Details

analyze47.0ms (2.7%)

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	99.9%	0.1%	0%	0%	0%	0
0%	0%	99.9%	0.1%	0%	0%	0%	1
0%	0%	99.9%	0.1%	0%	0%	0%	2
0%	0%	99.9%	0.1%	0%	0%	0%	3
0%	0%	87.4%	0.1%	0%	12.5%	0%	4
7.7%	6.2%	74.9%	0.1%	0%	18.7%	0%	5
17.4%	12.5%	59.3%	0.1%	0%	28.1%	0%	6
34.9%	23.4%	43.7%	0.1%	0%	32.8%	0%	7
45.6%	28.1%	33.6%	0.1%	0%	38.2%	0%	8
60.3%	35.5%	23.4%	0.1%	0%	41%	0%	9
68.3%	38.2%	17.8%	0.1%	0%	43.9%	0%	10
77.8%	42.4%	12.1%	0.1%	0%	45.4%	0%	11
82.8%	43.9%	9.1%	0.1%	0%	46.9%	0%	12

Compiler

Compiled 7 to 5 computations (28.6% saved)

sample714.0ms (41.2%)

Results

661.0ms	8256×	body	256	valid
42.0ms	497×	body	256	invalid

Bogosity

preprocess15.0ms (0.9%)

Algorithm

2×	egg-herbie

Rules

2×	`swap-x-y`
2×	`+-commutative`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	22
1	9	22
0	2	2
1	2	2

Stop Event

1×	unsound
1×	saturated

Calls

Call 1

Inputs
0
1

Outputs
0
1
0

Call 2

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

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

Symmetry

(sort x y)

Compiler

Compiled 8 to 6 computations (25% saved)

simplify12.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

2×	`+-commutative`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	11
1	8	11

Stop Event

1×

saturated

Counts

1 → 1

Calls

Call 1

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

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

eval0.0ms (0%)

Compiler: Compiled 6 to 4 computations (33.3% saved)

prune1.0ms (0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

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

Error

0.0b

Counts

2 → 1

Alt Table

Click to see full alt table

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

Compiler

Compiled 6 to 4 computations (33.3% saved)

localize7.0ms (0.4%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 11 to 4 computations (63.6% saved)

series2.0ms (0.1%)

Counts

1 → 8

Calls

6 calls:

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

rewrite52.0ms (3%)

Algorithm

1×	batch-egg-rewrite

Rules

1552×	`add-sqr-sqrt`
1534×	`*-un-lft-identity`
1432×	`add-cube-cbrt`
1418×	`add-cbrt-cube`
1406×	`add-exp-log`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	11
1	146	11
2	1914	11

Stop Event

1×	node limit

Counts

1 → 26

Calls

Call 1

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

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

Outputs

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

simplify60.0ms (3.5%)

Algorithm

1×	egg-herbie

Rules

1712×	`fma-def`
1462×	`unswap-sqr`
948×	`*-commutative`
730×	`distribute-lft-in`
634×	`associate-+r+`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	115	1096
1	257	960
2	688	844
3	1874	804
4	4371	804

Stop Event

1×	node limit

Counts

34 → 72

Calls

Call 1

Inputs
(sqrt.f64 y)
(+.f64 (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 y)) x)) (sqrt.f64 y))
(+.f64 (.f64 -1/8 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 y 3))) (pow.f64 x 2))) (+.f64 (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 y)) x)) (sqrt.f64 y)))
(+.f64 (.f64 -1/8 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 y 3))) (pow.f64 x 2))) (+.f64 (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 y)) x)) (+.f64 (.f64 1/16 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 y 5))) (pow.f64 x 3))) (sqrt.f64 y))))
(sqrt.f64 x)
(+.f64 (sqrt.f64 x) (.f64 1/2 (.f64 y (sqrt.f64 (/.f64 1 x)))))
(+.f64 (.f64 -1/8 (.f64 (pow.f64 y 2) (sqrt.f64 (/.f64 1 (pow.f64 x 3))))) (+.f64 (sqrt.f64 x) (.f64 1/2 (.f64 y (sqrt.f64 (/.f64 1 x))))))
(+.f64 (.f64 -1/8 (.f64 (pow.f64 y 2) (sqrt.f64 (/.f64 1 (pow.f64 x 3))))) (+.f64 (.f64 1/16 (.f64 (pow.f64 y 3) (sqrt.f64 (/.f64 1 (pow.f64 x 5))))) (+.f64 (sqrt.f64 x) (.f64 1/2 (.f64 y (sqrt.f64 (/.f64 1 x)))))))
(-.f64 (+.f64 1 (sqrt.f64 (+.f64 x y))) 1)
(*.f64 (sqrt.f64 (+.f64 x y)) 1)
(*.f64 1 (sqrt.f64 (+.f64 x y)))
(*.f64 (pow.f64 (+.f64 x y) 1/4) (pow.f64 (+.f64 x y) 1/4))
(*.f64 (cbrt.f64 (+.f64 x y)) (cbrt.f64 (sqrt.f64 (+.f64 x y))))
(*.f64 (cbrt.f64 (sqrt.f64 (+.f64 x y))) (cbrt.f64 (+.f64 x y)))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 x y)) 2)) (sqrt.f64 (cbrt.f64 (+.f64 x y))))
(*.f64 (pow.f64 1 1/2) (sqrt.f64 (+.f64 x y)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 x y)) 2) 1/2) (pow.f64 (cbrt.f64 (+.f64 x y)) 1/2))
(/.f64 (sqrt.f64 (+.f64 (pow.f64 x 3) (pow.f64 y 3))) (sqrt.f64 (fma.f64 x x (*.f64 y (-.f64 y x)))))
(/.f64 (sqrt.f64 (-.f64 (.f64 x x) (.f64 y y))) (sqrt.f64 (-.f64 x y)))
(pow.f64 (+.f64 x y) 1/2)
(pow.f64 (sqrt.f64 (+.f64 x y)) 1)
(pow.f64 (pow.f64 (+.f64 x y) 1/4) 2)
(pow.f64 (cbrt.f64 (sqrt.f64 (+.f64 x y))) 3)
(pow.f64 (pow.f64 (+.f64 x y) 3/2) 1/3)
(fabs.f64 (sqrt.f64 (+.f64 x y)))
(log.f64 (exp.f64 (sqrt.f64 (+.f64 x y))))
(cbrt.f64 (pow.f64 (+.f64 x y) 3/2))
(expm1.f64 (log1p.f64 (sqrt.f64 (+.f64 x y))))
(hypot.f64 (sqrt.f64 y) (sqrt.f64 x))
(hypot.f64 (sqrt.f64 x) (sqrt.f64 y))
(exp.f64 (log.f64 (sqrt.f64 (+.f64 x y))))
(exp.f64 (*.f64 (log.f64 (+.f64 x y)) 1/2))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 x y))) 1))
(log1p.f64 (expm1.f64 (sqrt.f64 (+.f64 x y))))

Outputs
(sqrt.f64 y)
(+.f64 (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 y)) x)) (sqrt.f64 y))
(fma.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 y)) x) (sqrt.f64 y))
(fma.f64 (sqrt.f64 (/.f64 1 y)) (*.f64 1/2 x) (sqrt.f64 y))
(+.f64 (.f64 -1/8 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 y 3))) (pow.f64 x 2))) (+.f64 (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 y)) x)) (sqrt.f64 y)))
(fma.f64 -1/8 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 y 3))) (.f64 x x)) (fma.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 y)) x) (sqrt.f64 y)))
(fma.f64 -1/8 (.f64 x (.f64 x (sqrt.f64 (/.f64 1 (pow.f64 y 3))))) (fma.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 y)) x) (sqrt.f64 y)))
(fma.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 y)) x) (fma.f64 (sqrt.f64 (/.f64 1 (pow.f64 y 3))) (.f64 x (*.f64 x -1/8)) (sqrt.f64 y)))
(fma.f64 x (fma.f64 1/2 (sqrt.f64 (/.f64 1 y)) (.f64 -1/8 (.f64 x (sqrt.f64 (/.f64 1 (pow.f64 y 3)))))) (sqrt.f64 y))
(fma.f64 x (fma.f64 1/2 (sqrt.f64 (/.f64 1 y)) (.f64 (sqrt.f64 (/.f64 1 (pow.f64 y 3))) (.f64 x -1/8))) (sqrt.f64 y))
(+.f64 (.f64 -1/8 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 y 3))) (pow.f64 x 2))) (+.f64 (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 y)) x)) (+.f64 (.f64 1/16 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 y 5))) (pow.f64 x 3))) (sqrt.f64 y))))
(fma.f64 -1/8 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 y 3))) (.f64 x x)) (fma.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 y)) x) (fma.f64 1/16 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 y 5))) (pow.f64 x 3)) (sqrt.f64 y))))
(fma.f64 -1/8 (.f64 x (.f64 x (sqrt.f64 (/.f64 1 (pow.f64 y 3))))) (fma.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 y)) x) (fma.f64 1/16 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 y 5))) (pow.f64 x 3)) (sqrt.f64 y))))
(fma.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 y)) x) (fma.f64 -1/8 (.f64 x (.f64 x (sqrt.f64 (/.f64 1 (pow.f64 y 3))))) (fma.f64 1/16 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 y 5))) (pow.f64 x 3)) (sqrt.f64 y))))
(fma.f64 x (fma.f64 1/2 (sqrt.f64 (/.f64 1 y)) (.f64 -1/8 (.f64 x (sqrt.f64 (/.f64 1 (pow.f64 y 3)))))) (fma.f64 (sqrt.f64 (/.f64 1 (pow.f64 y 5))) (*.f64 1/16 (pow.f64 x 3)) (sqrt.f64 y)))
(fma.f64 x (fma.f64 1/2 (sqrt.f64 (/.f64 1 y)) (.f64 (sqrt.f64 (/.f64 1 (pow.f64 y 3))) (.f64 x -1/8))) (fma.f64 1/16 (*.f64 (sqrt.f64 (/.f64 1 (pow.f64 y 5))) (pow.f64 x 3)) (sqrt.f64 y)))
(sqrt.f64 x)
(+.f64 (sqrt.f64 x) (.f64 1/2 (.f64 y (sqrt.f64 (/.f64 1 x)))))
(+.f64 (sqrt.f64 x) (.f64 (.f64 1/2 y) (sqrt.f64 (/.f64 1 x))))
(fma.f64 1/2 (*.f64 y (sqrt.f64 (/.f64 1 x))) (sqrt.f64 x))
(fma.f64 y (*.f64 1/2 (sqrt.f64 (/.f64 1 x))) (sqrt.f64 x))
(+.f64 (.f64 -1/8 (.f64 (pow.f64 y 2) (sqrt.f64 (/.f64 1 (pow.f64 x 3))))) (+.f64 (sqrt.f64 x) (.f64 1/2 (.f64 y (sqrt.f64 (/.f64 1 x))))))
(fma.f64 -1/8 (.f64 (.f64 y y) (sqrt.f64 (/.f64 1 (pow.f64 x 3)))) (+.f64 (sqrt.f64 x) (.f64 (.f64 1/2 y) (sqrt.f64 (/.f64 1 x)))))
(fma.f64 -1/8 (.f64 y (.f64 y (sqrt.f64 (/.f64 1 (pow.f64 x 3))))) (fma.f64 1/2 (*.f64 y (sqrt.f64 (/.f64 1 x))) (sqrt.f64 x)))
(fma.f64 y (.f64 1/2 (sqrt.f64 (/.f64 1 x))) (fma.f64 -1/8 (.f64 (*.f64 y y) (sqrt.f64 (/.f64 1 (pow.f64 x 3)))) (sqrt.f64 x)))
(fma.f64 y (.f64 1/2 (sqrt.f64 (/.f64 1 x))) (fma.f64 (sqrt.f64 (/.f64 1 (pow.f64 x 3))) (.f64 y (*.f64 y -1/8)) (sqrt.f64 x)))
(+.f64 (.f64 -1/8 (.f64 (pow.f64 y 2) (sqrt.f64 (/.f64 1 (pow.f64 x 3))))) (+.f64 (.f64 1/16 (.f64 (pow.f64 y 3) (sqrt.f64 (/.f64 1 (pow.f64 x 5))))) (+.f64 (sqrt.f64 x) (.f64 1/2 (.f64 y (sqrt.f64 (/.f64 1 x)))))))
(fma.f64 -1/8 (.f64 (.f64 y y) (sqrt.f64 (/.f64 1 (pow.f64 x 3)))) (fma.f64 1/16 (.f64 (pow.f64 y 3) (sqrt.f64 (/.f64 1 (pow.f64 x 5)))) (+.f64 (sqrt.f64 x) (.f64 (*.f64 1/2 y) (sqrt.f64 (/.f64 1 x))))))
(fma.f64 -1/8 (.f64 y (.f64 y (sqrt.f64 (/.f64 1 (pow.f64 x 3))))) (fma.f64 1/16 (.f64 (pow.f64 y 3) (sqrt.f64 (/.f64 1 (pow.f64 x 5)))) (fma.f64 1/2 (.f64 y (sqrt.f64 (/.f64 1 x))) (sqrt.f64 x))))
(fma.f64 (pow.f64 y 3) (.f64 1/16 (sqrt.f64 (/.f64 1 (pow.f64 x 5)))) (fma.f64 y (.f64 1/2 (sqrt.f64 (/.f64 1 x))) (fma.f64 -1/8 (.f64 (.f64 y y) (sqrt.f64 (/.f64 1 (pow.f64 x 3)))) (sqrt.f64 x))))
(fma.f64 y (.f64 1/2 (sqrt.f64 (/.f64 1 x))) (fma.f64 (sqrt.f64 (/.f64 1 (pow.f64 x 5))) (.f64 (pow.f64 y 3) 1/16) (fma.f64 -1/8 (.f64 (.f64 y y) (sqrt.f64 (/.f64 1 (pow.f64 x 3)))) (sqrt.f64 x))))
(fma.f64 y (.f64 1/2 (sqrt.f64 (/.f64 1 x))) (fma.f64 -1/8 (.f64 (.f64 y y) (sqrt.f64 (/.f64 1 (pow.f64 x 3)))) (fma.f64 (sqrt.f64 (/.f64 1 (pow.f64 x 5))) (.f64 (pow.f64 y 3) 1/16) (sqrt.f64 x))))
(-.f64 (+.f64 1 (sqrt.f64 (+.f64 x y))) 1)
(+.f64 1 (-.f64 (sqrt.f64 (+.f64 y x)) 1))
(+.f64 (sqrt.f64 (+.f64 y x)) 0)
(sqrt.f64 (+.f64 y x))
(*.f64 (sqrt.f64 (+.f64 x y)) 1)
(+.f64 1 (-.f64 (sqrt.f64 (+.f64 y x)) 1))
(+.f64 (sqrt.f64 (+.f64 y x)) 0)
(sqrt.f64 (+.f64 y x))
(*.f64 1 (sqrt.f64 (+.f64 x y)))
(+.f64 1 (-.f64 (sqrt.f64 (+.f64 y x)) 1))
(+.f64 (sqrt.f64 (+.f64 y x)) 0)
(sqrt.f64 (+.f64 y x))
(*.f64 (pow.f64 (+.f64 x y) 1/4) (pow.f64 (+.f64 x y) 1/4))
(+.f64 1 (-.f64 (sqrt.f64 (+.f64 y x)) 1))
(+.f64 (sqrt.f64 (+.f64 y x)) 0)
(sqrt.f64 (+.f64 y x))
(*.f64 (cbrt.f64 (+.f64 x y)) (cbrt.f64 (sqrt.f64 (+.f64 x y))))
(*.f64 (cbrt.f64 (+.f64 y x)) (cbrt.f64 (sqrt.f64 (+.f64 y x))))
(*.f64 (cbrt.f64 (sqrt.f64 (+.f64 x y))) (cbrt.f64 (+.f64 x y)))
(*.f64 (cbrt.f64 (+.f64 y x)) (cbrt.f64 (sqrt.f64 (+.f64 y x))))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 x y)) 2)) (sqrt.f64 (cbrt.f64 (+.f64 x y))))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 y x)) 2)) (sqrt.f64 (cbrt.f64 (+.f64 y x))))
(*.f64 (fabs.f64 (cbrt.f64 (+.f64 y x))) (sqrt.f64 (cbrt.f64 (+.f64 y x))))
(*.f64 (cbrt.f64 (+.f64 y x)) (sqrt.f64 (cbrt.f64 (+.f64 y x))))
(pow.f64 (cbrt.f64 (+.f64 y x)) 3/2)
(*.f64 (pow.f64 1 1/2) (sqrt.f64 (+.f64 x y)))
(+.f64 1 (-.f64 (sqrt.f64 (+.f64 y x)) 1))
(+.f64 (sqrt.f64 (+.f64 y x)) 0)
(sqrt.f64 (+.f64 y x))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 x y)) 2) 1/2) (pow.f64 (cbrt.f64 (+.f64 x y)) 1/2))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 y x)) 2)) (sqrt.f64 (cbrt.f64 (+.f64 y x))))
(*.f64 (fabs.f64 (cbrt.f64 (+.f64 y x))) (sqrt.f64 (cbrt.f64 (+.f64 y x))))
(*.f64 (cbrt.f64 (+.f64 y x)) (sqrt.f64 (cbrt.f64 (+.f64 y x))))
(pow.f64 (cbrt.f64 (+.f64 y x)) 3/2)
(/.f64 (sqrt.f64 (+.f64 (pow.f64 x 3) (pow.f64 y 3))) (sqrt.f64 (fma.f64 x x (*.f64 y (-.f64 y x)))))
(/.f64 (sqrt.f64 (+.f64 (pow.f64 y 3) (pow.f64 x 3))) (sqrt.f64 (fma.f64 x x (*.f64 y (-.f64 y x)))))
(/.f64 (hypot.f64 (pow.f64 x 3/2) (pow.f64 y 3/2)) (sqrt.f64 (fma.f64 x x (*.f64 y (-.f64 y x)))))
(/.f64 (hypot.f64 (pow.f64 x 3/2) (pow.f64 y 3/2)) (sqrt.f64 (fma.f64 y (-.f64 y x) (*.f64 x x))))
(/.f64 (hypot.f64 (pow.f64 x 3/2) (pow.f64 y 3/2)) (sqrt.f64 (fma.f64 y y (*.f64 x (-.f64 x y)))))
(/.f64 (sqrt.f64 (-.f64 (.f64 x x) (.f64 y y))) (sqrt.f64 (-.f64 x y)))
(/.f64 (sqrt.f64 (*.f64 (+.f64 y x) (-.f64 x y))) (sqrt.f64 (-.f64 x y)))
(pow.f64 (+.f64 x y) 1/2)
(+.f64 1 (-.f64 (sqrt.f64 (+.f64 y x)) 1))
(+.f64 (sqrt.f64 (+.f64 y x)) 0)
(sqrt.f64 (+.f64 y x))
(pow.f64 (sqrt.f64 (+.f64 x y)) 1)
(+.f64 1 (-.f64 (sqrt.f64 (+.f64 y x)) 1))
(+.f64 (sqrt.f64 (+.f64 y x)) 0)
(sqrt.f64 (+.f64 y x))
(pow.f64 (pow.f64 (+.f64 x y) 1/4) 2)
(+.f64 1 (-.f64 (sqrt.f64 (+.f64 y x)) 1))
(+.f64 (sqrt.f64 (+.f64 y x)) 0)
(sqrt.f64 (+.f64 y x))
(pow.f64 (cbrt.f64 (sqrt.f64 (+.f64 x y))) 3)
(+.f64 1 (-.f64 (sqrt.f64 (+.f64 y x)) 1))
(+.f64 (sqrt.f64 (+.f64 y x)) 0)
(sqrt.f64 (+.f64 y x))
(pow.f64 (pow.f64 (+.f64 x y) 3/2) 1/3)
(cbrt.f64 (pow.f64 (+.f64 y x) 3/2))
(fabs.f64 (sqrt.f64 (+.f64 x y)))
(+.f64 1 (-.f64 (sqrt.f64 (+.f64 y x)) 1))
(+.f64 (sqrt.f64 (+.f64 y x)) 0)
(sqrt.f64 (+.f64 y x))
(log.f64 (exp.f64 (sqrt.f64 (+.f64 x y))))
(+.f64 1 (-.f64 (sqrt.f64 (+.f64 y x)) 1))
(+.f64 (sqrt.f64 (+.f64 y x)) 0)
(sqrt.f64 (+.f64 y x))
(cbrt.f64 (pow.f64 (+.f64 x y) 3/2))
(cbrt.f64 (pow.f64 (+.f64 y x) 3/2))
(expm1.f64 (log1p.f64 (sqrt.f64 (+.f64 x y))))
(+.f64 1 (-.f64 (sqrt.f64 (+.f64 y x)) 1))
(+.f64 (sqrt.f64 (+.f64 y x)) 0)
(sqrt.f64 (+.f64 y x))
(hypot.f64 (sqrt.f64 y) (sqrt.f64 x))
(+.f64 1 (-.f64 (sqrt.f64 (+.f64 y x)) 1))
(+.f64 (sqrt.f64 (+.f64 y x)) 0)
(sqrt.f64 (+.f64 y x))
(hypot.f64 (sqrt.f64 x) (sqrt.f64 y))
(+.f64 1 (-.f64 (sqrt.f64 (+.f64 y x)) 1))
(+.f64 (sqrt.f64 (+.f64 y x)) 0)
(sqrt.f64 (+.f64 y x))
(exp.f64 (log.f64 (sqrt.f64 (+.f64 x y))))
(+.f64 1 (-.f64 (sqrt.f64 (+.f64 y x)) 1))
(+.f64 (sqrt.f64 (+.f64 y x)) 0)
(sqrt.f64 (+.f64 y x))
(exp.f64 (*.f64 (log.f64 (+.f64 x y)) 1/2))
(+.f64 1 (-.f64 (sqrt.f64 (+.f64 y x)) 1))
(+.f64 (sqrt.f64 (+.f64 y x)) 0)
(sqrt.f64 (+.f64 y x))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 x y))) 1))
(+.f64 1 (-.f64 (sqrt.f64 (+.f64 y x)) 1))
(+.f64 (sqrt.f64 (+.f64 y x)) 0)
(sqrt.f64 (+.f64 y x))
(log1p.f64 (expm1.f64 (sqrt.f64 (+.f64 x y))))
(+.f64 1 (-.f64 (sqrt.f64 (+.f64 y x)) 1))
(+.f64 (sqrt.f64 (+.f64 y x)) 0)
(sqrt.f64 (+.f64 y x))

eval19.0ms (1.1%)

Compiler: Compiled 1099 to 663 computations (39.7% saved)

prune10.0ms (0.6%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	69	3	72
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	69	4	73

Error

Counts

73 → 4

Alt Table

Click to see full alt table

Status	Error	Program
▶	0.5b	(pow.f64 (pow.f64 (+.f64 x y) 1/4) 2)
✓	0.0b	(sqrt.f64 (+.f64 x y))
▶	0.9b	(sqrt.f64 y)
▶	22.2b	(cbrt.f64 (pow.f64 (+.f64 y x) 3/2))

Compiler

Compiled 27 to 20 computations (25.9% saved)

localize11.0ms (0.7%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(pow.f64 (+.f64 y x) 3/2)
✓	21.3b	(cbrt.f64 (pow.f64 (+.f64 y x) 3/2))

Compiler

Compiled 19 to 9 computations (52.6% saved)

series7.0ms (0.4%)

Counts

2 → 32

Calls

12 calls:

Time	Variable		Point	Expression
2.0ms	y	@	-inf	(pow.f64 (+.f64 y x) 3/2)
1.0ms	y	@	inf	(pow.f64 (+.f64 y x) 3/2)
1.0ms	x	@	0	(pow.f64 (+.f64 y x) 3/2)
1.0ms	x	@	-inf	(pow.f64 (+.f64 y x) 3/2)
1.0ms	y	@	0	(pow.f64 (+.f64 y x) 3/2)

rewrite60.0ms (3.5%)

Algorithm

1×	batch-egg-rewrite

Rules

1864×	`add-sqr-sqrt`
1828×	`*-un-lft-identity`
1726×	`add-cube-cbrt`
1708×	`add-cbrt-cube`
186×	`add-exp-log`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	9	30
1	191	24
2	2427	24

Stop Event

1×	node limit

Counts

2 → 46

Calls

Call 1

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

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

Outputs

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

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

simplify254.0ms (14.7%)

Algorithm

1×	egg-herbie

Rules

1272×	`associate-*r/`
970×	`*-commutative`
578×	`distribute-lft-in`
542×	`associate-+r+`
518×	`distribute-rgt-in`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	256	3026
1	673	2884
2	2351	2652
3	6583	2652

Stop Event

1×	node limit

Counts

78 → 144

Calls

Call 1

Inputs
(sqrt.f64 x)
(+.f64 (sqrt.f64 x) (.f64 1/2 (.f64 y (sqrt.f64 (/.f64 1 x)))))
(+.f64 (.f64 -1/8 (.f64 (pow.f64 y 2) (sqrt.f64 (/.f64 1 (pow.f64 x 3))))) (+.f64 (sqrt.f64 x) (.f64 1/2 (.f64 y (sqrt.f64 (/.f64 1 x))))))
(+.f64 (.f64 -1/8 (.f64 (pow.f64 y 2) (sqrt.f64 (/.f64 1 (pow.f64 x 3))))) (+.f64 (.f64 1/16 (.f64 (pow.f64 y 3) (sqrt.f64 (/.f64 1 (pow.f64 x 5))))) (+.f64 (sqrt.f64 x) (.f64 1/2 (.f64 y (sqrt.f64 (/.f64 1 x)))))))
(sqrt.f64 y)
(+.f64 (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 y)) x)) (sqrt.f64 y))
(+.f64 (.f64 -1/8 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 y 3))) (pow.f64 x 2))) (+.f64 (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 y)) x)) (sqrt.f64 y)))
(+.f64 (.f64 -1/8 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 y 3))) (pow.f64 x 2))) (+.f64 (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 y)) x)) (+.f64 (.f64 1/16 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 y 5))) (pow.f64 x 3))) (sqrt.f64 y))))
(sqrt.f64 (pow.f64 x 3))
(+.f64 (.f64 3/2 (.f64 y (sqrt.f64 x))) (sqrt.f64 (pow.f64 x 3)))
(+.f64 (.f64 3/2 (.f64 y (sqrt.f64 x))) (+.f64 (.f64 3/8 (.f64 (pow.f64 y 2) (sqrt.f64 (/.f64 1 x)))) (sqrt.f64 (pow.f64 x 3))))
(+.f64 (.f64 3/2 (.f64 y (sqrt.f64 x))) (+.f64 (.f64 3/8 (.f64 (pow.f64 y 2) (sqrt.f64 (/.f64 1 x)))) (+.f64 (sqrt.f64 (pow.f64 x 3)) (.f64 -1/16 (.f64 (pow.f64 y 3) (sqrt.f64 (/.f64 1 (pow.f64 x 3))))))))
(sqrt.f64 (pow.f64 y 3))
(+.f64 (.f64 3/2 (.f64 (sqrt.f64 y) x)) (sqrt.f64 (pow.f64 y 3)))
(+.f64 (.f64 (sqrt.f64 (/.f64 1 y)) (+.f64 (.f64 9/8 (pow.f64 x 2)) (.f64 -3/4 (pow.f64 x 2)))) (+.f64 (.f64 3/2 (*.f64 (sqrt.f64 y) x)) (sqrt.f64 (pow.f64 y 3))))
(+.f64 (.f64 (sqrt.f64 (/.f64 1 y)) (+.f64 (.f64 9/8 (pow.f64 x 2)) (.f64 -3/4 (pow.f64 x 2)))) (+.f64 (.f64 (+.f64 (.f64 1/2 (pow.f64 x 3)) (+.f64 (.f64 -9/8 (pow.f64 x 3)) (.f64 9/16 (pow.f64 x 3)))) (sqrt.f64 (/.f64 1 (pow.f64 y 3)))) (+.f64 (.f64 3/2 (*.f64 (sqrt.f64 y) x)) (sqrt.f64 (pow.f64 y 3)))))
(exp.f64 (.f64 3/2 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1))))
(+.f64 (.f64 3/2 (/.f64 (.f64 (exp.f64 (.f64 3/2 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)))) x) y)) (exp.f64 (.f64 3/2 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)))))
(+.f64 (/.f64 (.f64 (+.f64 (.f64 9/8 (pow.f64 x 2)) (.f64 -3/4 (pow.f64 x 2))) (exp.f64 (.f64 3/2 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1))))) (pow.f64 y 2)) (+.f64 (.f64 3/2 (/.f64 (.f64 (exp.f64 (.f64 3/2 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)))) x) y)) (exp.f64 (.f64 3/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1))))))
(+.f64 (/.f64 (.f64 (+.f64 (.f64 9/8 (pow.f64 x 2)) (.f64 -3/4 (pow.f64 x 2))) (exp.f64 (.f64 3/2 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1))))) (pow.f64 y 2)) (+.f64 (.f64 3/2 (/.f64 (.f64 (exp.f64 (.f64 3/2 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)))) x) y)) (+.f64 (.f64 -1 (/.f64 (.f64 (+.f64 (.f64 -1/2 (pow.f64 x 3)) (+.f64 (.f64 9/8 (pow.f64 x 3)) (.f64 -9/16 (pow.f64 x 3)))) (exp.f64 (.f64 3/2 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1))))) (pow.f64 y 3))) (exp.f64 (.f64 3/2 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)))))))
(sqrt.f64 (pow.f64 y 3))
(+.f64 (.f64 3/2 (.f64 (sqrt.f64 y) x)) (sqrt.f64 (pow.f64 y 3)))
(+.f64 (.f64 3/2 (.f64 (sqrt.f64 y) x)) (+.f64 (.f64 3/8 (.f64 (sqrt.f64 (/.f64 1 y)) (pow.f64 x 2))) (sqrt.f64 (pow.f64 y 3))))
(+.f64 (.f64 -1/16 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 y 3))) (pow.f64 x 3))) (+.f64 (.f64 3/2 (.f64 (sqrt.f64 y) x)) (+.f64 (.f64 3/8 (.f64 (sqrt.f64 (/.f64 1 y)) (pow.f64 x 2))) (sqrt.f64 (pow.f64 y 3)))))
(sqrt.f64 (pow.f64 x 3))
(+.f64 (.f64 3/2 (.f64 y (sqrt.f64 x))) (sqrt.f64 (pow.f64 x 3)))
(+.f64 (.f64 (+.f64 (.f64 9/8 (pow.f64 y 2)) (.f64 -3/4 (pow.f64 y 2))) (sqrt.f64 (/.f64 1 x))) (+.f64 (.f64 3/2 (*.f64 y (sqrt.f64 x))) (sqrt.f64 (pow.f64 x 3))))
(+.f64 (.f64 (+.f64 (.f64 9/8 (pow.f64 y 2)) (.f64 -3/4 (pow.f64 y 2))) (sqrt.f64 (/.f64 1 x))) (+.f64 (.f64 (+.f64 (.f64 -9/8 (pow.f64 y 3)) (+.f64 (.f64 9/16 (pow.f64 y 3)) (.f64 1/2 (pow.f64 y 3)))) (sqrt.f64 (/.f64 1 (pow.f64 x 3)))) (+.f64 (.f64 3/2 (*.f64 y (sqrt.f64 x))) (sqrt.f64 (pow.f64 x 3)))))
(exp.f64 (.f64 3/2 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))))
(+.f64 (exp.f64 (.f64 3/2 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) (.f64 3/2 (/.f64 (.f64 y (exp.f64 (.f64 3/2 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))))) x)))
(+.f64 (/.f64 (.f64 (exp.f64 (.f64 3/2 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) (+.f64 (.f64 9/8 (pow.f64 y 2)) (.f64 -3/4 (pow.f64 y 2)))) (pow.f64 x 2)) (+.f64 (exp.f64 (.f64 3/2 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) (.f64 3/2 (/.f64 (.f64 y (exp.f64 (.f64 3/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))))) x))))
(+.f64 (.f64 -1 (/.f64 (.f64 (exp.f64 (.f64 3/2 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) (+.f64 (.f64 -9/16 (pow.f64 y 3)) (+.f64 (.f64 -1/2 (pow.f64 y 3)) (.f64 9/8 (pow.f64 y 3))))) (pow.f64 x 3))) (+.f64 (/.f64 (.f64 (exp.f64 (.f64 3/2 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) (+.f64 (.f64 9/8 (pow.f64 y 2)) (.f64 -3/4 (pow.f64 y 2)))) (pow.f64 x 2)) (+.f64 (exp.f64 (.f64 3/2 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) (.f64 3/2 (/.f64 (.f64 y (exp.f64 (.f64 3/2 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))))) x)))))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (+.f64 y x)))) 1)
(*.f64 (sqrt.f64 (+.f64 y x)) 1)
(*.f64 1 (sqrt.f64 (+.f64 y x)))
(*.f64 (sqrt.f64 (sqrt.f64 (+.f64 y x))) (sqrt.f64 (sqrt.f64 (+.f64 y x))))
(*.f64 (cbrt.f64 (sqrt.f64 (+.f64 y x))) (cbrt.f64 (+.f64 y x)))
(*.f64 (cbrt.f64 (+.f64 y x)) (cbrt.f64 (sqrt.f64 (+.f64 y x))))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 y x)) 2)) (sqrt.f64 (cbrt.f64 (+.f64 y x))))
(*.f64 (pow.f64 1 1/3) (sqrt.f64 (+.f64 y x)))
(*.f64 (pow.f64 (pow.f64 (+.f64 y x) 3/4) 1/3) (pow.f64 (pow.f64 (+.f64 y x) 3/4) 1/3))
(/.f64 (sqrt.f64 (+.f64 (pow.f64 y 3) (pow.f64 x 3))) (sqrt.f64 (fma.f64 y y (*.f64 x (-.f64 x y)))))
(/.f64 (sqrt.f64 (-.f64 (.f64 y y) (.f64 x x))) (sqrt.f64 (-.f64 y x)))
(pow.f64 (+.f64 y x) 1/2)
(pow.f64 (pow.f64 (+.f64 y x) 3/2) 1/3)
(pow.f64 (sqrt.f64 (+.f64 y x)) 1)
(pow.f64 (sqrt.f64 (sqrt.f64 (+.f64 y x))) 2)
(pow.f64 (cbrt.f64 (sqrt.f64 (+.f64 y x))) 3)
(sqrt.f64 (+.f64 y x))
(fabs.f64 (sqrt.f64 (+.f64 y x)))
(log.f64 (exp.f64 (sqrt.f64 (+.f64 y x))))
(log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (+.f64 y x)))))
(expm1.f64 (log1p.f64 (sqrt.f64 (+.f64 y x))))
(hypot.f64 (sqrt.f64 x) (sqrt.f64 y))
(hypot.f64 (sqrt.f64 y) (sqrt.f64 x))
(exp.f64 (log.f64 (sqrt.f64 (+.f64 y x))))
(exp.f64 (.f64 (.f64 3/2 (log.f64 (+.f64 y x))) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 y x))) 1))
(log1p.f64 (expm1.f64 (sqrt.f64 (+.f64 y x))))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (+.f64 y x) 3/2))) 1)
(*.f64 (+.f64 y x) (sqrt.f64 (+.f64 y x)))
(*.f64 (pow.f64 (+.f64 y x) 3/2) 1)
(*.f64 (sqrt.f64 (+.f64 y x)) (+.f64 y x))
(*.f64 1 (pow.f64 (+.f64 y x) 3/2))
(*.f64 (pow.f64 (+.f64 y x) 3/4) (pow.f64 (+.f64 y x) 3/4))
(.f64 (.f64 (+.f64 y x) (sqrt.f64 (sqrt.f64 (+.f64 y x)))) (sqrt.f64 (sqrt.f64 (+.f64 y x))))
(.f64 (.f64 (+.f64 y x) (cbrt.f64 (+.f64 y x))) (cbrt.f64 (sqrt.f64 (+.f64 y x))))
(*.f64 (pow.f64 1 3/2) (pow.f64 (+.f64 y x) 3/2))
(*.f64 (pow.f64 (sqrt.f64 (+.f64 y x)) 3/2) (pow.f64 (sqrt.f64 (+.f64 y x)) 3/2))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 y x)) 2) 3/2) (pow.f64 (cbrt.f64 (+.f64 y x)) 3/2))
(sqrt.f64 (pow.f64 (+.f64 y x) 3))
(log.f64 (exp.f64 (pow.f64 (+.f64 y x) 3/2)))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (+.f64 y x) 3/2))))
(cbrt.f64 (pow.f64 (pow.f64 (+.f64 y x) 3/2) 3))
(expm1.f64 (log1p.f64 (pow.f64 (+.f64 y x) 3/2)))
(exp.f64 (*.f64 3/2 (log.f64 (+.f64 y x))))
(exp.f64 (.f64 (.f64 3/2 (log.f64 (+.f64 y x))) 1))
(log1p.f64 (expm1.f64 (pow.f64 (+.f64 y x) 3/2)))

Outputs
(sqrt.f64 x)
(+.f64 (sqrt.f64 x) (.f64 1/2 (.f64 y (sqrt.f64 (/.f64 1 x)))))
(fma.f64 1/2 (*.f64 y (sqrt.f64 (/.f64 1 x))) (sqrt.f64 x))
(+.f64 (.f64 -1/8 (.f64 (pow.f64 y 2) (sqrt.f64 (/.f64 1 (pow.f64 x 3))))) (+.f64 (sqrt.f64 x) (.f64 1/2 (.f64 y (sqrt.f64 (/.f64 1 x))))))
(fma.f64 -1/8 (.f64 (.f64 y y) (sqrt.f64 (/.f64 1 (pow.f64 x 3)))) (+.f64 (sqrt.f64 x) (.f64 1/2 (.f64 y (sqrt.f64 (/.f64 1 x))))))
(fma.f64 -1/8 (.f64 (.f64 y y) (sqrt.f64 (/.f64 1 (pow.f64 x 3)))) (fma.f64 1/2 (*.f64 y (sqrt.f64 (/.f64 1 x))) (sqrt.f64 x)))
(fma.f64 -1/8 (.f64 y (.f64 y (sqrt.f64 (/.f64 1 (pow.f64 x 3))))) (fma.f64 1/2 (*.f64 y (sqrt.f64 (/.f64 1 x))) (sqrt.f64 x)))
(+.f64 (.f64 -1/8 (.f64 (pow.f64 y 2) (sqrt.f64 (/.f64 1 (pow.f64 x 3))))) (+.f64 (.f64 1/16 (.f64 (pow.f64 y 3) (sqrt.f64 (/.f64 1 (pow.f64 x 5))))) (+.f64 (sqrt.f64 x) (.f64 1/2 (.f64 y (sqrt.f64 (/.f64 1 x)))))))
(fma.f64 -1/8 (.f64 (.f64 y y) (sqrt.f64 (/.f64 1 (pow.f64 x 3)))) (fma.f64 1/16 (.f64 (pow.f64 y 3) (sqrt.f64 (/.f64 1 (pow.f64 x 5)))) (+.f64 (sqrt.f64 x) (.f64 1/2 (*.f64 y (sqrt.f64 (/.f64 1 x)))))))
(fma.f64 -1/8 (.f64 (.f64 y y) (sqrt.f64 (/.f64 1 (pow.f64 x 3)))) (fma.f64 1/16 (.f64 (pow.f64 y 3) (sqrt.f64 (/.f64 1 (pow.f64 x 5)))) (fma.f64 1/2 (.f64 y (sqrt.f64 (/.f64 1 x))) (sqrt.f64 x))))
(fma.f64 -1/8 (.f64 y (.f64 y (sqrt.f64 (/.f64 1 (pow.f64 x 3))))) (fma.f64 1/16 (.f64 (pow.f64 y 3) (sqrt.f64 (/.f64 1 (pow.f64 x 5)))) (fma.f64 1/2 (.f64 y (sqrt.f64 (/.f64 1 x))) (sqrt.f64 x))))
(sqrt.f64 y)
(+.f64 (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 y)) x)) (sqrt.f64 y))
(fma.f64 1/2 (*.f64 x (sqrt.f64 (/.f64 1 y))) (sqrt.f64 y))
(+.f64 (.f64 -1/8 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 y 3))) (pow.f64 x 2))) (+.f64 (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 y)) x)) (sqrt.f64 y)))
(fma.f64 -1/8 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 y 3))) (.f64 x x)) (fma.f64 1/2 (*.f64 x (sqrt.f64 (/.f64 1 y))) (sqrt.f64 y)))
(fma.f64 -1/8 (.f64 x (.f64 x (sqrt.f64 (/.f64 1 (pow.f64 y 3))))) (fma.f64 1/2 (*.f64 x (sqrt.f64 (/.f64 1 y))) (sqrt.f64 y)))
(+.f64 (.f64 -1/8 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 y 3))) (pow.f64 x 2))) (+.f64 (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 y)) x)) (+.f64 (.f64 1/16 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 y 5))) (pow.f64 x 3))) (sqrt.f64 y))))
(fma.f64 -1/8 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 y 3))) (.f64 x x)) (fma.f64 1/2 (.f64 x (sqrt.f64 (/.f64 1 y))) (fma.f64 1/16 (.f64 (pow.f64 x 3) (sqrt.f64 (/.f64 1 (pow.f64 y 5)))) (sqrt.f64 y))))
(fma.f64 -1/8 (.f64 x (.f64 x (sqrt.f64 (/.f64 1 (pow.f64 y 3))))) (fma.f64 1/2 (.f64 x (sqrt.f64 (/.f64 1 y))) (fma.f64 1/16 (.f64 (pow.f64 x 3) (sqrt.f64 (/.f64 1 (pow.f64 y 5)))) (sqrt.f64 y))))
(sqrt.f64 (pow.f64 x 3))
(fabs.f64 (pow.f64 x 3/2))
(pow.f64 x 3/2)
(+.f64 (.f64 3/2 (.f64 y (sqrt.f64 x))) (sqrt.f64 (pow.f64 x 3)))
(fma.f64 3/2 (*.f64 (sqrt.f64 x) y) (sqrt.f64 (pow.f64 x 3)))
(fma.f64 3/2 (*.f64 (sqrt.f64 x) y) (fabs.f64 (pow.f64 x 3/2)))
(fma.f64 3/2 (*.f64 y (sqrt.f64 x)) (pow.f64 x 3/2))
(+.f64 (.f64 3/2 (.f64 y (sqrt.f64 x))) (+.f64 (.f64 3/8 (.f64 (pow.f64 y 2) (sqrt.f64 (/.f64 1 x)))) (sqrt.f64 (pow.f64 x 3))))
(fma.f64 3/2 (.f64 (sqrt.f64 x) y) (fma.f64 3/8 (.f64 (sqrt.f64 (/.f64 1 x)) (*.f64 y y)) (sqrt.f64 (pow.f64 x 3))))
(fma.f64 (sqrt.f64 (/.f64 1 x)) (.f64 y (.f64 y 3/8)) (fma.f64 3/2 (*.f64 (sqrt.f64 x) y) (fabs.f64 (pow.f64 x 3/2))))
(fma.f64 (sqrt.f64 (/.f64 1 x)) (.f64 y (.f64 y 3/8)) (fma.f64 3/2 (*.f64 y (sqrt.f64 x)) (pow.f64 x 3/2)))
(+.f64 (.f64 3/2 (.f64 y (sqrt.f64 x))) (+.f64 (.f64 3/8 (.f64 (pow.f64 y 2) (sqrt.f64 (/.f64 1 x)))) (+.f64 (sqrt.f64 (pow.f64 x 3)) (.f64 -1/16 (.f64 (pow.f64 y 3) (sqrt.f64 (/.f64 1 (pow.f64 x 3))))))))
(fma.f64 3/2 (.f64 (sqrt.f64 x) y) (fma.f64 3/8 (.f64 (sqrt.f64 (/.f64 1 x)) (.f64 y y)) (+.f64 (sqrt.f64 (pow.f64 x 3)) (.f64 -1/16 (*.f64 (sqrt.f64 (/.f64 1 (pow.f64 x 3))) (pow.f64 y 3))))))
(fma.f64 (sqrt.f64 (/.f64 1 x)) (.f64 y (.f64 y 3/8)) (fma.f64 (sqrt.f64 (/.f64 1 (pow.f64 x 3))) (.f64 (pow.f64 y 3) -1/16) (fma.f64 3/2 (.f64 (sqrt.f64 x) y) (fabs.f64 (pow.f64 x 3/2)))))
(fma.f64 (sqrt.f64 (/.f64 1 x)) (.f64 y (.f64 y 3/8)) (fma.f64 (sqrt.f64 (/.f64 1 (pow.f64 x 3))) (.f64 (pow.f64 y 3) -1/16) (fma.f64 3/2 (.f64 y (sqrt.f64 x)) (pow.f64 x 3/2))))
(sqrt.f64 (pow.f64 y 3))
(pow.f64 y 3/2)
(+.f64 (.f64 3/2 (.f64 (sqrt.f64 y) x)) (sqrt.f64 (pow.f64 y 3)))
(fma.f64 3/2 (*.f64 x (sqrt.f64 y)) (sqrt.f64 (pow.f64 y 3)))
(fma.f64 3/2 (*.f64 x (sqrt.f64 y)) (pow.f64 y 3/2))
(+.f64 (.f64 (sqrt.f64 (/.f64 1 y)) (+.f64 (.f64 9/8 (pow.f64 x 2)) (.f64 -3/4 (pow.f64 x 2)))) (+.f64 (.f64 3/2 (*.f64 (sqrt.f64 y) x)) (sqrt.f64 (pow.f64 y 3))))
(fma.f64 (sqrt.f64 (/.f64 1 y)) (.f64 (.f64 x x) 3/8) (fma.f64 3/2 (*.f64 x (sqrt.f64 y)) (sqrt.f64 (pow.f64 y 3))))
(fma.f64 3/2 (.f64 x (sqrt.f64 y)) (fma.f64 3/8 (.f64 x (*.f64 x (sqrt.f64 (/.f64 1 y)))) (sqrt.f64 (pow.f64 y 3))))
(fma.f64 (sqrt.f64 (/.f64 1 y)) (.f64 x (.f64 x 3/8)) (fma.f64 3/2 (*.f64 x (sqrt.f64 y)) (pow.f64 y 3/2)))
(+.f64 (.f64 (sqrt.f64 (/.f64 1 y)) (+.f64 (.f64 9/8 (pow.f64 x 2)) (.f64 -3/4 (pow.f64 x 2)))) (+.f64 (.f64 (+.f64 (.f64 1/2 (pow.f64 x 3)) (+.f64 (.f64 -9/8 (pow.f64 x 3)) (.f64 9/16 (pow.f64 x 3)))) (sqrt.f64 (/.f64 1 (pow.f64 y 3)))) (+.f64 (.f64 3/2 (*.f64 (sqrt.f64 y) x)) (sqrt.f64 (pow.f64 y 3)))))
(fma.f64 (sqrt.f64 (/.f64 1 y)) (.f64 (.f64 x x) 3/8) (fma.f64 (fma.f64 1/2 (pow.f64 x 3) (.f64 (pow.f64 x 3) -9/16)) (sqrt.f64 (/.f64 1 (pow.f64 y 3))) (fma.f64 3/2 (.f64 x (sqrt.f64 y)) (sqrt.f64 (pow.f64 y 3)))))
(fma.f64 (sqrt.f64 (/.f64 1 y)) (.f64 x (.f64 x 3/8)) (fma.f64 (sqrt.f64 (/.f64 1 (pow.f64 y 3))) (.f64 (pow.f64 x 3) -1/16) (fma.f64 3/2 (.f64 x (sqrt.f64 y)) (sqrt.f64 (pow.f64 y 3)))))
(fma.f64 -1/16 (.f64 (pow.f64 x 3) (sqrt.f64 (/.f64 1 (pow.f64 y 3)))) (fma.f64 (sqrt.f64 (/.f64 1 y)) (.f64 x (.f64 x 3/8)) (fma.f64 3/2 (.f64 x (sqrt.f64 y)) (pow.f64 y 3/2))))
(exp.f64 (.f64 3/2 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1))))
(pow.f64 (exp.f64 3/2) (fma.f64 -1 (log.f64 (/.f64 -1 y)) (log.f64 -1)))
(pow.f64 (exp.f64 3/2) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 y))))
(*.f64 (pow.f64 -1 3/2) (pow.f64 (/.f64 -1 y) -3/2))
(+.f64 (.f64 3/2 (/.f64 (.f64 (exp.f64 (.f64 3/2 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)))) x) y)) (exp.f64 (.f64 3/2 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)))))
(fma.f64 3/2 (/.f64 (pow.f64 (exp.f64 3/2) (fma.f64 -1 (log.f64 (/.f64 -1 y)) (log.f64 -1))) (/.f64 y x)) (pow.f64 (exp.f64 3/2) (fma.f64 -1 (log.f64 (/.f64 -1 y)) (log.f64 -1))))
(fma.f64 3/2 (*.f64 (/.f64 (pow.f64 (exp.f64 3/2) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 y)))) y) x) (pow.f64 (exp.f64 3/2) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 y)))))
(fma.f64 3/2 (.f64 x (/.f64 (pow.f64 (/.f64 -1 y) -3/2) (/.f64 y (pow.f64 -1 3/2)))) (.f64 (pow.f64 -1 3/2) (pow.f64 (/.f64 -1 y) -3/2)))
(+.f64 (/.f64 (.f64 (+.f64 (.f64 9/8 (pow.f64 x 2)) (.f64 -3/4 (pow.f64 x 2))) (exp.f64 (.f64 3/2 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1))))) (pow.f64 y 2)) (+.f64 (.f64 3/2 (/.f64 (.f64 (exp.f64 (.f64 3/2 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)))) x) y)) (exp.f64 (.f64 3/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1))))))
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(pow.f64 (+.f64 x y) 3/2)
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 y x)) 2) 3/2) (pow.f64 (cbrt.f64 (+.f64 y x)) 3/2))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 x y)) 2) 3/2) (pow.f64 (cbrt.f64 (+.f64 x y)) 3/2))
(sqrt.f64 (pow.f64 (+.f64 y x) 3))
(pow.f64 (+.f64 x y) 3/2)
(log.f64 (exp.f64 (pow.f64 (+.f64 y x) 3/2)))
(pow.f64 (+.f64 x y) 3/2)
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (+.f64 y x) 3/2))))
(pow.f64 (+.f64 x y) 3/2)
(cbrt.f64 (pow.f64 (pow.f64 (+.f64 y x) 3/2) 3))
(pow.f64 (+.f64 x y) 3/2)
(expm1.f64 (log1p.f64 (pow.f64 (+.f64 y x) 3/2)))
(pow.f64 (+.f64 x y) 3/2)
(exp.f64 (*.f64 3/2 (log.f64 (+.f64 y x))))
(pow.f64 (+.f64 x y) 3/2)
(exp.f64 (.f64 (.f64 3/2 (log.f64 (+.f64 y x))) 1))
(pow.f64 (+.f64 x y) 3/2)
(log1p.f64 (expm1.f64 (pow.f64 (+.f64 y x) 3/2)))
(pow.f64 (+.f64 x y) 3/2)

localize2.0ms (0.1%)

Compiler: Compiled 5 to 3 computations (40% saved)

localize11.0ms (0.6%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.5b	(pow.f64 (pow.f64 (+.f64 x y) 1/4) 2)

Compiler

Compiled 21 to 11 computations (47.6% saved)

series7.0ms (0.4%)

Counts

1 → 24

Calls

6 calls:

Time	Variable		Point	Expression
1.0ms	x	@	inf	(pow.f64 (pow.f64 (+.f64 x y) 1/4) 2)
1.0ms	y	@	-inf	(pow.f64 (pow.f64 (+.f64 x y) 1/4) 2)
1.0ms	x	@	-inf	(pow.f64 (pow.f64 (+.f64 x y) 1/4) 2)
1.0ms	y	@	0	(pow.f64 (pow.f64 (+.f64 x y) 1/4) 2)
1.0ms	y	@	inf	(pow.f64 (pow.f64 (+.f64 x y) 1/4) 2)

rewrite65.0ms (3.7%)

Algorithm

1×	batch-egg-rewrite

Rules

1826×	`add-sqr-sqrt`
1798×	`*-un-lft-identity`
1694×	`add-cube-cbrt`
1682×	`add-cbrt-cube`
190×	`add-exp-log`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	9	13
1	202	11
2	2440	11

Stop Event

1×	node limit

Counts

1 → 27

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (sqrt.f64 (+.f64 x y)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (+.f64 x y) 1/4) (pow.f64 (+.f64 x y) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 x y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (sqrt.f64 (+.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (+.f64 x y) 1/8) (*.f64 (pow.f64 (+.f64 x y) 1/8) (pow.f64 (+.f64 x y) 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 x y)) (cbrt.f64 (sqrt.f64 (+.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (sqrt.f64 (+.f64 x y))) (cbrt.f64 (+.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (sqrt.f64 (+.f64 x y))) (*.f64 (cbrt.f64 (pow.f64 (+.f64 x y) 1/4)) (pow.f64 (+.f64 x y) 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 x y)) 2)) (sqrt.f64 (cbrt.f64 (+.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (+.f64 x y) 1/4) (pow.f64 (+.f64 x y) 1/8)) (pow.f64 (+.f64 x y) 1/8))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (+.f64 x y) 1/4) (cbrt.f64 (sqrt.f64 (+.f64 x y)))) (cbrt.f64 (pow.f64 (+.f64 x y) 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/2) (sqrt.f64 (+.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 x y)) 2) 1/2) (pow.f64 (cbrt.f64 (+.f64 x y)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (-.f64 (*.f64 x x) (*.f64 y y))) (sqrt.f64 (-.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (+.f64 (pow.f64 x 3) (pow.f64 y 3))) (sqrt.f64 (fma.f64 x x (*.f64 y (-.f64 y x)))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (+.f64 x y))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (sqrt.f64 (+.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (sqrt.f64 (+.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (+.f64 x y)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (sqrt.f64 (+.f64 x y)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (sqrt.f64 (+.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x hypot.f64 (sqrt.f64 x) (sqrt.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x hypot.f64 (sqrt.f64 y) (sqrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (sqrt.f64 (+.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (+.f64 x y)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 x y))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (sqrt.f64 (+.f64 x y))))))))

simplify89.0ms (5.1%)

Algorithm

1×	egg-herbie

Rules

966×	`associate-+r+`
794×	`distribute-lft-in`
772×	`distribute-rgt-in`
742×	`associate-+l+`
686×	`+-commutative`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	254	3291
1	704	3071
2	2767	2801
3	7630	2801

Stop Event

1×	node limit

Counts

51 → 101

Calls

Call 1

Inputs
(sqrt.f64 y)
(+.f64 (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 y)) x)) (sqrt.f64 y))
(+.f64 (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 y)) x)) (+.f64 (sqrt.f64 y) (.f64 (+.f64 (.f64 -3/16 (sqrt.f64 (/.f64 1 (pow.f64 y 3)))) (*.f64 1/16 (sqrt.f64 (/.f64 1 (pow.f64 y 3))))) (pow.f64 x 2))))
(+.f64 (.f64 (+.f64 (.f64 -3/64 (sqrt.f64 (/.f64 1 (pow.f64 y 5)))) (.f64 7/64 (sqrt.f64 (/.f64 1 (pow.f64 y 5))))) (pow.f64 x 3)) (+.f64 (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 y)) x)) (+.f64 (sqrt.f64 y) (.f64 (+.f64 (.f64 -3/16 (sqrt.f64 (/.f64 1 (pow.f64 y 3)))) (.f64 1/16 (sqrt.f64 (/.f64 1 (pow.f64 y 3))))) (pow.f64 x 2)))))
(sqrt.f64 x)
(+.f64 (sqrt.f64 x) (.f64 1/2 (.f64 y (sqrt.f64 (/.f64 1 x)))))
(+.f64 (.f64 1/16 (.f64 (pow.f64 y 2) (sqrt.f64 (/.f64 1 (pow.f64 x 3))))) (+.f64 (.f64 2 (.f64 (+.f64 (.f64 -1/8 (pow.f64 y 2)) (.f64 1/32 (pow.f64 y 2))) (sqrt.f64 (/.f64 1 (pow.f64 x 3))))) (+.f64 (sqrt.f64 x) (.f64 1/2 (.f64 y (sqrt.f64 (/.f64 1 x)))))))
(+.f64 (.f64 1/2 (.f64 (.f64 y (+.f64 (.f64 -1/8 (pow.f64 y 2)) (.f64 1/32 (pow.f64 y 2)))) (sqrt.f64 (/.f64 1 (pow.f64 x 5))))) (+.f64 (.f64 1/16 (.f64 (pow.f64 y 2) (sqrt.f64 (/.f64 1 (pow.f64 x 3))))) (+.f64 (.f64 2 (.f64 (+.f64 (.f64 -1/8 (pow.f64 y 2)) (.f64 1/32 (pow.f64 y 2))) (sqrt.f64 (/.f64 1 (pow.f64 x 3))))) (+.f64 (.f64 2 (.f64 (+.f64 (.f64 1/384 (pow.f64 y 3)) (+.f64 (.f64 1/12 (pow.f64 y 3)) (.f64 -1/32 (pow.f64 y 3)))) (sqrt.f64 (/.f64 1 (pow.f64 x 5))))) (+.f64 (sqrt.f64 x) (.f64 1/2 (.f64 y (sqrt.f64 (/.f64 1 x)))))))))
(pow.f64 (exp.f64 (.f64 1/4 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) 2)
(+.f64 (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) 2) (.f64 1/2 (/.f64 (.f64 (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) 2) y) x)))
(+.f64 (.f64 2 (/.f64 (.f64 (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) 2) (+.f64 (.f64 -1/8 (pow.f64 y 2)) (.f64 1/32 (pow.f64 y 2)))) (pow.f64 x 2))) (+.f64 (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) 2) (+.f64 (.f64 1/2 (/.f64 (.f64 (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) 2) y) x)) (.f64 1/16 (/.f64 (.f64 (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) 2) (pow.f64 y 2)) (pow.f64 x 2))))))
(+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 -1/2 (.f64 (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) 2) (.f64 y (+.f64 (.f64 -1/8 (pow.f64 y 2)) (.f64 1/32 (pow.f64 y 2)))))) (.f64 2 (.f64 (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) 2) (+.f64 (.f64 1/32 (pow.f64 y 3)) (+.f64 (.f64 -1/384 (pow.f64 y 3)) (.f64 -1/12 (pow.f64 y 3))))))) (pow.f64 x 3))) (+.f64 (.f64 2 (/.f64 (.f64 (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) 2) (+.f64 (.f64 -1/8 (pow.f64 y 2)) (.f64 1/32 (pow.f64 y 2)))) (pow.f64 x 2))) (+.f64 (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) 2) (+.f64 (.f64 1/2 (/.f64 (.f64 (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) 2) y) x)) (.f64 1/16 (/.f64 (.f64 (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) 2) (pow.f64 y 2)) (pow.f64 x 2)))))))
(sqrt.f64 x)
(+.f64 (sqrt.f64 x) (.f64 1/2 (.f64 y (sqrt.f64 (/.f64 1 x)))))
(+.f64 (.f64 (pow.f64 y 2) (+.f64 (.f64 1/16 (sqrt.f64 (/.f64 1 (pow.f64 x 3)))) (.f64 -3/16 (sqrt.f64 (/.f64 1 (pow.f64 x 3)))))) (+.f64 (sqrt.f64 x) (.f64 1/2 (*.f64 y (sqrt.f64 (/.f64 1 x))))))
(+.f64 (.f64 (pow.f64 y 3) (+.f64 (.f64 7/64 (sqrt.f64 (/.f64 1 (pow.f64 x 5)))) (.f64 -3/64 (sqrt.f64 (/.f64 1 (pow.f64 x 5)))))) (+.f64 (.f64 (pow.f64 y 2) (+.f64 (.f64 1/16 (sqrt.f64 (/.f64 1 (pow.f64 x 3)))) (.f64 -3/16 (sqrt.f64 (/.f64 1 (pow.f64 x 3)))))) (+.f64 (sqrt.f64 x) (.f64 1/2 (.f64 y (sqrt.f64 (/.f64 1 x)))))))
(sqrt.f64 y)
(+.f64 (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 y)) x)) (sqrt.f64 y))
(+.f64 (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 y)) x)) (+.f64 (.f64 2 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 y 3))) (+.f64 (.f64 -1/8 (pow.f64 x 2)) (.f64 1/32 (pow.f64 x 2))))) (+.f64 (.f64 1/16 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 y 3))) (pow.f64 x 2))) (sqrt.f64 y))))
(+.f64 (.f64 2 (.f64 (+.f64 (.f64 1/12 (pow.f64 x 3)) (+.f64 (.f64 1/384 (pow.f64 x 3)) (.f64 -1/32 (pow.f64 x 3)))) (sqrt.f64 (/.f64 1 (pow.f64 y 5))))) (+.f64 (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 y 5))) (.f64 (+.f64 (.f64 -1/8 (pow.f64 x 2)) (.f64 1/32 (pow.f64 x 2))) x))) (+.f64 (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 y)) x)) (+.f64 (.f64 1/16 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 y 3))) (pow.f64 x 2))) (+.f64 (.f64 2 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 y 3))) (+.f64 (.f64 -1/8 (pow.f64 x 2)) (.f64 1/32 (pow.f64 x 2))))) (sqrt.f64 y))))))
(pow.f64 (exp.f64 (.f64 1/4 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)))) 2)
(+.f64 (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)))) 2) (.f64 1/2 (/.f64 (.f64 (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)))) 2) x) y)))
(+.f64 (.f64 2 (/.f64 (.f64 (+.f64 (.f64 -1/8 (pow.f64 x 2)) (.f64 1/32 (pow.f64 x 2))) (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)))) 2)) (pow.f64 y 2))) (+.f64 (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)))) 2) (+.f64 (.f64 1/16 (/.f64 (.f64 (pow.f64 x 2) (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)))) 2)) (pow.f64 y 2))) (.f64 1/2 (/.f64 (.f64 (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)))) 2) x) y)))))
(+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 2 (.f64 (+.f64 (.f64 1/32 (pow.f64 x 3)) (+.f64 (.f64 -1/384 (pow.f64 x 3)) (.f64 -1/12 (pow.f64 x 3)))) (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)))) 2))) (.f64 -1/2 (.f64 (+.f64 (.f64 -1/8 (pow.f64 x 2)) (.f64 1/32 (pow.f64 x 2))) (.f64 x (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)))) 2))))) (pow.f64 y 3))) (+.f64 (.f64 2 (/.f64 (.f64 (+.f64 (.f64 -1/8 (pow.f64 x 2)) (.f64 1/32 (pow.f64 x 2))) (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)))) 2)) (pow.f64 y 2))) (+.f64 (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)))) 2) (+.f64 (.f64 1/16 (/.f64 (.f64 (pow.f64 x 2) (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)))) 2)) (pow.f64 y 2))) (.f64 1/2 (/.f64 (.f64 (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)))) 2) x) y))))))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (+.f64 x y)))) 1)
(*.f64 (pow.f64 (+.f64 x y) 1/4) (pow.f64 (+.f64 x y) 1/4))
(*.f64 (sqrt.f64 (+.f64 x y)) 1)
(*.f64 1 (sqrt.f64 (+.f64 x y)))
(.f64 (pow.f64 (+.f64 x y) 1/8) (.f64 (pow.f64 (+.f64 x y) 1/8) (pow.f64 (+.f64 x y) 1/4)))
(*.f64 (cbrt.f64 (+.f64 x y)) (cbrt.f64 (sqrt.f64 (+.f64 x y))))
(*.f64 (cbrt.f64 (sqrt.f64 (+.f64 x y))) (cbrt.f64 (+.f64 x y)))
(.f64 (cbrt.f64 (sqrt.f64 (+.f64 x y))) (.f64 (cbrt.f64 (pow.f64 (+.f64 x y) 1/4)) (pow.f64 (+.f64 x y) 1/4)))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 x y)) 2)) (sqrt.f64 (cbrt.f64 (+.f64 x y))))
(.f64 (.f64 (pow.f64 (+.f64 x y) 1/4) (pow.f64 (+.f64 x y) 1/8)) (pow.f64 (+.f64 x y) 1/8))
(.f64 (.f64 (pow.f64 (+.f64 x y) 1/4) (cbrt.f64 (sqrt.f64 (+.f64 x y)))) (cbrt.f64 (pow.f64 (+.f64 x y) 1/4)))
(*.f64 (pow.f64 1 1/2) (sqrt.f64 (+.f64 x y)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 x y)) 2) 1/2) (pow.f64 (cbrt.f64 (+.f64 x y)) 1/2))
(/.f64 (sqrt.f64 (-.f64 (.f64 x x) (.f64 y y))) (sqrt.f64 (-.f64 x y)))
(/.f64 (sqrt.f64 (+.f64 (pow.f64 x 3) (pow.f64 y 3))) (sqrt.f64 (fma.f64 x x (*.f64 y (-.f64 y x)))))
(sqrt.f64 (+.f64 x y))
(fabs.f64 (sqrt.f64 (+.f64 x y)))
(log.f64 (exp.f64 (sqrt.f64 (+.f64 x y))))
(log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (+.f64 x y)))))
(cbrt.f64 (pow.f64 (sqrt.f64 (+.f64 x y)) 3))
(expm1.f64 (log1p.f64 (sqrt.f64 (+.f64 x y))))
(hypot.f64 (sqrt.f64 x) (sqrt.f64 y))
(hypot.f64 (sqrt.f64 y) (sqrt.f64 x))
(exp.f64 (log.f64 (sqrt.f64 (+.f64 x y))))
(exp.f64 (*.f64 (log.f64 (+.f64 x y)) 1/2))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 x y))) 1))
(log1p.f64 (expm1.f64 (sqrt.f64 (+.f64 x y))))

Outputs
(sqrt.f64 y)
(+.f64 (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 y)) x)) (sqrt.f64 y))
(fma.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 y)) x) (sqrt.f64 y))
(fma.f64 (*.f64 1/2 (sqrt.f64 (/.f64 1 y))) x (sqrt.f64 y))
(+.f64 (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 y)) x)) (+.f64 (sqrt.f64 y) (.f64 (+.f64 (.f64 -3/16 (sqrt.f64 (/.f64 1 (pow.f64 y 3)))) (*.f64 1/16 (sqrt.f64 (/.f64 1 (pow.f64 y 3))))) (pow.f64 x 2))))
(+.f64 (fma.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 y)) x) (sqrt.f64 y)) (.f64 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 y 3))) -1/8) (.f64 x x)))
(fma.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 y)) x) (fma.f64 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 y 3))) -1/8) (*.f64 x x) (sqrt.f64 y)))
(+.f64 (.f64 (+.f64 (.f64 -3/64 (sqrt.f64 (/.f64 1 (pow.f64 y 5)))) (.f64 7/64 (sqrt.f64 (/.f64 1 (pow.f64 y 5))))) (pow.f64 x 3)) (+.f64 (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 y)) x)) (+.f64 (sqrt.f64 y) (.f64 (+.f64 (.f64 -3/16 (sqrt.f64 (/.f64 1 (pow.f64 y 3)))) (.f64 1/16 (sqrt.f64 (/.f64 1 (pow.f64 y 3))))) (pow.f64 x 2)))))
(fma.f64 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 y 5))) 1/16) (pow.f64 x 3) (+.f64 (fma.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 y)) x) (sqrt.f64 y)) (.f64 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 y 3))) -1/8) (*.f64 x x))))
(fma.f64 (.f64 1/16 (sqrt.f64 (/.f64 1 (pow.f64 y 5)))) (pow.f64 x 3) (fma.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 y)) x) (fma.f64 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 y 3))) -1/8) (.f64 x x) (sqrt.f64 y))))
(sqrt.f64 x)
(+.f64 (sqrt.f64 x) (.f64 1/2 (.f64 y (sqrt.f64 (/.f64 1 x)))))
(fma.f64 1/2 (*.f64 y (sqrt.f64 (/.f64 1 x))) (sqrt.f64 x))
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(+.f64 (fma.f64 1/2 (.f64 (/.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 y)))) 2) y) x) (/.f64 (.f64 (.f64 1/16 (.f64 x x)) (pow.f64 (pow.f64 (exp.f64 1/4) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 y)))) 2)) (.f64 y y))) (fma.f64 2 (.f64 (/.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 y)))) 2) y) (/.f64 (.f64 x (.f64 x -3/32)) y)) (pow.f64 (pow.f64 (exp.f64 1/4) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 y)))) 2)))
(+.f64 (fma.f64 1/2 (.f64 (/.f64 x y) (pow.f64 (.f64 (pow.f64 -1 1/4) (pow.f64 (/.f64 -1 y) -1/4)) 2)) (.f64 (/.f64 1/16 (.f64 y y)) (.f64 (.f64 x x) (pow.f64 (.f64 (pow.f64 -1 1/4) (pow.f64 (/.f64 -1 y) -1/4)) 2)))) (fma.f64 2 (.f64 (.f64 (.f64 (/.f64 x y) (pow.f64 (.f64 (pow.f64 -1 1/4) (pow.f64 (/.f64 -1 y) -1/4)) 2)) (/.f64 x y)) -3/32) (pow.f64 (.f64 (pow.f64 -1 1/4) (pow.f64 (/.f64 -1 y) -1/4)) 2)))
(+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 2 (.f64 (+.f64 (.f64 1/32 (pow.f64 x 3)) (+.f64 (.f64 -1/384 (pow.f64 x 3)) (.f64 -1/12 (pow.f64 x 3)))) (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)))) 2))) (.f64 -1/2 (.f64 (+.f64 (.f64 -1/8 (pow.f64 x 2)) (.f64 1/32 (pow.f64 x 2))) (.f64 x (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)))) 2))))) (pow.f64 y 3))) (+.f64 (.f64 2 (/.f64 (.f64 (+.f64 (.f64 -1/8 (pow.f64 x 2)) (.f64 1/32 (pow.f64 x 2))) (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)))) 2)) (pow.f64 y 2))) (+.f64 (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)))) 2) (+.f64 (.f64 1/16 (/.f64 (.f64 (pow.f64 x 2) (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)))) 2)) (pow.f64 y 2))) (.f64 1/2 (/.f64 (.f64 (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)))) 2) x) y))))))
(fma.f64 -1 (/.f64 (fma.f64 2 (.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (fma.f64 -1 (log.f64 (/.f64 -1 y)) (log.f64 -1))) 2) (fma.f64 1/32 (pow.f64 x 3) (.f64 (pow.f64 x 3) -11/128))) (.f64 -1/2 (.f64 (.f64 (.f64 x x) -3/32) (.f64 x (pow.f64 (pow.f64 (exp.f64 1/4) (fma.f64 -1 (log.f64 (/.f64 -1 y)) (log.f64 -1))) 2))))) (pow.f64 y 3)) (fma.f64 2 (/.f64 (.f64 (.f64 x x) -3/32) (/.f64 (.f64 y y) (pow.f64 (pow.f64 (exp.f64 1/4) (fma.f64 -1 (log.f64 (/.f64 -1 y)) (log.f64 -1))) 2))) (+.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (fma.f64 -1 (log.f64 (/.f64 -1 y)) (log.f64 -1))) 2) (fma.f64 1/16 (/.f64 (.f64 x x) (/.f64 (.f64 y y) (pow.f64 (pow.f64 (exp.f64 1/4) (fma.f64 -1 (log.f64 (/.f64 -1 y)) (log.f64 -1))) 2))) (*.f64 1/2 (/.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (fma.f64 -1 (log.f64 (/.f64 -1 y)) (log.f64 -1))) 2) (/.f64 y x)))))))
(-.f64 (+.f64 (fma.f64 1/2 (.f64 (/.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 y)))) 2) y) x) (/.f64 (.f64 (.f64 1/16 (.f64 x x)) (pow.f64 (pow.f64 (exp.f64 1/4) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 y)))) 2)) (.f64 y y))) (fma.f64 2 (.f64 (/.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 y)))) 2) y) (/.f64 (.f64 x (.f64 x -3/32)) y)) (pow.f64 (pow.f64 (exp.f64 1/4) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 y)))) 2))) (/.f64 (fma.f64 2 (.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 y)))) 2) (.f64 (pow.f64 x 3) -7/128)) (.f64 -1/2 (.f64 (*.f64 (pow.f64 x 3) -3/32) (pow.f64 (pow.f64 (exp.f64 1/4) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 y)))) 2)))) (pow.f64 y 3)))
(+.f64 (fma.f64 1/2 (.f64 (/.f64 x y) (pow.f64 (.f64 (pow.f64 -1 1/4) (pow.f64 (/.f64 -1 y) -1/4)) 2)) (.f64 (/.f64 1/16 (.f64 y y)) (.f64 (.f64 x x) (pow.f64 (.f64 (pow.f64 -1 1/4) (pow.f64 (/.f64 -1 y) -1/4)) 2)))) (-.f64 (fma.f64 2 (.f64 (.f64 (.f64 (/.f64 x y) (pow.f64 (.f64 (pow.f64 -1 1/4) (pow.f64 (/.f64 -1 y) -1/4)) 2)) (/.f64 x y)) -3/32) (pow.f64 (.f64 (pow.f64 -1 1/4) (pow.f64 (/.f64 -1 y) -1/4)) 2)) (/.f64 (.f64 (pow.f64 (.f64 (pow.f64 -1 1/4) (pow.f64 (/.f64 -1 y) -1/4)) 2) (+.f64 (.f64 2 (.f64 (pow.f64 x 3) -7/128)) (.f64 -1/2 (.f64 (pow.f64 x 3) -3/32)))) (pow.f64 y 3))))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (+.f64 x y)))) 1)
(sqrt.f64 (+.f64 y x))
(*.f64 (pow.f64 (+.f64 x y) 1/4) (pow.f64 (+.f64 x y) 1/4))
(sqrt.f64 (+.f64 y x))
(*.f64 (sqrt.f64 (+.f64 x y)) 1)
(sqrt.f64 (+.f64 y x))
(*.f64 1 (sqrt.f64 (+.f64 x y)))
(sqrt.f64 (+.f64 y x))
(.f64 (pow.f64 (+.f64 x y) 1/8) (.f64 (pow.f64 (+.f64 x y) 1/8) (pow.f64 (+.f64 x y) 1/4)))
(sqrt.f64 (+.f64 y x))
(*.f64 (cbrt.f64 (+.f64 x y)) (cbrt.f64 (sqrt.f64 (+.f64 x y))))
(*.f64 (cbrt.f64 (+.f64 y x)) (cbrt.f64 (sqrt.f64 (+.f64 y x))))
(*.f64 (cbrt.f64 (sqrt.f64 (+.f64 x y))) (cbrt.f64 (+.f64 x y)))
(*.f64 (cbrt.f64 (+.f64 y x)) (cbrt.f64 (sqrt.f64 (+.f64 y x))))
(.f64 (cbrt.f64 (sqrt.f64 (+.f64 x y))) (.f64 (cbrt.f64 (pow.f64 (+.f64 x y) 1/4)) (pow.f64 (+.f64 x y) 1/4)))
(.f64 (cbrt.f64 (sqrt.f64 (+.f64 y x))) (.f64 (pow.f64 (+.f64 y x) 1/4) (cbrt.f64 (pow.f64 (+.f64 y x) 1/4))))
(.f64 (pow.f64 (+.f64 y x) 1/4) (.f64 (cbrt.f64 (sqrt.f64 (+.f64 y x))) (cbrt.f64 (pow.f64 (+.f64 y x) 1/4))))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 x y)) 2)) (sqrt.f64 (cbrt.f64 (+.f64 x y))))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 y x)) 2)) (sqrt.f64 (cbrt.f64 (+.f64 y x))))
(*.f64 (fabs.f64 (cbrt.f64 (+.f64 y x))) (sqrt.f64 (cbrt.f64 (+.f64 y x))))
(*.f64 (cbrt.f64 (+.f64 y x)) (sqrt.f64 (cbrt.f64 (+.f64 y x))))
(.f64 (.f64 (pow.f64 (+.f64 x y) 1/4) (pow.f64 (+.f64 x y) 1/8)) (pow.f64 (+.f64 x y) 1/8))
(sqrt.f64 (+.f64 y x))
(.f64 (.f64 (pow.f64 (+.f64 x y) 1/4) (cbrt.f64 (sqrt.f64 (+.f64 x y)))) (cbrt.f64 (pow.f64 (+.f64 x y) 1/4)))
(.f64 (cbrt.f64 (sqrt.f64 (+.f64 y x))) (.f64 (pow.f64 (+.f64 y x) 1/4) (cbrt.f64 (pow.f64 (+.f64 y x) 1/4))))
(.f64 (pow.f64 (+.f64 y x) 1/4) (.f64 (cbrt.f64 (sqrt.f64 (+.f64 y x))) (cbrt.f64 (pow.f64 (+.f64 y x) 1/4))))
(*.f64 (pow.f64 1 1/2) (sqrt.f64 (+.f64 x y)))
(sqrt.f64 (+.f64 y x))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 x y)) 2) 1/2) (pow.f64 (cbrt.f64 (+.f64 x y)) 1/2))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 y x)) 2)) (sqrt.f64 (cbrt.f64 (+.f64 y x))))
(*.f64 (fabs.f64 (cbrt.f64 (+.f64 y x))) (sqrt.f64 (cbrt.f64 (+.f64 y x))))
(*.f64 (cbrt.f64 (+.f64 y x)) (sqrt.f64 (cbrt.f64 (+.f64 y x))))
(/.f64 (sqrt.f64 (-.f64 (.f64 x x) (.f64 y y))) (sqrt.f64 (-.f64 x y)))
(/.f64 (sqrt.f64 (+.f64 (pow.f64 x 3) (pow.f64 y 3))) (sqrt.f64 (fma.f64 x x (*.f64 y (-.f64 y x)))))
(/.f64 (sqrt.f64 (+.f64 (pow.f64 y 3) (pow.f64 x 3))) (sqrt.f64 (fma.f64 x x (*.f64 y (-.f64 y x)))))
(/.f64 (hypot.f64 (pow.f64 x 3/2) (pow.f64 y 3/2)) (sqrt.f64 (fma.f64 x x (*.f64 y (-.f64 y x)))))
(sqrt.f64 (+.f64 x y))
(sqrt.f64 (+.f64 y x))
(fabs.f64 (sqrt.f64 (+.f64 x y)))
(sqrt.f64 (+.f64 y x))
(log.f64 (exp.f64 (sqrt.f64 (+.f64 x y))))
(sqrt.f64 (+.f64 y x))
(log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (+.f64 x y)))))
(sqrt.f64 (+.f64 y x))
(cbrt.f64 (pow.f64 (sqrt.f64 (+.f64 x y)) 3))
(sqrt.f64 (+.f64 y x))
(expm1.f64 (log1p.f64 (sqrt.f64 (+.f64 x y))))
(sqrt.f64 (+.f64 y x))
(hypot.f64 (sqrt.f64 x) (sqrt.f64 y))
(sqrt.f64 (+.f64 y x))
(hypot.f64 (sqrt.f64 y) (sqrt.f64 x))
(sqrt.f64 (+.f64 y x))
(exp.f64 (log.f64 (sqrt.f64 (+.f64 x y))))
(sqrt.f64 (+.f64 y x))
(exp.f64 (*.f64 (log.f64 (+.f64 x y)) 1/2))
(sqrt.f64 (+.f64 y x))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 x y))) 1))
(sqrt.f64 (+.f64 y x))
(log1p.f64 (expm1.f64 (sqrt.f64 (+.f64 x y))))
(sqrt.f64 (+.f64 y x))

eval194.0ms (11.2%)

Compiler: Compiled 6829 to 4968 computations (27.3% saved)

prune50.0ms (2.9%)

Pruning

4 alts after pruning (0 fresh and 4 done)

	Pruned	Kept	Total
New	245	0	245
Fresh	0	0	0
Picked	0	1	1
Done	0	3	3
Total	245	4	249

Error

Counts

249 → 4

Alt Table

Click to see full alt table

Status	Error	Program
✓	0.5b	(pow.f64 (pow.f64 (+.f64 x y) 1/4) 2)
✓	0.0b	(sqrt.f64 (+.f64 x y))
✓	0.9b	(sqrt.f64 y)
✓	22.2b	(cbrt.f64 (pow.f64 (+.f64 y x) 3/2))

Compiler

Compiled 27 to 20 computations (25.9% saved)

regimes20.0ms (1.1%)

Accuracy

Total -22.9b remaining (-293567.4%)

Threshold costs -22.9b (-293567.4%)

Counts

4 → 1

Calls

Call 1

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

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

Calls

4 calls:

7.0ms	x
4.0ms	(+.f64 x y)
4.0ms	(sqrt.f64 (+.f64 x y))
4.0ms	y

Results

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

Compiler

Compiled 38 to 24 computations (36.8% saved)

simplify4.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

2×	`+-commutative`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	16
1	9	16

Stop Event

1×	done
1×	saturated

Calls

Call 1

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

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

Compiler

Compiled 10 to 7 computations (30% saved)

soundness0.0ms (0%)

end16.0ms (0.9%)

Remove: (sort x y)
Compiler: Compiled 20 to 13 computations (35% saved)

Details

analyze47.0ms (2.7%)

sample714.0ms (41.2%)

preprocess15.0ms (0.9%)

simplify12.0ms (0.7%)

eval0.0ms (0%)

prune1.0ms (0%)

localize7.0ms (0.4%)

series2.0ms (0.1%)

rewrite52.0ms (3%)

simplify60.0ms (3.5%)

eval19.0ms (1.1%)

prune10.0ms (0.6%)

localize11.0ms (0.7%)

series7.0ms (0.4%)

rewrite60.0ms (3.5%)

simplify254.0ms (14.7%)

localize2.0ms (0.1%)

localize11.0ms (0.6%)

series7.0ms (0.4%)

rewrite65.0ms (3.7%)

simplify89.0ms (5.1%)

eval194.0ms (11.2%)

prune50.0ms (2.9%)

regimes20.0ms (1.1%)

simplify4.0ms (0.2%)

soundness0.0ms (0%)

end16.0ms (0.9%)

Profiling