Details

analyze82.0ms (3.9%)

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	99.9%	0.1%	0%	0%	0%	0
0%	0%	99.9%	0.1%	0%	0%	0%	1
0%	0%	99.9%	0.1%	0%	0%	0%	2
0%	0%	99.9%	0.1%	0%	0%	0%	3
0%	0%	99.9%	0.1%	0%	0%	0%	4
18.8%	18.7%	81.2%	0.1%	0%	0%	0%	5
46.9%	46.8%	53.1%	0.1%	0%	0%	0%	6
56.3%	56.2%	43.7%	0.1%	0%	0%	0%	7
71.1%	71%	28.9%	0.1%	0%	0%	0%	8
76.6%	76.5%	23.4%	0.1%	0%	0%	0%	9
85%	84.9%	15%	0.1%	0%	0%	0%	10
87.9%	87.8%	12.1%	0.1%	0%	0%	0%	11
92.3%	92.2%	7.7%	0.1%	0%	0%	0%	12

Compiler

Compiled 8 to 5 computations (37.5% saved)

sample1.0s (48.4%)

Results

1.0s

8256×

body

256

valid

Bogosity

preprocess4.0ms (0.2%)

Algorithm

2×	egg-herbie

Rules

2×	`+-commutative`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	26
1	9	26
0	2	2

Stop Event

1×	saturated
1×	saturated

Calls

Call 1

Inputs
0
1

Outputs
0
1

Call 2

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

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

Compiler

Compiled 9 to 6 computations (33.3% saved)

simplify12.0ms (0.6%)

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 → 1

Calls

Call 1

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

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

eval0.0ms (0%)

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

prune1.0ms (0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

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

Error

0.0b

Counts

2 → 1

Alt Table

Click to see full alt table

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

Compiler

Compiled 7 to 4 computations (42.9% saved)

localize4.0ms (0.2%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 12 to 4 computations (66.7% saved)

series2.0ms (0.1%)

Counts

1 → 24

Calls

6 calls:

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

rewrite66.0ms (3.1%)

Algorithm

1×	batch-egg-rewrite

Rules

1648×	`add-sqr-sqrt`
1632×	`*-un-lft-identity`
1530×	`add-cube-cbrt`
1512×	`add-cbrt-cube`
146×	`pow1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	13
1	135	13
2	1976	13

Stop Event

1×	node limit

Counts

1 → 34

Calls

Call 1

Inputs
(/.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 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) (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 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) (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))))))))

simplify71.0ms (3.3%)

Algorithm

1×	egg-herbie

Rules

1430×	`associate-+r+`
1076×	`associate-+l+`
788×	`associate-/l*`
692×	`times-frac`
692×	`associate-*r/`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	125	1556
1	325	1466
2	1251	1364
3	5637	1364

Stop Event

1×	node limit

Counts

58 → 66

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

eval14.0ms (0.6%)

Compiler: Compiled 856 to 354 computations (58.6% saved)

prune10.0ms (0.5%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	61	5	66
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	61	6	67

Error

Counts

67 → 6

Alt Table

Click to see full alt table

Status	Error	Program
✓	0.0b	(/.f64 x (+.f64 x y))
▶	30.6b	(/.f64 x y)
▶	33.2b	(-.f64 1 (/.f64 y x))
▶	0.2b	(*.f64 (/.f64 1 (+.f64 x y)) x)
▶	22.7b	(log.f64 (exp.f64 (/.f64 x (+.f64 x y))))
	32.6b	1

Compiler

Compiled 40 to 27 computations (32.5% saved)

localize12.0ms (0.6%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(exp.f64 (/.f64 x (+.f64 x y)))
	0.0b	(/.f64 x (+.f64 x y))
✓	3.6b	(log.f64 (exp.f64 (/.f64 x (+.f64 x y))))

Compiler

Compiled 25 to 6 computations (76% saved)

series3.0ms (0.1%)

Counts

2 → 48

Calls

12 calls:

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

rewrite69.0ms (3.2%)

Algorithm

1×	batch-egg-rewrite

Rules

1940×	`add-sqr-sqrt`
1924×	`*-un-lft-identity`
1796×	`add-cube-cbrt`
1774×	`add-cbrt-cube`
180×	`pow1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	30
1	183	30
2	2364	30

Stop Event

1×	node limit

Counts

2 → 66

Calls

Call 1

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

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

Outputs

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

simplify73.0ms (3.4%)

Algorithm

1×	egg-herbie

Rules

1268×	`unswap-sqr`
852×	`*-commutative`
644×	`associate-+r+`
634×	`associate-/r/`
622×	`distribute-lft-in`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	246	3076
1	636	2874
2	2925	2754

Stop Event

1×	node limit

Counts

114 → 128

Calls

Call 1

Inputs
(/.f64 x y)
(+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (/.f64 x y))
(+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (+.f64 (/.f64 x y) (/.f64 (pow.f64 x 3) (pow.f64 y 3))))
(+.f64 (.f64 -1 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (+.f64 (.f64 -1 (/.f64 (pow.f64 x 4) (pow.f64 y 4))) (+.f64 (/.f64 x y) (/.f64 (pow.f64 x 3) (pow.f64 y 3)))))
1
(+.f64 1 (*.f64 -1 (/.f64 y x)))
(+.f64 1 (+.f64 (/.f64 (pow.f64 y 2) (pow.f64 x 2)) (*.f64 -1 (/.f64 y x))))
(+.f64 1 (+.f64 (/.f64 (pow.f64 y 2) (pow.f64 x 2)) (+.f64 (.f64 -1 (/.f64 (pow.f64 y 3) (pow.f64 x 3))) (.f64 -1 (/.f64 y x)))))
1
(+.f64 1 (*.f64 -1 (/.f64 y x)))
(+.f64 1 (+.f64 (/.f64 (pow.f64 y 2) (pow.f64 x 2)) (*.f64 -1 (/.f64 y x))))
(+.f64 1 (+.f64 (/.f64 (pow.f64 y 2) (pow.f64 x 2)) (+.f64 (.f64 -1 (/.f64 (pow.f64 y 3) (pow.f64 x 3))) (.f64 -1 (/.f64 y x)))))
1
(+.f64 1 (*.f64 -1 (/.f64 y x)))
(+.f64 1 (+.f64 (/.f64 (pow.f64 y 2) (pow.f64 x 2)) (*.f64 -1 (/.f64 y x))))
(+.f64 1 (+.f64 (/.f64 (pow.f64 y 2) (pow.f64 x 2)) (+.f64 (.f64 -1 (/.f64 (pow.f64 y 3) (pow.f64 x 3))) (.f64 -1 (/.f64 y x)))))
(/.f64 x y)
(+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (/.f64 x y))
(+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (+.f64 (/.f64 x y) (/.f64 (pow.f64 x 3) (pow.f64 y 3))))
(+.f64 (.f64 -1 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (+.f64 (.f64 -1 (/.f64 (pow.f64 x 4) (pow.f64 y 4))) (+.f64 (/.f64 x y) (/.f64 (pow.f64 x 3) (pow.f64 y 3)))))
(/.f64 x y)
(+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (/.f64 x y))
(+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (+.f64 (/.f64 x y) (/.f64 (pow.f64 x 3) (pow.f64 y 3))))
(+.f64 (.f64 -1 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (+.f64 (.f64 -1 (/.f64 (pow.f64 x 4) (pow.f64 y 4))) (+.f64 (/.f64 x y) (/.f64 (pow.f64 x 3) (pow.f64 y 3)))))
1
(+.f64 1 (/.f64 x y))
(+.f64 1 (+.f64 (/.f64 x y) (*.f64 -1/2 (/.f64 (pow.f64 x 2) (pow.f64 y 2)))))
(+.f64 1 (+.f64 (/.f64 x y) (+.f64 (.f64 1/6 (/.f64 (pow.f64 x 3) (pow.f64 y 3))) (.f64 -1/2 (/.f64 (pow.f64 x 2) (pow.f64 y 2))))))
(exp.f64 1)
(+.f64 (.f64 -1 (/.f64 (.f64 y (exp.f64 1)) x)) (exp.f64 1))
(+.f64 (.f64 -1 (/.f64 (.f64 y (exp.f64 1)) x)) (+.f64 (/.f64 (.f64 (+.f64 (.f64 1/2 (pow.f64 y 2)) (pow.f64 y 2)) (exp.f64 1)) (pow.f64 x 2)) (exp.f64 1)))
(+.f64 (/.f64 (.f64 (+.f64 (.f64 -1/6 (pow.f64 y 3)) (.f64 -2 (pow.f64 y 3))) (exp.f64 1)) (pow.f64 x 3)) (+.f64 (.f64 -1 (/.f64 (.f64 y (exp.f64 1)) x)) (+.f64 (/.f64 (.f64 (+.f64 (*.f64 1/2 (pow.f64 y 2)) (pow.f64 y 2)) (exp.f64 1)) (pow.f64 x 2)) (exp.f64 1))))
(exp.f64 1)
(+.f64 (.f64 -1 (/.f64 (.f64 y (exp.f64 1)) x)) (exp.f64 1))
(+.f64 (.f64 -1 (/.f64 (.f64 y (exp.f64 1)) x)) (+.f64 (/.f64 (.f64 (+.f64 (.f64 1/2 (pow.f64 y 2)) (pow.f64 y 2)) (exp.f64 1)) (pow.f64 x 2)) (exp.f64 1)))
(+.f64 (.f64 -1 (/.f64 (.f64 (+.f64 (.f64 1/6 (pow.f64 y 3)) (.f64 2 (pow.f64 y 3))) (exp.f64 1)) (pow.f64 x 3))) (+.f64 (.f64 -1 (/.f64 (.f64 y (exp.f64 1)) x)) (+.f64 (/.f64 (.f64 (+.f64 (.f64 1/2 (pow.f64 y 2)) (pow.f64 y 2)) (exp.f64 1)) (pow.f64 x 2)) (exp.f64 1))))
(exp.f64 1)
(+.f64 (.f64 -1 (/.f64 (.f64 y (exp.f64 1)) x)) (exp.f64 1))
(+.f64 (.f64 3/2 (/.f64 (.f64 (pow.f64 y 2) (exp.f64 1)) (pow.f64 x 2))) (+.f64 (.f64 -1 (/.f64 (.f64 y (exp.f64 1)) x)) (exp.f64 1)))
(+.f64 (.f64 3/2 (/.f64 (.f64 (pow.f64 y 2) (exp.f64 1)) (pow.f64 x 2))) (+.f64 (.f64 -13/6 (/.f64 (.f64 (pow.f64 y 3) (exp.f64 1)) (pow.f64 x 3))) (+.f64 (.f64 -1 (/.f64 (.f64 y (exp.f64 1)) x)) (exp.f64 1))))
1
(+.f64 1 (/.f64 x y))
(+.f64 (.f64 -1 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (+.f64 1 (+.f64 (/.f64 x y) (.f64 1/2 (/.f64 (pow.f64 x 2) (pow.f64 y 2))))))
(+.f64 (.f64 -1 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (+.f64 1 (+.f64 (.f64 -1 (/.f64 (pow.f64 x 3) (pow.f64 y 3))) (+.f64 (/.f64 x y) (+.f64 (.f64 1/6 (/.f64 (pow.f64 x 3) (pow.f64 y 3))) (+.f64 (/.f64 (pow.f64 x 3) (pow.f64 y 3)) (.f64 1/2 (/.f64 (pow.f64 x 2) (pow.f64 y 2)))))))))
1
(+.f64 1 (/.f64 x y))
(+.f64 (.f64 -1 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (+.f64 1 (+.f64 (/.f64 x y) (.f64 1/2 (/.f64 (pow.f64 x 2) (pow.f64 y 2))))))
(+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 -1/6 (pow.f64 x 3)) (+.f64 (.f64 -1 (pow.f64 x 3)) (pow.f64 x 3))) (pow.f64 y 3))) (+.f64 (.f64 -1 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (+.f64 1 (+.f64 (/.f64 x y) (*.f64 1/2 (/.f64 (pow.f64 x 2) (pow.f64 y 2)))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 x (+.f64 x y))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 x (+.f64 x y))))))
(+.f64 0 (/.f64 x (+.f64 x y)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 x (+.f64 x y)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 x (+.f64 x y))))))
(-.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 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) (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))))
(/.f64 x (+.f64 x y))
(/.f64 1 (/.f64 (+.f64 x y) x))
(/.f64 1 (/.f64 (/.f64 (+.f64 x y) x) 1))
(/.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 -1 (neg.f64 (/.f64 (+.f64 x y) x)))
(/.f64 (neg.f64 (neg.f64 x)) (neg.f64 (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)
(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))
(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 (exp.f64 (/.f64 x (+.f64 x y))))) 1)
(*.f64 (exp.f64 (/.f64 x (+.f64 x y))) 1)
(*.f64 1 (exp.f64 (/.f64 x (+.f64 x y))))
(*.f64 (sqrt.f64 (exp.f64 (/.f64 x (+.f64 x y)))) (sqrt.f64 (exp.f64 (/.f64 x (+.f64 x y)))))
(*.f64 (cbrt.f64 (exp.f64 (/.f64 x (+.f64 x y)))) (pow.f64 (cbrt.f64 (exp.f64 (/.f64 x (+.f64 x y)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 x (+.f64 x y)))) 2) (cbrt.f64 (exp.f64 (/.f64 x (+.f64 x y)))))
(pow.f64 (exp.f64 (/.f64 x (+.f64 x y))) 1)
(pow.f64 (sqrt.f64 (exp.f64 (/.f64 x (+.f64 x y)))) 2)
(pow.f64 (cbrt.f64 (exp.f64 (/.f64 x (+.f64 x y)))) 3)
(pow.f64 (pow.f64 (exp.f64 (/.f64 x (+.f64 x y))) 3) 1/3)
(pow.f64 (exp.f64 x) (/.f64 1 (+.f64 x y)))
(pow.f64 (exp.f64 (sqrt.f64 (/.f64 x (+.f64 x y)))) (sqrt.f64 (/.f64 x (+.f64 x y))))
(pow.f64 (exp.f64 1) (/.f64 x (+.f64 x y)))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (/.f64 x (+.f64 x y))) 2)) (cbrt.f64 (/.f64 x (+.f64 x y))))
(sqrt.f64 (pow.f64 (exp.f64 (/.f64 x (+.f64 x y))) 2))
(log.f64 (exp.f64 (exp.f64 (/.f64 x (+.f64 x y)))))
(log.f64 (+.f64 1 (expm1.f64 (exp.f64 (/.f64 x (+.f64 x y))))))
(cbrt.f64 (pow.f64 (exp.f64 (/.f64 x (+.f64 x y))) 3))
(expm1.f64 (log1p.f64 (exp.f64 (/.f64 x (+.f64 x y)))))
(log1p.f64 (expm1.f64 (exp.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))))
(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 (pow.f64 x 3) (pow.f64 y 3))) (*.f64 (/.f64 x y) (/.f64 x y)))
(+.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 (.f64 (/.f64 x y) (/.f64 x y)) (+.f64 (/.f64 x y) -1))) (/.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 x) (/.f64 y 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 1 (-.f64 (-.f64 (*.f64 (/.f64 y x) (/.f64 y x)) (/.f64 (pow.f64 y 3) (pow.f64 x 3))) (/.f64 y x)))
(-.f64 (+.f64 1 (*.f64 (/.f64 y x) (-.f64 (/.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 1 (+.f64 (neg.f64 (/.f64 y x)) (/.f64 (.f64 y y) (.f64 x x))))
(+.f64 1 (-.f64 (*.f64 (/.f64 y x) (/.f64 y 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 1 (-.f64 (-.f64 (*.f64 (/.f64 y x) (/.f64 y x)) (/.f64 (pow.f64 y 3) (pow.f64 x 3))) (/.f64 y x)))
(-.f64 (+.f64 1 (*.f64 (/.f64 y x) (-.f64 (/.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 1 (+.f64 (neg.f64 (/.f64 y x)) (/.f64 (.f64 y y) (.f64 x x))))
(+.f64 1 (-.f64 (*.f64 (/.f64 y x) (/.f64 y 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 1 (-.f64 (-.f64 (*.f64 (/.f64 y x) (/.f64 y x)) (/.f64 (pow.f64 y 3) (pow.f64 x 3))) (/.f64 y x)))
(-.f64 (+.f64 1 (*.f64 (/.f64 y x) (-.f64 (/.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 (pow.f64 x 3) (pow.f64 y 3))) (*.f64 (/.f64 x y) (/.f64 x y)))
(+.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 (.f64 (/.f64 x y) (/.f64 x y)) (+.f64 (/.f64 x y) -1))) (/.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))))
(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 (pow.f64 x 3) (pow.f64 y 3))) (*.f64 (/.f64 x y) (/.f64 x y)))
(+.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 (.f64 (/.f64 x y) (/.f64 x y)) (+.f64 (/.f64 x y) -1))) (/.f64 (pow.f64 x 4) (pow.f64 y 4)))
1
(+.f64 1 (/.f64 x y))
(+.f64 (/.f64 x y) 1)
(+.f64 1 (+.f64 (/.f64 x y) (*.f64 -1/2 (/.f64 (pow.f64 x 2) (pow.f64 y 2)))))
(+.f64 1 (+.f64 (/.f64 x y) (.f64 (/.f64 (.f64 x x) (*.f64 y y)) -1/2)))
(+.f64 1 (fma.f64 (*.f64 (/.f64 x y) (/.f64 x y)) -1/2 (/.f64 x y)))
(+.f64 1 (+.f64 (/.f64 x y) (+.f64 (.f64 1/6 (/.f64 (pow.f64 x 3) (pow.f64 y 3))) (.f64 -1/2 (/.f64 (pow.f64 x 2) (pow.f64 y 2))))))
(+.f64 1 (+.f64 (/.f64 x y) (fma.f64 1/6 (/.f64 (pow.f64 x 3) (pow.f64 y 3)) (.f64 (/.f64 (.f64 x x) (*.f64 y y)) -1/2))))
(+.f64 (/.f64 x y) (+.f64 (fma.f64 (.f64 (/.f64 x y) (/.f64 x y)) -1/2 (.f64 (/.f64 (pow.f64 x 3) (pow.f64 y 3)) 1/6)) 1))
(+.f64 1 (+.f64 (/.f64 x y) (fma.f64 (.f64 (/.f64 x y) (/.f64 x y)) -1/2 (.f64 (/.f64 (pow.f64 x 3) (pow.f64 y 3)) 1/6))))
(exp.f64 1)
(E.f64)
(+.f64 (.f64 -1 (/.f64 (.f64 y (exp.f64 1)) x)) (exp.f64 1))
(fma.f64 -1 (/.f64 y (/.f64 x (E.f64))) (E.f64))
(-.f64 (E.f64) (*.f64 (/.f64 y x) (E.f64)))
(+.f64 (.f64 -1 (/.f64 (.f64 y (exp.f64 1)) x)) (+.f64 (/.f64 (.f64 (+.f64 (.f64 1/2 (pow.f64 y 2)) (pow.f64 y 2)) (exp.f64 1)) (pow.f64 x 2)) (exp.f64 1)))
(fma.f64 -1 (/.f64 y (/.f64 x (E.f64))) (+.f64 (E.f64) (/.f64 (.f64 3/2 (.f64 y y)) (/.f64 (*.f64 x x) (E.f64)))))
(fma.f64 3/2 (/.f64 (.f64 y y) (/.f64 x (/.f64 (E.f64) x))) (-.f64 (E.f64) (.f64 (/.f64 y x) (E.f64))))
(+.f64 (E.f64) (.f64 (E.f64) (-.f64 (/.f64 (.f64 (.f64 y y) 3/2) (.f64 x x)) (/.f64 y x))))
(+.f64 (/.f64 (.f64 (+.f64 (.f64 -1/6 (pow.f64 y 3)) (.f64 -2 (pow.f64 y 3))) (exp.f64 1)) (pow.f64 x 3)) (+.f64 (.f64 -1 (/.f64 (.f64 y (exp.f64 1)) x)) (+.f64 (/.f64 (.f64 (+.f64 (*.f64 1/2 (pow.f64 y 2)) (pow.f64 y 2)) (exp.f64 1)) (pow.f64 x 2)) (exp.f64 1))))
(+.f64 (fma.f64 -1 (/.f64 y (/.f64 x (E.f64))) (+.f64 (E.f64) (/.f64 (.f64 3/2 (.f64 y y)) (/.f64 (.f64 x x) (E.f64))))) (/.f64 (.f64 (pow.f64 y 3) -13/6) (/.f64 (pow.f64 x 3) (E.f64))))
(fma.f64 3/2 (/.f64 (.f64 y y) (/.f64 x (/.f64 (E.f64) x))) (fma.f64 -13/6 (.f64 (/.f64 (pow.f64 y 3) (pow.f64 x 3)) (E.f64)) (-.f64 (E.f64) (*.f64 (/.f64 y x) (E.f64)))))
(fma.f64 3/2 (.f64 (/.f64 y (/.f64 x (/.f64 (E.f64) x))) y) (+.f64 (E.f64) (.f64 (E.f64) (-.f64 (/.f64 (*.f64 (pow.f64 y 3) -13/6) (pow.f64 x 3)) (/.f64 y x)))))
(exp.f64 1)
(E.f64)
(+.f64 (.f64 -1 (/.f64 (.f64 y (exp.f64 1)) x)) (exp.f64 1))
(fma.f64 -1 (/.f64 y (/.f64 x (E.f64))) (E.f64))
(-.f64 (E.f64) (*.f64 (/.f64 y x) (E.f64)))
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(fma.f64 -1 (/.f64 y (/.f64 x (E.f64))) (+.f64 (E.f64) (/.f64 (.f64 3/2 (.f64 y y)) (/.f64 (*.f64 x x) (E.f64)))))
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(fma.f64 3/2 (/.f64 (.f64 y y) (/.f64 x (/.f64 (E.f64) x))) (fma.f64 -13/6 (.f64 (/.f64 (pow.f64 y 3) (pow.f64 x 3)) (E.f64)) (-.f64 (E.f64) (*.f64 (/.f64 y x) (E.f64)))))
(fma.f64 3/2 (.f64 (/.f64 y (/.f64 x (/.f64 (E.f64) x))) y) (+.f64 (E.f64) (.f64 (E.f64) (-.f64 (/.f64 (*.f64 (pow.f64 y 3) -13/6) (pow.f64 x 3)) (/.f64 y x)))))
(exp.f64 1)
(E.f64)
(+.f64 (.f64 -1 (/.f64 (.f64 y (exp.f64 1)) x)) (exp.f64 1))
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(-.f64 (E.f64) (*.f64 (/.f64 y x) (E.f64)))
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(fma.f64 -1 (/.f64 y (/.f64 x (E.f64))) (+.f64 (E.f64) (/.f64 (.f64 3/2 (.f64 y y)) (/.f64 (*.f64 x x) (E.f64)))))
(fma.f64 3/2 (/.f64 (.f64 y y) (/.f64 x (/.f64 (E.f64) x))) (-.f64 (E.f64) (.f64 (/.f64 y x) (E.f64))))
(+.f64 (E.f64) (.f64 (E.f64) (-.f64 (/.f64 (.f64 (.f64 y y) 3/2) (.f64 x x)) (/.f64 y x))))
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(fma.f64 3/2 (/.f64 (.f64 y y) (/.f64 x (/.f64 (E.f64) x))) (fma.f64 -13/6 (.f64 (/.f64 (pow.f64 y 3) (pow.f64 x 3)) (E.f64)) (-.f64 (E.f64) (*.f64 (/.f64 y x) (E.f64)))))
(fma.f64 3/2 (.f64 (/.f64 y (/.f64 x (/.f64 (E.f64) x))) y) (+.f64 (E.f64) (.f64 (E.f64) (-.f64 (/.f64 (*.f64 (pow.f64 y 3) -13/6) (pow.f64 x 3)) (/.f64 y x)))))
1
(+.f64 1 (/.f64 x y))
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(+.f64 (.f64 -1 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (+.f64 1 (+.f64 (/.f64 x y) (.f64 1/2 (/.f64 (pow.f64 x 2) (pow.f64 y 2))))))
(+.f64 1 (+.f64 (/.f64 x y) (.f64 (/.f64 (.f64 x x) (*.f64 y y)) -1/2)))
(+.f64 1 (fma.f64 (*.f64 (/.f64 x y) (/.f64 x y)) -1/2 (/.f64 x y)))
(+.f64 (.f64 -1 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (+.f64 1 (+.f64 (.f64 -1 (/.f64 (pow.f64 x 3) (pow.f64 y 3))) (+.f64 (/.f64 x y) (+.f64 (.f64 1/6 (/.f64 (pow.f64 x 3) (pow.f64 y 3))) (+.f64 (/.f64 (pow.f64 x 3) (pow.f64 y 3)) (.f64 1/2 (/.f64 (pow.f64 x 2) (pow.f64 y 2)))))))))
(fma.f64 -1 (/.f64 (.f64 x x) (.f64 y y)) (+.f64 1 (fma.f64 -1 (/.f64 (pow.f64 x 3) (pow.f64 y 3)) (+.f64 (/.f64 x y) (fma.f64 1/6 (/.f64 (pow.f64 x 3) (pow.f64 y 3)) (+.f64 (/.f64 (pow.f64 x 3) (pow.f64 y 3)) (.f64 (/.f64 (.f64 x x) (*.f64 y y)) 1/2)))))))
(-.f64 (+.f64 1 (-.f64 (+.f64 (.f64 7/6 (/.f64 (pow.f64 x 3) (pow.f64 y 3))) (fma.f64 (.f64 (/.f64 x y) (/.f64 x y)) 1/2 (/.f64 x y))) (/.f64 (pow.f64 x 3) (pow.f64 y 3)))) (*.f64 (/.f64 x y) (/.f64 x y)))
(+.f64 1 (-.f64 (+.f64 (.f64 (/.f64 (pow.f64 x 3) (pow.f64 y 3)) 7/6) (fma.f64 (.f64 (/.f64 x y) (/.f64 x y)) -1/2 (/.f64 x y))) (/.f64 (pow.f64 x 3) (pow.f64 y 3))))
1
(+.f64 1 (/.f64 x y))
(+.f64 (/.f64 x y) 1)
(+.f64 (.f64 -1 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (+.f64 1 (+.f64 (/.f64 x y) (.f64 1/2 (/.f64 (pow.f64 x 2) (pow.f64 y 2))))))
(+.f64 1 (+.f64 (/.f64 x y) (.f64 (/.f64 (.f64 x x) (*.f64 y y)) -1/2)))
(+.f64 1 (fma.f64 (*.f64 (/.f64 x y) (/.f64 x y)) -1/2 (/.f64 x y)))
(+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 -1/6 (pow.f64 x 3)) (+.f64 (.f64 -1 (pow.f64 x 3)) (pow.f64 x 3))) (pow.f64 y 3))) (+.f64 (.f64 -1 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (+.f64 1 (+.f64 (/.f64 x y) (*.f64 1/2 (/.f64 (pow.f64 x 2) (pow.f64 y 2)))))))
(+.f64 1 (+.f64 (/.f64 x y) (fma.f64 1/6 (/.f64 (pow.f64 x 3) (pow.f64 y 3)) (.f64 (/.f64 (.f64 x x) (*.f64 y y)) -1/2))))
(+.f64 (/.f64 x y) (+.f64 (fma.f64 (.f64 (/.f64 x y) (/.f64 x y)) -1/2 (.f64 (/.f64 (pow.f64 x 3) (pow.f64 y 3)) 1/6)) 1))
(+.f64 1 (+.f64 (/.f64 x y) (fma.f64 (.f64 (/.f64 x y) (/.f64 x y)) -1/2 (.f64 (/.f64 (pow.f64 x 3) (pow.f64 y 3)) 1/6))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 x (+.f64 x y))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 x (+.f64 x y))))))
(*.f64 2 (log.f64 (sqrt.f64 (exp.f64 (/.f64 x (+.f64 x y))))))
(+.f64 0 (/.f64 x (+.f64 x y)))
(/.f64 x (+.f64 x y))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 x (+.f64 x y)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 x (+.f64 x y))))))
(*.f64 3 (log.f64 (cbrt.f64 (exp.f64 (/.f64 x (+.f64 x y))))))
(-.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 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 x (-.f64 (.f64 x x) (*.f64 y y))) (-.f64 x y))
(*.f64 (/.f64 x (+.f64 x y)) (/.f64 (-.f64 x 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 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)) (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)))
(/.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 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 -1 (neg.f64 (/.f64 (+.f64 x y) x)))
(/.f64 x (+.f64 x y))
(/.f64 (neg.f64 (neg.f64 x)) (neg.f64 (neg.f64 (+.f64 x y))))
(/.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))
(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))
(fabs.f64 (/.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))
(-.f64 (exp.f64 (log1p.f64 (exp.f64 (/.f64 x (+.f64 x y))))) 1)
(exp.f64 (/.f64 x (+.f64 x y)))
(*.f64 (exp.f64 (/.f64 x (+.f64 x y))) 1)
(exp.f64 (/.f64 x (+.f64 x y)))
(*.f64 1 (exp.f64 (/.f64 x (+.f64 x y))))
(exp.f64 (/.f64 x (+.f64 x y)))
(*.f64 (sqrt.f64 (exp.f64 (/.f64 x (+.f64 x y)))) (sqrt.f64 (exp.f64 (/.f64 x (+.f64 x y)))))
(exp.f64 (/.f64 x (+.f64 x y)))
(*.f64 (cbrt.f64 (exp.f64 (/.f64 x (+.f64 x y)))) (pow.f64 (cbrt.f64 (exp.f64 (/.f64 x (+.f64 x y)))) 2))
(exp.f64 (/.f64 x (+.f64 x y)))
(*.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 x (+.f64 x y)))) 2) (cbrt.f64 (exp.f64 (/.f64 x (+.f64 x y)))))
(exp.f64 (/.f64 x (+.f64 x y)))
(pow.f64 (exp.f64 (/.f64 x (+.f64 x y))) 1)
(exp.f64 (/.f64 x (+.f64 x y)))
(pow.f64 (sqrt.f64 (exp.f64 (/.f64 x (+.f64 x y)))) 2)
(exp.f64 (/.f64 x (+.f64 x y)))
(pow.f64 (cbrt.f64 (exp.f64 (/.f64 x (+.f64 x y)))) 3)
(exp.f64 (/.f64 x (+.f64 x y)))
(pow.f64 (pow.f64 (exp.f64 (/.f64 x (+.f64 x y))) 3) 1/3)
(exp.f64 (/.f64 x (+.f64 x y)))
(pow.f64 (exp.f64 x) (/.f64 1 (+.f64 x y)))
(exp.f64 (/.f64 x (+.f64 x y)))
(pow.f64 (exp.f64 (sqrt.f64 (/.f64 x (+.f64 x y)))) (sqrt.f64 (/.f64 x (+.f64 x y))))
(exp.f64 (/.f64 x (+.f64 x y)))
(pow.f64 (exp.f64 1) (/.f64 x (+.f64 x y)))
(exp.f64 (/.f64 x (+.f64 x y)))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (/.f64 x (+.f64 x y))) 2)) (cbrt.f64 (/.f64 x (+.f64 x y))))
(exp.f64 (/.f64 x (+.f64 x y)))
(sqrt.f64 (pow.f64 (exp.f64 (/.f64 x (+.f64 x y))) 2))
(fabs.f64 (exp.f64 (/.f64 x (+.f64 x y))))
(log.f64 (exp.f64 (exp.f64 (/.f64 x (+.f64 x y)))))
(exp.f64 (/.f64 x (+.f64 x y)))
(log.f64 (+.f64 1 (expm1.f64 (exp.f64 (/.f64 x (+.f64 x y))))))
(exp.f64 (/.f64 x (+.f64 x y)))
(cbrt.f64 (pow.f64 (exp.f64 (/.f64 x (+.f64 x y))) 3))
(exp.f64 (/.f64 x (+.f64 x y)))
(expm1.f64 (log1p.f64 (exp.f64 (/.f64 x (+.f64 x y)))))
(exp.f64 (/.f64 x (+.f64 x y)))
(log1p.f64 (expm1.f64 (exp.f64 (/.f64 x (+.f64 x y)))))
(exp.f64 (/.f64 x (+.f64 x y)))

localize7.0ms (0.3%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(/.f64 1 (+.f64 x y))
✓	0.2b	(*.f64 (/.f64 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	@	0	(/.f64 1 (+.f64 x y))
0.0ms	x	@	0	(/.f64 1 (+.f64 x y))
0.0ms	x	@	inf	(/.f64 1 (+.f64 x y))
0.0ms	y	@	inf	(/.f64 1 (+.f64 x y))

rewrite63.0ms (3%)

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

((#(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))))))))

simplify89.0ms (4.2%)

Algorithm

1×	egg-herbie

Rules

1228×	`times-frac`
1006×	`unswap-sqr`
864×	`associate-+r-`
716×	`associate-/l*`
698×	`associate-*r/`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	168	2778
1	417	2472
2	1540	2298
3	7626	2298

Stop Event

1×	node limit

Counts

96 → 105

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

localize7.0ms (0.3%)

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

localize3.0ms (0.1%)

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

eval94.0ms (4.4%)

Compiler: Compiled 4414 to 2095 computations (52.5% saved)

prune42.0ms (2%)

Pruning

7 alts after pruning (2 fresh and 5 done)

	Pruned	Kept	Total
New	298	1	299
Fresh	0	1	1
Picked	0	1	1
Done	0	4	4
Total	298	7	305

Error

Counts

305 → 7

Alt Table

Click to see full alt table

Status	Error	Program
✓	0.0b	(/.f64 x (+.f64 x y))
✓	30.6b	(/.f64 x y)
✓	33.2b	(-.f64 1 (/.f64 y x))
✓	0.2b	(*.f64 (/.f64 1 (+.f64 x y)) x)
▶	30.6b	(*.f64 (/.f64 1 y) x)
✓	22.7b	(log.f64 (exp.f64 (/.f64 x (+.f64 x y))))
	32.6b	1

Compiler

Compiled 47 to 32 computations (31.9% saved)

localize5.0ms (0.2%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 13 to 8 computations (38.5% saved)

series28.0ms (1.3%)

Counts

1 → 24

Calls

6 calls:

Time	Variable		Point	Expression
26.0ms	y	@	0	(*.f64 (/.f64 1 y) x)
0.0ms	x	@	inf	(*.f64 (/.f64 1 y) x)
0.0ms	y	@	inf	(*.f64 (/.f64 1 y) x)
0.0ms	x	@	-inf	(*.f64 (/.f64 1 y) x)
0.0ms	y	@	-inf	(*.f64 (/.f64 1 y) x)

rewrite79.0ms (3.7%)

Algorithm

1×	batch-egg-rewrite

Rules

1280×	`add-sqr-sqrt`
1264×	`*-un-lft-identity`
1174×	`add-cube-cbrt`
1156×	`add-cbrt-cube`
1142×	`add-exp-log`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	7
1	138	7
2	1628	7

Stop Event

1×	node limit

Counts

1 → 21

Calls

Call 1

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

Outputs

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

simplify46.0ms (2.2%)

Algorithm

1×	egg-herbie

Rules

1114×	`associate-/l/`
848×	`associate-/r/`
716×	`log-prod`
708×	`*-commutative`
654×	`associate-r`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	58	315
1	127	315
2	449	315
3	2693	315

Stop Event

1×	node limit

Counts

45 → 21

Calls

Call 1

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

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

eval3.0ms (0.2%)

Compiler: Compiled 149 to 97 computations (34.9% saved)

prune5.0ms (0.2%)

Pruning

7 alts after pruning (1 fresh and 6 done)

	Pruned	Kept	Total
New	21	0	21
Fresh	0	1	1
Picked	0	1	1
Done	0	5	5
Total	21	7	28

Error

Counts

28 → 7

Alt Table

Click to see full alt table

Status	Error	Program
✓	0.0b	(/.f64 x (+.f64 x y))
✓	30.6b	(/.f64 x y)
✓	33.2b	(-.f64 1 (/.f64 y x))
✓	0.2b	(*.f64 (/.f64 1 (+.f64 x y)) x)
✓	30.6b	(*.f64 (/.f64 1 y) x)
✓	22.7b	(log.f64 (exp.f64 (/.f64 x (+.f64 x y))))
	32.6b	1

Compiler

Compiled 47 to 32 computations (31.9% saved)

eval0.0ms (0%)

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

prune3.0ms (0.1%)

Pruning

7 alts after pruning (1 fresh and 6 done)

	Kept	Total
New	0	0
Fresh	1	1
Picked	0	0
Done	6	6
Total	7	7

Error

Counts

7 → 7

Alt Table

Click to see full alt table

Status	Error	Program
✓	0.0b	(/.f64 x (+.f64 x y))
✓	30.6b	(/.f64 x y)
✓	33.2b	(-.f64 1 (/.f64 y x))
✓	0.2b	(*.f64 (/.f64 1 (+.f64 x y)) x)
✓	30.6b	(*.f64 (/.f64 1 y) x)
✓	22.7b	(log.f64 (exp.f64 (/.f64 x (+.f64 x y))))
	32.6b	1

Compiler

Compiled 47 to 32 computations (31.9% saved)

regimes18.0ms (0.9%)

Counts

7 → 1

Calls

Call 1

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

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

Calls

3 calls:

8.0ms	x
5.0ms	y
4.0ms	(/.f64 x (+.f64 x y))

Results

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

Compiler

Compiled 48 to 25 computations (47.9% saved)

regimes44.0ms (2.1%)

Counts

4 → 3

Calls

Call 1

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

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

Calls

2 calls:

34.0ms	x
10.0ms	y

Results

Error	Segments	Branch
12.6b	3	`x`
15.5b	3	`y`

Compiler

Compiled 22 to 14 computations (36.4% saved)

bsearch24.0ms (1.2%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
10.0ms	1.2435090963925242e-5	0.0023048230511338347
14.0ms	-2.3723254273430195e-19	-2.1136937554519882e-29

Results

21.0ms

272×

body

256

valid

Compiler

Compiled 210 to 158 computations (24.8% saved)

regimes22.0ms (1%)

Accuracy

Total -49.2b remaining (-386.6%)

Threshold costs -49.2b (-386.6%)

Counts

3 → 3

Calls

Call 1

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

Outputs
1
(/.f64 x y)
1

Calls

2 calls:

13.0ms	x
9.0ms	y

Results

Error	Segments	Branch
12.7b	3	`x`
15.5b	3	`y`

Compiler

Compiled 17 to 11 computations (35.3% saved)

bsearch55.0ms (2.6%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
10.0ms	1.2435090963925242e-5	0.0023048230511338347
45.0ms	-2.3723254273430195e-19	-2.1136937554519882e-29

Results

52.0ms

272×

body

256

valid

Compiler

Compiled 182 to 144 computations (20.9% saved)

simplify6.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

8×	`+-commutative`
6×	`sub-neg`
4×	`neg-mul-1`
4×	`*-commutative`
4×	`neg-sub0`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	25	80
1	36	80
2	42	80
3	46	80
4	49	80
5	50	80

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(/.f64 x (+.f64 x y))
(if (<=.f64 x -1531270651144223/680564733841876926926749214863536422912) 1 (if (<=.f64 x 3804640965202595/2305843009213693952) (/.f64 x y) (-.f64 1 (/.f64 y x))))
(if (<=.f64 x -3615500148534971/5316911983139663491615228241121378304) 1 (if (<=.f64 x 5534023222112865/4611686018427387904) (/.f64 x y) 1))
1

Outputs
(/.f64 x (+.f64 x y))
(if (<=.f64 x -1531270651144223/680564733841876926926749214863536422912) 1 (if (<=.f64 x 3804640965202595/2305843009213693952) (/.f64 x y) (-.f64 1 (/.f64 y x))))
(if (<=.f64 x -3615500148534971/5316911983139663491615228241121378304) 1 (if (<=.f64 x 5534023222112865/4611686018427387904) (/.f64 x y) 1))
1

Compiler

Compiled 44 to 31 computations (29.5% saved)

soundness0.0ms (0%)

end27.0ms (1.3%)

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

Details

analyze82.0ms (3.9%)

sample1.0s (48.4%)

preprocess4.0ms (0.2%)

simplify12.0ms (0.6%)

eval0.0ms (0%)

prune1.0ms (0%)

localize4.0ms (0.2%)

series2.0ms (0.1%)

rewrite66.0ms (3.1%)

simplify71.0ms (3.3%)

eval14.0ms (0.6%)

prune10.0ms (0.5%)

localize12.0ms (0.6%)

series3.0ms (0.1%)

rewrite69.0ms (3.2%)

simplify73.0ms (3.4%)

localize7.0ms (0.3%)

series2.0ms (0.1%)

rewrite63.0ms (3%)

simplify89.0ms (4.2%)

localize7.0ms (0.3%)

localize3.0ms (0.1%)

eval94.0ms (4.4%)

prune42.0ms (2%)

localize5.0ms (0.2%)

series28.0ms (1.3%)

rewrite79.0ms (3.7%)

simplify46.0ms (2.2%)

eval3.0ms (0.2%)

prune5.0ms (0.2%)

eval0.0ms (0%)

prune3.0ms (0.1%)

regimes18.0ms (0.9%)

regimes44.0ms (2.1%)

bsearch24.0ms (1.2%)

regimes22.0ms (1%)

bsearch55.0ms (2.6%)

simplify6.0ms (0.3%)

soundness0.0ms (0%)

end27.0ms (1.3%)

Profiling