Complex division, real part

Time bar (total: 10.9s)

analyze25.0ms (0.2%)

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)

sample1.2s (10.8%)

Results
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Bogosity

preprocess313.0ms (2.9%)

Algorithm
egg-herbie
Rules
1866×fma-def
1262×div-sub
904×fma-neg
798×sub-neg
588×distribute-rgt-in
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
1160-1(-2.830323264699181e+248 -1.663495165068583e+95 -1.3547713408535311e-271 -2.6855437899756545e-161)(/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) (+.f64 (*.f64 c c) (*.f64 d d)))
20-0-(+.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
1153976
2253976
3464976
41094976
53111976
64739976
75969976
87107976
97344976
107457976
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 (fma.f64 a c (*.f64 b d)) (fma.f64 d d (*.f64 c c)))
(/.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 (fma.f64 a c (*.f64 b d)) (fma.f64 d d (*.f64 c c)))
(/.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 b d) (*.f64 a c)) (fma.f64 d d (*.f64 c c)))
(/.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 c) (*.f64 b d)) (fma.f64 d d (*.f64 c c)))
(/.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 b d) (*.f64 a c)) (fma.f64 d d (*.f64 c c)))
(/.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)))
(/.f64 (-.f64 (*.f64 a c) (*.f64 b d)) (fma.f64 d d (*.f64 c c)))
(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)))
(/.f64 (-.f64 (*.f64 a c) (*.f64 b d)) (fma.f64 d d (*.f64 c c)))
(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)))
(/.f64 (-.f64 (*.f64 b d) (*.f64 a c)) (fma.f64 d d (*.f64 c c)))
(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)))
(/.f64 (-.f64 (*.f64 a c) (*.f64 b d)) (fma.f64 d d (*.f64 c c)))
(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 d) (*.f64 a c)) (fma.f64 d d (*.f64 c c)))
(/.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 (fma.f64 a d (*.f64 c b)) (fma.f64 d d (*.f64 c c)))
(/.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)))
(/.f64 (fma.f64 a d (*.f64 c b)) (fma.f64 d d (*.f64 c c)))
Compiler

Compiled 119 to 35 computations (70.6% saved)

eval0.0ms (0%)

Compiler

Compiled 30 to 12 computations (60% saved)

prune1.0ms (0%)

Alt Table
Click to see full alt table
StatusAccuracyProgram
56.5%
(/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) (+.f64 (*.f64 c c) (*.f64 d d)))
Compiler

Compiled 19 to 11 computations (42.1% saved)

localize42.0ms (0.4%)

Localize:

Found 2 expressions with local error:

NewAccuracyProgram
99.2%
(+.f64 (*.f64 a c) (*.f64 b d))
56.8%
(/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) (+.f64 (*.f64 c c) (*.f64 d d)))
Compiler

Compiled 50 to 12 computations (76% saved)

series11.0ms (0.1%)

Counts
2 → 60
Calls

24 calls:

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

rewrite224.0ms (2.1%)

Algorithm
batch-egg-rewrite
Rules
1110×fma-def
818×log1p-expm1-u
818×expm1-log1p-u
436×expm1-udef
436×log1p-udef
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01883
125478
2352078
Stop Event
node limit
Counts
2 → 100
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))) (/.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))) (/.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))))
(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))))
(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))
(log1p.f64 (expm1.f64 (/.f64 (fma.f64 a c (*.f64 b d)) (pow.f64 (hypot.f64 c d) 2))))
(-.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))))
(exp.f64 (log.f64 (fma.f64 a c (*.f64 b d))))
(exp.f64 (*.f64 (log.f64 (fma.f64 a c (*.f64 b d))) 1))
(log1p.f64 (expm1.f64 (fma.f64 a c (*.f64 b d))))
(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))

simplify104.0ms (1%)

Algorithm
egg-herbie
Rules
1374×unswap-sqr
1298×fma-def
894×distribute-lft-in
508×cancel-sign-sub-inv
422×log-prod
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
02928338
17268218
226918050
Stop Event
node limit
Counts
160 → 158
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))) (/.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))) (/.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))))
(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))))
(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))
(log1p.f64 (expm1.f64 (/.f64 (fma.f64 a c (*.f64 b d)) (pow.f64 (hypot.f64 c d) 2))))
(-.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))))
(exp.f64 (log.f64 (fma.f64 a c (*.f64 b d))))
(exp.f64 (*.f64 (log.f64 (fma.f64 a c (*.f64 b d))) 1))
(log1p.f64 (expm1.f64 (fma.f64 a c (*.f64 b d))))
(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 (/.f64 b (fma.f64 d d (pow.f64 c 2))) d)
(/.f64 d (/.f64 (fma.f64 d d (pow.f64 c 2)) b))
(+.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 a (/.f64 (+.f64 (pow.f64 c 2) (pow.f64 d 2)) c)))
(+.f64 (*.f64 (/.f64 b (fma.f64 d d (pow.f64 c 2))) d) (*.f64 (/.f64 a (fma.f64 d d (pow.f64 c 2))) c))
(fma.f64 (/.f64 a (fma.f64 d d (pow.f64 c 2))) c (/.f64 d (/.f64 (fma.f64 d d (pow.f64 c 2)) b)))
(+.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 a (/.f64 (+.f64 (pow.f64 c 2) (pow.f64 d 2)) c)))
(+.f64 (*.f64 (/.f64 b (fma.f64 d d (pow.f64 c 2))) d) (*.f64 (/.f64 a (fma.f64 d d (pow.f64 c 2))) c))
(fma.f64 (/.f64 a (fma.f64 d d (pow.f64 c 2))) c (/.f64 d (/.f64 (fma.f64 d d (pow.f64 c 2)) b)))
(+.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 a (/.f64 (+.f64 (pow.f64 c 2) (pow.f64 d 2)) c)))
(+.f64 (*.f64 (/.f64 b (fma.f64 d d (pow.f64 c 2))) d) (*.f64 (/.f64 a (fma.f64 d d (pow.f64 c 2))) c))
(fma.f64 (/.f64 a (fma.f64 d d (pow.f64 c 2))) c (/.f64 d (/.f64 (fma.f64 d d (pow.f64 c 2)) b)))
(/.f64 (*.f64 a c) (+.f64 (pow.f64 c 2) (pow.f64 d 2)))
(/.f64 a (/.f64 (+.f64 (pow.f64 c 2) (pow.f64 d 2)) c))
(*.f64 (/.f64 a (fma.f64 d d (pow.f64 c 2))) c)
(+.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 a (/.f64 (+.f64 (pow.f64 c 2) (pow.f64 d 2)) c)))
(+.f64 (*.f64 (/.f64 b (fma.f64 d d (pow.f64 c 2))) d) (*.f64 (/.f64 a (fma.f64 d d (pow.f64 c 2))) c))
(fma.f64 (/.f64 a (fma.f64 d d (pow.f64 c 2))) c (/.f64 d (/.f64 (fma.f64 d d (pow.f64 c 2)) b)))
(+.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 a (/.f64 (+.f64 (pow.f64 c 2) (pow.f64 d 2)) c)))
(+.f64 (*.f64 (/.f64 b (fma.f64 d d (pow.f64 c 2))) d) (*.f64 (/.f64 a (fma.f64 d d (pow.f64 c 2))) c))
(fma.f64 (/.f64 a (fma.f64 d d (pow.f64 c 2))) c (/.f64 d (/.f64 (fma.f64 d d (pow.f64 c 2)) b)))
(+.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 a (/.f64 (+.f64 (pow.f64 c 2) (pow.f64 d 2)) c)))
(+.f64 (*.f64 (/.f64 b (fma.f64 d d (pow.f64 c 2))) d) (*.f64 (/.f64 a (fma.f64 d d (pow.f64 c 2))) c))
(fma.f64 (/.f64 a (fma.f64 d d (pow.f64 c 2))) c (/.f64 d (/.f64 (fma.f64 d d (pow.f64 c 2)) b)))
(/.f64 (*.f64 a c) (+.f64 (pow.f64 c 2) (pow.f64 d 2)))
(/.f64 a (/.f64 (+.f64 (pow.f64 c 2) (pow.f64 d 2)) c))
(*.f64 (/.f64 a (fma.f64 d d (pow.f64 c 2))) c)
(+.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 a (/.f64 (+.f64 (pow.f64 c 2) (pow.f64 d 2)) c)))
(+.f64 (*.f64 (/.f64 b (fma.f64 d d (pow.f64 c 2))) d) (*.f64 (/.f64 a (fma.f64 d d (pow.f64 c 2))) c))
(fma.f64 (/.f64 a (fma.f64 d d (pow.f64 c 2))) c (/.f64 d (/.f64 (fma.f64 d d (pow.f64 c 2)) b)))
(+.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 a (/.f64 (+.f64 (pow.f64 c 2) (pow.f64 d 2)) c)))
(+.f64 (*.f64 (/.f64 b (fma.f64 d d (pow.f64 c 2))) d) (*.f64 (/.f64 a (fma.f64 d d (pow.f64 c 2))) c))
(fma.f64 (/.f64 a (fma.f64 d d (pow.f64 c 2))) c (/.f64 d (/.f64 (fma.f64 d d (pow.f64 c 2)) b)))
(+.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 a (/.f64 (+.f64 (pow.f64 c 2) (pow.f64 d 2)) c)))
(+.f64 (*.f64 (/.f64 b (fma.f64 d d (pow.f64 c 2))) d) (*.f64 (/.f64 a (fma.f64 d d (pow.f64 c 2))) c))
(fma.f64 (/.f64 a (fma.f64 d d (pow.f64 c 2))) c (/.f64 d (/.f64 (fma.f64 d d (pow.f64 c 2)) b)))
(/.f64 b d)
(+.f64 (/.f64 b d) (/.f64 (*.f64 a c) (pow.f64 d 2)))
(+.f64 (/.f64 b d) (/.f64 a (/.f64 (pow.f64 d 2) c)))
(+.f64 (/.f64 b d) (*.f64 (/.f64 a (pow.f64 d 2)) c))
(fma.f64 (/.f64 a (pow.f64 d 2)) c (/.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 d 3) (pow.f64 c 2))) (+.f64 (/.f64 b d) (/.f64 a (/.f64 (pow.f64 d 2) c))))
(-.f64 (+.f64 (/.f64 b d) (*.f64 (/.f64 a (pow.f64 d 2)) c)) (/.f64 (pow.f64 c 2) (/.f64 (pow.f64 d 3) b)))
(-.f64 (fma.f64 (/.f64 a (pow.f64 d 2)) c (/.f64 b d)) (/.f64 b (/.f64 (pow.f64 d 3) (pow.f64 c 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)))))
(fma.f64 -1 (/.f64 (*.f64 a (pow.f64 c 3)) (pow.f64 d 4)) (fma.f64 -1 (/.f64 b (/.f64 (pow.f64 d 3) (pow.f64 c 2))) (+.f64 (/.f64 b d) (/.f64 a (/.f64 (pow.f64 d 2) c)))))
(-.f64 (-.f64 (+.f64 (/.f64 b d) (*.f64 (/.f64 a (pow.f64 d 2)) c)) (/.f64 (pow.f64 c 2) (/.f64 (pow.f64 d 3) b))) (*.f64 (/.f64 a (pow.f64 d 4)) (pow.f64 c 3)))
(-.f64 (fma.f64 (/.f64 a (pow.f64 d 2)) c (/.f64 b d)) (fma.f64 (/.f64 a (pow.f64 d 4)) (pow.f64 c 3) (/.f64 b (/.f64 (pow.f64 d 3) (pow.f64 c 2)))))
(/.f64 a c)
(+.f64 (/.f64 a c) (/.f64 (*.f64 b d) (pow.f64 c 2)))
(+.f64 (/.f64 a c) (/.f64 b (/.f64 (pow.f64 c 2) d)))
(fma.f64 (/.f64 b (pow.f64 c 2)) d (/.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 (pow.f64 c 2) d))))
(-.f64 (+.f64 (/.f64 a c) (/.f64 b (/.f64 (pow.f64 c 2) d))) (*.f64 (/.f64 a (pow.f64 c 3)) (pow.f64 d 2)))
(-.f64 (fma.f64 (/.f64 b (pow.f64 c 2)) d (/.f64 a c)) (*.f64 (/.f64 a (pow.f64 c 3)) (pow.f64 d 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)))))
(fma.f64 -1 (/.f64 (*.f64 (pow.f64 d 2) a) (pow.f64 c 3)) (fma.f64 -1 (/.f64 b (/.f64 (pow.f64 c 4) (pow.f64 d 3))) (+.f64 (/.f64 a c) (/.f64 b (/.f64 (pow.f64 c 2) d)))))
(-.f64 (-.f64 (+.f64 (/.f64 a c) (/.f64 b (/.f64 (pow.f64 c 2) d))) (*.f64 (/.f64 b (pow.f64 c 4)) (pow.f64 d 3))) (*.f64 (/.f64 a (pow.f64 c 3)) (pow.f64 d 2)))
(-.f64 (fma.f64 (/.f64 b (pow.f64 c 2)) d (/.f64 a c)) (fma.f64 (/.f64 a (pow.f64 c 3)) (pow.f64 d 2) (*.f64 (/.f64 b (pow.f64 c 4)) (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 (pow.f64 c 2) d)))
(fma.f64 (/.f64 b (pow.f64 c 2)) d (/.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 (pow.f64 c 2) d))))
(-.f64 (+.f64 (/.f64 a c) (/.f64 b (/.f64 (pow.f64 c 2) d))) (*.f64 (/.f64 a (pow.f64 c 3)) (pow.f64 d 2)))
(-.f64 (fma.f64 (/.f64 b (pow.f64 c 2)) d (/.f64 a c)) (*.f64 (/.f64 a (pow.f64 c 3)) (pow.f64 d 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)))))
(fma.f64 -1 (/.f64 (*.f64 (pow.f64 d 2) a) (pow.f64 c 3)) (fma.f64 -1 (/.f64 b (/.f64 (pow.f64 c 4) (pow.f64 d 3))) (+.f64 (/.f64 a c) (/.f64 b (/.f64 (pow.f64 c 2) d)))))
(-.f64 (-.f64 (+.f64 (/.f64 a c) (/.f64 b (/.f64 (pow.f64 c 2) d))) (*.f64 (/.f64 b (pow.f64 c 4)) (pow.f64 d 3))) (*.f64 (/.f64 a (pow.f64 c 3)) (pow.f64 d 2)))
(-.f64 (fma.f64 (/.f64 b (pow.f64 c 2)) d (/.f64 a c)) (fma.f64 (/.f64 a (pow.f64 c 3)) (pow.f64 d 2) (*.f64 (/.f64 b (pow.f64 c 4)) (pow.f64 d 3))))
(/.f64 (*.f64 a c) (+.f64 (pow.f64 c 2) (pow.f64 d 2)))
(/.f64 a (/.f64 (+.f64 (pow.f64 c 2) (pow.f64 d 2)) c))
(*.f64 (/.f64 a (fma.f64 d d (pow.f64 c 2))) c)
(+.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 a (/.f64 (+.f64 (pow.f64 c 2) (pow.f64 d 2)) c)))
(+.f64 (*.f64 (/.f64 b (fma.f64 d d (pow.f64 c 2))) d) (*.f64 (/.f64 a (fma.f64 d d (pow.f64 c 2))) c))
(fma.f64 (/.f64 a (fma.f64 d d (pow.f64 c 2))) c (/.f64 d (/.f64 (fma.f64 d d (pow.f64 c 2)) b)))
(+.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 a (/.f64 (+.f64 (pow.f64 c 2) (pow.f64 d 2)) c)))
(+.f64 (*.f64 (/.f64 b (fma.f64 d d (pow.f64 c 2))) d) (*.f64 (/.f64 a (fma.f64 d d (pow.f64 c 2))) c))
(fma.f64 (/.f64 a (fma.f64 d d (pow.f64 c 2))) c (/.f64 d (/.f64 (fma.f64 d d (pow.f64 c 2)) b)))
(+.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 a (/.f64 (+.f64 (pow.f64 c 2) (pow.f64 d 2)) c)))
(+.f64 (*.f64 (/.f64 b (fma.f64 d d (pow.f64 c 2))) d) (*.f64 (/.f64 a (fma.f64 d d (pow.f64 c 2))) c))
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(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))

eval38.0ms (0.3%)

Compiler

Compiled 3233 to 1170 computations (63.8% saved)

prune35.0ms (0.3%)

Pruning

14 alts after pruning (13 fresh and 1 done)

PrunedKeptTotal
New14513158
Fresh000
Picked011
Done000
Total14514159
Accuracy
96.3%
Counts
159 → 14
Alt Table
Click to see full alt table
StatusAccuracyProgram
42.1%
(/.f64 (/.f64 (-.f64 (pow.f64 (*.f64 b d) 2) (pow.f64 (*.f64 a c) 2)) (-.f64 (*.f64 b d) (*.f64 a c))) (+.f64 (*.f64 c c) (*.f64 d d)))
56.5%
(/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) (+.f64 (*.f64 c c) (*.f64 d d)))
38.0%
(/.f64 (*.f64 c a) (+.f64 (*.f64 c c) (*.f64 d d)))
37.6%
(/.f64 (*.f64 b d) (+.f64 (*.f64 c c) (*.f64 d d)))
46.1%
(/.f64 b d)
40.3%
(/.f64 a (/.f64 (+.f64 (pow.f64 c 2) (pow.f64 d 2)) c))
43.1%
(/.f64 a c)
49.7%
(+.f64 (/.f64 b d) (/.f64 a (/.f64 (pow.f64 d 2) c)))
47.5%
(+.f64 (/.f64 b d) (*.f64 (/.f64 a (pow.f64 d 2)) c))
46.9%
(+.f64 (/.f64 a c) (/.f64 b (/.f64 (pow.f64 c 2) d)))
55.2%
(+.f64 (*.f64 (/.f64 b (fma.f64 d d (pow.f64 c 2))) d) (*.f64 (/.f64 a (fma.f64 d d (pow.f64 c 2))) c))
72.5%
(*.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)))
37.0%
(*.f64 (/.f64 a (fma.f64 d d (pow.f64 c 2))) c)
73.3%
(*.f64 (/.f64 1 (hypot.f64 c d)) (/.f64 (fma.f64 a c (*.f64 b d)) (hypot.f64 c d)))
Compiler

Compiled 465 to 279 computations (40% saved)

localize187.0ms (1.7%)

Localize:

Found 12 expressions with local error:

NewAccuracyProgram
98.0%
(-.f64 (*.f64 b d) (*.f64 a c))
91.8%
(-.f64 (pow.f64 (*.f64 b d) 2) (pow.f64 (*.f64 a c) 2))
56.8%
(/.f64 (/.f64 (-.f64 (pow.f64 (*.f64 b d) 2) (pow.f64 (*.f64 a c) 2)) (-.f64 (*.f64 b d) (*.f64 a c))) (+.f64 (*.f64 c c) (*.f64 d d)))
46.9%
(/.f64 (-.f64 (pow.f64 (*.f64 b d) 2) (pow.f64 (*.f64 a c) 2)) (-.f64 (*.f64 b d) (*.f64 a c)))
98.7%
(+.f64 (/.f64 b d) (/.f64 a (/.f64 (pow.f64 d 2) c)))
89.9%
(/.f64 a (/.f64 (pow.f64 d 2) c))
83.9%
(/.f64 (pow.f64 d 2) c)
71.0%
(/.f64 (*.f64 c a) (+.f64 (*.f64 c c) (*.f64 d d)))
100.0%
(/.f64 1 (hypot.f64 c d))
99.6%
(*.f64 (/.f64 1 (hypot.f64 c d)) (/.f64 (fma.f64 a c (*.f64 b d)) (hypot.f64 c d)))
99.6%
(fma.f64 a c (*.f64 b d))
74.2%
(/.f64 (fma.f64 a c (*.f64 b d)) (hypot.f64 c d))
Compiler

Compiled 220 to 62 computations (71.8% saved)

series58.0ms (0.5%)

Counts
12 → 480
Calls

126 calls:

TimeVariablePointExpression
3.0ms
a
@-inf
(/.f64 (*.f64 c a) (+.f64 (*.f64 c c) (*.f64 d d)))
2.0ms
c
@0
(/.f64 (pow.f64 d 2) c)
2.0ms
c
@0
(/.f64 (fma.f64 a c (*.f64 b d)) (hypot.f64 c d))
1.0ms
a
@0
(/.f64 (fma.f64 a c (*.f64 b d)) (hypot.f64 c d))
1.0ms
d
@0
(/.f64 (-.f64 (pow.f64 (*.f64 b d) 2) (pow.f64 (*.f64 a c) 2)) (-.f64 (*.f64 b d) (*.f64 a c)))

rewrite152.0ms (1.4%)

Algorithm
batch-egg-rewrite
Rules
400×times-frac
302×frac-times
296×log1p-expm1-u
296×expm1-log1p-u
285×add-cube-cbrt
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
037543
1671524
Stop Event
node limit
Counts
12 → 390
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 1 (hypot.f64 c d))
(/.f64 (*.f64 c a) (+.f64 (*.f64 c c) (*.f64 d d)))
(/.f64 (pow.f64 d 2) c)
(/.f64 a (/.f64 (pow.f64 d 2) c))
(+.f64 (/.f64 b d) (/.f64 a (/.f64 (pow.f64 d 2) c)))
(/.f64 (-.f64 (pow.f64 (*.f64 b d) 2) (pow.f64 (*.f64 a c) 2)) (-.f64 (*.f64 b d) (*.f64 a c)))
(/.f64 (/.f64 (-.f64 (pow.f64 (*.f64 b d) 2) (pow.f64 (*.f64 a c) 2)) (-.f64 (*.f64 b d) (*.f64 a c))) (+.f64 (*.f64 c c) (*.f64 d d)))
(-.f64 (pow.f64 (*.f64 b d) 2) (pow.f64 (*.f64 a c) 2))
(-.f64 (*.f64 b d) (*.f64 a c))
Outputs
(-.f64 (exp.f64 (log1p.f64 (/.f64 (fma.f64 a c (*.f64 b d)) (hypot.f64 c d)))) 1)
(*.f64 (fma.f64 a c (*.f64 b d)) (/.f64 1 (hypot.f64 c d)))
(*.f64 1 (/.f64 (fma.f64 a c (*.f64 b d)) (hypot.f64 c d)))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (fma.f64 a c (*.f64 b d)) (hypot.f64 c d))) 2) (cbrt.f64 (/.f64 (fma.f64 a c (*.f64 b d)) (hypot.f64 c d))))
(*.f64 (pow.f64 (hypot.f64 c d) -1/2) (/.f64 (fma.f64 a c (*.f64 b d)) (sqrt.f64 (hypot.f64 c d))))
(*.f64 (sqrt.f64 (/.f64 (fma.f64 a c (*.f64 b d)) (hypot.f64 c d))) (sqrt.f64 (/.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))) (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))) (hypot.f64 c d)))
(*.f64 (/.f64 (sqrt.f64 (fma.f64 a c (*.f64 b d))) (pow.f64 (cbrt.f64 (hypot.f64 c d)) 2)) (/.f64 (sqrt.f64 (fma.f64 a c (*.f64 b d))) (cbrt.f64 (hypot.f64 c d))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (hypot.f64 c d)) 2)) (/.f64 (fma.f64 a c (*.f64 b d)) (cbrt.f64 (hypot.f64 c d))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 a c (*.f64 b d))) 2) (pow.f64 (cbrt.f64 (hypot.f64 c d)) 2)) (cbrt.f64 (/.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) (sqrt.f64 (hypot.f64 c d))) (/.f64 (cbrt.f64 (fma.f64 a c (*.f64 b d))) (sqrt.f64 (hypot.f64 c d))))
(pow.f64 (/.f64 (fma.f64 a c (*.f64 b d)) (hypot.f64 c d)) 1)
(pow.f64 (cbrt.f64 (/.f64 (fma.f64 a c (*.f64 b d)) (hypot.f64 c d))) 3)
(pow.f64 (pow.f64 (/.f64 (fma.f64 a c (*.f64 b d)) (hypot.f64 c d)) 3) 1/3)
(pow.f64 (sqrt.f64 (/.f64 (fma.f64 a c (*.f64 b d)) (hypot.f64 c d))) 2)
(pow.f64 (/.f64 (hypot.f64 c d) (fma.f64 a c (*.f64 b d))) -1)
(sqrt.f64 (pow.f64 (/.f64 (fma.f64 a c (*.f64 b d)) (hypot.f64 c d)) 2))
(log.f64 (exp.f64 (/.f64 (fma.f64 a c (*.f64 b d)) (hypot.f64 c d))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (fma.f64 a c (*.f64 b d)) (hypot.f64 c d)))))
(cbrt.f64 (pow.f64 (/.f64 (fma.f64 a c (*.f64 b d)) (hypot.f64 c d)) 3))
(cbrt.f64 (*.f64 (pow.f64 (fma.f64 a c (*.f64 b d)) 3) (pow.f64 (/.f64 1 (hypot.f64 c d)) 3)))
(cbrt.f64 (/.f64 (pow.f64 (fma.f64 a c (*.f64 b d)) 3) (pow.f64 (hypot.f64 c d) 3)))
(expm1.f64 (log1p.f64 (/.f64 (fma.f64 a c (*.f64 b d)) (hypot.f64 c d))))
(exp.f64 (log.f64 (/.f64 (fma.f64 a c (*.f64 b d)) (hypot.f64 c d))))
(exp.f64 (*.f64 (log.f64 (/.f64 (fma.f64 a c (*.f64 b d)) (hypot.f64 c d))) 1))
(log1p.f64 (expm1.f64 (/.f64 (fma.f64 a c (*.f64 b d)) (hypot.f64 c d))))
(+.f64 (*.f64 a c) (*.f64 b d))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 a c (*.f64 b d)))) 1)
(*.f64 1 (fma.f64 a c (*.f64 b d)))
(*.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 (pow.f64 (*.f64 a c) 2) (-.f64 (pow.f64 (*.f64 b d) 2) (*.f64 (*.f64 a c) (*.f64 b d)))))
(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)))))
(cbrt.f64 (pow.f64 (fma.f64 a c (*.f64 b d)) 3))
(expm1.f64 (log1p.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))
(log1p.f64 (expm1.f64 (fma.f64 a c (*.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)) (pow.f64 (hypot.f64 c d) 2))
(/.f64 (fma.f64 a c (*.f64 b d)) (*.f64 (/.f64 (hypot.f64 c d) 1) (hypot.f64 c d)))
(/.f64 (/.f64 (fma.f64 a c (*.f64 b d)) (hypot.f64 c d)) (hypot.f64 c d))
(/.f64 1 (*.f64 (hypot.f64 c d) (/.f64 (hypot.f64 c d) (fma.f64 a c (*.f64 b d)))))
(/.f64 1 (*.f64 (/.f64 (hypot.f64 c d) (fma.f64 a c (*.f64 b d))) (hypot.f64 c d)))
(/.f64 1 (*.f64 (/.f64 (hypot.f64 c d) (fma.f64 a c (*.f64 b d))) (/.f64 (hypot.f64 c d) 1)))
(/.f64 1 (*.f64 (/.f64 (hypot.f64 c d) 1) (/.f64 (hypot.f64 c d) (fma.f64 a c (*.f64 b d)))))
(/.f64 -1 (*.f64 (/.f64 (hypot.f64 c d) (fma.f64 a c (*.f64 b d))) (neg.f64 (hypot.f64 c d))))
(/.f64 -1 (*.f64 (neg.f64 (hypot.f64 c d)) (/.f64 (hypot.f64 c d) (fma.f64 a c (*.f64 b d)))))
(/.f64 (neg.f64 (fma.f64 a c (*.f64 b d))) (neg.f64 (pow.f64 (hypot.f64 c d) 2)))
(/.f64 (neg.f64 (fma.f64 a c (*.f64 b d))) (*.f64 (hypot.f64 c d) (neg.f64 (hypot.f64 c d))))
(/.f64 (neg.f64 (fma.f64 a c (*.f64 b d))) (*.f64 (/.f64 (hypot.f64 c d) 1) (neg.f64 (hypot.f64 c d))))
(/.f64 (*.f64 (/.f64 1 (hypot.f64 c d)) (fma.f64 a c (*.f64 b d))) (hypot.f64 c d))
(/.f64 (*.f64 (fma.f64 a c (*.f64 b d)) 1) (pow.f64 (hypot.f64 c d) 2))
(/.f64 (*.f64 (fma.f64 a c (*.f64 b d)) 1) (*.f64 (hypot.f64 c d) (/.f64 (hypot.f64 c d) 1)))
(/.f64 (*.f64 (neg.f64 (fma.f64 a c (*.f64 b d))) 1) (*.f64 (neg.f64 (hypot.f64 c d)) (hypot.f64 c d)))
(/.f64 (*.f64 (neg.f64 (fma.f64 a c (*.f64 b d))) 1) (*.f64 (neg.f64 (hypot.f64 c d)) (/.f64 (hypot.f64 c d) 1)))
(/.f64 (*.f64 (fma.f64 a c (*.f64 b d)) -1) (*.f64 (hypot.f64 c d) (neg.f64 (hypot.f64 c d))))
(/.f64 (*.f64 (neg.f64 (fma.f64 a c (*.f64 b d))) -1) (*.f64 (neg.f64 (hypot.f64 c d)) (neg.f64 (hypot.f64 c d))))
(/.f64 (*.f64 -1 (fma.f64 a c (*.f64 b d))) (*.f64 (neg.f64 (hypot.f64 c d)) (hypot.f64 c d)))
(/.f64 (*.f64 -1 (neg.f64 (fma.f64 a c (*.f64 b d)))) (*.f64 (neg.f64 (hypot.f64 c d)) (neg.f64 (hypot.f64 c d))))
(/.f64 (neg.f64 (/.f64 (fma.f64 a c (*.f64 b d)) (hypot.f64 c d))) (neg.f64 (hypot.f64 c d)))
(/.f64 (neg.f64 (*.f64 (/.f64 1 (hypot.f64 c d)) (fma.f64 a c (*.f64 b d)))) (neg.f64 (hypot.f64 c d)))
(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)
(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 (/.f64 (fma.f64 a c (*.f64 b d)) (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 a c (*.f64 b d)) (hypot.f64 c d)) 3)))
(cbrt.f64 (/.f64 (pow.f64 (fma.f64 a c (*.f64 b d)) 3) (pow.f64 (pow.f64 (hypot.f64 c d) 2) 3)))
(cbrt.f64 (/.f64 (pow.f64 (/.f64 (fma.f64 a c (*.f64 b d)) (hypot.f64 c d)) 3) (pow.f64 (hypot.f64 c d) 3)))
(expm1.f64 (log1p.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))
(log1p.f64 (expm1.f64 (/.f64 (fma.f64 a c (*.f64 b d)) (pow.f64 (hypot.f64 c d) 2))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 1 (hypot.f64 c d)))) 1)
(*.f64 1 (/.f64 1 (hypot.f64 c d)))
(*.f64 (cbrt.f64 (pow.f64 (hypot.f64 c d) -2)) (/.f64 1 (cbrt.f64 (hypot.f64 c d))))
(*.f64 (pow.f64 (hypot.f64 c d) -1/2) (pow.f64 (hypot.f64 c d) -1/2))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (hypot.f64 c d)) 2) -1) (pow.f64 (cbrt.f64 (hypot.f64 c d)) -1))
(*.f64 (pow.f64 (sqrt.f64 (hypot.f64 c d)) -1) (pow.f64 (sqrt.f64 (hypot.f64 c d)) -1))
(pow.f64 (hypot.f64 c d) -1)
(pow.f64 (/.f64 1 (hypot.f64 c d)) 1)
(pow.f64 (pow.f64 (hypot.f64 c d) 2) -1/2)
(pow.f64 (/.f64 1 (cbrt.f64 (hypot.f64 c d))) 3)
(pow.f64 (pow.f64 (/.f64 1 (hypot.f64 c d)) 3) 1/3)
(pow.f64 (pow.f64 (hypot.f64 c d) -1/2) 2)
(pow.f64 (/.f64 (hypot.f64 c d) 1) -1)
(sqrt.f64 (pow.f64 (hypot.f64 c d) -2))
(log.f64 (exp.f64 (/.f64 1 (hypot.f64 c d))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (hypot.f64 c d)))))
(cbrt.f64 (pow.f64 (/.f64 1 (hypot.f64 c d)) 3))
(expm1.f64 (log1p.f64 (/.f64 1 (hypot.f64 c d))))
(exp.f64 (neg.f64 (log.f64 (hypot.f64 c d))))
(exp.f64 (*.f64 (log.f64 (hypot.f64 c d)) -1))
(exp.f64 (*.f64 (neg.f64 (log.f64 (hypot.f64 c d))) 1))
(log1p.f64 (expm1.f64 (/.f64 1 (hypot.f64 c d))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (*.f64 a c) (pow.f64 (hypot.f64 c d) -2)))) 1)
(*.f64 1 (*.f64 (*.f64 a c) (pow.f64 (hypot.f64 c d) -2)))
(*.f64 (/.f64 1 (hypot.f64 c d)) (/.f64 (*.f64 a c) (hypot.f64 c d)))
(*.f64 (*.f64 a c) (pow.f64 (hypot.f64 c d) -2))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 (*.f64 a c) (pow.f64 (hypot.f64 c d) -2))) 2) (cbrt.f64 (*.f64 (*.f64 a c) (pow.f64 (hypot.f64 c d) -2))))
(*.f64 (/.f64 (sqrt.f64 (*.f64 a c)) (hypot.f64 c d)) (/.f64 (sqrt.f64 (*.f64 a c)) (hypot.f64 c d)))
(*.f64 (/.f64 a (hypot.f64 c d)) (/.f64 c (hypot.f64 c d)))
(*.f64 (/.f64 c (hypot.f64 c d)) (/.f64 a (hypot.f64 c d)))
(*.f64 (/.f64 a 1) (/.f64 c (pow.f64 (hypot.f64 c d) 2)))
(*.f64 (/.f64 a (pow.f64 (pow.f64 (cbrt.f64 (hypot.f64 c d)) 2) 2)) (/.f64 c (pow.f64 (cbrt.f64 (hypot.f64 c d)) 2)))
(*.f64 (/.f64 c 1) (/.f64 a (pow.f64 (hypot.f64 c d) 2)))
(*.f64 (/.f64 c (pow.f64 (pow.f64 (cbrt.f64 (hypot.f64 c d)) 2) 2)) (/.f64 a (pow.f64 (cbrt.f64 (hypot.f64 c d)) 2)))
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(pow.f64 (/.f64 (sqrt.f64 (/.f64 (-.f64 (pow.f64 (*.f64 b d) 2) (pow.f64 (*.f64 a c) 2)) (-.f64 (*.f64 b d) (*.f64 a c)))) (hypot.f64 c d)) 2)
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(+.f64 (fma.f64 d b (neg.f64 (*.f64 (cbrt.f64 (*.f64 a c)) (pow.f64 (cbrt.f64 (*.f64 a c)) 2)))) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 a c))) (pow.f64 (cbrt.f64 (*.f64 a c)) 2) (*.f64 (cbrt.f64 (*.f64 a c)) (pow.f64 (cbrt.f64 (*.f64 a c)) 2))))
(+.f64 (fma.f64 1 (*.f64 b d) (neg.f64 (*.f64 (*.f64 a c) 1))) (fma.f64 (neg.f64 (*.f64 a c)) 1 (*.f64 (*.f64 a c) 1)))
(+.f64 (fma.f64 1 (*.f64 b d) (neg.f64 (*.f64 (cbrt.f64 (*.f64 a c)) (pow.f64 (cbrt.f64 (*.f64 a c)) 2)))) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 a c))) (pow.f64 (cbrt.f64 (*.f64 a c)) 2) (*.f64 (cbrt.f64 (*.f64 a c)) (pow.f64 (cbrt.f64 (*.f64 a c)) 2))))
(+.f64 (fma.f64 (pow.f64 (cbrt.f64 (*.f64 b d)) 2) (cbrt.f64 (*.f64 b d)) (neg.f64 (*.f64 (*.f64 a c) 1))) (fma.f64 (neg.f64 (*.f64 a c)) 1 (*.f64 (*.f64 a c) 1)))
(+.f64 (fma.f64 (pow.f64 (cbrt.f64 (*.f64 b d)) 2) (cbrt.f64 (*.f64 b d)) (neg.f64 (*.f64 (cbrt.f64 (*.f64 a c)) (pow.f64 (cbrt.f64 (*.f64 a c)) 2)))) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 a c))) (pow.f64 (cbrt.f64 (*.f64 a c)) 2) (*.f64 (cbrt.f64 (*.f64 a c)) (pow.f64 (cbrt.f64 (*.f64 a c)) 2))))
(+.f64 (fma.f64 (sqrt.f64 (*.f64 b d)) (sqrt.f64 (*.f64 b d)) (neg.f64 (*.f64 (*.f64 a c) 1))) (fma.f64 (neg.f64 (*.f64 a c)) 1 (*.f64 (*.f64 a c) 1)))
(+.f64 (fma.f64 (sqrt.f64 (*.f64 b d)) (sqrt.f64 (*.f64 b d)) (neg.f64 (*.f64 (cbrt.f64 (*.f64 a c)) (pow.f64 (cbrt.f64 (*.f64 a c)) 2)))) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 a c))) (pow.f64 (cbrt.f64 (*.f64 a c)) 2) (*.f64 (cbrt.f64 (*.f64 a c)) (pow.f64 (cbrt.f64 (*.f64 a c)) 2))))
(*.f64 1 (-.f64 (*.f64 b d) (*.f64 a c)))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 (*.f64 b d) (*.f64 a c))) 2) (cbrt.f64 (-.f64 (*.f64 b d) (*.f64 a c))))
(*.f64 (sqrt.f64 (-.f64 (*.f64 b d) (*.f64 a c))) (sqrt.f64 (-.f64 (*.f64 b d) (*.f64 a c))))
(/.f64 (-.f64 (pow.f64 (*.f64 b d) 2) (pow.f64 (*.f64 a c) 2)) (fma.f64 b d (*.f64 a c)))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 b d) 2) (pow.f64 (*.f64 a c) 2))) (neg.f64 (fma.f64 b d (*.f64 a c))))
(/.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 (neg.f64 (-.f64 (pow.f64 (*.f64 b d) 3) (pow.f64 (*.f64 a c) 3))) (neg.f64 (+.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 b d) 3) (pow.f64 (neg.f64 (*.f64 a c)) 3)) (+.f64 (pow.f64 (*.f64 b d) 2) (-.f64 (*.f64 (neg.f64 (*.f64 a c)) (neg.f64 (*.f64 a c))) (*.f64 (*.f64 b d) (neg.f64 (*.f64 a c))))))
(/.f64 (+.f64 (pow.f64 (*.f64 b d) 3) (pow.f64 (*.f64 (neg.f64 a) c) 3)) (+.f64 (pow.f64 (*.f64 b d) 2) (-.f64 (*.f64 (*.f64 (neg.f64 a) c) (*.f64 (neg.f64 a) c)) (*.f64 (*.f64 b d) (*.f64 (neg.f64 a) c)))))
(/.f64 (+.f64 (pow.f64 (-.f64 (*.f64 b d) (*.f64 a c)) 3) (pow.f64 (fma.f64 (neg.f64 c) a (*.f64 a c)) 3)) (+.f64 (pow.f64 (-.f64 (*.f64 b d) (*.f64 a c)) 2) (-.f64 (*.f64 (fma.f64 (neg.f64 c) a (*.f64 a c)) (fma.f64 (neg.f64 c) a (*.f64 a c))) (*.f64 (-.f64 (*.f64 b d) (*.f64 a c)) (fma.f64 (neg.f64 c) a (*.f64 a c))))))
(pow.f64 (-.f64 (*.f64 b d) (*.f64 a c)) 1)
(pow.f64 (cbrt.f64 (-.f64 (*.f64 b d) (*.f64 a c))) 3)
(pow.f64 (pow.f64 (-.f64 (*.f64 b d) (*.f64 a c)) 3) 1/3)
(pow.f64 (sqrt.f64 (-.f64 (*.f64 b d) (*.f64 a c))) 2)
(sqrt.f64 (pow.f64 (-.f64 (*.f64 b d) (*.f64 a c)) 2))
(log.f64 (exp.f64 (-.f64 (*.f64 b d) (*.f64 a c))))
(log.f64 (+.f64 1 (expm1.f64 (-.f64 (*.f64 b d) (*.f64 a c)))))
(cbrt.f64 (pow.f64 (-.f64 (*.f64 b d) (*.f64 a c)) 3))
(expm1.f64 (log1p.f64 (-.f64 (*.f64 b d) (*.f64 a c))))
(exp.f64 (log.f64 (-.f64 (*.f64 b d) (*.f64 a c))))
(exp.f64 (*.f64 (log.f64 (-.f64 (*.f64 b d) (*.f64 a c))) 1))
(log1p.f64 (expm1.f64 (-.f64 (*.f64 b d) (*.f64 a c))))
(fma.f64 b d (neg.f64 (*.f64 a c)))
(fma.f64 b d (*.f64 (neg.f64 a) c))
(fma.f64 d b (neg.f64 (*.f64 a c)))
(fma.f64 d b (*.f64 (neg.f64 a) c))
(fma.f64 1 (*.f64 b d) (neg.f64 (*.f64 a c)))
(fma.f64 1 (*.f64 b d) (*.f64 (neg.f64 a) c))
(fma.f64 1 (-.f64 (*.f64 b d) (*.f64 a c)) (fma.f64 (neg.f64 c) a (*.f64 a c)))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 b d)) 2) (cbrt.f64 (*.f64 b d)) (neg.f64 (*.f64 a c)))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 b d)) 2) (cbrt.f64 (*.f64 b d)) (*.f64 (neg.f64 a) c))
(fma.f64 (pow.f64 (cbrt.f64 (-.f64 (*.f64 b d) (*.f64 a c))) 2) (cbrt.f64 (-.f64 (*.f64 b d) (*.f64 a c))) (fma.f64 (neg.f64 c) a (*.f64 a c)))
(fma.f64 (sqrt.f64 (-.f64 (*.f64 b d) (*.f64 a c))) (sqrt.f64 (-.f64 (*.f64 b d) (*.f64 a c))) (fma.f64 (neg.f64 c) a (*.f64 a c)))
(fma.f64 (sqrt.f64 (*.f64 b d)) (sqrt.f64 (*.f64 b d)) (neg.f64 (*.f64 a c)))
(fma.f64 (sqrt.f64 (*.f64 b d)) (sqrt.f64 (*.f64 b d)) (*.f64 (neg.f64 a) c))

simplify300.0ms (2.8%)

Algorithm
egg-herbie
Rules
1184×fma-def
502×sqr-pow
448×unswap-sqr
410×associate-+r+
402×*-commutative
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0116847422
1315644830
Stop Event
node limit
Counts
870 → 705
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)
(+.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 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))))
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(+.f64 (pow.f64 (*.f64 b d) 2) (neg.f64 (pow.f64 (*.f64 a c) 2)))
(+.f64 (-.f64 (pow.f64 (*.f64 b d) 2) (pow.f64 (*.f64 a c) 2)) (fma.f64 (neg.f64 (*.f64 a c)) (*.f64 a c) (pow.f64 (*.f64 a c) 2)))
(+.f64 (-.f64 (pow.f64 (*.f64 b d) 2) (pow.f64 (*.f64 a c) 2)) (fma.f64 (neg.f64 (pow.f64 c 2)) (pow.f64 a 2) (pow.f64 (*.f64 a c) 2)))
(+.f64 (fma.f64 (*.f64 b d) (*.f64 b d) (neg.f64 (*.f64 (pow.f64 (*.f64 a c) 2) 1))) (fma.f64 (neg.f64 (pow.f64 (*.f64 a c) 2)) 1 (*.f64 (pow.f64 (*.f64 a c) 2) 1)))
(+.f64 (fma.f64 (*.f64 b d) (*.f64 b d) (neg.f64 (*.f64 (pow.f64 (cbrt.f64 (*.f64 a c)) 2) (cbrt.f64 (pow.f64 (*.f64 a c) 4))))) (fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (*.f64 a c)) 2)) (cbrt.f64 (pow.f64 (*.f64 a c) 4)) (*.f64 (pow.f64 (cbrt.f64 (*.f64 a c)) 2) (cbrt.f64 (pow.f64 (*.f64 a c) 4)))))
(+.f64 (fma.f64 1 (pow.f64 (*.f64 b d) 2) (neg.f64 (*.f64 (pow.f64 (*.f64 a c) 2) 1))) (fma.f64 (neg.f64 (pow.f64 (*.f64 a c) 2)) 1 (*.f64 (pow.f64 (*.f64 a c) 2) 1)))
(+.f64 (fma.f64 1 (pow.f64 (*.f64 b d) 2) (neg.f64 (*.f64 (pow.f64 (cbrt.f64 (*.f64 a c)) 2) (cbrt.f64 (pow.f64 (*.f64 a c) 4))))) (fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (*.f64 a c)) 2)) (cbrt.f64 (pow.f64 (*.f64 a c) 4)) (*.f64 (pow.f64 (cbrt.f64 (*.f64 a c)) 2) (cbrt.f64 (pow.f64 (*.f64 a c) 4)))))
(+.f64 (fma.f64 (pow.f64 b 2) (pow.f64 d 2) (neg.f64 (*.f64 (pow.f64 (*.f64 a c) 2) 1))) (fma.f64 (neg.f64 (pow.f64 (*.f64 a c) 2)) 1 (*.f64 (pow.f64 (*.f64 a c) 2) 1)))
(+.f64 (fma.f64 (pow.f64 b 2) (pow.f64 d 2) (neg.f64 (*.f64 (pow.f64 (cbrt.f64 (*.f64 a c)) 2) (cbrt.f64 (pow.f64 (*.f64 a c) 4))))) (fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (*.f64 a c)) 2)) (cbrt.f64 (pow.f64 (*.f64 a c) 4)) (*.f64 (pow.f64 (cbrt.f64 (*.f64 a c)) 2) (cbrt.f64 (pow.f64 (*.f64 a c) 4)))))
(+.f64 (fma.f64 (cbrt.f64 (pow.f64 (*.f64 b d) 4)) (pow.f64 (cbrt.f64 (*.f64 b d)) 2) (neg.f64 (*.f64 (pow.f64 (*.f64 a c) 2) 1))) (fma.f64 (neg.f64 (pow.f64 (*.f64 a c) 2)) 1 (*.f64 (pow.f64 (*.f64 a c) 2) 1)))
(+.f64 (fma.f64 (cbrt.f64 (pow.f64 (*.f64 b d) 4)) (pow.f64 (cbrt.f64 (*.f64 b d)) 2) (neg.f64 (*.f64 (pow.f64 (cbrt.f64 (*.f64 a c)) 2) (cbrt.f64 (pow.f64 (*.f64 a c) 4))))) (fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (*.f64 a c)) 2)) (cbrt.f64 (pow.f64 (*.f64 a c) 4)) (*.f64 (pow.f64 (cbrt.f64 (*.f64 a c)) 2) (cbrt.f64 (pow.f64 (*.f64 a c) 4)))))
(*.f64 1 (-.f64 (pow.f64 (*.f64 b d) 2) (pow.f64 (*.f64 a c) 2)))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 (pow.f64 (*.f64 b d) 2) (pow.f64 (*.f64 a c) 2))) 2) (cbrt.f64 (-.f64 (pow.f64 (*.f64 b d) 2) (pow.f64 (*.f64 a c) 2))))
(*.f64 (sqrt.f64 (-.f64 (pow.f64 (*.f64 b d) 2) (pow.f64 (*.f64 a c) 2))) (sqrt.f64 (-.f64 (pow.f64 (*.f64 b d) 2) (pow.f64 (*.f64 a c) 2))))
(/.f64 (-.f64 (pow.f64 (*.f64 b d) 6) (pow.f64 (*.f64 a c) 6)) (+.f64 (pow.f64 (*.f64 b d) 4) (+.f64 (pow.f64 (*.f64 a c) 4) (pow.f64 (*.f64 (*.f64 b d) (*.f64 a c)) 2))))
(/.f64 (-.f64 (pow.f64 (*.f64 b d) 4) (pow.f64 (*.f64 a c) 4)) (+.f64 (pow.f64 (*.f64 b d) 2) (pow.f64 (*.f64 a c) 2)))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 b d) 6) (pow.f64 (*.f64 a c) 6))) (neg.f64 (+.f64 (pow.f64 (*.f64 b d) 4) (+.f64 (pow.f64 (*.f64 a c) 4) (pow.f64 (*.f64 (*.f64 b d) (*.f64 a c)) 2)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 b d) 4) (pow.f64 (*.f64 a c) 4))) (neg.f64 (+.f64 (pow.f64 (*.f64 b d) 2) (pow.f64 (*.f64 a c) 2))))
(/.f64 (+.f64 (pow.f64 (*.f64 b d) 6) (pow.f64 (neg.f64 (pow.f64 (*.f64 a c) 2)) 3)) (+.f64 (pow.f64 (*.f64 b d) 4) (-.f64 (*.f64 (neg.f64 (pow.f64 (*.f64 a c) 2)) (neg.f64 (pow.f64 (*.f64 a c) 2))) (*.f64 (pow.f64 (*.f64 b d) 2) (neg.f64 (pow.f64 (*.f64 a c) 2))))))
(pow.f64 (-.f64 (pow.f64 (*.f64 b d) 2) (pow.f64 (*.f64 a c) 2)) 1)
(pow.f64 (cbrt.f64 (-.f64 (pow.f64 (*.f64 b d) 2) (pow.f64 (*.f64 a c) 2))) 3)
(pow.f64 (pow.f64 (-.f64 (pow.f64 (*.f64 b d) 2) (pow.f64 (*.f64 a c) 2)) 3) 1/3)
(pow.f64 (sqrt.f64 (-.f64 (pow.f64 (*.f64 b d) 2) (pow.f64 (*.f64 a c) 2))) 2)
(sqrt.f64 (pow.f64 (-.f64 (pow.f64 (*.f64 b d) 2) (pow.f64 (*.f64 a c) 2)) 2))
(log.f64 (exp.f64 (-.f64 (pow.f64 (*.f64 b d) 2) (pow.f64 (*.f64 a c) 2))))
(log.f64 (+.f64 1 (expm1.f64 (-.f64 (pow.f64 (*.f64 b d) 2) (pow.f64 (*.f64 a c) 2)))))
(cbrt.f64 (pow.f64 (-.f64 (pow.f64 (*.f64 b d) 2) (pow.f64 (*.f64 a c) 2)) 3))
(expm1.f64 (log1p.f64 (-.f64 (pow.f64 (*.f64 b d) 2) (pow.f64 (*.f64 a c) 2))))
(exp.f64 (log.f64 (-.f64 (pow.f64 (*.f64 b d) 2) (pow.f64 (*.f64 a c) 2))))
(exp.f64 (*.f64 (log.f64 (-.f64 (pow.f64 (*.f64 b d) 2) (pow.f64 (*.f64 a c) 2))) 1))
(log1p.f64 (expm1.f64 (-.f64 (pow.f64 (*.f64 b d) 2) (pow.f64 (*.f64 a c) 2))))
(fma.f64 (*.f64 b d) (*.f64 b d) (neg.f64 (pow.f64 (*.f64 a c) 2)))
(fma.f64 1 (pow.f64 (*.f64 b d) 2) (neg.f64 (pow.f64 (*.f64 a c) 2)))
(fma.f64 (pow.f64 b 2) (pow.f64 d 2) (neg.f64 (pow.f64 (*.f64 a c) 2)))
(fma.f64 (cbrt.f64 (pow.f64 (*.f64 b d) 4)) (pow.f64 (cbrt.f64 (*.f64 b d)) 2) (neg.f64 (pow.f64 (*.f64 a c) 2)))
(+.f64 (*.f64 b d) (neg.f64 (*.f64 a c)))
(+.f64 (*.f64 b d) (*.f64 (neg.f64 a) c))
(+.f64 (-.f64 (*.f64 b d) (*.f64 a c)) (fma.f64 (neg.f64 c) a (*.f64 a c)))
(+.f64 (-.f64 (*.f64 b d) (*.f64 a c)) (fma.f64 (neg.f64 a) c (*.f64 a c)))
(+.f64 (-.f64 (*.f64 b d) (*.f64 a c)) (fma.f64 (neg.f64 (sqrt.f64 (*.f64 a c))) (sqrt.f64 (*.f64 a c)) (*.f64 a c)))
(+.f64 (fma.f64 b d (neg.f64 (*.f64 (*.f64 a c) 1))) (fma.f64 (neg.f64 (*.f64 a c)) 1 (*.f64 (*.f64 a c) 1)))
(+.f64 (fma.f64 b d (neg.f64 (*.f64 (cbrt.f64 (*.f64 a c)) (pow.f64 (cbrt.f64 (*.f64 a c)) 2)))) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 a c))) (pow.f64 (cbrt.f64 (*.f64 a c)) 2) (*.f64 (cbrt.f64 (*.f64 a c)) (pow.f64 (cbrt.f64 (*.f64 a c)) 2))))
(+.f64 (fma.f64 d b (neg.f64 (*.f64 (*.f64 a c) 1))) (fma.f64 (neg.f64 (*.f64 a c)) 1 (*.f64 (*.f64 a c) 1)))
(+.f64 (fma.f64 d b (neg.f64 (*.f64 (cbrt.f64 (*.f64 a c)) (pow.f64 (cbrt.f64 (*.f64 a c)) 2)))) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 a c))) (pow.f64 (cbrt.f64 (*.f64 a c)) 2) (*.f64 (cbrt.f64 (*.f64 a c)) (pow.f64 (cbrt.f64 (*.f64 a c)) 2))))
(+.f64 (fma.f64 1 (*.f64 b d) (neg.f64 (*.f64 (*.f64 a c) 1))) (fma.f64 (neg.f64 (*.f64 a c)) 1 (*.f64 (*.f64 a c) 1)))
(+.f64 (fma.f64 1 (*.f64 b d) (neg.f64 (*.f64 (cbrt.f64 (*.f64 a c)) (pow.f64 (cbrt.f64 (*.f64 a c)) 2)))) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 a c))) (pow.f64 (cbrt.f64 (*.f64 a c)) 2) (*.f64 (cbrt.f64 (*.f64 a c)) (pow.f64 (cbrt.f64 (*.f64 a c)) 2))))
(+.f64 (fma.f64 (pow.f64 (cbrt.f64 (*.f64 b d)) 2) (cbrt.f64 (*.f64 b d)) (neg.f64 (*.f64 (*.f64 a c) 1))) (fma.f64 (neg.f64 (*.f64 a c)) 1 (*.f64 (*.f64 a c) 1)))
(+.f64 (fma.f64 (pow.f64 (cbrt.f64 (*.f64 b d)) 2) (cbrt.f64 (*.f64 b d)) (neg.f64 (*.f64 (cbrt.f64 (*.f64 a c)) (pow.f64 (cbrt.f64 (*.f64 a c)) 2)))) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 a c))) (pow.f64 (cbrt.f64 (*.f64 a c)) 2) (*.f64 (cbrt.f64 (*.f64 a c)) (pow.f64 (cbrt.f64 (*.f64 a c)) 2))))
(+.f64 (fma.f64 (sqrt.f64 (*.f64 b d)) (sqrt.f64 (*.f64 b d)) (neg.f64 (*.f64 (*.f64 a c) 1))) (fma.f64 (neg.f64 (*.f64 a c)) 1 (*.f64 (*.f64 a c) 1)))
(+.f64 (fma.f64 (sqrt.f64 (*.f64 b d)) (sqrt.f64 (*.f64 b d)) (neg.f64 (*.f64 (cbrt.f64 (*.f64 a c)) (pow.f64 (cbrt.f64 (*.f64 a c)) 2)))) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 a c))) (pow.f64 (cbrt.f64 (*.f64 a c)) 2) (*.f64 (cbrt.f64 (*.f64 a c)) (pow.f64 (cbrt.f64 (*.f64 a c)) 2))))
(*.f64 1 (-.f64 (*.f64 b d) (*.f64 a c)))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 (*.f64 b d) (*.f64 a c))) 2) (cbrt.f64 (-.f64 (*.f64 b d) (*.f64 a c))))
(*.f64 (sqrt.f64 (-.f64 (*.f64 b d) (*.f64 a c))) (sqrt.f64 (-.f64 (*.f64 b d) (*.f64 a c))))
(/.f64 (-.f64 (pow.f64 (*.f64 b d) 2) (pow.f64 (*.f64 a c) 2)) (fma.f64 b d (*.f64 a c)))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 b d) 2) (pow.f64 (*.f64 a c) 2))) (neg.f64 (fma.f64 b d (*.f64 a c))))
(/.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 (neg.f64 (-.f64 (pow.f64 (*.f64 b d) 3) (pow.f64 (*.f64 a c) 3))) (neg.f64 (+.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 b d) 3) (pow.f64 (neg.f64 (*.f64 a c)) 3)) (+.f64 (pow.f64 (*.f64 b d) 2) (-.f64 (*.f64 (neg.f64 (*.f64 a c)) (neg.f64 (*.f64 a c))) (*.f64 (*.f64 b d) (neg.f64 (*.f64 a c))))))
(/.f64 (+.f64 (pow.f64 (*.f64 b d) 3) (pow.f64 (*.f64 (neg.f64 a) c) 3)) (+.f64 (pow.f64 (*.f64 b d) 2) (-.f64 (*.f64 (*.f64 (neg.f64 a) c) (*.f64 (neg.f64 a) c)) (*.f64 (*.f64 b d) (*.f64 (neg.f64 a) c)))))
(/.f64 (+.f64 (pow.f64 (-.f64 (*.f64 b d) (*.f64 a c)) 3) (pow.f64 (fma.f64 (neg.f64 c) a (*.f64 a c)) 3)) (+.f64 (pow.f64 (-.f64 (*.f64 b d) (*.f64 a c)) 2) (-.f64 (*.f64 (fma.f64 (neg.f64 c) a (*.f64 a c)) (fma.f64 (neg.f64 c) a (*.f64 a c))) (*.f64 (-.f64 (*.f64 b d) (*.f64 a c)) (fma.f64 (neg.f64 c) a (*.f64 a c))))))
(pow.f64 (-.f64 (*.f64 b d) (*.f64 a c)) 1)
(pow.f64 (cbrt.f64 (-.f64 (*.f64 b d) (*.f64 a c))) 3)
(pow.f64 (pow.f64 (-.f64 (*.f64 b d) (*.f64 a c)) 3) 1/3)
(pow.f64 (sqrt.f64 (-.f64 (*.f64 b d) (*.f64 a c))) 2)
(sqrt.f64 (pow.f64 (-.f64 (*.f64 b d) (*.f64 a c)) 2))
(log.f64 (exp.f64 (-.f64 (*.f64 b d) (*.f64 a c))))
(log.f64 (+.f64 1 (expm1.f64 (-.f64 (*.f64 b d) (*.f64 a c)))))
(cbrt.f64 (pow.f64 (-.f64 (*.f64 b d) (*.f64 a c)) 3))
(expm1.f64 (log1p.f64 (-.f64 (*.f64 b d) (*.f64 a c))))
(exp.f64 (log.f64 (-.f64 (*.f64 b d) (*.f64 a c))))
(exp.f64 (*.f64 (log.f64 (-.f64 (*.f64 b d) (*.f64 a c))) 1))
(log1p.f64 (expm1.f64 (-.f64 (*.f64 b d) (*.f64 a c))))
(fma.f64 b d (neg.f64 (*.f64 a c)))
(fma.f64 b d (*.f64 (neg.f64 a) c))
(fma.f64 d b (neg.f64 (*.f64 a c)))
(fma.f64 d b (*.f64 (neg.f64 a) c))
(fma.f64 1 (*.f64 b d) (neg.f64 (*.f64 a c)))
(fma.f64 1 (*.f64 b d) (*.f64 (neg.f64 a) c))
(fma.f64 1 (-.f64 (*.f64 b d) (*.f64 a c)) (fma.f64 (neg.f64 c) a (*.f64 a c)))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 b d)) 2) (cbrt.f64 (*.f64 b d)) (neg.f64 (*.f64 a c)))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 b d)) 2) (cbrt.f64 (*.f64 b d)) (*.f64 (neg.f64 a) c))
(fma.f64 (pow.f64 (cbrt.f64 (-.f64 (*.f64 b d) (*.f64 a c))) 2) (cbrt.f64 (-.f64 (*.f64 b d) (*.f64 a c))) (fma.f64 (neg.f64 c) a (*.f64 a c)))
(fma.f64 (sqrt.f64 (-.f64 (*.f64 b d) (*.f64 a c))) (sqrt.f64 (-.f64 (*.f64 b d) (*.f64 a c))) (fma.f64 (neg.f64 c) a (*.f64 a c)))
(fma.f64 (sqrt.f64 (*.f64 b d)) (sqrt.f64 (*.f64 b d)) (neg.f64 (*.f64 a c)))
(fma.f64 (sqrt.f64 (*.f64 b d)) (sqrt.f64 (*.f64 b d)) (*.f64 (neg.f64 a) c))
Outputs
(*.f64 (*.f64 b d) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 c 2) (pow.f64 d 2)))))
(*.f64 b (*.f64 d (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 c 2) (pow.f64 d 2))))))
(*.f64 b (*.f64 d (sqrt.f64 (/.f64 1 (fma.f64 d d (pow.f64 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 (fma.f64 d d (pow.f64 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 (fma.f64 d d (pow.f64 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 (fma.f64 d d (pow.f64 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 (fma.f64 d d (pow.f64 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 (fma.f64 d d (pow.f64 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 (fma.f64 d d (pow.f64 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 (fma.f64 d d (pow.f64 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 (fma.f64 d d (pow.f64 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 (fma.f64 d d (pow.f64 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 (fma.f64 d d (pow.f64 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 (fma.f64 d d (pow.f64 c 2)))) (fma.f64 b d (*.f64 c a)))
b
(+.f64 b (/.f64 (*.f64 a c) d))
(+.f64 b (/.f64 a (/.f64 d c)))
(+.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 d 2) (pow.f64 c 2))) (/.f64 a (/.f64 d c))))
(+.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 d 3) (pow.f64 c 3))) (fma.f64 -1/2 (/.f64 b (/.f64 (pow.f64 d 2) (pow.f64 c 2))) (/.f64 a (/.f64 d c)))))
a
(+.f64 a (/.f64 (*.f64 b d) c))
(+.f64 a (/.f64 b (/.f64 c d)))
(+.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 c 2) (pow.f64 d 2))) (/.f64 b (/.f64 c d))))
(+.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 c 2) (pow.f64 d 2))) (fma.f64 -1/2 (/.f64 (*.f64 b (pow.f64 d 3)) (pow.f64 c 3)) (/.f64 b (/.f64 c d)))))
(*.f64 -1 a)
(neg.f64 a)
(+.f64 (*.f64 -1 a) (*.f64 -1 (/.f64 (*.f64 b d) c)))
(*.f64 -1 (+.f64 a (/.f64 b (/.f64 c d))))
(-.f64 (/.f64 (*.f64 b (neg.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 c d)) (/.f64 (*.f64 1/2 (*.f64 (pow.f64 d 2) a)) (pow.f64 c 2))))
(-.f64 (-.f64 (/.f64 (*.f64 1/2 (*.f64 (pow.f64 d 2) a)) (pow.f64 c 2)) (/.f64 b (/.f64 c d))) a)
(+.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 c d)) (*.f64 1/2 (+.f64 (/.f64 a (/.f64 (pow.f64 c 2) (pow.f64 d 2))) (/.f64 (*.f64 b (pow.f64 d 3)) (pow.f64 c 3))))))
(-.f64 (fma.f64 1/2 (+.f64 (/.f64 a (/.f64 (pow.f64 c 2) (pow.f64 d 2))) (/.f64 (*.f64 b (pow.f64 d 3)) (pow.f64 c 3))) (/.f64 (*.f64 b (neg.f64 d)) 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 (fma.f64 d d (pow.f64 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 (fma.f64 d d (pow.f64 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 (fma.f64 d d (pow.f64 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 (fma.f64 d d (pow.f64 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 b (*.f64 d (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 c 2) (pow.f64 d 2))))))
(*.f64 b (*.f64 d (sqrt.f64 (/.f64 1 (fma.f64 d d (pow.f64 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 (fma.f64 d d (pow.f64 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 (fma.f64 d d (pow.f64 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 (fma.f64 d d (pow.f64 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 b (*.f64 d (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 c 2) (pow.f64 d 2))))))
(*.f64 b (*.f64 d (sqrt.f64 (/.f64 1 (fma.f64 d d (pow.f64 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 (fma.f64 d d (pow.f64 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 (fma.f64 d d (pow.f64 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 (fma.f64 d d (pow.f64 c 2)))) (fma.f64 b d (*.f64 c a)))
a
(+.f64 a (/.f64 (*.f64 b d) c))
(+.f64 a (/.f64 b (/.f64 c d)))
(+.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 c 2) (pow.f64 d 2))) (/.f64 b (/.f64 c d))))
(+.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 c 2) (pow.f64 d 2))) (fma.f64 -1/2 (/.f64 (*.f64 b (pow.f64 d 3)) (pow.f64 c 3)) (/.f64 b (/.f64 c d)))))
b
(+.f64 b (/.f64 (*.f64 a c) d))
(+.f64 b (/.f64 a (/.f64 d c)))
(+.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 d 2) (pow.f64 c 2))) (/.f64 a (/.f64 d c))))
(+.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 d 3) (pow.f64 c 3))) (fma.f64 -1/2 (/.f64 b (/.f64 (pow.f64 d 2) (pow.f64 c 2))) (/.f64 a (/.f64 d c)))))
(*.f64 -1 b)
(neg.f64 b)
(+.f64 (*.f64 -1 b) (*.f64 -1 (/.f64 (*.f64 a c) d)))
(fma.f64 -1 b (/.f64 (*.f64 c (neg.f64 a)) d))
(-.f64 (/.f64 (neg.f64 a) (/.f64 d c)) 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 d c)) (*.f64 (/.f64 b (/.f64 (pow.f64 d 2) (pow.f64 c 2))) 1/2)))
(-.f64 (-.f64 (*.f64 (/.f64 b (/.f64 (pow.f64 d 2) (pow.f64 c 2))) 1/2) (/.f64 a (/.f64 d c))) b)
(+.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 d c)) (*.f64 1/2 (+.f64 (/.f64 a (/.f64 (pow.f64 d 3) (pow.f64 c 3))) (/.f64 b (/.f64 (pow.f64 d 2) (pow.f64 c 2)))))))
(-.f64 (fma.f64 1/2 (+.f64 (/.f64 a (/.f64 (pow.f64 d 3) (pow.f64 c 3))) (/.f64 b (/.f64 (pow.f64 d 2) (pow.f64 c 2)))) (/.f64 (neg.f64 a) (/.f64 d c))) b)
(*.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)))
(fma.f64 (/.f64 a (pow.f64 d 2)) c (/.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 d 3) (pow.f64 c 2))) (fma.f64 (/.f64 a (pow.f64 d 2)) c (/.f64 b d)))
(-.f64 (fma.f64 c (/.f64 a (pow.f64 d 2)) (/.f64 b d)) (/.f64 b (/.f64 (pow.f64 d 3) (pow.f64 c 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)))))
(fma.f64 -1 (/.f64 a (/.f64 (pow.f64 d 4) (pow.f64 c 3))) (fma.f64 -1 (/.f64 b (/.f64 (pow.f64 d 3) (pow.f64 c 2))) (fma.f64 (/.f64 a (pow.f64 d 2)) c (/.f64 b d))))
(-.f64 (-.f64 (fma.f64 c (/.f64 a (pow.f64 d 2)) (/.f64 b d)) (/.f64 b (/.f64 (pow.f64 d 3) (pow.f64 c 2)))) (/.f64 a (/.f64 (pow.f64 d 4) (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 (pow.f64 c 2) d)))
(+.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 (fma.f64 -1 (/.f64 (*.f64 (pow.f64 d 2) a) (pow.f64 c 3)) (/.f64 a c)) (/.f64 (*.f64 b d) (pow.f64 c 2)))
(+.f64 (/.f64 b (/.f64 (pow.f64 c 2) d)) (-.f64 (/.f64 a c) (/.f64 a (/.f64 (pow.f64 c 3) (pow.f64 d 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)))))
(fma.f64 -1 (/.f64 (*.f64 (pow.f64 d 2) a) (pow.f64 c 3)) (fma.f64 -1 (/.f64 b (/.f64 (pow.f64 c 4) (pow.f64 d 3))) (+.f64 (/.f64 a c) (/.f64 (*.f64 b d) (pow.f64 c 2)))))
(-.f64 (-.f64 (+.f64 (/.f64 a c) (/.f64 b (/.f64 (pow.f64 c 2) d))) (/.f64 b (/.f64 (pow.f64 c 4) (pow.f64 d 3)))) (/.f64 a (/.f64 (pow.f64 c 3) (pow.f64 d 2))))
(/.f64 a c)
(+.f64 (/.f64 a c) (/.f64 (*.f64 b d) (pow.f64 c 2)))
(+.f64 (/.f64 a c) (/.f64 b (/.f64 (pow.f64 c 2) d)))
(+.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 (fma.f64 -1 (/.f64 (*.f64 (pow.f64 d 2) a) (pow.f64 c 3)) (/.f64 a c)) (/.f64 (*.f64 b d) (pow.f64 c 2)))
(+.f64 (/.f64 b (/.f64 (pow.f64 c 2) d)) (-.f64 (/.f64 a c) (/.f64 a (/.f64 (pow.f64 c 3) (pow.f64 d 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)))))
(fma.f64 -1 (/.f64 (*.f64 (pow.f64 d 2) a) (pow.f64 c 3)) (fma.f64 -1 (/.f64 b (/.f64 (pow.f64 c 4) (pow.f64 d 3))) (+.f64 (/.f64 a c) (/.f64 (*.f64 b d) (pow.f64 c 2)))))
(-.f64 (-.f64 (+.f64 (/.f64 a c) (/.f64 b (/.f64 (pow.f64 c 2) d))) (/.f64 b (/.f64 (pow.f64 c 4) (pow.f64 d 3)))) (/.f64 a (/.f64 (pow.f64 c 3) (pow.f64 d 2))))
(/.f64 a c)
(+.f64 (/.f64 a c) (/.f64 (*.f64 b d) (pow.f64 c 2)))
(+.f64 (/.f64 a c) (/.f64 b (/.f64 (pow.f64 c 2) d)))
(+.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 (fma.f64 -1 (/.f64 (*.f64 (pow.f64 d 2) a) (pow.f64 c 3)) (/.f64 a c)) (/.f64 (*.f64 b d) (pow.f64 c 2)))
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(fma.f64 b d (*.f64 c (neg.f64 a)))
(fma.f64 (pow.f64 (cbrt.f64 (-.f64 (*.f64 b d) (*.f64 a c))) 2) (cbrt.f64 (-.f64 (*.f64 b d) (*.f64 a c))) (fma.f64 (neg.f64 c) a (*.f64 a c)))
(+.f64 (fma.f64 b d (*.f64 c (neg.f64 a))) (fma.f64 (neg.f64 c) a (*.f64 c a)))
(+.f64 (fma.f64 b d (*.f64 c (neg.f64 a))) (*.f64 (*.f64 c a) 0))
(fma.f64 (sqrt.f64 (-.f64 (*.f64 b d) (*.f64 a c))) (sqrt.f64 (-.f64 (*.f64 b d) (*.f64 a c))) (fma.f64 (neg.f64 c) a (*.f64 a c)))
(+.f64 (fma.f64 b d (*.f64 c (neg.f64 a))) (fma.f64 (neg.f64 c) a (*.f64 c a)))
(+.f64 (fma.f64 b d (*.f64 c (neg.f64 a))) (*.f64 (*.f64 c a) 0))
(fma.f64 (sqrt.f64 (*.f64 b d)) (sqrt.f64 (*.f64 b d)) (neg.f64 (*.f64 a c)))
(fma.f64 b d (*.f64 c (neg.f64 a)))
(fma.f64 (sqrt.f64 (*.f64 b d)) (sqrt.f64 (*.f64 b d)) (*.f64 (neg.f64 a) c))
(fma.f64 b d (*.f64 c (neg.f64 a)))

eval303.0ms (2.8%)

Compiler

Compiled 18978 to 8027 computations (57.7% saved)

prune231.0ms (2.1%)

Pruning

27 alts after pruning (23 fresh and 4 done)

PrunedKeptTotal
New68619705
Fresh448
Picked235
Done011
Total69227719
Accuracy
100.0%
Counts
719 → 27
Alt Table
Click to see full alt table
StatusAccuracyProgram
73.4%
(/.f64 (/.f64 (fma.f64 a c (*.f64 b d)) (hypot.f64 c d)) (hypot.f64 c d))
44.6%
(/.f64 (/.f64 (*.f64 c a) (hypot.f64 c d)) (hypot.f64 c d))
56.5%
(/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) (+.f64 (*.f64 c c) (*.f64 d d)))
38.0%
(/.f64 (*.f64 c a) (+.f64 (*.f64 c c) (*.f64 d d)))
37.6%
(/.f64 (*.f64 b d) (+.f64 (*.f64 c c) (*.f64 d d)))
46.1%
(/.f64 b d)
43.1%
(/.f64 a c)
49.7%
(+.f64 (/.f64 b d) (/.f64 a (/.f64 (pow.f64 d 2) c)))
53.5%
(+.f64 (/.f64 b d) (/.f64 a (*.f64 (/.f64 d 1) (/.f64 d c))))
46.9%
(+.f64 (/.f64 a c) (/.f64 b (/.f64 (pow.f64 c 2) d)))
55.2%
(+.f64 (*.f64 (/.f64 b (fma.f64 d d (pow.f64 c 2))) d) (*.f64 (/.f64 a (fma.f64 d d (pow.f64 c 2))) c))
73.1%
(*.f64 (pow.f64 (pow.f64 (hypot.f64 c d) -1/2) 2) (/.f64 (fma.f64 a c (*.f64 b d)) (hypot.f64 c d)))
53.0%
(*.f64 (/.f64 c (hypot.f64 c d)) (/.f64 a (hypot.f64 c d)))
73.3%
(*.f64 (/.f64 1 (hypot.f64 c d)) (/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) (hypot.f64 c d)))
30.2%
(*.f64 (/.f64 1 (hypot.f64 c d)) (-.f64 (/.f64 (*.f64 b (neg.f64 d)) c) a))
28.8%
(*.f64 (/.f64 1 (hypot.f64 c d)) (-.f64 (/.f64 (neg.f64 a) (/.f64 d c)) b))
24.5%
(*.f64 (/.f64 1 (hypot.f64 c d)) (-.f64 (-.f64 (*.f64 (/.f64 b (/.f64 (pow.f64 d 2) (pow.f64 c 2))) 1/2) (/.f64 a (/.f64 d c))) b))
33.8%
(*.f64 (/.f64 1 (hypot.f64 c d)) (+.f64 b (/.f64 (*.f64 a c) d)))
34.5%
(*.f64 (/.f64 1 (hypot.f64 c d)) (+.f64 b (/.f64 a (/.f64 d c))))
33.7%
(*.f64 (/.f64 1 (hypot.f64 c d)) (+.f64 a (/.f64 b (/.f64 c d))))
33.0%
(*.f64 (/.f64 1 (hypot.f64 c d)) (*.f64 -1 (+.f64 a (/.f64 b (/.f64 c d)))))
28.8%
(*.f64 (/.f64 1 (hypot.f64 c d)) (neg.f64 b))
29.8%
(*.f64 (/.f64 1 (hypot.f64 c d)) (neg.f64 a))
33.4%
(*.f64 (/.f64 1 (hypot.f64 c d)) b)
31.7%
(*.f64 (/.f64 1 (hypot.f64 c d)) a)
16.5%
(*.f64 c (/.f64 a (pow.f64 d 2)))
40.2%
(*.f64 a (/.f64 c (pow.f64 (hypot.f64 c d) 2)))
Compiler

Compiled 806 to 517 computations (35.9% saved)

localize131.0ms (1.2%)

Localize:

Found 12 expressions with local error:

NewAccuracyProgram
100.0%
(pow.f64 (hypot.f64 c d) 2)
95.7%
(*.f64 a (/.f64 c (pow.f64 (hypot.f64 c d) 2)))
67.0%
(/.f64 c (pow.f64 (hypot.f64 c d) 2))
100.0%
(/.f64 1 (hypot.f64 c d))
100.0%
(+.f64 b (/.f64 a (/.f64 d c)))
92.9%
(*.f64 (/.f64 1 (hypot.f64 c d)) (+.f64 b (/.f64 a (/.f64 d c))))
90.9%
(/.f64 a (/.f64 d c))
100.0%
(/.f64 1 (hypot.f64 c d))
99.6%
(*.f64 (/.f64 1 (hypot.f64 c d)) b)
99.9%
(/.f64 (/.f64 (fma.f64 a c (*.f64 b d)) (hypot.f64 c d)) (hypot.f64 c d))
99.6%
(fma.f64 a c (*.f64 b d))
74.2%
(/.f64 (fma.f64 a c (*.f64 b d)) (hypot.f64 c d))
Compiler

Compiled 138 to 36 computations (73.9% saved)

series44.0ms (0.4%)

Counts
8 → 300
Calls

75 calls:

TimeVariablePointExpression
6.0ms
c
@0
(*.f64 (/.f64 1 (hypot.f64 c d)) b)
3.0ms
c
@-inf
(/.f64 c (pow.f64 (hypot.f64 c d) 2))
2.0ms
d
@inf
(/.f64 c (pow.f64 (hypot.f64 c d) 2))
1.0ms
c
@inf
(/.f64 c (pow.f64 (hypot.f64 c d) 2))
1.0ms
d
@inf
(*.f64 a (/.f64 c (pow.f64 (hypot.f64 c d) 2)))

rewrite209.0ms (1.9%)

Algorithm
batch-egg-rewrite
Rules
728×expm1-udef
728×log1p-udef
602×log1p-expm1-u
370×associate-*r*
250×times-frac
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
028259
1429251
26345251
Stop Event
node limit
Counts
8 → 280
Calls
Call 1
Inputs
(/.f64 (/.f64 (fma.f64 a c (*.f64 b d)) (hypot.f64 c d)) (hypot.f64 c d))
(*.f64 (/.f64 1 (hypot.f64 c d)) b)
(/.f64 a (/.f64 d c))
(*.f64 (/.f64 1 (hypot.f64 c d)) (+.f64 b (/.f64 a (/.f64 d c))))
(+.f64 b (/.f64 a (/.f64 d c)))
(/.f64 c (pow.f64 (hypot.f64 c d) 2))
(*.f64 a (/.f64 c (pow.f64 (hypot.f64 c d) 2)))
(pow.f64 (hypot.f64 c d) 2)
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)) (pow.f64 (hypot.f64 c d) -2))
(*.f64 (/.f64 (fma.f64 a c (*.f64 b d)) (hypot.f64 c d)) (/.f64 1 (hypot.f64 c d)))
(*.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 (/.f64 1 (hypot.f64 c d)) (/.f64 (fma.f64 a c (*.f64 b d)) (hypot.f64 c d)))
(*.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 (/.f64 (fma.f64 a c (*.f64 b d)) (hypot.f64 c d))) 2) (*.f64 (cbrt.f64 (/.f64 (fma.f64 a c (*.f64 b d)) (hypot.f64 c d))) (/.f64 1 (hypot.f64 c d))))
(*.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 (pow.f64 (hypot.f64 c d) -1/2) (/.f64 (/.f64 (fma.f64 a c (*.f64 b d)) (hypot.f64 c d)) (sqrt.f64 (hypot.f64 c d))))
(*.f64 (sqrt.f64 (/.f64 (fma.f64 a c (*.f64 b d)) (hypot.f64 c d))) (*.f64 (sqrt.f64 (/.f64 (fma.f64 a c (*.f64 b d)) (hypot.f64 c d))) (/.f64 1 (hypot.f64 c d))))
(*.f64 (/.f64 (neg.f64 (fma.f64 a c (*.f64 b d))) (hypot.f64 c d)) (/.f64 1 (neg.f64 (hypot.f64 c d))))
(*.f64 (/.f64 1 (cbrt.f64 (pow.f64 (hypot.f64 c d) 4))) (/.f64 (fma.f64 a c (*.f64 b d)) (pow.f64 (cbrt.f64 (hypot.f64 c d)) 2)))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (hypot.f64 c d)) 2)) (/.f64 (/.f64 (fma.f64 a c (*.f64 b d)) (hypot.f64 c d)) (cbrt.f64 (hypot.f64 c d))))
(*.f64 (/.f64 (fma.f64 a c (*.f64 b d)) (pow.f64 (cbrt.f64 (hypot.f64 c d)) 2)) (/.f64 (/.f64 1 (hypot.f64 c d)) (cbrt.f64 (hypot.f64 c d))))
(*.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 (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) (cbrt.f64 (pow.f64 (hypot.f64 c d) 4))) (cbrt.f64 (*.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))) 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))) (cbrt.f64 (pow.f64 (hypot.f64 c d) 4))) (/.f64 (sqrt.f64 (fma.f64 a c (*.f64 b d))) (pow.f64 (cbrt.f64 (hypot.f64 c d)) 2)))
(*.f64 (/.f64 (fma.f64 a c (*.f64 b d)) 1) (pow.f64 (hypot.f64 c d) -2))
(*.f64 (/.f64 (fma.f64 a c (*.f64 b d)) (sqrt.f64 (hypot.f64 c d))) (/.f64 (/.f64 1 (hypot.f64 c d)) (sqrt.f64 (hypot.f64 c d))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 (fma.f64 a c (*.f64 b d)) (hypot.f64 c d))) 2) 1) (/.f64 (cbrt.f64 (/.f64 (fma.f64 a c (*.f64 b d)) (hypot.f64 c d))) (hypot.f64 c d)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 (fma.f64 a c (*.f64 b d)) (hypot.f64 c d))) 2) (pow.f64 (cbrt.f64 (hypot.f64 c d)) 2)) (cbrt.f64 (*.f64 (fma.f64 a c (*.f64 b d)) (pow.f64 (hypot.f64 c d) -2))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 (fma.f64 a c (*.f64 b d)) (hypot.f64 c d))) 2) (sqrt.f64 (hypot.f64 c d))) (/.f64 (cbrt.f64 (/.f64 (fma.f64 a c (*.f64 b d)) (hypot.f64 c d))) (sqrt.f64 (hypot.f64 c d))))
(*.f64 (/.f64 (sqrt.f64 (/.f64 (fma.f64 a c (*.f64 b d)) (hypot.f64 c d))) 1) (/.f64 (sqrt.f64 (/.f64 (fma.f64 a c (*.f64 b d)) (hypot.f64 c d))) (hypot.f64 c d)))
(*.f64 (/.f64 (sqrt.f64 (/.f64 (fma.f64 a c (*.f64 b d)) (hypot.f64 c d))) (pow.f64 (cbrt.f64 (hypot.f64 c d)) 2)) (/.f64 (sqrt.f64 (/.f64 (fma.f64 a c (*.f64 b d)) (hypot.f64 c d))) (cbrt.f64 (hypot.f64 c d))))
(*.f64 (*.f64 (/.f64 (fma.f64 a c (*.f64 b d)) (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 a c (*.f64 b d)) (hypot.f64 c d)) (pow.f64 (hypot.f64 c d) -1/2)) (pow.f64 (hypot.f64 c d) -1/2))
(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 1 (*.f64 (fma.f64 a c (*.f64 b d)) (pow.f64 (hypot.f64 c d) -2))) -1)
(neg.f64 (/.f64 (/.f64 (fma.f64 a c (*.f64 b d)) (hypot.f64 c d)) (neg.f64 (hypot.f64 c d))))
(sqrt.f64 (/.f64 (pow.f64 (fma.f64 a c (*.f64 b d)) 2) (pow.f64 (hypot.f64 c d) 4)))
(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 (/.f64 (fma.f64 a c (*.f64 b d)) (hypot.f64 c d)) 3) (pow.f64 (/.f64 1 (hypot.f64 c d)) 3)))
(cbrt.f64 (/.f64 (pow.f64 (fma.f64 a c (*.f64 b d)) 3) (pow.f64 (pow.f64 (hypot.f64 c d) 2) 3)))
(cbrt.f64 (/.f64 (pow.f64 (/.f64 (fma.f64 a c (*.f64 b d)) (hypot.f64 c d)) 3) (pow.f64 (hypot.f64 c d) 3)))
(expm1.f64 (log1p.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))
(log1p.f64 (expm1.f64 (*.f64 (fma.f64 a c (*.f64 b d)) (pow.f64 (hypot.f64 c d) -2))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 b (hypot.f64 c d)))) 1)
(/.f64 b (hypot.f64 c d))
(/.f64 1 (/.f64 (hypot.f64 c d) b))
(/.f64 (pow.f64 (cbrt.f64 b) 2) (/.f64 (hypot.f64 c d) (cbrt.f64 b)))
(/.f64 (sqrt.f64 b) (/.f64 (hypot.f64 c d) (sqrt.f64 b)))
(/.f64 (neg.f64 b) (neg.f64 (hypot.f64 c d)))
(/.f64 (/.f64 b (sqrt.f64 (hypot.f64 c d))) (sqrt.f64 (hypot.f64 c d)))
(/.f64 (*.f64 b -1) (neg.f64 (hypot.f64 c d)))
(/.f64 (*.f64 -1 b) (neg.f64 (hypot.f64 c d)))
(/.f64 (/.f64 b 1) (hypot.f64 c d))
(/.f64 (/.f64 b (pow.f64 (cbrt.f64 (hypot.f64 c d)) 2)) (cbrt.f64 (hypot.f64 c d)))
(pow.f64 (/.f64 b (hypot.f64 c d)) 1)
(pow.f64 (cbrt.f64 (/.f64 b (hypot.f64 c d))) 3)
(pow.f64 (pow.f64 (/.f64 b (hypot.f64 c d)) 3) 1/3)
(pow.f64 (sqrt.f64 (/.f64 b (hypot.f64 c d))) 2)
(sqrt.f64 (pow.f64 (/.f64 b (hypot.f64 c d)) 2))
(log.f64 (exp.f64 (/.f64 b (hypot.f64 c d))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 b (hypot.f64 c d)))))
(cbrt.f64 (pow.f64 (/.f64 b (hypot.f64 c d)) 3))
(cbrt.f64 (*.f64 (pow.f64 b 3) (pow.f64 (/.f64 1 (hypot.f64 c d)) 3)))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 1 (hypot.f64 c d)) 3) (pow.f64 b 3)))
(cbrt.f64 (/.f64 (pow.f64 b 3) (pow.f64 (hypot.f64 c d) 3)))
(expm1.f64 (log1p.f64 (/.f64 b (hypot.f64 c d))))
(exp.f64 (log.f64 (/.f64 b (hypot.f64 c d))))
(exp.f64 (*.f64 (log.f64 (/.f64 b (hypot.f64 c d))) 1))
(log1p.f64 (expm1.f64 (/.f64 b (hypot.f64 c d))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 a (/.f64 c d)))) 1)
(*.f64 a (/.f64 c d))
(*.f64 c (/.f64 a d))
(*.f64 1 (*.f64 a (/.f64 c d)))
(*.f64 (*.f64 a (/.f64 c d)) 1)
(*.f64 (cbrt.f64 (*.f64 a (/.f64 c d))) (cbrt.f64 (pow.f64 (*.f64 a (/.f64 c d)) 2)))
(*.f64 (cbrt.f64 (pow.f64 (*.f64 a (/.f64 c d)) 2)) (cbrt.f64 (*.f64 a (/.f64 c d))))
(*.f64 (pow.f64 (cbrt.f64 a) 2) (*.f64 (cbrt.f64 a) (/.f64 c d)))
(*.f64 (sqrt.f64 (*.f64 a (/.f64 c d))) (sqrt.f64 (*.f64 a (/.f64 c d))))
(*.f64 (sqrt.f64 a) (*.f64 (sqrt.f64 a) (/.f64 c d)))
(*.f64 (neg.f64 a) (/.f64 1 (/.f64 (neg.f64 d) c)))
(*.f64 (/.f64 c d) a)
(*.f64 (/.f64 a d) c)
(*.f64 (/.f64 (pow.f64 (cbrt.f64 a) 2) 1) (/.f64 (cbrt.f64 a) (/.f64 d c)))
(*.f64 (/.f64 (sqrt.f64 a) 1) (/.f64 (sqrt.f64 a) (/.f64 d c)))
(*.f64 (/.f64 (sqrt.f64 a) d) (/.f64 (sqrt.f64 a) (/.f64 1 c)))
(*.f64 (/.f64 a 1) (/.f64 c d))
(*.f64 (/.f64 1 d) (/.f64 a (/.f64 1 c)))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (/.f64 d c)) 2)) (/.f64 a (cbrt.f64 (/.f64 d c))))
(*.f64 (/.f64 1 (sqrt.f64 (/.f64 d c))) (/.f64 a (sqrt.f64 (/.f64 d c))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 a) 2) d) (/.f64 (cbrt.f64 a) (/.f64 1 c)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 a) 2) (pow.f64 (cbrt.f64 (/.f64 d c)) 2)) (cbrt.f64 (*.f64 a (/.f64 c d))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 a) 2) (sqrt.f64 (/.f64 d c))) (/.f64 (cbrt.f64 a) (sqrt.f64 (/.f64 d c))))
(*.f64 (/.f64 (sqrt.f64 a) (pow.f64 (cbrt.f64 (/.f64 d c)) 2)) (/.f64 (sqrt.f64 a) (cbrt.f64 (/.f64 d c))))
(*.f64 (*.f64 (/.f64 a d) 1) c)
(*.f64 (*.f64 (/.f64 a d) (pow.f64 (cbrt.f64 c) 2)) (cbrt.f64 c))
(*.f64 (*.f64 (/.f64 a d) (sqrt.f64 c)) (sqrt.f64 c))
(*.f64 (/.f64 a (neg.f64 d)) (neg.f64 c))
(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)
(pow.f64 (/.f64 d (*.f64 a c)) -1)
(neg.f64 (/.f64 a (/.f64 (neg.f64 d) c)))
(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))))
(exp.f64 (log.f64 (*.f64 a (/.f64 c d))))
(exp.f64 (*.f64 (log.f64 (*.f64 a (/.f64 c d))) 1))
(log1p.f64 (expm1.f64 (*.f64 a (/.f64 c d))))
(+.f64 (/.f64 b (hypot.f64 c d)) (/.f64 (*.f64 a (/.f64 c d)) (hypot.f64 c d)))
(+.f64 (/.f64 b (hypot.f64 c d)) (*.f64 (/.f64 (*.f64 a (/.f64 c d)) (hypot.f64 c d)) 1))
(+.f64 (/.f64 (*.f64 a (/.f64 c d)) (hypot.f64 c d)) (/.f64 b (hypot.f64 c d)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (fma.f64 a (/.f64 c d) b) (hypot.f64 c d)))) 1)
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(/.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 (hypot.f64 c d) (cbrt.f64 (fma.f64 a (/.f64 c d) b))))
(/.f64 (sqrt.f64 (fma.f64 a (/.f64 c d) b)) (/.f64 (hypot.f64 c d) (sqrt.f64 (fma.f64 a (/.f64 c d) b))))
(/.f64 (+.f64 (pow.f64 (*.f64 a (/.f64 c d)) 3) (pow.f64 b 3)) (*.f64 (hypot.f64 c d) (fma.f64 b b (*.f64 (*.f64 a (/.f64 c d)) (-.f64 (*.f64 a (/.f64 c d)) b)))))
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(/.f64 (*.f64 (+.f64 (pow.f64 (*.f64 a (/.f64 c d)) 3) (pow.f64 b 3)) -1) (*.f64 (fma.f64 b b (*.f64 (*.f64 a (/.f64 c d)) (-.f64 (*.f64 a (/.f64 c d)) b))) (neg.f64 (hypot.f64 c d))))
(/.f64 (*.f64 (-.f64 (pow.f64 b 2) (pow.f64 (*.f64 a (/.f64 c d)) 2)) 1) (*.f64 (-.f64 b (*.f64 a (/.f64 c d))) (hypot.f64 c d)))
(/.f64 (*.f64 (-.f64 (pow.f64 b 2) (pow.f64 (*.f64 a (/.f64 c d)) 2)) -1) (*.f64 (-.f64 b (*.f64 a (/.f64 c d))) (neg.f64 (hypot.f64 c d))))
(/.f64 (neg.f64 (fma.f64 a (/.f64 c d) b)) (neg.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 (/.f64 b (hypot.f64 c d)) 3) (pow.f64 (/.f64 (*.f64 a (/.f64 c d)) (hypot.f64 c d)) 3)) (+.f64 (pow.f64 (/.f64 b (hypot.f64 c d)) 2) (-.f64 (*.f64 (/.f64 (*.f64 a (/.f64 c d)) (hypot.f64 c d)) (/.f64 (*.f64 a (/.f64 c d)) (hypot.f64 c d))) (*.f64 (/.f64 b (hypot.f64 c d)) (/.f64 (*.f64 a (/.f64 c d)) (hypot.f64 c d))))))
(/.f64 (-.f64 (pow.f64 (/.f64 b (hypot.f64 c d)) 2) (*.f64 (/.f64 (*.f64 a (/.f64 c d)) (hypot.f64 c d)) (/.f64 (*.f64 a (/.f64 c d)) (hypot.f64 c d)))) (-.f64 (/.f64 b (hypot.f64 c d)) (/.f64 (*.f64 a (/.f64 c d)) (hypot.f64 c d))))
(/.f64 (*.f64 (/.f64 1 (hypot.f64 c d)) (+.f64 (pow.f64 (*.f64 a (/.f64 c d)) 3) (pow.f64 b 3))) (fma.f64 b b (*.f64 (*.f64 a (/.f64 c d)) (-.f64 (*.f64 a (/.f64 c d)) b))))
(/.f64 (*.f64 (/.f64 1 (hypot.f64 c d)) (-.f64 (pow.f64 b 2) (pow.f64 (*.f64 a (/.f64 c d)) 2))) (-.f64 b (*.f64 a (/.f64 c d))))
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(/.f64 (*.f64 -1 (fma.f64 a (/.f64 c d) b)) (neg.f64 (hypot.f64 c d)))
(/.f64 (*.f64 (+.f64 (pow.f64 (*.f64 a (/.f64 c d)) 3) (pow.f64 b 3)) (/.f64 1 (hypot.f64 c d))) (fma.f64 b b (*.f64 (*.f64 a (/.f64 c d)) (-.f64 (*.f64 a (/.f64 c d)) b))))
(/.f64 (*.f64 (-.f64 (pow.f64 b 2) (pow.f64 (*.f64 a (/.f64 c d)) 2)) (/.f64 1 (hypot.f64 c d))) (-.f64 b (*.f64 a (/.f64 c d))))
(/.f64 (/.f64 (fma.f64 a (/.f64 c d) b) 1) (hypot.f64 c d))
(/.f64 (/.f64 (fma.f64 a (/.f64 c d) b) (pow.f64 (cbrt.f64 (hypot.f64 c d)) 2)) (cbrt.f64 (hypot.f64 c d)))
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(cbrt.f64 (*.f64 (pow.f64 (fma.f64 a (/.f64 c d) b) 3) (pow.f64 (/.f64 1 (hypot.f64 c d)) 3)))
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(exp.f64 (*.f64 (log.f64 (/.f64 (fma.f64 a (/.f64 c d) b) (hypot.f64 c d))) 1))
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(fma.f64 b (/.f64 1 (hypot.f64 c d)) (/.f64 (*.f64 a (/.f64 c d)) (hypot.f64 c d)))
(fma.f64 1 (/.f64 b (hypot.f64 c d)) (/.f64 (*.f64 a (/.f64 c d)) (hypot.f64 c d)))
(fma.f64 (/.f64 1 (hypot.f64 c d)) b (/.f64 (*.f64 a (/.f64 c d)) (hypot.f64 c d)))
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(/.f64 (+.f64 (pow.f64 (*.f64 a (/.f64 c d)) 3) (pow.f64 b 3)) (+.f64 (pow.f64 (*.f64 a (/.f64 c d)) 2) (-.f64 (pow.f64 b 2) (*.f64 b (*.f64 a (/.f64 c d))))))
(/.f64 (-.f64 (pow.f64 b 2) (pow.f64 (*.f64 a (/.f64 c d)) 2)) (-.f64 b (*.f64 a (/.f64 c d))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 a (/.f64 c d)) 3) (pow.f64 b 3))) (neg.f64 (fma.f64 b b (*.f64 (*.f64 a (/.f64 c d)) (-.f64 (*.f64 a (/.f64 c d)) b)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 b 2) (pow.f64 (*.f64 a (/.f64 c d)) 2))) (neg.f64 (-.f64 b (*.f64 a (/.f64 c d)))))
(/.f64 (-.f64 (pow.f64 (*.f64 a (/.f64 c d)) 2) (pow.f64 b 2)) (-.f64 (*.f64 a (/.f64 c d)) b))
(pow.f64 (fma.f64 a (/.f64 c d) b) 1)
(pow.f64 (cbrt.f64 (fma.f64 a (/.f64 c d) b)) 3)
(pow.f64 (pow.f64 (fma.f64 a (/.f64 c d) b) 3) 1/3)
(pow.f64 (sqrt.f64 (fma.f64 a (/.f64 c d) b)) 2)
(sqrt.f64 (pow.f64 (fma.f64 a (/.f64 c d) b) 2))
(log.f64 (exp.f64 (fma.f64 a (/.f64 c d) b)))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 a (/.f64 c d) b))))
(cbrt.f64 (pow.f64 (fma.f64 a (/.f64 c d) b) 3))
(expm1.f64 (log1p.f64 (fma.f64 a (/.f64 c d) b)))
(exp.f64 (log.f64 (fma.f64 a (/.f64 c d) b)))
(exp.f64 (*.f64 (log.f64 (fma.f64 a (/.f64 c d) b)) 1))
(log1p.f64 (expm1.f64 (fma.f64 a (/.f64 c d) b)))
(fma.f64 a (/.f64 c d) b)
(fma.f64 1 b (*.f64 a (/.f64 c d)))
(fma.f64 1 (*.f64 a (/.f64 c d)) b)
(fma.f64 (cbrt.f64 (pow.f64 (*.f64 a (/.f64 c d)) 2)) (cbrt.f64 (*.f64 a (/.f64 c d))) b)
(fma.f64 (pow.f64 (cbrt.f64 b) 2) (cbrt.f64 b) (*.f64 a (/.f64 c d)))
(fma.f64 (sqrt.f64 (*.f64 a (/.f64 c d))) (sqrt.f64 (*.f64 a (/.f64 c d))) b)
(fma.f64 (sqrt.f64 b) (sqrt.f64 b) (*.f64 a (/.f64 c d)))
(fma.f64 (/.f64 a d) c b)
(-.f64 (exp.f64 (log1p.f64 (*.f64 c (pow.f64 (hypot.f64 c d) -2)))) 1)
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(pow.f64 (pow.f64 (*.f64 c (pow.f64 (hypot.f64 c d) -2)) 3) 1/3)
(pow.f64 (/.f64 (sqrt.f64 c) (hypot.f64 c d)) 2)
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(log.f64 (+.f64 1 (expm1.f64 (*.f64 c (pow.f64 (hypot.f64 c d) -2)))))
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(cbrt.f64 (/.f64 (pow.f64 c 3) (pow.f64 (pow.f64 (hypot.f64 c d) 2) 3)))
(expm1.f64 (log1p.f64 (*.f64 c (pow.f64 (hypot.f64 c d) -2))))
(exp.f64 (log.f64 (*.f64 c (pow.f64 (hypot.f64 c d) -2))))
(exp.f64 (*.f64 (log.f64 (*.f64 c (pow.f64 (hypot.f64 c d) -2))) 1))
(log1p.f64 (expm1.f64 (*.f64 c (pow.f64 (hypot.f64 c d) -2))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 c (*.f64 (pow.f64 (hypot.f64 c d) -2) a)))) 1)
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(/.f64 1 (/.f64 (pow.f64 (hypot.f64 c d) 2) (*.f64 a c)))
(/.f64 (*.f64 a c) (pow.f64 (hypot.f64 c d) 2))
(/.f64 (neg.f64 (*.f64 a c)) (neg.f64 (pow.f64 (hypot.f64 c d) 2)))
(/.f64 (*.f64 a (neg.f64 c)) (neg.f64 (pow.f64 (hypot.f64 c d) 2)))
(/.f64 (*.f64 (neg.f64 c) a) (neg.f64 (pow.f64 (hypot.f64 c d) 2)))
(/.f64 (/.f64 (*.f64 a c) (hypot.f64 c d)) (hypot.f64 c d))
(/.f64 (/.f64 (*.f64 a c) 1) (pow.f64 (hypot.f64 c d) 2))
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(pow.f64 (cbrt.f64 (*.f64 c (*.f64 (pow.f64 (hypot.f64 c d) -2) a))) 3)
(pow.f64 (pow.f64 (*.f64 c (*.f64 (pow.f64 (hypot.f64 c d) -2) a)) 3) 1/3)
(pow.f64 (/.f64 (sqrt.f64 (*.f64 a c)) (hypot.f64 c d)) 2)
(sqrt.f64 (pow.f64 (*.f64 c (*.f64 (pow.f64 (hypot.f64 c d) -2) a)) 2))
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(log.f64 (+.f64 1 (expm1.f64 (*.f64 c (*.f64 (pow.f64 (hypot.f64 c d) -2) a)))))
(cbrt.f64 (pow.f64 (*.f64 c (*.f64 (pow.f64 (hypot.f64 c d) -2) a)) 3))
(cbrt.f64 (*.f64 (pow.f64 a 3) (pow.f64 (*.f64 c (pow.f64 (hypot.f64 c d) -2)) 3)))
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(log1p.f64 (expm1.f64 (*.f64 c (*.f64 (pow.f64 (hypot.f64 c d) -2) a))))
(+.f64 (pow.f64 c 2) (pow.f64 d 2))
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(-.f64 (exp.f64 (log1p.f64 (pow.f64 (hypot.f64 c d) 2))) 1)
(*.f64 (hypot.f64 c d) (hypot.f64 c d))
(*.f64 1 (pow.f64 (hypot.f64 c d) 2))
(*.f64 (pow.f64 (hypot.f64 c d) 2) 1)
(*.f64 (pow.f64 (cbrt.f64 (hypot.f64 c d)) 2) (cbrt.f64 (pow.f64 (hypot.f64 c d) 4)))
(*.f64 (pow.f64 (cbrt.f64 (hypot.f64 c d)) 2) (*.f64 (cbrt.f64 (hypot.f64 c d)) (hypot.f64 c d)))
(*.f64 (cbrt.f64 (pow.f64 (hypot.f64 c d) 4)) (pow.f64 (cbrt.f64 (hypot.f64 c d)) 2))
(*.f64 (sqrt.f64 (hypot.f64 c d)) (*.f64 (sqrt.f64 (hypot.f64 c d)) (hypot.f64 c d)))
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(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (hypot.f64 c d) 2))))
(cbrt.f64 (pow.f64 (pow.f64 (hypot.f64 c d) 2) 3))
(expm1.f64 (log1p.f64 (pow.f64 (hypot.f64 c d) 2)))
(exp.f64 (log.f64 (pow.f64 (hypot.f64 c d) 2)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (hypot.f64 c d) 2)) 1))
(log1p.f64 (expm1.f64 (pow.f64 (hypot.f64 c d) 2)))
(fma.f64 c c (pow.f64 d 2))

simplify235.0ms (2.2%)

Algorithm
egg-herbie
Rules
1288×fma-def
1284×associate-*r*
856×times-frac
654×associate-+r+
496×associate-+l+
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
099532000
1284330248
Stop Event
node limit
Counts
580 → 593
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 (*.f64 -1/2 (/.f64 (*.f64 b (pow.f64 c 2)) (pow.f64 d 3))) (/.f64 b d))
(+.f64 (*.f64 -1 (*.f64 (pow.f64 c 4) (+.f64 (*.f64 -1/4 (/.f64 b (pow.f64 d 5))) (*.f64 -1/8 (/.f64 b (pow.f64 d 5)))))) (+.f64 (*.f64 -1/2 (/.f64 (*.f64 b (pow.f64 c 2)) (pow.f64 d 3))) (/.f64 b d)))
(+.f64 (*.f64 -1 (*.f64 (pow.f64 c 4) (+.f64 (*.f64 -1/4 (/.f64 b (pow.f64 d 5))) (*.f64 -1/8 (/.f64 b (pow.f64 d 5)))))) (+.f64 (*.f64 -1 (*.f64 (pow.f64 c 6) (+.f64 (*.f64 -1/2 (/.f64 (+.f64 (*.f64 -1/4 (/.f64 b (pow.f64 d 5))) (*.f64 -1/8 (/.f64 b (pow.f64 d 5)))) (pow.f64 d 2))) (*.f64 1/8 (/.f64 b (pow.f64 d 7)))))) (+.f64 (*.f64 -1/2 (/.f64 (*.f64 b (pow.f64 c 2)) (pow.f64 d 3))) (/.f64 b d))))
(/.f64 b c)
(+.f64 (*.f64 -1/2 (/.f64 (*.f64 b (pow.f64 d 2)) (pow.f64 c 3))) (/.f64 b c))
(+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1/4 (*.f64 b (pow.f64 d 4))) (*.f64 -1/8 (*.f64 b (pow.f64 d 4)))) (pow.f64 c 5))) (+.f64 (*.f64 -1/2 (/.f64 (*.f64 b (pow.f64 d 2)) (pow.f64 c 3))) (/.f64 b c)))
(+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 d 2) (+.f64 (*.f64 -1/4 (*.f64 b (pow.f64 d 4))) (*.f64 -1/8 (*.f64 b (pow.f64 d 4)))))) (*.f64 1/8 (*.f64 b (pow.f64 d 6)))) (pow.f64 c 7))) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1/4 (*.f64 b (pow.f64 d 4))) (*.f64 -1/8 (*.f64 b (pow.f64 d 4)))) (pow.f64 c 5))) (+.f64 (*.f64 -1/2 (/.f64 (*.f64 b (pow.f64 d 2)) (pow.f64 c 3))) (/.f64 b c))))
(*.f64 -1 (/.f64 b c))
(+.f64 (*.f64 -1 (/.f64 b c)) (*.f64 1/2 (/.f64 (*.f64 b (pow.f64 d 2)) (pow.f64 c 3))))
(+.f64 (*.f64 -1 (/.f64 b c)) (+.f64 (*.f64 -1/4 (/.f64 (*.f64 b (pow.f64 d 4)) (pow.f64 c 5))) (+.f64 (*.f64 -1/8 (/.f64 (*.f64 b (pow.f64 d 4)) (pow.f64 c 5))) (*.f64 1/2 (/.f64 (*.f64 b (pow.f64 d 2)) (pow.f64 c 3))))))
(+.f64 (*.f64 -1 (/.f64 b c)) (+.f64 (*.f64 -1/2 (/.f64 (*.f64 (pow.f64 d 2) (+.f64 (*.f64 -1/4 (*.f64 b (pow.f64 d 4))) (*.f64 -1/8 (*.f64 b (pow.f64 d 4))))) (pow.f64 c 7))) (+.f64 (*.f64 -1/4 (/.f64 (*.f64 b (pow.f64 d 4)) (pow.f64 c 5))) (+.f64 (*.f64 -1/8 (/.f64 (*.f64 b (pow.f64 d 4)) (pow.f64 c 5))) (+.f64 (*.f64 1/8 (/.f64 (*.f64 b (pow.f64 d 6)) (pow.f64 c 7))) (*.f64 1/2 (/.f64 (*.f64 b (pow.f64 d 2)) (pow.f64 c 3))))))))
(/.f64 b c)
(+.f64 (*.f64 -1/2 (/.f64 (*.f64 b (pow.f64 d 2)) (pow.f64 c 3))) (/.f64 b c))
(+.f64 (*.f64 -1 (*.f64 (pow.f64 d 4) (+.f64 (*.f64 -1/4 (/.f64 b (pow.f64 c 5))) (*.f64 -1/8 (/.f64 b (pow.f64 c 5)))))) (+.f64 (*.f64 -1/2 (/.f64 (*.f64 b (pow.f64 d 2)) (pow.f64 c 3))) (/.f64 b c)))
(+.f64 (*.f64 -1 (*.f64 (pow.f64 d 4) (+.f64 (*.f64 -1/4 (/.f64 b (pow.f64 c 5))) (*.f64 -1/8 (/.f64 b (pow.f64 c 5)))))) (+.f64 (*.f64 -1 (*.f64 (pow.f64 d 6) (+.f64 (*.f64 -1/2 (/.f64 (+.f64 (*.f64 -1/4 (/.f64 b (pow.f64 c 5))) (*.f64 -1/8 (/.f64 b (pow.f64 c 5)))) (pow.f64 c 2))) (*.f64 1/8 (/.f64 b (pow.f64 c 7)))))) (+.f64 (*.f64 -1/2 (/.f64 (*.f64 b (pow.f64 d 2)) (pow.f64 c 3))) (/.f64 b c))))
(/.f64 b d)
(+.f64 (*.f64 -1/2 (/.f64 (*.f64 b (pow.f64 c 2)) (pow.f64 d 3))) (/.f64 b d))
(+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1/4 (*.f64 b (pow.f64 c 4))) (*.f64 -1/8 (*.f64 b (pow.f64 c 4)))) (pow.f64 d 5))) (+.f64 (*.f64 -1/2 (/.f64 (*.f64 b (pow.f64 c 2)) (pow.f64 d 3))) (/.f64 b d)))
(+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 c 2) (+.f64 (*.f64 -1/4 (*.f64 b (pow.f64 c 4))) (*.f64 -1/8 (*.f64 b (pow.f64 c 4)))))) (*.f64 1/8 (*.f64 b (pow.f64 c 6)))) (pow.f64 d 7))) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1/4 (*.f64 b (pow.f64 c 4))) (*.f64 -1/8 (*.f64 b (pow.f64 c 4)))) (pow.f64 d 5))) (+.f64 (*.f64 -1/2 (/.f64 (*.f64 b (pow.f64 c 2)) (pow.f64 d 3))) (/.f64 b d))))
(*.f64 -1 (/.f64 b d))
(+.f64 (*.f64 -1 (/.f64 b d)) (*.f64 1/2 (/.f64 (*.f64 b (pow.f64 c 2)) (pow.f64 d 3))))
(+.f64 (*.f64 -1 (/.f64 b d)) (+.f64 (*.f64 -1/4 (/.f64 (*.f64 b (pow.f64 c 4)) (pow.f64 d 5))) (+.f64 (*.f64 -1/8 (/.f64 (*.f64 b (pow.f64 c 4)) (pow.f64 d 5))) (*.f64 1/2 (/.f64 (*.f64 b (pow.f64 c 2)) (pow.f64 d 3))))))
(+.f64 (*.f64 -1 (/.f64 b d)) (+.f64 (*.f64 -1/2 (/.f64 (*.f64 (pow.f64 c 2) (+.f64 (*.f64 -1/4 (*.f64 b (pow.f64 c 4))) (*.f64 -1/8 (*.f64 b (pow.f64 c 4))))) (pow.f64 d 7))) (+.f64 (*.f64 -1/4 (/.f64 (*.f64 b (pow.f64 c 4)) (pow.f64 d 5))) (+.f64 (*.f64 -1/8 (/.f64 (*.f64 b (pow.f64 c 4)) (pow.f64 d 5))) (+.f64 (*.f64 1/8 (/.f64 (*.f64 b (pow.f64 c 6)) (pow.f64 d 7))) (*.f64 1/2 (/.f64 (*.f64 b (pow.f64 c 2)) (pow.f64 d 3))))))))
(*.f64 b (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 c 2) (pow.f64 d 2)))))
(*.f64 b (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 c 2) (pow.f64 d 2)))))
(*.f64 b (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 c 2) (pow.f64 d 2)))))
(*.f64 b (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 c 2) (pow.f64 d 2)))))
(*.f64 b (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 c 2) (pow.f64 d 2)))))
(*.f64 b (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 c 2) (pow.f64 d 2)))))
(*.f64 b (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 c 2) (pow.f64 d 2)))))
(*.f64 b (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 c 2) (pow.f64 d 2)))))
(*.f64 b (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 c 2) (pow.f64 d 2)))))
(*.f64 b (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 c 2) (pow.f64 d 2)))))
(*.f64 b (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 c 2) (pow.f64 d 2)))))
(*.f64 b (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 c 2) (pow.f64 d 2)))))
(/.f64 (*.f64 a c) d)
(/.f64 (*.f64 a c) d)
(/.f64 (*.f64 a c) d)
(/.f64 (*.f64 a c) d)
(/.f64 (*.f64 a c) d)
(/.f64 (*.f64 a c) d)
(/.f64 (*.f64 a c) d)
(/.f64 (*.f64 a c) d)
(/.f64 (*.f64 a c) d)
(/.f64 (*.f64 a c) d)
(/.f64 (*.f64 a c) d)
(/.f64 (*.f64 a c) d)
(/.f64 (*.f64 a c) d)
(/.f64 (*.f64 a c) d)
(/.f64 (*.f64 a c) d)
(/.f64 (*.f64 a c) d)
(/.f64 (*.f64 a c) d)
(/.f64 (*.f64 a c) d)
(/.f64 (*.f64 a c) d)
(/.f64 (*.f64 a c) d)
(/.f64 (*.f64 a c) d)
(/.f64 (*.f64 a c) d)
(/.f64 (*.f64 a c) d)
(/.f64 (*.f64 a c) d)
(/.f64 (*.f64 a c) d)
(/.f64 (*.f64 a c) d)
(/.f64 (*.f64 a c) d)
(/.f64 (*.f64 a c) d)
(/.f64 (*.f64 a c) d)
(/.f64 (*.f64 a c) d)
(/.f64 (*.f64 a c) d)
(/.f64 (*.f64 a c) d)
(/.f64 (*.f64 a c) d)
(/.f64 (*.f64 a c) d)
(/.f64 (*.f64 a c) d)
(/.f64 (*.f64 a c) d)
(/.f64 b d)
(+.f64 (/.f64 b d) (/.f64 (*.f64 a c) (pow.f64 d 2)))
(+.f64 (*.f64 -1/2 (/.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 -1/2 (/.f64 (*.f64 a (pow.f64 c 3)) (pow.f64 d 4))) (+.f64 (*.f64 -1/2 (/.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 d)
(+.f64 (/.f64 a d) (/.f64 b c))
(+.f64 (*.f64 -1/2 (/.f64 (*.f64 a d) (pow.f64 c 2))) (+.f64 (/.f64 a d) (/.f64 b c)))
(+.f64 (*.f64 -1/2 (/.f64 (*.f64 a d) (pow.f64 c 2))) (+.f64 (*.f64 -1/2 (/.f64 (*.f64 b (pow.f64 d 2)) (pow.f64 c 3))) (+.f64 (/.f64 a d) (/.f64 b c))))
(*.f64 -1 (/.f64 a d))
(+.f64 (*.f64 -1 (/.f64 a d)) (*.f64 -1 (/.f64 b c)))
(+.f64 (*.f64 -1 (/.f64 a d)) (+.f64 (*.f64 -1 (/.f64 b c)) (*.f64 1/2 (/.f64 (*.f64 a d) (pow.f64 c 2)))))
(+.f64 (*.f64 -1 (/.f64 a d)) (+.f64 (*.f64 -1 (/.f64 b c)) (+.f64 (*.f64 1/2 (/.f64 (*.f64 a d) (pow.f64 c 2))) (*.f64 1/2 (/.f64 (*.f64 b (pow.f64 d 2)) (pow.f64 c 3))))))
(/.f64 a d)
(+.f64 (/.f64 a d) (/.f64 b c))
(+.f64 (*.f64 -1/2 (/.f64 (*.f64 a d) (pow.f64 c 2))) (+.f64 (/.f64 a d) (/.f64 b c)))
(+.f64 (*.f64 -1/2 (/.f64 (*.f64 a d) (pow.f64 c 2))) (+.f64 (*.f64 -1/2 (/.f64 (*.f64 b (pow.f64 d 2)) (pow.f64 c 3))) (+.f64 (/.f64 a d) (/.f64 b c))))
(/.f64 b d)
(+.f64 (/.f64 b d) (/.f64 (*.f64 a c) (pow.f64 d 2)))
(+.f64 (*.f64 -1/2 (/.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 -1/2 (/.f64 (*.f64 a (pow.f64 c 3)) (pow.f64 d 4))) (+.f64 (*.f64 -1/2 (/.f64 (*.f64 b (pow.f64 c 2)) (pow.f64 d 3))) (+.f64 (/.f64 b d) (/.f64 (*.f64 a c) (pow.f64 d 2)))))
(*.f64 -1 (/.f64 b d))
(+.f64 (*.f64 -1 (/.f64 b d)) (*.f64 -1 (/.f64 (*.f64 a c) (pow.f64 d 2))))
(+.f64 (*.f64 -1 (/.f64 b d)) (+.f64 (*.f64 -1 (/.f64 (*.f64 a c) (pow.f64 d 2))) (*.f64 1/2 (/.f64 (*.f64 b (pow.f64 c 2)) (pow.f64 d 3)))))
(+.f64 (*.f64 -1 (/.f64 b d)) (+.f64 (*.f64 -1 (/.f64 (*.f64 a c) (pow.f64 d 2))) (+.f64 (*.f64 1/2 (/.f64 (*.f64 a (pow.f64 c 3)) (pow.f64 d 4))) (*.f64 1/2 (/.f64 (*.f64 b (pow.f64 c 2)) (pow.f64 d 3))))))
(*.f64 (/.f64 (*.f64 a c) d) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 c 2) (pow.f64 d 2)))))
(+.f64 (*.f64 b (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 c 2) (pow.f64 d 2))))) (*.f64 (/.f64 (*.f64 a c) d) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 c 2) (pow.f64 d 2))))))
(+.f64 (*.f64 b (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 c 2) (pow.f64 d 2))))) (*.f64 (/.f64 (*.f64 a c) d) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 c 2) (pow.f64 d 2))))))
(+.f64 (*.f64 b (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 c 2) (pow.f64 d 2))))) (*.f64 (/.f64 (*.f64 a c) d) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 c 2) (pow.f64 d 2))))))
(*.f64 b (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 c 2) (pow.f64 d 2)))))
(+.f64 (*.f64 b (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 c 2) (pow.f64 d 2))))) (*.f64 (/.f64 (*.f64 a c) d) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 c 2) (pow.f64 d 2))))))
(+.f64 (*.f64 b (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 c 2) (pow.f64 d 2))))) (*.f64 (/.f64 (*.f64 a c) d) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 c 2) (pow.f64 d 2))))))
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(/.f64 (+.f64 (pow.f64 (/.f64 b (hypot.f64 c d)) 3) (pow.f64 (/.f64 (*.f64 a (/.f64 c d)) (hypot.f64 c d)) 3)) (+.f64 (pow.f64 (/.f64 b (hypot.f64 c d)) 2) (-.f64 (*.f64 (/.f64 (*.f64 a (/.f64 c d)) (hypot.f64 c d)) (/.f64 (*.f64 a (/.f64 c d)) (hypot.f64 c d))) (*.f64 (/.f64 b (hypot.f64 c d)) (/.f64 (*.f64 a (/.f64 c d)) (hypot.f64 c d))))))
(/.f64 (-.f64 (pow.f64 (/.f64 b (hypot.f64 c d)) 2) (*.f64 (/.f64 (*.f64 a (/.f64 c d)) (hypot.f64 c d)) (/.f64 (*.f64 a (/.f64 c d)) (hypot.f64 c d)))) (-.f64 (/.f64 b (hypot.f64 c d)) (/.f64 (*.f64 a (/.f64 c d)) (hypot.f64 c d))))
(/.f64 (*.f64 (/.f64 1 (hypot.f64 c d)) (+.f64 (pow.f64 (*.f64 a (/.f64 c d)) 3) (pow.f64 b 3))) (fma.f64 b b (*.f64 (*.f64 a (/.f64 c d)) (-.f64 (*.f64 a (/.f64 c d)) b))))
(/.f64 (*.f64 (/.f64 1 (hypot.f64 c d)) (-.f64 (pow.f64 b 2) (pow.f64 (*.f64 a (/.f64 c d)) 2))) (-.f64 b (*.f64 a (/.f64 c d))))
(/.f64 (*.f64 (fma.f64 a (/.f64 c d) b) -1) (neg.f64 (hypot.f64 c d)))
(/.f64 (*.f64 -1 (fma.f64 a (/.f64 c d) b)) (neg.f64 (hypot.f64 c d)))
(/.f64 (*.f64 (+.f64 (pow.f64 (*.f64 a (/.f64 c d)) 3) (pow.f64 b 3)) (/.f64 1 (hypot.f64 c d))) (fma.f64 b b (*.f64 (*.f64 a (/.f64 c d)) (-.f64 (*.f64 a (/.f64 c d)) b))))
(/.f64 (*.f64 (-.f64 (pow.f64 b 2) (pow.f64 (*.f64 a (/.f64 c d)) 2)) (/.f64 1 (hypot.f64 c d))) (-.f64 b (*.f64 a (/.f64 c d))))
(/.f64 (/.f64 (fma.f64 a (/.f64 c d) b) 1) (hypot.f64 c d))
(/.f64 (/.f64 (fma.f64 a (/.f64 c d) b) (pow.f64 (cbrt.f64 (hypot.f64 c d)) 2)) (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)
(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 (/.f64 1 (hypot.f64 c d)) 3) (pow.f64 (fma.f64 a (/.f64 c d) b) 3)))
(cbrt.f64 (*.f64 (pow.f64 (fma.f64 a (/.f64 c d) b) 3) (pow.f64 (/.f64 1 (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))))
(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))
(log1p.f64 (expm1.f64 (/.f64 (fma.f64 a (/.f64 c d) b) (hypot.f64 c d))))
(fma.f64 b (/.f64 1 (hypot.f64 c d)) (/.f64 (*.f64 a (/.f64 c d)) (hypot.f64 c d)))
(fma.f64 1 (/.f64 b (hypot.f64 c d)) (/.f64 (*.f64 a (/.f64 c d)) (hypot.f64 c d)))
(fma.f64 (/.f64 1 (hypot.f64 c d)) b (/.f64 (*.f64 a (/.f64 c d)) (hypot.f64 c d)))
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 b (hypot.f64 c d))) 2) (cbrt.f64 (/.f64 b (hypot.f64 c d))) (/.f64 (*.f64 a (/.f64 c d)) (hypot.f64 c d)))
(fma.f64 (sqrt.f64 (/.f64 b (hypot.f64 c d))) (sqrt.f64 (/.f64 b (hypot.f64 c d))) (/.f64 (*.f64 a (/.f64 c d)) (hypot.f64 c d)))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 a (/.f64 c d) b))) 1)
(-.f64 (/.f64 (pow.f64 b 2) (-.f64 b (*.f64 a (/.f64 c d)))) (/.f64 (pow.f64 (*.f64 a (/.f64 c d)) 2) (-.f64 b (*.f64 a (/.f64 c d)))))
(*.f64 1 (fma.f64 a (/.f64 c d) b))
(*.f64 (fma.f64 a (/.f64 c d) b) 1)
(*.f64 (cbrt.f64 (fma.f64 a (/.f64 c d) b)) (pow.f64 (cbrt.f64 (fma.f64 a (/.f64 c d) b)) 2))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 a (/.f64 c d) b)) 2) (cbrt.f64 (fma.f64 a (/.f64 c d) b)))
(*.f64 (sqrt.f64 (fma.f64 a (/.f64 c d) b)) (sqrt.f64 (fma.f64 a (/.f64 c d) b)))
(*.f64 (+.f64 (pow.f64 (*.f64 a (/.f64 c d)) 3) (pow.f64 b 3)) (/.f64 1 (fma.f64 b b (*.f64 (*.f64 a (/.f64 c d)) (-.f64 (*.f64 a (/.f64 c d)) b)))))
(*.f64 (-.f64 (pow.f64 b 2) (pow.f64 (*.f64 a (/.f64 c d)) 2)) (/.f64 1 (-.f64 b (*.f64 a (/.f64 c d)))))
(/.f64 1 (/.f64 (fma.f64 b b (*.f64 (*.f64 a (/.f64 c d)) (-.f64 (*.f64 a (/.f64 c d)) b))) (+.f64 (pow.f64 (*.f64 a (/.f64 c d)) 3) (pow.f64 b 3))))
(/.f64 1 (/.f64 (-.f64 b (*.f64 a (/.f64 c d))) (-.f64 (pow.f64 b 2) (pow.f64 (*.f64 a (/.f64 c d)) 2))))
(/.f64 (+.f64 (pow.f64 (*.f64 a (/.f64 c d)) 3) (pow.f64 b 3)) (fma.f64 b b (*.f64 (*.f64 a (/.f64 c d)) (-.f64 (*.f64 a (/.f64 c d)) b))))
(/.f64 (+.f64 (pow.f64 (*.f64 a (/.f64 c d)) 3) (pow.f64 b 3)) (+.f64 (pow.f64 (*.f64 a (/.f64 c d)) 2) (-.f64 (pow.f64 b 2) (*.f64 b (*.f64 a (/.f64 c d))))))
(/.f64 (-.f64 (pow.f64 b 2) (pow.f64 (*.f64 a (/.f64 c d)) 2)) (-.f64 b (*.f64 a (/.f64 c d))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 a (/.f64 c d)) 3) (pow.f64 b 3))) (neg.f64 (fma.f64 b b (*.f64 (*.f64 a (/.f64 c d)) (-.f64 (*.f64 a (/.f64 c d)) b)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 b 2) (pow.f64 (*.f64 a (/.f64 c d)) 2))) (neg.f64 (-.f64 b (*.f64 a (/.f64 c d)))))
(/.f64 (-.f64 (pow.f64 (*.f64 a (/.f64 c d)) 2) (pow.f64 b 2)) (-.f64 (*.f64 a (/.f64 c d)) b))
(pow.f64 (fma.f64 a (/.f64 c d) b) 1)
(pow.f64 (cbrt.f64 (fma.f64 a (/.f64 c d) b)) 3)
(pow.f64 (pow.f64 (fma.f64 a (/.f64 c d) b) 3) 1/3)
(pow.f64 (sqrt.f64 (fma.f64 a (/.f64 c d) b)) 2)
(sqrt.f64 (pow.f64 (fma.f64 a (/.f64 c d) b) 2))
(log.f64 (exp.f64 (fma.f64 a (/.f64 c d) b)))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 a (/.f64 c d) b))))
(cbrt.f64 (pow.f64 (fma.f64 a (/.f64 c d) b) 3))
(expm1.f64 (log1p.f64 (fma.f64 a (/.f64 c d) b)))
(exp.f64 (log.f64 (fma.f64 a (/.f64 c d) b)))
(exp.f64 (*.f64 (log.f64 (fma.f64 a (/.f64 c d) b)) 1))
(log1p.f64 (expm1.f64 (fma.f64 a (/.f64 c d) b)))
(fma.f64 a (/.f64 c d) b)
(fma.f64 1 b (*.f64 a (/.f64 c d)))
(fma.f64 1 (*.f64 a (/.f64 c d)) b)
(fma.f64 (cbrt.f64 (pow.f64 (*.f64 a (/.f64 c d)) 2)) (cbrt.f64 (*.f64 a (/.f64 c d))) b)
(fma.f64 (pow.f64 (cbrt.f64 b) 2) (cbrt.f64 b) (*.f64 a (/.f64 c d)))
(fma.f64 (sqrt.f64 (*.f64 a (/.f64 c d))) (sqrt.f64 (*.f64 a (/.f64 c d))) b)
(fma.f64 (sqrt.f64 b) (sqrt.f64 b) (*.f64 a (/.f64 c d)))
(fma.f64 (/.f64 a d) c b)
(-.f64 (exp.f64 (log1p.f64 (*.f64 c (pow.f64 (hypot.f64 c d) -2)))) 1)
(*.f64 c (pow.f64 (hypot.f64 c d) -2))
(*.f64 1 (*.f64 c (pow.f64 (hypot.f64 c d) -2)))
(*.f64 (/.f64 1 (hypot.f64 c d)) (/.f64 c (hypot.f64 c d)))
(*.f64 (*.f64 c (pow.f64 (hypot.f64 c d) -2)) 1)
(*.f64 (cbrt.f64 (*.f64 c (pow.f64 (hypot.f64 c d) -2))) (cbrt.f64 (/.f64 (pow.f64 c 2) (pow.f64 (hypot.f64 c d) 4))))
(*.f64 (cbrt.f64 (/.f64 (pow.f64 c 2) (pow.f64 (hypot.f64 c d) 4))) (cbrt.f64 (*.f64 c (pow.f64 (hypot.f64 c d) -2))))
(*.f64 (pow.f64 (cbrt.f64 c) 2) (*.f64 (cbrt.f64 c) (pow.f64 (hypot.f64 c d) -2)))
(*.f64 (/.f64 (sqrt.f64 c) (hypot.f64 c d)) (/.f64 (sqrt.f64 c) (hypot.f64 c d)))
(*.f64 (sqrt.f64 c) (*.f64 (sqrt.f64 c) (pow.f64 (hypot.f64 c d) -2)))
(*.f64 (neg.f64 c) (/.f64 1 (neg.f64 (pow.f64 (hypot.f64 c d) 2))))
(*.f64 (pow.f64 (hypot.f64 c d) -2) c)
(*.f64 (/.f64 1 (cbrt.f64 (pow.f64 (hypot.f64 c d) 4))) (/.f64 c (pow.f64 (cbrt.f64 (hypot.f64 c d)) 2)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 c) 2) (hypot.f64 c d)) (/.f64 (cbrt.f64 c) (hypot.f64 c d)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 c) 2) 1) (/.f64 (cbrt.f64 c) (pow.f64 (hypot.f64 c d) 2)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 c) 2) (cbrt.f64 (pow.f64 (hypot.f64 c d) 4))) (cbrt.f64 (*.f64 c (pow.f64 (hypot.f64 c d) -2))))
(*.f64 (/.f64 (sqrt.f64 c) 1) (/.f64 (sqrt.f64 c) (pow.f64 (hypot.f64 c d) 2)))
(*.f64 (/.f64 (sqrt.f64 c) (cbrt.f64 (pow.f64 (hypot.f64 c d) 4))) (/.f64 (sqrt.f64 c) (pow.f64 (cbrt.f64 (hypot.f64 c d)) 2)))
(pow.f64 (*.f64 c (pow.f64 (hypot.f64 c d) -2)) 1)
(pow.f64 (cbrt.f64 (*.f64 c (pow.f64 (hypot.f64 c d) -2))) 3)
(pow.f64 (pow.f64 (*.f64 c (pow.f64 (hypot.f64 c d) -2)) 3) 1/3)
(pow.f64 (/.f64 (sqrt.f64 c) (hypot.f64 c d)) 2)
(pow.f64 (/.f64 (pow.f64 (hypot.f64 c d) 2) c) -1)
(neg.f64 (/.f64 c (neg.f64 (pow.f64 (hypot.f64 c d) 2))))
(sqrt.f64 (/.f64 (pow.f64 c 2) (pow.f64 (hypot.f64 c d) 4)))
(log.f64 (pow.f64 (exp.f64 c) (pow.f64 (hypot.f64 c d) -2)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 c (pow.f64 (hypot.f64 c d) -2)))))
(cbrt.f64 (pow.f64 (*.f64 c (pow.f64 (hypot.f64 c d) -2)) 3))
(cbrt.f64 (/.f64 (pow.f64 c 3) (pow.f64 (pow.f64 (hypot.f64 c d) 2) 3)))
(expm1.f64 (log1p.f64 (*.f64 c (pow.f64 (hypot.f64 c d) -2))))
(exp.f64 (log.f64 (*.f64 c (pow.f64 (hypot.f64 c d) -2))))
(exp.f64 (*.f64 (log.f64 (*.f64 c (pow.f64 (hypot.f64 c d) -2))) 1))
(log1p.f64 (expm1.f64 (*.f64 c (pow.f64 (hypot.f64 c d) -2))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 c (*.f64 (pow.f64 (hypot.f64 c d) -2) a)))) 1)
(/.f64 a (/.f64 (pow.f64 (hypot.f64 c d) 2) c))
(/.f64 1 (/.f64 (pow.f64 (hypot.f64 c d) 2) (*.f64 a c)))
(/.f64 (*.f64 a c) (pow.f64 (hypot.f64 c d) 2))
(/.f64 (neg.f64 (*.f64 a c)) (neg.f64 (pow.f64 (hypot.f64 c d) 2)))
(/.f64 (*.f64 a (neg.f64 c)) (neg.f64 (pow.f64 (hypot.f64 c d) 2)))
(/.f64 (*.f64 (neg.f64 c) a) (neg.f64 (pow.f64 (hypot.f64 c d) 2)))
(/.f64 (/.f64 (*.f64 a c) (hypot.f64 c d)) (hypot.f64 c d))
(/.f64 (/.f64 (*.f64 a c) 1) (pow.f64 (hypot.f64 c d) 2))
(/.f64 (/.f64 (*.f64 a c) (cbrt.f64 (pow.f64 (hypot.f64 c d) 4))) (pow.f64 (cbrt.f64 (hypot.f64 c d)) 2))
(pow.f64 (*.f64 c (*.f64 (pow.f64 (hypot.f64 c d) -2) a)) 1)
(pow.f64 (cbrt.f64 (*.f64 c (*.f64 (pow.f64 (hypot.f64 c d) -2) a))) 3)
(pow.f64 (pow.f64 (*.f64 c (*.f64 (pow.f64 (hypot.f64 c d) -2) a)) 3) 1/3)
(pow.f64 (/.f64 (sqrt.f64 (*.f64 a c)) (hypot.f64 c d)) 2)
(sqrt.f64 (pow.f64 (*.f64 c (*.f64 (pow.f64 (hypot.f64 c d) -2) a)) 2))
(log.f64 (pow.f64 (pow.f64 (exp.f64 c) (pow.f64 (hypot.f64 c d) -2)) a))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 c (*.f64 (pow.f64 (hypot.f64 c d) -2) a)))))
(cbrt.f64 (pow.f64 (*.f64 c (*.f64 (pow.f64 (hypot.f64 c d) -2) a)) 3))
(cbrt.f64 (*.f64 (pow.f64 a 3) (pow.f64 (*.f64 c (pow.f64 (hypot.f64 c d) -2)) 3)))
(cbrt.f64 (*.f64 (pow.f64 (*.f64 c (pow.f64 (hypot.f64 c d) -2)) 3) (pow.f64 a 3)))
(expm1.f64 (log1p.f64 (*.f64 c (*.f64 (pow.f64 (hypot.f64 c d) -2) a))))
(exp.f64 (log.f64 (*.f64 c (*.f64 (pow.f64 (hypot.f64 c d) -2) a))))
(exp.f64 (*.f64 (log.f64 (*.f64 c (*.f64 (pow.f64 (hypot.f64 c d) -2) a))) 1))
(log1p.f64 (expm1.f64 (*.f64 c (*.f64 (pow.f64 (hypot.f64 c d) -2) a))))
(+.f64 (pow.f64 c 2) (pow.f64 d 2))
(+.f64 (pow.f64 d 2) (pow.f64 c 2))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (hypot.f64 c d) 2))) 1)
(*.f64 (hypot.f64 c d) (hypot.f64 c d))
(*.f64 1 (pow.f64 (hypot.f64 c d) 2))
(*.f64 (pow.f64 (hypot.f64 c d) 2) 1)
(*.f64 (pow.f64 (cbrt.f64 (hypot.f64 c d)) 2) (cbrt.f64 (pow.f64 (hypot.f64 c d) 4)))
(*.f64 (pow.f64 (cbrt.f64 (hypot.f64 c d)) 2) (*.f64 (cbrt.f64 (hypot.f64 c d)) (hypot.f64 c d)))
(*.f64 (cbrt.f64 (pow.f64 (hypot.f64 c d) 4)) (pow.f64 (cbrt.f64 (hypot.f64 c d)) 2))
(*.f64 (sqrt.f64 (hypot.f64 c d)) (*.f64 (sqrt.f64 (hypot.f64 c d)) (hypot.f64 c d)))
(*.f64 (*.f64 (hypot.f64 c d) (sqrt.f64 (hypot.f64 c d))) (sqrt.f64 (hypot.f64 c d)))
(*.f64 (*.f64 (hypot.f64 c d) (pow.f64 (cbrt.f64 (hypot.f64 c d)) 2)) (cbrt.f64 (hypot.f64 c d)))
(/.f64 (+.f64 (pow.f64 (pow.f64 c 2) 3) (pow.f64 (pow.f64 d 2) 3)) (+.f64 (*.f64 (pow.f64 c 2) (pow.f64 c 2)) (-.f64 (*.f64 (pow.f64 d 2) (pow.f64 d 2)) (*.f64 (pow.f64 c 2) (pow.f64 d 2)))))
(/.f64 (-.f64 (*.f64 (pow.f64 c 2) (pow.f64 c 2)) (*.f64 (pow.f64 d 2) (pow.f64 d 2))) (-.f64 (pow.f64 c 2) (pow.f64 d 2)))
(sqrt.f64 (pow.f64 (hypot.f64 c d) 4))
(log.f64 (exp.f64 (pow.f64 (hypot.f64 c d) 2)))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (hypot.f64 c d) 2))))
(cbrt.f64 (pow.f64 (pow.f64 (hypot.f64 c d) 2) 3))
(expm1.f64 (log1p.f64 (pow.f64 (hypot.f64 c d) 2)))
(exp.f64 (log.f64 (pow.f64 (hypot.f64 c d) 2)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (hypot.f64 c d) 2)) 1))
(log1p.f64 (expm1.f64 (pow.f64 (hypot.f64 c d) 2)))
(fma.f64 c c (pow.f64 d 2))
Outputs
(/.f64 (*.f64 b d) (+.f64 (pow.f64 c 2) (pow.f64 d 2)))
(/.f64 b (/.f64 (fma.f64 c c (pow.f64 d 2)) d))
(/.f64 b (/.f64 (fma.f64 d d (pow.f64 c 2)) d))
(+.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 (fma.f64 c c (pow.f64 d 2)) d)) (/.f64 a (/.f64 (fma.f64 c c (pow.f64 d 2)) c)))
(+.f64 (/.f64 b (/.f64 (fma.f64 d d (pow.f64 c 2)) d)) (/.f64 a (/.f64 (fma.f64 d d (pow.f64 c 2)) c)))
(+.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 (fma.f64 c c (pow.f64 d 2)) d)) (/.f64 a (/.f64 (fma.f64 c c (pow.f64 d 2)) c)))
(+.f64 (/.f64 b (/.f64 (fma.f64 d d (pow.f64 c 2)) d)) (/.f64 a (/.f64 (fma.f64 d d (pow.f64 c 2)) c)))
(+.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 (fma.f64 c c (pow.f64 d 2)) d)) (/.f64 a (/.f64 (fma.f64 c c (pow.f64 d 2)) c)))
(+.f64 (/.f64 b (/.f64 (fma.f64 d d (pow.f64 c 2)) d)) (/.f64 a (/.f64 (fma.f64 d d (pow.f64 c 2)) c)))
(/.f64 (*.f64 a c) (+.f64 (pow.f64 c 2) (pow.f64 d 2)))
(/.f64 a (/.f64 (fma.f64 c c (pow.f64 d 2)) c))
(/.f64 a (/.f64 (fma.f64 d d (pow.f64 c 2)) c))
(+.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 (fma.f64 c c (pow.f64 d 2)) d)) (/.f64 a (/.f64 (fma.f64 c c (pow.f64 d 2)) c)))
(+.f64 (/.f64 b (/.f64 (fma.f64 d d (pow.f64 c 2)) d)) (/.f64 a (/.f64 (fma.f64 d d (pow.f64 c 2)) c)))
(+.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 (fma.f64 c c (pow.f64 d 2)) d)) (/.f64 a (/.f64 (fma.f64 c c (pow.f64 d 2)) c)))
(+.f64 (/.f64 b (/.f64 (fma.f64 d d (pow.f64 c 2)) d)) (/.f64 a (/.f64 (fma.f64 d d (pow.f64 c 2)) c)))
(+.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 (fma.f64 c c (pow.f64 d 2)) d)) (/.f64 a (/.f64 (fma.f64 c c (pow.f64 d 2)) c)))
(+.f64 (/.f64 b (/.f64 (fma.f64 d d (pow.f64 c 2)) d)) (/.f64 a (/.f64 (fma.f64 d d (pow.f64 c 2)) c)))
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(pow.f64 (/.f64 (sqrt.f64 c) (hypot.f64 c d)) 2)
(/.f64 c (pow.f64 (hypot.f64 c d) 2))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 c) 2) 1) (/.f64 (cbrt.f64 c) (pow.f64 (hypot.f64 c d) 2)))
(pow.f64 (/.f64 (sqrt.f64 c) (hypot.f64 c d)) 2)
(/.f64 c (pow.f64 (hypot.f64 c d) 2))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 c) 2) (cbrt.f64 (pow.f64 (hypot.f64 c d) 4))) (cbrt.f64 (*.f64 c (pow.f64 (hypot.f64 c d) -2))))
(*.f64 (cbrt.f64 (*.f64 c (pow.f64 (hypot.f64 c d) -2))) (/.f64 (pow.f64 (cbrt.f64 c) 2) (cbrt.f64 (pow.f64 (hypot.f64 c d) 4))))
(*.f64 (/.f64 (sqrt.f64 c) 1) (/.f64 (sqrt.f64 c) (pow.f64 (hypot.f64 c d) 2)))
(pow.f64 (/.f64 (sqrt.f64 c) (hypot.f64 c d)) 2)
(/.f64 c (pow.f64 (hypot.f64 c d) 2))
(*.f64 (/.f64 (sqrt.f64 c) (cbrt.f64 (pow.f64 (hypot.f64 c d) 4))) (/.f64 (sqrt.f64 c) (pow.f64 (cbrt.f64 (hypot.f64 c d)) 2)))
(pow.f64 (*.f64 c (pow.f64 (hypot.f64 c d) -2)) 1)
(*.f64 c (pow.f64 (hypot.f64 c d) -2))
(pow.f64 (cbrt.f64 (*.f64 c (pow.f64 (hypot.f64 c d) -2))) 3)
(*.f64 c (pow.f64 (hypot.f64 c d) -2))
(pow.f64 (pow.f64 (*.f64 c (pow.f64 (hypot.f64 c d) -2)) 3) 1/3)
(*.f64 c (pow.f64 (hypot.f64 c d) -2))
(pow.f64 (/.f64 (sqrt.f64 c) (hypot.f64 c d)) 2)
(/.f64 c (pow.f64 (hypot.f64 c d) 2))
(pow.f64 (/.f64 (pow.f64 (hypot.f64 c d) 2) c) -1)
(/.f64 1 (/.f64 (pow.f64 (hypot.f64 c d) 2) c))
(neg.f64 (/.f64 c (neg.f64 (pow.f64 (hypot.f64 c d) 2))))
(*.f64 (neg.f64 c) (/.f64 1 (neg.f64 (pow.f64 (hypot.f64 c d) 2))))
(*.f64 1 (/.f64 c (pow.f64 (hypot.f64 c d) 2)))
(sqrt.f64 (/.f64 (pow.f64 c 2) (pow.f64 (hypot.f64 c d) 4)))
(log.f64 (pow.f64 (exp.f64 c) (pow.f64 (hypot.f64 c d) -2)))
(*.f64 c (pow.f64 (hypot.f64 c d) -2))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 c (pow.f64 (hypot.f64 c d) -2)))))
(*.f64 c (pow.f64 (hypot.f64 c d) -2))
(cbrt.f64 (pow.f64 (*.f64 c (pow.f64 (hypot.f64 c d) -2)) 3))
(*.f64 c (pow.f64 (hypot.f64 c d) -2))
(cbrt.f64 (/.f64 (pow.f64 c 3) (pow.f64 (pow.f64 (hypot.f64 c d) 2) 3)))
(expm1.f64 (log1p.f64 (*.f64 c (pow.f64 (hypot.f64 c d) -2))))
(*.f64 c (pow.f64 (hypot.f64 c d) -2))
(exp.f64 (log.f64 (*.f64 c (pow.f64 (hypot.f64 c d) -2))))
(*.f64 c (pow.f64 (hypot.f64 c d) -2))
(exp.f64 (*.f64 (log.f64 (*.f64 c (pow.f64 (hypot.f64 c d) -2))) 1))
(*.f64 c (pow.f64 (hypot.f64 c d) -2))
(log1p.f64 (expm1.f64 (*.f64 c (pow.f64 (hypot.f64 c d) -2))))
(*.f64 c (pow.f64 (hypot.f64 c d) -2))
(-.f64 (exp.f64 (log1p.f64 (*.f64 c (*.f64 (pow.f64 (hypot.f64 c d) -2) a)))) 1)
(*.f64 c (*.f64 a (pow.f64 (hypot.f64 c d) -2)))
(/.f64 a (/.f64 (pow.f64 (hypot.f64 c d) 2) c))
(*.f64 (/.f64 a (pow.f64 (hypot.f64 c d) 2)) c)
(*.f64 a (/.f64 c (pow.f64 (hypot.f64 c d) 2)))
(/.f64 1 (/.f64 (pow.f64 (hypot.f64 c d) 2) (*.f64 a c)))
(*.f64 (/.f64 1 (pow.f64 (hypot.f64 c d) 2)) (*.f64 c a))
(/.f64 (*.f64 a c) (pow.f64 (hypot.f64 c d) 2))
(*.f64 (/.f64 a (pow.f64 (hypot.f64 c d) 2)) c)
(*.f64 a (/.f64 c (pow.f64 (hypot.f64 c d) 2)))
(/.f64 (neg.f64 (*.f64 a c)) (neg.f64 (pow.f64 (hypot.f64 c d) 2)))
(/.f64 a (/.f64 (neg.f64 (pow.f64 (hypot.f64 c d) 2)) (neg.f64 c)))
(*.f64 1 (*.f64 a (/.f64 c (pow.f64 (hypot.f64 c d) 2))))
(/.f64 (*.f64 a (neg.f64 c)) (neg.f64 (pow.f64 (hypot.f64 c d) 2)))
(/.f64 a (/.f64 (neg.f64 (pow.f64 (hypot.f64 c d) 2)) (neg.f64 c)))
(*.f64 1 (*.f64 a (/.f64 c (pow.f64 (hypot.f64 c d) 2))))
(/.f64 (*.f64 (neg.f64 c) a) (neg.f64 (pow.f64 (hypot.f64 c d) 2)))
(/.f64 a (/.f64 (neg.f64 (pow.f64 (hypot.f64 c d) 2)) (neg.f64 c)))
(*.f64 1 (*.f64 a (/.f64 c (pow.f64 (hypot.f64 c d) 2))))
(/.f64 (/.f64 (*.f64 a c) (hypot.f64 c d)) (hypot.f64 c d))
(*.f64 (/.f64 a (pow.f64 (hypot.f64 c d) 2)) c)
(*.f64 a (/.f64 c (pow.f64 (hypot.f64 c d) 2)))
(/.f64 (/.f64 (*.f64 a c) 1) (pow.f64 (hypot.f64 c d) 2))
(*.f64 (/.f64 a (pow.f64 (hypot.f64 c d) 2)) c)
(*.f64 a (/.f64 c (pow.f64 (hypot.f64 c d) 2)))
(/.f64 (/.f64 (*.f64 a c) (cbrt.f64 (pow.f64 (hypot.f64 c d) 4))) (pow.f64 (cbrt.f64 (hypot.f64 c d)) 2))
(/.f64 (*.f64 c a) (*.f64 (cbrt.f64 (pow.f64 (hypot.f64 c d) 4)) (pow.f64 (cbrt.f64 (hypot.f64 c d)) 2)))
(*.f64 (/.f64 c (pow.f64 (cbrt.f64 (hypot.f64 c d)) 2)) (/.f64 a (cbrt.f64 (pow.f64 (hypot.f64 c d) 4))))
(pow.f64 (*.f64 c (*.f64 (pow.f64 (hypot.f64 c d) -2) a)) 1)
(*.f64 c (*.f64 a (pow.f64 (hypot.f64 c d) -2)))
(pow.f64 (cbrt.f64 (*.f64 c (*.f64 (pow.f64 (hypot.f64 c d) -2) a))) 3)
(*.f64 c (*.f64 a (pow.f64 (hypot.f64 c d) -2)))
(pow.f64 (pow.f64 (*.f64 c (*.f64 (pow.f64 (hypot.f64 c d) -2) a)) 3) 1/3)
(*.f64 c (*.f64 a (pow.f64 (hypot.f64 c d) -2)))
(pow.f64 (/.f64 (sqrt.f64 (*.f64 a c)) (hypot.f64 c d)) 2)
(pow.f64 (/.f64 (sqrt.f64 (*.f64 c a)) (hypot.f64 c d)) 2)
(sqrt.f64 (pow.f64 (*.f64 c (*.f64 (pow.f64 (hypot.f64 c d) -2) a)) 2))
(sqrt.f64 (pow.f64 (*.f64 c (*.f64 a (pow.f64 (hypot.f64 c d) -2))) 2))
(fabs.f64 (*.f64 c (*.f64 a (pow.f64 (hypot.f64 c d) -2))))
(log.f64 (pow.f64 (pow.f64 (exp.f64 c) (pow.f64 (hypot.f64 c d) -2)) a))
(*.f64 c (*.f64 a (pow.f64 (hypot.f64 c d) -2)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 c (*.f64 (pow.f64 (hypot.f64 c d) -2) a)))))
(*.f64 c (*.f64 a (pow.f64 (hypot.f64 c d) -2)))
(cbrt.f64 (pow.f64 (*.f64 c (*.f64 (pow.f64 (hypot.f64 c d) -2) a)) 3))
(*.f64 c (*.f64 a (pow.f64 (hypot.f64 c d) -2)))
(cbrt.f64 (*.f64 (pow.f64 a 3) (pow.f64 (*.f64 c (pow.f64 (hypot.f64 c d) -2)) 3)))
(*.f64 c (*.f64 a (pow.f64 (hypot.f64 c d) -2)))
(cbrt.f64 (*.f64 (pow.f64 (*.f64 c (pow.f64 (hypot.f64 c d) -2)) 3) (pow.f64 a 3)))
(*.f64 c (*.f64 a (pow.f64 (hypot.f64 c d) -2)))
(expm1.f64 (log1p.f64 (*.f64 c (*.f64 (pow.f64 (hypot.f64 c d) -2) a))))
(*.f64 c (*.f64 a (pow.f64 (hypot.f64 c d) -2)))
(exp.f64 (log.f64 (*.f64 c (*.f64 (pow.f64 (hypot.f64 c d) -2) a))))
(*.f64 c (*.f64 a (pow.f64 (hypot.f64 c d) -2)))
(exp.f64 (*.f64 (log.f64 (*.f64 c (*.f64 (pow.f64 (hypot.f64 c d) -2) a))) 1))
(*.f64 c (*.f64 a (pow.f64 (hypot.f64 c d) -2)))
(log1p.f64 (expm1.f64 (*.f64 c (*.f64 (pow.f64 (hypot.f64 c d) -2) a))))
(*.f64 c (*.f64 a (pow.f64 (hypot.f64 c d) -2)))
(+.f64 (pow.f64 c 2) (pow.f64 d 2))
(fma.f64 c c (pow.f64 d 2))
(fma.f64 d d (pow.f64 c 2))
(+.f64 (pow.f64 d 2) (pow.f64 c 2))
(fma.f64 c c (pow.f64 d 2))
(fma.f64 d d (pow.f64 c 2))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (hypot.f64 c d) 2))) 1)
(pow.f64 (hypot.f64 c d) 2)
(*.f64 (hypot.f64 c d) (hypot.f64 c d))
(pow.f64 (hypot.f64 c d) 2)
(*.f64 1 (pow.f64 (hypot.f64 c d) 2))
(pow.f64 (hypot.f64 c d) 2)
(*.f64 (pow.f64 (hypot.f64 c d) 2) 1)
(pow.f64 (hypot.f64 c d) 2)
(*.f64 (pow.f64 (cbrt.f64 (hypot.f64 c d)) 2) (cbrt.f64 (pow.f64 (hypot.f64 c d) 4)))
(*.f64 (cbrt.f64 (pow.f64 (hypot.f64 c d) 4)) (pow.f64 (cbrt.f64 (hypot.f64 c d)) 2))
(*.f64 (pow.f64 (cbrt.f64 (hypot.f64 c d)) 2) (*.f64 (cbrt.f64 (hypot.f64 c d)) (hypot.f64 c d)))
(pow.f64 (hypot.f64 c d) 2)
(*.f64 (cbrt.f64 (pow.f64 (hypot.f64 c d) 4)) (pow.f64 (cbrt.f64 (hypot.f64 c d)) 2))
(*.f64 (sqrt.f64 (hypot.f64 c d)) (*.f64 (sqrt.f64 (hypot.f64 c d)) (hypot.f64 c d)))
(pow.f64 (hypot.f64 c d) 2)
(*.f64 (*.f64 (hypot.f64 c d) (sqrt.f64 (hypot.f64 c d))) (sqrt.f64 (hypot.f64 c d)))
(pow.f64 (hypot.f64 c d) 2)
(*.f64 (*.f64 (hypot.f64 c d) (pow.f64 (cbrt.f64 (hypot.f64 c d)) 2)) (cbrt.f64 (hypot.f64 c d)))
(pow.f64 (hypot.f64 c d) 2)
(/.f64 (+.f64 (pow.f64 (pow.f64 c 2) 3) (pow.f64 (pow.f64 d 2) 3)) (+.f64 (*.f64 (pow.f64 c 2) (pow.f64 c 2)) (-.f64 (*.f64 (pow.f64 d 2) (pow.f64 d 2)) (*.f64 (pow.f64 c 2) (pow.f64 d 2)))))
(/.f64 (+.f64 (pow.f64 (pow.f64 c 2) 3) (pow.f64 (pow.f64 d 2) 3)) (+.f64 (pow.f64 c 4) (-.f64 (pow.f64 d 4) (*.f64 (pow.f64 c 2) (pow.f64 d 2)))))
(/.f64 (+.f64 (pow.f64 c 6) (pow.f64 d 6)) (fma.f64 (pow.f64 d 2) (-.f64 (pow.f64 d 2) (pow.f64 c 2)) (pow.f64 c 4)))
(/.f64 (-.f64 (*.f64 (pow.f64 c 2) (pow.f64 c 2)) (*.f64 (pow.f64 d 2) (pow.f64 d 2))) (-.f64 (pow.f64 c 2) (pow.f64 d 2)))
(/.f64 (-.f64 (pow.f64 c 4) (pow.f64 d 4)) (-.f64 (pow.f64 c 2) (pow.f64 d 2)))
(sqrt.f64 (pow.f64 (hypot.f64 c d) 4))
(log.f64 (exp.f64 (pow.f64 (hypot.f64 c d) 2)))
(pow.f64 (hypot.f64 c d) 2)
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (hypot.f64 c d) 2))))
(pow.f64 (hypot.f64 c d) 2)
(cbrt.f64 (pow.f64 (pow.f64 (hypot.f64 c d) 2) 3))
(pow.f64 (hypot.f64 c d) 2)
(expm1.f64 (log1p.f64 (pow.f64 (hypot.f64 c d) 2)))
(pow.f64 (hypot.f64 c d) 2)
(exp.f64 (log.f64 (pow.f64 (hypot.f64 c d) 2)))
(pow.f64 (hypot.f64 c d) 2)
(exp.f64 (*.f64 (log.f64 (pow.f64 (hypot.f64 c d) 2)) 1))
(pow.f64 (hypot.f64 c d) 2)
(log1p.f64 (expm1.f64 (pow.f64 (hypot.f64 c d) 2)))
(pow.f64 (hypot.f64 c d) 2)
(fma.f64 c c (pow.f64 d 2))
(fma.f64 d d (pow.f64 c 2))

eval524.0ms (4.8%)

Compiler

Compiled 23070 to 12411 computations (46.2% saved)

prune192.0ms (1.8%)

Pruning

32 alts after pruning (27 fresh and 5 done)

PrunedKeptTotal
New96721988
Fresh12618
Picked325
Done134
Total983321015
Accuracy
100.0%
Counts
1015 → 32
Alt Table
Click to see full alt table
StatusAccuracyProgram
73.4%
(/.f64 (/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) (hypot.f64 c d)) (hypot.f64 c d))
30.2%
(/.f64 (-.f64 (/.f64 (*.f64 b (neg.f64 d)) c) a) (hypot.f64 c d))
28.9%
(/.f64 (-.f64 (/.f64 (neg.f64 a) (/.f64 d c)) b) (hypot.f64 c d))
24.6%
(/.f64 (-.f64 (-.f64 (*.f64 (/.f64 b (/.f64 (pow.f64 d 2) (pow.f64 c 2))) 1/2) (/.f64 a (/.f64 d c))) b) (hypot.f64 c d))
56.5%
(/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) (+.f64 (*.f64 c c) (*.f64 d d)))
28.3%
(/.f64 (+.f64 (*.f64 -1 b) (*.f64 -1 (/.f64 (*.f64 a c) d))) (hypot.f64 c d))
33.8%
(/.f64 (+.f64 b (/.f64 (*.f64 a c) d)) (hypot.f64 c d))
34.6%
(/.f64 (+.f64 b (/.f64 a (/.f64 d c))) (hypot.f64 c d))
33.7%
(/.f64 (+.f64 a (/.f64 b (/.f64 c d))) (hypot.f64 c d))
38.0%
(/.f64 (*.f64 c a) (+.f64 (*.f64 c c) (*.f64 d d)))
37.6%
(/.f64 (*.f64 b d) (+.f64 (*.f64 c c) (*.f64 d d)))
16.8%
(/.f64 (*.f64 a c) (pow.f64 d 2))
33.0%
(/.f64 (*.f64 -1 (+.f64 a (/.f64 b (/.f64 c d)))) (hypot.f64 c d))
10.0%
(/.f64 (neg.f64 b) d)
9.0%
(/.f64 (neg.f64 b) c)
29.8%
(/.f64 (neg.f64 a) (hypot.f64 c d))
9.8%
(/.f64 (neg.f64 a) d)
46.1%
(/.f64 b d)
10.4%
(/.f64 b c)
31.8%
(/.f64 a (hypot.f64 c d))
8.7%
(/.f64 a d)
43.1%
(/.f64 a c)
61.6%
(+.f64 (/.f64 b (/.f64 (fma.f64 d d (pow.f64 c 2)) d)) (/.f64 a (/.f64 (fma.f64 d d (pow.f64 c 2)) c)))
53.5%
(+.f64 (/.f64 b d) (/.f64 a (*.f64 (/.f64 d 1) (/.f64 d c))))
46.9%
(+.f64 (/.f64 a c) (/.f64 b (/.f64 (pow.f64 c 2) d)))
73.1%
(*.f64 (pow.f64 (pow.f64 (hypot.f64 c d) -1/2) 2) (/.f64 (fma.f64 a c (*.f64 b d)) (hypot.f64 c d)))
33.0%
(*.f64 (/.f64 1 (hypot.f64 c d)) (*.f64 -1 (+.f64 a (/.f64 b (/.f64 c d)))))
31.7%
(*.f64 (/.f64 1 (hypot.f64 c d)) a)
54.5%
(*.f64 (/.f64 1 d) (+.f64 b (/.f64 a (/.f64 d c))))
10.4%
(*.f64 (/.f64 1 c) b)
40.2%
(*.f64 a (/.f64 c (pow.f64 (hypot.f64 c d) 2)))
43.0%
(*.f64 a (/.f64 1 c))
Compiler

Compiled 829 to 541 computations (34.7% saved)

localize151.0ms (1.4%)

Localize:

Found 9 expressions with local error:

NewAccuracyProgram
100.0%
(-.f64 (/.f64 (neg.f64 a) (/.f64 d c)) b)
93.2%
(/.f64 (-.f64 (/.f64 (neg.f64 a) (/.f64 d c)) b) (hypot.f64 c d))
90.9%
(/.f64 (neg.f64 a) (/.f64 d c))
100.0%
(/.f64 1 (hypot.f64 c d))
99.7%
(*.f64 (/.f64 1 (hypot.f64 c d)) a)
99.7%
(*.f64 (/.f64 1 c) b)
99.9%
(/.f64 (/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) (hypot.f64 c d)) (hypot.f64 c d))
99.2%
(+.f64 (*.f64 a c) (*.f64 b d))
74.2%
(/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) (hypot.f64 c d))
Compiler

Compiled 124 to 29 computations (76.6% saved)

series26.0ms (0.2%)

Counts
7 → 288
Calls

72 calls:

TimeVariablePointExpression
1.0ms
c
@0
(/.f64 (/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) (hypot.f64 c d)) (hypot.f64 c d))
1.0ms
b
@0
(/.f64 (-.f64 (/.f64 (neg.f64 a) (/.f64 d c)) b) (hypot.f64 c d))
1.0ms
c
@0
(*.f64 (/.f64 1 (hypot.f64 c d)) a)
1.0ms
d
@0
(*.f64 (/.f64 1 (hypot.f64 c d)) a)
1.0ms
d
@inf
(*.f64 (/.f64 1 (hypot.f64 c d)) a)

rewrite198.0ms (1.8%)

Algorithm
batch-egg-rewrite
Rules
764×expm1-udef
764×log1p-udef
380×associate-*r*
330×times-frac
242×associate-*l*
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
028257
1458233
27216233
Stop Event
node limit
Counts
7 → 252
Calls
Call 1
Inputs
(/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) (hypot.f64 c d))
(/.f64 (/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) (hypot.f64 c d)) (hypot.f64 c d))
(*.f64 (/.f64 1 c) b)
(*.f64 (/.f64 1 (hypot.f64 c d)) a)
(/.f64 (neg.f64 a) (/.f64 d c))
(/.f64 (-.f64 (/.f64 (neg.f64 a) (/.f64 d c)) b) (hypot.f64 c d))
(-.f64 (/.f64 (neg.f64 a) (/.f64 d c)) b)
Outputs
(-.f64 (exp.f64 (log1p.f64 (/.f64 (fma.f64 a c (*.f64 b d)) (hypot.f64 c d)))) 1)
(*.f64 (fma.f64 a c (*.f64 b d)) (/.f64 1 (hypot.f64 c d)))
(*.f64 (/.f64 (fma.f64 a c (*.f64 b d)) (hypot.f64 c d)) 1)
(*.f64 1 (/.f64 (fma.f64 a c (*.f64 b d)) (hypot.f64 c d)))
(*.f64 (/.f64 1 (hypot.f64 c d)) (fma.f64 a c (*.f64 b d)))
(*.f64 (cbrt.f64 (/.f64 (fma.f64 a c (*.f64 b d)) (hypot.f64 c d))) (pow.f64 (cbrt.f64 (/.f64 (fma.f64 a c (*.f64 b d)) (hypot.f64 c d))) 2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (fma.f64 a c (*.f64 b d)) (hypot.f64 c d))) 2) (cbrt.f64 (/.f64 (fma.f64 a c (*.f64 b d)) (hypot.f64 c d))))
(*.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 (hypot.f64 c d))))
(*.f64 (sqrt.f64 (/.f64 (fma.f64 a c (*.f64 b d)) (hypot.f64 c d))) (sqrt.f64 (/.f64 (fma.f64 a c (*.f64 b d)) (hypot.f64 c d))))
(*.f64 (pow.f64 (hypot.f64 c d) -1/2) (/.f64 (fma.f64 a c (*.f64 b d)) (sqrt.f64 (hypot.f64 c d))))
(*.f64 (sqrt.f64 (fma.f64 a c (*.f64 b d))) (*.f64 (sqrt.f64 (fma.f64 a c (*.f64 b d))) (/.f64 1 (hypot.f64 c d))))
(*.f64 (neg.f64 (fma.f64 a c (*.f64 b d))) (/.f64 1 (neg.f64 (hypot.f64 c d))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (hypot.f64 c d)) 2)) (/.f64 (fma.f64 a c (*.f64 b d)) (cbrt.f64 (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))) (hypot.f64 c d)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 a c (*.f64 b d))) 2) (pow.f64 (cbrt.f64 (hypot.f64 c d)) 2)) (cbrt.f64 (/.f64 (fma.f64 a c (*.f64 b d)) (hypot.f64 c d))))
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(*.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 a (/.f64 c d) (neg.f64 b))) 2) (pow.f64 (cbrt.f64 (hypot.f64 c d)) 2)) (cbrt.f64 (/.f64 (fma.f64 a (/.f64 c d) (neg.f64 b)) (hypot.f64 c d))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 a (/.f64 c d) (neg.f64 b))) 2) (sqrt.f64 (hypot.f64 c d))) (/.f64 (cbrt.f64 (fma.f64 a (/.f64 c d) (neg.f64 b))) (sqrt.f64 (hypot.f64 c d))))
(*.f64 (/.f64 (sqrt.f64 (fma.f64 a (/.f64 c d) (neg.f64 b))) 1) (/.f64 (sqrt.f64 (fma.f64 a (/.f64 c d) (neg.f64 b))) (hypot.f64 c d)))
(*.f64 (/.f64 (sqrt.f64 (fma.f64 a (/.f64 c d) (neg.f64 b))) (pow.f64 (cbrt.f64 (hypot.f64 c d)) 2)) (/.f64 (sqrt.f64 (fma.f64 a (/.f64 c d) (neg.f64 b))) (cbrt.f64 (hypot.f64 c d))))
(*.f64 (*.f64 (fma.f64 a (/.f64 c d) (neg.f64 b)) (cbrt.f64 (pow.f64 (hypot.f64 c d) -2))) (/.f64 1 (cbrt.f64 (hypot.f64 c d))))
(*.f64 (*.f64 (fma.f64 a (/.f64 c d) (neg.f64 b)) (pow.f64 (hypot.f64 c d) -1/2)) (pow.f64 (hypot.f64 c d) -1/2))
(pow.f64 (/.f64 (fma.f64 a (/.f64 c d) (neg.f64 b)) (hypot.f64 c d)) 1)
(pow.f64 (cbrt.f64 (/.f64 (fma.f64 a (/.f64 c d) (neg.f64 b)) (hypot.f64 c d))) 3)
(pow.f64 (pow.f64 (/.f64 (fma.f64 a (/.f64 c d) (neg.f64 b)) (hypot.f64 c d)) 3) 1/3)
(pow.f64 (sqrt.f64 (/.f64 (fma.f64 a (/.f64 c d) (neg.f64 b)) (hypot.f64 c d))) 2)
(pow.f64 (/.f64 (hypot.f64 c d) (fma.f64 a (/.f64 c d) (neg.f64 b))) -1)
(neg.f64 (/.f64 (fma.f64 a (/.f64 c d) (neg.f64 b)) (neg.f64 (hypot.f64 c d))))
(sqrt.f64 (pow.f64 (/.f64 (fma.f64 a (/.f64 c d) (neg.f64 b)) (hypot.f64 c d)) 2))
(log.f64 (exp.f64 (/.f64 (fma.f64 a (/.f64 c d) (neg.f64 b)) (hypot.f64 c d))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (fma.f64 a (/.f64 c d) (neg.f64 b)) (hypot.f64 c d)))))
(cbrt.f64 (pow.f64 (/.f64 (fma.f64 a (/.f64 c d) (neg.f64 b)) (hypot.f64 c d)) 3))
(cbrt.f64 (*.f64 (pow.f64 (fma.f64 a (/.f64 c d) (neg.f64 b)) 3) (pow.f64 (/.f64 1 (hypot.f64 c d)) 3)))
(cbrt.f64 (/.f64 (pow.f64 (fma.f64 a (/.f64 c d) (neg.f64 b)) 3) (pow.f64 (hypot.f64 c d) 3)))
(expm1.f64 (log1p.f64 (/.f64 (fma.f64 a (/.f64 c d) (neg.f64 b)) (hypot.f64 c d))))
(exp.f64 (log.f64 (/.f64 (fma.f64 a (/.f64 c d) (neg.f64 b)) (hypot.f64 c d))))
(exp.f64 (*.f64 (log.f64 (/.f64 (fma.f64 a (/.f64 c d) (neg.f64 b)) (hypot.f64 c d))) 1))
(log1p.f64 (expm1.f64 (/.f64 (fma.f64 a (/.f64 c d) (neg.f64 b)) (hypot.f64 c d))))
(+.f64 (*.f64 a (/.f64 c d)) (neg.f64 b))
(+.f64 (*.f64 a (/.f64 c d)) (*.f64 (neg.f64 b) 1))
(+.f64 (fma.f64 a (/.f64 c d) (neg.f64 b)) (fma.f64 (neg.f64 b) 1 b))
(+.f64 (fma.f64 a (/.f64 c d) (neg.f64 b)) (fma.f64 (neg.f64 (cbrt.f64 b)) (pow.f64 (cbrt.f64 b) 2) b))
(+.f64 (fma.f64 a (/.f64 c d) (neg.f64 b)) (fma.f64 (neg.f64 (sqrt.f64 b)) (sqrt.f64 b) b))
(+.f64 (neg.f64 b) (*.f64 a (/.f64 c d)))
(*.f64 1 (fma.f64 a (/.f64 c d) (neg.f64 b)))
(*.f64 (fma.f64 a (/.f64 c d) (neg.f64 b)) 1)
(*.f64 (cbrt.f64 (fma.f64 a (/.f64 c d) (neg.f64 b))) (pow.f64 (cbrt.f64 (fma.f64 a (/.f64 c d) (neg.f64 b))) 2))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 a (/.f64 c d) (neg.f64 b))) 2) (cbrt.f64 (fma.f64 a (/.f64 c d) (neg.f64 b))))
(*.f64 (sqrt.f64 (fma.f64 a (/.f64 c d) (neg.f64 b))) (sqrt.f64 (fma.f64 a (/.f64 c d) (neg.f64 b))))
(*.f64 (-.f64 (pow.f64 (*.f64 a (/.f64 c d)) 3) (pow.f64 b 3)) (/.f64 1 (+.f64 (pow.f64 (*.f64 a (/.f64 c d)) 2) (*.f64 b (fma.f64 a (/.f64 c d) b)))))
(*.f64 (-.f64 (pow.f64 (*.f64 a (/.f64 c d)) 2) (pow.f64 b 2)) (/.f64 1 (fma.f64 a (/.f64 c d) b)))
(*.f64 (+.f64 (sqrt.f64 (*.f64 a (/.f64 c d))) (sqrt.f64 b)) (-.f64 (sqrt.f64 (*.f64 a (/.f64 c d))) (sqrt.f64 b)))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (*.f64 a (/.f64 c d)) 2) (*.f64 b (fma.f64 a (/.f64 c d) b))) (-.f64 (pow.f64 (*.f64 a (/.f64 c d)) 3) (pow.f64 b 3))))
(/.f64 1 (/.f64 (fma.f64 a (/.f64 c d) b) (-.f64 (pow.f64 (*.f64 a (/.f64 c d)) 2) (pow.f64 b 2))))
(/.f64 (-.f64 (pow.f64 (*.f64 a (/.f64 c d)) 3) (pow.f64 b 3)) (+.f64 (pow.f64 (*.f64 a (/.f64 c d)) 2) (*.f64 b (fma.f64 a (/.f64 c d) b))))
(/.f64 (-.f64 (pow.f64 (*.f64 a (/.f64 c d)) 2) (pow.f64 b 2)) (fma.f64 a (/.f64 c d) b))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 a (/.f64 c d)) 3) (pow.f64 b 3))) (neg.f64 (+.f64 (pow.f64 (*.f64 a (/.f64 c d)) 2) (*.f64 b (fma.f64 a (/.f64 c d) b)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 a (/.f64 c d)) 2) (pow.f64 b 2))) (fma.f64 a (/.f64 c d) (neg.f64 b)))
(/.f64 (+.f64 (pow.f64 (*.f64 a (/.f64 c d)) 3) (pow.f64 (neg.f64 b) 3)) (+.f64 (pow.f64 (*.f64 a (/.f64 c d)) 2) (-.f64 (*.f64 (neg.f64 b) (neg.f64 b)) (*.f64 (*.f64 a (/.f64 c d)) (neg.f64 b)))))
(/.f64 (-.f64 (pow.f64 (*.f64 a (/.f64 c d)) 2) (*.f64 (neg.f64 b) (neg.f64 b))) (-.f64 (*.f64 a (/.f64 c d)) (neg.f64 b)))
(pow.f64 (fma.f64 a (/.f64 c d) (neg.f64 b)) 1)
(pow.f64 (cbrt.f64 (fma.f64 a (/.f64 c d) (neg.f64 b))) 3)
(pow.f64 (pow.f64 (fma.f64 a (/.f64 c d) (neg.f64 b)) 3) 1/3)
(pow.f64 (sqrt.f64 (fma.f64 a (/.f64 c d) (neg.f64 b))) 2)
(neg.f64 (fma.f64 a (/.f64 c d) b))
(sqrt.f64 (pow.f64 (fma.f64 a (/.f64 c d) (neg.f64 b)) 2))
(log.f64 (exp.f64 (fma.f64 a (/.f64 c d) (neg.f64 b))))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 a (/.f64 c d) (neg.f64 b)))))
(cbrt.f64 (pow.f64 (fma.f64 a (/.f64 c d) (neg.f64 b)) 3))
(expm1.f64 (log1p.f64 (fma.f64 a (/.f64 c d) (neg.f64 b))))
(exp.f64 (log.f64 (fma.f64 a (/.f64 c d) (neg.f64 b))))
(exp.f64 (*.f64 (log.f64 (fma.f64 a (/.f64 c d) (neg.f64 b))) 1))
(log1p.f64 (expm1.f64 (fma.f64 a (/.f64 c d) (neg.f64 b))))
(fma.f64 a (/.f64 c d) (neg.f64 b))
(fma.f64 1 (*.f64 a (/.f64 c d)) (neg.f64 b))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 a (/.f64 c d))) 2) (cbrt.f64 (*.f64 a (/.f64 c d))) (neg.f64 b))
(fma.f64 (sqrt.f64 (*.f64 a (/.f64 c d))) (sqrt.f64 (*.f64 a (/.f64 c d))) (neg.f64 b))
(fma.f64 (/.f64 a d) c (neg.f64 b))

simplify199.0ms (1.8%)

Algorithm
egg-herbie
Rules
1024×associate-*r*
984×fma-def
984×associate-*l*
582×times-frac
574×associate-*r/
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
078227632
1211325529
Stop Event
node limit
Counts
540 → 498
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 (*.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))))
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(*.f64 -1 (*.f64 a (/.f64 c d)))
(*.f64 (cbrt.f64 (*.f64 a (/.f64 c d))) (pow.f64 (cbrt.f64 (*.f64 a (/.f64 c d))) 2))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 a (/.f64 c d))) 2) (cbrt.f64 (*.f64 a (/.f64 c d))))
(*.f64 (pow.f64 (cbrt.f64 a) 2) (*.f64 (cbrt.f64 a) (/.f64 c d)))
(*.f64 (sqrt.f64 (*.f64 a (/.f64 c d))) (sqrt.f64 (*.f64 a (/.f64 c d))))
(*.f64 (sqrt.f64 a) (*.f64 (sqrt.f64 a) (/.f64 c d)))
(*.f64 (/.f64 c d) a)
(*.f64 (/.f64 a d) c)
(*.f64 (/.f64 a d) (neg.f64 c))
(*.f64 (/.f64 (sqrt.f64 a) d) (/.f64 (sqrt.f64 a) (/.f64 1 c)))
(*.f64 (/.f64 1 d) (/.f64 a (/.f64 1 c)))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (/.f64 d c)) 2)) (/.f64 a (cbrt.f64 (/.f64 d c))))
(*.f64 (/.f64 1 (sqrt.f64 (/.f64 d c))) (/.f64 a (sqrt.f64 (/.f64 d c))))
(*.f64 (/.f64 -1 d) (/.f64 a (/.f64 1 c)))
(*.f64 (/.f64 -1 (pow.f64 (cbrt.f64 (/.f64 d c)) 2)) (/.f64 a (cbrt.f64 (/.f64 d c))))
(*.f64 (/.f64 -1 (sqrt.f64 (/.f64 d c))) (/.f64 a (sqrt.f64 (/.f64 d c))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 a) 2) d) (/.f64 (cbrt.f64 a) (/.f64 1 c)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 a) 2) 1) (/.f64 (cbrt.f64 a) (/.f64 d c)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 a) 2) (pow.f64 (cbrt.f64 (/.f64 d c)) 2)) (cbrt.f64 (*.f64 a (/.f64 c d))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 a) 2) (sqrt.f64 (/.f64 d c))) (/.f64 (cbrt.f64 a) (sqrt.f64 (/.f64 d c))))
(*.f64 (/.f64 (sqrt.f64 a) 1) (/.f64 (sqrt.f64 a) (/.f64 d c)))
(*.f64 (/.f64 (sqrt.f64 a) (pow.f64 (cbrt.f64 (/.f64 d c)) 2)) (/.f64 (sqrt.f64 a) (cbrt.f64 (/.f64 d c))))
(*.f64 (/.f64 a 1) (/.f64 c d))
(*.f64 (*.f64 (/.f64 a d) 1) c)
(*.f64 (*.f64 (/.f64 a d) (pow.f64 (cbrt.f64 c) 2)) (cbrt.f64 c))
(*.f64 (*.f64 (/.f64 a d) (sqrt.f64 c)) (sqrt.f64 c))
(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)
(pow.f64 (/.f64 d (*.f64 a c)) -1)
(neg.f64 (*.f64 a (/.f64 c d)))
(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))))
(exp.f64 (log.f64 (*.f64 a (/.f64 c d))))
(exp.f64 (*.f64 (log.f64 (*.f64 a (/.f64 c d))) 1))
(log1p.f64 (expm1.f64 (*.f64 a (/.f64 c d))))
(+.f64 (/.f64 a (/.f64 (hypot.f64 c d) (/.f64 c d))) (neg.f64 (/.f64 b (hypot.f64 c d))))
(-.f64 (/.f64 a (/.f64 (hypot.f64 c d) (/.f64 c d))) (/.f64 b (hypot.f64 c d)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (fma.f64 a (/.f64 c d) (neg.f64 b)) (hypot.f64 c d)))) 1)
(*.f64 1 (/.f64 (fma.f64 a (/.f64 c d) (neg.f64 b)) (hypot.f64 c d)))
(*.f64 (/.f64 1 (hypot.f64 c d)) (fma.f64 a (/.f64 c d) (neg.f64 b)))
(*.f64 (fma.f64 a (/.f64 c d) (neg.f64 b)) (/.f64 1 (hypot.f64 c d)))
(*.f64 (/.f64 (fma.f64 a (/.f64 c d) (neg.f64 b)) (hypot.f64 c d)) 1)
(*.f64 (cbrt.f64 (/.f64 (fma.f64 a (/.f64 c d) (neg.f64 b)) (hypot.f64 c d))) (pow.f64 (cbrt.f64 (/.f64 (fma.f64 a (/.f64 c d) (neg.f64 b)) (hypot.f64 c d))) 2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (fma.f64 a (/.f64 c d) (neg.f64 b)) (hypot.f64 c d))) 2) (cbrt.f64 (/.f64 (fma.f64 a (/.f64 c d) (neg.f64 b)) (hypot.f64 c d))))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 a (/.f64 c d) (neg.f64 b))) 2) (*.f64 (cbrt.f64 (fma.f64 a (/.f64 c d) (neg.f64 b))) (/.f64 1 (hypot.f64 c d))))
(*.f64 (pow.f64 (hypot.f64 c d) -1/2) (/.f64 (fma.f64 a (/.f64 c d) (neg.f64 b)) (sqrt.f64 (hypot.f64 c d))))
(*.f64 (sqrt.f64 (/.f64 (fma.f64 a (/.f64 c d) (neg.f64 b)) (hypot.f64 c d))) (sqrt.f64 (/.f64 (fma.f64 a (/.f64 c d) (neg.f64 b)) (hypot.f64 c d))))
(*.f64 (sqrt.f64 (fma.f64 a (/.f64 c d) (neg.f64 b))) (*.f64 (sqrt.f64 (fma.f64 a (/.f64 c d) (neg.f64 b))) (/.f64 1 (hypot.f64 c d))))
(*.f64 (neg.f64 (fma.f64 a (/.f64 c d) (neg.f64 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) (neg.f64 b)) (cbrt.f64 (hypot.f64 c d))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 a (/.f64 c d) (neg.f64 b))) 2) 1) (/.f64 (cbrt.f64 (fma.f64 a (/.f64 c d) (neg.f64 b))) (hypot.f64 c d)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 a (/.f64 c d) (neg.f64 b))) 2) (pow.f64 (cbrt.f64 (hypot.f64 c d)) 2)) (cbrt.f64 (/.f64 (fma.f64 a (/.f64 c d) (neg.f64 b)) (hypot.f64 c d))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 a (/.f64 c d) (neg.f64 b))) 2) (sqrt.f64 (hypot.f64 c d))) (/.f64 (cbrt.f64 (fma.f64 a (/.f64 c d) (neg.f64 b))) (sqrt.f64 (hypot.f64 c d))))
(*.f64 (/.f64 (sqrt.f64 (fma.f64 a (/.f64 c d) (neg.f64 b))) 1) (/.f64 (sqrt.f64 (fma.f64 a (/.f64 c d) (neg.f64 b))) (hypot.f64 c d)))
(*.f64 (/.f64 (sqrt.f64 (fma.f64 a (/.f64 c d) (neg.f64 b))) (pow.f64 (cbrt.f64 (hypot.f64 c d)) 2)) (/.f64 (sqrt.f64 (fma.f64 a (/.f64 c d) (neg.f64 b))) (cbrt.f64 (hypot.f64 c d))))
(*.f64 (*.f64 (fma.f64 a (/.f64 c d) (neg.f64 b)) (cbrt.f64 (pow.f64 (hypot.f64 c d) -2))) (/.f64 1 (cbrt.f64 (hypot.f64 c d))))
(*.f64 (*.f64 (fma.f64 a (/.f64 c d) (neg.f64 b)) (pow.f64 (hypot.f64 c d) -1/2)) (pow.f64 (hypot.f64 c d) -1/2))
(pow.f64 (/.f64 (fma.f64 a (/.f64 c d) (neg.f64 b)) (hypot.f64 c d)) 1)
(pow.f64 (cbrt.f64 (/.f64 (fma.f64 a (/.f64 c d) (neg.f64 b)) (hypot.f64 c d))) 3)
(pow.f64 (pow.f64 (/.f64 (fma.f64 a (/.f64 c d) (neg.f64 b)) (hypot.f64 c d)) 3) 1/3)
(pow.f64 (sqrt.f64 (/.f64 (fma.f64 a (/.f64 c d) (neg.f64 b)) (hypot.f64 c d))) 2)
(pow.f64 (/.f64 (hypot.f64 c d) (fma.f64 a (/.f64 c d) (neg.f64 b))) -1)
(neg.f64 (/.f64 (fma.f64 a (/.f64 c d) (neg.f64 b)) (neg.f64 (hypot.f64 c d))))
(sqrt.f64 (pow.f64 (/.f64 (fma.f64 a (/.f64 c d) (neg.f64 b)) (hypot.f64 c d)) 2))
(log.f64 (exp.f64 (/.f64 (fma.f64 a (/.f64 c d) (neg.f64 b)) (hypot.f64 c d))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (fma.f64 a (/.f64 c d) (neg.f64 b)) (hypot.f64 c d)))))
(cbrt.f64 (pow.f64 (/.f64 (fma.f64 a (/.f64 c d) (neg.f64 b)) (hypot.f64 c d)) 3))
(cbrt.f64 (*.f64 (pow.f64 (fma.f64 a (/.f64 c d) (neg.f64 b)) 3) (pow.f64 (/.f64 1 (hypot.f64 c d)) 3)))
(cbrt.f64 (/.f64 (pow.f64 (fma.f64 a (/.f64 c d) (neg.f64 b)) 3) (pow.f64 (hypot.f64 c d) 3)))
(expm1.f64 (log1p.f64 (/.f64 (fma.f64 a (/.f64 c d) (neg.f64 b)) (hypot.f64 c d))))
(exp.f64 (log.f64 (/.f64 (fma.f64 a (/.f64 c d) (neg.f64 b)) (hypot.f64 c d))))
(exp.f64 (*.f64 (log.f64 (/.f64 (fma.f64 a (/.f64 c d) (neg.f64 b)) (hypot.f64 c d))) 1))
(log1p.f64 (expm1.f64 (/.f64 (fma.f64 a (/.f64 c d) (neg.f64 b)) (hypot.f64 c d))))
(+.f64 (*.f64 a (/.f64 c d)) (neg.f64 b))
(+.f64 (*.f64 a (/.f64 c d)) (*.f64 (neg.f64 b) 1))
(+.f64 (fma.f64 a (/.f64 c d) (neg.f64 b)) (fma.f64 (neg.f64 b) 1 b))
(+.f64 (fma.f64 a (/.f64 c d) (neg.f64 b)) (fma.f64 (neg.f64 (cbrt.f64 b)) (pow.f64 (cbrt.f64 b) 2) b))
(+.f64 (fma.f64 a (/.f64 c d) (neg.f64 b)) (fma.f64 (neg.f64 (sqrt.f64 b)) (sqrt.f64 b) b))
(+.f64 (neg.f64 b) (*.f64 a (/.f64 c d)))
(*.f64 1 (fma.f64 a (/.f64 c d) (neg.f64 b)))
(*.f64 (fma.f64 a (/.f64 c d) (neg.f64 b)) 1)
(*.f64 (cbrt.f64 (fma.f64 a (/.f64 c d) (neg.f64 b))) (pow.f64 (cbrt.f64 (fma.f64 a (/.f64 c d) (neg.f64 b))) 2))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 a (/.f64 c d) (neg.f64 b))) 2) (cbrt.f64 (fma.f64 a (/.f64 c d) (neg.f64 b))))
(*.f64 (sqrt.f64 (fma.f64 a (/.f64 c d) (neg.f64 b))) (sqrt.f64 (fma.f64 a (/.f64 c d) (neg.f64 b))))
(*.f64 (-.f64 (pow.f64 (*.f64 a (/.f64 c d)) 3) (pow.f64 b 3)) (/.f64 1 (+.f64 (pow.f64 (*.f64 a (/.f64 c d)) 2) (*.f64 b (fma.f64 a (/.f64 c d) b)))))
(*.f64 (-.f64 (pow.f64 (*.f64 a (/.f64 c d)) 2) (pow.f64 b 2)) (/.f64 1 (fma.f64 a (/.f64 c d) b)))
(*.f64 (+.f64 (sqrt.f64 (*.f64 a (/.f64 c d))) (sqrt.f64 b)) (-.f64 (sqrt.f64 (*.f64 a (/.f64 c d))) (sqrt.f64 b)))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (*.f64 a (/.f64 c d)) 2) (*.f64 b (fma.f64 a (/.f64 c d) b))) (-.f64 (pow.f64 (*.f64 a (/.f64 c d)) 3) (pow.f64 b 3))))
(/.f64 1 (/.f64 (fma.f64 a (/.f64 c d) b) (-.f64 (pow.f64 (*.f64 a (/.f64 c d)) 2) (pow.f64 b 2))))
(/.f64 (-.f64 (pow.f64 (*.f64 a (/.f64 c d)) 3) (pow.f64 b 3)) (+.f64 (pow.f64 (*.f64 a (/.f64 c d)) 2) (*.f64 b (fma.f64 a (/.f64 c d) b))))
(/.f64 (-.f64 (pow.f64 (*.f64 a (/.f64 c d)) 2) (pow.f64 b 2)) (fma.f64 a (/.f64 c d) b))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 a (/.f64 c d)) 3) (pow.f64 b 3))) (neg.f64 (+.f64 (pow.f64 (*.f64 a (/.f64 c d)) 2) (*.f64 b (fma.f64 a (/.f64 c d) b)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 a (/.f64 c d)) 2) (pow.f64 b 2))) (fma.f64 a (/.f64 c d) (neg.f64 b)))
(/.f64 (+.f64 (pow.f64 (*.f64 a (/.f64 c d)) 3) (pow.f64 (neg.f64 b) 3)) (+.f64 (pow.f64 (*.f64 a (/.f64 c d)) 2) (-.f64 (*.f64 (neg.f64 b) (neg.f64 b)) (*.f64 (*.f64 a (/.f64 c d)) (neg.f64 b)))))
(/.f64 (-.f64 (pow.f64 (*.f64 a (/.f64 c d)) 2) (*.f64 (neg.f64 b) (neg.f64 b))) (-.f64 (*.f64 a (/.f64 c d)) (neg.f64 b)))
(pow.f64 (fma.f64 a (/.f64 c d) (neg.f64 b)) 1)
(pow.f64 (cbrt.f64 (fma.f64 a (/.f64 c d) (neg.f64 b))) 3)
(pow.f64 (pow.f64 (fma.f64 a (/.f64 c d) (neg.f64 b)) 3) 1/3)
(pow.f64 (sqrt.f64 (fma.f64 a (/.f64 c d) (neg.f64 b))) 2)
(neg.f64 (fma.f64 a (/.f64 c d) b))
(sqrt.f64 (pow.f64 (fma.f64 a (/.f64 c d) (neg.f64 b)) 2))
(log.f64 (exp.f64 (fma.f64 a (/.f64 c d) (neg.f64 b))))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 a (/.f64 c d) (neg.f64 b)))))
(cbrt.f64 (pow.f64 (fma.f64 a (/.f64 c d) (neg.f64 b)) 3))
(expm1.f64 (log1p.f64 (fma.f64 a (/.f64 c d) (neg.f64 b))))
(exp.f64 (log.f64 (fma.f64 a (/.f64 c d) (neg.f64 b))))
(exp.f64 (*.f64 (log.f64 (fma.f64 a (/.f64 c d) (neg.f64 b))) 1))
(log1p.f64 (expm1.f64 (fma.f64 a (/.f64 c d) (neg.f64 b))))
(fma.f64 a (/.f64 c d) (neg.f64 b))
(fma.f64 1 (*.f64 a (/.f64 c d)) (neg.f64 b))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 a (/.f64 c d))) 2) (cbrt.f64 (*.f64 a (/.f64 c d))) (neg.f64 b))
(fma.f64 (sqrt.f64 (*.f64 a (/.f64 c d))) (sqrt.f64 (*.f64 a (/.f64 c d))) (neg.f64 b))
(fma.f64 (/.f64 a d) c (neg.f64 b))
Outputs
(*.f64 (*.f64 b d) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 c 2) (pow.f64 d 2)))))
(*.f64 d (*.f64 b (sqrt.f64 (/.f64 1 (fma.f64 d d (pow.f64 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 a c (*.f64 b d)))
(*.f64 (sqrt.f64 (/.f64 1 (fma.f64 d d (pow.f64 c 2)))) (fma.f64 c a (*.f64 b d)))
(+.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 a c (*.f64 b d)))
(*.f64 (sqrt.f64 (/.f64 1 (fma.f64 d d (pow.f64 c 2)))) (fma.f64 c a (*.f64 b d)))
(+.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 a c (*.f64 b d)))
(*.f64 (sqrt.f64 (/.f64 1 (fma.f64 d d (pow.f64 c 2)))) (fma.f64 c a (*.f64 b d)))
(*.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 (fma.f64 d d (pow.f64 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 a c (*.f64 b d)))
(*.f64 (sqrt.f64 (/.f64 1 (fma.f64 d d (pow.f64 c 2)))) (fma.f64 c a (*.f64 b d)))
(+.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 a c (*.f64 b d)))
(*.f64 (sqrt.f64 (/.f64 1 (fma.f64 d d (pow.f64 c 2)))) (fma.f64 c a (*.f64 b d)))
(+.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 a c (*.f64 b d)))
(*.f64 (sqrt.f64 (/.f64 1 (fma.f64 d d (pow.f64 c 2)))) (fma.f64 c a (*.f64 b d)))
(*.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 (fma.f64 d d (pow.f64 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 a c (*.f64 b d)))
(*.f64 (sqrt.f64 (/.f64 1 (fma.f64 d d (pow.f64 c 2)))) (fma.f64 c a (*.f64 b d)))
(+.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 a c (*.f64 b d)))
(*.f64 (sqrt.f64 (/.f64 1 (fma.f64 d d (pow.f64 c 2)))) (fma.f64 c a (*.f64 b d)))
(+.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 a c (*.f64 b d)))
(*.f64 (sqrt.f64 (/.f64 1 (fma.f64 d d (pow.f64 c 2)))) (fma.f64 c a (*.f64 b d)))
b
(+.f64 b (/.f64 (*.f64 a c) d))
(fma.f64 a (/.f64 c d) b)
(fma.f64 c (/.f64 a 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 d 2) (pow.f64 c 2))) (*.f64 c (/.f64 a d))))
(+.f64 (/.f64 (*.f64 (*.f64 b (pow.f64 c 2)) -1/2) (pow.f64 d 2)) (fma.f64 c (/.f64 a d) b))
(+.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 d 3) (pow.f64 c 3))) (fma.f64 -1/2 (/.f64 b (/.f64 (pow.f64 d 2) (pow.f64 c 2))) (*.f64 c (/.f64 a d)))))
(+.f64 (*.f64 -1/2 (+.f64 (/.f64 a (/.f64 (pow.f64 d 3) (pow.f64 c 3))) (/.f64 b (/.f64 (pow.f64 d 2) (pow.f64 c 2))))) (fma.f64 c (/.f64 a d) b))
a
(+.f64 a (/.f64 (*.f64 b d) c))
(+.f64 a (/.f64 b (/.f64 c d)))
(+.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 (*.f64 (pow.f64 d 2) a) (pow.f64 c 2)) (/.f64 b (/.f64 c d))))
(+.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 (*.f64 (pow.f64 d 2) a) (pow.f64 c 2)) (fma.f64 -1/2 (/.f64 b (/.f64 (pow.f64 c 3) (pow.f64 d 3))) (/.f64 b (/.f64 c d)))))
(+.f64 a (fma.f64 -1/2 (/.f64 (*.f64 (pow.f64 d 2) a) (pow.f64 c 2)) (fma.f64 -1/2 (/.f64 b (pow.f64 (/.f64 c d) 3)) (/.f64 b (/.f64 c d)))))
(*.f64 -1 a)
(neg.f64 a)
(+.f64 (*.f64 -1 a) (*.f64 -1 (/.f64 (*.f64 b d) c)))
(*.f64 -1 (+.f64 a (/.f64 b (/.f64 c d))))
(-.f64 (neg.f64 a) (/.f64 b (/.f64 c d)))
(+.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 c d)) (/.f64 (*.f64 1/2 (*.f64 (pow.f64 d 2) a)) (pow.f64 c 2))))
(-.f64 (-.f64 (/.f64 (*.f64 (*.f64 (pow.f64 d 2) a) 1/2) (pow.f64 c 2)) (/.f64 b (/.f64 c d))) a)
(+.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 c d)) (*.f64 1/2 (+.f64 (/.f64 (*.f64 (pow.f64 d 2) a) (pow.f64 c 2)) (/.f64 b (/.f64 (pow.f64 c 3) (pow.f64 d 3)))))))
(-.f64 (fma.f64 1/2 (+.f64 (/.f64 (*.f64 (pow.f64 d 2) a) (pow.f64 c 2)) (/.f64 b (pow.f64 (/.f64 c d) 3))) (/.f64 (neg.f64 b) (/.f64 c d))) 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 (fma.f64 d d (pow.f64 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 a c (*.f64 b d)))
(*.f64 (sqrt.f64 (/.f64 1 (fma.f64 d d (pow.f64 c 2)))) (fma.f64 c a (*.f64 b d)))
(+.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 a c (*.f64 b d)))
(*.f64 (sqrt.f64 (/.f64 1 (fma.f64 d d (pow.f64 c 2)))) (fma.f64 c a (*.f64 b d)))
(+.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 a c (*.f64 b d)))
(*.f64 (sqrt.f64 (/.f64 1 (fma.f64 d d (pow.f64 c 2)))) (fma.f64 c a (*.f64 b d)))
(*.f64 (*.f64 b d) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 c 2) (pow.f64 d 2)))))
(*.f64 d (*.f64 b (sqrt.f64 (/.f64 1 (fma.f64 d d (pow.f64 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 a c (*.f64 b d)))
(*.f64 (sqrt.f64 (/.f64 1 (fma.f64 d d (pow.f64 c 2)))) (fma.f64 c a (*.f64 b d)))
(+.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 a c (*.f64 b d)))
(*.f64 (sqrt.f64 (/.f64 1 (fma.f64 d d (pow.f64 c 2)))) (fma.f64 c a (*.f64 b d)))
(+.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 a c (*.f64 b d)))
(*.f64 (sqrt.f64 (/.f64 1 (fma.f64 d d (pow.f64 c 2)))) (fma.f64 c a (*.f64 b d)))
(*.f64 (*.f64 b d) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 c 2) (pow.f64 d 2)))))
(*.f64 d (*.f64 b (sqrt.f64 (/.f64 1 (fma.f64 d d (pow.f64 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 a c (*.f64 b d)))
(*.f64 (sqrt.f64 (/.f64 1 (fma.f64 d d (pow.f64 c 2)))) (fma.f64 c a (*.f64 b d)))
(+.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 a c (*.f64 b d)))
(*.f64 (sqrt.f64 (/.f64 1 (fma.f64 d d (pow.f64 c 2)))) (fma.f64 c a (*.f64 b d)))
(+.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 a c (*.f64 b d)))
(*.f64 (sqrt.f64 (/.f64 1 (fma.f64 d d (pow.f64 c 2)))) (fma.f64 c a (*.f64 b d)))
a
(+.f64 a (/.f64 (*.f64 b d) c))
(+.f64 a (/.f64 b (/.f64 c d)))
(+.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 (*.f64 (pow.f64 d 2) a) (pow.f64 c 2)) (/.f64 b (/.f64 c d))))
(+.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 (*.f64 (pow.f64 d 2) a) (pow.f64 c 2)) (fma.f64 -1/2 (/.f64 b (/.f64 (pow.f64 c 3) (pow.f64 d 3))) (/.f64 b (/.f64 c d)))))
(+.f64 a (fma.f64 -1/2 (/.f64 (*.f64 (pow.f64 d 2) a) (pow.f64 c 2)) (fma.f64 -1/2 (/.f64 b (pow.f64 (/.f64 c d) 3)) (/.f64 b (/.f64 c d)))))
b
(+.f64 b (/.f64 (*.f64 a c) d))
(fma.f64 a (/.f64 c d) b)
(fma.f64 c (/.f64 a 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 d 2) (pow.f64 c 2))) (*.f64 c (/.f64 a d))))
(+.f64 (/.f64 (*.f64 (*.f64 b (pow.f64 c 2)) -1/2) (pow.f64 d 2)) (fma.f64 c (/.f64 a d) b))
(+.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 d 3) (pow.f64 c 3))) (fma.f64 -1/2 (/.f64 b (/.f64 (pow.f64 d 2) (pow.f64 c 2))) (*.f64 c (/.f64 a d)))))
(+.f64 (*.f64 -1/2 (+.f64 (/.f64 a (/.f64 (pow.f64 d 3) (pow.f64 c 3))) (/.f64 b (/.f64 (pow.f64 d 2) (pow.f64 c 2))))) (fma.f64 c (/.f64 a d) b))
(*.f64 -1 b)
(neg.f64 b)
(+.f64 (*.f64 -1 b) (*.f64 -1 (/.f64 (*.f64 a c) d)))
(neg.f64 (fma.f64 a (/.f64 c d) b))
(neg.f64 (fma.f64 c (/.f64 a 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)))))
(+.f64 (neg.f64 (fma.f64 a (/.f64 c d) b)) (*.f64 (/.f64 b (/.f64 (pow.f64 d 2) (pow.f64 c 2))) 1/2))
(fma.f64 -1 (fma.f64 c (/.f64 a d) b) (*.f64 (/.f64 b (/.f64 (pow.f64 d 2) (pow.f64 c 2))) 1/2))
(+.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 (neg.f64 (fma.f64 a (/.f64 c d) b)) (*.f64 1/2 (+.f64 (/.f64 a (/.f64 (pow.f64 d 3) (pow.f64 c 3))) (/.f64 b (/.f64 (pow.f64 d 2) (pow.f64 c 2))))))
(fma.f64 -1 (fma.f64 c (/.f64 a d) b) (*.f64 1/2 (+.f64 (/.f64 a (/.f64 (pow.f64 d 3) (pow.f64 c 3))) (/.f64 b (/.f64 (pow.f64 d 2) (pow.f64 c 2))))))
(/.f64 (*.f64 b d) (+.f64 (pow.f64 c 2) (pow.f64 d 2)))
(/.f64 b (/.f64 (fma.f64 d d (pow.f64 c 2)) d))
(+.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))))
(+.f64 (/.f64 b (/.f64 (fma.f64 d d (pow.f64 c 2)) d)) (/.f64 (*.f64 c a) (fma.f64 d d (pow.f64 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))))
(+.f64 (/.f64 b (/.f64 (fma.f64 d d (pow.f64 c 2)) d)) (/.f64 (*.f64 c a) (fma.f64 d d (pow.f64 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))))
(+.f64 (/.f64 b (/.f64 (fma.f64 d d (pow.f64 c 2)) d)) (/.f64 (*.f64 c a) (fma.f64 d d (pow.f64 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) (fma.f64 d d (pow.f64 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))))
(+.f64 (/.f64 b (/.f64 (fma.f64 d d (pow.f64 c 2)) d)) (/.f64 (*.f64 c a) (fma.f64 d d (pow.f64 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))))
(+.f64 (/.f64 b (/.f64 (fma.f64 d d (pow.f64 c 2)) d)) (/.f64 (*.f64 c a) (fma.f64 d d (pow.f64 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))))
(+.f64 (/.f64 b (/.f64 (fma.f64 d d (pow.f64 c 2)) d)) (/.f64 (*.f64 c a) (fma.f64 d d (pow.f64 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) (fma.f64 d d (pow.f64 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))))
(+.f64 (/.f64 b (/.f64 (fma.f64 d d (pow.f64 c 2)) d)) (/.f64 (*.f64 c a) (fma.f64 d d (pow.f64 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))))
(+.f64 (/.f64 b (/.f64 (fma.f64 d d (pow.f64 c 2)) d)) (/.f64 (*.f64 c a) (fma.f64 d d (pow.f64 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))))
(+.f64 (/.f64 b (/.f64 (fma.f64 d d (pow.f64 c 2)) d)) (/.f64 (*.f64 c a) (fma.f64 d d (pow.f64 c 2))))
(/.f64 b d)
(+.f64 (/.f64 b d) (/.f64 (*.f64 a c) (pow.f64 d 2)))
(+.f64 (/.f64 b d) (/.f64 a (/.f64 (pow.f64 d 2) c)))
(+.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 d 3) (pow.f64 c 2))) (+.f64 (/.f64 b d) (/.f64 a (/.f64 (pow.f64 d 2) c))))
(-.f64 (+.f64 (/.f64 b d) (/.f64 a (/.f64 (pow.f64 d 2) c))) (/.f64 b (/.f64 (pow.f64 d 3) (pow.f64 c 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)))))
(fma.f64 -1 (/.f64 a (/.f64 (pow.f64 d 4) (pow.f64 c 3))) (fma.f64 -1 (/.f64 b (/.f64 (pow.f64 d 3) (pow.f64 c 2))) (+.f64 (/.f64 b d) (/.f64 a (/.f64 (pow.f64 d 2) c)))))
(-.f64 (-.f64 (+.f64 (/.f64 b d) (/.f64 a (/.f64 (pow.f64 d 2) c))) (/.f64 b (/.f64 (pow.f64 d 3) (pow.f64 c 2)))) (/.f64 a (/.f64 (pow.f64 d 4) (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 (pow.f64 c 2) d)))
(+.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 (pow.f64 c 2) d))))
(-.f64 (+.f64 (/.f64 a c) (/.f64 b (/.f64 (pow.f64 c 2) d))) (/.f64 (*.f64 (pow.f64 d 2) 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 c 4) (pow.f64 d 3))) (+.f64 (/.f64 a c) (/.f64 b (/.f64 (pow.f64 c 2) d)))))
(-.f64 (-.f64 (+.f64 (/.f64 a c) (/.f64 b (/.f64 (pow.f64 c 2) d))) (/.f64 b (/.f64 (pow.f64 c 4) (pow.f64 d 3)))) (/.f64 (*.f64 (pow.f64 d 2) 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 (pow.f64 c 2) d)))
(+.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))))
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(*.f64 1 (fma.f64 a (/.f64 c d) (neg.f64 b)))
(fma.f64 a (/.f64 c d) (neg.f64 b))
(-.f64 (*.f64 c (/.f64 a d)) b)
(*.f64 (fma.f64 a (/.f64 c d) (neg.f64 b)) 1)
(fma.f64 a (/.f64 c d) (neg.f64 b))
(-.f64 (*.f64 c (/.f64 a d)) b)
(*.f64 (cbrt.f64 (fma.f64 a (/.f64 c d) (neg.f64 b))) (pow.f64 (cbrt.f64 (fma.f64 a (/.f64 c d) (neg.f64 b))) 2))
(fma.f64 a (/.f64 c d) (neg.f64 b))
(-.f64 (*.f64 c (/.f64 a d)) b)
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 a (/.f64 c d) (neg.f64 b))) 2) (cbrt.f64 (fma.f64 a (/.f64 c d) (neg.f64 b))))
(fma.f64 a (/.f64 c d) (neg.f64 b))
(-.f64 (*.f64 c (/.f64 a d)) b)
(*.f64 (sqrt.f64 (fma.f64 a (/.f64 c d) (neg.f64 b))) (sqrt.f64 (fma.f64 a (/.f64 c d) (neg.f64 b))))
(fma.f64 a (/.f64 c d) (neg.f64 b))
(-.f64 (*.f64 c (/.f64 a d)) b)
(*.f64 (-.f64 (pow.f64 (*.f64 a (/.f64 c d)) 3) (pow.f64 b 3)) (/.f64 1 (+.f64 (pow.f64 (*.f64 a (/.f64 c d)) 2) (*.f64 b (fma.f64 a (/.f64 c d) b)))))
(*.f64 (-.f64 (pow.f64 (*.f64 c (/.f64 a d)) 3) (pow.f64 b 3)) (/.f64 1 (+.f64 (pow.f64 (*.f64 c (/.f64 a d)) 2) (*.f64 b (fma.f64 a (/.f64 c d) b)))))
(/.f64 (-.f64 (pow.f64 (*.f64 c (/.f64 a d)) 3) (pow.f64 b 3)) (fma.f64 b (fma.f64 c (/.f64 a d) b) (pow.f64 (*.f64 c (/.f64 a d)) 2)))
(*.f64 (-.f64 (pow.f64 (*.f64 a (/.f64 c d)) 2) (pow.f64 b 2)) (/.f64 1 (fma.f64 a (/.f64 c d) b)))
(*.f64 (-.f64 (pow.f64 (*.f64 c (/.f64 a d)) 2) (pow.f64 b 2)) (/.f64 1 (fma.f64 a (/.f64 c d) b)))
(/.f64 (-.f64 (pow.f64 (*.f64 c (/.f64 a d)) 2) (pow.f64 b 2)) (fma.f64 c (/.f64 a d) b))
(*.f64 (+.f64 (sqrt.f64 (*.f64 a (/.f64 c d))) (sqrt.f64 b)) (-.f64 (sqrt.f64 (*.f64 a (/.f64 c d))) (sqrt.f64 b)))
(*.f64 (+.f64 (sqrt.f64 b) (sqrt.f64 (*.f64 c (/.f64 a d)))) (-.f64 (sqrt.f64 (*.f64 c (/.f64 a d))) (sqrt.f64 b)))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (*.f64 a (/.f64 c d)) 2) (*.f64 b (fma.f64 a (/.f64 c d) b))) (-.f64 (pow.f64 (*.f64 a (/.f64 c d)) 3) (pow.f64 b 3))))
(*.f64 (-.f64 (pow.f64 (*.f64 c (/.f64 a d)) 3) (pow.f64 b 3)) (/.f64 1 (+.f64 (pow.f64 (*.f64 c (/.f64 a d)) 2) (*.f64 b (fma.f64 a (/.f64 c d) b)))))
(/.f64 (-.f64 (pow.f64 (*.f64 c (/.f64 a d)) 3) (pow.f64 b 3)) (fma.f64 b (fma.f64 c (/.f64 a d) b) (pow.f64 (*.f64 c (/.f64 a d)) 2)))
(/.f64 1 (/.f64 (fma.f64 a (/.f64 c d) b) (-.f64 (pow.f64 (*.f64 a (/.f64 c d)) 2) (pow.f64 b 2))))
(*.f64 (-.f64 (pow.f64 (*.f64 c (/.f64 a d)) 2) (pow.f64 b 2)) (/.f64 1 (fma.f64 a (/.f64 c d) b)))
(/.f64 (-.f64 (pow.f64 (*.f64 c (/.f64 a d)) 2) (pow.f64 b 2)) (fma.f64 c (/.f64 a d) b))
(/.f64 (-.f64 (pow.f64 (*.f64 a (/.f64 c d)) 3) (pow.f64 b 3)) (+.f64 (pow.f64 (*.f64 a (/.f64 c d)) 2) (*.f64 b (fma.f64 a (/.f64 c d) b))))
(*.f64 (-.f64 (pow.f64 (*.f64 c (/.f64 a d)) 3) (pow.f64 b 3)) (/.f64 1 (+.f64 (pow.f64 (*.f64 c (/.f64 a d)) 2) (*.f64 b (fma.f64 a (/.f64 c d) b)))))
(/.f64 (-.f64 (pow.f64 (*.f64 c (/.f64 a d)) 3) (pow.f64 b 3)) (fma.f64 b (fma.f64 c (/.f64 a d) b) (pow.f64 (*.f64 c (/.f64 a d)) 2)))
(/.f64 (-.f64 (pow.f64 (*.f64 a (/.f64 c d)) 2) (pow.f64 b 2)) (fma.f64 a (/.f64 c d) b))
(*.f64 (-.f64 (pow.f64 (*.f64 c (/.f64 a d)) 2) (pow.f64 b 2)) (/.f64 1 (fma.f64 a (/.f64 c d) b)))
(/.f64 (-.f64 (pow.f64 (*.f64 c (/.f64 a d)) 2) (pow.f64 b 2)) (fma.f64 c (/.f64 a d) b))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 a (/.f64 c d)) 3) (pow.f64 b 3))) (neg.f64 (+.f64 (pow.f64 (*.f64 a (/.f64 c d)) 2) (*.f64 b (fma.f64 a (/.f64 c d) b)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 c (/.f64 a d)) 3) (pow.f64 b 3))) (neg.f64 (+.f64 (pow.f64 (*.f64 c (/.f64 a d)) 2) (*.f64 b (fma.f64 a (/.f64 c d) b)))))
(*.f64 1 (/.f64 (-.f64 (pow.f64 (*.f64 c (/.f64 a d)) 3) (pow.f64 b 3)) (fma.f64 b (fma.f64 c (/.f64 a d) b) (pow.f64 (*.f64 c (/.f64 a d)) 2))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 a (/.f64 c d)) 2) (pow.f64 b 2))) (fma.f64 a (/.f64 c d) (neg.f64 b)))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 c (/.f64 a d)) 2) (pow.f64 b 2))) (fma.f64 a (/.f64 c d) (neg.f64 b)))
(/.f64 (+.f64 (neg.f64 (pow.f64 (*.f64 c (/.f64 a d)) 2)) (pow.f64 b 2)) (-.f64 (*.f64 c (/.f64 a d)) b))
(/.f64 (+.f64 (pow.f64 (*.f64 a (/.f64 c d)) 3) (pow.f64 (neg.f64 b) 3)) (+.f64 (pow.f64 (*.f64 a (/.f64 c d)) 2) (-.f64 (*.f64 (neg.f64 b) (neg.f64 b)) (*.f64 (*.f64 a (/.f64 c d)) (neg.f64 b)))))
(*.f64 (-.f64 (pow.f64 (*.f64 c (/.f64 a d)) 3) (pow.f64 b 3)) (/.f64 1 (+.f64 (pow.f64 (*.f64 c (/.f64 a d)) 2) (*.f64 b (fma.f64 a (/.f64 c d) b)))))
(/.f64 (-.f64 (pow.f64 (*.f64 c (/.f64 a d)) 3) (pow.f64 b 3)) (fma.f64 b (fma.f64 c (/.f64 a d) b) (pow.f64 (*.f64 c (/.f64 a d)) 2)))
(/.f64 (-.f64 (pow.f64 (*.f64 a (/.f64 c d)) 2) (*.f64 (neg.f64 b) (neg.f64 b))) (-.f64 (*.f64 a (/.f64 c d)) (neg.f64 b)))
(*.f64 (-.f64 (pow.f64 (*.f64 c (/.f64 a d)) 2) (pow.f64 b 2)) (/.f64 1 (fma.f64 a (/.f64 c d) b)))
(/.f64 (-.f64 (pow.f64 (*.f64 c (/.f64 a d)) 2) (pow.f64 b 2)) (fma.f64 c (/.f64 a d) b))
(pow.f64 (fma.f64 a (/.f64 c d) (neg.f64 b)) 1)
(fma.f64 a (/.f64 c d) (neg.f64 b))
(-.f64 (*.f64 c (/.f64 a d)) b)
(pow.f64 (cbrt.f64 (fma.f64 a (/.f64 c d) (neg.f64 b))) 3)
(fma.f64 a (/.f64 c d) (neg.f64 b))
(-.f64 (*.f64 c (/.f64 a d)) b)
(pow.f64 (pow.f64 (fma.f64 a (/.f64 c d) (neg.f64 b)) 3) 1/3)
(fma.f64 a (/.f64 c d) (neg.f64 b))
(-.f64 (*.f64 c (/.f64 a d)) b)
(pow.f64 (sqrt.f64 (fma.f64 a (/.f64 c d) (neg.f64 b))) 2)
(fma.f64 a (/.f64 c d) (neg.f64 b))
(-.f64 (*.f64 c (/.f64 a d)) b)
(neg.f64 (fma.f64 a (/.f64 c d) b))
(neg.f64 (fma.f64 c (/.f64 a d) b))
(sqrt.f64 (pow.f64 (fma.f64 a (/.f64 c d) (neg.f64 b)) 2))
(fabs.f64 (-.f64 (*.f64 c (/.f64 a d)) b))
(log.f64 (exp.f64 (fma.f64 a (/.f64 c d) (neg.f64 b))))
(fma.f64 a (/.f64 c d) (neg.f64 b))
(-.f64 (*.f64 c (/.f64 a d)) b)
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 a (/.f64 c d) (neg.f64 b)))))
(fma.f64 a (/.f64 c d) (neg.f64 b))
(-.f64 (*.f64 c (/.f64 a d)) b)
(cbrt.f64 (pow.f64 (fma.f64 a (/.f64 c d) (neg.f64 b)) 3))
(fma.f64 a (/.f64 c d) (neg.f64 b))
(-.f64 (*.f64 c (/.f64 a d)) b)
(expm1.f64 (log1p.f64 (fma.f64 a (/.f64 c d) (neg.f64 b))))
(fma.f64 a (/.f64 c d) (neg.f64 b))
(-.f64 (*.f64 c (/.f64 a d)) b)
(exp.f64 (log.f64 (fma.f64 a (/.f64 c d) (neg.f64 b))))
(fma.f64 a (/.f64 c d) (neg.f64 b))
(-.f64 (*.f64 c (/.f64 a d)) b)
(exp.f64 (*.f64 (log.f64 (fma.f64 a (/.f64 c d) (neg.f64 b))) 1))
(fma.f64 a (/.f64 c d) (neg.f64 b))
(-.f64 (*.f64 c (/.f64 a d)) b)
(log1p.f64 (expm1.f64 (fma.f64 a (/.f64 c d) (neg.f64 b))))
(fma.f64 a (/.f64 c d) (neg.f64 b))
(-.f64 (*.f64 c (/.f64 a d)) b)
(fma.f64 a (/.f64 c d) (neg.f64 b))
(-.f64 (*.f64 c (/.f64 a d)) b)
(fma.f64 1 (*.f64 a (/.f64 c d)) (neg.f64 b))
(fma.f64 a (/.f64 c d) (neg.f64 b))
(-.f64 (*.f64 c (/.f64 a d)) b)
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 a (/.f64 c d))) 2) (cbrt.f64 (*.f64 a (/.f64 c d))) (neg.f64 b))
(fma.f64 a (/.f64 c d) (neg.f64 b))
(-.f64 (*.f64 c (/.f64 a d)) b)
(fma.f64 (sqrt.f64 (*.f64 a (/.f64 c d))) (sqrt.f64 (*.f64 a (/.f64 c d))) (neg.f64 b))
(fma.f64 a (/.f64 c d) (neg.f64 b))
(-.f64 (*.f64 c (/.f64 a d)) b)
(fma.f64 (/.f64 a d) c (neg.f64 b))
(fma.f64 a (/.f64 c d) (neg.f64 b))
(-.f64 (*.f64 c (/.f64 a d)) b)

eval289.0ms (2.7%)

Compiler

Compiled 13125 to 5797 computations (55.8% saved)

prune152.0ms (1.4%)

Pruning

30 alts after pruning (21 fresh and 9 done)

PrunedKeptTotal
New6406646
Fresh71522
Picked145
Done055
Total64830678
Accuracy
100.0%
Counts
678 → 30
Alt Table
Click to see full alt table
StatusAccuracyProgram
73.4%
(/.f64 (/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) (hypot.f64 c d)) (hypot.f64 c d))
24.6%
(/.f64 (-.f64 (-.f64 (*.f64 (/.f64 b (/.f64 (pow.f64 d 2) (pow.f64 c 2))) 1/2) (/.f64 a (/.f64 d c))) b) (hypot.f64 c d))
28.9%
(/.f64 (-.f64 (*.f64 (/.f64 a d) c) b) (hypot.f64 c d))
28.9%
(/.f64 (-.f64 (*.f64 a (neg.f64 (/.f64 c d))) b) (hypot.f64 c d))
33.0%
(/.f64 (-.f64 (neg.f64 a) (/.f64 b (/.f64 c d))) (hypot.f64 c d))
56.5%
(/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) (+.f64 (*.f64 c c) (*.f64 d d)))
33.7%
(/.f64 (+.f64 a (/.f64 b (/.f64 c d))) (hypot.f64 c d))
38.0%
(/.f64 (*.f64 c a) (+.f64 (*.f64 c c) (*.f64 d d)))
37.6%
(/.f64 (*.f64 b d) (+.f64 (*.f64 c c) (*.f64 d d)))
16.8%
(/.f64 (*.f64 a c) (pow.f64 d 2))
10.0%
(/.f64 (neg.f64 b) d)
9.0%
(/.f64 (neg.f64 b) c)
9.8%
(/.f64 (neg.f64 a) d)
13.5%
(/.f64 (neg.f64 a) c)
46.1%
(/.f64 b d)
10.4%
(/.f64 b c)
31.8%
(/.f64 a (hypot.f64 c d))
8.7%
(/.f64 a d)
43.1%
(/.f64 a c)
61.6%
(+.f64 (/.f64 b (/.f64 (fma.f64 d d (pow.f64 c 2)) d)) (/.f64 a (/.f64 (fma.f64 d d (pow.f64 c 2)) c)))
53.5%
(+.f64 (/.f64 b d) (/.f64 a (*.f64 (/.f64 d 1) (/.f64 d c))))
46.9%
(+.f64 (/.f64 a c) (/.f64 b (/.f64 (pow.f64 c 2) d)))
73.1%
(*.f64 (pow.f64 (pow.f64 (hypot.f64 c d) -1/2) 2) (/.f64 (fma.f64 a c (*.f64 b d)) (hypot.f64 c d)))
33.0%
(*.f64 (/.f64 1 (hypot.f64 c d)) (*.f64 -1 (+.f64 a (/.f64 b (/.f64 c d)))))
31.7%
(*.f64 (/.f64 1 (hypot.f64 c d)) a)
54.5%
(*.f64 (/.f64 1 d) (+.f64 b (/.f64 a (/.f64 d c))))
8.7%
(*.f64 (/.f64 1 d) a)
10.4%
(*.f64 (/.f64 1 c) b)
43.0%
(*.f64 (/.f64 1 c) a)
40.2%
(*.f64 a (/.f64 c (pow.f64 (hypot.f64 c d) 2)))
Compiler

Compiled 1078 to 497 computations (53.9% saved)

regimes640.0ms (5.9%)

Counts
60 → 2
Calls
Call 1
Inputs
(/.f64 a c)
(/.f64 a d)
(/.f64 b c)
(/.f64 b d)
(/.f64 (neg.f64 a) c)
(/.f64 (neg.f64 a) d)
(/.f64 (neg.f64 b) c)
(/.f64 (neg.f64 b) d)
(*.f64 a (/.f64 1 c))
(*.f64 (/.f64 1 c) a)
(*.f64 (/.f64 1 c) b)
(*.f64 (/.f64 1 d) a)
(*.f64 (/.f64 1 d) (+.f64 b (/.f64 a (/.f64 d 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 b d) (/.f64 a (*.f64 (/.f64 d 1) (/.f64 d c))))
(/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) (+.f64 (*.f64 c c) (*.f64 d d)))
(/.f64 a (hypot.f64 c d))
(/.f64 (neg.f64 a) (hypot.f64 c d))
(*.f64 c (/.f64 a (pow.f64 d 2)))
(*.f64 (/.f64 1 (hypot.f64 c d)) a)
(*.f64 (/.f64 1 (hypot.f64 c d)) b)
(/.f64 (*.f64 a c) (pow.f64 d 2))
(*.f64 (/.f64 1 (hypot.f64 c d)) (neg.f64 a))
(*.f64 (/.f64 1 (hypot.f64 c d)) (neg.f64 b))
(+.f64 (/.f64 a c) (/.f64 b (/.f64 (pow.f64 c 2) d)))
(+.f64 (/.f64 b d) (*.f64 (/.f64 a (pow.f64 d 2)) c))
(+.f64 (/.f64 b d) (/.f64 a (/.f64 (pow.f64 d 2) c)))
(/.f64 (+.f64 a (/.f64 b (/.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 (*.f64 (/.f64 a d) c) b) (hypot.f64 c d))
(/.f64 (-.f64 (neg.f64 a) (/.f64 b (/.f64 c d))) (hypot.f64 c d))
(/.f64 (-.f64 (*.f64 a (neg.f64 (/.f64 c d))) b) (hypot.f64 c d))
(/.f64 (-.f64 (/.f64 (neg.f64 a) (/.f64 d c)) b) (hypot.f64 c d))
(/.f64 (-.f64 (/.f64 (*.f64 b (neg.f64 d)) c) a) (hypot.f64 c d))
(*.f64 (/.f64 1 (hypot.f64 c d)) (+.f64 a (/.f64 b (/.f64 c d))))
(*.f64 (/.f64 1 (hypot.f64 c d)) (+.f64 b (/.f64 a (/.f64 d c))))
(*.f64 (/.f64 1 (hypot.f64 c d)) (+.f64 b (/.f64 (*.f64 a c) d)))
(/.f64 (*.f64 -1 (+.f64 a (/.f64 b (/.f64 c d)))) (hypot.f64 c d))
(*.f64 (/.f64 1 (hypot.f64 c d)) (-.f64 (/.f64 (neg.f64 a) (/.f64 d c)) b))
(*.f64 (/.f64 1 (hypot.f64 c d)) (-.f64 (/.f64 (*.f64 b (neg.f64 d)) c) a))
(*.f64 (/.f64 1 (hypot.f64 c d)) (*.f64 -1 (+.f64 a (/.f64 b (/.f64 c d)))))
(/.f64 (+.f64 (*.f64 -1 b) (*.f64 -1 (/.f64 (*.f64 a c) d))) (hypot.f64 c d))
(*.f64 a (/.f64 c (pow.f64 (hypot.f64 c d) 2)))
(*.f64 (/.f64 a (fma.f64 d d (pow.f64 c 2))) c)
(*.f64 (/.f64 c (hypot.f64 c d)) (/.f64 a (hypot.f64 c d)))
(/.f64 a (/.f64 (+.f64 (pow.f64 c 2) (pow.f64 d 2)) c))
(/.f64 (/.f64 (*.f64 c a) (hypot.f64 c d)) (hypot.f64 c d))
(/.f64 (/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) (hypot.f64 c d)) (hypot.f64 c d))
(*.f64 (/.f64 1 (hypot.f64 c d)) (/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) (hypot.f64 c d)))
(/.f64 (/.f64 (-.f64 (pow.f64 (*.f64 b d) 2) (pow.f64 (*.f64 a c) 2)) (-.f64 (*.f64 b d) (*.f64 a c))) (+.f64 (*.f64 c c) (*.f64 d d)))
(/.f64 (/.f64 (fma.f64 a c (*.f64 b d)) (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 (-.f64 (-.f64 (*.f64 (/.f64 b (/.f64 (pow.f64 d 2) (pow.f64 c 2))) 1/2) (/.f64 a (/.f64 d c))) b) (hypot.f64 c d))
(*.f64 (/.f64 1 (hypot.f64 c d)) (-.f64 (-.f64 (*.f64 (/.f64 b (/.f64 (pow.f64 d 2) (pow.f64 c 2))) 1/2) (/.f64 a (/.f64 d c))) b))
(+.f64 (*.f64 (/.f64 b (fma.f64 d d (pow.f64 c 2))) d) (*.f64 (/.f64 a (fma.f64 d d (pow.f64 c 2))) c))
(+.f64 (/.f64 b (/.f64 (fma.f64 d d (pow.f64 c 2)) d)) (/.f64 a (/.f64 (fma.f64 d d (pow.f64 c 2)) c)))
(*.f64 (pow.f64 (pow.f64 (hypot.f64 c d) -1/2) 2) (/.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) (hypot.f64 c d)) (/.f64 (cbrt.f64 (fma.f64 a c (*.f64 b d))) (hypot.f64 c d)))
Outputs
(/.f64 (/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) (hypot.f64 c d)) (hypot.f64 c d))
(*.f64 (/.f64 1 d) (+.f64 b (/.f64 a (/.f64 d c))))
Calls

5 calls:

308.0ms
b
134.0ms
c
86.0ms
d
80.0ms
a
27.0ms
(/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) (+.f64 (*.f64 c c) (*.f64 d d)))
Results
AccuracySegmentsBranch
77.8%3a
83.5%7b
88.6%5c
85.9%3d
85.3%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)

regimes405.0ms (3.7%)

Counts
49 → 7
Calls
Call 1
Inputs
(/.f64 a c)
(/.f64 a d)
(/.f64 b c)
(/.f64 b d)
(/.f64 (neg.f64 a) c)
(/.f64 (neg.f64 a) d)
(/.f64 (neg.f64 b) c)
(/.f64 (neg.f64 b) d)
(*.f64 a (/.f64 1 c))
(*.f64 (/.f64 1 c) a)
(*.f64 (/.f64 1 c) b)
(*.f64 (/.f64 1 d) a)
(*.f64 (/.f64 1 d) (+.f64 b (/.f64 a (/.f64 d 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 b d) (/.f64 a (*.f64 (/.f64 d 1) (/.f64 d c))))
(/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) (+.f64 (*.f64 c c) (*.f64 d d)))
(/.f64 a (hypot.f64 c d))
(/.f64 (neg.f64 a) (hypot.f64 c d))
(*.f64 c (/.f64 a (pow.f64 d 2)))
(*.f64 (/.f64 1 (hypot.f64 c d)) a)
(*.f64 (/.f64 1 (hypot.f64 c d)) b)
(/.f64 (*.f64 a c) (pow.f64 d 2))
(*.f64 (/.f64 1 (hypot.f64 c d)) (neg.f64 a))
(*.f64 (/.f64 1 (hypot.f64 c d)) (neg.f64 b))
(+.f64 (/.f64 a c) (/.f64 b (/.f64 (pow.f64 c 2) d)))
(+.f64 (/.f64 b d) (*.f64 (/.f64 a (pow.f64 d 2)) c))
(+.f64 (/.f64 b d) (/.f64 a (/.f64 (pow.f64 d 2) c)))
(/.f64 (+.f64 a (/.f64 b (/.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 (*.f64 (/.f64 a d) c) b) (hypot.f64 c d))
(/.f64 (-.f64 (neg.f64 a) (/.f64 b (/.f64 c d))) (hypot.f64 c d))
(/.f64 (-.f64 (*.f64 a (neg.f64 (/.f64 c d))) b) (hypot.f64 c d))
(/.f64 (-.f64 (/.f64 (neg.f64 a) (/.f64 d c)) b) (hypot.f64 c d))
(/.f64 (-.f64 (/.f64 (*.f64 b (neg.f64 d)) c) a) (hypot.f64 c d))
(*.f64 (/.f64 1 (hypot.f64 c d)) (+.f64 a (/.f64 b (/.f64 c d))))
(*.f64 (/.f64 1 (hypot.f64 c d)) (+.f64 b (/.f64 a (/.f64 d c))))
(*.f64 (/.f64 1 (hypot.f64 c d)) (+.f64 b (/.f64 (*.f64 a c) d)))
(/.f64 (*.f64 -1 (+.f64 a (/.f64 b (/.f64 c d)))) (hypot.f64 c d))
(*.f64 (/.f64 1 (hypot.f64 c d)) (-.f64 (/.f64 (neg.f64 a) (/.f64 d c)) b))
(*.f64 (/.f64 1 (hypot.f64 c d)) (-.f64 (/.f64 (*.f64 b (neg.f64 d)) c) a))
(*.f64 (/.f64 1 (hypot.f64 c d)) (*.f64 -1 (+.f64 a (/.f64 b (/.f64 c d)))))
(/.f64 (+.f64 (*.f64 -1 b) (*.f64 -1 (/.f64 (*.f64 a c) d))) (hypot.f64 c d))
(*.f64 a (/.f64 c (pow.f64 (hypot.f64 c d) 2)))
(*.f64 (/.f64 a (fma.f64 d d (pow.f64 c 2))) c)
(*.f64 (/.f64 c (hypot.f64 c d)) (/.f64 a (hypot.f64 c d)))
(/.f64 a (/.f64 (+.f64 (pow.f64 c 2) (pow.f64 d 2)) c))
(/.f64 (/.f64 (*.f64 c a) (hypot.f64 c d)) (hypot.f64 c d))
Outputs
(/.f64 (-.f64 (neg.f64 a) (/.f64 b (/.f64 c d))) (hypot.f64 c d))
(*.f64 (/.f64 c (hypot.f64 c d)) (/.f64 a (hypot.f64 c d)))
(/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) (+.f64 (*.f64 c c) (*.f64 d d)))
(*.f64 (/.f64 1 d) (+.f64 b (/.f64 a (/.f64 d c))))
(/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) (+.f64 (*.f64 c c) (*.f64 d d)))
(*.f64 (/.f64 1 d) (+.f64 b (/.f64 a (/.f64 d c))))
(/.f64 (+.f64 a (/.f64 b (/.f64 c d))) (hypot.f64 c d))
Calls

3 calls:

201.0ms
c
104.0ms
d
42.0ms
(/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) (+.f64 (*.f64 c c) (*.f64 d d)))
Results
AccuracySegmentsBranch
84.9%7c
80.1%5d
77.4%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)

regimes86.0ms (0.8%)

Counts
46 → 4
Calls
Call 1
Inputs
(/.f64 a c)
(/.f64 a d)
(/.f64 b c)
(/.f64 b d)
(/.f64 (neg.f64 a) c)
(/.f64 (neg.f64 a) d)
(/.f64 (neg.f64 b) c)
(/.f64 (neg.f64 b) d)
(*.f64 a (/.f64 1 c))
(*.f64 (/.f64 1 c) a)
(*.f64 (/.f64 1 c) b)
(*.f64 (/.f64 1 d) a)
(*.f64 (/.f64 1 d) (+.f64 b (/.f64 a (/.f64 d 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 b d) (/.f64 a (*.f64 (/.f64 d 1) (/.f64 d c))))
(/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) (+.f64 (*.f64 c c) (*.f64 d d)))
(/.f64 a (hypot.f64 c d))
(/.f64 (neg.f64 a) (hypot.f64 c d))
(*.f64 c (/.f64 a (pow.f64 d 2)))
(*.f64 (/.f64 1 (hypot.f64 c d)) a)
(*.f64 (/.f64 1 (hypot.f64 c d)) b)
(/.f64 (*.f64 a c) (pow.f64 d 2))
(*.f64 (/.f64 1 (hypot.f64 c d)) (neg.f64 a))
(*.f64 (/.f64 1 (hypot.f64 c d)) (neg.f64 b))
(+.f64 (/.f64 a c) (/.f64 b (/.f64 (pow.f64 c 2) d)))
(+.f64 (/.f64 b d) (*.f64 (/.f64 a (pow.f64 d 2)) c))
(+.f64 (/.f64 b d) (/.f64 a (/.f64 (pow.f64 d 2) c)))
(/.f64 (+.f64 a (/.f64 b (/.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 (*.f64 (/.f64 a d) c) b) (hypot.f64 c d))
(/.f64 (-.f64 (neg.f64 a) (/.f64 b (/.f64 c d))) (hypot.f64 c d))
(/.f64 (-.f64 (*.f64 a (neg.f64 (/.f64 c d))) b) (hypot.f64 c d))
(/.f64 (-.f64 (/.f64 (neg.f64 a) (/.f64 d c)) b) (hypot.f64 c d))
(/.f64 (-.f64 (/.f64 (*.f64 b (neg.f64 d)) c) a) (hypot.f64 c d))
(*.f64 (/.f64 1 (hypot.f64 c d)) (+.f64 a (/.f64 b (/.f64 c d))))
(*.f64 (/.f64 1 (hypot.f64 c d)) (+.f64 b (/.f64 a (/.f64 d c))))
(*.f64 (/.f64 1 (hypot.f64 c d)) (+.f64 b (/.f64 (*.f64 a c) d)))
(/.f64 (*.f64 -1 (+.f64 a (/.f64 b (/.f64 c d)))) (hypot.f64 c d))
(*.f64 (/.f64 1 (hypot.f64 c d)) (-.f64 (/.f64 (neg.f64 a) (/.f64 d c)) b))
(*.f64 (/.f64 1 (hypot.f64 c d)) (-.f64 (/.f64 (*.f64 b (neg.f64 d)) c) a))
(*.f64 (/.f64 1 (hypot.f64 c d)) (*.f64 -1 (+.f64 a (/.f64 b (/.f64 c d)))))
(/.f64 (+.f64 (*.f64 -1 b) (*.f64 -1 (/.f64 (*.f64 a c) d))) (hypot.f64 c d))
(*.f64 a (/.f64 c (pow.f64 (hypot.f64 c d) 2)))
(*.f64 (/.f64 a (fma.f64 d d (pow.f64 c 2))) c)
Outputs
(/.f64 (-.f64 (neg.f64 a) (/.f64 b (/.f64 c d))) (hypot.f64 c d))
(/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) (+.f64 (*.f64 c c) (*.f64 d d)))
(*.f64 (/.f64 1 d) (+.f64 b (/.f64 a (/.f64 d c))))
(/.f64 (+.f64 a (/.f64 b (/.f64 c d))) (hypot.f64 c d))
Calls

1 calls:

83.0ms
c
Results
AccuracySegmentsBranch
83.1%4c
Compiler

Compiled 5 to 4 computations (20% saved)

regimes107.0ms (1%)

Counts
32 → 4
Calls
Call 1
Inputs
(/.f64 a c)
(/.f64 a d)
(/.f64 b c)
(/.f64 b d)
(/.f64 (neg.f64 a) c)
(/.f64 (neg.f64 a) d)
(/.f64 (neg.f64 b) c)
(/.f64 (neg.f64 b) d)
(*.f64 a (/.f64 1 c))
(*.f64 (/.f64 1 c) a)
(*.f64 (/.f64 1 c) b)
(*.f64 (/.f64 1 d) a)
(*.f64 (/.f64 1 d) (+.f64 b (/.f64 a (/.f64 d 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 b d) (/.f64 a (*.f64 (/.f64 d 1) (/.f64 d c))))
(/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) (+.f64 (*.f64 c c) (*.f64 d d)))
(/.f64 a (hypot.f64 c d))
(/.f64 (neg.f64 a) (hypot.f64 c d))
(*.f64 c (/.f64 a (pow.f64 d 2)))
(*.f64 (/.f64 1 (hypot.f64 c d)) a)
(*.f64 (/.f64 1 (hypot.f64 c d)) b)
(/.f64 (*.f64 a c) (pow.f64 d 2))
(*.f64 (/.f64 1 (hypot.f64 c d)) (neg.f64 a))
(*.f64 (/.f64 1 (hypot.f64 c d)) (neg.f64 b))
(+.f64 (/.f64 a c) (/.f64 b (/.f64 (pow.f64 c 2) d)))
(+.f64 (/.f64 b d) (*.f64 (/.f64 a (pow.f64 d 2)) c))
(+.f64 (/.f64 b d) (/.f64 a (/.f64 (pow.f64 d 2) c)))
(/.f64 (+.f64 a (/.f64 b (/.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 (*.f64 (/.f64 a d) c) b) (hypot.f64 c d))
Outputs
(+.f64 (/.f64 a c) (/.f64 b (/.f64 (pow.f64 c 2) d)))
(/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) (+.f64 (*.f64 c c) (*.f64 d d)))
(*.f64 (/.f64 1 d) (+.f64 b (/.f64 a (/.f64 d c))))
(/.f64 (+.f64 a (/.f64 b (/.f64 c d))) (hypot.f64 c d))
Calls

1 calls:

104.0ms
c
Results
AccuracySegmentsBranch
81.0%4c
Compiler

Compiled 5 to 4 computations (20% saved)

regimes201.0ms (1.8%)

Counts
28 → 4
Calls
Call 1
Inputs
(/.f64 a c)
(/.f64 a d)
(/.f64 b c)
(/.f64 b d)
(/.f64 (neg.f64 a) c)
(/.f64 (neg.f64 a) d)
(/.f64 (neg.f64 b) c)
(/.f64 (neg.f64 b) d)
(*.f64 a (/.f64 1 c))
(*.f64 (/.f64 1 c) a)
(*.f64 (/.f64 1 c) b)
(*.f64 (/.f64 1 d) a)
(*.f64 (/.f64 1 d) (+.f64 b (/.f64 a (/.f64 d 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 b d) (/.f64 a (*.f64 (/.f64 d 1) (/.f64 d c))))
(/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) (+.f64 (*.f64 c c) (*.f64 d d)))
(/.f64 a (hypot.f64 c d))
(/.f64 (neg.f64 a) (hypot.f64 c d))
(*.f64 c (/.f64 a (pow.f64 d 2)))
(*.f64 (/.f64 1 (hypot.f64 c d)) a)
(*.f64 (/.f64 1 (hypot.f64 c d)) b)
(/.f64 (*.f64 a c) (pow.f64 d 2))
(*.f64 (/.f64 1 (hypot.f64 c d)) (neg.f64 a))
(*.f64 (/.f64 1 (hypot.f64 c d)) (neg.f64 b))
(+.f64 (/.f64 a c) (/.f64 b (/.f64 (pow.f64 c 2) d)))
(+.f64 (/.f64 b d) (*.f64 (/.f64 a (pow.f64 d 2)) c))
(+.f64 (/.f64 b d) (/.f64 a (/.f64 (pow.f64 d 2) c)))
Outputs
(+.f64 (/.f64 a c) (/.f64 b (/.f64 (pow.f64 c 2) d)))
(/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) (+.f64 (*.f64 c c) (*.f64 d d)))
(*.f64 (/.f64 1 d) (+.f64 b (/.f64 a (/.f64 d c))))
(+.f64 (/.f64 a c) (/.f64 b (/.f64 (pow.f64 c 2) d)))
Calls

3 calls:

79.0ms
a
66.0ms
b
54.0ms
c
Results
AccuracySegmentsBranch
68.4%5b
65.7%6a
78.6%4c
Compiler

Compiled 15 to 12 computations (20% saved)

regimes121.0ms (1.1%)

Counts
25 → 4
Calls
Call 1
Inputs
(/.f64 a c)
(/.f64 a d)
(/.f64 b c)
(/.f64 b d)
(/.f64 (neg.f64 a) c)
(/.f64 (neg.f64 a) d)
(/.f64 (neg.f64 b) c)
(/.f64 (neg.f64 b) d)
(*.f64 a (/.f64 1 c))
(*.f64 (/.f64 1 c) a)
(*.f64 (/.f64 1 c) b)
(*.f64 (/.f64 1 d) a)
(*.f64 (/.f64 1 d) (+.f64 b (/.f64 a (/.f64 d 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 b d) (/.f64 a (*.f64 (/.f64 d 1) (/.f64 d c))))
(/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) (+.f64 (*.f64 c c) (*.f64 d d)))
(/.f64 a (hypot.f64 c d))
(/.f64 (neg.f64 a) (hypot.f64 c d))
(*.f64 c (/.f64 a (pow.f64 d 2)))
(*.f64 (/.f64 1 (hypot.f64 c d)) a)
(*.f64 (/.f64 1 (hypot.f64 c d)) b)
(/.f64 (*.f64 a c) (pow.f64 d 2))
(*.f64 (/.f64 1 (hypot.f64 c d)) (neg.f64 a))
(*.f64 (/.f64 1 (hypot.f64 c d)) (neg.f64 b))
Outputs
(/.f64 (neg.f64 a) (hypot.f64 c d))
(/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) (+.f64 (*.f64 c c) (*.f64 d d)))
(*.f64 (/.f64 1 d) (+.f64 b (/.f64 a (/.f64 d c))))
(/.f64 a (hypot.f64 c d))
Calls

2 calls:

66.0ms
d
53.0ms
c
Results
AccuracySegmentsBranch
79.1%5d
78.0%4c
Compiler

Compiled 10 to 8 computations (20% saved)

regimes40.0ms (0.4%)

Counts
18 → 4
Calls
Call 1
Inputs
(/.f64 a c)
(/.f64 a d)
(/.f64 b c)
(/.f64 b d)
(/.f64 (neg.f64 a) c)
(/.f64 (neg.f64 a) d)
(/.f64 (neg.f64 b) c)
(/.f64 (neg.f64 b) d)
(*.f64 a (/.f64 1 c))
(*.f64 (/.f64 1 c) a)
(*.f64 (/.f64 1 c) b)
(*.f64 (/.f64 1 d) a)
(*.f64 (/.f64 1 d) (+.f64 b (/.f64 a (/.f64 d 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 b d) (/.f64 a (*.f64 (/.f64 d 1) (/.f64 d c))))
(/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) (+.f64 (*.f64 c c) (*.f64 d d)))
(/.f64 a (hypot.f64 c d))
Outputs
(/.f64 a c)
(/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) (+.f64 (*.f64 c c) (*.f64 d d)))
(*.f64 (/.f64 1 d) (+.f64 b (/.f64 a (/.f64 d c))))
(/.f64 a (hypot.f64 c d))
Calls

1 calls:

39.0ms
c
Results
AccuracySegmentsBranch
77.9%4c
Compiler

Compiled 5 to 4 computations (20% saved)

regimes45.0ms (0.4%)

Counts
17 → 5
Calls
Call 1
Inputs
(/.f64 a c)
(/.f64 a d)
(/.f64 b c)
(/.f64 b d)
(/.f64 (neg.f64 a) c)
(/.f64 (neg.f64 a) d)
(/.f64 (neg.f64 b) c)
(/.f64 (neg.f64 b) d)
(*.f64 a (/.f64 1 c))
(*.f64 (/.f64 1 c) a)
(*.f64 (/.f64 1 c) b)
(*.f64 (/.f64 1 d) a)
(*.f64 (/.f64 1 d) (+.f64 b (/.f64 a (/.f64 d 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 b d) (/.f64 a (*.f64 (/.f64 d 1) (/.f64 d c))))
(/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) (+.f64 (*.f64 c c) (*.f64 d d)))
Outputs
(/.f64 a c)
(/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) (+.f64 (*.f64 c c) (*.f64 d d)))
(*.f64 (/.f64 1 d) (+.f64 b (/.f64 a (/.f64 d c))))
(/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) (+.f64 (*.f64 c c) (*.f64 d d)))
(/.f64 a c)
Calls

1 calls:

44.0ms
c
Results
AccuracySegmentsBranch
79.4%5c
Compiler

Compiled 5 to 4 computations (20% saved)

regimes67.0ms (0.6%)

Counts
16 → 3
Calls
Call 1
Inputs
(/.f64 a c)
(/.f64 a d)
(/.f64 b c)
(/.f64 b d)
(/.f64 (neg.f64 a) c)
(/.f64 (neg.f64 a) d)
(/.f64 (neg.f64 b) c)
(/.f64 (neg.f64 b) d)
(*.f64 a (/.f64 1 c))
(*.f64 (/.f64 1 c) a)
(*.f64 (/.f64 1 c) b)
(*.f64 (/.f64 1 d) a)
(*.f64 (/.f64 1 d) (+.f64 b (/.f64 a (/.f64 d 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 b d) (/.f64 a (*.f64 (/.f64 d 1) (/.f64 d c))))
Outputs
(+.f64 (/.f64 b d) (/.f64 a (*.f64 (/.f64 d 1) (/.f64 d c))))
(/.f64 a c)
(*.f64 (/.f64 1 d) (+.f64 b (/.f64 a (/.f64 d c))))
Calls

2 calls:

39.0ms
c
26.0ms
d
Results
AccuracySegmentsBranch
74.3%3d
74.1%3c
Compiler

Compiled 10 to 8 computations (20% saved)

regimes31.0ms (0.3%)

Counts
15 → 3
Calls
Call 1
Inputs
(/.f64 a c)
(/.f64 a d)
(/.f64 b c)
(/.f64 b d)
(/.f64 (neg.f64 a) c)
(/.f64 (neg.f64 a) d)
(/.f64 (neg.f64 b) c)
(/.f64 (neg.f64 b) d)
(*.f64 a (/.f64 1 c))
(*.f64 (/.f64 1 c) a)
(*.f64 (/.f64 1 c) b)
(*.f64 (/.f64 1 d) a)
(*.f64 (/.f64 1 d) (+.f64 b (/.f64 a (/.f64 d c))))
(/.f64 (*.f64 b d) (+.f64 (*.f64 c c) (*.f64 d d)))
(/.f64 (*.f64 c a) (+.f64 (*.f64 c c) (*.f64 d d)))
Outputs
(*.f64 (/.f64 1 d) (+.f64 b (/.f64 a (/.f64 d c))))
(/.f64 a c)
(*.f64 (/.f64 1 d) (+.f64 b (/.f64 a (/.f64 d c))))
Calls

1 calls:

30.0ms
d
Results
AccuracySegmentsBranch
74.2%3d
Compiler

Compiled 5 to 4 computations (20% saved)

regimes49.0ms (0.5%)

Counts
12 → 3
Calls
Call 1
Inputs
(/.f64 a c)
(/.f64 a d)
(/.f64 b c)
(/.f64 b d)
(/.f64 (neg.f64 a) c)
(/.f64 (neg.f64 a) d)
(/.f64 (neg.f64 b) c)
(/.f64 (neg.f64 b) d)
(*.f64 a (/.f64 1 c))
(*.f64 (/.f64 1 c) a)
(*.f64 (/.f64 1 c) b)
(*.f64 (/.f64 1 d) a)
Outputs
(/.f64 b d)
(/.f64 a c)
(/.f64 b d)
Calls

2 calls:

27.0ms
c
22.0ms
d
Results
AccuracySegmentsBranch
67.7%3c
70.0%3d
Compiler

Compiled 10 to 8 computations (20% saved)

regimes20.0ms (0.2%)

Accuracy

Total -25.7b remaining (-70.6%)

Threshold costs -25.7b (-70.6%)

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

4 calls:

9.0ms
d
3.0ms
c
3.0ms
a
3.0ms
b
Results
AccuracySegmentsBranch
43.1%1a
43.1%1b
43.1%1c
43.1%1d
Compiler

Compiled 20 to 16 computations (20% saved)

bsearch1.0ms (0%)

Algorithm
left-value
Steps
TimeLeftRight
0.0ms
5.31574977447366e+298
+inf
Compiler

Compiled 26 to 17 computations (34.6% saved)

bsearch234.0ms (2.2%)

Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
narrow-enough
narrow-enough
narrow-enough
narrow-enough
Steps
TimeLeftRight
137.0ms
9.009952342075137e-23
5.4685379654659425e-11
19.0ms
-5.565818894637781e-110
-5.404639926693407e-117
23.0ms
-3.847052790394426e-20
-9.065793195860613e-34
19.0ms
-23878098128.148933
-31974.83437588393
15.0ms
-1.0358951392684145e+20
-3.72022977525578e+18
20.0ms
-2.101626285805001e+192
-8.047315854288063e+188
Results
218.0ms807×256valid
3.0ms25×256infinite
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 1870 to 1178 computations (37% saved)

bsearch42.0ms (0.4%)

Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
narrow-enough
Steps
TimeLeftRight
21.0ms
9.009952342075137e-23
5.4685379654659425e-11
21.0ms
-5.565818894637781e-110
-5.404639926693407e-117
0.0ms
-6.650646646666037e+101
-6.451276135678959e+101
Results
34.0ms273×256valid
2.0ms15×256infinite
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 670 to 434 computations (35.2% saved)

bsearch43.0ms (0.4%)

Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
narrow-enough
Steps
TimeLeftRight
22.0ms
9.009952342075137e-23
5.4685379654659425e-11
20.0ms
-5.565818894637781e-110
-5.404639926693407e-117
0.0ms
-6.650646646666037e+101
-6.451276135678959e+101
Results
35.0ms273×256valid
2.0ms15×256infinite
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 670 to 434 computations (35.2% saved)

bsearch98.0ms (0.9%)

Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
narrow-enough
Steps
TimeLeftRight
77.0ms
9.009952342075137e-23
5.4685379654659425e-11
20.0ms
-5.565818894637781e-110
-5.404639926693407e-117
0.0ms
-6.650646646666037e+101
-6.451276135678959e+101
Results
89.0ms269×256valid
2.0ms19×256infinite
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 670 to 444 computations (33.7% saved)

bsearch61.0ms (0.6%)

Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
narrow-enough
Steps
TimeLeftRight
21.0ms
9.009952342075137e-23
5.4685379654659425e-11
22.0ms
-5.565818894637781e-110
-5.404639926693407e-117
17.0ms
-5.194130766717273e+84
-3.6539902036920598e+81
Results
52.0ms404×256valid
1.0ms12×256infinite
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 858 to 564 computations (34.3% saved)

bsearch44.0ms (0.4%)

Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
narrow-enough
Steps
TimeLeftRight
24.0ms
9.009952342075137e-23
5.4685379654659425e-11
19.0ms
-5.565818894637781e-110
-5.404639926693407e-117
0.0ms
-6.650646646666037e+101
-6.451276135678959e+101
Results
35.0ms279×256valid
1.0ms256infinite
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
2.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
Compiler

Compiled 610 to 404 computations (33.8% saved)

bsearch64.0ms (0.6%)

Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
narrow-enough
narrow-enough
Steps
TimeLeftRight
22.0ms
1.1713215197729294e+139
1.5663920807440644e+145
22.0ms
9.009952342075137e-23
5.4685379654659425e-11
20.0ms
-5.565818894637781e-110
-5.404639926693407e-117
0.0ms
-6.650646646666037e+101
-6.451276135678959e+101
Results
53.0ms417×256valid
2.0ms15×256infinite
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
1.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
Compiler

Compiled 962 to 616 computations (36% saved)

bsearch37.0ms (0.3%)

Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
25.0ms
1277798.7988192982
1.8550705445339306e+30
12.0ms
-7.885030999155483e-87
-9.757926521833193e-88
Results
31.0ms248×256valid
1.0ms256infinite
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 446 to 312 computations (30% saved)

bsearch40.0ms (0.4%)

Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
25.0ms
1277798.7988192982
1.8550705445339306e+30
15.0ms
-7.885030999155483e-87
-9.757926521833193e-88
Results
32.0ms249×256valid
1.0ms256infinite
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 434 to 306 computations (29.5% saved)

bsearch41.0ms (0.4%)

Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
26.0ms
1277798.7988192982
1.8550705445339306e+30
14.0ms
-7.885030999155483e-87
-9.757926521833193e-88
Results
35.0ms251×256valid
1.0ms256infinite
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 298 to 221 computations (25.8% saved)

simplify51.0ms (0.5%)

Algorithm
egg-herbie
Rules
26×+-commutative
22×*-commutative
14×sub-neg
12×neg-mul-1
12×neg-sub0
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01392300
11702300
21802300
31912300
41992300
52032300
62042300
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))) 100000000000000005250476025520442024870446858110815915491585411551180245798890819578637137508044786404370444383288387817694252323536043057564479218478670698284838720092657580373783023379478809005936895323497079994508111903896764088007465274278014249457925878882005684283811566947219638686545940054016) (/.f64 (/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) (hypot.f64 c d)) (hypot.f64 c d)) (*.f64 (/.f64 1 d) (+.f64 b (/.f64 a (/.f64 d c)))))
(if (<=.f64 c -44999999999999999307876298309672481278325072980796137148455962308485019137134203348678705113334714057770399916020320911663263572978138932349866097102157588584218328701846428777906095100264448) (/.f64 (-.f64 (neg.f64 a) (/.f64 b (/.f64 c d))) (hypot.f64 c d)) (if (<=.f64 c -102000000000000000000) (*.f64 (/.f64 c (hypot.f64 c d)) (/.f64 a (hypot.f64 c d))) (if (<=.f64 c -1040000) (/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) (+.f64 (*.f64 c c) (*.f64 d d))) (if (<=.f64 c -4486144485774091/332306998946228968225951765070086144) (*.f64 (/.f64 1 d) (+.f64 b (/.f64 a (/.f64 d c)))) (if (<=.f64 c -3881737571769141/5545339388241629719156828368286167406872874150751633150340959161229242615611251246079948812208279156194782421922807143657948315648) (/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) (+.f64 (*.f64 c c) (*.f64 d d))) (if (<=.f64 c 7684599350631545/10384593717069655257060992658440192) (*.f64 (/.f64 1 d) (+.f64 b (/.f64 a (/.f64 d c)))) (/.f64 (+.f64 a (/.f64 b (/.f64 c d))) (hypot.f64 c d))))))))
(if (<=.f64 c -650000000000000016164885898021133943201838277127000010263006808410028083946511998169588404696318476288) (/.f64 (-.f64 (neg.f64 a) (/.f64 b (/.f64 c d))) (hypot.f64 c d)) (if (<=.f64 c -8123055744494575/338460656020607282663380637712778772392143197677711984273740183180495765112991409062496875745134225841966700556811959451779072) (/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) (+.f64 (*.f64 c c) (*.f64 d d))) (if (<=.f64 c 5387515050969975/633825300114114700748351602688) (*.f64 (/.f64 1 d) (+.f64 b (/.f64 a (/.f64 d c)))) (/.f64 (+.f64 a (/.f64 b (/.f64 c d))) (hypot.f64 c d)))))
(if (<=.f64 c -650000000000000016164885898021133943201838277127000010263006808410028083946511998169588404696318476288) (+.f64 (/.f64 a c) (/.f64 b (/.f64 (pow.f64 c 2) d))) (if (<=.f64 c -3384606560206073/1353842624082429130653522550851115089568572790710847937094960732721983060451965636249987502980536903367866802227247837807116288) (/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) (+.f64 (*.f64 c c) (*.f64 d d))) (if (<=.f64 c 2741532741306389/83076749736557242056487941267521536) (*.f64 (/.f64 1 d) (+.f64 b (/.f64 a (/.f64 d c)))) (/.f64 (+.f64 a (/.f64 b (/.f64 c d))) (hypot.f64 c d)))))
(if (<=.f64 c -650000000000000016164885898021133943201838277127000010263006808410028083946511998169588404696318476288) (+.f64 (/.f64 a c) (/.f64 b (/.f64 (pow.f64 c 2) d))) (if (<=.f64 c -5076909840309109/676921312041214565326761275425557544784286395355423968547480366360991530225982818124993751490268451683933401113623918903558144) (/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) (+.f64 (*.f64 c c) (*.f64 d d))) (if (<=.f64 c 870426590122533/38685626227668133590597632) (*.f64 (/.f64 1 d) (+.f64 b (/.f64 a (/.f64 d c)))) (+.f64 (/.f64 a c) (/.f64 b (/.f64 (pow.f64 c 2) d))))))
(if (<=.f64 c -22000000000000001216945524424248447864285846622074149668882632146082526386165121024) (/.f64 (neg.f64 a) (hypot.f64 c d)) (if (<=.f64 c -7107673776432753/169230328010303641331690318856389386196071598838855992136870091590247882556495704531248437872567112920983350278405979725889536) (/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) (+.f64 (*.f64 c c) (*.f64 d d))) (if (<=.f64 c 6189700196426901/154742504910672534362390528) (*.f64 (/.f64 1 d) (+.f64 b (/.f64 a (/.f64 d c)))) (/.f64 a (hypot.f64 c d)))))
(if (<=.f64 c -650000000000000016164885898021133943201838277127000010263006808410028083946511998169588404696318476288) (/.f64 a c) (if (<=.f64 c -7107673776432753/338460656020607282663380637712778772392143197677711984273740183180495765112991409062496875745134225841966700556811959451779072) (/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) (+.f64 (*.f64 c c) (*.f64 d d))) (if (<=.f64 c 4456584141427369/2475880078570760549798248448) (*.f64 (/.f64 1 d) (+.f64 b (/.f64 a (/.f64 d c)))) (/.f64 a (hypot.f64 c d)))))
(if (<=.f64 c -650000000000000016164885898021133943201838277127000010263006808410028083946511998169588404696318476288) (/.f64 a c) (if (<=.f64 c -4129220003451409/1353842624082429130653522550851115089568572790710847937094960732721983060451965636249987502980536903367866802227247837807116288) (/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) (+.f64 (*.f64 c c) (*.f64 d d))) (if (<=.f64 c 934613434536269/1298074214633706907132624082305024) (*.f64 (/.f64 1 d) (+.f64 b (/.f64 a (/.f64 d c)))) (if (<=.f64 c 1150000000000000078753266927581078125853813549345357919200250783982994653581831501888760569623189965748272977764318461466100909780791430479872) (/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) (+.f64 (*.f64 c c) (*.f64 d d))) (/.f64 a c)))))
(if (<=.f64 d -6943208700751193/1119872371088902105278721140284222139060822748617324767449994550481895935590080472690438746635803557888) (+.f64 (/.f64 b d) (/.f64 a (*.f64 (/.f64 d 1) (/.f64 d c)))) (if (<=.f64 d 1550000000000000000) (/.f64 a c) (*.f64 (/.f64 1 d) (+.f64 b (/.f64 a (/.f64 d c))))))
(if (<=.f64 d -6943208700751193/1119872371088902105278721140284222139060822748617324767449994550481895935590080472690438746635803557888) (*.f64 (/.f64 1 d) (+.f64 b (/.f64 a (/.f64 d c)))) (if (<=.f64 d 5199999999999999698010112) (/.f64 a c) (*.f64 (/.f64 1 d) (+.f64 b (/.f64 a (/.f64 d c))))))
(if (<=.f64 d -2183751123623359/279968092772225526319680285071055534765205687154331191862498637620473983897520118172609686658950889472) (/.f64 b d) (if (<=.f64 d 9399999999999999949668352) (/.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))) 100000000000000005250476025520442024870446858110815915491585411551180245798890819578637137508044786404370444383288387817694252323536043057564479218478670698284838720092657580373783023379478809005936895323497079994508111903896764088007465274278014249457925878882005684283811566947219638686545940054016) (/.f64 (/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) (hypot.f64 c d)) (hypot.f64 c d)) (*.f64 (/.f64 1 d) (+.f64 b (/.f64 a (/.f64 d c)))))
(if (<=.f64 c -44999999999999999307876298309672481278325072980796137148455962308485019137134203348678705113334714057770399916020320911663263572978138932349866097102157588584218328701846428777906095100264448) (/.f64 (-.f64 (neg.f64 a) (/.f64 b (/.f64 c d))) (hypot.f64 c d)) (if (<=.f64 c -102000000000000000000) (*.f64 (/.f64 c (hypot.f64 c d)) (/.f64 a (hypot.f64 c d))) (if (<=.f64 c -1040000) (/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) (+.f64 (*.f64 c c) (*.f64 d d))) (if (<=.f64 c -4486144485774091/332306998946228968225951765070086144) (*.f64 (/.f64 1 d) (+.f64 b (/.f64 a (/.f64 d c)))) (if (<=.f64 c -3881737571769141/5545339388241629719156828368286167406872874150751633150340959161229242615611251246079948812208279156194782421922807143657948315648) (/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) (+.f64 (*.f64 c c) (*.f64 d d))) (if (<=.f64 c 7684599350631545/10384593717069655257060992658440192) (*.f64 (/.f64 1 d) (+.f64 b (/.f64 a (/.f64 d c)))) (/.f64 (+.f64 a (/.f64 b (/.f64 c d))) (hypot.f64 c d))))))))
(if (<=.f64 c -650000000000000016164885898021133943201838277127000010263006808410028083946511998169588404696318476288) (/.f64 (-.f64 (neg.f64 a) (/.f64 b (/.f64 c d))) (hypot.f64 c d)) (if (<=.f64 c -8123055744494575/338460656020607282663380637712778772392143197677711984273740183180495765112991409062496875745134225841966700556811959451779072) (/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) (+.f64 (*.f64 c c) (*.f64 d d))) (if (<=.f64 c 5387515050969975/633825300114114700748351602688) (*.f64 (/.f64 1 d) (+.f64 b (/.f64 a (/.f64 d c)))) (/.f64 (+.f64 a (/.f64 b (/.f64 c d))) (hypot.f64 c d)))))
(if (<=.f64 c -650000000000000016164885898021133943201838277127000010263006808410028083946511998169588404696318476288) (+.f64 (/.f64 a c) (/.f64 b (/.f64 (pow.f64 c 2) d))) (if (<=.f64 c -3384606560206073/1353842624082429130653522550851115089568572790710847937094960732721983060451965636249987502980536903367866802227247837807116288) (/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) (+.f64 (*.f64 c c) (*.f64 d d))) (if (<=.f64 c 2741532741306389/83076749736557242056487941267521536) (*.f64 (/.f64 1 d) (+.f64 b (/.f64 a (/.f64 d c)))) (/.f64 (+.f64 a (/.f64 b (/.f64 c d))) (hypot.f64 c d)))))
(if (<=.f64 c -650000000000000016164885898021133943201838277127000010263006808410028083946511998169588404696318476288) (+.f64 (/.f64 a c) (/.f64 b (/.f64 (pow.f64 c 2) d))) (if (<=.f64 c -5076909840309109/676921312041214565326761275425557544784286395355423968547480366360991530225982818124993751490268451683933401113623918903558144) (/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) (+.f64 (*.f64 c c) (*.f64 d d))) (if (<=.f64 c 870426590122533/38685626227668133590597632) (*.f64 (/.f64 1 d) (+.f64 b (/.f64 a (/.f64 d c)))) (+.f64 (/.f64 a c) (/.f64 b (/.f64 (pow.f64 c 2) d))))))
(if (<=.f64 c -22000000000000001216945524424248447864285846622074149668882632146082526386165121024) (/.f64 (neg.f64 a) (hypot.f64 c d)) (if (<=.f64 c -7107673776432753/169230328010303641331690318856389386196071598838855992136870091590247882556495704531248437872567112920983350278405979725889536) (/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) (+.f64 (*.f64 c c) (*.f64 d d))) (if (<=.f64 c 6189700196426901/154742504910672534362390528) (*.f64 (/.f64 1 d) (+.f64 b (/.f64 a (/.f64 d c)))) (/.f64 a (hypot.f64 c d)))))
(if (<=.f64 c -650000000000000016164885898021133943201838277127000010263006808410028083946511998169588404696318476288) (/.f64 a c) (if (<=.f64 c -7107673776432753/338460656020607282663380637712778772392143197677711984273740183180495765112991409062496875745134225841966700556811959451779072) (/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) (+.f64 (*.f64 c c) (*.f64 d d))) (if (<=.f64 c 4456584141427369/2475880078570760549798248448) (*.f64 (/.f64 1 d) (+.f64 b (/.f64 a (/.f64 d c)))) (/.f64 a (hypot.f64 c d)))))
(if (<=.f64 c -650000000000000016164885898021133943201838277127000010263006808410028083946511998169588404696318476288) (/.f64 a c) (if (<=.f64 c -4129220003451409/1353842624082429130653522550851115089568572790710847937094960732721983060451965636249987502980536903367866802227247837807116288) (/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) (+.f64 (*.f64 c c) (*.f64 d d))) (if (<=.f64 c 934613434536269/1298074214633706907132624082305024) (*.f64 (/.f64 1 d) (+.f64 b (/.f64 a (/.f64 d c)))) (if (<=.f64 c 1150000000000000078753266927581078125853813549345357919200250783982994653581831501888760569623189965748272977764318461466100909780791430479872) (/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) (+.f64 (*.f64 c c) (*.f64 d d))) (/.f64 a c)))))
(if (<=.f64 d -6943208700751193/1119872371088902105278721140284222139060822748617324767449994550481895935590080472690438746635803557888) (+.f64 (/.f64 b d) (/.f64 a (*.f64 (/.f64 d 1) (/.f64 d c)))) (if (<=.f64 d 1550000000000000000) (/.f64 a c) (*.f64 (/.f64 1 d) (+.f64 b (/.f64 a (/.f64 d c))))))
(if (<=.f64 d -6943208700751193/1119872371088902105278721140284222139060822748617324767449994550481895935590080472690438746635803557888) (+.f64 (/.f64 b d) (/.f64 a (*.f64 d (/.f64 d c)))) (if (<=.f64 d 1550000000000000000) (/.f64 a c) (*.f64 (/.f64 1 d) (+.f64 b (/.f64 a (/.f64 d c))))))
(if (<=.f64 d -6943208700751193/1119872371088902105278721140284222139060822748617324767449994550481895935590080472690438746635803557888) (*.f64 (/.f64 1 d) (+.f64 b (/.f64 a (/.f64 d c)))) (if (<=.f64 d 5199999999999999698010112) (/.f64 a c) (*.f64 (/.f64 1 d) (+.f64 b (/.f64 a (/.f64 d c))))))
(if (or (<=.f64 d -6943208700751193/1119872371088902105278721140284222139060822748617324767449994550481895935590080472690438746635803557888) (not (<=.f64 d 5199999999999999698010112))) (*.f64 (/.f64 1 d) (+.f64 b (/.f64 a (/.f64 d c)))) (/.f64 a c))
(if (<=.f64 d -2183751123623359/279968092772225526319680285071055534765205687154331191862498637620473983897520118172609686658950889472) (/.f64 b d) (if (<=.f64 d 9399999999999999949668352) (/.f64 a c) (/.f64 b d)))
(if (or (<=.f64 d -2183751123623359/279968092772225526319680285071055534765205687154331191862498637620473983897520118172609686658950889472) (not (<=.f64 d 9399999999999999949668352))) (/.f64 b d) (/.f64 a c))
(/.f64 a c)
Compiler

Compiled 615 to 326 computations (47% saved)

soundness2.5s (23%)

Rules
1374×unswap-sqr
1374×unswap-sqr
1374×unswap-sqr
1298×fma-def
1298×fma-def
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01883
125478
2352078
037543
1671524
0116847422
1315644830
02928338
17268218
226918050
037543
1671524
0116847422
1315644830
02928338
17268218
226918050
0116847422
1315644830
078227632
1211325529
02928338
17268218
226918050
037543
1671524
Stop Event
node limit
node limit
node limit
node limit
node limit
node limit
node limit
node limit
node limit
node limit
node limit
Compiler

Compiled 546 to 206 computations (62.3% saved)

end1.0ms (0%)

preprocess253.0ms (2.3%)

Compiler

Compiled 1260 to 420 computations (66.7% saved)

Profiling

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