Details

Time bar (total: 6.1s)

analyze76.0ms (1.2%)

Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
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
0%0%99.9%0.1%0%0%0%5
15.6%15.6%84.3%0.1%0%0%0%6
39.1%39%60.9%0.1%0%0%0%7
51.6%51.5%48.4%0.1%0%0%0%8
66%66%34%0.1%0%0%0%9
73.8%73.8%26.1%0.1%0%0%0%10
82.1%82%17.9%0.1%0%0%0%11
86.4%86.3%13.6%0.1%0%0%0%12
Compiler

Compiled 10 to 6 computations (40% saved)

sample1.2s (19%)

Results
1.2s8256×body256valid
Bogosity

preprocess136.0ms (2.2%)

Algorithm
egg-herbie
Rules
1022×fma-neg_binary64
488×div-sub_binary64
482×times-frac_binary64
312×associate-/l*_binary64
290×cancel-sign-sub-inv_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0920
12220
23420
35420
410420
518420
631120
767620
8193720
9426620
10512120
11519820
12527620
13530620
14533020
15536020
16538620
17556020
022
Stop Event
saturated
saturated
Calls
Call 1
Inputs
0
1
Outputs
0
1
Call 2
Inputs
(/.f64 (-.f64 x y) (+.f64 x y))
(/.f64 (-.f64 y x) (+.f64 y x))
Outputs
(/.f64 (-.f64 x y) (+.f64 x y))
(/.f64 (-.f64 y x) (+.f64 y x))
(/.f64 (-.f64 y x) (+.f64 x y))
Compiler

Compiled 11 to 7 computations (36.4% saved)

simplify123.0ms (2%)

Algorithm
egg-herbie
Rules
801×fma-def_binary64
511×fma-neg_binary64
363×times-frac_binary64
329×div-sub_binary64
148×associate-/l*_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0610
11210
21910
33010
45710
59310
615410
724410
844210
9100710
10244110
11323810
12399110
13403810
14406010
15408010
16408010
Stop Event
saturated
Counts
1 → 1
Calls
Call 1
Inputs
(/.f64 (-.f64 x y) (+.f64 x y))
Outputs
(/.f64 (-.f64 x y) (+.f64 x y))

eval1.0ms (0%)

Compiler

Compiled 9 to 5 computations (44.4% saved)

prune1.0ms (0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022
Error
0.0b
Counts
2 → 1
Alt Table
Click to see full alt table
StatusErrorProgram
0.0b
(/.f64 (-.f64 x y) (+.f64 x y))
Compiler

Compiled 9 to 5 computations (44.4% saved)

localize11.0ms (0.2%)

Local error

Found 1 expressions with local error:

NewErrorProgram
0.0b
(/.f64 (-.f64 x y) (+.f64 x y))
Compiler

Compiled 17 to 5 computations (70.6% saved)

series7.0ms (0.1%)

Counts
1 → 24
Calls

6 calls:

TimeVariablePointExpression
1.0ms
x
@0
(/.f64 (-.f64 x y) (+.f64 x y))
1.0ms
y
@-inf
(/.f64 (-.f64 x y) (+.f64 x y))
1.0ms
x
@inf
(/.f64 (-.f64 x y) (+.f64 x y))
1.0ms
x
@-inf
(/.f64 (-.f64 x y) (+.f64 x y))
1.0ms
y
@inf
(/.f64 (-.f64 x y) (+.f64 x y))

rewrite86.0ms (1.4%)

Algorithm
batch-egg-rewrite
Rules
959×pow1_binary64
898×add-log-exp_binary64
898×log1p-expm1-u_binary64
898×expm1-log1p-u_binary64
78×add-sqr-sqrt_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0610
114310
2230010
Stop Event
node limit
Counts
1 → 36
Calls
Call 1
Inputs
(/.f64 (-.f64 x y) (+.f64 x y))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 x (+.f64 x y)) (neg.f64 (/.f64 y (+.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 x (+.f64 x y)) (/.f64 y (+.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (-.f64 x y) (+.f64 x y)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 x y) (/.f64 1 (+.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (-.f64 x y) (+.f64 x y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (-.f64 x y) (+.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (-.f64 x y) (+.f64 x y))) (cbrt.f64 (pow.f64 (/.f64 (-.f64 x y) (+.f64 x y)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (/.f64 (-.f64 x y) (+.f64 x y)) 2)) (cbrt.f64 (/.f64 (-.f64 x y) (+.f64 x y))))))) (#(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 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (-.f64 x y) (+.f64 x y))) (sqrt.f64 (/.f64 (-.f64 x y) (+.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (-.f64 x y)) (*.f64 (sqrt.f64 (-.f64 x y)) (/.f64 1 (+.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (-.f64 x y)) (/.f64 1 (neg.f64 (+.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 x y)) (-.f64 x y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 x y)) 2) 1) (/.f64 (cbrt.f64 (-.f64 x y)) (+.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (-.f64 x y)) 1) (/.f64 (sqrt.f64 (-.f64 x y)) (+.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 x y)) 2)) (/.f64 (-.f64 x y) (cbrt.f64 (+.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 x y)) 2) (pow.f64 (cbrt.f64 (+.f64 x y)) 2)) (cbrt.f64 (/.f64 (-.f64 x y) (+.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (-.f64 x y)) (pow.f64 (cbrt.f64 (+.f64 x y)) 2)) (/.f64 (sqrt.f64 (-.f64 x y)) (cbrt.f64 (+.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 (+.f64 x y))) (/.f64 (-.f64 x y) (sqrt.f64 (+.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 x y)) 2) (sqrt.f64 (+.f64 x y))) (/.f64 (cbrt.f64 (-.f64 x y)) (sqrt.f64 (+.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (-.f64 x y) (-.f64 (*.f64 x x) (*.f64 y y))) (-.f64 x y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (-.f64 x y) (+.f64 (pow.f64 x 3) (pow.f64 y 3))) (fma.f64 x x (*.f64 y (-.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (-.f64 x y) (+.f64 x y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (-.f64 x y) (+.f64 x y)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (-.f64 x y) (+.f64 x y))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (-.f64 x y) (+.f64 x y))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (+.f64 x y) (-.f64 x y)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (-.f64 x y) (neg.f64 (+.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (-.f64 x y) (+.f64 x y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (-.f64 x y) (+.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (-.f64 x y) (+.f64 x y)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (-.f64 x y) (+.f64 x y)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (-.f64 x y) 3) (pow.f64 (+.f64 x y) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (-.f64 x y) (+.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (-.f64 x y) (+.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (-.f64 x y) (+.f64 x y))))))))

simplify67.0ms (1.1%)

Algorithm
egg-herbie
Rules
546×times-frac_binary64
477×fma-def_binary64
360×div-sub_binary64
325×sub-neg_binary64
320×associate-/l*_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
077507
1256444
2902354
34610354
Stop Event
node limit
Counts
60 → 59
Calls
Call 1
Inputs
-1
(-.f64 (*.f64 2 (/.f64 x y)) 1)
(-.f64 (+.f64 (*.f64 -2 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (*.f64 2 (/.f64 x y))) 1)
(-.f64 (+.f64 (*.f64 -2 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (+.f64 (*.f64 2 (/.f64 (pow.f64 x 3) (pow.f64 y 3))) (*.f64 2 (/.f64 x y)))) 1)
1
(-.f64 (+.f64 1 (*.f64 -1 (/.f64 y x))) (/.f64 y x))
(-.f64 (+.f64 1 (+.f64 (*.f64 -1 (/.f64 (*.f64 y (-.f64 (*.f64 -1 y) y)) (pow.f64 x 2))) (*.f64 -1 (/.f64 y x)))) (/.f64 y x))
(-.f64 (+.f64 (/.f64 (*.f64 (pow.f64 y 2) (-.f64 (*.f64 -1 y) y)) (pow.f64 x 3)) (+.f64 1 (+.f64 (*.f64 -1 (/.f64 (*.f64 y (-.f64 (*.f64 -1 y) y)) (pow.f64 x 2))) (*.f64 -1 (/.f64 y x))))) (/.f64 y x))
1
(-.f64 (+.f64 1 (*.f64 -1 (/.f64 y x))) (/.f64 y x))
(-.f64 (+.f64 1 (+.f64 (*.f64 -1 (/.f64 (*.f64 y (-.f64 (*.f64 -1 y) y)) (pow.f64 x 2))) (*.f64 -1 (/.f64 y x)))) (/.f64 y x))
(-.f64 (+.f64 (/.f64 (*.f64 (pow.f64 y 2) (-.f64 (*.f64 -1 y) y)) (pow.f64 x 3)) (+.f64 1 (+.f64 (*.f64 -1 (/.f64 (*.f64 y (-.f64 (*.f64 -1 y) y)) (pow.f64 x 2))) (*.f64 -1 (/.f64 y x))))) (/.f64 y x))
1
(+.f64 1 (*.f64 -2 (/.f64 y x)))
(+.f64 1 (+.f64 (*.f64 -2 (/.f64 y x)) (*.f64 2 (/.f64 (pow.f64 y 2) (pow.f64 x 2)))))
(+.f64 (*.f64 -2 (/.f64 (pow.f64 y 3) (pow.f64 x 3))) (+.f64 1 (+.f64 (*.f64 -2 (/.f64 y x)) (*.f64 2 (/.f64 (pow.f64 y 2) (pow.f64 x 2))))))
-1
(-.f64 (/.f64 x y) (+.f64 1 (*.f64 -1 (/.f64 x y))))
(-.f64 (+.f64 (/.f64 x y) (*.f64 -1 (/.f64 (*.f64 (-.f64 x (*.f64 -1 x)) x) (pow.f64 y 2)))) (+.f64 1 (*.f64 -1 (/.f64 x y))))
(-.f64 (+.f64 (/.f64 (*.f64 (-.f64 x (*.f64 -1 x)) (pow.f64 x 2)) (pow.f64 y 3)) (+.f64 (/.f64 x y) (*.f64 -1 (/.f64 (*.f64 (-.f64 x (*.f64 -1 x)) x) (pow.f64 y 2))))) (+.f64 1 (*.f64 -1 (/.f64 x y))))
-1
(-.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 x) x) y)) 1)
(-.f64 (+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 x) x) y)) (/.f64 (*.f64 (-.f64 (*.f64 -1 x) x) x) (pow.f64 y 2))) 1)
(-.f64 (+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 x) x) y)) (+.f64 (*.f64 -1 (/.f64 (*.f64 (-.f64 (*.f64 -1 x) x) (pow.f64 x 2)) (pow.f64 y 3))) (/.f64 (*.f64 (-.f64 (*.f64 -1 x) x) x) (pow.f64 y 2)))) 1)
Outputs
-1
(-.f64 (*.f64 2 (/.f64 x y)) 1)
(fma.f64 2 (/.f64 x y) -1)
(-.f64 (+.f64 (*.f64 -2 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (*.f64 2 (/.f64 x y))) 1)
(+.f64 (/.f64 (*.f64 -2 (*.f64 x x)) (*.f64 y y)) (fma.f64 2 (/.f64 x y) -1))
(fma.f64 -2 (*.f64 (/.f64 x y) (/.f64 x y)) (fma.f64 2 (/.f64 x y) -1))
(+.f64 -1 (*.f64 (/.f64 x y) (+.f64 (*.f64 (/.f64 x y) -2) 2)))
(+.f64 -1 (*.f64 (/.f64 x y) (+.f64 2 (*.f64 (/.f64 x y) -2))))
(-.f64 (+.f64 (*.f64 -2 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (+.f64 (*.f64 2 (/.f64 (pow.f64 x 3) (pow.f64 y 3))) (*.f64 2 (/.f64 x y)))) 1)
(+.f64 (fma.f64 -2 (/.f64 (*.f64 x x) (*.f64 y y)) (*.f64 2 (+.f64 (/.f64 (pow.f64 x 3) (pow.f64 y 3)) (/.f64 x y)))) -1)
(fma.f64 -2 (*.f64 (/.f64 x y) (/.f64 x y)) (fma.f64 2 (+.f64 (/.f64 x y) (/.f64 (pow.f64 x 3) (pow.f64 y 3))) -1))
(+.f64 (*.f64 (/.f64 x y) (+.f64 (*.f64 (/.f64 x y) -2) 2)) (fma.f64 2 (pow.f64 (/.f64 x y) 3) -1))
(+.f64 (*.f64 (/.f64 x y) (+.f64 2 (*.f64 (/.f64 x y) -2))) (fma.f64 2 (pow.f64 (/.f64 x y) 3) -1))
1
(-.f64 (+.f64 1 (*.f64 -1 (/.f64 y x))) (/.f64 y x))
(+.f64 1 (-.f64 (/.f64 (neg.f64 y) x) (/.f64 y x)))
(-.f64 (-.f64 1 (/.f64 y x)) (/.f64 y x))
(fma.f64 -2 (/.f64 y x) 1)
(-.f64 (+.f64 1 (+.f64 (*.f64 -1 (/.f64 (*.f64 y (-.f64 (*.f64 -1 y) y)) (pow.f64 x 2))) (*.f64 -1 (/.f64 y x)))) (/.f64 y x))
(+.f64 1 (-.f64 (fma.f64 -1 (/.f64 y (/.f64 (*.f64 x x) (-.f64 (neg.f64 y) y))) (/.f64 (neg.f64 y) x)) (/.f64 y x)))
(-.f64 (-.f64 (-.f64 1 (*.f64 (/.f64 y x) (*.f64 -2 (/.f64 y x)))) (/.f64 y x)) (/.f64 y x))
(fma.f64 2 (/.f64 (*.f64 y y) (*.f64 x x)) (fma.f64 -2 (/.f64 y x) 1))
(fma.f64 2 (/.f64 y (*.f64 x (/.f64 x y))) (fma.f64 -2 (/.f64 y x) 1))
(-.f64 (+.f64 (/.f64 (*.f64 (pow.f64 y 2) (-.f64 (*.f64 -1 y) y)) (pow.f64 x 3)) (+.f64 1 (+.f64 (*.f64 -1 (/.f64 (*.f64 y (-.f64 (*.f64 -1 y) y)) (pow.f64 x 2))) (*.f64 -1 (/.f64 y x))))) (/.f64 y x))
(+.f64 (/.f64 (*.f64 (*.f64 y y) (-.f64 (neg.f64 y) y)) (pow.f64 x 3)) (+.f64 1 (-.f64 (fma.f64 -1 (/.f64 y (/.f64 (*.f64 x x) (-.f64 (neg.f64 y) y))) (/.f64 (neg.f64 y) x)) (/.f64 y x))))
(+.f64 (-.f64 (-.f64 1 (*.f64 (/.f64 y x) (*.f64 -2 (/.f64 y x)))) (/.f64 y x)) (-.f64 (*.f64 -2 (/.f64 (pow.f64 y 3) (pow.f64 x 3))) (/.f64 y x)))
(fma.f64 -2 (pow.f64 (/.f64 y x) 3) (fma.f64 2 (/.f64 (*.f64 y y) (*.f64 x x)) (fma.f64 -2 (/.f64 y x) 1)))
(fma.f64 -2 (pow.f64 (/.f64 y x) 3) (fma.f64 2 (/.f64 y (*.f64 x (/.f64 x y))) (fma.f64 -2 (/.f64 y x) 1)))
1
(-.f64 (+.f64 1 (*.f64 -1 (/.f64 y x))) (/.f64 y x))
(+.f64 1 (-.f64 (/.f64 (neg.f64 y) x) (/.f64 y x)))
(-.f64 (-.f64 1 (/.f64 y x)) (/.f64 y x))
(fma.f64 -2 (/.f64 y x) 1)
(-.f64 (+.f64 1 (+.f64 (*.f64 -1 (/.f64 (*.f64 y (-.f64 (*.f64 -1 y) y)) (pow.f64 x 2))) (*.f64 -1 (/.f64 y x)))) (/.f64 y x))
(+.f64 1 (-.f64 (fma.f64 -1 (/.f64 y (/.f64 (*.f64 x x) (-.f64 (neg.f64 y) y))) (/.f64 (neg.f64 y) x)) (/.f64 y x)))
(-.f64 (-.f64 (-.f64 1 (*.f64 (/.f64 y x) (*.f64 -2 (/.f64 y x)))) (/.f64 y x)) (/.f64 y x))
(fma.f64 2 (/.f64 (*.f64 y y) (*.f64 x x)) (fma.f64 -2 (/.f64 y x) 1))
(fma.f64 2 (/.f64 y (*.f64 x (/.f64 x y))) (fma.f64 -2 (/.f64 y x) 1))
(-.f64 (+.f64 (/.f64 (*.f64 (pow.f64 y 2) (-.f64 (*.f64 -1 y) y)) (pow.f64 x 3)) (+.f64 1 (+.f64 (*.f64 -1 (/.f64 (*.f64 y (-.f64 (*.f64 -1 y) y)) (pow.f64 x 2))) (*.f64 -1 (/.f64 y x))))) (/.f64 y x))
(+.f64 (/.f64 (*.f64 (*.f64 y y) (-.f64 (neg.f64 y) y)) (pow.f64 x 3)) (+.f64 1 (-.f64 (fma.f64 -1 (/.f64 y (/.f64 (*.f64 x x) (-.f64 (neg.f64 y) y))) (/.f64 (neg.f64 y) x)) (/.f64 y x))))
(+.f64 (-.f64 (-.f64 1 (*.f64 (/.f64 y x) (*.f64 -2 (/.f64 y x)))) (/.f64 y x)) (-.f64 (*.f64 -2 (/.f64 (pow.f64 y 3) (pow.f64 x 3))) (/.f64 y x)))
(fma.f64 -2 (pow.f64 (/.f64 y x) 3) (fma.f64 2 (/.f64 (*.f64 y y) (*.f64 x x)) (fma.f64 -2 (/.f64 y x) 1)))
(fma.f64 -2 (pow.f64 (/.f64 y x) 3) (fma.f64 2 (/.f64 y (*.f64 x (/.f64 x y))) (fma.f64 -2 (/.f64 y x) 1)))
1
(+.f64 1 (*.f64 -2 (/.f64 y x)))
(+.f64 1 (-.f64 (/.f64 (neg.f64 y) x) (/.f64 y x)))
(-.f64 (-.f64 1 (/.f64 y x)) (/.f64 y x))
(fma.f64 -2 (/.f64 y x) 1)
(+.f64 1 (+.f64 (*.f64 -2 (/.f64 y x)) (*.f64 2 (/.f64 (pow.f64 y 2) (pow.f64 x 2)))))
(+.f64 1 (-.f64 (fma.f64 -1 (/.f64 y (/.f64 (*.f64 x x) (-.f64 (neg.f64 y) y))) (/.f64 (neg.f64 y) x)) (/.f64 y x)))
(-.f64 (-.f64 (-.f64 1 (*.f64 (/.f64 y x) (*.f64 -2 (/.f64 y x)))) (/.f64 y x)) (/.f64 y x))
(fma.f64 2 (/.f64 (*.f64 y y) (*.f64 x x)) (fma.f64 -2 (/.f64 y x) 1))
(fma.f64 2 (/.f64 y (*.f64 x (/.f64 x y))) (fma.f64 -2 (/.f64 y x) 1))
(+.f64 (*.f64 -2 (/.f64 (pow.f64 y 3) (pow.f64 x 3))) (+.f64 1 (+.f64 (*.f64 -2 (/.f64 y x)) (*.f64 2 (/.f64 (pow.f64 y 2) (pow.f64 x 2))))))
(+.f64 (/.f64 (*.f64 (*.f64 y y) (-.f64 (neg.f64 y) y)) (pow.f64 x 3)) (+.f64 1 (-.f64 (fma.f64 -1 (/.f64 y (/.f64 (*.f64 x x) (-.f64 (neg.f64 y) y))) (/.f64 (neg.f64 y) x)) (/.f64 y x))))
(+.f64 (-.f64 (-.f64 1 (*.f64 (/.f64 y x) (*.f64 -2 (/.f64 y x)))) (/.f64 y x)) (-.f64 (*.f64 -2 (/.f64 (pow.f64 y 3) (pow.f64 x 3))) (/.f64 y x)))
(fma.f64 -2 (pow.f64 (/.f64 y x) 3) (fma.f64 2 (/.f64 (*.f64 y y) (*.f64 x x)) (fma.f64 -2 (/.f64 y x) 1)))
(fma.f64 -2 (pow.f64 (/.f64 y x) 3) (fma.f64 2 (/.f64 y (*.f64 x (/.f64 x y))) (fma.f64 -2 (/.f64 y x) 1)))
-1
(-.f64 (/.f64 x y) (+.f64 1 (*.f64 -1 (/.f64 x y))))
(fma.f64 2 (/.f64 x y) -1)
(-.f64 (+.f64 (/.f64 x y) (*.f64 -1 (/.f64 (*.f64 (-.f64 x (*.f64 -1 x)) x) (pow.f64 y 2)))) (+.f64 1 (*.f64 -1 (/.f64 x y))))
(+.f64 (/.f64 (*.f64 -2 (*.f64 x x)) (*.f64 y y)) (fma.f64 2 (/.f64 x y) -1))
(fma.f64 -2 (*.f64 (/.f64 x y) (/.f64 x y)) (fma.f64 2 (/.f64 x y) -1))
(+.f64 -1 (*.f64 (/.f64 x y) (+.f64 (*.f64 (/.f64 x y) -2) 2)))
(+.f64 -1 (*.f64 (/.f64 x y) (+.f64 2 (*.f64 (/.f64 x y) -2))))
(-.f64 (+.f64 (/.f64 (*.f64 (-.f64 x (*.f64 -1 x)) (pow.f64 x 2)) (pow.f64 y 3)) (+.f64 (/.f64 x y) (*.f64 -1 (/.f64 (*.f64 (-.f64 x (*.f64 -1 x)) x) (pow.f64 y 2))))) (+.f64 1 (*.f64 -1 (/.f64 x y))))
(+.f64 (fma.f64 -2 (/.f64 (*.f64 x x) (*.f64 y y)) (*.f64 2 (+.f64 (/.f64 (pow.f64 x 3) (pow.f64 y 3)) (/.f64 x y)))) -1)
(fma.f64 -2 (*.f64 (/.f64 x y) (/.f64 x y)) (fma.f64 2 (+.f64 (/.f64 x y) (/.f64 (pow.f64 x 3) (pow.f64 y 3))) -1))
(+.f64 (*.f64 (/.f64 x y) (+.f64 (*.f64 (/.f64 x y) -2) 2)) (fma.f64 2 (pow.f64 (/.f64 x y) 3) -1))
(+.f64 (*.f64 (/.f64 x y) (+.f64 2 (*.f64 (/.f64 x y) -2))) (fma.f64 2 (pow.f64 (/.f64 x y) 3) -1))
-1
(-.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 x) x) y)) 1)
(fma.f64 2 (/.f64 x y) -1)
(-.f64 (+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 x) x) y)) (/.f64 (*.f64 (-.f64 (*.f64 -1 x) x) x) (pow.f64 y 2))) 1)
(+.f64 (/.f64 (*.f64 -2 (*.f64 x x)) (*.f64 y y)) (fma.f64 2 (/.f64 x y) -1))
(fma.f64 -2 (*.f64 (/.f64 x y) (/.f64 x y)) (fma.f64 2 (/.f64 x y) -1))
(+.f64 -1 (*.f64 (/.f64 x y) (+.f64 (*.f64 (/.f64 x y) -2) 2)))
(+.f64 -1 (*.f64 (/.f64 x y) (+.f64 2 (*.f64 (/.f64 x y) -2))))
(-.f64 (+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 x) x) y)) (+.f64 (*.f64 -1 (/.f64 (*.f64 (-.f64 (*.f64 -1 x) x) (pow.f64 x 2)) (pow.f64 y 3))) (/.f64 (*.f64 (-.f64 (*.f64 -1 x) x) x) (pow.f64 y 2)))) 1)
(+.f64 (fma.f64 -2 (/.f64 (*.f64 x x) (*.f64 y y)) (*.f64 2 (+.f64 (/.f64 (pow.f64 x 3) (pow.f64 y 3)) (/.f64 x y)))) -1)
(fma.f64 -2 (*.f64 (/.f64 x y) (/.f64 x y)) (fma.f64 2 (+.f64 (/.f64 x y) (/.f64 (pow.f64 x 3) (pow.f64 y 3))) -1))
(+.f64 (*.f64 (/.f64 x y) (+.f64 (*.f64 (/.f64 x y) -2) 2)) (fma.f64 2 (pow.f64 (/.f64 x y) 3) -1))
(+.f64 (*.f64 (/.f64 x y) (+.f64 2 (*.f64 (/.f64 x y) -2))) (fma.f64 2 (pow.f64 (/.f64 x y) 3) -1))

eval15.0ms (0.2%)

Compiler

Compiled 879 to 400 computations (54.5% saved)

prune15.0ms (0.2%)

Pruning

9 alts after pruning (8 fresh and 1 done)

PrunedKeptTotal
New51859
Fresh000
Picked011
Done000
Total51960
Error
0b
Counts
60 → 9
Alt Table
Click to see full alt table
StatusErrorProgram
0.0b
(/.f64 (-.f64 x y) (+.f64 x y))
0.0b
(log1p.f64 (expm1.f64 (/.f64 (-.f64 x y) (+.f64 x y))))
0.0b
(-.f64 (/.f64 x (+.f64 x y)) (/.f64 y (+.f64 x y)))
32.5b
1
31.7b
(+.f64 -1 (*.f64 (/.f64 x y) (+.f64 2 (*.f64 (/.f64 x y) -2))))
31.2b
(-.f64 (*.f64 2 (/.f64 x y)) 1)
32.0b
-1
0.1b
(pow.f64 (cbrt.f64 (/.f64 (-.f64 x y) (+.f64 x y))) 3)
31.9b
(+.f64 1 (*.f64 -2 (/.f64 y x)))
Compiler

Compiled 153 to 101 computations (34% saved)

localize291.0ms (4.7%)

Local error

Found 3 expressions with local error:

NewErrorProgram
0.0b
(/.f64 y (+.f64 x y))
0.0b
(/.f64 x (+.f64 x y))
0.0b
(-.f64 (/.f64 x (+.f64 x y)) (/.f64 y (+.f64 x y)))
Compiler

Compiled 28 to 6 computations (78.6% saved)

series11.0ms (0.2%)

Counts
3 → 72
Calls

18 calls:

TimeVariablePointExpression
3.0ms
y
@inf
(/.f64 y (+.f64 x y))
1.0ms
y
@inf
(-.f64 (/.f64 x (+.f64 x y)) (/.f64 y (+.f64 x y)))
1.0ms
x
@inf
(-.f64 (/.f64 x (+.f64 x y)) (/.f64 y (+.f64 x y)))
1.0ms
y
@-inf
(-.f64 (/.f64 x (+.f64 x y)) (/.f64 y (+.f64 x y)))
1.0ms
x
@0
(-.f64 (/.f64 x (+.f64 x y)) (/.f64 y (+.f64 x y)))

rewrite106.0ms (1.7%)

Algorithm
batch-egg-rewrite
Rules
514×log-prod_binary64
498×fma-def_binary64
387×pow-prod-down_binary64
259×pow2_binary64
256×fma-neg_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0724
117524
2308524
Stop Event
node limit
Counts
3 → 313
Calls
Call 1
Inputs
(-.f64 (/.f64 x (+.f64 x y)) (/.f64 y (+.f64 x y)))
(/.f64 x (+.f64 x y))
(/.f64 y (+.f64 x y))
Outputs
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simplify86.0ms (1.4%)

Algorithm
egg-herbie
Rules
544×fma-def_binary64
500×sub-neg_binary64
409×times-frac_binary64
378×distribute-rgt-neg-in_binary64
295×distribute-neg-frac_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
01021451
13441343
210661140
350751098
Stop Event
node limit
Counts
385 → 365
Calls
Call 1
Inputs
-1
(-.f64 (*.f64 2 (/.f64 x y)) 1)
(-.f64 (+.f64 (*.f64 -2 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (*.f64 2 (/.f64 x y))) 1)
(-.f64 (+.f64 (*.f64 -2 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (+.f64 (*.f64 2 (/.f64 (pow.f64 x 3) (pow.f64 y 3))) (*.f64 2 (/.f64 x y)))) 1)
1
(+.f64 1 (*.f64 -2 (/.f64 y x)))
(-.f64 (+.f64 1 (+.f64 (*.f64 -2 (/.f64 y x)) (/.f64 (pow.f64 y 2) (pow.f64 x 2)))) (*.f64 -1 (/.f64 (pow.f64 y 2) (pow.f64 x 2))))
(-.f64 (+.f64 1 (+.f64 (*.f64 -2 (/.f64 y x)) (+.f64 (/.f64 (pow.f64 y 2) (pow.f64 x 2)) (*.f64 -1 (/.f64 (pow.f64 y 3) (pow.f64 x 3)))))) (+.f64 (/.f64 (pow.f64 y 3) (pow.f64 x 3)) (*.f64 -1 (/.f64 (pow.f64 y 2) (pow.f64 x 2)))))
1
(+.f64 1 (*.f64 -1 (/.f64 (-.f64 y (*.f64 -1 y)) x)))
(+.f64 1 (+.f64 (*.f64 2 (/.f64 (pow.f64 y 2) (pow.f64 x 2))) (*.f64 -1 (/.f64 (-.f64 y (*.f64 -1 y)) x))))
(+.f64 (*.f64 -2 (/.f64 (pow.f64 y 3) (pow.f64 x 3))) (+.f64 1 (+.f64 (*.f64 2 (/.f64 (pow.f64 y 2) (pow.f64 x 2))) (*.f64 -1 (/.f64 (-.f64 y (*.f64 -1 y)) x)))))
1
(+.f64 1 (*.f64 -2 (/.f64 y x)))
(+.f64 1 (+.f64 (*.f64 -2 (/.f64 y x)) (*.f64 2 (/.f64 (pow.f64 y 2) (pow.f64 x 2)))))
(+.f64 (*.f64 -2 (/.f64 (pow.f64 y 3) (pow.f64 x 3))) (+.f64 1 (+.f64 (*.f64 -2 (/.f64 y x)) (*.f64 2 (/.f64 (pow.f64 y 2) (pow.f64 x 2))))))
-1
(-.f64 (*.f64 2 (/.f64 x y)) 1)
(-.f64 (+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (*.f64 2 (/.f64 x y))) (+.f64 (/.f64 (pow.f64 x 2) (pow.f64 y 2)) 1))
(-.f64 (+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (+.f64 (*.f64 2 (/.f64 x y)) (/.f64 (pow.f64 x 3) (pow.f64 y 3)))) (+.f64 (/.f64 (pow.f64 x 2) (pow.f64 y 2)) (+.f64 1 (*.f64 -1 (/.f64 (pow.f64 x 3) (pow.f64 y 3))))))
-1
(-.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 x) x) y)) 1)
(-.f64 (+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 x) x) y)) (*.f64 -2 (/.f64 (pow.f64 x 2) (pow.f64 y 2)))) 1)
(-.f64 (+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 x) x) y)) (+.f64 (*.f64 -2 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (*.f64 2 (/.f64 (pow.f64 x 3) (pow.f64 y 3))))) 1)
(/.f64 x y)
(+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (/.f64 x y))
(+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (+.f64 (/.f64 x y) (/.f64 (pow.f64 x 3) (pow.f64 y 3))))
(+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 x 4) (pow.f64 y 4))) (+.f64 (/.f64 x y) (/.f64 (pow.f64 x 3) (pow.f64 y 3)))))
1
(+.f64 1 (*.f64 -1 (/.f64 y x)))
(+.f64 1 (+.f64 (/.f64 (pow.f64 y 2) (pow.f64 x 2)) (*.f64 -1 (/.f64 y x))))
(+.f64 1 (+.f64 (/.f64 (pow.f64 y 2) (pow.f64 x 2)) (+.f64 (*.f64 -1 (/.f64 (pow.f64 y 3) (pow.f64 x 3))) (*.f64 -1 (/.f64 y x)))))
1
(+.f64 1 (*.f64 -1 (/.f64 y x)))
(+.f64 1 (+.f64 (/.f64 (pow.f64 y 2) (pow.f64 x 2)) (*.f64 -1 (/.f64 y x))))
(+.f64 1 (+.f64 (/.f64 (pow.f64 y 2) (pow.f64 x 2)) (+.f64 (*.f64 -1 (/.f64 (pow.f64 y 3) (pow.f64 x 3))) (*.f64 -1 (/.f64 y x)))))
1
(+.f64 1 (*.f64 -1 (/.f64 y x)))
(+.f64 1 (+.f64 (/.f64 (pow.f64 y 2) (pow.f64 x 2)) (*.f64 -1 (/.f64 y x))))
(+.f64 1 (+.f64 (/.f64 (pow.f64 y 2) (pow.f64 x 2)) (+.f64 (*.f64 -1 (/.f64 (pow.f64 y 3) (pow.f64 x 3))) (*.f64 -1 (/.f64 y x)))))
(/.f64 x y)
(+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (/.f64 x y))
(+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (+.f64 (/.f64 x y) (/.f64 (pow.f64 x 3) (pow.f64 y 3))))
(+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 x 4) (pow.f64 y 4))) (+.f64 (/.f64 x y) (/.f64 (pow.f64 x 3) (pow.f64 y 3)))))
(/.f64 x y)
(+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (/.f64 x y))
(+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (+.f64 (/.f64 x y) (/.f64 (pow.f64 x 3) (pow.f64 y 3))))
(+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 x 4) (pow.f64 y 4))) (+.f64 (/.f64 x y) (/.f64 (pow.f64 x 3) (pow.f64 y 3)))))
(/.f64 y x)
(+.f64 (/.f64 y x) (*.f64 -1 (/.f64 (pow.f64 y 2) (pow.f64 x 2))))
(+.f64 (/.f64 (pow.f64 y 3) (pow.f64 x 3)) (+.f64 (/.f64 y x) (*.f64 -1 (/.f64 (pow.f64 y 2) (pow.f64 x 2)))))
(+.f64 (/.f64 (pow.f64 y 3) (pow.f64 x 3)) (+.f64 (/.f64 y x) (+.f64 (*.f64 -1 (/.f64 (pow.f64 y 2) (pow.f64 x 2))) (*.f64 -1 (/.f64 (pow.f64 y 4) (pow.f64 x 4))))))
1
(+.f64 1 (*.f64 -1 (/.f64 x y)))
(+.f64 (/.f64 (pow.f64 x 2) (pow.f64 y 2)) (+.f64 1 (*.f64 -1 (/.f64 x y))))
(+.f64 (/.f64 (pow.f64 x 2) (pow.f64 y 2)) (+.f64 1 (+.f64 (*.f64 -1 (/.f64 (pow.f64 x 3) (pow.f64 y 3))) (*.f64 -1 (/.f64 x y)))))
1
(+.f64 1 (*.f64 -1 (/.f64 x y)))
(+.f64 (/.f64 (pow.f64 x 2) (pow.f64 y 2)) (+.f64 1 (*.f64 -1 (/.f64 x y))))
(+.f64 (/.f64 (pow.f64 x 2) (pow.f64 y 2)) (+.f64 1 (+.f64 (*.f64 -1 (/.f64 (pow.f64 x 3) (pow.f64 y 3))) (*.f64 -1 (/.f64 x y)))))
1
(+.f64 1 (*.f64 -1 (/.f64 x y)))
(+.f64 (/.f64 (pow.f64 x 2) (pow.f64 y 2)) (+.f64 1 (*.f64 -1 (/.f64 x y))))
(+.f64 (/.f64 (pow.f64 x 2) (pow.f64 y 2)) (+.f64 1 (+.f64 (*.f64 -1 (/.f64 (pow.f64 x 3) (pow.f64 y 3))) (*.f64 -1 (/.f64 x y)))))
(/.f64 y x)
(+.f64 (/.f64 y x) (*.f64 -1 (/.f64 (pow.f64 y 2) (pow.f64 x 2))))
(+.f64 (/.f64 (pow.f64 y 3) (pow.f64 x 3)) (+.f64 (/.f64 y x) (*.f64 -1 (/.f64 (pow.f64 y 2) (pow.f64 x 2)))))
(+.f64 (/.f64 (pow.f64 y 3) (pow.f64 x 3)) (+.f64 (/.f64 y x) (+.f64 (*.f64 -1 (/.f64 (pow.f64 y 2) (pow.f64 x 2))) (*.f64 -1 (/.f64 (pow.f64 y 4) (pow.f64 x 4))))))
(/.f64 y x)
(+.f64 (/.f64 y x) (*.f64 -1 (/.f64 (pow.f64 y 2) (pow.f64 x 2))))
(+.f64 (/.f64 (pow.f64 y 3) (pow.f64 x 3)) (+.f64 (/.f64 y x) (*.f64 -1 (/.f64 (pow.f64 y 2) (pow.f64 x 2)))))
(+.f64 (/.f64 (pow.f64 y 3) (pow.f64 x 3)) (+.f64 (/.f64 y x) (+.f64 (*.f64 -1 (/.f64 (pow.f64 y 2) (pow.f64 x 2))) (*.f64 -1 (/.f64 (pow.f64 y 4) (pow.f64 x 4))))))
Outputs
-1
(-.f64 (*.f64 2 (/.f64 x y)) 1)
(fma.f64 2 (/.f64 x y) -1)
(-.f64 (+.f64 (*.f64 -2 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (*.f64 2 (/.f64 x y))) 1)
(+.f64 (/.f64 (*.f64 -2 (*.f64 x x)) (*.f64 y y)) (fma.f64 2 (/.f64 x y) -1))
(fma.f64 -2 (*.f64 (/.f64 x y) (/.f64 x y)) (fma.f64 2 (/.f64 x y) -1))
(fma.f64 2 (/.f64 x y) (fma.f64 -2 (*.f64 (/.f64 x y) (/.f64 x y)) -1))
(fma.f64 2 (/.f64 x y) (fma.f64 -2 (*.f64 x (/.f64 x (*.f64 y y))) -1))
(-.f64 (+.f64 (*.f64 -2 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (+.f64 (*.f64 2 (/.f64 (pow.f64 x 3) (pow.f64 y 3))) (*.f64 2 (/.f64 x y)))) 1)
(+.f64 (fma.f64 -2 (/.f64 (*.f64 x x) (*.f64 y y)) (*.f64 2 (+.f64 (/.f64 x y) (/.f64 (pow.f64 x 3) (pow.f64 y 3))))) -1)
(fma.f64 -2 (*.f64 (/.f64 x y) (/.f64 x y)) (fma.f64 2 (+.f64 (/.f64 x y) (/.f64 (pow.f64 x 3) (pow.f64 y 3))) -1))
(fma.f64 2 (+.f64 (/.f64 x y) (pow.f64 (/.f64 x y) 3)) (fma.f64 -2 (*.f64 (/.f64 x y) (/.f64 x y)) -1))
(fma.f64 2 (+.f64 (/.f64 x y) (pow.f64 (/.f64 x y) 3)) (fma.f64 -2 (*.f64 x (/.f64 x (*.f64 y y))) -1))
1
(+.f64 1 (*.f64 -2 (/.f64 y x)))
(fma.f64 -2 (/.f64 y x) 1)
(-.f64 (+.f64 1 (+.f64 (*.f64 -2 (/.f64 y x)) (/.f64 (pow.f64 y 2) (pow.f64 x 2)))) (*.f64 -1 (/.f64 (pow.f64 y 2) (pow.f64 x 2))))
(+.f64 1 (-.f64 (fma.f64 -2 (/.f64 y x) (/.f64 (*.f64 y y) (*.f64 x x))) (neg.f64 (/.f64 (*.f64 y y) (*.f64 x x)))))
(+.f64 1 (+.f64 (fma.f64 -2 (/.f64 y x) (*.f64 (/.f64 y x) (/.f64 y x))) (*.f64 (/.f64 y x) (/.f64 y x))))
(fma.f64 2 (*.f64 (/.f64 y (*.f64 x x)) y) (fma.f64 -2 (/.f64 y x) 1))
(fma.f64 -2 (/.f64 y x) (fma.f64 (/.f64 2 x) (/.f64 y (/.f64 x y)) 1))
(-.f64 (+.f64 1 (+.f64 (*.f64 -2 (/.f64 y x)) (+.f64 (/.f64 (pow.f64 y 2) (pow.f64 x 2)) (*.f64 -1 (/.f64 (pow.f64 y 3) (pow.f64 x 3)))))) (+.f64 (/.f64 (pow.f64 y 3) (pow.f64 x 3)) (*.f64 -1 (/.f64 (pow.f64 y 2) (pow.f64 x 2)))))
(-.f64 (+.f64 1 (+.f64 (fma.f64 -2 (/.f64 y x) (/.f64 (*.f64 y y) (*.f64 x x))) (neg.f64 (/.f64 (pow.f64 y 3) (pow.f64 x 3))))) (+.f64 (neg.f64 (/.f64 (*.f64 y y) (*.f64 x x))) (/.f64 (pow.f64 y 3) (pow.f64 x 3))))
(+.f64 1 (+.f64 (-.f64 (fma.f64 -2 (/.f64 y x) (*.f64 (/.f64 y x) (/.f64 y x))) (/.f64 (pow.f64 y 3) (pow.f64 x 3))) (-.f64 (*.f64 (/.f64 y x) (/.f64 y x)) (/.f64 (pow.f64 y 3) (pow.f64 x 3)))))
(+.f64 (fma.f64 -2 (/.f64 y x) 1) (*.f64 2 (*.f64 (*.f64 (/.f64 y (*.f64 x x)) y) (-.f64 1 (/.f64 y x)))))
(+.f64 (fma.f64 -2 (/.f64 y x) 1) (*.f64 2 (-.f64 (/.f64 y (*.f64 x (/.f64 x y))) (pow.f64 (/.f64 y x) 3))))
1
(+.f64 1 (*.f64 -1 (/.f64 (-.f64 y (*.f64 -1 y)) x)))
(+.f64 1 (*.f64 -2 (/.f64 y x)))
(fma.f64 -2 (/.f64 y x) 1)
(+.f64 1 (+.f64 (*.f64 2 (/.f64 (pow.f64 y 2) (pow.f64 x 2))) (*.f64 -1 (/.f64 (-.f64 y (*.f64 -1 y)) x))))
(+.f64 1 (-.f64 (fma.f64 -2 (/.f64 y x) (/.f64 (*.f64 y y) (*.f64 x x))) (neg.f64 (/.f64 (*.f64 y y) (*.f64 x x)))))
(+.f64 1 (+.f64 (fma.f64 -2 (/.f64 y x) (*.f64 (/.f64 y x) (/.f64 y x))) (*.f64 (/.f64 y x) (/.f64 y x))))
(fma.f64 2 (*.f64 (/.f64 y (*.f64 x x)) y) (fma.f64 -2 (/.f64 y x) 1))
(fma.f64 -2 (/.f64 y x) (fma.f64 (/.f64 2 x) (/.f64 y (/.f64 x y)) 1))
(+.f64 (*.f64 -2 (/.f64 (pow.f64 y 3) (pow.f64 x 3))) (+.f64 1 (+.f64 (*.f64 2 (/.f64 (pow.f64 y 2) (pow.f64 x 2))) (*.f64 -1 (/.f64 (-.f64 y (*.f64 -1 y)) x)))))
(fma.f64 -2 (/.f64 (pow.f64 y 3) (pow.f64 x 3)) (+.f64 1 (fma.f64 2 (/.f64 (*.f64 y y) (*.f64 x x)) (neg.f64 (/.f64 (-.f64 y (neg.f64 y)) x)))))
(+.f64 (-.f64 (*.f64 (/.f64 2 x) (/.f64 (*.f64 y y) x)) (/.f64 (+.f64 y y) x)) (fma.f64 -2 (/.f64 (pow.f64 y 3) (pow.f64 x 3)) 1))
(fma.f64 -2 (pow.f64 (/.f64 y x) 3) (fma.f64 2 (*.f64 (/.f64 y (*.f64 x x)) y) (fma.f64 -2 (/.f64 y x) 1)))
(fma.f64 -2 (pow.f64 (/.f64 y x) 3) (fma.f64 -2 (/.f64 y x) (fma.f64 (/.f64 2 x) (/.f64 y (/.f64 x y)) 1)))
1
(+.f64 1 (*.f64 -2 (/.f64 y x)))
(fma.f64 -2 (/.f64 y x) 1)
(+.f64 1 (+.f64 (*.f64 -2 (/.f64 y x)) (*.f64 2 (/.f64 (pow.f64 y 2) (pow.f64 x 2)))))
(+.f64 1 (-.f64 (fma.f64 -2 (/.f64 y x) (/.f64 (*.f64 y y) (*.f64 x x))) (neg.f64 (/.f64 (*.f64 y y) (*.f64 x x)))))
(+.f64 1 (+.f64 (fma.f64 -2 (/.f64 y x) (*.f64 (/.f64 y x) (/.f64 y x))) (*.f64 (/.f64 y x) (/.f64 y x))))
(fma.f64 2 (*.f64 (/.f64 y (*.f64 x x)) y) (fma.f64 -2 (/.f64 y x) 1))
(fma.f64 -2 (/.f64 y x) (fma.f64 (/.f64 2 x) (/.f64 y (/.f64 x y)) 1))
(+.f64 (*.f64 -2 (/.f64 (pow.f64 y 3) (pow.f64 x 3))) (+.f64 1 (+.f64 (*.f64 -2 (/.f64 y x)) (*.f64 2 (/.f64 (pow.f64 y 2) (pow.f64 x 2))))))
(fma.f64 -2 (/.f64 (pow.f64 y 3) (pow.f64 x 3)) (+.f64 1 (fma.f64 2 (/.f64 (*.f64 y y) (*.f64 x x)) (neg.f64 (/.f64 (-.f64 y (neg.f64 y)) x)))))
(+.f64 (-.f64 (*.f64 (/.f64 2 x) (/.f64 (*.f64 y y) x)) (/.f64 (+.f64 y y) x)) (fma.f64 -2 (/.f64 (pow.f64 y 3) (pow.f64 x 3)) 1))
(fma.f64 -2 (pow.f64 (/.f64 y x) 3) (fma.f64 2 (*.f64 (/.f64 y (*.f64 x x)) y) (fma.f64 -2 (/.f64 y x) 1)))
(fma.f64 -2 (pow.f64 (/.f64 y x) 3) (fma.f64 -2 (/.f64 y x) (fma.f64 (/.f64 2 x) (/.f64 y (/.f64 x y)) 1)))
-1
(-.f64 (*.f64 2 (/.f64 x y)) 1)
(fma.f64 2 (/.f64 x y) -1)
(-.f64 (+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (*.f64 2 (/.f64 x y))) (+.f64 (/.f64 (pow.f64 x 2) (pow.f64 y 2)) 1))
(+.f64 (/.f64 (*.f64 -2 (*.f64 x x)) (*.f64 y y)) (fma.f64 2 (/.f64 x y) -1))
(fma.f64 -2 (*.f64 (/.f64 x y) (/.f64 x y)) (fma.f64 2 (/.f64 x y) -1))
(fma.f64 2 (/.f64 x y) (fma.f64 -2 (*.f64 (/.f64 x y) (/.f64 x y)) -1))
(fma.f64 2 (/.f64 x y) (fma.f64 -2 (*.f64 x (/.f64 x (*.f64 y y))) -1))
(-.f64 (+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (+.f64 (*.f64 2 (/.f64 x y)) (/.f64 (pow.f64 x 3) (pow.f64 y 3)))) (+.f64 (/.f64 (pow.f64 x 2) (pow.f64 y 2)) (+.f64 1 (*.f64 -1 (/.f64 (pow.f64 x 3) (pow.f64 y 3))))))
(-.f64 (fma.f64 -1 (/.f64 (*.f64 x x) (*.f64 y y)) (fma.f64 2 (/.f64 x y) (/.f64 (pow.f64 x 3) (pow.f64 y 3)))) (+.f64 (+.f64 1 (/.f64 (*.f64 x x) (*.f64 y y))) (neg.f64 (/.f64 (pow.f64 x 3) (pow.f64 y 3)))))
(-.f64 (-.f64 (fma.f64 2 (/.f64 x y) (/.f64 (pow.f64 x 3) (pow.f64 y 3))) (*.f64 (/.f64 x y) (/.f64 x y))) (+.f64 (*.f64 (/.f64 x y) (/.f64 x y)) (-.f64 1 (/.f64 (pow.f64 x 3) (pow.f64 y 3)))))
(+.f64 (*.f64 (/.f64 x y) (-.f64 2 (/.f64 x y))) (+.f64 (pow.f64 (/.f64 x y) 3) (-.f64 (pow.f64 (/.f64 x y) 3) (fma.f64 (/.f64 x y) (/.f64 x y) 1))))
(+.f64 (*.f64 (/.f64 x y) (-.f64 2 (/.f64 x y))) (-.f64 (*.f64 2 (pow.f64 (/.f64 x y) 3)) (fma.f64 (/.f64 x y) (/.f64 x y) 1)))
-1
(-.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 x) x) y)) 1)
(fma.f64 2 (/.f64 x y) -1)
(-.f64 (+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 x) x) y)) (*.f64 -2 (/.f64 (pow.f64 x 2) (pow.f64 y 2)))) 1)
(+.f64 (/.f64 (*.f64 -2 (*.f64 x x)) (*.f64 y y)) (fma.f64 2 (/.f64 x y) -1))
(fma.f64 -2 (*.f64 (/.f64 x y) (/.f64 x y)) (fma.f64 2 (/.f64 x y) -1))
(fma.f64 2 (/.f64 x y) (fma.f64 -2 (*.f64 (/.f64 x y) (/.f64 x y)) -1))
(fma.f64 2 (/.f64 x y) (fma.f64 -2 (*.f64 x (/.f64 x (*.f64 y y))) -1))
(-.f64 (+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 x) x) y)) (+.f64 (*.f64 -2 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (*.f64 2 (/.f64 (pow.f64 x 3) (pow.f64 y 3))))) 1)
(+.f64 (fma.f64 -2 (/.f64 (*.f64 x x) (*.f64 y y)) (*.f64 2 (+.f64 (/.f64 x y) (/.f64 (pow.f64 x 3) (pow.f64 y 3))))) -1)
(fma.f64 -2 (*.f64 (/.f64 x y) (/.f64 x y)) (fma.f64 2 (+.f64 (/.f64 x y) (/.f64 (pow.f64 x 3) (pow.f64 y 3))) -1))
(fma.f64 2 (+.f64 (/.f64 x y) (pow.f64 (/.f64 x y) 3)) (fma.f64 -2 (*.f64 (/.f64 x y) (/.f64 x y)) -1))
(fma.f64 2 (+.f64 (/.f64 x y) (pow.f64 (/.f64 x y) 3)) (fma.f64 -2 (*.f64 x (/.f64 x (*.f64 y y))) -1))
(/.f64 x y)
(+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (/.f64 x y))
(fma.f64 -1 (/.f64 (*.f64 x x) (*.f64 y y)) (/.f64 x y))
(-.f64 (/.f64 x y) (*.f64 (/.f64 x y) (/.f64 x y)))
(neg.f64 (*.f64 (/.f64 x y) (+.f64 -1 (/.f64 x y))))
(+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (+.f64 (/.f64 x y) (/.f64 (pow.f64 x 3) (pow.f64 y 3))))
(+.f64 (fma.f64 -1 (/.f64 (*.f64 x x) (*.f64 y y)) (/.f64 x y)) (/.f64 (pow.f64 x 3) (pow.f64 y 3)))
(+.f64 (/.f64 (pow.f64 x 3) (pow.f64 y 3)) (-.f64 (/.f64 x y) (*.f64 (/.f64 x y) (/.f64 x y))))
(+.f64 (/.f64 x y) (*.f64 (*.f64 (/.f64 x y) (/.f64 x y)) (+.f64 (/.f64 x y) -1)))
(-.f64 (pow.f64 (/.f64 x y) 3) (*.f64 (/.f64 x y) (+.f64 -1 (/.f64 x y))))
(+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 x 4) (pow.f64 y 4))) (+.f64 (/.f64 x y) (/.f64 (pow.f64 x 3) (pow.f64 y 3)))))
(fma.f64 -1 (/.f64 (*.f64 x x) (*.f64 y y)) (fma.f64 -1 (/.f64 (pow.f64 x 4) (pow.f64 y 4)) (+.f64 (/.f64 x y) (/.f64 (pow.f64 x 3) (pow.f64 y 3)))))
(-.f64 (-.f64 (+.f64 (/.f64 x y) (/.f64 (pow.f64 x 3) (pow.f64 y 3))) (/.f64 (pow.f64 x 4) (pow.f64 y 4))) (*.f64 (/.f64 x y) (/.f64 x y)))
(-.f64 (+.f64 (/.f64 x y) (pow.f64 (/.f64 x y) 3)) (fma.f64 (/.f64 x y) (/.f64 x y) (/.f64 (pow.f64 x 4) (pow.f64 y 4))))
(-.f64 (-.f64 (pow.f64 (/.f64 x y) 3) (*.f64 (/.f64 x y) (+.f64 -1 (/.f64 x y)))) (pow.f64 (/.f64 x y) 4))
1
(+.f64 1 (*.f64 -1 (/.f64 y x)))
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(-.f64 1 (/.f64 y x))
(+.f64 1 (+.f64 (/.f64 (pow.f64 y 2) (pow.f64 x 2)) (*.f64 -1 (/.f64 y x))))
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(+.f64 1 (-.f64 (*.f64 (/.f64 y x) (/.f64 y x)) (/.f64 y x)))
(+.f64 1 (*.f64 (/.f64 y x) (+.f64 -1 (/.f64 y x))))
(+.f64 1 (*.f64 (/.f64 y x) (+.f64 (/.f64 y x) -1)))
(+.f64 1 (+.f64 (/.f64 (pow.f64 y 2) (pow.f64 x 2)) (+.f64 (*.f64 -1 (/.f64 (pow.f64 y 3) (pow.f64 x 3))) (*.f64 -1 (/.f64 y x)))))
(+.f64 (+.f64 1 (/.f64 (*.f64 y y) (*.f64 x x))) (fma.f64 -1 (/.f64 (pow.f64 y 3) (pow.f64 x 3)) (/.f64 (neg.f64 y) x)))
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(+.f64 1 (-.f64 (*.f64 (/.f64 y x) (+.f64 (/.f64 y x) -1)) (pow.f64 (/.f64 y x) 3)))
1
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(+.f64 (+.f64 1 (/.f64 (*.f64 y y) (*.f64 x x))) (fma.f64 -1 (/.f64 (pow.f64 y 3) (pow.f64 x 3)) (/.f64 (neg.f64 y) x)))
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(+.f64 1 (-.f64 (*.f64 (/.f64 y x) (+.f64 (/.f64 y x) -1)) (pow.f64 (/.f64 y x) 3)))
1
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(+.f64 1 (-.f64 (*.f64 (/.f64 y x) (/.f64 y x)) (/.f64 y x)))
(+.f64 1 (*.f64 (/.f64 y x) (+.f64 -1 (/.f64 y x))))
(+.f64 1 (*.f64 (/.f64 y x) (+.f64 (/.f64 y x) -1)))
(+.f64 1 (+.f64 (/.f64 (pow.f64 y 2) (pow.f64 x 2)) (+.f64 (*.f64 -1 (/.f64 (pow.f64 y 3) (pow.f64 x 3))) (*.f64 -1 (/.f64 y x)))))
(+.f64 (+.f64 1 (/.f64 (*.f64 y y) (*.f64 x x))) (fma.f64 -1 (/.f64 (pow.f64 y 3) (pow.f64 x 3)) (/.f64 (neg.f64 y) x)))
(+.f64 1 (-.f64 (-.f64 (*.f64 (/.f64 y x) (/.f64 y x)) (/.f64 (pow.f64 y 3) (pow.f64 x 3))) (/.f64 y x)))
(+.f64 1 (-.f64 (*.f64 (/.f64 y x) (+.f64 -1 (/.f64 y x))) (pow.f64 (/.f64 y x) 3)))
(+.f64 1 (-.f64 (*.f64 (/.f64 y x) (+.f64 (/.f64 y x) -1)) (pow.f64 (/.f64 y x) 3)))
(/.f64 x y)
(+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (/.f64 x y))
(fma.f64 -1 (/.f64 (*.f64 x x) (*.f64 y y)) (/.f64 x y))
(-.f64 (/.f64 x y) (*.f64 (/.f64 x y) (/.f64 x y)))
(neg.f64 (*.f64 (/.f64 x y) (+.f64 -1 (/.f64 x y))))
(+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (+.f64 (/.f64 x y) (/.f64 (pow.f64 x 3) (pow.f64 y 3))))
(+.f64 (fma.f64 -1 (/.f64 (*.f64 x x) (*.f64 y y)) (/.f64 x y)) (/.f64 (pow.f64 x 3) (pow.f64 y 3)))
(+.f64 (/.f64 (pow.f64 x 3) (pow.f64 y 3)) (-.f64 (/.f64 x y) (*.f64 (/.f64 x y) (/.f64 x y))))
(+.f64 (/.f64 x y) (*.f64 (*.f64 (/.f64 x y) (/.f64 x y)) (+.f64 (/.f64 x y) -1)))
(-.f64 (pow.f64 (/.f64 x y) 3) (*.f64 (/.f64 x y) (+.f64 -1 (/.f64 x y))))
(+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 x 4) (pow.f64 y 4))) (+.f64 (/.f64 x y) (/.f64 (pow.f64 x 3) (pow.f64 y 3)))))
(fma.f64 -1 (/.f64 (*.f64 x x) (*.f64 y y)) (fma.f64 -1 (/.f64 (pow.f64 x 4) (pow.f64 y 4)) (+.f64 (/.f64 x y) (/.f64 (pow.f64 x 3) (pow.f64 y 3)))))
(-.f64 (-.f64 (+.f64 (/.f64 x y) (/.f64 (pow.f64 x 3) (pow.f64 y 3))) (/.f64 (pow.f64 x 4) (pow.f64 y 4))) (*.f64 (/.f64 x y) (/.f64 x y)))
(-.f64 (+.f64 (/.f64 x y) (pow.f64 (/.f64 x y) 3)) (fma.f64 (/.f64 x y) (/.f64 x y) (/.f64 (pow.f64 x 4) (pow.f64 y 4))))
(-.f64 (-.f64 (pow.f64 (/.f64 x y) 3) (*.f64 (/.f64 x y) (+.f64 -1 (/.f64 x y)))) (pow.f64 (/.f64 x y) 4))
(/.f64 x y)
(+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (/.f64 x y))
(fma.f64 -1 (/.f64 (*.f64 x x) (*.f64 y y)) (/.f64 x y))
(-.f64 (/.f64 x y) (*.f64 (/.f64 x y) (/.f64 x y)))
(neg.f64 (*.f64 (/.f64 x y) (+.f64 -1 (/.f64 x y))))
(+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (+.f64 (/.f64 x y) (/.f64 (pow.f64 x 3) (pow.f64 y 3))))
(+.f64 (fma.f64 -1 (/.f64 (*.f64 x x) (*.f64 y y)) (/.f64 x y)) (/.f64 (pow.f64 x 3) (pow.f64 y 3)))
(+.f64 (/.f64 (pow.f64 x 3) (pow.f64 y 3)) (-.f64 (/.f64 x y) (*.f64 (/.f64 x y) (/.f64 x y))))
(+.f64 (/.f64 x y) (*.f64 (*.f64 (/.f64 x y) (/.f64 x y)) (+.f64 (/.f64 x y) -1)))
(-.f64 (pow.f64 (/.f64 x y) 3) (*.f64 (/.f64 x y) (+.f64 -1 (/.f64 x y))))
(+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 x 4) (pow.f64 y 4))) (+.f64 (/.f64 x y) (/.f64 (pow.f64 x 3) (pow.f64 y 3)))))
(fma.f64 -1 (/.f64 (*.f64 x x) (*.f64 y y)) (fma.f64 -1 (/.f64 (pow.f64 x 4) (pow.f64 y 4)) (+.f64 (/.f64 x y) (/.f64 (pow.f64 x 3) (pow.f64 y 3)))))
(-.f64 (-.f64 (+.f64 (/.f64 x y) (/.f64 (pow.f64 x 3) (pow.f64 y 3))) (/.f64 (pow.f64 x 4) (pow.f64 y 4))) (*.f64 (/.f64 x y) (/.f64 x y)))
(-.f64 (+.f64 (/.f64 x y) (pow.f64 (/.f64 x y) 3)) (fma.f64 (/.f64 x y) (/.f64 x y) (/.f64 (pow.f64 x 4) (pow.f64 y 4))))
(-.f64 (-.f64 (pow.f64 (/.f64 x y) 3) (*.f64 (/.f64 x y) (+.f64 -1 (/.f64 x y)))) (pow.f64 (/.f64 x y) 4))
(/.f64 y x)
(+.f64 (/.f64 y x) (*.f64 -1 (/.f64 (pow.f64 y 2) (pow.f64 x 2))))
(+.f64 (/.f64 y x) (neg.f64 (/.f64 (*.f64 y y) (*.f64 x x))))
(-.f64 (/.f64 y x) (*.f64 (/.f64 y x) (/.f64 y x)))
(-.f64 (/.f64 y x) (*.f64 (/.f64 y (*.f64 x x)) y))
(neg.f64 (*.f64 (/.f64 y x) (+.f64 (/.f64 y x) -1)))
(+.f64 (/.f64 (pow.f64 y 3) (pow.f64 x 3)) (+.f64 (/.f64 y x) (*.f64 -1 (/.f64 (pow.f64 y 2) (pow.f64 x 2)))))
(+.f64 (/.f64 (pow.f64 y 3) (pow.f64 x 3)) (+.f64 (/.f64 y x) (neg.f64 (/.f64 (*.f64 y y) (*.f64 x x)))))
(+.f64 (/.f64 (pow.f64 y 3) (pow.f64 x 3)) (-.f64 (/.f64 y x) (*.f64 (/.f64 y x) (/.f64 y x))))
(-.f64 (pow.f64 (/.f64 y x) 3) (*.f64 (/.f64 y x) (+.f64 -1 (/.f64 y x))))
(-.f64 (pow.f64 (/.f64 y x) 3) (*.f64 (/.f64 y x) (+.f64 (/.f64 y x) -1)))
(+.f64 (/.f64 (pow.f64 y 3) (pow.f64 x 3)) (+.f64 (/.f64 y x) (+.f64 (*.f64 -1 (/.f64 (pow.f64 y 2) (pow.f64 x 2))) (*.f64 -1 (/.f64 (pow.f64 y 4) (pow.f64 x 4))))))
(+.f64 (+.f64 (/.f64 (pow.f64 y 3) (pow.f64 x 3)) (/.f64 y x)) (*.f64 -1 (+.f64 (/.f64 (*.f64 y y) (*.f64 x x)) (/.f64 (pow.f64 y 4) (pow.f64 x 4)))))
(+.f64 (/.f64 (pow.f64 y 3) (pow.f64 x 3)) (-.f64 (-.f64 (/.f64 y x) (*.f64 (/.f64 y x) (/.f64 y x))) (/.f64 (pow.f64 y 4) (pow.f64 x 4))))
(-.f64 (-.f64 (pow.f64 (/.f64 y x) 3) (*.f64 (/.f64 y x) (+.f64 -1 (/.f64 y x)))) (/.f64 (pow.f64 y 4) (pow.f64 x 4)))
(-.f64 (-.f64 (pow.f64 (/.f64 y x) 3) (*.f64 (/.f64 y x) (+.f64 (/.f64 y x) -1))) (pow.f64 (/.f64 y x) 4))
1
(+.f64 1 (*.f64 -1 (/.f64 x y)))
(+.f64 1 (/.f64 (neg.f64 x) y))
(-.f64 1 (/.f64 x y))
(+.f64 (/.f64 (pow.f64 x 2) (pow.f64 y 2)) (+.f64 1 (*.f64 -1 (/.f64 x y))))
(+.f64 (/.f64 (*.f64 x x) (*.f64 y y)) (+.f64 1 (/.f64 (neg.f64 x) y)))
(+.f64 (*.f64 (/.f64 x y) (/.f64 x y)) (-.f64 1 (/.f64 x y)))
(+.f64 1 (*.f64 (/.f64 x y) (+.f64 (/.f64 x y) -1)))
(+.f64 1 (*.f64 (/.f64 x y) (+.f64 -1 (/.f64 x y))))
(+.f64 (/.f64 (pow.f64 x 2) (pow.f64 y 2)) (+.f64 1 (+.f64 (*.f64 -1 (/.f64 (pow.f64 x 3) (pow.f64 y 3))) (*.f64 -1 (/.f64 x y)))))
(+.f64 (+.f64 1 (/.f64 (*.f64 x x) (*.f64 y y))) (*.f64 -1 (+.f64 (/.f64 x y) (/.f64 (pow.f64 x 3) (pow.f64 y 3)))))
(+.f64 (*.f64 (/.f64 x y) (/.f64 x y)) (-.f64 (-.f64 1 (/.f64 (pow.f64 x 3) (pow.f64 y 3))) (/.f64 x y)))
(+.f64 1 (-.f64 (*.f64 (/.f64 x y) (+.f64 (/.f64 x y) -1)) (pow.f64 (/.f64 x y) 3)))
(+.f64 (-.f64 1 (pow.f64 (/.f64 x y) 3)) (*.f64 (/.f64 x y) (+.f64 -1 (/.f64 x y))))
1
(+.f64 1 (*.f64 -1 (/.f64 x y)))
(+.f64 1 (/.f64 (neg.f64 x) y))
(-.f64 1 (/.f64 x y))
(+.f64 (/.f64 (pow.f64 x 2) (pow.f64 y 2)) (+.f64 1 (*.f64 -1 (/.f64 x y))))
(+.f64 (/.f64 (*.f64 x x) (*.f64 y y)) (+.f64 1 (/.f64 (neg.f64 x) y)))
(+.f64 (*.f64 (/.f64 x y) (/.f64 x y)) (-.f64 1 (/.f64 x y)))
(+.f64 1 (*.f64 (/.f64 x y) (+.f64 (/.f64 x y) -1)))
(+.f64 1 (*.f64 (/.f64 x y) (+.f64 -1 (/.f64 x y))))
(+.f64 (/.f64 (pow.f64 x 2) (pow.f64 y 2)) (+.f64 1 (+.f64 (*.f64 -1 (/.f64 (pow.f64 x 3) (pow.f64 y 3))) (*.f64 -1 (/.f64 x y)))))
(+.f64 (+.f64 1 (/.f64 (*.f64 x x) (*.f64 y y))) (*.f64 -1 (+.f64 (/.f64 x y) (/.f64 (pow.f64 x 3) (pow.f64 y 3)))))
(+.f64 (*.f64 (/.f64 x y) (/.f64 x y)) (-.f64 (-.f64 1 (/.f64 (pow.f64 x 3) (pow.f64 y 3))) (/.f64 x y)))
(+.f64 1 (-.f64 (*.f64 (/.f64 x y) (+.f64 (/.f64 x y) -1)) (pow.f64 (/.f64 x y) 3)))
(+.f64 (-.f64 1 (pow.f64 (/.f64 x y) 3)) (*.f64 (/.f64 x y) (+.f64 -1 (/.f64 x y))))
1
(+.f64 1 (*.f64 -1 (/.f64 x y)))
(+.f64 1 (/.f64 (neg.f64 x) y))
(-.f64 1 (/.f64 x y))
(+.f64 (/.f64 (pow.f64 x 2) (pow.f64 y 2)) (+.f64 1 (*.f64 -1 (/.f64 x y))))
(+.f64 (/.f64 (*.f64 x x) (*.f64 y y)) (+.f64 1 (/.f64 (neg.f64 x) y)))
(+.f64 (*.f64 (/.f64 x y) (/.f64 x y)) (-.f64 1 (/.f64 x y)))
(+.f64 1 (*.f64 (/.f64 x y) (+.f64 (/.f64 x y) -1)))
(+.f64 1 (*.f64 (/.f64 x y) (+.f64 -1 (/.f64 x y))))
(+.f64 (/.f64 (pow.f64 x 2) (pow.f64 y 2)) (+.f64 1 (+.f64 (*.f64 -1 (/.f64 (pow.f64 x 3) (pow.f64 y 3))) (*.f64 -1 (/.f64 x y)))))
(+.f64 (+.f64 1 (/.f64 (*.f64 x x) (*.f64 y y))) (*.f64 -1 (+.f64 (/.f64 x y) (/.f64 (pow.f64 x 3) (pow.f64 y 3)))))
(+.f64 (*.f64 (/.f64 x y) (/.f64 x y)) (-.f64 (-.f64 1 (/.f64 (pow.f64 x 3) (pow.f64 y 3))) (/.f64 x y)))
(+.f64 1 (-.f64 (*.f64 (/.f64 x y) (+.f64 (/.f64 x y) -1)) (pow.f64 (/.f64 x y) 3)))
(+.f64 (-.f64 1 (pow.f64 (/.f64 x y) 3)) (*.f64 (/.f64 x y) (+.f64 -1 (/.f64 x y))))
(/.f64 y x)
(+.f64 (/.f64 y x) (*.f64 -1 (/.f64 (pow.f64 y 2) (pow.f64 x 2))))
(+.f64 (/.f64 y x) (neg.f64 (/.f64 (*.f64 y y) (*.f64 x x))))
(-.f64 (/.f64 y x) (*.f64 (/.f64 y x) (/.f64 y x)))
(-.f64 (/.f64 y x) (*.f64 (/.f64 y (*.f64 x x)) y))
(neg.f64 (*.f64 (/.f64 y x) (+.f64 (/.f64 y x) -1)))
(+.f64 (/.f64 (pow.f64 y 3) (pow.f64 x 3)) (+.f64 (/.f64 y x) (*.f64 -1 (/.f64 (pow.f64 y 2) (pow.f64 x 2)))))
(+.f64 (/.f64 (pow.f64 y 3) (pow.f64 x 3)) (+.f64 (/.f64 y x) (neg.f64 (/.f64 (*.f64 y y) (*.f64 x x)))))
(+.f64 (/.f64 (pow.f64 y 3) (pow.f64 x 3)) (-.f64 (/.f64 y x) (*.f64 (/.f64 y x) (/.f64 y x))))
(-.f64 (pow.f64 (/.f64 y x) 3) (*.f64 (/.f64 y x) (+.f64 -1 (/.f64 y x))))
(-.f64 (pow.f64 (/.f64 y x) 3) (*.f64 (/.f64 y x) (+.f64 (/.f64 y x) -1)))
(+.f64 (/.f64 (pow.f64 y 3) (pow.f64 x 3)) (+.f64 (/.f64 y x) (+.f64 (*.f64 -1 (/.f64 (pow.f64 y 2) (pow.f64 x 2))) (*.f64 -1 (/.f64 (pow.f64 y 4) (pow.f64 x 4))))))
(+.f64 (+.f64 (/.f64 (pow.f64 y 3) (pow.f64 x 3)) (/.f64 y x)) (*.f64 -1 (+.f64 (/.f64 (*.f64 y y) (*.f64 x x)) (/.f64 (pow.f64 y 4) (pow.f64 x 4)))))
(+.f64 (/.f64 (pow.f64 y 3) (pow.f64 x 3)) (-.f64 (-.f64 (/.f64 y x) (*.f64 (/.f64 y x) (/.f64 y x))) (/.f64 (pow.f64 y 4) (pow.f64 x 4))))
(-.f64 (-.f64 (pow.f64 (/.f64 y x) 3) (*.f64 (/.f64 y x) (+.f64 -1 (/.f64 y x)))) (/.f64 (pow.f64 y 4) (pow.f64 x 4)))
(-.f64 (-.f64 (pow.f64 (/.f64 y x) 3) (*.f64 (/.f64 y x) (+.f64 (/.f64 y x) -1))) (pow.f64 (/.f64 y x) 4))
(/.f64 y x)
(+.f64 (/.f64 y x) (*.f64 -1 (/.f64 (pow.f64 y 2) (pow.f64 x 2))))
(+.f64 (/.f64 y x) (neg.f64 (/.f64 (*.f64 y y) (*.f64 x x))))
(-.f64 (/.f64 y x) (*.f64 (/.f64 y x) (/.f64 y x)))
(-.f64 (/.f64 y x) (*.f64 (/.f64 y (*.f64 x x)) y))
(neg.f64 (*.f64 (/.f64 y x) (+.f64 (/.f64 y x) -1)))
(+.f64 (/.f64 (pow.f64 y 3) (pow.f64 x 3)) (+.f64 (/.f64 y x) (*.f64 -1 (/.f64 (pow.f64 y 2) (pow.f64 x 2)))))
(+.f64 (/.f64 (pow.f64 y 3) (pow.f64 x 3)) (+.f64 (/.f64 y x) (neg.f64 (/.f64 (*.f64 y y) (*.f64 x x)))))
(+.f64 (/.f64 (pow.f64 y 3) (pow.f64 x 3)) (-.f64 (/.f64 y x) (*.f64 (/.f64 y x) (/.f64 y x))))
(-.f64 (pow.f64 (/.f64 y x) 3) (*.f64 (/.f64 y x) (+.f64 -1 (/.f64 y x))))
(-.f64 (pow.f64 (/.f64 y x) 3) (*.f64 (/.f64 y x) (+.f64 (/.f64 y x) -1)))
(+.f64 (/.f64 (pow.f64 y 3) (pow.f64 x 3)) (+.f64 (/.f64 y x) (+.f64 (*.f64 -1 (/.f64 (pow.f64 y 2) (pow.f64 x 2))) (*.f64 -1 (/.f64 (pow.f64 y 4) (pow.f64 x 4))))))
(+.f64 (+.f64 (/.f64 (pow.f64 y 3) (pow.f64 x 3)) (/.f64 y x)) (*.f64 -1 (+.f64 (/.f64 (*.f64 y y) (*.f64 x x)) (/.f64 (pow.f64 y 4) (pow.f64 x 4)))))
(+.f64 (/.f64 (pow.f64 y 3) (pow.f64 x 3)) (-.f64 (-.f64 (/.f64 y x) (*.f64 (/.f64 y x) (/.f64 y x))) (/.f64 (pow.f64 y 4) (pow.f64 x 4))))
(-.f64 (-.f64 (pow.f64 (/.f64 y x) 3) (*.f64 (/.f64 y x) (+.f64 -1 (/.f64 y x)))) (/.f64 (pow.f64 y 4) (pow.f64 x 4)))
(-.f64 (-.f64 (pow.f64 (/.f64 y x) 3) (*.f64 (/.f64 y x) (+.f64 (/.f64 y x) -1))) (pow.f64 (/.f64 y x) 4))

localize12.0ms (0.2%)

Local error

Found 1 expressions with local error:

NewErrorProgram
0.0b
(*.f64 -2 (/.f64 y x))
Compiler

Compiled 21 to 11 computations (47.6% saved)

series4.0ms (0.1%)

Counts
1 → 0
Calls

6 calls:

TimeVariablePointExpression
1.0ms
x
@-inf
(*.f64 -2 (/.f64 y x))
1.0ms
y
@0
(*.f64 -2 (/.f64 y x))
1.0ms
y
@inf
(*.f64 -2 (/.f64 y x))
1.0ms
x
@0
(*.f64 -2 (/.f64 y x))
1.0ms
x
@inf
(*.f64 -2 (/.f64 y x))

rewrite55.0ms (0.9%)

Algorithm
batch-egg-rewrite
Rules
653×pow1_binary64
606×add-log-exp_binary64
606×log1p-expm1-u_binary64
606×expm1-log1p-u_binary64
594×add-exp-log_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
067
11277
216107
Stop Event
node limit
Counts
1 → 20
Calls
Call 1
Inputs
(*.f64 -2 (/.f64 y x))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 -2 (/.f64 y x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -2 (/.f64 x y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 x (*.f64 -2 y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 -2 y) x)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 -2 y)) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 -2 y) 1) x)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 -2 y) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 -2 y) (sqrt.f64 x)) (sqrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 y) -2) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 -2 (neg.f64 y)) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 -2 (/.f64 y x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 -2 (/.f64 y x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 -2 (/.f64 y x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 -2 (/.f64 y x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (pow.f64 (/.f64 y x) 2) 4))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 -2) (/.f64 y x)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 -2 (/.f64 y x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 -2 (/.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 -2 (/.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 -2 (/.f64 y x))))))))

simplify8.0ms (0.1%)

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
000
Stop Event
saturated
Counts
20 → 20
Calls
Call 1
Inputs
Outputs

localize7.0ms (0.1%)

Local error

Found 1 expressions with local error:

NewErrorProgram
0.0b
(-.f64 (*.f64 2 (/.f64 x y)) 1)
Compiler

Compiled 21 to 11 computations (47.6% saved)

series3.0ms (0%)

Counts
1 → 6
Calls

6 calls:

TimeVariablePointExpression
1.0ms
x
@0
(-.f64 (*.f64 2 (/.f64 x y)) 1)
0.0ms
x
@inf
(-.f64 (*.f64 2 (/.f64 x y)) 1)
0.0ms
y
@0
(-.f64 (*.f64 2 (/.f64 x y)) 1)
0.0ms
y
@-inf
(-.f64 (*.f64 2 (/.f64 x y)) 1)
0.0ms
y
@inf
(-.f64 (*.f64 2 (/.f64 x y)) 1)

rewrite70.0ms (1.1%)

Algorithm
batch-egg-rewrite
Rules
867×pow1_binary64
808×add-log-exp_binary64
806×log1p-expm1-u_binary64
806×expm1-log1p-u_binary64
793×add-exp-log_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
088
11748
222258
Stop Event
node limit
Counts
1 → 33
Calls
Call 1
Inputs
(-.f64 (*.f64 2 (/.f64 x y)) 1)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 2 (/.f64 x y)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (*.f64 2 (/.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 2 (/.f64 x y) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 2 (/.f64 x y) -1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 2 (/.f64 x y) -1)) (pow.f64 (cbrt.f64 (fma.f64 2 (/.f64 x y) -1)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 2 (/.f64 x y) -1)) 2) (cbrt.f64 (fma.f64 2 (/.f64 x y) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 2 (/.f64 x y) -1)) (sqrt.f64 (fma.f64 2 (/.f64 x y) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 (*.f64 2 (/.f64 x y)) 3) -1) (/.f64 1 (+.f64 (pow.f64 (*.f64 2 (/.f64 x y)) 2) (fma.f64 2 (/.f64 x y) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 (*.f64 2 (/.f64 x y)) 2) -1) (/.f64 1 (fma.f64 2 (/.f64 x y) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (sqrt.f64 (*.f64 2 (/.f64 x y))) 1) (-.f64 (sqrt.f64 (*.f64 2 (/.f64 x y))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (pow.f64 (*.f64 2 (/.f64 x y)) 2) (fma.f64 2 (/.f64 x y) 1)) (+.f64 (pow.f64 (*.f64 2 (/.f64 x y)) 3) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 2 (/.f64 x y) 1) (+.f64 (pow.f64 (*.f64 2 (/.f64 x y)) 2) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 2 (/.f64 x y)) 3) -1) (+.f64 (pow.f64 (*.f64 2 (/.f64 x y)) 2) (fma.f64 2 (/.f64 x y) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 2 (/.f64 x y)) 3) -1) (+.f64 (pow.f64 (*.f64 2 (/.f64 x y)) 2) (-.f64 1 (*.f64 (*.f64 2 (/.f64 x y)) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 2 (/.f64 x y)) 2) -1) (fma.f64 2 (/.f64 x y) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 2 (/.f64 x y)) 2) -1) (-.f64 (*.f64 2 (/.f64 x y)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 2 (/.f64 x y)) 3) -1)) (neg.f64 (+.f64 (pow.f64 (*.f64 2 (/.f64 x y)) 2) (fma.f64 2 (/.f64 x y) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 2 (/.f64 x y)) 2) -1)) (neg.f64 (fma.f64 2 (/.f64 x y) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 2 (/.f64 x y) -1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 2 (/.f64 x y) -1) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 2 (/.f64 x y) -1)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 2 (/.f64 x y) -1)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 2 (/.f64 x y) -1) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 2 (/.f64 x y) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 2 (/.f64 x y) -1) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log.f64 (*.f64 2 (/.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 2 (/.f64 x y) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 2 (/.f64 x y) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 2 (/.f64 x y) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 x y) 2 -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 2 (/.f64 x y)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (*.f64 2 (/.f64 x y))) 2) (cbrt.f64 (*.f64 2 (/.f64 x y))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 2 (/.f64 x y))) (sqrt.f64 (*.f64 2 (/.f64 x y))) -1)))))

simplify8.0ms (0.1%)

Algorithm
egg-herbie
Rules
*-commutative_binary64
associate-/l*_binary64
associate-*r/_binary64
associate-*l/_binary64
associate-/r/_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0724
11024
21424
31824
41924
Stop Event
saturated
Counts
39 → 35
Calls
Call 1
Inputs
-1
(*.f64 2 (/.f64 x y))
(*.f64 2 (/.f64 x y))
(*.f64 2 (/.f64 x y))
-1
-1
Outputs
-1
(*.f64 2 (/.f64 x y))
(*.f64 2 (/.f64 x y))
(*.f64 2 (/.f64 x y))
-1
-1

localize13.0ms (0.2%)

Local error

Found 1 expressions with local error:

NewErrorProgram
0.1b
(*.f64 (/.f64 x y) (+.f64 2 (*.f64 (/.f64 x y) -2)))
Compiler

Compiled 46 to 24 computations (47.8% saved)

series4.0ms (0.1%)

Counts
1 → 24
Calls

6 calls:

TimeVariablePointExpression
1.0ms
x
@0
(*.f64 (/.f64 x y) (+.f64 2 (*.f64 (/.f64 x y) -2)))
1.0ms
y
@-inf
(*.f64 (/.f64 x y) (+.f64 2 (*.f64 (/.f64 x y) -2)))
1.0ms
y
@0
(*.f64 (/.f64 x y) (+.f64 2 (*.f64 (/.f64 x y) -2)))
1.0ms
x
@-inf
(*.f64 (/.f64 x y) (+.f64 2 (*.f64 (/.f64 x y) -2)))
1.0ms
y
@inf
(*.f64 (/.f64 x y) (+.f64 2 (*.f64 (/.f64 x y) -2)))

rewrite72.0ms (1.2%)

Algorithm
batch-egg-rewrite
Rules
518×log-prod_binary64
356×pow-prod-down_binary64
349×prod-diff_binary64
267×pow2_binary64
188×pow1/3_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0916
120614
2293814
Stop Event
node limit
Counts
1 → 83
Calls
Call 1
Inputs
(*.f64 (/.f64 x y) (+.f64 2 (*.f64 (/.f64 x y) -2)))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 x y) 2) (*.f64 -2 (pow.f64 (/.f64 x y) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 -2 (pow.f64 (/.f64 x y) 2)) (*.f64 (/.f64 x y) 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (/.f64 x y) (fma.f64 (/.f64 x y) -2 2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 (/.f64 x y) 2) 1) (*.f64 (*.f64 -2 (pow.f64 (/.f64 x y) 2)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (fma.f64 (/.f64 x y) -2 2)) (/.f64 x y))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (fma.f64 (/.f64 x y) -2 2)) (/.f64 x y)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (fma.f64 (/.f64 x y) -2 2)) (/.f64 x y)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (fma.f64 (/.f64 x y) -2 2)) (/.f64 x y)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (/.f64 x y) (fma.f64 (/.f64 x y) -2 2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 x (/.f64 y (fma.f64 (/.f64 x y) -2 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 (/.f64 x y) -2 2) (/.f64 y x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 y (*.f64 x (fma.f64 (/.f64 x y) -2 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 -8 (pow.f64 (/.f64 x y) 3) 8) (*.f64 (/.f64 y x) (fma.f64 (/.f64 x (/.f64 y -2)) (fma.f64 (/.f64 x y) -2 -2) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 4 (*.f64 4 (pow.f64 (/.f64 x y) 2))) (*.f64 (/.f64 y x) (-.f64 2 (/.f64 x (/.f64 y -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x (fma.f64 (/.f64 x y) -2 2)) y)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 x (fma.f64 (/.f64 x y) -2 2))) (neg.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x (fma.f64 -8 (pow.f64 (/.f64 x y) 3) 8)) (*.f64 y (fma.f64 (/.f64 x (/.f64 y -2)) (fma.f64 (/.f64 x y) -2 -2) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 x) (fma.f64 -8 (pow.f64 (/.f64 x y) 3) 8)) (*.f64 (neg.f64 y) (fma.f64 (/.f64 x (/.f64 y -2)) (fma.f64 (/.f64 x y) -2 -2) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x (-.f64 4 (*.f64 4 (pow.f64 (/.f64 x y) 2)))) (*.f64 y (-.f64 2 (/.f64 x (/.f64 y -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 x) (-.f64 4 (*.f64 4 (pow.f64 (/.f64 x y) 2)))) (*.f64 (neg.f64 y) (-.f64 2 (/.f64 x (/.f64 y -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (fma.f64 -8 (pow.f64 (/.f64 x y) 3) 8) x) (*.f64 (fma.f64 (/.f64 x (/.f64 y -2)) (fma.f64 (/.f64 x y) -2 -2) 4) y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 4 (*.f64 4 (pow.f64 (/.f64 x y) 2))) x) (*.f64 (-.f64 2 (/.f64 x (/.f64 y -2))) y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (fma.f64 -8 (pow.f64 (/.f64 x y) 3) 8) 1) (*.f64 (fma.f64 (/.f64 x (/.f64 y -2)) (fma.f64 (/.f64 x y) -2 -2) 4) (/.f64 y x)))))) (#(struct:change #<rule 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(#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 x (fma.f64 (/.f64 x y) -2 2)) 1) y)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 x (fma.f64 (/.f64 x y) -2 2)) (cbrt.f64 (*.f64 y y))) (cbrt.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 x (fma.f64 (/.f64 x y) -2 2)) (sqrt.f64 y)) (sqrt.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 x) (fma.f64 (/.f64 x y) -2 2)) (neg.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (fma.f64 -8 (pow.f64 (/.f64 x y) 3) 8) (/.f64 x y)) (fma.f64 (/.f64 x (/.f64 y -2)) (fma.f64 (/.f64 x y) -2 -2) 4))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 4 (*.f64 4 (pow.f64 (/.f64 x y) 2))) (/.f64 x y)) (-.f64 2 (/.f64 x (/.f64 y -2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 x y) (fma.f64 -8 (pow.f64 (/.f64 x y) 3) 8)) (fma.f64 (/.f64 x (/.f64 y -2)) (fma.f64 (/.f64 x y) -2 -2) 4))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 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(#(struct:change #<rule egg-rr> (2) ((x fma.f64 -2 (pow.f64 (/.f64 x y) 2) (*.f64 (/.f64 x y) 2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 x (/.f64 y -2)) (/.f64 x y) (*.f64 (/.f64 x y) 2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 (/.f64 x y) 2) (*.f64 -2 (pow.f64 (/.f64 x y) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 -2 (pow.f64 (/.f64 x y) 2)) (*.f64 (/.f64 x y) 2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (/.f64 x y) 2) -2 (*.f64 (/.f64 x y) 2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (/.f64 x (/.f64 y -2))) 2) (*.f64 (cbrt.f64 (/.f64 x (/.f64 y -2))) (/.f64 x y)) (*.f64 (/.f64 x y) 2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (/.f64 x y)) 2) (*.f64 (cbrt.f64 (/.f64 x y)) (/.f64 x (/.f64 y -2))) (*.f64 (/.f64 x y) 2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (/.f64 x y)) 2) (*.f64 (cbrt.f64 (/.f64 x y)) 2) (*.f64 -2 (pow.f64 (/.f64 x y) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (/.f64 x (/.f64 y -2))) (*.f64 (sqrt.f64 (/.f64 x (/.f64 y -2))) (/.f64 x y)) (*.f64 (/.f64 x y) 2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (/.f64 x y)) (*.f64 (sqrt.f64 (/.f64 x y)) (/.f64 x (/.f64 y -2))) (*.f64 (/.f64 x y) 2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (/.f64 x y)) (*.f64 (sqrt.f64 (/.f64 x y)) 2) (*.f64 -2 (pow.f64 (/.f64 x y) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (/.f64 x y) 2) 1 (*.f64 (*.f64 -2 (pow.f64 (/.f64 x y) 2)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (*.f64 (/.f64 x y) 2)) 2) (cbrt.f64 (*.f64 (/.f64 x y) 2)) (*.f64 -2 (pow.f64 (/.f64 x y) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (*.f64 -2 (pow.f64 (/.f64 x y) 2))) 2) (cbrt.f64 (*.f64 -2 (pow.f64 (/.f64 x y) 2))) (*.f64 (/.f64 x y) 2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 (/.f64 x y) 2)) (sqrt.f64 (*.f64 (/.f64 x y) 2)) (*.f64 -2 (pow.f64 (/.f64 x y) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 -2 (pow.f64 (/.f64 x y) 2))) (sqrt.f64 (*.f64 -2 (pow.f64 (/.f64 x y) 2))) (*.f64 (/.f64 x y) 2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 2 x) (pow.f64 y -1) (*.f64 -2 (pow.f64 (/.f64 x y) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (/.f64 x (/.f64 y -2)) x) (pow.f64 y -1) (*.f64 (/.f64 x y) 2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 2 (pow.f64 (cbrt.f64 (/.f64 x y)) 2)) (cbrt.f64 (/.f64 x y)) (*.f64 -2 (pow.f64 (/.f64 x y) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 2 (sqrt.f64 (/.f64 x y))) (sqrt.f64 (/.f64 x y)) (*.f64 -2 (pow.f64 (/.f64 x y) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (/.f64 x (/.f64 y -2)) (pow.f64 (cbrt.f64 (/.f64 x y)) 2)) (cbrt.f64 (/.f64 x y)) (*.f64 (/.f64 x y) 2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (/.f64 x (/.f64 y -2)) (sqrt.f64 (/.f64 x y))) (sqrt.f64 (/.f64 x y)) (*.f64 (/.f64 x y) 2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (/.f64 x y) (pow.f64 (cbrt.f64 (/.f64 x (/.f64 y -2))) 2)) (cbrt.f64 (/.f64 x (/.f64 y -2))) (*.f64 (/.f64 x y) 2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (/.f64 x y) (sqrt.f64 (/.f64 x (/.f64 y -2)))) (sqrt.f64 (/.f64 x (/.f64 y -2))) (*.f64 (/.f64 x y) 2))))))

simplify93.0ms (1.5%)

Algorithm
egg-herbie
Rules
718×associate-/l*_binary64
581×fma-def_binary64
448×associate-/r*_binary64
366×unswap-sqr_binary64
365×associate-/l/_binary64
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
012420
128420
259420
3163348
4812312
55086312
66419312
77427312
87900312
Stop Event
node limit
Counts
107 → 89
Calls
Call 1
Inputs
(*.f64 2 (/.f64 x y))
(+.f64 (*.f64 -2 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (*.f64 2 (/.f64 x y)))
(+.f64 (*.f64 -2 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (*.f64 2 (/.f64 x y)))
(+.f64 (*.f64 -2 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (*.f64 2 (/.f64 x y)))
(*.f64 -2 (/.f64 (pow.f64 x 2) (pow.f64 y 2)))
(+.f64 (*.f64 -2 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (*.f64 2 (/.f64 x y)))
(+.f64 (*.f64 -2 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (*.f64 2 (/.f64 x y)))
(+.f64 (*.f64 -2 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (*.f64 2 (/.f64 x y)))
(*.f64 -2 (/.f64 (pow.f64 x 2) (pow.f64 y 2)))
(+.f64 (*.f64 -2 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (*.f64 2 (/.f64 x y)))
(+.f64 (*.f64 -2 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (*.f64 2 (/.f64 x y)))
(+.f64 (*.f64 -2 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (*.f64 2 (/.f64 x y)))
(*.f64 -2 (/.f64 (pow.f64 x 2) (pow.f64 y 2)))
(+.f64 (*.f64 -2 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (*.f64 2 (/.f64 x y)))
(+.f64 (*.f64 -2 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (*.f64 2 (/.f64 x y)))
(+.f64 (*.f64 -2 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (*.f64 2 (/.f64 x y)))
(*.f64 2 (/.f64 x y))
(+.f64 (*.f64 -2 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (*.f64 2 (/.f64 x y)))
(+.f64 (*.f64 -2 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (*.f64 2 (/.f64 x y)))
(+.f64 (*.f64 -2 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (*.f64 2 (/.f64 x y)))
(*.f64 2 (/.f64 x y))
(+.f64 (*.f64 -2 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (*.f64 2 (/.f64 x y)))
(+.f64 (*.f64 -2 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (*.f64 2 (/.f64 x y)))
(+.f64 (*.f64 -2 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (*.f64 2 (/.f64 x y)))
Outputs
(*.f64 2 (/.f64 x y))
(/.f64 (*.f64 2 x) y)
(*.f64 x (/.f64 2 y))
(+.f64 (*.f64 -2 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (*.f64 2 (/.f64 x y)))
(fma.f64 -2 (/.f64 (*.f64 x x) (*.f64 y y)) (/.f64 (*.f64 2 x) y))
(fma.f64 2 (/.f64 x y) (*.f64 -2 (*.f64 (/.f64 x y) (/.f64 x y))))
(fma.f64 2 (/.f64 x y) (*.f64 (/.f64 x y) (*.f64 (/.f64 x y) -2)))
(*.f64 (/.f64 x y) (+.f64 2 (*.f64 (/.f64 x y) -2)))
(*.f64 (/.f64 x y) (fma.f64 (/.f64 x y) -2 2))
(*.f64 (/.f64 x y) (fma.f64 x (/.f64 -2 y) 2))
(+.f64 (*.f64 -2 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (*.f64 2 (/.f64 x y)))
(fma.f64 -2 (/.f64 (*.f64 x x) (*.f64 y y)) (/.f64 (*.f64 2 x) y))
(fma.f64 2 (/.f64 x y) (*.f64 -2 (*.f64 (/.f64 x y) (/.f64 x y))))
(fma.f64 2 (/.f64 x y) (*.f64 (/.f64 x y) (*.f64 (/.f64 x y) -2)))
(*.f64 (/.f64 x y) (+.f64 2 (*.f64 (/.f64 x y) -2)))
(*.f64 (/.f64 x y) (fma.f64 (/.f64 x y) -2 2))
(*.f64 (/.f64 x y) (fma.f64 x (/.f64 -2 y) 2))
(+.f64 (*.f64 -2 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (*.f64 2 (/.f64 x y)))
(fma.f64 -2 (/.f64 (*.f64 x x) (*.f64 y y)) (/.f64 (*.f64 2 x) y))
(fma.f64 2 (/.f64 x y) (*.f64 -2 (*.f64 (/.f64 x y) (/.f64 x y))))
(fma.f64 2 (/.f64 x y) (*.f64 (/.f64 x y) (*.f64 (/.f64 x y) -2)))
(*.f64 (/.f64 x y) (+.f64 2 (*.f64 (/.f64 x y) -2)))
(*.f64 (/.f64 x y) (fma.f64 (/.f64 x y) -2 2))
(*.f64 (/.f64 x y) (fma.f64 x (/.f64 -2 y) 2))
(*.f64 -2 (/.f64 (pow.f64 x 2) (pow.f64 y 2)))
(/.f64 (*.f64 -2 (*.f64 x x)) (*.f64 y y))
(*.f64 -2 (*.f64 (/.f64 x y) (/.f64 x y)))
(*.f64 (/.f64 x y) (*.f64 (/.f64 x y) -2))
(*.f64 x (*.f64 (/.f64 -2 y) (/.f64 x y)))
(/.f64 -2 (/.f64 (*.f64 y y) (*.f64 x x)))
(+.f64 (*.f64 -2 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (*.f64 2 (/.f64 x y)))
(fma.f64 -2 (/.f64 (*.f64 x x) (*.f64 y y)) (/.f64 (*.f64 2 x) y))
(fma.f64 2 (/.f64 x y) (*.f64 -2 (*.f64 (/.f64 x y) (/.f64 x y))))
(fma.f64 2 (/.f64 x y) (*.f64 (/.f64 x y) (*.f64 (/.f64 x y) -2)))
(*.f64 (/.f64 x y) (+.f64 2 (*.f64 (/.f64 x y) -2)))
(*.f64 (/.f64 x y) (fma.f64 (/.f64 x y) -2 2))
(*.f64 (/.f64 x y) (fma.f64 x (/.f64 -2 y) 2))
(+.f64 (*.f64 -2 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (*.f64 2 (/.f64 x y)))
(fma.f64 -2 (/.f64 (*.f64 x x) (*.f64 y y)) (/.f64 (*.f64 2 x) y))
(fma.f64 2 (/.f64 x y) (*.f64 -2 (*.f64 (/.f64 x y) (/.f64 x y))))
(fma.f64 2 (/.f64 x y) (*.f64 (/.f64 x y) (*.f64 (/.f64 x y) -2)))
(*.f64 (/.f64 x y) (+.f64 2 (*.f64 (/.f64 x y) -2)))
(*.f64 (/.f64 x y) (fma.f64 (/.f64 x y) -2 2))
(*.f64 (/.f64 x y) (fma.f64 x (/.f64 -2 y) 2))
(+.f64 (*.f64 -2 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (*.f64 2 (/.f64 x y)))
(fma.f64 -2 (/.f64 (*.f64 x x) (*.f64 y y)) (/.f64 (*.f64 2 x) y))
(fma.f64 2 (/.f64 x y) (*.f64 -2 (*.f64 (/.f64 x y) (/.f64 x y))))
(fma.f64 2 (/.f64 x y) (*.f64 (/.f64 x y) (*.f64 (/.f64 x y) -2)))
(*.f64 (/.f64 x y) (+.f64 2 (*.f64 (/.f64 x y) -2)))
(*.f64 (/.f64 x y) (fma.f64 (/.f64 x y) -2 2))
(*.f64 (/.f64 x y) (fma.f64 x (/.f64 -2 y) 2))
(*.f64 -2 (/.f64 (pow.f64 x 2) (pow.f64 y 2)))
(/.f64 (*.f64 -2 (*.f64 x x)) (*.f64 y y))
(*.f64 -2 (*.f64 (/.f64 x y) (/.f64 x y)))
(*.f64 (/.f64 x y) (*.f64 (/.f64 x y) -2))
(*.f64 x (*.f64 (/.f64 -2 y) (/.f64 x y)))
(/.f64 -2 (/.f64 (*.f64 y y) (*.f64 x x)))
(+.f64 (*.f64 -2 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (*.f64 2 (/.f64 x y)))
(fma.f64 -2 (/.f64 (*.f64 x x) (*.f64 y y)) (/.f64 (*.f64 2 x) y))
(fma.f64 2 (/.f64 x y) (*.f64 -2 (*.f64 (/.f64 x y) (/.f64 x y))))
(fma.f64 2 (/.f64 x y) (*.f64 (/.f64 x y) (*.f64 (/.f64 x y) -2)))
(*.f64 (/.f64 x y) (+.f64 2 (*.f64 (/.f64 x y) -2)))
(*.f64 (/.f64 x y) (fma.f64 (/.f64 x y) -2 2))
(*.f64 (/.f64 x y) (fma.f64 x (/.f64 -2 y) 2))
(+.f64 (*.f64 -2 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (*.f64 2 (/.f64 x y)))
(fma.f64 -2 (/.f64 (*.f64 x x) (*.f64 y y)) (/.f64 (*.f64 2 x) y))
(fma.f64 2 (/.f64 x y) (*.f64 -2 (*.f64 (/.f64 x y) (/.f64 x y))))
(fma.f64 2 (/.f64 x y) (*.f64 (/.f64 x y) (*.f64 (/.f64 x y) -2)))
(*.f64 (/.f64 x y) (+.f64 2 (*.f64 (/.f64 x y) -2)))
(*.f64 (/.f64 x y) (fma.f64 (/.f64 x y) -2 2))
(*.f64 (/.f64 x y) (fma.f64 x (/.f64 -2 y) 2))
(+.f64 (*.f64 -2 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (*.f64 2 (/.f64 x y)))
(fma.f64 -2 (/.f64 (*.f64 x x) (*.f64 y y)) (/.f64 (*.f64 2 x) y))
(fma.f64 2 (/.f64 x y) (*.f64 -2 (*.f64 (/.f64 x y) (/.f64 x y))))
(fma.f64 2 (/.f64 x y) (*.f64 (/.f64 x y) (*.f64 (/.f64 x y) -2)))
(*.f64 (/.f64 x y) (+.f64 2 (*.f64 (/.f64 x y) -2)))
(*.f64 (/.f64 x y) (fma.f64 (/.f64 x y) -2 2))
(*.f64 (/.f64 x y) (fma.f64 x (/.f64 -2 y) 2))
(*.f64 -2 (/.f64 (pow.f64 x 2) (pow.f64 y 2)))
(/.f64 (*.f64 -2 (*.f64 x x)) (*.f64 y y))
(*.f64 -2 (*.f64 (/.f64 x y) (/.f64 x y)))
(*.f64 (/.f64 x y) (*.f64 (/.f64 x y) -2))
(*.f64 x (*.f64 (/.f64 -2 y) (/.f64 x y)))
(/.f64 -2 (/.f64 (*.f64 y y) (*.f64 x x)))
(+.f64 (*.f64 -2 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (*.f64 2 (/.f64 x y)))
(fma.f64 -2 (/.f64 (*.f64 x x) (*.f64 y y)) (/.f64 (*.f64 2 x) y))
(fma.f64 2 (/.f64 x y) (*.f64 -2 (*.f64 (/.f64 x y) (/.f64 x y))))
(fma.f64 2 (/.f64 x y) (*.f64 (/.f64 x y) (*.f64 (/.f64 x y) -2)))
(*.f64 (/.f64 x y) (+.f64 2 (*.f64 (/.f64 x y) -2)))
(*.f64 (/.f64 x y) (fma.f64 (/.f64 x y) -2 2))
(*.f64 (/.f64 x y) (fma.f64 x (/.f64 -2 y) 2))
(+.f64 (*.f64 -2 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (*.f64 2 (/.f64 x y)))
(fma.f64 -2 (/.f64 (*.f64 x x) (*.f64 y y)) (/.f64 (*.f64 2 x) y))
(fma.f64 2 (/.f64 x y) (*.f64 -2 (*.f64 (/.f64 x y) (/.f64 x y))))
(fma.f64 2 (/.f64 x y) (*.f64 (/.f64 x y) (*.f64 (/.f64 x y) -2)))
(*.f64 (/.f64 x y) (+.f64 2 (*.f64 (/.f64 x y) -2)))
(*.f64 (/.f64 x y) (fma.f64 (/.f64 x y) -2 2))
(*.f64 (/.f64 x y) (fma.f64 x (/.f64 -2 y) 2))
(+.f64 (*.f64 -2 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (*.f64 2 (/.f64 x y)))
(fma.f64 -2 (/.f64 (*.f64 x x) (*.f64 y y)) (/.f64 (*.f64 2 x) y))
(fma.f64 2 (/.f64 x y) (*.f64 -2 (*.f64 (/.f64 x y) (/.f64 x y))))
(fma.f64 2 (/.f64 x y) (*.f64 (/.f64 x y) (*.f64 (/.f64 x y) -2)))
(*.f64 (/.f64 x y) (+.f64 2 (*.f64 (/.f64 x y) -2)))
(*.f64 (/.f64 x y) (fma.f64 (/.f64 x y) -2 2))
(*.f64 (/.f64 x y) (fma.f64 x (/.f64 -2 y) 2))
(*.f64 2 (/.f64 x y))
(/.f64 (*.f64 2 x) y)
(*.f64 x (/.f64 2 y))
(+.f64 (*.f64 -2 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (*.f64 2 (/.f64 x y)))
(fma.f64 -2 (/.f64 (*.f64 x x) (*.f64 y y)) (/.f64 (*.f64 2 x) y))
(fma.f64 2 (/.f64 x y) (*.f64 -2 (*.f64 (/.f64 x y) (/.f64 x y))))
(fma.f64 2 (/.f64 x y) (*.f64 (/.f64 x y) (*.f64 (/.f64 x y) -2)))
(*.f64 (/.f64 x y) (+.f64 2 (*.f64 (/.f64 x y) -2)))
(*.f64 (/.f64 x y) (fma.f64 (/.f64 x y) -2 2))
(*.f64 (/.f64 x y) (fma.f64 x (/.f64 -2 y) 2))
(+.f64 (*.f64 -2 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (*.f64 2 (/.f64 x y)))
(fma.f64 -2 (/.f64 (*.f64 x x) (*.f64 y y)) (/.f64 (*.f64 2 x) y))
(fma.f64 2 (/.f64 x y) (*.f64 -2 (*.f64 (/.f64 x y) (/.f64 x y))))
(fma.f64 2 (/.f64 x y) (*.f64 (/.f64 x y) (*.f64 (/.f64 x y) -2)))
(*.f64 (/.f64 x y) (+.f64 2 (*.f64 (/.f64 x y) -2)))
(*.f64 (/.f64 x y) (fma.f64 (/.f64 x y) -2 2))
(*.f64 (/.f64 x y) (fma.f64 x (/.f64 -2 y) 2))
(+.f64 (*.f64 -2 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (*.f64 2 (/.f64 x y)))
(fma.f64 -2 (/.f64 (*.f64 x x) (*.f64 y y)) (/.f64 (*.f64 2 x) y))
(fma.f64 2 (/.f64 x y) (*.f64 -2 (*.f64 (/.f64 x y) (/.f64 x y))))
(fma.f64 2 (/.f64 x y) (*.f64 (/.f64 x y) (*.f64 (/.f64 x y) -2)))
(*.f64 (/.f64 x y) (+.f64 2 (*.f64 (/.f64 x y) -2)))
(*.f64 (/.f64 x y) (fma.f64 (/.f64 x y) -2 2))
(*.f64 (/.f64 x y) (fma.f64 x (/.f64 -2 y) 2))
(*.f64 2 (/.f64 x y))
(/.f64 (*.f64 2 x) y)
(*.f64 x (/.f64 2 y))
(+.f64 (*.f64 -2 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (*.f64 2 (/.f64 x y)))
(fma.f64 -2 (/.f64 (*.f64 x x) (*.f64 y y)) (/.f64 (*.f64 2 x) y))
(fma.f64 2 (/.f64 x y) (*.f64 -2 (*.f64 (/.f64 x y) (/.f64 x y))))
(fma.f64 2 (/.f64 x y) (*.f64 (/.f64 x y) (*.f64 (/.f64 x y) -2)))
(*.f64 (/.f64 x y) (+.f64 2 (*.f64 (/.f64 x y) -2)))
(*.f64 (/.f64 x y) (fma.f64 (/.f64 x y) -2 2))
(*.f64 (/.f64 x y) (fma.f64 x (/.f64 -2 y) 2))
(+.f64 (*.f64 -2 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (*.f64 2 (/.f64 x y)))
(fma.f64 -2 (/.f64 (*.f64 x x) (*.f64 y y)) (/.f64 (*.f64 2 x) y))
(fma.f64 2 (/.f64 x y) (*.f64 -2 (*.f64 (/.f64 x y) (/.f64 x y))))
(fma.f64 2 (/.f64 x y) (*.f64 (/.f64 x y) (*.f64 (/.f64 x y) -2)))
(*.f64 (/.f64 x y) (+.f64 2 (*.f64 (/.f64 x y) -2)))
(*.f64 (/.f64 x y) (fma.f64 (/.f64 x y) -2 2))
(*.f64 (/.f64 x y) (fma.f64 x (/.f64 -2 y) 2))
(+.f64 (*.f64 -2 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (*.f64 2 (/.f64 x y)))
(fma.f64 -2 (/.f64 (*.f64 x x) (*.f64 y y)) (/.f64 (*.f64 2 x) y))
(fma.f64 2 (/.f64 x y) (*.f64 -2 (*.f64 (/.f64 x y) (/.f64 x y))))
(fma.f64 2 (/.f64 x y) (*.f64 (/.f64 x y) (*.f64 (/.f64 x y) -2)))
(*.f64 (/.f64 x y) (+.f64 2 (*.f64 (/.f64 x y) -2)))
(*.f64 (/.f64 x y) (fma.f64 (/.f64 x y) -2 2))
(*.f64 (/.f64 x y) (fma.f64 x (/.f64 -2 y) 2))

localize14.0ms (0.2%)

Local error

Found 3 expressions with local error:

NewErrorProgram
0.0b
(log1p.f64 (expm1.f64 (/.f64 (-.f64 x y) (+.f64 x y))))
0.0b
(/.f64 (-.f64 x y) (+.f64 x y))
0.5b
(expm1.f64 (/.f64 (-.f64 x y) (+.f64 x y)))
Compiler

Compiled 34 to 7 computations (79.4% saved)

series8.0ms (0.1%)

Counts
2 → 48
Calls

12 calls:

TimeVariablePointExpression
1.0ms
x
@0
(expm1.f64 (/.f64 (-.f64 x y) (+.f64 x y)))
1.0ms
x
@inf
(expm1.f64 (/.f64 (-.f64 x y) (+.f64 x y)))
1.0ms
y
@inf
(expm1.f64 (/.f64 (-.f64 x y) (+.f64 x y)))
1.0ms
y
@-inf
(expm1.f64 (/.f64 (-.f64 x y) (+.f64 x y)))
1.0ms
y
@0
(expm1.f64 (/.f64 (-.f64 x y) (+.f64 x y)))

rewrite139.0ms (2.3%)

Algorithm
batch-egg-rewrite
Rules
803×prod-diff_binary64
642×unpow-prod-down_binary64
443×log-prod_binary64
276×egg-rr
257×fma-def_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0822
116522
2250722
Stop Event
node limit
Counts
2 → 309
Calls
Call 1
Inputs
(expm1.f64 (/.f64 (-.f64 x y) (+.f64 x y)))
(log1p.f64 (expm1.f64 (/.f64 (-.f64 x y) (+.f64 x y))))
Outputs
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simplify103.0ms (1.7%)

Algorithm
egg-herbie
Rules
714×associate-/l*_binary64
641×associate-/r*_binary64
620×associate-*r*_binary64
528×associate-*l*_binary64
219×associate-*l/_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
02071520
16731291
224231023
Stop Event
node limit
Counts
357 → 363
Calls
Call 1
Inputs
(-.f64 (exp.f64 -1) 1)
(-.f64 (+.f64 (*.f64 2 (/.f64 (*.f64 (exp.f64 -1) x) y)) (exp.f64 -1)) 1)
(-.f64 (+.f64 (*.f64 2 (/.f64 (*.f64 (exp.f64 -1) x) y)) (+.f64 (*.f64 -2/3 (/.f64 (*.f64 (exp.f64 -1) (pow.f64 x 3)) (pow.f64 y 3))) (exp.f64 -1))) 1)
(-.f64 (+.f64 (*.f64 2 (/.f64 (*.f64 (exp.f64 -1) x) y)) (+.f64 (*.f64 -2/3 (/.f64 (*.f64 (exp.f64 -1) (pow.f64 x 3)) (pow.f64 y 3))) (+.f64 (exp.f64 -1) (*.f64 2/3 (/.f64 (*.f64 (exp.f64 -1) (pow.f64 x 4)) (pow.f64 y 4)))))) 1)
(-.f64 (E.f64) 1)
(-.f64 (+.f64 (E.f64) (/.f64 (*.f64 (E.f64) (-.f64 (*.f64 -1 y) y)) x)) 1)
(-.f64 (+.f64 (E.f64) (+.f64 (/.f64 (*.f64 (E.f64) (-.f64 (*.f64 -1 y) y)) x) (/.f64 (*.f64 (E.f64) (+.f64 (*.f64 -1 (*.f64 y (-.f64 (*.f64 -1 y) y))) (*.f64 1/2 (pow.f64 (-.f64 (*.f64 -1 y) y) 2)))) (pow.f64 x 2)))) 1)
(-.f64 (+.f64 (E.f64) (+.f64 (/.f64 (*.f64 (E.f64) (-.f64 (*.f64 -1 y) y)) x) (+.f64 (/.f64 (*.f64 (E.f64) (+.f64 (*.f64 (pow.f64 y 2) (-.f64 (*.f64 -1 y) y)) (+.f64 (*.f64 1/6 (pow.f64 (-.f64 (*.f64 -1 y) y) 3)) (*.f64 -1 (*.f64 y (pow.f64 (-.f64 (*.f64 -1 y) y) 2)))))) (pow.f64 x 3)) (/.f64 (*.f64 (E.f64) (+.f64 (*.f64 -1 (*.f64 y (-.f64 (*.f64 -1 y) y))) (*.f64 1/2 (pow.f64 (-.f64 (*.f64 -1 y) y) 2)))) (pow.f64 x 2))))) 1)
(-.f64 (E.f64) 1)
(-.f64 (+.f64 (E.f64) (/.f64 (*.f64 (E.f64) (-.f64 (*.f64 -1 y) y)) x)) 1)
(-.f64 (+.f64 (E.f64) (+.f64 (/.f64 (*.f64 (E.f64) (-.f64 (*.f64 -1 y) y)) x) (/.f64 (*.f64 (E.f64) (+.f64 (*.f64 -1 (*.f64 y (-.f64 (*.f64 -1 y) y))) (*.f64 1/2 (pow.f64 (-.f64 (*.f64 -1 y) y) 2)))) (pow.f64 x 2)))) 1)
(-.f64 (+.f64 (E.f64) (+.f64 (/.f64 (*.f64 (E.f64) (-.f64 (*.f64 -1 y) y)) x) (+.f64 (*.f64 -1 (/.f64 (*.f64 (E.f64) (+.f64 (*.f64 y (pow.f64 (-.f64 (*.f64 -1 y) y) 2)) (+.f64 (*.f64 -1/6 (pow.f64 (-.f64 (*.f64 -1 y) y) 3)) (*.f64 -1 (*.f64 (pow.f64 y 2) (-.f64 (*.f64 -1 y) y)))))) (pow.f64 x 3))) (/.f64 (*.f64 (E.f64) (+.f64 (*.f64 -1 (*.f64 y (-.f64 (*.f64 -1 y) y))) (*.f64 1/2 (pow.f64 (-.f64 (*.f64 -1 y) y) 2)))) (pow.f64 x 2))))) 1)
(-.f64 (E.f64) 1)
(-.f64 (+.f64 (E.f64) (*.f64 -2 (/.f64 (*.f64 (E.f64) y) x))) 1)
(-.f64 (+.f64 (E.f64) (+.f64 (*.f64 -2 (/.f64 (*.f64 (E.f64) y) x)) (*.f64 4 (/.f64 (*.f64 (E.f64) (pow.f64 y 2)) (pow.f64 x 2))))) 1)
(-.f64 (+.f64 (*.f64 -22/3 (/.f64 (*.f64 (E.f64) (pow.f64 y 3)) (pow.f64 x 3))) (+.f64 (E.f64) (+.f64 (*.f64 -2 (/.f64 (*.f64 (E.f64) y) x)) (*.f64 4 (/.f64 (*.f64 (E.f64) (pow.f64 y 2)) (pow.f64 x 2)))))) 1)
(-.f64 (exp.f64 -1) 1)
(-.f64 (+.f64 (/.f64 (*.f64 (-.f64 x (*.f64 -1 x)) (exp.f64 -1)) y) (exp.f64 -1)) 1)
(-.f64 (+.f64 (/.f64 (*.f64 (+.f64 (*.f64 -1 (*.f64 (-.f64 x (*.f64 -1 x)) x)) (*.f64 1/2 (pow.f64 (-.f64 x (*.f64 -1 x)) 2))) (exp.f64 -1)) (pow.f64 y 2)) (+.f64 (/.f64 (*.f64 (-.f64 x (*.f64 -1 x)) (exp.f64 -1)) y) (exp.f64 -1))) 1)
(-.f64 (+.f64 (/.f64 (*.f64 (+.f64 (*.f64 -1 (*.f64 (-.f64 x (*.f64 -1 x)) x)) (*.f64 1/2 (pow.f64 (-.f64 x (*.f64 -1 x)) 2))) (exp.f64 -1)) (pow.f64 y 2)) (+.f64 (/.f64 (*.f64 (+.f64 (*.f64 (-.f64 x (*.f64 -1 x)) (pow.f64 x 2)) (+.f64 (*.f64 -1 (*.f64 (pow.f64 (-.f64 x (*.f64 -1 x)) 2) x)) (*.f64 1/6 (pow.f64 (-.f64 x (*.f64 -1 x)) 3)))) (exp.f64 -1)) (pow.f64 y 3)) (+.f64 (/.f64 (*.f64 (-.f64 x (*.f64 -1 x)) (exp.f64 -1)) y) (exp.f64 -1)))) 1)
(-.f64 (exp.f64 -1) 1)
(-.f64 (+.f64 (*.f64 -1 (/.f64 (*.f64 (exp.f64 -1) (-.f64 (*.f64 -1 x) x)) y)) (exp.f64 -1)) 1)
(-.f64 (+.f64 (/.f64 (*.f64 (+.f64 (*.f64 1/2 (pow.f64 (-.f64 (*.f64 -1 x) x) 2)) (*.f64 (-.f64 (*.f64 -1 x) x) x)) (exp.f64 -1)) (pow.f64 y 2)) (+.f64 (*.f64 -1 (/.f64 (*.f64 (exp.f64 -1) (-.f64 (*.f64 -1 x) x)) y)) (exp.f64 -1))) 1)
(-.f64 (+.f64 (/.f64 (*.f64 (+.f64 (*.f64 1/2 (pow.f64 (-.f64 (*.f64 -1 x) x) 2)) (*.f64 (-.f64 (*.f64 -1 x) x) x)) (exp.f64 -1)) (pow.f64 y 2)) (+.f64 (*.f64 -1 (/.f64 (*.f64 (exp.f64 -1) (-.f64 (*.f64 -1 x) x)) y)) (+.f64 (exp.f64 -1) (*.f64 -1 (/.f64 (*.f64 (exp.f64 -1) (+.f64 (*.f64 (-.f64 (*.f64 -1 x) x) (pow.f64 x 2)) (+.f64 (*.f64 1/6 (pow.f64 (-.f64 (*.f64 -1 x) x) 3)) (*.f64 (pow.f64 (-.f64 (*.f64 -1 x) x) 2) x)))) (pow.f64 y 3)))))) 1)
-1
(-.f64 (*.f64 2 (/.f64 x y)) 1)
(-.f64 (+.f64 (*.f64 -2 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (*.f64 2 (/.f64 x y))) 1)
(-.f64 (+.f64 (*.f64 -2 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (+.f64 (*.f64 2 (/.f64 (pow.f64 x 3) (pow.f64 y 3))) (*.f64 2 (/.f64 x y)))) 1)
1
(-.f64 (+.f64 1 (*.f64 -1 (/.f64 y x))) (/.f64 y x))
(-.f64 (+.f64 1 (+.f64 (*.f64 -1 (/.f64 (*.f64 y (-.f64 (*.f64 -1 y) y)) (pow.f64 x 2))) (*.f64 -1 (/.f64 y x)))) (/.f64 y x))
(-.f64 (+.f64 (/.f64 (*.f64 (pow.f64 y 2) (-.f64 (*.f64 -1 y) y)) (pow.f64 x 3)) (+.f64 1 (+.f64 (*.f64 -1 (/.f64 (*.f64 y (-.f64 (*.f64 -1 y) y)) (pow.f64 x 2))) (*.f64 -1 (/.f64 y x))))) (/.f64 y x))
1
(-.f64 (+.f64 1 (*.f64 -1 (/.f64 y x))) (/.f64 y x))
(-.f64 (+.f64 1 (+.f64 (*.f64 -1 (/.f64 (*.f64 y (-.f64 (*.f64 -1 y) y)) (pow.f64 x 2))) (*.f64 -1 (/.f64 y x)))) (/.f64 y x))
(-.f64 (+.f64 (/.f64 (*.f64 (pow.f64 y 2) (-.f64 (*.f64 -1 y) y)) (pow.f64 x 3)) (+.f64 1 (+.f64 (*.f64 -1 (/.f64 (*.f64 y (-.f64 (*.f64 -1 y) y)) (pow.f64 x 2))) (*.f64 -1 (/.f64 y x))))) (/.f64 y x))
1
(+.f64 1 (*.f64 -2 (/.f64 y x)))
(+.f64 1 (+.f64 (*.f64 -2 (/.f64 y x)) (*.f64 2 (/.f64 (pow.f64 y 2) (pow.f64 x 2)))))
(+.f64 (*.f64 -2 (/.f64 (pow.f64 y 3) (pow.f64 x 3))) (+.f64 1 (+.f64 (*.f64 -2 (/.f64 y x)) (*.f64 2 (/.f64 (pow.f64 y 2) (pow.f64 x 2))))))
-1
(-.f64 (/.f64 x y) (+.f64 1 (*.f64 -1 (/.f64 x y))))
(-.f64 (+.f64 (/.f64 x y) (*.f64 -1 (/.f64 (*.f64 (-.f64 x (*.f64 -1 x)) x) (pow.f64 y 2)))) (+.f64 1 (*.f64 -1 (/.f64 x y))))
(-.f64 (+.f64 (/.f64 (*.f64 (-.f64 x (*.f64 -1 x)) (pow.f64 x 2)) (pow.f64 y 3)) (+.f64 (/.f64 x y) (*.f64 -1 (/.f64 (*.f64 (-.f64 x (*.f64 -1 x)) x) (pow.f64 y 2))))) (+.f64 1 (*.f64 -1 (/.f64 x y))))
-1
(-.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 x) x) y)) 1)
(-.f64 (+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 x) x) y)) (/.f64 (*.f64 (-.f64 (*.f64 -1 x) x) x) (pow.f64 y 2))) 1)
(-.f64 (+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 x) x) y)) (+.f64 (*.f64 -1 (/.f64 (*.f64 (-.f64 (*.f64 -1 x) x) (pow.f64 x 2)) (pow.f64 y 3))) (/.f64 (*.f64 (-.f64 (*.f64 -1 x) x) x) (pow.f64 y 2)))) 1)
Outputs
(-.f64 (exp.f64 -1) 1)
(expm1.f64 -1)
(-.f64 (+.f64 (*.f64 2 (/.f64 (*.f64 (exp.f64 -1) x) y)) (exp.f64 -1)) 1)
(+.f64 (*.f64 2 (/.f64 (exp.f64 -1) (/.f64 y x))) (expm1.f64 -1))
(fma.f64 2 (*.f64 (/.f64 (exp.f64 -1) y) x) (expm1.f64 -1))
(fma.f64 2 (*.f64 (/.f64 x y) (exp.f64 -1)) (expm1.f64 -1))
(-.f64 (+.f64 (*.f64 2 (/.f64 (*.f64 (exp.f64 -1) x) y)) (+.f64 (*.f64 -2/3 (/.f64 (*.f64 (exp.f64 -1) (pow.f64 x 3)) (pow.f64 y 3))) (exp.f64 -1))) 1)
(+.f64 (fma.f64 2 (/.f64 (exp.f64 -1) (/.f64 y x)) (fma.f64 -2/3 (/.f64 (*.f64 (exp.f64 -1) (pow.f64 x 3)) (pow.f64 y 3)) (exp.f64 -1))) -1)
(+.f64 (fma.f64 2 (*.f64 (/.f64 (exp.f64 -1) y) x) (/.f64 (*.f64 (exp.f64 -1) -2/3) (/.f64 (pow.f64 y 3) (pow.f64 x 3)))) (expm1.f64 -1))
(+.f64 (fma.f64 2 (*.f64 (/.f64 x y) (exp.f64 -1)) (*.f64 -2/3 (*.f64 (pow.f64 (/.f64 x y) 3) (exp.f64 -1)))) (expm1.f64 -1))
(-.f64 (+.f64 (*.f64 2 (/.f64 (*.f64 (exp.f64 -1) x) y)) (+.f64 (*.f64 -2/3 (/.f64 (*.f64 (exp.f64 -1) (pow.f64 x 3)) (pow.f64 y 3))) (+.f64 (exp.f64 -1) (*.f64 2/3 (/.f64 (*.f64 (exp.f64 -1) (pow.f64 x 4)) (pow.f64 y 4)))))) 1)
(+.f64 (fma.f64 2 (/.f64 (exp.f64 -1) (/.f64 y x)) (+.f64 (fma.f64 -2/3 (/.f64 (*.f64 (exp.f64 -1) (pow.f64 x 3)) (pow.f64 y 3)) (exp.f64 -1)) (*.f64 2/3 (/.f64 (*.f64 (exp.f64 -1) (pow.f64 x 4)) (pow.f64 y 4))))) -1)
(fma.f64 2 (*.f64 (/.f64 (exp.f64 -1) y) x) (+.f64 (fma.f64 -2/3 (*.f64 (/.f64 (exp.f64 -1) (pow.f64 y 3)) (pow.f64 x 3)) (fma.f64 2/3 (/.f64 (exp.f64 -1) (/.f64 (pow.f64 y 4) (pow.f64 x 4))) (exp.f64 -1))) -1))
(+.f64 (fma.f64 -2/3 (*.f64 (pow.f64 (/.f64 x y) 3) (exp.f64 -1)) (fma.f64 2/3 (*.f64 (/.f64 (exp.f64 -1) (pow.f64 y 4)) (pow.f64 x 4)) (exp.f64 -1))) (fma.f64 2 (*.f64 (/.f64 x y) (exp.f64 -1)) -1))
(-.f64 (E.f64) 1)
(+.f64 (E.f64) -1)
(expm1.f64 1)
(-.f64 (+.f64 (E.f64) (/.f64 (*.f64 (E.f64) (-.f64 (*.f64 -1 y) y)) x)) 1)
(+.f64 (E.f64) (-.f64 (/.f64 (E.f64) (/.f64 x (-.f64 (neg.f64 y) y))) 1))
(+.f64 -1 (fma.f64 -2 (*.f64 (/.f64 (E.f64) x) y) (E.f64)))
(+.f64 (*.f64 (/.f64 -2 x) (*.f64 y (E.f64))) (expm1.f64 1))
(-.f64 (+.f64 (E.f64) (+.f64 (/.f64 (*.f64 (E.f64) (-.f64 (*.f64 -1 y) y)) x) (/.f64 (*.f64 (E.f64) (+.f64 (*.f64 -1 (*.f64 y (-.f64 (*.f64 -1 y) y))) (*.f64 1/2 (pow.f64 (-.f64 (*.f64 -1 y) y) 2)))) (pow.f64 x 2)))) 1)
(+.f64 (E.f64) (-.f64 (+.f64 (/.f64 (E.f64) (/.f64 x (-.f64 (neg.f64 y) y))) (/.f64 (E.f64) (/.f64 (*.f64 x x) (fma.f64 -1 (*.f64 y (-.f64 (neg.f64 y) y)) (*.f64 1/2 (pow.f64 (-.f64 (neg.f64 y) y) 2)))))) 1))
(+.f64 -1 (+.f64 (fma.f64 -2 (*.f64 (/.f64 (E.f64) x) y) (E.f64)) (*.f64 (/.f64 (E.f64) x) (/.f64 (-.f64 (*.f64 1/2 (pow.f64 (*.f64 y -2) 2)) (*.f64 y (*.f64 y -2))) x))))
(+.f64 (*.f64 (/.f64 (E.f64) x) (+.f64 (*.f64 y -2) (/.f64 (*.f64 4 (*.f64 y y)) x))) (expm1.f64 1))
(-.f64 (+.f64 (E.f64) (+.f64 (/.f64 (*.f64 (E.f64) (-.f64 (*.f64 -1 y) y)) x) (+.f64 (/.f64 (*.f64 (E.f64) (+.f64 (*.f64 (pow.f64 y 2) (-.f64 (*.f64 -1 y) y)) (+.f64 (*.f64 1/6 (pow.f64 (-.f64 (*.f64 -1 y) y) 3)) (*.f64 -1 (*.f64 y (pow.f64 (-.f64 (*.f64 -1 y) y) 2)))))) (pow.f64 x 3)) (/.f64 (*.f64 (E.f64) (+.f64 (*.f64 -1 (*.f64 y (-.f64 (*.f64 -1 y) y))) (*.f64 1/2 (pow.f64 (-.f64 (*.f64 -1 y) y) 2)))) (pow.f64 x 2))))) 1)
(+.f64 (E.f64) (-.f64 (+.f64 (/.f64 (E.f64) (/.f64 x (-.f64 (neg.f64 y) y))) (+.f64 (/.f64 (E.f64) (/.f64 (*.f64 x x) (fma.f64 -1 (*.f64 y (-.f64 (neg.f64 y) y)) (*.f64 1/2 (pow.f64 (-.f64 (neg.f64 y) y) 2))))) (/.f64 (E.f64) (/.f64 (pow.f64 x 3) (fma.f64 (*.f64 y y) (-.f64 (neg.f64 y) y) (fma.f64 1/6 (pow.f64 (-.f64 (neg.f64 y) y) 3) (*.f64 (neg.f64 y) (pow.f64 (-.f64 (neg.f64 y) y) 2)))))))) 1))
(+.f64 -1 (+.f64 (fma.f64 -2 (*.f64 (/.f64 (E.f64) x) y) (E.f64)) (+.f64 (*.f64 (/.f64 (E.f64) x) (/.f64 (-.f64 (*.f64 1/2 (pow.f64 (*.f64 y -2) 2)) (*.f64 y (*.f64 y -2))) x)) (*.f64 (/.f64 (E.f64) (pow.f64 x 3)) (+.f64 (*.f64 (pow.f64 y 3) -2) (fma.f64 1/6 (pow.f64 (*.f64 y -2) 3) (*.f64 y (neg.f64 (pow.f64 (*.f64 y -2) 2)))))))))
(+.f64 -1 (+.f64 (fma.f64 -2 (*.f64 (/.f64 y x) (E.f64)) (E.f64)) (*.f64 (/.f64 (E.f64) (*.f64 x x)) (+.f64 (*.f64 4 (*.f64 y y)) (/.f64 (+.f64 (*.f64 (pow.f64 y 3) -2) (*.f64 (*.f64 4 (*.f64 y y)) (-.f64 (*.f64 -1/3 y) y))) x)))))
(-.f64 (E.f64) 1)
(+.f64 (E.f64) -1)
(expm1.f64 1)
(-.f64 (+.f64 (E.f64) (/.f64 (*.f64 (E.f64) (-.f64 (*.f64 -1 y) y)) x)) 1)
(+.f64 (E.f64) (-.f64 (/.f64 (E.f64) (/.f64 x (-.f64 (neg.f64 y) y))) 1))
(+.f64 -1 (fma.f64 -2 (*.f64 (/.f64 (E.f64) x) y) (E.f64)))
(+.f64 (*.f64 (/.f64 -2 x) (*.f64 y (E.f64))) (expm1.f64 1))
(-.f64 (+.f64 (E.f64) (+.f64 (/.f64 (*.f64 (E.f64) (-.f64 (*.f64 -1 y) y)) x) (/.f64 (*.f64 (E.f64) (+.f64 (*.f64 -1 (*.f64 y (-.f64 (*.f64 -1 y) y))) (*.f64 1/2 (pow.f64 (-.f64 (*.f64 -1 y) y) 2)))) (pow.f64 x 2)))) 1)
(+.f64 (E.f64) (-.f64 (+.f64 (/.f64 (E.f64) (/.f64 x (-.f64 (neg.f64 y) y))) (/.f64 (E.f64) (/.f64 (*.f64 x x) (fma.f64 -1 (*.f64 y (-.f64 (neg.f64 y) y)) (*.f64 1/2 (pow.f64 (-.f64 (neg.f64 y) y) 2)))))) 1))
(+.f64 -1 (+.f64 (fma.f64 -2 (*.f64 (/.f64 (E.f64) x) y) (E.f64)) (*.f64 (/.f64 (E.f64) x) (/.f64 (-.f64 (*.f64 1/2 (pow.f64 (*.f64 y -2) 2)) (*.f64 y (*.f64 y -2))) x))))
(+.f64 (*.f64 (/.f64 (E.f64) x) (+.f64 (*.f64 y -2) (/.f64 (*.f64 4 (*.f64 y y)) x))) (expm1.f64 1))
(-.f64 (+.f64 (E.f64) (+.f64 (/.f64 (*.f64 (E.f64) (-.f64 (*.f64 -1 y) y)) x) (+.f64 (*.f64 -1 (/.f64 (*.f64 (E.f64) (+.f64 (*.f64 y (pow.f64 (-.f64 (*.f64 -1 y) y) 2)) (+.f64 (*.f64 -1/6 (pow.f64 (-.f64 (*.f64 -1 y) y) 3)) (*.f64 -1 (*.f64 (pow.f64 y 2) (-.f64 (*.f64 -1 y) y)))))) (pow.f64 x 3))) (/.f64 (*.f64 (E.f64) (+.f64 (*.f64 -1 (*.f64 y (-.f64 (*.f64 -1 y) y))) (*.f64 1/2 (pow.f64 (-.f64 (*.f64 -1 y) y) 2)))) (pow.f64 x 2))))) 1)
(+.f64 (E.f64) (-.f64 (+.f64 (/.f64 (E.f64) (/.f64 x (-.f64 (neg.f64 y) y))) (fma.f64 -1 (/.f64 (E.f64) (/.f64 (pow.f64 x 3) (fma.f64 y (pow.f64 (-.f64 (neg.f64 y) y) 2) (fma.f64 -1/6 (pow.f64 (-.f64 (neg.f64 y) y) 3) (neg.f64 (*.f64 (-.f64 (neg.f64 y) y) (*.f64 y y))))))) (/.f64 (E.f64) (/.f64 (*.f64 x x) (fma.f64 -1 (*.f64 y (-.f64 (neg.f64 y) y)) (*.f64 1/2 (pow.f64 (-.f64 (neg.f64 y) y) 2))))))) 1))
(+.f64 -1 (+.f64 (fma.f64 -2 (*.f64 (/.f64 (E.f64) x) y) (E.f64)) (-.f64 (*.f64 (/.f64 (E.f64) x) (/.f64 (-.f64 (*.f64 1/2 (pow.f64 (*.f64 y -2) 2)) (*.f64 y (*.f64 y -2))) x)) (*.f64 (/.f64 (E.f64) (pow.f64 x 3)) (-.f64 (fma.f64 y (pow.f64 (*.f64 y -2) 2) (*.f64 (pow.f64 (*.f64 y -2) 3) -1/6)) (*.f64 (pow.f64 y 3) -2))))))
(+.f64 -1 (+.f64 (fma.f64 -2 (*.f64 (/.f64 y x) (E.f64)) (E.f64)) (*.f64 (/.f64 (E.f64) (*.f64 x x)) (-.f64 (*.f64 4 (*.f64 y y)) (/.f64 (+.f64 (*.f64 2 (pow.f64 y 3)) (*.f64 (*.f64 4 (*.f64 y y)) (+.f64 y (*.f64 1/3 y)))) x)))))
(-.f64 (E.f64) 1)
(+.f64 (E.f64) -1)
(expm1.f64 1)
(-.f64 (+.f64 (E.f64) (*.f64 -2 (/.f64 (*.f64 (E.f64) y) x))) 1)
(+.f64 (E.f64) (-.f64 (/.f64 (E.f64) (/.f64 x (-.f64 (neg.f64 y) y))) 1))
(+.f64 -1 (fma.f64 -2 (*.f64 (/.f64 (E.f64) x) y) (E.f64)))
(+.f64 (*.f64 (/.f64 -2 x) (*.f64 y (E.f64))) (expm1.f64 1))
(-.f64 (+.f64 (E.f64) (+.f64 (*.f64 -2 (/.f64 (*.f64 (E.f64) y) x)) (*.f64 4 (/.f64 (*.f64 (E.f64) (pow.f64 y 2)) (pow.f64 x 2))))) 1)
(+.f64 (E.f64) (-.f64 (+.f64 (/.f64 (E.f64) (/.f64 x (-.f64 (neg.f64 y) y))) (/.f64 (E.f64) (/.f64 (*.f64 x x) (fma.f64 -1 (*.f64 y (-.f64 (neg.f64 y) y)) (*.f64 1/2 (pow.f64 (-.f64 (neg.f64 y) y) 2)))))) 1))
(+.f64 -1 (+.f64 (fma.f64 -2 (*.f64 (/.f64 (E.f64) x) y) (E.f64)) (*.f64 (/.f64 (E.f64) x) (/.f64 (-.f64 (*.f64 1/2 (pow.f64 (*.f64 y -2) 2)) (*.f64 y (*.f64 y -2))) x))))
(+.f64 (*.f64 (/.f64 (E.f64) x) (+.f64 (*.f64 y -2) (/.f64 (*.f64 4 (*.f64 y y)) x))) (expm1.f64 1))
(-.f64 (+.f64 (*.f64 -22/3 (/.f64 (*.f64 (E.f64) (pow.f64 y 3)) (pow.f64 x 3))) (+.f64 (E.f64) (+.f64 (*.f64 -2 (/.f64 (*.f64 (E.f64) y) x)) (*.f64 4 (/.f64 (*.f64 (E.f64) (pow.f64 y 2)) (pow.f64 x 2)))))) 1)
(+.f64 (fma.f64 -22/3 (/.f64 (E.f64) (/.f64 (pow.f64 x 3) (pow.f64 y 3))) (+.f64 (E.f64) (fma.f64 -2 (/.f64 (E.f64) (/.f64 x y)) (*.f64 4 (/.f64 (E.f64) (/.f64 (*.f64 x x) (*.f64 y y))))))) -1)
(fma.f64 -22/3 (*.f64 (/.f64 (E.f64) (pow.f64 x 3)) (pow.f64 y 3)) (+.f64 (fma.f64 4 (*.f64 (/.f64 (*.f64 y y) x) (/.f64 (E.f64) x)) (/.f64 (E.f64) (/.f64 x (*.f64 y -2)))) (expm1.f64 1)))
(fma.f64 -22/3 (/.f64 (E.f64) (pow.f64 (/.f64 x y) 3)) (+.f64 (*.f64 (/.f64 (E.f64) x) (+.f64 (*.f64 y -2) (/.f64 (*.f64 4 (*.f64 y y)) x))) (expm1.f64 1)))
(-.f64 (exp.f64 -1) 1)
(expm1.f64 -1)
(-.f64 (+.f64 (/.f64 (*.f64 (-.f64 x (*.f64 -1 x)) (exp.f64 -1)) y) (exp.f64 -1)) 1)
(+.f64 (*.f64 2 (/.f64 (exp.f64 -1) (/.f64 y x))) (expm1.f64 -1))
(fma.f64 2 (*.f64 (/.f64 (exp.f64 -1) y) x) (expm1.f64 -1))
(fma.f64 2 (*.f64 (/.f64 x y) (exp.f64 -1)) (expm1.f64 -1))
(-.f64 (+.f64 (/.f64 (*.f64 (+.f64 (*.f64 -1 (*.f64 (-.f64 x (*.f64 -1 x)) x)) (*.f64 1/2 (pow.f64 (-.f64 x (*.f64 -1 x)) 2))) (exp.f64 -1)) (pow.f64 y 2)) (+.f64 (/.f64 (*.f64 (-.f64 x (*.f64 -1 x)) (exp.f64 -1)) y) (exp.f64 -1))) 1)
(+.f64 (/.f64 (fma.f64 -1 (*.f64 x (-.f64 x (neg.f64 x))) (*.f64 1/2 (pow.f64 (-.f64 x (neg.f64 x)) 2))) (/.f64 (*.f64 y y) (exp.f64 -1))) (+.f64 (/.f64 (-.f64 x (neg.f64 x)) (/.f64 y (exp.f64 -1))) (expm1.f64 -1)))
(+.f64 (fma.f64 2 (*.f64 (/.f64 (exp.f64 -1) y) x) (expm1.f64 -1)) (*.f64 (/.f64 (exp.f64 -1) y) (/.f64 (fma.f64 1/2 (pow.f64 (+.f64 x x) 2) (*.f64 x (*.f64 x -2))) y)))
(+.f64 (*.f64 (/.f64 (exp.f64 -1) y) (-.f64 (/.f64 (*.f64 (+.f64 x x) (-.f64 x x)) y) (*.f64 x -2))) (expm1.f64 -1))
(-.f64 (+.f64 (/.f64 (*.f64 (+.f64 (*.f64 -1 (*.f64 (-.f64 x (*.f64 -1 x)) x)) (*.f64 1/2 (pow.f64 (-.f64 x (*.f64 -1 x)) 2))) (exp.f64 -1)) (pow.f64 y 2)) (+.f64 (/.f64 (*.f64 (+.f64 (*.f64 (-.f64 x (*.f64 -1 x)) (pow.f64 x 2)) (+.f64 (*.f64 -1 (*.f64 (pow.f64 (-.f64 x (*.f64 -1 x)) 2) x)) (*.f64 1/6 (pow.f64 (-.f64 x (*.f64 -1 x)) 3)))) (exp.f64 -1)) (pow.f64 y 3)) (+.f64 (/.f64 (*.f64 (-.f64 x (*.f64 -1 x)) (exp.f64 -1)) y) (exp.f64 -1)))) 1)
(+.f64 (/.f64 (fma.f64 -1 (*.f64 x (-.f64 x (neg.f64 x))) (*.f64 1/2 (pow.f64 (-.f64 x (neg.f64 x)) 2))) (/.f64 (*.f64 y y) (exp.f64 -1))) (-.f64 (+.f64 (+.f64 (exp.f64 -1) (/.f64 (-.f64 x (neg.f64 x)) (/.f64 y (exp.f64 -1)))) (/.f64 (fma.f64 (-.f64 x (neg.f64 x)) (*.f64 x x) (fma.f64 -1 (*.f64 x (pow.f64 (-.f64 x (neg.f64 x)) 2)) (*.f64 1/6 (pow.f64 (-.f64 x (neg.f64 x)) 3)))) (/.f64 (pow.f64 y 3) (exp.f64 -1)))) 1))
(+.f64 (*.f64 (/.f64 (exp.f64 -1) y) (/.f64 (fma.f64 1/2 (pow.f64 (+.f64 x x) 2) (*.f64 x (*.f64 x -2))) y)) (+.f64 (/.f64 (+.f64 (*.f64 1/6 (pow.f64 (+.f64 x x) 3)) (-.f64 (*.f64 2 (pow.f64 x 3)) (*.f64 x (pow.f64 (+.f64 x x) 2)))) (/.f64 (pow.f64 y 3) (exp.f64 -1))) (fma.f64 2 (*.f64 (/.f64 (exp.f64 -1) y) x) (expm1.f64 -1))))
(+.f64 -1 (+.f64 (*.f64 (+.f64 (/.f64 (+.f64 (*.f64 2 (pow.f64 x 3)) (*.f64 (*.f64 4 (*.f64 x x)) (-.f64 (*.f64 1/3 x) x))) (pow.f64 y 3)) 1) (exp.f64 -1)) (*.f64 (/.f64 (exp.f64 -1) y) (-.f64 (/.f64 (*.f64 (+.f64 x x) (-.f64 x x)) y) (*.f64 x -2)))))
(-.f64 (exp.f64 -1) 1)
(expm1.f64 -1)
(-.f64 (+.f64 (*.f64 -1 (/.f64 (*.f64 (exp.f64 -1) (-.f64 (*.f64 -1 x) x)) y)) (exp.f64 -1)) 1)
(+.f64 (*.f64 2 (/.f64 (exp.f64 -1) (/.f64 y x))) (expm1.f64 -1))
(fma.f64 2 (*.f64 (/.f64 (exp.f64 -1) y) x) (expm1.f64 -1))
(fma.f64 2 (*.f64 (/.f64 x y) (exp.f64 -1)) (expm1.f64 -1))
(-.f64 (+.f64 (/.f64 (*.f64 (+.f64 (*.f64 1/2 (pow.f64 (-.f64 (*.f64 -1 x) x) 2)) (*.f64 (-.f64 (*.f64 -1 x) x) x)) (exp.f64 -1)) (pow.f64 y 2)) (+.f64 (*.f64 -1 (/.f64 (*.f64 (exp.f64 -1) (-.f64 (*.f64 -1 x) x)) y)) (exp.f64 -1))) 1)
(+.f64 (/.f64 (fma.f64 -1 (*.f64 x (-.f64 x (neg.f64 x))) (*.f64 1/2 (pow.f64 (-.f64 x (neg.f64 x)) 2))) (/.f64 (*.f64 y y) (exp.f64 -1))) (+.f64 (/.f64 (-.f64 x (neg.f64 x)) (/.f64 y (exp.f64 -1))) (expm1.f64 -1)))
(+.f64 (fma.f64 2 (*.f64 (/.f64 (exp.f64 -1) y) x) (expm1.f64 -1)) (*.f64 (/.f64 (exp.f64 -1) y) (/.f64 (fma.f64 1/2 (pow.f64 (+.f64 x x) 2) (*.f64 x (*.f64 x -2))) y)))
(+.f64 (*.f64 (/.f64 (exp.f64 -1) y) (-.f64 (/.f64 (*.f64 (+.f64 x x) (-.f64 x x)) y) (*.f64 x -2))) (expm1.f64 -1))
(-.f64 (+.f64 (/.f64 (*.f64 (+.f64 (*.f64 1/2 (pow.f64 (-.f64 (*.f64 -1 x) x) 2)) (*.f64 (-.f64 (*.f64 -1 x) x) x)) (exp.f64 -1)) (pow.f64 y 2)) (+.f64 (*.f64 -1 (/.f64 (*.f64 (exp.f64 -1) (-.f64 (*.f64 -1 x) x)) y)) (+.f64 (exp.f64 -1) (*.f64 -1 (/.f64 (*.f64 (exp.f64 -1) (+.f64 (*.f64 (-.f64 (*.f64 -1 x) x) (pow.f64 x 2)) (+.f64 (*.f64 1/6 (pow.f64 (-.f64 (*.f64 -1 x) x) 3)) (*.f64 (pow.f64 (-.f64 (*.f64 -1 x) x) 2) x)))) (pow.f64 y 3)))))) 1)
(+.f64 (/.f64 (fma.f64 -1 (*.f64 x (-.f64 x (neg.f64 x))) (*.f64 1/2 (pow.f64 (-.f64 x (neg.f64 x)) 2))) (/.f64 (*.f64 y y) (exp.f64 -1))) (-.f64 (+.f64 (+.f64 (exp.f64 -1) (/.f64 (-.f64 x (neg.f64 x)) (/.f64 y (exp.f64 -1)))) (/.f64 (fma.f64 (-.f64 x (neg.f64 x)) (*.f64 x x) (fma.f64 -1 (*.f64 x (pow.f64 (-.f64 x (neg.f64 x)) 2)) (*.f64 1/6 (pow.f64 (-.f64 x (neg.f64 x)) 3)))) (/.f64 (pow.f64 y 3) (exp.f64 -1)))) 1))
(+.f64 (*.f64 (/.f64 (exp.f64 -1) y) (/.f64 (fma.f64 1/2 (pow.f64 (+.f64 x x) 2) (*.f64 x (*.f64 x -2))) y)) (+.f64 (/.f64 (+.f64 (*.f64 1/6 (pow.f64 (+.f64 x x) 3)) (-.f64 (*.f64 2 (pow.f64 x 3)) (*.f64 x (pow.f64 (+.f64 x x) 2)))) (/.f64 (pow.f64 y 3) (exp.f64 -1))) (fma.f64 2 (*.f64 (/.f64 (exp.f64 -1) y) x) (expm1.f64 -1))))
(+.f64 -1 (+.f64 (*.f64 (+.f64 (/.f64 (+.f64 (*.f64 2 (pow.f64 x 3)) (*.f64 (*.f64 4 (*.f64 x x)) (-.f64 (*.f64 1/3 x) x))) (pow.f64 y 3)) 1) (exp.f64 -1)) (*.f64 (/.f64 (exp.f64 -1) y) (-.f64 (/.f64 (*.f64 (+.f64 x x) (-.f64 x x)) y) (*.f64 x -2)))))
-1
(-.f64 (*.f64 2 (/.f64 x y)) 1)
(fma.f64 2 (/.f64 x y) -1)
(-.f64 (+.f64 (*.f64 -2 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (*.f64 2 (/.f64 x y))) 1)
(+.f64 (*.f64 -2 (/.f64 (*.f64 x x) (*.f64 y y))) (fma.f64 2 (/.f64 x y) -1))
(fma.f64 -2 (/.f64 x (/.f64 (*.f64 y y) x)) (fma.f64 2 (/.f64 x y) -1))
(+.f64 -1 (*.f64 (/.f64 x y) (+.f64 2 (*.f64 (/.f64 x y) -2))))
(-.f64 (+.f64 (*.f64 -2 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (+.f64 (*.f64 2 (/.f64 (pow.f64 x 3) (pow.f64 y 3))) (*.f64 2 (/.f64 x y)))) 1)
(+.f64 (fma.f64 -2 (/.f64 (*.f64 x x) (*.f64 y y)) (*.f64 2 (+.f64 (/.f64 (pow.f64 x 3) (pow.f64 y 3)) (/.f64 x y)))) -1)
(fma.f64 -2 (/.f64 x (/.f64 (*.f64 y y) x)) (fma.f64 2 (+.f64 (/.f64 x y) (/.f64 (pow.f64 x 3) (pow.f64 y 3))) -1))
(fma.f64 -2 (/.f64 x (/.f64 (*.f64 y y) x)) (fma.f64 2 (+.f64 (/.f64 x y) (pow.f64 (/.f64 x y) 3)) -1))
1
(-.f64 (+.f64 1 (*.f64 -1 (/.f64 y x))) (/.f64 y x))
(+.f64 1 (-.f64 (/.f64 (neg.f64 y) x) (/.f64 y x)))
(-.f64 (-.f64 1 (/.f64 y x)) (/.f64 y x))
(fma.f64 -2 (/.f64 y x) 1)
(-.f64 (+.f64 1 (+.f64 (*.f64 -1 (/.f64 (*.f64 y (-.f64 (*.f64 -1 y) y)) (pow.f64 x 2))) (*.f64 -1 (/.f64 y x)))) (/.f64 y x))
(-.f64 (+.f64 1 (*.f64 -1 (+.f64 (/.f64 y (/.f64 (*.f64 x x) (-.f64 (neg.f64 y) y))) (/.f64 y x)))) (/.f64 y x))
(-.f64 (-.f64 (-.f64 1 (*.f64 (/.f64 y x) (*.f64 -2 (/.f64 y x)))) (/.f64 y x)) (/.f64 y x))
(+.f64 1 (fma.f64 -2 (/.f64 y x) (*.f64 2 (*.f64 (/.f64 y x) (/.f64 y x)))))
(-.f64 (+.f64 (/.f64 (*.f64 (pow.f64 y 2) (-.f64 (*.f64 -1 y) y)) (pow.f64 x 3)) (+.f64 1 (+.f64 (*.f64 -1 (/.f64 (*.f64 y (-.f64 (*.f64 -1 y) y)) (pow.f64 x 2))) (*.f64 -1 (/.f64 y x))))) (/.f64 y x))
(-.f64 (+.f64 (+.f64 (/.f64 (*.f64 (-.f64 (neg.f64 y) y) (*.f64 y y)) (pow.f64 x 3)) 1) (*.f64 -1 (+.f64 (/.f64 y (/.f64 (*.f64 x x) (-.f64 (neg.f64 y) y))) (/.f64 y x)))) (/.f64 y x))
(+.f64 (-.f64 (-.f64 1 (*.f64 (/.f64 y x) (*.f64 -2 (/.f64 y x)))) (/.f64 y x)) (-.f64 (*.f64 -2 (/.f64 (pow.f64 y 3) (pow.f64 x 3))) (/.f64 y x)))
(+.f64 (fma.f64 -2 (/.f64 y x) 1) (*.f64 (*.f64 (/.f64 y x) (/.f64 y x)) (+.f64 2 (*.f64 -2 (/.f64 y x)))))
1
(-.f64 (+.f64 1 (*.f64 -1 (/.f64 y x))) (/.f64 y x))
(+.f64 1 (-.f64 (/.f64 (neg.f64 y) x) (/.f64 y x)))
(-.f64 (-.f64 1 (/.f64 y x)) (/.f64 y x))
(fma.f64 -2 (/.f64 y x) 1)
(-.f64 (+.f64 1 (+.f64 (*.f64 -1 (/.f64 (*.f64 y (-.f64 (*.f64 -1 y) y)) (pow.f64 x 2))) (*.f64 -1 (/.f64 y x)))) (/.f64 y x))
(-.f64 (+.f64 1 (*.f64 -1 (+.f64 (/.f64 y (/.f64 (*.f64 x x) (-.f64 (neg.f64 y) y))) (/.f64 y x)))) (/.f64 y x))
(-.f64 (-.f64 (-.f64 1 (*.f64 (/.f64 y x) (*.f64 -2 (/.f64 y x)))) (/.f64 y x)) (/.f64 y x))
(+.f64 1 (fma.f64 -2 (/.f64 y x) (*.f64 2 (*.f64 (/.f64 y x) (/.f64 y x)))))
(-.f64 (+.f64 (/.f64 (*.f64 (pow.f64 y 2) (-.f64 (*.f64 -1 y) y)) (pow.f64 x 3)) (+.f64 1 (+.f64 (*.f64 -1 (/.f64 (*.f64 y (-.f64 (*.f64 -1 y) y)) (pow.f64 x 2))) (*.f64 -1 (/.f64 y x))))) (/.f64 y x))
(-.f64 (+.f64 (+.f64 (/.f64 (*.f64 (-.f64 (neg.f64 y) y) (*.f64 y y)) (pow.f64 x 3)) 1) (*.f64 -1 (+.f64 (/.f64 y (/.f64 (*.f64 x x) (-.f64 (neg.f64 y) y))) (/.f64 y x)))) (/.f64 y x))
(+.f64 (-.f64 (-.f64 1 (*.f64 (/.f64 y x) (*.f64 -2 (/.f64 y x)))) (/.f64 y x)) (-.f64 (*.f64 -2 (/.f64 (pow.f64 y 3) (pow.f64 x 3))) (/.f64 y x)))
(+.f64 (fma.f64 -2 (/.f64 y x) 1) (*.f64 (*.f64 (/.f64 y x) (/.f64 y x)) (+.f64 2 (*.f64 -2 (/.f64 y x)))))
1
(+.f64 1 (*.f64 -2 (/.f64 y x)))
(+.f64 1 (-.f64 (/.f64 (neg.f64 y) x) (/.f64 y x)))
(-.f64 (-.f64 1 (/.f64 y x)) (/.f64 y x))
(fma.f64 -2 (/.f64 y x) 1)
(+.f64 1 (+.f64 (*.f64 -2 (/.f64 y x)) (*.f64 2 (/.f64 (pow.f64 y 2) (pow.f64 x 2)))))
(-.f64 (+.f64 1 (*.f64 -1 (+.f64 (/.f64 y (/.f64 (*.f64 x x) (-.f64 (neg.f64 y) y))) (/.f64 y x)))) (/.f64 y x))
(-.f64 (-.f64 (-.f64 1 (*.f64 (/.f64 y x) (*.f64 -2 (/.f64 y x)))) (/.f64 y x)) (/.f64 y x))
(+.f64 1 (fma.f64 -2 (/.f64 y x) (*.f64 2 (*.f64 (/.f64 y x) (/.f64 y x)))))
(+.f64 (*.f64 -2 (/.f64 (pow.f64 y 3) (pow.f64 x 3))) (+.f64 1 (+.f64 (*.f64 -2 (/.f64 y x)) (*.f64 2 (/.f64 (pow.f64 y 2) (pow.f64 x 2))))))
(-.f64 (+.f64 (+.f64 (/.f64 (*.f64 (-.f64 (neg.f64 y) y) (*.f64 y y)) (pow.f64 x 3)) 1) (*.f64 -1 (+.f64 (/.f64 y (/.f64 (*.f64 x x) (-.f64 (neg.f64 y) y))) (/.f64 y x)))) (/.f64 y x))
(+.f64 (-.f64 (-.f64 1 (*.f64 (/.f64 y x) (*.f64 -2 (/.f64 y x)))) (/.f64 y x)) (-.f64 (*.f64 -2 (/.f64 (pow.f64 y 3) (pow.f64 x 3))) (/.f64 y x)))
(+.f64 (fma.f64 -2 (/.f64 y x) 1) (*.f64 (*.f64 (/.f64 y x) (/.f64 y x)) (+.f64 2 (*.f64 -2 (/.f64 y x)))))
-1
(-.f64 (/.f64 x y) (+.f64 1 (*.f64 -1 (/.f64 x y))))
(fma.f64 2 (/.f64 x y) -1)
(-.f64 (+.f64 (/.f64 x y) (*.f64 -1 (/.f64 (*.f64 (-.f64 x (*.f64 -1 x)) x) (pow.f64 y 2)))) (+.f64 1 (*.f64 -1 (/.f64 x y))))
(+.f64 (*.f64 -2 (/.f64 (*.f64 x x) (*.f64 y y))) (fma.f64 2 (/.f64 x y) -1))
(fma.f64 -2 (/.f64 x (/.f64 (*.f64 y y) x)) (fma.f64 2 (/.f64 x y) -1))
(+.f64 -1 (*.f64 (/.f64 x y) (+.f64 2 (*.f64 (/.f64 x y) -2))))
(-.f64 (+.f64 (/.f64 (*.f64 (-.f64 x (*.f64 -1 x)) (pow.f64 x 2)) (pow.f64 y 3)) (+.f64 (/.f64 x y) (*.f64 -1 (/.f64 (*.f64 (-.f64 x (*.f64 -1 x)) x) (pow.f64 y 2))))) (+.f64 1 (*.f64 -1 (/.f64 x y))))
(+.f64 (/.f64 (-.f64 x (neg.f64 x)) (/.f64 (pow.f64 y 3) (*.f64 x x))) (+.f64 (/.f64 x y) (-.f64 (/.f64 (neg.f64 (*.f64 x (-.f64 x (neg.f64 x)))) (*.f64 y y)) (+.f64 1 (/.f64 (neg.f64 x) y)))))
(+.f64 (+.f64 (/.f64 x y) (/.f64 (*.f64 x (*.f64 x -2)) (*.f64 y y))) (-.f64 (*.f64 2 (/.f64 (pow.f64 x 3) (pow.f64 y 3))) (-.f64 1 (/.f64 x y))))
(+.f64 (+.f64 -1 (*.f64 (/.f64 x y) (+.f64 2 (*.f64 (/.f64 x y) -2)))) (*.f64 2 (pow.f64 (/.f64 x y) 3)))
-1
(-.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 x) x) y)) 1)
(fma.f64 2 (/.f64 x y) -1)
(-.f64 (+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 x) x) y)) (/.f64 (*.f64 (-.f64 (*.f64 -1 x) x) x) (pow.f64 y 2))) 1)
(+.f64 (*.f64 -2 (/.f64 (*.f64 x x) (*.f64 y y))) (fma.f64 2 (/.f64 x y) -1))
(fma.f64 -2 (/.f64 x (/.f64 (*.f64 y y) x)) (fma.f64 2 (/.f64 x y) -1))
(+.f64 -1 (*.f64 (/.f64 x y) (+.f64 2 (*.f64 (/.f64 x y) -2))))
(-.f64 (+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 x) x) y)) (+.f64 (*.f64 -1 (/.f64 (*.f64 (-.f64 (*.f64 -1 x) x) (pow.f64 x 2)) (pow.f64 y 3))) (/.f64 (*.f64 (-.f64 (*.f64 -1 x) x) x) (pow.f64 y 2)))) 1)
(+.f64 (fma.f64 -2 (/.f64 (*.f64 x x) (*.f64 y y)) (*.f64 2 (+.f64 (/.f64 (pow.f64 x 3) (pow.f64 y 3)) (/.f64 x y)))) -1)
(fma.f64 -2 (/.f64 x (/.f64 (*.f64 y y) x)) (fma.f64 2 (+.f64 (/.f64 x y) (/.f64 (pow.f64 x 3) (pow.f64 y 3))) -1))
(fma.f64 -2 (/.f64 x (/.f64 (*.f64 y y) x)) (fma.f64 2 (+.f64 (/.f64 x y) (pow.f64 (/.f64 x y) 3)) -1))

eval311.0ms (5.1%)

Compiler

Compiled 24563 to 8492 computations (65.4% saved)

prune131.0ms (2.1%)

Pruning

8 alts after pruning (3 fresh and 5 done)

PrunedKeptTotal
New9292931
Fresh213
Picked101
Done055
Total9328940
Error
0b
Counts
940 → 8
Alt Table
Click to see full alt table
StatusErrorProgram
0.0b
(-.f64 (/.f64 x (+.f64 x y)) (/.f64 y (+.f64 x y)))
32.0b
-1
31.9b
(+.f64 1 (*.f64 -2 (/.f64 y x)))
35.1b
(/.f64 (/.f64 (-.f64 (*.f64 x (+.f64 x y)) (*.f64 y (+.f64 x y))) (+.f64 x y)) (+.f64 x y))
0.0b
(/.f64 (-.f64 x y) (+.f64 x y))
32.5b
1
31.7b
(+.f64 -1 (*.f64 (/.f64 x y) (+.f64 2 (*.f64 (/.f64 x y) -2))))
31.2b
(-.f64 (*.f64 2 (/.f64 x y)) 1)
Compiler

Compiled 82 to 49 computations (40.2% saved)

localize12.0ms (0.2%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.0b
(*.f64 y (+.f64 x y))
0.0b
(/.f64 (/.f64 (-.f64 (*.f64 x (+.f64 x y)) (*.f64 y (+.f64 x y))) (+.f64 x y)) (+.f64 x y))
3.1b
(-.f64 (*.f64 x (+.f64 x y)) (*.f64 y (+.f64 x y)))
32.7b
(/.f64 (-.f64 (*.f64 x (+.f64 x y)) (*.f64 y (+.f64 x y))) (+.f64 x y))
Compiler

Compiled 62 to 8 computations (87.1% saved)

series15.0ms (0.2%)

Counts
4 → 96
Calls

24 calls:

TimeVariablePointExpression
3.0ms
x
@0
(/.f64 (-.f64 (*.f64 x (+.f64 x y)) (*.f64 y (+.f64 x y))) (+.f64 x y))
1.0ms
y
@-inf
(/.f64 (-.f64 (*.f64 x (+.f64 x y)) (*.f64 y (+.f64 x y))) (+.f64 x y))
1.0ms
x
@inf
(/.f64 (-.f64 (*.f64 x (+.f64 x y)) (*.f64 y (+.f64 x y))) (+.f64 x y))
1.0ms
x
@-inf
(/.f64 (-.f64 (*.f64 x (+.f64 x y)) (*.f64 y (+.f64 x y))) (+.f64 x y))
1.0ms
y
@inf
(/.f64 (-.f64 (*.f64 x (+.f64 x y)) (*.f64 y (+.f64 x y))) (+.f64 x y))

rewrite137.0ms (2.2%)

Algorithm
batch-egg-rewrite
Rules
761×fma-def_binary64
709×log-prod_binary64
357×fma-neg_binary64
242×egg-rr
233×log-div_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0955
123031
2406531
Stop Event
node limit
Counts
4 → 496
Calls
Call 1
Inputs
(/.f64 (-.f64 (*.f64 x (+.f64 x y)) (*.f64 y (+.f64 x y))) (+.f64 x y))
(-.f64 (*.f64 x (+.f64 x y)) (*.f64 y (+.f64 x y)))
(/.f64 (/.f64 (-.f64 (*.f64 x (+.f64 x y)) (*.f64 y (+.f64 x y))) (+.f64 x y)) (+.f64 x y))
(*.f64 y (+.f64 x y))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 x (neg.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 x (/.f64 (+.f64 x y) (+.f64 x y))) (neg.f64 (/.f64 (*.f64 y (+.f64 x y)) (+.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 x y) (fma.f64 (neg.f64 y) 1 y))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 x y) (fma.f64 (neg.f64 (cbrt.f64 y)) (pow.f64 (cbrt.f64 y) 2) y))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 x y) (+.f64 (neg.f64 y) y))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (-.f64 x y))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (-.f64 x y))) (cbrt.f64 (exp.f64 (-.f64 x y))))) (log.f64 (cbrt.f64 (exp.f64 (-.f64 x y)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (-.f64 x y)))) (log.f64 (sqrt.f64 (exp.f64 (-.f64 x y)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 x y)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 x (/.f64 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egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 x y)) 2) (sqrt.f64 (+.f64 x y))) (/.f64 (cbrt.f64 (-.f64 x y)) (sqrt.f64 (+.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (-.f64 x y) (+.f64 (pow.f64 x 3) (pow.f64 y 3))) (fma.f64 y (-.f64 y x) (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (-.f64 x y) (-.f64 (*.f64 x x) (*.f64 y y))) (-.f64 x y))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (-.f64 x y) (+.f64 x y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (-.f64 x y) (+.f64 x y)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (-.f64 x y) (+.f64 x y))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (-.f64 x y) (+.f64 x y))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (+.f64 x y) (-.f64 x y)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (pow.f64 (+.f64 x y) 2) (-.f64 (*.f64 x x) (*.f64 y y))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (/.f64 (+.f64 x y) (-.f64 x y)) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (-.f64 x y) (neg.f64 (+.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (-.f64 x y) (+.f64 x y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (-.f64 x y) (+.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (-.f64 x y) (+.f64 x y)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (-.f64 x y) (+.f64 x y)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (-.f64 x y) 3) (pow.f64 (+.f64 x y) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (-.f64 x y) (+.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (-.f64 x y) (+.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (-.f64 x y) (+.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 (-.f64 x y) (+.f64 x y))) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 y y) (*.f64 x y))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x y) (*.f64 y y))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 y (+.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 x y) 1) (*.f64 (*.f64 y y) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 y) (+.f64 x y))) (cbrt.f64 (pow.f64 (exp.f64 y) (+.f64 x y))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 y) (+.f64 x y)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 y) (+.f64 x y)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 y) (+.f64 x y)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 y (+.f64 x y)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 x y) 3) (pow.f64 (*.f64 y y) 3)) (fma.f64 (*.f64 x y) (*.f64 x y) (-.f64 (*.f64 (*.f64 y y) (*.f64 y y)) (*.f64 (*.f64 x y) (*.f64 y y)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (*.f64 x y) (*.f64 x y)) (*.f64 (*.f64 y y) (*.f64 y y))) (-.f64 (*.f64 x y) (*.f64 y y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (pow.f64 x 3) (pow.f64 y 3)) y) (fma.f64 y (-.f64 y x) (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (*.f64 x x) (*.f64 y y)) y) (-.f64 x y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 y (+.f64 (pow.f64 x 3) (pow.f64 y 3))) (fma.f64 y (-.f64 y x) (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 y (-.f64 (*.f64 x x) (*.f64 y y))) (-.f64 x y))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 y (+.f64 x y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 y (+.f64 x y))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 y (+.f64 x y))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 y (+.f64 x y)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 y (+.f64 x y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 y) (+.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 y (+.f64 x y)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (exp.f64 (*.f64 y y)) (exp.f64 (*.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 y (+.f64 x y)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 y (+.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 y (+.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 y (+.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 y (+.f64 x y))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x y (*.f64 y y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 y x (*.f64 y y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 y y (*.f64 x y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 y y) (*.f64 x y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 x y) (*.f64 y y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) y) (*.f64 y y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 y) 2) (*.f64 (cbrt.f64 y) x) (*.f64 y y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 y) 2) (*.f64 (cbrt.f64 y) y) (*.f64 x y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) y) (*.f64 y y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 y) (*.f64 (sqrt.f64 y) x) (*.f64 y y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 y) (*.f64 (sqrt.f64 y) y) (*.f64 x y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 x y) 1 (*.f64 (*.f64 y y) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 y (sqrt.f64 y)) (sqrt.f64 y) (*.f64 x y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (pow.f64 (cbrt.f64 y) 2) (pow.f64 (cbrt.f64 y) 2)) (pow.f64 (cbrt.f64 y) 2) (*.f64 x y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (cbrt.f64 (*.f64 x y)) (cbrt.f64 (*.f64 x y))) (cbrt.f64 (*.f64 x y)) (*.f64 y y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 x y)) (sqrt.f64 (*.f64 x y)) (*.f64 y y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (sqrt.f64 y) (sqrt.f64 x)) (*.f64 (sqrt.f64 y) (sqrt.f64 x)) (*.f64 y y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (sqrt.f64 x) (sqrt.f64 y)) (*.f64 (sqrt.f64 x) (sqrt.f64 y)) (*.f64 y y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 y (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) (*.f64 y y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 y (sqrt.f64 x)) (sqrt.f64 x) (*.f64 y y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 y (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 y) (*.f64 x y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 x (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 y) (*.f64 y y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 x (sqrt.f64 y)) (sqrt.f64 y) (*.f64 y y))))))

simplify298.0ms (4.9%)

Algorithm
egg-herbie
Rules
514×fma-def_binary64
495×sub-neg_binary64
427×times-frac_binary64
364×div-sub_binary64
343×associate-/l*_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
0961221
13251092
21287889
36874871
Stop Event
node limit
Counts
592 → 534
Calls
Call 1
Inputs
(*.f64 -1 y)
(+.f64 (*.f64 -1 y) x)
(+.f64 (*.f64 -1 y) x)
(+.f64 (*.f64 -1 y) x)
x
(+.f64 (*.f64 -1 y) x)
(+.f64 (*.f64 -1 y) x)
(+.f64 (*.f64 -1 y) x)
x
(+.f64 (*.f64 -1 y) x)
(+.f64 (*.f64 -1 y) x)
(+.f64 (*.f64 -1 y) x)
x
(+.f64 (*.f64 -1 y) x)
(+.f64 (*.f64 -1 y) x)
(+.f64 (*.f64 -1 y) x)
(*.f64 -1 y)
(+.f64 (*.f64 -1 y) x)
(+.f64 (*.f64 -1 y) x)
(+.f64 (*.f64 -1 y) x)
(*.f64 -1 y)
(+.f64 (*.f64 -1 y) x)
(+.f64 (*.f64 -1 y) x)
(+.f64 (*.f64 -1 y) x)
(*.f64 -1 (pow.f64 y 2))
(+.f64 (*.f64 -1 (pow.f64 y 2)) (pow.f64 x 2))
(+.f64 (*.f64 -1 (pow.f64 y 2)) (pow.f64 x 2))
(+.f64 (*.f64 -1 (pow.f64 y 2)) (pow.f64 x 2))
(pow.f64 x 2)
(+.f64 (*.f64 -1 (pow.f64 y 2)) (pow.f64 x 2))
(+.f64 (*.f64 -1 (pow.f64 y 2)) (pow.f64 x 2))
(+.f64 (*.f64 -1 (pow.f64 y 2)) (pow.f64 x 2))
(pow.f64 x 2)
(+.f64 (*.f64 -1 (pow.f64 y 2)) (pow.f64 x 2))
(+.f64 (*.f64 -1 (pow.f64 y 2)) (pow.f64 x 2))
(+.f64 (*.f64 -1 (pow.f64 y 2)) (pow.f64 x 2))
(pow.f64 x 2)
(+.f64 (*.f64 -1 (pow.f64 y 2)) (pow.f64 x 2))
(+.f64 (*.f64 -1 (pow.f64 y 2)) (pow.f64 x 2))
(+.f64 (*.f64 -1 (pow.f64 y 2)) (pow.f64 x 2))
(*.f64 -1 (pow.f64 y 2))
(+.f64 (*.f64 -1 (pow.f64 y 2)) (pow.f64 x 2))
(+.f64 (*.f64 -1 (pow.f64 y 2)) (pow.f64 x 2))
(+.f64 (*.f64 -1 (pow.f64 y 2)) (pow.f64 x 2))
(*.f64 -1 (pow.f64 y 2))
(+.f64 (*.f64 -1 (pow.f64 y 2)) (pow.f64 x 2))
(+.f64 (*.f64 -1 (pow.f64 y 2)) (pow.f64 x 2))
(+.f64 (*.f64 -1 (pow.f64 y 2)) (pow.f64 x 2))
-1
(-.f64 (*.f64 2 (/.f64 x y)) 1)
(-.f64 (+.f64 (*.f64 -2 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (*.f64 2 (/.f64 x y))) 1)
(-.f64 (+.f64 (*.f64 -2 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (+.f64 (*.f64 2 (/.f64 (pow.f64 x 3) (pow.f64 y 3))) (*.f64 2 (/.f64 x y)))) 1)
1
(+.f64 1 (*.f64 -2 (/.f64 y x)))
(-.f64 (+.f64 1 (+.f64 (*.f64 -2 (/.f64 y x)) (*.f64 -1 (/.f64 (pow.f64 y 2) (pow.f64 x 2))))) (+.f64 (/.f64 (pow.f64 y 2) (pow.f64 x 2)) (*.f64 -4 (/.f64 (pow.f64 y 2) (pow.f64 x 2)))))
(-.f64 (+.f64 1 (+.f64 (*.f64 -2 (/.f64 y x)) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 2 (*.f64 y (-.f64 (*.f64 -1 (pow.f64 y 2)) (+.f64 (pow.f64 y 2) (*.f64 -4 (pow.f64 y 2)))))) (*.f64 -2 (pow.f64 y 3))) (pow.f64 x 3))) (*.f64 -1 (/.f64 (pow.f64 y 2) (pow.f64 x 2)))))) (+.f64 (*.f64 -4 (/.f64 (pow.f64 y 2) (pow.f64 x 2))) (/.f64 (pow.f64 y 2) (pow.f64 x 2))))
1
(+.f64 1 (*.f64 -2 (/.f64 y x)))
(-.f64 (+.f64 1 (+.f64 (*.f64 -2 (/.f64 y x)) (*.f64 -1 (/.f64 (pow.f64 y 2) (pow.f64 x 2))))) (+.f64 (/.f64 (pow.f64 y 2) (pow.f64 x 2)) (*.f64 -4 (/.f64 (pow.f64 y 2) (pow.f64 x 2)))))
(-.f64 (+.f64 1 (+.f64 (*.f64 -2 (/.f64 y x)) (+.f64 (*.f64 2 (/.f64 (pow.f64 y 3) (pow.f64 x 3))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 y 2) (pow.f64 x 2))) (*.f64 -2 (/.f64 (*.f64 y (-.f64 (*.f64 -1 (pow.f64 y 2)) (+.f64 (pow.f64 y 2) (*.f64 -4 (pow.f64 y 2))))) (pow.f64 x 3))))))) (+.f64 (*.f64 -4 (/.f64 (pow.f64 y 2) (pow.f64 x 2))) (/.f64 (pow.f64 y 2) (pow.f64 x 2))))
1
(+.f64 1 (*.f64 -2 (/.f64 y x)))
(+.f64 1 (+.f64 (*.f64 -2 (/.f64 y x)) (*.f64 2 (/.f64 (pow.f64 y 2) (pow.f64 x 2)))))
(+.f64 (*.f64 -2 (/.f64 (pow.f64 y 3) (pow.f64 x 3))) (+.f64 1 (+.f64 (*.f64 -2 (/.f64 y x)) (*.f64 2 (/.f64 (pow.f64 y 2) (pow.f64 x 2))))))
-1
(-.f64 (*.f64 2 (/.f64 x y)) 1)
(-.f64 (+.f64 (/.f64 (pow.f64 x 2) (pow.f64 y 2)) (*.f64 2 (/.f64 x y))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (+.f64 1 (*.f64 4 (/.f64 (pow.f64 x 2) (pow.f64 y 2))))))
(-.f64 (+.f64 (/.f64 (pow.f64 x 2) (pow.f64 y 2)) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 2 (pow.f64 x 3)) (*.f64 2 (*.f64 (-.f64 (pow.f64 x 2) (+.f64 (*.f64 4 (pow.f64 x 2)) (*.f64 -1 (pow.f64 x 2)))) x))) (pow.f64 y 3))) (*.f64 2 (/.f64 x y)))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (+.f64 1 (*.f64 4 (/.f64 (pow.f64 x 2) (pow.f64 y 2))))))
-1
(-.f64 (*.f64 2 (/.f64 x y)) 1)
(-.f64 (+.f64 (/.f64 (pow.f64 x 2) (pow.f64 y 2)) (*.f64 2 (/.f64 x y))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (+.f64 1 (*.f64 4 (/.f64 (pow.f64 x 2) (pow.f64 y 2))))))
(-.f64 (+.f64 (*.f64 -2 (/.f64 (*.f64 (-.f64 (pow.f64 x 2) (+.f64 (*.f64 4 (pow.f64 x 2)) (*.f64 -1 (pow.f64 x 2)))) x) (pow.f64 y 3))) (+.f64 (/.f64 (pow.f64 x 2) (pow.f64 y 2)) (+.f64 (*.f64 -2 (/.f64 (pow.f64 x 3) (pow.f64 y 3))) (*.f64 2 (/.f64 x y))))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (+.f64 1 (*.f64 4 (/.f64 (pow.f64 x 2) (pow.f64 y 2))))))
(*.f64 y x)
(+.f64 (*.f64 y x) (pow.f64 y 2))
(+.f64 (*.f64 y x) (pow.f64 y 2))
(+.f64 (*.f64 y x) (pow.f64 y 2))
(pow.f64 y 2)
(+.f64 (*.f64 y x) (pow.f64 y 2))
(+.f64 (*.f64 y x) (pow.f64 y 2))
(+.f64 (*.f64 y x) (pow.f64 y 2))
(pow.f64 y 2)
(+.f64 (*.f64 y x) (pow.f64 y 2))
(+.f64 (*.f64 y x) (pow.f64 y 2))
(+.f64 (*.f64 y x) (pow.f64 y 2))
(pow.f64 y 2)
(+.f64 (*.f64 y x) (pow.f64 y 2))
(+.f64 (*.f64 y x) (pow.f64 y 2))
(+.f64 (*.f64 y x) (pow.f64 y 2))
(*.f64 y x)
(+.f64 (*.f64 y x) (pow.f64 y 2))
(+.f64 (*.f64 y x) (pow.f64 y 2))
(+.f64 (*.f64 y x) (pow.f64 y 2))
(*.f64 y x)
(+.f64 (*.f64 y x) (pow.f64 y 2))
(+.f64 (*.f64 y x) (pow.f64 y 2))
(+.f64 (*.f64 y x) (pow.f64 y 2))
Outputs
(*.f64 -1 y)
(neg.f64 y)
(+.f64 (*.f64 -1 y) x)
(fma.f64 -1 y x)
(-.f64 x y)
(+.f64 (*.f64 -1 y) x)
(fma.f64 -1 y x)
(-.f64 x y)
(+.f64 (*.f64 -1 y) x)
(fma.f64 -1 y x)
(-.f64 x y)
x
(+.f64 (*.f64 -1 y) x)
(fma.f64 -1 y x)
(-.f64 x y)
(+.f64 (*.f64 -1 y) x)
(fma.f64 -1 y x)
(-.f64 x y)
(+.f64 (*.f64 -1 y) x)
(fma.f64 -1 y x)
(-.f64 x y)
x
(+.f64 (*.f64 -1 y) x)
(fma.f64 -1 y x)
(-.f64 x y)
(+.f64 (*.f64 -1 y) x)
(fma.f64 -1 y x)
(-.f64 x y)
(+.f64 (*.f64 -1 y) x)
(fma.f64 -1 y x)
(-.f64 x y)
x
(+.f64 (*.f64 -1 y) x)
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(+.f64 (*.f64 y x) (pow.f64 y 2))
(fma.f64 y x (*.f64 y y))
(*.f64 y (+.f64 y x))
(+.f64 (*.f64 y x) (pow.f64 y 2))
(fma.f64 y x (*.f64 y y))
(*.f64 y (+.f64 y x))
(+.f64 (*.f64 y x) (pow.f64 y 2))
(fma.f64 y x (*.f64 y y))
(*.f64 y (+.f64 y x))

eval163.0ms (2.7%)

Compiler

Compiled 13968 to 3248 computations (76.7% saved)

prune83.0ms (1.4%)

Pruning

11 alts after pruning (5 fresh and 6 done)

PrunedKeptTotal
New5304534
Fresh112
Picked011
Done055
Total53111542
Error
0b
Counts
542 → 11
Alt Table
Click to see full alt table
StatusErrorProgram
0.0b
(-.f64 (/.f64 x (+.f64 x y)) (/.f64 y (+.f64 x y)))
32.0b
-1
31.2b
(-.f64 (*.f64 2 (/.f64 x y)) 1)
32.5b
1
31.9b
(+.f64 1 (*.f64 -2 (/.f64 y x)))
35.1b
(/.f64 (/.f64 (-.f64 (*.f64 x (+.f64 x y)) (*.f64 y (+.f64 x y))) (+.f64 x y)) (+.f64 x y))
0.0b
(/.f64 (-.f64 x y) (+.f64 x y))
35.1b
(/.f64 (/.f64 (-.f64 (*.f64 x x) (*.f64 y y)) (+.f64 x y)) (+.f64 x y))
31.7b
(+.f64 -1 (*.f64 (/.f64 x y) (+.f64 2 (*.f64 (/.f64 x y) -2))))
31.8b
(/.f64 x (+.f64 x y))
31.2b
(/.f64 (neg.f64 y) (+.f64 x y))
Compiler

Compiled 114 to 66 computations (42.1% saved)

localize4.0ms (0.1%)

Local error

Found 1 expressions with local error:

NewErrorProgram
0.0b
(/.f64 x (+.f64 x y))
Compiler

Compiled 12 to 4 computations (66.7% saved)

localize6.0ms (0.1%)

Local error

Found 1 expressions with local error:

NewErrorProgram
0.0b
(/.f64 (neg.f64 y) (+.f64 x y))
Compiler

Compiled 15 to 5 computations (66.7% saved)

series3.0ms (0%)

Counts
1 → 24
Calls

6 calls:

TimeVariablePointExpression
1.0ms
y
@0
(/.f64 (neg.f64 y) (+.f64 x y))
0.0ms
x
@inf
(/.f64 (neg.f64 y) (+.f64 x y))
0.0ms
x
@-inf
(/.f64 (neg.f64 y) (+.f64 x y))
0.0ms
y
@inf
(/.f64 (neg.f64 y) (+.f64 x y))
0.0ms
x
@0
(/.f64 (neg.f64 y) (+.f64 x y))

rewrite93.0ms (1.5%)

Algorithm
batch-egg-rewrite
Rules
699×pow1_binary64
653×add-log-exp_binary64
652×log1p-expm1-u_binary64
652×expm1-log1p-u_binary64
638×add-exp-log_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
069
11407
222807
Stop Event
node limit
Counts
1 → 38
Calls
Call 1
Inputs
(/.f64 (neg.f64 y) (+.f64 x y))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (/.f64 y (+.f64 y x)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (/.f64 y (+.f64 y x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 0 (+.f64 y x)) (/.f64 y (+.f64 y x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 y (/.f64 1 (+.f64 y x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 y (/.f64 1 (+.f64 y (neg.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 y (+.f64 y x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 y (+.f64 y x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 y (+.f64 y x))) (pow.f64 (cbrt.f64 (/.f64 y (+.f64 y x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 y (+.f64 y x))) 2) (cbrt.f64 (/.f64 y (+.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 y) 2) (*.f64 (cbrt.f64 y) (/.f64 1 (+.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 y (+.f64 y x))) (sqrt.f64 (/.f64 y (+.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 y) (*.f64 (sqrt.f64 y) (/.f64 1 (+.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 y x)) y)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 y (+.f64 y x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 y x)) 2)) (/.f64 y (cbrt.f64 (+.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1 (pow.f64 (cbrt.f64 (+.f64 y x)) 2)) (/.f64 y (cbrt.f64 (+.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 (+.f64 y x))) (/.f64 y (sqrt.f64 (+.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1 (sqrt.f64 (+.f64 y x))) (/.f64 y (sqrt.f64 (+.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 y) 2) 1) (/.f64 (cbrt.f64 y) (+.f64 y x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 y) 1) (/.f64 (sqrt.f64 y) (+.f64 y x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 y) 2) (pow.f64 (cbrt.f64 (+.f64 y x)) 2)) (cbrt.f64 (/.f64 y (+.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 y) (pow.f64 (cbrt.f64 (+.f64 y x)) 2)) (/.f64 (sqrt.f64 y) (cbrt.f64 (+.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 y) 2) (sqrt.f64 (+.f64 y x))) (/.f64 (cbrt.f64 y) (sqrt.f64 (+.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 y (+.f64 (pow.f64 x 3) (pow.f64 y 3))) (fma.f64 x x (*.f64 y (-.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 y (pow.f64 (+.f64 y x) 2)) (+.f64 y x))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 y (+.f64 y x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 y (+.f64 y x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 y (+.f64 y x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 y (+.f64 y x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (+.f64 y x) y) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 y (+.f64 y x)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 y (+.f64 y x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 y (+.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 y (+.f64 y x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 y 3) (pow.f64 (+.f64 y x) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 y (+.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 y (+.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 y (+.f64 y x))))))))

simplify64.0ms (1%)

Algorithm
egg-herbie
Rules
757×fma-def_binary64
633×associate-/l*_binary64
445×associate-/r*_binary64
412×associate-*l/_binary64
395×fma-neg_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
034474
194444
2281390
31211336
47475336
Stop Event
node limit
Counts
62 → 53
Calls
Call 1
Inputs
(*.f64 -1 (/.f64 y x))
(+.f64 (/.f64 (pow.f64 y 2) (pow.f64 x 2)) (*.f64 -1 (/.f64 y x)))
(+.f64 (/.f64 (pow.f64 y 2) (pow.f64 x 2)) (+.f64 (*.f64 -1 (/.f64 (pow.f64 y 3) (pow.f64 x 3))) (*.f64 -1 (/.f64 y x))))
(+.f64 (/.f64 (pow.f64 y 4) (pow.f64 x 4)) (+.f64 (/.f64 (pow.f64 y 2) (pow.f64 x 2)) (+.f64 (*.f64 -1 (/.f64 (pow.f64 y 3) (pow.f64 x 3))) (*.f64 -1 (/.f64 y x)))))
-1
(-.f64 (/.f64 x y) 1)
(-.f64 (+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (/.f64 x y)) 1)
(-.f64 (+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (+.f64 (/.f64 x y) (/.f64 (pow.f64 x 3) (pow.f64 y 3)))) 1)
-1
(-.f64 (/.f64 x y) 1)
(-.f64 (+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (/.f64 x y)) 1)
(-.f64 (+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (+.f64 (/.f64 x y) (/.f64 (pow.f64 x 3) (pow.f64 y 3)))) 1)
-1
(-.f64 (/.f64 x y) 1)
(-.f64 (+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (/.f64 x y)) 1)
(-.f64 (+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (+.f64 (/.f64 x y) (/.f64 (pow.f64 x 3) (pow.f64 y 3)))) 1)
(*.f64 -1 (/.f64 y x))
(+.f64 (/.f64 (pow.f64 y 2) (pow.f64 x 2)) (*.f64 -1 (/.f64 y x)))
(+.f64 (/.f64 (pow.f64 y 2) (pow.f64 x 2)) (+.f64 (*.f64 -1 (/.f64 (pow.f64 y 3) (pow.f64 x 3))) (*.f64 -1 (/.f64 y x))))
(+.f64 (/.f64 (pow.f64 y 4) (pow.f64 x 4)) (+.f64 (/.f64 (pow.f64 y 2) (pow.f64 x 2)) (+.f64 (*.f64 -1 (/.f64 (pow.f64 y 3) (pow.f64 x 3))) (*.f64 -1 (/.f64 y x)))))
(*.f64 -1 (/.f64 y x))
(+.f64 (/.f64 (pow.f64 y 2) (pow.f64 x 2)) (*.f64 -1 (/.f64 y x)))
(+.f64 (/.f64 (pow.f64 y 2) (pow.f64 x 2)) (+.f64 (*.f64 -1 (/.f64 (pow.f64 y 3) (pow.f64 x 3))) (*.f64 -1 (/.f64 y x))))
(+.f64 (/.f64 (pow.f64 y 4) (pow.f64 x 4)) (+.f64 (/.f64 (pow.f64 y 2) (pow.f64 x 2)) (+.f64 (*.f64 -1 (/.f64 (pow.f64 y 3) (pow.f64 x 3))) (*.f64 -1 (/.f64 y x)))))
Outputs
(*.f64 -1 (/.f64 y x))
(neg.f64 (/.f64 y x))
(/.f64 (neg.f64 y) x)
(+.f64 (/.f64 (pow.f64 y 2) (pow.f64 x 2)) (*.f64 -1 (/.f64 y x)))
(+.f64 (neg.f64 (/.f64 y x)) (/.f64 (*.f64 y y) (*.f64 x x)))
(-.f64 (*.f64 (/.f64 y x) (/.f64 y x)) (/.f64 y x))
(*.f64 (/.f64 y x) (+.f64 -1 (/.f64 y x)))
(+.f64 (/.f64 (pow.f64 y 2) (pow.f64 x 2)) (+.f64 (*.f64 -1 (/.f64 (pow.f64 y 3) (pow.f64 x 3))) (*.f64 -1 (/.f64 y x))))
(+.f64 (/.f64 (*.f64 y y) (*.f64 x x)) (fma.f64 -1 (/.f64 (pow.f64 y 3) (pow.f64 x 3)) (neg.f64 (/.f64 y x))))
(-.f64 (-.f64 (*.f64 (/.f64 y x) (/.f64 y x)) (/.f64 (pow.f64 y 3) (pow.f64 x 3))) (/.f64 y x))
(-.f64 (*.f64 (/.f64 y x) (+.f64 -1 (/.f64 y x))) (pow.f64 (/.f64 y x) 3))
(+.f64 (/.f64 (pow.f64 y 4) (pow.f64 x 4)) (+.f64 (/.f64 (pow.f64 y 2) (pow.f64 x 2)) (+.f64 (*.f64 -1 (/.f64 (pow.f64 y 3) (pow.f64 x 3))) (*.f64 -1 (/.f64 y x)))))
(+.f64 (+.f64 (/.f64 (*.f64 y y) (*.f64 x x)) (fma.f64 -1 (/.f64 (pow.f64 y 3) (pow.f64 x 3)) (neg.f64 (/.f64 y x)))) (/.f64 (pow.f64 y 4) (pow.f64 x 4)))
(+.f64 (-.f64 (-.f64 (*.f64 (/.f64 y x) (/.f64 y x)) (/.f64 (pow.f64 y 3) (pow.f64 x 3))) (/.f64 y x)) (/.f64 (pow.f64 y 4) (pow.f64 x 4)))
(+.f64 (-.f64 (*.f64 (/.f64 y x) (+.f64 -1 (/.f64 y x))) (pow.f64 (/.f64 y x) 3)) (/.f64 (pow.f64 y 4) (pow.f64 x 4)))
(*.f64 (fma.f64 (/.f64 y x) (/.f64 y x) 1) (*.f64 (/.f64 y x) (+.f64 -1 (/.f64 y x))))
-1
(-.f64 (/.f64 x y) 1)
(+.f64 (/.f64 x y) -1)
(+.f64 -1 (/.f64 x y))
(-.f64 (+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (/.f64 x y)) 1)
(+.f64 (fma.f64 -1 (/.f64 (*.f64 x x) (*.f64 y y)) (/.f64 x y)) -1)
(+.f64 -1 (-.f64 (/.f64 x y) (*.f64 (/.f64 x y) (/.f64 x y))))
(+.f64 -1 (-.f64 (/.f64 x y) (/.f64 x (/.f64 (*.f64 y y) x))))
(-.f64 (/.f64 x y) (fma.f64 (/.f64 x y) (/.f64 x y) 1))
(-.f64 (+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (+.f64 (/.f64 x y) (/.f64 (pow.f64 x 3) (pow.f64 y 3)))) 1)
(+.f64 (+.f64 (fma.f64 -1 (/.f64 (*.f64 x x) (*.f64 y y)) (/.f64 x y)) (/.f64 (pow.f64 x 3) (pow.f64 y 3))) -1)
(+.f64 -1 (+.f64 (-.f64 (/.f64 x y) (*.f64 (/.f64 x y) (/.f64 x y))) (/.f64 (pow.f64 x 3) (pow.f64 y 3))))
(+.f64 -1 (+.f64 (/.f64 x y) (-.f64 (pow.f64 (/.f64 x y) 3) (/.f64 x (/.f64 (*.f64 y y) x)))))
(*.f64 (fma.f64 (/.f64 x y) (/.f64 x y) 1) (+.f64 -1 (/.f64 x y)))
-1
(-.f64 (/.f64 x y) 1)
(+.f64 (/.f64 x y) -1)
(+.f64 -1 (/.f64 x y))
(-.f64 (+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (/.f64 x y)) 1)
(+.f64 (fma.f64 -1 (/.f64 (*.f64 x x) (*.f64 y y)) (/.f64 x y)) -1)
(+.f64 -1 (-.f64 (/.f64 x y) (*.f64 (/.f64 x y) (/.f64 x y))))
(+.f64 -1 (-.f64 (/.f64 x y) (/.f64 x (/.f64 (*.f64 y y) x))))
(-.f64 (/.f64 x y) (fma.f64 (/.f64 x y) (/.f64 x y) 1))
(-.f64 (+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (+.f64 (/.f64 x y) (/.f64 (pow.f64 x 3) (pow.f64 y 3)))) 1)
(+.f64 (+.f64 (fma.f64 -1 (/.f64 (*.f64 x x) (*.f64 y y)) (/.f64 x y)) (/.f64 (pow.f64 x 3) (pow.f64 y 3))) -1)
(+.f64 -1 (+.f64 (-.f64 (/.f64 x y) (*.f64 (/.f64 x y) (/.f64 x y))) (/.f64 (pow.f64 x 3) (pow.f64 y 3))))
(+.f64 -1 (+.f64 (/.f64 x y) (-.f64 (pow.f64 (/.f64 x y) 3) (/.f64 x (/.f64 (*.f64 y y) x)))))
(*.f64 (fma.f64 (/.f64 x y) (/.f64 x y) 1) (+.f64 -1 (/.f64 x y)))
-1
(-.f64 (/.f64 x y) 1)
(+.f64 (/.f64 x y) -1)
(+.f64 -1 (/.f64 x y))
(-.f64 (+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (/.f64 x y)) 1)
(+.f64 (fma.f64 -1 (/.f64 (*.f64 x x) (*.f64 y y)) (/.f64 x y)) -1)
(+.f64 -1 (-.f64 (/.f64 x y) (*.f64 (/.f64 x y) (/.f64 x y))))
(+.f64 -1 (-.f64 (/.f64 x y) (/.f64 x (/.f64 (*.f64 y y) x))))
(-.f64 (/.f64 x y) (fma.f64 (/.f64 x y) (/.f64 x y) 1))
(-.f64 (+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (+.f64 (/.f64 x y) (/.f64 (pow.f64 x 3) (pow.f64 y 3)))) 1)
(+.f64 (+.f64 (fma.f64 -1 (/.f64 (*.f64 x x) (*.f64 y y)) (/.f64 x y)) (/.f64 (pow.f64 x 3) (pow.f64 y 3))) -1)
(+.f64 -1 (+.f64 (-.f64 (/.f64 x y) (*.f64 (/.f64 x y) (/.f64 x y))) (/.f64 (pow.f64 x 3) (pow.f64 y 3))))
(+.f64 -1 (+.f64 (/.f64 x y) (-.f64 (pow.f64 (/.f64 x y) 3) (/.f64 x (/.f64 (*.f64 y y) x)))))
(*.f64 (fma.f64 (/.f64 x y) (/.f64 x y) 1) (+.f64 -1 (/.f64 x y)))
(*.f64 -1 (/.f64 y x))
(neg.f64 (/.f64 y x))
(/.f64 (neg.f64 y) x)
(+.f64 (/.f64 (pow.f64 y 2) (pow.f64 x 2)) (*.f64 -1 (/.f64 y x)))
(+.f64 (neg.f64 (/.f64 y x)) (/.f64 (*.f64 y y) (*.f64 x x)))
(-.f64 (*.f64 (/.f64 y x) (/.f64 y x)) (/.f64 y x))
(*.f64 (/.f64 y x) (+.f64 -1 (/.f64 y x)))
(+.f64 (/.f64 (pow.f64 y 2) (pow.f64 x 2)) (+.f64 (*.f64 -1 (/.f64 (pow.f64 y 3) (pow.f64 x 3))) (*.f64 -1 (/.f64 y x))))
(+.f64 (/.f64 (*.f64 y y) (*.f64 x x)) (fma.f64 -1 (/.f64 (pow.f64 y 3) (pow.f64 x 3)) (neg.f64 (/.f64 y x))))
(-.f64 (-.f64 (*.f64 (/.f64 y x) (/.f64 y x)) (/.f64 (pow.f64 y 3) (pow.f64 x 3))) (/.f64 y x))
(-.f64 (*.f64 (/.f64 y x) (+.f64 -1 (/.f64 y x))) (pow.f64 (/.f64 y x) 3))
(+.f64 (/.f64 (pow.f64 y 4) (pow.f64 x 4)) (+.f64 (/.f64 (pow.f64 y 2) (pow.f64 x 2)) (+.f64 (*.f64 -1 (/.f64 (pow.f64 y 3) (pow.f64 x 3))) (*.f64 -1 (/.f64 y x)))))
(+.f64 (+.f64 (/.f64 (*.f64 y y) (*.f64 x x)) (fma.f64 -1 (/.f64 (pow.f64 y 3) (pow.f64 x 3)) (neg.f64 (/.f64 y x)))) (/.f64 (pow.f64 y 4) (pow.f64 x 4)))
(+.f64 (-.f64 (-.f64 (*.f64 (/.f64 y x) (/.f64 y x)) (/.f64 (pow.f64 y 3) (pow.f64 x 3))) (/.f64 y x)) (/.f64 (pow.f64 y 4) (pow.f64 x 4)))
(+.f64 (-.f64 (*.f64 (/.f64 y x) (+.f64 -1 (/.f64 y x))) (pow.f64 (/.f64 y x) 3)) (/.f64 (pow.f64 y 4) (pow.f64 x 4)))
(*.f64 (fma.f64 (/.f64 y x) (/.f64 y x) 1) (*.f64 (/.f64 y x) (+.f64 -1 (/.f64 y x))))
(*.f64 -1 (/.f64 y x))
(neg.f64 (/.f64 y x))
(/.f64 (neg.f64 y) x)
(+.f64 (/.f64 (pow.f64 y 2) (pow.f64 x 2)) (*.f64 -1 (/.f64 y x)))
(+.f64 (neg.f64 (/.f64 y x)) (/.f64 (*.f64 y y) (*.f64 x x)))
(-.f64 (*.f64 (/.f64 y x) (/.f64 y x)) (/.f64 y x))
(*.f64 (/.f64 y x) (+.f64 -1 (/.f64 y x)))
(+.f64 (/.f64 (pow.f64 y 2) (pow.f64 x 2)) (+.f64 (*.f64 -1 (/.f64 (pow.f64 y 3) (pow.f64 x 3))) (*.f64 -1 (/.f64 y x))))
(+.f64 (/.f64 (*.f64 y y) (*.f64 x x)) (fma.f64 -1 (/.f64 (pow.f64 y 3) (pow.f64 x 3)) (neg.f64 (/.f64 y x))))
(-.f64 (-.f64 (*.f64 (/.f64 y x) (/.f64 y x)) (/.f64 (pow.f64 y 3) (pow.f64 x 3))) (/.f64 y x))
(-.f64 (*.f64 (/.f64 y x) (+.f64 -1 (/.f64 y x))) (pow.f64 (/.f64 y x) 3))
(+.f64 (/.f64 (pow.f64 y 4) (pow.f64 x 4)) (+.f64 (/.f64 (pow.f64 y 2) (pow.f64 x 2)) (+.f64 (*.f64 -1 (/.f64 (pow.f64 y 3) (pow.f64 x 3))) (*.f64 -1 (/.f64 y x)))))
(+.f64 (+.f64 (/.f64 (*.f64 y y) (*.f64 x x)) (fma.f64 -1 (/.f64 (pow.f64 y 3) (pow.f64 x 3)) (neg.f64 (/.f64 y x)))) (/.f64 (pow.f64 y 4) (pow.f64 x 4)))
(+.f64 (-.f64 (-.f64 (*.f64 (/.f64 y x) (/.f64 y x)) (/.f64 (pow.f64 y 3) (pow.f64 x 3))) (/.f64 y x)) (/.f64 (pow.f64 y 4) (pow.f64 x 4)))
(+.f64 (-.f64 (*.f64 (/.f64 y x) (+.f64 -1 (/.f64 y x))) (pow.f64 (/.f64 y x) 3)) (/.f64 (pow.f64 y 4) (pow.f64 x 4)))
(*.f64 (fma.f64 (/.f64 y x) (/.f64 y x) 1) (*.f64 (/.f64 y x) (+.f64 -1 (/.f64 y x))))

localize11.0ms (0.2%)

Local error

Found 3 expressions with local error:

NewErrorProgram
0.0b
(/.f64 (/.f64 (-.f64 (*.f64 x x) (*.f64 y y)) (+.f64 x y)) (+.f64 x y))
2.5b
(-.f64 (*.f64 x x) (*.f64 y y))
32.7b
(/.f64 (-.f64 (*.f64 x x) (*.f64 y y)) (+.f64 x y))
Compiler

Compiled 46 to 8 computations (82.6% saved)

series7.0ms (0.1%)

Counts
3 → 72
Calls

18 calls:

TimeVariablePointExpression
1.0ms
x
@-inf
(/.f64 (/.f64 (-.f64 (*.f64 x x) (*.f64 y y)) (+.f64 x y)) (+.f64 x y))
1.0ms
x
@0
(/.f64 (-.f64 (*.f64 x x) (*.f64 y y)) (+.f64 x y))
0.0ms
x
@-inf
(/.f64 (-.f64 (*.f64 x x) (*.f64 y y)) (+.f64 x y))
0.0ms
y
@0
(/.f64 (-.f64 (*.f64 x x) (*.f64 y y)) (+.f64 x y))
0.0ms
x
@inf
(/.f64 (-.f64 (*.f64 x x) (*.f64 y y)) (+.f64 x y))

rewrite139.0ms (2.3%)

Algorithm
batch-egg-rewrite
Rules
619×log-prod_binary64
582×fma-def_binary64
293×pow2_binary64
271×fma-neg_binary64
218×log-div_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0948
122024
2364824
Stop Event
node limit
Counts
3 → 373
Calls
Call 1
Inputs
(/.f64 (-.f64 (*.f64 x x) (*.f64 y y)) (+.f64 x y))
(-.f64 (*.f64 x x) (*.f64 y y))
(/.f64 (/.f64 (-.f64 (*.f64 x x) (*.f64 y y)) (+.f64 x y)) (+.f64 x y))
Outputs
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(#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (-.f64 x y) (+.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 (-.f64 x y) (+.f64 x y))) 1))))))

simplify93.0ms (1.5%)

Algorithm
egg-herbie
Rules
512×fma-def_binary64
495×sub-neg_binary64
427×times-frac_binary64
365×div-sub_binary64
343×associate-/l*_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
0941053
1320942
21275739
36845721
Stop Event
node limit
Counts
445 → 406
Calls
Call 1
Inputs
(*.f64 -1 y)
(+.f64 (*.f64 -1 y) x)
(+.f64 (*.f64 -1 y) x)
(+.f64 (*.f64 -1 y) x)
x
(+.f64 (*.f64 -1 y) x)
(+.f64 (*.f64 -1 y) x)
(+.f64 (*.f64 -1 y) x)
x
(+.f64 (*.f64 -1 y) x)
(+.f64 (*.f64 -1 y) x)
(+.f64 (*.f64 -1 y) x)
x
(+.f64 (*.f64 -1 y) x)
(+.f64 (*.f64 -1 y) x)
(+.f64 (*.f64 -1 y) x)
(*.f64 -1 y)
(+.f64 (*.f64 -1 y) x)
(+.f64 (*.f64 -1 y) x)
(+.f64 (*.f64 -1 y) x)
(*.f64 -1 y)
(+.f64 (*.f64 -1 y) x)
(+.f64 (*.f64 -1 y) x)
(+.f64 (*.f64 -1 y) x)
(*.f64 -1 (pow.f64 y 2))
(+.f64 (*.f64 -1 (pow.f64 y 2)) (pow.f64 x 2))
(+.f64 (*.f64 -1 (pow.f64 y 2)) (pow.f64 x 2))
(+.f64 (*.f64 -1 (pow.f64 y 2)) (pow.f64 x 2))
(pow.f64 x 2)
(+.f64 (*.f64 -1 (pow.f64 y 2)) (pow.f64 x 2))
(+.f64 (*.f64 -1 (pow.f64 y 2)) (pow.f64 x 2))
(+.f64 (*.f64 -1 (pow.f64 y 2)) (pow.f64 x 2))
(pow.f64 x 2)
(+.f64 (*.f64 -1 (pow.f64 y 2)) (pow.f64 x 2))
(+.f64 (*.f64 -1 (pow.f64 y 2)) (pow.f64 x 2))
(+.f64 (*.f64 -1 (pow.f64 y 2)) (pow.f64 x 2))
(pow.f64 x 2)
(+.f64 (*.f64 -1 (pow.f64 y 2)) (pow.f64 x 2))
(+.f64 (*.f64 -1 (pow.f64 y 2)) (pow.f64 x 2))
(+.f64 (*.f64 -1 (pow.f64 y 2)) (pow.f64 x 2))
(*.f64 -1 (pow.f64 y 2))
(+.f64 (*.f64 -1 (pow.f64 y 2)) (pow.f64 x 2))
(+.f64 (*.f64 -1 (pow.f64 y 2)) (pow.f64 x 2))
(+.f64 (*.f64 -1 (pow.f64 y 2)) (pow.f64 x 2))
(*.f64 -1 (pow.f64 y 2))
(+.f64 (*.f64 -1 (pow.f64 y 2)) (pow.f64 x 2))
(+.f64 (*.f64 -1 (pow.f64 y 2)) (pow.f64 x 2))
(+.f64 (*.f64 -1 (pow.f64 y 2)) (pow.f64 x 2))
-1
(-.f64 (*.f64 2 (/.f64 x y)) 1)
(-.f64 (+.f64 (*.f64 -2 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (*.f64 2 (/.f64 x y))) 1)
(-.f64 (+.f64 (*.f64 -2 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (+.f64 (*.f64 2 (/.f64 (pow.f64 x 3) (pow.f64 y 3))) (*.f64 2 (/.f64 x y)))) 1)
1
(+.f64 1 (*.f64 -2 (/.f64 y x)))
(-.f64 (+.f64 1 (+.f64 (*.f64 -2 (/.f64 y x)) (*.f64 -1 (/.f64 (pow.f64 y 2) (pow.f64 x 2))))) (+.f64 (/.f64 (pow.f64 y 2) (pow.f64 x 2)) (*.f64 -4 (/.f64 (pow.f64 y 2) (pow.f64 x 2)))))
(-.f64 (+.f64 1 (+.f64 (*.f64 -2 (/.f64 y x)) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 2 (*.f64 y (-.f64 (*.f64 -1 (pow.f64 y 2)) (+.f64 (pow.f64 y 2) (*.f64 -4 (pow.f64 y 2)))))) (*.f64 -2 (pow.f64 y 3))) (pow.f64 x 3))) (*.f64 -1 (/.f64 (pow.f64 y 2) (pow.f64 x 2)))))) (+.f64 (*.f64 -4 (/.f64 (pow.f64 y 2) (pow.f64 x 2))) (/.f64 (pow.f64 y 2) (pow.f64 x 2))))
1
(+.f64 1 (*.f64 -2 (/.f64 y x)))
(-.f64 (+.f64 1 (+.f64 (*.f64 -2 (/.f64 y x)) (*.f64 -1 (/.f64 (pow.f64 y 2) (pow.f64 x 2))))) (+.f64 (/.f64 (pow.f64 y 2) (pow.f64 x 2)) (*.f64 -4 (/.f64 (pow.f64 y 2) (pow.f64 x 2)))))
(-.f64 (+.f64 1 (+.f64 (*.f64 -2 (/.f64 y x)) (+.f64 (*.f64 2 (/.f64 (pow.f64 y 3) (pow.f64 x 3))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 y 2) (pow.f64 x 2))) (*.f64 -2 (/.f64 (*.f64 y (-.f64 (*.f64 -1 (pow.f64 y 2)) (+.f64 (pow.f64 y 2) (*.f64 -4 (pow.f64 y 2))))) (pow.f64 x 3))))))) (+.f64 (*.f64 -4 (/.f64 (pow.f64 y 2) (pow.f64 x 2))) (/.f64 (pow.f64 y 2) (pow.f64 x 2))))
1
(+.f64 1 (*.f64 -2 (/.f64 y x)))
(+.f64 1 (+.f64 (*.f64 -2 (/.f64 y x)) (*.f64 2 (/.f64 (pow.f64 y 2) (pow.f64 x 2)))))
(+.f64 (*.f64 -2 (/.f64 (pow.f64 y 3) (pow.f64 x 3))) (+.f64 1 (+.f64 (*.f64 -2 (/.f64 y x)) (*.f64 2 (/.f64 (pow.f64 y 2) (pow.f64 x 2))))))
-1
(-.f64 (*.f64 2 (/.f64 x y)) 1)
(-.f64 (+.f64 (/.f64 (pow.f64 x 2) (pow.f64 y 2)) (*.f64 2 (/.f64 x y))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (+.f64 1 (*.f64 4 (/.f64 (pow.f64 x 2) (pow.f64 y 2))))))
(-.f64 (+.f64 (/.f64 (pow.f64 x 2) (pow.f64 y 2)) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 2 (pow.f64 x 3)) (*.f64 2 (*.f64 (-.f64 (pow.f64 x 2) (+.f64 (*.f64 4 (pow.f64 x 2)) (*.f64 -1 (pow.f64 x 2)))) x))) (pow.f64 y 3))) (*.f64 2 (/.f64 x y)))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (+.f64 1 (*.f64 4 (/.f64 (pow.f64 x 2) (pow.f64 y 2))))))
-1
(-.f64 (*.f64 2 (/.f64 x y)) 1)
(-.f64 (+.f64 (/.f64 (pow.f64 x 2) (pow.f64 y 2)) (*.f64 2 (/.f64 x y))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (+.f64 1 (*.f64 4 (/.f64 (pow.f64 x 2) (pow.f64 y 2))))))
(-.f64 (+.f64 (*.f64 -2 (/.f64 (*.f64 (-.f64 (pow.f64 x 2) (+.f64 (*.f64 4 (pow.f64 x 2)) (*.f64 -1 (pow.f64 x 2)))) x) (pow.f64 y 3))) (+.f64 (/.f64 (pow.f64 x 2) (pow.f64 y 2)) (+.f64 (*.f64 -2 (/.f64 (pow.f64 x 3) (pow.f64 y 3))) (*.f64 2 (/.f64 x y))))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (+.f64 1 (*.f64 4 (/.f64 (pow.f64 x 2) (pow.f64 y 2))))))
Outputs
(*.f64 -1 y)
(neg.f64 y)
(+.f64 (*.f64 -1 y) x)
(fma.f64 -1 y x)
(-.f64 x y)
(+.f64 (*.f64 -1 y) x)
(fma.f64 -1 y x)
(-.f64 x y)
(+.f64 (*.f64 -1 y) x)
(fma.f64 -1 y x)
(-.f64 x y)
x
(+.f64 (*.f64 -1 y) x)
(fma.f64 -1 y x)
(-.f64 x y)
(+.f64 (*.f64 -1 y) x)
(fma.f64 -1 y x)
(-.f64 x y)
(+.f64 (*.f64 -1 y) x)
(fma.f64 -1 y x)
(-.f64 x y)
x
(+.f64 (*.f64 -1 y) x)
(fma.f64 -1 y x)
(-.f64 x y)
(+.f64 (*.f64 -1 y) x)
(fma.f64 -1 y x)
(-.f64 x y)
(+.f64 (*.f64 -1 y) x)
(fma.f64 -1 y x)
(-.f64 x y)
x
(+.f64 (*.f64 -1 y) x)
(fma.f64 -1 y x)
(-.f64 x y)
(+.f64 (*.f64 -1 y) x)
(fma.f64 -1 y x)
(-.f64 x y)
(+.f64 (*.f64 -1 y) x)
(fma.f64 -1 y x)
(-.f64 x y)
(*.f64 -1 y)
(neg.f64 y)
(+.f64 (*.f64 -1 y) x)
(fma.f64 -1 y x)
(-.f64 x y)
(+.f64 (*.f64 -1 y) x)
(fma.f64 -1 y x)
(-.f64 x y)
(+.f64 (*.f64 -1 y) x)
(fma.f64 -1 y x)
(-.f64 x y)
(*.f64 -1 y)
(neg.f64 y)
(+.f64 (*.f64 -1 y) x)
(fma.f64 -1 y x)
(-.f64 x y)
(+.f64 (*.f64 -1 y) x)
(fma.f64 -1 y x)
(-.f64 x y)
(+.f64 (*.f64 -1 y) x)
(fma.f64 -1 y x)
(-.f64 x y)
(*.f64 -1 (pow.f64 y 2))
(neg.f64 (*.f64 y y))
(*.f64 y (neg.f64 y))
(+.f64 (*.f64 -1 (pow.f64 y 2)) (pow.f64 x 2))
(fma.f64 -1 (*.f64 y y) (*.f64 x x))
(-.f64 (*.f64 x x) (*.f64 y y))
(+.f64 (*.f64 -1 (pow.f64 y 2)) (pow.f64 x 2))
(fma.f64 -1 (*.f64 y y) (*.f64 x x))
(-.f64 (*.f64 x x) (*.f64 y y))
(+.f64 (*.f64 -1 (pow.f64 y 2)) (pow.f64 x 2))
(fma.f64 -1 (*.f64 y y) (*.f64 x x))
(-.f64 (*.f64 x x) (*.f64 y y))
(pow.f64 x 2)
(*.f64 x x)
(+.f64 (*.f64 -1 (pow.f64 y 2)) (pow.f64 x 2))
(fma.f64 -1 (*.f64 y y) (*.f64 x x))
(-.f64 (*.f64 x x) (*.f64 y y))
(+.f64 (*.f64 -1 (pow.f64 y 2)) (pow.f64 x 2))
(fma.f64 -1 (*.f64 y y) (*.f64 x x))
(-.f64 (*.f64 x x) (*.f64 y y))
(+.f64 (*.f64 -1 (pow.f64 y 2)) (pow.f64 x 2))
(fma.f64 -1 (*.f64 y y) (*.f64 x x))
(-.f64 (*.f64 x x) (*.f64 y y))
(pow.f64 x 2)
(*.f64 x x)
(+.f64 (*.f64 -1 (pow.f64 y 2)) (pow.f64 x 2))
(fma.f64 -1 (*.f64 y y) (*.f64 x x))
(-.f64 (*.f64 x x) (*.f64 y y))
(+.f64 (*.f64 -1 (pow.f64 y 2)) (pow.f64 x 2))
(fma.f64 -1 (*.f64 y y) (*.f64 x x))
(-.f64 (*.f64 x x) (*.f64 y y))
(+.f64 (*.f64 -1 (pow.f64 y 2)) (pow.f64 x 2))
(fma.f64 -1 (*.f64 y y) (*.f64 x x))
(-.f64 (*.f64 x x) (*.f64 y y))
(pow.f64 x 2)
(*.f64 x x)
(+.f64 (*.f64 -1 (pow.f64 y 2)) (pow.f64 x 2))
(fma.f64 -1 (*.f64 y y) (*.f64 x x))
(-.f64 (*.f64 x x) (*.f64 y y))
(+.f64 (*.f64 -1 (pow.f64 y 2)) (pow.f64 x 2))
(fma.f64 -1 (*.f64 y y) (*.f64 x x))
(-.f64 (*.f64 x x) (*.f64 y y))
(+.f64 (*.f64 -1 (pow.f64 y 2)) (pow.f64 x 2))
(fma.f64 -1 (*.f64 y y) (*.f64 x x))
(-.f64 (*.f64 x x) (*.f64 y y))
(*.f64 -1 (pow.f64 y 2))
(neg.f64 (*.f64 y y))
(*.f64 y (neg.f64 y))
(+.f64 (*.f64 -1 (pow.f64 y 2)) (pow.f64 x 2))
(fma.f64 -1 (*.f64 y y) (*.f64 x x))
(-.f64 (*.f64 x x) (*.f64 y y))
(+.f64 (*.f64 -1 (pow.f64 y 2)) (pow.f64 x 2))
(fma.f64 -1 (*.f64 y y) (*.f64 x x))
(-.f64 (*.f64 x x) (*.f64 y y))
(+.f64 (*.f64 -1 (pow.f64 y 2)) (pow.f64 x 2))
(fma.f64 -1 (*.f64 y y) (*.f64 x x))
(-.f64 (*.f64 x x) (*.f64 y y))
(*.f64 -1 (pow.f64 y 2))
(neg.f64 (*.f64 y y))
(*.f64 y (neg.f64 y))
(+.f64 (*.f64 -1 (pow.f64 y 2)) (pow.f64 x 2))
(fma.f64 -1 (*.f64 y y) (*.f64 x x))
(-.f64 (*.f64 x x) (*.f64 y y))
(+.f64 (*.f64 -1 (pow.f64 y 2)) (pow.f64 x 2))
(fma.f64 -1 (*.f64 y y) (*.f64 x x))
(-.f64 (*.f64 x x) (*.f64 y y))
(+.f64 (*.f64 -1 (pow.f64 y 2)) (pow.f64 x 2))
(fma.f64 -1 (*.f64 y y) (*.f64 x x))
(-.f64 (*.f64 x x) (*.f64 y y))
-1
(-.f64 (*.f64 2 (/.f64 x y)) 1)
(fma.f64 2 (/.f64 x y) -1)
(-.f64 (+.f64 (*.f64 -2 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (*.f64 2 (/.f64 x y))) 1)
(+.f64 (*.f64 -2 (/.f64 (*.f64 x x) (*.f64 y y))) (fma.f64 2 (/.f64 x y) -1))
(fma.f64 -2 (*.f64 (/.f64 x y) (/.f64 x y)) (fma.f64 2 (/.f64 x y) -1))
(fma.f64 2 (/.f64 x y) (fma.f64 -2 (*.f64 (/.f64 x y) (/.f64 x y)) -1))
(-.f64 (+.f64 (*.f64 -2 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (+.f64 (*.f64 2 (/.f64 (pow.f64 x 3) (pow.f64 y 3))) (*.f64 2 (/.f64 x y)))) 1)
(+.f64 (fma.f64 -2 (/.f64 (*.f64 x x) (*.f64 y y)) (*.f64 2 (+.f64 (/.f64 (pow.f64 x 3) (pow.f64 y 3)) (/.f64 x y)))) -1)
(fma.f64 -2 (*.f64 (/.f64 x y) (/.f64 x y)) (fma.f64 2 (+.f64 (/.f64 x y) (/.f64 (pow.f64 x 3) (pow.f64 y 3))) -1))
(fma.f64 2 (+.f64 (/.f64 x y) (pow.f64 (/.f64 x y) 3)) (fma.f64 -2 (*.f64 (/.f64 x y) (/.f64 x y)) -1))
1
(+.f64 1 (*.f64 -2 (/.f64 y x)))
(fma.f64 -2 (/.f64 y x) 1)
(-.f64 (+.f64 1 (+.f64 (*.f64 -2 (/.f64 y x)) (*.f64 -1 (/.f64 (pow.f64 y 2) (pow.f64 x 2))))) (+.f64 (/.f64 (pow.f64 y 2) (pow.f64 x 2)) (*.f64 -4 (/.f64 (pow.f64 y 2) (pow.f64 x 2)))))
(+.f64 1 (-.f64 (fma.f64 -2 (/.f64 y x) (/.f64 (neg.f64 (*.f64 y y)) (*.f64 x x))) (*.f64 -3 (/.f64 (*.f64 y y) (*.f64 x x)))))
(+.f64 (-.f64 (fma.f64 -2 (/.f64 y x) 1) (/.f64 (*.f64 y y) (*.f64 x x))) (*.f64 3 (/.f64 (*.f64 y y) (*.f64 x x))))
(fma.f64 2 (/.f64 y (/.f64 (*.f64 x x) y)) (fma.f64 -2 (/.f64 y x) 1))
(-.f64 (+.f64 1 (+.f64 (*.f64 -2 (/.f64 y x)) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 2 (*.f64 y (-.f64 (*.f64 -1 (pow.f64 y 2)) (+.f64 (pow.f64 y 2) (*.f64 -4 (pow.f64 y 2)))))) (*.f64 -2 (pow.f64 y 3))) (pow.f64 x 3))) (*.f64 -1 (/.f64 (pow.f64 y 2) (pow.f64 x 2)))))) (+.f64 (*.f64 -4 (/.f64 (pow.f64 y 2) (pow.f64 x 2))) (/.f64 (pow.f64 y 2) (pow.f64 x 2))))
(+.f64 1 (-.f64 (fma.f64 -2 (/.f64 y x) (fma.f64 -1 (/.f64 (fma.f64 2 (*.f64 y (-.f64 (neg.f64 (*.f64 y y)) (*.f64 -3 (*.f64 y y)))) (*.f64 -2 (pow.f64 y 3))) (pow.f64 x 3)) (/.f64 (neg.f64 (*.f64 y y)) (*.f64 x x)))) (*.f64 -3 (/.f64 (*.f64 y y) (*.f64 x x)))))
(+.f64 (fma.f64 -2 (/.f64 y x) 1) (+.f64 (-.f64 (/.f64 (*.f64 y (neg.f64 y)) (*.f64 x x)) (/.f64 (fma.f64 2 (*.f64 2 (pow.f64 y 3)) (*.f64 -2 (pow.f64 y 3))) (pow.f64 x 3))) (*.f64 3 (/.f64 (*.f64 y y) (*.f64 x x)))))
(fma.f64 -2 (pow.f64 (/.f64 y x) 3) (fma.f64 2 (/.f64 y (/.f64 (*.f64 x x) y)) (fma.f64 -2 (/.f64 y x) 1)))
1
(+.f64 1 (*.f64 -2 (/.f64 y x)))
(fma.f64 -2 (/.f64 y x) 1)
(-.f64 (+.f64 1 (+.f64 (*.f64 -2 (/.f64 y x)) (*.f64 -1 (/.f64 (pow.f64 y 2) (pow.f64 x 2))))) (+.f64 (/.f64 (pow.f64 y 2) (pow.f64 x 2)) (*.f64 -4 (/.f64 (pow.f64 y 2) (pow.f64 x 2)))))
(+.f64 1 (-.f64 (fma.f64 -2 (/.f64 y x) (/.f64 (neg.f64 (*.f64 y y)) (*.f64 x x))) (*.f64 -3 (/.f64 (*.f64 y y) (*.f64 x x)))))
(+.f64 (-.f64 (fma.f64 -2 (/.f64 y x) 1) (/.f64 (*.f64 y y) (*.f64 x x))) (*.f64 3 (/.f64 (*.f64 y y) (*.f64 x x))))
(fma.f64 2 (/.f64 y (/.f64 (*.f64 x x) y)) (fma.f64 -2 (/.f64 y x) 1))
(-.f64 (+.f64 1 (+.f64 (*.f64 -2 (/.f64 y x)) (+.f64 (*.f64 2 (/.f64 (pow.f64 y 3) (pow.f64 x 3))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 y 2) (pow.f64 x 2))) (*.f64 -2 (/.f64 (*.f64 y (-.f64 (*.f64 -1 (pow.f64 y 2)) (+.f64 (pow.f64 y 2) (*.f64 -4 (pow.f64 y 2))))) (pow.f64 x 3))))))) (+.f64 (*.f64 -4 (/.f64 (pow.f64 y 2) (pow.f64 x 2))) (/.f64 (pow.f64 y 2) (pow.f64 x 2))))
(+.f64 1 (-.f64 (fma.f64 -2 (/.f64 y x) (fma.f64 -1 (/.f64 (fma.f64 2 (*.f64 y (-.f64 (neg.f64 (*.f64 y y)) (*.f64 -3 (*.f64 y y)))) (*.f64 -2 (pow.f64 y 3))) (pow.f64 x 3)) (/.f64 (neg.f64 (*.f64 y y)) (*.f64 x x)))) (*.f64 -3 (/.f64 (*.f64 y y) (*.f64 x x)))))
(+.f64 (fma.f64 -2 (/.f64 y x) 1) (+.f64 (-.f64 (/.f64 (*.f64 y (neg.f64 y)) (*.f64 x x)) (/.f64 (fma.f64 2 (*.f64 2 (pow.f64 y 3)) (*.f64 -2 (pow.f64 y 3))) (pow.f64 x 3))) (*.f64 3 (/.f64 (*.f64 y y) (*.f64 x x)))))
(fma.f64 -2 (pow.f64 (/.f64 y x) 3) (fma.f64 2 (/.f64 y (/.f64 (*.f64 x x) y)) (fma.f64 -2 (/.f64 y x) 1)))
1
(+.f64 1 (*.f64 -2 (/.f64 y x)))
(fma.f64 -2 (/.f64 y x) 1)
(+.f64 1 (+.f64 (*.f64 -2 (/.f64 y x)) (*.f64 2 (/.f64 (pow.f64 y 2) (pow.f64 x 2)))))
(+.f64 1 (-.f64 (fma.f64 -2 (/.f64 y x) (/.f64 (neg.f64 (*.f64 y y)) (*.f64 x x))) (*.f64 -3 (/.f64 (*.f64 y y) (*.f64 x x)))))
(+.f64 (-.f64 (fma.f64 -2 (/.f64 y x) 1) (/.f64 (*.f64 y y) (*.f64 x x))) (*.f64 3 (/.f64 (*.f64 y y) (*.f64 x x))))
(fma.f64 2 (/.f64 y (/.f64 (*.f64 x x) y)) (fma.f64 -2 (/.f64 y x) 1))
(+.f64 (*.f64 -2 (/.f64 (pow.f64 y 3) (pow.f64 x 3))) (+.f64 1 (+.f64 (*.f64 -2 (/.f64 y x)) (*.f64 2 (/.f64 (pow.f64 y 2) (pow.f64 x 2))))))
(+.f64 1 (-.f64 (fma.f64 -2 (/.f64 y x) (fma.f64 -1 (/.f64 (fma.f64 2 (*.f64 y (-.f64 (neg.f64 (*.f64 y y)) (*.f64 -3 (*.f64 y y)))) (*.f64 -2 (pow.f64 y 3))) (pow.f64 x 3)) (/.f64 (neg.f64 (*.f64 y y)) (*.f64 x x)))) (*.f64 -3 (/.f64 (*.f64 y y) (*.f64 x x)))))
(+.f64 (fma.f64 -2 (/.f64 y x) 1) (+.f64 (-.f64 (/.f64 (*.f64 y (neg.f64 y)) (*.f64 x x)) (/.f64 (fma.f64 2 (*.f64 2 (pow.f64 y 3)) (*.f64 -2 (pow.f64 y 3))) (pow.f64 x 3))) (*.f64 3 (/.f64 (*.f64 y y) (*.f64 x x)))))
(fma.f64 -2 (pow.f64 (/.f64 y x) 3) (fma.f64 2 (/.f64 y (/.f64 (*.f64 x x) y)) (fma.f64 -2 (/.f64 y x) 1)))
-1
(-.f64 (*.f64 2 (/.f64 x y)) 1)
(fma.f64 2 (/.f64 x y) -1)
(-.f64 (+.f64 (/.f64 (pow.f64 x 2) (pow.f64 y 2)) (*.f64 2 (/.f64 x y))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (+.f64 1 (*.f64 4 (/.f64 (pow.f64 x 2) (pow.f64 y 2))))))
(-.f64 (+.f64 (*.f64 2 (/.f64 x y)) (/.f64 (*.f64 x x) (*.f64 y y))) (fma.f64 -1 (/.f64 (*.f64 x x) (*.f64 y y)) (+.f64 1 (*.f64 (/.f64 (*.f64 x x) (*.f64 y y)) 4))))
(-.f64 (fma.f64 2 (/.f64 x y) (*.f64 (/.f64 x y) (/.f64 x y))) (-.f64 (fma.f64 (*.f64 (/.f64 x y) (/.f64 x y)) 4 1) (*.f64 (/.f64 x y) (/.f64 x y))))
(+.f64 (*.f64 (/.f64 x y) (+.f64 2 (/.f64 x y))) (-.f64 -1 (*.f64 (*.f64 (/.f64 x y) (/.f64 x y)) 3)))
(fma.f64 2 (/.f64 x y) (+.f64 (/.f64 (*.f64 x (-.f64 x (*.f64 x 3))) (*.f64 y y)) -1))
(-.f64 (+.f64 (/.f64 (pow.f64 x 2) (pow.f64 y 2)) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 2 (pow.f64 x 3)) (*.f64 2 (*.f64 (-.f64 (pow.f64 x 2) (+.f64 (*.f64 4 (pow.f64 x 2)) (*.f64 -1 (pow.f64 x 2)))) x))) (pow.f64 y 3))) (*.f64 2 (/.f64 x y)))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (+.f64 1 (*.f64 4 (/.f64 (pow.f64 x 2) (pow.f64 y 2))))))
(+.f64 (/.f64 (*.f64 x x) (*.f64 y y)) (-.f64 (fma.f64 -1 (/.f64 (*.f64 2 (+.f64 (pow.f64 x 3) (*.f64 x (-.f64 (*.f64 x x) (*.f64 (*.f64 x x) 3))))) (pow.f64 y 3)) (*.f64 2 (/.f64 x y))) (fma.f64 -1 (/.f64 (*.f64 x x) (*.f64 y y)) (+.f64 1 (*.f64 (/.f64 (*.f64 x x) (*.f64 y y)) 4)))))
(+.f64 (fma.f64 2 (/.f64 x y) (/.f64 (*.f64 -2 (+.f64 (pow.f64 x 3) (*.f64 x (fma.f64 x x (*.f64 (*.f64 x x) -3))))) (pow.f64 y 3))) (-.f64 (*.f64 (/.f64 x y) (/.f64 x y)) (-.f64 (fma.f64 (*.f64 (/.f64 x y) (/.f64 x y)) 4 1) (*.f64 (/.f64 x y) (/.f64 x y)))))
(+.f64 (*.f64 (/.f64 x y) (+.f64 2 (/.f64 x y))) (+.f64 (/.f64 -2 (/.f64 (pow.f64 y 3) (fma.f64 x (*.f64 x (-.f64 x (*.f64 x 3))) (pow.f64 x 3)))) (-.f64 -1 (*.f64 (*.f64 (/.f64 x y) (/.f64 x y)) 3))))
(+.f64 (fma.f64 2 (/.f64 x y) (/.f64 -2 (/.f64 (pow.f64 y 3) (fma.f64 x (*.f64 x (-.f64 x (*.f64 x 3))) (pow.f64 x 3))))) (+.f64 (/.f64 (*.f64 x (-.f64 x (*.f64 x 3))) (*.f64 y y)) -1))
-1
(-.f64 (*.f64 2 (/.f64 x y)) 1)
(fma.f64 2 (/.f64 x y) -1)
(-.f64 (+.f64 (/.f64 (pow.f64 x 2) (pow.f64 y 2)) (*.f64 2 (/.f64 x y))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (+.f64 1 (*.f64 4 (/.f64 (pow.f64 x 2) (pow.f64 y 2))))))
(-.f64 (+.f64 (*.f64 2 (/.f64 x y)) (/.f64 (*.f64 x x) (*.f64 y y))) (fma.f64 -1 (/.f64 (*.f64 x x) (*.f64 y y)) (+.f64 1 (*.f64 (/.f64 (*.f64 x x) (*.f64 y y)) 4))))
(-.f64 (fma.f64 2 (/.f64 x y) (*.f64 (/.f64 x y) (/.f64 x y))) (-.f64 (fma.f64 (*.f64 (/.f64 x y) (/.f64 x y)) 4 1) (*.f64 (/.f64 x y) (/.f64 x y))))
(+.f64 (*.f64 (/.f64 x y) (+.f64 2 (/.f64 x y))) (-.f64 -1 (*.f64 (*.f64 (/.f64 x y) (/.f64 x y)) 3)))
(fma.f64 2 (/.f64 x y) (+.f64 (/.f64 (*.f64 x (-.f64 x (*.f64 x 3))) (*.f64 y y)) -1))
(-.f64 (+.f64 (*.f64 -2 (/.f64 (*.f64 (-.f64 (pow.f64 x 2) (+.f64 (*.f64 4 (pow.f64 x 2)) (*.f64 -1 (pow.f64 x 2)))) x) (pow.f64 y 3))) (+.f64 (/.f64 (pow.f64 x 2) (pow.f64 y 2)) (+.f64 (*.f64 -2 (/.f64 (pow.f64 x 3) (pow.f64 y 3))) (*.f64 2 (/.f64 x y))))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (+.f64 1 (*.f64 4 (/.f64 (pow.f64 x 2) (pow.f64 y 2))))))
(-.f64 (fma.f64 -2 (/.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 x x) 3)) (/.f64 (pow.f64 y 3) x)) (+.f64 (/.f64 (*.f64 x x) (*.f64 y y)) (fma.f64 -2 (/.f64 (pow.f64 x 3) (pow.f64 y 3)) (*.f64 2 (/.f64 x y))))) (fma.f64 -1 (/.f64 (*.f64 x x) (*.f64 y y)) (+.f64 1 (*.f64 (/.f64 (*.f64 x x) (*.f64 y y)) 4))))
(+.f64 (fma.f64 -2 (/.f64 x (/.f64 (pow.f64 y 3) (fma.f64 x x (*.f64 (*.f64 x x) -3)))) (*.f64 (/.f64 x y) (/.f64 x y))) (-.f64 (fma.f64 -2 (/.f64 (pow.f64 x 3) (pow.f64 y 3)) (*.f64 2 (/.f64 x y))) (-.f64 (fma.f64 (*.f64 (/.f64 x y) (/.f64 x y)) 4 1) (*.f64 (/.f64 x y) (/.f64 x y)))))
(+.f64 (fma.f64 -2 (pow.f64 (/.f64 x y) 3) (*.f64 (/.f64 x y) (+.f64 2 (/.f64 x y)))) (fma.f64 -2 (/.f64 (+.f64 (pow.f64 x 3) (*.f64 (pow.f64 x 3) -3)) (pow.f64 y 3)) (-.f64 -1 (*.f64 (*.f64 (/.f64 x y) (/.f64 x y)) 3))))
(+.f64 (+.f64 (/.f64 (*.f64 x (-.f64 x (*.f64 x 3))) (*.f64 y y)) -1) (fma.f64 -2 (/.f64 (+.f64 (pow.f64 x 3) (*.f64 (pow.f64 x 3) -3)) (pow.f64 y 3)) (fma.f64 -2 (pow.f64 (/.f64 x y) 3) (*.f64 2 (/.f64 x y)))))

eval232.0ms (3.8%)

Compiler

Compiled 10456 to 3129 computations (70.1% saved)

prune126.0ms (2.1%)

Pruning

13 alts after pruning (4 fresh and 9 done)

PrunedKeptTotal
New5123515
Fresh112
Picked011
Done088
Total51313526
Error
0b
Counts
526 → 13
Alt Table
Click to see full alt table
StatusErrorProgram
0.0b
(-.f64 (/.f64 x (+.f64 x y)) (/.f64 y (+.f64 x y)))
32.0b
-1
31.7b
(+.f64 -1 (*.f64 (/.f64 x y) (+.f64 2 (*.f64 (/.f64 x y) -2))))
31.7b
(-.f64 (/.f64 x y) 1)
32.5b
1
32.2b
(-.f64 1 (/.f64 y x))
31.9b
(+.f64 1 (*.f64 -2 (/.f64 y x)))
35.1b
(/.f64 (/.f64 (-.f64 (*.f64 x (+.f64 x y)) (*.f64 y (+.f64 x y))) (+.f64 x y)) (+.f64 x y))
0.0b
(/.f64 (-.f64 x y) (+.f64 x y))
35.1b
(/.f64 (/.f64 (-.f64 (*.f64 x x) (*.f64 y y)) (+.f64 x y)) (+.f64 x y))
31.8b
(/.f64 x (+.f64 x y))
31.2b
(-.f64 (*.f64 2 (/.f64 x y)) 1)
31.2b
(/.f64 (neg.f64 y) (+.f64 x y))
Compiler

Compiled 128 to 76 computations (40.6% saved)

regimes32.0ms (0.5%)

Counts
18 → 1
Calls
Call 1
Inputs
1
1
-1
1
-1
(-.f64 (/.f64 x y) 1)
(-.f64 1 (/.f64 y x))
(/.f64 x (+.f64 x y))
(/.f64 (neg.f64 y) (+.f64 x y))
(-.f64 (*.f64 2 (/.f64 x y)) 1)
(+.f64 1 (*.f64 -2 (/.f64 y x)))
(/.f64 (-.f64 x y) (+.f64 x y))
(-.f64 (/.f64 x (+.f64 x y)) (/.f64 y (+.f64 x y)))
(+.f64 -1 (*.f64 (/.f64 x y) (+.f64 2 (*.f64 (/.f64 x y) -2))))
(/.f64 (/.f64 (-.f64 (*.f64 x x) (*.f64 y y)) (+.f64 x y)) (+.f64 x y))
(/.f64 (/.f64 (-.f64 (*.f64 x (+.f64 x y)) (*.f64 y (+.f64 x y))) (+.f64 x y)) (+.f64 x y))
(log1p.f64 (expm1.f64 (/.f64 (-.f64 x y) (+.f64 x y))))
(pow.f64 (cbrt.f64 (/.f64 (-.f64 x y) (+.f64 x y))) 3)
Outputs
(-.f64 (/.f64 x (+.f64 x y)) (/.f64 y (+.f64 x y)))
Calls

4 calls:

10.0ms
x
10.0ms
y
4.0ms
(/.f64 (-.f64 x y) (+.f64 x y))
3.0ms
(/.f64 (-.f64 x y) (+.f64 x y))
Results
ErrorSegmentsBranch
0.0b1x
0.0b1y
0.0b1(/.f64 (-.f64 x y) (+.f64 x y))
0.0b1(/.f64 (-.f64 x y) (+.f64 x y))
Compiler

Compiled 150 to 65 computations (56.7% saved)

regimes21.0ms (0.3%)

Counts
12 → 1
Calls
Call 1
Inputs
1
1
-1
1
-1
(-.f64 (/.f64 x y) 1)
(-.f64 1 (/.f64 y x))
(/.f64 x (+.f64 x y))
(/.f64 (neg.f64 y) (+.f64 x y))
(-.f64 (*.f64 2 (/.f64 x y)) 1)
(+.f64 1 (*.f64 -2 (/.f64 y x)))
(/.f64 (-.f64 x y) (+.f64 x y))
Outputs
(/.f64 (-.f64 x y) (+.f64 x y))
Calls

3 calls:

8.0ms
x
7.0ms
y
3.0ms
(/.f64 (-.f64 x y) (+.f64 x y))
Results
ErrorSegmentsBranch
0.0b1x
0.0b1y
0.0b1(/.f64 (-.f64 x y) (+.f64 x y))
Compiler

Compiled 64 to 36 computations (43.8% saved)

regimes120.0ms (2%)

Counts
11 → 3
Calls
Call 1
Inputs
1
1
-1
1
-1
(-.f64 (/.f64 x y) 1)
(-.f64 1 (/.f64 y x))
(/.f64 x (+.f64 x y))
(/.f64 (neg.f64 y) (+.f64 x y))
(-.f64 (*.f64 2 (/.f64 x y)) 1)
(+.f64 1 (*.f64 -2 (/.f64 y x)))
Outputs
(-.f64 (*.f64 2 (/.f64 x y)) 1)
(+.f64 1 (*.f64 -2 (/.f64 y x)))
(/.f64 (neg.f64 y) (+.f64 x y))
Calls

2 calls:

64.0ms
x
54.0ms
y
Results
ErrorSegmentsBranch
14.4b3x
11.6b3y
Compiler

Compiled 48 to 29 computations (39.6% saved)

bsearch69.0ms (1.1%)

Algorithm
binary-search
Steps
TimeLeftRight
53.0ms
1.4755641090288917e+32
2.8487081468914104e+32
15.0ms
-3.331931817511613e+27
-7.443142735360578e+19
Compiler

Compiled 14 to 9 computations (35.7% saved)

regimes49.0ms (0.8%)

Counts
10 → 3
Calls
Call 1
Inputs
1
1
-1
1
-1
(-.f64 (/.f64 x y) 1)
(-.f64 1 (/.f64 y x))
(/.f64 x (+.f64 x y))
(/.f64 (neg.f64 y) (+.f64 x y))
(-.f64 (*.f64 2 (/.f64 x y)) 1)
Outputs
(-.f64 (*.f64 2 (/.f64 x y)) 1)
(/.f64 x (+.f64 x y))
(/.f64 (neg.f64 y) (+.f64 x y))
Calls

2 calls:

27.0ms
x
19.0ms
y
Results
ErrorSegmentsBranch
14.4b3x
11.7b3y
Compiler

Compiled 41 to 25 computations (39% saved)

bsearch66.0ms (1.1%)

Algorithm
binary-search
Steps
TimeLeftRight
29.0ms
1.4755641090288917e+32
2.8487081468914104e+32
36.0ms
-3.331931817511613e+27
-7.443142735360578e+19
Compiler

Compiled 14 to 9 computations (35.7% saved)

regimes78.0ms (1.3%)

Counts
9 → 3
Calls
Call 1
Inputs
1
1
-1
1
-1
(-.f64 (/.f64 x y) 1)
(-.f64 1 (/.f64 y x))
(/.f64 x (+.f64 x y))
(/.f64 (neg.f64 y) (+.f64 x y))
Outputs
(/.f64 (neg.f64 y) (+.f64 x y))
(/.f64 x (+.f64 x y))
(/.f64 (neg.f64 y) (+.f64 x y))
Calls

2 calls:

39.0ms
x
36.0ms
y
Results
ErrorSegmentsBranch
14.7b3x
11.9b3y
Compiler

Compiled 34 to 21 computations (38.2% saved)

bsearch60.0ms (1%)

Algorithm
binary-search
Steps
TimeLeftRight
28.0ms
1.4755641090288917e+32
2.8487081468914104e+32
32.0ms
-3.331931817511613e+27
-7.443142735360578e+19
Compiler

Compiled 14 to 9 computations (35.7% saved)

regimes68.0ms (1.1%)

Counts
8 → 3
Calls
Call 1
Inputs
1
1
-1
1
-1
(-.f64 (/.f64 x y) 1)
(-.f64 1 (/.f64 y x))
(/.f64 x (+.f64 x y))
Outputs
(-.f64 (/.f64 x y) 1)
(/.f64 x (+.f64 x y))
(-.f64 (/.f64 x y) 1)
Calls

2 calls:

33.0ms
y
32.0ms
x
Results
ErrorSegmentsBranch
14.7b3x
12.0b3y
Compiler

Compiled 28 to 19 computations (32.1% saved)

bsearch55.0ms (0.9%)

Algorithm
binary-search
Steps
TimeLeftRight
27.0ms
1.4755641090288917e+32
2.8487081468914104e+32
27.0ms
-3.331931817511613e+27
-7.443142735360578e+19
Compiler

Compiled 14 to 9 computations (35.7% saved)

regimes104.0ms (1.7%)

Counts
7 → 3
Calls
Call 1
Inputs
1
1
-1
1
-1
(-.f64 (/.f64 x y) 1)
(-.f64 1 (/.f64 y x))
Outputs
(-.f64 (/.f64 x y) 1)
(-.f64 1 (/.f64 y x))
(-.f64 (/.f64 x y) 1)
Calls

2 calls:

57.0ms
x
44.0ms
y
Results
ErrorSegmentsBranch
14.8b3x
12.0b3y
Compiler

Compiled 23 to 17 computations (26.1% saved)

bsearch54.0ms (0.9%)

Algorithm
binary-search
Steps
TimeLeftRight
26.0ms
1.4755641090288917e+32
2.8487081468914104e+32
27.0ms
-3.331931817511613e+27
-7.443142735360578e+19
Compiler

Compiled 14 to 9 computations (35.7% saved)

regimes85.0ms (1.4%)

Counts
6 → 3
Calls
Call 1
Inputs
1
1
-1
1
-1
(-.f64 (/.f64 x y) 1)
Outputs
(-.f64 (/.f64 x y) 1)
1
(-.f64 (/.f64 x y) 1)
Calls

2 calls:

28.0ms
y
28.0ms
x
Results
ErrorSegmentsBranch
14.9b3x
12.2b3y
Compiler

Compiled 18 to 14 computations (22.2% saved)

bsearch54.0ms (0.9%)

Algorithm
binary-search
Steps
TimeLeftRight
26.0ms
1.4755641090288917e+32
2.8487081468914104e+32
28.0ms
-3.331931817511613e+27
-7.443142735360578e+19
Compiler

Compiled 14 to 9 computations (35.7% saved)

regimes101.0ms (1.7%)

Counts
5 → 3
Calls
Call 1
Inputs
1
1
-1
1
-1
Outputs
-1
1
-1
Calls

2 calls:

70.0ms
x
29.0ms
y
Results
ErrorSegmentsBranch
15.2b3x
12.3b3y
Compiler

Compiled 13 to 11 computations (15.4% saved)

bsearch55.0ms (0.9%)

Algorithm
binary-search
Steps
TimeLeftRight
28.0ms
1.4755641090288917e+32
2.8487081468914104e+32
27.0ms
-3.331931817511613e+27
-7.443142735360578e+19
Compiler

Compiled 14 to 9 computations (35.7% saved)

regimes15.0ms (0.3%)

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0.0b (-0%)

Counts
2 → 1
Calls
Call 1
Inputs
1
1
Outputs
1
Calls

2 calls:

7.0ms
x
7.0ms
y
Results
ErrorSegmentsBranch
32.5b1x
32.5b1y
Compiler

Compiled 10 to 8 computations (20% saved)

simplify39.0ms (0.6%)

Algorithm
egg-herbie
Rules
10×+-commutative_binary64
sub-neg_binary64
*-commutative_binary64
neg-sub0_binary64
neg-mul-1_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
041251
158251
270251
375251
477251
Stop Event
fuel
saturated
Calls
Call 1
Inputs
(-.f64 (/.f64 x (+.f64 x y)) (/.f64 y (+.f64 x y)))
(/.f64 (-.f64 x y) (+.f64 x y))
(if (<=.f64 y -3331931817511612760278958080) (-.f64 (*.f64 2 (/.f64 x y)) 1) (if (<=.f64 y 147556410902889169989526322413568) (+.f64 1 (*.f64 -2 (/.f64 y x))) (/.f64 (neg.f64 y) (+.f64 x y))))
(if (<=.f64 y -3331931817511612760278958080) (-.f64 (*.f64 2 (/.f64 x y)) 1) (if (<=.f64 y 147556410902889169989526322413568) (/.f64 x (+.f64 x y)) (/.f64 (neg.f64 y) (+.f64 x y))))
(if (<=.f64 y -3331931817511612760278958080) (/.f64 (neg.f64 y) (+.f64 x y)) (if (<=.f64 y 147556410902889169989526322413568) (/.f64 x (+.f64 x y)) (/.f64 (neg.f64 y) (+.f64 x y))))
(if (<=.f64 y -3331931817511612760278958080) (-.f64 (/.f64 x y) 1) (if (<=.f64 y 147556410902889169989526322413568) (/.f64 x (+.f64 x y)) (-.f64 (/.f64 x y) 1)))
(if (<=.f64 y -3331931817511612760278958080) (-.f64 (/.f64 x y) 1) (if (<=.f64 y 147556410902889169989526322413568) (-.f64 1 (/.f64 y x)) (-.f64 (/.f64 x y) 1)))
(if (<=.f64 y -3331931817511612760278958080) (-.f64 (/.f64 x y) 1) (if (<=.f64 y 147556410902889169989526322413568) 1 (-.f64 (/.f64 x y) 1)))
(if (<=.f64 y -3331931817511612760278958080) -1 (if (<=.f64 y 147556410902889169989526322413568) 1 -1))
1
Outputs
(-.f64 (/.f64 x (+.f64 x y)) (/.f64 y (+.f64 x y)))
(/.f64 (-.f64 x y) (+.f64 x y))
(if (<=.f64 y -3331931817511612760278958080) (-.f64 (*.f64 2 (/.f64 x y)) 1) (if (<=.f64 y 147556410902889169989526322413568) (+.f64 1 (*.f64 -2 (/.f64 y x))) (/.f64 (neg.f64 y) (+.f64 x y))))
(if (<=.f64 y -3331931817511612760278958080) (+.f64 (*.f64 2 (/.f64 x y)) -1) (if (<=.f64 y 147556410902889169989526322413568) (+.f64 1 (*.f64 -2 (/.f64 y x))) (/.f64 (neg.f64 y) (+.f64 x y))))
(if (<=.f64 y -3331931817511612760278958080) (-.f64 (*.f64 2 (/.f64 x y)) 1) (if (<=.f64 y 147556410902889169989526322413568) (/.f64 x (+.f64 x y)) (/.f64 (neg.f64 y) (+.f64 x y))))
(if (<=.f64 y -3331931817511612760278958080) (+.f64 (*.f64 2 (/.f64 x y)) -1) (if (<=.f64 y 147556410902889169989526322413568) (/.f64 x (+.f64 x y)) (/.f64 (neg.f64 y) (+.f64 x y))))
(if (<=.f64 y -3331931817511612760278958080) (/.f64 (neg.f64 y) (+.f64 x y)) (if (<=.f64 y 147556410902889169989526322413568) (/.f64 x (+.f64 x y)) (/.f64 (neg.f64 y) (+.f64 x y))))
(if (<=.f64 y -3331931817511612760278958080) (-.f64 (/.f64 x y) 1) (if (<=.f64 y 147556410902889169989526322413568) (/.f64 x (+.f64 x y)) (-.f64 (/.f64 x y) 1)))
(if (<=.f64 y -3331931817511612760278958080) (+.f64 (/.f64 x y) -1) (if (<=.f64 y 147556410902889169989526322413568) (/.f64 x (+.f64 x y)) (+.f64 (/.f64 x y) -1)))
(if (<=.f64 y -3331931817511612760278958080) (-.f64 (/.f64 x y) 1) (if (<=.f64 y 147556410902889169989526322413568) (-.f64 1 (/.f64 y x)) (-.f64 (/.f64 x y) 1)))
(if (<=.f64 y -3331931817511612760278958080) (+.f64 (/.f64 x y) -1) (if (<=.f64 y 147556410902889169989526322413568) (-.f64 1 (/.f64 y x)) (+.f64 (/.f64 x y) -1)))
(if (<=.f64 y -3331931817511612760278958080) (-.f64 (/.f64 x y) 1) (if (<=.f64 y 147556410902889169989526322413568) 1 (-.f64 (/.f64 x y) 1)))
(if (<=.f64 y -3331931817511612760278958080) (+.f64 (/.f64 x y) -1) (if (<=.f64 y 147556410902889169989526322413568) 1 (+.f64 (/.f64 x y) -1)))
(if (<=.f64 y -3331931817511612760278958080) -1 (if (<=.f64 y 147556410902889169989526322413568) 1 -1))
1
Compiler

Compiled 194 to 120 computations (38.1% saved)

soundness0.0ms (0%)

end268.0ms (4.4%)

Compiler

Compiled 176 to 85 computations (51.7% saved)

Profiling

Loading profile data...