Diagrams.TwoD.Apollonian:descartes from diagrams-contrib-1.3.0.5

Time bar (total: 17.5s)

analyze278.0ms (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
25%25%74.9%0.1%0%0%0%5
25%25%74.9%0.1%0%0%0%6
25%25%74.9%0.1%0%0%0%7
25%25%74.9%0.1%0%0%0%8
26.2%25%70.2%0.1%0%4.7%0%9
28.9%25%61.4%0.1%0%13.5%0%10
31.2%26.3%58%0.1%0%15.5%0%11
37.2%28.9%48.7%0.1%0%22.3%0%12
Compiler

Compiled 18 to 12 computations (33.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 131.0ms
Operation ival-mult, time spent: 83.0ms, 63.0% of total-time
Operation ival-add, time spent: 27.0ms, 21.0% of total-time
Operation ival-sqrt, time spent: 18.0ms, 14.0% of total-time
Operation const, time spent: 4.0ms, 3.0% of total-time

sample2.2s (12.4%)

Results
1.4s8255×256valid
533.0ms4456×256invalid
0.0ms256valid
Precisions
Click to see histograms. Total time spent on operations: 890.0ms
Operation ival-mult, time spent: 530.0ms, 60.0% of total-time
Operation ival-add, time spent: 216.0ms, 24.0% of total-time
Operation ival-sqrt, time spent: 123.0ms, 14.0% of total-time
Operation const, time spent: 20.0ms, 2.0% of total-time
Bogosity

preprocess451.0ms (2.6%)

Algorithm
egg-herbie
Rules
1686×fma-neg
1388×fma-define
468×cancel-sign-sub-inv
294×sub-neg
204×associate-+l-
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
1000-2(3.282460399458623e-269 1.1551583294887318e-175 8.235225542348637e-146)(sqrt.f64 (+.f64 (+.f64 (*.f64 x y) (*.f64 x z)) (*.f64 y z)))
40-0-(+.f64 (+.f64 (*.f64 x y) (*.f64 x z)) (*.f64 y z))
30-0-(+.f64 (*.f64 x y) (*.f64 x z))
00-0-x
00-0-(*.f64 y z)
00-0-y
00-0-#s(literal 2 binary64)
00-0-(*.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (+.f64 (*.f64 x y) (*.f64 x z)) (*.f64 y z))))
00-0-(*.f64 x y)
00-0-(*.f64 x z)
00-0-z
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
057590
1156534
2328530
3624530
41291530
51969530
62919530
73283530
83342530
93348530
103348530
Stop Event
saturated
Calls
Call 1
Inputs
(*.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (+.f64 (*.f64 x y) (*.f64 x z)) (*.f64 y z))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (+.f64 (*.f64 x y) (*.f64 x z)) (*.f64 y z))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (+.f64 (*.f64 (neg.f64 x) y) (*.f64 (neg.f64 x) z)) (*.f64 y z))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (+.f64 (*.f64 x (neg.f64 y)) (*.f64 x z)) (*.f64 (neg.f64 y) z))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (+.f64 (*.f64 x y) (*.f64 x (neg.f64 z))) (*.f64 y (neg.f64 z)))))
(neg.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (+.f64 (*.f64 (neg.f64 x) y) (*.f64 (neg.f64 x) z)) (*.f64 y z)))))
(neg.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (+.f64 (*.f64 x (neg.f64 y)) (*.f64 x z)) (*.f64 (neg.f64 y) z)))))
(neg.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (+.f64 (*.f64 x y) (*.f64 x (neg.f64 z))) (*.f64 y (neg.f64 z))))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (+.f64 (*.f64 y x) (*.f64 y z)) (*.f64 x z))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (+.f64 (*.f64 z y) (*.f64 z x)) (*.f64 y x))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (+.f64 (*.f64 x z) (*.f64 x y)) (*.f64 z y))))
Outputs
(*.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (+.f64 (*.f64 x y) (*.f64 x z)) (*.f64 y z))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (*.f64 x y) (*.f64 z (+.f64 y x)))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (fma.f64 x y (*.f64 z (+.f64 x y)))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (fma.f64 x z (*.f64 y (+.f64 x z)))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (+.f64 (*.f64 x y) (*.f64 x z)) (*.f64 y z))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (*.f64 x y) (*.f64 z (+.f64 y x)))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (fma.f64 x y (*.f64 z (+.f64 x y)))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (fma.f64 x z (*.f64 y (+.f64 x z)))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (+.f64 (*.f64 (neg.f64 x) y) (*.f64 (neg.f64 x) z)) (*.f64 y z))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (*.f64 y z) (*.f64 (neg.f64 x) (+.f64 y z)))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (fma.f64 y z (*.f64 (neg.f64 x) (+.f64 y z)))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (fma.f64 x (-.f64 (neg.f64 y) z) (*.f64 y z))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (-.f64 (*.f64 y (-.f64 z x)) (*.f64 x z))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (+.f64 (*.f64 x (neg.f64 y)) (*.f64 x z)) (*.f64 (neg.f64 y) z))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (*.f64 x (+.f64 (neg.f64 y) z)) (*.f64 y (neg.f64 z)))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (-.f64 (*.f64 x (fma.f64 #s(literal -1 binary64) y z)) (*.f64 y z))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (fma.f64 y (neg.f64 z) (*.f64 x (-.f64 z y)))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (+.f64 (*.f64 x y) (*.f64 x (neg.f64 z))) (*.f64 y (neg.f64 z)))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (*.f64 x (+.f64 y (neg.f64 z))) (*.f64 y (neg.f64 z)))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (fma.f64 x (-.f64 y z) (*.f64 y (neg.f64 z)))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (-.f64 (*.f64 x y) (*.f64 z (+.f64 x y)))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (neg.f64 (fma.f64 y z (*.f64 x (-.f64 z y))))))
(neg.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (+.f64 (*.f64 (neg.f64 x) y) (*.f64 (neg.f64 x) z)) (*.f64 y z)))))
(*.f64 #s(literal -2 binary64) (sqrt.f64 (+.f64 (*.f64 y z) (*.f64 (neg.f64 x) (+.f64 y z)))))
(*.f64 (sqrt.f64 (fma.f64 y z (*.f64 (neg.f64 x) (+.f64 y z)))) #s(literal -2 binary64))
(*.f64 (sqrt.f64 (fma.f64 x (-.f64 (neg.f64 y) z) (*.f64 y z))) #s(literal -2 binary64))
(*.f64 (sqrt.f64 (-.f64 (*.f64 y (-.f64 z x)) (*.f64 x z))) #s(literal -2 binary64))
(neg.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (+.f64 (*.f64 x (neg.f64 y)) (*.f64 x z)) (*.f64 (neg.f64 y) z)))))
(*.f64 #s(literal -2 binary64) (sqrt.f64 (+.f64 (*.f64 x (+.f64 (neg.f64 y) z)) (*.f64 y (neg.f64 z)))))
(*.f64 (sqrt.f64 (-.f64 (*.f64 x (fma.f64 #s(literal -1 binary64) y z)) (*.f64 y z))) #s(literal -2 binary64))
(*.f64 (sqrt.f64 (fma.f64 y (neg.f64 z) (*.f64 x (-.f64 z y)))) #s(literal -2 binary64))
(neg.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (+.f64 (*.f64 x y) (*.f64 x (neg.f64 z))) (*.f64 y (neg.f64 z))))))
(*.f64 #s(literal -2 binary64) (sqrt.f64 (+.f64 (*.f64 x (+.f64 y (neg.f64 z))) (*.f64 y (neg.f64 z)))))
(*.f64 (sqrt.f64 (fma.f64 x (-.f64 y z) (*.f64 y (neg.f64 z)))) #s(literal -2 binary64))
(*.f64 (sqrt.f64 (-.f64 (*.f64 x y) (*.f64 z (+.f64 x y)))) #s(literal -2 binary64))
(*.f64 (sqrt.f64 (neg.f64 (fma.f64 y z (*.f64 x (-.f64 z y))))) #s(literal -2 binary64))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (+.f64 (*.f64 y x) (*.f64 y z)) (*.f64 x z))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (*.f64 x y) (*.f64 z (+.f64 y x)))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (fma.f64 x y (*.f64 z (+.f64 x y)))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (fma.f64 x z (*.f64 y (+.f64 x z)))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (+.f64 (*.f64 z y) (*.f64 z x)) (*.f64 y x))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (*.f64 x y) (*.f64 z (+.f64 y x)))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (fma.f64 x y (*.f64 z (+.f64 x y)))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (fma.f64 x z (*.f64 y (+.f64 x z)))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (+.f64 (*.f64 x z) (*.f64 x y)) (*.f64 z y))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (*.f64 x y) (*.f64 z (+.f64 y x)))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (fma.f64 x y (*.f64 z (+.f64 x y)))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (fma.f64 x z (*.f64 y (+.f64 x z)))))
Symmetry

(sort x y z)

Compiler

Compiled 139 to 37 computations (73.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 26.0ms
Operation ival-mult, time spent: 15.0ms, 57.0% of total-time
Operation ival-add, time spent: 6.0ms, 23.0% of total-time
Operation ival-sqrt, time spent: 5.0ms, 19.0% of total-time
Operation const, time spent: 1.0ms, 4.0% of total-time

eval1.0ms (0%)

Compiler

Compiled 37 to 22 computations (40.5% saved)

prune2.0ms (0%)

Alt Table
Click to see full alt table
StatusAccuracyProgram
63.4%
(*.f64 #s(literal 2 binary64) (sqrt.f64 (fma.f64 x z (*.f64 y (+.f64 x z)))))
63.3%
(*.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (*.f64 x y) (*.f64 z (+.f64 y x)))))
Compiler

Compiled 29 to 19 computations (34.5% saved)

localize92.0ms (0.5%)

Localize:

Found 6 expressions with local error:

NewAccuracyProgram
100.0%
(fma.f64 x z (*.f64 y (+.f64 x z)))
100.0%
(*.f64 y (+.f64 x z))
63.4%
(sqrt.f64 (fma.f64 x z (*.f64 y (+.f64 x z))))
100.0%
(*.f64 z (+.f64 y x))
98.8%
(+.f64 (*.f64 x y) (*.f64 z (+.f64 y x)))
63.4%
(sqrt.f64 (+.f64 (*.f64 x y) (*.f64 z (+.f64 y x))))
Compiler

Compiled 90 to 19 computations (78.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 32.0ms
Operation ival-mult, time spent: 14.0ms, 44.0% of total-time
Operation ival-add, time spent: 8.0ms, 25.0% of total-time
Operation composed, time spent: 5.0ms, 16.0% of total-time
Operation ival-sqrt, time spent: 4.0ms, 13.0% of total-time
Operation const, time spent: 1.0ms, 3.0% of total-time

series43.0ms (0.2%)

Counts
6 → 204
Calls
Call 1
Inputs
#<alt (sqrt.f64 (+.f64 (*.f64 x y) (*.f64 z (+.f64 y x))))>
#<alt (+.f64 (*.f64 x y) (*.f64 z (+.f64 y x)))>
#<alt (*.f64 z (+.f64 y x))>
#<alt (sqrt.f64 (fma.f64 x z (*.f64 y (+.f64 x z))))>
#<alt (*.f64 y (+.f64 x z))>
#<alt (fma.f64 x z (*.f64 y (+.f64 x z)))>
Outputs
#<alt (sqrt.f64 (*.f64 y z))>
#<alt (+.f64 (sqrt.f64 (*.f64 y z)) (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x (+.f64 y z)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 y z))))))>
#<alt (+.f64 (sqrt.f64 (*.f64 y z)) (*.f64 x (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 x (pow.f64 (+.f64 y z) #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))))))) (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 y z))) (+.f64 y z))))))>
#<alt (+.f64 (sqrt.f64 (*.f64 y z)) (*.f64 x (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 y z))) (+.f64 y z))) (*.f64 x (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))))) (pow.f64 (+.f64 y z) #s(literal 2 binary64)))) (*.f64 #s(literal 1/16 binary64) (*.f64 (*.f64 x (pow.f64 (+.f64 y z) #s(literal 3 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 y #s(literal 5 binary64)) (pow.f64 z #s(literal 5 binary64))))))))))))>
#<alt (sqrt.f64 (*.f64 x (+.f64 y z)))>
#<alt (*.f64 x (+.f64 (sqrt.f64 (/.f64 (+.f64 y z) x)) (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 y z)))) (*.f64 y z)))))>
#<alt (*.f64 x (+.f64 (sqrt.f64 (/.f64 (+.f64 y z) x)) (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 5 binary64)) (pow.f64 (+.f64 y z) #s(literal 3 binary64))))) (*.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))) (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 y z)))) (*.f64 y z))))))>
#<alt (*.f64 x (+.f64 (sqrt.f64 (/.f64 (+.f64 y z) x)) (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 5 binary64)) (pow.f64 (+.f64 y z) #s(literal 3 binary64))))) (*.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))) (+.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 7 binary64)) (pow.f64 (+.f64 y z) #s(literal 5 binary64))))) (*.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))))) (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 y z)))) (*.f64 y z)))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) y) (*.f64 #s(literal -1 binary64) z)))) (sqrt.f64 #s(literal -1 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) y) (*.f64 #s(literal -1 binary64) z))))) (*.f64 y (*.f64 z (sqrt.f64 #s(literal -1 binary64)))))) (*.f64 (sqrt.f64 (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) y) (*.f64 #s(literal -1 binary64) z)) x)) (sqrt.f64 #s(literal -1 binary64))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 5 binary64)) (pow.f64 (+.f64 (*.f64 #s(literal -1 binary64) y) (*.f64 #s(literal -1 binary64) z)) #s(literal 3 binary64))))) (*.f64 (pow.f64 y #s(literal 2 binary64)) (*.f64 (pow.f64 z #s(literal 2 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 x #s(literal 3 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) y) (*.f64 #s(literal -1 binary64) z))))) (*.f64 y (*.f64 z (sqrt.f64 #s(literal -1 binary64)))))) (*.f64 (sqrt.f64 (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) y) (*.f64 #s(literal -1 binary64) z)) x)) (sqrt.f64 #s(literal -1 binary64)))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 5 binary64)) (pow.f64 (+.f64 (*.f64 #s(literal -1 binary64) y) (*.f64 #s(literal -1 binary64) z)) #s(literal 3 binary64))))) (*.f64 (pow.f64 y #s(literal 2 binary64)) (*.f64 (pow.f64 z #s(literal 2 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 x #s(literal 7 binary64)) (pow.f64 (+.f64 (*.f64 #s(literal -1 binary64) y) (*.f64 #s(literal -1 binary64) z)) #s(literal 5 binary64))))) (*.f64 (pow.f64 y #s(literal 3 binary64)) (*.f64 (pow.f64 z #s(literal 3 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 x #s(literal 3 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) y) (*.f64 #s(literal -1 binary64) z))))) (*.f64 y (*.f64 z (sqrt.f64 #s(literal -1 binary64)))))) (*.f64 (sqrt.f64 (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) y) (*.f64 #s(literal -1 binary64) z)) x)) (sqrt.f64 #s(literal -1 binary64))))))))>
#<alt (sqrt.f64 (*.f64 x z))>
#<alt (+.f64 (sqrt.f64 (*.f64 x z)) (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x z))) (*.f64 y (+.f64 x z)))))>
#<alt (+.f64 (sqrt.f64 (*.f64 x z)) (*.f64 y (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))))) (*.f64 y (pow.f64 (+.f64 x z) #s(literal 2 binary64))))) (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x z))) (+.f64 x z))))))>
#<alt (+.f64 (sqrt.f64 (*.f64 x z)) (*.f64 y (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x z))) (+.f64 x z))) (*.f64 y (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))))) (pow.f64 (+.f64 x z) #s(literal 2 binary64)))) (*.f64 #s(literal 1/16 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 5 binary64)) (pow.f64 z #s(literal 5 binary64))))) (*.f64 y (pow.f64 (+.f64 x z) #s(literal 3 binary64))))))))))>
#<alt (sqrt.f64 (*.f64 y (+.f64 x z)))>
#<alt (*.f64 y (+.f64 (sqrt.f64 (/.f64 (+.f64 x z) y)) (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x z) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 y #s(literal 3 binary64)) (+.f64 x z))))))))>
#<alt (*.f64 y (+.f64 (sqrt.f64 (/.f64 (+.f64 x z) y)) (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 y #s(literal 5 binary64)) (pow.f64 (+.f64 x z) #s(literal 3 binary64))))))) (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x z) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 y #s(literal 3 binary64)) (+.f64 x z)))))))))>
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Calls

54 calls:

TimeVariablePointExpression
3.0ms
x
@inf
(sqrt (+ (* x y) (* z (+ y x))))
3.0ms
x
@inf
(+ (* x y) (* z (+ y x)))
2.0ms
x
@-inf
(sqrt (+ (* x y) (* z (+ y x))))
2.0ms
z
@-inf
(sqrt (+ (* x z) (* y (+ x z))))
2.0ms
y
@-inf
(sqrt (+ (* x y) (* z (+ y x))))

rewrite283.0ms (1.6%)

Algorithm
batch-egg-rewrite
Rules
1746×fma-define
842×log1p-expm1-u
842×expm1-log1p-u
746×fma-neg
238×associate-*r*
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
020196
1284196
24186196
Stop Event
node limit
Counts
6 → 331
Calls
Call 1
Inputs
(sqrt.f64 (+.f64 (*.f64 x y) (*.f64 z (+.f64 y x))))
(+.f64 (*.f64 x y) (*.f64 z (+.f64 y x)))
(*.f64 z (+.f64 y x))
(sqrt.f64 (fma.f64 x z (*.f64 y (+.f64 x z))))
(*.f64 y (+.f64 x z))
(fma.f64 x z (*.f64 y (+.f64 x z)))
Outputs
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (fma.f64 y (+.f64 x z) (*.f64 x z))))) #s(literal 1 binary64))
(*.f64 (sqrt.f64 (fma.f64 y (+.f64 x z) (*.f64 x z))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 y (+.f64 x z) (*.f64 x z))))
(*.f64 (cbrt.f64 (sqrt.f64 (fma.f64 y (+.f64 x z) (*.f64 x z)))) (cbrt.f64 (fma.f64 y (+.f64 x z) (*.f64 x z))))
(*.f64 (cbrt.f64 (fma.f64 y (+.f64 x z) (*.f64 x z))) (cbrt.f64 (sqrt.f64 (fma.f64 y (+.f64 x z) (*.f64 x z)))))
(*.f64 (pow.f64 (fma.f64 y (+.f64 x z) (*.f64 x z)) #s(literal 1/4 binary64)) (pow.f64 (fma.f64 y (+.f64 x z) (*.f64 x z)) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/2 binary64)) (sqrt.f64 (fma.f64 y (+.f64 x z) (*.f64 x z))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (fma.f64 y (+.f64 x z) (*.f64 x z))) #s(literal 2 binary64)) #s(literal 1/2 binary64)) (pow.f64 (cbrt.f64 (fma.f64 y (+.f64 x z) (*.f64 x z))) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 y (+.f64 x z) (*.f64 x z))) #s(literal 2 binary64))) (sqrt.f64 (cbrt.f64 (fma.f64 y (+.f64 x z) (*.f64 x z)))))
(/.f64 (sqrt.f64 (-.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (pow.f64 (*.f64 z (+.f64 x y)) #s(literal 2 binary64)))) (sqrt.f64 (-.f64 (*.f64 x y) (*.f64 z (+.f64 x y)))))
(/.f64 (sqrt.f64 (+.f64 (pow.f64 (*.f64 x y) #s(literal 3 binary64)) (pow.f64 (*.f64 z (+.f64 x y)) #s(literal 3 binary64)))) (sqrt.f64 (fma.f64 (*.f64 z (+.f64 x y)) (fma.f64 z (+.f64 x y) (neg.f64 (*.f64 x y))) (pow.f64 (*.f64 x y) #s(literal 2 binary64)))))
(pow.f64 (fma.f64 y (+.f64 x z) (*.f64 x z)) #s(literal 1/2 binary64))
(pow.f64 (sqrt.f64 (fma.f64 y (+.f64 x z) (*.f64 x z))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (sqrt.f64 (fma.f64 y (+.f64 x z) (*.f64 x z)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (fma.f64 y (+.f64 x z) (*.f64 x z)) #s(literal 3/2 binary64)) #s(literal 1/3 binary64))
(pow.f64 (pow.f64 (fma.f64 y (+.f64 x z) (*.f64 x z)) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(fabs.f64 (sqrt.f64 (fma.f64 y (+.f64 x z) (*.f64 x z))))
(log.f64 (exp.f64 (sqrt.f64 (fma.f64 y (+.f64 x z) (*.f64 x z)))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (sqrt.f64 (fma.f64 y (+.f64 x z) (*.f64 x z))))))
(cbrt.f64 (pow.f64 (fma.f64 y (+.f64 x z) (*.f64 x z)) #s(literal 3/2 binary64)))
(expm1.f64 (log1p.f64 (sqrt.f64 (fma.f64 y (+.f64 x z) (*.f64 x z)))))
(hypot.f64 (sqrt.f64 (*.f64 x y)) (sqrt.f64 (*.f64 z (+.f64 x y))))
(hypot.f64 (sqrt.f64 (*.f64 z (+.f64 x y))) (sqrt.f64 (*.f64 x y)))
(log1p.f64 (expm1.f64 (sqrt.f64 (fma.f64 y (+.f64 x z) (*.f64 x z)))))
(exp.f64 (log.f64 (sqrt.f64 (fma.f64 y (+.f64 x z) (*.f64 x z)))))
(exp.f64 (*.f64 (log.f64 (fma.f64 y (+.f64 x z) (*.f64 x z))) #s(literal 1/2 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (fma.f64 y (+.f64 x z) (*.f64 x z)))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 y (+.f64 x z) (*.f64 x z)))) #s(literal 1 binary64))
(-.f64 (/.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (-.f64 (*.f64 x y) (*.f64 z (+.f64 x y)))) (/.f64 (pow.f64 (*.f64 z (+.f64 x y)) #s(literal 2 binary64)) (-.f64 (*.f64 x y) (*.f64 z (+.f64 x y)))))
(*.f64 (fma.f64 y (+.f64 x z) (*.f64 x z)) #s(literal 1 binary64))
(*.f64 (sqrt.f64 (fma.f64 y (+.f64 x z) (*.f64 x z))) (sqrt.f64 (fma.f64 y (+.f64 x z) (*.f64 x z))))
(*.f64 #s(literal 1 binary64) (fma.f64 y (+.f64 x z) (*.f64 x z)))
(*.f64 (cbrt.f64 (fma.f64 y (+.f64 x z) (*.f64 x z))) (pow.f64 (cbrt.f64 (fma.f64 y (+.f64 x z) (*.f64 x z))) #s(literal 2 binary64)))
(*.f64 (cbrt.f64 (fma.f64 y (+.f64 x z) (*.f64 x z))) (*.f64 (cbrt.f64 (sqrt.f64 (fma.f64 y (+.f64 x z) (*.f64 x z)))) (sqrt.f64 (fma.f64 y (+.f64 x z) (*.f64 x z)))))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 y (+.f64 x z) (*.f64 x z))) #s(literal 2 binary64)) (cbrt.f64 (fma.f64 y (+.f64 x z) (*.f64 x z))))
(*.f64 (pow.f64 (fma.f64 y (+.f64 x z) (*.f64 x z)) #s(literal 1/4 binary64)) (*.f64 (pow.f64 (fma.f64 y (+.f64 x z) (*.f64 x z)) #s(literal 1/4 binary64)) (sqrt.f64 (fma.f64 y (+.f64 x z) (*.f64 x z)))))
(*.f64 (+.f64 (pow.f64 (*.f64 x y) #s(literal 3 binary64)) (pow.f64 (*.f64 z (+.f64 x y)) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 z (+.f64 x y)) (fma.f64 z (+.f64 x y) (neg.f64 (*.f64 x y))) (pow.f64 (*.f64 x y) #s(literal 2 binary64)))))
(*.f64 (-.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (pow.f64 (*.f64 z (+.f64 x y)) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x y) (*.f64 z (+.f64 x y)))))
(*.f64 (*.f64 (sqrt.f64 (fma.f64 y (+.f64 x z) (*.f64 x z))) (pow.f64 (fma.f64 y (+.f64 x z) (*.f64 x z)) #s(literal 1/4 binary64))) (pow.f64 (fma.f64 y (+.f64 x z) (*.f64 x z)) #s(literal 1/4 binary64)))
(*.f64 (*.f64 (sqrt.f64 (fma.f64 y (+.f64 x z) (*.f64 x z))) (cbrt.f64 (fma.f64 y (+.f64 x z) (*.f64 x z)))) (cbrt.f64 (sqrt.f64 (fma.f64 y (+.f64 x z) (*.f64 x z)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 z (+.f64 x y)) (fma.f64 z (+.f64 x y) (neg.f64 (*.f64 x y))) (pow.f64 (*.f64 x y) #s(literal 2 binary64))) (+.f64 (pow.f64 (*.f64 x y) #s(literal 3 binary64)) (pow.f64 (*.f64 z (+.f64 x y)) #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 x y) (*.f64 z (+.f64 x y))) (-.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (pow.f64 (*.f64 z (+.f64 x y)) #s(literal 2 binary64)))))
(/.f64 (+.f64 (pow.f64 (*.f64 x y) #s(literal 3 binary64)) (pow.f64 (*.f64 z (+.f64 x y)) #s(literal 3 binary64))) (fma.f64 (*.f64 z (+.f64 x y)) (fma.f64 z (+.f64 x y) (neg.f64 (*.f64 x y))) (pow.f64 (*.f64 x y) #s(literal 2 binary64))))
(/.f64 (+.f64 (pow.f64 (*.f64 x y) #s(literal 3 binary64)) (pow.f64 (*.f64 z (+.f64 x y)) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 z (+.f64 x y)) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 x y) z) (+.f64 x y)))))
(/.f64 (-.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (pow.f64 (*.f64 z (+.f64 x y)) #s(literal 2 binary64))) (-.f64 (*.f64 x y) (*.f64 z (+.f64 x y))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 x y) #s(literal 3 binary64)) (pow.f64 (*.f64 z (+.f64 x y)) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (*.f64 z (+.f64 x y)) (fma.f64 z (+.f64 x y) (neg.f64 (*.f64 x y))) (pow.f64 (*.f64 x y) #s(literal 2 binary64)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (pow.f64 (*.f64 z (+.f64 x y)) #s(literal 2 binary64)))) (neg.f64 (-.f64 (*.f64 x y) (*.f64 z (+.f64 x y)))))
(/.f64 (+.f64 (pow.f64 (*.f64 x z) #s(literal 3 binary64)) (pow.f64 (*.f64 y (+.f64 x z)) #s(literal 3 binary64))) (fma.f64 (*.f64 x z) (*.f64 x z) (-.f64 (pow.f64 (*.f64 y (+.f64 x z)) #s(literal 2 binary64)) (*.f64 (*.f64 x z) (*.f64 y (+.f64 x z))))))
(/.f64 (-.f64 (pow.f64 (*.f64 z (+.f64 x y)) #s(literal 2 binary64)) (pow.f64 (*.f64 x y) #s(literal 2 binary64))) (fma.f64 z (+.f64 x y) (neg.f64 (*.f64 x y))))
(/.f64 (-.f64 (*.f64 (*.f64 x z) (*.f64 x z)) (pow.f64 (*.f64 y (+.f64 x z)) #s(literal 2 binary64))) (-.f64 (*.f64 x z) (*.f64 y (+.f64 x z))))
(pow.f64 (fma.f64 y (+.f64 x z) (*.f64 x z)) #s(literal 1 binary64))
(pow.f64 (sqrt.f64 (fma.f64 y (+.f64 x z) (*.f64 x z))) #s(literal 2 binary64))
(pow.f64 (cbrt.f64 (fma.f64 y (+.f64 x z) (*.f64 x z))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (fma.f64 y (+.f64 x z) (*.f64 x z)) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (fma.f64 y (+.f64 x z) (*.f64 x z)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(sqrt.f64 (pow.f64 (fma.f64 y (+.f64 x z) (*.f64 x z)) #s(literal 2 binary64)))
(log.f64 (exp.f64 (fma.f64 y (+.f64 x z) (*.f64 x z))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 y (+.f64 x z) (*.f64 x z)))))
(cbrt.f64 (pow.f64 (fma.f64 y (+.f64 x z) (*.f64 x z)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (fma.f64 y (+.f64 x z) (*.f64 x z))))
(log1p.f64 (expm1.f64 (fma.f64 y (+.f64 x z) (*.f64 x z))))
(exp.f64 (log.f64 (fma.f64 y (+.f64 x z) (*.f64 x z))))
(exp.f64 (*.f64 (log.f64 (fma.f64 y (+.f64 x z) (*.f64 x z))) #s(literal 1 binary64)))
(fma.f64 x y (*.f64 z (+.f64 x y)))
(fma.f64 x z (*.f64 y (+.f64 x z)))
(fma.f64 y x (*.f64 z (+.f64 x y)))
(fma.f64 y z (fma.f64 x z (*.f64 x y)))
(fma.f64 y (+.f64 x z) (*.f64 x z))
(fma.f64 (*.f64 x y) #s(literal 1 binary64) (*.f64 z (+.f64 x y)))
(fma.f64 z x (*.f64 y (+.f64 x z)))
(fma.f64 z y (fma.f64 x z (*.f64 x y)))
(fma.f64 z (+.f64 x y) (*.f64 x y))
(fma.f64 (+.f64 x y) z (*.f64 x y))
(fma.f64 (*.f64 z (+.f64 x y)) #s(literal 1 binary64) (*.f64 x y))
(fma.f64 (+.f64 x z) y (*.f64 x z))
(fma.f64 (*.f64 y (+.f64 x z)) #s(literal 1 binary64) (*.f64 x z))
(fma.f64 (*.f64 x z) #s(literal 1 binary64) (*.f64 y (+.f64 x z)))
(fma.f64 #s(literal 1 binary64) (*.f64 x y) (*.f64 z (+.f64 x y)))
(fma.f64 #s(literal 1 binary64) (*.f64 z (+.f64 x y)) (*.f64 x y))
(fma.f64 #s(literal 1 binary64) (*.f64 y (+.f64 x z)) (*.f64 x z))
(fma.f64 #s(literal 1 binary64) (*.f64 x z) (*.f64 y (+.f64 x z)))
(fma.f64 #s(literal 1 binary64) (*.f64 y z) (fma.f64 x z (*.f64 x y)))
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 x z)) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (+.f64 x z)) y) (*.f64 x z))
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 x y)) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (+.f64 x y)) z) (*.f64 x y))
(fma.f64 (cbrt.f64 (*.f64 x y)) (pow.f64 (cbrt.f64 (*.f64 x y)) #s(literal 2 binary64)) (*.f64 z (+.f64 x y)))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 x y)) #s(literal 2 binary64)) (cbrt.f64 (*.f64 x y)) (*.f64 z (+.f64 x y)))
(fma.f64 (cbrt.f64 (*.f64 y (+.f64 x z))) (pow.f64 (cbrt.f64 (*.f64 y (+.f64 x z))) #s(literal 2 binary64)) (*.f64 x z))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 y (+.f64 x z))) #s(literal 2 binary64)) (cbrt.f64 (*.f64 y (+.f64 x z))) (*.f64 x z))
(fma.f64 (cbrt.f64 (*.f64 z (+.f64 x y))) (pow.f64 (cbrt.f64 (*.f64 z (+.f64 x y))) #s(literal 2 binary64)) (*.f64 x y))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 z (+.f64 x y))) #s(literal 2 binary64)) (cbrt.f64 (*.f64 z (+.f64 x y))) (*.f64 x y))
(fma.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) (*.f64 (cbrt.f64 z) y) (fma.f64 x z (*.f64 x y)))
(fma.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) (*.f64 (cbrt.f64 z) x) (*.f64 y (+.f64 x z)))
(fma.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) (*.f64 (cbrt.f64 z) (+.f64 x y)) (*.f64 x y))
(fma.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (*.f64 (cbrt.f64 y) z) (fma.f64 x z (*.f64 x y)))
(fma.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (*.f64 (cbrt.f64 y) x) (*.f64 z (+.f64 x y)))
(fma.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (*.f64 (cbrt.f64 y) (+.f64 x z)) (*.f64 x z))
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (*.f64 (cbrt.f64 x) z) (*.f64 y (+.f64 x z)))
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (*.f64 (cbrt.f64 x) y) (*.f64 z (+.f64 x y)))
(fma.f64 (sqrt.f64 (+.f64 x z)) (*.f64 (sqrt.f64 (+.f64 x z)) y) (*.f64 x z))
(fma.f64 (sqrt.f64 (+.f64 x y)) (*.f64 (sqrt.f64 (+.f64 x y)) z) (*.f64 x y))
(fma.f64 (sqrt.f64 (*.f64 x y)) (sqrt.f64 (*.f64 x y)) (*.f64 z (+.f64 x y)))
(fma.f64 (sqrt.f64 (*.f64 y (+.f64 x z))) (sqrt.f64 (*.f64 y (+.f64 x z))) (*.f64 x z))
(fma.f64 (sqrt.f64 (*.f64 z (+.f64 x y))) (sqrt.f64 (*.f64 z (+.f64 x y))) (*.f64 x y))
(fma.f64 (sqrt.f64 z) (*.f64 (sqrt.f64 z) y) (fma.f64 x z (*.f64 x y)))
(fma.f64 (sqrt.f64 z) (*.f64 (sqrt.f64 z) x) (*.f64 y (+.f64 x z)))
(fma.f64 (sqrt.f64 z) (*.f64 (sqrt.f64 z) (+.f64 x y)) (*.f64 x y))
(fma.f64 (sqrt.f64 y) (*.f64 (sqrt.f64 y) z) (fma.f64 x z (*.f64 x y)))
(fma.f64 (sqrt.f64 y) (*.f64 (sqrt.f64 y) x) (*.f64 z (+.f64 x y)))
(fma.f64 (sqrt.f64 y) (*.f64 (sqrt.f64 y) (+.f64 x z)) (*.f64 x z))
(fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) z) (*.f64 y (+.f64 x z)))
(fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) y) (*.f64 z (+.f64 x y)))
(fma.f64 (*.f64 (cbrt.f64 (*.f64 y z)) (cbrt.f64 (*.f64 y z))) (cbrt.f64 (*.f64 y z)) (fma.f64 x z (*.f64 x y)))
(fma.f64 (*.f64 (cbrt.f64 (*.f64 x z)) (cbrt.f64 (*.f64 x z))) (cbrt.f64 (*.f64 x z)) (*.f64 y (+.f64 x z)))
(fma.f64 (sqrt.f64 (*.f64 y z)) (sqrt.f64 (*.f64 y z)) (fma.f64 x z (*.f64 x y)))
(fma.f64 (sqrt.f64 (*.f64 x z)) (sqrt.f64 (*.f64 x z)) (*.f64 y (+.f64 x z)))
(fma.f64 (*.f64 (sqrt.f64 y) (sqrt.f64 z)) (*.f64 (sqrt.f64 y) (sqrt.f64 z)) (fma.f64 x z (*.f64 x y)))
(fma.f64 (*.f64 (sqrt.f64 z) (sqrt.f64 y)) (*.f64 (sqrt.f64 z) (sqrt.f64 y)) (fma.f64 x z (*.f64 x y)))
(fma.f64 (*.f64 (sqrt.f64 x) (sqrt.f64 z)) (*.f64 (sqrt.f64 x) (sqrt.f64 z)) (*.f64 y (+.f64 x z)))
(fma.f64 (*.f64 (sqrt.f64 z) (sqrt.f64 x)) (*.f64 (sqrt.f64 z) (sqrt.f64 x)) (*.f64 y (+.f64 x z)))
(fma.f64 (*.f64 y (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))) (cbrt.f64 z) (fma.f64 x z (*.f64 x y)))
(fma.f64 (*.f64 y (sqrt.f64 z)) (sqrt.f64 z) (fma.f64 x z (*.f64 x y)))
(fma.f64 (*.f64 z (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (cbrt.f64 y) (fma.f64 x z (*.f64 x y)))
(fma.f64 (*.f64 z (sqrt.f64 y)) (sqrt.f64 y) (fma.f64 x z (*.f64 x y)))
(fma.f64 (*.f64 x (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))) (cbrt.f64 z) (*.f64 y (+.f64 x z)))
(fma.f64 (*.f64 x (sqrt.f64 z)) (sqrt.f64 z) (*.f64 y (+.f64 x z)))
(fma.f64 (*.f64 x (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (cbrt.f64 y) (*.f64 z (+.f64 x y)))
(fma.f64 (*.f64 x (sqrt.f64 y)) (sqrt.f64 y) (*.f64 z (+.f64 x y)))
(fma.f64 (*.f64 y (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 x) (*.f64 z (+.f64 x y)))
(fma.f64 (*.f64 y (sqrt.f64 x)) (sqrt.f64 x) (*.f64 z (+.f64 x y)))
(fma.f64 (*.f64 y (pow.f64 (cbrt.f64 (+.f64 x z)) #s(literal 2 binary64))) (cbrt.f64 (+.f64 x z)) (*.f64 x z))
(fma.f64 (*.f64 y (sqrt.f64 (+.f64 x z))) (sqrt.f64 (+.f64 x z)) (*.f64 x z))
(fma.f64 (*.f64 (+.f64 x z) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (cbrt.f64 y) (*.f64 x z))
(fma.f64 (*.f64 (+.f64 x z) (sqrt.f64 y)) (sqrt.f64 y) (*.f64 x z))
(fma.f64 (*.f64 z (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 x) (*.f64 y (+.f64 x z)))
(fma.f64 (*.f64 z (sqrt.f64 x)) (sqrt.f64 x) (*.f64 y (+.f64 x z)))
(fma.f64 (*.f64 z (pow.f64 (cbrt.f64 (+.f64 x y)) #s(literal 2 binary64))) (cbrt.f64 (+.f64 x y)) (*.f64 x y))
(fma.f64 (*.f64 z (sqrt.f64 (+.f64 x y))) (sqrt.f64 (+.f64 x y)) (*.f64 x y))
(fma.f64 (*.f64 (+.f64 x y) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))) (cbrt.f64 z) (*.f64 x y))
(fma.f64 (*.f64 (+.f64 x y) (sqrt.f64 z)) (sqrt.f64 z) (*.f64 x y))
(+.f64 (*.f64 x z) (*.f64 y z))
(+.f64 (*.f64 y z) (*.f64 x z))
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(/.f64 (+.f64 (pow.f64 (*.f64 x y) #s(literal 3 binary64)) (pow.f64 (*.f64 z (+.f64 x y)) #s(literal 3 binary64))) (fma.f64 (*.f64 z (+.f64 x y)) (fma.f64 z (+.f64 x y) (neg.f64 (*.f64 x y))) (pow.f64 (*.f64 x y) #s(literal 2 binary64))))
(/.f64 (+.f64 (pow.f64 (*.f64 x y) #s(literal 3 binary64)) (pow.f64 (*.f64 z (+.f64 x y)) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 z (+.f64 x y)) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 x y) z) (+.f64 x y)))))
(/.f64 (-.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (pow.f64 (*.f64 z (+.f64 x y)) #s(literal 2 binary64))) (-.f64 (*.f64 x y) (*.f64 z (+.f64 x y))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 x y) #s(literal 3 binary64)) (pow.f64 (*.f64 z (+.f64 x y)) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (*.f64 z (+.f64 x y)) (fma.f64 z (+.f64 x y) (neg.f64 (*.f64 x y))) (pow.f64 (*.f64 x y) #s(literal 2 binary64)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (pow.f64 (*.f64 z (+.f64 x y)) #s(literal 2 binary64)))) (neg.f64 (-.f64 (*.f64 x y) (*.f64 z (+.f64 x y)))))
(/.f64 (+.f64 (pow.f64 (*.f64 x z) #s(literal 3 binary64)) (pow.f64 (*.f64 y (+.f64 x z)) #s(literal 3 binary64))) (fma.f64 (*.f64 x z) (*.f64 x z) (-.f64 (pow.f64 (*.f64 y (+.f64 x z)) #s(literal 2 binary64)) (*.f64 (*.f64 x z) (*.f64 y (+.f64 x z))))))
(/.f64 (-.f64 (pow.f64 (*.f64 z (+.f64 x y)) #s(literal 2 binary64)) (pow.f64 (*.f64 x y) #s(literal 2 binary64))) (fma.f64 z (+.f64 x y) (neg.f64 (*.f64 x y))))
(/.f64 (-.f64 (*.f64 (*.f64 x z) (*.f64 x z)) (pow.f64 (*.f64 y (+.f64 x z)) #s(literal 2 binary64))) (-.f64 (*.f64 x z) (*.f64 y (+.f64 x z))))
(pow.f64 (fma.f64 y (+.f64 x z) (*.f64 x z)) #s(literal 1 binary64))
(pow.f64 (sqrt.f64 (fma.f64 y (+.f64 x z) (*.f64 x z))) #s(literal 2 binary64))
(pow.f64 (cbrt.f64 (fma.f64 y (+.f64 x z) (*.f64 x z))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (fma.f64 y (+.f64 x z) (*.f64 x z)) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (fma.f64 y (+.f64 x z) (*.f64 x z)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(sqrt.f64 (pow.f64 (fma.f64 y (+.f64 x z) (*.f64 x z)) #s(literal 2 binary64)))
(log.f64 (exp.f64 (fma.f64 y (+.f64 x z) (*.f64 x z))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 y (+.f64 x z) (*.f64 x z)))))
(cbrt.f64 (pow.f64 (fma.f64 y (+.f64 x z) (*.f64 x z)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (fma.f64 y (+.f64 x z) (*.f64 x z))))
(log1p.f64 (expm1.f64 (fma.f64 y (+.f64 x z) (*.f64 x z))))
(exp.f64 (log.f64 (fma.f64 y (+.f64 x z) (*.f64 x z))))
(exp.f64 (*.f64 (log.f64 (fma.f64 y (+.f64 x z) (*.f64 x z))) #s(literal 1 binary64)))

simplify454.0ms (2.6%)

Algorithm
egg-herbie
Rules
1670×associate-*r*
1206×fma-define
806×distribute-lft-in
786×distribute-rgt-in
738×fma-neg
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
090729882
1247828902
2718828902
Stop Event
node limit
Counts
535 → 505
Calls
Call 1
Inputs
(sqrt.f64 (*.f64 y z))
(+.f64 (sqrt.f64 (*.f64 y z)) (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x (+.f64 y z)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 y z))))))
(+.f64 (sqrt.f64 (*.f64 y z)) (*.f64 x (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 x (pow.f64 (+.f64 y z) #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))))))) (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 y z))) (+.f64 y z))))))
(+.f64 (sqrt.f64 (*.f64 y z)) (*.f64 x (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 y z))) (+.f64 y z))) (*.f64 x (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))))) (pow.f64 (+.f64 y z) #s(literal 2 binary64)))) (*.f64 #s(literal 1/16 binary64) (*.f64 (*.f64 x (pow.f64 (+.f64 y z) #s(literal 3 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 y #s(literal 5 binary64)) (pow.f64 z #s(literal 5 binary64))))))))))))
(sqrt.f64 (*.f64 x (+.f64 y z)))
(*.f64 x (+.f64 (sqrt.f64 (/.f64 (+.f64 y z) x)) (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 y z)))) (*.f64 y z)))))
(*.f64 x (+.f64 (sqrt.f64 (/.f64 (+.f64 y z) x)) (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 5 binary64)) (pow.f64 (+.f64 y z) #s(literal 3 binary64))))) (*.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))) (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 y z)))) (*.f64 y z))))))
(*.f64 x (+.f64 (sqrt.f64 (/.f64 (+.f64 y z) x)) (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 5 binary64)) (pow.f64 (+.f64 y z) #s(literal 3 binary64))))) (*.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))) (+.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 7 binary64)) (pow.f64 (+.f64 y z) #s(literal 5 binary64))))) (*.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))))) (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 y z)))) (*.f64 y z)))))))
(*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) y) (*.f64 #s(literal -1 binary64) z)))) (sqrt.f64 #s(literal -1 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) y) (*.f64 #s(literal -1 binary64) z))))) (*.f64 y (*.f64 z (sqrt.f64 #s(literal -1 binary64)))))) (*.f64 (sqrt.f64 (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) y) (*.f64 #s(literal -1 binary64) z)) x)) (sqrt.f64 #s(literal -1 binary64))))))
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 5 binary64)) (pow.f64 (+.f64 (*.f64 #s(literal -1 binary64) y) (*.f64 #s(literal -1 binary64) z)) #s(literal 3 binary64))))) (*.f64 (pow.f64 y #s(literal 2 binary64)) (*.f64 (pow.f64 z #s(literal 2 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 x #s(literal 3 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) y) (*.f64 #s(literal -1 binary64) z))))) (*.f64 y (*.f64 z (sqrt.f64 #s(literal -1 binary64)))))) (*.f64 (sqrt.f64 (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) y) (*.f64 #s(literal -1 binary64) z)) x)) (sqrt.f64 #s(literal -1 binary64)))))))
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 5 binary64)) (pow.f64 (+.f64 (*.f64 #s(literal -1 binary64) y) (*.f64 #s(literal -1 binary64) z)) #s(literal 3 binary64))))) (*.f64 (pow.f64 y #s(literal 2 binary64)) (*.f64 (pow.f64 z #s(literal 2 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 x #s(literal 7 binary64)) (pow.f64 (+.f64 (*.f64 #s(literal -1 binary64) y) (*.f64 #s(literal -1 binary64) z)) #s(literal 5 binary64))))) (*.f64 (pow.f64 y #s(literal 3 binary64)) (*.f64 (pow.f64 z #s(literal 3 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 x #s(literal 3 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) y) (*.f64 #s(literal -1 binary64) z))))) (*.f64 y (*.f64 z (sqrt.f64 #s(literal -1 binary64)))))) (*.f64 (sqrt.f64 (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) y) (*.f64 #s(literal -1 binary64) z)) x)) (sqrt.f64 #s(literal -1 binary64))))))))
(sqrt.f64 (*.f64 x z))
(+.f64 (sqrt.f64 (*.f64 x z)) (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x z))) (*.f64 y (+.f64 x z)))))
(+.f64 (sqrt.f64 (*.f64 x z)) (*.f64 y (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))))) (*.f64 y (pow.f64 (+.f64 x z) #s(literal 2 binary64))))) (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x z))) (+.f64 x z))))))
(+.f64 (sqrt.f64 (*.f64 x z)) (*.f64 y (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x z))) (+.f64 x z))) (*.f64 y (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))))) (pow.f64 (+.f64 x z) #s(literal 2 binary64)))) (*.f64 #s(literal 1/16 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 5 binary64)) (pow.f64 z #s(literal 5 binary64))))) (*.f64 y (pow.f64 (+.f64 x z) #s(literal 3 binary64))))))))))
(sqrt.f64 (*.f64 y (+.f64 x z)))
(*.f64 y (+.f64 (sqrt.f64 (/.f64 (+.f64 x z) y)) (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x z) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 y #s(literal 3 binary64)) (+.f64 x z))))))))
(*.f64 y (+.f64 (sqrt.f64 (/.f64 (+.f64 x z) y)) (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 y #s(literal 5 binary64)) (pow.f64 (+.f64 x z) #s(literal 3 binary64))))))) (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x z) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 y #s(literal 3 binary64)) (+.f64 x z)))))))))
(*.f64 y (+.f64 (sqrt.f64 (/.f64 (+.f64 x z) y)) (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 y #s(literal 5 binary64)) (pow.f64 (+.f64 x z) #s(literal 3 binary64))))))) (+.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 y #s(literal 7 binary64)) (pow.f64 (+.f64 x z) #s(literal 5 binary64))))))) (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x z) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 y #s(literal 3 binary64)) (+.f64 x z))))))))))
(*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1 binary64) z)))) (sqrt.f64 #s(literal -1 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x (*.f64 z (sqrt.f64 #s(literal -1 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 y #s(literal 3 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1 binary64) z))))))) (*.f64 (sqrt.f64 (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1 binary64) z)) y)) (sqrt.f64 #s(literal -1 binary64))))))
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 (pow.f64 z #s(literal 2 binary64)) (sqrt.f64 #s(literal -1 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 y #s(literal 5 binary64)) (pow.f64 (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1 binary64) z)) #s(literal 3 binary64))))))) (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x (*.f64 z (sqrt.f64 #s(literal -1 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 y #s(literal 3 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1 binary64) z))))))) (*.f64 (sqrt.f64 (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1 binary64) z)) y)) (sqrt.f64 #s(literal -1 binary64)))))))
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 (pow.f64 z #s(literal 2 binary64)) (sqrt.f64 #s(literal -1 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 y #s(literal 5 binary64)) (pow.f64 (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1 binary64) z)) #s(literal 3 binary64))))))) (+.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (*.f64 (pow.f64 z #s(literal 3 binary64)) (sqrt.f64 #s(literal -1 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 y #s(literal 7 binary64)) (pow.f64 (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1 binary64) z)) #s(literal 5 binary64))))))) (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x (*.f64 z (sqrt.f64 #s(literal -1 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 y #s(literal 3 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1 binary64) z))))))) (*.f64 (sqrt.f64 (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1 binary64) z)) y)) (sqrt.f64 #s(literal -1 binary64))))))))
(sqrt.f64 (*.f64 x y))
(+.f64 (sqrt.f64 (*.f64 x y)) (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x y))) (*.f64 z (+.f64 x y)))))
(+.f64 (sqrt.f64 (*.f64 x y)) (*.f64 z (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))) (*.f64 z (pow.f64 (+.f64 x y) #s(literal 2 binary64))))) (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x y))) (+.f64 x y))))))
(+.f64 (sqrt.f64 (*.f64 x y)) (*.f64 z (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x y))) (+.f64 x y))) (*.f64 z (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))) (pow.f64 (+.f64 x y) #s(literal 2 binary64)))) (*.f64 #s(literal 1/16 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 5 binary64)) (pow.f64 y #s(literal 5 binary64))))) (*.f64 z (pow.f64 (+.f64 x y) #s(literal 3 binary64))))))))))
(sqrt.f64 (*.f64 z (+.f64 x y)))
(*.f64 z (+.f64 (sqrt.f64 (/.f64 (+.f64 x y) z)) (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x y) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 z #s(literal 3 binary64)) (+.f64 x y))))))))
(*.f64 z (+.f64 (sqrt.f64 (/.f64 (+.f64 x y) z)) (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 z #s(literal 5 binary64)) (pow.f64 (+.f64 x y) #s(literal 3 binary64))))))) (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x y) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 z #s(literal 3 binary64)) (+.f64 x y)))))))))
(*.f64 z (+.f64 (sqrt.f64 (/.f64 (+.f64 x y) z)) (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 z #s(literal 5 binary64)) (pow.f64 (+.f64 x y) #s(literal 3 binary64))))))) (+.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 z #s(literal 7 binary64)) (pow.f64 (+.f64 x y) #s(literal 5 binary64))))))) (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x y) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 z #s(literal 3 binary64)) (+.f64 x y))))))))))
(*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 (*.f64 z (+.f64 x y))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))
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(sqrt.f64 (pow.f64 (*.f64 y (+.f64 x z)) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 y) (+.f64 x z)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 y (+.f64 x z)))))
(cbrt.f64 (pow.f64 (*.f64 y (+.f64 x z)) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 (+.f64 x z) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (+.f64 x z) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 y (+.f64 x z))))
(log1p.f64 (expm1.f64 (*.f64 y (+.f64 x z))))
(exp.f64 (log.f64 (*.f64 y (+.f64 x z))))
(exp.f64 (*.f64 (log.f64 (*.f64 y (+.f64 x z))) #s(literal 1 binary64)))
(fma.f64 x y (*.f64 y z))
(fma.f64 x y (*.f64 (*.f64 y z) #s(literal 1 binary64)))
(fma.f64 y x (*.f64 y z))
(fma.f64 y x (*.f64 (*.f64 y z) #s(literal 1 binary64)))
(fma.f64 y z (*.f64 x y))
(fma.f64 (*.f64 x y) #s(literal 1 binary64) (*.f64 y z))
(fma.f64 (*.f64 x y) #s(literal 1 binary64) (*.f64 (*.f64 y z) #s(literal 1 binary64)))
(fma.f64 z y (*.f64 x y))
(fma.f64 #s(literal 1 binary64) (*.f64 x y) (*.f64 y z))
(fma.f64 #s(literal 1 binary64) (*.f64 x y) (*.f64 (*.f64 y z) #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) (*.f64 y z) (*.f64 x y))
(fma.f64 (cbrt.f64 (*.f64 x y)) (pow.f64 (cbrt.f64 (*.f64 x y)) #s(literal 2 binary64)) (*.f64 y z))
(fma.f64 (cbrt.f64 (*.f64 x y)) (pow.f64 (cbrt.f64 (*.f64 x y)) #s(literal 2 binary64)) (*.f64 (*.f64 y z) #s(literal 1 binary64)))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 x y)) #s(literal 2 binary64)) (cbrt.f64 (*.f64 x y)) (*.f64 y z))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 x y)) #s(literal 2 binary64)) (cbrt.f64 (*.f64 x y)) (*.f64 (*.f64 y z) #s(literal 1 binary64)))
(fma.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) (*.f64 (cbrt.f64 z) y) (*.f64 x y))
(fma.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (*.f64 (cbrt.f64 y) z) (*.f64 x y))
(fma.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (*.f64 (cbrt.f64 y) x) (*.f64 y z))
(fma.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (*.f64 (cbrt.f64 y) x) (*.f64 (*.f64 y z) #s(literal 1 binary64)))
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (*.f64 (cbrt.f64 x) y) (*.f64 y z))
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (*.f64 (cbrt.f64 x) y) (*.f64 (*.f64 y z) #s(literal 1 binary64)))
(fma.f64 (sqrt.f64 (*.f64 x y)) (sqrt.f64 (*.f64 x y)) (*.f64 y z))
(fma.f64 (sqrt.f64 (*.f64 x y)) (sqrt.f64 (*.f64 x y)) (*.f64 (*.f64 y z) #s(literal 1 binary64)))
(fma.f64 (sqrt.f64 z) (*.f64 (sqrt.f64 z) y) (*.f64 x y))
(fma.f64 (sqrt.f64 y) (*.f64 (sqrt.f64 y) z) (*.f64 x y))
(fma.f64 (sqrt.f64 y) (*.f64 (sqrt.f64 y) x) (*.f64 y z))
(fma.f64 (sqrt.f64 y) (*.f64 (sqrt.f64 y) x) (*.f64 (*.f64 y z) #s(literal 1 binary64)))
(fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) y) (*.f64 y z))
(fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) y) (*.f64 (*.f64 y z) #s(literal 1 binary64)))
(fma.f64 (*.f64 (cbrt.f64 (*.f64 y z)) (cbrt.f64 (*.f64 y z))) (cbrt.f64 (*.f64 y z)) (*.f64 x y))
(fma.f64 (sqrt.f64 (*.f64 y z)) (sqrt.f64 (*.f64 y z)) (*.f64 x y))
(fma.f64 (*.f64 (sqrt.f64 y) (sqrt.f64 z)) (*.f64 (sqrt.f64 y) (sqrt.f64 z)) (*.f64 x y))
(fma.f64 (*.f64 (sqrt.f64 z) (sqrt.f64 y)) (*.f64 (sqrt.f64 z) (sqrt.f64 y)) (*.f64 x y))
(fma.f64 (*.f64 y (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))) (cbrt.f64 z) (*.f64 x y))
(fma.f64 (*.f64 y (sqrt.f64 z)) (sqrt.f64 z) (*.f64 x y))
(fma.f64 (*.f64 z (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (cbrt.f64 y) (*.f64 x y))
(fma.f64 (*.f64 z (sqrt.f64 y)) (sqrt.f64 y) (*.f64 x y))
(fma.f64 (*.f64 x (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (cbrt.f64 y) (*.f64 y z))
(fma.f64 (*.f64 x (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (cbrt.f64 y) (*.f64 (*.f64 y z) #s(literal 1 binary64)))
(fma.f64 (*.f64 x (sqrt.f64 y)) (sqrt.f64 y) (*.f64 y z))
(fma.f64 (*.f64 x (sqrt.f64 y)) (sqrt.f64 y) (*.f64 (*.f64 y z) #s(literal 1 binary64)))
(fma.f64 (*.f64 y (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 x) (*.f64 y z))
(fma.f64 (*.f64 y (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 x) (*.f64 (*.f64 y z) #s(literal 1 binary64)))
(fma.f64 (*.f64 y (sqrt.f64 x)) (sqrt.f64 x) (*.f64 y z))
(fma.f64 (*.f64 y (sqrt.f64 x)) (sqrt.f64 x) (*.f64 (*.f64 y z) #s(literal 1 binary64)))
(+.f64 (*.f64 x y) (*.f64 z (+.f64 x y)))
(+.f64 (*.f64 z (+.f64 x y)) (*.f64 x y))
(+.f64 (*.f64 y (+.f64 x z)) (*.f64 x z))
(+.f64 (*.f64 x z) (*.f64 y (+.f64 x z)))
(+.f64 (*.f64 y z) (fma.f64 x z (*.f64 x y)))
(+.f64 (*.f64 (*.f64 x z) #s(literal 1 binary64)) (*.f64 y (+.f64 x z)))
(+.f64 (fma.f64 x z (*.f64 x y)) (*.f64 y z))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 y (+.f64 x z) (*.f64 x z)))) #s(literal 1 binary64))
(-.f64 (/.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (-.f64 (*.f64 x y) (*.f64 z (+.f64 x y)))) (/.f64 (pow.f64 (*.f64 z (+.f64 x y)) #s(literal 2 binary64)) (-.f64 (*.f64 x y) (*.f64 z (+.f64 x y)))))
(*.f64 (fma.f64 y (+.f64 x z) (*.f64 x z)) #s(literal 1 binary64))
(*.f64 (sqrt.f64 (fma.f64 y (+.f64 x z) (*.f64 x z))) (sqrt.f64 (fma.f64 y (+.f64 x z) (*.f64 x z))))
(*.f64 #s(literal 1 binary64) (fma.f64 y (+.f64 x z) (*.f64 x z)))
(*.f64 (cbrt.f64 (fma.f64 y (+.f64 x z) (*.f64 x z))) (pow.f64 (cbrt.f64 (fma.f64 y (+.f64 x z) (*.f64 x z))) #s(literal 2 binary64)))
(*.f64 (cbrt.f64 (fma.f64 y (+.f64 x z) (*.f64 x z))) (*.f64 (cbrt.f64 (sqrt.f64 (fma.f64 y (+.f64 x z) (*.f64 x z)))) (sqrt.f64 (fma.f64 y (+.f64 x z) (*.f64 x z)))))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 y (+.f64 x z) (*.f64 x z))) #s(literal 2 binary64)) (cbrt.f64 (fma.f64 y (+.f64 x z) (*.f64 x z))))
(*.f64 (pow.f64 (fma.f64 y (+.f64 x z) (*.f64 x z)) #s(literal 1/4 binary64)) (*.f64 (pow.f64 (fma.f64 y (+.f64 x z) (*.f64 x z)) #s(literal 1/4 binary64)) (sqrt.f64 (fma.f64 y (+.f64 x z) (*.f64 x z)))))
(*.f64 (+.f64 (pow.f64 (*.f64 x y) #s(literal 3 binary64)) (pow.f64 (*.f64 z (+.f64 x y)) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 z (+.f64 x y)) (fma.f64 z (+.f64 x y) (neg.f64 (*.f64 x y))) (pow.f64 (*.f64 x y) #s(literal 2 binary64)))))
(*.f64 (-.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (pow.f64 (*.f64 z (+.f64 x y)) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x y) (*.f64 z (+.f64 x y)))))
(*.f64 (*.f64 (sqrt.f64 (fma.f64 y (+.f64 x z) (*.f64 x z))) (pow.f64 (fma.f64 y (+.f64 x z) (*.f64 x z)) #s(literal 1/4 binary64))) (pow.f64 (fma.f64 y (+.f64 x z) (*.f64 x z)) #s(literal 1/4 binary64)))
(*.f64 (*.f64 (sqrt.f64 (fma.f64 y (+.f64 x z) (*.f64 x z))) (cbrt.f64 (fma.f64 y (+.f64 x z) (*.f64 x z)))) (cbrt.f64 (sqrt.f64 (fma.f64 y (+.f64 x z) (*.f64 x z)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 z (+.f64 x y)) (fma.f64 z (+.f64 x y) (neg.f64 (*.f64 x y))) (pow.f64 (*.f64 x y) #s(literal 2 binary64))) (+.f64 (pow.f64 (*.f64 x y) #s(literal 3 binary64)) (pow.f64 (*.f64 z (+.f64 x y)) #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 x y) (*.f64 z (+.f64 x y))) (-.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (pow.f64 (*.f64 z (+.f64 x y)) #s(literal 2 binary64)))))
(/.f64 (+.f64 (pow.f64 (*.f64 x y) #s(literal 3 binary64)) (pow.f64 (*.f64 z (+.f64 x y)) #s(literal 3 binary64))) (fma.f64 (*.f64 z (+.f64 x y)) (fma.f64 z (+.f64 x y) (neg.f64 (*.f64 x y))) (pow.f64 (*.f64 x y) #s(literal 2 binary64))))
(/.f64 (+.f64 (pow.f64 (*.f64 x y) #s(literal 3 binary64)) (pow.f64 (*.f64 z (+.f64 x y)) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 z (+.f64 x y)) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 x y) z) (+.f64 x y)))))
(/.f64 (-.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (pow.f64 (*.f64 z (+.f64 x y)) #s(literal 2 binary64))) (-.f64 (*.f64 x y) (*.f64 z (+.f64 x y))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 x y) #s(literal 3 binary64)) (pow.f64 (*.f64 z (+.f64 x y)) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (*.f64 z (+.f64 x y)) (fma.f64 z (+.f64 x y) (neg.f64 (*.f64 x y))) (pow.f64 (*.f64 x y) #s(literal 2 binary64)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (pow.f64 (*.f64 z (+.f64 x y)) #s(literal 2 binary64)))) (neg.f64 (-.f64 (*.f64 x y) (*.f64 z (+.f64 x y)))))
(/.f64 (+.f64 (pow.f64 (*.f64 x z) #s(literal 3 binary64)) (pow.f64 (*.f64 y (+.f64 x z)) #s(literal 3 binary64))) (fma.f64 (*.f64 x z) (*.f64 x z) (-.f64 (pow.f64 (*.f64 y (+.f64 x z)) #s(literal 2 binary64)) (*.f64 (*.f64 x z) (*.f64 y (+.f64 x z))))))
(/.f64 (-.f64 (pow.f64 (*.f64 z (+.f64 x y)) #s(literal 2 binary64)) (pow.f64 (*.f64 x y) #s(literal 2 binary64))) (fma.f64 z (+.f64 x y) (neg.f64 (*.f64 x y))))
(/.f64 (-.f64 (*.f64 (*.f64 x z) (*.f64 x z)) (pow.f64 (*.f64 y (+.f64 x z)) #s(literal 2 binary64))) (-.f64 (*.f64 x z) (*.f64 y (+.f64 x z))))
(pow.f64 (fma.f64 y (+.f64 x z) (*.f64 x z)) #s(literal 1 binary64))
(pow.f64 (sqrt.f64 (fma.f64 y (+.f64 x z) (*.f64 x z))) #s(literal 2 binary64))
(pow.f64 (cbrt.f64 (fma.f64 y (+.f64 x z) (*.f64 x z))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (fma.f64 y (+.f64 x z) (*.f64 x z)) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (fma.f64 y (+.f64 x z) (*.f64 x z)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(sqrt.f64 (pow.f64 (fma.f64 y (+.f64 x z) (*.f64 x z)) #s(literal 2 binary64)))
(log.f64 (exp.f64 (fma.f64 y (+.f64 x z) (*.f64 x z))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 y (+.f64 x z) (*.f64 x z)))))
(cbrt.f64 (pow.f64 (fma.f64 y (+.f64 x z) (*.f64 x z)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (fma.f64 y (+.f64 x z) (*.f64 x z))))
(log1p.f64 (expm1.f64 (fma.f64 y (+.f64 x z) (*.f64 x z))))
(exp.f64 (log.f64 (fma.f64 y (+.f64 x z) (*.f64 x z))))
(exp.f64 (*.f64 (log.f64 (fma.f64 y (+.f64 x z) (*.f64 x z))) #s(literal 1 binary64)))
Outputs
(sqrt.f64 (*.f64 y z))
(+.f64 (sqrt.f64 (*.f64 y z)) (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x (+.f64 y z)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 y z))))))
(+.f64 (sqrt.f64 (*.f64 y z)) (*.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 (+.f64 y z) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 y z)))))))
(fma.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 (+.f64 y z) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 y z))))) (sqrt.f64 (*.f64 y z)))
(+.f64 (sqrt.f64 (*.f64 y z)) (*.f64 x (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 x (pow.f64 (+.f64 y z) #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))))))) (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 y z))) (+.f64 y z))))))
(+.f64 (sqrt.f64 (*.f64 y z)) (*.f64 x (fma.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 x (pow.f64 (+.f64 y z) #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y z) #s(literal 3 binary64))))) (*.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 y z) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 y z))))))))
(fma.f64 x (fma.f64 (*.f64 (*.f64 #s(literal -1/8 binary64) (pow.f64 (+.f64 y z) #s(literal 2 binary64))) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y z) #s(literal 3 binary64)))) (*.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 y z)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 y z))))) (sqrt.f64 (*.f64 y z)))
(+.f64 (sqrt.f64 (*.f64 y z)) (*.f64 x (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 y z))) (+.f64 y z))) (*.f64 x (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))))) (pow.f64 (+.f64 y z) #s(literal 2 binary64)))) (*.f64 #s(literal 1/16 binary64) (*.f64 (*.f64 x (pow.f64 (+.f64 y z) #s(literal 3 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 y #s(literal 5 binary64)) (pow.f64 z #s(literal 5 binary64))))))))))))
(+.f64 (sqrt.f64 (*.f64 y z)) (*.f64 x (fma.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 y z) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 y z)))) (*.f64 x (fma.f64 #s(literal -1/8 binary64) (*.f64 (pow.f64 (+.f64 y z) #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y z) #s(literal 3 binary64))))) (*.f64 #s(literal 1/16 binary64) (*.f64 x (*.f64 (pow.f64 (+.f64 y z) #s(literal 3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 y #s(literal 5 binary64)) (pow.f64 z #s(literal 5 binary64)))))))))))))
(fma.f64 x (fma.f64 x (fma.f64 #s(literal -1/8 binary64) (*.f64 (pow.f64 (+.f64 y z) #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y z) #s(literal 3 binary64))))) (*.f64 (*.f64 (*.f64 #s(literal 1/16 binary64) x) (pow.f64 (+.f64 y z) #s(literal 3 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 y #s(literal 5 binary64)) (pow.f64 z #s(literal 5 binary64))))))) (*.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 y z)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 y z))))) (sqrt.f64 (*.f64 y z)))
(sqrt.f64 (*.f64 x (+.f64 y z)))
(*.f64 x (+.f64 (sqrt.f64 (/.f64 (+.f64 y z) x)) (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 y z)))) (*.f64 y z)))))
(*.f64 x (+.f64 (sqrt.f64 (/.f64 (+.f64 y z) x)) (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 y z) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 y z) (pow.f64 x #s(literal 3 binary64)))))))))
(*.f64 x (fma.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 y z) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 y z) (pow.f64 x #s(literal 3 binary64)))))) (sqrt.f64 (/.f64 (+.f64 y z) x))))
(*.f64 x (+.f64 (sqrt.f64 (/.f64 (+.f64 y z) x)) (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 5 binary64)) (pow.f64 (+.f64 y z) #s(literal 3 binary64))))) (*.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))) (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 y z)))) (*.f64 y z))))))
(*.f64 x (+.f64 (sqrt.f64 (/.f64 (+.f64 y z) x)) (fma.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (+.f64 y z) #s(literal 3 binary64)) (pow.f64 x #s(literal 5 binary64))))) (*.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 y z) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 y z) (pow.f64 x #s(literal 3 binary64))))))))))
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(*.f64 #s(literal 1 binary64) (/.f64 (+.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) (pow.f64 (*.f64 z (+.f64 y x)) #s(literal 3 binary64))) (fma.f64 (*.f64 z (+.f64 y x)) (+.f64 (*.f64 z x) (*.f64 y (-.f64 z x))) (pow.f64 (*.f64 y x) #s(literal 2 binary64)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (pow.f64 (*.f64 z (+.f64 x y)) #s(literal 2 binary64)))) (neg.f64 (-.f64 (*.f64 x y) (*.f64 z (+.f64 x y)))))
(neg.f64 (/.f64 (-.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (pow.f64 (*.f64 z (+.f64 y x)) #s(literal 2 binary64))) (neg.f64 (-.f64 (*.f64 y x) (*.f64 z (+.f64 y x))))))
(/.f64 (-.f64 (pow.f64 (*.f64 z (+.f64 y x)) #s(literal 2 binary64)) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) (+.f64 (*.f64 z x) (*.f64 y (-.f64 z x))))
(/.f64 (+.f64 (pow.f64 (*.f64 x z) #s(literal 3 binary64)) (pow.f64 (*.f64 y (+.f64 x z)) #s(literal 3 binary64))) (fma.f64 (*.f64 x z) (*.f64 x z) (-.f64 (pow.f64 (*.f64 y (+.f64 x z)) #s(literal 2 binary64)) (*.f64 (*.f64 x z) (*.f64 y (+.f64 x z))))))
(/.f64 (+.f64 (pow.f64 (*.f64 z x) #s(literal 3 binary64)) (pow.f64 (*.f64 y (+.f64 z x)) #s(literal 3 binary64))) (+.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) (-.f64 (pow.f64 (*.f64 y (+.f64 z x)) #s(literal 2 binary64)) (*.f64 x (*.f64 z (*.f64 y (+.f64 z x)))))))
(/.f64 (+.f64 (pow.f64 (*.f64 z x) #s(literal 3 binary64)) (pow.f64 (*.f64 y (+.f64 z x)) #s(literal 3 binary64))) (fma.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)) (*.f64 (*.f64 y (+.f64 z x)) (-.f64 (*.f64 y (+.f64 z x)) (*.f64 z x)))))
(/.f64 (+.f64 (pow.f64 (*.f64 z x) #s(literal 3 binary64)) (pow.f64 (*.f64 y (+.f64 z x)) #s(literal 3 binary64))) (fma.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)) (*.f64 (*.f64 y (+.f64 z x)) (fma.f64 y (+.f64 z x) (neg.f64 (*.f64 z x))))))
(/.f64 (-.f64 (pow.f64 (*.f64 z (+.f64 x y)) #s(literal 2 binary64)) (pow.f64 (*.f64 x y) #s(literal 2 binary64))) (fma.f64 z (+.f64 x y) (neg.f64 (*.f64 x y))))
(neg.f64 (/.f64 (-.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (pow.f64 (*.f64 z (+.f64 y x)) #s(literal 2 binary64))) (neg.f64 (-.f64 (*.f64 y x) (*.f64 z (+.f64 y x))))))
(/.f64 (-.f64 (pow.f64 (*.f64 z (+.f64 y x)) #s(literal 2 binary64)) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) (+.f64 (*.f64 z x) (*.f64 y (-.f64 z x))))
(/.f64 (-.f64 (*.f64 (*.f64 x z) (*.f64 x z)) (pow.f64 (*.f64 y (+.f64 x z)) #s(literal 2 binary64))) (-.f64 (*.f64 x z) (*.f64 y (+.f64 x z))))
(/.f64 (-.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) (pow.f64 (*.f64 y (+.f64 z x)) #s(literal 2 binary64))) (-.f64 (*.f64 z x) (*.f64 y (+.f64 z x))))
(pow.f64 (fma.f64 y (+.f64 x z) (*.f64 x z)) #s(literal 1 binary64))
(fma.f64 x (+.f64 y z) (*.f64 y z))
(fma.f64 y x (*.f64 z (+.f64 y x)))
(pow.f64 (sqrt.f64 (fma.f64 y (+.f64 x z) (*.f64 x z))) #s(literal 2 binary64))
(fma.f64 x (+.f64 y z) (*.f64 y z))
(fma.f64 y x (*.f64 z (+.f64 y x)))
(pow.f64 (cbrt.f64 (fma.f64 y (+.f64 x z) (*.f64 x z))) #s(literal 3 binary64))
(fma.f64 x (+.f64 y z) (*.f64 y z))
(fma.f64 y x (*.f64 z (+.f64 y x)))
(pow.f64 (pow.f64 (fma.f64 y (+.f64 x z) (*.f64 x z)) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(fma.f64 x (+.f64 y z) (*.f64 y z))
(fma.f64 y x (*.f64 z (+.f64 y x)))
(pow.f64 (pow.f64 (fma.f64 y (+.f64 x z) (*.f64 x z)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(fma.f64 x (+.f64 y z) (*.f64 y z))
(fma.f64 y x (*.f64 z (+.f64 y x)))
(sqrt.f64 (pow.f64 (fma.f64 y (+.f64 x z) (*.f64 x z)) #s(literal 2 binary64)))
(fma.f64 x (+.f64 y z) (*.f64 y z))
(fma.f64 y x (*.f64 z (+.f64 y x)))
(log.f64 (exp.f64 (fma.f64 y (+.f64 x z) (*.f64 x z))))
(fma.f64 x (+.f64 y z) (*.f64 y z))
(fma.f64 y x (*.f64 z (+.f64 y x)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 y (+.f64 x z) (*.f64 x z)))))
(fma.f64 x (+.f64 y z) (*.f64 y z))
(fma.f64 y x (*.f64 z (+.f64 y x)))
(cbrt.f64 (pow.f64 (fma.f64 y (+.f64 x z) (*.f64 x z)) #s(literal 3 binary64)))
(fma.f64 x (+.f64 y z) (*.f64 y z))
(fma.f64 y x (*.f64 z (+.f64 y x)))
(expm1.f64 (log1p.f64 (fma.f64 y (+.f64 x z) (*.f64 x z))))
(expm1.f64 (log1p.f64 (fma.f64 y (+.f64 z x) (*.f64 z x))))
(expm1.f64 (log1p.f64 (fma.f64 y x (*.f64 z (+.f64 y x)))))
(log1p.f64 (expm1.f64 (fma.f64 y (+.f64 x z) (*.f64 x z))))
(fma.f64 x (+.f64 y z) (*.f64 y z))
(fma.f64 y x (*.f64 z (+.f64 y x)))
(exp.f64 (log.f64 (fma.f64 y (+.f64 x z) (*.f64 x z))))
(fma.f64 x (+.f64 y z) (*.f64 y z))
(fma.f64 y x (*.f64 z (+.f64 y x)))
(exp.f64 (*.f64 (log.f64 (fma.f64 y (+.f64 x z) (*.f64 x z))) #s(literal 1 binary64)))
(fma.f64 x (+.f64 y z) (*.f64 y z))
(fma.f64 y x (*.f64 z (+.f64 y x)))

eval238.0ms (1.4%)

Compiler

Compiled 12423 to 6157 computations (50.4% saved)

prune131.0ms (0.7%)

Pruning

18 alts after pruning (17 fresh and 1 done)

PrunedKeptTotal
New48817505
Fresh000
Picked112
Done000
Total48918507
Accuracy
80.6%
Counts
507 → 18
Alt Table
Click to see full alt table
StatusAccuracyProgram
63.2%
(*.f64 #s(literal 2 binary64) (pow.f64 (pow.f64 (fma.f64 y (+.f64 x z) (*.f64 x z)) #s(literal 1/4 binary64)) #s(literal 2 binary64)))
62.2%
(*.f64 #s(literal 2 binary64) (pow.f64 (cbrt.f64 (sqrt.f64 (fma.f64 y (+.f64 x z) (*.f64 x z)))) #s(literal 3 binary64)))
28.1%
(*.f64 #s(literal 2 binary64) (+.f64 (sqrt.f64 (*.f64 y z)) (*.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 (+.f64 y z) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 y z))))))))
62.7%
(*.f64 #s(literal 2 binary64) (*.f64 (fabs.f64 (cbrt.f64 (fma.f64 y x (*.f64 z (+.f64 y x))))) (sqrt.f64 (cbrt.f64 (fma.f64 y x (*.f64 z (+.f64 y x)))))))
38.0%
(*.f64 #s(literal 2 binary64) (*.f64 z (+.f64 (sqrt.f64 (/.f64 (+.f64 y x) z)) (*.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 z #s(literal 3 binary64)) (+.f64 y x))))))))))
35.3%
(*.f64 #s(literal 2 binary64) (*.f64 y (fma.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 z (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 y #s(literal 3 binary64)) (+.f64 z x)))))) (sqrt.f64 (/.f64 (+.f64 z x) y)))))
33.0%
(*.f64 #s(literal 2 binary64) (*.f64 y (+.f64 (sqrt.f64 (/.f64 (+.f64 z x) y)) (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 z x) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 y #s(literal 3 binary64)) (+.f64 z x)))))))))
63.0%
(*.f64 #s(literal 2 binary64) (sqrt.f64 (fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (*.f64 (cbrt.f64 x) y) (*.f64 z (+.f64 x y)))))
32.7%
(*.f64 #s(literal 2 binary64) (sqrt.f64 (fma.f64 x z (/.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y) (-.f64 x z)))))
63.3%
(*.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (*.f64 x y) (*.f64 z (+.f64 y x)))))
29.5%
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 z (+.f64 y x))))
52.6%
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 z (+.f64 x (+.f64 y (*.f64 x (/.f64 y z)))))))
3.2%
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 z x)))
28.7%
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 y z)))
36.3%
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 y x)))
48.4%
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 x (+.f64 y (+.f64 z (*.f64 y (/.f64 z x)))))))
37.1%
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 x (+.f64 y z))))
43.4%
(*.f64 #s(literal 2 binary64) (cbrt.f64 (pow.f64 (fma.f64 y (+.f64 z x) (*.f64 z x)) #s(literal 3/2 binary64))))
Compiler

Compiled 643 to 428 computations (33.4% saved)

localize478.0ms (2.7%)

Localize:

Found 11 expressions with local error:

NewAccuracyProgram
100.0%
(fma.f64 x z (/.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y) (-.f64 x z)))
98.1%
(*.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y)
87.9%
(/.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y) (-.f64 x z))
82.0%
(sqrt.f64 (fma.f64 x z (/.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y) (-.f64 x z))))
99.9%
(pow.f64 (fma.f64 y (+.f64 z x) (*.f64 z x)) #s(literal 3/2 binary64))
72.0%
(cbrt.f64 (pow.f64 (fma.f64 y (+.f64 z x) (*.f64 z x)) #s(literal 3/2 binary64)))
100.0%
(*.f64 z (+.f64 y x))
86.9%
(sqrt.f64 (*.f64 z (+.f64 y x)))
87.0%
(sqrt.f64 (*.f64 y x))
99.7%
(pow.f64 (pow.f64 (fma.f64 y (+.f64 x z) (*.f64 x z)) #s(literal 1/4 binary64)) #s(literal 2 binary64))
81.7%
(pow.f64 (fma.f64 y (+.f64 x z) (*.f64 x z)) #s(literal 1/4 binary64))
Compiler

Compiled 248 to 99 computations (60.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 337.0ms
Operation ival-sub, time spent: 132.0ms, 39.0% of total-time
Operation ival-pow, time spent: 109.0ms, 32.0% of total-time
Operation ival-mult, time spent: 36.0ms, 11.0% of total-time
Operation composed, time spent: 21.0ms, 6.0% of total-time
Operation ival-add, time spent: 13.0ms, 4.0% of total-time
Operation ival-sqrt, time spent: 9.0ms, 3.0% of total-time
Operation ival-div, time spent: 8.0ms, 2.0% of total-time
Operation const, time spent: 5.0ms, 1.0% of total-time
Operation ival-cbrt, time spent: 4.0ms, 1.0% of total-time

series162.0ms (0.9%)

Counts
10 → 348
Calls
Call 1
Inputs
#<alt (pow.f64 (fma.f64 y (+.f64 x z) (*.f64 x z)) #s(literal 1/4 binary64))>
#<alt (pow.f64 (pow.f64 (fma.f64 y (+.f64 x z) (*.f64 x z)) #s(literal 1/4 binary64)) #s(literal 2 binary64))>
#<alt (sqrt.f64 (*.f64 y x))>
#<alt (sqrt.f64 (*.f64 z (+.f64 y x)))>
#<alt (cbrt.f64 (pow.f64 (fma.f64 y (+.f64 z x) (*.f64 z x)) #s(literal 3/2 binary64)))>
#<alt (pow.f64 (fma.f64 y (+.f64 z x) (*.f64 z x)) #s(literal 3/2 binary64))>
#<alt (sqrt.f64 (fma.f64 x z (/.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y) (-.f64 x z))))>
#<alt (/.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y) (-.f64 x z))>
#<alt (*.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y)>
#<alt (fma.f64 x z (/.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y) (-.f64 x z)))>
Outputs
#<alt (pow.f64 (*.f64 #s(literal 1 binary64) (*.f64 x z)) #s(literal 1/4 binary64))>
#<alt (+.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (pow.f64 (*.f64 #s(literal 1 binary64) (*.f64 x z)) #s(literal 1/4 binary64)) (*.f64 y (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) z))))) (pow.f64 (*.f64 #s(literal 1 binary64) (*.f64 x z)) #s(literal 1/4 binary64)))>
#<alt (+.f64 (*.f64 y (+.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (pow.f64 (*.f64 #s(literal 1 binary64) (*.f64 x z)) #s(literal 1/4 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) z)))) (*.f64 (pow.f64 (*.f64 #s(literal 1 binary64) (*.f64 x z)) #s(literal 1/4 binary64)) (*.f64 y (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 (+.f64 x z) #s(literal 2 binary64)) (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))) (*.f64 #s(literal 1/32 binary64) (pow.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) z)) #s(literal 2 binary64)))))))) (pow.f64 (*.f64 #s(literal 1 binary64) (*.f64 x z)) #s(literal 1/4 binary64)))>
#<alt (+.f64 (*.f64 y (+.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (pow.f64 (*.f64 #s(literal 1 binary64) (*.f64 x z)) #s(literal 1/4 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) z)))) (*.f64 y (+.f64 (*.f64 (pow.f64 (*.f64 #s(literal 1 binary64) (*.f64 x z)) #s(literal 1/4 binary64)) (*.f64 y (+.f64 (*.f64 #s(literal -1/32 binary64) (/.f64 (*.f64 (pow.f64 (+.f64 x z) #s(literal 2 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) z))) (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))) (+.f64 (*.f64 #s(literal 1/384 binary64) (pow.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) z)) #s(literal 3 binary64))) (*.f64 #s(literal 1/12 binary64) (/.f64 (pow.f64 (+.f64 x z) #s(literal 3 binary64)) (*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))))))))) (*.f64 (pow.f64 (*.f64 #s(literal 1 binary64) (*.f64 x z)) #s(literal 1/4 binary64)) (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 (+.f64 x z) #s(literal 2 binary64)) (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))) (*.f64 #s(literal 1/32 binary64) (pow.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) z)) #s(literal 2 binary64))))))))) (pow.f64 (*.f64 #s(literal 1 binary64) (*.f64 x z)) #s(literal 1/4 binary64)))>
#<alt (exp.f64 (*.f64 #s(literal 1/4 binary64) (+.f64 (log.f64 (+.f64 x z)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) y))))))>
#<alt (+.f64 (exp.f64 (*.f64 #s(literal 1/4 binary64) (+.f64 (log.f64 (+.f64 x z)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) y)))))) (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 x (*.f64 z (exp.f64 (*.f64 #s(literal 1/4 binary64) (+.f64 (log.f64 (+.f64 x z)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) y)))))))) (*.f64 y (+.f64 x z)))))>
#<alt (+.f64 (exp.f64 (*.f64 #s(literal 1/4 binary64) (+.f64 (log.f64 (+.f64 x z)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) y)))))) (+.f64 (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 x (*.f64 z (exp.f64 (*.f64 #s(literal 1/4 binary64) (+.f64 (log.f64 (+.f64 x z)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) y)))))))) (*.f64 y (+.f64 x z)))) (/.f64 (*.f64 (exp.f64 (*.f64 #s(literal 1/4 binary64) (+.f64 (log.f64 (+.f64 x z)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) y)))))) (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (pow.f64 (+.f64 x z) #s(literal 2 binary64)))) (*.f64 #s(literal 1/32 binary64) (/.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (pow.f64 (+.f64 x z) #s(literal 2 binary64)))))) (pow.f64 y #s(literal 2 binary64)))))>
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#<alt (exp.f64 (*.f64 #s(literal 1/4 binary64) (+.f64 (log.f64 (*.f64 #s(literal -1 binary64) (+.f64 x z))) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) y))))))>
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#<alt (+.f64 (*.f64 x y) (*.f64 y z))>
#<alt (*.f64 x y)>
#<alt (*.f64 x (+.f64 y (/.f64 (*.f64 y z) x)))>
#<alt (*.f64 x (+.f64 y (/.f64 (*.f64 y z) x)))>
#<alt (*.f64 x (+.f64 y (/.f64 (*.f64 y z) x)))>
#<alt (*.f64 x y)>
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#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) y) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 y z) x)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) y) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 y z) x)))))>
#<alt (*.f64 x y)>
#<alt (+.f64 (*.f64 x y) (*.f64 y z))>
#<alt (+.f64 (*.f64 x y) (*.f64 y z))>
#<alt (+.f64 (*.f64 x y) (*.f64 y z))>
#<alt (*.f64 y z)>
#<alt (*.f64 z (+.f64 y (/.f64 (*.f64 x y) z)))>
#<alt (*.f64 z (+.f64 y (/.f64 (*.f64 x y) z)))>
#<alt (*.f64 z (+.f64 y (/.f64 (*.f64 x y) z)))>
#<alt (*.f64 y z)>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) y) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x y) z)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) y) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x y) z)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) y) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x y) z)))))>
#<alt (/.f64 (*.f64 y (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) (-.f64 x z))>
#<alt (/.f64 (*.f64 y (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) (-.f64 x z))>
#<alt (/.f64 (*.f64 y (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) (-.f64 x z))>
#<alt (/.f64 (*.f64 y (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) (-.f64 x z))>
#<alt (/.f64 (*.f64 y (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) (-.f64 x z))>
#<alt (/.f64 (*.f64 y (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) (-.f64 x z))>
#<alt (/.f64 (*.f64 y (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) (-.f64 x z))>
#<alt (/.f64 (*.f64 y (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) (-.f64 x z))>
#<alt (/.f64 (*.f64 y (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) (-.f64 x z))>
#<alt (/.f64 (*.f64 y (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) (-.f64 x z))>
#<alt (/.f64 (*.f64 y (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) (-.f64 x z))>
#<alt (/.f64 (*.f64 y (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) (-.f64 x z))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (pow.f64 z #s(literal 2 binary64))))>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 y (pow.f64 z #s(literal 2 binary64)))) (*.f64 (pow.f64 x #s(literal 2 binary64)) y))>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 y (pow.f64 z #s(literal 2 binary64)))) (*.f64 (pow.f64 x #s(literal 2 binary64)) y))>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 y (pow.f64 z #s(literal 2 binary64)))) (*.f64 (pow.f64 x #s(literal 2 binary64)) y))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) y)>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 y (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 y (pow.f64 z #s(literal 2 binary64))) (pow.f64 x #s(literal 2 binary64))))))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 y (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 y (pow.f64 z #s(literal 2 binary64))) (pow.f64 x #s(literal 2 binary64))))))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 y (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 y (pow.f64 z #s(literal 2 binary64))) (pow.f64 x #s(literal 2 binary64))))))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) y)>
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#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 y (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 y (pow.f64 z #s(literal 2 binary64))) (pow.f64 x #s(literal 2 binary64))))))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 y (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 y (pow.f64 z #s(literal 2 binary64))) (pow.f64 x #s(literal 2 binary64))))))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) y)>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 y (pow.f64 z #s(literal 2 binary64)))) (*.f64 (pow.f64 x #s(literal 2 binary64)) y))>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 y (pow.f64 z #s(literal 2 binary64)))) (*.f64 (pow.f64 x #s(literal 2 binary64)) y))>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 y (pow.f64 z #s(literal 2 binary64)))) (*.f64 (pow.f64 x #s(literal 2 binary64)) y))>
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#<alt (*.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) y) (/.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) y) (pow.f64 z #s(literal 2 binary64)))))>
#<alt (*.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) y) (/.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) y) (pow.f64 z #s(literal 2 binary64)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (pow.f64 z #s(literal 2 binary64))))>
#<alt (*.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) y) (/.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) y) (pow.f64 z #s(literal 2 binary64)))))>
#<alt (*.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) y) (/.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) y) (pow.f64 z #s(literal 2 binary64)))))>
#<alt (*.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) y) (/.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) y) (pow.f64 z #s(literal 2 binary64)))))>
#<alt (*.f64 y (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))>
#<alt (*.f64 y (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))>
#<alt (*.f64 y (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))>
#<alt (*.f64 y (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))>
#<alt (*.f64 y (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))>
#<alt (*.f64 y (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))>
#<alt (*.f64 y (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))>
#<alt (*.f64 y (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))>
#<alt (*.f64 y (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))>
#<alt (*.f64 y (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))>
#<alt (*.f64 y (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))>
#<alt (*.f64 y (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))>
#<alt (*.f64 y z)>
#<alt (+.f64 (*.f64 x (-.f64 z (*.f64 #s(literal -1 binary64) y))) (*.f64 y z))>
#<alt (+.f64 (*.f64 x (-.f64 z (*.f64 #s(literal -1 binary64) y))) (*.f64 y z))>
#<alt (+.f64 (*.f64 x (-.f64 z (*.f64 #s(literal -1 binary64) y))) (*.f64 y z))>
#<alt (*.f64 x (+.f64 y z))>
#<alt (*.f64 x (+.f64 y (+.f64 z (/.f64 (*.f64 y z) x))))>
#<alt (*.f64 x (+.f64 y (+.f64 z (/.f64 (*.f64 y z) x))))>
#<alt (*.f64 x (+.f64 y (+.f64 z (/.f64 (*.f64 y z) x))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) y) (*.f64 #s(literal -1 binary64) z))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) y) (+.f64 (*.f64 #s(literal -1 binary64) z) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 y z) x))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) y) (+.f64 (*.f64 #s(literal -1 binary64) z) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 y z) x))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) y) (+.f64 (*.f64 #s(literal -1 binary64) z) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 y z) x))))))>
#<alt (*.f64 x y)>
#<alt (+.f64 (*.f64 x y) (*.f64 z (-.f64 x (*.f64 #s(literal -1 binary64) y))))>
#<alt (+.f64 (*.f64 x y) (*.f64 z (-.f64 x (*.f64 #s(literal -1 binary64) y))))>
#<alt (+.f64 (*.f64 x y) (*.f64 z (-.f64 x (*.f64 #s(literal -1 binary64) y))))>
#<alt (*.f64 z (+.f64 x y))>
#<alt (*.f64 z (+.f64 x (+.f64 y (/.f64 (*.f64 x y) z))))>
#<alt (*.f64 z (+.f64 x (+.f64 y (/.f64 (*.f64 x y) z))))>
#<alt (*.f64 z (+.f64 x (+.f64 y (/.f64 (*.f64 x y) z))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1 binary64) y))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) x) (+.f64 (*.f64 #s(literal -1 binary64) y) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x y) z))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) x) (+.f64 (*.f64 #s(literal -1 binary64) y) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x y) z))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) x) (+.f64 (*.f64 #s(literal -1 binary64) y) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x y) z))))))>
#<alt (*.f64 x z)>
#<alt (+.f64 (*.f64 x z) (*.f64 y (-.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 x z)) (/.f64 (pow.f64 z #s(literal 2 binary64)) (-.f64 x z)))))>
#<alt (+.f64 (*.f64 x z) (*.f64 y (-.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 x z)) (/.f64 (pow.f64 z #s(literal 2 binary64)) (-.f64 x z)))))>
#<alt (+.f64 (*.f64 x z) (*.f64 y (-.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 x z)) (/.f64 (pow.f64 z #s(literal 2 binary64)) (-.f64 x z)))))>
#<alt (*.f64 y (-.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 x z)) (/.f64 (pow.f64 z #s(literal 2 binary64)) (-.f64 x z))))>
#<alt (*.f64 y (-.f64 (+.f64 (/.f64 (*.f64 x z) y) (/.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 x z))) (/.f64 (pow.f64 z #s(literal 2 binary64)) (-.f64 x z))))>
#<alt (*.f64 y (-.f64 (+.f64 (/.f64 (*.f64 x z) y) (/.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 x z))) (/.f64 (pow.f64 z #s(literal 2 binary64)) (-.f64 x z))))>
#<alt (*.f64 y (-.f64 (+.f64 (/.f64 (*.f64 x z) y) (/.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 x z))) (/.f64 (pow.f64 z #s(literal 2 binary64)) (-.f64 x z))))>
#<alt (/.f64 (*.f64 y (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) (-.f64 x z))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) y)) (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (-.f64 x z))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) y)) (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (-.f64 x z))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) y)) (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (-.f64 x z))))))>
Calls

87 calls:

TimeVariablePointExpression
46.0ms
x
@inf
(sqrt (* y x))
8.0ms
x
@0
(pow (+ (* y (+ z x)) (* z x)) 3/2)
7.0ms
y
@inf
(pow (+ (* y (+ x z)) (* x z)) 1/4)
3.0ms
y
@inf
(sqrt (+ (* x z) (/ (* (- (pow x 2) (pow z 2)) y) (- x z))))
3.0ms
z
@-inf
(pow (+ (* y (+ z x)) (* z x)) 3/2)

rewrite218.0ms (1.2%)

Algorithm
batch-egg-rewrite
Rules
466×log1p-expm1-u
394×associate-*r*
270×associate-*l*
248×prod-diff
242×expm1-log1p-u
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
037405
1604339
27611339
Stop Event
node limit
Counts
10 → 288
Calls
Call 1
Inputs
(pow.f64 (fma.f64 y (+.f64 x z) (*.f64 x z)) #s(literal 1/4 binary64))
(pow.f64 (pow.f64 (fma.f64 y (+.f64 x z) (*.f64 x z)) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(sqrt.f64 (*.f64 y x))
(sqrt.f64 (*.f64 z (+.f64 y x)))
(cbrt.f64 (pow.f64 (fma.f64 y (+.f64 z x) (*.f64 z x)) #s(literal 3/2 binary64)))
(pow.f64 (fma.f64 y (+.f64 z x) (*.f64 z x)) #s(literal 3/2 binary64))
(sqrt.f64 (fma.f64 x z (/.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y) (-.f64 x z))))
(/.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y) (-.f64 x z))
(*.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y)
(fma.f64 x z (/.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y) (-.f64 x z)))
Outputs
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (fma.f64 y (+.f64 x z) (*.f64 x z)) #s(literal 1/4 binary64)))) #s(literal 1 binary64))
(*.f64 (pow.f64 (fma.f64 y (+.f64 x z) (*.f64 x z)) #s(literal 1/4 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 y (+.f64 x z) (*.f64 x z)) #s(literal 1/4 binary64)))
(*.f64 (cbrt.f64 (sqrt.f64 (fma.f64 y (+.f64 x z) (*.f64 x z)))) (cbrt.f64 (pow.f64 (fma.f64 y (+.f64 x z) (*.f64 x z)) #s(literal 1/4 binary64))))
(*.f64 (cbrt.f64 (pow.f64 (fma.f64 y (+.f64 x z) (*.f64 x z)) #s(literal 1/4 binary64))) (cbrt.f64 (sqrt.f64 (fma.f64 y (+.f64 x z) (*.f64 x z)))))
(*.f64 (pow.f64 (fma.f64 y (+.f64 x z) (*.f64 x z)) #s(literal 1/8 binary64)) (pow.f64 (fma.f64 y (+.f64 x z) (*.f64 x z)) #s(literal 1/8 binary64)))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/4 binary64)) (pow.f64 (fma.f64 y (+.f64 x z) (*.f64 x z)) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (fma.f64 y (+.f64 x z) (*.f64 x z))) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (pow.f64 (cbrt.f64 (fma.f64 y (+.f64 x z) (*.f64 x z))) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (fma.f64 y (+.f64 x z) (*.f64 x z))) #s(literal 1/4 binary64)) (pow.f64 (sqrt.f64 (fma.f64 y (+.f64 x z) (*.f64 x z))) #s(literal 1/4 binary64)))
(*.f64 (sqrt.f64 (cbrt.f64 (fma.f64 y (+.f64 x z) (*.f64 x z)))) (sqrt.f64 (cbrt.f64 (sqrt.f64 (fma.f64 y (+.f64 x z) (*.f64 x z))))))
(sqrt.f64 (sqrt.f64 (fma.f64 y (+.f64 x z) (*.f64 x z))))
(fabs.f64 (pow.f64 (fma.f64 y (+.f64 x z) (*.f64 x z)) #s(literal 1/4 binary64)))
(log.f64 (exp.f64 (pow.f64 (fma.f64 y (+.f64 x z) (*.f64 x z)) #s(literal 1/4 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (pow.f64 (fma.f64 y (+.f64 x z) (*.f64 x z)) #s(literal 1/4 binary64)))))
(cbrt.f64 (pow.f64 (fma.f64 y (+.f64 x z) (*.f64 x z)) #s(literal 3/4 binary64)))
(expm1.f64 (log1p.f64 (pow.f64 (fma.f64 y (+.f64 x z) (*.f64 x z)) #s(literal 1/4 binary64))))
(log1p.f64 (expm1.f64 (pow.f64 (fma.f64 y (+.f64 x z) (*.f64 x z)) #s(literal 1/4 binary64))))
(exp.f64 (*.f64 #s(literal 1/4 binary64) (log.f64 (fma.f64 y (+.f64 x z) (*.f64 x z)))))
(exp.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (log.f64 (fma.f64 y (+.f64 x z) (*.f64 x z)))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (fma.f64 y (+.f64 x z) (*.f64 x z))))) #s(literal 1 binary64))
(*.f64 (pow.f64 (fma.f64 y (+.f64 x z) (*.f64 x z)) #s(literal 1/4 binary64)) (pow.f64 (fma.f64 y (+.f64 x z) (*.f64 x z)) #s(literal 1/4 binary64)))
(*.f64 (sqrt.f64 (fma.f64 y (+.f64 x z) (*.f64 x z))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 y (+.f64 x z) (*.f64 x z))))
(*.f64 (cbrt.f64 (sqrt.f64 (fma.f64 y (+.f64 x z) (*.f64 x z)))) (cbrt.f64 (fma.f64 y (+.f64 x z) (*.f64 x z))))
(*.f64 (cbrt.f64 (sqrt.f64 (fma.f64 y (+.f64 x z) (*.f64 x z)))) (*.f64 (cbrt.f64 (pow.f64 (fma.f64 y (+.f64 x z) (*.f64 x z)) #s(literal 1/4 binary64))) (pow.f64 (fma.f64 y (+.f64 x z) (*.f64 x z)) #s(literal 1/4 binary64))))
(*.f64 (cbrt.f64 (fma.f64 y (+.f64 x z) (*.f64 x z))) (cbrt.f64 (sqrt.f64 (fma.f64 y (+.f64 x z) (*.f64 x z)))))
(*.f64 (pow.f64 (fma.f64 y (+.f64 x z) (*.f64 x z)) #s(literal 1/8 binary64)) (*.f64 (pow.f64 (fma.f64 y (+.f64 x z) (*.f64 x z)) #s(literal 1/8 binary64)) (pow.f64 (fma.f64 y (+.f64 x z) (*.f64 x z)) #s(literal 1/4 binary64))))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/3 binary64)) (sqrt.f64 (fma.f64 y (+.f64 x z) (*.f64 x z))))
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(+.f64 (*.f64 y z) (*.f64 y x))
(-.f64 (exp.f64 (log1p.f64 (*.f64 y (+.f64 x z)))) #s(literal 1 binary64))
(*.f64 y (+.f64 x z))
(*.f64 (+.f64 x z) y)
(*.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (/.f64 y (-.f64 x z)))
(*.f64 (*.f64 y (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 x z)))
(*.f64 (*.f64 y (+.f64 x z)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (*.f64 y (+.f64 x z)))
(*.f64 (cbrt.f64 (*.f64 y (+.f64 x z))) (cbrt.f64 (pow.f64 (*.f64 y (+.f64 x z)) #s(literal 2 binary64))))
(*.f64 (cbrt.f64 (pow.f64 (*.f64 y (+.f64 x z)) #s(literal 2 binary64))) (cbrt.f64 (*.f64 y (+.f64 x z))))
(*.f64 (cbrt.f64 (pow.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 2 binary64))) (*.f64 (cbrt.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) (/.f64 y (-.f64 x z))))
(*.f64 (cbrt.f64 (pow.f64 (*.f64 y (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) #s(literal 2 binary64))) (/.f64 (cbrt.f64 (*.f64 y (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))) (-.f64 x z)))
(*.f64 (cbrt.f64 (pow.f64 (*.f64 y (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) #s(literal 2 binary64))) (*.f64 (cbrt.f64 (*.f64 y (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))) (/.f64 #s(literal 1 binary64) (-.f64 x z))))
(*.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (*.f64 (cbrt.f64 y) (+.f64 x z)))
(*.f64 (sqrt.f64 y) (*.f64 (sqrt.f64 y) (+.f64 x z)))
(*.f64 (sqrt.f64 (*.f64 y (+.f64 x z))) (sqrt.f64 (*.f64 y (+.f64 x z))))
(*.f64 (sqrt.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) (*.f64 (sqrt.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) (/.f64 y (-.f64 x z))))
(*.f64 (sqrt.f64 (*.f64 y (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))) (/.f64 (sqrt.f64 (*.f64 y (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))) (-.f64 x z)))
(*.f64 (sqrt.f64 (*.f64 y (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))) (*.f64 (sqrt.f64 (*.f64 y (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))) (/.f64 #s(literal 1 binary64) (-.f64 x z))))
(*.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (neg.f64 y)) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 x z))))
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 x z)) (*.f64 y (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))))
(*.f64 (/.f64 y (-.f64 x z)) (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))
(*.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 (pow.f64 (-.f64 x z) #s(literal 2 binary64)))) (/.f64 (*.f64 y (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) (cbrt.f64 (-.f64 x z))))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 x z))) (/.f64 (*.f64 y (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) (sqrt.f64 (-.f64 x z))))
(*.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (sqrt.f64 (-.f64 x z))) (/.f64 y (sqrt.f64 (-.f64 x z))))
(*.f64 (/.f64 y #s(literal 1 binary64)) (+.f64 x z))
(*.f64 (/.f64 y (cbrt.f64 (pow.f64 (-.f64 x z) #s(literal 2 binary64)))) (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (cbrt.f64 (-.f64 x z))))
(*.f64 (/.f64 y (sqrt.f64 (-.f64 x z))) (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (sqrt.f64 (-.f64 x z))))
(*.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 1 binary64)) (/.f64 y (-.f64 x z)))
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(*.f64 (/.f64 (cbrt.f64 (pow.f64 (*.f64 y (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) #s(literal 2 binary64))) #s(literal 1 binary64)) (/.f64 (cbrt.f64 (*.f64 y (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))) (-.f64 x z)))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (*.f64 y (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) #s(literal 2 binary64))) (cbrt.f64 (pow.f64 (-.f64 x z) #s(literal 2 binary64)))) (cbrt.f64 (*.f64 y (+.f64 x z))))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (*.f64 y (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) #s(literal 2 binary64))) (sqrt.f64 (-.f64 x z))) (/.f64 (cbrt.f64 (*.f64 y (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))) (sqrt.f64 (-.f64 x z))))
(*.f64 (/.f64 (sqrt.f64 (*.f64 y (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))) #s(literal 1 binary64)) (/.f64 (sqrt.f64 (*.f64 y (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))) (-.f64 x z)))
(*.f64 (/.f64 (sqrt.f64 (*.f64 y (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))) (cbrt.f64 (pow.f64 (-.f64 x z) #s(literal 2 binary64)))) (/.f64 (sqrt.f64 (*.f64 y (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))) (cbrt.f64 (-.f64 x z))))
(*.f64 (*.f64 (sqrt.f64 y) (sqrt.f64 (+.f64 x z))) (*.f64 (sqrt.f64 y) (sqrt.f64 (+.f64 x z))))
(*.f64 (*.f64 y (cbrt.f64 (pow.f64 (+.f64 x z) #s(literal 2 binary64)))) (cbrt.f64 (+.f64 x z)))
(*.f64 (*.f64 y (sqrt.f64 (+.f64 x z))) (sqrt.f64 (+.f64 x z)))
(*.f64 (/.f64 (*.f64 y (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) (+.f64 x z))
(*.f64 (/.f64 (*.f64 y (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64)))) (fma.f64 x x (*.f64 z (+.f64 x z))))
(pow.f64 (*.f64 y (+.f64 x z)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 y (+.f64 x z))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 y (+.f64 x z)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 y (+.f64 x z))) #s(literal 2 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (+.f64 x z))) #s(literal -1 binary64))
(neg.f64 (/.f64 (*.f64 y (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) (neg.f64 (-.f64 x z))))
(neg.f64 (/.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (neg.f64 y)) (-.f64 x z)))
(sqrt.f64 (pow.f64 (*.f64 y (+.f64 x z)) #s(literal 2 binary64)))
(log.f64 (exp.f64 (*.f64 y (+.f64 x z))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 y (+.f64 x z)))))
(cbrt.f64 (pow.f64 (*.f64 y (+.f64 x z)) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 (+.f64 x z) #s(literal 3 binary64))))
(cbrt.f64 (/.f64 (pow.f64 (*.f64 y (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) #s(literal 3 binary64)) (pow.f64 (-.f64 x z) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 y (+.f64 x z))))
(log1p.f64 (expm1.f64 (*.f64 y (+.f64 x z))))
(exp.f64 (log.f64 (*.f64 y (+.f64 x z))))
(exp.f64 (*.f64 (log.f64 (*.f64 y (+.f64 x z))) #s(literal 1 binary64)))
(exp.f64 (+.f64 (log.f64 y) (log.f64 (+.f64 x z))))
(+.f64 (*.f64 y (pow.f64 x #s(literal 2 binary64))) (*.f64 y (neg.f64 (pow.f64 z #s(literal 2 binary64)))))
(+.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) y) (*.f64 (neg.f64 (pow.f64 z #s(literal 2 binary64))) y))
(-.f64 (exp.f64 (log1p.f64 (*.f64 y (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))))) #s(literal 1 binary64))
(/.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 z #s(literal 6 binary64))) y) (+.f64 (+.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 z #s(literal 4 binary64))) (pow.f64 (*.f64 x z) #s(literal 2 binary64))))
(/.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 z #s(literal 4 binary64))) y) (fma.f64 x x (pow.f64 z #s(literal 2 binary64))))
(/.f64 (*.f64 y (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 z #s(literal 6 binary64)))) (+.f64 (+.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 z #s(literal 4 binary64))) (pow.f64 (*.f64 x z) #s(literal 2 binary64))))
(/.f64 (*.f64 y (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 z #s(literal 4 binary64)))) (fma.f64 x x (pow.f64 z #s(literal 2 binary64))))
(pow.f64 (*.f64 y (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 y (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 y (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 y (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 y (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 y) (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 y (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))))))
(cbrt.f64 (pow.f64 (*.f64 y (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 y (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))))
(log1p.f64 (expm1.f64 (*.f64 y (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))))
(exp.f64 (log.f64 (*.f64 y (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))))
(exp.f64 (*.f64 (log.f64 (*.f64 y (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))) #s(literal 1 binary64)))
(+.f64 (*.f64 x z) (*.f64 y (+.f64 x z)))
(+.f64 (*.f64 y (+.f64 x z)) (*.f64 x z))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 y (+.f64 x z) (*.f64 x z)))) #s(literal 1 binary64))
(*.f64 (fma.f64 y (+.f64 x z) (*.f64 x z)) #s(literal 1 binary64))
(*.f64 (pow.f64 (fma.f64 y (+.f64 x z) (*.f64 x z)) #s(literal 1/4 binary64)) (pow.f64 (fma.f64 y (+.f64 x z) (*.f64 x z)) #s(literal 3/4 binary64)))
(*.f64 (sqrt.f64 (fma.f64 y (+.f64 x z) (*.f64 x z))) (sqrt.f64 (fma.f64 y (+.f64 x z) (*.f64 x z))))
(*.f64 #s(literal 1 binary64) (fma.f64 y (+.f64 x z) (*.f64 x z)))
(*.f64 (cbrt.f64 (fma.f64 y (+.f64 x z) (*.f64 x z))) (pow.f64 (cbrt.f64 (fma.f64 y (+.f64 x z) (*.f64 x z))) #s(literal 2 binary64)))
(*.f64 (cbrt.f64 (fma.f64 y (+.f64 x z) (*.f64 x z))) (*.f64 (cbrt.f64 (sqrt.f64 (fma.f64 y (+.f64 x z) (*.f64 x z)))) (sqrt.f64 (fma.f64 y (+.f64 x z) (*.f64 x z)))))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 y (+.f64 x z) (*.f64 x z))) #s(literal 2 binary64)) (cbrt.f64 (fma.f64 y (+.f64 x z) (*.f64 x z))))
(*.f64 (pow.f64 (fma.f64 y (+.f64 x z) (*.f64 x z)) #s(literal 3/4 binary64)) (pow.f64 (fma.f64 y (+.f64 x z) (*.f64 x z)) #s(literal 1/4 binary64)))
(*.f64 (*.f64 (sqrt.f64 (fma.f64 y (+.f64 x z) (*.f64 x z))) (cbrt.f64 (fma.f64 y (+.f64 x z) (*.f64 x z)))) (cbrt.f64 (sqrt.f64 (fma.f64 y (+.f64 x z) (*.f64 x z)))))
(/.f64 (+.f64 (pow.f64 (*.f64 y (+.f64 x z)) #s(literal 3 binary64)) (pow.f64 (*.f64 x z) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 y (+.f64 x z)) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 x z) #s(literal 2 binary64)) (*.f64 (*.f64 y (+.f64 x z)) (*.f64 x z)))))
(/.f64 (+.f64 (pow.f64 (*.f64 x z) #s(literal 3 binary64)) (pow.f64 (*.f64 y (+.f64 x z)) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 x z) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 y (+.f64 x z)) #s(literal 2 binary64)) (*.f64 (*.f64 x z) (*.f64 y (+.f64 x z))))))
(/.f64 (-.f64 (pow.f64 (*.f64 y (+.f64 x z)) #s(literal 2 binary64)) (pow.f64 (*.f64 x z) #s(literal 2 binary64))) (-.f64 (*.f64 y (+.f64 x z)) (*.f64 x z)))
(/.f64 (-.f64 (pow.f64 (*.f64 x z) #s(literal 2 binary64)) (pow.f64 (*.f64 y (+.f64 x z)) #s(literal 2 binary64))) (-.f64 (*.f64 x z) (*.f64 y (+.f64 x z))))
(pow.f64 (fma.f64 y (+.f64 x z) (*.f64 x z)) #s(literal 1 binary64))
(pow.f64 (pow.f64 (fma.f64 y (+.f64 x z) (*.f64 x z)) #s(literal 1/4 binary64)) #s(literal 4 binary64))
(pow.f64 (sqrt.f64 (fma.f64 y (+.f64 x z) (*.f64 x z))) #s(literal 2 binary64))
(pow.f64 (pow.f64 (fma.f64 y (+.f64 x z) (*.f64 x z)) #s(literal 3/2 binary64)) #s(literal 2/3 binary64))
(pow.f64 (cbrt.f64 (fma.f64 y (+.f64 x z) (*.f64 x z))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (fma.f64 y (+.f64 x z) (*.f64 x z)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (pow.f64 (fma.f64 y (+.f64 x z) (*.f64 x z)) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(sqrt.f64 (pow.f64 (fma.f64 y (+.f64 x z) (*.f64 x z)) #s(literal 2 binary64)))
(log.f64 (exp.f64 (fma.f64 y (+.f64 x z) (*.f64 x z))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 y (+.f64 x z) (*.f64 x z)))))
(cbrt.f64 (pow.f64 (fma.f64 y (+.f64 x z) (*.f64 x z)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (fma.f64 y (+.f64 x z) (*.f64 x z))))
(log1p.f64 (expm1.f64 (fma.f64 y (+.f64 x z) (*.f64 x z))))
(exp.f64 (log.f64 (fma.f64 y (+.f64 x z) (*.f64 x z))))
(exp.f64 (*.f64 (log.f64 (fma.f64 y (+.f64 x z) (*.f64 x z))) #s(literal 1 binary64)))

simplify573.0ms (3.3%)

Algorithm
egg-herbie
Rules
1506×*-commutative
1068×times-frac
738×associate-+r+
596×+-commutative
474×associate-*r*
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
017714295023269
154684295020209
Stop Event
node limit
Counts
636 → 741
Calls
Call 1
Inputs
(pow.f64 (*.f64 #s(literal 1 binary64) (*.f64 x z)) #s(literal 1/4 binary64))
(+.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (pow.f64 (*.f64 #s(literal 1 binary64) (*.f64 x z)) #s(literal 1/4 binary64)) (*.f64 y (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) z))))) (pow.f64 (*.f64 #s(literal 1 binary64) (*.f64 x z)) #s(literal 1/4 binary64)))
(+.f64 (*.f64 y (+.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (pow.f64 (*.f64 #s(literal 1 binary64) (*.f64 x z)) #s(literal 1/4 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) z)))) (*.f64 (pow.f64 (*.f64 #s(literal 1 binary64) (*.f64 x z)) #s(literal 1/4 binary64)) (*.f64 y (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 (+.f64 x z) #s(literal 2 binary64)) (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))) (*.f64 #s(literal 1/32 binary64) (pow.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) z)) #s(literal 2 binary64)))))))) (pow.f64 (*.f64 #s(literal 1 binary64) (*.f64 x z)) #s(literal 1/4 binary64)))
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(*.f64 (/.f64 (cbrt.f64 (pow.f64 (*.f64 y (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) #s(literal 2 binary64))) #s(literal 1 binary64)) (/.f64 (cbrt.f64 (*.f64 y (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))) (-.f64 x z)))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (*.f64 y (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) #s(literal 2 binary64))) (cbrt.f64 (pow.f64 (-.f64 x z) #s(literal 2 binary64)))) (cbrt.f64 (*.f64 y (+.f64 x z))))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (*.f64 y (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) #s(literal 2 binary64))) (sqrt.f64 (-.f64 x z))) (/.f64 (cbrt.f64 (*.f64 y (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))) (sqrt.f64 (-.f64 x z))))
(*.f64 (/.f64 (sqrt.f64 (*.f64 y (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))) #s(literal 1 binary64)) (/.f64 (sqrt.f64 (*.f64 y (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))) (-.f64 x z)))
(*.f64 (/.f64 (sqrt.f64 (*.f64 y (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))) (cbrt.f64 (pow.f64 (-.f64 x z) #s(literal 2 binary64)))) (/.f64 (sqrt.f64 (*.f64 y (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))) (cbrt.f64 (-.f64 x z))))
(*.f64 (*.f64 (sqrt.f64 y) (sqrt.f64 (+.f64 x z))) (*.f64 (sqrt.f64 y) (sqrt.f64 (+.f64 x z))))
(*.f64 (*.f64 y (cbrt.f64 (pow.f64 (+.f64 x z) #s(literal 2 binary64)))) (cbrt.f64 (+.f64 x z)))
(*.f64 (*.f64 y (sqrt.f64 (+.f64 x z))) (sqrt.f64 (+.f64 x z)))
(*.f64 (/.f64 (*.f64 y (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) (+.f64 x z))
(*.f64 (/.f64 (*.f64 y (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64)))) (fma.f64 x x (*.f64 z (+.f64 x z))))
(pow.f64 (*.f64 y (+.f64 x z)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 y (+.f64 x z))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 y (+.f64 x z)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 y (+.f64 x z))) #s(literal 2 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (+.f64 x z))) #s(literal -1 binary64))
(neg.f64 (/.f64 (*.f64 y (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) (neg.f64 (-.f64 x z))))
(neg.f64 (/.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (neg.f64 y)) (-.f64 x z)))
(sqrt.f64 (pow.f64 (*.f64 y (+.f64 x z)) #s(literal 2 binary64)))
(log.f64 (exp.f64 (*.f64 y (+.f64 x z))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 y (+.f64 x z)))))
(cbrt.f64 (pow.f64 (*.f64 y (+.f64 x z)) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 (+.f64 x z) #s(literal 3 binary64))))
(cbrt.f64 (/.f64 (pow.f64 (*.f64 y (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) #s(literal 3 binary64)) (pow.f64 (-.f64 x z) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 y (+.f64 x z))))
(log1p.f64 (expm1.f64 (*.f64 y (+.f64 x z))))
(exp.f64 (log.f64 (*.f64 y (+.f64 x z))))
(exp.f64 (*.f64 (log.f64 (*.f64 y (+.f64 x z))) #s(literal 1 binary64)))
(exp.f64 (+.f64 (log.f64 y) (log.f64 (+.f64 x z))))
(+.f64 (*.f64 y (pow.f64 x #s(literal 2 binary64))) (*.f64 y (neg.f64 (pow.f64 z #s(literal 2 binary64)))))
(+.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) y) (*.f64 (neg.f64 (pow.f64 z #s(literal 2 binary64))) y))
(-.f64 (exp.f64 (log1p.f64 (*.f64 y (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))))) #s(literal 1 binary64))
(/.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 z #s(literal 6 binary64))) y) (+.f64 (+.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 z #s(literal 4 binary64))) (pow.f64 (*.f64 x z) #s(literal 2 binary64))))
(/.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 z #s(literal 4 binary64))) y) (fma.f64 x x (pow.f64 z #s(literal 2 binary64))))
(/.f64 (*.f64 y (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 z #s(literal 6 binary64)))) (+.f64 (+.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 z #s(literal 4 binary64))) (pow.f64 (*.f64 x z) #s(literal 2 binary64))))
(/.f64 (*.f64 y (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 z #s(literal 4 binary64)))) (fma.f64 x x (pow.f64 z #s(literal 2 binary64))))
(pow.f64 (*.f64 y (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 y (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 y (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 y (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 y (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 y) (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 y (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))))))
(cbrt.f64 (pow.f64 (*.f64 y (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 y (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))))
(log1p.f64 (expm1.f64 (*.f64 y (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))))
(exp.f64 (log.f64 (*.f64 y (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))))
(exp.f64 (*.f64 (log.f64 (*.f64 y (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))) #s(literal 1 binary64)))
(+.f64 (*.f64 x z) (*.f64 y (+.f64 x z)))
(+.f64 (*.f64 y (+.f64 x z)) (*.f64 x z))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 y (+.f64 x z) (*.f64 x z)))) #s(literal 1 binary64))
(*.f64 (fma.f64 y (+.f64 x z) (*.f64 x z)) #s(literal 1 binary64))
(*.f64 (pow.f64 (fma.f64 y (+.f64 x z) (*.f64 x z)) #s(literal 1/4 binary64)) (pow.f64 (fma.f64 y (+.f64 x z) (*.f64 x z)) #s(literal 3/4 binary64)))
(*.f64 (sqrt.f64 (fma.f64 y (+.f64 x z) (*.f64 x z))) (sqrt.f64 (fma.f64 y (+.f64 x z) (*.f64 x z))))
(*.f64 #s(literal 1 binary64) (fma.f64 y (+.f64 x z) (*.f64 x z)))
(*.f64 (cbrt.f64 (fma.f64 y (+.f64 x z) (*.f64 x z))) (pow.f64 (cbrt.f64 (fma.f64 y (+.f64 x z) (*.f64 x z))) #s(literal 2 binary64)))
(*.f64 (cbrt.f64 (fma.f64 y (+.f64 x z) (*.f64 x z))) (*.f64 (cbrt.f64 (sqrt.f64 (fma.f64 y (+.f64 x z) (*.f64 x z)))) (sqrt.f64 (fma.f64 y (+.f64 x z) (*.f64 x z)))))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 y (+.f64 x z) (*.f64 x z))) #s(literal 2 binary64)) (cbrt.f64 (fma.f64 y (+.f64 x z) (*.f64 x z))))
(*.f64 (pow.f64 (fma.f64 y (+.f64 x z) (*.f64 x z)) #s(literal 3/4 binary64)) (pow.f64 (fma.f64 y (+.f64 x z) (*.f64 x z)) #s(literal 1/4 binary64)))
(*.f64 (*.f64 (sqrt.f64 (fma.f64 y (+.f64 x z) (*.f64 x z))) (cbrt.f64 (fma.f64 y (+.f64 x z) (*.f64 x z)))) (cbrt.f64 (sqrt.f64 (fma.f64 y (+.f64 x z) (*.f64 x z)))))
(/.f64 (+.f64 (pow.f64 (*.f64 y (+.f64 x z)) #s(literal 3 binary64)) (pow.f64 (*.f64 x z) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 y (+.f64 x z)) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 x z) #s(literal 2 binary64)) (*.f64 (*.f64 y (+.f64 x z)) (*.f64 x z)))))
(/.f64 (+.f64 (pow.f64 (*.f64 x z) #s(literal 3 binary64)) (pow.f64 (*.f64 y (+.f64 x z)) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 x z) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 y (+.f64 x z)) #s(literal 2 binary64)) (*.f64 (*.f64 x z) (*.f64 y (+.f64 x z))))))
(/.f64 (-.f64 (pow.f64 (*.f64 y (+.f64 x z)) #s(literal 2 binary64)) (pow.f64 (*.f64 x z) #s(literal 2 binary64))) (-.f64 (*.f64 y (+.f64 x z)) (*.f64 x z)))
(/.f64 (-.f64 (pow.f64 (*.f64 x z) #s(literal 2 binary64)) (pow.f64 (*.f64 y (+.f64 x z)) #s(literal 2 binary64))) (-.f64 (*.f64 x z) (*.f64 y (+.f64 x z))))
(pow.f64 (fma.f64 y (+.f64 x z) (*.f64 x z)) #s(literal 1 binary64))
(pow.f64 (pow.f64 (fma.f64 y (+.f64 x z) (*.f64 x z)) #s(literal 1/4 binary64)) #s(literal 4 binary64))
(pow.f64 (sqrt.f64 (fma.f64 y (+.f64 x z) (*.f64 x z))) #s(literal 2 binary64))
(pow.f64 (pow.f64 (fma.f64 y (+.f64 x z) (*.f64 x z)) #s(literal 3/2 binary64)) #s(literal 2/3 binary64))
(pow.f64 (cbrt.f64 (fma.f64 y (+.f64 x z) (*.f64 x z))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (fma.f64 y (+.f64 x z) (*.f64 x z)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (pow.f64 (fma.f64 y (+.f64 x z) (*.f64 x z)) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(sqrt.f64 (pow.f64 (fma.f64 y (+.f64 x z) (*.f64 x z)) #s(literal 2 binary64)))
(log.f64 (exp.f64 (fma.f64 y (+.f64 x z) (*.f64 x z))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 y (+.f64 x z) (*.f64 x z)))))
(cbrt.f64 (pow.f64 (fma.f64 y (+.f64 x z) (*.f64 x z)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (fma.f64 y (+.f64 x z) (*.f64 x z))))
(log1p.f64 (expm1.f64 (fma.f64 y (+.f64 x z) (*.f64 x z))))
(exp.f64 (log.f64 (fma.f64 y (+.f64 x z) (*.f64 x z))))
(exp.f64 (*.f64 (log.f64 (fma.f64 y (+.f64 x z) (*.f64 x z))) #s(literal 1 binary64)))
Outputs
(pow.f64 (*.f64 #s(literal 1 binary64) (*.f64 x z)) #s(literal 1/4 binary64))
(pow.f64 (*.f64 x z) #s(literal 1/4 binary64))
(+.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (pow.f64 (*.f64 #s(literal 1 binary64) (*.f64 x z)) #s(literal 1/4 binary64)) (*.f64 y (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) z))))) (pow.f64 (*.f64 #s(literal 1 binary64) (*.f64 x z)) #s(literal 1/4 binary64)))
(fma.f64 #s(literal 1/4 binary64) (*.f64 (pow.f64 (*.f64 x z) #s(literal 1/4 binary64)) (*.f64 y (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) z)))) (pow.f64 (*.f64 x z) #s(literal 1/4 binary64)))
(+.f64 (*.f64 y (+.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (pow.f64 (*.f64 #s(literal 1 binary64) (*.f64 x z)) #s(literal 1/4 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) z)))) (*.f64 (pow.f64 (*.f64 #s(literal 1 binary64) (*.f64 x z)) #s(literal 1/4 binary64)) (*.f64 y (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 (+.f64 x z) #s(literal 2 binary64)) (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))) (*.f64 #s(literal 1/32 binary64) (pow.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) z)) #s(literal 2 binary64)))))))) (pow.f64 (*.f64 #s(literal 1 binary64) (*.f64 x z)) #s(literal 1/4 binary64)))
(fma.f64 y (fma.f64 #s(literal 1/4 binary64) (*.f64 (pow.f64 (*.f64 x z) #s(literal 1/4 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) z))) (*.f64 (*.f64 (pow.f64 (*.f64 x z) #s(literal 1/4 binary64)) y) (fma.f64 #s(literal -1/8 binary64) (/.f64 (/.f64 (pow.f64 (+.f64 x z) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) (pow.f64 z #s(literal 2 binary64))) (*.f64 #s(literal 1/32 binary64) (pow.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) z)) #s(literal 2 binary64)))))) (pow.f64 (*.f64 x z) #s(literal 1/4 binary64)))
(fma.f64 y (fma.f64 #s(literal 1/4 binary64) (*.f64 (pow.f64 (*.f64 x z) #s(literal 1/4 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) z))) (*.f64 (pow.f64 (*.f64 x z) #s(literal 1/4 binary64)) (*.f64 y (fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 (+.f64 x z) #s(literal 2 binary64)) (pow.f64 (*.f64 x z) #s(literal 2 binary64))) (*.f64 #s(literal 1/32 binary64) (pow.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) z)) #s(literal 2 binary64))))))) (pow.f64 (*.f64 x z) #s(literal 1/4 binary64)))
(+.f64 (*.f64 y (+.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (pow.f64 (*.f64 #s(literal 1 binary64) (*.f64 x z)) #s(literal 1/4 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) z)))) (*.f64 y (+.f64 (*.f64 (pow.f64 (*.f64 #s(literal 1 binary64) (*.f64 x z)) #s(literal 1/4 binary64)) (*.f64 y (+.f64 (*.f64 #s(literal -1/32 binary64) (/.f64 (*.f64 (pow.f64 (+.f64 x z) #s(literal 2 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) z))) (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))) (+.f64 (*.f64 #s(literal 1/384 binary64) (pow.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) z)) #s(literal 3 binary64))) (*.f64 #s(literal 1/12 binary64) (/.f64 (pow.f64 (+.f64 x z) #s(literal 3 binary64)) (*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))))))))) (*.f64 (pow.f64 (*.f64 #s(literal 1 binary64) (*.f64 x z)) #s(literal 1/4 binary64)) (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 (+.f64 x z) #s(literal 2 binary64)) (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))) (*.f64 #s(literal 1/32 binary64) (pow.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) z)) #s(literal 2 binary64))))))))) (pow.f64 (*.f64 #s(literal 1 binary64) (*.f64 x z)) #s(literal 1/4 binary64)))
(fma.f64 y (fma.f64 #s(literal 1/4 binary64) (*.f64 (pow.f64 (*.f64 x z) #s(literal 1/4 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) z))) (*.f64 y (*.f64 (pow.f64 (*.f64 x z) #s(literal 1/4 binary64)) (+.f64 (*.f64 y (fma.f64 #s(literal -1/32 binary64) (*.f64 (/.f64 (pow.f64 (+.f64 x z) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) z)) (pow.f64 z #s(literal 2 binary64)))) (fma.f64 #s(literal 1/384 binary64) (pow.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) z)) #s(literal 3 binary64)) (/.f64 (*.f64 #s(literal 1/12 binary64) (pow.f64 (+.f64 x z) #s(literal 3 binary64))) (pow.f64 (*.f64 x z) #s(literal 3 binary64)))))) (fma.f64 #s(literal -1/8 binary64) (/.f64 (/.f64 (pow.f64 (+.f64 x z) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) (pow.f64 z #s(literal 2 binary64))) (*.f64 #s(literal 1/32 binary64) (pow.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) z)) #s(literal 2 binary64)))))))) (pow.f64 (*.f64 x z) #s(literal 1/4 binary64)))
(fma.f64 y (fma.f64 #s(literal 1/4 binary64) (*.f64 (pow.f64 (*.f64 x z) #s(literal 1/4 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) z))) (*.f64 y (*.f64 (pow.f64 (*.f64 x z) #s(literal 1/4 binary64)) (+.f64 (*.f64 y (fma.f64 #s(literal -1/32 binary64) (*.f64 (pow.f64 (+.f64 x z) #s(literal 2 binary64)) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) z)) (pow.f64 (*.f64 x z) #s(literal 2 binary64)))) (fma.f64 #s(literal 1/384 binary64) (pow.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) z)) #s(literal 3 binary64)) (*.f64 #s(literal 1/12 binary64) (/.f64 (pow.f64 (+.f64 x z) #s(literal 3 binary64)) (pow.f64 (*.f64 x z) #s(literal 3 binary64))))))) (fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 (+.f64 x z) #s(literal 2 binary64)) (pow.f64 (*.f64 x z) #s(literal 2 binary64))) (*.f64 #s(literal 1/32 binary64) (pow.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) z)) #s(literal 2 binary64)))))))) (pow.f64 (*.f64 x z) #s(literal 1/4 binary64)))
(exp.f64 (*.f64 #s(literal 1/4 binary64) (+.f64 (log.f64 (+.f64 x z)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) y))))))
(pow.f64 (exp.f64 #s(literal 1/4 binary64)) (+.f64 (log.f64 (+.f64 x z)) (neg.f64 (neg.f64 (log.f64 y)))))
(pow.f64 (*.f64 y (+.f64 x z)) #s(literal 1/4 binary64))
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(*.f64 y (/.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 z #s(literal 6 binary64))) (+.f64 (pow.f64 x #s(literal 4 binary64)) (+.f64 (pow.f64 z #s(literal 4 binary64)) (pow.f64 (*.f64 x z) #s(literal 2 binary64))))))
(/.f64 (*.f64 y (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 z #s(literal 6 binary64)))) (+.f64 (+.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 z #s(literal 4 binary64))) (pow.f64 (*.f64 x z) #s(literal 2 binary64))))
(/.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 z #s(literal 4 binary64))) y) (fma.f64 x x (pow.f64 z #s(literal 2 binary64))))
(/.f64 (*.f64 y (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 z #s(literal 4 binary64)))) (fma.f64 x x (pow.f64 z #s(literal 2 binary64))))
(*.f64 y (/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 z #s(literal 4 binary64))) (fma.f64 x x (pow.f64 z #s(literal 2 binary64)))))
(/.f64 (*.f64 y (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 z #s(literal 6 binary64)))) (+.f64 (+.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 z #s(literal 4 binary64))) (pow.f64 (*.f64 x z) #s(literal 2 binary64))))
(*.f64 y (/.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 z #s(literal 6 binary64))) (+.f64 (pow.f64 x #s(literal 4 binary64)) (+.f64 (pow.f64 z #s(literal 4 binary64)) (pow.f64 (*.f64 x z) #s(literal 2 binary64))))))
(/.f64 (*.f64 y (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 z #s(literal 4 binary64)))) (fma.f64 x x (pow.f64 z #s(literal 2 binary64))))
(*.f64 y (/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 z #s(literal 4 binary64))) (fma.f64 x x (pow.f64 z #s(literal 2 binary64)))))
(pow.f64 (*.f64 y (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) #s(literal 1 binary64))
(*.f64 y (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))
(pow.f64 (cbrt.f64 (*.f64 y (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))) #s(literal 3 binary64))
(*.f64 y (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))
(pow.f64 (pow.f64 (*.f64 y (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(*.f64 y (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))
(pow.f64 (sqrt.f64 (*.f64 y (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))) #s(literal 2 binary64))
(*.f64 y (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))
(sqrt.f64 (pow.f64 (*.f64 y (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) #s(literal 2 binary64)))
(fabs.f64 (*.f64 y (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))))
(log.f64 (pow.f64 (exp.f64 y) (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))))
(*.f64 y (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 y (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))))))
(*.f64 y (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))
(cbrt.f64 (pow.f64 (*.f64 y (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) #s(literal 3 binary64)))
(*.f64 y (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))
(cbrt.f64 (*.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 3 binary64))))
(*.f64 y (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))
(*.f64 y (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))
(expm1.f64 (log1p.f64 (*.f64 y (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))))
(log1p.f64 (expm1.f64 (*.f64 y (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))))
(*.f64 y (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))
(exp.f64 (log.f64 (*.f64 y (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))))
(*.f64 y (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))
(exp.f64 (*.f64 (log.f64 (*.f64 y (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))) #s(literal 1 binary64)))
(*.f64 y (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))
(+.f64 (*.f64 x z) (*.f64 y (+.f64 x z)))
(fma.f64 x y (*.f64 z (-.f64 x (neg.f64 y))))
(fma.f64 x z (*.f64 y (+.f64 x z)))
(+.f64 (*.f64 y (+.f64 x z)) (*.f64 x z))
(fma.f64 x y (*.f64 z (-.f64 x (neg.f64 y))))
(fma.f64 x z (*.f64 y (+.f64 x z)))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 y (+.f64 x z) (*.f64 x z)))) #s(literal 1 binary64))
(expm1.f64 (log1p.f64 (fma.f64 x z (*.f64 y (+.f64 x z)))))
(*.f64 (fma.f64 y (+.f64 x z) (*.f64 x z)) #s(literal 1 binary64))
(fma.f64 x y (*.f64 z (-.f64 x (neg.f64 y))))
(fma.f64 x z (*.f64 y (+.f64 x z)))
(*.f64 (pow.f64 (fma.f64 y (+.f64 x z) (*.f64 x z)) #s(literal 1/4 binary64)) (pow.f64 (fma.f64 y (+.f64 x z) (*.f64 x z)) #s(literal 3/4 binary64)))
(*.f64 (pow.f64 (fma.f64 x z (*.f64 y (+.f64 x z))) #s(literal 1/4 binary64)) (pow.f64 (fma.f64 x z (*.f64 y (+.f64 x z))) #s(literal 3/4 binary64)))
(*.f64 (sqrt.f64 (fma.f64 y (+.f64 x z) (*.f64 x z))) (sqrt.f64 (fma.f64 y (+.f64 x z) (*.f64 x z))))
(fma.f64 x y (*.f64 z (-.f64 x (neg.f64 y))))
(fma.f64 x z (*.f64 y (+.f64 x z)))
(*.f64 #s(literal 1 binary64) (fma.f64 y (+.f64 x z) (*.f64 x z)))
(fma.f64 x y (*.f64 z (-.f64 x (neg.f64 y))))
(fma.f64 x z (*.f64 y (+.f64 x z)))
(*.f64 (cbrt.f64 (fma.f64 y (+.f64 x z) (*.f64 x z))) (pow.f64 (cbrt.f64 (fma.f64 y (+.f64 x z) (*.f64 x z))) #s(literal 2 binary64)))
(fma.f64 x y (*.f64 z (-.f64 x (neg.f64 y))))
(fma.f64 x z (*.f64 y (+.f64 x z)))
(*.f64 (cbrt.f64 (fma.f64 y (+.f64 x z) (*.f64 x z))) (*.f64 (cbrt.f64 (sqrt.f64 (fma.f64 y (+.f64 x z) (*.f64 x z)))) (sqrt.f64 (fma.f64 y (+.f64 x z) (*.f64 x z)))))
(*.f64 (cbrt.f64 (fma.f64 x z (*.f64 y (+.f64 x z)))) (*.f64 (sqrt.f64 (fma.f64 x z (*.f64 y (+.f64 x z)))) (cbrt.f64 (sqrt.f64 (fma.f64 x z (*.f64 y (+.f64 x z)))))))
(*.f64 (cbrt.f64 (fma.f64 x z (*.f64 y (+.f64 x z)))) (pow.f64 (cbrt.f64 (sqrt.f64 (fma.f64 x z (*.f64 y (+.f64 x z))))) #s(literal 4 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 y (+.f64 x z) (*.f64 x z))) #s(literal 2 binary64)) (cbrt.f64 (fma.f64 y (+.f64 x z) (*.f64 x z))))
(fma.f64 x y (*.f64 z (-.f64 x (neg.f64 y))))
(fma.f64 x z (*.f64 y (+.f64 x z)))
(*.f64 (pow.f64 (fma.f64 y (+.f64 x z) (*.f64 x z)) #s(literal 3/4 binary64)) (pow.f64 (fma.f64 y (+.f64 x z) (*.f64 x z)) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 (fma.f64 x z (*.f64 y (+.f64 x z))) #s(literal 1/4 binary64)) (pow.f64 (fma.f64 x z (*.f64 y (+.f64 x z))) #s(literal 3/4 binary64)))
(*.f64 (*.f64 (sqrt.f64 (fma.f64 y (+.f64 x z) (*.f64 x z))) (cbrt.f64 (fma.f64 y (+.f64 x z) (*.f64 x z)))) (cbrt.f64 (sqrt.f64 (fma.f64 y (+.f64 x z) (*.f64 x z)))))
(*.f64 (cbrt.f64 (sqrt.f64 (fma.f64 x z (*.f64 y (+.f64 x z))))) (*.f64 (sqrt.f64 (fma.f64 x z (*.f64 y (+.f64 x z)))) (cbrt.f64 (fma.f64 x z (*.f64 y (+.f64 x z))))))
(/.f64 (+.f64 (pow.f64 (*.f64 y (+.f64 x z)) #s(literal 3 binary64)) (pow.f64 (*.f64 x z) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 y (+.f64 x z)) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 x z) #s(literal 2 binary64)) (*.f64 (*.f64 y (+.f64 x z)) (*.f64 x z)))))
(/.f64 (+.f64 (pow.f64 (*.f64 x z) #s(literal 3 binary64)) (pow.f64 (*.f64 y (+.f64 x z)) #s(literal 3 binary64))) (-.f64 (+.f64 (pow.f64 (*.f64 y (+.f64 x z)) #s(literal 2 binary64)) (pow.f64 (*.f64 x z) #s(literal 2 binary64))) (*.f64 x (*.f64 z (*.f64 y (+.f64 x z))))))
(/.f64 (+.f64 (pow.f64 (*.f64 x z) #s(literal 3 binary64)) (pow.f64 (*.f64 y (+.f64 x z)) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 y (+.f64 x z)) #s(literal 2 binary64)) (*.f64 (*.f64 x z) (-.f64 (*.f64 x z) (*.f64 y (+.f64 x z))))))
(/.f64 (+.f64 (pow.f64 (*.f64 x z) #s(literal 3 binary64)) (pow.f64 (*.f64 y (+.f64 x z)) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 x z) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 y (+.f64 x z)) #s(literal 2 binary64)) (*.f64 (*.f64 x z) (*.f64 y (+.f64 x z))))))
(/.f64 (+.f64 (pow.f64 (*.f64 x z) #s(literal 3 binary64)) (pow.f64 (*.f64 y (+.f64 x z)) #s(literal 3 binary64))) (-.f64 (+.f64 (pow.f64 (*.f64 x z) #s(literal 2 binary64)) (pow.f64 (*.f64 y (+.f64 x z)) #s(literal 2 binary64))) (*.f64 x (*.f64 z (*.f64 y (+.f64 x z))))))
(/.f64 (+.f64 (pow.f64 (*.f64 x z) #s(literal 3 binary64)) (pow.f64 (*.f64 y (+.f64 x z)) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 x z) #s(literal 2 binary64)) (*.f64 (*.f64 y (+.f64 x z)) (-.f64 (*.f64 y (+.f64 x z)) (*.f64 x z)))))
(/.f64 (-.f64 (pow.f64 (*.f64 y (+.f64 x z)) #s(literal 2 binary64)) (pow.f64 (*.f64 x z) #s(literal 2 binary64))) (-.f64 (*.f64 y (+.f64 x z)) (*.f64 x z)))
(/.f64 (-.f64 (pow.f64 (*.f64 x z) #s(literal 2 binary64)) (pow.f64 (*.f64 y (+.f64 x z)) #s(literal 2 binary64))) (-.f64 (*.f64 x z) (*.f64 y (+.f64 x z))))
(pow.f64 (fma.f64 y (+.f64 x z) (*.f64 x z)) #s(literal 1 binary64))
(fma.f64 x y (*.f64 z (-.f64 x (neg.f64 y))))
(fma.f64 x z (*.f64 y (+.f64 x z)))
(pow.f64 (pow.f64 (fma.f64 y (+.f64 x z) (*.f64 x z)) #s(literal 1/4 binary64)) #s(literal 4 binary64))
(fma.f64 x y (*.f64 z (-.f64 x (neg.f64 y))))
(fma.f64 x z (*.f64 y (+.f64 x z)))
(pow.f64 (sqrt.f64 (fma.f64 y (+.f64 x z) (*.f64 x z))) #s(literal 2 binary64))
(fma.f64 x y (*.f64 z (-.f64 x (neg.f64 y))))
(fma.f64 x z (*.f64 y (+.f64 x z)))
(pow.f64 (pow.f64 (fma.f64 y (+.f64 x z) (*.f64 x z)) #s(literal 3/2 binary64)) #s(literal 2/3 binary64))
(pow.f64 (pow.f64 (fma.f64 x z (*.f64 y (+.f64 x z))) #s(literal 3/2 binary64)) #s(literal 2/3 binary64))
(pow.f64 (cbrt.f64 (fma.f64 y (+.f64 x z) (*.f64 x z))) #s(literal 3 binary64))
(fma.f64 x y (*.f64 z (-.f64 x (neg.f64 y))))
(fma.f64 x z (*.f64 y (+.f64 x z)))
(pow.f64 (pow.f64 (fma.f64 y (+.f64 x z) (*.f64 x z)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(fma.f64 x y (*.f64 z (-.f64 x (neg.f64 y))))
(fma.f64 x z (*.f64 y (+.f64 x z)))
(pow.f64 (pow.f64 (fma.f64 y (+.f64 x z) (*.f64 x z)) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(sqrt.f64 (pow.f64 (fma.f64 x z (*.f64 y (+.f64 x z))) #s(literal 2 binary64)))
(fabs.f64 (fma.f64 x z (*.f64 y (+.f64 x z))))
(sqrt.f64 (pow.f64 (fma.f64 y (+.f64 x z) (*.f64 x z)) #s(literal 2 binary64)))
(sqrt.f64 (pow.f64 (fma.f64 x z (*.f64 y (+.f64 x z))) #s(literal 2 binary64)))
(fabs.f64 (fma.f64 x z (*.f64 y (+.f64 x z))))
(log.f64 (exp.f64 (fma.f64 y (+.f64 x z) (*.f64 x z))))
(fma.f64 x y (*.f64 z (-.f64 x (neg.f64 y))))
(fma.f64 x z (*.f64 y (+.f64 x z)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 y (+.f64 x z) (*.f64 x z)))))
(fma.f64 x y (*.f64 z (-.f64 x (neg.f64 y))))
(fma.f64 x z (*.f64 y (+.f64 x z)))
(cbrt.f64 (pow.f64 (fma.f64 y (+.f64 x z) (*.f64 x z)) #s(literal 3 binary64)))
(fma.f64 x y (*.f64 z (-.f64 x (neg.f64 y))))
(fma.f64 x z (*.f64 y (+.f64 x z)))
(expm1.f64 (log1p.f64 (fma.f64 y (+.f64 x z) (*.f64 x z))))
(expm1.f64 (log1p.f64 (fma.f64 x z (*.f64 y (+.f64 x z)))))
(log1p.f64 (expm1.f64 (fma.f64 y (+.f64 x z) (*.f64 x z))))
(fma.f64 x y (*.f64 z (-.f64 x (neg.f64 y))))
(fma.f64 x z (*.f64 y (+.f64 x z)))
(exp.f64 (log.f64 (fma.f64 y (+.f64 x z) (*.f64 x z))))
(fma.f64 x y (*.f64 z (-.f64 x (neg.f64 y))))
(fma.f64 x z (*.f64 y (+.f64 x z)))
(exp.f64 (*.f64 (log.f64 (fma.f64 y (+.f64 x z) (*.f64 x z))) #s(literal 1 binary64)))
(fma.f64 x y (*.f64 z (-.f64 x (neg.f64 y))))
(fma.f64 x z (*.f64 y (+.f64 x z)))

eval816.0ms (4.7%)

Compiler

Compiled 30609 to 18645 computations (39.1% saved)

prune509.0ms (2.9%)

Pruning

28 alts after pruning (25 fresh and 3 done)

PrunedKeptTotal
New79322815
Fresh9312
Picked325
Done011
Total80528833
Accuracy
98.0%
Counts
833 → 28
Alt Table
Click to see full alt table
StatusAccuracyProgram
28.6%
(*.f64 #s(literal 2 binary64) (pow.f64 (pow.f64 (*.f64 z y) #s(literal 1/4 binary64)) #s(literal 2 binary64)))
36.2%
(*.f64 #s(literal 2 binary64) (pow.f64 (pow.f64 (*.f64 y x) #s(literal 1/4 binary64)) #s(literal 2 binary64)))
3.4%
(*.f64 #s(literal 2 binary64) (pow.f64 (pow.f64 (*.f64 x z) #s(literal 1/4 binary64)) #s(literal 2 binary64)))
48.5%
(*.f64 #s(literal 2 binary64) (pow.f64 (exp.f64 (*.f64 #s(literal 1/4 binary64) (+.f64 (log.f64 (+.f64 (*.f64 #s(literal -1 binary64) y) (*.f64 #s(literal -1 binary64) z))) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x)))))) #s(literal 2 binary64)))
47.5%
(*.f64 #s(literal 2 binary64) (pow.f64 (exp.f64 (*.f64 #s(literal 1/4 binary64) (+.f64 (log.f64 (*.f64 #s(literal -1 binary64) (+.f64 x z))) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) y)))))) #s(literal 2 binary64)))
29.0%
(*.f64 #s(literal 2 binary64) (pow.f64 (cbrt.f64 (sqrt.f64 (*.f64 z (+.f64 y x)))) #s(literal 3 binary64)))
35.8%
(*.f64 #s(literal 2 binary64) (pow.f64 (cbrt.f64 (sqrt.f64 (*.f64 y x))) #s(literal 3 binary64)))
28.1%
(*.f64 #s(literal 2 binary64) (+.f64 (sqrt.f64 (*.f64 y z)) (*.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 (+.f64 y z) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 y z))))))))
63.1%
(*.f64 #s(literal 2 binary64) (*.f64 (pow.f64 (fma.f64 y (+.f64 x z) (*.f64 x z)) #s(literal 1/8 binary64)) (*.f64 (pow.f64 (fma.f64 y (+.f64 x z) (*.f64 x z)) #s(literal 1/8 binary64)) (pow.f64 (fma.f64 y (+.f64 x z) (*.f64 x z)) #s(literal 1/4 binary64)))))
46.2%
(*.f64 #s(literal 2 binary64) (*.f64 (sqrt.f64 (+.f64 y x)) (sqrt.f64 z)))
1.0%
(*.f64 #s(literal 2 binary64) (*.f64 (sqrt.f64 y) (sqrt.f64 x)))
36.0%
(*.f64 #s(literal 2 binary64) (*.f64 (cbrt.f64 (*.f64 y x)) (cbrt.f64 (sqrt.f64 (*.f64 y x)))))
38.0%
(*.f64 #s(literal 2 binary64) (*.f64 z (+.f64 (sqrt.f64 (/.f64 (+.f64 y x) z)) (*.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 z #s(literal 3 binary64)) (+.f64 y x))))))))))
32.9%
(*.f64 #s(literal 2 binary64) (*.f64 y (+.f64 (sqrt.f64 (/.f64 z y)) (*.f64 (*.f64 #s(literal 1/2 binary64) x) (sqrt.f64 (/.f64 z (pow.f64 y #s(literal 3 binary64))))))))
21.6%
(*.f64 #s(literal 2 binary64) (sqrt.f64 (fma.f64 x z (/.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) y) (-.f64 x z)))))
63.3%
(*.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (*.f64 x y) (*.f64 z (+.f64 y x)))))
52.6%
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 z (+.f64 (+.f64 x y) (*.f64 x (/.f64 y z))))))
29.5%
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 z (+.f64 y x))))
28.7%
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 z y)))
3.2%
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 z x)))
23.8%
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 y (+.f64 z (*.f64 x (/.f64 z y))))))
36.3%
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 y x)))
14.5%
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 x (+.f64 z (*.f64 y (/.f64 z x))))))
37.1%
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 x (+.f64 z y))))
18.4%
(*.f64 #s(literal 2 binary64) (sqrt.f64 (sqrt.f64 (pow.f64 (*.f64 z (+.f64 x y)) #s(literal 2 binary64)))))
27.7%
(*.f64 #s(literal 2 binary64) (exp.f64 (*.f64 (log.f64 (*.f64 z (+.f64 y x))) #s(literal 1/2 binary64))))
21.2%
(*.f64 #s(literal 2 binary64) (cbrt.f64 (pow.f64 (*.f64 z (+.f64 y x)) #s(literal 3/2 binary64))))
24.7%
(*.f64 #s(literal 2 binary64) (cbrt.f64 (pow.f64 (*.f64 y x) #s(literal 3/2 binary64))))
Compiler

Compiled 847 to 613 computations (27.6% saved)

localize537.0ms (3.1%)

Localize:

Found 12 expressions with local error:

NewAccuracyProgram
99.9%
(*.f64 (cbrt.f64 (*.f64 y x)) (cbrt.f64 (sqrt.f64 (*.f64 y x))))
99.8%
(cbrt.f64 (sqrt.f64 (*.f64 y x)))
95.2%
(sqrt.f64 (*.f64 y x))
95.0%
(cbrt.f64 (*.f64 y x))
100.0%
(pow.f64 (*.f64 z (+.f64 y x)) #s(literal 3/2 binary64))
85.9%
(cbrt.f64 (pow.f64 (*.f64 z (+.f64 y x)) #s(literal 3/2 binary64)))
99.9%
(*.f64 (sqrt.f64 y) (sqrt.f64 x))
97.4%
(sqrt.f64 (*.f64 z x))
99.9%
(*.f64 (pow.f64 (fma.f64 y (+.f64 x z) (*.f64 x z)) #s(literal 1/8 binary64)) (*.f64 (pow.f64 (fma.f64 y (+.f64 x z) (*.f64 x z)) #s(literal 1/8 binary64)) (pow.f64 (fma.f64 y (+.f64 x z) (*.f64 x z)) #s(literal 1/4 binary64))))
99.9%
(*.f64 (pow.f64 (fma.f64 y (+.f64 x z) (*.f64 x z)) #s(literal 1/8 binary64)) (pow.f64 (fma.f64 y (+.f64 x z) (*.f64 x z)) #s(literal 1/4 binary64)))
90.0%
(pow.f64 (fma.f64 y (+.f64 x z) (*.f64 x z)) #s(literal 1/4 binary64))
90.0%
(pow.f64 (fma.f64 y (+.f64 x z) (*.f64 x z)) #s(literal 1/8 binary64))
Compiler

Compiled 245 to 70 computations (71.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 305.0ms
Operation ival-pow, time spent: 210.0ms, 69.0% of total-time
Operation ival-mult, time spent: 67.0ms, 22.0% of total-time
Operation ival-cbrt, time spent: 8.0ms, 3.0% of total-time
Operation ival-sqrt, time spent: 7.0ms, 2.0% of total-time
Operation ival-add, time spent: 5.0ms, 2.0% of total-time
Operation composed, time spent: 4.0ms, 1.0% of total-time
Operation const, time spent: 4.0ms, 1.0% of total-time

series514.0ms (2.9%)

Counts
10 → 300
Calls
Call 1
Inputs
#<alt (pow.f64 (fma.f64 y (+.f64 x z) (*.f64 x z)) #s(literal 1/8 binary64))>
#<alt (*.f64 (pow.f64 (fma.f64 y (+.f64 x z) (*.f64 x z)) #s(literal 1/8 binary64)) (pow.f64 (fma.f64 y (+.f64 x z) (*.f64 x z)) #s(literal 1/4 binary64)))>
#<alt (*.f64 (pow.f64 (fma.f64 y (+.f64 x z) (*.f64 x z)) #s(literal 1/8 binary64)) (*.f64 (pow.f64 (fma.f64 y (+.f64 x z) (*.f64 x z)) #s(literal 1/8 binary64)) (pow.f64 (fma.f64 y (+.f64 x z) (*.f64 x z)) #s(literal 1/4 binary64))))>
#<alt (sqrt.f64 (*.f64 z x))>
#<alt (*.f64 (sqrt.f64 y) (sqrt.f64 x))>
#<alt (cbrt.f64 (pow.f64 (*.f64 z (+.f64 y x)) #s(literal 3/2 binary64)))>
#<alt (pow.f64 (*.f64 z (+.f64 y x)) #s(literal 3/2 binary64))>
#<alt (cbrt.f64 (*.f64 y x))>
#<alt (cbrt.f64 (sqrt.f64 (*.f64 y x)))>
#<alt (*.f64 (cbrt.f64 (*.f64 y x)) (cbrt.f64 (sqrt.f64 (*.f64 y x))))>
Outputs
#<alt (pow.f64 (*.f64 #s(literal 1 binary64) (*.f64 x z)) #s(literal 1/8 binary64))>
#<alt (+.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 (pow.f64 (*.f64 #s(literal 1 binary64) (*.f64 x z)) #s(literal 1/8 binary64)) (*.f64 y (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) z))))) (pow.f64 (*.f64 #s(literal 1 binary64) (*.f64 x z)) #s(literal 1/8 binary64)))>
#<alt (+.f64 (*.f64 y (+.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 (pow.f64 (*.f64 #s(literal 1 binary64) (*.f64 x z)) #s(literal 1/8 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) z)))) (*.f64 (pow.f64 (*.f64 #s(literal 1 binary64) (*.f64 x z)) #s(literal 1/8 binary64)) (*.f64 y (+.f64 (*.f64 #s(literal -1/16 binary64) (/.f64 (pow.f64 (+.f64 x z) #s(literal 2 binary64)) (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))) (*.f64 #s(literal 1/128 binary64) (pow.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) z)) #s(literal 2 binary64)))))))) (pow.f64 (*.f64 #s(literal 1 binary64) (*.f64 x z)) #s(literal 1/8 binary64)))>
#<alt (+.f64 (*.f64 y (+.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 (pow.f64 (*.f64 #s(literal 1 binary64) (*.f64 x z)) #s(literal 1/8 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) z)))) (*.f64 y (+.f64 (*.f64 (pow.f64 (*.f64 #s(literal 1 binary64) (*.f64 x z)) #s(literal 1/8 binary64)) (*.f64 y (+.f64 (*.f64 #s(literal -1/128 binary64) (/.f64 (*.f64 (pow.f64 (+.f64 x z) #s(literal 2 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) z))) (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))) (+.f64 (*.f64 #s(literal 1/3072 binary64) (pow.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) z)) #s(literal 3 binary64))) (*.f64 #s(literal 1/24 binary64) (/.f64 (pow.f64 (+.f64 x z) #s(literal 3 binary64)) (*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))))))))) (*.f64 (pow.f64 (*.f64 #s(literal 1 binary64) (*.f64 x z)) #s(literal 1/8 binary64)) (+.f64 (*.f64 #s(literal -1/16 binary64) (/.f64 (pow.f64 (+.f64 x z) #s(literal 2 binary64)) (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))) (*.f64 #s(literal 1/128 binary64) (pow.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) z)) #s(literal 2 binary64))))))))) (pow.f64 (*.f64 #s(literal 1 binary64) (*.f64 x z)) #s(literal 1/8 binary64)))>
#<alt (exp.f64 (*.f64 #s(literal 1/8 binary64) (+.f64 (log.f64 (+.f64 x z)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) y))))))>
#<alt (+.f64 (exp.f64 (*.f64 #s(literal 1/8 binary64) (+.f64 (log.f64 (+.f64 x z)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) y)))))) (*.f64 #s(literal 1/8 binary64) (/.f64 (*.f64 x (*.f64 z (exp.f64 (*.f64 #s(literal 1/8 binary64) (+.f64 (log.f64 (+.f64 x z)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) y)))))))) (*.f64 y (+.f64 x z)))))>
#<alt (+.f64 (exp.f64 (*.f64 #s(literal 1/8 binary64) (+.f64 (log.f64 (+.f64 x z)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) y)))))) (+.f64 (*.f64 #s(literal 1/8 binary64) (/.f64 (*.f64 x (*.f64 z (exp.f64 (*.f64 #s(literal 1/8 binary64) (+.f64 (log.f64 (+.f64 x z)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) y)))))))) (*.f64 y (+.f64 x z)))) (/.f64 (*.f64 (exp.f64 (*.f64 #s(literal 1/8 binary64) (+.f64 (log.f64 (+.f64 x z)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) y)))))) (+.f64 (*.f64 #s(literal -1/16 binary64) (/.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (pow.f64 (+.f64 x z) #s(literal 2 binary64)))) (*.f64 #s(literal 1/128 binary64) (/.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (pow.f64 (+.f64 x z) #s(literal 2 binary64)))))) (pow.f64 y #s(literal 2 binary64)))))>
#<alt (+.f64 (exp.f64 (*.f64 #s(literal 1/8 binary64) (+.f64 (log.f64 (+.f64 x z)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) y)))))) (+.f64 (*.f64 #s(literal 1/8 binary64) (/.f64 (*.f64 x (*.f64 z (exp.f64 (*.f64 #s(literal 1/8 binary64) (+.f64 (log.f64 (+.f64 x z)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) y)))))))) (*.f64 y (+.f64 x z)))) (+.f64 (/.f64 (*.f64 (exp.f64 (*.f64 #s(literal 1/8 binary64) (+.f64 (log.f64 (+.f64 x z)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) y)))))) (+.f64 (*.f64 #s(literal -1/16 binary64) (/.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (pow.f64 (+.f64 x z) #s(literal 2 binary64)))) (*.f64 #s(literal 1/128 binary64) (/.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (pow.f64 (+.f64 x z) #s(literal 2 binary64)))))) (pow.f64 y #s(literal 2 binary64))) (/.f64 (*.f64 (exp.f64 (*.f64 #s(literal 1/8 binary64) (+.f64 (log.f64 (+.f64 x z)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) y)))))) (+.f64 (*.f64 #s(literal -1/128 binary64) (/.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) (pow.f64 (+.f64 x z) #s(literal 3 binary64)))) (+.f64 (*.f64 #s(literal 1/3072 binary64) (/.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) (pow.f64 (+.f64 x z) #s(literal 3 binary64)))) (*.f64 #s(literal 1/24 binary64) (/.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) (pow.f64 (+.f64 x z) #s(literal 3 binary64))))))) (pow.f64 y #s(literal 3 binary64))))))>
#<alt (exp.f64 (*.f64 #s(literal 1/8 binary64) (+.f64 (log.f64 (*.f64 #s(literal -1 binary64) (+.f64 x z))) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) y))))))>
#<alt (+.f64 (exp.f64 (*.f64 #s(literal 1/8 binary64) (+.f64 (log.f64 (*.f64 #s(literal -1 binary64) (+.f64 x z))) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) y)))))) (*.f64 #s(literal 1/8 binary64) (/.f64 (*.f64 x (*.f64 z (exp.f64 (*.f64 #s(literal 1/8 binary64) (+.f64 (log.f64 (*.f64 #s(literal -1 binary64) (+.f64 x z))) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) y)))))))) (*.f64 y (+.f64 x z)))))>
#<alt (+.f64 (exp.f64 (*.f64 #s(literal 1/8 binary64) (+.f64 (log.f64 (*.f64 #s(literal -1 binary64) (+.f64 x z))) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) y)))))) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 (exp.f64 (*.f64 #s(literal 1/8 binary64) (+.f64 (log.f64 (*.f64 #s(literal -1 binary64) (+.f64 x z))) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) y)))))) (+.f64 (*.f64 #s(literal -1/16 binary64) (/.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (pow.f64 (+.f64 x z) #s(literal 2 binary64)))) (*.f64 #s(literal 1/128 binary64) (/.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (pow.f64 (+.f64 x z) #s(literal 2 binary64)))))) y)) (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 x (*.f64 z (exp.f64 (*.f64 #s(literal 1/8 binary64) (+.f64 (log.f64 (*.f64 #s(literal -1 binary64) (+.f64 x z))) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) y)))))))) (+.f64 x z)))) y)))>
#<alt (+.f64 (exp.f64 (*.f64 #s(literal 1/8 binary64) (+.f64 (log.f64 (*.f64 #s(literal -1 binary64) (+.f64 x z))) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) y)))))) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 (exp.f64 (*.f64 #s(literal 1/8 binary64) (+.f64 (log.f64 (*.f64 #s(literal -1 binary64) (+.f64 x z))) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) y)))))) (+.f64 (*.f64 #s(literal -1/24 binary64) (/.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) (pow.f64 (+.f64 x z) #s(literal 3 binary64)))) (+.f64 (*.f64 #s(literal -1/3072 binary64) (/.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) (pow.f64 (+.f64 x z) #s(literal 3 binary64)))) (*.f64 #s(literal 1/128 binary64) (/.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) (pow.f64 (+.f64 x z) #s(literal 3 binary64))))))) y)) (*.f64 (exp.f64 (*.f64 #s(literal 1/8 binary64) (+.f64 (log.f64 (*.f64 #s(literal -1 binary64) (+.f64 x z))) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) y)))))) (+.f64 (*.f64 #s(literal -1/16 binary64) (/.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (pow.f64 (+.f64 x z) #s(literal 2 binary64)))) (*.f64 #s(literal 1/128 binary64) (/.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (pow.f64 (+.f64 x z) #s(literal 2 binary64))))))) y)) (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 x (*.f64 z (exp.f64 (*.f64 #s(literal 1/8 binary64) (+.f64 (log.f64 (*.f64 #s(literal -1 binary64) (+.f64 x z))) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) y)))))))) (+.f64 x z)))) y)))>
#<alt (pow.f64 (*.f64 #s(literal 1 binary64) (*.f64 y z)) #s(literal 1/8 binary64))>
#<alt (+.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 (pow.f64 (*.f64 #s(literal 1 binary64) (*.f64 y z)) #s(literal 1/8 binary64)) (*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 1 binary64) z))))) (pow.f64 (*.f64 #s(literal 1 binary64) (*.f64 y z)) #s(literal 1/8 binary64)))>
#<alt (+.f64 (*.f64 x (+.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 (pow.f64 (*.f64 #s(literal 1 binary64) (*.f64 y z)) #s(literal 1/8 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 1 binary64) z)))) (*.f64 (pow.f64 (*.f64 #s(literal 1 binary64) (*.f64 y z)) #s(literal 1/8 binary64)) (*.f64 x (+.f64 (*.f64 #s(literal -1/16 binary64) (/.f64 (pow.f64 (+.f64 y z) #s(literal 2 binary64)) (*.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))) (*.f64 #s(literal 1/128 binary64) (pow.f64 (+.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 1 binary64) z)) #s(literal 2 binary64)))))))) (pow.f64 (*.f64 #s(literal 1 binary64) (*.f64 y z)) #s(literal 1/8 binary64)))>
#<alt (+.f64 (*.f64 x (+.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 (pow.f64 (*.f64 #s(literal 1 binary64) (*.f64 y z)) #s(literal 1/8 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 1 binary64) z)))) (*.f64 x (+.f64 (*.f64 (pow.f64 (*.f64 #s(literal 1 binary64) (*.f64 y z)) #s(literal 1/8 binary64)) (*.f64 x (+.f64 (*.f64 #s(literal -1/128 binary64) (/.f64 (*.f64 (pow.f64 (+.f64 y z) #s(literal 2 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 1 binary64) z))) (*.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))) (+.f64 (*.f64 #s(literal 1/3072 binary64) (pow.f64 (+.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 1 binary64) z)) #s(literal 3 binary64))) (*.f64 #s(literal 1/24 binary64) (/.f64 (pow.f64 (+.f64 y z) #s(literal 3 binary64)) (*.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))))))))) (*.f64 (pow.f64 (*.f64 #s(literal 1 binary64) (*.f64 y z)) #s(literal 1/8 binary64)) (+.f64 (*.f64 #s(literal -1/16 binary64) (/.f64 (pow.f64 (+.f64 y z) #s(literal 2 binary64)) (*.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))) (*.f64 #s(literal 1/128 binary64) (pow.f64 (+.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 1 binary64) z)) #s(literal 2 binary64))))))))) (pow.f64 (*.f64 #s(literal 1 binary64) (*.f64 y z)) #s(literal 1/8 binary64)))>
#<alt (exp.f64 (*.f64 #s(literal 1/8 binary64) (+.f64 (log.f64 (+.f64 y z)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) x))))))>
#<alt (+.f64 (exp.f64 (*.f64 #s(literal 1/8 binary64) (+.f64 (log.f64 (+.f64 y z)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) x)))))) (*.f64 #s(literal 1/8 binary64) (/.f64 (*.f64 y (*.f64 z (exp.f64 (*.f64 #s(literal 1/8 binary64) (+.f64 (log.f64 (+.f64 y z)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) x)))))))) (*.f64 x (+.f64 y z)))))>
#<alt (+.f64 (exp.f64 (*.f64 #s(literal 1/8 binary64) (+.f64 (log.f64 (+.f64 y z)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) x)))))) (+.f64 (*.f64 #s(literal 1/8 binary64) (/.f64 (*.f64 y (*.f64 z (exp.f64 (*.f64 #s(literal 1/8 binary64) (+.f64 (log.f64 (+.f64 y z)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) x)))))))) (*.f64 x (+.f64 y z)))) (/.f64 (*.f64 (exp.f64 (*.f64 #s(literal 1/8 binary64) (+.f64 (log.f64 (+.f64 y z)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) x)))))) (+.f64 (*.f64 #s(literal -1/16 binary64) (/.f64 (*.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (pow.f64 (+.f64 y z) #s(literal 2 binary64)))) (*.f64 #s(literal 1/128 binary64) (/.f64 (*.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (pow.f64 (+.f64 y z) #s(literal 2 binary64)))))) (pow.f64 x #s(literal 2 binary64)))))>
#<alt (+.f64 (exp.f64 (*.f64 #s(literal 1/8 binary64) (+.f64 (log.f64 (+.f64 y z)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) x)))))) (+.f64 (*.f64 #s(literal 1/8 binary64) (/.f64 (*.f64 y (*.f64 z (exp.f64 (*.f64 #s(literal 1/8 binary64) (+.f64 (log.f64 (+.f64 y z)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) x)))))))) (*.f64 x (+.f64 y z)))) (+.f64 (/.f64 (*.f64 (exp.f64 (*.f64 #s(literal 1/8 binary64) (+.f64 (log.f64 (+.f64 y z)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) x)))))) (+.f64 (*.f64 #s(literal -1/16 binary64) (/.f64 (*.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (pow.f64 (+.f64 y z) #s(literal 2 binary64)))) (*.f64 #s(literal 1/128 binary64) (/.f64 (*.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (pow.f64 (+.f64 y z) #s(literal 2 binary64)))))) (pow.f64 x #s(literal 2 binary64))) (/.f64 (*.f64 (exp.f64 (*.f64 #s(literal 1/8 binary64) (+.f64 (log.f64 (+.f64 y z)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) x)))))) (+.f64 (*.f64 #s(literal -1/128 binary64) (/.f64 (*.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) (pow.f64 (+.f64 y z) #s(literal 3 binary64)))) (+.f64 (*.f64 #s(literal 1/3072 binary64) (/.f64 (*.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) (pow.f64 (+.f64 y z) #s(literal 3 binary64)))) (*.f64 #s(literal 1/24 binary64) (/.f64 (*.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) (pow.f64 (+.f64 y z) #s(literal 3 binary64))))))) (pow.f64 x #s(literal 3 binary64))))))>
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#<alt (*.f64 (exp.f64 (*.f64 #s(literal 1/6 binary64) (+.f64 (log.f64 y) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x)))))) (cbrt.f64 (sqrt.f64 #s(literal -1 binary64))))>
#<alt (*.f64 (exp.f64 (*.f64 #s(literal 1/6 binary64) (+.f64 (log.f64 y) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x)))))) (cbrt.f64 (sqrt.f64 #s(literal -1 binary64))))>
#<alt (*.f64 (exp.f64 (*.f64 #s(literal 1/6 binary64) (+.f64 (log.f64 y) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x)))))) (cbrt.f64 (sqrt.f64 #s(literal -1 binary64))))>
#<alt (*.f64 (exp.f64 (*.f64 #s(literal 1/6 binary64) (+.f64 (log.f64 y) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x)))))) (cbrt.f64 (sqrt.f64 #s(literal -1 binary64))))>
#<alt (sqrt.f64 (*.f64 x y))>
#<alt (sqrt.f64 (*.f64 x y))>
#<alt (sqrt.f64 (*.f64 x y))>
#<alt (sqrt.f64 (*.f64 x y))>
#<alt (sqrt.f64 (*.f64 x y))>
#<alt (sqrt.f64 (*.f64 x y))>
#<alt (sqrt.f64 (*.f64 x y))>
#<alt (sqrt.f64 (*.f64 x y))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 (*.f64 x y)) (*.f64 (cbrt.f64 #s(literal -1 binary64)) (cbrt.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 (*.f64 x y)) (*.f64 (cbrt.f64 #s(literal -1 binary64)) (cbrt.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 (*.f64 x y)) (*.f64 (cbrt.f64 #s(literal -1 binary64)) (cbrt.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 (*.f64 x y)) (*.f64 (cbrt.f64 #s(literal -1 binary64)) (cbrt.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64))))))>
#<alt (sqrt.f64 (*.f64 x y))>
#<alt (sqrt.f64 (*.f64 x y))>
#<alt (sqrt.f64 (*.f64 x y))>
#<alt (sqrt.f64 (*.f64 x y))>
#<alt (sqrt.f64 (*.f64 x y))>
#<alt (sqrt.f64 (*.f64 x y))>
#<alt (sqrt.f64 (*.f64 x y))>
#<alt (sqrt.f64 (*.f64 x y))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 (*.f64 x y)) (*.f64 (cbrt.f64 #s(literal -1 binary64)) (cbrt.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 (*.f64 x y)) (*.f64 (cbrt.f64 #s(literal -1 binary64)) (cbrt.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 (*.f64 x y)) (*.f64 (cbrt.f64 #s(literal -1 binary64)) (cbrt.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 (*.f64 x y)) (*.f64 (cbrt.f64 #s(literal -1 binary64)) (cbrt.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64))))))>
Calls

75 calls:

TimeVariablePointExpression
154.0ms
y
@0
(* (pow (+ (* y (+ x z)) (* x z)) 1/8) (* (pow (+ (* y (+ x z)) (* x z)) 1/8) (pow (+ (* y (+ x z)) (* x z)) 1/4)))
85.0ms
y
@0
(cbrt (sqrt (* y x)))
70.0ms
y
@inf
(cbrt (sqrt (* y x)))
22.0ms
x
@-inf
(pow (* z (+ y x)) 3/2)
17.0ms
x
@inf
(cbrt (sqrt (* y x)))

rewrite190.0ms (1.1%)

Algorithm
batch-egg-rewrite
Rules
1155×log1p-expm1-u
406×expm1-log1p-u
396×associate-*r*
244×associate-*l*
218×unpow-prod-down
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
035322
1525265
25702265
Stop Event
node limit
Counts
10 → 217
Calls
Call 1
Inputs
(pow.f64 (fma.f64 y (+.f64 x z) (*.f64 x z)) #s(literal 1/8 binary64))
(*.f64 (pow.f64 (fma.f64 y (+.f64 x z) (*.f64 x z)) #s(literal 1/8 binary64)) (pow.f64 (fma.f64 y (+.f64 x z) (*.f64 x z)) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 (fma.f64 y (+.f64 x z) (*.f64 x z)) #s(literal 1/8 binary64)) (*.f64 (pow.f64 (fma.f64 y (+.f64 x z) (*.f64 x z)) #s(literal 1/8 binary64)) (pow.f64 (fma.f64 y (+.f64 x z) (*.f64 x z)) #s(literal 1/4 binary64))))
(sqrt.f64 (*.f64 z x))
(*.f64 (sqrt.f64 y) (sqrt.f64 x))
(cbrt.f64 (pow.f64 (*.f64 z (+.f64 y x)) #s(literal 3/2 binary64)))
(pow.f64 (*.f64 z (+.f64 y x)) #s(literal 3/2 binary64))
(cbrt.f64 (*.f64 y x))
(cbrt.f64 (sqrt.f64 (*.f64 y x)))
(*.f64 (cbrt.f64 (*.f64 y x)) (cbrt.f64 (sqrt.f64 (*.f64 y x))))
Outputs
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (fma.f64 y (+.f64 x z) (*.f64 x z)) #s(literal 1/8 binary64)))) #s(literal 1 binary64))
(*.f64 (pow.f64 (fma.f64 y (+.f64 x z) (*.f64 x z)) #s(literal 1/8 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 y (+.f64 x z) (*.f64 x z)) #s(literal 1/8 binary64)))
(*.f64 (cbrt.f64 (pow.f64 (fma.f64 y (+.f64 x z) (*.f64 x z)) #s(literal 1/4 binary64))) (cbrt.f64 (pow.f64 (fma.f64 y (+.f64 x z) (*.f64 x z)) #s(literal 1/8 binary64))))
(*.f64 (cbrt.f64 (pow.f64 (fma.f64 y (+.f64 x z) (*.f64 x z)) #s(literal 1/8 binary64))) (cbrt.f64 (pow.f64 (fma.f64 y (+.f64 x z) (*.f64 x z)) #s(literal 1/4 binary64))))
(*.f64 (pow.f64 (fma.f64 y (+.f64 x z) (*.f64 x z)) #s(literal 1/16 binary64)) (pow.f64 (fma.f64 y (+.f64 x z) (*.f64 x z)) #s(literal 1/16 binary64)))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/8 binary64)) (pow.f64 (fma.f64 y (+.f64 x z) (*.f64 x z)) #s(literal 1/8 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (fma.f64 y (+.f64 x z) (*.f64 x z)) #s(literal 2 binary64))) #s(literal 1/8 binary64)) (pow.f64 (cbrt.f64 (fma.f64 y (+.f64 x z) (*.f64 x z))) #s(literal 1/8 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (fma.f64 y (+.f64 x z) (*.f64 x z))) #s(literal 1/8 binary64)) (pow.f64 (sqrt.f64 (fma.f64 y (+.f64 x z) (*.f64 x z))) #s(literal 1/8 binary64)))
(*.f64 (sqrt.f64 (cbrt.f64 (sqrt.f64 (fma.f64 y (+.f64 x z) (*.f64 x z))))) (sqrt.f64 (cbrt.f64 (pow.f64 (fma.f64 y (+.f64 x z) (*.f64 x z)) #s(literal 1/4 binary64)))))
(sqrt.f64 (pow.f64 (fma.f64 y (+.f64 x z) (*.f64 x z)) #s(literal 1/4 binary64)))
(fabs.f64 (pow.f64 (fma.f64 y (+.f64 x z) (*.f64 x z)) #s(literal 1/8 binary64)))
(log.f64 (exp.f64 (pow.f64 (fma.f64 y (+.f64 x z) (*.f64 x z)) #s(literal 1/8 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (pow.f64 (fma.f64 y (+.f64 x z) (*.f64 x z)) #s(literal 1/8 binary64)))))
(cbrt.f64 (pow.f64 (fma.f64 y (+.f64 x z) (*.f64 x z)) #s(literal 3/8 binary64)))
(expm1.f64 (log1p.f64 (pow.f64 (fma.f64 y (+.f64 x z) (*.f64 x z)) #s(literal 1/8 binary64))))
(log1p.f64 (expm1.f64 (pow.f64 (fma.f64 y (+.f64 x z) (*.f64 x z)) #s(literal 1/8 binary64))))
(exp.f64 (*.f64 #s(literal 1/8 binary64) (log.f64 (fma.f64 y (+.f64 x z) (*.f64 x z)))))
(exp.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (log.f64 (fma.f64 y (+.f64 x z) (*.f64 x z)))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (fma.f64 y (+.f64 x z) (*.f64 x z)) #s(literal 3/8 binary64)))) #s(literal 1 binary64))
(pow.f64 (fma.f64 y (+.f64 x z) (*.f64 x z)) #s(literal 3/8 binary64))
(pow.f64 (pow.f64 (fma.f64 y (+.f64 x z) (*.f64 x z)) #s(literal 1/8 binary64)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (fma.f64 y (+.f64 x z) (*.f64 x z)) #s(literal 3/8 binary64)) #s(literal 1 binary64))
(pow.f64 (pow.f64 (pow.f64 (fma.f64 y (+.f64 x z) (*.f64 x z)) #s(literal 3/8 binary64)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (pow.f64 (fma.f64 y (+.f64 x z) (*.f64 x z)) #s(literal 3/16 binary64)) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (fma.f64 y (+.f64 x z) (*.f64 x z)) #s(literal 3/4 binary64)))
(log.f64 (exp.f64 (pow.f64 (fma.f64 y (+.f64 x z) (*.f64 x z)) #s(literal 3/8 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (pow.f64 (fma.f64 y (+.f64 x z) (*.f64 x z)) #s(literal 3/8 binary64)))))
(cbrt.f64 (pow.f64 (pow.f64 (fma.f64 y (+.f64 x z) (*.f64 x z)) #s(literal 3/8 binary64)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (pow.f64 (fma.f64 y (+.f64 x z) (*.f64 x z)) #s(literal 3/8 binary64))))
(log1p.f64 (expm1.f64 (pow.f64 (fma.f64 y (+.f64 x z) (*.f64 x z)) #s(literal 3/8 binary64))))
(exp.f64 (*.f64 #s(literal 3/8 binary64) (log.f64 (fma.f64 y (+.f64 x z) (*.f64 x z)))))
(exp.f64 (*.f64 (log.f64 (fma.f64 y (+.f64 x z) (*.f64 x z))) #s(literal 3/8 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 3/8 binary64) (log.f64 (fma.f64 y (+.f64 x z) (*.f64 x z)))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (fma.f64 y (+.f64 x z) (*.f64 x z))))) #s(literal 1 binary64))
(pow.f64 (fma.f64 y (+.f64 x z) (*.f64 x z)) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (fma.f64 y (+.f64 x z) (*.f64 x z)) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(pow.f64 (sqrt.f64 (fma.f64 y (+.f64 x z) (*.f64 x z))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (sqrt.f64 (fma.f64 y (+.f64 x z) (*.f64 x z)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (fma.f64 y (+.f64 x z) (*.f64 x z)) #s(literal 2 binary64)) #s(literal 1/4 binary64))
(pow.f64 (pow.f64 (sqrt.f64 (fma.f64 y (+.f64 x z) (*.f64 x z))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(sqrt.f64 (fma.f64 y (+.f64 x z) (*.f64 x z)))
(fabs.f64 (sqrt.f64 (fma.f64 y (+.f64 x z) (*.f64 x z))))
(log.f64 (exp.f64 (sqrt.f64 (fma.f64 y (+.f64 x z) (*.f64 x z)))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (sqrt.f64 (fma.f64 y (+.f64 x z) (*.f64 x z))))))
(cbrt.f64 (pow.f64 (sqrt.f64 (fma.f64 y (+.f64 x z) (*.f64 x z))) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 (fma.f64 y (+.f64 x z) (*.f64 x z)) #s(literal 3/8 binary64)) (pow.f64 (pow.f64 (fma.f64 y (+.f64 x z) (*.f64 x z)) #s(literal 3/8 binary64)) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (sqrt.f64 (fma.f64 y (+.f64 x z) (*.f64 x z)))))
(log1p.f64 (expm1.f64 (sqrt.f64 (fma.f64 y (+.f64 x z) (*.f64 x z)))))
(exp.f64 (log.f64 (sqrt.f64 (fma.f64 y (+.f64 x z) (*.f64 x z)))))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (fma.f64 y (+.f64 x z) (*.f64 x z)))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (*.f64 x z)))) #s(literal 1 binary64))
(*.f64 (sqrt.f64 (*.f64 x z)) #s(literal 1 binary64))
(*.f64 (sqrt.f64 x) (sqrt.f64 z))
(*.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 x z)))
(*.f64 (cbrt.f64 (sqrt.f64 (*.f64 x z))) (cbrt.f64 (*.f64 x z)))
(*.f64 (cbrt.f64 (*.f64 x z)) (cbrt.f64 (sqrt.f64 (*.f64 x z))))
(*.f64 (sqrt.f64 z) (sqrt.f64 x))
(*.f64 (pow.f64 (*.f64 x z) #s(literal 1/4 binary64)) (pow.f64 (*.f64 x z) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/2 binary64)) (sqrt.f64 (*.f64 x z)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (*.f64 x z)) #s(literal 2 binary64)) #s(literal 1/2 binary64)) (pow.f64 (cbrt.f64 (*.f64 x z)) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 x z)) #s(literal 2 binary64))) (sqrt.f64 (cbrt.f64 (*.f64 x z))))
(*.f64 (*.f64 (sqrt.f64 z) #s(literal 1 binary64)) (sqrt.f64 x))
(*.f64 (*.f64 (sqrt.f64 z) (cbrt.f64 x)) (cbrt.f64 (sqrt.f64 x)))
(*.f64 (*.f64 (sqrt.f64 z) (pow.f64 x #s(literal 1/4 binary64))) (pow.f64 x #s(literal 1/4 binary64)))
(pow.f64 (*.f64 x z) #s(literal 1/2 binary64))
(pow.f64 (sqrt.f64 (*.f64 x z)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (sqrt.f64 (*.f64 x z))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 x z) #s(literal 3/2 binary64)) #s(literal 1/3 binary64))
(pow.f64 (pow.f64 (*.f64 x z) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(fabs.f64 (sqrt.f64 (*.f64 x z)))
(log.f64 (exp.f64 (sqrt.f64 (*.f64 x z))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (sqrt.f64 (*.f64 x z)))))
(cbrt.f64 (pow.f64 (*.f64 x z) #s(literal 3/2 binary64)))
(expm1.f64 (log1p.f64 (sqrt.f64 (*.f64 x z))))
(log1p.f64 (expm1.f64 (sqrt.f64 (*.f64 x z))))
(exp.f64 (log.f64 (sqrt.f64 (*.f64 x z))))
(exp.f64 (*.f64 (log.f64 (*.f64 x z)) #s(literal 1/2 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 x z))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (*.f64 y x)))) #s(literal 1 binary64))
(pow.f64 (*.f64 y x) #s(literal 1/2 binary64))
(pow.f64 (sqrt.f64 (*.f64 y x)) #s(literal 1 binary64))
(pow.f64 (pow.f64 (*.f64 y x) #s(literal 1/6 binary64)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 y x) #s(literal 3/2 binary64)) #s(literal 1/3 binary64))
(pow.f64 (pow.f64 (*.f64 y x) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(sqrt.f64 (*.f64 y x))
(fabs.f64 (sqrt.f64 (*.f64 y x)))
(log.f64 (exp.f64 (sqrt.f64 (*.f64 y x))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (sqrt.f64 (*.f64 y x)))))
(cbrt.f64 (pow.f64 (*.f64 y x) #s(literal 3/2 binary64)))
(cbrt.f64 (*.f64 (pow.f64 y #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3/2 binary64))))
(cbrt.f64 (*.f64 (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 y #s(literal 3/2 binary64))))
(expm1.f64 (log1p.f64 (sqrt.f64 (*.f64 y x))))
(log1p.f64 (expm1.f64 (sqrt.f64 (*.f64 y x))))
(exp.f64 (log.f64 (sqrt.f64 (*.f64 y x))))
(exp.f64 (*.f64 (log.f64 (*.f64 y x)) #s(literal 1/2 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 y x))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (*.f64 z (+.f64 y x))))) #s(literal 1 binary64))
(*.f64 (sqrt.f64 (*.f64 z (+.f64 y x))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 z (+.f64 y x))))
(*.f64 (cbrt.f64 (sqrt.f64 (*.f64 z (+.f64 y x)))) (cbrt.f64 (*.f64 z (+.f64 y x))))
(*.f64 (cbrt.f64 (*.f64 z (+.f64 y x))) (cbrt.f64 (sqrt.f64 (*.f64 z (+.f64 y x)))))
(*.f64 (sqrt.f64 z) (sqrt.f64 (+.f64 y x)))
(*.f64 (sqrt.f64 (sqrt.f64 (*.f64 z (+.f64 y x)))) (sqrt.f64 (sqrt.f64 (*.f64 z (+.f64 y x)))))
(*.f64 (sqrt.f64 (+.f64 y x)) (sqrt.f64 z))
(*.f64 (pow.f64 (pow.f64 z #s(literal 3/2 binary64)) #s(literal 1/3 binary64)) (pow.f64 (pow.f64 (+.f64 y x) #s(literal 3/2 binary64)) #s(literal 1/3 binary64)))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/3 binary64)) (sqrt.f64 (*.f64 z (+.f64 y x))))
(*.f64 (pow.f64 (pow.f64 (*.f64 z (+.f64 y x)) #s(literal 3/4 binary64)) #s(literal 1/3 binary64)) (pow.f64 (pow.f64 (*.f64 z (+.f64 y x)) #s(literal 3/4 binary64)) #s(literal 1/3 binary64)))
(*.f64 (cbrt.f64 (pow.f64 z #s(literal 3/2 binary64))) (cbrt.f64 (pow.f64 (+.f64 y x) #s(literal 3/2 binary64))))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 z (+.f64 y x))) #s(literal 2 binary64))) (sqrt.f64 (cbrt.f64 (*.f64 z (+.f64 y x)))))
(pow.f64 (*.f64 z (+.f64 y x)) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (*.f64 z (+.f64 y x)) #s(literal 3/2 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 z (+.f64 y x))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (sqrt.f64 (*.f64 z (+.f64 y x)))) #s(literal 3 binary64))
(pow.f64 (sqrt.f64 (sqrt.f64 (*.f64 z (+.f64 y x)))) #s(literal 2 binary64))
(sqrt.f64 (*.f64 z (+.f64 y x)))
(fabs.f64 (sqrt.f64 (*.f64 z (+.f64 y x))))
(log.f64 (exp.f64 (sqrt.f64 (*.f64 z (+.f64 y x)))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (sqrt.f64 (*.f64 z (+.f64 y x))))))
(expm1.f64 (log1p.f64 (sqrt.f64 (*.f64 z (+.f64 y x)))))
(log1p.f64 (expm1.f64 (sqrt.f64 (*.f64 z (+.f64 y x)))))
(exp.f64 (log.f64 (sqrt.f64 (*.f64 z (+.f64 y x)))))
(exp.f64 (*.f64 (*.f64 #s(literal 3/2 binary64) (log.f64 (*.f64 z (+.f64 y x)))) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 z (+.f64 y x)))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (*.f64 z (+.f64 y x)) #s(literal 3/2 binary64)))) #s(literal 1 binary64))
(*.f64 (*.f64 z (+.f64 y x)) (sqrt.f64 (*.f64 z (+.f64 y x))))
(*.f64 (pow.f64 (*.f64 z (+.f64 y x)) #s(literal 3/2 binary64)) #s(literal 1 binary64))
(*.f64 (sqrt.f64 (*.f64 z (+.f64 y x))) (*.f64 z (+.f64 y x)))
(*.f64 (pow.f64 z #s(literal 3/2 binary64)) (pow.f64 (+.f64 y x) #s(literal 3/2 binary64)))
(*.f64 (pow.f64 (+.f64 y x) #s(literal 3/2 binary64)) (pow.f64 z #s(literal 3/2 binary64)))
(*.f64 #s(literal 1 binary64) (pow.f64 (*.f64 z (+.f64 y x)) #s(literal 3/2 binary64)))
(*.f64 (pow.f64 (*.f64 z (+.f64 y x)) #s(literal 3/4 binary64)) (pow.f64 (*.f64 z (+.f64 y x)) #s(literal 3/4 binary64)))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 3/2 binary64)) (pow.f64 (*.f64 z (+.f64 y x)) #s(literal 3/2 binary64)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (*.f64 z (+.f64 y x))) #s(literal 2 binary64)) #s(literal 3/2 binary64)) (pow.f64 (cbrt.f64 (*.f64 z (+.f64 y x))) #s(literal 3/2 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (*.f64 z (+.f64 y x))) #s(literal 3/2 binary64)) (pow.f64 (sqrt.f64 (*.f64 z (+.f64 y x))) #s(literal 3/2 binary64)))
(*.f64 (*.f64 (*.f64 z (+.f64 y x)) (cbrt.f64 (*.f64 z (+.f64 y x)))) (cbrt.f64 (sqrt.f64 (*.f64 z (+.f64 y x)))))
(*.f64 (*.f64 (*.f64 z (+.f64 y x)) (sqrt.f64 (sqrt.f64 (*.f64 z (+.f64 y x))))) (sqrt.f64 (sqrt.f64 (*.f64 z (+.f64 y x)))))
(sqrt.f64 (pow.f64 (*.f64 z (+.f64 y x)) #s(literal 3 binary64)))
(log.f64 (exp.f64 (pow.f64 (*.f64 z (+.f64 y x)) #s(literal 3/2 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (pow.f64 (*.f64 z (+.f64 y x)) #s(literal 3/2 binary64)))))
(cbrt.f64 (pow.f64 (pow.f64 (*.f64 z (+.f64 y x)) #s(literal 3/2 binary64)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (pow.f64 (*.f64 z (+.f64 y x)) #s(literal 3/2 binary64))))
(log1p.f64 (expm1.f64 (pow.f64 (*.f64 z (+.f64 y x)) #s(literal 3/2 binary64))))
(exp.f64 (*.f64 #s(literal 3/2 binary64) (log.f64 (*.f64 z (+.f64 y x)))))
(exp.f64 (*.f64 (*.f64 #s(literal 3/2 binary64) (log.f64 (*.f64 z (+.f64 y x)))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (cbrt.f64 (*.f64 y x)))) #s(literal 1 binary64))
(*.f64 (cbrt.f64 (*.f64 y x)) #s(literal 1 binary64))
(*.f64 (pow.f64 (*.f64 y x) #s(literal 1/6 binary64)) (pow.f64 (*.f64 y x) #s(literal 1/6 binary64)))
(*.f64 #s(literal 1 binary64) (cbrt.f64 (*.f64 y x)))
(*.f64 (cbrt.f64 y) (cbrt.f64 x))
(*.f64 (cbrt.f64 x) (cbrt.f64 y))
(*.f64 (cbrt.f64 (cbrt.f64 (*.f64 y x))) (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 y x))) #s(literal 2 binary64)))
(*.f64 (cbrt.f64 (cbrt.f64 (*.f64 y x))) (*.f64 (cbrt.f64 (pow.f64 (*.f64 y x) #s(literal 1/6 binary64))) (pow.f64 (*.f64 y x) #s(literal 1/6 binary64))))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 y x))) #s(literal 2 binary64)) (cbrt.f64 (cbrt.f64 (*.f64 y x))))
(*.f64 (pow.f64 (*.f64 y x) #s(literal 1/4 binary64)) (pow.f64 (sqrt.f64 (*.f64 y x)) #s(literal 1/6 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (*.f64 y x)) #s(literal 1/6 binary64)) (pow.f64 (*.f64 y x) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/3 binary64)) (cbrt.f64 (*.f64 y x)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (*.f64 y x)) #s(literal 2 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (cbrt.f64 (*.f64 y x))))
(*.f64 (*.f64 (pow.f64 (*.f64 y x) #s(literal 1/6 binary64)) (cbrt.f64 (cbrt.f64 (*.f64 y x)))) (cbrt.f64 (pow.f64 (*.f64 y x) #s(literal 1/6 binary64))))
(pow.f64 (*.f64 y x) #s(literal 1/3 binary64))
(pow.f64 (cbrt.f64 (*.f64 y x)) #s(literal 1 binary64))
(pow.f64 (sqrt.f64 (*.f64 y x)) #s(literal 2/3 binary64))
(pow.f64 (pow.f64 (*.f64 y x) #s(literal 1/6 binary64)) #s(literal 2 binary64))
(pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 y x))) #s(literal 3 binary64))
(sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 y x)) #s(literal 2 binary64)))
(log.f64 (exp.f64 (cbrt.f64 (*.f64 y x))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (cbrt.f64 (*.f64 y x)))))
(expm1.f64 (log1p.f64 (cbrt.f64 (*.f64 y x))))
(log1p.f64 (expm1.f64 (cbrt.f64 (*.f64 y x))))
(exp.f64 (log.f64 (cbrt.f64 (*.f64 y x))))
(exp.f64 (*.f64 (log.f64 (*.f64 y x)) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 y x))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (*.f64 y x) #s(literal 1/6 binary64)))) #s(literal 1 binary64))
(*.f64 (pow.f64 (*.f64 y x) #s(literal 1/6 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 1/6 binary64)))
(*.f64 (cbrt.f64 (sqrt.f64 x)) (cbrt.f64 (sqrt.f64 y)))
(*.f64 (cbrt.f64 (sqrt.f64 y)) (cbrt.f64 (sqrt.f64 x)))
(*.f64 (cbrt.f64 (pow.f64 (*.f64 y x) #s(literal 1/6 binary64))) (cbrt.f64 (cbrt.f64 (*.f64 y x))))
(*.f64 (cbrt.f64 (cbrt.f64 (*.f64 y x))) (cbrt.f64 (pow.f64 (*.f64 y x) #s(literal 1/6 binary64))))
(*.f64 (pow.f64 (sqrt.f64 (*.f64 y x)) #s(literal 1/6 binary64)) (pow.f64 (sqrt.f64 (*.f64 y x)) #s(literal 1/6 binary64)))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/3 binary64)) (pow.f64 (*.f64 y x) #s(literal 1/6 binary64)))
(*.f64 (pow.f64 (pow.f64 (*.f64 y x) #s(literal 1/4 binary64)) #s(literal 1/3 binary64)) (pow.f64 (pow.f64 (*.f64 y x) #s(literal 1/4 binary64)) #s(literal 1/3 binary64)))
(*.f64 (sqrt.f64 (cbrt.f64 y)) (sqrt.f64 (cbrt.f64 x)))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 y x))) #s(literal 2 binary64))) (sqrt.f64 (cbrt.f64 (cbrt.f64 (*.f64 y x)))))
(pow.f64 (*.f64 y x) #s(literal 1/6 binary64))
(pow.f64 (cbrt.f64 (*.f64 y x)) #s(literal 1/2 binary64))
(pow.f64 (sqrt.f64 (*.f64 y x)) #s(literal 1/3 binary64))
(pow.f64 (pow.f64 (*.f64 y x) #s(literal 1/6 binary64)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (pow.f64 (*.f64 y x) #s(literal 1/6 binary64))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (sqrt.f64 (*.f64 y x)) #s(literal 1/6 binary64)) #s(literal 2 binary64))
(sqrt.f64 (cbrt.f64 (*.f64 y x)))
(fabs.f64 (pow.f64 (*.f64 y x) #s(literal 1/6 binary64)))
(log.f64 (exp.f64 (pow.f64 (*.f64 y x) #s(literal 1/6 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (pow.f64 (*.f64 y x) #s(literal 1/6 binary64)))))
(expm1.f64 (log1p.f64 (pow.f64 (*.f64 y x) #s(literal 1/6 binary64))))
(log1p.f64 (expm1.f64 (pow.f64 (*.f64 y x) #s(literal 1/6 binary64))))
(exp.f64 (log.f64 (pow.f64 (*.f64 y x) #s(literal 1/6 binary64))))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 y x))) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (*.f64 y x) #s(literal 1/6 binary64))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (*.f64 y x)))) #s(literal 1 binary64))
(pow.f64 (*.f64 y x) #s(literal 1/2 binary64))
(pow.f64 (sqrt.f64 (*.f64 y x)) #s(literal 1 binary64))
(pow.f64 (pow.f64 (*.f64 y x) #s(literal 1/6 binary64)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 y x) #s(literal 3/2 binary64)) #s(literal 1/3 binary64))
(pow.f64 (pow.f64 (*.f64 y x) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(sqrt.f64 (*.f64 y x))
(fabs.f64 (sqrt.f64 (*.f64 y x)))
(log.f64 (exp.f64 (sqrt.f64 (*.f64 y x))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (sqrt.f64 (*.f64 y x)))))
(cbrt.f64 (pow.f64 (*.f64 y x) #s(literal 3/2 binary64)))
(cbrt.f64 (*.f64 (pow.f64 y #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3/2 binary64))))
(cbrt.f64 (*.f64 (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 y #s(literal 3/2 binary64))))
(expm1.f64 (log1p.f64 (sqrt.f64 (*.f64 y x))))
(log1p.f64 (expm1.f64 (sqrt.f64 (*.f64 y x))))
(exp.f64 (log.f64 (sqrt.f64 (*.f64 y x))))
(exp.f64 (*.f64 (log.f64 (*.f64 y x)) #s(literal 1/2 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 y x))) #s(literal 1 binary64)))

simplify385.0ms (2.2%)

Algorithm
egg-herbie
Rules
1592×*-commutative
1184×times-frac
714×+-commutative
478×fma-define
456×distribute-rgt-in
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
018894295014563
160324295012866
Stop Event
node limit
Counts
517 → 672
Calls
Call 1
Inputs
(pow.f64 (*.f64 #s(literal 1 binary64) (*.f64 x z)) #s(literal 1/8 binary64))
(+.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 (pow.f64 (*.f64 #s(literal 1 binary64) (*.f64 x z)) #s(literal 1/8 binary64)) (*.f64 y (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) z))))) (pow.f64 (*.f64 #s(literal 1 binary64) (*.f64 x z)) #s(literal 1/8 binary64)))
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(+.f64 (exp.f64 (*.f64 #s(literal 1/8 binary64) (+.f64 (log.f64 (+.f64 x z)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) y)))))) (+.f64 (*.f64 #s(literal 1/8 binary64) (/.f64 (*.f64 x (*.f64 z (exp.f64 (*.f64 #s(literal 1/8 binary64) (+.f64 (log.f64 (+.f64 x z)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) y)))))))) (*.f64 y (+.f64 x z)))) (/.f64 (*.f64 (exp.f64 (*.f64 #s(literal 1/8 binary64) (+.f64 (log.f64 (+.f64 x z)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) y)))))) (+.f64 (*.f64 #s(literal -1/16 binary64) (/.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (pow.f64 (+.f64 x z) #s(literal 2 binary64)))) (*.f64 #s(literal 1/128 binary64) (/.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (pow.f64 (+.f64 x z) #s(literal 2 binary64)))))) (pow.f64 y #s(literal 2 binary64)))))
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(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 y x))) #s(literal 2 binary64)) (cbrt.f64 (cbrt.f64 (*.f64 y x))))
(*.f64 (pow.f64 (*.f64 y x) #s(literal 1/4 binary64)) (pow.f64 (sqrt.f64 (*.f64 y x)) #s(literal 1/6 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (*.f64 y x)) #s(literal 1/6 binary64)) (pow.f64 (*.f64 y x) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/3 binary64)) (cbrt.f64 (*.f64 y x)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (*.f64 y x)) #s(literal 2 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (cbrt.f64 (*.f64 y x))))
(*.f64 (*.f64 (pow.f64 (*.f64 y x) #s(literal 1/6 binary64)) (cbrt.f64 (cbrt.f64 (*.f64 y x)))) (cbrt.f64 (pow.f64 (*.f64 y x) #s(literal 1/6 binary64))))
(pow.f64 (*.f64 y x) #s(literal 1/3 binary64))
(pow.f64 (cbrt.f64 (*.f64 y x)) #s(literal 1 binary64))
(pow.f64 (sqrt.f64 (*.f64 y x)) #s(literal 2/3 binary64))
(pow.f64 (pow.f64 (*.f64 y x) #s(literal 1/6 binary64)) #s(literal 2 binary64))
(pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 y x))) #s(literal 3 binary64))
(sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 y x)) #s(literal 2 binary64)))
(log.f64 (exp.f64 (cbrt.f64 (*.f64 y x))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (cbrt.f64 (*.f64 y x)))))
(expm1.f64 (log1p.f64 (cbrt.f64 (*.f64 y x))))
(log1p.f64 (expm1.f64 (cbrt.f64 (*.f64 y x))))
(exp.f64 (log.f64 (cbrt.f64 (*.f64 y x))))
(exp.f64 (*.f64 (log.f64 (*.f64 y x)) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 y x))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (*.f64 y x) #s(literal 1/6 binary64)))) #s(literal 1 binary64))
(*.f64 (pow.f64 (*.f64 y x) #s(literal 1/6 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 1/6 binary64)))
(*.f64 (cbrt.f64 (sqrt.f64 x)) (cbrt.f64 (sqrt.f64 y)))
(*.f64 (cbrt.f64 (sqrt.f64 y)) (cbrt.f64 (sqrt.f64 x)))
(*.f64 (cbrt.f64 (pow.f64 (*.f64 y x) #s(literal 1/6 binary64))) (cbrt.f64 (cbrt.f64 (*.f64 y x))))
(*.f64 (cbrt.f64 (cbrt.f64 (*.f64 y x))) (cbrt.f64 (pow.f64 (*.f64 y x) #s(literal 1/6 binary64))))
(*.f64 (pow.f64 (sqrt.f64 (*.f64 y x)) #s(literal 1/6 binary64)) (pow.f64 (sqrt.f64 (*.f64 y x)) #s(literal 1/6 binary64)))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/3 binary64)) (pow.f64 (*.f64 y x) #s(literal 1/6 binary64)))
(*.f64 (pow.f64 (pow.f64 (*.f64 y x) #s(literal 1/4 binary64)) #s(literal 1/3 binary64)) (pow.f64 (pow.f64 (*.f64 y x) #s(literal 1/4 binary64)) #s(literal 1/3 binary64)))
(*.f64 (sqrt.f64 (cbrt.f64 y)) (sqrt.f64 (cbrt.f64 x)))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 y x))) #s(literal 2 binary64))) (sqrt.f64 (cbrt.f64 (cbrt.f64 (*.f64 y x)))))
(pow.f64 (*.f64 y x) #s(literal 1/6 binary64))
(pow.f64 (cbrt.f64 (*.f64 y x)) #s(literal 1/2 binary64))
(pow.f64 (sqrt.f64 (*.f64 y x)) #s(literal 1/3 binary64))
(pow.f64 (pow.f64 (*.f64 y x) #s(literal 1/6 binary64)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (pow.f64 (*.f64 y x) #s(literal 1/6 binary64))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (sqrt.f64 (*.f64 y x)) #s(literal 1/6 binary64)) #s(literal 2 binary64))
(sqrt.f64 (cbrt.f64 (*.f64 y x)))
(fabs.f64 (pow.f64 (*.f64 y x) #s(literal 1/6 binary64)))
(log.f64 (exp.f64 (pow.f64 (*.f64 y x) #s(literal 1/6 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (pow.f64 (*.f64 y x) #s(literal 1/6 binary64)))))
(expm1.f64 (log1p.f64 (pow.f64 (*.f64 y x) #s(literal 1/6 binary64))))
(log1p.f64 (expm1.f64 (pow.f64 (*.f64 y x) #s(literal 1/6 binary64))))
(exp.f64 (log.f64 (pow.f64 (*.f64 y x) #s(literal 1/6 binary64))))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 y x))) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (*.f64 y x) #s(literal 1/6 binary64))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (*.f64 y x)))) #s(literal 1 binary64))
(pow.f64 (*.f64 y x) #s(literal 1/2 binary64))
(pow.f64 (sqrt.f64 (*.f64 y x)) #s(literal 1 binary64))
(pow.f64 (pow.f64 (*.f64 y x) #s(literal 1/6 binary64)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 y x) #s(literal 3/2 binary64)) #s(literal 1/3 binary64))
(pow.f64 (pow.f64 (*.f64 y x) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(sqrt.f64 (*.f64 y x))
(fabs.f64 (sqrt.f64 (*.f64 y x)))
(log.f64 (exp.f64 (sqrt.f64 (*.f64 y x))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (sqrt.f64 (*.f64 y x)))))
(cbrt.f64 (pow.f64 (*.f64 y x) #s(literal 3/2 binary64)))
(cbrt.f64 (*.f64 (pow.f64 y #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3/2 binary64))))
(cbrt.f64 (*.f64 (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 y #s(literal 3/2 binary64))))
(expm1.f64 (log1p.f64 (sqrt.f64 (*.f64 y x))))
(log1p.f64 (expm1.f64 (sqrt.f64 (*.f64 y x))))
(exp.f64 (log.f64 (sqrt.f64 (*.f64 y x))))
(exp.f64 (*.f64 (log.f64 (*.f64 y x)) #s(literal 1/2 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 y x))) #s(literal 1 binary64)))
Outputs
(pow.f64 (*.f64 #s(literal 1 binary64) (*.f64 x z)) #s(literal 1/8 binary64))
(pow.f64 (*.f64 x z) #s(literal 1/8 binary64))
(+.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 (pow.f64 (*.f64 #s(literal 1 binary64) (*.f64 x z)) #s(literal 1/8 binary64)) (*.f64 y (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) z))))) (pow.f64 (*.f64 #s(literal 1 binary64) (*.f64 x z)) #s(literal 1/8 binary64)))
(fma.f64 #s(literal 1/8 binary64) (*.f64 (pow.f64 (*.f64 x z) #s(literal 1/8 binary64)) (*.f64 y (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) z)))) (pow.f64 (*.f64 x z) #s(literal 1/8 binary64)))
(+.f64 (*.f64 y (+.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 (pow.f64 (*.f64 #s(literal 1 binary64) (*.f64 x z)) #s(literal 1/8 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) z)))) (*.f64 (pow.f64 (*.f64 #s(literal 1 binary64) (*.f64 x z)) #s(literal 1/8 binary64)) (*.f64 y (+.f64 (*.f64 #s(literal -1/16 binary64) (/.f64 (pow.f64 (+.f64 x z) #s(literal 2 binary64)) (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))) (*.f64 #s(literal 1/128 binary64) (pow.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) z)) #s(literal 2 binary64)))))))) (pow.f64 (*.f64 #s(literal 1 binary64) (*.f64 x z)) #s(literal 1/8 binary64)))
(fma.f64 y (fma.f64 #s(literal 1/8 binary64) (*.f64 (pow.f64 (*.f64 x z) #s(literal 1/8 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) z))) (*.f64 (*.f64 (pow.f64 (*.f64 x z) #s(literal 1/8 binary64)) y) (fma.f64 #s(literal -1/16 binary64) (/.f64 (/.f64 (pow.f64 (+.f64 x z) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) (pow.f64 z #s(literal 2 binary64))) (*.f64 #s(literal 1/128 binary64) (pow.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) z)) #s(literal 2 binary64)))))) (pow.f64 (*.f64 x z) #s(literal 1/8 binary64)))
(fma.f64 y (fma.f64 #s(literal 1/8 binary64) (*.f64 (pow.f64 (*.f64 x z) #s(literal 1/8 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) z))) (*.f64 (pow.f64 (*.f64 x z) #s(literal 1/8 binary64)) (*.f64 y (fma.f64 #s(literal -1/16 binary64) (/.f64 (pow.f64 (+.f64 x z) #s(literal 2 binary64)) (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) (*.f64 #s(literal 1/128 binary64) (pow.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) z)) #s(literal 2 binary64))))))) (pow.f64 (*.f64 x z) #s(literal 1/8 binary64)))
(+.f64 (*.f64 y (+.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 (pow.f64 (*.f64 #s(literal 1 binary64) (*.f64 x z)) #s(literal 1/8 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) z)))) (*.f64 y (+.f64 (*.f64 (pow.f64 (*.f64 #s(literal 1 binary64) (*.f64 x z)) #s(literal 1/8 binary64)) (*.f64 y (+.f64 (*.f64 #s(literal -1/128 binary64) (/.f64 (*.f64 (pow.f64 (+.f64 x z) #s(literal 2 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) z))) (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))) (+.f64 (*.f64 #s(literal 1/3072 binary64) (pow.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) z)) #s(literal 3 binary64))) (*.f64 #s(literal 1/24 binary64) (/.f64 (pow.f64 (+.f64 x z) #s(literal 3 binary64)) (*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))))))))) (*.f64 (pow.f64 (*.f64 #s(literal 1 binary64) (*.f64 x z)) #s(literal 1/8 binary64)) (+.f64 (*.f64 #s(literal -1/16 binary64) (/.f64 (pow.f64 (+.f64 x z) #s(literal 2 binary64)) (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))) (*.f64 #s(literal 1/128 binary64) (pow.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) z)) #s(literal 2 binary64))))))))) (pow.f64 (*.f64 #s(literal 1 binary64) (*.f64 x z)) #s(literal 1/8 binary64)))
(fma.f64 y (fma.f64 #s(literal 1/8 binary64) (*.f64 (pow.f64 (*.f64 x z) #s(literal 1/8 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) z))) (*.f64 y (*.f64 (pow.f64 (*.f64 x z) #s(literal 1/8 binary64)) (+.f64 (*.f64 y (fma.f64 #s(literal -1/128 binary64) (*.f64 (/.f64 (pow.f64 (+.f64 x z) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) z)) (pow.f64 z #s(literal 2 binary64)))) (fma.f64 #s(literal 1/3072 binary64) (pow.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) z)) #s(literal 3 binary64)) (*.f64 #s(literal 1/24 binary64) (/.f64 (/.f64 (pow.f64 (+.f64 x z) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (pow.f64 z #s(literal 3 binary64))))))) (fma.f64 #s(literal -1/16 binary64) (/.f64 (/.f64 (pow.f64 (+.f64 x z) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) (pow.f64 z #s(literal 2 binary64))) (*.f64 #s(literal 1/128 binary64) (pow.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) z)) #s(literal 2 binary64)))))))) (pow.f64 (*.f64 x z) #s(literal 1/8 binary64)))
(fma.f64 y (fma.f64 #s(literal 1/8 binary64) (*.f64 (pow.f64 (*.f64 x z) #s(literal 1/8 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) z))) (*.f64 y (*.f64 (pow.f64 (*.f64 x z) #s(literal 1/8 binary64)) (+.f64 (*.f64 y (fma.f64 #s(literal -1/128 binary64) (*.f64 (pow.f64 (+.f64 x z) #s(literal 2 binary64)) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) z)) (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))) (fma.f64 #s(literal 1/3072 binary64) (pow.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) z)) #s(literal 3 binary64)) (*.f64 #s(literal 1/24 binary64) (/.f64 (pow.f64 (+.f64 x z) #s(literal 3 binary64)) (*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64)))))))) (fma.f64 #s(literal -1/16 binary64) (/.f64 (pow.f64 (+.f64 x z) #s(literal 2 binary64)) (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) (*.f64 #s(literal 1/128 binary64) (pow.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) z)) #s(literal 2 binary64)))))))) (pow.f64 (*.f64 x z) #s(literal 1/8 binary64)))
(exp.f64 (*.f64 #s(literal 1/8 binary64) (+.f64 (log.f64 (+.f64 x z)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) y))))))
(pow.f64 (exp.f64 #s(literal 1/8 binary64)) (+.f64 (log.f64 (+.f64 x z)) (neg.f64 (neg.f64 (log.f64 y)))))
(pow.f64 (exp.f64 #s(literal 1/8 binary64)) (+.f64 (log.f64 (+.f64 x z)) (log.f64 y)))
(+.f64 (exp.f64 (*.f64 #s(literal 1/8 binary64) (+.f64 (log.f64 (+.f64 x z)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) y)))))) (*.f64 #s(literal 1/8 binary64) (/.f64 (*.f64 x (*.f64 z (exp.f64 (*.f64 #s(literal 1/8 binary64) (+.f64 (log.f64 (+.f64 x z)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) y)))))))) (*.f64 y (+.f64 x z)))))
(+.f64 (pow.f64 (exp.f64 #s(literal 1/8 binary64)) (+.f64 (log.f64 (+.f64 x z)) (neg.f64 (neg.f64 (log.f64 y))))) (*.f64 #s(literal 1/8 binary64) (/.f64 (*.f64 (*.f64 x z) (pow.f64 (exp.f64 #s(literal 1/8 binary64)) (+.f64 (log.f64 (+.f64 x z)) (neg.f64 (neg.f64 (log.f64 y)))))) (*.f64 y (+.f64 x z)))))
(+.f64 (pow.f64 (exp.f64 #s(literal 1/8 binary64)) (+.f64 (log.f64 (+.f64 x z)) (log.f64 y))) (*.f64 #s(literal 1/8 binary64) (*.f64 x (*.f64 (/.f64 z y) (/.f64 (pow.f64 (exp.f64 #s(literal 1/8 binary64)) (+.f64 (log.f64 (+.f64 x z)) (log.f64 y))) (+.f64 x z))))))
(+.f64 (exp.f64 (*.f64 #s(literal 1/8 binary64) (+.f64 (log.f64 (+.f64 x z)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) y)))))) (+.f64 (*.f64 #s(literal 1/8 binary64) (/.f64 (*.f64 x (*.f64 z (exp.f64 (*.f64 #s(literal 1/8 binary64) (+.f64 (log.f64 (+.f64 x z)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) y)))))))) (*.f64 y (+.f64 x z)))) (/.f64 (*.f64 (exp.f64 (*.f64 #s(literal 1/8 binary64) (+.f64 (log.f64 (+.f64 x z)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) y)))))) (+.f64 (*.f64 #s(literal -1/16 binary64) (/.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (pow.f64 (+.f64 x z) #s(literal 2 binary64)))) (*.f64 #s(literal 1/128 binary64) (/.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (pow.f64 (+.f64 x z) #s(literal 2 binary64)))))) (pow.f64 y #s(literal 2 binary64)))))
(+.f64 (pow.f64 (exp.f64 #s(literal 1/8 binary64)) (+.f64 (log.f64 (+.f64 x z)) (neg.f64 (neg.f64 (log.f64 y))))) (fma.f64 #s(literal 1/8 binary64) (/.f64 (*.f64 (*.f64 x z) (pow.f64 (exp.f64 #s(literal 1/8 binary64)) (+.f64 (log.f64 (+.f64 x z)) (neg.f64 (neg.f64 (log.f64 y)))))) (*.f64 y (+.f64 x z))) (*.f64 (pow.f64 (exp.f64 #s(literal 1/8 binary64)) (+.f64 (log.f64 (+.f64 x z)) (neg.f64 (neg.f64 (log.f64 y))))) (/.f64 (*.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (/.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 (+.f64 x z) #s(literal 2 binary64)))) #s(literal -7/128 binary64)) (pow.f64 y #s(literal 2 binary64))))))
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(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (pow.f64 (*.f64 y x) #s(literal 1/6 binary64)))))
(pow.f64 (*.f64 x y) #s(literal 1/6 binary64))
(expm1.f64 (log1p.f64 (pow.f64 (*.f64 y x) #s(literal 1/6 binary64))))
(expm1.f64 (log1p.f64 (pow.f64 (*.f64 x y) #s(literal 1/6 binary64))))
(log1p.f64 (expm1.f64 (pow.f64 (*.f64 y x) #s(literal 1/6 binary64))))
(pow.f64 (*.f64 x y) #s(literal 1/6 binary64))
(exp.f64 (log.f64 (pow.f64 (*.f64 y x) #s(literal 1/6 binary64))))
(pow.f64 (*.f64 x y) #s(literal 1/6 binary64))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 y x))) #s(literal 1/3 binary64)))
(cbrt.f64 (sqrt.f64 (*.f64 x y)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (*.f64 y x) #s(literal 1/6 binary64))) #s(literal 1 binary64)))
(pow.f64 (*.f64 x y) #s(literal 1/6 binary64))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (*.f64 y x)))) #s(literal 1 binary64))
(expm1.f64 (log1p.f64 (sqrt.f64 (*.f64 x y))))
(pow.f64 (*.f64 y x) #s(literal 1/2 binary64))
(sqrt.f64 (*.f64 x y))
(pow.f64 (sqrt.f64 (*.f64 y x)) #s(literal 1 binary64))
(sqrt.f64 (*.f64 x y))
(pow.f64 (pow.f64 (*.f64 y x) #s(literal 1/6 binary64)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 x y) #s(literal 1/6 binary64)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 y x) #s(literal 3/2 binary64)) #s(literal 1/3 binary64))
(cbrt.f64 (pow.f64 (*.f64 x y) #s(literal 3/2 binary64)))
(pow.f64 (pow.f64 (*.f64 y x) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(sqrt.f64 (*.f64 x y))
(sqrt.f64 (*.f64 y x))
(sqrt.f64 (*.f64 x y))
(fabs.f64 (sqrt.f64 (*.f64 y x)))
(fabs.f64 (sqrt.f64 (*.f64 x y)))
(log.f64 (exp.f64 (sqrt.f64 (*.f64 y x))))
(sqrt.f64 (*.f64 x y))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (sqrt.f64 (*.f64 y x)))))
(sqrt.f64 (*.f64 x y))
(cbrt.f64 (pow.f64 (*.f64 y x) #s(literal 3/2 binary64)))
(cbrt.f64 (pow.f64 (*.f64 x y) #s(literal 3/2 binary64)))
(cbrt.f64 (*.f64 (pow.f64 y #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3/2 binary64))))
(cbrt.f64 (*.f64 (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 y #s(literal 3/2 binary64))))
(cbrt.f64 (*.f64 (pow.f64 y #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3/2 binary64))))
(expm1.f64 (log1p.f64 (sqrt.f64 (*.f64 y x))))
(expm1.f64 (log1p.f64 (sqrt.f64 (*.f64 x y))))
(log1p.f64 (expm1.f64 (sqrt.f64 (*.f64 y x))))
(sqrt.f64 (*.f64 x y))
(exp.f64 (log.f64 (sqrt.f64 (*.f64 y x))))
(sqrt.f64 (*.f64 x y))
(exp.f64 (*.f64 (log.f64 (*.f64 y x)) #s(literal 1/2 binary64)))
(sqrt.f64 (*.f64 x y))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 y x))) #s(literal 1 binary64)))
(sqrt.f64 (*.f64 x y))

eval1.9s (10.7%)

Compiler

Compiled 58277 to 33526 computations (42.5% saved)

prune271.0ms (1.6%)

Pruning

30 alts after pruning (24 fresh and 6 done)

PrunedKeptTotal
New9447951
Fresh31720
Picked235
Done033
Total94930979
Accuracy
98.0%
Counts
979 → 30
Alt Table
Click to see full alt table
StatusAccuracyProgram
28.6%
(*.f64 #s(literal 2 binary64) (pow.f64 (pow.f64 (*.f64 z y) #s(literal 1/4 binary64)) #s(literal 2 binary64)))
36.2%
(*.f64 #s(literal 2 binary64) (pow.f64 (pow.f64 (*.f64 y x) #s(literal 1/4 binary64)) #s(literal 2 binary64)))
48.5%
(*.f64 #s(literal 2 binary64) (pow.f64 (exp.f64 (*.f64 #s(literal 1/4 binary64) (+.f64 (log.f64 (+.f64 (*.f64 #s(literal -1 binary64) y) (*.f64 #s(literal -1 binary64) z))) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x)))))) #s(literal 2 binary64)))
47.5%
(*.f64 #s(literal 2 binary64) (pow.f64 (exp.f64 (*.f64 #s(literal 1/4 binary64) (+.f64 (log.f64 (*.f64 #s(literal -1 binary64) (+.f64 x z))) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) y)))))) #s(literal 2 binary64)))
35.8%
(*.f64 #s(literal 2 binary64) (pow.f64 (cbrt.f64 (sqrt.f64 (*.f64 y x))) #s(literal 3 binary64)))
3.2%
(*.f64 #s(literal 2 binary64) (pow.f64 (cbrt.f64 (sqrt.f64 (*.f64 x z))) #s(literal 3 binary64)))
28.1%
(*.f64 #s(literal 2 binary64) (+.f64 (sqrt.f64 (*.f64 y z)) (*.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 (+.f64 y z) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 y z))))))))
62.8%
(*.f64 #s(literal 2 binary64) (*.f64 (pow.f64 (fma.f64 y (+.f64 x z) (*.f64 x z)) #s(literal 1/8 binary64)) (pow.f64 (pow.f64 (fma.f64 y (+.f64 x z) (*.f64 x z)) #s(literal 1/8 binary64)) #s(literal 3 binary64))))
46.2%
(*.f64 #s(literal 2 binary64) (*.f64 (sqrt.f64 (+.f64 y x)) (sqrt.f64 z)))
1.5%
(*.f64 #s(literal 2 binary64) (*.f64 (sqrt.f64 z) (sqrt.f64 x)))
36.0%
(*.f64 #s(literal 2 binary64) (*.f64 (cbrt.f64 (*.f64 y x)) (cbrt.f64 (sqrt.f64 (*.f64 y x)))))
38.0%
(*.f64 #s(literal 2 binary64) (*.f64 z (+.f64 (sqrt.f64 (/.f64 (+.f64 y x) z)) (*.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 z #s(literal 3 binary64)) (+.f64 y x))))))))))
32.9%
(*.f64 #s(literal 2 binary64) (*.f64 y (+.f64 (sqrt.f64 (/.f64 z y)) (*.f64 (*.f64 #s(literal 1/2 binary64) x) (sqrt.f64 (/.f64 z (pow.f64 y #s(literal 3 binary64))))))))
21.6%
(*.f64 #s(literal 2 binary64) (sqrt.f64 (fma.f64 x z (/.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) y) (-.f64 x z)))))
63.3%
(*.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (*.f64 x y) (*.f64 z (+.f64 y x)))))
52.6%
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 z (+.f64 (+.f64 x y) (*.f64 x (/.f64 y z))))))
29.5%
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 z (+.f64 y x))))
28.7%
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 z y)))
3.2%
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 z x)))
23.8%
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 y (+.f64 z (*.f64 x (/.f64 z y))))))
36.3%
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 y x)))
14.5%
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 x (+.f64 z (*.f64 y (/.f64 z x))))))
37.1%
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 x (+.f64 z y))))
18.4%
(*.f64 #s(literal 2 binary64) (sqrt.f64 (sqrt.f64 (pow.f64 (*.f64 z (+.f64 x y)) #s(literal 2 binary64)))))
3.2%
(*.f64 #s(literal 2 binary64) (exp.f64 (*.f64 (log.f64 (*.f64 x z)) #s(literal 1/2 binary64))))
21.2%
(*.f64 #s(literal 2 binary64) (cbrt.f64 (pow.f64 (*.f64 z (+.f64 y x)) #s(literal 3/2 binary64))))
24.7%
(*.f64 #s(literal 2 binary64) (cbrt.f64 (pow.f64 (*.f64 y x) #s(literal 3/2 binary64))))
3.0%
(*.f64 #s(literal 2 binary64) (cbrt.f64 (pow.f64 (*.f64 x z) #s(literal 3/2 binary64))))
21.2%
(*.f64 #s(literal 2 binary64) (cbrt.f64 (pow.f64 (sqrt.f64 (*.f64 z (+.f64 x y))) #s(literal 3 binary64))))
20.2%
(*.f64 #s(literal 2 binary64) (cbrt.f64 (exp.f64 (*.f64 #s(literal 3/2 binary64) (log.f64 (*.f64 z (+.f64 y x)))))))
Compiler

Compiled 840 to 624 computations (25.7% saved)

localize416.0ms (2.4%)

Localize:

Found 13 expressions with local error:

NewAccuracyProgram
98.0%
(*.f64 (pow.f64 x #s(literal 2 binary64)) y)
93.0%
(/.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) y) (-.f64 x z))
89.2%
(sqrt.f64 (fma.f64 x z (/.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) y) (-.f64 x z))))
99.8%
(*.f64 x (*.f64 (+.f64 y z) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 y z)))))
99.4%
(/.f64 #s(literal 1 binary64) (*.f64 y z))
84.1%
(sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 y z)))
83.8%
(sqrt.f64 (*.f64 y z))
99.9%
(pow.f64 (*.f64 x z) #s(literal 3/2 binary64))
83.7%
(cbrt.f64 (pow.f64 (*.f64 x z) #s(literal 3/2 binary64)))
83.8%
(sqrt.f64 (*.f64 z y))
99.8%
(*.f64 (pow.f64 (fma.f64 y (+.f64 x z) (*.f64 x z)) #s(literal 1/8 binary64)) (pow.f64 (pow.f64 (fma.f64 y (+.f64 x z) (*.f64 x z)) #s(literal 1/8 binary64)) #s(literal 3 binary64)))
99.5%
(pow.f64 (pow.f64 (fma.f64 y (+.f64 x z) (*.f64 x z)) #s(literal 1/8 binary64)) #s(literal 3 binary64))
81.7%
(pow.f64 (fma.f64 y (+.f64 x z) (*.f64 x z)) #s(literal 1/8 binary64))
Compiler

Compiled 303 to 124 computations (59.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 253.0ms
Operation ival-pow, time spent: 107.0ms, 42.0% of total-time
Operation ival-mult, time spent: 58.0ms, 23.0% of total-time
Operation ival-div, time spent: 26.0ms, 10.0% of total-time
Operation ival-sqrt, time spent: 18.0ms, 7.0% of total-time
Operation composed, time spent: 16.0ms, 6.0% of total-time
Operation ival-add, time spent: 13.0ms, 5.0% of total-time
Operation const, time spent: 7.0ms, 3.0% of total-time
Operation ival-cbrt, time spent: 4.0ms, 2.0% of total-time
Operation ival-sub, time spent: 1.0ms, 0.0% of total-time

series80.0ms (0.5%)

Counts
12 → 256
Calls
Call 1
Inputs
#<alt (pow.f64 (pow.f64 (fma.f64 y (+.f64 x z) (*.f64 x z)) #s(literal 1/8 binary64)) #s(literal 3 binary64))>
#<alt (*.f64 (pow.f64 (fma.f64 y (+.f64 x z) (*.f64 x z)) #s(literal 1/8 binary64)) (pow.f64 (pow.f64 (fma.f64 y (+.f64 x z) (*.f64 x z)) #s(literal 1/8 binary64)) #s(literal 3 binary64)))>
#<alt (sqrt.f64 (*.f64 z y))>
#<alt (cbrt.f64 (pow.f64 (*.f64 x z) #s(literal 3/2 binary64)))>
#<alt (pow.f64 (*.f64 x z) #s(literal 3/2 binary64))>
#<alt (sqrt.f64 (*.f64 y z))>
#<alt (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 y z)))>
#<alt (/.f64 #s(literal 1 binary64) (*.f64 y z))>
#<alt (*.f64 x (*.f64 (+.f64 y z) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 y z)))))>
#<alt (sqrt.f64 (fma.f64 x z (/.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) y) (-.f64 x z))))>
#<alt (/.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) y) (-.f64 x z))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) y)>
Outputs
#<alt (pow.f64 (*.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64)))) #s(literal 1/8 binary64))>
#<alt (+.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 (pow.f64 (*.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64)))) #s(literal 1/8 binary64)) (*.f64 y (+.f64 (*.f64 #s(literal 2 binary64) (/.f64 (+.f64 x z) (*.f64 x z))) (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) z)))))) (pow.f64 (*.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64)))) #s(literal 1/8 binary64)))>
#<alt (+.f64 (*.f64 y (+.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 (pow.f64 (*.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64)))) #s(literal 1/8 binary64)) (+.f64 (*.f64 #s(literal 2 binary64) (/.f64 (+.f64 x z) (*.f64 x z))) (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) z))))) (*.f64 (pow.f64 (*.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64)))) #s(literal 1/8 binary64)) (*.f64 y (+.f64 (*.f64 #s(literal 1/128 binary64) (pow.f64 (+.f64 (*.f64 #s(literal 2 binary64) (/.f64 (+.f64 x z) (*.f64 x z))) (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) z))) #s(literal 2 binary64))) (*.f64 #s(literal 1/16 binary64) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (+.f64 (*.f64 #s(literal 2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 x z)))) (*.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 x z)))) #s(literal 2 binary64)) (*.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 z #s(literal 6 binary64))))) (*.f64 #s(literal 2 binary64) (/.f64 (+.f64 (*.f64 #s(literal 2 binary64) (*.f64 x (*.f64 z (pow.f64 (+.f64 x z) #s(literal 2 binary64))))) (*.f64 x (*.f64 z (pow.f64 (+.f64 x z) #s(literal 2 binary64))))) (*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64)))))))))))) (pow.f64 (*.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64)))) #s(literal 1/8 binary64)))>
#<alt (+.f64 (*.f64 y (+.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 (pow.f64 (*.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64)))) #s(literal 1/8 binary64)) (+.f64 (*.f64 #s(literal 2 binary64) (/.f64 (+.f64 x z) (*.f64 x z))) (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) z))))) (*.f64 y (+.f64 (*.f64 (pow.f64 (*.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64)))) #s(literal 1/8 binary64)) (*.f64 y (+.f64 (*.f64 #s(literal 1/3072 binary64) (pow.f64 (+.f64 (*.f64 #s(literal 2 binary64) (/.f64 (+.f64 x z) (*.f64 x z))) (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) z))) #s(literal 3 binary64))) (+.f64 (*.f64 #s(literal 1/128 binary64) (*.f64 (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (+.f64 (*.f64 #s(literal 2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 x z)))) (*.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 x z)))) #s(literal 2 binary64)) (*.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 z #s(literal 6 binary64))))) (*.f64 #s(literal 2 binary64) (/.f64 (+.f64 (*.f64 #s(literal 2 binary64) (*.f64 x (*.f64 z (pow.f64 (+.f64 x z) #s(literal 2 binary64))))) (*.f64 x (*.f64 z (pow.f64 (+.f64 x z) #s(literal 2 binary64))))) (*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64)))))) (+.f64 (*.f64 #s(literal 2 binary64) (/.f64 (+.f64 x z) (*.f64 x z))) (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) z))))) (*.f64 #s(literal 1/48 binary64) (+.f64 (*.f64 #s(literal -6 binary64) (/.f64 (*.f64 (+.f64 (*.f64 #s(literal 2 binary64) (*.f64 x (*.f64 z (pow.f64 (+.f64 x z) #s(literal 2 binary64))))) (*.f64 x (*.f64 z (pow.f64 (+.f64 x z) #s(literal 2 binary64))))) (+.f64 (*.f64 #s(literal 2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 x z)))) (*.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 x z))))) (*.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 z #s(literal 6 binary64))))) (+.f64 (*.f64 #s(literal 2 binary64) (/.f64 (pow.f64 (+.f64 (*.f64 #s(literal 2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 x z)))) (*.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 x z)))) #s(literal 3 binary64)) (*.f64 (pow.f64 x #s(literal 9 binary64)) (pow.f64 z #s(literal 9 binary64))))) (*.f64 #s(literal 6 binary64) (/.f64 (pow.f64 (+.f64 x z) #s(literal 3 binary64)) (*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64)))))))))))) (*.f64 (pow.f64 (*.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64)))) #s(literal 1/8 binary64)) (+.f64 (*.f64 #s(literal 1/128 binary64) (pow.f64 (+.f64 (*.f64 #s(literal 2 binary64) (/.f64 (+.f64 x z) (*.f64 x z))) (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) z))) #s(literal 2 binary64))) (*.f64 #s(literal 1/16 binary64) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (+.f64 (*.f64 #s(literal 2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 x z)))) (*.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 x z)))) #s(literal 2 binary64)) (*.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 z #s(literal 6 binary64))))) (*.f64 #s(literal 2 binary64) (/.f64 (+.f64 (*.f64 #s(literal 2 binary64) (*.f64 x (*.f64 z (pow.f64 (+.f64 x z) #s(literal 2 binary64))))) (*.f64 x (*.f64 z (pow.f64 (+.f64 x z) #s(literal 2 binary64))))) (*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))))))))))))) (pow.f64 (*.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64)))) #s(literal 1/8 binary64)))>
#<alt (exp.f64 (*.f64 #s(literal 1/8 binary64) (+.f64 (log.f64 (pow.f64 (+.f64 x z) #s(literal 3 binary64))) (*.f64 #s(literal -3 binary64) (log.f64 (/.f64 #s(literal 1 binary64) y))))))>
#<alt (+.f64 (exp.f64 (*.f64 #s(literal 1/8 binary64) (+.f64 (log.f64 (pow.f64 (+.f64 x z) #s(literal 3 binary64))) (*.f64 #s(literal -3 binary64) (log.f64 (/.f64 #s(literal 1 binary64) y)))))) (*.f64 #s(literal 1/8 binary64) (/.f64 (*.f64 (exp.f64 (*.f64 #s(literal 1/8 binary64) (+.f64 (log.f64 (pow.f64 (+.f64 x z) #s(literal 3 binary64))) (*.f64 #s(literal -3 binary64) (log.f64 (/.f64 #s(literal 1 binary64) y)))))) (+.f64 (*.f64 #s(literal 2 binary64) (/.f64 (*.f64 x z) (+.f64 x z))) (/.f64 (*.f64 x z) (+.f64 x z)))) y)))>
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#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 (*.f64 (pow.f64 x #s(literal 5 binary64)) z)) y)) (*.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 (/.f64 (pow.f64 x #s(literal 7 binary64)) z)) y))) z)) (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) z)) y))) (pow.f64 z #s(literal 3 binary64)))) (*.f64 (sqrt.f64 (/.f64 x z)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))))>
#<alt (sqrt.f64 (*.f64 x z))>
#<alt (+.f64 (sqrt.f64 (*.f64 x z)) (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) z)) (/.f64 y (-.f64 x z)))))>
#<alt (+.f64 (sqrt.f64 (*.f64 x z)) (*.f64 y (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 (pow.f64 x #s(literal 5 binary64)) (pow.f64 z #s(literal 3 binary64)))) (/.f64 y (pow.f64 (-.f64 x z) #s(literal 2 binary64))))) (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) z)) (/.f64 #s(literal 1 binary64) (-.f64 x z)))))))>
#<alt (+.f64 (sqrt.f64 (*.f64 x z)) (*.f64 y (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) z)) (/.f64 #s(literal 1 binary64) (-.f64 x z)))) (*.f64 y (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 (pow.f64 x #s(literal 5 binary64)) (pow.f64 z #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 x z) #s(literal 2 binary64))))) (*.f64 #s(literal 1/16 binary64) (*.f64 (sqrt.f64 (/.f64 (pow.f64 x #s(literal 7 binary64)) (pow.f64 z #s(literal 5 binary64)))) (/.f64 y (pow.f64 (-.f64 x z) #s(literal 3 binary64))))))))))>
#<alt (*.f64 x (sqrt.f64 (/.f64 y (-.f64 x z))))>
#<alt (*.f64 y (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 (-.f64 x z) (pow.f64 y #s(literal 3 binary64)))) z)) (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (-.f64 x z)))))))>
#<alt (*.f64 y (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) x) (sqrt.f64 (/.f64 (pow.f64 (-.f64 x z) #s(literal 3 binary64)) (pow.f64 y #s(literal 5 binary64)))))) (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 (-.f64 x z) (pow.f64 y #s(literal 3 binary64)))) z)) (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (-.f64 x z))))))))>
#<alt (*.f64 y (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) x) (sqrt.f64 (/.f64 (pow.f64 (-.f64 x z) #s(literal 3 binary64)) (pow.f64 y #s(literal 5 binary64)))))) (+.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 (/.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 x #s(literal 2 binary64))) (sqrt.f64 (/.f64 (pow.f64 (-.f64 x z) #s(literal 5 binary64)) (pow.f64 y #s(literal 7 binary64)))))) (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 (-.f64 x z) (pow.f64 y #s(literal 3 binary64)))) z)) (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (-.f64 x z)))))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (*.f64 x (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (sqrt.f64 (/.f64 y (-.f64 x z)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 (-.f64 x z) (pow.f64 y #s(literal 3 binary64)))) z)) (*.f64 (*.f64 x (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (-.f64 x z))))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 x (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))) (sqrt.f64 (/.f64 (pow.f64 (-.f64 x z) #s(literal 3 binary64)) (pow.f64 y #s(literal 5 binary64)))))) (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 (-.f64 x z) (pow.f64 y #s(literal 3 binary64)))) z)) (*.f64 (*.f64 x (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (-.f64 x z)))))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 x (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))) (sqrt.f64 (/.f64 (pow.f64 (-.f64 x z) #s(literal 3 binary64)) (pow.f64 y #s(literal 5 binary64)))))) (+.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 (/.f64 (pow.f64 z #s(literal 3 binary64)) (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64)))) (sqrt.f64 (/.f64 (pow.f64 (-.f64 x z) #s(literal 5 binary64)) (pow.f64 y #s(literal 7 binary64)))))) (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 (-.f64 x z) (pow.f64 y #s(literal 3 binary64)))) z)) (*.f64 (*.f64 x (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (-.f64 x z))))))))))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) y) z))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 y z)) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x y) (pow.f64 z #s(literal 2 binary64))))))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 y z)) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x y) (pow.f64 z #s(literal 3 binary64)))) (/.f64 y (pow.f64 z #s(literal 2 binary64)))))))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 y z)) (*.f64 x (-.f64 (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x y) (pow.f64 z #s(literal 4 binary64)))) (/.f64 y (pow.f64 z #s(literal 3 binary64))))) (/.f64 y (pow.f64 z #s(literal 2 binary64)))))))>
#<alt (*.f64 x y)>
#<alt (*.f64 x (+.f64 y (/.f64 (*.f64 y z) x)))>
#<alt (*.f64 x (-.f64 (+.f64 y (/.f64 (*.f64 y (pow.f64 z #s(literal 2 binary64))) (pow.f64 x #s(literal 2 binary64)))) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 y z) x))))>
#<alt (*.f64 x (-.f64 (+.f64 y (/.f64 (*.f64 y (pow.f64 z #s(literal 3 binary64))) (pow.f64 x #s(literal 3 binary64)))) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 y z) x)) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 y (pow.f64 z #s(literal 2 binary64))) (pow.f64 x #s(literal 2 binary64)))))))>
#<alt (*.f64 x y)>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) y) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 y z) x)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) y) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 y z) (/.f64 (*.f64 y (pow.f64 z #s(literal 2 binary64))) x)) x)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) y) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 y (pow.f64 z #s(literal 2 binary64)))) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 y (pow.f64 z #s(literal 3 binary64))) x))) x)) (*.f64 y z)) x)))))>
#<alt (*.f64 x y)>
#<alt (+.f64 (*.f64 x y) (*.f64 y z))>
#<alt (+.f64 (*.f64 x y) (*.f64 z (-.f64 (/.f64 (*.f64 y z) x) (*.f64 #s(literal -1 binary64) y))))>
#<alt (+.f64 (*.f64 x y) (*.f64 z (-.f64 (*.f64 z (-.f64 (/.f64 (*.f64 y z) (pow.f64 x #s(literal 2 binary64))) (*.f64 #s(literal -1 binary64) (/.f64 y x)))) (*.f64 #s(literal -1 binary64) y))))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) y) z))>
#<alt (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) y)) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) y) z))) z)>
#<alt (/.f64 (-.f64 (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) y)) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) y) (pow.f64 z #s(literal 2 binary64))))) (/.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) y) z)) z)>
#<alt (/.f64 (-.f64 (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) y)) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 (pow.f64 x #s(literal 5 binary64)) y) (pow.f64 z #s(literal 3 binary64))))) (+.f64 (/.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) y) z) (/.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) y) (pow.f64 z #s(literal 2 binary64))))) z)>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) y) z))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) y) (/.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) y) z)) z))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) y) z)) (*.f64 (pow.f64 x #s(literal 3 binary64)) y)) z)) (*.f64 (pow.f64 x #s(literal 2 binary64)) y)) z))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (/.f64 (*.f64 (pow.f64 x #s(literal 5 binary64)) y) z) (*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) y))) z)) (*.f64 (pow.f64 x #s(literal 3 binary64)) y)) z)) (*.f64 (pow.f64 x #s(literal 2 binary64)) y)) z))>
Calls

87 calls:

TimeVariablePointExpression
4.0ms
z
@-inf
(/ (* (pow x 2) y) (- x z))
3.0ms
z
@0
(pow (pow (+ (* y (+ x z)) (* x z)) 1/8) 3)
3.0ms
z
@-inf
(* x (* (+ y z) (sqrt (/ 1 (* y z)))))
2.0ms
x
@-inf
(pow (* x z) 3/2)
2.0ms
z
@-inf
(pow (pow (+ (* y (+ x z)) (* x z)) 1/8) 3)

rewrite239.0ms (1.4%)

Algorithm
batch-egg-rewrite
Rules
733×log1p-expm1-u
454×associate-*r*
302×associate-*l*
240×expm1-log1p-u
237×pow1
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
039410
1598345
27356345
Stop Event
node limit
Counts
12 → 311
Calls
Call 1
Inputs
(pow.f64 (pow.f64 (fma.f64 y (+.f64 x z) (*.f64 x z)) #s(literal 1/8 binary64)) #s(literal 3 binary64))
(*.f64 (pow.f64 (fma.f64 y (+.f64 x z) (*.f64 x z)) #s(literal 1/8 binary64)) (pow.f64 (pow.f64 (fma.f64 y (+.f64 x z) (*.f64 x z)) #s(literal 1/8 binary64)) #s(literal 3 binary64)))
(sqrt.f64 (*.f64 z y))
(cbrt.f64 (pow.f64 (*.f64 x z) #s(literal 3/2 binary64)))
(pow.f64 (*.f64 x z) #s(literal 3/2 binary64))
(sqrt.f64 (*.f64 y z))
(sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 y z)))
(/.f64 #s(literal 1 binary64) (*.f64 y z))
(*.f64 x (*.f64 (+.f64 y z) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 y z)))))
(sqrt.f64 (fma.f64 x z (/.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) y) (-.f64 x z))))
(/.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) y) (-.f64 x z))
(*.f64 (pow.f64 x #s(literal 2 binary64)) y)
Outputs
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (fma.f64 y (+.f64 x z) (*.f64 x z)) #s(literal 3/8 binary64)))) #s(literal 1 binary64))
(*.f64 (pow.f64 (fma.f64 y (+.f64 x z) (*.f64 x z)) #s(literal 1/8 binary64)) (pow.f64 (fma.f64 y (+.f64 x z) (*.f64 x z)) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 (fma.f64 y (+.f64 x z) (*.f64 x z)) #s(literal 3/8 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 y (+.f64 x z) (*.f64 x z)) #s(literal 3/8 binary64)))
(*.f64 (pow.f64 (fma.f64 y (+.f64 x z) (*.f64 x z)) #s(literal 1/4 binary64)) (pow.f64 (fma.f64 y (+.f64 x z) (*.f64 x z)) #s(literal 1/8 binary64)))
(*.f64 (cbrt.f64 (pow.f64 (fma.f64 y (+.f64 x z) (*.f64 x z)) #s(literal 1/4 binary64))) (*.f64 (cbrt.f64 (pow.f64 (fma.f64 y (+.f64 x z) (*.f64 x z)) #s(literal 1/8 binary64))) (pow.f64 (fma.f64 y (+.f64 x z) (*.f64 x z)) #s(literal 1/4 binary64))))
(*.f64 (pow.f64 (fma.f64 y (+.f64 x z) (*.f64 x z)) #s(literal 3/16 binary64)) (pow.f64 (fma.f64 y (+.f64 x z) (*.f64 x z)) #s(literal 3/16 binary64)))
(*.f64 (pow.f64 (fma.f64 y (+.f64 x z) (*.f64 x z)) #s(literal 1/16 binary64)) (*.f64 (pow.f64 (fma.f64 y (+.f64 x z) (*.f64 x z)) #s(literal 1/16 binary64)) (pow.f64 (fma.f64 y (+.f64 x z) (*.f64 x z)) #s(literal 1/4 binary64))))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 3/8 binary64)) (pow.f64 (fma.f64 y (+.f64 x z) (*.f64 x z)) #s(literal 3/8 binary64)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (fma.f64 y (+.f64 x z) (*.f64 x z))) #s(literal 2 binary64)) #s(literal 3/8 binary64)) (pow.f64 (cbrt.f64 (fma.f64 y (+.f64 x z) (*.f64 x z))) #s(literal 3/8 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (fma.f64 y (+.f64 x z) (*.f64 x z))) #s(literal 3/8 binary64)) (pow.f64 (sqrt.f64 (fma.f64 y (+.f64 x z) (*.f64 x z))) #s(literal 3/8 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (fma.f64 y (+.f64 x z) (*.f64 x z)) #s(literal 1/4 binary64))) #s(literal 3 binary64)) (pow.f64 (fma.f64 y (+.f64 x z) (*.f64 x z)) #s(literal 1/8 binary64)))
(*.f64 (pow.f64 (pow.f64 (fma.f64 y (+.f64 x z) (*.f64 x z)) #s(literal 1/16 binary64)) #s(literal 3 binary64)) (pow.f64 (pow.f64 (fma.f64 y (+.f64 x z) (*.f64 x z)) #s(literal 1/16 binary64)) #s(literal 3 binary64)))
(*.f64 (*.f64 (pow.f64 (fma.f64 y (+.f64 x z) (*.f64 x z)) #s(literal 1/4 binary64)) #s(literal 1 binary64)) (pow.f64 (fma.f64 y (+.f64 x z) (*.f64 x z)) #s(literal 1/8 binary64)))
(*.f64 (*.f64 (pow.f64 (fma.f64 y (+.f64 x z) (*.f64 x z)) #s(literal 1/4 binary64)) (cbrt.f64 (pow.f64 (fma.f64 y (+.f64 x z) (*.f64 x z)) #s(literal 1/4 binary64)))) (cbrt.f64 (pow.f64 (fma.f64 y (+.f64 x z) (*.f64 x z)) #s(literal 1/8 binary64))))
(*.f64 (*.f64 (pow.f64 (fma.f64 y (+.f64 x z) (*.f64 x z)) #s(literal 1/4 binary64)) (pow.f64 (fma.f64 y (+.f64 x z) (*.f64 x z)) #s(literal 1/16 binary64))) (pow.f64 (fma.f64 y (+.f64 x z) (*.f64 x z)) #s(literal 1/16 binary64)))
(sqrt.f64 (pow.f64 (fma.f64 y (+.f64 x z) (*.f64 x z)) #s(literal 3/4 binary64)))
(log.f64 (exp.f64 (pow.f64 (fma.f64 y (+.f64 x z) (*.f64 x z)) #s(literal 3/8 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (pow.f64 (fma.f64 y (+.f64 x z) (*.f64 x z)) #s(literal 3/8 binary64)))))
(cbrt.f64 (pow.f64 (pow.f64 (fma.f64 y (+.f64 x z) (*.f64 x z)) #s(literal 3/8 binary64)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (pow.f64 (fma.f64 y (+.f64 x z) (*.f64 x z)) #s(literal 3/8 binary64))))
(log1p.f64 (expm1.f64 (pow.f64 (fma.f64 y (+.f64 x z) (*.f64 x z)) #s(literal 3/8 binary64))))
(exp.f64 (*.f64 #s(literal 3/8 binary64) (log.f64 (fma.f64 y (+.f64 x z) (*.f64 x z)))))
(exp.f64 (*.f64 (log.f64 (fma.f64 y (+.f64 x z) (*.f64 x z))) #s(literal 3/8 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 3/8 binary64) (log.f64 (fma.f64 y (+.f64 x z) (*.f64 x z)))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (fma.f64 y (+.f64 x z) (*.f64 x z))))) #s(literal 1 binary64))
(pow.f64 (fma.f64 y (+.f64 x z) (*.f64 x z)) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (fma.f64 y (+.f64 x z) (*.f64 x z)) #s(literal 1/8 binary64)) #s(literal 4 binary64))
(pow.f64 (sqrt.f64 (fma.f64 y (+.f64 x z) (*.f64 x z))) #s(literal 1 binary64))
(pow.f64 (pow.f64 (fma.f64 y (+.f64 x z) (*.f64 x z)) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(pow.f64 (cbrt.f64 (sqrt.f64 (fma.f64 y (+.f64 x z) (*.f64 x z)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (sqrt.f64 (fma.f64 y (+.f64 x z) (*.f64 x z))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(sqrt.f64 (fma.f64 y (+.f64 x z) (*.f64 x z)))
(fabs.f64 (sqrt.f64 (fma.f64 y (+.f64 x z) (*.f64 x z))))
(log.f64 (exp.f64 (sqrt.f64 (fma.f64 y (+.f64 x z) (*.f64 x z)))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (sqrt.f64 (fma.f64 y (+.f64 x z) (*.f64 x z))))))
(cbrt.f64 (pow.f64 (sqrt.f64 (fma.f64 y (+.f64 x z) (*.f64 x z))) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 (fma.f64 y (+.f64 x z) (*.f64 x z)) #s(literal 3/8 binary64)) (pow.f64 (pow.f64 (fma.f64 y (+.f64 x z) (*.f64 x z)) #s(literal 3/8 binary64)) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (sqrt.f64 (fma.f64 y (+.f64 x z) (*.f64 x z)))))
(log1p.f64 (expm1.f64 (sqrt.f64 (fma.f64 y (+.f64 x z) (*.f64 x z)))))
(exp.f64 (log.f64 (sqrt.f64 (fma.f64 y (+.f64 x z) (*.f64 x z)))))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (fma.f64 y (+.f64 x z) (*.f64 x z)))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (*.f64 y z)))) #s(literal 1 binary64))
(*.f64 (sqrt.f64 (*.f64 y z)) #s(literal 1 binary64))
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(pow.f64 (fma.f64 x z (/.f64 (*.f64 y (pow.f64 x #s(literal 2 binary64))) (-.f64 x z))) #s(literal 1/2 binary64))
(pow.f64 (sqrt.f64 (fma.f64 x z (/.f64 (*.f64 y (pow.f64 x #s(literal 2 binary64))) (-.f64 x z)))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (sqrt.f64 (fma.f64 x z (/.f64 (*.f64 y (pow.f64 x #s(literal 2 binary64))) (-.f64 x z))))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (fma.f64 x z (/.f64 (*.f64 y (pow.f64 x #s(literal 2 binary64))) (-.f64 x z))) #s(literal 3/2 binary64)) #s(literal 1/3 binary64))
(pow.f64 (pow.f64 (fma.f64 x z (/.f64 (*.f64 y (pow.f64 x #s(literal 2 binary64))) (-.f64 x z))) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(fabs.f64 (sqrt.f64 (fma.f64 x z (/.f64 (*.f64 y (pow.f64 x #s(literal 2 binary64))) (-.f64 x z)))))
(log.f64 (exp.f64 (sqrt.f64 (fma.f64 x z (/.f64 (*.f64 y (pow.f64 x #s(literal 2 binary64))) (-.f64 x z))))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (sqrt.f64 (fma.f64 x z (/.f64 (*.f64 y (pow.f64 x #s(literal 2 binary64))) (-.f64 x z)))))))
(cbrt.f64 (pow.f64 (fma.f64 x z (/.f64 (*.f64 y (pow.f64 x #s(literal 2 binary64))) (-.f64 x z))) #s(literal 3/2 binary64)))
(expm1.f64 (log1p.f64 (sqrt.f64 (fma.f64 x z (/.f64 (*.f64 y (pow.f64 x #s(literal 2 binary64))) (-.f64 x z))))))
(hypot.f64 (sqrt.f64 (*.f64 x z)) (*.f64 x (sqrt.f64 (/.f64 y (-.f64 x z)))))
(log1p.f64 (expm1.f64 (sqrt.f64 (fma.f64 x z (/.f64 (*.f64 y (pow.f64 x #s(literal 2 binary64))) (-.f64 x z))))))
(exp.f64 (log.f64 (sqrt.f64 (fma.f64 x z (/.f64 (*.f64 y (pow.f64 x #s(literal 2 binary64))) (-.f64 x z))))))
(exp.f64 (*.f64 (log.f64 (fma.f64 x z (/.f64 (*.f64 y (pow.f64 x #s(literal 2 binary64))) (-.f64 x z)))) #s(literal 1/2 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (fma.f64 x z (/.f64 (*.f64 y (pow.f64 x #s(literal 2 binary64))) (-.f64 x z))))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (*.f64 y (pow.f64 x #s(literal 2 binary64))) (-.f64 x z)))) #s(literal 1 binary64))
(*.f64 y (/.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 x z)))
(*.f64 y (*.f64 (pow.f64 x #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 x z))))
(*.f64 x (*.f64 x (/.f64 y (-.f64 x z))))
(*.f64 #s(literal 1 binary64) (/.f64 (*.f64 y (pow.f64 x #s(literal 2 binary64))) (-.f64 x z)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (/.f64 y (-.f64 x z)))
(*.f64 (*.f64 y (pow.f64 x #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 x z)))
(*.f64 (/.f64 (*.f64 y (pow.f64 x #s(literal 2 binary64))) (-.f64 x z)) #s(literal 1 binary64))
(*.f64 (cbrt.f64 (pow.f64 x #s(literal 4 binary64))) (*.f64 (cbrt.f64 (pow.f64 x #s(literal 2 binary64))) (/.f64 y (-.f64 x z))))
(*.f64 (cbrt.f64 (/.f64 (*.f64 y (pow.f64 x #s(literal 2 binary64))) (-.f64 x z))) (pow.f64 (cbrt.f64 (/.f64 (*.f64 y (pow.f64 x #s(literal 2 binary64))) (-.f64 x z))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (*.f64 y (pow.f64 x #s(literal 2 binary64))) (-.f64 x z))) #s(literal 2 binary64)) (cbrt.f64 (/.f64 (*.f64 y (pow.f64 x #s(literal 2 binary64))) (-.f64 x z))))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 y (pow.f64 x #s(literal 2 binary64)))) #s(literal 2 binary64)) (/.f64 (cbrt.f64 (*.f64 y (pow.f64 x #s(literal 2 binary64)))) (-.f64 x z)))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 y (pow.f64 x #s(literal 2 binary64)))) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (*.f64 y (pow.f64 x #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 x z))))
(*.f64 (*.f64 x (sqrt.f64 (/.f64 y (-.f64 x z)))) (*.f64 x (sqrt.f64 (/.f64 y (-.f64 x z)))))
(*.f64 (*.f64 x (sqrt.f64 y)) (/.f64 (*.f64 x (sqrt.f64 y)) (-.f64 x z)))
(*.f64 (*.f64 x (sqrt.f64 y)) (*.f64 (*.f64 x (sqrt.f64 y)) (/.f64 #s(literal 1 binary64) (-.f64 x z))))
(*.f64 (*.f64 y (neg.f64 (pow.f64 x #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 x z))))
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 x z)) (*.f64 y (pow.f64 x #s(literal 2 binary64))))
(*.f64 (/.f64 y (-.f64 x z)) (pow.f64 x #s(literal 2 binary64)))
(*.f64 (/.f64 y #s(literal 1 binary64)) (/.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 x z)))
(*.f64 (/.f64 y (pow.f64 (cbrt.f64 (-.f64 x z)) #s(literal 2 binary64))) (/.f64 (pow.f64 x #s(literal 2 binary64)) (cbrt.f64 (-.f64 x z))))
(*.f64 (/.f64 y (sqrt.f64 (-.f64 x z))) (/.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (-.f64 x z))))
(*.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (-.f64 x z))) (/.f64 y (sqrt.f64 (-.f64 x z))))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 (-.f64 x z)) #s(literal 2 binary64))) (/.f64 (*.f64 y (pow.f64 x #s(literal 2 binary64))) (cbrt.f64 (-.f64 x z))))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 x z))) (/.f64 (*.f64 y (pow.f64 x #s(literal 2 binary64))) (sqrt.f64 (-.f64 x z))))
(*.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 y (-.f64 x z)))
(*.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (cbrt.f64 (-.f64 x z)) #s(literal 2 binary64))) (/.f64 y (cbrt.f64 (-.f64 x z))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 y (pow.f64 x #s(literal 2 binary64)))) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (cbrt.f64 (*.f64 y (pow.f64 x #s(literal 2 binary64)))) (-.f64 x z)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 y (pow.f64 x #s(literal 2 binary64)))) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 (-.f64 x z)) #s(literal 2 binary64))) (cbrt.f64 (/.f64 (*.f64 y (pow.f64 x #s(literal 2 binary64))) (-.f64 x z))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 y (pow.f64 x #s(literal 2 binary64)))) #s(literal 2 binary64)) (sqrt.f64 (-.f64 x z))) (/.f64 (cbrt.f64 (*.f64 y (pow.f64 x #s(literal 2 binary64)))) (sqrt.f64 (-.f64 x z))))
(*.f64 (/.f64 (*.f64 x (sqrt.f64 y)) #s(literal 1 binary64)) (/.f64 (*.f64 x (sqrt.f64 y)) (-.f64 x z)))
(*.f64 (/.f64 (*.f64 x (sqrt.f64 y)) (pow.f64 (cbrt.f64 (-.f64 x z)) #s(literal 2 binary64))) (/.f64 (*.f64 x (sqrt.f64 y)) (cbrt.f64 (-.f64 x z))))
(*.f64 (/.f64 (*.f64 y (pow.f64 x #s(literal 2 binary64))) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64)))) (fma.f64 x x (*.f64 z (+.f64 x z))))
(*.f64 (/.f64 (*.f64 y (pow.f64 x #s(literal 2 binary64))) (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) (+.f64 x z))
(pow.f64 (/.f64 (*.f64 y (pow.f64 x #s(literal 2 binary64))) (-.f64 x z)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (/.f64 (*.f64 y (pow.f64 x #s(literal 2 binary64))) (-.f64 x z))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (/.f64 (*.f64 y (pow.f64 x #s(literal 2 binary64))) (-.f64 x z)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (*.f64 x (sqrt.f64 (/.f64 y (-.f64 x z)))) #s(literal 2 binary64))
(pow.f64 (/.f64 (-.f64 x z) (*.f64 y (pow.f64 x #s(literal 2 binary64)))) #s(literal -1 binary64))
(neg.f64 (/.f64 (*.f64 y (pow.f64 x #s(literal 2 binary64))) (neg.f64 (-.f64 x z))))
(neg.f64 (/.f64 (*.f64 y (neg.f64 (pow.f64 x #s(literal 2 binary64)))) (-.f64 x z)))
(sqrt.f64 (pow.f64 (/.f64 (*.f64 y (pow.f64 x #s(literal 2 binary64))) (-.f64 x z)) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 (pow.f64 x #s(literal 2 binary64))) (/.f64 y (-.f64 x z))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 (*.f64 y (pow.f64 x #s(literal 2 binary64))) (-.f64 x z)))))
(cbrt.f64 (pow.f64 (/.f64 (*.f64 y (pow.f64 x #s(literal 2 binary64))) (-.f64 x z)) #s(literal 3 binary64)))
(cbrt.f64 (/.f64 (pow.f64 (*.f64 y (pow.f64 x #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 (-.f64 x z) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (/.f64 (*.f64 y (pow.f64 x #s(literal 2 binary64))) (-.f64 x z))))
(log1p.f64 (expm1.f64 (/.f64 (*.f64 y (pow.f64 x #s(literal 2 binary64))) (-.f64 x z))))
(exp.f64 (log.f64 (/.f64 (*.f64 y (pow.f64 x #s(literal 2 binary64))) (-.f64 x z))))
(exp.f64 (*.f64 (log.f64 (/.f64 (*.f64 y (pow.f64 x #s(literal 2 binary64))) (-.f64 x z))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 y (pow.f64 x #s(literal 2 binary64))))) #s(literal 1 binary64))
(pow.f64 (*.f64 y (pow.f64 x #s(literal 2 binary64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 y (pow.f64 x #s(literal 2 binary64)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 y (pow.f64 x #s(literal 2 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (*.f64 x (sqrt.f64 y)) #s(literal 2 binary64))
(sqrt.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 2 binary64))))
(log.f64 (pow.f64 (exp.f64 (pow.f64 x #s(literal 2 binary64))) y))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 y (pow.f64 x #s(literal 2 binary64))))))
(cbrt.f64 (pow.f64 (*.f64 y (pow.f64 x #s(literal 2 binary64))) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 y (pow.f64 x #s(literal 2 binary64)))))
(log1p.f64 (expm1.f64 (*.f64 y (pow.f64 x #s(literal 2 binary64)))))
(exp.f64 (log.f64 (*.f64 y (pow.f64 x #s(literal 2 binary64)))))
(exp.f64 (*.f64 (log.f64 (*.f64 y (pow.f64 x #s(literal 2 binary64)))) #s(literal 1 binary64)))

simplify421.0ms (2.4%)

Algorithm
egg-herbie
Rules
1420×*-commutative
922×times-frac
558×+-commutative
398×fma-define
378×associate-*r*
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0185944607
1552043003
Stop Event
node limit
Counts
567 → 691
Calls
Call 1
Inputs
(pow.f64 (*.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64)))) #s(literal 1/8 binary64))
(+.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 (pow.f64 (*.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64)))) #s(literal 1/8 binary64)) (*.f64 y (+.f64 (*.f64 #s(literal 2 binary64) (/.f64 (+.f64 x z) (*.f64 x z))) (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) z)))))) (pow.f64 (*.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64)))) #s(literal 1/8 binary64)))
(+.f64 (*.f64 y (+.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 (pow.f64 (*.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64)))) #s(literal 1/8 binary64)) (+.f64 (*.f64 #s(literal 2 binary64) (/.f64 (+.f64 x z) (*.f64 x z))) (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) z))))) (*.f64 (pow.f64 (*.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64)))) #s(literal 1/8 binary64)) (*.f64 y (+.f64 (*.f64 #s(literal 1/128 binary64) (pow.f64 (+.f64 (*.f64 #s(literal 2 binary64) (/.f64 (+.f64 x z) (*.f64 x z))) (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) z))) #s(literal 2 binary64))) (*.f64 #s(literal 1/16 binary64) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (+.f64 (*.f64 #s(literal 2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 x z)))) (*.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 x z)))) #s(literal 2 binary64)) (*.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 z #s(literal 6 binary64))))) (*.f64 #s(literal 2 binary64) (/.f64 (+.f64 (*.f64 #s(literal 2 binary64) (*.f64 x (*.f64 z (pow.f64 (+.f64 x z) #s(literal 2 binary64))))) (*.f64 x (*.f64 z (pow.f64 (+.f64 x z) #s(literal 2 binary64))))) (*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64)))))))))))) (pow.f64 (*.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64)))) #s(literal 1/8 binary64)))
(+.f64 (*.f64 y (+.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 (pow.f64 (*.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64)))) #s(literal 1/8 binary64)) (+.f64 (*.f64 #s(literal 2 binary64) (/.f64 (+.f64 x z) (*.f64 x z))) (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) z))))) (*.f64 y (+.f64 (*.f64 (pow.f64 (*.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64)))) #s(literal 1/8 binary64)) (*.f64 y (+.f64 (*.f64 #s(literal 1/3072 binary64) (pow.f64 (+.f64 (*.f64 #s(literal 2 binary64) (/.f64 (+.f64 x z) (*.f64 x z))) (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) z))) #s(literal 3 binary64))) (+.f64 (*.f64 #s(literal 1/128 binary64) (*.f64 (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (+.f64 (*.f64 #s(literal 2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 x z)))) (*.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 x z)))) #s(literal 2 binary64)) (*.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 z #s(literal 6 binary64))))) (*.f64 #s(literal 2 binary64) (/.f64 (+.f64 (*.f64 #s(literal 2 binary64) (*.f64 x (*.f64 z (pow.f64 (+.f64 x z) #s(literal 2 binary64))))) (*.f64 x (*.f64 z (pow.f64 (+.f64 x z) #s(literal 2 binary64))))) (*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64)))))) (+.f64 (*.f64 #s(literal 2 binary64) (/.f64 (+.f64 x z) (*.f64 x z))) (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) z))))) (*.f64 #s(literal 1/48 binary64) (+.f64 (*.f64 #s(literal -6 binary64) (/.f64 (*.f64 (+.f64 (*.f64 #s(literal 2 binary64) (*.f64 x (*.f64 z (pow.f64 (+.f64 x z) #s(literal 2 binary64))))) (*.f64 x (*.f64 z (pow.f64 (+.f64 x z) #s(literal 2 binary64))))) (+.f64 (*.f64 #s(literal 2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 x z)))) (*.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 x z))))) (*.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 z #s(literal 6 binary64))))) (+.f64 (*.f64 #s(literal 2 binary64) (/.f64 (pow.f64 (+.f64 (*.f64 #s(literal 2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 x z)))) (*.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 x z)))) #s(literal 3 binary64)) (*.f64 (pow.f64 x #s(literal 9 binary64)) (pow.f64 z #s(literal 9 binary64))))) (*.f64 #s(literal 6 binary64) (/.f64 (pow.f64 (+.f64 x z) #s(literal 3 binary64)) (*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64)))))))))))) (*.f64 (pow.f64 (*.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64)))) #s(literal 1/8 binary64)) (+.f64 (*.f64 #s(literal 1/128 binary64) (pow.f64 (+.f64 (*.f64 #s(literal 2 binary64) (/.f64 (+.f64 x z) (*.f64 x z))) (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) z))) #s(literal 2 binary64))) (*.f64 #s(literal 1/16 binary64) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (+.f64 (*.f64 #s(literal 2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 x z)))) (*.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 x z)))) #s(literal 2 binary64)) (*.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 z #s(literal 6 binary64))))) (*.f64 #s(literal 2 binary64) (/.f64 (+.f64 (*.f64 #s(literal 2 binary64) (*.f64 x (*.f64 z (pow.f64 (+.f64 x z) #s(literal 2 binary64))))) (*.f64 x (*.f64 z (pow.f64 (+.f64 x z) #s(literal 2 binary64))))) (*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))))))))))))) (pow.f64 (*.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64)))) #s(literal 1/8 binary64)))
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(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 y (pow.f64 x #s(literal 2 binary64)))) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 (-.f64 x z)) #s(literal 2 binary64))) (cbrt.f64 (/.f64 (*.f64 y (pow.f64 x #s(literal 2 binary64))) (-.f64 x z))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 y (pow.f64 x #s(literal 2 binary64)))) #s(literal 2 binary64)) (sqrt.f64 (-.f64 x z))) (/.f64 (cbrt.f64 (*.f64 y (pow.f64 x #s(literal 2 binary64)))) (sqrt.f64 (-.f64 x z))))
(*.f64 (/.f64 (*.f64 x (sqrt.f64 y)) #s(literal 1 binary64)) (/.f64 (*.f64 x (sqrt.f64 y)) (-.f64 x z)))
(*.f64 (/.f64 (*.f64 x (sqrt.f64 y)) (pow.f64 (cbrt.f64 (-.f64 x z)) #s(literal 2 binary64))) (/.f64 (*.f64 x (sqrt.f64 y)) (cbrt.f64 (-.f64 x z))))
(*.f64 (/.f64 (*.f64 y (pow.f64 x #s(literal 2 binary64))) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64)))) (fma.f64 x x (*.f64 z (+.f64 x z))))
(*.f64 (/.f64 (*.f64 y (pow.f64 x #s(literal 2 binary64))) (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) (+.f64 x z))
(pow.f64 (/.f64 (*.f64 y (pow.f64 x #s(literal 2 binary64))) (-.f64 x z)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (/.f64 (*.f64 y (pow.f64 x #s(literal 2 binary64))) (-.f64 x z))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (/.f64 (*.f64 y (pow.f64 x #s(literal 2 binary64))) (-.f64 x z)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (*.f64 x (sqrt.f64 (/.f64 y (-.f64 x z)))) #s(literal 2 binary64))
(pow.f64 (/.f64 (-.f64 x z) (*.f64 y (pow.f64 x #s(literal 2 binary64)))) #s(literal -1 binary64))
(neg.f64 (/.f64 (*.f64 y (pow.f64 x #s(literal 2 binary64))) (neg.f64 (-.f64 x z))))
(neg.f64 (/.f64 (*.f64 y (neg.f64 (pow.f64 x #s(literal 2 binary64)))) (-.f64 x z)))
(sqrt.f64 (pow.f64 (/.f64 (*.f64 y (pow.f64 x #s(literal 2 binary64))) (-.f64 x z)) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 (pow.f64 x #s(literal 2 binary64))) (/.f64 y (-.f64 x z))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 (*.f64 y (pow.f64 x #s(literal 2 binary64))) (-.f64 x z)))))
(cbrt.f64 (pow.f64 (/.f64 (*.f64 y (pow.f64 x #s(literal 2 binary64))) (-.f64 x z)) #s(literal 3 binary64)))
(cbrt.f64 (/.f64 (pow.f64 (*.f64 y (pow.f64 x #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 (-.f64 x z) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (/.f64 (*.f64 y (pow.f64 x #s(literal 2 binary64))) (-.f64 x z))))
(log1p.f64 (expm1.f64 (/.f64 (*.f64 y (pow.f64 x #s(literal 2 binary64))) (-.f64 x z))))
(exp.f64 (log.f64 (/.f64 (*.f64 y (pow.f64 x #s(literal 2 binary64))) (-.f64 x z))))
(exp.f64 (*.f64 (log.f64 (/.f64 (*.f64 y (pow.f64 x #s(literal 2 binary64))) (-.f64 x z))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 y (pow.f64 x #s(literal 2 binary64))))) #s(literal 1 binary64))
(pow.f64 (*.f64 y (pow.f64 x #s(literal 2 binary64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 y (pow.f64 x #s(literal 2 binary64)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 y (pow.f64 x #s(literal 2 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (*.f64 x (sqrt.f64 y)) #s(literal 2 binary64))
(sqrt.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 2 binary64))))
(log.f64 (pow.f64 (exp.f64 (pow.f64 x #s(literal 2 binary64))) y))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 y (pow.f64 x #s(literal 2 binary64))))))
(cbrt.f64 (pow.f64 (*.f64 y (pow.f64 x #s(literal 2 binary64))) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 y (pow.f64 x #s(literal 2 binary64)))))
(log1p.f64 (expm1.f64 (*.f64 y (pow.f64 x #s(literal 2 binary64)))))
(exp.f64 (log.f64 (*.f64 y (pow.f64 x #s(literal 2 binary64)))))
(exp.f64 (*.f64 (log.f64 (*.f64 y (pow.f64 x #s(literal 2 binary64)))) #s(literal 1 binary64)))
Outputs
(pow.f64 (*.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64)))) #s(literal 1/8 binary64))
(pow.f64 (pow.f64 (*.f64 x z) #s(literal 3 binary64)) #s(literal 1/8 binary64))
(+.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 (pow.f64 (*.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64)))) #s(literal 1/8 binary64)) (*.f64 y (+.f64 (*.f64 #s(literal 2 binary64) (/.f64 (+.f64 x z) (*.f64 x z))) (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) z)))))) (pow.f64 (*.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64)))) #s(literal 1/8 binary64)))
(fma.f64 #s(literal 1/8 binary64) (*.f64 (pow.f64 (pow.f64 (*.f64 x z) #s(literal 3 binary64)) #s(literal 1/8 binary64)) (*.f64 y (fma.f64 #s(literal 2 binary64) (/.f64 (+.f64 x z) (*.f64 x z)) (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) z))))) (pow.f64 (pow.f64 (*.f64 x z) #s(literal 3 binary64)) #s(literal 1/8 binary64)))
(+.f64 (*.f64 y (+.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 (pow.f64 (*.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64)))) #s(literal 1/8 binary64)) (+.f64 (*.f64 #s(literal 2 binary64) (/.f64 (+.f64 x z) (*.f64 x z))) (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) z))))) (*.f64 (pow.f64 (*.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64)))) #s(literal 1/8 binary64)) (*.f64 y (+.f64 (*.f64 #s(literal 1/128 binary64) (pow.f64 (+.f64 (*.f64 #s(literal 2 binary64) (/.f64 (+.f64 x z) (*.f64 x z))) (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) z))) #s(literal 2 binary64))) (*.f64 #s(literal 1/16 binary64) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (+.f64 (*.f64 #s(literal 2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 x z)))) (*.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 x z)))) #s(literal 2 binary64)) (*.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 z #s(literal 6 binary64))))) (*.f64 #s(literal 2 binary64) (/.f64 (+.f64 (*.f64 #s(literal 2 binary64) (*.f64 x (*.f64 z (pow.f64 (+.f64 x z) #s(literal 2 binary64))))) (*.f64 x (*.f64 z (pow.f64 (+.f64 x z) #s(literal 2 binary64))))) (*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64)))))))))))) (pow.f64 (*.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64)))) #s(literal 1/8 binary64)))
(fma.f64 y (fma.f64 #s(literal 1/8 binary64) (*.f64 (pow.f64 (pow.f64 (*.f64 x z) #s(literal 3 binary64)) #s(literal 1/8 binary64)) (fma.f64 #s(literal 2 binary64) (/.f64 (+.f64 x z) (*.f64 x z)) (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) z)))) (*.f64 (*.f64 (pow.f64 (pow.f64 (*.f64 x z) #s(literal 3 binary64)) #s(literal 1/8 binary64)) y) (fma.f64 #s(literal 1/128 binary64) (pow.f64 (fma.f64 #s(literal 2 binary64) (/.f64 (+.f64 x z) (*.f64 x z)) (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) z))) #s(literal 2 binary64)) (*.f64 #s(literal 1/16 binary64) (fma.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (*.f64 #s(literal 3 binary64) (*.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (+.f64 x z))) #s(literal 2 binary64)) (*.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 z #s(literal 6 binary64)))) (/.f64 (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 3 binary64) (*.f64 (*.f64 x z) (pow.f64 (+.f64 x z) #s(literal 2 binary64))))) (pow.f64 (*.f64 x z) #s(literal 3 binary64)))))))) (pow.f64 (pow.f64 (*.f64 x z) #s(literal 3 binary64)) #s(literal 1/8 binary64)))
(fma.f64 y (fma.f64 #s(literal 1/8 binary64) (*.f64 (pow.f64 (pow.f64 (*.f64 x z) #s(literal 3 binary64)) #s(literal 1/8 binary64)) (fma.f64 #s(literal 2 binary64) (/.f64 (+.f64 x z) (*.f64 x z)) (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) z)))) (*.f64 (pow.f64 (pow.f64 (*.f64 x z) #s(literal 3 binary64)) #s(literal 1/8 binary64)) (*.f64 y (fma.f64 #s(literal 1/128 binary64) (pow.f64 (fma.f64 #s(literal 2 binary64) (/.f64 (+.f64 x z) (*.f64 x z)) (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) z))) #s(literal 2 binary64)) (*.f64 #s(literal 1/16 binary64) (-.f64 (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 3 binary64) (/.f64 (*.f64 x (*.f64 z (pow.f64 (+.f64 x z) #s(literal 2 binary64)))) (pow.f64 (*.f64 x z) #s(literal 3 binary64))))) (/.f64 (pow.f64 (*.f64 #s(literal 3 binary64) (*.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (+.f64 x z))) #s(literal 2 binary64)) (*.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 z #s(literal 6 binary64)))))))))) (pow.f64 (pow.f64 (*.f64 x z) #s(literal 3 binary64)) #s(literal 1/8 binary64)))
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(*.f64 (*.f64 y (neg.f64 (pow.f64 x #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 x z))))
(/.f64 (*.f64 y (pow.f64 x #s(literal 2 binary64))) (-.f64 x z))
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 x z)) (*.f64 y (pow.f64 x #s(literal 2 binary64))))
(/.f64 (*.f64 y (pow.f64 x #s(literal 2 binary64))) (-.f64 x z))
(*.f64 (/.f64 y (-.f64 x z)) (pow.f64 x #s(literal 2 binary64)))
(/.f64 (*.f64 y (pow.f64 x #s(literal 2 binary64))) (-.f64 x z))
(*.f64 (/.f64 y #s(literal 1 binary64)) (/.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 x z)))
(/.f64 (*.f64 y (pow.f64 x #s(literal 2 binary64))) (-.f64 x z))
(*.f64 (/.f64 y (pow.f64 (cbrt.f64 (-.f64 x z)) #s(literal 2 binary64))) (/.f64 (pow.f64 x #s(literal 2 binary64)) (cbrt.f64 (-.f64 x z))))
(*.f64 (/.f64 y (sqrt.f64 (-.f64 x z))) (/.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (-.f64 x z))))
(*.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (-.f64 x z))) (/.f64 y (sqrt.f64 (-.f64 x z))))
(*.f64 (/.f64 y (sqrt.f64 (-.f64 x z))) (/.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (-.f64 x z))))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 (-.f64 x z)) #s(literal 2 binary64))) (/.f64 (*.f64 y (pow.f64 x #s(literal 2 binary64))) (cbrt.f64 (-.f64 x z))))
(*.f64 (/.f64 y (pow.f64 (cbrt.f64 (-.f64 x z)) #s(literal 2 binary64))) (/.f64 (pow.f64 x #s(literal 2 binary64)) (cbrt.f64 (-.f64 x z))))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 x z))) (/.f64 (*.f64 y (pow.f64 x #s(literal 2 binary64))) (sqrt.f64 (-.f64 x z))))
(*.f64 (/.f64 y (sqrt.f64 (-.f64 x z))) (/.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (-.f64 x z))))
(*.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 y (-.f64 x z)))
(/.f64 (*.f64 y (pow.f64 x #s(literal 2 binary64))) (-.f64 x z))
(*.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (cbrt.f64 (-.f64 x z)) #s(literal 2 binary64))) (/.f64 y (cbrt.f64 (-.f64 x z))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 y (pow.f64 x #s(literal 2 binary64)))) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (cbrt.f64 (*.f64 y (pow.f64 x #s(literal 2 binary64)))) (-.f64 x z)))
(/.f64 (*.f64 y (pow.f64 x #s(literal 2 binary64))) (-.f64 x z))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 y (pow.f64 x #s(literal 2 binary64)))) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 (-.f64 x z)) #s(literal 2 binary64))) (cbrt.f64 (/.f64 (*.f64 y (pow.f64 x #s(literal 2 binary64))) (-.f64 x z))))
(*.f64 (cbrt.f64 (/.f64 (*.f64 y (pow.f64 x #s(literal 2 binary64))) (-.f64 x z))) (/.f64 (pow.f64 (cbrt.f64 (*.f64 y (pow.f64 x #s(literal 2 binary64)))) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 (-.f64 x z)) #s(literal 2 binary64))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 y (pow.f64 x #s(literal 2 binary64)))) #s(literal 2 binary64)) (sqrt.f64 (-.f64 x z))) (/.f64 (cbrt.f64 (*.f64 y (pow.f64 x #s(literal 2 binary64)))) (sqrt.f64 (-.f64 x z))))
(*.f64 (/.f64 (*.f64 x (sqrt.f64 y)) #s(literal 1 binary64)) (/.f64 (*.f64 x (sqrt.f64 y)) (-.f64 x z)))
(/.f64 (pow.f64 (*.f64 x (sqrt.f64 y)) #s(literal 2 binary64)) (-.f64 x z))
(*.f64 (/.f64 (*.f64 x (sqrt.f64 y)) (pow.f64 (cbrt.f64 (-.f64 x z)) #s(literal 2 binary64))) (/.f64 (*.f64 x (sqrt.f64 y)) (cbrt.f64 (-.f64 x z))))
(*.f64 (*.f64 x (/.f64 (sqrt.f64 y) (pow.f64 (cbrt.f64 (-.f64 x z)) #s(literal 2 binary64)))) (/.f64 (*.f64 x (sqrt.f64 y)) (cbrt.f64 (-.f64 x z))))
(*.f64 (/.f64 (*.f64 y (pow.f64 x #s(literal 2 binary64))) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64)))) (fma.f64 x x (*.f64 z (+.f64 x z))))
(*.f64 (/.f64 (*.f64 y (pow.f64 x #s(literal 2 binary64))) (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) (+.f64 x z))
(*.f64 (+.f64 x z) (*.f64 y (/.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))))
(pow.f64 (/.f64 (*.f64 y (pow.f64 x #s(literal 2 binary64))) (-.f64 x z)) #s(literal 1 binary64))
(/.f64 (*.f64 y (pow.f64 x #s(literal 2 binary64))) (-.f64 x z))
(pow.f64 (cbrt.f64 (/.f64 (*.f64 y (pow.f64 x #s(literal 2 binary64))) (-.f64 x z))) #s(literal 3 binary64))
(/.f64 (*.f64 y (pow.f64 x #s(literal 2 binary64))) (-.f64 x z))
(pow.f64 (pow.f64 (/.f64 (*.f64 y (pow.f64 x #s(literal 2 binary64))) (-.f64 x z)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(/.f64 (*.f64 y (pow.f64 x #s(literal 2 binary64))) (-.f64 x z))
(pow.f64 (*.f64 x (sqrt.f64 (/.f64 y (-.f64 x z)))) #s(literal 2 binary64))
(/.f64 (*.f64 y (pow.f64 x #s(literal 2 binary64))) (-.f64 x z))
(pow.f64 (/.f64 (-.f64 x z) (*.f64 y (pow.f64 x #s(literal 2 binary64)))) #s(literal -1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x z) (*.f64 y (pow.f64 x #s(literal 2 binary64)))))
(neg.f64 (/.f64 (*.f64 y (pow.f64 x #s(literal 2 binary64))) (neg.f64 (-.f64 x z))))
(/.f64 (*.f64 y (pow.f64 x #s(literal 2 binary64))) (-.f64 x z))
(neg.f64 (/.f64 (*.f64 y (neg.f64 (pow.f64 x #s(literal 2 binary64)))) (-.f64 x z)))
(/.f64 (*.f64 y (pow.f64 x #s(literal 2 binary64))) (-.f64 x z))
(sqrt.f64 (pow.f64 (/.f64 (*.f64 y (pow.f64 x #s(literal 2 binary64))) (-.f64 x z)) #s(literal 2 binary64)))
(fabs.f64 (/.f64 (*.f64 y (pow.f64 x #s(literal 2 binary64))) (-.f64 x z)))
(log.f64 (pow.f64 (exp.f64 (pow.f64 x #s(literal 2 binary64))) (/.f64 y (-.f64 x z))))
(/.f64 (*.f64 y (pow.f64 x #s(literal 2 binary64))) (-.f64 x z))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 (*.f64 y (pow.f64 x #s(literal 2 binary64))) (-.f64 x z)))))
(/.f64 (*.f64 y (pow.f64 x #s(literal 2 binary64))) (-.f64 x z))
(cbrt.f64 (pow.f64 (/.f64 (*.f64 y (pow.f64 x #s(literal 2 binary64))) (-.f64 x z)) #s(literal 3 binary64)))
(/.f64 (*.f64 y (pow.f64 x #s(literal 2 binary64))) (-.f64 x z))
(cbrt.f64 (/.f64 (pow.f64 (*.f64 y (pow.f64 x #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 (-.f64 x z) #s(literal 3 binary64))))
(/.f64 (*.f64 y (pow.f64 x #s(literal 2 binary64))) (-.f64 x z))
(expm1.f64 (log1p.f64 (/.f64 (*.f64 y (pow.f64 x #s(literal 2 binary64))) (-.f64 x z))))
(log1p.f64 (expm1.f64 (/.f64 (*.f64 y (pow.f64 x #s(literal 2 binary64))) (-.f64 x z))))
(/.f64 (*.f64 y (pow.f64 x #s(literal 2 binary64))) (-.f64 x z))
(exp.f64 (log.f64 (/.f64 (*.f64 y (pow.f64 x #s(literal 2 binary64))) (-.f64 x z))))
(/.f64 (*.f64 y (pow.f64 x #s(literal 2 binary64))) (-.f64 x z))
(exp.f64 (*.f64 (log.f64 (/.f64 (*.f64 y (pow.f64 x #s(literal 2 binary64))) (-.f64 x z))) #s(literal 1 binary64)))
(/.f64 (*.f64 y (pow.f64 x #s(literal 2 binary64))) (-.f64 x z))
(-.f64 (exp.f64 (log1p.f64 (*.f64 y (pow.f64 x #s(literal 2 binary64))))) #s(literal 1 binary64))
(expm1.f64 (log1p.f64 (*.f64 y (pow.f64 x #s(literal 2 binary64)))))
(pow.f64 (*.f64 y (pow.f64 x #s(literal 2 binary64))) #s(literal 1 binary64))
(*.f64 y (pow.f64 x #s(literal 2 binary64)))
(pow.f64 (cbrt.f64 (*.f64 y (pow.f64 x #s(literal 2 binary64)))) #s(literal 3 binary64))
(*.f64 y (pow.f64 x #s(literal 2 binary64)))
(pow.f64 (pow.f64 (*.f64 y (pow.f64 x #s(literal 2 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(*.f64 y (pow.f64 x #s(literal 2 binary64)))
(pow.f64 (*.f64 x (sqrt.f64 y)) #s(literal 2 binary64))
(sqrt.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 2 binary64))))
(sqrt.f64 (*.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64))))
(log.f64 (pow.f64 (exp.f64 (pow.f64 x #s(literal 2 binary64))) y))
(*.f64 y (pow.f64 x #s(literal 2 binary64)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 y (pow.f64 x #s(literal 2 binary64))))))
(*.f64 y (pow.f64 x #s(literal 2 binary64)))
(cbrt.f64 (pow.f64 (*.f64 y (pow.f64 x #s(literal 2 binary64))) #s(literal 3 binary64)))
(*.f64 y (pow.f64 x #s(literal 2 binary64)))
(cbrt.f64 (*.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 3 binary64))))
(*.f64 y (pow.f64 x #s(literal 2 binary64)))
(cbrt.f64 (*.f64 (pow.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))
(*.f64 y (pow.f64 x #s(literal 2 binary64)))
(expm1.f64 (log1p.f64 (*.f64 y (pow.f64 x #s(literal 2 binary64)))))
(log1p.f64 (expm1.f64 (*.f64 y (pow.f64 x #s(literal 2 binary64)))))
(*.f64 y (pow.f64 x #s(literal 2 binary64)))
(exp.f64 (log.f64 (*.f64 y (pow.f64 x #s(literal 2 binary64)))))
(*.f64 y (pow.f64 x #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (*.f64 y (pow.f64 x #s(literal 2 binary64)))) #s(literal 1 binary64)))
(*.f64 y (pow.f64 x #s(literal 2 binary64)))

eval921.0ms (5.3%)

Compiler

Compiled 49719 to 29351 computations (41% saved)

prune501.0ms (2.9%)

Pruning

31 alts after pruning (24 fresh and 7 done)

PrunedKeptTotal
New9278935
Fresh31619
Picked325
Done156
Total93431965
Accuracy
98.6%
Counts
965 → 31
Alt Table
Click to see full alt table
StatusAccuracyProgram
62.8%
(*.f64 #s(literal 2 binary64) (pow.f64 (pow.f64 (fma.f64 y (+.f64 x z) (*.f64 x z)) #s(literal 1/8 binary64)) #s(literal 4 binary64)))
28.6%
(*.f64 #s(literal 2 binary64) (pow.f64 (pow.f64 (*.f64 z y) #s(literal 1/4 binary64)) #s(literal 2 binary64)))
36.2%
(*.f64 #s(literal 2 binary64) (pow.f64 (pow.f64 (*.f64 y x) #s(literal 1/4 binary64)) #s(literal 2 binary64)))
48.5%
(*.f64 #s(literal 2 binary64) (pow.f64 (exp.f64 (*.f64 #s(literal 1/4 binary64) (+.f64 (log.f64 (+.f64 (*.f64 #s(literal -1 binary64) y) (*.f64 #s(literal -1 binary64) z))) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x)))))) #s(literal 2 binary64)))
47.5%
(*.f64 #s(literal 2 binary64) (pow.f64 (exp.f64 (*.f64 #s(literal 1/4 binary64) (+.f64 (log.f64 (*.f64 #s(literal -1 binary64) (+.f64 x z))) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) y)))))) #s(literal 2 binary64)))
35.8%
(*.f64 #s(literal 2 binary64) (pow.f64 (cbrt.f64 (sqrt.f64 (*.f64 y x))) #s(literal 3 binary64)))
3.2%
(*.f64 #s(literal 2 binary64) (pow.f64 (cbrt.f64 (sqrt.f64 (*.f64 x z))) #s(literal 3 binary64)))
22.5%
(*.f64 #s(literal 2 binary64) (hypot.f64 (sqrt.f64 (*.f64 x z)) (*.f64 x (sqrt.f64 (/.f64 y (-.f64 x z))))))
23.2%
(*.f64 #s(literal 2 binary64) (+.f64 (sqrt.f64 (*.f64 y z)) (*.f64 #s(literal 1/2 binary64) (*.f64 (neg.f64 x) (sqrt.f64 (/.f64 z y))))))
46.2%
(*.f64 #s(literal 2 binary64) (*.f64 (sqrt.f64 (+.f64 y x)) (sqrt.f64 z)))
45.2%
(*.f64 #s(literal 2 binary64) (*.f64 (sqrt.f64 z) (sqrt.f64 y)))
36.0%
(*.f64 #s(literal 2 binary64) (*.f64 (cbrt.f64 (*.f64 y x)) (cbrt.f64 (sqrt.f64 (*.f64 y x)))))
38.0%
(*.f64 #s(literal 2 binary64) (*.f64 z (+.f64 (sqrt.f64 (/.f64 (+.f64 y x) z)) (*.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 z #s(literal 3 binary64)) (+.f64 y x))))))))))
20.6%
(*.f64 #s(literal 2 binary64) (*.f64 y (fma.f64 #s(literal 1/2 binary64) (*.f64 z (sqrt.f64 (/.f64 (-.f64 x z) (pow.f64 y #s(literal 3 binary64))))) (*.f64 x (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) (-.f64 x z)))))))
19.0%
(*.f64 #s(literal 2 binary64) (*.f64 y (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 (-.f64 x z) (pow.f64 y #s(literal 3 binary64)))) z)) (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (-.f64 x z))))))))
32.9%
(*.f64 #s(literal 2 binary64) (*.f64 y (+.f64 (sqrt.f64 (/.f64 z y)) (*.f64 (*.f64 #s(literal 1/2 binary64) x) (sqrt.f64 (/.f64 z (pow.f64 y #s(literal 3 binary64))))))))
63.3%
(*.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (*.f64 x y) (*.f64 z (+.f64 y x)))))
52.6%
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 z (+.f64 (+.f64 x y) (*.f64 x (/.f64 y z))))))
29.5%
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 z (+.f64 y x))))
28.7%
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 z y)))
3.2%
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 z x)))
23.8%
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 y (+.f64 z (*.f64 x (/.f64 z y))))))
36.3%
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 y x)))
14.5%
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 x (+.f64 z (*.f64 y (/.f64 z x))))))
37.1%
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 x (+.f64 z y))))
18.4%
(*.f64 #s(literal 2 binary64) (sqrt.f64 (sqrt.f64 (pow.f64 (*.f64 z (+.f64 x y)) #s(literal 2 binary64)))))
26.9%
(*.f64 #s(literal 2 binary64) (exp.f64 (*.f64 (log.f64 (*.f64 y z)) #s(literal 1/2 binary64))))
3.2%
(*.f64 #s(literal 2 binary64) (exp.f64 (*.f64 (log.f64 (*.f64 x z)) #s(literal 1/2 binary64))))
20.7%
(*.f64 #s(literal 2 binary64) (cbrt.f64 (pow.f64 (*.f64 z y) #s(literal 3/2 binary64))))
24.7%
(*.f64 #s(literal 2 binary64) (cbrt.f64 (pow.f64 (*.f64 y x) #s(literal 3/2 binary64))))
3.0%
(*.f64 #s(literal 2 binary64) (cbrt.f64 (pow.f64 (*.f64 x z) #s(literal 3/2 binary64))))
Compiler

Compiled 1263 to 778 computations (38.4% saved)

regimes487.0ms (2.8%)

Counts
57 → 4
Calls
Call 1
Inputs
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 y x)))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 y z)))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 z x)))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 z y)))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 x (+.f64 y z))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 x (+.f64 z y))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 z (+.f64 y x))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 x (+.f64 z (*.f64 y (/.f64 z x))))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 y (+.f64 z (*.f64 x (/.f64 z y))))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (*.f64 x y) (*.f64 z (+.f64 y x)))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 x (+.f64 y (+.f64 z (*.f64 y (/.f64 z x)))))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 z (+.f64 x (+.f64 y (*.f64 x (/.f64 y z)))))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 z (+.f64 (+.f64 x y) (*.f64 x (/.f64 y z))))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (+.f64 (*.f64 x y) (*.f64 x z)) (*.f64 y z))))
(*.f64 #s(literal 2 binary64) (*.f64 (sqrt.f64 y) (sqrt.f64 x)))
(*.f64 #s(literal 2 binary64) (*.f64 (sqrt.f64 z) (sqrt.f64 x)))
(*.f64 #s(literal 2 binary64) (*.f64 (sqrt.f64 z) (sqrt.f64 y)))
(*.f64 #s(literal 2 binary64) (cbrt.f64 (pow.f64 (*.f64 x z) #s(literal 3/2 binary64))))
(*.f64 #s(literal 2 binary64) (cbrt.f64 (pow.f64 (*.f64 y x) #s(literal 3/2 binary64))))
(*.f64 #s(literal 2 binary64) (cbrt.f64 (pow.f64 (*.f64 z y) #s(literal 3/2 binary64))))
(*.f64 #s(literal 2 binary64) (exp.f64 (*.f64 (log.f64 (*.f64 x z)) #s(literal 1/2 binary64))))
(*.f64 #s(literal 2 binary64) (exp.f64 (*.f64 (log.f64 (*.f64 y z)) #s(literal 1/2 binary64))))
(*.f64 #s(literal 2 binary64) (*.f64 (sqrt.f64 (+.f64 y x)) (sqrt.f64 z)))
(*.f64 #s(literal 2 binary64) (pow.f64 (pow.f64 (*.f64 x z) #s(literal 1/4 binary64)) #s(literal 2 binary64)))
(*.f64 #s(literal 2 binary64) (pow.f64 (pow.f64 (*.f64 y x) #s(literal 1/4 binary64)) #s(literal 2 binary64)))
(*.f64 #s(literal 2 binary64) (pow.f64 (pow.f64 (*.f64 z y) #s(literal 1/4 binary64)) #s(literal 2 binary64)))
(*.f64 #s(literal 2 binary64) (cbrt.f64 (pow.f64 (*.f64 z (+.f64 y x)) #s(literal 3/2 binary64))))
(*.f64 #s(literal 2 binary64) (exp.f64 (*.f64 (log.f64 (*.f64 z (+.f64 y x))) #s(literal 1/2 binary64))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (fma.f64 x z (*.f64 y (+.f64 x z)))))
(*.f64 #s(literal 2 binary64) (+.f64 (sqrt.f64 (*.f64 y z)) (*.f64 #s(literal 1/2 binary64) (*.f64 (neg.f64 x) (sqrt.f64 (/.f64 z y))))))
(*.f64 #s(literal 2 binary64) (+.f64 (sqrt.f64 (*.f64 y z)) (*.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 (+.f64 y z) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 y z))))))))
(*.f64 #s(literal 2 binary64) (pow.f64 (cbrt.f64 (sqrt.f64 (*.f64 x z))) #s(literal 3 binary64)))
(*.f64 #s(literal 2 binary64) (pow.f64 (cbrt.f64 (sqrt.f64 (*.f64 y x))) #s(literal 3 binary64)))
(*.f64 #s(literal 2 binary64) (cbrt.f64 (pow.f64 (sqrt.f64 (*.f64 z (+.f64 x y))) #s(literal 3 binary64))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (sqrt.f64 (pow.f64 (*.f64 z (+.f64 x y)) #s(literal 2 binary64)))))
(*.f64 #s(literal 2 binary64) (pow.f64 (cbrt.f64 (sqrt.f64 (*.f64 z (+.f64 y x)))) #s(literal 3 binary64)))
(*.f64 #s(literal 2 binary64) (cbrt.f64 (exp.f64 (*.f64 #s(literal 3/2 binary64) (log.f64 (*.f64 z (+.f64 y x)))))))
(*.f64 #s(literal 2 binary64) (*.f64 (cbrt.f64 (*.f64 y x)) (cbrt.f64 (sqrt.f64 (*.f64 y x)))))
(*.f64 #s(literal 2 binary64) (cbrt.f64 (pow.f64 (fma.f64 y (+.f64 z x) (*.f64 z x)) #s(literal 3/2 binary64))))
(*.f64 #s(literal 2 binary64) (pow.f64 (pow.f64 (fma.f64 y (+.f64 x z) (*.f64 x z)) #s(literal 1/8 binary64)) #s(literal 4 binary64)))
(*.f64 #s(literal 2 binary64) (pow.f64 (pow.f64 (fma.f64 y (+.f64 x z) (*.f64 x z)) #s(literal 1/4 binary64)) #s(literal 2 binary64)))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (fma.f64 x z (/.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) y) (-.f64 x z)))))
(*.f64 #s(literal 2 binary64) (hypot.f64 (sqrt.f64 (*.f64 x z)) (*.f64 x (sqrt.f64 (/.f64 y (-.f64 x z))))))
(*.f64 #s(literal 2 binary64) (*.f64 y (+.f64 (sqrt.f64 (/.f64 z y)) (*.f64 (*.f64 #s(literal 1/2 binary64) x) (sqrt.f64 (/.f64 z (pow.f64 y #s(literal 3 binary64))))))))
(*.f64 #s(literal 2 binary64) (*.f64 y (+.f64 (sqrt.f64 (/.f64 (+.f64 z x) y)) (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 z x) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 y #s(literal 3 binary64)) (+.f64 z x)))))))))
(*.f64 #s(literal 2 binary64) (*.f64 y (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 (-.f64 x z) (pow.f64 y #s(literal 3 binary64)))) z)) (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (-.f64 x z))))))))
(*.f64 #s(literal 2 binary64) (*.f64 z (+.f64 (sqrt.f64 (/.f64 (+.f64 y x) z)) (*.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 z #s(literal 3 binary64)) (+.f64 y x))))))))))
(*.f64 #s(literal 2 binary64) (pow.f64 (cbrt.f64 (sqrt.f64 (fma.f64 y (+.f64 x z) (*.f64 x z)))) #s(literal 3 binary64)))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (fma.f64 x z (/.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y) (-.f64 x z)))))
(*.f64 #s(literal 2 binary64) (pow.f64 (exp.f64 (*.f64 #s(literal 1/4 binary64) (+.f64 (log.f64 (*.f64 #s(literal -1 binary64) (+.f64 x z))) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) y)))))) #s(literal 2 binary64)))
(*.f64 #s(literal 2 binary64) (pow.f64 (exp.f64 (*.f64 #s(literal 1/4 binary64) (+.f64 (log.f64 (+.f64 (*.f64 #s(literal -1 binary64) y) (*.f64 #s(literal -1 binary64) z))) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x)))))) #s(literal 2 binary64)))
(*.f64 #s(literal 2 binary64) (*.f64 y (fma.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 z (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 y #s(literal 3 binary64)) (+.f64 z x)))))) (sqrt.f64 (/.f64 (+.f64 z x) y)))))
(*.f64 #s(literal 2 binary64) (*.f64 y (fma.f64 #s(literal 1/2 binary64) (*.f64 z (sqrt.f64 (/.f64 (-.f64 x z) (pow.f64 y #s(literal 3 binary64))))) (*.f64 x (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) (-.f64 x z)))))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (*.f64 (cbrt.f64 x) y) (*.f64 z (+.f64 x y)))))
(*.f64 #s(literal 2 binary64) (*.f64 (pow.f64 (fma.f64 y (+.f64 x z) (*.f64 x z)) #s(literal 1/8 binary64)) (pow.f64 (pow.f64 (fma.f64 y (+.f64 x z) (*.f64 x z)) #s(literal 1/8 binary64)) #s(literal 3 binary64))))
(*.f64 #s(literal 2 binary64) (*.f64 (fabs.f64 (cbrt.f64 (fma.f64 y x (*.f64 z (+.f64 y x))))) (sqrt.f64 (cbrt.f64 (fma.f64 y x (*.f64 z (+.f64 y x)))))))
(*.f64 #s(literal 2 binary64) (*.f64 (pow.f64 (fma.f64 y (+.f64 x z) (*.f64 x z)) #s(literal 1/8 binary64)) (*.f64 (pow.f64 (fma.f64 y (+.f64 x z) (*.f64 x z)) #s(literal 1/8 binary64)) (pow.f64 (fma.f64 y (+.f64 x z) (*.f64 x z)) #s(literal 1/4 binary64)))))
Outputs
(*.f64 #s(literal 2 binary64) (pow.f64 (exp.f64 (*.f64 #s(literal 1/4 binary64) (+.f64 (log.f64 (+.f64 (*.f64 #s(literal -1 binary64) y) (*.f64 #s(literal -1 binary64) z))) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x)))))) #s(literal 2 binary64)))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (*.f64 x y) (*.f64 z (+.f64 y x)))))
(*.f64 #s(literal 2 binary64) (pow.f64 (exp.f64 (*.f64 #s(literal 1/4 binary64) (+.f64 (log.f64 (+.f64 (*.f64 #s(literal -1 binary64) y) (*.f64 #s(literal -1 binary64) z))) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x)))))) #s(literal 2 binary64)))
(*.f64 #s(literal 2 binary64) (*.f64 (sqrt.f64 (+.f64 y x)) (sqrt.f64 z)))
Calls

6 calls:

125.0ms
x
105.0ms
y
66.0ms
(+.f64 (+.f64 (*.f64 x y) (*.f64 x z)) (*.f64 y z))
65.0ms
(*.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (+.f64 (*.f64 x y) (*.f64 x z)) (*.f64 y z))))
63.0ms
(sqrt.f64 (+.f64 (+.f64 (*.f64 x y) (*.f64 x z)) (*.f64 y z)))
Results
AccuracySegmentsBranch
90.1%3x
96.9%4y
89.0%2z
81.1%3(*.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (+.f64 (*.f64 x y) (*.f64 x z)) (*.f64 y z))))
81.1%3(sqrt.f64 (+.f64 (+.f64 (*.f64 x y) (*.f64 x z)) (*.f64 y z)))
81.1%3(+.f64 (+.f64 (*.f64 x y) (*.f64 x z)) (*.f64 y z))
Compiler

Compiled 58 to 37 computations (36.2% saved)

regimes204.0ms (1.2%)

Counts
50 → 3
Calls
Call 1
Inputs
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 y x)))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 y z)))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 z x)))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 z y)))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 x (+.f64 y z))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 x (+.f64 z y))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 z (+.f64 y x))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 x (+.f64 z (*.f64 y (/.f64 z x))))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 y (+.f64 z (*.f64 x (/.f64 z y))))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (*.f64 x y) (*.f64 z (+.f64 y x)))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 x (+.f64 y (+.f64 z (*.f64 y (/.f64 z x)))))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 z (+.f64 x (+.f64 y (*.f64 x (/.f64 y z)))))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 z (+.f64 (+.f64 x y) (*.f64 x (/.f64 y z))))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (+.f64 (*.f64 x y) (*.f64 x z)) (*.f64 y z))))
(*.f64 #s(literal 2 binary64) (*.f64 (sqrt.f64 y) (sqrt.f64 x)))
(*.f64 #s(literal 2 binary64) (*.f64 (sqrt.f64 z) (sqrt.f64 x)))
(*.f64 #s(literal 2 binary64) (*.f64 (sqrt.f64 z) (sqrt.f64 y)))
(*.f64 #s(literal 2 binary64) (cbrt.f64 (pow.f64 (*.f64 x z) #s(literal 3/2 binary64))))
(*.f64 #s(literal 2 binary64) (cbrt.f64 (pow.f64 (*.f64 y x) #s(literal 3/2 binary64))))
(*.f64 #s(literal 2 binary64) (cbrt.f64 (pow.f64 (*.f64 z y) #s(literal 3/2 binary64))))
(*.f64 #s(literal 2 binary64) (exp.f64 (*.f64 (log.f64 (*.f64 x z)) #s(literal 1/2 binary64))))
(*.f64 #s(literal 2 binary64) (exp.f64 (*.f64 (log.f64 (*.f64 y z)) #s(literal 1/2 binary64))))
(*.f64 #s(literal 2 binary64) (*.f64 (sqrt.f64 (+.f64 y x)) (sqrt.f64 z)))
(*.f64 #s(literal 2 binary64) (pow.f64 (pow.f64 (*.f64 x z) #s(literal 1/4 binary64)) #s(literal 2 binary64)))
(*.f64 #s(literal 2 binary64) (pow.f64 (pow.f64 (*.f64 y x) #s(literal 1/4 binary64)) #s(literal 2 binary64)))
(*.f64 #s(literal 2 binary64) (pow.f64 (pow.f64 (*.f64 z y) #s(literal 1/4 binary64)) #s(literal 2 binary64)))
(*.f64 #s(literal 2 binary64) (cbrt.f64 (pow.f64 (*.f64 z (+.f64 y x)) #s(literal 3/2 binary64))))
(*.f64 #s(literal 2 binary64) (exp.f64 (*.f64 (log.f64 (*.f64 z (+.f64 y x))) #s(literal 1/2 binary64))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (fma.f64 x z (*.f64 y (+.f64 x z)))))
(*.f64 #s(literal 2 binary64) (+.f64 (sqrt.f64 (*.f64 y z)) (*.f64 #s(literal 1/2 binary64) (*.f64 (neg.f64 x) (sqrt.f64 (/.f64 z y))))))
(*.f64 #s(literal 2 binary64) (+.f64 (sqrt.f64 (*.f64 y z)) (*.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 (+.f64 y z) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 y z))))))))
(*.f64 #s(literal 2 binary64) (pow.f64 (cbrt.f64 (sqrt.f64 (*.f64 x z))) #s(literal 3 binary64)))
(*.f64 #s(literal 2 binary64) (pow.f64 (cbrt.f64 (sqrt.f64 (*.f64 y x))) #s(literal 3 binary64)))
(*.f64 #s(literal 2 binary64) (cbrt.f64 (pow.f64 (sqrt.f64 (*.f64 z (+.f64 x y))) #s(literal 3 binary64))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (sqrt.f64 (pow.f64 (*.f64 z (+.f64 x y)) #s(literal 2 binary64)))))
(*.f64 #s(literal 2 binary64) (pow.f64 (cbrt.f64 (sqrt.f64 (*.f64 z (+.f64 y x)))) #s(literal 3 binary64)))
(*.f64 #s(literal 2 binary64) (cbrt.f64 (exp.f64 (*.f64 #s(literal 3/2 binary64) (log.f64 (*.f64 z (+.f64 y x)))))))
(*.f64 #s(literal 2 binary64) (*.f64 (cbrt.f64 (*.f64 y x)) (cbrt.f64 (sqrt.f64 (*.f64 y x)))))
(*.f64 #s(literal 2 binary64) (cbrt.f64 (pow.f64 (fma.f64 y (+.f64 z x) (*.f64 z x)) #s(literal 3/2 binary64))))
(*.f64 #s(literal 2 binary64) (pow.f64 (pow.f64 (fma.f64 y (+.f64 x z) (*.f64 x z)) #s(literal 1/8 binary64)) #s(literal 4 binary64)))
(*.f64 #s(literal 2 binary64) (pow.f64 (pow.f64 (fma.f64 y (+.f64 x z) (*.f64 x z)) #s(literal 1/4 binary64)) #s(literal 2 binary64)))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (fma.f64 x z (/.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) y) (-.f64 x z)))))
(*.f64 #s(literal 2 binary64) (hypot.f64 (sqrt.f64 (*.f64 x z)) (*.f64 x (sqrt.f64 (/.f64 y (-.f64 x z))))))
(*.f64 #s(literal 2 binary64) (*.f64 y (+.f64 (sqrt.f64 (/.f64 z y)) (*.f64 (*.f64 #s(literal 1/2 binary64) x) (sqrt.f64 (/.f64 z (pow.f64 y #s(literal 3 binary64))))))))
(*.f64 #s(literal 2 binary64) (*.f64 y (+.f64 (sqrt.f64 (/.f64 (+.f64 z x) y)) (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 z x) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 y #s(literal 3 binary64)) (+.f64 z x)))))))))
(*.f64 #s(literal 2 binary64) (*.f64 y (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 (-.f64 x z) (pow.f64 y #s(literal 3 binary64)))) z)) (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (-.f64 x z))))))))
(*.f64 #s(literal 2 binary64) (*.f64 z (+.f64 (sqrt.f64 (/.f64 (+.f64 y x) z)) (*.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 z #s(literal 3 binary64)) (+.f64 y x))))))))))
(*.f64 #s(literal 2 binary64) (pow.f64 (cbrt.f64 (sqrt.f64 (fma.f64 y (+.f64 x z) (*.f64 x z)))) #s(literal 3 binary64)))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (fma.f64 x z (/.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y) (-.f64 x z)))))
(*.f64 #s(literal 2 binary64) (pow.f64 (exp.f64 (*.f64 #s(literal 1/4 binary64) (+.f64 (log.f64 (*.f64 #s(literal -1 binary64) (+.f64 x z))) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) y)))))) #s(literal 2 binary64)))
Outputs
(*.f64 #s(literal 2 binary64) (pow.f64 (exp.f64 (*.f64 #s(literal 1/4 binary64) (+.f64 (log.f64 (*.f64 #s(literal -1 binary64) (+.f64 x z))) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) y)))))) #s(literal 2 binary64)))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (*.f64 x y) (*.f64 z (+.f64 y x)))))
(*.f64 #s(literal 2 binary64) (*.f64 (sqrt.f64 (+.f64 y x)) (sqrt.f64 z)))
Calls

1 calls:

198.0ms
y
Results
AccuracySegmentsBranch
95.6%3y
Compiler

Compiled 4 to 3 computations (25% saved)

regimes216.0ms (1.2%)

Counts
49 → 3
Calls
Call 1
Inputs
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 y x)))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 y z)))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 z x)))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 z y)))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 x (+.f64 y z))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 x (+.f64 z y))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 z (+.f64 y x))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 x (+.f64 z (*.f64 y (/.f64 z x))))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 y (+.f64 z (*.f64 x (/.f64 z y))))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (*.f64 x y) (*.f64 z (+.f64 y x)))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 x (+.f64 y (+.f64 z (*.f64 y (/.f64 z x)))))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 z (+.f64 x (+.f64 y (*.f64 x (/.f64 y z)))))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 z (+.f64 (+.f64 x y) (*.f64 x (/.f64 y z))))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (+.f64 (*.f64 x y) (*.f64 x z)) (*.f64 y z))))
(*.f64 #s(literal 2 binary64) (*.f64 (sqrt.f64 y) (sqrt.f64 x)))
(*.f64 #s(literal 2 binary64) (*.f64 (sqrt.f64 z) (sqrt.f64 x)))
(*.f64 #s(literal 2 binary64) (*.f64 (sqrt.f64 z) (sqrt.f64 y)))
(*.f64 #s(literal 2 binary64) (cbrt.f64 (pow.f64 (*.f64 x z) #s(literal 3/2 binary64))))
(*.f64 #s(literal 2 binary64) (cbrt.f64 (pow.f64 (*.f64 y x) #s(literal 3/2 binary64))))
(*.f64 #s(literal 2 binary64) (cbrt.f64 (pow.f64 (*.f64 z y) #s(literal 3/2 binary64))))
(*.f64 #s(literal 2 binary64) (exp.f64 (*.f64 (log.f64 (*.f64 x z)) #s(literal 1/2 binary64))))
(*.f64 #s(literal 2 binary64) (exp.f64 (*.f64 (log.f64 (*.f64 y z)) #s(literal 1/2 binary64))))
(*.f64 #s(literal 2 binary64) (*.f64 (sqrt.f64 (+.f64 y x)) (sqrt.f64 z)))
(*.f64 #s(literal 2 binary64) (pow.f64 (pow.f64 (*.f64 x z) #s(literal 1/4 binary64)) #s(literal 2 binary64)))
(*.f64 #s(literal 2 binary64) (pow.f64 (pow.f64 (*.f64 y x) #s(literal 1/4 binary64)) #s(literal 2 binary64)))
(*.f64 #s(literal 2 binary64) (pow.f64 (pow.f64 (*.f64 z y) #s(literal 1/4 binary64)) #s(literal 2 binary64)))
(*.f64 #s(literal 2 binary64) (cbrt.f64 (pow.f64 (*.f64 z (+.f64 y x)) #s(literal 3/2 binary64))))
(*.f64 #s(literal 2 binary64) (exp.f64 (*.f64 (log.f64 (*.f64 z (+.f64 y x))) #s(literal 1/2 binary64))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (fma.f64 x z (*.f64 y (+.f64 x z)))))
(*.f64 #s(literal 2 binary64) (+.f64 (sqrt.f64 (*.f64 y z)) (*.f64 #s(literal 1/2 binary64) (*.f64 (neg.f64 x) (sqrt.f64 (/.f64 z y))))))
(*.f64 #s(literal 2 binary64) (+.f64 (sqrt.f64 (*.f64 y z)) (*.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 (+.f64 y z) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 y z))))))))
(*.f64 #s(literal 2 binary64) (pow.f64 (cbrt.f64 (sqrt.f64 (*.f64 x z))) #s(literal 3 binary64)))
(*.f64 #s(literal 2 binary64) (pow.f64 (cbrt.f64 (sqrt.f64 (*.f64 y x))) #s(literal 3 binary64)))
(*.f64 #s(literal 2 binary64) (cbrt.f64 (pow.f64 (sqrt.f64 (*.f64 z (+.f64 x y))) #s(literal 3 binary64))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (sqrt.f64 (pow.f64 (*.f64 z (+.f64 x y)) #s(literal 2 binary64)))))
(*.f64 #s(literal 2 binary64) (pow.f64 (cbrt.f64 (sqrt.f64 (*.f64 z (+.f64 y x)))) #s(literal 3 binary64)))
(*.f64 #s(literal 2 binary64) (cbrt.f64 (exp.f64 (*.f64 #s(literal 3/2 binary64) (log.f64 (*.f64 z (+.f64 y x)))))))
(*.f64 #s(literal 2 binary64) (*.f64 (cbrt.f64 (*.f64 y x)) (cbrt.f64 (sqrt.f64 (*.f64 y x)))))
(*.f64 #s(literal 2 binary64) (cbrt.f64 (pow.f64 (fma.f64 y (+.f64 z x) (*.f64 z x)) #s(literal 3/2 binary64))))
(*.f64 #s(literal 2 binary64) (pow.f64 (pow.f64 (fma.f64 y (+.f64 x z) (*.f64 x z)) #s(literal 1/8 binary64)) #s(literal 4 binary64)))
(*.f64 #s(literal 2 binary64) (pow.f64 (pow.f64 (fma.f64 y (+.f64 x z) (*.f64 x z)) #s(literal 1/4 binary64)) #s(literal 2 binary64)))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (fma.f64 x z (/.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) y) (-.f64 x z)))))
(*.f64 #s(literal 2 binary64) (hypot.f64 (sqrt.f64 (*.f64 x z)) (*.f64 x (sqrt.f64 (/.f64 y (-.f64 x z))))))
(*.f64 #s(literal 2 binary64) (*.f64 y (+.f64 (sqrt.f64 (/.f64 z y)) (*.f64 (*.f64 #s(literal 1/2 binary64) x) (sqrt.f64 (/.f64 z (pow.f64 y #s(literal 3 binary64))))))))
(*.f64 #s(literal 2 binary64) (*.f64 y (+.f64 (sqrt.f64 (/.f64 (+.f64 z x) y)) (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 z x) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 y #s(literal 3 binary64)) (+.f64 z x)))))))))
(*.f64 #s(literal 2 binary64) (*.f64 y (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 (-.f64 x z) (pow.f64 y #s(literal 3 binary64)))) z)) (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (-.f64 x z))))))))
(*.f64 #s(literal 2 binary64) (*.f64 z (+.f64 (sqrt.f64 (/.f64 (+.f64 y x) z)) (*.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 z #s(literal 3 binary64)) (+.f64 y x))))))))))
(*.f64 #s(literal 2 binary64) (pow.f64 (cbrt.f64 (sqrt.f64 (fma.f64 y (+.f64 x z) (*.f64 x z)))) #s(literal 3 binary64)))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (fma.f64 x z (/.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y) (-.f64 x z)))))
Outputs
(*.f64 #s(literal 2 binary64) (hypot.f64 (sqrt.f64 (*.f64 x z)) (*.f64 x (sqrt.f64 (/.f64 y (-.f64 x z))))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (*.f64 x y) (*.f64 z (+.f64 y x)))))
(*.f64 #s(literal 2 binary64) (*.f64 (sqrt.f64 (+.f64 y x)) (sqrt.f64 z)))
Calls

3 calls:

75.0ms
x
68.0ms
z
68.0ms
y
Results
AccuracySegmentsBranch
76.5%2x
84.9%3z
85.1%3y
Compiler

Compiled 12 to 9 computations (25% saved)

regimes158.0ms (0.9%)

Counts
42 → 2
Calls
Call 1
Inputs
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 y x)))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 y z)))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 z x)))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 z y)))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 x (+.f64 y z))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 x (+.f64 z y))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 z (+.f64 y x))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 x (+.f64 z (*.f64 y (/.f64 z x))))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 y (+.f64 z (*.f64 x (/.f64 z y))))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (*.f64 x y) (*.f64 z (+.f64 y x)))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 x (+.f64 y (+.f64 z (*.f64 y (/.f64 z x)))))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 z (+.f64 x (+.f64 y (*.f64 x (/.f64 y z)))))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 z (+.f64 (+.f64 x y) (*.f64 x (/.f64 y z))))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (+.f64 (*.f64 x y) (*.f64 x z)) (*.f64 y z))))
(*.f64 #s(literal 2 binary64) (*.f64 (sqrt.f64 y) (sqrt.f64 x)))
(*.f64 #s(literal 2 binary64) (*.f64 (sqrt.f64 z) (sqrt.f64 x)))
(*.f64 #s(literal 2 binary64) (*.f64 (sqrt.f64 z) (sqrt.f64 y)))
(*.f64 #s(literal 2 binary64) (cbrt.f64 (pow.f64 (*.f64 x z) #s(literal 3/2 binary64))))
(*.f64 #s(literal 2 binary64) (cbrt.f64 (pow.f64 (*.f64 y x) #s(literal 3/2 binary64))))
(*.f64 #s(literal 2 binary64) (cbrt.f64 (pow.f64 (*.f64 z y) #s(literal 3/2 binary64))))
(*.f64 #s(literal 2 binary64) (exp.f64 (*.f64 (log.f64 (*.f64 x z)) #s(literal 1/2 binary64))))
(*.f64 #s(literal 2 binary64) (exp.f64 (*.f64 (log.f64 (*.f64 y z)) #s(literal 1/2 binary64))))
(*.f64 #s(literal 2 binary64) (*.f64 (sqrt.f64 (+.f64 y x)) (sqrt.f64 z)))
(*.f64 #s(literal 2 binary64) (pow.f64 (pow.f64 (*.f64 x z) #s(literal 1/4 binary64)) #s(literal 2 binary64)))
(*.f64 #s(literal 2 binary64) (pow.f64 (pow.f64 (*.f64 y x) #s(literal 1/4 binary64)) #s(literal 2 binary64)))
(*.f64 #s(literal 2 binary64) (pow.f64 (pow.f64 (*.f64 z y) #s(literal 1/4 binary64)) #s(literal 2 binary64)))
(*.f64 #s(literal 2 binary64) (cbrt.f64 (pow.f64 (*.f64 z (+.f64 y x)) #s(literal 3/2 binary64))))
(*.f64 #s(literal 2 binary64) (exp.f64 (*.f64 (log.f64 (*.f64 z (+.f64 y x))) #s(literal 1/2 binary64))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (fma.f64 x z (*.f64 y (+.f64 x z)))))
(*.f64 #s(literal 2 binary64) (+.f64 (sqrt.f64 (*.f64 y z)) (*.f64 #s(literal 1/2 binary64) (*.f64 (neg.f64 x) (sqrt.f64 (/.f64 z y))))))
(*.f64 #s(literal 2 binary64) (+.f64 (sqrt.f64 (*.f64 y z)) (*.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 (+.f64 y z) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 y z))))))))
(*.f64 #s(literal 2 binary64) (pow.f64 (cbrt.f64 (sqrt.f64 (*.f64 x z))) #s(literal 3 binary64)))
(*.f64 #s(literal 2 binary64) (pow.f64 (cbrt.f64 (sqrt.f64 (*.f64 y x))) #s(literal 3 binary64)))
(*.f64 #s(literal 2 binary64) (cbrt.f64 (pow.f64 (sqrt.f64 (*.f64 z (+.f64 x y))) #s(literal 3 binary64))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (sqrt.f64 (pow.f64 (*.f64 z (+.f64 x y)) #s(literal 2 binary64)))))
(*.f64 #s(literal 2 binary64) (pow.f64 (cbrt.f64 (sqrt.f64 (*.f64 z (+.f64 y x)))) #s(literal 3 binary64)))
(*.f64 #s(literal 2 binary64) (cbrt.f64 (exp.f64 (*.f64 #s(literal 3/2 binary64) (log.f64 (*.f64 z (+.f64 y x)))))))
(*.f64 #s(literal 2 binary64) (*.f64 (cbrt.f64 (*.f64 y x)) (cbrt.f64 (sqrt.f64 (*.f64 y x)))))
(*.f64 #s(literal 2 binary64) (cbrt.f64 (pow.f64 (fma.f64 y (+.f64 z x) (*.f64 z x)) #s(literal 3/2 binary64))))
(*.f64 #s(literal 2 binary64) (pow.f64 (pow.f64 (fma.f64 y (+.f64 x z) (*.f64 x z)) #s(literal 1/8 binary64)) #s(literal 4 binary64)))
(*.f64 #s(literal 2 binary64) (pow.f64 (pow.f64 (fma.f64 y (+.f64 x z) (*.f64 x z)) #s(literal 1/4 binary64)) #s(literal 2 binary64)))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (fma.f64 x z (/.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) y) (-.f64 x z)))))
Outputs
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 x (+.f64 y (+.f64 z (*.f64 y (/.f64 z x)))))))
(*.f64 #s(literal 2 binary64) (*.f64 (sqrt.f64 (+.f64 y x)) (sqrt.f64 z)))
Calls

2 calls:

111.0ms
y
42.0ms
z
Results
AccuracySegmentsBranch
80.2%2z
82.0%2y
Compiler

Compiled 8 to 6 computations (25% saved)

regimes38.0ms (0.2%)

Counts
22 → 2
Calls
Call 1
Inputs
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 y x)))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 y z)))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 z x)))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 z y)))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 x (+.f64 y z))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 x (+.f64 z y))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 z (+.f64 y x))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 x (+.f64 z (*.f64 y (/.f64 z x))))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 y (+.f64 z (*.f64 x (/.f64 z y))))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (*.f64 x y) (*.f64 z (+.f64 y x)))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 x (+.f64 y (+.f64 z (*.f64 y (/.f64 z x)))))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 z (+.f64 x (+.f64 y (*.f64 x (/.f64 y z)))))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 z (+.f64 (+.f64 x y) (*.f64 x (/.f64 y z))))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (+.f64 (*.f64 x y) (*.f64 x z)) (*.f64 y z))))
(*.f64 #s(literal 2 binary64) (*.f64 (sqrt.f64 y) (sqrt.f64 x)))
(*.f64 #s(literal 2 binary64) (*.f64 (sqrt.f64 z) (sqrt.f64 x)))
(*.f64 #s(literal 2 binary64) (*.f64 (sqrt.f64 z) (sqrt.f64 y)))
(*.f64 #s(literal 2 binary64) (cbrt.f64 (pow.f64 (*.f64 x z) #s(literal 3/2 binary64))))
(*.f64 #s(literal 2 binary64) (cbrt.f64 (pow.f64 (*.f64 y x) #s(literal 3/2 binary64))))
(*.f64 #s(literal 2 binary64) (cbrt.f64 (pow.f64 (*.f64 z y) #s(literal 3/2 binary64))))
(*.f64 #s(literal 2 binary64) (exp.f64 (*.f64 (log.f64 (*.f64 x z)) #s(literal 1/2 binary64))))
(*.f64 #s(literal 2 binary64) (exp.f64 (*.f64 (log.f64 (*.f64 y z)) #s(literal 1/2 binary64))))
Outputs
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 x (+.f64 y (+.f64 z (*.f64 y (/.f64 z x)))))))
(*.f64 #s(literal 2 binary64) (*.f64 (sqrt.f64 z) (sqrt.f64 y)))
Calls

1 calls:

36.0ms
y
Results
AccuracySegmentsBranch
81.0%2y
Compiler

Compiled 4 to 3 computations (25% saved)

regimes122.0ms (0.7%)

Counts
16 → 1
Calls
Call 1
Inputs
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 y x)))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 y z)))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 z x)))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 z y)))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 x (+.f64 y z))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 x (+.f64 z y))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 z (+.f64 y x))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 x (+.f64 z (*.f64 y (/.f64 z x))))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 y (+.f64 z (*.f64 x (/.f64 z y))))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (*.f64 x y) (*.f64 z (+.f64 y x)))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 x (+.f64 y (+.f64 z (*.f64 y (/.f64 z x)))))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 z (+.f64 x (+.f64 y (*.f64 x (/.f64 y z)))))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 z (+.f64 (+.f64 x y) (*.f64 x (/.f64 y z))))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (+.f64 (*.f64 x y) (*.f64 x z)) (*.f64 y z))))
(*.f64 #s(literal 2 binary64) (*.f64 (sqrt.f64 y) (sqrt.f64 x)))
(*.f64 #s(literal 2 binary64) (*.f64 (sqrt.f64 z) (sqrt.f64 x)))
Outputs
(*.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (*.f64 x y) (*.f64 z (+.f64 y x)))))
Calls

6 calls:

75.0ms
x
11.0ms
y
9.0ms
(sqrt.f64 (+.f64 (+.f64 (*.f64 x y) (*.f64 x z)) (*.f64 y z)))
9.0ms
(+.f64 (+.f64 (*.f64 x y) (*.f64 x z)) (*.f64 y z))
9.0ms
z
Results
AccuracySegmentsBranch
63.3%1x
63.3%1(*.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (+.f64 (*.f64 x y) (*.f64 x z)) (*.f64 y z))))
63.3%1(sqrt.f64 (+.f64 (+.f64 (*.f64 x y) (*.f64 x z)) (*.f64 y z)))
63.3%1(+.f64 (+.f64 (*.f64 x y) (*.f64 x z)) (*.f64 y z))
63.3%1z
63.3%1y
Compiler

Compiled 58 to 37 computations (36.2% saved)

regimes49.0ms (0.3%)

Counts
9 → 2
Calls
Call 1
Inputs
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 y x)))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 y z)))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 z x)))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 z y)))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 x (+.f64 y z))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 x (+.f64 z y))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 z (+.f64 y x))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 x (+.f64 z (*.f64 y (/.f64 z x))))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 y (+.f64 z (*.f64 x (/.f64 z y))))))
Outputs
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 x (+.f64 y z))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 z (+.f64 y x))))
Calls

3 calls:

18.0ms
x
17.0ms
z
12.0ms
y
Results
AccuracySegmentsBranch
60.0%2x
63.4%2y
60.5%2z
Compiler

Compiled 12 to 9 computations (25% saved)

regimes11.0ms (0.1%)

Counts
6 → 2
Calls
Call 1
Inputs
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 y x)))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 y z)))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 z x)))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 z y)))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 x (+.f64 y z))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 x (+.f64 z y))))
Outputs
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 x (+.f64 y z))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 y z)))
Calls

1 calls:

10.0ms
y
Results
AccuracySegmentsBranch
62.8%2y
Compiler

Compiled 4 to 3 computations (25% saved)

regimes8.0ms (0%)

Counts
4 → 2
Calls
Call 1
Inputs
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 y x)))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 y z)))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 z x)))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 z y)))
Outputs
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 y x)))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 y z)))
Calls

1 calls:

7.0ms
y
Results
AccuracySegmentsBranch
62.3%2y
Compiler

Compiled 4 to 3 computations (25% saved)

regimes9.0ms (0.1%)

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts
1 → 1
Calls
Call 1
Inputs
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 y x)))
Outputs
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 y x)))
Calls

3 calls:

4.0ms
y
3.0ms
z
3.0ms
x
Results
AccuracySegmentsBranch
36.3%1x
36.3%1z
36.3%1y
Compiler

Compiled 12 to 9 computations (25% saved)

bsearch148.0ms (0.8%)

Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
narrow-enough
Steps
TimeLeftRight
65.0ms
-3.761257291392883e-242
1.1931536401227123e-294
45.0ms
-2.0286170480801386e-184
-4.800589733832072e-191
37.0ms
-3.524244256384655e+35
-2.967304596803192e+32
Results
75.0ms479×256valid
55.0ms425×256invalid
0.0ms256valid
Compiler

Compiled 1244 to 1023 computations (17.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 50.0ms
Operation ival-mult, time spent: 31.0ms, 63.0% of total-time
Operation ival-add, time spent: 10.0ms, 20.0% of total-time
Operation ival-sqrt, time spent: 7.0ms, 14.0% of total-time
Operation const, time spent: 1.0ms, 2.0% of total-time

bsearch100.0ms (0.6%)

Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
66.0ms
-3.761257291392883e-242
1.1931536401227123e-294
33.0ms
-3.524244256384655e+35
-2.967304596803192e+32
Results
51.0ms335×256valid
37.0ms332×256invalid
0.0ms256valid
Compiler

Compiled 720 to 545 computations (24.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 35.0ms
Operation ival-mult, time spent: 18.0ms, 51.0% of total-time
Operation ival-add, time spent: 11.0ms, 31.0% of total-time
Operation ival-sqrt, time spent: 5.0ms, 14.0% of total-time
Operation const, time spent: 1.0ms, 3.0% of total-time

bsearch103.0ms (0.6%)

Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
68.0ms
-3.761257291392883e-242
1.1931536401227123e-294
35.0ms
-9.346682902878575e+74
-1.0615308666547204e+74
Results
50.0ms321×256invalid
42.0ms303×256valid
0.0ms256valid
Compiler

Compiled 610 to 433 computations (29% saved)

Precisions
Click to see histograms. Total time spent on operations: 31.0ms
Operation ival-mult, time spent: 19.0ms, 62.0% of total-time
Operation ival-add, time spent: 7.0ms, 23.0% of total-time
Operation ival-sqrt, time spent: 5.0ms, 16.0% of total-time
Operation const, time spent: 1.0ms, 3.0% of total-time

bsearch164.0ms (0.9%)

Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
163.0ms
-3.761257291392883e-242
1.1931536401227123e-294
Results
129.0ms289×256invalid
27.0ms207×256valid
0.0ms256valid
Compiler

Compiled 426 to 302 computations (29.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 122.0ms
Operation ival-mult, time spent: 112.0ms, 92.0% of total-time
Operation ival-add, time spent: 5.0ms, 4.0% of total-time
Operation ival-sqrt, time spent: 4.0ms, 3.0% of total-time
Operation const, time spent: 1.0ms, 1.0% of total-time

bsearch136.0ms (0.8%)

Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
135.0ms
-3.761257291392883e-242
1.1931536401227123e-294
Results
28.0ms241×256invalid
99.0ms207×256valid
0.0ms256valid
Compiler

Compiled 400 to 289 computations (27.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 23.0ms
Operation ival-mult, time spent: 14.0ms, 61.0% of total-time
Operation ival-add, time spent: 5.0ms, 22.0% of total-time
Operation ival-sqrt, time spent: 3.0ms, 13.0% of total-time
Operation const, time spent: 1.0ms, 4.0% of total-time

bsearch11.0ms (0.1%)

Algorithm
binary-search
Stop Event
predicate-same
Steps
TimeLeftRight
11.0ms
-3.761257291392883e-242
1.1931536401227123e-294
Results
4.0ms37×256invalid
5.0ms31×256valid
0.0ms256valid
Compiler

Compiled 71 to 52 computations (26.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 3.0ms
Operation ival-mult, time spent: 2.0ms, 60.0% of total-time
Operation ival-add, time spent: 1.0ms, 30.0% of total-time
Operation ival-sqrt, time spent: 1.0ms, 30.0% of total-time
Operation const, time spent: 0.0ms, 0.0% of total-time

bsearch77.0ms (0.4%)

Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
77.0ms
-3.761257291392883e-242
1.1931536401227123e-294
Results
39.0ms315×256invalid
28.0ms207×256valid
0.0ms256valid
Compiler

Compiled 309 to 237 computations (23.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 31.0ms
Operation ival-mult, time spent: 19.0ms, 62.0% of total-time
Operation ival-add, time spent: 6.0ms, 20.0% of total-time
Operation ival-sqrt, time spent: 5.0ms, 16.0% of total-time
Operation const, time spent: 1.0ms, 3.0% of total-time

bsearch68.0ms (0.4%)

Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
68.0ms
-3.761257291392883e-242
1.1931536401227123e-294
Results
30.0ms262×256invalid
29.0ms207×256valid
0.0ms256valid
Compiler

Compiled 283 to 224 computations (20.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 24.0ms
Operation ival-mult, time spent: 13.0ms, 53.0% of total-time
Operation ival-add, time spent: 8.0ms, 33.0% of total-time
Operation ival-sqrt, time spent: 3.0ms, 12.0% of total-time
Operation const, time spent: 1.0ms, 4.0% of total-time

simplify28.0ms (0.2%)

Algorithm
egg-herbie
Rules
60×*-commutative
34×+-commutative
16×sub-neg
14×neg-sub0
12×unsub-neg
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01081090
11521070
21671070
31781070
41871070
51891070
Stop Event
fuel
saturated
Calls
Call 1
Inputs
(if (<=.f64 y #s(literal -11000000000000001130709797767741440 binary64)) (*.f64 #s(literal 2 binary64) (pow.f64 (exp.f64 (*.f64 #s(literal 1/4 binary64) (+.f64 (log.f64 (+.f64 (*.f64 #s(literal -1 binary64) y) (*.f64 #s(literal -1 binary64) z))) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x)))))) #s(literal 2 binary64))) (if (<=.f64 y #s(literal -3932901903928685/80263304161809898486953580976564463280492245526476651908848280381297792881730359224146523075524726123458602430056430323990164676669064390001339947061948865508349970567755807467524166227482951618519489314816 binary64)) (*.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (*.f64 x y) (*.f64 z (+.f64 y x))))) (if (<=.f64 y #s(literal -5755173183129365/2615987810513347951534240842431645045315929716077962908798218721607302370910488580305660104530507466131822931927619987366179553920147251083004047259447894239241837835650447017925067042251555454560047407752208612056538559879736027236124400377460220438127733515060190958901472126868316500692677165056 binary64)) (*.f64 #s(literal 2 binary64) (pow.f64 (exp.f64 (*.f64 #s(literal 1/4 binary64) (+.f64 (log.f64 (+.f64 (*.f64 #s(literal -1 binary64) y) (*.f64 #s(literal -1 binary64) z))) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x)))))) #s(literal 2 binary64))) (*.f64 #s(literal 2 binary64) (*.f64 (sqrt.f64 (+.f64 y x)) (sqrt.f64 z))))))
(if (<=.f64 y #s(literal -2049999999999999974898336368951296 binary64)) (*.f64 #s(literal 2 binary64) (pow.f64 (exp.f64 (*.f64 #s(literal 1/4 binary64) (+.f64 (log.f64 (*.f64 #s(literal -1 binary64) (+.f64 x z))) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) y)))))) #s(literal 2 binary64))) (if (<=.f64 y #s(literal 6788089277240105/5752618031559410904733776610524879147577526332615381032749762597047445625776030820246671274317041152675843644155884587445081272602061331919771117780463171980088572589595695528841671027239875011822498654466720184602820821834958812207165219537306471589227216341906761543678311870031350921754731402547975172390912 binary64)) (*.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (*.f64 x y) (*.f64 z (+.f64 y x))))) (*.f64 #s(literal 2 binary64) (*.f64 (sqrt.f64 (+.f64 y x)) (sqrt.f64 z)))))
(if (<=.f64 y #s(literal -899999999999999994145979718545214363981501356473118693118994044657057398784 binary64)) (*.f64 #s(literal 2 binary64) (hypot.f64 (sqrt.f64 (*.f64 x z)) (*.f64 x (sqrt.f64 (/.f64 y (-.f64 x z)))))) (if (<=.f64 y #s(literal 6788089277240105/5752618031559410904733776610524879147577526332615381032749762597047445625776030820246671274317041152675843644155884587445081272602061331919771117780463171980088572589595695528841671027239875011822498654466720184602820821834958812207165219537306471589227216341906761543678311870031350921754731402547975172390912 binary64)) (*.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (*.f64 x y) (*.f64 z (+.f64 y x))))) (*.f64 #s(literal 2 binary64) (*.f64 (sqrt.f64 (+.f64 y x)) (sqrt.f64 z)))))
(if (<=.f64 y #s(literal 3184926204271913/96512915280967053581473992690523770832804036027976092508745841039385957511899636693935577250212251899331606800230413394637016647999665010865694713564271216355093681467326336557610944624945266886348613585697529348641399137222620343503047635864810732050328281646899590278784472758879901186078227762530329829839567060992 binary64)) (*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 x (+.f64 y (+.f64 z (*.f64 y (/.f64 z x))))))) (*.f64 #s(literal 2 binary64) (*.f64 (sqrt.f64 (+.f64 y x)) (sqrt.f64 z))))
(if (<=.f64 y #s(literal 6788089277240105/5752618031559410904733776610524879147577526332615381032749762597047445625776030820246671274317041152675843644155884587445081272602061331919771117780463171980088572589595695528841671027239875011822498654466720184602820821834958812207165219537306471589227216341906761543678311870031350921754731402547975172390912 binary64)) (*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 x (+.f64 y (+.f64 z (*.f64 y (/.f64 z x))))))) (*.f64 #s(literal 2 binary64) (*.f64 (sqrt.f64 z) (sqrt.f64 y))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (*.f64 x y) (*.f64 z (+.f64 y x)))))
(if (<=.f64 y #s(literal -653996952628337/326998476314168493941780105303955630664491214509745363599777340200912796363811072538207513066313433266477866490952498420772444240018406385375505907430986779905229729456305877240633380281444431820005925969026076507067319984967003404515550047182527554765966689382523869862684015858539562586584645632 binary64)) (*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 x (+.f64 y z)))) (*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 z (+.f64 y x)))))
(if (<=.f64 y #s(literal 6788089277240105/5752618031559410904733776610524879147577526332615381032749762597047445625776030820246671274317041152675843644155884587445081272602061331919771117780463171980088572589595695528841671027239875011822498654466720184602820821834958812207165219537306471589227216341906761543678311870031350921754731402547975172390912 binary64)) (*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 x (+.f64 y z)))) (*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 y z))))
(if (<=.f64 y #s(literal -20240225330731/101201126653655309176247673359458653524778324882071059178450679013715169783997673445980191850718562247593538932158405955694904368692896738433506699970369254960758712138283180682233453871046608170619883839236372534281003741712346349309051677824579778170405028256179384776166707307615251266093163754323003131653853870546747392 binary64)) (*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 y x))) (*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 y z))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 y x)))
Outputs
(if (<=.f64 y #s(literal -11000000000000001130709797767741440 binary64)) (*.f64 #s(literal 2 binary64) (pow.f64 (exp.f64 (*.f64 #s(literal 1/4 binary64) (+.f64 (log.f64 (+.f64 (*.f64 #s(literal -1 binary64) y) (*.f64 #s(literal -1 binary64) z))) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x)))))) #s(literal 2 binary64))) (if (<=.f64 y #s(literal -3932901903928685/80263304161809898486953580976564463280492245526476651908848280381297792881730359224146523075524726123458602430056430323990164676669064390001339947061948865508349970567755807467524166227482951618519489314816 binary64)) (*.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (*.f64 x y) (*.f64 z (+.f64 y x))))) (if (<=.f64 y #s(literal -5755173183129365/2615987810513347951534240842431645045315929716077962908798218721607302370910488580305660104530507466131822931927619987366179553920147251083004047259447894239241837835650447017925067042251555454560047407752208612056538559879736027236124400377460220438127733515060190958901472126868316500692677165056 binary64)) (*.f64 #s(literal 2 binary64) (pow.f64 (exp.f64 (*.f64 #s(literal 1/4 binary64) (+.f64 (log.f64 (+.f64 (*.f64 #s(literal -1 binary64) y) (*.f64 #s(literal -1 binary64) z))) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x)))))) #s(literal 2 binary64))) (*.f64 #s(literal 2 binary64) (*.f64 (sqrt.f64 (+.f64 y x)) (sqrt.f64 z))))))
(if (<=.f64 y #s(literal -11000000000000001130709797767741440 binary64)) (*.f64 #s(literal 2 binary64) (pow.f64 (exp.f64 (*.f64 #s(literal 1/4 binary64) (+.f64 (log.f64 (+.f64 (neg.f64 y) (neg.f64 z))) (neg.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)))))) #s(literal 2 binary64))) (if (<=.f64 y #s(literal -3932901903928685/80263304161809898486953580976564463280492245526476651908848280381297792881730359224146523075524726123458602430056430323990164676669064390001339947061948865508349970567755807467524166227482951618519489314816 binary64)) (*.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (*.f64 y x) (*.f64 z (+.f64 y x))))) (if (<=.f64 y #s(literal -5755173183129365/2615987810513347951534240842431645045315929716077962908798218721607302370910488580305660104530507466131822931927619987366179553920147251083004047259447894239241837835650447017925067042251555454560047407752208612056538559879736027236124400377460220438127733515060190958901472126868316500692677165056 binary64)) (*.f64 #s(literal 2 binary64) (pow.f64 (exp.f64 (*.f64 #s(literal 1/4 binary64) (+.f64 (log.f64 (+.f64 (neg.f64 y) (neg.f64 z))) (neg.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)))))) #s(literal 2 binary64))) (*.f64 #s(literal 2 binary64) (*.f64 (sqrt.f64 (+.f64 y x)) (sqrt.f64 z))))))
(if (<=.f64 y #s(literal -11000000000000001130709797767741440 binary64)) (*.f64 #s(literal 2 binary64) (pow.f64 (exp.f64 (*.f64 #s(literal 1/4 binary64) (-.f64 (log.f64 (-.f64 (neg.f64 y) z)) (log.f64 (/.f64 #s(literal -1 binary64) x))))) #s(literal 2 binary64))) (if (<=.f64 y #s(literal -3932901903928685/80263304161809898486953580976564463280492245526476651908848280381297792881730359224146523075524726123458602430056430323990164676669064390001339947061948865508349970567755807467524166227482951618519489314816 binary64)) (*.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (*.f64 y x) (*.f64 z (+.f64 y x))))) (if (<=.f64 y #s(literal -5755173183129365/2615987810513347951534240842431645045315929716077962908798218721607302370910488580305660104530507466131822931927619987366179553920147251083004047259447894239241837835650447017925067042251555454560047407752208612056538559879736027236124400377460220438127733515060190958901472126868316500692677165056 binary64)) (*.f64 #s(literal 2 binary64) (pow.f64 (exp.f64 (*.f64 #s(literal 1/4 binary64) (-.f64 (log.f64 (-.f64 (neg.f64 y) z)) (log.f64 (/.f64 #s(literal -1 binary64) x))))) #s(literal 2 binary64))) (*.f64 #s(literal 2 binary64) (*.f64 (sqrt.f64 (+.f64 y x)) (sqrt.f64 z))))))
(if (<=.f64 y #s(literal -2049999999999999974898336368951296 binary64)) (*.f64 #s(literal 2 binary64) (pow.f64 (exp.f64 (*.f64 #s(literal 1/4 binary64) (+.f64 (log.f64 (*.f64 #s(literal -1 binary64) (+.f64 x z))) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) y)))))) #s(literal 2 binary64))) (if (<=.f64 y #s(literal 6788089277240105/5752618031559410904733776610524879147577526332615381032749762597047445625776030820246671274317041152675843644155884587445081272602061331919771117780463171980088572589595695528841671027239875011822498654466720184602820821834958812207165219537306471589227216341906761543678311870031350921754731402547975172390912 binary64)) (*.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (*.f64 x y) (*.f64 z (+.f64 y x))))) (*.f64 #s(literal 2 binary64) (*.f64 (sqrt.f64 (+.f64 y x)) (sqrt.f64 z)))))
(if (<=.f64 y #s(literal -2049999999999999974898336368951296 binary64)) (*.f64 #s(literal 2 binary64) (pow.f64 (exp.f64 (*.f64 #s(literal 1/4 binary64) (+.f64 (log.f64 (neg.f64 (+.f64 z x))) (neg.f64 (log.f64 (/.f64 #s(literal -1 binary64) y)))))) #s(literal 2 binary64))) (if (<=.f64 y #s(literal 6788089277240105/5752618031559410904733776610524879147577526332615381032749762597047445625776030820246671274317041152675843644155884587445081272602061331919771117780463171980088572589595695528841671027239875011822498654466720184602820821834958812207165219537306471589227216341906761543678311870031350921754731402547975172390912 binary64)) (*.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (*.f64 y x) (*.f64 z (+.f64 y x))))) (*.f64 #s(literal 2 binary64) (*.f64 (sqrt.f64 (+.f64 y x)) (sqrt.f64 z)))))
(if (<=.f64 y #s(literal -2049999999999999974898336368951296 binary64)) (*.f64 #s(literal 2 binary64) (pow.f64 (exp.f64 (*.f64 #s(literal 1/4 binary64) (-.f64 (log.f64 (neg.f64 (+.f64 z x))) (log.f64 (/.f64 #s(literal -1 binary64) y))))) #s(literal 2 binary64))) (if (<=.f64 y #s(literal 6788089277240105/5752618031559410904733776610524879147577526332615381032749762597047445625776030820246671274317041152675843644155884587445081272602061331919771117780463171980088572589595695528841671027239875011822498654466720184602820821834958812207165219537306471589227216341906761543678311870031350921754731402547975172390912 binary64)) (*.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (*.f64 y x) (*.f64 z (+.f64 y x))))) (*.f64 #s(literal 2 binary64) (*.f64 (sqrt.f64 (+.f64 y x)) (sqrt.f64 z)))))
(if (<=.f64 y #s(literal -2049999999999999974898336368951296 binary64)) (*.f64 #s(literal 2 binary64) (pow.f64 (exp.f64 (*.f64 #s(literal 1/4 binary64) (-.f64 (log.f64 (-.f64 (neg.f64 z) x)) (log.f64 (/.f64 #s(literal -1 binary64) y))))) #s(literal 2 binary64))) (if (<=.f64 y #s(literal 6788089277240105/5752618031559410904733776610524879147577526332615381032749762597047445625776030820246671274317041152675843644155884587445081272602061331919771117780463171980088572589595695528841671027239875011822498654466720184602820821834958812207165219537306471589227216341906761543678311870031350921754731402547975172390912 binary64)) (*.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (*.f64 y x) (*.f64 z (+.f64 y x))))) (*.f64 #s(literal 2 binary64) (*.f64 (sqrt.f64 (+.f64 y x)) (sqrt.f64 z)))))
(if (<=.f64 y #s(literal -899999999999999994145979718545214363981501356473118693118994044657057398784 binary64)) (*.f64 #s(literal 2 binary64) (hypot.f64 (sqrt.f64 (*.f64 x z)) (*.f64 x (sqrt.f64 (/.f64 y (-.f64 x z)))))) (if (<=.f64 y #s(literal 6788089277240105/5752618031559410904733776610524879147577526332615381032749762597047445625776030820246671274317041152675843644155884587445081272602061331919771117780463171980088572589595695528841671027239875011822498654466720184602820821834958812207165219537306471589227216341906761543678311870031350921754731402547975172390912 binary64)) (*.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (*.f64 x y) (*.f64 z (+.f64 y x))))) (*.f64 #s(literal 2 binary64) (*.f64 (sqrt.f64 (+.f64 y x)) (sqrt.f64 z)))))
(if (<=.f64 y #s(literal -899999999999999994145979718545214363981501356473118693118994044657057398784 binary64)) (*.f64 #s(literal 2 binary64) (hypot.f64 (sqrt.f64 (*.f64 z x)) (*.f64 x (sqrt.f64 (/.f64 y (-.f64 x z)))))) (if (<=.f64 y #s(literal 6788089277240105/5752618031559410904733776610524879147577526332615381032749762597047445625776030820246671274317041152675843644155884587445081272602061331919771117780463171980088572589595695528841671027239875011822498654466720184602820821834958812207165219537306471589227216341906761543678311870031350921754731402547975172390912 binary64)) (*.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (*.f64 y x) (*.f64 z (+.f64 y x))))) (*.f64 #s(literal 2 binary64) (*.f64 (sqrt.f64 (+.f64 y x)) (sqrt.f64 z)))))
(if (<=.f64 y #s(literal 3184926204271913/96512915280967053581473992690523770832804036027976092508745841039385957511899636693935577250212251899331606800230413394637016647999665010865694713564271216355093681467326336557610944624945266886348613585697529348641399137222620343503047635864810732050328281646899590278784472758879901186078227762530329829839567060992 binary64)) (*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 x (+.f64 y (+.f64 z (*.f64 y (/.f64 z x))))))) (*.f64 #s(literal 2 binary64) (*.f64 (sqrt.f64 (+.f64 y x)) (sqrt.f64 z))))
(if (<=.f64 y #s(literal 6788089277240105/5752618031559410904733776610524879147577526332615381032749762597047445625776030820246671274317041152675843644155884587445081272602061331919771117780463171980088572589595695528841671027239875011822498654466720184602820821834958812207165219537306471589227216341906761543678311870031350921754731402547975172390912 binary64)) (*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 x (+.f64 y (+.f64 z (*.f64 y (/.f64 z x))))))) (*.f64 #s(literal 2 binary64) (*.f64 (sqrt.f64 z) (sqrt.f64 y))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (*.f64 x y) (*.f64 z (+.f64 y x)))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (*.f64 y x) (*.f64 z (+.f64 y x)))))
(if (<=.f64 y #s(literal -653996952628337/326998476314168493941780105303955630664491214509745363599777340200912796363811072538207513066313433266477866490952498420772444240018406385375505907430986779905229729456305877240633380281444431820005925969026076507067319984967003404515550047182527554765966689382523869862684015858539562586584645632 binary64)) (*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 x (+.f64 y z)))) (*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 z (+.f64 y x)))))
(if (<=.f64 y #s(literal 6788089277240105/5752618031559410904733776610524879147577526332615381032749762597047445625776030820246671274317041152675843644155884587445081272602061331919771117780463171980088572589595695528841671027239875011822498654466720184602820821834958812207165219537306471589227216341906761543678311870031350921754731402547975172390912 binary64)) (*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 x (+.f64 y z)))) (*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 y z))))
(if (<=.f64 y #s(literal -20240225330731/101201126653655309176247673359458653524778324882071059178450679013715169783997673445980191850718562247593538932158405955694904368692896738433506699970369254960758712138283180682233453871046608170619883839236372534281003741712346349309051677824579778170405028256179384776166707307615251266093163754323003131653853870546747392 binary64)) (*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 y x))) (*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 y z))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 y x)))
Compiler

Compiled 311 to 215 computations (30.9% saved)

soundness1.7s (9.7%)

Rules
1746×fma-define
1686×fma-neg
1670×associate-*r*
1506×*-commutative
1388×fma-define
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
090729882
1247828902
2718828902
020196
1284196
24186196
057590
1156534
2328530
3624530
41291530
51969530
62919530
73283530
83342530
93348530
103348530
017714295023269
154684295020209
037405
1604339
27611339
039410
1598345
27356345
Stop Event
node limit
node limit
node limit
saturated
node limit
node limit
Compiler

Compiled 1030 to 466 computations (54.8% saved)

end0.0ms (0%)

preprocess415.0ms (2.4%)

Compiler

Compiled 1158 to 702 computations (39.4% saved)

Profiling

Loading profile data...