Details

analyze60.0ms (5.1%)

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)

sample661.0ms (56.3%)

Results

649.0ms

8256×

body

128

valid

Compiler

Compiled 16 to 10 computations (37.5% saved)

preprocess28.0ms (2.4%)

Algorithm

2×	egg-herbie

Rules

1×	`rules-15_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×	`rules-15_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 (0.3%)

Local error

Found 1 expressions with local error:

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

series6.0ms (0.5%)

Counts

1 → 24

Calls

6 calls:

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

rewrite60.0ms (5.1%)

Algorithm

1×	batch-egg-rewrite

Rules

700×	`rules-30_binary64`
700×	`rules-31_binary64`
700×	`rules-32_binary64`
700×	`rules-33_binary64`
646×	`rules-27_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	7
1	131	7
2	1969	7

Stop Event

1×	node limit

Counts

1 → 33

Calls

Call 1

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

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

simplify35.0ms (3%)

Algorithm

1×	egg-herbie

Rules

486×	`rules-18_binary64`
387×	`rules-20_binary64`
259×	`rules-9_binary64`
216×	`rules-7_binary64`
157×	`fma-neg_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	30	438
1	87	438
2	280	393
3	863	375
4	3646	375

Stop Event

1×	node limit

Counts

57 → 46

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

prune25.0ms (2.1%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	44	2	46
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	44	3	47

Error

Counts

47 → 3

Alt Table

Status	Error	Program
▶	12.8b	(pow.f64 (sqrt.f64 (/.f64 x (+.f64 x y))) 2)
	29.1b	(-.f64 1 (/.f64 y x))
✓	0.0b	(/.f64 x (+.f64 y x))

Compiler

Compiled 532 to 232 computations (56.4% saved)

localize5.0ms (0.4%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(/.f64 x (+.f64 x y))
✓	0.1b	(pow.f64 (sqrt.f64 (/.f64 x (+.f64 x y))) 2)
✓	6.2b	(sqrt.f64 (/.f64 x (+.f64 x y)))

series52.0ms (4.5%)

Counts

3 → 48

Calls

18 calls:

Time	Variable		Point	Expression
9.0ms	y	@	inf	(pow.f64 (sqrt.f64 (/.f64 x (+.f64 x y))) 2)
8.0ms	y	@	-inf	(pow.f64 (sqrt.f64 (/.f64 x (+.f64 x y))) 2)
7.0ms	x	@	0	(pow.f64 (sqrt.f64 (/.f64 x (+.f64 x y))) 2)
6.0ms	y	@	inf	(sqrt.f64 (/.f64 x (+.f64 x y)))
5.0ms	x	@	0	(sqrt.f64 (/.f64 x (+.f64 x y)))

rewrite46.0ms (3.9%)

Algorithm

1×	batch-egg-rewrite

Rules

886×	`rules-31_binary64`
886×	`rules-32_binary64`
886×	`rules-33_binary64`
84×	`add-sqr-sqrt_binary64`
80×	`add-log-exp_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	23
1	213	23
2	2596	23

Stop Event

1×	node limit

Counts

3 → 126

Calls

Call 1

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

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (sqrt.f64 (/.f64 x (+.f64 x y))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (sqrt.f64 (/.f64 x (+.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (sqrt.f64 (/.f64 x (+.f64 x y))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (neg.f64 (sqrt.f64 (/.f64 x (+.f64 x y)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (sqrt.f64 (/.f64 x (+.f64 x y))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (/.f64 x (+.f64 x y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (/.f64 x (+.f64 x y))) (pow.f64 1 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (sqrt.f64 (/.f64 x (+.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (neg.f64 (sqrt.f64 (/.f64 x (+.f64 x y)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (/.f64 x (+.f64 x y))) (cbrt.f64 (sqrt.f64 (/.f64 x (+.f64 x y)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (sqrt.f64 (/.f64 x (+.f64 x y)))) (cbrt.f64 (/.f64 x (+.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (/.f64 x (+.f64 x y)) 1/4) (pow.f64 (/.f64 x (+.f64 x y)) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 x (+.f64 x y))) 2)) (sqrt.f64 (cbrt.f64 (/.f64 x (+.f64 x y)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (pow.f64 (cbrt.f64 (/.f64 x (+.f64 x y))) 2) 1/2) (pow.f64 (cbrt.f64 (/.f64 x (+.f64 x y))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (/.f64 x (+.f64 x y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (sqrt.f64 (/.f64 x (+.f64 x y)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (/.f64 x (+.f64 x y)) 3/2) (+.f64 (/.f64 x (+.f64 x y)) (+.f64 0 (.f64 (sqrt.f64 (/.f64 x (+.f64 x y))) 0))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (/.f64 x (+.f64 x y)) 3/2) (+.f64 (/.f64 x (+.f64 x y)) (-.f64 0 (.f64 (sqrt.f64 (/.f64 x (+.f64 x y))) 0))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 x (+.f64 x y)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 x (+.f64 x y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 x (+.f64 x y)) 3/2) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (sqrt.f64 (/.f64 x (+.f64 x y)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 x (+.f64 x y)) 1/4) 2)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (neg.f64 (sqrt.f64 (/.f64 x (+.f64 x y)))))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (sqrt.f64 (/.f64 x (+.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (sqrt.f64 (/.f64 x (+.f64 x y)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (/.f64 x (+.f64 x y))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 x (+.f64 x y)) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (sqrt.f64 (/.f64 x (+.f64 x y)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (/.f64 x (+.f64 x y))) 1 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (/.f64 x (+.f64 x y))) (cbrt.f64 (sqrt.f64 (/.f64 x (+.f64 x y)))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (/.f64 x (+.f64 x y)) 1/4) (pow.f64 (/.f64 x (+.f64 x y)) 1/4) 0)))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (sqrt.f64 (/.f64 x (+.f64 x y)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (sqrt.f64 (/.f64 x (+.f64 x y)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (/.f64 x (+.f64 x y))) 1/2))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 x (+.f64 x y)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 x (+.f64 x y)) (.f64 (sqrt.f64 (/.f64 x (+.f64 x y))) 0))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 x (+.f64 x y)) (/.f64 0 (+.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 x (+.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 x (+.f64 x y)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 x (+.f64 x y)) (/.f64 0 (+.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (/.f64 x (neg.f64 (+.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 x (+.f64 x y)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 x (/.f64 1 (+.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 x (+.f64 x y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (/.f64 x (+.f64 x y))) (sqrt.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 (/.f64 x (neg.f64 (+.f64 x y))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (neg.f64 (sqrt.f64 (/.f64 x (+.f64 x y)))) (neg.f64 (sqrt.f64 (/.f64 x (+.f64 x y)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (/.f64 x (+.f64 x y))) (pow.f64 (cbrt.f64 (/.f64 x (+.f64 x y))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (/.f64 x (+.f64 x y))) (.f64 (cbrt.f64 (sqrt.f64 (/.f64 x (+.f64 x y)))) (sqrt.f64 (/.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 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (sqrt.f64 (/.f64 x (+.f64 x y)))) (.f64 (sqrt.f64 (/.f64 x (+.f64 x y))) (cbrt.f64 (/.f64 x (+.f64 x y)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 x) (/.f64 (sqrt.f64 x) (+.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (/.f64 x (+.f64 x y)) 1/4) (.f64 (sqrt.f64 (/.f64 x (+.f64 x y))) (pow.f64 (/.f64 x (+.f64 x y)) 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (/.f64 x (+.f64 x y)) 1/4) (.f64 (pow.f64 (/.f64 x (+.f64 x y)) 1/4) (sqrt.f64 (/.f64 x (+.f64 x y)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (fma.f64 x x (-.f64 (.f64 y y) (.f64 x y))) (/.f64 x (+.f64 (pow.f64 x 3) (pow.f64 y 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.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 (sqrt.f64 (/.f64 x (+.f64 x y))) (/.f64 1 (sqrt.f64 (/.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 (/.f64 x (neg.f64 (+.f64 x y))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 x) (neg.f64 (+.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (/.f64 x (+.f64 x y)) 3) (+.f64 (pow.f64 (/.f64 x (+.f64 x y)) 2) (+.f64 0 (.f64 (/.f64 x (+.f64 x y)) 0))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (/.f64 x (+.f64 x y)) 3) (+.f64 (pow.f64 (/.f64 x (+.f64 x y)) 2) (-.f64 0 (.f64 (/.f64 x (+.f64 x y)) 0))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 x) (/.f64 (sqrt.f64 (+.f64 x y)) (sqrt.f64 (/.f64 x (+.f64 x y)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 x x (-.f64 (.f64 y y) (.f64 x y))) (/.f64 (+.f64 (pow.f64 x 3) (pow.f64 y 3)) x))))) (#(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 x (sqrt.f64 (+.f64 x y))) (sqrt.f64 (+.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (sqrt.f64 (/.f64 x (+.f64 x y))) (sqrt.f64 x)) (sqrt.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 (/.f64 x (+.f64 x y)) 3/2) (pow.f64 (/.f64 x (+.f64 x y)) 3/2)))))) (#(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 fma.f64 (/.f64 x (+.f64 x y)) 1 0)))) (#(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 (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 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 +.f64 (/.f64 x (+.f64 x y)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 x (+.f64 x y)) (.f64 (sqrt.f64 (/.f64 x (+.f64 x y))) 0))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 x (+.f64 x y)) (/.f64 0 (+.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 x (+.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 x (+.f64 x y)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 x (+.f64 x y)) (/.f64 0 (+.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (/.f64 x (neg.f64 (+.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 x (+.f64 x y)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 x (/.f64 1 (+.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 x (+.f64 x y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (/.f64 x (+.f64 x y))) (sqrt.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 (/.f64 x (neg.f64 (+.f64 x y))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (neg.f64 (sqrt.f64 (/.f64 x (+.f64 x y)))) (neg.f64 (sqrt.f64 (/.f64 x (+.f64 x y)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (/.f64 x (+.f64 x y))) (pow.f64 (cbrt.f64 (/.f64 x (+.f64 x y))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (/.f64 x (+.f64 x y))) (.f64 (cbrt.f64 (sqrt.f64 (/.f64 x (+.f64 x y)))) (sqrt.f64 (/.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 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (sqrt.f64 (/.f64 x (+.f64 x y)))) (.f64 (sqrt.f64 (/.f64 x (+.f64 x y))) (cbrt.f64 (/.f64 x (+.f64 x y)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 x) (/.f64 (sqrt.f64 x) (+.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (/.f64 x (+.f64 x y)) 1/4) (.f64 (sqrt.f64 (/.f64 x (+.f64 x y))) (pow.f64 (/.f64 x (+.f64 x y)) 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (/.f64 x (+.f64 x y)) 1/4) (.f64 (pow.f64 (/.f64 x (+.f64 x y)) 1/4) (sqrt.f64 (/.f64 x (+.f64 x y)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (fma.f64 x x (-.f64 (.f64 y y) (.f64 x y))) (/.f64 x (+.f64 (pow.f64 x 3) (pow.f64 y 3))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 x (+.f64 x y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 x (+.f64 x y))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (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 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 (/.f64 x (+.f64 x y)) 3/2) (pow.f64 (/.f64 x (+.f64 x y)) 3/2)))))) (#(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 fma.f64 (/.f64 x (+.f64 x y)) 1 0)))) (#(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 (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 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

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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 (/.f64 x (+.f64 x y)) 3/2) (pow.f64 (/.f64 x (+.f64 x y)) 3/2)))))) (#(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 fma.f64 (/.f64 x (+.f64 x y)) 1 0)))) (#(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 (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 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 +.f64 (/.f64 x (+.f64 x y)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 x (+.f64 x y)) (*.f64 (sqrt.f64 (/.f64 x (+.f64 x y))) 0))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 x (+.f64 x y)) (/.f64 0 (+.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 x (+.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 x (+.f64 x y)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 x (+.f64 x y)) (/.f64 0 (+.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (/.f64 x (neg.f64 (+.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 x (+.f64 x y)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (/.f64 1 (+.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x (+.f64 x y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 x (+.f64 x y))) (sqrt.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 (/.f64 x (neg.f64 (+.f64 x y))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (sqrt.f64 (/.f64 x (+.f64 x y)))) (neg.f64 (sqrt.f64 (/.f64 x (+.f64 x y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 x (+.f64 x y))) (pow.f64 (cbrt.f64 (/.f64 x (+.f64 x y))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 x (+.f64 x y))) (*.f64 (cbrt.f64 (sqrt.f64 (/.f64 x (+.f64 x y)))) (sqrt.f64 (/.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 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (sqrt.f64 (/.f64 x (+.f64 x y)))) (*.f64 (sqrt.f64 (/.f64 x (+.f64 x y))) (cbrt.f64 (/.f64 x (+.f64 x y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 x) (/.f64 (sqrt.f64 x) (+.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 x (+.f64 x y)) 1/4) (*.f64 (sqrt.f64 (/.f64 x (+.f64 x y))) (pow.f64 (/.f64 x (+.f64 x y)) 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 x (+.f64 x y)) 1/4) (*.f64 (pow.f64 (/.f64 x (+.f64 x y)) 1/4) (sqrt.f64 (/.f64 x (+.f64 x y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 x x (-.f64 (*.f64 y y) (*.f64 x y))) (/.f64 x (+.f64 (pow.f64 x 3) (pow.f64 y 3))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 x (+.f64 x y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 x (+.f64 x y))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (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 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 (/.f64 x (+.f64 x y)) 3/2) (pow.f64 (/.f64 x (+.f64 x y)) 3/2)))))) (#(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 fma.f64 (/.f64 x (+.f64 x y)) 1 0)))) (#(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 (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 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))))))))

simplify30.0ms (2.6%)

Algorithm

1×	egg-herbie

Rules

463×	`rules-9_binary64`
459×	`rules-7_binary64`
204×	`rules-14_binary64`
178×	`rules-17_binary64`
164×	`rules-11_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	41	822
1	130	822
2	454	747
3	1480	726

Stop Event

1×	node limit

Counts

174 → 109

Calls

Call 1

Inputs
1
(-.f64 1 (*.f64 1/2 (/.f64 y x)))
(-.f64 (+.f64 (.f64 3/8 (/.f64 (pow.f64 y 2) (pow.f64 x 2))) 1) (.f64 1/2 (/.f64 y x)))
(-.f64 (+.f64 (.f64 3/8 (/.f64 (pow.f64 y 2) (pow.f64 x 2))) 1) (+.f64 (.f64 1/2 (/.f64 y x)) (*.f64 5/16 (/.f64 (pow.f64 y 3) (pow.f64 x 3)))))
1
(-.f64 1 (*.f64 1/2 (/.f64 y x)))
(-.f64 (+.f64 (.f64 3/8 (/.f64 (pow.f64 y 2) (pow.f64 x 2))) 1) (.f64 1/2 (/.f64 y x)))
(-.f64 (+.f64 (.f64 3/8 (/.f64 (pow.f64 y 2) (pow.f64 x 2))) 1) (+.f64 (.f64 1/2 (/.f64 y x)) (*.f64 5/16 (/.f64 (pow.f64 y 3) (pow.f64 x 3)))))
1
(-.f64 1 (*.f64 1/2 (/.f64 y x)))
(-.f64 (+.f64 (.f64 3/8 (/.f64 (pow.f64 y 2) (pow.f64 x 2))) 1) (.f64 1/2 (/.f64 y x)))
(-.f64 (+.f64 (.f64 3/8 (/.f64 (pow.f64 y 2) (pow.f64 x 2))) 1) (+.f64 (.f64 1/2 (/.f64 y x)) (*.f64 5/16 (/.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))))
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 1/2 (/.f64 y x)))
(+.f64 1 (*.f64 (/.f64 y x) -1/2))
(fma.f64 (/.f64 y x) -1/2 1)
(-.f64 (+.f64 (.f64 3/8 (/.f64 (pow.f64 y 2) (pow.f64 x 2))) 1) (.f64 1/2 (/.f64 y x)))
(-.f64 (fma.f64 3/8 (/.f64 (.f64 y y) (.f64 x x)) 1) (*.f64 1/2 (/.f64 y x)))
(+.f64 (fma.f64 3/8 (.f64 y (/.f64 y (.f64 x x))) 1) (*.f64 (/.f64 y x) -1/2))
(fma.f64 y (/.f64 y (/.f64 x (/.f64 3/8 x))) (fma.f64 (/.f64 y x) -1/2 1))
(fma.f64 y (.f64 y (/.f64 3/8 (.f64 x x))) (fma.f64 (/.f64 y x) -1/2 1))
(-.f64 (+.f64 (.f64 3/8 (/.f64 (pow.f64 y 2) (pow.f64 x 2))) 1) (+.f64 (.f64 1/2 (/.f64 y x)) (*.f64 5/16 (/.f64 (pow.f64 y 3) (pow.f64 x 3)))))
(-.f64 (fma.f64 3/8 (/.f64 (.f64 y y) (.f64 x x)) 1) (fma.f64 1/2 (/.f64 y x) (*.f64 5/16 (/.f64 (pow.f64 y 3) (pow.f64 x 3)))))
(-.f64 (fma.f64 3/8 (.f64 y (/.f64 y (.f64 x x))) 1) (fma.f64 5/16 (/.f64 (pow.f64 y 3) (pow.f64 x 3)) (*.f64 1/2 (/.f64 y x))))
(+.f64 (fma.f64 y (/.f64 y (/.f64 x (/.f64 3/8 x))) (fma.f64 (/.f64 y x) -1/2 1)) (*.f64 (/.f64 (pow.f64 y 3) (pow.f64 x 3)) -5/16))
(+.f64 (/.f64 (-.f64 (.f64 y (.f64 y 3/8)) (.f64 5/16 (/.f64 (pow.f64 y 3) x))) (.f64 x x)) (fma.f64 (/.f64 y x) -1/2 1))
1
(-.f64 1 (*.f64 1/2 (/.f64 y x)))
(+.f64 1 (*.f64 (/.f64 y x) -1/2))
(fma.f64 (/.f64 y x) -1/2 1)
(-.f64 (+.f64 (.f64 3/8 (/.f64 (pow.f64 y 2) (pow.f64 x 2))) 1) (.f64 1/2 (/.f64 y x)))
(-.f64 (fma.f64 3/8 (/.f64 (.f64 y y) (.f64 x x)) 1) (*.f64 1/2 (/.f64 y x)))
(+.f64 (fma.f64 3/8 (.f64 y (/.f64 y (.f64 x x))) 1) (*.f64 (/.f64 y x) -1/2))
(fma.f64 y (/.f64 y (/.f64 x (/.f64 3/8 x))) (fma.f64 (/.f64 y x) -1/2 1))
(fma.f64 y (.f64 y (/.f64 3/8 (.f64 x x))) (fma.f64 (/.f64 y x) -1/2 1))
(-.f64 (+.f64 (.f64 3/8 (/.f64 (pow.f64 y 2) (pow.f64 x 2))) 1) (+.f64 (.f64 1/2 (/.f64 y x)) (*.f64 5/16 (/.f64 (pow.f64 y 3) (pow.f64 x 3)))))
(-.f64 (fma.f64 3/8 (/.f64 (.f64 y y) (.f64 x x)) 1) (fma.f64 1/2 (/.f64 y x) (*.f64 5/16 (/.f64 (pow.f64 y 3) (pow.f64 x 3)))))
(-.f64 (fma.f64 3/8 (.f64 y (/.f64 y (.f64 x x))) 1) (fma.f64 5/16 (/.f64 (pow.f64 y 3) (pow.f64 x 3)) (*.f64 1/2 (/.f64 y x))))
(+.f64 (fma.f64 y (/.f64 y (/.f64 x (/.f64 3/8 x))) (fma.f64 (/.f64 y x) -1/2 1)) (*.f64 (/.f64 (pow.f64 y 3) (pow.f64 x 3)) -5/16))
(+.f64 (/.f64 (-.f64 (.f64 y (.f64 y 3/8)) (.f64 5/16 (/.f64 (pow.f64 y 3) x))) (.f64 x x)) (fma.f64 (/.f64 y x) -1/2 1))
1
(-.f64 1 (*.f64 1/2 (/.f64 y x)))
(+.f64 1 (*.f64 (/.f64 y x) -1/2))
(fma.f64 (/.f64 y x) -1/2 1)
(-.f64 (+.f64 (.f64 3/8 (/.f64 (pow.f64 y 2) (pow.f64 x 2))) 1) (.f64 1/2 (/.f64 y x)))
(-.f64 (fma.f64 3/8 (/.f64 (.f64 y y) (.f64 x x)) 1) (*.f64 1/2 (/.f64 y x)))
(+.f64 (fma.f64 3/8 (.f64 y (/.f64 y (.f64 x x))) 1) (*.f64 (/.f64 y x) -1/2))
(fma.f64 y (/.f64 y (/.f64 x (/.f64 3/8 x))) (fma.f64 (/.f64 y x) -1/2 1))
(fma.f64 y (.f64 y (/.f64 3/8 (.f64 x x))) (fma.f64 (/.f64 y x) -1/2 1))
(-.f64 (+.f64 (.f64 3/8 (/.f64 (pow.f64 y 2) (pow.f64 x 2))) 1) (+.f64 (.f64 1/2 (/.f64 y x)) (*.f64 5/16 (/.f64 (pow.f64 y 3) (pow.f64 x 3)))))
(-.f64 (fma.f64 3/8 (/.f64 (.f64 y y) (.f64 x x)) 1) (fma.f64 1/2 (/.f64 y x) (*.f64 5/16 (/.f64 (pow.f64 y 3) (pow.f64 x 3)))))
(-.f64 (fma.f64 3/8 (.f64 y (/.f64 y (.f64 x x))) 1) (fma.f64 5/16 (/.f64 (pow.f64 y 3) (pow.f64 x 3)) (*.f64 1/2 (/.f64 y x))))
(+.f64 (fma.f64 y (/.f64 y (/.f64 x (/.f64 3/8 x))) (fma.f64 (/.f64 y x) -1/2 1)) (*.f64 (/.f64 (pow.f64 y 3) (pow.f64 x 3)) -5/16))
(+.f64 (/.f64 (-.f64 (.f64 y (.f64 y 3/8)) (.f64 5/16 (/.f64 (pow.f64 y 3) x))) (.f64 x x)) (fma.f64 (/.f64 y x) -1/2 1))
1
(-.f64 1 (/.f64 y x))
(-.f64 (+.f64 (/.f64 (pow.f64 y 2) (pow.f64 x 2)) 1) (/.f64 y x))
(-.f64 (+.f64 1 (/.f64 (.f64 y y) (.f64 x x))) (/.f64 y x))
(-.f64 (.f64 y (/.f64 y (.f64 x x))) (+.f64 -1 (/.f64 y x)))
(-.f64 1 (/.f64 (-.f64 y (*.f64 y (/.f64 y x))) 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 (+.f64 1 (/.f64 (.f64 y y) (.f64 x x))) (+.f64 (/.f64 y x) (/.f64 (pow.f64 y 3) (pow.f64 x 3))))
(-.f64 (-.f64 (.f64 y (/.f64 y (.f64 x x))) (+.f64 -1 (/.f64 y x))) (/.f64 (pow.f64 y 3) (pow.f64 x 3)))
(-.f64 (-.f64 1 (/.f64 (-.f64 y (*.f64 y (/.f64 y x))) 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 1 (/.f64 (.f64 y y) (.f64 x x))) (/.f64 y x))
(-.f64 (.f64 y (/.f64 y (.f64 x x))) (+.f64 -1 (/.f64 y x)))
(-.f64 1 (/.f64 (-.f64 y (*.f64 y (/.f64 y x))) 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 (+.f64 1 (/.f64 (.f64 y y) (.f64 x x))) (+.f64 (/.f64 y x) (/.f64 (pow.f64 y 3) (pow.f64 x 3))))
(-.f64 (-.f64 (.f64 y (/.f64 y (.f64 x x))) (+.f64 -1 (/.f64 y x))) (/.f64 (pow.f64 y 3) (pow.f64 x 3)))
(-.f64 (-.f64 1 (/.f64 (-.f64 y (*.f64 y (/.f64 y x))) 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 1 (/.f64 (.f64 y y) (.f64 x x))) (/.f64 y x))
(-.f64 (.f64 y (/.f64 y (.f64 x x))) (+.f64 -1 (/.f64 y x)))
(-.f64 1 (/.f64 (-.f64 y (*.f64 y (/.f64 y x))) 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 (+.f64 1 (/.f64 (.f64 y y) (.f64 x x))) (+.f64 (/.f64 y x) (/.f64 (pow.f64 y 3) (pow.f64 x 3))))
(-.f64 (-.f64 (.f64 y (/.f64 y (.f64 x x))) (+.f64 -1 (/.f64 y x))) (/.f64 (pow.f64 y 3) (pow.f64 x 3)))
(-.f64 (-.f64 1 (/.f64 (-.f64 y (*.f64 y (/.f64 y x))) 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 x y) (/.f64 (.f64 x x) (.f64 y y)))
(/.f64 (-.f64 x (*.f64 x (/.f64 x 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 (/.f64 x y) (/.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 (*.f64 x (/.f64 x y))) y))
(/.f64 (-.f64 x (/.f64 (-.f64 (*.f64 x x) (/.f64 (pow.f64 x 3) y)) y)) 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 (/.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 (/.f64 (pow.f64 x 3) (pow.f64 y 3)) (/.f64 (-.f64 x (*.f64 x (/.f64 x y))) y)) (/.f64 (pow.f64 x 4) (pow.f64 y 4)))
(-.f64 (/.f64 (-.f64 x (/.f64 (-.f64 (*.f64 x x) (/.f64 (pow.f64 x 3) y)) y)) 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 1 (/.f64 (.f64 y y) (.f64 x x))) (/.f64 y x))
(-.f64 (.f64 y (/.f64 y (.f64 x x))) (+.f64 -1 (/.f64 y x)))
(-.f64 1 (/.f64 (-.f64 y (*.f64 y (/.f64 y x))) 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 (+.f64 1 (/.f64 (.f64 y y) (.f64 x x))) (+.f64 (/.f64 y x) (/.f64 (pow.f64 y 3) (pow.f64 x 3))))
(-.f64 (-.f64 (.f64 y (/.f64 y (.f64 x x))) (+.f64 -1 (/.f64 y x))) (/.f64 (pow.f64 y 3) (pow.f64 x 3)))
(-.f64 (-.f64 1 (/.f64 (-.f64 y (*.f64 y (/.f64 y x))) 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 1 (/.f64 (.f64 y y) (.f64 x x))) (/.f64 y x))
(-.f64 (.f64 y (/.f64 y (.f64 x x))) (+.f64 -1 (/.f64 y x)))
(-.f64 1 (/.f64 (-.f64 y (*.f64 y (/.f64 y x))) 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 (+.f64 1 (/.f64 (.f64 y y) (.f64 x x))) (+.f64 (/.f64 y x) (/.f64 (pow.f64 y 3) (pow.f64 x 3))))
(-.f64 (-.f64 (.f64 y (/.f64 y (.f64 x x))) (+.f64 -1 (/.f64 y x))) (/.f64 (pow.f64 y 3) (pow.f64 x 3)))
(-.f64 (-.f64 1 (/.f64 (-.f64 y (*.f64 y (/.f64 y x))) 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 1 (/.f64 (.f64 y y) (.f64 x x))) (/.f64 y x))
(-.f64 (.f64 y (/.f64 y (.f64 x x))) (+.f64 -1 (/.f64 y x)))
(-.f64 1 (/.f64 (-.f64 y (*.f64 y (/.f64 y x))) 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 (+.f64 1 (/.f64 (.f64 y y) (.f64 x x))) (+.f64 (/.f64 y x) (/.f64 (pow.f64 y 3) (pow.f64 x 3))))
(-.f64 (-.f64 (.f64 y (/.f64 y (.f64 x x))) (+.f64 -1 (/.f64 y x))) (/.f64 (pow.f64 y 3) (pow.f64 x 3)))
(-.f64 (-.f64 1 (/.f64 (-.f64 y (*.f64 y (/.f64 y x))) 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 x y) (/.f64 (.f64 x x) (.f64 y y)))
(/.f64 (-.f64 x (*.f64 x (/.f64 x 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 (/.f64 x y) (/.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 (*.f64 x (/.f64 x y))) y))
(/.f64 (-.f64 x (/.f64 (-.f64 (*.f64 x x) (/.f64 (pow.f64 x 3) y)) y)) 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 (/.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 (/.f64 (pow.f64 x 3) (pow.f64 y 3)) (/.f64 (-.f64 x (*.f64 x (/.f64 x y))) y)) (/.f64 (pow.f64 x 4) (pow.f64 y 4)))
(-.f64 (/.f64 (-.f64 x (/.f64 (-.f64 (*.f64 x x) (/.f64 (pow.f64 x 3) y)) y)) 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 (*.f64 x (/.f64 x 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 (/.f64 x y) (/.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 (*.f64 x (/.f64 x y))) y))
(/.f64 (-.f64 x (/.f64 (-.f64 (*.f64 x x) (/.f64 (pow.f64 x 3) y)) y)) 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 (/.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 (/.f64 (pow.f64 x 3) (pow.f64 y 3)) (/.f64 (-.f64 x (*.f64 x (/.f64 x y))) y)) (/.f64 (pow.f64 x 4) (pow.f64 y 4)))
(-.f64 (/.f64 (-.f64 x (/.f64 (-.f64 (*.f64 x x) (/.f64 (pow.f64 x 3) y)) y)) y) (/.f64 (pow.f64 x 4) (pow.f64 y 4)))

prune82.0ms (7%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	109	0	109
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	109	3	112

Error

Counts

112 → 3

Alt Table

Status	Error	Program
✓	12.8b	(pow.f64 (sqrt.f64 (/.f64 x (+.f64 x y))) 2)
▶	29.1b	(-.f64 1 (/.f64 y x))
✓	0.0b	(/.f64 x (+.f64 y x))

Compiler

Compiled 1436 to 594 computations (58.6% saved)

localize3.0ms (0.3%)

prune1.0ms (0.1%)

Pruning

3 alts after pruning (0 fresh and 3 done)

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

Error

Counts

3 → 3

Alt Table

Status	Error	Program
✓	12.8b	(pow.f64 (sqrt.f64 (/.f64 x (+.f64 x y))) 2)
✓	29.1b	(-.f64 1 (/.f64 y x))
✓	0.0b	(/.f64 x (+.f64 y x))

Compiler

Compiled 24 to 16 computations (33.3% saved)

regimes23.0ms (2%)

Accuracy

Total 0.0b remaining (44.2%)

Threshold costs 0.0b (44.2%)

Counts

7 → 1

Compiler

Compiled 170 to 115 computations (32.4% saved)

simplify1.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	7

Stop Event

1×

saturated

Calls

Call 1

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

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

end45.0ms (3.8%)

Stop Event

1×

done

Compiler

Compiled 38 to 24 computations (36.8% saved)

Details

analyze60.0ms (5.1%)

sample661.0ms (56.3%)

preprocess28.0ms (2.4%)

simplify6.0ms (0.5%)

prune1.0ms (0.1%)

localize3.0ms (0.3%)

series6.0ms (0.5%)

rewrite60.0ms (5.1%)

simplify35.0ms (3%)

prune25.0ms (2.1%)

localize5.0ms (0.4%)

series52.0ms (4.5%)

rewrite46.0ms (3.9%)

simplify30.0ms (2.6%)

prune82.0ms (7%)

localize3.0ms (0.3%)

prune1.0ms (0.1%)

regimes23.0ms (2%)

simplify1.0ms (0.1%)

end45.0ms (3.8%)

Profiling