Complex division, real part

Time bar (total: 9.7s)

analyze23.0ms (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)

sample951.0ms (9.8%)

Results
893.0ms7829×body256valid
46.0ms427×body256infinite
Bogosity

preprocess155.0ms (1.6%)

Algorithm
egg-herbie
Rules
1340×fma-neg
1088×fma-def
800×sub-neg
678×associate-/r*
656×div-sub
Problems
146×No Errors
108×(/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) (+.f64 (*.f64 c c) (*.f64 d d)))
(+.f64 (*.f64 a c) (*.f64 b d))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
061436
1126436
2212436
3359436
4746436
51906436
64905436
76534436
87469436
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))))
(/.f64 (+.f64 (*.f64 b c) (*.f64 a d)) (+.f64 (*.f64 c c) (*.f64 d d)))
(/.f64 (+.f64 (*.f64 c a) (*.f64 b d)) (+.f64 (*.f64 a a) (*.f64 d d)))
(/.f64 (+.f64 (*.f64 d c) (*.f64 b a)) (+.f64 (*.f64 c c) (*.f64 a a)))
(/.f64 (+.f64 (*.f64 a b) (*.f64 c d)) (+.f64 (*.f64 b b) (*.f64 d d)))
(/.f64 (+.f64 (*.f64 a c) (*.f64 d b)) (+.f64 (*.f64 c c) (*.f64 b b)))
(/.f64 (+.f64 (*.f64 a d) (*.f64 b c)) (+.f64 (*.f64 d d) (*.f64 c c)))
Outputs
(/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) (+.f64 (*.f64 c c) (*.f64 d d)))
(/.f64 (fma.f64 a c (*.f64 b d)) (fma.f64 c c (*.f64 d d)))
(/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) (+.f64 (*.f64 c c) (*.f64 d d)))
(/.f64 (fma.f64 a c (*.f64 b d)) (fma.f64 c c (*.f64 d d)))
(/.f64 (+.f64 (*.f64 (neg.f64 a) c) (*.f64 b d)) (+.f64 (*.f64 c c) (*.f64 d d)))
(/.f64 (fma.f64 a (neg.f64 c) (*.f64 b d)) (fma.f64 c c (*.f64 d d)))
(/.f64 (-.f64 (*.f64 b d) (*.f64 a c)) (fma.f64 c c (*.f64 d d)))
(/.f64 (+.f64 (*.f64 a c) (*.f64 (neg.f64 b) d)) (+.f64 (*.f64 c c) (*.f64 d d)))
(/.f64 (fma.f64 a c (*.f64 b (neg.f64 d))) (fma.f64 c c (*.f64 d d)))
(/.f64 (-.f64 (*.f64 a c) (*.f64 b d)) (fma.f64 c c (*.f64 d d)))
(/.f64 (+.f64 (*.f64 a (neg.f64 c)) (*.f64 b d)) (+.f64 (*.f64 (neg.f64 c) (neg.f64 c)) (*.f64 d d)))
(/.f64 (fma.f64 a (neg.f64 c) (*.f64 b d)) (fma.f64 c c (*.f64 d d)))
(/.f64 (-.f64 (*.f64 b d) (*.f64 a c)) (fma.f64 c c (*.f64 d d)))
(/.f64 (+.f64 (*.f64 a c) (*.f64 b (neg.f64 d))) (+.f64 (*.f64 c c) (*.f64 (neg.f64 d) (neg.f64 d))))
(/.f64 (fma.f64 a c (*.f64 b (neg.f64 d))) (fma.f64 c c (*.f64 d d)))
(/.f64 (-.f64 (*.f64 a c) (*.f64 b d)) (fma.f64 c c (*.f64 d d)))
(/.f64 (+.f64 (*.f64 b c) (*.f64 a d)) (+.f64 (*.f64 c c) (*.f64 d d)))
(/.f64 (fma.f64 a d (*.f64 c b)) (fma.f64 c c (*.f64 d d)))
(/.f64 (fma.f64 c b (*.f64 a d)) (fma.f64 c c (*.f64 d d)))
(/.f64 (+.f64 (*.f64 c a) (*.f64 b d)) (+.f64 (*.f64 a a) (*.f64 d d)))
(/.f64 (fma.f64 a c (*.f64 b d)) (fma.f64 a a (*.f64 d d)))
(/.f64 (+.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 (fma.f64 a c (*.f64 b d)) (fma.f64 b b (*.f64 c c)))
(/.f64 (+.f64 (*.f64 a d) (*.f64 b c)) (+.f64 (*.f64 d d) (*.f64 c c)))
(/.f64 (fma.f64 a d (*.f64 c b)) (fma.f64 c c (*.f64 d d)))
(/.f64 (fma.f64 c b (*.f64 a d)) (fma.f64 c c (*.f64 d d)))
Compiler

Compiled 69 to 23 computations (66.7% saved)

eval0.0ms (0%)

Compiler

Compiled 17 to 9 computations (47.1% saved)

prune2.0ms (0%)

Alt Table
Click to see full alt table
StatusAccuracyProgram
59.0%
(/.f64 (fma.f64 a c (*.f64 b d)) (fma.f64 c c (*.f64 d d)))
59.0%
(/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) (+.f64 (*.f64 c c) (*.f64 d d)))
59.0%
(/.f64 (fma.f64 a c (*.f64 b d)) (fma.f64 c c (*.f64 d d)))
59.0%
(/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) (+.f64 (*.f64 c c) (*.f64 d d)))
Compiler

Compiled 72 to 40 computations (44.4% saved)

localize62.0ms (0.6%)

Localize:

Found 5 expressions with local error:

NewAccuracyProgram
100.0%
(fma.f64 a c (*.f64 b d))
59.3%
(/.f64 (fma.f64 a c (*.f64 b d)) (fma.f64 c c (*.f64 d d)))
100.0%
(+.f64 (*.f64 c c) (*.f64 d d))
98.6%
(+.f64 (*.f64 a c) (*.f64 b d))
59.3%
(/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) (+.f64 (*.f64 c c) (*.f64 d d)))
Compiler

Compiled 85 to 15 computations (82.4% saved)

series15.0ms (0.2%)

Counts
5 → 180
Calls

54 calls:

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

rewrite100.0ms (1%)

Algorithm
batch-egg-rewrite
Rules
1560×log-prod
1128×fma-def
554×expm1-udef
554×log1p-udef
480×log-pow
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
017115
1364109
24372109
Stop Event
node limit
Counts
5 → 234
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))
(/.f64 (fma.f64 a c (*.f64 b d)) (fma.f64 c c (*.f64 d d)))
(fma.f64 a c (*.f64 b d))
Outputs
(+.f64 0 (/.f64 (fma.f64 a c (*.f64 b d)) (pow.f64 (hypot.f64 c d) 2)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (/.f64 (fma.f64 a c (*.f64 b d)) (pow.f64 (hypot.f64 c d) 2)))) (cbrt.f64 (exp.f64 (/.f64 (fma.f64 a c (*.f64 b d)) (pow.f64 (hypot.f64 c d) 2)))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (fma.f64 a c (*.f64 b d)) (pow.f64 (hypot.f64 c d) 2))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (fma.f64 a c (*.f64 b d)) (pow.f64 (hypot.f64 c d) 2))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (fma.f64 a c (*.f64 b d)) (pow.f64 (hypot.f64 c 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 (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 (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 (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 (/.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 (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 c 6) (pow.f64 d 6))) (-.f64 (+.f64 (pow.f64 c 4) (pow.f64 d 4)) (pow.f64 (*.f64 c d) 2)))
(*.f64 (/.f64 (fma.f64 a c (*.f64 b d)) (-.f64 (pow.f64 c 4) (pow.f64 d 4))) (*.f64 (+.f64 c d) (-.f64 c d)))
(pow.f64 (/.f64 (fma.f64 a c (*.f64 b d)) (pow.f64 (hypot.f64 c d) 2)) 1)
(pow.f64 (cbrt.f64 (/.f64 (fma.f64 a c (*.f64 b d)) (pow.f64 (hypot.f64 c d) 2))) 3)
(pow.f64 (pow.f64 (/.f64 (fma.f64 a c (*.f64 b d)) (pow.f64 (hypot.f64 c d) 2)) 3) 1/3)
(pow.f64 (/.f64 (sqrt.f64 (fma.f64 a c (*.f64 b d))) (hypot.f64 c d)) 2)
(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) (-.f64 (*.f64 a c) (*.f64 b d))) (/.f64 (pow.f64 (*.f64 b d) 2) (-.f64 (*.f64 a c) (*.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 b d) 3) (pow.f64 (*.f64 a c) 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 (-.f64 (*.f64 a c) (*.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 b d) 3) (pow.f64 (*.f64 a c) 3))))
(/.f64 1 (/.f64 (-.f64 (*.f64 a c) (*.f64 b d)) (-.f64 (pow.f64 (*.f64 a c) 2) (pow.f64 (*.f64 b d) 2))))
(/.f64 (+.f64 (pow.f64 (*.f64 b d) 3) (pow.f64 (*.f64 a c) 3)) (fma.f64 (*.f64 b d) (-.f64 (*.f64 b d) (*.f64 a c)) (pow.f64 (*.f64 a c) 2)))
(/.f64 (+.f64 (pow.f64 (*.f64 b d) 3) (pow.f64 (*.f64 a c) 3)) (+.f64 (pow.f64 (*.f64 b d) 2) (-.f64 (pow.f64 (*.f64 a c) 2) (*.f64 a (*.f64 c (*.f64 b d))))))
(/.f64 (-.f64 (pow.f64 (*.f64 a c) 2) (pow.f64 (*.f64 b d) 2)) (-.f64 (*.f64 a c) (*.f64 b d)))
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 b d) 3) (pow.f64 (*.f64 a c) 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 (-.f64 (*.f64 a c) (*.f64 b d))))
(/.f64 (-.f64 (pow.f64 (*.f64 b d) 2) (pow.f64 (*.f64 a c) 2)) (-.f64 (*.f64 b d) (*.f64 a c)))
(pow.f64 (fma.f64 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 a) c) (+.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 a) c)))
(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 b) 2) (*.f64 (cbrt.f64 b) d) (*.f64 a c))
(fma.f64 (pow.f64 (cbrt.f64 a) 2) (*.f64 (cbrt.f64 a) c) (*.f64 b d))
(fma.f64 (pow.f64 (cbrt.f64 d) 2) (*.f64 (cbrt.f64 d) b) (*.f64 a c))
(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 (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 (pow.f64 (cbrt.f64 c) 2) (*.f64 (cbrt.f64 c) a) (*.f64 b d))
(fma.f64 (sqrt.f64 b) (*.f64 (sqrt.f64 b) d) (*.f64 a c))
(fma.f64 (sqrt.f64 a) (*.f64 (sqrt.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 (*.f64 a c)) (sqrt.f64 (*.f64 a c)) (*.f64 b d))
(fma.f64 (sqrt.f64 d) (*.f64 (sqrt.f64 d) b) (*.f64 a c))
(fma.f64 (sqrt.f64 c) (*.f64 (sqrt.f64 c) 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))
(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 (pow.f64 (cbrt.f64 a) 2)) (cbrt.f64 a) (*.f64 b d))
(fma.f64 (*.f64 c (sqrt.f64 a)) (sqrt.f64 a) (*.f64 b d))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (hypot.f64 c d) 2))) 1)
(-.f64 (/.f64 (pow.f64 c 4) (*.f64 (+.f64 c d) (-.f64 c d))) (/.f64 (pow.f64 d 4) (*.f64 (+.f64 c d) (-.f64 c d))))
(*.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 c 6) (pow.f64 d 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 (+.f64 c d) (-.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 c 6) (pow.f64 d 6))))
(/.f64 1 (/.f64 (*.f64 (+.f64 c d) (-.f64 c d)) (-.f64 (pow.f64 c 4) (pow.f64 d 4))))
(/.f64 (+.f64 (pow.f64 c 6) (pow.f64 d 6)) (-.f64 (+.f64 (pow.f64 c 4) (pow.f64 d 4)) (pow.f64 (*.f64 c d) 2)))
(/.f64 (+.f64 (pow.f64 c 6) (pow.f64 d 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 (+.f64 c d) (-.f64 c d)))
(/.f64 (neg.f64 (+.f64 (pow.f64 c 6) (pow.f64 d 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 (+.f64 c d) (-.f64 c d))))
(/.f64 (-.f64 (pow.f64 d 4) (pow.f64 c 4)) (-.f64 (*.f64 d d) (*.f64 c c)))
(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 (pow.f64 (exp.f64 c) c) (+.f64 1 (expm1.f64 (*.f64 d d)))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 c c))) (pow.f64 (exp.f64 d) d)))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 c c))) (+.f64 1 (expm1.f64 (*.f64 d d)))))
(log.f64 (*.f64 (pow.f64 (exp.f64 d) d) (+.f64 1 (expm1.f64 (*.f64 c c)))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 d d))) (pow.f64 (exp.f64 c) c)))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 d d))) (+.f64 1 (expm1.f64 (*.f64 c c)))))
(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 (*.f64 d d))
(fma.f64 d d (*.f64 c c))
(fma.f64 (*.f64 c c) 1 (*.f64 d d))
(fma.f64 (*.f64 d d) 1 (*.f64 c c))
(fma.f64 1 (*.f64 c c) (*.f64 d d))
(fma.f64 1 (*.f64 d d) (*.f64 c c))
(fma.f64 (pow.f64 (cbrt.f64 d) 2) (cbrt.f64 (pow.f64 d 4)) (*.f64 c c))
(fma.f64 (pow.f64 (cbrt.f64 d) 2) (*.f64 (cbrt.f64 d) d) (*.f64 c c))
(fma.f64 (cbrt.f64 (pow.f64 d 4)) (pow.f64 (cbrt.f64 d) 2) (*.f64 c c))
(fma.f64 (pow.f64 (cbrt.f64 c) 2) (cbrt.f64 (pow.f64 c 4)) (*.f64 d d))
(fma.f64 (pow.f64 (cbrt.f64 c) 2) (*.f64 (cbrt.f64 c) c) (*.f64 d d))
(fma.f64 (cbrt.f64 (pow.f64 c 4)) (pow.f64 (cbrt.f64 c) 2) (*.f64 d d))
(fma.f64 (sqrt.f64 d) (*.f64 (sqrt.f64 d) d) (*.f64 c c))
(fma.f64 (sqrt.f64 c) (*.f64 (sqrt.f64 c) c) (*.f64 d d))
(fma.f64 (*.f64 d (sqrt.f64 d)) (sqrt.f64 d) (*.f64 c c))
(fma.f64 (*.f64 c (sqrt.f64 c)) (sqrt.f64 c) (*.f64 d d))
(fma.f64 (*.f64 d (pow.f64 (cbrt.f64 d) 2)) (cbrt.f64 d) (*.f64 c c))
(fma.f64 (*.f64 c (pow.f64 (cbrt.f64 c) 2)) (cbrt.f64 c) (*.f64 d d))
(+.f64 0 (/.f64 (fma.f64 a c (*.f64 b d)) (pow.f64 (hypot.f64 c d) 2)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (/.f64 (fma.f64 a c (*.f64 b d)) (pow.f64 (hypot.f64 c d) 2)))) (cbrt.f64 (exp.f64 (/.f64 (fma.f64 a c (*.f64 b d)) (pow.f64 (hypot.f64 c d) 2)))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (fma.f64 a c (*.f64 b d)) (pow.f64 (hypot.f64 c d) 2))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (fma.f64 a c (*.f64 b d)) (pow.f64 (hypot.f64 c d) 2))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (fma.f64 a c (*.f64 b d)) (pow.f64 (hypot.f64 c 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 (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 (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 (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 (/.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 (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 c 6) (pow.f64 d 6))) (-.f64 (+.f64 (pow.f64 c 4) (pow.f64 d 4)) (pow.f64 (*.f64 c d) 2)))
(*.f64 (/.f64 (fma.f64 a c (*.f64 b d)) (-.f64 (pow.f64 c 4) (pow.f64 d 4))) (*.f64 (+.f64 c d) (-.f64 c d)))
(pow.f64 (/.f64 (fma.f64 a c (*.f64 b d)) (pow.f64 (hypot.f64 c d) 2)) 1)
(pow.f64 (cbrt.f64 (/.f64 (fma.f64 a c (*.f64 b d)) (pow.f64 (hypot.f64 c d) 2))) 3)
(pow.f64 (pow.f64 (/.f64 (fma.f64 a c (*.f64 b d)) (pow.f64 (hypot.f64 c d) 2)) 3) 1/3)
(pow.f64 (/.f64 (sqrt.f64 (fma.f64 a c (*.f64 b d))) (hypot.f64 c d)) 2)
(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 (*.f64 a c) (*.f64 b d))
(+.f64 (*.f64 b d) (*.f64 a c))
(+.f64 0 (fma.f64 a c (*.f64 b d)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (fma.f64 a c (*.f64 b d)))) (cbrt.f64 (exp.f64 (fma.f64 a c (*.f64 b d)))))) (log.f64 (cbrt.f64 (exp.f64 (fma.f64 a c (*.f64 b d))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (fma.f64 a c (*.f64 b d))))) (log.f64 (sqrt.f64 (exp.f64 (fma.f64 a c (*.f64 b d))))))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 a c (*.f64 b d)))) 1)
(-.f64 (/.f64 (pow.f64 (*.f64 a c) 2) (-.f64 (*.f64 a c) (*.f64 b d))) (/.f64 (pow.f64 (*.f64 b d) 2) (-.f64 (*.f64 a c) (*.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 b d) 3) (pow.f64 (*.f64 a c) 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 (-.f64 (*.f64 a c) (*.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 b d) 3) (pow.f64 (*.f64 a c) 3))))
(/.f64 1 (/.f64 (-.f64 (*.f64 a c) (*.f64 b d)) (-.f64 (pow.f64 (*.f64 a c) 2) (pow.f64 (*.f64 b d) 2))))
(/.f64 (+.f64 (pow.f64 (*.f64 b d) 3) (pow.f64 (*.f64 a c) 3)) (fma.f64 (*.f64 b d) (-.f64 (*.f64 b d) (*.f64 a c)) (pow.f64 (*.f64 a c) 2)))
(/.f64 (+.f64 (pow.f64 (*.f64 b d) 3) (pow.f64 (*.f64 a c) 3)) (+.f64 (pow.f64 (*.f64 b d) 2) (-.f64 (pow.f64 (*.f64 a c) 2) (*.f64 a (*.f64 c (*.f64 b d))))))
(/.f64 (-.f64 (pow.f64 (*.f64 a c) 2) (pow.f64 (*.f64 b d) 2)) (-.f64 (*.f64 a c) (*.f64 b d)))
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 b d) 3) (pow.f64 (*.f64 a c) 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 (-.f64 (*.f64 a c) (*.f64 b d))))
(/.f64 (-.f64 (pow.f64 (*.f64 b d) 2) (pow.f64 (*.f64 a c) 2)) (-.f64 (*.f64 b d) (*.f64 a c)))
(pow.f64 (fma.f64 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 a) c) (+.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 a) c)))
(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))))

simplify141.0ms (1.4%)

Algorithm
egg-herbie
Rules
714×log-prod
654×cancel-sign-sub-inv
476×distribute-rgt-neg-in
460×distribute-lft-neg-in
430×associate-*r*
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
040913000
1100712736
2389212736
Stop Event
node limit
Counts
414 → 229
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)))
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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 b d) (*.f64 a c))
(+.f64 0 (fma.f64 a c (*.f64 b d)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (fma.f64 a c (*.f64 b d)))) (cbrt.f64 (exp.f64 (fma.f64 a c (*.f64 b d)))))) (log.f64 (cbrt.f64 (exp.f64 (fma.f64 a c (*.f64 b d))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (fma.f64 a c (*.f64 b d))))) (log.f64 (sqrt.f64 (exp.f64 (fma.f64 a c (*.f64 b d))))))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 a c (*.f64 b d)))) 1)
(-.f64 (/.f64 (pow.f64 (*.f64 a c) 2) (-.f64 (*.f64 a c) (*.f64 b d))) (/.f64 (pow.f64 (*.f64 b d) 2) (-.f64 (*.f64 a c) (*.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 b d) 3) (pow.f64 (*.f64 a c) 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 (-.f64 (*.f64 a c) (*.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 b d) 3) (pow.f64 (*.f64 a c) 3))))
(/.f64 1 (/.f64 (-.f64 (*.f64 a c) (*.f64 b d)) (-.f64 (pow.f64 (*.f64 a c) 2) (pow.f64 (*.f64 b d) 2))))
(/.f64 (+.f64 (pow.f64 (*.f64 b d) 3) (pow.f64 (*.f64 a c) 3)) (fma.f64 (*.f64 b d) (-.f64 (*.f64 b d) (*.f64 a c)) (pow.f64 (*.f64 a c) 2)))
(/.f64 (+.f64 (pow.f64 (*.f64 b d) 3) (pow.f64 (*.f64 a c) 3)) (+.f64 (pow.f64 (*.f64 b d) 2) (-.f64 (pow.f64 (*.f64 a c) 2) (*.f64 a (*.f64 c (*.f64 b d))))))
(/.f64 (-.f64 (pow.f64 (*.f64 a c) 2) (pow.f64 (*.f64 b d) 2)) (-.f64 (*.f64 a c) (*.f64 b d)))
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 b d) 3) (pow.f64 (*.f64 a c) 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 (-.f64 (*.f64 a c) (*.f64 b d))))
(/.f64 (-.f64 (pow.f64 (*.f64 b d) 2) (pow.f64 (*.f64 a c) 2)) (-.f64 (*.f64 b d) (*.f64 a c)))
(pow.f64 (fma.f64 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 a) c) (+.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 a) c)))
(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))))
Outputs
(/.f64 (*.f64 b d) (+.f64 (pow.f64 c 2) (pow.f64 d 2)))
(/.f64 b (/.f64 (fma.f64 d d (*.f64 c c)) d))
(*.f64 (/.f64 b (fma.f64 d d (*.f64 c c))) 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 (*.f64 c c)) d)) (/.f64 a (/.f64 (fma.f64 d d (*.f64 c c)) c)))
(+.f64 (/.f64 b (/.f64 (fma.f64 d d (*.f64 c c)) d)) (*.f64 (/.f64 a (fma.f64 d d (*.f64 c c))) c))
(+.f64 (*.f64 (/.f64 b (fma.f64 d d (*.f64 c c))) d) (*.f64 (/.f64 a (fma.f64 d d (*.f64 c c))) c))
(+.f64 (/.f64 (*.f64 a c) (+.f64 (pow.f64 c 2) (pow.f64 d 2))) (/.f64 (*.f64 b d) (+.f64 (pow.f64 c 2) (pow.f64 d 2))))
(+.f64 (/.f64 b (/.f64 (fma.f64 d d (*.f64 c c)) d)) (/.f64 a (/.f64 (fma.f64 d d (*.f64 c c)) c)))
(+.f64 (/.f64 b (/.f64 (fma.f64 d d (*.f64 c c)) d)) (*.f64 (/.f64 a (fma.f64 d d (*.f64 c c))) c))
(+.f64 (*.f64 (/.f64 b (fma.f64 d d (*.f64 c c))) d) (*.f64 (/.f64 a (fma.f64 d d (*.f64 c c))) c))
(+.f64 (/.f64 (*.f64 a c) (+.f64 (pow.f64 c 2) (pow.f64 d 2))) (/.f64 (*.f64 b d) (+.f64 (pow.f64 c 2) (pow.f64 d 2))))
(+.f64 (/.f64 b (/.f64 (fma.f64 d d (*.f64 c c)) d)) (/.f64 a (/.f64 (fma.f64 d d (*.f64 c c)) c)))
(+.f64 (/.f64 b (/.f64 (fma.f64 d d (*.f64 c c)) d)) (*.f64 (/.f64 a (fma.f64 d d (*.f64 c c))) c))
(+.f64 (*.f64 (/.f64 b (fma.f64 d d (*.f64 c c))) d) (*.f64 (/.f64 a (fma.f64 d d (*.f64 c c))) c))
(/.f64 (*.f64 a c) (+.f64 (pow.f64 c 2) (pow.f64 d 2)))
(/.f64 a (/.f64 (fma.f64 d d (*.f64 c c)) c))
(*.f64 (/.f64 a (fma.f64 d d (*.f64 c c))) c)
(+.f64 (/.f64 (*.f64 a c) (+.f64 (pow.f64 c 2) (pow.f64 d 2))) (/.f64 (*.f64 b d) (+.f64 (pow.f64 c 2) (pow.f64 d 2))))
(+.f64 (/.f64 b (/.f64 (fma.f64 d d (*.f64 c c)) d)) (/.f64 a (/.f64 (fma.f64 d d (*.f64 c c)) c)))
(+.f64 (/.f64 b (/.f64 (fma.f64 d d (*.f64 c c)) d)) (*.f64 (/.f64 a (fma.f64 d d (*.f64 c c))) c))
(+.f64 (*.f64 (/.f64 b (fma.f64 d d (*.f64 c c))) d) (*.f64 (/.f64 a (fma.f64 d d (*.f64 c c))) c))
(+.f64 (/.f64 (*.f64 a c) (+.f64 (pow.f64 c 2) (pow.f64 d 2))) (/.f64 (*.f64 b d) (+.f64 (pow.f64 c 2) (pow.f64 d 2))))
(+.f64 (/.f64 b (/.f64 (fma.f64 d d (*.f64 c c)) d)) (/.f64 a (/.f64 (fma.f64 d d (*.f64 c c)) c)))
(+.f64 (/.f64 b (/.f64 (fma.f64 d d (*.f64 c c)) d)) (*.f64 (/.f64 a (fma.f64 d d (*.f64 c c))) c))
(+.f64 (*.f64 (/.f64 b (fma.f64 d d (*.f64 c c))) d) (*.f64 (/.f64 a (fma.f64 d d (*.f64 c c))) c))
(+.f64 (/.f64 (*.f64 a c) (+.f64 (pow.f64 c 2) (pow.f64 d 2))) (/.f64 (*.f64 b d) (+.f64 (pow.f64 c 2) (pow.f64 d 2))))
(+.f64 (/.f64 b (/.f64 (fma.f64 d d (*.f64 c c)) d)) (/.f64 a (/.f64 (fma.f64 d d (*.f64 c c)) c)))
(+.f64 (/.f64 b (/.f64 (fma.f64 d d (*.f64 c c)) d)) (*.f64 (/.f64 a (fma.f64 d d (*.f64 c c))) c))
(+.f64 (*.f64 (/.f64 b (fma.f64 d d (*.f64 c c))) d) (*.f64 (/.f64 a (fma.f64 d d (*.f64 c c))) c))
(/.f64 (*.f64 a c) (+.f64 (pow.f64 c 2) (pow.f64 d 2)))
(/.f64 a (/.f64 (fma.f64 d d (*.f64 c c)) c))
(*.f64 (/.f64 a (fma.f64 d d (*.f64 c c))) c)
(+.f64 (/.f64 (*.f64 a c) (+.f64 (pow.f64 c 2) (pow.f64 d 2))) (/.f64 (*.f64 b d) (+.f64 (pow.f64 c 2) (pow.f64 d 2))))
(+.f64 (/.f64 b (/.f64 (fma.f64 d d (*.f64 c c)) d)) (/.f64 a (/.f64 (fma.f64 d d (*.f64 c c)) c)))
(+.f64 (/.f64 b (/.f64 (fma.f64 d d (*.f64 c c)) d)) (*.f64 (/.f64 a (fma.f64 d d (*.f64 c c))) c))
(+.f64 (*.f64 (/.f64 b (fma.f64 d d (*.f64 c c))) d) (*.f64 (/.f64 a (fma.f64 d d (*.f64 c c))) c))
(+.f64 (/.f64 (*.f64 a c) (+.f64 (pow.f64 c 2) (pow.f64 d 2))) (/.f64 (*.f64 b d) (+.f64 (pow.f64 c 2) (pow.f64 d 2))))
(+.f64 (/.f64 b (/.f64 (fma.f64 d d (*.f64 c c)) d)) (/.f64 a (/.f64 (fma.f64 d d (*.f64 c c)) c)))
(+.f64 (/.f64 b (/.f64 (fma.f64 d d (*.f64 c c)) d)) (*.f64 (/.f64 a (fma.f64 d d (*.f64 c c))) c))
(+.f64 (*.f64 (/.f64 b (fma.f64 d d (*.f64 c c))) d) (*.f64 (/.f64 a (fma.f64 d d (*.f64 c c))) c))
(+.f64 (/.f64 (*.f64 a c) (+.f64 (pow.f64 c 2) (pow.f64 d 2))) (/.f64 (*.f64 b d) (+.f64 (pow.f64 c 2) (pow.f64 d 2))))
(+.f64 (/.f64 b (/.f64 (fma.f64 d d (*.f64 c c)) d)) (/.f64 a (/.f64 (fma.f64 d d (*.f64 c c)) c)))
(+.f64 (/.f64 b (/.f64 (fma.f64 d d (*.f64 c c)) d)) (*.f64 (/.f64 a (fma.f64 d d (*.f64 c c))) c))
(+.f64 (*.f64 (/.f64 b (fma.f64 d d (*.f64 c c))) d) (*.f64 (/.f64 a (fma.f64 d d (*.f64 c c))) c))
(/.f64 b d)
(+.f64 (/.f64 b d) (/.f64 (*.f64 a c) (pow.f64 d 2)))
(+.f64 (/.f64 b d) (/.f64 a (/.f64 (*.f64 d d) c)))
(+.f64 (/.f64 b d) (*.f64 (/.f64 c d) (/.f64 a d)))
(+.f64 (*.f64 -1 (/.f64 (*.f64 b (pow.f64 c 2)) (pow.f64 d 3))) (+.f64 (/.f64 b d) (/.f64 (*.f64 a c) (pow.f64 d 2))))
(fma.f64 -1 (/.f64 b (/.f64 (pow.f64 d 3) (*.f64 c c))) (+.f64 (/.f64 b d) (/.f64 a (/.f64 (*.f64 d d) c))))
(-.f64 (+.f64 (/.f64 b d) (*.f64 (/.f64 c d) (/.f64 a d))) (*.f64 (/.f64 b (pow.f64 d 3)) (*.f64 c c)))
(+.f64 (/.f64 b d) (-.f64 (*.f64 (/.f64 c d) (/.f64 a d)) (*.f64 (/.f64 b (pow.f64 d 3)) (*.f64 c c))))
(+.f64 (*.f64 -1 (/.f64 (*.f64 a (pow.f64 c 3)) (pow.f64 d 4))) (+.f64 (*.f64 -1 (/.f64 (*.f64 b (pow.f64 c 2)) (pow.f64 d 3))) (+.f64 (/.f64 b d) (/.f64 (*.f64 a c) (pow.f64 d 2)))))
(fma.f64 -1 (/.f64 a (/.f64 (pow.f64 d 4) (pow.f64 c 3))) (fma.f64 -1 (/.f64 b (/.f64 (pow.f64 d 3) (*.f64 c c))) (+.f64 (/.f64 b d) (/.f64 a (/.f64 (*.f64 d d) c)))))
(-.f64 (-.f64 (+.f64 (/.f64 b d) (*.f64 (/.f64 c d) (/.f64 a d))) (*.f64 (/.f64 b (pow.f64 d 3)) (*.f64 c c))) (*.f64 (/.f64 a (pow.f64 d 4)) (pow.f64 c 3)))
(-.f64 (+.f64 (/.f64 b d) (*.f64 (/.f64 c d) (/.f64 a d))) (+.f64 (/.f64 a (/.f64 (pow.f64 d 4) (pow.f64 c 3))) (*.f64 (/.f64 b (pow.f64 d 3)) (*.f64 c c))))
(/.f64 a c)
(+.f64 (/.f64 a c) (/.f64 (*.f64 b d) (pow.f64 c 2)))
(+.f64 (/.f64 a c) (/.f64 b (/.f64 (*.f64 c c) d)))
(+.f64 (/.f64 a c) (/.f64 (*.f64 b d) (*.f64 c c)))
(+.f64 (/.f64 a c) (*.f64 (/.f64 d c) (/.f64 b c)))
(+.f64 (*.f64 -1 (/.f64 (*.f64 a (pow.f64 d 2)) (pow.f64 c 3))) (+.f64 (/.f64 a c) (/.f64 (*.f64 b d) (pow.f64 c 2))))
(fma.f64 -1 (/.f64 a (/.f64 (pow.f64 c 3) (*.f64 d d))) (+.f64 (/.f64 a c) (/.f64 b (/.f64 (*.f64 c c) d))))
(-.f64 (+.f64 (/.f64 a c) (/.f64 (*.f64 b d) (*.f64 c c))) (*.f64 (/.f64 a (pow.f64 c 3)) (*.f64 d d)))
(+.f64 (/.f64 a c) (-.f64 (*.f64 (/.f64 d c) (/.f64 b c)) (*.f64 (/.f64 a (pow.f64 c 3)) (*.f64 d d))))
(+.f64 (*.f64 -1 (/.f64 (*.f64 a (pow.f64 d 2)) (pow.f64 c 3))) (+.f64 (*.f64 -1 (/.f64 (*.f64 b (pow.f64 d 3)) (pow.f64 c 4))) (+.f64 (/.f64 a c) (/.f64 (*.f64 b d) (pow.f64 c 2)))))
(fma.f64 -1 (/.f64 a (/.f64 (pow.f64 c 3) (*.f64 d d))) (fma.f64 -1 (/.f64 b (/.f64 (pow.f64 c 4) (pow.f64 d 3))) (+.f64 (/.f64 a c) (/.f64 b (/.f64 (*.f64 c c) d)))))
(-.f64 (-.f64 (+.f64 (/.f64 a c) (/.f64 (*.f64 b d) (*.f64 c c))) (*.f64 (/.f64 b (pow.f64 c 4)) (pow.f64 d 3))) (*.f64 (/.f64 a (pow.f64 c 3)) (*.f64 d d)))
(+.f64 (-.f64 (/.f64 a c) (*.f64 (/.f64 b (pow.f64 c 4)) (pow.f64 d 3))) (-.f64 (*.f64 (/.f64 d c) (/.f64 b c)) (*.f64 (/.f64 a (pow.f64 c 3)) (*.f64 d d))))
(/.f64 a c)
(+.f64 (/.f64 a c) (/.f64 (*.f64 b d) (pow.f64 c 2)))
(+.f64 (/.f64 a c) (/.f64 b (/.f64 (*.f64 c c) d)))
(+.f64 (/.f64 a c) (/.f64 (*.f64 b d) (*.f64 c c)))
(+.f64 (/.f64 a c) (*.f64 (/.f64 d c) (/.f64 b c)))
(+.f64 (*.f64 -1 (/.f64 (*.f64 a (pow.f64 d 2)) (pow.f64 c 3))) (+.f64 (/.f64 a c) (/.f64 (*.f64 b d) (pow.f64 c 2))))
(fma.f64 -1 (/.f64 a (/.f64 (pow.f64 c 3) (*.f64 d d))) (+.f64 (/.f64 a c) (/.f64 b (/.f64 (*.f64 c c) d))))
(-.f64 (+.f64 (/.f64 a c) (/.f64 (*.f64 b d) (*.f64 c c))) (*.f64 (/.f64 a (pow.f64 c 3)) (*.f64 d d)))
(+.f64 (/.f64 a c) (-.f64 (*.f64 (/.f64 d c) (/.f64 b c)) (*.f64 (/.f64 a (pow.f64 c 3)) (*.f64 d d))))
(+.f64 (*.f64 -1 (/.f64 (*.f64 a (pow.f64 d 2)) (pow.f64 c 3))) (+.f64 (*.f64 -1 (/.f64 (*.f64 b (pow.f64 d 3)) (pow.f64 c 4))) (+.f64 (/.f64 a c) (/.f64 (*.f64 b d) (pow.f64 c 2)))))
(fma.f64 -1 (/.f64 a (/.f64 (pow.f64 c 3) (*.f64 d d))) (fma.f64 -1 (/.f64 b (/.f64 (pow.f64 c 4) (pow.f64 d 3))) (+.f64 (/.f64 a c) (/.f64 b (/.f64 (*.f64 c c) d)))))
(-.f64 (-.f64 (+.f64 (/.f64 a c) (/.f64 (*.f64 b d) (*.f64 c c))) (*.f64 (/.f64 b (pow.f64 c 4)) (pow.f64 d 3))) (*.f64 (/.f64 a (pow.f64 c 3)) (*.f64 d d)))
(+.f64 (-.f64 (/.f64 a c) (*.f64 (/.f64 b (pow.f64 c 4)) (pow.f64 d 3))) (-.f64 (*.f64 (/.f64 d c) (/.f64 b c)) (*.f64 (/.f64 a (pow.f64 c 3)) (*.f64 d d))))
(/.f64 (*.f64 a c) (+.f64 (pow.f64 c 2) (pow.f64 d 2)))
(/.f64 a (/.f64 (fma.f64 d d (*.f64 c c)) c))
(*.f64 (/.f64 a (fma.f64 d d (*.f64 c c))) c)
(+.f64 (/.f64 (*.f64 a c) (+.f64 (pow.f64 c 2) (pow.f64 d 2))) (/.f64 (*.f64 b d) (+.f64 (pow.f64 c 2) (pow.f64 d 2))))
(+.f64 (/.f64 b (/.f64 (fma.f64 d d (*.f64 c c)) d)) (/.f64 a (/.f64 (fma.f64 d d (*.f64 c c)) c)))
(+.f64 (/.f64 b (/.f64 (fma.f64 d d (*.f64 c c)) d)) (*.f64 (/.f64 a (fma.f64 d d (*.f64 c c))) c))
(+.f64 (*.f64 (/.f64 b (fma.f64 d d (*.f64 c c))) d) (*.f64 (/.f64 a (fma.f64 d d (*.f64 c c))) c))
(+.f64 (/.f64 (*.f64 a c) (+.f64 (pow.f64 c 2) (pow.f64 d 2))) (/.f64 (*.f64 b d) (+.f64 (pow.f64 c 2) (pow.f64 d 2))))
(+.f64 (/.f64 b (/.f64 (fma.f64 d d (*.f64 c c)) d)) (/.f64 a (/.f64 (fma.f64 d d (*.f64 c c)) c)))
(+.f64 (/.f64 b (/.f64 (fma.f64 d d (*.f64 c c)) d)) (*.f64 (/.f64 a (fma.f64 d d (*.f64 c c))) c))
(+.f64 (*.f64 (/.f64 b (fma.f64 d d (*.f64 c c))) d) (*.f64 (/.f64 a (fma.f64 d d (*.f64 c c))) c))
(+.f64 (/.f64 (*.f64 a c) (+.f64 (pow.f64 c 2) (pow.f64 d 2))) (/.f64 (*.f64 b d) (+.f64 (pow.f64 c 2) (pow.f64 d 2))))
(+.f64 (/.f64 b (/.f64 (fma.f64 d d (*.f64 c c)) d)) (/.f64 a (/.f64 (fma.f64 d d (*.f64 c c)) c)))
(+.f64 (/.f64 b (/.f64 (fma.f64 d d (*.f64 c c)) d)) (*.f64 (/.f64 a (fma.f64 d d (*.f64 c c))) c))
(+.f64 (*.f64 (/.f64 b (fma.f64 d d (*.f64 c c))) d) (*.f64 (/.f64 a (fma.f64 d d (*.f64 c c))) c))
(/.f64 (*.f64 b d) (+.f64 (pow.f64 c 2) (pow.f64 d 2)))
(/.f64 b (/.f64 (fma.f64 d d (*.f64 c c)) d))
(*.f64 (/.f64 b (fma.f64 d d (*.f64 c c))) 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 (*.f64 c c)) d)) (/.f64 a (/.f64 (fma.f64 d d (*.f64 c c)) c)))
(+.f64 (/.f64 b (/.f64 (fma.f64 d d (*.f64 c c)) d)) (*.f64 (/.f64 a (fma.f64 d d (*.f64 c c))) c))
(+.f64 (*.f64 (/.f64 b (fma.f64 d d (*.f64 c c))) d) (*.f64 (/.f64 a (fma.f64 d d (*.f64 c c))) c))
(+.f64 (/.f64 (*.f64 a c) (+.f64 (pow.f64 c 2) (pow.f64 d 2))) (/.f64 (*.f64 b d) (+.f64 (pow.f64 c 2) (pow.f64 d 2))))
(+.f64 (/.f64 b (/.f64 (fma.f64 d d (*.f64 c c)) d)) (/.f64 a (/.f64 (fma.f64 d d (*.f64 c c)) c)))
(+.f64 (/.f64 b (/.f64 (fma.f64 d d (*.f64 c c)) d)) (*.f64 (/.f64 a (fma.f64 d d (*.f64 c c))) c))
(+.f64 (*.f64 (/.f64 b (fma.f64 d d (*.f64 c c))) d) (*.f64 (/.f64 a (fma.f64 d d (*.f64 c c))) 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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(pow.f64 (cbrt.f64 (/.f64 (fma.f64 a c (*.f64 b d)) (pow.f64 (hypot.f64 c d) 2))) 3)
(/.f64 (fma.f64 b d (*.f64 c a)) (pow.f64 (hypot.f64 c d) 2))
(pow.f64 (pow.f64 (/.f64 (fma.f64 a c (*.f64 b d)) (pow.f64 (hypot.f64 c d) 2)) 3) 1/3)
(/.f64 (fma.f64 b d (*.f64 c a)) (pow.f64 (hypot.f64 c d) 2))
(pow.f64 (/.f64 (sqrt.f64 (fma.f64 a c (*.f64 b d))) (hypot.f64 c d)) 2)
(/.f64 (fma.f64 b d (*.f64 c a)) (pow.f64 (hypot.f64 c d) 2))
(pow.f64 (/.f64 (pow.f64 (hypot.f64 c d) 2) (fma.f64 a c (*.f64 b d))) -1)
(/.f64 (fma.f64 b d (*.f64 c a)) (pow.f64 (hypot.f64 c d) 2))
(neg.f64 (/.f64 (fma.f64 a c (*.f64 b d)) (neg.f64 (pow.f64 (hypot.f64 c d) 2))))
(/.f64 (fma.f64 b d (*.f64 c a)) (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))
(/.f64 (fma.f64 b d (*.f64 c a)) (pow.f64 (hypot.f64 c d) 2))
(log.f64 (exp.f64 (/.f64 (fma.f64 a c (*.f64 b d)) (pow.f64 (hypot.f64 c d) 2))))
(/.f64 (fma.f64 b d (*.f64 c a)) (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)))))
(/.f64 (fma.f64 b d (*.f64 c a)) (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))
(/.f64 (fma.f64 b d (*.f64 c a)) (pow.f64 (hypot.f64 c d) 2))
(cbrt.f64 (/.f64 (pow.f64 (fma.f64 a c (*.f64 b d)) 3) (pow.f64 (pow.f64 (hypot.f64 c d) 2) 3)))
(/.f64 (fma.f64 b d (*.f64 c a)) (pow.f64 (hypot.f64 c d) 2))
(expm1.f64 (log1p.f64 (/.f64 (fma.f64 a c (*.f64 b d)) (pow.f64 (hypot.f64 c d) 2))))
(/.f64 (fma.f64 b d (*.f64 c a)) (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))))
(/.f64 (fma.f64 b d (*.f64 c a)) (pow.f64 (hypot.f64 c d) 2))
(exp.f64 (*.f64 (log.f64 (/.f64 (fma.f64 a c (*.f64 b d)) (pow.f64 (hypot.f64 c d) 2))) 1))
(/.f64 (fma.f64 b d (*.f64 c a)) (pow.f64 (hypot.f64 c d) 2))
(log1p.f64 (expm1.f64 (/.f64 (fma.f64 a c (*.f64 b d)) (pow.f64 (hypot.f64 c d) 2))))
(/.f64 (fma.f64 b d (*.f64 c a)) (pow.f64 (hypot.f64 c d) 2))
(+.f64 (*.f64 a c) (*.f64 b d))
(fma.f64 b d (*.f64 c a))
(+.f64 (*.f64 b d) (*.f64 a c))
(fma.f64 b d (*.f64 c a))
(+.f64 0 (fma.f64 a c (*.f64 b d)))
(fma.f64 b d (*.f64 c a))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (fma.f64 a c (*.f64 b d)))) (cbrt.f64 (exp.f64 (fma.f64 a c (*.f64 b d)))))) (log.f64 (cbrt.f64 (exp.f64 (fma.f64 a c (*.f64 b d))))))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (fma.f64 b d (*.f64 c a)))) (cbrt.f64 (exp.f64 (fma.f64 b d (*.f64 c a)))))) (log.f64 (cbrt.f64 (exp.f64 (fma.f64 b d (*.f64 c a))))))
(+.f64 (*.f64 2 (log.f64 (cbrt.f64 (exp.f64 (fma.f64 b d (*.f64 c a)))))) (log.f64 (cbrt.f64 (exp.f64 (fma.f64 b d (*.f64 c a))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (fma.f64 a c (*.f64 b d))))) (log.f64 (sqrt.f64 (exp.f64 (fma.f64 a c (*.f64 b d))))))
(*.f64 2 (log.f64 (sqrt.f64 (exp.f64 (fma.f64 b d (*.f64 c a))))))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 a c (*.f64 b d)))) 1)
(fma.f64 b d (*.f64 c a))
(-.f64 (/.f64 (pow.f64 (*.f64 a c) 2) (-.f64 (*.f64 a c) (*.f64 b d))) (/.f64 (pow.f64 (*.f64 b d) 2) (-.f64 (*.f64 a c) (*.f64 b d))))
(/.f64 (-.f64 (pow.f64 (*.f64 c a) 2) (pow.f64 (*.f64 b d) 2)) (-.f64 (*.f64 c a) (*.f64 b d)))
(/.f64 (-.f64 (pow.f64 (*.f64 b d) 2) (pow.f64 (*.f64 c a) 2)) (-.f64 (*.f64 b d) (*.f64 c a)))
(*.f64 (fma.f64 a c (*.f64 b d)) 1)
(fma.f64 b d (*.f64 c a))
(*.f64 1 (fma.f64 a c (*.f64 b d)))
(fma.f64 b d (*.f64 c a))
(*.f64 (cbrt.f64 (fma.f64 a c (*.f64 b d))) (pow.f64 (cbrt.f64 (fma.f64 a c (*.f64 b d))) 2))
(fma.f64 b d (*.f64 c a))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 a c (*.f64 b d))) 2) (cbrt.f64 (fma.f64 a c (*.f64 b d))))
(fma.f64 b d (*.f64 c a))
(*.f64 (sqrt.f64 (fma.f64 a c (*.f64 b d))) (sqrt.f64 (fma.f64 a c (*.f64 b d))))
(fma.f64 b d (*.f64 c a))
(*.f64 (+.f64 (pow.f64 (*.f64 b d) 3) (pow.f64 (*.f64 a c) 3)) (/.f64 1 (fma.f64 (*.f64 b d) (-.f64 (*.f64 b d) (*.f64 a c)) (pow.f64 (*.f64 a c) 2))))
(/.f64 (*.f64 (+.f64 (pow.f64 (*.f64 b d) 3) (pow.f64 (*.f64 c a) 3)) 1) (fma.f64 (*.f64 b d) (-.f64 (*.f64 b d) (*.f64 c a)) (pow.f64 (*.f64 c a) 2)))
(/.f64 (+.f64 (pow.f64 (*.f64 b d) 3) (pow.f64 (*.f64 c a) 3)) (fma.f64 (*.f64 b d) (-.f64 (*.f64 b d) (*.f64 c a)) (pow.f64 (*.f64 c a) 2)))
(*.f64 (-.f64 (pow.f64 (*.f64 a c) 2) (pow.f64 (*.f64 b d) 2)) (/.f64 1 (-.f64 (*.f64 a c) (*.f64 b d))))
(/.f64 (-.f64 (pow.f64 (*.f64 c a) 2) (pow.f64 (*.f64 b d) 2)) (-.f64 (*.f64 c a) (*.f64 b d)))
(/.f64 (-.f64 (pow.f64 (*.f64 b d) 2) (pow.f64 (*.f64 c a) 2)) (-.f64 (*.f64 b d) (*.f64 c a)))
(/.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 b d) 3) (pow.f64 (*.f64 a c) 3))))
(/.f64 (*.f64 (+.f64 (pow.f64 (*.f64 b d) 3) (pow.f64 (*.f64 c a) 3)) 1) (fma.f64 (*.f64 b d) (-.f64 (*.f64 b d) (*.f64 c a)) (pow.f64 (*.f64 c a) 2)))
(/.f64 (+.f64 (pow.f64 (*.f64 b d) 3) (pow.f64 (*.f64 c a) 3)) (fma.f64 (*.f64 b d) (-.f64 (*.f64 b d) (*.f64 c a)) (pow.f64 (*.f64 c a) 2)))
(/.f64 1 (/.f64 (-.f64 (*.f64 a c) (*.f64 b d)) (-.f64 (pow.f64 (*.f64 a c) 2) (pow.f64 (*.f64 b d) 2))))
(/.f64 (-.f64 (pow.f64 (*.f64 c a) 2) (pow.f64 (*.f64 b d) 2)) (-.f64 (*.f64 c a) (*.f64 b d)))
(/.f64 (-.f64 (pow.f64 (*.f64 b d) 2) (pow.f64 (*.f64 c a) 2)) (-.f64 (*.f64 b d) (*.f64 c a)))
(/.f64 (+.f64 (pow.f64 (*.f64 b d) 3) (pow.f64 (*.f64 a c) 3)) (fma.f64 (*.f64 b d) (-.f64 (*.f64 b d) (*.f64 a c)) (pow.f64 (*.f64 a c) 2)))
(/.f64 (*.f64 (+.f64 (pow.f64 (*.f64 b d) 3) (pow.f64 (*.f64 c a) 3)) 1) (fma.f64 (*.f64 b d) (-.f64 (*.f64 b d) (*.f64 c a)) (pow.f64 (*.f64 c a) 2)))
(/.f64 (+.f64 (pow.f64 (*.f64 b d) 3) (pow.f64 (*.f64 c a) 3)) (fma.f64 (*.f64 b d) (-.f64 (*.f64 b d) (*.f64 c a)) (pow.f64 (*.f64 c a) 2)))
(/.f64 (+.f64 (pow.f64 (*.f64 b d) 3) (pow.f64 (*.f64 a c) 3)) (+.f64 (pow.f64 (*.f64 b d) 2) (-.f64 (pow.f64 (*.f64 a c) 2) (*.f64 a (*.f64 c (*.f64 b d))))))
(/.f64 (+.f64 (pow.f64 (*.f64 b d) 3) (pow.f64 (*.f64 c a) 3)) (+.f64 (pow.f64 (*.f64 b d) 2) (-.f64 (pow.f64 (*.f64 c a) 2) (*.f64 (*.f64 c a) (*.f64 b d)))))
(/.f64 (+.f64 (pow.f64 (*.f64 b d) 3) (pow.f64 (*.f64 c a) 3)) (+.f64 (pow.f64 (*.f64 b d) 2) (*.f64 (*.f64 c a) (-.f64 (*.f64 c a) (*.f64 b d)))))
(/.f64 (+.f64 (pow.f64 (*.f64 b d) 3) (pow.f64 (*.f64 c a) 3)) (+.f64 (pow.f64 (*.f64 b d) 2) (*.f64 (*.f64 c a) (fma.f64 c a (*.f64 b (neg.f64 d))))))
(/.f64 (-.f64 (pow.f64 (*.f64 a c) 2) (pow.f64 (*.f64 b d) 2)) (-.f64 (*.f64 a c) (*.f64 b d)))
(/.f64 (-.f64 (pow.f64 (*.f64 c a) 2) (pow.f64 (*.f64 b d) 2)) (-.f64 (*.f64 c a) (*.f64 b d)))
(/.f64 (-.f64 (pow.f64 (*.f64 b d) 2) (pow.f64 (*.f64 c a) 2)) (-.f64 (*.f64 b d) (*.f64 c a)))
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 b d) 3) (pow.f64 (*.f64 a c) 3))) (neg.f64 (fma.f64 (*.f64 b d) (-.f64 (*.f64 b d) (*.f64 a c)) (pow.f64 (*.f64 a c) 2))))
(/.f64 (*.f64 (+.f64 (pow.f64 (*.f64 b d) 3) (pow.f64 (*.f64 c a) 3)) 1) (fma.f64 (*.f64 b d) (-.f64 (*.f64 b d) (*.f64 c a)) (pow.f64 (*.f64 c a) 2)))
(/.f64 (+.f64 (pow.f64 (*.f64 b d) 3) (pow.f64 (*.f64 c a) 3)) (fma.f64 (*.f64 b d) (-.f64 (*.f64 b d) (*.f64 c a)) (pow.f64 (*.f64 c a) 2)))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 a c) 2) (pow.f64 (*.f64 b d) 2))) (neg.f64 (-.f64 (*.f64 a c) (*.f64 b d))))
(/.f64 (-.f64 (pow.f64 (*.f64 c a) 2) (pow.f64 (*.f64 b d) 2)) (-.f64 (*.f64 c a) (*.f64 b d)))
(/.f64 (-.f64 (pow.f64 (*.f64 b d) 2) (pow.f64 (*.f64 c a) 2)) (-.f64 (*.f64 b d) (*.f64 c a)))
(/.f64 (-.f64 (pow.f64 (*.f64 b d) 2) (pow.f64 (*.f64 a c) 2)) (-.f64 (*.f64 b d) (*.f64 a c)))
(/.f64 (-.f64 (pow.f64 (*.f64 c a) 2) (pow.f64 (*.f64 b d) 2)) (-.f64 (*.f64 c a) (*.f64 b d)))
(/.f64 (-.f64 (pow.f64 (*.f64 b d) 2) (pow.f64 (*.f64 c a) 2)) (-.f64 (*.f64 b d) (*.f64 c a)))
(pow.f64 (fma.f64 a c (*.f64 b d)) 1)
(fma.f64 b d (*.f64 c a))
(pow.f64 (cbrt.f64 (fma.f64 a c (*.f64 b d))) 3)
(fma.f64 b d (*.f64 c a))
(pow.f64 (pow.f64 (fma.f64 a c (*.f64 b d)) 3) 1/3)
(fma.f64 b d (*.f64 c a))
(pow.f64 (sqrt.f64 (fma.f64 a c (*.f64 b d))) 2)
(fma.f64 b d (*.f64 c a))
(sqrt.f64 (pow.f64 (fma.f64 a c (*.f64 b d)) 2))
(fma.f64 b d (*.f64 c a))
(log.f64 (exp.f64 (fma.f64 a c (*.f64 b d))))
(fma.f64 b d (*.f64 c a))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 a c (*.f64 b d)))))
(fma.f64 b d (*.f64 c a))
(log.f64 (*.f64 (pow.f64 (exp.f64 a) c) (+.f64 1 (expm1.f64 (*.f64 b d)))))
(fma.f64 b d (*.f64 c a))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 a c))) (pow.f64 (exp.f64 b) d)))
(fma.f64 b d (*.f64 c a))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 a c))) (+.f64 1 (expm1.f64 (*.f64 b d)))))
(fma.f64 b d (*.f64 c a))
(log.f64 (*.f64 (pow.f64 (exp.f64 b) d) (+.f64 1 (expm1.f64 (*.f64 a c)))))
(fma.f64 b d (*.f64 c a))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 b d))) (pow.f64 (exp.f64 a) c)))
(fma.f64 b d (*.f64 c a))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 b d))) (+.f64 1 (expm1.f64 (*.f64 a c)))))
(fma.f64 b d (*.f64 c a))
(cbrt.f64 (pow.f64 (fma.f64 a c (*.f64 b d)) 3))
(fma.f64 b d (*.f64 c a))
(expm1.f64 (log1p.f64 (fma.f64 a c (*.f64 b d))))
(fma.f64 b d (*.f64 c a))
(exp.f64 (log.f64 (fma.f64 a c (*.f64 b d))))
(fma.f64 b d (*.f64 c a))
(exp.f64 (*.f64 (log.f64 (fma.f64 a c (*.f64 b d))) 1))
(fma.f64 b d (*.f64 c a))
(log1p.f64 (expm1.f64 (fma.f64 a c (*.f64 b d))))
(fma.f64 b d (*.f64 c a))

eval52.0ms (0.5%)

Compiler

Compiled 4742 to 1512 computations (68.1% saved)

prune59.0ms (0.6%)

Pruning

13 alts after pruning (13 fresh and 0 done)

PrunedKeptTotal
New21613229
Fresh000
Picked202
Done000
Total21813231
Accuracy
99.8%
Counts
231 → 13
Alt Table
Click to see full alt table
StatusAccuracyProgram
25.3%
(/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) (/.f64 (-.f64 (pow.f64 d 4) (pow.f64 c 4)) (-.f64 (*.f64 d d) (*.f64 c c))))
37.0%
(/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) (*.f64 d d))
38.0%
(/.f64 (*.f64 c a) (+.f64 (*.f64 c c) (*.f64 d d)))
38.9%
(/.f64 (*.f64 b d) (+.f64 (*.f64 c c) (*.f64 d d)))
43.0%
(/.f64 b d)
42.8%
(/.f64 a c)
46.7%
(+.f64 (/.f64 b d) (/.f64 (*.f64 a c) (pow.f64 d 2)))
48.0%
(+.f64 (/.f64 b d) (/.f64 a (/.f64 (*.f64 d d) c)))
52.7%
(+.f64 (/.f64 b d) (*.f64 (/.f64 c d) (/.f64 a d)))
45.6%
(+.f64 (/.f64 a c) (/.f64 (*.f64 b d) (*.f64 c c)))
51.8%
(+.f64 (/.f64 a c) (*.f64 (/.f64 d c) (/.f64 b c)))
73.1%
(*.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)))
74.0%
(*.f64 (/.f64 1 (hypot.f64 c d)) (/.f64 (fma.f64 a c (*.f64 b d)) (hypot.f64 c d)))
25.3%
(/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) (/.f64 (-.f64 (pow.f64 d 4) (pow.f64 c 4)) (-.f64 (*.f64 d d) (*.f64 c c))))
37.0%
(/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) (*.f64 d d))
38.0%
(/.f64 (*.f64 c a) (+.f64 (*.f64 c c) (*.f64 d d)))
38.9%
(/.f64 (*.f64 b d) (+.f64 (*.f64 c c) (*.f64 d d)))
43.0%
(/.f64 b d)
42.8%
(/.f64 a c)
46.7%
(+.f64 (/.f64 b d) (/.f64 (*.f64 a c) (pow.f64 d 2)))
48.0%
(+.f64 (/.f64 b d) (/.f64 a (/.f64 (*.f64 d d) c)))
52.7%
(+.f64 (/.f64 b d) (*.f64 (/.f64 c d) (/.f64 a d)))
45.6%
(+.f64 (/.f64 a c) (/.f64 (*.f64 b d) (*.f64 c c)))
51.8%
(+.f64 (/.f64 a c) (*.f64 (/.f64 d c) (/.f64 b c)))
73.1%
(*.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)))
74.0%
(*.f64 (/.f64 1 (hypot.f64 c d)) (/.f64 (fma.f64 a c (*.f64 b d)) (hypot.f64 c d)))
Compiler

Compiled 840 to 496 computations (41% saved)

localize123.0ms (1.3%)

Localize:

Found 10 expressions with local error:

NewAccuracyProgram
97.3%
(+.f64 (/.f64 b d) (/.f64 (*.f64 a c) (pow.f64 d 2)))
81.1%
(/.f64 (*.f64 a c) (pow.f64 d 2))
100.0%
(+.f64 (*.f64 c c) (*.f64 d d))
74.3%
(/.f64 (*.f64 b d) (+.f64 (*.f64 c c) (*.f64 d d)))
96.3%
(+.f64 (/.f64 a c) (/.f64 (*.f64 b d) (*.f64 c c)))
81.8%
(/.f64 (*.f64 b d) (*.f64 c c))
100.0%
(fma.f64 a c (*.f64 b d))
100.0%
(/.f64 1 (hypot.f64 c d))
99.6%
(*.f64 (/.f64 1 (hypot.f64 c d)) (/.f64 (fma.f64 a c (*.f64 b d)) (hypot.f64 c d)))
75.0%
(/.f64 (fma.f64 a c (*.f64 b d)) (hypot.f64 c d))
Compiler

Compiled 151 to 34 computations (77.5% saved)

series31.0ms (0.3%)

Counts
8 → 252
Calls

81 calls:

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

rewrite85.0ms (0.9%)

Algorithm
batch-egg-rewrite
Rules
630×add-sqr-sqrt
622×pow1
620×*-un-lft-identity
584×add-exp-log
584×add-log-exp
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
027202
1629190
Stop Event
node limit
Counts
8 → 298
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)))
(/.f64 1 (hypot.f64 c d))
(/.f64 (*.f64 b d) (*.f64 c c))
(+.f64 (/.f64 a c) (/.f64 (*.f64 b d) (*.f64 c c)))
(/.f64 (*.f64 b d) (+.f64 (*.f64 c c) (*.f64 d d)))
(/.f64 (*.f64 a c) (pow.f64 d 2))
(+.f64 (/.f64 b d) (/.f64 (*.f64 a c) (pow.f64 d 2)))
Outputs
(-.f64 (exp.f64 (log1p.f64 (/.f64 (fma.f64 a c (*.f64 b d)) (hypot.f64 c d)))) 1)
(*.f64 (fma.f64 a c (*.f64 b d)) (/.f64 1 (hypot.f64 c d)))
(*.f64 1 (/.f64 (fma.f64 a c (*.f64 b d)) (hypot.f64 c d)))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (fma.f64 a c (*.f64 b d)) (hypot.f64 c d))) 2) (cbrt.f64 (/.f64 (fma.f64 a c (*.f64 b d)) (hypot.f64 c d))))
(*.f64 (sqrt.f64 (/.f64 (fma.f64 a c (*.f64 b d)) (hypot.f64 c d))) (sqrt.f64 (/.f64 (fma.f64 a c (*.f64 b d)) (hypot.f64 c d))))
(*.f64 (pow.f64 (hypot.f64 c d) -1/2) (/.f64 (fma.f64 a c (*.f64 b d)) (sqrt.f64 (hypot.f64 c d))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 a c (*.f64 b d))) 2) 1) (/.f64 (cbrt.f64 (fma.f64 a c (*.f64 b d))) (hypot.f64 c d)))
(*.f64 (/.f64 (sqrt.f64 (fma.f64 a c (*.f64 b d))) 1) (/.f64 (sqrt.f64 (fma.f64 a c (*.f64 b d))) (hypot.f64 c d)))
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(cbrt.f64 (pow.f64 (fma.f64 (*.f64 b d) (pow.f64 c -2) (/.f64 a c)) 3))
(expm1.f64 (log1p.f64 (fma.f64 (*.f64 b d) (pow.f64 c -2) (/.f64 a c))))
(exp.f64 (log.f64 (fma.f64 (*.f64 b d) (pow.f64 c -2) (/.f64 a c))))
(exp.f64 (*.f64 (log.f64 (fma.f64 (*.f64 b d) (pow.f64 c -2) (/.f64 a c))) 1))
(log1p.f64 (expm1.f64 (fma.f64 (*.f64 b d) (pow.f64 c -2) (/.f64 a c))))
(fma.f64 a (/.f64 1 c) (*.f64 (*.f64 b d) (pow.f64 c -2)))
(fma.f64 (*.f64 b d) (pow.f64 c -2) (/.f64 a c))
(fma.f64 1 (*.f64 (*.f64 b d) (pow.f64 c -2)) (/.f64 a c))
(fma.f64 1 (/.f64 a c) (*.f64 (*.f64 b d) (pow.f64 c -2)))
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 a c)) 2) (cbrt.f64 (/.f64 a c)) (*.f64 (*.f64 b d) (pow.f64 c -2)))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 (*.f64 b d) (pow.f64 c -2))) 2) (cbrt.f64 (*.f64 (*.f64 b d) (pow.f64 c -2))) (/.f64 a c))
(fma.f64 (sqrt.f64 (/.f64 a c)) (sqrt.f64 (/.f64 a c)) (*.f64 (*.f64 b d) (pow.f64 c -2)))
(fma.f64 (/.f64 (sqrt.f64 (*.f64 b d)) c) (/.f64 (sqrt.f64 (*.f64 b d)) c) (/.f64 a c))
(fma.f64 (/.f64 b c) (/.f64 d c) (/.f64 a c))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (*.f64 b d) (pow.f64 (hypot.f64 c d) -2)))) 1)
(*.f64 (*.f64 b d) (pow.f64 (hypot.f64 c d) -2))
(*.f64 1 (*.f64 (*.f64 b d) (pow.f64 (hypot.f64 c d) -2)))
(*.f64 (/.f64 1 (hypot.f64 c d)) (/.f64 (*.f64 b d) (hypot.f64 c d)))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 (*.f64 b d) (pow.f64 (hypot.f64 c d) -2))) 2) (cbrt.f64 (*.f64 (*.f64 b d) (pow.f64 (hypot.f64 c d) -2))))
(*.f64 (/.f64 (sqrt.f64 (*.f64 b d)) (hypot.f64 c d)) (/.f64 (sqrt.f64 (*.f64 b d)) (hypot.f64 c d)))
(*.f64 (/.f64 d 1) (/.f64 b (pow.f64 (hypot.f64 c d) 2)))
(*.f64 (/.f64 1 (pow.f64 (pow.f64 (cbrt.f64 (hypot.f64 c d)) 2) 2)) (/.f64 (*.f64 b d) (pow.f64 (cbrt.f64 (hypot.f64 c d)) 2)))
(*.f64 (/.f64 b 1) (/.f64 d (pow.f64 (hypot.f64 c d) 2)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 b d)) 2) 1) (/.f64 (cbrt.f64 (*.f64 b d)) (pow.f64 (hypot.f64 c d) 2)))
(*.f64 (/.f64 (sqrt.f64 (*.f64 b d)) 1) (/.f64 (sqrt.f64 (*.f64 b d)) (pow.f64 (hypot.f64 c d) 2)))
(*.f64 (/.f64 b (hypot.f64 c d)) (/.f64 d (hypot.f64 c d)))
(*.f64 (/.f64 d (hypot.f64 c d)) (/.f64 b (hypot.f64 c d)))
(*.f64 (/.f64 b (pow.f64 (pow.f64 (cbrt.f64 (hypot.f64 c d)) 2) 2)) (/.f64 d (pow.f64 (cbrt.f64 (hypot.f64 c d)) 2)))
(*.f64 (/.f64 d (pow.f64 (pow.f64 (cbrt.f64 (hypot.f64 c d)) 2) 2)) (/.f64 b (pow.f64 (cbrt.f64 (hypot.f64 c d)) 2)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 b d)) 2) (hypot.f64 c d)) (/.f64 (cbrt.f64 (*.f64 b d)) (hypot.f64 c d)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 b d)) 2) (pow.f64 (pow.f64 (cbrt.f64 (hypot.f64 c d)) 2) 2)) (cbrt.f64 (*.f64 (*.f64 b d) (pow.f64 (hypot.f64 c d) -2))))
(*.f64 (/.f64 (sqrt.f64 (*.f64 b d)) (pow.f64 (pow.f64 (cbrt.f64 (hypot.f64 c d)) 2) 2)) (/.f64 (sqrt.f64 (*.f64 b d)) (pow.f64 (cbrt.f64 (hypot.f64 c d)) 2)))
(pow.f64 (*.f64 (*.f64 b d) (pow.f64 (hypot.f64 c d) -2)) 1)
(pow.f64 (cbrt.f64 (*.f64 (*.f64 b d) (pow.f64 (hypot.f64 c d) -2))) 3)
(pow.f64 (pow.f64 (*.f64 (*.f64 b d) (pow.f64 (hypot.f64 c d) -2)) 3) 1/3)
(pow.f64 (/.f64 (sqrt.f64 (*.f64 b d)) (hypot.f64 c d)) 2)
(pow.f64 (/.f64 (pow.f64 (hypot.f64 c d) 2) (*.f64 b d)) -1)
(sqrt.f64 (pow.f64 (*.f64 (*.f64 b d) (pow.f64 (hypot.f64 c d) -2)) 2))
(log.f64 (pow.f64 (pow.f64 (exp.f64 b) d) (pow.f64 (hypot.f64 c d) -2)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (*.f64 b d) (pow.f64 (hypot.f64 c d) -2)))))
(cbrt.f64 (pow.f64 (*.f64 (*.f64 b d) (pow.f64 (hypot.f64 c d) -2)) 3))
(cbrt.f64 (/.f64 (pow.f64 (*.f64 b d) 3) (pow.f64 (pow.f64 (hypot.f64 c d) 2) 3)))
(expm1.f64 (log1p.f64 (*.f64 (*.f64 b d) (pow.f64 (hypot.f64 c d) -2))))
(exp.f64 (log.f64 (*.f64 (*.f64 b d) (pow.f64 (hypot.f64 c d) -2))))
(exp.f64 (*.f64 (log.f64 (*.f64 (*.f64 b d) (pow.f64 (hypot.f64 c d) -2))) 1))
(log1p.f64 (expm1.f64 (*.f64 (*.f64 b d) (pow.f64 (hypot.f64 c d) -2))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (/.f64 c d) (/.f64 a d)))) 1)
(*.f64 1 (*.f64 (/.f64 c d) (/.f64 a d)))
(*.f64 (*.f64 a c) (pow.f64 d -2))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 (/.f64 c d) (/.f64 a d))) 2) (cbrt.f64 (*.f64 (/.f64 c d) (/.f64 a d))))
(*.f64 (/.f64 (sqrt.f64 (*.f64 a c)) d) (/.f64 (sqrt.f64 (*.f64 a c)) d))
(*.f64 (/.f64 1 d) (/.f64 (*.f64 a c) d))
(*.f64 (/.f64 c 1) (/.f64 a (*.f64 d d)))
(*.f64 (/.f64 c d) (/.f64 a d))
(*.f64 (/.f64 a d) (/.f64 c d))
(*.f64 (/.f64 a 1) (/.f64 c (*.f64 d d)))
(*.f64 (/.f64 a (cbrt.f64 (pow.f64 d 4))) (/.f64 c (pow.f64 (cbrt.f64 d) 2)))
(*.f64 (/.f64 c (cbrt.f64 (pow.f64 d 4))) (/.f64 a (pow.f64 (cbrt.f64 d) 2)))
(*.f64 (/.f64 1 (cbrt.f64 (pow.f64 d 4))) (/.f64 (*.f64 a c) (pow.f64 (cbrt.f64 d) 2)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 a c)) 2) d) (/.f64 (cbrt.f64 (*.f64 a c)) d))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 a c)) 2) 1) (/.f64 (cbrt.f64 (*.f64 a c)) (*.f64 d d)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 a c)) 2) (cbrt.f64 (pow.f64 d 4))) (cbrt.f64 (*.f64 (/.f64 c d) (/.f64 a d))))
(*.f64 (/.f64 (sqrt.f64 (*.f64 a c)) 1) (/.f64 (sqrt.f64 (*.f64 a c)) (*.f64 d d)))
(*.f64 (/.f64 (sqrt.f64 (*.f64 a c)) (cbrt.f64 (pow.f64 d 4))) (/.f64 (sqrt.f64 (*.f64 a c)) (pow.f64 (cbrt.f64 d) 2)))
(pow.f64 (*.f64 (/.f64 c d) (/.f64 a d)) 1)
(pow.f64 (cbrt.f64 (*.f64 (/.f64 c d) (/.f64 a d))) 3)
(pow.f64 (/.f64 (pow.f64 (*.f64 a c) 3) (pow.f64 d 6)) 1/3)
(pow.f64 (/.f64 (sqrt.f64 (*.f64 a c)) d) 2)
(pow.f64 (*.f64 (/.f64 d c) (/.f64 d a)) -1)
(sqrt.f64 (/.f64 (pow.f64 (*.f64 a c) 2) (pow.f64 d 4)))
(log.f64 (pow.f64 (pow.f64 (exp.f64 a) c) (pow.f64 d -2)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (/.f64 c d) (/.f64 a d)))))
(cbrt.f64 (/.f64 (pow.f64 (*.f64 a c) 3) (pow.f64 d 6)))
(expm1.f64 (log1p.f64 (*.f64 (/.f64 c d) (/.f64 a d))))
(exp.f64 (log.f64 (*.f64 (/.f64 c d) (/.f64 a d))))
(exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 c d) (/.f64 a d))) 1))
(log1p.f64 (expm1.f64 (*.f64 (/.f64 c d) (/.f64 a d))))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 (*.f64 a c) (pow.f64 d -2) (/.f64 b d)))) 1)
(-.f64 (/.f64 (pow.f64 (/.f64 b d) 2) (-.f64 (/.f64 b d) (*.f64 (/.f64 c d) (/.f64 a d)))) (/.f64 (/.f64 (pow.f64 (*.f64 a c) 2) (pow.f64 d 4)) (-.f64 (/.f64 b d) (*.f64 (/.f64 c d) (/.f64 a d)))))
(*.f64 1 (fma.f64 (*.f64 a c) (pow.f64 d -2) (/.f64 b d)))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 (*.f64 a c) (pow.f64 d -2) (/.f64 b d))) 2) (cbrt.f64 (fma.f64 (*.f64 a c) (pow.f64 d -2) (/.f64 b d))))
(*.f64 (sqrt.f64 (fma.f64 (*.f64 a c) (pow.f64 d -2) (/.f64 b d))) (sqrt.f64 (fma.f64 (*.f64 a c) (pow.f64 d -2) (/.f64 b d))))
(/.f64 (fma.f64 b (*.f64 d d) (*.f64 d (*.f64 a c))) (pow.f64 d 3))
(/.f64 (+.f64 (pow.f64 (/.f64 b d) 3) (/.f64 (pow.f64 (*.f64 a c) 3) (pow.f64 d 6))) (+.f64 (pow.f64 (/.f64 b d) 2) (-.f64 (/.f64 (pow.f64 (*.f64 a c) 2) (pow.f64 d 4)) (/.f64 (*.f64 b (*.f64 a c)) (pow.f64 d 3)))))
(/.f64 (-.f64 (pow.f64 (/.f64 b d) 2) (/.f64 (pow.f64 (*.f64 a c) 2) (pow.f64 d 4))) (-.f64 (/.f64 b d) (*.f64 (/.f64 c d) (/.f64 a d))))
(/.f64 (+.f64 (*.f64 a d) (*.f64 (/.f64 (*.f64 d d) c) b)) (*.f64 (/.f64 (*.f64 d d) c) d))
(/.f64 (+.f64 (*.f64 a (/.f64 d b)) (*.f64 (/.f64 (*.f64 d d) c) 1)) (*.f64 (/.f64 (*.f64 d d) c) (/.f64 d b)))
(/.f64 (+.f64 (*.f64 a (neg.f64 d)) (*.f64 (/.f64 (*.f64 d d) c) (neg.f64 b))) (*.f64 (/.f64 (*.f64 d d) c) (neg.f64 d)))
(/.f64 (+.f64 d (*.f64 (*.f64 (/.f64 d c) (/.f64 d a)) b)) (*.f64 (*.f64 (/.f64 d c) (/.f64 d a)) d))
(/.f64 (+.f64 (/.f64 d b) (*.f64 (*.f64 (/.f64 d c) (/.f64 d a)) 1)) (*.f64 (*.f64 (/.f64 d c) (/.f64 d a)) (/.f64 d b)))
(/.f64 (+.f64 (neg.f64 d) (*.f64 (*.f64 (/.f64 d c) (/.f64 d a)) (neg.f64 b))) (*.f64 (*.f64 (/.f64 d c) (/.f64 d a)) (neg.f64 d)))
(/.f64 (+.f64 (*.f64 (*.f64 a c) d) (*.f64 (*.f64 d d) b)) (pow.f64 d 3))
(/.f64 (+.f64 (*.f64 (*.f64 a c) (/.f64 d b)) (*.f64 (*.f64 d d) 1)) (*.f64 (*.f64 d d) (/.f64 d b)))
(/.f64 (+.f64 (*.f64 (*.f64 a c) (neg.f64 d)) (*.f64 (*.f64 d d) (neg.f64 b))) (*.f64 (*.f64 d d) (neg.f64 d)))
(/.f64 (+.f64 (*.f64 (neg.f64 (*.f64 a c)) d) (*.f64 (neg.f64 (*.f64 d d)) b)) (*.f64 (neg.f64 (*.f64 d d)) d))
(/.f64 (+.f64 (*.f64 (neg.f64 (*.f64 a c)) (/.f64 d b)) (*.f64 (neg.f64 (*.f64 d d)) 1)) (*.f64 (neg.f64 (*.f64 d d)) (/.f64 d b)))
(/.f64 (+.f64 (*.f64 (neg.f64 (*.f64 a c)) (neg.f64 d)) (*.f64 (neg.f64 (*.f64 d d)) (neg.f64 b))) (*.f64 (neg.f64 (*.f64 d d)) (neg.f64 d)))
(/.f64 (+.f64 (*.f64 b (/.f64 (*.f64 d d) c)) (*.f64 d a)) (*.f64 d (/.f64 (*.f64 d d) c)))
(/.f64 (+.f64 (*.f64 b (*.f64 (/.f64 d c) (/.f64 d a))) (*.f64 d 1)) (*.f64 d (*.f64 (/.f64 d c) (/.f64 d a))))
(/.f64 (+.f64 (*.f64 b (neg.f64 (*.f64 d d))) (*.f64 d (neg.f64 (*.f64 a c)))) (*.f64 d (neg.f64 (*.f64 d d))))
(/.f64 (+.f64 (/.f64 (*.f64 d d) c) (*.f64 (/.f64 d b) a)) (*.f64 (/.f64 d b) (/.f64 (*.f64 d d) c)))
(/.f64 (+.f64 (*.f64 (/.f64 d c) (/.f64 d a)) (*.f64 (/.f64 d b) 1)) (*.f64 (/.f64 d b) (*.f64 (/.f64 d c) (/.f64 d a))))
(/.f64 (+.f64 (*.f64 d d) (*.f64 (/.f64 d b) (*.f64 a c))) (*.f64 (/.f64 d b) (*.f64 d d)))
(/.f64 (+.f64 (neg.f64 (*.f64 d d)) (*.f64 (/.f64 d b) (neg.f64 (*.f64 a c)))) (*.f64 (/.f64 d b) (neg.f64 (*.f64 d d))))
(/.f64 (+.f64 (*.f64 (neg.f64 b) (/.f64 (*.f64 d d) c)) (*.f64 (neg.f64 d) a)) (*.f64 (neg.f64 d) (/.f64 (*.f64 d d) c)))
(/.f64 (+.f64 (*.f64 (neg.f64 b) (*.f64 (/.f64 d c) (/.f64 d a))) (*.f64 (neg.f64 d) 1)) (*.f64 (neg.f64 d) (*.f64 (/.f64 d c) (/.f64 d a))))
(/.f64 (+.f64 (*.f64 (neg.f64 b) (*.f64 d d)) (*.f64 (neg.f64 d) (*.f64 a c))) (*.f64 (neg.f64 d) (*.f64 d d)))
(/.f64 (+.f64 (*.f64 (neg.f64 b) (neg.f64 (*.f64 d d))) (*.f64 (neg.f64 d) (neg.f64 (*.f64 a c)))) (*.f64 (neg.f64 d) (neg.f64 (*.f64 d d))))
(/.f64 (neg.f64 (fma.f64 b (*.f64 d d) (*.f64 d (*.f64 a c)))) (neg.f64 (pow.f64 d 3)))
(/.f64 (neg.f64 (+.f64 (pow.f64 (/.f64 b d) 3) (/.f64 (pow.f64 (*.f64 a c) 3) (pow.f64 d 6)))) (neg.f64 (+.f64 (pow.f64 (/.f64 b d) 2) (-.f64 (/.f64 (pow.f64 (*.f64 a c) 2) (pow.f64 d 4)) (/.f64 (*.f64 b (*.f64 a c)) (pow.f64 d 3))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 b d) 2) (/.f64 (pow.f64 (*.f64 a c) 2) (pow.f64 d 4)))) (neg.f64 (-.f64 (/.f64 b d) (*.f64 (/.f64 c d) (/.f64 a d)))))
(pow.f64 (fma.f64 (*.f64 a c) (pow.f64 d -2) (/.f64 b d)) 1)
(pow.f64 (cbrt.f64 (fma.f64 (*.f64 a c) (pow.f64 d -2) (/.f64 b d))) 3)
(pow.f64 (pow.f64 (fma.f64 (*.f64 a c) (pow.f64 d -2) (/.f64 b d)) 3) 1/3)
(pow.f64 (sqrt.f64 (fma.f64 (*.f64 a c) (pow.f64 d -2) (/.f64 b d))) 2)
(sqrt.f64 (pow.f64 (fma.f64 (*.f64 a c) (pow.f64 d -2) (/.f64 b d)) 2))
(log.f64 (exp.f64 (fma.f64 (*.f64 a c) (pow.f64 d -2) (/.f64 b d))))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 (*.f64 a c) (pow.f64 d -2) (/.f64 b d)))))
(cbrt.f64 (pow.f64 (fma.f64 (*.f64 a c) (pow.f64 d -2) (/.f64 b d)) 3))
(expm1.f64 (log1p.f64 (fma.f64 (*.f64 a c) (pow.f64 d -2) (/.f64 b d))))
(exp.f64 (log.f64 (fma.f64 (*.f64 a c) (pow.f64 d -2) (/.f64 b d))))
(exp.f64 (*.f64 (log.f64 (fma.f64 (*.f64 a c) (pow.f64 d -2) (/.f64 b d))) 1))
(log1p.f64 (expm1.f64 (fma.f64 (*.f64 a c) (pow.f64 d -2) (/.f64 b d))))
(fma.f64 b (/.f64 1 d) (*.f64 (/.f64 c d) (/.f64 a d)))
(fma.f64 1 (*.f64 (/.f64 c d) (/.f64 a d)) (/.f64 b d))
(fma.f64 1 (/.f64 b d) (*.f64 (/.f64 c d) (/.f64 a d)))
(fma.f64 (*.f64 a c) (pow.f64 d -2) (/.f64 b d))
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 b d)) 2) (cbrt.f64 (/.f64 b d)) (*.f64 (/.f64 c d) (/.f64 a d)))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 (/.f64 c d) (/.f64 a d))) 2) (cbrt.f64 (*.f64 (/.f64 c d) (/.f64 a d))) (/.f64 b d))
(fma.f64 (sqrt.f64 (/.f64 b d)) (sqrt.f64 (/.f64 b d)) (*.f64 (/.f64 c d) (/.f64 a d)))
(fma.f64 (/.f64 (sqrt.f64 (*.f64 a c)) d) (/.f64 (sqrt.f64 (*.f64 a c)) d) (/.f64 b d))

simplify162.0ms (1.7%)

Algorithm
egg-herbie
Rules
1330×times-frac
1242×associate-/r*
908×associate-*l*
878×fma-def
700×associate-*r/
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0100520584
1278919172
Stop Event
node limit
Counts
550 → 553
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)))
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a
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b
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(/.f64 (+.f64 (*.f64 (/.f64 d c) (/.f64 d a)) (*.f64 (/.f64 d b) 1)) (*.f64 (/.f64 d b) (*.f64 (/.f64 d c) (/.f64 d a))))
(/.f64 (+.f64 (*.f64 d d) (*.f64 (/.f64 d b) (*.f64 a c))) (*.f64 (/.f64 d b) (*.f64 d d)))
(/.f64 (+.f64 (neg.f64 (*.f64 d d)) (*.f64 (/.f64 d b) (neg.f64 (*.f64 a c)))) (*.f64 (/.f64 d b) (neg.f64 (*.f64 d d))))
(/.f64 (+.f64 (*.f64 (neg.f64 b) (/.f64 (*.f64 d d) c)) (*.f64 (neg.f64 d) a)) (*.f64 (neg.f64 d) (/.f64 (*.f64 d d) c)))
(/.f64 (+.f64 (*.f64 (neg.f64 b) (*.f64 (/.f64 d c) (/.f64 d a))) (*.f64 (neg.f64 d) 1)) (*.f64 (neg.f64 d) (*.f64 (/.f64 d c) (/.f64 d a))))
(/.f64 (+.f64 (*.f64 (neg.f64 b) (*.f64 d d)) (*.f64 (neg.f64 d) (*.f64 a c))) (*.f64 (neg.f64 d) (*.f64 d d)))
(/.f64 (+.f64 (*.f64 (neg.f64 b) (neg.f64 (*.f64 d d))) (*.f64 (neg.f64 d) (neg.f64 (*.f64 a c)))) (*.f64 (neg.f64 d) (neg.f64 (*.f64 d d))))
(/.f64 (neg.f64 (fma.f64 b (*.f64 d d) (*.f64 d (*.f64 a c)))) (neg.f64 (pow.f64 d 3)))
(/.f64 (neg.f64 (+.f64 (pow.f64 (/.f64 b d) 3) (/.f64 (pow.f64 (*.f64 a c) 3) (pow.f64 d 6)))) (neg.f64 (+.f64 (pow.f64 (/.f64 b d) 2) (-.f64 (/.f64 (pow.f64 (*.f64 a c) 2) (pow.f64 d 4)) (/.f64 (*.f64 b (*.f64 a c)) (pow.f64 d 3))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 b d) 2) (/.f64 (pow.f64 (*.f64 a c) 2) (pow.f64 d 4)))) (neg.f64 (-.f64 (/.f64 b d) (*.f64 (/.f64 c d) (/.f64 a d)))))
(pow.f64 (fma.f64 (*.f64 a c) (pow.f64 d -2) (/.f64 b d)) 1)
(pow.f64 (cbrt.f64 (fma.f64 (*.f64 a c) (pow.f64 d -2) (/.f64 b d))) 3)
(pow.f64 (pow.f64 (fma.f64 (*.f64 a c) (pow.f64 d -2) (/.f64 b d)) 3) 1/3)
(pow.f64 (sqrt.f64 (fma.f64 (*.f64 a c) (pow.f64 d -2) (/.f64 b d))) 2)
(sqrt.f64 (pow.f64 (fma.f64 (*.f64 a c) (pow.f64 d -2) (/.f64 b d)) 2))
(log.f64 (exp.f64 (fma.f64 (*.f64 a c) (pow.f64 d -2) (/.f64 b d))))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 (*.f64 a c) (pow.f64 d -2) (/.f64 b d)))))
(cbrt.f64 (pow.f64 (fma.f64 (*.f64 a c) (pow.f64 d -2) (/.f64 b d)) 3))
(expm1.f64 (log1p.f64 (fma.f64 (*.f64 a c) (pow.f64 d -2) (/.f64 b d))))
(exp.f64 (log.f64 (fma.f64 (*.f64 a c) (pow.f64 d -2) (/.f64 b d))))
(exp.f64 (*.f64 (log.f64 (fma.f64 (*.f64 a c) (pow.f64 d -2) (/.f64 b d))) 1))
(log1p.f64 (expm1.f64 (fma.f64 (*.f64 a c) (pow.f64 d -2) (/.f64 b d))))
(fma.f64 b (/.f64 1 d) (*.f64 (/.f64 c d) (/.f64 a d)))
(fma.f64 1 (*.f64 (/.f64 c d) (/.f64 a d)) (/.f64 b d))
(fma.f64 1 (/.f64 b d) (*.f64 (/.f64 c d) (/.f64 a d)))
(fma.f64 (*.f64 a c) (pow.f64 d -2) (/.f64 b d))
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 b d)) 2) (cbrt.f64 (/.f64 b d)) (*.f64 (/.f64 c d) (/.f64 a d)))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 (/.f64 c d) (/.f64 a d))) 2) (cbrt.f64 (*.f64 (/.f64 c d) (/.f64 a d))) (/.f64 b d))
(fma.f64 (sqrt.f64 (/.f64 b d)) (sqrt.f64 (/.f64 b d)) (*.f64 (/.f64 c d) (/.f64 a d)))
(fma.f64 (/.f64 (sqrt.f64 (*.f64 a c)) d) (/.f64 (sqrt.f64 (*.f64 a c)) d) (/.f64 b d))
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 (+.f64 (*.f64 c c) (*.f64 d d)))))
(*.f64 (*.f64 b d) (sqrt.f64 (/.f64 1 (fma.f64 d d (*.f64 c c)))))
(+.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 (*.f64 c c) (*.f64 d d)))) (fma.f64 a c (*.f64 b d)))
(*.f64 (sqrt.f64 (/.f64 1 (fma.f64 d d (*.f64 c c)))) (fma.f64 c a (*.f64 b d)))
(+.f64 (*.f64 (*.f64 a c) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 c 2) (pow.f64 d 2))))) (*.f64 (*.f64 b d) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 c 2) (pow.f64 d 2))))))
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 (*.f64 c c) (*.f64 d d)))) (fma.f64 a c (*.f64 b d)))
(*.f64 (sqrt.f64 (/.f64 1 (fma.f64 d d (*.f64 c c)))) (fma.f64 c a (*.f64 b d)))
(+.f64 (*.f64 (*.f64 a c) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 c 2) (pow.f64 d 2))))) (*.f64 (*.f64 b d) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 c 2) (pow.f64 d 2))))))
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 (*.f64 c c) (*.f64 d d)))) (fma.f64 a c (*.f64 b d)))
(*.f64 (sqrt.f64 (/.f64 1 (fma.f64 d d (*.f64 c c)))) (fma.f64 c a (*.f64 b d)))
(*.f64 (*.f64 a c) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 c 2) (pow.f64 d 2)))))
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 (*.f64 c c) (*.f64 d d)))) (*.f64 c a))
(*.f64 c (*.f64 a (sqrt.f64 (/.f64 1 (fma.f64 d d (*.f64 c c))))))
(+.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 (*.f64 c c) (*.f64 d d)))) (fma.f64 a c (*.f64 b d)))
(*.f64 (sqrt.f64 (/.f64 1 (fma.f64 d d (*.f64 c c)))) (fma.f64 c a (*.f64 b d)))
(+.f64 (*.f64 (*.f64 a c) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 c 2) (pow.f64 d 2))))) (*.f64 (*.f64 b d) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 c 2) (pow.f64 d 2))))))
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 (*.f64 c c) (*.f64 d d)))) (fma.f64 a c (*.f64 b d)))
(*.f64 (sqrt.f64 (/.f64 1 (fma.f64 d d (*.f64 c c)))) (fma.f64 c a (*.f64 b d)))
(+.f64 (*.f64 (*.f64 a c) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 c 2) (pow.f64 d 2))))) (*.f64 (*.f64 b d) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 c 2) (pow.f64 d 2))))))
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 (*.f64 c c) (*.f64 d d)))) (fma.f64 a c (*.f64 b d)))
(*.f64 (sqrt.f64 (/.f64 1 (fma.f64 d d (*.f64 c c)))) (fma.f64 c a (*.f64 b d)))
(*.f64 (*.f64 a c) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 c 2) (pow.f64 d 2)))))
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 (*.f64 c c) (*.f64 d d)))) (*.f64 c a))
(*.f64 c (*.f64 a (sqrt.f64 (/.f64 1 (fma.f64 d d (*.f64 c c))))))
(+.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 (*.f64 c c) (*.f64 d d)))) (fma.f64 a c (*.f64 b d)))
(*.f64 (sqrt.f64 (/.f64 1 (fma.f64 d d (*.f64 c c)))) (fma.f64 c a (*.f64 b d)))
(+.f64 (*.f64 (*.f64 a c) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 c 2) (pow.f64 d 2))))) (*.f64 (*.f64 b d) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 c 2) (pow.f64 d 2))))))
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 (*.f64 c c) (*.f64 d d)))) (fma.f64 a c (*.f64 b d)))
(*.f64 (sqrt.f64 (/.f64 1 (fma.f64 d d (*.f64 c c)))) (fma.f64 c a (*.f64 b d)))
(+.f64 (*.f64 (*.f64 a c) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 c 2) (pow.f64 d 2))))) (*.f64 (*.f64 b d) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 c 2) (pow.f64 d 2))))))
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 (*.f64 c c) (*.f64 d d)))) (fma.f64 a c (*.f64 b d)))
(*.f64 (sqrt.f64 (/.f64 1 (fma.f64 d d (*.f64 c c)))) (fma.f64 c a (*.f64 b d)))
b
(+.f64 b (/.f64 (*.f64 a c) d))
(+.f64 b (/.f64 a (/.f64 d c)))
(+.f64 b (*.f64 c (/.f64 a 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 (fma.f64 -1/2 (/.f64 (*.f64 b (*.f64 c c)) (*.f64 d d)) (/.f64 a (/.f64 d c))))
(+.f64 b (fma.f64 -1/2 (*.f64 b (*.f64 (/.f64 c d) (/.f64 c d))) (*.f64 c (/.f64 a 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 b (fma.f64 -1/2 (/.f64 (*.f64 a (pow.f64 c 3)) (pow.f64 d 3)) (fma.f64 -1/2 (/.f64 (*.f64 b (*.f64 c c)) (*.f64 d d)) (/.f64 a (/.f64 d c)))))
(+.f64 b (fma.f64 -1/2 (/.f64 a (/.f64 (pow.f64 d 3) (pow.f64 c 3))) (fma.f64 -1/2 (*.f64 b (*.f64 (/.f64 c d) (/.f64 c d))) (*.f64 c (/.f64 a d)))))
a
(+.f64 a (/.f64 (*.f64 b d) c))
(+.f64 a (*.f64 b (/.f64 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 (fma.f64 -1/2 (/.f64 a (/.f64 (*.f64 c c) (*.f64 d d))) (/.f64 (*.f64 b d) c)))
(+.f64 a (fma.f64 -1/2 (*.f64 a (*.f64 (/.f64 d c) (/.f64 d c))) (*.f64 b (/.f64 d c))))
(+.f64 a (+.f64 (*.f64 -1/2 (/.f64 (*.f64 a (pow.f64 d 2)) (pow.f64 c 2))) (+.f64 (*.f64 -1/2 (/.f64 (*.f64 b (pow.f64 d 3)) (pow.f64 c 3))) (/.f64 (*.f64 b d) c))))
(+.f64 a (fma.f64 -1/2 (/.f64 a (/.f64 (*.f64 c c) (*.f64 d d))) (fma.f64 -1/2 (/.f64 b (/.f64 (pow.f64 c 3) (pow.f64 d 3))) (/.f64 (*.f64 b d) c))))
(+.f64 a (fma.f64 -1/2 (*.f64 a (*.f64 (/.f64 d c) (/.f64 d c))) (fma.f64 -1/2 (/.f64 b (/.f64 (pow.f64 c 3) (pow.f64 d 3))) (*.f64 b (/.f64 d c)))))
(*.f64 -1 a)
(neg.f64 a)
(+.f64 (*.f64 -1 a) (*.f64 -1 (/.f64 (*.f64 b d) c)))
(*.f64 -1 (+.f64 a (/.f64 (*.f64 b d) c)))
(-.f64 (neg.f64 a) (*.f64 b (/.f64 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)))))
(fma.f64 -1 a (fma.f64 -1 (/.f64 (*.f64 b d) c) (*.f64 (/.f64 a (/.f64 (*.f64 c c) (*.f64 d d))) 1/2)))
(-.f64 (-.f64 (/.f64 (*.f64 1/2 a) (*.f64 (/.f64 c d) (/.f64 c d))) (*.f64 b (/.f64 d c))) 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 (*.f64 b d) c) (*.f64 1/2 (+.f64 (/.f64 a (/.f64 (*.f64 c c) (*.f64 d d))) (/.f64 b (/.f64 (pow.f64 c 3) (pow.f64 d 3)))))))
(-.f64 (-.f64 (*.f64 1/2 (+.f64 (/.f64 b (/.f64 (pow.f64 c 3) (pow.f64 d 3))) (*.f64 a (*.f64 (/.f64 d c) (/.f64 d c))))) (*.f64 b (/.f64 d c))) a)
(*.f64 (*.f64 a c) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 c 2) (pow.f64 d 2)))))
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 (*.f64 c c) (*.f64 d d)))) (*.f64 c a))
(*.f64 c (*.f64 a (sqrt.f64 (/.f64 1 (fma.f64 d d (*.f64 c c))))))
(+.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 (*.f64 c c) (*.f64 d d)))) (fma.f64 a c (*.f64 b d)))
(*.f64 (sqrt.f64 (/.f64 1 (fma.f64 d d (*.f64 c c)))) (fma.f64 c a (*.f64 b d)))
(+.f64 (*.f64 (*.f64 a c) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 c 2) (pow.f64 d 2))))) (*.f64 (*.f64 b d) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 c 2) (pow.f64 d 2))))))
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 (*.f64 c c) (*.f64 d d)))) (fma.f64 a c (*.f64 b d)))
(*.f64 (sqrt.f64 (/.f64 1 (fma.f64 d d (*.f64 c c)))) (fma.f64 c a (*.f64 b d)))
(+.f64 (*.f64 (*.f64 a c) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 c 2) (pow.f64 d 2))))) (*.f64 (*.f64 b d) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 c 2) (pow.f64 d 2))))))
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 (*.f64 c c) (*.f64 d d)))) (fma.f64 a c (*.f64 b d)))
(*.f64 (sqrt.f64 (/.f64 1 (fma.f64 d d (*.f64 c c)))) (fma.f64 c a (*.f64 b d)))
(*.f64 (*.f64 b d) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 c 2) (pow.f64 d 2)))))
(*.f64 (*.f64 b d) (sqrt.f64 (/.f64 1 (+.f64 (*.f64 c c) (*.f64 d d)))))
(*.f64 (*.f64 b d) (sqrt.f64 (/.f64 1 (fma.f64 d d (*.f64 c c)))))
(+.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 (*.f64 c c) (*.f64 d d)))) (fma.f64 a c (*.f64 b d)))
(*.f64 (sqrt.f64 (/.f64 1 (fma.f64 d d (*.f64 c c)))) (fma.f64 c a (*.f64 b d)))
(+.f64 (*.f64 (*.f64 a c) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 c 2) (pow.f64 d 2))))) (*.f64 (*.f64 b d) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 c 2) (pow.f64 d 2))))))
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 (*.f64 c c) (*.f64 d d)))) (fma.f64 a c (*.f64 b d)))
(*.f64 (sqrt.f64 (/.f64 1 (fma.f64 d d (*.f64 c c)))) (fma.f64 c a (*.f64 b d)))
(+.f64 (*.f64 (*.f64 a c) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 c 2) (pow.f64 d 2))))) (*.f64 (*.f64 b d) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 c 2) (pow.f64 d 2))))))
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 (*.f64 c c) (*.f64 d d)))) (fma.f64 a c (*.f64 b d)))
(*.f64 (sqrt.f64 (/.f64 1 (fma.f64 d d (*.f64 c c)))) (fma.f64 c a (*.f64 b d)))
(*.f64 (*.f64 b d) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 c 2) (pow.f64 d 2)))))
(*.f64 (*.f64 b d) (sqrt.f64 (/.f64 1 (+.f64 (*.f64 c c) (*.f64 d d)))))
(*.f64 (*.f64 b d) (sqrt.f64 (/.f64 1 (fma.f64 d d (*.f64 c c)))))
(+.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 (*.f64 c c) (*.f64 d d)))) (fma.f64 a c (*.f64 b d)))
(*.f64 (sqrt.f64 (/.f64 1 (fma.f64 d d (*.f64 c c)))) (fma.f64 c a (*.f64 b d)))
(+.f64 (*.f64 (*.f64 a c) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 c 2) (pow.f64 d 2))))) (*.f64 (*.f64 b d) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 c 2) (pow.f64 d 2))))))
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 (*.f64 c c) (*.f64 d d)))) (fma.f64 a c (*.f64 b d)))
(*.f64 (sqrt.f64 (/.f64 1 (fma.f64 d d (*.f64 c c)))) (fma.f64 c a (*.f64 b d)))
(+.f64 (*.f64 (*.f64 a c) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 c 2) (pow.f64 d 2))))) (*.f64 (*.f64 b d) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 c 2) (pow.f64 d 2))))))
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 (*.f64 c c) (*.f64 d d)))) (fma.f64 a c (*.f64 b d)))
(*.f64 (sqrt.f64 (/.f64 1 (fma.f64 d d (*.f64 c c)))) (fma.f64 c a (*.f64 b d)))
a
(+.f64 a (/.f64 (*.f64 b d) c))
(+.f64 a (*.f64 b (/.f64 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 (fma.f64 -1/2 (/.f64 a (/.f64 (*.f64 c c) (*.f64 d d))) (/.f64 (*.f64 b d) c)))
(+.f64 a (fma.f64 -1/2 (*.f64 a (*.f64 (/.f64 d c) (/.f64 d c))) (*.f64 b (/.f64 d c))))
(+.f64 a (+.f64 (*.f64 -1/2 (/.f64 (*.f64 a (pow.f64 d 2)) (pow.f64 c 2))) (+.f64 (*.f64 -1/2 (/.f64 (*.f64 b (pow.f64 d 3)) (pow.f64 c 3))) (/.f64 (*.f64 b d) c))))
(+.f64 a (fma.f64 -1/2 (/.f64 a (/.f64 (*.f64 c c) (*.f64 d d))) (fma.f64 -1/2 (/.f64 b (/.f64 (pow.f64 c 3) (pow.f64 d 3))) (/.f64 (*.f64 b d) c))))
(+.f64 a (fma.f64 -1/2 (*.f64 a (*.f64 (/.f64 d c) (/.f64 d c))) (fma.f64 -1/2 (/.f64 b (/.f64 (pow.f64 c 3) (pow.f64 d 3))) (*.f64 b (/.f64 d c)))))
b
(+.f64 b (/.f64 (*.f64 a c) d))
(+.f64 b (/.f64 a (/.f64 d c)))
(+.f64 b (*.f64 c (/.f64 a 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 (fma.f64 -1/2 (/.f64 (*.f64 b (*.f64 c c)) (*.f64 d d)) (/.f64 a (/.f64 d c))))
(+.f64 b (fma.f64 -1/2 (*.f64 b (*.f64 (/.f64 c d) (/.f64 c d))) (*.f64 c (/.f64 a 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 b (fma.f64 -1/2 (/.f64 (*.f64 a (pow.f64 c 3)) (pow.f64 d 3)) (fma.f64 -1/2 (/.f64 (*.f64 b (*.f64 c c)) (*.f64 d d)) (/.f64 a (/.f64 d c)))))
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(/.f64 (neg.f64 (fma.f64 b (*.f64 d (/.f64 d c)) (*.f64 d a))) (/.f64 (neg.f64 (pow.f64 d 3)) c))
(/.f64 (+.f64 (*.f64 (neg.f64 b) (*.f64 (/.f64 d c) (/.f64 d a))) (*.f64 (neg.f64 d) 1)) (*.f64 (neg.f64 d) (*.f64 (/.f64 d c) (/.f64 d a))))
(/.f64 (fma.f64 (neg.f64 b) (*.f64 (/.f64 d c) (/.f64 d a)) (neg.f64 d)) (*.f64 (/.f64 d c) (*.f64 (/.f64 d a) (neg.f64 d))))
(/.f64 (neg.f64 (fma.f64 (*.f64 b (/.f64 d c)) (/.f64 d a) d)) (/.f64 (/.f64 (neg.f64 (pow.f64 d 3)) c) a))
(/.f64 (+.f64 (*.f64 (neg.f64 b) (*.f64 d d)) (*.f64 (neg.f64 d) (*.f64 a c))) (*.f64 (neg.f64 d) (*.f64 d d)))
(/.f64 (fma.f64 (neg.f64 b) (*.f64 d d) (*.f64 d (*.f64 a (neg.f64 c)))) (neg.f64 (pow.f64 d 3)))
(*.f64 1 (/.f64 (*.f64 d (fma.f64 c a (*.f64 b d))) (pow.f64 d 3)))
(/.f64 (+.f64 (*.f64 (neg.f64 b) (neg.f64 (*.f64 d d))) (*.f64 (neg.f64 d) (neg.f64 (*.f64 a c)))) (*.f64 (neg.f64 d) (neg.f64 (*.f64 d d))))
(/.f64 (fma.f64 b (*.f64 d d) (*.f64 d (*.f64 c a))) (pow.f64 d 3))
(/.f64 (*.f64 d (fma.f64 c a (*.f64 b d))) (pow.f64 d 3))
(/.f64 (neg.f64 (fma.f64 b (*.f64 d d) (*.f64 d (*.f64 a c)))) (neg.f64 (pow.f64 d 3)))
(/.f64 (fma.f64 (neg.f64 b) (*.f64 d d) (*.f64 d (*.f64 a (neg.f64 c)))) (neg.f64 (pow.f64 d 3)))
(*.f64 1 (/.f64 (*.f64 d (fma.f64 c a (*.f64 b d))) (pow.f64 d 3)))
(/.f64 (neg.f64 (+.f64 (pow.f64 (/.f64 b d) 3) (/.f64 (pow.f64 (*.f64 a c) 3) (pow.f64 d 6)))) (neg.f64 (+.f64 (pow.f64 (/.f64 b d) 2) (-.f64 (/.f64 (pow.f64 (*.f64 a c) 2) (pow.f64 d 4)) (/.f64 (*.f64 b (*.f64 a c)) (pow.f64 d 3))))))
(/.f64 (neg.f64 (+.f64 (/.f64 (pow.f64 (*.f64 c a) 3) (pow.f64 d 6)) (pow.f64 (/.f64 b d) 3))) (neg.f64 (+.f64 (pow.f64 (/.f64 b d) 2) (-.f64 (/.f64 (pow.f64 (*.f64 c a) 2) (pow.f64 d 4)) (/.f64 (*.f64 b (*.f64 c a)) (pow.f64 d 3))))))
(*.f64 1 (/.f64 (+.f64 (/.f64 (pow.f64 (*.f64 c a) 3) (pow.f64 d 6)) (pow.f64 (/.f64 b d) 3)) (+.f64 (pow.f64 (/.f64 b d) 2) (-.f64 (/.f64 (pow.f64 (*.f64 c a) 2) (pow.f64 d 4)) (/.f64 (*.f64 (*.f64 b a) c) (pow.f64 d 3))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 b d) 2) (/.f64 (pow.f64 (*.f64 a c) 2) (pow.f64 d 4)))) (neg.f64 (-.f64 (/.f64 b d) (*.f64 (/.f64 c d) (/.f64 a d)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 b d) 2) (/.f64 (pow.f64 (*.f64 c a) 2) (pow.f64 d 4)))) (neg.f64 (-.f64 (/.f64 b d) (/.f64 (*.f64 (/.f64 a d) c) d))))
(*.f64 1 (/.f64 (-.f64 (pow.f64 (/.f64 b d) 2) (/.f64 (pow.f64 (*.f64 c a) 2) (pow.f64 d 4))) (-.f64 (/.f64 b d) (*.f64 c (/.f64 (/.f64 a d) d)))))
(pow.f64 (fma.f64 (*.f64 a c) (pow.f64 d -2) (/.f64 b d)) 1)
(+.f64 (/.f64 b d) (*.f64 c (/.f64 a (*.f64 d d))))
(fma.f64 c (/.f64 (/.f64 a d) d) (/.f64 b d))
(pow.f64 (cbrt.f64 (fma.f64 (*.f64 a c) (pow.f64 d -2) (/.f64 b d))) 3)
(+.f64 (/.f64 b d) (*.f64 c (/.f64 a (*.f64 d d))))
(fma.f64 c (/.f64 (/.f64 a d) d) (/.f64 b d))
(pow.f64 (pow.f64 (fma.f64 (*.f64 a c) (pow.f64 d -2) (/.f64 b d)) 3) 1/3)
(+.f64 (/.f64 b d) (*.f64 c (/.f64 a (*.f64 d d))))
(fma.f64 c (/.f64 (/.f64 a d) d) (/.f64 b d))
(pow.f64 (sqrt.f64 (fma.f64 (*.f64 a c) (pow.f64 d -2) (/.f64 b d))) 2)
(+.f64 (/.f64 b d) (*.f64 c (/.f64 a (*.f64 d d))))
(fma.f64 c (/.f64 (/.f64 a d) d) (/.f64 b d))
(sqrt.f64 (pow.f64 (fma.f64 (*.f64 a c) (pow.f64 d -2) (/.f64 b d)) 2))
(sqrt.f64 (pow.f64 (fma.f64 (*.f64 c a) (pow.f64 d -2) (/.f64 b d)) 2))
(fabs.f64 (fma.f64 c (/.f64 (/.f64 a d) d) (/.f64 b d)))
(log.f64 (exp.f64 (fma.f64 (*.f64 a c) (pow.f64 d -2) (/.f64 b d))))
(+.f64 (/.f64 b d) (*.f64 c (/.f64 a (*.f64 d d))))
(fma.f64 c (/.f64 (/.f64 a d) d) (/.f64 b d))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 (*.f64 a c) (pow.f64 d -2) (/.f64 b d)))))
(+.f64 (/.f64 b d) (*.f64 c (/.f64 a (*.f64 d d))))
(fma.f64 c (/.f64 (/.f64 a d) d) (/.f64 b d))
(cbrt.f64 (pow.f64 (fma.f64 (*.f64 a c) (pow.f64 d -2) (/.f64 b d)) 3))
(+.f64 (/.f64 b d) (*.f64 c (/.f64 a (*.f64 d d))))
(fma.f64 c (/.f64 (/.f64 a d) d) (/.f64 b d))
(expm1.f64 (log1p.f64 (fma.f64 (*.f64 a c) (pow.f64 d -2) (/.f64 b d))))
(+.f64 (/.f64 b d) (*.f64 c (/.f64 a (*.f64 d d))))
(fma.f64 c (/.f64 (/.f64 a d) d) (/.f64 b d))
(exp.f64 (log.f64 (fma.f64 (*.f64 a c) (pow.f64 d -2) (/.f64 b d))))
(+.f64 (/.f64 b d) (*.f64 c (/.f64 a (*.f64 d d))))
(fma.f64 c (/.f64 (/.f64 a d) d) (/.f64 b d))
(exp.f64 (*.f64 (log.f64 (fma.f64 (*.f64 a c) (pow.f64 d -2) (/.f64 b d))) 1))
(+.f64 (/.f64 b d) (*.f64 c (/.f64 a (*.f64 d d))))
(fma.f64 c (/.f64 (/.f64 a d) d) (/.f64 b d))
(log1p.f64 (expm1.f64 (fma.f64 (*.f64 a c) (pow.f64 d -2) (/.f64 b d))))
(+.f64 (/.f64 b d) (*.f64 c (/.f64 a (*.f64 d d))))
(fma.f64 c (/.f64 (/.f64 a d) d) (/.f64 b d))
(fma.f64 b (/.f64 1 d) (*.f64 (/.f64 c d) (/.f64 a d)))
(fma.f64 b (/.f64 1 d) (/.f64 (*.f64 (/.f64 a d) c) d))
(fma.f64 b (/.f64 1 d) (*.f64 c (/.f64 (/.f64 a d) d)))
(fma.f64 1 (*.f64 (/.f64 c d) (/.f64 a d)) (/.f64 b d))
(+.f64 (/.f64 b d) (*.f64 c (/.f64 a (*.f64 d d))))
(fma.f64 c (/.f64 (/.f64 a d) d) (/.f64 b d))
(fma.f64 1 (/.f64 b d) (*.f64 (/.f64 c d) (/.f64 a d)))
(+.f64 (/.f64 b d) (*.f64 c (/.f64 a (*.f64 d d))))
(fma.f64 c (/.f64 (/.f64 a d) d) (/.f64 b d))
(fma.f64 (*.f64 a c) (pow.f64 d -2) (/.f64 b d))
(+.f64 (/.f64 b d) (*.f64 c (/.f64 a (*.f64 d d))))
(fma.f64 c (/.f64 (/.f64 a d) d) (/.f64 b d))
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 b d)) 2) (cbrt.f64 (/.f64 b d)) (*.f64 (/.f64 c d) (/.f64 a d)))
(+.f64 (/.f64 b d) (*.f64 c (/.f64 a (*.f64 d d))))
(fma.f64 c (/.f64 (/.f64 a d) d) (/.f64 b d))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 (/.f64 c d) (/.f64 a d))) 2) (cbrt.f64 (*.f64 (/.f64 c d) (/.f64 a d))) (/.f64 b d))
(+.f64 (/.f64 b d) (*.f64 c (/.f64 a (*.f64 d d))))
(fma.f64 c (/.f64 (/.f64 a d) d) (/.f64 b d))
(fma.f64 (sqrt.f64 (/.f64 b d)) (sqrt.f64 (/.f64 b d)) (*.f64 (/.f64 c d) (/.f64 a d)))
(+.f64 (/.f64 b d) (*.f64 c (/.f64 a (*.f64 d d))))
(fma.f64 c (/.f64 (/.f64 a d) d) (/.f64 b d))
(fma.f64 (/.f64 (sqrt.f64 (*.f64 a c)) d) (/.f64 (sqrt.f64 (*.f64 a c)) d) (/.f64 b d))
(+.f64 (/.f64 b d) (*.f64 c (/.f64 a (*.f64 d d))))
(fma.f64 c (/.f64 (/.f64 a d) d) (/.f64 b d))

eval171.0ms (1.8%)

Compiler

Compiled 12673 to 5027 computations (60.3% saved)

prune154.0ms (1.6%)

Pruning

30 alts after pruning (28 fresh and 2 done)

PrunedKeptTotal
New60223625
Fresh358
Picked325
Done000
Total60830638
Accuracy
100.0%
Counts
638 → 30
Alt Table
Click to see full alt table
StatusAccuracyProgram
21.2%
(/.f64 (+.f64 (/.f64 d b) (*.f64 (*.f64 (/.f64 d c) (/.f64 d a)) 1)) (*.f64 (*.f64 (/.f64 d c) (/.f64 d a)) (/.f64 d b)))
74.0%
(/.f64 (*.f64 (/.f64 1 (hypot.f64 c d)) (fma.f64 a c (*.f64 b d))) (hypot.f64 c d))
38.0%
(/.f64 (*.f64 c a) (+.f64 (*.f64 c c) (*.f64 d d)))
38.9%
(/.f64 (*.f64 b d) (+.f64 (*.f64 c c) (*.f64 d d)))
30.7%
(/.f64 (*.f64 b d) (*.f64 d d))
16.6%
(/.f64 (*.f64 b d) (*.f64 c c))
43.0%
(/.f64 b d)
42.8%
(/.f64 a c)
48.0%
(+.f64 (/.f64 b d) (/.f64 a (/.f64 (*.f64 d d) c)))
52.7%
(+.f64 (/.f64 b d) (/.f64 1 (*.f64 (/.f64 d c) (/.f64 d a))))
52.7%
(+.f64 (/.f64 b d) (*.f64 (/.f64 c d) (/.f64 a d)))
48.0%
(+.f64 (/.f64 b d) (*.f64 (/.f64 a 1) (/.f64 c (*.f64 d d))))
46.9%
(+.f64 (/.f64 b d) (*.f64 c (/.f64 a (*.f64 d d))))
51.8%
(+.f64 (/.f64 a c) (/.f64 (*.f64 b (/.f64 d c)) c))
51.6%
(+.f64 (/.f64 a c) (/.f64 1 (*.f64 (/.f64 c d) (/.f64 c b))))
51.8%
(+.f64 (/.f64 a c) (*.f64 (/.f64 d c) (/.f64 b c)))
48.7%
(+.f64 (/.f64 a c) (*.f64 (/.f64 1 c) (/.f64 (*.f64 b d) c)))
73.8%
(*.f64 (pow.f64 (sqrt.f64 (hypot.f64 c d)) -2) (/.f64 (fma.f64 a c (*.f64 b d)) (hypot.f64 c d)))
56.5%
(*.f64 (/.f64 d (hypot.f64 c d)) (/.f64 b (hypot.f64 c d)))
74.0%
(*.f64 (/.f64 1 (hypot.f64 c d)) (/.f64 (+.f64 (*.f64 b d) (*.f64 a c)) (hypot.f64 c d)))
45.2%
(*.f64 (/.f64 1 (hypot.f64 c d)) (/.f64 (*.f64 b d) (hypot.f64 c d)))
31.7%
(*.f64 (/.f64 1 (hypot.f64 c d)) (-.f64 (-.f64 (/.f64 (*.f64 1/2 a) (*.f64 (/.f64 c d) (/.f64 c d))) (*.f64 b (/.f64 d c))) a))
33.4%
(*.f64 (/.f64 1 (hypot.f64 c d)) (-.f64 (neg.f64 a) (*.f64 b (/.f64 d c))))
30.4%
(*.f64 (/.f64 1 (hypot.f64 c d)) (+.f64 b (/.f64 (*.f64 a c) d)))
26.2%
(*.f64 (/.f64 1 (hypot.f64 c d)) (+.f64 a (/.f64 (*.f64 b d) c)))
34.4%
(*.f64 (/.f64 1 (hypot.f64 c d)) (neg.f64 a))
27.7%
(*.f64 (/.f64 1 (hypot.f64 c d)) b)
27.8%
(*.f64 (/.f64 1 d) (/.f64 (fma.f64 a c (*.f64 b d)) (hypot.f64 c d)))
20.9%
(*.f64 c (/.f64 (/.f64 a d) d))
19.4%
(*.f64 c (/.f64 a (*.f64 d d)))
21.2%
(/.f64 (+.f64 (/.f64 d b) (*.f64 (*.f64 (/.f64 d c) (/.f64 d a)) 1)) (*.f64 (*.f64 (/.f64 d c) (/.f64 d a)) (/.f64 d b)))
74.0%
(/.f64 (*.f64 (/.f64 1 (hypot.f64 c d)) (fma.f64 a c (*.f64 b d))) (hypot.f64 c d))
38.0%
(/.f64 (*.f64 c a) (+.f64 (*.f64 c c) (*.f64 d d)))
38.9%
(/.f64 (*.f64 b d) (+.f64 (*.f64 c c) (*.f64 d d)))
30.7%
(/.f64 (*.f64 b d) (*.f64 d d))
16.6%
(/.f64 (*.f64 b d) (*.f64 c c))
43.0%
(/.f64 b d)
42.8%
(/.f64 a c)
48.0%
(+.f64 (/.f64 b d) (/.f64 a (/.f64 (*.f64 d d) c)))
52.7%
(+.f64 (/.f64 b d) (/.f64 1 (*.f64 (/.f64 d c) (/.f64 d a))))
52.7%
(+.f64 (/.f64 b d) (*.f64 (/.f64 c d) (/.f64 a d)))
48.0%
(+.f64 (/.f64 b d) (*.f64 (/.f64 a 1) (/.f64 c (*.f64 d d))))
46.9%
(+.f64 (/.f64 b d) (*.f64 c (/.f64 a (*.f64 d d))))
51.8%
(+.f64 (/.f64 a c) (/.f64 (*.f64 b (/.f64 d c)) c))
51.6%
(+.f64 (/.f64 a c) (/.f64 1 (*.f64 (/.f64 c d) (/.f64 c b))))
51.8%
(+.f64 (/.f64 a c) (*.f64 (/.f64 d c) (/.f64 b c)))
48.7%
(+.f64 (/.f64 a c) (*.f64 (/.f64 1 c) (/.f64 (*.f64 b d) c)))
73.8%
(*.f64 (pow.f64 (sqrt.f64 (hypot.f64 c d)) -2) (/.f64 (fma.f64 a c (*.f64 b d)) (hypot.f64 c d)))
56.5%
(*.f64 (/.f64 d (hypot.f64 c d)) (/.f64 b (hypot.f64 c d)))
74.0%
(*.f64 (/.f64 1 (hypot.f64 c d)) (/.f64 (+.f64 (*.f64 b d) (*.f64 a c)) (hypot.f64 c d)))
45.2%
(*.f64 (/.f64 1 (hypot.f64 c d)) (/.f64 (*.f64 b d) (hypot.f64 c d)))
31.7%
(*.f64 (/.f64 1 (hypot.f64 c d)) (-.f64 (-.f64 (/.f64 (*.f64 1/2 a) (*.f64 (/.f64 c d) (/.f64 c d))) (*.f64 b (/.f64 d c))) a))
33.4%
(*.f64 (/.f64 1 (hypot.f64 c d)) (-.f64 (neg.f64 a) (*.f64 b (/.f64 d c))))
30.4%
(*.f64 (/.f64 1 (hypot.f64 c d)) (+.f64 b (/.f64 (*.f64 a c) d)))
26.2%
(*.f64 (/.f64 1 (hypot.f64 c d)) (+.f64 a (/.f64 (*.f64 b d) c)))
34.4%
(*.f64 (/.f64 1 (hypot.f64 c d)) (neg.f64 a))
27.7%
(*.f64 (/.f64 1 (hypot.f64 c d)) b)
27.8%
(*.f64 (/.f64 1 d) (/.f64 (fma.f64 a c (*.f64 b d)) (hypot.f64 c d)))
20.9%
(*.f64 c (/.f64 (/.f64 a d) d))
19.4%
(*.f64 c (/.f64 a (*.f64 d d)))
Compiler

Compiled 1860 to 1132 computations (39.1% saved)

localize121.0ms (1.2%)

Localize:

Found 13 expressions with local error:

NewAccuracyProgram
100.0%
(/.f64 1 (hypot.f64 c d))
92.7%
(*.f64 (/.f64 1 (hypot.f64 c d)) (+.f64 a (/.f64 (*.f64 b d) c)))
92.0%
(/.f64 (*.f64 b d) c)
99.8%
(/.f64 1 (*.f64 (/.f64 c d) (/.f64 c b)))
96.4%
(*.f64 (/.f64 c d) (/.f64 c b))
96.3%
(+.f64 (/.f64 a c) (/.f64 1 (*.f64 (/.f64 c d) (/.f64 c b))))
97.9%
(/.f64 (*.f64 b (/.f64 d c)) c)
96.3%
(+.f64 (/.f64 a c) (/.f64 (*.f64 b (/.f64 d c)) c))
92.6%
(*.f64 b (/.f64 d c))
100.0%
(fma.f64 a c (*.f64 b d))
100.0%
(/.f64 1 (hypot.f64 c d))
99.9%
(/.f64 (*.f64 (/.f64 1 (hypot.f64 c d)) (fma.f64 a c (*.f64 b d))) (hypot.f64 c d))
74.9%
(*.f64 (/.f64 1 (hypot.f64 c d)) (fma.f64 a c (*.f64 b d)))
Compiler

Compiled 177 to 41 computations (76.8% saved)

series18.0ms (0.2%)

Counts
10 → 384
Calls

105 calls:

TimeVariablePointExpression
1.0ms
a
@0
(*.f64 (/.f64 1 (hypot.f64 c d)) (+.f64 a (/.f64 (*.f64 b d) c)))
0.0ms
b
@0
(*.f64 (/.f64 1 (hypot.f64 c d)) (+.f64 a (/.f64 (*.f64 b d) c)))
0.0ms
a
@-inf
(*.f64 (/.f64 1 (hypot.f64 c d)) (+.f64 a (/.f64 (*.f64 b d) c)))
0.0ms
d
@inf
(/.f64 (*.f64 (/.f64 1 (hypot.f64 c d)) (fma.f64 a c (*.f64 b d))) (hypot.f64 c d))
0.0ms
b
@-inf
(*.f64 (/.f64 1 (hypot.f64 c d)) (+.f64 a (/.f64 (*.f64 b d) c)))

rewrite108.0ms (1.1%)

Algorithm
batch-egg-rewrite
Rules
632×add-sqr-sqrt
626×pow1
624×*-un-lft-identity
582×add-exp-log
582×add-cbrt-cube
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
027242
1634238
Stop Event
node limit
Counts
10 → 443
Calls
Call 1
Inputs
(*.f64 (/.f64 1 (hypot.f64 c d)) (fma.f64 a c (*.f64 b d)))
(/.f64 (*.f64 (/.f64 1 (hypot.f64 c d)) (fma.f64 a c (*.f64 b d))) (hypot.f64 c d))
(*.f64 b (/.f64 d c))
(+.f64 (/.f64 a c) (/.f64 (*.f64 b (/.f64 d c)) c))
(/.f64 (*.f64 b (/.f64 d c)) c)
(+.f64 (/.f64 a c) (/.f64 1 (*.f64 (/.f64 c d) (/.f64 c b))))
(*.f64 (/.f64 c d) (/.f64 c b))
(/.f64 1 (*.f64 (/.f64 c d) (/.f64 c b)))
(/.f64 (*.f64 b d) c)
(*.f64 (/.f64 1 (hypot.f64 c d)) (+.f64 a (/.f64 (*.f64 b d) c)))
Outputs
(-.f64 (exp.f64 (log1p.f64 (/.f64 (fma.f64 a c (*.f64 d b)) (hypot.f64 c d)))) 1)
(/.f64 (fma.f64 a c (*.f64 d b)) (hypot.f64 c d))
(/.f64 (neg.f64 (fma.f64 a c (*.f64 d b))) (neg.f64 (hypot.f64 c d)))
(pow.f64 (/.f64 (fma.f64 a c (*.f64 d b)) (hypot.f64 c d)) 1)
(pow.f64 (cbrt.f64 (/.f64 (fma.f64 a c (*.f64 d b)) (hypot.f64 c d))) 3)
(pow.f64 (pow.f64 (/.f64 (fma.f64 a c (*.f64 d b)) (hypot.f64 c d)) 3) 1/3)
(pow.f64 (sqrt.f64 (/.f64 (fma.f64 a c (*.f64 d b)) (hypot.f64 c d))) 2)
(sqrt.f64 (pow.f64 (/.f64 (fma.f64 a c (*.f64 d b)) (hypot.f64 c d)) 2))
(log.f64 (exp.f64 (/.f64 (fma.f64 a c (*.f64 d b)) (hypot.f64 c d))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (fma.f64 a c (*.f64 d b)) (hypot.f64 c d)))))
(cbrt.f64 (pow.f64 (/.f64 (fma.f64 a c (*.f64 d b)) (hypot.f64 c d)) 3))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 1 (hypot.f64 c d)) 3) (pow.f64 (fma.f64 a c (*.f64 d b)) 3)))
(cbrt.f64 (*.f64 (pow.f64 (fma.f64 a c (*.f64 d b)) 3) (pow.f64 (/.f64 1 (hypot.f64 c d)) 3)))
(cbrt.f64 (/.f64 (pow.f64 (fma.f64 a c (*.f64 d b)) 3) (pow.f64 (hypot.f64 c d) 3)))
(expm1.f64 (log1p.f64 (/.f64 (fma.f64 a c (*.f64 d b)) (hypot.f64 c d))))
(exp.f64 (log.f64 (/.f64 (fma.f64 a c (*.f64 d b)) (hypot.f64 c d))))
(exp.f64 (*.f64 (log.f64 (/.f64 (fma.f64 a c (*.f64 d b)) (hypot.f64 c d))) 1))
(log1p.f64 (expm1.f64 (/.f64 (fma.f64 a c (*.f64 d b)) (hypot.f64 c d))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (/.f64 (fma.f64 a c (*.f64 d b)) (hypot.f64 c d)) (hypot.f64 c d)))) 1)
(*.f64 1 (/.f64 (/.f64 (fma.f64 a c (*.f64 d b)) (hypot.f64 c d)) (hypot.f64 c d)))
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(*.f64 (/.f64 b (sqrt.f64 c)) (/.f64 (/.f64 d c) (sqrt.f64 c)))
(*.f64 (/.f64 (/.f64 d c) (sqrt.f64 c)) (/.f64 b (sqrt.f64 c)))
(*.f64 (/.f64 (*.f64 d b) 1) (/.f64 (/.f64 1 c) c))
(*.f64 (/.f64 (*.f64 d b) (pow.f64 (cbrt.f64 c) 2)) (/.f64 (/.f64 1 c) (cbrt.f64 c)))
(*.f64 (/.f64 (*.f64 d b) (sqrt.f64 c)) (/.f64 (/.f64 1 c) (sqrt.f64 c)))
(*.f64 (/.f64 (/.f64 d c) 1) (/.f64 b c))
(*.f64 (/.f64 (/.f64 d c) (pow.f64 (cbrt.f64 c) 2)) (/.f64 b (cbrt.f64 c)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 b (/.f64 d c))) 2) 1) (/.f64 (cbrt.f64 (*.f64 b (/.f64 d c))) c))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 b (/.f64 d c))) 2) (pow.f64 (cbrt.f64 c) 2)) (cbrt.f64 (/.f64 b (/.f64 c (/.f64 d c)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 b (/.f64 d c))) 2) (sqrt.f64 c)) (/.f64 (cbrt.f64 (*.f64 b (/.f64 d c))) (sqrt.f64 c)))
(*.f64 (/.f64 (sqrt.f64 (*.f64 b (/.f64 d c))) 1) (/.f64 (sqrt.f64 (*.f64 b (/.f64 d c))) c))
(*.f64 (/.f64 (sqrt.f64 (*.f64 b (/.f64 d c))) (pow.f64 (cbrt.f64 c) 2)) (/.f64 (sqrt.f64 (*.f64 b (/.f64 d c))) (cbrt.f64 c)))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (/.f64 c b)) 2)) (/.f64 (/.f64 d c) (cbrt.f64 (/.f64 c b))))
(*.f64 (/.f64 1 (sqrt.f64 (/.f64 c b))) (/.f64 (/.f64 d c) (sqrt.f64 (/.f64 c b))))
(*.f64 (/.f64 d 1) (/.f64 (/.f64 1 c) (/.f64 c b)))
(*.f64 (/.f64 d (pow.f64 (cbrt.f64 (/.f64 c b)) 2)) (/.f64 (/.f64 1 c) (cbrt.f64 (/.f64 c b))))
(*.f64 (/.f64 d (sqrt.f64 (/.f64 c b))) (/.f64 (/.f64 1 c) (sqrt.f64 (/.f64 c b))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 d c)) 2) 1) (/.f64 (cbrt.f64 (/.f64 d c)) (/.f64 c b)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 d c)) 2) c) (/.f64 (cbrt.f64 (/.f64 d c)) (/.f64 1 b)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 d c)) 2) (pow.f64 (cbrt.f64 (/.f64 c b)) 2)) (cbrt.f64 (/.f64 b (/.f64 c (/.f64 d c)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 d c)) 2) (sqrt.f64 (/.f64 c b))) (/.f64 (cbrt.f64 (/.f64 d c)) (sqrt.f64 (/.f64 c b))))
(*.f64 (/.f64 (sqrt.f64 (/.f64 d c)) 1) (/.f64 (sqrt.f64 (/.f64 d c)) (/.f64 c b)))
(*.f64 (/.f64 (sqrt.f64 (/.f64 d c)) c) (/.f64 (sqrt.f64 (/.f64 d c)) (/.f64 1 b)))
(*.f64 (/.f64 (sqrt.f64 (/.f64 d c)) (pow.f64 (cbrt.f64 (/.f64 c b)) 2)) (/.f64 (sqrt.f64 (/.f64 d c)) (cbrt.f64 (/.f64 c b))))
(pow.f64 (*.f64 (/.f64 c d) (/.f64 c b)) -1)
(pow.f64 (/.f64 b (/.f64 c (/.f64 d c))) 1)
(pow.f64 (cbrt.f64 (/.f64 b (/.f64 c (/.f64 d c)))) 3)
(pow.f64 (pow.f64 (*.f64 (/.f64 c d) (/.f64 c b)) -3) 1/3)
(pow.f64 (/.f64 1 (/.f64 c (sqrt.f64 (*.f64 d b)))) 2)
(pow.f64 (/.f64 (*.f64 (/.f64 c d) (/.f64 c b)) 1) -1)
(sqrt.f64 (pow.f64 (*.f64 (/.f64 c d) (/.f64 c b)) -2))
(log.f64 (exp.f64 (/.f64 b (/.f64 c (/.f64 d c)))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 b (/.f64 c (/.f64 d c))))))
(cbrt.f64 (pow.f64 (*.f64 (/.f64 c d) (/.f64 c b)) -3))
(expm1.f64 (log1p.f64 (/.f64 b (/.f64 c (/.f64 d c)))))
(exp.f64 (log.f64 (/.f64 b (/.f64 c (/.f64 d c)))))
(exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 c d) (/.f64 c b))) -1))
(exp.f64 (*.f64 (log.f64 (/.f64 b (/.f64 c (/.f64 d c)))) 1))
(log1p.f64 (expm1.f64 (/.f64 b (/.f64 c (/.f64 d c)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 b (/.f64 d c)))) 1)
(*.f64 1 (*.f64 b (/.f64 d c)))
(*.f64 b (/.f64 d c))
(*.f64 (*.f64 d b) (/.f64 1 c))
(*.f64 (/.f64 d c) b)
(*.f64 (pow.f64 (cbrt.f64 (*.f64 b (/.f64 d c))) 2) (cbrt.f64 (*.f64 b (/.f64 d c))))
(*.f64 (sqrt.f64 (/.f64 d c)) (/.f64 b (sqrt.f64 (/.f64 c d))))
(*.f64 (sqrt.f64 (*.f64 b (/.f64 d c))) (sqrt.f64 (*.f64 b (/.f64 d c))))
(*.f64 (/.f64 1 c) (/.f64 b (/.f64 1 d)))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 c) 2)) (/.f64 (*.f64 d b) (cbrt.f64 c)))
(*.f64 (/.f64 1 (sqrt.f64 c)) (/.f64 (*.f64 d b) (sqrt.f64 c)))
(*.f64 (/.f64 d (sqrt.f64 c)) (/.f64 b (sqrt.f64 c)))
(*.f64 (/.f64 b 1) (/.f64 d c))
(*.f64 (/.f64 b (pow.f64 (cbrt.f64 c) 2)) (/.f64 d (cbrt.f64 c)))
(*.f64 (/.f64 b (sqrt.f64 c)) (/.f64 d (sqrt.f64 c)))
(*.f64 (/.f64 d 1) (/.f64 b c))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (/.f64 c d)) 2)) (/.f64 b (cbrt.f64 (/.f64 c d))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 b) 2) 1) (/.f64 (cbrt.f64 b) (/.f64 c d)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 b) 2) c) (/.f64 (cbrt.f64 b) (/.f64 1 d)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 b) 2) (pow.f64 (cbrt.f64 (/.f64 c d)) 2)) (cbrt.f64 (*.f64 b (/.f64 d c))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 b) 2) (sqrt.f64 (/.f64 c d))) (/.f64 (cbrt.f64 b) (sqrt.f64 (/.f64 c d))))
(*.f64 (/.f64 (sqrt.f64 b) 1) (/.f64 (sqrt.f64 b) (/.f64 c d)))
(*.f64 (/.f64 (sqrt.f64 b) c) (/.f64 (sqrt.f64 b) (/.f64 1 d)))
(*.f64 (/.f64 (sqrt.f64 b) (pow.f64 (cbrt.f64 (/.f64 c d)) 2)) (/.f64 (sqrt.f64 b) (cbrt.f64 (/.f64 c d))))
(*.f64 (/.f64 d (pow.f64 (cbrt.f64 c) 2)) (/.f64 b (cbrt.f64 c)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 d b)) 2) 1) (/.f64 (cbrt.f64 (*.f64 d b)) c))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 d b)) 2) (pow.f64 (cbrt.f64 c) 2)) (cbrt.f64 (*.f64 b (/.f64 d c))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 d b)) 2) (sqrt.f64 c)) (/.f64 (cbrt.f64 (*.f64 d b)) (sqrt.f64 c)))
(*.f64 (/.f64 (sqrt.f64 (*.f64 d b)) 1) (/.f64 (sqrt.f64 (*.f64 d b)) c))
(*.f64 (/.f64 (sqrt.f64 (*.f64 d b)) (pow.f64 (cbrt.f64 c) 2)) (/.f64 (sqrt.f64 (*.f64 d b)) (cbrt.f64 c)))
(pow.f64 (*.f64 b (/.f64 d c)) 1)
(pow.f64 (cbrt.f64 (*.f64 b (/.f64 d c))) 3)
(pow.f64 (pow.f64 (*.f64 b (/.f64 d c)) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 b (/.f64 d c))) 2)
(pow.f64 (/.f64 c (*.f64 d b)) -1)
(sqrt.f64 (pow.f64 (*.f64 b (/.f64 d c)) 2))
(log.f64 (pow.f64 (exp.f64 (/.f64 d c)) b))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 b (/.f64 d c)))))
(cbrt.f64 (pow.f64 (*.f64 b (/.f64 d c)) 3))
(expm1.f64 (log1p.f64 (*.f64 b (/.f64 d c))))
(exp.f64 (log.f64 (*.f64 b (/.f64 d c))))
(exp.f64 (*.f64 (log.f64 (*.f64 b (/.f64 d c))) 1))
(log1p.f64 (expm1.f64 (*.f64 b (/.f64 d c))))
(+.f64 (*.f64 (/.f64 1 (hypot.f64 c d)) a) (/.f64 b (*.f64 (hypot.f64 c d) (/.f64 c d))))
(+.f64 (*.f64 a (/.f64 1 (hypot.f64 c d))) (*.f64 (*.f64 b (/.f64 d c)) (/.f64 1 (hypot.f64 c d))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (fma.f64 b (/.f64 d c) a) (hypot.f64 c d)))) 1)
(/.f64 (fma.f64 b (/.f64 d c) a) (hypot.f64 c d))
(/.f64 (+.f64 (pow.f64 a 3) (pow.f64 (*.f64 b (/.f64 d c)) 3)) (*.f64 (hypot.f64 c d) (fma.f64 a a (-.f64 (pow.f64 (*.f64 b (/.f64 d c)) 2) (*.f64 a (*.f64 b (/.f64 d c)))))))
(/.f64 (+.f64 (pow.f64 a 3) (pow.f64 (*.f64 b (/.f64 d c)) 3)) (*.f64 (/.f64 (hypot.f64 c d) 1) (fma.f64 a a (-.f64 (pow.f64 (*.f64 b (/.f64 d c)) 2) (*.f64 a (*.f64 b (/.f64 d c)))))))
(/.f64 (-.f64 (*.f64 a a) (pow.f64 (*.f64 b (/.f64 d c)) 2)) (*.f64 (hypot.f64 c d) (-.f64 a (*.f64 b (/.f64 d c)))))
(/.f64 (-.f64 (*.f64 a a) (pow.f64 (*.f64 b (/.f64 d c)) 2)) (*.f64 (/.f64 (hypot.f64 c d) 1) (-.f64 a (*.f64 b (/.f64 d c)))))
(/.f64 (*.f64 -1 (+.f64 (pow.f64 a 3) (pow.f64 (*.f64 b (/.f64 d c)) 3))) (*.f64 (neg.f64 (hypot.f64 c d)) (fma.f64 a a (-.f64 (pow.f64 (*.f64 b (/.f64 d c)) 2) (*.f64 a (*.f64 b (/.f64 d c)))))))
(/.f64 (*.f64 -1 (-.f64 (*.f64 a a) (pow.f64 (*.f64 b (/.f64 d c)) 2))) (*.f64 (neg.f64 (hypot.f64 c d)) (-.f64 a (*.f64 b (/.f64 d c)))))
(/.f64 (*.f64 (+.f64 (pow.f64 a 3) (pow.f64 (*.f64 b (/.f64 d c)) 3)) 1) (*.f64 (fma.f64 a a (-.f64 (pow.f64 (*.f64 b (/.f64 d c)) 2) (*.f64 a (*.f64 b (/.f64 d c))))) (hypot.f64 c d)))
(/.f64 (*.f64 (+.f64 (pow.f64 a 3) (pow.f64 (*.f64 b (/.f64 d c)) 3)) 1) (*.f64 (fma.f64 a a (-.f64 (pow.f64 (*.f64 b (/.f64 d c)) 2) (*.f64 a (*.f64 b (/.f64 d c))))) (/.f64 (hypot.f64 c d) 1)))
(/.f64 (*.f64 (+.f64 (pow.f64 a 3) (pow.f64 (*.f64 b (/.f64 d c)) 3)) -1) (*.f64 (fma.f64 a a (-.f64 (pow.f64 (*.f64 b (/.f64 d c)) 2) (*.f64 a (*.f64 b (/.f64 d c))))) (neg.f64 (hypot.f64 c d))))
(/.f64 (*.f64 (-.f64 (*.f64 a a) (pow.f64 (*.f64 b (/.f64 d c)) 2)) 1) (*.f64 (-.f64 a (*.f64 b (/.f64 d c))) (hypot.f64 c d)))
(/.f64 (*.f64 (-.f64 (*.f64 a a) (pow.f64 (*.f64 b (/.f64 d c)) 2)) 1) (*.f64 (-.f64 a (*.f64 b (/.f64 d c))) (/.f64 (hypot.f64 c d) 1)))
(/.f64 (*.f64 (-.f64 (*.f64 a a) (pow.f64 (*.f64 b (/.f64 d c)) 2)) -1) (*.f64 (-.f64 a (*.f64 b (/.f64 d c))) (neg.f64 (hypot.f64 c d))))
(/.f64 (neg.f64 (fma.f64 b (/.f64 d c) a)) (neg.f64 (hypot.f64 c d)))
(pow.f64 (/.f64 (fma.f64 b (/.f64 d c) a) (hypot.f64 c d)) 1)
(pow.f64 (cbrt.f64 (/.f64 (fma.f64 b (/.f64 d c) a) (hypot.f64 c d))) 3)
(pow.f64 (pow.f64 (/.f64 (fma.f64 b (/.f64 d c) a) (hypot.f64 c d)) 3) 1/3)
(pow.f64 (sqrt.f64 (/.f64 (fma.f64 b (/.f64 d c) a) (hypot.f64 c d))) 2)
(sqrt.f64 (pow.f64 (/.f64 (fma.f64 b (/.f64 d c) a) (hypot.f64 c d)) 2))
(log.f64 (exp.f64 (/.f64 (fma.f64 b (/.f64 d c) a) (hypot.f64 c d))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (fma.f64 b (/.f64 d c) a) (hypot.f64 c d)))))
(cbrt.f64 (pow.f64 (/.f64 (fma.f64 b (/.f64 d c) a) (hypot.f64 c d)) 3))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 1 (hypot.f64 c d)) 3) (pow.f64 (fma.f64 b (/.f64 d c) a) 3)))
(cbrt.f64 (*.f64 (pow.f64 (fma.f64 b (/.f64 d c) a) 3) (pow.f64 (/.f64 1 (hypot.f64 c d)) 3)))
(cbrt.f64 (/.f64 (pow.f64 (fma.f64 b (/.f64 d c) a) 3) (pow.f64 (hypot.f64 c d) 3)))
(expm1.f64 (log1p.f64 (/.f64 (fma.f64 b (/.f64 d c) a) (hypot.f64 c d))))
(exp.f64 (log.f64 (/.f64 (fma.f64 b (/.f64 d c) a) (hypot.f64 c d))))
(exp.f64 (*.f64 (log.f64 (/.f64 (fma.f64 b (/.f64 d c) a) (hypot.f64 c d))) 1))
(log1p.f64 (expm1.f64 (/.f64 (fma.f64 b (/.f64 d c) a) (hypot.f64 c d))))
(fma.f64 (/.f64 1 (hypot.f64 c d)) a (/.f64 b (*.f64 (hypot.f64 c d) (/.f64 c d))))
(fma.f64 a (/.f64 1 (hypot.f64 c d)) (*.f64 (*.f64 b (/.f64 d c)) (/.f64 1 (hypot.f64 c d))))

simplify201.0ms (2.1%)

Algorithm
egg-herbie
Rules
1440×times-frac
1186×associate-*r/
1048×associate-*l*
804×fma-def
348×*-commutative
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
092328755
1262226623
Stop Event
node limit
Counts
827 → 536
Calls
Call 1
Inputs
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))))))
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))))))
(*.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))))))
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(exp.f64 (log.f64 (*.f64 b (/.f64 d c))))
(exp.f64 (*.f64 (log.f64 (*.f64 b (/.f64 d c))) 1))
(log1p.f64 (expm1.f64 (*.f64 b (/.f64 d c))))
(+.f64 (*.f64 (/.f64 1 (hypot.f64 c d)) a) (/.f64 b (*.f64 (hypot.f64 c d) (/.f64 c d))))
(+.f64 (*.f64 a (/.f64 1 (hypot.f64 c d))) (*.f64 (*.f64 b (/.f64 d c)) (/.f64 1 (hypot.f64 c d))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (fma.f64 b (/.f64 d c) a) (hypot.f64 c d)))) 1)
(/.f64 (fma.f64 b (/.f64 d c) a) (hypot.f64 c d))
(/.f64 (+.f64 (pow.f64 a 3) (pow.f64 (*.f64 b (/.f64 d c)) 3)) (*.f64 (hypot.f64 c d) (fma.f64 a a (-.f64 (pow.f64 (*.f64 b (/.f64 d c)) 2) (*.f64 a (*.f64 b (/.f64 d c)))))))
(/.f64 (+.f64 (pow.f64 a 3) (pow.f64 (*.f64 b (/.f64 d c)) 3)) (*.f64 (/.f64 (hypot.f64 c d) 1) (fma.f64 a a (-.f64 (pow.f64 (*.f64 b (/.f64 d c)) 2) (*.f64 a (*.f64 b (/.f64 d c)))))))
(/.f64 (-.f64 (*.f64 a a) (pow.f64 (*.f64 b (/.f64 d c)) 2)) (*.f64 (hypot.f64 c d) (-.f64 a (*.f64 b (/.f64 d c)))))
(/.f64 (-.f64 (*.f64 a a) (pow.f64 (*.f64 b (/.f64 d c)) 2)) (*.f64 (/.f64 (hypot.f64 c d) 1) (-.f64 a (*.f64 b (/.f64 d c)))))
(/.f64 (*.f64 -1 (+.f64 (pow.f64 a 3) (pow.f64 (*.f64 b (/.f64 d c)) 3))) (*.f64 (neg.f64 (hypot.f64 c d)) (fma.f64 a a (-.f64 (pow.f64 (*.f64 b (/.f64 d c)) 2) (*.f64 a (*.f64 b (/.f64 d c)))))))
(/.f64 (*.f64 -1 (-.f64 (*.f64 a a) (pow.f64 (*.f64 b (/.f64 d c)) 2))) (*.f64 (neg.f64 (hypot.f64 c d)) (-.f64 a (*.f64 b (/.f64 d c)))))
(/.f64 (*.f64 (+.f64 (pow.f64 a 3) (pow.f64 (*.f64 b (/.f64 d c)) 3)) 1) (*.f64 (fma.f64 a a (-.f64 (pow.f64 (*.f64 b (/.f64 d c)) 2) (*.f64 a (*.f64 b (/.f64 d c))))) (hypot.f64 c d)))
(/.f64 (*.f64 (+.f64 (pow.f64 a 3) (pow.f64 (*.f64 b (/.f64 d c)) 3)) 1) (*.f64 (fma.f64 a a (-.f64 (pow.f64 (*.f64 b (/.f64 d c)) 2) (*.f64 a (*.f64 b (/.f64 d c))))) (/.f64 (hypot.f64 c d) 1)))
(/.f64 (*.f64 (+.f64 (pow.f64 a 3) (pow.f64 (*.f64 b (/.f64 d c)) 3)) -1) (*.f64 (fma.f64 a a (-.f64 (pow.f64 (*.f64 b (/.f64 d c)) 2) (*.f64 a (*.f64 b (/.f64 d c))))) (neg.f64 (hypot.f64 c d))))
(/.f64 (*.f64 (-.f64 (*.f64 a a) (pow.f64 (*.f64 b (/.f64 d c)) 2)) 1) (*.f64 (-.f64 a (*.f64 b (/.f64 d c))) (hypot.f64 c d)))
(/.f64 (*.f64 (-.f64 (*.f64 a a) (pow.f64 (*.f64 b (/.f64 d c)) 2)) 1) (*.f64 (-.f64 a (*.f64 b (/.f64 d c))) (/.f64 (hypot.f64 c d) 1)))
(/.f64 (*.f64 (-.f64 (*.f64 a a) (pow.f64 (*.f64 b (/.f64 d c)) 2)) -1) (*.f64 (-.f64 a (*.f64 b (/.f64 d c))) (neg.f64 (hypot.f64 c d))))
(/.f64 (neg.f64 (fma.f64 b (/.f64 d c) a)) (neg.f64 (hypot.f64 c d)))
(pow.f64 (/.f64 (fma.f64 b (/.f64 d c) a) (hypot.f64 c d)) 1)
(pow.f64 (cbrt.f64 (/.f64 (fma.f64 b (/.f64 d c) a) (hypot.f64 c d))) 3)
(pow.f64 (pow.f64 (/.f64 (fma.f64 b (/.f64 d c) a) (hypot.f64 c d)) 3) 1/3)
(pow.f64 (sqrt.f64 (/.f64 (fma.f64 b (/.f64 d c) a) (hypot.f64 c d))) 2)
(sqrt.f64 (pow.f64 (/.f64 (fma.f64 b (/.f64 d c) a) (hypot.f64 c d)) 2))
(log.f64 (exp.f64 (/.f64 (fma.f64 b (/.f64 d c) a) (hypot.f64 c d))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (fma.f64 b (/.f64 d c) a) (hypot.f64 c d)))))
(cbrt.f64 (pow.f64 (/.f64 (fma.f64 b (/.f64 d c) a) (hypot.f64 c d)) 3))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 1 (hypot.f64 c d)) 3) (pow.f64 (fma.f64 b (/.f64 d c) a) 3)))
(cbrt.f64 (*.f64 (pow.f64 (fma.f64 b (/.f64 d c) a) 3) (pow.f64 (/.f64 1 (hypot.f64 c d)) 3)))
(cbrt.f64 (/.f64 (pow.f64 (fma.f64 b (/.f64 d c) a) 3) (pow.f64 (hypot.f64 c d) 3)))
(expm1.f64 (log1p.f64 (/.f64 (fma.f64 b (/.f64 d c) a) (hypot.f64 c d))))
(exp.f64 (log.f64 (/.f64 (fma.f64 b (/.f64 d c) a) (hypot.f64 c d))))
(exp.f64 (*.f64 (log.f64 (/.f64 (fma.f64 b (/.f64 d c) a) (hypot.f64 c d))) 1))
(log1p.f64 (expm1.f64 (/.f64 (fma.f64 b (/.f64 d c) a) (hypot.f64 c d))))
(fma.f64 (/.f64 1 (hypot.f64 c d)) a (/.f64 b (*.f64 (hypot.f64 c d) (/.f64 c d))))
(fma.f64 a (/.f64 1 (hypot.f64 c d)) (*.f64 (*.f64 b (/.f64 d c)) (/.f64 1 (hypot.f64 c d))))
Outputs
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 (*.f64 b (*.f64 c c)) (*.f64 d d)) (/.f64 a (/.f64 d c))))
(+.f64 b (fma.f64 -1/2 (/.f64 b (*.f64 (/.f64 d c) (/.f64 d c))) (/.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 (*.f64 a (pow.f64 c 3)) (pow.f64 d 3)) (fma.f64 -1/2 (/.f64 (*.f64 b (*.f64 c c)) (*.f64 d d)) (/.f64 a (/.f64 d c)))))
(+.f64 b (fma.f64 -1/2 (/.f64 a (pow.f64 (/.f64 d c) 3)) (fma.f64 -1/2 (/.f64 b (*.f64 (/.f64 d c) (/.f64 d c))) (/.f64 a (/.f64 d c)))))
a
(+.f64 a (/.f64 (*.f64 b d) c))
(fma.f64 b (/.f64 d c) a)
(+.f64 a (+.f64 (*.f64 -1/2 (/.f64 (*.f64 a (pow.f64 d 2)) (pow.f64 c 2))) (/.f64 (*.f64 b d) c)))
(+.f64 a (fma.f64 -1/2 (/.f64 (*.f64 a (*.f64 d d)) (*.f64 c c)) (*.f64 b (/.f64 d c))))
(+.f64 a (fma.f64 -1/2 (*.f64 (/.f64 a c) (*.f64 d (/.f64 d c))) (*.f64 b (/.f64 d c))))
(+.f64 a (+.f64 (*.f64 -1/2 (/.f64 (*.f64 a (pow.f64 d 2)) (pow.f64 c 2))) (+.f64 (*.f64 -1/2 (/.f64 (*.f64 b (pow.f64 d 3)) (pow.f64 c 3))) (/.f64 (*.f64 b d) c))))
(+.f64 a (fma.f64 -1/2 (/.f64 (*.f64 a (*.f64 d d)) (*.f64 c c)) (fma.f64 -1/2 (/.f64 b (pow.f64 (/.f64 c d) 3)) (*.f64 b (/.f64 d c)))))
(+.f64 (*.f64 -1/2 (+.f64 (*.f64 (/.f64 a c) (*.f64 d (/.f64 d c))) (/.f64 b (pow.f64 (/.f64 c d) 3)))) (fma.f64 b (/.f64 d c) a))
(*.f64 -1 a)
(neg.f64 a)
(+.f64 (*.f64 -1 a) (*.f64 -1 (/.f64 (*.f64 b d) c)))
(neg.f64 (fma.f64 b (/.f64 d c) a))
(+.f64 (*.f64 -1 a) (+.f64 (*.f64 -1 (/.f64 (*.f64 b d) c)) (*.f64 1/2 (/.f64 (*.f64 a (pow.f64 d 2)) (pow.f64 c 2)))))
(+.f64 (neg.f64 (fma.f64 b (/.f64 d c) a)) (*.f64 (/.f64 (*.f64 a (*.f64 d d)) (*.f64 c c)) 1/2))
(fma.f64 -1 (fma.f64 b (/.f64 d c) a) (*.f64 (*.f64 (/.f64 a c) (*.f64 d (/.f64 d c))) 1/2))
(+.f64 (*.f64 -1 a) (+.f64 (*.f64 -1 (/.f64 (*.f64 b d) c)) (+.f64 (*.f64 1/2 (/.f64 (*.f64 a (pow.f64 d 2)) (pow.f64 c 2))) (*.f64 1/2 (/.f64 (*.f64 b (pow.f64 d 3)) (pow.f64 c 3))))))
(+.f64 (neg.f64 (fma.f64 b (/.f64 d c) a)) (*.f64 1/2 (+.f64 (/.f64 (*.f64 a (*.f64 d d)) (*.f64 c c)) (/.f64 b (pow.f64 (/.f64 c d) 3)))))
(fma.f64 -1 (fma.f64 b (/.f64 d c) a) (*.f64 1/2 (+.f64 (*.f64 (/.f64 a c) (*.f64 d (/.f64 d c))) (/.f64 b (pow.f64 (/.f64 c d) 3)))))
a
(+.f64 a (/.f64 (*.f64 b d) c))
(fma.f64 b (/.f64 d c) a)
(+.f64 a (+.f64 (*.f64 -1/2 (/.f64 (*.f64 a (pow.f64 d 2)) (pow.f64 c 2))) (/.f64 (*.f64 b d) c)))
(+.f64 a (fma.f64 -1/2 (/.f64 (*.f64 a (*.f64 d d)) (*.f64 c c)) (*.f64 b (/.f64 d c))))
(+.f64 a (fma.f64 -1/2 (*.f64 (/.f64 a c) (*.f64 d (/.f64 d c))) (*.f64 b (/.f64 d c))))
(+.f64 a (+.f64 (*.f64 -1/2 (/.f64 (*.f64 a (pow.f64 d 2)) (pow.f64 c 2))) (+.f64 (*.f64 -1/2 (/.f64 (*.f64 b (pow.f64 d 3)) (pow.f64 c 3))) (/.f64 (*.f64 b d) c))))
(+.f64 a (fma.f64 -1/2 (/.f64 (*.f64 a (*.f64 d d)) (*.f64 c c)) (fma.f64 -1/2 (/.f64 b (pow.f64 (/.f64 c d) 3)) (*.f64 b (/.f64 d c)))))
(+.f64 (*.f64 -1/2 (+.f64 (*.f64 (/.f64 a c) (*.f64 d (/.f64 d c))) (/.f64 b (pow.f64 (/.f64 c d) 3)))) (fma.f64 b (/.f64 d 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 (*.f64 b (*.f64 c c)) (*.f64 d d)) (/.f64 a (/.f64 d c))))
(+.f64 b (fma.f64 -1/2 (/.f64 b (*.f64 (/.f64 d c) (/.f64 d c))) (/.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 (*.f64 a (pow.f64 c 3)) (pow.f64 d 3)) (fma.f64 -1/2 (/.f64 (*.f64 b (*.f64 c c)) (*.f64 d d)) (/.f64 a (/.f64 d c)))))
(+.f64 b (fma.f64 -1/2 (/.f64 a (pow.f64 (/.f64 d c) 3)) (fma.f64 -1/2 (/.f64 b (*.f64 (/.f64 d c) (/.f64 d c))) (/.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 (neg.f64 b) (/.f64 a (/.f64 d c)))
(+.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 (*.f64 b (*.f64 c c)) (*.f64 d d)) 1/2)))
(-.f64 (-.f64 (*.f64 (/.f64 b (*.f64 (/.f64 d c) (/.f64 d c))) 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 (*.f64 a (pow.f64 c 3)) (pow.f64 d 3)) (/.f64 (*.f64 b (*.f64 c c)) (*.f64 d d))))))
(-.f64 (-.f64 (*.f64 1/2 (+.f64 (/.f64 b (*.f64 (/.f64 d c) (/.f64 d c))) (/.f64 a (pow.f64 (/.f64 d c) 3)))) (/.f64 a (/.f64 d c))) b)
(*.f64 (*.f64 b d) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 c 2) (pow.f64 d 2)))))
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 (*.f64 c c) (*.f64 d d)))) (*.f64 b d))
(*.f64 b (*.f64 d (sqrt.f64 (/.f64 1 (fma.f64 c c (*.f64 d d))))))
(+.f64 (*.f64 (*.f64 a c) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 c 2) (pow.f64 d 2))))) (*.f64 (*.f64 b d) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 c 2) (pow.f64 d 2))))))
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 (*.f64 c c) (*.f64 d d)))) (fma.f64 a c (*.f64 b d)))
(*.f64 (sqrt.f64 (/.f64 1 (fma.f64 c c (*.f64 d d)))) (fma.f64 a c (*.f64 b d)))
(+.f64 (*.f64 (*.f64 a c) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 c 2) (pow.f64 d 2))))) (*.f64 (*.f64 b d) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 c 2) (pow.f64 d 2))))))
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 (*.f64 c c) (*.f64 d d)))) (fma.f64 a c (*.f64 b d)))
(*.f64 (sqrt.f64 (/.f64 1 (fma.f64 c c (*.f64 d d)))) (fma.f64 a c (*.f64 b d)))
(+.f64 (*.f64 (*.f64 a c) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 c 2) (pow.f64 d 2))))) (*.f64 (*.f64 b d) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 c 2) (pow.f64 d 2))))))
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 (*.f64 c c) (*.f64 d d)))) (fma.f64 a c (*.f64 b d)))
(*.f64 (sqrt.f64 (/.f64 1 (fma.f64 c c (*.f64 d d)))) (fma.f64 a c (*.f64 b d)))
(*.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 (+.f64 (*.f64 c c) (*.f64 d d))))))
(*.f64 c (*.f64 a (sqrt.f64 (/.f64 1 (fma.f64 c c (*.f64 d d))))))
(+.f64 (*.f64 (*.f64 a c) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 c 2) (pow.f64 d 2))))) (*.f64 (*.f64 b d) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 c 2) (pow.f64 d 2))))))
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 (*.f64 c c) (*.f64 d d)))) (fma.f64 a c (*.f64 b d)))
(*.f64 (sqrt.f64 (/.f64 1 (fma.f64 c c (*.f64 d d)))) (fma.f64 a c (*.f64 b d)))
(+.f64 (*.f64 (*.f64 a c) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 c 2) (pow.f64 d 2))))) (*.f64 (*.f64 b d) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 c 2) (pow.f64 d 2))))))
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 (*.f64 c c) (*.f64 d d)))) (fma.f64 a c (*.f64 b d)))
(*.f64 (sqrt.f64 (/.f64 1 (fma.f64 c c (*.f64 d d)))) (fma.f64 a c (*.f64 b d)))
(+.f64 (*.f64 (*.f64 a c) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 c 2) (pow.f64 d 2))))) (*.f64 (*.f64 b d) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 c 2) (pow.f64 d 2))))))
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 (*.f64 c c) (*.f64 d d)))) (fma.f64 a c (*.f64 b d)))
(*.f64 (sqrt.f64 (/.f64 1 (fma.f64 c c (*.f64 d d)))) (fma.f64 a c (*.f64 b d)))
(*.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 (+.f64 (*.f64 c c) (*.f64 d d))))))
(*.f64 c (*.f64 a (sqrt.f64 (/.f64 1 (fma.f64 c c (*.f64 d d))))))
(+.f64 (*.f64 (*.f64 a c) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 c 2) (pow.f64 d 2))))) (*.f64 (*.f64 b d) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 c 2) (pow.f64 d 2))))))
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 (*.f64 c c) (*.f64 d d)))) (fma.f64 a c (*.f64 b d)))
(*.f64 (sqrt.f64 (/.f64 1 (fma.f64 c c (*.f64 d d)))) (fma.f64 a c (*.f64 b d)))
(+.f64 (*.f64 (*.f64 a c) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 c 2) (pow.f64 d 2))))) (*.f64 (*.f64 b d) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 c 2) (pow.f64 d 2))))))
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 (*.f64 c c) (*.f64 d d)))) (fma.f64 a c (*.f64 b d)))
(*.f64 (sqrt.f64 (/.f64 1 (fma.f64 c c (*.f64 d d)))) (fma.f64 a c (*.f64 b d)))
(+.f64 (*.f64 (*.f64 a c) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 c 2) (pow.f64 d 2))))) (*.f64 (*.f64 b d) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 c 2) (pow.f64 d 2))))))
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 (*.f64 c c) (*.f64 d d)))) (fma.f64 a c (*.f64 b d)))
(*.f64 (sqrt.f64 (/.f64 1 (fma.f64 c c (*.f64 d d)))) (fma.f64 a c (*.f64 b d)))
(*.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 (+.f64 (*.f64 c c) (*.f64 d d))))))
(*.f64 c (*.f64 a (sqrt.f64 (/.f64 1 (fma.f64 c c (*.f64 d d))))))
(+.f64 (*.f64 (*.f64 a c) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 c 2) (pow.f64 d 2))))) (*.f64 (*.f64 b d) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 c 2) (pow.f64 d 2))))))
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 (*.f64 c c) (*.f64 d d)))) (fma.f64 a c (*.f64 b d)))
(*.f64 (sqrt.f64 (/.f64 1 (fma.f64 c c (*.f64 d d)))) (fma.f64 a c (*.f64 b d)))
(+.f64 (*.f64 (*.f64 a c) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 c 2) (pow.f64 d 2))))) (*.f64 (*.f64 b d) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 c 2) (pow.f64 d 2))))))
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 (*.f64 c c) (*.f64 d d)))) (fma.f64 a c (*.f64 b d)))
(*.f64 (sqrt.f64 (/.f64 1 (fma.f64 c c (*.f64 d d)))) (fma.f64 a c (*.f64 b d)))
(+.f64 (*.f64 (*.f64 a c) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 c 2) (pow.f64 d 2))))) (*.f64 (*.f64 b d) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 c 2) (pow.f64 d 2))))))
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 (*.f64 c c) (*.f64 d d)))) (fma.f64 a c (*.f64 b d)))
(*.f64 (sqrt.f64 (/.f64 1 (fma.f64 c c (*.f64 d d)))) (fma.f64 a c (*.f64 b d)))
(*.f64 (*.f64 b d) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 c 2) (pow.f64 d 2)))))
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 (*.f64 c c) (*.f64 d d)))) (*.f64 b d))
(*.f64 b (*.f64 d (sqrt.f64 (/.f64 1 (fma.f64 c c (*.f64 d d))))))
(+.f64 (*.f64 (*.f64 a c) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 c 2) (pow.f64 d 2))))) (*.f64 (*.f64 b d) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 c 2) (pow.f64 d 2))))))
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 (*.f64 c c) (*.f64 d d)))) (fma.f64 a c (*.f64 b d)))
(*.f64 (sqrt.f64 (/.f64 1 (fma.f64 c c (*.f64 d d)))) (fma.f64 a c (*.f64 b d)))
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(*.f64 1 (/.f64 (fma.f64 b (/.f64 d c) a) (hypot.f64 c d)))
(pow.f64 (/.f64 (fma.f64 b (/.f64 d c) a) (hypot.f64 c d)) 1)
(/.f64 (fma.f64 b (/.f64 d c) a) (hypot.f64 c d))
(pow.f64 (cbrt.f64 (/.f64 (fma.f64 b (/.f64 d c) a) (hypot.f64 c d))) 3)
(/.f64 (fma.f64 b (/.f64 d c) a) (hypot.f64 c d))
(pow.f64 (pow.f64 (/.f64 (fma.f64 b (/.f64 d c) a) (hypot.f64 c d)) 3) 1/3)
(/.f64 (fma.f64 b (/.f64 d c) a) (hypot.f64 c d))
(pow.f64 (sqrt.f64 (/.f64 (fma.f64 b (/.f64 d c) a) (hypot.f64 c d))) 2)
(/.f64 (fma.f64 b (/.f64 d c) a) (hypot.f64 c d))
(sqrt.f64 (pow.f64 (/.f64 (fma.f64 b (/.f64 d c) a) (hypot.f64 c d)) 2))
(fabs.f64 (/.f64 (fma.f64 b (/.f64 d c) a) (hypot.f64 c d)))
(log.f64 (exp.f64 (/.f64 (fma.f64 b (/.f64 d c) a) (hypot.f64 c d))))
(/.f64 (fma.f64 b (/.f64 d c) a) (hypot.f64 c d))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (fma.f64 b (/.f64 d c) a) (hypot.f64 c d)))))
(/.f64 (fma.f64 b (/.f64 d c) a) (hypot.f64 c d))
(cbrt.f64 (pow.f64 (/.f64 (fma.f64 b (/.f64 d c) a) (hypot.f64 c d)) 3))
(/.f64 (fma.f64 b (/.f64 d c) a) (hypot.f64 c d))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 1 (hypot.f64 c d)) 3) (pow.f64 (fma.f64 b (/.f64 d c) a) 3)))
(cbrt.f64 (*.f64 (/.f64 1 (pow.f64 (hypot.f64 c d) 3)) (pow.f64 (fma.f64 b (/.f64 d c) a) 3)))
(cbrt.f64 (*.f64 (pow.f64 (fma.f64 b (/.f64 d c) a) 3) (pow.f64 (/.f64 1 (hypot.f64 c d)) 3)))
(cbrt.f64 (*.f64 (/.f64 1 (pow.f64 (hypot.f64 c d) 3)) (pow.f64 (fma.f64 b (/.f64 d c) a) 3)))
(cbrt.f64 (/.f64 (pow.f64 (fma.f64 b (/.f64 d c) a) 3) (pow.f64 (hypot.f64 c d) 3)))
(/.f64 (fma.f64 b (/.f64 d c) a) (hypot.f64 c d))
(expm1.f64 (log1p.f64 (/.f64 (fma.f64 b (/.f64 d c) a) (hypot.f64 c d))))
(/.f64 (fma.f64 b (/.f64 d c) a) (hypot.f64 c d))
(exp.f64 (log.f64 (/.f64 (fma.f64 b (/.f64 d c) a) (hypot.f64 c d))))
(/.f64 (fma.f64 b (/.f64 d c) a) (hypot.f64 c d))
(exp.f64 (*.f64 (log.f64 (/.f64 (fma.f64 b (/.f64 d c) a) (hypot.f64 c d))) 1))
(/.f64 (fma.f64 b (/.f64 d c) a) (hypot.f64 c d))
(log1p.f64 (expm1.f64 (/.f64 (fma.f64 b (/.f64 d c) a) (hypot.f64 c d))))
(/.f64 (fma.f64 b (/.f64 d c) a) (hypot.f64 c d))
(fma.f64 (/.f64 1 (hypot.f64 c d)) a (/.f64 b (*.f64 (hypot.f64 c d) (/.f64 c d))))
(fma.f64 (/.f64 1 (hypot.f64 c d)) a (/.f64 (/.f64 b (hypot.f64 c d)) (/.f64 c d)))
(+.f64 (/.f64 a (hypot.f64 c d)) (/.f64 (/.f64 b (hypot.f64 c d)) (/.f64 c d)))
(fma.f64 a (/.f64 1 (hypot.f64 c d)) (*.f64 (*.f64 b (/.f64 d c)) (/.f64 1 (hypot.f64 c d))))
(*.f64 (/.f64 1 (hypot.f64 c d)) (fma.f64 b (/.f64 d c) a))

eval325.0ms (3.3%)

Compiler

Compiled 19412 to 7957 computations (59% saved)

prune209.0ms (2.1%)

Pruning

34 alts after pruning (30 fresh and 4 done)

PrunedKeptTotal
New81918837
Fresh111223
Picked325
Done022
Total83334867
Accuracy
100.0%
Counts
867 → 34
Alt Table
Click to see full alt table
StatusAccuracyProgram
73.1%
(pow.f64 (cbrt.f64 (/.f64 (/.f64 (fma.f64 a c (*.f64 d b)) (hypot.f64 c d)) (hypot.f64 c d))) 3)
21.2%
(/.f64 (+.f64 (/.f64 d b) (*.f64 (*.f64 (/.f64 d c) (/.f64 d a)) 1)) (*.f64 (*.f64 (/.f64 d c) (/.f64 d a)) (/.f64 d b)))
30.5%
(/.f64 (+.f64 b (fma.f64 -1/2 (/.f64 a (pow.f64 (/.f64 d c) 3)) (fma.f64 -1/2 (/.f64 b (*.f64 (/.f64 d c) (/.f64 d c))) (/.f64 a (/.f64 d c))))) (hypot.f64 c d))
30.5%
(/.f64 (+.f64 b (/.f64 (*.f64 a c) d)) (hypot.f64 c d))
26.3%
(/.f64 (+.f64 a (/.f64 (*.f64 b d) c)) (hypot.f64 c d))
74.0%
(/.f64 (*.f64 (/.f64 1 (hypot.f64 c d)) (+.f64 (*.f64 b d) (*.f64 a c))) (hypot.f64 c d))
38.9%
(/.f64 (*.f64 b d) (+.f64 (*.f64 c c) (*.f64 d d)))
30.7%
(/.f64 (*.f64 b d) (*.f64 d d))
8.9%
(/.f64 (neg.f64 b) c)
34.5%
(/.f64 (neg.f64 a) (hypot.f64 c d))
27.8%
(/.f64 b (hypot.f64 c d))
43.0%
(/.f64 b d)
9.3%
(/.f64 b c)
41.5%
(/.f64 a (/.f64 (+.f64 (*.f64 c c) (*.f64 d d)) c))
42.8%
(/.f64 a c)
6.7%
(-.f64 (/.f64 (neg.f64 a) d) (/.f64 b c))
46.7%
(+.f64 (/.f64 b d) (/.f64 (*.f64 a c) (*.f64 d d)))
51.3%
(+.f64 (/.f64 b d) (/.f64 a (*.f64 d (/.f64 d c))))
52.7%
(+.f64 (/.f64 b d) (/.f64 1 (*.f64 (/.f64 d c) (/.f64 d a))))
52.7%
(+.f64 (/.f64 b d) (*.f64 (/.f64 c d) (/.f64 a d)))
6.3%
(+.f64 (/.f64 b c) (/.f64 a d))
51.6%
(+.f64 (/.f64 a c) (/.f64 (/.f64 b (/.f64 c d)) c))
51.8%
(+.f64 (/.f64 a c) (/.f64 (*.f64 b (/.f64 d c)) c))
51.8%
(+.f64 (/.f64 a c) (*.f64 (/.f64 d c) (/.f64 (/.f64 1 c) (/.f64 1 b))))
56.5%
(*.f64 (/.f64 d (hypot.f64 c d)) (/.f64 b (hypot.f64 c d)))
21.7%
(*.f64 (/.f64 b c) (/.f64 d c))
45.2%
(*.f64 (/.f64 1 (hypot.f64 c d)) (/.f64 (*.f64 b d) (hypot.f64 c d)))
31.7%
(*.f64 (/.f64 1 (hypot.f64 c d)) (-.f64 (-.f64 (/.f64 (*.f64 1/2 a) (*.f64 (/.f64 c d) (/.f64 c d))) (*.f64 b (/.f64 d c))) a))
33.4%
(*.f64 (/.f64 1 (hypot.f64 c d)) (-.f64 (neg.f64 a) (*.f64 b (/.f64 d c))))
27.7%
(*.f64 (/.f64 1 (hypot.f64 c d)) b)
27.8%
(*.f64 (/.f64 1 d) (/.f64 (fma.f64 a c (*.f64 b d)) (hypot.f64 c d)))
19.8%
(*.f64 d (/.f64 (/.f64 b c) c))
20.9%
(*.f64 c (/.f64 (/.f64 a d) d))
19.4%
(*.f64 c (/.f64 a (*.f64 d d)))
73.1%
(pow.f64 (cbrt.f64 (/.f64 (/.f64 (fma.f64 a c (*.f64 d b)) (hypot.f64 c d)) (hypot.f64 c d))) 3)
21.2%
(/.f64 (+.f64 (/.f64 d b) (*.f64 (*.f64 (/.f64 d c) (/.f64 d a)) 1)) (*.f64 (*.f64 (/.f64 d c) (/.f64 d a)) (/.f64 d b)))
30.5%
(/.f64 (+.f64 b (fma.f64 -1/2 (/.f64 a (pow.f64 (/.f64 d c) 3)) (fma.f64 -1/2 (/.f64 b (*.f64 (/.f64 d c) (/.f64 d c))) (/.f64 a (/.f64 d c))))) (hypot.f64 c d))
30.5%
(/.f64 (+.f64 b (/.f64 (*.f64 a c) d)) (hypot.f64 c d))
26.3%
(/.f64 (+.f64 a (/.f64 (*.f64 b d) c)) (hypot.f64 c d))
74.0%
(/.f64 (*.f64 (/.f64 1 (hypot.f64 c d)) (+.f64 (*.f64 b d) (*.f64 a c))) (hypot.f64 c d))
38.9%
(/.f64 (*.f64 b d) (+.f64 (*.f64 c c) (*.f64 d d)))
30.7%
(/.f64 (*.f64 b d) (*.f64 d d))
8.9%
(/.f64 (neg.f64 b) c)
34.5%
(/.f64 (neg.f64 a) (hypot.f64 c d))
27.8%
(/.f64 b (hypot.f64 c d))
43.0%
(/.f64 b d)
9.3%
(/.f64 b c)
41.5%
(/.f64 a (/.f64 (+.f64 (*.f64 c c) (*.f64 d d)) c))
42.8%
(/.f64 a c)
6.7%
(-.f64 (/.f64 (neg.f64 a) d) (/.f64 b c))
46.7%
(+.f64 (/.f64 b d) (/.f64 (*.f64 a c) (*.f64 d d)))
51.3%
(+.f64 (/.f64 b d) (/.f64 a (*.f64 d (/.f64 d c))))
52.7%
(+.f64 (/.f64 b d) (/.f64 1 (*.f64 (/.f64 d c) (/.f64 d a))))
52.7%
(+.f64 (/.f64 b d) (*.f64 (/.f64 c d) (/.f64 a d)))
6.3%
(+.f64 (/.f64 b c) (/.f64 a d))
51.6%
(+.f64 (/.f64 a c) (/.f64 (/.f64 b (/.f64 c d)) c))
51.8%
(+.f64 (/.f64 a c) (/.f64 (*.f64 b (/.f64 d c)) c))
51.8%
(+.f64 (/.f64 a c) (*.f64 (/.f64 d c) (/.f64 (/.f64 1 c) (/.f64 1 b))))
56.5%
(*.f64 (/.f64 d (hypot.f64 c d)) (/.f64 b (hypot.f64 c d)))
21.7%
(*.f64 (/.f64 b c) (/.f64 d c))
45.2%
(*.f64 (/.f64 1 (hypot.f64 c d)) (/.f64 (*.f64 b d) (hypot.f64 c d)))
31.7%
(*.f64 (/.f64 1 (hypot.f64 c d)) (-.f64 (-.f64 (/.f64 (*.f64 1/2 a) (*.f64 (/.f64 c d) (/.f64 c d))) (*.f64 b (/.f64 d c))) a))
33.4%
(*.f64 (/.f64 1 (hypot.f64 c d)) (-.f64 (neg.f64 a) (*.f64 b (/.f64 d c))))
27.7%
(*.f64 (/.f64 1 (hypot.f64 c d)) b)
27.8%
(*.f64 (/.f64 1 d) (/.f64 (fma.f64 a c (*.f64 b d)) (hypot.f64 c d)))
19.8%
(*.f64 d (/.f64 (/.f64 b c) c))
20.9%
(*.f64 c (/.f64 (/.f64 a d) d))
19.4%
(*.f64 c (/.f64 a (*.f64 d d)))
Compiler

Compiled 1956 to 1184 computations (39.5% saved)

localize110.0ms (1.1%)

Localize:

Found 10 expressions with local error:

NewAccuracyProgram
92.6%
(/.f64 (+.f64 b (/.f64 (*.f64 a c) d)) (hypot.f64 c d))
90.1%
(/.f64 (*.f64 a c) d)
98.6%
(/.f64 1 (*.f64 (/.f64 d c) (/.f64 d a)))
97.3%
(+.f64 (/.f64 b d) (/.f64 1 (*.f64 (/.f64 d c) (/.f64 d a))))
95.2%
(*.f64 (/.f64 d c) (/.f64 d a))
66.8%
(/.f64 (*.f64 b d) (*.f64 d d))
100.0%
(/.f64 1 (hypot.f64 c d))
99.9%
(/.f64 (*.f64 (/.f64 1 (hypot.f64 c d)) (+.f64 (*.f64 b d) (*.f64 a c))) (hypot.f64 c d))
98.6%
(+.f64 (*.f64 b d) (*.f64 a c))
74.9%
(*.f64 (/.f64 1 (hypot.f64 c d)) (+.f64 (*.f64 b d) (*.f64 a c)))
Compiler

Compiled 157 to 35 computations (77.7% saved)

series25.0ms (0.3%)

Counts
9 → 336
Calls

93 calls:

TimeVariablePointExpression
5.0ms
d
@inf
(*.f64 (/.f64 d c) (/.f64 d a))
2.0ms
a
@-inf
(/.f64 (+.f64 b (/.f64 (*.f64 a c) d)) (hypot.f64 c d))
1.0ms
b
@0
(/.f64 (+.f64 b (/.f64 (*.f64 a c) d)) (hypot.f64 c d))
0.0ms
b
@inf
(/.f64 (+.f64 b (/.f64 (*.f64 a c) d)) (hypot.f64 c d))
0.0ms
a
@0
(/.f64 (+.f64 b (/.f64 (*.f64 a c) d)) (hypot.f64 c d))

rewrite93.0ms (1%)

Algorithm
batch-egg-rewrite
Rules
622×add-sqr-sqrt
616×pow1
614×*-un-lft-identity
576×add-exp-log
576×add-cbrt-cube
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
025225
1596213
Stop Event
node limit
Counts
9 → 323
Calls
Call 1
Inputs
(*.f64 (/.f64 1 (hypot.f64 c d)) (+.f64 (*.f64 b d) (*.f64 a c)))
(+.f64 (*.f64 b d) (*.f64 a c))
(/.f64 (*.f64 (/.f64 1 (hypot.f64 c d)) (+.f64 (*.f64 b d) (*.f64 a c))) (hypot.f64 c d))
(/.f64 (*.f64 b d) (*.f64 d d))
(*.f64 (/.f64 d c) (/.f64 d a))
(+.f64 (/.f64 b d) (/.f64 1 (*.f64 (/.f64 d c) (/.f64 d a))))
(/.f64 1 (*.f64 (/.f64 d c) (/.f64 d a)))
(/.f64 (*.f64 a c) d)
(/.f64 (+.f64 b (/.f64 (*.f64 a c) d)) (hypot.f64 c d))
Outputs
(+.f64 (*.f64 (/.f64 1 (hypot.f64 c d)) (*.f64 d b)) (*.f64 (/.f64 1 (hypot.f64 c d)) (*.f64 c a)))
(+.f64 (*.f64 (*.f64 d b) (/.f64 1 (hypot.f64 c d))) (*.f64 (*.f64 c a) (/.f64 1 (hypot.f64 c d))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (fma.f64 c a (*.f64 d b)) (hypot.f64 c d)))) 1)
(/.f64 (fma.f64 c a (*.f64 d b)) (hypot.f64 c d))
(/.f64 (+.f64 (pow.f64 (*.f64 d b) 3) (pow.f64 (*.f64 c a) 3)) (*.f64 (hypot.f64 c d) (+.f64 (pow.f64 (*.f64 d b) 2) (-.f64 (pow.f64 (*.f64 c a) 2) (*.f64 (*.f64 d b) (*.f64 c a))))))
(/.f64 (+.f64 (pow.f64 (*.f64 d b) 3) (pow.f64 (*.f64 c a) 3)) (*.f64 (/.f64 (hypot.f64 c d) 1) (+.f64 (pow.f64 (*.f64 d b) 2) (-.f64 (pow.f64 (*.f64 c a) 2) (*.f64 (*.f64 d b) (*.f64 c a))))))
(/.f64 (-.f64 (pow.f64 (*.f64 d b) 2) (pow.f64 (*.f64 c a) 2)) (*.f64 (hypot.f64 c d) (-.f64 (*.f64 d b) (*.f64 c a))))
(/.f64 (-.f64 (pow.f64 (*.f64 d b) 2) (pow.f64 (*.f64 c a) 2)) (*.f64 (/.f64 (hypot.f64 c d) 1) (-.f64 (*.f64 d b) (*.f64 c a))))
(/.f64 (*.f64 -1 (+.f64 (pow.f64 (*.f64 d b) 3) (pow.f64 (*.f64 c a) 3))) (*.f64 (neg.f64 (hypot.f64 c d)) (+.f64 (pow.f64 (*.f64 d b) 2) (-.f64 (pow.f64 (*.f64 c a) 2) (*.f64 (*.f64 d b) (*.f64 c a))))))
(/.f64 (*.f64 -1 (-.f64 (pow.f64 (*.f64 d b) 2) (pow.f64 (*.f64 c a) 2))) (*.f64 (neg.f64 (hypot.f64 c d)) (-.f64 (*.f64 d b) (*.f64 c a))))
(/.f64 (*.f64 (+.f64 (pow.f64 (*.f64 d b) 3) (pow.f64 (*.f64 c a) 3)) 1) (*.f64 (+.f64 (pow.f64 (*.f64 d b) 2) (-.f64 (pow.f64 (*.f64 c a) 2) (*.f64 (*.f64 d b) (*.f64 c a)))) (hypot.f64 c d)))
(/.f64 (*.f64 (+.f64 (pow.f64 (*.f64 d b) 3) (pow.f64 (*.f64 c a) 3)) 1) (*.f64 (+.f64 (pow.f64 (*.f64 d b) 2) (-.f64 (pow.f64 (*.f64 c a) 2) (*.f64 (*.f64 d b) (*.f64 c a)))) (/.f64 (hypot.f64 c d) 1)))
(/.f64 (*.f64 (+.f64 (pow.f64 (*.f64 d b) 3) (pow.f64 (*.f64 c a) 3)) -1) (*.f64 (+.f64 (pow.f64 (*.f64 d b) 2) (-.f64 (pow.f64 (*.f64 c a) 2) (*.f64 (*.f64 d b) (*.f64 c a)))) (neg.f64 (hypot.f64 c d))))
(/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 d b) 2) (pow.f64 (*.f64 c a) 2)) 1) (*.f64 (-.f64 (*.f64 d b) (*.f64 c a)) (hypot.f64 c d)))
(/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 d b) 2) (pow.f64 (*.f64 c a) 2)) 1) (*.f64 (-.f64 (*.f64 d b) (*.f64 c a)) (/.f64 (hypot.f64 c d) 1)))
(/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 d b) 2) (pow.f64 (*.f64 c a) 2)) -1) (*.f64 (-.f64 (*.f64 d b) (*.f64 c a)) (neg.f64 (hypot.f64 c d))))
(/.f64 (neg.f64 (fma.f64 c a (*.f64 d b))) (neg.f64 (hypot.f64 c d)))
(/.f64 (+.f64 (pow.f64 (*.f64 (/.f64 1 (hypot.f64 c d)) (*.f64 d b)) 3) (pow.f64 (*.f64 (/.f64 1 (hypot.f64 c d)) (*.f64 c a)) 3)) (+.f64 (*.f64 (*.f64 (/.f64 1 (hypot.f64 c d)) (*.f64 d b)) (*.f64 (/.f64 1 (hypot.f64 c d)) (*.f64 d b))) (-.f64 (*.f64 (*.f64 (/.f64 1 (hypot.f64 c d)) (*.f64 c a)) (*.f64 (/.f64 1 (hypot.f64 c d)) (*.f64 c a))) (*.f64 (*.f64 (/.f64 1 (hypot.f64 c d)) (*.f64 d b)) (*.f64 (/.f64 1 (hypot.f64 c d)) (*.f64 c a))))))
(/.f64 (+.f64 (pow.f64 (*.f64 (*.f64 d b) (/.f64 1 (hypot.f64 c d))) 3) (pow.f64 (*.f64 (*.f64 c a) (/.f64 1 (hypot.f64 c d))) 3)) (+.f64 (*.f64 (*.f64 (*.f64 d b) (/.f64 1 (hypot.f64 c d))) (*.f64 (*.f64 d b) (/.f64 1 (hypot.f64 c d)))) (-.f64 (*.f64 (*.f64 (*.f64 c a) (/.f64 1 (hypot.f64 c d))) (*.f64 (*.f64 c a) (/.f64 1 (hypot.f64 c d)))) (*.f64 (*.f64 (*.f64 d b) (/.f64 1 (hypot.f64 c d))) (*.f64 (*.f64 c a) (/.f64 1 (hypot.f64 c d)))))))
(pow.f64 (/.f64 (fma.f64 c a (*.f64 d b)) (hypot.f64 c d)) 1)
(pow.f64 (cbrt.f64 (/.f64 (fma.f64 c a (*.f64 d b)) (hypot.f64 c d))) 3)
(pow.f64 (pow.f64 (/.f64 (fma.f64 c a (*.f64 d b)) (hypot.f64 c d)) 3) 1/3)
(pow.f64 (sqrt.f64 (/.f64 (fma.f64 c a (*.f64 d b)) (hypot.f64 c d))) 2)
(sqrt.f64 (pow.f64 (/.f64 (fma.f64 c a (*.f64 d b)) (hypot.f64 c d)) 2))
(log.f64 (exp.f64 (/.f64 (fma.f64 c a (*.f64 d b)) (hypot.f64 c d))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (fma.f64 c a (*.f64 d b)) (hypot.f64 c d)))))
(cbrt.f64 (pow.f64 (/.f64 (fma.f64 c a (*.f64 d b)) (hypot.f64 c d)) 3))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 1 (hypot.f64 c d)) 3) (pow.f64 (fma.f64 c a (*.f64 d b)) 3)))
(cbrt.f64 (*.f64 (pow.f64 (fma.f64 c a (*.f64 d b)) 3) (pow.f64 (/.f64 1 (hypot.f64 c d)) 3)))
(cbrt.f64 (/.f64 (pow.f64 (fma.f64 c a (*.f64 d b)) 3) (pow.f64 (hypot.f64 c d) 3)))
(expm1.f64 (log1p.f64 (/.f64 (fma.f64 c a (*.f64 d b)) (hypot.f64 c d))))
(exp.f64 (log.f64 (/.f64 (fma.f64 c a (*.f64 d b)) (hypot.f64 c d))))
(exp.f64 (*.f64 (log.f64 (/.f64 (fma.f64 c a (*.f64 d b)) (hypot.f64 c d))) 1))
(log1p.f64 (expm1.f64 (/.f64 (fma.f64 c a (*.f64 d b)) (hypot.f64 c d))))
(fma.f64 (/.f64 1 (hypot.f64 c d)) (*.f64 d b) (*.f64 (/.f64 1 (hypot.f64 c d)) (*.f64 c a)))
(fma.f64 (*.f64 d b) (/.f64 1 (hypot.f64 c d)) (*.f64 (*.f64 c a) (/.f64 1 (hypot.f64 c d))))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 c a (*.f64 d b)))) 1)
(-.f64 (/.f64 (pow.f64 (*.f64 d b) 2) (-.f64 (*.f64 d b) (*.f64 c a))) (/.f64 (pow.f64 (*.f64 c a) 2) (-.f64 (*.f64 d b) (*.f64 c a))))
(*.f64 1 (fma.f64 c a (*.f64 d b)))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 c a (*.f64 d b))) 2) (cbrt.f64 (fma.f64 c a (*.f64 d b))))
(*.f64 (sqrt.f64 (fma.f64 c a (*.f64 d b))) (sqrt.f64 (fma.f64 c a (*.f64 d b))))
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(/.f64 (+.f64 (*.f64 -1 (neg.f64 d)) (*.f64 (neg.f64 (*.f64 (/.f64 d c) (/.f64 d a))) (neg.f64 b))) (*.f64 (neg.f64 (*.f64 (/.f64 d c) (/.f64 d a))) (neg.f64 d)))
(/.f64 (+.f64 (*.f64 (/.f64 1 (/.f64 d c)) (/.f64 d b)) (*.f64 (/.f64 d a) 1)) (*.f64 (/.f64 d a) (/.f64 d b)))
(/.f64 (+.f64 (*.f64 (/.f64 1 (/.f64 d c)) d) (*.f64 (/.f64 d a) b)) (*.f64 (/.f64 d a) d))
(/.f64 (+.f64 (*.f64 (/.f64 1 (/.f64 d c)) (neg.f64 d)) (*.f64 (/.f64 d a) (neg.f64 b))) (*.f64 (/.f64 d a) (neg.f64 d)))
(/.f64 (neg.f64 (fma.f64 b (*.f64 (/.f64 d c) (/.f64 d a)) (*.f64 d 1))) (neg.f64 (*.f64 d (*.f64 (/.f64 d c) (/.f64 d a)))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (/.f64 b d) 3) (pow.f64 (*.f64 (/.f64 d c) (/.f64 d a)) -3))) (neg.f64 (+.f64 (pow.f64 (/.f64 b d) 2) (-.f64 (pow.f64 (*.f64 (/.f64 d c) (/.f64 d a)) -2) (/.f64 (*.f64 b (/.f64 1 (/.f64 d c))) (*.f64 d (/.f64 d a)))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 b d) 2) (pow.f64 (*.f64 (/.f64 d c) (/.f64 d a)) -2))) (neg.f64 (-.f64 (/.f64 b d) (/.f64 1 (*.f64 (/.f64 d c) (/.f64 d a))))))
(/.f64 (+.f64 (pow.f64 (*.f64 (/.f64 d c) (/.f64 d a)) -3) (pow.f64 (/.f64 b d) 3)) (+.f64 (pow.f64 (*.f64 (/.f64 d c) (/.f64 d a)) -2) (-.f64 (pow.f64 (/.f64 b d) 2) (*.f64 (/.f64 1 (*.f64 (/.f64 d c) (/.f64 d a))) (/.f64 b d)))))
(pow.f64 (+.f64 (/.f64 b d) (/.f64 1 (*.f64 (/.f64 d c) (/.f64 d a)))) 1)
(pow.f64 (cbrt.f64 (+.f64 (/.f64 b d) (/.f64 1 (*.f64 (/.f64 d c) (/.f64 d a))))) 3)
(pow.f64 (pow.f64 (+.f64 (/.f64 b d) (/.f64 1 (*.f64 (/.f64 d c) (/.f64 d a)))) 3) 1/3)
(pow.f64 (hypot.f64 (/.f64 1 (/.f64 d (sqrt.f64 (*.f64 c a)))) (sqrt.f64 (/.f64 b d))) 2)
(sqrt.f64 (pow.f64 (+.f64 (/.f64 b d) (/.f64 1 (*.f64 (/.f64 d c) (/.f64 d a)))) 2))
(log.f64 (exp.f64 (+.f64 (/.f64 b d) (/.f64 1 (*.f64 (/.f64 d c) (/.f64 d a))))))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 (/.f64 b d) (/.f64 1 (*.f64 (/.f64 d c) (/.f64 d a)))))))
(cbrt.f64 (pow.f64 (+.f64 (/.f64 b d) (/.f64 1 (*.f64 (/.f64 d c) (/.f64 d a)))) 3))
(expm1.f64 (log1p.f64 (+.f64 (/.f64 b d) (/.f64 1 (*.f64 (/.f64 d c) (/.f64 d a))))))
(exp.f64 (log.f64 (+.f64 (/.f64 b d) (/.f64 1 (*.f64 (/.f64 d c) (/.f64 d a))))))
(exp.f64 (*.f64 (log.f64 (+.f64 (/.f64 b d) (/.f64 1 (*.f64 (/.f64 d c) (/.f64 d a))))) 1))
(log1p.f64 (expm1.f64 (+.f64 (/.f64 b d) (/.f64 1 (*.f64 (/.f64 d c) (/.f64 d a))))))
(fma.f64 1 (/.f64 b d) (/.f64 1 (*.f64 (/.f64 d c) (/.f64 d a))))
(fma.f64 1 (/.f64 1 (*.f64 (/.f64 d c) (/.f64 d a))) (/.f64 b d))
(fma.f64 b (/.f64 1 d) (/.f64 1 (*.f64 (/.f64 d c) (/.f64 d a))))
(fma.f64 (cbrt.f64 (pow.f64 (*.f64 (/.f64 d c) (/.f64 d a)) -2)) (/.f64 1 (cbrt.f64 (*.f64 (/.f64 d c) (/.f64 d a)))) (/.f64 b d))
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 b d)) 2) (cbrt.f64 (/.f64 b d)) (/.f64 1 (*.f64 (/.f64 d c) (/.f64 d a))))
(fma.f64 (/.f64 1 (/.f64 d (sqrt.f64 (*.f64 c a)))) (/.f64 1 (/.f64 d (sqrt.f64 (*.f64 c a)))) (/.f64 b d))
(fma.f64 (sqrt.f64 (/.f64 b d)) (sqrt.f64 (/.f64 b d)) (/.f64 1 (*.f64 (/.f64 d c) (/.f64 d a))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 1 (*.f64 (/.f64 d c) (/.f64 d a))))) 1)
(*.f64 1 (/.f64 1 (*.f64 (/.f64 d c) (/.f64 d a))))
(*.f64 (cbrt.f64 (pow.f64 (*.f64 (/.f64 d c) (/.f64 d a)) -2)) (/.f64 1 (cbrt.f64 (*.f64 (/.f64 d c) (/.f64 d a)))))
(*.f64 (/.f64 1 (/.f64 d (sqrt.f64 (*.f64 c a)))) (/.f64 1 (/.f64 d (sqrt.f64 (*.f64 c a)))))
(*.f64 (/.f64 1 (/.f64 d c)) (pow.f64 (/.f64 d a) -1))
(*.f64 (pow.f64 (/.f64 d a) -1) (/.f64 1 (/.f64 d c)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (*.f64 (/.f64 d c) (/.f64 d a))) 2) -1) (pow.f64 (cbrt.f64 (*.f64 (/.f64 d c) (/.f64 d a))) -1))
(*.f64 (pow.f64 (/.f64 d (sqrt.f64 (*.f64 c a))) -1) (pow.f64 (/.f64 d (sqrt.f64 (*.f64 c a))) -1))
(pow.f64 (*.f64 (/.f64 d c) (/.f64 d a)) -1)
(pow.f64 (/.f64 1 (*.f64 (/.f64 d c) (/.f64 d a))) 1)
(pow.f64 (/.f64 1 (cbrt.f64 (*.f64 (/.f64 d c) (/.f64 d a)))) 3)
(pow.f64 (pow.f64 (*.f64 (/.f64 d c) (/.f64 d a)) -3) 1/3)
(pow.f64 (/.f64 1 (/.f64 d (sqrt.f64 (*.f64 c a)))) 2)
(pow.f64 (/.f64 (*.f64 (/.f64 d c) (/.f64 d a)) 1) -1)
(sqrt.f64 (pow.f64 (*.f64 (/.f64 d c) (/.f64 d a)) -2))
(log.f64 (exp.f64 (/.f64 1 (*.f64 (/.f64 d c) (/.f64 d a)))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (*.f64 (/.f64 d c) (/.f64 d a))))))
(cbrt.f64 (pow.f64 (*.f64 (/.f64 d c) (/.f64 d a)) -3))
(expm1.f64 (log1p.f64 (/.f64 1 (*.f64 (/.f64 d c) (/.f64 d a)))))
(exp.f64 (neg.f64 (log.f64 (*.f64 (/.f64 d c) (/.f64 d a)))))
(exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 d c) (/.f64 d a))) -1))
(exp.f64 (*.f64 (neg.f64 (log.f64 (*.f64 (/.f64 d c) (/.f64 d a)))) 1))
(log1p.f64 (expm1.f64 (/.f64 1 (*.f64 (/.f64 d c) (/.f64 d a)))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 a (/.f64 d c)))) 1)
(*.f64 1 (/.f64 a (/.f64 d c)))
(*.f64 (*.f64 c a) (/.f64 1 d))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 a (/.f64 d c))) 2) (cbrt.f64 (/.f64 a (/.f64 d c))))
(*.f64 (sqrt.f64 (/.f64 a (/.f64 d c))) (sqrt.f64 (/.f64 a (/.f64 d c))))
(*.f64 (/.f64 1 d) (/.f64 a (/.f64 1 c)))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (/.f64 d c)) 2)) (/.f64 a (cbrt.f64 (/.f64 d c))))
(*.f64 (/.f64 1 (sqrt.f64 (/.f64 d c))) (/.f64 a (sqrt.f64 (/.f64 d c))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 a) 2) 1) (/.f64 (cbrt.f64 a) (/.f64 d c)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 a) 2) d) (/.f64 (cbrt.f64 a) (/.f64 1 c)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 a) 2) (pow.f64 (cbrt.f64 (/.f64 d c)) 2)) (cbrt.f64 (/.f64 a (/.f64 d c))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 a) 2) (sqrt.f64 (/.f64 d c))) (/.f64 (cbrt.f64 a) (sqrt.f64 (/.f64 d c))))
(*.f64 (/.f64 (sqrt.f64 a) 1) (/.f64 (sqrt.f64 a) (/.f64 d c)))
(*.f64 (/.f64 (sqrt.f64 a) d) (/.f64 (sqrt.f64 a) (/.f64 1 c)))
(*.f64 (/.f64 (sqrt.f64 a) (pow.f64 (cbrt.f64 (/.f64 d c)) 2)) (/.f64 (sqrt.f64 a) (cbrt.f64 (/.f64 d c))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 d) 2)) (/.f64 (*.f64 c a) (cbrt.f64 d)))
(*.f64 (/.f64 1 (sqrt.f64 d)) (/.f64 (*.f64 c a) (sqrt.f64 d)))
(*.f64 (/.f64 c 1) (/.f64 a d))
(*.f64 (/.f64 c (pow.f64 (cbrt.f64 d) 2)) (/.f64 a (cbrt.f64 d)))
(*.f64 (/.f64 c (sqrt.f64 d)) (/.f64 a (sqrt.f64 d)))
(*.f64 (/.f64 a (sqrt.f64 d)) (/.f64 c (sqrt.f64 d)))
(*.f64 (/.f64 a 1) (/.f64 c d))
(*.f64 (/.f64 a (pow.f64 (cbrt.f64 d) 2)) (/.f64 c (cbrt.f64 d)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 c a)) 2) 1) (/.f64 (cbrt.f64 (*.f64 c a)) d))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 c a)) 2) (pow.f64 (cbrt.f64 d) 2)) (cbrt.f64 (/.f64 a (/.f64 d c))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 c a)) 2) (sqrt.f64 d)) (/.f64 (cbrt.f64 (*.f64 c a)) (sqrt.f64 d)))
(*.f64 (/.f64 (sqrt.f64 (*.f64 c a)) 1) (/.f64 (sqrt.f64 (*.f64 c a)) d))
(*.f64 (/.f64 (sqrt.f64 (*.f64 c a)) (pow.f64 (cbrt.f64 d) 2)) (/.f64 (sqrt.f64 (*.f64 c a)) (cbrt.f64 d)))
(pow.f64 (/.f64 a (/.f64 d c)) 1)
(pow.f64 (cbrt.f64 (/.f64 a (/.f64 d c))) 3)
(pow.f64 (pow.f64 (/.f64 a (/.f64 d c)) 3) 1/3)
(pow.f64 (sqrt.f64 (/.f64 a (/.f64 d c))) 2)
(pow.f64 (/.f64 d (*.f64 c a)) -1)
(sqrt.f64 (pow.f64 (/.f64 a (/.f64 d c)) 2))
(log.f64 (exp.f64 (/.f64 a (/.f64 d c))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 a (/.f64 d c)))))
(cbrt.f64 (pow.f64 (/.f64 a (/.f64 d c)) 3))
(expm1.f64 (log1p.f64 (/.f64 a (/.f64 d c))))
(exp.f64 (log.f64 (/.f64 a (/.f64 d c))))
(exp.f64 (*.f64 (log.f64 (/.f64 a (/.f64 d c))) 1))
(log1p.f64 (expm1.f64 (/.f64 a (/.f64 d c))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (+.f64 b (/.f64 a (/.f64 d c))) (hypot.f64 c d)))) 1)
(*.f64 1 (/.f64 (+.f64 b (/.f64 a (/.f64 d c))) (hypot.f64 c d)))
(*.f64 (+.f64 b (/.f64 a (/.f64 d c))) (/.f64 1 (hypot.f64 c d)))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 b (/.f64 a (/.f64 d c))) (hypot.f64 c d))) 2) (cbrt.f64 (/.f64 (+.f64 b (/.f64 a (/.f64 d c))) (hypot.f64 c d))))
(*.f64 (sqrt.f64 (/.f64 (+.f64 b (/.f64 a (/.f64 d c))) (hypot.f64 c d))) (sqrt.f64 (/.f64 (+.f64 b (/.f64 a (/.f64 d c))) (hypot.f64 c d))))
(*.f64 (pow.f64 (hypot.f64 c d) -1/2) (/.f64 (+.f64 b (/.f64 a (/.f64 d c))) (sqrt.f64 (hypot.f64 c d))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (hypot.f64 c d)) 2)) (/.f64 (+.f64 b (/.f64 a (/.f64 d c))) (cbrt.f64 (hypot.f64 c d))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 b (/.f64 a (/.f64 d c)))) 2) 1) (/.f64 (cbrt.f64 (+.f64 b (/.f64 a (/.f64 d c)))) (hypot.f64 c d)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 b (/.f64 a (/.f64 d c)))) 2) (pow.f64 (cbrt.f64 (hypot.f64 c d)) 2)) (cbrt.f64 (/.f64 (+.f64 b (/.f64 a (/.f64 d c))) (hypot.f64 c d))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 b (/.f64 a (/.f64 d c)))) 2) (sqrt.f64 (hypot.f64 c d))) (/.f64 (cbrt.f64 (+.f64 b (/.f64 a (/.f64 d c)))) (sqrt.f64 (hypot.f64 c d))))
(*.f64 (/.f64 (sqrt.f64 (+.f64 b (/.f64 a (/.f64 d c)))) 1) (/.f64 (sqrt.f64 (+.f64 b (/.f64 a (/.f64 d c)))) (hypot.f64 c d)))
(*.f64 (/.f64 (sqrt.f64 (+.f64 b (/.f64 a (/.f64 d c)))) (pow.f64 (cbrt.f64 (hypot.f64 c d)) 2)) (/.f64 (sqrt.f64 (+.f64 b (/.f64 a (/.f64 d c)))) (cbrt.f64 (hypot.f64 c d))))
(pow.f64 (/.f64 (+.f64 b (/.f64 a (/.f64 d c))) (hypot.f64 c d)) 1)
(pow.f64 (cbrt.f64 (/.f64 (+.f64 b (/.f64 a (/.f64 d c))) (hypot.f64 c d))) 3)
(pow.f64 (pow.f64 (/.f64 (+.f64 b (/.f64 a (/.f64 d c))) (hypot.f64 c d)) 3) 1/3)
(pow.f64 (sqrt.f64 (/.f64 (+.f64 b (/.f64 a (/.f64 d c))) (hypot.f64 c d))) 2)
(pow.f64 (/.f64 (hypot.f64 c d) (+.f64 b (/.f64 a (/.f64 d c)))) -1)
(sqrt.f64 (pow.f64 (/.f64 (+.f64 b (/.f64 a (/.f64 d c))) (hypot.f64 c d)) 2))
(log.f64 (exp.f64 (/.f64 (+.f64 b (/.f64 a (/.f64 d c))) (hypot.f64 c d))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (+.f64 b (/.f64 a (/.f64 d c))) (hypot.f64 c d)))))
(cbrt.f64 (pow.f64 (/.f64 (+.f64 b (/.f64 a (/.f64 d c))) (hypot.f64 c d)) 3))
(cbrt.f64 (*.f64 (pow.f64 (+.f64 b (/.f64 a (/.f64 d c))) 3) (pow.f64 (/.f64 1 (hypot.f64 c d)) 3)))
(cbrt.f64 (/.f64 (pow.f64 (+.f64 b (/.f64 a (/.f64 d c))) 3) (pow.f64 (hypot.f64 c d) 3)))
(expm1.f64 (log1p.f64 (/.f64 (+.f64 b (/.f64 a (/.f64 d c))) (hypot.f64 c d))))
(exp.f64 (log.f64 (/.f64 (+.f64 b (/.f64 a (/.f64 d c))) (hypot.f64 c d))))
(exp.f64 (*.f64 (log.f64 (/.f64 (+.f64 b (/.f64 a (/.f64 d c))) (hypot.f64 c d))) 1))
(log1p.f64 (expm1.f64 (/.f64 (+.f64 b (/.f64 a (/.f64 d c))) (hypot.f64 c d))))

simplify174.0ms (1.8%)

Algorithm
egg-herbie
Rules
1444×times-frac
1158×associate-*l*
944×associate-*r/
778×fma-def
370×sqr-pow
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
093622109
1262920819
Stop Event
node limit
Counts
659 → 570
Calls
Call 1
Inputs
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))))))
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 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))))))
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(*.f64 (*.f64 b d) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 c 2) (pow.f64 d 2)))))
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(log.f64 (exp.f64 (/.f64 1 (*.f64 (/.f64 d c) (/.f64 d a)))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (*.f64 (/.f64 d c) (/.f64 d a))))))
(cbrt.f64 (pow.f64 (*.f64 (/.f64 d c) (/.f64 d a)) -3))
(expm1.f64 (log1p.f64 (/.f64 1 (*.f64 (/.f64 d c) (/.f64 d a)))))
(exp.f64 (neg.f64 (log.f64 (*.f64 (/.f64 d c) (/.f64 d a)))))
(exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 d c) (/.f64 d a))) -1))
(exp.f64 (*.f64 (neg.f64 (log.f64 (*.f64 (/.f64 d c) (/.f64 d a)))) 1))
(log1p.f64 (expm1.f64 (/.f64 1 (*.f64 (/.f64 d c) (/.f64 d a)))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 a (/.f64 d c)))) 1)
(*.f64 1 (/.f64 a (/.f64 d c)))
(*.f64 (*.f64 c a) (/.f64 1 d))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 a (/.f64 d c))) 2) (cbrt.f64 (/.f64 a (/.f64 d c))))
(*.f64 (sqrt.f64 (/.f64 a (/.f64 d c))) (sqrt.f64 (/.f64 a (/.f64 d c))))
(*.f64 (/.f64 1 d) (/.f64 a (/.f64 1 c)))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (/.f64 d c)) 2)) (/.f64 a (cbrt.f64 (/.f64 d c))))
(*.f64 (/.f64 1 (sqrt.f64 (/.f64 d c))) (/.f64 a (sqrt.f64 (/.f64 d c))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 a) 2) 1) (/.f64 (cbrt.f64 a) (/.f64 d c)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 a) 2) d) (/.f64 (cbrt.f64 a) (/.f64 1 c)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 a) 2) (pow.f64 (cbrt.f64 (/.f64 d c)) 2)) (cbrt.f64 (/.f64 a (/.f64 d c))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 a) 2) (sqrt.f64 (/.f64 d c))) (/.f64 (cbrt.f64 a) (sqrt.f64 (/.f64 d c))))
(*.f64 (/.f64 (sqrt.f64 a) 1) (/.f64 (sqrt.f64 a) (/.f64 d c)))
(*.f64 (/.f64 (sqrt.f64 a) d) (/.f64 (sqrt.f64 a) (/.f64 1 c)))
(*.f64 (/.f64 (sqrt.f64 a) (pow.f64 (cbrt.f64 (/.f64 d c)) 2)) (/.f64 (sqrt.f64 a) (cbrt.f64 (/.f64 d c))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 d) 2)) (/.f64 (*.f64 c a) (cbrt.f64 d)))
(*.f64 (/.f64 1 (sqrt.f64 d)) (/.f64 (*.f64 c a) (sqrt.f64 d)))
(*.f64 (/.f64 c 1) (/.f64 a d))
(*.f64 (/.f64 c (pow.f64 (cbrt.f64 d) 2)) (/.f64 a (cbrt.f64 d)))
(*.f64 (/.f64 c (sqrt.f64 d)) (/.f64 a (sqrt.f64 d)))
(*.f64 (/.f64 a (sqrt.f64 d)) (/.f64 c (sqrt.f64 d)))
(*.f64 (/.f64 a 1) (/.f64 c d))
(*.f64 (/.f64 a (pow.f64 (cbrt.f64 d) 2)) (/.f64 c (cbrt.f64 d)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 c a)) 2) 1) (/.f64 (cbrt.f64 (*.f64 c a)) d))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 c a)) 2) (pow.f64 (cbrt.f64 d) 2)) (cbrt.f64 (/.f64 a (/.f64 d c))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 c a)) 2) (sqrt.f64 d)) (/.f64 (cbrt.f64 (*.f64 c a)) (sqrt.f64 d)))
(*.f64 (/.f64 (sqrt.f64 (*.f64 c a)) 1) (/.f64 (sqrt.f64 (*.f64 c a)) d))
(*.f64 (/.f64 (sqrt.f64 (*.f64 c a)) (pow.f64 (cbrt.f64 d) 2)) (/.f64 (sqrt.f64 (*.f64 c a)) (cbrt.f64 d)))
(pow.f64 (/.f64 a (/.f64 d c)) 1)
(pow.f64 (cbrt.f64 (/.f64 a (/.f64 d c))) 3)
(pow.f64 (pow.f64 (/.f64 a (/.f64 d c)) 3) 1/3)
(pow.f64 (sqrt.f64 (/.f64 a (/.f64 d c))) 2)
(pow.f64 (/.f64 d (*.f64 c a)) -1)
(sqrt.f64 (pow.f64 (/.f64 a (/.f64 d c)) 2))
(log.f64 (exp.f64 (/.f64 a (/.f64 d c))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 a (/.f64 d c)))))
(cbrt.f64 (pow.f64 (/.f64 a (/.f64 d c)) 3))
(expm1.f64 (log1p.f64 (/.f64 a (/.f64 d c))))
(exp.f64 (log.f64 (/.f64 a (/.f64 d c))))
(exp.f64 (*.f64 (log.f64 (/.f64 a (/.f64 d c))) 1))
(log1p.f64 (expm1.f64 (/.f64 a (/.f64 d c))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (+.f64 b (/.f64 a (/.f64 d c))) (hypot.f64 c d)))) 1)
(*.f64 1 (/.f64 (+.f64 b (/.f64 a (/.f64 d c))) (hypot.f64 c d)))
(*.f64 (+.f64 b (/.f64 a (/.f64 d c))) (/.f64 1 (hypot.f64 c d)))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 b (/.f64 a (/.f64 d c))) (hypot.f64 c d))) 2) (cbrt.f64 (/.f64 (+.f64 b (/.f64 a (/.f64 d c))) (hypot.f64 c d))))
(*.f64 (sqrt.f64 (/.f64 (+.f64 b (/.f64 a (/.f64 d c))) (hypot.f64 c d))) (sqrt.f64 (/.f64 (+.f64 b (/.f64 a (/.f64 d c))) (hypot.f64 c d))))
(*.f64 (pow.f64 (hypot.f64 c d) -1/2) (/.f64 (+.f64 b (/.f64 a (/.f64 d c))) (sqrt.f64 (hypot.f64 c d))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (hypot.f64 c d)) 2)) (/.f64 (+.f64 b (/.f64 a (/.f64 d c))) (cbrt.f64 (hypot.f64 c d))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 b (/.f64 a (/.f64 d c)))) 2) 1) (/.f64 (cbrt.f64 (+.f64 b (/.f64 a (/.f64 d c)))) (hypot.f64 c d)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 b (/.f64 a (/.f64 d c)))) 2) (pow.f64 (cbrt.f64 (hypot.f64 c d)) 2)) (cbrt.f64 (/.f64 (+.f64 b (/.f64 a (/.f64 d c))) (hypot.f64 c d))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 b (/.f64 a (/.f64 d c)))) 2) (sqrt.f64 (hypot.f64 c d))) (/.f64 (cbrt.f64 (+.f64 b (/.f64 a (/.f64 d c)))) (sqrt.f64 (hypot.f64 c d))))
(*.f64 (/.f64 (sqrt.f64 (+.f64 b (/.f64 a (/.f64 d c)))) 1) (/.f64 (sqrt.f64 (+.f64 b (/.f64 a (/.f64 d c)))) (hypot.f64 c d)))
(*.f64 (/.f64 (sqrt.f64 (+.f64 b (/.f64 a (/.f64 d c)))) (pow.f64 (cbrt.f64 (hypot.f64 c d)) 2)) (/.f64 (sqrt.f64 (+.f64 b (/.f64 a (/.f64 d c)))) (cbrt.f64 (hypot.f64 c d))))
(pow.f64 (/.f64 (+.f64 b (/.f64 a (/.f64 d c))) (hypot.f64 c d)) 1)
(pow.f64 (cbrt.f64 (/.f64 (+.f64 b (/.f64 a (/.f64 d c))) (hypot.f64 c d))) 3)
(pow.f64 (pow.f64 (/.f64 (+.f64 b (/.f64 a (/.f64 d c))) (hypot.f64 c d)) 3) 1/3)
(pow.f64 (sqrt.f64 (/.f64 (+.f64 b (/.f64 a (/.f64 d c))) (hypot.f64 c d))) 2)
(pow.f64 (/.f64 (hypot.f64 c d) (+.f64 b (/.f64 a (/.f64 d c)))) -1)
(sqrt.f64 (pow.f64 (/.f64 (+.f64 b (/.f64 a (/.f64 d c))) (hypot.f64 c d)) 2))
(log.f64 (exp.f64 (/.f64 (+.f64 b (/.f64 a (/.f64 d c))) (hypot.f64 c d))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (+.f64 b (/.f64 a (/.f64 d c))) (hypot.f64 c d)))))
(cbrt.f64 (pow.f64 (/.f64 (+.f64 b (/.f64 a (/.f64 d c))) (hypot.f64 c d)) 3))
(cbrt.f64 (*.f64 (pow.f64 (+.f64 b (/.f64 a (/.f64 d c))) 3) (pow.f64 (/.f64 1 (hypot.f64 c d)) 3)))
(cbrt.f64 (/.f64 (pow.f64 (+.f64 b (/.f64 a (/.f64 d c))) 3) (pow.f64 (hypot.f64 c d) 3)))
(expm1.f64 (log1p.f64 (/.f64 (+.f64 b (/.f64 a (/.f64 d c))) (hypot.f64 c d))))
(exp.f64 (log.f64 (/.f64 (+.f64 b (/.f64 a (/.f64 d c))) (hypot.f64 c d))))
(exp.f64 (*.f64 (log.f64 (/.f64 (+.f64 b (/.f64 a (/.f64 d c))) (hypot.f64 c d))) 1))
(log1p.f64 (expm1.f64 (/.f64 (+.f64 b (/.f64 a (/.f64 d c))) (hypot.f64 c d))))
Outputs
b
(+.f64 b (/.f64 (*.f64 a c) d))
(+.f64 b (*.f64 a (/.f64 c d)))
(fma.f64 c (/.f64 a d) b)
(+.f64 b (+.f64 (*.f64 -1/2 (/.f64 (*.f64 b (pow.f64 c 2)) (pow.f64 d 2))) (/.f64 (*.f64 a c) d)))
(+.f64 b (fma.f64 -1/2 (/.f64 b (/.f64 (*.f64 d d) (*.f64 c c))) (*.f64 a (/.f64 c d))))
(+.f64 (/.f64 (*.f64 -1/2 b) (*.f64 (/.f64 d c) (/.f64 d c))) (fma.f64 c (/.f64 a d) b))
(+.f64 b (+.f64 (*.f64 -1/2 (/.f64 (*.f64 a (pow.f64 c 3)) (pow.f64 d 3))) (+.f64 (*.f64 -1/2 (/.f64 (*.f64 b (pow.f64 c 2)) (pow.f64 d 2))) (/.f64 (*.f64 a c) d))))
(+.f64 b (fma.f64 -1/2 (/.f64 a (pow.f64 (/.f64 d c) 3)) (fma.f64 -1/2 (/.f64 b (/.f64 (*.f64 d d) (*.f64 c c))) (*.f64 a (/.f64 c d)))))
(+.f64 (*.f64 -1/2 (+.f64 (/.f64 a (pow.f64 (/.f64 d c) 3)) (*.f64 (/.f64 b d) (*.f64 c (/.f64 c d))))) (fma.f64 c (/.f64 a d) b))
a
(+.f64 a (/.f64 (*.f64 b d) c))
(+.f64 a (/.f64 b (/.f64 c d)))
(+.f64 a (+.f64 (*.f64 -1/2 (/.f64 (*.f64 a (pow.f64 d 2)) (pow.f64 c 2))) (/.f64 (*.f64 b d) c)))
(+.f64 a (fma.f64 -1/2 (/.f64 (*.f64 a (*.f64 d d)) (*.f64 c c)) (/.f64 b (/.f64 c d))))
(+.f64 a (fma.f64 -1/2 (*.f64 (/.f64 a c) (*.f64 d (/.f64 d c))) (/.f64 b (/.f64 c d))))
(+.f64 a (+.f64 (*.f64 -1/2 (/.f64 (*.f64 a (pow.f64 d 2)) (pow.f64 c 2))) (+.f64 (*.f64 -1/2 (/.f64 (*.f64 b (pow.f64 d 3)) (pow.f64 c 3))) (/.f64 (*.f64 b d) c))))
(+.f64 a (fma.f64 -1/2 (/.f64 (*.f64 a (*.f64 d d)) (*.f64 c c)) (fma.f64 -1/2 (/.f64 b (/.f64 (pow.f64 c 3) (pow.f64 d 3))) (/.f64 b (/.f64 c d)))))
(+.f64 a (fma.f64 -1/2 (*.f64 (/.f64 a c) (*.f64 d (/.f64 d c))) (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 b (/.f64 (neg.f64 d) c)) a)
(+.f64 (*.f64 -1 a) (+.f64 (*.f64 -1 (/.f64 (*.f64 b d) c)) (*.f64 1/2 (/.f64 (*.f64 a (pow.f64 d 2)) (pow.f64 c 2)))))
(fma.f64 -1 a (fma.f64 -1 (/.f64 b (/.f64 c d)) (*.f64 (/.f64 (*.f64 a (*.f64 d d)) (*.f64 c c)) 1/2)))
(-.f64 (-.f64 (/.f64 (*.f64 1/2 (*.f64 a (*.f64 d d))) (*.f64 c c)) (/.f64 b (/.f64 c d))) a)
(+.f64 (*.f64 -1 a) (+.f64 (*.f64 -1 (/.f64 (*.f64 b d) c)) (+.f64 (*.f64 1/2 (/.f64 (*.f64 a (pow.f64 d 2)) (pow.f64 c 2))) (*.f64 1/2 (/.f64 (*.f64 b (pow.f64 d 3)) (pow.f64 c 3))))))
(fma.f64 -1 a (fma.f64 -1 (/.f64 b (/.f64 c d)) (*.f64 1/2 (+.f64 (/.f64 (*.f64 a (*.f64 d d)) (*.f64 c c)) (/.f64 b (/.f64 (pow.f64 c 3) (pow.f64 d 3)))))))
(-.f64 (-.f64 (*.f64 1/2 (+.f64 (*.f64 (/.f64 a c) (*.f64 d (/.f64 d c))) (/.f64 b (/.f64 (pow.f64 c 3) (pow.f64 d 3))))) (/.f64 b (/.f64 c d))) 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 (*.f64 a (*.f64 d d)) (*.f64 c c)) (/.f64 b (/.f64 c d))))
(+.f64 a (fma.f64 -1/2 (*.f64 (/.f64 a c) (*.f64 d (/.f64 d c))) (/.f64 b (/.f64 c d))))
(+.f64 a (+.f64 (*.f64 -1/2 (/.f64 (*.f64 a (pow.f64 d 2)) (pow.f64 c 2))) (+.f64 (*.f64 -1/2 (/.f64 (*.f64 b (pow.f64 d 3)) (pow.f64 c 3))) (/.f64 (*.f64 b d) c))))
(+.f64 a (fma.f64 -1/2 (/.f64 (*.f64 a (*.f64 d d)) (*.f64 c c)) (fma.f64 -1/2 (/.f64 b (/.f64 (pow.f64 c 3) (pow.f64 d 3))) (/.f64 b (/.f64 c d)))))
(+.f64 a (fma.f64 -1/2 (*.f64 (/.f64 a c) (*.f64 d (/.f64 d c))) (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 c d)))
(fma.f64 c (/.f64 a d) b)
(+.f64 b (+.f64 (*.f64 -1/2 (/.f64 (*.f64 b (pow.f64 c 2)) (pow.f64 d 2))) (/.f64 (*.f64 a c) d)))
(+.f64 b (fma.f64 -1/2 (/.f64 b (/.f64 (*.f64 d d) (*.f64 c c))) (*.f64 a (/.f64 c d))))
(+.f64 (/.f64 (*.f64 -1/2 b) (*.f64 (/.f64 d c) (/.f64 d c))) (fma.f64 c (/.f64 a d) b))
(+.f64 b (+.f64 (*.f64 -1/2 (/.f64 (*.f64 a (pow.f64 c 3)) (pow.f64 d 3))) (+.f64 (*.f64 -1/2 (/.f64 (*.f64 b (pow.f64 c 2)) (pow.f64 d 2))) (/.f64 (*.f64 a c) d))))
(+.f64 b (fma.f64 -1/2 (/.f64 a (pow.f64 (/.f64 d c) 3)) (fma.f64 -1/2 (/.f64 b (/.f64 (*.f64 d d) (*.f64 c c))) (*.f64 a (/.f64 c d)))))
(+.f64 (*.f64 -1/2 (+.f64 (/.f64 a (pow.f64 (/.f64 d c) 3)) (*.f64 (/.f64 b d) (*.f64 c (/.f64 c d))))) (fma.f64 c (/.f64 a d) b))
(*.f64 -1 b)
(neg.f64 b)
(+.f64 (*.f64 -1 b) (*.f64 -1 (/.f64 (*.f64 a c) d)))
(*.f64 -1 (+.f64 b (*.f64 a (/.f64 c d))))
(neg.f64 (fma.f64 c (/.f64 a d) b))
(+.f64 (*.f64 -1 b) (+.f64 (*.f64 -1 (/.f64 (*.f64 a c) d)) (*.f64 1/2 (/.f64 (*.f64 b (pow.f64 c 2)) (pow.f64 d 2)))))
(fma.f64 -1 b (fma.f64 -1 (*.f64 a (/.f64 c d)) (*.f64 (/.f64 b (/.f64 (*.f64 d d) (*.f64 c c))) 1/2)))
(fma.f64 -1 (fma.f64 c (/.f64 a d) b) (*.f64 (*.f64 (/.f64 b d) (*.f64 c (/.f64 c d))) 1/2))
(+.f64 (*.f64 -1 b) (+.f64 (*.f64 -1 (/.f64 (*.f64 a c) d)) (+.f64 (*.f64 1/2 (/.f64 (*.f64 a (pow.f64 c 3)) (pow.f64 d 3))) (*.f64 1/2 (/.f64 (*.f64 b (pow.f64 c 2)) (pow.f64 d 2))))))
(fma.f64 -1 b (fma.f64 -1 (*.f64 a (/.f64 c d)) (*.f64 1/2 (+.f64 (/.f64 a (pow.f64 (/.f64 d c) 3)) (/.f64 b (/.f64 (*.f64 d d) (*.f64 c c)))))))
(fma.f64 -1 (fma.f64 c (/.f64 a d) b) (*.f64 1/2 (+.f64 (/.f64 a (pow.f64 (/.f64 d c) 3)) (*.f64 (/.f64 b d) (*.f64 c (/.f64 c d))))))
(*.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 (+.f64 (*.f64 c c) (*.f64 d d))))))
(*.f64 a (*.f64 c (sqrt.f64 (/.f64 1 (fma.f64 c c (*.f64 d d))))))
(+.f64 (*.f64 (*.f64 a c) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 c 2) (pow.f64 d 2))))) (*.f64 (*.f64 b d) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 c 2) (pow.f64 d 2))))))
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 (*.f64 c c) (*.f64 d d)))) (fma.f64 b d (*.f64 a c)))
(*.f64 (sqrt.f64 (/.f64 1 (fma.f64 c c (*.f64 d d)))) (fma.f64 b d (*.f64 a c)))
(+.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 (*.f64 c c) (*.f64 d d)))) (fma.f64 b d (*.f64 a c)))
(*.f64 (sqrt.f64 (/.f64 1 (fma.f64 c c (*.f64 d d)))) (fma.f64 b d (*.f64 a c)))
(+.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 (*.f64 c c) (*.f64 d d)))) (fma.f64 b d (*.f64 a c)))
(*.f64 (sqrt.f64 (/.f64 1 (fma.f64 c c (*.f64 d d)))) (fma.f64 b d (*.f64 a c)))
(*.f64 (*.f64 b d) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 c 2) (pow.f64 d 2)))))
(*.f64 b (*.f64 d (sqrt.f64 (/.f64 1 (+.f64 (*.f64 c c) (*.f64 d d))))))
(*.f64 b (*.f64 d (sqrt.f64 (/.f64 1 (fma.f64 c c (*.f64 d d))))))
(+.f64 (*.f64 (*.f64 a c) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 c 2) (pow.f64 d 2))))) (*.f64 (*.f64 b d) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 c 2) (pow.f64 d 2))))))
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 (*.f64 c c) (*.f64 d d)))) (fma.f64 b d (*.f64 a c)))
(*.f64 (sqrt.f64 (/.f64 1 (fma.f64 c c (*.f64 d d)))) (fma.f64 b d (*.f64 a c)))
(+.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 (*.f64 c c) (*.f64 d d)))) (fma.f64 b d (*.f64 a c)))
(*.f64 (sqrt.f64 (/.f64 1 (fma.f64 c c (*.f64 d d)))) (fma.f64 b d (*.f64 a c)))
(+.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 (*.f64 c c) (*.f64 d d)))) (fma.f64 b d (*.f64 a c)))
(*.f64 (sqrt.f64 (/.f64 1 (fma.f64 c c (*.f64 d d)))) (fma.f64 b d (*.f64 a c)))
(*.f64 (*.f64 b d) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 c 2) (pow.f64 d 2)))))
(*.f64 b (*.f64 d (sqrt.f64 (/.f64 1 (+.f64 (*.f64 c c) (*.f64 d d))))))
(*.f64 b (*.f64 d (sqrt.f64 (/.f64 1 (fma.f64 c c (*.f64 d d))))))
(+.f64 (*.f64 (*.f64 a c) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 c 2) (pow.f64 d 2))))) (*.f64 (*.f64 b d) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 c 2) (pow.f64 d 2))))))
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 (*.f64 c c) (*.f64 d d)))) (fma.f64 b d (*.f64 a c)))
(*.f64 (sqrt.f64 (/.f64 1 (fma.f64 c c (*.f64 d d)))) (fma.f64 b d (*.f64 a c)))
(+.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))))))
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(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 d) 2)) (/.f64 c (/.f64 (cbrt.f64 d) a)))
(*.f64 (/.f64 c (pow.f64 (cbrt.f64 d) 2)) (/.f64 a (cbrt.f64 d)))
(*.f64 (/.f64 1 (sqrt.f64 d)) (/.f64 (*.f64 c a) (sqrt.f64 d)))
(*.f64 (/.f64 1 (sqrt.f64 d)) (/.f64 (*.f64 a c) (sqrt.f64 d)))
(*.f64 (/.f64 c (sqrt.f64 d)) (/.f64 a (sqrt.f64 d)))
(*.f64 (/.f64 c 1) (/.f64 a d))
(*.f64 a (/.f64 c d))
(/.f64 (*.f64 a c) d)
(*.f64 (/.f64 c (pow.f64 (cbrt.f64 d) 2)) (/.f64 a (cbrt.f64 d)))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 d) 2)) (/.f64 c (/.f64 (cbrt.f64 d) a)))
(*.f64 (/.f64 c (sqrt.f64 d)) (/.f64 a (sqrt.f64 d)))
(*.f64 (/.f64 1 (sqrt.f64 d)) (/.f64 (*.f64 a c) (sqrt.f64 d)))
(*.f64 (/.f64 a (sqrt.f64 d)) (/.f64 c (sqrt.f64 d)))
(*.f64 (/.f64 1 (sqrt.f64 d)) (/.f64 (*.f64 a c) (sqrt.f64 d)))
(*.f64 (/.f64 c (sqrt.f64 d)) (/.f64 a (sqrt.f64 d)))
(*.f64 (/.f64 a 1) (/.f64 c d))
(*.f64 a (/.f64 c d))
(/.f64 (*.f64 a c) d)
(*.f64 (/.f64 a (pow.f64 (cbrt.f64 d) 2)) (/.f64 c (cbrt.f64 d)))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 d) 2)) (/.f64 c (/.f64 (cbrt.f64 d) a)))
(*.f64 (/.f64 c (pow.f64 (cbrt.f64 d) 2)) (/.f64 a (cbrt.f64 d)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 c a)) 2) 1) (/.f64 (cbrt.f64 (*.f64 c a)) d))
(*.f64 a (/.f64 c d))
(/.f64 (*.f64 a c) d)
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 c a)) 2) (pow.f64 (cbrt.f64 d) 2)) (cbrt.f64 (/.f64 a (/.f64 d c))))
(*.f64 (cbrt.f64 (*.f64 a (/.f64 c d))) (/.f64 (pow.f64 (cbrt.f64 (*.f64 a c)) 2) (pow.f64 (cbrt.f64 d) 2)))
(*.f64 (cbrt.f64 (/.f64 (*.f64 a c) d)) (/.f64 (pow.f64 (cbrt.f64 (*.f64 a c)) 2) (pow.f64 (cbrt.f64 d) 2)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 c a)) 2) (sqrt.f64 d)) (/.f64 (cbrt.f64 (*.f64 c a)) (sqrt.f64 d)))
(*.f64 (/.f64 1 (sqrt.f64 d)) (/.f64 (*.f64 a c) (sqrt.f64 d)))
(*.f64 (/.f64 c (sqrt.f64 d)) (/.f64 a (sqrt.f64 d)))
(*.f64 (/.f64 (sqrt.f64 (*.f64 c a)) 1) (/.f64 (sqrt.f64 (*.f64 c a)) d))
(*.f64 a (/.f64 c d))
(/.f64 (*.f64 a c) d)
(*.f64 (/.f64 (sqrt.f64 (*.f64 c a)) (pow.f64 (cbrt.f64 d) 2)) (/.f64 (sqrt.f64 (*.f64 c a)) (cbrt.f64 d)))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 d) 2)) (/.f64 c (/.f64 (cbrt.f64 d) a)))
(*.f64 (/.f64 c (pow.f64 (cbrt.f64 d) 2)) (/.f64 a (cbrt.f64 d)))
(pow.f64 (/.f64 a (/.f64 d c)) 1)
(*.f64 a (/.f64 c d))
(/.f64 (*.f64 a c) d)
(pow.f64 (cbrt.f64 (/.f64 a (/.f64 d c))) 3)
(*.f64 a (/.f64 c d))
(/.f64 (*.f64 a c) d)
(pow.f64 (pow.f64 (/.f64 a (/.f64 d c)) 3) 1/3)
(*.f64 a (/.f64 c d))
(/.f64 (*.f64 a c) d)
(pow.f64 (sqrt.f64 (/.f64 a (/.f64 d c))) 2)
(*.f64 a (/.f64 c d))
(/.f64 (*.f64 a c) d)
(pow.f64 (/.f64 d (*.f64 c a)) -1)
(/.f64 1 (/.f64 d (*.f64 a c)))
(sqrt.f64 (pow.f64 (/.f64 a (/.f64 d c)) 2))
(sqrt.f64 (pow.f64 (*.f64 a (/.f64 c d)) 2))
(fabs.f64 (/.f64 (*.f64 a c) d))
(log.f64 (exp.f64 (/.f64 a (/.f64 d c))))
(*.f64 a (/.f64 c d))
(/.f64 (*.f64 a c) d)
(log.f64 (+.f64 1 (expm1.f64 (/.f64 a (/.f64 d c)))))
(*.f64 a (/.f64 c d))
(/.f64 (*.f64 a c) d)
(cbrt.f64 (pow.f64 (/.f64 a (/.f64 d c)) 3))
(*.f64 a (/.f64 c d))
(/.f64 (*.f64 a c) d)
(expm1.f64 (log1p.f64 (/.f64 a (/.f64 d c))))
(*.f64 a (/.f64 c d))
(/.f64 (*.f64 a c) d)
(exp.f64 (log.f64 (/.f64 a (/.f64 d c))))
(*.f64 a (/.f64 c d))
(/.f64 (*.f64 a c) d)
(exp.f64 (*.f64 (log.f64 (/.f64 a (/.f64 d c))) 1))
(*.f64 a (/.f64 c d))
(/.f64 (*.f64 a c) d)
(log1p.f64 (expm1.f64 (/.f64 a (/.f64 d c))))
(*.f64 a (/.f64 c d))
(/.f64 (*.f64 a c) d)
(-.f64 (exp.f64 (log1p.f64 (/.f64 (+.f64 b (/.f64 a (/.f64 d c))) (hypot.f64 c d)))) 1)
(/.f64 (+.f64 b (*.f64 a (/.f64 c d))) (hypot.f64 c d))
(/.f64 (fma.f64 c (/.f64 a d) b) (hypot.f64 c d))
(*.f64 1 (/.f64 (+.f64 b (/.f64 a (/.f64 d c))) (hypot.f64 c d)))
(/.f64 (+.f64 b (*.f64 a (/.f64 c d))) (hypot.f64 c d))
(/.f64 (fma.f64 c (/.f64 a d) b) (hypot.f64 c d))
(*.f64 (+.f64 b (/.f64 a (/.f64 d c))) (/.f64 1 (hypot.f64 c d)))
(/.f64 (+.f64 b (*.f64 a (/.f64 c d))) (hypot.f64 c d))
(/.f64 (fma.f64 c (/.f64 a d) b) (hypot.f64 c d))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 b (/.f64 a (/.f64 d c))) (hypot.f64 c d))) 2) (cbrt.f64 (/.f64 (+.f64 b (/.f64 a (/.f64 d c))) (hypot.f64 c d))))
(/.f64 (+.f64 b (*.f64 a (/.f64 c d))) (hypot.f64 c d))
(/.f64 (fma.f64 c (/.f64 a d) b) (hypot.f64 c d))
(*.f64 (sqrt.f64 (/.f64 (+.f64 b (/.f64 a (/.f64 d c))) (hypot.f64 c d))) (sqrt.f64 (/.f64 (+.f64 b (/.f64 a (/.f64 d c))) (hypot.f64 c d))))
(/.f64 (+.f64 b (*.f64 a (/.f64 c d))) (hypot.f64 c d))
(/.f64 (fma.f64 c (/.f64 a d) b) (hypot.f64 c d))
(*.f64 (pow.f64 (hypot.f64 c d) -1/2) (/.f64 (+.f64 b (/.f64 a (/.f64 d c))) (sqrt.f64 (hypot.f64 c d))))
(*.f64 (pow.f64 (hypot.f64 c d) -1/2) (/.f64 (+.f64 b (*.f64 a (/.f64 c d))) (sqrt.f64 (hypot.f64 c d))))
(*.f64 (pow.f64 (hypot.f64 c d) -1/2) (/.f64 (fma.f64 c (/.f64 a d) b) (sqrt.f64 (hypot.f64 c d))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (hypot.f64 c d)) 2)) (/.f64 (+.f64 b (/.f64 a (/.f64 d c))) (cbrt.f64 (hypot.f64 c d))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (hypot.f64 c d)) 2)) (/.f64 (+.f64 b (*.f64 a (/.f64 c d))) (cbrt.f64 (hypot.f64 c d))))
(/.f64 (/.f64 (fma.f64 c (/.f64 a d) b) (cbrt.f64 (hypot.f64 c d))) (pow.f64 (cbrt.f64 (hypot.f64 c d)) 2))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 b (/.f64 a (/.f64 d c)))) 2) 1) (/.f64 (cbrt.f64 (+.f64 b (/.f64 a (/.f64 d c)))) (hypot.f64 c d)))
(/.f64 (+.f64 b (*.f64 a (/.f64 c d))) (hypot.f64 c d))
(/.f64 (fma.f64 c (/.f64 a d) b) (hypot.f64 c d))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 b (/.f64 a (/.f64 d c)))) 2) (pow.f64 (cbrt.f64 (hypot.f64 c d)) 2)) (cbrt.f64 (/.f64 (+.f64 b (/.f64 a (/.f64 d c))) (hypot.f64 c d))))
(*.f64 (cbrt.f64 (/.f64 (+.f64 b (*.f64 a (/.f64 c d))) (hypot.f64 c d))) (/.f64 (pow.f64 (cbrt.f64 (+.f64 b (*.f64 a (/.f64 c d)))) 2) (pow.f64 (cbrt.f64 (hypot.f64 c d)) 2)))
(*.f64 (cbrt.f64 (/.f64 (fma.f64 c (/.f64 a d) b) (hypot.f64 c d))) (/.f64 (pow.f64 (cbrt.f64 (fma.f64 c (/.f64 a d) b)) 2) (pow.f64 (cbrt.f64 (hypot.f64 c d)) 2)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 b (/.f64 a (/.f64 d c)))) 2) (sqrt.f64 (hypot.f64 c d))) (/.f64 (cbrt.f64 (+.f64 b (/.f64 a (/.f64 d c)))) (sqrt.f64 (hypot.f64 c d))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 b (*.f64 a (/.f64 c d)))) 2) (sqrt.f64 (hypot.f64 c d))) (/.f64 (cbrt.f64 (+.f64 b (*.f64 a (/.f64 c d)))) (sqrt.f64 (hypot.f64 c d))))
(/.f64 (/.f64 (fma.f64 c (/.f64 a d) b) (sqrt.f64 (hypot.f64 c d))) (sqrt.f64 (hypot.f64 c d)))
(*.f64 (/.f64 (sqrt.f64 (+.f64 b (/.f64 a (/.f64 d c)))) 1) (/.f64 (sqrt.f64 (+.f64 b (/.f64 a (/.f64 d c)))) (hypot.f64 c d)))
(/.f64 (+.f64 b (*.f64 a (/.f64 c d))) (hypot.f64 c d))
(/.f64 (fma.f64 c (/.f64 a d) b) (hypot.f64 c d))
(*.f64 (/.f64 (sqrt.f64 (+.f64 b (/.f64 a (/.f64 d c)))) (pow.f64 (cbrt.f64 (hypot.f64 c d)) 2)) (/.f64 (sqrt.f64 (+.f64 b (/.f64 a (/.f64 d c)))) (cbrt.f64 (hypot.f64 c d))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (hypot.f64 c d)) 2)) (/.f64 (+.f64 b (*.f64 a (/.f64 c d))) (cbrt.f64 (hypot.f64 c d))))
(/.f64 (/.f64 (fma.f64 c (/.f64 a d) b) (cbrt.f64 (hypot.f64 c d))) (pow.f64 (cbrt.f64 (hypot.f64 c d)) 2))
(pow.f64 (/.f64 (+.f64 b (/.f64 a (/.f64 d c))) (hypot.f64 c d)) 1)
(/.f64 (+.f64 b (*.f64 a (/.f64 c d))) (hypot.f64 c d))
(/.f64 (fma.f64 c (/.f64 a d) b) (hypot.f64 c d))
(pow.f64 (cbrt.f64 (/.f64 (+.f64 b (/.f64 a (/.f64 d c))) (hypot.f64 c d))) 3)
(/.f64 (+.f64 b (*.f64 a (/.f64 c d))) (hypot.f64 c d))
(/.f64 (fma.f64 c (/.f64 a d) b) (hypot.f64 c d))
(pow.f64 (pow.f64 (/.f64 (+.f64 b (/.f64 a (/.f64 d c))) (hypot.f64 c d)) 3) 1/3)
(/.f64 (+.f64 b (*.f64 a (/.f64 c d))) (hypot.f64 c d))
(/.f64 (fma.f64 c (/.f64 a d) b) (hypot.f64 c d))
(pow.f64 (sqrt.f64 (/.f64 (+.f64 b (/.f64 a (/.f64 d c))) (hypot.f64 c d))) 2)
(/.f64 (+.f64 b (*.f64 a (/.f64 c d))) (hypot.f64 c d))
(/.f64 (fma.f64 c (/.f64 a d) b) (hypot.f64 c d))
(pow.f64 (/.f64 (hypot.f64 c d) (+.f64 b (/.f64 a (/.f64 d c)))) -1)
(/.f64 1 (/.f64 (hypot.f64 c d) (+.f64 b (*.f64 a (/.f64 c d)))))
(/.f64 1 (/.f64 (hypot.f64 c d) (fma.f64 c (/.f64 a d) b)))
(sqrt.f64 (pow.f64 (/.f64 (+.f64 b (/.f64 a (/.f64 d c))) (hypot.f64 c d)) 2))
(sqrt.f64 (pow.f64 (/.f64 (+.f64 b (*.f64 a (/.f64 c d))) (hypot.f64 c d)) 2))
(fabs.f64 (/.f64 (fma.f64 c (/.f64 a d) b) (hypot.f64 c d)))
(log.f64 (exp.f64 (/.f64 (+.f64 b (/.f64 a (/.f64 d c))) (hypot.f64 c d))))
(/.f64 (+.f64 b (*.f64 a (/.f64 c d))) (hypot.f64 c d))
(/.f64 (fma.f64 c (/.f64 a d) b) (hypot.f64 c d))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (+.f64 b (/.f64 a (/.f64 d c))) (hypot.f64 c d)))))
(/.f64 (+.f64 b (*.f64 a (/.f64 c d))) (hypot.f64 c d))
(/.f64 (fma.f64 c (/.f64 a d) b) (hypot.f64 c d))
(cbrt.f64 (pow.f64 (/.f64 (+.f64 b (/.f64 a (/.f64 d c))) (hypot.f64 c d)) 3))
(/.f64 (+.f64 b (*.f64 a (/.f64 c d))) (hypot.f64 c d))
(/.f64 (fma.f64 c (/.f64 a d) b) (hypot.f64 c d))
(cbrt.f64 (*.f64 (pow.f64 (+.f64 b (/.f64 a (/.f64 d c))) 3) (pow.f64 (/.f64 1 (hypot.f64 c d)) 3)))
(cbrt.f64 (*.f64 (/.f64 1 (pow.f64 (hypot.f64 c d) 3)) (pow.f64 (+.f64 b (*.f64 a (/.f64 c d))) 3)))
(cbrt.f64 (*.f64 (/.f64 1 (pow.f64 (hypot.f64 c d) 3)) (pow.f64 (fma.f64 c (/.f64 a d) b) 3)))
(cbrt.f64 (/.f64 (pow.f64 (+.f64 b (/.f64 a (/.f64 d c))) 3) (pow.f64 (hypot.f64 c d) 3)))
(/.f64 (+.f64 b (*.f64 a (/.f64 c d))) (hypot.f64 c d))
(/.f64 (fma.f64 c (/.f64 a d) b) (hypot.f64 c d))
(expm1.f64 (log1p.f64 (/.f64 (+.f64 b (/.f64 a (/.f64 d c))) (hypot.f64 c d))))
(/.f64 (+.f64 b (*.f64 a (/.f64 c d))) (hypot.f64 c d))
(/.f64 (fma.f64 c (/.f64 a d) b) (hypot.f64 c d))
(exp.f64 (log.f64 (/.f64 (+.f64 b (/.f64 a (/.f64 d c))) (hypot.f64 c d))))
(/.f64 (+.f64 b (*.f64 a (/.f64 c d))) (hypot.f64 c d))
(/.f64 (fma.f64 c (/.f64 a d) b) (hypot.f64 c d))
(exp.f64 (*.f64 (log.f64 (/.f64 (+.f64 b (/.f64 a (/.f64 d c))) (hypot.f64 c d))) 1))
(/.f64 (+.f64 b (*.f64 a (/.f64 c d))) (hypot.f64 c d))
(/.f64 (fma.f64 c (/.f64 a d) b) (hypot.f64 c d))
(log1p.f64 (expm1.f64 (/.f64 (+.f64 b (/.f64 a (/.f64 d c))) (hypot.f64 c d))))
(/.f64 (+.f64 b (*.f64 a (/.f64 c d))) (hypot.f64 c d))
(/.f64 (fma.f64 c (/.f64 a d) b) (hypot.f64 c d))

eval173.0ms (1.8%)

Compiler

Compiled 13645 to 4940 computations (63.8% saved)

prune156.0ms (1.6%)

Pruning

34 alts after pruning (27 fresh and 7 done)

PrunedKeptTotal
New63211643
Fresh91625
Picked235
Done044
Total64334677
Accuracy
100.0%
Counts
677 → 34
Alt Table
Click to see full alt table
StatusAccuracyProgram
73.1%
(pow.f64 (cbrt.f64 (/.f64 (/.f64 (fma.f64 c a (*.f64 d b)) (hypot.f64 c d)) (hypot.f64 c d))) 3)
33.5%
(/.f64 (-.f64 (*.f64 b (/.f64 (neg.f64 d) c)) a) (hypot.f64 c d))
29.6%
(/.f64 (+.f64 (*.f64 -1/2 (+.f64 (/.f64 a (pow.f64 (/.f64 d c) 3)) (*.f64 (/.f64 b d) (*.f64 c (/.f64 c d))))) (fma.f64 c (/.f64 a d) b)) (hypot.f64 c d))
30.5%
(/.f64 (+.f64 b (/.f64 (*.f64 a c) d)) (hypot.f64 c d))
26.3%
(/.f64 (+.f64 a (/.f64 (*.f64 b d) c)) (hypot.f64 c d))
45.2%
(/.f64 (*.f64 (/.f64 1 (hypot.f64 c d)) (*.f64 b d)) (hypot.f64 c d))
46.5%
(/.f64 (*.f64 (/.f64 1 (hypot.f64 c d)) (*.f64 a c)) (hypot.f64 c d))
38.9%
(/.f64 (*.f64 b d) (+.f64 (*.f64 c c) (*.f64 d d)))
10.9%
(/.f64 (neg.f64 b) d)
8.9%
(/.f64 (neg.f64 b) c)
34.5%
(/.f64 (neg.f64 a) (hypot.f64 c d))
11.0%
(/.f64 (neg.f64 a) d)
27.8%
(/.f64 b (hypot.f64 c d))
43.0%
(/.f64 b d)
9.3%
(/.f64 b c)
41.5%
(/.f64 a (/.f64 (+.f64 (*.f64 c c) (*.f64 d d)) c))
8.6%
(/.f64 a d)
42.8%
(/.f64 a c)
42.1%
(/.f64 1 (/.f64 d b))
46.7%
(+.f64 (/.f64 b d) (/.f64 (*.f64 a c) (*.f64 d d)))
52.7%
(+.f64 (/.f64 b d) (/.f64 1 (*.f64 (/.f64 d c) (/.f64 d a))))
52.7%
(+.f64 (/.f64 b d) (*.f64 (/.f64 c d) (/.f64 a d)))
51.6%
(+.f64 (/.f64 a c) (/.f64 (/.f64 b (/.f64 c d)) c))
51.8%
(+.f64 (/.f64 a c) (/.f64 (*.f64 b (/.f64 d c)) c))
51.8%
(+.f64 (/.f64 a c) (*.f64 (/.f64 d c) (/.f64 (/.f64 1 c) (/.f64 1 b))))
56.5%
(*.f64 (/.f64 d (hypot.f64 c d)) (/.f64 b (hypot.f64 c d)))
21.7%
(*.f64 (/.f64 b c) (/.f64 d c))
45.2%
(*.f64 (/.f64 1 (hypot.f64 c d)) (/.f64 (*.f64 b d) (hypot.f64 c d)))
31.7%
(*.f64 (/.f64 1 (hypot.f64 c d)) (-.f64 (-.f64 (/.f64 (*.f64 1/2 a) (*.f64 (/.f64 c d) (/.f64 c d))) (*.f64 b (/.f64 d c))) a))
27.7%
(*.f64 (/.f64 1 (hypot.f64 c d)) b)
19.8%
(*.f64 d (/.f64 (/.f64 b c) c))
20.9%
(*.f64 c (/.f64 (/.f64 a d) d))
42.9%
(*.f64 b (/.f64 1 d))
20.4%
(*.f64 a (/.f64 (/.f64 c d) d))
Compiler

Compiled 1257 to 526 computations (58.2% saved)

regimes820.0ms (8.4%)

Counts
67 → 3
Calls
Call 1
Inputs
(/.f64 a c)
(/.f64 a d)
(/.f64 b c)
(/.f64 b d)
(/.f64 (neg.f64 a) d)
(/.f64 (neg.f64 b) c)
(/.f64 (neg.f64 b) d)
(*.f64 b (/.f64 1 d))
(/.f64 1 (/.f64 d b))
(*.f64 a (/.f64 (/.f64 c d) d))
(*.f64 c (/.f64 a (*.f64 d d)))
(*.f64 c (/.f64 (/.f64 a d) d))
(*.f64 d (/.f64 (/.f64 b c) c))
(*.f64 (/.f64 b c) (/.f64 d c))
(+.f64 (/.f64 b c) (/.f64 a d))
(/.f64 (*.f64 b d) (*.f64 c c))
(/.f64 (*.f64 b d) (*.f64 d d))
(-.f64 (/.f64 (neg.f64 a) d) (/.f64 b c))
(+.f64 (/.f64 a c) (*.f64 (/.f64 d c) (/.f64 b c)))
(+.f64 (/.f64 a c) (/.f64 (*.f64 b d) (*.f64 c c)))
(+.f64 (/.f64 a c) (/.f64 (*.f64 b (/.f64 d c)) c))
(+.f64 (/.f64 a c) (/.f64 (/.f64 b (/.f64 c d)) c))
(+.f64 (/.f64 b d) (*.f64 c (/.f64 a (*.f64 d d))))
(+.f64 (/.f64 b d) (*.f64 (/.f64 c d) (/.f64 a d)))
(+.f64 (/.f64 b d) (/.f64 a (*.f64 d (/.f64 d c))))
(+.f64 (/.f64 b d) (/.f64 a (/.f64 (*.f64 d d) c)))
(+.f64 (/.f64 b d) (/.f64 (*.f64 a c) (*.f64 d d)))
(/.f64 a (/.f64 (+.f64 (*.f64 c c) (*.f64 d d)) c))
(/.f64 (*.f64 b d) (+.f64 (*.f64 c c) (*.f64 d d)))
(/.f64 (*.f64 c a) (+.f64 (*.f64 c c) (*.f64 d d)))
(/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) (*.f64 d d))
(+.f64 (/.f64 a c) (*.f64 (/.f64 1 c) (/.f64 (*.f64 b d) c)))
(+.f64 (/.f64 a c) (/.f64 1 (*.f64 (/.f64 c d) (/.f64 c b))))
(+.f64 (/.f64 b d) (*.f64 (/.f64 a 1) (/.f64 c (*.f64 d d))))
(+.f64 (/.f64 b d) (/.f64 1 (*.f64 (/.f64 d c) (/.f64 d a))))
(+.f64 (/.f64 a c) (*.f64 (/.f64 d c) (/.f64 (/.f64 1 c) (/.f64 1 b))))
(/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) (+.f64 (*.f64 c c) (*.f64 d d)))
(/.f64 (+.f64 (/.f64 d b) (*.f64 (*.f64 (/.f64 d c) (/.f64 d a)) 1)) (*.f64 (*.f64 (/.f64 d c) (/.f64 d a)) (/.f64 d b)))
(/.f64 b (hypot.f64 c d))
(/.f64 (neg.f64 a) (hypot.f64 c d))
(*.f64 (/.f64 1 (hypot.f64 c d)) b)
(*.f64 (/.f64 1 (hypot.f64 c d)) (neg.f64 a))
(+.f64 (/.f64 b d) (/.f64 (*.f64 a c) (pow.f64 d 2)))
(/.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 (*.f64 b (/.f64 (neg.f64 d) c)) a) (hypot.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 (*.f64 a c) d)))
(*.f64 (/.f64 1 (hypot.f64 c d)) (-.f64 (neg.f64 a) (*.f64 b (/.f64 d c))))
(*.f64 (/.f64 1 (hypot.f64 c d)) (-.f64 (-.f64 (/.f64 (*.f64 1/2 a) (*.f64 (/.f64 c d) (/.f64 c d))) (*.f64 b (/.f64 d c))) a))
(*.f64 (/.f64 d (hypot.f64 c d)) (/.f64 b (hypot.f64 c d)))
(*.f64 (/.f64 1 (hypot.f64 c d)) (/.f64 (*.f64 b d) (hypot.f64 c d)))
(/.f64 (*.f64 (/.f64 1 (hypot.f64 c d)) (*.f64 a c)) (hypot.f64 c d))
(/.f64 (*.f64 (/.f64 1 (hypot.f64 c d)) (*.f64 b d)) (hypot.f64 c d))
(/.f64 (fma.f64 a c (*.f64 b d)) (fma.f64 c c (*.f64 d d)))
(*.f64 (/.f64 1 d) (/.f64 (fma.f64 a c (*.f64 b d)) (hypot.f64 c d)))
(*.f64 (/.f64 1 (hypot.f64 c d)) (/.f64 (+.f64 (*.f64 b d) (*.f64 a c)) (hypot.f64 c d)))
(/.f64 (*.f64 (/.f64 1 (hypot.f64 c d)) (+.f64 (*.f64 b d) (*.f64 a c))) (hypot.f64 c d))
(/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) (/.f64 (-.f64 (pow.f64 d 4) (pow.f64 c 4)) (-.f64 (*.f64 d d) (*.f64 c c))))
(*.f64 (/.f64 1 (hypot.f64 c d)) (/.f64 (fma.f64 a c (*.f64 b d)) (hypot.f64 c d)))
(/.f64 (*.f64 (/.f64 1 (hypot.f64 c d)) (fma.f64 a c (*.f64 b d))) (hypot.f64 c d))
(/.f64 (+.f64 (*.f64 -1/2 (+.f64 (/.f64 a (pow.f64 (/.f64 d c) 3)) (*.f64 (/.f64 b d) (*.f64 c (/.f64 c d))))) (fma.f64 c (/.f64 a d) b)) (hypot.f64 c d))
(/.f64 (+.f64 b (fma.f64 -1/2 (/.f64 a (pow.f64 (/.f64 d c) 3)) (fma.f64 -1/2 (/.f64 b (*.f64 (/.f64 d c) (/.f64 d c))) (/.f64 a (/.f64 d c))))) (hypot.f64 c d))
(*.f64 (pow.f64 (sqrt.f64 (hypot.f64 c d)) -2) (/.f64 (fma.f64 a c (*.f64 b d)) (hypot.f64 c d)))
(pow.f64 (cbrt.f64 (/.f64 (/.f64 (fma.f64 a c (*.f64 d b)) (hypot.f64 c d)) (hypot.f64 c d))) 3)
(pow.f64 (cbrt.f64 (/.f64 (/.f64 (fma.f64 c a (*.f64 d b)) (hypot.f64 c d)) (hypot.f64 c d))) 3)
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 a c (*.f64 b d))) 2) (hypot.f64 c d)) (/.f64 (cbrt.f64 (fma.f64 a c (*.f64 b d))) (hypot.f64 c d)))
Outputs
(/.f64 (*.f64 (/.f64 1 (hypot.f64 c d)) (+.f64 (*.f64 b d) (*.f64 a c))) (hypot.f64 c d))
(+.f64 (/.f64 b d) (/.f64 a (*.f64 d (/.f64 d c))))
(+.f64 (/.f64 a c) (/.f64 1 (*.f64 (/.f64 c d) (/.f64 c b))))
Calls

5 calls:

244.0ms
a
213.0ms
c
173.0ms
d
119.0ms
b
50.0ms
(/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) (+.f64 (*.f64 c c) (*.f64 d d)))
Results
AccuracySegmentsBranch
82.7%7a
82.6%3b
89.8%7c
83.3%5d
88.3%3(/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) (+.f64 (*.f64 c c) (*.f64 d d)))
Compiler

Compiled 830 to 259 computations (68.8% saved)

regimes86.0ms (0.9%)

Counts
57 → 3
Calls
Call 1
Inputs
(/.f64 a c)
(/.f64 a d)
(/.f64 b c)
(/.f64 b d)
(/.f64 (neg.f64 a) d)
(/.f64 (neg.f64 b) c)
(/.f64 (neg.f64 b) d)
(*.f64 b (/.f64 1 d))
(/.f64 1 (/.f64 d b))
(*.f64 a (/.f64 (/.f64 c d) d))
(*.f64 c (/.f64 a (*.f64 d d)))
(*.f64 c (/.f64 (/.f64 a d) d))
(*.f64 d (/.f64 (/.f64 b c) c))
(*.f64 (/.f64 b c) (/.f64 d c))
(+.f64 (/.f64 b c) (/.f64 a d))
(/.f64 (*.f64 b d) (*.f64 c c))
(/.f64 (*.f64 b d) (*.f64 d d))
(-.f64 (/.f64 (neg.f64 a) d) (/.f64 b c))
(+.f64 (/.f64 a c) (*.f64 (/.f64 d c) (/.f64 b c)))
(+.f64 (/.f64 a c) (/.f64 (*.f64 b d) (*.f64 c c)))
(+.f64 (/.f64 a c) (/.f64 (*.f64 b (/.f64 d c)) c))
(+.f64 (/.f64 a c) (/.f64 (/.f64 b (/.f64 c d)) c))
(+.f64 (/.f64 b d) (*.f64 c (/.f64 a (*.f64 d d))))
(+.f64 (/.f64 b d) (*.f64 (/.f64 c d) (/.f64 a d)))
(+.f64 (/.f64 b d) (/.f64 a (*.f64 d (/.f64 d c))))
(+.f64 (/.f64 b d) (/.f64 a (/.f64 (*.f64 d d) c)))
(+.f64 (/.f64 b d) (/.f64 (*.f64 a c) (*.f64 d d)))
(/.f64 a (/.f64 (+.f64 (*.f64 c c) (*.f64 d d)) c))
(/.f64 (*.f64 b d) (+.f64 (*.f64 c c) (*.f64 d d)))
(/.f64 (*.f64 c a) (+.f64 (*.f64 c c) (*.f64 d d)))
(/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) (*.f64 d d))
(+.f64 (/.f64 a c) (*.f64 (/.f64 1 c) (/.f64 (*.f64 b d) c)))
(+.f64 (/.f64 a c) (/.f64 1 (*.f64 (/.f64 c d) (/.f64 c b))))
(+.f64 (/.f64 b d) (*.f64 (/.f64 a 1) (/.f64 c (*.f64 d d))))
(+.f64 (/.f64 b d) (/.f64 1 (*.f64 (/.f64 d c) (/.f64 d a))))
(+.f64 (/.f64 a c) (*.f64 (/.f64 d c) (/.f64 (/.f64 1 c) (/.f64 1 b))))
(/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) (+.f64 (*.f64 c c) (*.f64 d d)))
(/.f64 (+.f64 (/.f64 d b) (*.f64 (*.f64 (/.f64 d c) (/.f64 d a)) 1)) (*.f64 (*.f64 (/.f64 d c) (/.f64 d a)) (/.f64 d b)))
(/.f64 b (hypot.f64 c d))
(/.f64 (neg.f64 a) (hypot.f64 c d))
(*.f64 (/.f64 1 (hypot.f64 c d)) b)
(*.f64 (/.f64 1 (hypot.f64 c d)) (neg.f64 a))
(+.f64 (/.f64 b d) (/.f64 (*.f64 a c) (pow.f64 d 2)))
(/.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 (*.f64 b (/.f64 (neg.f64 d) c)) a) (hypot.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 (*.f64 a c) d)))
(*.f64 (/.f64 1 (hypot.f64 c d)) (-.f64 (neg.f64 a) (*.f64 b (/.f64 d c))))
(*.f64 (/.f64 1 (hypot.f64 c d)) (-.f64 (-.f64 (/.f64 (*.f64 1/2 a) (*.f64 (/.f64 c d) (/.f64 c d))) (*.f64 b (/.f64 d c))) a))
(*.f64 (/.f64 d (hypot.f64 c d)) (/.f64 b (hypot.f64 c d)))
(*.f64 (/.f64 1 (hypot.f64 c d)) (/.f64 (*.f64 b d) (hypot.f64 c d)))
(/.f64 (*.f64 (/.f64 1 (hypot.f64 c d)) (*.f64 a c)) (hypot.f64 c d))
(/.f64 (*.f64 (/.f64 1 (hypot.f64 c d)) (*.f64 b d)) (hypot.f64 c d))
(/.f64 (fma.f64 a c (*.f64 b d)) (fma.f64 c c (*.f64 d d)))
(*.f64 (/.f64 1 d) (/.f64 (fma.f64 a c (*.f64 b d)) (hypot.f64 c d)))
(*.f64 (/.f64 1 (hypot.f64 c d)) (/.f64 (+.f64 (*.f64 b d) (*.f64 a c)) (hypot.f64 c d)))
Outputs
(*.f64 (/.f64 1 (hypot.f64 c d)) (/.f64 (+.f64 (*.f64 b d) (*.f64 a c)) (hypot.f64 c d)))
(+.f64 (/.f64 b d) (/.f64 a (*.f64 d (/.f64 d c))))
(+.f64 (/.f64 a c) (/.f64 1 (*.f64 (/.f64 c d) (/.f64 c b))))
Calls

1 calls:

74.0ms
(/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) (+.f64 (*.f64 c c) (*.f64 d d)))
Results
AccuracySegmentsBranch
88.3%3(/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) (+.f64 (*.f64 c c) (*.f64 d d)))
Compiler

Compiled 601 to 178 computations (70.4% saved)

regimes353.0ms (3.6%)

Counts
56 → 6
Calls
Call 1
Inputs
(/.f64 a c)
(/.f64 a d)
(/.f64 b c)
(/.f64 b d)
(/.f64 (neg.f64 a) d)
(/.f64 (neg.f64 b) c)
(/.f64 (neg.f64 b) d)
(*.f64 b (/.f64 1 d))
(/.f64 1 (/.f64 d b))
(*.f64 a (/.f64 (/.f64 c d) d))
(*.f64 c (/.f64 a (*.f64 d d)))
(*.f64 c (/.f64 (/.f64 a d) d))
(*.f64 d (/.f64 (/.f64 b c) c))
(*.f64 (/.f64 b c) (/.f64 d c))
(+.f64 (/.f64 b c) (/.f64 a d))
(/.f64 (*.f64 b d) (*.f64 c c))
(/.f64 (*.f64 b d) (*.f64 d d))
(-.f64 (/.f64 (neg.f64 a) d) (/.f64 b c))
(+.f64 (/.f64 a c) (*.f64 (/.f64 d c) (/.f64 b c)))
(+.f64 (/.f64 a c) (/.f64 (*.f64 b d) (*.f64 c c)))
(+.f64 (/.f64 a c) (/.f64 (*.f64 b (/.f64 d c)) c))
(+.f64 (/.f64 a c) (/.f64 (/.f64 b (/.f64 c d)) c))
(+.f64 (/.f64 b d) (*.f64 c (/.f64 a (*.f64 d d))))
(+.f64 (/.f64 b d) (*.f64 (/.f64 c d) (/.f64 a d)))
(+.f64 (/.f64 b d) (/.f64 a (*.f64 d (/.f64 d c))))
(+.f64 (/.f64 b d) (/.f64 a (/.f64 (*.f64 d d) c)))
(+.f64 (/.f64 b d) (/.f64 (*.f64 a c) (*.f64 d d)))
(/.f64 a (/.f64 (+.f64 (*.f64 c c) (*.f64 d d)) c))
(/.f64 (*.f64 b d) (+.f64 (*.f64 c c) (*.f64 d d)))
(/.f64 (*.f64 c a) (+.f64 (*.f64 c c) (*.f64 d d)))
(/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) (*.f64 d d))
(+.f64 (/.f64 a c) (*.f64 (/.f64 1 c) (/.f64 (*.f64 b d) c)))
(+.f64 (/.f64 a c) (/.f64 1 (*.f64 (/.f64 c d) (/.f64 c b))))
(+.f64 (/.f64 b d) (*.f64 (/.f64 a 1) (/.f64 c (*.f64 d d))))
(+.f64 (/.f64 b d) (/.f64 1 (*.f64 (/.f64 d c) (/.f64 d a))))
(+.f64 (/.f64 a c) (*.f64 (/.f64 d c) (/.f64 (/.f64 1 c) (/.f64 1 b))))
(/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) (+.f64 (*.f64 c c) (*.f64 d d)))
(/.f64 (+.f64 (/.f64 d b) (*.f64 (*.f64 (/.f64 d c) (/.f64 d a)) 1)) (*.f64 (*.f64 (/.f64 d c) (/.f64 d a)) (/.f64 d b)))
(/.f64 b (hypot.f64 c d))
(/.f64 (neg.f64 a) (hypot.f64 c d))
(*.f64 (/.f64 1 (hypot.f64 c d)) b)
(*.f64 (/.f64 1 (hypot.f64 c d)) (neg.f64 a))
(+.f64 (/.f64 b d) (/.f64 (*.f64 a c) (pow.f64 d 2)))
(/.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 (*.f64 b (/.f64 (neg.f64 d) c)) a) (hypot.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 (*.f64 a c) d)))
(*.f64 (/.f64 1 (hypot.f64 c d)) (-.f64 (neg.f64 a) (*.f64 b (/.f64 d c))))
(*.f64 (/.f64 1 (hypot.f64 c d)) (-.f64 (-.f64 (/.f64 (*.f64 1/2 a) (*.f64 (/.f64 c d) (/.f64 c d))) (*.f64 b (/.f64 d c))) a))
(*.f64 (/.f64 d (hypot.f64 c d)) (/.f64 b (hypot.f64 c d)))
(*.f64 (/.f64 1 (hypot.f64 c d)) (/.f64 (*.f64 b d) (hypot.f64 c d)))
(/.f64 (*.f64 (/.f64 1 (hypot.f64 c d)) (*.f64 a c)) (hypot.f64 c d))
(/.f64 (*.f64 (/.f64 1 (hypot.f64 c d)) (*.f64 b d)) (hypot.f64 c d))
(/.f64 (fma.f64 a c (*.f64 b d)) (fma.f64 c c (*.f64 d d)))
(*.f64 (/.f64 1 d) (/.f64 (fma.f64 a c (*.f64 b d)) (hypot.f64 c d)))
Outputs
(/.f64 (-.f64 (*.f64 b (/.f64 (neg.f64 d) c)) a) (hypot.f64 c d))
(/.f64 (fma.f64 a c (*.f64 b d)) (fma.f64 c c (*.f64 d d)))
(+.f64 (/.f64 b d) (/.f64 a (*.f64 d (/.f64 d c))))
(/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) (+.f64 (*.f64 c c) (*.f64 d d)))
(*.f64 (/.f64 d (hypot.f64 c d)) (/.f64 b (hypot.f64 c d)))
(+.f64 (/.f64 a c) (*.f64 (/.f64 d c) (/.f64 (/.f64 1 c) (/.f64 1 b))))
Calls

3 calls:

159.0ms
c
102.0ms
b
80.0ms
(/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) (+.f64 (*.f64 c c) (*.f64 d d)))
Results
AccuracySegmentsBranch
73.9%4b
85.7%6c
84.2%6(/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) (+.f64 (*.f64 c c) (*.f64 d d)))
Compiler

Compiled 594 to 181 computations (69.5% saved)

regimes163.0ms (1.7%)

Counts
54 → 6
Calls
Call 1
Inputs
(/.f64 a c)
(/.f64 a d)
(/.f64 b c)
(/.f64 b d)
(/.f64 (neg.f64 a) d)
(/.f64 (neg.f64 b) c)
(/.f64 (neg.f64 b) d)
(*.f64 b (/.f64 1 d))
(/.f64 1 (/.f64 d b))
(*.f64 a (/.f64 (/.f64 c d) d))
(*.f64 c (/.f64 a (*.f64 d d)))
(*.f64 c (/.f64 (/.f64 a d) d))
(*.f64 d (/.f64 (/.f64 b c) c))
(*.f64 (/.f64 b c) (/.f64 d c))
(+.f64 (/.f64 b c) (/.f64 a d))
(/.f64 (*.f64 b d) (*.f64 c c))
(/.f64 (*.f64 b d) (*.f64 d d))
(-.f64 (/.f64 (neg.f64 a) d) (/.f64 b c))
(+.f64 (/.f64 a c) (*.f64 (/.f64 d c) (/.f64 b c)))
(+.f64 (/.f64 a c) (/.f64 (*.f64 b d) (*.f64 c c)))
(+.f64 (/.f64 a c) (/.f64 (*.f64 b (/.f64 d c)) c))
(+.f64 (/.f64 a c) (/.f64 (/.f64 b (/.f64 c d)) c))
(+.f64 (/.f64 b d) (*.f64 c (/.f64 a (*.f64 d d))))
(+.f64 (/.f64 b d) (*.f64 (/.f64 c d) (/.f64 a d)))
(+.f64 (/.f64 b d) (/.f64 a (*.f64 d (/.f64 d c))))
(+.f64 (/.f64 b d) (/.f64 a (/.f64 (*.f64 d d) c)))
(+.f64 (/.f64 b d) (/.f64 (*.f64 a c) (*.f64 d d)))
(/.f64 a (/.f64 (+.f64 (*.f64 c c) (*.f64 d d)) c))
(/.f64 (*.f64 b d) (+.f64 (*.f64 c c) (*.f64 d d)))
(/.f64 (*.f64 c a) (+.f64 (*.f64 c c) (*.f64 d d)))
(/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) (*.f64 d d))
(+.f64 (/.f64 a c) (*.f64 (/.f64 1 c) (/.f64 (*.f64 b d) c)))
(+.f64 (/.f64 a c) (/.f64 1 (*.f64 (/.f64 c d) (/.f64 c b))))
(+.f64 (/.f64 b d) (*.f64 (/.f64 a 1) (/.f64 c (*.f64 d d))))
(+.f64 (/.f64 b d) (/.f64 1 (*.f64 (/.f64 d c) (/.f64 d a))))
(+.f64 (/.f64 a c) (*.f64 (/.f64 d c) (/.f64 (/.f64 1 c) (/.f64 1 b))))
(/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) (+.f64 (*.f64 c c) (*.f64 d d)))
(/.f64 (+.f64 (/.f64 d b) (*.f64 (*.f64 (/.f64 d c) (/.f64 d a)) 1)) (*.f64 (*.f64 (/.f64 d c) (/.f64 d a)) (/.f64 d b)))
(/.f64 b (hypot.f64 c d))
(/.f64 (neg.f64 a) (hypot.f64 c d))
(*.f64 (/.f64 1 (hypot.f64 c d)) b)
(*.f64 (/.f64 1 (hypot.f64 c d)) (neg.f64 a))
(+.f64 (/.f64 b d) (/.f64 (*.f64 a c) (pow.f64 d 2)))
(/.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 (*.f64 b (/.f64 (neg.f64 d) c)) a) (hypot.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 (*.f64 a c) d)))
(*.f64 (/.f64 1 (hypot.f64 c d)) (-.f64 (neg.f64 a) (*.f64 b (/.f64 d c))))
(*.f64 (/.f64 1 (hypot.f64 c d)) (-.f64 (-.f64 (/.f64 (*.f64 1/2 a) (*.f64 (/.f64 c d) (/.f64 c d))) (*.f64 b (/.f64 d c))) a))
(*.f64 (/.f64 d (hypot.f64 c d)) (/.f64 b (hypot.f64 c d)))
(*.f64 (/.f64 1 (hypot.f64 c d)) (/.f64 (*.f64 b d) (hypot.f64 c d)))
(/.f64 (*.f64 (/.f64 1 (hypot.f64 c d)) (*.f64 a c)) (hypot.f64 c d))
(/.f64 (*.f64 (/.f64 1 (hypot.f64 c d)) (*.f64 b d)) (hypot.f64 c d))
Outputs
(/.f64 (-.f64 (*.f64 b (/.f64 (neg.f64 d) c)) a) (hypot.f64 c d))
(/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) (+.f64 (*.f64 c c) (*.f64 d d)))
(+.f64 (/.f64 b d) (/.f64 a (*.f64 d (/.f64 d c))))
(/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) (+.f64 (*.f64 c c) (*.f64 d d)))
(*.f64 (/.f64 d (hypot.f64 c d)) (/.f64 b (hypot.f64 c d)))
(+.f64 (/.f64 a c) (*.f64 (/.f64 d c) (/.f64 (/.f64 1 c) (/.f64 1 b))))
Calls

1 calls:

152.0ms
c
Results
AccuracySegmentsBranch
85.7%6c
Compiler

Compiled 543 to 159 computations (70.7% saved)

regimes183.0ms (1.9%)

Counts
50 → 6
Calls
Call 1
Inputs
(/.f64 a c)
(/.f64 a d)
(/.f64 b c)
(/.f64 b d)
(/.f64 (neg.f64 a) d)
(/.f64 (neg.f64 b) c)
(/.f64 (neg.f64 b) d)
(*.f64 b (/.f64 1 d))
(/.f64 1 (/.f64 d b))
(*.f64 a (/.f64 (/.f64 c d) d))
(*.f64 c (/.f64 a (*.f64 d d)))
(*.f64 c (/.f64 (/.f64 a d) d))
(*.f64 d (/.f64 (/.f64 b c) c))
(*.f64 (/.f64 b c) (/.f64 d c))
(+.f64 (/.f64 b c) (/.f64 a d))
(/.f64 (*.f64 b d) (*.f64 c c))
(/.f64 (*.f64 b d) (*.f64 d d))
(-.f64 (/.f64 (neg.f64 a) d) (/.f64 b c))
(+.f64 (/.f64 a c) (*.f64 (/.f64 d c) (/.f64 b c)))
(+.f64 (/.f64 a c) (/.f64 (*.f64 b d) (*.f64 c c)))
(+.f64 (/.f64 a c) (/.f64 (*.f64 b (/.f64 d c)) c))
(+.f64 (/.f64 a c) (/.f64 (/.f64 b (/.f64 c d)) c))
(+.f64 (/.f64 b d) (*.f64 c (/.f64 a (*.f64 d d))))
(+.f64 (/.f64 b d) (*.f64 (/.f64 c d) (/.f64 a d)))
(+.f64 (/.f64 b d) (/.f64 a (*.f64 d (/.f64 d c))))
(+.f64 (/.f64 b d) (/.f64 a (/.f64 (*.f64 d d) c)))
(+.f64 (/.f64 b d) (/.f64 (*.f64 a c) (*.f64 d d)))
(/.f64 a (/.f64 (+.f64 (*.f64 c c) (*.f64 d d)) c))
(/.f64 (*.f64 b d) (+.f64 (*.f64 c c) (*.f64 d d)))
(/.f64 (*.f64 c a) (+.f64 (*.f64 c c) (*.f64 d d)))
(/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) (*.f64 d d))
(+.f64 (/.f64 a c) (*.f64 (/.f64 1 c) (/.f64 (*.f64 b d) c)))
(+.f64 (/.f64 a c) (/.f64 1 (*.f64 (/.f64 c d) (/.f64 c b))))
(+.f64 (/.f64 b d) (*.f64 (/.f64 a 1) (/.f64 c (*.f64 d d))))
(+.f64 (/.f64 b d) (/.f64 1 (*.f64 (/.f64 d c) (/.f64 d a))))
(+.f64 (/.f64 a c) (*.f64 (/.f64 d c) (/.f64 (/.f64 1 c) (/.f64 1 b))))
(/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) (+.f64 (*.f64 c c) (*.f64 d d)))
(/.f64 (+.f64 (/.f64 d b) (*.f64 (*.f64 (/.f64 d c) (/.f64 d a)) 1)) (*.f64 (*.f64 (/.f64 d c) (/.f64 d a)) (/.f64 d b)))
(/.f64 b (hypot.f64 c d))
(/.f64 (neg.f64 a) (hypot.f64 c d))
(*.f64 (/.f64 1 (hypot.f64 c d)) b)
(*.f64 (/.f64 1 (hypot.f64 c d)) (neg.f64 a))
(+.f64 (/.f64 b d) (/.f64 (*.f64 a c) (pow.f64 d 2)))
(/.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 (*.f64 b (/.f64 (neg.f64 d) c)) a) (hypot.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 (*.f64 a c) d)))
(*.f64 (/.f64 1 (hypot.f64 c d)) (-.f64 (neg.f64 a) (*.f64 b (/.f64 d c))))
(*.f64 (/.f64 1 (hypot.f64 c d)) (-.f64 (-.f64 (/.f64 (*.f64 1/2 a) (*.f64 (/.f64 c d) (/.f64 c d))) (*.f64 b (/.f64 d c))) a))
Outputs
(/.f64 (-.f64 (*.f64 b (/.f64 (neg.f64 d) c)) a) (hypot.f64 c d))
(/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) (+.f64 (*.f64 c c) (*.f64 d d)))
(+.f64 (/.f64 b d) (/.f64 a (*.f64 d (/.f64 d c))))
(/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) (+.f64 (*.f64 c c) (*.f64 d d)))
(+.f64 (/.f64 b d) (*.f64 c (/.f64 a (*.f64 d d))))
(+.f64 (/.f64 a c) (*.f64 (/.f64 d c) (/.f64 (/.f64 1 c) (/.f64 1 b))))
Calls

1 calls:

173.0ms
c
Results
AccuracySegmentsBranch
85.0%6c
Compiler

Compiled 493 to 145 computations (70.6% saved)

regimes139.0ms (1.4%)

Counts
45 → 6
Calls
Call 1
Inputs
(/.f64 a c)
(/.f64 a d)
(/.f64 b c)
(/.f64 b d)
(/.f64 (neg.f64 a) d)
(/.f64 (neg.f64 b) c)
(/.f64 (neg.f64 b) d)
(*.f64 b (/.f64 1 d))
(/.f64 1 (/.f64 d b))
(*.f64 a (/.f64 (/.f64 c d) d))
(*.f64 c (/.f64 a (*.f64 d d)))
(*.f64 c (/.f64 (/.f64 a d) d))
(*.f64 d (/.f64 (/.f64 b c) c))
(*.f64 (/.f64 b c) (/.f64 d c))
(+.f64 (/.f64 b c) (/.f64 a d))
(/.f64 (*.f64 b d) (*.f64 c c))
(/.f64 (*.f64 b d) (*.f64 d d))
(-.f64 (/.f64 (neg.f64 a) d) (/.f64 b c))
(+.f64 (/.f64 a c) (*.f64 (/.f64 d c) (/.f64 b c)))
(+.f64 (/.f64 a c) (/.f64 (*.f64 b d) (*.f64 c c)))
(+.f64 (/.f64 a c) (/.f64 (*.f64 b (/.f64 d c)) c))
(+.f64 (/.f64 a c) (/.f64 (/.f64 b (/.f64 c d)) c))
(+.f64 (/.f64 b d) (*.f64 c (/.f64 a (*.f64 d d))))
(+.f64 (/.f64 b d) (*.f64 (/.f64 c d) (/.f64 a d)))
(+.f64 (/.f64 b d) (/.f64 a (*.f64 d (/.f64 d c))))
(+.f64 (/.f64 b d) (/.f64 a (/.f64 (*.f64 d d) c)))
(+.f64 (/.f64 b d) (/.f64 (*.f64 a c) (*.f64 d d)))
(/.f64 a (/.f64 (+.f64 (*.f64 c c) (*.f64 d d)) c))
(/.f64 (*.f64 b d) (+.f64 (*.f64 c c) (*.f64 d d)))
(/.f64 (*.f64 c a) (+.f64 (*.f64 c c) (*.f64 d d)))
(/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) (*.f64 d d))
(+.f64 (/.f64 a c) (*.f64 (/.f64 1 c) (/.f64 (*.f64 b d) c)))
(+.f64 (/.f64 a c) (/.f64 1 (*.f64 (/.f64 c d) (/.f64 c b))))
(+.f64 (/.f64 b d) (*.f64 (/.f64 a 1) (/.f64 c (*.f64 d d))))
(+.f64 (/.f64 b d) (/.f64 1 (*.f64 (/.f64 d c) (/.f64 d a))))
(+.f64 (/.f64 a c) (*.f64 (/.f64 d c) (/.f64 (/.f64 1 c) (/.f64 1 b))))
(/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) (+.f64 (*.f64 c c) (*.f64 d d)))
(/.f64 (+.f64 (/.f64 d b) (*.f64 (*.f64 (/.f64 d c) (/.f64 d a)) 1)) (*.f64 (*.f64 (/.f64 d c) (/.f64 d a)) (/.f64 d b)))
(/.f64 b (hypot.f64 c d))
(/.f64 (neg.f64 a) (hypot.f64 c d))
(*.f64 (/.f64 1 (hypot.f64 c d)) b)
(*.f64 (/.f64 1 (hypot.f64 c d)) (neg.f64 a))
(+.f64 (/.f64 b d) (/.f64 (*.f64 a c) (pow.f64 d 2)))
(/.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 d c) (/.f64 (/.f64 1 c) (/.f64 1 b))))
(/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) (+.f64 (*.f64 c c) (*.f64 d d)))
(+.f64 (/.f64 b d) (/.f64 a (*.f64 d (/.f64 d c))))
(/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) (+.f64 (*.f64 c c) (*.f64 d d)))
(+.f64 (/.f64 b d) (*.f64 c (/.f64 a (*.f64 d d))))
(+.f64 (/.f64 a c) (*.f64 (/.f64 d c) (/.f64 (/.f64 1 c) (/.f64 1 b))))
Calls

1 calls:

130.0ms
c
Results
AccuracySegmentsBranch
85.0%6c
Compiler

Compiled 416 to 121 computations (70.9% saved)

regimes226.0ms (2.3%)

Counts
36 → 5
Calls
Call 1
Inputs
(/.f64 a c)
(/.f64 a d)
(/.f64 b c)
(/.f64 b d)
(/.f64 (neg.f64 a) d)
(/.f64 (neg.f64 b) c)
(/.f64 (neg.f64 b) d)
(*.f64 b (/.f64 1 d))
(/.f64 1 (/.f64 d b))
(*.f64 a (/.f64 (/.f64 c d) d))
(*.f64 c (/.f64 a (*.f64 d d)))
(*.f64 c (/.f64 (/.f64 a d) d))
(*.f64 d (/.f64 (/.f64 b c) c))
(*.f64 (/.f64 b c) (/.f64 d c))
(+.f64 (/.f64 b c) (/.f64 a d))
(/.f64 (*.f64 b d) (*.f64 c c))
(/.f64 (*.f64 b d) (*.f64 d d))
(-.f64 (/.f64 (neg.f64 a) d) (/.f64 b c))
(+.f64 (/.f64 a c) (*.f64 (/.f64 d c) (/.f64 b c)))
(+.f64 (/.f64 a c) (/.f64 (*.f64 b d) (*.f64 c c)))
(+.f64 (/.f64 a c) (/.f64 (*.f64 b (/.f64 d c)) c))
(+.f64 (/.f64 a c) (/.f64 (/.f64 b (/.f64 c d)) c))
(+.f64 (/.f64 b d) (*.f64 c (/.f64 a (*.f64 d d))))
(+.f64 (/.f64 b d) (*.f64 (/.f64 c d) (/.f64 a d)))
(+.f64 (/.f64 b d) (/.f64 a (*.f64 d (/.f64 d c))))
(+.f64 (/.f64 b d) (/.f64 a (/.f64 (*.f64 d d) c)))
(+.f64 (/.f64 b d) (/.f64 (*.f64 a c) (*.f64 d d)))
(/.f64 a (/.f64 (+.f64 (*.f64 c c) (*.f64 d d)) c))
(/.f64 (*.f64 b d) (+.f64 (*.f64 c c) (*.f64 d d)))
(/.f64 (*.f64 c a) (+.f64 (*.f64 c c) (*.f64 d d)))
(/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) (*.f64 d d))
(+.f64 (/.f64 a c) (*.f64 (/.f64 1 c) (/.f64 (*.f64 b d) c)))
(+.f64 (/.f64 a c) (/.f64 1 (*.f64 (/.f64 c d) (/.f64 c b))))
(+.f64 (/.f64 b d) (*.f64 (/.f64 a 1) (/.f64 c (*.f64 d d))))
(+.f64 (/.f64 b d) (/.f64 1 (*.f64 (/.f64 d c) (/.f64 d a))))
(+.f64 (/.f64 a c) (*.f64 (/.f64 d c) (/.f64 (/.f64 1 c) (/.f64 1 b))))
Outputs
(+.f64 (/.f64 a c) (*.f64 (/.f64 d c) (/.f64 b c)))
(+.f64 (/.f64 b d) (*.f64 (/.f64 c d) (/.f64 a d)))
(+.f64 (/.f64 a c) (/.f64 (*.f64 b d) (*.f64 c c)))
(+.f64 (/.f64 b d) (*.f64 c (/.f64 a (*.f64 d d))))
(+.f64 (/.f64 a c) (*.f64 (/.f64 d c) (/.f64 (/.f64 1 c) (/.f64 1 b))))
Calls

2 calls:

121.0ms
c
98.0ms
d
Results
AccuracySegmentsBranch
75.1%3d
82.8%5c
Compiler

Compiled 322 to 101 computations (68.6% saved)

regimes90.0ms (0.9%)

Counts
35 → 5
Calls
Call 1
Inputs
(/.f64 a c)
(/.f64 a d)
(/.f64 b c)
(/.f64 b d)
(/.f64 (neg.f64 a) d)
(/.f64 (neg.f64 b) c)
(/.f64 (neg.f64 b) d)
(*.f64 b (/.f64 1 d))
(/.f64 1 (/.f64 d b))
(*.f64 a (/.f64 (/.f64 c d) d))
(*.f64 c (/.f64 a (*.f64 d d)))
(*.f64 c (/.f64 (/.f64 a d) d))
(*.f64 d (/.f64 (/.f64 b c) c))
(*.f64 (/.f64 b c) (/.f64 d c))
(+.f64 (/.f64 b c) (/.f64 a d))
(/.f64 (*.f64 b d) (*.f64 c c))
(/.f64 (*.f64 b d) (*.f64 d d))
(-.f64 (/.f64 (neg.f64 a) d) (/.f64 b c))
(+.f64 (/.f64 a c) (*.f64 (/.f64 d c) (/.f64 b c)))
(+.f64 (/.f64 a c) (/.f64 (*.f64 b d) (*.f64 c c)))
(+.f64 (/.f64 a c) (/.f64 (*.f64 b (/.f64 d c)) c))
(+.f64 (/.f64 a c) (/.f64 (/.f64 b (/.f64 c d)) c))
(+.f64 (/.f64 b d) (*.f64 c (/.f64 a (*.f64 d d))))
(+.f64 (/.f64 b d) (*.f64 (/.f64 c d) (/.f64 a d)))
(+.f64 (/.f64 b d) (/.f64 a (*.f64 d (/.f64 d c))))
(+.f64 (/.f64 b d) (/.f64 a (/.f64 (*.f64 d d) c)))
(+.f64 (/.f64 b d) (/.f64 (*.f64 a c) (*.f64 d d)))
(/.f64 a (/.f64 (+.f64 (*.f64 c c) (*.f64 d d)) c))
(/.f64 (*.f64 b d) (+.f64 (*.f64 c c) (*.f64 d d)))
(/.f64 (*.f64 c a) (+.f64 (*.f64 c c) (*.f64 d d)))
(/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) (*.f64 d d))
(+.f64 (/.f64 a c) (*.f64 (/.f64 1 c) (/.f64 (*.f64 b d) c)))
(+.f64 (/.f64 a c) (/.f64 1 (*.f64 (/.f64 c d) (/.f64 c b))))
(+.f64 (/.f64 b d) (*.f64 (/.f64 a 1) (/.f64 c (*.f64 d d))))
(+.f64 (/.f64 b d) (/.f64 1 (*.f64 (/.f64 d c) (/.f64 d a))))
Outputs
(+.f64 (/.f64 a c) (*.f64 (/.f64 d c) (/.f64 b c)))
(+.f64 (/.f64 b d) (*.f64 (/.f64 c d) (/.f64 a d)))
(+.f64 (/.f64 a c) (/.f64 (*.f64 b d) (*.f64 c c)))
(+.f64 (/.f64 b d) (*.f64 c (/.f64 a (*.f64 d d))))
(+.f64 (/.f64 a c) (*.f64 (/.f64 d c) (/.f64 b c)))
Calls

1 calls:

84.0ms
c
Results
AccuracySegmentsBranch
82.8%5c
Compiler

Compiled 302 to 90 computations (70.2% saved)

regimes116.0ms (1.2%)

Counts
23 → 5
Calls
Call 1
Inputs
(/.f64 a c)
(/.f64 a d)
(/.f64 b c)
(/.f64 b d)
(/.f64 (neg.f64 a) d)
(/.f64 (neg.f64 b) c)
(/.f64 (neg.f64 b) d)
(*.f64 b (/.f64 1 d))
(/.f64 1 (/.f64 d b))
(*.f64 a (/.f64 (/.f64 c d) d))
(*.f64 c (/.f64 a (*.f64 d d)))
(*.f64 c (/.f64 (/.f64 a d) d))
(*.f64 d (/.f64 (/.f64 b c) c))
(*.f64 (/.f64 b c) (/.f64 d c))
(+.f64 (/.f64 b c) (/.f64 a d))
(/.f64 (*.f64 b d) (*.f64 c c))
(/.f64 (*.f64 b d) (*.f64 d d))
(-.f64 (/.f64 (neg.f64 a) d) (/.f64 b c))
(+.f64 (/.f64 a c) (*.f64 (/.f64 d c) (/.f64 b c)))
(+.f64 (/.f64 a c) (/.f64 (*.f64 b d) (*.f64 c c)))
(+.f64 (/.f64 a c) (/.f64 (*.f64 b (/.f64 d c)) c))
(+.f64 (/.f64 a c) (/.f64 (/.f64 b (/.f64 c d)) c))
(+.f64 (/.f64 b d) (*.f64 c (/.f64 a (*.f64 d d))))
Outputs
(+.f64 (/.f64 a c) (*.f64 (/.f64 d c) (/.f64 b c)))
(+.f64 (/.f64 b d) (*.f64 c (/.f64 a (*.f64 d d))))
(+.f64 (/.f64 a c) (/.f64 (*.f64 b d) (*.f64 c c)))
(+.f64 (/.f64 b d) (*.f64 c (/.f64 a (*.f64 d d))))
(+.f64 (/.f64 a c) (*.f64 (/.f64 d c) (/.f64 b c)))
Calls

2 calls:

58.0ms
c
49.0ms
a
Results
AccuracySegmentsBranch
60.5%4a
78.9%5c
Compiler

Compiled 167 to 55 computations (67.1% saved)

regimes184.0ms (1.9%)

Counts
22 → 5
Calls
Call 1
Inputs
(/.f64 a c)
(/.f64 a d)
(/.f64 b c)
(/.f64 b d)
(/.f64 (neg.f64 a) d)
(/.f64 (neg.f64 b) c)
(/.f64 (neg.f64 b) d)
(*.f64 b (/.f64 1 d))
(/.f64 1 (/.f64 d b))
(*.f64 a (/.f64 (/.f64 c d) d))
(*.f64 c (/.f64 a (*.f64 d d)))
(*.f64 c (/.f64 (/.f64 a d) d))
(*.f64 d (/.f64 (/.f64 b c) c))
(*.f64 (/.f64 b c) (/.f64 d c))
(+.f64 (/.f64 b c) (/.f64 a d))
(/.f64 (*.f64 b d) (*.f64 c c))
(/.f64 (*.f64 b d) (*.f64 d d))
(-.f64 (/.f64 (neg.f64 a) d) (/.f64 b c))
(+.f64 (/.f64 a c) (*.f64 (/.f64 d c) (/.f64 b c)))
(+.f64 (/.f64 a c) (/.f64 (*.f64 b d) (*.f64 c c)))
(+.f64 (/.f64 a c) (/.f64 (*.f64 b (/.f64 d c)) c))
(+.f64 (/.f64 a c) (/.f64 (/.f64 b (/.f64 c d)) c))
Outputs
(+.f64 (/.f64 a c) (*.f64 (/.f64 d c) (/.f64 b c)))
(/.f64 b d)
(+.f64 (/.f64 a c) (/.f64 (*.f64 b d) (*.f64 c c)))
(/.f64 b d)
(+.f64 (/.f64 a c) (*.f64 (/.f64 d c) (/.f64 b c)))
Calls

3 calls:

90.0ms
d
63.0ms
c
27.0ms
b
Results
AccuracySegmentsBranch
57.1%2b
72.6%7d
75.2%5c
Compiler

Compiled 161 to 58 computations (64% saved)

regimes55.0ms (0.6%)

Counts
19 → 5
Calls
Call 1
Inputs
(/.f64 a c)
(/.f64 a d)
(/.f64 b c)
(/.f64 b d)
(/.f64 (neg.f64 a) d)
(/.f64 (neg.f64 b) c)
(/.f64 (neg.f64 b) d)
(*.f64 b (/.f64 1 d))
(/.f64 1 (/.f64 d b))
(*.f64 a (/.f64 (/.f64 c d) d))
(*.f64 c (/.f64 a (*.f64 d d)))
(*.f64 c (/.f64 (/.f64 a d) d))
(*.f64 d (/.f64 (/.f64 b c) c))
(*.f64 (/.f64 b c) (/.f64 d c))
(+.f64 (/.f64 b c) (/.f64 a d))
(/.f64 (*.f64 b d) (*.f64 c c))
(/.f64 (*.f64 b d) (*.f64 d d))
(-.f64 (/.f64 (neg.f64 a) d) (/.f64 b c))
(+.f64 (/.f64 a c) (*.f64 (/.f64 d c) (/.f64 b c)))
Outputs
(+.f64 (/.f64 a c) (*.f64 (/.f64 d c) (/.f64 b c)))
(/.f64 b d)
(+.f64 (/.f64 a c) (*.f64 (/.f64 d c) (/.f64 b c)))
(/.f64 b d)
(+.f64 (/.f64 a c) (*.f64 (/.f64 d c) (/.f64 b c)))
Calls

1 calls:

51.0ms
c
Results
AccuracySegmentsBranch
75.2%5c
Compiler

Compiled 118 to 43 computations (63.6% saved)

regimes33.0ms (0.3%)

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

1 calls:

29.0ms
c
Results
AccuracySegmentsBranch
68.6%3c
Compiler

Compiled 107 to 41 computations (61.7% saved)

regimes20.0ms (0.2%)

Counts
3 → 2
Calls
Call 1
Inputs
(/.f64 a c)
(/.f64 a d)
(/.f64 b c)
Outputs
(/.f64 a d)
(/.f64 a c)
Calls

4 calls:

8.0ms
d
4.0ms
c
4.0ms
a
4.0ms
b
Results
AccuracySegmentsBranch
42.8%1b
42.8%1a
44.7%2d
42.8%1c
Compiler

Compiled 33 to 23 computations (30.3% saved)

regimes10.0ms (0.1%)

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

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

3 calls:

4.0ms
d
3.0ms
b
3.0ms
c
Results
AccuracySegmentsBranch
42.8%1b
42.8%1c
42.8%1d
Compiler

Compiled 22 to 17 computations (22.7% saved)

bsearch1.0ms (0%)

Algorithm
left-value
Steps
TimeLeftRight
0.0ms
+inf
NaN
0.0ms
7.206210051181304e+250
+inf
Compiler

Compiled 26 to 17 computations (34.6% saved)

bsearch0.0ms (0%)

Algorithm
left-value
Steps
TimeLeftRight
0.0ms
+inf
NaN
0.0ms
7.206210051181304e+250
+inf
Compiler

Compiled 26 to 17 computations (34.6% saved)

bsearch79.0ms (0.8%)

Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
narrow-enough
narrow-enough
narrow-enough
Steps
TimeLeftRight
17.0ms
1.305008401054819e+90
7.428791465725546e+94
20.0ms
4181525696994258400.0
5.833595725499497e+26
14.0ms
9.727420124075815e-177
1.0058130264295928e-174
18.0ms
-2.0483323655496286e-167
-7.098237308685142e-171
11.0ms
-1.0920117947310466e+132
-3.4175572585134983e+131
Results
69.0ms568×body256valid
3.0ms24×body256infinite
Compiler

Compiled 1337 to 809 computations (39.5% saved)

bsearch85.0ms (0.9%)

Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
narrow-enough
narrow-enough
narrow-enough
Steps
TimeLeftRight
18.0ms
1.305008401054819e+90
7.428791465725546e+94
21.0ms
4181525696994258400.0
5.833595725499497e+26
14.0ms
9.727420124075815e-177
1.0058130264295928e-174
22.0ms
-2.0483323655496286e-167
-7.098237308685142e-171
10.0ms
-1.0920117947310466e+132
-3.4175572585134983e+131
Results
70.0ms558×body256valid
4.0ms34×body256infinite
Compiler

Compiled 1363 to 835 computations (38.7% saved)

bsearch86.0ms (0.9%)

Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
narrow-enough
narrow-enough
narrow-enough
Steps
TimeLeftRight
22.0ms
1.305008401054819e+90
7.428791465725546e+94
19.0ms
4181525696994258400.0
5.833595725499497e+26
15.0ms
9.727420124075815e-177
1.0058130264295928e-174
18.0ms
-2.0483323655496286e-167
-7.098237308685142e-171
11.0ms
-1.0920117947310466e+132
-3.4175572585134983e+131
Results
70.0ms560×body256valid
4.0ms32×body256infinite
Compiler

Compiled 1363 to 852 computations (37.5% saved)

bsearch80.0ms (0.8%)

Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
narrow-enough
narrow-enough
narrow-enough
Steps
TimeLeftRight
17.0ms
1.305008401054819e+90
7.428791465725546e+94
18.0ms
4181525696994258400.0
5.833595725499497e+26
17.0ms
9.727420124075815e-177
1.0058130264295928e-174
16.0ms
-2.0483323655496286e-167
-7.098237308685142e-171
12.0ms
-1.0920117947310466e+132
-3.4175572585134983e+131
Results
67.0ms558×body256valid
4.0ms34×body256infinite
Compiler

Compiled 1378 to 867 computations (37.1% saved)

bsearch73.0ms (0.7%)

Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
narrow-enough
narrow-enough
Steps
TimeLeftRight
17.0ms
1.305008401054819e+90
7.428791465725546e+94
19.0ms
4181525696994258400.0
5.833595725499497e+26
20.0ms
976.7476983563162
40382176439.96101
16.0ms
-7.566709147528659e+56
-4.270780290553028e+52
Results
66.0ms544×body256valid
Compiler

Compiled 1146 to 729 computations (36.4% saved)

bsearch75.0ms (0.8%)

Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
narrow-enough
narrow-enough
Steps
TimeLeftRight
16.0ms
1.305008401054819e+90
7.428791465725546e+94
19.0ms
4181525696994258400.0
5.833595725499497e+26
22.0ms
976.7476983563162
40382176439.96101
17.0ms
-7.566709147528659e+56
-4.270780290553028e+52
Results
68.0ms544×body256valid
Compiler

Compiled 1114 to 697 computations (37.4% saved)

bsearch72.0ms (0.7%)

Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
narrow-enough
narrow-enough
Steps
TimeLeftRight
17.0ms
1.305008401054819e+90
7.428791465725546e+94
18.0ms
4181525696994258400.0
5.833595725499497e+26
21.0ms
976.7476983563162
40382176439.96101
16.0ms
-7.566709147528659e+56
-4.270780290553028e+52
Results
65.0ms544×body256valid
Compiler

Compiled 1114 to 697 computations (37.4% saved)

bsearch74.0ms (0.8%)

Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
narrow-enough
narrow-enough
Steps
TimeLeftRight
16.0ms
1.305008401054819e+90
7.428791465725546e+94
18.0ms
4181525696994258400.0
5.833595725499497e+26
23.0ms
976.7476983563162
40382176439.96101
17.0ms
-7.566709147528659e+56
-4.270780290553028e+52
Results
68.0ms544×body256valid
Compiler

Compiled 842 to 561 computations (33.4% saved)

bsearch70.0ms (0.7%)

Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
narrow-enough
narrow-enough
Steps
TimeLeftRight
15.0ms
1.305008401054819e+90
7.428791465725546e+94
19.0ms
4181525696994258400.0
5.833595725499497e+26
19.0ms
976.7476983563162
40382176439.96101
17.0ms
-7.566709147528659e+56
-4.270780290553028e+52
Results
64.0ms544×body256valid
Compiler

Compiled 842 to 561 computations (33.4% saved)

bsearch37.0ms (0.4%)

Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
20.0ms
1.305008401054819e+90
7.428791465725546e+94
18.0ms
-7.566709147528659e+56
-4.270780290553028e+52
Results
34.0ms256×body256valid
Compiler

Compiled 282 to 209 computations (25.9% saved)

bsearch21.0ms (0.2%)

Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
21.0ms
-1.1648730802870622e+196
-5.388417332085902e+194
Results
20.0ms112×body256valid
Compiler

Compiled 138 to 101 computations (26.8% saved)

simplify63.0ms (0.6%)

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

Useful iterations: 3 (0.0ms)

IterNodesCost
01742438
12112438
22252414
32532410
42712410
52822410
62872410
72892410
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))) 100000000000000004827911520448877862495844246422343156393075429187162764617507655537214145823852994263659565935453370610499537728043164857800396298916132410948026391308085570960636368309306117879178753245974556315302310250472271728848176952226298724352) (/.f64 (*.f64 (/.f64 1 (hypot.f64 c d)) (+.f64 (*.f64 b d) (*.f64 a c))) (hypot.f64 c d)) (if (<=.f64 (/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) (+.f64 (*.f64 c c) (*.f64 d d))) +inf.0) (+.f64 (/.f64 b d) (/.f64 a (*.f64 d (/.f64 d c)))) (+.f64 (/.f64 a c) (/.f64 1 (*.f64 (/.f64 c d) (/.f64 c b))))))
(if (<=.f64 (/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) (+.f64 (*.f64 c c) (*.f64 d d))) 100000000000000004827911520448877862495844246422343156393075429187162764617507655537214145823852994263659565935453370610499537728043164857800396298916132410948026391308085570960636368309306117879178753245974556315302310250472271728848176952226298724352) (*.f64 (/.f64 1 (hypot.f64 c d)) (/.f64 (+.f64 (*.f64 b d) (*.f64 a c)) (hypot.f64 c d))) (if (<=.f64 (/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) (+.f64 (*.f64 c c) (*.f64 d d))) +inf.0) (+.f64 (/.f64 b d) (/.f64 a (*.f64 d (/.f64 d c)))) (+.f64 (/.f64 a c) (/.f64 1 (*.f64 (/.f64 c d) (/.f64 c b))))))
(if (<=.f64 c -410000000000000007272684369958577570549640856533030679335804808602569419208418004031229698953701015047531475169866672343101516808192) (/.f64 (-.f64 (*.f64 b (/.f64 (neg.f64 d) c)) a) (hypot.f64 c d)) (if (<=.f64 c -5311379928167671/265568996408383549344794103276234313664796558863515961599722069100201779930426121369581251132614642834444664743123250507673289668826353619704759989383293675971915635417696609515864064) (/.f64 (fma.f64 a c (*.f64 b d)) (fma.f64 c c (*.f64 d d))) (if (<=.f64 c 4455508415646675/4455508415646675018204269146191690746966043464109921807206242693261010905477224010259680479802120507596330380442963288389344438204468201170168614570041224793214838549179946240315306828365824) (+.f64 (/.f64 b d) (/.f64 a (*.f64 d (/.f64 d c)))) (if (<=.f64 c 180000000000000012012486656) (/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) (+.f64 (*.f64 c c) (*.f64 d d))) (if (<=.f64 c 1349999999999999971715283987748754631263657232169187180966406116373334667807881493835939840) (*.f64 (/.f64 d (hypot.f64 c d)) (/.f64 b (hypot.f64 c d))) (+.f64 (/.f64 a c) (*.f64 (/.f64 d c) (/.f64 (/.f64 1 c) (/.f64 1 b)))))))))
(if (<=.f64 c -349999999999999988909947351547550954834505077465146958178484425188094869493301191821220672595847427346507537634557365792420713725952) (/.f64 (-.f64 (*.f64 b (/.f64 (neg.f64 d) c)) a) (hypot.f64 c d)) (if (<=.f64 c -5311379928167671/265568996408383549344794103276234313664796558863515961599722069100201779930426121369581251132614642834444664743123250507673289668826353619704759989383293675971915635417696609515864064) (/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) (+.f64 (*.f64 c c) (*.f64 d d))) (if (<=.f64 c 178220336625867/556938551955834377275533643273961343370755433013740225900780336657626363184653001282460059975265063449541297555370411048668054775558525146271076821255153099151854818647493280039413353545728) (+.f64 (/.f64 b d) (/.f64 a (*.f64 d (/.f64 d c)))) (if (<=.f64 c 579999999999999996711665664) (/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) (+.f64 (*.f64 c c) (*.f64 d d))) (if (<=.f64 c 22999999999999999116056380309853104052648240082716101555573546338071521055276925423062089728) (*.f64 (/.f64 d (hypot.f64 c d)) (/.f64 b (hypot.f64 c d))) (+.f64 (/.f64 a c) (*.f64 (/.f64 d c) (/.f64 (/.f64 1 c) (/.f64 1 b)))))))))
(if (<=.f64 c -380000000000000037493322057147543474971113067142702623836883887360778812299153002171946957271984832611285761287127659874389105573888) (/.f64 (-.f64 (*.f64 b (/.f64 (neg.f64 d) c)) a) (hypot.f64 c d)) (if (<=.f64 c -5311379928167671/265568996408383549344794103276234313664796558863515961599722069100201779930426121369581251132614642834444664743123250507673289668826353619704759989383293675971915635417696609515864064) (/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) (+.f64 (*.f64 c c) (*.f64 d d))) (if (<=.f64 c 4455508415646675/4455508415646675018204269146191690746966043464109921807206242693261010905477224010259680479802120507596330380442963288389344438204468201170168614570041224793214838549179946240315306828365824) (+.f64 (/.f64 b d) (/.f64 a (*.f64 d (/.f64 d c)))) (if (<=.f64 c 180000000000000012012486656) (/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) (+.f64 (*.f64 c c) (*.f64 d d))) (if (<=.f64 c 449999999999999990571761329249584877087885744056395726988802038791111555935960497945313280000) (+.f64 (/.f64 b d) (*.f64 c (/.f64 a (*.f64 d d)))) (+.f64 (/.f64 a c) (*.f64 (/.f64 d c) (/.f64 (/.f64 1 c) (/.f64 1 b)))))))))
(if (<=.f64 c -349999999999999988909947351547550954834505077465146958178484425188094869493301191821220672595847427346507537634557365792420713725952) (+.f64 (/.f64 a c) (*.f64 (/.f64 d c) (/.f64 (/.f64 1 c) (/.f64 1 b)))) (if (<=.f64 c -5311379928167671/265568996408383549344794103276234313664796558863515961599722069100201779930426121369581251132614642834444664743123250507673289668826353619704759989383293675971915635417696609515864064) (/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) (+.f64 (*.f64 c c) (*.f64 d d))) (if (<=.f64 c 891101683129335/8911016831293350036408538292383381493932086928219843614412485386522021810954448020519360959604241015192660760885926576778688876408936402340337229140082449586429677098359892480630613656731648) (+.f64 (/.f64 b d) (/.f64 a (*.f64 d (/.f64 d c)))) (if (<=.f64 c 579999999999999996711665664) (/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) (+.f64 (*.f64 c c) (*.f64 d d))) (if (<=.f64 c 1349999999999999971715283987748754631263657232169187180966406116373334667807881493835939840) (+.f64 (/.f64 b d) (*.f64 c (/.f64 a (*.f64 d d)))) (+.f64 (/.f64 a c) (*.f64 (/.f64 d c) (/.f64 (/.f64 1 c) (/.f64 1 b)))))))))
(if (<=.f64 c -650000000000000016861264570893712151161023451749154816) (+.f64 (/.f64 a c) (*.f64 (/.f64 d c) (/.f64 b c))) (if (<=.f64 c 13000000000) (+.f64 (/.f64 b d) (*.f64 (/.f64 c d) (/.f64 a d))) (if (<=.f64 c 2999999999999999949668352) (+.f64 (/.f64 a c) (/.f64 (*.f64 b d) (*.f64 c c))) (if (<=.f64 c 21000000000000000766183124920357663259632428563130840731039768744007748021361323319876386816) (+.f64 (/.f64 b d) (*.f64 c (/.f64 a (*.f64 d d)))) (+.f64 (/.f64 a c) (*.f64 (/.f64 d c) (/.f64 (/.f64 1 c) (/.f64 1 b))))))))
(if (<=.f64 c -109999999999999999254304354179779077410787928613847040) (+.f64 (/.f64 a c) (*.f64 (/.f64 d c) (/.f64 b c))) (if (<=.f64 c 1020000) (+.f64 (/.f64 b d) (*.f64 (/.f64 c d) (/.f64 a d))) (if (<=.f64 c 230000000000000000000) (+.f64 (/.f64 a c) (/.f64 (*.f64 b d) (*.f64 c c))) (if (<=.f64 c 1400000000000000020924685089139418325753884558196246711946926076256619649482009052597714944) (+.f64 (/.f64 b d) (*.f64 c (/.f64 a (*.f64 d d)))) (+.f64 (/.f64 a c) (*.f64 (/.f64 d c) (/.f64 b c)))))))
(if (<=.f64 c -91999999999999999376327278041269773834477176658853888) (+.f64 (/.f64 a c) (*.f64 (/.f64 d c) (/.f64 b c))) (if (<=.f64 c 550000000) (+.f64 (/.f64 b d) (*.f64 c (/.f64 a (*.f64 d d)))) (if (<=.f64 c 15000000000000000000000) (+.f64 (/.f64 a c) (/.f64 (*.f64 b d) (*.f64 c c))) (if (<=.f64 c 21000000000000000766183124920357663259632428563130840731039768744007748021361323319876386816) (+.f64 (/.f64 b d) (*.f64 c (/.f64 a (*.f64 d d)))) (+.f64 (/.f64 a c) (*.f64 (/.f64 d c) (/.f64 b c)))))))
(if (<=.f64 c -43999999999999999701721741671911630964315171445538816) (+.f64 (/.f64 a c) (*.f64 (/.f64 d c) (/.f64 b c))) (if (<=.f64 c 18000000000) (/.f64 b d) (if (<=.f64 c 579999999999999996711665664) (+.f64 (/.f64 a c) (/.f64 (*.f64 b d) (*.f64 c c))) (if (<=.f64 c 1349999999999999971715283987748754631263657232169187180966406116373334667807881493835939840) (/.f64 b d) (+.f64 (/.f64 a c) (*.f64 (/.f64 d c) (/.f64 b c)))))))
(if (<=.f64 c -43999999999999999701721741671911630964315171445538816) (+.f64 (/.f64 a c) (*.f64 (/.f64 d c) (/.f64 b c))) (if (<=.f64 c 500000000) (/.f64 b d) (if (<=.f64 c 6200000000000000000000) (+.f64 (/.f64 a c) (*.f64 (/.f64 d c) (/.f64 b c))) (if (<=.f64 c 320000000000000025459943955609759085809992364853411365100366079151613784070456356292536565760) (/.f64 b d) (+.f64 (/.f64 a c) (*.f64 (/.f64 d c) (/.f64 b c)))))))
(if (<=.f64 c -159999999999999998915351787897860476233873350711050240) (/.f64 a c) (if (<=.f64 c 21000000000000000766183124920357663259632428563130840731039768744007748021361323319876386816) (/.f64 b d) (/.f64 a c)))
(if (<=.f64 d -2400000000000000256200303112705797958930106242889195598992141035556963813309149876145566120563094830716644512943454667547477375797203624757796173409366126668323623039466353835692899075310837825536) (/.f64 a 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))) 100000000000000004827911520448877862495844246422343156393075429187162764617507655537214145823852994263659565935453370610499537728043164857800396298916132410948026391308085570960636368309306117879178753245974556315302310250472271728848176952226298724352) (/.f64 (*.f64 (/.f64 1 (hypot.f64 c d)) (+.f64 (*.f64 b d) (*.f64 a c))) (hypot.f64 c d)) (if (<=.f64 (/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) (+.f64 (*.f64 c c) (*.f64 d d))) +inf.0) (+.f64 (/.f64 b d) (/.f64 a (*.f64 d (/.f64 d c)))) (+.f64 (/.f64 a c) (/.f64 1 (*.f64 (/.f64 c d) (/.f64 c b))))))
(if (<=.f64 (/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) (+.f64 (*.f64 c c) (*.f64 d d))) 100000000000000004827911520448877862495844246422343156393075429187162764617507655537214145823852994263659565935453370610499537728043164857800396298916132410948026391308085570960636368309306117879178753245974556315302310250472271728848176952226298724352) (/.f64 (*.f64 (/.f64 1 (hypot.f64 c d)) (+.f64 (*.f64 a c) (*.f64 b d))) (hypot.f64 c d)) (if (<=.f64 (/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) (+.f64 (*.f64 c c) (*.f64 d d))) +inf.0) (+.f64 (/.f64 b d) (/.f64 a (*.f64 d (/.f64 d c)))) (+.f64 (/.f64 a c) (/.f64 1 (*.f64 (/.f64 c d) (/.f64 c b))))))
(if (<=.f64 (/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) (+.f64 (*.f64 c c) (*.f64 d d))) 100000000000000004827911520448877862495844246422343156393075429187162764617507655537214145823852994263659565935453370610499537728043164857800396298916132410948026391308085570960636368309306117879178753245974556315302310250472271728848176952226298724352) (*.f64 (/.f64 1 (hypot.f64 c d)) (/.f64 (+.f64 (*.f64 b d) (*.f64 a c)) (hypot.f64 c d))) (if (<=.f64 (/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) (+.f64 (*.f64 c c) (*.f64 d d))) +inf.0) (+.f64 (/.f64 b d) (/.f64 a (*.f64 d (/.f64 d c)))) (+.f64 (/.f64 a c) (/.f64 1 (*.f64 (/.f64 c d) (/.f64 c b))))))
(if (<=.f64 (/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) (+.f64 (*.f64 c c) (*.f64 d d))) 100000000000000004827911520448877862495844246422343156393075429187162764617507655537214145823852994263659565935453370610499537728043164857800396298916132410948026391308085570960636368309306117879178753245974556315302310250472271728848176952226298724352) (*.f64 (/.f64 1 (hypot.f64 c d)) (/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) (hypot.f64 c d))) (if (<=.f64 (/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) (+.f64 (*.f64 c c) (*.f64 d d))) +inf.0) (+.f64 (/.f64 b d) (/.f64 a (*.f64 d (/.f64 d c)))) (+.f64 (/.f64 a c) (/.f64 1 (*.f64 (/.f64 c d) (/.f64 c b))))))
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(if (<=.f64 c -380000000000000037493322057147543474971113067142702623836883887360778812299153002171946957271984832611285761287127659874389105573888) (/.f64 (-.f64 (*.f64 b (neg.f64 (/.f64 d c))) a) (hypot.f64 c d)) (if (<=.f64 c -5311379928167671/265568996408383549344794103276234313664796558863515961599722069100201779930426121369581251132614642834444664743123250507673289668826353619704759989383293675971915635417696609515864064) (/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) (+.f64 (*.f64 c c) (*.f64 d d))) (if (<=.f64 c 4455508415646675/4455508415646675018204269146191690746966043464109921807206242693261010905477224010259680479802120507596330380442963288389344438204468201170168614570041224793214838549179946240315306828365824) (+.f64 (/.f64 b d) (/.f64 a (*.f64 d (/.f64 d c)))) (if (<=.f64 c 180000000000000012012486656) (/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) (+.f64 (*.f64 c c) (*.f64 d d))) (if (<=.f64 c 449999999999999990571761329249584877087885744056395726988802038791111555935960497945313280000) (+.f64 (/.f64 b d) (*.f64 c (/.f64 a (*.f64 d d)))) (+.f64 (/.f64 a c) (*.f64 (/.f64 d c) (/.f64 (/.f64 1 c) (/.f64 1 b)))))))))
(if (<=.f64 c -349999999999999988909947351547550954834505077465146958178484425188094869493301191821220672595847427346507537634557365792420713725952) (+.f64 (/.f64 a c) (*.f64 (/.f64 d c) (/.f64 (/.f64 1 c) (/.f64 1 b)))) (if (<=.f64 c -5311379928167671/265568996408383549344794103276234313664796558863515961599722069100201779930426121369581251132614642834444664743123250507673289668826353619704759989383293675971915635417696609515864064) (/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) (+.f64 (*.f64 c c) (*.f64 d d))) (if (<=.f64 c 891101683129335/8911016831293350036408538292383381493932086928219843614412485386522021810954448020519360959604241015192660760885926576778688876408936402340337229140082449586429677098359892480630613656731648) (+.f64 (/.f64 b d) (/.f64 a (*.f64 d (/.f64 d c)))) (if (<=.f64 c 579999999999999996711665664) (/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) (+.f64 (*.f64 c c) (*.f64 d d))) (if (<=.f64 c 1349999999999999971715283987748754631263657232169187180966406116373334667807881493835939840) (+.f64 (/.f64 b d) (*.f64 c (/.f64 a (*.f64 d d)))) (+.f64 (/.f64 a c) (*.f64 (/.f64 d c) (/.f64 (/.f64 1 c) (/.f64 1 b)))))))))
(if (<=.f64 c -650000000000000016861264570893712151161023451749154816) (+.f64 (/.f64 a c) (*.f64 (/.f64 d c) (/.f64 b c))) (if (<=.f64 c 13000000000) (+.f64 (/.f64 b d) (*.f64 (/.f64 c d) (/.f64 a d))) (if (<=.f64 c 2999999999999999949668352) (+.f64 (/.f64 a c) (/.f64 (*.f64 b d) (*.f64 c c))) (if (<=.f64 c 21000000000000000766183124920357663259632428563130840731039768744007748021361323319876386816) (+.f64 (/.f64 b d) (*.f64 c (/.f64 a (*.f64 d d)))) (+.f64 (/.f64 a c) (*.f64 (/.f64 d c) (/.f64 (/.f64 1 c) (/.f64 1 b))))))))
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(if (or (<=.f64 c -43999999999999999701721741671911630964315171445538816) (not (or (<=.f64 c 500000000) (not (or (<=.f64 c 6200000000000000000000) (not (<=.f64 c 320000000000000025459943955609759085809992364853411365100366079151613784070456356292536565760))))))) (+.f64 (/.f64 a c) (*.f64 (/.f64 d c) (/.f64 b c))) (/.f64 b d))
(if (or (<=.f64 c -43999999999999999701721741671911630964315171445538816) (not (or (<=.f64 c 500000000) (and (not (<=.f64 c 6200000000000000000000)) (<=.f64 c 320000000000000025459943955609759085809992364853411365100366079151613784070456356292536565760))))) (+.f64 (/.f64 a c) (*.f64 (/.f64 d c) (/.f64 b c))) (/.f64 b d))
(if (<=.f64 c -159999999999999998915351787897860476233873350711050240) (/.f64 a c) (if (<=.f64 c 21000000000000000766183124920357663259632428563130840731039768744007748021361323319876386816) (/.f64 b d) (/.f64 a c)))
(if (<=.f64 d -2400000000000000256200303112705797958930106242889195598992141035556963813309149876145566120563094830716644512943454667547477375797203624757796173409366126668323623039466353835692899075310837825536) (/.f64 a d) (/.f64 a c))
(/.f64 a c)
Compiler

Compiled 941 to 442 computations (53% saved)

soundness2.2s (22.3%)

Rules
1560×log-prod
1560×log-prod
1444×times-frac
1440×times-frac
1340×fma-neg
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
017115
1364109
24372109
027202
1629190
017115
1364109
24372109
092328755
1262226623
040913000
1100712736
2389212736
027202
1629190
0100520584
1278919172
040913000
1100712736
2389212736
0100520584
1278919172
040913000
1100712736
2389212736
0100520584
1278919172
027242
1634238
093622109
1262920819
027202
1629190
061436
1126436
2212436
3359436
4746436
51906436
64905436
76534436
87469436
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
node limit
node limit
node limit
Compiler

Compiled 1107 to 421 computations (62% saved)

end1.0ms (0%)

preprocess274.0ms (2.8%)

Compiler

Compiled 1896 to 544 computations (71.3% saved)

Profiling

Loading profile data...