Details

analyze68.0ms (1.7%)

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	99.9%	0.1%	0%	0%	0%	0
0%	0%	99.9%	0.1%	0%	0%	0%	1
0%	0%	99.9%	0.1%	0%	0%	0%	2
0%	0%	99.9%	0.1%	0%	0%	0%	3
0%	0%	99.9%	0.1%	0%	0%	0%	4
12.5%	12.5%	87.4%	0.1%	0%	0%	0%	5
18.8%	18.7%	81.2%	0.1%	0%	0%	0%	6
46.9%	46.8%	53.1%	0.1%	0%	0%	0%	7
54.7%	54.6%	45.3%	0.1%	0%	0%	0%	8
71.1%	71%	28.9%	0.1%	0%	0%	0%	9
76.2%	76.1%	23.8%	0.1%	0%	0%	0%	10
85%	84.9%	15%	0.1%	0%	0%	0%	11
87.8%	87.7%	12.2%	0.1%	0%	0%	0%	12

Compiler

Compiled 10 to 7 computations (30% saved)

sample811.0ms (20.8%)

Results

793.0ms	8254×	body	256	valid
0.0ms	2×	body	1024	valid

Bogosity

preprocess20.0ms (0.5%)

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)

simplify7.0ms (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	@	inf	(/.f64 (+.f64 x y) (+.f64 y 1))
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	y	@	inf	(/.f64 (+.f64 x y) (+.f64 y 1))

rewrite87.0ms (2.2%)

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)))))))

simplify56.0ms (1.4%)

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))))

eval44.0ms (1.1%)

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

prune11.0ms (0.3%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	50	6	56
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	50	7	57

Error

0.0b

Counts

57 → 7

Alt Table

Click to see full alt table

Status	Error	Program
▶	31.8b	(/.f64 x (+.f64 y 1))
✓	0.0b	(/.f64 (+.f64 x y) (+.f64 y 1))
▶	16.6b	(*.f64 (/.f64 (+.f64 x y) (fma.f64 y y -1)) (+.f64 y -1))
	39.7b	1
	39.1b	x
▶	31.3b	(/.f64 y (+.f64 y 1))
▶	32.8b	(+.f64 1 (/.f64 (+.f64 x -1) y))

Compiler

Compiled 52 to 37 computations (28.8% saved)

localize14.0ms (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))
✓	15.9b	(/.f64 (+.f64 x y) (fma.f64 y y -1))

Compiler

Compiled 35 to 17 computations (51.4% saved)

series9.0ms (0.2%)

Counts

2 → 48

Calls

12 calls:

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

rewrite92.0ms (2.4%)

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))) 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Outputs

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simplify61.0ms (1.6%)

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))))

localize8.0ms (0.2%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 21 to 14 computations (33.3% saved)

series26.0ms (0.7%)

Counts

2 → 48

Calls

12 calls:

Time	Variable		Point	Expression
20.0ms	y	@	inf	(/.f64 (+.f64 x -1) y)
1.0ms	x	@	inf	(/.f64 (+.f64 x -1) y)
1.0ms	x	@	0	(+.f64 1 (/.f64 (+.f64 x -1) y))
1.0ms	x	@	-inf	(+.f64 1 (/.f64 (+.f64 x -1) y))
0.0ms	x	@	inf	(+.f64 1 (/.f64 (+.f64 x -1) y))

rewrite95.0ms (2.4%)

Algorithm

1×	batch-egg-rewrite

Rules

967×	`pow1_binary64`
900×	`add-log-exp_binary64`
899×	`log1p-expm1-u_binary64`
899×	`expm1-log1p-u_binary64`
88×	`add-sqr-sqrt_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	17
1	172	17
2	2340	17

Stop Event

1×	node limit

Counts

2 → 63

Calls

Call 1

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

Outputs

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

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

simplify66.0ms (1.7%)

Algorithm

1×	egg-herbie

Rules

179×	`fma-neg_binary64`
178×	`fma-def_binary64`
64×	`cancel-sign-sub-inv_binary64`
52×	`distribute-rgt-in_binary64`
39×	`sub-neg_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	363
1	24	363
2	32	363
3	51	363
4	78	363
5	127	363
6	231	363
7	330	363
8	484	363
9	681	363
10	917	363
11	1003	363
12	1042	363

Stop Event

1×

saturated

Counts

111 → 73

Calls

Call 1

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

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

localize5.0ms (0.1%)

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)

series3.0ms (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	@	inf	(/.f64 x (+.f64 y 1))
0.0ms	y	@	0	(/.f64 x (+.f64 y 1))

rewrite65.0ms (1.7%)

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)))))))

simplify63.0ms (1.6%)

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))))

localize5.0ms (0.1%)

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	@	inf	(/.f64 y (+.f64 y 1))
0.0ms	y	@	0	(/.f64 y (+.f64 y 1))
0.0ms	y	@	-inf	(/.f64 y (+.f64 y 1))

rewrite78.0ms (2%)

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)))))))

simplify62.0ms (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))))

eval169.0ms (4.3%)

Compiler: Compiled 4966 to 3072 computations (38.1% saved)

prune80.0ms (2.1%)

Pruning

10 alts after pruning (6 fresh and 4 done)

	Pruned	Kept	Total
New	328	5	333
Fresh	1	1	2
Picked	0	1	1
Done	1	3	4
Total	330	10	340

Error

0.0b

Counts

340 → 10

Alt Table

Click to see full alt table

Status	Error	Program
	39.1b	x
▶	33.4b	(*.f64 (/.f64 x (fma.f64 y y -1)) (+.f64 y -1))
	39.7b	1
✓	31.8b	(/.f64 x (+.f64 y 1))
✓	0.0b	(/.f64 (+.f64 x y) (+.f64 y 1))
✓	31.3b	(/.f64 y (+.f64 y 1))
▶	55.4b	(/.f64 x y)
▶	39.4b	(-.f64 x (*.f64 x y))
	54.2b	y
✓	32.8b	(+.f64 1 (/.f64 (+.f64 x -1) y))

Compiler

Compiled 65 to 45 computations (30.8% saved)

localize12.0ms (0.3%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	5.2b	(/.f64 x (fma.f64 y y -1))
✓	5.3b	(*.f64 (/.f64 x (fma.f64 y y -1)) (+.f64 y -1))

Compiler

Compiled 28 to 16 computations (42.9% saved)

series7.0ms (0.2%)

Counts

2 → 48

Calls

12 calls:

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

rewrite85.0ms (2.2%)

Algorithm

1×	batch-egg-rewrite

Rules

457×	`log-prod_binary64`
430×	`prod-exp_binary64`
361×	`pow-prod-down_binary64`
345×	`exp-prod_binary64`
279×	`prod-diff_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	8	22
1	178	15
2	2593	15

Stop Event

1×	node limit

Counts

2 → 144

Calls

Call 1

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

Outputs

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

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

simplify67.0ms (1.7%)

Algorithm

1×	egg-herbie

Rules

859×	`fma-neg_binary64`
548×	`times-frac_binary64`
537×	`sub-neg_binary64`
338×	`unswap-sqr_binary64`
281×	`fma-def_binary64`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	57	745
1	166	673
2	499	657
3	1856	603
4	5925	567

Stop Event

1×	node limit

Counts

192 → 177

Calls

Call 1

Inputs
(/.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 1) x) (-.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 1) x) (-.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 1) x) (-.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 1) x) (-.f64 (pow.f64 y 2) 1))
x
(+.f64 (.f64 -1 (.f64 y x)) x)
(+.f64 (.f64 (pow.f64 y 2) x) (+.f64 (.f64 -1 (*.f64 y x)) x))
(+.f64 (.f64 -1 (.f64 (pow.f64 y 3) x)) (+.f64 (.f64 (pow.f64 y 2) x) (+.f64 (.f64 -1 (*.f64 y x)) x)))
(/.f64 x y)
(+.f64 (*.f64 -1 (/.f64 x (pow.f64 y 2))) (/.f64 x y))
(+.f64 (/.f64 x (pow.f64 y 3)) (+.f64 (*.f64 -1 (/.f64 x (pow.f64 y 2))) (/.f64 x y)))
(+.f64 (.f64 -1 (/.f64 x (pow.f64 y 4))) (+.f64 (/.f64 x (pow.f64 y 3)) (+.f64 (.f64 -1 (/.f64 x (pow.f64 y 2))) (/.f64 x y))))
(/.f64 x y)
(+.f64 (*.f64 -1 (/.f64 x (pow.f64 y 2))) (/.f64 x y))
(+.f64 (/.f64 x (pow.f64 y 3)) (+.f64 (*.f64 -1 (/.f64 x (pow.f64 y 2))) (/.f64 x y)))
(+.f64 (.f64 -1 (/.f64 x (pow.f64 y 4))) (+.f64 (/.f64 x (pow.f64 y 3)) (+.f64 (.f64 -1 (/.f64 x (pow.f64 y 2))) (/.f64 x y))))
(/.f64 x (-.f64 (pow.f64 y 2) 1))
(/.f64 x (-.f64 (pow.f64 y 2) 1))
(/.f64 x (-.f64 (pow.f64 y 2) 1))
(/.f64 x (-.f64 (pow.f64 y 2) 1))
(/.f64 x (-.f64 (pow.f64 y 2) 1))
(/.f64 x (-.f64 (pow.f64 y 2) 1))
(/.f64 x (-.f64 (pow.f64 y 2) 1))
(/.f64 x (-.f64 (pow.f64 y 2) 1))
(/.f64 x (-.f64 (pow.f64 y 2) 1))
(/.f64 x (-.f64 (pow.f64 y 2) 1))
(/.f64 x (-.f64 (pow.f64 y 2) 1))
(/.f64 x (-.f64 (pow.f64 y 2) 1))
(*.f64 -1 x)
(+.f64 (.f64 -1 x) (.f64 -1 (*.f64 (pow.f64 y 2) x)))
(+.f64 (.f64 -1 x) (+.f64 (.f64 -1 (.f64 (pow.f64 y 2) x)) (.f64 -1 (*.f64 (pow.f64 y 4) x))))
(+.f64 (.f64 -1 x) (+.f64 (.f64 -1 (.f64 (pow.f64 y 2) x)) (+.f64 (.f64 -1 (.f64 (pow.f64 y 6) x)) (.f64 -1 (*.f64 (pow.f64 y 4) x)))))
(/.f64 x (pow.f64 y 2))
(+.f64 (/.f64 x (pow.f64 y 4)) (/.f64 x (pow.f64 y 2)))
(+.f64 (/.f64 x (pow.f64 y 4)) (+.f64 (/.f64 x (pow.f64 y 6)) (/.f64 x (pow.f64 y 2))))
(+.f64 (/.f64 x (pow.f64 y 4)) (+.f64 (/.f64 x (pow.f64 y 6)) (+.f64 (/.f64 x (pow.f64 y 2)) (/.f64 x (pow.f64 y 8)))))
(/.f64 x (pow.f64 y 2))
(+.f64 (/.f64 x (pow.f64 y 4)) (/.f64 x (pow.f64 y 2)))
(+.f64 (/.f64 x (pow.f64 y 4)) (+.f64 (/.f64 x (pow.f64 y 6)) (/.f64 x (pow.f64 y 2))))
(+.f64 (/.f64 x (pow.f64 y 4)) (+.f64 (/.f64 x (pow.f64 y 6)) (+.f64 (/.f64 x (pow.f64 y 2)) (/.f64 x (pow.f64 y 8)))))

Outputs
(/.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 (-.f64 y 1) (fma.f64 y y -1)) x)
(*.f64 x (/.f64 (+.f64 y -1) (fma.f64 y y -1)))
(*.f64 1 (/.f64 x (+.f64 y 1)))
(/.f64 x (+.f64 y 1))
(/.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 (-.f64 y 1) (fma.f64 y y -1)) x)
(*.f64 x (/.f64 (+.f64 y -1) (fma.f64 y y -1)))
(*.f64 1 (/.f64 x (+.f64 y 1)))
(/.f64 x (+.f64 y 1))
(/.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 (-.f64 y 1) (fma.f64 y y -1)) x)
(*.f64 x (/.f64 (+.f64 y -1) (fma.f64 y y -1)))
(*.f64 1 (/.f64 x (+.f64 y 1)))
(/.f64 x (+.f64 y 1))
(/.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 (-.f64 y 1) (fma.f64 y y -1)) x)
(*.f64 x (/.f64 (+.f64 y -1) (fma.f64 y y -1)))
(*.f64 1 (/.f64 x (+.f64 y 1)))
(/.f64 x (+.f64 y 1))
(/.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 (-.f64 y 1) (fma.f64 y y -1)) x)
(*.f64 x (/.f64 (+.f64 y -1) (fma.f64 y y -1)))
(*.f64 1 (/.f64 x (+.f64 y 1)))
(/.f64 x (+.f64 y 1))
(/.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 (-.f64 y 1) (fma.f64 y y -1)) x)
(*.f64 x (/.f64 (+.f64 y -1) (fma.f64 y y -1)))
(*.f64 1 (/.f64 x (+.f64 y 1)))
(/.f64 x (+.f64 y 1))
(/.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 (-.f64 y 1) (fma.f64 y y -1)) x)
(*.f64 x (/.f64 (+.f64 y -1) (fma.f64 y y -1)))
(*.f64 1 (/.f64 x (+.f64 y 1)))
(/.f64 x (+.f64 y 1))
(/.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 (-.f64 y 1) (fma.f64 y y -1)) x)
(*.f64 x (/.f64 (+.f64 y -1) (fma.f64 y y -1)))
(*.f64 1 (/.f64 x (+.f64 y 1)))
(/.f64 x (+.f64 y 1))
(/.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 (-.f64 y 1) (fma.f64 y y -1)) x)
(*.f64 x (/.f64 (+.f64 y -1) (fma.f64 y y -1)))
(*.f64 1 (/.f64 x (+.f64 y 1)))
(/.f64 x (+.f64 y 1))
(/.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 (-.f64 y 1) (fma.f64 y y -1)) x)
(*.f64 x (/.f64 (+.f64 y -1) (fma.f64 y y -1)))
(*.f64 1 (/.f64 x (+.f64 y 1)))
(/.f64 x (+.f64 y 1))
(/.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 (-.f64 y 1) (fma.f64 y y -1)) x)
(*.f64 x (/.f64 (+.f64 y -1) (fma.f64 y y -1)))
(*.f64 1 (/.f64 x (+.f64 y 1)))
(/.f64 x (+.f64 y 1))
(/.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 (-.f64 y 1) (fma.f64 y y -1)) x)
(*.f64 x (/.f64 (+.f64 y -1) (fma.f64 y y -1)))
(*.f64 1 (/.f64 x (+.f64 y 1)))
(/.f64 x (+.f64 y 1))
x
(+.f64 (.f64 -1 (.f64 y x)) x)
(fma.f64 -1 (*.f64 y x) x)
(-.f64 x (*.f64 y x))
(+.f64 (.f64 (pow.f64 y 2) x) (+.f64 (.f64 -1 (*.f64 y x)) x))
(fma.f64 (.f64 y y) x (fma.f64 -1 (.f64 y x) x))
(fma.f64 x (.f64 y y) (-.f64 x (.f64 y x)))
(fma.f64 x (-.f64 (*.f64 y y) y) x)
(*.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 y x) x)))
(-.f64 (fma.f64 x (.f64 y y) (-.f64 x (.f64 y x))) (*.f64 x (pow.f64 y 3)))
(-.f64 (fma.f64 x (-.f64 (.f64 y y) y) x) (.f64 x (pow.f64 y 3)))
(+.f64 x (.f64 y (.f64 x (-.f64 y (fma.f64 y y 1)))))
(/.f64 x y)
(+.f64 (*.f64 -1 (/.f64 x (pow.f64 y 2))) (/.f64 x y))
(fma.f64 -1 (/.f64 x (*.f64 y y)) (/.f64 x y))
(-.f64 (/.f64 x y) (/.f64 x (*.f64 y y)))
(-.f64 (/.f64 x y) (/.f64 (/.f64 x y) y))
(+.f64 (/.f64 x (pow.f64 y 3)) (+.f64 (*.f64 -1 (/.f64 x (pow.f64 y 2))) (/.f64 x y)))
(+.f64 (fma.f64 -1 (/.f64 x (*.f64 y y)) (/.f64 x y)) (/.f64 x (pow.f64 y 3)))
(+.f64 (/.f64 x y) (-.f64 (/.f64 x (pow.f64 y 3)) (/.f64 x (*.f64 y y))))
(-.f64 (/.f64 x y) (-.f64 (/.f64 (/.f64 x y) y) (/.f64 x (pow.f64 y 3))))
(+.f64 (.f64 -1 (/.f64 x (pow.f64 y 4))) (+.f64 (/.f64 x (pow.f64 y 3)) (+.f64 (.f64 -1 (/.f64 x (pow.f64 y 2))) (/.f64 x y))))
(fma.f64 -1 (/.f64 x (pow.f64 y 4)) (+.f64 (fma.f64 -1 (/.f64 x (*.f64 y y)) (/.f64 x y)) (/.f64 x (pow.f64 y 3))))
(-.f64 (+.f64 (/.f64 x y) (-.f64 (/.f64 x (pow.f64 y 3)) (/.f64 x (*.f64 y y)))) (/.f64 x (pow.f64 y 4)))
(+.f64 (/.f64 x y) (-.f64 (-.f64 (/.f64 x (pow.f64 y 3)) (/.f64 x (*.f64 y y))) (/.f64 x (pow.f64 y 4))))
(+.f64 (-.f64 (/.f64 x y) (/.f64 (/.f64 x y) y)) (-.f64 (/.f64 x (pow.f64 y 3)) (/.f64 x (pow.f64 y 4))))
(/.f64 x y)
(+.f64 (*.f64 -1 (/.f64 x (pow.f64 y 2))) (/.f64 x y))
(fma.f64 -1 (/.f64 x (*.f64 y y)) (/.f64 x y))
(-.f64 (/.f64 x y) (/.f64 x (*.f64 y y)))
(-.f64 (/.f64 x y) (/.f64 (/.f64 x y) y))
(+.f64 (/.f64 x (pow.f64 y 3)) (+.f64 (*.f64 -1 (/.f64 x (pow.f64 y 2))) (/.f64 x y)))
(+.f64 (fma.f64 -1 (/.f64 x (*.f64 y y)) (/.f64 x y)) (/.f64 x (pow.f64 y 3)))
(+.f64 (/.f64 x y) (-.f64 (/.f64 x (pow.f64 y 3)) (/.f64 x (*.f64 y y))))
(-.f64 (/.f64 x y) (-.f64 (/.f64 (/.f64 x y) y) (/.f64 x (pow.f64 y 3))))
(+.f64 (.f64 -1 (/.f64 x (pow.f64 y 4))) (+.f64 (/.f64 x (pow.f64 y 3)) (+.f64 (.f64 -1 (/.f64 x (pow.f64 y 2))) (/.f64 x y))))
(fma.f64 -1 (/.f64 x (pow.f64 y 4)) (+.f64 (fma.f64 -1 (/.f64 x (*.f64 y y)) (/.f64 x y)) (/.f64 x (pow.f64 y 3))))
(-.f64 (+.f64 (/.f64 x y) (-.f64 (/.f64 x (pow.f64 y 3)) (/.f64 x (*.f64 y y)))) (/.f64 x (pow.f64 y 4)))
(+.f64 (/.f64 x y) (-.f64 (-.f64 (/.f64 x (pow.f64 y 3)) (/.f64 x (*.f64 y y))) (/.f64 x (pow.f64 y 4))))
(+.f64 (-.f64 (/.f64 x y) (/.f64 (/.f64 x y) y)) (-.f64 (/.f64 x (pow.f64 y 3)) (/.f64 x (pow.f64 y 4))))
(/.f64 x (-.f64 (pow.f64 y 2) 1))
(/.f64 x (+.f64 (*.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 x (-.f64 (pow.f64 y 2) 1))
(/.f64 x (+.f64 (*.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 x (-.f64 (pow.f64 y 2) 1))
(/.f64 x (+.f64 (*.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 x (-.f64 (pow.f64 y 2) 1))
(/.f64 x (+.f64 (*.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 x (-.f64 (pow.f64 y 2) 1))
(/.f64 x (+.f64 (*.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 x (-.f64 (pow.f64 y 2) 1))
(/.f64 x (+.f64 (*.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 -1 x)
(neg.f64 x)
(+.f64 (.f64 -1 x) (.f64 -1 (*.f64 (pow.f64 y 2) x)))
(fma.f64 -1 x (neg.f64 (.f64 x (.f64 y y))))
(-.f64 (neg.f64 x) (.f64 x (.f64 y y)))
(.f64 x (-.f64 -1 (.f64 y y)))
(*.f64 x (fma.f64 (neg.f64 y) y -1))
(+.f64 (.f64 -1 x) (+.f64 (.f64 -1 (.f64 (pow.f64 y 2) x)) (.f64 -1 (*.f64 (pow.f64 y 4) x))))
(fma.f64 -1 x (.f64 -1 (+.f64 (.f64 x (.f64 y y)) (.f64 x (pow.f64 y 4)))))
(-.f64 (neg.f64 (.f64 x (+.f64 (.f64 y y) (pow.f64 y 4)))) x)
(neg.f64 (fma.f64 x (fma.f64 y y (pow.f64 y 4)) x))
(*.f64 x (-.f64 -1 (fma.f64 y y (pow.f64 y 4))))
(+.f64 (.f64 -1 x) (+.f64 (.f64 -1 (.f64 (pow.f64 y 2) x)) (+.f64 (.f64 -1 (.f64 (pow.f64 y 6) x)) (.f64 -1 (*.f64 (pow.f64 y 4) x)))))
(fma.f64 -1 x (fma.f64 -1 (.f64 x (.f64 y y)) (fma.f64 -1 (.f64 x (pow.f64 y 6)) (neg.f64 (.f64 x (pow.f64 y 4))))))
(-.f64 (-.f64 (neg.f64 (.f64 x (+.f64 (pow.f64 y 6) (pow.f64 y 4)))) (.f64 x (*.f64 y y))) x)
(-.f64 (neg.f64 (fma.f64 x (fma.f64 y y (pow.f64 y 4)) x)) (*.f64 x (pow.f64 y 6)))
(*.f64 x (-.f64 (-.f64 -1 (fma.f64 y y (pow.f64 y 4))) (pow.f64 y 6)))
(*.f64 x (-.f64 -1 (+.f64 (pow.f64 y 6) (fma.f64 y y (pow.f64 y 4)))))
(/.f64 x (pow.f64 y 2))
(/.f64 x (*.f64 y y))
(/.f64 (/.f64 x y) y)
(+.f64 (/.f64 x (pow.f64 y 4)) (/.f64 x (pow.f64 y 2)))
(+.f64 (/.f64 x (*.f64 y y)) (/.f64 x (pow.f64 y 4)))
(+.f64 (/.f64 (/.f64 x y) y) (/.f64 x (pow.f64 y 4)))
(+.f64 (/.f64 x (pow.f64 y 4)) (+.f64 (/.f64 x (pow.f64 y 6)) (/.f64 x (pow.f64 y 2))))
(+.f64 (/.f64 x (pow.f64 y 4)) (+.f64 (/.f64 x (*.f64 y y)) (/.f64 x (pow.f64 y 6))))
(+.f64 (/.f64 x (*.f64 y y)) (+.f64 (/.f64 x (pow.f64 y 4)) (/.f64 x (pow.f64 y 6))))
(+.f64 (/.f64 x (pow.f64 y 4)) (+.f64 (/.f64 (/.f64 x y) y) (/.f64 x (pow.f64 y 6))))
(+.f64 (/.f64 x (pow.f64 y 4)) (+.f64 (/.f64 x (pow.f64 y 6)) (+.f64 (/.f64 x (pow.f64 y 2)) (/.f64 x (pow.f64 y 8)))))
(+.f64 (/.f64 x (pow.f64 y 4)) (+.f64 (/.f64 x (pow.f64 y 6)) (+.f64 (/.f64 x (*.f64 y y)) (/.f64 x (pow.f64 y 8)))))
(+.f64 (/.f64 x (pow.f64 y 6)) (+.f64 (+.f64 (/.f64 x (*.f64 y y)) (/.f64 x (pow.f64 y 8))) (/.f64 x (pow.f64 y 4))))
(+.f64 (/.f64 x (*.f64 y y)) (+.f64 (/.f64 x (pow.f64 y 4)) (+.f64 (/.f64 x (pow.f64 y 6)) (/.f64 x (pow.f64 y 8)))))
(+.f64 (/.f64 (/.f64 x y) y) (+.f64 (/.f64 x (pow.f64 y 4)) (+.f64 (/.f64 x (pow.f64 y 6)) (/.f64 x (pow.f64 y 8)))))
(/.f64 x (pow.f64 y 2))
(/.f64 x (*.f64 y y))
(/.f64 (/.f64 x y) y)
(+.f64 (/.f64 x (pow.f64 y 4)) (/.f64 x (pow.f64 y 2)))
(+.f64 (/.f64 x (*.f64 y y)) (/.f64 x (pow.f64 y 4)))
(+.f64 (/.f64 (/.f64 x y) y) (/.f64 x (pow.f64 y 4)))
(+.f64 (/.f64 x (pow.f64 y 4)) (+.f64 (/.f64 x (pow.f64 y 6)) (/.f64 x (pow.f64 y 2))))
(+.f64 (/.f64 x (pow.f64 y 4)) (+.f64 (/.f64 x (*.f64 y y)) (/.f64 x (pow.f64 y 6))))
(+.f64 (/.f64 x (*.f64 y y)) (+.f64 (/.f64 x (pow.f64 y 4)) (/.f64 x (pow.f64 y 6))))
(+.f64 (/.f64 x (pow.f64 y 4)) (+.f64 (/.f64 (/.f64 x y) y) (/.f64 x (pow.f64 y 6))))
(+.f64 (/.f64 x (pow.f64 y 4)) (+.f64 (/.f64 x (pow.f64 y 6)) (+.f64 (/.f64 x (pow.f64 y 2)) (/.f64 x (pow.f64 y 8)))))
(+.f64 (/.f64 x (pow.f64 y 4)) (+.f64 (/.f64 x (pow.f64 y 6)) (+.f64 (/.f64 x (*.f64 y y)) (/.f64 x (pow.f64 y 8)))))
(+.f64 (/.f64 x (pow.f64 y 6)) (+.f64 (+.f64 (/.f64 x (*.f64 y y)) (/.f64 x (pow.f64 y 8))) (/.f64 x (pow.f64 y 4))))
(+.f64 (/.f64 x (*.f64 y y)) (+.f64 (/.f64 x (pow.f64 y 4)) (+.f64 (/.f64 x (pow.f64 y 6)) (/.f64 x (pow.f64 y 8)))))
(+.f64 (/.f64 (/.f64 x y) y) (+.f64 (/.f64 x (pow.f64 y 4)) (+.f64 (/.f64 x (pow.f64 y 6)) (/.f64 x (pow.f64 y 8)))))

localize5.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.0b	(-.f64 x (*.f64 x y))

Compiler

Compiled 12 to 4 computations (66.7% saved)

series21.0ms (0.5%)

Counts

1 → 24

Calls

6 calls:

Time	Variable		Point	Expression
18.0ms	x	@	0	(-.f64 x (*.f64 x y))
1.0ms	x	@	inf	(-.f64 x (*.f64 x y))
0.0ms	x	@	-inf	(-.f64 x (*.f64 x y))
0.0ms	y	@	-inf	(-.f64 x (*.f64 x y))
0.0ms	y	@	0	(-.f64 x (*.f64 x y))

rewrite54.0ms (1.4%)

Algorithm

1×	batch-egg-rewrite

Rules

649×	`pow1_binary64`
604×	`add-log-exp_binary64`
604×	`log1p-expm1-u_binary64`
604×	`expm1-log1p-u_binary64`
591×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	7
1	113	7
2	1650	7

Stop Event

1×	node limit

Counts

1 → 38

Calls

Call 1

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

Outputs

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

simplify28.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

145×	`fma-def_binary64`
71×	`fma-neg_binary64`
21×	`cancel-sign-sub-inv_binary64`
20×	`associate-r_binary64`
18×	`sub-neg_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	160
1	27	160
2	49	160
3	88	160
4	136	160
5	223	160
6	371	160
7	451	160
8	519	160
9	525	160

Stop Event

1×

saturated

Counts

62 → 46

Calls

Call 1

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

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

localize3.0ms (0.1%)

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

eval148.0ms (3.8%)

Compiler: Compiled 3354 to 1930 computations (42.5% saved)

prune41.0ms (1.1%)

Pruning

10 alts after pruning (3 fresh and 7 done)

	Pruned	Kept	Total
New	223	0	223
Fresh	0	3	3
Picked	0	1	1
Done	0	6	6
Total	223	10	233

Error

0.0b

Counts

233 → 10

Alt Table

Click to see full alt table

Status	Error	Program
	39.1b	x
✓	33.4b	(*.f64 (/.f64 x (fma.f64 y y -1)) (+.f64 y -1))
	39.7b	1
✓	31.8b	(/.f64 x (+.f64 y 1))
✓	0.0b	(/.f64 (+.f64 x y) (+.f64 y 1))
✓	31.3b	(/.f64 y (+.f64 y 1))
✓	55.4b	(/.f64 x y)
✓	39.4b	(-.f64 x (*.f64 x y))
	54.2b	y
✓	32.8b	(+.f64 1 (/.f64 (+.f64 x -1) y))

Compiler

Compiled 65 to 45 computations (30.8% saved)

eval0.0ms (0%)

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

prune5.0ms (0.1%)

Pruning

10 alts after pruning (3 fresh and 7 done)

	Kept	Total
New	0	0
Fresh	3	3
Picked	0	0
Done	7	7
Total	10	10

Error

0.0b

Counts

10 → 10

Alt Table

Click to see full alt table

Status	Error	Program
	39.1b	x
✓	33.4b	(*.f64 (/.f64 x (fma.f64 y y -1)) (+.f64 y -1))
	39.7b	1
✓	31.8b	(/.f64 x (+.f64 y 1))
✓	0.0b	(/.f64 (+.f64 x y) (+.f64 y 1))
✓	31.3b	(/.f64 y (+.f64 y 1))
✓	55.4b	(/.f64 x y)
✓	39.4b	(-.f64 x (*.f64 x y))
	54.2b	y
✓	32.8b	(+.f64 1 (/.f64 (+.f64 x -1) y))

Compiler

Compiled 65 to 45 computations (30.8% saved)

regimes26.0ms (0.7%)

Counts

12 → 1

Calls

Call 1

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

8.0ms	x
8.0ms	(/.f64 (+.f64 x y) (+.f64 y 1))
7.0ms	y

Results

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

Compiler

Compiled 75 to 44 computations (41.3% saved)

regimes87.0ms (2.2%)

Counts

9 → 4

Calls

Call 1

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

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

Calls

2 calls:

54.0ms	y
31.0ms	x

Results

Error	Segments	Branch
14.2b	5	`x`
7.0b	4	`y`

Compiler

Compiled 37 to 22 computations (40.5% saved)

bsearch124.0ms (3.2%)

Algorithm

3×	binary-search

Steps

Time	Left	Right
18.0ms	411729.85051168053	2481307.113624162
17.0ms	5.199114607102118e-66	6.9410597337294444e-46
89.0ms	-5.053978874805354e+19	-11.62750023525451

Compiler

Compiled 14 to 10 computations (28.6% saved)

regimes59.0ms (1.5%)

Counts

8 → 5

Calls

Call 1

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

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

Calls

2 calls:

28.0ms	x
28.0ms	y

Results

Error	Segments	Branch
14.2b	5	`x`
12.9b	5	`y`

Compiler

Compiled 30 to 17 computations (43.3% saved)

bsearch67.0ms (1.7%)

Algorithm

4×	binary-search

Steps

Time	Left	Right
16.0ms	2.221217525788742e+74	8.531529723263043e+82
16.0ms	411729.85051168053	2481307.113624162
17.0ms	5.199114607102118e-66	6.9410597337294444e-46
18.0ms	-5.436887180554249e-19	-6.582655699347714e-22

Compiler

Compiled 14 to 10 computations (28.6% saved)

regimes51.0ms (1.3%)

Counts

7 → 5

Calls

Call 1

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

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

Calls

2 calls:

25.0ms	x
24.0ms	y

Results

Error	Segments	Branch
22.4b	5	`x`
13.7b	5	`y`

Compiler

Compiled 25 to 14 computations (44% saved)

bsearch106.0ms (2.7%)

Algorithm

4×	binary-search

Steps

Time	Left	Right
31.0ms	2.221217525788742e+74	8.531529723263043e+82
30.0ms	2.6443810711227688e-15	5.3386732849096585e-8
28.0ms	5.199114607102118e-66	6.9410597337294444e-46
17.0ms	-4.5632091554398244e+82	-3.3368657729511314e+70

Compiler

Compiled 14 to 10 computations (28.6% saved)

regimes123.0ms (3.1%)

Counts

6 → 4

Calls

Call 1

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

Outputs
1
(-.f64 x (*.f64 x y))
y
1

Calls

2 calls:

81.0ms	x
38.0ms	y

Results

Error	Segments	Branch
29.6b	5	`x`
15.3b	4	`y`

Compiler

Compiled 20 to 11 computations (45% saved)

bsearch172.0ms (4.4%)

Algorithm

3×	binary-search

Steps

Time	Left	Right
97.0ms	2.6443810711227688e-15	5.3386732849096585e-8
45.0ms	5.199114607102118e-66	6.9410597337294444e-46
29.0ms	-11.62750023525451	-0.4546617341759065

Compiler

Compiled 14 to 10 computations (28.6% saved)

regimes92.0ms (2.3%)

Counts

5 → 4

Calls

Call 1

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

Outputs
1
x
y
1

Calls

2 calls:

53.0ms	x
36.0ms	y

Results

Error	Segments	Branch
29.7b	5	`x`
15.4b	4	`y`

Compiler

Compiled 15 to 9 computations (40% saved)

bsearch122.0ms (3.1%)

Algorithm

3×	binary-search

Steps

Time	Left	Right
34.0ms	2.6443810711227688e-15	5.3386732849096585e-8
33.0ms	5.199114607102118e-66	6.9410597337294444e-46
55.0ms	-11.62750023525451	-0.4546617341759065

Compiler

Compiled 14 to 10 computations (28.6% saved)

regimes35.0ms (0.9%)

Accuracy

Total -29.9b remaining (-92.6%)

Threshold costs -29.9b (-92.6%)

Counts

3 → 3

Calls

Call 1

Inputs
1
y
1

Outputs
1
y
1

Calls

2 calls:

21.0ms	y
12.0ms	x

Results

Error	Segments	Branch
39.7b	1	`x`
32.2b	3	`y`

Compiler

Compiled 11 to 8 computations (27.3% saved)

bsearch65.0ms (1.7%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
28.0ms	2.6443810711227688e-15	5.3386732849096585e-8
36.0ms	-5.053978874805354e+19	-11.62750023525451

Compiler

Compiled 14 to 10 computations (28.6% saved)

simplify52.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

8×	`+-commutative_binary64`
4×	`*-commutative_binary64`
4×	`sub-neg_binary64`
3×	`neg-sub0_binary64`
3×	`neg-mul-1_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	48	216
1	60	216
2	70	216
3	76	216
4	80	216
5	81	216

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(/.f64 (+.f64 x y) (+.f64 y 1))
(if (<=.f64 y -50539788748053536768) (+.f64 1 (/.f64 (+.f64 x -1) y)) (if (<=.f64 y 616464734761577/118571099379011784113736688648896417641748464297615937576404566024103044751294464) (/.f64 x (+.f64 y 1)) (if (<=.f64 y 7073464970938547/17179869184) (/.f64 y (+.f64 y 1)) (+.f64 1 (/.f64 (+.f64 x -1) y)))))
(if (<=.f64 y -5645986445560021/10384593717069655257060992658440192) (/.f64 y (+.f64 y 1)) (if (<=.f64 y 616464734761577/118571099379011784113736688648896417641748464297615937576404566024103044751294464) x (if (<=.f64 y 7073464970938547/17179869184) (/.f64 y (+.f64 y 1)) (if (<=.f64 y 222121752578874194091167239834629855969623409803649627883049077346811248640) (/.f64 x (+.f64 y 1)) 1))))
(if (<=.f64 y -45632091554398243513598764564161859836465376071674063711870292313563167120561274880) 1 (if (<=.f64 y 616464734761577/118571099379011784113736688648896417641748464297615937576404566024103044751294464) (/.f64 x (+.f64 y 1)) (if (<=.f64 y 1676075626020473/633825300114114700748351602688) y (if (<=.f64 y 222121752578874194091167239834629855969623409803649627883049077346811248640) (/.f64 x (+.f64 y 1)) 1))))
(if (<=.f64 y -6545700715842821/562949953421312) 1 (if (<=.f64 y 616464734761577/118571099379011784113736688648896417641748464297615937576404566024103044751294464) (-.f64 x (*.f64 x y)) (if (<=.f64 y 1676075626020473/633825300114114700748351602688) y 1)))
(if (<=.f64 y -6545700715842821/562949953421312) 1 (if (<=.f64 y 616464734761577/118571099379011784113736688648896417641748464297615937576404566024103044751294464) x (if (<=.f64 y 1676075626020473/633825300114114700748351602688) y 1)))
(if (<=.f64 y -50539788748053536768) 1 (if (<=.f64 y 1676075626020473/633825300114114700748351602688) y 1))
1

Outputs
(/.f64 (+.f64 x y) (+.f64 y 1))
(if (<=.f64 y -50539788748053536768) (+.f64 1 (/.f64 (+.f64 x -1) y)) (if (<=.f64 y 616464734761577/118571099379011784113736688648896417641748464297615937576404566024103044751294464) (/.f64 x (+.f64 y 1)) (if (<=.f64 y 7073464970938547/17179869184) (/.f64 y (+.f64 y 1)) (+.f64 1 (/.f64 (+.f64 x -1) y)))))
(if (<=.f64 y -5645986445560021/10384593717069655257060992658440192) (/.f64 y (+.f64 y 1)) (if (<=.f64 y 616464734761577/118571099379011784113736688648896417641748464297615937576404566024103044751294464) x (if (<=.f64 y 7073464970938547/17179869184) (/.f64 y (+.f64 y 1)) (if (<=.f64 y 222121752578874194091167239834629855969623409803649627883049077346811248640) (/.f64 x (+.f64 y 1)) 1))))
(if (<=.f64 y -45632091554398243513598764564161859836465376071674063711870292313563167120561274880) 1 (if (<=.f64 y 616464734761577/118571099379011784113736688648896417641748464297615937576404566024103044751294464) (/.f64 x (+.f64 y 1)) (if (<=.f64 y 1676075626020473/633825300114114700748351602688) y (if (<=.f64 y 222121752578874194091167239834629855969623409803649627883049077346811248640) (/.f64 x (+.f64 y 1)) 1))))
(if (<=.f64 y -6545700715842821/562949953421312) 1 (if (<=.f64 y 616464734761577/118571099379011784113736688648896417641748464297615937576404566024103044751294464) (-.f64 x (*.f64 x y)) (if (<=.f64 y 1676075626020473/633825300114114700748351602688) y 1)))
(if (<=.f64 y -6545700715842821/562949953421312) 1 (if (<=.f64 y 616464734761577/118571099379011784113736688648896417641748464297615937576404566024103044751294464) x (if (<=.f64 y 1676075626020473/633825300114114700748351602688) y 1)))
(if (<=.f64 y -50539788748053536768) 1 (if (<=.f64 y 1676075626020473/633825300114114700748351602688) y 1))
1

Compiler

Compiled 169 to 120 computations (29% saved)

soundness0.0ms (0%)

end221.0ms (5.7%)

Compiler: Compiled 155 to 106 computations (31.6% saved)

Iter	Nodes	Cost
0	14	160
1	27	160
2	49	160
3	88	160
4	136	160
5	223	160
6	371	160
7	451	160
8	519	160
9	525	160

Iter	Nodes	Cost
0	14	160
1	27	160
2	49	160
3	88	160
4	136	160
5	223	160
6	371	160
7	451	160
8	519	160
9	525	160

Details

analyze68.0ms (1.7%)

sample811.0ms (20.8%)

preprocess20.0ms (0.5%)

simplify7.0ms (0.2%)

eval0.0ms (0%)

prune1.0ms (0%)

localize7.0ms (0.2%)

series4.0ms (0.1%)

rewrite87.0ms (2.2%)

simplify56.0ms (1.4%)

eval44.0ms (1.1%)

prune11.0ms (0.3%)

localize14.0ms (0.4%)

series9.0ms (0.2%)

rewrite92.0ms (2.4%)

simplify61.0ms (1.6%)

localize8.0ms (0.2%)

series26.0ms (0.7%)

rewrite95.0ms (2.4%)

simplify66.0ms (1.7%)

localize5.0ms (0.1%)

series3.0ms (0.1%)

rewrite65.0ms (1.7%)

simplify63.0ms (1.6%)

localize5.0ms (0.1%)

series1.0ms (0%)

rewrite78.0ms (2%)

simplify62.0ms (1.6%)

eval169.0ms (4.3%)

prune80.0ms (2.1%)

localize12.0ms (0.3%)

series7.0ms (0.2%)

rewrite85.0ms (2.2%)

simplify67.0ms (1.7%)

localize5.0ms (0.1%)

series21.0ms (0.5%)

rewrite54.0ms (1.4%)

simplify28.0ms (0.7%)

localize3.0ms (0.1%)

eval148.0ms (3.8%)

prune41.0ms (1.1%)

eval0.0ms (0%)

prune5.0ms (0.1%)

regimes26.0ms (0.7%)

regimes87.0ms (2.2%)

bsearch124.0ms (3.2%)

regimes59.0ms (1.5%)

bsearch67.0ms (1.7%)

regimes51.0ms (1.3%)

bsearch106.0ms (2.7%)

regimes123.0ms (3.1%)

bsearch172.0ms (4.4%)

regimes92.0ms (2.3%)

bsearch122.0ms (3.1%)

regimes35.0ms (0.9%)

bsearch65.0ms (1.7%)

simplify52.0ms (1.3%)

soundness0.0ms (0%)

end221.0ms (5.7%)

Profiling

Iter	Nodes	Cost
0	14	160
1	27	160
2	49	160
3	88	160
4	136	160
5	223	160
6	371	160
7	451	160
8	519	160
9	525	160