Details

analyze70.0ms (1.9%)

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

Compiler

Compiled 10 to 7 computations (30% saved)

sample936.0ms (25.6%)

Results

923.0ms	8254×	body	256	valid
0.0ms	1×	body	1024	valid
0.0ms	1×	body	512	valid

preprocess38.0ms (1%)

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 11 to 8 computations (27.3% saved)

simplify8.0ms (0.2%)

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 9 to 6 computations (33.3% saved)

localize7.0ms (0.2%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 18 to 9 computations (50% saved)

series4.0ms (0.1%)

Counts

1 → 24

Calls

6 calls:

Time	Variable		Point	Expression
1.0ms	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))

rewrite58.0ms (1.6%)

Algorithm

1×	batch-egg-rewrite

Rules

936×	`pow1_binary64`
874×	`log1p-expm1-u_binary64`
874×	`expm1-log1p-u_binary64`
873×	`add-log-exp_binary64`
856×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	10
1	157	10
2	2318	10

Stop Event

1×	node limit

Counts

1 → 33

Calls

Call 1

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

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

Outputs

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

simplify67.0ms (1.8%)

Algorithm

1×	egg-herbie

Rules

670×	`unsub-neg_binary64`
628×	`associate-+l-_binary64`
583×	`associate--l+_binary64`
367×	`+-commutative_binary64`
295×	`div-sub_binary64`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	53	408
1	155	406
2	498	362
3	2093	350
4	7242	346

Stop Event

1×	node limit

Counts

57 → 56

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

eval18.0ms (0.5%)

Compiler: Compiled 733 to 446 computations (39.2% saved)

prune11.0ms (0.3%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	51	5	56
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	51	6	57

Error

Counts

57 → 6

Alt Table

Click to see full alt table

Status	Error	Program
✓	0.0b	(/.f64 (+.f64 x y) (+.f64 y 1))
▶	13.9b	(*.f64 (/.f64 (+.f64 x y) (fma.f64 y y -1)) (+.f64 y -1))
	40.0b	x
▶	31.4b	(/.f64 x (+.f64 y 1))
▶	31.6b	(/.f64 y (+.f64 y 1))
	41.6b	1

Compiler

Compiled 43 to 30 computations (30.2% saved)

localize15.0ms (0.4%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.1b	(*.f64 (/.f64 (+.f64 x y) (fma.f64 y y -1)) (+.f64 y -1))
✓	13.4b	(/.f64 (+.f64 x y) (fma.f64 y y -1))

Compiler

Compiled 35 to 17 computations (51.4% saved)

series8.0ms (0.2%)

Counts

2 → 48

Calls

12 calls:

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

rewrite111.0ms (3%)

Algorithm

1×	batch-egg-rewrite

Rules

734×	`prod-diff_binary64`
536×	`log-prod_binary64`
284×	`pow2_binary64`
282×	`fma-def_binary64`
199×	`pow1/3_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	9	28
1	207	21
2	3195	21

Stop Event

1×	node limit

Counts

2 → 122

Calls

Call 1

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

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

Outputs

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

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

simplify71.0ms (1.9%)

Algorithm

1×	egg-herbie

Rules

687×	`associate--l+_binary64`
395×	`times-frac_binary64`
297×	`sub-neg_binary64`
287×	`unsub-neg_binary64`
281×	`associate--r+_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	72	1098
1	215	979
2	687	855
3	3025	680

Stop Event

1×	node limit

Counts

170 → 166

Calls

Call 1

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

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

localize6.0ms (0.2%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 13 to 8 computations (38.5% saved)

series4.0ms (0.1%)

Counts

1 → 24

Calls

6 calls:

Time	Variable		Point	Expression
1.0ms	x	@	inf	(/.f64 x (+.f64 y 1))
1.0ms	x	@	0	(/.f64 x (+.f64 y 1))
1.0ms	x	@	-inf	(/.f64 x (+.f64 y 1))
0.0ms	y	@	0	(/.f64 x (+.f64 y 1))
0.0ms	y	@	inf	(/.f64 x (+.f64 y 1))

rewrite55.0ms (1.5%)

Algorithm

1×	batch-egg-rewrite

Rules

688×	`pow1_binary64`
641×	`log1p-expm1-u_binary64`
641×	`expm1-log1p-u_binary64`
640×	`add-log-exp_binary64`
627×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	7
1	128	7
2	1730	7

Stop Event

1×	node limit

Counts

1 → 33

Calls

Call 1

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

Outputs

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

simplify49.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

681×	`associate-/r*_binary64`
512×	`fma-def_binary64`
395×	`associate-/l/_binary64`
393×	`associate-/l*_binary64`
256×	`distribute-rgt-neg-in_binary64`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	30	281
1	83	269
2	221	263
3	732	252
4	3217	235

Stop Event

1×	node limit

Counts

57 → 48

Calls

Call 1

Inputs
(/.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))
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))))

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

localize6.0ms (0.2%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 12 to 8 computations (33.3% saved)

series1.0ms (0%)

Counts

1 → 12

Calls

3 calls:

Time	Variable		Point	Expression
0.0ms	y	@	0	(/.f64 y (+.f64 y 1))
0.0ms	y	@	inf	(/.f64 y (+.f64 y 1))
0.0ms	y	@	-inf	(/.f64 y (+.f64 y 1))

rewrite63.0ms (1.7%)

Algorithm

1×	batch-egg-rewrite

Rules

599×	`pow1_binary64`
561×	`log1p-expm1-u_binary64`
561×	`expm1-log1p-u_binary64`
560×	`add-log-exp_binary64`
549×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	7
1	109	7
2	1515	7

Stop Event

1×	node limit

Counts

1 → 32

Calls

Call 1

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

Outputs

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

simplify60.0ms (1.6%)

Algorithm

1×	egg-herbie

Rules

430×	`sub-neg_binary64`
334×	`fma-def_binary64`
282×	`distribute-neg-frac_binary64`
251×	`unsub-neg_binary64`
231×	`associate-/r*_binary64`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	26	143
1	69	138
2	175	134
3	533	131
4	2343	130
5	6325	130

Stop Event

1×	node limit

Counts

44 → 46

Calls

Call 1

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

eval129.0ms (3.5%)

Compiler: Compiled 4048 to 2374 computations (41.4% saved)

prune38.0ms (1%)

Pruning

8 alts after pruning (5 fresh and 3 done)

	Pruned	Kept	Total
New	255	5	260
Fresh	2	0	2
Picked	0	1	1
Done	1	2	3
Total	258	8	266

Error

Counts

266 → 8

Alt Table

Click to see full alt table

Status	Error	Program
✓	0.0b	(/.f64 (+.f64 x y) (+.f64 y 1))
▶	53.8b	(/.f64 x y)
✓	31.4b	(/.f64 x (+.f64 y 1))
✓	31.6b	(/.f64 y (+.f64 y 1))
	40.0b	x
▶	42.7b	(*.f64 (/.f64 y (fma.f64 y y -1)) (+.f64 y -1))
	52.9b	y
	41.6b	1

Compiler

Compiled 49 to 34 computations (30.6% saved)

localize60.0ms (1.7%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.1b	(*.f64 (/.f64 y (fma.f64 y y -1)) (+.f64 y -1))
✓	13.4b	(/.f64 y (fma.f64 y y -1))

Compiler

Compiled 27 to 16 computations (40.7% saved)

series5.0ms (0.1%)

Counts

2 → 24

Calls

6 calls:

Time	Variable		Point	Expression
2.0ms	y	@	inf	(/.f64 y (fma.f64 y y -1))
1.0ms	y	@	0	(/.f64 y (fma.f64 y y -1))
1.0ms	y	@	-inf	(/.f64 y (fma.f64 y y -1))
0.0ms	y	@	0	(*.f64 (/.f64 y (fma.f64 y y -1)) (+.f64 y -1))
0.0ms	y	@	inf	(*.f64 (/.f64 y (fma.f64 y y -1)) (+.f64 y -1))

rewrite74.0ms (2%)

Algorithm

1×	batch-egg-rewrite

Rules

937×	`pow1_binary64`
875×	`add-log-exp_binary64`
875×	`log1p-expm1-u_binary64`
875×	`expm1-log1p-u_binary64`
857×	`add-exp-log_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	7	22
1	159	15
2	2377	15

Stop Event

1×	node limit

Counts

2 → 77

Calls

Call 1

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

Outputs

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

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

simplify91.0ms (2.5%)

Algorithm

1×	egg-herbie

Rules

600×	`fma-def_binary64`
471×	`fma-neg_binary64`
408×	`sub-neg_binary64`
294×	`cancel-sign-sub-inv_binary64`
230×	`distribute-rgt-neg-in_binary64`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	46	337
1	132	326
2	371	320
3	1183	317
4	4483	316

Stop Event

1×	node limit

Counts

101 → 105

Calls

Call 1

Inputs
(*.f64 -1 y)
(+.f64 (.f64 -1 (pow.f64 y 3)) (.f64 -1 y))
(+.f64 (.f64 -1 (pow.f64 y 5)) (+.f64 (.f64 -1 (pow.f64 y 3)) (*.f64 -1 y)))
(+.f64 (.f64 -1 (pow.f64 y 5)) (+.f64 (.f64 -1 (pow.f64 y 3)) (+.f64 (.f64 -1 (pow.f64 y 7)) (.f64 -1 y))))
(/.f64 1 y)
(+.f64 (/.f64 1 y) (/.f64 1 (pow.f64 y 3)))
(+.f64 (/.f64 1 y) (+.f64 (/.f64 1 (pow.f64 y 3)) (/.f64 1 (pow.f64 y 5))))
(+.f64 (/.f64 1 y) (+.f64 (/.f64 1 (pow.f64 y 3)) (+.f64 (/.f64 1 (pow.f64 y 7)) (/.f64 1 (pow.f64 y 5)))))
(/.f64 1 y)
(+.f64 (/.f64 1 y) (/.f64 1 (pow.f64 y 3)))
(+.f64 (/.f64 1 y) (+.f64 (/.f64 1 (pow.f64 y 3)) (/.f64 1 (pow.f64 y 5))))
(+.f64 (/.f64 1 y) (+.f64 (/.f64 1 (pow.f64 y 3)) (+.f64 (/.f64 1 (pow.f64 y 7)) (/.f64 1 (pow.f64 y 5)))))
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
(*.f64 -1 y)
(neg.f64 y)
(+.f64 (.f64 -1 (pow.f64 y 3)) (.f64 -1 y))
(fma.f64 -1 (pow.f64 y 3) (neg.f64 y))
(-.f64 (neg.f64 y) (pow.f64 y 3))
(+.f64 (.f64 -1 (pow.f64 y 5)) (+.f64 (.f64 -1 (pow.f64 y 3)) (*.f64 -1 y)))
(fma.f64 -1 (pow.f64 y 5) (fma.f64 -1 (pow.f64 y 3) (neg.f64 y)))
(-.f64 (-.f64 (neg.f64 y) (pow.f64 y 3)) (pow.f64 y 5))
(neg.f64 (fma.f64 (fma.f64 y y 1) y (pow.f64 y 5)))
(neg.f64 (fma.f64 y (fma.f64 y y 1) (pow.f64 y 5)))
(+.f64 (.f64 -1 (pow.f64 y 5)) (+.f64 (.f64 -1 (pow.f64 y 3)) (+.f64 (.f64 -1 (pow.f64 y 7)) (.f64 -1 y))))
(fma.f64 -1 (pow.f64 y 5) (fma.f64 -1 (pow.f64 y 3) (fma.f64 -1 (pow.f64 y 7) (neg.f64 y))))
(-.f64 (-.f64 (-.f64 (neg.f64 y) (pow.f64 y 7)) (pow.f64 y 3)) (pow.f64 y 5))
(-.f64 (neg.f64 (fma.f64 (fma.f64 y y 1) y (pow.f64 y 5))) (pow.f64 y 7))
(-.f64 (neg.f64 (pow.f64 y 5)) (fma.f64 y (fma.f64 y y 1) (pow.f64 y 7)))
(/.f64 1 y)
(+.f64 (/.f64 1 y) (/.f64 1 (pow.f64 y 3)))
(+.f64 (/.f64 1 y) (+.f64 (/.f64 1 (pow.f64 y 3)) (/.f64 1 (pow.f64 y 5))))
(+.f64 (/.f64 1 (pow.f64 y 3)) (+.f64 (/.f64 1 y) (/.f64 1 (pow.f64 y 5))))
(+.f64 (/.f64 1 y) (+.f64 (/.f64 1 (pow.f64 y 3)) (+.f64 (/.f64 1 (pow.f64 y 7)) (/.f64 1 (pow.f64 y 5)))))
(+.f64 (/.f64 1 y) (+.f64 (/.f64 1 (pow.f64 y 3)) (+.f64 (/.f64 1 (pow.f64 y 5)) (/.f64 1 (pow.f64 y 7)))))
(+.f64 (/.f64 1 y) (+.f64 (+.f64 (/.f64 1 (pow.f64 y 3)) (/.f64 1 (pow.f64 y 5))) (/.f64 1 (pow.f64 y 7))))
(+.f64 (/.f64 1 (pow.f64 y 3)) (+.f64 (/.f64 1 (pow.f64 y 7)) (+.f64 (/.f64 1 y) (/.f64 1 (pow.f64 y 5)))))
(/.f64 1 y)
(+.f64 (/.f64 1 y) (/.f64 1 (pow.f64 y 3)))
(+.f64 (/.f64 1 y) (+.f64 (/.f64 1 (pow.f64 y 3)) (/.f64 1 (pow.f64 y 5))))
(+.f64 (/.f64 1 (pow.f64 y 3)) (+.f64 (/.f64 1 y) (/.f64 1 (pow.f64 y 5))))
(+.f64 (/.f64 1 y) (+.f64 (/.f64 1 (pow.f64 y 3)) (+.f64 (/.f64 1 (pow.f64 y 7)) (/.f64 1 (pow.f64 y 5)))))
(+.f64 (/.f64 1 y) (+.f64 (/.f64 1 (pow.f64 y 3)) (+.f64 (/.f64 1 (pow.f64 y 5)) (/.f64 1 (pow.f64 y 7)))))
(+.f64 (/.f64 1 y) (+.f64 (+.f64 (/.f64 1 (pow.f64 y 3)) (/.f64 1 (pow.f64 y 5))) (/.f64 1 (pow.f64 y 7))))
(+.f64 (/.f64 1 (pow.f64 y 3)) (+.f64 (/.f64 1 (pow.f64 y 7)) (+.f64 (/.f64 1 y) (/.f64 1 (pow.f64 y 5)))))
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 (pow.f64 y 3) (+.f64 y (neg.f64 (pow.f64 y 4)))))
(-.f64 (+.f64 (pow.f64 y 3) (-.f64 y (pow.f64 y 4))) (*.f64 y y))
(-.f64 (*.f64 y (-.f64 (fma.f64 y y 1) y)) (pow.f64 y 4))
(.f64 (fma.f64 y y 1) (-.f64 y (.f64 y y)))
(*.f64 (-.f64 1 y) (+.f64 y (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 1 (/.f64 -1 y)) (/.f64 1 (*.f64 y 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 (+.f64 1 (/.f64 1 (*.f64 y y))) (-.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 1 (+.f64 (/.f64 -1 y) (.f64 (+.f64 1 (/.f64 -1 y)) (/.f64 1 (.f64 y y)))))
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 1 (/.f64 -1 y)) (/.f64 1 (*.f64 y 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 (+.f64 1 (/.f64 1 (*.f64 y y))) (-.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 1 (+.f64 (/.f64 -1 y) (.f64 (+.f64 1 (/.f64 -1 y)) (/.f64 1 (.f64 y y)))))

localize3.0ms (0.1%)

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

eval57.0ms (1.6%)

Compiler: Compiled 1556 to 1018 computations (34.6% saved)

prune35.0ms (1%)

Pruning

8 alts after pruning (3 fresh and 5 done)

	Pruned	Kept	Total
New	103	2	105
Fresh	2	1	3
Picked	0	1	1
Done	0	4	4
Total	105	8	113

Error

Counts

113 → 8

Alt Table

Click to see full alt table

Status	Error	Program
✓	31.6b	(/.f64 y (+.f64 y 1))
	52.9b	y
✓	0.0b	(/.f64 (+.f64 x y) (+.f64 y 1))
✓	53.8b	(/.f64 x y)
	41.6b	1
✓	31.4b	(/.f64 x (+.f64 y 1))
	40.0b	x
✓	42.7b	(*.f64 (/.f64 y (fma.f64 y y -1)) (+.f64 y -1))

Compiler

Compiled 49 to 34 computations (30.6% saved)

eval0.0ms (0%)

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

prune3.0ms (0.1%)

Pruning

8 alts after pruning (3 fresh and 5 done)

	Kept	Total
New	0	0
Fresh	3	3
Picked	0	0
Done	5	5
Total	8	8

Error

Counts

8 → 8

Alt Table

Click to see full alt table

Status	Error	Program
✓	31.6b	(/.f64 y (+.f64 y 1))
	52.9b	y
✓	0.0b	(/.f64 (+.f64 x y) (+.f64 y 1))
✓	53.8b	(/.f64 x y)
	41.6b	1
✓	31.4b	(/.f64 x (+.f64 y 1))
	40.0b	x
✓	42.7b	(*.f64 (/.f64 y (fma.f64 y y -1)) (+.f64 y -1))

Compiler

Compiled 49 to 34 computations (30.6% saved)

regimes67.0ms (1.8%)

Counts

13 → 1

Calls

Call 1

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

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

Calls

3 calls:

41.0ms	x
13.0ms	y
9.0ms	(/.f64 (+.f64 x y) (+.f64 y 1))

Results

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

Compiler

Compiled 66 to 38 computations (42.4% saved)

regimes142.0ms (3.9%)

Counts

10 → 7

Calls

Call 1

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

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

Calls

2 calls:

89.0ms	x
49.0ms	y

Results

Error	Segments	Branch
9.9b	7	`x`
17.9b	3	`y`

Compiler

Compiled 28 to 16 computations (42.9% saved)

bsearch168.0ms (4.6%)

Algorithm

6×	binary-search

Steps

Time	Left	Right
17.0ms	4.451680923676779e+80	1.5227108399020977e+81
53.0ms	117510784.49049416	995024717.8253078
18.0ms	1.2035501638210944e-91	1.7571174525185576e-90
19.0ms	-2.6170813517791727e-69	-2.6996538515499298e-70
17.0ms	-0.026618868455931845	-7.132359063847754e-6
44.0ms	-1.06008253851401e+62	-6.403566116402457e+57

Compiler

Compiled 14 to 10 computations (28.6% saved)

regimes165.0ms (4.5%)

Counts

9 → 11

Calls

Call 1

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

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

Calls

2 calls:

141.0ms	x
22.0ms	y

Results

Error	Segments	Branch
16.1b	11	`x`
19.0b	3	`y`

Compiler

Compiled 23 to 13 computations (43.5% saved)

bsearch381.0ms (10.4%)

Algorithm

10×	binary-search

Steps

Time	Left	Right
30.0ms	4.451680923676779e+80	1.5227108399020977e+81
29.0ms	117510784.49049416	995024717.8253078
28.0ms	1.9237739013501415e-128	1.0092335831441716e-119
33.0ms	8.900300858874475e-253	6.817404850355436e-247
30.0ms	-7.1266350748561e-307	-3.9261308486853995e-307
30.0ms	-8.877735771178301e-297	-8.211254636793978e-299
30.0ms	-3.8313031657488486e-230	-1.9622922933620122e-236
32.0ms	-2.6170813517791727e-69	-2.6996538515499298e-70
32.0ms	-0.026618868455931845	-7.132359063847754e-6
106.0ms	-1.06008253851401e+62	-6.403566116402457e+57

Compiler

Compiled 14 to 10 computations (28.6% saved)

regimes193.0ms (5.3%)

Counts

8 → 3

Calls

Call 1

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

Outputs
1
x
1

Calls

2 calls:

157.0ms	x
33.0ms	y

Results

Error	Segments	Branch
24.5b	11	`x`
20.0b	3	`y`

Compiler

Compiled 18 to 10 computations (44.4% saved)

bsearch89.0ms (2.4%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
57.0ms	0.07489773267549583	25.213549419601623
32.0ms	-6238223.946121859	-0.04226346344244937

Compiler

Compiled 14 to 10 computations (28.6% saved)

regimes112.0ms (3.1%)

Accuracy

Total -29.4b remaining (-89.6%)

Threshold costs -29.4b (-89.6%)

Counts

2 → 3

Calls

Call 1

Inputs
y
1

Outputs
1
y
1

Calls

2 calls:

62.0ms	x
48.0ms	y

Results

Error	Segments	Branch
38.2b	5	`x`
32.8b	3	`y`

Compiler

Compiled 10 to 7 computations (30% saved)

bsearch76.0ms (2.1%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
45.0ms	0.07489773267549583	25.213549419601623
32.0ms	-6238223.946121859	-0.04226346344244937

Compiler

Compiled 14 to 10 computations (28.6% saved)

simplify11.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	54	203
1	58	203

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(/.f64 (+.f64 x y) (+.f64 y 1))
(if (<=.f64 x -106008253851400991395255503844220021033468183516031595690590208) (/.f64 x (+.f64 y 1)) (if (<=.f64 x -491031453938314880/18446744073709551616) (/.f64 y (+.f64 y 1)) (if (<=.f64 x -1301535367814517504/497323236409786642155382248146820840100456150797347717440463976893159497012533375533056) (/.f64 x (+.f64 y 1)) (if (<=.f64 x 2208272507998643/18347988927920572092886567162416695526372519913346248989900710715095383008707878464560148424881005492436992) (/.f64 y (+.f64 y 1)) (if (<=.f64 x 504704976313976448/4294967296) x (if (<=.f64 x 445168092367677888754190096977325510371022134019225454321165925497010424828133376) 1 (/.f64 x (+.f64 y 1))))))))
(if (<=.f64 x -106008253851400991395255503844220021033468183516031595690590208) (/.f64 x (+.f64 y 1)) (if (<=.f64 x -491031453938314880/18446744073709551616) 1 (if (<=.f64 x -1301535367814517504/497323236409786642155382248146820840100456150797347717440463976893159497012533375533056) (/.f64 x (+.f64 y 1)) (if (<=.f64 x -2092825379303555/54624374234151766213262145869588543874209860176411919649966143993970993052202041929903572589539772749766081827581405105732721063150545838738336612780694159737611530891378807262929537318189580490579681412185183043434010607923007170897214483464192) 1 (if (<=.f64 x -6536988528217637/736335108039604595805923406147184530889923370574768772191969612422073040099331944991573923112581267542507986451953227192970402893063850485730703075899286013451337291468249027691733891486704001513279827771740183629161065194874727962517148100775228363421083691764065477590823919364012917984605619526140822066036736) y (if (<=.f64 x -2253823433827795/3162535207926728411757739792483082922649322652564720599326583719178599055749927295186880995334955070237298091629950186115465761521653023076047084374074039217523709754321349396319795433470206505331871369976136641696281366928510823415907864932018118067825157133005605774255209603362976602065411367322593847864182933454585856) 1 (if (<=.f64 x 470198026920544960/528294531135665246352339784916516606518847326036121522127960709026673902556724859474417255887657187894674394993257128678882347559502685537250538978462939576908386683999005084168731517676426441053024232908211188404148028292751561738838396898767036476489538580897737998336) y (if (<=.f64 x 60055383876755448/3121748550315992231381597229793166305748598142664971150859156959625371738819765620120306103063491971159826931121406622895447975679288285306290176) 1 (if (<=.f64 x 504704976313976448/4294967296) x (if (<=.f64 x 445168092367677888754190096977325510371022134019225454321165925497010424828133376) 1 (/.f64 x (+.f64 y 1))))))))))))
(if (<=.f64 y -26792967833717452/4294967296) 1 (if (<=.f64 y 1381619306365985024/18446744073709551616) x 1))
(if (<=.f64 y -26792967833717452/4294967296) 1 (if (<=.f64 y 1381619306365985024/18446744073709551616) y 1))
y

Outputs
(/.f64 (+.f64 x y) (+.f64 y 1))
(if (<=.f64 x -106008253851400991395255503844220021033468183516031595690590208) (/.f64 x (+.f64 y 1)) (if (<=.f64 x -491031453938314880/18446744073709551616) (/.f64 y (+.f64 y 1)) (if (<=.f64 x -1301535367814517504/497323236409786642155382248146820840100456150797347717440463976893159497012533375533056) (/.f64 x (+.f64 y 1)) (if (<=.f64 x 2208272507998643/18347988927920572092886567162416695526372519913346248989900710715095383008707878464560148424881005492436992) (/.f64 y (+.f64 y 1)) (if (<=.f64 x 504704976313976448/4294967296) x (if (<=.f64 x 445168092367677888754190096977325510371022134019225454321165925497010424828133376) 1 (/.f64 x (+.f64 y 1))))))))
(if (<=.f64 x -106008253851400991395255503844220021033468183516031595690590208) (/.f64 x (+.f64 y 1)) (if (<=.f64 x -3836183233893085/144115188075855872) (/.f64 y (+.f64 y 1)) (if (<=.f64 x -5084122530525459/1942668892225729070919461906823518906642406839052139521251812409738904285205208498176) (/.f64 x (+.f64 y 1)) (if (<=.f64 x 2208272507998643/18347988927920572092886567162416695526372519913346248989900710715095383008707878464560148424881005492436992) (/.f64 y (+.f64 y 1)) (if (<=.f64 x 3943007627452941/33554432) x (if (<=.f64 x 445168092367677888754190096977325510371022134019225454321165925497010424828133376) 1 (/.f64 x (+.f64 y 1))))))))
(if (<=.f64 x -106008253851400991395255503844220021033468183516031595690590208) (/.f64 x (+.f64 y 1)) (if (<=.f64 x -491031453938314880/18446744073709551616) 1 (if (<=.f64 x -1301535367814517504/497323236409786642155382248146820840100456150797347717440463976893159497012533375533056) (/.f64 x (+.f64 y 1)) (if (<=.f64 x -2092825379303555/54624374234151766213262145869588543874209860176411919649966143993970993052202041929903572589539772749766081827581405105732721063150545838738336612780694159737611530891378807262929537318189580490579681412185183043434010607923007170897214483464192) 1 (if (<=.f64 x -6536988528217637/736335108039604595805923406147184530889923370574768772191969612422073040099331944991573923112581267542507986451953227192970402893063850485730703075899286013451337291468249027691733891486704001513279827771740183629161065194874727962517148100775228363421083691764065477590823919364012917984605619526140822066036736) y (if (<=.f64 x -2253823433827795/3162535207926728411757739792483082922649322652564720599326583719178599055749927295186880995334955070237298091629950186115465761521653023076047084374074039217523709754321349396319795433470206505331871369976136641696281366928510823415907864932018118067825157133005605774255209603362976602065411367322593847864182933454585856) 1 (if (<=.f64 x 470198026920544960/528294531135665246352339784916516606518847326036121522127960709026673902556724859474417255887657187894674394993257128678882347559502685537250538978462939576908386683999005084168731517676426441053024232908211188404148028292751561738838396898767036476489538580897737998336) y (if (<=.f64 x 60055383876755448/3121748550315992231381597229793166305748598142664971150859156959625371738819765620120306103063491971159826931121406622895447975679288285306290176) 1 (if (<=.f64 x 504704976313976448/4294967296) x (if (<=.f64 x 445168092367677888754190096977325510371022134019225454321165925497010424828133376) 1 (/.f64 x (+.f64 y 1))))))))))))
(if (<=.f64 x -106008253851400991395255503844220021033468183516031595690590208) (/.f64 x (+.f64 y 1)) (if (<=.f64 x -3836183233893085/144115188075855872) 1 (if (<=.f64 x -5084122530525459/1942668892225729070919461906823518906642406839052139521251812409738904285205208498176) (/.f64 x (+.f64 y 1)) (if (<=.f64 x -2092825379303555/54624374234151766213262145869588543874209860176411919649966143993970993052202041929903572589539772749766081827581405105732721063150545838738336612780694159737611530891378807262929537318189580490579681412185183043434010607923007170897214483464192) 1 (if (<=.f64 x -6536988528217637/736335108039604595805923406147184530889923370574768772191969612422073040099331944991573923112581267542507986451953227192970402893063850485730703075899286013451337291468249027691733891486704001513279827771740183629161065194874727962517148100775228363421083691764065477590823919364012917984605619526140822066036736) y (if (<=.f64 x -2253823433827795/3162535207926728411757739792483082922649322652564720599326583719178599055749927295186880995334955070237298091629950186115465761521653023076047084374074039217523709754321349396319795433470206505331871369976136641696281366928510823415907864932018118067825157133005605774255209603362976602065411367322593847864182933454585856) 1 (if (<=.f64 x 7346844170633515/8254602048994769474255309139320571976856989469314398783249386078541779727448825929287769623244643560854287421769642635607536680617229461519539671538483430889193541937484454440136429963694163141453503639190799818814812942074243152169349951543234944945149040326527156224) y (if (<=.f64 x 7506922984594431/390218568789499028922699653724145788218574767833121393857394619953171467352470702515038262882936496394978366390175827861930996959911035663286272) 1 (if (<=.f64 x 3943007627452941/33554432) x (if (<=.f64 x 445168092367677888754190096977325510371022134019225454321165925497010424828133376) 1 (/.f64 x (+.f64 y 1))))))))))))
(if (<=.f64 y -26792967833717452/4294967296) 1 (if (<=.f64 y 1381619306365985024/18446744073709551616) x 1))
(if (<=.f64 y -6698241958429363/1073741824) 1 (if (<=.f64 y 5396950415492129/72057594037927936) x 1))
(if (<=.f64 y -26792967833717452/4294967296) 1 (if (<=.f64 y 1381619306365985024/18446744073709551616) y 1))
(if (<=.f64 y -6698241958429363/1073741824) 1 (if (<=.f64 y 5396950415492129/72057594037927936) y 1))
y

Compiler

Compiled 156 to 110 computations (29.5% saved)

soundness0.0ms (0%)

end89.0ms (2.4%)

Compiler: Compiled 146 to 100 computations (31.5% saved)

Details

analyze70.0ms (1.9%)

sample936.0ms (25.6%)

preprocess38.0ms (1%)

simplify8.0ms (0.2%)

eval0.0ms (0%)

prune1.0ms (0%)

localize7.0ms (0.2%)

series4.0ms (0.1%)

rewrite58.0ms (1.6%)

simplify67.0ms (1.8%)

eval18.0ms (0.5%)

prune11.0ms (0.3%)

localize15.0ms (0.4%)

series8.0ms (0.2%)

rewrite111.0ms (3%)

simplify71.0ms (1.9%)

localize6.0ms (0.2%)

series4.0ms (0.1%)

rewrite55.0ms (1.5%)

simplify49.0ms (1.3%)

localize6.0ms (0.2%)

series1.0ms (0%)

rewrite63.0ms (1.7%)

simplify60.0ms (1.6%)

eval129.0ms (3.5%)

prune38.0ms (1%)

localize60.0ms (1.7%)

series5.0ms (0.1%)

rewrite74.0ms (2%)

simplify91.0ms (2.5%)

localize3.0ms (0.1%)

eval57.0ms (1.6%)

prune35.0ms (1%)

eval0.0ms (0%)

prune3.0ms (0.1%)

regimes67.0ms (1.8%)

regimes142.0ms (3.9%)

bsearch168.0ms (4.6%)

regimes165.0ms (4.5%)

bsearch381.0ms (10.4%)

regimes193.0ms (5.3%)

bsearch89.0ms (2.4%)

regimes112.0ms (3.1%)

bsearch76.0ms (2.1%)

simplify11.0ms (0.3%)

soundness0.0ms (0%)

end89.0ms (2.4%)

Profiling