Details

analyze56.0ms (4%)

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
25%	74.9%	0.1%	4
43.7%	56.2%	0.1%	5
65.6%	34.3%	0.1%	6
76.5%	23.4%	0.1%	7
82%	18%	0.1%	8
87.8%	12.1%	0.1%	9
90.7%	9.2%	0.1%	10
93.8%	6.1%	0.1%	11
95.3%	4.6%	0.1%	12
96.8%	3.1%	0.1%	13
97.6%	2.3%	0.1%	14

Compiler

Compiled 8 to 5 computations (37.5% saved)

sample775.0ms (55.5%)

Results

759.0ms

8256×

body

128

valid

Compiler

Compiled 16 to 10 computations (37.5% saved)

preprocess15.0ms (1.1%)

Algorithm

2×	egg-herbie

Rules

1×	`+-commutative_binary64`

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	saturated
1×	saturated

Calls

Call 1

Inputs
0
1

Outputs
0
1

Call 2

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

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

Compiler

Compiled 7 to 4 computations (42.9% saved)

simplify6.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

1×	`+-commutative_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	7
1	6	7

Stop Event

1×

saturated

Counts

1 → 2

Calls

Call 1

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

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

prune1.0ms (0.1%)

Pruning

2 alts after pruning (2 fresh and 0 done)

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

Error

0.0b

Counts

3 → 1

Alt Table

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

Compiler

Compiled 26 to 14 computations (46.2% saved)

localize3.0ms (0.2%)

Local error

Found 1 expressions with local error:

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

series5.0ms (0.4%)

Counts

1 → 24

Calls

6 calls:

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

rewrite46.0ms (3.3%)

Algorithm

1×	batch-egg-rewrite

Rules

711×	`pow1_binary64`
664×	`add-log-exp_binary64`
664×	`log1p-expm1-u_binary64`
664×	`expm1-log1p-u_binary64`
63×	`add-sqr-sqrt_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	7
1	115	7
2	1752	7

Stop Event

1×	node limit

Counts

1 → 34

Calls

Call 1

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

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

simplify23.0ms (1.7%)

Algorithm

1×	egg-herbie

Rules

384×	`associate-/l*_binary64`
333×	`associate-/r*_binary64`
321×	`associate-*l/_binary64`
252×	`fma-def_binary64`
233×	`associate-l_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	30	438
1	78	438
2	222	387
3	962	345

Stop Event

1×	node limit

Counts

58 → 47

Calls

Call 1

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

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

prune35.0ms (2.5%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	45	2	47
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	45	3	48

Error

Counts

48 → 3

Alt Table

Status	Error	Program
▶	0.6b	(pow.f64 (cbrt.f64 (/.f64 x (+.f64 x y))) 3)
✓	0.0b	(/.f64 x (+.f64 y x))
	32.6b	(fma.f64 (*.f64 (/.f64 x y) (/.f64 x y)) (+.f64 (/.f64 x y) -1) (/.f64 x y))

Compiler

Compiled 593 to 250 computations (57.8% saved)

localize5.0ms (0.4%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(/.f64 x (+.f64 x y))
✓	0.3b	(pow.f64 (cbrt.f64 (/.f64 x (+.f64 x y))) 3)
✓	6.6b	(cbrt.f64 (/.f64 x (+.f64 x y)))

series31.0ms (2.2%)

Counts

3 → 48

Calls

18 calls:

Time	Variable		Point	Expression
7.0ms	x	@	-inf	(cbrt.f64 (/.f64 x (+.f64 x y)))
6.0ms	x	@	-inf	(pow.f64 (cbrt.f64 (/.f64 x (+.f64 x y))) 3)
4.0ms	x	@	inf	(pow.f64 (cbrt.f64 (/.f64 x (+.f64 x y))) 3)
3.0ms	y	@	inf	(pow.f64 (cbrt.f64 (/.f64 x (+.f64 x y))) 3)
2.0ms	x	@	0	(pow.f64 (cbrt.f64 (/.f64 x (+.f64 x y))) 3)

rewrite57.0ms (4.1%)

Algorithm

1×	batch-egg-rewrite

Rules

835×	`log1p-expm1-u_binary64`
835×	`expm1-log1p-u_binary64`
83×	`add-sqr-sqrt_binary64`
79×	`add-log-exp_binary64`
79×	`pow1_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	23
1	183	23
2	2260	23

Stop Event

1×	node limit

Counts

3 → 121

Calls

Call 1

Inputs
(cbrt.f64 (/.f64 x (+.f64 x y)))
(pow.f64 (cbrt.f64 (/.f64 x (+.f64 x y))) 3)
(/.f64 x (+.f64 x y))

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

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

simplify31.0ms (2.2%)

Algorithm

1×	egg-herbie

Rules

737×	`times-frac_binary64`
447×	`associate-/l*_binary64`
360×	`fma-def_binary64`
332×	`associate-/r*_binary64`
267×	`cancel-sign-sub-inv_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	93	1053
1	286	1030
2	1131	889

Stop Event

1×	node limit

Counts

169 → 118

Calls

Call 1

Inputs
1
(-.f64 1 (*.f64 1/3 (/.f64 y x)))
(-.f64 (+.f64 (.f64 2/9 (/.f64 (pow.f64 y 2) (pow.f64 x 2))) 1) (.f64 1/3 (/.f64 y x)))
(-.f64 (+.f64 (.f64 2/9 (/.f64 (pow.f64 y 2) (pow.f64 x 2))) 1) (+.f64 (.f64 1/3 (/.f64 y x)) (*.f64 14/81 (/.f64 (pow.f64 y 3) (pow.f64 x 3)))))
(pow.f64 (cbrt.f64 -1) 2)
(+.f64 (.f64 1/3 (.f64 (/.f64 y x) (pow.f64 (cbrt.f64 -1) 1/3))) (pow.f64 (cbrt.f64 -1) 2))
(-.f64 (+.f64 (.f64 1/3 (.f64 (/.f64 y x) (pow.f64 (cbrt.f64 -1) 1/3))) (pow.f64 (cbrt.f64 -1) 2)) (+.f64 (.f64 1/9 (.f64 (/.f64 (pow.f64 y 2) (pow.f64 x 2)) (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 4)) 1/3))) (.f64 1/3 (/.f64 (pow.f64 y 2) (.f64 (cbrt.f64 -1) (pow.f64 x 2))))))
(-.f64 (+.f64 (.f64 2/9 (.f64 (/.f64 (pow.f64 y 3) (pow.f64 x 3)) (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 8)) 1/3))) (+.f64 (.f64 1/3 (/.f64 (pow.f64 y 3) (.f64 (cbrt.f64 -1) (pow.f64 x 3)))) (+.f64 (.f64 1/3 (.f64 (/.f64 y x) (pow.f64 (cbrt.f64 -1) 1/3))) (pow.f64 (cbrt.f64 -1) 2)))) (+.f64 (.f64 1/9 (.f64 (/.f64 (pow.f64 y 2) (pow.f64 x 2)) (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 4)) 1/3))) (+.f64 (.f64 1/3 (/.f64 (pow.f64 y 2) (.f64 (cbrt.f64 -1) (pow.f64 x 2)))) (*.f64 5/81 (/.f64 (pow.f64 y 3) (pow.f64 x 3))))))
1
(-.f64 1 (*.f64 1/3 (/.f64 y x)))
(-.f64 (+.f64 (.f64 2/9 (/.f64 (pow.f64 y 2) (pow.f64 x 2))) 1) (.f64 1/3 (/.f64 y x)))
(-.f64 (+.f64 (.f64 2/9 (/.f64 (pow.f64 y 2) (pow.f64 x 2))) 1) (+.f64 (.f64 1/3 (/.f64 y x)) (*.f64 14/81 (/.f64 (pow.f64 y 3) (pow.f64 x 3)))))
1
(-.f64 1 (/.f64 y x))
(-.f64 (+.f64 (/.f64 (pow.f64 y 2) (pow.f64 x 2)) 1) (/.f64 y x))
(-.f64 (+.f64 (/.f64 (pow.f64 y 2) (pow.f64 x 2)) 1) (+.f64 (/.f64 y x) (/.f64 (pow.f64 y 3) (pow.f64 x 3))))
(pow.f64 (cbrt.f64 -1) 6)
(+.f64 (pow.f64 (cbrt.f64 -1) 6) (*.f64 (/.f64 y x) (pow.f64 (pow.f64 (cbrt.f64 -1) 13) 1/3)))
(+.f64 (/.f64 (pow.f64 y 2) (pow.f64 x 2)) (+.f64 (pow.f64 (cbrt.f64 -1) 6) (*.f64 (/.f64 y x) (pow.f64 (pow.f64 (cbrt.f64 -1) 13) 1/3))))
(-.f64 (+.f64 (/.f64 (pow.f64 y 2) (pow.f64 x 2)) (+.f64 (pow.f64 (cbrt.f64 -1) 6) (.f64 (/.f64 y x) (pow.f64 (pow.f64 (cbrt.f64 -1) 13) 1/3)))) (+.f64 (.f64 5/27 (/.f64 (.f64 (pow.f64 y 3) (pow.f64 (cbrt.f64 -1) 4)) (pow.f64 x 3))) (+.f64 (/.f64 (pow.f64 y 3) (pow.f64 x 3)) (.f64 5/27 (/.f64 (*.f64 (pow.f64 y 3) (cbrt.f64 -1)) (pow.f64 x 3))))))
1
(-.f64 1 (/.f64 y x))
(-.f64 (+.f64 (/.f64 (pow.f64 y 2) (pow.f64 x 2)) 1) (/.f64 y x))
(-.f64 (+.f64 (/.f64 (pow.f64 y 2) (pow.f64 x 2)) 1) (+.f64 (/.f64 y x) (/.f64 (pow.f64 y 3) (pow.f64 x 3))))
(/.f64 x y)
(-.f64 (/.f64 x y) (/.f64 (pow.f64 x 2) (pow.f64 y 2)))
(-.f64 (+.f64 (/.f64 x y) (/.f64 (pow.f64 x 3) (pow.f64 y 3))) (/.f64 (pow.f64 x 2) (pow.f64 y 2)))
(-.f64 (+.f64 (/.f64 x y) (/.f64 (pow.f64 x 3) (pow.f64 y 3))) (+.f64 (/.f64 (pow.f64 x 4) (pow.f64 y 4)) (/.f64 (pow.f64 x 2) (pow.f64 y 2))))
1
(-.f64 1 (/.f64 y x))
(-.f64 (+.f64 (/.f64 (pow.f64 y 2) (pow.f64 x 2)) 1) (/.f64 y x))
(-.f64 (+.f64 (/.f64 (pow.f64 y 2) (pow.f64 x 2)) 1) (+.f64 (/.f64 y x) (/.f64 (pow.f64 y 3) (pow.f64 x 3))))
1
(-.f64 1 (/.f64 y x))
(-.f64 (+.f64 (/.f64 (pow.f64 y 2) (pow.f64 x 2)) 1) (/.f64 y x))
(-.f64 (+.f64 (/.f64 (pow.f64 y 2) (pow.f64 x 2)) 1) (+.f64 (/.f64 y x) (/.f64 (pow.f64 y 3) (pow.f64 x 3))))
1
(-.f64 1 (/.f64 y x))
(-.f64 (+.f64 (/.f64 (pow.f64 y 2) (pow.f64 x 2)) 1) (/.f64 y x))
(-.f64 (+.f64 (/.f64 (pow.f64 y 2) (pow.f64 x 2)) 1) (+.f64 (/.f64 y x) (/.f64 (pow.f64 y 3) (pow.f64 x 3))))
(/.f64 x y)
(-.f64 (/.f64 x y) (/.f64 (pow.f64 x 2) (pow.f64 y 2)))
(-.f64 (+.f64 (/.f64 x y) (/.f64 (pow.f64 x 3) (pow.f64 y 3))) (/.f64 (pow.f64 x 2) (pow.f64 y 2)))
(-.f64 (+.f64 (/.f64 x y) (/.f64 (pow.f64 x 3) (pow.f64 y 3))) (+.f64 (/.f64 (pow.f64 x 4) (pow.f64 y 4)) (/.f64 (pow.f64 x 2) (pow.f64 y 2))))
(/.f64 x y)
(-.f64 (/.f64 x y) (/.f64 (pow.f64 x 2) (pow.f64 y 2)))
(-.f64 (+.f64 (/.f64 x y) (/.f64 (pow.f64 x 3) (pow.f64 y 3))) (/.f64 (pow.f64 x 2) (pow.f64 y 2)))
(-.f64 (+.f64 (/.f64 x y) (/.f64 (pow.f64 x 3) (pow.f64 y 3))) (+.f64 (/.f64 (pow.f64 x 4) (pow.f64 y 4)) (/.f64 (pow.f64 x 2) (pow.f64 y 2))))

Outputs
1
(-.f64 1 (*.f64 1/3 (/.f64 y x)))
(+.f64 1 (*.f64 -1/3 (/.f64 y x)))
(+.f64 1 (*.f64 (/.f64 y x) -1/3))
(fma.f64 (/.f64 y x) -1/3 1)
(-.f64 (+.f64 (.f64 2/9 (/.f64 (pow.f64 y 2) (pow.f64 x 2))) 1) (.f64 1/3 (/.f64 y x)))
(+.f64 (fma.f64 2/9 (/.f64 (.f64 y y) (.f64 x x)) 1) (*.f64 -1/3 (/.f64 y x)))
(+.f64 (fma.f64 2/9 (.f64 (/.f64 y x) (/.f64 y x)) 1) (.f64 (/.f64 y x) -1/3))
(fma.f64 (/.f64 y x) -1/3 (fma.f64 2/9 (*.f64 (/.f64 y x) (/.f64 y x)) 1))
(-.f64 (+.f64 (.f64 2/9 (/.f64 (pow.f64 y 2) (pow.f64 x 2))) 1) (+.f64 (.f64 1/3 (/.f64 y x)) (*.f64 14/81 (/.f64 (pow.f64 y 3) (pow.f64 x 3)))))
(-.f64 (fma.f64 2/9 (/.f64 (.f64 y y) (.f64 x x)) 1) (fma.f64 1/3 (/.f64 y x) (*.f64 14/81 (/.f64 (pow.f64 y 3) (pow.f64 x 3)))))
(-.f64 (fma.f64 2/9 (.f64 (/.f64 y x) (/.f64 y x)) 1) (fma.f64 14/81 (/.f64 (pow.f64 y 3) (pow.f64 x 3)) (.f64 1/3 (/.f64 y x))))
(-.f64 (fma.f64 2/9 (.f64 (/.f64 y x) (/.f64 y x)) 1) (fma.f64 1/3 (/.f64 y x) (.f64 14/81 (pow.f64 (/.f64 y x) 3))))
(pow.f64 (cbrt.f64 -1) 2)
(+.f64 (.f64 1/3 (.f64 (/.f64 y x) (pow.f64 (cbrt.f64 -1) 1/3))) (pow.f64 (cbrt.f64 -1) 2))
(fma.f64 1/3 (*.f64 (/.f64 y x) (cbrt.f64 (cbrt.f64 -1))) (pow.f64 (cbrt.f64 -1) 2))
(-.f64 (+.f64 (.f64 1/3 (.f64 (/.f64 y x) (pow.f64 (cbrt.f64 -1) 1/3))) (pow.f64 (cbrt.f64 -1) 2)) (+.f64 (.f64 1/9 (.f64 (/.f64 (pow.f64 y 2) (pow.f64 x 2)) (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 4)) 1/3))) (.f64 1/3 (/.f64 (pow.f64 y 2) (.f64 (cbrt.f64 -1) (pow.f64 x 2))))))
(-.f64 (fma.f64 1/3 (.f64 (/.f64 y x) (cbrt.f64 (cbrt.f64 -1))) (pow.f64 (cbrt.f64 -1) 2)) (fma.f64 1/9 (.f64 (/.f64 (.f64 y y) (.f64 x x)) (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 4)))) (/.f64 (.f64 1/3 (.f64 y y)) (.f64 (.f64 x x) (cbrt.f64 -1)))))
(-.f64 (fma.f64 1/3 (.f64 (/.f64 y x) (cbrt.f64 (cbrt.f64 -1))) (pow.f64 (cbrt.f64 -1) 2)) (fma.f64 1/3 (.f64 (/.f64 y (cbrt.f64 -1)) (/.f64 y (.f64 x x))) (.f64 (cbrt.f64 (/.f64 1 (.f64 (cbrt.f64 -1) -1))) (.f64 (*.f64 (/.f64 y x) (/.f64 y x)) 1/9))))
(-.f64 (fma.f64 1/3 (.f64 (/.f64 y x) (cbrt.f64 (cbrt.f64 -1))) (pow.f64 (cbrt.f64 -1) 2)) (.f64 (.f64 (/.f64 y x) (/.f64 y x)) (+.f64 (/.f64 1/3 (cbrt.f64 -1)) (.f64 1/9 (cbrt.f64 (/.f64 -1 (cbrt.f64 -1)))))))
(-.f64 (+.f64 (.f64 2/9 (.f64 (/.f64 (pow.f64 y 3) (pow.f64 x 3)) (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 8)) 1/3))) (+.f64 (.f64 1/3 (/.f64 (pow.f64 y 3) (.f64 (cbrt.f64 -1) (pow.f64 x 3)))) (+.f64 (.f64 1/3 (.f64 (/.f64 y x) (pow.f64 (cbrt.f64 -1) 1/3))) (pow.f64 (cbrt.f64 -1) 2)))) (+.f64 (.f64 1/9 (.f64 (/.f64 (pow.f64 y 2) (pow.f64 x 2)) (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 4)) 1/3))) (+.f64 (.f64 1/3 (/.f64 (pow.f64 y 2) (.f64 (cbrt.f64 -1) (pow.f64 x 2)))) (*.f64 5/81 (/.f64 (pow.f64 y 3) (pow.f64 x 3))))))
(-.f64 (fma.f64 2/9 (.f64 (/.f64 (pow.f64 y 3) (pow.f64 x 3)) (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 8)))) (fma.f64 1/3 (/.f64 (pow.f64 y 3) (.f64 (pow.f64 x 3) (cbrt.f64 -1))) (fma.f64 1/3 (.f64 (/.f64 y x) (cbrt.f64 (cbrt.f64 -1))) (pow.f64 (cbrt.f64 -1) 2)))) (fma.f64 1/9 (.f64 (/.f64 (.f64 y y) (.f64 x x)) (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 4)))) (fma.f64 1/3 (/.f64 (.f64 y y) (.f64 (.f64 x x) (cbrt.f64 -1))) (.f64 (/.f64 (pow.f64 y 3) (pow.f64 x 3)) 5/81))))
(-.f64 (fma.f64 (.f64 2/9 (/.f64 (pow.f64 y 3) (pow.f64 x 3))) (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 8))) (fma.f64 1/3 (/.f64 (pow.f64 y 3) (.f64 (pow.f64 x 3) (cbrt.f64 -1))) (fma.f64 1/3 (.f64 (/.f64 y x) (cbrt.f64 (cbrt.f64 -1))) (pow.f64 (cbrt.f64 -1) 2)))) (fma.f64 (.f64 (.f64 (/.f64 y x) (/.f64 y x)) 1/9) (cbrt.f64 (/.f64 1 (.f64 (cbrt.f64 -1) -1))) (fma.f64 (/.f64 (pow.f64 y 3) (pow.f64 x 3)) 5/81 (.f64 (/.f64 1/3 (cbrt.f64 -1)) (.f64 (/.f64 y x) (/.f64 y x))))))
(+.f64 (.f64 (pow.f64 (/.f64 y x) 3) (+.f64 (.f64 2/9 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 2)))) (/.f64 1/3 (cbrt.f64 -1)))) (-.f64 (fma.f64 1/3 (.f64 (/.f64 y x) (cbrt.f64 (cbrt.f64 -1))) (pow.f64 (cbrt.f64 -1) 2)) (fma.f64 (pow.f64 (/.f64 y x) 3) 5/81 (.f64 (.f64 (/.f64 y x) (/.f64 y x)) (+.f64 (/.f64 1/3 (cbrt.f64 -1)) (.f64 1/9 (cbrt.f64 (/.f64 -1 (cbrt.f64 -1)))))))))
1
(-.f64 1 (*.f64 1/3 (/.f64 y x)))
(+.f64 1 (*.f64 -1/3 (/.f64 y x)))
(+.f64 1 (*.f64 (/.f64 y x) -1/3))
(fma.f64 (/.f64 y x) -1/3 1)
(-.f64 (+.f64 (.f64 2/9 (/.f64 (pow.f64 y 2) (pow.f64 x 2))) 1) (.f64 1/3 (/.f64 y x)))
(+.f64 (fma.f64 2/9 (/.f64 (.f64 y y) (.f64 x x)) 1) (*.f64 -1/3 (/.f64 y x)))
(+.f64 (fma.f64 2/9 (.f64 (/.f64 y x) (/.f64 y x)) 1) (.f64 (/.f64 y x) -1/3))
(fma.f64 (/.f64 y x) -1/3 (fma.f64 2/9 (*.f64 (/.f64 y x) (/.f64 y x)) 1))
(-.f64 (+.f64 (.f64 2/9 (/.f64 (pow.f64 y 2) (pow.f64 x 2))) 1) (+.f64 (.f64 1/3 (/.f64 y x)) (*.f64 14/81 (/.f64 (pow.f64 y 3) (pow.f64 x 3)))))
(-.f64 (fma.f64 2/9 (/.f64 (.f64 y y) (.f64 x x)) 1) (fma.f64 1/3 (/.f64 y x) (*.f64 14/81 (/.f64 (pow.f64 y 3) (pow.f64 x 3)))))
(-.f64 (fma.f64 2/9 (.f64 (/.f64 y x) (/.f64 y x)) 1) (fma.f64 14/81 (/.f64 (pow.f64 y 3) (pow.f64 x 3)) (.f64 1/3 (/.f64 y x))))
(-.f64 (fma.f64 2/9 (.f64 (/.f64 y x) (/.f64 y x)) 1) (fma.f64 1/3 (/.f64 y x) (.f64 14/81 (pow.f64 (/.f64 y x) 3))))
1
(-.f64 1 (/.f64 y x))
(-.f64 (+.f64 (/.f64 (pow.f64 y 2) (pow.f64 x 2)) 1) (/.f64 y x))
(+.f64 (/.f64 (.f64 y y) (.f64 x x)) (-.f64 1 (/.f64 y x)))
(+.f64 1 (-.f64 (*.f64 (/.f64 y x) (/.f64 y x)) (/.f64 y x)))
(+.f64 1 (*.f64 (/.f64 y x) (+.f64 (/.f64 y x) -1)))
(-.f64 (+.f64 (/.f64 (pow.f64 y 2) (pow.f64 x 2)) 1) (+.f64 (/.f64 y x) (/.f64 (pow.f64 y 3) (pow.f64 x 3))))
(+.f64 (/.f64 (.f64 y y) (.f64 x x)) (-.f64 1 (+.f64 (/.f64 y x) (/.f64 (pow.f64 y 3) (pow.f64 x 3)))))
(+.f64 1 (-.f64 (*.f64 (/.f64 y x) (/.f64 y x)) (+.f64 (/.f64 y x) (/.f64 (pow.f64 y 3) (pow.f64 x 3)))))
(-.f64 (+.f64 1 (*.f64 (/.f64 y x) (+.f64 (/.f64 y x) -1))) (pow.f64 (/.f64 y x) 3))
(pow.f64 (cbrt.f64 -1) 6)
1
(+.f64 (pow.f64 (cbrt.f64 -1) 6) (*.f64 (/.f64 y x) (pow.f64 (pow.f64 (cbrt.f64 -1) 13) 1/3)))
(+.f64 (pow.f64 (cbrt.f64 -1) 6) (*.f64 (/.f64 y x) (cbrt.f64 (pow.f64 (cbrt.f64 -1) 13))))
(fma.f64 (/.f64 y x) (cbrt.f64 (pow.f64 (cbrt.f64 -1) 13)) 1)
(+.f64 (/.f64 (pow.f64 y 2) (pow.f64 x 2)) (+.f64 (pow.f64 (cbrt.f64 -1) 6) (*.f64 (/.f64 y x) (pow.f64 (pow.f64 (cbrt.f64 -1) 13) 1/3))))
(+.f64 (+.f64 (/.f64 (.f64 y y) (.f64 x x)) (pow.f64 (cbrt.f64 -1) 6)) (*.f64 (/.f64 y x) (cbrt.f64 (pow.f64 (cbrt.f64 -1) 13))))
(+.f64 (*.f64 (/.f64 y x) (/.f64 y x)) (fma.f64 (/.f64 y x) (cbrt.f64 (pow.f64 (cbrt.f64 -1) 13)) 1))
(+.f64 (*.f64 (/.f64 y x) (+.f64 (/.f64 y x) (cbrt.f64 (pow.f64 (cbrt.f64 -1) 13)))) 1)
(-.f64 (+.f64 (/.f64 (pow.f64 y 2) (pow.f64 x 2)) (+.f64 (pow.f64 (cbrt.f64 -1) 6) (.f64 (/.f64 y x) (pow.f64 (pow.f64 (cbrt.f64 -1) 13) 1/3)))) (+.f64 (.f64 5/27 (/.f64 (.f64 (pow.f64 y 3) (pow.f64 (cbrt.f64 -1) 4)) (pow.f64 x 3))) (+.f64 (/.f64 (pow.f64 y 3) (pow.f64 x 3)) (.f64 5/27 (/.f64 (*.f64 (pow.f64 y 3) (cbrt.f64 -1)) (pow.f64 x 3))))))
(-.f64 (+.f64 (+.f64 (/.f64 (.f64 y y) (.f64 x x)) (pow.f64 (cbrt.f64 -1) 6)) (.f64 (/.f64 y x) (cbrt.f64 (pow.f64 (cbrt.f64 -1) 13)))) (fma.f64 5/27 (/.f64 (pow.f64 y 3) (/.f64 (pow.f64 x 3) (pow.f64 (cbrt.f64 -1) 4))) (+.f64 (/.f64 (pow.f64 y 3) (pow.f64 x 3)) (.f64 5/27 (/.f64 (pow.f64 y 3) (/.f64 (pow.f64 x 3) (cbrt.f64 -1)))))))
(-.f64 (+.f64 (.f64 (/.f64 y x) (/.f64 y x)) (fma.f64 (/.f64 y x) (cbrt.f64 (pow.f64 (cbrt.f64 -1) 13)) 1)) (fma.f64 5/27 (.f64 (/.f64 (pow.f64 y 3) (pow.f64 x 3)) (*.f64 (cbrt.f64 -1) -1)) (fma.f64 5/27 (/.f64 (pow.f64 y 3) (/.f64 (pow.f64 x 3) (cbrt.f64 -1))) (/.f64 (pow.f64 y 3) (pow.f64 x 3)))))
(-.f64 (+.f64 (.f64 (/.f64 y x) (+.f64 (/.f64 y x) (cbrt.f64 (pow.f64 (cbrt.f64 -1) 13)))) 1) (fma.f64 5/27 (.f64 (pow.f64 (/.f64 y x) 3) (neg.f64 (cbrt.f64 -1))) (fma.f64 5/27 (*.f64 (pow.f64 (/.f64 y x) 3) (cbrt.f64 -1)) (pow.f64 (/.f64 y x) 3))))
1
(-.f64 1 (/.f64 y x))
(-.f64 (+.f64 (/.f64 (pow.f64 y 2) (pow.f64 x 2)) 1) (/.f64 y x))
(+.f64 (/.f64 (.f64 y y) (.f64 x x)) (-.f64 1 (/.f64 y x)))
(+.f64 1 (-.f64 (*.f64 (/.f64 y x) (/.f64 y x)) (/.f64 y x)))
(+.f64 1 (*.f64 (/.f64 y x) (+.f64 (/.f64 y x) -1)))
(-.f64 (+.f64 (/.f64 (pow.f64 y 2) (pow.f64 x 2)) 1) (+.f64 (/.f64 y x) (/.f64 (pow.f64 y 3) (pow.f64 x 3))))
(+.f64 (/.f64 (.f64 y y) (.f64 x x)) (-.f64 1 (+.f64 (/.f64 y x) (/.f64 (pow.f64 y 3) (pow.f64 x 3)))))
(+.f64 1 (-.f64 (*.f64 (/.f64 y x) (/.f64 y x)) (+.f64 (/.f64 y x) (/.f64 (pow.f64 y 3) (pow.f64 x 3)))))
(-.f64 (+.f64 1 (*.f64 (/.f64 y x) (+.f64 (/.f64 y x) -1))) (pow.f64 (/.f64 y x) 3))
(/.f64 x y)
(-.f64 (/.f64 x y) (/.f64 (pow.f64 x 2) (pow.f64 y 2)))
(-.f64 (/.f64 x y) (/.f64 (.f64 x x) (.f64 y y)))
(-.f64 (/.f64 x y) (*.f64 (/.f64 x y) (/.f64 x y)))
(-.f64 (+.f64 (/.f64 x y) (/.f64 (pow.f64 x 3) (pow.f64 y 3))) (/.f64 (pow.f64 x 2) (pow.f64 y 2)))
(+.f64 (/.f64 x y) (-.f64 (/.f64 (pow.f64 x 3) (pow.f64 y 3)) (/.f64 (.f64 x x) (.f64 y y))))
(+.f64 (/.f64 x y) (.f64 (.f64 (/.f64 x y) (/.f64 x y)) (+.f64 (/.f64 x y) -1)))
(-.f64 (+.f64 (/.f64 x y) (/.f64 (pow.f64 x 3) (pow.f64 y 3))) (+.f64 (/.f64 (pow.f64 x 4) (pow.f64 y 4)) (/.f64 (pow.f64 x 2) (pow.f64 y 2))))
(-.f64 (+.f64 (/.f64 x y) (/.f64 (pow.f64 x 3) (pow.f64 y 3))) (+.f64 (/.f64 (.f64 x x) (.f64 y y)) (/.f64 (pow.f64 x 4) (pow.f64 y 4))))
(+.f64 (/.f64 x y) (-.f64 (/.f64 (pow.f64 x 3) (pow.f64 y 3)) (+.f64 (/.f64 (.f64 x x) (.f64 y y)) (/.f64 (pow.f64 x 4) (pow.f64 y 4)))))
(-.f64 (+.f64 (/.f64 x y) (pow.f64 (/.f64 x y) 3)) (fma.f64 (/.f64 x y) (/.f64 x y) (/.f64 (pow.f64 x 4) (pow.f64 y 4))))
1
(-.f64 1 (/.f64 y x))
(-.f64 (+.f64 (/.f64 (pow.f64 y 2) (pow.f64 x 2)) 1) (/.f64 y x))
(+.f64 (/.f64 (.f64 y y) (.f64 x x)) (-.f64 1 (/.f64 y x)))
(+.f64 1 (-.f64 (*.f64 (/.f64 y x) (/.f64 y x)) (/.f64 y x)))
(+.f64 1 (*.f64 (/.f64 y x) (+.f64 (/.f64 y x) -1)))
(-.f64 (+.f64 (/.f64 (pow.f64 y 2) (pow.f64 x 2)) 1) (+.f64 (/.f64 y x) (/.f64 (pow.f64 y 3) (pow.f64 x 3))))
(+.f64 (/.f64 (.f64 y y) (.f64 x x)) (-.f64 1 (+.f64 (/.f64 y x) (/.f64 (pow.f64 y 3) (pow.f64 x 3)))))
(+.f64 1 (-.f64 (*.f64 (/.f64 y x) (/.f64 y x)) (+.f64 (/.f64 y x) (/.f64 (pow.f64 y 3) (pow.f64 x 3)))))
(-.f64 (+.f64 1 (*.f64 (/.f64 y x) (+.f64 (/.f64 y x) -1))) (pow.f64 (/.f64 y x) 3))
1
(-.f64 1 (/.f64 y x))
(-.f64 (+.f64 (/.f64 (pow.f64 y 2) (pow.f64 x 2)) 1) (/.f64 y x))
(+.f64 (/.f64 (.f64 y y) (.f64 x x)) (-.f64 1 (/.f64 y x)))
(+.f64 1 (-.f64 (*.f64 (/.f64 y x) (/.f64 y x)) (/.f64 y x)))
(+.f64 1 (*.f64 (/.f64 y x) (+.f64 (/.f64 y x) -1)))
(-.f64 (+.f64 (/.f64 (pow.f64 y 2) (pow.f64 x 2)) 1) (+.f64 (/.f64 y x) (/.f64 (pow.f64 y 3) (pow.f64 x 3))))
(+.f64 (/.f64 (.f64 y y) (.f64 x x)) (-.f64 1 (+.f64 (/.f64 y x) (/.f64 (pow.f64 y 3) (pow.f64 x 3)))))
(+.f64 1 (-.f64 (*.f64 (/.f64 y x) (/.f64 y x)) (+.f64 (/.f64 y x) (/.f64 (pow.f64 y 3) (pow.f64 x 3)))))
(-.f64 (+.f64 1 (*.f64 (/.f64 y x) (+.f64 (/.f64 y x) -1))) (pow.f64 (/.f64 y x) 3))
1
(-.f64 1 (/.f64 y x))
(-.f64 (+.f64 (/.f64 (pow.f64 y 2) (pow.f64 x 2)) 1) (/.f64 y x))
(+.f64 (/.f64 (.f64 y y) (.f64 x x)) (-.f64 1 (/.f64 y x)))
(+.f64 1 (-.f64 (*.f64 (/.f64 y x) (/.f64 y x)) (/.f64 y x)))
(+.f64 1 (*.f64 (/.f64 y x) (+.f64 (/.f64 y x) -1)))
(-.f64 (+.f64 (/.f64 (pow.f64 y 2) (pow.f64 x 2)) 1) (+.f64 (/.f64 y x) (/.f64 (pow.f64 y 3) (pow.f64 x 3))))
(+.f64 (/.f64 (.f64 y y) (.f64 x x)) (-.f64 1 (+.f64 (/.f64 y x) (/.f64 (pow.f64 y 3) (pow.f64 x 3)))))
(+.f64 1 (-.f64 (*.f64 (/.f64 y x) (/.f64 y x)) (+.f64 (/.f64 y x) (/.f64 (pow.f64 y 3) (pow.f64 x 3)))))
(-.f64 (+.f64 1 (*.f64 (/.f64 y x) (+.f64 (/.f64 y x) -1))) (pow.f64 (/.f64 y x) 3))
(/.f64 x y)
(-.f64 (/.f64 x y) (/.f64 (pow.f64 x 2) (pow.f64 y 2)))
(-.f64 (/.f64 x y) (/.f64 (.f64 x x) (.f64 y y)))
(-.f64 (/.f64 x y) (*.f64 (/.f64 x y) (/.f64 x y)))
(-.f64 (+.f64 (/.f64 x y) (/.f64 (pow.f64 x 3) (pow.f64 y 3))) (/.f64 (pow.f64 x 2) (pow.f64 y 2)))
(+.f64 (/.f64 x y) (-.f64 (/.f64 (pow.f64 x 3) (pow.f64 y 3)) (/.f64 (.f64 x x) (.f64 y y))))
(+.f64 (/.f64 x y) (.f64 (.f64 (/.f64 x y) (/.f64 x y)) (+.f64 (/.f64 x y) -1)))
(-.f64 (+.f64 (/.f64 x y) (/.f64 (pow.f64 x 3) (pow.f64 y 3))) (+.f64 (/.f64 (pow.f64 x 4) (pow.f64 y 4)) (/.f64 (pow.f64 x 2) (pow.f64 y 2))))
(-.f64 (+.f64 (/.f64 x y) (/.f64 (pow.f64 x 3) (pow.f64 y 3))) (+.f64 (/.f64 (.f64 x x) (.f64 y y)) (/.f64 (pow.f64 x 4) (pow.f64 y 4))))
(+.f64 (/.f64 x y) (-.f64 (/.f64 (pow.f64 x 3) (pow.f64 y 3)) (+.f64 (/.f64 (.f64 x x) (.f64 y y)) (/.f64 (pow.f64 x 4) (pow.f64 y 4)))))
(-.f64 (+.f64 (/.f64 x y) (pow.f64 (/.f64 x y) 3)) (fma.f64 (/.f64 x y) (/.f64 x y) (/.f64 (pow.f64 x 4) (pow.f64 y 4))))
(/.f64 x y)
(-.f64 (/.f64 x y) (/.f64 (pow.f64 x 2) (pow.f64 y 2)))
(-.f64 (/.f64 x y) (/.f64 (.f64 x x) (.f64 y y)))
(-.f64 (/.f64 x y) (*.f64 (/.f64 x y) (/.f64 x y)))
(-.f64 (+.f64 (/.f64 x y) (/.f64 (pow.f64 x 3) (pow.f64 y 3))) (/.f64 (pow.f64 x 2) (pow.f64 y 2)))
(+.f64 (/.f64 x y) (-.f64 (/.f64 (pow.f64 x 3) (pow.f64 y 3)) (/.f64 (.f64 x x) (.f64 y y))))
(+.f64 (/.f64 x y) (.f64 (.f64 (/.f64 x y) (/.f64 x y)) (+.f64 (/.f64 x y) -1)))
(-.f64 (+.f64 (/.f64 x y) (/.f64 (pow.f64 x 3) (pow.f64 y 3))) (+.f64 (/.f64 (pow.f64 x 4) (pow.f64 y 4)) (/.f64 (pow.f64 x 2) (pow.f64 y 2))))
(-.f64 (+.f64 (/.f64 x y) (/.f64 (pow.f64 x 3) (pow.f64 y 3))) (+.f64 (/.f64 (.f64 x x) (.f64 y y)) (/.f64 (pow.f64 x 4) (pow.f64 y 4))))
(+.f64 (/.f64 x y) (-.f64 (/.f64 (pow.f64 x 3) (pow.f64 y 3)) (+.f64 (/.f64 (.f64 x x) (.f64 y y)) (/.f64 (pow.f64 x 4) (pow.f64 y 4)))))
(-.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))))

prune61.0ms (4.4%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	118	0	118
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	118	3	121

Error

Counts

121 → 3

Alt Table

Status	Error	Program
✓	0.6b	(pow.f64 (cbrt.f64 (/.f64 x (+.f64 x y))) 3)
✓	0.0b	(/.f64 x (+.f64 y x))
▶	32.6b	(fma.f64 (*.f64 (/.f64 x y) (/.f64 x y)) (+.f64 (/.f64 x y) -1) (/.f64 x y))

Compiler

Compiled 1840 to 947 computations (48.5% saved)

localize6.0ms (0.4%)

Local error

Found 2 expressions with local error:

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

series9.0ms (0.7%)

Counts

2 → 48

Calls

12 calls:

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

rewrite47.0ms (3.4%)

Algorithm

1×	batch-egg-rewrite

Rules

922×	`log1p-expm1-u_binary64`
922×	`expm1-log1p-u_binary64`
91×	`add-sqr-sqrt_binary64`
88×	`*-un-lft-identity_binary64`
88×	`pow1_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	27
1	176	27
2	2492	27

Stop Event

1×	node limit

Counts

2 → 59

Calls

Call 1

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

Outputs

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

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

simplify38.0ms (2.7%)

Algorithm

1×	egg-herbie

Rules

656×	`fma-def_binary64`
495×	`unswap-sqr_binary64`
389×	`cancel-sign-sub-inv_binary64`
368×	`fma-neg_binary64`
363×	`times-frac_binary64`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	16	732
1	41	732
2	100	678
3	390	651
4	2325	624

Stop Event

1×	node limit

Counts

107 → 70

Calls

Call 1

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

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

prune35.0ms (2.5%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	70	0	70
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	70	3	73

Error

Counts

73 → 3

Alt Table

Status	Error	Program
✓	0.6b	(pow.f64 (cbrt.f64 (/.f64 x (+.f64 x y))) 3)
✓	0.0b	(/.f64 x (+.f64 y x))
✓	32.6b	(fma.f64 (*.f64 (/.f64 x y) (/.f64 x y)) (+.f64 (/.f64 x y) -1) (/.f64 x y))

Compiler

Compiled 1296 to 546 computations (57.9% saved)

regimes45.0ms (3.2%)

Accuracy

Total 0.0b remaining (34.3%)

Threshold costs 0.0b (34.3%)

Counts

28 → 1

Compiler

Compiled 297 to 134 computations (54.9% saved)

simplify2.0ms (0.1%)

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

Calls

Call 1

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

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

end61.0ms (4.4%)

Stop Event

1×

done

Compiler

Compiled 49 to 26 computations (46.9% saved)

Details

analyze56.0ms (4%)

sample775.0ms (55.5%)

preprocess15.0ms (1.1%)

simplify6.0ms (0.5%)

prune1.0ms (0.1%)

localize3.0ms (0.2%)

series5.0ms (0.4%)

rewrite46.0ms (3.3%)

simplify23.0ms (1.7%)

prune35.0ms (2.5%)

localize5.0ms (0.4%)

series31.0ms (2.2%)

rewrite57.0ms (4.1%)

simplify31.0ms (2.2%)

prune61.0ms (4.4%)

localize6.0ms (0.4%)

series9.0ms (0.7%)

rewrite47.0ms (3.4%)

simplify38.0ms (2.7%)

prune35.0ms (2.5%)

regimes45.0ms (3.2%)

simplify2.0ms (0.1%)

end61.0ms (4.4%)

Profiling