Details

analyze52.0ms (2.2%)

Algorithm

1×

Search

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

Compiler

Compiled 8 to 5 computations (37.5% saved)

sample797.0ms (33.8%)

Results

785.0ms

8256×

body

256

valid

Bogosity

preprocess18.0ms (0.7%)

Algorithm

2×	egg-herbie

Rules

1×	`+-commutative_binary64`

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	saturated
1×	saturated

Calls

Call 1

Inputs
0
1

Outputs
0
1

Call 2

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

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

Compiler

Compiled 9 to 6 computations (33.3% saved)

simplify6.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

1×	`+-commutative_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	7
1	6	7

Stop Event

1×

saturated

Counts

1 → 1

Calls

Call 1

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

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

eval0.0ms (0%)

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

prune1.0ms (0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

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

Error

0.0b

Counts

2 → 1

Alt Table

Click to see full alt table

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

Compiler

Compiled 7 to 4 computations (42.9% saved)

localize6.0ms (0.3%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 12 to 4 computations (66.7% saved)

series4.0ms (0.2%)

Counts

1 → 24

Calls

6 calls:

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

rewrite53.0ms (2.2%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

1 → 33

Calls

Call 1

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

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

Outputs

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

simplify78.0ms (3.3%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 3 (0.0ms)

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

Stop Event

1×	node limit

Counts

57 → 47

Calls

Call 1

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

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

eval10.0ms (0.4%)

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

prune9.0ms (0.4%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	42	5	47
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	42	6	48

Error

Counts

48 → 6

Alt Table

Click to see full alt table

Status	Error	Program
	30.6b	1
✓	0.0b	(/.f64 x (+.f64 x y))
▶	32.9b	(*.f64 (+.f64 (/.f64 (neg.f64 x) y) 1) (/.f64 x y))
▶	32.4b	(/.f64 x y)
▶	13.7b	(exp.f64 (log.f64 (/.f64 x (+.f64 x y))))
▶	31.2b	(-.f64 1 (/.f64 y x))

Compiler

Compiled 43 to 29 computations (32.6% saved)

localize52.0ms (2.2%)

Local error

Found 3 expressions with local error:

New	Error	Program
	0.0b	(/.f64 x (+.f64 x y))
✓	0.9b	(exp.f64 (log.f64 (/.f64 x (+.f64 x y))))
✓	10.0b	(log.f64 (/.f64 x (+.f64 x y)))

Compiler

Compiled 25 to 6 computations (76% saved)

series9.0ms (0.4%)

Counts

2 → 48

Calls

12 calls:

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

rewrite192.0ms (8.2%)

Algorithm

1×	batch-egg-rewrite

Rules

795×	`pow1_binary64`
741×	`add-log-exp_binary64`
741×	`log1p-expm1-u_binary64`
741×	`expm1-log1p-u_binary64`
724×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	16
1	140	16
2	1963	16

Stop Event

1×	node limit

Counts

2 → 72

Calls

Call 1

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

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

Outputs

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

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

simplify53.0ms (2.2%)

Algorithm

1×	egg-herbie

Rules

875×	`times-frac_binary64`
862×	`fma-def_binary64`
418×	`associate-+l+_binary64`
367×	`associate-/r*_binary64`
367×	`associate-/l*_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	135	1216
1	411	1069
2	1601	961

Stop Event

1×	node limit

Counts

120 → 118

Calls

Call 1

Inputs
(+.f64 (log.f64 (/.f64 1 y)) (log.f64 x))
(+.f64 (log.f64 (/.f64 1 y)) (+.f64 (*.f64 -1 (/.f64 x y)) (log.f64 x)))
(+.f64 (log.f64 (/.f64 1 y)) (+.f64 (.f64 1/2 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (+.f64 (.f64 -1 (/.f64 x y)) (log.f64 x))))
(+.f64 (.f64 -1/3 (/.f64 (pow.f64 x 3) (pow.f64 y 3))) (+.f64 (log.f64 (/.f64 1 y)) (+.f64 (.f64 1/2 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (+.f64 (*.f64 -1 (/.f64 x y)) (log.f64 x)))))
(*.f64 -1 (/.f64 y x))
(+.f64 (.f64 1/2 (/.f64 (+.f64 (.f64 -1 (pow.f64 y 2)) (.f64 2 (pow.f64 y 2))) (pow.f64 x 2))) (.f64 -1 (/.f64 y x)))
(+.f64 (.f64 1/2 (/.f64 (+.f64 (.f64 -1 (pow.f64 y 2)) (.f64 2 (pow.f64 y 2))) (pow.f64 x 2))) (+.f64 (.f64 1/6 (/.f64 (+.f64 (.f64 -6 (pow.f64 y 3)) (+.f64 (.f64 6 (pow.f64 y 3)) (.f64 -2 (pow.f64 y 3)))) (pow.f64 x 3))) (.f64 -1 (/.f64 y x))))
(+.f64 (.f64 1/2 (/.f64 (+.f64 (.f64 -1 (pow.f64 y 2)) (.f64 2 (pow.f64 y 2))) (pow.f64 x 2))) (+.f64 (.f64 1/24 (/.f64 (+.f64 (.f64 -12 (pow.f64 y 4)) (+.f64 (.f64 48 (pow.f64 y 4)) (+.f64 (.f64 -24 (pow.f64 y 4)) (.f64 -6 (pow.f64 y 4))))) (pow.f64 x 4))) (+.f64 (.f64 1/6 (/.f64 (+.f64 (.f64 -6 (pow.f64 y 3)) (+.f64 (.f64 6 (pow.f64 y 3)) (.f64 -2 (pow.f64 y 3)))) (pow.f64 x 3))) (*.f64 -1 (/.f64 y x)))))
(*.f64 -1 (/.f64 y x))
(+.f64 (.f64 1/2 (/.f64 (+.f64 (.f64 -1 (pow.f64 y 2)) (.f64 2 (pow.f64 y 2))) (pow.f64 x 2))) (.f64 -1 (/.f64 y x)))
(+.f64 (.f64 1/2 (/.f64 (+.f64 (.f64 -1 (pow.f64 y 2)) (.f64 2 (pow.f64 y 2))) (pow.f64 x 2))) (+.f64 (.f64 -1/6 (/.f64 (+.f64 (.f64 -6 (pow.f64 y 3)) (+.f64 (.f64 6 (pow.f64 y 3)) (.f64 2 (pow.f64 y 3)))) (pow.f64 x 3))) (.f64 -1 (/.f64 y x))))
(+.f64 (.f64 1/2 (/.f64 (+.f64 (.f64 -1 (pow.f64 y 2)) (.f64 2 (pow.f64 y 2))) (pow.f64 x 2))) (+.f64 (.f64 1/24 (/.f64 (+.f64 (.f64 -12 (pow.f64 y 4)) (+.f64 (.f64 48 (pow.f64 y 4)) (+.f64 (.f64 -24 (pow.f64 y 4)) (.f64 -6 (pow.f64 y 4))))) (pow.f64 x 4))) (+.f64 (.f64 -1/6 (/.f64 (+.f64 (.f64 -6 (pow.f64 y 3)) (+.f64 (.f64 6 (pow.f64 y 3)) (.f64 2 (pow.f64 y 3)))) (pow.f64 x 3))) (*.f64 -1 (/.f64 y x)))))
(*.f64 -1 (/.f64 y x))
(+.f64 (.f64 1/2 (/.f64 (pow.f64 y 2) (pow.f64 x 2))) (.f64 -1 (/.f64 y x)))
(+.f64 (.f64 -1/3 (/.f64 (pow.f64 y 3) (pow.f64 x 3))) (+.f64 (.f64 1/2 (/.f64 (pow.f64 y 2) (pow.f64 x 2))) (*.f64 -1 (/.f64 y x))))
(+.f64 (.f64 -1/3 (/.f64 (pow.f64 y 3) (pow.f64 x 3))) (+.f64 (.f64 1/2 (/.f64 (pow.f64 y 2) (pow.f64 x 2))) (+.f64 (.f64 1/4 (/.f64 (pow.f64 y 4) (pow.f64 x 4))) (.f64 -1 (/.f64 y x)))))
(+.f64 (log.f64 (/.f64 1 y)) (log.f64 x))
(+.f64 (log.f64 (/.f64 1 y)) (+.f64 (*.f64 -1 (/.f64 x y)) (log.f64 x)))
(+.f64 (.f64 1/2 (/.f64 (+.f64 (.f64 2 (pow.f64 x 2)) (.f64 -1 (pow.f64 x 2))) (pow.f64 y 2))) (+.f64 (log.f64 (/.f64 1 y)) (+.f64 (.f64 -1 (/.f64 x y)) (log.f64 x))))
(+.f64 (.f64 1/2 (/.f64 (+.f64 (.f64 2 (pow.f64 x 2)) (.f64 -1 (pow.f64 x 2))) (pow.f64 y 2))) (+.f64 (.f64 1/6 (/.f64 (+.f64 (.f64 -2 (pow.f64 x 3)) (+.f64 (.f64 -6 (pow.f64 x 3)) (.f64 6 (pow.f64 x 3)))) (pow.f64 y 3))) (+.f64 (log.f64 (/.f64 1 y)) (+.f64 (.f64 -1 (/.f64 x y)) (log.f64 x)))))
(+.f64 (log.f64 (/.f64 -1 y)) (log.f64 (*.f64 -1 x)))
(+.f64 (log.f64 (/.f64 -1 y)) (+.f64 (log.f64 (.f64 -1 x)) (.f64 -1 (/.f64 x y))))
(+.f64 (.f64 1/2 (/.f64 (+.f64 (.f64 2 (pow.f64 x 2)) (.f64 -1 (pow.f64 x 2))) (pow.f64 y 2))) (+.f64 (log.f64 (/.f64 -1 y)) (+.f64 (log.f64 (.f64 -1 x)) (*.f64 -1 (/.f64 x y)))))
(+.f64 (.f64 1/2 (/.f64 (+.f64 (.f64 2 (pow.f64 x 2)) (.f64 -1 (pow.f64 x 2))) (pow.f64 y 2))) (+.f64 (log.f64 (/.f64 -1 y)) (+.f64 (.f64 -1/6 (/.f64 (+.f64 (.f64 2 (pow.f64 x 3)) (+.f64 (.f64 6 (pow.f64 x 3)) (.f64 -6 (pow.f64 x 3)))) (pow.f64 y 3))) (+.f64 (log.f64 (.f64 -1 x)) (*.f64 -1 (/.f64 x y))))))
(/.f64 x y)
(+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (/.f64 x y))
(+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (+.f64 (/.f64 x y) (/.f64 (pow.f64 x 3) (pow.f64 y 3))))
(+.f64 (.f64 -1 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (+.f64 (.f64 -1 (/.f64 (pow.f64 x 4) (pow.f64 y 4))) (+.f64 (/.f64 x y) (/.f64 (pow.f64 x 3) (pow.f64 y 3)))))
1
(+.f64 1 (*.f64 -1 (/.f64 y x)))
(+.f64 1 (+.f64 (/.f64 (pow.f64 y 2) (pow.f64 x 2)) (*.f64 -1 (/.f64 y x))))
(+.f64 1 (+.f64 (/.f64 (pow.f64 y 2) (pow.f64 x 2)) (+.f64 (.f64 -1 (/.f64 (pow.f64 y 3) (pow.f64 x 3))) (.f64 -1 (/.f64 y x)))))
1
(+.f64 1 (*.f64 -1 (/.f64 y x)))
(+.f64 1 (+.f64 (/.f64 (pow.f64 y 2) (pow.f64 x 2)) (*.f64 -1 (/.f64 y x))))
(+.f64 1 (+.f64 (/.f64 (pow.f64 y 2) (pow.f64 x 2)) (+.f64 (.f64 -1 (/.f64 (pow.f64 y 3) (pow.f64 x 3))) (.f64 -1 (/.f64 y x)))))
1
(+.f64 1 (*.f64 -1 (/.f64 y x)))
(+.f64 1 (+.f64 (/.f64 (pow.f64 y 2) (pow.f64 x 2)) (*.f64 -1 (/.f64 y x))))
(+.f64 1 (+.f64 (/.f64 (pow.f64 y 2) (pow.f64 x 2)) (+.f64 (.f64 -1 (/.f64 (pow.f64 y 3) (pow.f64 x 3))) (.f64 -1 (/.f64 y x)))))
(/.f64 x y)
(+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (/.f64 x y))
(+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (+.f64 (/.f64 x y) (/.f64 (pow.f64 x 3) (pow.f64 y 3))))
(+.f64 (.f64 -1 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (+.f64 (.f64 -1 (/.f64 (pow.f64 x 4) (pow.f64 y 4))) (+.f64 (/.f64 x y) (/.f64 (pow.f64 x 3) (pow.f64 y 3)))))
(/.f64 x y)
(+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (/.f64 x y))
(+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (+.f64 (/.f64 x y) (/.f64 (pow.f64 x 3) (pow.f64 y 3))))
(+.f64 (.f64 -1 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (+.f64 (.f64 -1 (/.f64 (pow.f64 x 4) (pow.f64 y 4))) (+.f64 (/.f64 x y) (/.f64 (pow.f64 x 3) (pow.f64 y 3)))))

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

localize52.0ms (2.2%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 30 to 11 computations (63.3% saved)

series5.0ms (0.2%)

Counts

1 → 24

Calls

6 calls:

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

rewrite60.0ms (2.5%)

Algorithm

1×	batch-egg-rewrite

Rules

851×	`pow1_binary64`
793×	`log1p-expm1-u_binary64`
793×	`expm1-log1p-u_binary64`
792×	`add-log-exp_binary64`
776×	`add-exp-log_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	9	15
1	196	13
2	2977	13

Stop Event

1×	node limit

Counts

1 → 39

Calls

Call 1

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

Outputs

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

simplify68.0ms (2.9%)

Algorithm

1×	egg-herbie

Rules

624×	`associate-/l*_binary64`
590×	`div-sub_binary64`
389×	`associate-/r*_binary64`
326×	`associate-/l/_binary64`
301×	`unswap-sqr_binary64`

Iterations

Useful iterations: 5 (0.0ms)

Iter	Nodes	Cost
0	11	354
1	25	336
2	53	336
3	155	318
4	749	300
5	4753	282
6	7840	282

Stop Event

1×	node limit

Counts

63 → 44

Calls

Call 1

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

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

localize5.0ms (0.2%)

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

localize3.0ms (0.1%)

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

eval117.0ms (5%)

Compiler: Compiled 3157 to 1569 computations (50.3% saved)

prune62.0ms (2.6%)

Pruning

6 alts after pruning (2 fresh and 4 done)

	Pruned	Kept	Total
New	207	2	209
Fresh	1	0	1
Picked	0	1	1
Done	1	3	4
Total	209	6	215

Error

Counts

215 → 6

Alt Table

Click to see full alt table

Status	Error	Program
✓	0.0b	(/.f64 x (+.f64 x y))
✓	32.4b	(/.f64 x y)
✓	13.7b	(exp.f64 (log.f64 (/.f64 x (+.f64 x y))))
▶	32.9b	(*.f64 (/.f64 x y) (-.f64 1 (/.f64 x y)))
	30.6b	1
✓	31.2b	(-.f64 1 (/.f64 y x))

Compiler

Compiled 42 to 27 computations (35.7% saved)

localize8.0ms (0.3%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 22 to 9 computations (59.1% saved)

series3.0ms (0.1%)

Counts

1 → 24

Calls

6 calls:

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

rewrite143.0ms (6.1%)

Algorithm

1×	batch-egg-rewrite

Rules

872×	`pow1_binary64`
813×	`add-log-exp_binary64`
813×	`log1p-expm1-u_binary64`
813×	`expm1-log1p-u_binary64`
797×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	13
1	150	13
2	2103	13

Stop Event

1×	node limit

Counts

1 → 41

Calls

Call 1

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

Outputs

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

simplify70.0ms (3%)

Algorithm

1×	egg-herbie

Rules

624×	`associate-/l*_binary64`
590×	`div-sub_binary64`
389×	`associate-/r*_binary64`
326×	`associate-/l/_binary64`
301×	`unswap-sqr_binary64`

Iterations

Useful iterations: 5 (0.0ms)

Iter	Nodes	Cost
0	11	354
1	25	336
2	53	336
3	155	318
4	749	300
5	4753	282
6	7840	282

Stop Event

1×	node limit

Counts

65 → 46

Calls

Call 1

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

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

eval17.0ms (0.7%)

Compiler: Compiled 667 to 322 computations (51.7% saved)

prune10.0ms (0.4%)

Pruning

6 alts after pruning (1 fresh and 5 done)

	Pruned	Kept	Total
New	46	0	46
Fresh	0	1	1
Picked	0	1	1
Done	0	4	4
Total	46	6	52

Error

Counts

52 → 6

Alt Table

Click to see full alt table

Status	Error	Program
✓	0.0b	(/.f64 x (+.f64 x y))
✓	32.4b	(/.f64 x y)
✓	13.7b	(exp.f64 (log.f64 (/.f64 x (+.f64 x y))))
✓	32.9b	(*.f64 (/.f64 x y) (-.f64 1 (/.f64 x y)))
	30.6b	1
✓	31.2b	(-.f64 1 (/.f64 y x))

Compiler

Compiled 42 to 27 computations (35.7% saved)

eval0.0ms (0%)

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

prune3.0ms (0.1%)

Pruning

6 alts after pruning (1 fresh and 5 done)

	Kept	Total
New	0	0
Fresh	1	1
Picked	0	0
Done	5	5
Total	6	6

Error

Counts

6 → 6

Alt Table

Click to see full alt table

Status	Error	Program
✓	0.0b	(/.f64 x (+.f64 x y))
✓	32.4b	(/.f64 x y)
✓	13.7b	(exp.f64 (log.f64 (/.f64 x (+.f64 x y))))
✓	32.9b	(*.f64 (/.f64 x y) (-.f64 1 (/.f64 x y)))
	30.6b	1
✓	31.2b	(-.f64 1 (/.f64 y x))

Compiler

Compiled 42 to 27 computations (35.7% saved)

regimes30.0ms (1.3%)

Counts

8 → 1

Calls

Call 1

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

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

Calls

3 calls:

11.0ms	y
11.0ms	x
4.0ms	(/.f64 x (+.f64 x y))

Results

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

Compiler

Compiled 56 to 28 computations (50% saved)

regimes120.0ms (5.1%)

Counts

4 → 3

Calls

Call 1

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

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

Calls

2 calls:

82.0ms	x
35.0ms	y

Results

Error	Segments	Branch
16.4b	5	`x`
14.1b	3	`y`

Compiler

Compiled 18 to 12 computations (33.3% saved)

bsearch165.0ms (7%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
136.0ms	1.2179151736416097e+62	1.3776818393059608e+79
29.0ms	-4.5280598707071196e-66	-7.502392043143592e-72

Compiler

Compiled 12 to 8 computations (33.3% saved)

regimes8.0ms (0.3%)

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0.0b (-0%)

Counts

2 → 1

Calls

Call 1

Inputs
1
1

Outputs
1

Calls

2 calls:

3.0ms	y
3.0ms	x

Results

Error	Segments	Branch
30.6b	1	`x`
30.6b	1	`y`

Compiler

Compiled 10 to 8 computations (20% saved)

simplify5.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	29
1	17	29

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs

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

(if (<=.f64 y -4295176295389833/948568795032094272909893509191171341133987714380927500611236528192824358010355712) (/.f64 x y) (if (<=.f64 y 121791517364160972966296409334889124183268223545600662430547968) 1 (/.f64 x y)))

Outputs

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

(if (<=.f64 y -4295176295389833/948568795032094272909893509191171341133987714380927500611236528192824358010355712) (/.f64 x y) (if (<=.f64 y 121791517364160972966296409334889124183268223545600662430547968) 1 (/.f64 x y)))

Compiler

Compiled 27 to 17 computations (37% saved)

soundness0.0ms (0%)

end61.0ms (2.6%)

Compiler: Compiled 23 to 13 computations (43.5% saved)

Details

analyze52.0ms (2.2%)

sample797.0ms (33.8%)

preprocess18.0ms (0.7%)

simplify6.0ms (0.3%)

eval0.0ms (0%)

prune1.0ms (0%)

localize6.0ms (0.3%)

series4.0ms (0.2%)

rewrite53.0ms (2.2%)

simplify78.0ms (3.3%)

eval10.0ms (0.4%)

prune9.0ms (0.4%)

localize52.0ms (2.2%)

series9.0ms (0.4%)

rewrite192.0ms (8.2%)

simplify53.0ms (2.2%)

localize52.0ms (2.2%)

series5.0ms (0.2%)

rewrite60.0ms (2.5%)

simplify68.0ms (2.9%)

localize5.0ms (0.2%)

localize3.0ms (0.1%)

eval117.0ms (5%)

prune62.0ms (2.6%)

localize8.0ms (0.3%)

series3.0ms (0.1%)

rewrite143.0ms (6.1%)

simplify70.0ms (3%)

eval17.0ms (0.7%)

prune10.0ms (0.4%)

eval0.0ms (0%)

prune3.0ms (0.1%)

regimes30.0ms (1.3%)

regimes120.0ms (5.1%)

bsearch165.0ms (7%)

regimes8.0ms (0.3%)

simplify5.0ms (0.2%)

soundness0.0ms (0%)

end61.0ms (2.6%)

Profiling