Complex division, real part

Time bar (total: 9.5s)

analyze25.0ms (0.3%)

Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%99.8%0.2%0%0%0%0
0%0%99.8%0.2%0%0%0%1
0%0%99.8%0.2%0%0%0%2
0%0%99.8%0.2%0%0%0%3
0%0%99.8%0.2%0%0%0%4
75%74.9%25%0.2%0%0%0%5
75%74.9%25%0.2%0%0%0%6
75%74.9%25%0.2%0%0%0%7
87.5%87.3%12.5%0.2%0%0%0%8
93.8%93.6%6.2%0.2%0%0%0%9
93.8%93.6%6.2%0.2%0%0%0%10
93.8%93.6%6.2%0.2%0%0%0%11
96.9%96.7%3.1%0.2%0%0%0%12
Compiler

Compiled 20 to 12 computations (40% saved)

sample1.0s (10.8%)

Results
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Bogosity

preprocess513.0ms (5.4%)

Algorithm
egg-herbie
Rules
3146×fma-neg
1824×fma-define
1728×times-frac
1104×div-sub
666×unsub-neg
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
1070-2(-1.685891763179883 -2.6946743772687636e-198 -3.5364017115052555e-273 3.352154176961293e-162)(/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) (+.f64 (*.f64 c c) (*.f64 d d)))
30-0-(+.f64 (*.f64 a c) (*.f64 b d))
00-0-b
00-0-(*.f64 b d)
00-0-c
00-0-(*.f64 a c)
00-0-d
00-0-(*.f64 c c)
00-0-(*.f64 d d)
00-0-(+.f64 (*.f64 c c) (*.f64 d d))
00-0-a
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
070976
1162976
2263976
3486976
41176976
53121976
64441976
75612976
86468976
96875976
107003976
117173976
127627976
137627976
147627976
157627976
167987976
Stop Event
node limit
Calls
Call 1
Inputs
(/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) (+.f64 (*.f64 c c) (*.f64 d d)))
(/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) (+.f64 (*.f64 c c) (*.f64 d d)))
(/.f64 (+.f64 (*.f64 (neg.f64 a) c) (*.f64 b d)) (+.f64 (*.f64 c c) (*.f64 d d)))
(/.f64 (+.f64 (*.f64 a c) (*.f64 (neg.f64 b) d)) (+.f64 (*.f64 c c) (*.f64 d d)))
(/.f64 (+.f64 (*.f64 a (neg.f64 c)) (*.f64 b d)) (+.f64 (*.f64 (neg.f64 c) (neg.f64 c)) (*.f64 d d)))
(/.f64 (+.f64 (*.f64 a c) (*.f64 b (neg.f64 d))) (+.f64 (*.f64 c c) (*.f64 (neg.f64 d) (neg.f64 d))))
(neg.f64 (/.f64 (+.f64 (*.f64 (neg.f64 a) c) (*.f64 b d)) (+.f64 (*.f64 c c) (*.f64 d d))))
(neg.f64 (/.f64 (+.f64 (*.f64 a c) (*.f64 (neg.f64 b) d)) (+.f64 (*.f64 c c) (*.f64 d d))))
(neg.f64 (/.f64 (+.f64 (*.f64 a (neg.f64 c)) (*.f64 b d)) (+.f64 (*.f64 (neg.f64 c) (neg.f64 c)) (*.f64 d d))))
(neg.f64 (/.f64 (+.f64 (*.f64 a c) (*.f64 b (neg.f64 d))) (+.f64 (*.f64 c c) (*.f64 (neg.f64 d) (neg.f64 d)))))
(/.f64 (+.f64 (*.f64 b c) (*.f64 a d)) (+.f64 (*.f64 c c) (*.f64 d d)))
(/.f64 (+.f64 (*.f64 c a) (*.f64 b d)) (+.f64 (*.f64 a a) (*.f64 d d)))
(/.f64 (+.f64 (*.f64 d c) (*.f64 b a)) (+.f64 (*.f64 c c) (*.f64 a a)))
(/.f64 (+.f64 (*.f64 a b) (*.f64 c d)) (+.f64 (*.f64 b b) (*.f64 d d)))
(/.f64 (+.f64 (*.f64 a c) (*.f64 d b)) (+.f64 (*.f64 c c) (*.f64 b b)))
(/.f64 (+.f64 (*.f64 a d) (*.f64 b c)) (+.f64 (*.f64 d d) (*.f64 c c)))
Outputs
(/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) (+.f64 (*.f64 c c) (*.f64 d d)))
(/.f64 (fma.f64 a c (*.f64 b d)) (fma.f64 c c (*.f64 d d)))
(/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) (+.f64 (*.f64 c c) (*.f64 d d)))
(/.f64 (fma.f64 a c (*.f64 b d)) (fma.f64 c c (*.f64 d d)))
(/.f64 (+.f64 (*.f64 (neg.f64 a) c) (*.f64 b d)) (+.f64 (*.f64 c c) (*.f64 d d)))
(/.f64 (fma.f64 a (neg.f64 c) (*.f64 b d)) (fma.f64 c c (*.f64 d d)))
(/.f64 (-.f64 (*.f64 b d) (*.f64 a c)) (fma.f64 c c (*.f64 d d)))
(/.f64 (+.f64 (*.f64 a c) (*.f64 (neg.f64 b) d)) (+.f64 (*.f64 c c) (*.f64 d d)))
(/.f64 (fma.f64 a c (*.f64 b (neg.f64 d))) (fma.f64 c c (*.f64 d d)))
(/.f64 (-.f64 (*.f64 a c) (*.f64 b d)) (fma.f64 c c (*.f64 d d)))
(/.f64 (+.f64 (*.f64 a (neg.f64 c)) (*.f64 b d)) (+.f64 (*.f64 (neg.f64 c) (neg.f64 c)) (*.f64 d d)))
(/.f64 (fma.f64 a (neg.f64 c) (*.f64 b d)) (fma.f64 c c (*.f64 d d)))
(/.f64 (-.f64 (*.f64 b d) (*.f64 a c)) (fma.f64 c c (*.f64 d d)))
(/.f64 (+.f64 (*.f64 a c) (*.f64 b (neg.f64 d))) (+.f64 (*.f64 c c) (*.f64 (neg.f64 d) (neg.f64 d))))
(/.f64 (fma.f64 a c (*.f64 b (neg.f64 d))) (fma.f64 c c (*.f64 d d)))
(/.f64 (-.f64 (*.f64 a c) (*.f64 b d)) (fma.f64 c c (*.f64 d d)))
(neg.f64 (/.f64 (+.f64 (*.f64 (neg.f64 a) c) (*.f64 b d)) (+.f64 (*.f64 c c) (*.f64 d d))))
(/.f64 (fma.f64 a c (*.f64 b (neg.f64 d))) (fma.f64 c c (*.f64 d d)))
(/.f64 (-.f64 (*.f64 a c) (*.f64 b d)) (fma.f64 c c (*.f64 d d)))
(neg.f64 (/.f64 (+.f64 (*.f64 a c) (*.f64 (neg.f64 b) d)) (+.f64 (*.f64 c c) (*.f64 d d))))
(/.f64 (fma.f64 a (neg.f64 c) (*.f64 b d)) (fma.f64 c c (*.f64 d d)))
(/.f64 (-.f64 (*.f64 b d) (*.f64 a c)) (fma.f64 c c (*.f64 d d)))
(neg.f64 (/.f64 (+.f64 (*.f64 a (neg.f64 c)) (*.f64 b d)) (+.f64 (*.f64 (neg.f64 c) (neg.f64 c)) (*.f64 d d))))
(/.f64 (fma.f64 a c (*.f64 b (neg.f64 d))) (fma.f64 c c (*.f64 d d)))
(/.f64 (-.f64 (*.f64 a c) (*.f64 b d)) (fma.f64 c c (*.f64 d d)))
(neg.f64 (/.f64 (+.f64 (*.f64 a c) (*.f64 b (neg.f64 d))) (+.f64 (*.f64 c c) (*.f64 (neg.f64 d) (neg.f64 d)))))
(/.f64 (fma.f64 a (neg.f64 c) (*.f64 b d)) (fma.f64 c c (*.f64 d d)))
(/.f64 (-.f64 (*.f64 b d) (*.f64 a c)) (fma.f64 c c (*.f64 d d)))
(/.f64 (+.f64 (*.f64 b c) (*.f64 a d)) (+.f64 (*.f64 c c) (*.f64 d d)))
(/.f64 (fma.f64 a d (*.f64 c b)) (fma.f64 c c (*.f64 d d)))
(/.f64 (fma.f64 c b (*.f64 a d)) (fma.f64 c c (*.f64 d d)))
(/.f64 (+.f64 (*.f64 c a) (*.f64 b d)) (+.f64 (*.f64 a a) (*.f64 d d)))
(/.f64 (fma.f64 a c (*.f64 b d)) (fma.f64 a a (*.f64 d d)))
(/.f64 (fma.f64 a c (*.f64 b d)) (fma.f64 d d (*.f64 a a)))
(/.f64 (+.f64 (*.f64 d c) (*.f64 b a)) (+.f64 (*.f64 c c) (*.f64 a a)))
(/.f64 (fma.f64 a b (*.f64 c d)) (fma.f64 c c (*.f64 a a)))
(/.f64 (fma.f64 a b (*.f64 c d)) (fma.f64 a a (*.f64 c c)))
(/.f64 (+.f64 (*.f64 a b) (*.f64 c d)) (+.f64 (*.f64 b b) (*.f64 d d)))
(/.f64 (fma.f64 a b (*.f64 c d)) (fma.f64 b b (*.f64 d d)))
(/.f64 (fma.f64 a b (*.f64 c d)) (fma.f64 d d (*.f64 b b)))
(/.f64 (+.f64 (*.f64 a c) (*.f64 d b)) (+.f64 (*.f64 c c) (*.f64 b b)))
(/.f64 (fma.f64 a c (*.f64 b d)) (fma.f64 c c (*.f64 b b)))
(/.f64 (+.f64 (*.f64 a d) (*.f64 b c)) (+.f64 (*.f64 d d) (*.f64 c c)))
(/.f64 (fma.f64 a d (*.f64 c b)) (fma.f64 c c (*.f64 d d)))
(/.f64 (fma.f64 c b (*.f64 a d)) (fma.f64 c c (*.f64 d d)))
Compiler

Compiled 119 to 35 computations (70.6% saved)

eval0.0ms (0%)

Compiler

Compiled 17 to 9 computations (47.1% saved)

prune1.0ms (0%)

Alt Table
Click to see full alt table
StatusAccuracyProgram
59.6%
(/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) (+.f64 (*.f64 c c) (*.f64 d d)))
Compiler

Compiled 19 to 11 computations (42.1% saved)

localize47.0ms (0.5%)

Localize:

Found 2 expressions with local error:

NewAccuracyProgram
98.9%
(+.f64 (*.f64 a c) (*.f64 b d))
59.9%
(/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) (+.f64 (*.f64 c c) (*.f64 d d)))
Compiler

Compiled 50 to 12 computations (76% saved)

series26.0ms (0.3%)

Counts
2 → 60
Calls

24 calls:

TimeVariablePointExpression
6.0ms
a
@0
(/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) (+.f64 (*.f64 c c) (*.f64 d d)))
2.0ms
b
@inf
(/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) (+.f64 (*.f64 c c) (*.f64 d d)))
1.0ms
a
@-inf
(/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) (+.f64 (*.f64 c c) (*.f64 d d)))
1.0ms
b
@0
(/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) (+.f64 (*.f64 c c) (*.f64 d d)))
1.0ms
b
@-inf
(/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) (+.f64 (*.f64 c c) (*.f64 d d)))

rewrite435.0ms (4.6%)

Algorithm
batch-egg-rewrite
Rules
1006×fma-define
819×log1p-expm1-u
819×expm1-log1p-u
482×fma-neg
436×expm1-undefine
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01883
125478
2354378
Stop Event
node limit
Counts
2 → 103
Calls
Call 1
Inputs
(/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) (+.f64 (*.f64 c c) (*.f64 d d)))
(+.f64 (*.f64 a c) (*.f64 b d))
Outputs
(-.f64 (exp.f64 (log1p.f64 (/.f64 (fma.f64 a c (*.f64 b d)) (pow.f64 (hypot.f64 c d) 2)))) 1)
(*.f64 (fma.f64 a c (*.f64 b d)) (/.f64 1 (pow.f64 (hypot.f64 c d) 2)))
(*.f64 (/.f64 (fma.f64 a c (*.f64 b d)) (pow.f64 (hypot.f64 c d) 2)) 1)
(*.f64 1 (/.f64 (fma.f64 a c (*.f64 b d)) (pow.f64 (hypot.f64 c d) 2)))
(*.f64 (cbrt.f64 (/.f64 (fma.f64 a c (*.f64 b d)) (pow.f64 (hypot.f64 c d) 2))) (pow.f64 (cbrt.f64 (/.f64 (fma.f64 a c (*.f64 b d)) (pow.f64 (hypot.f64 c d) 2))) 2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (fma.f64 a c (*.f64 b d)) (pow.f64 (hypot.f64 c d) 2))) 2) (cbrt.f64 (/.f64 (fma.f64 a c (*.f64 b d)) (pow.f64 (hypot.f64 c d) 2))))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 a c (*.f64 b d))) 2) (/.f64 (cbrt.f64 (fma.f64 a c (*.f64 b d))) (pow.f64 (hypot.f64 c d) 2)))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 a c (*.f64 b d))) 2) (*.f64 (cbrt.f64 (fma.f64 a c (*.f64 b d))) (/.f64 1 (pow.f64 (hypot.f64 c d) 2))))
(*.f64 (/.f64 (sqrt.f64 (fma.f64 a c (*.f64 b d))) (hypot.f64 c d)) (/.f64 (sqrt.f64 (fma.f64 a c (*.f64 b d))) (hypot.f64 c d)))
(*.f64 (sqrt.f64 (fma.f64 a c (*.f64 b d))) (/.f64 (sqrt.f64 (fma.f64 a c (*.f64 b d))) (pow.f64 (hypot.f64 c d) 2)))
(*.f64 (sqrt.f64 (fma.f64 a c (*.f64 b d))) (*.f64 (sqrt.f64 (fma.f64 a c (*.f64 b d))) (/.f64 1 (pow.f64 (hypot.f64 c d) 2))))
(*.f64 (neg.f64 (fma.f64 a c (*.f64 b d))) (/.f64 1 (neg.f64 (pow.f64 (hypot.f64 c d) 2))))
(*.f64 (/.f64 1 (pow.f64 (hypot.f64 c d) 2)) (fma.f64 a c (*.f64 b d)))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (pow.f64 (hypot.f64 c d) 2)) 2)) (/.f64 (fma.f64 a c (*.f64 b d)) (cbrt.f64 (pow.f64 (hypot.f64 c d) 2))))
(*.f64 (/.f64 1 (hypot.f64 c d)) (/.f64 (fma.f64 a c (*.f64 b d)) (hypot.f64 c d)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 a c (*.f64 b d))) 2) 1) (/.f64 (cbrt.f64 (fma.f64 a c (*.f64 b d))) (pow.f64 (hypot.f64 c d) 2)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 a c (*.f64 b d))) 2) (pow.f64 (cbrt.f64 (pow.f64 (hypot.f64 c d) 2)) 2)) (cbrt.f64 (/.f64 (fma.f64 a c (*.f64 b d)) (pow.f64 (hypot.f64 c d) 2))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 a c (*.f64 b d))) 2) (hypot.f64 c d)) (/.f64 (cbrt.f64 (fma.f64 a c (*.f64 b d))) (hypot.f64 c d)))
(*.f64 (/.f64 (sqrt.f64 (fma.f64 a c (*.f64 b d))) 1) (/.f64 (sqrt.f64 (fma.f64 a c (*.f64 b d))) (pow.f64 (hypot.f64 c d) 2)))
(*.f64 (/.f64 (sqrt.f64 (fma.f64 a c (*.f64 b d))) (pow.f64 (cbrt.f64 (pow.f64 (hypot.f64 c d) 2)) 2)) (/.f64 (sqrt.f64 (fma.f64 a c (*.f64 b d))) (cbrt.f64 (pow.f64 (hypot.f64 c d) 2))))
(*.f64 (/.f64 (fma.f64 a c (*.f64 b d)) (+.f64 (pow.f64 d 6) (pow.f64 c 6))) (-.f64 (+.f64 (pow.f64 c 4) (pow.f64 d 4)) (pow.f64 (*.f64 c d) 2)))
(*.f64 (/.f64 (fma.f64 a c (*.f64 b d)) (-.f64 (pow.f64 c 4) (pow.f64 d 4))) (-.f64 (pow.f64 c 2) (pow.f64 d 2)))
(pow.f64 (/.f64 (fma.f64 a c (*.f64 b d)) (pow.f64 (hypot.f64 c d) 2)) 1)
(pow.f64 (cbrt.f64 (/.f64 (fma.f64 a c (*.f64 b d)) (pow.f64 (hypot.f64 c d) 2))) 3)
(pow.f64 (pow.f64 (/.f64 (fma.f64 a c (*.f64 b d)) (pow.f64 (hypot.f64 c d) 2)) 3) 1/3)
(pow.f64 (/.f64 (sqrt.f64 (fma.f64 a c (*.f64 b d))) (hypot.f64 c d)) 2)
(pow.f64 (/.f64 (pow.f64 (hypot.f64 c d) 2) (fma.f64 a c (*.f64 b d))) -1)
(neg.f64 (/.f64 (fma.f64 a c (*.f64 b d)) (neg.f64 (pow.f64 (hypot.f64 c d) 2))))
(neg.f64 (/.f64 (neg.f64 (fma.f64 a c (*.f64 b d))) (pow.f64 (hypot.f64 c d) 2)))
(sqrt.f64 (pow.f64 (/.f64 (fma.f64 a c (*.f64 b d)) (pow.f64 (hypot.f64 c d) 2)) 2))
(log.f64 (exp.f64 (/.f64 (fma.f64 a c (*.f64 b d)) (pow.f64 (hypot.f64 c d) 2))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (fma.f64 a c (*.f64 b d)) (pow.f64 (hypot.f64 c d) 2)))))
(cbrt.f64 (pow.f64 (/.f64 (fma.f64 a c (*.f64 b d)) (pow.f64 (hypot.f64 c d) 2)) 3))
(cbrt.f64 (/.f64 (pow.f64 (fma.f64 a c (*.f64 b d)) 3) (pow.f64 (pow.f64 (hypot.f64 c d) 2) 3)))
(expm1.f64 (log1p.f64 (/.f64 (fma.f64 a c (*.f64 b d)) (pow.f64 (hypot.f64 c d) 2))))
(log1p.f64 (expm1.f64 (/.f64 (fma.f64 a c (*.f64 b d)) (pow.f64 (hypot.f64 c d) 2))))
(exp.f64 (log.f64 (/.f64 (fma.f64 a c (*.f64 b d)) (pow.f64 (hypot.f64 c d) 2))))
(exp.f64 (*.f64 (log.f64 (/.f64 (fma.f64 a c (*.f64 b d)) (pow.f64 (hypot.f64 c d) 2))) 1))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 a c (*.f64 b d)))) 1)
(-.f64 (/.f64 (pow.f64 (*.f64 a c) 2) (fma.f64 a c (neg.f64 (*.f64 b d)))) (/.f64 (pow.f64 (*.f64 b d) 2) (fma.f64 a c (neg.f64 (*.f64 b d)))))
(*.f64 (fma.f64 a c (*.f64 b d)) 1)
(*.f64 1 (fma.f64 a c (*.f64 b d)))
(*.f64 (cbrt.f64 (fma.f64 a c (*.f64 b d))) (pow.f64 (cbrt.f64 (fma.f64 a c (*.f64 b d))) 2))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 a c (*.f64 b d))) 2) (cbrt.f64 (fma.f64 a c (*.f64 b d))))
(*.f64 (sqrt.f64 (fma.f64 a c (*.f64 b d))) (sqrt.f64 (fma.f64 a c (*.f64 b d))))
(*.f64 (+.f64 (pow.f64 (*.f64 a c) 3) (pow.f64 (*.f64 b d) 3)) (/.f64 1 (fma.f64 (*.f64 b d) (-.f64 (*.f64 b d) (*.f64 a c)) (pow.f64 (*.f64 a c) 2))))
(*.f64 (-.f64 (pow.f64 (*.f64 a c) 2) (pow.f64 (*.f64 b d) 2)) (/.f64 1 (fma.f64 a c (neg.f64 (*.f64 b d)))))
(/.f64 1 (/.f64 (fma.f64 (*.f64 b d) (-.f64 (*.f64 b d) (*.f64 a c)) (pow.f64 (*.f64 a c) 2)) (+.f64 (pow.f64 (*.f64 a c) 3) (pow.f64 (*.f64 b d) 3))))
(/.f64 1 (/.f64 (fma.f64 a c (neg.f64 (*.f64 b d))) (-.f64 (pow.f64 (*.f64 a c) 2) (pow.f64 (*.f64 b d) 2))))
(/.f64 (+.f64 (pow.f64 (*.f64 a c) 3) (pow.f64 (*.f64 b d) 3)) (fma.f64 (*.f64 b d) (-.f64 (*.f64 b d) (*.f64 a c)) (pow.f64 (*.f64 a c) 2)))
(/.f64 (+.f64 (pow.f64 (*.f64 a c) 3) (pow.f64 (*.f64 b d) 3)) (+.f64 (pow.f64 (*.f64 b d) 2) (-.f64 (pow.f64 (*.f64 a c) 2) (*.f64 a (*.f64 c (*.f64 b d))))))
(/.f64 (-.f64 (pow.f64 (*.f64 a c) 2) (pow.f64 (*.f64 b d) 2)) (fma.f64 a c (neg.f64 (*.f64 b d))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 a c) 3) (pow.f64 (*.f64 b d) 3))) (neg.f64 (fma.f64 (*.f64 b d) (-.f64 (*.f64 b d) (*.f64 a c)) (pow.f64 (*.f64 a c) 2))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 a c) 2) (pow.f64 (*.f64 b d) 2))) (neg.f64 (fma.f64 a c (neg.f64 (*.f64 b d)))))
(/.f64 (-.f64 (pow.f64 (*.f64 b d) 2) (pow.f64 (*.f64 a c) 2)) (-.f64 (*.f64 b d) (*.f64 a c)))
(pow.f64 (fma.f64 a c (*.f64 b d)) 1)
(pow.f64 (cbrt.f64 (fma.f64 a c (*.f64 b d))) 3)
(pow.f64 (pow.f64 (fma.f64 a c (*.f64 b d)) 3) 1/3)
(pow.f64 (sqrt.f64 (fma.f64 a c (*.f64 b d))) 2)
(sqrt.f64 (pow.f64 (fma.f64 a c (*.f64 b d)) 2))
(log.f64 (exp.f64 (fma.f64 a c (*.f64 b d))))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 a c (*.f64 b d)))))
(log.f64 (*.f64 (pow.f64 (exp.f64 c) a) (+.f64 1 (expm1.f64 (*.f64 b d)))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 a c))) (pow.f64 (exp.f64 b) d)))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 a c))) (+.f64 1 (expm1.f64 (*.f64 b d)))))
(log.f64 (*.f64 (pow.f64 (exp.f64 b) d) (+.f64 1 (expm1.f64 (*.f64 a c)))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 b d))) (pow.f64 (exp.f64 c) a)))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 b d))) (+.f64 1 (expm1.f64 (*.f64 a c)))))
(cbrt.f64 (pow.f64 (fma.f64 a c (*.f64 b d)) 3))
(expm1.f64 (log1p.f64 (fma.f64 a c (*.f64 b d))))
(log1p.f64 (expm1.f64 (fma.f64 a c (*.f64 b d))))
(exp.f64 (log.f64 (fma.f64 a c (*.f64 b d))))
(exp.f64 (*.f64 (log.f64 (fma.f64 a c (*.f64 b d))) 1))
(fma.f64 a c (*.f64 b d))
(fma.f64 c a (*.f64 b d))
(fma.f64 (*.f64 a c) 1 (*.f64 b d))
(fma.f64 b d (*.f64 a c))
(fma.f64 d b (*.f64 a c))
(fma.f64 (*.f64 b d) 1 (*.f64 a c))
(fma.f64 1 (*.f64 a c) (*.f64 b d))
(fma.f64 1 (*.f64 b d) (*.f64 a c))
(fma.f64 (pow.f64 (cbrt.f64 d) 2) (*.f64 (cbrt.f64 d) b) (*.f64 a c))
(fma.f64 (cbrt.f64 (*.f64 a c)) (pow.f64 (cbrt.f64 (*.f64 a c)) 2) (*.f64 b d))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 a c)) 2) (cbrt.f64 (*.f64 a c)) (*.f64 b d))
(fma.f64 (cbrt.f64 (*.f64 b d)) (pow.f64 (cbrt.f64 (*.f64 b d)) 2) (*.f64 a c))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 b d)) 2) (cbrt.f64 (*.f64 b d)) (*.f64 a c))
(fma.f64 (pow.f64 (cbrt.f64 c) 2) (*.f64 (cbrt.f64 c) a) (*.f64 b d))
(fma.f64 (cbrt.f64 (pow.f64 a 2)) (*.f64 (cbrt.f64 a) c) (*.f64 b d))
(fma.f64 (pow.f64 (cbrt.f64 b) 2) (*.f64 (cbrt.f64 b) d) (*.f64 a c))
(fma.f64 (sqrt.f64 (*.f64 a c)) (sqrt.f64 (*.f64 a c)) (*.f64 b d))
(fma.f64 (sqrt.f64 (*.f64 b d)) (sqrt.f64 (*.f64 b d)) (*.f64 a c))
(fma.f64 (sqrt.f64 c) (*.f64 (sqrt.f64 c) a) (*.f64 b d))
(fma.f64 (sqrt.f64 a) (*.f64 (sqrt.f64 a) c) (*.f64 b d))
(fma.f64 (sqrt.f64 b) (*.f64 (sqrt.f64 b) d) (*.f64 a c))
(fma.f64 (sqrt.f64 d) (*.f64 (sqrt.f64 d) b) (*.f64 a c))
(fma.f64 (*.f64 a (pow.f64 (cbrt.f64 c) 2)) (cbrt.f64 c) (*.f64 b d))
(fma.f64 (*.f64 a (sqrt.f64 c)) (sqrt.f64 c) (*.f64 b d))
(fma.f64 (*.f64 c (cbrt.f64 (pow.f64 a 2))) (cbrt.f64 a) (*.f64 b d))
(fma.f64 (*.f64 c (sqrt.f64 a)) (sqrt.f64 a) (*.f64 b d))
(fma.f64 (*.f64 b (pow.f64 (cbrt.f64 d) 2)) (cbrt.f64 d) (*.f64 a c))
(fma.f64 (*.f64 b (sqrt.f64 d)) (sqrt.f64 d) (*.f64 a c))
(fma.f64 (*.f64 d (pow.f64 (cbrt.f64 b) 2)) (cbrt.f64 b) (*.f64 a c))
(fma.f64 (*.f64 d (sqrt.f64 b)) (sqrt.f64 b) (*.f64 a c))

simplify112.0ms (1.2%)

Algorithm
egg-herbie
Rules
1384×fma-define
1384×unswap-sqr
670×cancel-sign-sub-inv
632×distribute-lft-neg-in
608×distribute-rgt-neg-in
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
02968523
17538049
227098025
Stop Event
node limit
Counts
163 → 164
Calls
Call 1
Inputs
(/.f64 (*.f64 b d) (+.f64 (pow.f64 c 2) (pow.f64 d 2)))
(+.f64 (/.f64 (*.f64 a c) (+.f64 (pow.f64 c 2) (pow.f64 d 2))) (/.f64 (*.f64 b d) (+.f64 (pow.f64 c 2) (pow.f64 d 2))))
(+.f64 (/.f64 (*.f64 a c) (+.f64 (pow.f64 c 2) (pow.f64 d 2))) (/.f64 (*.f64 b d) (+.f64 (pow.f64 c 2) (pow.f64 d 2))))
(+.f64 (/.f64 (*.f64 a c) (+.f64 (pow.f64 c 2) (pow.f64 d 2))) (/.f64 (*.f64 b d) (+.f64 (pow.f64 c 2) (pow.f64 d 2))))
(/.f64 (*.f64 a c) (+.f64 (pow.f64 c 2) (pow.f64 d 2)))
(+.f64 (/.f64 (*.f64 a c) (+.f64 (pow.f64 c 2) (pow.f64 d 2))) (/.f64 (*.f64 b d) (+.f64 (pow.f64 c 2) (pow.f64 d 2))))
(+.f64 (/.f64 (*.f64 a c) (+.f64 (pow.f64 c 2) (pow.f64 d 2))) (/.f64 (*.f64 b d) (+.f64 (pow.f64 c 2) (pow.f64 d 2))))
(+.f64 (/.f64 (*.f64 a c) (+.f64 (pow.f64 c 2) (pow.f64 d 2))) (/.f64 (*.f64 b d) (+.f64 (pow.f64 c 2) (pow.f64 d 2))))
(/.f64 (*.f64 a c) (+.f64 (pow.f64 c 2) (pow.f64 d 2)))
(+.f64 (/.f64 (*.f64 a c) (+.f64 (pow.f64 c 2) (pow.f64 d 2))) (/.f64 (*.f64 b d) (+.f64 (pow.f64 c 2) (pow.f64 d 2))))
(+.f64 (/.f64 (*.f64 a c) (+.f64 (pow.f64 c 2) (pow.f64 d 2))) (/.f64 (*.f64 b d) (+.f64 (pow.f64 c 2) (pow.f64 d 2))))
(+.f64 (/.f64 (*.f64 a c) (+.f64 (pow.f64 c 2) (pow.f64 d 2))) (/.f64 (*.f64 b d) (+.f64 (pow.f64 c 2) (pow.f64 d 2))))
(/.f64 b d)
(+.f64 (/.f64 b d) (/.f64 (*.f64 a c) (pow.f64 d 2)))
(+.f64 (*.f64 -1 (/.f64 (*.f64 b (pow.f64 c 2)) (pow.f64 d 3))) (+.f64 (/.f64 b d) (/.f64 (*.f64 a c) (pow.f64 d 2))))
(+.f64 (*.f64 -1 (/.f64 (*.f64 a (pow.f64 c 3)) (pow.f64 d 4))) (+.f64 (*.f64 -1 (/.f64 (*.f64 b (pow.f64 c 2)) (pow.f64 d 3))) (+.f64 (/.f64 b d) (/.f64 (*.f64 a c) (pow.f64 d 2)))))
(/.f64 a c)
(+.f64 (/.f64 a c) (/.f64 (*.f64 b d) (pow.f64 c 2)))
(+.f64 (*.f64 -1 (/.f64 (*.f64 a (pow.f64 d 2)) (pow.f64 c 3))) (+.f64 (/.f64 a c) (/.f64 (*.f64 b d) (pow.f64 c 2))))
(+.f64 (*.f64 -1 (/.f64 (*.f64 a (pow.f64 d 2)) (pow.f64 c 3))) (+.f64 (*.f64 -1 (/.f64 (*.f64 b (pow.f64 d 3)) (pow.f64 c 4))) (+.f64 (/.f64 a c) (/.f64 (*.f64 b d) (pow.f64 c 2)))))
(/.f64 a c)
(+.f64 (/.f64 a c) (/.f64 (*.f64 b d) (pow.f64 c 2)))
(+.f64 (*.f64 -1 (/.f64 (*.f64 a (pow.f64 d 2)) (pow.f64 c 3))) (+.f64 (/.f64 a c) (/.f64 (*.f64 b d) (pow.f64 c 2))))
(+.f64 (*.f64 -1 (/.f64 (*.f64 a (pow.f64 d 2)) (pow.f64 c 3))) (+.f64 (*.f64 -1 (/.f64 (*.f64 b (pow.f64 d 3)) (pow.f64 c 4))) (+.f64 (/.f64 a c) (/.f64 (*.f64 b d) (pow.f64 c 2)))))
(/.f64 (*.f64 a c) (+.f64 (pow.f64 c 2) (pow.f64 d 2)))
(+.f64 (/.f64 (*.f64 a c) (+.f64 (pow.f64 c 2) (pow.f64 d 2))) (/.f64 (*.f64 b d) (+.f64 (pow.f64 c 2) (pow.f64 d 2))))
(+.f64 (/.f64 (*.f64 a c) (+.f64 (pow.f64 c 2) (pow.f64 d 2))) (/.f64 (*.f64 b d) (+.f64 (pow.f64 c 2) (pow.f64 d 2))))
(+.f64 (/.f64 (*.f64 a c) (+.f64 (pow.f64 c 2) (pow.f64 d 2))) (/.f64 (*.f64 b d) (+.f64 (pow.f64 c 2) (pow.f64 d 2))))
(/.f64 (*.f64 b d) (+.f64 (pow.f64 c 2) (pow.f64 d 2)))
(+.f64 (/.f64 (*.f64 a c) (+.f64 (pow.f64 c 2) (pow.f64 d 2))) (/.f64 (*.f64 b d) (+.f64 (pow.f64 c 2) (pow.f64 d 2))))
(+.f64 (/.f64 (*.f64 a c) (+.f64 (pow.f64 c 2) (pow.f64 d 2))) (/.f64 (*.f64 b d) (+.f64 (pow.f64 c 2) (pow.f64 d 2))))
(+.f64 (/.f64 (*.f64 a c) (+.f64 (pow.f64 c 2) (pow.f64 d 2))) (/.f64 (*.f64 b d) (+.f64 (pow.f64 c 2) (pow.f64 d 2))))
(/.f64 (*.f64 b d) (+.f64 (pow.f64 c 2) (pow.f64 d 2)))
(+.f64 (/.f64 (*.f64 a c) (+.f64 (pow.f64 c 2) (pow.f64 d 2))) (/.f64 (*.f64 b d) (+.f64 (pow.f64 c 2) (pow.f64 d 2))))
(+.f64 (/.f64 (*.f64 a c) (+.f64 (pow.f64 c 2) (pow.f64 d 2))) (/.f64 (*.f64 b d) (+.f64 (pow.f64 c 2) (pow.f64 d 2))))
(+.f64 (/.f64 (*.f64 a c) (+.f64 (pow.f64 c 2) (pow.f64 d 2))) (/.f64 (*.f64 b d) (+.f64 (pow.f64 c 2) (pow.f64 d 2))))
(/.f64 a c)
(+.f64 (/.f64 a c) (/.f64 (*.f64 b d) (pow.f64 c 2)))
(+.f64 (*.f64 -1 (/.f64 (*.f64 a (pow.f64 d 2)) (pow.f64 c 3))) (+.f64 (/.f64 a c) (/.f64 (*.f64 b d) (pow.f64 c 2))))
(+.f64 (*.f64 -1 (/.f64 (*.f64 a (pow.f64 d 2)) (pow.f64 c 3))) (+.f64 (*.f64 -1 (/.f64 (*.f64 b (pow.f64 d 3)) (pow.f64 c 4))) (+.f64 (/.f64 a c) (/.f64 (*.f64 b d) (pow.f64 c 2)))))
(/.f64 b d)
(+.f64 (/.f64 b d) (/.f64 (*.f64 a c) (pow.f64 d 2)))
(+.f64 (*.f64 -1 (/.f64 (*.f64 b (pow.f64 c 2)) (pow.f64 d 3))) (+.f64 (/.f64 b d) (/.f64 (*.f64 a c) (pow.f64 d 2))))
(+.f64 (*.f64 -1 (/.f64 (*.f64 a (pow.f64 c 3)) (pow.f64 d 4))) (+.f64 (*.f64 -1 (/.f64 (*.f64 b (pow.f64 c 2)) (pow.f64 d 3))) (+.f64 (/.f64 b d) (/.f64 (*.f64 a c) (pow.f64 d 2)))))
(/.f64 b d)
(+.f64 (/.f64 b d) (/.f64 (*.f64 a c) (pow.f64 d 2)))
(+.f64 (*.f64 -1 (/.f64 (*.f64 b (pow.f64 c 2)) (pow.f64 d 3))) (+.f64 (/.f64 b d) (/.f64 (*.f64 a c) (pow.f64 d 2))))
(+.f64 (*.f64 -1 (/.f64 (*.f64 a (pow.f64 c 3)) (pow.f64 d 4))) (+.f64 (*.f64 -1 (/.f64 (*.f64 b (pow.f64 c 2)) (pow.f64 d 3))) (+.f64 (/.f64 b d) (/.f64 (*.f64 a c) (pow.f64 d 2)))))
(*.f64 b d)
(*.f64 a c)
(*.f64 a c)
(*.f64 b d)
(*.f64 a c)
(*.f64 a c)
(*.f64 a c)
(*.f64 b d)
(*.f64 b d)
(*.f64 a c)
(*.f64 b d)
(*.f64 b d)
(-.f64 (exp.f64 (log1p.f64 (/.f64 (fma.f64 a c (*.f64 b d)) (pow.f64 (hypot.f64 c d) 2)))) 1)
(*.f64 (fma.f64 a c (*.f64 b d)) (/.f64 1 (pow.f64 (hypot.f64 c d) 2)))
(*.f64 (/.f64 (fma.f64 a c (*.f64 b d)) (pow.f64 (hypot.f64 c d) 2)) 1)
(*.f64 1 (/.f64 (fma.f64 a c (*.f64 b d)) (pow.f64 (hypot.f64 c d) 2)))
(*.f64 (cbrt.f64 (/.f64 (fma.f64 a c (*.f64 b d)) (pow.f64 (hypot.f64 c d) 2))) (pow.f64 (cbrt.f64 (/.f64 (fma.f64 a c (*.f64 b d)) (pow.f64 (hypot.f64 c d) 2))) 2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (fma.f64 a c (*.f64 b d)) (pow.f64 (hypot.f64 c d) 2))) 2) (cbrt.f64 (/.f64 (fma.f64 a c (*.f64 b d)) (pow.f64 (hypot.f64 c d) 2))))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 a c (*.f64 b d))) 2) (/.f64 (cbrt.f64 (fma.f64 a c (*.f64 b d))) (pow.f64 (hypot.f64 c d) 2)))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 a c (*.f64 b d))) 2) (*.f64 (cbrt.f64 (fma.f64 a c (*.f64 b d))) (/.f64 1 (pow.f64 (hypot.f64 c d) 2))))
(*.f64 (/.f64 (sqrt.f64 (fma.f64 a c (*.f64 b d))) (hypot.f64 c d)) (/.f64 (sqrt.f64 (fma.f64 a c (*.f64 b d))) (hypot.f64 c d)))
(*.f64 (sqrt.f64 (fma.f64 a c (*.f64 b d))) (/.f64 (sqrt.f64 (fma.f64 a c (*.f64 b d))) (pow.f64 (hypot.f64 c d) 2)))
(*.f64 (sqrt.f64 (fma.f64 a c (*.f64 b d))) (*.f64 (sqrt.f64 (fma.f64 a c (*.f64 b d))) (/.f64 1 (pow.f64 (hypot.f64 c d) 2))))
(*.f64 (neg.f64 (fma.f64 a c (*.f64 b d))) (/.f64 1 (neg.f64 (pow.f64 (hypot.f64 c d) 2))))
(*.f64 (/.f64 1 (pow.f64 (hypot.f64 c d) 2)) (fma.f64 a c (*.f64 b d)))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (pow.f64 (hypot.f64 c d) 2)) 2)) (/.f64 (fma.f64 a c (*.f64 b d)) (cbrt.f64 (pow.f64 (hypot.f64 c d) 2))))
(*.f64 (/.f64 1 (hypot.f64 c d)) (/.f64 (fma.f64 a c (*.f64 b d)) (hypot.f64 c d)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 a c (*.f64 b d))) 2) 1) (/.f64 (cbrt.f64 (fma.f64 a c (*.f64 b d))) (pow.f64 (hypot.f64 c d) 2)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 a c (*.f64 b d))) 2) (pow.f64 (cbrt.f64 (pow.f64 (hypot.f64 c d) 2)) 2)) (cbrt.f64 (/.f64 (fma.f64 a c (*.f64 b d)) (pow.f64 (hypot.f64 c d) 2))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 a c (*.f64 b d))) 2) (hypot.f64 c d)) (/.f64 (cbrt.f64 (fma.f64 a c (*.f64 b d))) (hypot.f64 c d)))
(*.f64 (/.f64 (sqrt.f64 (fma.f64 a c (*.f64 b d))) 1) (/.f64 (sqrt.f64 (fma.f64 a c (*.f64 b d))) (pow.f64 (hypot.f64 c d) 2)))
(*.f64 (/.f64 (sqrt.f64 (fma.f64 a c (*.f64 b d))) (pow.f64 (cbrt.f64 (pow.f64 (hypot.f64 c d) 2)) 2)) (/.f64 (sqrt.f64 (fma.f64 a c (*.f64 b d))) (cbrt.f64 (pow.f64 (hypot.f64 c d) 2))))
(*.f64 (/.f64 (fma.f64 a c (*.f64 b d)) (+.f64 (pow.f64 d 6) (pow.f64 c 6))) (-.f64 (+.f64 (pow.f64 c 4) (pow.f64 d 4)) (pow.f64 (*.f64 c d) 2)))
(*.f64 (/.f64 (fma.f64 a c (*.f64 b d)) (-.f64 (pow.f64 c 4) (pow.f64 d 4))) (-.f64 (pow.f64 c 2) (pow.f64 d 2)))
(pow.f64 (/.f64 (fma.f64 a c (*.f64 b d)) (pow.f64 (hypot.f64 c d) 2)) 1)
(pow.f64 (cbrt.f64 (/.f64 (fma.f64 a c (*.f64 b d)) (pow.f64 (hypot.f64 c d) 2))) 3)
(pow.f64 (pow.f64 (/.f64 (fma.f64 a c (*.f64 b d)) (pow.f64 (hypot.f64 c d) 2)) 3) 1/3)
(pow.f64 (/.f64 (sqrt.f64 (fma.f64 a c (*.f64 b d))) (hypot.f64 c d)) 2)
(pow.f64 (/.f64 (pow.f64 (hypot.f64 c d) 2) (fma.f64 a c (*.f64 b d))) -1)
(neg.f64 (/.f64 (fma.f64 a c (*.f64 b d)) (neg.f64 (pow.f64 (hypot.f64 c d) 2))))
(neg.f64 (/.f64 (neg.f64 (fma.f64 a c (*.f64 b d))) (pow.f64 (hypot.f64 c d) 2)))
(sqrt.f64 (pow.f64 (/.f64 (fma.f64 a c (*.f64 b d)) (pow.f64 (hypot.f64 c d) 2)) 2))
(log.f64 (exp.f64 (/.f64 (fma.f64 a c (*.f64 b d)) (pow.f64 (hypot.f64 c d) 2))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (fma.f64 a c (*.f64 b d)) (pow.f64 (hypot.f64 c d) 2)))))
(cbrt.f64 (pow.f64 (/.f64 (fma.f64 a c (*.f64 b d)) (pow.f64 (hypot.f64 c d) 2)) 3))
(cbrt.f64 (/.f64 (pow.f64 (fma.f64 a c (*.f64 b d)) 3) (pow.f64 (pow.f64 (hypot.f64 c d) 2) 3)))
(expm1.f64 (log1p.f64 (/.f64 (fma.f64 a c (*.f64 b d)) (pow.f64 (hypot.f64 c d) 2))))
(log1p.f64 (expm1.f64 (/.f64 (fma.f64 a c (*.f64 b d)) (pow.f64 (hypot.f64 c d) 2))))
(exp.f64 (log.f64 (/.f64 (fma.f64 a c (*.f64 b d)) (pow.f64 (hypot.f64 c d) 2))))
(exp.f64 (*.f64 (log.f64 (/.f64 (fma.f64 a c (*.f64 b d)) (pow.f64 (hypot.f64 c d) 2))) 1))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 a c (*.f64 b d)))) 1)
(-.f64 (/.f64 (pow.f64 (*.f64 a c) 2) (fma.f64 a c (neg.f64 (*.f64 b d)))) (/.f64 (pow.f64 (*.f64 b d) 2) (fma.f64 a c (neg.f64 (*.f64 b d)))))
(*.f64 (fma.f64 a c (*.f64 b d)) 1)
(*.f64 1 (fma.f64 a c (*.f64 b d)))
(*.f64 (cbrt.f64 (fma.f64 a c (*.f64 b d))) (pow.f64 (cbrt.f64 (fma.f64 a c (*.f64 b d))) 2))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 a c (*.f64 b d))) 2) (cbrt.f64 (fma.f64 a c (*.f64 b d))))
(*.f64 (sqrt.f64 (fma.f64 a c (*.f64 b d))) (sqrt.f64 (fma.f64 a c (*.f64 b d))))
(*.f64 (+.f64 (pow.f64 (*.f64 a c) 3) (pow.f64 (*.f64 b d) 3)) (/.f64 1 (fma.f64 (*.f64 b d) (-.f64 (*.f64 b d) (*.f64 a c)) (pow.f64 (*.f64 a c) 2))))
(*.f64 (-.f64 (pow.f64 (*.f64 a c) 2) (pow.f64 (*.f64 b d) 2)) (/.f64 1 (fma.f64 a c (neg.f64 (*.f64 b d)))))
(/.f64 1 (/.f64 (fma.f64 (*.f64 b d) (-.f64 (*.f64 b d) (*.f64 a c)) (pow.f64 (*.f64 a c) 2)) (+.f64 (pow.f64 (*.f64 a c) 3) (pow.f64 (*.f64 b d) 3))))
(/.f64 1 (/.f64 (fma.f64 a c (neg.f64 (*.f64 b d))) (-.f64 (pow.f64 (*.f64 a c) 2) (pow.f64 (*.f64 b d) 2))))
(/.f64 (+.f64 (pow.f64 (*.f64 a c) 3) (pow.f64 (*.f64 b d) 3)) (fma.f64 (*.f64 b d) (-.f64 (*.f64 b d) (*.f64 a c)) (pow.f64 (*.f64 a c) 2)))
(/.f64 (+.f64 (pow.f64 (*.f64 a c) 3) (pow.f64 (*.f64 b d) 3)) (+.f64 (pow.f64 (*.f64 b d) 2) (-.f64 (pow.f64 (*.f64 a c) 2) (*.f64 a (*.f64 c (*.f64 b d))))))
(/.f64 (-.f64 (pow.f64 (*.f64 a c) 2) (pow.f64 (*.f64 b d) 2)) (fma.f64 a c (neg.f64 (*.f64 b d))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 a c) 3) (pow.f64 (*.f64 b d) 3))) (neg.f64 (fma.f64 (*.f64 b d) (-.f64 (*.f64 b d) (*.f64 a c)) (pow.f64 (*.f64 a c) 2))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 a c) 2) (pow.f64 (*.f64 b d) 2))) (neg.f64 (fma.f64 a c (neg.f64 (*.f64 b d)))))
(/.f64 (-.f64 (pow.f64 (*.f64 b d) 2) (pow.f64 (*.f64 a c) 2)) (-.f64 (*.f64 b d) (*.f64 a c)))
(pow.f64 (fma.f64 a c (*.f64 b d)) 1)
(pow.f64 (cbrt.f64 (fma.f64 a c (*.f64 b d))) 3)
(pow.f64 (pow.f64 (fma.f64 a c (*.f64 b d)) 3) 1/3)
(pow.f64 (sqrt.f64 (fma.f64 a c (*.f64 b d))) 2)
(sqrt.f64 (pow.f64 (fma.f64 a c (*.f64 b d)) 2))
(log.f64 (exp.f64 (fma.f64 a c (*.f64 b d))))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 a c (*.f64 b d)))))
(log.f64 (*.f64 (pow.f64 (exp.f64 c) a) (+.f64 1 (expm1.f64 (*.f64 b d)))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 a c))) (pow.f64 (exp.f64 b) d)))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 a c))) (+.f64 1 (expm1.f64 (*.f64 b d)))))
(log.f64 (*.f64 (pow.f64 (exp.f64 b) d) (+.f64 1 (expm1.f64 (*.f64 a c)))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 b d))) (pow.f64 (exp.f64 c) a)))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 b d))) (+.f64 1 (expm1.f64 (*.f64 a c)))))
(cbrt.f64 (pow.f64 (fma.f64 a c (*.f64 b d)) 3))
(expm1.f64 (log1p.f64 (fma.f64 a c (*.f64 b d))))
(log1p.f64 (expm1.f64 (fma.f64 a c (*.f64 b d))))
(exp.f64 (log.f64 (fma.f64 a c (*.f64 b d))))
(exp.f64 (*.f64 (log.f64 (fma.f64 a c (*.f64 b d))) 1))
(fma.f64 a c (*.f64 b d))
(fma.f64 c a (*.f64 b d))
(fma.f64 (*.f64 a c) 1 (*.f64 b d))
(fma.f64 b d (*.f64 a c))
(fma.f64 d b (*.f64 a c))
(fma.f64 (*.f64 b d) 1 (*.f64 a c))
(fma.f64 1 (*.f64 a c) (*.f64 b d))
(fma.f64 1 (*.f64 b d) (*.f64 a c))
(fma.f64 (pow.f64 (cbrt.f64 d) 2) (*.f64 (cbrt.f64 d) b) (*.f64 a c))
(fma.f64 (cbrt.f64 (*.f64 a c)) (pow.f64 (cbrt.f64 (*.f64 a c)) 2) (*.f64 b d))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 a c)) 2) (cbrt.f64 (*.f64 a c)) (*.f64 b d))
(fma.f64 (cbrt.f64 (*.f64 b d)) (pow.f64 (cbrt.f64 (*.f64 b d)) 2) (*.f64 a c))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 b d)) 2) (cbrt.f64 (*.f64 b d)) (*.f64 a c))
(fma.f64 (pow.f64 (cbrt.f64 c) 2) (*.f64 (cbrt.f64 c) a) (*.f64 b d))
(fma.f64 (cbrt.f64 (pow.f64 a 2)) (*.f64 (cbrt.f64 a) c) (*.f64 b d))
(fma.f64 (pow.f64 (cbrt.f64 b) 2) (*.f64 (cbrt.f64 b) d) (*.f64 a c))
(fma.f64 (sqrt.f64 (*.f64 a c)) (sqrt.f64 (*.f64 a c)) (*.f64 b d))
(fma.f64 (sqrt.f64 (*.f64 b d)) (sqrt.f64 (*.f64 b d)) (*.f64 a c))
(fma.f64 (sqrt.f64 c) (*.f64 (sqrt.f64 c) a) (*.f64 b d))
(fma.f64 (sqrt.f64 a) (*.f64 (sqrt.f64 a) c) (*.f64 b d))
(fma.f64 (sqrt.f64 b) (*.f64 (sqrt.f64 b) d) (*.f64 a c))
(fma.f64 (sqrt.f64 d) (*.f64 (sqrt.f64 d) b) (*.f64 a c))
(fma.f64 (*.f64 a (pow.f64 (cbrt.f64 c) 2)) (cbrt.f64 c) (*.f64 b d))
(fma.f64 (*.f64 a (sqrt.f64 c)) (sqrt.f64 c) (*.f64 b d))
(fma.f64 (*.f64 c (cbrt.f64 (pow.f64 a 2))) (cbrt.f64 a) (*.f64 b d))
(fma.f64 (*.f64 c (sqrt.f64 a)) (sqrt.f64 a) (*.f64 b d))
(fma.f64 (*.f64 b (pow.f64 (cbrt.f64 d) 2)) (cbrt.f64 d) (*.f64 a c))
(fma.f64 (*.f64 b (sqrt.f64 d)) (sqrt.f64 d) (*.f64 a c))
(fma.f64 (*.f64 d (pow.f64 (cbrt.f64 b) 2)) (cbrt.f64 b) (*.f64 a c))
(fma.f64 (*.f64 d (sqrt.f64 b)) (sqrt.f64 b) (*.f64 a c))
Outputs
(/.f64 (*.f64 b d) (+.f64 (pow.f64 c 2) (pow.f64 d 2)))
(*.f64 b (/.f64 d (pow.f64 (hypot.f64 d c) 2)))
(+.f64 (/.f64 (*.f64 a c) (+.f64 (pow.f64 c 2) (pow.f64 d 2))) (/.f64 (*.f64 b d) (+.f64 (pow.f64 c 2) (pow.f64 d 2))))
(+.f64 (/.f64 (*.f64 b d) (+.f64 (pow.f64 c 2) (pow.f64 d 2))) (/.f64 (*.f64 c a) (+.f64 (pow.f64 c 2) (pow.f64 d 2))))
(fma.f64 b (/.f64 d (pow.f64 (hypot.f64 d c) 2)) (/.f64 (*.f64 c a) (pow.f64 (hypot.f64 d c) 2)))
(fma.f64 b (/.f64 d (pow.f64 (hypot.f64 d c) 2)) (*.f64 c (/.f64 a (pow.f64 (hypot.f64 d c) 2))))
(+.f64 (/.f64 (*.f64 a c) (+.f64 (pow.f64 c 2) (pow.f64 d 2))) (/.f64 (*.f64 b d) (+.f64 (pow.f64 c 2) (pow.f64 d 2))))
(+.f64 (/.f64 (*.f64 b d) (+.f64 (pow.f64 c 2) (pow.f64 d 2))) (/.f64 (*.f64 c a) (+.f64 (pow.f64 c 2) (pow.f64 d 2))))
(fma.f64 b (/.f64 d (pow.f64 (hypot.f64 d c) 2)) (/.f64 (*.f64 c a) (pow.f64 (hypot.f64 d c) 2)))
(fma.f64 b (/.f64 d (pow.f64 (hypot.f64 d c) 2)) (*.f64 c (/.f64 a (pow.f64 (hypot.f64 d c) 2))))
(+.f64 (/.f64 (*.f64 a c) (+.f64 (pow.f64 c 2) (pow.f64 d 2))) (/.f64 (*.f64 b d) (+.f64 (pow.f64 c 2) (pow.f64 d 2))))
(+.f64 (/.f64 (*.f64 b d) (+.f64 (pow.f64 c 2) (pow.f64 d 2))) (/.f64 (*.f64 c a) (+.f64 (pow.f64 c 2) (pow.f64 d 2))))
(fma.f64 b (/.f64 d (pow.f64 (hypot.f64 d c) 2)) (/.f64 (*.f64 c a) (pow.f64 (hypot.f64 d c) 2)))
(fma.f64 b (/.f64 d (pow.f64 (hypot.f64 d c) 2)) (*.f64 c (/.f64 a (pow.f64 (hypot.f64 d c) 2))))
(/.f64 (*.f64 a c) (+.f64 (pow.f64 c 2) (pow.f64 d 2)))
(/.f64 (*.f64 c a) (+.f64 (pow.f64 c 2) (pow.f64 d 2)))
(/.f64 (*.f64 c a) (pow.f64 (hypot.f64 d c) 2))
(*.f64 c (/.f64 a (pow.f64 (hypot.f64 d c) 2)))
(+.f64 (/.f64 (*.f64 a c) (+.f64 (pow.f64 c 2) (pow.f64 d 2))) (/.f64 (*.f64 b d) (+.f64 (pow.f64 c 2) (pow.f64 d 2))))
(+.f64 (/.f64 (*.f64 b d) (+.f64 (pow.f64 c 2) (pow.f64 d 2))) (/.f64 (*.f64 c a) (+.f64 (pow.f64 c 2) (pow.f64 d 2))))
(fma.f64 b (/.f64 d (pow.f64 (hypot.f64 d c) 2)) (/.f64 (*.f64 c a) (pow.f64 (hypot.f64 d c) 2)))
(fma.f64 b (/.f64 d (pow.f64 (hypot.f64 d c) 2)) (*.f64 c (/.f64 a (pow.f64 (hypot.f64 d c) 2))))
(+.f64 (/.f64 (*.f64 a c) (+.f64 (pow.f64 c 2) (pow.f64 d 2))) (/.f64 (*.f64 b d) (+.f64 (pow.f64 c 2) (pow.f64 d 2))))
(+.f64 (/.f64 (*.f64 b d) (+.f64 (pow.f64 c 2) (pow.f64 d 2))) (/.f64 (*.f64 c a) (+.f64 (pow.f64 c 2) (pow.f64 d 2))))
(fma.f64 b (/.f64 d (pow.f64 (hypot.f64 d c) 2)) (/.f64 (*.f64 c a) (pow.f64 (hypot.f64 d c) 2)))
(fma.f64 b (/.f64 d (pow.f64 (hypot.f64 d c) 2)) (*.f64 c (/.f64 a (pow.f64 (hypot.f64 d c) 2))))
(+.f64 (/.f64 (*.f64 a c) (+.f64 (pow.f64 c 2) (pow.f64 d 2))) (/.f64 (*.f64 b d) (+.f64 (pow.f64 c 2) (pow.f64 d 2))))
(+.f64 (/.f64 (*.f64 b d) (+.f64 (pow.f64 c 2) (pow.f64 d 2))) (/.f64 (*.f64 c a) (+.f64 (pow.f64 c 2) (pow.f64 d 2))))
(fma.f64 b (/.f64 d (pow.f64 (hypot.f64 d c) 2)) (/.f64 (*.f64 c a) (pow.f64 (hypot.f64 d c) 2)))
(fma.f64 b (/.f64 d (pow.f64 (hypot.f64 d c) 2)) (*.f64 c (/.f64 a (pow.f64 (hypot.f64 d c) 2))))
(/.f64 (*.f64 a c) (+.f64 (pow.f64 c 2) (pow.f64 d 2)))
(/.f64 (*.f64 c a) (+.f64 (pow.f64 c 2) (pow.f64 d 2)))
(/.f64 (*.f64 c a) (pow.f64 (hypot.f64 d c) 2))
(*.f64 c (/.f64 a (pow.f64 (hypot.f64 d c) 2)))
(+.f64 (/.f64 (*.f64 a c) (+.f64 (pow.f64 c 2) (pow.f64 d 2))) (/.f64 (*.f64 b d) (+.f64 (pow.f64 c 2) (pow.f64 d 2))))
(+.f64 (/.f64 (*.f64 b d) (+.f64 (pow.f64 c 2) (pow.f64 d 2))) (/.f64 (*.f64 c a) (+.f64 (pow.f64 c 2) (pow.f64 d 2))))
(fma.f64 b (/.f64 d (pow.f64 (hypot.f64 d c) 2)) (/.f64 (*.f64 c a) (pow.f64 (hypot.f64 d c) 2)))
(fma.f64 b (/.f64 d (pow.f64 (hypot.f64 d c) 2)) (*.f64 c (/.f64 a (pow.f64 (hypot.f64 d c) 2))))
(+.f64 (/.f64 (*.f64 a c) (+.f64 (pow.f64 c 2) (pow.f64 d 2))) (/.f64 (*.f64 b d) (+.f64 (pow.f64 c 2) (pow.f64 d 2))))
(+.f64 (/.f64 (*.f64 b d) (+.f64 (pow.f64 c 2) (pow.f64 d 2))) (/.f64 (*.f64 c a) (+.f64 (pow.f64 c 2) (pow.f64 d 2))))
(fma.f64 b (/.f64 d (pow.f64 (hypot.f64 d c) 2)) (/.f64 (*.f64 c a) (pow.f64 (hypot.f64 d c) 2)))
(fma.f64 b (/.f64 d (pow.f64 (hypot.f64 d c) 2)) (*.f64 c (/.f64 a (pow.f64 (hypot.f64 d c) 2))))
(+.f64 (/.f64 (*.f64 a c) (+.f64 (pow.f64 c 2) (pow.f64 d 2))) (/.f64 (*.f64 b d) (+.f64 (pow.f64 c 2) (pow.f64 d 2))))
(+.f64 (/.f64 (*.f64 b d) (+.f64 (pow.f64 c 2) (pow.f64 d 2))) (/.f64 (*.f64 c a) (+.f64 (pow.f64 c 2) (pow.f64 d 2))))
(fma.f64 b (/.f64 d (pow.f64 (hypot.f64 d c) 2)) (/.f64 (*.f64 c a) (pow.f64 (hypot.f64 d c) 2)))
(fma.f64 b (/.f64 d (pow.f64 (hypot.f64 d c) 2)) (*.f64 c (/.f64 a (pow.f64 (hypot.f64 d c) 2))))
(/.f64 b d)
(+.f64 (/.f64 b d) (/.f64 (*.f64 a c) (pow.f64 d 2)))
(+.f64 (/.f64 b d) (*.f64 a (/.f64 c (pow.f64 d 2))))
(fma.f64 a (/.f64 c (pow.f64 d 2)) (/.f64 b d))
(fma.f64 c (/.f64 a (pow.f64 d 2)) (/.f64 b d))
(+.f64 (*.f64 -1 (/.f64 (*.f64 b (pow.f64 c 2)) (pow.f64 d 3))) (+.f64 (/.f64 b d) (/.f64 (*.f64 a c) (pow.f64 d 2))))
(fma.f64 -1 (*.f64 b (/.f64 (pow.f64 c 2) (pow.f64 d 3))) (+.f64 (/.f64 b d) (*.f64 a (/.f64 c (pow.f64 d 2)))))
(-.f64 (fma.f64 a (/.f64 c (pow.f64 d 2)) (/.f64 b d)) (*.f64 (pow.f64 c 2) (/.f64 b (pow.f64 d 3))))
(-.f64 (fma.f64 c (/.f64 a (pow.f64 d 2)) (/.f64 b d)) (*.f64 (pow.f64 c 2) (/.f64 b (pow.f64 d 3))))
(+.f64 (*.f64 -1 (/.f64 (*.f64 a (pow.f64 c 3)) (pow.f64 d 4))) (+.f64 (*.f64 -1 (/.f64 (*.f64 b (pow.f64 c 2)) (pow.f64 d 3))) (+.f64 (/.f64 b d) (/.f64 (*.f64 a c) (pow.f64 d 2)))))
(fma.f64 -1 (/.f64 (*.f64 a (pow.f64 c 3)) (pow.f64 d 4)) (fma.f64 -1 (*.f64 b (/.f64 (pow.f64 c 2) (pow.f64 d 3))) (+.f64 (/.f64 b d) (*.f64 a (/.f64 c (pow.f64 d 2))))))
(-.f64 (-.f64 (fma.f64 a (/.f64 c (pow.f64 d 2)) (/.f64 b d)) (*.f64 (pow.f64 c 2) (/.f64 b (pow.f64 d 3)))) (*.f64 a (/.f64 (pow.f64 c 3) (pow.f64 d 4))))
(-.f64 (fma.f64 c (/.f64 a (pow.f64 d 2)) (/.f64 b d)) (fma.f64 a (/.f64 (pow.f64 c 3) (pow.f64 d 4)) (*.f64 (pow.f64 c 2) (/.f64 b (pow.f64 d 3)))))
(/.f64 a c)
(+.f64 (/.f64 a c) (/.f64 (*.f64 b d) (pow.f64 c 2)))
(+.f64 (/.f64 a c) (*.f64 b (/.f64 d (pow.f64 c 2))))
(fma.f64 b (/.f64 d (pow.f64 c 2)) (/.f64 a c))
(+.f64 (*.f64 -1 (/.f64 (*.f64 a (pow.f64 d 2)) (pow.f64 c 3))) (+.f64 (/.f64 a c) (/.f64 (*.f64 b d) (pow.f64 c 2))))
(fma.f64 -1 (/.f64 (*.f64 (pow.f64 d 2) a) (pow.f64 c 3)) (+.f64 (/.f64 a c) (*.f64 b (/.f64 d (pow.f64 c 2)))))
(-.f64 (fma.f64 b (/.f64 d (pow.f64 c 2)) (/.f64 a c)) (*.f64 (pow.f64 d 2) (/.f64 a (pow.f64 c 3))))
(+.f64 (*.f64 -1 (/.f64 (*.f64 a (pow.f64 d 2)) (pow.f64 c 3))) (+.f64 (*.f64 -1 (/.f64 (*.f64 b (pow.f64 d 3)) (pow.f64 c 4))) (+.f64 (/.f64 a c) (/.f64 (*.f64 b d) (pow.f64 c 2)))))
(fma.f64 -1 (/.f64 (*.f64 (pow.f64 d 2) a) (pow.f64 c 3)) (fma.f64 -1 (*.f64 b (/.f64 (pow.f64 d 3) (pow.f64 c 4))) (+.f64 (/.f64 a c) (*.f64 b (/.f64 d (pow.f64 c 2))))))
(-.f64 (-.f64 (fma.f64 b (/.f64 d (pow.f64 c 2)) (/.f64 a c)) (*.f64 b (/.f64 (pow.f64 d 3) (pow.f64 c 4)))) (*.f64 (pow.f64 d 2) (/.f64 a (pow.f64 c 3))))
(-.f64 (fma.f64 b (/.f64 d (pow.f64 c 2)) (/.f64 a c)) (fma.f64 (pow.f64 d 2) (/.f64 a (pow.f64 c 3)) (*.f64 b (/.f64 (pow.f64 d 3) (pow.f64 c 4)))))
(/.f64 a c)
(+.f64 (/.f64 a c) (/.f64 (*.f64 b d) (pow.f64 c 2)))
(+.f64 (/.f64 a c) (*.f64 b (/.f64 d (pow.f64 c 2))))
(fma.f64 b (/.f64 d (pow.f64 c 2)) (/.f64 a c))
(+.f64 (*.f64 -1 (/.f64 (*.f64 a (pow.f64 d 2)) (pow.f64 c 3))) (+.f64 (/.f64 a c) (/.f64 (*.f64 b d) (pow.f64 c 2))))
(fma.f64 -1 (/.f64 (*.f64 (pow.f64 d 2) a) (pow.f64 c 3)) (+.f64 (/.f64 a c) (*.f64 b (/.f64 d (pow.f64 c 2)))))
(-.f64 (fma.f64 b (/.f64 d (pow.f64 c 2)) (/.f64 a c)) (*.f64 (pow.f64 d 2) (/.f64 a (pow.f64 c 3))))
(+.f64 (*.f64 -1 (/.f64 (*.f64 a (pow.f64 d 2)) (pow.f64 c 3))) (+.f64 (*.f64 -1 (/.f64 (*.f64 b (pow.f64 d 3)) (pow.f64 c 4))) (+.f64 (/.f64 a c) (/.f64 (*.f64 b d) (pow.f64 c 2)))))
(fma.f64 -1 (/.f64 (*.f64 (pow.f64 d 2) a) (pow.f64 c 3)) (fma.f64 -1 (*.f64 b (/.f64 (pow.f64 d 3) (pow.f64 c 4))) (+.f64 (/.f64 a c) (*.f64 b (/.f64 d (pow.f64 c 2))))))
(-.f64 (-.f64 (fma.f64 b (/.f64 d (pow.f64 c 2)) (/.f64 a c)) (*.f64 b (/.f64 (pow.f64 d 3) (pow.f64 c 4)))) (*.f64 (pow.f64 d 2) (/.f64 a (pow.f64 c 3))))
(-.f64 (fma.f64 b (/.f64 d (pow.f64 c 2)) (/.f64 a c)) (fma.f64 (pow.f64 d 2) (/.f64 a (pow.f64 c 3)) (*.f64 b (/.f64 (pow.f64 d 3) (pow.f64 c 4)))))
(/.f64 (*.f64 a c) (+.f64 (pow.f64 c 2) (pow.f64 d 2)))
(/.f64 (*.f64 c a) (+.f64 (pow.f64 c 2) (pow.f64 d 2)))
(/.f64 (*.f64 c a) (pow.f64 (hypot.f64 d c) 2))
(*.f64 c (/.f64 a (pow.f64 (hypot.f64 d c) 2)))
(+.f64 (/.f64 (*.f64 a c) (+.f64 (pow.f64 c 2) (pow.f64 d 2))) (/.f64 (*.f64 b d) (+.f64 (pow.f64 c 2) (pow.f64 d 2))))
(+.f64 (/.f64 (*.f64 b d) (+.f64 (pow.f64 c 2) (pow.f64 d 2))) (/.f64 (*.f64 c a) (+.f64 (pow.f64 c 2) (pow.f64 d 2))))
(fma.f64 b (/.f64 d (pow.f64 (hypot.f64 d c) 2)) (/.f64 (*.f64 c a) (pow.f64 (hypot.f64 d c) 2)))
(fma.f64 b (/.f64 d (pow.f64 (hypot.f64 d c) 2)) (*.f64 c (/.f64 a (pow.f64 (hypot.f64 d c) 2))))
(+.f64 (/.f64 (*.f64 a c) (+.f64 (pow.f64 c 2) (pow.f64 d 2))) (/.f64 (*.f64 b d) (+.f64 (pow.f64 c 2) (pow.f64 d 2))))
(+.f64 (/.f64 (*.f64 b d) (+.f64 (pow.f64 c 2) (pow.f64 d 2))) (/.f64 (*.f64 c a) (+.f64 (pow.f64 c 2) (pow.f64 d 2))))
(fma.f64 b (/.f64 d (pow.f64 (hypot.f64 d c) 2)) (/.f64 (*.f64 c a) (pow.f64 (hypot.f64 d c) 2)))
(fma.f64 b (/.f64 d (pow.f64 (hypot.f64 d c) 2)) (*.f64 c (/.f64 a (pow.f64 (hypot.f64 d c) 2))))
(+.f64 (/.f64 (*.f64 a c) (+.f64 (pow.f64 c 2) (pow.f64 d 2))) (/.f64 (*.f64 b d) (+.f64 (pow.f64 c 2) (pow.f64 d 2))))
(+.f64 (/.f64 (*.f64 b d) (+.f64 (pow.f64 c 2) (pow.f64 d 2))) (/.f64 (*.f64 c a) (+.f64 (pow.f64 c 2) (pow.f64 d 2))))
(fma.f64 b (/.f64 d (pow.f64 (hypot.f64 d c) 2)) (/.f64 (*.f64 c a) (pow.f64 (hypot.f64 d c) 2)))
(fma.f64 b (/.f64 d (pow.f64 (hypot.f64 d c) 2)) (*.f64 c (/.f64 a (pow.f64 (hypot.f64 d c) 2))))
(/.f64 (*.f64 b d) (+.f64 (pow.f64 c 2) (pow.f64 d 2)))
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(fma.f64 c a (*.f64 b d))
(fma.f64 b d (*.f64 c a))
(fma.f64 (*.f64 a (pow.f64 (cbrt.f64 c) 2)) (cbrt.f64 c) (*.f64 b d))
(fma.f64 c a (*.f64 b d))
(fma.f64 b d (*.f64 c a))
(fma.f64 (*.f64 a (sqrt.f64 c)) (sqrt.f64 c) (*.f64 b d))
(fma.f64 c a (*.f64 b d))
(fma.f64 b d (*.f64 c a))
(fma.f64 (*.f64 c (cbrt.f64 (pow.f64 a 2))) (cbrt.f64 a) (*.f64 b d))
(fma.f64 (cbrt.f64 (pow.f64 a 2)) (*.f64 c (cbrt.f64 a)) (*.f64 b d))
(fma.f64 b d (*.f64 c (*.f64 (cbrt.f64 (pow.f64 a 2)) (cbrt.f64 a))))
(fma.f64 (*.f64 c (sqrt.f64 a)) (sqrt.f64 a) (*.f64 b d))
(fma.f64 c a (*.f64 b d))
(fma.f64 b d (*.f64 c a))
(fma.f64 (*.f64 b (pow.f64 (cbrt.f64 d) 2)) (cbrt.f64 d) (*.f64 a c))
(fma.f64 c a (*.f64 b d))
(fma.f64 b d (*.f64 c a))
(fma.f64 (*.f64 b (sqrt.f64 d)) (sqrt.f64 d) (*.f64 a c))
(fma.f64 c a (*.f64 b d))
(fma.f64 b d (*.f64 c a))
(fma.f64 (*.f64 d (pow.f64 (cbrt.f64 b) 2)) (cbrt.f64 b) (*.f64 a c))
(fma.f64 c a (*.f64 b d))
(fma.f64 b d (*.f64 c a))
(fma.f64 (*.f64 d (sqrt.f64 b)) (sqrt.f64 b) (*.f64 a c))
(fma.f64 c a (*.f64 b d))
(fma.f64 b d (*.f64 c a))

eval41.0ms (0.4%)

Compiler

Compiled 3318 to 1171 computations (64.7% saved)

prune34.0ms (0.4%)

Pruning

11 alts after pruning (10 fresh and 1 done)

PrunedKeptTotal
New15410164
Fresh000
Picked011
Done000
Total15411165
Accuracy
97.4%
Counts
165 → 11
Alt Table
Click to see full alt table
StatusAccuracyProgram
32.9%
(pow.f64 (/.f64 (sqrt.f64 (fma.f64 a c (*.f64 b d))) (hypot.f64 c d)) 2)
59.6%
(/.f64 (fma.f64 d b (*.f64 a c)) (+.f64 (*.f64 c c) (*.f64 d d)))
59.6%
(/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) (+.f64 (*.f64 c c) (*.f64 d d)))
38.9%
(/.f64 (*.f64 c a) (+.f64 (*.f64 c c) (*.f64 d d)))
36.5%
(/.f64 (*.f64 b d) (+.f64 (*.f64 c c) (*.f64 d d)))
39.8%
(/.f64 b d)
45.0%
(/.f64 a c)
45.6%
(+.f64 (/.f64 b d) (*.f64 a (/.f64 c (pow.f64 d 2))))
50.2%
(+.f64 (/.f64 a c) (*.f64 b (/.f64 d (pow.f64 c 2))))
76.2%
(*.f64 (/.f64 1 (hypot.f64 c d)) (/.f64 (fma.f64 a c (*.f64 b d)) (hypot.f64 c d)))
37.8%
(*.f64 c (/.f64 a (pow.f64 (hypot.f64 d c) 2)))
Compiler

Compiled 303 to 189 computations (37.6% saved)

localize206.0ms (2.2%)

Localize:

Found 8 expressions with local error:

NewAccuracyProgram
59.9%
(/.f64 (fma.f64 d b (*.f64 a c)) (+.f64 (*.f64 c c) (*.f64 d d)))
98.0%
(+.f64 (/.f64 a c) (*.f64 b (/.f64 d (pow.f64 c 2))))
89.9%
(/.f64 d (pow.f64 c 2))
86.9%
(*.f64 b (/.f64 d (pow.f64 c 2)))
75.8%
(/.f64 (*.f64 b d) (+.f64 (*.f64 c c) (*.f64 d d)))
99.6%
(*.f64 (/.f64 1 (hypot.f64 c d)) (/.f64 (fma.f64 a c (*.f64 b d)) (hypot.f64 c d)))
98.8%
(fma.f64 a c (*.f64 b d))
77.1%
(/.f64 (fma.f64 a c (*.f64 b d)) (hypot.f64 c d))
Compiler

Compiled 162 to 38 computations (76.5% saved)

series99.0ms (1%)

Counts
8 → 312
Calls

84 calls:

TimeVariablePointExpression
23.0ms
c
@0
(fma.f64 a c (*.f64 b d))
3.0ms
c
@0
(/.f64 d (pow.f64 c 2))
2.0ms
c
@0
(/.f64 (fma.f64 a c (*.f64 b d)) (hypot.f64 c d))
2.0ms
d
@0
(*.f64 b (/.f64 d (pow.f64 c 2)))
2.0ms
c
@0
(/.f64 (fma.f64 d b (*.f64 a c)) (+.f64 (*.f64 c c) (*.f64 d d)))

rewrite241.0ms (2.5%)

Algorithm
batch-egg-rewrite
Rules
658×log1p-expm1-u
382×associate-*r*
268×associate-*l*
266×times-frac
223×expm1-log1p-u
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
032319
1504300
27347300
Stop Event
node limit
Counts
8 → 332
Calls
Call 1
Inputs
(/.f64 (fma.f64 a c (*.f64 b d)) (hypot.f64 c d))
(fma.f64 a c (*.f64 b d))
(*.f64 (/.f64 1 (hypot.f64 c d)) (/.f64 (fma.f64 a c (*.f64 b d)) (hypot.f64 c d)))
(/.f64 (*.f64 b d) (+.f64 (*.f64 c c) (*.f64 d d)))
(*.f64 b (/.f64 d (pow.f64 c 2)))
(/.f64 d (pow.f64 c 2))
(+.f64 (/.f64 a c) (*.f64 b (/.f64 d (pow.f64 c 2))))
(/.f64 (fma.f64 d b (*.f64 a c)) (+.f64 (*.f64 c c) (*.f64 d d)))
Outputs
(+.f64 (*.f64 (/.f64 1 (hypot.f64 c d)) (*.f64 a c)) (*.f64 (/.f64 1 (hypot.f64 c d)) (*.f64 b d)))
(+.f64 (*.f64 (*.f64 a c) (/.f64 1 (hypot.f64 c d))) (*.f64 (*.f64 b d) (/.f64 1 (hypot.f64 c d))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (fma.f64 b d (*.f64 a c)) (hypot.f64 c d)))) 1)
(*.f64 (fma.f64 b d (*.f64 a c)) (/.f64 1 (hypot.f64 c d)))
(*.f64 (/.f64 (fma.f64 b d (*.f64 a c)) (hypot.f64 c d)) 1)
(*.f64 1 (/.f64 (fma.f64 b d (*.f64 a c)) (hypot.f64 c d)))
(*.f64 (/.f64 1 (hypot.f64 c d)) (fma.f64 b d (*.f64 a c)))
(*.f64 (cbrt.f64 (pow.f64 (fma.f64 b d (*.f64 a c)) 2)) (/.f64 (cbrt.f64 (fma.f64 b d (*.f64 a c))) (hypot.f64 c d)))
(*.f64 (cbrt.f64 (pow.f64 (fma.f64 b d (*.f64 a c)) 2)) (*.f64 (cbrt.f64 (fma.f64 b d (*.f64 a c))) (/.f64 1 (hypot.f64 c d))))
(*.f64 (cbrt.f64 (/.f64 (fma.f64 b d (*.f64 a c)) (hypot.f64 c d))) (pow.f64 (cbrt.f64 (/.f64 (fma.f64 b d (*.f64 a c)) (hypot.f64 c d))) 2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (fma.f64 b d (*.f64 a c)) (hypot.f64 c d))) 2) (cbrt.f64 (/.f64 (fma.f64 b d (*.f64 a c)) (hypot.f64 c d))))
(*.f64 (cbrt.f64 (pow.f64 (hypot.f64 c d) -2)) (*.f64 (/.f64 1 (cbrt.f64 (hypot.f64 c d))) (fma.f64 b d (*.f64 a c))))
(*.f64 (sqrt.f64 (fma.f64 b d (*.f64 a c))) (/.f64 (sqrt.f64 (fma.f64 b d (*.f64 a c))) (hypot.f64 c d)))
(*.f64 (sqrt.f64 (/.f64 (fma.f64 b d (*.f64 a c)) (hypot.f64 c d))) (sqrt.f64 (/.f64 (fma.f64 b d (*.f64 a c)) (hypot.f64 c d))))
(*.f64 (pow.f64 (hypot.f64 c d) -1/2) (/.f64 (fma.f64 b d (*.f64 a c)) (sqrt.f64 (hypot.f64 c d))))
(*.f64 (pow.f64 (hypot.f64 c d) -1/2) (*.f64 (pow.f64 (hypot.f64 c d) -1/2) (fma.f64 b d (*.f64 a c))))
(*.f64 (neg.f64 (fma.f64 b d (*.f64 a c))) (/.f64 1 (neg.f64 (hypot.f64 c d))))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (fma.f64 b d (*.f64 a c)) 2)) 1) (/.f64 (cbrt.f64 (fma.f64 b d (*.f64 a c))) (hypot.f64 c d)))
(*.f64 (/.f64 (sqrt.f64 (fma.f64 b d (*.f64 a c))) 1) (/.f64 (sqrt.f64 (fma.f64 b d (*.f64 a c))) (hypot.f64 c d)))
(*.f64 (/.f64 (sqrt.f64 (fma.f64 b d (*.f64 a c))) (pow.f64 (cbrt.f64 (hypot.f64 c d)) 2)) (/.f64 (sqrt.f64 (fma.f64 b d (*.f64 a c))) (cbrt.f64 (hypot.f64 c d))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (hypot.f64 c d)) 2)) (/.f64 (fma.f64 b d (*.f64 a c)) (cbrt.f64 (hypot.f64 c d))))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (fma.f64 b d (*.f64 a c)) 2)) (pow.f64 (cbrt.f64 (hypot.f64 c d)) 2)) (cbrt.f64 (/.f64 (fma.f64 b d (*.f64 a c)) (hypot.f64 c d))))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (fma.f64 b d (*.f64 a c)) 2)) (sqrt.f64 (hypot.f64 c d))) (/.f64 (cbrt.f64 (fma.f64 b d (*.f64 a c))) (sqrt.f64 (hypot.f64 c d))))
(*.f64 (*.f64 (pow.f64 (hypot.f64 c d) -1/2) (sqrt.f64 (fma.f64 b d (*.f64 a c)))) (*.f64 (pow.f64 (hypot.f64 c d) -1/2) (sqrt.f64 (fma.f64 b d (*.f64 a c)))))
(*.f64 (*.f64 (fma.f64 b d (*.f64 a c)) (cbrt.f64 (pow.f64 (hypot.f64 c d) -2))) (/.f64 1 (cbrt.f64 (hypot.f64 c d))))
(*.f64 (*.f64 (fma.f64 b d (*.f64 a c)) (pow.f64 (hypot.f64 c d) -1/2)) (pow.f64 (hypot.f64 c d) -1/2))
(*.f64 (*.f64 (/.f64 1 (hypot.f64 c d)) (cbrt.f64 (pow.f64 (fma.f64 b d (*.f64 a c)) 2))) (cbrt.f64 (fma.f64 b d (*.f64 a c))))
(*.f64 (*.f64 (/.f64 1 (hypot.f64 c d)) (sqrt.f64 (fma.f64 b d (*.f64 a c)))) (sqrt.f64 (fma.f64 b d (*.f64 a c))))
(pow.f64 (/.f64 (fma.f64 b d (*.f64 a c)) (hypot.f64 c d)) 1)
(pow.f64 (cbrt.f64 (/.f64 (fma.f64 b d (*.f64 a c)) (hypot.f64 c d))) 3)
(pow.f64 (pow.f64 (/.f64 (fma.f64 b d (*.f64 a c)) (hypot.f64 c d)) 3) 1/3)
(pow.f64 (sqrt.f64 (/.f64 (fma.f64 b d (*.f64 a c)) (hypot.f64 c d))) 2)
(pow.f64 (/.f64 (hypot.f64 c d) (fma.f64 b d (*.f64 a c))) -1)
(neg.f64 (/.f64 (fma.f64 b d (*.f64 a c)) (neg.f64 (hypot.f64 c d))))
(neg.f64 (/.f64 (neg.f64 (fma.f64 b d (*.f64 a c))) (hypot.f64 c d)))
(sqrt.f64 (pow.f64 (/.f64 (fma.f64 b d (*.f64 a c)) (hypot.f64 c d)) 2))
(log.f64 (exp.f64 (/.f64 (fma.f64 b d (*.f64 a c)) (hypot.f64 c d))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (fma.f64 b d (*.f64 a c)) (hypot.f64 c d)))))
(cbrt.f64 (pow.f64 (/.f64 (fma.f64 b d (*.f64 a c)) (hypot.f64 c d)) 3))
(cbrt.f64 (*.f64 (pow.f64 (fma.f64 b d (*.f64 a c)) 3) (pow.f64 (/.f64 1 (hypot.f64 c d)) 3)))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 1 (hypot.f64 c d)) 3) (pow.f64 (fma.f64 b d (*.f64 a c)) 3)))
(cbrt.f64 (/.f64 (pow.f64 (fma.f64 b d (*.f64 a c)) 3) (pow.f64 (hypot.f64 c d) 3)))
(expm1.f64 (log1p.f64 (/.f64 (fma.f64 b d (*.f64 a c)) (hypot.f64 c d))))
(log1p.f64 (expm1.f64 (/.f64 (fma.f64 b d (*.f64 a c)) (hypot.f64 c d))))
(exp.f64 (log.f64 (/.f64 (fma.f64 b d (*.f64 a c)) (hypot.f64 c d))))
(exp.f64 (*.f64 (log.f64 (/.f64 (fma.f64 b d (*.f64 a c)) (hypot.f64 c d))) 1))
(exp.f64 (+.f64 (neg.f64 (log.f64 (hypot.f64 c d))) (log.f64 (fma.f64 b d (*.f64 a c)))))
(+.f64 (*.f64 b d) (*.f64 a c))
(+.f64 (*.f64 a c) (*.f64 b d))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 b d (*.f64 a c)))) 1)
(*.f64 (fma.f64 b d (*.f64 a c)) 1)
(*.f64 1 (fma.f64 b d (*.f64 a c)))
(*.f64 (cbrt.f64 (fma.f64 b d (*.f64 a c))) (cbrt.f64 (pow.f64 (fma.f64 b d (*.f64 a c)) 2)))
(*.f64 (cbrt.f64 (pow.f64 (fma.f64 b d (*.f64 a c)) 2)) (cbrt.f64 (fma.f64 b d (*.f64 a c))))
(*.f64 (sqrt.f64 (fma.f64 b d (*.f64 a c))) (sqrt.f64 (fma.f64 b d (*.f64 a c))))
(/.f64 (+.f64 (pow.f64 (*.f64 a c) 3) (pow.f64 (*.f64 b d) 3)) (+.f64 (pow.f64 (*.f64 a c) 2) (-.f64 (pow.f64 (*.f64 b d) 2) (*.f64 (*.f64 a c) (*.f64 b d)))))
(/.f64 (+.f64 (pow.f64 (*.f64 b d) 3) (pow.f64 (*.f64 a c) 3)) (+.f64 (pow.f64 (*.f64 b d) 2) (-.f64 (pow.f64 (*.f64 a c) 2) (*.f64 (*.f64 b d) (*.f64 a c)))))
(/.f64 (-.f64 (pow.f64 (*.f64 a c) 2) (pow.f64 (*.f64 b d) 2)) (-.f64 (*.f64 a c) (*.f64 b d)))
(/.f64 (-.f64 (pow.f64 (*.f64 b d) 2) (pow.f64 (*.f64 a c) 2)) (-.f64 (*.f64 b d) (*.f64 a c)))
(pow.f64 (fma.f64 b d (*.f64 a c)) 1)
(pow.f64 (cbrt.f64 (fma.f64 b d (*.f64 a c))) 3)
(pow.f64 (pow.f64 (fma.f64 b d (*.f64 a c)) 3) 1/3)
(pow.f64 (sqrt.f64 (fma.f64 b d (*.f64 a c))) 2)
(sqrt.f64 (pow.f64 (fma.f64 b d (*.f64 a c)) 2))
(log.f64 (exp.f64 (fma.f64 b d (*.f64 a c))))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 b d (*.f64 a c)))))
(cbrt.f64 (pow.f64 (fma.f64 b d (*.f64 a c)) 3))
(expm1.f64 (log1p.f64 (fma.f64 b d (*.f64 a c))))
(log1p.f64 (expm1.f64 (fma.f64 b d (*.f64 a c))))
(exp.f64 (log.f64 (fma.f64 b d (*.f64 a c))))
(exp.f64 (*.f64 (log.f64 (fma.f64 b d (*.f64 a c))) 1))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (fma.f64 b d (*.f64 a c)) (pow.f64 (hypot.f64 c d) -2)))) 1)
(/.f64 (fma.f64 b d (*.f64 a c)) (pow.f64 (hypot.f64 c d) 2))
(/.f64 (/.f64 (fma.f64 b d (*.f64 a c)) (hypot.f64 c d)) (hypot.f64 c d))
(/.f64 1 (/.f64 (pow.f64 (hypot.f64 c d) 2) (fma.f64 b d (*.f64 a c))))
(/.f64 1 (*.f64 (/.f64 (hypot.f64 c d) (fma.f64 b d (*.f64 a c))) (hypot.f64 c d)))
(/.f64 1 (/.f64 (/.f64 (pow.f64 (hypot.f64 c d) 2) (fma.f64 b d (*.f64 a c))) 1))
(/.f64 1 (/.f64 (hypot.f64 c d) (/.f64 (fma.f64 b d (*.f64 a c)) (hypot.f64 c d))))
(/.f64 (/.f64 1 (hypot.f64 c d)) (/.f64 (hypot.f64 c d) (fma.f64 b d (*.f64 a c))))
(/.f64 -1 (*.f64 (/.f64 (hypot.f64 c d) (fma.f64 b d (*.f64 a c))) (neg.f64 (hypot.f64 c d))))
(/.f64 -1 (*.f64 (neg.f64 (hypot.f64 c d)) (/.f64 (hypot.f64 c d) (fma.f64 b d (*.f64 a c)))))
(/.f64 -1 (neg.f64 (/.f64 (pow.f64 (hypot.f64 c d) 2) (fma.f64 b d (*.f64 a c)))))
(/.f64 (neg.f64 (fma.f64 b d (*.f64 a c))) (neg.f64 (pow.f64 (hypot.f64 c d) 2)))
(/.f64 (*.f64 (neg.f64 (fma.f64 b d (*.f64 a c))) 1) (neg.f64 (pow.f64 (hypot.f64 c d) 2)))
(/.f64 (*.f64 (fma.f64 b d (*.f64 a c)) -1) (neg.f64 (pow.f64 (hypot.f64 c d) 2)))
(/.f64 (*.f64 (neg.f64 (fma.f64 b d (*.f64 a c))) -1) (*.f64 (neg.f64 (hypot.f64 c d)) (neg.f64 (hypot.f64 c d))))
(/.f64 (*.f64 -1 (neg.f64 (fma.f64 b d (*.f64 a c)))) (*.f64 (neg.f64 (hypot.f64 c d)) (neg.f64 (hypot.f64 c d))))
(/.f64 (neg.f64 (/.f64 (fma.f64 b d (*.f64 a c)) (hypot.f64 c d))) (neg.f64 (hypot.f64 c d)))
(/.f64 (neg.f64 (neg.f64 (fma.f64 b d (*.f64 a c)))) (neg.f64 (neg.f64 (pow.f64 (hypot.f64 c d) 2))))
(/.f64 (/.f64 (fma.f64 b d (*.f64 a c)) 1) (pow.f64 (hypot.f64 c d) 2))
(/.f64 (/.f64 (/.f64 (fma.f64 b d (*.f64 a c)) (hypot.f64 c d)) (sqrt.f64 (hypot.f64 c d))) (sqrt.f64 (hypot.f64 c d)))
(/.f64 (*.f64 (/.f64 (fma.f64 b d (*.f64 a c)) (hypot.f64 c d)) -1) (neg.f64 (hypot.f64 c d)))
(/.f64 (*.f64 (/.f64 1 (hypot.f64 c d)) (neg.f64 (fma.f64 b d (*.f64 a c)))) (neg.f64 (hypot.f64 c d)))
(/.f64 (*.f64 (neg.f64 (fma.f64 b d (*.f64 a c))) (/.f64 1 (hypot.f64 c d))) (neg.f64 (hypot.f64 c d)))
(/.f64 (*.f64 -1 (/.f64 (fma.f64 b d (*.f64 a c)) (hypot.f64 c d))) (neg.f64 (hypot.f64 c d)))
(/.f64 (/.f64 (fma.f64 b d (*.f64 a c)) (pow.f64 (pow.f64 (cbrt.f64 (hypot.f64 c d)) 2) 2)) (pow.f64 (cbrt.f64 (hypot.f64 c d)) 2))
(/.f64 (/.f64 (/.f64 (fma.f64 b d (*.f64 a c)) (hypot.f64 c d)) 1) (hypot.f64 c d))
(/.f64 (/.f64 (/.f64 (fma.f64 b d (*.f64 a c)) (hypot.f64 c d)) (pow.f64 (cbrt.f64 (hypot.f64 c d)) 2)) (cbrt.f64 (hypot.f64 c d)))
(pow.f64 (*.f64 (fma.f64 b d (*.f64 a c)) (pow.f64 (hypot.f64 c d) -2)) 1)
(pow.f64 (cbrt.f64 (*.f64 (fma.f64 b d (*.f64 a c)) (pow.f64 (hypot.f64 c d) -2))) 3)
(pow.f64 (pow.f64 (*.f64 (fma.f64 b d (*.f64 a c)) (pow.f64 (hypot.f64 c d) -2)) 3) 1/3)
(pow.f64 (/.f64 (sqrt.f64 (fma.f64 b d (*.f64 a c))) (hypot.f64 c d)) 2)
(pow.f64 (/.f64 (pow.f64 (hypot.f64 c d) 2) (fma.f64 b d (*.f64 a c))) -1)
(neg.f64 (/.f64 (fma.f64 b d (*.f64 a c)) (neg.f64 (pow.f64 (hypot.f64 c d) 2))))
(neg.f64 (/.f64 (neg.f64 (fma.f64 b d (*.f64 a c))) (pow.f64 (hypot.f64 c d) 2)))
(sqrt.f64 (pow.f64 (*.f64 (fma.f64 b d (*.f64 a c)) (pow.f64 (hypot.f64 c d) -2)) 2))
(log.f64 (pow.f64 (exp.f64 (fma.f64 b d (*.f64 a c))) (pow.f64 (hypot.f64 c d) -2)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (fma.f64 b d (*.f64 a c)) (pow.f64 (hypot.f64 c d) -2)))))
(cbrt.f64 (pow.f64 (*.f64 (fma.f64 b d (*.f64 a c)) (pow.f64 (hypot.f64 c d) -2)) 3))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 (fma.f64 b d (*.f64 a c)) (hypot.f64 c d)) 3) (pow.f64 (/.f64 1 (hypot.f64 c d)) 3)))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 1 (hypot.f64 c d)) 3) (pow.f64 (/.f64 (fma.f64 b d (*.f64 a c)) (hypot.f64 c d)) 3)))
(cbrt.f64 (/.f64 (pow.f64 (fma.f64 b d (*.f64 a c)) 3) (pow.f64 (pow.f64 (hypot.f64 c d) 2) 3)))
(cbrt.f64 (/.f64 (pow.f64 (/.f64 (fma.f64 b d (*.f64 a c)) (hypot.f64 c d)) 3) (pow.f64 (hypot.f64 c d) 3)))
(expm1.f64 (log1p.f64 (*.f64 (fma.f64 b d (*.f64 a c)) (pow.f64 (hypot.f64 c d) -2))))
(log1p.f64 (expm1.f64 (*.f64 (fma.f64 b d (*.f64 a c)) (pow.f64 (hypot.f64 c d) -2))))
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(*.f64 (cbrt.f64 (pow.f64 (hypot.f64 c d) -2)) (*.f64 (/.f64 1 (cbrt.f64 (hypot.f64 c d))) (/.f64 (fma.f64 b d (*.f64 a c)) (hypot.f64 c d))))
(*.f64 (cbrt.f64 (*.f64 (fma.f64 b d (*.f64 a c)) (pow.f64 (hypot.f64 c d) -2))) (pow.f64 (cbrt.f64 (*.f64 (fma.f64 b d (*.f64 a c)) (pow.f64 (hypot.f64 c d) -2))) 2))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 (fma.f64 b d (*.f64 a c)) (pow.f64 (hypot.f64 c d) -2))) 2) (cbrt.f64 (*.f64 (fma.f64 b d (*.f64 a c)) (pow.f64 (hypot.f64 c d) -2))))
(*.f64 (sqrt.f64 (fma.f64 b d (*.f64 a c))) (/.f64 (sqrt.f64 (fma.f64 b d (*.f64 a c))) (pow.f64 (hypot.f64 c d) 2)))
(*.f64 (sqrt.f64 (fma.f64 b d (*.f64 a c))) (*.f64 (sqrt.f64 (fma.f64 b d (*.f64 a c))) (pow.f64 (hypot.f64 c d) -2)))
(*.f64 (sqrt.f64 (/.f64 (fma.f64 b d (*.f64 a c)) (hypot.f64 c d))) (/.f64 (sqrt.f64 (/.f64 (fma.f64 b d (*.f64 a c)) (hypot.f64 c d))) (hypot.f64 c d)))
(*.f64 (sqrt.f64 (/.f64 (fma.f64 b d (*.f64 a c)) (hypot.f64 c d))) (*.f64 (sqrt.f64 (/.f64 (fma.f64 b d (*.f64 a c)) (hypot.f64 c d))) (/.f64 1 (hypot.f64 c d))))
(*.f64 (pow.f64 (hypot.f64 c d) -1/2) (/.f64 (/.f64 (fma.f64 b d (*.f64 a c)) (hypot.f64 c d)) (sqrt.f64 (hypot.f64 c d))))
(*.f64 (pow.f64 (hypot.f64 c d) -1/2) (*.f64 (pow.f64 (hypot.f64 c d) -1/2) (/.f64 (fma.f64 b d (*.f64 a c)) (hypot.f64 c d))))
(*.f64 (/.f64 (sqrt.f64 (fma.f64 b d (*.f64 a c))) (hypot.f64 c d)) (/.f64 (sqrt.f64 (fma.f64 b d (*.f64 a c))) (hypot.f64 c d)))
(*.f64 (neg.f64 (fma.f64 b d (*.f64 a c))) (/.f64 1 (neg.f64 (pow.f64 (hypot.f64 c d) 2))))
(*.f64 (pow.f64 (hypot.f64 c d) -2) (fma.f64 b d (*.f64 a c)))
(*.f64 (/.f64 1 (pow.f64 (pow.f64 (cbrt.f64 (hypot.f64 c d)) 2) 2)) (/.f64 (fma.f64 b d (*.f64 a c)) (pow.f64 (cbrt.f64 (hypot.f64 c d)) 2)))
(*.f64 (/.f64 (fma.f64 b d (*.f64 a c)) (pow.f64 (cbrt.f64 (hypot.f64 c d)) 2)) (/.f64 (/.f64 1 (hypot.f64 c d)) (cbrt.f64 (hypot.f64 c d))))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (fma.f64 b d (*.f64 a c)) 2)) (hypot.f64 c d)) (/.f64 (cbrt.f64 (fma.f64 b d (*.f64 a c))) (hypot.f64 c d)))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (fma.f64 b d (*.f64 a c)) 2)) 1) (/.f64 (cbrt.f64 (fma.f64 b d (*.f64 a c))) (pow.f64 (hypot.f64 c d) 2)))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (fma.f64 b d (*.f64 a c)) 2)) (pow.f64 (pow.f64 (cbrt.f64 (hypot.f64 c d)) 2) 2)) (cbrt.f64 (*.f64 (fma.f64 b d (*.f64 a c)) (pow.f64 (hypot.f64 c d) -2))))
(*.f64 (/.f64 (sqrt.f64 (fma.f64 b d (*.f64 a c))) 1) (/.f64 (sqrt.f64 (fma.f64 b d (*.f64 a c))) (pow.f64 (hypot.f64 c d) 2)))
(*.f64 (/.f64 (sqrt.f64 (fma.f64 b d (*.f64 a c))) (pow.f64 (pow.f64 (cbrt.f64 (hypot.f64 c d)) 2) 2)) (/.f64 (sqrt.f64 (fma.f64 b d (*.f64 a c))) (pow.f64 (cbrt.f64 (hypot.f64 c d)) 2)))
(*.f64 (/.f64 (fma.f64 b d (*.f64 a c)) 1) (pow.f64 (hypot.f64 c d) -2))
(*.f64 (/.f64 (fma.f64 b d (*.f64 a c)) (sqrt.f64 (hypot.f64 c d))) (/.f64 (/.f64 1 (hypot.f64 c d)) (sqrt.f64 (hypot.f64 c d))))
(*.f64 (/.f64 (/.f64 1 (hypot.f64 c d)) (sqrt.f64 (hypot.f64 c d))) (/.f64 (fma.f64 b d (*.f64 a c)) (sqrt.f64 (hypot.f64 c d))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (hypot.f64 c d)) 2)) (/.f64 (/.f64 (fma.f64 b d (*.f64 a c)) (hypot.f64 c d)) (cbrt.f64 (hypot.f64 c d))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 (fma.f64 b d (*.f64 a c)) (hypot.f64 c d))) 2) 1) (/.f64 (cbrt.f64 (/.f64 (fma.f64 b d (*.f64 a c)) (hypot.f64 c d))) (hypot.f64 c d)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 (fma.f64 b d (*.f64 a c)) (hypot.f64 c d))) 2) (pow.f64 (cbrt.f64 (hypot.f64 c d)) 2)) (cbrt.f64 (*.f64 (fma.f64 b d (*.f64 a c)) (pow.f64 (hypot.f64 c d) -2))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 (fma.f64 b d (*.f64 a c)) (hypot.f64 c d))) 2) (sqrt.f64 (hypot.f64 c d))) (/.f64 (cbrt.f64 (/.f64 (fma.f64 b d (*.f64 a c)) (hypot.f64 c d))) (sqrt.f64 (hypot.f64 c d))))
(*.f64 (/.f64 (sqrt.f64 (/.f64 (fma.f64 b d (*.f64 a c)) (hypot.f64 c d))) 1) (/.f64 (sqrt.f64 (/.f64 (fma.f64 b d (*.f64 a c)) (hypot.f64 c d))) (hypot.f64 c d)))
(*.f64 (/.f64 (sqrt.f64 (/.f64 (fma.f64 b d (*.f64 a c)) (hypot.f64 c d))) (pow.f64 (cbrt.f64 (hypot.f64 c d)) 2)) (/.f64 (sqrt.f64 (/.f64 (fma.f64 b d (*.f64 a c)) (hypot.f64 c d))) (cbrt.f64 (hypot.f64 c d))))
(*.f64 (/.f64 (/.f64 1 (hypot.f64 c d)) 1) (/.f64 (fma.f64 b d (*.f64 a c)) (hypot.f64 c d)))
(*.f64 (/.f64 (/.f64 1 (hypot.f64 c d)) (pow.f64 (cbrt.f64 (hypot.f64 c d)) 2)) (/.f64 (fma.f64 b d (*.f64 a c)) (cbrt.f64 (hypot.f64 c d))))
(*.f64 (*.f64 (/.f64 (fma.f64 b d (*.f64 a c)) (hypot.f64 c d)) (cbrt.f64 (pow.f64 (hypot.f64 c d) -2))) (/.f64 1 (cbrt.f64 (hypot.f64 c d))))
(*.f64 (*.f64 (/.f64 (fma.f64 b d (*.f64 a c)) (hypot.f64 c d)) (pow.f64 (hypot.f64 c d) -1/2)) (pow.f64 (hypot.f64 c d) -1/2))
(*.f64 (*.f64 (/.f64 1 (hypot.f64 c d)) (pow.f64 (cbrt.f64 (/.f64 (fma.f64 b d (*.f64 a c)) (hypot.f64 c d))) 2)) (cbrt.f64 (/.f64 (fma.f64 b d (*.f64 a c)) (hypot.f64 c d))))
(*.f64 (*.f64 (/.f64 1 (hypot.f64 c d)) (sqrt.f64 (/.f64 (fma.f64 b d (*.f64 a c)) (hypot.f64 c d)))) (sqrt.f64 (/.f64 (fma.f64 b d (*.f64 a c)) (hypot.f64 c d))))
(*.f64 (/.f64 (fma.f64 b d (*.f64 a c)) (+.f64 (pow.f64 c 6) (pow.f64 d 6))) (-.f64 (+.f64 (pow.f64 c 4) (pow.f64 d 4)) (pow.f64 (*.f64 c d) 2)))
(*.f64 (/.f64 (fma.f64 b d (*.f64 a c)) (-.f64 (pow.f64 c 4) (pow.f64 d 4))) (-.f64 (pow.f64 c 2) (pow.f64 d 2)))
(pow.f64 (*.f64 (fma.f64 b d (*.f64 a c)) (pow.f64 (hypot.f64 c d) -2)) 1)
(pow.f64 (cbrt.f64 (*.f64 (fma.f64 b d (*.f64 a c)) (pow.f64 (hypot.f64 c d) -2))) 3)
(pow.f64 (pow.f64 (*.f64 (fma.f64 b d (*.f64 a c)) (pow.f64 (hypot.f64 c d) -2)) 3) 1/3)
(pow.f64 (/.f64 (sqrt.f64 (fma.f64 b d (*.f64 a c))) (hypot.f64 c d)) 2)
(pow.f64 (/.f64 (pow.f64 (hypot.f64 c d) 2) (fma.f64 b d (*.f64 a c))) -1)
(neg.f64 (/.f64 (fma.f64 b d (*.f64 a c)) (neg.f64 (pow.f64 (hypot.f64 c d) 2))))
(neg.f64 (/.f64 (neg.f64 (fma.f64 b d (*.f64 a c))) (pow.f64 (hypot.f64 c d) 2)))
(sqrt.f64 (pow.f64 (*.f64 (fma.f64 b d (*.f64 a c)) (pow.f64 (hypot.f64 c d) -2)) 2))
(log.f64 (pow.f64 (exp.f64 (fma.f64 b d (*.f64 a c))) (pow.f64 (hypot.f64 c d) -2)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (fma.f64 b d (*.f64 a c)) (pow.f64 (hypot.f64 c d) -2)))))
(cbrt.f64 (pow.f64 (*.f64 (fma.f64 b d (*.f64 a c)) (pow.f64 (hypot.f64 c d) -2)) 3))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 (fma.f64 b d (*.f64 a c)) (hypot.f64 c d)) 3) (pow.f64 (/.f64 1 (hypot.f64 c d)) 3)))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 1 (hypot.f64 c d)) 3) (pow.f64 (/.f64 (fma.f64 b d (*.f64 a c)) (hypot.f64 c d)) 3)))
(cbrt.f64 (/.f64 (pow.f64 (fma.f64 b d (*.f64 a c)) 3) (pow.f64 (pow.f64 (hypot.f64 c d) 2) 3)))
(cbrt.f64 (/.f64 (pow.f64 (/.f64 (fma.f64 b d (*.f64 a c)) (hypot.f64 c d)) 3) (pow.f64 (hypot.f64 c d) 3)))
(expm1.f64 (log1p.f64 (*.f64 (fma.f64 b d (*.f64 a c)) (pow.f64 (hypot.f64 c d) -2))))
(log1p.f64 (expm1.f64 (*.f64 (fma.f64 b d (*.f64 a c)) (pow.f64 (hypot.f64 c d) -2))))
(exp.f64 (log.f64 (*.f64 (fma.f64 b d (*.f64 a c)) (pow.f64 (hypot.f64 c d) -2))))
(exp.f64 (*.f64 (log.f64 (*.f64 (fma.f64 b d (*.f64 a c)) (pow.f64 (hypot.f64 c d) -2))) 1))

simplify331.0ms (3.5%)

Algorithm
egg-herbie
Rules
1156×log-prod
1006×times-frac
764×associate-/l*
666×*-commutative
538×fma-neg
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
079034066
1205031913
2715431913
Stop Event
node limit
Counts
644 → 505
Calls
Call 1
Inputs
(*.f64 (*.f64 b d) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 c 2) (pow.f64 d 2)))))
(+.f64 (*.f64 (*.f64 a c) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 c 2) (pow.f64 d 2))))) (*.f64 (*.f64 b d) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 c 2) (pow.f64 d 2))))))
(+.f64 (*.f64 (*.f64 a c) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 c 2) (pow.f64 d 2))))) (*.f64 (*.f64 b d) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 c 2) (pow.f64 d 2))))))
(+.f64 (*.f64 (*.f64 a c) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 c 2) (pow.f64 d 2))))) (*.f64 (*.f64 b d) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 c 2) (pow.f64 d 2))))))
(*.f64 (*.f64 a c) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 c 2) (pow.f64 d 2)))))
(+.f64 (*.f64 (*.f64 a c) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 c 2) (pow.f64 d 2))))) (*.f64 (*.f64 b d) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 c 2) (pow.f64 d 2))))))
(+.f64 (*.f64 (*.f64 a c) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 c 2) (pow.f64 d 2))))) (*.f64 (*.f64 b d) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 c 2) (pow.f64 d 2))))))
(+.f64 (*.f64 (*.f64 a c) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 c 2) (pow.f64 d 2))))) (*.f64 (*.f64 b d) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 c 2) (pow.f64 d 2))))))
(*.f64 (*.f64 a c) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 c 2) (pow.f64 d 2)))))
(+.f64 (*.f64 (*.f64 a c) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 c 2) (pow.f64 d 2))))) (*.f64 (*.f64 b d) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 c 2) (pow.f64 d 2))))))
(+.f64 (*.f64 (*.f64 a c) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 c 2) (pow.f64 d 2))))) (*.f64 (*.f64 b d) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 c 2) (pow.f64 d 2))))))
(+.f64 (*.f64 (*.f64 a c) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 c 2) (pow.f64 d 2))))) (*.f64 (*.f64 b d) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 c 2) (pow.f64 d 2))))))
b
(+.f64 b (/.f64 (*.f64 a c) d))
(+.f64 b (+.f64 (*.f64 -1/2 (/.f64 (*.f64 b (pow.f64 c 2)) (pow.f64 d 2))) (/.f64 (*.f64 a c) d)))
(+.f64 b (+.f64 (*.f64 -1/2 (/.f64 (*.f64 a (pow.f64 c 3)) (pow.f64 d 3))) (+.f64 (*.f64 -1/2 (/.f64 (*.f64 b (pow.f64 c 2)) (pow.f64 d 2))) (/.f64 (*.f64 a c) d))))
a
(+.f64 a (/.f64 (*.f64 b d) c))
(+.f64 a (+.f64 (*.f64 -1/2 (/.f64 (*.f64 a (pow.f64 d 2)) (pow.f64 c 2))) (/.f64 (*.f64 b d) c)))
(+.f64 a (+.f64 (*.f64 -1/2 (/.f64 (*.f64 a (pow.f64 d 2)) (pow.f64 c 2))) (+.f64 (*.f64 -1/2 (/.f64 (*.f64 b (pow.f64 d 3)) (pow.f64 c 3))) (/.f64 (*.f64 b d) c))))
(*.f64 -1 a)
(+.f64 (*.f64 -1 a) (*.f64 -1 (/.f64 (*.f64 b d) c)))
(+.f64 (*.f64 -1 a) (+.f64 (*.f64 -1 (/.f64 (*.f64 b d) c)) (*.f64 1/2 (/.f64 (*.f64 a (pow.f64 d 2)) (pow.f64 c 2)))))
(+.f64 (*.f64 -1 a) (+.f64 (*.f64 -1 (/.f64 (*.f64 b d) c)) (+.f64 (*.f64 1/2 (/.f64 (*.f64 a (pow.f64 d 2)) (pow.f64 c 2))) (*.f64 1/2 (/.f64 (*.f64 b (pow.f64 d 3)) (pow.f64 c 3))))))
(*.f64 (*.f64 a c) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 c 2) (pow.f64 d 2)))))
(+.f64 (*.f64 (*.f64 a c) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 c 2) (pow.f64 d 2))))) (*.f64 (*.f64 b d) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 c 2) (pow.f64 d 2))))))
(+.f64 (*.f64 (*.f64 a c) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 c 2) (pow.f64 d 2))))) (*.f64 (*.f64 b d) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 c 2) (pow.f64 d 2))))))
(+.f64 (*.f64 (*.f64 a c) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 c 2) (pow.f64 d 2))))) (*.f64 (*.f64 b d) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 c 2) (pow.f64 d 2))))))
(*.f64 (*.f64 b d) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 c 2) (pow.f64 d 2)))))
(+.f64 (*.f64 (*.f64 a c) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 c 2) (pow.f64 d 2))))) (*.f64 (*.f64 b d) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 c 2) (pow.f64 d 2))))))
(+.f64 (*.f64 (*.f64 a c) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 c 2) (pow.f64 d 2))))) (*.f64 (*.f64 b d) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 c 2) (pow.f64 d 2))))))
(+.f64 (*.f64 (*.f64 a c) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 c 2) (pow.f64 d 2))))) (*.f64 (*.f64 b d) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 c 2) (pow.f64 d 2))))))
(*.f64 (*.f64 b d) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 c 2) (pow.f64 d 2)))))
(+.f64 (*.f64 (*.f64 a c) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 c 2) (pow.f64 d 2))))) (*.f64 (*.f64 b d) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 c 2) (pow.f64 d 2))))))
(+.f64 (*.f64 (*.f64 a c) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 c 2) (pow.f64 d 2))))) (*.f64 (*.f64 b d) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 c 2) (pow.f64 d 2))))))
(+.f64 (*.f64 (*.f64 a c) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 c 2) (pow.f64 d 2))))) (*.f64 (*.f64 b d) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 c 2) (pow.f64 d 2))))))
a
(+.f64 a (/.f64 (*.f64 b d) c))
(+.f64 a (+.f64 (*.f64 -1/2 (/.f64 (*.f64 a (pow.f64 d 2)) (pow.f64 c 2))) (/.f64 (*.f64 b d) c)))
(+.f64 a (+.f64 (*.f64 -1/2 (/.f64 (*.f64 a (pow.f64 d 2)) (pow.f64 c 2))) (+.f64 (*.f64 -1/2 (/.f64 (*.f64 b (pow.f64 d 3)) (pow.f64 c 3))) (/.f64 (*.f64 b d) c))))
b
(+.f64 b (/.f64 (*.f64 a c) d))
(+.f64 b (+.f64 (*.f64 -1/2 (/.f64 (*.f64 b (pow.f64 c 2)) (pow.f64 d 2))) (/.f64 (*.f64 a c) d)))
(+.f64 b (+.f64 (*.f64 -1/2 (/.f64 (*.f64 a (pow.f64 c 3)) (pow.f64 d 3))) (+.f64 (*.f64 -1/2 (/.f64 (*.f64 b (pow.f64 c 2)) (pow.f64 d 2))) (/.f64 (*.f64 a c) d))))
(*.f64 -1 b)
(+.f64 (*.f64 -1 b) (*.f64 -1 (/.f64 (*.f64 a c) d)))
(+.f64 (*.f64 -1 b) (+.f64 (*.f64 -1 (/.f64 (*.f64 a c) d)) (*.f64 1/2 (/.f64 (*.f64 b (pow.f64 c 2)) (pow.f64 d 2)))))
(+.f64 (*.f64 -1 b) (+.f64 (*.f64 -1 (/.f64 (*.f64 a c) d)) (+.f64 (*.f64 1/2 (/.f64 (*.f64 a (pow.f64 c 3)) (pow.f64 d 3))) (*.f64 1/2 (/.f64 (*.f64 b (pow.f64 c 2)) (pow.f64 d 2))))))
(*.f64 b d)
(+.f64 (*.f64 a c) (*.f64 b d))
(+.f64 (*.f64 a c) (*.f64 b d))
(+.f64 (*.f64 a c) (*.f64 b d))
(*.f64 a c)
(+.f64 (*.f64 a c) (*.f64 b d))
(+.f64 (*.f64 a c) (*.f64 b d))
(+.f64 (*.f64 a c) (*.f64 b d))
(*.f64 a c)
(+.f64 (*.f64 a c) (*.f64 b d))
(+.f64 (*.f64 a c) (*.f64 b d))
(+.f64 (*.f64 a c) (*.f64 b d))
(*.f64 b d)
(+.f64 (*.f64 a c) (*.f64 b d))
(+.f64 (*.f64 a c) (*.f64 b d))
(+.f64 (*.f64 a c) (*.f64 b d))
(*.f64 a c)
(+.f64 (*.f64 a c) (*.f64 b d))
(+.f64 (*.f64 a c) (*.f64 b d))
(+.f64 (*.f64 a c) (*.f64 b d))
(*.f64 a c)
(+.f64 (*.f64 a c) (*.f64 b d))
(+.f64 (*.f64 a c) (*.f64 b d))
(+.f64 (*.f64 a c) (*.f64 b d))
(*.f64 a c)
(+.f64 (*.f64 a c) (*.f64 b d))
(+.f64 (*.f64 a c) (*.f64 b d))
(+.f64 (*.f64 a c) (*.f64 b d))
(*.f64 b d)
(+.f64 (*.f64 a c) (*.f64 b d))
(+.f64 (*.f64 a c) (*.f64 b d))
(+.f64 (*.f64 a c) (*.f64 b d))
(*.f64 b d)
(+.f64 (*.f64 a c) (*.f64 b d))
(+.f64 (*.f64 a c) (*.f64 b d))
(+.f64 (*.f64 a c) (*.f64 b d))
(*.f64 a c)
(+.f64 (*.f64 a c) (*.f64 b d))
(+.f64 (*.f64 a c) (*.f64 b d))
(+.f64 (*.f64 a c) (*.f64 b d))
(*.f64 b d)
(+.f64 (*.f64 a c) (*.f64 b d))
(+.f64 (*.f64 a c) (*.f64 b d))
(+.f64 (*.f64 a c) (*.f64 b d))
(*.f64 b d)
(+.f64 (*.f64 a c) (*.f64 b d))
(+.f64 (*.f64 a c) (*.f64 b d))
(+.f64 (*.f64 a c) (*.f64 b d))
(/.f64 b d)
(+.f64 (/.f64 b d) (/.f64 (*.f64 a c) (pow.f64 d 2)))
(+.f64 (*.f64 -1 (/.f64 (*.f64 b (pow.f64 c 2)) (pow.f64 d 3))) (+.f64 (/.f64 b d) (/.f64 (*.f64 a c) (pow.f64 d 2))))
(+.f64 (*.f64 -1 (/.f64 (*.f64 a (pow.f64 c 3)) (pow.f64 d 4))) (+.f64 (*.f64 -1 (/.f64 (*.f64 b (pow.f64 c 2)) (pow.f64 d 3))) (+.f64 (/.f64 b d) (/.f64 (*.f64 a c) (pow.f64 d 2)))))
(/.f64 a c)
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(*.f64 (/.f64 (fma.f64 b d (*.f64 a c)) (pow.f64 (cbrt.f64 (hypot.f64 c d)) 2)) (/.f64 (/.f64 1 (hypot.f64 c d)) (cbrt.f64 (hypot.f64 c d))))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (fma.f64 b d (*.f64 a c)) 2)) (hypot.f64 c d)) (/.f64 (cbrt.f64 (fma.f64 b d (*.f64 a c))) (hypot.f64 c d)))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (fma.f64 b d (*.f64 a c)) 2)) 1) (/.f64 (cbrt.f64 (fma.f64 b d (*.f64 a c))) (pow.f64 (hypot.f64 c d) 2)))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (fma.f64 b d (*.f64 a c)) 2)) (pow.f64 (pow.f64 (cbrt.f64 (hypot.f64 c d)) 2) 2)) (cbrt.f64 (*.f64 (fma.f64 b d (*.f64 a c)) (pow.f64 (hypot.f64 c d) -2))))
(*.f64 (/.f64 (sqrt.f64 (fma.f64 b d (*.f64 a c))) 1) (/.f64 (sqrt.f64 (fma.f64 b d (*.f64 a c))) (pow.f64 (hypot.f64 c d) 2)))
(*.f64 (/.f64 (sqrt.f64 (fma.f64 b d (*.f64 a c))) (pow.f64 (pow.f64 (cbrt.f64 (hypot.f64 c d)) 2) 2)) (/.f64 (sqrt.f64 (fma.f64 b d (*.f64 a c))) (pow.f64 (cbrt.f64 (hypot.f64 c d)) 2)))
(*.f64 (/.f64 (fma.f64 b d (*.f64 a c)) 1) (pow.f64 (hypot.f64 c d) -2))
(*.f64 (/.f64 (fma.f64 b d (*.f64 a c)) (sqrt.f64 (hypot.f64 c d))) (/.f64 (/.f64 1 (hypot.f64 c d)) (sqrt.f64 (hypot.f64 c d))))
(*.f64 (/.f64 (/.f64 1 (hypot.f64 c d)) (sqrt.f64 (hypot.f64 c d))) (/.f64 (fma.f64 b d (*.f64 a c)) (sqrt.f64 (hypot.f64 c d))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (hypot.f64 c d)) 2)) (/.f64 (/.f64 (fma.f64 b d (*.f64 a c)) (hypot.f64 c d)) (cbrt.f64 (hypot.f64 c d))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 (fma.f64 b d (*.f64 a c)) (hypot.f64 c d))) 2) 1) (/.f64 (cbrt.f64 (/.f64 (fma.f64 b d (*.f64 a c)) (hypot.f64 c d))) (hypot.f64 c d)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 (fma.f64 b d (*.f64 a c)) (hypot.f64 c d))) 2) (pow.f64 (cbrt.f64 (hypot.f64 c d)) 2)) (cbrt.f64 (*.f64 (fma.f64 b d (*.f64 a c)) (pow.f64 (hypot.f64 c d) -2))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 (fma.f64 b d (*.f64 a c)) (hypot.f64 c d))) 2) (sqrt.f64 (hypot.f64 c d))) (/.f64 (cbrt.f64 (/.f64 (fma.f64 b d (*.f64 a c)) (hypot.f64 c d))) (sqrt.f64 (hypot.f64 c d))))
(*.f64 (/.f64 (sqrt.f64 (/.f64 (fma.f64 b d (*.f64 a c)) (hypot.f64 c d))) 1) (/.f64 (sqrt.f64 (/.f64 (fma.f64 b d (*.f64 a c)) (hypot.f64 c d))) (hypot.f64 c d)))
(*.f64 (/.f64 (sqrt.f64 (/.f64 (fma.f64 b d (*.f64 a c)) (hypot.f64 c d))) (pow.f64 (cbrt.f64 (hypot.f64 c d)) 2)) (/.f64 (sqrt.f64 (/.f64 (fma.f64 b d (*.f64 a c)) (hypot.f64 c d))) (cbrt.f64 (hypot.f64 c d))))
(*.f64 (/.f64 (/.f64 1 (hypot.f64 c d)) 1) (/.f64 (fma.f64 b d (*.f64 a c)) (hypot.f64 c d)))
(*.f64 (/.f64 (/.f64 1 (hypot.f64 c d)) (pow.f64 (cbrt.f64 (hypot.f64 c d)) 2)) (/.f64 (fma.f64 b d (*.f64 a c)) (cbrt.f64 (hypot.f64 c d))))
(*.f64 (*.f64 (/.f64 (fma.f64 b d (*.f64 a c)) (hypot.f64 c d)) (cbrt.f64 (pow.f64 (hypot.f64 c d) -2))) (/.f64 1 (cbrt.f64 (hypot.f64 c d))))
(*.f64 (*.f64 (/.f64 (fma.f64 b d (*.f64 a c)) (hypot.f64 c d)) (pow.f64 (hypot.f64 c d) -1/2)) (pow.f64 (hypot.f64 c d) -1/2))
(*.f64 (*.f64 (/.f64 1 (hypot.f64 c d)) (pow.f64 (cbrt.f64 (/.f64 (fma.f64 b d (*.f64 a c)) (hypot.f64 c d))) 2)) (cbrt.f64 (/.f64 (fma.f64 b d (*.f64 a c)) (hypot.f64 c d))))
(*.f64 (*.f64 (/.f64 1 (hypot.f64 c d)) (sqrt.f64 (/.f64 (fma.f64 b d (*.f64 a c)) (hypot.f64 c d)))) (sqrt.f64 (/.f64 (fma.f64 b d (*.f64 a c)) (hypot.f64 c d))))
(*.f64 (/.f64 (fma.f64 b d (*.f64 a c)) (+.f64 (pow.f64 c 6) (pow.f64 d 6))) (-.f64 (+.f64 (pow.f64 c 4) (pow.f64 d 4)) (pow.f64 (*.f64 c d) 2)))
(*.f64 (/.f64 (fma.f64 b d (*.f64 a c)) (-.f64 (pow.f64 c 4) (pow.f64 d 4))) (-.f64 (pow.f64 c 2) (pow.f64 d 2)))
(pow.f64 (*.f64 (fma.f64 b d (*.f64 a c)) (pow.f64 (hypot.f64 c d) -2)) 1)
(pow.f64 (cbrt.f64 (*.f64 (fma.f64 b d (*.f64 a c)) (pow.f64 (hypot.f64 c d) -2))) 3)
(pow.f64 (pow.f64 (*.f64 (fma.f64 b d (*.f64 a c)) (pow.f64 (hypot.f64 c d) -2)) 3) 1/3)
(pow.f64 (/.f64 (sqrt.f64 (fma.f64 b d (*.f64 a c))) (hypot.f64 c d)) 2)
(pow.f64 (/.f64 (pow.f64 (hypot.f64 c d) 2) (fma.f64 b d (*.f64 a c))) -1)
(neg.f64 (/.f64 (fma.f64 b d (*.f64 a c)) (neg.f64 (pow.f64 (hypot.f64 c d) 2))))
(neg.f64 (/.f64 (neg.f64 (fma.f64 b d (*.f64 a c))) (pow.f64 (hypot.f64 c d) 2)))
(sqrt.f64 (pow.f64 (*.f64 (fma.f64 b d (*.f64 a c)) (pow.f64 (hypot.f64 c d) -2)) 2))
(log.f64 (pow.f64 (exp.f64 (fma.f64 b d (*.f64 a c))) (pow.f64 (hypot.f64 c d) -2)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (fma.f64 b d (*.f64 a c)) (pow.f64 (hypot.f64 c d) -2)))))
(cbrt.f64 (pow.f64 (*.f64 (fma.f64 b d (*.f64 a c)) (pow.f64 (hypot.f64 c d) -2)) 3))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 (fma.f64 b d (*.f64 a c)) (hypot.f64 c d)) 3) (pow.f64 (/.f64 1 (hypot.f64 c d)) 3)))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 1 (hypot.f64 c d)) 3) (pow.f64 (/.f64 (fma.f64 b d (*.f64 a c)) (hypot.f64 c d)) 3)))
(cbrt.f64 (/.f64 (pow.f64 (fma.f64 b d (*.f64 a c)) 3) (pow.f64 (pow.f64 (hypot.f64 c d) 2) 3)))
(cbrt.f64 (/.f64 (pow.f64 (/.f64 (fma.f64 b d (*.f64 a c)) (hypot.f64 c d)) 3) (pow.f64 (hypot.f64 c d) 3)))
(expm1.f64 (log1p.f64 (*.f64 (fma.f64 b d (*.f64 a c)) (pow.f64 (hypot.f64 c d) -2))))
(log1p.f64 (expm1.f64 (*.f64 (fma.f64 b d (*.f64 a c)) (pow.f64 (hypot.f64 c d) -2))))
(exp.f64 (log.f64 (*.f64 (fma.f64 b d (*.f64 a c)) (pow.f64 (hypot.f64 c d) -2))))
(exp.f64 (*.f64 (log.f64 (*.f64 (fma.f64 b d (*.f64 a c)) (pow.f64 (hypot.f64 c d) -2))) 1))
Outputs
(*.f64 (*.f64 b d) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 c 2) (pow.f64 d 2)))))
(*.f64 (*.f64 b d) (sqrt.f64 (/.f64 1 (pow.f64 (hypot.f64 d c) 2))))
(+.f64 (*.f64 (*.f64 a c) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 c 2) (pow.f64 d 2))))) (*.f64 (*.f64 b d) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 c 2) (pow.f64 d 2))))))
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 c 2) (pow.f64 d 2)))) (fma.f64 b d (*.f64 c a)))
(*.f64 (sqrt.f64 (/.f64 1 (pow.f64 (hypot.f64 d c) 2))) (fma.f64 b d (*.f64 c a)))
(+.f64 (*.f64 (*.f64 a c) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 c 2) (pow.f64 d 2))))) (*.f64 (*.f64 b d) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 c 2) (pow.f64 d 2))))))
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 c 2) (pow.f64 d 2)))) (fma.f64 b d (*.f64 c a)))
(*.f64 (sqrt.f64 (/.f64 1 (pow.f64 (hypot.f64 d c) 2))) (fma.f64 b d (*.f64 c a)))
(+.f64 (*.f64 (*.f64 a c) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 c 2) (pow.f64 d 2))))) (*.f64 (*.f64 b d) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 c 2) (pow.f64 d 2))))))
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 c 2) (pow.f64 d 2)))) (fma.f64 b d (*.f64 c a)))
(*.f64 (sqrt.f64 (/.f64 1 (pow.f64 (hypot.f64 d c) 2))) (fma.f64 b d (*.f64 c a)))
(*.f64 (*.f64 a c) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 c 2) (pow.f64 d 2)))))
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 c 2) (pow.f64 d 2)))) (*.f64 c a))
(*.f64 (sqrt.f64 (/.f64 1 (pow.f64 (hypot.f64 d c) 2))) (*.f64 c a))
(+.f64 (*.f64 (*.f64 a c) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 c 2) (pow.f64 d 2))))) (*.f64 (*.f64 b d) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 c 2) (pow.f64 d 2))))))
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 c 2) (pow.f64 d 2)))) (fma.f64 b d (*.f64 c a)))
(*.f64 (sqrt.f64 (/.f64 1 (pow.f64 (hypot.f64 d c) 2))) (fma.f64 b d (*.f64 c a)))
(+.f64 (*.f64 (*.f64 a c) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 c 2) (pow.f64 d 2))))) (*.f64 (*.f64 b d) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 c 2) (pow.f64 d 2))))))
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 c 2) (pow.f64 d 2)))) (fma.f64 b d (*.f64 c a)))
(*.f64 (sqrt.f64 (/.f64 1 (pow.f64 (hypot.f64 d c) 2))) (fma.f64 b d (*.f64 c a)))
(+.f64 (*.f64 (*.f64 a c) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 c 2) (pow.f64 d 2))))) (*.f64 (*.f64 b d) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 c 2) (pow.f64 d 2))))))
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 c 2) (pow.f64 d 2)))) (fma.f64 b d (*.f64 c a)))
(*.f64 (sqrt.f64 (/.f64 1 (pow.f64 (hypot.f64 d c) 2))) (fma.f64 b d (*.f64 c a)))
(*.f64 (*.f64 a c) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 c 2) (pow.f64 d 2)))))
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 c 2) (pow.f64 d 2)))) (*.f64 c a))
(*.f64 (sqrt.f64 (/.f64 1 (pow.f64 (hypot.f64 d c) 2))) (*.f64 c a))
(+.f64 (*.f64 (*.f64 a c) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 c 2) (pow.f64 d 2))))) (*.f64 (*.f64 b d) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 c 2) (pow.f64 d 2))))))
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 c 2) (pow.f64 d 2)))) (fma.f64 b d (*.f64 c a)))
(*.f64 (sqrt.f64 (/.f64 1 (pow.f64 (hypot.f64 d c) 2))) (fma.f64 b d (*.f64 c a)))
(+.f64 (*.f64 (*.f64 a c) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 c 2) (pow.f64 d 2))))) (*.f64 (*.f64 b d) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 c 2) (pow.f64 d 2))))))
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 c 2) (pow.f64 d 2)))) (fma.f64 b d (*.f64 c a)))
(*.f64 (sqrt.f64 (/.f64 1 (pow.f64 (hypot.f64 d c) 2))) (fma.f64 b d (*.f64 c a)))
(+.f64 (*.f64 (*.f64 a c) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 c 2) (pow.f64 d 2))))) (*.f64 (*.f64 b d) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 c 2) (pow.f64 d 2))))))
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 c 2) (pow.f64 d 2)))) (fma.f64 b d (*.f64 c a)))
(*.f64 (sqrt.f64 (/.f64 1 (pow.f64 (hypot.f64 d c) 2))) (fma.f64 b d (*.f64 c a)))
b
(+.f64 b (/.f64 (*.f64 a c) d))
(+.f64 b (*.f64 a (/.f64 c d)))
(fma.f64 a (/.f64 c d) b)
(+.f64 b (+.f64 (*.f64 -1/2 (/.f64 (*.f64 b (pow.f64 c 2)) (pow.f64 d 2))) (/.f64 (*.f64 a c) d)))
(+.f64 b (fma.f64 -1/2 (*.f64 b (/.f64 (pow.f64 c 2) (pow.f64 d 2))) (*.f64 a (/.f64 c d))))
(+.f64 (fma.f64 a (/.f64 c d) b) (*.f64 -1/2 (*.f64 b (/.f64 (pow.f64 c 2) (pow.f64 d 2)))))
(+.f64 b (+.f64 (*.f64 -1/2 (/.f64 (*.f64 a (pow.f64 c 3)) (pow.f64 d 3))) (+.f64 (*.f64 -1/2 (/.f64 (*.f64 b (pow.f64 c 2)) (pow.f64 d 2))) (/.f64 (*.f64 a c) d))))
(+.f64 b (fma.f64 -1/2 (*.f64 a (/.f64 (pow.f64 c 3) (pow.f64 d 3))) (fma.f64 -1/2 (*.f64 b (/.f64 (pow.f64 c 2) (pow.f64 d 2))) (*.f64 a (/.f64 c d)))))
(+.f64 (*.f64 -1/2 (fma.f64 a (/.f64 (pow.f64 c 3) (pow.f64 d 3)) (*.f64 b (/.f64 (pow.f64 c 2) (pow.f64 d 2))))) (fma.f64 a (/.f64 c d) b))
a
(+.f64 a (/.f64 (*.f64 b d) c))
(+.f64 a (*.f64 b (/.f64 d c)))
(fma.f64 b (/.f64 d c) a)
(+.f64 a (+.f64 (*.f64 -1/2 (/.f64 (*.f64 a (pow.f64 d 2)) (pow.f64 c 2))) (/.f64 (*.f64 b d) c)))
(+.f64 a (fma.f64 -1/2 (*.f64 a (/.f64 (pow.f64 d 2) (pow.f64 c 2))) (*.f64 b (/.f64 d c))))
(+.f64 a (fma.f64 -1/2 (*.f64 (pow.f64 d 2) (/.f64 a (pow.f64 c 2))) (*.f64 b (/.f64 d c))))
(+.f64 a (+.f64 (*.f64 -1/2 (/.f64 (*.f64 a (pow.f64 d 2)) (pow.f64 c 2))) (+.f64 (*.f64 -1/2 (/.f64 (*.f64 b (pow.f64 d 3)) (pow.f64 c 3))) (/.f64 (*.f64 b d) c))))
(+.f64 a (fma.f64 -1/2 (*.f64 a (/.f64 (pow.f64 d 2) (pow.f64 c 2))) (fma.f64 -1/2 (*.f64 b (/.f64 (pow.f64 d 3) (pow.f64 c 3))) (*.f64 b (/.f64 d c)))))
(+.f64 (*.f64 -1/2 (fma.f64 a (/.f64 (pow.f64 d 2) (pow.f64 c 2)) (*.f64 b (/.f64 (pow.f64 d 3) (pow.f64 c 3))))) (fma.f64 b (/.f64 d c) a))
(*.f64 -1 a)
(neg.f64 a)
(+.f64 (*.f64 -1 a) (*.f64 -1 (/.f64 (*.f64 b d) c)))
(*.f64 -1 (+.f64 a (*.f64 b (/.f64 d c))))
(neg.f64 (fma.f64 b (/.f64 d c) a))
(+.f64 (*.f64 -1 a) (+.f64 (*.f64 -1 (/.f64 (*.f64 b d) c)) (*.f64 1/2 (/.f64 (*.f64 a (pow.f64 d 2)) (pow.f64 c 2)))))
(fma.f64 -1 a (fma.f64 -1 (*.f64 b (/.f64 d c)) (/.f64 (*.f64 1/2 (*.f64 (pow.f64 d 2) a)) (pow.f64 c 2))))
(fma.f64 -1 (fma.f64 b (/.f64 d c) a) (/.f64 (*.f64 (*.f64 (pow.f64 d 2) a) 1/2) (pow.f64 c 2)))
(+.f64 (*.f64 -1 a) (+.f64 (*.f64 -1 (/.f64 (*.f64 b d) c)) (+.f64 (*.f64 1/2 (/.f64 (*.f64 a (pow.f64 d 2)) (pow.f64 c 2))) (*.f64 1/2 (/.f64 (*.f64 b (pow.f64 d 3)) (pow.f64 c 3))))))
(fma.f64 -1 a (fma.f64 -1 (*.f64 b (/.f64 d c)) (*.f64 1/2 (+.f64 (*.f64 a (/.f64 (pow.f64 d 2) (pow.f64 c 2))) (*.f64 b (/.f64 (pow.f64 d 3) (pow.f64 c 3)))))))
(fma.f64 -1 (fma.f64 b (/.f64 d c) a) (*.f64 1/2 (fma.f64 a (/.f64 (pow.f64 d 2) (pow.f64 c 2)) (*.f64 b (/.f64 (pow.f64 d 3) (pow.f64 c 3))))))
(*.f64 (*.f64 a c) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 c 2) (pow.f64 d 2)))))
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 c 2) (pow.f64 d 2)))) (*.f64 c a))
(*.f64 (sqrt.f64 (/.f64 1 (pow.f64 (hypot.f64 d c) 2))) (*.f64 c a))
(+.f64 (*.f64 (*.f64 a c) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 c 2) (pow.f64 d 2))))) (*.f64 (*.f64 b d) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 c 2) (pow.f64 d 2))))))
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 c 2) (pow.f64 d 2)))) (fma.f64 b d (*.f64 c a)))
(*.f64 (sqrt.f64 (/.f64 1 (pow.f64 (hypot.f64 d c) 2))) (fma.f64 b d (*.f64 c a)))
(+.f64 (*.f64 (*.f64 a c) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 c 2) (pow.f64 d 2))))) (*.f64 (*.f64 b d) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 c 2) (pow.f64 d 2))))))
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 c 2) (pow.f64 d 2)))) (fma.f64 b d (*.f64 c a)))
(*.f64 (sqrt.f64 (/.f64 1 (pow.f64 (hypot.f64 d c) 2))) (fma.f64 b d (*.f64 c a)))
(+.f64 (*.f64 (*.f64 a c) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 c 2) (pow.f64 d 2))))) (*.f64 (*.f64 b d) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 c 2) (pow.f64 d 2))))))
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 c 2) (pow.f64 d 2)))) (fma.f64 b d (*.f64 c a)))
(*.f64 (sqrt.f64 (/.f64 1 (pow.f64 (hypot.f64 d c) 2))) (fma.f64 b d (*.f64 c a)))
(*.f64 (*.f64 b d) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 c 2) (pow.f64 d 2)))))
(*.f64 (*.f64 b d) (sqrt.f64 (/.f64 1 (pow.f64 (hypot.f64 d c) 2))))
(+.f64 (*.f64 (*.f64 a c) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 c 2) (pow.f64 d 2))))) (*.f64 (*.f64 b d) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 c 2) (pow.f64 d 2))))))
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 c 2) (pow.f64 d 2)))) (fma.f64 b d (*.f64 c a)))
(*.f64 (sqrt.f64 (/.f64 1 (pow.f64 (hypot.f64 d c) 2))) (fma.f64 b d (*.f64 c a)))
(+.f64 (*.f64 (*.f64 a c) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 c 2) (pow.f64 d 2))))) (*.f64 (*.f64 b d) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 c 2) (pow.f64 d 2))))))
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 c 2) (pow.f64 d 2)))) (fma.f64 b d (*.f64 c a)))
(*.f64 (sqrt.f64 (/.f64 1 (pow.f64 (hypot.f64 d c) 2))) (fma.f64 b d (*.f64 c a)))
(+.f64 (*.f64 (*.f64 a c) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 c 2) (pow.f64 d 2))))) (*.f64 (*.f64 b d) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 c 2) (pow.f64 d 2))))))
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 c 2) (pow.f64 d 2)))) (fma.f64 b d (*.f64 c a)))
(*.f64 (sqrt.f64 (/.f64 1 (pow.f64 (hypot.f64 d c) 2))) (fma.f64 b d (*.f64 c a)))
(*.f64 (*.f64 b d) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 c 2) (pow.f64 d 2)))))
(*.f64 (*.f64 b d) (sqrt.f64 (/.f64 1 (pow.f64 (hypot.f64 d c) 2))))
(+.f64 (*.f64 (*.f64 a c) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 c 2) (pow.f64 d 2))))) (*.f64 (*.f64 b d) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 c 2) (pow.f64 d 2))))))
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 c 2) (pow.f64 d 2)))) (fma.f64 b d (*.f64 c a)))
(*.f64 (sqrt.f64 (/.f64 1 (pow.f64 (hypot.f64 d c) 2))) (fma.f64 b d (*.f64 c a)))
(+.f64 (*.f64 (*.f64 a c) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 c 2) (pow.f64 d 2))))) (*.f64 (*.f64 b d) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 c 2) (pow.f64 d 2))))))
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 c 2) (pow.f64 d 2)))) (fma.f64 b d (*.f64 c a)))
(*.f64 (sqrt.f64 (/.f64 1 (pow.f64 (hypot.f64 d c) 2))) (fma.f64 b d (*.f64 c a)))
(+.f64 (*.f64 (*.f64 a c) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 c 2) (pow.f64 d 2))))) (*.f64 (*.f64 b d) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 c 2) (pow.f64 d 2))))))
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 c 2) (pow.f64 d 2)))) (fma.f64 b d (*.f64 c a)))
(*.f64 (sqrt.f64 (/.f64 1 (pow.f64 (hypot.f64 d c) 2))) (fma.f64 b d (*.f64 c a)))
a
(+.f64 a (/.f64 (*.f64 b d) c))
(+.f64 a (*.f64 b (/.f64 d c)))
(fma.f64 b (/.f64 d c) a)
(+.f64 a (+.f64 (*.f64 -1/2 (/.f64 (*.f64 a (pow.f64 d 2)) (pow.f64 c 2))) (/.f64 (*.f64 b d) c)))
(+.f64 a (fma.f64 -1/2 (*.f64 a (/.f64 (pow.f64 d 2) (pow.f64 c 2))) (*.f64 b (/.f64 d c))))
(+.f64 a (fma.f64 -1/2 (*.f64 (pow.f64 d 2) (/.f64 a (pow.f64 c 2))) (*.f64 b (/.f64 d c))))
(+.f64 a (+.f64 (*.f64 -1/2 (/.f64 (*.f64 a (pow.f64 d 2)) (pow.f64 c 2))) (+.f64 (*.f64 -1/2 (/.f64 (*.f64 b (pow.f64 d 3)) (pow.f64 c 3))) (/.f64 (*.f64 b d) c))))
(+.f64 a (fma.f64 -1/2 (*.f64 a (/.f64 (pow.f64 d 2) (pow.f64 c 2))) (fma.f64 -1/2 (*.f64 b (/.f64 (pow.f64 d 3) (pow.f64 c 3))) (*.f64 b (/.f64 d c)))))
(+.f64 (*.f64 -1/2 (fma.f64 a (/.f64 (pow.f64 d 2) (pow.f64 c 2)) (*.f64 b (/.f64 (pow.f64 d 3) (pow.f64 c 3))))) (fma.f64 b (/.f64 d c) a))
b
(+.f64 b (/.f64 (*.f64 a c) d))
(+.f64 b (*.f64 a (/.f64 c d)))
(fma.f64 a (/.f64 c d) b)
(+.f64 b (+.f64 (*.f64 -1/2 (/.f64 (*.f64 b (pow.f64 c 2)) (pow.f64 d 2))) (/.f64 (*.f64 a c) d)))
(+.f64 b (fma.f64 -1/2 (*.f64 b (/.f64 (pow.f64 c 2) (pow.f64 d 2))) (*.f64 a (/.f64 c d))))
(+.f64 (fma.f64 a (/.f64 c d) b) (*.f64 -1/2 (*.f64 b (/.f64 (pow.f64 c 2) (pow.f64 d 2)))))
(+.f64 b (+.f64 (*.f64 -1/2 (/.f64 (*.f64 a (pow.f64 c 3)) (pow.f64 d 3))) (+.f64 (*.f64 -1/2 (/.f64 (*.f64 b (pow.f64 c 2)) (pow.f64 d 2))) (/.f64 (*.f64 a c) d))))
(+.f64 b (fma.f64 -1/2 (*.f64 a (/.f64 (pow.f64 c 3) (pow.f64 d 3))) (fma.f64 -1/2 (*.f64 b (/.f64 (pow.f64 c 2) (pow.f64 d 2))) (*.f64 a (/.f64 c d)))))
(+.f64 (*.f64 -1/2 (fma.f64 a (/.f64 (pow.f64 c 3) (pow.f64 d 3)) (*.f64 b (/.f64 (pow.f64 c 2) (pow.f64 d 2))))) (fma.f64 a (/.f64 c d) b))
(*.f64 -1 b)
(neg.f64 b)
(+.f64 (*.f64 -1 b) (*.f64 -1 (/.f64 (*.f64 a c) d)))
(*.f64 -1 (+.f64 b (*.f64 a (/.f64 c d))))
(neg.f64 (fma.f64 a (/.f64 c d) b))
(+.f64 (*.f64 -1 b) (+.f64 (*.f64 -1 (/.f64 (*.f64 a c) d)) (*.f64 1/2 (/.f64 (*.f64 b (pow.f64 c 2)) (pow.f64 d 2)))))
(fma.f64 -1 b (fma.f64 -1 (*.f64 a (/.f64 c d)) (/.f64 (*.f64 1/2 (*.f64 b (pow.f64 c 2))) (pow.f64 d 2))))
(fma.f64 -1 (fma.f64 a (/.f64 c d) b) (/.f64 (*.f64 (*.f64 b (pow.f64 c 2)) 1/2) (pow.f64 d 2)))
(+.f64 (*.f64 -1 b) (+.f64 (*.f64 -1 (/.f64 (*.f64 a c) d)) (+.f64 (*.f64 1/2 (/.f64 (*.f64 a (pow.f64 c 3)) (pow.f64 d 3))) (*.f64 1/2 (/.f64 (*.f64 b (pow.f64 c 2)) (pow.f64 d 2))))))
(fma.f64 -1 b (fma.f64 -1 (*.f64 a (/.f64 c d)) (*.f64 1/2 (+.f64 (*.f64 a (/.f64 (pow.f64 c 3) (pow.f64 d 3))) (*.f64 b (/.f64 (pow.f64 c 2) (pow.f64 d 2)))))))
(fma.f64 -1 (fma.f64 a (/.f64 c d) b) (*.f64 1/2 (fma.f64 a (/.f64 (pow.f64 c 3) (pow.f64 d 3)) (*.f64 b (/.f64 (pow.f64 c 2) (pow.f64 d 2))))))
(*.f64 b d)
(+.f64 (*.f64 a c) (*.f64 b d))
(fma.f64 b d (*.f64 c a))
(+.f64 (*.f64 a c) (*.f64 b d))
(fma.f64 b d (*.f64 c a))
(+.f64 (*.f64 a c) (*.f64 b d))
(fma.f64 b d (*.f64 c a))
(*.f64 a c)
(*.f64 c a)
(+.f64 (*.f64 a c) (*.f64 b d))
(fma.f64 b d (*.f64 c a))
(+.f64 (*.f64 a c) (*.f64 b d))
(fma.f64 b d (*.f64 c a))
(+.f64 (*.f64 a c) (*.f64 b d))
(fma.f64 b d (*.f64 c a))
(*.f64 a c)
(*.f64 c a)
(+.f64 (*.f64 a c) (*.f64 b d))
(fma.f64 b d (*.f64 c a))
(+.f64 (*.f64 a c) (*.f64 b d))
(fma.f64 b d (*.f64 c a))
(+.f64 (*.f64 a c) (*.f64 b d))
(fma.f64 b d (*.f64 c a))
(*.f64 b d)
(+.f64 (*.f64 a c) (*.f64 b d))
(fma.f64 b d (*.f64 c a))
(+.f64 (*.f64 a c) (*.f64 b d))
(fma.f64 b d (*.f64 c a))
(+.f64 (*.f64 a c) (*.f64 b d))
(fma.f64 b d (*.f64 c a))
(*.f64 a c)
(*.f64 c a)
(+.f64 (*.f64 a c) (*.f64 b d))
(fma.f64 b d (*.f64 c a))
(+.f64 (*.f64 a c) (*.f64 b d))
(fma.f64 b d (*.f64 c a))
(+.f64 (*.f64 a c) (*.f64 b d))
(fma.f64 b d (*.f64 c a))
(*.f64 a c)
(*.f64 c a)
(+.f64 (*.f64 a c) (*.f64 b d))
(fma.f64 b d (*.f64 c a))
(+.f64 (*.f64 a c) (*.f64 b d))
(fma.f64 b d (*.f64 c a))
(+.f64 (*.f64 a c) (*.f64 b d))
(fma.f64 b d (*.f64 c a))
(*.f64 a c)
(*.f64 c a)
(+.f64 (*.f64 a c) (*.f64 b d))
(fma.f64 b d (*.f64 c a))
(+.f64 (*.f64 a c) (*.f64 b d))
(fma.f64 b d (*.f64 c a))
(+.f64 (*.f64 a c) (*.f64 b d))
(fma.f64 b d (*.f64 c a))
(*.f64 b d)
(+.f64 (*.f64 a c) (*.f64 b d))
(fma.f64 b d (*.f64 c a))
(+.f64 (*.f64 a c) (*.f64 b d))
(fma.f64 b d (*.f64 c a))
(+.f64 (*.f64 a c) (*.f64 b d))
(fma.f64 b d (*.f64 c a))
(*.f64 b d)
(+.f64 (*.f64 a c) (*.f64 b d))
(fma.f64 b d (*.f64 c a))
(+.f64 (*.f64 a c) (*.f64 b d))
(fma.f64 b d (*.f64 c a))
(+.f64 (*.f64 a c) (*.f64 b d))
(fma.f64 b d (*.f64 c a))
(*.f64 a c)
(*.f64 c a)
(+.f64 (*.f64 a c) (*.f64 b d))
(fma.f64 b d (*.f64 c a))
(+.f64 (*.f64 a c) (*.f64 b d))
(fma.f64 b d (*.f64 c a))
(+.f64 (*.f64 a c) (*.f64 b d))
(fma.f64 b d (*.f64 c a))
(*.f64 b d)
(+.f64 (*.f64 a c) (*.f64 b d))
(fma.f64 b d (*.f64 c a))
(+.f64 (*.f64 a c) (*.f64 b d))
(fma.f64 b d (*.f64 c a))
(+.f64 (*.f64 a c) (*.f64 b d))
(fma.f64 b d (*.f64 c a))
(*.f64 b d)
(+.f64 (*.f64 a c) (*.f64 b d))
(fma.f64 b d (*.f64 c a))
(+.f64 (*.f64 a c) (*.f64 b d))
(fma.f64 b d (*.f64 c a))
(+.f64 (*.f64 a c) (*.f64 b d))
(fma.f64 b d (*.f64 c a))
(/.f64 b d)
(+.f64 (/.f64 b d) (/.f64 (*.f64 a c) (pow.f64 d 2)))
(+.f64 (/.f64 b d) (/.f64 (*.f64 c a) (pow.f64 d 2)))
(fma.f64 a (/.f64 c (pow.f64 d 2)) (/.f64 b d))
(+.f64 (*.f64 -1 (/.f64 (*.f64 b (pow.f64 c 2)) (pow.f64 d 3))) (+.f64 (/.f64 b d) (/.f64 (*.f64 a c) (pow.f64 d 2))))
(fma.f64 -1 (*.f64 b (/.f64 (pow.f64 c 2) (pow.f64 d 3))) (+.f64 (/.f64 b d) (/.f64 (*.f64 c a) (pow.f64 d 2))))
(-.f64 (fma.f64 a (/.f64 c (pow.f64 d 2)) (/.f64 b d)) (*.f64 b (/.f64 (pow.f64 c 2) (pow.f64 d 3))))
(+.f64 (*.f64 -1 (/.f64 (*.f64 a (pow.f64 c 3)) (pow.f64 d 4))) (+.f64 (*.f64 -1 (/.f64 (*.f64 b (pow.f64 c 2)) (pow.f64 d 3))) (+.f64 (/.f64 b d) (/.f64 (*.f64 a c) (pow.f64 d 2)))))
(fma.f64 -1 (*.f64 a (/.f64 (pow.f64 c 3) (pow.f64 d 4))) (fma.f64 -1 (*.f64 b (/.f64 (pow.f64 c 2) (pow.f64 d 3))) (+.f64 (/.f64 b d) (/.f64 (*.f64 c a) (pow.f64 d 2)))))
(-.f64 (-.f64 (fma.f64 a (/.f64 c (pow.f64 d 2)) (/.f64 b d)) (*.f64 b (/.f64 (pow.f64 c 2) (pow.f64 d 3)))) (*.f64 a (/.f64 (pow.f64 c 3) (pow.f64 d 4))))
(/.f64 a c)
(+.f64 (/.f64 a c) (/.f64 (*.f64 b d) (pow.f64 c 2)))
(+.f64 (/.f64 a c) (*.f64 b (/.f64 d (pow.f64 c 2))))
(fma.f64 b (/.f64 d (pow.f64 c 2)) (/.f64 a c))
(+.f64 (*.f64 -1 (/.f64 (*.f64 a (pow.f64 d 2)) (pow.f64 c 3))) (+.f64 (/.f64 a c) (/.f64 (*.f64 b d) (pow.f64 c 2))))
(fma.f64 -1 (/.f64 (*.f64 (pow.f64 d 2) a) (pow.f64 c 3)) (+.f64 (/.f64 a c) (*.f64 b (/.f64 d (pow.f64 c 2)))))
(-.f64 (fma.f64 b (/.f64 d (pow.f64 c 2)) (/.f64 a c)) (*.f64 (pow.f64 d 2) (/.f64 a (pow.f64 c 3))))
(+.f64 (*.f64 -1 (/.f64 (*.f64 a (pow.f64 d 2)) (pow.f64 c 3))) (+.f64 (*.f64 -1 (/.f64 (*.f64 b (pow.f64 d 3)) (pow.f64 c 4))) (+.f64 (/.f64 a c) (/.f64 (*.f64 b d) (pow.f64 c 2)))))
(fma.f64 -1 (/.f64 (*.f64 (pow.f64 d 2) a) (pow.f64 c 3)) (fma.f64 -1 (/.f64 (*.f64 b (pow.f64 d 3)) (pow.f64 c 4)) (+.f64 (/.f64 a c) (*.f64 b (/.f64 d (pow.f64 c 2))))))
(-.f64 (-.f64 (fma.f64 b (/.f64 d (pow.f64 c 2)) (/.f64 a c)) (*.f64 b (/.f64 (pow.f64 d 3) (pow.f64 c 4)))) (*.f64 (pow.f64 d 2) (/.f64 a (pow.f64 c 3))))
(/.f64 a c)
(+.f64 (/.f64 a c) (/.f64 (*.f64 b d) (pow.f64 c 2)))
(+.f64 (/.f64 a c) (*.f64 b (/.f64 d (pow.f64 c 2))))
(fma.f64 b (/.f64 d (pow.f64 c 2)) (/.f64 a c))
(+.f64 (*.f64 -1 (/.f64 (*.f64 a (pow.f64 d 2)) (pow.f64 c 3))) (+.f64 (/.f64 a c) (/.f64 (*.f64 b d) (pow.f64 c 2))))
(fma.f64 -1 (/.f64 (*.f64 (pow.f64 d 2) a) (pow.f64 c 3)) (+.f64 (/.f64 a c) (*.f64 b (/.f64 d (pow.f64 c 2)))))
(-.f64 (fma.f64 b (/.f64 d (pow.f64 c 2)) (/.f64 a c)) (*.f64 (pow.f64 d 2) (/.f64 a (pow.f64 c 3))))
(+.f64 (*.f64 -1 (/.f64 (*.f64 a (pow.f64 d 2)) (pow.f64 c 3))) (+.f64 (*.f64 -1 (/.f64 (*.f64 b (pow.f64 d 3)) (pow.f64 c 4))) (+.f64 (/.f64 a c) (/.f64 (*.f64 b d) (pow.f64 c 2)))))
(fma.f64 -1 (/.f64 (*.f64 (pow.f64 d 2) a) (pow.f64 c 3)) (fma.f64 -1 (/.f64 (*.f64 b (pow.f64 d 3)) (pow.f64 c 4)) (+.f64 (/.f64 a c) (*.f64 b (/.f64 d (pow.f64 c 2))))))
(-.f64 (-.f64 (fma.f64 b (/.f64 d (pow.f64 c 2)) (/.f64 a c)) (*.f64 b (/.f64 (pow.f64 d 3) (pow.f64 c 4)))) (*.f64 (pow.f64 d 2) (/.f64 a (pow.f64 c 3))))
(/.f64 a c)
(+.f64 (/.f64 a c) (/.f64 (*.f64 b d) (pow.f64 c 2)))
(+.f64 (/.f64 a c) (*.f64 b (/.f64 d (pow.f64 c 2))))
(fma.f64 b (/.f64 d (pow.f64 c 2)) (/.f64 a c))
(+.f64 (*.f64 -1 (/.f64 (*.f64 a (pow.f64 d 2)) (pow.f64 c 3))) (+.f64 (/.f64 a c) (/.f64 (*.f64 b d) (pow.f64 c 2))))
(fma.f64 -1 (/.f64 (*.f64 (pow.f64 d 2) a) (pow.f64 c 3)) (+.f64 (/.f64 a c) (*.f64 b (/.f64 d (pow.f64 c 2)))))
(-.f64 (fma.f64 b (/.f64 d (pow.f64 c 2)) (/.f64 a c)) (*.f64 (pow.f64 d 2) (/.f64 a (pow.f64 c 3))))
(+.f64 (*.f64 -1 (/.f64 (*.f64 a (pow.f64 d 2)) (pow.f64 c 3))) (+.f64 (*.f64 -1 (/.f64 (*.f64 b (pow.f64 d 3)) (pow.f64 c 4))) (+.f64 (/.f64 a c) (/.f64 (*.f64 b d) (pow.f64 c 2)))))
(fma.f64 -1 (/.f64 (*.f64 (pow.f64 d 2) a) (pow.f64 c 3)) (fma.f64 -1 (/.f64 (*.f64 b (pow.f64 d 3)) (pow.f64 c 4)) (+.f64 (/.f64 a c) (*.f64 b (/.f64 d (pow.f64 c 2))))))
(-.f64 (-.f64 (fma.f64 b (/.f64 d (pow.f64 c 2)) (/.f64 a c)) (*.f64 b (/.f64 (pow.f64 d 3) (pow.f64 c 4)))) (*.f64 (pow.f64 d 2) (/.f64 a (pow.f64 c 3))))
(/.f64 b d)
(+.f64 (/.f64 b d) (/.f64 (*.f64 a c) (pow.f64 d 2)))
(+.f64 (/.f64 b d) (/.f64 (*.f64 c a) (pow.f64 d 2)))
(fma.f64 a (/.f64 c (pow.f64 d 2)) (/.f64 b d))
(+.f64 (*.f64 -1 (/.f64 (*.f64 b (pow.f64 c 2)) (pow.f64 d 3))) (+.f64 (/.f64 b d) (/.f64 (*.f64 a c) (pow.f64 d 2))))
(fma.f64 -1 (*.f64 b (/.f64 (pow.f64 c 2) (pow.f64 d 3))) (+.f64 (/.f64 b d) (/.f64 (*.f64 c a) (pow.f64 d 2))))
(-.f64 (fma.f64 a (/.f64 c (pow.f64 d 2)) (/.f64 b d)) (*.f64 b (/.f64 (pow.f64 c 2) (pow.f64 d 3))))
(+.f64 (*.f64 -1 (/.f64 (*.f64 a (pow.f64 c 3)) (pow.f64 d 4))) (+.f64 (*.f64 -1 (/.f64 (*.f64 b (pow.f64 c 2)) (pow.f64 d 3))) (+.f64 (/.f64 b d) (/.f64 (*.f64 a c) (pow.f64 d 2)))))
(fma.f64 -1 (*.f64 a (/.f64 (pow.f64 c 3) (pow.f64 d 4))) (fma.f64 -1 (*.f64 b (/.f64 (pow.f64 c 2) (pow.f64 d 3))) (+.f64 (/.f64 b d) (/.f64 (*.f64 c a) (pow.f64 d 2)))))
(-.f64 (-.f64 (fma.f64 a (/.f64 c (pow.f64 d 2)) (/.f64 b d)) (*.f64 b (/.f64 (pow.f64 c 2) (pow.f64 d 3)))) (*.f64 a (/.f64 (pow.f64 c 3) (pow.f64 d 4))))
(/.f64 b d)
(+.f64 (/.f64 b d) (/.f64 (*.f64 a c) (pow.f64 d 2)))
(+.f64 (/.f64 b d) (/.f64 (*.f64 c a) (pow.f64 d 2)))
(fma.f64 a (/.f64 c (pow.f64 d 2)) (/.f64 b d))
(+.f64 (*.f64 -1 (/.f64 (*.f64 b (pow.f64 c 2)) (pow.f64 d 3))) (+.f64 (/.f64 b d) (/.f64 (*.f64 a c) (pow.f64 d 2))))
(fma.f64 -1 (*.f64 b (/.f64 (pow.f64 c 2) (pow.f64 d 3))) (+.f64 (/.f64 b d) (/.f64 (*.f64 c a) (pow.f64 d 2))))
(-.f64 (fma.f64 a (/.f64 c (pow.f64 d 2)) (/.f64 b d)) (*.f64 b (/.f64 (pow.f64 c 2) (pow.f64 d 3))))
(+.f64 (*.f64 -1 (/.f64 (*.f64 a (pow.f64 c 3)) (pow.f64 d 4))) (+.f64 (*.f64 -1 (/.f64 (*.f64 b (pow.f64 c 2)) (pow.f64 d 3))) (+.f64 (/.f64 b d) (/.f64 (*.f64 a c) (pow.f64 d 2)))))
(fma.f64 -1 (*.f64 a (/.f64 (pow.f64 c 3) (pow.f64 d 4))) (fma.f64 -1 (*.f64 b (/.f64 (pow.f64 c 2) (pow.f64 d 3))) (+.f64 (/.f64 b d) (/.f64 (*.f64 c a) (pow.f64 d 2)))))
(-.f64 (-.f64 (fma.f64 a (/.f64 c (pow.f64 d 2)) (/.f64 b d)) (*.f64 b (/.f64 (pow.f64 c 2) (pow.f64 d 3)))) (*.f64 a (/.f64 (pow.f64 c 3) (pow.f64 d 4))))
(/.f64 (*.f64 b d) (+.f64 (pow.f64 c 2) (pow.f64 d 2)))
(*.f64 b (/.f64 d (+.f64 (pow.f64 c 2) (pow.f64 d 2))))
(*.f64 b (/.f64 d (pow.f64 (hypot.f64 d c) 2)))
(+.f64 (/.f64 (*.f64 a c) (+.f64 (pow.f64 c 2) (pow.f64 d 2))) (/.f64 (*.f64 b d) (+.f64 (pow.f64 c 2) (pow.f64 d 2))))
(+.f64 (*.f64 b (/.f64 d (+.f64 (pow.f64 c 2) (pow.f64 d 2)))) (/.f64 (*.f64 c a) (+.f64 (pow.f64 c 2) (pow.f64 d 2))))
(fma.f64 b (/.f64 d (pow.f64 (hypot.f64 d c) 2)) (/.f64 (*.f64 c a) (pow.f64 (hypot.f64 d c) 2)))
(+.f64 (/.f64 (*.f64 a c) (+.f64 (pow.f64 c 2) (pow.f64 d 2))) (/.f64 (*.f64 b d) (+.f64 (pow.f64 c 2) (pow.f64 d 2))))
(+.f64 (*.f64 b (/.f64 d (+.f64 (pow.f64 c 2) (pow.f64 d 2)))) (/.f64 (*.f64 c a) (+.f64 (pow.f64 c 2) (pow.f64 d 2))))
(fma.f64 b (/.f64 d (pow.f64 (hypot.f64 d c) 2)) (/.f64 (*.f64 c a) (pow.f64 (hypot.f64 d c) 2)))
(+.f64 (/.f64 (*.f64 a c) (+.f64 (pow.f64 c 2) (pow.f64 d 2))) (/.f64 (*.f64 b d) (+.f64 (pow.f64 c 2) (pow.f64 d 2))))
(+.f64 (*.f64 b (/.f64 d (+.f64 (pow.f64 c 2) (pow.f64 d 2)))) (/.f64 (*.f64 c a) (+.f64 (pow.f64 c 2) (pow.f64 d 2))))
(fma.f64 b (/.f64 d (pow.f64 (hypot.f64 d c) 2)) (/.f64 (*.f64 c a) (pow.f64 (hypot.f64 d c) 2)))
(/.f64 (*.f64 a c) (+.f64 (pow.f64 c 2) (pow.f64 d 2)))
(/.f64 (*.f64 c a) (+.f64 (pow.f64 c 2) (pow.f64 d 2)))
(/.f64 (*.f64 c a) (pow.f64 (hypot.f64 d c) 2))
(+.f64 (/.f64 (*.f64 a c) (+.f64 (pow.f64 c 2) (pow.f64 d 2))) (/.f64 (*.f64 b d) (+.f64 (pow.f64 c 2) (pow.f64 d 2))))
(+.f64 (*.f64 b (/.f64 d (+.f64 (pow.f64 c 2) (pow.f64 d 2)))) (/.f64 (*.f64 c a) (+.f64 (pow.f64 c 2) (pow.f64 d 2))))
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(/.f64 (fma.f64 b d (*.f64 c a)) (pow.f64 (hypot.f64 c d) 2))
(*.f64 (fma.f64 b d (*.f64 c a)) (pow.f64 (hypot.f64 d c) -2))
(*.f64 (/.f64 (fma.f64 b d (*.f64 a c)) (sqrt.f64 (hypot.f64 c d))) (/.f64 (/.f64 1 (hypot.f64 c d)) (sqrt.f64 (hypot.f64 c d))))
(/.f64 (fma.f64 b d (*.f64 c a)) (pow.f64 (hypot.f64 c d) 2))
(*.f64 (fma.f64 b d (*.f64 c a)) (pow.f64 (hypot.f64 d c) -2))
(*.f64 (/.f64 (/.f64 1 (hypot.f64 c d)) (sqrt.f64 (hypot.f64 c d))) (/.f64 (fma.f64 b d (*.f64 a c)) (sqrt.f64 (hypot.f64 c d))))
(/.f64 (fma.f64 b d (*.f64 c a)) (pow.f64 (hypot.f64 c d) 2))
(*.f64 (fma.f64 b d (*.f64 c a)) (pow.f64 (hypot.f64 d c) -2))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (hypot.f64 c d)) 2)) (/.f64 (/.f64 (fma.f64 b d (*.f64 a c)) (hypot.f64 c d)) (cbrt.f64 (hypot.f64 c d))))
(/.f64 (fma.f64 b d (*.f64 c a)) (pow.f64 (hypot.f64 c d) 2))
(*.f64 (fma.f64 b d (*.f64 c a)) (pow.f64 (hypot.f64 d c) -2))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 (fma.f64 b d (*.f64 a c)) (hypot.f64 c d))) 2) 1) (/.f64 (cbrt.f64 (/.f64 (fma.f64 b d (*.f64 a c)) (hypot.f64 c d))) (hypot.f64 c d)))
(/.f64 (fma.f64 b d (*.f64 c a)) (pow.f64 (hypot.f64 c d) 2))
(*.f64 (fma.f64 b d (*.f64 c a)) (pow.f64 (hypot.f64 d c) -2))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 (fma.f64 b d (*.f64 a c)) (hypot.f64 c d))) 2) (pow.f64 (cbrt.f64 (hypot.f64 c d)) 2)) (cbrt.f64 (*.f64 (fma.f64 b d (*.f64 a c)) (pow.f64 (hypot.f64 c d) -2))))
(*.f64 (cbrt.f64 (*.f64 (fma.f64 b d (*.f64 c a)) (pow.f64 (hypot.f64 c d) -2))) (/.f64 (pow.f64 (cbrt.f64 (/.f64 (fma.f64 b d (*.f64 c a)) (hypot.f64 c d))) 2) (pow.f64 (cbrt.f64 (hypot.f64 c d)) 2)))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (fma.f64 b d (*.f64 c a)) (hypot.f64 d c))) 2) (/.f64 (cbrt.f64 (*.f64 (fma.f64 b d (*.f64 c a)) (pow.f64 (hypot.f64 d c) -2))) (pow.f64 (cbrt.f64 (hypot.f64 d c)) 2)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 (fma.f64 b d (*.f64 a c)) (hypot.f64 c d))) 2) (sqrt.f64 (hypot.f64 c d))) (/.f64 (cbrt.f64 (/.f64 (fma.f64 b d (*.f64 a c)) (hypot.f64 c d))) (sqrt.f64 (hypot.f64 c d))))
(/.f64 (fma.f64 b d (*.f64 c a)) (pow.f64 (hypot.f64 c d) 2))
(*.f64 (fma.f64 b d (*.f64 c a)) (pow.f64 (hypot.f64 d c) -2))
(*.f64 (/.f64 (sqrt.f64 (/.f64 (fma.f64 b d (*.f64 a c)) (hypot.f64 c d))) 1) (/.f64 (sqrt.f64 (/.f64 (fma.f64 b d (*.f64 a c)) (hypot.f64 c d))) (hypot.f64 c d)))
(/.f64 (fma.f64 b d (*.f64 c a)) (pow.f64 (hypot.f64 c d) 2))
(*.f64 (fma.f64 b d (*.f64 c a)) (pow.f64 (hypot.f64 d c) -2))
(*.f64 (/.f64 (sqrt.f64 (/.f64 (fma.f64 b d (*.f64 a c)) (hypot.f64 c d))) (pow.f64 (cbrt.f64 (hypot.f64 c d)) 2)) (/.f64 (sqrt.f64 (/.f64 (fma.f64 b d (*.f64 a c)) (hypot.f64 c d))) (cbrt.f64 (hypot.f64 c d))))
(/.f64 (fma.f64 b d (*.f64 c a)) (pow.f64 (hypot.f64 c d) 2))
(*.f64 (fma.f64 b d (*.f64 c a)) (pow.f64 (hypot.f64 d c) -2))
(*.f64 (/.f64 (/.f64 1 (hypot.f64 c d)) 1) (/.f64 (fma.f64 b d (*.f64 a c)) (hypot.f64 c d)))
(/.f64 (fma.f64 b d (*.f64 c a)) (pow.f64 (hypot.f64 c d) 2))
(*.f64 (fma.f64 b d (*.f64 c a)) (pow.f64 (hypot.f64 d c) -2))
(*.f64 (/.f64 (/.f64 1 (hypot.f64 c d)) (pow.f64 (cbrt.f64 (hypot.f64 c d)) 2)) (/.f64 (fma.f64 b d (*.f64 a c)) (cbrt.f64 (hypot.f64 c d))))
(/.f64 (fma.f64 b d (*.f64 c a)) (pow.f64 (hypot.f64 c d) 2))
(*.f64 (fma.f64 b d (*.f64 c a)) (pow.f64 (hypot.f64 d c) -2))
(*.f64 (*.f64 (/.f64 (fma.f64 b d (*.f64 a c)) (hypot.f64 c d)) (cbrt.f64 (pow.f64 (hypot.f64 c d) -2))) (/.f64 1 (cbrt.f64 (hypot.f64 c d))))
(*.f64 (cbrt.f64 (pow.f64 (hypot.f64 c d) -2)) (/.f64 (fma.f64 b d (*.f64 c a)) (*.f64 (cbrt.f64 (hypot.f64 c d)) (hypot.f64 c d))))
(*.f64 (cbrt.f64 (pow.f64 (hypot.f64 d c) -2)) (/.f64 (fma.f64 b d (*.f64 c a)) (*.f64 (hypot.f64 d c) (cbrt.f64 (hypot.f64 d c)))))
(*.f64 (*.f64 (/.f64 (fma.f64 b d (*.f64 a c)) (hypot.f64 c d)) (pow.f64 (hypot.f64 c d) -1/2)) (pow.f64 (hypot.f64 c d) -1/2))
(/.f64 (fma.f64 b d (*.f64 c a)) (pow.f64 (hypot.f64 c d) 2))
(*.f64 (fma.f64 b d (*.f64 c a)) (pow.f64 (hypot.f64 d c) -2))
(*.f64 (*.f64 (/.f64 1 (hypot.f64 c d)) (pow.f64 (cbrt.f64 (/.f64 (fma.f64 b d (*.f64 a c)) (hypot.f64 c d))) 2)) (cbrt.f64 (/.f64 (fma.f64 b d (*.f64 a c)) (hypot.f64 c d))))
(/.f64 (fma.f64 b d (*.f64 c a)) (pow.f64 (hypot.f64 c d) 2))
(*.f64 (fma.f64 b d (*.f64 c a)) (pow.f64 (hypot.f64 d c) -2))
(*.f64 (*.f64 (/.f64 1 (hypot.f64 c d)) (sqrt.f64 (/.f64 (fma.f64 b d (*.f64 a c)) (hypot.f64 c d)))) (sqrt.f64 (/.f64 (fma.f64 b d (*.f64 a c)) (hypot.f64 c d))))
(/.f64 (fma.f64 b d (*.f64 c a)) (pow.f64 (hypot.f64 c d) 2))
(*.f64 (fma.f64 b d (*.f64 c a)) (pow.f64 (hypot.f64 d c) -2))
(*.f64 (/.f64 (fma.f64 b d (*.f64 a c)) (+.f64 (pow.f64 c 6) (pow.f64 d 6))) (-.f64 (+.f64 (pow.f64 c 4) (pow.f64 d 4)) (pow.f64 (*.f64 c d) 2)))
(*.f64 (-.f64 (+.f64 (pow.f64 d 4) (pow.f64 c 4)) (pow.f64 (*.f64 d c) 2)) (/.f64 (fma.f64 b d (*.f64 c a)) (+.f64 (pow.f64 c 6) (pow.f64 d 6))))
(*.f64 (fma.f64 b d (*.f64 c a)) (/.f64 (+.f64 (pow.f64 c 4) (-.f64 (pow.f64 d 4) (pow.f64 (*.f64 d c) 2))) (+.f64 (pow.f64 c 6) (pow.f64 d 6))))
(*.f64 (/.f64 (fma.f64 b d (*.f64 a c)) (-.f64 (pow.f64 c 4) (pow.f64 d 4))) (-.f64 (pow.f64 c 2) (pow.f64 d 2)))
(*.f64 (-.f64 (pow.f64 c 2) (pow.f64 d 2)) (/.f64 (fma.f64 b d (*.f64 c a)) (-.f64 (pow.f64 c 4) (pow.f64 d 4))))
(*.f64 (fma.f64 b d (*.f64 c a)) (/.f64 (-.f64 (pow.f64 c 2) (pow.f64 d 2)) (-.f64 (pow.f64 c 4) (pow.f64 d 4))))
(pow.f64 (*.f64 (fma.f64 b d (*.f64 a c)) (pow.f64 (hypot.f64 c d) -2)) 1)
(/.f64 (fma.f64 b d (*.f64 c a)) (pow.f64 (hypot.f64 c d) 2))
(*.f64 (fma.f64 b d (*.f64 c a)) (pow.f64 (hypot.f64 d c) -2))
(pow.f64 (cbrt.f64 (*.f64 (fma.f64 b d (*.f64 a c)) (pow.f64 (hypot.f64 c d) -2))) 3)
(/.f64 (fma.f64 b d (*.f64 c a)) (pow.f64 (hypot.f64 c d) 2))
(*.f64 (fma.f64 b d (*.f64 c a)) (pow.f64 (hypot.f64 d c) -2))
(pow.f64 (pow.f64 (*.f64 (fma.f64 b d (*.f64 a c)) (pow.f64 (hypot.f64 c d) -2)) 3) 1/3)
(/.f64 (fma.f64 b d (*.f64 c a)) (pow.f64 (hypot.f64 c d) 2))
(*.f64 (fma.f64 b d (*.f64 c a)) (pow.f64 (hypot.f64 d c) -2))
(pow.f64 (/.f64 (sqrt.f64 (fma.f64 b d (*.f64 a c))) (hypot.f64 c d)) 2)
(/.f64 (fma.f64 b d (*.f64 c a)) (pow.f64 (hypot.f64 c d) 2))
(*.f64 (fma.f64 b d (*.f64 c a)) (pow.f64 (hypot.f64 d c) -2))
(pow.f64 (/.f64 (pow.f64 (hypot.f64 c d) 2) (fma.f64 b d (*.f64 a c))) -1)
(/.f64 (fma.f64 b d (*.f64 c a)) (pow.f64 (hypot.f64 c d) 2))
(*.f64 (fma.f64 b d (*.f64 c a)) (pow.f64 (hypot.f64 d c) -2))
(neg.f64 (/.f64 (fma.f64 b d (*.f64 a c)) (neg.f64 (pow.f64 (hypot.f64 c d) 2))))
(/.f64 (fma.f64 b d (*.f64 c a)) (pow.f64 (hypot.f64 c d) 2))
(*.f64 (fma.f64 b d (*.f64 c a)) (pow.f64 (hypot.f64 d c) -2))
(neg.f64 (/.f64 (neg.f64 (fma.f64 b d (*.f64 a c))) (pow.f64 (hypot.f64 c d) 2)))
(/.f64 (fma.f64 b d (*.f64 c a)) (pow.f64 (hypot.f64 c d) 2))
(*.f64 (fma.f64 b d (*.f64 c a)) (pow.f64 (hypot.f64 d c) -2))
(sqrt.f64 (pow.f64 (*.f64 (fma.f64 b d (*.f64 a c)) (pow.f64 (hypot.f64 c d) -2)) 2))
(sqrt.f64 (pow.f64 (*.f64 (fma.f64 b d (*.f64 c a)) (pow.f64 (hypot.f64 c d) -2)) 2))
(fabs.f64 (*.f64 (fma.f64 b d (*.f64 c a)) (pow.f64 (hypot.f64 d c) -2)))
(log.f64 (pow.f64 (exp.f64 (fma.f64 b d (*.f64 a c))) (pow.f64 (hypot.f64 c d) -2)))
(/.f64 (fma.f64 b d (*.f64 c a)) (pow.f64 (hypot.f64 c d) 2))
(*.f64 (fma.f64 b d (*.f64 c a)) (pow.f64 (hypot.f64 d c) -2))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (fma.f64 b d (*.f64 a c)) (pow.f64 (hypot.f64 c d) -2)))))
(/.f64 (fma.f64 b d (*.f64 c a)) (pow.f64 (hypot.f64 c d) 2))
(*.f64 (fma.f64 b d (*.f64 c a)) (pow.f64 (hypot.f64 d c) -2))
(cbrt.f64 (pow.f64 (*.f64 (fma.f64 b d (*.f64 a c)) (pow.f64 (hypot.f64 c d) -2)) 3))
(/.f64 (fma.f64 b d (*.f64 c a)) (pow.f64 (hypot.f64 c d) 2))
(*.f64 (fma.f64 b d (*.f64 c a)) (pow.f64 (hypot.f64 d c) -2))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 (fma.f64 b d (*.f64 a c)) (hypot.f64 c d)) 3) (pow.f64 (/.f64 1 (hypot.f64 c d)) 3)))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 (fma.f64 b d (*.f64 c a)) (hypot.f64 c d)) 3) (/.f64 1 (pow.f64 (hypot.f64 c d) 3))))
(cbrt.f64 (/.f64 (pow.f64 (fma.f64 b d (*.f64 c a)) 3) (pow.f64 (pow.f64 (hypot.f64 d c) 2) 3)))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 1 (hypot.f64 c d)) 3) (pow.f64 (/.f64 (fma.f64 b d (*.f64 a c)) (hypot.f64 c d)) 3)))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 (fma.f64 b d (*.f64 c a)) (hypot.f64 c d)) 3) (/.f64 1 (pow.f64 (hypot.f64 c d) 3))))
(cbrt.f64 (/.f64 (pow.f64 (fma.f64 b d (*.f64 c a)) 3) (pow.f64 (pow.f64 (hypot.f64 d c) 2) 3)))
(cbrt.f64 (/.f64 (pow.f64 (fma.f64 b d (*.f64 a c)) 3) (pow.f64 (pow.f64 (hypot.f64 c d) 2) 3)))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 (fma.f64 b d (*.f64 c a)) (hypot.f64 c d)) 3) (/.f64 1 (pow.f64 (hypot.f64 c d) 3))))
(cbrt.f64 (/.f64 (pow.f64 (fma.f64 b d (*.f64 c a)) 3) (pow.f64 (pow.f64 (hypot.f64 d c) 2) 3)))
(cbrt.f64 (/.f64 (pow.f64 (/.f64 (fma.f64 b d (*.f64 a c)) (hypot.f64 c d)) 3) (pow.f64 (hypot.f64 c d) 3)))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 (fma.f64 b d (*.f64 c a)) (hypot.f64 c d)) 3) (/.f64 1 (pow.f64 (hypot.f64 c d) 3))))
(cbrt.f64 (/.f64 (pow.f64 (fma.f64 b d (*.f64 c a)) 3) (pow.f64 (pow.f64 (hypot.f64 d c) 2) 3)))
(expm1.f64 (log1p.f64 (*.f64 (fma.f64 b d (*.f64 a c)) (pow.f64 (hypot.f64 c d) -2))))
(expm1.f64 (log1p.f64 (*.f64 (fma.f64 b d (*.f64 c a)) (pow.f64 (hypot.f64 c d) -2))))
(expm1.f64 (log1p.f64 (*.f64 (fma.f64 b d (*.f64 c a)) (pow.f64 (hypot.f64 d c) -2))))
(log1p.f64 (expm1.f64 (*.f64 (fma.f64 b d (*.f64 a c)) (pow.f64 (hypot.f64 c d) -2))))
(/.f64 (fma.f64 b d (*.f64 c a)) (pow.f64 (hypot.f64 c d) 2))
(*.f64 (fma.f64 b d (*.f64 c a)) (pow.f64 (hypot.f64 d c) -2))
(exp.f64 (log.f64 (*.f64 (fma.f64 b d (*.f64 a c)) (pow.f64 (hypot.f64 c d) -2))))
(/.f64 (fma.f64 b d (*.f64 c a)) (pow.f64 (hypot.f64 c d) 2))
(*.f64 (fma.f64 b d (*.f64 c a)) (pow.f64 (hypot.f64 d c) -2))
(exp.f64 (*.f64 (log.f64 (*.f64 (fma.f64 b d (*.f64 a c)) (pow.f64 (hypot.f64 c d) -2))) 1))
(/.f64 (fma.f64 b d (*.f64 c a)) (pow.f64 (hypot.f64 c d) 2))
(*.f64 (fma.f64 b d (*.f64 c a)) (pow.f64 (hypot.f64 d c) -2))

eval185.0ms (1.9%)

Compiler

Compiled 10036 to 4287 computations (57.3% saved)

prune124.0ms (1.3%)

Pruning

21 alts after pruning (18 fresh and 3 done)

PrunedKeptTotal
New49015505
Fresh235
Picked325
Done011
Total49521516
Accuracy
100.0%
Counts
516 → 21
Alt Table
Click to see full alt table
StatusAccuracyProgram
76.4%
(/.f64 (/.f64 (fma.f64 b d (*.f64 a c)) (hypot.f64 c d)) (hypot.f64 c d))
59.6%
(/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) (+.f64 (*.f64 c c) (*.f64 d d)))
38.9%
(/.f64 (*.f64 c a) (+.f64 (*.f64 c c) (*.f64 d d)))
36.5%
(/.f64 (*.f64 b d) (+.f64 (*.f64 c c) (*.f64 d d)))
39.8%
(/.f64 b d)
45.0%
(/.f64 a c)
76.0%
(/.f64 1 (*.f64 (/.f64 (hypot.f64 c d) (fma.f64 b d (*.f64 a c))) (hypot.f64 c d)))
45.6%
(+.f64 (/.f64 b d) (*.f64 a (/.f64 c (pow.f64 d 2))))
53.9%
(+.f64 (/.f64 a c) (/.f64 (/.f64 (*.f64 b d) c) c))
53.9%
(+.f64 (/.f64 a c) (*.f64 b (*.f64 (/.f64 1 c) (/.f64 d c))))
29.8%
(*.f64 (/.f64 1 (hypot.f64 c d)) (+.f64 (*.f64 -1 b) (*.f64 -1 (/.f64 (*.f64 a c) d))))
32.6%
(*.f64 (/.f64 1 (hypot.f64 c d)) (+.f64 (*.f64 -1 a) (*.f64 -1 (/.f64 (*.f64 b d) c))))
31.9%
(*.f64 (/.f64 1 (hypot.f64 c d)) (+.f64 b (*.f64 a (/.f64 c d))))
30.4%
(*.f64 (/.f64 1 (hypot.f64 c d)) (+.f64 a (*.f64 b (/.f64 d c))))
30.6%
(*.f64 (/.f64 1 (hypot.f64 c d)) (*.f64 -1 (+.f64 b (*.f64 a (/.f64 c d)))))
34.1%
(*.f64 (/.f64 1 (hypot.f64 c d)) (*.f64 -1 (+.f64 a (*.f64 b (/.f64 d c)))))
27.4%
(*.f64 (/.f64 1 (hypot.f64 c d)) (neg.f64 b))
30.9%
(*.f64 (/.f64 1 (hypot.f64 c d)) (neg.f64 a))
26.9%
(*.f64 (/.f64 1 (hypot.f64 c d)) b)
27.0%
(*.f64 (/.f64 1 (hypot.f64 c d)) a)
17.3%
(*.f64 b (/.f64 d (pow.f64 c 2)))
Compiler

Compiled 597 to 393 computations (34.2% saved)

localize137.0ms (1.4%)

Localize:

Found 8 expressions with local error:

NewAccuracyProgram
100.0%
(+.f64 a (*.f64 b (/.f64 d c)))
93.4%
(*.f64 (/.f64 1 (hypot.f64 c d)) (*.f64 -1 (+.f64 a (*.f64 b (/.f64 d c)))))
90.1%
(*.f64 b (/.f64 d c))
99.7%
(*.f64 (/.f64 1 (hypot.f64 c d)) (neg.f64 b))
89.9%
(/.f64 d (pow.f64 c 2))
86.9%
(*.f64 b (/.f64 d (pow.f64 c 2)))
99.9%
(/.f64 (/.f64 (fma.f64 b d (*.f64 a c)) (hypot.f64 c d)) (hypot.f64 c d))
77.1%
(/.f64 (fma.f64 b d (*.f64 a c)) (hypot.f64 c d))
Compiler

Compiled 144 to 42 computations (70.8% saved)

series63.0ms (0.7%)

Counts
6 → 264
Calls

66 calls:

TimeVariablePointExpression
2.0ms
d
@-inf
(*.f64 (/.f64 1 (hypot.f64 c d)) (neg.f64 b))
2.0ms
b
@inf
(+.f64 a (*.f64 b (/.f64 d c)))
2.0ms
b
@0
(/.f64 (fma.f64 b d (*.f64 a c)) (hypot.f64 c d))
2.0ms
c
@0
(*.f64 (/.f64 1 (hypot.f64 c d)) (neg.f64 b))
2.0ms
d
@0
(*.f64 (/.f64 1 (hypot.f64 c d)) (neg.f64 b))

rewrite185.0ms (1.9%)

Algorithm
batch-egg-rewrite
Rules
1179×log1p-expm1-u
372×associate-*r*
316×expm1-log1p-u
246×associate-*l*
177×add-exp-log
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
028240
1400212
25958212
Stop Event
node limit
Counts
6 → 225
Calls
Call 1
Inputs
(/.f64 (fma.f64 b d (*.f64 a c)) (hypot.f64 c d))
(/.f64 (/.f64 (fma.f64 b d (*.f64 a c)) (hypot.f64 c d)) (hypot.f64 c d))
(*.f64 (/.f64 1 (hypot.f64 c d)) (neg.f64 b))
(*.f64 b (/.f64 d c))
(*.f64 (/.f64 1 (hypot.f64 c d)) (*.f64 -1 (+.f64 a (*.f64 b (/.f64 d c)))))
(+.f64 a (*.f64 b (/.f64 d c)))
Outputs
(-.f64 (exp.f64 (log1p.f64 (/.f64 (fma.f64 b d (*.f64 a c)) (hypot.f64 c d)))) 1)
(*.f64 (fma.f64 b d (*.f64 a c)) (/.f64 1 (hypot.f64 c d)))
(*.f64 (/.f64 (fma.f64 b d (*.f64 a c)) (hypot.f64 c d)) 1)
(*.f64 1 (/.f64 (fma.f64 b d (*.f64 a c)) (hypot.f64 c d)))
(*.f64 (/.f64 1 (hypot.f64 c d)) (fma.f64 b d (*.f64 a c)))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 b d (*.f64 a c))) 2) (/.f64 (cbrt.f64 (fma.f64 b d (*.f64 a c))) (hypot.f64 c d)))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 b d (*.f64 a c))) 2) (*.f64 (cbrt.f64 (fma.f64 b d (*.f64 a c))) (/.f64 1 (hypot.f64 c d))))
(*.f64 (cbrt.f64 (/.f64 (fma.f64 b d (*.f64 a c)) (hypot.f64 c d))) (pow.f64 (cbrt.f64 (/.f64 (fma.f64 b d (*.f64 a c)) (hypot.f64 c d))) 2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (fma.f64 b d (*.f64 a c)) (hypot.f64 c d))) 2) (cbrt.f64 (/.f64 (fma.f64 b d (*.f64 a c)) (hypot.f64 c d))))
(*.f64 (sqrt.f64 (fma.f64 b d (*.f64 a c))) (/.f64 (sqrt.f64 (fma.f64 b d (*.f64 a c))) (hypot.f64 c d)))
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(*.f64 (cbrt.f64 (fma.f64 b (/.f64 d c) a)) (pow.f64 (cbrt.f64 (fma.f64 b (/.f64 d c) a)) 2))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 b (/.f64 d c) a)) 2) (cbrt.f64 (fma.f64 b (/.f64 d c) a)))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 b (/.f64 d c) a)) 2) (neg.f64 (cbrt.f64 (fma.f64 b (/.f64 d c) a))))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 b (/.f64 d c) a)) 2) (*.f64 (cbrt.f64 (fma.f64 b (/.f64 d c) a)) -1))
(*.f64 (pow.f64 (fma.f64 b (/.f64 d c) a) 2) (/.f64 1 (fma.f64 b (/.f64 d c) a)))
(*.f64 (sqrt.f64 (fma.f64 b (/.f64 d c) a)) (sqrt.f64 (fma.f64 b (/.f64 d c) a)))
(*.f64 (sqrt.f64 (fma.f64 b (/.f64 d c) a)) (neg.f64 (sqrt.f64 (fma.f64 b (/.f64 d c) a))))
(*.f64 (sqrt.f64 (fma.f64 b (/.f64 d c) a)) (*.f64 (sqrt.f64 (fma.f64 b (/.f64 d c) a)) -1))
(*.f64 (+.f64 (pow.f64 (*.f64 b (/.f64 d c)) 3) (pow.f64 a 3)) (/.f64 1 (-.f64 (pow.f64 (fma.f64 b (/.f64 d c) a) 2) (/.f64 (*.f64 a (*.f64 b d)) c))))
(*.f64 (+.f64 (sqrt.f64 a) (sqrt.f64 (*.f64 b (/.f64 d c)))) (-.f64 (sqrt.f64 a) (sqrt.f64 (*.f64 b (/.f64 d c)))))
(*.f64 (neg.f64 (pow.f64 (cbrt.f64 (fma.f64 b (/.f64 d c) a)) 2)) (cbrt.f64 (fma.f64 b (/.f64 d c) a)))
(*.f64 (neg.f64 (sqrt.f64 (fma.f64 b (/.f64 d c) a))) (sqrt.f64 (fma.f64 b (/.f64 d c) a)))
(*.f64 (*.f64 -1 (pow.f64 (cbrt.f64 (fma.f64 b (/.f64 d c) a)) 2)) (cbrt.f64 (fma.f64 b (/.f64 d c) a)))
(*.f64 (*.f64 -1 (sqrt.f64 (fma.f64 b (/.f64 d c) a))) (sqrt.f64 (fma.f64 b (/.f64 d c) a)))
(/.f64 1 (/.f64 (-.f64 (pow.f64 (fma.f64 b (/.f64 d c) a) 2) (/.f64 (*.f64 a (*.f64 b d)) c)) (+.f64 (pow.f64 (*.f64 b (/.f64 d c)) 3) (pow.f64 a 3))))
(/.f64 1 (/.f64 (fma.f64 b (/.f64 d c) a) (pow.f64 (fma.f64 b (/.f64 d c) a) 2)))
(/.f64 (pow.f64 (fma.f64 b (/.f64 d c) a) 2) (fma.f64 b (/.f64 d c) a))
(/.f64 (+.f64 (pow.f64 (*.f64 b (/.f64 d c)) 3) (pow.f64 a 3)) (-.f64 (pow.f64 (fma.f64 b (/.f64 d c) a) 2) (/.f64 (*.f64 a (*.f64 b d)) c)))
(/.f64 (+.f64 (pow.f64 (*.f64 b (/.f64 d c)) 3) (pow.f64 a 3)) (neg.f64 (-.f64 (pow.f64 (fma.f64 b (/.f64 d c) a) 2) (/.f64 (*.f64 a (*.f64 b d)) c))))
(/.f64 (+.f64 (pow.f64 (*.f64 b (/.f64 d c)) 3) (pow.f64 a 3)) (+.f64 (pow.f64 (*.f64 b (/.f64 d c)) 2) (-.f64 (pow.f64 a 2) (/.f64 (*.f64 a (*.f64 b d)) c))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 b (/.f64 d c)) 3) (pow.f64 a 3))) (-.f64 (pow.f64 (fma.f64 b (/.f64 d c) a) 2) (/.f64 (*.f64 a (*.f64 b d)) c)))
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 b (/.f64 d c)) 3) (pow.f64 a 3))) (neg.f64 (-.f64 (pow.f64 (fma.f64 b (/.f64 d c) a) 2) (/.f64 (*.f64 a (*.f64 b d)) c))))
(/.f64 (+.f64 (pow.f64 (neg.f64 a) 3) (pow.f64 (*.f64 b (/.f64 d c)) 3)) (+.f64 (*.f64 (neg.f64 a) (neg.f64 a)) (-.f64 (pow.f64 (*.f64 b (/.f64 d c)) 2) (*.f64 (neg.f64 a) (*.f64 b (/.f64 d c))))))
(/.f64 (-.f64 (pow.f64 a 3) (pow.f64 (*.f64 b (/.f64 d c)) 3)) (+.f64 (pow.f64 a 2) (+.f64 (pow.f64 (*.f64 b (/.f64 d c)) 2) (/.f64 (*.f64 a (*.f64 b d)) c))))
(/.f64 (-.f64 (*.f64 (neg.f64 a) (neg.f64 a)) (pow.f64 (*.f64 b (/.f64 d c)) 2)) (-.f64 (neg.f64 a) (*.f64 b (/.f64 d c))))
(/.f64 (-.f64 (pow.f64 (*.f64 b (/.f64 d c)) 2) (pow.f64 a 2)) (-.f64 (*.f64 b (/.f64 d c)) a))
(/.f64 (*.f64 -1 (+.f64 (pow.f64 (*.f64 b (/.f64 d c)) 3) (pow.f64 a 3))) (-.f64 (pow.f64 (fma.f64 b (/.f64 d c) a) 2) (/.f64 (*.f64 a (*.f64 b d)) c)))
(/.f64 (*.f64 (+.f64 (pow.f64 (*.f64 b (/.f64 d c)) 3) (pow.f64 a 3)) -1) (-.f64 (pow.f64 (fma.f64 b (/.f64 d c) a) 2) (/.f64 (*.f64 a (*.f64 b d)) c)))
(pow.f64 (fma.f64 b (/.f64 d c) a) 1)
(pow.f64 (cbrt.f64 (fma.f64 b (/.f64 d c) a)) 3)
(pow.f64 (pow.f64 (fma.f64 b (/.f64 d c) a) 3) 1/3)
(pow.f64 (sqrt.f64 (fma.f64 b (/.f64 d c) a)) 2)
(neg.f64 (fma.f64 b (/.f64 d c) a))
(sqrt.f64 (pow.f64 (fma.f64 b (/.f64 d c) a) 2))
(log.f64 (exp.f64 (fma.f64 b (/.f64 d c) a)))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 b (/.f64 d c) a))))
(log.f64 (/.f64 (exp.f64 a) (pow.f64 (exp.f64 (/.f64 d c)) b)))
(cbrt.f64 (pow.f64 (fma.f64 b (/.f64 d c) a) 3))
(expm1.f64 (log1p.f64 (fma.f64 b (/.f64 d c) a)))
(log1p.f64 (expm1.f64 (fma.f64 b (/.f64 d c) a)))
(exp.f64 (log.f64 (fma.f64 b (/.f64 d c) a)))
(exp.f64 (*.f64 (log.f64 (fma.f64 b (/.f64 d c) a)) 1))
(fma.f64 b (/.f64 d c) a)
(fma.f64 a -1 (*.f64 b (/.f64 d c)))
(fma.f64 1 a (*.f64 b (/.f64 d c)))
(fma.f64 1 (*.f64 b (/.f64 d c)) a)
(fma.f64 (/.f64 d c) b a)
(fma.f64 -1 a (*.f64 b (/.f64 d c)))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 b (/.f64 d c))) 2) (cbrt.f64 (*.f64 b (/.f64 d c))) a)
(fma.f64 (pow.f64 (cbrt.f64 a) 2) (cbrt.f64 a) (*.f64 b (/.f64 d c)))
(fma.f64 (sqrt.f64 (*.f64 b (/.f64 d c))) (sqrt.f64 (*.f64 b (/.f64 d c))) a)
(fma.f64 (sqrt.f64 a) (sqrt.f64 a) (*.f64 b (/.f64 d c)))

simplify552.0ms (5.8%)

Algorithm
egg-herbie
Rules
1434×fma-neg
974×associate-*r*
848×fma-define
802×associate-*l*
712×times-frac
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
070926654
1198324236
2790524230
Stop Event
node limit
Counts
489 → 488
Calls
Call 1
Inputs
(*.f64 (*.f64 a c) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 c 2) (pow.f64 d 2)))))
(+.f64 (*.f64 (*.f64 a c) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 c 2) (pow.f64 d 2))))) (*.f64 (*.f64 b d) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 c 2) (pow.f64 d 2))))))
(+.f64 (*.f64 (*.f64 a c) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 c 2) (pow.f64 d 2))))) (*.f64 (*.f64 b d) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 c 2) (pow.f64 d 2))))))
(+.f64 (*.f64 (*.f64 a c) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 c 2) (pow.f64 d 2))))) (*.f64 (*.f64 b d) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 c 2) (pow.f64 d 2))))))
(*.f64 (*.f64 b d) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 c 2) (pow.f64 d 2)))))
(+.f64 (*.f64 (*.f64 a c) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 c 2) (pow.f64 d 2))))) (*.f64 (*.f64 b d) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 c 2) (pow.f64 d 2))))))
(+.f64 (*.f64 (*.f64 a c) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 c 2) (pow.f64 d 2))))) (*.f64 (*.f64 b d) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 c 2) (pow.f64 d 2))))))
(+.f64 (*.f64 (*.f64 a c) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 c 2) (pow.f64 d 2))))) (*.f64 (*.f64 b d) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 c 2) (pow.f64 d 2))))))
(*.f64 (*.f64 b d) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 c 2) (pow.f64 d 2)))))
(+.f64 (*.f64 (*.f64 a c) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 c 2) (pow.f64 d 2))))) (*.f64 (*.f64 b d) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 c 2) (pow.f64 d 2))))))
(+.f64 (*.f64 (*.f64 a c) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 c 2) (pow.f64 d 2))))) (*.f64 (*.f64 b d) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 c 2) (pow.f64 d 2))))))
(+.f64 (*.f64 (*.f64 a c) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 c 2) (pow.f64 d 2))))) (*.f64 (*.f64 b d) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 c 2) (pow.f64 d 2))))))
a
(+.f64 a (/.f64 (*.f64 b d) c))
(+.f64 a (+.f64 (*.f64 -1/2 (/.f64 (*.f64 a (pow.f64 d 2)) (pow.f64 c 2))) (/.f64 (*.f64 b d) c)))
(+.f64 a (+.f64 (*.f64 -1/2 (/.f64 (*.f64 a (pow.f64 d 2)) (pow.f64 c 2))) (+.f64 (*.f64 -1/2 (/.f64 (*.f64 b (pow.f64 d 3)) (pow.f64 c 3))) (/.f64 (*.f64 b d) c))))
b
(+.f64 b (/.f64 (*.f64 a c) d))
(+.f64 b (+.f64 (*.f64 -1/2 (/.f64 (*.f64 b (pow.f64 c 2)) (pow.f64 d 2))) (/.f64 (*.f64 a c) d)))
(+.f64 b (+.f64 (*.f64 -1/2 (/.f64 (*.f64 a (pow.f64 c 3)) (pow.f64 d 3))) (+.f64 (*.f64 -1/2 (/.f64 (*.f64 b (pow.f64 c 2)) (pow.f64 d 2))) (/.f64 (*.f64 a c) d))))
(*.f64 -1 b)
(+.f64 (*.f64 -1 b) (*.f64 -1 (/.f64 (*.f64 a c) d)))
(+.f64 (*.f64 -1 b) (+.f64 (*.f64 -1 (/.f64 (*.f64 a c) d)) (*.f64 1/2 (/.f64 (*.f64 b (pow.f64 c 2)) (pow.f64 d 2)))))
(+.f64 (*.f64 -1 b) (+.f64 (*.f64 -1 (/.f64 (*.f64 a c) d)) (+.f64 (*.f64 1/2 (/.f64 (*.f64 a (pow.f64 c 3)) (pow.f64 d 3))) (*.f64 1/2 (/.f64 (*.f64 b (pow.f64 c 2)) (pow.f64 d 2))))))
(*.f64 (*.f64 b d) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 c 2) (pow.f64 d 2)))))
(+.f64 (*.f64 (*.f64 a c) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 c 2) (pow.f64 d 2))))) (*.f64 (*.f64 b d) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 c 2) (pow.f64 d 2))))))
(+.f64 (*.f64 (*.f64 a c) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 c 2) (pow.f64 d 2))))) (*.f64 (*.f64 b d) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 c 2) (pow.f64 d 2))))))
(+.f64 (*.f64 (*.f64 a c) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 c 2) (pow.f64 d 2))))) (*.f64 (*.f64 b d) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 c 2) (pow.f64 d 2))))))
(*.f64 (*.f64 a c) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 c 2) (pow.f64 d 2)))))
(+.f64 (*.f64 (*.f64 a c) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 c 2) (pow.f64 d 2))))) (*.f64 (*.f64 b d) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 c 2) (pow.f64 d 2))))))
(+.f64 (*.f64 (*.f64 a c) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 c 2) (pow.f64 d 2))))) (*.f64 (*.f64 b d) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 c 2) (pow.f64 d 2))))))
(+.f64 (*.f64 (*.f64 a c) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 c 2) (pow.f64 d 2))))) (*.f64 (*.f64 b d) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 c 2) (pow.f64 d 2))))))
(*.f64 (*.f64 a c) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 c 2) (pow.f64 d 2)))))
(+.f64 (*.f64 (*.f64 a c) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 c 2) (pow.f64 d 2))))) (*.f64 (*.f64 b d) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 c 2) (pow.f64 d 2))))))
(+.f64 (*.f64 (*.f64 a c) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 c 2) (pow.f64 d 2))))) (*.f64 (*.f64 b d) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 c 2) (pow.f64 d 2))))))
(+.f64 (*.f64 (*.f64 a c) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 c 2) (pow.f64 d 2))))) (*.f64 (*.f64 b d) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 c 2) (pow.f64 d 2))))))
b
(+.f64 b (/.f64 (*.f64 a c) d))
(+.f64 b (+.f64 (*.f64 -1/2 (/.f64 (*.f64 b (pow.f64 c 2)) (pow.f64 d 2))) (/.f64 (*.f64 a c) d)))
(+.f64 b (+.f64 (*.f64 -1/2 (/.f64 (*.f64 a (pow.f64 c 3)) (pow.f64 d 3))) (+.f64 (*.f64 -1/2 (/.f64 (*.f64 b (pow.f64 c 2)) (pow.f64 d 2))) (/.f64 (*.f64 a c) d))))
a
(+.f64 a (/.f64 (*.f64 b d) c))
(+.f64 a (+.f64 (*.f64 -1/2 (/.f64 (*.f64 a (pow.f64 d 2)) (pow.f64 c 2))) (/.f64 (*.f64 b d) c)))
(+.f64 a (+.f64 (*.f64 -1/2 (/.f64 (*.f64 a (pow.f64 d 2)) (pow.f64 c 2))) (+.f64 (*.f64 -1/2 (/.f64 (*.f64 b (pow.f64 d 3)) (pow.f64 c 3))) (/.f64 (*.f64 b d) c))))
(*.f64 -1 a)
(+.f64 (*.f64 -1 a) (*.f64 -1 (/.f64 (*.f64 b d) c)))
(+.f64 (*.f64 -1 a) (+.f64 (*.f64 -1 (/.f64 (*.f64 b d) c)) (*.f64 1/2 (/.f64 (*.f64 a (pow.f64 d 2)) (pow.f64 c 2)))))
(+.f64 (*.f64 -1 a) (+.f64 (*.f64 -1 (/.f64 (*.f64 b d) c)) (+.f64 (*.f64 1/2 (/.f64 (*.f64 a (pow.f64 d 2)) (pow.f64 c 2))) (*.f64 1/2 (/.f64 (*.f64 b (pow.f64 d 3)) (pow.f64 c 3))))))
(/.f64 (*.f64 a c) (+.f64 (pow.f64 c 2) (pow.f64 d 2)))
(+.f64 (/.f64 (*.f64 a c) (+.f64 (pow.f64 c 2) (pow.f64 d 2))) (/.f64 (*.f64 b d) (+.f64 (pow.f64 c 2) (pow.f64 d 2))))
(+.f64 (/.f64 (*.f64 a c) (+.f64 (pow.f64 c 2) (pow.f64 d 2))) (/.f64 (*.f64 b d) (+.f64 (pow.f64 c 2) (pow.f64 d 2))))
(+.f64 (/.f64 (*.f64 a c) (+.f64 (pow.f64 c 2) (pow.f64 d 2))) (/.f64 (*.f64 b d) (+.f64 (pow.f64 c 2) (pow.f64 d 2))))
(/.f64 (*.f64 b d) (+.f64 (pow.f64 c 2) (pow.f64 d 2)))
(+.f64 (/.f64 (*.f64 a c) (+.f64 (pow.f64 c 2) (pow.f64 d 2))) (/.f64 (*.f64 b d) (+.f64 (pow.f64 c 2) (pow.f64 d 2))))
(+.f64 (/.f64 (*.f64 a c) (+.f64 (pow.f64 c 2) (pow.f64 d 2))) (/.f64 (*.f64 b d) (+.f64 (pow.f64 c 2) (pow.f64 d 2))))
(+.f64 (/.f64 (*.f64 a c) (+.f64 (pow.f64 c 2) (pow.f64 d 2))) (/.f64 (*.f64 b d) (+.f64 (pow.f64 c 2) (pow.f64 d 2))))
(/.f64 (*.f64 b d) (+.f64 (pow.f64 c 2) (pow.f64 d 2)))
(+.f64 (/.f64 (*.f64 a c) (+.f64 (pow.f64 c 2) (pow.f64 d 2))) (/.f64 (*.f64 b d) (+.f64 (pow.f64 c 2) (pow.f64 d 2))))
(+.f64 (/.f64 (*.f64 a c) (+.f64 (pow.f64 c 2) (pow.f64 d 2))) (/.f64 (*.f64 b d) (+.f64 (pow.f64 c 2) (pow.f64 d 2))))
(+.f64 (/.f64 (*.f64 a c) (+.f64 (pow.f64 c 2) (pow.f64 d 2))) (/.f64 (*.f64 b d) (+.f64 (pow.f64 c 2) (pow.f64 d 2))))
(/.f64 a c)
(+.f64 (/.f64 a c) (/.f64 (*.f64 b d) (pow.f64 c 2)))
(+.f64 (*.f64 -1 (/.f64 (*.f64 a (pow.f64 d 2)) (pow.f64 c 3))) (+.f64 (/.f64 a c) (/.f64 (*.f64 b d) (pow.f64 c 2))))
(+.f64 (*.f64 -1 (/.f64 (*.f64 a (pow.f64 d 2)) (pow.f64 c 3))) (+.f64 (*.f64 -1 (/.f64 (*.f64 b (pow.f64 d 3)) (pow.f64 c 4))) (+.f64 (/.f64 a c) (/.f64 (*.f64 b d) (pow.f64 c 2)))))
(/.f64 b d)
(+.f64 (/.f64 b d) (/.f64 (*.f64 a c) (pow.f64 d 2)))
(+.f64 (*.f64 -1 (/.f64 (*.f64 b (pow.f64 c 2)) (pow.f64 d 3))) (+.f64 (/.f64 b d) (/.f64 (*.f64 a c) (pow.f64 d 2))))
(+.f64 (*.f64 -1 (/.f64 (*.f64 a (pow.f64 c 3)) (pow.f64 d 4))) (+.f64 (*.f64 -1 (/.f64 (*.f64 b (pow.f64 c 2)) (pow.f64 d 3))) (+.f64 (/.f64 b d) (/.f64 (*.f64 a c) (pow.f64 d 2)))))
(/.f64 b d)
(+.f64 (/.f64 b d) (/.f64 (*.f64 a c) (pow.f64 d 2)))
(+.f64 (*.f64 -1 (/.f64 (*.f64 b (pow.f64 c 2)) (pow.f64 d 3))) (+.f64 (/.f64 b d) (/.f64 (*.f64 a c) (pow.f64 d 2))))
(+.f64 (*.f64 -1 (/.f64 (*.f64 a (pow.f64 c 3)) (pow.f64 d 4))) (+.f64 (*.f64 -1 (/.f64 (*.f64 b (pow.f64 c 2)) (pow.f64 d 3))) (+.f64 (/.f64 b d) (/.f64 (*.f64 a c) (pow.f64 d 2)))))
(/.f64 (*.f64 b d) (+.f64 (pow.f64 c 2) (pow.f64 d 2)))
(+.f64 (/.f64 (*.f64 a c) (+.f64 (pow.f64 c 2) (pow.f64 d 2))) (/.f64 (*.f64 b d) (+.f64 (pow.f64 c 2) (pow.f64 d 2))))
(+.f64 (/.f64 (*.f64 a c) (+.f64 (pow.f64 c 2) (pow.f64 d 2))) (/.f64 (*.f64 b d) (+.f64 (pow.f64 c 2) (pow.f64 d 2))))
(+.f64 (/.f64 (*.f64 a c) (+.f64 (pow.f64 c 2) (pow.f64 d 2))) (/.f64 (*.f64 b d) (+.f64 (pow.f64 c 2) (pow.f64 d 2))))
(/.f64 (*.f64 a c) (+.f64 (pow.f64 c 2) (pow.f64 d 2)))
(+.f64 (/.f64 (*.f64 a c) (+.f64 (pow.f64 c 2) (pow.f64 d 2))) (/.f64 (*.f64 b d) (+.f64 (pow.f64 c 2) (pow.f64 d 2))))
(+.f64 (/.f64 (*.f64 a c) (+.f64 (pow.f64 c 2) (pow.f64 d 2))) (/.f64 (*.f64 b d) (+.f64 (pow.f64 c 2) (pow.f64 d 2))))
(+.f64 (/.f64 (*.f64 a c) (+.f64 (pow.f64 c 2) (pow.f64 d 2))) (/.f64 (*.f64 b d) (+.f64 (pow.f64 c 2) (pow.f64 d 2))))
(/.f64 (*.f64 a c) (+.f64 (pow.f64 c 2) (pow.f64 d 2)))
(+.f64 (/.f64 (*.f64 a c) (+.f64 (pow.f64 c 2) (pow.f64 d 2))) (/.f64 (*.f64 b d) (+.f64 (pow.f64 c 2) (pow.f64 d 2))))
(+.f64 (/.f64 (*.f64 a c) (+.f64 (pow.f64 c 2) (pow.f64 d 2))) (/.f64 (*.f64 b d) (+.f64 (pow.f64 c 2) (pow.f64 d 2))))
(+.f64 (/.f64 (*.f64 a c) (+.f64 (pow.f64 c 2) (pow.f64 d 2))) (/.f64 (*.f64 b d) (+.f64 (pow.f64 c 2) (pow.f64 d 2))))
(/.f64 b d)
(+.f64 (/.f64 b d) (/.f64 (*.f64 a c) (pow.f64 d 2)))
(+.f64 (*.f64 -1 (/.f64 (*.f64 b (pow.f64 c 2)) (pow.f64 d 3))) (+.f64 (/.f64 b d) (/.f64 (*.f64 a c) (pow.f64 d 2))))
(+.f64 (*.f64 -1 (/.f64 (*.f64 a (pow.f64 c 3)) (pow.f64 d 4))) (+.f64 (*.f64 -1 (/.f64 (*.f64 b (pow.f64 c 2)) (pow.f64 d 3))) (+.f64 (/.f64 b d) (/.f64 (*.f64 a c) (pow.f64 d 2)))))
(/.f64 a c)
(+.f64 (/.f64 a c) (/.f64 (*.f64 b d) (pow.f64 c 2)))
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(cbrt.f64 (/.f64 (pow.f64 (fma.f64 b (/.f64 d c) a) 3) (pow.f64 (hypot.f64 c d) 3)))
(expm1.f64 (log1p.f64 (/.f64 (fma.f64 b (/.f64 d c) a) (hypot.f64 c d))))
(log1p.f64 (expm1.f64 (/.f64 (fma.f64 b (/.f64 d c) a) (hypot.f64 c d))))
(exp.f64 (log.f64 (/.f64 (fma.f64 b (/.f64 d c) a) (hypot.f64 c d))))
(exp.f64 (*.f64 (log.f64 (/.f64 (fma.f64 b (/.f64 d c) a) (hypot.f64 c d))) 1))
(-.f64 a (*.f64 b (/.f64 d c)))
(-.f64 0 (fma.f64 b (/.f64 d c) a))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 b (/.f64 d c) a))) 1)
(-.f64 (/.f64 (pow.f64 a 2) (fma.f64 b (/.f64 d c) a)) (/.f64 (pow.f64 (*.f64 b (/.f64 d c)) 2) (fma.f64 b (/.f64 d c) a)))
(*.f64 1 (fma.f64 b (/.f64 d c) a))
(*.f64 -1 (fma.f64 b (/.f64 d c) a))
(*.f64 (fma.f64 b (/.f64 d c) a) 1)
(*.f64 (fma.f64 b (/.f64 d c) a) -1)
(*.f64 (cbrt.f64 (fma.f64 b (/.f64 d c) a)) (pow.f64 (cbrt.f64 (fma.f64 b (/.f64 d c) a)) 2))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 b (/.f64 d c) a)) 2) (cbrt.f64 (fma.f64 b (/.f64 d c) a)))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 b (/.f64 d c) a)) 2) (neg.f64 (cbrt.f64 (fma.f64 b (/.f64 d c) a))))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 b (/.f64 d c) a)) 2) (*.f64 (cbrt.f64 (fma.f64 b (/.f64 d c) a)) -1))
(*.f64 (pow.f64 (fma.f64 b (/.f64 d c) a) 2) (/.f64 1 (fma.f64 b (/.f64 d c) a)))
(*.f64 (sqrt.f64 (fma.f64 b (/.f64 d c) a)) (sqrt.f64 (fma.f64 b (/.f64 d c) a)))
(*.f64 (sqrt.f64 (fma.f64 b (/.f64 d c) a)) (neg.f64 (sqrt.f64 (fma.f64 b (/.f64 d c) a))))
(*.f64 (sqrt.f64 (fma.f64 b (/.f64 d c) a)) (*.f64 (sqrt.f64 (fma.f64 b (/.f64 d c) a)) -1))
(*.f64 (+.f64 (pow.f64 (*.f64 b (/.f64 d c)) 3) (pow.f64 a 3)) (/.f64 1 (-.f64 (pow.f64 (fma.f64 b (/.f64 d c) a) 2) (/.f64 (*.f64 a (*.f64 b d)) c))))
(*.f64 (+.f64 (sqrt.f64 a) (sqrt.f64 (*.f64 b (/.f64 d c)))) (-.f64 (sqrt.f64 a) (sqrt.f64 (*.f64 b (/.f64 d c)))))
(*.f64 (neg.f64 (pow.f64 (cbrt.f64 (fma.f64 b (/.f64 d c) a)) 2)) (cbrt.f64 (fma.f64 b (/.f64 d c) a)))
(*.f64 (neg.f64 (sqrt.f64 (fma.f64 b (/.f64 d c) a))) (sqrt.f64 (fma.f64 b (/.f64 d c) a)))
(*.f64 (*.f64 -1 (pow.f64 (cbrt.f64 (fma.f64 b (/.f64 d c) a)) 2)) (cbrt.f64 (fma.f64 b (/.f64 d c) a)))
(*.f64 (*.f64 -1 (sqrt.f64 (fma.f64 b (/.f64 d c) a))) (sqrt.f64 (fma.f64 b (/.f64 d c) a)))
(/.f64 1 (/.f64 (-.f64 (pow.f64 (fma.f64 b (/.f64 d c) a) 2) (/.f64 (*.f64 a (*.f64 b d)) c)) (+.f64 (pow.f64 (*.f64 b (/.f64 d c)) 3) (pow.f64 a 3))))
(/.f64 1 (/.f64 (fma.f64 b (/.f64 d c) a) (pow.f64 (fma.f64 b (/.f64 d c) a) 2)))
(/.f64 (pow.f64 (fma.f64 b (/.f64 d c) a) 2) (fma.f64 b (/.f64 d c) a))
(/.f64 (+.f64 (pow.f64 (*.f64 b (/.f64 d c)) 3) (pow.f64 a 3)) (-.f64 (pow.f64 (fma.f64 b (/.f64 d c) a) 2) (/.f64 (*.f64 a (*.f64 b d)) c)))
(/.f64 (+.f64 (pow.f64 (*.f64 b (/.f64 d c)) 3) (pow.f64 a 3)) (neg.f64 (-.f64 (pow.f64 (fma.f64 b (/.f64 d c) a) 2) (/.f64 (*.f64 a (*.f64 b d)) c))))
(/.f64 (+.f64 (pow.f64 (*.f64 b (/.f64 d c)) 3) (pow.f64 a 3)) (+.f64 (pow.f64 (*.f64 b (/.f64 d c)) 2) (-.f64 (pow.f64 a 2) (/.f64 (*.f64 a (*.f64 b d)) c))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 b (/.f64 d c)) 3) (pow.f64 a 3))) (-.f64 (pow.f64 (fma.f64 b (/.f64 d c) a) 2) (/.f64 (*.f64 a (*.f64 b d)) c)))
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 b (/.f64 d c)) 3) (pow.f64 a 3))) (neg.f64 (-.f64 (pow.f64 (fma.f64 b (/.f64 d c) a) 2) (/.f64 (*.f64 a (*.f64 b d)) c))))
(/.f64 (+.f64 (pow.f64 (neg.f64 a) 3) (pow.f64 (*.f64 b (/.f64 d c)) 3)) (+.f64 (*.f64 (neg.f64 a) (neg.f64 a)) (-.f64 (pow.f64 (*.f64 b (/.f64 d c)) 2) (*.f64 (neg.f64 a) (*.f64 b (/.f64 d c))))))
(/.f64 (-.f64 (pow.f64 a 3) (pow.f64 (*.f64 b (/.f64 d c)) 3)) (+.f64 (pow.f64 a 2) (+.f64 (pow.f64 (*.f64 b (/.f64 d c)) 2) (/.f64 (*.f64 a (*.f64 b d)) c))))
(/.f64 (-.f64 (*.f64 (neg.f64 a) (neg.f64 a)) (pow.f64 (*.f64 b (/.f64 d c)) 2)) (-.f64 (neg.f64 a) (*.f64 b (/.f64 d c))))
(/.f64 (-.f64 (pow.f64 (*.f64 b (/.f64 d c)) 2) (pow.f64 a 2)) (-.f64 (*.f64 b (/.f64 d c)) a))
(/.f64 (*.f64 -1 (+.f64 (pow.f64 (*.f64 b (/.f64 d c)) 3) (pow.f64 a 3))) (-.f64 (pow.f64 (fma.f64 b (/.f64 d c) a) 2) (/.f64 (*.f64 a (*.f64 b d)) c)))
(/.f64 (*.f64 (+.f64 (pow.f64 (*.f64 b (/.f64 d c)) 3) (pow.f64 a 3)) -1) (-.f64 (pow.f64 (fma.f64 b (/.f64 d c) a) 2) (/.f64 (*.f64 a (*.f64 b d)) c)))
(pow.f64 (fma.f64 b (/.f64 d c) a) 1)
(pow.f64 (cbrt.f64 (fma.f64 b (/.f64 d c) a)) 3)
(pow.f64 (pow.f64 (fma.f64 b (/.f64 d c) a) 3) 1/3)
(pow.f64 (sqrt.f64 (fma.f64 b (/.f64 d c) a)) 2)
(neg.f64 (fma.f64 b (/.f64 d c) a))
(sqrt.f64 (pow.f64 (fma.f64 b (/.f64 d c) a) 2))
(log.f64 (exp.f64 (fma.f64 b (/.f64 d c) a)))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 b (/.f64 d c) a))))
(log.f64 (/.f64 (exp.f64 a) (pow.f64 (exp.f64 (/.f64 d c)) b)))
(cbrt.f64 (pow.f64 (fma.f64 b (/.f64 d c) a) 3))
(expm1.f64 (log1p.f64 (fma.f64 b (/.f64 d c) a)))
(log1p.f64 (expm1.f64 (fma.f64 b (/.f64 d c) a)))
(exp.f64 (log.f64 (fma.f64 b (/.f64 d c) a)))
(exp.f64 (*.f64 (log.f64 (fma.f64 b (/.f64 d c) a)) 1))
(fma.f64 b (/.f64 d c) a)
(fma.f64 a -1 (*.f64 b (/.f64 d c)))
(fma.f64 1 a (*.f64 b (/.f64 d c)))
(fma.f64 1 (*.f64 b (/.f64 d c)) a)
(fma.f64 (/.f64 d c) b a)
(fma.f64 -1 a (*.f64 b (/.f64 d c)))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 b (/.f64 d c))) 2) (cbrt.f64 (*.f64 b (/.f64 d c))) a)
(fma.f64 (pow.f64 (cbrt.f64 a) 2) (cbrt.f64 a) (*.f64 b (/.f64 d c)))
(fma.f64 (sqrt.f64 (*.f64 b (/.f64 d c))) (sqrt.f64 (*.f64 b (/.f64 d c))) a)
(fma.f64 (sqrt.f64 a) (sqrt.f64 a) (*.f64 b (/.f64 d c)))
Outputs
(*.f64 (*.f64 a c) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 c 2) (pow.f64 d 2)))))
(*.f64 (*.f64 a c) (sqrt.f64 (/.f64 1 (pow.f64 (hypot.f64 c d) 2))))
(+.f64 (*.f64 (*.f64 a c) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 c 2) (pow.f64 d 2))))) (*.f64 (*.f64 b d) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 c 2) (pow.f64 d 2))))))
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 c 2) (pow.f64 d 2)))) (+.f64 (*.f64 a c) (*.f64 d b)))
(*.f64 (sqrt.f64 (/.f64 1 (pow.f64 (hypot.f64 c d) 2))) (fma.f64 a c (*.f64 d b)))
(+.f64 (*.f64 (*.f64 a c) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 c 2) (pow.f64 d 2))))) (*.f64 (*.f64 b d) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 c 2) (pow.f64 d 2))))))
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 c 2) (pow.f64 d 2)))) (+.f64 (*.f64 a c) (*.f64 d b)))
(*.f64 (sqrt.f64 (/.f64 1 (pow.f64 (hypot.f64 c d) 2))) (fma.f64 a c (*.f64 d b)))
(+.f64 (*.f64 (*.f64 a c) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 c 2) (pow.f64 d 2))))) (*.f64 (*.f64 b d) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 c 2) (pow.f64 d 2))))))
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 c 2) (pow.f64 d 2)))) (+.f64 (*.f64 a c) (*.f64 d b)))
(*.f64 (sqrt.f64 (/.f64 1 (pow.f64 (hypot.f64 c d) 2))) (fma.f64 a c (*.f64 d b)))
(*.f64 (*.f64 b d) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 c 2) (pow.f64 d 2)))))
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 c 2) (pow.f64 d 2)))) (*.f64 d b))
(*.f64 (sqrt.f64 (/.f64 1 (pow.f64 (hypot.f64 c d) 2))) (*.f64 d b))
(+.f64 (*.f64 (*.f64 a c) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 c 2) (pow.f64 d 2))))) (*.f64 (*.f64 b d) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 c 2) (pow.f64 d 2))))))
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 c 2) (pow.f64 d 2)))) (+.f64 (*.f64 a c) (*.f64 d b)))
(*.f64 (sqrt.f64 (/.f64 1 (pow.f64 (hypot.f64 c d) 2))) (fma.f64 a c (*.f64 d b)))
(+.f64 (*.f64 (*.f64 a c) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 c 2) (pow.f64 d 2))))) (*.f64 (*.f64 b d) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 c 2) (pow.f64 d 2))))))
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 c 2) (pow.f64 d 2)))) (+.f64 (*.f64 a c) (*.f64 d b)))
(*.f64 (sqrt.f64 (/.f64 1 (pow.f64 (hypot.f64 c d) 2))) (fma.f64 a c (*.f64 d b)))
(+.f64 (*.f64 (*.f64 a c) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 c 2) (pow.f64 d 2))))) (*.f64 (*.f64 b d) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 c 2) (pow.f64 d 2))))))
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 c 2) (pow.f64 d 2)))) (+.f64 (*.f64 a c) (*.f64 d b)))
(*.f64 (sqrt.f64 (/.f64 1 (pow.f64 (hypot.f64 c d) 2))) (fma.f64 a c (*.f64 d b)))
(*.f64 (*.f64 b d) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 c 2) (pow.f64 d 2)))))
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 c 2) (pow.f64 d 2)))) (*.f64 d b))
(*.f64 (sqrt.f64 (/.f64 1 (pow.f64 (hypot.f64 c d) 2))) (*.f64 d b))
(+.f64 (*.f64 (*.f64 a c) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 c 2) (pow.f64 d 2))))) (*.f64 (*.f64 b d) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 c 2) (pow.f64 d 2))))))
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 c 2) (pow.f64 d 2)))) (+.f64 (*.f64 a c) (*.f64 d b)))
(*.f64 (sqrt.f64 (/.f64 1 (pow.f64 (hypot.f64 c d) 2))) (fma.f64 a c (*.f64 d b)))
(+.f64 (*.f64 (*.f64 a c) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 c 2) (pow.f64 d 2))))) (*.f64 (*.f64 b d) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 c 2) (pow.f64 d 2))))))
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 c 2) (pow.f64 d 2)))) (+.f64 (*.f64 a c) (*.f64 d b)))
(*.f64 (sqrt.f64 (/.f64 1 (pow.f64 (hypot.f64 c d) 2))) (fma.f64 a c (*.f64 d b)))
(+.f64 (*.f64 (*.f64 a c) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 c 2) (pow.f64 d 2))))) (*.f64 (*.f64 b d) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 c 2) (pow.f64 d 2))))))
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 c 2) (pow.f64 d 2)))) (+.f64 (*.f64 a c) (*.f64 d b)))
(*.f64 (sqrt.f64 (/.f64 1 (pow.f64 (hypot.f64 c d) 2))) (fma.f64 a c (*.f64 d b)))
a
(+.f64 a (/.f64 (*.f64 b d) c))
(fma.f64 b (/.f64 d c) a)
(fma.f64 d (/.f64 b c) a)
(+.f64 a (+.f64 (*.f64 -1/2 (/.f64 (*.f64 a (pow.f64 d 2)) (pow.f64 c 2))) (/.f64 (*.f64 b d) c)))
(+.f64 a (fma.f64 -1/2 (*.f64 a (/.f64 (pow.f64 d 2) (pow.f64 c 2))) (*.f64 b (/.f64 d c))))
(+.f64 a (fma.f64 -1/2 (*.f64 (pow.f64 d 2) (/.f64 a (pow.f64 c 2))) (*.f64 d (/.f64 b c))))
(+.f64 a (+.f64 (*.f64 -1/2 (/.f64 (*.f64 a (pow.f64 d 2)) (pow.f64 c 2))) (+.f64 (*.f64 -1/2 (/.f64 (*.f64 b (pow.f64 d 3)) (pow.f64 c 3))) (/.f64 (*.f64 b d) c))))
(+.f64 a (fma.f64 -1/2 (*.f64 a (/.f64 (pow.f64 d 2) (pow.f64 c 2))) (fma.f64 -1/2 (*.f64 b (/.f64 (pow.f64 d 3) (pow.f64 c 3))) (*.f64 b (/.f64 d c)))))
(+.f64 (*.f64 -1/2 (fma.f64 a (/.f64 (pow.f64 d 2) (pow.f64 c 2)) (*.f64 b (pow.f64 (/.f64 d c) 3)))) (fma.f64 b (/.f64 d c) a))
(+.f64 (*.f64 -1/2 (fma.f64 a (/.f64 (pow.f64 d 2) (pow.f64 c 2)) (*.f64 b (pow.f64 (/.f64 d c) 3)))) (fma.f64 d (/.f64 b c) a))
b
(+.f64 b (/.f64 (*.f64 a c) d))
(+.f64 b (*.f64 a (/.f64 c d)))
(fma.f64 a (/.f64 c d) b)
(+.f64 b (+.f64 (*.f64 -1/2 (/.f64 (*.f64 b (pow.f64 c 2)) (pow.f64 d 2))) (/.f64 (*.f64 a c) d)))
(+.f64 b (fma.f64 -1/2 (/.f64 (*.f64 (pow.f64 c 2) b) (pow.f64 d 2)) (*.f64 a (/.f64 c d))))
(+.f64 (fma.f64 a (/.f64 c d) b) (/.f64 (*.f64 -1/2 (*.f64 (pow.f64 c 2) b)) (pow.f64 d 2)))
(+.f64 b (+.f64 (*.f64 -1/2 (/.f64 (*.f64 a (pow.f64 c 3)) (pow.f64 d 3))) (+.f64 (*.f64 -1/2 (/.f64 (*.f64 b (pow.f64 c 2)) (pow.f64 d 2))) (/.f64 (*.f64 a c) d))))
(+.f64 b (fma.f64 -1/2 (*.f64 a (/.f64 (pow.f64 c 3) (pow.f64 d 3))) (fma.f64 -1/2 (/.f64 (*.f64 (pow.f64 c 2) b) (pow.f64 d 2)) (*.f64 a (/.f64 c d)))))
(+.f64 (*.f64 -1/2 (fma.f64 a (/.f64 (pow.f64 c 3) (pow.f64 d 3)) (*.f64 (pow.f64 c 2) (/.f64 b (pow.f64 d 2))))) (fma.f64 a (/.f64 c d) b))
(*.f64 -1 b)
(neg.f64 b)
(+.f64 (*.f64 -1 b) (*.f64 -1 (/.f64 (*.f64 a c) d)))
(*.f64 -1 (+.f64 b (*.f64 a (/.f64 c d))))
(neg.f64 (fma.f64 a (/.f64 c d) b))
(+.f64 (*.f64 -1 b) (+.f64 (*.f64 -1 (/.f64 (*.f64 a c) d)) (*.f64 1/2 (/.f64 (*.f64 b (pow.f64 c 2)) (pow.f64 d 2)))))
(fma.f64 -1 b (fma.f64 -1 (*.f64 a (/.f64 c d)) (*.f64 (/.f64 (*.f64 (pow.f64 c 2) b) (pow.f64 d 2)) 1/2)))
(fma.f64 -1 (fma.f64 a (/.f64 c d) b) (/.f64 (*.f64 (*.f64 (pow.f64 c 2) b) 1/2) (pow.f64 d 2)))
(+.f64 (*.f64 -1 b) (+.f64 (*.f64 -1 (/.f64 (*.f64 a c) d)) (+.f64 (*.f64 1/2 (/.f64 (*.f64 a (pow.f64 c 3)) (pow.f64 d 3))) (*.f64 1/2 (/.f64 (*.f64 b (pow.f64 c 2)) (pow.f64 d 2))))))
(fma.f64 -1 b (fma.f64 -1 (*.f64 a (/.f64 c d)) (*.f64 1/2 (+.f64 (*.f64 a (/.f64 (pow.f64 c 3) (pow.f64 d 3))) (/.f64 (*.f64 (pow.f64 c 2) b) (pow.f64 d 2))))))
(fma.f64 -1 (fma.f64 a (/.f64 c d) b) (*.f64 1/2 (fma.f64 a (/.f64 (pow.f64 c 3) (pow.f64 d 3)) (*.f64 (pow.f64 c 2) (/.f64 b (pow.f64 d 2))))))
(*.f64 (*.f64 b d) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 c 2) (pow.f64 d 2)))))
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 c 2) (pow.f64 d 2)))) (*.f64 d b))
(*.f64 (sqrt.f64 (/.f64 1 (pow.f64 (hypot.f64 c d) 2))) (*.f64 d b))
(+.f64 (*.f64 (*.f64 a c) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 c 2) (pow.f64 d 2))))) (*.f64 (*.f64 b d) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 c 2) (pow.f64 d 2))))))
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 c 2) (pow.f64 d 2)))) (+.f64 (*.f64 a c) (*.f64 d b)))
(*.f64 (sqrt.f64 (/.f64 1 (pow.f64 (hypot.f64 c d) 2))) (fma.f64 a c (*.f64 d b)))
(+.f64 (*.f64 (*.f64 a c) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 c 2) (pow.f64 d 2))))) (*.f64 (*.f64 b d) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 c 2) (pow.f64 d 2))))))
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 c 2) (pow.f64 d 2)))) (+.f64 (*.f64 a c) (*.f64 d b)))
(*.f64 (sqrt.f64 (/.f64 1 (pow.f64 (hypot.f64 c d) 2))) (fma.f64 a c (*.f64 d b)))
(+.f64 (*.f64 (*.f64 a c) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 c 2) (pow.f64 d 2))))) (*.f64 (*.f64 b d) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 c 2) (pow.f64 d 2))))))
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 c 2) (pow.f64 d 2)))) (+.f64 (*.f64 a c) (*.f64 d b)))
(*.f64 (sqrt.f64 (/.f64 1 (pow.f64 (hypot.f64 c d) 2))) (fma.f64 a c (*.f64 d b)))
(*.f64 (*.f64 a c) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 c 2) (pow.f64 d 2)))))
(*.f64 (*.f64 a c) (sqrt.f64 (/.f64 1 (pow.f64 (hypot.f64 c d) 2))))
(+.f64 (*.f64 (*.f64 a c) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 c 2) (pow.f64 d 2))))) (*.f64 (*.f64 b d) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 c 2) (pow.f64 d 2))))))
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 c 2) (pow.f64 d 2)))) (+.f64 (*.f64 a c) (*.f64 d b)))
(*.f64 (sqrt.f64 (/.f64 1 (pow.f64 (hypot.f64 c d) 2))) (fma.f64 a c (*.f64 d b)))
(+.f64 (*.f64 (*.f64 a c) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 c 2) (pow.f64 d 2))))) (*.f64 (*.f64 b d) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 c 2) (pow.f64 d 2))))))
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 c 2) (pow.f64 d 2)))) (+.f64 (*.f64 a c) (*.f64 d b)))
(*.f64 (sqrt.f64 (/.f64 1 (pow.f64 (hypot.f64 c d) 2))) (fma.f64 a c (*.f64 d b)))
(+.f64 (*.f64 (*.f64 a c) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 c 2) (pow.f64 d 2))))) (*.f64 (*.f64 b d) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 c 2) (pow.f64 d 2))))))
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 c 2) (pow.f64 d 2)))) (+.f64 (*.f64 a c) (*.f64 d b)))
(*.f64 (sqrt.f64 (/.f64 1 (pow.f64 (hypot.f64 c d) 2))) (fma.f64 a c (*.f64 d b)))
(*.f64 (*.f64 a c) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 c 2) (pow.f64 d 2)))))
(*.f64 (*.f64 a c) (sqrt.f64 (/.f64 1 (pow.f64 (hypot.f64 c d) 2))))
(+.f64 (*.f64 (*.f64 a c) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 c 2) (pow.f64 d 2))))) (*.f64 (*.f64 b d) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 c 2) (pow.f64 d 2))))))
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 c 2) (pow.f64 d 2)))) (+.f64 (*.f64 a c) (*.f64 d b)))
(*.f64 (sqrt.f64 (/.f64 1 (pow.f64 (hypot.f64 c d) 2))) (fma.f64 a c (*.f64 d b)))
(+.f64 (*.f64 (*.f64 a c) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 c 2) (pow.f64 d 2))))) (*.f64 (*.f64 b d) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 c 2) (pow.f64 d 2))))))
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 c 2) (pow.f64 d 2)))) (+.f64 (*.f64 a c) (*.f64 d b)))
(*.f64 (sqrt.f64 (/.f64 1 (pow.f64 (hypot.f64 c d) 2))) (fma.f64 a c (*.f64 d b)))
(+.f64 (*.f64 (*.f64 a c) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 c 2) (pow.f64 d 2))))) (*.f64 (*.f64 b d) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 c 2) (pow.f64 d 2))))))
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 c 2) (pow.f64 d 2)))) (+.f64 (*.f64 a c) (*.f64 d b)))
(*.f64 (sqrt.f64 (/.f64 1 (pow.f64 (hypot.f64 c d) 2))) (fma.f64 a c (*.f64 d b)))
b
(+.f64 b (/.f64 (*.f64 a c) d))
(+.f64 b (*.f64 a (/.f64 c d)))
(fma.f64 a (/.f64 c d) b)
(+.f64 b (+.f64 (*.f64 -1/2 (/.f64 (*.f64 b (pow.f64 c 2)) (pow.f64 d 2))) (/.f64 (*.f64 a c) d)))
(+.f64 b (fma.f64 -1/2 (/.f64 (*.f64 (pow.f64 c 2) b) (pow.f64 d 2)) (*.f64 a (/.f64 c d))))
(+.f64 (fma.f64 a (/.f64 c d) b) (/.f64 (*.f64 -1/2 (*.f64 (pow.f64 c 2) b)) (pow.f64 d 2)))
(+.f64 b (+.f64 (*.f64 -1/2 (/.f64 (*.f64 a (pow.f64 c 3)) (pow.f64 d 3))) (+.f64 (*.f64 -1/2 (/.f64 (*.f64 b (pow.f64 c 2)) (pow.f64 d 2))) (/.f64 (*.f64 a c) d))))
(+.f64 b (fma.f64 -1/2 (*.f64 a (/.f64 (pow.f64 c 3) (pow.f64 d 3))) (fma.f64 -1/2 (/.f64 (*.f64 (pow.f64 c 2) b) (pow.f64 d 2)) (*.f64 a (/.f64 c d)))))
(+.f64 (*.f64 -1/2 (fma.f64 a (/.f64 (pow.f64 c 3) (pow.f64 d 3)) (*.f64 (pow.f64 c 2) (/.f64 b (pow.f64 d 2))))) (fma.f64 a (/.f64 c d) b))
a
(+.f64 a (/.f64 (*.f64 b d) c))
(fma.f64 b (/.f64 d c) a)
(fma.f64 d (/.f64 b c) a)
(+.f64 a (+.f64 (*.f64 -1/2 (/.f64 (*.f64 a (pow.f64 d 2)) (pow.f64 c 2))) (/.f64 (*.f64 b d) c)))
(+.f64 a (fma.f64 -1/2 (*.f64 a (/.f64 (pow.f64 d 2) (pow.f64 c 2))) (*.f64 b (/.f64 d c))))
(+.f64 a (fma.f64 -1/2 (*.f64 (pow.f64 d 2) (/.f64 a (pow.f64 c 2))) (*.f64 d (/.f64 b c))))
(+.f64 a (+.f64 (*.f64 -1/2 (/.f64 (*.f64 a (pow.f64 d 2)) (pow.f64 c 2))) (+.f64 (*.f64 -1/2 (/.f64 (*.f64 b (pow.f64 d 3)) (pow.f64 c 3))) (/.f64 (*.f64 b d) c))))
(+.f64 a (fma.f64 -1/2 (*.f64 a (/.f64 (pow.f64 d 2) (pow.f64 c 2))) (fma.f64 -1/2 (*.f64 b (/.f64 (pow.f64 d 3) (pow.f64 c 3))) (*.f64 b (/.f64 d c)))))
(+.f64 (*.f64 -1/2 (fma.f64 a (/.f64 (pow.f64 d 2) (pow.f64 c 2)) (*.f64 b (pow.f64 (/.f64 d c) 3)))) (fma.f64 b (/.f64 d c) a))
(+.f64 (*.f64 -1/2 (fma.f64 a (/.f64 (pow.f64 d 2) (pow.f64 c 2)) (*.f64 b (pow.f64 (/.f64 d c) 3)))) (fma.f64 d (/.f64 b c) a))
(*.f64 -1 a)
(neg.f64 a)
(+.f64 (*.f64 -1 a) (*.f64 -1 (/.f64 (*.f64 b d) c)))
(neg.f64 (fma.f64 b (/.f64 d c) a))
(neg.f64 (fma.f64 d (/.f64 b c) a))
(+.f64 (*.f64 -1 a) (+.f64 (*.f64 -1 (/.f64 (*.f64 b d) c)) (*.f64 1/2 (/.f64 (*.f64 a (pow.f64 d 2)) (pow.f64 c 2)))))
(+.f64 (neg.f64 (fma.f64 b (/.f64 d c) a)) (*.f64 (*.f64 a (/.f64 (pow.f64 d 2) (pow.f64 c 2))) 1/2))
(fma.f64 -1 (fma.f64 b (/.f64 d c) a) (*.f64 (*.f64 (pow.f64 d 2) (/.f64 a (pow.f64 c 2))) 1/2))
(fma.f64 -1 (fma.f64 d (/.f64 b c) a) (*.f64 (*.f64 (pow.f64 d 2) (/.f64 a (pow.f64 c 2))) 1/2))
(+.f64 (*.f64 -1 a) (+.f64 (*.f64 -1 (/.f64 (*.f64 b d) c)) (+.f64 (*.f64 1/2 (/.f64 (*.f64 a (pow.f64 d 2)) (pow.f64 c 2))) (*.f64 1/2 (/.f64 (*.f64 b (pow.f64 d 3)) (pow.f64 c 3))))))
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(fma.f64 -1 (fma.f64 b (/.f64 d c) a) (*.f64 1/2 (fma.f64 a (/.f64 (pow.f64 d 2) (pow.f64 c 2)) (*.f64 b (pow.f64 (/.f64 d c) 3)))))
(fma.f64 -1 (fma.f64 d (/.f64 b c) a) (*.f64 1/2 (fma.f64 a (/.f64 (pow.f64 d 2) (pow.f64 c 2)) (*.f64 b (pow.f64 (/.f64 d c) 3)))))
(/.f64 (*.f64 a c) (+.f64 (pow.f64 c 2) (pow.f64 d 2)))
(*.f64 a (/.f64 c (+.f64 (pow.f64 c 2) (pow.f64 d 2))))
(*.f64 a (/.f64 c (pow.f64 (hypot.f64 c d) 2)))
(+.f64 (/.f64 (*.f64 a c) (+.f64 (pow.f64 c 2) (pow.f64 d 2))) (/.f64 (*.f64 b d) (+.f64 (pow.f64 c 2) (pow.f64 d 2))))
(+.f64 (*.f64 a (/.f64 c (+.f64 (pow.f64 c 2) (pow.f64 d 2)))) (*.f64 b (/.f64 d (+.f64 (pow.f64 c 2) (pow.f64 d 2)))))
(fma.f64 a (/.f64 c (pow.f64 (hypot.f64 c d) 2)) (/.f64 (*.f64 d b) (pow.f64 (hypot.f64 c d) 2)))
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(fma.f64 a (/.f64 c (pow.f64 (hypot.f64 c d) 2)) (/.f64 (*.f64 d b) (pow.f64 (hypot.f64 c d) 2)))
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(fma.f64 a (/.f64 c (pow.f64 (hypot.f64 c d) 2)) (/.f64 (*.f64 d b) (pow.f64 (hypot.f64 c d) 2)))
(/.f64 (*.f64 b d) (+.f64 (pow.f64 c 2) (pow.f64 d 2)))
(*.f64 b (/.f64 d (+.f64 (pow.f64 c 2) (pow.f64 d 2))))
(/.f64 (*.f64 d b) (pow.f64 (hypot.f64 c d) 2))
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(+.f64 (*.f64 a (/.f64 c (+.f64 (pow.f64 c 2) (pow.f64 d 2)))) (*.f64 b (/.f64 d (+.f64 (pow.f64 c 2) (pow.f64 d 2)))))
(fma.f64 a (/.f64 c (pow.f64 (hypot.f64 c d) 2)) (/.f64 (*.f64 d b) (pow.f64 (hypot.f64 c d) 2)))
(+.f64 (/.f64 (*.f64 a c) (+.f64 (pow.f64 c 2) (pow.f64 d 2))) (/.f64 (*.f64 b d) (+.f64 (pow.f64 c 2) (pow.f64 d 2))))
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(fma.f64 a (/.f64 c (pow.f64 (hypot.f64 c d) 2)) (/.f64 (*.f64 d b) (pow.f64 (hypot.f64 c d) 2)))
(+.f64 (/.f64 (*.f64 a c) (+.f64 (pow.f64 c 2) (pow.f64 d 2))) (/.f64 (*.f64 b d) (+.f64 (pow.f64 c 2) (pow.f64 d 2))))
(+.f64 (*.f64 a (/.f64 c (+.f64 (pow.f64 c 2) (pow.f64 d 2)))) (*.f64 b (/.f64 d (+.f64 (pow.f64 c 2) (pow.f64 d 2)))))
(fma.f64 a (/.f64 c (pow.f64 (hypot.f64 c d) 2)) (/.f64 (*.f64 d b) (pow.f64 (hypot.f64 c d) 2)))
(/.f64 (*.f64 b d) (+.f64 (pow.f64 c 2) (pow.f64 d 2)))
(*.f64 b (/.f64 d (+.f64 (pow.f64 c 2) (pow.f64 d 2))))
(/.f64 (*.f64 d b) (pow.f64 (hypot.f64 c d) 2))
(+.f64 (/.f64 (*.f64 a c) (+.f64 (pow.f64 c 2) (pow.f64 d 2))) (/.f64 (*.f64 b d) (+.f64 (pow.f64 c 2) (pow.f64 d 2))))
(+.f64 (*.f64 a (/.f64 c (+.f64 (pow.f64 c 2) (pow.f64 d 2)))) (*.f64 b (/.f64 d (+.f64 (pow.f64 c 2) (pow.f64 d 2)))))
(fma.f64 a (/.f64 c (pow.f64 (hypot.f64 c d) 2)) (/.f64 (*.f64 d b) (pow.f64 (hypot.f64 c d) 2)))
(+.f64 (/.f64 (*.f64 a c) (+.f64 (pow.f64 c 2) (pow.f64 d 2))) (/.f64 (*.f64 b d) (+.f64 (pow.f64 c 2) (pow.f64 d 2))))
(+.f64 (*.f64 a (/.f64 c (+.f64 (pow.f64 c 2) (pow.f64 d 2)))) (*.f64 b (/.f64 d (+.f64 (pow.f64 c 2) (pow.f64 d 2)))))
(fma.f64 a (/.f64 c (pow.f64 (hypot.f64 c d) 2)) (/.f64 (*.f64 d b) (pow.f64 (hypot.f64 c d) 2)))
(+.f64 (/.f64 (*.f64 a c) (+.f64 (pow.f64 c 2) (pow.f64 d 2))) (/.f64 (*.f64 b d) (+.f64 (pow.f64 c 2) (pow.f64 d 2))))
(+.f64 (*.f64 a (/.f64 c (+.f64 (pow.f64 c 2) (pow.f64 d 2)))) (*.f64 b (/.f64 d (+.f64 (pow.f64 c 2) (pow.f64 d 2)))))
(fma.f64 a (/.f64 c (pow.f64 (hypot.f64 c d) 2)) (/.f64 (*.f64 d b) (pow.f64 (hypot.f64 c d) 2)))
(/.f64 a c)
(+.f64 (/.f64 a c) (/.f64 (*.f64 b d) (pow.f64 c 2)))
(+.f64 (/.f64 a c) (*.f64 b (/.f64 d (pow.f64 c 2))))
(fma.f64 b (/.f64 d (pow.f64 c 2)) (/.f64 a c))
(+.f64 (*.f64 -1 (/.f64 (*.f64 a (pow.f64 d 2)) (pow.f64 c 3))) (+.f64 (/.f64 a c) (/.f64 (*.f64 b d) (pow.f64 c 2))))
(fma.f64 -1 (/.f64 (*.f64 a (pow.f64 d 2)) (pow.f64 c 3)) (+.f64 (/.f64 a c) (*.f64 b (/.f64 d (pow.f64 c 2)))))
(-.f64 (fma.f64 b (/.f64 d (pow.f64 c 2)) (/.f64 a c)) (*.f64 (pow.f64 d 2) (/.f64 a (pow.f64 c 3))))
(+.f64 (*.f64 -1 (/.f64 (*.f64 a (pow.f64 d 2)) (pow.f64 c 3))) (+.f64 (*.f64 -1 (/.f64 (*.f64 b (pow.f64 d 3)) (pow.f64 c 4))) (+.f64 (/.f64 a c) (/.f64 (*.f64 b d) (pow.f64 c 2)))))
(fma.f64 -1 (/.f64 (*.f64 a (pow.f64 d 2)) (pow.f64 c 3)) (fma.f64 -1 (*.f64 b (/.f64 (pow.f64 d 3) (pow.f64 c 4))) (+.f64 (/.f64 a c) (*.f64 b (/.f64 d (pow.f64 c 2))))))
(+.f64 (fma.f64 b (/.f64 d (pow.f64 c 2)) (/.f64 a c)) (neg.f64 (fma.f64 a (/.f64 (pow.f64 d 2) (pow.f64 c 3)) (*.f64 (pow.f64 d 3) (/.f64 b (pow.f64 c 4))))))
(/.f64 b d)
(+.f64 (/.f64 b d) (/.f64 (*.f64 a c) (pow.f64 d 2)))
(+.f64 (/.f64 b d) (*.f64 a (/.f64 c (pow.f64 d 2))))
(fma.f64 a (/.f64 c (pow.f64 d 2)) (/.f64 b d))
(+.f64 (*.f64 -1 (/.f64 (*.f64 b (pow.f64 c 2)) (pow.f64 d 3))) (+.f64 (/.f64 b d) (/.f64 (*.f64 a c) (pow.f64 d 2))))
(fma.f64 -1 (/.f64 (*.f64 (pow.f64 c 2) b) (pow.f64 d 3)) (+.f64 (/.f64 b d) (*.f64 a (/.f64 c (pow.f64 d 2)))))
(-.f64 (fma.f64 a (/.f64 c (pow.f64 d 2)) (/.f64 b d)) (*.f64 (pow.f64 c 2) (/.f64 b (pow.f64 d 3))))
(+.f64 (*.f64 -1 (/.f64 (*.f64 a (pow.f64 c 3)) (pow.f64 d 4))) (+.f64 (*.f64 -1 (/.f64 (*.f64 b (pow.f64 c 2)) (pow.f64 d 3))) (+.f64 (/.f64 b d) (/.f64 (*.f64 a c) (pow.f64 d 2)))))
(fma.f64 -1 (*.f64 a (/.f64 (pow.f64 c 3) (pow.f64 d 4))) (fma.f64 -1 (/.f64 (*.f64 (pow.f64 c 2) b) (pow.f64 d 3)) (+.f64 (/.f64 b d) (*.f64 a (/.f64 c (pow.f64 d 2))))))
(-.f64 (-.f64 (fma.f64 a (/.f64 c (pow.f64 d 2)) (/.f64 b d)) (*.f64 (pow.f64 c 2) (/.f64 b (pow.f64 d 3)))) (*.f64 a (/.f64 (pow.f64 c 3) (pow.f64 d 4))))
(/.f64 b d)
(+.f64 (/.f64 b d) (/.f64 (*.f64 a c) (pow.f64 d 2)))
(+.f64 (/.f64 b d) (*.f64 a (/.f64 c (pow.f64 d 2))))
(fma.f64 a (/.f64 c (pow.f64 d 2)) (/.f64 b d))
(+.f64 (*.f64 -1 (/.f64 (*.f64 b (pow.f64 c 2)) (pow.f64 d 3))) (+.f64 (/.f64 b d) (/.f64 (*.f64 a c) (pow.f64 d 2))))
(fma.f64 -1 (/.f64 (*.f64 (pow.f64 c 2) b) (pow.f64 d 3)) (+.f64 (/.f64 b d) (*.f64 a (/.f64 c (pow.f64 d 2)))))
(-.f64 (fma.f64 a (/.f64 c (pow.f64 d 2)) (/.f64 b d)) (*.f64 (pow.f64 c 2) (/.f64 b (pow.f64 d 3))))
(+.f64 (*.f64 -1 (/.f64 (*.f64 a (pow.f64 c 3)) (pow.f64 d 4))) (+.f64 (*.f64 -1 (/.f64 (*.f64 b (pow.f64 c 2)) (pow.f64 d 3))) (+.f64 (/.f64 b d) (/.f64 (*.f64 a c) (pow.f64 d 2)))))
(fma.f64 -1 (*.f64 a (/.f64 (pow.f64 c 3) (pow.f64 d 4))) (fma.f64 -1 (/.f64 (*.f64 (pow.f64 c 2) b) (pow.f64 d 3)) (+.f64 (/.f64 b d) (*.f64 a (/.f64 c (pow.f64 d 2))))))
(-.f64 (-.f64 (fma.f64 a (/.f64 c (pow.f64 d 2)) (/.f64 b d)) (*.f64 (pow.f64 c 2) (/.f64 b (pow.f64 d 3)))) (*.f64 a (/.f64 (pow.f64 c 3) (pow.f64 d 4))))
(/.f64 (*.f64 b d) (+.f64 (pow.f64 c 2) (pow.f64 d 2)))
(*.f64 b (/.f64 d (+.f64 (pow.f64 c 2) (pow.f64 d 2))))
(/.f64 (*.f64 d b) (pow.f64 (hypot.f64 c d) 2))
(+.f64 (/.f64 (*.f64 a c) (+.f64 (pow.f64 c 2) (pow.f64 d 2))) (/.f64 (*.f64 b d) (+.f64 (pow.f64 c 2) (pow.f64 d 2))))
(+.f64 (*.f64 a (/.f64 c (+.f64 (pow.f64 c 2) (pow.f64 d 2)))) (*.f64 b (/.f64 d (+.f64 (pow.f64 c 2) (pow.f64 d 2)))))
(fma.f64 a (/.f64 c (pow.f64 (hypot.f64 c d) 2)) (/.f64 (*.f64 d b) (pow.f64 (hypot.f64 c d) 2)))
(+.f64 (/.f64 (*.f64 a c) (+.f64 (pow.f64 c 2) (pow.f64 d 2))) (/.f64 (*.f64 b d) (+.f64 (pow.f64 c 2) (pow.f64 d 2))))
(+.f64 (*.f64 a (/.f64 c (+.f64 (pow.f64 c 2) (pow.f64 d 2)))) (*.f64 b (/.f64 d (+.f64 (pow.f64 c 2) (pow.f64 d 2)))))
(fma.f64 a (/.f64 c (pow.f64 (hypot.f64 c d) 2)) (/.f64 (*.f64 d b) (pow.f64 (hypot.f64 c d) 2)))
(+.f64 (/.f64 (*.f64 a c) (+.f64 (pow.f64 c 2) (pow.f64 d 2))) (/.f64 (*.f64 b d) (+.f64 (pow.f64 c 2) (pow.f64 d 2))))
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(fma.f64 a (/.f64 c (pow.f64 (hypot.f64 c d) 2)) (/.f64 (*.f64 d b) (pow.f64 (hypot.f64 c d) 2)))
(/.f64 (*.f64 a c) (+.f64 (pow.f64 c 2) (pow.f64 d 2)))
(*.f64 a (/.f64 c (+.f64 (pow.f64 c 2) (pow.f64 d 2))))
(*.f64 a (/.f64 c (pow.f64 (hypot.f64 c d) 2)))
(+.f64 (/.f64 (*.f64 a c) (+.f64 (pow.f64 c 2) (pow.f64 d 2))) (/.f64 (*.f64 b d) (+.f64 (pow.f64 c 2) (pow.f64 d 2))))
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(fma.f64 a (/.f64 c (pow.f64 (hypot.f64 c d) 2)) (/.f64 (*.f64 d b) (pow.f64 (hypot.f64 c d) 2)))
(+.f64 (/.f64 (*.f64 a c) (+.f64 (pow.f64 c 2) (pow.f64 d 2))) (/.f64 (*.f64 b d) (+.f64 (pow.f64 c 2) (pow.f64 d 2))))
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(fma.f64 a (/.f64 c (pow.f64 (hypot.f64 c d) 2)) (/.f64 (*.f64 d b) (pow.f64 (hypot.f64 c d) 2)))
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(fma.f64 a (/.f64 c (pow.f64 (hypot.f64 c d) 2)) (/.f64 (*.f64 d b) (pow.f64 (hypot.f64 c d) 2)))
(/.f64 (*.f64 a c) (+.f64 (pow.f64 c 2) (pow.f64 d 2)))
(*.f64 a (/.f64 c (+.f64 (pow.f64 c 2) (pow.f64 d 2))))
(*.f64 a (/.f64 c (pow.f64 (hypot.f64 c d) 2)))
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(fma.f64 a (/.f64 c (pow.f64 (hypot.f64 c d) 2)) (/.f64 (*.f64 d b) (pow.f64 (hypot.f64 c d) 2)))
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(/.f64 (+.f64 (pow.f64 (*.f64 d (/.f64 b c)) 3) (pow.f64 a 3)) (-.f64 (pow.f64 (fma.f64 b (/.f64 d c) a) 2) (*.f64 a (*.f64 d (/.f64 b c)))))
(/.f64 (+.f64 (pow.f64 (*.f64 d (/.f64 b c)) 3) (pow.f64 a 3)) (-.f64 (pow.f64 (fma.f64 d (/.f64 b c) a) 2) (*.f64 a (*.f64 d (/.f64 b c)))))
(/.f64 (+.f64 (pow.f64 (neg.f64 a) 3) (pow.f64 (*.f64 b (/.f64 d c)) 3)) (+.f64 (*.f64 (neg.f64 a) (neg.f64 a)) (-.f64 (pow.f64 (*.f64 b (/.f64 d c)) 2) (*.f64 (neg.f64 a) (*.f64 b (/.f64 d c))))))
(/.f64 (+.f64 (pow.f64 (*.f64 b (/.f64 d c)) 3) (pow.f64 (neg.f64 a) 3)) (+.f64 (pow.f64 a 2) (+.f64 (pow.f64 (*.f64 b (/.f64 d c)) 2) (*.f64 a (*.f64 b (/.f64 d c))))))
(/.f64 (-.f64 (pow.f64 (*.f64 d (/.f64 b c)) 3) (pow.f64 a 3)) (fma.f64 a a (*.f64 (*.f64 d (/.f64 b c)) (fma.f64 b (/.f64 d c) a))))
(/.f64 (-.f64 (pow.f64 (*.f64 d (/.f64 b c)) 3) (pow.f64 a 3)) (fma.f64 (*.f64 d (/.f64 b c)) (fma.f64 d (/.f64 b c) a) (pow.f64 a 2)))
(/.f64 (-.f64 (pow.f64 a 3) (pow.f64 (*.f64 b (/.f64 d c)) 3)) (+.f64 (pow.f64 a 2) (+.f64 (pow.f64 (*.f64 b (/.f64 d c)) 2) (/.f64 (*.f64 a (*.f64 b d)) c))))
(/.f64 (-.f64 (pow.f64 a 3) (pow.f64 (*.f64 b (/.f64 d c)) 3)) (+.f64 (pow.f64 a 2) (+.f64 (pow.f64 (*.f64 b (/.f64 d c)) 2) (*.f64 a (*.f64 b (/.f64 d c))))))
(/.f64 (-.f64 (pow.f64 a 3) (pow.f64 (*.f64 d (/.f64 b c)) 3)) (fma.f64 a a (*.f64 (*.f64 d (/.f64 b c)) (fma.f64 b (/.f64 d c) a))))
(/.f64 (-.f64 (pow.f64 a 3) (pow.f64 (*.f64 d (/.f64 b c)) 3)) (fma.f64 (*.f64 d (/.f64 b c)) (fma.f64 d (/.f64 b c) a) (pow.f64 a 2)))
(/.f64 (-.f64 (*.f64 (neg.f64 a) (neg.f64 a)) (pow.f64 (*.f64 b (/.f64 d c)) 2)) (-.f64 (neg.f64 a) (*.f64 b (/.f64 d c))))
(/.f64 (-.f64 (pow.f64 a 2) (pow.f64 (*.f64 b (/.f64 d c)) 2)) (neg.f64 (fma.f64 b (/.f64 d c) a)))
(/.f64 (-.f64 (pow.f64 a 2) (pow.f64 (*.f64 d (/.f64 b c)) 2)) (neg.f64 (fma.f64 b (/.f64 d c) a)))
(/.f64 (-.f64 (pow.f64 a 2) (pow.f64 (*.f64 d (/.f64 b c)) 2)) (neg.f64 (fma.f64 d (/.f64 b c) a)))
(/.f64 (-.f64 (pow.f64 (*.f64 b (/.f64 d c)) 2) (pow.f64 a 2)) (-.f64 (*.f64 b (/.f64 d c)) a))
(/.f64 (-.f64 (pow.f64 (*.f64 d (/.f64 b c)) 2) (pow.f64 a 2)) (-.f64 (*.f64 d (/.f64 b c)) a))
(/.f64 (*.f64 -1 (+.f64 (pow.f64 (*.f64 b (/.f64 d c)) 3) (pow.f64 a 3))) (-.f64 (pow.f64 (fma.f64 b (/.f64 d c) a) 2) (/.f64 (*.f64 a (*.f64 b d)) c)))
(/.f64 (+.f64 (pow.f64 (*.f64 b (/.f64 d c)) 3) (pow.f64 a 3)) (neg.f64 (-.f64 (pow.f64 (fma.f64 b (/.f64 d c) a) 2) (*.f64 a (*.f64 b (/.f64 d c))))))
(/.f64 (+.f64 (pow.f64 (*.f64 d (/.f64 b c)) 3) (pow.f64 a 3)) (+.f64 (neg.f64 (pow.f64 (fma.f64 b (/.f64 d c) a) 2)) (*.f64 a (*.f64 d (/.f64 b c)))))
(/.f64 (+.f64 (pow.f64 (*.f64 d (/.f64 b c)) 3) (pow.f64 a 3)) (+.f64 (neg.f64 (pow.f64 (fma.f64 d (/.f64 b c) a) 2)) (*.f64 a (*.f64 d (/.f64 b c)))))
(/.f64 (*.f64 (+.f64 (pow.f64 (*.f64 b (/.f64 d c)) 3) (pow.f64 a 3)) -1) (-.f64 (pow.f64 (fma.f64 b (/.f64 d c) a) 2) (/.f64 (*.f64 a (*.f64 b d)) c)))
(/.f64 (+.f64 (pow.f64 (*.f64 b (/.f64 d c)) 3) (pow.f64 a 3)) (neg.f64 (-.f64 (pow.f64 (fma.f64 b (/.f64 d c) a) 2) (*.f64 a (*.f64 b (/.f64 d c))))))
(/.f64 (+.f64 (pow.f64 (*.f64 d (/.f64 b c)) 3) (pow.f64 a 3)) (+.f64 (neg.f64 (pow.f64 (fma.f64 b (/.f64 d c) a) 2)) (*.f64 a (*.f64 d (/.f64 b c)))))
(/.f64 (+.f64 (pow.f64 (*.f64 d (/.f64 b c)) 3) (pow.f64 a 3)) (+.f64 (neg.f64 (pow.f64 (fma.f64 d (/.f64 b c) a) 2)) (*.f64 a (*.f64 d (/.f64 b c)))))
(pow.f64 (fma.f64 b (/.f64 d c) a) 1)
(fma.f64 b (/.f64 d c) a)
(fma.f64 d (/.f64 b c) a)
(pow.f64 (cbrt.f64 (fma.f64 b (/.f64 d c) a)) 3)
(fma.f64 b (/.f64 d c) a)
(fma.f64 d (/.f64 b c) a)
(pow.f64 (pow.f64 (fma.f64 b (/.f64 d c) a) 3) 1/3)
(fma.f64 b (/.f64 d c) a)
(fma.f64 d (/.f64 b c) a)
(pow.f64 (sqrt.f64 (fma.f64 b (/.f64 d c) a)) 2)
(fma.f64 b (/.f64 d c) a)
(fma.f64 d (/.f64 b c) a)
(neg.f64 (fma.f64 b (/.f64 d c) a))
(neg.f64 (fma.f64 d (/.f64 b c) a))
(sqrt.f64 (pow.f64 (fma.f64 b (/.f64 d c) a) 2))
(fabs.f64 (fma.f64 b (/.f64 d c) a))
(fabs.f64 (fma.f64 d (/.f64 b c) a))
(log.f64 (exp.f64 (fma.f64 b (/.f64 d c) a)))
(fma.f64 b (/.f64 d c) a)
(fma.f64 d (/.f64 b c) a)
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 b (/.f64 d c) a))))
(fma.f64 b (/.f64 d c) a)
(fma.f64 d (/.f64 b c) a)
(log.f64 (/.f64 (exp.f64 a) (pow.f64 (exp.f64 (/.f64 d c)) b)))
(-.f64 a (*.f64 b (/.f64 d c)))
(-.f64 a (*.f64 d (/.f64 b c)))
(cbrt.f64 (pow.f64 (fma.f64 b (/.f64 d c) a) 3))
(fma.f64 b (/.f64 d c) a)
(fma.f64 d (/.f64 b c) a)
(expm1.f64 (log1p.f64 (fma.f64 b (/.f64 d c) a)))
(expm1.f64 (log1p.f64 (fma.f64 d (/.f64 b c) a)))
(log1p.f64 (expm1.f64 (fma.f64 b (/.f64 d c) a)))
(fma.f64 b (/.f64 d c) a)
(fma.f64 d (/.f64 b c) a)
(exp.f64 (log.f64 (fma.f64 b (/.f64 d c) a)))
(fma.f64 b (/.f64 d c) a)
(fma.f64 d (/.f64 b c) a)
(exp.f64 (*.f64 (log.f64 (fma.f64 b (/.f64 d c) a)) 1))
(fma.f64 b (/.f64 d c) a)
(fma.f64 d (/.f64 b c) a)
(fma.f64 b (/.f64 d c) a)
(fma.f64 d (/.f64 b c) a)
(fma.f64 a -1 (*.f64 b (/.f64 d c)))
(-.f64 (*.f64 d (/.f64 b c)) a)
(fma.f64 1 a (*.f64 b (/.f64 d c)))
(fma.f64 b (/.f64 d c) a)
(fma.f64 d (/.f64 b c) a)
(fma.f64 1 (*.f64 b (/.f64 d c)) a)
(fma.f64 b (/.f64 d c) a)
(fma.f64 d (/.f64 b c) a)
(fma.f64 (/.f64 d c) b a)
(fma.f64 b (/.f64 d c) a)
(fma.f64 d (/.f64 b c) a)
(fma.f64 -1 a (*.f64 b (/.f64 d c)))
(fma.f64 a -1 (*.f64 b (/.f64 d c)))
(-.f64 (*.f64 d (/.f64 b c)) a)
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 b (/.f64 d c))) 2) (cbrt.f64 (*.f64 b (/.f64 d c))) a)
(fma.f64 b (/.f64 d c) a)
(fma.f64 d (/.f64 b c) a)
(fma.f64 (pow.f64 (cbrt.f64 a) 2) (cbrt.f64 a) (*.f64 b (/.f64 d c)))
(fma.f64 b (/.f64 d c) a)
(fma.f64 d (/.f64 b c) a)
(fma.f64 (sqrt.f64 (*.f64 b (/.f64 d c))) (sqrt.f64 (*.f64 b (/.f64 d c))) a)
(fma.f64 b (/.f64 d c) a)
(fma.f64 d (/.f64 b c) a)
(fma.f64 (sqrt.f64 a) (sqrt.f64 a) (*.f64 b (/.f64 d c)))
(fma.f64 b (/.f64 d c) a)
(fma.f64 d (/.f64 b c) a)

eval181.0ms (1.9%)

Compiler

Compiled 11375 to 5273 computations (53.6% saved)

prune118.0ms (1.2%)

Pruning

25 alts after pruning (20 fresh and 5 done)

PrunedKeptTotal
New53914553
Fresh7613
Picked325
Done033
Total54925574
Accuracy
100.0%
Counts
574 → 25
Alt Table
Click to see full alt table
StatusAccuracyProgram
19.7%
(/.f64 (/.f64 (*.f64 b d) c) c)
59.6%
(/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) (+.f64 (*.f64 c c) (*.f64 d d)))
29.8%
(/.f64 (+.f64 (*.f64 -1 b) (*.f64 -1 (/.f64 (*.f64 a c) d))) (hypot.f64 c d))
31.1%
(/.f64 (+.f64 b (/.f64 (*.f64 a c) d)) (hypot.f64 c d))
31.9%
(/.f64 (+.f64 b (*.f64 a (/.f64 c d))) (hypot.f64 c d))
38.9%
(/.f64 (*.f64 c a) (+.f64 (*.f64 c c) (*.f64 d d)))
36.5%
(/.f64 (*.f64 b d) (+.f64 (*.f64 c c) (*.f64 d d)))
30.6%
(/.f64 (*.f64 -1 (+.f64 b (*.f64 a (/.f64 c d)))) (hypot.f64 c d))
8.4%
(/.f64 (neg.f64 a) c)
11.5%
(/.f64 b (neg.f64 d))
9.2%
(/.f64 b (neg.f64 c))
39.8%
(/.f64 b d)
7.1%
(/.f64 b c)
45.0%
(/.f64 a c)
76.0%
(/.f64 1 (*.f64 (/.f64 (hypot.f64 c d) (fma.f64 b d (*.f64 a c))) (hypot.f64 c d)))
8.3%
(-.f64 (/.f64 b (neg.f64 c)) (/.f64 a d))
45.6%
(+.f64 (/.f64 b d) (*.f64 a (/.f64 c (pow.f64 d 2))))
5.7%
(+.f64 (/.f64 b c) (/.f64 a d))
53.9%
(+.f64 (/.f64 a c) (/.f64 (/.f64 (*.f64 b d) c) c))
53.9%
(+.f64 (/.f64 a c) (*.f64 b (*.f64 (/.f64 1 c) (/.f64 d c))))
33.6%
(*.f64 (/.f64 1 (hypot.f64 c d)) (-.f64 (*.f64 d (/.f64 b c)) a))
31.9%
(*.f64 (/.f64 1 (hypot.f64 c d)) (+.f64 b (*.f64 a (/.f64 c d))))
30.6%
(*.f64 (/.f64 1 (hypot.f64 c d)) (*.f64 -1 (-.f64 (*.f64 d (/.f64 b c)) a)))
17.3%
(*.f64 b (/.f64 d (pow.f64 c 2)))
19.1%
(*.f64 b (*.f64 (/.f64 1 c) (/.f64 d c)))
Compiler

Compiled 617 to 400 computations (35.2% saved)

localize118.0ms (1.2%)

Localize:

Found 9 expressions with local error:

NewAccuracyProgram
93.6%
(*.f64 a (/.f64 c d))
89.3%
(/.f64 (+.f64 b (*.f64 a (/.f64 c d))) (hypot.f64 c d))
99.1%
(/.f64 (/.f64 (*.f64 b d) c) c)
98.0%
(+.f64 (/.f64 a c) (/.f64 (/.f64 (*.f64 b d) c) c))
91.4%
(/.f64 (*.f64 b d) c)
99.6%
(+.f64 (/.f64 b c) (/.f64 a d))
99.7%
(*.f64 (/.f64 (hypot.f64 c d) (fma.f64 b d (*.f64 a c))) (hypot.f64 c d))
99.6%
(/.f64 1 (*.f64 (/.f64 (hypot.f64 c d) (fma.f64 b d (*.f64 a c))) (hypot.f64 c d)))
77.0%
(/.f64 (hypot.f64 c d) (fma.f64 b d (*.f64 a c)))
Compiler

Compiled 150 to 25 computations (83.3% saved)

series210.0ms (2.2%)

Counts
9 → 360
Calls

99 calls:

TimeVariablePointExpression
111.0ms
c
@0
(/.f64 (*.f64 b d) c)
7.0ms
b
@-inf
(/.f64 (hypot.f64 c d) (fma.f64 b d (*.f64 a c)))
4.0ms
c
@-inf
(*.f64 a (/.f64 c d))
2.0ms
c
@0
(/.f64 1 (*.f64 (/.f64 (hypot.f64 c d) (fma.f64 b d (*.f64 a c))) (hypot.f64 c d)))
2.0ms
b
@inf
(+.f64 (/.f64 b c) (/.f64 a d))

rewrite126.0ms (1.3%)

Algorithm
batch-egg-rewrite
Rules
420×associate-*r*
352×times-frac
300×associate-*l*
290×frac-times
250×log1p-expm1-u
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
031381
1539347
Stop Event
node limit
Counts
9 → 338
Calls
Call 1
Inputs
(/.f64 (hypot.f64 c d) (fma.f64 b d (*.f64 a c)))
(/.f64 1 (*.f64 (/.f64 (hypot.f64 c d) (fma.f64 b d (*.f64 a c))) (hypot.f64 c d)))
(*.f64 (/.f64 (hypot.f64 c d) (fma.f64 b d (*.f64 a c))) (hypot.f64 c d))
(+.f64 (/.f64 b c) (/.f64 a d))
(/.f64 (*.f64 b d) c)
(+.f64 (/.f64 a c) (/.f64 (/.f64 (*.f64 b d) c) c))
(/.f64 (/.f64 (*.f64 b d) c) c)
(/.f64 (+.f64 b (*.f64 a (/.f64 c d))) (hypot.f64 c d))
(*.f64 a (/.f64 c d))
Outputs
(-.f64 (exp.f64 (log1p.f64 (/.f64 (hypot.f64 c d) (fma.f64 d b (*.f64 c a))))) 1)
(*.f64 (hypot.f64 c d) (/.f64 1 (fma.f64 d b (*.f64 c a))))
(*.f64 1 (/.f64 (hypot.f64 c d) (fma.f64 d b (*.f64 c a))))
(*.f64 (pow.f64 (cbrt.f64 (hypot.f64 c d)) 2) (*.f64 (cbrt.f64 (hypot.f64 c d)) (/.f64 1 (fma.f64 d b (*.f64 c a)))))
(*.f64 (cbrt.f64 (/.f64 (hypot.f64 c d) (fma.f64 d b (*.f64 c a)))) (pow.f64 (cbrt.f64 (/.f64 (hypot.f64 c d) (fma.f64 d b (*.f64 c a)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (hypot.f64 c d) (fma.f64 d b (*.f64 c a)))) 2) (cbrt.f64 (/.f64 (hypot.f64 c d) (fma.f64 d b (*.f64 c a)))))
(*.f64 (sqrt.f64 (hypot.f64 c d)) (*.f64 (sqrt.f64 (hypot.f64 c d)) (/.f64 1 (fma.f64 d b (*.f64 c a)))))
(*.f64 (sqrt.f64 (/.f64 (hypot.f64 c d) (fma.f64 d b (*.f64 c a)))) (sqrt.f64 (/.f64 (hypot.f64 c d) (fma.f64 d b (*.f64 c a)))))
(*.f64 (neg.f64 (hypot.f64 c d)) (/.f64 1 (neg.f64 (fma.f64 d b (*.f64 c a)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (hypot.f64 c d)) 2) 1) (/.f64 (cbrt.f64 (hypot.f64 c d)) (fma.f64 d b (*.f64 c a))))
(*.f64 (/.f64 (sqrt.f64 (hypot.f64 c d)) 1) (/.f64 (sqrt.f64 (hypot.f64 c d)) (fma.f64 d b (*.f64 c a))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (fma.f64 d b (*.f64 c a))) 2)) (/.f64 (hypot.f64 c d) (cbrt.f64 (fma.f64 d b (*.f64 c a)))))
(*.f64 (/.f64 1 (sqrt.f64 (fma.f64 d b (*.f64 c a)))) (/.f64 (hypot.f64 c d) (sqrt.f64 (fma.f64 d b (*.f64 c a)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (hypot.f64 c d)) 2) (pow.f64 (cbrt.f64 (fma.f64 d b (*.f64 c a))) 2)) (cbrt.f64 (/.f64 (hypot.f64 c d) (fma.f64 d b (*.f64 c a)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (hypot.f64 c d)) 2) (sqrt.f64 (fma.f64 d b (*.f64 c a)))) (/.f64 (cbrt.f64 (hypot.f64 c d)) (sqrt.f64 (fma.f64 d b (*.f64 c a)))))
(*.f64 (/.f64 (sqrt.f64 (hypot.f64 c d)) (pow.f64 (cbrt.f64 (fma.f64 d b (*.f64 c a))) 2)) (/.f64 (sqrt.f64 (hypot.f64 c d)) (cbrt.f64 (fma.f64 d b (*.f64 c a)))))
(pow.f64 (/.f64 (hypot.f64 c d) (fma.f64 d b (*.f64 c a))) 1)
(pow.f64 (cbrt.f64 (/.f64 (hypot.f64 c d) (fma.f64 d b (*.f64 c a)))) 3)
(pow.f64 (pow.f64 (/.f64 (hypot.f64 c d) (fma.f64 d b (*.f64 c a))) 3) 1/3)
(pow.f64 (sqrt.f64 (/.f64 (hypot.f64 c d) (fma.f64 d b (*.f64 c a)))) 2)
(pow.f64 (/.f64 (fma.f64 d b (*.f64 c a)) (hypot.f64 c d)) -1)
(neg.f64 (/.f64 (hypot.f64 c d) (neg.f64 (fma.f64 d b (*.f64 c a)))))
(neg.f64 (/.f64 (neg.f64 (hypot.f64 c d)) (fma.f64 d b (*.f64 c a))))
(sqrt.f64 (pow.f64 (/.f64 (hypot.f64 c d) (fma.f64 d b (*.f64 c a))) 2))
(log.f64 (exp.f64 (/.f64 (hypot.f64 c d) (fma.f64 d b (*.f64 c a)))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (hypot.f64 c d) (fma.f64 d b (*.f64 c a))))))
(cbrt.f64 (pow.f64 (/.f64 (hypot.f64 c d) (fma.f64 d b (*.f64 c a))) 3))
(cbrt.f64 (/.f64 (pow.f64 (hypot.f64 c d) 3) (pow.f64 (fma.f64 d b (*.f64 c a)) 3)))
(expm1.f64 (log1p.f64 (/.f64 (hypot.f64 c d) (fma.f64 d b (*.f64 c a)))))
(log1p.f64 (expm1.f64 (/.f64 (hypot.f64 c d) (fma.f64 d b (*.f64 c a)))))
(exp.f64 (log.f64 (/.f64 (hypot.f64 c d) (fma.f64 d b (*.f64 c a)))))
(exp.f64 (*.f64 (log.f64 (/.f64 (hypot.f64 c d) (fma.f64 d b (*.f64 c a)))) 1))
(-.f64 (exp.f64 (log1p.f64 (/.f64 1 (/.f64 (pow.f64 (hypot.f64 c d) 2) (fma.f64 d b (*.f64 c a)))))) 1)
(*.f64 1 (/.f64 1 (/.f64 (pow.f64 (hypot.f64 c d) 2) (fma.f64 d b (*.f64 c a)))))
(*.f64 -1 (/.f64 1 (/.f64 (pow.f64 (hypot.f64 c d) 2) (neg.f64 (fma.f64 d b (*.f64 c a))))))
(*.f64 (/.f64 1 (cbrt.f64 (/.f64 (pow.f64 (hypot.f64 c d) 2) (fma.f64 d b (*.f64 c a))))) (cbrt.f64 (pow.f64 (/.f64 (pow.f64 (hypot.f64 c d) 2) (fma.f64 d b (*.f64 c a))) -2)))
(*.f64 (cbrt.f64 (pow.f64 (/.f64 (pow.f64 (hypot.f64 c d) 2) (fma.f64 d b (*.f64 c a))) -2)) (/.f64 1 (cbrt.f64 (/.f64 (pow.f64 (hypot.f64 c d) 2) (fma.f64 d b (*.f64 c a))))))
(*.f64 (/.f64 1 (/.f64 (hypot.f64 c d) (sqrt.f64 (fma.f64 d b (*.f64 c a))))) (/.f64 1 (/.f64 (hypot.f64 c d) (sqrt.f64 (fma.f64 d b (*.f64 c a))))))
(*.f64 (/.f64 1 (hypot.f64 c d)) (/.f64 (fma.f64 d b (*.f64 c a)) (hypot.f64 c d)))
(*.f64 (/.f64 (fma.f64 d b (*.f64 c a)) (hypot.f64 c d)) (/.f64 1 (hypot.f64 c d)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (/.f64 (pow.f64 (hypot.f64 c d) 2) (fma.f64 d b (*.f64 c a)))) 2) -1) (pow.f64 (cbrt.f64 (/.f64 (pow.f64 (hypot.f64 c d) 2) (fma.f64 d b (*.f64 c a)))) -1))
(*.f64 (pow.f64 (/.f64 (hypot.f64 c d) (sqrt.f64 (fma.f64 d b (*.f64 c a)))) -1) (pow.f64 (/.f64 (hypot.f64 c d) (sqrt.f64 (fma.f64 d b (*.f64 c a)))) -1))
(pow.f64 (/.f64 (pow.f64 (hypot.f64 c d) 2) (fma.f64 d b (*.f64 c a))) -1)
(pow.f64 (/.f64 1 (/.f64 (pow.f64 (hypot.f64 c d) 2) (fma.f64 d b (*.f64 c a)))) 1)
(pow.f64 (/.f64 1 (cbrt.f64 (/.f64 (pow.f64 (hypot.f64 c d) 2) (fma.f64 d b (*.f64 c a))))) 3)
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(/.f64 (+.f64 (neg.f64 c) (*.f64 (/.f64 c (*.f64 d (/.f64 b c))) (neg.f64 a))) (*.f64 (/.f64 c (*.f64 d (/.f64 b c))) (neg.f64 c)))
(/.f64 (+.f64 (*.f64 (*.f64 d b) c) (*.f64 (pow.f64 c 2) a)) (pow.f64 c 3))
(/.f64 (+.f64 (*.f64 (*.f64 d b) (/.f64 c a)) (*.f64 (pow.f64 c 2) 1)) (*.f64 (pow.f64 c 2) (/.f64 c a)))
(/.f64 (+.f64 (*.f64 (*.f64 d b) (neg.f64 c)) (*.f64 (pow.f64 c 2) (neg.f64 a))) (*.f64 (pow.f64 c 2) (neg.f64 c)))
(/.f64 (+.f64 (*.f64 (*.f64 d (/.f64 b c)) c) (*.f64 c a)) (pow.f64 c 2))
(/.f64 (+.f64 (*.f64 (*.f64 d (/.f64 b c)) (/.f64 c a)) (*.f64 c 1)) (*.f64 c (/.f64 c a)))
(/.f64 (+.f64 (*.f64 (*.f64 d (/.f64 b c)) (neg.f64 c)) (*.f64 c (neg.f64 a))) (*.f64 c (neg.f64 c)))
(/.f64 (+.f64 (*.f64 (*.f64 (neg.f64 b) (/.f64 d c)) c) (*.f64 (neg.f64 c) a)) (*.f64 (neg.f64 c) c))
(/.f64 (+.f64 (*.f64 (*.f64 (neg.f64 b) (/.f64 d c)) (/.f64 c a)) (*.f64 (neg.f64 c) 1)) (*.f64 (neg.f64 c) (/.f64 c a)))
(/.f64 (+.f64 (*.f64 (*.f64 (neg.f64 b) (/.f64 d c)) (neg.f64 c)) (*.f64 (neg.f64 c) (neg.f64 a))) (*.f64 (neg.f64 c) (neg.f64 c)))
(/.f64 (neg.f64 (*.f64 c (+.f64 a (*.f64 d (/.f64 b c))))) (neg.f64 (pow.f64 c 2)))
(/.f64 (neg.f64 (+.f64 (pow.f64 (/.f64 a c) 3) (pow.f64 (/.f64 (*.f64 d b) (pow.f64 c 2)) 3))) (neg.f64 (+.f64 (pow.f64 (/.f64 a c) 2) (-.f64 (pow.f64 (/.f64 (*.f64 d b) (pow.f64 c 2)) 2) (/.f64 (*.f64 a (*.f64 d b)) (pow.f64 c 3))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 a c) 2) (pow.f64 (/.f64 (*.f64 d b) (pow.f64 c 2)) 2))) (neg.f64 (/.f64 (-.f64 a (*.f64 d (/.f64 b c))) c)))
(/.f64 (+.f64 (pow.f64 (/.f64 (*.f64 d b) (pow.f64 c 2)) 3) (pow.f64 (/.f64 a c) 3)) (+.f64 (pow.f64 (/.f64 (*.f64 d b) (pow.f64 c 2)) 2) (-.f64 (pow.f64 (/.f64 a c) 2) (*.f64 (/.f64 (*.f64 d b) (pow.f64 c 2)) (/.f64 a c)))))
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 d b) (pow.f64 c 2)) 2) (pow.f64 (/.f64 a c) 2)) (-.f64 (/.f64 (*.f64 d b) (pow.f64 c 2)) (/.f64 a c)))
(pow.f64 (+.f64 (/.f64 a c) (/.f64 (*.f64 d b) (pow.f64 c 2))) 1)
(pow.f64 (cbrt.f64 (+.f64 (/.f64 a c) (/.f64 (*.f64 d b) (pow.f64 c 2)))) 3)
(pow.f64 (pow.f64 (+.f64 (/.f64 a c) (/.f64 (*.f64 d b) (pow.f64 c 2))) 3) 1/3)
(pow.f64 (hypot.f64 (sqrt.f64 (/.f64 a c)) (/.f64 (sqrt.f64 (*.f64 d b)) c)) 2)
(sqrt.f64 (pow.f64 (+.f64 (/.f64 a c) (/.f64 (*.f64 d b) (pow.f64 c 2))) 2))
(log.f64 (exp.f64 (+.f64 (/.f64 a c) (/.f64 (*.f64 d b) (pow.f64 c 2)))))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 (/.f64 a c) (/.f64 (*.f64 d b) (pow.f64 c 2))))))
(cbrt.f64 (pow.f64 (+.f64 (/.f64 a c) (/.f64 (*.f64 d b) (pow.f64 c 2))) 3))
(expm1.f64 (log1p.f64 (+.f64 (/.f64 a c) (/.f64 (*.f64 d b) (pow.f64 c 2)))))
(log1p.f64 (expm1.f64 (+.f64 (/.f64 a c) (/.f64 (*.f64 d b) (pow.f64 c 2)))))
(exp.f64 (log.f64 (+.f64 (/.f64 a c) (/.f64 (*.f64 d b) (pow.f64 c 2)))))
(exp.f64 (*.f64 (log.f64 (+.f64 (/.f64 a c) (/.f64 (*.f64 d b) (pow.f64 c 2)))) 1))
(fma.f64 a (/.f64 1 c) (/.f64 (*.f64 d b) (pow.f64 c 2)))
(fma.f64 1 (/.f64 a c) (/.f64 (*.f64 d b) (pow.f64 c 2)))
(fma.f64 1 (/.f64 (*.f64 d b) (pow.f64 c 2)) (/.f64 a c))
(fma.f64 (*.f64 d (/.f64 b c)) (/.f64 1 c) (/.f64 a c))
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 a c)) 2) (cbrt.f64 (/.f64 a c)) (/.f64 (*.f64 d b) (pow.f64 c 2)))
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 (*.f64 d b) (pow.f64 c 2))) 2) (cbrt.f64 (/.f64 (*.f64 d b) (pow.f64 c 2))) (/.f64 a c))
(fma.f64 (sqrt.f64 (/.f64 a c)) (sqrt.f64 (/.f64 a c)) (/.f64 (*.f64 d b) (pow.f64 c 2)))
(fma.f64 (/.f64 (sqrt.f64 (*.f64 d b)) c) (/.f64 (sqrt.f64 (*.f64 d b)) c) (/.f64 a c))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (*.f64 d b) (pow.f64 c 2)))) 1)
(*.f64 b (*.f64 (/.f64 d c) (/.f64 1 c)))
(*.f64 1 (/.f64 (*.f64 d b) (pow.f64 c 2)))
(*.f64 (/.f64 b c) (/.f64 d c))
(*.f64 (*.f64 d b) (*.f64 (/.f64 1 c) (/.f64 1 c)))
(*.f64 (*.f64 d b) (/.f64 1 (pow.f64 c 2)))
(*.f64 (*.f64 d (/.f64 b c)) (/.f64 1 c))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 d (/.f64 b c))) 2) (*.f64 (cbrt.f64 (*.f64 d (/.f64 b c))) (/.f64 1 c)))
(*.f64 (cbrt.f64 (/.f64 (*.f64 d b) (pow.f64 c 2))) (pow.f64 (cbrt.f64 (/.f64 (*.f64 d b) (pow.f64 c 2))) 2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (*.f64 d b) (pow.f64 c 2))) 2) (cbrt.f64 (/.f64 (*.f64 d b) (pow.f64 c 2))))
(*.f64 (sqrt.f64 (*.f64 d (/.f64 b c))) (*.f64 (sqrt.f64 (*.f64 d (/.f64 b c))) (/.f64 1 c)))
(*.f64 (/.f64 (sqrt.f64 (*.f64 d b)) c) (/.f64 (sqrt.f64 (*.f64 d b)) c))
(*.f64 (*.f64 (neg.f64 b) (/.f64 d c)) (/.f64 1 (neg.f64 c)))
(*.f64 (/.f64 d c) (/.f64 b c))
(*.f64 (/.f64 1 c) (*.f64 d (/.f64 b c)))
(*.f64 (/.f64 b (sqrt.f64 c)) (/.f64 (/.f64 d c) (sqrt.f64 c)))
(*.f64 (/.f64 b 1) (/.f64 (/.f64 d c) c))
(*.f64 (/.f64 b (pow.f64 (cbrt.f64 c) 2)) (/.f64 (/.f64 d c) (cbrt.f64 c)))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 c) 2)) (/.f64 (*.f64 d (/.f64 b c)) (cbrt.f64 c)))
(*.f64 (/.f64 1 (sqrt.f64 c)) (/.f64 (*.f64 d (/.f64 b c)) (sqrt.f64 c)))
(*.f64 (/.f64 (*.f64 d b) (sqrt.f64 c)) (/.f64 (/.f64 1 c) (sqrt.f64 c)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 d b)) 2) c) (/.f64 (cbrt.f64 (*.f64 d b)) c))
(*.f64 (/.f64 (*.f64 d b) 1) (/.f64 (/.f64 1 c) c))
(*.f64 (/.f64 (*.f64 d b) (pow.f64 (cbrt.f64 c) 2)) (/.f64 (/.f64 1 c) (cbrt.f64 c)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 d (/.f64 b c))) 2) 1) (/.f64 (cbrt.f64 (*.f64 d (/.f64 b c))) c))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 d (/.f64 b c))) 2) (pow.f64 (cbrt.f64 c) 2)) (cbrt.f64 (/.f64 (*.f64 d b) (pow.f64 c 2))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 d (/.f64 b c))) 2) (sqrt.f64 c)) (/.f64 (cbrt.f64 (*.f64 d (/.f64 b c))) (sqrt.f64 c)))
(*.f64 (/.f64 (sqrt.f64 (*.f64 d (/.f64 b c))) 1) (/.f64 (sqrt.f64 (*.f64 d (/.f64 b c))) c))
(*.f64 (/.f64 (sqrt.f64 (*.f64 d (/.f64 b c))) (pow.f64 (cbrt.f64 c) 2)) (/.f64 (sqrt.f64 (*.f64 d (/.f64 b c))) (cbrt.f64 c)))
(pow.f64 (/.f64 (*.f64 d b) (pow.f64 c 2)) 1)
(pow.f64 (cbrt.f64 (/.f64 (*.f64 d b) (pow.f64 c 2))) 3)
(pow.f64 (pow.f64 (/.f64 (*.f64 d b) (pow.f64 c 2)) 3) 1/3)
(pow.f64 (/.f64 (sqrt.f64 (*.f64 d b)) c) 2)
(pow.f64 (/.f64 c (*.f64 d (/.f64 b c))) -1)
(neg.f64 (/.f64 (*.f64 d (/.f64 b c)) (neg.f64 c)))
(neg.f64 (/.f64 (*.f64 (neg.f64 b) (/.f64 d c)) c))
(sqrt.f64 (pow.f64 (/.f64 (*.f64 d b) (pow.f64 c 2)) 2))
(log.f64 (exp.f64 (/.f64 (*.f64 d b) (pow.f64 c 2))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (*.f64 d b) (pow.f64 c 2)))))
(cbrt.f64 (pow.f64 (/.f64 (*.f64 d b) (pow.f64 c 2)) 3))
(expm1.f64 (log1p.f64 (/.f64 (*.f64 d b) (pow.f64 c 2))))
(log1p.f64 (expm1.f64 (/.f64 (*.f64 d b) (pow.f64 c 2))))
(exp.f64 (log.f64 (/.f64 (*.f64 d b) (pow.f64 c 2))))
(exp.f64 (*.f64 (log.f64 (/.f64 (*.f64 d b) (pow.f64 c 2))) 1))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (fma.f64 a (/.f64 c d) b) (hypot.f64 c d)))) 1)
(*.f64 1 (/.f64 (fma.f64 a (/.f64 c d) b) (hypot.f64 c d)))
(*.f64 (fma.f64 a (/.f64 c d) b) (/.f64 1 (hypot.f64 c d)))
(*.f64 (cbrt.f64 (/.f64 (fma.f64 a (/.f64 c d) b) (hypot.f64 c d))) (pow.f64 (cbrt.f64 (/.f64 (fma.f64 a (/.f64 c d) b) (hypot.f64 c d))) 2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (fma.f64 a (/.f64 c d) b) (hypot.f64 c d))) 2) (cbrt.f64 (/.f64 (fma.f64 a (/.f64 c d) b) (hypot.f64 c d))))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 a (/.f64 c d) b)) 2) (*.f64 (cbrt.f64 (fma.f64 a (/.f64 c d) b)) (/.f64 1 (hypot.f64 c d))))
(*.f64 (sqrt.f64 (/.f64 (fma.f64 a (/.f64 c d) b) (hypot.f64 c d))) (sqrt.f64 (/.f64 (fma.f64 a (/.f64 c d) b) (hypot.f64 c d))))
(*.f64 (sqrt.f64 (fma.f64 a (/.f64 c d) b)) (*.f64 (sqrt.f64 (fma.f64 a (/.f64 c d) b)) (/.f64 1 (hypot.f64 c d))))
(*.f64 (neg.f64 (fma.f64 a (/.f64 c d) b)) (/.f64 1 (neg.f64 (hypot.f64 c d))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (hypot.f64 c d)) 2)) (/.f64 (fma.f64 a (/.f64 c d) b) (cbrt.f64 (hypot.f64 c d))))
(*.f64 (/.f64 1 (sqrt.f64 (hypot.f64 c d))) (/.f64 (fma.f64 a (/.f64 c d) b) (sqrt.f64 (hypot.f64 c d))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 a (/.f64 c d) b)) 2) 1) (/.f64 (cbrt.f64 (fma.f64 a (/.f64 c d) b)) (hypot.f64 c d)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 a (/.f64 c d) b)) 2) (pow.f64 (cbrt.f64 (hypot.f64 c d)) 2)) (cbrt.f64 (/.f64 (fma.f64 a (/.f64 c d) b) (hypot.f64 c d))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 a (/.f64 c d) b)) 2) (sqrt.f64 (hypot.f64 c d))) (/.f64 (cbrt.f64 (fma.f64 a (/.f64 c d) b)) (sqrt.f64 (hypot.f64 c d))))
(*.f64 (/.f64 (sqrt.f64 (fma.f64 a (/.f64 c d) b)) 1) (/.f64 (sqrt.f64 (fma.f64 a (/.f64 c d) b)) (hypot.f64 c d)))
(*.f64 (/.f64 (sqrt.f64 (fma.f64 a (/.f64 c d) b)) (pow.f64 (cbrt.f64 (hypot.f64 c d)) 2)) (/.f64 (sqrt.f64 (fma.f64 a (/.f64 c d) b)) (cbrt.f64 (hypot.f64 c d))))
(pow.f64 (/.f64 (fma.f64 a (/.f64 c d) b) (hypot.f64 c d)) 1)
(pow.f64 (cbrt.f64 (/.f64 (fma.f64 a (/.f64 c d) b) (hypot.f64 c d))) 3)
(pow.f64 (pow.f64 (/.f64 (fma.f64 a (/.f64 c d) b) (hypot.f64 c d)) 3) 1/3)
(pow.f64 (sqrt.f64 (/.f64 (fma.f64 a (/.f64 c d) b) (hypot.f64 c d))) 2)
(pow.f64 (/.f64 (hypot.f64 c d) (fma.f64 a (/.f64 c d) b)) -1)
(neg.f64 (/.f64 (fma.f64 a (/.f64 c d) b) (neg.f64 (hypot.f64 c d))))
(neg.f64 (/.f64 (neg.f64 (fma.f64 a (/.f64 c d) b)) (hypot.f64 c d)))
(sqrt.f64 (pow.f64 (/.f64 (fma.f64 a (/.f64 c d) b) (hypot.f64 c d)) 2))
(log.f64 (exp.f64 (/.f64 (fma.f64 a (/.f64 c d) b) (hypot.f64 c d))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (fma.f64 a (/.f64 c d) b) (hypot.f64 c d)))))
(cbrt.f64 (pow.f64 (/.f64 (fma.f64 a (/.f64 c d) b) (hypot.f64 c d)) 3))
(cbrt.f64 (/.f64 (pow.f64 (fma.f64 a (/.f64 c d) b) 3) (pow.f64 (hypot.f64 c d) 3)))
(expm1.f64 (log1p.f64 (/.f64 (fma.f64 a (/.f64 c d) b) (hypot.f64 c d))))
(log1p.f64 (expm1.f64 (/.f64 (fma.f64 a (/.f64 c d) b) (hypot.f64 c d))))
(exp.f64 (log.f64 (/.f64 (fma.f64 a (/.f64 c d) b) (hypot.f64 c d))))
(exp.f64 (*.f64 (log.f64 (/.f64 (fma.f64 a (/.f64 c d) b) (hypot.f64 c d))) 1))
(-.f64 (exp.f64 (log1p.f64 (*.f64 a (/.f64 c d)))) 1)
(/.f64 a (/.f64 d c))
(/.f64 (*.f64 c a) d)
(/.f64 1 (/.f64 d (*.f64 c a)))
(/.f64 (neg.f64 (*.f64 c a)) (neg.f64 d))
(pow.f64 (*.f64 a (/.f64 c d)) 1)
(pow.f64 (cbrt.f64 (*.f64 a (/.f64 c d))) 3)
(pow.f64 (pow.f64 (*.f64 a (/.f64 c d)) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 a (/.f64 c d))) 2)
(sqrt.f64 (pow.f64 (*.f64 a (/.f64 c d)) 2))
(log.f64 (pow.f64 (exp.f64 a) (/.f64 c d)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 a (/.f64 c d)))))
(cbrt.f64 (pow.f64 (*.f64 a (/.f64 c d)) 3))
(expm1.f64 (log1p.f64 (*.f64 a (/.f64 c d))))
(log1p.f64 (expm1.f64 (*.f64 a (/.f64 c d))))
(exp.f64 (log.f64 (*.f64 a (/.f64 c d))))
(exp.f64 (*.f64 (log.f64 (*.f64 a (/.f64 c d))) 1))

simplify307.0ms (3.2%)

Algorithm
egg-herbie
Rules
1436×fma-define
554×*-commutative
534×associate-+r+
376×sqr-pow
346×distribute-rgt-neg-in
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0118342219
1366839991
Stop Event
node limit
Counts
698 → 692
Calls
Call 1
Inputs
(/.f64 1 b)
(+.f64 (*.f64 -1 (/.f64 (*.f64 a c) (*.f64 (pow.f64 b 2) d))) (/.f64 1 b))
(+.f64 (*.f64 -1 (/.f64 (*.f64 a c) (*.f64 (pow.f64 b 2) d))) (+.f64 (*.f64 (pow.f64 c 2) (+.f64 (*.f64 1/2 (/.f64 1 (*.f64 b (pow.f64 d 2)))) (/.f64 (pow.f64 a 2) (*.f64 (pow.f64 b 3) (pow.f64 d 2))))) (/.f64 1 b)))
(+.f64 (*.f64 -1 (/.f64 (*.f64 a c) (*.f64 (pow.f64 b 2) d))) (+.f64 (*.f64 (pow.f64 c 2) (+.f64 (*.f64 1/2 (/.f64 1 (*.f64 b (pow.f64 d 2)))) (/.f64 (pow.f64 a 2) (*.f64 (pow.f64 b 3) (pow.f64 d 2))))) (+.f64 (*.f64 (pow.f64 c 3) (+.f64 (*.f64 -1 (/.f64 (pow.f64 a 3) (*.f64 (pow.f64 b 4) (pow.f64 d 3)))) (*.f64 -1/2 (/.f64 a (*.f64 (pow.f64 b 2) (pow.f64 d 3)))))) (/.f64 1 b))))
(/.f64 1 a)
(+.f64 (*.f64 -1 (/.f64 (*.f64 b d) (*.f64 (pow.f64 a 2) c))) (/.f64 1 a))
(+.f64 (*.f64 -1 (/.f64 (*.f64 b d) (*.f64 (pow.f64 a 2) c))) (+.f64 (*.f64 1/2 (/.f64 (pow.f64 d 2) (*.f64 a (pow.f64 c 2)))) (+.f64 (/.f64 1 a) (/.f64 (*.f64 (pow.f64 b 2) (pow.f64 d 2)) (*.f64 (pow.f64 a 3) (pow.f64 c 2))))))
(+.f64 (*.f64 -1 (/.f64 (*.f64 b d) (*.f64 (pow.f64 a 2) c))) (+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 b 3) (pow.f64 d 3)) (*.f64 (pow.f64 a 4) (pow.f64 c 3)))) (+.f64 (*.f64 -1/2 (/.f64 (*.f64 b (pow.f64 d 3)) (*.f64 (pow.f64 a 2) (pow.f64 c 3)))) (+.f64 (*.f64 1/2 (/.f64 (pow.f64 d 2) (*.f64 a (pow.f64 c 2)))) (+.f64 (/.f64 1 a) (/.f64 (*.f64 (pow.f64 b 2) (pow.f64 d 2)) (*.f64 (pow.f64 a 3) (pow.f64 c 2))))))))
(/.f64 -1 a)
(-.f64 (/.f64 (*.f64 b d) (*.f64 (pow.f64 a 2) c)) (/.f64 1 a))
(-.f64 (+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 b 2) (pow.f64 d 2)) (*.f64 (pow.f64 a 3) (pow.f64 c 2)))) (+.f64 (*.f64 -1/2 (/.f64 (pow.f64 d 2) (*.f64 a (pow.f64 c 2)))) (/.f64 (*.f64 b d) (*.f64 (pow.f64 a 2) c)))) (/.f64 1 a))
(-.f64 (+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 b 2) (pow.f64 d 2)) (*.f64 (pow.f64 a 3) (pow.f64 c 2)))) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 b 3) (pow.f64 d 3)) (pow.f64 a 4))) (*.f64 -1/2 (/.f64 (*.f64 b (pow.f64 d 3)) (pow.f64 a 2)))) (pow.f64 c 3))) (+.f64 (*.f64 -1/2 (/.f64 (pow.f64 d 2) (*.f64 a (pow.f64 c 2)))) (/.f64 (*.f64 b d) (*.f64 (pow.f64 a 2) c))))) (/.f64 1 a))
(/.f64 1 a)
(+.f64 (*.f64 -1 (/.f64 (*.f64 b d) (*.f64 (pow.f64 a 2) c))) (/.f64 1 a))
(+.f64 (*.f64 -1 (/.f64 (*.f64 b d) (*.f64 (pow.f64 a 2) c))) (+.f64 (*.f64 (pow.f64 d 2) (+.f64 (*.f64 1/2 (/.f64 1 (*.f64 a (pow.f64 c 2)))) (/.f64 (pow.f64 b 2) (*.f64 (pow.f64 a 3) (pow.f64 c 2))))) (/.f64 1 a)))
(+.f64 (*.f64 -1 (/.f64 (*.f64 b d) (*.f64 (pow.f64 a 2) c))) (+.f64 (*.f64 (pow.f64 d 2) (+.f64 (*.f64 1/2 (/.f64 1 (*.f64 a (pow.f64 c 2)))) (/.f64 (pow.f64 b 2) (*.f64 (pow.f64 a 3) (pow.f64 c 2))))) (+.f64 (*.f64 (pow.f64 d 3) (+.f64 (*.f64 -1 (/.f64 (pow.f64 b 3) (*.f64 (pow.f64 a 4) (pow.f64 c 3)))) (*.f64 -1/2 (/.f64 b (*.f64 (pow.f64 a 2) (pow.f64 c 3)))))) (/.f64 1 a))))
(/.f64 1 b)
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(*.f64 (*.f64 d b) (/.f64 1 (pow.f64 c 2)))
(*.f64 (*.f64 d (/.f64 b c)) (/.f64 1 c))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 d (/.f64 b c))) 2) (*.f64 (cbrt.f64 (*.f64 d (/.f64 b c))) (/.f64 1 c)))
(*.f64 (cbrt.f64 (/.f64 (*.f64 d b) (pow.f64 c 2))) (pow.f64 (cbrt.f64 (/.f64 (*.f64 d b) (pow.f64 c 2))) 2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (*.f64 d b) (pow.f64 c 2))) 2) (cbrt.f64 (/.f64 (*.f64 d b) (pow.f64 c 2))))
(*.f64 (sqrt.f64 (*.f64 d (/.f64 b c))) (*.f64 (sqrt.f64 (*.f64 d (/.f64 b c))) (/.f64 1 c)))
(*.f64 (/.f64 (sqrt.f64 (*.f64 d b)) c) (/.f64 (sqrt.f64 (*.f64 d b)) c))
(*.f64 (*.f64 (neg.f64 b) (/.f64 d c)) (/.f64 1 (neg.f64 c)))
(*.f64 (/.f64 d c) (/.f64 b c))
(*.f64 (/.f64 1 c) (*.f64 d (/.f64 b c)))
(*.f64 (/.f64 b (sqrt.f64 c)) (/.f64 (/.f64 d c) (sqrt.f64 c)))
(*.f64 (/.f64 b 1) (/.f64 (/.f64 d c) c))
(*.f64 (/.f64 b (pow.f64 (cbrt.f64 c) 2)) (/.f64 (/.f64 d c) (cbrt.f64 c)))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 c) 2)) (/.f64 (*.f64 d (/.f64 b c)) (cbrt.f64 c)))
(*.f64 (/.f64 1 (sqrt.f64 c)) (/.f64 (*.f64 d (/.f64 b c)) (sqrt.f64 c)))
(*.f64 (/.f64 (*.f64 d b) (sqrt.f64 c)) (/.f64 (/.f64 1 c) (sqrt.f64 c)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 d b)) 2) c) (/.f64 (cbrt.f64 (*.f64 d b)) c))
(*.f64 (/.f64 (*.f64 d b) 1) (/.f64 (/.f64 1 c) c))
(*.f64 (/.f64 (*.f64 d b) (pow.f64 (cbrt.f64 c) 2)) (/.f64 (/.f64 1 c) (cbrt.f64 c)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 d (/.f64 b c))) 2) 1) (/.f64 (cbrt.f64 (*.f64 d (/.f64 b c))) c))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 d (/.f64 b c))) 2) (pow.f64 (cbrt.f64 c) 2)) (cbrt.f64 (/.f64 (*.f64 d b) (pow.f64 c 2))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 d (/.f64 b c))) 2) (sqrt.f64 c)) (/.f64 (cbrt.f64 (*.f64 d (/.f64 b c))) (sqrt.f64 c)))
(*.f64 (/.f64 (sqrt.f64 (*.f64 d (/.f64 b c))) 1) (/.f64 (sqrt.f64 (*.f64 d (/.f64 b c))) c))
(*.f64 (/.f64 (sqrt.f64 (*.f64 d (/.f64 b c))) (pow.f64 (cbrt.f64 c) 2)) (/.f64 (sqrt.f64 (*.f64 d (/.f64 b c))) (cbrt.f64 c)))
(pow.f64 (/.f64 (*.f64 d b) (pow.f64 c 2)) 1)
(pow.f64 (cbrt.f64 (/.f64 (*.f64 d b) (pow.f64 c 2))) 3)
(pow.f64 (pow.f64 (/.f64 (*.f64 d b) (pow.f64 c 2)) 3) 1/3)
(pow.f64 (/.f64 (sqrt.f64 (*.f64 d b)) c) 2)
(pow.f64 (/.f64 c (*.f64 d (/.f64 b c))) -1)
(neg.f64 (/.f64 (*.f64 d (/.f64 b c)) (neg.f64 c)))
(neg.f64 (/.f64 (*.f64 (neg.f64 b) (/.f64 d c)) c))
(sqrt.f64 (pow.f64 (/.f64 (*.f64 d b) (pow.f64 c 2)) 2))
(log.f64 (exp.f64 (/.f64 (*.f64 d b) (pow.f64 c 2))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (*.f64 d b) (pow.f64 c 2)))))
(cbrt.f64 (pow.f64 (/.f64 (*.f64 d b) (pow.f64 c 2)) 3))
(expm1.f64 (log1p.f64 (/.f64 (*.f64 d b) (pow.f64 c 2))))
(log1p.f64 (expm1.f64 (/.f64 (*.f64 d b) (pow.f64 c 2))))
(exp.f64 (log.f64 (/.f64 (*.f64 d b) (pow.f64 c 2))))
(exp.f64 (*.f64 (log.f64 (/.f64 (*.f64 d b) (pow.f64 c 2))) 1))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (fma.f64 a (/.f64 c d) b) (hypot.f64 c d)))) 1)
(*.f64 1 (/.f64 (fma.f64 a (/.f64 c d) b) (hypot.f64 c d)))
(*.f64 (fma.f64 a (/.f64 c d) b) (/.f64 1 (hypot.f64 c d)))
(*.f64 (cbrt.f64 (/.f64 (fma.f64 a (/.f64 c d) b) (hypot.f64 c d))) (pow.f64 (cbrt.f64 (/.f64 (fma.f64 a (/.f64 c d) b) (hypot.f64 c d))) 2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (fma.f64 a (/.f64 c d) b) (hypot.f64 c d))) 2) (cbrt.f64 (/.f64 (fma.f64 a (/.f64 c d) b) (hypot.f64 c d))))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 a (/.f64 c d) b)) 2) (*.f64 (cbrt.f64 (fma.f64 a (/.f64 c d) b)) (/.f64 1 (hypot.f64 c d))))
(*.f64 (sqrt.f64 (/.f64 (fma.f64 a (/.f64 c d) b) (hypot.f64 c d))) (sqrt.f64 (/.f64 (fma.f64 a (/.f64 c d) b) (hypot.f64 c d))))
(*.f64 (sqrt.f64 (fma.f64 a (/.f64 c d) b)) (*.f64 (sqrt.f64 (fma.f64 a (/.f64 c d) b)) (/.f64 1 (hypot.f64 c d))))
(*.f64 (neg.f64 (fma.f64 a (/.f64 c d) b)) (/.f64 1 (neg.f64 (hypot.f64 c d))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (hypot.f64 c d)) 2)) (/.f64 (fma.f64 a (/.f64 c d) b) (cbrt.f64 (hypot.f64 c d))))
(*.f64 (/.f64 1 (sqrt.f64 (hypot.f64 c d))) (/.f64 (fma.f64 a (/.f64 c d) b) (sqrt.f64 (hypot.f64 c d))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 a (/.f64 c d) b)) 2) 1) (/.f64 (cbrt.f64 (fma.f64 a (/.f64 c d) b)) (hypot.f64 c d)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 a (/.f64 c d) b)) 2) (pow.f64 (cbrt.f64 (hypot.f64 c d)) 2)) (cbrt.f64 (/.f64 (fma.f64 a (/.f64 c d) b) (hypot.f64 c d))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 a (/.f64 c d) b)) 2) (sqrt.f64 (hypot.f64 c d))) (/.f64 (cbrt.f64 (fma.f64 a (/.f64 c d) b)) (sqrt.f64 (hypot.f64 c d))))
(*.f64 (/.f64 (sqrt.f64 (fma.f64 a (/.f64 c d) b)) 1) (/.f64 (sqrt.f64 (fma.f64 a (/.f64 c d) b)) (hypot.f64 c d)))
(*.f64 (/.f64 (sqrt.f64 (fma.f64 a (/.f64 c d) b)) (pow.f64 (cbrt.f64 (hypot.f64 c d)) 2)) (/.f64 (sqrt.f64 (fma.f64 a (/.f64 c d) b)) (cbrt.f64 (hypot.f64 c d))))
(pow.f64 (/.f64 (fma.f64 a (/.f64 c d) b) (hypot.f64 c d)) 1)
(pow.f64 (cbrt.f64 (/.f64 (fma.f64 a (/.f64 c d) b) (hypot.f64 c d))) 3)
(pow.f64 (pow.f64 (/.f64 (fma.f64 a (/.f64 c d) b) (hypot.f64 c d)) 3) 1/3)
(pow.f64 (sqrt.f64 (/.f64 (fma.f64 a (/.f64 c d) b) (hypot.f64 c d))) 2)
(pow.f64 (/.f64 (hypot.f64 c d) (fma.f64 a (/.f64 c d) b)) -1)
(neg.f64 (/.f64 (fma.f64 a (/.f64 c d) b) (neg.f64 (hypot.f64 c d))))
(neg.f64 (/.f64 (neg.f64 (fma.f64 a (/.f64 c d) b)) (hypot.f64 c d)))
(sqrt.f64 (pow.f64 (/.f64 (fma.f64 a (/.f64 c d) b) (hypot.f64 c d)) 2))
(log.f64 (exp.f64 (/.f64 (fma.f64 a (/.f64 c d) b) (hypot.f64 c d))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (fma.f64 a (/.f64 c d) b) (hypot.f64 c d)))))
(cbrt.f64 (pow.f64 (/.f64 (fma.f64 a (/.f64 c d) b) (hypot.f64 c d)) 3))
(cbrt.f64 (/.f64 (pow.f64 (fma.f64 a (/.f64 c d) b) 3) (pow.f64 (hypot.f64 c d) 3)))
(expm1.f64 (log1p.f64 (/.f64 (fma.f64 a (/.f64 c d) b) (hypot.f64 c d))))
(log1p.f64 (expm1.f64 (/.f64 (fma.f64 a (/.f64 c d) b) (hypot.f64 c d))))
(exp.f64 (log.f64 (/.f64 (fma.f64 a (/.f64 c d) b) (hypot.f64 c d))))
(exp.f64 (*.f64 (log.f64 (/.f64 (fma.f64 a (/.f64 c d) b) (hypot.f64 c d))) 1))
(-.f64 (exp.f64 (log1p.f64 (*.f64 a (/.f64 c d)))) 1)
(/.f64 a (/.f64 d c))
(/.f64 (*.f64 c a) d)
(/.f64 1 (/.f64 d (*.f64 c a)))
(/.f64 (neg.f64 (*.f64 c a)) (neg.f64 d))
(pow.f64 (*.f64 a (/.f64 c d)) 1)
(pow.f64 (cbrt.f64 (*.f64 a (/.f64 c d))) 3)
(pow.f64 (pow.f64 (*.f64 a (/.f64 c d)) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 a (/.f64 c d))) 2)
(sqrt.f64 (pow.f64 (*.f64 a (/.f64 c d)) 2))
(log.f64 (pow.f64 (exp.f64 a) (/.f64 c d)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 a (/.f64 c d)))))
(cbrt.f64 (pow.f64 (*.f64 a (/.f64 c d)) 3))
(expm1.f64 (log1p.f64 (*.f64 a (/.f64 c d))))
(log1p.f64 (expm1.f64 (*.f64 a (/.f64 c d))))
(exp.f64 (log.f64 (*.f64 a (/.f64 c d))))
(exp.f64 (*.f64 (log.f64 (*.f64 a (/.f64 c d))) 1))
Outputs
(/.f64 1 b)
(+.f64 (*.f64 -1 (/.f64 (*.f64 a c) (*.f64 (pow.f64 b 2) d))) (/.f64 1 b))
(fma.f64 -1 (*.f64 a (/.f64 c (*.f64 (pow.f64 b 2) d))) (/.f64 1 b))
(-.f64 (/.f64 1 b) (*.f64 (/.f64 a (pow.f64 b 2)) (/.f64 c d)))
(+.f64 (*.f64 -1 (/.f64 (*.f64 a c) (*.f64 (pow.f64 b 2) d))) (+.f64 (*.f64 (pow.f64 c 2) (+.f64 (*.f64 1/2 (/.f64 1 (*.f64 b (pow.f64 d 2)))) (/.f64 (pow.f64 a 2) (*.f64 (pow.f64 b 3) (pow.f64 d 2))))) (/.f64 1 b)))
(fma.f64 -1 (*.f64 a (/.f64 c (*.f64 (pow.f64 b 2) d))) (fma.f64 (pow.f64 c 2) (+.f64 (/.f64 1/2 (*.f64 b (pow.f64 d 2))) (/.f64 (pow.f64 a 2) (*.f64 (pow.f64 d 2) (pow.f64 b 3)))) (/.f64 1 b)))
(-.f64 (fma.f64 (pow.f64 c 2) (+.f64 (/.f64 1/2 (*.f64 b (pow.f64 d 2))) (/.f64 (pow.f64 a 2) (*.f64 (pow.f64 d 2) (pow.f64 b 3)))) (/.f64 1 b)) (*.f64 (/.f64 a (pow.f64 b 2)) (/.f64 c d)))
(+.f64 (*.f64 -1 (/.f64 (*.f64 a c) (*.f64 (pow.f64 b 2) d))) (+.f64 (*.f64 (pow.f64 c 2) (+.f64 (*.f64 1/2 (/.f64 1 (*.f64 b (pow.f64 d 2)))) (/.f64 (pow.f64 a 2) (*.f64 (pow.f64 b 3) (pow.f64 d 2))))) (+.f64 (*.f64 (pow.f64 c 3) (+.f64 (*.f64 -1 (/.f64 (pow.f64 a 3) (*.f64 (pow.f64 b 4) (pow.f64 d 3)))) (*.f64 -1/2 (/.f64 a (*.f64 (pow.f64 b 2) (pow.f64 d 3)))))) (/.f64 1 b))))
(fma.f64 -1 (*.f64 a (/.f64 c (*.f64 (pow.f64 b 2) d))) (fma.f64 (pow.f64 c 2) (+.f64 (/.f64 1/2 (*.f64 b (pow.f64 d 2))) (/.f64 (pow.f64 a 2) (*.f64 (pow.f64 d 2) (pow.f64 b 3)))) (fma.f64 (pow.f64 c 3) (fma.f64 -1 (/.f64 (pow.f64 a 3) (*.f64 (pow.f64 b 4) (pow.f64 d 3))) (*.f64 -1/2 (/.f64 a (*.f64 (pow.f64 b 2) (pow.f64 d 3))))) (/.f64 1 b))))
(-.f64 (fma.f64 (pow.f64 c 2) (+.f64 (/.f64 1/2 (*.f64 b (pow.f64 d 2))) (/.f64 (pow.f64 a 2) (*.f64 (pow.f64 d 2) (pow.f64 b 3)))) (fma.f64 (pow.f64 c 3) (fma.f64 -1/2 (/.f64 a (*.f64 (pow.f64 b 2) (pow.f64 d 3))) (/.f64 (pow.f64 a 3) (neg.f64 (*.f64 (pow.f64 b 4) (pow.f64 d 3))))) (/.f64 1 b))) (*.f64 (/.f64 a (pow.f64 b 2)) (/.f64 c d)))
(/.f64 1 a)
(+.f64 (*.f64 -1 (/.f64 (*.f64 b d) (*.f64 (pow.f64 a 2) c))) (/.f64 1 a))
(fma.f64 -1 (*.f64 (/.f64 b (pow.f64 a 2)) (/.f64 d c)) (/.f64 1 a))
(-.f64 (/.f64 1 a) (*.f64 (/.f64 b (pow.f64 a 2)) (/.f64 d c)))
(+.f64 (*.f64 -1 (/.f64 (*.f64 b d) (*.f64 (pow.f64 a 2) c))) (+.f64 (*.f64 1/2 (/.f64 (pow.f64 d 2) (*.f64 a (pow.f64 c 2)))) (+.f64 (/.f64 1 a) (/.f64 (*.f64 (pow.f64 b 2) (pow.f64 d 2)) (*.f64 (pow.f64 a 3) (pow.f64 c 2))))))
(fma.f64 -1 (*.f64 (/.f64 b (pow.f64 a 2)) (/.f64 d c)) (fma.f64 1/2 (/.f64 (pow.f64 d 2) (*.f64 a (pow.f64 c 2))) (+.f64 (/.f64 1 a) (*.f64 (pow.f64 b 2) (/.f64 (pow.f64 d 2) (*.f64 (pow.f64 c 2) (pow.f64 a 3)))))))
(-.f64 (fma.f64 1/2 (/.f64 (pow.f64 d 2) (*.f64 a (pow.f64 c 2))) (fma.f64 (pow.f64 b 2) (/.f64 (pow.f64 d 2) (*.f64 (pow.f64 c 2) (pow.f64 a 3))) (/.f64 1 a))) (*.f64 (/.f64 b (pow.f64 a 2)) (/.f64 d c)))
(+.f64 (*.f64 -1 (/.f64 (*.f64 b d) (*.f64 (pow.f64 a 2) c))) (+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 b 3) (pow.f64 d 3)) (*.f64 (pow.f64 a 4) (pow.f64 c 3)))) (+.f64 (*.f64 -1/2 (/.f64 (*.f64 b (pow.f64 d 3)) (*.f64 (pow.f64 a 2) (pow.f64 c 3)))) (+.f64 (*.f64 1/2 (/.f64 (pow.f64 d 2) (*.f64 a (pow.f64 c 2)))) (+.f64 (/.f64 1 a) (/.f64 (*.f64 (pow.f64 b 2) (pow.f64 d 2)) (*.f64 (pow.f64 a 3) (pow.f64 c 2))))))))
(fma.f64 -1 (*.f64 (/.f64 b (pow.f64 a 2)) (/.f64 d c)) (fma.f64 -1 (/.f64 (pow.f64 (*.f64 b d) 3) (*.f64 (pow.f64 c 3) (pow.f64 a 4))) (fma.f64 -1/2 (*.f64 (/.f64 b (pow.f64 a 2)) (/.f64 (pow.f64 d 3) (pow.f64 c 3))) (fma.f64 1/2 (/.f64 (pow.f64 d 2) (*.f64 a (pow.f64 c 2))) (+.f64 (/.f64 1 a) (*.f64 (pow.f64 b 2) (/.f64 (pow.f64 d 2) (*.f64 (pow.f64 c 2) (pow.f64 a 3)))))))))
(-.f64 (-.f64 (fma.f64 -1/2 (*.f64 (/.f64 b (pow.f64 a 2)) (/.f64 (pow.f64 d 3) (pow.f64 c 3))) (fma.f64 1/2 (/.f64 (pow.f64 d 2) (*.f64 a (pow.f64 c 2))) (fma.f64 (pow.f64 b 2) (/.f64 (pow.f64 d 2) (*.f64 (pow.f64 c 2) (pow.f64 a 3))) (/.f64 1 a)))) (/.f64 (pow.f64 (*.f64 b d) 3) (*.f64 (pow.f64 c 3) (pow.f64 a 4)))) (*.f64 (/.f64 b (pow.f64 a 2)) (/.f64 d c)))
(/.f64 -1 a)
(-.f64 (/.f64 (*.f64 b d) (*.f64 (pow.f64 a 2) c)) (/.f64 1 a))
(-.f64 (*.f64 (/.f64 b (pow.f64 a 2)) (/.f64 d c)) (/.f64 1 a))
(fma.f64 (/.f64 b (pow.f64 a 2)) (/.f64 d c) (/.f64 -1 a))
(-.f64 (+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 b 2) (pow.f64 d 2)) (*.f64 (pow.f64 a 3) (pow.f64 c 2)))) (+.f64 (*.f64 -1/2 (/.f64 (pow.f64 d 2) (*.f64 a (pow.f64 c 2)))) (/.f64 (*.f64 b d) (*.f64 (pow.f64 a 2) c)))) (/.f64 1 a))
(-.f64 (fma.f64 -1 (*.f64 (pow.f64 b 2) (/.f64 (pow.f64 d 2) (*.f64 (pow.f64 c 2) (pow.f64 a 3)))) (fma.f64 -1/2 (/.f64 (pow.f64 d 2) (*.f64 a (pow.f64 c 2))) (*.f64 (/.f64 b (pow.f64 a 2)) (/.f64 d c)))) (/.f64 1 a))
(+.f64 (-.f64 (fma.f64 -1/2 (/.f64 (pow.f64 d 2) (*.f64 a (pow.f64 c 2))) (*.f64 (/.f64 b (pow.f64 a 2)) (/.f64 d c))) (*.f64 (/.f64 (pow.f64 b 2) (pow.f64 a 3)) (/.f64 (pow.f64 d 2) (pow.f64 c 2)))) (/.f64 -1 a))
(-.f64 (+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 b 2) (pow.f64 d 2)) (*.f64 (pow.f64 a 3) (pow.f64 c 2)))) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 b 3) (pow.f64 d 3)) (pow.f64 a 4))) (*.f64 -1/2 (/.f64 (*.f64 b (pow.f64 d 3)) (pow.f64 a 2)))) (pow.f64 c 3))) (+.f64 (*.f64 -1/2 (/.f64 (pow.f64 d 2) (*.f64 a (pow.f64 c 2)))) (/.f64 (*.f64 b d) (*.f64 (pow.f64 a 2) c))))) (/.f64 1 a))
(-.f64 (fma.f64 -1 (*.f64 (pow.f64 b 2) (/.f64 (pow.f64 d 2) (*.f64 (pow.f64 c 2) (pow.f64 a 3)))) (fma.f64 -1 (/.f64 (fma.f64 -1 (/.f64 (pow.f64 (*.f64 b d) 3) (pow.f64 a 4)) (*.f64 -1/2 (/.f64 (*.f64 b (pow.f64 d 3)) (pow.f64 a 2)))) (pow.f64 c 3)) (fma.f64 -1/2 (/.f64 (pow.f64 d 2) (*.f64 a (pow.f64 c 2))) (*.f64 (/.f64 b (pow.f64 a 2)) (/.f64 d c))))) (/.f64 1 a))
(+.f64 (-.f64 (-.f64 (fma.f64 -1/2 (/.f64 (pow.f64 d 2) (*.f64 a (pow.f64 c 2))) (*.f64 (/.f64 b (pow.f64 a 2)) (/.f64 d c))) (/.f64 (-.f64 (*.f64 -1/2 (*.f64 b (/.f64 (pow.f64 d 3) (pow.f64 a 2)))) (/.f64 (pow.f64 (*.f64 b d) 3) (pow.f64 a 4))) (pow.f64 c 3))) (*.f64 (/.f64 (pow.f64 b 2) (pow.f64 a 3)) (/.f64 (pow.f64 d 2) (pow.f64 c 2)))) (/.f64 -1 a))
(/.f64 1 a)
(+.f64 (*.f64 -1 (/.f64 (*.f64 b d) (*.f64 (pow.f64 a 2) c))) (/.f64 1 a))
(fma.f64 -1 (*.f64 (/.f64 b (pow.f64 a 2)) (/.f64 d c)) (/.f64 1 a))
(-.f64 (/.f64 1 a) (*.f64 (/.f64 b (pow.f64 a 2)) (/.f64 d c)))
(+.f64 (*.f64 -1 (/.f64 (*.f64 b d) (*.f64 (pow.f64 a 2) c))) (+.f64 (*.f64 (pow.f64 d 2) (+.f64 (*.f64 1/2 (/.f64 1 (*.f64 a (pow.f64 c 2)))) (/.f64 (pow.f64 b 2) (*.f64 (pow.f64 a 3) (pow.f64 c 2))))) (/.f64 1 a)))
(fma.f64 -1 (*.f64 (/.f64 b (pow.f64 a 2)) (/.f64 d c)) (fma.f64 (pow.f64 d 2) (+.f64 (/.f64 1/2 (*.f64 a (pow.f64 c 2))) (/.f64 (pow.f64 b 2) (*.f64 (pow.f64 c 2) (pow.f64 a 3)))) (/.f64 1 a)))
(-.f64 (fma.f64 (pow.f64 d 2) (+.f64 (/.f64 1/2 (*.f64 a (pow.f64 c 2))) (/.f64 (pow.f64 b 2) (*.f64 (pow.f64 c 2) (pow.f64 a 3)))) (/.f64 1 a)) (*.f64 (/.f64 b (pow.f64 a 2)) (/.f64 d c)))
(+.f64 (*.f64 -1 (/.f64 (*.f64 b d) (*.f64 (pow.f64 a 2) c))) (+.f64 (*.f64 (pow.f64 d 2) (+.f64 (*.f64 1/2 (/.f64 1 (*.f64 a (pow.f64 c 2)))) (/.f64 (pow.f64 b 2) (*.f64 (pow.f64 a 3) (pow.f64 c 2))))) (+.f64 (*.f64 (pow.f64 d 3) (+.f64 (*.f64 -1 (/.f64 (pow.f64 b 3) (*.f64 (pow.f64 a 4) (pow.f64 c 3)))) (*.f64 -1/2 (/.f64 b (*.f64 (pow.f64 a 2) (pow.f64 c 3)))))) (/.f64 1 a))))
(fma.f64 -1 (*.f64 (/.f64 b (pow.f64 a 2)) (/.f64 d c)) (fma.f64 (pow.f64 d 2) (+.f64 (/.f64 1/2 (*.f64 a (pow.f64 c 2))) (/.f64 (pow.f64 b 2) (*.f64 (pow.f64 c 2) (pow.f64 a 3)))) (fma.f64 (pow.f64 d 3) (fma.f64 -1 (/.f64 (/.f64 (pow.f64 b 3) (pow.f64 a 4)) (pow.f64 c 3)) (*.f64 -1/2 (/.f64 b (*.f64 (pow.f64 a 2) (pow.f64 c 3))))) (/.f64 1 a))))
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(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 d (/.f64 b c))) 2) (sqrt.f64 c)) (/.f64 (cbrt.f64 (*.f64 d (/.f64 b c))) (sqrt.f64 c)))
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(*.f64 (/.f64 (sqrt.f64 (*.f64 d (/.f64 b c))) 1) (/.f64 (sqrt.f64 (*.f64 d (/.f64 b c))) c))
(*.f64 b (/.f64 d (pow.f64 c 2)))
(*.f64 (/.f64 (sqrt.f64 (*.f64 d (/.f64 b c))) (pow.f64 (cbrt.f64 c) 2)) (/.f64 (sqrt.f64 (*.f64 d (/.f64 b c))) (cbrt.f64 c)))
(*.f64 (/.f64 (sqrt.f64 (*.f64 b (/.f64 d c))) (pow.f64 (cbrt.f64 c) 2)) (/.f64 (sqrt.f64 (*.f64 b (/.f64 d c))) (cbrt.f64 c)))
(pow.f64 (/.f64 (*.f64 d b) (pow.f64 c 2)) 1)
(*.f64 b (/.f64 d (pow.f64 c 2)))
(pow.f64 (cbrt.f64 (/.f64 (*.f64 d b) (pow.f64 c 2))) 3)
(*.f64 b (/.f64 d (pow.f64 c 2)))
(pow.f64 (pow.f64 (/.f64 (*.f64 d b) (pow.f64 c 2)) 3) 1/3)
(*.f64 b (/.f64 d (pow.f64 c 2)))
(pow.f64 (/.f64 (sqrt.f64 (*.f64 d b)) c) 2)
(*.f64 b (/.f64 d (pow.f64 c 2)))
(pow.f64 (/.f64 c (*.f64 d (/.f64 b c))) -1)
(/.f64 1 (/.f64 (/.f64 c d) (/.f64 b c)))
(neg.f64 (/.f64 (*.f64 d (/.f64 b c)) (neg.f64 c)))
(*.f64 b (/.f64 d (pow.f64 c 2)))
(neg.f64 (/.f64 (*.f64 (neg.f64 b) (/.f64 d c)) c))
(*.f64 b (/.f64 d (pow.f64 c 2)))
(sqrt.f64 (pow.f64 (/.f64 (*.f64 d b) (pow.f64 c 2)) 2))
(sqrt.f64 (pow.f64 (*.f64 b (/.f64 d (pow.f64 c 2))) 2))
(fabs.f64 (*.f64 b (/.f64 d (pow.f64 c 2))))
(log.f64 (exp.f64 (/.f64 (*.f64 d b) (pow.f64 c 2))))
(*.f64 b (/.f64 d (pow.f64 c 2)))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (*.f64 d b) (pow.f64 c 2)))))
(*.f64 b (/.f64 d (pow.f64 c 2)))
(cbrt.f64 (pow.f64 (/.f64 (*.f64 d b) (pow.f64 c 2)) 3))
(*.f64 b (/.f64 d (pow.f64 c 2)))
(expm1.f64 (log1p.f64 (/.f64 (*.f64 d b) (pow.f64 c 2))))
(expm1.f64 (log1p.f64 (*.f64 b (/.f64 d (pow.f64 c 2)))))
(log1p.f64 (expm1.f64 (/.f64 (*.f64 d b) (pow.f64 c 2))))
(*.f64 b (/.f64 d (pow.f64 c 2)))
(exp.f64 (log.f64 (/.f64 (*.f64 d b) (pow.f64 c 2))))
(*.f64 b (/.f64 d (pow.f64 c 2)))
(exp.f64 (*.f64 (log.f64 (/.f64 (*.f64 d b) (pow.f64 c 2))) 1))
(*.f64 b (/.f64 d (pow.f64 c 2)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (fma.f64 a (/.f64 c d) b) (hypot.f64 c d)))) 1)
(expm1.f64 (log1p.f64 (/.f64 (fma.f64 a (/.f64 c d) b) (hypot.f64 c d))))
(*.f64 1 (/.f64 (fma.f64 a (/.f64 c d) b) (hypot.f64 c d)))
(/.f64 (fma.f64 a (/.f64 c d) b) (hypot.f64 c d))
(*.f64 (fma.f64 a (/.f64 c d) b) (/.f64 1 (hypot.f64 c d)))
(/.f64 (fma.f64 a (/.f64 c d) b) (hypot.f64 c d))
(*.f64 (cbrt.f64 (/.f64 (fma.f64 a (/.f64 c d) b) (hypot.f64 c d))) (pow.f64 (cbrt.f64 (/.f64 (fma.f64 a (/.f64 c d) b) (hypot.f64 c d))) 2))
(/.f64 (fma.f64 a (/.f64 c d) b) (hypot.f64 c d))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (fma.f64 a (/.f64 c d) b) (hypot.f64 c d))) 2) (cbrt.f64 (/.f64 (fma.f64 a (/.f64 c d) b) (hypot.f64 c d))))
(/.f64 (fma.f64 a (/.f64 c d) b) (hypot.f64 c d))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 a (/.f64 c d) b)) 2) (*.f64 (cbrt.f64 (fma.f64 a (/.f64 c d) b)) (/.f64 1 (hypot.f64 c d))))
(/.f64 (fma.f64 a (/.f64 c d) b) (hypot.f64 c d))
(*.f64 (sqrt.f64 (/.f64 (fma.f64 a (/.f64 c d) b) (hypot.f64 c d))) (sqrt.f64 (/.f64 (fma.f64 a (/.f64 c d) b) (hypot.f64 c d))))
(/.f64 (fma.f64 a (/.f64 c d) b) (hypot.f64 c d))
(*.f64 (sqrt.f64 (fma.f64 a (/.f64 c d) b)) (*.f64 (sqrt.f64 (fma.f64 a (/.f64 c d) b)) (/.f64 1 (hypot.f64 c d))))
(/.f64 (fma.f64 a (/.f64 c d) b) (hypot.f64 c d))
(*.f64 (neg.f64 (fma.f64 a (/.f64 c d) b)) (/.f64 1 (neg.f64 (hypot.f64 c d))))
(/.f64 (fma.f64 a (/.f64 c d) b) (hypot.f64 c d))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (hypot.f64 c d)) 2)) (/.f64 (fma.f64 a (/.f64 c d) b) (cbrt.f64 (hypot.f64 c d))))
(/.f64 (/.f64 (fma.f64 a (/.f64 c d) b) (cbrt.f64 (hypot.f64 c d))) (pow.f64 (cbrt.f64 (hypot.f64 c d)) 2))
(*.f64 (/.f64 1 (sqrt.f64 (hypot.f64 c d))) (/.f64 (fma.f64 a (/.f64 c d) b) (sqrt.f64 (hypot.f64 c d))))
(/.f64 (/.f64 (fma.f64 a (/.f64 c d) b) (sqrt.f64 (hypot.f64 c d))) (sqrt.f64 (hypot.f64 c d)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 a (/.f64 c d) b)) 2) 1) (/.f64 (cbrt.f64 (fma.f64 a (/.f64 c d) b)) (hypot.f64 c d)))
(/.f64 (fma.f64 a (/.f64 c d) b) (hypot.f64 c d))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 a (/.f64 c d) b)) 2) (pow.f64 (cbrt.f64 (hypot.f64 c d)) 2)) (cbrt.f64 (/.f64 (fma.f64 a (/.f64 c d) b) (hypot.f64 c d))))
(*.f64 (cbrt.f64 (/.f64 (fma.f64 a (/.f64 c d) b) (hypot.f64 c d))) (/.f64 (pow.f64 (cbrt.f64 (fma.f64 a (/.f64 c d) b)) 2) (pow.f64 (cbrt.f64 (hypot.f64 c d)) 2)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 a (/.f64 c d) b)) 2) (sqrt.f64 (hypot.f64 c d))) (/.f64 (cbrt.f64 (fma.f64 a (/.f64 c d) b)) (sqrt.f64 (hypot.f64 c d))))
(*.f64 (/.f64 (sqrt.f64 (fma.f64 a (/.f64 c d) b)) 1) (/.f64 (sqrt.f64 (fma.f64 a (/.f64 c d) b)) (hypot.f64 c d)))
(/.f64 (fma.f64 a (/.f64 c d) b) (hypot.f64 c d))
(*.f64 (/.f64 (sqrt.f64 (fma.f64 a (/.f64 c d) b)) (pow.f64 (cbrt.f64 (hypot.f64 c d)) 2)) (/.f64 (sqrt.f64 (fma.f64 a (/.f64 c d) b)) (cbrt.f64 (hypot.f64 c d))))
(pow.f64 (/.f64 (fma.f64 a (/.f64 c d) b) (hypot.f64 c d)) 1)
(/.f64 (fma.f64 a (/.f64 c d) b) (hypot.f64 c d))
(pow.f64 (cbrt.f64 (/.f64 (fma.f64 a (/.f64 c d) b) (hypot.f64 c d))) 3)
(/.f64 (fma.f64 a (/.f64 c d) b) (hypot.f64 c d))
(pow.f64 (pow.f64 (/.f64 (fma.f64 a (/.f64 c d) b) (hypot.f64 c d)) 3) 1/3)
(/.f64 (fma.f64 a (/.f64 c d) b) (hypot.f64 c d))
(pow.f64 (sqrt.f64 (/.f64 (fma.f64 a (/.f64 c d) b) (hypot.f64 c d))) 2)
(/.f64 (fma.f64 a (/.f64 c d) b) (hypot.f64 c d))
(pow.f64 (/.f64 (hypot.f64 c d) (fma.f64 a (/.f64 c d) b)) -1)
(/.f64 1 (/.f64 (hypot.f64 c d) (fma.f64 a (/.f64 c d) b)))
(neg.f64 (/.f64 (fma.f64 a (/.f64 c d) b) (neg.f64 (hypot.f64 c d))))
(/.f64 (fma.f64 a (/.f64 c d) b) (hypot.f64 c d))
(neg.f64 (/.f64 (neg.f64 (fma.f64 a (/.f64 c d) b)) (hypot.f64 c d)))
(/.f64 (fma.f64 a (/.f64 c d) b) (hypot.f64 c d))
(sqrt.f64 (pow.f64 (/.f64 (fma.f64 a (/.f64 c d) b) (hypot.f64 c d)) 2))
(fabs.f64 (/.f64 (fma.f64 a (/.f64 c d) b) (hypot.f64 c d)))
(log.f64 (exp.f64 (/.f64 (fma.f64 a (/.f64 c d) b) (hypot.f64 c d))))
(/.f64 (fma.f64 a (/.f64 c d) b) (hypot.f64 c d))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (fma.f64 a (/.f64 c d) b) (hypot.f64 c d)))))
(/.f64 (fma.f64 a (/.f64 c d) b) (hypot.f64 c d))
(cbrt.f64 (pow.f64 (/.f64 (fma.f64 a (/.f64 c d) b) (hypot.f64 c d)) 3))
(/.f64 (fma.f64 a (/.f64 c d) b) (hypot.f64 c d))
(cbrt.f64 (/.f64 (pow.f64 (fma.f64 a (/.f64 c d) b) 3) (pow.f64 (hypot.f64 c d) 3)))
(/.f64 (fma.f64 a (/.f64 c d) b) (hypot.f64 c d))
(expm1.f64 (log1p.f64 (/.f64 (fma.f64 a (/.f64 c d) b) (hypot.f64 c d))))
(log1p.f64 (expm1.f64 (/.f64 (fma.f64 a (/.f64 c d) b) (hypot.f64 c d))))
(/.f64 (fma.f64 a (/.f64 c d) b) (hypot.f64 c d))
(exp.f64 (log.f64 (/.f64 (fma.f64 a (/.f64 c d) b) (hypot.f64 c d))))
(/.f64 (fma.f64 a (/.f64 c d) b) (hypot.f64 c d))
(exp.f64 (*.f64 (log.f64 (/.f64 (fma.f64 a (/.f64 c d) b) (hypot.f64 c d))) 1))
(/.f64 (fma.f64 a (/.f64 c d) b) (hypot.f64 c d))
(-.f64 (exp.f64 (log1p.f64 (*.f64 a (/.f64 c d)))) 1)
(expm1.f64 (log1p.f64 (*.f64 a (/.f64 c d))))
(/.f64 a (/.f64 d c))
(*.f64 (/.f64 a d) c)
(/.f64 (*.f64 c a) d)
(*.f64 a (/.f64 c d))
(/.f64 1 (/.f64 d (*.f64 c a)))
(/.f64 1 (/.f64 (/.f64 d c) a))
(*.f64 (/.f64 1 d) (*.f64 a c))
(/.f64 (neg.f64 (*.f64 c a)) (neg.f64 d))
(*.f64 a (/.f64 c d))
(pow.f64 (*.f64 a (/.f64 c d)) 1)
(*.f64 a (/.f64 c d))
(pow.f64 (cbrt.f64 (*.f64 a (/.f64 c d))) 3)
(*.f64 a (/.f64 c d))
(pow.f64 (pow.f64 (*.f64 a (/.f64 c d)) 3) 1/3)
(*.f64 a (/.f64 c d))
(pow.f64 (sqrt.f64 (*.f64 a (/.f64 c d))) 2)
(*.f64 a (/.f64 c d))
(sqrt.f64 (pow.f64 (*.f64 a (/.f64 c d)) 2))
(fabs.f64 (*.f64 a (/.f64 c d)))
(log.f64 (pow.f64 (exp.f64 a) (/.f64 c d)))
(*.f64 a (/.f64 c d))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 a (/.f64 c d)))))
(*.f64 a (/.f64 c d))
(cbrt.f64 (pow.f64 (*.f64 a (/.f64 c d)) 3))
(*.f64 a (/.f64 c d))
(expm1.f64 (log1p.f64 (*.f64 a (/.f64 c d))))
(log1p.f64 (expm1.f64 (*.f64 a (/.f64 c d))))
(*.f64 a (/.f64 c d))
(exp.f64 (log.f64 (*.f64 a (/.f64 c d))))
(*.f64 a (/.f64 c d))
(exp.f64 (*.f64 (log.f64 (*.f64 a (/.f64 c d))) 1))
(*.f64 a (/.f64 c d))

eval318.0ms (3.3%)

Compiler

Compiled 16442 to 7868 computations (52.1% saved)

prune195.0ms (2%)

Pruning

25 alts after pruning (19 fresh and 6 done)

PrunedKeptTotal
New6839692
Fresh51015
Picked325
Done145
Total69225717
Accuracy
100.0%
Counts
717 → 25
Alt Table
Click to see full alt table
StatusAccuracyProgram
19.7%
(/.f64 (/.f64 (*.f64 b d) c) c)
59.6%
(/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) (+.f64 (*.f64 c c) (*.f64 d d)))
29.8%
(/.f64 (+.f64 (*.f64 -1 b) (*.f64 -1 (/.f64 (*.f64 a c) d))) (hypot.f64 c d))
31.0%
(/.f64 (+.f64 c (*.f64 (/.f64 c a) (*.f64 d (/.f64 b c)))) (*.f64 (/.f64 c a) c))
31.8%
(/.f64 (+.f64 b (/.f64 a (/.f64 d c))) (hypot.f64 c d))
31.9%
(/.f64 (+.f64 b (*.f64 a (/.f64 c d))) (hypot.f64 c d))
38.9%
(/.f64 (*.f64 c a) (+.f64 (*.f64 c c) (*.f64 d d)))
36.5%
(/.f64 (*.f64 b d) (+.f64 (*.f64 c c) (*.f64 d d)))
30.6%
(/.f64 (*.f64 -1 (+.f64 b (*.f64 a (/.f64 c d)))) (hypot.f64 c d))
9.3%
(/.f64 (neg.f64 a) d)
8.4%
(/.f64 (neg.f64 a) c)
11.5%
(/.f64 b (neg.f64 d))
9.2%
(/.f64 b (neg.f64 c))
39.8%
(/.f64 b d)
7.1%
(/.f64 b c)
7.7%
(/.f64 a d)
45.0%
(/.f64 a c)
32.0%
(/.f64 1 (/.f64 (hypot.f64 c d) (fma.f64 a (/.f64 c d) b)))
39.7%
(/.f64 1 (/.f64 d b))
48.1%
(/.f64 1 (*.f64 (/.f64 (hypot.f64 c d) (*.f64 a c)) (hypot.f64 c d)))
27.6%
(/.f64 1 (*.f64 (/.f64 -1 b) (hypot.f64 c d)))
45.6%
(+.f64 (/.f64 b d) (*.f64 a (/.f64 c (pow.f64 d 2))))
55.1%
(+.f64 (/.f64 a c) (*.f64 (/.f64 d c) (/.f64 b c)))
31.9%
(*.f64 (/.f64 1 (hypot.f64 c d)) (+.f64 b (*.f64 a (/.f64 c d))))
19.1%
(*.f64 b (*.f64 (/.f64 1 c) (/.f64 d c)))
Compiler

Compiled 833 to 386 computations (53.7% saved)

regimes371.0ms (3.9%)

Counts
49 → 2
Calls
Call 1
Inputs
(/.f64 a c)
(/.f64 a d)
(/.f64 b c)
(/.f64 b d)
(/.f64 b (neg.f64 c))
(/.f64 b (neg.f64 d))
(/.f64 (neg.f64 a) c)
(/.f64 (neg.f64 a) d)
(/.f64 1 (/.f64 d b))
(+.f64 (/.f64 b c) (/.f64 a d))
(/.f64 (/.f64 (*.f64 b d) c) c)
(-.f64 (/.f64 b (neg.f64 c)) (/.f64 a d))
(*.f64 b (*.f64 (/.f64 1 c) (/.f64 d c)))
(+.f64 (/.f64 a c) (*.f64 (/.f64 d c) (/.f64 b c)))
(+.f64 (/.f64 a c) (/.f64 (/.f64 (*.f64 b d) c) c))
(/.f64 (*.f64 b d) (+.f64 (*.f64 c c) (*.f64 d d)))
(/.f64 (*.f64 c a) (+.f64 (*.f64 c c) (*.f64 d d)))
(+.f64 (/.f64 a c) (*.f64 b (*.f64 (/.f64 1 c) (/.f64 d c))))
(/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) (+.f64 (*.f64 c c) (*.f64 d d)))
(/.f64 (+.f64 c (*.f64 (/.f64 c a) (*.f64 d (/.f64 b c)))) (*.f64 (/.f64 c a) c))
(*.f64 b (/.f64 d (pow.f64 c 2)))
(*.f64 (/.f64 1 (hypot.f64 c d)) a)
(*.f64 (/.f64 1 (hypot.f64 c d)) b)
(*.f64 (/.f64 1 (hypot.f64 c d)) (neg.f64 a))
(*.f64 (/.f64 1 (hypot.f64 c d)) (neg.f64 b))
(/.f64 1 (*.f64 (/.f64 -1 b) (hypot.f64 c d)))
(+.f64 (/.f64 a c) (*.f64 b (/.f64 d (pow.f64 c 2))))
(+.f64 (/.f64 b d) (*.f64 a (/.f64 c (pow.f64 d 2))))
(/.f64 (+.f64 b (*.f64 a (/.f64 c d))) (hypot.f64 c d))
(/.f64 (+.f64 b (/.f64 a (/.f64 d c))) (hypot.f64 c d))
(/.f64 (+.f64 b (/.f64 (*.f64 a c) d)) (hypot.f64 c d))
(*.f64 (/.f64 1 (hypot.f64 c d)) (+.f64 a (*.f64 b (/.f64 d c))))
(*.f64 (/.f64 1 (hypot.f64 c d)) (+.f64 b (*.f64 a (/.f64 c d))))
(*.f64 (/.f64 1 (hypot.f64 c d)) (-.f64 (*.f64 d (/.f64 b c)) a))
(/.f64 (*.f64 -1 (+.f64 b (*.f64 a (/.f64 c d)))) (hypot.f64 c d))
(/.f64 (fma.f64 d b (*.f64 a c)) (+.f64 (*.f64 c c) (*.f64 d d)))
(*.f64 (/.f64 1 (hypot.f64 c d)) (*.f64 -1 (+.f64 a (*.f64 b (/.f64 d c)))))
(*.f64 (/.f64 1 (hypot.f64 c d)) (*.f64 -1 (+.f64 b (*.f64 a (/.f64 c d)))))
(*.f64 (/.f64 1 (hypot.f64 c d)) (*.f64 -1 (-.f64 (*.f64 d (/.f64 b c)) a)))
(/.f64 (+.f64 (*.f64 -1 b) (*.f64 -1 (/.f64 (*.f64 a c) d))) (hypot.f64 c d))
(*.f64 (/.f64 1 (hypot.f64 c d)) (+.f64 (*.f64 -1 a) (*.f64 -1 (/.f64 (*.f64 b d) c))))
(*.f64 (/.f64 1 (hypot.f64 c d)) (+.f64 (*.f64 -1 b) (*.f64 -1 (/.f64 (*.f64 a c) d))))
(*.f64 c (/.f64 a (pow.f64 (hypot.f64 d c) 2)))
(/.f64 1 (/.f64 (hypot.f64 c d) (fma.f64 a (/.f64 c d) b)))
(/.f64 1 (*.f64 (/.f64 (hypot.f64 c d) (*.f64 a c)) (hypot.f64 c d)))
(/.f64 (/.f64 (fma.f64 b d (*.f64 a c)) (hypot.f64 c d)) (hypot.f64 c d))
(*.f64 (/.f64 1 (hypot.f64 c d)) (/.f64 (fma.f64 a c (*.f64 b d)) (hypot.f64 c d)))
(/.f64 1 (*.f64 (/.f64 (hypot.f64 c d) (fma.f64 b d (*.f64 a c))) (hypot.f64 c d)))
(pow.f64 (/.f64 (sqrt.f64 (fma.f64 a c (*.f64 b d))) (hypot.f64 c d)) 2)
Outputs
(/.f64 (/.f64 (fma.f64 b d (*.f64 a c)) (hypot.f64 c d)) (hypot.f64 c d))
(+.f64 (/.f64 a c) (*.f64 (/.f64 d c) (/.f64 b c)))
Calls

5 calls:

133.0ms
c
110.0ms
d
72.0ms
a
27.0ms
(/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) (+.f64 (*.f64 c c) (*.f64 d d)))
25.0ms
b
Results
AccuracySegmentsBranch
79.0%2a
76.4%1b
88.2%3c
86.8%5d
88.6%2(/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) (+.f64 (*.f64 c c) (*.f64 d d)))
Compiler

Compiled 39 to 27 computations (30.8% saved)

regimes240.0ms (2.5%)

Counts
45 → 3
Calls
Call 1
Inputs
(/.f64 a c)
(/.f64 a d)
(/.f64 b c)
(/.f64 b d)
(/.f64 b (neg.f64 c))
(/.f64 b (neg.f64 d))
(/.f64 (neg.f64 a) c)
(/.f64 (neg.f64 a) d)
(/.f64 1 (/.f64 d b))
(+.f64 (/.f64 b c) (/.f64 a d))
(/.f64 (/.f64 (*.f64 b d) c) c)
(-.f64 (/.f64 b (neg.f64 c)) (/.f64 a d))
(*.f64 b (*.f64 (/.f64 1 c) (/.f64 d c)))
(+.f64 (/.f64 a c) (*.f64 (/.f64 d c) (/.f64 b c)))
(+.f64 (/.f64 a c) (/.f64 (/.f64 (*.f64 b d) c) c))
(/.f64 (*.f64 b d) (+.f64 (*.f64 c c) (*.f64 d d)))
(/.f64 (*.f64 c a) (+.f64 (*.f64 c c) (*.f64 d d)))
(+.f64 (/.f64 a c) (*.f64 b (*.f64 (/.f64 1 c) (/.f64 d c))))
(/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) (+.f64 (*.f64 c c) (*.f64 d d)))
(/.f64 (+.f64 c (*.f64 (/.f64 c a) (*.f64 d (/.f64 b c)))) (*.f64 (/.f64 c a) c))
(*.f64 b (/.f64 d (pow.f64 c 2)))
(*.f64 (/.f64 1 (hypot.f64 c d)) a)
(*.f64 (/.f64 1 (hypot.f64 c d)) b)
(*.f64 (/.f64 1 (hypot.f64 c d)) (neg.f64 a))
(*.f64 (/.f64 1 (hypot.f64 c d)) (neg.f64 b))
(/.f64 1 (*.f64 (/.f64 -1 b) (hypot.f64 c d)))
(+.f64 (/.f64 a c) (*.f64 b (/.f64 d (pow.f64 c 2))))
(+.f64 (/.f64 b d) (*.f64 a (/.f64 c (pow.f64 d 2))))
(/.f64 (+.f64 b (*.f64 a (/.f64 c d))) (hypot.f64 c d))
(/.f64 (+.f64 b (/.f64 a (/.f64 d c))) (hypot.f64 c d))
(/.f64 (+.f64 b (/.f64 (*.f64 a c) d)) (hypot.f64 c d))
(*.f64 (/.f64 1 (hypot.f64 c d)) (+.f64 a (*.f64 b (/.f64 d c))))
(*.f64 (/.f64 1 (hypot.f64 c d)) (+.f64 b (*.f64 a (/.f64 c d))))
(*.f64 (/.f64 1 (hypot.f64 c d)) (-.f64 (*.f64 d (/.f64 b c)) a))
(/.f64 (*.f64 -1 (+.f64 b (*.f64 a (/.f64 c d)))) (hypot.f64 c d))
(/.f64 (fma.f64 d b (*.f64 a c)) (+.f64 (*.f64 c c) (*.f64 d d)))
(*.f64 (/.f64 1 (hypot.f64 c d)) (*.f64 -1 (+.f64 a (*.f64 b (/.f64 d c)))))
(*.f64 (/.f64 1 (hypot.f64 c d)) (*.f64 -1 (+.f64 b (*.f64 a (/.f64 c d)))))
(*.f64 (/.f64 1 (hypot.f64 c d)) (*.f64 -1 (-.f64 (*.f64 d (/.f64 b c)) a)))
(/.f64 (+.f64 (*.f64 -1 b) (*.f64 -1 (/.f64 (*.f64 a c) d))) (hypot.f64 c d))
(*.f64 (/.f64 1 (hypot.f64 c d)) (+.f64 (*.f64 -1 a) (*.f64 -1 (/.f64 (*.f64 b d) c))))
(*.f64 (/.f64 1 (hypot.f64 c d)) (+.f64 (*.f64 -1 b) (*.f64 -1 (/.f64 (*.f64 a c) d))))
(*.f64 c (/.f64 a (pow.f64 (hypot.f64 d c) 2)))
(/.f64 1 (/.f64 (hypot.f64 c d) (fma.f64 a (/.f64 c d) b)))
(/.f64 1 (*.f64 (/.f64 (hypot.f64 c d) (*.f64 a c)) (hypot.f64 c d)))
Outputs
(/.f64 (*.f64 -1 (+.f64 b (*.f64 a (/.f64 c d)))) (hypot.f64 c d))
(+.f64 (/.f64 a c) (/.f64 (/.f64 (*.f64 b d) c) c))
(/.f64 (+.f64 b (*.f64 a (/.f64 c d))) (hypot.f64 c d))
Calls

3 calls:

104.0ms
c
83.0ms
d
49.0ms
(/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) (+.f64 (*.f64 c c) (*.f64 d d)))
Results
AccuracySegmentsBranch
83.0%3d
83.4%5c
80.3%4(/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) (+.f64 (*.f64 c c) (*.f64 d d)))
Compiler

Compiled 29 to 19 computations (34.5% saved)

regimes75.0ms (0.8%)

Counts
34 → 3
Calls
Call 1
Inputs
(/.f64 a c)
(/.f64 a d)
(/.f64 b c)
(/.f64 b d)
(/.f64 b (neg.f64 c))
(/.f64 b (neg.f64 d))
(/.f64 (neg.f64 a) c)
(/.f64 (neg.f64 a) d)
(/.f64 1 (/.f64 d b))
(+.f64 (/.f64 b c) (/.f64 a d))
(/.f64 (/.f64 (*.f64 b d) c) c)
(-.f64 (/.f64 b (neg.f64 c)) (/.f64 a d))
(*.f64 b (*.f64 (/.f64 1 c) (/.f64 d c)))
(+.f64 (/.f64 a c) (*.f64 (/.f64 d c) (/.f64 b c)))
(+.f64 (/.f64 a c) (/.f64 (/.f64 (*.f64 b d) c) c))
(/.f64 (*.f64 b d) (+.f64 (*.f64 c c) (*.f64 d d)))
(/.f64 (*.f64 c a) (+.f64 (*.f64 c c) (*.f64 d d)))
(+.f64 (/.f64 a c) (*.f64 b (*.f64 (/.f64 1 c) (/.f64 d c))))
(/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) (+.f64 (*.f64 c c) (*.f64 d d)))
(/.f64 (+.f64 c (*.f64 (/.f64 c a) (*.f64 d (/.f64 b c)))) (*.f64 (/.f64 c a) c))
(*.f64 b (/.f64 d (pow.f64 c 2)))
(*.f64 (/.f64 1 (hypot.f64 c d)) a)
(*.f64 (/.f64 1 (hypot.f64 c d)) b)
(*.f64 (/.f64 1 (hypot.f64 c d)) (neg.f64 a))
(*.f64 (/.f64 1 (hypot.f64 c d)) (neg.f64 b))
(/.f64 1 (*.f64 (/.f64 -1 b) (hypot.f64 c d)))
(+.f64 (/.f64 a c) (*.f64 b (/.f64 d (pow.f64 c 2))))
(+.f64 (/.f64 b d) (*.f64 a (/.f64 c (pow.f64 d 2))))
(/.f64 (+.f64 b (*.f64 a (/.f64 c d))) (hypot.f64 c d))
(/.f64 (+.f64 b (/.f64 a (/.f64 d c))) (hypot.f64 c d))
(/.f64 (+.f64 b (/.f64 (*.f64 a c) d)) (hypot.f64 c d))
(*.f64 (/.f64 1 (hypot.f64 c d)) (+.f64 a (*.f64 b (/.f64 d c))))
(*.f64 (/.f64 1 (hypot.f64 c d)) (+.f64 b (*.f64 a (/.f64 c d))))
(*.f64 (/.f64 1 (hypot.f64 c d)) (-.f64 (*.f64 d (/.f64 b c)) a))
Outputs
(+.f64 (/.f64 b d) (*.f64 a (/.f64 c (pow.f64 d 2))))
(+.f64 (/.f64 a c) (/.f64 (/.f64 (*.f64 b d) c) c))
(/.f64 (+.f64 b (*.f64 a (/.f64 c d))) (hypot.f64 c d))
Calls

1 calls:

71.0ms
d
Results
AccuracySegmentsBranch
81.0%3d
Compiler

Compiled 5 to 4 computations (20% saved)

regimes196.0ms (2.1%)

Counts
28 → 5
Calls
Call 1
Inputs
(/.f64 a c)
(/.f64 a d)
(/.f64 b c)
(/.f64 b d)
(/.f64 b (neg.f64 c))
(/.f64 b (neg.f64 d))
(/.f64 (neg.f64 a) c)
(/.f64 (neg.f64 a) d)
(/.f64 1 (/.f64 d b))
(+.f64 (/.f64 b c) (/.f64 a d))
(/.f64 (/.f64 (*.f64 b d) c) c)
(-.f64 (/.f64 b (neg.f64 c)) (/.f64 a d))
(*.f64 b (*.f64 (/.f64 1 c) (/.f64 d c)))
(+.f64 (/.f64 a c) (*.f64 (/.f64 d c) (/.f64 b c)))
(+.f64 (/.f64 a c) (/.f64 (/.f64 (*.f64 b d) c) c))
(/.f64 (*.f64 b d) (+.f64 (*.f64 c c) (*.f64 d d)))
(/.f64 (*.f64 c a) (+.f64 (*.f64 c c) (*.f64 d d)))
(+.f64 (/.f64 a c) (*.f64 b (*.f64 (/.f64 1 c) (/.f64 d c))))
(/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) (+.f64 (*.f64 c c) (*.f64 d d)))
(/.f64 (+.f64 c (*.f64 (/.f64 c a) (*.f64 d (/.f64 b c)))) (*.f64 (/.f64 c a) c))
(*.f64 b (/.f64 d (pow.f64 c 2)))
(*.f64 (/.f64 1 (hypot.f64 c d)) a)
(*.f64 (/.f64 1 (hypot.f64 c d)) b)
(*.f64 (/.f64 1 (hypot.f64 c d)) (neg.f64 a))
(*.f64 (/.f64 1 (hypot.f64 c d)) (neg.f64 b))
(/.f64 1 (*.f64 (/.f64 -1 b) (hypot.f64 c d)))
(+.f64 (/.f64 a c) (*.f64 b (/.f64 d (pow.f64 c 2))))
(+.f64 (/.f64 b d) (*.f64 a (/.f64 c (pow.f64 d 2))))
Outputs
(+.f64 (/.f64 a c) (*.f64 (/.f64 d c) (/.f64 b c)))
(/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) (+.f64 (*.f64 c c) (*.f64 d d)))
(+.f64 (/.f64 b d) (*.f64 a (/.f64 c (pow.f64 d 2))))
(/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) (+.f64 (*.f64 c c) (*.f64 d d)))
(+.f64 (/.f64 a c) (*.f64 (/.f64 d c) (/.f64 b c)))
Calls

3 calls:

71.0ms
c
66.0ms
a
57.0ms
d
Results
AccuracySegmentsBranch
83.1%5c
64.6%4a
78.3%3d
Compiler

Compiled 15 to 12 computations (20% saved)

regimes189.0ms (2%)

Counts
27 → 5
Calls
Call 1
Inputs
(/.f64 a c)
(/.f64 a d)
(/.f64 b c)
(/.f64 b d)
(/.f64 b (neg.f64 c))
(/.f64 b (neg.f64 d))
(/.f64 (neg.f64 a) c)
(/.f64 (neg.f64 a) d)
(/.f64 1 (/.f64 d b))
(+.f64 (/.f64 b c) (/.f64 a d))
(/.f64 (/.f64 (*.f64 b d) c) c)
(-.f64 (/.f64 b (neg.f64 c)) (/.f64 a d))
(*.f64 b (*.f64 (/.f64 1 c) (/.f64 d c)))
(+.f64 (/.f64 a c) (*.f64 (/.f64 d c) (/.f64 b c)))
(+.f64 (/.f64 a c) (/.f64 (/.f64 (*.f64 b d) c) c))
(/.f64 (*.f64 b d) (+.f64 (*.f64 c c) (*.f64 d d)))
(/.f64 (*.f64 c a) (+.f64 (*.f64 c c) (*.f64 d d)))
(+.f64 (/.f64 a c) (*.f64 b (*.f64 (/.f64 1 c) (/.f64 d c))))
(/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) (+.f64 (*.f64 c c) (*.f64 d d)))
(/.f64 (+.f64 c (*.f64 (/.f64 c a) (*.f64 d (/.f64 b c)))) (*.f64 (/.f64 c a) c))
(*.f64 b (/.f64 d (pow.f64 c 2)))
(*.f64 (/.f64 1 (hypot.f64 c d)) a)
(*.f64 (/.f64 1 (hypot.f64 c d)) b)
(*.f64 (/.f64 1 (hypot.f64 c d)) (neg.f64 a))
(*.f64 (/.f64 1 (hypot.f64 c d)) (neg.f64 b))
(/.f64 1 (*.f64 (/.f64 -1 b) (hypot.f64 c d)))
(+.f64 (/.f64 a c) (*.f64 b (/.f64 d (pow.f64 c 2))))
Outputs
(+.f64 (/.f64 a c) (*.f64 (/.f64 d c) (/.f64 b c)))
(/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) (+.f64 (*.f64 c c) (*.f64 d d)))
(/.f64 b d)
(/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) (+.f64 (*.f64 c c) (*.f64 d d)))
(+.f64 (/.f64 a c) (*.f64 (/.f64 d c) (/.f64 b c)))
Calls

4 calls:

65.0ms
c
52.0ms
d
39.0ms
b
31.0ms
(/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) (+.f64 (*.f64 c c) (*.f64 d d)))
Results
AccuracySegmentsBranch
75.6%3d
74.2%4(/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) (+.f64 (*.f64 c c) (*.f64 d d)))
61.4%2b
80.9%5c
Compiler

Compiled 34 to 23 computations (32.4% saved)

regimes69.0ms (0.7%)

Counts
18 → 3
Calls
Call 1
Inputs
(/.f64 a c)
(/.f64 a d)
(/.f64 b c)
(/.f64 b d)
(/.f64 b (neg.f64 c))
(/.f64 b (neg.f64 d))
(/.f64 (neg.f64 a) c)
(/.f64 (neg.f64 a) d)
(/.f64 1 (/.f64 d b))
(+.f64 (/.f64 b c) (/.f64 a d))
(/.f64 (/.f64 (*.f64 b d) c) c)
(-.f64 (/.f64 b (neg.f64 c)) (/.f64 a d))
(*.f64 b (*.f64 (/.f64 1 c) (/.f64 d c)))
(+.f64 (/.f64 a c) (*.f64 (/.f64 d c) (/.f64 b c)))
(+.f64 (/.f64 a c) (/.f64 (/.f64 (*.f64 b d) c) c))
(/.f64 (*.f64 b d) (+.f64 (*.f64 c c) (*.f64 d d)))
(/.f64 (*.f64 c a) (+.f64 (*.f64 c c) (*.f64 d d)))
(+.f64 (/.f64 a c) (*.f64 b (*.f64 (/.f64 1 c) (/.f64 d c))))
Outputs
(/.f64 b d)
(+.f64 (/.f64 a c) (/.f64 (/.f64 (*.f64 b d) c) c))
(/.f64 b d)
Calls

2 calls:

40.0ms
c
28.0ms
d
Results
AccuracySegmentsBranch
75.6%3d
73.5%3c
Compiler

Compiled 10 to 8 computations (20% saved)

regimes25.0ms (0.3%)

Counts
14 → 3
Calls
Call 1
Inputs
(/.f64 a c)
(/.f64 a d)
(/.f64 b c)
(/.f64 b d)
(/.f64 b (neg.f64 c))
(/.f64 b (neg.f64 d))
(/.f64 (neg.f64 a) c)
(/.f64 (neg.f64 a) d)
(/.f64 1 (/.f64 d b))
(+.f64 (/.f64 b c) (/.f64 a d))
(/.f64 (/.f64 (*.f64 b d) c) c)
(-.f64 (/.f64 b (neg.f64 c)) (/.f64 a d))
(*.f64 b (*.f64 (/.f64 1 c) (/.f64 d c)))
(+.f64 (/.f64 a c) (*.f64 (/.f64 d c) (/.f64 b c)))
Outputs
(/.f64 b d)
(+.f64 (/.f64 a c) (*.f64 (/.f64 d c) (/.f64 b c)))
(/.f64 b d)
Calls

1 calls:

24.0ms
d
Results
AccuracySegmentsBranch
74.6%3d
Compiler

Compiled 5 to 4 computations (20% saved)

regimes107.0ms (1.1%)

Counts
13 → 3
Calls
Call 1
Inputs
(/.f64 a c)
(/.f64 a d)
(/.f64 b c)
(/.f64 b d)
(/.f64 b (neg.f64 c))
(/.f64 b (neg.f64 d))
(/.f64 (neg.f64 a) c)
(/.f64 (neg.f64 a) d)
(/.f64 1 (/.f64 d b))
(+.f64 (/.f64 b c) (/.f64 a d))
(/.f64 (/.f64 (*.f64 b d) c) c)
(-.f64 (/.f64 b (neg.f64 c)) (/.f64 a d))
(*.f64 b (*.f64 (/.f64 1 c) (/.f64 d c)))
Outputs
(/.f64 b d)
(/.f64 a c)
(/.f64 b d)
Calls

2 calls:

83.0ms
c
23.0ms
d
Results
AccuracySegmentsBranch
66.4%3c
66.5%3d
Compiler

Compiled 10 to 8 computations (20% saved)

regimes15.0ms (0.2%)

Accuracy

Total -26.4b remaining (-75.1%)

Threshold costs -26.4b (-75.1%)

Counts
3 → 1
Calls
Call 1
Inputs
(/.f64 a c)
(/.f64 a d)
(/.f64 b c)
Outputs
(/.f64 a c)
Calls

4 calls:

4.0ms
c
4.0ms
b
4.0ms
a
4.0ms
d
Results
AccuracySegmentsBranch
45.0%1b
45.0%1a
45.0%1c
45.0%1d
Compiler

Compiled 20 to 16 computations (20% saved)

bsearch0.0ms (0%)

Algorithm
left-value
Steps
TimeLeftRight
0.0ms
+inf
NaN
Compiler

Compiled 26 to 17 computations (34.6% saved)

bsearch163.0ms (1.7%)

Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
147.0ms
1.7838097998067808e+67
9.256396875412217e+70
16.0ms
-2.417300728672495e-21
-1.1552741318443682e-23
Results
157.0ms221×256valid
0.0ms256infinite
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
Compiler

Compiled 520 to 331 computations (36.3% saved)

bsearch34.0ms (0.4%)

Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
17.0ms
1.7838097998067808e+67
9.256396875412217e+70
17.0ms
-2.417300728672495e-21
-1.1552741318443682e-23
Results
29.0ms222×256valid
0.0ms256infinite
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
Compiler

Compiled 506 to 324 computations (36% saved)

bsearch99.0ms (1%)

Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
narrow-enough
narrow-enough
Steps
TimeLeftRight
8.0ms
1.7526562439487643e+112
2.168652772506021e+112
58.0ms
3.991238184952404e-152
4.449207390430673e-151
15.0ms
-3.018742382780056e-106
-1.433244197859042e-107
18.0ms
-5.805686906542476e+71
-1.0418852551803171e+69
Results
87.0ms350×256valid
2.0ms18×256infinite
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
Compiler

Compiled 890 to 558 computations (37.3% saved)

bsearch55.0ms (0.6%)

Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
narrow-enough
narrow-enough
Steps
TimeLeftRight
8.0ms
1.7526562439487643e+112
2.168652772506021e+112
13.0ms
3.991238184952404e-152
4.449207390430673e-151
16.0ms
-3.018742382780056e-106
-1.433244197859042e-107
18.0ms
-5.805686906542476e+71
-1.0418852551803171e+69
Results
45.0ms345×256valid
3.0ms23×256infinite
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
Compiler

Compiled 786 to 493 computations (37.3% saved)

bsearch35.0ms (0.4%)

Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
18.0ms
1.7838097998067808e+67
9.256396875412217e+70
17.0ms
-2.417300728672495e-21
-1.1552741318443682e-23
Results
29.0ms221×256valid
0.0ms256infinite
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
Compiler

Compiled 386 to 257 computations (33.4% saved)

bsearch34.0ms (0.4%)

Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
18.0ms
1.7838097998067808e+67
9.256396875412217e+70
16.0ms
-2.417300728672495e-21
-1.1552741318443682e-23
Results
29.0ms222×256valid
0.0ms256infinite
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
Compiler

Compiled 386 to 257 computations (33.4% saved)

bsearch35.0ms (0.4%)

Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
18.0ms
1.7838097998067808e+67
9.256396875412217e+70
17.0ms
-2.417300728672495e-21
-1.1552741318443682e-23
Results
30.0ms222×256valid
0.0ms256infinite
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
Compiler

Compiled 266 to 197 computations (25.9% saved)

simplify33.0ms (0.3%)

Algorithm
egg-herbie
Rules
30×+-commutative
28×*-commutative
18×sub-neg
18×neg-sub0
16×neg-mul-1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01011405
11261405
21331405
31501405
41671405
51801405
61871405
71891405
Stop Event
fuel
saturated
Calls
Call 1
Inputs
(if (<=.f64 (/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) (+.f64 (*.f64 c c) (*.f64 d d))) +inf.0) (/.f64 (/.f64 (fma.f64 b d (*.f64 a c)) (hypot.f64 c d)) (hypot.f64 c d)) (+.f64 (/.f64 a c) (*.f64 (/.f64 d c) (/.f64 b c))))
(if (<=.f64 d -5316911983139663/2658455991569831745807614120560689152) (/.f64 (*.f64 -1 (+.f64 b (*.f64 a (/.f64 c d)))) (hypot.f64 c d)) (if (<=.f64 d 19000000000000001018918648858612766219271529294930202244204011192320) (+.f64 (/.f64 a c) (/.f64 (/.f64 (*.f64 b d) c) c)) (/.f64 (+.f64 b (*.f64 a (/.f64 c d))) (hypot.f64 c d))))
(if (<=.f64 d -6646139978924579/5316911983139663491615228241121378304) (+.f64 (/.f64 b d) (*.f64 a (/.f64 c (pow.f64 d 2)))) (if (<=.f64 d 19000000000000001018918648858612766219271529294930202244204011192320) (+.f64 (/.f64 a c) (/.f64 (/.f64 (*.f64 b d) c) c)) (/.f64 (+.f64 b (*.f64 a (/.f64 c d))) (hypot.f64 c d))))
(if (<=.f64 c -205000000000000011037705606048771054966599186101764041834385276414197760) (+.f64 (/.f64 a c) (*.f64 (/.f64 d c) (/.f64 b c))) (if (<=.f64 c -309869985370429/20657999024695268717247353376024094994637646342633788102645274852325180976134729557037162826241102651487225375781979947008) (/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) (+.f64 (*.f64 c c) (*.f64 d d))) (if (<=.f64 c 5159714252685701/29484081443918291814387145163970850710288447034503440846689111720668938768688662906922865040450459121417721679927842538279457692421287442441886205089317937841010900992) (+.f64 (/.f64 b d) (*.f64 a (/.f64 c (pow.f64 d 2)))) (if (<=.f64 c 18000000000000000023751046019893964549425020404232852048331327764956675667320609720103369924793988055416262623232) (/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) (+.f64 (*.f64 c c) (*.f64 d d))) (+.f64 (/.f64 a c) (*.f64 (/.f64 d c) (/.f64 b c)))))))
(if (<=.f64 c -88000000000000000252784238111017257668548839447657197610646004947746816) (+.f64 (/.f64 a c) (*.f64 (/.f64 d c) (/.f64 b c))) (if (<=.f64 c -5123183758124427/165263992197562149737978827008192759957101170741070304821162198818601447809077836456297302609928821211897803006255839576064) (/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) (+.f64 (*.f64 c c) (*.f64 d d))) (if (<=.f64 c 4717453031026927/117936325775673167257548580655883402841153788138013763386756446882675755074754651627691460161801836485670886719711370153117830769685149769767544820357271751364043603968) (/.f64 b d) (if (<=.f64 c 17599999999999999880824109269168982066436350650613092140410330101958564878244044538175313318866973874876206546944) (/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) (+.f64 (*.f64 c c) (*.f64 d d))) (+.f64 (/.f64 a c) (*.f64 (/.f64 d c) (/.f64 b c)))))))
(if (<=.f64 d -631383297997835/332306998946228968225951765070086144) (/.f64 b d) (if (<=.f64 d 17999999999999999389946428785165159322916955435750915675903880069120) (+.f64 (/.f64 a c) (/.f64 (/.f64 (*.f64 b d) c) c)) (/.f64 b d)))
(if (<=.f64 d -6114448780610613/2658455991569831745807614120560689152) (/.f64 b d) (if (<=.f64 d 34000000000000001508259123930813457815417837959038506725907193921536) (+.f64 (/.f64 a c) (*.f64 (/.f64 d c) (/.f64 b c))) (/.f64 b d)))
(if (<=.f64 d -6805647338418769/21267647932558653966460912964485513216) (/.f64 b d) (if (<=.f64 d 340000000000000015082591239308134578154178379590385067259071939215360) (/.f64 a c) (/.f64 b d)))
(/.f64 a c)
Outputs
(if (<=.f64 (/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) (+.f64 (*.f64 c c) (*.f64 d d))) +inf.0) (/.f64 (/.f64 (fma.f64 b d (*.f64 a c)) (hypot.f64 c d)) (hypot.f64 c d)) (+.f64 (/.f64 a c) (*.f64 (/.f64 d c) (/.f64 b c))))
(if (<=.f64 d -5316911983139663/2658455991569831745807614120560689152) (/.f64 (*.f64 -1 (+.f64 b (*.f64 a (/.f64 c d)))) (hypot.f64 c d)) (if (<=.f64 d 19000000000000001018918648858612766219271529294930202244204011192320) (+.f64 (/.f64 a c) (/.f64 (/.f64 (*.f64 b d) c) c)) (/.f64 (+.f64 b (*.f64 a (/.f64 c d))) (hypot.f64 c d))))
(if (<=.f64 d -5316911983139663/2658455991569831745807614120560689152) (/.f64 (neg.f64 (+.f64 b (*.f64 a (/.f64 c d)))) (hypot.f64 c d)) (if (<=.f64 d 19000000000000001018918648858612766219271529294930202244204011192320) (+.f64 (/.f64 a c) (/.f64 (/.f64 (*.f64 b d) c) c)) (/.f64 (+.f64 b (*.f64 a (/.f64 c d))) (hypot.f64 c d))))
(if (<=.f64 d -5316911983139663/2658455991569831745807614120560689152) (/.f64 (+.f64 b (*.f64 a (/.f64 c d))) (neg.f64 (hypot.f64 c d))) (if (<=.f64 d 19000000000000001018918648858612766219271529294930202244204011192320) (+.f64 (/.f64 a c) (/.f64 (/.f64 (*.f64 b d) c) c)) (/.f64 (+.f64 b (*.f64 a (/.f64 c d))) (hypot.f64 c d))))
(if (<=.f64 d -6646139978924579/5316911983139663491615228241121378304) (+.f64 (/.f64 b d) (*.f64 a (/.f64 c (pow.f64 d 2)))) (if (<=.f64 d 19000000000000001018918648858612766219271529294930202244204011192320) (+.f64 (/.f64 a c) (/.f64 (/.f64 (*.f64 b d) c) c)) (/.f64 (+.f64 b (*.f64 a (/.f64 c d))) (hypot.f64 c d))))
(if (<=.f64 c -205000000000000011037705606048771054966599186101764041834385276414197760) (+.f64 (/.f64 a c) (*.f64 (/.f64 d c) (/.f64 b c))) (if (<=.f64 c -309869985370429/20657999024695268717247353376024094994637646342633788102645274852325180976134729557037162826241102651487225375781979947008) (/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) (+.f64 (*.f64 c c) (*.f64 d d))) (if (<=.f64 c 5159714252685701/29484081443918291814387145163970850710288447034503440846689111720668938768688662906922865040450459121417721679927842538279457692421287442441886205089317937841010900992) (+.f64 (/.f64 b d) (*.f64 a (/.f64 c (pow.f64 d 2)))) (if (<=.f64 c 18000000000000000023751046019893964549425020404232852048331327764956675667320609720103369924793988055416262623232) (/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) (+.f64 (*.f64 c c) (*.f64 d d))) (+.f64 (/.f64 a c) (*.f64 (/.f64 d c) (/.f64 b c)))))))
(if (<=.f64 c -88000000000000000252784238111017257668548839447657197610646004947746816) (+.f64 (/.f64 a c) (*.f64 (/.f64 d c) (/.f64 b c))) (if (<=.f64 c -5123183758124427/165263992197562149737978827008192759957101170741070304821162198818601447809077836456297302609928821211897803006255839576064) (/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) (+.f64 (*.f64 c c) (*.f64 d d))) (if (<=.f64 c 4717453031026927/117936325775673167257548580655883402841153788138013763386756446882675755074754651627691460161801836485670886719711370153117830769685149769767544820357271751364043603968) (/.f64 b d) (if (<=.f64 c 17599999999999999880824109269168982066436350650613092140410330101958564878244044538175313318866973874876206546944) (/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) (+.f64 (*.f64 c c) (*.f64 d d))) (+.f64 (/.f64 a c) (*.f64 (/.f64 d c) (/.f64 b c)))))))
(if (<=.f64 d -631383297997835/332306998946228968225951765070086144) (/.f64 b d) (if (<=.f64 d 17999999999999999389946428785165159322916955435750915675903880069120) (+.f64 (/.f64 a c) (/.f64 (/.f64 (*.f64 b d) c) c)) (/.f64 b d)))
(if (or (<=.f64 d -631383297997835/332306998946228968225951765070086144) (not (<=.f64 d 17999999999999999389946428785165159322916955435750915675903880069120))) (/.f64 b d) (+.f64 (/.f64 a c) (/.f64 (/.f64 (*.f64 b d) c) c)))
(if (<=.f64 d -6114448780610613/2658455991569831745807614120560689152) (/.f64 b d) (if (<=.f64 d 34000000000000001508259123930813457815417837959038506725907193921536) (+.f64 (/.f64 a c) (*.f64 (/.f64 d c) (/.f64 b c))) (/.f64 b d)))
(if (or (<=.f64 d -6114448780610613/2658455991569831745807614120560689152) (not (<=.f64 d 34000000000000001508259123930813457815417837959038506725907193921536))) (/.f64 b d) (+.f64 (/.f64 a c) (*.f64 (/.f64 d c) (/.f64 b c))))
(if (<=.f64 d -6805647338418769/21267647932558653966460912964485513216) (/.f64 b d) (if (<=.f64 d 340000000000000015082591239308134578154178379590385067259071939215360) (/.f64 a c) (/.f64 b d)))
(if (or (<=.f64 d -6805647338418769/21267647932558653966460912964485513216) (not (<=.f64 d 340000000000000015082591239308134578154178379590385067259071939215360))) (/.f64 b d) (/.f64 a c))
(/.f64 a c)
Compiler

Compiled 376 to 186 computations (50.5% saved)

soundness1.7s (17.6%)

Rules
1434×fma-neg
1434×fma-neg
1384×fma-define
1384×unswap-sqr
1384×fma-define
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01883
125478
2354378
032319
1504300
27347300
02968523
17538049
227098025
032319
1504300
27347300
031381
1539347
02968523
17538049
227098025
070926654
1198324236
2790524230
070926654
1198324236
2790524230
Stop Event
node limit
node limit
node limit
node limit
node limit
node limit
node limit
node limit
Compiler

Compiled 535 to 176 computations (67.1% saved)

end0.0ms (0%)

preprocess112.0ms (1.2%)

Compiler

Compiled 806 to 262 computations (67.5% saved)

Profiling

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