms (3.6%)

Algorithm

1×	egg-herbie

Rules

1160×	`associate-+r+`
1032×	`associate-+l+`
972×	`associate-/l*`
778×	`times-frac`
724×	`associate-*r/`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	150	1717
1	388	1615
2	1450	1471
3	6271	1471

Stop Event

1×	node limit

Counts

65 → 73

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

eval21.0ms (0.9%)

Compiler: Compiled 1380 to 573 computations (58.5% saved)

prune16.0ms (0.7%)

Pruning

6 alts after pruning (1 fresh and 5 done)

	Pruned	Kept	Total
New	110	0	110
Fresh	0	1	1
Picked	0	1	1
Done	0	4	4
Total	110	6	116

Error

Counts

116 → 6

Alt Table

Click to see full alt table

Status	Error	Program
✓	0.02%	(/.f64 x (+.f64 y x))
✓	50.39%	(/.f64 x y)
✓	0.22%	(/.f64 1 (/.f64 (+.f64 x y) x))
✓	50.19%	(-.f64 1 (/.f64 y x))
✓	0.27%	(*.f64 (/.f64 1 (+.f64 x y)) x)
	49.45%	1

Compiler

Compiled 40 to 27 computations (32.5% saved)

eval0.0ms (0%)

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

prune2.0ms (0.1%)

Pruning

6 alts after pruning (1 fresh and 5 done)

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

Error

Counts

6 → 6

Alt Table

Click to see full alt table

Status	Error	Program
✓	0.02%	(/.f64 x (+.f64 y x))
✓	50.39%	(/.f64 x y)
✓	0.22%	(/.f64 1 (/.f64 (+.f64 x y) x))
✓	50.19%	(-.f64 1 (/.f64 y x))
✓	0.27%	(*.f64 (/.f64 1 (+.f64 x y)) x)
	49.45%	1

Compiler

Compiled 40 to 27 computations (32.5% saved)

regimes24.0ms (1%)

Counts

7 → 1

Calls

Call 1

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

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

Calls

3 calls:

13.0ms	(/.f64 x (+.f64 y x))
5.0ms	x
5.0ms	y

Results

Error	Segments	Branch
0.02%	1	`x`
0.02%	1	`y`
0.02%	1	`(/.f64 x (+.f64 y x))`

Compiler

Compiled 50 to 26 computations (48% saved)

regimes82.0ms (3.5%)

Counts

3 → 5

Calls

Call 1

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

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

Calls

2 calls:

65.0ms	y
16.0ms	x

Results

Error	Segments	Branch
18.37%	5	`x`
22.67%	5	`y`

Compiler

Compiled 17 to 11 computations (35.3% saved)

bsearch54.0ms (2.3%)

Algorithm

4×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough
1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
10.0ms	3.239672737961013e+145	3.434322514278693e+147
11.0ms	2.636339867939603e+121	1.5659396566386793e+122
13.0ms	45677066576834610.0	1.3239183172954573e+22
19.0ms	-6.008624308233922e-96	-1.4680072662433493e-126

Results

45.0ms

528×

body

256

valid

Compiler

Compiled 430 to 316 computations (26.5% saved)

regimes33.0ms (1.4%)

Accuracy

Total -49.8b remaining (-413.6%)

Threshold costs -49.8b (-413.6%)

Counts

2 → 5

Calls

Call 1

Inputs
1
(/.f64 x y)

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

Calls

2 calls:

16.0ms	y
16.0ms	x

Results

Error	Segments	Branch
18.83%	5	`x`
22.89%	5	`y`

Compiler

Compiled 12 to 8 computations (33.3% saved)

bsearch67.0ms (2.9%)

Algorithm

4×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough
1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
11.0ms	3.239672737961013e+145	3.434322514278693e+147
26.0ms	2.636339867939603e+121	1.5659396566386793e+122
13.0ms	45677066576834610.0	1.3239183172954573e+22
17.0ms	-6.008624308233922e-96	-1.4680072662433493e-126

Results

61.0ms

528×

body

256

valid

Compiler

Compiled 342 to 272 computations (20.5% saved)

simplify40.0ms (1.7%)

Algorithm

1×	egg-herbie

Rules

12×	`if-not`
10×	`if-if-or-not`
8×	`not-or`
8×	`+-commutative`
6×	`sub-neg`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	33	138
1	45	138
2	56	138
3	66	134
4	73	134
5	79	134
6	81	134
7	83	134

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(/.f64 x (+.f64 y x))
(if (<=.f64 x -2770453560683987/38478521676166483605741250097796497856523182881313912761668255277583712667477744737709244389536050430475222646784) 1 (if (<=.f64 x 4800000000000000000000) (/.f64 x y) (if (<=.f64 x 154999999999999999480723536834931633720838312113884128715376101148085988472038896757330598013694237240761163901958338117632) (-.f64 1 (/.f64 y x)) (if (<=.f64 x 33000000000000002689809682543546692754645463216716558299174833946991730604591390567302010847498364546250821178012683772457640170571328324343169024) (/.f64 x y) (-.f64 1 (/.f64 y x))))))
(if (<=.f64 x -279230041217001/169230328010303641331690318856389386196071598838855992136870091590247882556495704531248437872567112920983350278405979725889536) 1 (if (<=.f64 x 340000000000000000) (/.f64 x y) (if (<=.f64 x 154999999999999999480723536834931633720838312113884128715376101148085988472038896757330598013694237240761163901958338117632) 1 (if (<=.f64 x 33000000000000002689809682543546692754645463216716558299174833946991730604591390567302010847498364546250821178012683772457640170571328324343169024) (/.f64 x y) 1))))
1

Outputs
(/.f64 x (+.f64 y x))
(/.f64 x (+.f64 x y))
(if (<=.f64 x -2770453560683987/38478521676166483605741250097796497856523182881313912761668255277583712667477744737709244389536050430475222646784) 1 (if (<=.f64 x 4800000000000000000000) (/.f64 x y) (if (<=.f64 x 154999999999999999480723536834931633720838312113884128715376101148085988472038896757330598013694237240761163901958338117632) (-.f64 1 (/.f64 y x)) (if (<=.f64 x 33000000000000002689809682543546692754645463216716558299174833946991730604591390567302010847498364546250821178012683772457640170571328324343169024) (/.f64 x y) (-.f64 1 (/.f64 y x))))))
(if (<=.f64 x -2770453560683987/38478521676166483605741250097796497856523182881313912761668255277583712667477744737709244389536050430475222646784) 1 (if (<=.f64 x 4800000000000000000000) (/.f64 x y) (if (or (<=.f64 x 154999999999999999480723536834931633720838312113884128715376101148085988472038896757330598013694237240761163901958338117632) (not (<=.f64 x 33000000000000002689809682543546692754645463216716558299174833946991730604591390567302010847498364546250821178012683772457640170571328324343169024))) (-.f64 1 (/.f64 y x)) (/.f64 x y))))
(if (<=.f64 x -2770453560683987/38478521676166483605741250097796497856523182881313912761668255277583712667477744737709244389536050430475222646784) 1 (if (or (<=.f64 x 4800000000000000000000) (and (not (<=.f64 x 154999999999999999480723536834931633720838312113884128715376101148085988472038896757330598013694237240761163901958338117632)) (<=.f64 x 33000000000000002689809682543546692754645463216716558299174833946991730604591390567302010847498364546250821178012683772457640170571328324343169024))) (/.f64 x y) (-.f64 1 (/.f64 y x))))
(if (<=.f64 x -279230041217001/169230328010303641331690318856389386196071598838855992136870091590247882556495704531248437872567112920983350278405979725889536) 1 (if (<=.f64 x 340000000000000000) (/.f64 x y) (if (<=.f64 x 154999999999999999480723536834931633720838312113884128715376101148085988472038896757330598013694237240761163901958338117632) 1 (if (<=.f64 x 33000000000000002689809682543546692754645463216716558299174833946991730604591390567302010847498364546250821178012683772457640170571328324343169024) (/.f64 x y) 1))))
1

Compiler

Compiled 65 to 45 computations (30.8% saved)

soundness0.0ms (0%)

end35.0ms (1.5%)

Compiler: Compiled 59 to 38 computations (35.6% saved)

Details

analyze42.0ms (1.8%)

sample817.0ms (35.1%)

preprocess32.0ms (1.4%)

simplify11.0ms (0.5%)

eval0.0ms (0%)

prune1.0ms (0%)

localize5.0ms (0.2%)

series2.0ms (0.1%)

rewrite56.0ms (2.4%)

simplify110.0ms (4.7%)

eval13.0ms (0.5%)

prune12.0ms (0.5%)

localize7.0ms (0.3%)

series2.0ms (0.1%)

rewrite95.0ms (4.1%)

simplify78.0ms (3.4%)

localize5.0ms (0.2%)

series73.0ms (3.1%)

rewrite52.0ms (2.2%)

simplify62.0ms (2.6%)

localize3.0ms (0.1%)

localize12.0ms (0.5%)

series2.0ms (0.1%)

rewrite106.0ms (4.5%)

simplify56.0ms (2.4%)

eval95.0ms (4.1%)

prune55.0ms (2.4%)

localize6.0ms (0.3%)

series1.0ms (0%)

rewrite63.0ms (2.7%)

simplify83.0ms (3.6%)

eval21.0ms (0.9%)

prune16.0ms (0.7%)

eval0.0ms (0%)

prune2.0ms (0.1%)

regimes24.0ms (1%)

regimes82.0ms (3.5%)

bsearch54.0ms (2.3%)

regimes33.0ms (1.4%)

bsearch67.0ms (2.9%)

simplify40.0ms (1.7%)

soundness0.0ms (0%)

end35.0ms (1.5%)

Profiling