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

Time bar (total: 14.0s)

analyze465.0ms (3.3%)

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: 227.0ms
ival-add: 143.0ms (63% of total)
ival-mult: 60.0ms (26.4% of total)
ival-sqrt: 22.0ms (9.7% of total)
const: 3.0ms (1.3% of total)

sample2.6s (18.7%)

Results
1.5s8256×0valid
493.0ms4509×0invalid
Precisions
Click to see histograms. Total time spent on operations: 1.1s
ival-mult: 584.0ms (55.4% of total)
ival-sqrt: 235.0ms (22.3% of total)
ival-add: 212.0ms (20.1% of total)
const: 19.0ms (1.8% of total)
backward-pass: 6.0ms (0.6% of total)
Bogosity

preprocess160.0ms (1.1%)

Algorithm
egg-herbie
Rules
843×fma-neg
694×fma-define
234×cancel-sign-sub-inv
147×sub-neg
102×associate-+l-
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 (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 (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 x (+.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 x z) (*.f64 y (+.f64 x z)))))
(*.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 (fma.f64 z (-.f64 (neg.f64 x) y) (*.f64 x 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 (sqrt.f64 (-.f64 (*.f64 y z) (*.f64 x (+.f64 y 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 (sqrt.f64 (-.f64 (*.f64 x z) (*.f64 y (+.f64 x z)))) #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 (sqrt.f64 (fma.f64 z (-.f64 (neg.f64 x) y) (*.f64 x 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 (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 (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 (fma.f64 x z (*.f64 y (+.f64 x z)))))
Symmetry

(sort x y z)

explain169.0ms (1.2%)

FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
850-0-(sqrt.f64 (+.f64 (+.f64 (*.f64 x y) (*.f64 x z)) (*.f64 y z)))
20-0-(+.f64 (+.f64 (*.f64 x y) (*.f64 x z)) (*.f64 y z))
20-0-(+.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
Results
80.0ms512×256valid
Compiler

Compiled 139 to 37 computations (73.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 31.0ms
ival-mult: 17.0ms (54% of total)
ival-add: 7.0ms (22.2% of total)
ival-sqrt: 6.0ms (19.1% of total)
const: 1.0ms (3.2% of total)

eval0.0ms (0%)

Compiler

Compiled 14 to 9 computations (35.7% saved)

prune1.0ms (0%)

Alt Table
Click to see full alt table
StatusAccuracyProgram
68.6%
(*.f64 #s(literal 2 binary64) (sqrt.f64 (fma.f64 x z (*.f64 y (+.f64 x z)))))
68.5%
(*.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (+.f64 (*.f64 x y) (*.f64 x z)) (*.f64 y z))))
Compiler

Compiled 31 to 20 computations (35.5% saved)

localize120.0ms (0.9%)

Localize:

Found 5 expressions with local error:

NewAccuracyProgram
100.0%
(fma.f64 x z (*.f64 y (+.f64 x z)))
68.6%
(sqrt.f64 (fma.f64 x z (*.f64 y (+.f64 x z))))
99.4%
(+.f64 (+.f64 (*.f64 x y) (*.f64 x z)) (*.f64 y z))
99.4%
(+.f64 (*.f64 x y) (*.f64 x z))
68.6%
(sqrt.f64 (+.f64 (+.f64 (*.f64 x y) (*.f64 x z)) (*.f64 y z)))
Results
55.0ms256×256valid
Compiler

Compiled 101 to 20 computations (80.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 27.0ms
ival-mult: 12.0ms (44.1% of total)
ival-add: 7.0ms (25.7% of total)
ival-sqrt: 4.0ms (14.7% of total)
composed: 3.0ms (11% of total)
const: 1.0ms (3.7% of total)

series82.0ms (0.6%)

Counts
5 → 174
Calls
Call 1
Inputs
#<alt (sqrt.f64 (+.f64 (+.f64 (*.f64 x y) (*.f64 x z)) (*.f64 y z)))>
#<alt (+.f64 (*.f64 x y) (*.f64 x z))>
#<alt (+.f64 (+.f64 (*.f64 x y) (*.f64 x z)) (*.f64 y z))>
#<alt (sqrt.f64 (fma.f64 x z (*.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)))))))))>
#<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 (*.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))))))))))>
#<alt (*.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))))>
#<alt (*.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))))))>
#<alt (*.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)))))))>
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#<alt (sqrt.f64 (*.f64 x y))>
#<alt (+.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)))))>
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#<alt (sqrt.f64 (*.f64 z (+.f64 x y)))>
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#<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)))))>
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#<alt (sqrt.f64 (*.f64 y (+.f64 x z)))>
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#<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)))))))))>
#<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 (*.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))))))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 (*.f64 y (+.f64 x z))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.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 (sqrt.f64 (/.f64 (+.f64 x z) y)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (/.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #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 1/2 binary64) (*.f64 (*.f64 x z) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 y #s(literal 3 binary64)) (+.f64 x z)))))) (*.f64 (sqrt.f64 (/.f64 (+.f64 x z) y)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))))>
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#<alt (*.f64 y z)>
#<alt (+.f64 (*.f64 x (+.f64 y z)) (*.f64 y z))>
#<alt (+.f64 (*.f64 x (+.f64 y z)) (*.f64 y z))>
#<alt (+.f64 (*.f64 x (+.f64 y z)) (*.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)>
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#<alt (+.f64 (*.f64 x y) (*.f64 z (+.f64 x y)))>
#<alt (+.f64 (*.f64 x y) (*.f64 z (+.f64 x 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))))>
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#<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 x z)))>
#<alt (+.f64 (*.f64 x z) (*.f64 y (+.f64 x z)))>
#<alt (+.f64 (*.f64 x z) (*.f64 y (+.f64 x z)))>
#<alt (*.f64 y (+.f64 x z))>
#<alt (*.f64 y (+.f64 x (+.f64 z (/.f64 (*.f64 x z) y))))>
#<alt (*.f64 y (+.f64 x (+.f64 z (/.f64 (*.f64 x z) y))))>
#<alt (*.f64 y (+.f64 x (+.f64 z (/.f64 (*.f64 x z) y))))>
#<alt (*.f64 y (+.f64 x z))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (+.f64 x z)) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) y)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (+.f64 x z)) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) y)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (+.f64 x z)) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) y)))))>
Calls

45 calls:

TimeVariablePointExpression
33.0ms
z
@inf
(sqrt (+ (* x z) (* y (+ x z))))
14.0ms
y
@0
(sqrt (+ (+ (* x y) (* x z)) (* y z)))
2.0ms
x
@-inf
(sqrt (+ (+ (* x y) (* x z)) (* y z)))
2.0ms
y
@-inf
(sqrt (+ (+ (* x y) (* x z)) (* y z)))
2.0ms
z
@-inf
(sqrt (+ (+ (* x y) (* x z)) (* y z)))

rewrite397.0ms (2.8%)

Algorithm
batch-egg-rewrite
Rules
910×log1p-expm1-u
910×expm1-log1p-u
512×fma-neg
135×add-cube-cbrt
134×add-exp-log
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
021190
1303174
24368174
Stop Event
node limit
Counts
5 → 231
Calls
Call 1
Inputs
(sqrt.f64 (+.f64 (+.f64 (*.f64 x y) (*.f64 x z)) (*.f64 y z)))
(+.f64 (*.f64 x y) (*.f64 x z))
(+.f64 (+.f64 (*.f64 x y) (*.f64 x z)) (*.f64 y z))
(sqrt.f64 (fma.f64 x z (*.f64 y (+.f64 x z))))
(fma.f64 x z (*.f64 y (+.f64 x z)))
Outputs
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (+.f64 (*.f64 x y) (*.f64 z (+.f64 x y))) #s(literal 1/2 binary64)))) #s(literal 1 binary64))
(*.f64 (pow.f64 (+.f64 (*.f64 x y) (*.f64 z (+.f64 x y))) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (pow.f64 (+.f64 (*.f64 x y) (*.f64 z (+.f64 x y))) #s(literal 1/2 binary64)))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 (*.f64 x y) (*.f64 z (+.f64 x y))) #s(literal 1/2 binary64))) (cbrt.f64 (+.f64 (*.f64 x y) (*.f64 z (+.f64 x y)))))
(*.f64 (cbrt.f64 (+.f64 (*.f64 x y) (*.f64 z (+.f64 x y)))) (cbrt.f64 (pow.f64 (+.f64 (*.f64 x y) (*.f64 z (+.f64 x y))) #s(literal 1/2 binary64))))
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(-.f64 (exp.f64 (log1p.f64 (pow.f64 (+.f64 (*.f64 x y) (*.f64 z (+.f64 x y))) #s(literal 1/2 binary64)))) #s(literal 1 binary64))
(*.f64 (pow.f64 (+.f64 (*.f64 x y) (*.f64 z (+.f64 x y))) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (pow.f64 (+.f64 (*.f64 x y) (*.f64 z (+.f64 x y))) #s(literal 1/2 binary64)))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 (*.f64 x y) (*.f64 z (+.f64 x y))) #s(literal 1/2 binary64))) (cbrt.f64 (+.f64 (*.f64 x y) (*.f64 z (+.f64 x y)))))
(*.f64 (cbrt.f64 (+.f64 (*.f64 x y) (*.f64 z (+.f64 x y)))) (cbrt.f64 (pow.f64 (+.f64 (*.f64 x y) (*.f64 z (+.f64 x y))) #s(literal 1/2 binary64))))
(*.f64 (pow.f64 (+.f64 (*.f64 x y) (*.f64 z (+.f64 x y))) #s(literal 1/4 binary64)) (pow.f64 (+.f64 (*.f64 x y) (*.f64 z (+.f64 x y))) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/2 binary64)) (pow.f64 (+.f64 (*.f64 x y) (*.f64 z (+.f64 x y))) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 (+.f64 (*.f64 x y) (*.f64 z (+.f64 x y))) (+.f64 (*.f64 x y) (*.f64 z (+.f64 x y))))) #s(literal 1/2 binary64)) (pow.f64 (cbrt.f64 (+.f64 (*.f64 x y) (*.f64 z (+.f64 x y)))) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 (cbrt.f64 (*.f64 (+.f64 (*.f64 x y) (*.f64 z (+.f64 x y))) (+.f64 (*.f64 x y) (*.f64 z (+.f64 x y)))))) (sqrt.f64 (cbrt.f64 (+.f64 (*.f64 x y) (*.f64 z (+.f64 x y))))))
(/.f64 (sqrt.f64 (-.f64 (*.f64 (*.f64 x (+.f64 y z)) (*.f64 x (+.f64 y z))) (*.f64 (*.f64 y z) (*.f64 y z)))) (sqrt.f64 (-.f64 (*.f64 x (+.f64 y z)) (*.f64 y z))))
(/.f64 (sqrt.f64 (*.f64 (+.f64 (*.f64 (*.f64 x (+.f64 y z)) (*.f64 x (+.f64 y z))) (*.f64 (*.f64 y z) (-.f64 (*.f64 y z) (*.f64 x (+.f64 y z))))) (+.f64 (*.f64 x y) (*.f64 z (+.f64 x y))))) (sqrt.f64 (+.f64 (*.f64 (*.f64 x (+.f64 y z)) (*.f64 x (+.f64 y z))) (*.f64 (*.f64 y z) (-.f64 (*.f64 y z) (*.f64 x (+.f64 y z)))))))
(pow.f64 (+.f64 (*.f64 x y) (*.f64 z (+.f64 x y))) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (+.f64 (*.f64 x y) (*.f64 z (+.f64 x y))) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (pow.f64 (+.f64 (*.f64 x y) (*.f64 z (+.f64 x y))) #s(literal 1/2 binary64))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (+.f64 (*.f64 x y) (*.f64 z (+.f64 x y))) #s(literal 3/2 binary64)) #s(literal 1/3 binary64))
(pow.f64 (pow.f64 (+.f64 (*.f64 x y) (*.f64 z (+.f64 x y))) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(sqrt.f64 (+.f64 (*.f64 x y) (*.f64 z (+.f64 x y))))
(fabs.f64 (pow.f64 (+.f64 (*.f64 x y) (*.f64 z (+.f64 x y))) #s(literal 1/2 binary64)))
(log.f64 (exp.f64 (pow.f64 (+.f64 (*.f64 x y) (*.f64 z (+.f64 x y))) #s(literal 1/2 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (pow.f64 (+.f64 (*.f64 x y) (*.f64 z (+.f64 x y))) #s(literal 1/2 binary64)))))
(cbrt.f64 (pow.f64 (+.f64 (*.f64 x y) (*.f64 z (+.f64 x y))) #s(literal 3/2 binary64)))
(expm1.f64 (log1p.f64 (pow.f64 (+.f64 (*.f64 x y) (*.f64 z (+.f64 x y))) #s(literal 1/2 binary64))))
(hypot.f64 (pow.f64 (*.f64 x (+.f64 y z)) #s(literal 1/2 binary64)) (pow.f64 (*.f64 y z) #s(literal 1/2 binary64)))
(hypot.f64 (pow.f64 (*.f64 y z) #s(literal 1/2 binary64)) (pow.f64 (*.f64 x (+.f64 y z)) #s(literal 1/2 binary64)))
(hypot.f64 (sqrt.f64 (*.f64 x z)) (pow.f64 (*.f64 y (+.f64 x z)) #s(literal 1/2 binary64)))
(log1p.f64 (expm1.f64 (pow.f64 (+.f64 (*.f64 x y) (*.f64 z (+.f64 x y))) #s(literal 1/2 binary64))))
(exp.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (+.f64 (*.f64 x y) (*.f64 z (+.f64 x y))))))
(exp.f64 (*.f64 (log.f64 (+.f64 (*.f64 x y) (*.f64 z (+.f64 x y)))) #s(literal 1/2 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (+.f64 (*.f64 x y) (*.f64 z (+.f64 x y))))) #s(literal 1 binary64)))
(+.f64 (*.f64 x y) (*.f64 z (+.f64 x y)))
(+.f64 (*.f64 x y) (*.f64 (*.f64 z (+.f64 x y)) #s(literal 1 binary64)))
(+.f64 (*.f64 x z) (*.f64 y (+.f64 x z)))
(+.f64 (*.f64 x (+.f64 y z)) (*.f64 y z))
(+.f64 (*.f64 y z) (*.f64 x (+.f64 y z)))
(+.f64 (*.f64 y (+.f64 x z)) (*.f64 x z))
(+.f64 (*.f64 z (+.f64 x y)) (*.f64 x y))
(-.f64 (exp.f64 (log1p.f64 (+.f64 (*.f64 x y) (*.f64 z (+.f64 x y))))) #s(literal 1 binary64))
(-.f64 (/.f64 (*.f64 (*.f64 x (+.f64 y z)) (*.f64 x (+.f64 y z))) (-.f64 (*.f64 x (+.f64 y z)) (*.f64 y z))) (/.f64 (*.f64 (*.f64 y z) (*.f64 y z)) (-.f64 (*.f64 x (+.f64 y z)) (*.f64 y z))))
(*.f64 (+.f64 (*.f64 x y) (*.f64 z (+.f64 x y))) #s(literal 1 binary64))
(*.f64 (pow.f64 (+.f64 (*.f64 x y) (*.f64 z (+.f64 x y))) #s(literal 1/2 binary64)) (pow.f64 (+.f64 (*.f64 x y) (*.f64 z (+.f64 x y))) #s(literal 1/2 binary64)))
(*.f64 #s(literal 1 binary64) (+.f64 (*.f64 x y) (*.f64 z (+.f64 x y))))
(*.f64 (cbrt.f64 (+.f64 (*.f64 x y) (*.f64 z (+.f64 x y)))) (cbrt.f64 (*.f64 (+.f64 (*.f64 x y) (*.f64 z (+.f64 x y))) (+.f64 (*.f64 x y) (*.f64 z (+.f64 x y))))))
(*.f64 (cbrt.f64 (+.f64 (*.f64 x y) (*.f64 z (+.f64 x y)))) (*.f64 (cbrt.f64 (pow.f64 (+.f64 (*.f64 x y) (*.f64 z (+.f64 x y))) #s(literal 1/2 binary64))) (pow.f64 (+.f64 (*.f64 x y) (*.f64 z (+.f64 x y))) #s(literal 1/2 binary64))))
(*.f64 (cbrt.f64 (*.f64 (+.f64 (*.f64 x y) (*.f64 z (+.f64 x y))) (+.f64 (*.f64 x y) (*.f64 z (+.f64 x y))))) (cbrt.f64 (+.f64 (*.f64 x y) (*.f64 z (+.f64 x y)))))
(*.f64 (pow.f64 (+.f64 (*.f64 x y) (*.f64 z (+.f64 x y))) #s(literal 1/4 binary64)) (*.f64 (pow.f64 (+.f64 (*.f64 x y) (*.f64 z (+.f64 x y))) #s(literal 1/4 binary64)) (pow.f64 (+.f64 (*.f64 x y) (*.f64 z (+.f64 x y))) #s(literal 1/2 binary64))))
(*.f64 (*.f64 (+.f64 (*.f64 (*.f64 x (+.f64 y z)) (*.f64 x (+.f64 y z))) (*.f64 (*.f64 y z) (-.f64 (*.f64 y z) (*.f64 x (+.f64 y z))))) (+.f64 (*.f64 x y) (*.f64 z (+.f64 x y)))) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 (*.f64 x (+.f64 y z)) (*.f64 x (+.f64 y z))) (*.f64 (*.f64 y z) (-.f64 (*.f64 y z) (*.f64 x (+.f64 y z)))))))
(*.f64 (-.f64 (*.f64 (*.f64 x (+.f64 y z)) (*.f64 x (+.f64 y z))) (*.f64 (*.f64 y z) (*.f64 y z))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x (+.f64 y z)) (*.f64 y z))))
(*.f64 (*.f64 (pow.f64 (+.f64 (*.f64 x y) (*.f64 z (+.f64 x y))) #s(literal 1/2 binary64)) (pow.f64 (+.f64 (*.f64 x y) (*.f64 z (+.f64 x y))) #s(literal 1/4 binary64))) (pow.f64 (+.f64 (*.f64 x y) (*.f64 z (+.f64 x y))) #s(literal 1/4 binary64)))
(*.f64 (*.f64 (pow.f64 (+.f64 (*.f64 x y) (*.f64 z (+.f64 x y))) #s(literal 1/2 binary64)) (cbrt.f64 (+.f64 (*.f64 x y) (*.f64 z (+.f64 x y))))) (cbrt.f64 (pow.f64 (+.f64 (*.f64 x y) (*.f64 z (+.f64 x y))) #s(literal 1/2 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (*.f64 (*.f64 x (+.f64 y z)) (*.f64 x (+.f64 y z))) (*.f64 (*.f64 y z) (-.f64 (*.f64 y z) (*.f64 x (+.f64 y z))))) (*.f64 (+.f64 (*.f64 (*.f64 x (+.f64 y z)) (*.f64 x (+.f64 y z))) (*.f64 (*.f64 y z) (-.f64 (*.f64 y z) (*.f64 x (+.f64 y z))))) (+.f64 (*.f64 x y) (*.f64 z (+.f64 x y))))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 x (+.f64 y z)) (*.f64 y z)) (-.f64 (*.f64 (*.f64 x (+.f64 y z)) (*.f64 x (+.f64 y z))) (*.f64 (*.f64 y z) (*.f64 y z)))))
(/.f64 (*.f64 (+.f64 (*.f64 (*.f64 x (+.f64 y z)) (*.f64 x (+.f64 y z))) (*.f64 (*.f64 y z) (-.f64 (*.f64 y z) (*.f64 x (+.f64 y z))))) (+.f64 (*.f64 x y) (*.f64 z (+.f64 x y)))) (+.f64 (*.f64 (*.f64 x (+.f64 y z)) (*.f64 x (+.f64 y z))) (*.f64 (*.f64 y z) (-.f64 (*.f64 y z) (*.f64 x (+.f64 y z))))))
(/.f64 (*.f64 (+.f64 (*.f64 (*.f64 x (+.f64 y z)) (*.f64 x (+.f64 y z))) (*.f64 (*.f64 y z) (-.f64 (*.f64 y z) (*.f64 x (+.f64 y z))))) (+.f64 (*.f64 x y) (*.f64 z (+.f64 x y)))) (+.f64 (*.f64 (*.f64 y z) (*.f64 y z)) (-.f64 (*.f64 (*.f64 x (+.f64 y z)) (*.f64 x (+.f64 y z))) (*.f64 x (*.f64 (+.f64 y z) (*.f64 y z))))))
(/.f64 (-.f64 (*.f64 (*.f64 x (+.f64 y z)) (*.f64 x (+.f64 y z))) (*.f64 (*.f64 y z) (*.f64 y z))) (-.f64 (*.f64 x (+.f64 y z)) (*.f64 y z)))
(/.f64 (neg.f64 (*.f64 (+.f64 (*.f64 (*.f64 x (+.f64 y z)) (*.f64 x (+.f64 y z))) (*.f64 (*.f64 y z) (-.f64 (*.f64 y z) (*.f64 x (+.f64 y z))))) (+.f64 (*.f64 x y) (*.f64 z (+.f64 x y))))) (neg.f64 (+.f64 (*.f64 (*.f64 x (+.f64 y z)) (*.f64 x (+.f64 y z))) (*.f64 (*.f64 y z) (-.f64 (*.f64 y z) (*.f64 x (+.f64 y z)))))))
(/.f64 (neg.f64 (-.f64 (*.f64 (*.f64 x (+.f64 y z)) (*.f64 x (+.f64 y z))) (*.f64 (*.f64 y z) (*.f64 y z)))) (neg.f64 (-.f64 (*.f64 x (+.f64 y z)) (*.f64 y z))))
(/.f64 (+.f64 (*.f64 (*.f64 x z) (*.f64 (*.f64 x z) (*.f64 x z))) (*.f64 (*.f64 y (+.f64 x z)) (*.f64 y (*.f64 (+.f64 x z) (*.f64 y (+.f64 x z)))))) (+.f64 (*.f64 (*.f64 x z) (*.f64 x z)) (-.f64 (*.f64 y (*.f64 (+.f64 x z) (*.f64 y (+.f64 x z)))) (*.f64 (*.f64 x z) (*.f64 y (+.f64 x z))))))
(/.f64 (+.f64 (*.f64 (*.f64 x y) (*.f64 (*.f64 x y) (*.f64 x y))) (pow.f64 (*.f64 z (+.f64 x y)) #s(literal 3 binary64))) (+.f64 (*.f64 (*.f64 x y) (*.f64 x y)) (-.f64 (*.f64 (*.f64 z (+.f64 x y)) (*.f64 z (+.f64 x y))) (*.f64 (*.f64 x y) (*.f64 z (+.f64 x y))))))
(/.f64 (-.f64 (*.f64 (*.f64 x z) (*.f64 x z)) (*.f64 y (*.f64 (+.f64 x z) (*.f64 y (+.f64 x z))))) (-.f64 (*.f64 x z) (*.f64 y (+.f64 x z))))
(/.f64 (-.f64 (*.f64 (*.f64 x y) (*.f64 x y)) (*.f64 (*.f64 z (+.f64 x y)) (*.f64 z (+.f64 x y)))) (-.f64 (*.f64 x y) (*.f64 z (+.f64 x y))))
(/.f64 (-.f64 (*.f64 (*.f64 y z) (*.f64 y z)) (*.f64 (*.f64 x (+.f64 y z)) (*.f64 x (+.f64 y z)))) (-.f64 (*.f64 y z) (*.f64 x (+.f64 y z))))
(pow.f64 (+.f64 (*.f64 x y) (*.f64 z (+.f64 x y))) #s(literal 1 binary64))
(pow.f64 (pow.f64 (+.f64 (*.f64 x y) (*.f64 z (+.f64 x y))) #s(literal 1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (cbrt.f64 (+.f64 (*.f64 x y) (*.f64 z (+.f64 x y)))) #s(literal 3 binary64))
(pow.f64 (*.f64 (+.f64 (*.f64 x y) (*.f64 z (+.f64 x y))) (+.f64 (*.f64 x y) (*.f64 z (+.f64 x y)))) #s(literal 1/2 binary64))
(pow.f64 (*.f64 (+.f64 (*.f64 x y) (*.f64 z (+.f64 x y))) (*.f64 (+.f64 (*.f64 x y) (*.f64 z (+.f64 x y))) (+.f64 (*.f64 x y) (*.f64 z (+.f64 x y))))) #s(literal 1/3 binary64))
(sqrt.f64 (*.f64 (+.f64 (*.f64 x y) (*.f64 z (+.f64 x y))) (+.f64 (*.f64 x y) (*.f64 z (+.f64 x y)))))
(log.f64 (exp.f64 (+.f64 (*.f64 x y) (*.f64 z (+.f64 x y)))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (+.f64 (*.f64 x y) (*.f64 z (+.f64 x y))))))
(cbrt.f64 (*.f64 (+.f64 (*.f64 x y) (*.f64 z (+.f64 x y))) (*.f64 (+.f64 (*.f64 x y) (*.f64 z (+.f64 x y))) (+.f64 (*.f64 x y) (*.f64 z (+.f64 x y))))))
(expm1.f64 (log1p.f64 (+.f64 (*.f64 x y) (*.f64 z (+.f64 x y)))))
(log1p.f64 (expm1.f64 (+.f64 (*.f64 x y) (*.f64 z (+.f64 x y)))))
(exp.f64 (log.f64 (+.f64 (*.f64 x y) (*.f64 z (+.f64 x y)))))
(exp.f64 (*.f64 (log.f64 (+.f64 (*.f64 x y) (*.f64 z (+.f64 x y)))) #s(literal 1 binary64)))
(fma.f64 x y (*.f64 z (+.f64 x y)))
(fma.f64 x z (*.f64 y (+.f64 x z)))
(fma.f64 x (+.f64 y z) (*.f64 y z))
(fma.f64 y x (*.f64 z (+.f64 x y)))
(fma.f64 y z (*.f64 x (+.f64 y z)))
(fma.f64 z x (*.f64 y (+.f64 x z)))
(fma.f64 z y (*.f64 x (+.f64 y z)))
(fma.f64 #s(literal 1 binary64) (*.f64 x y) (*.f64 z (+.f64 x y)))
(fma.f64 #s(literal 1 binary64) (*.f64 x z) (*.f64 y (+.f64 x z)))
(fma.f64 #s(literal 1 binary64) (*.f64 x (+.f64 y z)) (*.f64 y z))
(fma.f64 #s(literal 1 binary64) (*.f64 y z) (*.f64 x (+.f64 y z)))
(fma.f64 (cbrt.f64 (*.f64 (*.f64 x (+.f64 y z)) (*.f64 x (+.f64 y z)))) (cbrt.f64 (*.f64 x (+.f64 y z))) (*.f64 y z))
(fma.f64 (cbrt.f64 (*.f64 (*.f64 x y) (*.f64 x y))) (cbrt.f64 (*.f64 x y)) (*.f64 z (+.f64 x y)))
(fma.f64 (cbrt.f64 (*.f64 (*.f64 y z) (*.f64 y z))) (cbrt.f64 (*.f64 y z)) (*.f64 x (+.f64 y z)))
(fma.f64 (cbrt.f64 (*.f64 (*.f64 x z) (*.f64 x z))) (cbrt.f64 (*.f64 x z)) (*.f64 y (+.f64 x z)))
(fma.f64 (pow.f64 (*.f64 x (+.f64 y z)) #s(literal 1/2 binary64)) (pow.f64 (*.f64 x (+.f64 y z)) #s(literal 1/2 binary64)) (*.f64 y z))
(fma.f64 (pow.f64 (*.f64 x y) #s(literal 1/2 binary64)) (pow.f64 (*.f64 x y) #s(literal 1/2 binary64)) (*.f64 z (+.f64 x y)))
(fma.f64 (pow.f64 (*.f64 y z) #s(literal 1/2 binary64)) (pow.f64 (*.f64 y z) #s(literal 1/2 binary64)) (*.f64 x (+.f64 y z)))
(fma.f64 (sqrt.f64 (*.f64 x z)) (sqrt.f64 (*.f64 x z)) (*.f64 y (+.f64 x z)))

simplify210.0ms (1.5%)

Algorithm
egg-herbie
Rules
833×associate-*r*
573×fma-define
477×fma-neg
406×distribute-rgt-in
404×distribute-lft-in
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
068227933
1208426396
2733626124
Stop Event
node limit
Counts
405 → 281
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)))))))
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(fma.f64 #s(literal 1 binary64) (*.f64 x z) (*.f64 y (+.f64 x z)))
(fma.f64 #s(literal 1 binary64) (*.f64 x (+.f64 y z)) (*.f64 y z))
(fma.f64 #s(literal 1 binary64) (*.f64 y z) (*.f64 x (+.f64 y z)))
(fma.f64 (cbrt.f64 (*.f64 (*.f64 x (+.f64 y z)) (*.f64 x (+.f64 y z)))) (cbrt.f64 (*.f64 x (+.f64 y z))) (*.f64 y z))
(fma.f64 (cbrt.f64 (*.f64 (*.f64 x y) (*.f64 x y))) (cbrt.f64 (*.f64 x y)) (*.f64 z (+.f64 x y)))
(fma.f64 (cbrt.f64 (*.f64 (*.f64 y z) (*.f64 y z))) (cbrt.f64 (*.f64 y z)) (*.f64 x (+.f64 y z)))
(fma.f64 (cbrt.f64 (*.f64 (*.f64 x z) (*.f64 x z))) (cbrt.f64 (*.f64 x z)) (*.f64 y (+.f64 x z)))
(fma.f64 (pow.f64 (*.f64 x (+.f64 y z)) #s(literal 1/2 binary64)) (pow.f64 (*.f64 x (+.f64 y z)) #s(literal 1/2 binary64)) (*.f64 y z))
(fma.f64 (pow.f64 (*.f64 x y) #s(literal 1/2 binary64)) (pow.f64 (*.f64 x y) #s(literal 1/2 binary64)) (*.f64 z (+.f64 x y)))
(fma.f64 (pow.f64 (*.f64 y z) #s(literal 1/2 binary64)) (pow.f64 (*.f64 y z) #s(literal 1/2 binary64)) (*.f64 x (+.f64 y z)))
(fma.f64 (sqrt.f64 (*.f64 x z)) (sqrt.f64 (*.f64 x z)) (*.f64 y (+.f64 x z)))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (+.f64 (*.f64 x y) (*.f64 z (+.f64 x y))) #s(literal 1/2 binary64)))) #s(literal 1 binary64))
(*.f64 (pow.f64 (+.f64 (*.f64 x y) (*.f64 z (+.f64 x y))) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (pow.f64 (+.f64 (*.f64 x y) (*.f64 z (+.f64 x y))) #s(literal 1/2 binary64)))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 (*.f64 x y) (*.f64 z (+.f64 x y))) #s(literal 1/2 binary64))) (cbrt.f64 (+.f64 (*.f64 x y) (*.f64 z (+.f64 x y)))))
(*.f64 (cbrt.f64 (+.f64 (*.f64 x y) (*.f64 z (+.f64 x y)))) (cbrt.f64 (pow.f64 (+.f64 (*.f64 x y) (*.f64 z (+.f64 x y))) #s(literal 1/2 binary64))))
(*.f64 (pow.f64 (+.f64 (*.f64 x y) (*.f64 z (+.f64 x y))) #s(literal 1/4 binary64)) (pow.f64 (+.f64 (*.f64 x y) (*.f64 z (+.f64 x y))) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/2 binary64)) (pow.f64 (+.f64 (*.f64 x y) (*.f64 z (+.f64 x y))) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 (+.f64 (*.f64 x y) (*.f64 z (+.f64 x y))) (+.f64 (*.f64 x y) (*.f64 z (+.f64 x y))))) #s(literal 1/2 binary64)) (pow.f64 (cbrt.f64 (+.f64 (*.f64 x y) (*.f64 z (+.f64 x y)))) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 (cbrt.f64 (*.f64 (+.f64 (*.f64 x y) (*.f64 z (+.f64 x y))) (+.f64 (*.f64 x y) (*.f64 z (+.f64 x y)))))) (sqrt.f64 (cbrt.f64 (+.f64 (*.f64 x y) (*.f64 z (+.f64 x y))))))
(/.f64 (sqrt.f64 (-.f64 (*.f64 (*.f64 x (+.f64 y z)) (*.f64 x (+.f64 y z))) (*.f64 (*.f64 y z) (*.f64 y z)))) (sqrt.f64 (-.f64 (*.f64 x (+.f64 y z)) (*.f64 y z))))
(/.f64 (sqrt.f64 (*.f64 (+.f64 (*.f64 (*.f64 x (+.f64 y z)) (*.f64 x (+.f64 y z))) (*.f64 (*.f64 y z) (-.f64 (*.f64 y z) (*.f64 x (+.f64 y z))))) (+.f64 (*.f64 x y) (*.f64 z (+.f64 x y))))) (sqrt.f64 (+.f64 (*.f64 (*.f64 x (+.f64 y z)) (*.f64 x (+.f64 y z))) (*.f64 (*.f64 y z) (-.f64 (*.f64 y z) (*.f64 x (+.f64 y z)))))))
(pow.f64 (+.f64 (*.f64 x y) (*.f64 z (+.f64 x y))) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (+.f64 (*.f64 x y) (*.f64 z (+.f64 x y))) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (pow.f64 (+.f64 (*.f64 x y) (*.f64 z (+.f64 x y))) #s(literal 1/2 binary64))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (+.f64 (*.f64 x y) (*.f64 z (+.f64 x y))) #s(literal 3/2 binary64)) #s(literal 1/3 binary64))
(pow.f64 (pow.f64 (+.f64 (*.f64 x y) (*.f64 z (+.f64 x y))) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(sqrt.f64 (+.f64 (*.f64 x y) (*.f64 z (+.f64 x y))))
(fabs.f64 (pow.f64 (+.f64 (*.f64 x y) (*.f64 z (+.f64 x y))) #s(literal 1/2 binary64)))
(log.f64 (exp.f64 (pow.f64 (+.f64 (*.f64 x y) (*.f64 z (+.f64 x y))) #s(literal 1/2 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (pow.f64 (+.f64 (*.f64 x y) (*.f64 z (+.f64 x y))) #s(literal 1/2 binary64)))))
(cbrt.f64 (pow.f64 (+.f64 (*.f64 x y) (*.f64 z (+.f64 x y))) #s(literal 3/2 binary64)))
(expm1.f64 (log1p.f64 (pow.f64 (+.f64 (*.f64 x y) (*.f64 z (+.f64 x y))) #s(literal 1/2 binary64))))
(hypot.f64 (pow.f64 (*.f64 x (+.f64 y z)) #s(literal 1/2 binary64)) (pow.f64 (*.f64 y z) #s(literal 1/2 binary64)))
(hypot.f64 (pow.f64 (*.f64 y z) #s(literal 1/2 binary64)) (pow.f64 (*.f64 x (+.f64 y z)) #s(literal 1/2 binary64)))
(hypot.f64 (sqrt.f64 (*.f64 x z)) (pow.f64 (*.f64 y (+.f64 x z)) #s(literal 1/2 binary64)))
(log1p.f64 (expm1.f64 (pow.f64 (+.f64 (*.f64 x y) (*.f64 z (+.f64 x y))) #s(literal 1/2 binary64))))
(exp.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (+.f64 (*.f64 x y) (*.f64 z (+.f64 x y))))))
(exp.f64 (*.f64 (log.f64 (+.f64 (*.f64 x y) (*.f64 z (+.f64 x y)))) #s(literal 1/2 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (+.f64 (*.f64 x y) (*.f64 z (+.f64 x y))))) #s(literal 1 binary64)))
(+.f64 (*.f64 x y) (*.f64 z (+.f64 x y)))
(+.f64 (*.f64 x y) (*.f64 (*.f64 z (+.f64 x y)) #s(literal 1 binary64)))
(+.f64 (*.f64 x z) (*.f64 y (+.f64 x z)))
(+.f64 (*.f64 x (+.f64 y z)) (*.f64 y z))
(+.f64 (*.f64 y z) (*.f64 x (+.f64 y z)))
(+.f64 (*.f64 y (+.f64 x z)) (*.f64 x z))
(+.f64 (*.f64 z (+.f64 x y)) (*.f64 x y))
(-.f64 (exp.f64 (log1p.f64 (+.f64 (*.f64 x y) (*.f64 z (+.f64 x y))))) #s(literal 1 binary64))
(-.f64 (/.f64 (*.f64 (*.f64 x (+.f64 y z)) (*.f64 x (+.f64 y z))) (-.f64 (*.f64 x (+.f64 y z)) (*.f64 y z))) (/.f64 (*.f64 (*.f64 y z) (*.f64 y z)) (-.f64 (*.f64 x (+.f64 y z)) (*.f64 y z))))
(*.f64 (+.f64 (*.f64 x y) (*.f64 z (+.f64 x y))) #s(literal 1 binary64))
(*.f64 (pow.f64 (+.f64 (*.f64 x y) (*.f64 z (+.f64 x y))) #s(literal 1/2 binary64)) (pow.f64 (+.f64 (*.f64 x y) (*.f64 z (+.f64 x y))) #s(literal 1/2 binary64)))
(*.f64 #s(literal 1 binary64) (+.f64 (*.f64 x y) (*.f64 z (+.f64 x y))))
(*.f64 (cbrt.f64 (+.f64 (*.f64 x y) (*.f64 z (+.f64 x y)))) (cbrt.f64 (*.f64 (+.f64 (*.f64 x y) (*.f64 z (+.f64 x y))) (+.f64 (*.f64 x y) (*.f64 z (+.f64 x y))))))
(*.f64 (cbrt.f64 (+.f64 (*.f64 x y) (*.f64 z (+.f64 x y)))) (*.f64 (cbrt.f64 (pow.f64 (+.f64 (*.f64 x y) (*.f64 z (+.f64 x y))) #s(literal 1/2 binary64))) (pow.f64 (+.f64 (*.f64 x y) (*.f64 z (+.f64 x y))) #s(literal 1/2 binary64))))
(*.f64 (cbrt.f64 (*.f64 (+.f64 (*.f64 x y) (*.f64 z (+.f64 x y))) (+.f64 (*.f64 x y) (*.f64 z (+.f64 x y))))) (cbrt.f64 (+.f64 (*.f64 x y) (*.f64 z (+.f64 x y)))))
(*.f64 (pow.f64 (+.f64 (*.f64 x y) (*.f64 z (+.f64 x y))) #s(literal 1/4 binary64)) (*.f64 (pow.f64 (+.f64 (*.f64 x y) (*.f64 z (+.f64 x y))) #s(literal 1/4 binary64)) (pow.f64 (+.f64 (*.f64 x y) (*.f64 z (+.f64 x y))) #s(literal 1/2 binary64))))
(*.f64 (*.f64 (+.f64 (*.f64 (*.f64 x (+.f64 y z)) (*.f64 x (+.f64 y z))) (*.f64 (*.f64 y z) (-.f64 (*.f64 y z) (*.f64 x (+.f64 y z))))) (+.f64 (*.f64 x y) (*.f64 z (+.f64 x y)))) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 (*.f64 x (+.f64 y z)) (*.f64 x (+.f64 y z))) (*.f64 (*.f64 y z) (-.f64 (*.f64 y z) (*.f64 x (+.f64 y z)))))))
(*.f64 (-.f64 (*.f64 (*.f64 x (+.f64 y z)) (*.f64 x (+.f64 y z))) (*.f64 (*.f64 y z) (*.f64 y z))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x (+.f64 y z)) (*.f64 y z))))
(*.f64 (*.f64 (pow.f64 (+.f64 (*.f64 x y) (*.f64 z (+.f64 x y))) #s(literal 1/2 binary64)) (pow.f64 (+.f64 (*.f64 x y) (*.f64 z (+.f64 x y))) #s(literal 1/4 binary64))) (pow.f64 (+.f64 (*.f64 x y) (*.f64 z (+.f64 x y))) #s(literal 1/4 binary64)))
(*.f64 (*.f64 (pow.f64 (+.f64 (*.f64 x y) (*.f64 z (+.f64 x y))) #s(literal 1/2 binary64)) (cbrt.f64 (+.f64 (*.f64 x y) (*.f64 z (+.f64 x y))))) (cbrt.f64 (pow.f64 (+.f64 (*.f64 x y) (*.f64 z (+.f64 x y))) #s(literal 1/2 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (*.f64 (*.f64 x (+.f64 y z)) (*.f64 x (+.f64 y z))) (*.f64 (*.f64 y z) (-.f64 (*.f64 y z) (*.f64 x (+.f64 y z))))) (*.f64 (+.f64 (*.f64 (*.f64 x (+.f64 y z)) (*.f64 x (+.f64 y z))) (*.f64 (*.f64 y z) (-.f64 (*.f64 y z) (*.f64 x (+.f64 y z))))) (+.f64 (*.f64 x y) (*.f64 z (+.f64 x y))))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 x (+.f64 y z)) (*.f64 y z)) (-.f64 (*.f64 (*.f64 x (+.f64 y z)) (*.f64 x (+.f64 y z))) (*.f64 (*.f64 y z) (*.f64 y z)))))
(/.f64 (*.f64 (+.f64 (*.f64 (*.f64 x (+.f64 y z)) (*.f64 x (+.f64 y z))) (*.f64 (*.f64 y z) (-.f64 (*.f64 y z) (*.f64 x (+.f64 y z))))) (+.f64 (*.f64 x y) (*.f64 z (+.f64 x y)))) (+.f64 (*.f64 (*.f64 x (+.f64 y z)) (*.f64 x (+.f64 y z))) (*.f64 (*.f64 y z) (-.f64 (*.f64 y z) (*.f64 x (+.f64 y z))))))
(/.f64 (*.f64 (+.f64 (*.f64 (*.f64 x (+.f64 y z)) (*.f64 x (+.f64 y z))) (*.f64 (*.f64 y z) (-.f64 (*.f64 y z) (*.f64 x (+.f64 y z))))) (+.f64 (*.f64 x y) (*.f64 z (+.f64 x y)))) (+.f64 (*.f64 (*.f64 y z) (*.f64 y z)) (-.f64 (*.f64 (*.f64 x (+.f64 y z)) (*.f64 x (+.f64 y z))) (*.f64 x (*.f64 (+.f64 y z) (*.f64 y z))))))
(/.f64 (-.f64 (*.f64 (*.f64 x (+.f64 y z)) (*.f64 x (+.f64 y z))) (*.f64 (*.f64 y z) (*.f64 y z))) (-.f64 (*.f64 x (+.f64 y z)) (*.f64 y z)))
(/.f64 (neg.f64 (*.f64 (+.f64 (*.f64 (*.f64 x (+.f64 y z)) (*.f64 x (+.f64 y z))) (*.f64 (*.f64 y z) (-.f64 (*.f64 y z) (*.f64 x (+.f64 y z))))) (+.f64 (*.f64 x y) (*.f64 z (+.f64 x y))))) (neg.f64 (+.f64 (*.f64 (*.f64 x (+.f64 y z)) (*.f64 x (+.f64 y z))) (*.f64 (*.f64 y z) (-.f64 (*.f64 y z) (*.f64 x (+.f64 y z)))))))
(/.f64 (neg.f64 (-.f64 (*.f64 (*.f64 x (+.f64 y z)) (*.f64 x (+.f64 y z))) (*.f64 (*.f64 y z) (*.f64 y z)))) (neg.f64 (-.f64 (*.f64 x (+.f64 y z)) (*.f64 y z))))
(/.f64 (+.f64 (*.f64 (*.f64 x z) (*.f64 (*.f64 x z) (*.f64 x z))) (*.f64 (*.f64 y (+.f64 x z)) (*.f64 y (*.f64 (+.f64 x z) (*.f64 y (+.f64 x z)))))) (+.f64 (*.f64 (*.f64 x z) (*.f64 x z)) (-.f64 (*.f64 y (*.f64 (+.f64 x z) (*.f64 y (+.f64 x z)))) (*.f64 (*.f64 x z) (*.f64 y (+.f64 x z))))))
(/.f64 (+.f64 (*.f64 (*.f64 x y) (*.f64 (*.f64 x y) (*.f64 x y))) (pow.f64 (*.f64 z (+.f64 x y)) #s(literal 3 binary64))) (+.f64 (*.f64 (*.f64 x y) (*.f64 x y)) (-.f64 (*.f64 (*.f64 z (+.f64 x y)) (*.f64 z (+.f64 x y))) (*.f64 (*.f64 x y) (*.f64 z (+.f64 x y))))))
(/.f64 (-.f64 (*.f64 (*.f64 x z) (*.f64 x z)) (*.f64 y (*.f64 (+.f64 x z) (*.f64 y (+.f64 x z))))) (-.f64 (*.f64 x z) (*.f64 y (+.f64 x z))))
(/.f64 (-.f64 (*.f64 (*.f64 x y) (*.f64 x y)) (*.f64 (*.f64 z (+.f64 x y)) (*.f64 z (+.f64 x y)))) (-.f64 (*.f64 x y) (*.f64 z (+.f64 x y))))
(/.f64 (-.f64 (*.f64 (*.f64 y z) (*.f64 y z)) (*.f64 (*.f64 x (+.f64 y z)) (*.f64 x (+.f64 y z)))) (-.f64 (*.f64 y z) (*.f64 x (+.f64 y z))))
(pow.f64 (+.f64 (*.f64 x y) (*.f64 z (+.f64 x y))) #s(literal 1 binary64))
(pow.f64 (pow.f64 (+.f64 (*.f64 x y) (*.f64 z (+.f64 x y))) #s(literal 1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (cbrt.f64 (+.f64 (*.f64 x y) (*.f64 z (+.f64 x y)))) #s(literal 3 binary64))
(pow.f64 (*.f64 (+.f64 (*.f64 x y) (*.f64 z (+.f64 x y))) (+.f64 (*.f64 x y) (*.f64 z (+.f64 x y)))) #s(literal 1/2 binary64))
(pow.f64 (*.f64 (+.f64 (*.f64 x y) (*.f64 z (+.f64 x y))) (*.f64 (+.f64 (*.f64 x y) (*.f64 z (+.f64 x y))) (+.f64 (*.f64 x y) (*.f64 z (+.f64 x y))))) #s(literal 1/3 binary64))
(sqrt.f64 (*.f64 (+.f64 (*.f64 x y) (*.f64 z (+.f64 x y))) (+.f64 (*.f64 x y) (*.f64 z (+.f64 x y)))))
(log.f64 (exp.f64 (+.f64 (*.f64 x y) (*.f64 z (+.f64 x y)))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (+.f64 (*.f64 x y) (*.f64 z (+.f64 x y))))))
(cbrt.f64 (*.f64 (+.f64 (*.f64 x y) (*.f64 z (+.f64 x y))) (*.f64 (+.f64 (*.f64 x y) (*.f64 z (+.f64 x y))) (+.f64 (*.f64 x y) (*.f64 z (+.f64 x y))))))
(expm1.f64 (log1p.f64 (+.f64 (*.f64 x y) (*.f64 z (+.f64 x y)))))
(log1p.f64 (expm1.f64 (+.f64 (*.f64 x y) (*.f64 z (+.f64 x y)))))
(exp.f64 (log.f64 (+.f64 (*.f64 x y) (*.f64 z (+.f64 x y)))))
(exp.f64 (*.f64 (log.f64 (+.f64 (*.f64 x y) (*.f64 z (+.f64 x y)))) #s(literal 1 binary64)))
(fma.f64 x y (*.f64 z (+.f64 x y)))
(fma.f64 x z (*.f64 y (+.f64 x z)))
(fma.f64 x (+.f64 y z) (*.f64 y z))
(fma.f64 y x (*.f64 z (+.f64 x y)))
(fma.f64 y z (*.f64 x (+.f64 y z)))
(fma.f64 z x (*.f64 y (+.f64 x z)))
(fma.f64 z y (*.f64 x (+.f64 y z)))
(fma.f64 #s(literal 1 binary64) (*.f64 x y) (*.f64 z (+.f64 x y)))
(fma.f64 #s(literal 1 binary64) (*.f64 x z) (*.f64 y (+.f64 x z)))
(fma.f64 #s(literal 1 binary64) (*.f64 x (+.f64 y z)) (*.f64 y z))
(fma.f64 #s(literal 1 binary64) (*.f64 y z) (*.f64 x (+.f64 y z)))
(fma.f64 (cbrt.f64 (*.f64 (*.f64 x (+.f64 y z)) (*.f64 x (+.f64 y z)))) (cbrt.f64 (*.f64 x (+.f64 y z))) (*.f64 y z))
(fma.f64 (cbrt.f64 (*.f64 (*.f64 x y) (*.f64 x y))) (cbrt.f64 (*.f64 x y)) (*.f64 z (+.f64 x y)))
(fma.f64 (cbrt.f64 (*.f64 (*.f64 y z) (*.f64 y z))) (cbrt.f64 (*.f64 y z)) (*.f64 x (+.f64 y z)))
(fma.f64 (cbrt.f64 (*.f64 (*.f64 x z) (*.f64 x z))) (cbrt.f64 (*.f64 x z)) (*.f64 y (+.f64 x z)))
(fma.f64 (pow.f64 (*.f64 x (+.f64 y z)) #s(literal 1/2 binary64)) (pow.f64 (*.f64 x (+.f64 y z)) #s(literal 1/2 binary64)) (*.f64 y z))
(fma.f64 (pow.f64 (*.f64 x y) #s(literal 1/2 binary64)) (pow.f64 (*.f64 x y) #s(literal 1/2 binary64)) (*.f64 z (+.f64 x y)))
(fma.f64 (pow.f64 (*.f64 y z) #s(literal 1/2 binary64)) (pow.f64 (*.f64 y z) #s(literal 1/2 binary64)) (*.f64 x (+.f64 y z)))
(fma.f64 (sqrt.f64 (*.f64 x z)) (sqrt.f64 (*.f64 x z)) (*.f64 y (+.f64 x z)))
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))))))
(fma.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) (+.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))))))
(fma.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 (*.f64 #s(literal -1/8 binary64) (*.f64 (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))))))))) (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))))))))))))
(fma.f64 x (fma.f64 x (fma.f64 (*.f64 (*.f64 #s(literal 1/16 binary64) x) (pow.f64 (+.f64 y z) #s(literal 3 binary64))) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 5 binary64))) (pow.f64 z #s(literal 5 binary64)))) (*.f64 #s(literal -1/8 binary64) (*.f64 (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 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 y z)))) (+.f64 y z))) (sqrt.f64 (*.f64 y z)))
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(+.f64 (*.f64 x y) (*.f64 (*.f64 z (+.f64 x y)) #s(literal 1 binary64)))
(fma.f64 y z (*.f64 x (+.f64 y z)))
(+.f64 (*.f64 x z) (*.f64 y (+.f64 x z)))
(fma.f64 y z (*.f64 x (+.f64 y z)))
(+.f64 (*.f64 x (+.f64 y z)) (*.f64 y z))
(fma.f64 y z (*.f64 x (+.f64 y z)))
(+.f64 (*.f64 y z) (*.f64 x (+.f64 y z)))
(fma.f64 y z (*.f64 x (+.f64 y z)))
(+.f64 (*.f64 y (+.f64 x z)) (*.f64 x z))
(fma.f64 y z (*.f64 x (+.f64 y z)))
(+.f64 (*.f64 z (+.f64 x y)) (*.f64 x y))
(fma.f64 y z (*.f64 x (+.f64 y z)))
(-.f64 (exp.f64 (log1p.f64 (+.f64 (*.f64 x y) (*.f64 z (+.f64 x y))))) #s(literal 1 binary64))
(expm1.f64 (log1p.f64 (fma.f64 y z (*.f64 x (+.f64 y z)))))
(-.f64 (/.f64 (*.f64 (*.f64 x (+.f64 y z)) (*.f64 x (+.f64 y z))) (-.f64 (*.f64 x (+.f64 y z)) (*.f64 y z))) (/.f64 (*.f64 (*.f64 y z) (*.f64 y z)) (-.f64 (*.f64 x (+.f64 y z)) (*.f64 y z))))
(/.f64 (-.f64 (pow.f64 (*.f64 x (+.f64 y z)) #s(literal 2 binary64)) (pow.f64 (*.f64 y z) #s(literal 2 binary64))) (fma.f64 x (+.f64 y z) (*.f64 z (neg.f64 y))))
(*.f64 (+.f64 (*.f64 x y) (*.f64 z (+.f64 x y))) #s(literal 1 binary64))
(fma.f64 y z (*.f64 x (+.f64 y z)))
(*.f64 (pow.f64 (+.f64 (*.f64 x y) (*.f64 z (+.f64 x y))) #s(literal 1/2 binary64)) (pow.f64 (+.f64 (*.f64 x y) (*.f64 z (+.f64 x y))) #s(literal 1/2 binary64)))
(fma.f64 y z (*.f64 x (+.f64 y z)))
(*.f64 #s(literal 1 binary64) (+.f64 (*.f64 x y) (*.f64 z (+.f64 x y))))
(fma.f64 y z (*.f64 x (+.f64 y z)))
(*.f64 (cbrt.f64 (+.f64 (*.f64 x y) (*.f64 z (+.f64 x y)))) (cbrt.f64 (*.f64 (+.f64 (*.f64 x y) (*.f64 z (+.f64 x y))) (+.f64 (*.f64 x y) (*.f64 z (+.f64 x y))))))
(*.f64 (cbrt.f64 (fma.f64 y z (*.f64 x (+.f64 y z)))) (cbrt.f64 (pow.f64 (fma.f64 y z (*.f64 x (+.f64 y z))) #s(literal 2 binary64))))
(*.f64 (cbrt.f64 (+.f64 (*.f64 x y) (*.f64 z (+.f64 x y)))) (*.f64 (cbrt.f64 (pow.f64 (+.f64 (*.f64 x y) (*.f64 z (+.f64 x y))) #s(literal 1/2 binary64))) (pow.f64 (+.f64 (*.f64 x y) (*.f64 z (+.f64 x y))) #s(literal 1/2 binary64))))
(*.f64 (cbrt.f64 (fma.f64 y z (*.f64 x (+.f64 y z)))) (pow.f64 (cbrt.f64 (sqrt.f64 (fma.f64 y z (*.f64 x (+.f64 y z))))) #s(literal 4 binary64)))
(*.f64 (cbrt.f64 (*.f64 (+.f64 (*.f64 x y) (*.f64 z (+.f64 x y))) (+.f64 (*.f64 x y) (*.f64 z (+.f64 x y))))) (cbrt.f64 (+.f64 (*.f64 x y) (*.f64 z (+.f64 x y)))))
(*.f64 (cbrt.f64 (fma.f64 y z (*.f64 x (+.f64 y z)))) (cbrt.f64 (pow.f64 (fma.f64 y z (*.f64 x (+.f64 y z))) #s(literal 2 binary64))))
(*.f64 (pow.f64 (+.f64 (*.f64 x y) (*.f64 z (+.f64 x y))) #s(literal 1/4 binary64)) (*.f64 (pow.f64 (+.f64 (*.f64 x y) (*.f64 z (+.f64 x y))) #s(literal 1/4 binary64)) (pow.f64 (+.f64 (*.f64 x y) (*.f64 z (+.f64 x y))) #s(literal 1/2 binary64))))
(fma.f64 y z (*.f64 x (+.f64 y z)))
(*.f64 (*.f64 (+.f64 (*.f64 (*.f64 x (+.f64 y z)) (*.f64 x (+.f64 y z))) (*.f64 (*.f64 y z) (-.f64 (*.f64 y z) (*.f64 x (+.f64 y z))))) (+.f64 (*.f64 x y) (*.f64 z (+.f64 x y)))) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 (*.f64 x (+.f64 y z)) (*.f64 x (+.f64 y z))) (*.f64 (*.f64 y z) (-.f64 (*.f64 y z) (*.f64 x (+.f64 y z)))))))
(fma.f64 y z (*.f64 x (+.f64 y z)))
(*.f64 (-.f64 (*.f64 (*.f64 x (+.f64 y z)) (*.f64 x (+.f64 y z))) (*.f64 (*.f64 y z) (*.f64 y z))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x (+.f64 y z)) (*.f64 y z))))
(/.f64 (-.f64 (pow.f64 (*.f64 x (+.f64 y z)) #s(literal 2 binary64)) (pow.f64 (*.f64 y z) #s(literal 2 binary64))) (fma.f64 x (+.f64 y z) (*.f64 z (neg.f64 y))))
(*.f64 (*.f64 (pow.f64 (+.f64 (*.f64 x y) (*.f64 z (+.f64 x y))) #s(literal 1/2 binary64)) (pow.f64 (+.f64 (*.f64 x y) (*.f64 z (+.f64 x y))) #s(literal 1/4 binary64))) (pow.f64 (+.f64 (*.f64 x y) (*.f64 z (+.f64 x y))) #s(literal 1/4 binary64)))
(fma.f64 y z (*.f64 x (+.f64 y z)))
(*.f64 (*.f64 (pow.f64 (+.f64 (*.f64 x y) (*.f64 z (+.f64 x y))) #s(literal 1/2 binary64)) (cbrt.f64 (+.f64 (*.f64 x y) (*.f64 z (+.f64 x y))))) (cbrt.f64 (pow.f64 (+.f64 (*.f64 x y) (*.f64 z (+.f64 x y))) #s(literal 1/2 binary64))))
(*.f64 (cbrt.f64 (fma.f64 y z (*.f64 x (+.f64 y z)))) (pow.f64 (cbrt.f64 (sqrt.f64 (fma.f64 y z (*.f64 x (+.f64 y z))))) #s(literal 4 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (*.f64 (*.f64 x (+.f64 y z)) (*.f64 x (+.f64 y z))) (*.f64 (*.f64 y z) (-.f64 (*.f64 y z) (*.f64 x (+.f64 y z))))) (*.f64 (+.f64 (*.f64 (*.f64 x (+.f64 y z)) (*.f64 x (+.f64 y z))) (*.f64 (*.f64 y z) (-.f64 (*.f64 y z) (*.f64 x (+.f64 y z))))) (+.f64 (*.f64 x y) (*.f64 z (+.f64 x y))))))
(fma.f64 y z (*.f64 x (+.f64 y z)))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 x (+.f64 y z)) (*.f64 y z)) (-.f64 (*.f64 (*.f64 x (+.f64 y z)) (*.f64 x (+.f64 y z))) (*.f64 (*.f64 y z) (*.f64 y z)))))
(/.f64 (-.f64 (pow.f64 (*.f64 x (+.f64 y z)) #s(literal 2 binary64)) (pow.f64 (*.f64 y z) #s(literal 2 binary64))) (fma.f64 x (+.f64 y z) (*.f64 z (neg.f64 y))))
(/.f64 (*.f64 (+.f64 (*.f64 (*.f64 x (+.f64 y z)) (*.f64 x (+.f64 y z))) (*.f64 (*.f64 y z) (-.f64 (*.f64 y z) (*.f64 x (+.f64 y z))))) (+.f64 (*.f64 x y) (*.f64 z (+.f64 x y)))) (+.f64 (*.f64 (*.f64 x (+.f64 y z)) (*.f64 x (+.f64 y z))) (*.f64 (*.f64 y z) (-.f64 (*.f64 y z) (*.f64 x (+.f64 y z))))))
(fma.f64 y z (*.f64 x (+.f64 y z)))
(/.f64 (*.f64 (+.f64 (*.f64 (*.f64 x (+.f64 y z)) (*.f64 x (+.f64 y z))) (*.f64 (*.f64 y z) (-.f64 (*.f64 y z) (*.f64 x (+.f64 y z))))) (+.f64 (*.f64 x y) (*.f64 z (+.f64 x y)))) (+.f64 (*.f64 (*.f64 y z) (*.f64 y z)) (-.f64 (*.f64 (*.f64 x (+.f64 y z)) (*.f64 x (+.f64 y z))) (*.f64 x (*.f64 (+.f64 y z) (*.f64 y z))))))
(/.f64 (*.f64 (fma.f64 y z (*.f64 x (+.f64 y z))) (fma.f64 y (*.f64 z (-.f64 (*.f64 y z) (*.f64 x (+.f64 y z)))) (pow.f64 (*.f64 x (+.f64 y z)) #s(literal 2 binary64)))) (+.f64 (pow.f64 (*.f64 y z) #s(literal 2 binary64)) (*.f64 (*.f64 x (+.f64 y z)) (fma.f64 x (+.f64 y z) (*.f64 z (neg.f64 y))))))
(/.f64 (-.f64 (*.f64 (*.f64 x (+.f64 y z)) (*.f64 x (+.f64 y z))) (*.f64 (*.f64 y z) (*.f64 y z))) (-.f64 (*.f64 x (+.f64 y z)) (*.f64 y z)))
(/.f64 (-.f64 (pow.f64 (*.f64 x (+.f64 y z)) #s(literal 2 binary64)) (pow.f64 (*.f64 y z) #s(literal 2 binary64))) (fma.f64 x (+.f64 y z) (*.f64 z (neg.f64 y))))
(/.f64 (neg.f64 (*.f64 (+.f64 (*.f64 (*.f64 x (+.f64 y z)) (*.f64 x (+.f64 y z))) (*.f64 (*.f64 y z) (-.f64 (*.f64 y z) (*.f64 x (+.f64 y z))))) (+.f64 (*.f64 x y) (*.f64 z (+.f64 x y))))) (neg.f64 (+.f64 (*.f64 (*.f64 x (+.f64 y z)) (*.f64 x (+.f64 y z))) (*.f64 (*.f64 y z) (-.f64 (*.f64 y z) (*.f64 x (+.f64 y z)))))))
(fma.f64 y z (*.f64 x (+.f64 y z)))
(/.f64 (neg.f64 (-.f64 (*.f64 (*.f64 x (+.f64 y z)) (*.f64 x (+.f64 y z))) (*.f64 (*.f64 y z) (*.f64 y z)))) (neg.f64 (-.f64 (*.f64 x (+.f64 y z)) (*.f64 y z))))
(/.f64 (-.f64 (pow.f64 (*.f64 y z) #s(literal 2 binary64)) (pow.f64 (*.f64 x (+.f64 y z)) #s(literal 2 binary64))) (-.f64 (*.f64 y z) (*.f64 x (+.f64 y z))))
(/.f64 (+.f64 (*.f64 (*.f64 x z) (*.f64 (*.f64 x z) (*.f64 x z))) (*.f64 (*.f64 y (+.f64 x z)) (*.f64 y (*.f64 (+.f64 x z) (*.f64 y (+.f64 x z)))))) (+.f64 (*.f64 (*.f64 x z) (*.f64 x z)) (-.f64 (*.f64 y (*.f64 (+.f64 x z) (*.f64 y (+.f64 x z)))) (*.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))) (fma.f64 x (*.f64 z (*.f64 z x)) (*.f64 (*.f64 y (+.f64 z x)) (-.f64 (*.f64 y (+.f64 z x)) (*.f64 z x)))))
(/.f64 (+.f64 (*.f64 (*.f64 x y) (*.f64 (*.f64 x y) (*.f64 x y))) (pow.f64 (*.f64 z (+.f64 x y)) #s(literal 3 binary64))) (+.f64 (*.f64 (*.f64 x y) (*.f64 x y)) (-.f64 (*.f64 (*.f64 z (+.f64 x y)) (*.f64 z (+.f64 x y))) (*.f64 (*.f64 x y) (*.f64 z (+.f64 x y))))))
(/.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 (+.f64 y x)) (*.f64 y x)) (pow.f64 (*.f64 y x) #s(literal 2 binary64))))
(/.f64 (-.f64 (*.f64 (*.f64 x z) (*.f64 x z)) (*.f64 y (*.f64 (+.f64 x z) (*.f64 y (+.f64 x z))))) (-.f64 (*.f64 x z) (*.f64 y (+.f64 x z))))
(/.f64 (-.f64 (*.f64 x (*.f64 z (*.f64 z x))) (pow.f64 (*.f64 y (+.f64 z x)) #s(literal 2 binary64))) (fma.f64 x (-.f64 z y) (*.f64 z (neg.f64 y))))
(/.f64 (-.f64 (*.f64 (*.f64 x y) (*.f64 x y)) (*.f64 (*.f64 z (+.f64 x y)) (*.f64 z (+.f64 x y)))) (-.f64 (*.f64 x y) (*.f64 z (+.f64 x y))))
(/.f64 (-.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (*.f64 z (*.f64 z (pow.f64 (+.f64 y x) #s(literal 2 binary64))))) (-.f64 (*.f64 y x) (*.f64 z (+.f64 y x))))
(/.f64 (-.f64 (*.f64 (*.f64 y z) (*.f64 y z)) (*.f64 (*.f64 x (+.f64 y z)) (*.f64 x (+.f64 y z)))) (-.f64 (*.f64 y z) (*.f64 x (+.f64 y z))))
(/.f64 (-.f64 (pow.f64 (*.f64 y z) #s(literal 2 binary64)) (pow.f64 (*.f64 x (+.f64 y z)) #s(literal 2 binary64))) (-.f64 (*.f64 y z) (*.f64 x (+.f64 y z))))
(pow.f64 (+.f64 (*.f64 x y) (*.f64 z (+.f64 x y))) #s(literal 1 binary64))
(fma.f64 y z (*.f64 x (+.f64 y z)))
(pow.f64 (pow.f64 (+.f64 (*.f64 x y) (*.f64 z (+.f64 x y))) #s(literal 1/2 binary64)) #s(literal 2 binary64))
(fma.f64 y z (*.f64 x (+.f64 y z)))
(pow.f64 (cbrt.f64 (+.f64 (*.f64 x y) (*.f64 z (+.f64 x y)))) #s(literal 3 binary64))
(fma.f64 y z (*.f64 x (+.f64 y z)))
(pow.f64 (*.f64 (+.f64 (*.f64 x y) (*.f64 z (+.f64 x y))) (+.f64 (*.f64 x y) (*.f64 z (+.f64 x y)))) #s(literal 1/2 binary64))
(fma.f64 y z (*.f64 x (+.f64 y z)))
(pow.f64 (*.f64 (+.f64 (*.f64 x y) (*.f64 z (+.f64 x y))) (*.f64 (+.f64 (*.f64 x y) (*.f64 z (+.f64 x y))) (+.f64 (*.f64 x y) (*.f64 z (+.f64 x y))))) #s(literal 1/3 binary64))
(fma.f64 y z (*.f64 x (+.f64 y z)))
(sqrt.f64 (*.f64 (+.f64 (*.f64 x y) (*.f64 z (+.f64 x y))) (+.f64 (*.f64 x y) (*.f64 z (+.f64 x y)))))
(fma.f64 y z (*.f64 x (+.f64 y z)))
(log.f64 (exp.f64 (+.f64 (*.f64 x y) (*.f64 z (+.f64 x y)))))
(fma.f64 y z (*.f64 x (+.f64 y z)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (+.f64 (*.f64 x y) (*.f64 z (+.f64 x y))))))
(fma.f64 y z (*.f64 x (+.f64 y z)))
(cbrt.f64 (*.f64 (+.f64 (*.f64 x y) (*.f64 z (+.f64 x y))) (*.f64 (+.f64 (*.f64 x y) (*.f64 z (+.f64 x y))) (+.f64 (*.f64 x y) (*.f64 z (+.f64 x y))))))
(fma.f64 y z (*.f64 x (+.f64 y z)))
(expm1.f64 (log1p.f64 (+.f64 (*.f64 x y) (*.f64 z (+.f64 x y)))))
(expm1.f64 (log1p.f64 (fma.f64 y z (*.f64 x (+.f64 y z)))))
(log1p.f64 (expm1.f64 (+.f64 (*.f64 x y) (*.f64 z (+.f64 x y)))))
(fma.f64 y z (*.f64 x (+.f64 y z)))
(exp.f64 (log.f64 (+.f64 (*.f64 x y) (*.f64 z (+.f64 x y)))))
(fma.f64 y z (*.f64 x (+.f64 y z)))
(exp.f64 (*.f64 (log.f64 (+.f64 (*.f64 x y) (*.f64 z (+.f64 x y)))) #s(literal 1 binary64)))
(fma.f64 y z (*.f64 x (+.f64 y z)))
(fma.f64 x y (*.f64 z (+.f64 x y)))
(fma.f64 y z (*.f64 x (+.f64 y z)))
(fma.f64 x z (*.f64 y (+.f64 x z)))
(fma.f64 y z (*.f64 x (+.f64 y z)))
(fma.f64 x (+.f64 y z) (*.f64 y z))
(fma.f64 y z (*.f64 x (+.f64 y z)))
(fma.f64 y x (*.f64 z (+.f64 x y)))
(fma.f64 y z (*.f64 x (+.f64 y z)))
(fma.f64 y z (*.f64 x (+.f64 y z)))
(fma.f64 z x (*.f64 y (+.f64 x z)))
(fma.f64 y z (*.f64 x (+.f64 y z)))
(fma.f64 z y (*.f64 x (+.f64 y z)))
(fma.f64 y z (*.f64 x (+.f64 y z)))
(fma.f64 #s(literal 1 binary64) (*.f64 x y) (*.f64 z (+.f64 x y)))
(fma.f64 y z (*.f64 x (+.f64 y z)))
(fma.f64 #s(literal 1 binary64) (*.f64 x z) (*.f64 y (+.f64 x z)))
(fma.f64 y z (*.f64 x (+.f64 y z)))
(fma.f64 #s(literal 1 binary64) (*.f64 x (+.f64 y z)) (*.f64 y z))
(fma.f64 y z (*.f64 x (+.f64 y z)))
(fma.f64 #s(literal 1 binary64) (*.f64 y z) (*.f64 x (+.f64 y z)))
(fma.f64 y z (*.f64 x (+.f64 y z)))
(fma.f64 (cbrt.f64 (*.f64 (*.f64 x (+.f64 y z)) (*.f64 x (+.f64 y z)))) (cbrt.f64 (*.f64 x (+.f64 y z))) (*.f64 y z))
(fma.f64 (cbrt.f64 (*.f64 x (+.f64 y z))) (cbrt.f64 (pow.f64 (*.f64 x (+.f64 y z)) #s(literal 2 binary64))) (*.f64 y z))
(fma.f64 (cbrt.f64 (*.f64 (*.f64 x y) (*.f64 x y))) (cbrt.f64 (*.f64 x y)) (*.f64 z (+.f64 x y)))
(fma.f64 (cbrt.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64))) (cbrt.f64 (*.f64 y x)) (*.f64 z (+.f64 y x)))
(fma.f64 (cbrt.f64 (*.f64 (*.f64 y z) (*.f64 y z))) (cbrt.f64 (*.f64 y z)) (*.f64 x (+.f64 y z)))
(fma.f64 (cbrt.f64 (pow.f64 (*.f64 y z) #s(literal 2 binary64))) (cbrt.f64 (*.f64 y z)) (*.f64 x (+.f64 y z)))
(fma.f64 (cbrt.f64 (*.f64 (*.f64 x z) (*.f64 x z))) (cbrt.f64 (*.f64 x z)) (*.f64 y (+.f64 x z)))
(fma.f64 (cbrt.f64 (*.f64 x (*.f64 z (*.f64 z x)))) (cbrt.f64 (*.f64 z x)) (*.f64 y (+.f64 z x)))
(fma.f64 (pow.f64 (*.f64 x (+.f64 y z)) #s(literal 1/2 binary64)) (pow.f64 (*.f64 x (+.f64 y z)) #s(literal 1/2 binary64)) (*.f64 y z))
(fma.f64 y z (*.f64 x (+.f64 y z)))
(fma.f64 (pow.f64 (*.f64 x y) #s(literal 1/2 binary64)) (pow.f64 (*.f64 x y) #s(literal 1/2 binary64)) (*.f64 z (+.f64 x y)))
(fma.f64 y z (*.f64 x (+.f64 y z)))
(fma.f64 (pow.f64 (*.f64 y z) #s(literal 1/2 binary64)) (pow.f64 (*.f64 y z) #s(literal 1/2 binary64)) (*.f64 x (+.f64 y z)))
(fma.f64 y z (*.f64 x (+.f64 y z)))
(fma.f64 (sqrt.f64 (*.f64 x z)) (sqrt.f64 (*.f64 x z)) (*.f64 y (+.f64 x z)))
(fma.f64 y z (*.f64 x (+.f64 y z)))

eval242.0ms (1.7%)

Compiler

Compiled 17843 to 7133 computations (60% saved)

prune88.0ms (0.6%)

Pruning

22 alts after pruning (22 fresh and 0 done)

PrunedKeptTotal
New66422686
Fresh000
Picked202
Done000
Total66622688
Accuracy
79.1%
Counts
688 → 22
Alt Table
Click to see full alt table
StatusAccuracyProgram
12.3%
(*.f64 #s(literal 2 binary64) (fma.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 (*.f64 #s(literal -1/8 binary64) (*.f64 (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))))))))) (sqrt.f64 (*.f64 y z))))
68.1%
(*.f64 #s(literal 2 binary64) (pow.f64 (pow.f64 (+.f64 (*.f64 x y) (*.f64 z (+.f64 x y))) #s(literal 1/4 binary64)) #s(literal 2 binary64)))
16.1%
(*.f64 #s(literal 2 binary64) (/.f64 (sqrt.f64 (-.f64 (*.f64 (*.f64 x (+.f64 y z)) (*.f64 x (+.f64 y z))) (*.f64 (*.f64 y z) (*.f64 y z)))) (sqrt.f64 (-.f64 (*.f64 x (+.f64 y z)) (*.f64 y z)))))
37.5%
(*.f64 #s(literal 2 binary64) (+.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)))))))
67.9%
(*.f64 #s(literal 2 binary64) (*.f64 (cbrt.f64 (pow.f64 (+.f64 (*.f64 x y) (*.f64 z (+.f64 x y))) #s(literal 1/2 binary64))) (cbrt.f64 (+.f64 (*.f64 x y) (*.f64 z (+.f64 x y))))))
40.1%
(*.f64 #s(literal 2 binary64) (*.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)))))))))
34.7%
(*.f64 #s(literal 2 binary64) (*.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)))))))))
68.6%
(*.f64 #s(literal 2 binary64) (sqrt.f64 (fma.f64 z y (*.f64 x (+.f64 y z)))))
31.6%
(*.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 (-.f64 (*.f64 (*.f64 x z) (*.f64 x z)) (*.f64 y (*.f64 (+.f64 x z) (*.f64 y (+.f64 x z))))) (-.f64 (*.f64 x z) (*.f64 y (+.f64 x z))))))
22.4%
(*.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 (+.f64 (*.f64 (*.f64 x z) (*.f64 (*.f64 x z) (*.f64 x z))) (*.f64 (*.f64 y (+.f64 x z)) (*.f64 y (*.f64 (+.f64 x z) (*.f64 y (+.f64 x z)))))) (+.f64 (*.f64 (*.f64 x z) (*.f64 x z)) (-.f64 (*.f64 y (*.f64 (+.f64 x z) (*.f64 y (+.f64 x z)))) (*.f64 (*.f64 x z) (*.f64 y (+.f64 x z))))))))
49.1%
(*.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (/.f64 (*.f64 (*.f64 x (+.f64 y z)) (*.f64 x (-.f64 y z))) (*.f64 x (-.f64 y z))) (*.f64 y z))))
49.1%
(*.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (*.f64 (*.f64 (*.f64 x (+.f64 y z)) (*.f64 x (-.f64 y z))) (/.f64 #s(literal 1 binary64) (*.f64 x (-.f64 y z)))) (*.f64 y z))))
36.2%
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 (-.f64 (*.f64 (*.f64 x (+.f64 y z)) (*.f64 x (+.f64 y z))) (*.f64 (*.f64 y z) (*.f64 y z))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x (+.f64 y z)) (*.f64 y z))))))
38.9%
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 z (+.f64 y x))))
3.3%
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 z x)))
37.6%
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 y z)))
31.9%
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 y x)))
46.1%
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 x (+.f64 y (fma.f64 y (/.f64 z x) z)))))
51.3%
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 x (+.f64 y (+.f64 z (/.f64 (*.f64 y z) x))))))
33.0%
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 x (+.f64 y z))))
63.8%
(*.f64 #s(literal 2 binary64) (exp.f64 (*.f64 (log.f64 (+.f64 (*.f64 x y) (*.f64 z (+.f64 x y)))) #s(literal 1/2 binary64))))
45.7%
(*.f64 #s(literal 2 binary64) (cbrt.f64 (pow.f64 (+.f64 (*.f64 x y) (*.f64 z (+.f64 x y))) #s(literal 3/2 binary64))))
Compiler

Compiled 1066 to 598 computations (43.9% saved)

localize272.0ms (1.9%)

Localize:

Found 14 expressions with local error:

NewAccuracyProgram
99.9%
(/.f64 #s(literal 1 binary64) (*.f64 y z))
92.2%
(*.f64 (*.f64 x (+.f64 y z)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 y z))))
84.8%
(sqrt.f64 (*.f64 y z))
84.1%
(sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 y z)))
97.8%
(*.f64 y (*.f64 (+.f64 x z) (*.f64 y (+.f64 x z))))
85.7%
(-.f64 (*.f64 y (*.f64 (+.f64 x z) (*.f64 y (+.f64 x z)))) (*.f64 (*.f64 x z) (*.f64 y (+.f64 x z))))
85.6%
(sqrt.f64 (/.f64 (+.f64 (*.f64 (*.f64 x z) (*.f64 (*.f64 x z) (*.f64 x z))) (*.f64 (*.f64 y (+.f64 x z)) (*.f64 y (*.f64 (+.f64 x z) (*.f64 y (+.f64 x z)))))) (+.f64 (*.f64 (*.f64 x z) (*.f64 x z)) (-.f64 (*.f64 y (*.f64 (+.f64 x z) (*.f64 y (+.f64 x z)))) (*.f64 (*.f64 x z) (*.f64 y (+.f64 x z)))))))
67.0%
(/.f64 (+.f64 (*.f64 (*.f64 x z) (*.f64 (*.f64 x z) (*.f64 x z))) (*.f64 (*.f64 y (+.f64 x z)) (*.f64 y (*.f64 (+.f64 x z) (*.f64 y (+.f64 x z)))))) (+.f64 (*.f64 (*.f64 x z) (*.f64 x z)) (-.f64 (*.f64 y (*.f64 (+.f64 x z) (*.f64 y (+.f64 x z)))) (*.f64 (*.f64 x z) (*.f64 y (+.f64 x z))))))
100.0%
(+.f64 z (/.f64 (*.f64 y z) x))
94.9%
(/.f64 (*.f64 y z) x)
90.4%
(*.f64 x (+.f64 y (+.f64 z (/.f64 (*.f64 y z) x))))
85.6%
(sqrt.f64 (*.f64 x (+.f64 y (+.f64 z (/.f64 (*.f64 y z) x)))))
84.2%
(sqrt.f64 (*.f64 y x))
85.6%
(sqrt.f64 (fma.f64 z y (*.f64 x (+.f64 y z))))
Results
84.0ms134×256invalid
101.0ms122×256valid
Compiler

Compiled 562 to 77 computations (86.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 128.0ms
ival-mult: 43.0ms (33.6% of total)
ival-add: 41.0ms (32.1% of total)
ival-sqrt: 18.0ms (14.1% of total)
ival-div: 15.0ms (11.7% of total)
ival-sub: 5.0ms (3.9% of total)
composed: 3.0ms (2.3% of total)
const: 3.0ms (2.3% of total)

series332.0ms (2.4%)

Counts
14 → 340
Calls
Call 1
Inputs
#<alt (sqrt.f64 (fma.f64 z y (*.f64 x (+.f64 y z))))>
#<alt (sqrt.f64 (*.f64 y x))>
#<alt (sqrt.f64 (*.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 (*.f64 y z) x)>
#<alt (+.f64 z (/.f64 (*.f64 y z) x))>
#<alt (/.f64 (+.f64 (*.f64 (*.f64 x z) (*.f64 (*.f64 x z) (*.f64 x z))) (*.f64 (*.f64 y (+.f64 x z)) (*.f64 y (*.f64 (+.f64 x z) (*.f64 y (+.f64 x z)))))) (+.f64 (*.f64 (*.f64 x z) (*.f64 x z)) (-.f64 (*.f64 y (*.f64 (+.f64 x z) (*.f64 y (+.f64 x z)))) (*.f64 (*.f64 x z) (*.f64 y (+.f64 x z))))))>
#<alt (sqrt.f64 (/.f64 (+.f64 (*.f64 (*.f64 x z) (*.f64 (*.f64 x z) (*.f64 x z))) (*.f64 (*.f64 y (+.f64 x z)) (*.f64 y (*.f64 (+.f64 x z) (*.f64 y (+.f64 x z)))))) (+.f64 (*.f64 (*.f64 x z) (*.f64 x z)) (-.f64 (*.f64 y (*.f64 (+.f64 x z) (*.f64 y (+.f64 x z)))) (*.f64 (*.f64 x z) (*.f64 y (+.f64 x z)))))))>
#<alt (-.f64 (*.f64 y (*.f64 (+.f64 x z) (*.f64 y (+.f64 x z)))) (*.f64 (*.f64 x z) (*.f64 y (+.f64 x z))))>
#<alt (*.f64 y (*.f64 (+.f64 x z) (*.f64 y (+.f64 x z))))>
#<alt (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 y z)))>
#<alt (sqrt.f64 (*.f64 y z))>
#<alt (*.f64 (*.f64 x (+.f64 y z)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 y z))))>
#<alt (/.f64 #s(literal 1 binary64) (*.f64 y z))>
Outputs
#<alt (sqrt.f64 (*.f64 x y))>
#<alt (+.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)))))>
#<alt (+.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))))))>
#<alt (+.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))))))))))>
#<alt (sqrt.f64 (*.f64 z (+.f64 x y)))>
#<alt (*.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))))))))>
#<alt (*.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)))))))))>
#<alt (*.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))))))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1 binary64) y)))) (sqrt.f64 #s(literal -1 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x (*.f64 y (sqrt.f64 #s(literal -1 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 z #s(literal 3 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1 binary64) y))))))) (*.f64 (sqrt.f64 (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1 binary64) y)) z)) (sqrt.f64 #s(literal -1 binary64))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 (pow.f64 y #s(literal 2 binary64)) (sqrt.f64 #s(literal -1 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 z #s(literal 5 binary64)) (pow.f64 (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1 binary64) y)) #s(literal 3 binary64))))))) (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x (*.f64 y (sqrt.f64 #s(literal -1 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 z #s(literal 3 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1 binary64) y))))))) (*.f64 (sqrt.f64 (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1 binary64) y)) z)) (sqrt.f64 #s(literal -1 binary64)))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 (pow.f64 y #s(literal 2 binary64)) (sqrt.f64 #s(literal -1 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 z #s(literal 5 binary64)) (pow.f64 (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1 binary64) y)) #s(literal 3 binary64))))))) (+.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (*.f64 (pow.f64 y #s(literal 3 binary64)) (sqrt.f64 #s(literal -1 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 z #s(literal 7 binary64)) (pow.f64 (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1 binary64) y)) #s(literal 5 binary64))))))) (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x (*.f64 y (sqrt.f64 #s(literal -1 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 z #s(literal 3 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1 binary64) y))))))) (*.f64 (sqrt.f64 (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1 binary64) y)) z)) (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)))))))))>
#<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 (*.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))))))))))>
#<alt (*.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))))>
#<alt (*.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))))))>
#<alt (*.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)))))))>
#<alt (*.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))))))))>
#<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)))>
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#<alt (*.f64 x z)>
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#<alt (*.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 (+.f64 x z) #s(literal 2 binary64)))>
#<alt (*.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 (+.f64 x z) #s(literal 2 binary64)))>
#<alt (*.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 (+.f64 x z) #s(literal 2 binary64)))>
#<alt (*.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 (+.f64 x z) #s(literal 2 binary64)))>
#<alt (*.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 (+.f64 x z) #s(literal 2 binary64)))>
#<alt (*.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 (+.f64 x z) #s(literal 2 binary64)))>
#<alt (*.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 (+.f64 x z) #s(literal 2 binary64)))>
#<alt (*.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 (+.f64 x z) #s(literal 2 binary64)))>
#<alt (*.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))>
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#<alt (*.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))>
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#<alt (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 y z))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))>
#<alt (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 y z))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))>
#<alt (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 y z))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))>
#<alt (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 y z))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))>
#<alt (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 y z))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))>
#<alt (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 y z))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))>
#<alt (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 y z))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))>
#<alt (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 y z))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 (*.f64 y z)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 (*.f64 y z)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 (*.f64 y z)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 (*.f64 y z)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 (*.f64 y z)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 (*.f64 y z)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 (*.f64 y z)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 (*.f64 y z)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))>
#<alt (*.f64 x (sqrt.f64 (/.f64 z y)))>
#<alt (/.f64 (+.f64 (*.f64 x (sqrt.f64 (*.f64 y z))) (*.f64 x (sqrt.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) z)))) y)>
#<alt (/.f64 (+.f64 (*.f64 x (sqrt.f64 (*.f64 y z))) (*.f64 x (sqrt.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) z)))) y)>
#<alt (/.f64 (+.f64 (*.f64 x (sqrt.f64 (*.f64 y z))) (*.f64 x (sqrt.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) z)))) y)>
#<alt (*.f64 x (sqrt.f64 (/.f64 y z)))>
#<alt (*.f64 y (+.f64 (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 y z)))) (*.f64 x (sqrt.f64 (/.f64 z (pow.f64 y #s(literal 3 binary64)))))))>
#<alt (*.f64 y (+.f64 (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 y z)))) (*.f64 x (sqrt.f64 (/.f64 z (pow.f64 y #s(literal 3 binary64)))))))>
#<alt (*.f64 y (+.f64 (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 y z)))) (*.f64 x (sqrt.f64 (/.f64 z (pow.f64 y #s(literal 3 binary64)))))))>
#<alt (*.f64 (*.f64 x (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (sqrt.f64 (/.f64 y z)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 (*.f64 x (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 y z))))) (*.f64 #s(literal -1 binary64) (*.f64 (*.f64 x (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (sqrt.f64 (/.f64 z (pow.f64 y #s(literal 3 binary64)))))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 (*.f64 x (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 y z))))) (*.f64 #s(literal -1 binary64) (*.f64 (*.f64 x (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (sqrt.f64 (/.f64 z (pow.f64 y #s(literal 3 binary64)))))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 (*.f64 x (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 y z))))) (*.f64 #s(literal -1 binary64) (*.f64 (*.f64 x (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (sqrt.f64 (/.f64 z (pow.f64 y #s(literal 3 binary64)))))))))>
#<alt (*.f64 x (sqrt.f64 (/.f64 y z)))>
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#<alt (*.f64 x (sqrt.f64 (/.f64 z y)))>
#<alt (*.f64 z (+.f64 (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 y z)))) (*.f64 x (sqrt.f64 (/.f64 y (pow.f64 z #s(literal 3 binary64)))))))>
#<alt (*.f64 z (+.f64 (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 y z)))) (*.f64 x (sqrt.f64 (/.f64 y (pow.f64 z #s(literal 3 binary64)))))))>
#<alt (*.f64 z (+.f64 (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 y z)))) (*.f64 x (sqrt.f64 (/.f64 y (pow.f64 z #s(literal 3 binary64)))))))>
#<alt (*.f64 (*.f64 x (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (sqrt.f64 (/.f64 z y)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 (*.f64 x (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 y z))))) (*.f64 #s(literal -1 binary64) (*.f64 (*.f64 x (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (sqrt.f64 (/.f64 y (pow.f64 z #s(literal 3 binary64)))))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 (*.f64 x (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 y z))))) (*.f64 #s(literal -1 binary64) (*.f64 (*.f64 x (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (sqrt.f64 (/.f64 y (pow.f64 z #s(literal 3 binary64)))))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 (*.f64 x (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 y z))))) (*.f64 #s(literal -1 binary64) (*.f64 (*.f64 x (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (sqrt.f64 (/.f64 y (pow.f64 z #s(literal 3 binary64)))))))))>
Calls

114 calls:

TimeVariablePointExpression
166.0ms
y
@inf
(/ (+ (* (* x z) (* (* x z) (* x z))) (* (* y (+ x z)) (* y (* (+ x z) (* y (+ x z)))))) (+ (* (* x z) (* x z)) (- (* y (* (+ x z) (* y (+ x z)))) (* (* x z) (* y (+ x z))))))
8.0ms
z
@-inf
(sqrt (/ (+ (* (* x z) (* (* x z) (* x z))) (* (* y (+ x z)) (* y (* (+ x z) (* y (+ x z)))))) (+ (* (* x z) (* x z)) (- (* y (* (+ x z) (* y (+ x z)))) (* (* x z) (* y (+ x z)))))))
8.0ms
x
@-inf
(sqrt (/ (+ (* (* x z) (* (* x z) (* x z))) (* (* y (+ x z)) (* y (* (+ x z) (* y (+ x z)))))) (+ (* (* x z) (* x z)) (- (* y (* (+ x z) (* y (+ x z)))) (* (* x z) (* y (+ x z)))))))
7.0ms
z
@inf
(/ (+ (* (* x z) (* (* x z) (* x z))) (* (* y (+ x z)) (* y (* (+ x z) (* y (+ x z)))))) (+ (* (* x z) (* x z)) (- (* y (* (+ x z) (* y (+ x z)))) (* (* x z) (* y (+ x z))))))
6.0ms
y
@-inf
(/ (+ (* (* x z) (* (* x z) (* x z))) (* (* y (+ x z)) (* y (* (+ x z) (* y (+ x z)))))) (+ (* (* x z) (* x z)) (- (* y (* (+ x z) (* y (+ x z)))) (* (* x z) (* y (+ x z))))))

rewrite182.0ms (1.3%)

Algorithm
batch-egg-rewrite
Rules
355×log1p-expm1-u
355×expm1-log1p-u
353×add-cube-cbrt
349×add-exp-log
349×add-log-exp
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
042914
1807712
Stop Event
node limit
Counts
14 → 368
Calls
Call 1
Inputs
(sqrt.f64 (fma.f64 z y (*.f64 x (+.f64 y z))))
(sqrt.f64 (*.f64 y x))
(sqrt.f64 (*.f64 x (+.f64 y (+.f64 z (/.f64 (*.f64 y z) x)))))
(*.f64 x (+.f64 y (+.f64 z (/.f64 (*.f64 y z) x))))
(/.f64 (*.f64 y z) x)
(+.f64 z (/.f64 (*.f64 y z) x))
(/.f64 (+.f64 (*.f64 (*.f64 x z) (*.f64 (*.f64 x z) (*.f64 x z))) (*.f64 (*.f64 y (+.f64 x z)) (*.f64 y (*.f64 (+.f64 x z) (*.f64 y (+.f64 x z)))))) (+.f64 (*.f64 (*.f64 x z) (*.f64 x z)) (-.f64 (*.f64 y (*.f64 (+.f64 x z) (*.f64 y (+.f64 x z)))) (*.f64 (*.f64 x z) (*.f64 y (+.f64 x z))))))
(sqrt.f64 (/.f64 (+.f64 (*.f64 (*.f64 x z) (*.f64 (*.f64 x z) (*.f64 x z))) (*.f64 (*.f64 y (+.f64 x z)) (*.f64 y (*.f64 (+.f64 x z) (*.f64 y (+.f64 x z)))))) (+.f64 (*.f64 (*.f64 x z) (*.f64 x z)) (-.f64 (*.f64 y (*.f64 (+.f64 x z) (*.f64 y (+.f64 x z)))) (*.f64 (*.f64 x z) (*.f64 y (+.f64 x z)))))))
(-.f64 (*.f64 y (*.f64 (+.f64 x z) (*.f64 y (+.f64 x z)))) (*.f64 (*.f64 x z) (*.f64 y (+.f64 x z))))
(*.f64 y (*.f64 (+.f64 x z) (*.f64 y (+.f64 x z))))
(sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 y z)))
(sqrt.f64 (*.f64 y z))
(*.f64 (*.f64 x (+.f64 y z)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 y z))))
(/.f64 #s(literal 1 binary64) (*.f64 y z))
Outputs
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (+.f64 (*.f64 z y) (*.f64 x (+.f64 z y))) #s(literal 1/2 binary64)))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (pow.f64 (+.f64 (*.f64 z y) (*.f64 x (+.f64 z y))) #s(literal 1/2 binary64)))
(*.f64 (cbrt.f64 (+.f64 (*.f64 z y) (*.f64 x (+.f64 z y)))) (cbrt.f64 (pow.f64 (+.f64 (*.f64 z y) (*.f64 x (+.f64 z y))) #s(literal 1/2 binary64))))
(*.f64 (pow.f64 (+.f64 (*.f64 z y) (*.f64 x (+.f64 z y))) #s(literal 1/4 binary64)) (pow.f64 (+.f64 (*.f64 z y) (*.f64 x (+.f64 z y))) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/2 binary64)) (pow.f64 (+.f64 (*.f64 z y) (*.f64 x (+.f64 z y))) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 (+.f64 (*.f64 z y) (*.f64 x (+.f64 z y))) (+.f64 (*.f64 z y) (*.f64 x (+.f64 z y))))) #s(literal 1/2 binary64)) (pow.f64 (cbrt.f64 (+.f64 (*.f64 z y) (*.f64 x (+.f64 z y)))) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 (cbrt.f64 (*.f64 (+.f64 (*.f64 z y) (*.f64 x (+.f64 z y))) (+.f64 (*.f64 z y) (*.f64 x (+.f64 z y)))))) (sqrt.f64 (cbrt.f64 (+.f64 (*.f64 z y) (*.f64 x (+.f64 z y))))))
(pow.f64 (+.f64 (*.f64 z y) (*.f64 x (+.f64 z y))) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (+.f64 (*.f64 z y) (*.f64 x (+.f64 z y))) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (pow.f64 (+.f64 (*.f64 z y) (*.f64 x (+.f64 z y))) #s(literal 1/2 binary64))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (+.f64 (*.f64 z y) (*.f64 x (+.f64 z y))) #s(literal 3/2 binary64)) #s(literal 1/3 binary64))
(pow.f64 (pow.f64 (+.f64 (*.f64 z y) (*.f64 x (+.f64 z y))) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(sqrt.f64 (+.f64 (*.f64 z y) (*.f64 x (+.f64 z y))))
(log.f64 (exp.f64 (pow.f64 (+.f64 (*.f64 z y) (*.f64 x (+.f64 z y))) #s(literal 1/2 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (pow.f64 (+.f64 (*.f64 z y) (*.f64 x (+.f64 z y))) #s(literal 1/2 binary64)))))
(cbrt.f64 (pow.f64 (+.f64 (*.f64 z y) (*.f64 x (+.f64 z y))) #s(literal 3/2 binary64)))
(expm1.f64 (log1p.f64 (pow.f64 (+.f64 (*.f64 z y) (*.f64 x (+.f64 z y))) #s(literal 1/2 binary64))))
(hypot.f64 (pow.f64 (*.f64 z y) #s(literal 1/2 binary64)) (pow.f64 (*.f64 x (+.f64 z y)) #s(literal 1/2 binary64)))
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(*.f64 (cbrt.f64 (pow.f64 (*.f64 y (*.f64 (+.f64 z x) (*.f64 y (+.f64 z x)))) #s(literal 2 binary64))) (pow.f64 (*.f64 (cbrt.f64 (+.f64 z x)) (cbrt.f64 y)) #s(literal 2 binary64)))
(pow.f64 (*.f64 y (+.f64 z x)) #s(literal 2 binary64))
(pow.f64 (*.f64 y (*.f64 (+.f64 z x) (*.f64 y (+.f64 z x)))) #s(literal 1 binary64))
(pow.f64 (pow.f64 (*.f64 (cbrt.f64 (+.f64 z x)) (cbrt.f64 y)) #s(literal 2 binary64)) #s(literal 3 binary64))
(pow.f64 (*.f64 (pow.f64 (*.f64 (+.f64 z x) (*.f64 y (+.f64 z x))) #s(literal 3 binary64)) (*.f64 y (*.f64 y y))) #s(literal 1/3 binary64))
(log.f64 (exp.f64 (*.f64 y (*.f64 (+.f64 z x) (*.f64 y (+.f64 z x))))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 y (*.f64 (+.f64 z x) (*.f64 y (+.f64 z x)))))))
(cbrt.f64 (*.f64 (pow.f64 (*.f64 (+.f64 z x) (*.f64 y (+.f64 z x))) #s(literal 3 binary64)) (*.f64 y (*.f64 y y))))
(expm1.f64 (log1p.f64 (*.f64 y (*.f64 (+.f64 z x) (*.f64 y (+.f64 z x))))))
(log1p.f64 (expm1.f64 (*.f64 y (*.f64 (+.f64 z x) (*.f64 y (+.f64 z x))))))
(exp.f64 (log.f64 (*.f64 y (*.f64 (+.f64 z x) (*.f64 y (+.f64 z x))))))
(exp.f64 (*.f64 (log.f64 (*.f64 y (*.f64 (+.f64 z x) (*.f64 y (+.f64 z x))))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (*.f64 z y) #s(literal -1/2 binary64)))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (pow.f64 (*.f64 z y) #s(literal -1/2 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 (*.f64 z y))) (cbrt.f64 (pow.f64 (*.f64 z y) #s(literal -1/2 binary64))))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (*.f64 z y) #s(literal 1/4 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (*.f64 z y) #s(literal 1/4 binary64))))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/2 binary64)) (pow.f64 (*.f64 z y) #s(literal -1/2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 z y)) (/.f64 #s(literal 1 binary64) (*.f64 z y)))) #s(literal 1/2 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 (*.f64 z y))) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 (cbrt.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 z y)) (/.f64 #s(literal 1 binary64) (*.f64 z y))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 (*.f64 z y)))))
(/.f64 #s(literal 1 binary64) (pow.f64 (*.f64 z y) #s(literal 1/2 binary64)))
(/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 (*.f64 z y) #s(literal 1 binary64))))
(/.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (neg.f64 (*.f64 z y))))
(/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (pow.f64 z #s(literal 1/2 binary64)))
(pow.f64 (*.f64 z y) #s(literal -1/2 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 z y)) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (*.f64 z y) #s(literal -1/2 binary64)) #s(literal 1 binary64))
(pow.f64 (pow.f64 (*.f64 z y) #s(literal 1/2 binary64)) #s(literal -1 binary64))
(pow.f64 (cbrt.f64 (pow.f64 (*.f64 z y) #s(literal -1/2 binary64))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 z y)) #s(literal 3/2 binary64)) #s(literal 1/3 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (*.f64 z y) #s(literal 1/4 binary64))) #s(literal 2 binary64))
(sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 z y)))
(log.f64 (exp.f64 (pow.f64 (*.f64 z y) #s(literal -1/2 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (pow.f64 (*.f64 z y) #s(literal -1/2 binary64)))))
(cbrt.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 z y)) #s(literal 3/2 binary64)))
(expm1.f64 (log1p.f64 (pow.f64 (*.f64 z y) #s(literal -1/2 binary64))))
(log1p.f64 (expm1.f64 (pow.f64 (*.f64 z y) #s(literal -1/2 binary64))))
(exp.f64 (-.f64 #s(literal 0 binary64) (*.f64 #s(literal 1/2 binary64) (log.f64 (*.f64 z y)))))
(exp.f64 (*.f64 (-.f64 #s(literal 0 binary64) (log.f64 (*.f64 z y))) #s(literal 1/2 binary64)))
(exp.f64 (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 #s(literal 1/2 binary64) (log.f64 (*.f64 z y)))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (*.f64 z y) #s(literal 1/2 binary64)))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (pow.f64 (*.f64 z y) #s(literal 1/2 binary64)))
(*.f64 (cbrt.f64 (*.f64 z y)) (cbrt.f64 (pow.f64 (*.f64 z y) #s(literal 1/2 binary64))))
(*.f64 (pow.f64 y #s(literal 1/2 binary64)) (pow.f64 z #s(literal 1/2 binary64)))
(*.f64 (pow.f64 z #s(literal 1/2 binary64)) (pow.f64 y #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (*.f64 z y) #s(literal 1/4 binary64)) (pow.f64 (*.f64 z y) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/2 binary64)) (pow.f64 (*.f64 z y) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 (*.f64 z y) (*.f64 z y))) #s(literal 1/2 binary64)) (pow.f64 (cbrt.f64 (*.f64 z y)) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 (cbrt.f64 (*.f64 (*.f64 z y) (*.f64 z y)))) (sqrt.f64 (cbrt.f64 (*.f64 z y))))
(pow.f64 (*.f64 z y) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (*.f64 z y) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (pow.f64 (*.f64 z y) #s(literal 1/2 binary64))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 z y) #s(literal 3/2 binary64)) #s(literal 1/3 binary64))
(pow.f64 (pow.f64 (*.f64 z y) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(sqrt.f64 (*.f64 z y))
(log.f64 (exp.f64 (pow.f64 (*.f64 z y) #s(literal 1/2 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (pow.f64 (*.f64 z y) #s(literal 1/2 binary64)))))
(cbrt.f64 (pow.f64 (*.f64 z y) #s(literal 3/2 binary64)))
(expm1.f64 (log1p.f64 (pow.f64 (*.f64 z y) #s(literal 1/2 binary64))))
(log1p.f64 (expm1.f64 (pow.f64 (*.f64 z y) #s(literal 1/2 binary64))))
(exp.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (*.f64 z y))))
(exp.f64 (*.f64 (log.f64 (*.f64 z y)) #s(literal 1/2 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (*.f64 z y))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x (*.f64 (+.f64 z y) (pow.f64 (*.f64 z y) #s(literal -1/2 binary64)))))) #s(literal 1 binary64))
(*.f64 x (*.f64 (+.f64 z y) (pow.f64 (*.f64 z y) #s(literal -1/2 binary64))))
(*.f64 (*.f64 x (+.f64 z y)) (pow.f64 (*.f64 z y) #s(literal -1/2 binary64)))
(*.f64 #s(literal 1 binary64) (*.f64 x (*.f64 (+.f64 z y) (pow.f64 (*.f64 z y) #s(literal -1/2 binary64)))))
(*.f64 (pow.f64 (*.f64 z y) #s(literal -1/2 binary64)) (*.f64 x (+.f64 z y)))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 x (*.f64 (+.f64 z y) (pow.f64 (*.f64 z y) #s(literal -1/2 binary64))))) #s(literal 2 binary64)) (cbrt.f64 (*.f64 x (*.f64 (+.f64 z y) (pow.f64 (*.f64 z y) #s(literal -1/2 binary64))))))
(*.f64 (pow.f64 (*.f64 x (*.f64 (+.f64 z y) (pow.f64 (*.f64 z y) #s(literal -1/2 binary64)))) #s(literal 1/2 binary64)) (pow.f64 (*.f64 x (*.f64 (+.f64 z y) (pow.f64 (*.f64 z y) #s(literal -1/2 binary64)))) #s(literal 1/2 binary64)))
(pow.f64 (*.f64 x (*.f64 (+.f64 z y) (pow.f64 (*.f64 z y) #s(literal -1/2 binary64)))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 x (*.f64 (+.f64 z y) (pow.f64 (*.f64 z y) #s(literal -1/2 binary64))))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 x (*.f64 (+.f64 z y) (pow.f64 (*.f64 z y) #s(literal -1/2 binary64)))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (pow.f64 (*.f64 x (*.f64 (+.f64 z y) (pow.f64 (*.f64 z y) #s(literal -1/2 binary64)))) #s(literal 1/2 binary64)) #s(literal 2 binary64))
(log.f64 (exp.f64 (*.f64 x (*.f64 (+.f64 z y) (pow.f64 (*.f64 z y) #s(literal -1/2 binary64))))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x (*.f64 (+.f64 z y) (pow.f64 (*.f64 z y) #s(literal -1/2 binary64)))))))
(cbrt.f64 (pow.f64 (*.f64 x (*.f64 (+.f64 z y) (pow.f64 (*.f64 z y) #s(literal -1/2 binary64)))) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (*.f64 (*.f64 (*.f64 x (+.f64 z y)) (*.f64 x (+.f64 z y))) (*.f64 x (+.f64 z y))) (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 z y)) #s(literal 3/2 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 z y)) #s(literal 3/2 binary64)) (*.f64 (*.f64 (*.f64 x (+.f64 z y)) (*.f64 x (+.f64 z y))) (*.f64 x (+.f64 z y)))))
(expm1.f64 (log1p.f64 (*.f64 x (*.f64 (+.f64 z y) (pow.f64 (*.f64 z y) #s(literal -1/2 binary64))))))
(log1p.f64 (expm1.f64 (*.f64 x (*.f64 (+.f64 z y) (pow.f64 (*.f64 z y) #s(literal -1/2 binary64))))))
(exp.f64 (log.f64 (*.f64 x (*.f64 (+.f64 z y) (pow.f64 (*.f64 z y) #s(literal -1/2 binary64))))))
(exp.f64 (*.f64 (log.f64 (*.f64 x (*.f64 (+.f64 z y) (pow.f64 (*.f64 z y) #s(literal -1/2 binary64))))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 #s(literal 1 binary64) (*.f64 z y)))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 z y)))
(*.f64 (pow.f64 (*.f64 z y) #s(literal -1/2 binary64)) (pow.f64 (*.f64 z y) #s(literal -1/2 binary64)))
(*.f64 (cbrt.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 z y)) (/.f64 #s(literal 1 binary64) (*.f64 z y)))) (/.f64 #s(literal 1 binary64) (cbrt.f64 (*.f64 z y))))
(*.f64 (/.f64 #s(literal 1 binary64) y) (pow.f64 z #s(literal -1 binary64)))
(*.f64 (pow.f64 z #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) y))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 (*.f64 z y) (*.f64 z y))) #s(literal -1 binary64)) (pow.f64 (cbrt.f64 (*.f64 z y)) #s(literal -1 binary64)))
(/.f64 #s(literal 1 binary64) (*.f64 z y))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 z y) #s(literal 1 binary64)))
(/.f64 #s(literal -1 binary64) (neg.f64 (*.f64 z y)))
(/.f64 (/.f64 #s(literal 1 binary64) y) z)
(pow.f64 (*.f64 z y) #s(literal -1 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 z y)) #s(literal 1 binary64))
(pow.f64 (pow.f64 (*.f64 z y) #s(literal -1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 (*.f64 z y))) #s(literal 3 binary64))
(pow.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 z y)) (/.f64 #s(literal 1 binary64) (*.f64 z y))) #s(literal 1/2 binary64))
(pow.f64 (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 z y)) (/.f64 #s(literal 1 binary64) (*.f64 z y))) (/.f64 #s(literal 1 binary64) (*.f64 z y))) #s(literal 1/3 binary64))
(pow.f64 (/.f64 (*.f64 z y) #s(literal 1 binary64)) #s(literal -1 binary64))
(log.f64 (exp.f64 (/.f64 #s(literal 1 binary64) (*.f64 z y))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 #s(literal 1 binary64) (*.f64 z y)))))
(cbrt.f64 (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 z y)) (/.f64 #s(literal 1 binary64) (*.f64 z y))) (/.f64 #s(literal 1 binary64) (*.f64 z y))))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 z y)) #s(literal 3/2 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 z y)) #s(literal 3/2 binary64))))
(expm1.f64 (log1p.f64 (/.f64 #s(literal 1 binary64) (*.f64 z y))))
(log1p.f64 (expm1.f64 (/.f64 #s(literal 1 binary64) (*.f64 z y))))
(exp.f64 (-.f64 #s(literal 0 binary64) (log.f64 (*.f64 z y))))
(exp.f64 (*.f64 (log.f64 (*.f64 z y)) #s(literal -1 binary64)))
(exp.f64 (*.f64 (-.f64 #s(literal 0 binary64) (log.f64 (*.f64 z y))) #s(literal 1 binary64)))

simplify408.0ms (2.9%)

Algorithm
egg-herbie
Rules
782×*-commutative
531×times-frac
355×+-commutative
259×associate-*r*
200×fma-define
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0215189847
1675787548
Stop Event
node limit
Counts
708 → 810
Calls
Call 1
Inputs
(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 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1 binary64) y)))) (sqrt.f64 #s(literal -1 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x (*.f64 y (sqrt.f64 #s(literal -1 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 z #s(literal 3 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1 binary64) y))))))) (*.f64 (sqrt.f64 (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1 binary64) y)) z)) (sqrt.f64 #s(literal -1 binary64))))))
(*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 (pow.f64 y #s(literal 2 binary64)) (sqrt.f64 #s(literal -1 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 z #s(literal 5 binary64)) (pow.f64 (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1 binary64) y)) #s(literal 3 binary64))))))) (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x (*.f64 y (sqrt.f64 #s(literal -1 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 z #s(literal 3 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1 binary64) y))))))) (*.f64 (sqrt.f64 (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1 binary64) y)) z)) (sqrt.f64 #s(literal -1 binary64)))))))
(*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 (pow.f64 y #s(literal 2 binary64)) (sqrt.f64 #s(literal -1 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 z #s(literal 5 binary64)) (pow.f64 (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1 binary64) y)) #s(literal 3 binary64))))))) (+.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (*.f64 (pow.f64 y #s(literal 3 binary64)) (sqrt.f64 #s(literal -1 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 z #s(literal 7 binary64)) (pow.f64 (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1 binary64) y)) #s(literal 5 binary64))))))) (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x (*.f64 y (sqrt.f64 #s(literal -1 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 z #s(literal 3 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1 binary64) y))))))) (*.f64 (sqrt.f64 (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1 binary64) y)) z)) (sqrt.f64 #s(literal -1 binary64))))))))
(sqrt.f64 (*.f64 x z))
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(expm1.f64 (log1p.f64 (*.f64 x (*.f64 (+.f64 z y) (pow.f64 (*.f64 z y) #s(literal -1/2 binary64))))))
(log1p.f64 (expm1.f64 (*.f64 x (*.f64 (+.f64 z y) (pow.f64 (*.f64 z y) #s(literal -1/2 binary64))))))
(exp.f64 (log.f64 (*.f64 x (*.f64 (+.f64 z y) (pow.f64 (*.f64 z y) #s(literal -1/2 binary64))))))
(exp.f64 (*.f64 (log.f64 (*.f64 x (*.f64 (+.f64 z y) (pow.f64 (*.f64 z y) #s(literal -1/2 binary64))))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 #s(literal 1 binary64) (*.f64 z y)))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 z y)))
(*.f64 (pow.f64 (*.f64 z y) #s(literal -1/2 binary64)) (pow.f64 (*.f64 z y) #s(literal -1/2 binary64)))
(*.f64 (cbrt.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 z y)) (/.f64 #s(literal 1 binary64) (*.f64 z y)))) (/.f64 #s(literal 1 binary64) (cbrt.f64 (*.f64 z y))))
(*.f64 (/.f64 #s(literal 1 binary64) y) (pow.f64 z #s(literal -1 binary64)))
(*.f64 (pow.f64 z #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) y))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 (*.f64 z y) (*.f64 z y))) #s(literal -1 binary64)) (pow.f64 (cbrt.f64 (*.f64 z y)) #s(literal -1 binary64)))
(/.f64 #s(literal 1 binary64) (*.f64 z y))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 z y) #s(literal 1 binary64)))
(/.f64 #s(literal -1 binary64) (neg.f64 (*.f64 z y)))
(/.f64 (/.f64 #s(literal 1 binary64) y) z)
(pow.f64 (*.f64 z y) #s(literal -1 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 z y)) #s(literal 1 binary64))
(pow.f64 (pow.f64 (*.f64 z y) #s(literal -1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 (*.f64 z y))) #s(literal 3 binary64))
(pow.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 z y)) (/.f64 #s(literal 1 binary64) (*.f64 z y))) #s(literal 1/2 binary64))
(pow.f64 (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 z y)) (/.f64 #s(literal 1 binary64) (*.f64 z y))) (/.f64 #s(literal 1 binary64) (*.f64 z y))) #s(literal 1/3 binary64))
(pow.f64 (/.f64 (*.f64 z y) #s(literal 1 binary64)) #s(literal -1 binary64))
(log.f64 (exp.f64 (/.f64 #s(literal 1 binary64) (*.f64 z y))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 #s(literal 1 binary64) (*.f64 z y)))))
(cbrt.f64 (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 z y)) (/.f64 #s(literal 1 binary64) (*.f64 z y))) (/.f64 #s(literal 1 binary64) (*.f64 z y))))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 z y)) #s(literal 3/2 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 z y)) #s(literal 3/2 binary64))))
(expm1.f64 (log1p.f64 (/.f64 #s(literal 1 binary64) (*.f64 z y))))
(log1p.f64 (expm1.f64 (/.f64 #s(literal 1 binary64) (*.f64 z y))))
(exp.f64 (-.f64 #s(literal 0 binary64) (log.f64 (*.f64 z y))))
(exp.f64 (*.f64 (log.f64 (*.f64 z y)) #s(literal -1 binary64)))
(exp.f64 (*.f64 (-.f64 #s(literal 0 binary64) (log.f64 (*.f64 z y))) #s(literal 1 binary64)))
Outputs
(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 (*.f64 #s(literal 1/2 binary64) (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 (fma.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 (*.f64 #s(literal 1/2 binary64) (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))))))))))
(+.f64 (sqrt.f64 (*.f64 x y)) (*.f64 z (fma.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x y))) (+.f64 x y)) (*.f64 z (fma.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 1/2 binary64) (*.f64 x y)) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (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)) (fma.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 (*.f64 x y) (*.f64 x y)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (+.f64 x y) #s(literal 3 binary64)) (pow.f64 z #s(literal 5 binary64)))))) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x y)) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (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 z (+.f64 (sqrt.f64 (/.f64 (+.f64 x y) z)) (fma.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 (*.f64 x y) (*.f64 x y)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (+.f64 x y) #s(literal 3 binary64)) (pow.f64 z #s(literal 5 binary64)))))) (fma.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 (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 7 binary64))) (pow.f64 (+.f64 x y) #s(literal 5 binary64))))) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x y)) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 3 binary64))) (+.f64 x y))))))))
(*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1 binary64) y)))) (sqrt.f64 #s(literal -1 binary64))))
(neg.f64 (*.f64 (sqrt.f64 (*.f64 z (+.f64 (neg.f64 x) (neg.f64 y)))) (sqrt.f64 #s(literal -1 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x (*.f64 y (sqrt.f64 #s(literal -1 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 z #s(literal 3 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1 binary64) y))))))) (*.f64 (sqrt.f64 (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1 binary64) y)) z)) (sqrt.f64 #s(literal -1 binary64))))))
(*.f64 (neg.f64 z) (fma.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 (*.f64 y (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 3 binary64))) (+.f64 (neg.f64 x) (neg.f64 y)))))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 (+.f64 (neg.f64 x) (neg.f64 y)) z)))))
(*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 (pow.f64 y #s(literal 2 binary64)) (sqrt.f64 #s(literal -1 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 z #s(literal 5 binary64)) (pow.f64 (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1 binary64) y)) #s(literal 3 binary64))))))) (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x (*.f64 y (sqrt.f64 #s(literal -1 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 z #s(literal 3 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1 binary64) y))))))) (*.f64 (sqrt.f64 (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1 binary64) y)) z)) (sqrt.f64 #s(literal -1 binary64)))))))
(*.f64 (neg.f64 z) (fma.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 x x) (*.f64 (*.f64 (*.f64 y y) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 z #s(literal 5 binary64)) (*.f64 #s(literal -1 binary64) (pow.f64 (+.f64 x y) #s(literal 3 binary64)))))))) (fma.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 (*.f64 y (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 3 binary64))) (+.f64 (neg.f64 x) (neg.f64 y)))))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 (+.f64 (neg.f64 x) (neg.f64 y)) z))))))
(*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 (pow.f64 y #s(literal 2 binary64)) (sqrt.f64 #s(literal -1 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 z #s(literal 5 binary64)) (pow.f64 (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1 binary64) y)) #s(literal 3 binary64))))))) (+.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (*.f64 (pow.f64 y #s(literal 3 binary64)) (sqrt.f64 #s(literal -1 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 z #s(literal 7 binary64)) (pow.f64 (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1 binary64) y)) #s(literal 5 binary64))))))) (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x (*.f64 y (sqrt.f64 #s(literal -1 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 z #s(literal 3 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1 binary64) y))))))) (*.f64 (sqrt.f64 (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1 binary64) y)) z)) (sqrt.f64 #s(literal -1 binary64))))))))
(*.f64 (neg.f64 z) (fma.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 x x) (*.f64 (*.f64 (*.f64 y y) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 z #s(literal 5 binary64)) (*.f64 #s(literal -1 binary64) (pow.f64 (+.f64 x y) #s(literal 3 binary64)))))))) (fma.f64 #s(literal 1/16 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) (*.f64 (*.f64 (pow.f64 y #s(literal 3 binary64)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 7 binary64))) (pow.f64 (+.f64 (neg.f64 x) (neg.f64 y)) #s(literal 5 binary64)))))) (fma.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 (*.f64 y (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 3 binary64))) (+.f64 (neg.f64 x) (neg.f64 y)))))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 (+.f64 (neg.f64 x) (neg.f64 y)) z)))))))
(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 (fma.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))))))))))
(+.f64 (sqrt.f64 (*.f64 x z)) (*.f64 y (fma.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x z))) (+.f64 x z)) (*.f64 y (fma.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 (*.f64 #s(literal 1/16 binary64) (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)) (fma.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 x x) (*.f64 (*.f64 z z) (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 y (+.f64 (sqrt.f64 (/.f64 (+.f64 x z) y)) (fma.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 x x) (*.f64 (*.f64 z z) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 y #s(literal 5 binary64)) (pow.f64 (+.f64 x z) #s(literal 3 binary64))))))) (fma.f64 #s(literal 1/16 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) (*.f64 (pow.f64 z #s(literal 3 binary64)) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (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))))))))))
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(*.f64 x (*.f64 (+.f64 y z) (pow.f64 (*.f64 y z) #s(literal -1/2 binary64))))
(pow.f64 (pow.f64 (*.f64 x (*.f64 (+.f64 z y) (pow.f64 (*.f64 z y) #s(literal -1/2 binary64)))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(*.f64 x (*.f64 (+.f64 y z) (pow.f64 (*.f64 y z) #s(literal -1/2 binary64))))
(pow.f64 (pow.f64 (*.f64 x (*.f64 (+.f64 z y) (pow.f64 (*.f64 z y) #s(literal -1/2 binary64)))) #s(literal 1/2 binary64)) #s(literal 2 binary64))
(*.f64 x (*.f64 (+.f64 y z) (pow.f64 (*.f64 y z) #s(literal -1/2 binary64))))
(log.f64 (exp.f64 (*.f64 x (*.f64 (+.f64 z y) (pow.f64 (*.f64 z y) #s(literal -1/2 binary64))))))
(*.f64 x (*.f64 (+.f64 y z) (pow.f64 (*.f64 y z) #s(literal -1/2 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x (*.f64 (+.f64 z y) (pow.f64 (*.f64 z y) #s(literal -1/2 binary64)))))))
(*.f64 x (*.f64 (+.f64 y z) (pow.f64 (*.f64 y z) #s(literal -1/2 binary64))))
(cbrt.f64 (pow.f64 (*.f64 x (*.f64 (+.f64 z y) (pow.f64 (*.f64 z y) #s(literal -1/2 binary64)))) #s(literal 3 binary64)))
(*.f64 x (*.f64 (+.f64 y z) (pow.f64 (*.f64 y z) #s(literal -1/2 binary64))))
(cbrt.f64 (*.f64 (*.f64 (*.f64 (*.f64 x (+.f64 z y)) (*.f64 x (+.f64 z y))) (*.f64 x (+.f64 z y))) (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 z y)) #s(literal 3/2 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) z) y) #s(literal 3/2 binary64)) (pow.f64 (*.f64 x (+.f64 y z)) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 z y)) #s(literal 3/2 binary64)) (*.f64 (*.f64 (*.f64 x (+.f64 z y)) (*.f64 x (+.f64 z y))) (*.f64 x (+.f64 z y)))))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) z) y) #s(literal 3/2 binary64)) (pow.f64 (*.f64 x (+.f64 y z)) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 x (*.f64 (+.f64 z y) (pow.f64 (*.f64 z y) #s(literal -1/2 binary64))))))
(expm1.f64 (log1p.f64 (*.f64 x (*.f64 (+.f64 y z) (pow.f64 (*.f64 y z) #s(literal -1/2 binary64))))))
(log1p.f64 (expm1.f64 (*.f64 x (*.f64 (+.f64 z y) (pow.f64 (*.f64 z y) #s(literal -1/2 binary64))))))
(*.f64 x (*.f64 (+.f64 y z) (pow.f64 (*.f64 y z) #s(literal -1/2 binary64))))
(exp.f64 (log.f64 (*.f64 x (*.f64 (+.f64 z y) (pow.f64 (*.f64 z y) #s(literal -1/2 binary64))))))
(*.f64 x (*.f64 (+.f64 y z) (pow.f64 (*.f64 y z) #s(literal -1/2 binary64))))
(exp.f64 (*.f64 (log.f64 (*.f64 x (*.f64 (+.f64 z y) (pow.f64 (*.f64 z y) #s(literal -1/2 binary64))))) #s(literal 1 binary64)))
(*.f64 x (*.f64 (+.f64 y z) (pow.f64 (*.f64 y z) #s(literal -1/2 binary64))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 #s(literal 1 binary64) (*.f64 z y)))) #s(literal 1 binary64))
(expm1.f64 (log1p.f64 (/.f64 (/.f64 #s(literal 1 binary64) z) y)))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 z y)))
(/.f64 (/.f64 #s(literal 1 binary64) z) y)
(*.f64 (pow.f64 (*.f64 z y) #s(literal -1/2 binary64)) (pow.f64 (*.f64 z y) #s(literal -1/2 binary64)))
(/.f64 (/.f64 #s(literal 1 binary64) z) y)
(*.f64 (cbrt.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 z y)) (/.f64 #s(literal 1 binary64) (*.f64 z y)))) (/.f64 #s(literal 1 binary64) (cbrt.f64 (*.f64 z y))))
(*.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 (*.f64 y z))) (cbrt.f64 (pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) z) y) #s(literal 2 binary64))))
(*.f64 (/.f64 #s(literal 1 binary64) y) (pow.f64 z #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 1 binary64) z))
(*.f64 (pow.f64 z #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) y))
(*.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 1 binary64) z))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 (*.f64 z y) (*.f64 z y))) #s(literal -1 binary64)) (pow.f64 (cbrt.f64 (*.f64 z y)) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 (*.f64 y z))) (/.f64 #s(literal 1 binary64) (cbrt.f64 (*.f64 (*.f64 y z) (*.f64 y z)))))
(/.f64 #s(literal 1 binary64) (*.f64 z y))
(/.f64 (/.f64 #s(literal 1 binary64) z) y)
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 z y) #s(literal 1 binary64)))
(/.f64 (/.f64 #s(literal 1 binary64) z) y)
(/.f64 #s(literal -1 binary64) (neg.f64 (*.f64 z y)))
(/.f64 #s(literal -1 binary64) (*.f64 y (neg.f64 z)))
(/.f64 (/.f64 #s(literal 1 binary64) y) z)
(/.f64 (/.f64 #s(literal 1 binary64) z) y)
(pow.f64 (*.f64 z y) #s(literal -1 binary64))
(/.f64 (/.f64 #s(literal 1 binary64) z) y)
(pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 z y)) #s(literal 1 binary64))
(/.f64 (/.f64 #s(literal 1 binary64) z) y)
(pow.f64 (pow.f64 (*.f64 z y) #s(literal -1/2 binary64)) #s(literal 2 binary64))
(/.f64 (/.f64 #s(literal 1 binary64) z) y)
(pow.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 (*.f64 z y))) #s(literal 3 binary64))
(/.f64 (/.f64 #s(literal 1 binary64) z) y)
(pow.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 z y)) (/.f64 #s(literal 1 binary64) (*.f64 z y))) #s(literal 1/2 binary64))
(fabs.f64 (/.f64 (/.f64 #s(literal 1 binary64) z) y))
(pow.f64 (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 z y)) (/.f64 #s(literal 1 binary64) (*.f64 z y))) (/.f64 #s(literal 1 binary64) (*.f64 z y))) #s(literal 1/3 binary64))
(/.f64 (/.f64 #s(literal 1 binary64) z) y)
(pow.f64 (/.f64 (*.f64 z y) #s(literal 1 binary64)) #s(literal -1 binary64))
(/.f64 (/.f64 #s(literal 1 binary64) z) y)
(log.f64 (exp.f64 (/.f64 #s(literal 1 binary64) (*.f64 z y))))
(/.f64 (/.f64 #s(literal 1 binary64) z) y)
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 #s(literal 1 binary64) (*.f64 z y)))))
(/.f64 (/.f64 #s(literal 1 binary64) z) y)
(cbrt.f64 (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 z y)) (/.f64 #s(literal 1 binary64) (*.f64 z y))) (/.f64 #s(literal 1 binary64) (*.f64 z y))))
(/.f64 (/.f64 #s(literal 1 binary64) z) y)
(cbrt.f64 (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 z y)) #s(literal 3/2 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 z y)) #s(literal 3/2 binary64))))
(/.f64 (/.f64 #s(literal 1 binary64) z) y)
(expm1.f64 (log1p.f64 (/.f64 #s(literal 1 binary64) (*.f64 z y))))
(expm1.f64 (log1p.f64 (/.f64 (/.f64 #s(literal 1 binary64) z) y)))
(log1p.f64 (expm1.f64 (/.f64 #s(literal 1 binary64) (*.f64 z y))))
(/.f64 (/.f64 #s(literal 1 binary64) z) y)
(exp.f64 (-.f64 #s(literal 0 binary64) (log.f64 (*.f64 z y))))
(/.f64 (/.f64 #s(literal 1 binary64) z) y)
(exp.f64 (*.f64 (log.f64 (*.f64 z y)) #s(literal -1 binary64)))
(/.f64 (/.f64 #s(literal 1 binary64) z) y)
(exp.f64 (*.f64 (-.f64 #s(literal 0 binary64) (log.f64 (*.f64 z y))) #s(literal 1 binary64)))
(/.f64 (/.f64 #s(literal 1 binary64) z) y)

eval1.2s (8.7%)

Compiler

Compiled 91682 to 37209 computations (59.4% saved)

prune412.0ms (2.9%)

Pruning

27 alts after pruning (26 fresh and 1 done)

PrunedKeptTotal
New1595171612
Fresh8917
Picked415
Done000
Total1607271634
Accuracy
82.7%
Counts
1634 → 27
Alt Table
Click to see full alt table
StatusAccuracyProgram
31.7%
(*.f64 #s(literal 2 binary64) (pow.f64 (pow.f64 (*.f64 y x) #s(literal 1/4 binary64)) #s(literal 2 binary64)))
31.4%
(*.f64 #s(literal 2 binary64) (pow.f64 (cbrt.f64 (pow.f64 (*.f64 y x) #s(literal 1/2 binary64))) #s(literal 3 binary64)))
16.1%
(*.f64 #s(literal 2 binary64) (/.f64 (sqrt.f64 (-.f64 (*.f64 (*.f64 x (+.f64 y z)) (*.f64 x (+.f64 y z))) (*.f64 (*.f64 y z) (*.f64 y z)))) (sqrt.f64 (-.f64 (*.f64 x (+.f64 y z)) (*.f64 y z)))))
46.0%
(*.f64 #s(literal 2 binary64) (+.f64 (*.f64 (sqrt.f64 y) (sqrt.f64 z)) (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x (+.f64 y z)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 y z)))))))
32.1%
(*.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))))))
31.5%
(*.f64 #s(literal 2 binary64) (+.f64 (sqrt.f64 (*.f64 y z)) (*.f64 #s(literal 1/2 binary64) (*.f64 x (sqrt.f64 (/.f64 z y))))))
25.8%
(*.f64 #s(literal 2 binary64) (+.f64 (sqrt.f64 (*.f64 x y)) (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 x y)) (*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 y x)))))))
9.3%
(*.f64 #s(literal 2 binary64) (*.f64 (pow.f64 (+.f64 y (+.f64 z (*.f64 y (/.f64 z x)))) #s(literal 1/2 binary64)) (pow.f64 x #s(literal 1/2 binary64))))
1.4%
(*.f64 #s(literal 2 binary64) (*.f64 (sqrt.f64 y) (sqrt.f64 x)))
40.1%
(*.f64 #s(literal 2 binary64) (*.f64 z (+.f64 (sqrt.f64 (/.f64 (+.f64 x y) z)) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x y)) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 3 binary64))) (+.f64 x y)))))))
40.6%
(*.f64 #s(literal 2 binary64) (*.f64 z (+.f64 (sqrt.f64 (/.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 y x))) z)) (*.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 (/.f64 x (pow.f64 z #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (/.f64 y x))))) y))))
31.6%
(*.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 (-.f64 (*.f64 (*.f64 x z) (*.f64 x z)) (*.f64 y (*.f64 (+.f64 x z) (*.f64 y (+.f64 x z))))) (-.f64 (*.f64 x z) (*.f64 y (+.f64 x z))))))
12.8%
(*.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 (+.f64 (*.f64 (*.f64 x z) (*.f64 (*.f64 x z) (*.f64 x z))) (*.f64 (*.f64 y (+.f64 x z)) (*.f64 y (*.f64 (+.f64 x z) (*.f64 y (+.f64 x z)))))) (+.f64 (*.f64 (*.f64 x z) (*.f64 x z)) (*.f64 (*.f64 y z) (*.f64 y z))))))
49.1%
(*.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (/.f64 (*.f64 (*.f64 x (+.f64 y z)) (*.f64 x (-.f64 y z))) (*.f64 x (-.f64 y z))) (*.f64 y z))))
49.1%
(*.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (*.f64 (*.f64 (*.f64 x (+.f64 y z)) (*.f64 x (-.f64 y z))) (/.f64 #s(literal 1 binary64) (*.f64 x (-.f64 y z)))) (*.f64 y z))))
46.0%
(*.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (*.f64 x z) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 z x)))))))
36.2%
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 (-.f64 (*.f64 (*.f64 x (+.f64 y z)) (*.f64 x (+.f64 y z))) (*.f64 (*.f64 y z) (*.f64 y z))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x (+.f64 y z)) (*.f64 y z))))))
38.9%
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 z (+.f64 y x))))
3.3%
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 z x)))
37.6%
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 y z)))
31.9%
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 y x)))
51.3%
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 x (+.f64 y (+.f64 z (/.f64 #s(literal 1 binary64) (/.f64 x (*.f64 z y))))))))
33.0%
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 x (+.f64 y z))))
21.7%
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 x (*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 y x))))))
36.7%
(*.f64 #s(literal 2 binary64) (sqrt.f64 (neg.f64 (*.f64 (*.f64 x z) (+.f64 (/.f64 (neg.f64 y) x) #s(literal -1 binary64))))))
29.9%
(*.f64 #s(literal 2 binary64) (exp.f64 (*.f64 (log.f64 (*.f64 y x)) #s(literal 1/2 binary64))))
22.2%
(*.f64 #s(literal 2 binary64) (cbrt.f64 (pow.f64 (*.f64 y x) #s(literal 3/2 binary64))))
Compiler

Compiled 1115 to 691 computations (38% saved)

localize328.0ms (2.3%)

Localize:

Found 14 expressions with local error:

NewAccuracyProgram
100.0%
(+.f64 z (*.f64 y (/.f64 z x)))
99.1%
(*.f64 (pow.f64 (+.f64 y (+.f64 z (*.f64 y (/.f64 z x)))) #s(literal 1/2 binary64)) (pow.f64 x #s(literal 1/2 binary64)))
97.4%
(*.f64 y (/.f64 z x))
86.3%
(pow.f64 (+.f64 y (+.f64 z (*.f64 y (/.f64 z x)))) #s(literal 1/2 binary64))
99.9%
(*.f64 (sqrt.f64 y) (sqrt.f64 x))
100.0%
(+.f64 (*.f64 x z) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 z x)))))
97.4%
(*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 z x)))
93.0%
(sqrt.f64 (+.f64 (*.f64 x z) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 z x))))))
90.5%
(*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 z x))))
93.0%
(sqrt.f64 (*.f64 y z))
99.9%
(/.f64 #s(literal 1 binary64) (/.f64 x (*.f64 z y)))
97.8%
(/.f64 x (*.f64 z y))
93.0%
(sqrt.f64 (*.f64 x (+.f64 y (+.f64 z (/.f64 #s(literal 1 binary64) (/.f64 x (*.f64 z y)))))))
90.4%
(*.f64 x (+.f64 y (+.f64 z (/.f64 #s(literal 1 binary64) (/.f64 x (*.f64 z y))))))
Results
122.0ms188×256invalid
128.0ms68×256valid
Compiler

Compiled 272 to 100 computations (63.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 126.0ms
ival-mult: 50.0ms (39.7% of total)
ival-add: 24.0ms (19.1% of total)
ival-div: 19.0ms (15.1% of total)
ival-sqrt: 15.0ms (11.9% of total)
ival-pow: 15.0ms (11.9% of total)
const: 3.0ms (2.4% of total)

series85.0ms (0.6%)

Counts
13 → 429
Calls
Call 1
Inputs
#<alt (*.f64 x (+.f64 y (+.f64 z (/.f64 #s(literal 1 binary64) (/.f64 x (*.f64 z y))))))>
#<alt (sqrt.f64 (*.f64 x (+.f64 y (+.f64 z (/.f64 #s(literal 1 binary64) (/.f64 x (*.f64 z y)))))))>
#<alt (/.f64 x (*.f64 z y))>
#<alt (/.f64 #s(literal 1 binary64) (/.f64 x (*.f64 z y)))>
#<alt (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 z x))))>
#<alt (sqrt.f64 (+.f64 (*.f64 x z) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 z x))))))>
#<alt (*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 z x)))>
#<alt (+.f64 (*.f64 x z) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 z x)))))>
#<alt (*.f64 (sqrt.f64 y) (sqrt.f64 x))>
#<alt (pow.f64 (+.f64 y (+.f64 z (*.f64 y (/.f64 z x)))) #s(literal 1/2 binary64))>
#<alt (*.f64 y (/.f64 z x))>
#<alt (*.f64 (pow.f64 (+.f64 y (+.f64 z (*.f64 y (/.f64 z x)))) #s(literal 1/2 binary64)) (pow.f64 x #s(literal 1/2 binary64)))>
#<alt (+.f64 z (*.f64 y (/.f64 z x)))>
Outputs
#<alt (*.f64 y z)>
#<alt (+.f64 (*.f64 x (+.f64 y z)) (*.f64 y z))>
#<alt (+.f64 (*.f64 x (+.f64 y z)) (*.f64 y z))>
#<alt (+.f64 (*.f64 x (+.f64 y z)) (*.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 x (+.f64 y z))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) (+.f64 y 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) (+.f64 y 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) (+.f64 y z)) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 y z) x)))))>
#<alt (*.f64 x z)>
#<alt (+.f64 (*.f64 x z) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 z x)))))>
#<alt (+.f64 (*.f64 x z) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 z x)))))>
#<alt (+.f64 (*.f64 x z) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 z x)))))>
#<alt (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 z x))))>
#<alt (*.f64 y (+.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 z x))) (/.f64 (*.f64 x z) y)))>
#<alt (*.f64 y (+.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 z x))) (/.f64 (*.f64 x z) y)))>
#<alt (*.f64 y (+.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 z x))) (/.f64 (*.f64 x z) y)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (*.f64 y (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 z x)) #s(literal 1 binary64)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) y)) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 z x)) #s(literal 1 binary64))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) y)) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 z x)) #s(literal 1 binary64))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) y)) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 z x)) #s(literal 1 binary64))))))>
#<alt (*.f64 x y)>
#<alt (+.f64 (*.f64 x y) (*.f64 x (*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 y x)))))>
#<alt (+.f64 (*.f64 x y) (*.f64 x (*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 y x)))))>
#<alt (+.f64 (*.f64 x y) (*.f64 x (*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 y x)))))>
#<alt (*.f64 x (*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 y x))))>
#<alt (*.f64 z (+.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 y x))) (/.f64 (*.f64 x y) z)))>
#<alt (*.f64 z (+.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 y x))) (/.f64 (*.f64 x y) z)))>
#<alt (*.f64 z (+.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 y x))) (/.f64 (*.f64 x y) z)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (*.f64 z (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 y x)) #s(literal 1 binary64)))))>
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#<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 y z)))) (*.f64 y (*.f64 z (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))) (+.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)) (*.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))) (*.f64 (sqrt.f64 (/.f64 (+.f64 y z) x)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 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 y z)))) (*.f64 y (*.f64 z (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))) (+.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)) (*.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #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)) (*.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))) (*.f64 (sqrt.f64 (/.f64 (+.f64 y z) x)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))))))>
#<alt (*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 y x)))>
#<alt (*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 y x)))>
#<alt (*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 y x)))>
#<alt (*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 y x)))>
#<alt (*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 y x)))>
#<alt (*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 y x)))>
#<alt (*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 y x)))>
#<alt (*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 y x)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 y x)) #s(literal 1 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 y x)) #s(literal 1 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 y x)) #s(literal 1 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 y x)) #s(literal 1 binary64))))>
#<alt z>
#<alt (+.f64 z (/.f64 (*.f64 y z) x))>
#<alt (+.f64 z (/.f64 (*.f64 y z) x))>
#<alt (+.f64 z (/.f64 (*.f64 y z) x))>
#<alt (/.f64 (*.f64 y z) x)>
#<alt (*.f64 y (+.f64 (/.f64 z x) (/.f64 z y)))>
#<alt (*.f64 y (+.f64 (/.f64 z x) (/.f64 z y)))>
#<alt (*.f64 y (+.f64 (/.f64 z x) (/.f64 z y)))>
#<alt (/.f64 (*.f64 y z) x)>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 z x)) (*.f64 #s(literal -1 binary64) (/.f64 z y)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 z x)) (*.f64 #s(literal -1 binary64) (/.f64 z y)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 z x)) (*.f64 #s(literal -1 binary64) (/.f64 z y)))))>
#<alt (/.f64 (*.f64 y z) x)>
#<alt (/.f64 (+.f64 (*.f64 x z) (*.f64 y z)) x)>
#<alt (/.f64 (+.f64 (*.f64 x z) (*.f64 y z)) x)>
#<alt (/.f64 (+.f64 (*.f64 x z) (*.f64 y z)) x)>
#<alt z>
#<alt (+.f64 z (/.f64 (*.f64 y z) x))>
#<alt (+.f64 z (/.f64 (*.f64 y z) x))>
#<alt (+.f64 z (/.f64 (*.f64 y z) x))>
#<alt z>
#<alt (+.f64 z (/.f64 (*.f64 y z) x))>
#<alt (+.f64 z (/.f64 (*.f64 y z) x))>
#<alt (+.f64 z (/.f64 (*.f64 y z) x))>
Calls

114 calls:

TimeVariablePointExpression
17.0ms
x
@0
(sqrt (* x (+ y (+ z (/ 1 (/ x (* z y)))))))
3.0ms
y
@0
(* (pow (+ y (+ z (* y (/ z x)))) 1/2) (pow x 1/2))
3.0ms
x
@-inf
(* y (+ 1 (/ z x)))
2.0ms
y
@-inf
(sqrt (+ (* x z) (* x (* y (+ 1 (/ z x))))))
2.0ms
y
@-inf
(pow (+ y (+ z (* y (/ z x)))) 1/2)

rewrite136.0ms (1%)

Algorithm
batch-egg-rewrite
Rules
280×log1p-expm1-u
280×expm1-log1p-u
278×associate-*r*
274×add-cube-cbrt
270×add-exp-log
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
035522
1627452
Stop Event
node limit
Counts
13 → 570
Calls
Call 1
Inputs
(*.f64 x (+.f64 y (+.f64 z (/.f64 #s(literal 1 binary64) (/.f64 x (*.f64 z y))))))
(sqrt.f64 (*.f64 x (+.f64 y (+.f64 z (/.f64 #s(literal 1 binary64) (/.f64 x (*.f64 z y)))))))
(/.f64 x (*.f64 z y))
(/.f64 #s(literal 1 binary64) (/.f64 x (*.f64 z y)))
(*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 z x))))
(sqrt.f64 (+.f64 (*.f64 x z) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 z x))))))
(*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 z x)))
(+.f64 (*.f64 x z) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 z x)))))
(*.f64 (sqrt.f64 y) (sqrt.f64 x))
(pow.f64 (+.f64 y (+.f64 z (*.f64 y (/.f64 z x)))) #s(literal 1/2 binary64))
(*.f64 y (/.f64 z x))
(*.f64 (pow.f64 (+.f64 y (+.f64 z (*.f64 y (/.f64 z x)))) #s(literal 1/2 binary64)) (pow.f64 x #s(literal 1/2 binary64)))
(+.f64 z (*.f64 y (/.f64 z x)))
Outputs
(+.f64 (*.f64 (*.f64 (*.f64 x y) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 z x))) (*.f64 x z))
(+.f64 (*.f64 x z) (*.f64 (*.f64 (*.f64 x y) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 z x))))
(+.f64 (*.f64 x y) (+.f64 (*.f64 x z) (*.f64 x (*.f64 y (/.f64 z x)))))
(+.f64 (*.f64 x y) (*.f64 (+.f64 z (*.f64 y (/.f64 z x))) x))
(+.f64 (+.f64 (*.f64 x z) (*.f64 x (*.f64 y (/.f64 z x)))) (*.f64 x y))
(+.f64 (*.f64 (+.f64 z (*.f64 y (/.f64 z x))) x) (*.f64 x y))
(+.f64 (*.f64 (*.f64 (*.f64 (*.f64 x y) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 z x))) #s(literal 1 binary64)) (*.f64 (*.f64 x z) #s(literal 1 binary64)))
(+.f64 (*.f64 (*.f64 x y) #s(literal 1 binary64)) (*.f64 (*.f64 (+.f64 z (*.f64 y (/.f64 z x))) x) #s(literal 1 binary64)))
(+.f64 (*.f64 (*.f64 x y) #s(literal 1 binary64)) (*.f64 (+.f64 (*.f64 x z) (*.f64 x (*.f64 y (/.f64 z x)))) #s(literal 1 binary64)))
(+.f64 (*.f64 x (+.f64 y z)) (*.f64 x (*.f64 y (/.f64 z x))))
(+.f64 (*.f64 (+.f64 y z) x) (*.f64 (*.f64 y (/.f64 z x)) x))
(+.f64 (*.f64 (*.f64 x z) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 x y) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 z x))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x (+.f64 (*.f64 y (/.f64 z x)) (+.f64 z y))))) #s(literal 1 binary64))
(-.f64 (/.f64 (*.f64 (*.f64 x z) (*.f64 x z)) (+.f64 (*.f64 x z) (*.f64 (neg.f64 (*.f64 x y)) (+.f64 #s(literal 1 binary64) (/.f64 z x))))) (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x y) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 z x))) (*.f64 x y)) (+.f64 #s(literal 1 binary64) (/.f64 z x))) (+.f64 (*.f64 x z) (*.f64 (neg.f64 (*.f64 x y)) (+.f64 #s(literal 1 binary64) (/.f64 z x))))))
(*.f64 x (+.f64 (*.f64 y (/.f64 z x)) (+.f64 z y)))
(*.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (*.f64 y (/.f64 z x)) (+.f64 z y))))
(*.f64 (+.f64 (*.f64 y (/.f64 z x)) (+.f64 z y)) x)
(*.f64 (pow.f64 (*.f64 x (+.f64 (*.f64 y (/.f64 z x)) (+.f64 z y))) #s(literal 1/2 binary64)) (pow.f64 (*.f64 x (+.f64 (*.f64 y (/.f64 z x)) (+.f64 z y))) #s(literal 1/2 binary64)))
(*.f64 (cbrt.f64 (*.f64 (*.f64 (+.f64 (*.f64 y (/.f64 z x)) (+.f64 z y)) (+.f64 (*.f64 y (/.f64 z x)) (+.f64 z y))) (*.f64 x x))) (cbrt.f64 (*.f64 x (+.f64 (*.f64 y (/.f64 z x)) (+.f64 z y)))))
(*.f64 (+.f64 (*.f64 (*.f64 x z) (*.f64 (*.f64 x z) (*.f64 x z))) (pow.f64 (*.f64 (*.f64 (*.f64 x y) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 z x))) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 (*.f64 x z) (*.f64 x z)) (+.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x y) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 z x))) (*.f64 x y)) (+.f64 #s(literal 1 binary64) (/.f64 z x))) (*.f64 (neg.f64 (*.f64 x z)) (*.f64 (*.f64 (*.f64 x y) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 z x))))))))
(*.f64 (-.f64 (*.f64 (*.f64 x z) (*.f64 x z)) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x y) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 z x))) (*.f64 x y)) (+.f64 #s(literal 1 binary64) (/.f64 z x)))) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x z) (*.f64 (neg.f64 (*.f64 x y)) (+.f64 #s(literal 1 binary64) (/.f64 z x))))))
(*.f64 (*.f64 (pow.f64 (*.f64 x (+.f64 (*.f64 y (/.f64 z x)) (+.f64 z y))) #s(literal 1/2 binary64)) (pow.f64 (*.f64 x (+.f64 (*.f64 y (/.f64 z x)) (+.f64 z y))) #s(literal 1/4 binary64))) (pow.f64 (*.f64 x (+.f64 (*.f64 y (/.f64 z x)) (+.f64 z y))) #s(literal 1/4 binary64)))
(*.f64 (*.f64 x #s(literal 1 binary64)) (+.f64 (*.f64 y (/.f64 z x)) (+.f64 z y)))
(*.f64 (*.f64 (+.f64 (*.f64 y (/.f64 z x)) (+.f64 z y)) #s(literal 1 binary64)) x)
(*.f64 (*.f64 (+.f64 (*.f64 y (/.f64 z x)) (+.f64 z y)) (pow.f64 x #s(literal 1/2 binary64))) (pow.f64 x #s(literal 1/2 binary64)))
(*.f64 (*.f64 (+.f64 (*.f64 y (/.f64 z x)) (+.f64 z y)) (cbrt.f64 (*.f64 x x))) (cbrt.f64 x))
(*.f64 (*.f64 x (cbrt.f64 (*.f64 (+.f64 (*.f64 y (/.f64 z x)) (+.f64 z y)) (+.f64 (*.f64 y (/.f64 z x)) (+.f64 z y))))) (cbrt.f64 (+.f64 (*.f64 y (/.f64 z x)) (+.f64 z y))))
(*.f64 (*.f64 x (pow.f64 (+.f64 (*.f64 y (/.f64 z x)) (+.f64 z y)) #s(literal 1/2 binary64))) (pow.f64 (+.f64 (*.f64 y (/.f64 z x)) (+.f64 z y)) #s(literal 1/2 binary64)))
(*.f64 (*.f64 (pow.f64 (*.f64 x (+.f64 (*.f64 y (/.f64 z x)) (+.f64 z y))) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (pow.f64 (*.f64 x (+.f64 (*.f64 y (/.f64 z x)) (+.f64 z y))) #s(literal 1/2 binary64)))
(*.f64 (*.f64 (pow.f64 (*.f64 x (+.f64 (*.f64 y (/.f64 z x)) (+.f64 z y))) #s(literal 1/2 binary64)) (pow.f64 x #s(literal 1/2 binary64))) (pow.f64 (+.f64 (*.f64 y (/.f64 z x)) (+.f64 z y)) #s(literal 1/2 binary64)))
(*.f64 (*.f64 (pow.f64 (*.f64 x (+.f64 (*.f64 y (/.f64 z x)) (+.f64 z y))) #s(literal 1/2 binary64)) (pow.f64 (+.f64 (*.f64 y (/.f64 z x)) (+.f64 z y)) #s(literal 1/2 binary64))) (pow.f64 x #s(literal 1/2 binary64)))
(*.f64 (*.f64 (pow.f64 (*.f64 x (+.f64 (*.f64 y (/.f64 z x)) (+.f64 z y))) #s(literal 1/2 binary64)) (cbrt.f64 (*.f64 x (+.f64 (*.f64 y (/.f64 z x)) (+.f64 z y))))) (cbrt.f64 (pow.f64 (*.f64 x (+.f64 (*.f64 y (/.f64 z x)) (+.f64 z y))) #s(literal 1/2 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (*.f64 (*.f64 x z) (*.f64 x z)) (+.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x y) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 z x))) (*.f64 x y)) (+.f64 #s(literal 1 binary64) (/.f64 z x))) (*.f64 (neg.f64 (*.f64 x z)) (*.f64 (*.f64 (*.f64 x y) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 z x)))))) (+.f64 (*.f64 (*.f64 x z) (*.f64 (*.f64 x z) (*.f64 x z))) (pow.f64 (*.f64 (*.f64 (*.f64 x y) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 z x))) #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (*.f64 x z) (*.f64 (neg.f64 (*.f64 x y)) (+.f64 #s(literal 1 binary64) (/.f64 z x)))) (-.f64 (*.f64 (*.f64 x z) (*.f64 x z)) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x y) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 z x))) (*.f64 x y)) (+.f64 #s(literal 1 binary64) (/.f64 z x))))))
(/.f64 (+.f64 (*.f64 (*.f64 x z) (*.f64 (*.f64 x z) (*.f64 x z))) (pow.f64 (*.f64 (*.f64 (*.f64 x y) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 z x))) #s(literal 3 binary64))) (+.f64 (*.f64 (*.f64 x z) (*.f64 x z)) (+.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x y) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 z x))) (*.f64 x y)) (+.f64 #s(literal 1 binary64) (/.f64 z x))) (*.f64 (neg.f64 (*.f64 x z)) (*.f64 (*.f64 (*.f64 x y) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 z x)))))))
(/.f64 (-.f64 (*.f64 (*.f64 x z) (*.f64 x z)) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x y) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 z x))) (*.f64 x y)) (+.f64 #s(literal 1 binary64) (/.f64 z x)))) (+.f64 (*.f64 x z) (*.f64 (neg.f64 (*.f64 x y)) (+.f64 #s(literal 1 binary64) (/.f64 z x)))))
(/.f64 (neg.f64 (+.f64 (*.f64 (*.f64 x z) (*.f64 (*.f64 x z) (*.f64 x z))) (pow.f64 (*.f64 (*.f64 (*.f64 x y) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 z x))) #s(literal 3 binary64)))) (neg.f64 (+.f64 (*.f64 (*.f64 x z) (*.f64 x z)) (+.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x y) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 z x))) (*.f64 x y)) (+.f64 #s(literal 1 binary64) (/.f64 z x))) (*.f64 (neg.f64 (*.f64 x z)) (*.f64 (*.f64 (*.f64 x y) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 z x))))))))
(/.f64 (neg.f64 (-.f64 (*.f64 (*.f64 x z) (*.f64 x z)) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x y) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 z x))) (*.f64 x y)) (+.f64 #s(literal 1 binary64) (/.f64 z x))))) (neg.f64 (+.f64 (*.f64 x z) (*.f64 (neg.f64 (*.f64 x y)) (+.f64 #s(literal 1 binary64) (/.f64 z x))))))
(/.f64 (+.f64 (pow.f64 (*.f64 (*.f64 (*.f64 x y) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 z x))) #s(literal 3 binary64)) (*.f64 (*.f64 x z) (*.f64 (*.f64 x z) (*.f64 x z)))) (+.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x y) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 z x))) (*.f64 x y)) (+.f64 #s(literal 1 binary64) (/.f64 z x))) (-.f64 (*.f64 (*.f64 x z) (*.f64 x z)) (*.f64 (*.f64 (*.f64 (*.f64 x y) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 z x))) (*.f64 x z)))))
(/.f64 (+.f64 (pow.f64 (*.f64 x y) #s(literal 3 binary64)) (pow.f64 (*.f64 (+.f64 z (*.f64 y (/.f64 z x))) x) #s(literal 3 binary64))) (+.f64 (*.f64 (*.f64 x y) (*.f64 x y)) (-.f64 (*.f64 (*.f64 (+.f64 z (*.f64 y (/.f64 z x))) x) (*.f64 (+.f64 z (*.f64 y (/.f64 z x))) x)) (*.f64 (*.f64 x y) (*.f64 (+.f64 z (*.f64 y (/.f64 z x))) x)))))
(/.f64 (+.f64 (pow.f64 (*.f64 x y) #s(literal 3 binary64)) (pow.f64 (+.f64 (*.f64 x z) (*.f64 x (*.f64 y (/.f64 z x)))) #s(literal 3 binary64))) (+.f64 (*.f64 (*.f64 x y) (*.f64 x y)) (-.f64 (*.f64 (+.f64 (*.f64 x z) (*.f64 x (*.f64 y (/.f64 z x)))) (+.f64 (*.f64 x z) (*.f64 x (*.f64 y (/.f64 z x))))) (*.f64 (*.f64 x y) (+.f64 (*.f64 x z) (*.f64 x (*.f64 y (/.f64 z x))))))))
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x y) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 z x))) (*.f64 x y)) (+.f64 #s(literal 1 binary64) (/.f64 z x))) (*.f64 (*.f64 x z) (*.f64 x z))) (-.f64 (*.f64 (*.f64 (*.f64 x y) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 z x))) (*.f64 x z)))
(/.f64 (-.f64 (*.f64 (*.f64 x y) (*.f64 x y)) (*.f64 (*.f64 (+.f64 z (*.f64 y (/.f64 z x))) x) (*.f64 (+.f64 z (*.f64 y (/.f64 z x))) x))) (-.f64 (*.f64 x y) (*.f64 (+.f64 z (*.f64 y (/.f64 z x))) x)))
(/.f64 (-.f64 (*.f64 (*.f64 x y) (*.f64 x y)) (*.f64 (+.f64 (*.f64 x z) (*.f64 x (*.f64 y (/.f64 z x)))) (+.f64 (*.f64 x z) (*.f64 x (*.f64 y (/.f64 z x)))))) (-.f64 (*.f64 x y) (+.f64 (*.f64 x z) (*.f64 x (*.f64 y (/.f64 z x))))))
(pow.f64 (*.f64 x (+.f64 (*.f64 y (/.f64 z x)) (+.f64 z y))) #s(literal 1 binary64))
(pow.f64 (pow.f64 (*.f64 x (+.f64 (*.f64 y (/.f64 z x)) (+.f64 z y))) #s(literal 1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (cbrt.f64 (*.f64 x (+.f64 (*.f64 y (/.f64 z x)) (+.f64 z y)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 x (+.f64 (*.f64 y (/.f64 z x)) (+.f64 z y))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
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(log1p.f64 (expm1.f64 (+.f64 z (*.f64 y (/.f64 z x)))))
(exp.f64 (-.f64 (log.f64 (-.f64 (*.f64 z z) (*.f64 (*.f64 y (/.f64 z x)) (*.f64 y (/.f64 z x))))) (log.f64 (-.f64 z (*.f64 y (/.f64 z x))))))
(exp.f64 (*.f64 (-.f64 (log.f64 (-.f64 (*.f64 z z) (*.f64 (*.f64 y (/.f64 z x)) (*.f64 y (/.f64 z x))))) (log.f64 (-.f64 z (*.f64 y (/.f64 z x))))) #s(literal 1 binary64)))
(fma.f64 y (/.f64 z x) z)
(fma.f64 #s(literal 1 binary64) z (*.f64 y (/.f64 z x)))
(fma.f64 #s(literal 1 binary64) (*.f64 y (/.f64 z x)) z)
(fma.f64 (/.f64 z x) y z)
(fma.f64 (cbrt.f64 (*.f64 (*.f64 y (/.f64 z x)) (*.f64 y (/.f64 z x)))) (cbrt.f64 (*.f64 y (/.f64 z x))) z)
(fma.f64 (cbrt.f64 (*.f64 z z)) (cbrt.f64 z) (*.f64 y (/.f64 z x)))
(fma.f64 (pow.f64 (/.f64 x (*.f64 y z)) #s(literal -1/2 binary64)) (pow.f64 (/.f64 x (*.f64 y z)) #s(literal -1/2 binary64)) z)
(fma.f64 (sqrt.f64 z) (sqrt.f64 z) (*.f64 y (/.f64 z x)))
(fma.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 y z) z)

simplify578.0ms (4.1%)

Algorithm
egg-herbie
Rules
745×distribute-lft-in
573×*-commutative
431×times-frac
208×distribute-rgt-neg-in
201×associate-*r*
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0156262731
1451859594
Stop Event
node limit
Counts
999 → 699
Calls
Call 1
Inputs
(*.f64 y z)
(+.f64 (*.f64 x (+.f64 y z)) (*.f64 y z))
(+.f64 (*.f64 x (+.f64 y z)) (*.f64 y z))
(+.f64 (*.f64 x (+.f64 y z)) (*.f64 y z))
(*.f64 x (+.f64 y z))
(*.f64 x (+.f64 y (+.f64 z (/.f64 (*.f64 y z) x))))
(*.f64 x (+.f64 y (+.f64 z (/.f64 (*.f64 y z) x))))
(*.f64 x (+.f64 y (+.f64 z (/.f64 (*.f64 y z) x))))
(*.f64 x (+.f64 y z))
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) (+.f64 y z)) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 y z) x)))))
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) (+.f64 y z)) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 y z) x)))))
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) (+.f64 y z)) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 y z) x)))))
(*.f64 x z)
(+.f64 (*.f64 x z) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 z x)))))
(+.f64 (*.f64 x z) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 z x)))))
(+.f64 (*.f64 x z) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 z x)))))
(*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 z x))))
(*.f64 y (+.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 z x))) (/.f64 (*.f64 x z) y)))
(*.f64 y (+.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 z x))) (/.f64 (*.f64 x z) y)))
(*.f64 y (+.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 z x))) (/.f64 (*.f64 x z) y)))
(*.f64 #s(literal -1 binary64) (*.f64 x (*.f64 y (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 z x)) #s(literal 1 binary64)))))
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) y)) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 z x)) #s(literal 1 binary64))))))
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) y)) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 z x)) #s(literal 1 binary64))))))
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) y)) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 z x)) #s(literal 1 binary64))))))
(*.f64 x y)
(+.f64 (*.f64 x y) (*.f64 x (*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 y x)))))
(+.f64 (*.f64 x y) (*.f64 x (*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 y x)))))
(+.f64 (*.f64 x y) (*.f64 x (*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 y x)))))
(*.f64 x (*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 y x))))
(*.f64 z (+.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 y x))) (/.f64 (*.f64 x y) z)))
(*.f64 z (+.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 y x))) (/.f64 (*.f64 x y) z)))
(*.f64 z (+.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 y x))) (/.f64 (*.f64 x y) z)))
(*.f64 #s(literal -1 binary64) (*.f64 x (*.f64 z (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 y x)) #s(literal 1 binary64)))))
(*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x y) z)) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 y x)) #s(literal 1 binary64))))))
(*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x y) z)) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 y x)) #s(literal 1 binary64))))))
(*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x y) z)) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 y x)) #s(literal 1 binary64))))))
(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 y z))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 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 y z)))) (*.f64 y (*.f64 z (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))) (*.f64 (sqrt.f64 (/.f64 (+.f64 y z) x)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 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 y z)))) (*.f64 y (*.f64 z (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))) (+.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)) (*.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))) (*.f64 (sqrt.f64 (/.f64 (+.f64 y z) x)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 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 y z)))) (*.f64 y (*.f64 z (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))) (+.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)) (*.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #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)) (*.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))) (*.f64 (sqrt.f64 (/.f64 (+.f64 y z) x)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))))))
(sqrt.f64 (*.f64 x z))
(+.f64 (sqrt.f64 (*.f64 x z)) (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 x z)) (*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 z x))))))
(+.f64 (sqrt.f64 (*.f64 x z)) (*.f64 y (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 x (pow.f64 z #s(literal 3 binary64)))) (*.f64 y (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 z x)) #s(literal 2 binary64))))) (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 x z)) (+.f64 #s(literal 1 binary64) (/.f64 z x)))))))
(+.f64 (sqrt.f64 (*.f64 x z)) (*.f64 y (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 x z)) (+.f64 #s(literal 1 binary64) (/.f64 z x)))) (*.f64 y (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 x (pow.f64 z #s(literal 3 binary64)))) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 z x)) #s(literal 2 binary64)))) (*.f64 #s(literal 1/16 binary64) (*.f64 (sqrt.f64 (/.f64 x (pow.f64 z #s(literal 5 binary64)))) (*.f64 y (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 z x)) #s(literal 3 binary64))))))))))
(sqrt.f64 (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 z x)))))
(*.f64 y (+.f64 (sqrt.f64 (/.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 z x))) y)) (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 x (*.f64 (pow.f64 y #s(literal 3 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 z x))))) z))))
(*.f64 y (+.f64 (sqrt.f64 (/.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 z x))) y)) (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 x (*.f64 (pow.f64 y #s(literal 5 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 z x)) #s(literal 3 binary64))))) (pow.f64 z #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 x (*.f64 (pow.f64 y #s(literal 3 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 z x))))) z)))))
(*.f64 y (+.f64 (sqrt.f64 (/.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 z x))) y)) (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 x (*.f64 (pow.f64 y #s(literal 5 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 z x)) #s(literal 3 binary64))))) (pow.f64 z #s(literal 2 binary64)))) (+.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 (sqrt.f64 (/.f64 x (*.f64 (pow.f64 y #s(literal 7 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 z x)) #s(literal 5 binary64))))) (pow.f64 z #s(literal 3 binary64)))) (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 x (*.f64 (pow.f64 y #s(literal 3 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 z x))))) z))))))
(*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 (*.f64 x (*.f64 y (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 z x)) #s(literal 1 binary64))))) (sqrt.f64 #s(literal -1 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 x (*.f64 (pow.f64 y #s(literal 3 binary64)) (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 z x)) #s(literal 1 binary64))))) (*.f64 z (sqrt.f64 #s(literal -1 binary64))))) (*.f64 (sqrt.f64 (/.f64 (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 z x)) #s(literal 1 binary64))) y)) (sqrt.f64 #s(literal -1 binary64))))))
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 x (*.f64 (pow.f64 y #s(literal 5 binary64)) (pow.f64 (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 z x)) #s(literal 1 binary64)) #s(literal 3 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 x (*.f64 (pow.f64 y #s(literal 3 binary64)) (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 z x)) #s(literal 1 binary64))))) (*.f64 z (sqrt.f64 #s(literal -1 binary64))))) (*.f64 (sqrt.f64 (/.f64 (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 z x)) #s(literal 1 binary64))) y)) (sqrt.f64 #s(literal -1 binary64)))))))
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 x (*.f64 (pow.f64 y #s(literal 5 binary64)) (pow.f64 (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 z x)) #s(literal 1 binary64)) #s(literal 3 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 x (*.f64 (pow.f64 y #s(literal 7 binary64)) (pow.f64 (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 z x)) #s(literal 1 binary64)) #s(literal 5 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 x (*.f64 (pow.f64 y #s(literal 3 binary64)) (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 z x)) #s(literal 1 binary64))))) (*.f64 z (sqrt.f64 #s(literal -1 binary64))))) (*.f64 (sqrt.f64 (/.f64 (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 z x)) #s(literal 1 binary64))) 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 x y)) (*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 y x))))))
(+.f64 (sqrt.f64 (*.f64 x y)) (*.f64 z (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 x (pow.f64 y #s(literal 3 binary64)))) (*.f64 z (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 y x)) #s(literal 2 binary64))))) (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 x y)) (+.f64 #s(literal 1 binary64) (/.f64 y x)))))))
(+.f64 (sqrt.f64 (*.f64 x y)) (*.f64 z (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 x y)) (+.f64 #s(literal 1 binary64) (/.f64 y x)))) (*.f64 z (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 x (pow.f64 y #s(literal 3 binary64)))) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 y x)) #s(literal 2 binary64)))) (*.f64 #s(literal 1/16 binary64) (*.f64 (sqrt.f64 (/.f64 x (pow.f64 y #s(literal 5 binary64)))) (*.f64 z (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 y x)) #s(literal 3 binary64))))))))))
(sqrt.f64 (*.f64 x (*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 y x)))))
(*.f64 z (+.f64 (sqrt.f64 (/.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 y x))) z)) (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 x (*.f64 (pow.f64 z #s(literal 3 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 y x))))) y))))
(*.f64 z (+.f64 (sqrt.f64 (/.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 y x))) z)) (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 x (*.f64 (pow.f64 z #s(literal 5 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 y x)) #s(literal 3 binary64))))) (pow.f64 y #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 x (*.f64 (pow.f64 z #s(literal 3 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 y x))))) y)))))
(*.f64 z (+.f64 (sqrt.f64 (/.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 y x))) z)) (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 x (*.f64 (pow.f64 z #s(literal 5 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 y x)) #s(literal 3 binary64))))) (pow.f64 y #s(literal 2 binary64)))) (+.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 (sqrt.f64 (/.f64 x (*.f64 (pow.f64 z #s(literal 7 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 y x)) #s(literal 5 binary64))))) (pow.f64 y #s(literal 3 binary64)))) (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 x (*.f64 (pow.f64 z #s(literal 3 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 y x))))) y))))))
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(exp.f64 (*.f64 (-.f64 (log.f64 (-.f64 (*.f64 z z) (*.f64 (*.f64 y (/.f64 z x)) (*.f64 y (/.f64 z x))))) (log.f64 (-.f64 z (*.f64 y (/.f64 z x))))) #s(literal 1 binary64)))
(fma.f64 y (/.f64 z x) z)
(fma.f64 #s(literal 1 binary64) z (*.f64 y (/.f64 z x)))
(fma.f64 #s(literal 1 binary64) (*.f64 y (/.f64 z x)) z)
(fma.f64 (/.f64 z x) y z)
(fma.f64 (cbrt.f64 (*.f64 (*.f64 y (/.f64 z x)) (*.f64 y (/.f64 z x)))) (cbrt.f64 (*.f64 y (/.f64 z x))) z)
(fma.f64 (cbrt.f64 (*.f64 z z)) (cbrt.f64 z) (*.f64 y (/.f64 z x)))
(fma.f64 (pow.f64 (/.f64 x (*.f64 y z)) #s(literal -1/2 binary64)) (pow.f64 (/.f64 x (*.f64 y z)) #s(literal -1/2 binary64)) z)
(fma.f64 (sqrt.f64 z) (sqrt.f64 z) (*.f64 y (/.f64 z x)))
(fma.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 y z) z)
Outputs
(*.f64 y z)
(+.f64 (*.f64 x (+.f64 y z)) (*.f64 y z))
(fma.f64 x (+.f64 y z) (*.f64 y z))
(+.f64 (*.f64 x (+.f64 y z)) (*.f64 y z))
(fma.f64 x (+.f64 y z) (*.f64 y z))
(+.f64 (*.f64 x (+.f64 y z)) (*.f64 y z))
(fma.f64 x (+.f64 y z) (*.f64 y z))
(*.f64 x (+.f64 y z))
(*.f64 x (+.f64 y (+.f64 z (/.f64 (*.f64 y z) x))))
(*.f64 x (fma.f64 y (/.f64 z x) (+.f64 y z)))
(*.f64 x (+.f64 y (+.f64 z (/.f64 (*.f64 y z) x))))
(*.f64 x (fma.f64 y (/.f64 z x) (+.f64 y z)))
(*.f64 x (+.f64 y (+.f64 z (/.f64 (*.f64 y z) x))))
(*.f64 x (fma.f64 y (/.f64 z x) (+.f64 y z)))
(*.f64 x (+.f64 y z))
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) (+.f64 y z)) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 y z) x)))))
(*.f64 x (fma.f64 y (/.f64 z x) (+.f64 y z)))
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) (+.f64 y z)) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 y z) x)))))
(*.f64 x (fma.f64 y (/.f64 z x) (+.f64 y z)))
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) (+.f64 y z)) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 y z) x)))))
(*.f64 x (fma.f64 y (/.f64 z x) (+.f64 y z)))
(*.f64 x z)
(*.f64 z x)
(+.f64 (*.f64 x z) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 z x)))))
(*.f64 x (fma.f64 y (/.f64 z x) (+.f64 y z)))
(+.f64 (*.f64 x z) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 z x)))))
(*.f64 x (fma.f64 y (/.f64 z x) (+.f64 y z)))
(+.f64 (*.f64 x z) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 z x)))))
(*.f64 x (fma.f64 y (/.f64 z x) (+.f64 y z)))
(*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 z x))))
(*.f64 x (fma.f64 y (/.f64 z x) y))
(*.f64 y (+.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 z x))) (/.f64 (*.f64 x z) y)))
(*.f64 y (fma.f64 x (+.f64 #s(literal 1 binary64) (/.f64 z x)) (*.f64 x (/.f64 z y))))
(*.f64 y (+.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 z x))) (/.f64 (*.f64 x z) y)))
(*.f64 y (fma.f64 x (+.f64 #s(literal 1 binary64) (/.f64 z x)) (*.f64 x (/.f64 z y))))
(*.f64 y (+.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 z x))) (/.f64 (*.f64 x z) y)))
(*.f64 y (fma.f64 x (+.f64 #s(literal 1 binary64) (/.f64 z x)) (*.f64 x (/.f64 z y))))
(*.f64 #s(literal -1 binary64) (*.f64 x (*.f64 y (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 z x)) #s(literal 1 binary64)))))
(*.f64 x (fma.f64 y (/.f64 z x) y))
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) y)) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 z x)) #s(literal 1 binary64))))))
(*.f64 (-.f64 (*.f64 x (+.f64 (/.f64 z (neg.f64 x)) #s(literal -1 binary64))) (*.f64 x (/.f64 z y))) (neg.f64 y))
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) y)) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 z x)) #s(literal 1 binary64))))))
(*.f64 (-.f64 (*.f64 x (+.f64 (/.f64 z (neg.f64 x)) #s(literal -1 binary64))) (*.f64 x (/.f64 z y))) (neg.f64 y))
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) y)) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 z x)) #s(literal 1 binary64))))))
(*.f64 (-.f64 (*.f64 x (+.f64 (/.f64 z (neg.f64 x)) #s(literal -1 binary64))) (*.f64 x (/.f64 z y))) (neg.f64 y))
(*.f64 x y)
(*.f64 y x)
(+.f64 (*.f64 x y) (*.f64 x (*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 y x)))))
(*.f64 x (fma.f64 y (/.f64 z x) (+.f64 y z)))
(+.f64 (*.f64 x y) (*.f64 x (*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 y x)))))
(*.f64 x (fma.f64 y (/.f64 z x) (+.f64 y z)))
(+.f64 (*.f64 x y) (*.f64 x (*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 y x)))))
(*.f64 x (fma.f64 y (/.f64 z x) (+.f64 y z)))
(*.f64 x (*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 y x))))
(*.f64 x (fma.f64 y (/.f64 z x) z))
(*.f64 z (+.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 y x))) (/.f64 (*.f64 x y) z)))
(*.f64 z (fma.f64 x (+.f64 #s(literal 1 binary64) (/.f64 y x)) (*.f64 y (/.f64 x z))))
(*.f64 z (+.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 y x))) (/.f64 (*.f64 x y) z)))
(*.f64 z (fma.f64 x (+.f64 #s(literal 1 binary64) (/.f64 y x)) (*.f64 y (/.f64 x z))))
(*.f64 z (+.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 y x))) (/.f64 (*.f64 x y) z)))
(*.f64 z (fma.f64 x (+.f64 #s(literal 1 binary64) (/.f64 y x)) (*.f64 y (/.f64 x z))))
(*.f64 #s(literal -1 binary64) (*.f64 x (*.f64 z (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 y x)) #s(literal 1 binary64)))))
(*.f64 x (fma.f64 y (/.f64 z x) z))
(*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x y) z)) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 y x)) #s(literal 1 binary64))))))
(*.f64 (-.f64 (*.f64 x (+.f64 (/.f64 y (neg.f64 x)) #s(literal -1 binary64))) (*.f64 y (/.f64 x z))) (neg.f64 z))
(*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x y) z)) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 y x)) #s(literal 1 binary64))))))
(*.f64 (-.f64 (*.f64 x (+.f64 (/.f64 y (neg.f64 x)) #s(literal -1 binary64))) (*.f64 y (/.f64 x z))) (neg.f64 z))
(*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x y) z)) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 y x)) #s(literal 1 binary64))))))
(*.f64 (-.f64 (*.f64 x (+.f64 (/.f64 y (neg.f64 x)) #s(literal -1 binary64))) (*.f64 y (/.f64 x z))) (neg.f64 z))
(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 (*.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 (*.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) (*.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64)))))) (*.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 y z)))) (+.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 (*.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) (*.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64)))))) (*.f64 (*.f64 #s(literal 1/16 binary64) (*.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 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 (+.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 (*.f64 y z) (*.f64 y z))) (*.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 (+.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 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 (*.f64 y z) (*.f64 y z))) (fma.f64 #s(literal 1/16 binary64) (*.f64 (*.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) (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 #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 #s(literal -1 binary64) (*.f64 (sqrt.f64 (*.f64 x (+.f64 y z))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))
(*.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 x (+.f64 y z))))
(*.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 y z)))) (*.f64 y (*.f64 z (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))) (*.f64 (sqrt.f64 (/.f64 (+.f64 y z) x)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))))
(*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 y z) (pow.f64 x #s(literal 3 binary64))))) (*.f64 y (neg.f64 z))) (*.f64 #s(literal -1 binary64) (sqrt.f64 (/.f64 (+.f64 y z) x)))) (neg.f64 x))
(*.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 y z)))) (*.f64 y (*.f64 z (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))) (+.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)) (*.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))) (*.f64 (sqrt.f64 (/.f64 (+.f64 y z) x)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))))
(*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 y z) (pow.f64 x #s(literal 3 binary64))))) (*.f64 y (neg.f64 z))) (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 (*.f64 y y) (*.f64 z (neg.f64 z)))) (*.f64 #s(literal -1 binary64) (sqrt.f64 (/.f64 (+.f64 y z) x))))) (neg.f64 x))
(*.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 y z)))) (*.f64 y (*.f64 z (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))) (+.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)) (*.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #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)) (*.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))) (*.f64 (sqrt.f64 (/.f64 (+.f64 y z) x)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))))))
(*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 y z) (pow.f64 x #s(literal 3 binary64))))) (*.f64 y (neg.f64 z))) (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 (*.f64 y y) (*.f64 z (neg.f64 z)))) (fma.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)) (neg.f64 (pow.f64 z #s(literal 3 binary64))))) (*.f64 #s(literal -1 binary64) (sqrt.f64 (/.f64 (+.f64 y z) x)))))) (neg.f64 x))
(sqrt.f64 (*.f64 x z))
(sqrt.f64 (*.f64 z x))
(+.f64 (sqrt.f64 (*.f64 x z)) (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 x z)) (*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 z x))))))
(+.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 x z))) (fma.f64 y (/.f64 z x) y)) (sqrt.f64 (*.f64 z x)))
(+.f64 (sqrt.f64 (*.f64 x z)) (*.f64 y (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 x (pow.f64 z #s(literal 3 binary64)))) (*.f64 y (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 z x)) #s(literal 2 binary64))))) (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 x z)) (+.f64 #s(literal 1 binary64) (/.f64 z x)))))))
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(/.f64 (neg.f64 (neg.f64 (+.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 (*.f64 z (/.f64 y x)) #s(literal 3 binary64))))) (fma.f64 z z (*.f64 (*.f64 z (/.f64 y x)) (-.f64 (*.f64 z (/.f64 y x)) z))))
(/.f64 (+.f64 (*.f64 (*.f64 y (/.f64 z x)) (*.f64 (*.f64 y (/.f64 z x)) (*.f64 y (/.f64 z x)))) (*.f64 z (*.f64 z z))) (+.f64 (*.f64 (*.f64 y (/.f64 z x)) (*.f64 y (/.f64 z x))) (-.f64 (*.f64 z z) (*.f64 (*.f64 y (/.f64 z x)) z))))
(/.f64 (+.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 (*.f64 z (/.f64 y x)) #s(literal 3 binary64))) (+.f64 (pow.f64 (/.f64 x (*.f64 y z)) #s(literal -2 binary64)) (*.f64 z (-.f64 z (*.f64 z (/.f64 y x))))))
(/.f64 (-.f64 (*.f64 (*.f64 y (/.f64 z x)) (*.f64 y (/.f64 z x))) (*.f64 z z)) (-.f64 (*.f64 y (/.f64 z x)) z))
(/.f64 (-.f64 (pow.f64 (/.f64 x (*.f64 y z)) #s(literal -2 binary64)) (*.f64 z z)) (-.f64 (*.f64 z (/.f64 y x)) z))
(pow.f64 (+.f64 z (*.f64 y (/.f64 z x))) #s(literal 1 binary64))
(fma.f64 y (/.f64 z x) z)
(pow.f64 (/.f64 (cbrt.f64 (-.f64 (*.f64 z z) (*.f64 (*.f64 y (/.f64 z x)) (*.f64 y (/.f64 z x))))) (cbrt.f64 (-.f64 z (*.f64 y (/.f64 z x))))) #s(literal 3 binary64))
(/.f64 (-.f64 (*.f64 z z) (pow.f64 (/.f64 x (*.f64 y z)) #s(literal -2 binary64))) (-.f64 z (*.f64 z (/.f64 y x))))
(pow.f64 (/.f64 (pow.f64 (-.f64 (*.f64 z z) (*.f64 (*.f64 y (/.f64 z x)) (*.f64 y (/.f64 z x)))) #s(literal 3 binary64)) (pow.f64 (-.f64 z (*.f64 y (/.f64 z x))) #s(literal 3 binary64))) #s(literal 1/3 binary64))
(cbrt.f64 (/.f64 (pow.f64 (-.f64 (*.f64 z z) (pow.f64 (/.f64 x (*.f64 y z)) #s(literal -2 binary64))) #s(literal 3 binary64)) (pow.f64 (-.f64 z (*.f64 z (/.f64 y x))) #s(literal 3 binary64))))
(pow.f64 (/.f64 (sqrt.f64 (-.f64 (*.f64 z z) (*.f64 (*.f64 y (/.f64 z x)) (*.f64 y (/.f64 z x))))) (sqrt.f64 (-.f64 z (*.f64 y (/.f64 z x))))) #s(literal 2 binary64))
(pow.f64 (/.f64 (sqrt.f64 (-.f64 (*.f64 z z) (pow.f64 (/.f64 x (*.f64 y z)) #s(literal -2 binary64)))) (sqrt.f64 (-.f64 z (*.f64 z (/.f64 y x))))) #s(literal 2 binary64))
(sqrt.f64 (/.f64 (*.f64 (-.f64 (*.f64 z z) (*.f64 (*.f64 y (/.f64 z x)) (*.f64 y (/.f64 z x)))) (-.f64 (*.f64 z z) (*.f64 (*.f64 y (/.f64 z x)) (*.f64 y (/.f64 z x))))) (*.f64 (-.f64 z (*.f64 y (/.f64 z x))) (-.f64 z (*.f64 y (/.f64 z x))))))
(fabs.f64 (/.f64 (-.f64 (*.f64 z z) (pow.f64 (/.f64 x (*.f64 y z)) #s(literal -2 binary64))) (-.f64 z (*.f64 z (/.f64 y x)))))
(log.f64 (pow.f64 (exp.f64 (/.f64 (sqrt.f64 (-.f64 (*.f64 z z) (*.f64 (*.f64 y (/.f64 z x)) (*.f64 y (/.f64 z x))))) (sqrt.f64 (-.f64 z (*.f64 y (/.f64 z x)))))) (/.f64 (sqrt.f64 (-.f64 (*.f64 z z) (*.f64 (*.f64 y (/.f64 z x)) (*.f64 y (/.f64 z x))))) (sqrt.f64 (-.f64 z (*.f64 y (/.f64 z x)))))))
(log.f64 (pow.f64 (exp.f64 (/.f64 (sqrt.f64 (-.f64 (*.f64 z z) (pow.f64 (/.f64 x (*.f64 y z)) #s(literal -2 binary64)))) (sqrt.f64 (-.f64 z (*.f64 z (/.f64 y x)))))) (/.f64 (sqrt.f64 (-.f64 (*.f64 z z) (pow.f64 (/.f64 x (*.f64 y z)) #s(literal -2 binary64)))) (sqrt.f64 (-.f64 z (*.f64 z (/.f64 y x)))))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (+.f64 z (*.f64 y (/.f64 z x))))))
(fma.f64 y (/.f64 z x) z)
(cbrt.f64 (/.f64 (pow.f64 (-.f64 (*.f64 z z) (*.f64 (*.f64 y (/.f64 z x)) (*.f64 y (/.f64 z x)))) #s(literal 3 binary64)) (pow.f64 (-.f64 z (*.f64 y (/.f64 z x))) #s(literal 3 binary64))))
(cbrt.f64 (/.f64 (pow.f64 (-.f64 (*.f64 z z) (pow.f64 (/.f64 x (*.f64 y z)) #s(literal -2 binary64))) #s(literal 3 binary64)) (pow.f64 (-.f64 z (*.f64 z (/.f64 y x))) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (+.f64 z (*.f64 y (/.f64 z x)))))
(expm1.f64 (log1p.f64 (fma.f64 y (/.f64 z x) z)))
(log1p.f64 (expm1.f64 (+.f64 z (*.f64 y (/.f64 z x)))))
(fma.f64 y (/.f64 z x) z)
(exp.f64 (-.f64 (log.f64 (-.f64 (*.f64 z z) (*.f64 (*.f64 y (/.f64 z x)) (*.f64 y (/.f64 z x))))) (log.f64 (-.f64 z (*.f64 y (/.f64 z x))))))
(/.f64 (-.f64 (*.f64 z z) (pow.f64 (/.f64 x (*.f64 y z)) #s(literal -2 binary64))) (-.f64 z (*.f64 z (/.f64 y x))))
(exp.f64 (*.f64 (-.f64 (log.f64 (-.f64 (*.f64 z z) (*.f64 (*.f64 y (/.f64 z x)) (*.f64 y (/.f64 z x))))) (log.f64 (-.f64 z (*.f64 y (/.f64 z x))))) #s(literal 1 binary64)))
(/.f64 (-.f64 (*.f64 z z) (pow.f64 (/.f64 x (*.f64 y z)) #s(literal -2 binary64))) (-.f64 z (*.f64 z (/.f64 y x))))
(fma.f64 y (/.f64 z x) z)
(fma.f64 #s(literal 1 binary64) z (*.f64 y (/.f64 z x)))
(fma.f64 y (/.f64 z x) z)
(fma.f64 #s(literal 1 binary64) (*.f64 y (/.f64 z x)) z)
(fma.f64 y (/.f64 z x) z)
(fma.f64 (/.f64 z x) y z)
(fma.f64 y (/.f64 z x) z)
(fma.f64 (cbrt.f64 (*.f64 (*.f64 y (/.f64 z x)) (*.f64 y (/.f64 z x)))) (cbrt.f64 (*.f64 y (/.f64 z x))) z)
(fma.f64 (cbrt.f64 (pow.f64 (/.f64 x (*.f64 y z)) #s(literal -2 binary64))) (cbrt.f64 (*.f64 z (/.f64 y x))) z)
(fma.f64 (cbrt.f64 (*.f64 z z)) (cbrt.f64 z) (*.f64 y (/.f64 z x)))
(fma.f64 (cbrt.f64 (*.f64 z z)) (cbrt.f64 z) (*.f64 z (/.f64 y x)))
(fma.f64 (pow.f64 (/.f64 x (*.f64 y z)) #s(literal -1/2 binary64)) (pow.f64 (/.f64 x (*.f64 y z)) #s(literal -1/2 binary64)) z)
(fma.f64 y (/.f64 z x) z)
(fma.f64 (sqrt.f64 z) (sqrt.f64 z) (*.f64 y (/.f64 z x)))
(fma.f64 y (/.f64 z x) z)
(fma.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 y z) z)
(fma.f64 y (/.f64 z x) z)

eval1.0s (7.2%)

Compiler

Compiled 44838 to 20993 computations (53.2% saved)

prune233.0ms (1.7%)

Pruning

29 alts after pruning (25 fresh and 4 done)

PrunedKeptTotal
New1718101728
Fresh61521
Picked235
Done011
Total1726291755
Accuracy
82.7%
Counts
1755 → 29
Alt Table
Click to see full alt table
StatusAccuracyProgram
16.1%
(*.f64 #s(literal 2 binary64) (/.f64 (sqrt.f64 (-.f64 (*.f64 (*.f64 x (+.f64 y z)) (*.f64 x (+.f64 y z))) (*.f64 (*.f64 y z) (*.f64 y z)))) (sqrt.f64 (-.f64 (*.f64 x (+.f64 y z)) (*.f64 y z)))))
32.1%
(*.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))))))
25.8%
(*.f64 #s(literal 2 binary64) (+.f64 (sqrt.f64 (*.f64 x y)) (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 x y)) (*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 y x)))))))
9.3%
(*.f64 #s(literal 2 binary64) (*.f64 (*.f64 (pow.f64 (+.f64 (*.f64 y (/.f64 z x)) (+.f64 z y)) #s(literal 1/2 binary64)) (pow.f64 x #s(literal 1/4 binary64))) (pow.f64 x #s(literal 1/4 binary64))))
23.3%
(*.f64 #s(literal 2 binary64) (*.f64 (*.f64 z (+.f64 (sqrt.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 y x)) z)) (*.f64 (*.f64 #s(literal 1/2 binary64) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 y x)) (pow.f64 z #s(literal 3 binary64)))))))) (pow.f64 x #s(literal 1/2 binary64))))
12.0%
(*.f64 #s(literal 2 binary64) (*.f64 (sqrt.f64 (*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 y x)))) (pow.f64 x #s(literal 1/2 binary64))))
8.4%
(*.f64 #s(literal 2 binary64) (*.f64 (sqrt.f64 (*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 z x)))) (pow.f64 x #s(literal 1/2 binary64))))
49.2%
(*.f64 #s(literal 2 binary64) (*.f64 (sqrt.f64 y) (sqrt.f64 z)))
40.1%
(*.f64 #s(literal 2 binary64) (*.f64 z (+.f64 (sqrt.f64 (/.f64 (+.f64 y x) z)) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 y x)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 z #s(literal 3 binary64)) (+.f64 y x))))))))
40.6%
(*.f64 #s(literal 2 binary64) (*.f64 z (+.f64 (sqrt.f64 (/.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 y x))) z)) (*.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 (/.f64 x (pow.f64 z #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (/.f64 y x))))) y))))
31.6%
(*.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 (-.f64 (*.f64 (*.f64 x z) (*.f64 x z)) (*.f64 y (*.f64 (+.f64 x z) (*.f64 y (+.f64 x z))))) (-.f64 (*.f64 x z) (*.f64 y (+.f64 x z))))))
12.8%
(*.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 (+.f64 (*.f64 (*.f64 x z) (*.f64 (*.f64 x z) (*.f64 x z))) (*.f64 (*.f64 y (+.f64 x z)) (*.f64 y (*.f64 (+.f64 x z) (*.f64 y (+.f64 x z)))))) (+.f64 (*.f64 (*.f64 x z) (*.f64 x z)) (*.f64 (*.f64 y z) (*.f64 y z))))))
49.1%
(*.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (/.f64 (*.f64 (*.f64 x (+.f64 y z)) (*.f64 x (-.f64 y z))) (*.f64 x (-.f64 y z))) (*.f64 y z))))
49.1%
(*.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (*.f64 (*.f64 (*.f64 x (+.f64 y z)) (*.f64 x (-.f64 y z))) (/.f64 #s(literal 1 binary64) (*.f64 x (-.f64 y z)))) (*.f64 y z))))
32.2%
(*.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (*.f64 x z) (*.f64 x (/.f64 (-.f64 (*.f64 y y) (*.f64 (*.f64 y (/.f64 z x)) (*.f64 y (/.f64 z x)))) (-.f64 y (*.f64 y (/.f64 z x))))))))
50.2%
(*.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (*.f64 x z) (*.f64 x (*.f64 z (+.f64 (/.f64 y x) (/.f64 y z)))))))
46.0%
(*.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (*.f64 x z) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 z x)))))))
38.9%
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 z (+.f64 y x))))
3.3%
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 z x)))
37.6%
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 y z)))
31.9%
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 y x)))
46.4%
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 x (+.f64 y (+.f64 z (/.f64 y (/.f64 x z)))))))
51.3%
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 x (+.f64 y (+.f64 z (/.f64 #s(literal 1 binary64) (/.f64 x (*.f64 z y))))))))
33.0%
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 x (+.f64 y z))))
21.7%
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 x (*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 y x))))))
36.7%
(*.f64 #s(literal 2 binary64) (sqrt.f64 (neg.f64 (*.f64 (*.f64 x z) (+.f64 (/.f64 (neg.f64 y) x) #s(literal -1 binary64))))))
35.1%
(*.f64 #s(literal 2 binary64) (exp.f64 (*.f64 (log.f64 (*.f64 z y)) #s(literal 1/2 binary64))))
29.9%
(*.f64 #s(literal 2 binary64) (exp.f64 (*.f64 (log.f64 (*.f64 y x)) #s(literal 1/2 binary64))))
22.2%
(*.f64 #s(literal 2 binary64) (cbrt.f64 (pow.f64 (*.f64 y x) #s(literal 3/2 binary64))))
Compiler

Compiled 1176 to 732 computations (37.8% saved)

localize246.0ms (1.8%)

Localize:

Found 15 expressions with local error:

NewAccuracyProgram
99.7%
(*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 x y)) (*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 y x)))))
95.1%
(sqrt.f64 (/.f64 x y))
94.1%
(*.f64 (sqrt.f64 (/.f64 x y)) (*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 y x))))
84.2%
(sqrt.f64 (*.f64 x y))
99.9%
(pow.f64 (*.f64 y x) #s(literal 3/2 binary64))
75.1%
(cbrt.f64 (pow.f64 (*.f64 y x) #s(literal 3/2 binary64)))
100.0%
(*.f64 x (-.f64 y z))
99.9%
(*.f64 (*.f64 x (+.f64 y z)) (*.f64 x (-.f64 y z)))
85.6%
(sqrt.f64 (+.f64 (/.f64 (*.f64 (*.f64 x (+.f64 y z)) (*.f64 x (-.f64 y z))) (*.f64 x (-.f64 y z))) (*.f64 y z)))
76.6%
(/.f64 (*.f64 (*.f64 x (+.f64 y z)) (*.f64 x (-.f64 y z))) (*.f64 x (-.f64 y z)))
92.5%
(sqrt.f64 (*.f64 z x))
100.0%
(+.f64 (*.f64 x z) (*.f64 x (*.f64 z (+.f64 (/.f64 y x) (/.f64 y z)))))
97.7%
(*.f64 z (+.f64 (/.f64 y x) (/.f64 y z)))
90.5%
(*.f64 x (*.f64 z (+.f64 (/.f64 y x) (/.f64 y z))))
85.6%
(sqrt.f64 (+.f64 (*.f64 x z) (*.f64 x (*.f64 z (+.f64 (/.f64 y x) (/.f64 y z))))))
Results
81.0ms134×256invalid
91.0ms122×256valid
Compiler

Compiled 354 to 83 computations (76.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 117.0ms
ival-mult: 53.0ms (45.4% of total)
ival-pow: 24.0ms (20.5% of total)
ival-add: 15.0ms (12.8% of total)
ival-sqrt: 9.0ms (7.7% of total)
ival-div: 8.0ms (6.8% of total)
ival-cbrt: 4.0ms (3.4% of total)
const: 3.0ms (2.6% of total)
ival-sub: 1.0ms (0.9% of total)

series234.0ms (1.7%)

Counts
15 → 409
Calls
Call 1
Inputs
#<alt (sqrt.f64 (+.f64 (*.f64 x z) (*.f64 x (*.f64 z (+.f64 (/.f64 y x) (/.f64 y z))))))>
#<alt (*.f64 x (*.f64 z (+.f64 (/.f64 y x) (/.f64 y z))))>
#<alt (*.f64 z (+.f64 (/.f64 y x) (/.f64 y z)))>
#<alt (+.f64 (*.f64 x z) (*.f64 x (*.f64 z (+.f64 (/.f64 y x) (/.f64 y z)))))>
#<alt (sqrt.f64 (*.f64 z x))>
#<alt (/.f64 (*.f64 (*.f64 x (+.f64 y z)) (*.f64 x (-.f64 y z))) (*.f64 x (-.f64 y z)))>
#<alt (sqrt.f64 (+.f64 (/.f64 (*.f64 (*.f64 x (+.f64 y z)) (*.f64 x (-.f64 y z))) (*.f64 x (-.f64 y z))) (*.f64 y z)))>
#<alt (*.f64 (*.f64 x (+.f64 y z)) (*.f64 x (-.f64 y z)))>
#<alt (*.f64 x (-.f64 y z))>
#<alt (cbrt.f64 (pow.f64 (*.f64 y x) #s(literal 3/2 binary64)))>
#<alt (pow.f64 (*.f64 y x) #s(literal 3/2 binary64))>
#<alt (sqrt.f64 (*.f64 x y))>
#<alt (*.f64 (sqrt.f64 (/.f64 x y)) (*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 y x))))>
#<alt (sqrt.f64 (/.f64 x y))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 x y)) (*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 y x)))))>
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))))))>
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#<alt (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 (*.f64 x y)) (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)) (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)) (cbrt.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64)))))>
#<alt (sqrt.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))>
#<alt (sqrt.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))>
#<alt (sqrt.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))>
#<alt (sqrt.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))>
#<alt (sqrt.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))>
#<alt (sqrt.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))>
#<alt (sqrt.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))>
#<alt (sqrt.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))>
#<alt (*.f64 (sqrt.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))>
#<alt (*.f64 (sqrt.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))>
#<alt (*.f64 (sqrt.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))>
#<alt (*.f64 (sqrt.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))>
#<alt (sqrt.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))>
#<alt (sqrt.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))>
#<alt (sqrt.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))>
#<alt (sqrt.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))>
#<alt (sqrt.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))>
#<alt (sqrt.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))>
#<alt (sqrt.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))>
#<alt (sqrt.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))>
#<alt (*.f64 (sqrt.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))>
#<alt (*.f64 (sqrt.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))>
#<alt (*.f64 (sqrt.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))>
#<alt (*.f64 (sqrt.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 (*.f64 x y)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))>
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#<alt (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 (*.f64 x y)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 (*.f64 x y)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 (*.f64 x y)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))>
#<alt (*.f64 (sqrt.f64 (/.f64 y x)) z)>
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#<alt (*.f64 (sqrt.f64 (/.f64 x y)) z)>
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#<alt (*.f64 (sqrt.f64 (/.f64 x y)) z)>
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#<alt (*.f64 (sqrt.f64 (/.f64 y x)) z)>
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#<alt (*.f64 y (+.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x y))) z) (*.f64 (sqrt.f64 (/.f64 x (pow.f64 y #s(literal 3 binary64)))) z)))>
#<alt (*.f64 y (+.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x y))) z) (*.f64 (sqrt.f64 (/.f64 x (pow.f64 y #s(literal 3 binary64)))) z)))>
#<alt (*.f64 (sqrt.f64 (/.f64 y x)) (*.f64 z (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))>
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#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x y))) (*.f64 z (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))) (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 (/.f64 x (pow.f64 y #s(literal 3 binary64)))) (*.f64 z (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x y))) (*.f64 z (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))) (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 (/.f64 x (pow.f64 y #s(literal 3 binary64)))) (*.f64 z (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 (/.f64 x y)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 (/.f64 x y)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 (/.f64 x y)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 (/.f64 x y)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))>
#<alt (*.f64 (sqrt.f64 (/.f64 x y)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))>
#<alt (*.f64 (sqrt.f64 (/.f64 x y)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))>
#<alt (*.f64 (sqrt.f64 (/.f64 x y)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))>
#<alt (*.f64 (sqrt.f64 (/.f64 x y)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 y x)) z))>
#<alt (/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (*.f64 x y)) z)) (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) y)) z))) x)>
#<alt (/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (*.f64 x y)) z)) (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) y)) z))) x)>
#<alt (/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (*.f64 x y)) z)) (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) y)) z))) x)>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 x y)) z))>
#<alt (*.f64 x (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x y))) z)) (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 y (pow.f64 x #s(literal 3 binary64)))) z))))>
#<alt (*.f64 x (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x y))) z)) (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 y (pow.f64 x #s(literal 3 binary64)))) z))))>
#<alt (*.f64 x (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x y))) z)) (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 y (pow.f64 x #s(literal 3 binary64)))) z))))>
#<alt (*.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 (/.f64 x y)) (*.f64 z (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 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 x y))) (*.f64 z (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))) (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 y (pow.f64 x #s(literal 3 binary64)))) (*.f64 z (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 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 x y))) (*.f64 z (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))) (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 y (pow.f64 x #s(literal 3 binary64)))) (*.f64 z (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 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 x y))) (*.f64 z (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))) (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 y (pow.f64 x #s(literal 3 binary64)))) (*.f64 z (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))))))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 x y)) z))>
#<alt (/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (*.f64 x y)) z)) (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) x)) z))) y)>
#<alt (/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (*.f64 x y)) z)) (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) x)) z))) y)>
#<alt (/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (*.f64 x y)) z)) (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) x)) z))) y)>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 y x)) z))>
#<alt (*.f64 y (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x y))) z)) (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 x (pow.f64 y #s(literal 3 binary64)))) z))))>
#<alt (*.f64 y (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x y))) z)) (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 x (pow.f64 y #s(literal 3 binary64)))) z))))>
#<alt (*.f64 y (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x y))) z)) (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 x (pow.f64 y #s(literal 3 binary64)))) z))))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 y x)) (*.f64 z (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x y))) (*.f64 z (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))) (*.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 (/.f64 x (pow.f64 y #s(literal 3 binary64)))) (*.f64 z (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x y))) (*.f64 z (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))) (*.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 (/.f64 x (pow.f64 y #s(literal 3 binary64)))) (*.f64 z (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x y))) (*.f64 z (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))) (*.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 (/.f64 x (pow.f64 y #s(literal 3 binary64)))) (*.f64 z (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))))))>
Calls

120 calls:

TimeVariablePointExpression
139.0ms
x
@0
(sqrt (+ (* x z) (* x (* z (+ (/ y x) (/ y z))))))
12.0ms
x
@0
(* x (* z (+ (/ y x) (/ y z))))
7.0ms
y
@-inf
(cbrt (pow (* y x) 3/2))
4.0ms
x
@0
(* x (- y z))
3.0ms
x
@0
(pow (* y x) 3/2)

rewrite189.0ms (1.3%)

Algorithm
batch-egg-rewrite
Rules
336×log1p-expm1-u
336×expm1-log1p-u
325×add-exp-log
325×add-log-exp
325×add-cube-cbrt
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
043659
1785535
Stop Event
node limit
Counts
15 → 379
Calls
Call 1
Inputs
(sqrt.f64 (+.f64 (*.f64 x z) (*.f64 x (*.f64 z (+.f64 (/.f64 y x) (/.f64 y z))))))
(*.f64 x (*.f64 z (+.f64 (/.f64 y x) (/.f64 y z))))
(*.f64 z (+.f64 (/.f64 y x) (/.f64 y z)))
(+.f64 (*.f64 x z) (*.f64 x (*.f64 z (+.f64 (/.f64 y x) (/.f64 y z)))))
(sqrt.f64 (*.f64 z x))
(/.f64 (*.f64 (*.f64 x (+.f64 y z)) (*.f64 x (-.f64 y z))) (*.f64 x (-.f64 y z)))
(sqrt.f64 (+.f64 (/.f64 (*.f64 (*.f64 x (+.f64 y z)) (*.f64 x (-.f64 y z))) (*.f64 x (-.f64 y z))) (*.f64 y z)))
(*.f64 (*.f64 x (+.f64 y z)) (*.f64 x (-.f64 y z)))
(*.f64 x (-.f64 y z))
(cbrt.f64 (pow.f64 (*.f64 y x) #s(literal 3/2 binary64)))
(pow.f64 (*.f64 y x) #s(literal 3/2 binary64))
(sqrt.f64 (*.f64 x y))
(*.f64 (sqrt.f64 (/.f64 x y)) (*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 y x))))
(sqrt.f64 (/.f64 x y))
(*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 x y)) (*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 y x)))))
Outputs
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (*.f64 x (+.f64 z (*.f64 z (+.f64 (/.f64 y x) (/.f64 y z))))) #s(literal 1/2 binary64)))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (pow.f64 (*.f64 x (+.f64 z (*.f64 z (+.f64 (/.f64 y x) (/.f64 y z))))) #s(literal 1/2 binary64)))
(*.f64 (cbrt.f64 (*.f64 x (+.f64 z (*.f64 z (+.f64 (/.f64 y x) (/.f64 y z)))))) (cbrt.f64 (pow.f64 (*.f64 x (+.f64 z (*.f64 z (+.f64 (/.f64 y x) (/.f64 y z))))) #s(literal 1/2 binary64))))
(*.f64 (pow.f64 x #s(literal 1/2 binary64)) (pow.f64 (+.f64 z (*.f64 z (+.f64 (/.f64 y x) (/.f64 y z)))) #s(literal 1/2 binary64)))
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(*.f64 (sqrt.f64 (cbrt.f64 (*.f64 (*.f64 x y) (*.f64 x y)))) (sqrt.f64 (cbrt.f64 (*.f64 x y))))
(pow.f64 (pow.f64 (*.f64 x y) #s(literal 3/2 binary64)) #s(literal 1/3 binary64))
(pow.f64 (*.f64 x y) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (*.f64 x y) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (pow.f64 (*.f64 x y) #s(literal 1/2 binary64))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 x y) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(sqrt.f64 (*.f64 x y))
(fabs.f64 (pow.f64 (*.f64 x y) #s(literal 1/2 binary64)))
(log.f64 (exp.f64 (pow.f64 (*.f64 x y) #s(literal 1/2 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (pow.f64 (*.f64 x y) #s(literal 1/2 binary64)))))
(cbrt.f64 (pow.f64 (*.f64 x y) #s(literal 3/2 binary64)))
(expm1.f64 (log1p.f64 (pow.f64 (*.f64 x y) #s(literal 1/2 binary64))))
(log1p.f64 (expm1.f64 (pow.f64 (*.f64 x y) #s(literal 1/2 binary64))))
(exp.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (*.f64 x y))))
(exp.f64 (*.f64 (log.f64 (*.f64 x y)) #s(literal 1/2 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (*.f64 x y))) #s(literal 1 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 3/2 binary64) (log.f64 (*.f64 x y))) #s(literal 1/3 binary64)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (pow.f64 (/.f64 x y) #s(literal 1/2 binary64)) (*.f64 z (+.f64 (/.f64 y x) #s(literal 1 binary64)))))) #s(literal 1 binary64))
(*.f64 (pow.f64 (/.f64 x y) #s(literal 1/2 binary64)) (*.f64 z (+.f64 (/.f64 y x) #s(literal 1 binary64))))
(*.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 x y) #s(literal 1/2 binary64)) (*.f64 z (+.f64 (/.f64 y x) #s(literal 1 binary64)))))
(*.f64 (*.f64 z (+.f64 (/.f64 y x) #s(literal 1 binary64))) (pow.f64 (/.f64 x y) #s(literal 1/2 binary64)))
(*.f64 (cbrt.f64 (pow.f64 (*.f64 (pow.f64 (/.f64 x y) #s(literal 1/2 binary64)) (*.f64 z (+.f64 (/.f64 y x) #s(literal 1 binary64)))) #s(literal 2 binary64))) (cbrt.f64 (*.f64 (pow.f64 (/.f64 x y) #s(literal 1/2 binary64)) (*.f64 z (+.f64 (/.f64 y x) #s(literal 1 binary64))))))
(*.f64 (*.f64 (pow.f64 (/.f64 x y) #s(literal 1/4 binary64)) (pow.f64 (*.f64 z (+.f64 (/.f64 y x) #s(literal 1 binary64))) #s(literal 1/2 binary64))) (*.f64 (pow.f64 (/.f64 x y) #s(literal 1/4 binary64)) (pow.f64 (*.f64 z (+.f64 (/.f64 y x) #s(literal 1 binary64))) #s(literal 1/2 binary64))))
(*.f64 (*.f64 (pow.f64 (/.f64 x y) #s(literal 1/2 binary64)) z) (+.f64 (/.f64 y x) #s(literal 1 binary64)))
(pow.f64 (*.f64 (pow.f64 (/.f64 x y) #s(literal 1/2 binary64)) (*.f64 z (+.f64 (/.f64 y x) #s(literal 1 binary64)))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 (pow.f64 (/.f64 x y) #s(literal 1/2 binary64)) (*.f64 z (+.f64 (/.f64 y x) #s(literal 1 binary64))))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 (pow.f64 (/.f64 x y) #s(literal 1/2 binary64)) (*.f64 z (+.f64 (/.f64 y x) #s(literal 1 binary64)))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (*.f64 (pow.f64 (/.f64 x y) #s(literal 1/4 binary64)) (pow.f64 (*.f64 z (+.f64 (/.f64 y x) #s(literal 1 binary64))) #s(literal 1/2 binary64))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 (pow.f64 (/.f64 x y) #s(literal 1/2 binary64)) (*.f64 z (+.f64 (/.f64 y x) #s(literal 1 binary64)))) #s(literal 2 binary64)))
(log.f64 (exp.f64 (*.f64 (pow.f64 (/.f64 x y) #s(literal 1/2 binary64)) (*.f64 z (+.f64 (/.f64 y x) #s(literal 1 binary64))))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (pow.f64 (/.f64 x y) #s(literal 1/2 binary64)) (*.f64 z (+.f64 (/.f64 y x) #s(literal 1 binary64)))))))
(cbrt.f64 (pow.f64 (*.f64 (pow.f64 (/.f64 x y) #s(literal 1/2 binary64)) (*.f64 z (+.f64 (/.f64 y x) #s(literal 1 binary64)))) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 x y) #s(literal 3/2 binary64)) (*.f64 (*.f64 (*.f64 z (+.f64 (/.f64 y x) #s(literal 1 binary64))) (*.f64 z (+.f64 (/.f64 y x) #s(literal 1 binary64)))) (*.f64 z (+.f64 (/.f64 y x) #s(literal 1 binary64))))))
(cbrt.f64 (*.f64 (*.f64 (*.f64 (*.f64 z (+.f64 (/.f64 y x) #s(literal 1 binary64))) (*.f64 z (+.f64 (/.f64 y x) #s(literal 1 binary64)))) (*.f64 z (+.f64 (/.f64 y x) #s(literal 1 binary64)))) (pow.f64 (/.f64 x y) #s(literal 3/2 binary64))))
(expm1.f64 (log1p.f64 (*.f64 (pow.f64 (/.f64 x y) #s(literal 1/2 binary64)) (*.f64 z (+.f64 (/.f64 y x) #s(literal 1 binary64))))))
(log1p.f64 (expm1.f64 (*.f64 (pow.f64 (/.f64 x y) #s(literal 1/2 binary64)) (*.f64 z (+.f64 (/.f64 y x) #s(literal 1 binary64))))))
(exp.f64 (log.f64 (*.f64 (pow.f64 (/.f64 x y) #s(literal 1/2 binary64)) (*.f64 z (+.f64 (/.f64 y x) #s(literal 1 binary64))))))
(exp.f64 (*.f64 (log.f64 (*.f64 (pow.f64 (/.f64 x y) #s(literal 1/2 binary64)) (*.f64 z (+.f64 (/.f64 y x) #s(literal 1 binary64))))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (/.f64 x y) #s(literal 1/2 binary64)))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (pow.f64 (/.f64 x y) #s(literal 1/2 binary64)))
(*.f64 (cbrt.f64 (/.f64 x y)) (cbrt.f64 (pow.f64 (/.f64 x y) #s(literal 1/2 binary64))))
(*.f64 (pow.f64 x #s(literal 1/2 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 x #s(literal 1/2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)))
(*.f64 (pow.f64 (/.f64 x y) #s(literal 1/4 binary64)) (pow.f64 (/.f64 x y) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/2 binary64)) (pow.f64 (/.f64 x y) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 (/.f64 x y) (/.f64 x y))) #s(literal 1/2 binary64)) (pow.f64 (cbrt.f64 (/.f64 x y)) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 (cbrt.f64 (*.f64 (/.f64 x y) (/.f64 x y)))) (sqrt.f64 (cbrt.f64 (/.f64 x y))))
(/.f64 #s(literal 1 binary64) (pow.f64 (/.f64 y x) #s(literal 1/2 binary64)))
(/.f64 (pow.f64 x #s(literal 1/2 binary64)) (pow.f64 y #s(literal 1/2 binary64)))
(/.f64 (sqrt.f64 (neg.f64 x)) (sqrt.f64 (neg.f64 y)))
(pow.f64 (/.f64 x y) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (/.f64 x y) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (pow.f64 (/.f64 x y) #s(literal 1/2 binary64))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (/.f64 x y) #s(literal 3/2 binary64)) #s(literal 1/3 binary64))
(pow.f64 (pow.f64 (/.f64 x y) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(sqrt.f64 (/.f64 x y))
(fabs.f64 (pow.f64 (/.f64 x y) #s(literal 1/2 binary64)))
(log.f64 (exp.f64 (pow.f64 (/.f64 x y) #s(literal 1/2 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (pow.f64 (/.f64 x y) #s(literal 1/2 binary64)))))
(cbrt.f64 (pow.f64 (/.f64 x y) #s(literal 3/2 binary64)))
(expm1.f64 (log1p.f64 (pow.f64 (/.f64 x y) #s(literal 1/2 binary64))))
(log1p.f64 (expm1.f64 (pow.f64 (/.f64 x y) #s(literal 1/2 binary64))))
(exp.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (/.f64 x y))))
(exp.f64 (*.f64 (log.f64 (/.f64 x y)) #s(literal 1/2 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (/.f64 x y))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 (/.f64 x y) #s(literal 1/2 binary64))) (*.f64 z (+.f64 (/.f64 y x) #s(literal 1 binary64)))))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 (/.f64 x y) #s(literal 1/2 binary64))) (*.f64 z (+.f64 (/.f64 y x) #s(literal 1 binary64)))))
(*.f64 (*.f64 (pow.f64 (/.f64 x y) #s(literal 1/2 binary64)) (*.f64 z (+.f64 (/.f64 y x) #s(literal 1 binary64)))) #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 (/.f64 x y) #s(literal 1/2 binary64)) (*.f64 z (+.f64 (/.f64 y x) #s(literal 1 binary64)))))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 (/.f64 x y) #s(literal 1/2 binary64))) (*.f64 z (+.f64 (/.f64 y x) #s(literal 1 binary64))))) #s(literal 2 binary64)) (cbrt.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 (/.f64 x y) #s(literal 1/2 binary64))) (*.f64 z (+.f64 (/.f64 y x) #s(literal 1 binary64))))))
(*.f64 (pow.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 (/.f64 x y) #s(literal 1/2 binary64))) (*.f64 z (+.f64 (/.f64 y x) #s(literal 1 binary64)))) #s(literal 1/2 binary64)) (pow.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 (/.f64 x y) #s(literal 1/2 binary64))) (*.f64 z (+.f64 (/.f64 y x) #s(literal 1 binary64)))) #s(literal 1/2 binary64)))
(*.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 (/.f64 x y) #s(literal 1/2 binary64))) (*.f64 z (+.f64 (/.f64 y x) #s(literal 1 binary64))))
(pow.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 (/.f64 x y) #s(literal 1/2 binary64))) (*.f64 z (+.f64 (/.f64 y x) #s(literal 1 binary64)))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 (/.f64 x y) #s(literal 1/2 binary64))) (*.f64 z (+.f64 (/.f64 y x) #s(literal 1 binary64))))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 (/.f64 x y) #s(literal 1/2 binary64))) (*.f64 z (+.f64 (/.f64 y x) #s(literal 1 binary64)))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (pow.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 (/.f64 x y) #s(literal 1/2 binary64))) (*.f64 z (+.f64 (/.f64 y x) #s(literal 1 binary64)))) #s(literal 1/2 binary64)) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 (/.f64 x y) #s(literal 1/2 binary64))) (*.f64 z (+.f64 (/.f64 y x) #s(literal 1 binary64)))) #s(literal 2 binary64)))
(log.f64 (exp.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 (/.f64 x y) #s(literal 1/2 binary64))) (*.f64 z (+.f64 (/.f64 y x) #s(literal 1 binary64))))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 (/.f64 x y) #s(literal 1/2 binary64))) (*.f64 z (+.f64 (/.f64 y x) #s(literal 1 binary64)))))))
(cbrt.f64 (pow.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 (/.f64 x y) #s(literal 1/2 binary64))) (*.f64 z (+.f64 (/.f64 y x) #s(literal 1 binary64)))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 (/.f64 x y) #s(literal 1/2 binary64))) (*.f64 z (+.f64 (/.f64 y x) #s(literal 1 binary64))))))
(log1p.f64 (expm1.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 (/.f64 x y) #s(literal 1/2 binary64))) (*.f64 z (+.f64 (/.f64 y x) #s(literal 1 binary64))))))
(exp.f64 (log.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 (/.f64 x y) #s(literal 1/2 binary64))) (*.f64 z (+.f64 (/.f64 y x) #s(literal 1 binary64))))))
(exp.f64 (*.f64 (log.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 (/.f64 x y) #s(literal 1/2 binary64))) (*.f64 z (+.f64 (/.f64 y x) #s(literal 1 binary64))))) #s(literal 1 binary64)))

simplify302.0ms (2.2%)

Algorithm
egg-herbie
Rules
938×fma-define
682×distribute-lft-in
653×distribute-rgt-in
469×times-frac
432×*-commutative
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0129844039
1360239138
Stop Event
node limit
Counts
788 → 667
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 y))
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(log1p.f64 (expm1.f64 (pow.f64 (/.f64 x y) #s(literal 1/2 binary64))))
(exp.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (/.f64 x y))))
(exp.f64 (*.f64 (log.f64 (/.f64 x y)) #s(literal 1/2 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (/.f64 x y))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 (/.f64 x y) #s(literal 1/2 binary64))) (*.f64 z (+.f64 (/.f64 y x) #s(literal 1 binary64)))))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 (/.f64 x y) #s(literal 1/2 binary64))) (*.f64 z (+.f64 (/.f64 y x) #s(literal 1 binary64)))))
(*.f64 (*.f64 (pow.f64 (/.f64 x y) #s(literal 1/2 binary64)) (*.f64 z (+.f64 (/.f64 y x) #s(literal 1 binary64)))) #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 (/.f64 x y) #s(literal 1/2 binary64)) (*.f64 z (+.f64 (/.f64 y x) #s(literal 1 binary64)))))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 (/.f64 x y) #s(literal 1/2 binary64))) (*.f64 z (+.f64 (/.f64 y x) #s(literal 1 binary64))))) #s(literal 2 binary64)) (cbrt.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 (/.f64 x y) #s(literal 1/2 binary64))) (*.f64 z (+.f64 (/.f64 y x) #s(literal 1 binary64))))))
(*.f64 (pow.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 (/.f64 x y) #s(literal 1/2 binary64))) (*.f64 z (+.f64 (/.f64 y x) #s(literal 1 binary64)))) #s(literal 1/2 binary64)) (pow.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 (/.f64 x y) #s(literal 1/2 binary64))) (*.f64 z (+.f64 (/.f64 y x) #s(literal 1 binary64)))) #s(literal 1/2 binary64)))
(*.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 (/.f64 x y) #s(literal 1/2 binary64))) (*.f64 z (+.f64 (/.f64 y x) #s(literal 1 binary64))))
(pow.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 (/.f64 x y) #s(literal 1/2 binary64))) (*.f64 z (+.f64 (/.f64 y x) #s(literal 1 binary64)))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 (/.f64 x y) #s(literal 1/2 binary64))) (*.f64 z (+.f64 (/.f64 y x) #s(literal 1 binary64))))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 (/.f64 x y) #s(literal 1/2 binary64))) (*.f64 z (+.f64 (/.f64 y x) #s(literal 1 binary64)))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (pow.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 (/.f64 x y) #s(literal 1/2 binary64))) (*.f64 z (+.f64 (/.f64 y x) #s(literal 1 binary64)))) #s(literal 1/2 binary64)) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 (/.f64 x y) #s(literal 1/2 binary64))) (*.f64 z (+.f64 (/.f64 y x) #s(literal 1 binary64)))) #s(literal 2 binary64)))
(log.f64 (exp.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 (/.f64 x y) #s(literal 1/2 binary64))) (*.f64 z (+.f64 (/.f64 y x) #s(literal 1 binary64))))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 (/.f64 x y) #s(literal 1/2 binary64))) (*.f64 z (+.f64 (/.f64 y x) #s(literal 1 binary64)))))))
(cbrt.f64 (pow.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 (/.f64 x y) #s(literal 1/2 binary64))) (*.f64 z (+.f64 (/.f64 y x) #s(literal 1 binary64)))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 (/.f64 x y) #s(literal 1/2 binary64))) (*.f64 z (+.f64 (/.f64 y x) #s(literal 1 binary64))))))
(log1p.f64 (expm1.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 (/.f64 x y) #s(literal 1/2 binary64))) (*.f64 z (+.f64 (/.f64 y x) #s(literal 1 binary64))))))
(exp.f64 (log.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 (/.f64 x y) #s(literal 1/2 binary64))) (*.f64 z (+.f64 (/.f64 y x) #s(literal 1 binary64))))))
(exp.f64 (*.f64 (log.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 (/.f64 x y) #s(literal 1/2 binary64))) (*.f64 z (+.f64 (/.f64 y x) #s(literal 1 binary64))))) #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))))))
(fma.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x (+.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))))))
(fma.f64 x (fma.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 y z))) (+.f64 y z)) (*.f64 (*.f64 #s(literal -1/8 binary64) (*.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)))))) (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))))))))))))
(fma.f64 x (fma.f64 x (fma.f64 (*.f64 #s(literal 1/16 binary64) (*.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 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y z) #s(literal 3 binary64)))) (pow.f64 (+.f64 y z) #s(literal 2 binary64))))) (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 y z))) (+.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 (fma.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)) (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 1/2 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 -1/8 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 (*.f64 y y) (*.f64 z 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 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 x #s(literal 5 binary64)) (pow.f64 (+.f64 y z) #s(literal 3 binary64))))) (*.f64 (*.f64 y y) (*.f64 z z))) (fma.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 1/16 binary64) (*.f64 (pow.f64 (*.f64 y z) #s(literal 3 binary64)) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 7 binary64))) (pow.f64 (+.f64 y z) #s(literal 5 binary64))))))))))
(*.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 (sqrt.f64 (neg.f64 (*.f64 x (+.f64 y z)))) (neg.f64 (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 (fma.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (neg.f64 y) z)))) (*.f64 (*.f64 y z) (sqrt.f64 #s(literal -1 binary64)))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 (-.f64 (neg.f64 y) z) x)))) (neg.f64 x))
(*.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 (fma.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64))) (pow.f64 (-.f64 (neg.f64 y) z) #s(literal 3 binary64)))) (*.f64 (*.f64 y y) (*.f64 (*.f64 z z) (sqrt.f64 #s(literal -1 binary64))))) (fma.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (neg.f64 y) z)))) (*.f64 (*.f64 y z) (sqrt.f64 #s(literal -1 binary64)))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 (-.f64 (neg.f64 y) z) x))))) (neg.f64 x))
(*.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))))))))
(*.f64 (fma.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64))) (pow.f64 (-.f64 (neg.f64 y) z) #s(literal 3 binary64)))) (*.f64 (*.f64 y y) (*.f64 (*.f64 z z) (sqrt.f64 #s(literal -1 binary64))))) (fma.f64 #s(literal 1/16 binary64) (*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 7 binary64))) (pow.f64 (-.f64 (neg.f64 y) z) #s(literal 5 binary64)))) (*.f64 (pow.f64 (*.f64 y z) #s(literal 3 binary64)) (sqrt.f64 #s(literal -1 binary64)))) (fma.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (neg.f64 y) z)))) (*.f64 (*.f64 y z) (sqrt.f64 #s(literal -1 binary64)))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 (-.f64 (neg.f64 y) z) x)))))) (neg.f64 x))
(sqrt.f64 (*.f64 x y))
(sqrt.f64 (*.f64 y x))
(+.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)))))
(fma.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 y x))) (*.f64 z (+.f64 y x))) (sqrt.f64 (*.f64 y x)))
(+.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))))))
(fma.f64 z (fma.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))) (*.f64 z (pow.f64 (+.f64 y x) #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 y x))) (+.f64 y x)))) (sqrt.f64 (*.f64 y x)))
(+.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))))))))))
(fma.f64 z (fma.f64 z (fma.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))) (pow.f64 (+.f64 y x) #s(literal 2 binary64))) (*.f64 #s(literal 1/16 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 y #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))))) (*.f64 z (pow.f64 (+.f64 y x) #s(literal 3 binary64)))))) (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 y x))) (+.f64 y x)))) (sqrt.f64 (*.f64 y x)))
(sqrt.f64 (*.f64 z (+.f64 x y)))
(sqrt.f64 (*.f64 z (+.f64 y x)))
(*.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 (fma.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 y x)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 z #s(literal 3 binary64)) (+.f64 y x)))) (sqrt.f64 (/.f64 (+.f64 y x) z))))
(*.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)))))))))
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(*.f64 (sqrt.f64 (/.f64 x y)) (*.f64 (fma.f64 z (/.f64 y x) z) #s(literal 1/2 binary64)))
(*.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 (/.f64 x y) #s(literal 1/2 binary64))) (*.f64 z (+.f64 (/.f64 y x) #s(literal 1 binary64))))
(*.f64 (sqrt.f64 (/.f64 x y)) (*.f64 (fma.f64 z (/.f64 y x) z) #s(literal 1/2 binary64)))
(pow.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 (/.f64 x y) #s(literal 1/2 binary64))) (*.f64 z (+.f64 (/.f64 y x) #s(literal 1 binary64)))) #s(literal 1 binary64))
(*.f64 (sqrt.f64 (/.f64 x y)) (*.f64 (fma.f64 z (/.f64 y x) z) #s(literal 1/2 binary64)))
(pow.f64 (cbrt.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 (/.f64 x y) #s(literal 1/2 binary64))) (*.f64 z (+.f64 (/.f64 y x) #s(literal 1 binary64))))) #s(literal 3 binary64))
(*.f64 (sqrt.f64 (/.f64 x y)) (*.f64 (fma.f64 z (/.f64 y x) z) #s(literal 1/2 binary64)))
(pow.f64 (pow.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 (/.f64 x y) #s(literal 1/2 binary64))) (*.f64 z (+.f64 (/.f64 y x) #s(literal 1 binary64)))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(*.f64 (sqrt.f64 (/.f64 x y)) (*.f64 (fma.f64 z (/.f64 y x) z) #s(literal 1/2 binary64)))
(pow.f64 (pow.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 (/.f64 x y) #s(literal 1/2 binary64))) (*.f64 z (+.f64 (/.f64 y x) #s(literal 1 binary64)))) #s(literal 1/2 binary64)) #s(literal 2 binary64))
(*.f64 (sqrt.f64 (/.f64 x y)) (*.f64 (fma.f64 z (/.f64 y x) z) #s(literal 1/2 binary64)))
(sqrt.f64 (pow.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 (/.f64 x y) #s(literal 1/2 binary64))) (*.f64 z (+.f64 (/.f64 y x) #s(literal 1 binary64)))) #s(literal 2 binary64)))
(fabs.f64 (*.f64 (sqrt.f64 (/.f64 x y)) (*.f64 (fma.f64 z (/.f64 y x) z) #s(literal 1/2 binary64))))
(log.f64 (exp.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 (/.f64 x y) #s(literal 1/2 binary64))) (*.f64 z (+.f64 (/.f64 y x) #s(literal 1 binary64))))))
(*.f64 (sqrt.f64 (/.f64 x y)) (*.f64 (fma.f64 z (/.f64 y x) z) #s(literal 1/2 binary64)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 (/.f64 x y) #s(literal 1/2 binary64))) (*.f64 z (+.f64 (/.f64 y x) #s(literal 1 binary64)))))))
(*.f64 (sqrt.f64 (/.f64 x y)) (*.f64 (fma.f64 z (/.f64 y x) z) #s(literal 1/2 binary64)))
(cbrt.f64 (pow.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 (/.f64 x y) #s(literal 1/2 binary64))) (*.f64 z (+.f64 (/.f64 y x) #s(literal 1 binary64)))) #s(literal 3 binary64)))
(*.f64 (sqrt.f64 (/.f64 x y)) (*.f64 (fma.f64 z (/.f64 y x) z) #s(literal 1/2 binary64)))
(expm1.f64 (log1p.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 (/.f64 x y) #s(literal 1/2 binary64))) (*.f64 z (+.f64 (/.f64 y x) #s(literal 1 binary64))))))
(expm1.f64 (log1p.f64 (*.f64 (sqrt.f64 (/.f64 x y)) (*.f64 (fma.f64 z (/.f64 y x) z) #s(literal 1/2 binary64)))))
(log1p.f64 (expm1.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 (/.f64 x y) #s(literal 1/2 binary64))) (*.f64 z (+.f64 (/.f64 y x) #s(literal 1 binary64))))))
(*.f64 (sqrt.f64 (/.f64 x y)) (*.f64 (fma.f64 z (/.f64 y x) z) #s(literal 1/2 binary64)))
(exp.f64 (log.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 (/.f64 x y) #s(literal 1/2 binary64))) (*.f64 z (+.f64 (/.f64 y x) #s(literal 1 binary64))))))
(*.f64 (sqrt.f64 (/.f64 x y)) (*.f64 (fma.f64 z (/.f64 y x) z) #s(literal 1/2 binary64)))
(exp.f64 (*.f64 (log.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 (/.f64 x y) #s(literal 1/2 binary64))) (*.f64 z (+.f64 (/.f64 y x) #s(literal 1 binary64))))) #s(literal 1 binary64)))
(*.f64 (sqrt.f64 (/.f64 x y)) (*.f64 (fma.f64 z (/.f64 y x) z) #s(literal 1/2 binary64)))

eval850.0ms (6.1%)

Compiler

Compiled 37770 to 16437 computations (56.5% saved)

prune422.0ms (3%)

Pruning

37 alts after pruning (31 fresh and 6 done)

PrunedKeptTotal
New1518151533
Fresh41620
Picked235
Done134
Total1525371562
Accuracy
82.7%
Counts
1562 → 37
Alt Table
Click to see full alt table
StatusAccuracyProgram
3.4%
(*.f64 #s(literal 2 binary64) (pow.f64 (pow.f64 (*.f64 x z) #s(literal 1/4 binary64)) #s(literal 2 binary64)))
32.1%
(*.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))))))
3.4%
(*.f64 #s(literal 2 binary64) (+.f64 (sqrt.f64 (*.f64 x z)) (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (*.f64 x z)) (*.f64 y (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) z)))))))
25.8%
(*.f64 #s(literal 2 binary64) (+.f64 (sqrt.f64 (*.f64 x y)) (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 x y)) (*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 y x)))))))
26.5%
(*.f64 #s(literal 2 binary64) (+.f64 (sqrt.f64 (*.f64 x y)) (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 x y)) z))))
25.8%
(*.f64 #s(literal 2 binary64) (+.f64 (sqrt.f64 (*.f64 x y)) (*.f64 #s(literal 1/2 binary64) (*.f64 (expm1.f64 (log1p.f64 (sqrt.f64 (/.f64 x y)))) (*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 y x)))))))
25.8%
(*.f64 #s(literal 2 binary64) (+.f64 (sqrt.f64 (*.f64 x y)) (*.f64 #s(literal 1/2 binary64) (*.f64 (exp.f64 (*.f64 (log.f64 (/.f64 x y)) #s(literal 1/2 binary64))) (*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 y x)))))))
17.4%
(*.f64 #s(literal 2 binary64) (+.f64 (sqrt.f64 (*.f64 x y)) (*.f64 #s(literal 1/2 binary64) (*.f64 (cbrt.f64 (pow.f64 (/.f64 x y) #s(literal 3/2 binary64))) (*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 y x)))))))
15.2%
(*.f64 #s(literal 2 binary64) (+.f64 (sqrt.f64 (*.f64 x y)) (*.f64 #s(literal 1/2 binary64) (exp.f64 (log.f64 (*.f64 (pow.f64 (/.f64 x y) #s(literal 1/2 binary64)) (*.f64 z (+.f64 (/.f64 y x) #s(literal 1 binary64)))))))))
15.2%
(*.f64 #s(literal 2 binary64) (+.f64 (sqrt.f64 (*.f64 x y)) (exp.f64 (log.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 (/.f64 x y) #s(literal 1/2 binary64))) (*.f64 z (+.f64 (/.f64 y x) #s(literal 1 binary64))))))))
9.3%
(*.f64 #s(literal 2 binary64) (*.f64 (*.f64 (pow.f64 (+.f64 (*.f64 y (/.f64 z x)) (+.f64 z y)) #s(literal 1/2 binary64)) (pow.f64 x #s(literal 1/4 binary64))) (pow.f64 x #s(literal 1/4 binary64))))
23.3%
(*.f64 #s(literal 2 binary64) (*.f64 (*.f64 z (+.f64 (sqrt.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 y x)) z)) (*.f64 (*.f64 #s(literal 1/2 binary64) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 y x)) (pow.f64 z #s(literal 3 binary64)))))))) (pow.f64 x #s(literal 1/2 binary64))))
12.0%
(*.f64 #s(literal 2 binary64) (*.f64 (sqrt.f64 (*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 y x)))) (pow.f64 x #s(literal 1/2 binary64))))
8.4%
(*.f64 #s(literal 2 binary64) (*.f64 (sqrt.f64 (*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 z x)))) (pow.f64 x #s(literal 1/2 binary64))))
49.2%
(*.f64 #s(literal 2 binary64) (*.f64 (sqrt.f64 y) (sqrt.f64 z)))
40.1%
(*.f64 #s(literal 2 binary64) (*.f64 z (+.f64 (sqrt.f64 (/.f64 (+.f64 y x) z)) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 y x)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 z #s(literal 3 binary64)) (+.f64 y x))))))))
40.6%
(*.f64 #s(literal 2 binary64) (*.f64 z (+.f64 (sqrt.f64 (/.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 y x))) z)) (*.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 (/.f64 x (pow.f64 z #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (/.f64 y x))))) y))))
12.8%
(*.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 (+.f64 (*.f64 (*.f64 x z) (*.f64 (*.f64 x z) (*.f64 x z))) (*.f64 (*.f64 y (+.f64 x z)) (*.f64 y (*.f64 (+.f64 x z) (*.f64 y (+.f64 x z)))))) (+.f64 (*.f64 (*.f64 x z) (*.f64 x z)) (*.f64 (*.f64 y z) (*.f64 y z))))))
47.3%
(*.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (/.f64 (*.f64 (*.f64 (*.f64 x (+.f64 z y)) x) (-.f64 y z)) (*.f64 x (-.f64 y z))) (*.f64 y z))))
49.1%
(*.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (*.f64 (*.f64 (*.f64 x (-.f64 y z)) (*.f64 x (+.f64 z y))) (/.f64 #s(literal 1 binary64) (*.f64 x (-.f64 y z)))) (*.f64 y z))))
64.3%
(*.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (*.f64 x z) (*.f64 (*.f64 z x) (+.f64 (/.f64 y x) (/.f64 y z))))))
16.4%
(*.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (*.f64 x z) (*.f64 x (*.f64 y (/.f64 z x))))))
38.9%
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 z (+.f64 y x))))
3.3%
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 z x)))
37.6%
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 y z)))
31.9%
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 y x)))
50.2%
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 x (+.f64 z (*.f64 z (+.f64 (/.f64 y x) (/.f64 y z)))))))
46.4%
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 x (+.f64 y (+.f64 z (/.f64 y (/.f64 x z)))))))
51.3%
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 x (+.f64 y (+.f64 z (/.f64 #s(literal 1 binary64) (/.f64 x (*.f64 z y))))))))
33.0%
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 x (+.f64 y z))))
21.7%
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 x (*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 y x))))))
44.5%
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 x (*.f64 y (*.f64 z (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) z)))))))
36.7%
(*.f64 #s(literal 2 binary64) (sqrt.f64 (neg.f64 (*.f64 (*.f64 x z) (+.f64 (/.f64 (neg.f64 y) x) #s(literal -1 binary64))))))
35.1%
(*.f64 #s(literal 2 binary64) (exp.f64 (*.f64 (log.f64 (*.f64 z y)) #s(literal 1/2 binary64))))
29.9%
(*.f64 #s(literal 2 binary64) (exp.f64 (*.f64 (log.f64 (*.f64 y x)) #s(literal 1/2 binary64))))
3.1%
(*.f64 #s(literal 2 binary64) (cbrt.f64 (pow.f64 (*.f64 z x) #s(literal 3/2 binary64))))
22.2%
(*.f64 #s(literal 2 binary64) (cbrt.f64 (pow.f64 (*.f64 y x) #s(literal 3/2 binary64))))
Compiler

Compiled 2015 to 1090 computations (45.9% saved)

regimes204.0ms (1.5%)

Counts
66 → 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 x (+.f64 y z))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 z (+.f64 y x))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 x (*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 y x))))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (neg.f64 (*.f64 (*.f64 x z) (+.f64 (/.f64 (neg.f64 y) x) #s(literal -1 binary64))))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 x (+.f64 y (+.f64 z (/.f64 y (/.f64 x z)))))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 x (+.f64 y (+.f64 z (/.f64 (*.f64 y z) x))))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (*.f64 x z) (*.f64 x (*.f64 y (/.f64 z x))))))
(*.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 x (*.f64 y (*.f64 z (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) z)))))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 x (+.f64 y (+.f64 z (/.f64 #s(literal 1 binary64) (/.f64 x (*.f64 z y))))))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 x (+.f64 z (*.f64 z (+.f64 (/.f64 y x) (/.f64 y z)))))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (*.f64 x z) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 z x)))))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (*.f64 x z) (*.f64 x (*.f64 z (+.f64 (/.f64 y x) (/.f64 y z)))))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (*.f64 x z) (*.f64 (*.f64 z x) (+.f64 (/.f64 y x) (/.f64 y z))))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (/.f64 (*.f64 (*.f64 x (+.f64 y z)) (*.f64 x (-.f64 y z))) (*.f64 x (-.f64 y z))) (*.f64 y z))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (/.f64 (*.f64 (*.f64 (*.f64 x (+.f64 z y)) x) (-.f64 y z)) (*.f64 x (-.f64 y z))) (*.f64 y z))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (*.f64 (*.f64 (*.f64 x (+.f64 y z)) (*.f64 x (-.f64 y z))) (/.f64 #s(literal 1 binary64) (*.f64 x (-.f64 y z)))) (*.f64 y z))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (*.f64 (*.f64 (*.f64 x (-.f64 y z)) (*.f64 x (+.f64 z y))) (/.f64 #s(literal 1 binary64) (*.f64 x (-.f64 y z)))) (*.f64 y z))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (*.f64 x z) (*.f64 x (/.f64 (-.f64 (*.f64 y y) (*.f64 (*.f64 y (/.f64 z x)) (*.f64 y (/.f64 z x)))) (-.f64 y (*.f64 y (/.f64 z x))))))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 (-.f64 (*.f64 (*.f64 x z) (*.f64 x z)) (*.f64 y (*.f64 (+.f64 x z) (*.f64 y (+.f64 x z))))) (-.f64 (*.f64 x z) (*.f64 y (+.f64 x z))))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 (-.f64 (*.f64 (*.f64 x (+.f64 y z)) (*.f64 x (+.f64 y z))) (*.f64 (*.f64 y z) (*.f64 y z))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x (+.f64 y z)) (*.f64 y z))))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 (+.f64 (*.f64 (*.f64 x z) (*.f64 (*.f64 x z) (*.f64 x z))) (*.f64 (*.f64 y (+.f64 x z)) (*.f64 y (*.f64 (+.f64 x z) (*.f64 y (+.f64 x z)))))) (+.f64 (*.f64 (*.f64 x z) (*.f64 x z)) (*.f64 (*.f64 y z) (*.f64 y z))))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 (+.f64 (*.f64 (*.f64 x z) (*.f64 (*.f64 x z) (*.f64 x z))) (*.f64 (*.f64 y (+.f64 x z)) (*.f64 y (*.f64 (+.f64 x z) (*.f64 y (+.f64 x z)))))) (+.f64 (*.f64 (*.f64 x z) (*.f64 x z)) (-.f64 (*.f64 y (*.f64 (+.f64 x z) (*.f64 y (+.f64 x z)))) (*.f64 (*.f64 x z) (*.f64 y (+.f64 x z))))))))
(*.f64 #s(literal 2 binary64) (*.f64 (sqrt.f64 y) (sqrt.f64 x)))
(*.f64 #s(literal 2 binary64) (*.f64 (sqrt.f64 y) (sqrt.f64 z)))
(*.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 x) #s(literal 3/2 binary64))))
(*.f64 #s(literal 2 binary64) (exp.f64 (*.f64 (log.f64 (*.f64 y x)) #s(literal 1/2 binary64))))
(*.f64 #s(literal 2 binary64) (exp.f64 (*.f64 (log.f64 (*.f64 z y)) #s(literal 1/2 binary64))))
(*.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) (sqrt.f64 (fma.f64 x z (*.f64 y (+.f64 x z)))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (fma.f64 z y (*.f64 x (+.f64 y z)))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 x (+.f64 y (fma.f64 y (/.f64 z x) z)))))
(*.f64 #s(literal 2 binary64) (cbrt.f64 (pow.f64 (+.f64 (*.f64 x y) (*.f64 z (+.f64 x y))) #s(literal 3/2 binary64))))
(*.f64 #s(literal 2 binary64) (*.f64 (sqrt.f64 (*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 z x)))) (pow.f64 x #s(literal 1/2 binary64))))
(*.f64 #s(literal 2 binary64) (*.f64 (sqrt.f64 (*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 y x)))) (pow.f64 x #s(literal 1/2 binary64))))
(*.f64 #s(literal 2 binary64) (exp.f64 (*.f64 (log.f64 (+.f64 (*.f64 x y) (*.f64 z (+.f64 x y)))) #s(literal 1/2 binary64))))
(*.f64 #s(literal 2 binary64) (+.f64 (sqrt.f64 (*.f64 x y)) (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 x y)) z))))
(*.f64 #s(literal 2 binary64) (+.f64 (sqrt.f64 (*.f64 y z)) (*.f64 #s(literal 1/2 binary64) (*.f64 x (sqrt.f64 (/.f64 z y))))))
(*.f64 #s(literal 2 binary64) (pow.f64 (pow.f64 (+.f64 (*.f64 x y) (*.f64 z (+.f64 x y))) #s(literal 1/4 binary64)) #s(literal 2 binary64)))
(*.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 (pow.f64 (+.f64 y (+.f64 z (*.f64 y (/.f64 z x)))) #s(literal 1/2 binary64)) (pow.f64 x #s(literal 1/2 binary64))))
(*.f64 #s(literal 2 binary64) (+.f64 (sqrt.f64 (*.f64 x y)) (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 x y)) (*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 y x)))))))
(*.f64 #s(literal 2 binary64) (+.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 #s(literal 2 binary64) (+.f64 (sqrt.f64 (*.f64 x z)) (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (*.f64 x z)) (*.f64 y (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) z)))))))
(*.f64 #s(literal 2 binary64) (/.f64 (sqrt.f64 (-.f64 (*.f64 (*.f64 x (+.f64 y z)) (*.f64 x (+.f64 y z))) (*.f64 (*.f64 y z) (*.f64 y z)))) (sqrt.f64 (-.f64 (*.f64 x (+.f64 y z)) (*.f64 y z)))))
(*.f64 #s(literal 2 binary64) (pow.f64 (cbrt.f64 (pow.f64 (*.f64 y x) #s(literal 1/2 binary64))) #s(literal 3 binary64)))
(*.f64 #s(literal 2 binary64) (*.f64 (*.f64 (pow.f64 (+.f64 (*.f64 y (/.f64 z x)) (+.f64 z y)) #s(literal 1/2 binary64)) (pow.f64 x #s(literal 1/4 binary64))) (pow.f64 x #s(literal 1/4 binary64))))
(*.f64 #s(literal 2 binary64) (+.f64 (*.f64 (sqrt.f64 y) (sqrt.f64 z)) (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x (+.f64 y z)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 y z)))))))
(*.f64 #s(literal 2 binary64) (+.f64 (sqrt.f64 (*.f64 x y)) (*.f64 #s(literal 1/2 binary64) (*.f64 (cbrt.f64 (pow.f64 (/.f64 x y) #s(literal 3/2 binary64))) (*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 y x)))))))
(*.f64 #s(literal 2 binary64) (+.f64 (sqrt.f64 (*.f64 x y)) (*.f64 #s(literal 1/2 binary64) (*.f64 (exp.f64 (*.f64 (log.f64 (/.f64 x y)) #s(literal 1/2 binary64))) (*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 y x)))))))
(*.f64 #s(literal 2 binary64) (*.f64 (cbrt.f64 (pow.f64 (+.f64 (*.f64 x y) (*.f64 z (+.f64 x y))) #s(literal 1/2 binary64))) (cbrt.f64 (+.f64 (*.f64 x y) (*.f64 z (+.f64 x y))))))
(*.f64 #s(literal 2 binary64) (*.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 #s(literal 2 binary64) (*.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 #s(literal 2 binary64) (*.f64 z (+.f64 (sqrt.f64 (/.f64 (+.f64 x y) z)) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x y)) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 3 binary64))) (+.f64 x y)))))))
(*.f64 #s(literal 2 binary64) (*.f64 z (+.f64 (sqrt.f64 (/.f64 (+.f64 y x) z)) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 y x)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 z #s(literal 3 binary64)) (+.f64 y x))))))))
(*.f64 #s(literal 2 binary64) (*.f64 z (+.f64 (sqrt.f64 (/.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 y x))) z)) (*.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 (/.f64 x (pow.f64 z #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (/.f64 y x))))) y))))
(*.f64 #s(literal 2 binary64) (+.f64 (sqrt.f64 (*.f64 x y)) (*.f64 #s(literal 1/2 binary64) (*.f64 (expm1.f64 (log1p.f64 (sqrt.f64 (/.f64 x y)))) (*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 y x)))))))
(*.f64 #s(literal 2 binary64) (+.f64 (sqrt.f64 (*.f64 x y)) (exp.f64 (log.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 (/.f64 x y) #s(literal 1/2 binary64))) (*.f64 z (+.f64 (/.f64 y x) #s(literal 1 binary64))))))))
(*.f64 #s(literal 2 binary64) (+.f64 (sqrt.f64 (*.f64 x y)) (*.f64 #s(literal 1/2 binary64) (exp.f64 (log.f64 (*.f64 (pow.f64 (/.f64 x y) #s(literal 1/2 binary64)) (*.f64 z (+.f64 (/.f64 y x) #s(literal 1 binary64)))))))))
(*.f64 #s(literal 2 binary64) (*.f64 (*.f64 z (+.f64 (sqrt.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 y x)) z)) (*.f64 (*.f64 #s(literal 1/2 binary64) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 y x)) (pow.f64 z #s(literal 3 binary64)))))))) (pow.f64 x #s(literal 1/2 binary64))))
(*.f64 #s(literal 2 binary64) (fma.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 (*.f64 #s(literal -1/8 binary64) (*.f64 (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))))))))) (sqrt.f64 (*.f64 y z))))
Outputs
(*.f64 #s(literal 2 binary64) (sqrt.f64 (fma.f64 z y (*.f64 x (+.f64 y z)))))
(*.f64 #s(literal 2 binary64) (*.f64 (sqrt.f64 y) (sqrt.f64 z)))
Calls

6 calls:

43.0ms
z
32.0ms
x
32.0ms
y
32.0ms
(*.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (+.f64 (*.f64 x y) (*.f64 x z)) (*.f64 y z))))
29.0ms
(+.f64 (+.f64 (*.f64 x y) (*.f64 x z)) (*.f64 y z))
Results
AccuracySegmentsBranch
76.7%2x
80.6%2y
80.0%2z
79.4%2(*.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (+.f64 (*.f64 x y) (*.f64 x z)) (*.f64 y z))))
79.4%2(sqrt.f64 (+.f64 (+.f64 (*.f64 x y) (*.f64 x z)) (*.f64 y z)))
79.4%2(+.f64 (+.f64 (*.f64 x y) (*.f64 x z)) (*.f64 y z))
Compiler

Compiled 58 to 37 computations (36.2% saved)

regimes23.0ms (0.2%)

Counts
35 → 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 x (+.f64 y z))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 z (+.f64 y x))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 x (*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 y x))))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (neg.f64 (*.f64 (*.f64 x z) (+.f64 (/.f64 (neg.f64 y) x) #s(literal -1 binary64))))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 x (+.f64 y (+.f64 z (/.f64 y (/.f64 x z)))))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 x (+.f64 y (+.f64 z (/.f64 (*.f64 y z) x))))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (*.f64 x z) (*.f64 x (*.f64 y (/.f64 z x))))))
(*.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 x (*.f64 y (*.f64 z (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) z)))))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 x (+.f64 y (+.f64 z (/.f64 #s(literal 1 binary64) (/.f64 x (*.f64 z y))))))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 x (+.f64 z (*.f64 z (+.f64 (/.f64 y x) (/.f64 y z)))))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (*.f64 x z) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 z x)))))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (*.f64 x z) (*.f64 x (*.f64 z (+.f64 (/.f64 y x) (/.f64 y z)))))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (*.f64 x z) (*.f64 (*.f64 z x) (+.f64 (/.f64 y x) (/.f64 y z))))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (/.f64 (*.f64 (*.f64 x (+.f64 y z)) (*.f64 x (-.f64 y z))) (*.f64 x (-.f64 y z))) (*.f64 y z))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (/.f64 (*.f64 (*.f64 (*.f64 x (+.f64 z y)) x) (-.f64 y z)) (*.f64 x (-.f64 y z))) (*.f64 y z))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (*.f64 (*.f64 (*.f64 x (+.f64 y z)) (*.f64 x (-.f64 y z))) (/.f64 #s(literal 1 binary64) (*.f64 x (-.f64 y z)))) (*.f64 y z))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (*.f64 (*.f64 (*.f64 x (-.f64 y z)) (*.f64 x (+.f64 z y))) (/.f64 #s(literal 1 binary64) (*.f64 x (-.f64 y z)))) (*.f64 y z))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (*.f64 x z) (*.f64 x (/.f64 (-.f64 (*.f64 y y) (*.f64 (*.f64 y (/.f64 z x)) (*.f64 y (/.f64 z x)))) (-.f64 y (*.f64 y (/.f64 z x))))))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 (-.f64 (*.f64 (*.f64 x z) (*.f64 x z)) (*.f64 y (*.f64 (+.f64 x z) (*.f64 y (+.f64 x z))))) (-.f64 (*.f64 x z) (*.f64 y (+.f64 x z))))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 (-.f64 (*.f64 (*.f64 x (+.f64 y z)) (*.f64 x (+.f64 y z))) (*.f64 (*.f64 y z) (*.f64 y z))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x (+.f64 y z)) (*.f64 y z))))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 (+.f64 (*.f64 (*.f64 x z) (*.f64 (*.f64 x z) (*.f64 x z))) (*.f64 (*.f64 y (+.f64 x z)) (*.f64 y (*.f64 (+.f64 x z) (*.f64 y (+.f64 x z)))))) (+.f64 (*.f64 (*.f64 x z) (*.f64 x z)) (*.f64 (*.f64 y z) (*.f64 y z))))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 (+.f64 (*.f64 (*.f64 x z) (*.f64 (*.f64 x z) (*.f64 x z))) (*.f64 (*.f64 y (+.f64 x z)) (*.f64 y (*.f64 (+.f64 x z) (*.f64 y (+.f64 x z)))))) (+.f64 (*.f64 (*.f64 x z) (*.f64 x z)) (-.f64 (*.f64 y (*.f64 (+.f64 x z) (*.f64 y (+.f64 x z)))) (*.f64 (*.f64 x z) (*.f64 y (+.f64 x z))))))))
(*.f64 #s(literal 2 binary64) (*.f64 (sqrt.f64 y) (sqrt.f64 x)))
(*.f64 #s(literal 2 binary64) (*.f64 (sqrt.f64 y) (sqrt.f64 z)))
(*.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 x) #s(literal 3/2 binary64))))
(*.f64 #s(literal 2 binary64) (exp.f64 (*.f64 (log.f64 (*.f64 y x)) #s(literal 1/2 binary64))))
(*.f64 #s(literal 2 binary64) (exp.f64 (*.f64 (log.f64 (*.f64 z y)) #s(literal 1/2 binary64))))
(*.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) (sqrt.f64 (fma.f64 x z (*.f64 y (+.f64 x z)))))
Outputs
(*.f64 #s(literal 2 binary64) (sqrt.f64 (fma.f64 x z (*.f64 y (+.f64 x z)))))
(*.f64 #s(literal 2 binary64) (*.f64 (sqrt.f64 y) (sqrt.f64 z)))
Calls

1 calls:

17.0ms
y
Results
AccuracySegmentsBranch
80.6%2y
Compiler

Compiled 4 to 3 computations (25% saved)

regimes22.0ms (0.2%)

Counts
34 → 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 x (+.f64 y z))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 z (+.f64 y x))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 x (*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 y x))))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (neg.f64 (*.f64 (*.f64 x z) (+.f64 (/.f64 (neg.f64 y) x) #s(literal -1 binary64))))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 x (+.f64 y (+.f64 z (/.f64 y (/.f64 x z)))))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 x (+.f64 y (+.f64 z (/.f64 (*.f64 y z) x))))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (*.f64 x z) (*.f64 x (*.f64 y (/.f64 z x))))))
(*.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 x (*.f64 y (*.f64 z (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) z)))))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 x (+.f64 y (+.f64 z (/.f64 #s(literal 1 binary64) (/.f64 x (*.f64 z y))))))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 x (+.f64 z (*.f64 z (+.f64 (/.f64 y x) (/.f64 y z)))))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (*.f64 x z) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 z x)))))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (*.f64 x z) (*.f64 x (*.f64 z (+.f64 (/.f64 y x) (/.f64 y z)))))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (*.f64 x z) (*.f64 (*.f64 z x) (+.f64 (/.f64 y x) (/.f64 y z))))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (/.f64 (*.f64 (*.f64 x (+.f64 y z)) (*.f64 x (-.f64 y z))) (*.f64 x (-.f64 y z))) (*.f64 y z))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (/.f64 (*.f64 (*.f64 (*.f64 x (+.f64 z y)) x) (-.f64 y z)) (*.f64 x (-.f64 y z))) (*.f64 y z))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (*.f64 (*.f64 (*.f64 x (+.f64 y z)) (*.f64 x (-.f64 y z))) (/.f64 #s(literal 1 binary64) (*.f64 x (-.f64 y z)))) (*.f64 y z))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (*.f64 (*.f64 (*.f64 x (-.f64 y z)) (*.f64 x (+.f64 z y))) (/.f64 #s(literal 1 binary64) (*.f64 x (-.f64 y z)))) (*.f64 y z))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (*.f64 x z) (*.f64 x (/.f64 (-.f64 (*.f64 y y) (*.f64 (*.f64 y (/.f64 z x)) (*.f64 y (/.f64 z x)))) (-.f64 y (*.f64 y (/.f64 z x))))))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 (-.f64 (*.f64 (*.f64 x z) (*.f64 x z)) (*.f64 y (*.f64 (+.f64 x z) (*.f64 y (+.f64 x z))))) (-.f64 (*.f64 x z) (*.f64 y (+.f64 x z))))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 (-.f64 (*.f64 (*.f64 x (+.f64 y z)) (*.f64 x (+.f64 y z))) (*.f64 (*.f64 y z) (*.f64 y z))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x (+.f64 y z)) (*.f64 y z))))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 (+.f64 (*.f64 (*.f64 x z) (*.f64 (*.f64 x z) (*.f64 x z))) (*.f64 (*.f64 y (+.f64 x z)) (*.f64 y (*.f64 (+.f64 x z) (*.f64 y (+.f64 x z)))))) (+.f64 (*.f64 (*.f64 x z) (*.f64 x z)) (*.f64 (*.f64 y z) (*.f64 y z))))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 (+.f64 (*.f64 (*.f64 x z) (*.f64 (*.f64 x z) (*.f64 x z))) (*.f64 (*.f64 y (+.f64 x z)) (*.f64 y (*.f64 (+.f64 x z) (*.f64 y (+.f64 x z)))))) (+.f64 (*.f64 (*.f64 x z) (*.f64 x z)) (-.f64 (*.f64 y (*.f64 (+.f64 x z) (*.f64 y (+.f64 x z)))) (*.f64 (*.f64 x z) (*.f64 y (+.f64 x z))))))))
(*.f64 #s(literal 2 binary64) (*.f64 (sqrt.f64 y) (sqrt.f64 x)))
(*.f64 #s(literal 2 binary64) (*.f64 (sqrt.f64 y) (sqrt.f64 z)))
(*.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 x) #s(literal 3/2 binary64))))
(*.f64 #s(literal 2 binary64) (exp.f64 (*.f64 (log.f64 (*.f64 y x)) #s(literal 1/2 binary64))))
(*.f64 #s(literal 2 binary64) (exp.f64 (*.f64 (log.f64 (*.f64 z y)) #s(literal 1/2 binary64))))
(*.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)))
Outputs
(*.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 z)))
Calls

1 calls:

17.0ms
y
Results
AccuracySegmentsBranch
80.6%2y
Compiler

Compiled 4 to 3 computations (25% saved)

regimes49.0ms (0.3%)

Counts
27 → 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 x (+.f64 y z))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 z (+.f64 y x))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 x (*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 y x))))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (neg.f64 (*.f64 (*.f64 x z) (+.f64 (/.f64 (neg.f64 y) x) #s(literal -1 binary64))))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 x (+.f64 y (+.f64 z (/.f64 y (/.f64 x z)))))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 x (+.f64 y (+.f64 z (/.f64 (*.f64 y z) x))))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (*.f64 x z) (*.f64 x (*.f64 y (/.f64 z x))))))
(*.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 x (*.f64 y (*.f64 z (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) z)))))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 x (+.f64 y (+.f64 z (/.f64 #s(literal 1 binary64) (/.f64 x (*.f64 z y))))))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 x (+.f64 z (*.f64 z (+.f64 (/.f64 y x) (/.f64 y z)))))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (*.f64 x z) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 z x)))))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (*.f64 x z) (*.f64 x (*.f64 z (+.f64 (/.f64 y x) (/.f64 y z)))))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (*.f64 x z) (*.f64 (*.f64 z x) (+.f64 (/.f64 y x) (/.f64 y z))))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (/.f64 (*.f64 (*.f64 x (+.f64 y z)) (*.f64 x (-.f64 y z))) (*.f64 x (-.f64 y z))) (*.f64 y z))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (/.f64 (*.f64 (*.f64 (*.f64 x (+.f64 z y)) x) (-.f64 y z)) (*.f64 x (-.f64 y z))) (*.f64 y z))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (*.f64 (*.f64 (*.f64 x (+.f64 y z)) (*.f64 x (-.f64 y z))) (/.f64 #s(literal 1 binary64) (*.f64 x (-.f64 y z)))) (*.f64 y z))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (*.f64 (*.f64 (*.f64 x (-.f64 y z)) (*.f64 x (+.f64 z y))) (/.f64 #s(literal 1 binary64) (*.f64 x (-.f64 y z)))) (*.f64 y z))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (*.f64 x z) (*.f64 x (/.f64 (-.f64 (*.f64 y y) (*.f64 (*.f64 y (/.f64 z x)) (*.f64 y (/.f64 z x)))) (-.f64 y (*.f64 y (/.f64 z x))))))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 (-.f64 (*.f64 (*.f64 x z) (*.f64 x z)) (*.f64 y (*.f64 (+.f64 x z) (*.f64 y (+.f64 x z))))) (-.f64 (*.f64 x z) (*.f64 y (+.f64 x z))))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 (-.f64 (*.f64 (*.f64 x (+.f64 y z)) (*.f64 x (+.f64 y z))) (*.f64 (*.f64 y z) (*.f64 y z))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x (+.f64 y z)) (*.f64 y z))))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 (+.f64 (*.f64 (*.f64 x z) (*.f64 (*.f64 x z) (*.f64 x z))) (*.f64 (*.f64 y (+.f64 x z)) (*.f64 y (*.f64 (+.f64 x z) (*.f64 y (+.f64 x z)))))) (+.f64 (*.f64 (*.f64 x z) (*.f64 x z)) (*.f64 (*.f64 y z) (*.f64 y z))))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 (+.f64 (*.f64 (*.f64 x z) (*.f64 (*.f64 x z) (*.f64 x z))) (*.f64 (*.f64 y (+.f64 x z)) (*.f64 y (*.f64 (+.f64 x z) (*.f64 y (+.f64 x z)))))) (+.f64 (*.f64 (*.f64 x z) (*.f64 x z)) (-.f64 (*.f64 y (*.f64 (+.f64 x z) (*.f64 y (+.f64 x z)))) (*.f64 (*.f64 x z) (*.f64 y (+.f64 x z))))))))
(*.f64 #s(literal 2 binary64) (*.f64 (sqrt.f64 y) (sqrt.f64 x)))
Outputs
(*.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (+.f64 (*.f64 x y) (*.f64 x z)) (*.f64 y z))))
Calls

6 calls:

9.0ms
z
8.0ms
x
8.0ms
(+.f64 (+.f64 (*.f64 x y) (*.f64 x z)) (*.f64 y z))
8.0ms
(sqrt.f64 (+.f64 (+.f64 (*.f64 x y) (*.f64 x z)) (*.f64 y z)))
7.0ms
y
Results
AccuracySegmentsBranch
68.5%1x
68.5%1(*.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (+.f64 (*.f64 x y) (*.f64 x z)) (*.f64 y z))))
68.5%1(sqrt.f64 (+.f64 (+.f64 (*.f64 x y) (*.f64 x z)) (*.f64 y z)))
68.5%1(+.f64 (+.f64 (*.f64 x y) (*.f64 x z)) (*.f64 y z))
68.5%1z
68.5%1y
Compiler

Compiled 58 to 37 computations (36.2% saved)

regimes27.0ms (0.2%)

Counts
10 → 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 x (+.f64 y z))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 z (+.f64 y x))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 x (*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 y x))))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (neg.f64 (*.f64 (*.f64 x z) (+.f64 (/.f64 (neg.f64 y) x) #s(literal -1 binary64))))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 x (+.f64 y (+.f64 z (/.f64 y (/.f64 x z)))))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 x (+.f64 y (+.f64 z (/.f64 (*.f64 y z) x))))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (*.f64 x z) (*.f64 x (*.f64 y (/.f64 z x))))))
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:

14.0ms
z
7.0ms
x
6.0ms
y
Results
AccuracySegmentsBranch
68.6%2y
68.2%2x
67.7%2z
Compiler

Compiled 12 to 9 computations (25% saved)

regimes11.0ms (0.1%)

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 x (+.f64 y z))))
Outputs
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 x (+.f64 y z))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 y z)))
Calls

3 calls:

4.0ms
y
3.0ms
x
3.0ms
z
Results
AccuracySegmentsBranch
64.1%2z
64.9%2x
67.4%2y
Compiler

Compiled 12 to 9 computations (25% saved)

regimes4.0ms (0%)

Counts
3 → 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)))
Outputs
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 y x)))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 y z)))
Calls

1 calls:

4.0ms
y
Results
AccuracySegmentsBranch
66.7%2y
Compiler

Compiled 4 to 3 computations (25% saved)

regimes2.0ms (0%)

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:

0.0ms
y
0.0ms
z
0.0ms
x
Results
AccuracySegmentsBranch
31.9%1z
31.9%1x
31.9%1y
Compiler

Compiled 12 to 9 computations (25% saved)

bsearch44.0ms (0.3%)

Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
40.0ms
1.6245772887316533e-280
5.508927366640968e-275
Results
13.0ms179×0invalid
16.0ms144×0valid
Compiler

Compiled 257 to 187 computations (27.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 16.0ms
ival-mult: 8.0ms (49.5% of total)
ival-add: 5.0ms (30.9% of total)
ival-sqrt: 2.0ms (12.4% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

bsearch41.0ms (0.3%)

Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
37.0ms
1.6245772887316533e-280
5.508927366640968e-275
Results
12.0ms160×0invalid
17.0ms144×0valid
Compiler

Compiled 257 to 187 computations (27.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 13.0ms
ival-mult: 8.0ms (60% of total)
ival-add: 3.0ms (22.5% of total)
ival-sqrt: 2.0ms (15% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

bsearch40.0ms (0.3%)

Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
37.0ms
1.6245772887316533e-280
5.508927366640968e-275
Results
15.0ms144×0valid
11.0ms143×0invalid
Compiler

Compiled 284 to 205 computations (27.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 14.0ms
ival-mult: 8.0ms (58.3% of total)
ival-add: 3.0ms (21.9% of total)
ival-sqrt: 2.0ms (14.6% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

bsearch40.0ms (0.3%)

Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
37.0ms
-2.437981769827348e-263
-6.6530825978242255e-270
Results
13.0ms155×0invalid
14.0ms144×0valid
Compiler

Compiled 239 to 178 computations (25.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 13.0ms
ival-mult: 8.0ms (60.3% of total)
ival-add: 3.0ms (22.6% of total)
ival-sqrt: 2.0ms (15.1% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

bsearch41.0ms (0.3%)

Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
38.0ms
-2.437981769827348e-263
-6.6530825978242255e-270
Results
15.0ms144×0valid
12.0ms134×0invalid
Compiler

Compiled 221 to 169 computations (23.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 13.0ms
ival-mult: 8.0ms (60.7% of total)
ival-add: 3.0ms (22.7% of total)
ival-sqrt: 2.0ms (15.2% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

bsearch48.0ms (0.3%)

Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
44.0ms
-6.6530825978242255e-270
-2.481678569295662e-305
Results
13.0ms178×0invalid
19.0ms176×0valid
Compiler

Compiled 243 to 192 computations (21% saved)

Precisions
Click to see histograms. Total time spent on operations: 16.0ms
ival-mult: 9.0ms (56.5% of total)
ival-add: 4.0ms (25.1% of total)
ival-sqrt: 3.0ms (18.8% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

simplify11.0ms (0.1%)

Algorithm
egg-herbie
Rules
15×*-commutative
+-commutative
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
059551
179551
Stop Event
saturated
Calls
Call 1
Inputs
(if (<=.f64 y #s(literal 8575876330031999/155925024182399985285654118206003012974019629721520120429886503315407179052262817639449841054112164147604878659702538690935346717843249504745247796741002454712500443199303568477932634487840858373644793495667494061978969566806317999131941817847503449805243820849668440753309257439870625775616 binary64)) (*.f64 #s(literal 2 binary64) (sqrt.f64 (fma.f64 z y (*.f64 x (+.f64 y z))))) (*.f64 #s(literal 2 binary64) (*.f64 (sqrt.f64 y) (sqrt.f64 z))))
(if (<=.f64 y #s(literal 8575876330031999/155925024182399985285654118206003012974019629721520120429886503315407179052262817639449841054112164147604878659702538690935346717843249504745247796741002454712500443199303568477932634487840858373644793495667494061978969566806317999131941817847503449805243820849668440753309257439870625775616 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 y) (sqrt.f64 z))))
(if (<=.f64 y #s(literal 8575876330031999/155925024182399985285654118206003012974019629721520120429886503315407179052262817639449841054112164147604878659702538690935346717843249504745247796741002454712500443199303568477932634487840858373644793495667494061978969566806317999131941817847503449805243820849668440753309257439870625775616 binary64)) (*.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 z))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (+.f64 (*.f64 x y) (*.f64 x z)) (*.f64 y z))))
(if (<=.f64 y #s(literal -2022342995529785/297403381695556612559612499629980112026252040331878891811154371863188131432080874709033662899231270117959744758038594610090917049108981141558166116220478925156594168089491974788537281966859547374047839156470287441213549741375576017631419788069731616602409021090828782564753069762936832 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 -2022342995529785/297403381695556612559612499629980112026252040331878891811154371863188131432080874709033662899231270117959744758038594610090917049108981141558166116220478925156594168089491974788537281966859547374047839156470287441213549741375576017631419788069731616602409021090828782564753069762936832 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 -4941461262385513/197658450495420525734858737030192682665582665785295037457911482448662440984370455949180062208434691889831130726871886632216610095103313942252942773379627451095231859645084337269987214591887906583241960623508540106017585433031926463494241558251132379239072320812850360890950600210186037629088210457662115491511433340911616 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 8575876330031999/155925024182399985285654118206003012974019629721520120429886503315407179052262817639449841054112164147604878659702538690935346717843249504745247796741002454712500443199303568477932634487840858373644793495667494061978969566806317999131941817847503449805243820849668440753309257439870625775616 binary64)) (*.f64 #s(literal 2 binary64) (sqrt.f64 (fma.f64 z y (*.f64 x (+.f64 y z))))) (*.f64 #s(literal 2 binary64) (*.f64 (sqrt.f64 y) (sqrt.f64 z))))
(if (<=.f64 y #s(literal 8575876330031999/155925024182399985285654118206003012974019629721520120429886503315407179052262817639449841054112164147604878659702538690935346717843249504745247796741002454712500443199303568477932634487840858373644793495667494061978969566806317999131941817847503449805243820849668440753309257439870625775616 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 y) (sqrt.f64 z))))
(if (<=.f64 y #s(literal 8575876330031999/155925024182399985285654118206003012974019629721520120429886503315407179052262817639449841054112164147604878659702538690935346717843249504745247796741002454712500443199303568477932634487840858373644793495667494061978969566806317999131941817847503449805243820849668440753309257439870625775616 binary64)) (*.f64 #s(literal 2 binary64) (sqrt.f64 (fma.f64 x z (*.f64 y (+.f64 z x))))) (*.f64 #s(literal 2 binary64) (*.f64 (sqrt.f64 y) (sqrt.f64 z))))
(if (<=.f64 y #s(literal 8575876330031999/155925024182399985285654118206003012974019629721520120429886503315407179052262817639449841054112164147604878659702538690935346717843249504745247796741002454712500443199303568477932634487840858373644793495667494061978969566806317999131941817847503449805243820849668440753309257439870625775616 binary64)) (*.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 z))))
(if (<=.f64 y #s(literal 8575876330031999/155925024182399985285654118206003012974019629721520120429886503315407179052262817639449841054112164147604878659702538690935346717843249504745247796741002454712500443199303568477932634487840858373644793495667494061978969566806317999131941817847503449805243820849668440753309257439870625775616 binary64)) (*.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (+.f64 (*.f64 y x) (*.f64 z x)) (*.f64 y z)))) (*.f64 #s(literal 2 binary64) (*.f64 (sqrt.f64 y) (sqrt.f64 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 y x) (*.f64 z x)) (*.f64 y z))))
(if (<=.f64 y #s(literal -2022342995529785/297403381695556612559612499629980112026252040331878891811154371863188131432080874709033662899231270117959744758038594610090917049108981141558166116220478925156594168089491974788537281966859547374047839156470287441213549741375576017631419788069731616602409021090828782564753069762936832 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 -2022342995529785/297403381695556612559612499629980112026252040331878891811154371863188131432080874709033662899231270117959744758038594610090917049108981141558166116220478925156594168089491974788537281966859547374047839156470287441213549741375576017631419788069731616602409021090828782564753069762936832 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 -4941461262385513/197658450495420525734858737030192682665582665785295037457911482448662440984370455949180062208434691889831130726871886632216610095103313942252942773379627451095231859645084337269987214591887906583241960623508540106017585433031926463494241558251132379239072320812850360890950600210186037629088210457662115491511433340911616 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)))

soundness1.3s (8.9%)

Rules
910×log1p-expm1-u
910×expm1-log1p-u
843×fma-neg
833×associate-*r*
782×*-commutative
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
068227933
1208426396
2733626124
057590
1156534
2328530
3624530
41291530
51969530
62919530
73283530
83342530
93348530
103348530
042914
1807712
021190
1303174
24368174
0215189847
1675787548
Stop Event
fuel
node limit
node limit
node limit
saturated
node limit
Compiler

Compiled 496 to 237 computations (52.2% saved)

preprocess178.0ms (1.3%)

Compiler

Compiled 562 to 328 computations (41.6% saved)

end0.0ms (0%)

Profiling

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