quad2p (problem 3.2.1, positive)

Time bar (total: 9.1s)

analyze312.0ms (3.4%)

Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%99.9%0.1%0%0%0%0
0%0%99.9%0.1%0%0%0%1
0%0%99.9%0.1%0%0%0%2
0%0%99.9%0.1%0%0%0%3
25%25%74.9%0.1%0%0%0%4
37.5%37.4%62.4%0.1%0%0%0%5
37.5%37.4%62.4%0.1%0%0%0%6
42.6%40.6%54.6%0.1%0%4.7%0%7
51.2%48.4%46%0.1%0%5.5%0%8
54.5%49.9%41.7%0.1%0%8.2%0%9
60.2%53.4%35.3%0.1%0%11.1%0%10
67.6%58.7%28.2%0.1%0%13%0%11
71.4%60.6%24.2%0.1%0%15.1%0%12
Compiler

Compiled 17 to 11 computations (35.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 202.0ms
Operation ival-neg, time spent: 142.0ms, 70.0% of total-time
Operation ival-mult, time spent: 19.0ms, 9.0% of total-time
Operation ival-sqrt, time spent: 17.0ms, 8.0% of total-time
Operation ival-div, time spent: 8.0ms, 4.0% of total-time
Operation ival-sub, time spent: 7.0ms, 3.0% of total-time
Operation ival-add, time spent: 7.0ms, 3.0% of total-time
Operation const, time spent: 1.0ms, 0.0% of total-time

sample2.5s (27.6%)

Results
811.0ms5156×256valid
310.0ms1124×256invalid
496.0ms1023×2048valid
147.0ms690×256infinite
321.0ms679×1024valid
98.0ms357×512valid
176.0ms350×4096valid
0.0ms256valid
Precisions
Click to see histograms. Total time spent on operations: 1.1s
Operation ival-sqrt, time spent: 298.0ms, 27.0% of total-time
Operation ival-mult, time spent: 278.0ms, 26.0% of total-time
Operation ival-div, time spent: 160.0ms, 15.0% of total-time
Operation ival-add, time spent: 145.0ms, 13.0% of total-time
Operation ival-sub, time spent: 97.0ms, 9.0% of total-time
Operation ival-neg, time spent: 88.0ms, 8.0% of total-time
Operation const, time spent: 20.0ms, 2.0% of total-time
Bogosity

preprocess489.0ms (5.4%)

Algorithm
egg-herbie
Rules
2006×fma-neg
1016×div-sub
790×times-frac
528×fma-define
446×associate-/r*
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
960-0-(sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))
680-0-(+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))))
180-2(-3.5499681114732306e-304 2.0570686814918263e+93 -1.682803102844611e+83)(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) a)
60-0-(-.f64 (*.f64 b_2 b_2) (*.f64 a c))
00-0-c
00-0-(*.f64 a c)
00-0-b_2
00-0-(neg.f64 b_2)
00-0-a
00-0-(*.f64 b_2 b_2)
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
055631
1136579
2281571
3777571
42087571
53954571
64998571
75251571
85344571
95376571
105392571
115392571
Stop Event
saturated
Calls
Call 1
Inputs
(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) a)
(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) a)
(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 (neg.f64 a) c)))) (neg.f64 a))
(/.f64 (+.f64 (neg.f64 (neg.f64 b_2)) (sqrt.f64 (-.f64 (*.f64 (neg.f64 b_2) (neg.f64 b_2)) (*.f64 a c)))) a)
(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a (neg.f64 c))))) a)
(neg.f64 (/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 (neg.f64 a) c)))) (neg.f64 a)))
(neg.f64 (/.f64 (+.f64 (neg.f64 (neg.f64 b_2)) (sqrt.f64 (-.f64 (*.f64 (neg.f64 b_2) (neg.f64 b_2)) (*.f64 a c)))) a))
(neg.f64 (/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a (neg.f64 c))))) a))
(/.f64 (+.f64 (neg.f64 a) (sqrt.f64 (-.f64 (*.f64 a a) (*.f64 b_2 c)))) b_2)
(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a)))) c)
(/.f64 (+.f64 (neg.f64 c) (sqrt.f64 (-.f64 (*.f64 c c) (*.f64 a b_2)))) a)
Outputs
(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) a)
(/.f64 (-.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) b_2) a)
(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) a)
(/.f64 (-.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) b_2) a)
(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 (neg.f64 a) c)))) (neg.f64 a))
(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (+.f64 (*.f64 b_2 b_2) (*.f64 a c)))) (neg.f64 a))
(/.f64 (-.f64 (sqrt.f64 (fma.f64 b_2 b_2 (*.f64 a c))) b_2) (neg.f64 a))
(/.f64 (-.f64 b_2 (sqrt.f64 (fma.f64 b_2 b_2 (*.f64 a c)))) a)
(/.f64 (+.f64 (neg.f64 (neg.f64 b_2)) (sqrt.f64 (-.f64 (*.f64 (neg.f64 b_2) (neg.f64 b_2)) (*.f64 a c)))) a)
(/.f64 (+.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) a)
(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a (neg.f64 c))))) a)
(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (+.f64 (*.f64 b_2 b_2) (*.f64 a c)))) a)
(/.f64 (-.f64 (sqrt.f64 (fma.f64 b_2 b_2 (*.f64 a c))) b_2) a)
(neg.f64 (/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 (neg.f64 a) c)))) (neg.f64 a)))
(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (+.f64 (*.f64 b_2 b_2) (*.f64 a c)))) a)
(/.f64 (-.f64 (sqrt.f64 (fma.f64 b_2 b_2 (*.f64 a c))) b_2) a)
(neg.f64 (/.f64 (+.f64 (neg.f64 (neg.f64 b_2)) (sqrt.f64 (-.f64 (*.f64 (neg.f64 b_2) (neg.f64 b_2)) (*.f64 a c)))) a))
(/.f64 (+.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) (neg.f64 a))
(neg.f64 (/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a (neg.f64 c))))) a))
(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (+.f64 (*.f64 b_2 b_2) (*.f64 a c)))) (neg.f64 a))
(/.f64 (-.f64 (sqrt.f64 (fma.f64 b_2 b_2 (*.f64 a c))) b_2) (neg.f64 a))
(/.f64 (-.f64 b_2 (sqrt.f64 (fma.f64 b_2 b_2 (*.f64 a c)))) a)
(/.f64 (+.f64 (neg.f64 a) (sqrt.f64 (-.f64 (*.f64 a a) (*.f64 b_2 c)))) b_2)
(/.f64 (-.f64 (sqrt.f64 (fma.f64 a a (*.f64 (neg.f64 b_2) c))) a) b_2)
(/.f64 (-.f64 (sqrt.f64 (-.f64 (*.f64 a a) (*.f64 b_2 c))) a) b_2)
(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a)))) c)
(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) c)
(/.f64 (-.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) b_2) c)
(/.f64 (+.f64 (neg.f64 c) (sqrt.f64 (-.f64 (*.f64 c c) (*.f64 a b_2)))) a)
(/.f64 (+.f64 (neg.f64 c) (sqrt.f64 (-.f64 (*.f64 c c) (*.f64 b_2 a)))) a)
(/.f64 (-.f64 (sqrt.f64 (-.f64 (*.f64 c c) (*.f64 b_2 a))) c) a)
(/.f64 (-.f64 (sqrt.f64 (fma.f64 (neg.f64 b_2) a (*.f64 c c))) c) a)
Compiler

Compiled 124 to 32 computations (74.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 57.0ms
Operation ival-mult, time spent: 17.0ms, 30.0% of total-time
Operation ival-sqrt, time spent: 13.0ms, 23.0% of total-time
Operation ival-div, time spent: 9.0ms, 16.0% of total-time
Operation ival-sub, time spent: 6.0ms, 11.0% of total-time
Operation ival-add, time spent: 6.0ms, 11.0% of total-time
Operation ival-neg, time spent: 5.0ms, 9.0% of total-time
Operation const, time spent: 1.0ms, 2.0% of total-time

eval2.0ms (0%)

Compiler

Compiled 15 to 9 computations (40% saved)

prune1.0ms (0%)

Alt Table
Click to see full alt table
StatusAccuracyProgram
49.3%
(/.f64 (-.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) b_2) a)
Compiler

Compiled 15 to 9 computations (40% saved)

localize69.0ms (0.8%)

Localize:

Found 4 expressions with local error:

NewAccuracyProgram
98.1%
(-.f64 (*.f64 b_2 b_2) (*.f64 a c))
94.5%
(/.f64 (-.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) b_2) a)
75.7%
(-.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) b_2)
65.0%
(sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))
Compiler

Compiled 50 to 10 computations (80% saved)

Precisions
Click to see histograms. Total time spent on operations: 24.0ms
Operation ival-sqrt, time spent: 7.0ms, 30.0% of total-time
Operation ival-mult, time spent: 7.0ms, 30.0% of total-time
Operation ival-sub, time spent: 6.0ms, 25.0% of total-time
Operation ival-div, time spent: 4.0ms, 17.0% of total-time
Operation const, time spent: 1.0ms, 4.0% of total-time

series46.0ms (0.5%)

Counts
4 → 144
Calls

36 calls:

TimeVariablePointExpression
5.0ms
c
@0
(/.f64 (-.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) b_2) a)
3.0ms
c
@inf
(sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))
2.0ms
a
@-inf
(/.f64 (-.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) b_2) a)
2.0ms
a
@inf
(sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))
2.0ms
a
@-inf
(sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))

rewrite274.0ms (3%)

Algorithm
batch-egg-rewrite
Rules
1402×fma-define
817×log1p-expm1-u
817×expm1-log1p-u
674×fma-neg
388×expm1-undefine
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
016151
1228151
23352145
Stop Event
node limit
Counts
4 → 339
Calls
Call 1
Inputs
(sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))
(-.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) b_2)
(/.f64 (-.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) b_2) a)
(-.f64 (*.f64 b_2 b_2) (*.f64 a c))
Outputs
(-.f64 (exp.f64 (log1p.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 c (neg.f64 a)))))) 1)
(*.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 c (neg.f64 a)))) 1)
(*.f64 1 (hypot.f64 b_2 (sqrt.f64 (*.f64 c (neg.f64 a)))))
(*.f64 (cbrt.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 c (neg.f64 a))))) (cbrt.f64 (-.f64 (pow.f64 b_2 2) (*.f64 a c))))
(*.f64 (cbrt.f64 (-.f64 (pow.f64 b_2 2) (*.f64 a c))) (cbrt.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 c (neg.f64 a))))))
(*.f64 (pow.f64 (-.f64 (pow.f64 b_2 2) (*.f64 a c)) 1/4) (pow.f64 (-.f64 (pow.f64 b_2 2) (*.f64 a c)) 1/4))
(*.f64 (pow.f64 1 1/2) (hypot.f64 b_2 (sqrt.f64 (*.f64 c (neg.f64 a)))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (-.f64 (pow.f64 b_2 2) (*.f64 a c))) 2) 1/2) (pow.f64 (cbrt.f64 (-.f64 (pow.f64 b_2 2) (*.f64 a c))) 1/2))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (-.f64 (pow.f64 b_2 2) (*.f64 a c))) 2)) (sqrt.f64 (cbrt.f64 (-.f64 (pow.f64 b_2 2) (*.f64 a c)))))
(/.f64 (sqrt.f64 (-.f64 (pow.f64 b_2 4) (pow.f64 (*.f64 a c) 2))) (hypot.f64 b_2 (sqrt.f64 (*.f64 a c))))
(/.f64 (sqrt.f64 (-.f64 (pow.f64 b_2 6) (pow.f64 (*.f64 a c) 3))) (sqrt.f64 (fma.f64 (*.f64 a c) (fma.f64 a c (pow.f64 b_2 2)) (pow.f64 b_2 4))))
(pow.f64 (-.f64 (pow.f64 b_2 2) (*.f64 a c)) 1/2)
(pow.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 c (neg.f64 a)))) 1)
(pow.f64 (cbrt.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 c (neg.f64 a))))) 3)
(pow.f64 (pow.f64 (-.f64 (pow.f64 b_2 2) (*.f64 a c)) 3/2) 1/3)
(pow.f64 (pow.f64 (-.f64 (pow.f64 b_2 2) (*.f64 a c)) 1/4) 2)
(fabs.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 c (neg.f64 a)))))
(log.f64 (exp.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 c (neg.f64 a))))))
(log.f64 (+.f64 1 (expm1.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 c (neg.f64 a)))))))
(cbrt.f64 (pow.f64 (-.f64 (pow.f64 b_2 2) (*.f64 a c)) 3/2))
(expm1.f64 (log1p.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 c (neg.f64 a))))))
(hypot.f64 b_2 (sqrt.f64 (*.f64 c (neg.f64 a))))
(hypot.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 c (neg.f64 a)))) (sqrt.f64 (fma.f64 a (neg.f64 c) (*.f64 a c))))
(hypot.f64 (sqrt.f64 (*.f64 c (neg.f64 a))) b_2)
(hypot.f64 (sqrt.f64 (fma.f64 a (neg.f64 c) (*.f64 a c))) (hypot.f64 b_2 (sqrt.f64 (*.f64 c (neg.f64 a)))))
(log1p.f64 (expm1.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 c (neg.f64 a))))))
(exp.f64 (log.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 c (neg.f64 a))))))
(exp.f64 (*.f64 (log.f64 (-.f64 (pow.f64 b_2 2) (*.f64 a c))) 1/2))
(exp.f64 (*.f64 (log.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 c (neg.f64 a))))) 1))
(+.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 c (neg.f64 a)))) (neg.f64 b_2))
(+.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 c (neg.f64 a)))) (*.f64 (neg.f64 b_2) 1))
(+.f64 (-.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 c (neg.f64 a)))) b_2) (fma.f64 (neg.f64 b_2) 1 b_2))
(+.f64 (-.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 c (neg.f64 a)))) b_2) (fma.f64 (neg.f64 (cbrt.f64 b_2)) (pow.f64 (cbrt.f64 b_2) 2) b_2))
(+.f64 (-.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 c (neg.f64 a)))) b_2) (+.f64 (neg.f64 b_2) b_2))
(+.f64 (neg.f64 b_2) (hypot.f64 b_2 (sqrt.f64 (*.f64 c (neg.f64 a)))))
(*.f64 (-.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 c (neg.f64 a)))) b_2) 1)
(*.f64 1 (-.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 c (neg.f64 a)))) b_2))
(*.f64 (cbrt.f64 (-.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 c (neg.f64 a)))) b_2)) (pow.f64 (cbrt.f64 (-.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 c (neg.f64 a)))) b_2)) 2))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 c (neg.f64 a)))) b_2)) 2) (cbrt.f64 (-.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 c (neg.f64 a)))) b_2)))
(*.f64 (sqrt.f64 (-.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 c (neg.f64 a)))) b_2)) (sqrt.f64 (-.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 c (neg.f64 a)))) b_2)))
(*.f64 (-.f64 (pow.f64 (-.f64 (pow.f64 b_2 2) (*.f64 a c)) 3/2) (pow.f64 b_2 3)) (/.f64 1 (fma.f64 b_2 (+.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 c (neg.f64 a))))) (-.f64 (pow.f64 b_2 2) (*.f64 a c)))))
(*.f64 (-.f64 (pow.f64 b_2 2) (fma.f64 a c (pow.f64 b_2 2))) (/.f64 1 (+.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 c (neg.f64 a)))))))
(*.f64 (+.f64 (pow.f64 (-.f64 (pow.f64 b_2 2) (*.f64 a c)) 1/4) (sqrt.f64 b_2)) (-.f64 (pow.f64 (-.f64 (pow.f64 b_2 2) (*.f64 a c)) 1/4) (sqrt.f64 b_2)))
(/.f64 1 (/.f64 (fma.f64 b_2 (+.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 c (neg.f64 a))))) (-.f64 (pow.f64 b_2 2) (*.f64 a c))) (-.f64 (pow.f64 (-.f64 (pow.f64 b_2 2) (*.f64 a c)) 3/2) (pow.f64 b_2 3))))
(/.f64 1 (/.f64 (+.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 c (neg.f64 a))))) (-.f64 (pow.f64 b_2 2) (fma.f64 a c (pow.f64 b_2 2)))))
(/.f64 (-.f64 (pow.f64 (-.f64 (pow.f64 b_2 2) (*.f64 a c)) 3/2) (pow.f64 b_2 3)) (fma.f64 b_2 (+.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 c (neg.f64 a))))) (-.f64 (pow.f64 b_2 2) (*.f64 a c))))
(/.f64 (-.f64 (pow.f64 b_2 2) (fma.f64 a c (pow.f64 b_2 2))) (+.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 c (neg.f64 a))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (-.f64 (pow.f64 b_2 2) (*.f64 a c)) 3/2) (pow.f64 b_2 3))) (neg.f64 (fma.f64 b_2 (+.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 c (neg.f64 a))))) (-.f64 (pow.f64 b_2 2) (*.f64 a c)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 b_2 2) (fma.f64 a c (pow.f64 b_2 2)))) (neg.f64 (+.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 c (neg.f64 a)))))))
(/.f64 (+.f64 (pow.f64 (-.f64 (pow.f64 b_2 2) (*.f64 a c)) 3/2) (pow.f64 (neg.f64 b_2) 3)) (+.f64 (-.f64 (pow.f64 b_2 2) (*.f64 a c)) (-.f64 (*.f64 (neg.f64 b_2) (neg.f64 b_2)) (*.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 c (neg.f64 a)))) (neg.f64 b_2)))))
(/.f64 (-.f64 (-.f64 (pow.f64 b_2 2) (*.f64 a c)) (*.f64 (neg.f64 b_2) (neg.f64 b_2))) (-.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 c (neg.f64 a)))) (neg.f64 b_2)))
(pow.f64 (-.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 c (neg.f64 a)))) b_2) 1)
(pow.f64 (cbrt.f64 (-.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 c (neg.f64 a)))) b_2)) 3)
(pow.f64 (pow.f64 (-.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 c (neg.f64 a)))) b_2) 3) 1/3)
(pow.f64 (sqrt.f64 (-.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 c (neg.f64 a)))) b_2)) 2)
(sqrt.f64 (pow.f64 (-.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 c (neg.f64 a)))) b_2) 2))
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(fma.f64 (pow.f64 (cbrt.f64 b_2) 2) (cbrt.f64 (pow.f64 b_2 4)) (*.f64 (*.f64 c (neg.f64 a)) 1))
(fma.f64 (pow.f64 (cbrt.f64 b_2) 2) (cbrt.f64 (pow.f64 b_2 4)) (fma.f64 a (neg.f64 c) (fma.f64 a (neg.f64 c) (*.f64 a c))))
(fma.f64 (pow.f64 (cbrt.f64 b_2) 2) (cbrt.f64 (pow.f64 b_2 4)) (neg.f64 (-.f64 (*.f64 a c) (fma.f64 a (neg.f64 c) (*.f64 a c)))))
(fma.f64 (pow.f64 (cbrt.f64 b_2) 2) (*.f64 (cbrt.f64 b_2) b_2) (*.f64 c (neg.f64 a)))
(fma.f64 (pow.f64 (cbrt.f64 b_2) 2) (*.f64 (cbrt.f64 b_2) b_2) (*.f64 (*.f64 c (neg.f64 a)) 1))
(fma.f64 (pow.f64 (cbrt.f64 b_2) 2) (*.f64 (cbrt.f64 b_2) b_2) (fma.f64 a (neg.f64 c) (fma.f64 a (neg.f64 c) (*.f64 a c))))
(fma.f64 (pow.f64 (cbrt.f64 b_2) 2) (*.f64 (cbrt.f64 b_2) b_2) (neg.f64 (-.f64 (*.f64 a c) (fma.f64 a (neg.f64 c) (*.f64 a c)))))
(fma.f64 (cbrt.f64 (pow.f64 b_2 4)) (pow.f64 (cbrt.f64 b_2) 2) (*.f64 c (neg.f64 a)))
(fma.f64 (cbrt.f64 (pow.f64 b_2 4)) (pow.f64 (cbrt.f64 b_2) 2) (*.f64 (*.f64 c (neg.f64 a)) 1))
(fma.f64 (cbrt.f64 (pow.f64 b_2 4)) (pow.f64 (cbrt.f64 b_2) 2) (fma.f64 a (neg.f64 c) (fma.f64 a (neg.f64 c) (*.f64 a c))))
(fma.f64 (cbrt.f64 (pow.f64 b_2 4)) (pow.f64 (cbrt.f64 b_2) 2) (neg.f64 (-.f64 (*.f64 a c) (fma.f64 a (neg.f64 c) (*.f64 a c)))))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 a c)) 2) (neg.f64 (cbrt.f64 (*.f64 a c))) (pow.f64 b_2 2))
(fma.f64 (pow.f64 (-.f64 (pow.f64 b_2 2) (*.f64 a c)) 1/4) (*.f64 (pow.f64 (-.f64 (pow.f64 b_2 2) (*.f64 a c)) 1/4) (hypot.f64 b_2 (sqrt.f64 (*.f64 c (neg.f64 a))))) (fma.f64 a (neg.f64 c) (*.f64 a c)))
(fma.f64 (pow.f64 (-.f64 (pow.f64 b_2 2) (*.f64 a c)) 1/4) (*.f64 (pow.f64 (-.f64 (pow.f64 b_2 2) (*.f64 a c)) 1/4) (hypot.f64 b_2 (sqrt.f64 (*.f64 c (neg.f64 a))))) (fma.f64 (*.f64 c (neg.f64 a)) 1 (*.f64 a c)))
(fma.f64 (pow.f64 (-.f64 (pow.f64 b_2 2) (*.f64 a c)) 1/4) (*.f64 (pow.f64 (-.f64 (pow.f64 b_2 2) (*.f64 a c)) 1/4) (hypot.f64 b_2 (sqrt.f64 (*.f64 c (neg.f64 a))))) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 a c))) (pow.f64 (cbrt.f64 (*.f64 a c)) 2) (*.f64 a c)))
(fma.f64 (pow.f64 (-.f64 (pow.f64 b_2 2) (*.f64 a c)) 1/4) (*.f64 (pow.f64 (-.f64 (pow.f64 b_2 2) (*.f64 a c)) 1/4) (hypot.f64 b_2 (sqrt.f64 (*.f64 c (neg.f64 a))))) (*.f64 (fma.f64 a (neg.f64 c) (*.f64 a c)) 1))
(fma.f64 (pow.f64 (-.f64 (pow.f64 b_2 2) (*.f64 a c)) 1/4) (*.f64 (pow.f64 (-.f64 (pow.f64 b_2 2) (*.f64 a c)) 1/4) (hypot.f64 b_2 (sqrt.f64 (*.f64 c (neg.f64 a))))) (+.f64 (fma.f64 a (neg.f64 c) (*.f64 a c)) (fma.f64 a (neg.f64 c) (*.f64 a c))))
(fma.f64 (sqrt.f64 (*.f64 a c)) (neg.f64 (sqrt.f64 (*.f64 a c))) (pow.f64 b_2 2))
(fma.f64 (sqrt.f64 b_2) (*.f64 (sqrt.f64 b_2) b_2) (*.f64 c (neg.f64 a)))
(fma.f64 (sqrt.f64 b_2) (*.f64 (sqrt.f64 b_2) b_2) (*.f64 (*.f64 c (neg.f64 a)) 1))
(fma.f64 (sqrt.f64 b_2) (*.f64 (sqrt.f64 b_2) b_2) (fma.f64 a (neg.f64 c) (fma.f64 a (neg.f64 c) (*.f64 a c))))
(fma.f64 (sqrt.f64 b_2) (*.f64 (sqrt.f64 b_2) b_2) (neg.f64 (-.f64 (*.f64 a c) (fma.f64 a (neg.f64 c) (*.f64 a c)))))
(fma.f64 (neg.f64 a) c (pow.f64 b_2 2))
(fma.f64 (-.f64 (pow.f64 b_2 6) (pow.f64 (*.f64 a c) 3)) (/.f64 1 (fma.f64 (*.f64 a c) (fma.f64 a c (pow.f64 b_2 2)) (pow.f64 b_2 4))) (fma.f64 a (neg.f64 c) (*.f64 a c)))
(fma.f64 (-.f64 (pow.f64 b_2 6) (pow.f64 (*.f64 a c) 3)) (/.f64 1 (fma.f64 (*.f64 a c) (fma.f64 a c (pow.f64 b_2 2)) (pow.f64 b_2 4))) (fma.f64 (*.f64 c (neg.f64 a)) 1 (*.f64 a c)))
(fma.f64 (-.f64 (pow.f64 b_2 6) (pow.f64 (*.f64 a c) 3)) (/.f64 1 (fma.f64 (*.f64 a c) (fma.f64 a c (pow.f64 b_2 2)) (pow.f64 b_2 4))) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 a c))) (pow.f64 (cbrt.f64 (*.f64 a c)) 2) (*.f64 a c)))
(fma.f64 (-.f64 (pow.f64 b_2 6) (pow.f64 (*.f64 a c) 3)) (/.f64 1 (fma.f64 (*.f64 a c) (fma.f64 a c (pow.f64 b_2 2)) (pow.f64 b_2 4))) (*.f64 (fma.f64 a (neg.f64 c) (*.f64 a c)) 1))
(fma.f64 (-.f64 (pow.f64 b_2 6) (pow.f64 (*.f64 a c) 3)) (/.f64 1 (fma.f64 (*.f64 a c) (fma.f64 a c (pow.f64 b_2 2)) (pow.f64 b_2 4))) (+.f64 (fma.f64 a (neg.f64 c) (*.f64 a c)) (fma.f64 a (neg.f64 c) (*.f64 a c))))
(fma.f64 (-.f64 (pow.f64 b_2 4) (pow.f64 (*.f64 a c) 2)) (/.f64 1 (fma.f64 a c (pow.f64 b_2 2))) (fma.f64 a (neg.f64 c) (*.f64 a c)))
(fma.f64 (-.f64 (pow.f64 b_2 4) (pow.f64 (*.f64 a c) 2)) (/.f64 1 (fma.f64 a c (pow.f64 b_2 2))) (fma.f64 (*.f64 c (neg.f64 a)) 1 (*.f64 a c)))
(fma.f64 (-.f64 (pow.f64 b_2 4) (pow.f64 (*.f64 a c) 2)) (/.f64 1 (fma.f64 a c (pow.f64 b_2 2))) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 a c))) (pow.f64 (cbrt.f64 (*.f64 a c)) 2) (*.f64 a c)))
(fma.f64 (-.f64 (pow.f64 b_2 4) (pow.f64 (*.f64 a c) 2)) (/.f64 1 (fma.f64 a c (pow.f64 b_2 2))) (*.f64 (fma.f64 a (neg.f64 c) (*.f64 a c)) 1))
(fma.f64 (-.f64 (pow.f64 b_2 4) (pow.f64 (*.f64 a c) 2)) (/.f64 1 (fma.f64 a c (pow.f64 b_2 2))) (+.f64 (fma.f64 a (neg.f64 c) (*.f64 a c)) (fma.f64 a (neg.f64 c) (*.f64 a c))))
(fma.f64 (neg.f64 (sqrt.f64 (*.f64 a c))) (sqrt.f64 (*.f64 a c)) (pow.f64 b_2 2))
(fma.f64 -1 (*.f64 a c) (pow.f64 b_2 2))
(fma.f64 (*.f64 (cbrt.f64 (*.f64 c (neg.f64 a))) (cbrt.f64 (*.f64 c (neg.f64 a)))) (cbrt.f64 (*.f64 c (neg.f64 a))) (pow.f64 b_2 2))
(fma.f64 (*.f64 (cbrt.f64 (fma.f64 a (neg.f64 c) (*.f64 a c))) (cbrt.f64 (fma.f64 a (neg.f64 c) (*.f64 a c)))) (cbrt.f64 (fma.f64 a (neg.f64 c) (*.f64 a c))) (-.f64 (pow.f64 b_2 2) (*.f64 a c)))
(fma.f64 (*.f64 b_2 (sqrt.f64 b_2)) (sqrt.f64 b_2) (*.f64 c (neg.f64 a)))
(fma.f64 (*.f64 b_2 (sqrt.f64 b_2)) (sqrt.f64 b_2) (*.f64 (*.f64 c (neg.f64 a)) 1))
(fma.f64 (*.f64 b_2 (sqrt.f64 b_2)) (sqrt.f64 b_2) (fma.f64 a (neg.f64 c) (fma.f64 a (neg.f64 c) (*.f64 a c))))
(fma.f64 (*.f64 b_2 (sqrt.f64 b_2)) (sqrt.f64 b_2) (neg.f64 (-.f64 (*.f64 a c) (fma.f64 a (neg.f64 c) (*.f64 a c)))))
(fma.f64 (*.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 c (neg.f64 a)))) (pow.f64 (-.f64 (pow.f64 b_2 2) (*.f64 a c)) 1/4)) (pow.f64 (-.f64 (pow.f64 b_2 2) (*.f64 a c)) 1/4) (fma.f64 a (neg.f64 c) (*.f64 a c)))
(fma.f64 (*.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 c (neg.f64 a)))) (pow.f64 (-.f64 (pow.f64 b_2 2) (*.f64 a c)) 1/4)) (pow.f64 (-.f64 (pow.f64 b_2 2) (*.f64 a c)) 1/4) (fma.f64 (*.f64 c (neg.f64 a)) 1 (*.f64 a c)))
(fma.f64 (*.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 c (neg.f64 a)))) (pow.f64 (-.f64 (pow.f64 b_2 2) (*.f64 a c)) 1/4)) (pow.f64 (-.f64 (pow.f64 b_2 2) (*.f64 a c)) 1/4) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 a c))) (pow.f64 (cbrt.f64 (*.f64 a c)) 2) (*.f64 a c)))
(fma.f64 (*.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 c (neg.f64 a)))) (pow.f64 (-.f64 (pow.f64 b_2 2) (*.f64 a c)) 1/4)) (pow.f64 (-.f64 (pow.f64 b_2 2) (*.f64 a c)) 1/4) (*.f64 (fma.f64 a (neg.f64 c) (*.f64 a c)) 1))
(fma.f64 (*.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 c (neg.f64 a)))) (pow.f64 (-.f64 (pow.f64 b_2 2) (*.f64 a c)) 1/4)) (pow.f64 (-.f64 (pow.f64 b_2 2) (*.f64 a c)) 1/4) (+.f64 (fma.f64 a (neg.f64 c) (*.f64 a c)) (fma.f64 a (neg.f64 c) (*.f64 a c))))
(fma.f64 (sqrt.f64 (*.f64 c (neg.f64 a))) (sqrt.f64 (*.f64 c (neg.f64 a))) (pow.f64 b_2 2))
(fma.f64 (sqrt.f64 (fma.f64 a (neg.f64 c) (*.f64 a c))) (sqrt.f64 (fma.f64 a (neg.f64 c) (*.f64 a c))) (-.f64 (pow.f64 b_2 2) (*.f64 a c)))
(fma.f64 (+.f64 b_2 (sqrt.f64 (*.f64 a c))) (-.f64 b_2 (sqrt.f64 (*.f64 a c))) (fma.f64 a (neg.f64 c) (*.f64 a c)))
(fma.f64 (+.f64 b_2 (sqrt.f64 (*.f64 a c))) (-.f64 b_2 (sqrt.f64 (*.f64 a c))) (fma.f64 (*.f64 c (neg.f64 a)) 1 (*.f64 a c)))
(fma.f64 (+.f64 b_2 (sqrt.f64 (*.f64 a c))) (-.f64 b_2 (sqrt.f64 (*.f64 a c))) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 a c))) (pow.f64 (cbrt.f64 (*.f64 a c)) 2) (*.f64 a c)))
(fma.f64 (+.f64 b_2 (sqrt.f64 (*.f64 a c))) (-.f64 b_2 (sqrt.f64 (*.f64 a c))) (*.f64 (fma.f64 a (neg.f64 c) (*.f64 a c)) 1))
(fma.f64 (+.f64 b_2 (sqrt.f64 (*.f64 a c))) (-.f64 b_2 (sqrt.f64 (*.f64 a c))) (+.f64 (fma.f64 a (neg.f64 c) (*.f64 a c)) (fma.f64 a (neg.f64 c) (*.f64 a c))))
(fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (*.f64 a c)) 2)) (cbrt.f64 (*.f64 a c)) (pow.f64 b_2 2))
(fma.f64 (*.f64 (neg.f64 a) 1) c (pow.f64 b_2 2))
(fma.f64 (*.f64 (neg.f64 a) (pow.f64 (cbrt.f64 c) 2)) (cbrt.f64 c) (pow.f64 b_2 2))
(fma.f64 (*.f64 (neg.f64 a) (sqrt.f64 c)) (sqrt.f64 c) (pow.f64 b_2 2))
(fma.f64 (*.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 c (neg.f64 a)))) (cbrt.f64 (-.f64 (pow.f64 b_2 2) (*.f64 a c)))) (cbrt.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 c (neg.f64 a))))) (fma.f64 a (neg.f64 c) (*.f64 a c)))
(fma.f64 (*.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 c (neg.f64 a)))) (cbrt.f64 (-.f64 (pow.f64 b_2 2) (*.f64 a c)))) (cbrt.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 c (neg.f64 a))))) (fma.f64 (*.f64 c (neg.f64 a)) 1 (*.f64 a c)))
(fma.f64 (*.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 c (neg.f64 a)))) (cbrt.f64 (-.f64 (pow.f64 b_2 2) (*.f64 a c)))) (cbrt.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 c (neg.f64 a))))) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 a c))) (pow.f64 (cbrt.f64 (*.f64 a c)) 2) (*.f64 a c)))
(fma.f64 (*.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 c (neg.f64 a)))) (cbrt.f64 (-.f64 (pow.f64 b_2 2) (*.f64 a c)))) (cbrt.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 c (neg.f64 a))))) (*.f64 (fma.f64 a (neg.f64 c) (*.f64 a c)) 1))
(fma.f64 (*.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 c (neg.f64 a)))) (cbrt.f64 (-.f64 (pow.f64 b_2 2) (*.f64 a c)))) (cbrt.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 c (neg.f64 a))))) (+.f64 (fma.f64 a (neg.f64 c) (*.f64 a c)) (fma.f64 a (neg.f64 c) (*.f64 a c))))
(fma.f64 (*.f64 b_2 (pow.f64 (cbrt.f64 b_2) 2)) (cbrt.f64 b_2) (*.f64 c (neg.f64 a)))
(fma.f64 (*.f64 b_2 (pow.f64 (cbrt.f64 b_2) 2)) (cbrt.f64 b_2) (*.f64 (*.f64 c (neg.f64 a)) 1))
(fma.f64 (*.f64 b_2 (pow.f64 (cbrt.f64 b_2) 2)) (cbrt.f64 b_2) (fma.f64 a (neg.f64 c) (fma.f64 a (neg.f64 c) (*.f64 a c))))
(fma.f64 (*.f64 b_2 (pow.f64 (cbrt.f64 b_2) 2)) (cbrt.f64 b_2) (neg.f64 (-.f64 (*.f64 a c) (fma.f64 a (neg.f64 c) (*.f64 a c)))))

eval164.0ms (1.8%)

Compiler

Compiled 11629 to 5330 computations (54.2% saved)

prune94.0ms (1%)

Pruning

21 alts after pruning (20 fresh and 1 done)

PrunedKeptTotal
New46320483
Fresh000
Picked011
Done000
Total46321484
Accuracy
92.8%
Counts
484 → 21
Alt Table
Click to see full alt table
StatusAccuracyProgram
25.8%
(fma.f64 (/.f64 (pow.f64 (-.f64 (pow.f64 b_2 2) (*.f64 a c)) 1/4) (sqrt.f64 a)) (/.f64 (pow.f64 (-.f64 (pow.f64 b_2 2) (*.f64 a c)) 1/4) (sqrt.f64 a)) (neg.f64 (/.f64 b_2 a)))
50.5%
(pow.f64 (/.f64 a (-.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 c (neg.f64 a)))) b_2)) -1)
49.9%
(pow.f64 (cbrt.f64 (/.f64 (-.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 c (neg.f64 a)))) b_2) a)) 3)
30.3%
(/.f64 (/.f64 (-.f64 (-.f64 (pow.f64 b_2 2) (*.f64 a c)) (*.f64 (neg.f64 b_2) (neg.f64 b_2))) (-.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 c (neg.f64 a)))) (neg.f64 b_2))) a)
48.7%
(/.f64 (-.f64 (pow.f64 (pow.f64 (-.f64 (pow.f64 b_2 2) (*.f64 a c)) 1/4) 2) b_2) a)
49.3%
(/.f64 (-.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) b_2) a)
46.0%
(/.f64 (-.f64 (sqrt.f64 (*.f64 a (-.f64 (/.f64 (pow.f64 b_2 2) a) c))) b_2) a)
34.9%
(/.f64 (-.f64 (sqrt.f64 (*.f64 -1 (*.f64 a c))) b_2) a)
36.5%
(/.f64 (-.f64 (cbrt.f64 (pow.f64 (-.f64 (pow.f64 b_2 2) (*.f64 a c)) 3/2)) b_2) a)
11.2%
(/.f64 (-.f64 b_2 b_2) a)
27.2%
(/.f64 (*.f64 a (+.f64 (*.f64 -1/2 (/.f64 c b_2)) (*.f64 -1/8 (/.f64 (*.f64 a (pow.f64 c 2)) (pow.f64 b_2 3))))) a)
31.5%
(/.f64 (*.f64 -1/2 (/.f64 (*.f64 a c) b_2)) a)
29.0%
(/.f64 (*.f64 -2 b_2) a)
47.8%
(/.f64 (exp.f64 (log.f64 (-.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 c (neg.f64 a)))) b_2))) a)
49.9%
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 c (neg.f64 a)))) b_2) a)) 2) (cbrt.f64 (/.f64 (-.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 c (neg.f64 a)))) b_2) a)))
49.8%
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 a) 2)) (/.f64 (-.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 c (neg.f64 a)))) b_2) (cbrt.f64 a)))
50.5%
(*.f64 (/.f64 1 a) (-.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 c (neg.f64 a)))) b_2))
36.8%
(*.f64 c (-.f64 (*.f64 -1/8 (/.f64 (*.f64 a c) (pow.f64 b_2 3))) (*.f64 1/2 (/.f64 1 b_2))))
38.9%
(*.f64 -1/2 (/.f64 c b_2))
27.6%
(*.f64 -1 (*.f64 b_2 (+.f64 (*.f64 -1/2 (/.f64 c (pow.f64 b_2 2))) (*.f64 2 (/.f64 1 a)))))
28.9%
(cbrt.f64 (pow.f64 (/.f64 (-.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 c (neg.f64 a)))) b_2) a) 3))
Compiler

Compiled 735 to 489 computations (33.5% saved)

localize479.0ms (5.3%)

Localize:

Found 16 expressions with local error:

NewAccuracyProgram
91.4%
(-.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 c (neg.f64 a)))) (neg.f64 b_2))
88.9%
(/.f64 (-.f64 (-.f64 (pow.f64 b_2 2) (*.f64 a c)) (*.f64 (neg.f64 b_2) (neg.f64 b_2))) (-.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 c (neg.f64 a)))) (neg.f64 b_2)))
87.1%
(sqrt.f64 (*.f64 c (neg.f64 a)))
76.1%
(-.f64 (-.f64 (pow.f64 b_2 2) (*.f64 a c)) (*.f64 (neg.f64 b_2) (neg.f64 b_2)))
94.8%
(*.f64 a (-.f64 (/.f64 (pow.f64 b_2 2) a) c))
93.3%
(/.f64 (pow.f64 b_2 2) a)
89.8%
(-.f64 (sqrt.f64 (*.f64 a (-.f64 (/.f64 (pow.f64 b_2 2) a) c))) b_2)
80.6%
(sqrt.f64 (*.f64 a (-.f64 (/.f64 (pow.f64 b_2 2) a) c)))
100.0%
(-.f64 (sqrt.f64 (*.f64 -1 (*.f64 a c))) b_2)
99.8%
(/.f64 (-.f64 (sqrt.f64 (*.f64 -1 (*.f64 a c))) b_2) a)
87.1%
(sqrt.f64 (*.f64 -1 (*.f64 a c)))
100.0%
(*.f64 -1/2 (/.f64 c b_2))
99.5%
(pow.f64 (/.f64 a (-.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 c (neg.f64 a)))) b_2)) -1)
95.9%
(/.f64 a (-.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 c (neg.f64 a)))) b_2))
89.8%
(-.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 c (neg.f64 a)))) b_2)
87.1%
(sqrt.f64 (*.f64 c (neg.f64 a)))
Compiler

Compiled 285 to 93 computations (67.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 284.0ms
Operation ival-pow, time spent: 59.0ms, 21.0% of total-time
Operation ival-mult, time spent: 56.0ms, 20.0% of total-time
Operation ival-sqrt, time spent: 48.0ms, 17.0% of total-time
Operation ival-div, time spent: 45.0ms, 16.0% of total-time
Operation ival-sub, time spent: 44.0ms, 15.0% of total-time
Operation composed, time spent: 17.0ms, 6.0% of total-time
Operation const, time spent: 6.0ms, 2.0% of total-time
Operation ival-neg, time spent: 5.0ms, 2.0% of total-time
Operation ival-add, time spent: 3.0ms, 1.0% of total-time

series150.0ms (1.6%)

Counts
16 → 468
Calls

129 calls:

TimeVariablePointExpression
6.0ms
a
@0
(/.f64 (-.f64 (-.f64 (pow.f64 b_2 2) (*.f64 a c)) (*.f64 (neg.f64 b_2) (neg.f64 b_2))) (-.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 c (neg.f64 a)))) (neg.f64 b_2)))
5.0ms
c
@0
(sqrt.f64 (*.f64 c (neg.f64 a)))
4.0ms
b_2
@0
(/.f64 (-.f64 (-.f64 (pow.f64 b_2 2) (*.f64 a c)) (*.f64 (neg.f64 b_2) (neg.f64 b_2))) (-.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 c (neg.f64 a)))) (neg.f64 b_2)))
4.0ms
b_2
@0
(/.f64 a (-.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 c (neg.f64 a)))) b_2))
4.0ms
b_2
@-inf
(/.f64 (-.f64 (-.f64 (pow.f64 b_2 2) (*.f64 a c)) (*.f64 (neg.f64 b_2) (neg.f64 b_2))) (-.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 c (neg.f64 a)))) (neg.f64 b_2)))

rewrite167.0ms (1.8%)

Algorithm
batch-egg-rewrite
Rules
326×prod-diff
307×log1p-expm1-u
307×expm1-log1p-u
303×add-cube-cbrt
300×add-exp-log
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
039560
1728516
Stop Event
node limit
Counts
16 → 475
Calls
Call 1
Inputs
(sqrt.f64 (*.f64 c (neg.f64 a)))
(-.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 c (neg.f64 a)))) b_2)
(/.f64 a (-.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 c (neg.f64 a)))) b_2))
(pow.f64 (/.f64 a (-.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 c (neg.f64 a)))) b_2)) -1)
(*.f64 -1/2 (/.f64 c b_2))
(sqrt.f64 (*.f64 -1 (*.f64 a c)))
(/.f64 (-.f64 (sqrt.f64 (*.f64 -1 (*.f64 a c))) b_2) a)
(-.f64 (sqrt.f64 (*.f64 -1 (*.f64 a c))) b_2)
(sqrt.f64 (*.f64 a (-.f64 (/.f64 (pow.f64 b_2 2) a) c)))
(-.f64 (sqrt.f64 (*.f64 a (-.f64 (/.f64 (pow.f64 b_2 2) a) c))) b_2)
(/.f64 (pow.f64 b_2 2) a)
(*.f64 a (-.f64 (/.f64 (pow.f64 b_2 2) a) c))
(-.f64 (-.f64 (pow.f64 b_2 2) (*.f64 a c)) (*.f64 (neg.f64 b_2) (neg.f64 b_2)))
(sqrt.f64 (*.f64 c (neg.f64 a)))
(/.f64 (-.f64 (-.f64 (pow.f64 b_2 2) (*.f64 a c)) (*.f64 (neg.f64 b_2) (neg.f64 b_2))) (-.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 c (neg.f64 a)))) (neg.f64 b_2)))
(-.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 c (neg.f64 a)))) (neg.f64 b_2))
Outputs
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (*.f64 c a)))) 1)
(*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -1))
(*.f64 1 (sqrt.f64 (*.f64 c a)))
(*.f64 (cbrt.f64 (*.f64 c a)) (cbrt.f64 (sqrt.f64 (*.f64 c a))))
(*.f64 (sqrt.f64 -1) (sqrt.f64 (*.f64 c a)))
(*.f64 (sqrt.f64 c) (sqrt.f64 a))
(*.f64 (sqrt.f64 a) (sqrt.f64 c))
(*.f64 (pow.f64 (*.f64 c a) 1/4) (pow.f64 (*.f64 c a) 1/4))
(*.f64 (pow.f64 1 1/2) (sqrt.f64 (*.f64 c a)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (*.f64 c a)) 2) 1/2) (pow.f64 (cbrt.f64 (*.f64 c a)) 1/2))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 c a)) 2)) (sqrt.f64 (cbrt.f64 (*.f64 c a))))
(pow.f64 (*.f64 c a) 1/2)
(pow.f64 (sqrt.f64 (*.f64 c a)) 1)
(pow.f64 (cbrt.f64 (sqrt.f64 (*.f64 c a))) 3)
(pow.f64 (pow.f64 (*.f64 c a) 3/2) 1/3)
(pow.f64 (pow.f64 (*.f64 c a) 1/4) 2)
(fabs.f64 (sqrt.f64 (*.f64 c a)))
(log.f64 (exp.f64 (sqrt.f64 (*.f64 c a))))
(log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (*.f64 c a)))))
(cbrt.f64 (pow.f64 (*.f64 c a) 3/2))
(expm1.f64 (log1p.f64 (sqrt.f64 (*.f64 c a))))
(log1p.f64 (expm1.f64 (sqrt.f64 (*.f64 c a))))
(exp.f64 (log.f64 (sqrt.f64 (*.f64 c a))))
(exp.f64 (*.f64 (log.f64 (*.f64 c a)) 1/2))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 c a))) 1))
(+.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 c a))) b_2)
(+.f64 (+.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 c a))) b_2) (fma.f64 (neg.f64 (sqrt.f64 b_2)) (sqrt.f64 b_2) b_2))
(+.f64 (fma.f64 1 (hypot.f64 b_2 (sqrt.f64 (*.f64 c a))) (neg.f64 (*.f64 b_2 1))) (fma.f64 b_2 1 (*.f64 b_2 1)))
(+.f64 (fma.f64 1 (hypot.f64 b_2 (sqrt.f64 (*.f64 c a))) (neg.f64 (*.f64 (cbrt.f64 b_2) (pow.f64 (cbrt.f64 b_2) 2)))) (fma.f64 (neg.f64 (cbrt.f64 b_2)) (pow.f64 (cbrt.f64 b_2) 2) (*.f64 (cbrt.f64 b_2) (pow.f64 (cbrt.f64 b_2) 2))))
(+.f64 (fma.f64 (sqrt.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 c a)))) (sqrt.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 c a)))) (neg.f64 (*.f64 b_2 1))) (fma.f64 b_2 1 (*.f64 b_2 1)))
(+.f64 (fma.f64 (sqrt.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 c a)))) (sqrt.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 c a)))) (neg.f64 (*.f64 (cbrt.f64 b_2) (pow.f64 (cbrt.f64 b_2) 2)))) (fma.f64 (neg.f64 (cbrt.f64 b_2)) (pow.f64 (cbrt.f64 b_2) 2) (*.f64 (cbrt.f64 b_2) (pow.f64 (cbrt.f64 b_2) 2))))
(+.f64 (fma.f64 1 (hypot.f64 b_2 (sqrt.f64 (*.f64 c a))) (neg.f64 (*.f64 b_2 -1))) (fma.f64 b_2 -1 (*.f64 b_2 -1)))
(+.f64 (fma.f64 (cbrt.f64 (fma.f64 b_2 b_2 (*.f64 c a))) (cbrt.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 c a)))) (neg.f64 (*.f64 b_2 -1))) (fma.f64 b_2 -1 (*.f64 b_2 -1)))
(+.f64 (fma.f64 (cbrt.f64 (fma.f64 b_2 b_2 (*.f64 c a))) (cbrt.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 c a)))) (neg.f64 (*.f64 b_2 1))) (fma.f64 b_2 1 (*.f64 b_2 1)))
(+.f64 (fma.f64 (cbrt.f64 (fma.f64 b_2 b_2 (*.f64 c a))) (cbrt.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 c a)))) (neg.f64 (*.f64 (cbrt.f64 b_2) (pow.f64 (cbrt.f64 b_2) 2)))) (fma.f64 (neg.f64 (cbrt.f64 b_2)) (pow.f64 (cbrt.f64 b_2) 2) (*.f64 (cbrt.f64 b_2) (pow.f64 (cbrt.f64 b_2) 2))))
(+.f64 (fma.f64 (sqrt.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 c a)))) (sqrt.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 c a)))) (neg.f64 (*.f64 b_2 -1))) (fma.f64 b_2 -1 (*.f64 b_2 -1)))
(*.f64 (-.f64 (pow.f64 b_2 2) (fma.f64 c a (pow.f64 b_2 2))) (/.f64 1 (+.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 c a))) b_2)))
(*.f64 1 (+.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 c a))) b_2))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 c a))) b_2)) 2) (cbrt.f64 (+.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 c a))) b_2)))
(*.f64 (sqrt.f64 (+.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 c a))) b_2)) (sqrt.f64 (+.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 c a))) b_2)))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 c a))) b_2)) 2)) (/.f64 (-.f64 (pow.f64 b_2 2) (fma.f64 c a (pow.f64 b_2 2))) (cbrt.f64 (+.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 c a))) b_2))))
(*.f64 (/.f64 1 (sqrt.f64 (+.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 c a))) b_2))) (/.f64 (-.f64 (pow.f64 b_2 2) (fma.f64 c a (pow.f64 b_2 2))) (sqrt.f64 (+.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 c a))) b_2))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 (pow.f64 b_2 2) (fma.f64 c a (pow.f64 b_2 2)))) 2) 1) (/.f64 (cbrt.f64 (-.f64 (pow.f64 b_2 2) (fma.f64 c a (pow.f64 b_2 2)))) (+.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 c a))) b_2)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 (pow.f64 b_2 2) (fma.f64 c a (pow.f64 b_2 2)))) 2) (pow.f64 (cbrt.f64 (+.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 c a))) b_2)) 2)) (cbrt.f64 (+.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 c a))) b_2)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 (pow.f64 b_2 2) (fma.f64 c a (pow.f64 b_2 2)))) 2) (sqrt.f64 (+.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 c a))) b_2))) (/.f64 (cbrt.f64 (-.f64 (pow.f64 b_2 2) (fma.f64 c a (pow.f64 b_2 2)))) (sqrt.f64 (+.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 c a))) b_2))))
(*.f64 (/.f64 (sqrt.f64 (-.f64 (pow.f64 b_2 2) (fma.f64 c a (pow.f64 b_2 2)))) 1) (/.f64 (sqrt.f64 (-.f64 (pow.f64 b_2 2) (fma.f64 c a (pow.f64 b_2 2)))) (+.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 c a))) b_2)))
(*.f64 (/.f64 (sqrt.f64 (-.f64 (pow.f64 b_2 2) (fma.f64 c a (pow.f64 b_2 2)))) (pow.f64 (cbrt.f64 (+.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 c a))) b_2)) 2)) (/.f64 (sqrt.f64 (-.f64 (pow.f64 b_2 2) (fma.f64 c a (pow.f64 b_2 2)))) (cbrt.f64 (+.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 c a))) b_2))))
(/.f64 -1 (neg.f64 (/.f64 (+.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 c a))) b_2) (-.f64 (pow.f64 b_2 2) (fma.f64 c a (pow.f64 b_2 2))))))
(/.f64 (-.f64 (pow.f64 b_2 2) (fma.f64 c a (pow.f64 b_2 2))) (+.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 c a))) b_2))
(/.f64 1 (/.f64 (+.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 c a))) b_2) (-.f64 (pow.f64 b_2 2) (fma.f64 c a (pow.f64 b_2 2)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 b_2 2) (fma.f64 c a (pow.f64 b_2 2)))) (neg.f64 (+.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 c a))) b_2)))
(/.f64 (-.f64 (pow.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 c a))) 3) (pow.f64 b_2 3)) (+.f64 (fma.f64 b_2 b_2 (*.f64 c a)) (fma.f64 b_2 b_2 (*.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 c a))) b_2))))
(/.f64 (-.f64 (*.f64 (fma.f64 b_2 b_2 (*.f64 c a)) (+.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 c a))) b_2)) (*.f64 (+.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 c a))) b_2) (pow.f64 b_2 2))) (pow.f64 (+.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 c a))) b_2) 2))
(/.f64 (*.f64 (-.f64 (pow.f64 (fma.f64 b_2 b_2 (*.f64 c a)) 3) (pow.f64 b_2 6)) 1) (*.f64 (+.f64 (pow.f64 (fma.f64 b_2 b_2 (*.f64 c a)) 2) (+.f64 (pow.f64 b_2 4) (*.f64 (fma.f64 b_2 b_2 (*.f64 c a)) (pow.f64 b_2 2)))) (+.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 c a))) b_2)))
(/.f64 (*.f64 (-.f64 (pow.f64 (fma.f64 b_2 b_2 (*.f64 c a)) 2) (pow.f64 b_2 4)) 1) (*.f64 (-.f64 (pow.f64 b_2 2) (fma.f64 c a (pow.f64 b_2 2))) (+.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 c a))) b_2)))
(/.f64 (neg.f64 (-.f64 (pow.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 c a))) 3) (pow.f64 b_2 3))) (neg.f64 (+.f64 (fma.f64 b_2 b_2 (*.f64 c a)) (fma.f64 b_2 b_2 (*.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 c a))) b_2)))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 b_2 2) (fma.f64 c a (pow.f64 b_2 2))))) (neg.f64 (neg.f64 (+.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 c a))) b_2))))
(/.f64 (+.f64 (pow.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 c a))) 3) (pow.f64 b_2 3)) (+.f64 (fma.f64 b_2 b_2 (*.f64 c a)) (-.f64 (pow.f64 b_2 2) (*.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 c a))) b_2))))
(pow.f64 (+.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 c a))) b_2) 1)
(pow.f64 (cbrt.f64 (+.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 c a))) b_2)) 3)
(pow.f64 (pow.f64 (+.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 c a))) b_2) 3) 1/3)
(pow.f64 (sqrt.f64 (+.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 c a))) b_2)) 2)
(pow.f64 (/.f64 (+.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 c a))) b_2) (-.f64 (pow.f64 b_2 2) (fma.f64 c a (pow.f64 b_2 2)))) -1)
(sqrt.f64 (pow.f64 (+.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 c a))) b_2) 2))
(log.f64 (exp.f64 (+.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 c a))) b_2)))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 c a))) b_2))))
(cbrt.f64 (pow.f64 (+.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 c a))) b_2) 3))
(cbrt.f64 (/.f64 (pow.f64 (-.f64 (pow.f64 b_2 2) (fma.f64 c a (pow.f64 b_2 2))) 3) (pow.f64 (+.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 c a))) b_2) 3)))
(expm1.f64 (log1p.f64 (+.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 c a))) b_2)))
(log1p.f64 (expm1.f64 (+.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 c a))) b_2)))
(exp.f64 (log.f64 (+.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 c a))) b_2)))
(exp.f64 (*.f64 (log.f64 (+.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 c a))) b_2)) 1))
(fma.f64 1 (hypot.f64 b_2 (sqrt.f64 (*.f64 c a))) b_2)
(fma.f64 (cbrt.f64 (fma.f64 b_2 b_2 (*.f64 c a))) (cbrt.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 c a)))) b_2)
(fma.f64 (sqrt.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 c a)))) (sqrt.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 c a)))) b_2)
(-.f64 (exp.f64 (log1p.f64 (/.f64 a (+.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 c a))) b_2)))) 1)
(-.f64 (/.f64 0 (neg.f64 (+.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 c a))) b_2))) (/.f64 a (+.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 c a))) b_2)))
(*.f64 a (/.f64 1 (+.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 c a))) b_2)))
(*.f64 1 (/.f64 a (+.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 c a))) b_2)))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 a (+.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 c a))) b_2))) 2) (cbrt.f64 (/.f64 a (+.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 c a))) b_2))))
(*.f64 (sqrt.f64 (/.f64 a (+.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 c a))) b_2))) (sqrt.f64 (/.f64 a (+.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 c a))) b_2))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 a) 2) 1) (/.f64 (cbrt.f64 a) (+.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 c a))) b_2)))
(*.f64 (/.f64 (sqrt.f64 a) 1) (/.f64 (sqrt.f64 a) (+.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 c a))) b_2)))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 c a))) b_2)) 2)) (/.f64 a (cbrt.f64 (+.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 c a))) b_2))))
(*.f64 (/.f64 1 (sqrt.f64 (+.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 c a))) b_2))) (/.f64 a (sqrt.f64 (+.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 c a))) b_2))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 a) 2) (pow.f64 (cbrt.f64 (+.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 c a))) b_2)) 2)) (cbrt.f64 (/.f64 a (+.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 c a))) b_2))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 a) 2) (sqrt.f64 (+.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 c a))) b_2))) (/.f64 (cbrt.f64 a) (sqrt.f64 (+.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 c a))) b_2))))
(*.f64 (/.f64 (sqrt.f64 a) (pow.f64 (cbrt.f64 (+.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 c a))) b_2)) 2)) (/.f64 (sqrt.f64 a) (cbrt.f64 (+.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 c a))) b_2))))
(pow.f64 (/.f64 a (+.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 c a))) b_2)) 1)
(pow.f64 (cbrt.f64 (/.f64 a (+.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 c a))) b_2))) 3)
(pow.f64 (pow.f64 (/.f64 a (+.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 c a))) b_2)) 3) 1/3)
(pow.f64 (sqrt.f64 (/.f64 a (+.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 c a))) b_2))) 2)
(pow.f64 (/.f64 (+.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 c a))) b_2) a) -1)
(sqrt.f64 (pow.f64 (/.f64 a (+.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 c a))) b_2)) 2))
(log.f64 (exp.f64 (/.f64 a (+.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 c a))) b_2))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 a (+.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 c a))) b_2)))))
(cbrt.f64 (pow.f64 (/.f64 a (+.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 c a))) b_2)) 3))
(cbrt.f64 (/.f64 (pow.f64 a 3) (pow.f64 (+.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 c a))) b_2) 3)))
(expm1.f64 (log1p.f64 (/.f64 a (+.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 c a))) b_2))))
(log1p.f64 (expm1.f64 (/.f64 a (+.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 c a))) b_2))))
(exp.f64 (log.f64 (/.f64 a (+.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 c a))) b_2))))
(exp.f64 (*.f64 (log.f64 (/.f64 a (+.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 c a))) b_2))) 1))
(-.f64 (exp.f64 (log1p.f64 (/.f64 1 (/.f64 a (+.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 c a))) b_2))))) 1)
(*.f64 1 (/.f64 1 (/.f64 a (+.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 c a))) b_2))))
(*.f64 (cbrt.f64 (pow.f64 (/.f64 a (+.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 c a))) b_2)) -2)) (/.f64 1 (cbrt.f64 (/.f64 a (+.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 c a))) b_2)))))
(*.f64 (/.f64 -1 a) (pow.f64 (/.f64 1 (+.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 c a))) b_2)) -1))
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(+.f64 (fma.f64 (cbrt.f64 (fma.f64 b_2 b_2 (*.f64 c a))) (cbrt.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 c a)))) (neg.f64 (*.f64 (cbrt.f64 b_2) (pow.f64 (cbrt.f64 b_2) 2)))) (fma.f64 (neg.f64 (cbrt.f64 b_2)) (pow.f64 (cbrt.f64 b_2) 2) (*.f64 (cbrt.f64 b_2) (pow.f64 (cbrt.f64 b_2) 2))))
(+.f64 (fma.f64 (sqrt.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 c a)))) (sqrt.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 c a)))) (neg.f64 (*.f64 b_2 -1))) (fma.f64 b_2 -1 (*.f64 b_2 -1)))
(-.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 c a))) b_2)
(-.f64 (/.f64 (fma.f64 b_2 b_2 (*.f64 c a)) (+.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 c a))) b_2)) (/.f64 (pow.f64 b_2 2) (+.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 c a))) b_2)))
(-.f64 (/.f64 (pow.f64 b_2 2) (+.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 c a))) b_2)) (/.f64 (fma.f64 c a (pow.f64 b_2 2)) (+.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 c a))) b_2)))
(-.f64 (exp.f64 (log1p.f64 (+.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 c a))) b_2))) 1)
(-.f64 (/.f64 (pow.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 c a))) 3) (+.f64 (fma.f64 b_2 b_2 (*.f64 c a)) (fma.f64 b_2 b_2 (*.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 c a))) b_2)))) (/.f64 (pow.f64 b_2 3) (+.f64 (fma.f64 b_2 b_2 (*.f64 c a)) (fma.f64 b_2 b_2 (*.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 c a))) b_2)))))
(*.f64 (-.f64 (pow.f64 b_2 2) (fma.f64 c a (pow.f64 b_2 2))) (/.f64 1 (+.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 c a))) b_2)))
(*.f64 1 (+.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 c a))) b_2))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 c a))) b_2)) 2) (cbrt.f64 (+.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 c a))) b_2)))
(*.f64 (sqrt.f64 (+.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 c a))) b_2)) (sqrt.f64 (+.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 c a))) b_2)))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 c a))) b_2)) 2)) (/.f64 (-.f64 (pow.f64 b_2 2) (fma.f64 c a (pow.f64 b_2 2))) (cbrt.f64 (+.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 c a))) b_2))))
(*.f64 (/.f64 1 (sqrt.f64 (+.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 c a))) b_2))) (/.f64 (-.f64 (pow.f64 b_2 2) (fma.f64 c a (pow.f64 b_2 2))) (sqrt.f64 (+.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 c a))) b_2))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 (pow.f64 b_2 2) (fma.f64 c a (pow.f64 b_2 2)))) 2) 1) (/.f64 (cbrt.f64 (-.f64 (pow.f64 b_2 2) (fma.f64 c a (pow.f64 b_2 2)))) (+.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 c a))) b_2)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 (pow.f64 b_2 2) (fma.f64 c a (pow.f64 b_2 2)))) 2) (pow.f64 (cbrt.f64 (+.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 c a))) b_2)) 2)) (cbrt.f64 (+.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 c a))) b_2)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 (pow.f64 b_2 2) (fma.f64 c a (pow.f64 b_2 2)))) 2) (sqrt.f64 (+.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 c a))) b_2))) (/.f64 (cbrt.f64 (-.f64 (pow.f64 b_2 2) (fma.f64 c a (pow.f64 b_2 2)))) (sqrt.f64 (+.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 c a))) b_2))))
(*.f64 (/.f64 (sqrt.f64 (-.f64 (pow.f64 b_2 2) (fma.f64 c a (pow.f64 b_2 2)))) 1) (/.f64 (sqrt.f64 (-.f64 (pow.f64 b_2 2) (fma.f64 c a (pow.f64 b_2 2)))) (+.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 c a))) b_2)))
(*.f64 (/.f64 (sqrt.f64 (-.f64 (pow.f64 b_2 2) (fma.f64 c a (pow.f64 b_2 2)))) (pow.f64 (cbrt.f64 (+.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 c a))) b_2)) 2)) (/.f64 (sqrt.f64 (-.f64 (pow.f64 b_2 2) (fma.f64 c a (pow.f64 b_2 2)))) (cbrt.f64 (+.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 c a))) b_2))))
(pow.f64 (+.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 c a))) b_2) 1)
(pow.f64 (cbrt.f64 (+.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 c a))) b_2)) 3)
(pow.f64 (pow.f64 (+.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 c a))) b_2) 3) 1/3)
(pow.f64 (sqrt.f64 (+.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 c a))) b_2)) 2)
(pow.f64 (/.f64 (+.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 c a))) b_2) (-.f64 (pow.f64 b_2 2) (fma.f64 c a (pow.f64 b_2 2)))) -1)
(sqrt.f64 (pow.f64 (+.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 c a))) b_2) 2))
(log.f64 (exp.f64 (+.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 c a))) b_2)))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 c a))) b_2))))
(cbrt.f64 (pow.f64 (+.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 c a))) b_2) 3))
(cbrt.f64 (/.f64 (pow.f64 (-.f64 (pow.f64 b_2 2) (fma.f64 c a (pow.f64 b_2 2))) 3) (pow.f64 (+.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 c a))) b_2) 3)))
(expm1.f64 (log1p.f64 (+.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 c a))) b_2)))
(log1p.f64 (expm1.f64 (+.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 c a))) b_2)))
(exp.f64 (log.f64 (+.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 c a))) b_2)))
(exp.f64 (*.f64 (log.f64 (+.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 c a))) b_2)) 1))
(fma.f64 1 (hypot.f64 b_2 (sqrt.f64 (*.f64 c a))) b_2)
(fma.f64 (cbrt.f64 (fma.f64 b_2 b_2 (*.f64 c a))) (cbrt.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 c a)))) b_2)
(fma.f64 (sqrt.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 c a)))) (sqrt.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 c a)))) b_2)
(+.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 c a))) b_2)
(+.f64 (+.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 c a))) b_2) (fma.f64 (neg.f64 (sqrt.f64 b_2)) (sqrt.f64 b_2) b_2))
(+.f64 (fma.f64 1 (hypot.f64 b_2 (sqrt.f64 (*.f64 c a))) (neg.f64 (*.f64 b_2 1))) (fma.f64 b_2 1 (*.f64 b_2 1)))
(+.f64 (fma.f64 1 (hypot.f64 b_2 (sqrt.f64 (*.f64 c a))) (neg.f64 (*.f64 (cbrt.f64 b_2) (pow.f64 (cbrt.f64 b_2) 2)))) (fma.f64 (neg.f64 (cbrt.f64 b_2)) (pow.f64 (cbrt.f64 b_2) 2) (*.f64 (cbrt.f64 b_2) (pow.f64 (cbrt.f64 b_2) 2))))
(+.f64 (fma.f64 (sqrt.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 c a)))) (sqrt.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 c a)))) (neg.f64 (*.f64 b_2 1))) (fma.f64 b_2 1 (*.f64 b_2 1)))
(+.f64 (fma.f64 (sqrt.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 c a)))) (sqrt.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 c a)))) (neg.f64 (*.f64 (cbrt.f64 b_2) (pow.f64 (cbrt.f64 b_2) 2)))) (fma.f64 (neg.f64 (cbrt.f64 b_2)) (pow.f64 (cbrt.f64 b_2) 2) (*.f64 (cbrt.f64 b_2) (pow.f64 (cbrt.f64 b_2) 2))))
(+.f64 (fma.f64 1 (hypot.f64 b_2 (sqrt.f64 (*.f64 c a))) (neg.f64 (*.f64 b_2 -1))) (fma.f64 b_2 -1 (*.f64 b_2 -1)))
(+.f64 (fma.f64 (cbrt.f64 (fma.f64 b_2 b_2 (*.f64 c a))) (cbrt.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 c a)))) (neg.f64 (*.f64 b_2 -1))) (fma.f64 b_2 -1 (*.f64 b_2 -1)))
(+.f64 (fma.f64 (cbrt.f64 (fma.f64 b_2 b_2 (*.f64 c a))) (cbrt.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 c a)))) (neg.f64 (*.f64 b_2 1))) (fma.f64 b_2 1 (*.f64 b_2 1)))
(+.f64 (fma.f64 (cbrt.f64 (fma.f64 b_2 b_2 (*.f64 c a))) (cbrt.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 c a)))) (neg.f64 (*.f64 (cbrt.f64 b_2) (pow.f64 (cbrt.f64 b_2) 2)))) (fma.f64 (neg.f64 (cbrt.f64 b_2)) (pow.f64 (cbrt.f64 b_2) 2) (*.f64 (cbrt.f64 b_2) (pow.f64 (cbrt.f64 b_2) 2))))
(+.f64 (fma.f64 (sqrt.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 c a)))) (sqrt.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 c a)))) (neg.f64 (*.f64 b_2 -1))) (fma.f64 b_2 -1 (*.f64 b_2 -1)))
(*.f64 (-.f64 (pow.f64 b_2 2) (fma.f64 c a (pow.f64 b_2 2))) (/.f64 1 (+.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 c a))) b_2)))
(*.f64 1 (+.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 c a))) b_2))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 c a))) b_2)) 2) (cbrt.f64 (+.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 c a))) b_2)))
(*.f64 (sqrt.f64 (+.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 c a))) b_2)) (sqrt.f64 (+.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 c a))) b_2)))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 c a))) b_2)) 2)) (/.f64 (-.f64 (pow.f64 b_2 2) (fma.f64 c a (pow.f64 b_2 2))) (cbrt.f64 (+.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 c a))) b_2))))
(*.f64 (/.f64 1 (sqrt.f64 (+.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 c a))) b_2))) (/.f64 (-.f64 (pow.f64 b_2 2) (fma.f64 c a (pow.f64 b_2 2))) (sqrt.f64 (+.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 c a))) b_2))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 (pow.f64 b_2 2) (fma.f64 c a (pow.f64 b_2 2)))) 2) 1) (/.f64 (cbrt.f64 (-.f64 (pow.f64 b_2 2) (fma.f64 c a (pow.f64 b_2 2)))) (+.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 c a))) b_2)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 (pow.f64 b_2 2) (fma.f64 c a (pow.f64 b_2 2)))) 2) (pow.f64 (cbrt.f64 (+.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 c a))) b_2)) 2)) (cbrt.f64 (+.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 c a))) b_2)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 (pow.f64 b_2 2) (fma.f64 c a (pow.f64 b_2 2)))) 2) (sqrt.f64 (+.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 c a))) b_2))) (/.f64 (cbrt.f64 (-.f64 (pow.f64 b_2 2) (fma.f64 c a (pow.f64 b_2 2)))) (sqrt.f64 (+.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 c a))) b_2))))
(*.f64 (/.f64 (sqrt.f64 (-.f64 (pow.f64 b_2 2) (fma.f64 c a (pow.f64 b_2 2)))) 1) (/.f64 (sqrt.f64 (-.f64 (pow.f64 b_2 2) (fma.f64 c a (pow.f64 b_2 2)))) (+.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 c a))) b_2)))
(*.f64 (/.f64 (sqrt.f64 (-.f64 (pow.f64 b_2 2) (fma.f64 c a (pow.f64 b_2 2)))) (pow.f64 (cbrt.f64 (+.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 c a))) b_2)) 2)) (/.f64 (sqrt.f64 (-.f64 (pow.f64 b_2 2) (fma.f64 c a (pow.f64 b_2 2)))) (cbrt.f64 (+.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 c a))) b_2))))
(/.f64 -1 (neg.f64 (/.f64 (+.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 c a))) b_2) (-.f64 (pow.f64 b_2 2) (fma.f64 c a (pow.f64 b_2 2))))))
(/.f64 (-.f64 (pow.f64 b_2 2) (fma.f64 c a (pow.f64 b_2 2))) (+.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 c a))) b_2))
(/.f64 1 (/.f64 (+.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 c a))) b_2) (-.f64 (pow.f64 b_2 2) (fma.f64 c a (pow.f64 b_2 2)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 b_2 2) (fma.f64 c a (pow.f64 b_2 2)))) (neg.f64 (+.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 c a))) b_2)))
(/.f64 (-.f64 (pow.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 c a))) 3) (pow.f64 b_2 3)) (+.f64 (fma.f64 b_2 b_2 (*.f64 c a)) (fma.f64 b_2 b_2 (*.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 c a))) b_2))))
(/.f64 (-.f64 (*.f64 (fma.f64 b_2 b_2 (*.f64 c a)) (+.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 c a))) b_2)) (*.f64 (+.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 c a))) b_2) (pow.f64 b_2 2))) (pow.f64 (+.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 c a))) b_2) 2))
(/.f64 (*.f64 (-.f64 (pow.f64 (fma.f64 b_2 b_2 (*.f64 c a)) 3) (pow.f64 b_2 6)) 1) (*.f64 (+.f64 (pow.f64 (fma.f64 b_2 b_2 (*.f64 c a)) 2) (+.f64 (pow.f64 b_2 4) (*.f64 (fma.f64 b_2 b_2 (*.f64 c a)) (pow.f64 b_2 2)))) (+.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 c a))) b_2)))
(/.f64 (*.f64 (-.f64 (pow.f64 (fma.f64 b_2 b_2 (*.f64 c a)) 2) (pow.f64 b_2 4)) 1) (*.f64 (-.f64 (pow.f64 b_2 2) (fma.f64 c a (pow.f64 b_2 2))) (+.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 c a))) b_2)))
(/.f64 (neg.f64 (-.f64 (pow.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 c a))) 3) (pow.f64 b_2 3))) (neg.f64 (+.f64 (fma.f64 b_2 b_2 (*.f64 c a)) (fma.f64 b_2 b_2 (*.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 c a))) b_2)))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 b_2 2) (fma.f64 c a (pow.f64 b_2 2))))) (neg.f64 (neg.f64 (+.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 c a))) b_2))))
(/.f64 (+.f64 (pow.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 c a))) 3) (pow.f64 b_2 3)) (+.f64 (fma.f64 b_2 b_2 (*.f64 c a)) (-.f64 (pow.f64 b_2 2) (*.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 c a))) b_2))))
(pow.f64 (+.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 c a))) b_2) 1)
(pow.f64 (cbrt.f64 (+.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 c a))) b_2)) 3)
(pow.f64 (pow.f64 (+.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 c a))) b_2) 3) 1/3)
(pow.f64 (sqrt.f64 (+.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 c a))) b_2)) 2)
(pow.f64 (/.f64 (+.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 c a))) b_2) (-.f64 (pow.f64 b_2 2) (fma.f64 c a (pow.f64 b_2 2)))) -1)
(sqrt.f64 (pow.f64 (+.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 c a))) b_2) 2))
(log.f64 (exp.f64 (+.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 c a))) b_2)))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 c a))) b_2))))
(cbrt.f64 (pow.f64 (+.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 c a))) b_2) 3))
(cbrt.f64 (/.f64 (pow.f64 (-.f64 (pow.f64 b_2 2) (fma.f64 c a (pow.f64 b_2 2))) 3) (pow.f64 (+.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 c a))) b_2) 3)))
(expm1.f64 (log1p.f64 (+.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 c a))) b_2)))
(log1p.f64 (expm1.f64 (+.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 c a))) b_2)))
(exp.f64 (log.f64 (+.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 c a))) b_2)))
(exp.f64 (*.f64 (log.f64 (+.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 c a))) b_2)) 1))
(fma.f64 1 (hypot.f64 b_2 (sqrt.f64 (*.f64 c a))) b_2)
(fma.f64 (cbrt.f64 (fma.f64 b_2 b_2 (*.f64 c a))) (cbrt.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 c a)))) b_2)
(fma.f64 (sqrt.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 c a)))) (sqrt.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 c a)))) b_2)

eval380.0ms (4.2%)

Compiler

Compiled 26509 to 14125 computations (46.7% saved)

prune326.0ms (3.6%)

Pruning

24 alts after pruning (21 fresh and 3 done)

PrunedKeptTotal
New1031101041
Fresh41115
Picked325
Done011
Total1038241062
Accuracy
96.1%
Counts
1062 → 24
Alt Table
Click to see full alt table
StatusAccuracyProgram
50.5%
(pow.f64 (/.f64 a (-.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 c (neg.f64 a)))) b_2)) -1)
28.9%
(pow.f64 (/.f64 a (*.f64 -2 b_2)) -1)
38.2%
(pow.f64 (cbrt.f64 (*.f64 -1/2 (/.f64 c b_2))) 3)
45.1%
(/.f64 (/.f64 (*.f64 -1 (*.f64 a c)) (-.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 c (neg.f64 a)))) (neg.f64 b_2))) a)
44.6%
(/.f64 (-.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (*.f64 a (-.f64 (/.f64 (pow.f64 b_2 2) a) c)))) 3) b_2) a)
27.4%
(/.f64 (-.f64 (*.f64 (sqrt.f64 (-.f64 (/.f64 (pow.f64 b_2 2) a) c)) (sqrt.f64 a)) b_2) a)
49.3%
(/.f64 (-.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) b_2) a)
46.4%
(/.f64 (-.f64 (sqrt.f64 (*.f64 a (-.f64 (*.f64 (/.f64 b_2 1) (/.f64 b_2 a)) c))) b_2) a)
34.9%
(/.f64 (-.f64 (sqrt.f64 (*.f64 -1 (*.f64 a c))) b_2) a)
36.5%
(/.f64 (-.f64 (cbrt.f64 (pow.f64 (-.f64 (pow.f64 b_2 2) (*.f64 a c)) 3/2)) b_2) a)
11.2%
(/.f64 (-.f64 b_2 b_2) a)
0.9%
(/.f64 (+.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 c a))) b_2) a)
27.2%
(/.f64 (*.f64 a (+.f64 (*.f64 -1/2 (/.f64 c b_2)) (*.f64 -1/8 (/.f64 (*.f64 a (pow.f64 c 2)) (pow.f64 b_2 3))))) a)
31.5%
(/.f64 (*.f64 -1/2 (/.f64 (*.f64 a c) b_2)) a)
38.9%
(/.f64 (*.f64 -1/2 c) b_2)
29.0%
(/.f64 (*.f64 -2 b_2) a)
10.9%
(/.f64 (neg.f64 (*.f64 -1/2 c)) b_2)
47.8%
(/.f64 (exp.f64 (log.f64 (-.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 c (neg.f64 a)))) b_2))) a)
49.8%
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 a) 2)) (/.f64 (-.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 c (neg.f64 a)))) b_2) (cbrt.f64 a)))
50.5%
(*.f64 (/.f64 1 a) (-.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 c (neg.f64 a)))) b_2))
36.8%
(*.f64 c (-.f64 (*.f64 -1/8 (/.f64 (*.f64 a c) (pow.f64 b_2 3))) (*.f64 1/2 (/.f64 1 b_2))))
27.6%
(*.f64 -1 (*.f64 b_2 (+.f64 (*.f64 -1/2 (/.f64 c (pow.f64 b_2 2))) (*.f64 2 (/.f64 1 a)))))
22.8%
(exp.f64 (log.f64 (*.f64 -1/2 (/.f64 c b_2))))
28.9%
(cbrt.f64 (pow.f64 (/.f64 (-.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 c (neg.f64 a)))) b_2) a) 3))
Compiler

Compiled 682 to 481 computations (29.5% saved)

localize295.0ms (3.2%)

Localize:

Found 11 expressions with local error:

NewAccuracyProgram
98.0%
(/.f64 (-.f64 (*.f64 (sqrt.f64 (-.f64 (/.f64 (pow.f64 b_2 2) a) c)) (sqrt.f64 a)) b_2) a)
97.7%
(*.f64 (sqrt.f64 (-.f64 (/.f64 (pow.f64 b_2 2) a) c)) (sqrt.f64 a))
97.4%
(-.f64 (*.f64 (sqrt.f64 (-.f64 (/.f64 (pow.f64 b_2 2) a) c)) (sqrt.f64 a)) b_2)
93.4%
(sqrt.f64 (-.f64 (/.f64 (pow.f64 b_2 2) a) c))
100.0%
(*.f64 -1/2 (/.f64 c b_2))
99.8%
(pow.f64 (cbrt.f64 (*.f64 -1/2 (/.f64 c b_2))) 3)
93.3%
(cbrt.f64 (*.f64 -1/2 (/.f64 c b_2)))
99.8%
(pow.f64 (/.f64 a (*.f64 -2 b_2)) -1)
97.9%
(*.f64 (/.f64 1 a) (-.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 c (neg.f64 a)))) b_2))
97.4%
(-.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 c (neg.f64 a)))) b_2)
92.7%
(sqrt.f64 (*.f64 c (neg.f64 a)))
Compiler

Compiled 175 to 83 computations (52.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 159.0ms
Operation ival-mult, time spent: 33.0ms, 21.0% of total-time
Operation ival-div, time spent: 32.0ms, 20.0% of total-time
Operation ival-pow, time spent: 28.0ms, 18.0% of total-time
Operation ival-sqrt, time spent: 25.0ms, 16.0% of total-time
Operation ival-sub, time spent: 13.0ms, 8.0% of total-time
Operation composed, time spent: 12.0ms, 8.0% of total-time
Operation ival-cbrt, time spent: 7.0ms, 4.0% of total-time
Operation const, time spent: 5.0ms, 3.0% of total-time
Operation ival-neg, time spent: 2.0ms, 1.0% of total-time
Operation ival-add, time spent: 2.0ms, 1.0% of total-time

series158.0ms (1.7%)

Counts
11 → 312
Calls

84 calls:

TimeVariablePointExpression
68.0ms
b_2
@-inf
(sqrt.f64 (-.f64 (/.f64 (pow.f64 b_2 2) a) c))
4.0ms
c
@0
(cbrt.f64 (*.f64 -1/2 (/.f64 c b_2)))
3.0ms
b_2
@inf
(/.f64 (-.f64 (*.f64 (sqrt.f64 (-.f64 (/.f64 (pow.f64 b_2 2) a) c)) (sqrt.f64 a)) b_2) a)
3.0ms
b_2
@0
(cbrt.f64 (*.f64 -1/2 (/.f64 c b_2)))
3.0ms
a
@0
(pow.f64 (/.f64 a (*.f64 -2 b_2)) -1)

rewrite144.0ms (1.6%)

Algorithm
batch-egg-rewrite
Rules
452×associate-*r*
310×associate-*l*
255×log1p-expm1-u
255×expm1-log1p-u
248×add-cube-cbrt
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
038376
1590358
Stop Event
node limit
Counts
11 → 352
Calls
Call 1
Inputs
(sqrt.f64 (*.f64 c (neg.f64 a)))
(-.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 c (neg.f64 a)))) b_2)
(*.f64 (/.f64 1 a) (-.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 c (neg.f64 a)))) b_2))
(pow.f64 (/.f64 a (*.f64 -2 b_2)) -1)
(cbrt.f64 (*.f64 -1/2 (/.f64 c b_2)))
(pow.f64 (cbrt.f64 (*.f64 -1/2 (/.f64 c b_2))) 3)
(*.f64 -1/2 (/.f64 c b_2))
(sqrt.f64 (-.f64 (/.f64 (pow.f64 b_2 2) a) c))
(-.f64 (*.f64 (sqrt.f64 (-.f64 (/.f64 (pow.f64 b_2 2) a) c)) (sqrt.f64 a)) b_2)
(*.f64 (sqrt.f64 (-.f64 (/.f64 (pow.f64 b_2 2) a) c)) (sqrt.f64 a))
(/.f64 (-.f64 (*.f64 (sqrt.f64 (-.f64 (/.f64 (pow.f64 b_2 2) a) c)) (sqrt.f64 a)) b_2) a)
Outputs
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (*.f64 c a)))) 1)
(*.f64 1 (sqrt.f64 (*.f64 c a)))
(*.f64 (sqrt.f64 a) (sqrt.f64 c))
(*.f64 (cbrt.f64 (sqrt.f64 (*.f64 c a))) (cbrt.f64 (*.f64 c a)))
(*.f64 (cbrt.f64 (*.f64 c a)) (cbrt.f64 (sqrt.f64 (*.f64 c a))))
(*.f64 (sqrt.f64 c) (sqrt.f64 a))
(*.f64 (pow.f64 (*.f64 c a) 1/4) (pow.f64 (*.f64 c a) 1/4))
(*.f64 (pow.f64 1 1/2) (sqrt.f64 (*.f64 c a)))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (*.f64 c a) 2)) 1/2) (pow.f64 (cbrt.f64 (*.f64 c a)) 1/2))
(*.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (*.f64 c a) 2))) (sqrt.f64 (cbrt.f64 (*.f64 c a))))
(pow.f64 (*.f64 c a) 1/2)
(pow.f64 (sqrt.f64 (*.f64 c a)) 1)
(pow.f64 (cbrt.f64 (sqrt.f64 (*.f64 c a))) 3)
(pow.f64 (pow.f64 (*.f64 c a) 3/2) 1/3)
(pow.f64 (pow.f64 (*.f64 c a) 1/4) 2)
(fabs.f64 (sqrt.f64 (*.f64 c a)))
(log.f64 (exp.f64 (sqrt.f64 (*.f64 c a))))
(log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (*.f64 c a)))))
(cbrt.f64 (pow.f64 (*.f64 c a) 3/2))
(expm1.f64 (log1p.f64 (sqrt.f64 (*.f64 c a))))
(log1p.f64 (expm1.f64 (sqrt.f64 (*.f64 c a))))
(exp.f64 (log.f64 (sqrt.f64 (*.f64 c a))))
(exp.f64 (*.f64 (log.f64 (*.f64 c a)) 1/2))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 c a))) 1))
(+.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 c a))) (neg.f64 b_2))
(+.f64 (-.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 c a))) b_2) (fma.f64 (neg.f64 (cbrt.f64 b_2)) (pow.f64 (cbrt.f64 b_2) 2) b_2))
(+.f64 (-.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 c a))) b_2) (fma.f64 (neg.f64 (sqrt.f64 b_2)) (sqrt.f64 b_2) b_2))
(+.f64 (fma.f64 1 (hypot.f64 b_2 (sqrt.f64 (*.f64 c a))) (neg.f64 (*.f64 b_2 1))) (fma.f64 (neg.f64 b_2) 1 (*.f64 b_2 1)))
(+.f64 (fma.f64 (cbrt.f64 (fma.f64 b_2 b_2 (*.f64 c a))) (cbrt.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 c a)))) (neg.f64 (*.f64 b_2 1))) (fma.f64 (neg.f64 b_2) 1 (*.f64 b_2 1)))
(+.f64 (fma.f64 (sqrt.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 c a)))) (sqrt.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 c a)))) (neg.f64 (*.f64 b_2 1))) (fma.f64 (neg.f64 b_2) 1 (*.f64 b_2 1)))
(+.f64 (*.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 c a))) 1) (*.f64 (neg.f64 b_2) 1))
(*.f64 1 (-.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 c a))) b_2))
(*.f64 (cbrt.f64 (-.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 c a))) b_2)) (pow.f64 (cbrt.f64 (-.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 c a))) b_2)) 2))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 c a))) b_2)) 2) (cbrt.f64 (-.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 c a))) b_2)))
(*.f64 (sqrt.f64 (-.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 c a))) b_2)) (sqrt.f64 (-.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 c a))) b_2)))
(*.f64 (-.f64 (pow.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 c a))) 3) (pow.f64 b_2 3)) (/.f64 1 (+.f64 (fma.f64 b_2 b_2 (*.f64 c a)) (*.f64 b_2 (+.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 c a))))))))
(*.f64 (-.f64 (fma.f64 b_2 b_2 (*.f64 c a)) (pow.f64 b_2 2)) (/.f64 1 (+.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 c a))) b_2)))
(*.f64 (+.f64 (sqrt.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 c a)))) (sqrt.f64 b_2)) (-.f64 (sqrt.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 c a)))) (sqrt.f64 b_2)))
(/.f64 1 (/.f64 (+.f64 (fma.f64 b_2 b_2 (*.f64 c a)) (*.f64 b_2 (+.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 c a)))))) (-.f64 (pow.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 c a))) 3) (pow.f64 b_2 3))))
(/.f64 1 (/.f64 (+.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 c a))) b_2) (-.f64 (fma.f64 b_2 b_2 (*.f64 c a)) (pow.f64 b_2 2))))
(/.f64 (-.f64 (pow.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 c a))) 3) (pow.f64 b_2 3)) (+.f64 (fma.f64 b_2 b_2 (*.f64 c a)) (*.f64 b_2 (+.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 c a)))))))
(/.f64 (-.f64 (fma.f64 b_2 b_2 (*.f64 c a)) (pow.f64 b_2 2)) (+.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 c a))) b_2))
(/.f64 (neg.f64 (-.f64 (pow.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 c a))) 3) (pow.f64 b_2 3))) (neg.f64 (+.f64 (fma.f64 b_2 b_2 (*.f64 c a)) (*.f64 b_2 (+.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 c a))))))))
(/.f64 (neg.f64 (-.f64 (fma.f64 b_2 b_2 (*.f64 c a)) (pow.f64 b_2 2))) (neg.f64 (+.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 c a))) b_2)))
(/.f64 (+.f64 (pow.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 c a))) 3) (pow.f64 (neg.f64 b_2) 3)) (+.f64 (fma.f64 b_2 b_2 (*.f64 c a)) (-.f64 (*.f64 (neg.f64 b_2) (neg.f64 b_2)) (*.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 c a))) (neg.f64 b_2)))))
(/.f64 (-.f64 (fma.f64 b_2 b_2 (*.f64 c a)) (*.f64 (neg.f64 b_2) (neg.f64 b_2))) (-.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 c a))) (neg.f64 b_2)))
(pow.f64 (-.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 c a))) b_2) 1)
(pow.f64 (cbrt.f64 (-.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 c a))) b_2)) 3)
(pow.f64 (pow.f64 (-.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 c a))) b_2) 3) 1/3)
(pow.f64 (sqrt.f64 (-.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 c a))) b_2)) 2)
(sqrt.f64 (pow.f64 (-.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 c a))) b_2) 2))
(log.f64 (exp.f64 (-.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 c a))) b_2)))
(log.f64 (+.f64 1 (expm1.f64 (-.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 c a))) b_2))))
(cbrt.f64 (pow.f64 (-.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 c a))) b_2) 3))
(expm1.f64 (log1p.f64 (-.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 c a))) b_2)))
(log1p.f64 (expm1.f64 (-.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 c a))) b_2)))
(exp.f64 (log.f64 (-.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 c a))) b_2)))
(exp.f64 (*.f64 (log.f64 (-.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 c a))) b_2)) 1))
(fma.f64 1 (hypot.f64 b_2 (sqrt.f64 (*.f64 c a))) (neg.f64 b_2))
(fma.f64 (cbrt.f64 (fma.f64 b_2 b_2 (*.f64 c a))) (cbrt.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 c a)))) (neg.f64 b_2))
(fma.f64 (sqrt.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 c a)))) (sqrt.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 c a)))) (neg.f64 b_2))
(+.f64 (*.f64 (/.f64 1 a) (hypot.f64 b_2 (sqrt.f64 (*.f64 c a)))) (*.f64 (/.f64 1 a) (neg.f64 b_2)))
(+.f64 (*.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 c a))) (/.f64 1 a)) (*.f64 (neg.f64 b_2) (/.f64 1 a)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (-.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 c a))) b_2) a))) 1)
(-.f64 (/.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 c a))) a) (/.f64 b_2 a))
(/.f64 (-.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 c a))) b_2) a)
(/.f64 1 (/.f64 a (-.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 c a))) b_2)))
(/.f64 (-.f64 (pow.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 c a))) 3) (pow.f64 b_2 3)) (*.f64 a (+.f64 (fma.f64 b_2 b_2 (*.f64 c a)) (*.f64 b_2 (+.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 c a))))))))
(/.f64 (-.f64 (fma.f64 b_2 b_2 (*.f64 c a)) (pow.f64 b_2 2)) (*.f64 a (+.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 c a))) b_2)))
(/.f64 (*.f64 (-.f64 (pow.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 c a))) 3) (pow.f64 b_2 3)) 1) (*.f64 (+.f64 (fma.f64 b_2 b_2 (*.f64 c a)) (*.f64 b_2 (+.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 c a)))))) a))
(/.f64 (*.f64 (-.f64 (pow.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 c a))) 3) (pow.f64 b_2 3)) -1) (*.f64 (+.f64 (fma.f64 b_2 b_2 (*.f64 c a)) (*.f64 b_2 (+.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 c a)))))) a))
(/.f64 (*.f64 (-.f64 (fma.f64 b_2 b_2 (*.f64 c a)) (pow.f64 b_2 2)) 1) (*.f64 (+.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 c a))) b_2) a))
(/.f64 (*.f64 (-.f64 (fma.f64 b_2 b_2 (*.f64 c a)) (pow.f64 b_2 2)) -1) (*.f64 (+.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 c a))) b_2) a))
(/.f64 (*.f64 -1 (-.f64 (pow.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 c a))) 3) (pow.f64 b_2 3))) (*.f64 a (+.f64 (fma.f64 b_2 b_2 (*.f64 c a)) (*.f64 b_2 (+.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 c a))))))))
(/.f64 (*.f64 -1 (-.f64 (fma.f64 b_2 b_2 (*.f64 c a)) (pow.f64 b_2 2))) (*.f64 a (+.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 c a))) b_2)))
(/.f64 (neg.f64 (-.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 c a))) b_2)) a)
(/.f64 (/.f64 (-.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 c a))) b_2) (sqrt.f64 a)) (sqrt.f64 a))
(/.f64 (*.f64 (-.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 c a))) b_2) 1) a)
(/.f64 (*.f64 (-.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 c a))) b_2) -1) a)
(/.f64 (*.f64 (/.f64 1 a) (-.f64 (pow.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 c a))) 3) (pow.f64 b_2 3))) (+.f64 (fma.f64 b_2 b_2 (*.f64 c a)) (*.f64 b_2 (+.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 c a)))))))
(/.f64 (*.f64 (/.f64 1 a) (-.f64 (fma.f64 b_2 b_2 (*.f64 c a)) (pow.f64 b_2 2))) (+.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 c a))) b_2))
(/.f64 (*.f64 (-.f64 (pow.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 c a))) 3) (pow.f64 b_2 3)) (/.f64 1 a)) (+.f64 (fma.f64 b_2 b_2 (*.f64 c a)) (*.f64 b_2 (+.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 c a)))))))
(/.f64 (*.f64 (-.f64 (fma.f64 b_2 b_2 (*.f64 c a)) (pow.f64 b_2 2)) (/.f64 1 a)) (+.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 c a))) b_2))
(/.f64 (*.f64 -1 (-.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 c a))) b_2)) a)
(/.f64 (/.f64 (-.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 c a))) b_2) 1) a)
(/.f64 (/.f64 (-.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 c a))) b_2) (cbrt.f64 (pow.f64 a 2))) (cbrt.f64 a))
(pow.f64 (/.f64 (-.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 c a))) b_2) a) 1)
(pow.f64 (cbrt.f64 (/.f64 (-.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 c a))) b_2) a)) 3)
(pow.f64 (pow.f64 (/.f64 (-.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 c a))) b_2) a) 3) 1/3)
(pow.f64 (sqrt.f64 (/.f64 (-.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 c a))) b_2) a)) 2)
(sqrt.f64 (pow.f64 (/.f64 (-.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 c a))) b_2) a) 2))
(log.f64 (exp.f64 (/.f64 (-.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 c a))) b_2) a)))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (-.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 c a))) b_2) a))))
(cbrt.f64 (pow.f64 (/.f64 (-.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 c a))) b_2) a) 3))
(cbrt.f64 (*.f64 (pow.f64 (-.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 c a))) b_2) 3) (pow.f64 (/.f64 1 a) 3)))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 1 a) 3) (pow.f64 (-.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 c a))) b_2) 3)))
(cbrt.f64 (/.f64 (pow.f64 (-.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 c a))) b_2) 3) (pow.f64 a 3)))
(expm1.f64 (log1p.f64 (/.f64 (-.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 c a))) b_2) a)))
(log1p.f64 (expm1.f64 (/.f64 (-.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 c a))) b_2) a)))
(exp.f64 (log.f64 (/.f64 (-.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 c a))) b_2) a)))
(exp.f64 (*.f64 (log.f64 (/.f64 (-.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 c a))) b_2) a)) 1))
(-.f64 (exp.f64 (log1p.f64 (*.f64 -2 (/.f64 b_2 a)))) 1)
(*.f64 1 (*.f64 -2 (/.f64 b_2 a)))
(*.f64 (/.f64 1 a) (pow.f64 (/.f64 -1/2 b_2) -1))
(*.f64 -2 (/.f64 b_2 a))
(*.f64 (*.f64 b_2 -2) (/.f64 1 a))
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(*.f64 (-.f64 (*.f64 a (-.f64 (/.f64 (pow.f64 b_2 2) a) c)) (pow.f64 b_2 2)) (/.f64 1 (fma.f64 (sqrt.f64 (-.f64 (/.f64 (pow.f64 b_2 2) a) c)) (sqrt.f64 a) b_2)))
(*.f64 (+.f64 (sqrt.f64 (sqrt.f64 (*.f64 a (-.f64 (/.f64 (pow.f64 b_2 2) a) c)))) (sqrt.f64 b_2)) (-.f64 (sqrt.f64 (sqrt.f64 (*.f64 a (-.f64 (/.f64 (pow.f64 b_2 2) a) c)))) (sqrt.f64 b_2)))
(/.f64 1 (/.f64 (+.f64 (*.f64 a (-.f64 (/.f64 (pow.f64 b_2 2) a) c)) (*.f64 b_2 (+.f64 b_2 (sqrt.f64 (*.f64 a (-.f64 (/.f64 (pow.f64 b_2 2) a) c)))))) (-.f64 (pow.f64 (*.f64 a (-.f64 (/.f64 (pow.f64 b_2 2) a) c)) 3/2) (pow.f64 b_2 3))))
(/.f64 1 (/.f64 (fma.f64 (sqrt.f64 (-.f64 (/.f64 (pow.f64 b_2 2) a) c)) (sqrt.f64 a) b_2) (-.f64 (*.f64 a (-.f64 (/.f64 (pow.f64 b_2 2) a) c)) (pow.f64 b_2 2))))
(/.f64 (-.f64 (pow.f64 (*.f64 a (-.f64 (/.f64 (pow.f64 b_2 2) a) c)) 3/2) (pow.f64 b_2 3)) (+.f64 (*.f64 a (-.f64 (/.f64 (pow.f64 b_2 2) a) c)) (*.f64 b_2 (+.f64 b_2 (sqrt.f64 (*.f64 a (-.f64 (/.f64 (pow.f64 b_2 2) a) c)))))))
(/.f64 (-.f64 (*.f64 a (-.f64 (/.f64 (pow.f64 b_2 2) a) c)) (pow.f64 b_2 2)) (fma.f64 (sqrt.f64 (-.f64 (/.f64 (pow.f64 b_2 2) a) c)) (sqrt.f64 a) b_2))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 a (-.f64 (/.f64 (pow.f64 b_2 2) a) c)) 3/2) (pow.f64 b_2 3))) (neg.f64 (+.f64 (*.f64 a (-.f64 (/.f64 (pow.f64 b_2 2) a) c)) (*.f64 b_2 (+.f64 b_2 (sqrt.f64 (*.f64 a (-.f64 (/.f64 (pow.f64 b_2 2) a) c))))))))
(/.f64 (neg.f64 (-.f64 (*.f64 a (-.f64 (/.f64 (pow.f64 b_2 2) a) c)) (pow.f64 b_2 2))) (neg.f64 (fma.f64 (sqrt.f64 (-.f64 (/.f64 (pow.f64 b_2 2) a) c)) (sqrt.f64 a) b_2)))
(/.f64 (+.f64 (pow.f64 (*.f64 a (-.f64 (/.f64 (pow.f64 b_2 2) a) c)) 3/2) (pow.f64 (neg.f64 b_2) 3)) (+.f64 (*.f64 a (-.f64 (/.f64 (pow.f64 b_2 2) a) c)) (-.f64 (*.f64 (neg.f64 b_2) (neg.f64 b_2)) (*.f64 (sqrt.f64 (*.f64 a (-.f64 (/.f64 (pow.f64 b_2 2) a) c))) (neg.f64 b_2)))))
(/.f64 (-.f64 (*.f64 a (-.f64 (/.f64 (pow.f64 b_2 2) a) c)) (*.f64 (neg.f64 b_2) (neg.f64 b_2))) (-.f64 (sqrt.f64 (*.f64 a (-.f64 (/.f64 (pow.f64 b_2 2) a) c))) (neg.f64 b_2)))
(pow.f64 (-.f64 (sqrt.f64 (*.f64 a (-.f64 (/.f64 (pow.f64 b_2 2) a) c))) b_2) 1)
(pow.f64 (cbrt.f64 (-.f64 (sqrt.f64 (*.f64 a (-.f64 (/.f64 (pow.f64 b_2 2) a) c))) b_2)) 3)
(pow.f64 (pow.f64 (-.f64 (sqrt.f64 (*.f64 a (-.f64 (/.f64 (pow.f64 b_2 2) a) c))) b_2) 3) 1/3)
(pow.f64 (sqrt.f64 (-.f64 (sqrt.f64 (*.f64 a (-.f64 (/.f64 (pow.f64 b_2 2) a) c))) b_2)) 2)
(sqrt.f64 (pow.f64 (-.f64 (sqrt.f64 (*.f64 a (-.f64 (/.f64 (pow.f64 b_2 2) a) c))) b_2) 2))
(log.f64 (exp.f64 (-.f64 (sqrt.f64 (*.f64 a (-.f64 (/.f64 (pow.f64 b_2 2) a) c))) b_2)))
(log.f64 (+.f64 1 (expm1.f64 (-.f64 (sqrt.f64 (*.f64 a (-.f64 (/.f64 (pow.f64 b_2 2) a) c))) b_2))))
(cbrt.f64 (pow.f64 (-.f64 (sqrt.f64 (*.f64 a (-.f64 (/.f64 (pow.f64 b_2 2) a) c))) b_2) 3))
(expm1.f64 (log1p.f64 (-.f64 (sqrt.f64 (*.f64 a (-.f64 (/.f64 (pow.f64 b_2 2) a) c))) b_2)))
(log1p.f64 (expm1.f64 (-.f64 (sqrt.f64 (*.f64 a (-.f64 (/.f64 (pow.f64 b_2 2) a) c))) b_2)))
(exp.f64 (log.f64 (-.f64 (sqrt.f64 (*.f64 a (-.f64 (/.f64 (pow.f64 b_2 2) a) c))) b_2)))
(exp.f64 (*.f64 (log.f64 (-.f64 (sqrt.f64 (*.f64 a (-.f64 (/.f64 (pow.f64 b_2 2) a) c))) b_2)) 1))
(fma.f64 1 (sqrt.f64 (*.f64 a (-.f64 (/.f64 (pow.f64 b_2 2) a) c))) (neg.f64 b_2))
(fma.f64 (sqrt.f64 (-.f64 (/.f64 (pow.f64 b_2 2) a) c)) (sqrt.f64 a) (neg.f64 b_2))
(fma.f64 (sqrt.f64 a) (sqrt.f64 (-.f64 (/.f64 (pow.f64 b_2 2) a) c)) (neg.f64 b_2))
(fma.f64 (cbrt.f64 (*.f64 a (-.f64 (/.f64 (pow.f64 b_2 2) a) c))) (cbrt.f64 (sqrt.f64 (*.f64 a (-.f64 (/.f64 (pow.f64 b_2 2) a) c)))) (neg.f64 b_2))
(fma.f64 (sqrt.f64 (sqrt.f64 (*.f64 a (-.f64 (/.f64 (pow.f64 b_2 2) a) c)))) (sqrt.f64 (sqrt.f64 (*.f64 a (-.f64 (/.f64 (pow.f64 b_2 2) a) c)))) (neg.f64 b_2))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (*.f64 a (-.f64 (/.f64 (pow.f64 b_2 2) a) c))))) 1)
(pow.f64 (sqrt.f64 (*.f64 a (-.f64 (/.f64 (pow.f64 b_2 2) a) c))) 1)
(pow.f64 (cbrt.f64 (sqrt.f64 (*.f64 a (-.f64 (/.f64 (pow.f64 b_2 2) a) c)))) 3)
(pow.f64 (*.f64 a (-.f64 (/.f64 (pow.f64 b_2 2) a) c)) 1/2)
(pow.f64 (pow.f64 (*.f64 a (-.f64 (/.f64 (pow.f64 b_2 2) a) c)) 3/2) 1/3)
(pow.f64 (sqrt.f64 (sqrt.f64 (*.f64 a (-.f64 (/.f64 (pow.f64 b_2 2) a) c)))) 2)
(sqrt.f64 (*.f64 a (-.f64 (/.f64 (pow.f64 b_2 2) a) c)))
(log.f64 (exp.f64 (sqrt.f64 (*.f64 a (-.f64 (/.f64 (pow.f64 b_2 2) a) c)))))
(log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (*.f64 a (-.f64 (/.f64 (pow.f64 b_2 2) a) c))))))
(cbrt.f64 (pow.f64 (*.f64 a (-.f64 (/.f64 (pow.f64 b_2 2) a) c)) 3/2))
(expm1.f64 (log1p.f64 (sqrt.f64 (*.f64 a (-.f64 (/.f64 (pow.f64 b_2 2) a) c)))))
(log1p.f64 (expm1.f64 (sqrt.f64 (*.f64 a (-.f64 (/.f64 (pow.f64 b_2 2) a) c)))))
(exp.f64 (log.f64 (sqrt.f64 (*.f64 a (-.f64 (/.f64 (pow.f64 b_2 2) a) c)))))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 a (-.f64 (/.f64 (pow.f64 b_2 2) a) c)))) 1))
(+.f64 (/.f64 (sqrt.f64 (*.f64 a (-.f64 (/.f64 (pow.f64 b_2 2) a) c))) a) (neg.f64 (/.f64 b_2 a)))
(-.f64 (/.f64 (sqrt.f64 (*.f64 a (-.f64 (/.f64 (pow.f64 b_2 2) a) c))) a) (/.f64 b_2 a))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (-.f64 (sqrt.f64 (*.f64 a (-.f64 (/.f64 (pow.f64 b_2 2) a) c))) b_2) a))) 1)
(*.f64 1 (/.f64 (-.f64 (sqrt.f64 (*.f64 a (-.f64 (/.f64 (pow.f64 b_2 2) a) c))) b_2) a))
(*.f64 (-.f64 (sqrt.f64 (*.f64 a (-.f64 (/.f64 (pow.f64 b_2 2) a) c))) b_2) (/.f64 1 a))
(*.f64 (cbrt.f64 (/.f64 (-.f64 (sqrt.f64 (*.f64 a (-.f64 (/.f64 (pow.f64 b_2 2) a) c))) b_2) a)) (pow.f64 (cbrt.f64 (/.f64 (-.f64 (sqrt.f64 (*.f64 a (-.f64 (/.f64 (pow.f64 b_2 2) a) c))) b_2) a)) 2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 (sqrt.f64 (*.f64 a (-.f64 (/.f64 (pow.f64 b_2 2) a) c))) b_2) a)) 2) (cbrt.f64 (/.f64 (-.f64 (sqrt.f64 (*.f64 a (-.f64 (/.f64 (pow.f64 b_2 2) a) c))) b_2) a)))
(*.f64 (cbrt.f64 (pow.f64 (-.f64 (sqrt.f64 (*.f64 a (-.f64 (/.f64 (pow.f64 b_2 2) a) c))) b_2) 2)) (*.f64 (cbrt.f64 (-.f64 (sqrt.f64 (*.f64 a (-.f64 (/.f64 (pow.f64 b_2 2) a) c))) b_2)) (/.f64 1 a)))
(*.f64 (pow.f64 a -1/2) (/.f64 (-.f64 (sqrt.f64 (*.f64 a (-.f64 (/.f64 (pow.f64 b_2 2) a) c))) b_2) (sqrt.f64 a)))
(*.f64 (sqrt.f64 (/.f64 (-.f64 (sqrt.f64 (*.f64 a (-.f64 (/.f64 (pow.f64 b_2 2) a) c))) b_2) a)) (sqrt.f64 (/.f64 (-.f64 (sqrt.f64 (*.f64 a (-.f64 (/.f64 (pow.f64 b_2 2) a) c))) b_2) a)))
(*.f64 (sqrt.f64 (-.f64 (sqrt.f64 (*.f64 a (-.f64 (/.f64 (pow.f64 b_2 2) a) c))) b_2)) (*.f64 (sqrt.f64 (-.f64 (sqrt.f64 (*.f64 a (-.f64 (/.f64 (pow.f64 b_2 2) a) c))) b_2)) (/.f64 1 a)))
(*.f64 (neg.f64 (-.f64 (sqrt.f64 (*.f64 a (-.f64 (/.f64 (pow.f64 b_2 2) a) c))) b_2)) (/.f64 1 a))
(*.f64 (*.f64 (-.f64 (sqrt.f64 (*.f64 a (-.f64 (/.f64 (pow.f64 b_2 2) a) c))) b_2) 1) (/.f64 1 a))
(*.f64 (/.f64 1 (cbrt.f64 (pow.f64 a 2))) (/.f64 (-.f64 (sqrt.f64 (*.f64 a (-.f64 (/.f64 (pow.f64 b_2 2) a) c))) b_2) (cbrt.f64 a)))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (-.f64 (sqrt.f64 (*.f64 a (-.f64 (/.f64 (pow.f64 b_2 2) a) c))) b_2) 2)) 1) (/.f64 (cbrt.f64 (-.f64 (sqrt.f64 (*.f64 a (-.f64 (/.f64 (pow.f64 b_2 2) a) c))) b_2)) a))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (-.f64 (sqrt.f64 (*.f64 a (-.f64 (/.f64 (pow.f64 b_2 2) a) c))) b_2) 2)) (sqrt.f64 a)) (/.f64 (cbrt.f64 (-.f64 (sqrt.f64 (*.f64 a (-.f64 (/.f64 (pow.f64 b_2 2) a) c))) b_2)) (sqrt.f64 a)))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (-.f64 (sqrt.f64 (*.f64 a (-.f64 (/.f64 (pow.f64 b_2 2) a) c))) b_2) 2)) (cbrt.f64 (pow.f64 a 2))) (cbrt.f64 (/.f64 (-.f64 (sqrt.f64 (*.f64 a (-.f64 (/.f64 (pow.f64 b_2 2) a) c))) b_2) a)))
(*.f64 (/.f64 (sqrt.f64 (-.f64 (sqrt.f64 (*.f64 a (-.f64 (/.f64 (pow.f64 b_2 2) a) c))) b_2)) 1) (/.f64 (sqrt.f64 (-.f64 (sqrt.f64 (*.f64 a (-.f64 (/.f64 (pow.f64 b_2 2) a) c))) b_2)) a))
(*.f64 (/.f64 (sqrt.f64 (-.f64 (sqrt.f64 (*.f64 a (-.f64 (/.f64 (pow.f64 b_2 2) a) c))) b_2)) (cbrt.f64 (pow.f64 a 2))) (/.f64 (sqrt.f64 (-.f64 (sqrt.f64 (*.f64 a (-.f64 (/.f64 (pow.f64 b_2 2) a) c))) b_2)) (cbrt.f64 a)))
(*.f64 (*.f64 (-.f64 (sqrt.f64 (*.f64 a (-.f64 (/.f64 (pow.f64 b_2 2) a) c))) b_2) (cbrt.f64 (pow.f64 a -2))) (/.f64 1 (cbrt.f64 a)))
(*.f64 (*.f64 (-.f64 (sqrt.f64 (*.f64 a (-.f64 (/.f64 (pow.f64 b_2 2) a) c))) b_2) (pow.f64 a -1/2)) (pow.f64 a -1/2))
(pow.f64 (/.f64 (-.f64 (sqrt.f64 (*.f64 a (-.f64 (/.f64 (pow.f64 b_2 2) a) c))) b_2) a) 1)
(pow.f64 (cbrt.f64 (/.f64 (-.f64 (sqrt.f64 (*.f64 a (-.f64 (/.f64 (pow.f64 b_2 2) a) c))) b_2) a)) 3)
(pow.f64 (pow.f64 (/.f64 (-.f64 (sqrt.f64 (*.f64 a (-.f64 (/.f64 (pow.f64 b_2 2) a) c))) b_2) a) 3) 1/3)
(pow.f64 (sqrt.f64 (/.f64 (-.f64 (sqrt.f64 (*.f64 a (-.f64 (/.f64 (pow.f64 b_2 2) a) c))) b_2) a)) 2)
(pow.f64 (/.f64 a (-.f64 (sqrt.f64 (*.f64 a (-.f64 (/.f64 (pow.f64 b_2 2) a) c))) b_2)) -1)
(neg.f64 (/.f64 (-.f64 (sqrt.f64 (*.f64 a (-.f64 (/.f64 (pow.f64 b_2 2) a) c))) b_2) a))
(sqrt.f64 (pow.f64 (/.f64 (-.f64 (sqrt.f64 (*.f64 a (-.f64 (/.f64 (pow.f64 b_2 2) a) c))) b_2) a) 2))
(log.f64 (exp.f64 (/.f64 (-.f64 (sqrt.f64 (*.f64 a (-.f64 (/.f64 (pow.f64 b_2 2) a) c))) b_2) a)))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (-.f64 (sqrt.f64 (*.f64 a (-.f64 (/.f64 (pow.f64 b_2 2) a) c))) b_2) a))))
(cbrt.f64 (pow.f64 (/.f64 (-.f64 (sqrt.f64 (*.f64 a (-.f64 (/.f64 (pow.f64 b_2 2) a) c))) b_2) a) 3))
(cbrt.f64 (*.f64 (pow.f64 (-.f64 (sqrt.f64 (*.f64 a (-.f64 (/.f64 (pow.f64 b_2 2) a) c))) b_2) 3) (pow.f64 (/.f64 1 a) 3)))
(cbrt.f64 (/.f64 (pow.f64 (-.f64 (sqrt.f64 (*.f64 a (-.f64 (/.f64 (pow.f64 b_2 2) a) c))) b_2) 3) (pow.f64 a 3)))
(expm1.f64 (log1p.f64 (/.f64 (-.f64 (sqrt.f64 (*.f64 a (-.f64 (/.f64 (pow.f64 b_2 2) a) c))) b_2) a)))
(log1p.f64 (expm1.f64 (/.f64 (-.f64 (sqrt.f64 (*.f64 a (-.f64 (/.f64 (pow.f64 b_2 2) a) c))) b_2) a)))
(exp.f64 (log.f64 (/.f64 (-.f64 (sqrt.f64 (*.f64 a (-.f64 (/.f64 (pow.f64 b_2 2) a) c))) b_2) a)))
(exp.f64 (*.f64 (log.f64 (/.f64 (-.f64 (sqrt.f64 (*.f64 a (-.f64 (/.f64 (pow.f64 b_2 2) a) c))) b_2) a)) 1))

eval256.0ms (2.8%)

Compiler

Compiled 14038 to 8874 computations (36.8% saved)

prune129.0ms (1.4%)

Pruning

34 alts after pruning (26 fresh and 8 done)

PrunedKeptTotal
New64717664
Fresh7916
Picked055
Done033
Total65434688
Accuracy
96.1%
Counts
688 → 34
Alt Table
Click to see full alt table
StatusAccuracyProgram
22.8%
(pow.f64 (pow.f64 (/.f64 -1/2 (/.f64 b_2 c)) 1/3) 3)
50.5%
(pow.f64 (/.f64 a (-.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 c (neg.f64 a)))) b_2)) -1)
28.9%
(pow.f64 (/.f64 a (*.f64 -2 b_2)) -1)
36.0%
(pow.f64 (*.f64 (pow.f64 (pow.f64 (cbrt.f64 (/.f64 -1/2 (/.f64 b_2 c))) 2) 1/3) (cbrt.f64 (cbrt.f64 (/.f64 -1/2 (/.f64 b_2 c))))) 3)
22.8%
(pow.f64 (exp.f64 (*.f64 (log.f64 (/.f64 -1/2 (/.f64 b_2 c))) 1/3)) 3)
38.2%
(pow.f64 (cbrt.f64 (*.f64 -1/2 (/.f64 c b_2))) 3)
22.8%
(/.f64 (/.f64 (*.f64 b_2 -2) (cbrt.f64 (pow.f64 a 2))) (cbrt.f64 a))
45.1%
(/.f64 (/.f64 (*.f64 -1 (*.f64 a c)) (-.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 c (neg.f64 a)))) (neg.f64 b_2))) a)
28.6%
(/.f64 (/.f64 1 (pow.f64 (cbrt.f64 (*.f64 a (/.f64 -1/2 b_2))) 2)) (cbrt.f64 (*.f64 a (/.f64 -1/2 b_2))))
28.9%
(/.f64 (/.f64 1 a) (/.f64 -1/2 b_2))
27.3%
(/.f64 (-.f64 (*.f64 (pow.f64 (pow.f64 (-.f64 (/.f64 (pow.f64 b_2 2) a) c) 1/4) 2) (sqrt.f64 a)) b_2) a)
27.4%
(/.f64 (-.f64 (*.f64 (sqrt.f64 (-.f64 (/.f64 (pow.f64 b_2 2) a) c)) (sqrt.f64 a)) b_2) a)
49.3%
(/.f64 (-.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) b_2) a)
46.4%
(/.f64 (-.f64 (sqrt.f64 (*.f64 a (-.f64 (*.f64 (/.f64 b_2 1) (/.f64 b_2 a)) c))) b_2) a)
34.9%
(/.f64 (-.f64 (sqrt.f64 (*.f64 -1 (*.f64 a c))) b_2) a)
36.5%
(/.f64 (-.f64 (cbrt.f64 (pow.f64 (-.f64 (pow.f64 b_2 2) (*.f64 a c)) 3/2)) b_2) a)
38.9%
(/.f64 (*.f64 c -1/2) b_2)
2.6%
(/.f64 (*.f64 b_2 2) a)
27.2%
(/.f64 (*.f64 a (+.f64 (*.f64 -1/2 (/.f64 c b_2)) (*.f64 -1/8 (/.f64 (*.f64 a (pow.f64 c 2)) (pow.f64 b_2 3))))) a)
29.0%
(/.f64 (*.f64 -2 b_2) a)
10.9%
(/.f64 (neg.f64 (*.f64 -1/2 c)) b_2)
47.8%
(/.f64 (exp.f64 (log.f64 (-.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 c (neg.f64 a)))) b_2))) a)
28.9%
(/.f64 1 (*.f64 a (/.f64 -1/2 b_2)))
38.5%
(/.f64 -1/2 (/.f64 b_2 c))
2.6%
(/.f64 -1 (*.f64 a (/.f64 -1/2 b_2)))
28.7%
(*.f64 (pow.f64 (cbrt.f64 (*.f64 -2 (/.f64 b_2 a))) 2) (cbrt.f64 (*.f64 -2 (/.f64 b_2 a))))
19.9%
(*.f64 (/.f64 (cbrt.f64 (*.f64 (pow.f64 b_2 2) 4)) 1) (/.f64 (cbrt.f64 (*.f64 b_2 -2)) a))
49.8%
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 a) 2)) (/.f64 (-.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 c (neg.f64 a)))) b_2) (cbrt.f64 a)))
28.9%
(*.f64 (/.f64 1 a) (pow.f64 (/.f64 -1/2 b_2) -1))
50.5%
(*.f64 (/.f64 1 a) (-.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 c (neg.f64 a)))) b_2))
46.0%
(*.f64 (-.f64 (sqrt.f64 (*.f64 a (-.f64 (/.f64 (pow.f64 b_2 2) a) c))) b_2) (/.f64 1 a))
36.8%
(*.f64 c (-.f64 (*.f64 -1/8 (/.f64 (*.f64 a c) (pow.f64 b_2 3))) (*.f64 1/2 (/.f64 1 b_2))))
18.2%
(expm1.f64 (log1p.f64 (*.f64 -2 (/.f64 b_2 a))))
28.9%
(cbrt.f64 (pow.f64 (/.f64 (-.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 c (neg.f64 a)))) b_2) a) 3))
Compiler

Compiled 907 to 671 computations (26% saved)

localize514.0ms (5.6%)

Localize:

Found 14 expressions with local error:

NewAccuracyProgram
99.7%
(/.f64 (cbrt.f64 (*.f64 b_2 -2)) a)
99.7%
(*.f64 (/.f64 (cbrt.f64 (*.f64 (pow.f64 b_2 2) 4)) 1) (/.f64 (cbrt.f64 (*.f64 b_2 -2)) a))
99.4%
(cbrt.f64 (*.f64 b_2 -2))
70.9%
(cbrt.f64 (*.f64 (pow.f64 b_2 2) 4))
94.8%
(*.f64 a (-.f64 (/.f64 (pow.f64 b_2 2) a) c))
93.3%
(/.f64 (pow.f64 b_2 2) a)
89.8%
(-.f64 (sqrt.f64 (*.f64 a (-.f64 (/.f64 (pow.f64 b_2 2) a) c))) b_2)
80.6%
(sqrt.f64 (*.f64 a (-.f64 (/.f64 (pow.f64 b_2 2) a) c)))
99.7%
(/.f64 (/.f64 1 a) (/.f64 -1/2 b_2))
99.6%
(/.f64 -1/2 (/.f64 b_2 c))
99.3%
(/.f64 (-.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 c (neg.f64 a)))) b_2) (cbrt.f64 a))
96.1%
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 a) 2)) (/.f64 (-.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 c (neg.f64 a)))) b_2) (cbrt.f64 a)))
89.8%
(-.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 c (neg.f64 a)))) b_2)
87.1%
(sqrt.f64 (*.f64 c (neg.f64 a)))
Compiler

Compiled 233 to 123 computations (47.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 264.0ms
Operation ival-div, time spent: 71.0ms, 27.0% of total-time
Operation ival-pow, time spent: 50.0ms, 19.0% of total-time
Operation ival-mult, time spent: 47.0ms, 18.0% of total-time
Operation ival-cbrt, time spent: 26.0ms, 10.0% of total-time
Operation ival-sqrt, time spent: 23.0ms, 9.0% of total-time
Operation ival-sub, time spent: 20.0ms, 8.0% of total-time
Operation composed, time spent: 13.0ms, 5.0% of total-time
Operation const, time spent: 10.0ms, 4.0% of total-time
Operation ival-neg, time spent: 2.0ms, 1.0% of total-time
Operation ival-add, time spent: 2.0ms, 1.0% of total-time

series149.0ms (1.6%)

Counts
14 → 360
Calls

96 calls:

TimeVariablePointExpression
50.0ms
a
@0
(*.f64 (/.f64 (cbrt.f64 (*.f64 (pow.f64 b_2 2) 4)) 1) (/.f64 (cbrt.f64 (*.f64 b_2 -2)) a))
4.0ms
b_2
@0
(cbrt.f64 (*.f64 (pow.f64 b_2 2) 4))
3.0ms
a
@inf
(sqrt.f64 (*.f64 a (-.f64 (/.f64 (pow.f64 b_2 2) a) c)))
3.0ms
b_2
@0
(cbrt.f64 (*.f64 b_2 -2))
3.0ms
b_2
@0
(/.f64 (-.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 c (neg.f64 a)))) b_2) (cbrt.f64 a))

rewrite165.0ms (1.8%)

Algorithm
batch-egg-rewrite
Rules
336×frac-times
317×log1p-expm1-u
317×expm1-log1p-u
315×add-cube-cbrt
311×add-exp-log
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
043456
1739436
Stop Event
node limit
Counts
14 → 386
Calls
Call 1
Inputs
(sqrt.f64 (*.f64 c (neg.f64 a)))
(-.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 c (neg.f64 a)))) b_2)
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 a) 2)) (/.f64 (-.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 c (neg.f64 a)))) b_2) (cbrt.f64 a)))
(/.f64 (-.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 c (neg.f64 a)))) b_2) (cbrt.f64 a))
(/.f64 -1/2 (/.f64 b_2 c))
(/.f64 (/.f64 1 a) (/.f64 -1/2 b_2))
(sqrt.f64 (*.f64 a (-.f64 (/.f64 (pow.f64 b_2 2) a) c)))
(-.f64 (sqrt.f64 (*.f64 a (-.f64 (/.f64 (pow.f64 b_2 2) a) c))) b_2)
(/.f64 (pow.f64 b_2 2) a)
(*.f64 a (-.f64 (/.f64 (pow.f64 b_2 2) a) c))
(cbrt.f64 (*.f64 (pow.f64 b_2 2) 4))
(cbrt.f64 (*.f64 b_2 -2))
(*.f64 (/.f64 (cbrt.f64 (*.f64 (pow.f64 b_2 2) 4)) 1) (/.f64 (cbrt.f64 (*.f64 b_2 -2)) a))
(/.f64 (cbrt.f64 (*.f64 b_2 -2)) a)
Outputs
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (*.f64 c a)))) 1)
(*.f64 1 (sqrt.f64 (*.f64 c a)))
(*.f64 (cbrt.f64 (*.f64 c a)) (cbrt.f64 (sqrt.f64 (*.f64 c a))))
(*.f64 (sqrt.f64 a) (sqrt.f64 c))
(*.f64 (sqrt.f64 c) (sqrt.f64 a))
(*.f64 (pow.f64 (*.f64 c a) 1/4) (pow.f64 (*.f64 c a) 1/4))
(*.f64 (pow.f64 1 1/2) (sqrt.f64 (*.f64 c a)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (*.f64 c a)) 2) 1/2) (pow.f64 (cbrt.f64 (*.f64 c a)) 1/2))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 c a)) 2)) (sqrt.f64 (cbrt.f64 (*.f64 c a))))
(pow.f64 (*.f64 c a) 1/2)
(pow.f64 (sqrt.f64 (*.f64 c a)) 1)
(pow.f64 (cbrt.f64 (sqrt.f64 (*.f64 c a))) 3)
(pow.f64 (pow.f64 (*.f64 c a) 3/2) 1/3)
(pow.f64 (pow.f64 (*.f64 c a) 1/4) 2)
(fabs.f64 (sqrt.f64 (*.f64 c a)))
(log.f64 (exp.f64 (sqrt.f64 (*.f64 c a))))
(log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (*.f64 c a)))))
(cbrt.f64 (pow.f64 (*.f64 c a) 3/2))
(expm1.f64 (log1p.f64 (sqrt.f64 (*.f64 c a))))
(log1p.f64 (expm1.f64 (sqrt.f64 (*.f64 c a))))
(exp.f64 (log.f64 (sqrt.f64 (*.f64 c a))))
(exp.f64 (*.f64 (log.f64 (*.f64 c a)) 1/2))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 c a))) 1))
(+.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 c a))) (neg.f64 b_2))
(+.f64 (-.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 c a))) b_2) (fma.f64 (neg.f64 (sqrt.f64 b_2)) (sqrt.f64 b_2) b_2))
(+.f64 (fma.f64 1 (hypot.f64 b_2 (sqrt.f64 (*.f64 c a))) (neg.f64 (*.f64 b_2 1))) (fma.f64 (neg.f64 b_2) 1 (*.f64 b_2 1)))
(+.f64 (fma.f64 1 (hypot.f64 b_2 (sqrt.f64 (*.f64 c a))) (neg.f64 (*.f64 (cbrt.f64 b_2) (pow.f64 (cbrt.f64 b_2) 2)))) (fma.f64 (neg.f64 (cbrt.f64 b_2)) (pow.f64 (cbrt.f64 b_2) 2) (*.f64 (cbrt.f64 b_2) (pow.f64 (cbrt.f64 b_2) 2))))
(+.f64 (fma.f64 (cbrt.f64 (fma.f64 b_2 b_2 (*.f64 c a))) (cbrt.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 c a)))) (neg.f64 (*.f64 b_2 1))) (fma.f64 (neg.f64 b_2) 1 (*.f64 b_2 1)))
(+.f64 (fma.f64 (cbrt.f64 (fma.f64 b_2 b_2 (*.f64 c a))) (cbrt.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 c a)))) (neg.f64 (*.f64 (cbrt.f64 b_2) (pow.f64 (cbrt.f64 b_2) 2)))) (fma.f64 (neg.f64 (cbrt.f64 b_2)) (pow.f64 (cbrt.f64 b_2) 2) (*.f64 (cbrt.f64 b_2) (pow.f64 (cbrt.f64 b_2) 2))))
(+.f64 (fma.f64 (sqrt.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 c a)))) (sqrt.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 c a)))) (neg.f64 (*.f64 b_2 1))) (fma.f64 (neg.f64 b_2) 1 (*.f64 b_2 1)))
(+.f64 (fma.f64 (sqrt.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 c a)))) (sqrt.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 c a)))) (neg.f64 (*.f64 (cbrt.f64 b_2) (pow.f64 (cbrt.f64 b_2) 2)))) (fma.f64 (neg.f64 (cbrt.f64 b_2)) (pow.f64 (cbrt.f64 b_2) 2) (*.f64 (cbrt.f64 b_2) (pow.f64 (cbrt.f64 b_2) 2))))
(*.f64 1 (-.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 c a))) b_2))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 c a))) b_2)) 2) (cbrt.f64 (-.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 c a))) b_2)))
(*.f64 (sqrt.f64 (-.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 c a))) b_2)) (sqrt.f64 (-.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 c a))) b_2)))
(/.f64 (-.f64 (pow.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 c a))) 3) (pow.f64 b_2 3)) (+.f64 (fma.f64 b_2 b_2 (*.f64 c a)) (fma.f64 b_2 b_2 (*.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 c a))) b_2))))
(/.f64 (-.f64 (fma.f64 b_2 b_2 (*.f64 c a)) (pow.f64 b_2 2)) (+.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 c a))) b_2))
(/.f64 (neg.f64 (-.f64 (pow.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 c a))) 3) (pow.f64 b_2 3))) (neg.f64 (+.f64 (fma.f64 b_2 b_2 (*.f64 c a)) (fma.f64 b_2 b_2 (*.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 c a))) b_2)))))
(/.f64 (neg.f64 (-.f64 (fma.f64 b_2 b_2 (*.f64 c a)) (pow.f64 b_2 2))) (neg.f64 (+.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 c a))) b_2)))
(pow.f64 (-.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 c a))) b_2) 1)
(pow.f64 (cbrt.f64 (-.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 c a))) b_2)) 3)
(pow.f64 (pow.f64 (-.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 c a))) b_2) 3) 1/3)
(pow.f64 (sqrt.f64 (-.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 c a))) b_2)) 2)
(sqrt.f64 (pow.f64 (-.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 c a))) b_2) 2))
(log.f64 (exp.f64 (-.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 c a))) b_2)))
(log.f64 (+.f64 1 (expm1.f64 (-.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 c a))) b_2))))
(cbrt.f64 (pow.f64 (-.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 c a))) b_2) 3))
(expm1.f64 (log1p.f64 (-.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 c a))) b_2)))
(log1p.f64 (expm1.f64 (-.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 c a))) b_2)))
(exp.f64 (log.f64 (-.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 c a))) b_2)))
(exp.f64 (*.f64 (log.f64 (-.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 c a))) b_2)) 1))
(fma.f64 1 (hypot.f64 b_2 (sqrt.f64 (*.f64 c a))) (neg.f64 b_2))
(fma.f64 (cbrt.f64 (fma.f64 b_2 b_2 (*.f64 c a))) (cbrt.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 c a)))) (neg.f64 b_2))
(fma.f64 (sqrt.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 c a)))) (sqrt.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 c a)))) (neg.f64 b_2))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (-.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 c a))) b_2) a))) 1)
(-.f64 (/.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 c a))) a) (/.f64 b_2 a))
(-.f64 (/.f64 (/.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 c a))) (cbrt.f64 a)) (cbrt.f64 (pow.f64 a 2))) (/.f64 (/.f64 b_2 (cbrt.f64 a)) (cbrt.f64 (pow.f64 a 2))))
(/.f64 (-.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 c a))) b_2) a)
(/.f64 (-.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 c a))) b_2) (*.f64 (/.f64 (cbrt.f64 (pow.f64 a 2)) 1) (cbrt.f64 a)))
(/.f64 1 (*.f64 (cbrt.f64 (pow.f64 a 2)) (/.f64 (cbrt.f64 a) (-.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 c a))) b_2))))
(/.f64 1 (*.f64 (/.f64 (cbrt.f64 (pow.f64 a 2)) 1) (/.f64 (cbrt.f64 a) (-.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 c a))) b_2))))
(/.f64 1 (*.f64 (/.f64 (cbrt.f64 a) (-.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 c a))) b_2)) (cbrt.f64 (pow.f64 a 2))))
(/.f64 1 (*.f64 (/.f64 (cbrt.f64 a) (-.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 c a))) b_2)) (/.f64 (cbrt.f64 (pow.f64 a 2)) 1)))
(/.f64 (/.f64 (-.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 c a))) b_2) (cbrt.f64 a)) (cbrt.f64 (pow.f64 a 2)))
(/.f64 -1 (*.f64 (neg.f64 (cbrt.f64 (pow.f64 a 2))) (/.f64 (cbrt.f64 a) (-.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 c a))) b_2))))
(/.f64 -1 (*.f64 (/.f64 (cbrt.f64 a) (-.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 c a))) b_2)) (neg.f64 (cbrt.f64 (pow.f64 a 2)))))
(/.f64 (neg.f64 (-.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 c a))) b_2)) a)
(/.f64 (*.f64 (cbrt.f64 (pow.f64 a -2)) (-.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 c a))) b_2)) (cbrt.f64 a))
(/.f64 (*.f64 1 (neg.f64 (-.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 c a))) b_2))) (*.f64 (cbrt.f64 (pow.f64 a 2)) (neg.f64 (cbrt.f64 a))))
(/.f64 (*.f64 1 (neg.f64 (-.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 c a))) b_2))) (*.f64 (/.f64 (cbrt.f64 (pow.f64 a 2)) 1) (neg.f64 (cbrt.f64 a))))
(/.f64 (*.f64 -1 (-.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 c a))) b_2)) (*.f64 (neg.f64 (cbrt.f64 (pow.f64 a 2))) (cbrt.f64 a)))
(/.f64 (*.f64 -1 (neg.f64 (-.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 c a))) b_2))) (*.f64 (neg.f64 (cbrt.f64 (pow.f64 a 2))) (neg.f64 (cbrt.f64 a))))
(/.f64 (*.f64 (-.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 c a))) b_2) 1) (*.f64 (cbrt.f64 a) (cbrt.f64 (pow.f64 a 2))))
(/.f64 (*.f64 (-.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 c a))) b_2) 1) (*.f64 (cbrt.f64 a) (/.f64 (cbrt.f64 (pow.f64 a 2)) 1)))
(/.f64 (*.f64 (-.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 c a))) b_2) -1) (*.f64 (cbrt.f64 a) (neg.f64 (cbrt.f64 (pow.f64 a 2)))))
(/.f64 (*.f64 (neg.f64 (-.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 c a))) b_2)) 1) (*.f64 (neg.f64 (cbrt.f64 a)) (cbrt.f64 (pow.f64 a 2))))
(/.f64 (*.f64 (neg.f64 (-.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 c a))) b_2)) 1) (*.f64 (neg.f64 (cbrt.f64 a)) (/.f64 (cbrt.f64 (pow.f64 a 2)) 1)))
(/.f64 (*.f64 (neg.f64 (-.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 c a))) b_2)) -1) (*.f64 (neg.f64 (cbrt.f64 a)) (neg.f64 (cbrt.f64 (pow.f64 a 2)))))
(/.f64 (neg.f64 (/.f64 (-.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 c a))) b_2) (cbrt.f64 a))) (neg.f64 (cbrt.f64 (pow.f64 a 2))))
(/.f64 (neg.f64 (*.f64 (cbrt.f64 (pow.f64 a -2)) (-.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 c a))) b_2))) (neg.f64 (cbrt.f64 a)))
(pow.f64 (/.f64 (-.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 c a))) b_2) a) 1)
(pow.f64 (cbrt.f64 (/.f64 (-.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 c a))) b_2) a)) 3)
(pow.f64 (pow.f64 (/.f64 (-.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 c a))) b_2) a) 3) 1/3)
(pow.f64 (sqrt.f64 (/.f64 (-.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 c a))) b_2) a)) 2)
(sqrt.f64 (pow.f64 (/.f64 (-.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 c a))) b_2) a) 2))
(log.f64 (exp.f64 (/.f64 (-.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 c a))) b_2) a)))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (-.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 c a))) b_2) a))))
(cbrt.f64 (pow.f64 (/.f64 (-.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 c a))) b_2) a) 3))
(cbrt.f64 (*.f64 (pow.f64 a -2) (pow.f64 (/.f64 (-.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 c a))) b_2) (cbrt.f64 a)) 3)))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 (-.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 c a))) b_2) (cbrt.f64 a)) 3) (pow.f64 a -2)))
(cbrt.f64 (/.f64 (pow.f64 (-.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 c a))) b_2) 3) (pow.f64 a 3)))
(cbrt.f64 (/.f64 (pow.f64 (/.f64 (-.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 c a))) b_2) (cbrt.f64 a)) 3) (pow.f64 a 2)))
(expm1.f64 (log1p.f64 (/.f64 (-.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 c a))) b_2) a)))
(log1p.f64 (expm1.f64 (/.f64 (-.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 c a))) b_2) a)))
(exp.f64 (log.f64 (/.f64 (-.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 c a))) b_2) a)))
(exp.f64 (*.f64 (log.f64 (/.f64 (-.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 c a))) b_2) a)) 1))
(-.f64 (/.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 c a))) (cbrt.f64 a)) (/.f64 b_2 (cbrt.f64 a)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (-.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 c a))) b_2) (cbrt.f64 a)))) 1)
(*.f64 (-.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 c a))) b_2) (/.f64 1 (cbrt.f64 a)))
(*.f64 1 (/.f64 (-.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 c a))) b_2) (cbrt.f64 a)))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 c a))) b_2) (cbrt.f64 a))) 2) (cbrt.f64 (/.f64 (-.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 c a))) b_2) (cbrt.f64 a))))
(*.f64 (cbrt.f64 (cbrt.f64 (pow.f64 a -2))) (/.f64 (-.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 c a))) b_2) (cbrt.f64 (cbrt.f64 a))))
(*.f64 (sqrt.f64 (/.f64 (-.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 c a))) b_2) (cbrt.f64 a))) (sqrt.f64 (/.f64 (-.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 c a))) b_2) (cbrt.f64 a))))
(*.f64 (/.f64 1 (pow.f64 a 1/6)) (/.f64 (-.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 c a))) b_2) (pow.f64 a 1/6)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 c a))) b_2)) 2) 1) (cbrt.f64 (/.f64 (-.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 c a))) b_2) a)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 c a))) b_2)) 2) (pow.f64 (cbrt.f64 (cbrt.f64 a)) 2)) (cbrt.f64 (/.f64 (-.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 c a))) b_2) (cbrt.f64 a))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 c a))) b_2)) 2) (pow.f64 a 1/6)) (/.f64 (cbrt.f64 (-.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 c a))) b_2)) (pow.f64 a 1/6)))
(*.f64 (/.f64 (sqrt.f64 (-.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 c a))) b_2)) 1) (/.f64 (sqrt.f64 (-.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 c a))) b_2)) (cbrt.f64 a)))
(*.f64 (/.f64 (sqrt.f64 (-.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 c a))) b_2)) (pow.f64 (cbrt.f64 (cbrt.f64 a)) 2)) (/.f64 (sqrt.f64 (-.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 c a))) b_2)) (cbrt.f64 (cbrt.f64 a))))
(pow.f64 (/.f64 (-.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 c a))) b_2) (cbrt.f64 a)) 1)
(pow.f64 (cbrt.f64 (/.f64 (-.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 c a))) b_2) (cbrt.f64 a))) 3)
(pow.f64 (pow.f64 (/.f64 (-.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 c a))) b_2) (cbrt.f64 a)) 3) 1/3)
(pow.f64 (sqrt.f64 (/.f64 (-.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 c a))) b_2) (cbrt.f64 a))) 2)
(pow.f64 (/.f64 (cbrt.f64 a) (-.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 c a))) b_2)) -1)
(sqrt.f64 (pow.f64 (/.f64 (-.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 c a))) b_2) (cbrt.f64 a)) 2))
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(cbrt.f64 (pow.f64 (*.f64 a (-.f64 (/.f64 (pow.f64 b_2 2) a) c)) 3))
(cbrt.f64 (*.f64 (pow.f64 a 3) (pow.f64 (-.f64 (/.f64 (pow.f64 b_2 2) a) c) 3)))
(cbrt.f64 (*.f64 (pow.f64 (-.f64 (/.f64 (pow.f64 b_2 2) a) c) 3) (pow.f64 a 3)))
(cbrt.f64 (*.f64 (pow.f64 (*.f64 a (-.f64 (/.f64 (pow.f64 b_2 2) a) c)) 3/2) (pow.f64 (*.f64 a (-.f64 (/.f64 (pow.f64 b_2 2) a) c)) 3/2)))
(expm1.f64 (log1p.f64 (*.f64 a (-.f64 (/.f64 (pow.f64 b_2 2) a) c))))
(log1p.f64 (expm1.f64 (*.f64 a (-.f64 (/.f64 (pow.f64 b_2 2) a) c))))
(exp.f64 (log.f64 (*.f64 a (-.f64 (/.f64 (pow.f64 b_2 2) a) c))))
(exp.f64 (*.f64 (log.f64 (*.f64 a (-.f64 (/.f64 (pow.f64 b_2 2) a) c))) 1))
(-.f64 (exp.f64 (log1p.f64 (cbrt.f64 (*.f64 (pow.f64 b_2 2) 4)))) 1)
(*.f64 1 (cbrt.f64 (*.f64 (pow.f64 b_2 2) 4)))
(*.f64 (cbrt.f64 (*.f64 (pow.f64 b_2 2) 4)) 1)
(*.f64 (pow.f64 (cbrt.f64 b_2) 2) (cbrt.f64 4))
(*.f64 (cbrt.f64 4) (pow.f64 (cbrt.f64 b_2) 2))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 (pow.f64 b_2 2) 4))) 2) (cbrt.f64 (cbrt.f64 (*.f64 (pow.f64 b_2 2) 4))))
(*.f64 (cbrt.f64 (*.f64 b_2 2)) (cbrt.f64 (*.f64 b_2 2)))
(*.f64 (pow.f64 1 1/3) (cbrt.f64 (*.f64 (pow.f64 b_2 2) 4)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (*.f64 (pow.f64 b_2 2) 4)) 2) 1/3) (cbrt.f64 (cbrt.f64 (*.f64 (pow.f64 b_2 2) 4))))
(*.f64 (pow.f64 (*.f64 b_2 2) 1/3) (pow.f64 (*.f64 b_2 2) 1/3))
(/.f64 1 (/.f64 1 (cbrt.f64 (*.f64 (pow.f64 b_2 2) 4))))
(/.f64 (cbrt.f64 (*.f64 (pow.f64 b_2 2) 4)) 1)
(/.f64 -1 (neg.f64 (/.f64 1 (cbrt.f64 (*.f64 (pow.f64 b_2 2) 4)))))
(/.f64 (neg.f64 (cbrt.f64 (*.f64 (pow.f64 b_2 2) 4))) -1)
(/.f64 (neg.f64 (neg.f64 (cbrt.f64 (*.f64 (pow.f64 b_2 2) 4)))) 1)
(pow.f64 (*.f64 (pow.f64 b_2 2) 4) 1/3)
(pow.f64 (cbrt.f64 (*.f64 (pow.f64 b_2 2) 4)) 1)
(pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 (pow.f64 b_2 2) 4))) 3)
(pow.f64 (cbrt.f64 (*.f64 b_2 2)) 2)
(pow.f64 (/.f64 1 (cbrt.f64 (*.f64 (pow.f64 b_2 2) 4))) -1)
(sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 (pow.f64 b_2 2) 4)) 2))
(log.f64 (exp.f64 (cbrt.f64 (*.f64 (pow.f64 b_2 2) 4))))
(log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 (*.f64 (pow.f64 b_2 2) 4)))))
(expm1.f64 (log1p.f64 (cbrt.f64 (*.f64 (pow.f64 b_2 2) 4))))
(log1p.f64 (expm1.f64 (cbrt.f64 (*.f64 (pow.f64 b_2 2) 4))))
(exp.f64 (log.f64 (cbrt.f64 (*.f64 (pow.f64 b_2 2) 4))))
(exp.f64 (*.f64 (log.f64 (*.f64 (pow.f64 b_2 2) 4)) 1/3))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 (pow.f64 b_2 2) 4))) 1))
(-.f64 (exp.f64 (log1p.f64 (cbrt.f64 (*.f64 b_2 -2)))) 1)
(*.f64 1 (cbrt.f64 (*.f64 b_2 -2)))
(*.f64 (cbrt.f64 b_2) (cbrt.f64 -2))
(*.f64 (cbrt.f64 -2) (cbrt.f64 b_2))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 b_2 -2))) 2) (cbrt.f64 (cbrt.f64 (*.f64 b_2 -2))))
(*.f64 (pow.f64 (*.f64 b_2 -2) 1/6) (pow.f64 (*.f64 b_2 -2) 1/6))
(*.f64 (pow.f64 1 1/3) (cbrt.f64 (*.f64 b_2 -2)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (*.f64 b_2 -2)) 2) 1/3) (cbrt.f64 (cbrt.f64 (*.f64 b_2 -2))))
(*.f64 (pow.f64 (sqrt.f64 (*.f64 b_2 -2)) 1/3) (pow.f64 (sqrt.f64 (*.f64 b_2 -2)) 1/3))
(pow.f64 (*.f64 b_2 -2) 1/3)
(pow.f64 (cbrt.f64 (*.f64 b_2 -2)) 1)
(pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 b_2 -2))) 3)
(pow.f64 (pow.f64 (*.f64 b_2 -2) 1/6) 2)
(sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 b_2 -2)) 2))
(log.f64 (exp.f64 (cbrt.f64 (*.f64 b_2 -2))))
(log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 (*.f64 b_2 -2)))))
(expm1.f64 (log1p.f64 (cbrt.f64 (*.f64 b_2 -2))))
(log1p.f64 (expm1.f64 (cbrt.f64 (*.f64 b_2 -2))))
(exp.f64 (log.f64 (cbrt.f64 (*.f64 b_2 -2))))
(exp.f64 (*.f64 (log.f64 (*.f64 b_2 -2)) 1/3))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 b_2 -2))) 1))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (cbrt.f64 (*.f64 (*.f64 (pow.f64 b_2 2) 4) (*.f64 b_2 -2))) a))) 1)
(/.f64 1 (*.f64 (/.f64 1 (cbrt.f64 (*.f64 (pow.f64 b_2 2) 4))) (/.f64 a (cbrt.f64 (*.f64 b_2 -2)))))
(/.f64 1 (*.f64 (/.f64 a (cbrt.f64 (*.f64 b_2 -2))) (/.f64 1 (cbrt.f64 (*.f64 (pow.f64 b_2 2) 4)))))
(/.f64 (cbrt.f64 (*.f64 (pow.f64 b_2 2) 4)) (/.f64 a (cbrt.f64 (*.f64 b_2 -2))))
(/.f64 (cbrt.f64 (*.f64 (pow.f64 b_2 2) 4)) (*.f64 (/.f64 a (cbrt.f64 (*.f64 b_2 -2))) 1))
(/.f64 (cbrt.f64 (*.f64 b_2 -2)) (*.f64 (/.f64 1 (cbrt.f64 (*.f64 (pow.f64 b_2 2) 4))) a))
(/.f64 (/.f64 (cbrt.f64 (*.f64 (*.f64 (pow.f64 b_2 2) 4) (*.f64 b_2 -2))) a) 1)
(/.f64 (cbrt.f64 (*.f64 (*.f64 (pow.f64 b_2 2) 4) (*.f64 b_2 -2))) a)
(/.f64 (*.f64 1 (neg.f64 (cbrt.f64 (*.f64 (pow.f64 b_2 2) 4)))) (*.f64 (/.f64 a (cbrt.f64 (*.f64 b_2 -2))) -1))
(/.f64 (*.f64 (neg.f64 (cbrt.f64 (*.f64 (pow.f64 b_2 2) 4))) 1) (*.f64 -1 (/.f64 a (cbrt.f64 (*.f64 b_2 -2)))))
(/.f64 (*.f64 1 (neg.f64 (cbrt.f64 (*.f64 b_2 -2)))) (*.f64 (/.f64 1 (cbrt.f64 (*.f64 (pow.f64 b_2 2) 4))) a))
(/.f64 (*.f64 (cbrt.f64 (*.f64 b_2 -2)) 1) (*.f64 a (/.f64 1 (cbrt.f64 (*.f64 (pow.f64 b_2 2) 4)))))
(/.f64 (*.f64 (neg.f64 (cbrt.f64 (*.f64 b_2 -2))) 1) (*.f64 a (/.f64 1 (cbrt.f64 (*.f64 (pow.f64 b_2 2) 4)))))
(/.f64 (*.f64 (cbrt.f64 (*.f64 (pow.f64 b_2 2) 4)) (neg.f64 (cbrt.f64 (*.f64 b_2 -2)))) a)
(/.f64 (*.f64 (neg.f64 (cbrt.f64 (*.f64 (pow.f64 b_2 2) 4))) (cbrt.f64 (*.f64 b_2 -2))) a)
(/.f64 (*.f64 (neg.f64 (cbrt.f64 (*.f64 (pow.f64 b_2 2) 4))) (neg.f64 (cbrt.f64 (*.f64 b_2 -2)))) a)
(/.f64 (*.f64 (cbrt.f64 (*.f64 b_2 -2)) (cbrt.f64 (*.f64 (pow.f64 b_2 2) 4))) (*.f64 a 1))
(/.f64 (*.f64 (cbrt.f64 (*.f64 b_2 -2)) (neg.f64 (cbrt.f64 (*.f64 (pow.f64 b_2 2) 4)))) (*.f64 a -1))
(/.f64 (*.f64 (neg.f64 (cbrt.f64 (*.f64 b_2 -2))) (cbrt.f64 (*.f64 (pow.f64 b_2 2) 4))) (*.f64 a 1))
(/.f64 (*.f64 (neg.f64 (cbrt.f64 (*.f64 b_2 -2))) (neg.f64 (cbrt.f64 (*.f64 (pow.f64 b_2 2) 4)))) (*.f64 a -1))
(/.f64 (neg.f64 (/.f64 (cbrt.f64 (*.f64 (*.f64 (pow.f64 b_2 2) 4) (*.f64 b_2 -2))) a)) -1)
(/.f64 (neg.f64 (cbrt.f64 (*.f64 (*.f64 (pow.f64 b_2 2) 4) (*.f64 b_2 -2)))) a)
(pow.f64 (/.f64 (cbrt.f64 (*.f64 (*.f64 (pow.f64 b_2 2) 4) (*.f64 b_2 -2))) a) 1)
(pow.f64 (cbrt.f64 (/.f64 (cbrt.f64 (*.f64 (*.f64 (pow.f64 b_2 2) 4) (*.f64 b_2 -2))) a)) 3)
(pow.f64 (pow.f64 (/.f64 (cbrt.f64 (*.f64 (*.f64 (pow.f64 b_2 2) 4) (*.f64 b_2 -2))) a) 3) 1/3)
(pow.f64 (*.f64 (cbrt.f64 (*.f64 b_2 2)) (sqrt.f64 (/.f64 (cbrt.f64 (*.f64 b_2 -2)) a))) 2)
(sqrt.f64 (pow.f64 (/.f64 (cbrt.f64 (*.f64 (*.f64 (pow.f64 b_2 2) 4) (*.f64 b_2 -2))) a) 2))
(log.f64 (exp.f64 (/.f64 (cbrt.f64 (*.f64 (*.f64 (pow.f64 b_2 2) 4) (*.f64 b_2 -2))) a)))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (cbrt.f64 (*.f64 (*.f64 (pow.f64 b_2 2) 4) (*.f64 b_2 -2))) a))))
(cbrt.f64 (pow.f64 (/.f64 (cbrt.f64 (*.f64 (*.f64 (pow.f64 b_2 2) 4) (*.f64 b_2 -2))) a) 3))
(cbrt.f64 (*.f64 (*.f64 (pow.f64 b_2 2) 4) (pow.f64 (/.f64 (cbrt.f64 (*.f64 b_2 -2)) a) 3)))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 (cbrt.f64 (*.f64 b_2 -2)) a) 3) (*.f64 (pow.f64 b_2 2) 4)))
(expm1.f64 (log1p.f64 (/.f64 (cbrt.f64 (*.f64 (*.f64 (pow.f64 b_2 2) 4) (*.f64 b_2 -2))) a)))
(log1p.f64 (expm1.f64 (/.f64 (cbrt.f64 (*.f64 (*.f64 (pow.f64 b_2 2) 4) (*.f64 b_2 -2))) a)))
(exp.f64 (log.f64 (/.f64 (cbrt.f64 (*.f64 (*.f64 (pow.f64 b_2 2) 4) (*.f64 b_2 -2))) a)))
(exp.f64 (*.f64 (log.f64 (/.f64 (cbrt.f64 (*.f64 (*.f64 (pow.f64 b_2 2) 4) (*.f64 b_2 -2))) a)) 1))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (cbrt.f64 (*.f64 b_2 -2)) a))) 1)
(*.f64 1 (/.f64 (cbrt.f64 (*.f64 b_2 -2)) a))
(*.f64 (cbrt.f64 (pow.f64 a -2)) (/.f64 (cbrt.f64 (*.f64 b_2 -2)) (cbrt.f64 a)))
(*.f64 (cbrt.f64 (*.f64 b_2 -2)) (/.f64 1 a))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (cbrt.f64 (*.f64 b_2 -2)) a)) 2) (cbrt.f64 (/.f64 (cbrt.f64 (*.f64 b_2 -2)) a)))
(*.f64 (pow.f64 a -1/2) (/.f64 (cbrt.f64 (*.f64 b_2 -2)) (sqrt.f64 a)))
(*.f64 (sqrt.f64 (/.f64 (cbrt.f64 (*.f64 b_2 -2)) a)) (sqrt.f64 (/.f64 (cbrt.f64 (*.f64 b_2 -2)) a)))
(*.f64 (/.f64 (cbrt.f64 b_2) 1) (/.f64 (cbrt.f64 -2) a))
(*.f64 (/.f64 (cbrt.f64 b_2) (cbrt.f64 (pow.f64 a 2))) (/.f64 (cbrt.f64 -2) (cbrt.f64 a)))
(*.f64 (/.f64 (cbrt.f64 b_2) (sqrt.f64 a)) (/.f64 (cbrt.f64 -2) (sqrt.f64 a)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 b_2 -2))) 2) 1) (/.f64 (cbrt.f64 (cbrt.f64 (*.f64 b_2 -2))) a))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 b_2 -2))) 2) (cbrt.f64 (pow.f64 a 2))) (cbrt.f64 (/.f64 (cbrt.f64 (*.f64 b_2 -2)) a)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 b_2 -2))) 2) (sqrt.f64 a)) (/.f64 (cbrt.f64 (cbrt.f64 (*.f64 b_2 -2))) (sqrt.f64 a)))
(*.f64 (/.f64 (pow.f64 (*.f64 b_2 -2) 1/6) 1) (/.f64 (pow.f64 (*.f64 b_2 -2) 1/6) a))
(*.f64 (/.f64 (pow.f64 (*.f64 b_2 -2) 1/6) (cbrt.f64 (pow.f64 a 2))) (/.f64 (pow.f64 (*.f64 b_2 -2) 1/6) (cbrt.f64 a)))
(pow.f64 (/.f64 (cbrt.f64 (*.f64 b_2 -2)) a) 1)
(pow.f64 (cbrt.f64 (/.f64 (cbrt.f64 (*.f64 b_2 -2)) a)) 3)
(pow.f64 (pow.f64 (/.f64 (cbrt.f64 (*.f64 b_2 -2)) a) 3) 1/3)
(pow.f64 (sqrt.f64 (/.f64 (cbrt.f64 (*.f64 b_2 -2)) a)) 2)
(pow.f64 (/.f64 a (cbrt.f64 (*.f64 b_2 -2))) -1)
(sqrt.f64 (pow.f64 (/.f64 (cbrt.f64 (*.f64 b_2 -2)) a) 2))
(log.f64 (exp.f64 (/.f64 (cbrt.f64 (*.f64 b_2 -2)) a)))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (cbrt.f64 (*.f64 b_2 -2)) a))))
(cbrt.f64 (pow.f64 (/.f64 (cbrt.f64 (*.f64 b_2 -2)) a) 3))
(cbrt.f64 (*.f64 (*.f64 b_2 -2) (pow.f64 (/.f64 1 a) 3)))
(cbrt.f64 (/.f64 (*.f64 b_2 -2) (pow.f64 a 3)))
(expm1.f64 (log1p.f64 (/.f64 (cbrt.f64 (*.f64 b_2 -2)) a)))
(log1p.f64 (expm1.f64 (/.f64 (cbrt.f64 (*.f64 b_2 -2)) a)))
(exp.f64 (log.f64 (/.f64 (cbrt.f64 (*.f64 b_2 -2)) a)))
(exp.f64 (*.f64 (log.f64 (/.f64 (cbrt.f64 (*.f64 b_2 -2)) a)) 1))

eval327.0ms (3.6%)

Compiler

Compiled 16863 to 11312 computations (32.9% saved)

prune151.0ms (1.7%)

Pruning

40 alts after pruning (30 fresh and 10 done)

PrunedKeptTotal
New73313746
Fresh41721
Picked235
Done178
Total74040780
Accuracy
96.1%
Counts
780 → 40
Alt Table
Click to see full alt table
StatusAccuracyProgram
22.8%
(pow.f64 (pow.f64 (/.f64 -1/2 (/.f64 b_2 c)) 1/3) 3)
28.9%
(pow.f64 (/.f64 (/.f64 -1/2 b_2) (/.f64 1 a)) -1)
50.5%
(pow.f64 (/.f64 a (-.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 c (neg.f64 a)))) b_2)) -1)
28.9%
(pow.f64 (/.f64 a (*.f64 -2 b_2)) -1)
36.0%
(pow.f64 (*.f64 (pow.f64 (pow.f64 (cbrt.f64 (/.f64 -1/2 (/.f64 b_2 c))) 2) 1/3) (cbrt.f64 (cbrt.f64 (/.f64 -1/2 (/.f64 b_2 c))))) 3)
22.8%
(pow.f64 (exp.f64 (*.f64 (log.f64 (/.f64 -1/2 (/.f64 b_2 c))) 1/3)) 3)
28.6%
(pow.f64 (cbrt.f64 (/.f64 (/.f64 1 a) (/.f64 -1/2 b_2))) 3)
38.2%
(pow.f64 (cbrt.f64 (*.f64 -1/2 (/.f64 c b_2))) 3)
45.1%
(/.f64 (/.f64 (*.f64 -1 (*.f64 a c)) (-.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 c (neg.f64 a)))) (neg.f64 b_2))) a)
28.6%
(/.f64 (/.f64 1 (pow.f64 (cbrt.f64 (*.f64 a (/.f64 -1/2 b_2))) 2)) (cbrt.f64 (*.f64 a (/.f64 -1/2 b_2))))
28.9%
(/.f64 (/.f64 1 a) (/.f64 -1/2 b_2))
27.3%
(/.f64 (-.f64 (*.f64 (pow.f64 (pow.f64 (-.f64 (/.f64 (pow.f64 b_2 2) a) c) 1/4) 2) (sqrt.f64 a)) b_2) a)
27.4%
(/.f64 (-.f64 (*.f64 (sqrt.f64 (-.f64 (/.f64 (pow.f64 b_2 2) a) c)) (sqrt.f64 a)) b_2) a)
49.3%
(/.f64 (-.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) b_2) a)
46.4%
(/.f64 (-.f64 (sqrt.f64 (*.f64 a (-.f64 (*.f64 (/.f64 b_2 1) (/.f64 b_2 a)) c))) b_2) a)
34.9%
(/.f64 (-.f64 (sqrt.f64 (*.f64 -1 (*.f64 a c))) b_2) a)
36.5%
(/.f64 (-.f64 (cbrt.f64 (pow.f64 (-.f64 (pow.f64 b_2 2) (*.f64 a c)) 3/2)) b_2) a)
38.9%
(/.f64 (*.f64 c -1/2) b_2)
28.6%
(/.f64 (*.f64 b_2 (*.f64 (cbrt.f64 -2) (cbrt.f64 4))) a)
2.6%
(/.f64 (*.f64 b_2 2) a)
27.2%
(/.f64 (*.f64 a (+.f64 (*.f64 -1/2 (/.f64 c b_2)) (*.f64 -1/8 (/.f64 (*.f64 a (pow.f64 c 2)) (pow.f64 b_2 3))))) a)
29.0%
(/.f64 (*.f64 -2 b_2) a)
10.9%
(/.f64 (neg.f64 (*.f64 -1/2 c)) b_2)
47.8%
(/.f64 (exp.f64 (log.f64 (-.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 c (neg.f64 a)))) b_2))) a)
28.9%
(/.f64 1 (*.f64 a (/.f64 -1/2 b_2)))
38.5%
(/.f64 -1/2 (/.f64 b_2 c))
2.6%
(/.f64 -1 (*.f64 a (/.f64 -1/2 b_2)))
19.2%
(*.f64 (/.f64 (pow.f64 (*.f64 (pow.f64 b_2 2) 4) 1/3) 1) (/.f64 (cbrt.f64 (*.f64 b_2 -2)) a))
19.2%
(*.f64 (/.f64 (exp.f64 (*.f64 (log.f64 (*.f64 (pow.f64 b_2 2) 4)) 1/3)) 1) (/.f64 (cbrt.f64 (*.f64 b_2 -2)) a))
18.8%
(*.f64 (/.f64 (cbrt.f64 (*.f64 (pow.f64 b_2 2) 4)) 1) (/.f64 (expm1.f64 (log1p.f64 (cbrt.f64 (*.f64 b_2 -2)))) a))
28.6%
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (/.f64 -1/2 b_2)) 2)) (/.f64 (/.f64 1 a) (cbrt.f64 (/.f64 -1/2 b_2))))
49.8%
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 a) 2)) (/.f64 (-.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 c (neg.f64 a)))) b_2) (cbrt.f64 a)))
28.9%
(*.f64 (/.f64 1 a) (/.f64 1 (/.f64 -1/2 b_2)))
45.8%
(*.f64 (-.f64 (pow.f64 (pow.f64 (*.f64 a (-.f64 (/.f64 (pow.f64 b_2 2) a) c)) 1/4) 2) b_2) (/.f64 1 a))
46.4%
(*.f64 (-.f64 (sqrt.f64 (*.f64 a (-.f64 (*.f64 (/.f64 b_2 1) (/.f64 b_2 a)) c))) b_2) (/.f64 1 a))
34.9%
(*.f64 (-.f64 (sqrt.f64 (*.f64 -1 (*.f64 a c))) b_2) (/.f64 1 a))
31.4%
(*.f64 (*.f64 -1/2 (/.f64 (*.f64 a c) b_2)) (/.f64 1 a))
36.8%
(*.f64 c (-.f64 (*.f64 -1/8 (/.f64 (*.f64 a c) (pow.f64 b_2 3))) (*.f64 1/2 (/.f64 1 b_2))))
9.4%
(sqrt.f64 (/.f64 (pow.f64 a -2) (/.f64 1/4 (pow.f64 b_2 2))))
18.2%
(expm1.f64 (log1p.f64 (*.f64 -2 (/.f64 b_2 a))))
Compiler

Compiled 1403 to 915 computations (34.8% saved)

regimes555.0ms (6.1%)

Counts
62 → 3
Calls
Call 1
Inputs
(*.f64 -1/2 (/.f64 c b_2))
(/.f64 -1/2 (/.f64 b_2 c))
(/.f64 (*.f64 -2 b_2) a)
(/.f64 (*.f64 -1/2 c) b_2)
(/.f64 (*.f64 b_2 2) a)
(/.f64 (*.f64 c -1/2) b_2)
(/.f64 (-.f64 b_2 b_2) a)
(/.f64 (neg.f64 (*.f64 -1/2 c)) b_2)
(/.f64 -1 (*.f64 a (/.f64 -1/2 b_2)))
(/.f64 1 (*.f64 a (/.f64 -1/2 b_2)))
(/.f64 (/.f64 1 a) (/.f64 -1/2 b_2))
(*.f64 (/.f64 1 a) (/.f64 1 (/.f64 -1/2 b_2)))
(/.f64 (*.f64 -1/2 (/.f64 (*.f64 a c) b_2)) a)
(*.f64 (*.f64 -1/2 (/.f64 (*.f64 a c) b_2)) (/.f64 1 a))
(pow.f64 (/.f64 a (*.f64 -2 b_2)) -1)
(*.f64 (/.f64 1 a) (pow.f64 (/.f64 -1/2 b_2) -1))
(pow.f64 (/.f64 (/.f64 -1/2 b_2) (/.f64 1 a)) -1)
(/.f64 (-.f64 (sqrt.f64 (*.f64 -1 (*.f64 a c))) b_2) a)
(*.f64 (-.f64 (sqrt.f64 (*.f64 -1 (*.f64 a c))) b_2) (/.f64 1 a))
(/.f64 (-.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) b_2) a)
(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) a)
(/.f64 (-.f64 (sqrt.f64 (*.f64 a (-.f64 (*.f64 (/.f64 b_2 1) (/.f64 b_2 a)) c))) b_2) a)
(*.f64 -1 (*.f64 b_2 (+.f64 (*.f64 -1/2 (/.f64 c (pow.f64 b_2 2))) (*.f64 2 (/.f64 1 a)))))
(*.f64 c (-.f64 (*.f64 -1/8 (/.f64 (*.f64 a c) (pow.f64 b_2 3))) (*.f64 1/2 (/.f64 1 b_2))))
(*.f64 (-.f64 (sqrt.f64 (*.f64 a (-.f64 (*.f64 (/.f64 b_2 1) (/.f64 b_2 a)) c))) b_2) (/.f64 1 a))
(exp.f64 (log.f64 (*.f64 -1/2 (/.f64 c b_2))))
(expm1.f64 (log1p.f64 (*.f64 -2 (/.f64 b_2 a))))
(pow.f64 (cbrt.f64 (*.f64 -1/2 (/.f64 c b_2))) 3)
(/.f64 (*.f64 b_2 (*.f64 (cbrt.f64 -2) (cbrt.f64 4))) a)
(pow.f64 (pow.f64 (/.f64 -1/2 (/.f64 b_2 c)) 1/3) 3)
(/.f64 (+.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 c a))) b_2) a)
(pow.f64 (cbrt.f64 (/.f64 (/.f64 1 a) (/.f64 -1/2 b_2))) 3)
(*.f64 (/.f64 1 a) (-.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 c (neg.f64 a)))) b_2))
(/.f64 (-.f64 (sqrt.f64 (*.f64 a (-.f64 (/.f64 (pow.f64 b_2 2) a) c))) b_2) a)
(*.f64 (-.f64 (sqrt.f64 (*.f64 a (-.f64 (/.f64 (pow.f64 b_2 2) a) c))) b_2) (/.f64 1 a))
(/.f64 (/.f64 (*.f64 -1 (*.f64 a c)) (-.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 c (neg.f64 a)))) (neg.f64 b_2))) a)
(/.f64 (*.f64 a (+.f64 (*.f64 -1/2 (/.f64 c b_2)) (*.f64 -1/8 (/.f64 (*.f64 a (pow.f64 c 2)) (pow.f64 b_2 3))))) a)
(sqrt.f64 (/.f64 (pow.f64 a -2) (/.f64 1/4 (pow.f64 b_2 2))))
(/.f64 (/.f64 (*.f64 b_2 -2) (cbrt.f64 (pow.f64 a 2))) (cbrt.f64 a))
(pow.f64 (exp.f64 (*.f64 (log.f64 (/.f64 -1/2 (/.f64 b_2 c))) 1/3)) 3)
(pow.f64 (/.f64 a (-.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 c (neg.f64 a)))) b_2)) -1)
(/.f64 (-.f64 (cbrt.f64 (pow.f64 (-.f64 (pow.f64 b_2 2) (*.f64 a c)) 3/2)) b_2) a)
(*.f64 (/.f64 (cbrt.f64 (*.f64 (pow.f64 b_2 2) 4)) 1) (/.f64 (cbrt.f64 (*.f64 b_2 -2)) a))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 -2 (/.f64 b_2 a))) 2) (cbrt.f64 (*.f64 -2 (/.f64 b_2 a))))
(/.f64 (-.f64 (*.f64 (sqrt.f64 (-.f64 (/.f64 (pow.f64 b_2 2) a) c)) (sqrt.f64 a)) b_2) a)
(/.f64 (-.f64 (pow.f64 (pow.f64 (-.f64 (pow.f64 b_2 2) (*.f64 a c)) 1/4) 2) b_2) a)
(*.f64 (/.f64 (pow.f64 (*.f64 (pow.f64 b_2 2) 4) 1/3) 1) (/.f64 (cbrt.f64 (*.f64 b_2 -2)) a))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (/.f64 -1/2 b_2)) 2)) (/.f64 (/.f64 1 a) (cbrt.f64 (/.f64 -1/2 b_2))))
(/.f64 (/.f64 1 (pow.f64 (cbrt.f64 (*.f64 a (/.f64 -1/2 b_2))) 2)) (cbrt.f64 (*.f64 a (/.f64 -1/2 b_2))))
(*.f64 (-.f64 (pow.f64 (pow.f64 (*.f64 a (-.f64 (/.f64 (pow.f64 b_2 2) a) c)) 1/4) 2) b_2) (/.f64 1 a))
(/.f64 (/.f64 (-.f64 (-.f64 (pow.f64 b_2 2) (*.f64 a c)) (*.f64 (neg.f64 b_2) (neg.f64 b_2))) (-.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 c (neg.f64 a)))) (neg.f64 b_2))) a)
(/.f64 (exp.f64 (log.f64 (-.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 c (neg.f64 a)))) b_2))) a)
(cbrt.f64 (pow.f64 (/.f64 (-.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 c (neg.f64 a)))) b_2) a) 3))
(pow.f64 (cbrt.f64 (/.f64 (-.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 c (neg.f64 a)))) b_2) a)) 3)
(/.f64 (-.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (*.f64 a (-.f64 (/.f64 (pow.f64 b_2 2) a) c)))) 3) b_2) a)
(*.f64 (/.f64 (exp.f64 (*.f64 (log.f64 (*.f64 (pow.f64 b_2 2) 4)) 1/3)) 1) (/.f64 (cbrt.f64 (*.f64 b_2 -2)) a))
(/.f64 (-.f64 (*.f64 (pow.f64 (pow.f64 (-.f64 (/.f64 (pow.f64 b_2 2) a) c) 1/4) 2) (sqrt.f64 a)) b_2) a)
(*.f64 (/.f64 (cbrt.f64 (*.f64 (pow.f64 b_2 2) 4)) 1) (/.f64 (expm1.f64 (log1p.f64 (cbrt.f64 (*.f64 b_2 -2)))) a))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 a) 2)) (/.f64 (-.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 c (neg.f64 a)))) b_2) (cbrt.f64 a)))
(pow.f64 (*.f64 (pow.f64 (pow.f64 (cbrt.f64 (/.f64 -1/2 (/.f64 b_2 c))) 2) 1/3) (cbrt.f64 (cbrt.f64 (/.f64 -1/2 (/.f64 b_2 c))))) 3)
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 c (neg.f64 a)))) b_2) a)) 2) (cbrt.f64 (/.f64 (-.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 c (neg.f64 a)))) b_2) a)))
(fma.f64 (/.f64 (pow.f64 (-.f64 (pow.f64 b_2 2) (*.f64 a c)) 1/4) (sqrt.f64 a)) (/.f64 (pow.f64 (-.f64 (pow.f64 b_2 2) (*.f64 a c)) 1/4) (sqrt.f64 a)) (neg.f64 (/.f64 b_2 a)))
Outputs
(/.f64 (*.f64 -2 b_2) a)
(/.f64 (-.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) b_2) a)
(/.f64 (*.f64 -1/2 c) b_2)
Calls

4 calls:

186.0ms
a
171.0ms
c
102.0ms
b_2
92.0ms
(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) a)
Results
AccuracySegmentsBranch
63.2%8a
87.8%3b_2
61.8%7c
79.9%5(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) a)
Compiler

Compiled 28 to 19 computations (32.1% saved)

regimes37.0ms (0.4%)

Counts
19 → 3
Calls
Call 1
Inputs
(*.f64 -1/2 (/.f64 c b_2))
(/.f64 -1/2 (/.f64 b_2 c))
(/.f64 (*.f64 -2 b_2) a)
(/.f64 (*.f64 -1/2 c) b_2)
(/.f64 (*.f64 b_2 2) a)
(/.f64 (*.f64 c -1/2) b_2)
(/.f64 (-.f64 b_2 b_2) a)
(/.f64 (neg.f64 (*.f64 -1/2 c)) b_2)
(/.f64 -1 (*.f64 a (/.f64 -1/2 b_2)))
(/.f64 1 (*.f64 a (/.f64 -1/2 b_2)))
(/.f64 (/.f64 1 a) (/.f64 -1/2 b_2))
(*.f64 (/.f64 1 a) (/.f64 1 (/.f64 -1/2 b_2)))
(/.f64 (*.f64 -1/2 (/.f64 (*.f64 a c) b_2)) a)
(*.f64 (*.f64 -1/2 (/.f64 (*.f64 a c) b_2)) (/.f64 1 a))
(pow.f64 (/.f64 a (*.f64 -2 b_2)) -1)
(*.f64 (/.f64 1 a) (pow.f64 (/.f64 -1/2 b_2) -1))
(pow.f64 (/.f64 (/.f64 -1/2 b_2) (/.f64 1 a)) -1)
(/.f64 (-.f64 (sqrt.f64 (*.f64 -1 (*.f64 a c))) b_2) a)
(*.f64 (-.f64 (sqrt.f64 (*.f64 -1 (*.f64 a c))) b_2) (/.f64 1 a))
Outputs
(/.f64 (*.f64 -2 b_2) a)
(/.f64 (-.f64 (sqrt.f64 (*.f64 -1 (*.f64 a c))) b_2) a)
(/.f64 (*.f64 -1/2 c) b_2)
Calls

1 calls:

36.0ms
b_2
Results
AccuracySegmentsBranch
83.6%3b_2
Compiler

Compiled 4 to 3 computations (25% saved)

regimes18.0ms (0.2%)

Counts
17 → 2
Calls
Call 1
Inputs
(*.f64 -1/2 (/.f64 c b_2))
(/.f64 -1/2 (/.f64 b_2 c))
(/.f64 (*.f64 -2 b_2) a)
(/.f64 (*.f64 -1/2 c) b_2)
(/.f64 (*.f64 b_2 2) a)
(/.f64 (*.f64 c -1/2) b_2)
(/.f64 (-.f64 b_2 b_2) a)
(/.f64 (neg.f64 (*.f64 -1/2 c)) b_2)
(/.f64 -1 (*.f64 a (/.f64 -1/2 b_2)))
(/.f64 1 (*.f64 a (/.f64 -1/2 b_2)))
(/.f64 (/.f64 1 a) (/.f64 -1/2 b_2))
(*.f64 (/.f64 1 a) (/.f64 1 (/.f64 -1/2 b_2)))
(/.f64 (*.f64 -1/2 (/.f64 (*.f64 a c) b_2)) a)
(*.f64 (*.f64 -1/2 (/.f64 (*.f64 a c) b_2)) (/.f64 1 a))
(pow.f64 (/.f64 a (*.f64 -2 b_2)) -1)
(*.f64 (/.f64 1 a) (pow.f64 (/.f64 -1/2 b_2) -1))
(pow.f64 (/.f64 (/.f64 -1/2 b_2) (/.f64 1 a)) -1)
Outputs
(/.f64 (*.f64 -2 b_2) a)
(/.f64 (*.f64 -1/2 c) b_2)
Calls

1 calls:

17.0ms
b_2
Results
AccuracySegmentsBranch
65.2%2b_2
Compiler

Compiled 4 to 3 computations (25% saved)

regimes7.0ms (0.1%)

Counts
3 → 2
Calls
Call 1
Inputs
(*.f64 -1/2 (/.f64 c b_2))
(/.f64 -1/2 (/.f64 b_2 c))
(/.f64 (*.f64 -2 b_2) a)
Outputs
(/.f64 (*.f64 -2 b_2) a)
(*.f64 -1/2 (/.f64 c b_2))
Calls

1 calls:

6.0ms
b_2
Results
AccuracySegmentsBranch
65.2%2b_2
Compiler

Compiled 4 to 3 computations (25% saved)

regimes11.0ms (0.1%)

Accuracy

Total -0.3b remaining (-0.7%)

Threshold costs -0.3b (-0.7%)

Counts
2 → 1
Calls
Call 1
Inputs
(*.f64 -1/2 (/.f64 c b_2))
(/.f64 -1/2 (/.f64 b_2 c))
Outputs
(*.f64 -1/2 (/.f64 c b_2))
Calls

3 calls:

5.0ms
c
3.0ms
b_2
3.0ms
a
Results
AccuracySegmentsBranch
38.9%1a
38.9%1c
38.9%1b_2
Compiler

Compiled 12 to 9 computations (25% saved)

bsearch44.0ms (0.5%)

Algorithm
binary-search
Stop Event
narrow-enough
predicate-same
Steps
TimeLeftRight
41.0ms
2.2193503974856552e-85
6.88634966198646e-70
3.0ms
-8.30337880460998e+157
-1.6768482569255016e+145
Results
16.0ms120×256valid
6.0ms40×256invalid
6.0ms20×1024valid
6.0ms15×2048valid
3.0ms13×512valid
1.0ms256infinite
0.0ms512valid
Compiler

Compiled 297 to 202 computations (32% saved)

Precisions
Click to see histograms. Total time spent on operations: 17.0ms
Operation ival-sqrt, time spent: 4.0ms, 24.0% of total-time
Operation ival-mult, time spent: 4.0ms, 24.0% of total-time
Operation ival-div, time spent: 3.0ms, 18.0% of total-time
Operation ival-sub, time spent: 2.0ms, 12.0% of total-time
Operation ival-neg, time spent: 2.0ms, 12.0% of total-time
Operation ival-add, time spent: 2.0ms, 12.0% of total-time
Operation const, time spent: 0.0ms, 0.0% of total-time

bsearch95.0ms (1%)

Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
43.0ms
2.2193503974856552e-85
6.88634966198646e-70
52.0ms
-2.186502567097497e-6
-2.7036032961426773e-11
Results
63.0ms253×256valid
8.0ms75×256invalid
7.0ms23×1024valid
4.0ms17×512valid
4.0ms10×2048valid
0.0ms2048valid
Compiler

Compiled 459 to 338 computations (26.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 27.0ms
Operation ival-mult, time spent: 7.0ms, 26.0% of total-time
Operation ival-sqrt, time spent: 6.0ms, 22.0% of total-time
Operation ival-div, time spent: 4.0ms, 15.0% of total-time
Operation ival-sub, time spent: 4.0ms, 15.0% of total-time
Operation ival-add, time spent: 3.0ms, 11.0% of total-time
Operation ival-neg, time spent: 2.0ms, 7.0% of total-time
Operation const, time spent: 1.0ms, 4.0% of total-time

bsearch28.0ms (0.3%)

Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
28.0ms
7.184352074573761e-268
5.4339479976786054e-266
Results
15.0ms111×256valid
7.0ms69×256invalid
0.0ms256valid
Compiler

Compiled 148 to 113 computations (23.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 10.0ms
Operation ival-mult, time spent: 2.0ms, 21.0% of total-time
Operation ival-sqrt, time spent: 2.0ms, 21.0% of total-time
Operation ival-sub, time spent: 1.0ms, 10.0% of total-time
Operation ival-div, time spent: 1.0ms, 10.0% of total-time
Operation ival-add, time spent: 1.0ms, 10.0% of total-time
Operation ival-neg, time spent: 1.0ms, 10.0% of total-time
Operation const, time spent: 0.0ms, 0.0% of total-time

bsearch30.0ms (0.3%)

Algorithm
binary-search
Stop Event
fuel
narrow-enough
Steps
TimeLeftRight
27.0ms
7.184352074573761e-268
5.4339479976786054e-266
Results
18.0ms111×256valid
6.0ms57×256invalid
0.0ms256valid
Compiler

Compiled 254 to 185 computations (27.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 9.0ms
Operation ival-mult, time spent: 2.0ms, 22.0% of total-time
Operation ival-sqrt, time spent: 2.0ms, 22.0% of total-time
Operation ival-sub, time spent: 1.0ms, 11.0% of total-time
Operation ival-div, time spent: 1.0ms, 11.0% of total-time
Operation ival-add, time spent: 1.0ms, 11.0% of total-time
Operation ival-neg, time spent: 1.0ms, 11.0% of total-time
Operation const, time spent: 0.0ms, 0.0% of total-time

soundness420.0ms (4.6%)

Rules
2006×fma-neg
1016×div-sub
790×times-frac
528×fma-define
446×associate-/r*
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
055631
1136579
2281571
3777571
42087571
53954571
64998571
75251571
85344571
95376571
105392571
115392571
039560
1728516
Stop Event
node limit
saturated
Compiler

Compiled 54 to 23 computations (57.4% saved)

end0.0ms (0%)

preprocess91.0ms (1%)

Compiler

Compiled 404 to 188 computations (53.5% saved)

Profiling

Loading profile data...