Details

analyze157.0ms (3.4%)

Algorithm

1×

Search

True	Other	False	Iter
0%	99.9%	0.1%	0
0%	99.9%	0.1%	1
0%	99.9%	0.1%	2
0%	99.9%	0.1%	3
0%	99.9%	0.1%	4
12.5%	87.4%	0.1%	5
18.7%	81.2%	0.1%	6
46.8%	53.1%	0.1%	7
54.6%	45.3%	0.1%	8
71%	28.9%	0.1%	9
76.1%	23.8%	0.1%	10
84.9%	15%	0.1%	11
87.7%	12.2%	0.1%	12
92.2%	7.7%	0.1%	13
93.7%	6.2%	0.1%	14

Compiler

Compiled 10 to 7 computations (30% saved)

sample847.0ms (18.1%)

Results

832.0ms	8254×	body	128	valid
0.0ms	1×	body	1024	valid
0.0ms	1×	body	256	valid

preprocess18.0ms (0.4%)

Algorithm

2×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	20
1	15	20
0	2	2

Stop Event

1×	saturated
1×	saturated

Calls

Call 1

Inputs
0
1

Outputs
0
1

Call 2

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

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

Compiler

Compiled 9 to 6 computations (33.3% saved)

simplify6.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	10
1	11	10

Stop Event

1×

saturated

Counts

1 → 1

Calls

Call 1

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

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

eval0.0ms (0%)

Compiler: Compiled 9 to 6 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	(/.f64 (+.f64 x y) (+.f64 y 1))

Compiler

Compiled 18 to 12 computations (33.3% saved)

localize4.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

series5.0ms (0.1%)

Counts

1 → 24

Calls

6 calls:

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

rewrite41.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

874×	`log1p-expm1-u_binary64`
874×	`expm1-log1p-u_binary64`
83×	`add-sqr-sqrt_binary64`
81×	`*-un-lft-identity_binary64`
81×	`pow1_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	10
1	157	10
2	2307	10

Stop Event

1×	node limit

Counts

1 → 35

Calls

Call 1

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

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

Outputs

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

simplify27.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

269×	`sub-neg_binary64`
244×	`fma-neg_binary64`
227×	`associate-+l+_binary64`
209×	`unsub-neg_binary64`
197×	`associate-l_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	53	408
1	155	406
2	498	362
3	2098	350

Stop Event

1×	node limit

Counts

59 → 58

Calls

Call 1

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

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

eval16.0ms (0.3%)

Compiler: Compiled 751 to 446 computations (40.6% saved)

prune50.0ms (1.1%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	55	3	58
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	56	3	59

Error

Counts

59 → 3

Alt Table

Click to see full alt table

Status	Error	Program
▶	0.0b	(+.f64 (/.f64 y (+.f64 1 y)) (/.f64 x (+.f64 1 y)))
	17.4b	(*.f64 (/.f64 1 (sqrt.f64 (+.f64 y 1))) (/.f64 (+.f64 x y) (sqrt.f64 (+.f64 y 1))))
	0.1b	(*.f64 (neg.f64 (+.f64 x y)) (/.f64 1 (+.f64 (neg.f64 y) -1)))

Compiler

Compiled 86 to 64 computations (25.6% saved)

localize5.0ms (0.1%)

Local error

Found 3 expressions with local error:

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

series9.0ms (0.2%)

Counts

3 → 39

Calls

15 calls:

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

rewrite64.0ms (1.4%)

Algorithm

1×	batch-egg-rewrite

Rules

496×	`fma-def_binary64`
243×	`fma-neg_binary64`
227×	`log-div_binary64`
171×	`expm1-udef_binary64`
171×	`log1p-udef_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	8	30
1	185	27
2	2998	27

Stop Event

1×	node limit

Counts

3 → 164

Calls

Call 1

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

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

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

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

simplify37.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

849×	`fma-neg_binary64`
421×	`times-frac_binary64`
388×	`fma-def_binary64`
382×	`sub-neg_binary64`
249×	`associate-+l+_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	81	602
1	254	571
2	768	511
3	3002	510

Stop Event

1×	node limit

Counts

203 → 211

Calls

Call 1

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

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

eval74.0ms (1.6%)

Compiler: Compiled 3669 to 2430 computations (33.8% saved)

prune667.0ms (14.3%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	209	2	211
Fresh	2	0	2
Picked	0	1	1
Done	0	0	0
Total	211	3	214

Error

Counts

214 → 3

Alt Table

Click to see full alt table

Status

Error

Program

▶

0.1b

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

✓

0.0b

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

8.3b

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

Compiler

Compiled 87 to 61 computations (29.9% saved)

localize6.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.0b	(/.f64 y (+.f64 1 y))
✓	0.0b	(+.f64 (/.f64 y (+.f64 1 y)) (pow.f64 (/.f64 (+.f64 1 y) x) -1))
✓	0.0b	(/.f64 (+.f64 1 y) x)
✓	0.7b	(pow.f64 (/.f64 (+.f64 1 y) x) -1)

series8.0ms (0.2%)

Counts

3 → 60

Calls

18 calls:

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

rewrite63.0ms (1.3%)

Algorithm

1×	batch-egg-rewrite

Rules

405×	`fma-def_binary64`
207×	`fma-neg_binary64`
199×	`log-div_binary64`
194×	`expm1-udef_binary64`
194×	`log1p-udef_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	10	36
1	224	30
2	3263	30

Stop Event

1×	node limit

Counts

3 → 158

Calls

Call 1

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

Outputs

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

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

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

simplify38.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

686×	`fma-neg_binary64`
418×	`times-frac_binary64`
319×	`fma-def_binary64`
315×	`sub-neg_binary64`
307×	`cancel-sign-sub-inv_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	71	789
1	222	767
2	670	709
3	2656	708

Stop Event

1×	node limit

Counts

218 → 197

Calls

Call 1

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

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

eval156.0ms (3.3%)

Compiler: Compiled 4421 to 3050 computations (31% saved)

prune1.0s (21.5%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	244	0	244
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	244	3	247

Error

Counts

247 → 3

Alt Table

Click to see full alt table

Status

Error

Program

✓

0.1b

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

✓

0.0b

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

▶

8.3b

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

Compiler

Compiled 72 to 50 computations (30.6% saved)

localize8.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(/.f64 (+.f64 1 y) y)
✓	0.0b	(*.f64 (+.f64 1 y) (/.f64 (+.f64 1 y) y))
✓	0.1b	(fma.f64 x (/.f64 (+.f64 1 y) y) (+.f64 1 y))
✓	7.8b	(/.f64 (fma.f64 x (/.f64 (+.f64 1 y) y) (+.f64 1 y)) (*.f64 (+.f64 1 y) (/.f64 (+.f64 1 y) y)))

series11.0ms (0.2%)

Counts

4 → 72

Calls

18 calls:

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

rewrite76.0ms (1.6%)

Algorithm

1×	batch-egg-rewrite

Rules

548×	`log-prod_binary64`
218×	`fma-def_binary64`
214×	`prod-diff_binary64`
203×	`log-div_binary64`
179×	`expm1-udef_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	9	63
1	197	57
2	2924	57

Stop Event

1×	node limit

Counts

4 → 197

Calls

Call 1

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

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

simplify57.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

402×	`fma-neg_binary64`
329×	`associate-+l+_binary64`
275×	`associate--r+_binary64`
264×	`fma-def_binary64`
230×	`associate--l+_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	102	1094
1	305	1074
2	1018	908
3	4747	908

Stop Event

1×	node limit

Counts

269 → 251

Calls

Call 1

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

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

eval155.0ms (3.3%)

Compiler: Compiled 7239 to 4893 computations (32.4% saved)

prune1.0s (21.4%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	289	0	289
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	289	3	292

Error

Counts

292 → 3

Alt Table

Click to see full alt table

Status

Error

Program

✓

0.1b

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

✓

0.0b

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

✓

8.3b

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

Compiler

Compiled 50 to 35 computations (30% saved)

regimes18.0ms (0.4%)

Accuracy

Total -25.7b remaining (-219556%)

Threshold costs -25.7b (-219556%)

Counts

6 → 1

Calls

Call 1

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

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

Results

Time	Error	Segments	Branch
7.0ms	0.0b	1	`x`
5.0ms	0.0b	1	`y`
4.0ms	0.0b	1	`(/.f64 (+.f64 x y) (+.f64 y 1))`

Compiler

Compiled 94 to 62 computations (34% saved)

simplify2.0ms (0%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	16
1	12	16

Stop Event

1×

saturated

Calls

Call 1

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

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

end34.0ms (0.7%)

Stop Event

1×

done

Compiler

Compiled 26 to 18 computations (30.8% saved)

Details

analyze157.0ms (3.4%)

sample847.0ms (18.1%)

preprocess18.0ms (0.4%)

simplify6.0ms (0.1%)

eval0.0ms (0%)

prune1.0ms (0%)

localize4.0ms (0.1%)

series5.0ms (0.1%)

rewrite41.0ms (0.9%)

simplify27.0ms (0.6%)

eval16.0ms (0.3%)

prune50.0ms (1.1%)

localize5.0ms (0.1%)

series9.0ms (0.2%)

rewrite64.0ms (1.4%)

simplify37.0ms (0.8%)

eval74.0ms (1.6%)

prune667.0ms (14.3%)

localize6.0ms (0.1%)

series8.0ms (0.2%)

rewrite63.0ms (1.3%)

simplify38.0ms (0.8%)

eval156.0ms (3.3%)

prune1.0s (21.5%)

localize8.0ms (0.2%)

series11.0ms (0.2%)

rewrite76.0ms (1.6%)

simplify57.0ms (1.2%)

eval155.0ms (3.3%)

prune1.0s (21.4%)

regimes18.0ms (0.4%)

simplify2.0ms (0%)

end34.0ms (0.7%)

Profiling