Complex division, real part

Time bar (total: 12.2s)

analyze24.0ms (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)

sample1.3s (10.3%)

Results
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Bogosity

preprocess333.0ms (2.7%)

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
1030-2(1.3643705866203468e-244 2.6330495826491175e-226 9.916111321194475e-179 -1.7864754242495514e-93)(/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) (+.f64 (*.f64 c c) (*.f64 d d)))
30-0-(+.f64 (*.f64 a c) (*.f64 b d))
00-0-b
00-0-(*.f64 b d)
00-0-c
00-0-(*.f64 a c)
00-0-d
00-0-(*.f64 c c)
00-0-(*.f64 d d)
00-0-(+.f64 (*.f64 c c) (*.f64 d d))
00-0-a
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
070976
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)

prune2.0ms (0%)

Alt Table
Click to see full alt table
StatusAccuracyProgram
61.7%
(/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) (+.f64 (*.f64 c c) (*.f64 d d)))
Compiler

Compiled 19 to 11 computations (42.1% saved)

localize46.0ms (0.4%)

Localize:

Found 3 expressions with local error:

NewAccuracyProgram
100.0%
(+.f64 (*.f64 c c) (*.f64 d d))
99.0%
(+.f64 (*.f64 a c) (*.f64 b d))
62.1%
(/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) (+.f64 (*.f64 c c) (*.f64 d d)))
Compiler

Compiled 50 to 12 computations (76% saved)

series13.0ms (0.1%)

Counts
3 → 84
Calls

30 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)))

rewrite235.0ms (1.9%)

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
018107
125497
2352097
Stop Event
node limit
Counts
3 → 153
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))
(+.f64 (*.f64 c c) (*.f64 d 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))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (hypot.f64 c d) 2))) 1)
(-.f64 (/.f64 (pow.f64 c 4) (-.f64 (pow.f64 c 2) (pow.f64 d 2))) (/.f64 (pow.f64 d 4) (-.f64 (pow.f64 c 2) (pow.f64 d 2))))
(*.f64 (pow.f64 (hypot.f64 c d) 2) 1)
(*.f64 1 (pow.f64 (hypot.f64 c d) 2))
(*.f64 (cbrt.f64 (pow.f64 (hypot.f64 c d) 2)) (pow.f64 (cbrt.f64 (pow.f64 (hypot.f64 c d) 2)) 2))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (hypot.f64 c d) 2)) 2) (cbrt.f64 (pow.f64 (hypot.f64 c d) 2)))
(*.f64 (hypot.f64 c d) (hypot.f64 c d))
(*.f64 (+.f64 (pow.f64 d 6) (pow.f64 c 6)) (/.f64 1 (-.f64 (+.f64 (pow.f64 c 4) (pow.f64 d 4)) (pow.f64 (*.f64 c d) 2))))
(*.f64 (-.f64 (pow.f64 c 4) (pow.f64 d 4)) (/.f64 1 (-.f64 (pow.f64 c 2) (pow.f64 d 2))))
(/.f64 1 (/.f64 (-.f64 (+.f64 (pow.f64 c 4) (pow.f64 d 4)) (pow.f64 (*.f64 c d) 2)) (+.f64 (pow.f64 d 6) (pow.f64 c 6))))
(/.f64 1 (/.f64 (-.f64 (pow.f64 c 2) (pow.f64 d 2)) (-.f64 (pow.f64 c 4) (pow.f64 d 4))))
(/.f64 (+.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 (pow.f64 d 6) (pow.f64 c 6)) (+.f64 (pow.f64 d 4) (-.f64 (pow.f64 c 4) (pow.f64 (*.f64 c d) 2))))
(/.f64 (-.f64 (pow.f64 c 4) (pow.f64 d 4)) (-.f64 (pow.f64 c 2) (pow.f64 d 2)))
(/.f64 (neg.f64 (+.f64 (pow.f64 d 6) (pow.f64 c 6))) (neg.f64 (-.f64 (+.f64 (pow.f64 c 4) (pow.f64 d 4)) (pow.f64 (*.f64 c d) 2))))
(/.f64 (neg.f64 (-.f64 (pow.f64 c 4) (pow.f64 d 4))) (neg.f64 (-.f64 (pow.f64 c 2) (pow.f64 d 2))))
(/.f64 (-.f64 (pow.f64 d 4) (pow.f64 c 4)) (-.f64 (pow.f64 d 2) (pow.f64 c 2)))
(pow.f64 (pow.f64 (hypot.f64 c d) 2) 1)
(pow.f64 (cbrt.f64 (pow.f64 (hypot.f64 c d) 2)) 3)
(pow.f64 (pow.f64 (pow.f64 (hypot.f64 c d) 2) 3) 1/3)
(pow.f64 (hypot.f64 c d) 2)
(sqrt.f64 (pow.f64 (pow.f64 (hypot.f64 c d) 2) 2))
(log.f64 (exp.f64 (pow.f64 (hypot.f64 c d) 2)))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (hypot.f64 c d) 2))))
(log.f64 (*.f64 (exp.f64 (pow.f64 c 2)) (+.f64 1 (expm1.f64 (pow.f64 d 2)))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (pow.f64 c 2))) (exp.f64 (pow.f64 d 2))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (pow.f64 c 2))) (+.f64 1 (expm1.f64 (pow.f64 d 2)))))
(log.f64 (*.f64 (exp.f64 (pow.f64 d 2)) (+.f64 1 (expm1.f64 (pow.f64 c 2)))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (pow.f64 d 2))) (exp.f64 (pow.f64 c 2))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (pow.f64 d 2))) (+.f64 1 (expm1.f64 (pow.f64 c 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))
(fma.f64 d d (pow.f64 c 2))
(fma.f64 (pow.f64 c 2) 1 (pow.f64 d 2))
(fma.f64 (pow.f64 d 2) 1 (pow.f64 c 2))
(fma.f64 1 (pow.f64 c 2) (pow.f64 d 2))
(fma.f64 1 (pow.f64 d 2) (pow.f64 c 2))
(fma.f64 (pow.f64 (cbrt.f64 d) 2) (cbrt.f64 (pow.f64 d 4)) (pow.f64 c 2))
(fma.f64 (pow.f64 (cbrt.f64 d) 2) (*.f64 (cbrt.f64 d) d) (pow.f64 c 2))
(fma.f64 (cbrt.f64 (pow.f64 d 4)) (pow.f64 (cbrt.f64 d) 2) (pow.f64 c 2))
(fma.f64 (pow.f64 (cbrt.f64 c) 2) (cbrt.f64 (pow.f64 c 4)) (pow.f64 d 2))
(fma.f64 (pow.f64 (cbrt.f64 c) 2) (*.f64 (cbrt.f64 c) c) (pow.f64 d 2))
(fma.f64 (cbrt.f64 (pow.f64 c 4)) (pow.f64 (cbrt.f64 c) 2) (pow.f64 d 2))
(fma.f64 (sqrt.f64 c) (*.f64 (sqrt.f64 c) c) (pow.f64 d 2))
(fma.f64 (sqrt.f64 d) (*.f64 (sqrt.f64 d) d) (pow.f64 c 2))
(fma.f64 (*.f64 d (sqrt.f64 d)) (sqrt.f64 d) (pow.f64 c 2))
(fma.f64 (*.f64 c (sqrt.f64 c)) (sqrt.f64 c) (pow.f64 d 2))
(fma.f64 (*.f64 c (pow.f64 (cbrt.f64 c) 2)) (cbrt.f64 c) (pow.f64 d 2))
(fma.f64 (*.f64 d (pow.f64 (cbrt.f64 d) 2)) (cbrt.f64 d) (pow.f64 c 2))

simplify128.0ms (1%)

Algorithm
egg-herbie
Rules
1706×fma-def
660×log-prod
652×cancel-sign-sub-inv
466×distribute-rgt-neg-in
456×distribute-lft-neg-in
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
038810457
194910361
2359710189
Stop Event
node limit
Counts
237 → 219
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)
(pow.f64 d 2)
(+.f64 (pow.f64 c 2) (pow.f64 d 2))
(+.f64 (pow.f64 c 2) (pow.f64 d 2))
(+.f64 (pow.f64 c 2) (pow.f64 d 2))
(pow.f64 c 2)
(+.f64 (pow.f64 c 2) (pow.f64 d 2))
(+.f64 (pow.f64 c 2) (pow.f64 d 2))
(+.f64 (pow.f64 c 2) (pow.f64 d 2))
(pow.f64 c 2)
(+.f64 (pow.f64 c 2) (pow.f64 d 2))
(+.f64 (pow.f64 c 2) (pow.f64 d 2))
(+.f64 (pow.f64 c 2) (pow.f64 d 2))
(pow.f64 c 2)
(+.f64 (pow.f64 c 2) (pow.f64 d 2))
(+.f64 (pow.f64 c 2) (pow.f64 d 2))
(+.f64 (pow.f64 c 2) (pow.f64 d 2))
(pow.f64 d 2)
(+.f64 (pow.f64 c 2) (pow.f64 d 2))
(+.f64 (pow.f64 c 2) (pow.f64 d 2))
(+.f64 (pow.f64 c 2) (pow.f64 d 2))
(pow.f64 d 2)
(+.f64 (pow.f64 c 2) (pow.f64 d 2))
(+.f64 (pow.f64 c 2) (pow.f64 d 2))
(+.f64 (pow.f64 c 2) (pow.f64 d 2))
(-.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))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (hypot.f64 c d) 2))) 1)
(-.f64 (/.f64 (pow.f64 c 4) (-.f64 (pow.f64 c 2) (pow.f64 d 2))) (/.f64 (pow.f64 d 4) (-.f64 (pow.f64 c 2) (pow.f64 d 2))))
(*.f64 (pow.f64 (hypot.f64 c d) 2) 1)
(*.f64 1 (pow.f64 (hypot.f64 c d) 2))
(*.f64 (cbrt.f64 (pow.f64 (hypot.f64 c d) 2)) (pow.f64 (cbrt.f64 (pow.f64 (hypot.f64 c d) 2)) 2))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (hypot.f64 c d) 2)) 2) (cbrt.f64 (pow.f64 (hypot.f64 c d) 2)))
(*.f64 (hypot.f64 c d) (hypot.f64 c d))
(*.f64 (+.f64 (pow.f64 d 6) (pow.f64 c 6)) (/.f64 1 (-.f64 (+.f64 (pow.f64 c 4) (pow.f64 d 4)) (pow.f64 (*.f64 c d) 2))))
(*.f64 (-.f64 (pow.f64 c 4) (pow.f64 d 4)) (/.f64 1 (-.f64 (pow.f64 c 2) (pow.f64 d 2))))
(/.f64 1 (/.f64 (-.f64 (+.f64 (pow.f64 c 4) (pow.f64 d 4)) (pow.f64 (*.f64 c d) 2)) (+.f64 (pow.f64 d 6) (pow.f64 c 6))))
(/.f64 1 (/.f64 (-.f64 (pow.f64 c 2) (pow.f64 d 2)) (-.f64 (pow.f64 c 4) (pow.f64 d 4))))
(/.f64 (+.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 (pow.f64 d 6) (pow.f64 c 6)) (+.f64 (pow.f64 d 4) (-.f64 (pow.f64 c 4) (pow.f64 (*.f64 c d) 2))))
(/.f64 (-.f64 (pow.f64 c 4) (pow.f64 d 4)) (-.f64 (pow.f64 c 2) (pow.f64 d 2)))
(/.f64 (neg.f64 (+.f64 (pow.f64 d 6) (pow.f64 c 6))) (neg.f64 (-.f64 (+.f64 (pow.f64 c 4) (pow.f64 d 4)) (pow.f64 (*.f64 c d) 2))))
(/.f64 (neg.f64 (-.f64 (pow.f64 c 4) (pow.f64 d 4))) (neg.f64 (-.f64 (pow.f64 c 2) (pow.f64 d 2))))
(/.f64 (-.f64 (pow.f64 d 4) (pow.f64 c 4)) (-.f64 (pow.f64 d 2) (pow.f64 c 2)))
(pow.f64 (pow.f64 (hypot.f64 c d) 2) 1)
(pow.f64 (cbrt.f64 (pow.f64 (hypot.f64 c d) 2)) 3)
(pow.f64 (pow.f64 (pow.f64 (hypot.f64 c d) 2) 3) 1/3)
(pow.f64 (hypot.f64 c d) 2)
(sqrt.f64 (pow.f64 (pow.f64 (hypot.f64 c d) 2) 2))
(log.f64 (exp.f64 (pow.f64 (hypot.f64 c d) 2)))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (hypot.f64 c d) 2))))
(log.f64 (*.f64 (exp.f64 (pow.f64 c 2)) (+.f64 1 (expm1.f64 (pow.f64 d 2)))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (pow.f64 c 2))) (exp.f64 (pow.f64 d 2))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (pow.f64 c 2))) (+.f64 1 (expm1.f64 (pow.f64 d 2)))))
(log.f64 (*.f64 (exp.f64 (pow.f64 d 2)) (+.f64 1 (expm1.f64 (pow.f64 c 2)))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (pow.f64 d 2))) (exp.f64 (pow.f64 c 2))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (pow.f64 d 2))) (+.f64 1 (expm1.f64 (pow.f64 c 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))
(fma.f64 d d (pow.f64 c 2))
(fma.f64 (pow.f64 c 2) 1 (pow.f64 d 2))
(fma.f64 (pow.f64 d 2) 1 (pow.f64 c 2))
(fma.f64 1 (pow.f64 c 2) (pow.f64 d 2))
(fma.f64 1 (pow.f64 d 2) (pow.f64 c 2))
(fma.f64 (pow.f64 (cbrt.f64 d) 2) (cbrt.f64 (pow.f64 d 4)) (pow.f64 c 2))
(fma.f64 (pow.f64 (cbrt.f64 d) 2) (*.f64 (cbrt.f64 d) d) (pow.f64 c 2))
(fma.f64 (cbrt.f64 (pow.f64 d 4)) (pow.f64 (cbrt.f64 d) 2) (pow.f64 c 2))
(fma.f64 (pow.f64 (cbrt.f64 c) 2) (cbrt.f64 (pow.f64 c 4)) (pow.f64 d 2))
(fma.f64 (pow.f64 (cbrt.f64 c) 2) (*.f64 (cbrt.f64 c) c) (pow.f64 d 2))
(fma.f64 (cbrt.f64 (pow.f64 c 4)) (pow.f64 (cbrt.f64 c) 2) (pow.f64 d 2))
(fma.f64 (sqrt.f64 c) (*.f64 (sqrt.f64 c) c) (pow.f64 d 2))
(fma.f64 (sqrt.f64 d) (*.f64 (sqrt.f64 d) d) (pow.f64 c 2))
(fma.f64 (*.f64 d (sqrt.f64 d)) (sqrt.f64 d) (pow.f64 c 2))
(fma.f64 (*.f64 c (sqrt.f64 c)) (sqrt.f64 c) (pow.f64 d 2))
(fma.f64 (*.f64 c (pow.f64 (cbrt.f64 c) 2)) (cbrt.f64 c) (pow.f64 d 2))
(fma.f64 (*.f64 d (pow.f64 (cbrt.f64 d) 2)) (cbrt.f64 d) (pow.f64 c 2))
Outputs
(/.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 b (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 d d (pow.f64 c 2)) d)) (/.f64 a (/.f64 (fma.f64 d d (pow.f64 c 2)) c)))
(+.f64 (*.f64 (/.f64 b (fma.f64 d d (pow.f64 c 2))) d) (/.f64 c (/.f64 (fma.f64 d d (pow.f64 c 2)) a)))
(fma.f64 (/.f64 b (fma.f64 d d (pow.f64 c 2))) d (/.f64 c (/.f64 (fma.f64 d d (pow.f64 c 2)) a)))
(+.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 d d (pow.f64 c 2)) d)) (/.f64 a (/.f64 (fma.f64 d d (pow.f64 c 2)) c)))
(+.f64 (*.f64 (/.f64 b (fma.f64 d d (pow.f64 c 2))) d) (/.f64 c (/.f64 (fma.f64 d d (pow.f64 c 2)) a)))
(fma.f64 (/.f64 b (fma.f64 d d (pow.f64 c 2))) d (/.f64 c (/.f64 (fma.f64 d d (pow.f64 c 2)) a)))
(+.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 d d (pow.f64 c 2)) d)) (/.f64 a (/.f64 (fma.f64 d d (pow.f64 c 2)) c)))
(+.f64 (*.f64 (/.f64 b (fma.f64 d d (pow.f64 c 2))) d) (/.f64 c (/.f64 (fma.f64 d d (pow.f64 c 2)) a)))
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(pow.f64 (cbrt.f64 (pow.f64 (hypot.f64 c d) 2)) 3)
(pow.f64 (hypot.f64 c d) 2)
(pow.f64 (pow.f64 (pow.f64 (hypot.f64 c d) 2) 3) 1/3)
(pow.f64 (hypot.f64 c d) 2)
(pow.f64 (hypot.f64 c d) 2)
(sqrt.f64 (pow.f64 (pow.f64 (hypot.f64 c d) 2) 2))
(pow.f64 (hypot.f64 c d) 2)
(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)
(log.f64 (*.f64 (exp.f64 (pow.f64 c 2)) (+.f64 1 (expm1.f64 (pow.f64 d 2)))))
(fma.f64 d d (pow.f64 c 2))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (pow.f64 c 2))) (exp.f64 (pow.f64 d 2))))
(fma.f64 d d (pow.f64 c 2))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (pow.f64 c 2))) (+.f64 1 (expm1.f64 (pow.f64 d 2)))))
(fma.f64 d d (pow.f64 c 2))
(log.f64 (*.f64 (exp.f64 (pow.f64 d 2)) (+.f64 1 (expm1.f64 (pow.f64 c 2)))))
(fma.f64 d d (pow.f64 c 2))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (pow.f64 d 2))) (exp.f64 (pow.f64 c 2))))
(fma.f64 d d (pow.f64 c 2))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (pow.f64 d 2))) (+.f64 1 (expm1.f64 (pow.f64 c 2)))))
(fma.f64 d d (pow.f64 c 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))
(fma.f64 d d (pow.f64 c 2))
(fma.f64 (pow.f64 c 2) 1 (pow.f64 d 2))
(fma.f64 d d (pow.f64 c 2))
(fma.f64 (pow.f64 d 2) 1 (pow.f64 c 2))
(fma.f64 d d (pow.f64 c 2))
(fma.f64 1 (pow.f64 c 2) (pow.f64 d 2))
(fma.f64 d d (pow.f64 c 2))
(fma.f64 1 (pow.f64 d 2) (pow.f64 c 2))
(fma.f64 d d (pow.f64 c 2))
(fma.f64 (pow.f64 (cbrt.f64 d) 2) (cbrt.f64 (pow.f64 d 4)) (pow.f64 c 2))
(fma.f64 (pow.f64 (cbrt.f64 d) 2) (*.f64 (cbrt.f64 d) d) (pow.f64 c 2))
(fma.f64 d d (pow.f64 c 2))
(fma.f64 (cbrt.f64 (pow.f64 d 4)) (pow.f64 (cbrt.f64 d) 2) (pow.f64 c 2))
(fma.f64 (pow.f64 (cbrt.f64 d) 2) (cbrt.f64 (pow.f64 d 4)) (pow.f64 c 2))
(fma.f64 (pow.f64 (cbrt.f64 c) 2) (cbrt.f64 (pow.f64 c 4)) (pow.f64 d 2))
(fma.f64 (pow.f64 (cbrt.f64 c) 2) (*.f64 (cbrt.f64 c) c) (pow.f64 d 2))
(fma.f64 d d (pow.f64 c 2))
(fma.f64 (cbrt.f64 (pow.f64 c 4)) (pow.f64 (cbrt.f64 c) 2) (pow.f64 d 2))
(fma.f64 (pow.f64 (cbrt.f64 c) 2) (cbrt.f64 (pow.f64 c 4)) (pow.f64 d 2))
(fma.f64 (sqrt.f64 c) (*.f64 (sqrt.f64 c) c) (pow.f64 d 2))
(fma.f64 d d (pow.f64 c 2))
(fma.f64 (sqrt.f64 d) (*.f64 (sqrt.f64 d) d) (pow.f64 c 2))
(fma.f64 d d (pow.f64 c 2))
(fma.f64 (*.f64 d (sqrt.f64 d)) (sqrt.f64 d) (pow.f64 c 2))
(fma.f64 d d (pow.f64 c 2))
(fma.f64 (*.f64 c (sqrt.f64 c)) (sqrt.f64 c) (pow.f64 d 2))
(fma.f64 d d (pow.f64 c 2))
(fma.f64 (*.f64 c (pow.f64 (cbrt.f64 c) 2)) (cbrt.f64 c) (pow.f64 d 2))
(fma.f64 d d (pow.f64 c 2))
(fma.f64 (*.f64 d (pow.f64 (cbrt.f64 d) 2)) (cbrt.f64 d) (pow.f64 c 2))
(fma.f64 d d (pow.f64 c 2))

eval58.0ms (0.5%)

Compiler

Compiled 4479 to 1704 computations (62% saved)

prune61.0ms (0.5%)

Pruning

16 alts after pruning (15 fresh and 1 done)

PrunedKeptTotal
New20415219
Fresh000
Picked011
Done000
Total20416220
Accuracy
97.0%
Counts
220 → 16
Alt Table
Click to see full alt table
StatusAccuracyProgram
40.7%
(pow.f64 (/.f64 (sqrt.f64 (fma.f64 a c (*.f64 b d))) (hypot.f64 c d)) 2)
61.7%
(/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) (pow.f64 (hypot.f64 c d) 2))
61.7%
(/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) (+.f64 (*.f64 c c) (*.f64 d d)))
39.2%
(/.f64 (*.f64 c a) (+.f64 (*.f64 c c) (*.f64 d d)))
38.5%
(/.f64 (*.f64 b d) (+.f64 (*.f64 c c) (*.f64 d d)))
41.0%
(/.f64 b (/.f64 (fma.f64 d d (pow.f64 c 2)) d))
40.0%
(/.f64 b d)
42.0%
(/.f64 a (/.f64 (fma.f64 d d (pow.f64 c 2)) c))
43.1%
(/.f64 a c)
47.0%
(+.f64 (/.f64 b d) (/.f64 a (/.f64 (pow.f64 d 2) c)))
45.5%
(+.f64 (/.f64 b d) (*.f64 (/.f64 a (pow.f64 d 2)) c))
50.0%
(+.f64 (/.f64 a c) (*.f64 (/.f64 b (pow.f64 c 2)) d))
61.3%
(*.f64 (fma.f64 a c (*.f64 b d)) (/.f64 1 (pow.f64 (hypot.f64 c d) 2)))
23.5%
(*.f64 (/.f64 (fma.f64 c a (*.f64 b d)) (-.f64 (pow.f64 c 4) (pow.f64 d 4))) (-.f64 (pow.f64 c 2) (pow.f64 d 2)))
74.1%
(*.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)))
74.9%
(*.f64 (/.f64 1 (hypot.f64 c d)) (/.f64 (fma.f64 a c (*.f64 b d)) (hypot.f64 c d)))
Compiler

Compiled 507 to 315 computations (37.9% saved)

localize146.0ms (1.2%)

Localize:

Found 12 expressions with local error:

NewAccuracyProgram
100.0%
(pow.f64 (hypot.f64 c d) 2)
99.0%
(+.f64 (*.f64 a c) (*.f64 b d))
62.1%
(/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) (pow.f64 (hypot.f64 c d) 2))
95.5%
(+.f64 (/.f64 b d) (/.f64 a (/.f64 (pow.f64 d 2) c)))
91.3%
(/.f64 a (/.f64 (pow.f64 d 2) c))
87.1%
(/.f64 (pow.f64 d 2) c)
100.0%
(+.f64 (*.f64 c c) (*.f64 d d))
74.1%
(/.f64 (*.f64 c a) (+.f64 (*.f64 c c) (*.f64 d d)))
100.0%
(/.f64 1 (hypot.f64 c d))
99.6%
(fma.f64 a c (*.f64 b d))
99.6%
(*.f64 (/.f64 1 (hypot.f64 c d)) (/.f64 (fma.f64 a c (*.f64 b d)) (hypot.f64 c d)))
75.9%
(/.f64 (fma.f64 a c (*.f64 b d)) (hypot.f64 c d))
Compiler

Compiled 161 to 45 computations (72% saved)

series45.0ms (0.4%)

Counts
10 → 360
Calls

96 calls:

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

rewrite247.0ms (2%)

Algorithm
batch-egg-rewrite
Rules
816×expm1-udef
382×associate-*r*
288×times-frac
286×frac-times
258×associate-*l*
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
034342
1568338
27763338
Stop Event
node limit
Counts
10 → 433
Calls
Call 1
Inputs
(/.f64 (fma.f64 a c (*.f64 b d)) (hypot.f64 c d))
(*.f64 (/.f64 1 (hypot.f64 c d)) (/.f64 (fma.f64 a c (*.f64 b d)) (hypot.f64 c d)))
(fma.f64 a c (*.f64 b 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 (*.f64 a c) (*.f64 b d)) (pow.f64 (hypot.f64 c d) 2))
(pow.f64 (hypot.f64 c d) 2)
Outputs
(+.f64 (*.f64 (/.f64 1 (hypot.f64 c d)) (*.f64 b d)) (*.f64 (/.f64 1 (hypot.f64 c d)) (*.f64 a c)))
(+.f64 (*.f64 (/.f64 1 (hypot.f64 c d)) (*.f64 a c)) (*.f64 (/.f64 1 (hypot.f64 c d)) (*.f64 b d)))
(+.f64 (*.f64 (*.f64 b d) (/.f64 1 (hypot.f64 c d))) (*.f64 (*.f64 a c) (/.f64 1 (hypot.f64 c d))))
(+.f64 (*.f64 (*.f64 a c) (/.f64 1 (hypot.f64 c d))) (*.f64 (*.f64 b d) (/.f64 1 (hypot.f64 c d))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (fma.f64 b d (*.f64 a c)) (hypot.f64 c d)))) 1)
(*.f64 1 (/.f64 (fma.f64 b d (*.f64 a c)) (hypot.f64 c d)))
(*.f64 (/.f64 1 (hypot.f64 c d)) (fma.f64 b d (*.f64 a c)))
(*.f64 (fma.f64 b d (*.f64 a c)) (/.f64 1 (hypot.f64 c d)))
(*.f64 (/.f64 (fma.f64 b d (*.f64 a c)) (hypot.f64 c d)) 1)
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 b d (*.f64 a c))) 2) (*.f64 (cbrt.f64 (fma.f64 b d (*.f64 a c))) (/.f64 1 (hypot.f64 c d))))
(*.f64 (cbrt.f64 (/.f64 (fma.f64 b d (*.f64 a c)) (hypot.f64 c d))) (pow.f64 (cbrt.f64 (/.f64 (fma.f64 b d (*.f64 a c)) (hypot.f64 c d))) 2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (fma.f64 b d (*.f64 a c)) (hypot.f64 c d))) 2) (cbrt.f64 (/.f64 (fma.f64 b d (*.f64 a c)) (hypot.f64 c d))))
(*.f64 (cbrt.f64 (pow.f64 (hypot.f64 c d) -2)) (*.f64 (/.f64 1 (cbrt.f64 (hypot.f64 c d))) (fma.f64 b d (*.f64 a c))))
(*.f64 (sqrt.f64 (fma.f64 b d (*.f64 a c))) (/.f64 (sqrt.f64 (fma.f64 b d (*.f64 a c))) (hypot.f64 c d)))
(*.f64 (sqrt.f64 (/.f64 (fma.f64 b d (*.f64 a c)) (hypot.f64 c d))) (sqrt.f64 (/.f64 (fma.f64 b d (*.f64 a c)) (hypot.f64 c d))))
(*.f64 (pow.f64 (hypot.f64 c d) -1/2) (/.f64 (fma.f64 b d (*.f64 a c)) (sqrt.f64 (hypot.f64 c d))))
(*.f64 (pow.f64 (hypot.f64 c d) -1/2) (*.f64 (pow.f64 (hypot.f64 c d) -1/2) (fma.f64 b d (*.f64 a c))))
(*.f64 (neg.f64 (fma.f64 b d (*.f64 a c))) (/.f64 1 (neg.f64 (hypot.f64 c d))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (hypot.f64 c d)) 2)) (/.f64 (fma.f64 b d (*.f64 a c)) (cbrt.f64 (hypot.f64 c d))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 b d (*.f64 a c))) 2) 1) (/.f64 (cbrt.f64 (fma.f64 b d (*.f64 a c))) (hypot.f64 c d)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 b d (*.f64 a c))) 2) (pow.f64 (cbrt.f64 (hypot.f64 c d)) 2)) (cbrt.f64 (/.f64 (fma.f64 b d (*.f64 a c)) (hypot.f64 c d))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 b d (*.f64 a c))) 2) (sqrt.f64 (hypot.f64 c d))) (/.f64 (cbrt.f64 (fma.f64 b d (*.f64 a c))) (sqrt.f64 (hypot.f64 c d))))
(*.f64 (/.f64 (sqrt.f64 (fma.f64 b d (*.f64 a c))) 1) (/.f64 (sqrt.f64 (fma.f64 b d (*.f64 a c))) (hypot.f64 c d)))
(*.f64 (/.f64 (sqrt.f64 (fma.f64 b d (*.f64 a c))) (pow.f64 (cbrt.f64 (hypot.f64 c d)) 2)) (/.f64 (sqrt.f64 (fma.f64 b d (*.f64 a c))) (cbrt.f64 (hypot.f64 c d))))
(*.f64 (*.f64 (pow.f64 (hypot.f64 c d) -1/2) (sqrt.f64 (fma.f64 b d (*.f64 a c)))) (*.f64 (pow.f64 (hypot.f64 c d) -1/2) (sqrt.f64 (fma.f64 b d (*.f64 a c)))))
(*.f64 (*.f64 (fma.f64 b d (*.f64 a c)) (cbrt.f64 (pow.f64 (hypot.f64 c d) -2))) (/.f64 1 (cbrt.f64 (hypot.f64 c d))))
(*.f64 (*.f64 (fma.f64 b d (*.f64 a c)) (pow.f64 (hypot.f64 c d) -1/2)) (pow.f64 (hypot.f64 c d) -1/2))
(*.f64 (*.f64 (/.f64 1 (hypot.f64 c d)) (pow.f64 (cbrt.f64 (fma.f64 b d (*.f64 a c))) 2)) (cbrt.f64 (fma.f64 b d (*.f64 a c))))
(*.f64 (*.f64 (/.f64 1 (hypot.f64 c d)) (sqrt.f64 (fma.f64 b d (*.f64 a c)))) (sqrt.f64 (fma.f64 b d (*.f64 a c))))
(pow.f64 (/.f64 (fma.f64 b d (*.f64 a c)) (hypot.f64 c d)) 1)
(pow.f64 (cbrt.f64 (/.f64 (fma.f64 b d (*.f64 a c)) (hypot.f64 c d))) 3)
(pow.f64 (pow.f64 (/.f64 (fma.f64 b d (*.f64 a c)) (hypot.f64 c d)) 3) 1/3)
(pow.f64 (sqrt.f64 (/.f64 (fma.f64 b d (*.f64 a c)) (hypot.f64 c d))) 2)
(pow.f64 (/.f64 (hypot.f64 c d) (fma.f64 b d (*.f64 a c))) -1)
(neg.f64 (/.f64 (fma.f64 b d (*.f64 a c)) (neg.f64 (hypot.f64 c d))))
(sqrt.f64 (pow.f64 (/.f64 (fma.f64 b d (*.f64 a c)) (hypot.f64 c d)) 2))
(log.f64 (exp.f64 (/.f64 (fma.f64 b d (*.f64 a c)) (hypot.f64 c d))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (fma.f64 b d (*.f64 a c)) (hypot.f64 c d)))))
(cbrt.f64 (pow.f64 (/.f64 (fma.f64 b d (*.f64 a c)) (hypot.f64 c d)) 3))
(cbrt.f64 (*.f64 (pow.f64 (fma.f64 b d (*.f64 a c)) 3) (pow.f64 (/.f64 1 (hypot.f64 c d)) 3)))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 1 (hypot.f64 c d)) 3) (pow.f64 (fma.f64 b d (*.f64 a c)) 3)))
(cbrt.f64 (/.f64 (pow.f64 (fma.f64 b d (*.f64 a c)) 3) (pow.f64 (hypot.f64 c d) 3)))
(expm1.f64 (log1p.f64 (/.f64 (fma.f64 b d (*.f64 a c)) (hypot.f64 c d))))
(exp.f64 (log.f64 (/.f64 (fma.f64 b d (*.f64 a c)) (hypot.f64 c d))))
(exp.f64 (*.f64 (log.f64 (/.f64 (fma.f64 b d (*.f64 a c)) (hypot.f64 c d))) 1))
(exp.f64 (+.f64 (neg.f64 (log.f64 (hypot.f64 c d))) (log.f64 (fma.f64 b d (*.f64 a c)))))
(log1p.f64 (expm1.f64 (/.f64 (fma.f64 b d (*.f64 a c)) (hypot.f64 c d))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (fma.f64 b d (*.f64 a c)) (pow.f64 (hypot.f64 c d) -2)))) 1)
(/.f64 1 (/.f64 (pow.f64 (hypot.f64 c d) 2) (fma.f64 b d (*.f64 a c))))
(/.f64 1 (*.f64 (/.f64 (hypot.f64 c d) (fma.f64 b d (*.f64 a c))) (hypot.f64 c d)))
(/.f64 1 (/.f64 (/.f64 (pow.f64 (hypot.f64 c d) 2) (fma.f64 b d (*.f64 a c))) 1))
(/.f64 (/.f64 1 (hypot.f64 c d)) (/.f64 (hypot.f64 c d) (fma.f64 b d (*.f64 a c))))
(/.f64 (fma.f64 b d (*.f64 a c)) (pow.f64 (hypot.f64 c d) 2))
(/.f64 (fma.f64 b d (*.f64 a c)) (/.f64 (hypot.f64 c d) (/.f64 1 (hypot.f64 c d))))
(/.f64 -1 (*.f64 (neg.f64 (hypot.f64 c d)) (/.f64 (hypot.f64 c d) (fma.f64 b d (*.f64 a c)))))
(/.f64 -1 (*.f64 (/.f64 (hypot.f64 c d) (fma.f64 b d (*.f64 a c))) (neg.f64 (hypot.f64 c d))))
(/.f64 -1 (neg.f64 (/.f64 (pow.f64 (hypot.f64 c d) 2) (fma.f64 b d (*.f64 a c)))))
(/.f64 (/.f64 (fma.f64 b d (*.f64 a c)) (hypot.f64 c d)) (hypot.f64 c d))
(/.f64 (pow.f64 (cbrt.f64 (fma.f64 b d (*.f64 a c))) 2) (/.f64 (pow.f64 (hypot.f64 c d) 2) (cbrt.f64 (fma.f64 b d (*.f64 a c)))))
(/.f64 (pow.f64 (cbrt.f64 (/.f64 (fma.f64 b d (*.f64 a c)) (hypot.f64 c d))) 2) (/.f64 (hypot.f64 c d) (cbrt.f64 (/.f64 (fma.f64 b d (*.f64 a c)) (hypot.f64 c d)))))
(/.f64 (sqrt.f64 (fma.f64 b d (*.f64 a c))) (/.f64 (pow.f64 (hypot.f64 c d) 2) (sqrt.f64 (fma.f64 b d (*.f64 a c)))))
(/.f64 (sqrt.f64 (/.f64 (fma.f64 b d (*.f64 a c)) (hypot.f64 c d))) (/.f64 (hypot.f64 c d) (sqrt.f64 (/.f64 (fma.f64 b d (*.f64 a c)) (hypot.f64 c d)))))
(/.f64 (neg.f64 (fma.f64 b d (*.f64 a c))) (neg.f64 (pow.f64 (hypot.f64 c d) 2)))
(/.f64 (+.f64 (pow.f64 (*.f64 b d) 3) (pow.f64 (*.f64 a c) 3)) (*.f64 (pow.f64 (hypot.f64 c d) 2) (+.f64 (pow.f64 (*.f64 a c) 2) (*.f64 (*.f64 b d) (-.f64 (*.f64 b d) (*.f64 a c))))))
(/.f64 (-.f64 (pow.f64 (*.f64 a c) 2) (pow.f64 (*.f64 b d) 2)) (*.f64 (pow.f64 (hypot.f64 c d) 2) (-.f64 (*.f64 a c) (*.f64 b d))))
(/.f64 (*.f64 (neg.f64 (fma.f64 b d (*.f64 a c))) 1) (neg.f64 (pow.f64 (hypot.f64 c d) 2)))
(/.f64 (*.f64 (+.f64 (pow.f64 (*.f64 b d) 3) (pow.f64 (*.f64 a c) 3)) 1) (*.f64 (+.f64 (pow.f64 (*.f64 a c) 2) (*.f64 (*.f64 b d) (-.f64 (*.f64 b d) (*.f64 a c)))) (pow.f64 (hypot.f64 c d) 2)))
(/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 a c) 2) (pow.f64 (*.f64 b d) 2)) 1) (*.f64 (-.f64 (*.f64 a c) (*.f64 b d)) (pow.f64 (hypot.f64 c d) 2)))
(/.f64 (*.f64 -1 (neg.f64 (fma.f64 b d (*.f64 a c)))) (*.f64 (neg.f64 (hypot.f64 c d)) (neg.f64 (hypot.f64 c d))))
(/.f64 (*.f64 (fma.f64 b d (*.f64 a c)) -1) (neg.f64 (pow.f64 (hypot.f64 c d) 2)))
(/.f64 (*.f64 (neg.f64 (fma.f64 b d (*.f64 a c))) -1) (*.f64 (neg.f64 (hypot.f64 c d)) (neg.f64 (hypot.f64 c d))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 b d (*.f64 a c)))) (neg.f64 (neg.f64 (pow.f64 (hypot.f64 c d) 2))))
(/.f64 (neg.f64 (/.f64 (fma.f64 b d (*.f64 a c)) (hypot.f64 c d))) (neg.f64 (hypot.f64 c d)))
(/.f64 (/.f64 (/.f64 (fma.f64 b d (*.f64 a c)) (hypot.f64 c d)) (sqrt.f64 (hypot.f64 c d))) (sqrt.f64 (hypot.f64 c d)))
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(pow.f64 (pow.f64 (*.f64 (fma.f64 b d (*.f64 a c)) (pow.f64 (hypot.f64 c d) -2)) 3) 1/3)
(pow.f64 (/.f64 (sqrt.f64 (fma.f64 b d (*.f64 a c))) (hypot.f64 c d)) 2)
(pow.f64 (/.f64 (pow.f64 (hypot.f64 c d) 2) (fma.f64 b d (*.f64 a c))) -1)
(neg.f64 (/.f64 (fma.f64 b d (*.f64 a c)) (neg.f64 (pow.f64 (hypot.f64 c d) 2))))
(sqrt.f64 (/.f64 (pow.f64 (fma.f64 b d (*.f64 a c)) 2) (pow.f64 (hypot.f64 c d) 4)))
(log.f64 (pow.f64 (exp.f64 (fma.f64 b d (*.f64 a c))) (pow.f64 (hypot.f64 c d) -2)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (fma.f64 b d (*.f64 a c)) (pow.f64 (hypot.f64 c d) -2)))))
(cbrt.f64 (pow.f64 (*.f64 (fma.f64 b d (*.f64 a c)) (pow.f64 (hypot.f64 c d) -2)) 3))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 1 (hypot.f64 c d)) 3) (pow.f64 (/.f64 (fma.f64 b d (*.f64 a c)) (hypot.f64 c d)) 3)))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 (fma.f64 b d (*.f64 a c)) (hypot.f64 c d)) 3) (pow.f64 (/.f64 1 (hypot.f64 c d)) 3)))
(cbrt.f64 (/.f64 (pow.f64 (fma.f64 b d (*.f64 a c)) 3) (pow.f64 (pow.f64 (hypot.f64 c d) 2) 3)))
(cbrt.f64 (/.f64 (pow.f64 (/.f64 (fma.f64 b d (*.f64 a c)) (hypot.f64 c d)) 3) (pow.f64 (hypot.f64 c d) 3)))
(expm1.f64 (log1p.f64 (*.f64 (fma.f64 b d (*.f64 a c)) (pow.f64 (hypot.f64 c d) -2))))
(exp.f64 (log.f64 (*.f64 (fma.f64 b d (*.f64 a c)) (pow.f64 (hypot.f64 c d) -2))))
(exp.f64 (*.f64 (log.f64 (*.f64 (fma.f64 b d (*.f64 a c)) (pow.f64 (hypot.f64 c d) -2))) 1))
(log1p.f64 (expm1.f64 (*.f64 (fma.f64 b d (*.f64 a c)) (pow.f64 (hypot.f64 c d) -2))))
(+.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 (/.f64 (pow.f64 c 4) (-.f64 (pow.f64 c 2) (pow.f64 d 2))) (/.f64 (pow.f64 d 4) (-.f64 (pow.f64 c 2) (pow.f64 d 2))))
(*.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 (pow.f64 d 6) (pow.f64 c 6)) (/.f64 1 (-.f64 (+.f64 (pow.f64 c 4) (pow.f64 d 4)) (pow.f64 (*.f64 c d) 2))))
(*.f64 (-.f64 (pow.f64 c 4) (pow.f64 d 4)) (/.f64 1 (-.f64 (pow.f64 c 2) (pow.f64 d 2))))
(*.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 1 (/.f64 (-.f64 (+.f64 (pow.f64 c 4) (pow.f64 d 4)) (pow.f64 (*.f64 c d) 2)) (+.f64 (pow.f64 d 6) (pow.f64 c 6))))
(/.f64 1 (/.f64 (-.f64 (pow.f64 c 2) (pow.f64 d 2)) (-.f64 (pow.f64 c 4) (pow.f64 d 4))))
(/.f64 (+.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 (pow.f64 d 6) (pow.f64 c 6)) (+.f64 (pow.f64 d 4) (-.f64 (pow.f64 c 4) (pow.f64 (*.f64 c d) 2))))
(/.f64 (-.f64 (pow.f64 c 4) (pow.f64 d 4)) (-.f64 (pow.f64 c 2) (pow.f64 d 2)))
(/.f64 (neg.f64 (+.f64 (pow.f64 d 6) (pow.f64 c 6))) (neg.f64 (-.f64 (+.f64 (pow.f64 c 4) (pow.f64 d 4)) (pow.f64 (*.f64 c d) 2))))
(/.f64 (neg.f64 (-.f64 (pow.f64 c 4) (pow.f64 d 4))) (neg.f64 (-.f64 (pow.f64 c 2) (pow.f64 d 2))))
(/.f64 (-.f64 (pow.f64 d 4) (pow.f64 c 4)) (-.f64 (pow.f64 d 2) (pow.f64 c 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 (*.f64 2 (log.f64 (hypot.f64 c d))))
(exp.f64 (*.f64 (*.f64 2 (log.f64 (hypot.f64 c d))) 1))
(log1p.f64 (expm1.f64 (pow.f64 (hypot.f64 c d) 2)))
(fma.f64 c c (pow.f64 d 2))
(fma.f64 d d (pow.f64 c 2))
(fma.f64 1 (pow.f64 c 2) (pow.f64 d 2))
(fma.f64 1 (pow.f64 d 2) (pow.f64 c 2))
(fma.f64 (cbrt.f64 (pow.f64 d 4)) (pow.f64 (cbrt.f64 d) 2) (pow.f64 c 2))
(fma.f64 (cbrt.f64 (pow.f64 c 4)) (pow.f64 (cbrt.f64 c) 2) (pow.f64 d 2))

simplify299.0ms (2.5%)

Algorithm
egg-herbie
Rules
988×fma-def
848×associate-*r/
534×*-commutative
452×distribute-rgt-in
422×unswap-sqr
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0115341918
1307940701
Stop Event
node limit
Counts
793 → 709
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 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))))
(+.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 (*.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))))
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(+.f64 (pow.f64 d 2) (pow.f64 c 2))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (hypot.f64 c d) 2))) 1)
(-.f64 (/.f64 (pow.f64 c 4) (-.f64 (pow.f64 c 2) (pow.f64 d 2))) (/.f64 (pow.f64 d 4) (-.f64 (pow.f64 c 2) (pow.f64 d 2))))
(*.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 (pow.f64 d 6) (pow.f64 c 6)) (/.f64 1 (-.f64 (+.f64 (pow.f64 c 4) (pow.f64 d 4)) (pow.f64 (*.f64 c d) 2))))
(*.f64 (-.f64 (pow.f64 c 4) (pow.f64 d 4)) (/.f64 1 (-.f64 (pow.f64 c 2) (pow.f64 d 2))))
(*.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 1 (/.f64 (-.f64 (+.f64 (pow.f64 c 4) (pow.f64 d 4)) (pow.f64 (*.f64 c d) 2)) (+.f64 (pow.f64 d 6) (pow.f64 c 6))))
(/.f64 1 (/.f64 (-.f64 (pow.f64 c 2) (pow.f64 d 2)) (-.f64 (pow.f64 c 4) (pow.f64 d 4))))
(/.f64 (+.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 (pow.f64 d 6) (pow.f64 c 6)) (+.f64 (pow.f64 d 4) (-.f64 (pow.f64 c 4) (pow.f64 (*.f64 c d) 2))))
(/.f64 (-.f64 (pow.f64 c 4) (pow.f64 d 4)) (-.f64 (pow.f64 c 2) (pow.f64 d 2)))
(/.f64 (neg.f64 (+.f64 (pow.f64 d 6) (pow.f64 c 6))) (neg.f64 (-.f64 (+.f64 (pow.f64 c 4) (pow.f64 d 4)) (pow.f64 (*.f64 c d) 2))))
(/.f64 (neg.f64 (-.f64 (pow.f64 c 4) (pow.f64 d 4))) (neg.f64 (-.f64 (pow.f64 c 2) (pow.f64 d 2))))
(/.f64 (-.f64 (pow.f64 d 4) (pow.f64 c 4)) (-.f64 (pow.f64 d 2) (pow.f64 c 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 (*.f64 2 (log.f64 (hypot.f64 c d))))
(exp.f64 (*.f64 (*.f64 2 (log.f64 (hypot.f64 c d))) 1))
(log1p.f64 (expm1.f64 (pow.f64 (hypot.f64 c d) 2)))
(fma.f64 c c (pow.f64 d 2))
(fma.f64 d d (pow.f64 c 2))
(fma.f64 1 (pow.f64 c 2) (pow.f64 d 2))
(fma.f64 1 (pow.f64 d 2) (pow.f64 c 2))
(fma.f64 (cbrt.f64 (pow.f64 d 4)) (pow.f64 (cbrt.f64 d) 2) (pow.f64 c 2))
(fma.f64 (cbrt.f64 (pow.f64 c 4)) (pow.f64 (cbrt.f64 c) 2) (pow.f64 d 2))
Outputs
(*.f64 (*.f64 b d) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 c 2) (pow.f64 d 2)))))
(*.f64 (*.f64 b d) (sqrt.f64 (/.f64 1 (fma.f64 c c (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 (fma.f64 c c (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 (fma.f64 c c (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 (fma.f64 c c (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 (fma.f64 c c (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 (fma.f64 c c (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 (fma.f64 c c (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 (fma.f64 c c (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 (fma.f64 c c (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 (fma.f64 c c (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 (fma.f64 c c (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 (fma.f64 c c (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 b (/.f64 (pow.f64 c 3) (pow.f64 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 (/.f64 (neg.f64 b) (/.f64 c d)) 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 b (/.f64 (pow.f64 c 3) (pow.f64 d 3)))))))
(-.f64 (-.f64 (*.f64 1/2 (+.f64 (/.f64 a (/.f64 (pow.f64 c 2) (pow.f64 d 2))) (/.f64 b (/.f64 (pow.f64 c 3) (pow.f64 d 3))))) (/.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 (fma.f64 c c (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 (fma.f64 c c (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 (fma.f64 c c (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 (fma.f64 c c (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 (*.f64 b d) (sqrt.f64 (/.f64 1 (fma.f64 c c (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 (fma.f64 c c (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 (fma.f64 c c (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 (fma.f64 c c (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 (*.f64 b d) (sqrt.f64 (/.f64 1 (fma.f64 c c (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 (fma.f64 c c (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 (fma.f64 c c (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 (fma.f64 c c (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 b (/.f64 (pow.f64 c 3) (pow.f64 d 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)))
(*.f64 -1 (+.f64 b (/.f64 a (/.f64 d c))))
(-.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 b d) (/.f64 (*.f64 a c) (pow.f64 d 2)))
(fma.f64 a (/.f64 c (pow.f64 d 2)) (/.f64 b d))
(fma.f64 c (/.f64 a (pow.f64 d 2)) (/.f64 b d))
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(pow.f64 (hypot.f64 c d) 2)
(/.f64 1 (/.f64 (-.f64 (+.f64 (pow.f64 c 4) (pow.f64 d 4)) (pow.f64 (*.f64 c d) 2)) (+.f64 (pow.f64 d 6) (pow.f64 c 6))))
(*.f64 (+.f64 (pow.f64 c 6) (pow.f64 d 6)) (/.f64 1 (+.f64 (pow.f64 c 4) (-.f64 (pow.f64 d 4) (pow.f64 (*.f64 d c) 2)))))
(/.f64 (+.f64 (pow.f64 c 6) (pow.f64 d 6)) (+.f64 (pow.f64 d 4) (-.f64 (pow.f64 c 4) (pow.f64 (*.f64 d c) 2))))
(/.f64 1 (/.f64 (-.f64 (pow.f64 c 2) (pow.f64 d 2)) (-.f64 (pow.f64 c 4) (pow.f64 d 4))))
(/.f64 (-.f64 (pow.f64 c 4) (pow.f64 d 4)) (-.f64 (pow.f64 c 2) (pow.f64 d 2)))
(/.f64 (+.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 (pow.f64 c 6) (pow.f64 d 6)) (/.f64 1 (+.f64 (pow.f64 c 4) (-.f64 (pow.f64 d 4) (pow.f64 (*.f64 d c) 2)))))
(/.f64 (+.f64 (pow.f64 c 6) (pow.f64 d 6)) (+.f64 (pow.f64 d 4) (-.f64 (pow.f64 c 4) (pow.f64 (*.f64 d c) 2))))
(/.f64 (+.f64 (pow.f64 d 6) (pow.f64 c 6)) (+.f64 (pow.f64 d 4) (-.f64 (pow.f64 c 4) (pow.f64 (*.f64 c d) 2))))
(*.f64 (+.f64 (pow.f64 c 6) (pow.f64 d 6)) (/.f64 1 (+.f64 (pow.f64 c 4) (-.f64 (pow.f64 d 4) (pow.f64 (*.f64 d c) 2)))))
(/.f64 (+.f64 (pow.f64 c 6) (pow.f64 d 6)) (+.f64 (pow.f64 d 4) (-.f64 (pow.f64 c 4) (pow.f64 (*.f64 d c) 2))))
(/.f64 (-.f64 (pow.f64 c 4) (pow.f64 d 4)) (-.f64 (pow.f64 c 2) (pow.f64 d 2)))
(/.f64 (neg.f64 (+.f64 (pow.f64 d 6) (pow.f64 c 6))) (neg.f64 (-.f64 (+.f64 (pow.f64 c 4) (pow.f64 d 4)) (pow.f64 (*.f64 c d) 2))))
(/.f64 (neg.f64 (+.f64 (pow.f64 c 6) (pow.f64 d 6))) (neg.f64 (+.f64 (pow.f64 c 4) (-.f64 (pow.f64 d 4) (pow.f64 (*.f64 d c) 2)))))
(/.f64 (-.f64 (neg.f64 (pow.f64 d 6)) (pow.f64 c 6)) (-.f64 (neg.f64 (pow.f64 d 4)) (-.f64 (pow.f64 c 4) (pow.f64 (*.f64 d c) 2))))
(/.f64 (neg.f64 (-.f64 (pow.f64 c 4) (pow.f64 d 4))) (neg.f64 (-.f64 (pow.f64 c 2) (pow.f64 d 2))))
(/.f64 (+.f64 (neg.f64 (pow.f64 c 4)) (pow.f64 d 4)) (+.f64 (neg.f64 (pow.f64 c 2)) (pow.f64 d 2)))
(/.f64 (-.f64 (pow.f64 d 4) (pow.f64 c 4)) (-.f64 (pow.f64 d 2) (pow.f64 c 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 (*.f64 2 (log.f64 (hypot.f64 c d))))
(pow.f64 (hypot.f64 c d) 2)
(exp.f64 (*.f64 (*.f64 2 (log.f64 (hypot.f64 c d))) 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))
(fma.f64 d d (pow.f64 c 2))
(fma.f64 c c (pow.f64 d 2))
(fma.f64 1 (pow.f64 c 2) (pow.f64 d 2))
(fma.f64 c c (pow.f64 d 2))
(fma.f64 d d (pow.f64 c 2))
(fma.f64 1 (pow.f64 d 2) (pow.f64 c 2))
(fma.f64 c c (pow.f64 d 2))
(fma.f64 d d (pow.f64 c 2))
(fma.f64 (cbrt.f64 (pow.f64 d 4)) (pow.f64 (cbrt.f64 d) 2) (pow.f64 c 2))
(fma.f64 (cbrt.f64 (pow.f64 c 4)) (pow.f64 (cbrt.f64 c) 2) (pow.f64 d 2))

eval284.0ms (2.3%)

Compiler

Compiled 18280 to 8257 computations (54.8% saved)

prune187.0ms (1.5%)

Pruning

28 alts after pruning (25 fresh and 3 done)

PrunedKeptTotal
New82721848
Fresh6410
Picked325
Done011
Total83628864
Accuracy
100.0%
Counts
864 → 28
Alt Table
Click to see full alt table
StatusAccuracyProgram
25.7%
(pow.f64 (/.f64 (sqrt.f64 (*.f64 c a)) (hypot.f64 c d)) 2)
75.1%
(/.f64 (/.f64 (fma.f64 b d (*.f64 a c)) (hypot.f64 c d)) (hypot.f64 c d))
61.7%
(/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) (+.f64 (*.f64 c c) (*.f64 d d)))
39.2%
(/.f64 (*.f64 c a) (+.f64 (*.f64 c c) (*.f64 d d)))
38.5%
(/.f64 (*.f64 b d) (pow.f64 (hypot.f64 c d) 2))
38.5%
(/.f64 (*.f64 b d) (+.f64 (*.f64 c c) (*.f64 d d)))
40.0%
(/.f64 b d)
42.0%
(/.f64 a (/.f64 (fma.f64 d d (pow.f64 c 2)) c))
43.1%
(/.f64 a c)
74.4%
(/.f64 1 (*.f64 (/.f64 (hypot.f64 c d) (fma.f64 b d (*.f64 a c))) (hypot.f64 c d)))
48.5%
(+.f64 (/.f64 b d) (/.f64 a (*.f64 (/.f64 d 1) (/.f64 d c))))
45.4%
(+.f64 (/.f64 b d) (*.f64 (/.f64 1 (pow.f64 d 2)) (/.f64 a (/.f64 1 c))))
50.0%
(+.f64 (/.f64 a c) (*.f64 (/.f64 b (pow.f64 c 2)) d))
74.1%
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 b d (*.f64 a c))) 2) (hypot.f64 c d)) (/.f64 (cbrt.f64 (fma.f64 b d (*.f64 a c))) (hypot.f64 c d)))
57.3%
(*.f64 (/.f64 c (hypot.f64 c d)) (/.f64 a (hypot.f64 c d)))
45.5%
(*.f64 (/.f64 1 (hypot.f64 c d)) (/.f64 (*.f64 b d) (hypot.f64 c d)))
34.5%
(*.f64 (/.f64 1 (hypot.f64 c d)) (-.f64 (/.f64 (neg.f64 b) (/.f64 c d)) a))
31.4%
(*.f64 (/.f64 1 (hypot.f64 c d)) (-.f64 (/.f64 (neg.f64 a) (/.f64 d c)) b))
28.7%
(*.f64 (/.f64 1 (hypot.f64 c d)) (+.f64 b (/.f64 (*.f64 a c) d)))
29.5%
(*.f64 (/.f64 1 (hypot.f64 c d)) (+.f64 b (/.f64 a (/.f64 d c))))
31.2%
(*.f64 (/.f64 1 (hypot.f64 c d)) (+.f64 a (/.f64 (*.f64 b d) c)))
32.4%
(*.f64 (/.f64 1 (hypot.f64 c d)) (+.f64 a (/.f64 b (/.f64 c d))))
28.6%
(*.f64 (/.f64 1 (hypot.f64 c d)) (neg.f64 b))
31.2%
(*.f64 (/.f64 1 (hypot.f64 c d)) (neg.f64 a))
27.6%
(*.f64 (/.f64 1 (hypot.f64 c d)) b)
29.5%
(*.f64 (/.f64 1 (hypot.f64 c d)) a)
18.7%
(*.f64 c (/.f64 a (pow.f64 d 2)))
19.1%
(*.f64 a (/.f64 c (pow.f64 d 2)))
Compiler

Compiled 811 to 517 computations (36.3% saved)

localize140.0ms (1.2%)

Localize:

Found 12 expressions with local error:

NewAccuracyProgram
100.0%
(fma.f64 d d (pow.f64 c 2))
94.2%
(/.f64 a (/.f64 (fma.f64 d d (pow.f64 c 2)) c))
70.9%
(/.f64 (fma.f64 d d (pow.f64 c 2)) c)
100.0%
(/.f64 1 (hypot.f64 c d))
100.0%
(+.f64 b (/.f64 a (/.f64 d c)))
91.1%
(*.f64 (/.f64 1 (hypot.f64 c d)) (+.f64 b (/.f64 a (/.f64 d c))))
91.0%
(/.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 b d (*.f64 a c)) (hypot.f64 c d)) (hypot.f64 c d))
99.2%
(fma.f64 b d (*.f64 a c))
75.9%
(/.f64 (fma.f64 b d (*.f64 a c)) (hypot.f64 c d))
Compiler

Compiled 141 to 41 computations (70.9% saved)

series43.0ms (0.4%)

Counts
10 → 396
Calls

99 calls:

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

rewrite223.0ms (1.8%)

Algorithm
batch-egg-rewrite
Rules
764×expm1-udef
764×log1p-udef
378×associate-*r*
298×times-frac
246×associate-*l*
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
029358
1455323
26881323
Stop Event
node limit
Counts
10 → 358
Calls
Call 1
Inputs
(/.f64 (fma.f64 b d (*.f64 a c)) (hypot.f64 c d))
(fma.f64 b d (*.f64 a c))
(/.f64 (/.f64 (fma.f64 b d (*.f64 a c)) (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 (fma.f64 d d (pow.f64 c 2)) c)
(/.f64 a (/.f64 (fma.f64 d d (pow.f64 c 2)) c))
(fma.f64 d d (pow.f64 c 2))
Outputs
(-.f64 (exp.f64 (log1p.f64 (/.f64 (fma.f64 b d (*.f64 a c)) (hypot.f64 d c)))) 1)
(*.f64 (fma.f64 b d (*.f64 a c)) (/.f64 1 (hypot.f64 d c)))
(*.f64 (/.f64 (fma.f64 b d (*.f64 a c)) (hypot.f64 d c)) 1)
(*.f64 1 (/.f64 (fma.f64 b d (*.f64 a c)) (hypot.f64 d c)))
(*.f64 (/.f64 1 (hypot.f64 d c)) (fma.f64 b d (*.f64 a c)))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 b d (*.f64 a c))) 2) (*.f64 (cbrt.f64 (fma.f64 b d (*.f64 a c))) (/.f64 1 (hypot.f64 d c))))
(*.f64 (cbrt.f64 (/.f64 (fma.f64 b d (*.f64 a c)) (hypot.f64 d c))) (pow.f64 (cbrt.f64 (/.f64 (fma.f64 b d (*.f64 a c)) (hypot.f64 d c))) 2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (fma.f64 b d (*.f64 a c)) (hypot.f64 d c))) 2) (cbrt.f64 (/.f64 (fma.f64 b d (*.f64 a c)) (hypot.f64 d c))))
(*.f64 (sqrt.f64 (fma.f64 b d (*.f64 a c))) (*.f64 (sqrt.f64 (fma.f64 b d (*.f64 a c))) (/.f64 1 (hypot.f64 d c))))
(*.f64 (pow.f64 (hypot.f64 d c) -1/2) (/.f64 (fma.f64 b d (*.f64 a c)) (sqrt.f64 (hypot.f64 d c))))
(*.f64 (sqrt.f64 (/.f64 (fma.f64 b d (*.f64 a c)) (hypot.f64 d c))) (sqrt.f64 (/.f64 (fma.f64 b d (*.f64 a c)) (hypot.f64 d c))))
(*.f64 (neg.f64 (fma.f64 b d (*.f64 a c))) (/.f64 1 (neg.f64 (hypot.f64 d c))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (hypot.f64 d c)) 2)) (/.f64 (fma.f64 b d (*.f64 a c)) (cbrt.f64 (hypot.f64 d c))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 b d (*.f64 a c))) 2) 1) (/.f64 (cbrt.f64 (fma.f64 b d (*.f64 a c))) (hypot.f64 d c)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 b d (*.f64 a c))) 2) (pow.f64 (cbrt.f64 (hypot.f64 d c)) 2)) (cbrt.f64 (/.f64 (fma.f64 b d (*.f64 a c)) (hypot.f64 d c))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 b d (*.f64 a c))) 2) (sqrt.f64 (hypot.f64 d c))) (/.f64 (cbrt.f64 (fma.f64 b d (*.f64 a c))) (sqrt.f64 (hypot.f64 d c))))
(*.f64 (/.f64 (sqrt.f64 (fma.f64 b d (*.f64 a c))) 1) (/.f64 (sqrt.f64 (fma.f64 b d (*.f64 a c))) (hypot.f64 d c)))
(*.f64 (/.f64 (sqrt.f64 (fma.f64 b d (*.f64 a c))) (pow.f64 (cbrt.f64 (hypot.f64 d c)) 2)) (/.f64 (sqrt.f64 (fma.f64 b d (*.f64 a c))) (cbrt.f64 (hypot.f64 d c))))
(*.f64 (*.f64 (fma.f64 b d (*.f64 a c)) (cbrt.f64 (pow.f64 (hypot.f64 d c) -2))) (/.f64 1 (cbrt.f64 (hypot.f64 d c))))
(*.f64 (*.f64 (fma.f64 b d (*.f64 a c)) (pow.f64 (hypot.f64 d c) -1/2)) (pow.f64 (hypot.f64 d c) -1/2))
(pow.f64 (/.f64 (fma.f64 b d (*.f64 a c)) (hypot.f64 d c)) 1)
(pow.f64 (cbrt.f64 (/.f64 (fma.f64 b d (*.f64 a c)) (hypot.f64 d c))) 3)
(pow.f64 (pow.f64 (/.f64 (fma.f64 b d (*.f64 a c)) (hypot.f64 d c)) 3) 1/3)
(pow.f64 (sqrt.f64 (/.f64 (fma.f64 b d (*.f64 a c)) (hypot.f64 d c))) 2)
(pow.f64 (/.f64 (hypot.f64 d c) (fma.f64 b d (*.f64 a c))) -1)
(neg.f64 (/.f64 (fma.f64 b d (*.f64 a c)) (neg.f64 (hypot.f64 d c))))
(sqrt.f64 (pow.f64 (/.f64 (fma.f64 b d (*.f64 a c)) (hypot.f64 d c)) 2))
(log.f64 (exp.f64 (/.f64 (fma.f64 b d (*.f64 a c)) (hypot.f64 d c))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (fma.f64 b d (*.f64 a c)) (hypot.f64 d c)))))
(cbrt.f64 (pow.f64 (/.f64 (fma.f64 b d (*.f64 a c)) (hypot.f64 d c)) 3))
(cbrt.f64 (*.f64 (pow.f64 (fma.f64 b d (*.f64 a c)) 3) (pow.f64 (/.f64 1 (hypot.f64 d c)) 3)))
(cbrt.f64 (/.f64 (pow.f64 (fma.f64 b d (*.f64 a c)) 3) (pow.f64 (hypot.f64 d c) 3)))
(expm1.f64 (log1p.f64 (/.f64 (fma.f64 b d (*.f64 a c)) (hypot.f64 d c))))
(exp.f64 (log.f64 (/.f64 (fma.f64 b d (*.f64 a c)) (hypot.f64 d c))))
(exp.f64 (*.f64 (log.f64 (/.f64 (fma.f64 b d (*.f64 a c)) (hypot.f64 d c))) 1))
(log1p.f64 (expm1.f64 (/.f64 (fma.f64 b d (*.f64 a c)) (hypot.f64 d c))))
(+.f64 (*.f64 a c) (*.f64 b d))
(+.f64 (*.f64 b d) (*.f64 a c))
(+.f64 (*.f64 (*.f64 b d) 1) (*.f64 a c))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 b d (*.f64 a c)))) 1)
(*.f64 (fma.f64 b d (*.f64 a c)) 1)
(*.f64 1 (fma.f64 b d (*.f64 a c)))
(*.f64 (cbrt.f64 (fma.f64 b d (*.f64 a c))) (pow.f64 (cbrt.f64 (fma.f64 b d (*.f64 a c))) 2))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 b d (*.f64 a c))) 2) (cbrt.f64 (fma.f64 b d (*.f64 a c))))
(*.f64 (sqrt.f64 (fma.f64 b d (*.f64 a c))) (sqrt.f64 (fma.f64 b d (*.f64 a c))))
(/.f64 (+.f64 (pow.f64 (*.f64 b d) 3) (pow.f64 (*.f64 a c) 3)) (+.f64 (*.f64 (*.f64 b d) (*.f64 b d)) (-.f64 (pow.f64 (*.f64 a c) 2) (*.f64 (*.f64 b d) (*.f64 a c)))))
(/.f64 (-.f64 (*.f64 (*.f64 b d) (*.f64 b d)) (pow.f64 (*.f64 a c) 2)) (-.f64 (*.f64 b d) (*.f64 a c)))
(pow.f64 (fma.f64 b d (*.f64 a c)) 1)
(pow.f64 (cbrt.f64 (fma.f64 b d (*.f64 a c))) 3)
(pow.f64 (pow.f64 (fma.f64 b d (*.f64 a c)) 3) 1/3)
(pow.f64 (sqrt.f64 (fma.f64 b d (*.f64 a c))) 2)
(sqrt.f64 (pow.f64 (fma.f64 b d (*.f64 a c)) 2))
(log.f64 (exp.f64 (fma.f64 b d (*.f64 a c))))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 b d (*.f64 a c)))))
(cbrt.f64 (pow.f64 (fma.f64 b d (*.f64 a c)) 3))
(expm1.f64 (log1p.f64 (fma.f64 b d (*.f64 a c))))
(exp.f64 (log.f64 (fma.f64 b d (*.f64 a c))))
(exp.f64 (*.f64 (log.f64 (fma.f64 b d (*.f64 a c))) 1))
(log1p.f64 (expm1.f64 (fma.f64 b d (*.f64 a c))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (fma.f64 b d (*.f64 a c)) (pow.f64 (hypot.f64 d c) -2)))) 1)
(*.f64 (fma.f64 b d (*.f64 a c)) (pow.f64 (hypot.f64 d c) -2))
(*.f64 (/.f64 (fma.f64 b d (*.f64 a c)) (hypot.f64 d c)) (/.f64 1 (hypot.f64 d c)))
(*.f64 (*.f64 (fma.f64 b d (*.f64 a c)) (pow.f64 (hypot.f64 d c) -2)) 1)
(*.f64 1 (*.f64 (fma.f64 b d (*.f64 a c)) (pow.f64 (hypot.f64 d c) -2)))
(*.f64 (/.f64 1 (hypot.f64 d c)) (/.f64 (fma.f64 b d (*.f64 a c)) (hypot.f64 d c)))
(*.f64 (cbrt.f64 (*.f64 (fma.f64 b d (*.f64 a c)) (pow.f64 (hypot.f64 d c) -2))) (pow.f64 (cbrt.f64 (*.f64 (fma.f64 b d (*.f64 a c)) (pow.f64 (hypot.f64 d c) -2))) 2))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 (fma.f64 b d (*.f64 a c)) (pow.f64 (hypot.f64 d c) -2))) 2) (cbrt.f64 (*.f64 (fma.f64 b d (*.f64 a c)) (pow.f64 (hypot.f64 d c) -2))))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (fma.f64 b d (*.f64 a c)) (hypot.f64 d c))) 2) (*.f64 (cbrt.f64 (/.f64 (fma.f64 b d (*.f64 a c)) (hypot.f64 d c))) (/.f64 1 (hypot.f64 d c))))
(*.f64 (/.f64 (sqrt.f64 (fma.f64 b d (*.f64 a c))) (hypot.f64 d c)) (/.f64 (sqrt.f64 (fma.f64 b d (*.f64 a c))) (hypot.f64 d c)))
(*.f64 (pow.f64 (hypot.f64 d c) -1/2) (/.f64 (/.f64 (fma.f64 b d (*.f64 a c)) (hypot.f64 d c)) (sqrt.f64 (hypot.f64 d c))))
(*.f64 (sqrt.f64 (/.f64 (fma.f64 b d (*.f64 a c)) (hypot.f64 d c))) (*.f64 (sqrt.f64 (/.f64 (fma.f64 b d (*.f64 a c)) (hypot.f64 d c))) (/.f64 1 (hypot.f64 d c))))
(*.f64 (/.f64 (neg.f64 (fma.f64 b d (*.f64 a c))) (hypot.f64 d c)) (/.f64 1 (neg.f64 (hypot.f64 d c))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (hypot.f64 d c)) 2)) (/.f64 (/.f64 (fma.f64 b d (*.f64 a c)) (hypot.f64 d c)) (cbrt.f64 (hypot.f64 d c))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 b d (*.f64 a c))) 2) (hypot.f64 d c)) (/.f64 (cbrt.f64 (fma.f64 b d (*.f64 a c))) (hypot.f64 d c)))
(*.f64 (/.f64 (fma.f64 b d (*.f64 a c)) 1) (pow.f64 (hypot.f64 d c) -2))
(*.f64 (/.f64 (fma.f64 b d (*.f64 a c)) (pow.f64 (cbrt.f64 (hypot.f64 d c)) 2)) (/.f64 (/.f64 1 (hypot.f64 d c)) (cbrt.f64 (hypot.f64 d c))))
(*.f64 (/.f64 (fma.f64 b d (*.f64 a c)) (sqrt.f64 (hypot.f64 d c))) (/.f64 (/.f64 1 (hypot.f64 d c)) (sqrt.f64 (hypot.f64 d c))))
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(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 (pow.f64 (cbrt.f64 (*.f64 a (/.f64 c d))) 2) (cbrt.f64 (*.f64 a (/.f64 c d))) b)
(fma.f64 (cbrt.f64 (pow.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 (pow.f64 (hypot.f64 d c) 2) c))) 1)
(*.f64 (hypot.f64 d c) (/.f64 (hypot.f64 d c) c))
(*.f64 (hypot.f64 d c) (*.f64 (hypot.f64 d c) (/.f64 1 c)))
(*.f64 1 (/.f64 (pow.f64 (hypot.f64 d c) 2) c))
(*.f64 (pow.f64 (hypot.f64 d c) 2) (/.f64 1 c))
(*.f64 (/.f64 (pow.f64 (hypot.f64 d c) 2) c) 1)
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (hypot.f64 d c)) 2) 2) (*.f64 (pow.f64 (cbrt.f64 (hypot.f64 d c)) 2) (/.f64 1 c)))
(*.f64 (cbrt.f64 (/.f64 (pow.f64 (hypot.f64 d c) 2) c)) (pow.f64 (cbrt.f64 (/.f64 (pow.f64 (hypot.f64 d c) 2) c)) 2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (pow.f64 (hypot.f64 d c) 2) c)) 2) (cbrt.f64 (/.f64 (pow.f64 (hypot.f64 d c) 2) c)))
(*.f64 (/.f64 (hypot.f64 d c) (sqrt.f64 c)) (/.f64 (hypot.f64 d c) (sqrt.f64 c)))
(*.f64 (neg.f64 (pow.f64 (hypot.f64 d c) 2)) (/.f64 1 (neg.f64 c)))
(*.f64 (/.f64 1 c) (pow.f64 (hypot.f64 d c) 2))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 c) 2)) (/.f64 (pow.f64 (hypot.f64 d c) 2) (cbrt.f64 c)))
(*.f64 (/.f64 1 (sqrt.f64 c)) (/.f64 (pow.f64 (hypot.f64 d c) 2) (sqrt.f64 c)))
(*.f64 (/.f64 (pow.f64 (pow.f64 (cbrt.f64 (hypot.f64 d c)) 2) 2) 1) (/.f64 (pow.f64 (cbrt.f64 (hypot.f64 d c)) 2) c))
(*.f64 (/.f64 (pow.f64 (pow.f64 (cbrt.f64 (hypot.f64 d c)) 2) 2) (pow.f64 (cbrt.f64 c) 2)) (cbrt.f64 (/.f64 (pow.f64 (hypot.f64 d c) 2) c)))
(*.f64 (/.f64 (pow.f64 (pow.f64 (cbrt.f64 (hypot.f64 d c)) 2) 2) (sqrt.f64 c)) (/.f64 (pow.f64 (cbrt.f64 (hypot.f64 d c)) 2) (sqrt.f64 c)))
(*.f64 (/.f64 (hypot.f64 d c) (pow.f64 (cbrt.f64 c) 2)) (/.f64 (hypot.f64 d c) (cbrt.f64 c)))
(pow.f64 (/.f64 (pow.f64 (hypot.f64 d c) 2) c) 1)
(pow.f64 (cbrt.f64 (/.f64 (pow.f64 (hypot.f64 d c) 2) c)) 3)
(pow.f64 (pow.f64 (/.f64 (pow.f64 (hypot.f64 d c) 2) c) 3) 1/3)
(pow.f64 (/.f64 (hypot.f64 d c) (sqrt.f64 c)) 2)
(pow.f64 (*.f64 c (pow.f64 (hypot.f64 d c) -2)) -1)
(neg.f64 (/.f64 (pow.f64 (hypot.f64 d c) 2) (neg.f64 c)))
(sqrt.f64 (pow.f64 (/.f64 (pow.f64 (hypot.f64 d c) 2) c) 2))
(log.f64 (exp.f64 (/.f64 (pow.f64 (hypot.f64 d c) 2) c)))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (pow.f64 (hypot.f64 d c) 2) c))))
(cbrt.f64 (pow.f64 (/.f64 (pow.f64 (hypot.f64 d c) 2) c) 3))
(cbrt.f64 (/.f64 (pow.f64 (pow.f64 (hypot.f64 d c) 2) 3) (pow.f64 c 3)))
(expm1.f64 (log1p.f64 (/.f64 (pow.f64 (hypot.f64 d c) 2) c)))
(exp.f64 (log.f64 (/.f64 (pow.f64 (hypot.f64 d c) 2) c)))
(exp.f64 (*.f64 (log.f64 (/.f64 (pow.f64 (hypot.f64 d c) 2) c)) 1))
(log1p.f64 (expm1.f64 (/.f64 (pow.f64 (hypot.f64 d c) 2) c)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (*.f64 a c) (pow.f64 (hypot.f64 d c) 2)))) 1)
(*.f64 a (*.f64 c (pow.f64 (hypot.f64 d c) -2)))
(*.f64 c (*.f64 a (pow.f64 (hypot.f64 d c) -2)))
(*.f64 1 (/.f64 (*.f64 a c) (pow.f64 (hypot.f64 d c) 2)))
(*.f64 (/.f64 (*.f64 a c) (pow.f64 (hypot.f64 d c) 2)) 1)
(*.f64 (cbrt.f64 (/.f64 (*.f64 a c) (pow.f64 (hypot.f64 d c) 2))) (pow.f64 (cbrt.f64 (/.f64 (*.f64 a c) (pow.f64 (hypot.f64 d c) 2))) 2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (*.f64 a c) (pow.f64 (hypot.f64 d c) 2))) 2) (cbrt.f64 (/.f64 (*.f64 a c) (pow.f64 (hypot.f64 d c) 2))))
(*.f64 (pow.f64 (cbrt.f64 a) 2) (*.f64 (cbrt.f64 a) (*.f64 c (pow.f64 (hypot.f64 d c) -2))))
(*.f64 (pow.f64 (hypot.f64 d c) -2) (/.f64 a (/.f64 1 c)))
(*.f64 (/.f64 (sqrt.f64 a) (/.f64 (hypot.f64 d c) (sqrt.f64 c))) (/.f64 (sqrt.f64 a) (/.f64 (hypot.f64 d c) (sqrt.f64 c))))
(*.f64 (sqrt.f64 a) (*.f64 (sqrt.f64 a) (*.f64 c (pow.f64 (hypot.f64 d c) -2))))
(*.f64 (neg.f64 a) (/.f64 1 (/.f64 (neg.f64 (pow.f64 (hypot.f64 d c) 2)) c)))
(*.f64 (*.f64 c (pow.f64 (hypot.f64 d c) -2)) a)
(*.f64 (*.f64 a (pow.f64 (hypot.f64 d c) -2)) c)
(*.f64 (/.f64 (pow.f64 (cbrt.f64 a) 2) 1) (/.f64 (cbrt.f64 a) (/.f64 (pow.f64 (hypot.f64 d c) 2) c)))
(*.f64 (/.f64 (sqrt.f64 a) 1) (/.f64 (sqrt.f64 a) (/.f64 (pow.f64 (hypot.f64 d c) 2) c)))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (/.f64 (pow.f64 (hypot.f64 d c) 2) c)) 2)) (/.f64 a (cbrt.f64 (/.f64 (pow.f64 (hypot.f64 d c) 2) c))))
(*.f64 (/.f64 1 (/.f64 (hypot.f64 d c) (sqrt.f64 c))) (/.f64 a (/.f64 (hypot.f64 d c) (sqrt.f64 c))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 a) 2) (pow.f64 (hypot.f64 d c) 2)) (/.f64 (cbrt.f64 a) (/.f64 1 c)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 a) 2) (pow.f64 (cbrt.f64 (/.f64 (pow.f64 (hypot.f64 d c) 2) c)) 2)) (cbrt.f64 (/.f64 (*.f64 a c) (pow.f64 (hypot.f64 d c) 2))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 a) 2) (/.f64 (hypot.f64 d c) (sqrt.f64 c))) (/.f64 (cbrt.f64 a) (/.f64 (hypot.f64 d c) (sqrt.f64 c))))
(*.f64 (/.f64 (sqrt.f64 a) (pow.f64 (hypot.f64 d c) 2)) (/.f64 (sqrt.f64 a) (/.f64 1 c)))
(*.f64 (/.f64 (sqrt.f64 a) (pow.f64 (cbrt.f64 (/.f64 (pow.f64 (hypot.f64 d c) 2) c)) 2)) (/.f64 (sqrt.f64 a) (cbrt.f64 (/.f64 (pow.f64 (hypot.f64 d c) 2) c))))
(*.f64 (*.f64 (*.f64 a (pow.f64 (hypot.f64 d c) -2)) 1) c)
(*.f64 (*.f64 (*.f64 a (pow.f64 (hypot.f64 d c) -2)) (pow.f64 (cbrt.f64 c) 2)) (cbrt.f64 c))
(*.f64 (*.f64 (*.f64 a (pow.f64 (hypot.f64 d c) -2)) (sqrt.f64 c)) (sqrt.f64 c))
(*.f64 (/.f64 a 1) (*.f64 c (pow.f64 (hypot.f64 d c) -2)))
(*.f64 (/.f64 a (neg.f64 (pow.f64 (hypot.f64 d c) 2))) (neg.f64 c))
(pow.f64 (/.f64 (*.f64 a c) (pow.f64 (hypot.f64 d c) 2)) 1)
(pow.f64 (cbrt.f64 (/.f64 (*.f64 a c) (pow.f64 (hypot.f64 d c) 2))) 3)
(pow.f64 (pow.f64 (/.f64 (*.f64 a c) (pow.f64 (hypot.f64 d c) 2)) 3) 1/3)
(pow.f64 (/.f64 (sqrt.f64 a) (/.f64 (hypot.f64 d c) (sqrt.f64 c))) 2)
(pow.f64 (/.f64 (pow.f64 (hypot.f64 d c) 2) (*.f64 a c)) -1)
(neg.f64 (/.f64 a (/.f64 (neg.f64 (pow.f64 (hypot.f64 d c) 2)) c)))
(sqrt.f64 (pow.f64 (/.f64 (*.f64 a c) (pow.f64 (hypot.f64 d c) 2)) 2))
(log.f64 (pow.f64 (exp.f64 a) (*.f64 c (pow.f64 (hypot.f64 d c) -2))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (*.f64 a c) (pow.f64 (hypot.f64 d c) 2)))))
(cbrt.f64 (pow.f64 (/.f64 (*.f64 a c) (pow.f64 (hypot.f64 d c) 2)) 3))
(cbrt.f64 (/.f64 (pow.f64 a 3) (pow.f64 (/.f64 (pow.f64 (hypot.f64 d c) 2) c) 3)))
(expm1.f64 (log1p.f64 (/.f64 (*.f64 a c) (pow.f64 (hypot.f64 d c) 2))))
(exp.f64 (log.f64 (/.f64 (*.f64 a c) (pow.f64 (hypot.f64 d c) 2))))
(exp.f64 (*.f64 (log.f64 (/.f64 (*.f64 a c) (pow.f64 (hypot.f64 d c) 2))) 1))
(log1p.f64 (expm1.f64 (/.f64 (*.f64 a c) (pow.f64 (hypot.f64 d c) 2))))
(+.f64 (pow.f64 c 2) (pow.f64 d 2))
(+.f64 (pow.f64 d 2) (pow.f64 c 2))
(+.f64 (*.f64 (pow.f64 d 2) 1) (pow.f64 c 2))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (hypot.f64 d c) 2))) 1)
(*.f64 (hypot.f64 d c) (hypot.f64 d c))
(*.f64 1 (pow.f64 (hypot.f64 d c) 2))
(*.f64 (pow.f64 (hypot.f64 d c) 2) 1)
(*.f64 (pow.f64 (cbrt.f64 (hypot.f64 d c)) 2) (pow.f64 (pow.f64 (cbrt.f64 (hypot.f64 d c)) 2) 2))
(*.f64 (pow.f64 (cbrt.f64 (hypot.f64 d c)) 2) (*.f64 (cbrt.f64 (hypot.f64 d c)) (hypot.f64 d c)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (hypot.f64 d c)) 2) 2) (pow.f64 (cbrt.f64 (hypot.f64 d c)) 2))
(*.f64 (sqrt.f64 (hypot.f64 d c)) (*.f64 (sqrt.f64 (hypot.f64 d c)) (hypot.f64 d c)))
(*.f64 (*.f64 (hypot.f64 d c) (sqrt.f64 (hypot.f64 d c))) (sqrt.f64 (hypot.f64 d c)))
(*.f64 (*.f64 (hypot.f64 d c) (pow.f64 (cbrt.f64 (hypot.f64 d c)) 2)) (cbrt.f64 (hypot.f64 d c)))
(/.f64 (+.f64 (pow.f64 (pow.f64 d 2) 3) (pow.f64 (pow.f64 c 2) 3)) (+.f64 (*.f64 (pow.f64 d 2) (pow.f64 d 2)) (-.f64 (pow.f64 c 4) (*.f64 (pow.f64 d 2) (pow.f64 c 2)))))
(/.f64 (+.f64 (pow.f64 (pow.f64 c 2) 3) (pow.f64 (pow.f64 d 2) 3)) (+.f64 (pow.f64 c 4) (-.f64 (*.f64 (pow.f64 d 2) (pow.f64 d 2)) (*.f64 (pow.f64 c 2) (pow.f64 d 2)))))
(/.f64 (-.f64 (*.f64 (pow.f64 d 2) (pow.f64 d 2)) (pow.f64 c 4)) (-.f64 (pow.f64 d 2) (pow.f64 c 2)))
(/.f64 (-.f64 (pow.f64 c 4) (*.f64 (pow.f64 d 2) (pow.f64 d 2))) (-.f64 (pow.f64 c 2) (pow.f64 d 2)))
(pow.f64 (hypot.f64 d c) 2)
(pow.f64 (pow.f64 (hypot.f64 d c) 2) 1)
(pow.f64 (pow.f64 (cbrt.f64 (hypot.f64 d c)) 2) 3)
(pow.f64 (pow.f64 (pow.f64 (hypot.f64 d c) 2) 3) 1/3)
(sqrt.f64 (pow.f64 (pow.f64 (hypot.f64 d c) 2) 2))
(log.f64 (exp.f64 (pow.f64 (hypot.f64 d c) 2)))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (hypot.f64 d c) 2))))
(cbrt.f64 (pow.f64 (pow.f64 (hypot.f64 d c) 2) 3))
(expm1.f64 (log1p.f64 (pow.f64 (hypot.f64 d c) 2)))
(exp.f64 (log.f64 (pow.f64 (hypot.f64 d c) 2)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (hypot.f64 d c) 2)) 1))
(log1p.f64 (expm1.f64 (pow.f64 (hypot.f64 d c) 2)))

simplify255.0ms (2.1%)

Algorithm
egg-herbie
Rules
1130×times-frac
1016×fma-def
706×associate-*r/
648×associate-*l/
452×*-commutative
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0101035120
1269934345
Stop Event
node limit
Counts
754 → 651
Calls
Call 1
Inputs
(*.f64 (*.f64 a c) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 c 2) (pow.f64 d 2)))))
(+.f64 (*.f64 (*.f64 a c) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 c 2) (pow.f64 d 2))))) (*.f64 (*.f64 b d) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 c 2) (pow.f64 d 2))))))
(+.f64 (*.f64 (*.f64 a c) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 c 2) (pow.f64 d 2))))) (*.f64 (*.f64 b d) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 c 2) (pow.f64 d 2))))))
(+.f64 (*.f64 (*.f64 a c) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 c 2) (pow.f64 d 2))))) (*.f64 (*.f64 b d) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 c 2) (pow.f64 d 2))))))
(*.f64 (*.f64 b d) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 c 2) (pow.f64 d 2)))))
(+.f64 (*.f64 (*.f64 a c) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 c 2) (pow.f64 d 2))))) (*.f64 (*.f64 b d) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 c 2) (pow.f64 d 2))))))
(+.f64 (*.f64 (*.f64 a c) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 c 2) (pow.f64 d 2))))) (*.f64 (*.f64 b d) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 c 2) (pow.f64 d 2))))))
(+.f64 (*.f64 (*.f64 a c) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 c 2) (pow.f64 d 2))))) (*.f64 (*.f64 b d) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 c 2) (pow.f64 d 2))))))
(*.f64 (*.f64 b d) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 c 2) (pow.f64 d 2)))))
(+.f64 (*.f64 (*.f64 a c) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 c 2) (pow.f64 d 2))))) (*.f64 (*.f64 b d) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 c 2) (pow.f64 d 2))))))
(+.f64 (*.f64 (*.f64 a c) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 c 2) (pow.f64 d 2))))) (*.f64 (*.f64 b d) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 c 2) (pow.f64 d 2))))))
(+.f64 (*.f64 (*.f64 a c) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 c 2) (pow.f64 d 2))))) (*.f64 (*.f64 b d) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 c 2) (pow.f64 d 2))))))
a
(+.f64 a (/.f64 (*.f64 b d) c))
(+.f64 a (+.f64 (*.f64 -1/2 (/.f64 (*.f64 a (pow.f64 d 2)) (pow.f64 c 2))) (/.f64 (*.f64 b d) c)))
(+.f64 a (+.f64 (*.f64 -1/2 (/.f64 (*.f64 a (pow.f64 d 2)) (pow.f64 c 2))) (+.f64 (*.f64 -1/2 (/.f64 (*.f64 b (pow.f64 d 3)) (pow.f64 c 3))) (/.f64 (*.f64 b d) c))))
b
(+.f64 b (/.f64 (*.f64 a c) d))
(+.f64 b (+.f64 (*.f64 -1/2 (/.f64 (*.f64 b (pow.f64 c 2)) (pow.f64 d 2))) (/.f64 (*.f64 a c) d)))
(+.f64 b (+.f64 (*.f64 -1/2 (/.f64 (*.f64 a (pow.f64 c 3)) (pow.f64 d 3))) (+.f64 (*.f64 -1/2 (/.f64 (*.f64 b (pow.f64 c 2)) (pow.f64 d 2))) (/.f64 (*.f64 a c) d))))
(*.f64 -1 b)
(+.f64 (*.f64 -1 b) (*.f64 -1 (/.f64 (*.f64 a c) d)))
(+.f64 (*.f64 -1 b) (+.f64 (*.f64 -1 (/.f64 (*.f64 a c) d)) (*.f64 1/2 (/.f64 (*.f64 b (pow.f64 c 2)) (pow.f64 d 2)))))
(+.f64 (*.f64 -1 b) (+.f64 (*.f64 -1 (/.f64 (*.f64 a c) d)) (+.f64 (*.f64 1/2 (/.f64 (*.f64 a (pow.f64 c 3)) (pow.f64 d 3))) (*.f64 1/2 (/.f64 (*.f64 b (pow.f64 c 2)) (pow.f64 d 2))))))
(*.f64 (*.f64 b d) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 c 2) (pow.f64 d 2)))))
(+.f64 (*.f64 (*.f64 a c) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 c 2) (pow.f64 d 2))))) (*.f64 (*.f64 b d) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 c 2) (pow.f64 d 2))))))
(+.f64 (*.f64 (*.f64 a c) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 c 2) (pow.f64 d 2))))) (*.f64 (*.f64 b d) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 c 2) (pow.f64 d 2))))))
(+.f64 (*.f64 (*.f64 a c) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 c 2) (pow.f64 d 2))))) (*.f64 (*.f64 b d) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 c 2) (pow.f64 d 2))))))
(*.f64 (*.f64 a c) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 c 2) (pow.f64 d 2)))))
(+.f64 (*.f64 (*.f64 a c) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 c 2) (pow.f64 d 2))))) (*.f64 (*.f64 b d) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 c 2) (pow.f64 d 2))))))
(+.f64 (*.f64 (*.f64 a c) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 c 2) (pow.f64 d 2))))) (*.f64 (*.f64 b d) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 c 2) (pow.f64 d 2))))))
(+.f64 (*.f64 (*.f64 a c) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 c 2) (pow.f64 d 2))))) (*.f64 (*.f64 b d) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 c 2) (pow.f64 d 2))))))
(*.f64 (*.f64 a c) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 c 2) (pow.f64 d 2)))))
(+.f64 (*.f64 (*.f64 a c) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 c 2) (pow.f64 d 2))))) (*.f64 (*.f64 b d) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 c 2) (pow.f64 d 2))))))
(+.f64 (*.f64 (*.f64 a c) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 c 2) (pow.f64 d 2))))) (*.f64 (*.f64 b d) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 c 2) (pow.f64 d 2))))))
(+.f64 (*.f64 (*.f64 a c) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 c 2) (pow.f64 d 2))))) (*.f64 (*.f64 b d) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 c 2) (pow.f64 d 2))))))
b
(+.f64 b (/.f64 (*.f64 a c) d))
(+.f64 b (+.f64 (*.f64 -1/2 (/.f64 (*.f64 b (pow.f64 c 2)) (pow.f64 d 2))) (/.f64 (*.f64 a c) d)))
(+.f64 b (+.f64 (*.f64 -1/2 (/.f64 (*.f64 a (pow.f64 c 3)) (pow.f64 d 3))) (+.f64 (*.f64 -1/2 (/.f64 (*.f64 b (pow.f64 c 2)) (pow.f64 d 2))) (/.f64 (*.f64 a c) d))))
a
(+.f64 a (/.f64 (*.f64 b d) c))
(+.f64 a (+.f64 (*.f64 -1/2 (/.f64 (*.f64 a (pow.f64 d 2)) (pow.f64 c 2))) (/.f64 (*.f64 b d) c)))
(+.f64 a (+.f64 (*.f64 -1/2 (/.f64 (*.f64 a (pow.f64 d 2)) (pow.f64 c 2))) (+.f64 (*.f64 -1/2 (/.f64 (*.f64 b (pow.f64 d 3)) (pow.f64 c 3))) (/.f64 (*.f64 b d) c))))
(*.f64 -1 a)
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(cbrt.f64 (*.f64 (pow.f64 (/.f64 1 (hypot.f64 d c)) 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 d c)) 3)))
(cbrt.f64 (/.f64 (pow.f64 (fma.f64 a (/.f64 c d) b) 3) (pow.f64 (hypot.f64 d c) 3)))
(expm1.f64 (log1p.f64 (/.f64 (fma.f64 a (/.f64 c d) b) (hypot.f64 d c))))
(exp.f64 (log.f64 (/.f64 (fma.f64 a (/.f64 c d) b) (hypot.f64 d c))))
(exp.f64 (*.f64 (log.f64 (/.f64 (fma.f64 a (/.f64 c d) b) (hypot.f64 d c))) 1))
(log1p.f64 (expm1.f64 (/.f64 (fma.f64 a (/.f64 c d) b) (hypot.f64 d c))))
(fma.f64 b (/.f64 1 (hypot.f64 d c)) (/.f64 a (*.f64 (hypot.f64 d c) (/.f64 d c))))
(fma.f64 1 (/.f64 b (hypot.f64 d c)) (/.f64 a (*.f64 (hypot.f64 d c) (/.f64 d c))))
(fma.f64 (/.f64 1 (hypot.f64 d c)) b (/.f64 a (*.f64 (hypot.f64 d c) (/.f64 d c))))
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 b (hypot.f64 d c))) 2) (cbrt.f64 (/.f64 b (hypot.f64 d c))) (/.f64 a (*.f64 (hypot.f64 d c) (/.f64 d c))))
(fma.f64 (sqrt.f64 (/.f64 b (hypot.f64 d c))) (sqrt.f64 (/.f64 b (hypot.f64 d c))) (/.f64 a (*.f64 (hypot.f64 d c) (/.f64 d c))))
(-.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 (*.f64 b 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 (pow.f64 (cbrt.f64 (*.f64 a (/.f64 c d))) 2) (cbrt.f64 (*.f64 a (/.f64 c d))) b)
(fma.f64 (cbrt.f64 (pow.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 (pow.f64 (hypot.f64 d c) 2) c))) 1)
(*.f64 (hypot.f64 d c) (/.f64 (hypot.f64 d c) c))
(*.f64 (hypot.f64 d c) (*.f64 (hypot.f64 d c) (/.f64 1 c)))
(*.f64 1 (/.f64 (pow.f64 (hypot.f64 d c) 2) c))
(*.f64 (pow.f64 (hypot.f64 d c) 2) (/.f64 1 c))
(*.f64 (/.f64 (pow.f64 (hypot.f64 d c) 2) c) 1)
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (hypot.f64 d c)) 2) 2) (*.f64 (pow.f64 (cbrt.f64 (hypot.f64 d c)) 2) (/.f64 1 c)))
(*.f64 (cbrt.f64 (/.f64 (pow.f64 (hypot.f64 d c) 2) c)) (pow.f64 (cbrt.f64 (/.f64 (pow.f64 (hypot.f64 d c) 2) c)) 2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (pow.f64 (hypot.f64 d c) 2) c)) 2) (cbrt.f64 (/.f64 (pow.f64 (hypot.f64 d c) 2) c)))
(*.f64 (/.f64 (hypot.f64 d c) (sqrt.f64 c)) (/.f64 (hypot.f64 d c) (sqrt.f64 c)))
(*.f64 (neg.f64 (pow.f64 (hypot.f64 d c) 2)) (/.f64 1 (neg.f64 c)))
(*.f64 (/.f64 1 c) (pow.f64 (hypot.f64 d c) 2))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 c) 2)) (/.f64 (pow.f64 (hypot.f64 d c) 2) (cbrt.f64 c)))
(*.f64 (/.f64 1 (sqrt.f64 c)) (/.f64 (pow.f64 (hypot.f64 d c) 2) (sqrt.f64 c)))
(*.f64 (/.f64 (pow.f64 (pow.f64 (cbrt.f64 (hypot.f64 d c)) 2) 2) 1) (/.f64 (pow.f64 (cbrt.f64 (hypot.f64 d c)) 2) c))
(*.f64 (/.f64 (pow.f64 (pow.f64 (cbrt.f64 (hypot.f64 d c)) 2) 2) (pow.f64 (cbrt.f64 c) 2)) (cbrt.f64 (/.f64 (pow.f64 (hypot.f64 d c) 2) c)))
(*.f64 (/.f64 (pow.f64 (pow.f64 (cbrt.f64 (hypot.f64 d c)) 2) 2) (sqrt.f64 c)) (/.f64 (pow.f64 (cbrt.f64 (hypot.f64 d c)) 2) (sqrt.f64 c)))
(*.f64 (/.f64 (hypot.f64 d c) (pow.f64 (cbrt.f64 c) 2)) (/.f64 (hypot.f64 d c) (cbrt.f64 c)))
(pow.f64 (/.f64 (pow.f64 (hypot.f64 d c) 2) c) 1)
(pow.f64 (cbrt.f64 (/.f64 (pow.f64 (hypot.f64 d c) 2) c)) 3)
(pow.f64 (pow.f64 (/.f64 (pow.f64 (hypot.f64 d c) 2) c) 3) 1/3)
(pow.f64 (/.f64 (hypot.f64 d c) (sqrt.f64 c)) 2)
(pow.f64 (*.f64 c (pow.f64 (hypot.f64 d c) -2)) -1)
(neg.f64 (/.f64 (pow.f64 (hypot.f64 d c) 2) (neg.f64 c)))
(sqrt.f64 (pow.f64 (/.f64 (pow.f64 (hypot.f64 d c) 2) c) 2))
(log.f64 (exp.f64 (/.f64 (pow.f64 (hypot.f64 d c) 2) c)))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (pow.f64 (hypot.f64 d c) 2) c))))
(cbrt.f64 (pow.f64 (/.f64 (pow.f64 (hypot.f64 d c) 2) c) 3))
(cbrt.f64 (/.f64 (pow.f64 (pow.f64 (hypot.f64 d c) 2) 3) (pow.f64 c 3)))
(expm1.f64 (log1p.f64 (/.f64 (pow.f64 (hypot.f64 d c) 2) c)))
(exp.f64 (log.f64 (/.f64 (pow.f64 (hypot.f64 d c) 2) c)))
(exp.f64 (*.f64 (log.f64 (/.f64 (pow.f64 (hypot.f64 d c) 2) c)) 1))
(log1p.f64 (expm1.f64 (/.f64 (pow.f64 (hypot.f64 d c) 2) c)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (*.f64 a c) (pow.f64 (hypot.f64 d c) 2)))) 1)
(*.f64 a (*.f64 c (pow.f64 (hypot.f64 d c) -2)))
(*.f64 c (*.f64 a (pow.f64 (hypot.f64 d c) -2)))
(*.f64 1 (/.f64 (*.f64 a c) (pow.f64 (hypot.f64 d c) 2)))
(*.f64 (/.f64 (*.f64 a c) (pow.f64 (hypot.f64 d c) 2)) 1)
(*.f64 (cbrt.f64 (/.f64 (*.f64 a c) (pow.f64 (hypot.f64 d c) 2))) (pow.f64 (cbrt.f64 (/.f64 (*.f64 a c) (pow.f64 (hypot.f64 d c) 2))) 2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (*.f64 a c) (pow.f64 (hypot.f64 d c) 2))) 2) (cbrt.f64 (/.f64 (*.f64 a c) (pow.f64 (hypot.f64 d c) 2))))
(*.f64 (pow.f64 (cbrt.f64 a) 2) (*.f64 (cbrt.f64 a) (*.f64 c (pow.f64 (hypot.f64 d c) -2))))
(*.f64 (pow.f64 (hypot.f64 d c) -2) (/.f64 a (/.f64 1 c)))
(*.f64 (/.f64 (sqrt.f64 a) (/.f64 (hypot.f64 d c) (sqrt.f64 c))) (/.f64 (sqrt.f64 a) (/.f64 (hypot.f64 d c) (sqrt.f64 c))))
(*.f64 (sqrt.f64 a) (*.f64 (sqrt.f64 a) (*.f64 c (pow.f64 (hypot.f64 d c) -2))))
(*.f64 (neg.f64 a) (/.f64 1 (/.f64 (neg.f64 (pow.f64 (hypot.f64 d c) 2)) c)))
(*.f64 (*.f64 c (pow.f64 (hypot.f64 d c) -2)) a)
(*.f64 (*.f64 a (pow.f64 (hypot.f64 d c) -2)) c)
(*.f64 (/.f64 (pow.f64 (cbrt.f64 a) 2) 1) (/.f64 (cbrt.f64 a) (/.f64 (pow.f64 (hypot.f64 d c) 2) c)))
(*.f64 (/.f64 (sqrt.f64 a) 1) (/.f64 (sqrt.f64 a) (/.f64 (pow.f64 (hypot.f64 d c) 2) c)))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (/.f64 (pow.f64 (hypot.f64 d c) 2) c)) 2)) (/.f64 a (cbrt.f64 (/.f64 (pow.f64 (hypot.f64 d c) 2) c))))
(*.f64 (/.f64 1 (/.f64 (hypot.f64 d c) (sqrt.f64 c))) (/.f64 a (/.f64 (hypot.f64 d c) (sqrt.f64 c))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 a) 2) (pow.f64 (hypot.f64 d c) 2)) (/.f64 (cbrt.f64 a) (/.f64 1 c)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 a) 2) (pow.f64 (cbrt.f64 (/.f64 (pow.f64 (hypot.f64 d c) 2) c)) 2)) (cbrt.f64 (/.f64 (*.f64 a c) (pow.f64 (hypot.f64 d c) 2))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 a) 2) (/.f64 (hypot.f64 d c) (sqrt.f64 c))) (/.f64 (cbrt.f64 a) (/.f64 (hypot.f64 d c) (sqrt.f64 c))))
(*.f64 (/.f64 (sqrt.f64 a) (pow.f64 (hypot.f64 d c) 2)) (/.f64 (sqrt.f64 a) (/.f64 1 c)))
(*.f64 (/.f64 (sqrt.f64 a) (pow.f64 (cbrt.f64 (/.f64 (pow.f64 (hypot.f64 d c) 2) c)) 2)) (/.f64 (sqrt.f64 a) (cbrt.f64 (/.f64 (pow.f64 (hypot.f64 d c) 2) c))))
(*.f64 (*.f64 (*.f64 a (pow.f64 (hypot.f64 d c) -2)) 1) c)
(*.f64 (*.f64 (*.f64 a (pow.f64 (hypot.f64 d c) -2)) (pow.f64 (cbrt.f64 c) 2)) (cbrt.f64 c))
(*.f64 (*.f64 (*.f64 a (pow.f64 (hypot.f64 d c) -2)) (sqrt.f64 c)) (sqrt.f64 c))
(*.f64 (/.f64 a 1) (*.f64 c (pow.f64 (hypot.f64 d c) -2)))
(*.f64 (/.f64 a (neg.f64 (pow.f64 (hypot.f64 d c) 2))) (neg.f64 c))
(pow.f64 (/.f64 (*.f64 a c) (pow.f64 (hypot.f64 d c) 2)) 1)
(pow.f64 (cbrt.f64 (/.f64 (*.f64 a c) (pow.f64 (hypot.f64 d c) 2))) 3)
(pow.f64 (pow.f64 (/.f64 (*.f64 a c) (pow.f64 (hypot.f64 d c) 2)) 3) 1/3)
(pow.f64 (/.f64 (sqrt.f64 a) (/.f64 (hypot.f64 d c) (sqrt.f64 c))) 2)
(pow.f64 (/.f64 (pow.f64 (hypot.f64 d c) 2) (*.f64 a c)) -1)
(neg.f64 (/.f64 a (/.f64 (neg.f64 (pow.f64 (hypot.f64 d c) 2)) c)))
(sqrt.f64 (pow.f64 (/.f64 (*.f64 a c) (pow.f64 (hypot.f64 d c) 2)) 2))
(log.f64 (pow.f64 (exp.f64 a) (*.f64 c (pow.f64 (hypot.f64 d c) -2))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (*.f64 a c) (pow.f64 (hypot.f64 d c) 2)))))
(cbrt.f64 (pow.f64 (/.f64 (*.f64 a c) (pow.f64 (hypot.f64 d c) 2)) 3))
(cbrt.f64 (/.f64 (pow.f64 a 3) (pow.f64 (/.f64 (pow.f64 (hypot.f64 d c) 2) c) 3)))
(expm1.f64 (log1p.f64 (/.f64 (*.f64 a c) (pow.f64 (hypot.f64 d c) 2))))
(exp.f64 (log.f64 (/.f64 (*.f64 a c) (pow.f64 (hypot.f64 d c) 2))))
(exp.f64 (*.f64 (log.f64 (/.f64 (*.f64 a c) (pow.f64 (hypot.f64 d c) 2))) 1))
(log1p.f64 (expm1.f64 (/.f64 (*.f64 a c) (pow.f64 (hypot.f64 d c) 2))))
(+.f64 (pow.f64 c 2) (pow.f64 d 2))
(+.f64 (pow.f64 d 2) (pow.f64 c 2))
(+.f64 (*.f64 (pow.f64 d 2) 1) (pow.f64 c 2))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (hypot.f64 d c) 2))) 1)
(*.f64 (hypot.f64 d c) (hypot.f64 d c))
(*.f64 1 (pow.f64 (hypot.f64 d c) 2))
(*.f64 (pow.f64 (hypot.f64 d c) 2) 1)
(*.f64 (pow.f64 (cbrt.f64 (hypot.f64 d c)) 2) (pow.f64 (pow.f64 (cbrt.f64 (hypot.f64 d c)) 2) 2))
(*.f64 (pow.f64 (cbrt.f64 (hypot.f64 d c)) 2) (*.f64 (cbrt.f64 (hypot.f64 d c)) (hypot.f64 d c)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (hypot.f64 d c)) 2) 2) (pow.f64 (cbrt.f64 (hypot.f64 d c)) 2))
(*.f64 (sqrt.f64 (hypot.f64 d c)) (*.f64 (sqrt.f64 (hypot.f64 d c)) (hypot.f64 d c)))
(*.f64 (*.f64 (hypot.f64 d c) (sqrt.f64 (hypot.f64 d c))) (sqrt.f64 (hypot.f64 d c)))
(*.f64 (*.f64 (hypot.f64 d c) (pow.f64 (cbrt.f64 (hypot.f64 d c)) 2)) (cbrt.f64 (hypot.f64 d c)))
(/.f64 (+.f64 (pow.f64 (pow.f64 d 2) 3) (pow.f64 (pow.f64 c 2) 3)) (+.f64 (*.f64 (pow.f64 d 2) (pow.f64 d 2)) (-.f64 (pow.f64 c 4) (*.f64 (pow.f64 d 2) (pow.f64 c 2)))))
(/.f64 (+.f64 (pow.f64 (pow.f64 c 2) 3) (pow.f64 (pow.f64 d 2) 3)) (+.f64 (pow.f64 c 4) (-.f64 (*.f64 (pow.f64 d 2) (pow.f64 d 2)) (*.f64 (pow.f64 c 2) (pow.f64 d 2)))))
(/.f64 (-.f64 (*.f64 (pow.f64 d 2) (pow.f64 d 2)) (pow.f64 c 4)) (-.f64 (pow.f64 d 2) (pow.f64 c 2)))
(/.f64 (-.f64 (pow.f64 c 4) (*.f64 (pow.f64 d 2) (pow.f64 d 2))) (-.f64 (pow.f64 c 2) (pow.f64 d 2)))
(pow.f64 (hypot.f64 d c) 2)
(pow.f64 (pow.f64 (hypot.f64 d c) 2) 1)
(pow.f64 (pow.f64 (cbrt.f64 (hypot.f64 d c)) 2) 3)
(pow.f64 (pow.f64 (pow.f64 (hypot.f64 d c) 2) 3) 1/3)
(sqrt.f64 (pow.f64 (pow.f64 (hypot.f64 d c) 2) 2))
(log.f64 (exp.f64 (pow.f64 (hypot.f64 d c) 2)))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (hypot.f64 d c) 2))))
(cbrt.f64 (pow.f64 (pow.f64 (hypot.f64 d c) 2) 3))
(expm1.f64 (log1p.f64 (pow.f64 (hypot.f64 d c) 2)))
(exp.f64 (log.f64 (pow.f64 (hypot.f64 d c) 2)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (hypot.f64 d c) 2)) 1))
(log1p.f64 (expm1.f64 (pow.f64 (hypot.f64 d c) 2)))
Outputs
(*.f64 (*.f64 a c) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 c 2) (pow.f64 d 2)))))
(*.f64 a (*.f64 c (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 d b)))
(*.f64 (sqrt.f64 (/.f64 1 (fma.f64 d d (pow.f64 c 2)))) (fma.f64 a c (*.f64 d b)))
(+.f64 (*.f64 (*.f64 a c) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 c 2) (pow.f64 d 2))))) (*.f64 (*.f64 b d) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 c 2) (pow.f64 d 2))))))
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 c 2) (pow.f64 d 2)))) (fma.f64 a c (*.f64 d b)))
(*.f64 (sqrt.f64 (/.f64 1 (fma.f64 d d (pow.f64 c 2)))) (fma.f64 a c (*.f64 d b)))
(+.f64 (*.f64 (*.f64 a c) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 c 2) (pow.f64 d 2))))) (*.f64 (*.f64 b d) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 c 2) (pow.f64 d 2))))))
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 c 2) (pow.f64 d 2)))) (fma.f64 a c (*.f64 d b)))
(*.f64 (sqrt.f64 (/.f64 1 (fma.f64 d d (pow.f64 c 2)))) (fma.f64 a c (*.f64 d b)))
(*.f64 (*.f64 b d) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 c 2) (pow.f64 d 2)))))
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 c 2) (pow.f64 d 2)))) (*.f64 d b))
(*.f64 (sqrt.f64 (/.f64 1 (fma.f64 d d (pow.f64 c 2)))) (*.f64 d b))
(+.f64 (*.f64 (*.f64 a c) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 c 2) (pow.f64 d 2))))) (*.f64 (*.f64 b d) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 c 2) (pow.f64 d 2))))))
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 c 2) (pow.f64 d 2)))) (fma.f64 a c (*.f64 d b)))
(*.f64 (sqrt.f64 (/.f64 1 (fma.f64 d d (pow.f64 c 2)))) (fma.f64 a c (*.f64 d b)))
(+.f64 (*.f64 (*.f64 a c) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 c 2) (pow.f64 d 2))))) (*.f64 (*.f64 b d) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 c 2) (pow.f64 d 2))))))
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 c 2) (pow.f64 d 2)))) (fma.f64 a c (*.f64 d b)))
(*.f64 (sqrt.f64 (/.f64 1 (fma.f64 d d (pow.f64 c 2)))) (fma.f64 a c (*.f64 d b)))
(+.f64 (*.f64 (*.f64 a c) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 c 2) (pow.f64 d 2))))) (*.f64 (*.f64 b d) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 c 2) (pow.f64 d 2))))))
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 c 2) (pow.f64 d 2)))) (fma.f64 a c (*.f64 d b)))
(*.f64 (sqrt.f64 (/.f64 1 (fma.f64 d d (pow.f64 c 2)))) (fma.f64 a c (*.f64 d b)))
(*.f64 (*.f64 b d) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 c 2) (pow.f64 d 2)))))
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 c 2) (pow.f64 d 2)))) (*.f64 d b))
(*.f64 (sqrt.f64 (/.f64 1 (fma.f64 d d (pow.f64 c 2)))) (*.f64 d b))
(+.f64 (*.f64 (*.f64 a c) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 c 2) (pow.f64 d 2))))) (*.f64 (*.f64 b d) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 c 2) (pow.f64 d 2))))))
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 c 2) (pow.f64 d 2)))) (fma.f64 a c (*.f64 d b)))
(*.f64 (sqrt.f64 (/.f64 1 (fma.f64 d d (pow.f64 c 2)))) (fma.f64 a c (*.f64 d b)))
(+.f64 (*.f64 (*.f64 a c) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 c 2) (pow.f64 d 2))))) (*.f64 (*.f64 b d) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 c 2) (pow.f64 d 2))))))
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 c 2) (pow.f64 d 2)))) (fma.f64 a c (*.f64 d b)))
(*.f64 (sqrt.f64 (/.f64 1 (fma.f64 d d (pow.f64 c 2)))) (fma.f64 a c (*.f64 d b)))
(+.f64 (*.f64 (*.f64 a c) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 c 2) (pow.f64 d 2))))) (*.f64 (*.f64 b d) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 c 2) (pow.f64 d 2))))))
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 c 2) (pow.f64 d 2)))) (fma.f64 a c (*.f64 d b)))
(*.f64 (sqrt.f64 (/.f64 1 (fma.f64 d d (pow.f64 c 2)))) (fma.f64 a c (*.f64 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 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 b (/.f64 (pow.f64 c 3) (pow.f64 d 3))) (/.f64 b (/.f64 c d)))))
(+.f64 a (fma.f64 -1/2 (/.f64 a (/.f64 (pow.f64 c 2) (pow.f64 d 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)
(+.f64 b (+.f64 (*.f64 -1/2 (/.f64 (*.f64 b (pow.f64 c 2)) (pow.f64 d 2))) (/.f64 (*.f64 a c) d)))
(+.f64 b (fma.f64 -1/2 (/.f64 (*.f64 (pow.f64 c 2) b) (pow.f64 d 2)) (*.f64 a (/.f64 c d))))
(+.f64 (/.f64 (*.f64 -1/2 (*.f64 (pow.f64 c 2) b)) (pow.f64 d 2)) (fma.f64 a (/.f64 c 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 (*.f64 a (pow.f64 c 3)) (pow.f64 d 3)) (fma.f64 -1/2 (/.f64 (*.f64 (pow.f64 c 2) b) (pow.f64 d 2)) (*.f64 a (/.f64 c d)))))
(+.f64 (*.f64 -1/2 (+.f64 (/.f64 a (/.f64 (pow.f64 d 3) (pow.f64 c 3))) (*.f64 b (/.f64 (pow.f64 c 2) (pow.f64 d 2))))) (fma.f64 a (/.f64 c d) b))
(*.f64 -1 b)
(neg.f64 b)
(+.f64 (*.f64 -1 b) (*.f64 -1 (/.f64 (*.f64 a c) d)))
(neg.f64 (fma.f64 a (/.f64 c d) b))
(+.f64 (*.f64 -1 b) (+.f64 (*.f64 -1 (/.f64 (*.f64 a c) d)) (*.f64 1/2 (/.f64 (*.f64 b (pow.f64 c 2)) (pow.f64 d 2)))))
(+.f64 (neg.f64 (fma.f64 a (/.f64 c d) b)) (*.f64 (/.f64 (*.f64 (pow.f64 c 2) b) (pow.f64 d 2)) 1/2))
(fma.f64 -1 (fma.f64 a (/.f64 c d) b) (/.f64 (*.f64 1/2 (*.f64 (pow.f64 c 2) b)) (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 (neg.f64 (fma.f64 a (/.f64 c d) b)) (*.f64 1/2 (+.f64 (/.f64 (*.f64 a (pow.f64 c 3)) (pow.f64 d 3)) (/.f64 (*.f64 (pow.f64 c 2) b) (pow.f64 d 2)))))
(fma.f64 -1 (fma.f64 a (/.f64 c d) b) (*.f64 1/2 (+.f64 (/.f64 a (/.f64 (pow.f64 d 3) (pow.f64 c 3))) (*.f64 b (/.f64 (pow.f64 c 2) (pow.f64 d 2))))))
(*.f64 (*.f64 b d) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 c 2) (pow.f64 d 2)))))
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 c 2) (pow.f64 d 2)))) (*.f64 d b))
(*.f64 (sqrt.f64 (/.f64 1 (fma.f64 d d (pow.f64 c 2)))) (*.f64 d b))
(+.f64 (*.f64 (*.f64 a c) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 c 2) (pow.f64 d 2))))) (*.f64 (*.f64 b d) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 c 2) (pow.f64 d 2))))))
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 c 2) (pow.f64 d 2)))) (fma.f64 a c (*.f64 d b)))
(*.f64 (sqrt.f64 (/.f64 1 (fma.f64 d d (pow.f64 c 2)))) (fma.f64 a c (*.f64 d b)))
(+.f64 (*.f64 (*.f64 a c) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 c 2) (pow.f64 d 2))))) (*.f64 (*.f64 b d) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 c 2) (pow.f64 d 2))))))
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 c 2) (pow.f64 d 2)))) (fma.f64 a c (*.f64 d b)))
(*.f64 (sqrt.f64 (/.f64 1 (fma.f64 d d (pow.f64 c 2)))) (fma.f64 a c (*.f64 d b)))
(+.f64 (*.f64 (*.f64 a c) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 c 2) (pow.f64 d 2))))) (*.f64 (*.f64 b d) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 c 2) (pow.f64 d 2))))))
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 c 2) (pow.f64 d 2)))) (fma.f64 a c (*.f64 d b)))
(*.f64 (sqrt.f64 (/.f64 1 (fma.f64 d d (pow.f64 c 2)))) (fma.f64 a c (*.f64 d b)))
(*.f64 (*.f64 a c) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 c 2) (pow.f64 d 2)))))
(*.f64 a (*.f64 c (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 d b)))
(*.f64 (sqrt.f64 (/.f64 1 (fma.f64 d d (pow.f64 c 2)))) (fma.f64 a c (*.f64 d b)))
(+.f64 (*.f64 (*.f64 a c) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 c 2) (pow.f64 d 2))))) (*.f64 (*.f64 b d) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 c 2) (pow.f64 d 2))))))
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 c 2) (pow.f64 d 2)))) (fma.f64 a c (*.f64 d b)))
(*.f64 (sqrt.f64 (/.f64 1 (fma.f64 d d (pow.f64 c 2)))) (fma.f64 a c (*.f64 d b)))
(+.f64 (*.f64 (*.f64 a c) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 c 2) (pow.f64 d 2))))) (*.f64 (*.f64 b d) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 c 2) (pow.f64 d 2))))))
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 c 2) (pow.f64 d 2)))) (fma.f64 a c (*.f64 d b)))
(*.f64 (sqrt.f64 (/.f64 1 (fma.f64 d d (pow.f64 c 2)))) (fma.f64 a c (*.f64 d b)))
(*.f64 (*.f64 a c) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 c 2) (pow.f64 d 2)))))
(*.f64 a (*.f64 c (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 d b)))
(*.f64 (sqrt.f64 (/.f64 1 (fma.f64 d d (pow.f64 c 2)))) (fma.f64 a c (*.f64 d b)))
(+.f64 (*.f64 (*.f64 a c) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 c 2) (pow.f64 d 2))))) (*.f64 (*.f64 b d) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 c 2) (pow.f64 d 2))))))
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 c 2) (pow.f64 d 2)))) (fma.f64 a c (*.f64 d b)))
(*.f64 (sqrt.f64 (/.f64 1 (fma.f64 d d (pow.f64 c 2)))) (fma.f64 a c (*.f64 d b)))
(+.f64 (*.f64 (*.f64 a c) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 c 2) (pow.f64 d 2))))) (*.f64 (*.f64 b d) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 c 2) (pow.f64 d 2))))))
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 c 2) (pow.f64 d 2)))) (fma.f64 a c (*.f64 d b)))
(*.f64 (sqrt.f64 (/.f64 1 (fma.f64 d d (pow.f64 c 2)))) (fma.f64 a c (*.f64 d b)))
b
(+.f64 b (/.f64 (*.f64 a c) d))
(fma.f64 a (/.f64 c d) b)
(+.f64 b (+.f64 (*.f64 -1/2 (/.f64 (*.f64 b (pow.f64 c 2)) (pow.f64 d 2))) (/.f64 (*.f64 a c) d)))
(+.f64 b (fma.f64 -1/2 (/.f64 (*.f64 (pow.f64 c 2) b) (pow.f64 d 2)) (*.f64 a (/.f64 c d))))
(+.f64 (/.f64 (*.f64 -1/2 (*.f64 (pow.f64 c 2) b)) (pow.f64 d 2)) (fma.f64 a (/.f64 c 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 (*.f64 a (pow.f64 c 3)) (pow.f64 d 3)) (fma.f64 -1/2 (/.f64 (*.f64 (pow.f64 c 2) b) (pow.f64 d 2)) (*.f64 a (/.f64 c d)))))
(+.f64 (*.f64 -1/2 (+.f64 (/.f64 a (/.f64 (pow.f64 d 3) (pow.f64 c 3))) (*.f64 b (/.f64 (pow.f64 c 2) (pow.f64 d 2))))) (fma.f64 a (/.f64 c d) b))
a
(+.f64 a (/.f64 (*.f64 b d) c))
(+.f64 a (/.f64 b (/.f64 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 b (/.f64 (pow.f64 c 3) (pow.f64 d 3))) (/.f64 b (/.f64 c d)))))
(+.f64 a (fma.f64 -1/2 (/.f64 a (/.f64 (pow.f64 c 2) (pow.f64 d 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 a (/.f64 (pow.f64 c 2) (pow.f64 d 2))) 1/2)))
(-.f64 (-.f64 (*.f64 (/.f64 a (/.f64 (pow.f64 c 2) (pow.f64 d 2))) 1/2) (/.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 b (/.f64 (pow.f64 c 3) (pow.f64 d 3)))))))
(-.f64 (fma.f64 1/2 (+.f64 (/.f64 a (/.f64 (pow.f64 c 2) (pow.f64 d 2))) (/.f64 b (pow.f64 (/.f64 c d) 3))) (/.f64 (neg.f64 b) (/.f64 c d))) a)
(*.f64 a c)
(+.f64 (*.f64 a c) (*.f64 b d))
(fma.f64 a c (*.f64 d b))
(+.f64 (*.f64 a c) (*.f64 b d))
(fma.f64 a c (*.f64 d b))
(+.f64 (*.f64 a c) (*.f64 b d))
(fma.f64 a c (*.f64 d b))
(*.f64 b d)
(*.f64 d b)
(+.f64 (*.f64 a c) (*.f64 b d))
(fma.f64 a c (*.f64 d b))
(+.f64 (*.f64 a c) (*.f64 b d))
(fma.f64 a c (*.f64 d b))
(+.f64 (*.f64 a c) (*.f64 b d))
(fma.f64 a c (*.f64 d b))
(*.f64 b d)
(*.f64 d b)
(+.f64 (*.f64 a c) (*.f64 b d))
(fma.f64 a c (*.f64 d b))
(+.f64 (*.f64 a c) (*.f64 b d))
(fma.f64 a c (*.f64 d b))
(+.f64 (*.f64 a c) (*.f64 b d))
(fma.f64 a c (*.f64 d b))
(*.f64 a c)
(+.f64 (*.f64 a c) (*.f64 b d))
(fma.f64 a c (*.f64 d b))
(+.f64 (*.f64 a c) (*.f64 b d))
(fma.f64 a c (*.f64 d b))
(+.f64 (*.f64 a c) (*.f64 b d))
(fma.f64 a c (*.f64 d b))
(*.f64 b d)
(*.f64 d b)
(+.f64 (*.f64 a c) (*.f64 b d))
(fma.f64 a c (*.f64 d b))
(+.f64 (*.f64 a c) (*.f64 b d))
(fma.f64 a c (*.f64 d b))
(+.f64 (*.f64 a c) (*.f64 b d))
(fma.f64 a c (*.f64 d b))
(*.f64 b d)
(*.f64 d b)
(+.f64 (*.f64 a c) (*.f64 b d))
(fma.f64 a c (*.f64 d b))
(+.f64 (*.f64 a c) (*.f64 b d))
(fma.f64 a c (*.f64 d b))
(+.f64 (*.f64 a c) (*.f64 b d))
(fma.f64 a c (*.f64 d b))
(*.f64 b d)
(*.f64 d b)
(+.f64 (*.f64 a c) (*.f64 b d))
(fma.f64 a c (*.f64 d b))
(+.f64 (*.f64 a c) (*.f64 b d))
(fma.f64 a c (*.f64 d b))
(+.f64 (*.f64 a c) (*.f64 b d))
(fma.f64 a c (*.f64 d b))
(*.f64 a c)
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(fma.f64 a c (*.f64 d b))
(+.f64 (*.f64 a c) (*.f64 b d))
(fma.f64 a c (*.f64 d b))
(+.f64 (*.f64 a c) (*.f64 b d))
(fma.f64 a c (*.f64 d b))
(*.f64 a c)
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(fma.f64 a c (*.f64 d b))
(+.f64 (*.f64 a c) (*.f64 b d))
(fma.f64 a c (*.f64 d b))
(+.f64 (*.f64 a c) (*.f64 b d))
(fma.f64 a c (*.f64 d b))
(*.f64 b d)
(*.f64 d b)
(+.f64 (*.f64 a c) (*.f64 b d))
(fma.f64 a c (*.f64 d b))
(+.f64 (*.f64 a c) (*.f64 b d))
(fma.f64 a c (*.f64 d b))
(+.f64 (*.f64 a c) (*.f64 b d))
(fma.f64 a c (*.f64 d b))
(*.f64 a c)
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(fma.f64 a c (*.f64 d b))
(+.f64 (*.f64 a c) (*.f64 b d))
(fma.f64 a c (*.f64 d b))
(+.f64 (*.f64 a c) (*.f64 b d))
(fma.f64 a c (*.f64 d b))
(*.f64 a c)
(+.f64 (*.f64 a c) (*.f64 b d))
(fma.f64 a c (*.f64 d b))
(+.f64 (*.f64 a c) (*.f64 b d))
(fma.f64 a c (*.f64 d b))
(+.f64 (*.f64 a c) (*.f64 b d))
(fma.f64 a c (*.f64 d 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 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))))
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(+.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 (/.f64 a (/.f64 (fma.f64 d d (pow.f64 c 2)) c)) (/.f64 (*.f64 d b) (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))))
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(*.f64 1 (pow.f64 (hypot.f64 d c) 2))
(pow.f64 (hypot.f64 d c) 2)
(*.f64 (pow.f64 (hypot.f64 d c) 2) 1)
(pow.f64 (hypot.f64 d c) 2)
(*.f64 (pow.f64 (cbrt.f64 (hypot.f64 d c)) 2) (pow.f64 (pow.f64 (cbrt.f64 (hypot.f64 d c)) 2) 2))
(pow.f64 (hypot.f64 d c) 2)
(*.f64 (pow.f64 (cbrt.f64 (hypot.f64 d c)) 2) (*.f64 (cbrt.f64 (hypot.f64 d c)) (hypot.f64 d c)))
(pow.f64 (hypot.f64 d c) 2)
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (hypot.f64 d c)) 2) 2) (pow.f64 (cbrt.f64 (hypot.f64 d c)) 2))
(pow.f64 (hypot.f64 d c) 2)
(*.f64 (sqrt.f64 (hypot.f64 d c)) (*.f64 (sqrt.f64 (hypot.f64 d c)) (hypot.f64 d c)))
(pow.f64 (hypot.f64 d c) 2)
(*.f64 (*.f64 (hypot.f64 d c) (sqrt.f64 (hypot.f64 d c))) (sqrt.f64 (hypot.f64 d c)))
(pow.f64 (hypot.f64 d c) 2)
(*.f64 (*.f64 (hypot.f64 d c) (pow.f64 (cbrt.f64 (hypot.f64 d c)) 2)) (cbrt.f64 (hypot.f64 d c)))
(pow.f64 (hypot.f64 d c) 2)
(/.f64 (+.f64 (pow.f64 (pow.f64 d 2) 3) (pow.f64 (pow.f64 c 2) 3)) (+.f64 (*.f64 (pow.f64 d 2) (pow.f64 d 2)) (-.f64 (pow.f64 c 4) (*.f64 (pow.f64 d 2) (pow.f64 c 2)))))
(/.f64 (+.f64 (pow.f64 (pow.f64 d 2) 3) (pow.f64 (pow.f64 c 2) 3)) (-.f64 (+.f64 (pow.f64 d 4) (pow.f64 c 4)) (*.f64 (pow.f64 c 2) (pow.f64 d 2))))
(/.f64 (+.f64 (pow.f64 c 6) (pow.f64 d 6)) (+.f64 (pow.f64 d 4) (*.f64 (pow.f64 c 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 (*.f64 (pow.f64 d 2) (pow.f64 d 2)) (*.f64 (pow.f64 c 2) (pow.f64 d 2)))))
(/.f64 (+.f64 (pow.f64 (pow.f64 d 2) 3) (pow.f64 (pow.f64 c 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 d 2) (pow.f64 d 2)) (pow.f64 c 4)) (-.f64 (pow.f64 d 2) (pow.f64 c 2)))
(/.f64 (-.f64 (pow.f64 d 4) (pow.f64 c 4)) (-.f64 (pow.f64 d 2) (pow.f64 c 2)))
(/.f64 (-.f64 (pow.f64 c 4) (*.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)))
(pow.f64 (hypot.f64 d c) 2)
(pow.f64 (pow.f64 (hypot.f64 d c) 2) 1)
(pow.f64 (hypot.f64 d c) 2)
(pow.f64 (pow.f64 (cbrt.f64 (hypot.f64 d c)) 2) 3)
(pow.f64 (hypot.f64 d c) 2)
(pow.f64 (pow.f64 (pow.f64 (hypot.f64 d c) 2) 3) 1/3)
(pow.f64 (hypot.f64 d c) 2)
(sqrt.f64 (pow.f64 (pow.f64 (hypot.f64 d c) 2) 2))
(sqrt.f64 (pow.f64 (hypot.f64 d c) 4))
(log.f64 (exp.f64 (pow.f64 (hypot.f64 d c) 2)))
(pow.f64 (hypot.f64 d c) 2)
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (hypot.f64 d c) 2))))
(pow.f64 (hypot.f64 d c) 2)
(cbrt.f64 (pow.f64 (pow.f64 (hypot.f64 d c) 2) 3))
(pow.f64 (hypot.f64 d c) 2)
(expm1.f64 (log1p.f64 (pow.f64 (hypot.f64 d c) 2)))
(pow.f64 (hypot.f64 d c) 2)
(exp.f64 (log.f64 (pow.f64 (hypot.f64 d c) 2)))
(pow.f64 (hypot.f64 d c) 2)
(exp.f64 (*.f64 (log.f64 (pow.f64 (hypot.f64 d c) 2)) 1))
(pow.f64 (hypot.f64 d c) 2)
(log1p.f64 (expm1.f64 (pow.f64 (hypot.f64 d c) 2)))
(pow.f64 (hypot.f64 d c) 2)

eval355.0ms (2.9%)

Compiler

Compiled 20808 to 10672 computations (48.7% saved)

prune173.0ms (1.4%)

Pruning

35 alts after pruning (31 fresh and 4 done)

PrunedKeptTotal
New93021951
Fresh101020
Picked415
Done033
Total94435979
Accuracy
100.0%
Counts
979 → 35
Alt Table
Click to see full alt table
StatusAccuracyProgram
25.7%
(pow.f64 (/.f64 (sqrt.f64 (*.f64 c a)) (hypot.f64 c d)) 2)
45.5%
(/.f64 (/.f64 (*.f64 d b) (hypot.f64 c d)) (hypot.f64 c d))
45.4%
(/.f64 (/.f64 (*.f64 a c) (hypot.f64 c d)) (hypot.f64 c d))
34.6%
(/.f64 (-.f64 (neg.f64 a) (/.f64 b (/.f64 c d))) (hypot.f64 c d))
61.7%
(/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) (+.f64 (*.f64 c c) (*.f64 d d)))
30.3%
(/.f64 (+.f64 (*.f64 -1 b) (*.f64 -1 (/.f64 (*.f64 a c) d))) (hypot.f64 c d))
28.8%
(/.f64 (+.f64 b (/.f64 (*.f64 a c) d)) (hypot.f64 c d))
31.3%
(/.f64 (+.f64 a (/.f64 (*.f64 b d) c)) (hypot.f64 c d))
32.5%
(/.f64 (+.f64 a (/.f64 b (/.f64 c d))) (hypot.f64 c d))
39.2%
(/.f64 (*.f64 c a) (+.f64 (*.f64 c c) (*.f64 d d)))
38.5%
(/.f64 (*.f64 b d) (pow.f64 (hypot.f64 c d) 2))
38.5%
(/.f64 (*.f64 b d) (+.f64 (*.f64 c c) (*.f64 d d)))
9.5%
(/.f64 (neg.f64 b) d)
9.8%
(/.f64 (neg.f64 b) c)
31.3%
(/.f64 (neg.f64 a) (hypot.f64 c d))
10.1%
(/.f64 (neg.f64 a) d)
40.0%
(/.f64 b d)
9.3%
(/.f64 b c)
29.6%
(/.f64 a (hypot.f64 c d))
52.8%
(/.f64 a (+.f64 c (/.f64 (pow.f64 d 2) c)))
10.2%
(/.f64 a d)
43.1%
(/.f64 a c)
27.5%
(/.f64 1 (/.f64 (hypot.f64 d c) b))
74.4%
(/.f64 1 (*.f64 (/.f64 (hypot.f64 c d) (fma.f64 b d (*.f64 a c))) (hypot.f64 c d)))
48.5%
(+.f64 (/.f64 b d) (/.f64 a (*.f64 (/.f64 d 1) (/.f64 d c))))
45.4%
(+.f64 (/.f64 b d) (*.f64 (/.f64 1 (pow.f64 d 2)) (/.f64 a (/.f64 1 c))))
50.0%
(+.f64 (/.f64 a c) (*.f64 (/.f64 b (pow.f64 c 2)) d))
74.1%
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 b d (*.f64 a c))) 2) (hypot.f64 d c)) (/.f64 (cbrt.f64 (fma.f64 b d (*.f64 a c))) (hypot.f64 d c)))
28.7%
(*.f64 (/.f64 1 (hypot.f64 c d)) (+.f64 b (/.f64 1 (/.f64 d (*.f64 a c)))))
31.2%
(*.f64 (/.f64 1 (hypot.f64 c d)) (neg.f64 a))
50.9%
(*.f64 (/.f64 1 d) (+.f64 b (/.f64 a (/.f64 d c))))
39.8%
(*.f64 (/.f64 1 d) b)
9.3%
(*.f64 (/.f64 1 c) b)
18.7%
(*.f64 c (/.f64 a (pow.f64 d 2)))
19.1%
(*.f64 a (/.f64 c (pow.f64 d 2)))
Compiler

Compiled 886 to 576 computations (35% saved)

localize118.0ms (1%)

Localize:

Found 11 expressions with local error:

NewAccuracyProgram
100.0%
(-.f64 (neg.f64 a) (/.f64 b (/.f64 c d)))
93.0%
(/.f64 b (/.f64 c d))
92.9%
(/.f64 (-.f64 (neg.f64 a) (/.f64 b (/.f64 c d))) (hypot.f64 c d))
99.0%
(/.f64 1 (/.f64 (hypot.f64 d c) b))
100.0%
(+.f64 b (/.f64 a (/.f64 d c)))
98.6%
(*.f64 (/.f64 1 d) (+.f64 b (/.f64 a (/.f64 d c))))
91.0%
(/.f64 a (/.f64 d c))
99.6%
(*.f64 (/.f64 (hypot.f64 c d) (fma.f64 b d (*.f64 a c))) (hypot.f64 c d))
99.2%
(fma.f64 b d (*.f64 a c))
99.2%
(/.f64 1 (*.f64 (/.f64 (hypot.f64 c d) (fma.f64 b d (*.f64 a c))) (hypot.f64 c d)))
75.7%
(/.f64 (hypot.f64 c d) (fma.f64 b d (*.f64 a c)))
Compiler

Compiled 157 to 33 computations (79% saved)

series51.0ms (0.4%)

Counts
8 → 360
Calls

90 calls:

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

rewrite104.0ms (0.9%)

Algorithm
batch-egg-rewrite
Rules
472×associate-*r*
322×times-frac
298×associate-*l*
278×frac-times
260×log1p-expm1-u
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
033355
1563313
Stop Event
node limit
Counts
8 → 276
Calls
Call 1
Inputs
(/.f64 (hypot.f64 c d) (fma.f64 b d (*.f64 a c)))
(/.f64 1 (*.f64 (/.f64 (hypot.f64 c d) (fma.f64 b d (*.f64 a c))) (hypot.f64 c d)))
(*.f64 (/.f64 (hypot.f64 c d) (fma.f64 b d (*.f64 a c))) (hypot.f64 c d))
(*.f64 (/.f64 1 d) (+.f64 b (/.f64 a (/.f64 d c))))
(/.f64 1 (/.f64 (hypot.f64 d c) b))
(/.f64 (-.f64 (neg.f64 a) (/.f64 b (/.f64 c d))) (hypot.f64 c d))
(/.f64 b (/.f64 c d))
(-.f64 (neg.f64 a) (/.f64 b (/.f64 c d)))
Outputs
(-.f64 (exp.f64 (log1p.f64 (/.f64 (hypot.f64 c d) (fma.f64 b d (*.f64 c a))))) 1)
(*.f64 (hypot.f64 c d) (/.f64 1 (fma.f64 b d (*.f64 c a))))
(*.f64 1 (/.f64 (hypot.f64 c d) (fma.f64 b d (*.f64 c a))))
(*.f64 (pow.f64 (cbrt.f64 (hypot.f64 c d)) 2) (*.f64 (cbrt.f64 (hypot.f64 c d)) (/.f64 1 (fma.f64 b d (*.f64 c a)))))
(*.f64 (cbrt.f64 (/.f64 (hypot.f64 c d) (fma.f64 b d (*.f64 c a)))) (pow.f64 (cbrt.f64 (/.f64 (hypot.f64 c d) (fma.f64 b d (*.f64 c a)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (hypot.f64 c d) (fma.f64 b d (*.f64 c a)))) 2) (cbrt.f64 (/.f64 (hypot.f64 c d) (fma.f64 b d (*.f64 c a)))))
(*.f64 (sqrt.f64 (hypot.f64 c d)) (*.f64 (sqrt.f64 (hypot.f64 c d)) (/.f64 1 (fma.f64 b d (*.f64 c a)))))
(*.f64 (sqrt.f64 (/.f64 (hypot.f64 c d) (fma.f64 b d (*.f64 c a)))) (sqrt.f64 (/.f64 (hypot.f64 c d) (fma.f64 b d (*.f64 c a)))))
(*.f64 (neg.f64 (hypot.f64 c d)) (/.f64 1 (neg.f64 (fma.f64 b d (*.f64 c a)))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (fma.f64 b d (*.f64 c a))) 2)) (/.f64 (hypot.f64 c d) (cbrt.f64 (fma.f64 b d (*.f64 c a)))))
(*.f64 (/.f64 1 (sqrt.f64 (fma.f64 b d (*.f64 c a)))) (/.f64 (hypot.f64 c d) (sqrt.f64 (fma.f64 b d (*.f64 c a)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (hypot.f64 c d)) 2) 1) (/.f64 (cbrt.f64 (hypot.f64 c d)) (fma.f64 b d (*.f64 c a))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (hypot.f64 c d)) 2) (pow.f64 (cbrt.f64 (fma.f64 b d (*.f64 c a))) 2)) (cbrt.f64 (/.f64 (hypot.f64 c d) (fma.f64 b d (*.f64 c a)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (hypot.f64 c d)) 2) (sqrt.f64 (fma.f64 b d (*.f64 c a)))) (/.f64 (cbrt.f64 (hypot.f64 c d)) (sqrt.f64 (fma.f64 b d (*.f64 c a)))))
(*.f64 (/.f64 (sqrt.f64 (hypot.f64 c d)) 1) (/.f64 (sqrt.f64 (hypot.f64 c d)) (fma.f64 b d (*.f64 c a))))
(*.f64 (/.f64 (sqrt.f64 (hypot.f64 c d)) (pow.f64 (cbrt.f64 (fma.f64 b d (*.f64 c a))) 2)) (/.f64 (sqrt.f64 (hypot.f64 c d)) (cbrt.f64 (fma.f64 b d (*.f64 c a)))))
(pow.f64 (/.f64 (hypot.f64 c d) (fma.f64 b d (*.f64 c a))) 1)
(pow.f64 (cbrt.f64 (/.f64 (hypot.f64 c d) (fma.f64 b d (*.f64 c a)))) 3)
(pow.f64 (pow.f64 (/.f64 (hypot.f64 c d) (fma.f64 b d (*.f64 c a))) 3) 1/3)
(pow.f64 (sqrt.f64 (/.f64 (hypot.f64 c d) (fma.f64 b d (*.f64 c a)))) 2)
(pow.f64 (/.f64 (fma.f64 b d (*.f64 c a)) (hypot.f64 c d)) -1)
(neg.f64 (/.f64 (hypot.f64 c d) (neg.f64 (fma.f64 b d (*.f64 c a)))))
(sqrt.f64 (pow.f64 (/.f64 (hypot.f64 c d) (fma.f64 b d (*.f64 c a))) 2))
(log.f64 (exp.f64 (/.f64 (hypot.f64 c d) (fma.f64 b d (*.f64 c a)))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (hypot.f64 c d) (fma.f64 b d (*.f64 c a))))))
(cbrt.f64 (pow.f64 (/.f64 (hypot.f64 c d) (fma.f64 b d (*.f64 c a))) 3))
(cbrt.f64 (/.f64 (pow.f64 (hypot.f64 c d) 3) (pow.f64 (fma.f64 b d (*.f64 c a)) 3)))
(expm1.f64 (log1p.f64 (/.f64 (hypot.f64 c d) (fma.f64 b d (*.f64 c a)))))
(exp.f64 (log.f64 (/.f64 (hypot.f64 c d) (fma.f64 b d (*.f64 c a)))))
(exp.f64 (*.f64 (log.f64 (/.f64 (hypot.f64 c d) (fma.f64 b d (*.f64 c a)))) 1))
(log1p.f64 (expm1.f64 (/.f64 (hypot.f64 c d) (fma.f64 b d (*.f64 c a)))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 1 (/.f64 (pow.f64 (hypot.f64 c d) 2) (fma.f64 b d (*.f64 c a)))))) 1)
(*.f64 1 (/.f64 1 (/.f64 (pow.f64 (hypot.f64 c d) 2) (fma.f64 b d (*.f64 c a)))))
(*.f64 -1 (/.f64 1 (/.f64 (neg.f64 (pow.f64 (hypot.f64 c d) 2)) (fma.f64 b d (*.f64 c a)))))
(*.f64 (/.f64 1 (cbrt.f64 (/.f64 (pow.f64 (hypot.f64 c d) 2) (fma.f64 b d (*.f64 c a))))) (cbrt.f64 (pow.f64 (/.f64 (pow.f64 (hypot.f64 c d) 2) (fma.f64 b d (*.f64 c a))) -2)))
(*.f64 (cbrt.f64 (pow.f64 (/.f64 (pow.f64 (hypot.f64 c d) 2) (fma.f64 b d (*.f64 c a))) -2)) (/.f64 1 (cbrt.f64 (/.f64 (pow.f64 (hypot.f64 c d) 2) (fma.f64 b d (*.f64 c a))))))
(*.f64 (/.f64 1 (/.f64 (hypot.f64 c d) (sqrt.f64 (fma.f64 b d (*.f64 c a))))) (/.f64 1 (/.f64 (hypot.f64 c d) (sqrt.f64 (fma.f64 b d (*.f64 c a))))))
(*.f64 (/.f64 1 (hypot.f64 c d)) (/.f64 (fma.f64 b d (*.f64 c a)) (hypot.f64 c d)))
(*.f64 (/.f64 (fma.f64 b d (*.f64 c a)) (hypot.f64 c d)) (/.f64 1 (hypot.f64 c d)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (/.f64 (pow.f64 (hypot.f64 c d) 2) (fma.f64 b d (*.f64 c a)))) 2) -1) (pow.f64 (cbrt.f64 (/.f64 (pow.f64 (hypot.f64 c d) 2) (fma.f64 b d (*.f64 c a)))) -1))
(*.f64 (pow.f64 (/.f64 (hypot.f64 c d) (sqrt.f64 (fma.f64 b d (*.f64 c a)))) -1) (pow.f64 (/.f64 (hypot.f64 c d) (sqrt.f64 (fma.f64 b d (*.f64 c a)))) -1))
(pow.f64 (/.f64 (pow.f64 (hypot.f64 c d) 2) (fma.f64 b d (*.f64 c a))) -1)
(pow.f64 (/.f64 1 (/.f64 (pow.f64 (hypot.f64 c d) 2) (fma.f64 b d (*.f64 c a)))) 1)
(pow.f64 (/.f64 1 (cbrt.f64 (/.f64 (pow.f64 (hypot.f64 c d) 2) (fma.f64 b d (*.f64 c a))))) 3)
(pow.f64 (pow.f64 (/.f64 1 (/.f64 (pow.f64 (hypot.f64 c d) 2) (fma.f64 b d (*.f64 c a)))) 3) 1/3)
(pow.f64 (/.f64 1 (/.f64 (hypot.f64 c d) (sqrt.f64 (fma.f64 b d (*.f64 c a))))) 2)
(sqrt.f64 (pow.f64 (/.f64 (pow.f64 (hypot.f64 c d) 2) (fma.f64 b d (*.f64 c a))) -2))
(log.f64 (exp.f64 (/.f64 1 (/.f64 (pow.f64 (hypot.f64 c d) 2) (fma.f64 b d (*.f64 c a))))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (/.f64 (pow.f64 (hypot.f64 c d) 2) (fma.f64 b d (*.f64 c a)))))))
(cbrt.f64 (pow.f64 (/.f64 1 (/.f64 (pow.f64 (hypot.f64 c d) 2) (fma.f64 b d (*.f64 c a)))) 3))
(expm1.f64 (log1p.f64 (/.f64 1 (/.f64 (pow.f64 (hypot.f64 c d) 2) (fma.f64 b d (*.f64 c a))))))
(exp.f64 (neg.f64 (log.f64 (/.f64 (pow.f64 (hypot.f64 c d) 2) (fma.f64 b d (*.f64 c a))))))
(exp.f64 (*.f64 (log.f64 (/.f64 (pow.f64 (hypot.f64 c d) 2) (fma.f64 b d (*.f64 c a)))) -1))
(exp.f64 (*.f64 (neg.f64 (log.f64 (/.f64 (pow.f64 (hypot.f64 c d) 2) (fma.f64 b d (*.f64 c a))))) 1))
(log1p.f64 (expm1.f64 (/.f64 1 (/.f64 (pow.f64 (hypot.f64 c d) 2) (fma.f64 b d (*.f64 c a))))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (pow.f64 (hypot.f64 c d) 2) (fma.f64 b d (*.f64 c a))))) 1)
(/.f64 (hypot.f64 c d) (/.f64 (fma.f64 b d (*.f64 c a)) (hypot.f64 c d)))
(/.f64 1 (/.f64 1 (/.f64 (pow.f64 (hypot.f64 c d) 2) (fma.f64 b d (*.f64 c a)))))
(/.f64 1 (/.f64 (fma.f64 b d (*.f64 c a)) (pow.f64 (hypot.f64 c d) 2)))
(/.f64 (/.f64 (pow.f64 (hypot.f64 c d) 2) (fma.f64 b d (*.f64 c a))) 1)
(/.f64 (pow.f64 (hypot.f64 c d) 2) (fma.f64 b d (*.f64 c a)))
(/.f64 (/.f64 (neg.f64 (pow.f64 (hypot.f64 c d) 2)) (fma.f64 b d (*.f64 c a))) -1)
(/.f64 (neg.f64 (pow.f64 (hypot.f64 c d) 2)) (neg.f64 (fma.f64 b d (*.f64 c a))))
(pow.f64 (/.f64 (pow.f64 (hypot.f64 c d) 2) (fma.f64 b d (*.f64 c a))) 1)
(pow.f64 (cbrt.f64 (/.f64 (pow.f64 (hypot.f64 c d) 2) (fma.f64 b d (*.f64 c a)))) 3)
(pow.f64 (pow.f64 (/.f64 (pow.f64 (hypot.f64 c d) 2) (fma.f64 b d (*.f64 c a))) 3) 1/3)
(pow.f64 (/.f64 (hypot.f64 c d) (sqrt.f64 (fma.f64 b d (*.f64 c a)))) 2)
(sqrt.f64 (pow.f64 (/.f64 (pow.f64 (hypot.f64 c d) 2) (fma.f64 b d (*.f64 c a))) 2))
(log.f64 (exp.f64 (/.f64 (pow.f64 (hypot.f64 c d) 2) (fma.f64 b d (*.f64 c a)))))
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(+.f64 (fma.f64 (pow.f64 (cbrt.f64 a) 2) (cbrt.f64 a) (neg.f64 (*.f64 (*.f64 b (/.f64 d c)) 1))) (fma.f64 (/.f64 (neg.f64 b) (/.f64 c d)) 1 (*.f64 (*.f64 b (/.f64 d c)) 1)))
(+.f64 (fma.f64 (pow.f64 (cbrt.f64 a) 2) (cbrt.f64 a) (neg.f64 (*.f64 d (/.f64 b c)))) (fma.f64 (neg.f64 d) (/.f64 b c) (*.f64 d (/.f64 b c))))
(+.f64 (fma.f64 (sqrt.f64 a) (sqrt.f64 a) (neg.f64 (*.f64 (/.f64 d c) b))) (fma.f64 (/.f64 (neg.f64 d) c) b (*.f64 (/.f64 d c) b)))
(+.f64 (fma.f64 (sqrt.f64 a) (sqrt.f64 a) (neg.f64 (*.f64 (*.f64 b (/.f64 d c)) 1))) (fma.f64 (/.f64 (neg.f64 b) (/.f64 c d)) 1 (*.f64 (*.f64 b (/.f64 d c)) 1)))
(+.f64 (fma.f64 (sqrt.f64 a) (sqrt.f64 a) (neg.f64 (*.f64 d (/.f64 b c)))) (fma.f64 (neg.f64 d) (/.f64 b c) (*.f64 d (/.f64 b c))))
(+.f64 (*.f64 a 1) (*.f64 (/.f64 (neg.f64 b) (/.f64 c d)) 1))
(*.f64 1 (-.f64 a (*.f64 b (/.f64 d c))))
(*.f64 (cbrt.f64 (-.f64 a (*.f64 b (/.f64 d c)))) (pow.f64 (cbrt.f64 (-.f64 a (*.f64 b (/.f64 d c)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 a (*.f64 b (/.f64 d c)))) 2) (cbrt.f64 (-.f64 a (*.f64 b (/.f64 d c)))))
(*.f64 (sqrt.f64 (-.f64 a (*.f64 b (/.f64 d c)))) (sqrt.f64 (-.f64 a (*.f64 b (/.f64 d c)))))
(*.f64 (-.f64 (pow.f64 a 3) (pow.f64 (*.f64 b (/.f64 d c)) 3)) (/.f64 1 (fma.f64 a a (*.f64 (*.f64 b (/.f64 d c)) (+.f64 (*.f64 b (/.f64 d c)) a)))))
(*.f64 (-.f64 (pow.f64 a 2) (pow.f64 (*.f64 b (/.f64 d c)) 2)) (/.f64 1 (+.f64 a (*.f64 b (/.f64 d c)))))
(*.f64 (+.f64 (sqrt.f64 a) (sqrt.f64 (*.f64 b (/.f64 d c)))) (-.f64 (sqrt.f64 a) (sqrt.f64 (*.f64 b (/.f64 d c)))))
(/.f64 1 (/.f64 (fma.f64 a a (*.f64 (*.f64 b (/.f64 d c)) (+.f64 (*.f64 b (/.f64 d c)) a))) (-.f64 (pow.f64 a 3) (pow.f64 (*.f64 b (/.f64 d c)) 3))))
(/.f64 1 (/.f64 (+.f64 a (*.f64 b (/.f64 d c))) (-.f64 (pow.f64 a 2) (pow.f64 (*.f64 b (/.f64 d c)) 2))))
(/.f64 (-.f64 (pow.f64 a 3) (pow.f64 (*.f64 b (/.f64 d c)) 3)) (fma.f64 a a (*.f64 (*.f64 b (/.f64 d c)) (+.f64 (*.f64 b (/.f64 d c)) a))))
(/.f64 (-.f64 (pow.f64 a 2) (pow.f64 (*.f64 b (/.f64 d c)) 2)) (+.f64 a (*.f64 b (/.f64 d c))))
(/.f64 (neg.f64 (-.f64 (pow.f64 a 3) (pow.f64 (*.f64 b (/.f64 d c)) 3))) (neg.f64 (fma.f64 a a (*.f64 (*.f64 b (/.f64 d c)) (+.f64 (*.f64 b (/.f64 d c)) a)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 a 2) (pow.f64 (*.f64 b (/.f64 d c)) 2))) (-.f64 a (*.f64 b (/.f64 d c))))
(/.f64 (+.f64 (pow.f64 a 3) (pow.f64 (/.f64 (neg.f64 b) (/.f64 c d)) 3)) (+.f64 (pow.f64 a 2) (-.f64 (*.f64 (/.f64 (neg.f64 b) (/.f64 c d)) (/.f64 (neg.f64 b) (/.f64 c d))) (*.f64 a (/.f64 (neg.f64 b) (/.f64 c d))))))
(/.f64 (-.f64 (pow.f64 a 2) (*.f64 (/.f64 (neg.f64 b) (/.f64 c d)) (/.f64 (neg.f64 b) (/.f64 c d)))) (-.f64 a (/.f64 (neg.f64 b) (/.f64 c d))))
(pow.f64 (-.f64 a (*.f64 b (/.f64 d c))) 1)
(pow.f64 (cbrt.f64 (-.f64 a (*.f64 b (/.f64 d c)))) 3)
(pow.f64 (pow.f64 (-.f64 a (*.f64 b (/.f64 d c))) 3) 1/3)
(pow.f64 (sqrt.f64 (-.f64 a (*.f64 b (/.f64 d c)))) 2)
(neg.f64 (+.f64 a (*.f64 b (/.f64 d c))))
(sqrt.f64 (pow.f64 (-.f64 a (*.f64 b (/.f64 d c))) 2))
(log.f64 (exp.f64 (-.f64 a (*.f64 b (/.f64 d c)))))
(log.f64 (+.f64 1 (expm1.f64 (-.f64 a (*.f64 b (/.f64 d c))))))
(cbrt.f64 (pow.f64 (-.f64 a (*.f64 b (/.f64 d c))) 3))
(expm1.f64 (log1p.f64 (-.f64 a (*.f64 b (/.f64 d c)))))
(exp.f64 (log.f64 (-.f64 a (*.f64 b (/.f64 d c)))))
(exp.f64 (*.f64 (log.f64 (-.f64 a (*.f64 b (/.f64 d c)))) 1))
(log1p.f64 (expm1.f64 (-.f64 a (*.f64 b (/.f64 d c)))))
(fma.f64 1 a (/.f64 (neg.f64 b) (/.f64 c d)))
(fma.f64 -1 a (/.f64 (neg.f64 b) (/.f64 c d)))
(fma.f64 (pow.f64 (cbrt.f64 a) 2) (cbrt.f64 a) (/.f64 (neg.f64 b) (/.f64 c d)))
(fma.f64 (sqrt.f64 a) (sqrt.f64 a) (/.f64 (neg.f64 b) (/.f64 c d)))

simplify336.0ms (2.8%)

Algorithm
egg-herbie
Rules
1548×fma-def
602×*-commutative
598×associate-+r+
510×associate-+l+
396×sqr-pow
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0113143303
1354639791
Stop Event
node limit
Counts
636 → 655
Calls
Call 1
Inputs
(/.f64 1 b)
(+.f64 (*.f64 -1 (/.f64 (*.f64 a c) (*.f64 (pow.f64 b 2) d))) (/.f64 1 b))
(+.f64 (*.f64 -1 (/.f64 (*.f64 a c) (*.f64 (pow.f64 b 2) d))) (+.f64 (*.f64 (pow.f64 c 2) (-.f64 (*.f64 1/2 (/.f64 1 (*.f64 b (pow.f64 d 2)))) (*.f64 -1 (/.f64 (pow.f64 a 2) (*.f64 (pow.f64 b 3) (pow.f64 d 2)))))) (/.f64 1 b)))
(+.f64 (*.f64 -1 (/.f64 (*.f64 a c) (*.f64 (pow.f64 b 2) d))) (+.f64 (*.f64 -1 (/.f64 (*.f64 a (*.f64 (pow.f64 c 3) (-.f64 (*.f64 1/2 (/.f64 1 (*.f64 b (pow.f64 d 2)))) (*.f64 -1 (/.f64 (pow.f64 a 2) (*.f64 (pow.f64 b 3) (pow.f64 d 2))))))) (*.f64 b d))) (+.f64 (*.f64 (pow.f64 c 2) (-.f64 (*.f64 1/2 (/.f64 1 (*.f64 b (pow.f64 d 2)))) (*.f64 -1 (/.f64 (pow.f64 a 2) (*.f64 (pow.f64 b 3) (pow.f64 d 2)))))) (/.f64 1 b))))
(/.f64 1 a)
(+.f64 (*.f64 -1 (/.f64 (*.f64 b d) (*.f64 (pow.f64 a 2) c))) (/.f64 1 a))
(-.f64 (+.f64 (*.f64 -1 (/.f64 (*.f64 b d) (*.f64 (pow.f64 a 2) c))) (+.f64 (*.f64 1/2 (/.f64 (pow.f64 d 2) (*.f64 a (pow.f64 c 2)))) (/.f64 1 a))) (*.f64 -1 (/.f64 (*.f64 (pow.f64 b 2) (pow.f64 d 2)) (*.f64 (pow.f64 a 3) (pow.f64 c 2)))))
(-.f64 (+.f64 (*.f64 -1 (/.f64 (*.f64 b d) (*.f64 (pow.f64 a 2) c))) (+.f64 (*.f64 -1 (/.f64 (*.f64 b (*.f64 d (-.f64 (*.f64 1/2 (/.f64 (pow.f64 d 2) a)) (*.f64 -1 (/.f64 (*.f64 (pow.f64 b 2) (pow.f64 d 2)) (pow.f64 a 3)))))) (*.f64 a (pow.f64 c 3)))) (+.f64 (*.f64 1/2 (/.f64 (pow.f64 d 2) (*.f64 a (pow.f64 c 2)))) (/.f64 1 a)))) (*.f64 -1 (/.f64 (*.f64 (pow.f64 b 2) (pow.f64 d 2)) (*.f64 (pow.f64 a 3) (pow.f64 c 2)))))
(/.f64 -1 a)
(-.f64 (/.f64 (*.f64 b d) (*.f64 (pow.f64 a 2) c)) (/.f64 1 a))
(-.f64 (+.f64 (*.f64 -1/2 (/.f64 (pow.f64 d 2) (*.f64 a (pow.f64 c 2)))) (/.f64 (*.f64 b d) (*.f64 (pow.f64 a 2) c))) (+.f64 (/.f64 1 a) (/.f64 (*.f64 (pow.f64 b 2) (pow.f64 d 2)) (*.f64 (pow.f64 a 3) (pow.f64 c 2)))))
(-.f64 (+.f64 (*.f64 -1 (/.f64 (*.f64 b (*.f64 d (-.f64 (*.f64 -1/2 (/.f64 (pow.f64 d 2) a)) (/.f64 (*.f64 (pow.f64 b 2) (pow.f64 d 2)) (pow.f64 a 3))))) (*.f64 a (pow.f64 c 3)))) (+.f64 (*.f64 -1/2 (/.f64 (pow.f64 d 2) (*.f64 a (pow.f64 c 2)))) (/.f64 (*.f64 b d) (*.f64 (pow.f64 a 2) c)))) (+.f64 (/.f64 1 a) (/.f64 (*.f64 (pow.f64 b 2) (pow.f64 d 2)) (*.f64 (pow.f64 a 3) (pow.f64 c 2)))))
(/.f64 1 a)
(+.f64 (*.f64 -1 (/.f64 (*.f64 b d) (*.f64 (pow.f64 a 2) c))) (/.f64 1 a))
(+.f64 (*.f64 -1 (/.f64 (*.f64 b d) (*.f64 (pow.f64 a 2) c))) (+.f64 (*.f64 (pow.f64 d 2) (-.f64 (*.f64 1/2 (/.f64 1 (*.f64 a (pow.f64 c 2)))) (*.f64 -1 (/.f64 (pow.f64 b 2) (*.f64 (pow.f64 a 3) (pow.f64 c 2)))))) (/.f64 1 a)))
(+.f64 (*.f64 -1 (/.f64 (*.f64 b d) (*.f64 (pow.f64 a 2) c))) (+.f64 (*.f64 -1 (/.f64 (*.f64 b (*.f64 (pow.f64 d 3) (-.f64 (*.f64 1/2 (/.f64 1 (*.f64 a (pow.f64 c 2)))) (*.f64 -1 (/.f64 (pow.f64 b 2) (*.f64 (pow.f64 a 3) (pow.f64 c 2))))))) (*.f64 a c))) (+.f64 (*.f64 (pow.f64 d 2) (-.f64 (*.f64 1/2 (/.f64 1 (*.f64 a (pow.f64 c 2)))) (*.f64 -1 (/.f64 (pow.f64 b 2) (*.f64 (pow.f64 a 3) (pow.f64 c 2)))))) (/.f64 1 a))))
(/.f64 1 b)
(+.f64 (*.f64 -1 (/.f64 (*.f64 a c) (*.f64 (pow.f64 b 2) d))) (/.f64 1 b))
(-.f64 (+.f64 (*.f64 -1 (/.f64 (*.f64 a c) (*.f64 (pow.f64 b 2) d))) (+.f64 (*.f64 1/2 (/.f64 (pow.f64 c 2) (*.f64 b (pow.f64 d 2)))) (/.f64 1 b))) (*.f64 -1 (/.f64 (*.f64 (pow.f64 a 2) (pow.f64 c 2)) (*.f64 (pow.f64 b 3) (pow.f64 d 2)))))
(-.f64 (+.f64 (*.f64 -1 (/.f64 (*.f64 a c) (*.f64 (pow.f64 b 2) d))) (+.f64 (*.f64 -1 (/.f64 (*.f64 a (*.f64 c (-.f64 (*.f64 1/2 (/.f64 (pow.f64 c 2) b)) (*.f64 -1 (/.f64 (*.f64 (pow.f64 a 2) (pow.f64 c 2)) (pow.f64 b 3)))))) (*.f64 b (pow.f64 d 3)))) (+.f64 (*.f64 1/2 (/.f64 (pow.f64 c 2) (*.f64 b (pow.f64 d 2)))) (/.f64 1 b)))) (*.f64 -1 (/.f64 (*.f64 (pow.f64 a 2) (pow.f64 c 2)) (*.f64 (pow.f64 b 3) (pow.f64 d 2)))))
(/.f64 -1 b)
(-.f64 (/.f64 (*.f64 a c) (*.f64 (pow.f64 b 2) d)) (/.f64 1 b))
(-.f64 (+.f64 (*.f64 -1/2 (/.f64 (pow.f64 c 2) (*.f64 b (pow.f64 d 2)))) (/.f64 (*.f64 a c) (*.f64 (pow.f64 b 2) d))) (+.f64 (/.f64 1 b) (/.f64 (*.f64 (pow.f64 a 2) (pow.f64 c 2)) (*.f64 (pow.f64 b 3) (pow.f64 d 2)))))
(-.f64 (+.f64 (*.f64 -1 (/.f64 (*.f64 a (*.f64 c (-.f64 (*.f64 -1/2 (/.f64 (pow.f64 c 2) b)) (/.f64 (*.f64 (pow.f64 a 2) (pow.f64 c 2)) (pow.f64 b 3))))) (*.f64 b (pow.f64 d 3)))) (+.f64 (*.f64 -1/2 (/.f64 (pow.f64 c 2) (*.f64 b (pow.f64 d 2)))) (/.f64 (*.f64 a c) (*.f64 (pow.f64 b 2) d)))) (+.f64 (/.f64 1 b) (/.f64 (*.f64 (pow.f64 a 2) (pow.f64 c 2)) (*.f64 (pow.f64 b 3) (pow.f64 d 2)))))
(*.f64 (/.f64 1 (*.f64 a c)) (sqrt.f64 (+.f64 (pow.f64 c 2) (pow.f64 d 2))))
(+.f64 (*.f64 -1 (*.f64 (/.f64 (*.f64 b d) (*.f64 (pow.f64 a 2) (pow.f64 c 2))) (sqrt.f64 (+.f64 (pow.f64 c 2) (pow.f64 d 2))))) (*.f64 (/.f64 1 (*.f64 a c)) (sqrt.f64 (+.f64 (pow.f64 c 2) (pow.f64 d 2)))))
(+.f64 (*.f64 -1 (*.f64 (/.f64 (*.f64 b d) (*.f64 (pow.f64 a 2) (pow.f64 c 2))) (sqrt.f64 (+.f64 (pow.f64 c 2) (pow.f64 d 2))))) (+.f64 (*.f64 (/.f64 1 (*.f64 a c)) (sqrt.f64 (+.f64 (pow.f64 c 2) (pow.f64 d 2)))) (*.f64 (/.f64 (*.f64 (pow.f64 b 2) (pow.f64 d 2)) (*.f64 (pow.f64 a 3) (pow.f64 c 3))) (sqrt.f64 (+.f64 (pow.f64 c 2) (pow.f64 d 2))))))
(+.f64 (*.f64 -1 (*.f64 (/.f64 (*.f64 b d) (*.f64 (pow.f64 a 2) (pow.f64 c 2))) (sqrt.f64 (+.f64 (pow.f64 c 2) (pow.f64 d 2))))) (+.f64 (*.f64 -1 (*.f64 (/.f64 (*.f64 (pow.f64 b 3) (pow.f64 d 3)) (*.f64 (pow.f64 a 4) (pow.f64 c 4))) (sqrt.f64 (+.f64 (pow.f64 c 2) (pow.f64 d 2))))) (+.f64 (*.f64 (/.f64 1 (*.f64 a c)) (sqrt.f64 (+.f64 (pow.f64 c 2) (pow.f64 d 2)))) (*.f64 (/.f64 (*.f64 (pow.f64 b 2) (pow.f64 d 2)) (*.f64 (pow.f64 a 3) (pow.f64 c 3))) (sqrt.f64 (+.f64 (pow.f64 c 2) (pow.f64 d 2)))))))
(*.f64 (/.f64 1 (*.f64 b d)) (sqrt.f64 (+.f64 (pow.f64 c 2) (pow.f64 d 2))))
(+.f64 (*.f64 -1 (*.f64 (/.f64 (*.f64 a c) (*.f64 (pow.f64 b 2) (pow.f64 d 2))) (sqrt.f64 (+.f64 (pow.f64 c 2) (pow.f64 d 2))))) (*.f64 (/.f64 1 (*.f64 b d)) (sqrt.f64 (+.f64 (pow.f64 c 2) (pow.f64 d 2)))))
(+.f64 (*.f64 -1 (*.f64 (/.f64 (*.f64 a c) (*.f64 (pow.f64 b 2) (pow.f64 d 2))) (sqrt.f64 (+.f64 (pow.f64 c 2) (pow.f64 d 2))))) (+.f64 (*.f64 (/.f64 1 (*.f64 b d)) (sqrt.f64 (+.f64 (pow.f64 c 2) (pow.f64 d 2)))) (*.f64 (/.f64 (*.f64 (pow.f64 a 2) (pow.f64 c 2)) (*.f64 (pow.f64 b 3) (pow.f64 d 3))) (sqrt.f64 (+.f64 (pow.f64 c 2) (pow.f64 d 2))))))
(+.f64 (*.f64 -1 (*.f64 (/.f64 (*.f64 a c) (*.f64 (pow.f64 b 2) (pow.f64 d 2))) (sqrt.f64 (+.f64 (pow.f64 c 2) (pow.f64 d 2))))) (+.f64 (*.f64 -1 (*.f64 (/.f64 (*.f64 (pow.f64 a 3) (pow.f64 c 3)) (*.f64 (pow.f64 b 4) (pow.f64 d 4))) (sqrt.f64 (+.f64 (pow.f64 c 2) (pow.f64 d 2))))) (+.f64 (*.f64 (/.f64 1 (*.f64 b d)) (sqrt.f64 (+.f64 (pow.f64 c 2) (pow.f64 d 2)))) (*.f64 (/.f64 (*.f64 (pow.f64 a 2) (pow.f64 c 2)) (*.f64 (pow.f64 b 3) (pow.f64 d 3))) (sqrt.f64 (+.f64 (pow.f64 c 2) (pow.f64 d 2)))))))
(*.f64 (/.f64 1 (*.f64 b d)) (sqrt.f64 (+.f64 (pow.f64 c 2) (pow.f64 d 2))))
(+.f64 (*.f64 -1 (*.f64 (/.f64 (*.f64 a c) (*.f64 (pow.f64 b 2) (pow.f64 d 2))) (sqrt.f64 (+.f64 (pow.f64 c 2) (pow.f64 d 2))))) (*.f64 (/.f64 1 (*.f64 b d)) (sqrt.f64 (+.f64 (pow.f64 c 2) (pow.f64 d 2)))))
(+.f64 (*.f64 -1 (*.f64 (/.f64 (*.f64 a c) (*.f64 (pow.f64 b 2) (pow.f64 d 2))) (sqrt.f64 (+.f64 (pow.f64 c 2) (pow.f64 d 2))))) (+.f64 (*.f64 (/.f64 1 (*.f64 b d)) (sqrt.f64 (+.f64 (pow.f64 c 2) (pow.f64 d 2)))) (*.f64 (/.f64 (*.f64 (pow.f64 a 2) (pow.f64 c 2)) (*.f64 (pow.f64 b 3) (pow.f64 d 3))) (sqrt.f64 (+.f64 (pow.f64 c 2) (pow.f64 d 2))))))
(+.f64 (*.f64 -1 (*.f64 (/.f64 (*.f64 a c) (*.f64 (pow.f64 b 2) (pow.f64 d 2))) (sqrt.f64 (+.f64 (pow.f64 c 2) (pow.f64 d 2))))) (+.f64 (*.f64 -1 (*.f64 (/.f64 (*.f64 (pow.f64 a 3) (pow.f64 c 3)) (*.f64 (pow.f64 b 4) (pow.f64 d 4))) (sqrt.f64 (+.f64 (pow.f64 c 2) (pow.f64 d 2))))) (+.f64 (*.f64 (/.f64 1 (*.f64 b d)) (sqrt.f64 (+.f64 (pow.f64 c 2) (pow.f64 d 2)))) (*.f64 (/.f64 (*.f64 (pow.f64 a 2) (pow.f64 c 2)) (*.f64 (pow.f64 b 3) (pow.f64 d 3))) (sqrt.f64 (+.f64 (pow.f64 c 2) (pow.f64 d 2)))))))
(*.f64 (/.f64 1 (*.f64 b d)) (sqrt.f64 (+.f64 (pow.f64 c 2) (pow.f64 d 2))))
(+.f64 (*.f64 -1 (*.f64 (/.f64 (*.f64 a c) (*.f64 (pow.f64 b 2) (pow.f64 d 2))) (sqrt.f64 (+.f64 (pow.f64 c 2) (pow.f64 d 2))))) (*.f64 (/.f64 1 (*.f64 b d)) (sqrt.f64 (+.f64 (pow.f64 c 2) (pow.f64 d 2)))))
(+.f64 (*.f64 -1 (*.f64 (/.f64 (*.f64 a c) (*.f64 (pow.f64 b 2) (pow.f64 d 2))) (sqrt.f64 (+.f64 (pow.f64 c 2) (pow.f64 d 2))))) (+.f64 (*.f64 (/.f64 1 (*.f64 b d)) (sqrt.f64 (+.f64 (pow.f64 c 2) (pow.f64 d 2)))) (*.f64 (/.f64 (*.f64 (pow.f64 a 2) (pow.f64 c 2)) (*.f64 (pow.f64 b 3) (pow.f64 d 3))) (sqrt.f64 (+.f64 (pow.f64 c 2) (pow.f64 d 2))))))
(+.f64 (*.f64 -1 (*.f64 (/.f64 (*.f64 a c) (*.f64 (pow.f64 b 2) (pow.f64 d 2))) (sqrt.f64 (+.f64 (pow.f64 c 2) (pow.f64 d 2))))) (+.f64 (*.f64 -1 (*.f64 (/.f64 (*.f64 (pow.f64 a 3) (pow.f64 c 3)) (*.f64 (pow.f64 b 4) (pow.f64 d 4))) (sqrt.f64 (+.f64 (pow.f64 c 2) (pow.f64 d 2))))) (+.f64 (*.f64 (/.f64 1 (*.f64 b d)) (sqrt.f64 (+.f64 (pow.f64 c 2) (pow.f64 d 2)))) (*.f64 (/.f64 (*.f64 (pow.f64 a 2) (pow.f64 c 2)) (*.f64 (pow.f64 b 3) (pow.f64 d 3))) (sqrt.f64 (+.f64 (pow.f64 c 2) (pow.f64 d 2)))))))
(*.f64 (/.f64 1 (*.f64 a c)) (sqrt.f64 (+.f64 (pow.f64 c 2) (pow.f64 d 2))))
(+.f64 (*.f64 -1 (*.f64 (/.f64 (*.f64 b d) (*.f64 (pow.f64 a 2) (pow.f64 c 2))) (sqrt.f64 (+.f64 (pow.f64 c 2) (pow.f64 d 2))))) (*.f64 (/.f64 1 (*.f64 a c)) (sqrt.f64 (+.f64 (pow.f64 c 2) (pow.f64 d 2)))))
(+.f64 (*.f64 -1 (*.f64 (/.f64 (*.f64 b d) (*.f64 (pow.f64 a 2) (pow.f64 c 2))) (sqrt.f64 (+.f64 (pow.f64 c 2) (pow.f64 d 2))))) (+.f64 (*.f64 (/.f64 1 (*.f64 a c)) (sqrt.f64 (+.f64 (pow.f64 c 2) (pow.f64 d 2)))) (*.f64 (/.f64 (*.f64 (pow.f64 b 2) (pow.f64 d 2)) (*.f64 (pow.f64 a 3) (pow.f64 c 3))) (sqrt.f64 (+.f64 (pow.f64 c 2) (pow.f64 d 2))))))
(+.f64 (*.f64 -1 (*.f64 (/.f64 (*.f64 b d) (*.f64 (pow.f64 a 2) (pow.f64 c 2))) (sqrt.f64 (+.f64 (pow.f64 c 2) (pow.f64 d 2))))) (+.f64 (*.f64 -1 (*.f64 (/.f64 (*.f64 (pow.f64 b 3) (pow.f64 d 3)) (*.f64 (pow.f64 a 4) (pow.f64 c 4))) (sqrt.f64 (+.f64 (pow.f64 c 2) (pow.f64 d 2))))) (+.f64 (*.f64 (/.f64 1 (*.f64 a c)) (sqrt.f64 (+.f64 (pow.f64 c 2) (pow.f64 d 2)))) (*.f64 (/.f64 (*.f64 (pow.f64 b 2) (pow.f64 d 2)) (*.f64 (pow.f64 a 3) (pow.f64 c 3))) (sqrt.f64 (+.f64 (pow.f64 c 2) (pow.f64 d 2)))))))
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(fma.f64 -1 a (/.f64 (neg.f64 b) (/.f64 c d)))
(fma.f64 (pow.f64 (cbrt.f64 a) 2) (cbrt.f64 a) (/.f64 (neg.f64 b) (/.f64 c d)))
(fma.f64 (sqrt.f64 a) (sqrt.f64 a) (/.f64 (neg.f64 b) (/.f64 c d)))
Outputs
(/.f64 1 b)
(+.f64 (*.f64 -1 (/.f64 (*.f64 a c) (*.f64 (pow.f64 b 2) d))) (/.f64 1 b))
(fma.f64 -1 (*.f64 (/.f64 a (pow.f64 b 2)) (/.f64 c d)) (/.f64 1 b))
(-.f64 (/.f64 1 b) (*.f64 (/.f64 a (pow.f64 b 2)) (/.f64 c d)))
(+.f64 (*.f64 -1 (/.f64 (*.f64 a c) (*.f64 (pow.f64 b 2) d))) (+.f64 (*.f64 (pow.f64 c 2) (-.f64 (*.f64 1/2 (/.f64 1 (*.f64 b (pow.f64 d 2)))) (*.f64 -1 (/.f64 (pow.f64 a 2) (*.f64 (pow.f64 b 3) (pow.f64 d 2)))))) (/.f64 1 b)))
(fma.f64 -1 (*.f64 (/.f64 a (pow.f64 b 2)) (/.f64 c d)) (fma.f64 (pow.f64 c 2) (-.f64 (/.f64 1/2 (*.f64 b (pow.f64 d 2))) (neg.f64 (/.f64 (pow.f64 a 2) (*.f64 (pow.f64 d 2) (pow.f64 b 3))))) (/.f64 1 b)))
(-.f64 (fma.f64 (pow.f64 c 2) (+.f64 (/.f64 1/2 (*.f64 b (pow.f64 d 2))) (/.f64 (pow.f64 a 2) (*.f64 (pow.f64 d 2) (pow.f64 b 3)))) (/.f64 1 b)) (*.f64 (/.f64 a (pow.f64 b 2)) (/.f64 c d)))
(+.f64 (*.f64 -1 (/.f64 (*.f64 a c) (*.f64 (pow.f64 b 2) d))) (+.f64 (*.f64 -1 (/.f64 (*.f64 a (*.f64 (pow.f64 c 3) (-.f64 (*.f64 1/2 (/.f64 1 (*.f64 b (pow.f64 d 2)))) (*.f64 -1 (/.f64 (pow.f64 a 2) (*.f64 (pow.f64 b 3) (pow.f64 d 2))))))) (*.f64 b d))) (+.f64 (*.f64 (pow.f64 c 2) (-.f64 (*.f64 1/2 (/.f64 1 (*.f64 b (pow.f64 d 2)))) (*.f64 -1 (/.f64 (pow.f64 a 2) (*.f64 (pow.f64 b 3) (pow.f64 d 2)))))) (/.f64 1 b))))
(fma.f64 -1 (*.f64 (/.f64 a (pow.f64 b 2)) (/.f64 c d)) (fma.f64 -1 (*.f64 (/.f64 a b) (/.f64 (*.f64 (-.f64 (/.f64 1/2 (*.f64 b (pow.f64 d 2))) (neg.f64 (/.f64 (pow.f64 a 2) (*.f64 (pow.f64 d 2) (pow.f64 b 3))))) (pow.f64 c 3)) d)) (fma.f64 (pow.f64 c 2) (-.f64 (/.f64 1/2 (*.f64 b (pow.f64 d 2))) (neg.f64 (/.f64 (pow.f64 a 2) (*.f64 (pow.f64 d 2) (pow.f64 b 3))))) (/.f64 1 b))))
(-.f64 (-.f64 (fma.f64 (pow.f64 c 2) (+.f64 (/.f64 1/2 (*.f64 b (pow.f64 d 2))) (/.f64 (pow.f64 a 2) (*.f64 (pow.f64 d 2) (pow.f64 b 3)))) (/.f64 1 b)) (*.f64 (/.f64 a b) (/.f64 (*.f64 (+.f64 (/.f64 1/2 (*.f64 b (pow.f64 d 2))) (/.f64 (pow.f64 a 2) (*.f64 (pow.f64 d 2) (pow.f64 b 3)))) (pow.f64 c 3)) d))) (*.f64 (/.f64 a (pow.f64 b 2)) (/.f64 c d)))
(/.f64 1 a)
(+.f64 (*.f64 -1 (/.f64 (*.f64 b d) (*.f64 (pow.f64 a 2) c))) (/.f64 1 a))
(fma.f64 -1 (*.f64 (/.f64 b (pow.f64 a 2)) (/.f64 d c)) (/.f64 1 a))
(-.f64 (/.f64 1 a) (*.f64 (/.f64 b (pow.f64 a 2)) (/.f64 d c)))
(-.f64 (+.f64 (*.f64 -1 (/.f64 (*.f64 b d) (*.f64 (pow.f64 a 2) c))) (+.f64 (*.f64 1/2 (/.f64 (pow.f64 d 2) (*.f64 a (pow.f64 c 2)))) (/.f64 1 a))) (*.f64 -1 (/.f64 (*.f64 (pow.f64 b 2) (pow.f64 d 2)) (*.f64 (pow.f64 a 3) (pow.f64 c 2)))))
(-.f64 (fma.f64 -1 (*.f64 (/.f64 b (pow.f64 a 2)) (/.f64 d c)) (fma.f64 1/2 (/.f64 (pow.f64 d 2) (*.f64 a (pow.f64 c 2))) (/.f64 1 a))) (neg.f64 (*.f64 (/.f64 (pow.f64 b 2) (pow.f64 a 3)) (/.f64 (pow.f64 d 2) (pow.f64 c 2)))))
(+.f64 (-.f64 (fma.f64 1/2 (/.f64 (pow.f64 d 2) (*.f64 a (pow.f64 c 2))) (/.f64 1 a)) (*.f64 (/.f64 b (pow.f64 a 2)) (/.f64 d c))) (*.f64 (/.f64 (pow.f64 b 2) (pow.f64 a 3)) (/.f64 (pow.f64 d 2) (pow.f64 c 2))))
(-.f64 (+.f64 (*.f64 -1 (/.f64 (*.f64 b d) (*.f64 (pow.f64 a 2) c))) (+.f64 (*.f64 -1 (/.f64 (*.f64 b (*.f64 d (-.f64 (*.f64 1/2 (/.f64 (pow.f64 d 2) a)) (*.f64 -1 (/.f64 (*.f64 (pow.f64 b 2) (pow.f64 d 2)) (pow.f64 a 3)))))) (*.f64 a (pow.f64 c 3)))) (+.f64 (*.f64 1/2 (/.f64 (pow.f64 d 2) (*.f64 a (pow.f64 c 2)))) (/.f64 1 a)))) (*.f64 -1 (/.f64 (*.f64 (pow.f64 b 2) (pow.f64 d 2)) (*.f64 (pow.f64 a 3) (pow.f64 c 2)))))
(-.f64 (fma.f64 -1 (*.f64 (/.f64 b (pow.f64 a 2)) (/.f64 d c)) (fma.f64 -1 (*.f64 (/.f64 b a) (/.f64 (*.f64 d (-.f64 (*.f64 1/2 (/.f64 (pow.f64 d 2) a)) (neg.f64 (/.f64 (pow.f64 b 2) (/.f64 (pow.f64 a 3) (pow.f64 d 2)))))) (pow.f64 c 3))) (fma.f64 1/2 (/.f64 (pow.f64 d 2) (*.f64 a (pow.f64 c 2))) (/.f64 1 a)))) (neg.f64 (*.f64 (/.f64 (pow.f64 b 2) (pow.f64 a 3)) (/.f64 (pow.f64 d 2) (pow.f64 c 2)))))
(+.f64 (-.f64 (-.f64 (fma.f64 1/2 (/.f64 (pow.f64 d 2) (*.f64 a (pow.f64 c 2))) (/.f64 1 a)) (/.f64 (*.f64 (*.f64 b d) (fma.f64 1/2 (/.f64 (pow.f64 d 2) a) (/.f64 (pow.f64 b 2) (/.f64 (pow.f64 a 3) (pow.f64 d 2))))) (*.f64 a (pow.f64 c 3)))) (*.f64 (/.f64 b (pow.f64 a 2)) (/.f64 d c))) (*.f64 (/.f64 (pow.f64 b 2) (pow.f64 a 3)) (/.f64 (pow.f64 d 2) (pow.f64 c 2))))
(/.f64 -1 a)
(-.f64 (/.f64 (*.f64 b d) (*.f64 (pow.f64 a 2) c)) (/.f64 1 a))
(-.f64 (*.f64 (/.f64 b (pow.f64 a 2)) (/.f64 d c)) (/.f64 1 a))
(fma.f64 (/.f64 b (pow.f64 a 2)) (/.f64 d c) (/.f64 -1 a))
(-.f64 (+.f64 (*.f64 -1/2 (/.f64 (pow.f64 d 2) (*.f64 a (pow.f64 c 2)))) (/.f64 (*.f64 b d) (*.f64 (pow.f64 a 2) c))) (+.f64 (/.f64 1 a) (/.f64 (*.f64 (pow.f64 b 2) (pow.f64 d 2)) (*.f64 (pow.f64 a 3) (pow.f64 c 2)))))
(-.f64 (-.f64 (fma.f64 -1/2 (/.f64 (pow.f64 d 2) (*.f64 a (pow.f64 c 2))) (*.f64 (/.f64 b (pow.f64 a 2)) (/.f64 d c))) (/.f64 1 a)) (*.f64 (/.f64 (pow.f64 b 2) (pow.f64 a 3)) (/.f64 (pow.f64 d 2) (pow.f64 c 2))))
(-.f64 (fma.f64 (/.f64 b (pow.f64 a 2)) (/.f64 d c) (*.f64 (/.f64 (pow.f64 d 2) (*.f64 a (pow.f64 c 2))) -1/2)) (fma.f64 (/.f64 (pow.f64 b 2) (pow.f64 a 3)) (/.f64 (pow.f64 d 2) (pow.f64 c 2)) (/.f64 1 a)))
(-.f64 (+.f64 (*.f64 -1 (/.f64 (*.f64 b (*.f64 d (-.f64 (*.f64 -1/2 (/.f64 (pow.f64 d 2) a)) (/.f64 (*.f64 (pow.f64 b 2) (pow.f64 d 2)) (pow.f64 a 3))))) (*.f64 a (pow.f64 c 3)))) (+.f64 (*.f64 -1/2 (/.f64 (pow.f64 d 2) (*.f64 a (pow.f64 c 2)))) (/.f64 (*.f64 b d) (*.f64 (pow.f64 a 2) c)))) (+.f64 (/.f64 1 a) (/.f64 (*.f64 (pow.f64 b 2) (pow.f64 d 2)) (*.f64 (pow.f64 a 3) (pow.f64 c 2)))))
(-.f64 (fma.f64 -1 (/.f64 b (/.f64 (*.f64 a (pow.f64 c 3)) (*.f64 d (-.f64 (*.f64 (/.f64 (pow.f64 d 2) a) -1/2) (/.f64 (pow.f64 b 2) (/.f64 (pow.f64 a 3) (pow.f64 d 2))))))) (fma.f64 -1/2 (/.f64 (pow.f64 d 2) (*.f64 a (pow.f64 c 2))) (*.f64 (/.f64 b (pow.f64 a 2)) (/.f64 d c)))) (+.f64 (/.f64 1 a) (*.f64 (/.f64 (pow.f64 b 2) (pow.f64 a 3)) (/.f64 (pow.f64 d 2) (pow.f64 c 2)))))
(-.f64 (-.f64 (fma.f64 (/.f64 b (pow.f64 a 2)) (/.f64 d c) (*.f64 (/.f64 (pow.f64 d 2) (*.f64 a (pow.f64 c 2))) -1/2)) (/.f64 b (/.f64 (*.f64 a (pow.f64 c 3)) (*.f64 d (-.f64 (*.f64 (/.f64 (pow.f64 d 2) a) -1/2) (/.f64 (pow.f64 b 2) (/.f64 (pow.f64 a 3) (pow.f64 d 2)))))))) (fma.f64 (/.f64 (pow.f64 b 2) (pow.f64 a 3)) (/.f64 (pow.f64 d 2) (pow.f64 c 2)) (/.f64 1 a)))
(/.f64 1 a)
(+.f64 (*.f64 -1 (/.f64 (*.f64 b d) (*.f64 (pow.f64 a 2) c))) (/.f64 1 a))
(fma.f64 -1 (*.f64 (/.f64 b (pow.f64 a 2)) (/.f64 d c)) (/.f64 1 a))
(-.f64 (/.f64 1 a) (*.f64 (/.f64 b (pow.f64 a 2)) (/.f64 d c)))
(+.f64 (*.f64 -1 (/.f64 (*.f64 b d) (*.f64 (pow.f64 a 2) c))) (+.f64 (*.f64 (pow.f64 d 2) (-.f64 (*.f64 1/2 (/.f64 1 (*.f64 a (pow.f64 c 2)))) (*.f64 -1 (/.f64 (pow.f64 b 2) (*.f64 (pow.f64 a 3) (pow.f64 c 2)))))) (/.f64 1 a)))
(fma.f64 -1 (*.f64 (/.f64 b (pow.f64 a 2)) (/.f64 d c)) (fma.f64 (pow.f64 d 2) (-.f64 (/.f64 1/2 (*.f64 a (pow.f64 c 2))) (neg.f64 (/.f64 (pow.f64 b 2) (*.f64 (pow.f64 c 2) (pow.f64 a 3))))) (/.f64 1 a)))
(-.f64 (fma.f64 (pow.f64 d 2) (+.f64 (/.f64 1/2 (*.f64 a (pow.f64 c 2))) (/.f64 (pow.f64 b 2) (*.f64 (pow.f64 c 2) (pow.f64 a 3)))) (/.f64 1 a)) (*.f64 (/.f64 b (pow.f64 a 2)) (/.f64 d c)))
(+.f64 (*.f64 -1 (/.f64 (*.f64 b d) (*.f64 (pow.f64 a 2) c))) (+.f64 (*.f64 -1 (/.f64 (*.f64 b (*.f64 (pow.f64 d 3) (-.f64 (*.f64 1/2 (/.f64 1 (*.f64 a (pow.f64 c 2)))) (*.f64 -1 (/.f64 (pow.f64 b 2) (*.f64 (pow.f64 a 3) (pow.f64 c 2))))))) (*.f64 a c))) (+.f64 (*.f64 (pow.f64 d 2) (-.f64 (*.f64 1/2 (/.f64 1 (*.f64 a (pow.f64 c 2)))) (*.f64 -1 (/.f64 (pow.f64 b 2) (*.f64 (pow.f64 a 3) (pow.f64 c 2)))))) (/.f64 1 a))))
(fma.f64 -1 (*.f64 (/.f64 b (pow.f64 a 2)) (/.f64 d c)) (fma.f64 -1 (/.f64 b (/.f64 (*.f64 a c) (*.f64 (-.f64 (/.f64 1/2 (*.f64 a (pow.f64 c 2))) (neg.f64 (/.f64 (pow.f64 b 2) (*.f64 (pow.f64 c 2) (pow.f64 a 3))))) (pow.f64 d 3)))) (fma.f64 (pow.f64 d 2) (-.f64 (/.f64 1/2 (*.f64 a (pow.f64 c 2))) (neg.f64 (/.f64 (pow.f64 b 2) (*.f64 (pow.f64 c 2) (pow.f64 a 3))))) (/.f64 1 a))))
(-.f64 (-.f64 (fma.f64 (pow.f64 d 2) (+.f64 (/.f64 1/2 (*.f64 a (pow.f64 c 2))) (/.f64 (pow.f64 b 2) (*.f64 (pow.f64 c 2) (pow.f64 a 3)))) (/.f64 1 a)) (/.f64 b (/.f64 (*.f64 a c) (*.f64 (+.f64 (/.f64 1/2 (*.f64 a (pow.f64 c 2))) (/.f64 (pow.f64 b 2) (*.f64 (pow.f64 c 2) (pow.f64 a 3)))) (pow.f64 d 3))))) (*.f64 (/.f64 b (pow.f64 a 2)) (/.f64 d c)))
(/.f64 1 b)
(+.f64 (*.f64 -1 (/.f64 (*.f64 a c) (*.f64 (pow.f64 b 2) d))) (/.f64 1 b))
(fma.f64 -1 (*.f64 (/.f64 a (pow.f64 b 2)) (/.f64 c d)) (/.f64 1 b))
(-.f64 (/.f64 1 b) (*.f64 (/.f64 a (pow.f64 b 2)) (/.f64 c d)))
(-.f64 (+.f64 (*.f64 -1 (/.f64 (*.f64 a c) (*.f64 (pow.f64 b 2) d))) (+.f64 (*.f64 1/2 (/.f64 (pow.f64 c 2) (*.f64 b (pow.f64 d 2)))) (/.f64 1 b))) (*.f64 -1 (/.f64 (*.f64 (pow.f64 a 2) (pow.f64 c 2)) (*.f64 (pow.f64 b 3) (pow.f64 d 2)))))
(-.f64 (fma.f64 -1 (*.f64 (/.f64 a (pow.f64 b 2)) (/.f64 c d)) (fma.f64 1/2 (/.f64 (pow.f64 c 2) (*.f64 b (pow.f64 d 2))) (/.f64 1 b))) (neg.f64 (*.f64 (/.f64 (pow.f64 a 2) (pow.f64 b 3)) (/.f64 (pow.f64 c 2) (pow.f64 d 2)))))
(+.f64 (-.f64 (fma.f64 1/2 (/.f64 (/.f64 (pow.f64 c 2) b) (pow.f64 d 2)) (/.f64 1 b)) (*.f64 (/.f64 a (pow.f64 b 2)) (/.f64 c d))) (*.f64 (/.f64 (pow.f64 a 2) (pow.f64 b 3)) (/.f64 (pow.f64 c 2) (pow.f64 d 2))))
(-.f64 (+.f64 (*.f64 -1 (/.f64 (*.f64 a c) (*.f64 (pow.f64 b 2) d))) (+.f64 (*.f64 -1 (/.f64 (*.f64 a (*.f64 c (-.f64 (*.f64 1/2 (/.f64 (pow.f64 c 2) b)) (*.f64 -1 (/.f64 (*.f64 (pow.f64 a 2) (pow.f64 c 2)) (pow.f64 b 3)))))) (*.f64 b (pow.f64 d 3)))) (+.f64 (*.f64 1/2 (/.f64 (pow.f64 c 2) (*.f64 b (pow.f64 d 2)))) (/.f64 1 b)))) (*.f64 -1 (/.f64 (*.f64 (pow.f64 a 2) (pow.f64 c 2)) (*.f64 (pow.f64 b 3) (pow.f64 d 2)))))
(-.f64 (fma.f64 -1 (*.f64 (/.f64 a (pow.f64 b 2)) (/.f64 c d)) (fma.f64 -1 (*.f64 (/.f64 a b) (/.f64 (*.f64 c (-.f64 (*.f64 1/2 (/.f64 (pow.f64 c 2) b)) (neg.f64 (/.f64 (pow.f64 a 2) (/.f64 (pow.f64 b 3) (pow.f64 c 2)))))) (pow.f64 d 3))) (fma.f64 1/2 (/.f64 (pow.f64 c 2) (*.f64 b (pow.f64 d 2))) (/.f64 1 b)))) (neg.f64 (*.f64 (/.f64 (pow.f64 a 2) (pow.f64 b 3)) (/.f64 (pow.f64 c 2) (pow.f64 d 2)))))
(+.f64 (-.f64 (-.f64 (fma.f64 1/2 (/.f64 (/.f64 (pow.f64 c 2) b) (pow.f64 d 2)) (/.f64 1 b)) (/.f64 (*.f64 (*.f64 a c) (fma.f64 1/2 (/.f64 (pow.f64 c 2) b) (/.f64 (pow.f64 a 2) (/.f64 (pow.f64 b 3) (pow.f64 c 2))))) (*.f64 b (pow.f64 d 3)))) (*.f64 (/.f64 a (pow.f64 b 2)) (/.f64 c d))) (*.f64 (/.f64 (pow.f64 a 2) (pow.f64 b 3)) (/.f64 (pow.f64 c 2) (pow.f64 d 2))))
(/.f64 -1 b)
(-.f64 (/.f64 (*.f64 a c) (*.f64 (pow.f64 b 2) d)) (/.f64 1 b))
(-.f64 (*.f64 (/.f64 a (pow.f64 b 2)) (/.f64 c d)) (/.f64 1 b))
(fma.f64 (/.f64 a (pow.f64 b 2)) (/.f64 c d) (/.f64 -1 b))
(-.f64 (+.f64 (*.f64 -1/2 (/.f64 (pow.f64 c 2) (*.f64 b (pow.f64 d 2)))) (/.f64 (*.f64 a c) (*.f64 (pow.f64 b 2) d))) (+.f64 (/.f64 1 b) (/.f64 (*.f64 (pow.f64 a 2) (pow.f64 c 2)) (*.f64 (pow.f64 b 3) (pow.f64 d 2)))))
(-.f64 (fma.f64 -1/2 (/.f64 (pow.f64 c 2) (*.f64 b (pow.f64 d 2))) (*.f64 (/.f64 a (pow.f64 b 2)) (/.f64 c d))) (+.f64 (/.f64 1 b) (*.f64 (/.f64 (pow.f64 a 2) (pow.f64 b 3)) (/.f64 (pow.f64 c 2) (pow.f64 d 2)))))
(-.f64 (fma.f64 -1/2 (/.f64 (/.f64 (pow.f64 c 2) b) (pow.f64 d 2)) (*.f64 (/.f64 a (pow.f64 b 2)) (/.f64 c d))) (fma.f64 (/.f64 (pow.f64 a 2) (pow.f64 b 3)) (/.f64 (pow.f64 c 2) (pow.f64 d 2)) (/.f64 1 b)))
(-.f64 (+.f64 (*.f64 -1 (/.f64 (*.f64 a (*.f64 c (-.f64 (*.f64 -1/2 (/.f64 (pow.f64 c 2) b)) (/.f64 (*.f64 (pow.f64 a 2) (pow.f64 c 2)) (pow.f64 b 3))))) (*.f64 b (pow.f64 d 3)))) (+.f64 (*.f64 -1/2 (/.f64 (pow.f64 c 2) (*.f64 b (pow.f64 d 2)))) (/.f64 (*.f64 a c) (*.f64 (pow.f64 b 2) d)))) (+.f64 (/.f64 1 b) (/.f64 (*.f64 (pow.f64 a 2) (pow.f64 c 2)) (*.f64 (pow.f64 b 3) (pow.f64 d 2)))))
(-.f64 (fma.f64 -1 (/.f64 a (/.f64 (*.f64 b (pow.f64 d 3)) (*.f64 c (-.f64 (*.f64 -1/2 (/.f64 (pow.f64 c 2) b)) (/.f64 (pow.f64 a 2) (/.f64 (pow.f64 b 3) (pow.f64 c 2))))))) (fma.f64 -1/2 (/.f64 (pow.f64 c 2) (*.f64 b (pow.f64 d 2))) (*.f64 (/.f64 a (pow.f64 b 2)) (/.f64 c d)))) (+.f64 (/.f64 1 b) (*.f64 (/.f64 (pow.f64 a 2) (pow.f64 b 3)) (/.f64 (pow.f64 c 2) (pow.f64 d 2)))))
(-.f64 (-.f64 (fma.f64 -1/2 (/.f64 (/.f64 (pow.f64 c 2) b) (pow.f64 d 2)) (*.f64 (/.f64 a (pow.f64 b 2)) (/.f64 c d))) (/.f64 a (/.f64 (*.f64 b (pow.f64 d 3)) (*.f64 c (-.f64 (*.f64 -1/2 (/.f64 (pow.f64 c 2) b)) (/.f64 (pow.f64 a 2) (/.f64 (pow.f64 b 3) (pow.f64 c 2)))))))) (fma.f64 (/.f64 (pow.f64 a 2) (pow.f64 b 3)) (/.f64 (pow.f64 c 2) (pow.f64 d 2)) (/.f64 1 b)))
(*.f64 (/.f64 1 (*.f64 a c)) (sqrt.f64 (+.f64 (pow.f64 c 2) (pow.f64 d 2))))
(*.f64 (/.f64 (/.f64 1 a) c) (sqrt.f64 (+.f64 (pow.f64 c 2) (pow.f64 d 2))))
(/.f64 (hypot.f64 c d) (*.f64 a c))
(+.f64 (*.f64 -1 (*.f64 (/.f64 (*.f64 b d) (*.f64 (pow.f64 a 2) (pow.f64 c 2))) (sqrt.f64 (+.f64 (pow.f64 c 2) (pow.f64 d 2))))) (*.f64 (/.f64 1 (*.f64 a c)) (sqrt.f64 (+.f64 (pow.f64 c 2) (pow.f64 d 2)))))
(fma.f64 -1 (*.f64 (sqrt.f64 (+.f64 (pow.f64 c 2) (pow.f64 d 2))) (*.f64 (/.f64 b (pow.f64 a 2)) (/.f64 d (pow.f64 c 2)))) (*.f64 (/.f64 (/.f64 1 a) c) (sqrt.f64 (+.f64 (pow.f64 c 2) (pow.f64 d 2)))))
(*.f64 (hypot.f64 c d) (+.f64 (/.f64 (/.f64 1 a) c) (neg.f64 (*.f64 (/.f64 b (pow.f64 a 2)) (/.f64 d (pow.f64 c 2))))))
(+.f64 (*.f64 -1 (*.f64 (/.f64 (*.f64 b d) (*.f64 (pow.f64 a 2) (pow.f64 c 2))) (sqrt.f64 (+.f64 (pow.f64 c 2) (pow.f64 d 2))))) (+.f64 (*.f64 (/.f64 1 (*.f64 a c)) (sqrt.f64 (+.f64 (pow.f64 c 2) (pow.f64 d 2)))) (*.f64 (/.f64 (*.f64 (pow.f64 b 2) (pow.f64 d 2)) (*.f64 (pow.f64 a 3) (pow.f64 c 3))) (sqrt.f64 (+.f64 (pow.f64 c 2) (pow.f64 d 2))))))
(fma.f64 -1 (*.f64 (sqrt.f64 (+.f64 (pow.f64 c 2) (pow.f64 d 2))) (*.f64 (/.f64 b (pow.f64 a 2)) (/.f64 d (pow.f64 c 2)))) (*.f64 (sqrt.f64 (+.f64 (pow.f64 c 2) (pow.f64 d 2))) (+.f64 (/.f64 (/.f64 1 a) c) (/.f64 (pow.f64 b 2) (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 d 2))))))
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(*.f64 (+.f64 (sqrt.f64 (*.f64 b (/.f64 d c))) (sqrt.f64 a)) (-.f64 (sqrt.f64 a) (sqrt.f64 (*.f64 b (/.f64 d c)))))
(/.f64 1 (/.f64 (fma.f64 a a (*.f64 (*.f64 b (/.f64 d c)) (+.f64 (*.f64 b (/.f64 d c)) a))) (-.f64 (pow.f64 a 3) (pow.f64 (*.f64 b (/.f64 d c)) 3))))
(*.f64 (-.f64 (pow.f64 a 3) (pow.f64 (*.f64 b (/.f64 d c)) 3)) (/.f64 1 (fma.f64 a a (*.f64 (*.f64 b (/.f64 d c)) (fma.f64 b (/.f64 d c) a)))))
(/.f64 (-.f64 (pow.f64 a 3) (pow.f64 (*.f64 b (/.f64 d c)) 3)) (fma.f64 a a (*.f64 b (*.f64 (/.f64 d c) (fma.f64 b (/.f64 d c) a)))))
(/.f64 1 (/.f64 (+.f64 a (*.f64 b (/.f64 d c))) (-.f64 (pow.f64 a 2) (pow.f64 (*.f64 b (/.f64 d c)) 2))))
(*.f64 (-.f64 (pow.f64 a 2) (pow.f64 (*.f64 b (/.f64 d c)) 2)) (/.f64 1 (fma.f64 b (/.f64 d c) a)))
(/.f64 (-.f64 (pow.f64 a 2) (pow.f64 (*.f64 b (/.f64 d c)) 2)) (fma.f64 b (/.f64 d c) a))
(/.f64 (-.f64 (pow.f64 a 3) (pow.f64 (*.f64 b (/.f64 d c)) 3)) (fma.f64 a a (*.f64 (*.f64 b (/.f64 d c)) (+.f64 (*.f64 b (/.f64 d c)) a))))
(*.f64 (-.f64 (pow.f64 a 3) (pow.f64 (*.f64 b (/.f64 d c)) 3)) (/.f64 1 (fma.f64 a a (*.f64 (*.f64 b (/.f64 d c)) (fma.f64 b (/.f64 d c) a)))))
(/.f64 (-.f64 (pow.f64 a 3) (pow.f64 (*.f64 b (/.f64 d c)) 3)) (fma.f64 a a (*.f64 b (*.f64 (/.f64 d c) (fma.f64 b (/.f64 d c) a)))))
(/.f64 (-.f64 (pow.f64 a 2) (pow.f64 (*.f64 b (/.f64 d c)) 2)) (+.f64 a (*.f64 b (/.f64 d c))))
(*.f64 (-.f64 (pow.f64 a 2) (pow.f64 (*.f64 b (/.f64 d c)) 2)) (/.f64 1 (fma.f64 b (/.f64 d c) a)))
(/.f64 (-.f64 (pow.f64 a 2) (pow.f64 (*.f64 b (/.f64 d c)) 2)) (fma.f64 b (/.f64 d c) a))
(/.f64 (neg.f64 (-.f64 (pow.f64 a 3) (pow.f64 (*.f64 b (/.f64 d c)) 3))) (neg.f64 (fma.f64 a a (*.f64 (*.f64 b (/.f64 d c)) (+.f64 (*.f64 b (/.f64 d c)) a)))))
(neg.f64 (/.f64 (-.f64 (pow.f64 a 3) (pow.f64 (*.f64 b (/.f64 d c)) 3)) (neg.f64 (fma.f64 a a (*.f64 (*.f64 b (/.f64 d c)) (fma.f64 b (/.f64 d c) a))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 a 3) (pow.f64 (*.f64 b (/.f64 d c)) 3))) (neg.f64 (fma.f64 a a (*.f64 b (*.f64 (/.f64 d c) (fma.f64 b (/.f64 d c) a))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 a 2) (pow.f64 (*.f64 b (/.f64 d c)) 2))) (-.f64 a (*.f64 b (/.f64 d c))))
(neg.f64 (/.f64 (-.f64 (pow.f64 a 2) (pow.f64 (*.f64 b (/.f64 d c)) 2)) (fma.f64 d (/.f64 (neg.f64 b) c) a)))
(/.f64 (+.f64 (pow.f64 a 3) (pow.f64 (/.f64 (neg.f64 b) (/.f64 c d)) 3)) (+.f64 (pow.f64 a 2) (-.f64 (*.f64 (/.f64 (neg.f64 b) (/.f64 c d)) (/.f64 (neg.f64 b) (/.f64 c d))) (*.f64 a (/.f64 (neg.f64 b) (/.f64 c d))))))
(*.f64 (-.f64 (pow.f64 a 3) (pow.f64 (*.f64 b (/.f64 d c)) 3)) (/.f64 1 (fma.f64 a a (*.f64 (*.f64 b (/.f64 d c)) (fma.f64 b (/.f64 d c) a)))))
(/.f64 (-.f64 (pow.f64 a 3) (pow.f64 (*.f64 b (/.f64 d c)) 3)) (fma.f64 a a (*.f64 b (*.f64 (/.f64 d c) (fma.f64 b (/.f64 d c) a)))))
(/.f64 (-.f64 (pow.f64 a 2) (*.f64 (/.f64 (neg.f64 b) (/.f64 c d)) (/.f64 (neg.f64 b) (/.f64 c d)))) (-.f64 a (/.f64 (neg.f64 b) (/.f64 c d))))
(*.f64 (-.f64 (pow.f64 a 2) (pow.f64 (*.f64 b (/.f64 d c)) 2)) (/.f64 1 (fma.f64 b (/.f64 d c) a)))
(/.f64 (-.f64 (pow.f64 a 2) (pow.f64 (*.f64 b (/.f64 d c)) 2)) (fma.f64 b (/.f64 d c) a))
(pow.f64 (-.f64 a (*.f64 b (/.f64 d c))) 1)
(-.f64 a (*.f64 b (/.f64 d c)))
(fma.f64 d (/.f64 (neg.f64 b) c) a)
(pow.f64 (cbrt.f64 (-.f64 a (*.f64 b (/.f64 d c)))) 3)
(-.f64 a (*.f64 b (/.f64 d c)))
(fma.f64 d (/.f64 (neg.f64 b) c) a)
(pow.f64 (pow.f64 (-.f64 a (*.f64 b (/.f64 d c))) 3) 1/3)
(-.f64 a (*.f64 b (/.f64 d c)))
(fma.f64 d (/.f64 (neg.f64 b) c) a)
(pow.f64 (sqrt.f64 (-.f64 a (*.f64 b (/.f64 d c)))) 2)
(-.f64 a (*.f64 b (/.f64 d c)))
(fma.f64 d (/.f64 (neg.f64 b) c) a)
(neg.f64 (+.f64 a (*.f64 b (/.f64 d c))))
(neg.f64 (fma.f64 b (/.f64 d c) a))
(sqrt.f64 (pow.f64 (-.f64 a (*.f64 b (/.f64 d c))) 2))
(fabs.f64 (fma.f64 d (/.f64 (neg.f64 b) c) a))
(log.f64 (exp.f64 (-.f64 a (*.f64 b (/.f64 d c)))))
(-.f64 a (*.f64 b (/.f64 d c)))
(fma.f64 d (/.f64 (neg.f64 b) c) a)
(log.f64 (+.f64 1 (expm1.f64 (-.f64 a (*.f64 b (/.f64 d c))))))
(-.f64 a (*.f64 b (/.f64 d c)))
(fma.f64 d (/.f64 (neg.f64 b) c) a)
(cbrt.f64 (pow.f64 (-.f64 a (*.f64 b (/.f64 d c))) 3))
(-.f64 a (*.f64 b (/.f64 d c)))
(fma.f64 d (/.f64 (neg.f64 b) c) a)
(expm1.f64 (log1p.f64 (-.f64 a (*.f64 b (/.f64 d c)))))
(-.f64 a (*.f64 b (/.f64 d c)))
(fma.f64 d (/.f64 (neg.f64 b) c) a)
(exp.f64 (log.f64 (-.f64 a (*.f64 b (/.f64 d c)))))
(-.f64 a (*.f64 b (/.f64 d c)))
(fma.f64 d (/.f64 (neg.f64 b) c) a)
(exp.f64 (*.f64 (log.f64 (-.f64 a (*.f64 b (/.f64 d c)))) 1))
(-.f64 a (*.f64 b (/.f64 d c)))
(fma.f64 d (/.f64 (neg.f64 b) c) a)
(log1p.f64 (expm1.f64 (-.f64 a (*.f64 b (/.f64 d c)))))
(-.f64 a (*.f64 b (/.f64 d c)))
(fma.f64 d (/.f64 (neg.f64 b) c) a)
(fma.f64 1 a (/.f64 (neg.f64 b) (/.f64 c d)))
(-.f64 a (*.f64 b (/.f64 d c)))
(fma.f64 d (/.f64 (neg.f64 b) c) a)
(fma.f64 -1 a (/.f64 (neg.f64 b) (/.f64 c d)))
(neg.f64 (fma.f64 b (/.f64 d c) a))
(fma.f64 (pow.f64 (cbrt.f64 a) 2) (cbrt.f64 a) (/.f64 (neg.f64 b) (/.f64 c d)))
(-.f64 a (*.f64 b (/.f64 d c)))
(fma.f64 d (/.f64 (neg.f64 b) c) a)
(fma.f64 (sqrt.f64 a) (sqrt.f64 a) (/.f64 (neg.f64 b) (/.f64 c d)))
(-.f64 a (*.f64 b (/.f64 d c)))
(fma.f64 d (/.f64 (neg.f64 b) c) a)

eval411.0ms (3.4%)

Compiler

Compiled 19636 to 9581 computations (51.2% saved)

prune186.0ms (1.5%)

Pruning

35 alts after pruning (29 fresh and 6 done)

PrunedKeptTotal
New77610786
Fresh71926
Picked235
Done134
Total78635821
Accuracy
100.0%
Counts
821 → 35
Alt Table
Click to see full alt table
StatusAccuracyProgram
45.5%
(/.f64 (/.f64 (*.f64 d b) (hypot.f64 c d)) (hypot.f64 c d))
45.4%
(/.f64 (/.f64 (*.f64 a c) (hypot.f64 c d)) (hypot.f64 c d))
61.7%
(/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) (+.f64 (*.f64 c c) (*.f64 d d)))
28.8%
(/.f64 (+.f64 b (/.f64 (*.f64 a c) d)) (hypot.f64 c d))
31.3%
(/.f64 (+.f64 a (/.f64 (*.f64 b d) c)) (hypot.f64 c d))
32.5%
(/.f64 (+.f64 a (/.f64 b (/.f64 c d))) (hypot.f64 c d))
17.8%
(/.f64 (*.f64 d (/.f64 (neg.f64 b) c)) (hypot.f64 c d))
18.4%
(/.f64 (*.f64 b (/.f64 (neg.f64 d) c)) (hypot.f64 c d))
38.5%
(/.f64 (*.f64 b d) (pow.f64 (hypot.f64 c d) 2))
38.5%
(/.f64 (*.f64 b d) (+.f64 (*.f64 c c) (*.f64 d d)))
9.5%
(/.f64 (neg.f64 b) d)
9.8%
(/.f64 (neg.f64 b) c)
31.3%
(/.f64 (neg.f64 a) (hypot.f64 c d))
10.1%
(/.f64 (neg.f64 a) d)
10.8%
(/.f64 (neg.f64 a) c)
40.0%
(/.f64 b d)
9.3%
(/.f64 b c)
52.8%
(/.f64 a (+.f64 c (/.f64 (pow.f64 d 2) c)))
10.2%
(/.f64 a d)
43.1%
(/.f64 a c)
27.5%
(/.f64 1 (/.f64 (hypot.f64 d c) b))
74.5%
(/.f64 1 (/.f64 (hypot.f64 c d) (/.f64 (fma.f64 b d (*.f64 c a)) (hypot.f64 c d))))
32.7%
(/.f64 1 (/.f64 (hypot.f64 c d) (-.f64 a (*.f64 b (/.f64 d c)))))
45.3%
(/.f64 1 (*.f64 (/.f64 (hypot.f64 c d) (*.f64 a c)) (hypot.f64 c d)))
27.5%
(/.f64 1 (*.f64 (/.f64 1 b) (hypot.f64 c d)))
28.2%
(/.f64 1 (*.f64 (/.f64 -1 b) (hypot.f64 c d)))
49.4%
(+.f64 (/.f64 b d) (*.f64 (/.f64 a d) (/.f64 c d)))
50.0%
(+.f64 (/.f64 a c) (*.f64 (/.f64 b (pow.f64 c 2)) d))
28.7%
(*.f64 (/.f64 1 (hypot.f64 c d)) (+.f64 b (/.f64 1 (/.f64 d (*.f64 a c)))))
31.2%
(*.f64 (/.f64 1 (hypot.f64 c d)) (neg.f64 a))
50.9%
(*.f64 (/.f64 1 d) (+.f64 b (/.f64 a (/.f64 d c))))
50.9%
(*.f64 (/.f64 1 d) (+.f64 b (*.f64 (/.f64 c d) a)))
39.8%
(*.f64 (/.f64 1 d) b)
9.3%
(*.f64 (/.f64 1 c) b)
19.1%
(*.f64 a (/.f64 c (pow.f64 d 2)))
Compiler

Compiled 1191 to 556 computations (53.3% saved)

regimes649.0ms (5.3%)

Counts
68 → 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 (/.f64 1 c) b)
(*.f64 (/.f64 1 d) b)
(*.f64 (/.f64 1 d) (+.f64 b (*.f64 (/.f64 c d) a)))
(*.f64 (/.f64 1 d) (+.f64 b (/.f64 a (/.f64 d c))))
(+.f64 (/.f64 b d) (*.f64 (/.f64 a d) (/.f64 c d)))
(/.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 a (/.f64 c (pow.f64 d 2)))
(*.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 1 (/.f64 (hypot.f64 d c) b))
(*.f64 (/.f64 1 (hypot.f64 c d)) (neg.f64 a))
(*.f64 (/.f64 1 (hypot.f64 c d)) (neg.f64 b))
(/.f64 1 (*.f64 (/.f64 -1 b) (hypot.f64 c d)))
(/.f64 1 (*.f64 (/.f64 1 b) (hypot.f64 c d)))
(/.f64 a (+.f64 c (/.f64 (pow.f64 d 2) c)))
(/.f64 (*.f64 b (/.f64 (neg.f64 d) c)) (hypot.f64 c d))
(/.f64 (*.f64 d (/.f64 (neg.f64 b) c)) (hypot.f64 c d))
(+.f64 (/.f64 a c) (*.f64 (/.f64 b (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 a (/.f64 (*.f64 b d) c)) (hypot.f64 c d))
(/.f64 (+.f64 b (/.f64 (*.f64 a c) d)) (hypot.f64 c d))
(/.f64 (-.f64 (neg.f64 a) (/.f64 b (/.f64 c d))) (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 a (/.f64 (*.f64 b d) c)))
(*.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 1 (/.f64 (hypot.f64 c d) (-.f64 a (*.f64 b (/.f64 d c)))))
(*.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 (neg.f64 b) (/.f64 c d)) a))
(*.f64 (/.f64 1 (hypot.f64 c d)) (+.f64 b (/.f64 1 (/.f64 d (*.f64 a c)))))
(+.f64 (/.f64 b d) (*.f64 (/.f64 1 (pow.f64 d 2)) (/.f64 a (/.f64 1 c))))
(/.f64 (+.f64 (*.f64 -1 b) (*.f64 -1 (/.f64 (*.f64 a c) d))) (hypot.f64 c d))
(/.f64 (*.f64 b d) (pow.f64 (hypot.f64 c d) 2))
(/.f64 a (/.f64 (fma.f64 d d (pow.f64 c 2)) c))
(/.f64 b (/.f64 (fma.f64 d d (pow.f64 c 2)) d))
(*.f64 (/.f64 c (hypot.f64 c d)) (/.f64 a (hypot.f64 c d)))
(/.f64 (/.f64 (*.f64 a c) (hypot.f64 c d)) (hypot.f64 c d))
(/.f64 (/.f64 (*.f64 d b) (hypot.f64 c d)) (hypot.f64 c d))
(*.f64 (/.f64 1 (hypot.f64 c d)) (/.f64 (*.f64 b d) (hypot.f64 c d)))
(/.f64 1 (*.f64 (/.f64 (hypot.f64 c d) (*.f64 a c)) (hypot.f64 c d)))
(/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) (pow.f64 (hypot.f64 c d) 2))
(pow.f64 (/.f64 (sqrt.f64 (*.f64 c a)) (hypot.f64 c d)) 2)
(*.f64 (fma.f64 a c (*.f64 b d)) (/.f64 1 (pow.f64 (hypot.f64 c d) 2)))
(/.f64 (/.f64 (fma.f64 b d (*.f64 a c)) (hypot.f64 c d)) (hypot.f64 c d))
(*.f64 (/.f64 1 (hypot.f64 c d)) (/.f64 (fma.f64 a c (*.f64 b d)) (hypot.f64 c d)))
(/.f64 1 (*.f64 (/.f64 (hypot.f64 c d) (fma.f64 b d (*.f64 a c))) (hypot.f64 c d)))
(/.f64 1 (/.f64 (hypot.f64 c d) (/.f64 (fma.f64 b d (*.f64 c a)) (hypot.f64 c d))))
(pow.f64 (/.f64 (sqrt.f64 (fma.f64 a c (*.f64 b d))) (hypot.f64 c d)) 2)
(*.f64 (/.f64 (fma.f64 c a (*.f64 b d)) (-.f64 (pow.f64 c 4) (pow.f64 d 4))) (-.f64 (pow.f64 c 2) (pow.f64 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 (pow.f64 (cbrt.f64 (fma.f64 b d (*.f64 a c))) 2) (hypot.f64 c d)) (/.f64 (cbrt.f64 (fma.f64 b d (*.f64 a c))) (hypot.f64 c d)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 b d (*.f64 a c))) 2) (hypot.f64 d c)) (/.f64 (cbrt.f64 (fma.f64 b d (*.f64 a c))) (hypot.f64 d c)))
Outputs
(/.f64 (/.f64 (fma.f64 b d (*.f64 a c)) (hypot.f64 c d)) (hypot.f64 c d))
(*.f64 (/.f64 c (hypot.f64 c d)) (/.f64 a (hypot.f64 c d)))
Calls

5 calls:

199.0ms
b
143.0ms
c
139.0ms
d
127.0ms
a
34.0ms
(/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) (+.f64 (*.f64 c c) (*.f64 d d)))
Results
AccuracySegmentsBranch
83.0%3a
77.0%3b
89.4%5c
85.4%5d
85.8%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)

regimes195.0ms (1.6%)

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

2 calls:

118.0ms
c
72.0ms
(/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) (+.f64 (*.f64 c c) (*.f64 d d)))
Results
AccuracySegmentsBranch
86.7%5c
80.8%5(/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) (+.f64 (*.f64 c c) (*.f64 d d)))
Compiler

Compiled 24 to 15 computations (37.5% saved)

regimes133.0ms (1.1%)

Counts
56 → 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 (/.f64 1 c) b)
(*.f64 (/.f64 1 d) b)
(*.f64 (/.f64 1 d) (+.f64 b (*.f64 (/.f64 c d) a)))
(*.f64 (/.f64 1 d) (+.f64 b (/.f64 a (/.f64 d c))))
(+.f64 (/.f64 b d) (*.f64 (/.f64 a d) (/.f64 c d)))
(/.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 a (/.f64 c (pow.f64 d 2)))
(*.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 1 (/.f64 (hypot.f64 d c) b))
(*.f64 (/.f64 1 (hypot.f64 c d)) (neg.f64 a))
(*.f64 (/.f64 1 (hypot.f64 c d)) (neg.f64 b))
(/.f64 1 (*.f64 (/.f64 -1 b) (hypot.f64 c d)))
(/.f64 1 (*.f64 (/.f64 1 b) (hypot.f64 c d)))
(/.f64 a (+.f64 c (/.f64 (pow.f64 d 2) c)))
(/.f64 (*.f64 b (/.f64 (neg.f64 d) c)) (hypot.f64 c d))
(/.f64 (*.f64 d (/.f64 (neg.f64 b) c)) (hypot.f64 c d))
(+.f64 (/.f64 a c) (*.f64 (/.f64 b (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 a (/.f64 (*.f64 b d) c)) (hypot.f64 c d))
(/.f64 (+.f64 b (/.f64 (*.f64 a c) d)) (hypot.f64 c d))
(/.f64 (-.f64 (neg.f64 a) (/.f64 b (/.f64 c d))) (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 a (/.f64 (*.f64 b d) c)))
(*.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 1 (/.f64 (hypot.f64 c d) (-.f64 a (*.f64 b (/.f64 d c)))))
(*.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 (neg.f64 b) (/.f64 c d)) a))
(*.f64 (/.f64 1 (hypot.f64 c d)) (+.f64 b (/.f64 1 (/.f64 d (*.f64 a c)))))
(+.f64 (/.f64 b d) (*.f64 (/.f64 1 (pow.f64 d 2)) (/.f64 a (/.f64 1 c))))
(/.f64 (+.f64 (*.f64 -1 b) (*.f64 -1 (/.f64 (*.f64 a c) d))) (hypot.f64 c d))
(/.f64 (*.f64 b d) (pow.f64 (hypot.f64 c d) 2))
(/.f64 a (/.f64 (fma.f64 d d (pow.f64 c 2)) c))
(/.f64 b (/.f64 (fma.f64 d d (pow.f64 c 2)) d))
(*.f64 (/.f64 c (hypot.f64 c d)) (/.f64 a (hypot.f64 c d)))
(/.f64 (/.f64 (*.f64 a c) (hypot.f64 c d)) (hypot.f64 c d))
(/.f64 (/.f64 (*.f64 d b) (hypot.f64 c d)) (hypot.f64 c d))
(*.f64 (/.f64 1 (hypot.f64 c d)) (/.f64 (*.f64 b d) (hypot.f64 c d)))
(/.f64 1 (*.f64 (/.f64 (hypot.f64 c d) (*.f64 a c)) (hypot.f64 c d)))
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 (/.f64 c d) a)))
(/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) (+.f64 (*.f64 c c) (*.f64 d d)))
(/.f64 (+.f64 a (/.f64 b (/.f64 c d))) (hypot.f64 c d))
Calls

1 calls:

129.0ms
c
Results
AccuracySegmentsBranch
86.7%5c
Compiler

Compiled 5 to 4 computations (20% saved)

regimes282.0ms (2.3%)

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

3 calls:

136.0ms
a
80.0ms
c
63.0ms
d
Results
AccuracySegmentsBranch
79.1%4d
74.4%8a
84.4%5c
Compiler

Compiled 15 to 12 computations (20% saved)

regimes77.0ms (0.6%)

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

1 calls:

74.0ms
c
Results
AccuracySegmentsBranch
83.3%5c
Compiler

Compiled 5 to 4 computations (20% saved)

regimes160.0ms (1.3%)

Counts
31 → 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 (/.f64 1 c) b)
(*.f64 (/.f64 1 d) b)
(*.f64 (/.f64 1 d) (+.f64 b (*.f64 (/.f64 c d) a)))
(*.f64 (/.f64 1 d) (+.f64 b (/.f64 a (/.f64 d c))))
(+.f64 (/.f64 b d) (*.f64 (/.f64 a d) (/.f64 c d)))
(/.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 a (/.f64 c (pow.f64 d 2)))
(*.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 1 (/.f64 (hypot.f64 d c) b))
(*.f64 (/.f64 1 (hypot.f64 c d)) (neg.f64 a))
(*.f64 (/.f64 1 (hypot.f64 c d)) (neg.f64 b))
(/.f64 1 (*.f64 (/.f64 -1 b) (hypot.f64 c d)))
(/.f64 1 (*.f64 (/.f64 1 b) (hypot.f64 c d)))
(/.f64 a (+.f64 c (/.f64 (pow.f64 d 2) c)))
(/.f64 (*.f64 b (/.f64 (neg.f64 d) c)) (hypot.f64 c d))
(/.f64 (*.f64 d (/.f64 (neg.f64 b) c)) (hypot.f64 c d))
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 (/.f64 c d) a)))
(/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) (+.f64 (*.f64 c c) (*.f64 d d)))
(/.f64 a c)
Calls

1 calls:

158.0ms
c
Results
AccuracySegmentsBranch
82.1%5c
Compiler

Compiled 5 to 4 computations (20% saved)

regimes48.0ms (0.4%)

Counts
18 → 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 (/.f64 1 c) b)
(*.f64 (/.f64 1 d) b)
(*.f64 (/.f64 1 d) (+.f64 b (*.f64 (/.f64 c d) a)))
(*.f64 (/.f64 1 d) (+.f64 b (/.f64 a (/.f64 d c))))
(+.f64 (/.f64 b d) (*.f64 (/.f64 a d) (/.f64 c d)))
(/.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 (/.f64 c d) a)))
(/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) (+.f64 (*.f64 c c) (*.f64 d d)))
(/.f64 a c)
Calls

1 calls:

47.0ms
c
Results
AccuracySegmentsBranch
82.1%5c
Compiler

Compiled 5 to 4 computations (20% saved)

regimes211.0ms (1.7%)

Counts
16 → 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 (/.f64 1 c) b)
(*.f64 (/.f64 1 d) b)
(*.f64 (/.f64 1 d) (+.f64 b (*.f64 (/.f64 c d) a)))
(*.f64 (/.f64 1 d) (+.f64 b (/.f64 a (/.f64 d c))))
(+.f64 (/.f64 b d) (*.f64 (/.f64 a d) (/.f64 c d)))
(/.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 a c)
(*.f64 (/.f64 1 d) (+.f64 b (*.f64 (/.f64 c d) a)))
(/.f64 (*.f64 c a) (+.f64 (*.f64 c c) (*.f64 d d)))
(*.f64 (/.f64 1 d) (+.f64 b (*.f64 (/.f64 c d) a)))
(/.f64 a c)
Calls

3 calls:

106.0ms
d
52.0ms
b
51.0ms
c
Results
AccuracySegmentsBranch
63.8%7b
75.1%8d
75.4%5c
Compiler

Compiled 15 to 12 computations (20% saved)

regimes40.0ms (0.3%)

Counts
14 → 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 (/.f64 1 c) b)
(*.f64 (/.f64 1 d) b)
(*.f64 (/.f64 1 d) (+.f64 b (*.f64 (/.f64 c d) a)))
(*.f64 (/.f64 1 d) (+.f64 b (/.f64 a (/.f64 d c))))
(+.f64 (/.f64 b d) (*.f64 (/.f64 a d) (/.f64 c d)))
(/.f64 (*.f64 b d) (+.f64 (*.f64 c c) (*.f64 d d)))
Outputs
(/.f64 a c)
(*.f64 (/.f64 1 d) (+.f64 b (*.f64 (/.f64 c d) a)))
(/.f64 a c)
Calls

1 calls:

38.0ms
c
Results
AccuracySegmentsBranch
73.8%3c
Compiler

Compiled 5 to 4 computations (20% saved)

regimes78.0ms (0.6%)

Counts
10 → 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 (/.f64 1 c) b)
(*.f64 (/.f64 1 d) b)
Outputs
(/.f64 a c)
(/.f64 b d)
(/.f64 a c)
Calls

3 calls:

38.0ms
a
22.0ms
d
17.0ms
c
Results
AccuracySegmentsBranch
56.9%7a
64.6%3d
65.2%3c
Compiler

Compiled 15 to 12 computations (20% saved)

regimes15.0ms (0.1%)

Accuracy

Total -24.9b remaining (-68.4%)

Threshold costs -24.9b (-68.4%)

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

4 calls:

4.0ms
d
3.0ms
c
3.0ms
a
3.0ms
b
Results
AccuracySegmentsBranch
43.1%1a
43.1%1b
43.1%1d
43.1%1c
Compiler

Compiled 20 to 16 computations (20% saved)

bsearch1.0ms (0%)

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

Compiled 26 to 17 computations (34.6% saved)

bsearch41.0ms (0.3%)

Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
narrow-enough
narrow-enough
Steps
TimeLeftRight
15.0ms
2.0385090384392148e+77
2.2517555986179865e+79
13.0ms
2.3257726597302294e-106
2.5199627978491215e-105
9.0ms
-2.3705015202850058e-164
-1.6374932545427336e-164
4.0ms
-2.228824674052977e+102
-2.0557502523295025e+102
Results
32.0ms262×256valid
3.0ms10×256infinite
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 650 to 424 computations (34.8% saved)

bsearch43.0ms (0.4%)

Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
narrow-enough
narrow-enough
Steps
TimeLeftRight
17.0ms
2.0385090384392148e+77
2.2517555986179865e+79
14.0ms
2.3257726597302294e-106
2.5199627978491215e-105
6.0ms
-2.3705015202850058e-164
-1.6374932545427336e-164
6.0ms
-2.228824674052977e+102
-2.0557502523295025e+102
Results
35.0ms256×256valid
2.0ms16×256infinite
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 676 to 424 computations (37.3% saved)

bsearch55.0ms (0.4%)

Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
narrow-enough
narrow-enough
Steps
TimeLeftRight
15.0ms
2.0385090384392148e+77
2.2517555986179865e+79
13.0ms
2.3257726597302294e-106
2.5199627978491215e-105
7.0ms
-2.3705015202850058e-164
-1.6374932545427336e-164
19.0ms
-2.9753151865756754e+60
-1.271848992041368e+57
Results
45.0ms358×256valid
1.0ms10×256infinite
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
Compiler

Compiled 890 to 562 computations (36.9% saved)

bsearch196.0ms (1.6%)

Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
narrow-enough
narrow-enough
Steps
TimeLeftRight
155.0ms
2.0385090384392148e+77
2.2517555986179865e+79
13.0ms
2.3257726597302294e-106
2.5199627978491215e-105
8.0ms
-2.3705015202850058e-164
-1.6374932545427336e-164
20.0ms
-2.9753151865756754e+60
-1.271848992041368e+57
Results
186.0ms356×256valid
2.0ms12×256infinite
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 890 to 569 computations (36.1% saved)

bsearch148.0ms (1.2%)

Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
narrow-enough
narrow-enough
Steps
TimeLeftRight
19.0ms
1.0568483591999296e+151
2.0173891830640496e+158
118.0ms
2.3257726597302294e-106
2.5199627978491215e-105
6.0ms
-2.3705015202850058e-164
-1.6374932545427336e-164
4.0ms
-2.228824674052977e+102
-2.0557502523295025e+102
Results
139.0ms281×256valid
3.0ms23×256infinite
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
Compiler

Compiled 664 to 426 computations (35.8% saved)

bsearch55.0ms (0.4%)

Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
narrow-enough
narrow-enough
Steps
TimeLeftRight
20.0ms
1.0568483591999296e+151
2.0173891830640496e+158
14.0ms
2.3257726597302294e-106
2.5199627978491215e-105
6.0ms
-2.3705015202850058e-164
-1.6374932545427336e-164
5.0ms
-2.228824674052977e+102
-2.0557502523295025e+102
Results
35.0ms288×256valid
2.0ms16×256infinite
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 658 to 422 computations (35.9% saved)

bsearch156.0ms (1.3%)

Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
narrow-enough
narrow-enough
Steps
TimeLeftRight
14.0ms
2.0385090384392148e+77
2.2517555986179865e+79
104.0ms
2.919718002153528e+35
5.686942669658568e+43
17.0ms
2.5199627978491215e-105
6.0369298053155e-101
20.0ms
-2.728424357826801e-27
-8.587170444161073e-35
Results
146.0ms501×256valid
1.0ms11×256infinite
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 954 to 646 computations (32.3% saved)

bsearch45.0ms (0.4%)

Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
15.0ms
2.0385090384392148e+77
2.2517555986179865e+79
30.0ms
-2.728424357826801e-27
-8.587170444161073e-35
Results
28.0ms235×256valid
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 410 to 289 computations (29.5% saved)

bsearch72.0ms (0.6%)

Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
52.0ms
2.0385090384392148e+77
2.2517555986179865e+79
20.0ms
-2.728424357826801e-27
-8.587170444161073e-35
Results
30.0ms238×256valid
0.0ms256infinite
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
Compiler

Compiled 282 to 209 computations (25.9% saved)

simplify52.0ms (0.4%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
01432374
11732374
21832374
31942374
42022374
52062374
62072374
Stop Event
fuel
saturated
Calls
Call 1
Inputs
(if (<=.f64 (/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) (+.f64 (*.f64 c c) (*.f64 d d))) +inf.0) (/.f64 (/.f64 (fma.f64 b d (*.f64 a c)) (hypot.f64 c d)) (hypot.f64 c d)) (*.f64 (/.f64 c (hypot.f64 c d)) (/.f64 a (hypot.f64 c d))))
(if (<=.f64 c -2059999999999999990021240057139391616254164614055312020162003017748985319527225484271680542571916951552) (/.f64 (-.f64 (neg.f64 a) (/.f64 b (/.f64 c d))) (hypot.f64 c d)) (if (<=.f64 c -5964928630266427/259344723055062059907025491480697571938277889515152306249728583105665800713306759149981690559193987143012367913206299323899696942213235956742929677132122730441323862712594345230336) (/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) (+.f64 (*.f64 c c) (*.f64 d d))) (if (<=.f64 c 1355681185995627/1291124939043454294827959586001505937164852896414611756415329678270323811008420597314822676640068915717951585986373746688) (*.f64 (/.f64 1 d) (+.f64 b (*.f64 (/.f64 c d) a))) (if (<=.f64 c 6600000000000000014920287529321888588708311938418057440338597436998962995265536) (/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) (pow.f64 (hypot.f64 c d) 2)) (/.f64 (+.f64 a (/.f64 b (/.f64 c d))) (hypot.f64 c d))))))
(if (<=.f64 c -2200000000000000073839738285986401121428616020538340038600028843747314954913732028157049100992669286400) (/.f64 (-.f64 (neg.f64 a) (/.f64 b (/.f64 c d))) (hypot.f64 c d)) (if (<=.f64 c -5964928630266427/259344723055062059907025491480697571938277889515152306249728583105665800713306759149981690559193987143012367913206299323899696942213235956742929677132122730441323862712594345230336) (/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) (+.f64 (*.f64 c c) (*.f64 d d))) (if (<=.f64 c 8056619619631155/20657999024695268717247353376024094994637646342633788102645274852325180976134729557037162826241102651487225375781979947008) (*.f64 (/.f64 1 d) (+.f64 b (*.f64 (/.f64 c d) a))) (if (<=.f64 c 4200000000000000159086051820587205661447942375116082460464186153870236755951616) (/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) (+.f64 (*.f64 c c) (*.f64 d d))) (/.f64 (+.f64 a (/.f64 b (/.f64 c d))) (hypot.f64 c d))))))
(if (<=.f64 c -1050000000000000053900069014874710889683274970276215805444096) (+.f64 (/.f64 a c) (*.f64 (/.f64 b (pow.f64 c 2)) d)) (if (<=.f64 c -5964928630266427/259344723055062059907025491480697571938277889515152306249728583105665800713306759149981690559193987143012367913206299323899696942213235956742929677132122730441323862712594345230336) (/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) (+.f64 (*.f64 c c) (*.f64 d d))) (if (<=.f64 c 7488524646452035/5164499756173817179311838344006023748659411585658447025661318713081295244033682389259290706560275662871806343945494986752) (*.f64 (/.f64 1 d) (+.f64 b (*.f64 (/.f64 c d) a))) (if (<=.f64 c 6199999999999999764697155357665101075003386584975977446570217950880864730611712) (/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) (+.f64 (*.f64 c c) (*.f64 d d))) (/.f64 (+.f64 a (/.f64 b (/.f64 c d))) (hypot.f64 c d))))))
(if (<=.f64 c -369999999999999997329776602859435642682265810381782011346944) (+.f64 (/.f64 a c) (*.f64 (/.f64 b (pow.f64 c 2)) d)) (if (<=.f64 c -5964928630266427/259344723055062059907025491480697571938277889515152306249728583105665800713306759149981690559193987143012367913206299323899696942213235956742929677132122730441323862712594345230336) (/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) (+.f64 (*.f64 c c) (*.f64 d d))) (if (<=.f64 c 6817139678149439/20657999024695268717247353376024094994637646342633788102645274852325180976134729557037162826241102651487225375781979947008) (*.f64 (/.f64 1 d) (+.f64 b (*.f64 (/.f64 c d) a))) (if (<=.f64 c 1450000000000000084306575461652833659695763127552287486042442820388174535065600) (/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) (+.f64 (*.f64 c c) (*.f64 d d))) (+.f64 (/.f64 a c) (*.f64 (/.f64 b (pow.f64 c 2)) d))))))
(if (<=.f64 c -2150000000000000043904560347112469155294883375365830032015019620176482942275693976769417472985257738240) (/.f64 (neg.f64 a) (hypot.f64 c d)) (if (<=.f64 c -5964928630266427/259344723055062059907025491480697571938277889515152306249728583105665800713306759149981690559193987143012367913206299323899696942213235956742929677132122730441323862712594345230336) (/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) (+.f64 (*.f64 c c) (*.f64 d d))) (if (<=.f64 c 2259468643326045/1291124939043454294827959586001505937164852896414611756415329678270323811008420597314822676640068915717951585986373746688) (*.f64 (/.f64 1 d) (+.f64 b (*.f64 (/.f64 c d) a))) (if (<=.f64 c 1050000000000000083451894193183225223380418638772480878139616948604628707926215895366211738206236283543061889990792898121254712840699179674325774269153280) (/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) (+.f64 (*.f64 c c) (*.f64 d d))) (/.f64 a c)))))
(if (<=.f64 c -2100000000000000013969382408238537189161150730193320025430010396605650929637655925381785844977846190080) (/.f64 a c) (if (<=.f64 c -5964928630266427/259344723055062059907025491480697571938277889515152306249728583105665800713306759149981690559193987143012367913206299323899696942213235956742929677132122730441323862712594345230336) (/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) (+.f64 (*.f64 c c) (*.f64 d d))) (if (<=.f64 c 6197399707408581/20657999024695268717247353376024094994637646342633788102645274852325180976134729557037162826241102651487225375781979947008) (*.f64 (/.f64 1 d) (+.f64 b (*.f64 (/.f64 c d) a))) (if (<=.f64 c 92000000000000003324745917933486696177993696506821069439876687345403632293169823898294457506477809263905944540833151425869818218334418697979681763753984) (/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) (+.f64 (*.f64 c c) (*.f64 d d))) (/.f64 a c)))))
(if (<=.f64 c -7526501504504085/5575186299632655785383929568162090376495104) (/.f64 a c) (if (<=.f64 c 2364120371783669/39402006196394479212279040100143613805079739270465446667948293404245721771497210611414266254884915640806627990306816) (*.f64 (/.f64 1 d) (+.f64 b (*.f64 (/.f64 c d) a))) (if (<=.f64 c 8599999999999999550407602513821198798815232) (/.f64 (*.f64 c a) (+.f64 (*.f64 c c) (*.f64 d d))) (if (<=.f64 c 209999999999999987385495624514284756135282336788922810739010987273763545939968) (*.f64 (/.f64 1 d) (+.f64 b (*.f64 (/.f64 c d) a))) (/.f64 a c)))))
(if (<=.f64 c -5023911878324979/91343852333181432387730302044767688728495783936) (/.f64 a c) (if (<=.f64 c 2649999999999999806535623650869419853954800089534461853137665257755054736146432) (*.f64 (/.f64 1 d) (+.f64 b (*.f64 (/.f64 c d) a))) (/.f64 a c)))
(if (<=.f64 c -7526501504504085/2787593149816327892691964784081045188247552) (/.f64 a c) (if (<=.f64 c 205000000000000004826513438883650439151085551837778123101104564117035609489408) (/.f64 b d) (/.f64 a c)))
(/.f64 a c)
Outputs
(if (<=.f64 (/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) (+.f64 (*.f64 c c) (*.f64 d d))) +inf.0) (/.f64 (/.f64 (fma.f64 b d (*.f64 a c)) (hypot.f64 c d)) (hypot.f64 c d)) (*.f64 (/.f64 c (hypot.f64 c d)) (/.f64 a (hypot.f64 c d))))
(if (<=.f64 c -2059999999999999990021240057139391616254164614055312020162003017748985319527225484271680542571916951552) (/.f64 (-.f64 (neg.f64 a) (/.f64 b (/.f64 c d))) (hypot.f64 c d)) (if (<=.f64 c -5964928630266427/259344723055062059907025491480697571938277889515152306249728583105665800713306759149981690559193987143012367913206299323899696942213235956742929677132122730441323862712594345230336) (/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) (+.f64 (*.f64 c c) (*.f64 d d))) (if (<=.f64 c 1355681185995627/1291124939043454294827959586001505937164852896414611756415329678270323811008420597314822676640068915717951585986373746688) (*.f64 (/.f64 1 d) (+.f64 b (*.f64 (/.f64 c d) a))) (if (<=.f64 c 6600000000000000014920287529321888588708311938418057440338597436998962995265536) (/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) (pow.f64 (hypot.f64 c d) 2)) (/.f64 (+.f64 a (/.f64 b (/.f64 c d))) (hypot.f64 c d))))))
(if (<=.f64 c -2059999999999999990021240057139391616254164614055312020162003017748985319527225484271680542571916951552) (/.f64 (-.f64 (neg.f64 a) (/.f64 b (/.f64 c d))) (hypot.f64 c d)) (if (<=.f64 c -5964928630266427/259344723055062059907025491480697571938277889515152306249728583105665800713306759149981690559193987143012367913206299323899696942213235956742929677132122730441323862712594345230336) (/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) (+.f64 (*.f64 c c) (*.f64 d d))) (if (<=.f64 c 1355681185995627/1291124939043454294827959586001505937164852896414611756415329678270323811008420597314822676640068915717951585986373746688) (*.f64 (/.f64 1 d) (+.f64 b (*.f64 a (/.f64 c d)))) (if (<=.f64 c 6600000000000000014920287529321888588708311938418057440338597436998962995265536) (/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) (pow.f64 (hypot.f64 c d) 2)) (/.f64 (+.f64 a (/.f64 b (/.f64 c d))) (hypot.f64 c d))))))
(if (<=.f64 c -2200000000000000073839738285986401121428616020538340038600028843747314954913732028157049100992669286400) (/.f64 (-.f64 (neg.f64 a) (/.f64 b (/.f64 c d))) (hypot.f64 c d)) (if (<=.f64 c -5964928630266427/259344723055062059907025491480697571938277889515152306249728583105665800713306759149981690559193987143012367913206299323899696942213235956742929677132122730441323862712594345230336) (/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) (+.f64 (*.f64 c c) (*.f64 d d))) (if (<=.f64 c 8056619619631155/20657999024695268717247353376024094994637646342633788102645274852325180976134729557037162826241102651487225375781979947008) (*.f64 (/.f64 1 d) (+.f64 b (*.f64 (/.f64 c d) a))) (if (<=.f64 c 4200000000000000159086051820587205661447942375116082460464186153870236755951616) (/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) (+.f64 (*.f64 c c) (*.f64 d d))) (/.f64 (+.f64 a (/.f64 b (/.f64 c d))) (hypot.f64 c d))))))
(if (<=.f64 c -2200000000000000073839738285986401121428616020538340038600028843747314954913732028157049100992669286400) (/.f64 (-.f64 (neg.f64 a) (/.f64 b (/.f64 c d))) (hypot.f64 c d)) (if (<=.f64 c -5964928630266427/259344723055062059907025491480697571938277889515152306249728583105665800713306759149981690559193987143012367913206299323899696942213235956742929677132122730441323862712594345230336) (/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) (+.f64 (*.f64 c c) (*.f64 d d))) (if (<=.f64 c 8056619619631155/20657999024695268717247353376024094994637646342633788102645274852325180976134729557037162826241102651487225375781979947008) (*.f64 (/.f64 1 d) (+.f64 b (*.f64 a (/.f64 c d)))) (if (<=.f64 c 4200000000000000159086051820587205661447942375116082460464186153870236755951616) (/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) (+.f64 (*.f64 c c) (*.f64 d d))) (/.f64 (+.f64 a (/.f64 b (/.f64 c d))) (hypot.f64 c d))))))
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(if (<=.f64 c -369999999999999997329776602859435642682265810381782011346944) (+.f64 (/.f64 a c) (*.f64 (/.f64 b (pow.f64 c 2)) d)) (if (<=.f64 c -5964928630266427/259344723055062059907025491480697571938277889515152306249728583105665800713306759149981690559193987143012367913206299323899696942213235956742929677132122730441323862712594345230336) (/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) (+.f64 (*.f64 c c) (*.f64 d d))) (if (<=.f64 c 6817139678149439/20657999024695268717247353376024094994637646342633788102645274852325180976134729557037162826241102651487225375781979947008) (*.f64 (/.f64 1 d) (+.f64 b (*.f64 (/.f64 c d) a))) (if (<=.f64 c 1450000000000000084306575461652833659695763127552287486042442820388174535065600) (/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) (+.f64 (*.f64 c c) (*.f64 d d))) (+.f64 (/.f64 a c) (*.f64 (/.f64 b (pow.f64 c 2)) d))))))
(if (<=.f64 c -369999999999999997329776602859435642682265810381782011346944) (+.f64 (/.f64 a c) (*.f64 d (/.f64 b (pow.f64 c 2)))) (if (<=.f64 c -5964928630266427/259344723055062059907025491480697571938277889515152306249728583105665800713306759149981690559193987143012367913206299323899696942213235956742929677132122730441323862712594345230336) (/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) (+.f64 (*.f64 c c) (*.f64 d d))) (if (<=.f64 c 6817139678149439/20657999024695268717247353376024094994637646342633788102645274852325180976134729557037162826241102651487225375781979947008) (*.f64 (/.f64 1 d) (+.f64 b (*.f64 a (/.f64 c d)))) (if (<=.f64 c 1450000000000000084306575461652833659695763127552287486042442820388174535065600) (/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) (+.f64 (*.f64 c c) (*.f64 d d))) (+.f64 (/.f64 a c) (*.f64 d (/.f64 b (pow.f64 c 2))))))))
(if (<=.f64 c -2150000000000000043904560347112469155294883375365830032015019620176482942275693976769417472985257738240) (/.f64 (neg.f64 a) (hypot.f64 c d)) (if (<=.f64 c -5964928630266427/259344723055062059907025491480697571938277889515152306249728583105665800713306759149981690559193987143012367913206299323899696942213235956742929677132122730441323862712594345230336) (/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) (+.f64 (*.f64 c c) (*.f64 d d))) (if (<=.f64 c 2259468643326045/1291124939043454294827959586001505937164852896414611756415329678270323811008420597314822676640068915717951585986373746688) (*.f64 (/.f64 1 d) (+.f64 b (*.f64 (/.f64 c d) a))) (if (<=.f64 c 1050000000000000083451894193183225223380418638772480878139616948604628707926215895366211738206236283543061889990792898121254712840699179674325774269153280) (/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) (+.f64 (*.f64 c c) (*.f64 d d))) (/.f64 a c)))))
(if (<=.f64 c -2150000000000000043904560347112469155294883375365830032015019620176482942275693976769417472985257738240) (/.f64 (neg.f64 a) (hypot.f64 c d)) (if (<=.f64 c -5964928630266427/259344723055062059907025491480697571938277889515152306249728583105665800713306759149981690559193987143012367913206299323899696942213235956742929677132122730441323862712594345230336) (/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) (+.f64 (*.f64 c c) (*.f64 d d))) (if (<=.f64 c 2259468643326045/1291124939043454294827959586001505937164852896414611756415329678270323811008420597314822676640068915717951585986373746688) (*.f64 (/.f64 1 d) (+.f64 b (*.f64 a (/.f64 c d)))) (if (<=.f64 c 1050000000000000083451894193183225223380418638772480878139616948604628707926215895366211738206236283543061889990792898121254712840699179674325774269153280) (/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) (+.f64 (*.f64 c c) (*.f64 d d))) (/.f64 a c)))))
(if (<=.f64 c -2100000000000000013969382408238537189161150730193320025430010396605650929637655925381785844977846190080) (/.f64 a c) (if (<=.f64 c -5964928630266427/259344723055062059907025491480697571938277889515152306249728583105665800713306759149981690559193987143012367913206299323899696942213235956742929677132122730441323862712594345230336) (/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) (+.f64 (*.f64 c c) (*.f64 d d))) (if (<=.f64 c 6197399707408581/20657999024695268717247353376024094994637646342633788102645274852325180976134729557037162826241102651487225375781979947008) (*.f64 (/.f64 1 d) (+.f64 b (*.f64 (/.f64 c d) a))) (if (<=.f64 c 92000000000000003324745917933486696177993696506821069439876687345403632293169823898294457506477809263905944540833151425869818218334418697979681763753984) (/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) (+.f64 (*.f64 c c) (*.f64 d d))) (/.f64 a c)))))
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(if (<=.f64 c -5023911878324979/91343852333181432387730302044767688728495783936) (/.f64 a c) (if (<=.f64 c 2649999999999999806535623650869419853954800089534461853137665257755054736146432) (*.f64 (/.f64 1 d) (+.f64 b (*.f64 (/.f64 c d) a))) (/.f64 a c)))
(if (or (<=.f64 c -5023911878324979/91343852333181432387730302044767688728495783936) (not (<=.f64 c 2649999999999999806535623650869419853954800089534461853137665257755054736146432))) (/.f64 a c) (*.f64 (/.f64 1 d) (+.f64 b (*.f64 a (/.f64 c d)))))
(if (<=.f64 c -7526501504504085/2787593149816327892691964784081045188247552) (/.f64 a c) (if (<=.f64 c 205000000000000004826513438883650439151085551837778123101104564117035609489408) (/.f64 b d) (/.f64 a c)))
(if (or (<=.f64 c -7526501504504085/2787593149816327892691964784081045188247552) (not (<=.f64 c 205000000000000004826513438883650439151085551837778123101104564117035609489408))) (/.f64 a c) (/.f64 b d))
(/.f64 a c)
Compiler

Compiled 628 to 305 computations (51.4% saved)

soundness3.3s (27%)

Rules
1706×fma-def
1706×fma-def
1706×fma-def
1130×times-frac
1130×times-frac
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
018107
125497
2352097
034342
1568338
27763338
0101035120
1269934345
0115341918
1307940701
029358
1455323
26881323
018107
125497
2352097
038810457
194910361
2359710189
0101035120
1269934345
038810457
194910361
2359710189
0101035120
1269934345
038810457
194910361
2359710189
034342
1568338
27763338
Stop Event
node limit
node limit
node limit
node limit
node limit
node limit
node limit
node limit
node limit
node limit
node limit
node limit
Compiler

Compiled 768 to 280 computations (63.5% saved)

end1.0ms (0%)

preprocess394.0ms (3.2%)

Compiler

Compiled 1294 to 416 computations (67.9% saved)

Profiling

Loading profile data...