quad2p (problem 3.2.1, positive)

Time bar (total: 8.9s)

analyze141.0ms (1.6%)

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: 67.0ms
Operation ival-mult, time spent: 20.0ms, 30.0% of total-time
Operation ival-sqrt, time spent: 13.0ms, 19.0% of total-time
Operation ival-div, time spent: 11.0ms, 16.0% of total-time
Operation ival-neg, time spent: 8.0ms, 12.0% of total-time
Operation ival-sub, time spent: 7.0ms, 10.0% of total-time
Operation ival-add, time spent: 7.0ms, 10.0% of total-time
Operation const, time spent: 1.0ms, 1.0% of total-time

sample2.6s (29.6%)

Results
838.0ms5113×256valid
114.0ms1050×256invalid
440.0ms1045×2048valid
217.0ms708×1024valid
95.0ms650×256infinite
184.0ms387×4096valid
153.0ms352×512valid
1.0ms2048valid
Precisions
Click to see histograms. Total time spent on operations: 971.0ms
Operation ival-mult, time spent: 382.0ms, 39.0% of total-time
Operation ival-div, time spent: 142.0ms, 15.0% of total-time
Operation ival-sqrt, time spent: 139.0ms, 14.0% of total-time
Operation ival-sub, time spent: 105.0ms, 11.0% of total-time
Operation ival-add, time spent: 100.0ms, 10.0% of total-time
Operation ival-neg, time spent: 87.0ms, 9.0% of total-time
Operation const, time spent: 17.0ms, 2.0% of total-time
Bogosity

preprocess634.0ms (7.1%)

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
1090-0-(sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))
551(-4.202629692924328e-254 1.1756333163533199e-215 1.3945569859289173e-285)0-(+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))))
210-4(-9.766393767677596e-107 1.4071346357753391e+60 4.0494417885743815e-151)(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) a)
40-0-(-.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: 105.0ms
Operation ival-sqrt, time spent: 47.0ms, 45.0% of total-time
Operation ival-mult, time spent: 33.0ms, 31.0% of total-time
Operation ival-div, time spent: 8.0ms, 8.0% of total-time
Operation ival-sub, time spent: 6.0ms, 6.0% of total-time
Operation ival-neg, time spent: 5.0ms, 5.0% of total-time
Operation ival-add, time spent: 5.0ms, 5.0% of total-time
Operation const, time spent: 1.0ms, 1.0% of total-time

eval0.0ms (0%)

Compiler

Compiled 15 to 9 computations (40% saved)

prune1.0ms (0%)

Alt Table
Click to see full alt table
StatusAccuracyProgram
49.8%
(/.f64 (-.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) b_2) a)
Compiler

Compiled 15 to 9 computations (40% saved)

localize205.0ms (2.3%)

Localize:

Found 4 expressions with local error:

NewAccuracyProgram
98.7%
(-.f64 (*.f64 b_2 b_2) (*.f64 a c))
92.6%
(/.f64 (-.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) b_2) a)
81.0%
(-.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) b_2)
60.1%
(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: 145.0ms
Operation ival-mult, time spent: 131.0ms, 90.0% of total-time
Operation ival-sub, time spent: 5.0ms, 3.0% of total-time
Operation ival-sqrt, time spent: 4.0ms, 3.0% of total-time
Operation ival-div, time spent: 4.0ms, 3.0% of total-time
Operation const, time spent: 1.0ms, 1.0% of total-time

series33.0ms (0.4%)

Counts
4 → 144
Calls
Call 1
Inputs
#<alt (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))>
#<alt (-.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) b_2)>
#<alt (/.f64 (-.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) b_2) a)>
#<alt (-.f64 (*.f64 b_2 b_2) (*.f64 a c))>
Outputs
#<alt (*.f64 (sqrt.f64 (*.f64 a c)) (sqrt.f64 #s(literal -1 binary64)))>
#<alt (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a c))) (/.f64 (pow.f64 b_2 #s(literal 2 binary64)) (sqrt.f64 #s(literal -1 binary64))))) (*.f64 (sqrt.f64 (*.f64 a c)) (sqrt.f64 #s(literal -1 binary64))))>
#<alt (+.f64 (*.f64 (sqrt.f64 (*.f64 a c)) (sqrt.f64 #s(literal -1 binary64))) (*.f64 (pow.f64 b_2 #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 c #s(literal 3 binary64))))) (/.f64 (pow.f64 b_2 #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64))))) (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a c))) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -1 binary64))))))))>
#<alt (+.f64 (*.f64 (sqrt.f64 (*.f64 a c)) (sqrt.f64 #s(literal -1 binary64))) (*.f64 (pow.f64 b_2 #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a c))) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -1 binary64))))) (*.f64 (pow.f64 b_2 #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 c #s(literal 3 binary64))))) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64))))) (*.f64 #s(literal 1/16 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 5 binary64)) (pow.f64 c #s(literal 5 binary64))))) (/.f64 (pow.f64 b_2 #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64))))))))))>
#<alt b_2>
#<alt (*.f64 b_2 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 a c) (pow.f64 b_2 #s(literal 2 binary64))))))>
#<alt (*.f64 b_2 (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 a c) (pow.f64 b_2 #s(literal 2 binary64)))) (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 c #s(literal 2 binary64))) (pow.f64 b_2 #s(literal 4 binary64)))))))>
#<alt (*.f64 b_2 (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 a c) (pow.f64 b_2 #s(literal 2 binary64)))) (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 c #s(literal 2 binary64))) (pow.f64 b_2 #s(literal 4 binary64)))) (*.f64 #s(literal -1/16 binary64) (/.f64 (*.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 c #s(literal 3 binary64))) (pow.f64 b_2 #s(literal 6 binary64))))))))>
#<alt (*.f64 #s(literal -1 binary64) b_2)>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 b_2 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 a c) (pow.f64 b_2 #s(literal 2 binary64)))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 b_2 (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 a c) (pow.f64 b_2 #s(literal 2 binary64)))) (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 c #s(literal 2 binary64))) (pow.f64 b_2 #s(literal 4 binary64))))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 b_2 (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 a c) (pow.f64 b_2 #s(literal 2 binary64)))) (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 c #s(literal 2 binary64))) (pow.f64 b_2 #s(literal 4 binary64)))) (*.f64 #s(literal -1/16 binary64) (/.f64 (*.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 c #s(literal 3 binary64))) (pow.f64 b_2 #s(literal 6 binary64)))))))))>
#<alt b_2>
#<alt (+.f64 b_2 (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 a c) b_2)))>
#<alt (+.f64 b_2 (*.f64 a (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 c b_2)) (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 a (pow.f64 c #s(literal 2 binary64))) (pow.f64 b_2 #s(literal 3 binary64)))))))>
#<alt (+.f64 b_2 (*.f64 a (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 c b_2)) (*.f64 a (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 c #s(literal 2 binary64)) (pow.f64 b_2 #s(literal 3 binary64)))) (*.f64 #s(literal -1/16 binary64) (/.f64 (*.f64 a (pow.f64 c #s(literal 3 binary64))) (pow.f64 b_2 #s(literal 5 binary64)))))))))>
#<alt (*.f64 (sqrt.f64 (*.f64 a c)) (sqrt.f64 #s(literal -1 binary64)))>
#<alt (*.f64 a (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) c))) (/.f64 (pow.f64 b_2 #s(literal 2 binary64)) (sqrt.f64 #s(literal -1 binary64))))) (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -1 binary64)))))>
#<alt (*.f64 a (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 5 binary64)) (pow.f64 c #s(literal 3 binary64))))) (/.f64 (pow.f64 b_2 #s(literal 4 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64))))) (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) c))) (/.f64 (pow.f64 b_2 #s(literal 2 binary64)) (sqrt.f64 #s(literal -1 binary64))))) (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -1 binary64))))))>
#<alt (*.f64 a (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 5 binary64)) (pow.f64 c #s(literal 3 binary64))))) (/.f64 (pow.f64 b_2 #s(literal 4 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64))))) (+.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 7 binary64)) (pow.f64 c #s(literal 5 binary64))))) (/.f64 (pow.f64 b_2 #s(literal 6 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64))))) (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) c))) (/.f64 (pow.f64 b_2 #s(literal 2 binary64)) (sqrt.f64 #s(literal -1 binary64))))) (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -1 binary64)))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 (*.f64 a c)) (sqrt.f64 #s(literal -1 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 a (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) c))) (*.f64 (pow.f64 b_2 #s(literal 2 binary64)) (sqrt.f64 #s(literal -1 binary64))))) (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -1 binary64))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 a (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 5 binary64)) (pow.f64 c #s(literal 3 binary64))))) (*.f64 (pow.f64 b_2 #s(literal 4 binary64)) (sqrt.f64 #s(literal -1 binary64))))) (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) c))) (*.f64 (pow.f64 b_2 #s(literal 2 binary64)) (sqrt.f64 #s(literal -1 binary64))))) (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -1 binary64)))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 a (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 5 binary64)) (pow.f64 c #s(literal 3 binary64))))) (*.f64 (pow.f64 b_2 #s(literal 4 binary64)) (sqrt.f64 #s(literal -1 binary64))))) (+.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 7 binary64)) (pow.f64 c #s(literal 5 binary64))))) (*.f64 (pow.f64 b_2 #s(literal 6 binary64)) (sqrt.f64 #s(literal -1 binary64))))) (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) c))) (*.f64 (pow.f64 b_2 #s(literal 2 binary64)) (sqrt.f64 #s(literal -1 binary64))))) (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -1 binary64))))))))>
#<alt b_2>
#<alt (+.f64 b_2 (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 a c) b_2)))>
#<alt (+.f64 b_2 (*.f64 c (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 a b_2)) (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (pow.f64 a #s(literal 2 binary64)) c) (pow.f64 b_2 #s(literal 3 binary64)))))))>
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#<alt (*.f64 #s(literal -1 binary64) (*.f64 b_2 (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 c (pow.f64 b_2 #s(literal 2 binary64)))) (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 a (pow.f64 c #s(literal 2 binary64))) (pow.f64 b_2 #s(literal 4 binary64)))) (+.f64 (*.f64 #s(literal -1/16 binary64) (/.f64 (*.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 c #s(literal 3 binary64))) (pow.f64 b_2 #s(literal 6 binary64)))) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) a)))))))>
#<alt (*.f64 #s(literal -1/2 binary64) (/.f64 c b_2))>
#<alt (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 c b_2)) (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 a (pow.f64 c #s(literal 2 binary64))) (pow.f64 b_2 #s(literal 3 binary64)))))>
#<alt (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 c b_2)) (*.f64 a (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 c #s(literal 2 binary64)) (pow.f64 b_2 #s(literal 3 binary64)))) (*.f64 #s(literal -1/16 binary64) (/.f64 (*.f64 a (pow.f64 c #s(literal 3 binary64))) (pow.f64 b_2 #s(literal 5 binary64)))))))>
#<alt (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 c b_2)) (*.f64 a (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 c #s(literal 2 binary64)) (pow.f64 b_2 #s(literal 3 binary64)))) (*.f64 a (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 a (+.f64 (*.f64 #s(literal 1/64 binary64) (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b_2 #s(literal 6 binary64)))) (*.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b_2 #s(literal 6 binary64)))))) b_2)) (*.f64 #s(literal -1/16 binary64) (/.f64 (pow.f64 c #s(literal 3 binary64)) (pow.f64 b_2 #s(literal 5 binary64)))))))))>
#<alt (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -1 binary64)))>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 b_2 a)) (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -1 binary64))))>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 b_2 a)) (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) c))) (/.f64 (pow.f64 b_2 #s(literal 2 binary64)) (sqrt.f64 #s(literal -1 binary64))))) (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -1 binary64)))))>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 b_2 a)) (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 5 binary64)) (pow.f64 c #s(literal 3 binary64))))) (/.f64 (pow.f64 b_2 #s(literal 4 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64))))) (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) c))) (/.f64 (pow.f64 b_2 #s(literal 2 binary64)) (sqrt.f64 #s(literal -1 binary64))))) (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -1 binary64))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -1 binary64))))>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -1 binary64)))) (*.f64 #s(literal -1 binary64) (/.f64 b_2 a)))>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -1 binary64)))) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 b_2 (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a c))) (*.f64 (pow.f64 b_2 #s(literal 2 binary64)) (sqrt.f64 #s(literal -1 binary64)))))) a)))>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -1 binary64)))) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 b_2 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 (/.f64 a c)) (*.f64 (pow.f64 b_2 #s(literal 2 binary64)) (sqrt.f64 #s(literal -1 binary64))))) (*.f64 #s(literal 1/8 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (pow.f64 c #s(literal 3 binary64))))) (*.f64 (pow.f64 b_2 #s(literal 4 binary64)) (sqrt.f64 #s(literal -1 binary64)))))) a))) a)))>
#<alt (*.f64 #s(literal -1/2 binary64) (/.f64 c b_2))>
#<alt (*.f64 c (-.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 a c) (pow.f64 b_2 #s(literal 3 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) b_2))))>
#<alt (*.f64 c (-.f64 (*.f64 c (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 a (pow.f64 b_2 #s(literal 3 binary64)))) (*.f64 #s(literal -1/16 binary64) (/.f64 (*.f64 (pow.f64 a #s(literal 2 binary64)) c) (pow.f64 b_2 #s(literal 5 binary64)))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) b_2))))>
#<alt (*.f64 c (-.f64 (*.f64 c (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 a (pow.f64 b_2 #s(literal 3 binary64)))) (*.f64 c (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 c (+.f64 (*.f64 #s(literal 1/64 binary64) (/.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b_2 #s(literal 6 binary64)))) (*.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b_2 #s(literal 6 binary64)))))) (*.f64 a b_2))) (*.f64 #s(literal -1/16 binary64) (/.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b_2 #s(literal 5 binary64)))))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) b_2))))>
#<alt (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -1 binary64)))>
#<alt (*.f64 c (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 b_2 (*.f64 a c))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a c))) (sqrt.f64 #s(literal -1 binary64)))))>
#<alt (*.f64 c (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 b_2 (*.f64 a c))) (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 c #s(literal 3 binary64))))) (/.f64 (pow.f64 b_2 #s(literal 2 binary64)) (sqrt.f64 #s(literal -1 binary64))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a c))) (sqrt.f64 #s(literal -1 binary64))))))>
#<alt (*.f64 c (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 b_2 (*.f64 a c))) (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 5 binary64)) (pow.f64 c #s(literal 5 binary64))))) (/.f64 (pow.f64 b_2 #s(literal 4 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64))))) (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 c #s(literal 3 binary64))))) (/.f64 (pow.f64 b_2 #s(literal 2 binary64)) (sqrt.f64 #s(literal -1 binary64))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a c))) (sqrt.f64 #s(literal -1 binary64)))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -1 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 c (+.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a c))) (sqrt.f64 #s(literal -1 binary64))) (/.f64 b_2 (*.f64 a c)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 c (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 b_2 a)) (*.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) c))) (*.f64 (pow.f64 b_2 #s(literal 2 binary64)) (sqrt.f64 #s(literal -1 binary64)))))) c)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a c))) (sqrt.f64 #s(literal -1 binary64))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 c (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 b_2 a)) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 5 binary64)) c))) (*.f64 (pow.f64 b_2 #s(literal 4 binary64)) (sqrt.f64 #s(literal -1 binary64))))) (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 c (pow.f64 a #s(literal 3 binary64)))) (*.f64 (pow.f64 b_2 #s(literal 2 binary64)) (sqrt.f64 #s(literal -1 binary64)))))) c))) c)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a c))) (sqrt.f64 #s(literal -1 binary64))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 a c))>
#<alt (-.f64 (pow.f64 b_2 #s(literal 2 binary64)) (*.f64 a c))>
#<alt (-.f64 (pow.f64 b_2 #s(literal 2 binary64)) (*.f64 a c))>
#<alt (-.f64 (pow.f64 b_2 #s(literal 2 binary64)) (*.f64 a c))>
#<alt (pow.f64 b_2 #s(literal 2 binary64))>
#<alt (*.f64 (pow.f64 b_2 #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 a c) (pow.f64 b_2 #s(literal 2 binary64))))))>
#<alt (*.f64 (pow.f64 b_2 #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 a c) (pow.f64 b_2 #s(literal 2 binary64))))))>
#<alt (*.f64 (pow.f64 b_2 #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 a c) (pow.f64 b_2 #s(literal 2 binary64))))))>
#<alt (pow.f64 b_2 #s(literal 2 binary64))>
#<alt (*.f64 (pow.f64 b_2 #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 a c) (pow.f64 b_2 #s(literal 2 binary64))))))>
#<alt (*.f64 (pow.f64 b_2 #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 a c) (pow.f64 b_2 #s(literal 2 binary64))))))>
#<alt (*.f64 (pow.f64 b_2 #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 a c) (pow.f64 b_2 #s(literal 2 binary64))))))>
#<alt (pow.f64 b_2 #s(literal 2 binary64))>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 a c)) (pow.f64 b_2 #s(literal 2 binary64)))>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 a c)) (pow.f64 b_2 #s(literal 2 binary64)))>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 a c)) (pow.f64 b_2 #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 a c))>
#<alt (*.f64 a (-.f64 (/.f64 (pow.f64 b_2 #s(literal 2 binary64)) a) c))>
#<alt (*.f64 a (-.f64 (/.f64 (pow.f64 b_2 #s(literal 2 binary64)) a) c))>
#<alt (*.f64 a (-.f64 (/.f64 (pow.f64 b_2 #s(literal 2 binary64)) a) c))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 a c))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 a (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 b_2 #s(literal 2 binary64)) a)) (*.f64 #s(literal -1 binary64) c))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 a (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 b_2 #s(literal 2 binary64)) a)) (*.f64 #s(literal -1 binary64) c))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 a (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 b_2 #s(literal 2 binary64)) a)) (*.f64 #s(literal -1 binary64) c))))>
#<alt (pow.f64 b_2 #s(literal 2 binary64))>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 a c)) (pow.f64 b_2 #s(literal 2 binary64)))>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 a c)) (pow.f64 b_2 #s(literal 2 binary64)))>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 a c)) (pow.f64 b_2 #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 a c))>
#<alt (*.f64 c (-.f64 (/.f64 (pow.f64 b_2 #s(literal 2 binary64)) c) a))>
#<alt (*.f64 c (-.f64 (/.f64 (pow.f64 b_2 #s(literal 2 binary64)) c) a))>
#<alt (*.f64 c (-.f64 (/.f64 (pow.f64 b_2 #s(literal 2 binary64)) c) a))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 a c))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 c (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 b_2 #s(literal 2 binary64)) c)) (*.f64 #s(literal -1 binary64) a))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 c (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 b_2 #s(literal 2 binary64)) c)) (*.f64 #s(literal -1 binary64) a))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 c (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 b_2 #s(literal 2 binary64)) c)) (*.f64 #s(literal -1 binary64) a))))>
Calls

36 calls:

TimeVariablePointExpression
3.0ms
c
@-inf
(- (sqrt (- (* b_2 b_2) (* a c))) b_2)
2.0ms
a
@-inf
(/ (- (sqrt (- (* b_2 b_2) (* a c))) b_2) a)
1.0ms
a
@-inf
(sqrt (- (* b_2 b_2) (* a c)))
1.0ms
a
@inf
(sqrt (- (* b_2 b_2) (* a c)))
1.0ms
c
@inf
(sqrt (- (* b_2 b_2) (* a c)))

rewrite309.0ms (3.5%)

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)))))) #s(literal 1 binary64))
(*.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 c (neg.f64 a)))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (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 #s(literal 2 binary64)) (*.f64 a c))))
(*.f64 (cbrt.f64 (-.f64 (pow.f64 b_2 #s(literal 2 binary64)) (*.f64 a c))) (cbrt.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 c (neg.f64 a))))))
(*.f64 (pow.f64 (-.f64 (pow.f64 b_2 #s(literal 2 binary64)) (*.f64 a c)) #s(literal 1/4 binary64)) (pow.f64 (-.f64 (pow.f64 b_2 #s(literal 2 binary64)) (*.f64 a c)) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/2 binary64)) (hypot.f64 b_2 (sqrt.f64 (*.f64 c (neg.f64 a)))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (-.f64 (pow.f64 b_2 #s(literal 2 binary64)) (*.f64 a c))) #s(literal 2 binary64)) #s(literal 1/2 binary64)) (pow.f64 (cbrt.f64 (-.f64 (pow.f64 b_2 #s(literal 2 binary64)) (*.f64 a c))) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (-.f64 (pow.f64 b_2 #s(literal 2 binary64)) (*.f64 a c))) #s(literal 2 binary64))) (sqrt.f64 (cbrt.f64 (-.f64 (pow.f64 b_2 #s(literal 2 binary64)) (*.f64 a c)))))
(/.f64 (sqrt.f64 (-.f64 (pow.f64 b_2 #s(literal 4 binary64)) (pow.f64 (*.f64 a c) #s(literal 2 binary64)))) (hypot.f64 b_2 (sqrt.f64 (*.f64 a c))))
(/.f64 (sqrt.f64 (-.f64 (pow.f64 b_2 #s(literal 6 binary64)) (pow.f64 (*.f64 a c) #s(literal 3 binary64)))) (sqrt.f64 (fma.f64 (*.f64 a c) (fma.f64 a c (pow.f64 b_2 #s(literal 2 binary64))) (pow.f64 b_2 #s(literal 4 binary64)))))
(pow.f64 (-.f64 (pow.f64 b_2 #s(literal 2 binary64)) (*.f64 a c)) #s(literal 1/2 binary64))
(pow.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 c (neg.f64 a)))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 c (neg.f64 a))))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (-.f64 (pow.f64 b_2 #s(literal 2 binary64)) (*.f64 a c)) #s(literal 3/2 binary64)) #s(literal 1/3 binary64))
(pow.f64 (pow.f64 (-.f64 (pow.f64 b_2 #s(literal 2 binary64)) (*.f64 a c)) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(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 #s(literal 1 binary64) (expm1.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 c (neg.f64 a)))))))
(cbrt.f64 (pow.f64 (-.f64 (pow.f64 b_2 #s(literal 2 binary64)) (*.f64 a c)) #s(literal 3/2 binary64)))
(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 #s(literal 2 binary64)) (*.f64 a c))) #s(literal 1/2 binary64)))
(exp.f64 (*.f64 (log.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 c (neg.f64 a))))) #s(literal 1 binary64)))
(+.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) #s(literal 1 binary64)))
(+.f64 (-.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 c (neg.f64 a)))) b_2) (fma.f64 (neg.f64 b_2) #s(literal 1 binary64) 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) #s(literal 2 binary64)) 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)))))
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(fma.f64 #s(literal -1 binary64) (*.f64 a c) (pow.f64 b_2 #s(literal 2 binary64)))
(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 #s(literal 2 binary64)))
(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 #s(literal 2 binary64)) (*.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)) #s(literal 1 binary64)))
(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 #s(literal 2 binary64)) (*.f64 a c)) #s(literal 1/4 binary64))) (pow.f64 (-.f64 (pow.f64 b_2 #s(literal 2 binary64)) (*.f64 a c)) #s(literal 1/4 binary64)) (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 #s(literal 2 binary64)) (*.f64 a c)) #s(literal 1/4 binary64))) (pow.f64 (-.f64 (pow.f64 b_2 #s(literal 2 binary64)) (*.f64 a c)) #s(literal 1/4 binary64)) (fma.f64 (*.f64 c (neg.f64 a)) #s(literal 1 binary64) (*.f64 a c)))
(fma.f64 (*.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 c (neg.f64 a)))) (pow.f64 (-.f64 (pow.f64 b_2 #s(literal 2 binary64)) (*.f64 a c)) #s(literal 1/4 binary64))) (pow.f64 (-.f64 (pow.f64 b_2 #s(literal 2 binary64)) (*.f64 a c)) #s(literal 1/4 binary64)) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 a c))) (pow.f64 (cbrt.f64 (*.f64 a c)) #s(literal 2 binary64)) (*.f64 a c)))
(fma.f64 (*.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 c (neg.f64 a)))) (pow.f64 (-.f64 (pow.f64 b_2 #s(literal 2 binary64)) (*.f64 a c)) #s(literal 1/4 binary64))) (pow.f64 (-.f64 (pow.f64 b_2 #s(literal 2 binary64)) (*.f64 a c)) #s(literal 1/4 binary64)) (*.f64 (fma.f64 a (neg.f64 c) (*.f64 a c)) #s(literal 1 binary64)))
(fma.f64 (*.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 c (neg.f64 a)))) (pow.f64 (-.f64 (pow.f64 b_2 #s(literal 2 binary64)) (*.f64 a c)) #s(literal 1/4 binary64))) (pow.f64 (-.f64 (pow.f64 b_2 #s(literal 2 binary64)) (*.f64 a c)) #s(literal 1/4 binary64)) (+.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 #s(literal 2 binary64)))
(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 #s(literal 2 binary64)) (*.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)) #s(literal 1 binary64) (*.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)) #s(literal 2 binary64)) (*.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)) #s(literal 1 binary64)))
(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)) #s(literal 2 binary64))) (cbrt.f64 (*.f64 a c)) (pow.f64 b_2 #s(literal 2 binary64)))
(fma.f64 (*.f64 (neg.f64 a) #s(literal 1 binary64)) c (pow.f64 b_2 #s(literal 2 binary64)))
(fma.f64 (*.f64 (neg.f64 a) (pow.f64 (cbrt.f64 c) #s(literal 2 binary64))) (cbrt.f64 c) (pow.f64 b_2 #s(literal 2 binary64)))
(fma.f64 (*.f64 (neg.f64 a) (sqrt.f64 c)) (sqrt.f64 c) (pow.f64 b_2 #s(literal 2 binary64)))
(fma.f64 (*.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 c (neg.f64 a)))) (cbrt.f64 (-.f64 (pow.f64 b_2 #s(literal 2 binary64)) (*.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 #s(literal 2 binary64)) (*.f64 a c)))) (cbrt.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 c (neg.f64 a))))) (fma.f64 (*.f64 c (neg.f64 a)) #s(literal 1 binary64) (*.f64 a c)))
(fma.f64 (*.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 c (neg.f64 a)))) (cbrt.f64 (-.f64 (pow.f64 b_2 #s(literal 2 binary64)) (*.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)) #s(literal 2 binary64)) (*.f64 a c)))
(fma.f64 (*.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 c (neg.f64 a)))) (cbrt.f64 (-.f64 (pow.f64 b_2 #s(literal 2 binary64)) (*.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)) #s(literal 1 binary64)))
(fma.f64 (*.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 c (neg.f64 a)))) (cbrt.f64 (-.f64 (pow.f64 b_2 #s(literal 2 binary64)) (*.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) #s(literal 2 binary64))) (cbrt.f64 b_2) (*.f64 c (neg.f64 a)))
(fma.f64 (*.f64 b_2 (pow.f64 (cbrt.f64 b_2) #s(literal 2 binary64))) (cbrt.f64 b_2) (*.f64 (*.f64 c (neg.f64 a)) #s(literal 1 binary64)))
(fma.f64 (*.f64 b_2 (pow.f64 (cbrt.f64 b_2) #s(literal 2 binary64))) (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) #s(literal 2 binary64))) (cbrt.f64 b_2) (neg.f64 (-.f64 (*.f64 a c) (fma.f64 a (neg.f64 c) (*.f64 a c)))))

simplify389.0ms (4.4%)

Algorithm
egg-herbie
Rules
1414×fma-define
1288×associate-*r*
796×distribute-lft-in
794×distribute-rgt-in
610×*-commutative
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0108933894
1296831870
Stop Event
node limit
Counts
483 → 694
Calls
Call 1
Inputs
(*.f64 (sqrt.f64 (*.f64 a c)) (sqrt.f64 #s(literal -1 binary64)))
(+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a c))) (/.f64 (pow.f64 b_2 #s(literal 2 binary64)) (sqrt.f64 #s(literal -1 binary64))))) (*.f64 (sqrt.f64 (*.f64 a c)) (sqrt.f64 #s(literal -1 binary64))))
(+.f64 (*.f64 (sqrt.f64 (*.f64 a c)) (sqrt.f64 #s(literal -1 binary64))) (*.f64 (pow.f64 b_2 #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 c #s(literal 3 binary64))))) (/.f64 (pow.f64 b_2 #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64))))) (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a c))) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -1 binary64))))))))
(+.f64 (*.f64 (sqrt.f64 (*.f64 a c)) (sqrt.f64 #s(literal -1 binary64))) (*.f64 (pow.f64 b_2 #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a c))) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -1 binary64))))) (*.f64 (pow.f64 b_2 #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 c #s(literal 3 binary64))))) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64))))) (*.f64 #s(literal 1/16 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 5 binary64)) (pow.f64 c #s(literal 5 binary64))))) (/.f64 (pow.f64 b_2 #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64))))))))))
b_2
(*.f64 b_2 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 a c) (pow.f64 b_2 #s(literal 2 binary64))))))
(*.f64 b_2 (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 a c) (pow.f64 b_2 #s(literal 2 binary64)))) (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 c #s(literal 2 binary64))) (pow.f64 b_2 #s(literal 4 binary64)))))))
(*.f64 b_2 (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 a c) (pow.f64 b_2 #s(literal 2 binary64)))) (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 c #s(literal 2 binary64))) (pow.f64 b_2 #s(literal 4 binary64)))) (*.f64 #s(literal -1/16 binary64) (/.f64 (*.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 c #s(literal 3 binary64))) (pow.f64 b_2 #s(literal 6 binary64))))))))
(*.f64 #s(literal -1 binary64) b_2)
(*.f64 #s(literal -1 binary64) (*.f64 b_2 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 a c) (pow.f64 b_2 #s(literal 2 binary64)))))))
(*.f64 #s(literal -1 binary64) (*.f64 b_2 (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 a c) (pow.f64 b_2 #s(literal 2 binary64)))) (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 c #s(literal 2 binary64))) (pow.f64 b_2 #s(literal 4 binary64))))))))
(*.f64 #s(literal -1 binary64) (*.f64 b_2 (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 a c) (pow.f64 b_2 #s(literal 2 binary64)))) (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 c #s(literal 2 binary64))) (pow.f64 b_2 #s(literal 4 binary64)))) (*.f64 #s(literal -1/16 binary64) (/.f64 (*.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 c #s(literal 3 binary64))) (pow.f64 b_2 #s(literal 6 binary64)))))))))
b_2
(+.f64 b_2 (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 a c) b_2)))
(+.f64 b_2 (*.f64 a (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 c b_2)) (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 a (pow.f64 c #s(literal 2 binary64))) (pow.f64 b_2 #s(literal 3 binary64)))))))
(+.f64 b_2 (*.f64 a (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 c b_2)) (*.f64 a (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 c #s(literal 2 binary64)) (pow.f64 b_2 #s(literal 3 binary64)))) (*.f64 #s(literal -1/16 binary64) (/.f64 (*.f64 a (pow.f64 c #s(literal 3 binary64))) (pow.f64 b_2 #s(literal 5 binary64)))))))))
(*.f64 (sqrt.f64 (*.f64 a c)) (sqrt.f64 #s(literal -1 binary64)))
(*.f64 a (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) c))) (/.f64 (pow.f64 b_2 #s(literal 2 binary64)) (sqrt.f64 #s(literal -1 binary64))))) (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -1 binary64)))))
(*.f64 a (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 5 binary64)) (pow.f64 c #s(literal 3 binary64))))) (/.f64 (pow.f64 b_2 #s(literal 4 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64))))) (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) c))) (/.f64 (pow.f64 b_2 #s(literal 2 binary64)) (sqrt.f64 #s(literal -1 binary64))))) (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -1 binary64))))))
(*.f64 a (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 5 binary64)) (pow.f64 c #s(literal 3 binary64))))) (/.f64 (pow.f64 b_2 #s(literal 4 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64))))) (+.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 7 binary64)) (pow.f64 c #s(literal 5 binary64))))) (/.f64 (pow.f64 b_2 #s(literal 6 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64))))) (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) c))) (/.f64 (pow.f64 b_2 #s(literal 2 binary64)) (sqrt.f64 #s(literal -1 binary64))))) (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -1 binary64)))))))
(*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 (*.f64 a c)) (sqrt.f64 #s(literal -1 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 a (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) c))) (*.f64 (pow.f64 b_2 #s(literal 2 binary64)) (sqrt.f64 #s(literal -1 binary64))))) (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -1 binary64))))))
(*.f64 #s(literal -1 binary64) (*.f64 a (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 5 binary64)) (pow.f64 c #s(literal 3 binary64))))) (*.f64 (pow.f64 b_2 #s(literal 4 binary64)) (sqrt.f64 #s(literal -1 binary64))))) (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) c))) (*.f64 (pow.f64 b_2 #s(literal 2 binary64)) (sqrt.f64 #s(literal -1 binary64))))) (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -1 binary64)))))))
(*.f64 #s(literal -1 binary64) (*.f64 a (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 5 binary64)) (pow.f64 c #s(literal 3 binary64))))) (*.f64 (pow.f64 b_2 #s(literal 4 binary64)) (sqrt.f64 #s(literal -1 binary64))))) (+.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 7 binary64)) (pow.f64 c #s(literal 5 binary64))))) (*.f64 (pow.f64 b_2 #s(literal 6 binary64)) (sqrt.f64 #s(literal -1 binary64))))) (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) c))) (*.f64 (pow.f64 b_2 #s(literal 2 binary64)) (sqrt.f64 #s(literal -1 binary64))))) (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -1 binary64))))))))
b_2
(+.f64 b_2 (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 a c) b_2)))
(+.f64 b_2 (*.f64 c (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 a b_2)) (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (pow.f64 a #s(literal 2 binary64)) c) (pow.f64 b_2 #s(literal 3 binary64)))))))
(+.f64 b_2 (*.f64 c (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 a b_2)) (*.f64 c (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b_2 #s(literal 3 binary64)))) (*.f64 #s(literal -1/16 binary64) (/.f64 (*.f64 (pow.f64 a #s(literal 3 binary64)) c) (pow.f64 b_2 #s(literal 5 binary64)))))))))
(*.f64 (sqrt.f64 (*.f64 a c)) (sqrt.f64 #s(literal -1 binary64)))
(*.f64 c (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (pow.f64 c #s(literal 3 binary64))))) (/.f64 (pow.f64 b_2 #s(literal 2 binary64)) (sqrt.f64 #s(literal -1 binary64))))) (*.f64 (sqrt.f64 (/.f64 a c)) (sqrt.f64 #s(literal -1 binary64)))))
(*.f64 c (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 c #s(literal 5 binary64))))) (/.f64 (pow.f64 b_2 #s(literal 4 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64))))) (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (pow.f64 c #s(literal 3 binary64))))) (/.f64 (pow.f64 b_2 #s(literal 2 binary64)) (sqrt.f64 #s(literal -1 binary64))))) (*.f64 (sqrt.f64 (/.f64 a c)) (sqrt.f64 #s(literal -1 binary64))))))
(*.f64 c (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 c #s(literal 5 binary64))))) (/.f64 (pow.f64 b_2 #s(literal 4 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64))))) (+.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 5 binary64)) (pow.f64 c #s(literal 7 binary64))))) (/.f64 (pow.f64 b_2 #s(literal 6 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64))))) (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (pow.f64 c #s(literal 3 binary64))))) (/.f64 (pow.f64 b_2 #s(literal 2 binary64)) (sqrt.f64 #s(literal -1 binary64))))) (*.f64 (sqrt.f64 (/.f64 a c)) (sqrt.f64 #s(literal -1 binary64)))))))
(*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 (*.f64 a c)) (sqrt.f64 #s(literal -1 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 c (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (pow.f64 c #s(literal 3 binary64))))) (*.f64 (pow.f64 b_2 #s(literal 2 binary64)) (sqrt.f64 #s(literal -1 binary64))))) (*.f64 (sqrt.f64 (/.f64 a c)) (sqrt.f64 #s(literal -1 binary64))))))
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(fma.f64 (*.f64 (neg.f64 a) #s(literal 1 binary64)) c (pow.f64 b_2 #s(literal 2 binary64)))
(fma.f64 (*.f64 (neg.f64 a) (pow.f64 (cbrt.f64 c) #s(literal 2 binary64))) (cbrt.f64 c) (pow.f64 b_2 #s(literal 2 binary64)))
(fma.f64 (*.f64 (neg.f64 a) (sqrt.f64 c)) (sqrt.f64 c) (pow.f64 b_2 #s(literal 2 binary64)))
(fma.f64 (*.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 c (neg.f64 a)))) (cbrt.f64 (-.f64 (pow.f64 b_2 #s(literal 2 binary64)) (*.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 #s(literal 2 binary64)) (*.f64 a c)))) (cbrt.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 c (neg.f64 a))))) (fma.f64 (*.f64 c (neg.f64 a)) #s(literal 1 binary64) (*.f64 a c)))
(fma.f64 (*.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 c (neg.f64 a)))) (cbrt.f64 (-.f64 (pow.f64 b_2 #s(literal 2 binary64)) (*.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)) #s(literal 2 binary64)) (*.f64 a c)))
(fma.f64 (*.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 c (neg.f64 a)))) (cbrt.f64 (-.f64 (pow.f64 b_2 #s(literal 2 binary64)) (*.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)) #s(literal 1 binary64)))
(fma.f64 (*.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 c (neg.f64 a)))) (cbrt.f64 (-.f64 (pow.f64 b_2 #s(literal 2 binary64)) (*.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) #s(literal 2 binary64))) (cbrt.f64 b_2) (*.f64 c (neg.f64 a)))
(fma.f64 (*.f64 b_2 (pow.f64 (cbrt.f64 b_2) #s(literal 2 binary64))) (cbrt.f64 b_2) (*.f64 (*.f64 c (neg.f64 a)) #s(literal 1 binary64)))
(fma.f64 (*.f64 b_2 (pow.f64 (cbrt.f64 b_2) #s(literal 2 binary64))) (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) #s(literal 2 binary64))) (cbrt.f64 b_2) (neg.f64 (-.f64 (*.f64 a c) (fma.f64 a (neg.f64 c) (*.f64 a c)))))
Outputs
(*.f64 (sqrt.f64 (*.f64 a c)) (sqrt.f64 #s(literal -1 binary64)))
(+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a c))) (/.f64 (pow.f64 b_2 #s(literal 2 binary64)) (sqrt.f64 #s(literal -1 binary64))))) (*.f64 (sqrt.f64 (*.f64 a c)) (sqrt.f64 #s(literal -1 binary64))))
(fma.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a c))) (/.f64 (pow.f64 b_2 #s(literal 2 binary64)) (sqrt.f64 #s(literal -1 binary64)))) (*.f64 (sqrt.f64 (*.f64 a c)) (sqrt.f64 #s(literal -1 binary64))))
(fma.f64 (sqrt.f64 (*.f64 a c)) (sqrt.f64 #s(literal -1 binary64)) (*.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) a) c))) (/.f64 (pow.f64 b_2 #s(literal 2 binary64)) (sqrt.f64 #s(literal -1 binary64)))))
(+.f64 (*.f64 (sqrt.f64 (*.f64 a c)) (sqrt.f64 #s(literal -1 binary64))) (*.f64 (pow.f64 b_2 #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 c #s(literal 3 binary64))))) (/.f64 (pow.f64 b_2 #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64))))) (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a c))) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -1 binary64))))))))
(fma.f64 (sqrt.f64 (*.f64 a c)) (sqrt.f64 #s(literal -1 binary64)) (*.f64 (pow.f64 b_2 #s(literal 2 binary64)) (fma.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (*.f64 a c) #s(literal 3 binary64)))) (/.f64 (pow.f64 b_2 #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64)))) (*.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a c)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -1 binary64)))))))
(fma.f64 (pow.f64 b_2 #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) (/.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) a) c)) (sqrt.f64 #s(literal -1 binary64))) (*.f64 (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (*.f64 a c) #s(literal 3 binary64))))) (/.f64 (pow.f64 b_2 #s(literal 2 binary64)) (*.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal -1 binary64)))))) (*.f64 (sqrt.f64 (*.f64 a c)) (sqrt.f64 #s(literal -1 binary64))))
(+.f64 (*.f64 (sqrt.f64 (*.f64 a c)) (sqrt.f64 #s(literal -1 binary64))) (*.f64 (pow.f64 b_2 #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a c))) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -1 binary64))))) (*.f64 (pow.f64 b_2 #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 c #s(literal 3 binary64))))) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64))))) (*.f64 #s(literal 1/16 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 5 binary64)) (pow.f64 c #s(literal 5 binary64))))) (/.f64 (pow.f64 b_2 #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64))))))))))
(fma.f64 (sqrt.f64 (*.f64 a c)) (sqrt.f64 #s(literal -1 binary64)) (*.f64 (pow.f64 b_2 #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a c))) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -1 binary64)))) (*.f64 (pow.f64 b_2 #s(literal 2 binary64)) (fma.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (*.f64 a c) #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64)))) (*.f64 #s(literal 1/16 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 5 binary64)) (pow.f64 c #s(literal 5 binary64))))) (/.f64 (pow.f64 b_2 #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64))))))))))
(fma.f64 (pow.f64 b_2 #s(literal 2 binary64)) (fma.f64 (pow.f64 b_2 #s(literal 2 binary64)) (fma.f64 #s(literal -1/8 binary64) (*.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (*.f64 a c) #s(literal 3 binary64)))) (sqrt.f64 #s(literal -1 binary64))) #s(literal -1 binary64)) (*.f64 (*.f64 #s(literal 1/16 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 5 binary64)) (pow.f64 c #s(literal 5 binary64)))))) (/.f64 (pow.f64 b_2 #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64))))) (*.f64 #s(literal 1/2 binary64) (/.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) a) c)) (sqrt.f64 #s(literal -1 binary64))))) (*.f64 (sqrt.f64 (*.f64 a c)) (sqrt.f64 #s(literal -1 binary64))))
b_2
(*.f64 b_2 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 a c) (pow.f64 b_2 #s(literal 2 binary64))))))
(*.f64 b_2 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 a (/.f64 c (pow.f64 b_2 #s(literal 2 binary64)))))))
(*.f64 b_2 (fma.f64 #s(literal -1/2 binary64) (*.f64 a (/.f64 c (pow.f64 b_2 #s(literal 2 binary64)))) #s(literal 1 binary64)))
(*.f64 b_2 (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 a c) (pow.f64 b_2 #s(literal 2 binary64)))) (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 c #s(literal 2 binary64))) (pow.f64 b_2 #s(literal 4 binary64)))))))
(*.f64 b_2 (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (*.f64 a (/.f64 c (pow.f64 b_2 #s(literal 2 binary64)))) (*.f64 #s(literal -1/8 binary64) (*.f64 (pow.f64 a #s(literal 2 binary64)) (/.f64 (pow.f64 c #s(literal 2 binary64)) (pow.f64 b_2 #s(literal 4 binary64))))))))
(*.f64 b_2 (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 (*.f64 a c) #s(literal 2 binary64)) (pow.f64 b_2 #s(literal 4 binary64))) (/.f64 (*.f64 (*.f64 c #s(literal -1/2 binary64)) a) (pow.f64 b_2 #s(literal 2 binary64))))))
(*.f64 b_2 (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 a c) (pow.f64 b_2 #s(literal 2 binary64)))) (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 c #s(literal 2 binary64))) (pow.f64 b_2 #s(literal 4 binary64)))) (*.f64 #s(literal -1/16 binary64) (/.f64 (*.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 c #s(literal 3 binary64))) (pow.f64 b_2 #s(literal 6 binary64))))))))
(*.f64 b_2 (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (*.f64 a (/.f64 c (pow.f64 b_2 #s(literal 2 binary64)))) (fma.f64 #s(literal -1/8 binary64) (*.f64 (pow.f64 a #s(literal 2 binary64)) (/.f64 (pow.f64 c #s(literal 2 binary64)) (pow.f64 b_2 #s(literal 4 binary64)))) (*.f64 #s(literal -1/16 binary64) (/.f64 (pow.f64 (*.f64 a c) #s(literal 3 binary64)) (pow.f64 b_2 #s(literal 6 binary64))))))))
(*.f64 b_2 (+.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 a (/.f64 c (pow.f64 b_2 #s(literal 2 binary64)))) #s(literal 1 binary64)) (fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 (*.f64 a c) #s(literal 2 binary64)) (pow.f64 b_2 #s(literal 4 binary64))) (*.f64 #s(literal -1/16 binary64) (/.f64 (pow.f64 (*.f64 a c) #s(literal 3 binary64)) (pow.f64 b_2 #s(literal 6 binary64)))))))
(*.f64 #s(literal -1 binary64) b_2)
(neg.f64 b_2)
(*.f64 #s(literal -1 binary64) (*.f64 b_2 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 a c) (pow.f64 b_2 #s(literal 2 binary64)))))))
(*.f64 (neg.f64 b_2) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 a (/.f64 c (pow.f64 b_2 #s(literal 2 binary64)))))))
(*.f64 b_2 (neg.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 a (/.f64 c (pow.f64 b_2 #s(literal 2 binary64)))) #s(literal 1 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 b_2 (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 a c) (pow.f64 b_2 #s(literal 2 binary64)))) (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 c #s(literal 2 binary64))) (pow.f64 b_2 #s(literal 4 binary64))))))))
(*.f64 (neg.f64 b_2) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (*.f64 a (/.f64 c (pow.f64 b_2 #s(literal 2 binary64)))) (*.f64 #s(literal -1/8 binary64) (*.f64 (pow.f64 a #s(literal 2 binary64)) (/.f64 (pow.f64 c #s(literal 2 binary64)) (pow.f64 b_2 #s(literal 4 binary64))))))))
(*.f64 b_2 (neg.f64 (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 (*.f64 a c) #s(literal 2 binary64)) (pow.f64 b_2 #s(literal 4 binary64))) (/.f64 (*.f64 (*.f64 c #s(literal -1/2 binary64)) a) (pow.f64 b_2 #s(literal 2 binary64)))))))
(*.f64 #s(literal -1 binary64) (*.f64 b_2 (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 a c) (pow.f64 b_2 #s(literal 2 binary64)))) (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 c #s(literal 2 binary64))) (pow.f64 b_2 #s(literal 4 binary64)))) (*.f64 #s(literal -1/16 binary64) (/.f64 (*.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 c #s(literal 3 binary64))) (pow.f64 b_2 #s(literal 6 binary64)))))))))
(*.f64 (neg.f64 b_2) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (*.f64 a (/.f64 c (pow.f64 b_2 #s(literal 2 binary64)))) (fma.f64 #s(literal -1/8 binary64) (*.f64 (pow.f64 a #s(literal 2 binary64)) (/.f64 (pow.f64 c #s(literal 2 binary64)) (pow.f64 b_2 #s(literal 4 binary64)))) (*.f64 #s(literal -1/16 binary64) (/.f64 (pow.f64 (*.f64 a c) #s(literal 3 binary64)) (pow.f64 b_2 #s(literal 6 binary64))))))))
(*.f64 (+.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 a (/.f64 c (pow.f64 b_2 #s(literal 2 binary64)))) #s(literal 1 binary64)) (fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 (*.f64 a c) #s(literal 2 binary64)) (pow.f64 b_2 #s(literal 4 binary64))) (*.f64 #s(literal -1/16 binary64) (/.f64 (pow.f64 (*.f64 a c) #s(literal 3 binary64)) (pow.f64 b_2 #s(literal 6 binary64)))))) (neg.f64 b_2))
b_2
(+.f64 b_2 (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 a c) b_2)))
(+.f64 b_2 (*.f64 #s(literal -1/2 binary64) (*.f64 a (/.f64 c b_2))))
(fma.f64 #s(literal -1/2 binary64) (*.f64 a (/.f64 c b_2)) b_2)
(+.f64 b_2 (*.f64 a (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 c b_2)) (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 a (pow.f64 c #s(literal 2 binary64))) (pow.f64 b_2 #s(literal 3 binary64)))))))
(+.f64 b_2 (*.f64 a (fma.f64 #s(literal -1/2 binary64) (/.f64 c b_2) (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 a (pow.f64 c #s(literal 2 binary64))) (pow.f64 b_2 #s(literal 3 binary64)))))))
(fma.f64 a (fma.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 a (pow.f64 c #s(literal 2 binary64))) (pow.f64 b_2 #s(literal 3 binary64))) (/.f64 (*.f64 c #s(literal -1/2 binary64)) b_2)) b_2)
(+.f64 b_2 (*.f64 a (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 c b_2)) (*.f64 a (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 c #s(literal 2 binary64)) (pow.f64 b_2 #s(literal 3 binary64)))) (*.f64 #s(literal -1/16 binary64) (/.f64 (*.f64 a (pow.f64 c #s(literal 3 binary64))) (pow.f64 b_2 #s(literal 5 binary64)))))))))
(+.f64 b_2 (*.f64 a (fma.f64 #s(literal -1/2 binary64) (/.f64 c b_2) (*.f64 a (fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 c #s(literal 2 binary64)) (pow.f64 b_2 #s(literal 3 binary64))) (*.f64 #s(literal -1/16 binary64) (/.f64 (*.f64 a (pow.f64 c #s(literal 3 binary64))) (pow.f64 b_2 #s(literal 5 binary64)))))))))
(fma.f64 a (fma.f64 a (fma.f64 #s(literal -1/16 binary64) (/.f64 (*.f64 a (pow.f64 c #s(literal 3 binary64))) (pow.f64 b_2 #s(literal 5 binary64))) (/.f64 (*.f64 #s(literal -1/8 binary64) (pow.f64 c #s(literal 2 binary64))) (pow.f64 b_2 #s(literal 3 binary64)))) (/.f64 (*.f64 c #s(literal -1/2 binary64)) b_2)) b_2)
(*.f64 (sqrt.f64 (*.f64 a c)) (sqrt.f64 #s(literal -1 binary64)))
(*.f64 a (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) c))) (/.f64 (pow.f64 b_2 #s(literal 2 binary64)) (sqrt.f64 #s(literal -1 binary64))))) (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -1 binary64)))))
(*.f64 a (fma.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 (pow.f64 b_2 #s(literal 2 binary64)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c (pow.f64 a #s(literal 3 binary64)))))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 c a)))))
(*.f64 a (fma.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 c a)) (*.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c (pow.f64 a #s(literal 3 binary64)))))) (/.f64 (pow.f64 b_2 #s(literal 2 binary64)) (sqrt.f64 #s(literal -1 binary64))))))
(*.f64 a (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 5 binary64)) (pow.f64 c #s(literal 3 binary64))))) (/.f64 (pow.f64 b_2 #s(literal 4 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64))))) (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) c))) (/.f64 (pow.f64 b_2 #s(literal 2 binary64)) (sqrt.f64 #s(literal -1 binary64))))) (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -1 binary64))))))
(*.f64 a (fma.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 c #s(literal 3 binary64)) (pow.f64 a #s(literal 5 binary64))))) (/.f64 (pow.f64 b_2 #s(literal 4 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64)))) (fma.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 (pow.f64 b_2 #s(literal 2 binary64)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c (pow.f64 a #s(literal 3 binary64)))))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 c a))))))
(*.f64 a (fma.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 c #s(literal 3 binary64)) (pow.f64 a #s(literal 5 binary64))))) (/.f64 (pow.f64 b_2 #s(literal 4 binary64)) (*.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal -1 binary64))))) (fma.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 c a)) (*.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c (pow.f64 a #s(literal 3 binary64)))))) (/.f64 (pow.f64 b_2 #s(literal 2 binary64)) (sqrt.f64 #s(literal -1 binary64)))))))
(*.f64 a (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 5 binary64)) (pow.f64 c #s(literal 3 binary64))))) (/.f64 (pow.f64 b_2 #s(literal 4 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64))))) (+.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 7 binary64)) (pow.f64 c #s(literal 5 binary64))))) (/.f64 (pow.f64 b_2 #s(literal 6 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64))))) (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) c))) (/.f64 (pow.f64 b_2 #s(literal 2 binary64)) (sqrt.f64 #s(literal -1 binary64))))) (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -1 binary64)))))))
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b_2
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(*.f64 (neg.f64 (sqrt.f64 (*.f64 a c))) (sqrt.f64 #s(literal -1 binary64)))
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(fma.f64 b_2 b_2 (fma.f64 a (neg.f64 c) (*.f64 #s(literal 0 binary64) (*.f64 a c))))
(fma.f64 #s(literal 1 binary64) (*.f64 c (neg.f64 a)) (pow.f64 b_2 #s(literal 2 binary64)))
(-.f64 (pow.f64 b_2 #s(literal 2 binary64)) (*.f64 a c))
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(fma.f64 b_2 b_2 (fma.f64 a (neg.f64 c) (fma.f64 a (neg.f64 c) (*.f64 a c))))
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(fma.f64 (pow.f64 (cbrt.f64 b_2) #s(literal 2 binary64)) (cbrt.f64 (pow.f64 b_2 #s(literal 4 binary64))) (*.f64 c (neg.f64 a)))
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(-.f64 (*.f64 (pow.f64 (cbrt.f64 b_2) #s(literal 2 binary64)) (cbrt.f64 (pow.f64 b_2 #s(literal 4 binary64)))) (*.f64 a c))
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(fma.f64 (+.f64 (sqrt.f64 (*.f64 a c)) b_2) (-.f64 b_2 (sqrt.f64 (*.f64 a c))) (*.f64 #s(literal 2 binary64) (fma.f64 a (neg.f64 c) (*.f64 a c))))
(fma.f64 (+.f64 (sqrt.f64 (*.f64 a c)) b_2) (-.f64 b_2 (sqrt.f64 (*.f64 a c))) (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 0 binary64) (*.f64 a c))))
(fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (*.f64 a c)) #s(literal 2 binary64))) (cbrt.f64 (*.f64 a c)) (pow.f64 b_2 #s(literal 2 binary64)))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 a c)) #s(literal 2 binary64)) (neg.f64 (cbrt.f64 (*.f64 a c))) (pow.f64 b_2 #s(literal 2 binary64)))
(fma.f64 (*.f64 (neg.f64 a) #s(literal 1 binary64)) c (pow.f64 b_2 #s(literal 2 binary64)))
(-.f64 (pow.f64 b_2 #s(literal 2 binary64)) (*.f64 a c))
(fma.f64 (*.f64 (neg.f64 a) (pow.f64 (cbrt.f64 c) #s(literal 2 binary64))) (cbrt.f64 c) (pow.f64 b_2 #s(literal 2 binary64)))
(fma.f64 (*.f64 a (neg.f64 (pow.f64 (cbrt.f64 c) #s(literal 2 binary64)))) (cbrt.f64 c) (pow.f64 b_2 #s(literal 2 binary64)))
(fma.f64 (*.f64 (neg.f64 a) (sqrt.f64 c)) (sqrt.f64 c) (pow.f64 b_2 #s(literal 2 binary64)))
(fma.f64 (*.f64 a (neg.f64 (sqrt.f64 c))) (sqrt.f64 c) (pow.f64 b_2 #s(literal 2 binary64)))
(fma.f64 (*.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 c (neg.f64 a)))) (cbrt.f64 (-.f64 (pow.f64 b_2 #s(literal 2 binary64)) (*.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 (cbrt.f64 (-.f64 (pow.f64 b_2 #s(literal 2 binary64)) (*.f64 a c))) (*.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 c (neg.f64 a)))) (cbrt.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 c (neg.f64 a)))))) (fma.f64 a (neg.f64 c) (*.f64 a c)))
(fma.f64 (cbrt.f64 (-.f64 (pow.f64 b_2 #s(literal 2 binary64)) (*.f64 a c))) (pow.f64 (cbrt.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 c (neg.f64 a))))) #s(literal 4 binary64)) (*.f64 #s(literal 0 binary64) (*.f64 a c)))
(fma.f64 (*.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 c (neg.f64 a)))) (cbrt.f64 (-.f64 (pow.f64 b_2 #s(literal 2 binary64)) (*.f64 a c)))) (cbrt.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 c (neg.f64 a))))) (fma.f64 (*.f64 c (neg.f64 a)) #s(literal 1 binary64) (*.f64 a c)))
(fma.f64 (cbrt.f64 (-.f64 (pow.f64 b_2 #s(literal 2 binary64)) (*.f64 a c))) (*.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 c (neg.f64 a)))) (cbrt.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 c (neg.f64 a)))))) (fma.f64 a (neg.f64 c) (*.f64 a c)))
(fma.f64 (cbrt.f64 (-.f64 (pow.f64 b_2 #s(literal 2 binary64)) (*.f64 a c))) (pow.f64 (cbrt.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 c (neg.f64 a))))) #s(literal 4 binary64)) (*.f64 #s(literal 0 binary64) (*.f64 a c)))
(fma.f64 (*.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 c (neg.f64 a)))) (cbrt.f64 (-.f64 (pow.f64 b_2 #s(literal 2 binary64)) (*.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)) #s(literal 2 binary64)) (*.f64 a c)))
(fma.f64 (cbrt.f64 (-.f64 (pow.f64 b_2 #s(literal 2 binary64)) (*.f64 a c))) (*.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 c (neg.f64 a)))) (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)) #s(literal 2 binary64)) (*.f64 a c)))
(fma.f64 (cbrt.f64 (-.f64 (pow.f64 b_2 #s(literal 2 binary64)) (*.f64 a c))) (pow.f64 (cbrt.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 c (neg.f64 a))))) #s(literal 4 binary64)) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 a c))) (pow.f64 (cbrt.f64 (*.f64 a c)) #s(literal 2 binary64)) (*.f64 a c)))
(fma.f64 (*.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 c (neg.f64 a)))) (cbrt.f64 (-.f64 (pow.f64 b_2 #s(literal 2 binary64)) (*.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)) #s(literal 1 binary64)))
(fma.f64 (cbrt.f64 (-.f64 (pow.f64 b_2 #s(literal 2 binary64)) (*.f64 a c))) (*.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 c (neg.f64 a)))) (cbrt.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 c (neg.f64 a)))))) (fma.f64 a (neg.f64 c) (*.f64 a c)))
(fma.f64 (cbrt.f64 (-.f64 (pow.f64 b_2 #s(literal 2 binary64)) (*.f64 a c))) (pow.f64 (cbrt.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 c (neg.f64 a))))) #s(literal 4 binary64)) (*.f64 #s(literal 0 binary64) (*.f64 a c)))
(fma.f64 (*.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 c (neg.f64 a)))) (cbrt.f64 (-.f64 (pow.f64 b_2 #s(literal 2 binary64)) (*.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 (cbrt.f64 (-.f64 (pow.f64 b_2 #s(literal 2 binary64)) (*.f64 a c))) (*.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 c (neg.f64 a)))) (cbrt.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 c (neg.f64 a)))))) (*.f64 #s(literal 2 binary64) (fma.f64 a (neg.f64 c) (*.f64 a c))))
(fma.f64 (cbrt.f64 (-.f64 (pow.f64 b_2 #s(literal 2 binary64)) (*.f64 a c))) (pow.f64 (cbrt.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 c (neg.f64 a))))) #s(literal 4 binary64)) (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 0 binary64) (*.f64 a c))))
(fma.f64 (*.f64 b_2 (pow.f64 (cbrt.f64 b_2) #s(literal 2 binary64))) (cbrt.f64 b_2) (*.f64 c (neg.f64 a)))
(fma.f64 (pow.f64 (cbrt.f64 b_2) #s(literal 2 binary64)) (*.f64 b_2 (cbrt.f64 b_2)) (*.f64 c (neg.f64 a)))
(fma.f64 (*.f64 b_2 (pow.f64 (cbrt.f64 b_2) #s(literal 2 binary64))) (cbrt.f64 b_2) (*.f64 (*.f64 c (neg.f64 a)) #s(literal 1 binary64)))
(fma.f64 (pow.f64 (cbrt.f64 b_2) #s(literal 2 binary64)) (*.f64 b_2 (cbrt.f64 b_2)) (*.f64 c (neg.f64 a)))
(fma.f64 (*.f64 b_2 (pow.f64 (cbrt.f64 b_2) #s(literal 2 binary64))) (cbrt.f64 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) #s(literal 2 binary64)) (*.f64 b_2 (cbrt.f64 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) #s(literal 2 binary64)) (*.f64 b_2 (cbrt.f64 b_2)) (fma.f64 a (neg.f64 c) (*.f64 #s(literal 0 binary64) (*.f64 a c))))
(fma.f64 (*.f64 b_2 (pow.f64 (cbrt.f64 b_2) #s(literal 2 binary64))) (cbrt.f64 b_2) (neg.f64 (-.f64 (*.f64 a c) (fma.f64 a (neg.f64 c) (*.f64 a c)))))
(fma.f64 (pow.f64 (cbrt.f64 b_2) #s(literal 2 binary64)) (*.f64 b_2 (cbrt.f64 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) #s(literal 2 binary64)) (*.f64 b_2 (cbrt.f64 b_2)) (fma.f64 a (neg.f64 c) (*.f64 #s(literal 0 binary64) (*.f64 a c))))

eval282.0ms (3.2%)

Compiler

Compiled 18866 to 9598 computations (49.1% saved)

prune147.0ms (1.6%)

Pruning

18 alts after pruning (17 fresh and 1 done)

PrunedKeptTotal
New67717694
Fresh000
Picked011
Done000
Total67718695
Accuracy
92.2%
Counts
695 → 18
Alt Table
Click to see full alt table
StatusAccuracyProgram
47.7%
(fma.f64 (pow.f64 (-.f64 (pow.f64 b_2 #s(literal 2 binary64)) (*.f64 a c)) #s(literal 1/4 binary64)) (/.f64 (pow.f64 (-.f64 (pow.f64 b_2 #s(literal 2 binary64)) (*.f64 a c)) #s(literal 1/4 binary64)) a) (/.f64 b_2 (neg.f64 a)))
50.3%
(pow.f64 (cbrt.f64 (/.f64 (-.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 c (neg.f64 a)))) b_2) a)) #s(literal 3 binary64))
27.3%
(/.f64 (/.f64 (-.f64 (-.f64 (pow.f64 b_2 #s(literal 2 binary64)) (*.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)
26.5%
(/.f64 (/.f64 (*.f64 (*.f64 c #s(literal -1/2 binary64)) a) b_2) a)
49.5%
(/.f64 (-.f64 (pow.f64 (pow.f64 (-.f64 (pow.f64 b_2 #s(literal 2 binary64)) (*.f64 a c)) #s(literal 1/4 binary64)) #s(literal 2 binary64)) b_2) a)
51.1%
(/.f64 (-.f64 (hypot.f64 (sqrt.f64 (*.f64 c (neg.f64 a))) b_2) b_2) a)
32.8%
(/.f64 (-.f64 (*.f64 (neg.f64 b_2) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 a (/.f64 c (pow.f64 b_2 #s(literal 2 binary64))))))) b_2) a)
49.5%
(/.f64 (-.f64 (sqrt.f64 (-.f64 (pow.f64 b_2 #s(literal 2 binary64)) (-.f64 (*.f64 a c) (*.f64 #s(literal 2 binary64) (fma.f64 a (neg.f64 c) (*.f64 a c)))))) b_2) a)
49.8%
(/.f64 (-.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) b_2) a)
35.2%
(/.f64 (-.f64 (sqrt.f64 (*.f64 c (neg.f64 a))) b_2) a)
43.0%
(/.f64 (-.f64 (exp.f64 (log.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 c (neg.f64 a)))))) b_2) a)
11.4%
(/.f64 (-.f64 b_2 b_2) a)
36.3%
(/.f64 (*.f64 c #s(literal -1/2 binary64)) b_2)
33.4%
(/.f64 (*.f64 b_2 #s(literal -2 binary64)) a)
51.1%
(/.f64 #s(literal 1 binary64) (/.f64 a (-.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 c (neg.f64 a)))) b_2)))
51.0%
(*.f64 (/.f64 #s(literal 1 binary64) a) (-.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 c (neg.f64 a)))) b_2))
32.7%
(*.f64 c (-.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 a c) (pow.f64 b_2 #s(literal 3 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) b_2))))
32.7%
(*.f64 #s(literal -1 binary64) (*.f64 b_2 (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 c (pow.f64 b_2 #s(literal 2 binary64)))) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) a)))))
Compiler

Compiled 591 to 401 computations (32.1% saved)

localize374.0ms (4.2%)

Localize:

Found 15 expressions with local error:

NewAccuracyProgram
89.6%
(-.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 c (neg.f64 a)))) (neg.f64 b_2))
86.0%
(/.f64 (-.f64 (-.f64 (pow.f64 b_2 #s(literal 2 binary64)) (*.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)))
82.7%
(sqrt.f64 (*.f64 c (neg.f64 a)))
74.1%
(-.f64 (-.f64 (pow.f64 b_2 #s(literal 2 binary64)) (*.f64 a c)) (*.f64 (neg.f64 b_2) (neg.f64 b_2)))
100.0%
(hypot.f64 b_2 (sqrt.f64 (*.f64 c (neg.f64 a))))
94.3%
(*.f64 (/.f64 #s(literal 1 binary64) a) (-.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 c (neg.f64 a)))) b_2))
91.4%
(-.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 c (neg.f64 a)))) b_2)
82.7%
(sqrt.f64 (*.f64 c (neg.f64 a)))
100.0%
(-.f64 (sqrt.f64 (*.f64 c (neg.f64 a))) b_2)
99.9%
(/.f64 (-.f64 (sqrt.f64 (*.f64 c (neg.f64 a))) b_2) a)
82.7%
(sqrt.f64 (*.f64 c (neg.f64 a)))
100.0%
(hypot.f64 (sqrt.f64 (*.f64 c (neg.f64 a))) b_2)
94.4%
(/.f64 (-.f64 (hypot.f64 (sqrt.f64 (*.f64 c (neg.f64 a))) b_2) b_2) a)
91.4%
(-.f64 (hypot.f64 (sqrt.f64 (*.f64 c (neg.f64 a))) b_2) b_2)
82.7%
(sqrt.f64 (*.f64 c (neg.f64 a)))
Compiler

Compiled 248 to 51 computations (79.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 181.0ms
Operation ival-div, time spent: 36.0ms, 20.0% of total-time
Operation ival-mult, time spent: 35.0ms, 19.0% of total-time
Operation ival-sub, time spent: 33.0ms, 18.0% of total-time
Operation composed, time spent: 30.0ms, 17.0% of total-time
Operation ival-pow, time spent: 19.0ms, 10.0% of total-time
Operation ival-sqrt, time spent: 13.0ms, 7.0% of total-time
Operation ival-neg, time spent: 7.0ms, 4.0% of total-time
Operation ival-add, time spent: 5.0ms, 3.0% of total-time
Operation const, time spent: 4.0ms, 2.0% of total-time

series100.0ms (1.1%)

Counts
15 → 492
Calls
Call 1
Inputs
#<alt (sqrt.f64 (*.f64 c (neg.f64 a)))>
#<alt (-.f64 (hypot.f64 (sqrt.f64 (*.f64 c (neg.f64 a))) b_2) b_2)>
#<alt (/.f64 (-.f64 (hypot.f64 (sqrt.f64 (*.f64 c (neg.f64 a))) b_2) b_2) a)>
#<alt (hypot.f64 (sqrt.f64 (*.f64 c (neg.f64 a))) b_2)>
#<alt (sqrt.f64 (*.f64 c (neg.f64 a)))>
#<alt (/.f64 (-.f64 (sqrt.f64 (*.f64 c (neg.f64 a))) b_2) a)>
#<alt (-.f64 (sqrt.f64 (*.f64 c (neg.f64 a))) b_2)>
#<alt (sqrt.f64 (*.f64 c (neg.f64 a)))>
#<alt (-.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 c (neg.f64 a)))) b_2)>
#<alt (*.f64 (/.f64 #s(literal 1 binary64) a) (-.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 c (neg.f64 a)))) b_2))>
#<alt (hypot.f64 b_2 (sqrt.f64 (*.f64 c (neg.f64 a))))>
#<alt (-.f64 (-.f64 (pow.f64 b_2 #s(literal 2 binary64)) (*.f64 a c)) (*.f64 (neg.f64 b_2) (neg.f64 b_2)))>
#<alt (sqrt.f64 (*.f64 c (neg.f64 a)))>
#<alt (/.f64 (-.f64 (-.f64 (pow.f64 b_2 #s(literal 2 binary64)) (*.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)))>
#<alt (-.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 c (neg.f64 a)))) (neg.f64 b_2))>
Outputs
#<alt (*.f64 (sqrt.f64 (*.f64 a c)) (sqrt.f64 #s(literal -1 binary64)))>
#<alt (*.f64 (sqrt.f64 (*.f64 a c)) (sqrt.f64 #s(literal -1 binary64)))>
#<alt (*.f64 (sqrt.f64 (*.f64 a c)) (sqrt.f64 #s(literal -1 binary64)))>
#<alt (*.f64 (sqrt.f64 (*.f64 a c)) (sqrt.f64 #s(literal -1 binary64)))>
#<alt (*.f64 (sqrt.f64 (*.f64 a c)) (sqrt.f64 #s(literal -1 binary64)))>
#<alt (*.f64 (sqrt.f64 (*.f64 a c)) (sqrt.f64 #s(literal -1 binary64)))>
#<alt (*.f64 (sqrt.f64 (*.f64 a c)) (sqrt.f64 #s(literal -1 binary64)))>
#<alt (*.f64 (sqrt.f64 (*.f64 a c)) (sqrt.f64 #s(literal -1 binary64)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 (*.f64 a c)) (sqrt.f64 #s(literal -1 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 (*.f64 a c)) (sqrt.f64 #s(literal -1 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 (*.f64 a c)) (sqrt.f64 #s(literal -1 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 (*.f64 a c)) (sqrt.f64 #s(literal -1 binary64))))>
#<alt (*.f64 (sqrt.f64 (*.f64 a c)) (sqrt.f64 #s(literal -1 binary64)))>
#<alt (*.f64 (sqrt.f64 (*.f64 a c)) (sqrt.f64 #s(literal -1 binary64)))>
#<alt (*.f64 (sqrt.f64 (*.f64 a c)) (sqrt.f64 #s(literal -1 binary64)))>
#<alt (*.f64 (sqrt.f64 (*.f64 a c)) (sqrt.f64 #s(literal -1 binary64)))>
#<alt (*.f64 (sqrt.f64 (*.f64 a c)) (sqrt.f64 #s(literal -1 binary64)))>
#<alt (*.f64 (sqrt.f64 (*.f64 a c)) (sqrt.f64 #s(literal -1 binary64)))>
#<alt (*.f64 (sqrt.f64 (*.f64 a c)) (sqrt.f64 #s(literal -1 binary64)))>
#<alt (*.f64 (sqrt.f64 (*.f64 a c)) (sqrt.f64 #s(literal -1 binary64)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 (*.f64 a c)) (sqrt.f64 #s(literal -1 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 (*.f64 a c)) (sqrt.f64 #s(literal -1 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 (*.f64 a c)) (sqrt.f64 #s(literal -1 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 (*.f64 a c)) (sqrt.f64 #s(literal -1 binary64))))>
#<alt (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 a (*.f64 c (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))) b_2))>
#<alt (*.f64 c (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (pow.f64 a #s(literal 2 binary64)) (*.f64 c (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64)))) (pow.f64 b_2 #s(literal 3 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 a (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) b_2))))>
#<alt (*.f64 c (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 a (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) b_2)) (*.f64 c (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64))) (pow.f64 b_2 #s(literal 3 binary64)))) (*.f64 #s(literal 1/16 binary64) (/.f64 (*.f64 (pow.f64 a #s(literal 3 binary64)) (*.f64 c (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 6 binary64)))) (pow.f64 b_2 #s(literal 5 binary64))))))))>
#<alt (*.f64 c (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 a (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) b_2)) (*.f64 c (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64))) (pow.f64 b_2 #s(literal 3 binary64)))) (*.f64 c (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 c (+.f64 (*.f64 #s(literal 1/64 binary64) (/.f64 (*.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 8 binary64))) (pow.f64 b_2 #s(literal 6 binary64)))) (*.f64 #s(literal 1/16 binary64) (/.f64 (*.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 8 binary64))) (pow.f64 b_2 #s(literal 6 binary64)))))) b_2)) (*.f64 #s(literal 1/16 binary64) (/.f64 (*.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 6 binary64))) (pow.f64 b_2 #s(literal 5 binary64))))))))))>
#<alt (*.f64 (sqrt.f64 (*.f64 a c)) (sqrt.f64 #s(literal -1 binary64)))>
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#<alt (*.f64 #s(literal -2 binary64) (/.f64 b_2 a))>
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#<alt b_2>
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#<alt (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 (*.f64 a c)) (sqrt.f64 #s(literal -1 binary64))))>
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#<alt b_2>
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#<alt (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 (*.f64 a c)) (sqrt.f64 #s(literal -1 binary64))))>
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#<alt (*.f64 #s(literal -2 binary64) (/.f64 b_2 a))>
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#<alt (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -1 binary64)))>
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#<alt (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -1 binary64))))>
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#<alt b_2>
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#<alt (*.f64 #s(literal -1 binary64) b_2)>
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#<alt b_2>
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#<alt (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 a (*.f64 c (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))) b_2))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (pow.f64 a #s(literal 2 binary64)) (*.f64 (pow.f64 c #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64)))) (pow.f64 b_2 #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (*.f64 a (*.f64 c (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))) b_2))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (pow.f64 a #s(literal 2 binary64)) (*.f64 (pow.f64 c #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64)))) (pow.f64 b_2 #s(literal 2 binary64)))) (+.f64 (*.f64 #s(literal 1/16 binary64) (/.f64 (*.f64 (pow.f64 a #s(literal 3 binary64)) (*.f64 (pow.f64 c #s(literal 3 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 6 binary64)))) (pow.f64 b_2 #s(literal 4 binary64)))) (*.f64 #s(literal 1/2 binary64) (*.f64 a (*.f64 c (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))))) b_2))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (*.f64 #s(literal 1/64 binary64) (*.f64 (pow.f64 a #s(literal 4 binary64)) (*.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 8 binary64))))) (*.f64 #s(literal 1/16 binary64) (*.f64 (pow.f64 a #s(literal 4 binary64)) (*.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 8 binary64)))))) (pow.f64 b_2 #s(literal 6 binary64)))) (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (pow.f64 a #s(literal 2 binary64)) (*.f64 (pow.f64 c #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64)))) (pow.f64 b_2 #s(literal 2 binary64)))) (+.f64 (*.f64 #s(literal 1/16 binary64) (/.f64 (*.f64 (pow.f64 a #s(literal 3 binary64)) (*.f64 (pow.f64 c #s(literal 3 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 6 binary64)))) (pow.f64 b_2 #s(literal 4 binary64)))) (*.f64 #s(literal 1/2 binary64) (*.f64 a (*.f64 c (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))))) b_2))>
#<alt (*.f64 #s(literal 2 binary64) b_2)>
#<alt (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 a (*.f64 c (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))) b_2)) (*.f64 #s(literal 2 binary64) b_2))>
#<alt (+.f64 (*.f64 #s(literal 2 binary64) b_2) (*.f64 c (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (pow.f64 a #s(literal 2 binary64)) (*.f64 c (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64)))) (pow.f64 b_2 #s(literal 3 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 a (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) b_2)))))>
#<alt (+.f64 (*.f64 #s(literal 2 binary64) b_2) (*.f64 c (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 a (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) b_2)) (*.f64 c (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64))) (pow.f64 b_2 #s(literal 3 binary64)))) (*.f64 #s(literal 1/16 binary64) (/.f64 (*.f64 (pow.f64 a #s(literal 3 binary64)) (*.f64 c (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 6 binary64)))) (pow.f64 b_2 #s(literal 5 binary64)))))))))>
#<alt (*.f64 (sqrt.f64 (*.f64 a c)) (sqrt.f64 #s(literal -1 binary64)))>
#<alt (*.f64 c (+.f64 (*.f64 (sqrt.f64 (/.f64 a c)) (sqrt.f64 #s(literal -1 binary64))) (/.f64 b_2 c)))>
#<alt (*.f64 c (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (pow.f64 c #s(literal 3 binary64))))) (/.f64 (pow.f64 b_2 #s(literal 2 binary64)) (sqrt.f64 #s(literal -1 binary64))))) (+.f64 (*.f64 (sqrt.f64 (/.f64 a c)) (sqrt.f64 #s(literal -1 binary64))) (/.f64 b_2 c))))>
#<alt (*.f64 c (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 c #s(literal 5 binary64))))) (/.f64 (pow.f64 b_2 #s(literal 4 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64))))) (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (pow.f64 c #s(literal 3 binary64))))) (/.f64 (pow.f64 b_2 #s(literal 2 binary64)) (sqrt.f64 #s(literal -1 binary64))))) (+.f64 (*.f64 (sqrt.f64 (/.f64 a c)) (sqrt.f64 #s(literal -1 binary64))) (/.f64 b_2 c)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 (*.f64 a c)) (sqrt.f64 #s(literal -1 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 c (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 b_2 c)) (*.f64 (sqrt.f64 (/.f64 a c)) (sqrt.f64 #s(literal -1 binary64))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 c (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 b_2 (*.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a c))) (*.f64 (pow.f64 b_2 #s(literal 2 binary64)) (sqrt.f64 #s(literal -1 binary64)))))) c)) (*.f64 (sqrt.f64 (/.f64 a c)) (sqrt.f64 #s(literal -1 binary64))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 c (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 b_2 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) c))) (*.f64 (pow.f64 b_2 #s(literal 4 binary64)) (sqrt.f64 #s(literal -1 binary64))))) (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 c a)) (*.f64 (pow.f64 b_2 #s(literal 2 binary64)) (sqrt.f64 #s(literal -1 binary64)))))) c))) c)) (*.f64 (sqrt.f64 (/.f64 a c)) (sqrt.f64 #s(literal -1 binary64))))))>
#<alt (*.f64 #s(literal 2 binary64) b_2)>
#<alt (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 a (*.f64 c (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))) b_2)) (*.f64 #s(literal 2 binary64) b_2))>
#<alt (+.f64 (*.f64 #s(literal 2 binary64) b_2) (*.f64 a (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 a (*.f64 (pow.f64 c #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64)))) (pow.f64 b_2 #s(literal 3 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 c (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) b_2)))))>
#<alt (+.f64 (*.f64 #s(literal 2 binary64) b_2) (*.f64 a (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 c (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) b_2)) (*.f64 a (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (pow.f64 c #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64))) (pow.f64 b_2 #s(literal 3 binary64)))) (*.f64 #s(literal 1/16 binary64) (/.f64 (*.f64 a (*.f64 (pow.f64 c #s(literal 3 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 6 binary64)))) (pow.f64 b_2 #s(literal 5 binary64)))))))))>
#<alt (*.f64 (sqrt.f64 (*.f64 a c)) (sqrt.f64 #s(literal -1 binary64)))>
#<alt (*.f64 a (+.f64 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -1 binary64))) (/.f64 b_2 a)))>
#<alt (*.f64 a (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) c))) (/.f64 (pow.f64 b_2 #s(literal 2 binary64)) (sqrt.f64 #s(literal -1 binary64))))) (+.f64 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -1 binary64))) (/.f64 b_2 a))))>
#<alt (*.f64 a (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 5 binary64)) (pow.f64 c #s(literal 3 binary64))))) (/.f64 (pow.f64 b_2 #s(literal 4 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64))))) (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) c))) (/.f64 (pow.f64 b_2 #s(literal 2 binary64)) (sqrt.f64 #s(literal -1 binary64))))) (+.f64 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -1 binary64))) (/.f64 b_2 a)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 (*.f64 a c)) (sqrt.f64 #s(literal -1 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 a (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 b_2 a)) (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -1 binary64))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 a (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 b_2 (*.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a c))) (*.f64 (pow.f64 b_2 #s(literal 2 binary64)) (sqrt.f64 #s(literal -1 binary64)))))) a)) (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -1 binary64))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 a (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 b_2 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (pow.f64 c #s(literal 3 binary64))))) (*.f64 (pow.f64 b_2 #s(literal 4 binary64)) (sqrt.f64 #s(literal -1 binary64))))) (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 a c)) (*.f64 (pow.f64 b_2 #s(literal 2 binary64)) (sqrt.f64 #s(literal -1 binary64)))))) a))) a)) (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -1 binary64))))))>
Calls

123 calls:

TimeVariablePointExpression
5.0ms
a
@-inf
(sqrt (* c (neg a)))
3.0ms
b_2
@0
(/ (- (sqrt (* c (neg a))) b_2) a)
3.0ms
b_2
@inf
(/ (- (- (pow b_2 2) (* a c)) (* (neg b_2) (neg b_2))) (- (sqrt (+ (* b_2 b_2) (* (sqrt (* c (neg a))) (sqrt (* c (neg a)))))) (neg b_2)))
3.0ms
b_2
@inf
(/ (- (sqrt (+ (* (sqrt (* c (neg a))) (sqrt (* c (neg a)))) (* b_2 b_2))) b_2) a)
3.0ms
b_2
@0
(- (sqrt (+ (* b_2 b_2) (* (sqrt (* c (neg a))) (sqrt (* c (neg a)))))) (neg b_2))

rewrite221.0ms (2.5%)

Algorithm
batch-egg-rewrite
Rules
406×associate-*r*
256×log1p-expm1-u
256×expm1-log1p-u
252×add-cube-cbrt
250×add-exp-log
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
032508
1586447
Stop Event
node limit
Counts
15 → 635
Calls
Call 1
Inputs
(sqrt.f64 (*.f64 c (neg.f64 a)))
(-.f64 (hypot.f64 (sqrt.f64 (*.f64 c (neg.f64 a))) b_2) b_2)
(/.f64 (-.f64 (hypot.f64 (sqrt.f64 (*.f64 c (neg.f64 a))) b_2) b_2) a)
(hypot.f64 (sqrt.f64 (*.f64 c (neg.f64 a))) b_2)
(sqrt.f64 (*.f64 c (neg.f64 a)))
(/.f64 (-.f64 (sqrt.f64 (*.f64 c (neg.f64 a))) b_2) a)
(-.f64 (sqrt.f64 (*.f64 c (neg.f64 a))) b_2)
(sqrt.f64 (*.f64 c (neg.f64 a)))
(-.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 c (neg.f64 a)))) b_2)
(*.f64 (/.f64 #s(literal 1 binary64) a) (-.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 c (neg.f64 a)))) b_2))
(hypot.f64 b_2 (sqrt.f64 (*.f64 c (neg.f64 a))))
(-.f64 (-.f64 (pow.f64 b_2 #s(literal 2 binary64)) (*.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 #s(literal 2 binary64)) (*.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)))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 c a)))
(*.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) #s(literal 1/4 binary64)) (pow.f64 (*.f64 c a) #s(literal 1/4 binary64)))
(*.f64 (sqrt.f64 a) (sqrt.f64 c))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/2 binary64)) (sqrt.f64 (*.f64 c a)))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (*.f64 c a) #s(literal 2 binary64))) #s(literal 1/2 binary64)) (pow.f64 (cbrt.f64 (*.f64 c a)) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (*.f64 c a) #s(literal 2 binary64)))) (sqrt.f64 (cbrt.f64 (*.f64 c a))))
(pow.f64 (*.f64 c a) #s(literal 1/2 binary64))
(pow.f64 (sqrt.f64 (*.f64 c a)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (sqrt.f64 (*.f64 c a))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 c a) #s(literal 3/2 binary64)) #s(literal 1/3 binary64))
(pow.f64 (pow.f64 (*.f64 c a) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(fabs.f64 (sqrt.f64 (*.f64 c a)))
(log.f64 (exp.f64 (sqrt.f64 (*.f64 c a))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (sqrt.f64 (*.f64 c a)))))
(cbrt.f64 (pow.f64 (*.f64 c a) #s(literal 3/2 binary64)))
(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)) #s(literal 1/2 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 c a))) #s(literal 1 binary64)))
(+.f64 (+.f64 (+.f64 (sqrt.f64 (*.f64 c a)) b_2) b_2) (fma.f64 (neg.f64 (cbrt.f64 b_2)) (pow.f64 (cbrt.f64 b_2) #s(literal 2 binary64)) b_2))
(+.f64 (+.f64 (+.f64 (sqrt.f64 (*.f64 c a)) b_2) b_2) (fma.f64 (neg.f64 (sqrt.f64 b_2)) (sqrt.f64 b_2) b_2))
(+.f64 (+.f64 (sqrt.f64 (*.f64 c a)) b_2) b_2)
(+.f64 (fma.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (*.f64 c a)) b_2) (neg.f64 (*.f64 b_2 #s(literal 1 binary64)))) (fma.f64 b_2 #s(literal 1 binary64) (*.f64 b_2 #s(literal 1 binary64))))
(+.f64 (fma.f64 (cbrt.f64 (fma.f64 c a (pow.f64 b_2 #s(literal 2 binary64)))) (cbrt.f64 (+.f64 (sqrt.f64 (*.f64 c a)) b_2)) (neg.f64 (*.f64 b_2 #s(literal 1 binary64)))) (fma.f64 b_2 #s(literal 1 binary64) (*.f64 b_2 #s(literal 1 binary64))))
(+.f64 (fma.f64 (sqrt.f64 (+.f64 (sqrt.f64 (*.f64 c a)) b_2)) (sqrt.f64 (+.f64 (sqrt.f64 (*.f64 c a)) b_2)) (neg.f64 (*.f64 b_2 #s(literal 1 binary64)))) (fma.f64 b_2 #s(literal 1 binary64) (*.f64 b_2 #s(literal 1 binary64))))
(+.f64 (*.f64 (+.f64 (sqrt.f64 (*.f64 c a)) b_2) #s(literal 1 binary64)) (*.f64 b_2 #s(literal 1 binary64)))
(*.f64 #s(literal 1 binary64) (+.f64 (+.f64 (sqrt.f64 (*.f64 c a)) b_2) b_2))
(*.f64 #s(literal -1 binary64) (+.f64 (+.f64 (sqrt.f64 (*.f64 c a)) b_2) b_2))
(*.f64 (cbrt.f64 (+.f64 (+.f64 (sqrt.f64 (*.f64 c a)) b_2) b_2)) (cbrt.f64 (+.f64 (fma.f64 c a (pow.f64 b_2 #s(literal 2 binary64))) (pow.f64 b_2 #s(literal 2 binary64)))))
(*.f64 (cbrt.f64 (+.f64 (fma.f64 c a (pow.f64 b_2 #s(literal 2 binary64))) (pow.f64 b_2 #s(literal 2 binary64)))) (cbrt.f64 (+.f64 (+.f64 (sqrt.f64 (*.f64 c a)) b_2) b_2)))
(*.f64 (cbrt.f64 (+.f64 (fma.f64 c a (pow.f64 b_2 #s(literal 2 binary64))) (pow.f64 b_2 #s(literal 2 binary64)))) (neg.f64 (cbrt.f64 (+.f64 (+.f64 (sqrt.f64 (*.f64 c a)) b_2) b_2))))
(*.f64 (sqrt.f64 (+.f64 (+.f64 (sqrt.f64 (*.f64 c a)) b_2) b_2)) (sqrt.f64 (+.f64 (+.f64 (sqrt.f64 (*.f64 c a)) b_2) b_2)))
(*.f64 (sqrt.f64 (+.f64 (+.f64 (sqrt.f64 (*.f64 c a)) b_2) b_2)) (neg.f64 (sqrt.f64 (+.f64 (+.f64 (sqrt.f64 (*.f64 c a)) b_2) b_2))))
(*.f64 (+.f64 (pow.f64 (fma.f64 c a (pow.f64 b_2 #s(literal 2 binary64))) #s(literal 3/2 binary64)) (pow.f64 b_2 #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 c a (pow.f64 b_2 #s(literal 2 binary64))) (*.f64 b_2 (+.f64 b_2 (+.f64 (sqrt.f64 (*.f64 c a)) b_2))))))
(*.f64 (+.f64 (fma.f64 c a (pow.f64 b_2 #s(literal 2 binary64))) (pow.f64 b_2 #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (+.f64 (sqrt.f64 (*.f64 c a)) b_2) b_2)))
(*.f64 (+.f64 (sqrt.f64 (+.f64 (sqrt.f64 (*.f64 c a)) b_2)) (sqrt.f64 b_2)) (-.f64 (sqrt.f64 (+.f64 (sqrt.f64 (*.f64 c a)) b_2)) (sqrt.f64 b_2)))
(*.f64 (neg.f64 (cbrt.f64 (+.f64 (fma.f64 c a (pow.f64 b_2 #s(literal 2 binary64))) (pow.f64 b_2 #s(literal 2 binary64))))) (cbrt.f64 (+.f64 (+.f64 (sqrt.f64 (*.f64 c a)) b_2) b_2)))
(*.f64 (neg.f64 (sqrt.f64 (+.f64 (+.f64 (sqrt.f64 (*.f64 c a)) b_2) b_2))) (sqrt.f64 (+.f64 (+.f64 (sqrt.f64 (*.f64 c a)) b_2) b_2)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (fma.f64 c a (pow.f64 b_2 #s(literal 2 binary64))) (*.f64 b_2 (+.f64 b_2 (+.f64 (sqrt.f64 (*.f64 c a)) b_2)))) (+.f64 (pow.f64 (fma.f64 c a (pow.f64 b_2 #s(literal 2 binary64))) #s(literal 3/2 binary64)) (pow.f64 b_2 #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (+.f64 (sqrt.f64 (*.f64 c a)) b_2) b_2) (+.f64 (fma.f64 c a (pow.f64 b_2 #s(literal 2 binary64))) (pow.f64 b_2 #s(literal 2 binary64)))))
(/.f64 (+.f64 (pow.f64 (fma.f64 c a (pow.f64 b_2 #s(literal 2 binary64))) #s(literal 3/2 binary64)) (pow.f64 b_2 #s(literal 3 binary64))) (+.f64 (fma.f64 c a (pow.f64 b_2 #s(literal 2 binary64))) (*.f64 b_2 (+.f64 b_2 (+.f64 (sqrt.f64 (*.f64 c a)) b_2)))))
(/.f64 (+.f64 (pow.f64 (fma.f64 c a (pow.f64 b_2 #s(literal 2 binary64))) #s(literal 3/2 binary64)) (pow.f64 b_2 #s(literal 3 binary64))) (neg.f64 (+.f64 (fma.f64 c a (pow.f64 b_2 #s(literal 2 binary64))) (*.f64 b_2 (+.f64 b_2 (+.f64 (sqrt.f64 (*.f64 c a)) b_2))))))
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(/.f64 (+.f64 (pow.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 c a))) #s(literal 3 binary64)) (pow.f64 b_2 #s(literal 3 binary64))) (+.f64 (fma.f64 b_2 b_2 (*.f64 c a)) (-.f64 (pow.f64 b_2 #s(literal 2 binary64)) (*.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 c a))) b_2))))
(/.f64 (sqrt.f64 (+.f64 (pow.f64 (fma.f64 b_2 b_2 (*.f64 c a)) #s(literal 3 binary64)) (pow.f64 b_2 #s(literal 6 binary64)))) (sqrt.f64 (+.f64 (pow.f64 (fma.f64 b_2 b_2 (fma.f64 c a (pow.f64 b_2 #s(literal 2 binary64)))) #s(literal 2 binary64)) (*.f64 (fma.f64 b_2 b_2 (*.f64 c a)) (pow.f64 b_2 #s(literal 2 binary64))))))
(/.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 #s(literal 2 binary64)))) (fma.f64 b_2 b_2 (fma.f64 c a (pow.f64 b_2 #s(literal 2 binary64)))))
(/.f64 (*.f64 (+.f64 (pow.f64 (fma.f64 b_2 b_2 (*.f64 c a)) #s(literal 3 binary64)) (pow.f64 b_2 #s(literal 6 binary64))) #s(literal 1 binary64)) (*.f64 (+.f64 (pow.f64 (fma.f64 b_2 b_2 (fma.f64 c a (pow.f64 b_2 #s(literal 2 binary64)))) #s(literal 2 binary64)) (*.f64 (fma.f64 b_2 b_2 (*.f64 c a)) (pow.f64 b_2 #s(literal 2 binary64)))) (+.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))) #s(literal 3 binary64)) (pow.f64 b_2 #s(literal 3 binary64)))) (+.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 (pow.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 c a))) #s(literal 3 binary64)) (pow.f64 b_2 #s(literal 3 binary64)))) (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 (-.f64 (pow.f64 (/.f64 (fma.f64 b_2 b_2 (*.f64 c a)) (+.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 c a))) b_2)) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 b_2 #s(literal 2 binary64)) (+.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 c a))) b_2)) #s(literal 3 binary64))) (+.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 (fma.f64 b_2 b_2 (*.f64 c a)) (+.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 c a))) b_2))) (+.f64 (*.f64 (/.f64 (pow.f64 b_2 #s(literal 2 binary64)) (+.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 c a))) b_2)) (/.f64 (pow.f64 b_2 #s(literal 2 binary64)) (+.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 #s(literal 2 binary64)) (+.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 c a))) b_2))))))
(/.f64 (-.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 (fma.f64 b_2 b_2 (*.f64 c a)) (+.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 c a))) b_2))) (*.f64 (/.f64 (pow.f64 b_2 #s(literal 2 binary64)) (+.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 c a))) b_2)) (/.f64 (pow.f64 b_2 #s(literal 2 binary64)) (+.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 (pow.f64 (fma.f64 b_2 b_2 (fma.f64 c a (pow.f64 b_2 #s(literal 2 binary64)))) #s(literal 2 binary64)) #s(literal 1 binary64)) (pow.f64 (+.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 c a))) b_2) #s(literal 3 binary64)))
(pow.f64 (fma.f64 b_2 b_2 (fma.f64 c a (pow.f64 b_2 #s(literal 2 binary64)))) #s(literal 1/2 binary64))
(pow.f64 (+.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 c a))) b_2) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (+.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 c a))) b_2)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (+.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 c a))) b_2) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (+.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 c a))) b_2)) #s(literal 2 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 c a))) b_2)) #s(literal -1 binary64))
(neg.f64 (+.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 c a))) b_2))
(sqrt.f64 (fma.f64 b_2 b_2 (fma.f64 c a (pow.f64 b_2 #s(literal 2 binary64)))))
(fabs.f64 (+.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 c a))) b_2))
(log.f64 (exp.f64 (+.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 c a))) b_2)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (+.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 c a))) b_2))))
(log.f64 (/.f64 #s(literal 1 binary64) (exp.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) #s(literal 3 binary64)))
(cbrt.f64 (/.f64 (pow.f64 (fma.f64 b_2 b_2 (fma.f64 c a (pow.f64 b_2 #s(literal 2 binary64)))) #s(literal 3 binary64)) (pow.f64 (+.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 c a))) b_2) #s(literal 3 binary64))))
(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)) #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) (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)

simplify558.0ms (6.3%)

Algorithm
egg-herbie
Rules
1734×times-frac
1088×*-commutative
508×+-commutative
454×distribute-rgt-neg-in
354×fma-define
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0159475238
1464872830
Stop Event
node limit
Counts
1127 → 974
Calls
Call 1
Inputs
(*.f64 (sqrt.f64 (*.f64 a c)) (sqrt.f64 #s(literal -1 binary64)))
(*.f64 (sqrt.f64 (*.f64 a c)) (sqrt.f64 #s(literal -1 binary64)))
(*.f64 (sqrt.f64 (*.f64 a c)) (sqrt.f64 #s(literal -1 binary64)))
(*.f64 (sqrt.f64 (*.f64 a c)) (sqrt.f64 #s(literal -1 binary64)))
(*.f64 (sqrt.f64 (*.f64 a c)) (sqrt.f64 #s(literal -1 binary64)))
(*.f64 (sqrt.f64 (*.f64 a c)) (sqrt.f64 #s(literal -1 binary64)))
(*.f64 (sqrt.f64 (*.f64 a c)) (sqrt.f64 #s(literal -1 binary64)))
(*.f64 (sqrt.f64 (*.f64 a c)) (sqrt.f64 #s(literal -1 binary64)))
(*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 (*.f64 a c)) (sqrt.f64 #s(literal -1 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 (*.f64 a c)) (sqrt.f64 #s(literal -1 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 (*.f64 a c)) (sqrt.f64 #s(literal -1 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 (*.f64 a c)) (sqrt.f64 #s(literal -1 binary64))))
(*.f64 (sqrt.f64 (*.f64 a c)) (sqrt.f64 #s(literal -1 binary64)))
(*.f64 (sqrt.f64 (*.f64 a c)) (sqrt.f64 #s(literal -1 binary64)))
(*.f64 (sqrt.f64 (*.f64 a c)) (sqrt.f64 #s(literal -1 binary64)))
(*.f64 (sqrt.f64 (*.f64 a c)) (sqrt.f64 #s(literal -1 binary64)))
(*.f64 (sqrt.f64 (*.f64 a c)) (sqrt.f64 #s(literal -1 binary64)))
(*.f64 (sqrt.f64 (*.f64 a c)) (sqrt.f64 #s(literal -1 binary64)))
(*.f64 (sqrt.f64 (*.f64 a c)) (sqrt.f64 #s(literal -1 binary64)))
(*.f64 (sqrt.f64 (*.f64 a c)) (sqrt.f64 #s(literal -1 binary64)))
(*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 (*.f64 a c)) (sqrt.f64 #s(literal -1 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 (*.f64 a c)) (sqrt.f64 #s(literal -1 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 (*.f64 a c)) (sqrt.f64 #s(literal -1 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 (*.f64 a c)) (sqrt.f64 #s(literal -1 binary64))))
(*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 a (*.f64 c (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))) b_2))
(*.f64 c (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (pow.f64 a #s(literal 2 binary64)) (*.f64 c (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64)))) (pow.f64 b_2 #s(literal 3 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 a (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) b_2))))
(*.f64 c (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 a (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) b_2)) (*.f64 c (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64))) (pow.f64 b_2 #s(literal 3 binary64)))) (*.f64 #s(literal 1/16 binary64) (/.f64 (*.f64 (pow.f64 a #s(literal 3 binary64)) (*.f64 c (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 6 binary64)))) (pow.f64 b_2 #s(literal 5 binary64))))))))
(*.f64 c (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 a (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) b_2)) (*.f64 c (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64))) (pow.f64 b_2 #s(literal 3 binary64)))) (*.f64 c (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 c (+.f64 (*.f64 #s(literal 1/64 binary64) (/.f64 (*.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 8 binary64))) (pow.f64 b_2 #s(literal 6 binary64)))) (*.f64 #s(literal 1/16 binary64) (/.f64 (*.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 8 binary64))) (pow.f64 b_2 #s(literal 6 binary64)))))) b_2)) (*.f64 #s(literal 1/16 binary64) (/.f64 (*.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 6 binary64))) (pow.f64 b_2 #s(literal 5 binary64))))))))))
(*.f64 (sqrt.f64 (*.f64 a c)) (sqrt.f64 #s(literal -1 binary64)))
(*.f64 c (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 b_2 c)) (*.f64 (sqrt.f64 (/.f64 a c)) (sqrt.f64 #s(literal -1 binary64)))))
(*.f64 c (-.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (pow.f64 c #s(literal 3 binary64))))) (/.f64 (pow.f64 b_2 #s(literal 2 binary64)) (sqrt.f64 #s(literal -1 binary64))))) (*.f64 (sqrt.f64 (/.f64 a c)) (sqrt.f64 #s(literal -1 binary64)))) (/.f64 b_2 c)))
(*.f64 c (-.f64 (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 c #s(literal 5 binary64))))) (/.f64 (pow.f64 b_2 #s(literal 4 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64))))) (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (pow.f64 c #s(literal 3 binary64))))) (/.f64 (pow.f64 b_2 #s(literal 2 binary64)) (sqrt.f64 #s(literal -1 binary64))))) (*.f64 (sqrt.f64 (/.f64 a c)) (sqrt.f64 #s(literal -1 binary64))))) (/.f64 b_2 c)))
(*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 (*.f64 a c)) (sqrt.f64 #s(literal -1 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 c (+.f64 (*.f64 (sqrt.f64 (/.f64 a c)) (sqrt.f64 #s(literal -1 binary64))) (/.f64 b_2 c))))
(*.f64 #s(literal -1 binary64) (*.f64 c (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a c))) (*.f64 (pow.f64 b_2 #s(literal 2 binary64)) (sqrt.f64 #s(literal -1 binary64))))) b_2) c)) (*.f64 (sqrt.f64 (/.f64 a c)) (sqrt.f64 #s(literal -1 binary64))))))
(*.f64 #s(literal -1 binary64) (*.f64 c (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) c))) (*.f64 (pow.f64 b_2 #s(literal 4 binary64)) (sqrt.f64 #s(literal -1 binary64))))) (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 c a)) (*.f64 (pow.f64 b_2 #s(literal 2 binary64)) (sqrt.f64 #s(literal -1 binary64)))))) c)) b_2) c)) (*.f64 (sqrt.f64 (/.f64 a c)) (sqrt.f64 #s(literal -1 binary64))))))
(*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 a (*.f64 c (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))) b_2))
(*.f64 a (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 a (*.f64 (pow.f64 c #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64)))) (pow.f64 b_2 #s(literal 3 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 c (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) b_2))))
(*.f64 a (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 c (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) b_2)) (*.f64 a (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (pow.f64 c #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64))) (pow.f64 b_2 #s(literal 3 binary64)))) (*.f64 #s(literal 1/16 binary64) (/.f64 (*.f64 a (*.f64 (pow.f64 c #s(literal 3 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 6 binary64)))) (pow.f64 b_2 #s(literal 5 binary64))))))))
(*.f64 a (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 c (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) b_2)) (*.f64 a (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (pow.f64 c #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64))) (pow.f64 b_2 #s(literal 3 binary64)))) (*.f64 a (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 a (+.f64 (*.f64 #s(literal 1/64 binary64) (/.f64 (*.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 8 binary64))) (pow.f64 b_2 #s(literal 6 binary64)))) (*.f64 #s(literal 1/16 binary64) (/.f64 (*.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 8 binary64))) (pow.f64 b_2 #s(literal 6 binary64)))))) b_2)) (*.f64 #s(literal 1/16 binary64) (/.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 6 binary64))) (pow.f64 b_2 #s(literal 5 binary64))))))))))
(*.f64 (sqrt.f64 (*.f64 a c)) (sqrt.f64 #s(literal -1 binary64)))
(*.f64 a (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 b_2 a)) (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -1 binary64)))))
(*.f64 a (-.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) c))) (/.f64 (pow.f64 b_2 #s(literal 2 binary64)) (sqrt.f64 #s(literal -1 binary64))))) (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -1 binary64)))) (/.f64 b_2 a)))
(*.f64 a (-.f64 (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 5 binary64)) (pow.f64 c #s(literal 3 binary64))))) (/.f64 (pow.f64 b_2 #s(literal 4 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64))))) (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) c))) (/.f64 (pow.f64 b_2 #s(literal 2 binary64)) (sqrt.f64 #s(literal -1 binary64))))) (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -1 binary64))))) (/.f64 b_2 a)))
(*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 (*.f64 a c)) (sqrt.f64 #s(literal -1 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 a (+.f64 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -1 binary64))) (/.f64 b_2 a))))
(*.f64 #s(literal -1 binary64) (*.f64 a (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a c))) (*.f64 (pow.f64 b_2 #s(literal 2 binary64)) (sqrt.f64 #s(literal -1 binary64))))) b_2) a)) (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -1 binary64))))))
(*.f64 #s(literal -1 binary64) (*.f64 a (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (pow.f64 c #s(literal 3 binary64))))) (*.f64 (pow.f64 b_2 #s(literal 4 binary64)) (sqrt.f64 #s(literal -1 binary64))))) (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 a c)) (*.f64 (pow.f64 b_2 #s(literal 2 binary64)) (sqrt.f64 #s(literal -1 binary64)))))) a)) b_2) a)) (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -1 binary64))))))
(*.f64 (sqrt.f64 (*.f64 a c)) (sqrt.f64 #s(literal -1 binary64)))
(+.f64 (*.f64 #s(literal -1 binary64) b_2) (*.f64 (sqrt.f64 (*.f64 a c)) (sqrt.f64 #s(literal -1 binary64))))
(+.f64 (*.f64 b_2 (-.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a c))) (/.f64 b_2 (sqrt.f64 #s(literal -1 binary64))))) #s(literal 1 binary64))) (*.f64 (sqrt.f64 (*.f64 a c)) (sqrt.f64 #s(literal -1 binary64))))
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(*.f64 (sqrt.f64 (*.f64 a c)) (sqrt.f64 #s(literal -1 binary64)))
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b_2
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(*.f64 (sqrt.f64 (*.f64 a c)) (sqrt.f64 #s(literal -1 binary64)))
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b_2
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(*.f64 #s(literal -1 binary64) b_2)
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(*.f64 (sqrt.f64 (*.f64 a c)) (sqrt.f64 #s(literal -1 binary64)))
(*.f64 (sqrt.f64 (*.f64 a c)) (sqrt.f64 #s(literal -1 binary64)))
(*.f64 (sqrt.f64 (*.f64 a c)) (sqrt.f64 #s(literal -1 binary64)))
(*.f64 (sqrt.f64 (*.f64 a c)) (sqrt.f64 #s(literal -1 binary64)))
(*.f64 (sqrt.f64 (*.f64 a c)) (sqrt.f64 #s(literal -1 binary64)))
(*.f64 (sqrt.f64 (*.f64 a c)) (sqrt.f64 #s(literal -1 binary64)))
(*.f64 (sqrt.f64 (*.f64 a c)) (sqrt.f64 #s(literal -1 binary64)))
(*.f64 (sqrt.f64 (*.f64 a c)) (sqrt.f64 #s(literal -1 binary64)))
(*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 (*.f64 a c)) (sqrt.f64 #s(literal -1 binary64))))
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(*.f64 (sqrt.f64 (*.f64 a c)) (sqrt.f64 #s(literal -1 binary64)))
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(/.f64 (-.f64 (*.f64 (sqrt.f64 (*.f64 a c)) (sqrt.f64 #s(literal -1 binary64))) b_2) a)
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(*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -1 binary64)))
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(/.f64 (-.f64 (*.f64 (sqrt.f64 (*.f64 a c)) (sqrt.f64 #s(literal -1 binary64))) b_2) a)
(/.f64 (-.f64 (*.f64 (sqrt.f64 (*.f64 a c)) (sqrt.f64 #s(literal -1 binary64))) b_2) a)
(*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -1 binary64)))
(+.f64 (*.f64 #s(literal -1 binary64) (/.f64 b_2 a)) (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -1 binary64))))
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b_2
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(*.f64 #s(literal -1 binary64) b_2)
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b_2
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b_2
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(*.f64 (cbrt.f64 (fma.f64 b_2 b_2 (*.f64 c a))) (cbrt.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 c a)))))
(*.f64 (sqrt.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 c a)))) (sqrt.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 c a)))))
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(pow.f64 (pow.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 c a))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
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(fabs.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 c a))))
(log.f64 (exp.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 c a)))))
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(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (+.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))) #s(literal 3 binary64)) (pow.f64 b_2 #s(literal 3 binary64))) (+.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 (pow.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 c a))) #s(literal 3 binary64)) (pow.f64 b_2 #s(literal 3 binary64))) (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 (+.f64 (pow.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 c a))) #s(literal 3 binary64)) (pow.f64 b_2 #s(literal 3 binary64))) (+.f64 (fma.f64 b_2 b_2 (*.f64 c a)) (-.f64 (pow.f64 b_2 #s(literal 2 binary64)) (*.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 c a))) b_2))))
(/.f64 (sqrt.f64 (+.f64 (pow.f64 (fma.f64 b_2 b_2 (*.f64 c a)) #s(literal 3 binary64)) (pow.f64 b_2 #s(literal 6 binary64)))) (sqrt.f64 (+.f64 (pow.f64 (fma.f64 b_2 b_2 (fma.f64 c a (pow.f64 b_2 #s(literal 2 binary64)))) #s(literal 2 binary64)) (*.f64 (fma.f64 b_2 b_2 (*.f64 c a)) (pow.f64 b_2 #s(literal 2 binary64))))))
(/.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 #s(literal 2 binary64)))) (fma.f64 b_2 b_2 (fma.f64 c a (pow.f64 b_2 #s(literal 2 binary64)))))
(/.f64 (*.f64 (+.f64 (pow.f64 (fma.f64 b_2 b_2 (*.f64 c a)) #s(literal 3 binary64)) (pow.f64 b_2 #s(literal 6 binary64))) #s(literal 1 binary64)) (*.f64 (+.f64 (pow.f64 (fma.f64 b_2 b_2 (fma.f64 c a (pow.f64 b_2 #s(literal 2 binary64)))) #s(literal 2 binary64)) (*.f64 (fma.f64 b_2 b_2 (*.f64 c a)) (pow.f64 b_2 #s(literal 2 binary64)))) (+.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))) #s(literal 3 binary64)) (pow.f64 b_2 #s(literal 3 binary64)))) (+.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 (pow.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 c a))) #s(literal 3 binary64)) (pow.f64 b_2 #s(literal 3 binary64)))) (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 (-.f64 (pow.f64 (/.f64 (fma.f64 b_2 b_2 (*.f64 c a)) (+.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 c a))) b_2)) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 b_2 #s(literal 2 binary64)) (+.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 c a))) b_2)) #s(literal 3 binary64))) (+.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 (fma.f64 b_2 b_2 (*.f64 c a)) (+.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 c a))) b_2))) (+.f64 (*.f64 (/.f64 (pow.f64 b_2 #s(literal 2 binary64)) (+.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 c a))) b_2)) (/.f64 (pow.f64 b_2 #s(literal 2 binary64)) (+.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 #s(literal 2 binary64)) (+.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 c a))) b_2))))))
(/.f64 (-.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 (fma.f64 b_2 b_2 (*.f64 c a)) (+.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 c a))) b_2))) (*.f64 (/.f64 (pow.f64 b_2 #s(literal 2 binary64)) (+.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 c a))) b_2)) (/.f64 (pow.f64 b_2 #s(literal 2 binary64)) (+.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 (pow.f64 (fma.f64 b_2 b_2 (fma.f64 c a (pow.f64 b_2 #s(literal 2 binary64)))) #s(literal 2 binary64)) #s(literal 1 binary64)) (pow.f64 (+.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 c a))) b_2) #s(literal 3 binary64)))
(pow.f64 (fma.f64 b_2 b_2 (fma.f64 c a (pow.f64 b_2 #s(literal 2 binary64)))) #s(literal 1/2 binary64))
(pow.f64 (+.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 c a))) b_2) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (+.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 c a))) b_2)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (+.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 c a))) b_2) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (+.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 c a))) b_2)) #s(literal 2 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 c a))) b_2)) #s(literal -1 binary64))
(neg.f64 (+.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 c a))) b_2))
(sqrt.f64 (fma.f64 b_2 b_2 (fma.f64 c a (pow.f64 b_2 #s(literal 2 binary64)))))
(fabs.f64 (+.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 c a))) b_2))
(log.f64 (exp.f64 (+.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 c a))) b_2)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (+.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 c a))) b_2))))
(log.f64 (/.f64 #s(literal 1 binary64) (exp.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) #s(literal 3 binary64)))
(cbrt.f64 (/.f64 (pow.f64 (fma.f64 b_2 b_2 (fma.f64 c a (pow.f64 b_2 #s(literal 2 binary64)))) #s(literal 3 binary64)) (pow.f64 (+.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 c a))) b_2) #s(literal 3 binary64))))
(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)) #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) (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)
Outputs
(*.f64 (sqrt.f64 (*.f64 a c)) (sqrt.f64 #s(literal -1 binary64)))
(*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (*.f64 a c)))
(*.f64 (sqrt.f64 (*.f64 a c)) (sqrt.f64 #s(literal -1 binary64)))
(*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (*.f64 a c)))
(*.f64 (sqrt.f64 (*.f64 a c)) (sqrt.f64 #s(literal -1 binary64)))
(*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (*.f64 a c)))
(*.f64 (sqrt.f64 (*.f64 a c)) (sqrt.f64 #s(literal -1 binary64)))
(*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (*.f64 a c)))
(*.f64 (sqrt.f64 (*.f64 a c)) (sqrt.f64 #s(literal -1 binary64)))
(*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (*.f64 a c)))
(*.f64 (sqrt.f64 (*.f64 a c)) (sqrt.f64 #s(literal -1 binary64)))
(*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (*.f64 a c)))
(*.f64 (sqrt.f64 (*.f64 a c)) (sqrt.f64 #s(literal -1 binary64)))
(*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (*.f64 a c)))
(*.f64 (sqrt.f64 (*.f64 a c)) (sqrt.f64 #s(literal -1 binary64)))
(*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (*.f64 a c)))
(*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 (*.f64 a c)) (sqrt.f64 #s(literal -1 binary64))))
(*.f64 (neg.f64 (sqrt.f64 (*.f64 a c))) (sqrt.f64 #s(literal -1 binary64)))
(*.f64 (sqrt.f64 (*.f64 a c)) (neg.f64 (sqrt.f64 #s(literal -1 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 (*.f64 a c)) (sqrt.f64 #s(literal -1 binary64))))
(*.f64 (neg.f64 (sqrt.f64 (*.f64 a c))) (sqrt.f64 #s(literal -1 binary64)))
(*.f64 (sqrt.f64 (*.f64 a c)) (neg.f64 (sqrt.f64 #s(literal -1 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 (*.f64 a c)) (sqrt.f64 #s(literal -1 binary64))))
(*.f64 (neg.f64 (sqrt.f64 (*.f64 a c))) (sqrt.f64 #s(literal -1 binary64)))
(*.f64 (sqrt.f64 (*.f64 a c)) (neg.f64 (sqrt.f64 #s(literal -1 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 (*.f64 a c)) (sqrt.f64 #s(literal -1 binary64))))
(*.f64 (neg.f64 (sqrt.f64 (*.f64 a c))) (sqrt.f64 #s(literal -1 binary64)))
(*.f64 (sqrt.f64 (*.f64 a c)) (neg.f64 (sqrt.f64 #s(literal -1 binary64))))
(*.f64 (sqrt.f64 (*.f64 a c)) (sqrt.f64 #s(literal -1 binary64)))
(*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (*.f64 a c)))
(*.f64 (sqrt.f64 (*.f64 a c)) (sqrt.f64 #s(literal -1 binary64)))
(*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (*.f64 a c)))
(*.f64 (sqrt.f64 (*.f64 a c)) (sqrt.f64 #s(literal -1 binary64)))
(*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (*.f64 a c)))
(*.f64 (sqrt.f64 (*.f64 a c)) (sqrt.f64 #s(literal -1 binary64)))
(*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (*.f64 a c)))
(*.f64 (sqrt.f64 (*.f64 a c)) (sqrt.f64 #s(literal -1 binary64)))
(*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (*.f64 a c)))
(*.f64 (sqrt.f64 (*.f64 a c)) (sqrt.f64 #s(literal -1 binary64)))
(*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (*.f64 a c)))
(*.f64 (sqrt.f64 (*.f64 a c)) (sqrt.f64 #s(literal -1 binary64)))
(*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (*.f64 a c)))
(*.f64 (sqrt.f64 (*.f64 a c)) (sqrt.f64 #s(literal -1 binary64)))
(*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (*.f64 a c)))
(*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 (*.f64 a c)) (sqrt.f64 #s(literal -1 binary64))))
(*.f64 (neg.f64 (sqrt.f64 (*.f64 a c))) (sqrt.f64 #s(literal -1 binary64)))
(*.f64 (sqrt.f64 (*.f64 a c)) (neg.f64 (sqrt.f64 #s(literal -1 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 (*.f64 a c)) (sqrt.f64 #s(literal -1 binary64))))
(*.f64 (neg.f64 (sqrt.f64 (*.f64 a c))) (sqrt.f64 #s(literal -1 binary64)))
(*.f64 (sqrt.f64 (*.f64 a c)) (neg.f64 (sqrt.f64 #s(literal -1 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 (*.f64 a c)) (sqrt.f64 #s(literal -1 binary64))))
(*.f64 (neg.f64 (sqrt.f64 (*.f64 a c))) (sqrt.f64 #s(literal -1 binary64)))
(*.f64 (sqrt.f64 (*.f64 a c)) (neg.f64 (sqrt.f64 #s(literal -1 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 (*.f64 a c)) (sqrt.f64 #s(literal -1 binary64))))
(*.f64 (neg.f64 (sqrt.f64 (*.f64 a c))) (sqrt.f64 #s(literal -1 binary64)))
(*.f64 (sqrt.f64 (*.f64 a c)) (neg.f64 (sqrt.f64 #s(literal -1 binary64))))
(*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 a (*.f64 c (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))) b_2))
(*.f64 #s(literal 1/2 binary64) (*.f64 a (*.f64 c (/.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) b_2))))
(*.f64 #s(literal 1/2 binary64) (/.f64 (neg.f64 (*.f64 a c)) b_2))
(*.f64 c (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (pow.f64 a #s(literal 2 binary64)) (*.f64 c (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64)))) (pow.f64 b_2 #s(literal 3 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 a (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) b_2))))
(*.f64 c (fma.f64 #s(literal -1/8 binary64) (*.f64 (pow.f64 a #s(literal 2 binary64)) (/.f64 (*.f64 c (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64))) (pow.f64 b_2 #s(literal 3 binary64)))) (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 a (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))) b_2)))
(*.f64 c (fma.f64 #s(literal -1/8 binary64) (*.f64 (pow.f64 a #s(literal 2 binary64)) (/.f64 (*.f64 c (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64))) (pow.f64 b_2 #s(literal 3 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (neg.f64 a) b_2))))
(*.f64 c (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 a (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) b_2)) (*.f64 c (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64))) (pow.f64 b_2 #s(literal 3 binary64)))) (*.f64 #s(literal 1/16 binary64) (/.f64 (*.f64 (pow.f64 a #s(literal 3 binary64)) (*.f64 c (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 6 binary64)))) (pow.f64 b_2 #s(literal 5 binary64))))))))
(*.f64 c (fma.f64 #s(literal 1/2 binary64) (*.f64 a (/.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) b_2)) (*.f64 c (fma.f64 #s(literal -1/8 binary64) (*.f64 (pow.f64 a #s(literal 2 binary64)) (/.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64)) (pow.f64 b_2 #s(literal 3 binary64)))) (/.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 (*.f64 c (pow.f64 a #s(literal 3 binary64))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 6 binary64)))) (pow.f64 b_2 #s(literal 5 binary64)))))))
(*.f64 c (fma.f64 #s(literal 1/2 binary64) (/.f64 (neg.f64 a) b_2) (*.f64 c (fma.f64 #s(literal -1/8 binary64) (*.f64 (pow.f64 a #s(literal 2 binary64)) (/.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64)) (pow.f64 b_2 #s(literal 3 binary64)))) (/.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 (*.f64 c (pow.f64 a #s(literal 3 binary64))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 6 binary64)))) (pow.f64 b_2 #s(literal 5 binary64)))))))
(*.f64 c (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 a (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) b_2)) (*.f64 c (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64))) (pow.f64 b_2 #s(literal 3 binary64)))) (*.f64 c (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 c (+.f64 (*.f64 #s(literal 1/64 binary64) (/.f64 (*.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 8 binary64))) (pow.f64 b_2 #s(literal 6 binary64)))) (*.f64 #s(literal 1/16 binary64) (/.f64 (*.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 8 binary64))) (pow.f64 b_2 #s(literal 6 binary64)))))) b_2)) (*.f64 #s(literal 1/16 binary64) (/.f64 (*.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 6 binary64))) (pow.f64 b_2 #s(literal 5 binary64))))))))))
(*.f64 c (fma.f64 #s(literal 1/2 binary64) (*.f64 a (/.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) b_2)) (*.f64 c (fma.f64 #s(literal -1/8 binary64) (*.f64 (pow.f64 a #s(literal 2 binary64)) (/.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64)) (pow.f64 b_2 #s(literal 3 binary64)))) (*.f64 c (fma.f64 #s(literal -1/2 binary64) (*.f64 c (/.f64 (*.f64 (*.f64 (pow.f64 a #s(literal 4 binary64)) (/.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 8 binary64)) (pow.f64 b_2 #s(literal 6 binary64)))) #s(literal 5/64 binary64)) b_2)) (*.f64 #s(literal 1/16 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) (/.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 6 binary64)) (pow.f64 b_2 #s(literal 5 binary64)))))))))))
(*.f64 c (fma.f64 #s(literal 1/2 binary64) (/.f64 (neg.f64 a) b_2) (*.f64 c (fma.f64 #s(literal -1/8 binary64) (*.f64 (pow.f64 a #s(literal 2 binary64)) (/.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64)) (pow.f64 b_2 #s(literal 3 binary64)))) (*.f64 c (fma.f64 #s(literal -1/2 binary64) (*.f64 c (*.f64 (/.f64 (*.f64 (pow.f64 a #s(literal 4 binary64)) (/.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 8 binary64)) (pow.f64 b_2 #s(literal 6 binary64)))) b_2) #s(literal 5/64 binary64))) (*.f64 #s(literal 1/16 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) (/.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 6 binary64)) (pow.f64 b_2 #s(literal 5 binary64)))))))))))
(*.f64 (sqrt.f64 (*.f64 a c)) (sqrt.f64 #s(literal -1 binary64)))
(*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (*.f64 a c)))
(*.f64 c (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 b_2 c)) (*.f64 (sqrt.f64 (/.f64 a c)) (sqrt.f64 #s(literal -1 binary64)))))
(*.f64 c (fma.f64 #s(literal -1 binary64) (/.f64 b_2 c) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 a c)))))
(*.f64 c (fma.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 a c)) (/.f64 (neg.f64 b_2) c)))
(*.f64 c (-.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (pow.f64 c #s(literal 3 binary64))))) (/.f64 (pow.f64 b_2 #s(literal 2 binary64)) (sqrt.f64 #s(literal -1 binary64))))) (*.f64 (sqrt.f64 (/.f64 a c)) (sqrt.f64 #s(literal -1 binary64)))) (/.f64 b_2 c)))
(*.f64 c (-.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) a) (pow.f64 c #s(literal 3 binary64)))) (/.f64 (pow.f64 b_2 #s(literal 2 binary64)) (sqrt.f64 #s(literal -1 binary64)))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 a c)))) (/.f64 b_2 c)))
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b_2
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b_2
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b_2
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(*.f64 #s(literal -1 binary64) b_2)
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b_2
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(*.f64 #s(literal -1 binary64) b_2)
(neg.f64 b_2)
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(*.f64 (neg.f64 b_2) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/8 binary64) (*.f64 (pow.f64 a #s(literal 2 binary64)) (/.f64 (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64)) (pow.f64 c #s(literal 2 binary64))) (pow.f64 b_2 #s(literal 4 binary64)))) (fma.f64 #s(literal 1/16 binary64) (/.f64 (*.f64 (pow.f64 (*.f64 a c) #s(literal 3 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 6 binary64))) (pow.f64 b_2 #s(literal 6 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (*.f64 a c) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (pow.f64 b_2 #s(literal 2 binary64))))))))
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b_2
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(+.f64 b_2 (*.f64 #s(literal 1/2 binary64) (/.f64 (neg.f64 (*.f64 a c)) b_2)))
(+.f64 b_2 (*.f64 c (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (pow.f64 a #s(literal 2 binary64)) (*.f64 c (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64)))) (pow.f64 b_2 #s(literal 3 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 a (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) b_2)))))
(+.f64 b_2 (*.f64 c (fma.f64 #s(literal -1/8 binary64) (*.f64 (pow.f64 a #s(literal 2 binary64)) (/.f64 (*.f64 c (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64))) (pow.f64 b_2 #s(literal 3 binary64)))) (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 a (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))) b_2))))
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(*.f64 (sqrt.f64 (*.f64 a c)) (sqrt.f64 #s(literal -1 binary64)))
(*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (*.f64 a c)))
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b_2
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(*.f64 (+.f64 (sqrt.f64 b_2) (sqrt.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 a c))))) (-.f64 (sqrt.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 a c)))) (sqrt.f64 b_2)))
(*.f64 (neg.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 (neg.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 a c)))) b_2)
(*.f64 (neg.f64 (cbrt.f64 (fma.f64 b_2 b_2 (fma.f64 c a (pow.f64 b_2 #s(literal 2 binary64)))))) (cbrt.f64 (+.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 c a))) b_2)))
(*.f64 (cbrt.f64 (fma.f64 b_2 b_2 (fma.f64 c a (pow.f64 b_2 #s(literal 2 binary64))))) (neg.f64 (cbrt.f64 (+.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 a c)))))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 c a))) b_2)))
(+.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 a c))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 c a))) b_2)) #s(literal 1 binary64)))
(+.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 a c))))
(/.f64 #s(literal 1 binary64) (/.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))) #s(literal 3 binary64)) (pow.f64 b_2 #s(literal 3 binary64)))))
(/.f64 (+.f64 (pow.f64 b_2 #s(literal 3 binary64)) (pow.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 a c))) #s(literal 3 binary64))) (+.f64 (fma.f64 b_2 b_2 (*.f64 a c)) (*.f64 b_2 (+.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 a c)))))))
(/.f64 (fma.f64 b_2 b_2 (fma.f64 c a (pow.f64 b_2 #s(literal 2 binary64)))) (+.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 c a))) b_2))
(/.f64 (fma.f64 b_2 b_2 (fma.f64 c a (pow.f64 b_2 #s(literal 2 binary64)))) (+.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 a c)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 c a))) b_2))))
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 a c))))))
(/.f64 (+.f64 (pow.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 c a))) #s(literal 3 binary64)) (pow.f64 b_2 #s(literal 3 binary64))) (+.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 (pow.f64 b_2 #s(literal 3 binary64)) (pow.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 a c))) #s(literal 3 binary64))) (+.f64 (fma.f64 b_2 b_2 (*.f64 a c)) (*.f64 b_2 (+.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 a c)))))))
(/.f64 (+.f64 (pow.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 c a))) #s(literal 3 binary64)) (pow.f64 b_2 #s(literal 3 binary64))) (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 (pow.f64 b_2 #s(literal 3 binary64)) (pow.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 a c))) #s(literal 3 binary64)))) (+.f64 (fma.f64 b_2 b_2 (*.f64 a c)) (*.f64 b_2 (+.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 a c)))))))
(/.f64 (+.f64 (pow.f64 b_2 #s(literal 3 binary64)) (pow.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 a c))) #s(literal 3 binary64))) (-.f64 (neg.f64 (fma.f64 b_2 b_2 (*.f64 a c))) (*.f64 b_2 (+.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 a c)))))))
(/.f64 (+.f64 (pow.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 c a))) #s(literal 3 binary64)) (pow.f64 b_2 #s(literal 3 binary64))) (+.f64 (fma.f64 b_2 b_2 (*.f64 c a)) (-.f64 (pow.f64 b_2 #s(literal 2 binary64)) (*.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 c a))) b_2))))
(/.f64 (+.f64 (pow.f64 b_2 #s(literal 3 binary64)) (pow.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 a c))) #s(literal 3 binary64))) (+.f64 (fma.f64 b_2 b_2 (*.f64 a c)) (-.f64 (pow.f64 b_2 #s(literal 2 binary64)) (*.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 a c)))))))
(/.f64 (sqrt.f64 (+.f64 (pow.f64 (fma.f64 b_2 b_2 (*.f64 c a)) #s(literal 3 binary64)) (pow.f64 b_2 #s(literal 6 binary64)))) (sqrt.f64 (+.f64 (pow.f64 (fma.f64 b_2 b_2 (fma.f64 c a (pow.f64 b_2 #s(literal 2 binary64)))) #s(literal 2 binary64)) (*.f64 (fma.f64 b_2 b_2 (*.f64 c a)) (pow.f64 b_2 #s(literal 2 binary64))))))
(/.f64 (sqrt.f64 (+.f64 (pow.f64 b_2 #s(literal 6 binary64)) (pow.f64 (fma.f64 b_2 b_2 (*.f64 a c)) #s(literal 3 binary64)))) (sqrt.f64 (+.f64 (pow.f64 (fma.f64 b_2 b_2 (fma.f64 c a (pow.f64 b_2 #s(literal 2 binary64)))) #s(literal 2 binary64)) (*.f64 (pow.f64 b_2 #s(literal 2 binary64)) (fma.f64 b_2 b_2 (*.f64 a c))))))
(/.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 #s(literal 2 binary64)))) (fma.f64 b_2 b_2 (fma.f64 c a (pow.f64 b_2 #s(literal 2 binary64)))))
(/.f64 (-.f64 (*.f64 (+.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 a c)))) (fma.f64 b_2 b_2 (*.f64 a c))) (*.f64 (pow.f64 b_2 #s(literal 2 binary64)) (+.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 a c)))))) (fma.f64 b_2 b_2 (fma.f64 c a (pow.f64 b_2 #s(literal 2 binary64)))))
(/.f64 (*.f64 (+.f64 (pow.f64 (fma.f64 b_2 b_2 (*.f64 c a)) #s(literal 3 binary64)) (pow.f64 b_2 #s(literal 6 binary64))) #s(literal 1 binary64)) (*.f64 (+.f64 (pow.f64 (fma.f64 b_2 b_2 (fma.f64 c a (pow.f64 b_2 #s(literal 2 binary64)))) #s(literal 2 binary64)) (*.f64 (fma.f64 b_2 b_2 (*.f64 c a)) (pow.f64 b_2 #s(literal 2 binary64)))) (+.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 c a))) b_2)))
(/.f64 (+.f64 (pow.f64 b_2 #s(literal 6 binary64)) (pow.f64 (fma.f64 b_2 b_2 (*.f64 a c)) #s(literal 3 binary64))) (*.f64 (+.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 a c)))) (+.f64 (pow.f64 (fma.f64 b_2 b_2 (fma.f64 c a (pow.f64 b_2 #s(literal 2 binary64)))) #s(literal 2 binary64)) (*.f64 (pow.f64 b_2 #s(literal 2 binary64)) (fma.f64 b_2 b_2 (*.f64 a c))))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 c a))) #s(literal 3 binary64)) (pow.f64 b_2 #s(literal 3 binary64)))) (+.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 (pow.f64 b_2 #s(literal 3 binary64)) (pow.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 a c))) #s(literal 3 binary64)))) (+.f64 (fma.f64 b_2 b_2 (*.f64 a c)) (*.f64 b_2 (+.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 a c)))))))
(/.f64 (+.f64 (pow.f64 b_2 #s(literal 3 binary64)) (pow.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 a c))) #s(literal 3 binary64))) (-.f64 (neg.f64 (fma.f64 b_2 b_2 (*.f64 a c))) (*.f64 b_2 (+.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 a c)))))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 c a))) #s(literal 3 binary64)) (pow.f64 b_2 #s(literal 3 binary64)))) (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 (+.f64 (pow.f64 b_2 #s(literal 3 binary64)) (pow.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 a c))) #s(literal 3 binary64))) (+.f64 (fma.f64 b_2 b_2 (*.f64 a c)) (*.f64 b_2 (+.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 a c)))))))
(/.f64 (-.f64 (pow.f64 (/.f64 (fma.f64 b_2 b_2 (*.f64 c a)) (+.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 c a))) b_2)) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 b_2 #s(literal 2 binary64)) (+.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 c a))) b_2)) #s(literal 3 binary64))) (+.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 (fma.f64 b_2 b_2 (*.f64 c a)) (+.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 c a))) b_2))) (+.f64 (*.f64 (/.f64 (pow.f64 b_2 #s(literal 2 binary64)) (+.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 c a))) b_2)) (/.f64 (pow.f64 b_2 #s(literal 2 binary64)) (+.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 #s(literal 2 binary64)) (+.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 c a))) b_2))))))
(/.f64 (-.f64 (pow.f64 (/.f64 (fma.f64 b_2 b_2 (*.f64 a c)) (+.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 a c))))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 b_2 #s(literal 2 binary64)) (+.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 a c))))) #s(literal 3 binary64))) (fma.f64 (/.f64 (fma.f64 b_2 b_2 (*.f64 a c)) (+.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 a c))))) (/.f64 (fma.f64 b_2 b_2 (*.f64 a c)) (+.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 a c))))) (*.f64 (/.f64 (pow.f64 b_2 #s(literal 2 binary64)) (+.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 a c))))) (+.f64 (/.f64 (fma.f64 b_2 b_2 (*.f64 a c)) (+.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 a c))))) (/.f64 (pow.f64 b_2 #s(literal 2 binary64)) (+.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 a c)))))))))
(/.f64 (-.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 (fma.f64 b_2 b_2 (*.f64 c a)) (+.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 c a))) b_2))) (*.f64 (/.f64 (pow.f64 b_2 #s(literal 2 binary64)) (+.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 c a))) b_2)) (/.f64 (pow.f64 b_2 #s(literal 2 binary64)) (+.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 (*.f64 (/.f64 (fma.f64 b_2 b_2 (*.f64 a c)) (+.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 a c))))) (/.f64 (fma.f64 b_2 b_2 (*.f64 a c)) (+.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 a c)))))) (*.f64 (/.f64 (pow.f64 b_2 #s(literal 2 binary64)) (+.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 a c))))) (/.f64 (pow.f64 b_2 #s(literal 2 binary64)) (+.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 a c))))))) (+.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 a c)))))
(/.f64 (*.f64 (pow.f64 (fma.f64 b_2 b_2 (fma.f64 c a (pow.f64 b_2 #s(literal 2 binary64)))) #s(literal 2 binary64)) #s(literal 1 binary64)) (pow.f64 (+.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 c a))) b_2) #s(literal 3 binary64)))
(/.f64 (pow.f64 (fma.f64 b_2 b_2 (fma.f64 c a (pow.f64 b_2 #s(literal 2 binary64)))) #s(literal 2 binary64)) (pow.f64 (+.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 a c)))) #s(literal 3 binary64)))
(pow.f64 (fma.f64 b_2 b_2 (fma.f64 c a (pow.f64 b_2 #s(literal 2 binary64)))) #s(literal 1/2 binary64))
(sqrt.f64 (fma.f64 b_2 b_2 (fma.f64 c a (pow.f64 b_2 #s(literal 2 binary64)))))
(pow.f64 (+.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 c a))) b_2) #s(literal 1 binary64))
(+.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 a c))))
(pow.f64 (cbrt.f64 (+.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 c a))) b_2)) #s(literal 3 binary64))
(+.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 a c))))
(pow.f64 (pow.f64 (+.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 c a))) b_2) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(+.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 a c))))
(pow.f64 (sqrt.f64 (+.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 c a))) b_2)) #s(literal 2 binary64))
(+.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 a c))))
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 c a))) b_2)) #s(literal -1 binary64))
(+.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 a c))))
(neg.f64 (+.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 c a))) b_2))
(-.f64 (neg.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 a c)))) b_2)
(sqrt.f64 (fma.f64 b_2 b_2 (fma.f64 c a (pow.f64 b_2 #s(literal 2 binary64)))))
(fabs.f64 (+.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 c a))) b_2))
(+.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 a c))))
(log.f64 (exp.f64 (+.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 c a))) b_2)))
(+.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 a c))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (+.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 c a))) b_2))))
(+.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 a c))))
(log.f64 (/.f64 #s(literal 1 binary64) (exp.f64 (+.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 c a))) b_2))))
(-.f64 (neg.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 a c)))) b_2)
(cbrt.f64 (pow.f64 (+.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 c a))) b_2) #s(literal 3 binary64)))
(+.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 a c))))
(cbrt.f64 (/.f64 (pow.f64 (fma.f64 b_2 b_2 (fma.f64 c a (pow.f64 b_2 #s(literal 2 binary64)))) #s(literal 3 binary64)) (pow.f64 (+.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 c a))) b_2) #s(literal 3 binary64))))
(cbrt.f64 (/.f64 (pow.f64 (fma.f64 b_2 b_2 (fma.f64 c a (pow.f64 b_2 #s(literal 2 binary64)))) #s(literal 3 binary64)) (pow.f64 (+.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 a c)))) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (+.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 c a))) b_2)))
(expm1.f64 (log1p.f64 (+.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 a c))))))
(log1p.f64 (expm1.f64 (+.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 c a))) b_2)))
(+.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 a c))))
(exp.f64 (log.f64 (+.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 c a))) b_2)))
(+.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 a c))))
(exp.f64 (*.f64 (log.f64 (+.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 c a))) b_2)) #s(literal 1 binary64)))
(+.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 a c))))
(fma.f64 #s(literal 1 binary64) (hypot.f64 b_2 (sqrt.f64 (*.f64 c a))) b_2)
(+.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 a c))))
(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 (cbrt.f64 (fma.f64 b_2 b_2 (*.f64 a c))) (cbrt.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 a c)))) 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 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 a c))))

eval494.0ms (5.6%)

Compiler

Compiled 32666 to 17174 computations (47.4% saved)

prune329.0ms (3.7%)

Pruning

19 alts after pruning (14 fresh and 5 done)

PrunedKeptTotal
New110141105
Fresh21012
Picked145
Done011
Total1104191123
Accuracy
92.2%
Counts
1123 → 19
Alt Table
Click to see full alt table
StatusAccuracyProgram
47.7%
(fma.f64 (pow.f64 (-.f64 (pow.f64 b_2 #s(literal 2 binary64)) (*.f64 a c)) #s(literal 1/4 binary64)) (/.f64 (pow.f64 (-.f64 (pow.f64 b_2 #s(literal 2 binary64)) (*.f64 a c)) #s(literal 1/4 binary64)) a) (/.f64 b_2 (neg.f64 a)))
50.3%
(pow.f64 (cbrt.f64 (/.f64 (-.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 c (neg.f64 a)))) b_2) a)) #s(literal 3 binary64))
26.5%
(/.f64 (/.f64 (*.f64 (*.f64 c #s(literal -1/2 binary64)) a) b_2) a)
42.3%
(/.f64 (/.f64 (neg.f64 (*.f64 a c)) (-.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 c (neg.f64 a)))) (neg.f64 b_2))) a)
51.1%
(/.f64 (-.f64 (hypot.f64 (sqrt.f64 (*.f64 c (neg.f64 a))) b_2) b_2) a)
32.8%
(/.f64 (-.f64 (*.f64 (neg.f64 b_2) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 a (/.f64 c (pow.f64 b_2 #s(literal 2 binary64))))))) b_2) a)
49.8%
(/.f64 (-.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) b_2) a)
35.2%
(/.f64 (-.f64 (sqrt.f64 (*.f64 c (neg.f64 a))) b_2) a)
43.0%
(/.f64 (-.f64 (exp.f64 (log.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 c (neg.f64 a)))))) b_2) a)
11.4%
(/.f64 (-.f64 b_2 b_2) a)
0.6%
(/.f64 (+.f64 (+.f64 (sqrt.f64 (*.f64 c a)) b_2) b_2) a)
36.3%
(/.f64 (*.f64 c #s(literal -1/2 binary64)) b_2)
33.4%
(/.f64 (*.f64 b_2 #s(literal -2 binary64)) a)
0.5%
(/.f64 (exp.f64 (log.f64 (+.f64 (+.f64 (sqrt.f64 (*.f64 c a)) b_2) b_2))) a)
14.5%
(/.f64 b_2 (neg.f64 a))
51.1%
(/.f64 #s(literal 1 binary64) (/.f64 a (-.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 c (neg.f64 a)))) b_2)))
51.0%
(*.f64 (/.f64 #s(literal 1 binary64) a) (-.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 c (neg.f64 a)))) b_2))
32.7%
(*.f64 c (-.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 a c) (pow.f64 b_2 #s(literal 3 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) b_2))))
32.7%
(*.f64 #s(literal -1 binary64) (*.f64 b_2 (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 c (pow.f64 b_2 #s(literal 2 binary64)))) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) a)))))
Compiler

Compiled 507 to 349 computations (31.2% saved)

localize272.0ms (3%)

Compiler

Compiled 219 to 78 computations (64.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 128.0ms
Operation ival-mult, time spent: 34.0ms, 27.0% of total-time
Operation ival-pow, time spent: 30.0ms, 23.0% of total-time
Operation ival-div, time spent: 29.0ms, 23.0% of total-time
Operation composed, time spent: 9.0ms, 7.0% of total-time
Operation ival-sqrt, time spent: 7.0ms, 5.0% of total-time
Operation ival-add, time spent: 4.0ms, 3.0% of total-time
Operation const, time spent: 4.0ms, 3.0% of total-time
Operation ival-sub, time spent: 4.0ms, 3.0% of total-time
Operation ival-exp, time spent: 3.0ms, 2.0% of total-time
Operation ival-log, time spent: 3.0ms, 2.0% of total-time
Operation ival-neg, time spent: 1.0ms, 1.0% of total-time

eval0.0ms (0%)

Compiler

Compiled 3 to 3 computations (0% saved)

prune15.0ms (0.2%)

Pruning

19 alts after pruning (9 fresh and 10 done)

PrunedKeptTotal
New000
Fresh099
Picked055
Done055
Total01919
Accuracy
92.2%
Counts
19 → 19
Alt Table
Click to see full alt table
StatusAccuracyProgram
47.7%
(fma.f64 (pow.f64 (-.f64 (pow.f64 b_2 #s(literal 2 binary64)) (*.f64 a c)) #s(literal 1/4 binary64)) (/.f64 (pow.f64 (-.f64 (pow.f64 b_2 #s(literal 2 binary64)) (*.f64 a c)) #s(literal 1/4 binary64)) a) (/.f64 b_2 (neg.f64 a)))
50.3%
(pow.f64 (cbrt.f64 (/.f64 (-.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 c (neg.f64 a)))) b_2) a)) #s(literal 3 binary64))
26.5%
(/.f64 (/.f64 (*.f64 (*.f64 c #s(literal -1/2 binary64)) a) b_2) a)
42.3%
(/.f64 (/.f64 (neg.f64 (*.f64 a c)) (-.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 c (neg.f64 a)))) (neg.f64 b_2))) a)
51.1%
(/.f64 (-.f64 (hypot.f64 (sqrt.f64 (*.f64 c (neg.f64 a))) b_2) b_2) a)
32.8%
(/.f64 (-.f64 (*.f64 (neg.f64 b_2) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 a (/.f64 c (pow.f64 b_2 #s(literal 2 binary64))))))) b_2) a)
49.8%
(/.f64 (-.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) b_2) a)
35.2%
(/.f64 (-.f64 (sqrt.f64 (*.f64 c (neg.f64 a))) b_2) a)
43.0%
(/.f64 (-.f64 (exp.f64 (log.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 c (neg.f64 a)))))) b_2) a)
11.4%
(/.f64 (-.f64 b_2 b_2) a)
0.6%
(/.f64 (+.f64 (+.f64 (sqrt.f64 (*.f64 c a)) b_2) b_2) a)
36.3%
(/.f64 (*.f64 c #s(literal -1/2 binary64)) b_2)
33.4%
(/.f64 (*.f64 b_2 #s(literal -2 binary64)) a)
0.5%
(/.f64 (exp.f64 (log.f64 (+.f64 (+.f64 (sqrt.f64 (*.f64 c a)) b_2) b_2))) a)
14.5%
(/.f64 b_2 (neg.f64 a))
51.1%
(/.f64 #s(literal 1 binary64) (/.f64 a (-.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 c (neg.f64 a)))) b_2)))
51.0%
(*.f64 (/.f64 #s(literal 1 binary64) a) (-.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 c (neg.f64 a)))) b_2))
32.7%
(*.f64 c (-.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 a c) (pow.f64 b_2 #s(literal 3 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) b_2))))
32.7%
(*.f64 #s(literal -1 binary64) (*.f64 b_2 (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 c (pow.f64 b_2 #s(literal 2 binary64)))) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) a)))))
Compiler

Compiled 437 to 300 computations (31.4% saved)

localize251.0ms (2.8%)

Compiler

Compiled 270 to 86 computations (68.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 136.0ms
Operation ival-mult, time spent: 39.0ms, 29.0% of total-time
Operation ival-div, time spent: 25.0ms, 18.0% of total-time
Operation ival-pow, time spent: 25.0ms, 18.0% of total-time
Operation ival-add, time spent: 9.0ms, 7.0% of total-time
Operation composed, time spent: 9.0ms, 7.0% of total-time
Operation ival-sqrt, time spent: 7.0ms, 5.0% of total-time
Operation ival-sub, time spent: 6.0ms, 4.0% of total-time
Operation ival-log, time spent: 4.0ms, 3.0% of total-time
Operation const, time spent: 4.0ms, 3.0% of total-time
Operation ival-exp, time spent: 3.0ms, 2.0% of total-time
Operation ival-neg, time spent: 3.0ms, 2.0% of total-time
Operation ival-cbrt, time spent: 2.0ms, 1.0% of total-time

eval0.0ms (0%)

Compiler

Compiled 3 to 3 computations (0% saved)

prune15.0ms (0.2%)

Pruning

19 alts after pruning (4 fresh and 15 done)

PrunedKeptTotal
New000
Fresh044
Picked055
Done01010
Total01919
Accuracy
92.2%
Counts
19 → 19
Alt Table
Click to see full alt table
StatusAccuracyProgram
47.7%
(fma.f64 (pow.f64 (-.f64 (pow.f64 b_2 #s(literal 2 binary64)) (*.f64 a c)) #s(literal 1/4 binary64)) (/.f64 (pow.f64 (-.f64 (pow.f64 b_2 #s(literal 2 binary64)) (*.f64 a c)) #s(literal 1/4 binary64)) a) (/.f64 b_2 (neg.f64 a)))
50.3%
(pow.f64 (cbrt.f64 (/.f64 (-.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 c (neg.f64 a)))) b_2) a)) #s(literal 3 binary64))
26.5%
(/.f64 (/.f64 (*.f64 (*.f64 c #s(literal -1/2 binary64)) a) b_2) a)
42.3%
(/.f64 (/.f64 (neg.f64 (*.f64 a c)) (-.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 c (neg.f64 a)))) (neg.f64 b_2))) a)
51.1%
(/.f64 (-.f64 (hypot.f64 (sqrt.f64 (*.f64 c (neg.f64 a))) b_2) b_2) a)
32.8%
(/.f64 (-.f64 (*.f64 (neg.f64 b_2) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 a (/.f64 c (pow.f64 b_2 #s(literal 2 binary64))))))) b_2) a)
49.8%
(/.f64 (-.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) b_2) a)
35.2%
(/.f64 (-.f64 (sqrt.f64 (*.f64 c (neg.f64 a))) b_2) a)
43.0%
(/.f64 (-.f64 (exp.f64 (log.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 c (neg.f64 a)))))) b_2) a)
11.4%
(/.f64 (-.f64 b_2 b_2) a)
0.6%
(/.f64 (+.f64 (+.f64 (sqrt.f64 (*.f64 c a)) b_2) b_2) a)
36.3%
(/.f64 (*.f64 c #s(literal -1/2 binary64)) b_2)
33.4%
(/.f64 (*.f64 b_2 #s(literal -2 binary64)) a)
0.5%
(/.f64 (exp.f64 (log.f64 (+.f64 (+.f64 (sqrt.f64 (*.f64 c a)) b_2) b_2))) a)
14.5%
(/.f64 b_2 (neg.f64 a))
51.1%
(/.f64 #s(literal 1 binary64) (/.f64 a (-.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 c (neg.f64 a)))) b_2)))
51.0%
(*.f64 (/.f64 #s(literal 1 binary64) a) (-.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 c (neg.f64 a)))) b_2))
32.7%
(*.f64 c (-.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 a c) (pow.f64 b_2 #s(literal 3 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) b_2))))
32.7%
(*.f64 #s(literal -1 binary64) (*.f64 b_2 (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 c (pow.f64 b_2 #s(literal 2 binary64)))) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) a)))))
Compiler

Compiled 594 to 332 computations (44.1% saved)

regimes209.0ms (2.3%)

Counts
23 → 3
Calls
Call 1
Inputs
(/.f64 b_2 (neg.f64 a))
(/.f64 (*.f64 b_2 #s(literal -2 binary64)) a)
(/.f64 (*.f64 c #s(literal -1/2 binary64)) b_2)
(/.f64 (-.f64 b_2 b_2) a)
(/.f64 (/.f64 (*.f64 (*.f64 c #s(literal -1/2 binary64)) a) b_2) a)
(/.f64 (-.f64 (sqrt.f64 (*.f64 c (neg.f64 a))) b_2) a)
(/.f64 (+.f64 (+.f64 (sqrt.f64 (*.f64 c a)) b_2) b_2) 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 #s(literal -1 binary64) (*.f64 b_2 (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 c (pow.f64 b_2 #s(literal 2 binary64)))) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) a)))))
(*.f64 c (-.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 a c) (pow.f64 b_2 #s(literal 3 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) b_2))))
(/.f64 (-.f64 (*.f64 (neg.f64 b_2) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 a (/.f64 c (pow.f64 b_2 #s(literal 2 binary64))))))) b_2) a)
(/.f64 (-.f64 (hypot.f64 (sqrt.f64 (*.f64 c (neg.f64 a))) b_2) b_2) a)
(*.f64 (/.f64 #s(literal 1 binary64) a) (-.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 c (neg.f64 a)))) b_2))
(/.f64 #s(literal 1 binary64) (/.f64 a (-.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 c (neg.f64 a)))) b_2)))
(/.f64 (/.f64 (neg.f64 (*.f64 a c)) (-.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 c (neg.f64 a)))) (neg.f64 b_2))) a)
(/.f64 (exp.f64 (log.f64 (+.f64 (+.f64 (sqrt.f64 (*.f64 c a)) b_2) b_2))) a)
(/.f64 (-.f64 (pow.f64 (pow.f64 (-.f64 (pow.f64 b_2 #s(literal 2 binary64)) (*.f64 a c)) #s(literal 1/4 binary64)) #s(literal 2 binary64)) b_2) a)
(/.f64 (-.f64 (sqrt.f64 (-.f64 (pow.f64 b_2 #s(literal 2 binary64)) (-.f64 (*.f64 a c) (*.f64 #s(literal 2 binary64) (fma.f64 a (neg.f64 c) (*.f64 a c)))))) b_2) a)
(/.f64 (/.f64 (-.f64 (-.f64 (pow.f64 b_2 #s(literal 2 binary64)) (*.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 (-.f64 (exp.f64 (log.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 c (neg.f64 a)))))) b_2) a)
(pow.f64 (cbrt.f64 (/.f64 (-.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 c (neg.f64 a)))) b_2) a)) #s(literal 3 binary64))
(fma.f64 (pow.f64 (-.f64 (pow.f64 b_2 #s(literal 2 binary64)) (*.f64 a c)) #s(literal 1/4 binary64)) (/.f64 (pow.f64 (-.f64 (pow.f64 b_2 #s(literal 2 binary64)) (*.f64 a c)) #s(literal 1/4 binary64)) a) (/.f64 b_2 (neg.f64 a)))
Outputs
(/.f64 (*.f64 b_2 #s(literal -2 binary64)) a)
(/.f64 (-.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) b_2) a)
(/.f64 (*.f64 c #s(literal -1/2 binary64)) b_2)
Calls

4 calls:

88.0ms
a
60.0ms
c
31.0ms
b_2
29.0ms
(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) a)
Results
AccuracySegmentsBranch
60.0%8a
88.3%3b_2
59.3%6c
73.9%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)

regimes15.0ms (0.2%)

Counts
7 → 3
Calls
Call 1
Inputs
(/.f64 b_2 (neg.f64 a))
(/.f64 (*.f64 b_2 #s(literal -2 binary64)) a)
(/.f64 (*.f64 c #s(literal -1/2 binary64)) b_2)
(/.f64 (-.f64 b_2 b_2) a)
(/.f64 (/.f64 (*.f64 (*.f64 c #s(literal -1/2 binary64)) a) b_2) a)
(/.f64 (-.f64 (sqrt.f64 (*.f64 c (neg.f64 a))) b_2) a)
(/.f64 (+.f64 (+.f64 (sqrt.f64 (*.f64 c a)) b_2) b_2) a)
Outputs
(/.f64 (*.f64 b_2 #s(literal -2 binary64)) a)
(/.f64 (-.f64 (sqrt.f64 (*.f64 c (neg.f64 a))) b_2) a)
(/.f64 (*.f64 c #s(literal -1/2 binary64)) b_2)
Calls

1 calls:

14.0ms
b_2
Results
AccuracySegmentsBranch
85.5%3b_2
Compiler

Compiled 4 to 3 computations (25% saved)

regimes8.0ms (0.1%)

Counts
5 → 2
Calls
Call 1
Inputs
(/.f64 b_2 (neg.f64 a))
(/.f64 (*.f64 b_2 #s(literal -2 binary64)) a)
(/.f64 (*.f64 c #s(literal -1/2 binary64)) b_2)
(/.f64 (-.f64 b_2 b_2) a)
(/.f64 (/.f64 (*.f64 (*.f64 c #s(literal -1/2 binary64)) a) b_2) a)
Outputs
(/.f64 (*.f64 b_2 #s(literal -2 binary64)) a)
(/.f64 (*.f64 c #s(literal -1/2 binary64)) b_2)
Calls

1 calls:

8.0ms
b_2
Results
AccuracySegmentsBranch
67.4%2b_2
Compiler

Compiled 4 to 3 computations (25% saved)

regimes10.0ms (0.1%)

Counts
2 → 1
Calls
Call 1
Inputs
(/.f64 b_2 (neg.f64 a))
(/.f64 (*.f64 b_2 #s(literal -2 binary64)) a)
Outputs
(/.f64 (*.f64 b_2 #s(literal -2 binary64)) a)
Calls

3 calls:

4.0ms
a
3.0ms
b_2
3.0ms
c
Results
AccuracySegmentsBranch
33.4%1a
33.4%1c
33.4%1b_2
Compiler

Compiled 12 to 9 computations (25% saved)

regimes8.0ms (0.1%)

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts
1 → 1
Calls
Call 1
Inputs
(/.f64 b_2 (neg.f64 a))
Outputs
(/.f64 b_2 (neg.f64 a))
Calls

3 calls:

3.0ms
b_2
3.0ms
c
3.0ms
a
Results
AccuracySegmentsBranch
14.5%1a
14.5%1b_2
14.5%1c
Compiler

Compiled 12 to 9 computations (25% saved)

bsearch40.0ms (0.4%)

Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
27.0ms
9.988849918422226e-82
2.494157719957988e-79
12.0ms
-1.8177097045748914e+129
-7.763034148055312e+128
Results
17.0ms132×256valid
3.0ms26×256invalid
2.0ms19×256infinite
5.0ms18×1024valid
4.0ms15×512valid
3.0ms2048valid
0.0ms1024valid
Compiler

Compiled 322 to 219 computations (32% saved)

Precisions
Click to see histograms. Total time spent on operations: 15.0ms
Operation ival-mult, time spent: 5.0ms, 33.0% of total-time
Operation ival-sqrt, time spent: 2.0ms, 13.0% of total-time
Operation ival-div, time spent: 2.0ms, 13.0% of total-time
Operation ival-sub, time spent: 2.0ms, 13.0% of total-time
Operation ival-neg, time spent: 2.0ms, 13.0% of total-time
Operation ival-add, time spent: 2.0ms, 13.0% of total-time
Operation const, time spent: 0.0ms, 0.0% of total-time

bsearch42.0ms (0.5%)

Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
29.0ms
9.988849918422226e-82
2.494157719957988e-79
13.0ms
-1.6736313282399657e-29
-9.68921308667203e-30
Results
19.0ms137×256valid
6.0ms54×256invalid
7.0ms20×1024valid
3.0ms13×512valid
2.0ms2048valid
0.0ms1024valid
Compiler

Compiled 264 to 191 computations (27.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 16.0ms
Operation ival-mult, time spent: 6.0ms, 38.0% of total-time
Operation ival-sqrt, time spent: 2.0ms, 13.0% of total-time
Operation ival-div, time spent: 2.0ms, 13.0% of total-time
Operation ival-sub, time spent: 2.0ms, 13.0% of total-time
Operation ival-neg, time spent: 2.0ms, 13.0% of total-time
Operation ival-add, time spent: 2.0ms, 13.0% of total-time
Operation const, time spent: 0.0ms, 0.0% of total-time

bsearch23.0ms (0.3%)

Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
23.0ms
1.088301625078442e-308
2.9937428964813907e-307
Results
14.0ms111×256valid
6.0ms54×256invalid
0.0ms256valid
Compiler

Compiled 148 to 113 computations (23.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 8.0ms
Operation ival-mult, time spent: 2.0ms, 25.0% of total-time
Operation ival-sub, time spent: 1.0ms, 13.0% of total-time
Operation ival-div, time spent: 1.0ms, 13.0% of total-time
Operation ival-add, time spent: 1.0ms, 13.0% of total-time
Operation ival-sqrt, time spent: 1.0ms, 13.0% of total-time
Operation ival-neg, time spent: 1.0ms, 13.0% of total-time
Operation const, time spent: 0.0ms, 0.0% of total-time

simplify11.0ms (0.1%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
046302
164302
280302
389302
494302
595302
Stop Event
fuel
saturated
Calls
Call 1
Inputs
(if (<=.f64 b_2 #s(literal -1800000000000000058357033097399808317966072120241339071222870621616153142099836813228748647020474988352389939997833686437574213632 binary64)) (/.f64 (*.f64 b_2 #s(literal -2 binary64)) a) (if (<=.f64 b_2 #s(literal 5006219615439633/33374797436264220037422214158899251790667258161822699530422525122222183215322508594108782608384 binary64)) (/.f64 (-.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) b_2) a) (/.f64 (*.f64 c #s(literal -1/2 binary64)) b_2)))
(if (<=.f64 b_2 #s(literal -7278963232800395/713623846352979940529142984724747568191373312 binary64)) (/.f64 (*.f64 b_2 #s(literal -2 binary64)) a) (if (<=.f64 b_2 #s(literal 1067993517960455/16687398718132110018711107079449625895333629080911349765211262561111091607661254297054391304192 binary64)) (/.f64 (-.f64 (sqrt.f64 (*.f64 c (neg.f64 a))) b_2) a) (/.f64 (*.f64 c #s(literal -1/2 binary64)) b_2)))
(if (<=.f64 b_2 #s(literal 2226424786380417/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) (/.f64 (*.f64 b_2 #s(literal -2 binary64)) a) (/.f64 (*.f64 c #s(literal -1/2 binary64)) b_2))
(/.f64 (*.f64 b_2 #s(literal -2 binary64)) a)
(/.f64 b_2 (neg.f64 a))
Outputs
(if (<=.f64 b_2 #s(literal -1800000000000000058357033097399808317966072120241339071222870621616153142099836813228748647020474988352389939997833686437574213632 binary64)) (/.f64 (*.f64 b_2 #s(literal -2 binary64)) a) (if (<=.f64 b_2 #s(literal 5006219615439633/33374797436264220037422214158899251790667258161822699530422525122222183215322508594108782608384 binary64)) (/.f64 (-.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) b_2) a) (/.f64 (*.f64 c #s(literal -1/2 binary64)) b_2)))
(if (<=.f64 b_2 #s(literal -7278963232800395/713623846352979940529142984724747568191373312 binary64)) (/.f64 (*.f64 b_2 #s(literal -2 binary64)) a) (if (<=.f64 b_2 #s(literal 1067993517960455/16687398718132110018711107079449625895333629080911349765211262561111091607661254297054391304192 binary64)) (/.f64 (-.f64 (sqrt.f64 (*.f64 c (neg.f64 a))) b_2) a) (/.f64 (*.f64 c #s(literal -1/2 binary64)) b_2)))
(if (<=.f64 b_2 #s(literal -7278963232800395/713623846352979940529142984724747568191373312 binary64)) (/.f64 (*.f64 b_2 #s(literal -2 binary64)) a) (if (<=.f64 b_2 #s(literal 1067993517960455/16687398718132110018711107079449625895333629080911349765211262561111091607661254297054391304192 binary64)) (/.f64 (-.f64 (sqrt.f64 (*.f64 a (neg.f64 c))) b_2) a) (/.f64 (*.f64 c #s(literal -1/2 binary64)) b_2)))
(if (<=.f64 b_2 #s(literal 2226424786380417/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) (/.f64 (*.f64 b_2 #s(literal -2 binary64)) a) (/.f64 (*.f64 c #s(literal -1/2 binary64)) b_2))
(/.f64 (*.f64 b_2 #s(literal -2 binary64)) a)
(/.f64 b_2 (neg.f64 a))
Compiler

Compiled 95 to 64 computations (32.6% saved)

soundness1.0s (11.3%)

Rules
2006×fma-neg
1734×times-frac
1414×fma-define
1288×associate-*r*
1088×*-commutative
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
0108933894
1296831870
0159475238
1464872830
055631
1136579
2281571
3777571
42087571
53954571
64998571
75251571
85344571
95376571
105392571
115392571
Stop Event
saturated
node limit
node limit
Compiler

Compiled 129 to 68 computations (47.3% saved)

end0.0ms (0%)

preprocess129.0ms (1.5%)

Compiler

Compiled 382 to 176 computations (53.9% saved)

Profiling

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