Details

analyze49.0ms (1.8%)

Algorithm

1×

Search

True	Other	False	Iter
0%	99.9%	0.1%	0
0%	99.9%	0.1%	1
0%	99.9%	0.1%	2
0%	99.9%	0.1%	3
0%	99.9%	0.1%	4
18.7%	81.2%	0.1%	5
46.8%	53.1%	0.1%	6
56.2%	43.7%	0.1%	7
71%	28.9%	0.1%	8
76.5%	23.4%	0.1%	9
84.9%	15%	0.1%	10
87.8%	12.1%	0.1%	11
92.2%	7.7%	0.1%	12

Compiler

Compiled 8 to 5 computations (37.5% saved)

sample1.1s (41.7%)

Results

1.1s

8256×

body

256

valid

preprocess34.0ms (1.2%)

Algorithm

2×	egg-herbie

Rules

1×	`+-commutative_binary64`

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	saturated
1×	saturated

Calls

Call 1

Inputs
0
1

Outputs
0
1

Call 2

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

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

Compiler

Compiled 9 to 6 computations (33.3% saved)

simplify17.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

1×	`+-commutative_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	7
1	6	7

Stop Event

1×

saturated

Counts

1 → 1

Calls

Call 1

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

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

eval1.0ms (0%)

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

prune1.0ms (0.1%)

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)

localize9.0ms (0.3%)

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)

series8.0ms (0.3%)

Counts

1 → 24

Calls

6 calls:

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

rewrite68.0ms (2.5%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

1 → 33

Calls

Call 1

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

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

Outputs

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

simplify44.0ms (1.6%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 3 (0.0ms)

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

Stop Event

1×	node limit

Counts

57 → 47

Calls

Call 1

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

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

eval38.0ms (1.4%)

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

prune13.0ms (0.5%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	43	4	47
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	43	5	48

Error

Counts

48 → 5

Alt Table

Click to see full alt table

Status	Error	Program
▶	20.2b	(-.f64 (+.f64 1 (/.f64 x (+.f64 x y))) 1)
✓	0.0b	(/.f64 x (+.f64 x y))
	29.1b	1
▶	1.2b	(.f64 (pow.f64 (cbrt.f64 x) 2) (.f64 (cbrt.f64 x) (/.f64 1 (+.f64 x y))))
▶	34.3b	(/.f64 x y)

Compiler

Compiled 41 to 28 computations (31.7% saved)

localize19.0ms (0.7%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.3b	(.f64 (pow.f64 (cbrt.f64 x) 2) (.f64 (cbrt.f64 x) (/.f64 1 (+.f64 x y))))
✓	0.4b	(*.f64 (cbrt.f64 x) (/.f64 1 (+.f64 x y)))
✓	0.5b	(pow.f64 (cbrt.f64 x) 2)
✓	0.6b	(cbrt.f64 x)

Compiler

Compiled 41 to 19 computations (53.7% saved)

series90.0ms (3.3%)

Counts

4 → 36

Calls

18 calls:

Time	Variable		Point	Expression
78.0ms	x	@	0	(*.f64 (cbrt.f64 x) (/.f64 1 (+.f64 x y)))
2.0ms	x	@	-inf	(*.f64 (cbrt.f64 x) (/.f64 1 (+.f64 x y)))
1.0ms	x	@	inf	(*.f64 (cbrt.f64 x) (/.f64 1 (+.f64 x y)))
1.0ms	y	@	0	(*.f64 (cbrt.f64 x) (/.f64 1 (+.f64 x y)))
1.0ms	x	@	-inf	(pow.f64 (cbrt.f64 x) 2)

rewrite71.0ms (2.6%)

Algorithm

1×	batch-egg-rewrite

Rules

566×	`prod-diff_binary64`
515×	`log-prod_binary64`
370×	`pow-prod-down_binary64`
266×	`pow2_binary64`
223×	`pow-unpow_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	11	28
1	235	25
2	2932	25

Stop Event

1×	node limit

Counts

4 → 102

Calls

Call 1

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

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (cbrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (cbrt.f64 x))) 2)) (log.f64 (cbrt.f64 (exp.f64 (cbrt.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (cbrt.f64 x)))) (log.f64 (sqrt.f64 (exp.f64 (cbrt.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (cbrt.f64 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (cbrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (pow.f64 (cbrt.f64 x) 2)) (.f64 (cbrt.f64 (cbrt.f64 x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (cbrt.f64 x)) (cbrt.f64 (pow.f64 (cbrt.f64 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 x 1/6) (pow.f64 x 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 x 1/6) (.f64 (pow.f64 x 1/6) 1))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (cbrt.f64 (.f64 x (cbrt.f64 x)))) (sqrt.f64 (cbrt.f64 (pow.f64 (cbrt.f64 x) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 1 1/3) (cbrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 x 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (cbrt.f64 x) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 x x) 1/6)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 x) 2)) 3/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (cbrt.f64 x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 x) 2/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 x 1/6) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 x 3) 1/9)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (cbrt.f64 x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (cbrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 x) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 x)) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (pow.f64 (cbrt.f64 x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (pow.f64 (cbrt.f64 x) 2))) 2)) (log.f64 (cbrt.f64 (exp.f64 (pow.f64 (cbrt.f64 x) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (cbrt.f64 x) 2)))) (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (cbrt.f64 x) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (pow.f64 (cbrt.f64 x) 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 x) (cbrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 x) 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (pow.f64 (cbrt.f64 x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 (.f64 x (cbrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (.f64 x (cbrt.f64 x))) (cbrt.f64 (pow.f64 (cbrt.f64 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 x) (pow.f64 x 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 x 1/6) (sqrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (cbrt.f64 x)) 5) (cbrt.f64 (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (.f64 x (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 (cbrt.f64 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (pow.f64 (cbrt.f64 x) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 (cbrt.f64 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 (cbrt.f64 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 2/3 (log.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (*.f64 2/3 (log.f64 x)) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 (cbrt.f64 x) (+.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 (cbrt.f64 x) (+.f64 x y)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (cbrt.f64 x) (+.f64 x y))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (cbrt.f64 x) (+.f64 x y))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (cbrt.f64 x) (+.f64 x y))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (cbrt.f64 x) (+.f64 x y)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cbrt.f64 x) (+.f64 x y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 x y) (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cbrt.f64 (pow.f64 (cbrt.f64 x) 2)) (/.f64 (+.f64 x y) (cbrt.f64 (cbrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 x 1/6) (/.f64 (+.f64 x y) (pow.f64 x 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (cbrt.f64 x)) (neg.f64 (+.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (cbrt.f64 x) (sqrt.f64 (+.f64 x y))) (sqrt.f64 (+.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (cbrt.f64 x) 1) (+.f64 x y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (cbrt.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 (cbrt.f64 x)) (neg.f64 (+.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (cbrt.f64 x) -1) (neg.f64 (+.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (cbrt.f64 x) (+.f64 x y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (cbrt.f64 x) (+.f64 x y)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 x (pow.f64 (+.f64 x y) -3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (cbrt.f64 x) (+.f64 x y))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (cbrt.f64 x) (+.f64 x y))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 x (pow.f64 (+.f64 x y) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (+.f64 x y) (cbrt.f64 x)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (cbrt.f64 x) (+.f64 x y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (cbrt.f64 x) (+.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (cbrt.f64 x) (+.f64 x y)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (.f64 x (pow.f64 (+.f64 x y) -3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 x (pow.f64 (+.f64 x y) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (cbrt.f64 x) (+.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (cbrt.f64 x) (+.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (cbrt.f64 x) (+.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 (cbrt.f64 x) (+.f64 x y))) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 x (+.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 x (+.f64 x y)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 x (+.f64 x y))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 x (+.f64 x y))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 x (+.f64 x y))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 x (+.f64 x y)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 x (+.f64 x y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 x -1) (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 (pow.f64 (/.f64 x (+.f64 x y)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 x (+.f64 x y)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 x (+.f64 x y))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 x (+.f64 x y))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 (pow.f64 (+.f64 x y) -1/2) (sqrt.f64 x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 (pow.f64 (+.f64 x y) -3) (pow.f64 x 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 log1p.f64 (expm1.f64 (/.f64 x (+.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 x (+.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (/.f64 x (+.f64 x y))) 1))))))

simplify85.0ms (3.1%)

Algorithm

1×	egg-herbie

Rules

599×	`sub-neg_binary64`
428×	`associate-/l/_binary64`
355×	`fma-def_binary64`
304×	`times-frac_binary64`
303×	`unswap-sqr_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	87	877
1	265	778
2	821	726
3	3526	686
4	6925	686

Stop Event

1×	node limit

Counts

138 → 132

Calls

Call 1

Inputs
(pow.f64 (/.f64 1 (pow.f64 x 2)) 1/3)
(+.f64 (pow.f64 (/.f64 1 (pow.f64 x 2)) 1/3) (.f64 -1 (.f64 (pow.f64 (/.f64 1 (pow.f64 x 5)) 1/3) y)))
(+.f64 (.f64 (pow.f64 (/.f64 1 (pow.f64 x 8)) 1/3) (pow.f64 y 2)) (+.f64 (pow.f64 (/.f64 1 (pow.f64 x 2)) 1/3) (.f64 -1 (*.f64 (pow.f64 (/.f64 1 (pow.f64 x 5)) 1/3) y))))
(+.f64 (.f64 (pow.f64 (/.f64 1 (pow.f64 x 8)) 1/3) (pow.f64 y 2)) (+.f64 (pow.f64 (/.f64 1 (pow.f64 x 2)) 1/3) (+.f64 (.f64 -1 (.f64 (pow.f64 (/.f64 1 (pow.f64 x 11)) 1/3) (pow.f64 y 3))) (.f64 -1 (*.f64 (pow.f64 (/.f64 1 (pow.f64 x 5)) 1/3) y)))))
(.f64 (pow.f64 (.f64 1 x) 1/3) (/.f64 1 y))
(+.f64 (.f64 (pow.f64 (.f64 1 x) 1/3) (/.f64 1 y)) (.f64 -1 (.f64 (pow.f64 (*.f64 1 (pow.f64 x 4)) 1/3) (/.f64 1 (pow.f64 y 2)))))
(+.f64 (.f64 (pow.f64 (.f64 1 x) 1/3) (/.f64 1 y)) (+.f64 (.f64 -1 (.f64 (pow.f64 (.f64 1 (pow.f64 x 4)) 1/3) (/.f64 1 (pow.f64 y 2)))) (.f64 (pow.f64 (*.f64 1 (pow.f64 x 7)) 1/3) (/.f64 1 (pow.f64 y 3)))))
(+.f64 (.f64 -1 (.f64 (pow.f64 (.f64 1 (pow.f64 x 10)) 1/3) (/.f64 1 (pow.f64 y 4)))) (+.f64 (.f64 (pow.f64 (.f64 1 x) 1/3) (/.f64 1 y)) (+.f64 (.f64 -1 (.f64 (pow.f64 (.f64 1 (pow.f64 x 4)) 1/3) (/.f64 1 (pow.f64 y 2)))) (.f64 (pow.f64 (.f64 1 (pow.f64 x 7)) 1/3) (/.f64 1 (pow.f64 y 3))))))
(.f64 (pow.f64 (.f64 1 x) 1/3) (/.f64 1 y))
(+.f64 (.f64 (pow.f64 (.f64 1 x) 1/3) (/.f64 1 y)) (.f64 -1 (.f64 (pow.f64 (*.f64 1 (pow.f64 x 4)) 1/3) (/.f64 1 (pow.f64 y 2)))))
(+.f64 (.f64 (pow.f64 (.f64 1 x) 1/3) (/.f64 1 y)) (+.f64 (.f64 -1 (.f64 (pow.f64 (.f64 1 (pow.f64 x 4)) 1/3) (/.f64 1 (pow.f64 y 2)))) (.f64 (pow.f64 (*.f64 1 (pow.f64 x 7)) 1/3) (/.f64 1 (pow.f64 y 3)))))
(+.f64 (.f64 -1 (.f64 (pow.f64 (.f64 1 (pow.f64 x 10)) 1/3) (/.f64 1 (pow.f64 y 4)))) (+.f64 (.f64 (pow.f64 (.f64 1 x) 1/3) (/.f64 1 y)) (+.f64 (.f64 -1 (.f64 (pow.f64 (.f64 1 (pow.f64 x 4)) 1/3) (/.f64 1 (pow.f64 y 2)))) (.f64 (pow.f64 (.f64 1 (pow.f64 x 7)) 1/3) (/.f64 1 (pow.f64 y 3))))))
(/.f64 x y)
(+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (/.f64 x y))
(+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (+.f64 (/.f64 x y) (/.f64 (pow.f64 x 3) (pow.f64 y 3))))
(+.f64 (.f64 -1 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (+.f64 (.f64 -1 (/.f64 (pow.f64 x 4) (pow.f64 y 4))) (+.f64 (/.f64 x y) (/.f64 (pow.f64 x 3) (pow.f64 y 3)))))
1
(+.f64 1 (*.f64 -1 (/.f64 y x)))
(+.f64 1 (+.f64 (/.f64 (pow.f64 y 2) (pow.f64 x 2)) (*.f64 -1 (/.f64 y x))))
(+.f64 1 (+.f64 (/.f64 (pow.f64 y 2) (pow.f64 x 2)) (+.f64 (.f64 -1 (/.f64 (pow.f64 y 3) (pow.f64 x 3))) (.f64 -1 (/.f64 y x)))))
1
(+.f64 1 (*.f64 -1 (/.f64 y x)))
(+.f64 1 (+.f64 (/.f64 (pow.f64 y 2) (pow.f64 x 2)) (*.f64 -1 (/.f64 y x))))
(+.f64 1 (+.f64 (/.f64 (pow.f64 y 2) (pow.f64 x 2)) (+.f64 (.f64 -1 (/.f64 (pow.f64 y 3) (pow.f64 x 3))) (.f64 -1 (/.f64 y x)))))
1
(+.f64 1 (*.f64 -1 (/.f64 y x)))
(+.f64 1 (+.f64 (/.f64 (pow.f64 y 2) (pow.f64 x 2)) (*.f64 -1 (/.f64 y x))))
(+.f64 1 (+.f64 (/.f64 (pow.f64 y 2) (pow.f64 x 2)) (+.f64 (.f64 -1 (/.f64 (pow.f64 y 3) (pow.f64 x 3))) (.f64 -1 (/.f64 y x)))))
(/.f64 x y)
(+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (/.f64 x y))
(+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (+.f64 (/.f64 x y) (/.f64 (pow.f64 x 3) (pow.f64 y 3))))
(+.f64 (.f64 -1 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (+.f64 (.f64 -1 (/.f64 (pow.f64 x 4) (pow.f64 y 4))) (+.f64 (/.f64 x y) (/.f64 (pow.f64 x 3) (pow.f64 y 3)))))
(/.f64 x y)
(+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (/.f64 x y))
(+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (+.f64 (/.f64 x y) (/.f64 (pow.f64 x 3) (pow.f64 y 3))))
(+.f64 (.f64 -1 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (+.f64 (.f64 -1 (/.f64 (pow.f64 x 4) (pow.f64 y 4))) (+.f64 (/.f64 x y) (/.f64 (pow.f64 x 3) (pow.f64 y 3)))))

Outputs
(pow.f64 (/.f64 1 (pow.f64 x 2)) 1/3)
(cbrt.f64 (/.f64 1 (*.f64 x x)))
(+.f64 (pow.f64 (/.f64 1 (pow.f64 x 2)) 1/3) (.f64 -1 (.f64 (pow.f64 (/.f64 1 (pow.f64 x 5)) 1/3) y)))
(+.f64 (cbrt.f64 (/.f64 1 (.f64 x x))) (neg.f64 (.f64 (cbrt.f64 (/.f64 1 (pow.f64 x 5))) y)))
(-.f64 (cbrt.f64 (/.f64 1 (.f64 x x))) (.f64 (cbrt.f64 (/.f64 1 (pow.f64 x 5))) y))
(+.f64 (.f64 (pow.f64 (/.f64 1 (pow.f64 x 8)) 1/3) (pow.f64 y 2)) (+.f64 (pow.f64 (/.f64 1 (pow.f64 x 2)) 1/3) (.f64 -1 (*.f64 (pow.f64 (/.f64 1 (pow.f64 x 5)) 1/3) y))))
(fma.f64 (cbrt.f64 (/.f64 1 (pow.f64 x 8))) (.f64 y y) (+.f64 (cbrt.f64 (/.f64 1 (.f64 x x))) (neg.f64 (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 x 5))) y))))
(fma.f64 (cbrt.f64 (/.f64 1 (pow.f64 x 8))) (.f64 y y) (-.f64 (cbrt.f64 (/.f64 1 (.f64 x x))) (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 x 5))) y)))
(-.f64 (fma.f64 y (.f64 y (cbrt.f64 (/.f64 1 (pow.f64 x 8)))) (cbrt.f64 (/.f64 1 (.f64 x x)))) (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 x 5))) y))
(+.f64 (cbrt.f64 (/.f64 1 (.f64 x x))) (.f64 y (-.f64 (*.f64 y (cbrt.f64 (/.f64 1 (pow.f64 x 8)))) (cbrt.f64 (/.f64 1 (pow.f64 x 5))))))
(+.f64 (.f64 (pow.f64 (/.f64 1 (pow.f64 x 8)) 1/3) (pow.f64 y 2)) (+.f64 (pow.f64 (/.f64 1 (pow.f64 x 2)) 1/3) (+.f64 (.f64 -1 (.f64 (pow.f64 (/.f64 1 (pow.f64 x 11)) 1/3) (pow.f64 y 3))) (.f64 -1 (*.f64 (pow.f64 (/.f64 1 (pow.f64 x 5)) 1/3) y)))))
(fma.f64 (cbrt.f64 (/.f64 1 (pow.f64 x 8))) (.f64 y y) (+.f64 (cbrt.f64 (/.f64 1 (.f64 x x))) (fma.f64 -1 (.f64 (cbrt.f64 (/.f64 1 (pow.f64 x 11))) (pow.f64 y 3)) (neg.f64 (.f64 (cbrt.f64 (/.f64 1 (pow.f64 x 5))) y)))))
(fma.f64 (cbrt.f64 (/.f64 1 (pow.f64 x 8))) (.f64 y y) (fma.f64 -1 (fma.f64 (cbrt.f64 (/.f64 1 (pow.f64 x 11))) (pow.f64 y 3) (.f64 (cbrt.f64 (/.f64 1 (pow.f64 x 5))) y)) (cbrt.f64 (/.f64 1 (*.f64 x x)))))
(-.f64 (fma.f64 y (.f64 y (cbrt.f64 (/.f64 1 (pow.f64 x 8)))) (cbrt.f64 (/.f64 1 (.f64 x x)))) (fma.f64 (cbrt.f64 (/.f64 1 (pow.f64 x 5))) y (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 x 11))) (pow.f64 y 3))))
(-.f64 (fma.f64 (cbrt.f64 (/.f64 1 (pow.f64 x 8))) (.f64 y y) (cbrt.f64 (/.f64 1 (.f64 x x)))) (fma.f64 (cbrt.f64 (/.f64 1 (pow.f64 x 11))) (pow.f64 y 3) (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 x 5))) y)))
(.f64 (pow.f64 (.f64 1 x) 1/3) (/.f64 1 y))
(/.f64 (*.f64 (cbrt.f64 x) 1) y)
(/.f64 (cbrt.f64 x) y)
(+.f64 (.f64 (pow.f64 (.f64 1 x) 1/3) (/.f64 1 y)) (.f64 -1 (.f64 (pow.f64 (*.f64 1 (pow.f64 x 4)) 1/3) (/.f64 1 (pow.f64 y 2)))))
(fma.f64 (cbrt.f64 x) (/.f64 1 y) (neg.f64 (.f64 (cbrt.f64 (pow.f64 x 4)) (/.f64 1 (.f64 y y)))))
(-.f64 (/.f64 (cbrt.f64 x) y) (/.f64 (cbrt.f64 (pow.f64 x 4)) (*.f64 y y)))
(+.f64 (.f64 (pow.f64 (.f64 1 x) 1/3) (/.f64 1 y)) (+.f64 (.f64 -1 (.f64 (pow.f64 (.f64 1 (pow.f64 x 4)) 1/3) (/.f64 1 (pow.f64 y 2)))) (.f64 (pow.f64 (*.f64 1 (pow.f64 x 7)) 1/3) (/.f64 1 (pow.f64 y 3)))))
(fma.f64 (cbrt.f64 x) (/.f64 1 y) (fma.f64 -1 (.f64 (cbrt.f64 (pow.f64 x 4)) (/.f64 1 (.f64 y y))) (/.f64 (*.f64 (cbrt.f64 (pow.f64 x 7)) 1) (pow.f64 y 3))))
(+.f64 (/.f64 (cbrt.f64 x) y) (-.f64 (/.f64 (cbrt.f64 (pow.f64 x 7)) (pow.f64 y 3)) (/.f64 (cbrt.f64 (pow.f64 x 4)) (*.f64 y y))))
(+.f64 (-.f64 (/.f64 (cbrt.f64 x) y) (/.f64 (cbrt.f64 (pow.f64 x 4)) (*.f64 y y))) (/.f64 (cbrt.f64 (pow.f64 x 7)) (pow.f64 y 3)))
(+.f64 (.f64 -1 (.f64 (pow.f64 (.f64 1 (pow.f64 x 10)) 1/3) (/.f64 1 (pow.f64 y 4)))) (+.f64 (.f64 (pow.f64 (.f64 1 x) 1/3) (/.f64 1 y)) (+.f64 (.f64 -1 (.f64 (pow.f64 (.f64 1 (pow.f64 x 4)) 1/3) (/.f64 1 (pow.f64 y 2)))) (.f64 (pow.f64 (.f64 1 (pow.f64 x 7)) 1/3) (/.f64 1 (pow.f64 y 3))))))
(fma.f64 -1 (/.f64 (.f64 (cbrt.f64 (pow.f64 x 10)) 1) (pow.f64 y 4)) (fma.f64 (cbrt.f64 x) (/.f64 1 y) (fma.f64 -1 (.f64 (cbrt.f64 (pow.f64 x 4)) (/.f64 1 (.f64 y y))) (/.f64 (.f64 (cbrt.f64 (pow.f64 x 7)) 1) (pow.f64 y 3)))))
(-.f64 (+.f64 (/.f64 (cbrt.f64 x) y) (-.f64 (/.f64 (cbrt.f64 (pow.f64 x 7)) (pow.f64 y 3)) (/.f64 (cbrt.f64 (pow.f64 x 4)) (*.f64 y y)))) (/.f64 (cbrt.f64 (pow.f64 x 10)) (pow.f64 y 4)))
(+.f64 (/.f64 (cbrt.f64 x) y) (-.f64 (-.f64 (/.f64 (cbrt.f64 (pow.f64 x 7)) (pow.f64 y 3)) (/.f64 (cbrt.f64 (pow.f64 x 10)) (pow.f64 y 4))) (/.f64 (cbrt.f64 (pow.f64 x 4)) (*.f64 y y))))
(+.f64 (/.f64 (cbrt.f64 x) y) (-.f64 (/.f64 (cbrt.f64 (pow.f64 x 7)) (pow.f64 y 3)) (+.f64 (/.f64 (cbrt.f64 (pow.f64 x 4)) (*.f64 y y)) (/.f64 (cbrt.f64 (pow.f64 x 10)) (pow.f64 y 4)))))
(.f64 (pow.f64 (.f64 1 x) 1/3) (/.f64 1 y))
(/.f64 (*.f64 (cbrt.f64 x) 1) y)
(/.f64 (cbrt.f64 x) y)
(+.f64 (.f64 (pow.f64 (.f64 1 x) 1/3) (/.f64 1 y)) (.f64 -1 (.f64 (pow.f64 (*.f64 1 (pow.f64 x 4)) 1/3) (/.f64 1 (pow.f64 y 2)))))
(fma.f64 (cbrt.f64 x) (/.f64 1 y) (neg.f64 (.f64 (cbrt.f64 (pow.f64 x 4)) (/.f64 1 (.f64 y y)))))
(-.f64 (/.f64 (cbrt.f64 x) y) (/.f64 (cbrt.f64 (pow.f64 x 4)) (*.f64 y y)))
(+.f64 (.f64 (pow.f64 (.f64 1 x) 1/3) (/.f64 1 y)) (+.f64 (.f64 -1 (.f64 (pow.f64 (.f64 1 (pow.f64 x 4)) 1/3) (/.f64 1 (pow.f64 y 2)))) (.f64 (pow.f64 (*.f64 1 (pow.f64 x 7)) 1/3) (/.f64 1 (pow.f64 y 3)))))
(fma.f64 (cbrt.f64 x) (/.f64 1 y) (fma.f64 -1 (.f64 (cbrt.f64 (pow.f64 x 4)) (/.f64 1 (.f64 y y))) (/.f64 (*.f64 (cbrt.f64 (pow.f64 x 7)) 1) (pow.f64 y 3))))
(+.f64 (/.f64 (cbrt.f64 x) y) (-.f64 (/.f64 (cbrt.f64 (pow.f64 x 7)) (pow.f64 y 3)) (/.f64 (cbrt.f64 (pow.f64 x 4)) (*.f64 y y))))
(+.f64 (-.f64 (/.f64 (cbrt.f64 x) y) (/.f64 (cbrt.f64 (pow.f64 x 4)) (*.f64 y y))) (/.f64 (cbrt.f64 (pow.f64 x 7)) (pow.f64 y 3)))
(+.f64 (.f64 -1 (.f64 (pow.f64 (.f64 1 (pow.f64 x 10)) 1/3) (/.f64 1 (pow.f64 y 4)))) (+.f64 (.f64 (pow.f64 (.f64 1 x) 1/3) (/.f64 1 y)) (+.f64 (.f64 -1 (.f64 (pow.f64 (.f64 1 (pow.f64 x 4)) 1/3) (/.f64 1 (pow.f64 y 2)))) (.f64 (pow.f64 (.f64 1 (pow.f64 x 7)) 1/3) (/.f64 1 (pow.f64 y 3))))))
(fma.f64 -1 (/.f64 (.f64 (cbrt.f64 (pow.f64 x 10)) 1) (pow.f64 y 4)) (fma.f64 (cbrt.f64 x) (/.f64 1 y) (fma.f64 -1 (.f64 (cbrt.f64 (pow.f64 x 4)) (/.f64 1 (.f64 y y))) (/.f64 (.f64 (cbrt.f64 (pow.f64 x 7)) 1) (pow.f64 y 3)))))
(-.f64 (+.f64 (/.f64 (cbrt.f64 x) y) (-.f64 (/.f64 (cbrt.f64 (pow.f64 x 7)) (pow.f64 y 3)) (/.f64 (cbrt.f64 (pow.f64 x 4)) (*.f64 y y)))) (/.f64 (cbrt.f64 (pow.f64 x 10)) (pow.f64 y 4)))
(+.f64 (/.f64 (cbrt.f64 x) y) (-.f64 (-.f64 (/.f64 (cbrt.f64 (pow.f64 x 7)) (pow.f64 y 3)) (/.f64 (cbrt.f64 (pow.f64 x 10)) (pow.f64 y 4))) (/.f64 (cbrt.f64 (pow.f64 x 4)) (*.f64 y y))))
(+.f64 (/.f64 (cbrt.f64 x) y) (-.f64 (/.f64 (cbrt.f64 (pow.f64 x 7)) (pow.f64 y 3)) (+.f64 (/.f64 (cbrt.f64 (pow.f64 x 4)) (*.f64 y y)) (/.f64 (cbrt.f64 (pow.f64 x 10)) (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 x y) (-.f64 1 (/.f64 x y)))
(+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (+.f64 (/.f64 x y) (/.f64 (pow.f64 x 3) (pow.f64 y 3))))
(+.f64 (fma.f64 -1 (/.f64 (.f64 x x) (.f64 y y)) (/.f64 x y)) (/.f64 (pow.f64 x 3) (pow.f64 y 3)))
(+.f64 (-.f64 (/.f64 x y) (*.f64 (/.f64 x 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))) (pow.f64 (/.f64 x y) 3))
(-.f64 (pow.f64 (/.f64 x y) 3) (*.f64 (/.f64 x y) (-.f64 (/.f64 x y) 1)))
(-.f64 (pow.f64 (/.f64 x y) 3) (*.f64 (/.f64 x y) (+.f64 -1 (/.f64 x y))))
(+.f64 (.f64 -1 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (+.f64 (.f64 -1 (/.f64 (pow.f64 x 4) (pow.f64 y 4))) (+.f64 (/.f64 x y) (/.f64 (pow.f64 x 3) (pow.f64 y 3)))))
(fma.f64 -1 (/.f64 (.f64 x x) (.f64 y y)) (fma.f64 -1 (/.f64 (pow.f64 x 4) (pow.f64 y 4)) (+.f64 (/.f64 x y) (/.f64 (pow.f64 x 3) (pow.f64 y 3)))))
(-.f64 (-.f64 (+.f64 (/.f64 x y) (/.f64 (pow.f64 x 3) (pow.f64 y 3))) (/.f64 (pow.f64 x 4) (pow.f64 y 4))) (*.f64 (/.f64 x y) (/.f64 x y)))
(-.f64 (+.f64 (/.f64 x y) (pow.f64 (/.f64 x y) 3)) (fma.f64 (/.f64 x y) (/.f64 x y) (/.f64 (pow.f64 x 4) (pow.f64 y 4))))
(.f64 (+.f64 1 (/.f64 (.f64 x x) (.f64 y y))) (.f64 (/.f64 x y) (-.f64 1 (/.f64 x y))))
1
(+.f64 1 (*.f64 -1 (/.f64 y x)))
(+.f64 1 (neg.f64 (/.f64 y x)))
(-.f64 1 (/.f64 y x))
(+.f64 1 (+.f64 (/.f64 (pow.f64 y 2) (pow.f64 x 2)) (*.f64 -1 (/.f64 y x))))
(+.f64 (+.f64 1 (/.f64 (.f64 y y) (.f64 x x))) (neg.f64 (/.f64 y x)))
(+.f64 1 (-.f64 (*.f64 (/.f64 y x) (/.f64 y x)) (/.f64 y x)))
(+.f64 1 (*.f64 (/.f64 y x) (+.f64 -1 (/.f64 y x))))
(+.f64 1 (+.f64 (/.f64 (pow.f64 y 2) (pow.f64 x 2)) (+.f64 (.f64 -1 (/.f64 (pow.f64 y 3) (pow.f64 x 3))) (.f64 -1 (/.f64 y x)))))
(+.f64 1 (+.f64 (/.f64 (.f64 y y) (.f64 x x)) (fma.f64 -1 (/.f64 (pow.f64 y 3) (pow.f64 x 3)) (neg.f64 (/.f64 y x)))))
(+.f64 1 (-.f64 (-.f64 (*.f64 (/.f64 y x) (/.f64 y x)) (/.f64 (pow.f64 y 3) (pow.f64 x 3))) (/.f64 y x)))
(-.f64 (+.f64 1 (*.f64 (/.f64 y x) (+.f64 -1 (/.f64 y x)))) (pow.f64 (/.f64 y x) 3))
(+.f64 1 (-.f64 (*.f64 (/.f64 y x) (+.f64 -1 (/.f64 y x))) (pow.f64 (/.f64 y x) 3)))
1
(+.f64 1 (*.f64 -1 (/.f64 y x)))
(+.f64 1 (neg.f64 (/.f64 y x)))
(-.f64 1 (/.f64 y x))
(+.f64 1 (+.f64 (/.f64 (pow.f64 y 2) (pow.f64 x 2)) (*.f64 -1 (/.f64 y x))))
(+.f64 (+.f64 1 (/.f64 (.f64 y y) (.f64 x x))) (neg.f64 (/.f64 y x)))
(+.f64 1 (-.f64 (*.f64 (/.f64 y x) (/.f64 y x)) (/.f64 y x)))
(+.f64 1 (*.f64 (/.f64 y x) (+.f64 -1 (/.f64 y x))))
(+.f64 1 (+.f64 (/.f64 (pow.f64 y 2) (pow.f64 x 2)) (+.f64 (.f64 -1 (/.f64 (pow.f64 y 3) (pow.f64 x 3))) (.f64 -1 (/.f64 y x)))))
(+.f64 1 (+.f64 (/.f64 (.f64 y y) (.f64 x x)) (fma.f64 -1 (/.f64 (pow.f64 y 3) (pow.f64 x 3)) (neg.f64 (/.f64 y x)))))
(+.f64 1 (-.f64 (-.f64 (*.f64 (/.f64 y x) (/.f64 y x)) (/.f64 (pow.f64 y 3) (pow.f64 x 3))) (/.f64 y x)))
(-.f64 (+.f64 1 (*.f64 (/.f64 y x) (+.f64 -1 (/.f64 y x)))) (pow.f64 (/.f64 y x) 3))
(+.f64 1 (-.f64 (*.f64 (/.f64 y x) (+.f64 -1 (/.f64 y x))) (pow.f64 (/.f64 y x) 3)))
1
(+.f64 1 (*.f64 -1 (/.f64 y x)))
(+.f64 1 (neg.f64 (/.f64 y x)))
(-.f64 1 (/.f64 y x))
(+.f64 1 (+.f64 (/.f64 (pow.f64 y 2) (pow.f64 x 2)) (*.f64 -1 (/.f64 y x))))
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(+.f64 1 (*.f64 (/.f64 y x) (+.f64 -1 (/.f64 y x))))
(+.f64 1 (+.f64 (/.f64 (pow.f64 y 2) (pow.f64 x 2)) (+.f64 (.f64 -1 (/.f64 (pow.f64 y 3) (pow.f64 x 3))) (.f64 -1 (/.f64 y x)))))
(+.f64 1 (+.f64 (/.f64 (.f64 y y) (.f64 x x)) (fma.f64 -1 (/.f64 (pow.f64 y 3) (pow.f64 x 3)) (neg.f64 (/.f64 y x)))))
(+.f64 1 (-.f64 (-.f64 (*.f64 (/.f64 y x) (/.f64 y x)) (/.f64 (pow.f64 y 3) (pow.f64 x 3))) (/.f64 y x)))
(-.f64 (+.f64 1 (*.f64 (/.f64 y x) (+.f64 -1 (/.f64 y x)))) (pow.f64 (/.f64 y x) 3))
(+.f64 1 (-.f64 (*.f64 (/.f64 y x) (+.f64 -1 (/.f64 y x))) (pow.f64 (/.f64 y x) 3)))
(/.f64 x y)
(+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (/.f64 x y))
(fma.f64 -1 (/.f64 (.f64 x x) (.f64 y y)) (/.f64 x y))
(-.f64 (/.f64 x y) (*.f64 (/.f64 x y) (/.f64 x y)))
(*.f64 (/.f64 x y) (-.f64 1 (/.f64 x y)))
(+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (+.f64 (/.f64 x y) (/.f64 (pow.f64 x 3) (pow.f64 y 3))))
(+.f64 (fma.f64 -1 (/.f64 (.f64 x x) (.f64 y y)) (/.f64 x y)) (/.f64 (pow.f64 x 3) (pow.f64 y 3)))
(+.f64 (-.f64 (/.f64 x y) (*.f64 (/.f64 x 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))) (pow.f64 (/.f64 x y) 3))
(-.f64 (pow.f64 (/.f64 x y) 3) (*.f64 (/.f64 x y) (-.f64 (/.f64 x y) 1)))
(-.f64 (pow.f64 (/.f64 x y) 3) (*.f64 (/.f64 x y) (+.f64 -1 (/.f64 x y))))
(+.f64 (.f64 -1 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (+.f64 (.f64 -1 (/.f64 (pow.f64 x 4) (pow.f64 y 4))) (+.f64 (/.f64 x y) (/.f64 (pow.f64 x 3) (pow.f64 y 3)))))
(fma.f64 -1 (/.f64 (.f64 x x) (.f64 y y)) (fma.f64 -1 (/.f64 (pow.f64 x 4) (pow.f64 y 4)) (+.f64 (/.f64 x y) (/.f64 (pow.f64 x 3) (pow.f64 y 3)))))
(-.f64 (-.f64 (+.f64 (/.f64 x y) (/.f64 (pow.f64 x 3) (pow.f64 y 3))) (/.f64 (pow.f64 x 4) (pow.f64 y 4))) (*.f64 (/.f64 x y) (/.f64 x y)))
(-.f64 (+.f64 (/.f64 x y) (pow.f64 (/.f64 x y) 3)) (fma.f64 (/.f64 x y) (/.f64 x y) (/.f64 (pow.f64 x 4) (pow.f64 y 4))))
(.f64 (+.f64 1 (/.f64 (.f64 x x) (.f64 y y))) (.f64 (/.f64 x y) (-.f64 1 (/.f64 x y))))
(/.f64 x y)
(+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (/.f64 x y))
(fma.f64 -1 (/.f64 (.f64 x x) (.f64 y y)) (/.f64 x y))
(-.f64 (/.f64 x y) (*.f64 (/.f64 x y) (/.f64 x y)))
(*.f64 (/.f64 x y) (-.f64 1 (/.f64 x y)))
(+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (+.f64 (/.f64 x y) (/.f64 (pow.f64 x 3) (pow.f64 y 3))))
(+.f64 (fma.f64 -1 (/.f64 (.f64 x x) (.f64 y y)) (/.f64 x y)) (/.f64 (pow.f64 x 3) (pow.f64 y 3)))
(+.f64 (-.f64 (/.f64 x y) (*.f64 (/.f64 x 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))) (pow.f64 (/.f64 x y) 3))
(-.f64 (pow.f64 (/.f64 x y) 3) (*.f64 (/.f64 x y) (-.f64 (/.f64 x y) 1)))
(-.f64 (pow.f64 (/.f64 x y) 3) (*.f64 (/.f64 x y) (+.f64 -1 (/.f64 x y))))
(+.f64 (.f64 -1 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (+.f64 (.f64 -1 (/.f64 (pow.f64 x 4) (pow.f64 y 4))) (+.f64 (/.f64 x y) (/.f64 (pow.f64 x 3) (pow.f64 y 3)))))
(fma.f64 -1 (/.f64 (.f64 x x) (.f64 y y)) (fma.f64 -1 (/.f64 (pow.f64 x 4) (pow.f64 y 4)) (+.f64 (/.f64 x y) (/.f64 (pow.f64 x 3) (pow.f64 y 3)))))
(-.f64 (-.f64 (+.f64 (/.f64 x y) (/.f64 (pow.f64 x 3) (pow.f64 y 3))) (/.f64 (pow.f64 x 4) (pow.f64 y 4))) (*.f64 (/.f64 x y) (/.f64 x y)))
(-.f64 (+.f64 (/.f64 x y) (pow.f64 (/.f64 x y) 3)) (fma.f64 (/.f64 x y) (/.f64 x y) (/.f64 (pow.f64 x 4) (pow.f64 y 4))))
(.f64 (+.f64 1 (/.f64 (.f64 x x) (.f64 y y))) (.f64 (/.f64 x y) (-.f64 1 (/.f64 x y))))

localize12.0ms (0.4%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 1 (/.f64 x (+.f64 x y)))
	0.0b	(/.f64 x (+.f64 x y))
✓	2.1b	(-.f64 (+.f64 1 (/.f64 x (+.f64 x y))) 1)

Compiler

Compiled 29 to 11 computations (62.1% saved)

series4.0ms (0.1%)

Counts

2 → 48

Calls

12 calls:

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

rewrite95.0ms (3.5%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

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

Stop Event

1×	node limit

Counts

2 → 168

Calls

Call 1

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

Outputs

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

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

simplify58.0ms (2.1%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 3 (0.0ms)

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

Stop Event

1×	node limit

Counts

216 → 195

Calls

Call 1

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

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

localize3.0ms (0.1%)

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

eval267.0ms (9.8%)

Compiler: Compiled 6373 to 3133 computations (50.8% saved)

prune58.0ms (2.1%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	404	1	405
Fresh	0	1	1
Picked	0	1	1
Done	1	2	3
Total	405	5	410

Error

Counts

410 → 5

Alt Table

Click to see full alt table

Status	Error	Program
✓	20.2b	(-.f64 (+.f64 1 (/.f64 x (+.f64 x y))) 1)
✓	0.0b	(/.f64 x (+.f64 x y))
	29.1b	1
✓	34.3b	(/.f64 x y)
▶	1.2b	(/.f64 (pow.f64 (cbrt.f64 x) 2) (/.f64 (+.f64 x y) (cbrt.f64 x)))

Compiler

Compiled 39 to 26 computations (33.3% saved)

localize24.0ms (0.9%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(/.f64 (pow.f64 (cbrt.f64 x) 2) (/.f64 (+.f64 x y) (cbrt.f64 x)))
✓	0.2b	(/.f64 (+.f64 x y) (cbrt.f64 x))
	0.5b	(pow.f64 (cbrt.f64 x) 2)
	0.6b	(cbrt.f64 x)

Compiler

Compiled 31 to 11 computations (64.5% saved)

series16.0ms (0.6%)

Counts

2 → 36

Calls

12 calls:

Time	Variable		Point	Expression
5.0ms	y	@	0	(/.f64 (+.f64 x y) (cbrt.f64 x))
2.0ms	x	@	-inf	(/.f64 (+.f64 x y) (cbrt.f64 x))
1.0ms	x	@	0	(/.f64 (+.f64 x y) (cbrt.f64 x))
1.0ms	x	@	inf	(/.f64 (+.f64 x y) (cbrt.f64 x))
1.0ms	y	@	inf	(/.f64 (+.f64 x y) (cbrt.f64 x))

rewrite90.0ms (3.3%)

Algorithm

1×	batch-egg-rewrite

Rules

623×	`prod-diff_binary64`
517×	`log-prod_binary64`
311×	`pow-prod-down_binary64`
258×	`pow2_binary64`
203×	`fma-def_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	9	26
1	205	16
2	2921	16

Stop Event

1×	node limit

Counts

2 → 87

Calls

Call 1

Inputs
(/.f64 (+.f64 x y) (cbrt.f64 x))
(/.f64 (pow.f64 (cbrt.f64 x) 2) (/.f64 (+.f64 x y) (cbrt.f64 x)))

Outputs

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

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

simplify71.0ms (2.6%)

Algorithm

1×	egg-herbie

Rules

801×	`fma-def_binary64`
736×	`associate-/l*_binary64`
544×	`associate-/r*_binary64`
530×	`associate-*l/_binary64`
457×	`fma-neg_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	42	630
1	121	597
2	347	546
3	1426	504

Stop Event

1×	node limit

Counts

123 → 107

Calls

Call 1

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

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

eval71.0ms (2.6%)

Compiler: Compiled 2752 to 1110 computations (59.7% saved)

prune27.0ms (1%)

Pruning

5 alts after pruning (1 fresh and 4 done)

	Pruned	Kept	Total
New	188	1	189
Fresh	1	0	1
Picked	0	1	1
Done	0	3	3
Total	189	5	194

Error

Counts

194 → 5

Alt Table

Click to see full alt table

Status	Error	Program
✓	20.2b	(-.f64 (+.f64 1 (/.f64 x (+.f64 x y))) 1)
✓	0.0b	(/.f64 x (+.f64 x y))
✓	1.2b	(/.f64 (pow.f64 (cbrt.f64 x) 2) (/.f64 (+.f64 x y) (cbrt.f64 x)))
	29.1b	1
✓	34.3b	(/.f64 x y)

Compiler

Compiled 39 to 26 computations (33.3% saved)

eval0.0ms (0%)

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

prune2.0ms (0.1%)

Pruning

5 alts after pruning (1 fresh and 4 done)

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

Error

Counts

5 → 5

Alt Table

Click to see full alt table

Status	Error	Program
✓	20.2b	(-.f64 (+.f64 1 (/.f64 x (+.f64 x y))) 1)
✓	0.0b	(/.f64 x (+.f64 x y))
✓	1.2b	(/.f64 (pow.f64 (cbrt.f64 x) 2) (/.f64 (+.f64 x y) (cbrt.f64 x)))
	29.1b	1
✓	34.3b	(/.f64 x y)

Compiler

Compiled 39 to 26 computations (33.3% saved)

regimes42.0ms (1.5%)

Counts

7 → 1

Calls

Call 1

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

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

Calls

3 calls:

30.0ms	(/.f64 x (+.f64 x y))
5.0ms	y
5.0ms	x

Results

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

Compiler

Compiled 58 to 30 computations (48.3% saved)

regimes34.0ms (1.3%)

Counts

3 → 5

Calls

Call 1

Inputs
1
1
(/.f64 x y)

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

Calls

2 calls:

17.0ms	x
16.0ms	y

Results

Error	Segments	Branch
13.6b	5	`x`
13.8b	5	`y`

Compiler

Compiled 13 to 9 computations (30.8% saved)

bsearch127.0ms (4.7%)

Algorithm

4×	binary-search

Steps

Time	Left	Right
56.0ms	2.0502601440226685e+54	2.924711746553049e+55
14.0ms	6.801818188151072e-90	2.320892963226941e-85
42.0ms	1.4538889935626352e-117	2.654903388408032e-115
14.0ms	-3.9162493988967283e-23	-4.068088719378344e-24

Compiler

Compiled 12 to 8 computations (33.3% saved)

regimes7.0ms (0.3%)

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0.0b (0%)

Counts

2 → 1

Calls

Call 1

Inputs
1
1

Outputs
1

Calls

2 calls:

3.0ms	y
3.0ms	x

Results

Error	Segments	Branch
29.1b	1	`x`
29.1b	1	`y`

Compiler

Compiled 10 to 8 computations (20% saved)

simplify5.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

1×	`+-commutative_binary64`
1×	`1-exp_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	20	43
1	23	43

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs

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

(if (<=.f64 x -3331576537273203/85070591730234615865843651857942052864) 1 (if (<=.f64 x 8255803291785075/5678427533559428832416592249125035424637823130369672345949142181098744438385921275985867583701277855943457200048954515105739075223552) (/.f64 x y) (if (<=.f64 x 3899990150185145/573374653997517877902705223825521735199141247292070280934397209846730719022121202017504638277531421638656) 1 (if (<=.f64 x 2050260144022668501540630164709364169685524647558250496) (/.f64 x y) 1))))

Outputs

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

(if (<=.f64 x -3331576537273203/85070591730234615865843651857942052864) 1 (if (<=.f64 x 8255803291785075/5678427533559428832416592249125035424637823130369672345949142181098744438385921275985867583701277855943457200048954515105739075223552) (/.f64 x y) (if (<=.f64 x 3899990150185145/573374653997517877902705223825521735199141247292070280934397209846730719022121202017504638277531421638656) 1 (if (<=.f64 x 2050260144022668501540630164709364169685524647558250496) (/.f64 x y) 1))))

Compiler

Compiled 37 to 25 computations (32.4% saved)

soundness0.0ms (0%)

end27.0ms (1%)

Compiler: Compiled 33 to 21 computations (36.4% saved)

Details

analyze49.0ms (1.8%)

sample1.1s (41.7%)

preprocess34.0ms (1.2%)

simplify17.0ms (0.6%)

eval1.0ms (0%)

prune1.0ms (0.1%)

localize9.0ms (0.3%)

series8.0ms (0.3%)

rewrite68.0ms (2.5%)

simplify44.0ms (1.6%)

eval38.0ms (1.4%)

prune13.0ms (0.5%)

localize19.0ms (0.7%)

series90.0ms (3.3%)

rewrite71.0ms (2.6%)

simplify85.0ms (3.1%)

localize12.0ms (0.4%)

series4.0ms (0.1%)

rewrite95.0ms (3.5%)

simplify58.0ms (2.1%)

localize3.0ms (0.1%)

eval267.0ms (9.8%)

prune58.0ms (2.1%)

localize24.0ms (0.9%)

series16.0ms (0.6%)

rewrite90.0ms (3.3%)

simplify71.0ms (2.6%)

eval71.0ms (2.6%)

prune27.0ms (1%)

eval0.0ms (0%)

prune2.0ms (0.1%)

regimes42.0ms (1.5%)

regimes34.0ms (1.3%)

bsearch127.0ms (4.7%)

regimes7.0ms (0.3%)

simplify5.0ms (0.2%)

soundness0.0ms (0%)

end27.0ms (1%)

Profiling