Details

Time bar (total: 3.9s)

analyze33.0ms (0.8%)

Algorithm
1×search
Search
TrueOtherFalseIter
0%18.7%81.3%0
0%18.7%81.3%1
0%18.7%81.3%2
0%18.7%81.3%3
0%18.7%81.3%4
4.7%14%81.3%5
5.3%13.5%81.3%6
15.8%2.9%81.3%7
15.8%2.9%81.3%8
17.4%1.3%81.3%9
17.4%1.3%81.3%10
18.1%0.6%81.3%11
18.1%0.6%81.3%12
Compiler

Compiled 28 to 17 computations (39.3% saved)

sample1.3s (32.2%)

Results
1.3s8255×body64valid
0.0ms1×body128valid

preprocess105.0ms (2.7%)

Algorithm
2×egg-herbie
Rules
772×fma-def_binary64
588×div-sub_binary64
453×sub-neg_binary64
418×unsub-neg_binary64
365×neg-mul-1_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01540
14340
210340
325040
456940
5156340
6347240
7465640
8549240
9624640
10700040
11749340
12773240
13774740
022
Stop Event
1×saturated
1×node limit
Calls
Call 1
Inputs
0
1
Outputs
0
1
Call 2
Inputs
(/.f64 (*.f64 (-.f64 x y) (+.f64 x y)) (+.f64 (*.f64 x x) (*.f64 y y)))
(/.f64 (*.f64 (-.f64 y x) (+.f64 y x)) (+.f64 (*.f64 y y) (*.f64 x x)))
Outputs
(/.f64 (*.f64 (-.f64 x y) (+.f64 x y)) (+.f64 (*.f64 x x) (*.f64 y y)))
(/.f64 (*.f64 (-.f64 x y) (+.f64 x y)) (fma.f64 y y (*.f64 x x)))
(*.f64 (+.f64 x y) (/.f64 (-.f64 x y) (fma.f64 y y (*.f64 x x))))
(*.f64 (+.f64 x y) (/.f64 (-.f64 x y) (fma.f64 x x (*.f64 y y))))
(*.f64 (-.f64 x y) (/.f64 (+.f64 x y) (fma.f64 y y (*.f64 x x))))
(/.f64 (*.f64 (-.f64 y x) (+.f64 y x)) (+.f64 (*.f64 y y) (*.f64 x x)))
(/.f64 (-.f64 y x) (/.f64 (fma.f64 y y (*.f64 x x)) (+.f64 x y)))
(*.f64 (/.f64 (-.f64 y x) (fma.f64 y y (*.f64 x x))) (+.f64 x y))
(*.f64 (+.f64 x y) (/.f64 (-.f64 y x) (fma.f64 y y (*.f64 x x))))
(*.f64 (+.f64 x y) (/.f64 (-.f64 y x) (fma.f64 x x (*.f64 y y))))
(*.f64 (-.f64 y x) (/.f64 (+.f64 x y) (fma.f64 y y (*.f64 x x))))
(*.f64 (-.f64 y x) (/.f64 (+.f64 x y) (fma.f64 x x (*.f64 y y))))
Compiler

Compiled 17 to 9 computations (47.1% saved)

simplify47.0ms (1.2%)

Algorithm
1×egg-herbie
Rules
917×times-frac_binary64
770×fma-def_binary64
474×unsub-neg_binary64
469×fma-neg_binary64
370×sub-neg_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01020
12420
25820
313820
432820
584820
6201720
7471320
8644420
Stop Event
1×node limit
Counts
1 → 2
Calls
Call 1
Inputs
(/.f64 (*.f64 (-.f64 x y) (+.f64 x y)) (+.f64 (*.f64 x x) (*.f64 y y)))
Outputs
(/.f64 (*.f64 (-.f64 x y) (+.f64 x y)) (+.f64 (*.f64 x x) (*.f64 y y)))
(/.f64 (-.f64 x y) (/.f64 (fma.f64 x x (*.f64 y y)) (+.f64 x y)))
(/.f64 (+.f64 x y) (/.f64 (fma.f64 x x (*.f64 y y)) (-.f64 x y)))
(*.f64 (/.f64 (+.f64 x y) (fma.f64 x x (*.f64 y y))) (-.f64 x y))
(/.f64 (*.f64 (-.f64 x y) (+.f64 x y)) (fma.f64 x x (*.f64 y y)))
(*.f64 (-.f64 x y) (/.f64 (+.f64 x y) (fma.f64 x x (*.f64 y y))))
(*.f64 (+.f64 x y) (/.f64 (-.f64 x y) (fma.f64 x x (*.f64 y y))))

prune3.0ms (0.1%)

Pruning

3 alts after pruning (3 fresh and 0 done)

PrunedKeptTotal
New022
Fresh011
Picked000
Done000
Total033
Error
18.4b
Counts
3 → 2
Alt Table
StatusErrorProgram
▶18.8b
(/.f64 (*.f64 (-.f64 x y) (+.f64 x y)) (+.f64 (*.f64 x x) (*.f64 y y)))
19.1b
(*.f64 (+.f64 x y) (/.f64 (-.f64 x y) (fma.f64 x x (*.f64 y y))))
Compiler

Compiled 97 to 46 computations (52.6% saved)

localize8.0ms (0.2%)

Local error

Found 1 expressions with local error:

NewErrorProgram
✓18.5b
(/.f64 (*.f64 (-.f64 x y) (+.f64 x y)) (+.f64 (*.f64 x x) (*.f64 y y)))

series5.0ms (0.1%)

Counts
1 → 24
Calls

6 calls:

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

rewrite56.0ms (1.4%)

Algorithm
1×batch-egg-rewrite
Rules
648×fma-def_binary64
641×log-prod_binary64
318×pow2_binary64
273×fma-neg_binary64
221×pow1/3_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01020
123719
2389319
Stop Event
1×node limit
Counts
1 → 51
Calls
Call 1
Inputs
(/.f64 (*.f64 (-.f64 x y) (+.f64 x y)) (+.f64 (*.f64 x x) (*.f64 y y)))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 (-.f64 x y) (/.f64 (pow.f64 (hypot.f64 x y) 2) (+.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 (-.f64 x y) (/.f64 (pow.f64 (hypot.f64 x y) 2) (+.f64 x y))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (-.f64 x y) (/.f64 (pow.f64 (hypot.f64 x y) 2) (+.f64 x y)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (-.f64 x y) (/.f64 (pow.f64 (hypot.f64 x y) 2) (+.f64 x y)))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (-.f64 x y) (/.f64 (pow.f64 (hypot.f64 x y) 2) (+.f64 x y)))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (-.f64 x y) (/.f64 (pow.f64 (hypot.f64 x y) 2) (+.f64 x y))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 x (/.f64 (pow.f64 (hypot.f64 x y) 2) (+.f64 x y))) (/.f64 y (/.f64 (pow.f64 (hypot.f64 x y) 2) (+.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 x y) (/.f64 1 (/.f64 (pow.f64 (hypot.f64 x y) 2) (+.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 x y) (*.f64 (+.f64 x y) (/.f64 1 (pow.f64 (hypot.f64 x y) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 x y) (*.f64 (-.f64 x y) (/.f64 1 (pow.f64 (hypot.f64 x y) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (*.f64 x x) (*.f64 y y)) (/.f64 1 (pow.f64 (hypot.f64 x y) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (-.f64 x y) (/.f64 (pow.f64 (hypot.f64 x y) 2) (+.f64 x y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (-.f64 x y) (/.f64 (pow.f64 (hypot.f64 x y) 2) (+.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (-.f64 (*.f64 x x) (*.f64 y y))) 2) (*.f64 (cbrt.f64 (-.f64 (*.f64 x x) (*.f64 y y))) (/.f64 1 (pow.f64 (hypot.f64 x y) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (-.f64 x y) (/.f64 (pow.f64 (hypot.f64 x y) 2) (+.f64 x y)))) (pow.f64 (cbrt.f64 (/.f64 (-.f64 x y) (/.f64 (pow.f64 (hypot.f64 x y) 2) (+.f64 x y)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 x y) (/.f64 (pow.f64 (hypot.f64 x y) 2) (+.f64 x y)))) 2) (cbrt.f64 (/.f64 (-.f64 x y) (/.f64 (pow.f64 (hypot.f64 x y) 2) (+.f64 x y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (-.f64 (*.f64 x x) (*.f64 y y))) (*.f64 (sqrt.f64 (-.f64 (*.f64 x x) (*.f64 y y))) (/.f64 1 (pow.f64 (hypot.f64 x y) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (-.f64 (*.f64 x x) (*.f64 y y))) (hypot.f64 x y)) (/.f64 (sqrt.f64 (-.f64 (*.f64 x x) (*.f64 y y))) (hypot.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 x y) (neg.f64 (-.f64 x y))) (/.f64 1 (neg.f64 (pow.f64 (hypot.f64 x y) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (hypot.f64 x y) 2)) (-.f64 (*.f64 x x) (*.f64 y y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (-.f64 x y) 1) (/.f64 (+.f64 x y) (pow.f64 (hypot.f64 x y) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 x y) 1) (/.f64 (-.f64 x y) (pow.f64 (hypot.f64 x y) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (-.f64 x y) (pow.f64 (hypot.f64 x y) 2)) (+.f64 x y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 (*.f64 x x) (*.f64 y y))) 2) 1) (/.f64 (cbrt.f64 (-.f64 (*.f64 x x) (*.f64 y y))) (pow.f64 (hypot.f64 x y) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (-.f64 (*.f64 x x) (*.f64 y y))) 1) (/.f64 (sqrt.f64 (-.f64 (*.f64 x x) (*.f64 y y))) (pow.f64 (hypot.f64 x y) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (-.f64 x y) (pow.f64 (pow.f64 (cbrt.f64 (hypot.f64 x y)) 2) 2)) (/.f64 (+.f64 x y) (pow.f64 (cbrt.f64 (hypot.f64 x y)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 x y) (pow.f64 (pow.f64 (cbrt.f64 (hypot.f64 x y)) 2) 2)) (/.f64 (-.f64 x y) (pow.f64 (cbrt.f64 (hypot.f64 x y)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (pow.f64 (cbrt.f64 (hypot.f64 x y)) 2) 2)) (/.f64 (-.f64 (*.f64 x x) (*.f64 y y)) (pow.f64 (cbrt.f64 (hypot.f64 x y)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 (*.f64 x x) (*.f64 y y))) 2) (pow.f64 (pow.f64 (cbrt.f64 (hypot.f64 x y)) 2) 2)) (cbrt.f64 (/.f64 (-.f64 x y) (/.f64 (pow.f64 (hypot.f64 x y) 2) (+.f64 x y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (-.f64 (*.f64 x x) (*.f64 y y))) (pow.f64 (pow.f64 (cbrt.f64 (hypot.f64 x y)) 2) 2)) (/.f64 (sqrt.f64 (-.f64 (*.f64 x x) (*.f64 y y))) (pow.f64 (cbrt.f64 (hypot.f64 x y)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (-.f64 x y) (hypot.f64 x y)) (/.f64 (+.f64 x y) (hypot.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 x y) (hypot.f64 x y)) (/.f64 (-.f64 x y) (hypot.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (hypot.f64 x y)) (/.f64 (-.f64 (*.f64 x x) (*.f64 y y)) (hypot.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 (*.f64 x x) (*.f64 y y))) 2) (hypot.f64 x y)) (/.f64 (cbrt.f64 (-.f64 (*.f64 x x) (*.f64 y y))) (hypot.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (-.f64 (*.f64 x x) (*.f64 y y)) (+.f64 (pow.f64 x 6) (pow.f64 y 6))) (+.f64 (pow.f64 x 4) (-.f64 (pow.f64 y 4) (pow.f64 (*.f64 x y) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (-.f64 (*.f64 x x) (*.f64 y y)) (-.f64 (pow.f64 x 4) (pow.f64 y 4))) (-.f64 (*.f64 x x) (*.f64 y y)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (-.f64 x y) (/.f64 (pow.f64 (hypot.f64 x y) 2) (+.f64 x y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (-.f64 x y) (/.f64 (pow.f64 (hypot.f64 x y) 2) (+.f64 x y))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (-.f64 x y) (/.f64 (pow.f64 (hypot.f64 x y) 2) (+.f64 x y)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (sqrt.f64 (-.f64 (*.f64 x x) (*.f64 y y))) (hypot.f64 x y)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (pow.f64 (hypot.f64 x y) 2) (-.f64 (*.f64 x x) (*.f64 y y))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (pow.f64 (-.f64 (*.f64 x x) (*.f64 y y)) 3) (pow.f64 (pow.f64 (hypot.f64 x y) 2) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (/.f64 (pow.f64 (hypot.f64 x y) 2) (-.f64 (*.f64 x x) (*.f64 y y))) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (-.f64 (*.f64 x x) (*.f64 y y)) (neg.f64 (pow.f64 (hypot.f64 x y) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (-.f64 x y) (/.f64 (pow.f64 (hypot.f64 x y) 2) (+.f64 x y))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (-.f64 x y) (/.f64 (pow.f64 (hypot.f64 x y) 2) (+.f64 x y)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (-.f64 x y) (/.f64 (pow.f64 (hypot.f64 x y) 2) (+.f64 x y))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (-.f64 x y) (/.f64 (pow.f64 (hypot.f64 x y) 2) (+.f64 x y))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (-.f64 (*.f64 x x) (*.f64 y y)) 3) (pow.f64 (pow.f64 (hypot.f64 x y) 2) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (-.f64 x y) (/.f64 (pow.f64 (hypot.f64 x y) 2) (+.f64 x y)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (-.f64 x y) (/.f64 (pow.f64 (hypot.f64 x y) 2) (+.f64 x y)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 (-.f64 x y) (/.f64 (pow.f64 (hypot.f64 x y) 2) (+.f64 x y)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (-.f64 x y) (/.f64 (pow.f64 (hypot.f64 x y) 2) (+.f64 x y)))))))))

simplify36.0ms (0.9%)

Algorithm
1×egg-herbie
Rules
894×fma-neg_binary64
533×times-frac_binary64
449×cancel-sign-sub-inv_binary64
425×fma-def_binary64
231×associate-+l+_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
09424
132124
2119824
3525924
Stop Event
1×node limit
Counts
75 → 70
Calls
Call 1
Inputs
-1
(-.f64 (*.f64 2 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) 1)
(-.f64 (+.f64 (*.f64 2 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (*.f64 -2 (/.f64 (pow.f64 x 4) (pow.f64 y 4)))) 1)
(-.f64 (+.f64 (*.f64 2 (/.f64 (pow.f64 x 6) (pow.f64 y 6))) (+.f64 (*.f64 2 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (*.f64 -2 (/.f64 (pow.f64 x 4) (pow.f64 y 4))))) 1)
1
(+.f64 (/.f64 y x) (+.f64 1 (*.f64 -1 (/.f64 y x))))
(-.f64 (+.f64 (/.f64 y x) (+.f64 1 (+.f64 (*.f64 -1 (/.f64 (pow.f64 y 2) (pow.f64 x 2))) (*.f64 -1 (/.f64 y x))))) (/.f64 (pow.f64 y 2) (pow.f64 x 2)))
(-.f64 (+.f64 (/.f64 y x) (+.f64 1 (+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 y 2) (+.f64 y (*.f64 -1 y))) (pow.f64 x 3))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 y 2) (pow.f64 x 2))) (*.f64 -1 (/.f64 y x)))))) (/.f64 (pow.f64 y 2) (pow.f64 x 2)))
1
(+.f64 (/.f64 y x) (+.f64 1 (*.f64 -1 (/.f64 y x))))
(+.f64 (/.f64 y x) (+.f64 1 (+.f64 (*.f64 -1 (/.f64 y x)) (*.f64 -1 (/.f64 (-.f64 (pow.f64 y 2) (*.f64 -1 (pow.f64 y 2))) (pow.f64 x 2))))))
(+.f64 (/.f64 y x) (+.f64 1 (+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 y 2) (+.f64 y (*.f64 -1 y))) (pow.f64 x 3))) (+.f64 (*.f64 -1 (/.f64 y x)) (*.f64 -1 (/.f64 (-.f64 (pow.f64 y 2) (*.f64 -1 (pow.f64 y 2))) (pow.f64 x 2)))))))
1
(+.f64 1 (*.f64 -2 (/.f64 (pow.f64 y 2) (pow.f64 x 2))))
(+.f64 1 (+.f64 (*.f64 -2 (/.f64 (pow.f64 y 2) (pow.f64 x 2))) (*.f64 2 (/.f64 (pow.f64 y 4) (pow.f64 x 4)))))
(+.f64 1 (+.f64 (*.f64 -2 (/.f64 (pow.f64 y 2) (pow.f64 x 2))) (+.f64 (*.f64 2 (/.f64 (pow.f64 y 4) (pow.f64 x 4))) (*.f64 -2 (/.f64 (pow.f64 y 6) (pow.f64 x 6))))))
-1
(-.f64 (+.f64 (/.f64 x y) (*.f64 -1 (/.f64 x y))) 1)
(-.f64 (+.f64 (/.f64 (pow.f64 x 2) (pow.f64 y 2)) (+.f64 (/.f64 x y) (*.f64 -1 (/.f64 x y)))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) 1))
(-.f64 (+.f64 (/.f64 (pow.f64 x 2) (pow.f64 y 2)) (+.f64 (/.f64 x y) (+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 x 2) (+.f64 (*.f64 -1 x) x)) (pow.f64 y 3))) (*.f64 -1 (/.f64 x y))))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) 1))
-1
(-.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 x) x) y)) 1)
(-.f64 (+.f64 (/.f64 (pow.f64 x 2) (pow.f64 y 2)) (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 x) x) y))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) 1))
(-.f64 (+.f64 (/.f64 (pow.f64 x 2) (pow.f64 y 2)) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 x) x) y)) (/.f64 (*.f64 (pow.f64 x 2) (+.f64 (*.f64 -1 x) x)) (pow.f64 y 3)))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) 1))
Outputs
-1
(-.f64 (*.f64 2 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) 1)
-1
(-.f64 (+.f64 (*.f64 2 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (*.f64 -2 (/.f64 (pow.f64 x 4) (pow.f64 y 4)))) 1)
-1
(-.f64 (+.f64 (*.f64 2 (/.f64 (pow.f64 x 6) (pow.f64 y 6))) (+.f64 (*.f64 2 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (*.f64 -2 (/.f64 (pow.f64 x 4) (pow.f64 y 4))))) 1)
-1
1
-1
(+.f64 (/.f64 y x) (+.f64 1 (*.f64 -1 (/.f64 y x))))
-1
(-.f64 (+.f64 (/.f64 y x) (+.f64 1 (+.f64 (*.f64 -1 (/.f64 (pow.f64 y 2) (pow.f64 x 2))) (*.f64 -1 (/.f64 y x))))) (/.f64 (pow.f64 y 2) (pow.f64 x 2)))
-1
(-.f64 (+.f64 (/.f64 y x) (+.f64 1 (+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 y 2) (+.f64 y (*.f64 -1 y))) (pow.f64 x 3))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 y 2) (pow.f64 x 2))) (*.f64 -1 (/.f64 y x)))))) (/.f64 (pow.f64 y 2) (pow.f64 x 2)))
-1
1
-1
(+.f64 (/.f64 y x) (+.f64 1 (*.f64 -1 (/.f64 y x))))
-1
(+.f64 (/.f64 y x) (+.f64 1 (+.f64 (*.f64 -1 (/.f64 y x)) (*.f64 -1 (/.f64 (-.f64 (pow.f64 y 2) (*.f64 -1 (pow.f64 y 2))) (pow.f64 x 2))))))
-1
(+.f64 (/.f64 y x) (+.f64 1 (+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 y 2) (+.f64 y (*.f64 -1 y))) (pow.f64 x 3))) (+.f64 (*.f64 -1 (/.f64 y x)) (*.f64 -1 (/.f64 (-.f64 (pow.f64 y 2) (*.f64 -1 (pow.f64 y 2))) (pow.f64 x 2)))))))
-1
1
-1
(+.f64 1 (*.f64 -2 (/.f64 (pow.f64 y 2) (pow.f64 x 2))))
-1
(+.f64 1 (+.f64 (*.f64 -2 (/.f64 (pow.f64 y 2) (pow.f64 x 2))) (*.f64 2 (/.f64 (pow.f64 y 4) (pow.f64 x 4)))))
-1
(+.f64 1 (+.f64 (*.f64 -2 (/.f64 (pow.f64 y 2) (pow.f64 x 2))) (+.f64 (*.f64 2 (/.f64 (pow.f64 y 4) (pow.f64 x 4))) (*.f64 -2 (/.f64 (pow.f64 y 6) (pow.f64 x 6))))))
-1
-1
(-.f64 (+.f64 (/.f64 x y) (*.f64 -1 (/.f64 x y))) 1)
-1
(-.f64 (+.f64 (/.f64 (pow.f64 x 2) (pow.f64 y 2)) (+.f64 (/.f64 x y) (*.f64 -1 (/.f64 x y)))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) 1))
-1
(-.f64 (+.f64 (/.f64 (pow.f64 x 2) (pow.f64 y 2)) (+.f64 (/.f64 x y) (+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 x 2) (+.f64 (*.f64 -1 x) x)) (pow.f64 y 3))) (*.f64 -1 (/.f64 x y))))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) 1))
-1
-1
(-.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 x) x) y)) 1)
-1
(-.f64 (+.f64 (/.f64 (pow.f64 x 2) (pow.f64 y 2)) (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 x) x) y))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) 1))
-1
(-.f64 (+.f64 (/.f64 (pow.f64 x 2) (pow.f64 y 2)) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 x) x) y)) (/.f64 (*.f64 (pow.f64 x 2) (+.f64 (*.f64 -1 x) x)) (pow.f64 y 3)))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) 1))
-1

prune86.0ms (2.2%)

Pruning

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New68270
Fresh101
Picked011
Done000
Total69372
Error
0b
Counts
72 → 3
Alt Table
StatusErrorProgram
✓18.8b
(/.f64 (*.f64 (-.f64 x y) (+.f64 x y)) (+.f64 (*.f64 x x) (*.f64 y y)))
▶0.0b
(*.f64 (/.f64 (+.f64 x y) (hypot.f64 x y)) (/.f64 (-.f64 x y) (hypot.f64 x y)))
42.6b
1
Compiler

Compiled 1525 to 740 computations (51.5% saved)

localize7.0ms (0.2%)

Local error

Found 3 expressions with local error:

NewErrorProgram
✓0.0b
(/.f64 (+.f64 x y) (hypot.f64 x y))
✓0.0b
(*.f64 (/.f64 (+.f64 x y) (hypot.f64 x y)) (/.f64 (-.f64 x y) (hypot.f64 x y)))
✓0.0b
(/.f64 (-.f64 x y) (hypot.f64 x y))

series10.0ms (0.2%)

Counts
3 → 72
Calls

18 calls:

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

rewrite115.0ms (2.9%)

Algorithm
1×batch-egg-rewrite
Rules
805×prod-diff_binary64
624×log-prod_binary64
295×fma-def_binary64
267×log-div_binary64
200×expm1-udef_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0942
121439
2351539
Stop Event
1×node limit
Counts
3 → 259
Calls
Call 1
Inputs
(/.f64 (-.f64 x y) (hypot.f64 x y))
(*.f64 (/.f64 (+.f64 x y) (hypot.f64 x y)) (/.f64 (-.f64 x y) (hypot.f64 x y)))
(/.f64 (+.f64 x y) (hypot.f64 x y))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (-.f64 x y) (hypot.f64 x y)) (fma.f64 (neg.f64 (sqrt.f64 (/.f64 y (hypot.f64 x y)))) (sqrt.f64 (/.f64 y (hypot.f64 x y))) (/.f64 y (hypot.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (-.f64 x y) (hypot.f64 x y)) (fma.f64 (neg.f64 (/.f64 (sqrt.f64 y) (sqrt.f64 (hypot.f64 x y)))) (/.f64 (sqrt.f64 y) (sqrt.f64 (hypot.f64 x y))) (/.f64 y (hypot.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 x (hypot.f64 x y)) (neg.f64 (/.f64 y (hypot.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 (-.f64 x y) (hypot.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 x (/.f64 1 (hypot.f64 x y)) (neg.f64 (*.f64 (/.f64 1 (hypot.f64 x y)) y))) (fma.f64 (neg.f64 (/.f64 1 (hypot.f64 x y))) y (*.f64 (/.f64 1 (hypot.f64 x y)) y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 1 (/.f64 x (hypot.f64 x y)) (neg.f64 (*.f64 (/.f64 1 (hypot.f64 x y)) y))) (fma.f64 (neg.f64 (/.f64 1 (hypot.f64 x y))) y (*.f64 (/.f64 1 (hypot.f64 x y)) y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (*.f64 (cbrt.f64 (/.f64 x (hypot.f64 x y))) (cbrt.f64 (/.f64 x (hypot.f64 x y)))) (cbrt.f64 (/.f64 x (hypot.f64 x y))) (neg.f64 (*.f64 (/.f64 1 (hypot.f64 x y)) y))) (fma.f64 (neg.f64 (/.f64 1 (hypot.f64 x y))) y (*.f64 (/.f64 1 (hypot.f64 x y)) y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (sqrt.f64 (/.f64 x (hypot.f64 x y))) (sqrt.f64 (/.f64 x (hypot.f64 x y))) (neg.f64 (*.f64 (/.f64 1 (hypot.f64 x y)) y))) (fma.f64 (neg.f64 (/.f64 1 (hypot.f64 x y))) y (*.f64 (/.f64 1 (hypot.f64 x y)) y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (/.f64 1 (pow.f64 (cbrt.f64 (hypot.f64 x y)) 2)) (/.f64 x (cbrt.f64 (hypot.f64 x y))) (neg.f64 (*.f64 (/.f64 1 (hypot.f64 x y)) y))) (fma.f64 (neg.f64 (/.f64 1 (hypot.f64 x y))) y (*.f64 (/.f64 1 (hypot.f64 x y)) y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (/.f64 1 (sqrt.f64 (hypot.f64 x y))) (/.f64 x (sqrt.f64 (hypot.f64 x y))) (neg.f64 (*.f64 (/.f64 1 (hypot.f64 x y)) y))) (fma.f64 (neg.f64 (/.f64 1 (hypot.f64 x y))) y (*.f64 (/.f64 1 (hypot.f64 x y)) y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) 1) (/.f64 (cbrt.f64 x) (hypot.f64 x y)) (neg.f64 (*.f64 (/.f64 1 (hypot.f64 x y)) y))) (fma.f64 (neg.f64 (/.f64 1 (hypot.f64 x y))) y (*.f64 (/.f64 1 (hypot.f64 x y)) y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (/.f64 (sqrt.f64 x) 1) (/.f64 (sqrt.f64 x) (hypot.f64 x y)) (neg.f64 (*.f64 (/.f64 1 (hypot.f64 x y)) y))) (fma.f64 (neg.f64 (/.f64 1 (hypot.f64 x y))) y (*.f64 (/.f64 1 (hypot.f64 x y)) y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 (hypot.f64 x y)) 2)) (/.f64 (cbrt.f64 x) (cbrt.f64 (hypot.f64 x y))) (neg.f64 (*.f64 (/.f64 1 (hypot.f64 x y)) y))) (fma.f64 (neg.f64 (/.f64 1 (hypot.f64 x y))) y (*.f64 (/.f64 1 (hypot.f64 x y)) y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 (hypot.f64 x y)) 2)) (/.f64 (sqrt.f64 x) (cbrt.f64 (hypot.f64 x y))) (neg.f64 (*.f64 (/.f64 1 (hypot.f64 x y)) y))) (fma.f64 (neg.f64 (/.f64 1 (hypot.f64 x y))) y (*.f64 (/.f64 1 (hypot.f64 x y)) y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (sqrt.f64 (hypot.f64 x y))) (/.f64 (cbrt.f64 x) (sqrt.f64 (hypot.f64 x y))) (neg.f64 (*.f64 (/.f64 1 (hypot.f64 x y)) y))) (fma.f64 (neg.f64 (/.f64 1 (hypot.f64 x y))) y (*.f64 (/.f64 1 (hypot.f64 x y)) y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (/.f64 (sqrt.f64 x) (sqrt.f64 (hypot.f64 x y))) (/.f64 (sqrt.f64 x) (sqrt.f64 (hypot.f64 x y))) (neg.f64 (*.f64 (/.f64 1 (hypot.f64 x y)) y))) (fma.f64 (neg.f64 (/.f64 1 (hypot.f64 x y))) y (*.f64 (/.f64 1 (hypot.f64 x y)) y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 x (/.f64 1 (hypot.f64 x y)) (neg.f64 (*.f64 (/.f64 y (hypot.f64 x y)) 1))) (fma.f64 (neg.f64 (/.f64 y (hypot.f64 x y))) 1 (*.f64 (/.f64 y (hypot.f64 x y)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 1 (/.f64 x (hypot.f64 x y)) (neg.f64 (*.f64 (/.f64 y (hypot.f64 x y)) 1))) (fma.f64 (neg.f64 (/.f64 y (hypot.f64 x y))) 1 (*.f64 (/.f64 y (hypot.f64 x y)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (*.f64 (cbrt.f64 (/.f64 x (hypot.f64 x y))) (cbrt.f64 (/.f64 x (hypot.f64 x y)))) (cbrt.f64 (/.f64 x (hypot.f64 x y))) (neg.f64 (*.f64 (/.f64 y (hypot.f64 x y)) 1))) (fma.f64 (neg.f64 (/.f64 y (hypot.f64 x y))) 1 (*.f64 (/.f64 y (hypot.f64 x y)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (sqrt.f64 (/.f64 x (hypot.f64 x y))) (sqrt.f64 (/.f64 x (hypot.f64 x y))) (neg.f64 (*.f64 (/.f64 y (hypot.f64 x y)) 1))) (fma.f64 (neg.f64 (/.f64 y (hypot.f64 x y))) 1 (*.f64 (/.f64 y (hypot.f64 x y)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (/.f64 1 (pow.f64 (cbrt.f64 (hypot.f64 x y)) 2)) (/.f64 x (cbrt.f64 (hypot.f64 x y))) (neg.f64 (*.f64 (/.f64 y (hypot.f64 x y)) 1))) (fma.f64 (neg.f64 (/.f64 y (hypot.f64 x y))) 1 (*.f64 (/.f64 y (hypot.f64 x y)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (/.f64 1 (sqrt.f64 (hypot.f64 x y))) (/.f64 x (sqrt.f64 (hypot.f64 x y))) (neg.f64 (*.f64 (/.f64 y (hypot.f64 x y)) 1))) (fma.f64 (neg.f64 (/.f64 y (hypot.f64 x y))) 1 (*.f64 (/.f64 y (hypot.f64 x y)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) 1) (/.f64 (cbrt.f64 x) (hypot.f64 x y)) (neg.f64 (*.f64 (/.f64 y (hypot.f64 x y)) 1))) (fma.f64 (neg.f64 (/.f64 y (hypot.f64 x y))) 1 (*.f64 (/.f64 y (hypot.f64 x y)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (/.f64 (sqrt.f64 x) 1) (/.f64 (sqrt.f64 x) (hypot.f64 x y)) (neg.f64 (*.f64 (/.f64 y (hypot.f64 x y)) 1))) (fma.f64 (neg.f64 (/.f64 y (hypot.f64 x y))) 1 (*.f64 (/.f64 y (hypot.f64 x y)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 (hypot.f64 x y)) 2)) (/.f64 (cbrt.f64 x) (cbrt.f64 (hypot.f64 x y))) (neg.f64 (*.f64 (/.f64 y (hypot.f64 x y)) 1))) (fma.f64 (neg.f64 (/.f64 y (hypot.f64 x y))) 1 (*.f64 (/.f64 y (hypot.f64 x y)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 (hypot.f64 x y)) 2)) (/.f64 (sqrt.f64 x) (cbrt.f64 (hypot.f64 x y))) (neg.f64 (*.f64 (/.f64 y (hypot.f64 x y)) 1))) (fma.f64 (neg.f64 (/.f64 y (hypot.f64 x y))) 1 (*.f64 (/.f64 y (hypot.f64 x y)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (sqrt.f64 (hypot.f64 x y))) (/.f64 (cbrt.f64 x) (sqrt.f64 (hypot.f64 x y))) (neg.f64 (*.f64 (/.f64 y (hypot.f64 x y)) 1))) (fma.f64 (neg.f64 (/.f64 y (hypot.f64 x y))) 1 (*.f64 (/.f64 y (hypot.f64 x y)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (/.f64 (sqrt.f64 x) (sqrt.f64 (hypot.f64 x y))) (/.f64 (sqrt.f64 x) (sqrt.f64 (hypot.f64 x y))) (neg.f64 (*.f64 (/.f64 y (hypot.f64 x y)) 1))) (fma.f64 (neg.f64 (/.f64 y (hypot.f64 x y))) 1 (*.f64 (/.f64 y (hypot.f64 x y)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 x (/.f64 1 (hypot.f64 x y)) (neg.f64 (*.f64 (cbrt.f64 (/.f64 y (hypot.f64 x y))) (*.f64 (cbrt.f64 (/.f64 y (hypot.f64 x y))) (cbrt.f64 (/.f64 y (hypot.f64 x y))))))) (fma.f64 (neg.f64 (cbrt.f64 (/.f64 y (hypot.f64 x y)))) (*.f64 (cbrt.f64 (/.f64 y (hypot.f64 x y))) (cbrt.f64 (/.f64 y (hypot.f64 x y)))) (*.f64 (cbrt.f64 (/.f64 y (hypot.f64 x y))) (*.f64 (cbrt.f64 (/.f64 y (hypot.f64 x y))) (cbrt.f64 (/.f64 y (hypot.f64 x y)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 1 (/.f64 x (hypot.f64 x y)) (neg.f64 (*.f64 (cbrt.f64 (/.f64 y (hypot.f64 x y))) (*.f64 (cbrt.f64 (/.f64 y (hypot.f64 x y))) (cbrt.f64 (/.f64 y (hypot.f64 x y))))))) (fma.f64 (neg.f64 (cbrt.f64 (/.f64 y (hypot.f64 x y)))) (*.f64 (cbrt.f64 (/.f64 y (hypot.f64 x y))) (cbrt.f64 (/.f64 y (hypot.f64 x y)))) (*.f64 (cbrt.f64 (/.f64 y (hypot.f64 x y))) (*.f64 (cbrt.f64 (/.f64 y (hypot.f64 x y))) (cbrt.f64 (/.f64 y (hypot.f64 x y)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (*.f64 (cbrt.f64 (/.f64 x (hypot.f64 x y))) (cbrt.f64 (/.f64 x (hypot.f64 x y)))) (cbrt.f64 (/.f64 x (hypot.f64 x y))) (neg.f64 (*.f64 (cbrt.f64 (/.f64 y (hypot.f64 x y))) (*.f64 (cbrt.f64 (/.f64 y (hypot.f64 x y))) (cbrt.f64 (/.f64 y (hypot.f64 x y))))))) (fma.f64 (neg.f64 (cbrt.f64 (/.f64 y (hypot.f64 x y)))) (*.f64 (cbrt.f64 (/.f64 y (hypot.f64 x y))) (cbrt.f64 (/.f64 y (hypot.f64 x y)))) (*.f64 (cbrt.f64 (/.f64 y (hypot.f64 x y))) (*.f64 (cbrt.f64 (/.f64 y (hypot.f64 x y))) (cbrt.f64 (/.f64 y (hypot.f64 x y)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (sqrt.f64 (/.f64 x (hypot.f64 x y))) (sqrt.f64 (/.f64 x (hypot.f64 x y))) (neg.f64 (*.f64 (cbrt.f64 (/.f64 y (hypot.f64 x y))) (*.f64 (cbrt.f64 (/.f64 y (hypot.f64 x y))) (cbrt.f64 (/.f64 y (hypot.f64 x y))))))) (fma.f64 (neg.f64 (cbrt.f64 (/.f64 y (hypot.f64 x y)))) (*.f64 (cbrt.f64 (/.f64 y (hypot.f64 x y))) (cbrt.f64 (/.f64 y (hypot.f64 x y)))) (*.f64 (cbrt.f64 (/.f64 y (hypot.f64 x y))) (*.f64 (cbrt.f64 (/.f64 y (hypot.f64 x y))) (cbrt.f64 (/.f64 y (hypot.f64 x y)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (/.f64 1 (pow.f64 (cbrt.f64 (hypot.f64 x y)) 2)) (/.f64 x (cbrt.f64 (hypot.f64 x y))) (neg.f64 (*.f64 (cbrt.f64 (/.f64 y (hypot.f64 x y))) (*.f64 (cbrt.f64 (/.f64 y (hypot.f64 x y))) (cbrt.f64 (/.f64 y (hypot.f64 x y))))))) (fma.f64 (neg.f64 (cbrt.f64 (/.f64 y (hypot.f64 x y)))) (*.f64 (cbrt.f64 (/.f64 y (hypot.f64 x y))) (cbrt.f64 (/.f64 y (hypot.f64 x y)))) (*.f64 (cbrt.f64 (/.f64 y (hypot.f64 x y))) (*.f64 (cbrt.f64 (/.f64 y (hypot.f64 x y))) (cbrt.f64 (/.f64 y (hypot.f64 x y)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (/.f64 1 (sqrt.f64 (hypot.f64 x y))) (/.f64 x (sqrt.f64 (hypot.f64 x y))) (neg.f64 (*.f64 (cbrt.f64 (/.f64 y (hypot.f64 x y))) (*.f64 (cbrt.f64 (/.f64 y (hypot.f64 x y))) (cbrt.f64 (/.f64 y (hypot.f64 x y))))))) (fma.f64 (neg.f64 (cbrt.f64 (/.f64 y (hypot.f64 x y)))) (*.f64 (cbrt.f64 (/.f64 y (hypot.f64 x y))) (cbrt.f64 (/.f64 y (hypot.f64 x y)))) (*.f64 (cbrt.f64 (/.f64 y (hypot.f64 x y))) (*.f64 (cbrt.f64 (/.f64 y (hypot.f64 x y))) (cbrt.f64 (/.f64 y (hypot.f64 x y)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) 1) (/.f64 (cbrt.f64 x) (hypot.f64 x y)) (neg.f64 (*.f64 (cbrt.f64 (/.f64 y (hypot.f64 x y))) (*.f64 (cbrt.f64 (/.f64 y (hypot.f64 x y))) (cbrt.f64 (/.f64 y (hypot.f64 x y))))))) (fma.f64 (neg.f64 (cbrt.f64 (/.f64 y (hypot.f64 x y)))) (*.f64 (cbrt.f64 (/.f64 y (hypot.f64 x y))) (cbrt.f64 (/.f64 y (hypot.f64 x y)))) (*.f64 (cbrt.f64 (/.f64 y (hypot.f64 x y))) (*.f64 (cbrt.f64 (/.f64 y (hypot.f64 x y))) (cbrt.f64 (/.f64 y (hypot.f64 x y)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (/.f64 (sqrt.f64 x) 1) (/.f64 (sqrt.f64 x) (hypot.f64 x y)) (neg.f64 (*.f64 (cbrt.f64 (/.f64 y (hypot.f64 x y))) (*.f64 (cbrt.f64 (/.f64 y (hypot.f64 x y))) (cbrt.f64 (/.f64 y (hypot.f64 x y))))))) (fma.f64 (neg.f64 (cbrt.f64 (/.f64 y (hypot.f64 x y)))) (*.f64 (cbrt.f64 (/.f64 y (hypot.f64 x y))) (cbrt.f64 (/.f64 y (hypot.f64 x y)))) (*.f64 (cbrt.f64 (/.f64 y (hypot.f64 x y))) (*.f64 (cbrt.f64 (/.f64 y (hypot.f64 x y))) (cbrt.f64 (/.f64 y (hypot.f64 x y)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 (hypot.f64 x y)) 2)) (/.f64 (cbrt.f64 x) (cbrt.f64 (hypot.f64 x y))) (neg.f64 (*.f64 (cbrt.f64 (/.f64 y (hypot.f64 x y))) (*.f64 (cbrt.f64 (/.f64 y (hypot.f64 x y))) (cbrt.f64 (/.f64 y (hypot.f64 x y))))))) (fma.f64 (neg.f64 (cbrt.f64 (/.f64 y (hypot.f64 x y)))) (*.f64 (cbrt.f64 (/.f64 y (hypot.f64 x y))) (cbrt.f64 (/.f64 y (hypot.f64 x y)))) (*.f64 (cbrt.f64 (/.f64 y (hypot.f64 x y))) (*.f64 (cbrt.f64 (/.f64 y (hypot.f64 x y))) (cbrt.f64 (/.f64 y (hypot.f64 x y)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 (hypot.f64 x y)) 2)) (/.f64 (sqrt.f64 x) (cbrt.f64 (hypot.f64 x y))) (neg.f64 (*.f64 (cbrt.f64 (/.f64 y (hypot.f64 x y))) (*.f64 (cbrt.f64 (/.f64 y (hypot.f64 x y))) (cbrt.f64 (/.f64 y (hypot.f64 x y))))))) (fma.f64 (neg.f64 (cbrt.f64 (/.f64 y (hypot.f64 x y)))) (*.f64 (cbrt.f64 (/.f64 y (hypot.f64 x y))) (cbrt.f64 (/.f64 y (hypot.f64 x y)))) (*.f64 (cbrt.f64 (/.f64 y (hypot.f64 x y))) (*.f64 (cbrt.f64 (/.f64 y (hypot.f64 x y))) (cbrt.f64 (/.f64 y (hypot.f64 x y)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (sqrt.f64 (hypot.f64 x y))) (/.f64 (cbrt.f64 x) (sqrt.f64 (hypot.f64 x y))) (neg.f64 (*.f64 (cbrt.f64 (/.f64 y (hypot.f64 x y))) (*.f64 (cbrt.f64 (/.f64 y (hypot.f64 x y))) (cbrt.f64 (/.f64 y (hypot.f64 x y))))))) (fma.f64 (neg.f64 (cbrt.f64 (/.f64 y (hypot.f64 x y)))) (*.f64 (cbrt.f64 (/.f64 y (hypot.f64 x y))) (cbrt.f64 (/.f64 y (hypot.f64 x y)))) (*.f64 (cbrt.f64 (/.f64 y (hypot.f64 x y))) (*.f64 (cbrt.f64 (/.f64 y (hypot.f64 x y))) (cbrt.f64 (/.f64 y (hypot.f64 x y)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (/.f64 (sqrt.f64 x) (sqrt.f64 (hypot.f64 x y))) (/.f64 (sqrt.f64 x) (sqrt.f64 (hypot.f64 x y))) (neg.f64 (*.f64 (cbrt.f64 (/.f64 y (hypot.f64 x y))) (*.f64 (cbrt.f64 (/.f64 y (hypot.f64 x y))) (cbrt.f64 (/.f64 y (hypot.f64 x y))))))) (fma.f64 (neg.f64 (cbrt.f64 (/.f64 y (hypot.f64 x y)))) (*.f64 (cbrt.f64 (/.f64 y (hypot.f64 x y))) (cbrt.f64 (/.f64 y (hypot.f64 x y)))) (*.f64 (cbrt.f64 (/.f64 y (hypot.f64 x y))) (*.f64 (cbrt.f64 (/.f64 y (hypot.f64 x y))) (cbrt.f64 (/.f64 y (hypot.f64 x y)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 x (/.f64 1 (hypot.f64 x y)) (neg.f64 (*.f64 (/.f64 (cbrt.f64 y) (hypot.f64 x y)) (/.f64 (pow.f64 (cbrt.f64 y) 2) 1)))) (fma.f64 (neg.f64 (/.f64 (cbrt.f64 y) (hypot.f64 x y))) (/.f64 (pow.f64 (cbrt.f64 y) 2) 1) (*.f64 (/.f64 (cbrt.f64 y) (hypot.f64 x y)) (/.f64 (pow.f64 (cbrt.f64 y) 2) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 1 (/.f64 x (hypot.f64 x y)) (neg.f64 (*.f64 (/.f64 (cbrt.f64 y) (hypot.f64 x y)) (/.f64 (pow.f64 (cbrt.f64 y) 2) 1)))) (fma.f64 (neg.f64 (/.f64 (cbrt.f64 y) (hypot.f64 x y))) (/.f64 (pow.f64 (cbrt.f64 y) 2) 1) (*.f64 (/.f64 (cbrt.f64 y) (hypot.f64 x y)) (/.f64 (pow.f64 (cbrt.f64 y) 2) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (*.f64 (cbrt.f64 (/.f64 x (hypot.f64 x y))) (cbrt.f64 (/.f64 x (hypot.f64 x y)))) (cbrt.f64 (/.f64 x (hypot.f64 x y))) (neg.f64 (*.f64 (/.f64 (cbrt.f64 y) (hypot.f64 x y)) (/.f64 (pow.f64 (cbrt.f64 y) 2) 1)))) (fma.f64 (neg.f64 (/.f64 (cbrt.f64 y) (hypot.f64 x y))) (/.f64 (pow.f64 (cbrt.f64 y) 2) 1) (*.f64 (/.f64 (cbrt.f64 y) (hypot.f64 x y)) (/.f64 (pow.f64 (cbrt.f64 y) 2) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (sqrt.f64 (/.f64 x (hypot.f64 x y))) (sqrt.f64 (/.f64 x (hypot.f64 x y))) (neg.f64 (*.f64 (/.f64 (cbrt.f64 y) (hypot.f64 x y)) (/.f64 (pow.f64 (cbrt.f64 y) 2) 1)))) (fma.f64 (neg.f64 (/.f64 (cbrt.f64 y) (hypot.f64 x y))) (/.f64 (pow.f64 (cbrt.f64 y) 2) 1) (*.f64 (/.f64 (cbrt.f64 y) (hypot.f64 x y)) (/.f64 (pow.f64 (cbrt.f64 y) 2) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (/.f64 1 (pow.f64 (cbrt.f64 (hypot.f64 x y)) 2)) (/.f64 x (cbrt.f64 (hypot.f64 x y))) (neg.f64 (*.f64 (/.f64 (cbrt.f64 y) (hypot.f64 x y)) (/.f64 (pow.f64 (cbrt.f64 y) 2) 1)))) (fma.f64 (neg.f64 (/.f64 (cbrt.f64 y) (hypot.f64 x y))) (/.f64 (pow.f64 (cbrt.f64 y) 2) 1) (*.f64 (/.f64 (cbrt.f64 y) (hypot.f64 x y)) (/.f64 (pow.f64 (cbrt.f64 y) 2) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (/.f64 1 (sqrt.f64 (hypot.f64 x y))) (/.f64 x (sqrt.f64 (hypot.f64 x y))) (neg.f64 (*.f64 (/.f64 (cbrt.f64 y) (hypot.f64 x y)) (/.f64 (pow.f64 (cbrt.f64 y) 2) 1)))) (fma.f64 (neg.f64 (/.f64 (cbrt.f64 y) (hypot.f64 x y))) (/.f64 (pow.f64 (cbrt.f64 y) 2) 1) (*.f64 (/.f64 (cbrt.f64 y) (hypot.f64 x y)) (/.f64 (pow.f64 (cbrt.f64 y) 2) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) 1) (/.f64 (cbrt.f64 x) (hypot.f64 x y)) (neg.f64 (*.f64 (/.f64 (cbrt.f64 y) (hypot.f64 x y)) (/.f64 (pow.f64 (cbrt.f64 y) 2) 1)))) (fma.f64 (neg.f64 (/.f64 (cbrt.f64 y) (hypot.f64 x y))) (/.f64 (pow.f64 (cbrt.f64 y) 2) 1) (*.f64 (/.f64 (cbrt.f64 y) (hypot.f64 x y)) (/.f64 (pow.f64 (cbrt.f64 y) 2) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (/.f64 (sqrt.f64 x) 1) (/.f64 (sqrt.f64 x) (hypot.f64 x y)) (neg.f64 (*.f64 (/.f64 (cbrt.f64 y) (hypot.f64 x y)) (/.f64 (pow.f64 (cbrt.f64 y) 2) 1)))) (fma.f64 (neg.f64 (/.f64 (cbrt.f64 y) (hypot.f64 x y))) (/.f64 (pow.f64 (cbrt.f64 y) 2) 1) (*.f64 (/.f64 (cbrt.f64 y) (hypot.f64 x y)) (/.f64 (pow.f64 (cbrt.f64 y) 2) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 (hypot.f64 x y)) 2)) (/.f64 (cbrt.f64 x) (cbrt.f64 (hypot.f64 x y))) (neg.f64 (*.f64 (/.f64 (cbrt.f64 y) (hypot.f64 x y)) (/.f64 (pow.f64 (cbrt.f64 y) 2) 1)))) (fma.f64 (neg.f64 (/.f64 (cbrt.f64 y) (hypot.f64 x y))) (/.f64 (pow.f64 (cbrt.f64 y) 2) 1) (*.f64 (/.f64 (cbrt.f64 y) (hypot.f64 x y)) (/.f64 (pow.f64 (cbrt.f64 y) 2) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 (hypot.f64 x y)) 2)) (/.f64 (sqrt.f64 x) (cbrt.f64 (hypot.f64 x y))) (neg.f64 (*.f64 (/.f64 (cbrt.f64 y) (hypot.f64 x y)) (/.f64 (pow.f64 (cbrt.f64 y) 2) 1)))) (fma.f64 (neg.f64 (/.f64 (cbrt.f64 y) (hypot.f64 x y))) (/.f64 (pow.f64 (cbrt.f64 y) 2) 1) (*.f64 (/.f64 (cbrt.f64 y) (hypot.f64 x y)) (/.f64 (pow.f64 (cbrt.f64 y) 2) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (sqrt.f64 (hypot.f64 x y))) (/.f64 (cbrt.f64 x) (sqrt.f64 (hypot.f64 x y))) (neg.f64 (*.f64 (/.f64 (cbrt.f64 y) (hypot.f64 x y)) (/.f64 (pow.f64 (cbrt.f64 y) 2) 1)))) (fma.f64 (neg.f64 (/.f64 (cbrt.f64 y) (hypot.f64 x y))) (/.f64 (pow.f64 (cbrt.f64 y) 2) 1) (*.f64 (/.f64 (cbrt.f64 y) (hypot.f64 x y)) (/.f64 (pow.f64 (cbrt.f64 y) 2) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (/.f64 (sqrt.f64 x) (sqrt.f64 (hypot.f64 x y))) (/.f64 (sqrt.f64 x) (sqrt.f64 (hypot.f64 x y))) (neg.f64 (*.f64 (/.f64 (cbrt.f64 y) (hypot.f64 x y)) (/.f64 (pow.f64 (cbrt.f64 y) 2) 1)))) (fma.f64 (neg.f64 (/.f64 (cbrt.f64 y) (hypot.f64 x y))) (/.f64 (pow.f64 (cbrt.f64 y) 2) 1) (*.f64 (/.f64 (cbrt.f64 y) (hypot.f64 x y)) (/.f64 (pow.f64 (cbrt.f64 y) 2) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 x (/.f64 1 (hypot.f64 x y)) (neg.f64 (*.f64 (/.f64 (sqrt.f64 y) (hypot.f64 x y)) (/.f64 (sqrt.f64 y) 1)))) (fma.f64 (neg.f64 (/.f64 (sqrt.f64 y) (hypot.f64 x y))) (/.f64 (sqrt.f64 y) 1) (*.f64 (/.f64 (sqrt.f64 y) (hypot.f64 x y)) (/.f64 (sqrt.f64 y) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 1 (/.f64 x (hypot.f64 x y)) (neg.f64 (*.f64 (/.f64 (sqrt.f64 y) (hypot.f64 x y)) (/.f64 (sqrt.f64 y) 1)))) (fma.f64 (neg.f64 (/.f64 (sqrt.f64 y) (hypot.f64 x y))) (/.f64 (sqrt.f64 y) 1) (*.f64 (/.f64 (sqrt.f64 y) (hypot.f64 x y)) (/.f64 (sqrt.f64 y) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (*.f64 (cbrt.f64 (/.f64 x (hypot.f64 x y))) (cbrt.f64 (/.f64 x (hypot.f64 x y)))) (cbrt.f64 (/.f64 x (hypot.f64 x y))) (neg.f64 (*.f64 (/.f64 (sqrt.f64 y) (hypot.f64 x y)) (/.f64 (sqrt.f64 y) 1)))) (fma.f64 (neg.f64 (/.f64 (sqrt.f64 y) (hypot.f64 x y))) (/.f64 (sqrt.f64 y) 1) (*.f64 (/.f64 (sqrt.f64 y) (hypot.f64 x y)) (/.f64 (sqrt.f64 y) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (sqrt.f64 (/.f64 x (hypot.f64 x y))) (sqrt.f64 (/.f64 x (hypot.f64 x y))) (neg.f64 (*.f64 (/.f64 (sqrt.f64 y) (hypot.f64 x y)) (/.f64 (sqrt.f64 y) 1)))) (fma.f64 (neg.f64 (/.f64 (sqrt.f64 y) (hypot.f64 x y))) (/.f64 (sqrt.f64 y) 1) (*.f64 (/.f64 (sqrt.f64 y) (hypot.f64 x y)) (/.f64 (sqrt.f64 y) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (/.f64 1 (pow.f64 (cbrt.f64 (hypot.f64 x y)) 2)) (/.f64 x (cbrt.f64 (hypot.f64 x y))) (neg.f64 (*.f64 (/.f64 (sqrt.f64 y) (hypot.f64 x y)) (/.f64 (sqrt.f64 y) 1)))) (fma.f64 (neg.f64 (/.f64 (sqrt.f64 y) (hypot.f64 x y))) (/.f64 (sqrt.f64 y) 1) (*.f64 (/.f64 (sqrt.f64 y) (hypot.f64 x y)) (/.f64 (sqrt.f64 y) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (/.f64 1 (sqrt.f64 (hypot.f64 x y))) (/.f64 x (sqrt.f64 (hypot.f64 x y))) (neg.f64 (*.f64 (/.f64 (sqrt.f64 y) (hypot.f64 x y)) (/.f64 (sqrt.f64 y) 1)))) (fma.f64 (neg.f64 (/.f64 (sqrt.f64 y) (hypot.f64 x y))) (/.f64 (sqrt.f64 y) 1) (*.f64 (/.f64 (sqrt.f64 y) (hypot.f64 x y)) (/.f64 (sqrt.f64 y) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) 1) (/.f64 (cbrt.f64 x) (hypot.f64 x y)) (neg.f64 (*.f64 (/.f64 (sqrt.f64 y) (hypot.f64 x y)) (/.f64 (sqrt.f64 y) 1)))) (fma.f64 (neg.f64 (/.f64 (sqrt.f64 y) (hypot.f64 x y))) (/.f64 (sqrt.f64 y) 1) (*.f64 (/.f64 (sqrt.f64 y) (hypot.f64 x y)) (/.f64 (sqrt.f64 y) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (/.f64 (sqrt.f64 x) 1) (/.f64 (sqrt.f64 x) (hypot.f64 x y)) (neg.f64 (*.f64 (/.f64 (sqrt.f64 y) (hypot.f64 x y)) (/.f64 (sqrt.f64 y) 1)))) (fma.f64 (neg.f64 (/.f64 (sqrt.f64 y) (hypot.f64 x y))) (/.f64 (sqrt.f64 y) 1) (*.f64 (/.f64 (sqrt.f64 y) (hypot.f64 x y)) (/.f64 (sqrt.f64 y) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 (hypot.f64 x y)) 2)) (/.f64 (cbrt.f64 x) (cbrt.f64 (hypot.f64 x y))) (neg.f64 (*.f64 (/.f64 (sqrt.f64 y) (hypot.f64 x y)) (/.f64 (sqrt.f64 y) 1)))) (fma.f64 (neg.f64 (/.f64 (sqrt.f64 y) (hypot.f64 x y))) (/.f64 (sqrt.f64 y) 1) (*.f64 (/.f64 (sqrt.f64 y) (hypot.f64 x y)) (/.f64 (sqrt.f64 y) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 (hypot.f64 x y)) 2)) (/.f64 (sqrt.f64 x) (cbrt.f64 (hypot.f64 x y))) (neg.f64 (*.f64 (/.f64 (sqrt.f64 y) (hypot.f64 x y)) (/.f64 (sqrt.f64 y) 1)))) (fma.f64 (neg.f64 (/.f64 (sqrt.f64 y) (hypot.f64 x y))) (/.f64 (sqrt.f64 y) 1) (*.f64 (/.f64 (sqrt.f64 y) (hypot.f64 x y)) (/.f64 (sqrt.f64 y) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (sqrt.f64 (hypot.f64 x y))) (/.f64 (cbrt.f64 x) (sqrt.f64 (hypot.f64 x y))) (neg.f64 (*.f64 (/.f64 (sqrt.f64 y) (hypot.f64 x y)) (/.f64 (sqrt.f64 y) 1)))) (fma.f64 (neg.f64 (/.f64 (sqrt.f64 y) (hypot.f64 x y))) (/.f64 (sqrt.f64 y) 1) (*.f64 (/.f64 (sqrt.f64 y) (hypot.f64 x y)) (/.f64 (sqrt.f64 y) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (/.f64 (sqrt.f64 x) (sqrt.f64 (hypot.f64 x y))) (/.f64 (sqrt.f64 x) (sqrt.f64 (hypot.f64 x y))) (neg.f64 (*.f64 (/.f64 (sqrt.f64 y) (hypot.f64 x y)) (/.f64 (sqrt.f64 y) 1)))) (fma.f64 (neg.f64 (/.f64 (sqrt.f64 y) (hypot.f64 x y))) (/.f64 (sqrt.f64 y) 1) (*.f64 (/.f64 (sqrt.f64 y) (hypot.f64 x y)) (/.f64 (sqrt.f64 y) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 x (/.f64 1 (hypot.f64 x y)) (neg.f64 (*.f64 (/.f64 y (cbrt.f64 (hypot.f64 x y))) (/.f64 1 (pow.f64 (cbrt.f64 (hypot.f64 x y)) 2))))) (fma.f64 (neg.f64 (/.f64 y (cbrt.f64 (hypot.f64 x y)))) (/.f64 1 (pow.f64 (cbrt.f64 (hypot.f64 x y)) 2)) (*.f64 (/.f64 y (cbrt.f64 (hypot.f64 x y))) (/.f64 1 (pow.f64 (cbrt.f64 (hypot.f64 x y)) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 1 (/.f64 x (hypot.f64 x y)) (neg.f64 (*.f64 (/.f64 y (cbrt.f64 (hypot.f64 x y))) (/.f64 1 (pow.f64 (cbrt.f64 (hypot.f64 x y)) 2))))) (fma.f64 (neg.f64 (/.f64 y (cbrt.f64 (hypot.f64 x y)))) (/.f64 1 (pow.f64 (cbrt.f64 (hypot.f64 x y)) 2)) (*.f64 (/.f64 y (cbrt.f64 (hypot.f64 x y))) (/.f64 1 (pow.f64 (cbrt.f64 (hypot.f64 x y)) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (*.f64 (cbrt.f64 (/.f64 x (hypot.f64 x y))) (cbrt.f64 (/.f64 x (hypot.f64 x y)))) (cbrt.f64 (/.f64 x (hypot.f64 x y))) (neg.f64 (*.f64 (/.f64 y (cbrt.f64 (hypot.f64 x y))) (/.f64 1 (pow.f64 (cbrt.f64 (hypot.f64 x y)) 2))))) (fma.f64 (neg.f64 (/.f64 y (cbrt.f64 (hypot.f64 x y)))) (/.f64 1 (pow.f64 (cbrt.f64 (hypot.f64 x y)) 2)) (*.f64 (/.f64 y (cbrt.f64 (hypot.f64 x y))) (/.f64 1 (pow.f64 (cbrt.f64 (hypot.f64 x y)) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (sqrt.f64 (/.f64 x (hypot.f64 x y))) (sqrt.f64 (/.f64 x (hypot.f64 x y))) (neg.f64 (*.f64 (/.f64 y (cbrt.f64 (hypot.f64 x y))) (/.f64 1 (pow.f64 (cbrt.f64 (hypot.f64 x y)) 2))))) (fma.f64 (neg.f64 (/.f64 y (cbrt.f64 (hypot.f64 x y)))) (/.f64 1 (pow.f64 (cbrt.f64 (hypot.f64 x y)) 2)) (*.f64 (/.f64 y (cbrt.f64 (hypot.f64 x y))) (/.f64 1 (pow.f64 (cbrt.f64 (hypot.f64 x y)) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (/.f64 1 (pow.f64 (cbrt.f64 (hypot.f64 x y)) 2)) (/.f64 x (cbrt.f64 (hypot.f64 x y))) (neg.f64 (*.f64 (/.f64 y (cbrt.f64 (hypot.f64 x y))) (/.f64 1 (pow.f64 (cbrt.f64 (hypot.f64 x y)) 2))))) (fma.f64 (neg.f64 (/.f64 y (cbrt.f64 (hypot.f64 x y)))) (/.f64 1 (pow.f64 (cbrt.f64 (hypot.f64 x y)) 2)) (*.f64 (/.f64 y (cbrt.f64 (hypot.f64 x y))) (/.f64 1 (pow.f64 (cbrt.f64 (hypot.f64 x y)) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (/.f64 1 (sqrt.f64 (hypot.f64 x y))) (/.f64 x (sqrt.f64 (hypot.f64 x y))) (neg.f64 (*.f64 (/.f64 y (cbrt.f64 (hypot.f64 x y))) (/.f64 1 (pow.f64 (cbrt.f64 (hypot.f64 x y)) 2))))) (fma.f64 (neg.f64 (/.f64 y (cbrt.f64 (hypot.f64 x y)))) (/.f64 1 (pow.f64 (cbrt.f64 (hypot.f64 x y)) 2)) (*.f64 (/.f64 y (cbrt.f64 (hypot.f64 x y))) (/.f64 1 (pow.f64 (cbrt.f64 (hypot.f64 x y)) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) 1) (/.f64 (cbrt.f64 x) (hypot.f64 x y)) (neg.f64 (*.f64 (/.f64 y (cbrt.f64 (hypot.f64 x y))) (/.f64 1 (pow.f64 (cbrt.f64 (hypot.f64 x y)) 2))))) (fma.f64 (neg.f64 (/.f64 y (cbrt.f64 (hypot.f64 x y)))) (/.f64 1 (pow.f64 (cbrt.f64 (hypot.f64 x y)) 2)) (*.f64 (/.f64 y (cbrt.f64 (hypot.f64 x y))) (/.f64 1 (pow.f64 (cbrt.f64 (hypot.f64 x y)) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (/.f64 (sqrt.f64 x) 1) (/.f64 (sqrt.f64 x) (hypot.f64 x y)) (neg.f64 (*.f64 (/.f64 y (cbrt.f64 (hypot.f64 x y))) (/.f64 1 (pow.f64 (cbrt.f64 (hypot.f64 x y)) 2))))) (fma.f64 (neg.f64 (/.f64 y (cbrt.f64 (hypot.f64 x y)))) (/.f64 1 (pow.f64 (cbrt.f64 (hypot.f64 x y)) 2)) (*.f64 (/.f64 y (cbrt.f64 (hypot.f64 x y))) (/.f64 1 (pow.f64 (cbrt.f64 (hypot.f64 x y)) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 (hypot.f64 x y)) 2)) (/.f64 (cbrt.f64 x) (cbrt.f64 (hypot.f64 x y))) (neg.f64 (*.f64 (/.f64 y (cbrt.f64 (hypot.f64 x y))) (/.f64 1 (pow.f64 (cbrt.f64 (hypot.f64 x y)) 2))))) (fma.f64 (neg.f64 (/.f64 y (cbrt.f64 (hypot.f64 x y)))) (/.f64 1 (pow.f64 (cbrt.f64 (hypot.f64 x y)) 2)) (*.f64 (/.f64 y (cbrt.f64 (hypot.f64 x y))) (/.f64 1 (pow.f64 (cbrt.f64 (hypot.f64 x y)) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 (hypot.f64 x y)) 2)) (/.f64 (sqrt.f64 x) (cbrt.f64 (hypot.f64 x y))) (neg.f64 (*.f64 (/.f64 y (cbrt.f64 (hypot.f64 x y))) (/.f64 1 (pow.f64 (cbrt.f64 (hypot.f64 x y)) 2))))) (fma.f64 (neg.f64 (/.f64 y (cbrt.f64 (hypot.f64 x y)))) (/.f64 1 (pow.f64 (cbrt.f64 (hypot.f64 x y)) 2)) (*.f64 (/.f64 y (cbrt.f64 (hypot.f64 x y))) (/.f64 1 (pow.f64 (cbrt.f64 (hypot.f64 x y)) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (sqrt.f64 (hypot.f64 x y))) (/.f64 (cbrt.f64 x) (sqrt.f64 (hypot.f64 x y))) (neg.f64 (*.f64 (/.f64 y (cbrt.f64 (hypot.f64 x y))) (/.f64 1 (pow.f64 (cbrt.f64 (hypot.f64 x y)) 2))))) (fma.f64 (neg.f64 (/.f64 y (cbrt.f64 (hypot.f64 x y)))) (/.f64 1 (pow.f64 (cbrt.f64 (hypot.f64 x y)) 2)) (*.f64 (/.f64 y (cbrt.f64 (hypot.f64 x y))) (/.f64 1 (pow.f64 (cbrt.f64 (hypot.f64 x y)) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (/.f64 (sqrt.f64 x) (sqrt.f64 (hypot.f64 x y))) (/.f64 (sqrt.f64 x) (sqrt.f64 (hypot.f64 x y))) (neg.f64 (*.f64 (/.f64 y (cbrt.f64 (hypot.f64 x y))) (/.f64 1 (pow.f64 (cbrt.f64 (hypot.f64 x y)) 2))))) (fma.f64 (neg.f64 (/.f64 y (cbrt.f64 (hypot.f64 x y)))) (/.f64 1 (pow.f64 (cbrt.f64 (hypot.f64 x y)) 2)) (*.f64 (/.f64 y (cbrt.f64 (hypot.f64 x y))) (/.f64 1 (pow.f64 (cbrt.f64 (hypot.f64 x y)) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 x (/.f64 1 (hypot.f64 x y)) (neg.f64 (*.f64 (/.f64 (cbrt.f64 y) (cbrt.f64 (hypot.f64 x y))) (/.f64 (pow.f64 (cbrt.f64 y) 2) (pow.f64 (cbrt.f64 (hypot.f64 x y)) 2))))) (fma.f64 (neg.f64 (/.f64 (cbrt.f64 y) (cbrt.f64 (hypot.f64 x y)))) (/.f64 (pow.f64 (cbrt.f64 y) 2) (pow.f64 (cbrt.f64 (hypot.f64 x y)) 2)) (*.f64 (/.f64 (cbrt.f64 y) (cbrt.f64 (hypot.f64 x y))) (/.f64 (pow.f64 (cbrt.f64 y) 2) (pow.f64 (cbrt.f64 (hypot.f64 x y)) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 1 (/.f64 x (hypot.f64 x y)) (neg.f64 (*.f64 (/.f64 (cbrt.f64 y) (cbrt.f64 (hypot.f64 x y))) (/.f64 (pow.f64 (cbrt.f64 y) 2) (pow.f64 (cbrt.f64 (hypot.f64 x y)) 2))))) (fma.f64 (neg.f64 (/.f64 (cbrt.f64 y) (cbrt.f64 (hypot.f64 x y)))) (/.f64 (pow.f64 (cbrt.f64 y) 2) (pow.f64 (cbrt.f64 (hypot.f64 x y)) 2)) (*.f64 (/.f64 (cbrt.f64 y) (cbrt.f64 (hypot.f64 x y))) (/.f64 (pow.f64 (cbrt.f64 y) 2) (pow.f64 (cbrt.f64 (hypot.f64 x y)) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (*.f64 (cbrt.f64 (/.f64 x (hypot.f64 x y))) (cbrt.f64 (/.f64 x (hypot.f64 x y)))) (cbrt.f64 (/.f64 x (hypot.f64 x y))) (neg.f64 (*.f64 (/.f64 (cbrt.f64 y) (cbrt.f64 (hypot.f64 x y))) (/.f64 (pow.f64 (cbrt.f64 y) 2) (pow.f64 (cbrt.f64 (hypot.f64 x y)) 2))))) (fma.f64 (neg.f64 (/.f64 (cbrt.f64 y) (cbrt.f64 (hypot.f64 x y)))) (/.f64 (pow.f64 (cbrt.f64 y) 2) (pow.f64 (cbrt.f64 (hypot.f64 x y)) 2)) (*.f64 (/.f64 (cbrt.f64 y) (cbrt.f64 (hypot.f64 x y))) (/.f64 (pow.f64 (cbrt.f64 y) 2) (pow.f64 (cbrt.f64 (hypot.f64 x y)) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (sqrt.f64 (/.f64 x (hypot.f64 x y))) (sqrt.f64 (/.f64 x (hypot.f64 x y))) (neg.f64 (*.f64 (/.f64 (cbrt.f64 y) (cbrt.f64 (hypot.f64 x y))) (/.f64 (pow.f64 (cbrt.f64 y) 2) (pow.f64 (cbrt.f64 (hypot.f64 x y)) 2))))) (fma.f64 (neg.f64 (/.f64 (cbrt.f64 y) (cbrt.f64 (hypot.f64 x y)))) (/.f64 (pow.f64 (cbrt.f64 y) 2) (pow.f64 (cbrt.f64 (hypot.f64 x y)) 2)) (*.f64 (/.f64 (cbrt.f64 y) (cbrt.f64 (hypot.f64 x y))) (/.f64 (pow.f64 (cbrt.f64 y) 2) (pow.f64 (cbrt.f64 (hypot.f64 x y)) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (/.f64 1 (pow.f64 (cbrt.f64 (hypot.f64 x y)) 2)) (/.f64 x (cbrt.f64 (hypot.f64 x y))) (neg.f64 (*.f64 (/.f64 (cbrt.f64 y) (cbrt.f64 (hypot.f64 x y))) (/.f64 (pow.f64 (cbrt.f64 y) 2) (pow.f64 (cbrt.f64 (hypot.f64 x y)) 2))))) (fma.f64 (neg.f64 (/.f64 (cbrt.f64 y) (cbrt.f64 (hypot.f64 x y)))) (/.f64 (pow.f64 (cbrt.f64 y) 2) (pow.f64 (cbrt.f64 (hypot.f64 x y)) 2)) (*.f64 (/.f64 (cbrt.f64 y) (cbrt.f64 (hypot.f64 x y))) (/.f64 (pow.f64 (cbrt.f64 y) 2) (pow.f64 (cbrt.f64 (hypot.f64 x y)) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (/.f64 1 (sqrt.f64 (hypot.f64 x y))) (/.f64 x (sqrt.f64 (hypot.f64 x y))) (neg.f64 (*.f64 (/.f64 (cbrt.f64 y) (cbrt.f64 (hypot.f64 x y))) (/.f64 (pow.f64 (cbrt.f64 y) 2) (pow.f64 (cbrt.f64 (hypot.f64 x y)) 2))))) (fma.f64 (neg.f64 (/.f64 (cbrt.f64 y) (cbrt.f64 (hypot.f64 x y)))) (/.f64 (pow.f64 (cbrt.f64 y) 2) (pow.f64 (cbrt.f64 (hypot.f64 x y)) 2)) (*.f64 (/.f64 (cbrt.f64 y) (cbrt.f64 (hypot.f64 x y))) (/.f64 (pow.f64 (cbrt.f64 y) 2) (pow.f64 (cbrt.f64 (hypot.f64 x y)) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) 1) (/.f64 (cbrt.f64 x) (hypot.f64 x y)) (neg.f64 (*.f64 (/.f64 (cbrt.f64 y) (cbrt.f64 (hypot.f64 x y))) (/.f64 (pow.f64 (cbrt.f64 y) 2) (pow.f64 (cbrt.f64 (hypot.f64 x y)) 2))))) (fma.f64 (neg.f64 (/.f64 (cbrt.f64 y) (cbrt.f64 (hypot.f64 x y)))) (/.f64 (pow.f64 (cbrt.f64 y) 2) (pow.f64 (cbrt.f64 (hypot.f64 x y)) 2)) (*.f64 (/.f64 (cbrt.f64 y) (cbrt.f64 (hypot.f64 x y))) (/.f64 (pow.f64 (cbrt.f64 y) 2) (pow.f64 (cbrt.f64 (hypot.f64 x y)) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (/.f64 (sqrt.f64 x) 1) (/.f64 (sqrt.f64 x) (hypot.f64 x y)) (neg.f64 (*.f64 (/.f64 (cbrt.f64 y) (cbrt.f64 (hypot.f64 x y))) (/.f64 (pow.f64 (cbrt.f64 y) 2) (pow.f64 (cbrt.f64 (hypot.f64 x y)) 2))))) (fma.f64 (neg.f64 (/.f64 (cbrt.f64 y) (cbrt.f64 (hypot.f64 x y)))) (/.f64 (pow.f64 (cbrt.f64 y) 2) (pow.f64 (cbrt.f64 (hypot.f64 x y)) 2)) (*.f64 (/.f64 (cbrt.f64 y) (cbrt.f64 (hypot.f64 x y))) (/.f64 (pow.f64 (cbrt.f64 y) 2) (pow.f64 (cbrt.f64 (hypot.f64 x y)) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 (hypot.f64 x y)) 2)) (/.f64 (cbrt.f64 x) (cbrt.f64 (hypot.f64 x y))) (neg.f64 (*.f64 (/.f64 (cbrt.f64 y) (cbrt.f64 (hypot.f64 x y))) (/.f64 (pow.f64 (cbrt.f64 y) 2) (pow.f64 (cbrt.f64 (hypot.f64 x y)) 2))))) (fma.f64 (neg.f64 (/.f64 (cbrt.f64 y) (cbrt.f64 (hypot.f64 x y)))) (/.f64 (pow.f64 (cbrt.f64 y) 2) (pow.f64 (cbrt.f64 (hypot.f64 x y)) 2)) (*.f64 (/.f64 (cbrt.f64 y) (cbrt.f64 (hypot.f64 x y))) (/.f64 (pow.f64 (cbrt.f64 y) 2) (pow.f64 (cbrt.f64 (hypot.f64 x y)) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 (hypot.f64 x y)) 2)) (/.f64 (sqrt.f64 x) (cbrt.f64 (hypot.f64 x y))) (neg.f64 (*.f64 (/.f64 (cbrt.f64 y) (cbrt.f64 (hypot.f64 x y))) (/.f64 (pow.f64 (cbrt.f64 y) 2) (pow.f64 (cbrt.f64 (hypot.f64 x y)) 2))))) (fma.f64 (neg.f64 (/.f64 (cbrt.f64 y) (cbrt.f64 (hypot.f64 x y)))) (/.f64 (pow.f64 (cbrt.f64 y) 2) (pow.f64 (cbrt.f64 (hypot.f64 x y)) 2)) (*.f64 (/.f64 (cbrt.f64 y) (cbrt.f64 (hypot.f64 x y))) (/.f64 (pow.f64 (cbrt.f64 y) 2) (pow.f64 (cbrt.f64 (hypot.f64 x y)) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (sqrt.f64 (hypot.f64 x y))) (/.f64 (cbrt.f64 x) (sqrt.f64 (hypot.f64 x y))) (neg.f64 (*.f64 (/.f64 (cbrt.f64 y) (cbrt.f64 (hypot.f64 x y))) (/.f64 (pow.f64 (cbrt.f64 y) 2) (pow.f64 (cbrt.f64 (hypot.f64 x y)) 2))))) (fma.f64 (neg.f64 (/.f64 (cbrt.f64 y) (cbrt.f64 (hypot.f64 x y)))) (/.f64 (pow.f64 (cbrt.f64 y) 2) (pow.f64 (cbrt.f64 (hypot.f64 x y)) 2)) (*.f64 (/.f64 (cbrt.f64 y) (cbrt.f64 (hypot.f64 x y))) (/.f64 (pow.f64 (cbrt.f64 y) 2) (pow.f64 (cbrt.f64 (hypot.f64 x y)) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (/.f64 (sqrt.f64 x) (sqrt.f64 (hypot.f64 x y))) (/.f64 (sqrt.f64 x) (sqrt.f64 (hypot.f64 x y))) (neg.f64 (*.f64 (/.f64 (cbrt.f64 y) (cbrt.f64 (hypot.f64 x y))) (/.f64 (pow.f64 (cbrt.f64 y) 2) (pow.f64 (cbrt.f64 (hypot.f64 x y)) 2))))) (fma.f64 (neg.f64 (/.f64 (cbrt.f64 y) (cbrt.f64 (hypot.f64 x y)))) (/.f64 (pow.f64 (cbrt.f64 y) 2) (pow.f64 (cbrt.f64 (hypot.f64 x y)) 2)) (*.f64 (/.f64 (cbrt.f64 y) (cbrt.f64 (hypot.f64 x y))) (/.f64 (pow.f64 (cbrt.f64 y) 2) (pow.f64 (cbrt.f64 (hypot.f64 x y)) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 x (/.f64 1 (hypot.f64 x y)) (neg.f64 (*.f64 (/.f64 (sqrt.f64 y) (cbrt.f64 (hypot.f64 x y))) (/.f64 (sqrt.f64 y) (pow.f64 (cbrt.f64 (hypot.f64 x y)) 2))))) (fma.f64 (neg.f64 (/.f64 (sqrt.f64 y) (cbrt.f64 (hypot.f64 x y)))) (/.f64 (sqrt.f64 y) (pow.f64 (cbrt.f64 (hypot.f64 x y)) 2)) (*.f64 (/.f64 (sqrt.f64 y) (cbrt.f64 (hypot.f64 x y))) (/.f64 (sqrt.f64 y) (pow.f64 (cbrt.f64 (hypot.f64 x y)) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 1 (/.f64 x (hypot.f64 x y)) (neg.f64 (*.f64 (/.f64 (sqrt.f64 y) (cbrt.f64 (hypot.f64 x y))) (/.f64 (sqrt.f64 y) (pow.f64 (cbrt.f64 (hypot.f64 x y)) 2))))) (fma.f64 (neg.f64 (/.f64 (sqrt.f64 y) (cbrt.f64 (hypot.f64 x y)))) (/.f64 (sqrt.f64 y) (pow.f64 (cbrt.f64 (hypot.f64 x y)) 2)) (*.f64 (/.f64 (sqrt.f64 y) (cbrt.f64 (hypot.f64 x y))) (/.f64 (sqrt.f64 y) (pow.f64 (cbrt.f64 (hypot.f64 x y)) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (*.f64 (cbrt.f64 (/.f64 x (hypot.f64 x y))) (cbrt.f64 (/.f64 x (hypot.f64 x y)))) (cbrt.f64 (/.f64 x (hypot.f64 x y))) (neg.f64 (*.f64 (/.f64 (sqrt.f64 y) (cbrt.f64 (hypot.f64 x y))) (/.f64 (sqrt.f64 y) (pow.f64 (cbrt.f64 (hypot.f64 x y)) 2))))) (fma.f64 (neg.f64 (/.f64 (sqrt.f64 y) (cbrt.f64 (hypot.f64 x y)))) (/.f64 (sqrt.f64 y) (pow.f64 (cbrt.f64 (hypot.f64 x y)) 2)) (*.f64 (/.f64 (sqrt.f64 y) (cbrt.f64 (hypot.f64 x y))) (/.f64 (sqrt.f64 y) (pow.f64 (cbrt.f64 (hypot.f64 x y)) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (sqrt.f64 (/.f64 x (hypot.f64 x y))) (sqrt.f64 (/.f64 x (hypot.f64 x y))) (neg.f64 (*.f64 (/.f64 (sqrt.f64 y) (cbrt.f64 (hypot.f64 x y))) (/.f64 (sqrt.f64 y) (pow.f64 (cbrt.f64 (hypot.f64 x y)) 2))))) (fma.f64 (neg.f64 (/.f64 (sqrt.f64 y) (cbrt.f64 (hypot.f64 x y)))) (/.f64 (sqrt.f64 y) (pow.f64 (cbrt.f64 (hypot.f64 x y)) 2)) (*.f64 (/.f64 (sqrt.f64 y) (cbrt.f64 (hypot.f64 x y))) (/.f64 (sqrt.f64 y) (pow.f64 (cbrt.f64 (hypot.f64 x y)) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (/.f64 1 (pow.f64 (cbrt.f64 (hypot.f64 x y)) 2)) (/.f64 x (cbrt.f64 (hypot.f64 x y))) (neg.f64 (*.f64 (/.f64 (sqrt.f64 y) (cbrt.f64 (hypot.f64 x y))) (/.f64 (sqrt.f64 y) (pow.f64 (cbrt.f64 (hypot.f64 x y)) 2))))) (fma.f64 (neg.f64 (/.f64 (sqrt.f64 y) (cbrt.f64 (hypot.f64 x y)))) (/.f64 (sqrt.f64 y) (pow.f64 (cbrt.f64 (hypot.f64 x y)) 2)) (*.f64 (/.f64 (sqrt.f64 y) (cbrt.f64 (hypot.f64 x y))) (/.f64 (sqrt.f64 y) (pow.f64 (cbrt.f64 (hypot.f64 x y)) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (/.f64 1 (sqrt.f64 (hypot.f64 x y))) (/.f64 x (sqrt.f64 (hypot.f64 x y))) (neg.f64 (*.f64 (/.f64 (sqrt.f64 y) (cbrt.f64 (hypot.f64 x y))) (/.f64 (sqrt.f64 y) (pow.f64 (cbrt.f64 (hypot.f64 x y)) 2))))) (fma.f64 (neg.f64 (/.f64 (sqrt.f64 y) (cbrt.f64 (hypot.f64 x y)))) (/.f64 (sqrt.f64 y) (pow.f64 (cbrt.f64 (hypot.f64 x y)) 2)) (*.f64 (/.f64 (sqrt.f64 y) (cbrt.f64 (hypot.f64 x y))) (/.f64 (sqrt.f64 y) (pow.f64 (cbrt.f64 (hypot.f64 x y)) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) 1) (/.f64 (cbrt.f64 x) (hypot.f64 x y)) (neg.f64 (*.f64 (/.f64 (sqrt.f64 y) (cbrt.f64 (hypot.f64 x y))) (/.f64 (sqrt.f64 y) (pow.f64 (cbrt.f64 (hypot.f64 x y)) 2))))) (fma.f64 (neg.f64 (/.f64 (sqrt.f64 y) (cbrt.f64 (hypot.f64 x y)))) (/.f64 (sqrt.f64 y) (pow.f64 (cbrt.f64 (hypot.f64 x y)) 2)) (*.f64 (/.f64 (sqrt.f64 y) (cbrt.f64 (hypot.f64 x y))) (/.f64 (sqrt.f64 y) (pow.f64 (cbrt.f64 (hypot.f64 x y)) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (/.f64 (sqrt.f64 x) 1) (/.f64 (sqrt.f64 x) (hypot.f64 x y)) (neg.f64 (*.f64 (/.f64 (sqrt.f64 y) (cbrt.f64 (hypot.f64 x y))) (/.f64 (sqrt.f64 y) (pow.f64 (cbrt.f64 (hypot.f64 x y)) 2))))) (fma.f64 (neg.f64 (/.f64 (sqrt.f64 y) (cbrt.f64 (hypot.f64 x y)))) (/.f64 (sqrt.f64 y) (pow.f64 (cbrt.f64 (hypot.f64 x y)) 2)) (*.f64 (/.f64 (sqrt.f64 y) (cbrt.f64 (hypot.f64 x y))) (/.f64 (sqrt.f64 y) (pow.f64 (cbrt.f64 (hypot.f64 x y)) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 (hypot.f64 x y)) 2)) (/.f64 (cbrt.f64 x) (cbrt.f64 (hypot.f64 x y))) (neg.f64 (*.f64 (/.f64 (sqrt.f64 y) (cbrt.f64 (hypot.f64 x y))) (/.f64 (sqrt.f64 y) (pow.f64 (cbrt.f64 (hypot.f64 x y)) 2))))) (fma.f64 (neg.f64 (/.f64 (sqrt.f64 y) (cbrt.f64 (hypot.f64 x y)))) (/.f64 (sqrt.f64 y) (pow.f64 (cbrt.f64 (hypot.f64 x y)) 2)) (*.f64 (/.f64 (sqrt.f64 y) (cbrt.f64 (hypot.f64 x y))) (/.f64 (sqrt.f64 y) (pow.f64 (cbrt.f64 (hypot.f64 x y)) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 (hypot.f64 x y)) 2)) (/.f64 (sqrt.f64 x) (cbrt.f64 (hypot.f64 x y))) (neg.f64 (*.f64 (/.f64 (sqrt.f64 y) (cbrt.f64 (hypot.f64 x y))) (/.f64 (sqrt.f64 y) (pow.f64 (cbrt.f64 (hypot.f64 x y)) 2))))) (fma.f64 (neg.f64 (/.f64 (sqrt.f64 y) (cbrt.f64 (hypot.f64 x y)))) (/.f64 (sqrt.f64 y) (pow.f64 (cbrt.f64 (hypot.f64 x y)) 2)) (*.f64 (/.f64 (sqrt.f64 y) (cbrt.f64 (hypot.f64 x y))) (/.f64 (sqrt.f64 y) (pow.f64 (cbrt.f64 (hypot.f64 x y)) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (sqrt.f64 (hypot.f64 x y))) (/.f64 (cbrt.f64 x) (sqrt.f64 (hypot.f64 x y))) (neg.f64 (*.f64 (/.f64 (sqrt.f64 y) (cbrt.f64 (hypot.f64 x y))) (/.f64 (sqrt.f64 y) (pow.f64 (cbrt.f64 (hypot.f64 x y)) 2))))) (fma.f64 (neg.f64 (/.f64 (sqrt.f64 y) (cbrt.f64 (hypot.f64 x y)))) (/.f64 (sqrt.f64 y) (pow.f64 (cbrt.f64 (hypot.f64 x y)) 2)) (*.f64 (/.f64 (sqrt.f64 y) (cbrt.f64 (hypot.f64 x y))) (/.f64 (sqrt.f64 y) (pow.f64 (cbrt.f64 (hypot.f64 x y)) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (/.f64 (sqrt.f64 x) (sqrt.f64 (hypot.f64 x y))) (/.f64 (sqrt.f64 x) (sqrt.f64 (hypot.f64 x y))) (neg.f64 (*.f64 (/.f64 (sqrt.f64 y) (cbrt.f64 (hypot.f64 x y))) (/.f64 (sqrt.f64 y) (pow.f64 (cbrt.f64 (hypot.f64 x y)) 2))))) (fma.f64 (neg.f64 (/.f64 (sqrt.f64 y) (cbrt.f64 (hypot.f64 x y)))) (/.f64 (sqrt.f64 y) (pow.f64 (cbrt.f64 (hypot.f64 x y)) 2)) (*.f64 (/.f64 (sqrt.f64 y) (cbrt.f64 (hypot.f64 x y))) (/.f64 (sqrt.f64 y) (pow.f64 (cbrt.f64 (hypot.f64 x y)) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 x (/.f64 1 (hypot.f64 x y)) (neg.f64 (*.f64 (/.f64 y (sqrt.f64 (hypot.f64 x y))) (/.f64 1 (sqrt.f64 (hypot.f64 x y)))))) (fma.f64 (neg.f64 (/.f64 y (sqrt.f64 (hypot.f64 x y)))) (/.f64 1 (sqrt.f64 (hypot.f64 x y))) (*.f64 (/.f64 y (sqrt.f64 (hypot.f64 x y))) (/.f64 1 (sqrt.f64 (hypot.f64 x y))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 1 (/.f64 x (hypot.f64 x y)) (neg.f64 (*.f64 (/.f64 y (sqrt.f64 (hypot.f64 x y))) (/.f64 1 (sqrt.f64 (hypot.f64 x y)))))) (fma.f64 (neg.f64 (/.f64 y (sqrt.f64 (hypot.f64 x y)))) (/.f64 1 (sqrt.f64 (hypot.f64 x y))) (*.f64 (/.f64 y (sqrt.f64 (hypot.f64 x y))) (/.f64 1 (sqrt.f64 (hypot.f64 x y))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (*.f64 (cbrt.f64 (/.f64 x (hypot.f64 x y))) (cbrt.f64 (/.f64 x (hypot.f64 x y)))) (cbrt.f64 (/.f64 x (hypot.f64 x y))) (neg.f64 (*.f64 (/.f64 y (sqrt.f64 (hypot.f64 x y))) (/.f64 1 (sqrt.f64 (hypot.f64 x y)))))) (fma.f64 (neg.f64 (/.f64 y (sqrt.f64 (hypot.f64 x y)))) (/.f64 1 (sqrt.f64 (hypot.f64 x y))) (*.f64 (/.f64 y (sqrt.f64 (hypot.f64 x y))) (/.f64 1 (sqrt.f64 (hypot.f64 x y))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (sqrt.f64 (/.f64 x (hypot.f64 x y))) (sqrt.f64 (/.f64 x (hypot.f64 x y))) (neg.f64 (*.f64 (/.f64 y (sqrt.f64 (hypot.f64 x y))) (/.f64 1 (sqrt.f64 (hypot.f64 x y)))))) (fma.f64 (neg.f64 (/.f64 y (sqrt.f64 (hypot.f64 x y)))) (/.f64 1 (sqrt.f64 (hypot.f64 x y))) (*.f64 (/.f64 y (sqrt.f64 (hypot.f64 x y))) (/.f64 1 (sqrt.f64 (hypot.f64 x y))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (/.f64 1 (pow.f64 (cbrt.f64 (hypot.f64 x y)) 2)) (/.f64 x (cbrt.f64 (hypot.f64 x y))) (neg.f64 (*.f64 (/.f64 y (sqrt.f64 (hypot.f64 x y))) (/.f64 1 (sqrt.f64 (hypot.f64 x y)))))) (fma.f64 (neg.f64 (/.f64 y (sqrt.f64 (hypot.f64 x y)))) (/.f64 1 (sqrt.f64 (hypot.f64 x y))) (*.f64 (/.f64 y (sqrt.f64 (hypot.f64 x y))) (/.f64 1 (sqrt.f64 (hypot.f64 x y))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (/.f64 1 (sqrt.f64 (hypot.f64 x y))) (/.f64 x (sqrt.f64 (hypot.f64 x y))) (neg.f64 (*.f64 (/.f64 y (sqrt.f64 (hypot.f64 x y))) (/.f64 1 (sqrt.f64 (hypot.f64 x y)))))) (fma.f64 (neg.f64 (/.f64 y (sqrt.f64 (hypot.f64 x y)))) (/.f64 1 (sqrt.f64 (hypot.f64 x y))) (*.f64 (/.f64 y (sqrt.f64 (hypot.f64 x y))) (/.f64 1 (sqrt.f64 (hypot.f64 x y))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) 1) (/.f64 (cbrt.f64 x) (hypot.f64 x y)) (neg.f64 (*.f64 (/.f64 y (sqrt.f64 (hypot.f64 x y))) (/.f64 1 (sqrt.f64 (hypot.f64 x y)))))) (fma.f64 (neg.f64 (/.f64 y (sqrt.f64 (hypot.f64 x y)))) (/.f64 1 (sqrt.f64 (hypot.f64 x y))) (*.f64 (/.f64 y (sqrt.f64 (hypot.f64 x y))) (/.f64 1 (sqrt.f64 (hypot.f64 x y))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (/.f64 (sqrt.f64 x) 1) (/.f64 (sqrt.f64 x) (hypot.f64 x y)) (neg.f64 (*.f64 (/.f64 y (sqrt.f64 (hypot.f64 x y))) (/.f64 1 (sqrt.f64 (hypot.f64 x y)))))) (fma.f64 (neg.f64 (/.f64 y (sqrt.f64 (hypot.f64 x y)))) (/.f64 1 (sqrt.f64 (hypot.f64 x y))) (*.f64 (/.f64 y (sqrt.f64 (hypot.f64 x y))) (/.f64 1 (sqrt.f64 (hypot.f64 x y))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 (hypot.f64 x y)) 2)) (/.f64 (cbrt.f64 x) (cbrt.f64 (hypot.f64 x y))) (neg.f64 (*.f64 (/.f64 y (sqrt.f64 (hypot.f64 x y))) (/.f64 1 (sqrt.f64 (hypot.f64 x y)))))) (fma.f64 (neg.f64 (/.f64 y (sqrt.f64 (hypot.f64 x y)))) (/.f64 1 (sqrt.f64 (hypot.f64 x y))) (*.f64 (/.f64 y (sqrt.f64 (hypot.f64 x y))) (/.f64 1 (sqrt.f64 (hypot.f64 x y))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 (hypot.f64 x y)) 2)) (/.f64 (sqrt.f64 x) (cbrt.f64 (hypot.f64 x y))) (neg.f64 (*.f64 (/.f64 y (sqrt.f64 (hypot.f64 x y))) (/.f64 1 (sqrt.f64 (hypot.f64 x y)))))) (fma.f64 (neg.f64 (/.f64 y (sqrt.f64 (hypot.f64 x y)))) (/.f64 1 (sqrt.f64 (hypot.f64 x y))) (*.f64 (/.f64 y (sqrt.f64 (hypot.f64 x y))) (/.f64 1 (sqrt.f64 (hypot.f64 x y))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (sqrt.f64 (hypot.f64 x y))) (/.f64 (cbrt.f64 x) (sqrt.f64 (hypot.f64 x y))) (neg.f64 (*.f64 (/.f64 y (sqrt.f64 (hypot.f64 x y))) (/.f64 1 (sqrt.f64 (hypot.f64 x y)))))) (fma.f64 (neg.f64 (/.f64 y (sqrt.f64 (hypot.f64 x y)))) (/.f64 1 (sqrt.f64 (hypot.f64 x y))) (*.f64 (/.f64 y (sqrt.f64 (hypot.f64 x y))) (/.f64 1 (sqrt.f64 (hypot.f64 x y))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (/.f64 (sqrt.f64 x) (sqrt.f64 (hypot.f64 x y))) (/.f64 (sqrt.f64 x) (sqrt.f64 (hypot.f64 x y))) (neg.f64 (*.f64 (/.f64 y (sqrt.f64 (hypot.f64 x y))) (/.f64 1 (sqrt.f64 (hypot.f64 x y)))))) (fma.f64 (neg.f64 (/.f64 y (sqrt.f64 (hypot.f64 x y)))) (/.f64 1 (sqrt.f64 (hypot.f64 x y))) (*.f64 (/.f64 y (sqrt.f64 (hypot.f64 x y))) (/.f64 1 (sqrt.f64 (hypot.f64 x y))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 x (/.f64 1 (hypot.f64 x y)) (neg.f64 (*.f64 (/.f64 (cbrt.f64 y) (sqrt.f64 (hypot.f64 x y))) (/.f64 (pow.f64 (cbrt.f64 y) 2) (sqrt.f64 (hypot.f64 x y)))))) (fma.f64 (neg.f64 (/.f64 (cbrt.f64 y) (sqrt.f64 (hypot.f64 x y)))) (/.f64 (pow.f64 (cbrt.f64 y) 2) (sqrt.f64 (hypot.f64 x y))) (*.f64 (/.f64 (cbrt.f64 y) (sqrt.f64 (hypot.f64 x y))) (/.f64 (pow.f64 (cbrt.f64 y) 2) (sqrt.f64 (hypot.f64 x y))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 1 (/.f64 x (hypot.f64 x y)) (neg.f64 (*.f64 (/.f64 (cbrt.f64 y) (sqrt.f64 (hypot.f64 x y))) (/.f64 (pow.f64 (cbrt.f64 y) 2) (sqrt.f64 (hypot.f64 x y)))))) (fma.f64 (neg.f64 (/.f64 (cbrt.f64 y) (sqrt.f64 (hypot.f64 x y)))) (/.f64 (pow.f64 (cbrt.f64 y) 2) (sqrt.f64 (hypot.f64 x y))) (*.f64 (/.f64 (cbrt.f64 y) (sqrt.f64 (hypot.f64 x y))) (/.f64 (pow.f64 (cbrt.f64 y) 2) (sqrt.f64 (hypot.f64 x y))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (*.f64 (cbrt.f64 (/.f64 x (hypot.f64 x y))) (cbrt.f64 (/.f64 x (hypot.f64 x y)))) (cbrt.f64 (/.f64 x (hypot.f64 x y))) (neg.f64 (*.f64 (/.f64 (cbrt.f64 y) (sqrt.f64 (hypot.f64 x y))) (/.f64 (pow.f64 (cbrt.f64 y) 2) (sqrt.f64 (hypot.f64 x y)))))) (fma.f64 (neg.f64 (/.f64 (cbrt.f64 y) (sqrt.f64 (hypot.f64 x y)))) (/.f64 (pow.f64 (cbrt.f64 y) 2) (sqrt.f64 (hypot.f64 x y))) (*.f64 (/.f64 (cbrt.f64 y) (sqrt.f64 (hypot.f64 x y))) (/.f64 (pow.f64 (cbrt.f64 y) 2) (sqrt.f64 (hypot.f64 x y))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (sqrt.f64 (/.f64 x (hypot.f64 x y))) (sqrt.f64 (/.f64 x (hypot.f64 x y))) (neg.f64 (*.f64 (/.f64 (cbrt.f64 y) (sqrt.f64 (hypot.f64 x y))) (/.f64 (pow.f64 (cbrt.f64 y) 2) (sqrt.f64 (hypot.f64 x y)))))) (fma.f64 (neg.f64 (/.f64 (cbrt.f64 y) (sqrt.f64 (hypot.f64 x y)))) (/.f64 (pow.f64 (cbrt.f64 y) 2) (sqrt.f64 (hypot.f64 x y))) (*.f64 (/.f64 (cbrt.f64 y) (sqrt.f64 (hypot.f64 x y))) (/.f64 (pow.f64 (cbrt.f64 y) 2) (sqrt.f64 (hypot.f64 x y))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (/.f64 1 (pow.f64 (cbrt.f64 (hypot.f64 x y)) 2)) (/.f64 x (cbrt.f64 (hypot.f64 x y))) (neg.f64 (*.f64 (/.f64 (cbrt.f64 y) (sqrt.f64 (hypot.f64 x y))) (/.f64 (pow.f64 (cbrt.f64 y) 2) (sqrt.f64 (hypot.f64 x y)))))) (fma.f64 (neg.f64 (/.f64 (cbrt.f64 y) (sqrt.f64 (hypot.f64 x y)))) (/.f64 (pow.f64 (cbrt.f64 y) 2) (sqrt.f64 (hypot.f64 x y))) (*.f64 (/.f64 (cbrt.f64 y) (sqrt.f64 (hypot.f64 x y))) (/.f64 (pow.f64 (cbrt.f64 y) 2) (sqrt.f64 (hypot.f64 x y))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (/.f64 1 (sqrt.f64 (hypot.f64 x y))) (/.f64 x (sqrt.f64 (hypot.f64 x y))) (neg.f64 (*.f64 (/.f64 (cbrt.f64 y) (sqrt.f64 (hypot.f64 x y))) (/.f64 (pow.f64 (cbrt.f64 y) 2) (sqrt.f64 (hypot.f64 x y)))))) (fma.f64 (neg.f64 (/.f64 (cbrt.f64 y) (sqrt.f64 (hypot.f64 x y)))) (/.f64 (pow.f64 (cbrt.f64 y) 2) (sqrt.f64 (hypot.f64 x y))) (*.f64 (/.f64 (cbrt.f64 y) (sqrt.f64 (hypot.f64 x y))) (/.f64 (pow.f64 (cbrt.f64 y) 2) (sqrt.f64 (hypot.f64 x y))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) 1) (/.f64 (cbrt.f64 x) (hypot.f64 x y)) (neg.f64 (*.f64 (/.f64 (cbrt.f64 y) (sqrt.f64 (hypot.f64 x y))) (/.f64 (pow.f64 (cbrt.f64 y) 2) (sqrt.f64 (hypot.f64 x y)))))) (fma.f64 (neg.f64 (/.f64 (cbrt.f64 y) (sqrt.f64 (hypot.f64 x y)))) (/.f64 (pow.f64 (cbrt.f64 y) 2) (sqrt.f64 (hypot.f64 x y))) (*.f64 (/.f64 (cbrt.f64 y) (sqrt.f64 (hypot.f64 x y))) (/.f64 (pow.f64 (cbrt.f64 y) 2) (sqrt.f64 (hypot.f64 x y))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (/.f64 (sqrt.f64 x) 1) (/.f64 (sqrt.f64 x) (hypot.f64 x y)) (neg.f64 (*.f64 (/.f64 (cbrt.f64 y) (sqrt.f64 (hypot.f64 x y))) (/.f64 (pow.f64 (cbrt.f64 y) 2) (sqrt.f64 (hypot.f64 x y)))))) (fma.f64 (neg.f64 (/.f64 (cbrt.f64 y) (sqrt.f64 (hypot.f64 x y)))) (/.f64 (pow.f64 (cbrt.f64 y) 2) (sqrt.f64 (hypot.f64 x y))) (*.f64 (/.f64 (cbrt.f64 y) (sqrt.f64 (hypot.f64 x y))) (/.f64 (pow.f64 (cbrt.f64 y) 2) (sqrt.f64 (hypot.f64 x y))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 (hypot.f64 x y)) 2)) (/.f64 (cbrt.f64 x) (cbrt.f64 (hypot.f64 x y))) (neg.f64 (*.f64 (/.f64 (cbrt.f64 y) (sqrt.f64 (hypot.f64 x y))) (/.f64 (pow.f64 (cbrt.f64 y) 2) (sqrt.f64 (hypot.f64 x y)))))) (fma.f64 (neg.f64 (/.f64 (cbrt.f64 y) (sqrt.f64 (hypot.f64 x y)))) (/.f64 (pow.f64 (cbrt.f64 y) 2) (sqrt.f64 (hypot.f64 x y))) (*.f64 (/.f64 (cbrt.f64 y) (sqrt.f64 (hypot.f64 x y))) (/.f64 (pow.f64 (cbrt.f64 y) 2) (sqrt.f64 (hypot.f64 x y))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 (hypot.f64 x y)) 2)) (/.f64 (sqrt.f64 x) (cbrt.f64 (hypot.f64 x y))) (neg.f64 (*.f64 (/.f64 (cbrt.f64 y) (sqrt.f64 (hypot.f64 x y))) (/.f64 (pow.f64 (cbrt.f64 y) 2) (sqrt.f64 (hypot.f64 x y)))))) (fma.f64 (neg.f64 (/.f64 (cbrt.f64 y) (sqrt.f64 (hypot.f64 x y)))) (/.f64 (pow.f64 (cbrt.f64 y) 2) (sqrt.f64 (hypot.f64 x y))) (*.f64 (/.f64 (cbrt.f64 y) (sqrt.f64 (hypot.f64 x y))) (/.f64 (pow.f64 (cbrt.f64 y) 2) (sqrt.f64 (hypot.f64 x y))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (sqrt.f64 (hypot.f64 x y))) (/.f64 (cbrt.f64 x) (sqrt.f64 (hypot.f64 x y))) (neg.f64 (*.f64 (/.f64 (cbrt.f64 y) (sqrt.f64 (hypot.f64 x y))) (/.f64 (pow.f64 (cbrt.f64 y) 2) (sqrt.f64 (hypot.f64 x y)))))) (fma.f64 (neg.f64 (/.f64 (cbrt.f64 y) (sqrt.f64 (hypot.f64 x y)))) (/.f64 (pow.f64 (cbrt.f64 y) 2) (sqrt.f64 (hypot.f64 x y))) (*.f64 (/.f64 (cbrt.f64 y) (sqrt.f64 (hypot.f64 x y))) (/.f64 (pow.f64 (cbrt.f64 y) 2) (sqrt.f64 (hypot.f64 x y))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (/.f64 (sqrt.f64 x) (sqrt.f64 (hypot.f64 x y))) (/.f64 (sqrt.f64 x) (sqrt.f64 (hypot.f64 x y))) (neg.f64 (*.f64 (/.f64 (cbrt.f64 y) (sqrt.f64 (hypot.f64 x y))) (/.f64 (pow.f64 (cbrt.f64 y) 2) (sqrt.f64 (hypot.f64 x y)))))) (fma.f64 (neg.f64 (/.f64 (cbrt.f64 y) (sqrt.f64 (hypot.f64 x y)))) (/.f64 (pow.f64 (cbrt.f64 y) 2) (sqrt.f64 (hypot.f64 x y))) (*.f64 (/.f64 (cbrt.f64 y) (sqrt.f64 (hypot.f64 x y))) (/.f64 (pow.f64 (cbrt.f64 y) 2) (sqrt.f64 (hypot.f64 x y))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (/.f64 (-.f64 x y) (hypot.f64 x y)))) (cbrt.f64 (exp.f64 (/.f64 (-.f64 x y) (hypot.f64 x y)))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (-.f64 x y) (hypot.f64 x y))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (-.f64 x y) (hypot.f64 x y))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (-.f64 x y) (hypot.f64 x y))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 x (hypot.f64 x y)) (/.f64 y (hypot.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (-.f64 x y) (hypot.f64 x y)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 x y) (/.f64 1 (hypot.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (-.f64 x y) (hypot.f64 x y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (-.f64 x y) (hypot.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (-.f64 x y) (hypot.f64 x y))) (pow.f64 (cbrt.f64 (/.f64 (-.f64 x y) (hypot.f64 x y))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 x y) (hypot.f64 x y))) 2) (cbrt.f64 (/.f64 (-.f64 x y) (hypot.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (-.f64 x y) 2)) (*.f64 (cbrt.f64 (-.f64 x y)) (/.f64 1 (hypot.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (-.f64 x y) (hypot.f64 x y))) (sqrt.f64 (/.f64 (-.f64 x y) (hypot.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (-.f64 x y)) (*.f64 (sqrt.f64 (-.f64 x y)) (/.f64 1 (hypot.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (-.f64 x y)) (/.f64 1 (neg.f64 (hypot.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (hypot.f64 x y)) (-.f64 x y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 (hypot.f64 x y)) 2)) (/.f64 (-.f64 x y) (cbrt.f64 (hypot.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 (hypot.f64 x y))) (/.f64 (-.f64 x y) (sqrt.f64 (hypot.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (pow.f64 (-.f64 x y) 2)) 1) (/.f64 (cbrt.f64 (-.f64 x y)) (hypot.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (-.f64 x y)) 1) (/.f64 (sqrt.f64 (-.f64 x y)) (hypot.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (pow.f64 (-.f64 x y) 2)) (pow.f64 (cbrt.f64 (hypot.f64 x y)) 2)) (cbrt.f64 (/.f64 (-.f64 x y) (hypot.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (-.f64 x y)) (pow.f64 (cbrt.f64 (hypot.f64 x y)) 2)) (/.f64 (sqrt.f64 (-.f64 x y)) (cbrt.f64 (hypot.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (pow.f64 (-.f64 x y) 2)) (sqrt.f64 (hypot.f64 x y))) (/.f64 (cbrt.f64 (-.f64 x y)) (sqrt.f64 (hypot.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (-.f64 x y) (hypot.f64 x y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (-.f64 x y) (hypot.f64 x y)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (-.f64 x y) (hypot.f64 x y))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (-.f64 x y) (hypot.f64 x y))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (hypot.f64 x y) (-.f64 x y)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (-.f64 x y) (neg.f64 (hypot.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (-.f64 x y) (hypot.f64 x y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (-.f64 x y) (hypot.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (-.f64 x y) (hypot.f64 x y)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (-.f64 x y) (hypot.f64 x y)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (-.f64 x y) 3) (pow.f64 (hypot.f64 x y) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x (/.f64 1 (hypot.f64 x y)) (neg.f64 (/.f64 y (hypot.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (/.f64 x (hypot.f64 x y)) (neg.f64 (/.f64 y (hypot.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (cbrt.f64 (/.f64 x (hypot.f64 x y))) (cbrt.f64 (/.f64 x (hypot.f64 x y)))) (cbrt.f64 (/.f64 x (hypot.f64 x y))) (neg.f64 (/.f64 y (hypot.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (/.f64 x (hypot.f64 x y))) (sqrt.f64 (/.f64 x (hypot.f64 x y))) (neg.f64 (/.f64 y (hypot.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1 (pow.f64 (cbrt.f64 (hypot.f64 x y)) 2)) (/.f64 x (cbrt.f64 (hypot.f64 x y))) (neg.f64 (/.f64 y (hypot.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1 (sqrt.f64 (hypot.f64 x y))) (/.f64 x (sqrt.f64 (hypot.f64 x y))) (neg.f64 (/.f64 y (hypot.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) 1) (/.f64 (cbrt.f64 x) (hypot.f64 x y)) (neg.f64 (/.f64 y (hypot.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (sqrt.f64 x) 1) (/.f64 (sqrt.f64 x) (hypot.f64 x y)) (neg.f64 (/.f64 y (hypot.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 (hypot.f64 x y)) 2)) (/.f64 (cbrt.f64 x) (cbrt.f64 (hypot.f64 x y))) (neg.f64 (/.f64 y (hypot.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 (hypot.f64 x y)) 2)) (/.f64 (sqrt.f64 x) (cbrt.f64 (hypot.f64 x y))) (neg.f64 (/.f64 y (hypot.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (sqrt.f64 (hypot.f64 x y))) (/.f64 (cbrt.f64 x) (sqrt.f64 (hypot.f64 x y))) (neg.f64 (/.f64 y (hypot.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (sqrt.f64 x) (sqrt.f64 (hypot.f64 x y))) (/.f64 (sqrt.f64 x) (sqrt.f64 (hypot.f64 x y))) (neg.f64 (/.f64 y (hypot.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (-.f64 x y) (hypot.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (-.f64 x y) (hypot.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 (-.f64 x y) (hypot.f64 x y))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (-.f64 x y) (hypot.f64 x y))))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 (+.f64 x y) (/.f64 (pow.f64 (hypot.f64 x y) 2) (-.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (/.f64 (+.f64 x y) (/.f64 (pow.f64 (hypot.f64 x y) 2) (-.f64 x y))))) (cbrt.f64 (exp.f64 (/.f64 (+.f64 x y) (/.f64 (pow.f64 (hypot.f64 x y) 2) (-.f64 x y))))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (+.f64 x y) (/.f64 (pow.f64 (hypot.f64 x y) 2) (-.f64 x y)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (+.f64 x y) (/.f64 (pow.f64 (hypot.f64 x y) 2) (-.f64 x y)))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (+.f64 x y) (/.f64 (pow.f64 (hypot.f64 x y) 2) (-.f64 x y)))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (+.f64 x y) (/.f64 (pow.f64 (hypot.f64 x y) 2) (-.f64 x y))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 x y) (*.f64 (hypot.f64 x y) (/.f64 (hypot.f64 x y) (+.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 x y) (*.f64 (/.f64 (hypot.f64 x y) (+.f64 x y)) (hypot.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (-.f64 x y) (hypot.f64 x y)) (/.f64 (hypot.f64 x y) (+.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 x y) (*.f64 (/.f64 (hypot.f64 x y) (-.f64 x y)) (hypot.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 x y) (*.f64 (hypot.f64 x y) (/.f64 (hypot.f64 x y) (-.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 x y) (/.f64 (pow.f64 (hypot.f64 x y) 2) (-.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 x y) (/.f64 (hypot.f64 x y) (/.f64 (-.f64 x y) (hypot.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (+.f64 x y) (hypot.f64 x y)) (/.f64 (hypot.f64 x y) (-.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (*.f64 (/.f64 (hypot.f64 x y) (-.f64 x y)) (/.f64 (hypot.f64 x y) (+.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (*.f64 (/.f64 (hypot.f64 x y) (+.f64 x y)) (/.f64 (hypot.f64 x y) (-.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (pow.f64 (hypot.f64 x y) 2) (-.f64 (*.f64 x x) (*.f64 y y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (hypot.f64 x y) (/.f64 (-.f64 (*.f64 x x) (*.f64 y y)) (hypot.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 x y)) (*.f64 (/.f64 (hypot.f64 x y) (+.f64 x y)) (neg.f64 (hypot.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 x y)) (*.f64 (/.f64 (hypot.f64 x y) (-.f64 x y)) (neg.f64 (hypot.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 x x) (*.f64 y y)) (pow.f64 (hypot.f64 x y) 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (-.f64 (*.f64 x x) (*.f64 y y)) (hypot.f64 x y)) (hypot.f64 x y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (*.f64 x x) (*.f64 y y))) (neg.f64 (pow.f64 (hypot.f64 x y) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (/.f64 (-.f64 (*.f64 x x) (*.f64 y y)) (hypot.f64 x y))) (neg.f64 (hypot.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 (-.f64 x y)) (+.f64 x y)) (*.f64 (neg.f64 (hypot.f64 x y)) (hypot.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 (-.f64 x y)) 1) (*.f64 (neg.f64 (hypot.f64 x y)) (/.f64 (hypot.f64 x y) (+.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 x y) (neg.f64 (+.f64 x y))) (*.f64 (hypot.f64 x y) (neg.f64 (hypot.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 (-.f64 x y)) (neg.f64 (+.f64 x y))) (*.f64 (neg.f64 (hypot.f64 x y)) (neg.f64 (hypot.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 (+.f64 x y)) (-.f64 x y)) (*.f64 (neg.f64 (hypot.f64 x y)) (hypot.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 (+.f64 x y)) 1) (*.f64 (neg.f64 (hypot.f64 x y)) (/.f64 (hypot.f64 x y) (-.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 x y) (neg.f64 (-.f64 x y))) (*.f64 (hypot.f64 x y) (neg.f64 (hypot.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 (+.f64 x y)) (neg.f64 (-.f64 x y))) (*.f64 (neg.f64 (hypot.f64 x y)) (neg.f64 (hypot.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (/.f64 (-.f64 (*.f64 x x) (*.f64 y y)) (hypot.f64 x y)) 1) (hypot.f64 x y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (/.f64 (-.f64 (*.f64 x x) (*.f64 y y)) (hypot.f64 x y)) (pow.f64 (cbrt.f64 (hypot.f64 x y)) 2)) (cbrt.f64 (hypot.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (/.f64 (-.f64 (*.f64 x x) (*.f64 y y)) (hypot.f64 x y)) (sqrt.f64 (hypot.f64 x y))) (sqrt.f64 (hypot.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 (-.f64 x y)) (/.f64 (+.f64 x y) (hypot.f64 x y))) (neg.f64 (hypot.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 (+.f64 x y)) (/.f64 (-.f64 x y) (hypot.f64 x y))) (neg.f64 (hypot.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 (-.f64 x y) (hypot.f64 x y)) (neg.f64 (+.f64 x y))) (neg.f64 (hypot.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 (+.f64 x y) (hypot.f64 x y)) (neg.f64 (-.f64 x y))) (neg.f64 (hypot.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (+.f64 x y) (/.f64 (pow.f64 (hypot.f64 x y) 2) (-.f64 x y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (+.f64 x y) (/.f64 (pow.f64 (hypot.f64 x y) 2) (-.f64 x y))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (+.f64 x y) (/.f64 (pow.f64 (hypot.f64 x y) 2) (-.f64 x y)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (sqrt.f64 (-.f64 (*.f64 x x) (*.f64 y y))) (hypot.f64 x y)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (+.f64 x y) (/.f64 (pow.f64 (hypot.f64 x y) 2) (-.f64 x y))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (+.f64 x y) (/.f64 (pow.f64 (hypot.f64 x y) 2) (-.f64 x y)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (+.f64 x y) (/.f64 (pow.f64 (hypot.f64 x y) 2) (-.f64 x y))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (+.f64 x y) (/.f64 (pow.f64 (hypot.f64 x y) 2) (-.f64 x y))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (/.f64 (-.f64 x y) (hypot.f64 x y)) 3) (pow.f64 (/.f64 (+.f64 x y) (hypot.f64 x y)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (/.f64 (+.f64 x y) (hypot.f64 x y)) 3) (pow.f64 (/.f64 (-.f64 x y) (hypot.f64 x y)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (+.f64 x y) (/.f64 (pow.f64 (hypot.f64 x y) 2) (-.f64 x y)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (+.f64 x y) (/.f64 (pow.f64 (hypot.f64 x y) 2) (-.f64 x y)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 (+.f64 x y) (/.f64 (pow.f64 (hypot.f64 x y) 2) (-.f64 x y)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (+.f64 x y) (/.f64 (pow.f64 (hypot.f64 x y) 2) (-.f64 x y)))))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 (+.f64 x y) (hypot.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (/.f64 (+.f64 x y) (hypot.f64 x y)))) (cbrt.f64 (exp.f64 (/.f64 (+.f64 x y) (hypot.f64 x y)))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (+.f64 x y) (hypot.f64 x y))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (+.f64 x y) (hypot.f64 x y))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (+.f64 x y) (hypot.f64 x y))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (+.f64 x y) (hypot.f64 x y)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 x y) (/.f64 1 (hypot.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 x y) (hypot.f64 x y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (+.f64 x y) (hypot.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (+.f64 x y) (hypot.f64 x y))) (pow.f64 (cbrt.f64 (/.f64 (+.f64 x y) (hypot.f64 x y))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 x y) (hypot.f64 x y))) 2) (cbrt.f64 (/.f64 (+.f64 x y) (hypot.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (+.f64 x y) 2)) (*.f64 (cbrt.f64 (+.f64 x y)) (/.f64 1 (hypot.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (+.f64 x y) (hypot.f64 x y))) (sqrt.f64 (/.f64 (+.f64 x y) (hypot.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 x y)) (*.f64 (sqrt.f64 (+.f64 x y)) (/.f64 1 (hypot.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (+.f64 x y)) (/.f64 1 (neg.f64 (hypot.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (hypot.f64 x y)) (+.f64 x y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 (hypot.f64 x y)) 2)) (/.f64 (+.f64 x y) (cbrt.f64 (hypot.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 (hypot.f64 x y))) (/.f64 (+.f64 x y) (sqrt.f64 (hypot.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (pow.f64 (+.f64 x y) 2)) 1) (/.f64 (cbrt.f64 (+.f64 x y)) (hypot.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (+.f64 x y)) 1) (/.f64 (sqrt.f64 (+.f64 x y)) (hypot.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (pow.f64 (+.f64 x y) 2)) (pow.f64 (cbrt.f64 (hypot.f64 x y)) 2)) (cbrt.f64 (/.f64 (+.f64 x y) (hypot.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (+.f64 x y)) (pow.f64 (cbrt.f64 (hypot.f64 x y)) 2)) (/.f64 (sqrt.f64 (+.f64 x y)) (cbrt.f64 (hypot.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (pow.f64 (+.f64 x y) 2)) (sqrt.f64 (hypot.f64 x y))) (/.f64 (cbrt.f64 (+.f64 x y)) (sqrt.f64 (hypot.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (+.f64 x y) (hypot.f64 x y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (+.f64 x y) (hypot.f64 x y)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (+.f64 x y) (hypot.f64 x y))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (+.f64 x y) (hypot.f64 x y))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (hypot.f64 x y) (+.f64 x y)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (+.f64 x y) (neg.f64 (hypot.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (+.f64 x y) (hypot.f64 x y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (+.f64 x y) (hypot.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (+.f64 x y) (hypot.f64 x y)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (+.f64 x y) (hypot.f64 x y)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (+.f64 x y) 3) (pow.f64 (hypot.f64 x y) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (+.f64 x y) (hypot.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (+.f64 x y) (hypot.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 (+.f64 x y) (hypot.f64 x y))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (+.f64 x y) (hypot.f64 x y))))))))

simplify71.0ms (1.8%)

Algorithm
1×egg-herbie
Rules
783×times-frac_binary64
745×fma-def_binary64
381×associate-/r*_binary64
372×associate-+l+_binary64
348×associate-/l*_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
01491292
14941206
217501060
377171048
Stop Event
1×node limit
Counts
331 → 335
Calls
Call 1
Inputs
-1
(-.f64 (/.f64 x y) 1)
(-.f64 (+.f64 (/.f64 x y) (*.f64 1/2 (/.f64 (pow.f64 x 2) (pow.f64 y 2)))) 1)
(-.f64 (+.f64 (/.f64 x y) (+.f64 (*.f64 1/2 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (*.f64 -1/2 (/.f64 (pow.f64 x 3) (pow.f64 y 3))))) 1)
1
(+.f64 1 (*.f64 -1 (/.f64 y x)))
(+.f64 (*.f64 -1/2 (/.f64 (pow.f64 y 2) (pow.f64 x 2))) (+.f64 1 (*.f64 -1 (/.f64 y x))))
(+.f64 (*.f64 -1/2 (/.f64 (pow.f64 y 2) (pow.f64 x 2))) (+.f64 1 (+.f64 (*.f64 1/2 (/.f64 (pow.f64 y 3) (pow.f64 x 3))) (*.f64 -1 (/.f64 y x)))))
-1
(-.f64 (/.f64 y x) 1)
(-.f64 (+.f64 (/.f64 y x) (*.f64 1/2 (/.f64 (pow.f64 y 2) (pow.f64 x 2)))) 1)
(-.f64 (+.f64 (/.f64 y x) (+.f64 (*.f64 1/2 (/.f64 (pow.f64 y 2) (pow.f64 x 2))) (*.f64 -1/2 (/.f64 (pow.f64 y 3) (pow.f64 x 3))))) 1)
1
(+.f64 1 (*.f64 -1 (/.f64 y x)))
(+.f64 (*.f64 -1/2 (/.f64 (pow.f64 y 2) (pow.f64 x 2))) (+.f64 1 (*.f64 -1 (/.f64 y x))))
(+.f64 (*.f64 -1/2 (/.f64 (pow.f64 y 2) (pow.f64 x 2))) (+.f64 1 (+.f64 (*.f64 1/2 (/.f64 (pow.f64 y 3) (pow.f64 x 3))) (*.f64 -1 (/.f64 y x)))))
-1
(-.f64 (/.f64 x y) 1)
(-.f64 (+.f64 (/.f64 x y) (*.f64 1/2 (/.f64 (pow.f64 x 2) (pow.f64 y 2)))) 1)
(-.f64 (+.f64 (/.f64 x y) (+.f64 (*.f64 1/2 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (*.f64 -1/2 (/.f64 (pow.f64 x 3) (pow.f64 y 3))))) 1)
1
(+.f64 1 (*.f64 -1 (/.f64 x y)))
(+.f64 1 (+.f64 (*.f64 -1/2 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (*.f64 -1 (/.f64 x y))))
(+.f64 1 (+.f64 (*.f64 1/2 (/.f64 (pow.f64 x 3) (pow.f64 y 3))) (+.f64 (*.f64 -1/2 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (*.f64 -1 (/.f64 x y)))))
-1
(-.f64 (*.f64 2 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) 1)
(-.f64 (+.f64 (*.f64 2 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (*.f64 -2 (/.f64 (pow.f64 x 4) (pow.f64 y 4)))) 1)
(-.f64 (+.f64 (*.f64 2 (/.f64 (pow.f64 x 6) (pow.f64 y 6))) (+.f64 (*.f64 2 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (*.f64 -2 (/.f64 (pow.f64 x 4) (pow.f64 y 4))))) 1)
1
(+.f64 (/.f64 y x) (+.f64 1 (*.f64 -1 (/.f64 y x))))
(-.f64 (+.f64 (/.f64 y x) (+.f64 1 (+.f64 (*.f64 -1 (/.f64 (pow.f64 y 2) (pow.f64 x 2))) (*.f64 -1 (/.f64 y x))))) (/.f64 (pow.f64 y 2) (pow.f64 x 2)))
(-.f64 (+.f64 (/.f64 y x) (+.f64 1 (+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 y 2) (+.f64 y (*.f64 -1 y))) (pow.f64 x 3))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 y 2) (pow.f64 x 2))) (*.f64 -1 (/.f64 y x)))))) (/.f64 (pow.f64 y 2) (pow.f64 x 2)))
1
(+.f64 (/.f64 y x) (+.f64 1 (*.f64 -1 (/.f64 y x))))
(+.f64 (/.f64 y x) (+.f64 1 (+.f64 (*.f64 -1 (/.f64 y x)) (*.f64 -1 (/.f64 (-.f64 (pow.f64 y 2) (*.f64 -1 (pow.f64 y 2))) (pow.f64 x 2))))))
(+.f64 (/.f64 y x) (+.f64 1 (+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 y 2) (+.f64 y (*.f64 -1 y))) (pow.f64 x 3))) (+.f64 (*.f64 -1 (/.f64 y x)) (*.f64 -1 (/.f64 (-.f64 (pow.f64 y 2) (*.f64 -1 (pow.f64 y 2))) (pow.f64 x 2)))))))
1
(+.f64 1 (*.f64 -2 (/.f64 (pow.f64 y 2) (pow.f64 x 2))))
(+.f64 1 (+.f64 (*.f64 -2 (/.f64 (pow.f64 y 2) (pow.f64 x 2))) (*.f64 2 (/.f64 (pow.f64 y 4) (pow.f64 x 4)))))
(+.f64 1 (+.f64 (*.f64 -2 (/.f64 (pow.f64 y 2) (pow.f64 x 2))) (+.f64 (*.f64 2 (/.f64 (pow.f64 y 4) (pow.f64 x 4))) (*.f64 -2 (/.f64 (pow.f64 y 6) (pow.f64 x 6))))))
-1
(-.f64 (+.f64 (/.f64 x y) (*.f64 -1 (/.f64 x y))) 1)
(-.f64 (+.f64 (/.f64 (pow.f64 x 2) (pow.f64 y 2)) (+.f64 (/.f64 x y) (*.f64 -1 (/.f64 x y)))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) 1))
(-.f64 (+.f64 (/.f64 (pow.f64 x 2) (pow.f64 y 2)) (+.f64 (/.f64 x y) (+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 x 2) (+.f64 (*.f64 -1 x) x)) (pow.f64 y 3))) (*.f64 -1 (/.f64 x y))))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) 1))
-1
(-.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 x) x) y)) 1)
(-.f64 (+.f64 (/.f64 (pow.f64 x 2) (pow.f64 y 2)) (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 x) x) y))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) 1))
(-.f64 (+.f64 (/.f64 (pow.f64 x 2) (pow.f64 y 2)) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 x) x) y)) (/.f64 (*.f64 (pow.f64 x 2) (+.f64 (*.f64 -1 x) x)) (pow.f64 y 3)))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) 1))
1
(+.f64 1 (/.f64 x y))
(+.f64 1 (+.f64 (/.f64 x y) (*.f64 -1/2 (/.f64 (pow.f64 x 2) (pow.f64 y 2)))))
(+.f64 1 (+.f64 (/.f64 x y) (+.f64 (*.f64 -1/2 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (*.f64 -1/2 (/.f64 (pow.f64 x 3) (pow.f64 y 3))))))
1
(+.f64 (/.f64 y x) 1)
(+.f64 (/.f64 y x) (+.f64 (*.f64 -1/2 (/.f64 (pow.f64 y 2) (pow.f64 x 2))) 1))
(+.f64 (/.f64 y x) (+.f64 (*.f64 -1/2 (/.f64 (pow.f64 y 2) (pow.f64 x 2))) (+.f64 1 (*.f64 -1/2 (/.f64 (pow.f64 y 3) (pow.f64 x 3))))))
-1
(-.f64 (*.f64 -1 (/.f64 y x)) 1)
(-.f64 (+.f64 (*.f64 1/2 (/.f64 (pow.f64 y 2) (pow.f64 x 2))) (*.f64 -1 (/.f64 y x))) 1)
(-.f64 (+.f64 (*.f64 1/2 (/.f64 (pow.f64 y 3) (pow.f64 x 3))) (+.f64 (*.f64 1/2 (/.f64 (pow.f64 y 2) (pow.f64 x 2))) (*.f64 -1 (/.f64 y x)))) 1)
1
(+.f64 (/.f64 y x) 1)
(+.f64 (/.f64 y x) (+.f64 (*.f64 -1/2 (/.f64 (pow.f64 y 2) (pow.f64 x 2))) 1))
(+.f64 (/.f64 y x) (+.f64 (*.f64 -1/2 (/.f64 (pow.f64 y 2) (pow.f64 x 2))) (+.f64 1 (*.f64 -1/2 (/.f64 (pow.f64 y 3) (pow.f64 x 3))))))
1
(+.f64 1 (/.f64 x y))
(+.f64 1 (+.f64 (/.f64 x y) (*.f64 -1/2 (/.f64 (pow.f64 x 2) (pow.f64 y 2)))))
(+.f64 1 (+.f64 (/.f64 x y) (+.f64 (*.f64 -1/2 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (*.f64 -1/2 (/.f64 (pow.f64 x 3) (pow.f64 y 3))))))
-1
(-.f64 (*.f64 -1 (/.f64 x y)) 1)
(-.f64 (+.f64 (*.f64 1/2 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (*.f64 -1 (/.f64 x y))) 1)
(-.f64 (+.f64 (*.f64 1/2 (/.f64 (pow.f64 x 3) (pow.f64 y 3))) (+.f64 (*.f64 1/2 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (*.f64 -1 (/.f64 x y)))) 1)
Outputs
-1
(-.f64 (/.f64 x y) 1)
(+.f64 (/.f64 x y) -1)
(+.f64 -1 (/.f64 x y))
(-.f64 (+.f64 (/.f64 x y) (*.f64 1/2 (/.f64 (pow.f64 x 2) (pow.f64 y 2)))) 1)
(+.f64 (/.f64 x y) (-.f64 (*.f64 1/2 (/.f64 (*.f64 x x) (*.f64 y y))) 1))
(+.f64 -1 (fma.f64 1/2 (*.f64 (/.f64 x y) (/.f64 x y)) (/.f64 x y)))
(-.f64 (+.f64 (/.f64 x y) (+.f64 (*.f64 1/2 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (*.f64 -1/2 (/.f64 (pow.f64 x 3) (pow.f64 y 3))))) 1)
(+.f64 (/.f64 x y) (-.f64 (fma.f64 1/2 (/.f64 (*.f64 x x) (*.f64 y y)) (*.f64 -1/2 (/.f64 (pow.f64 x 3) (pow.f64 y 3)))) 1))
(+.f64 (/.f64 x y) (+.f64 (/.f64 (*.f64 -1/2 (pow.f64 x 3)) (pow.f64 y 3)) (fma.f64 1/2 (*.f64 (/.f64 x y) (/.f64 x y)) -1)))
(+.f64 (fma.f64 1/2 (*.f64 (/.f64 x y) (/.f64 x y)) (/.f64 x y)) (fma.f64 -1/2 (pow.f64 (/.f64 x y) 3) -1))
1
(+.f64 1 (*.f64 -1 (/.f64 y x)))
(+.f64 1 (neg.f64 (/.f64 y x)))
(-.f64 1 (/.f64 y x))
(+.f64 (*.f64 -1/2 (/.f64 (pow.f64 y 2) (pow.f64 x 2))) (+.f64 1 (*.f64 -1 (/.f64 y x))))
(+.f64 (fma.f64 -1/2 (/.f64 (*.f64 y y) (*.f64 x x)) 1) (neg.f64 (/.f64 y x)))
(-.f64 (fma.f64 -1/2 (*.f64 (/.f64 y x) (/.f64 y x)) 1) (/.f64 y x))
(fma.f64 -1/2 (*.f64 (/.f64 y (*.f64 x x)) y) (-.f64 1 (/.f64 y x)))
(+.f64 (*.f64 -1/2 (/.f64 (pow.f64 y 2) (pow.f64 x 2))) (+.f64 1 (+.f64 (*.f64 1/2 (/.f64 (pow.f64 y 3) (pow.f64 x 3))) (*.f64 -1 (/.f64 y x)))))
(+.f64 (fma.f64 -1/2 (/.f64 (*.f64 y y) (*.f64 x x)) 1) (fma.f64 1/2 (/.f64 (pow.f64 y 3) (pow.f64 x 3)) (neg.f64 (/.f64 y x))))
(+.f64 (fma.f64 1/2 (/.f64 (pow.f64 y 3) (pow.f64 x 3)) (/.f64 (neg.f64 y) x)) (fma.f64 -1/2 (*.f64 (/.f64 y x) (/.f64 y x)) 1))
(-.f64 (fma.f64 -1/2 (*.f64 (/.f64 y (*.f64 x x)) y) (fma.f64 1/2 (pow.f64 (/.f64 y x) 3) 1)) (/.f64 y x))
-1
(-.f64 (/.f64 y x) 1)
(+.f64 (/.f64 y x) -1)
(+.f64 -1 (/.f64 y x))
(-.f64 (+.f64 (/.f64 y x) (*.f64 1/2 (/.f64 (pow.f64 y 2) (pow.f64 x 2)))) 1)
(+.f64 (/.f64 y x) (-.f64 (*.f64 1/2 (/.f64 (*.f64 y y) (*.f64 x x))) 1))
(+.f64 -1 (fma.f64 1/2 (*.f64 (/.f64 y x) (/.f64 y x)) (/.f64 y x)))
(+.f64 (/.f64 y x) (fma.f64 1/2 (*.f64 (/.f64 y (*.f64 x x)) y) -1))
(-.f64 (+.f64 (/.f64 y x) (+.f64 (*.f64 1/2 (/.f64 (pow.f64 y 2) (pow.f64 x 2))) (*.f64 -1/2 (/.f64 (pow.f64 y 3) (pow.f64 x 3))))) 1)
(+.f64 (/.f64 y x) (-.f64 (fma.f64 1/2 (/.f64 (*.f64 y y) (*.f64 x x)) (/.f64 (*.f64 -1/2 (pow.f64 y 3)) (pow.f64 x 3))) 1))
(+.f64 (fma.f64 1/2 (*.f64 (/.f64 y x) (/.f64 y x)) (/.f64 y x)) (-.f64 (/.f64 (*.f64 -1/2 (pow.f64 y 3)) (pow.f64 x 3)) 1))
(+.f64 -1 (fma.f64 -1/2 (pow.f64 (/.f64 y x) 3) (fma.f64 1/2 (*.f64 (/.f64 y (*.f64 x x)) y) (/.f64 y x))))
1
(+.f64 1 (*.f64 -1 (/.f64 y x)))
(+.f64 1 (neg.f64 (/.f64 y x)))
(-.f64 1 (/.f64 y x))
(+.f64 (*.f64 -1/2 (/.f64 (pow.f64 y 2) (pow.f64 x 2))) (+.f64 1 (*.f64 -1 (/.f64 y x))))
(+.f64 (fma.f64 -1/2 (/.f64 (*.f64 y y) (*.f64 x x)) 1) (neg.f64 (/.f64 y x)))
(-.f64 (fma.f64 -1/2 (*.f64 (/.f64 y x) (/.f64 y x)) 1) (/.f64 y x))
(fma.f64 -1/2 (*.f64 (/.f64 y (*.f64 x x)) y) (-.f64 1 (/.f64 y x)))
(+.f64 (*.f64 -1/2 (/.f64 (pow.f64 y 2) (pow.f64 x 2))) (+.f64 1 (+.f64 (*.f64 1/2 (/.f64 (pow.f64 y 3) (pow.f64 x 3))) (*.f64 -1 (/.f64 y x)))))
(+.f64 (fma.f64 -1/2 (/.f64 (*.f64 y y) (*.f64 x x)) 1) (fma.f64 1/2 (/.f64 (pow.f64 y 3) (pow.f64 x 3)) (neg.f64 (/.f64 y x))))
(+.f64 (fma.f64 1/2 (/.f64 (pow.f64 y 3) (pow.f64 x 3)) (/.f64 (neg.f64 y) x)) (fma.f64 -1/2 (*.f64 (/.f64 y x) (/.f64 y x)) 1))
(-.f64 (fma.f64 -1/2 (*.f64 (/.f64 y (*.f64 x x)) y) (fma.f64 1/2 (pow.f64 (/.f64 y x) 3) 1)) (/.f64 y x))
-1
(-.f64 (/.f64 x y) 1)
(+.f64 (/.f64 x y) -1)
(+.f64 -1 (/.f64 x y))
(-.f64 (+.f64 (/.f64 x y) (*.f64 1/2 (/.f64 (pow.f64 x 2) (pow.f64 y 2)))) 1)
(+.f64 (/.f64 x y) (-.f64 (*.f64 1/2 (/.f64 (*.f64 x x) (*.f64 y y))) 1))
(+.f64 -1 (fma.f64 1/2 (*.f64 (/.f64 x y) (/.f64 x y)) (/.f64 x y)))
(-.f64 (+.f64 (/.f64 x y) (+.f64 (*.f64 1/2 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (*.f64 -1/2 (/.f64 (pow.f64 x 3) (pow.f64 y 3))))) 1)
(+.f64 (/.f64 x y) (-.f64 (fma.f64 1/2 (/.f64 (*.f64 x x) (*.f64 y y)) (*.f64 -1/2 (/.f64 (pow.f64 x 3) (pow.f64 y 3)))) 1))
(+.f64 (/.f64 x y) (+.f64 (/.f64 (*.f64 -1/2 (pow.f64 x 3)) (pow.f64 y 3)) (fma.f64 1/2 (*.f64 (/.f64 x y) (/.f64 x y)) -1)))
(+.f64 (fma.f64 1/2 (*.f64 (/.f64 x y) (/.f64 x y)) (/.f64 x y)) (fma.f64 -1/2 (pow.f64 (/.f64 x y) 3) -1))
1
(+.f64 1 (*.f64 -1 (/.f64 x y)))
(+.f64 1 (/.f64 (neg.f64 x) y))
(-.f64 1 (/.f64 x y))
(+.f64 1 (+.f64 (*.f64 -1/2 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (*.f64 -1 (/.f64 x y))))
(+.f64 1 (fma.f64 -1/2 (/.f64 (*.f64 x x) (*.f64 y y)) (/.f64 (neg.f64 x) y)))
(+.f64 1 (-.f64 (*.f64 (/.f64 -1/2 y) (/.f64 (*.f64 x x) y)) (/.f64 x y)))
(-.f64 (fma.f64 (*.f64 (/.f64 x y) (/.f64 x y)) -1/2 1) (/.f64 x y))
(+.f64 1 (+.f64 (*.f64 1/2 (/.f64 (pow.f64 x 3) (pow.f64 y 3))) (+.f64 (*.f64 -1/2 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (*.f64 -1 (/.f64 x y)))))
(+.f64 1 (fma.f64 1/2 (/.f64 (pow.f64 x 3) (pow.f64 y 3)) (fma.f64 -1/2 (/.f64 (*.f64 x x) (*.f64 y y)) (/.f64 (neg.f64 x) y))))
(+.f64 1 (-.f64 (fma.f64 1/2 (/.f64 (pow.f64 x 3) (pow.f64 y 3)) (*.f64 (/.f64 -1/2 y) (/.f64 (*.f64 x x) y))) (/.f64 x y)))
(fma.f64 1/2 (pow.f64 (/.f64 x y) 3) (-.f64 (fma.f64 (*.f64 (/.f64 x y) (/.f64 x y)) -1/2 1) (/.f64 x y)))
-1
(-.f64 (*.f64 2 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) 1)
(fma.f64 2 (/.f64 (*.f64 x x) (*.f64 y y)) -1)
(fma.f64 2 (*.f64 (/.f64 x y) (/.f64 x y)) -1)
(fma.f64 (/.f64 2 y) (/.f64 (*.f64 x x) y) -1)
(-.f64 (+.f64 (*.f64 2 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (*.f64 -2 (/.f64 (pow.f64 x 4) (pow.f64 y 4)))) 1)
(+.f64 (fma.f64 2 (/.f64 (*.f64 x x) (*.f64 y y)) (*.f64 -2 (/.f64 (pow.f64 x 4) (pow.f64 y 4)))) -1)
(fma.f64 2 (*.f64 (/.f64 x y) (/.f64 x y)) (fma.f64 -2 (/.f64 (pow.f64 x 4) (pow.f64 y 4)) -1))
(fma.f64 2 (*.f64 (/.f64 x y) (/.f64 x y)) (fma.f64 -2 (pow.f64 (/.f64 x y) 4) -1))
(-.f64 (+.f64 (*.f64 2 (/.f64 (pow.f64 x 6) (pow.f64 y 6))) (+.f64 (*.f64 2 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (*.f64 -2 (/.f64 (pow.f64 x 4) (pow.f64 y 4))))) 1)
(+.f64 (fma.f64 2 (/.f64 (pow.f64 x 6) (pow.f64 y 6)) (fma.f64 2 (/.f64 (*.f64 x x) (*.f64 y y)) (*.f64 -2 (/.f64 (pow.f64 x 4) (pow.f64 y 4))))) -1)
(fma.f64 2 (/.f64 (pow.f64 x 6) (pow.f64 y 6)) (fma.f64 2 (*.f64 (/.f64 x y) (/.f64 x y)) (fma.f64 -2 (/.f64 (pow.f64 x 4) (pow.f64 y 4)) -1)))
(fma.f64 2 (+.f64 (*.f64 (/.f64 x y) (/.f64 x y)) (/.f64 (pow.f64 x 6) (pow.f64 y 6))) (fma.f64 -2 (/.f64 (pow.f64 x 4) (pow.f64 y 4)) -1))
(fma.f64 2 (+.f64 (*.f64 (/.f64 x y) (/.f64 x y)) (/.f64 (pow.f64 x 6) (pow.f64 y 6))) (fma.f64 -2 (pow.f64 (/.f64 x y) 4) -1))
1
(+.f64 (/.f64 y x) (+.f64 1 (*.f64 -1 (/.f64 y x))))
(+.f64 (/.f64 y x) (+.f64 1 (neg.f64 (/.f64 y x))))
(+.f64 (/.f64 y x) (-.f64 1 (/.f64 y x)))
(+.f64 1 (*.f64 0 (/.f64 y x)))
(-.f64 (+.f64 (/.f64 y x) (+.f64 1 (+.f64 (*.f64 -1 (/.f64 (pow.f64 y 2) (pow.f64 x 2))) (*.f64 -1 (/.f64 y x))))) (/.f64 (pow.f64 y 2) (pow.f64 x 2)))
(+.f64 (/.f64 y x) (-.f64 (+.f64 1 (fma.f64 -1 (/.f64 (*.f64 y y) (*.f64 x x)) (neg.f64 (/.f64 y x)))) (/.f64 (*.f64 y y) (*.f64 x x))))
(+.f64 (/.f64 y x) (-.f64 (-.f64 (-.f64 1 (*.f64 (/.f64 y x) (/.f64 y x))) (/.f64 y x)) (*.f64 (/.f64 y x) (/.f64 y x))))
(+.f64 (fma.f64 (*.f64 (/.f64 y (*.f64 x x)) y) -2 1) (*.f64 0 (/.f64 y x)))
(-.f64 (+.f64 (/.f64 y x) (+.f64 1 (+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 y 2) (+.f64 y (*.f64 -1 y))) (pow.f64 x 3))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 y 2) (pow.f64 x 2))) (*.f64 -1 (/.f64 y x)))))) (/.f64 (pow.f64 y 2) (pow.f64 x 2)))
(+.f64 (/.f64 y x) (-.f64 (+.f64 1 (fma.f64 -1 (/.f64 (*.f64 y y) (*.f64 x x)) (neg.f64 (/.f64 y x)))) (/.f64 (*.f64 y y) (*.f64 x x))))
(+.f64 (/.f64 y x) (-.f64 (-.f64 (-.f64 1 (*.f64 (/.f64 y x) (/.f64 y x))) (/.f64 y x)) (*.f64 (/.f64 y x) (/.f64 y x))))
(+.f64 (fma.f64 (*.f64 (/.f64 y (*.f64 x x)) y) -2 1) (*.f64 0 (/.f64 y x)))
1
(+.f64 (/.f64 y x) (+.f64 1 (*.f64 -1 (/.f64 y x))))
(+.f64 (/.f64 y x) (+.f64 1 (neg.f64 (/.f64 y x))))
(+.f64 (/.f64 y x) (-.f64 1 (/.f64 y x)))
(+.f64 1 (*.f64 0 (/.f64 y x)))
(+.f64 (/.f64 y x) (+.f64 1 (+.f64 (*.f64 -1 (/.f64 y x)) (*.f64 -1 (/.f64 (-.f64 (pow.f64 y 2) (*.f64 -1 (pow.f64 y 2))) (pow.f64 x 2))))))
(+.f64 (/.f64 y x) (-.f64 (+.f64 1 (fma.f64 -1 (/.f64 (*.f64 y y) (*.f64 x x)) (neg.f64 (/.f64 y x)))) (/.f64 (*.f64 y y) (*.f64 x x))))
(+.f64 (/.f64 y x) (-.f64 (-.f64 (-.f64 1 (*.f64 (/.f64 y x) (/.f64 y x))) (/.f64 y x)) (*.f64 (/.f64 y x) (/.f64 y x))))
(+.f64 (fma.f64 (*.f64 (/.f64 y (*.f64 x x)) y) -2 1) (*.f64 0 (/.f64 y x)))
(+.f64 (/.f64 y x) (+.f64 1 (+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 y 2) (+.f64 y (*.f64 -1 y))) (pow.f64 x 3))) (+.f64 (*.f64 -1 (/.f64 y x)) (*.f64 -1 (/.f64 (-.f64 (pow.f64 y 2) (*.f64 -1 (pow.f64 y 2))) (pow.f64 x 2)))))))
(+.f64 (/.f64 y x) (-.f64 (+.f64 1 (fma.f64 -1 (/.f64 (*.f64 y y) (*.f64 x x)) (neg.f64 (/.f64 y x)))) (/.f64 (*.f64 y y) (*.f64 x x))))
(+.f64 (/.f64 y x) (-.f64 (-.f64 (-.f64 1 (*.f64 (/.f64 y x) (/.f64 y x))) (/.f64 y x)) (*.f64 (/.f64 y x) (/.f64 y x))))
(+.f64 (fma.f64 (*.f64 (/.f64 y (*.f64 x x)) y) -2 1) (*.f64 0 (/.f64 y x)))
1
(+.f64 1 (*.f64 -2 (/.f64 (pow.f64 y 2) (pow.f64 x 2))))
(+.f64 1 (*.f64 (/.f64 (*.f64 y y) (*.f64 x x)) -2))
(fma.f64 (*.f64 (/.f64 y x) (/.f64 y x)) -2 1)
(fma.f64 (*.f64 (/.f64 y (*.f64 x x)) y) -2 1)
(+.f64 1 (+.f64 (*.f64 -2 (/.f64 (pow.f64 y 2) (pow.f64 x 2))) (*.f64 2 (/.f64 (pow.f64 y 4) (pow.f64 x 4)))))
(+.f64 1 (fma.f64 -2 (/.f64 (*.f64 y y) (*.f64 x x)) (*.f64 2 (/.f64 (pow.f64 y 4) (pow.f64 x 4)))))
(+.f64 1 (fma.f64 2 (/.f64 (pow.f64 y 4) (pow.f64 x 4)) (*.f64 (/.f64 -2 x) (/.f64 (*.f64 y y) x))))
(fma.f64 2 (/.f64 (pow.f64 y 4) (pow.f64 x 4)) (fma.f64 (*.f64 (/.f64 y (*.f64 x x)) y) -2 1))
(fma.f64 2 (pow.f64 (/.f64 y x) 4) (fma.f64 (*.f64 (/.f64 y (*.f64 x x)) y) -2 1))
(+.f64 1 (+.f64 (*.f64 -2 (/.f64 (pow.f64 y 2) (pow.f64 x 2))) (+.f64 (*.f64 2 (/.f64 (pow.f64 y 4) (pow.f64 x 4))) (*.f64 -2 (/.f64 (pow.f64 y 6) (pow.f64 x 6))))))
(+.f64 1 (fma.f64 -2 (/.f64 (*.f64 y y) (*.f64 x x)) (fma.f64 2 (/.f64 (pow.f64 y 4) (pow.f64 x 4)) (*.f64 -2 (/.f64 (pow.f64 y 6) (pow.f64 x 6))))))
(+.f64 (fma.f64 (*.f64 (/.f64 y x) (/.f64 y x)) -2 1) (fma.f64 -2 (/.f64 (pow.f64 y 6) (pow.f64 x 6)) (/.f64 2 (/.f64 (pow.f64 x 4) (pow.f64 y 4)))))
(+.f64 1 (fma.f64 2 (/.f64 (pow.f64 y 4) (pow.f64 x 4)) (*.f64 -2 (+.f64 (*.f64 (/.f64 y (*.f64 x x)) y) (/.f64 (pow.f64 y 6) (pow.f64 x 6))))))
(+.f64 1 (fma.f64 2 (pow.f64 (/.f64 y x) 4) (*.f64 -2 (+.f64 (*.f64 (/.f64 y (*.f64 x x)) y) (/.f64 (pow.f64 y 6) (pow.f64 x 6))))))
-1
(-.f64 (+.f64 (/.f64 x y) (*.f64 -1 (/.f64 x y))) 1)
-1
(-.f64 (+.f64 (/.f64 (pow.f64 x 2) (pow.f64 y 2)) (+.f64 (/.f64 x y) (*.f64 -1 (/.f64 x y)))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) 1))
(+.f64 (/.f64 (*.f64 x x) (*.f64 y y)) (-.f64 (*.f64 0 (/.f64 x y)) (fma.f64 -1 (/.f64 (*.f64 x x) (*.f64 y y)) 1)))
(+.f64 (*.f64 (/.f64 x y) (/.f64 x y)) (-.f64 -1 (/.f64 (*.f64 (neg.f64 x) x) (*.f64 y y))))
(+.f64 -1 (fma.f64 (/.f64 x y) (/.f64 x y) (*.f64 (/.f64 x y) (/.f64 x y))))
(-.f64 (+.f64 (/.f64 (pow.f64 x 2) (pow.f64 y 2)) (+.f64 (/.f64 x y) (+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 x 2) (+.f64 (*.f64 -1 x) x)) (pow.f64 y 3))) (*.f64 -1 (/.f64 x y))))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) 1))
(+.f64 (/.f64 (*.f64 x x) (*.f64 y y)) (-.f64 (*.f64 0 (/.f64 x y)) (fma.f64 -1 (/.f64 (*.f64 x x) (*.f64 y y)) 1)))
(+.f64 (*.f64 (/.f64 x y) (/.f64 x y)) (-.f64 -1 (/.f64 (*.f64 (neg.f64 x) x) (*.f64 y y))))
(+.f64 -1 (fma.f64 (/.f64 x y) (/.f64 x y) (*.f64 (/.f64 x y) (/.f64 x y))))
-1
(-.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 x) x) y)) 1)
-1
(-.f64 (+.f64 (/.f64 (pow.f64 x 2) (pow.f64 y 2)) (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 x) x) y))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) 1))
(+.f64 (/.f64 (*.f64 x x) (*.f64 y y)) (-.f64 (*.f64 0 (/.f64 x y)) (fma.f64 -1 (/.f64 (*.f64 x x) (*.f64 y y)) 1)))
(+.f64 (*.f64 (/.f64 x y) (/.f64 x y)) (-.f64 -1 (/.f64 (*.f64 (neg.f64 x) x) (*.f64 y y))))
(+.f64 -1 (fma.f64 (/.f64 x y) (/.f64 x y) (*.f64 (/.f64 x y) (/.f64 x y))))
(-.f64 (+.f64 (/.f64 (pow.f64 x 2) (pow.f64 y 2)) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 x) x) y)) (/.f64 (*.f64 (pow.f64 x 2) (+.f64 (*.f64 -1 x) x)) (pow.f64 y 3)))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) 1))
(+.f64 (/.f64 (*.f64 x x) (*.f64 y y)) (-.f64 (*.f64 0 (/.f64 x y)) (fma.f64 -1 (/.f64 (*.f64 x x) (*.f64 y y)) 1)))
(+.f64 (*.f64 (/.f64 x y) (/.f64 x y)) (-.f64 -1 (/.f64 (*.f64 (neg.f64 x) x) (*.f64 y y))))
(+.f64 -1 (fma.f64 (/.f64 x y) (/.f64 x y) (*.f64 (/.f64 x y) (/.f64 x y))))
1
(+.f64 1 (/.f64 x y))
(+.f64 (/.f64 x y) 1)
(+.f64 1 (+.f64 (/.f64 x y) (*.f64 -1/2 (/.f64 (pow.f64 x 2) (pow.f64 y 2)))))
(+.f64 1 (+.f64 (/.f64 x y) (*.f64 (/.f64 (*.f64 x x) (*.f64 y y)) -1/2)))
(+.f64 1 (fma.f64 (*.f64 (/.f64 x y) (/.f64 x y)) -1/2 (/.f64 x y)))
(fma.f64 (/.f64 -1/2 y) (/.f64 (*.f64 x x) y) (+.f64 (/.f64 x y) 1))
(+.f64 1 (+.f64 (/.f64 x y) (+.f64 (*.f64 -1/2 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (*.f64 -1/2 (/.f64 (pow.f64 x 3) (pow.f64 y 3))))))
(+.f64 1 (+.f64 (/.f64 x y) (*.f64 -1/2 (+.f64 (/.f64 (*.f64 x x) (*.f64 y y)) (/.f64 (pow.f64 x 3) (pow.f64 y 3))))))
(+.f64 1 (fma.f64 -1/2 (+.f64 (*.f64 (/.f64 x y) (/.f64 x y)) (/.f64 (pow.f64 x 3) (pow.f64 y 3))) (/.f64 x y)))
(fma.f64 -1/2 (fma.f64 (/.f64 x y) (/.f64 x y) (pow.f64 (/.f64 x y) 3)) (+.f64 (/.f64 x y) 1))
1
(+.f64 (/.f64 y x) 1)
(+.f64 1 (/.f64 y x))
(+.f64 (/.f64 y x) (+.f64 (*.f64 -1/2 (/.f64 (pow.f64 y 2) (pow.f64 x 2))) 1))
(+.f64 (/.f64 y x) (fma.f64 -1/2 (/.f64 (*.f64 y y) (*.f64 x x)) 1))
(+.f64 (/.f64 y x) (fma.f64 -1/2 (*.f64 (/.f64 y x) (/.f64 y x)) 1))
(+.f64 1 (fma.f64 -1/2 (*.f64 (/.f64 y (*.f64 x x)) y) (/.f64 y x)))
(+.f64 (/.f64 y x) (+.f64 (*.f64 -1/2 (/.f64 (pow.f64 y 2) (pow.f64 x 2))) (+.f64 1 (*.f64 -1/2 (/.f64 (pow.f64 y 3) (pow.f64 x 3))))))
(+.f64 (/.f64 y x) (fma.f64 -1/2 (/.f64 (*.f64 y y) (*.f64 x x)) (+.f64 1 (/.f64 (*.f64 -1/2 (pow.f64 y 3)) (pow.f64 x 3)))))
(+.f64 (/.f64 y x) (fma.f64 -1/2 (*.f64 (/.f64 y x) (/.f64 y x)) (fma.f64 -1/2 (/.f64 (pow.f64 y 3) (pow.f64 x 3)) 1)))
(+.f64 (/.f64 y x) (fma.f64 -1/2 (*.f64 (/.f64 y (*.f64 x x)) y) (fma.f64 -1/2 (pow.f64 (/.f64 y x) 3) 1)))
-1
(-.f64 (*.f64 -1 (/.f64 y x)) 1)
(fma.f64 -1 (/.f64 y x) -1)
(-.f64 -1 (/.f64 y x))
(-.f64 (+.f64 (*.f64 1/2 (/.f64 (pow.f64 y 2) (pow.f64 x 2))) (*.f64 -1 (/.f64 y x))) 1)
(+.f64 (fma.f64 1/2 (/.f64 (*.f64 y y) (*.f64 x x)) (neg.f64 (/.f64 y x))) -1)
(fma.f64 1/2 (*.f64 (/.f64 y x) (/.f64 y x)) (fma.f64 -1 (/.f64 y x) -1))
(-.f64 (fma.f64 1/2 (*.f64 (/.f64 y (*.f64 x x)) y) -1) (/.f64 y x))
(-.f64 (+.f64 (*.f64 1/2 (/.f64 (pow.f64 y 3) (pow.f64 x 3))) (+.f64 (*.f64 1/2 (/.f64 (pow.f64 y 2) (pow.f64 x 2))) (*.f64 -1 (/.f64 y x)))) 1)
(+.f64 (fma.f64 1/2 (/.f64 (pow.f64 y 3) (pow.f64 x 3)) (fma.f64 1/2 (/.f64 (*.f64 y y) (*.f64 x x)) (neg.f64 (/.f64 y x)))) -1)
(fma.f64 1/2 (/.f64 (pow.f64 y 3) (pow.f64 x 3)) (fma.f64 1/2 (*.f64 (/.f64 y x) (/.f64 y x)) (fma.f64 -1 (/.f64 y x) -1)))
(fma.f64 1/2 (*.f64 (/.f64 y x) (*.f64 (+.f64 1 (/.f64 y x)) (/.f64 y x))) (-.f64 -1 (/.f64 y x)))
1
(+.f64 (/.f64 y x) 1)
(+.f64 1 (/.f64 y x))
(+.f64 (/.f64 y x) (+.f64 (*.f64 -1/2 (/.f64 (pow.f64 y 2) (pow.f64 x 2))) 1))
(+.f64 (/.f64 y x) (fma.f64 -1/2 (/.f64 (*.f64 y y) (*.f64 x x)) 1))
(+.f64 (/.f64 y x) (fma.f64 -1/2 (*.f64 (/.f64 y x) (/.f64 y x)) 1))
(+.f64 1 (fma.f64 -1/2 (*.f64 (/.f64 y (*.f64 x x)) y) (/.f64 y x)))
(+.f64 (/.f64 y x) (+.f64 (*.f64 -1/2 (/.f64 (pow.f64 y 2) (pow.f64 x 2))) (+.f64 1 (*.f64 -1/2 (/.f64 (pow.f64 y 3) (pow.f64 x 3))))))
(+.f64 (/.f64 y x) (fma.f64 -1/2 (/.f64 (*.f64 y y) (*.f64 x x)) (+.f64 1 (/.f64 (*.f64 -1/2 (pow.f64 y 3)) (pow.f64 x 3)))))
(+.f64 (/.f64 y x) (fma.f64 -1/2 (*.f64 (/.f64 y x) (/.f64 y x)) (fma.f64 -1/2 (/.f64 (pow.f64 y 3) (pow.f64 x 3)) 1)))
(+.f64 (/.f64 y x) (fma.f64 -1/2 (*.f64 (/.f64 y (*.f64 x x)) y) (fma.f64 -1/2 (pow.f64 (/.f64 y x) 3) 1)))
1
(+.f64 1 (/.f64 x y))
(+.f64 (/.f64 x y) 1)
(+.f64 1 (+.f64 (/.f64 x y) (*.f64 -1/2 (/.f64 (pow.f64 x 2) (pow.f64 y 2)))))
(+.f64 1 (+.f64 (/.f64 x y) (*.f64 (/.f64 (*.f64 x x) (*.f64 y y)) -1/2)))
(+.f64 1 (fma.f64 (*.f64 (/.f64 x y) (/.f64 x y)) -1/2 (/.f64 x y)))
(fma.f64 (/.f64 -1/2 y) (/.f64 (*.f64 x x) y) (+.f64 (/.f64 x y) 1))
(+.f64 1 (+.f64 (/.f64 x y) (+.f64 (*.f64 -1/2 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (*.f64 -1/2 (/.f64 (pow.f64 x 3) (pow.f64 y 3))))))
(+.f64 1 (+.f64 (/.f64 x y) (*.f64 -1/2 (+.f64 (/.f64 (*.f64 x x) (*.f64 y y)) (/.f64 (pow.f64 x 3) (pow.f64 y 3))))))
(+.f64 1 (fma.f64 -1/2 (+.f64 (*.f64 (/.f64 x y) (/.f64 x y)) (/.f64 (pow.f64 x 3) (pow.f64 y 3))) (/.f64 x y)))
(fma.f64 -1/2 (fma.f64 (/.f64 x y) (/.f64 x y) (pow.f64 (/.f64 x y) 3)) (+.f64 (/.f64 x y) 1))
-1
(-.f64 (*.f64 -1 (/.f64 x y)) 1)
(fma.f64 -1 (/.f64 x y) -1)
(-.f64 -1 (/.f64 x y))
(-.f64 (+.f64 (*.f64 1/2 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (*.f64 -1 (/.f64 x y))) 1)
(+.f64 (fma.f64 1/2 (/.f64 (*.f64 x x) (*.f64 y y)) (/.f64 (neg.f64 x) y)) -1)
(fma.f64 1/2 (*.f64 (/.f64 x y) (/.f64 x y)) (fma.f64 -1 (/.f64 x y) -1))
(-.f64 (fma.f64 1/2 (*.f64 (/.f64 x y) (/.f64 x y)) -1) (/.f64 x y))
(-.f64 (+.f64 (*.f64 1/2 (/.f64 (pow.f64 x 3) (pow.f64 y 3))) (+.f64 (*.f64 1/2 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (*.f64 -1 (/.f64 x y)))) 1)
(+.f64 (fma.f64 1/2 (/.f64 (pow.f64 x 3) (pow.f64 y 3)) (fma.f64 1/2 (/.f64 (*.f64 x x) (*.f64 y y)) (/.f64 (neg.f64 x) y))) -1)
(fma.f64 1/2 (/.f64 (pow.f64 x 3) (pow.f64 y 3)) (fma.f64 1/2 (*.f64 (/.f64 x y) (/.f64 x y)) (fma.f64 -1 (/.f64 x y) -1)))
(fma.f64 1/2 (fma.f64 (/.f64 x y) (/.f64 x y) (pow.f64 (/.f64 x y) 3)) (-.f64 -1 (/.f64 x y)))

prune1.7s (42.9%)

Pruning

2 alts after pruning (1 fresh and 1 done)

PrunedKeptTotal
New3341335
Fresh101
Picked011
Done101
Total3362338
Error
0b
Counts
338 → 2
Alt Table
StatusErrorProgram
✓0.0b
(*.f64 (/.f64 (+.f64 x y) (hypot.f64 x y)) (/.f64 (-.f64 x y) (hypot.f64 x y)))
▶0.0b
(/.f64 (-.f64 x y) (*.f64 (hypot.f64 x y) (/.f64 (hypot.f64 x y) (+.f64 x y))))
Compiler

Compiled 12620 to 3513 computations (72.2% saved)

localize7.0ms (0.2%)

Local error

Found 2 expressions with local error:

NewErrorProgram
✓0.0b
(*.f64 (hypot.f64 x y) (/.f64 (hypot.f64 x y) (+.f64 x y)))
✓0.0b
(/.f64 (hypot.f64 x y) (+.f64 x y))

series7.0ms (0.2%)

Counts
2 → 48
Calls

12 calls:

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

rewrite52.0ms (1.3%)

Algorithm
1×batch-egg-rewrite
Rules
919×pow1_binary64
854×add-log-exp_binary64
854×log1p-expm1-u_binary64
854×expm1-log1p-u_binary64
835×add-exp-log_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0726
115723
2228923
Stop Event
1×node limit
Counts
2 → 55
Calls
Call 1
Inputs
(/.f64 (hypot.f64 x y) (+.f64 x y))
(*.f64 (hypot.f64 x y) (/.f64 (hypot.f64 x y) (+.f64 x y)))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (/.f64 (hypot.f64 x y) (+.f64 x y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (hypot.f64 x y) (/.f64 1 (+.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (hypot.f64 x y) (+.f64 x y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (hypot.f64 x y) (+.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (hypot.f64 x y) (+.f64 x y))) (pow.f64 (cbrt.f64 (/.f64 (hypot.f64 x y) (+.f64 x y))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 (hypot.f64 x y) (+.f64 x y))) 2) (cbrt.f64 (/.f64 (hypot.f64 x y) (+.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (hypot.f64 x y)) 2) (*.f64 (cbrt.f64 (hypot.f64 x y)) (/.f64 1 (+.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (hypot.f64 x y) (+.f64 x y))) (sqrt.f64 (/.f64 (hypot.f64 x y) (+.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (hypot.f64 x y)) (*.f64 (sqrt.f64 (hypot.f64 x y)) (/.f64 1 (+.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (hypot.f64 x y)) (/.f64 1 (neg.f64 (+.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 x y)) (hypot.f64 x y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (hypot.f64 x y)) 2) 1) (/.f64 (cbrt.f64 (hypot.f64 x y)) (+.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (hypot.f64 x y)) 1) (/.f64 (sqrt.f64 (hypot.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 (hypot.f64 x y) (cbrt.f64 (+.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (hypot.f64 x y)) 2) (pow.f64 (cbrt.f64 (+.f64 x y)) 2)) (cbrt.f64 (/.f64 (hypot.f64 x y) (+.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (hypot.f64 x y)) (pow.f64 (cbrt.f64 (+.f64 x y)) 2)) (/.f64 (sqrt.f64 (hypot.f64 x y)) (cbrt.f64 (+.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 (+.f64 x y))) (/.f64 (hypot.f64 x y) (sqrt.f64 (+.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (hypot.f64 x y)) 2) (sqrt.f64 (+.f64 x y))) (/.f64 (cbrt.f64 (hypot.f64 x y)) (sqrt.f64 (+.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (hypot.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 *.f64 (/.f64 (hypot.f64 x y) (-.f64 (*.f64 x x) (*.f64 y y))) (-.f64 x y))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (hypot.f64 x y) (+.f64 x y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (hypot.f64 x y) (+.f64 x y)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (hypot.f64 x y) (+.f64 x y))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (hypot.f64 x y) (+.f64 x y))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (+.f64 x y) (hypot.f64 x y)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (hypot.f64 x y) (neg.f64 (+.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (hypot.f64 x y) (+.f64 x y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (hypot.f64 x y) (+.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (hypot.f64 x y) (+.f64 x y)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (hypot.f64 x y) 3) (pow.f64 (+.f64 x y) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (hypot.f64 x y) (+.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (hypot.f64 x y) (+.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (hypot.f64 x y) (+.f64 x y))))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (/.f64 (pow.f64 (hypot.f64 x y) 2) (+.f64 x y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (hypot.f64 x y) (/.f64 (+.f64 x y) (hypot.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 x y) (pow.f64 (hypot.f64 x y) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (hypot.f64 x y) 2) (+.f64 x y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (pow.f64 (hypot.f64 x y) 2)) (neg.f64 (+.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 (hypot.f64 x y)) (hypot.f64 x y)) (neg.f64 (+.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (hypot.f64 x y) (neg.f64 (hypot.f64 x y))) (neg.f64 (+.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (pow.f64 (hypot.f64 x y) 2) 1) (+.f64 x y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (pow.f64 (hypot.f64 x y) 2) (pow.f64 (cbrt.f64 (+.f64 x y)) 2)) (cbrt.f64 (+.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (pow.f64 (hypot.f64 x y) 2) (sqrt.f64 (+.f64 x y))) (sqrt.f64 (+.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (pow.f64 (hypot.f64 x y) 2) (+.f64 x y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (pow.f64 (hypot.f64 x y) 2) (+.f64 x y)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (pow.f64 (hypot.f64 x y) 2) (+.f64 x y))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (hypot.f64 x y) (sqrt.f64 (+.f64 x y))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (pow.f64 (hypot.f64 x y) 2) (+.f64 x y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (pow.f64 (hypot.f64 x y) 2) (+.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (pow.f64 (hypot.f64 x y) 2) (+.f64 x y)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (hypot.f64 x y) 3) (pow.f64 (/.f64 (hypot.f64 x y) (+.f64 x y)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (/.f64 (hypot.f64 x y) (+.f64 x y)) 3) (pow.f64 (hypot.f64 x y) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (pow.f64 (hypot.f64 x y) 2) (+.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (pow.f64 (hypot.f64 x y) 2) (+.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (pow.f64 (hypot.f64 x y) 2) (+.f64 x y))))))))

simplify66.0ms (1.7%)

Algorithm
1×egg-herbie
Rules
647×fma-def_binary64
628×associate-/l*_binary64
512×associate-/r*_binary64
363×associate-*r*_binary64
331×associate-+l+_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
0143933
1492831
21716622
Stop Event
1×node limit
Counts
103 → 107
Calls
Call 1
Inputs
1
(+.f64 1 (*.f64 -1 (/.f64 x y)))
(+.f64 1 (+.f64 (*.f64 3/2 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (*.f64 -1 (/.f64 x y))))
(+.f64 1 (+.f64 (*.f64 -3/2 (/.f64 (pow.f64 x 3) (pow.f64 y 3))) (+.f64 (*.f64 3/2 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (*.f64 -1 (/.f64 x y)))))
1
(+.f64 1 (*.f64 -1 (/.f64 y x)))
(-.f64 (+.f64 1 (+.f64 (*.f64 1/2 (/.f64 (pow.f64 y 2) (pow.f64 x 2))) (*.f64 -1 (/.f64 y x)))) (*.f64 -1 (/.f64 (pow.f64 y 2) (pow.f64 x 2))))
(-.f64 (+.f64 1 (+.f64 (*.f64 1/2 (/.f64 (pow.f64 y 2) (pow.f64 x 2))) (+.f64 (*.f64 -1 (/.f64 (*.f64 y (-.f64 (*.f64 1/2 (pow.f64 y 2)) (*.f64 -1 (pow.f64 y 2)))) (pow.f64 x 3))) (*.f64 -1 (/.f64 y x))))) (*.f64 -1 (/.f64 (pow.f64 y 2) (pow.f64 x 2))))
-1
(-.f64 (/.f64 y x) 1)
(-.f64 (+.f64 (/.f64 y x) (*.f64 -1/2 (/.f64 (pow.f64 y 2) (pow.f64 x 2)))) (+.f64 1 (/.f64 (pow.f64 y 2) (pow.f64 x 2))))
(-.f64 (+.f64 (/.f64 y x) (+.f64 (*.f64 -1/2 (/.f64 (pow.f64 y 2) (pow.f64 x 2))) (*.f64 -1 (/.f64 (*.f64 y (-.f64 (*.f64 -1/2 (pow.f64 y 2)) (pow.f64 y 2))) (pow.f64 x 3))))) (+.f64 1 (/.f64 (pow.f64 y 2) (pow.f64 x 2))))
1
(+.f64 1 (*.f64 -1 (/.f64 y x)))
(+.f64 1 (+.f64 (*.f64 -1 (/.f64 y x)) (*.f64 3/2 (/.f64 (pow.f64 y 2) (pow.f64 x 2)))))
(+.f64 1 (+.f64 (*.f64 -3/2 (/.f64 (pow.f64 y 3) (pow.f64 x 3))) (+.f64 (*.f64 -1 (/.f64 y x)) (*.f64 3/2 (/.f64 (pow.f64 y 2) (pow.f64 x 2))))))
1
(+.f64 1 (*.f64 -1 (/.f64 x y)))
(-.f64 (+.f64 1 (+.f64 (*.f64 1/2 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (*.f64 -1 (/.f64 x y)))) (*.f64 -1 (/.f64 (pow.f64 x 2) (pow.f64 y 2))))
(-.f64 (+.f64 (*.f64 -1 (/.f64 (*.f64 (-.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 -1 (pow.f64 x 2))) x) (pow.f64 y 3))) (+.f64 1 (+.f64 (*.f64 1/2 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (*.f64 -1 (/.f64 x y))))) (*.f64 -1 (/.f64 (pow.f64 x 2) (pow.f64 y 2))))
-1
(-.f64 (/.f64 x y) 1)
(-.f64 (+.f64 (/.f64 x y) (*.f64 -1/2 (/.f64 (pow.f64 x 2) (pow.f64 y 2)))) (+.f64 (/.f64 (pow.f64 x 2) (pow.f64 y 2)) 1))
(-.f64 (+.f64 (*.f64 -1 (/.f64 (*.f64 (-.f64 (*.f64 -1/2 (pow.f64 x 2)) (pow.f64 x 2)) x) (pow.f64 y 3))) (+.f64 (/.f64 x y) (*.f64 -1/2 (/.f64 (pow.f64 x 2) (pow.f64 y 2))))) (+.f64 (/.f64 (pow.f64 x 2) (pow.f64 y 2)) 1))
y
(+.f64 y (*.f64 -1 x))
(+.f64 (*.f64 2 (/.f64 (pow.f64 x 2) y)) (+.f64 y (*.f64 -1 x)))
(+.f64 (*.f64 -2 (/.f64 (pow.f64 x 3) (pow.f64 y 2))) (+.f64 (*.f64 2 (/.f64 (pow.f64 x 2) y)) (+.f64 y (*.f64 -1 x))))
x
(+.f64 (*.f64 -1 y) x)
(-.f64 (+.f64 (/.f64 (pow.f64 y 2) x) (+.f64 (*.f64 -1 y) x)) (*.f64 -1 (/.f64 (pow.f64 y 2) x)))
(-.f64 (+.f64 (*.f64 -1 (/.f64 (*.f64 y (-.f64 (pow.f64 y 2) (*.f64 -1 (pow.f64 y 2)))) (pow.f64 x 2))) (+.f64 (/.f64 (pow.f64 y 2) x) (+.f64 (*.f64 -1 y) x))) (*.f64 -1 (/.f64 (pow.f64 y 2) x)))
x
(+.f64 (*.f64 -1 y) x)
(+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 (pow.f64 y 2)) (pow.f64 y 2)) x)) (+.f64 (*.f64 -1 y) x))
(+.f64 (/.f64 (*.f64 y (-.f64 (*.f64 -1 (pow.f64 y 2)) (pow.f64 y 2))) (pow.f64 x 2)) (+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 (pow.f64 y 2)) (pow.f64 y 2)) x)) (+.f64 (*.f64 -1 y) x)))
x
(+.f64 (*.f64 -1 y) x)
(+.f64 (*.f64 -1 y) (+.f64 (*.f64 2 (/.f64 (pow.f64 y 2) x)) x))
(+.f64 (*.f64 -2 (/.f64 (pow.f64 y 3) (pow.f64 x 2))) (+.f64 (*.f64 -1 y) (+.f64 (*.f64 2 (/.f64 (pow.f64 y 2) x)) x)))
y
(+.f64 y (*.f64 -1 x))
(-.f64 (+.f64 y (+.f64 (*.f64 -1 x) (/.f64 (pow.f64 x 2) y))) (*.f64 -1 (/.f64 (pow.f64 x 2) y)))
(-.f64 (+.f64 (*.f64 -1 (/.f64 (*.f64 (-.f64 (pow.f64 x 2) (*.f64 -1 (pow.f64 x 2))) x) (pow.f64 y 2))) (+.f64 y (+.f64 (*.f64 -1 x) (/.f64 (pow.f64 x 2) y)))) (*.f64 -1 (/.f64 (pow.f64 x 2) y)))
y
(+.f64 y (*.f64 -1 x))
(+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 (pow.f64 x 2)) (pow.f64 x 2)) y)) (+.f64 y (*.f64 -1 x)))
(+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 (pow.f64 x 2)) (pow.f64 x 2)) y)) (+.f64 y (+.f64 (*.f64 -1 x) (/.f64 (*.f64 (-.f64 (*.f64 -1 (pow.f64 x 2)) (pow.f64 x 2)) x) (pow.f64 y 2)))))
Outputs
1
(+.f64 1 (*.f64 -1 (/.f64 x y)))
(+.f64 1 (/.f64 (neg.f64 x) y))
(-.f64 1 (/.f64 x y))
(+.f64 1 (+.f64 (*.f64 3/2 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (*.f64 -1 (/.f64 x y))))
(+.f64 1 (fma.f64 3/2 (/.f64 (*.f64 x x) (*.f64 y y)) (/.f64 (neg.f64 x) y)))
(+.f64 1 (fma.f64 3/2 (*.f64 (/.f64 x y) (/.f64 x y)) (/.f64 (neg.f64 x) y)))
(fma.f64 3/2 (*.f64 (/.f64 x y) (/.f64 x y)) (-.f64 1 (/.f64 x y)))
(+.f64 1 (+.f64 (*.f64 -3/2 (/.f64 (pow.f64 x 3) (pow.f64 y 3))) (+.f64 (*.f64 3/2 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (*.f64 -1 (/.f64 x y)))))
(+.f64 1 (fma.f64 -3/2 (/.f64 (pow.f64 x 3) (pow.f64 y 3)) (fma.f64 3/2 (/.f64 (*.f64 x x) (*.f64 y y)) (/.f64 (neg.f64 x) y))))
(+.f64 1 (fma.f64 -3/2 (/.f64 (pow.f64 x 3) (pow.f64 y 3)) (fma.f64 3/2 (*.f64 (/.f64 x y) (/.f64 x y)) (/.f64 (neg.f64 x) y))))
(fma.f64 -3/2 (pow.f64 (/.f64 x y) 3) (fma.f64 3/2 (*.f64 (/.f64 x y) (/.f64 x y)) (-.f64 1 (/.f64 x y))))
1
(+.f64 1 (*.f64 -1 (/.f64 y x)))
(+.f64 1 (/.f64 (neg.f64 y) x))
(-.f64 1 (/.f64 y x))
(-.f64 (+.f64 1 (+.f64 (*.f64 1/2 (/.f64 (pow.f64 y 2) (pow.f64 x 2))) (*.f64 -1 (/.f64 y x)))) (*.f64 -1 (/.f64 (pow.f64 y 2) (pow.f64 x 2))))
(+.f64 1 (-.f64 (fma.f64 1/2 (/.f64 (*.f64 y y) (*.f64 x x)) (/.f64 (neg.f64 y) x)) (/.f64 (neg.f64 (*.f64 y y)) (*.f64 x x))))
(+.f64 (*.f64 (/.f64 y x) (/.f64 y x)) (+.f64 (-.f64 1 (/.f64 y x)) (*.f64 (/.f64 (*.f64 y y) x) (/.f64 1/2 x))))
(-.f64 (fma.f64 3/2 (*.f64 (/.f64 y x) (/.f64 y x)) 1) (/.f64 y x))
(-.f64 (+.f64 1 (+.f64 (*.f64 1/2 (/.f64 (pow.f64 y 2) (pow.f64 x 2))) (+.f64 (*.f64 -1 (/.f64 (*.f64 y (-.f64 (*.f64 1/2 (pow.f64 y 2)) (*.f64 -1 (pow.f64 y 2)))) (pow.f64 x 3))) (*.f64 -1 (/.f64 y x))))) (*.f64 -1 (/.f64 (pow.f64 y 2) (pow.f64 x 2))))
(+.f64 1 (-.f64 (fma.f64 1/2 (/.f64 (*.f64 y y) (*.f64 x x)) (*.f64 -1 (+.f64 (/.f64 (*.f64 y (*.f64 (*.f64 y y) 3/2)) (pow.f64 x 3)) (/.f64 y x)))) (/.f64 (neg.f64 (*.f64 y y)) (*.f64 x x))))
(+.f64 (-.f64 (-.f64 (*.f64 (/.f64 (*.f64 y y) x) (/.f64 1/2 x)) (/.f64 (*.f64 (pow.f64 y 3) 3/2) (pow.f64 x 3))) (/.f64 y x)) (+.f64 1 (*.f64 (/.f64 y x) (/.f64 y x))))
(fma.f64 -3/2 (pow.f64 (/.f64 y x) 3) (-.f64 (fma.f64 3/2 (*.f64 (/.f64 y x) (/.f64 y x)) 1) (/.f64 y x)))
-1
(-.f64 (/.f64 y x) 1)
(+.f64 (/.f64 y x) -1)
(+.f64 -1 (/.f64 y x))
(-.f64 (+.f64 (/.f64 y x) (*.f64 -1/2 (/.f64 (pow.f64 y 2) (pow.f64 x 2)))) (+.f64 1 (/.f64 (pow.f64 y 2) (pow.f64 x 2))))
(+.f64 (/.f64 y x) (-.f64 (*.f64 (/.f64 (*.f64 y y) (*.f64 x x)) -1/2) (+.f64 1 (/.f64 (*.f64 y y) (*.f64 x x)))))
(-.f64 (fma.f64 (*.f64 (/.f64 y x) (/.f64 y x)) -1/2 (/.f64 y x)) (+.f64 1 (*.f64 (/.f64 y x) (/.f64 y x))))
(-.f64 (*.f64 (*.f64 (/.f64 y x) (/.f64 y x)) -3/2) (-.f64 1 (/.f64 y x)))
(-.f64 (+.f64 (/.f64 y x) (+.f64 (*.f64 -1/2 (/.f64 (pow.f64 y 2) (pow.f64 x 2))) (*.f64 -1 (/.f64 (*.f64 y (-.f64 (*.f64 -1/2 (pow.f64 y 2)) (pow.f64 y 2))) (pow.f64 x 3))))) (+.f64 1 (/.f64 (pow.f64 y 2) (pow.f64 x 2))))
(+.f64 (/.f64 y x) (-.f64 (fma.f64 -1/2 (/.f64 (*.f64 y y) (*.f64 x x)) (neg.f64 (/.f64 (*.f64 y (-.f64 (*.f64 (*.f64 y y) -1/2) (*.f64 y y))) (pow.f64 x 3)))) (+.f64 1 (/.f64 (*.f64 y y) (*.f64 x x)))))
(-.f64 (-.f64 (fma.f64 (*.f64 (/.f64 y x) (/.f64 y x)) -1/2 (/.f64 y x)) (*.f64 (/.f64 y (pow.f64 x 3)) (*.f64 (*.f64 y y) -3/2))) (+.f64 1 (*.f64 (/.f64 y x) (/.f64 y x))))
(+.f64 (/.f64 y x) (+.f64 (+.f64 (*.f64 3/2 (pow.f64 (/.f64 y x) 3)) (*.f64 (*.f64 (/.f64 y x) (/.f64 y x)) -3/2)) -1))
1
(+.f64 1 (*.f64 -1 (/.f64 y x)))
(+.f64 1 (/.f64 (neg.f64 y) x))
(-.f64 1 (/.f64 y x))
(+.f64 1 (+.f64 (*.f64 -1 (/.f64 y x)) (*.f64 3/2 (/.f64 (pow.f64 y 2) (pow.f64 x 2)))))
(+.f64 1 (-.f64 (fma.f64 1/2 (/.f64 (*.f64 y y) (*.f64 x x)) (/.f64 (neg.f64 y) x)) (/.f64 (neg.f64 (*.f64 y y)) (*.f64 x x))))
(+.f64 (*.f64 (/.f64 y x) (/.f64 y x)) (+.f64 (-.f64 1 (/.f64 y x)) (*.f64 (/.f64 (*.f64 y y) x) (/.f64 1/2 x))))
(-.f64 (fma.f64 3/2 (*.f64 (/.f64 y x) (/.f64 y x)) 1) (/.f64 y x))
(+.f64 1 (+.f64 (*.f64 -3/2 (/.f64 (pow.f64 y 3) (pow.f64 x 3))) (+.f64 (*.f64 -1 (/.f64 y x)) (*.f64 3/2 (/.f64 (pow.f64 y 2) (pow.f64 x 2))))))
(+.f64 1 (-.f64 (fma.f64 1/2 (/.f64 (*.f64 y y) (*.f64 x x)) (*.f64 -1 (+.f64 (/.f64 (*.f64 y (*.f64 (*.f64 y y) 3/2)) (pow.f64 x 3)) (/.f64 y x)))) (/.f64 (neg.f64 (*.f64 y y)) (*.f64 x x))))
(+.f64 (-.f64 (-.f64 (*.f64 (/.f64 (*.f64 y y) x) (/.f64 1/2 x)) (/.f64 (*.f64 (pow.f64 y 3) 3/2) (pow.f64 x 3))) (/.f64 y x)) (+.f64 1 (*.f64 (/.f64 y x) (/.f64 y x))))
(fma.f64 -3/2 (pow.f64 (/.f64 y x) 3) (-.f64 (fma.f64 3/2 (*.f64 (/.f64 y x) (/.f64 y x)) 1) (/.f64 y x)))
1
(+.f64 1 (*.f64 -1 (/.f64 x y)))
(+.f64 1 (/.f64 (neg.f64 x) y))
(-.f64 1 (/.f64 x y))
(-.f64 (+.f64 1 (+.f64 (*.f64 1/2 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (*.f64 -1 (/.f64 x y)))) (*.f64 -1 (/.f64 (pow.f64 x 2) (pow.f64 y 2))))
(+.f64 1 (fma.f64 3/2 (/.f64 (*.f64 x x) (*.f64 y y)) (/.f64 (neg.f64 x) y)))
(+.f64 1 (fma.f64 3/2 (*.f64 (/.f64 x y) (/.f64 x y)) (/.f64 (neg.f64 x) y)))
(fma.f64 3/2 (*.f64 (/.f64 x y) (/.f64 x y)) (-.f64 1 (/.f64 x y)))
(-.f64 (+.f64 (*.f64 -1 (/.f64 (*.f64 (-.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 -1 (pow.f64 x 2))) x) (pow.f64 y 3))) (+.f64 1 (+.f64 (*.f64 1/2 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (*.f64 -1 (/.f64 x y))))) (*.f64 -1 (/.f64 (pow.f64 x 2) (pow.f64 y 2))))
(+.f64 1 (fma.f64 -3/2 (/.f64 (pow.f64 x 3) (pow.f64 y 3)) (fma.f64 3/2 (/.f64 (*.f64 x x) (*.f64 y y)) (/.f64 (neg.f64 x) y))))
(+.f64 1 (fma.f64 -3/2 (/.f64 (pow.f64 x 3) (pow.f64 y 3)) (fma.f64 3/2 (*.f64 (/.f64 x y) (/.f64 x y)) (/.f64 (neg.f64 x) y))))
(fma.f64 -3/2 (pow.f64 (/.f64 x y) 3) (fma.f64 3/2 (*.f64 (/.f64 x y) (/.f64 x y)) (-.f64 1 (/.f64 x y))))
-1
(-.f64 (/.f64 x y) 1)
(+.f64 (/.f64 x y) -1)
(+.f64 -1 (/.f64 x y))
(-.f64 (+.f64 (/.f64 x y) (*.f64 -1/2 (/.f64 (pow.f64 x 2) (pow.f64 y 2)))) (+.f64 (/.f64 (pow.f64 x 2) (pow.f64 y 2)) 1))
(+.f64 (/.f64 x y) (-.f64 (*.f64 (/.f64 (*.f64 x x) (*.f64 y y)) -1/2) (+.f64 1 (/.f64 (*.f64 x x) (*.f64 y y)))))
(+.f64 (-.f64 (fma.f64 (*.f64 (/.f64 x y) (/.f64 x y)) -1/2 (/.f64 x y)) (*.f64 (/.f64 x y) (/.f64 x y))) -1)
(+.f64 (/.f64 x y) (+.f64 (*.f64 (*.f64 (/.f64 x y) (/.f64 x y)) -3/2) -1))
(-.f64 (+.f64 (*.f64 -1 (/.f64 (*.f64 (-.f64 (*.f64 -1/2 (pow.f64 x 2)) (pow.f64 x 2)) x) (pow.f64 y 3))) (+.f64 (/.f64 x y) (*.f64 -1/2 (/.f64 (pow.f64 x 2) (pow.f64 y 2))))) (+.f64 (/.f64 (pow.f64 x 2) (pow.f64 y 2)) 1))
(-.f64 (fma.f64 -1 (/.f64 (-.f64 (*.f64 (*.f64 x x) -1/2) (*.f64 x x)) (/.f64 (pow.f64 y 3) x)) (+.f64 (/.f64 x y) (*.f64 (/.f64 (*.f64 x x) (*.f64 y y)) -1/2))) (+.f64 1 (/.f64 (*.f64 x x) (*.f64 y y))))
(+.f64 (-.f64 (-.f64 (fma.f64 (*.f64 (/.f64 x y) (/.f64 x y)) -1/2 (/.f64 x y)) (/.f64 (*.f64 (*.f64 x x) -3/2) (/.f64 (pow.f64 y 3) x))) (*.f64 (/.f64 x y) (/.f64 x y))) -1)
(-.f64 (+.f64 (/.f64 x y) (*.f64 (*.f64 (/.f64 x y) (/.f64 x y)) -3/2)) (fma.f64 -3/2 (pow.f64 (/.f64 x y) 3) 1))
y
(+.f64 y (*.f64 -1 x))
(+.f64 y (neg.f64 x))
(-.f64 y x)
(+.f64 (*.f64 2 (/.f64 (pow.f64 x 2) y)) (+.f64 y (*.f64 -1 x)))
(fma.f64 2 (/.f64 (*.f64 x x) y) (+.f64 y (neg.f64 x)))
(fma.f64 2 (/.f64 x (/.f64 y x)) (-.f64 y x))
(-.f64 (fma.f64 2 (*.f64 (/.f64 x y) x) y) x)
(+.f64 (*.f64 -2 (/.f64 (pow.f64 x 3) (pow.f64 y 2))) (+.f64 (*.f64 2 (/.f64 (pow.f64 x 2) y)) (+.f64 y (*.f64 -1 x))))
(fma.f64 -2 (/.f64 (pow.f64 x 3) (*.f64 y y)) (fma.f64 2 (/.f64 (*.f64 x x) y) (+.f64 y (neg.f64 x))))
(fma.f64 -2 (/.f64 (pow.f64 x 3) (*.f64 y y)) (fma.f64 2 (/.f64 x (/.f64 y x)) (-.f64 y x)))
(+.f64 y (-.f64 (*.f64 (*.f64 (*.f64 (/.f64 x y) x) -2) (+.f64 -1 (/.f64 x y))) x))
x
(+.f64 (*.f64 -1 y) x)
(fma.f64 -1 y x)
(-.f64 x y)
(-.f64 (+.f64 (/.f64 (pow.f64 y 2) x) (+.f64 (*.f64 -1 y) x)) (*.f64 -1 (/.f64 (pow.f64 y 2) x)))
(-.f64 (+.f64 (fma.f64 -1 y x) (/.f64 (*.f64 y y) x)) (neg.f64 (/.f64 (*.f64 y y) x)))
(+.f64 (-.f64 x y) (+.f64 (/.f64 (*.f64 y y) x) (/.f64 (*.f64 y y) x)))
(fma.f64 2 (/.f64 y (/.f64 x y)) (-.f64 x y))
(-.f64 (+.f64 (*.f64 -1 (/.f64 (*.f64 y (-.f64 (pow.f64 y 2) (*.f64 -1 (pow.f64 y 2)))) (pow.f64 x 2))) (+.f64 (/.f64 (pow.f64 y 2) x) (+.f64 (*.f64 -1 y) x))) (*.f64 -1 (/.f64 (pow.f64 y 2) x)))
(-.f64 (fma.f64 -1 (/.f64 y (/.f64 (*.f64 x x) (-.f64 (*.f64 y y) (neg.f64 (*.f64 y y))))) (+.f64 (fma.f64 -1 y x) (/.f64 (*.f64 y y) x))) (neg.f64 (/.f64 (*.f64 y y) x)))
(+.f64 (/.f64 (*.f64 y y) x) (-.f64 (+.f64 x (-.f64 (/.f64 (*.f64 y y) x) y)) (/.f64 (+.f64 (pow.f64 y 3) (pow.f64 y 3)) (*.f64 x x))))
(+.f64 x (-.f64 (*.f64 (*.f64 (/.f64 y (/.f64 x y)) -2) (+.f64 -1 (/.f64 y x))) y))
x
(+.f64 (*.f64 -1 y) x)
(fma.f64 -1 y x)
(-.f64 x y)
(+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 (pow.f64 y 2)) (pow.f64 y 2)) x)) (+.f64 (*.f64 -1 y) x))
(-.f64 (+.f64 (fma.f64 -1 y x) (/.f64 (*.f64 y y) x)) (neg.f64 (/.f64 (*.f64 y y) x)))
(+.f64 (-.f64 x y) (+.f64 (/.f64 (*.f64 y y) x) (/.f64 (*.f64 y y) x)))
(fma.f64 2 (/.f64 y (/.f64 x y)) (-.f64 x y))
(+.f64 (/.f64 (*.f64 y (-.f64 (*.f64 -1 (pow.f64 y 2)) (pow.f64 y 2))) (pow.f64 x 2)) (+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 (pow.f64 y 2)) (pow.f64 y 2)) x)) (+.f64 (*.f64 -1 y) x)))
(-.f64 (fma.f64 -1 (/.f64 y (/.f64 (*.f64 x x) (-.f64 (*.f64 y y) (neg.f64 (*.f64 y y))))) (+.f64 (fma.f64 -1 y x) (/.f64 (*.f64 y y) x))) (neg.f64 (/.f64 (*.f64 y y) x)))
(+.f64 (/.f64 (*.f64 y y) x) (-.f64 (+.f64 x (-.f64 (/.f64 (*.f64 y y) x) y)) (/.f64 (+.f64 (pow.f64 y 3) (pow.f64 y 3)) (*.f64 x x))))
(+.f64 x (-.f64 (*.f64 (*.f64 (/.f64 y (/.f64 x y)) -2) (+.f64 -1 (/.f64 y x))) y))
x
(+.f64 (*.f64 -1 y) x)
(fma.f64 -1 y x)
(-.f64 x y)
(+.f64 (*.f64 -1 y) (+.f64 (*.f64 2 (/.f64 (pow.f64 y 2) x)) x))
(-.f64 (+.f64 (fma.f64 -1 y x) (/.f64 (*.f64 y y) x)) (neg.f64 (/.f64 (*.f64 y y) x)))
(+.f64 (-.f64 x y) (+.f64 (/.f64 (*.f64 y y) x) (/.f64 (*.f64 y y) x)))
(fma.f64 2 (/.f64 y (/.f64 x y)) (-.f64 x y))
(+.f64 (*.f64 -2 (/.f64 (pow.f64 y 3) (pow.f64 x 2))) (+.f64 (*.f64 -1 y) (+.f64 (*.f64 2 (/.f64 (pow.f64 y 2) x)) x)))
(-.f64 (fma.f64 -1 (/.f64 y (/.f64 (*.f64 x x) (-.f64 (*.f64 y y) (neg.f64 (*.f64 y y))))) (+.f64 (fma.f64 -1 y x) (/.f64 (*.f64 y y) x))) (neg.f64 (/.f64 (*.f64 y y) x)))
(+.f64 (/.f64 (*.f64 y y) x) (-.f64 (+.f64 x (-.f64 (/.f64 (*.f64 y y) x) y)) (/.f64 (+.f64 (pow.f64 y 3) (pow.f64 y 3)) (*.f64 x x))))
(+.f64 x (-.f64 (*.f64 (*.f64 (/.f64 y (/.f64 x y)) -2) (+.f64 -1 (/.f64 y x))) y))
y
(+.f64 y (*.f64 -1 x))
(+.f64 y (neg.f64 x))
(-.f64 y x)
(-.f64 (+.f64 y (+.f64 (*.f64 -1 x) (/.f64 (pow.f64 x 2) y))) (*.f64 -1 (/.f64 (pow.f64 x 2) y)))
(fma.f64 2 (/.f64 (*.f64 x x) y) (+.f64 y (neg.f64 x)))
(fma.f64 2 (/.f64 x (/.f64 y x)) (-.f64 y x))
(-.f64 (fma.f64 2 (*.f64 (/.f64 x y) x) y) x)
(-.f64 (+.f64 (*.f64 -1 (/.f64 (*.f64 (-.f64 (pow.f64 x 2) (*.f64 -1 (pow.f64 x 2))) x) (pow.f64 y 2))) (+.f64 y (+.f64 (*.f64 -1 x) (/.f64 (pow.f64 x 2) y)))) (*.f64 -1 (/.f64 (pow.f64 x 2) y)))
(fma.f64 -2 (/.f64 (pow.f64 x 3) (*.f64 y y)) (fma.f64 2 (/.f64 (*.f64 x x) y) (+.f64 y (neg.f64 x))))
(fma.f64 -2 (/.f64 (pow.f64 x 3) (*.f64 y y)) (fma.f64 2 (/.f64 x (/.f64 y x)) (-.f64 y x)))
(+.f64 y (-.f64 (*.f64 (*.f64 (*.f64 (/.f64 x y) x) -2) (+.f64 -1 (/.f64 x y))) x))
y
(+.f64 y (*.f64 -1 x))
(+.f64 y (neg.f64 x))
(-.f64 y x)
(+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 (pow.f64 x 2)) (pow.f64 x 2)) y)) (+.f64 y (*.f64 -1 x)))
(fma.f64 2 (/.f64 (*.f64 x x) y) (+.f64 y (neg.f64 x)))
(fma.f64 2 (/.f64 x (/.f64 y x)) (-.f64 y x))
(-.f64 (fma.f64 2 (*.f64 (/.f64 x y) x) y) x)
(+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 (pow.f64 x 2)) (pow.f64 x 2)) y)) (+.f64 y (+.f64 (*.f64 -1 x) (/.f64 (*.f64 (-.f64 (*.f64 -1 (pow.f64 x 2)) (pow.f64 x 2)) x) (pow.f64 y 2)))))
(fma.f64 -2 (/.f64 (pow.f64 x 3) (*.f64 y y)) (fma.f64 2 (/.f64 (*.f64 x x) y) (+.f64 y (neg.f64 x))))
(fma.f64 -2 (/.f64 (pow.f64 x 3) (*.f64 y y)) (fma.f64 2 (/.f64 x (/.f64 y x)) (-.f64 y x)))
(+.f64 y (-.f64 (*.f64 (*.f64 (*.f64 (/.f64 x y) x) -2) (+.f64 -1 (/.f64 x y))) x))

prune231.0ms (5.8%)

Pruning

2 alts after pruning (0 fresh and 2 done)

PrunedKeptTotal
New1070107
Fresh000
Picked011
Done011
Total1072109
Error
0b
Counts
109 → 2
Alt Table
StatusErrorProgram
✓0.0b
(*.f64 (/.f64 (+.f64 x y) (hypot.f64 x y)) (/.f64 (-.f64 x y) (hypot.f64 x y)))
✓0.0b
(/.f64 (-.f64 x y) (*.f64 (hypot.f64 x y) (/.f64 (hypot.f64 x y) (+.f64 x y))))
Compiler

Compiled 2339 to 1009 computations (56.9% saved)

regimes15.0ms (0.4%)

Accuracy

Total -48.2b remaining (-477682.5%)

Threshold costs -48.2b (-477682.5%)

Counts
5 → 1
Calls
Call 1
Inputs
(/.f64 (-.f64 x y) (*.f64 (hypot.f64 x y) (/.f64 (hypot.f64 x y) (+.f64 x y))))
(*.f64 (/.f64 (+.f64 x y) (hypot.f64 x y)) (/.f64 (-.f64 x y) (hypot.f64 x y)))
1
(*.f64 (+.f64 x y) (/.f64 (-.f64 x y) (fma.f64 x x (*.f64 y y))))
(/.f64 (*.f64 (-.f64 x y) (+.f64 x y)) (+.f64 (*.f64 x x) (*.f64 y y)))
Outputs
(/.f64 (-.f64 x y) (*.f64 (hypot.f64 x y) (/.f64 (hypot.f64 x y) (+.f64 x y))))
Results
4.0ms0.0bx
4.0ms0.0by
2.0ms0.0b(/.f64 (*.f64 (-.f64 x y) (+.f64 x y)) (+.f64 (*.f64 x x) (*.f64 y y)))
2.0ms0.0b(/.f64 (*.f64 (-.f64 x y) (+.f64 x y)) (+.f64 (*.f64 x x) (*.f64 y y)))
Compiler

Compiled 102 to 42 computations (58.8% saved)

simplify3.0ms (0.1%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
0922
11322
21822
32022
42122
Stop Event
1×saturated
Calls
Call 1
Inputs
(/.f64 (-.f64 x y) (*.f64 (hypot.f64 x y) (/.f64 (hypot.f64 x y) (+.f64 x y))))
Outputs
(/.f64 (-.f64 x y) (*.f64 (hypot.f64 x y) (/.f64 (hypot.f64 x y) (+.f64 x y))))

end17.0ms (0.4%)

Stop Event
1×done
Compiler

Compiled 34 to 16 computations (52.9% saved)

Profiling

Loading profile data...