Diagrams.Solve.Polynomial:quadForm from diagrams-solve-0.1, B

Time bar (total: 20.4s)

analyze663.0ms (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
50%49.9%49.9%0.1%0%0%0%4
50%49.9%49.9%0.1%0%0%0%5
50%49.9%49.9%0.1%0%0%0%6
66.7%49.9%25%0.1%0%25%0%7
66.7%49.9%25%0.1%0%25%0%8
66.7%49.9%25%0.1%0%25%0%9
80%49.9%12.5%0.1%0%37.4%0%10
80%49.9%12.5%0.1%0%37.4%0%11
80%49.9%12.5%0.1%0%37.4%0%12
Compiler

Compiled 14 to 11 computations (21.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 577.0ms
ival-mult: 547.0ms (94.7% of total)
ival-div: 11.0ms (1.9% of total)
ival-sqrt: 10.0ms (1.7% of total)
ival-add: 7.0ms (1.2% of total)
const: 2.0ms (0.3% of total)
backward-pass: 0.0ms (0% of total)

sample4.4s (21.3%)

Results
2.4s8256×0valid
516.0ms2114×0invalid
Precisions
Click to see histograms. Total time spent on operations: 1.8s
ival-sqrt: 649.0ms (36.5% of total)
ival-mult: 598.0ms (33.6% of total)
ival-div: 367.0ms (20.6% of total)
ival-add: 124.0ms (7% of total)
const: 35.0ms (2% of total)
backward-pass: 5.0ms (0.3% of total)
Bogosity

preprocess503.0ms (2.5%)

Algorithm
egg-herbie
Rules
969×fma-neg
453×fma-define
244×unsub-neg
182×distribute-lft-neg-in
156×cancel-sign-sub-inv
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
044376
1128332
2369332
3781332
41343332
52233332
62744332
73237332
83551332
93704332
103785332
113835332
123835332
Stop Event
saturated
Calls
Call 1
Inputs
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 x (*.f64 y (sqrt.f64 z))))
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 x (*.f64 y (sqrt.f64 z))))
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 (neg.f64 x) (*.f64 y (sqrt.f64 z))))
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 x (*.f64 (neg.f64 y) (sqrt.f64 z))))
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 x (*.f64 y (sqrt.f64 (neg.f64 z)))))
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 (neg.f64 x) (*.f64 y (sqrt.f64 z)))))
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 x (*.f64 (neg.f64 y) (sqrt.f64 z)))))
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 x (*.f64 y (sqrt.f64 (neg.f64 z))))))
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 y (*.f64 x (sqrt.f64 z))))
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 z (*.f64 y (sqrt.f64 x))))
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 x (*.f64 z (sqrt.f64 y))))
Outputs
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 x (*.f64 y (sqrt.f64 z))))
(*.f64 #s(literal 1/2 binary64) (+.f64 x (*.f64 y (sqrt.f64 z))))
(*.f64 #s(literal 1/2 binary64) (fma.f64 y (sqrt.f64 z) x))
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 x (*.f64 y (sqrt.f64 z))))
(*.f64 #s(literal 1/2 binary64) (+.f64 x (*.f64 y (sqrt.f64 z))))
(*.f64 #s(literal 1/2 binary64) (fma.f64 y (sqrt.f64 z) x))
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 (neg.f64 x) (*.f64 y (sqrt.f64 z))))
(*.f64 #s(literal 1/2 binary64) (+.f64 (*.f64 y (sqrt.f64 z)) (neg.f64 x)))
(*.f64 (fma.f64 (sqrt.f64 z) (neg.f64 y) x) #s(literal -1/2 binary64))
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 x (*.f64 (neg.f64 y) (sqrt.f64 z))))
(*.f64 #s(literal 1/2 binary64) (+.f64 x (*.f64 (sqrt.f64 z) (neg.f64 y))))
(*.f64 #s(literal 1/2 binary64) (fma.f64 (sqrt.f64 z) (neg.f64 y) x))
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 x (*.f64 y (sqrt.f64 (neg.f64 z)))))
(*.f64 #s(literal 1/2 binary64) (+.f64 x (*.f64 y (sqrt.f64 (neg.f64 z)))))
(*.f64 #s(literal 1/2 binary64) (fma.f64 y (sqrt.f64 (neg.f64 z)) x))
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 (neg.f64 x) (*.f64 y (sqrt.f64 z)))))
(*.f64 #s(literal 1/2 binary64) (+.f64 x (*.f64 (sqrt.f64 z) (neg.f64 y))))
(*.f64 #s(literal 1/2 binary64) (fma.f64 (sqrt.f64 z) (neg.f64 y) x))
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 x (*.f64 (neg.f64 y) (sqrt.f64 z)))))
(*.f64 #s(literal 1/2 binary64) (+.f64 (*.f64 y (sqrt.f64 z)) (neg.f64 x)))
(*.f64 (fma.f64 (sqrt.f64 z) (neg.f64 y) x) #s(literal -1/2 binary64))
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 x (*.f64 y (sqrt.f64 (neg.f64 z))))))
(*.f64 #s(literal -1/2 binary64) (+.f64 x (*.f64 y (sqrt.f64 (neg.f64 z)))))
(*.f64 (fma.f64 y (sqrt.f64 (neg.f64 z)) x) #s(literal -1/2 binary64))
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 y (*.f64 x (sqrt.f64 z))))
(*.f64 #s(literal 1/2 binary64) (+.f64 y (*.f64 x (sqrt.f64 z))))
(*.f64 #s(literal 1/2 binary64) (fma.f64 x (sqrt.f64 z) y))
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 z (*.f64 y (sqrt.f64 x))))
(*.f64 #s(literal 1/2 binary64) (+.f64 z (*.f64 y (sqrt.f64 x))))
(*.f64 #s(literal 1/2 binary64) (fma.f64 y (sqrt.f64 x) z))
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 x (*.f64 z (sqrt.f64 y))))
(*.f64 #s(literal 1/2 binary64) (+.f64 x (*.f64 z (sqrt.f64 y))))
(*.f64 #s(literal 1/2 binary64) (fma.f64 z (sqrt.f64 y) x))

explain203.0ms (1%)

FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
00-0-x
00-0-(*.f64 y (sqrt.f64 z))
00-0-y
00-0-#s(literal 2 binary64)
00-0-(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 x (*.f64 y (sqrt.f64 z))))
00-0-(+.f64 x (*.f64 y (sqrt.f64 z)))
00-0-(sqrt.f64 z)
00-0-z
00-0-#s(literal 1 binary64)
00-0-(/.f64 #s(literal 1 binary64) #s(literal 2 binary64))
Results
129.0ms512×0valid
Compiler

Compiled 81 to 32 computations (60.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 52.0ms
ival-mult: 26.0ms (49.8% of total)
ival-div: 9.0ms (17.2% of total)
ival-sqrt: 9.0ms (17.2% of total)
ival-add: 6.0ms (11.5% of total)
const: 2.0ms (3.8% of total)
backward-pass: 0.0ms (0% of total)

eval1.0ms (0%)

Compiler

Compiled 18 to 10 computations (44.4% saved)

prune3.0ms (0%)

Alt Table
Click to see full alt table
StatusAccuracyProgram
99.8%
(*.f64 #s(literal 1/2 binary64) (fma.f64 y (sqrt.f64 z) x))
99.8%
(*.f64 #s(literal 1/2 binary64) (+.f64 x (*.f64 y (sqrt.f64 z))))
Compiler

Compiled 21 to 15 computations (28.6% saved)

simplify16.0ms (0.1%)

Algorithm
egg-herbie
Localize:

Found 7 expressions of interest:

NewMetricScoreProgram
cost-diff0
(sqrt.f64 z)
cost-diff0
(fma.f64 y (sqrt.f64 z) x)
cost-diff0
(*.f64 #s(literal 1/2 binary64) (fma.f64 y (sqrt.f64 z) x))
cost-diff-6272
(+.f64 x (*.f64 y (sqrt.f64 z)))
cost-diff-6272
(*.f64 #s(literal 1/2 binary64) (+.f64 x (*.f64 y (sqrt.f64 z))))
cost-diff0
(sqrt.f64 z)
cost-diff0
(*.f64 y (sqrt.f64 z))
Rules
*-commutative
fma-define
distribute-rgt-in
associate-*r*
distribute-lft-in
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
018159
127159
243159
354159
Stop Event
saturated
Calls
Call 1
Inputs
(*.f64 #s(literal 1/2 binary64) (+.f64 x (*.f64 y (sqrt.f64 z))))
#s(literal 1/2 binary64)
(+.f64 x (*.f64 y (sqrt.f64 z)))
x
(*.f64 y (sqrt.f64 z))
y
(sqrt.f64 z)
z
(*.f64 #s(literal 1/2 binary64) (fma.f64 y (sqrt.f64 z) x))
#s(literal 1/2 binary64)
(fma.f64 y (sqrt.f64 z) x)
y
(sqrt.f64 z)
z
x
Outputs
(*.f64 #s(literal 1/2 binary64) (+.f64 x (*.f64 y (sqrt.f64 z))))
(*.f64 #s(literal 1/2 binary64) (fma.f64 y (sqrt.f64 z) x))
#s(literal 1/2 binary64)
(+.f64 x (*.f64 y (sqrt.f64 z)))
(fma.f64 y (sqrt.f64 z) x)
x
(*.f64 y (sqrt.f64 z))
y
(sqrt.f64 z)
z
(*.f64 #s(literal 1/2 binary64) (fma.f64 y (sqrt.f64 z) x))
#s(literal 1/2 binary64)
(fma.f64 y (sqrt.f64 z) x)
y
(sqrt.f64 z)
z
x

localize359.0ms (1.8%)

Localize:

Found 7 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(*.f64 #s(literal 1/2 binary64) (fma.f64 y (sqrt.f64 z) x))
accuracy100.0%
(sqrt.f64 z)
accuracy99.8%
(fma.f64 y (sqrt.f64 z) x)
accuracy100.0%
(*.f64 #s(literal 1/2 binary64) (+.f64 x (*.f64 y (sqrt.f64 z))))
accuracy100.0%
(sqrt.f64 z)
accuracy100.0%
(+.f64 x (*.f64 y (sqrt.f64 z)))
accuracy99.6%
(*.f64 y (sqrt.f64 z))
Results
213.0ms256×0valid
Compiler

Compiled 46 to 11 computations (76.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 29.0ms
ival-mult: 13.0ms (44.9% of total)
ival-fma: 7.0ms (24.2% of total)
ival-sqrt: 5.0ms (17.3% of total)
ival-add: 3.0ms (10.4% of total)
const: 1.0ms (3.5% of total)
backward-pass: 0.0ms (0% of total)

series46.0ms (0.2%)

Counts
6 → 138
Calls
Call 1
Inputs
#<alt (*.f64 y (sqrt.f64 z))>
#<alt (sqrt.f64 z)>
#<alt (*.f64 #s(literal 1/2 binary64) (+.f64 x (*.f64 y (sqrt.f64 z))))>
#<alt (+.f64 x (*.f64 y (sqrt.f64 z)))>
#<alt (*.f64 #s(literal 1/2 binary64) (fma.f64 y (sqrt.f64 z) x))>
#<alt (fma.f64 y (sqrt.f64 z) x)>
Outputs
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (sqrt.f64 z)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (sqrt.f64 z)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (sqrt.f64 z)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (sqrt.f64 z)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 z) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 z) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 z) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 z) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 y (sqrt.f64 z)))>
#<alt (+.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 #s(literal 1/2 binary64) (*.f64 y (sqrt.f64 z))))>
#<alt (+.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 #s(literal 1/2 binary64) (*.f64 y (sqrt.f64 z))))>
#<alt (+.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 #s(literal 1/2 binary64) (*.f64 y (sqrt.f64 z))))>
#<alt (*.f64 #s(literal 1/2 binary64) x)>
#<alt (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 y x) (sqrt.f64 z)))))>
#<alt (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 y x) (sqrt.f64 z)))))>
#<alt (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 y x) (sqrt.f64 z)))))>
#<alt (*.f64 #s(literal 1/2 binary64) x)>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 y x) (sqrt.f64 z))) #s(literal 1/2 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 y x) (sqrt.f64 z))) #s(literal 1/2 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 y x) (sqrt.f64 z))) #s(literal 1/2 binary64))))>
#<alt (*.f64 #s(literal 1/2 binary64) x)>
#<alt (+.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 #s(literal 1/2 binary64) (*.f64 y (sqrt.f64 z))))>
#<alt (+.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 #s(literal 1/2 binary64) (*.f64 y (sqrt.f64 z))))>
#<alt (+.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 #s(literal 1/2 binary64) (*.f64 y (sqrt.f64 z))))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 y (sqrt.f64 z)))>
#<alt (*.f64 y (+.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 z)) (*.f64 #s(literal 1/2 binary64) (/.f64 x y))))>
#<alt (*.f64 y (+.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 z)) (*.f64 #s(literal 1/2 binary64) (/.f64 x y))))>
#<alt (*.f64 y (+.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 z)) (*.f64 #s(literal 1/2 binary64) (/.f64 x y))))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 y (sqrt.f64 z)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 z)) (*.f64 #s(literal -1/2 binary64) (/.f64 x y)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 z)) (*.f64 #s(literal -1/2 binary64) (/.f64 x y)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 z)) (*.f64 #s(literal -1/2 binary64) (/.f64 x y)))))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 y (sqrt.f64 z)))>
#<alt (*.f64 z (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))) (*.f64 #s(literal 1/2 binary64) (/.f64 x z))))>
#<alt (*.f64 z (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))) (*.f64 #s(literal 1/2 binary64) (/.f64 x z))))>
#<alt (*.f64 z (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))) (*.f64 #s(literal 1/2 binary64) (/.f64 x z))))>
#<alt (*.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (sqrt.f64 z)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x z)) (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x z)) (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x z)) (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))))))>
#<alt (*.f64 y (sqrt.f64 z))>
#<alt x>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 y x) (sqrt.f64 z))))>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 y x) (sqrt.f64 z))))>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 y x) (sqrt.f64 z))))>
#<alt x>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (*.f64 (/.f64 y x) (sqrt.f64 z))) #s(literal 1 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (*.f64 (/.f64 y x) (sqrt.f64 z))) #s(literal 1 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (*.f64 (/.f64 y x) (sqrt.f64 z))) #s(literal 1 binary64))))>
#<alt x>
#<alt (*.f64 y (sqrt.f64 z))>
#<alt (*.f64 y (+.f64 (sqrt.f64 z) (/.f64 x y)))>
#<alt (*.f64 y (+.f64 (sqrt.f64 z) (/.f64 x y)))>
#<alt (*.f64 y (+.f64 (sqrt.f64 z) (/.f64 x y)))>
#<alt (*.f64 y (sqrt.f64 z))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 z)) (*.f64 #s(literal -1 binary64) (/.f64 x y)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 z)) (*.f64 #s(literal -1 binary64) (/.f64 x y)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 z)) (*.f64 #s(literal -1 binary64) (/.f64 x y)))))>
#<alt (*.f64 y (sqrt.f64 z))>
#<alt (*.f64 z (+.f64 (*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) (/.f64 x z)))>
#<alt (*.f64 z (+.f64 (*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) (/.f64 x z)))>
#<alt (*.f64 z (+.f64 (*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) (/.f64 x z)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (sqrt.f64 z)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x z)) (*.f64 (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) z))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x z)) (*.f64 (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) z))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x z)) (*.f64 (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) z))))))>
#<alt (*.f64 #s(literal 1/2 binary64) x)>
#<alt (+.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 #s(literal 1/2 binary64) (*.f64 y (sqrt.f64 z))))>
#<alt (+.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 #s(literal 1/2 binary64) (*.f64 y (sqrt.f64 z))))>
#<alt (+.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 #s(literal 1/2 binary64) (*.f64 y (sqrt.f64 z))))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 y (sqrt.f64 z)))>
#<alt (*.f64 y (+.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 z)) (*.f64 #s(literal 1/2 binary64) (/.f64 x y))))>
#<alt (*.f64 y (+.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 z)) (*.f64 #s(literal 1/2 binary64) (/.f64 x y))))>
#<alt (*.f64 y (+.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 z)) (*.f64 #s(literal 1/2 binary64) (/.f64 x y))))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 y (sqrt.f64 z)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 z)) (*.f64 #s(literal -1/2 binary64) (/.f64 x y)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 z)) (*.f64 #s(literal -1/2 binary64) (/.f64 x y)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 z)) (*.f64 #s(literal -1/2 binary64) (/.f64 x y)))))>
#<alt (*.f64 #s(literal 1/2 binary64) (+.f64 x (*.f64 y (sqrt.f64 z))))>
#<alt (*.f64 #s(literal 1/2 binary64) (+.f64 x (*.f64 y (sqrt.f64 z))))>
#<alt (*.f64 #s(literal 1/2 binary64) (+.f64 x (*.f64 y (sqrt.f64 z))))>
#<alt (*.f64 #s(literal 1/2 binary64) (+.f64 x (*.f64 y (sqrt.f64 z))))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 y (sqrt.f64 z)))>
#<alt (*.f64 z (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))) (*.f64 #s(literal 1/2 binary64) (/.f64 x z))))>
#<alt (*.f64 z (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))) (*.f64 #s(literal 1/2 binary64) (/.f64 x z))))>
#<alt (*.f64 z (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))) (*.f64 #s(literal 1/2 binary64) (/.f64 x z))))>
#<alt (*.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (sqrt.f64 z)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x z)) (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x z)) (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x z)) (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))))))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 y (sqrt.f64 z)))>
#<alt (+.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 #s(literal 1/2 binary64) (*.f64 y (sqrt.f64 z))))>
#<alt (+.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 #s(literal 1/2 binary64) (*.f64 y (sqrt.f64 z))))>
#<alt (+.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 #s(literal 1/2 binary64) (*.f64 y (sqrt.f64 z))))>
#<alt (*.f64 #s(literal 1/2 binary64) x)>
#<alt (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 y x) (sqrt.f64 z)))))>
#<alt (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 y x) (sqrt.f64 z)))))>
#<alt (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 y x) (sqrt.f64 z)))))>
#<alt (*.f64 #s(literal 1/2 binary64) x)>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 y x) (sqrt.f64 z))) #s(literal 1/2 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 y x) (sqrt.f64 z))) #s(literal 1/2 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 y x) (sqrt.f64 z))) #s(literal 1/2 binary64))))>
#<alt x>
#<alt (+.f64 x (*.f64 y (sqrt.f64 z)))>
#<alt (+.f64 x (*.f64 y (sqrt.f64 z)))>
#<alt (+.f64 x (*.f64 y (sqrt.f64 z)))>
#<alt (*.f64 y (sqrt.f64 z))>
#<alt (*.f64 y (+.f64 (sqrt.f64 z) (/.f64 x y)))>
#<alt (*.f64 y (+.f64 (sqrt.f64 z) (/.f64 x y)))>
#<alt (*.f64 y (+.f64 (sqrt.f64 z) (/.f64 x y)))>
#<alt (*.f64 y (sqrt.f64 z))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 z)) (*.f64 #s(literal -1 binary64) (/.f64 x y)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 z)) (*.f64 #s(literal -1 binary64) (/.f64 x y)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 z)) (*.f64 #s(literal -1 binary64) (/.f64 x y)))))>
#<alt (+.f64 x (*.f64 y (sqrt.f64 z)))>
#<alt (+.f64 x (*.f64 y (sqrt.f64 z)))>
#<alt (+.f64 x (*.f64 y (sqrt.f64 z)))>
#<alt (+.f64 x (*.f64 y (sqrt.f64 z)))>
#<alt (*.f64 y (sqrt.f64 z))>
#<alt (*.f64 z (+.f64 (*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) (/.f64 x z)))>
#<alt (*.f64 z (+.f64 (*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) (/.f64 x z)))>
#<alt (*.f64 z (+.f64 (*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) (/.f64 x z)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (sqrt.f64 z)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x z)) (*.f64 (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) z))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x z)) (*.f64 (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) z))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x z)) (*.f64 (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) z))))))>
#<alt (*.f64 y (sqrt.f64 z))>
#<alt (+.f64 x (*.f64 y (sqrt.f64 z)))>
#<alt (+.f64 x (*.f64 y (sqrt.f64 z)))>
#<alt (+.f64 x (*.f64 y (sqrt.f64 z)))>
#<alt x>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 y x) (sqrt.f64 z))))>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 y x) (sqrt.f64 z))))>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 y x) (sqrt.f64 z))))>
#<alt x>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (*.f64 (/.f64 y x) (sqrt.f64 z))) #s(literal 1 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (*.f64 (/.f64 y x) (sqrt.f64 z))) #s(literal 1 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (*.f64 (/.f64 y x) (sqrt.f64 z))) #s(literal 1 binary64))))>
Calls

45 calls:

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

rewrite515.0ms (2.5%)

Algorithm
batch-egg-rewrite
Rules
910×prod-diff
774×log1p-expm1-u
774×expm1-log1p-u
403×log-prod
253×fma-define
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
018125
1205125
22197125
Stop Event
node limit
Counts
6 → 235
Calls
Call 1
Inputs
(*.f64 y (sqrt.f64 z))
(sqrt.f64 z)
(*.f64 #s(literal 1/2 binary64) (+.f64 x (*.f64 y (sqrt.f64 z))))
(+.f64 x (*.f64 y (sqrt.f64 z)))
(*.f64 #s(literal 1/2 binary64) (fma.f64 y (sqrt.f64 z) x))
(fma.f64 y (sqrt.f64 z) x)
Outputs
(+.f64 #s(literal 0 binary64) (*.f64 y (sqrt.f64 z)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 (sqrt.f64 z)) y)) (cbrt.f64 (pow.f64 (exp.f64 (sqrt.f64 z)) y)))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (sqrt.f64 z)) y))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (sqrt.f64 z)) y))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (sqrt.f64 z)) y))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 y (sqrt.f64 z)))) #s(literal 1 binary64))
(pow.f64 (*.f64 y (sqrt.f64 z)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 y (sqrt.f64 z))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 y (sqrt.f64 z)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 y (sqrt.f64 z))) #s(literal 2 binary64))
(sqrt.f64 (*.f64 z (pow.f64 y #s(literal 2 binary64))))
(log.f64 (pow.f64 (exp.f64 (sqrt.f64 z)) y))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 y (sqrt.f64 z)))))
(cbrt.f64 (pow.f64 (*.f64 y (sqrt.f64 z)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 y (sqrt.f64 z))))
(log1p.f64 (expm1.f64 (*.f64 y (sqrt.f64 z))))
(exp.f64 (log.f64 (*.f64 y (sqrt.f64 z))))
(exp.f64 (*.f64 (log.f64 (*.f64 y (sqrt.f64 z))) #s(literal 1 binary64)))
(+.f64 #s(literal 0 binary64) (sqrt.f64 z))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (sqrt.f64 z))) (cbrt.f64 (exp.f64 (sqrt.f64 z))))) (log.f64 (cbrt.f64 (exp.f64 (sqrt.f64 z)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 z)))) (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 z)))))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 z))) #s(literal 1 binary64))
(*.f64 (sqrt.f64 z) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (sqrt.f64 z))
(*.f64 (cbrt.f64 (sqrt.f64 z)) (cbrt.f64 z))
(*.f64 (cbrt.f64 z) (cbrt.f64 (sqrt.f64 z)))
(*.f64 (pow.f64 z #s(literal 1/4 binary64)) (pow.f64 z #s(literal 1/4 binary64)))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/2 binary64)) (sqrt.f64 z))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) #s(literal 1/2 binary64)) (pow.f64 (cbrt.f64 z) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))) (sqrt.f64 (cbrt.f64 z)))
(pow.f64 z #s(literal 1/2 binary64))
(pow.f64 (sqrt.f64 z) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (sqrt.f64 z)) #s(literal 3 binary64))
(pow.f64 (pow.f64 z #s(literal 3/2 binary64)) #s(literal 1/3 binary64))
(pow.f64 (pow.f64 z #s(literal 1/4 binary64)) #s(literal 2 binary64))
(fabs.f64 (sqrt.f64 z))
(log.f64 (exp.f64 (sqrt.f64 z)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (sqrt.f64 z))))
(cbrt.f64 (pow.f64 z #s(literal 3/2 binary64)))
(expm1.f64 (log1p.f64 (sqrt.f64 z)))
(log1p.f64 (expm1.f64 (sqrt.f64 z)))
(exp.f64 (log.f64 (sqrt.f64 z)))
(exp.f64 (*.f64 (log.f64 z) #s(literal 1/2 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 z)) #s(literal 1 binary64)))
(+.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 (sqrt.f64 z) (*.f64 y #s(literal 1/2 binary64))))
(+.f64 (*.f64 (sqrt.f64 z) (*.f64 y #s(literal 1/2 binary64))) (*.f64 #s(literal 1/2 binary64) x))
(+.f64 #s(literal 0 binary64) (*.f64 #s(literal 1/2 binary64) (fma.f64 y (sqrt.f64 z) x)))
(+.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64)) (*.f64 (*.f64 (sqrt.f64 z) (*.f64 y #s(literal 1/2 binary64))) #s(literal 1 binary64)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (fma.f64 y (sqrt.f64 z) x))) (cbrt.f64 (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (fma.f64 y (sqrt.f64 z) x))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (fma.f64 y (sqrt.f64 z) x)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (fma.f64 y (sqrt.f64 z) x)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (fma.f64 y (sqrt.f64 z) x)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 y (sqrt.f64 z) x)))) #s(literal 1 binary64))
(/.f64 (+.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 3 binary64)) (pow.f64 (*.f64 (sqrt.f64 z) (*.f64 y #s(literal 1/2 binary64))) #s(literal 3 binary64))) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 #s(literal 1/2 binary64) x) (-.f64 (*.f64 (*.f64 (sqrt.f64 z) (*.f64 y #s(literal 1/2 binary64))) (*.f64 (sqrt.f64 z) (*.f64 y #s(literal 1/2 binary64)))) (*.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 (sqrt.f64 z) (*.f64 y #s(literal 1/2 binary64)))))))
(/.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 #s(literal 1/2 binary64) x)) (*.f64 (*.f64 (sqrt.f64 z) (*.f64 y #s(literal 1/2 binary64))) (*.f64 (sqrt.f64 z) (*.f64 y #s(literal 1/2 binary64))))) (-.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 (sqrt.f64 z) (*.f64 y #s(literal 1/2 binary64)))))
(/.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 (pow.f64 z #s(literal 3/2 binary64)) (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 (*.f64 y (sqrt.f64 z)) (-.f64 (*.f64 y (sqrt.f64 z)) x) (pow.f64 x #s(literal 2 binary64))))
(/.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 z (pow.f64 y #s(literal 2 binary64))))) (-.f64 x (*.f64 y (sqrt.f64 z))))
(/.f64 (*.f64 (fma.f64 (pow.f64 z #s(literal 3/2 binary64)) (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) #s(literal 1/2 binary64)) (fma.f64 (*.f64 y (sqrt.f64 z)) (-.f64 (*.f64 y (sqrt.f64 z)) x) (pow.f64 x #s(literal 2 binary64))))
(/.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 z (pow.f64 y #s(literal 2 binary64)))) #s(literal 1/2 binary64)) (-.f64 x (*.f64 y (sqrt.f64 z))))
(pow.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 y (sqrt.f64 z) x)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 y (sqrt.f64 z) x))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 y (sqrt.f64 z) x)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 y (sqrt.f64 z) x))) #s(literal 2 binary64))
(sqrt.f64 (*.f64 (pow.f64 (fma.f64 y (sqrt.f64 z) x) #s(literal 2 binary64)) #s(literal 1/4 binary64)))
(log.f64 (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (fma.f64 y (sqrt.f64 z) x)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 y (sqrt.f64 z) x)))))
(log.f64 (*.f64 (exp.f64 (*.f64 (sqrt.f64 z) (*.f64 y #s(literal 1/2 binary64)))) (exp.f64 (*.f64 #s(literal 1/2 binary64) x))))
(cbrt.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 y (sqrt.f64 z) x)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 y (sqrt.f64 z) x))))
(log1p.f64 (expm1.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 y (sqrt.f64 z) x))))
(exp.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 y (sqrt.f64 z) x))))
(exp.f64 (*.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 y (sqrt.f64 z) x))) #s(literal 1 binary64)))
(fma.f64 y (*.f64 (sqrt.f64 z) #s(literal 1/2 binary64)) (*.f64 #s(literal 1/2 binary64) x))
(fma.f64 (sqrt.f64 z) (*.f64 y #s(literal 1/2 binary64)) (*.f64 #s(literal 1/2 binary64) x))
(fma.f64 (*.f64 y (sqrt.f64 z)) #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) x))
(fma.f64 #s(literal 1/2 binary64) (*.f64 y (sqrt.f64 z)) (*.f64 #s(literal 1/2 binary64) x))
(fma.f64 #s(literal 1/2 binary64) x (*.f64 (sqrt.f64 z) (*.f64 y #s(literal 1/2 binary64))))
(fma.f64 x #s(literal 1/2 binary64) (*.f64 (sqrt.f64 z) (*.f64 y #s(literal 1/2 binary64))))
(fma.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x) (*.f64 (sqrt.f64 z) (*.f64 y #s(literal 1/2 binary64))))
(fma.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 z) (*.f64 y #s(literal 1/2 binary64))) (*.f64 #s(literal 1/2 binary64) x))
(fma.f64 (cbrt.f64 (*.f64 z (pow.f64 y #s(literal 2 binary64)))) (*.f64 (cbrt.f64 (*.f64 y (sqrt.f64 z))) #s(literal 1/2 binary64)) (*.f64 #s(literal 1/2 binary64) x))
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (*.f64 (cbrt.f64 x) #s(literal 1/2 binary64)) (*.f64 (sqrt.f64 z) (*.f64 y #s(literal 1/2 binary64))))
(fma.f64 (sqrt.f64 (*.f64 y (sqrt.f64 z))) (*.f64 (sqrt.f64 (*.f64 y (sqrt.f64 z))) #s(literal 1/2 binary64)) (*.f64 #s(literal 1/2 binary64) x))
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(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x (*.f64 y (sqrt.f64 z))) (-.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 z (pow.f64 y #s(literal 2 binary64))))))
(/.f64 (fma.f64 (pow.f64 z #s(literal 3/2 binary64)) (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (*.f64 y (sqrt.f64 z)) (-.f64 (*.f64 y (sqrt.f64 z)) x) (pow.f64 x #s(literal 2 binary64))))
(/.f64 (fma.f64 (pow.f64 z #s(literal 3/2 binary64)) (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 z (pow.f64 y #s(literal 2 binary64)) (-.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 (*.f64 y (sqrt.f64 z)) x))))
(/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 z (pow.f64 y #s(literal 2 binary64)))) (-.f64 x (*.f64 y (sqrt.f64 z))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 z #s(literal 3/2 binary64)) (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (fma.f64 (*.f64 y (sqrt.f64 z)) (-.f64 (*.f64 y (sqrt.f64 z)) x) (pow.f64 x #s(literal 2 binary64)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 z (pow.f64 y #s(literal 2 binary64))))) (neg.f64 (-.f64 x (*.f64 y (sqrt.f64 z)))))
(/.f64 (-.f64 (*.f64 z (pow.f64 y #s(literal 2 binary64))) (pow.f64 x #s(literal 2 binary64))) (-.f64 (*.f64 y (sqrt.f64 z)) x))
(pow.f64 (fma.f64 y (sqrt.f64 z) x) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (fma.f64 y (sqrt.f64 z) x)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (fma.f64 y (sqrt.f64 z) x) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (fma.f64 y (sqrt.f64 z) x)) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (fma.f64 y (sqrt.f64 z) x) #s(literal 2 binary64)))
(log.f64 (exp.f64 (fma.f64 y (sqrt.f64 z) x)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 y (sqrt.f64 z) x))))
(log.f64 (*.f64 (pow.f64 (exp.f64 (sqrt.f64 z)) y) (+.f64 #s(literal 1 binary64) (expm1.f64 x))))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 y (sqrt.f64 z)))) (exp.f64 x)))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 y (sqrt.f64 z)))) (+.f64 #s(literal 1 binary64) (expm1.f64 x))))
(log.f64 (*.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 y (sqrt.f64 z))))))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 x)) (pow.f64 (exp.f64 (sqrt.f64 z)) y)))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 x)) (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 y (sqrt.f64 z))))))
(cbrt.f64 (pow.f64 (fma.f64 y (sqrt.f64 z) x) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (fma.f64 y (sqrt.f64 z) x)))
(log1p.f64 (expm1.f64 (fma.f64 y (sqrt.f64 z) x)))
(exp.f64 (log.f64 (fma.f64 y (sqrt.f64 z) x)))
(exp.f64 (*.f64 (log.f64 (fma.f64 y (sqrt.f64 z) x)) #s(literal 1 binary64)))

simplify610.0ms (3%)

Algorithm
egg-herbie
Rules
427×associate-/l*
331×distribute-lft-neg-in
318×cancel-sign-sub-inv
316×distribute-rgt-neg-in
295×associate-*r*
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
040113640
191512464
2318212336
Stop Event
node limit
Counts
373 → 216
Calls
Call 1
Inputs
(*.f64 #s(literal -1 binary64) (*.f64 (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (sqrt.f64 z)))
(*.f64 #s(literal -1 binary64) (*.f64 (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (sqrt.f64 z)))
(*.f64 #s(literal -1 binary64) (*.f64 (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (sqrt.f64 z)))
(*.f64 #s(literal -1 binary64) (*.f64 (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (sqrt.f64 z)))
(*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 z) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 z) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 z) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 z) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))
(*.f64 #s(literal 1/2 binary64) (*.f64 y (sqrt.f64 z)))
(+.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 #s(literal 1/2 binary64) (*.f64 y (sqrt.f64 z))))
(+.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 #s(literal 1/2 binary64) (*.f64 y (sqrt.f64 z))))
(+.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 #s(literal 1/2 binary64) (*.f64 y (sqrt.f64 z))))
(*.f64 #s(literal 1/2 binary64) x)
(*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 y x) (sqrt.f64 z)))))
(*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 y x) (sqrt.f64 z)))))
(*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 y x) (sqrt.f64 z)))))
(*.f64 #s(literal 1/2 binary64) x)
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(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 y x) (sqrt.f64 z))) #s(literal 1/2 binary64))))
(*.f64 #s(literal 1/2 binary64) x)
(+.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 #s(literal 1/2 binary64) (*.f64 y (sqrt.f64 z))))
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(+.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 #s(literal 1/2 binary64) (*.f64 y (sqrt.f64 z))))
(*.f64 #s(literal 1/2 binary64) (*.f64 y (sqrt.f64 z)))
(*.f64 y (+.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 z)) (*.f64 #s(literal 1/2 binary64) (/.f64 x y))))
(*.f64 y (+.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 z)) (*.f64 #s(literal 1/2 binary64) (/.f64 x y))))
(*.f64 y (+.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 z)) (*.f64 #s(literal 1/2 binary64) (/.f64 x y))))
(*.f64 #s(literal 1/2 binary64) (*.f64 y (sqrt.f64 z)))
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 z)) (*.f64 #s(literal -1/2 binary64) (/.f64 x y)))))
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(*.f64 #s(literal 1/2 binary64) (*.f64 y (sqrt.f64 z)))
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(*.f64 z (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))) (*.f64 #s(literal 1/2 binary64) (/.f64 x z))))
(*.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (sqrt.f64 z)))
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(*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x z)) (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))))))
(*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x z)) (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))))))
(*.f64 y (sqrt.f64 z))
x
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 y x) (sqrt.f64 z))))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 y x) (sqrt.f64 z))))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 y x) (sqrt.f64 z))))
x
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (*.f64 (/.f64 y x) (sqrt.f64 z))) #s(literal 1 binary64))))
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(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (*.f64 (/.f64 y x) (sqrt.f64 z))) #s(literal 1 binary64))))
x
(*.f64 y (sqrt.f64 z))
(*.f64 y (+.f64 (sqrt.f64 z) (/.f64 x y)))
(*.f64 y (+.f64 (sqrt.f64 z) (/.f64 x y)))
(*.f64 y (+.f64 (sqrt.f64 z) (/.f64 x y)))
(*.f64 y (sqrt.f64 z))
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 z)) (*.f64 #s(literal -1 binary64) (/.f64 x y)))))
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 z)) (*.f64 #s(literal -1 binary64) (/.f64 x y)))))
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 z)) (*.f64 #s(literal -1 binary64) (/.f64 x y)))))
(*.f64 y (sqrt.f64 z))
(*.f64 z (+.f64 (*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) (/.f64 x z)))
(*.f64 z (+.f64 (*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) (/.f64 x z)))
(*.f64 z (+.f64 (*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) (/.f64 x z)))
(*.f64 #s(literal -1 binary64) (*.f64 (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (sqrt.f64 z)))
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(*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x z)) (*.f64 (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) z))))))
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(*.f64 #s(literal 1/2 binary64) x)
(+.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 #s(literal 1/2 binary64) (*.f64 y (sqrt.f64 z))))
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(*.f64 #s(literal 1/2 binary64) (*.f64 y (sqrt.f64 z)))
(*.f64 y (+.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 z)) (*.f64 #s(literal 1/2 binary64) (/.f64 x y))))
(*.f64 y (+.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 z)) (*.f64 #s(literal 1/2 binary64) (/.f64 x y))))
(*.f64 y (+.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 z)) (*.f64 #s(literal 1/2 binary64) (/.f64 x y))))
(*.f64 #s(literal 1/2 binary64) (*.f64 y (sqrt.f64 z)))
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 z)) (*.f64 #s(literal -1/2 binary64) (/.f64 x y)))))
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 z)) (*.f64 #s(literal -1/2 binary64) (/.f64 x y)))))
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 z)) (*.f64 #s(literal -1/2 binary64) (/.f64 x y)))))
(*.f64 #s(literal 1/2 binary64) (+.f64 x (*.f64 y (sqrt.f64 z))))
(*.f64 #s(literal 1/2 binary64) (+.f64 x (*.f64 y (sqrt.f64 z))))
(*.f64 #s(literal 1/2 binary64) (+.f64 x (*.f64 y (sqrt.f64 z))))
(*.f64 #s(literal 1/2 binary64) (+.f64 x (*.f64 y (sqrt.f64 z))))
(*.f64 #s(literal 1/2 binary64) (*.f64 y (sqrt.f64 z)))
(*.f64 z (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))) (*.f64 #s(literal 1/2 binary64) (/.f64 x z))))
(*.f64 z (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))) (*.f64 #s(literal 1/2 binary64) (/.f64 x z))))
(*.f64 z (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))) (*.f64 #s(literal 1/2 binary64) (/.f64 x z))))
(*.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (sqrt.f64 z)))
(*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x z)) (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))))))
(*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x z)) (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))))))
(*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x z)) (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))))))
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(*.f64 #s(literal 1/2 binary64) x)
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(*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 y x) (sqrt.f64 z)))))
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(*.f64 #s(literal 1/2 binary64) x)
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x
(+.f64 x (*.f64 y (sqrt.f64 z)))
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(+.f64 x (*.f64 y (sqrt.f64 z)))
(*.f64 y (sqrt.f64 z))
(*.f64 y (+.f64 (sqrt.f64 z) (/.f64 x y)))
(*.f64 y (+.f64 (sqrt.f64 z) (/.f64 x y)))
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(*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x z)) (*.f64 (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) z))))))
(*.f64 y (sqrt.f64 z))
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x
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 y x) (sqrt.f64 z))))
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(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (fma.f64 y (sqrt.f64 z) x))) (cbrt.f64 (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (fma.f64 y (sqrt.f64 z) x))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (fma.f64 y (sqrt.f64 z) x)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (fma.f64 y (sqrt.f64 z) x)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (fma.f64 y (sqrt.f64 z) x)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 y (sqrt.f64 z) x)))) #s(literal 1 binary64))
(/.f64 (+.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 3 binary64)) (pow.f64 (*.f64 (sqrt.f64 z) (*.f64 y #s(literal 1/2 binary64))) #s(literal 3 binary64))) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 #s(literal 1/2 binary64) x) (-.f64 (*.f64 (*.f64 (sqrt.f64 z) (*.f64 y #s(literal 1/2 binary64))) (*.f64 (sqrt.f64 z) (*.f64 y #s(literal 1/2 binary64)))) (*.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 (sqrt.f64 z) (*.f64 y #s(literal 1/2 binary64)))))))
(/.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 #s(literal 1/2 binary64) x)) (*.f64 (*.f64 (sqrt.f64 z) (*.f64 y #s(literal 1/2 binary64))) (*.f64 (sqrt.f64 z) (*.f64 y #s(literal 1/2 binary64))))) (-.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 (sqrt.f64 z) (*.f64 y #s(literal 1/2 binary64)))))
(/.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 (pow.f64 z #s(literal 3/2 binary64)) (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 (*.f64 y (sqrt.f64 z)) (-.f64 (*.f64 y (sqrt.f64 z)) x) (pow.f64 x #s(literal 2 binary64))))
(/.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 z (pow.f64 y #s(literal 2 binary64))))) (-.f64 x (*.f64 y (sqrt.f64 z))))
(/.f64 (*.f64 (fma.f64 (pow.f64 z #s(literal 3/2 binary64)) (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) #s(literal 1/2 binary64)) (fma.f64 (*.f64 y (sqrt.f64 z)) (-.f64 (*.f64 y (sqrt.f64 z)) x) (pow.f64 x #s(literal 2 binary64))))
(/.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 z (pow.f64 y #s(literal 2 binary64)))) #s(literal 1/2 binary64)) (-.f64 x (*.f64 y (sqrt.f64 z))))
(pow.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 y (sqrt.f64 z) x)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 y (sqrt.f64 z) x))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 y (sqrt.f64 z) x)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 y (sqrt.f64 z) x))) #s(literal 2 binary64))
(sqrt.f64 (*.f64 (pow.f64 (fma.f64 y (sqrt.f64 z) x) #s(literal 2 binary64)) #s(literal 1/4 binary64)))
(log.f64 (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (fma.f64 y (sqrt.f64 z) x)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 y (sqrt.f64 z) x)))))
(log.f64 (*.f64 (exp.f64 (*.f64 (sqrt.f64 z) (*.f64 y #s(literal 1/2 binary64)))) (exp.f64 (*.f64 #s(literal 1/2 binary64) x))))
(cbrt.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 y (sqrt.f64 z) x)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 y (sqrt.f64 z) x))))
(log1p.f64 (expm1.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 y (sqrt.f64 z) x))))
(exp.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 y (sqrt.f64 z) x))))
(exp.f64 (*.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 y (sqrt.f64 z) x))) #s(literal 1 binary64)))
(fma.f64 y (*.f64 (sqrt.f64 z) #s(literal 1/2 binary64)) (*.f64 #s(literal 1/2 binary64) x))
(fma.f64 (sqrt.f64 z) (*.f64 y #s(literal 1/2 binary64)) (*.f64 #s(literal 1/2 binary64) x))
(fma.f64 (*.f64 y (sqrt.f64 z)) #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) x))
(fma.f64 #s(literal 1/2 binary64) (*.f64 y (sqrt.f64 z)) (*.f64 #s(literal 1/2 binary64) x))
(fma.f64 #s(literal 1/2 binary64) x (*.f64 (sqrt.f64 z) (*.f64 y #s(literal 1/2 binary64))))
(fma.f64 x #s(literal 1/2 binary64) (*.f64 (sqrt.f64 z) (*.f64 y #s(literal 1/2 binary64))))
(fma.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x) (*.f64 (sqrt.f64 z) (*.f64 y #s(literal 1/2 binary64))))
(fma.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 z) (*.f64 y #s(literal 1/2 binary64))) (*.f64 #s(literal 1/2 binary64) x))
(fma.f64 (cbrt.f64 (*.f64 z (pow.f64 y #s(literal 2 binary64)))) (*.f64 (cbrt.f64 (*.f64 y (sqrt.f64 z))) #s(literal 1/2 binary64)) (*.f64 #s(literal 1/2 binary64) x))
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (*.f64 (cbrt.f64 x) #s(literal 1/2 binary64)) (*.f64 (sqrt.f64 z) (*.f64 y #s(literal 1/2 binary64))))
(fma.f64 (sqrt.f64 (*.f64 y (sqrt.f64 z))) (*.f64 (sqrt.f64 (*.f64 y (sqrt.f64 z))) #s(literal 1/2 binary64)) (*.f64 #s(literal 1/2 binary64) x))
(fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) #s(literal 1/2 binary64)) (*.f64 (sqrt.f64 z) (*.f64 y #s(literal 1/2 binary64))))
(fma.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64) (*.f64 (*.f64 (sqrt.f64 z) (*.f64 y #s(literal 1/2 binary64))) #s(literal 1 binary64)))
(fma.f64 (*.f64 (cbrt.f64 (*.f64 #s(literal 1/2 binary64) x)) (cbrt.f64 (*.f64 #s(literal 1/2 binary64) x))) (cbrt.f64 (*.f64 #s(literal 1/2 binary64) x)) (*.f64 (sqrt.f64 z) (*.f64 y #s(literal 1/2 binary64))))
(fma.f64 (*.f64 (cbrt.f64 (*.f64 (sqrt.f64 z) (*.f64 y #s(literal 1/2 binary64)))) (cbrt.f64 (*.f64 (sqrt.f64 z) (*.f64 y #s(literal 1/2 binary64))))) (cbrt.f64 (*.f64 (sqrt.f64 z) (*.f64 y #s(literal 1/2 binary64)))) (*.f64 #s(literal 1/2 binary64) x))
(fma.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) x)) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) x)) (*.f64 (sqrt.f64 z) (*.f64 y #s(literal 1/2 binary64))))
(fma.f64 (sqrt.f64 (*.f64 (sqrt.f64 z) (*.f64 y #s(literal 1/2 binary64)))) (sqrt.f64 (*.f64 (sqrt.f64 z) (*.f64 y #s(literal 1/2 binary64)))) (*.f64 #s(literal 1/2 binary64) x))
(fma.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 x) (*.f64 (sqrt.f64 z) (*.f64 y #s(literal 1/2 binary64))))
(fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) (sqrt.f64 x) (*.f64 (sqrt.f64 z) (*.f64 y #s(literal 1/2 binary64))))
(fma.f64 (*.f64 #s(literal 1/2 binary64) y) (sqrt.f64 z) (*.f64 #s(literal 1/2 binary64) x))
(fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 z)) y (*.f64 #s(literal 1/2 binary64) x))
(fma.f64 (*.f64 #s(literal 1/2 binary64) (cbrt.f64 (*.f64 z (pow.f64 y #s(literal 2 binary64))))) (cbrt.f64 (*.f64 y (sqrt.f64 z))) (*.f64 #s(literal 1/2 binary64) x))
(fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 y (sqrt.f64 z)))) (sqrt.f64 (*.f64 y (sqrt.f64 z))) (*.f64 #s(literal 1/2 binary64) x))
(+.f64 (*.f64 y (sqrt.f64 z)) x)
(+.f64 x (*.f64 y (sqrt.f64 z)))
(+.f64 #s(literal 0 binary64) (fma.f64 y (sqrt.f64 z) x))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (fma.f64 y (sqrt.f64 z) x))) (cbrt.f64 (exp.f64 (fma.f64 y (sqrt.f64 z) x))))) (log.f64 (cbrt.f64 (exp.f64 (fma.f64 y (sqrt.f64 z) x)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (fma.f64 y (sqrt.f64 z) x)))) (log.f64 (sqrt.f64 (exp.f64 (fma.f64 y (sqrt.f64 z) x)))))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 y (sqrt.f64 z) x))) #s(literal 1 binary64))
(-.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 x (*.f64 y (sqrt.f64 z)))) (/.f64 (*.f64 z (pow.f64 y #s(literal 2 binary64))) (-.f64 x (*.f64 y (sqrt.f64 z)))))
(*.f64 (fma.f64 y (sqrt.f64 z) x) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (fma.f64 y (sqrt.f64 z) x))
(*.f64 (cbrt.f64 (fma.f64 y (sqrt.f64 z) x)) (pow.f64 (cbrt.f64 (fma.f64 y (sqrt.f64 z) x)) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 y (sqrt.f64 z) x)) #s(literal 2 binary64)) (cbrt.f64 (fma.f64 y (sqrt.f64 z) x)))
(*.f64 (sqrt.f64 (fma.f64 y (sqrt.f64 z) x)) (sqrt.f64 (fma.f64 y (sqrt.f64 z) x)))
(*.f64 (fma.f64 (pow.f64 z #s(literal 3/2 binary64)) (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y (sqrt.f64 z)) (-.f64 (*.f64 y (sqrt.f64 z)) x) (pow.f64 x #s(literal 2 binary64)))))
(*.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 z (pow.f64 y #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 x (*.f64 y (sqrt.f64 z)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 y (sqrt.f64 z)) (-.f64 (*.f64 y (sqrt.f64 z)) x) (pow.f64 x #s(literal 2 binary64))) (fma.f64 (pow.f64 z #s(literal 3/2 binary64)) (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x (*.f64 y (sqrt.f64 z))) (-.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 z (pow.f64 y #s(literal 2 binary64))))))
(/.f64 (fma.f64 (pow.f64 z #s(literal 3/2 binary64)) (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (*.f64 y (sqrt.f64 z)) (-.f64 (*.f64 y (sqrt.f64 z)) x) (pow.f64 x #s(literal 2 binary64))))
(/.f64 (fma.f64 (pow.f64 z #s(literal 3/2 binary64)) (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 z (pow.f64 y #s(literal 2 binary64)) (-.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 (*.f64 y (sqrt.f64 z)) x))))
(/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 z (pow.f64 y #s(literal 2 binary64)))) (-.f64 x (*.f64 y (sqrt.f64 z))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 z #s(literal 3/2 binary64)) (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (fma.f64 (*.f64 y (sqrt.f64 z)) (-.f64 (*.f64 y (sqrt.f64 z)) x) (pow.f64 x #s(literal 2 binary64)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 z (pow.f64 y #s(literal 2 binary64))))) (neg.f64 (-.f64 x (*.f64 y (sqrt.f64 z)))))
(/.f64 (-.f64 (*.f64 z (pow.f64 y #s(literal 2 binary64))) (pow.f64 x #s(literal 2 binary64))) (-.f64 (*.f64 y (sqrt.f64 z)) x))
(pow.f64 (fma.f64 y (sqrt.f64 z) x) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (fma.f64 y (sqrt.f64 z) x)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (fma.f64 y (sqrt.f64 z) x) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (fma.f64 y (sqrt.f64 z) x)) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (fma.f64 y (sqrt.f64 z) x) #s(literal 2 binary64)))
(log.f64 (exp.f64 (fma.f64 y (sqrt.f64 z) x)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 y (sqrt.f64 z) x))))
(log.f64 (*.f64 (pow.f64 (exp.f64 (sqrt.f64 z)) y) (+.f64 #s(literal 1 binary64) (expm1.f64 x))))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 y (sqrt.f64 z)))) (exp.f64 x)))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 y (sqrt.f64 z)))) (+.f64 #s(literal 1 binary64) (expm1.f64 x))))
(log.f64 (*.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 y (sqrt.f64 z))))))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 x)) (pow.f64 (exp.f64 (sqrt.f64 z)) y)))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 x)) (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 y (sqrt.f64 z))))))
(cbrt.f64 (pow.f64 (fma.f64 y (sqrt.f64 z) x) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (fma.f64 y (sqrt.f64 z) x)))
(log1p.f64 (expm1.f64 (fma.f64 y (sqrt.f64 z) x)))
(exp.f64 (log.f64 (fma.f64 y (sqrt.f64 z) x)))
(exp.f64 (*.f64 (log.f64 (fma.f64 y (sqrt.f64 z) x)) #s(literal 1 binary64)))
Outputs
(*.f64 #s(literal -1 binary64) (*.f64 (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (sqrt.f64 z)))
(neg.f64 (*.f64 (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (sqrt.f64 z)))
(*.f64 y (sqrt.f64 z))
(*.f64 #s(literal -1 binary64) (*.f64 (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (sqrt.f64 z)))
(neg.f64 (*.f64 (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (sqrt.f64 z)))
(*.f64 y (sqrt.f64 z))
(*.f64 #s(literal -1 binary64) (*.f64 (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (sqrt.f64 z)))
(neg.f64 (*.f64 (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (sqrt.f64 z)))
(*.f64 y (sqrt.f64 z))
(*.f64 #s(literal -1 binary64) (*.f64 (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (sqrt.f64 z)))
(neg.f64 (*.f64 (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (sqrt.f64 z)))
(*.f64 y (sqrt.f64 z))
(*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 z) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))
(*.f64 (neg.f64 (sqrt.f64 z)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))
(sqrt.f64 z)
(*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 z) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))
(*.f64 (neg.f64 (sqrt.f64 z)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))
(sqrt.f64 z)
(*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 z) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))
(*.f64 (neg.f64 (sqrt.f64 z)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))
(sqrt.f64 z)
(*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 z) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))
(*.f64 (neg.f64 (sqrt.f64 z)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))
(sqrt.f64 z)
(*.f64 #s(literal 1/2 binary64) (*.f64 y (sqrt.f64 z)))
(*.f64 (sqrt.f64 z) (*.f64 y #s(literal 1/2 binary64)))
(*.f64 y (*.f64 (sqrt.f64 z) #s(literal 1/2 binary64)))
(+.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 #s(literal 1/2 binary64) (*.f64 y (sqrt.f64 z))))
(*.f64 #s(literal 1/2 binary64) (fma.f64 y (sqrt.f64 z) x))
(+.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 #s(literal 1/2 binary64) (*.f64 y (sqrt.f64 z))))
(*.f64 #s(literal 1/2 binary64) (fma.f64 y (sqrt.f64 z) x))
(+.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 #s(literal 1/2 binary64) (*.f64 y (sqrt.f64 z))))
(*.f64 #s(literal 1/2 binary64) (fma.f64 y (sqrt.f64 z) x))
(*.f64 #s(literal 1/2 binary64) x)
(*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 y x) (sqrt.f64 z)))))
(*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 z) (/.f64 y x)))))
(*.f64 x (*.f64 (fma.f64 (sqrt.f64 z) (/.f64 y x) #s(literal 1 binary64)) #s(literal 1/2 binary64)))
(*.f64 x (fma.f64 (*.f64 y (/.f64 #s(literal 1/2 binary64) x)) (sqrt.f64 z) #s(literal 1/2 binary64)))
(*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 y x) (sqrt.f64 z)))))
(*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 z) (/.f64 y x)))))
(*.f64 x (*.f64 (fma.f64 (sqrt.f64 z) (/.f64 y x) #s(literal 1 binary64)) #s(literal 1/2 binary64)))
(*.f64 x (fma.f64 (*.f64 y (/.f64 #s(literal 1/2 binary64) x)) (sqrt.f64 z) #s(literal 1/2 binary64)))
(*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 y x) (sqrt.f64 z)))))
(*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 z) (/.f64 y x)))))
(*.f64 x (*.f64 (fma.f64 (sqrt.f64 z) (/.f64 y x) #s(literal 1 binary64)) #s(literal 1/2 binary64)))
(*.f64 x (fma.f64 (*.f64 y (/.f64 #s(literal 1/2 binary64) x)) (sqrt.f64 z) #s(literal 1/2 binary64)))
(*.f64 #s(literal 1/2 binary64) x)
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 y x) (sqrt.f64 z))) #s(literal 1/2 binary64))))
(*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 z) (/.f64 y x)))))
(*.f64 x (*.f64 (fma.f64 (sqrt.f64 z) (/.f64 y x) #s(literal 1 binary64)) #s(literal 1/2 binary64)))
(*.f64 x (fma.f64 (*.f64 y (/.f64 #s(literal 1/2 binary64) x)) (sqrt.f64 z) #s(literal 1/2 binary64)))
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 y x) (sqrt.f64 z))) #s(literal 1/2 binary64))))
(*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 z) (/.f64 y x)))))
(*.f64 x (*.f64 (fma.f64 (sqrt.f64 z) (/.f64 y x) #s(literal 1 binary64)) #s(literal 1/2 binary64)))
(*.f64 x (fma.f64 (*.f64 y (/.f64 #s(literal 1/2 binary64) x)) (sqrt.f64 z) #s(literal 1/2 binary64)))
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 y x) (sqrt.f64 z))) #s(literal 1/2 binary64))))
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(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 y (sqrt.f64 z)))) (exp.f64 x)))
(fma.f64 y (sqrt.f64 z) x)
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 y (sqrt.f64 z)))) (+.f64 #s(literal 1 binary64) (expm1.f64 x))))
(fma.f64 y (sqrt.f64 z) x)
(log.f64 (*.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 y (sqrt.f64 z))))))
(fma.f64 y (sqrt.f64 z) x)
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 x)) (pow.f64 (exp.f64 (sqrt.f64 z)) y)))
(fma.f64 y (sqrt.f64 z) x)
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 x)) (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 y (sqrt.f64 z))))))
(fma.f64 y (sqrt.f64 z) x)
(cbrt.f64 (pow.f64 (fma.f64 y (sqrt.f64 z) x) #s(literal 3 binary64)))
(fma.f64 y (sqrt.f64 z) x)
(expm1.f64 (log1p.f64 (fma.f64 y (sqrt.f64 z) x)))
(fma.f64 y (sqrt.f64 z) x)
(log1p.f64 (expm1.f64 (fma.f64 y (sqrt.f64 z) x)))
(fma.f64 y (sqrt.f64 z) x)
(exp.f64 (log.f64 (fma.f64 y (sqrt.f64 z) x)))
(fma.f64 y (sqrt.f64 z) x)
(exp.f64 (*.f64 (log.f64 (fma.f64 y (sqrt.f64 z) x)) #s(literal 1 binary64)))
(fma.f64 y (sqrt.f64 z) x)

eval1.1s (5.2%)

Compiler

Compiled 3372 to 757 computations (77.6% saved)

prune423.0ms (2.1%)

Pruning

15 alts after pruning (13 fresh and 2 done)

PrunedKeptTotal
New23413247
Fresh000
Picked022
Done000
Total23415249
Accuracy
100.0%
Counts
249 → 15
Alt Table
Click to see full alt table
StatusAccuracyProgram
98.1%
(pow.f64 (cbrt.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 y (sqrt.f64 z) x))) #s(literal 3 binary64))
86.9%
(*.f64 (*.f64 y #s(literal 1/2 binary64)) (+.f64 (sqrt.f64 z) (/.f64 x y)))
49.6%
(*.f64 (sqrt.f64 z) (*.f64 y #s(literal 1/2 binary64)))
87.5%
(*.f64 x (fma.f64 (*.f64 y (/.f64 #s(literal 1/2 binary64) x)) (sqrt.f64 z) #s(literal 1/2 binary64)))
87.5%
(*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 y x) (sqrt.f64 z)))))
99.0%
(*.f64 #s(literal 1/2 binary64) (fma.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (*.f64 (cbrt.f64 y) (sqrt.f64 z)) x))
99.6%
(*.f64 #s(literal 1/2 binary64) (fma.f64 (pow.f64 z #s(literal 1/4 binary64)) (*.f64 (pow.f64 z #s(literal 1/4 binary64)) y) x))
99.8%
(*.f64 #s(literal 1/2 binary64) (fma.f64 y (sqrt.f64 z) x))
99.1%
(*.f64 #s(literal 1/2 binary64) (+.f64 x (pow.f64 (cbrt.f64 (*.f64 y (sqrt.f64 z))) #s(literal 3 binary64))))
99.6%
(*.f64 #s(literal 1/2 binary64) (+.f64 x (*.f64 y (pow.f64 (pow.f64 z #s(literal 1/4 binary64)) #s(literal 2 binary64)))))
99.8%
(*.f64 #s(literal 1/2 binary64) (+.f64 x (*.f64 y (sqrt.f64 z))))
79.5%
(*.f64 #s(literal 1/2 binary64) (+.f64 x (*.f64 y (cbrt.f64 (pow.f64 z #s(literal 3/2 binary64))))))
55.7%
(*.f64 #s(literal 1/2 binary64) (+.f64 x (sqrt.f64 (*.f64 z (pow.f64 y #s(literal 2 binary64))))))
80.5%
(*.f64 #s(literal 1/2 binary64) (*.f64 z (+.f64 (*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) (/.f64 x z))))
51.5%
(*.f64 #s(literal 1/2 binary64) x)
Compiler

Compiled 365 to 263 computations (27.9% saved)

simplify412.0ms (2%)

Algorithm
egg-herbie
Localize:

Found 17 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 (pow.f64 z #s(literal 1/4 binary64)) y)
cost-diff0
(pow.f64 z #s(literal 1/4 binary64))
cost-diff6656
(fma.f64 (pow.f64 z #s(literal 1/4 binary64)) (*.f64 (pow.f64 z #s(literal 1/4 binary64)) y) x)
cost-diff6656
(*.f64 #s(literal 1/2 binary64) (fma.f64 (pow.f64 z #s(literal 1/4 binary64)) (*.f64 (pow.f64 z #s(literal 1/4 binary64)) y) x))
cost-diff-6272
(*.f64 #s(literal 1/2 binary64) (+.f64 x (*.f64 y (cbrt.f64 (pow.f64 z #s(literal 3/2 binary64))))))
cost-diff0
(pow.f64 z #s(literal 3/2 binary64))
cost-diff0
(cbrt.f64 (pow.f64 z #s(literal 3/2 binary64)))
cost-diff0
(*.f64 y (cbrt.f64 (pow.f64 z #s(literal 3/2 binary64))))
cost-diff-64
(sqrt.f64 z)
cost-diff0
(/.f64 y x)
cost-diff0
(*.f64 (/.f64 y x) (sqrt.f64 z))
cost-diff0
(*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 y x) (sqrt.f64 z)))
cost-diff0
(*.f64 #s(literal 1/2 binary64) x)
cost-diff256
(+.f64 x (*.f64 y (pow.f64 (pow.f64 z #s(literal 1/4 binary64)) #s(literal 2 binary64))))
cost-diff256
(*.f64 #s(literal 1/2 binary64) (+.f64 x (*.f64 y (pow.f64 (pow.f64 z #s(literal 1/4 binary64)) #s(literal 2 binary64)))))
cost-diff6528
(pow.f64 (pow.f64 z #s(literal 1/4 binary64)) #s(literal 2 binary64))
cost-diff6528
(*.f64 y (pow.f64 (pow.f64 z #s(literal 1/4 binary64)) #s(literal 2 binary64)))
Rules
2485×associate-*r/
1790×associate-*l/
718×associate-/l/
414×fma-define
391×associate-*r*
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
035581
170501
2145485
3307485
4535485
5924485
61912485
72692485
83441485
93479485
103494485
113494485
123494485
133836485
143857485
153857485
163857485
Stop Event
node limit
Calls
Call 1
Inputs
(*.f64 #s(literal 1/2 binary64) (+.f64 x (*.f64 y (pow.f64 (pow.f64 z #s(literal 1/4 binary64)) #s(literal 2 binary64)))))
#s(literal 1/2 binary64)
(+.f64 x (*.f64 y (pow.f64 (pow.f64 z #s(literal 1/4 binary64)) #s(literal 2 binary64))))
x
(*.f64 y (pow.f64 (pow.f64 z #s(literal 1/4 binary64)) #s(literal 2 binary64)))
y
(pow.f64 (pow.f64 z #s(literal 1/4 binary64)) #s(literal 2 binary64))
(pow.f64 z #s(literal 1/4 binary64))
z
#s(literal 1/4 binary64)
#s(literal 2 binary64)
(*.f64 #s(literal 1/2 binary64) x)
#s(literal 1/2 binary64)
x
(*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 y x) (sqrt.f64 z)))))
x
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 y x) (sqrt.f64 z))))
#s(literal 1/2 binary64)
(*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 y x) (sqrt.f64 z)))
(*.f64 (/.f64 y x) (sqrt.f64 z))
(/.f64 y x)
y
(sqrt.f64 z)
z
(*.f64 #s(literal 1/2 binary64) (+.f64 x (*.f64 y (cbrt.f64 (pow.f64 z #s(literal 3/2 binary64))))))
#s(literal 1/2 binary64)
(+.f64 x (*.f64 y (cbrt.f64 (pow.f64 z #s(literal 3/2 binary64)))))
x
(*.f64 y (cbrt.f64 (pow.f64 z #s(literal 3/2 binary64))))
y
(cbrt.f64 (pow.f64 z #s(literal 3/2 binary64)))
(pow.f64 z #s(literal 3/2 binary64))
z
#s(literal 3/2 binary64)
(*.f64 #s(literal 1/2 binary64) (fma.f64 (pow.f64 z #s(literal 1/4 binary64)) (*.f64 (pow.f64 z #s(literal 1/4 binary64)) y) x))
#s(literal 1/2 binary64)
(fma.f64 (pow.f64 z #s(literal 1/4 binary64)) (*.f64 (pow.f64 z #s(literal 1/4 binary64)) y) x)
(pow.f64 z #s(literal 1/4 binary64))
z
#s(literal 1/4 binary64)
(*.f64 (pow.f64 z #s(literal 1/4 binary64)) y)
y
x
Outputs
(*.f64 #s(literal 1/2 binary64) (+.f64 x (*.f64 y (pow.f64 (pow.f64 z #s(literal 1/4 binary64)) #s(literal 2 binary64)))))
(*.f64 #s(literal 1/2 binary64) (fma.f64 y (pow.f64 z #s(literal 1/2 binary64)) x))
(*.f64 #s(literal 1/2 binary64) (fma.f64 y (sqrt.f64 z) x))
#s(literal 1/2 binary64)
(+.f64 x (*.f64 y (pow.f64 (pow.f64 z #s(literal 1/4 binary64)) #s(literal 2 binary64))))
(fma.f64 y (pow.f64 z #s(literal 1/2 binary64)) x)
(fma.f64 y (sqrt.f64 z) x)
x
(*.f64 y (pow.f64 (pow.f64 z #s(literal 1/4 binary64)) #s(literal 2 binary64)))
(*.f64 y (pow.f64 z #s(literal 1/2 binary64)))
(*.f64 y (sqrt.f64 z))
y
(pow.f64 (pow.f64 z #s(literal 1/4 binary64)) #s(literal 2 binary64))
(pow.f64 z #s(literal 1/2 binary64))
(sqrt.f64 z)
(pow.f64 z #s(literal 1/4 binary64))
z
#s(literal 1/4 binary64)
#s(literal 2 binary64)
(*.f64 #s(literal 1/2 binary64) x)
#s(literal 1/2 binary64)
x
(*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 y x) (sqrt.f64 z)))))
(*.f64 #s(literal 1/2 binary64) (+.f64 x (*.f64 y (pow.f64 (pow.f64 z #s(literal 1/4 binary64)) #s(literal 2 binary64)))))
(*.f64 #s(literal 1/2 binary64) (fma.f64 y (pow.f64 z #s(literal 1/2 binary64)) x))
(*.f64 #s(literal 1/2 binary64) (fma.f64 y (sqrt.f64 z) x))
x
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 y x) (sqrt.f64 z))))
(fma.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 y x) (sqrt.f64 z)) #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) (fma.f64 (/.f64 y x) (sqrt.f64 z) #s(literal 1 binary64)))
(fma.f64 y (*.f64 (sqrt.f64 z) (/.f64 #s(literal 1/2 binary64) x)) #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
(*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 y x) (sqrt.f64 z)))
(*.f64 y (*.f64 (sqrt.f64 z) (/.f64 #s(literal 1/2 binary64) x)))
(*.f64 (sqrt.f64 z) (*.f64 #s(literal 1/2 binary64) (/.f64 y x)))
(*.f64 (/.f64 y x) (sqrt.f64 z))
(*.f64 y (/.f64 (sqrt.f64 z) x))
(/.f64 y x)
y
(sqrt.f64 z)
(pow.f64 (pow.f64 z #s(literal 1/4 binary64)) #s(literal 2 binary64))
(pow.f64 z #s(literal 1/2 binary64))
z
(*.f64 #s(literal 1/2 binary64) (+.f64 x (*.f64 y (cbrt.f64 (pow.f64 z #s(literal 3/2 binary64))))))
(*.f64 #s(literal 1/2 binary64) (fma.f64 y (cbrt.f64 (pow.f64 z #s(literal 3/2 binary64))) x))
#s(literal 1/2 binary64)
(+.f64 x (*.f64 y (cbrt.f64 (pow.f64 z #s(literal 3/2 binary64)))))
(fma.f64 y (cbrt.f64 (pow.f64 z #s(literal 3/2 binary64))) x)
x
(*.f64 y (cbrt.f64 (pow.f64 z #s(literal 3/2 binary64))))
y
(cbrt.f64 (pow.f64 z #s(literal 3/2 binary64)))
(pow.f64 z #s(literal 3/2 binary64))
z
#s(literal 3/2 binary64)
(*.f64 #s(literal 1/2 binary64) (fma.f64 (pow.f64 z #s(literal 1/4 binary64)) (*.f64 (pow.f64 z #s(literal 1/4 binary64)) y) x))
(*.f64 #s(literal 1/2 binary64) (+.f64 x (*.f64 y (pow.f64 (pow.f64 z #s(literal 1/4 binary64)) #s(literal 2 binary64)))))
(*.f64 #s(literal 1/2 binary64) (fma.f64 y (pow.f64 z #s(literal 1/2 binary64)) x))
(*.f64 #s(literal 1/2 binary64) (fma.f64 y (sqrt.f64 z) x))
#s(literal 1/2 binary64)
(fma.f64 (pow.f64 z #s(literal 1/4 binary64)) (*.f64 (pow.f64 z #s(literal 1/4 binary64)) y) x)
(+.f64 x (*.f64 y (pow.f64 (pow.f64 z #s(literal 1/4 binary64)) #s(literal 2 binary64))))
(fma.f64 y (pow.f64 z #s(literal 1/2 binary64)) x)
(fma.f64 y (sqrt.f64 z) x)
(pow.f64 z #s(literal 1/4 binary64))
z
#s(literal 1/4 binary64)
(*.f64 (pow.f64 z #s(literal 1/4 binary64)) y)
(*.f64 y (pow.f64 z #s(literal 1/4 binary64)))
y
x

localize431.0ms (2.1%)

Localize:

Found 17 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(pow.f64 z #s(literal 1/4 binary64))
accuracy100.0%
(*.f64 #s(literal 1/2 binary64) (fma.f64 (pow.f64 z #s(literal 1/4 binary64)) (*.f64 (pow.f64 z #s(literal 1/4 binary64)) y) x))
accuracy99.8%
(fma.f64 (pow.f64 z #s(literal 1/4 binary64)) (*.f64 (pow.f64 z #s(literal 1/4 binary64)) y) x)
accuracy99.6%
(*.f64 (pow.f64 z #s(literal 1/4 binary64)) y)
accuracy100.0%
(pow.f64 z #s(literal 3/2 binary64))
accuracy100.0%
(+.f64 x (*.f64 y (cbrt.f64 (pow.f64 z #s(literal 3/2 binary64)))))
accuracy99.6%
(*.f64 y (cbrt.f64 (pow.f64 z #s(literal 3/2 binary64))))
accuracy64.4%
(cbrt.f64 (pow.f64 z #s(literal 3/2 binary64)))
accuracy100.0%
(*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 y x) (sqrt.f64 z)))
accuracy100.0%
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 y x) (sqrt.f64 z))))
accuracy95.1%
(*.f64 (/.f64 y x) (sqrt.f64 z))
accuracy90.2%
(*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 y x) (sqrt.f64 z)))))
accuracy100.0%
(*.f64 #s(literal 1/2 binary64) x)
accuracy100.0%
(*.f64 #s(literal 1/2 binary64) (+.f64 x (*.f64 y (pow.f64 (pow.f64 z #s(literal 1/4 binary64)) #s(literal 2 binary64)))))
accuracy100.0%
(+.f64 x (*.f64 y (pow.f64 (pow.f64 z #s(literal 1/4 binary64)) #s(literal 2 binary64))))
accuracy99.6%
(*.f64 y (pow.f64 (pow.f64 z #s(literal 1/4 binary64)) #s(literal 2 binary64)))
accuracy99.2%
(pow.f64 (pow.f64 z #s(literal 1/4 binary64)) #s(literal 2 binary64))
Results
236.0ms256×0valid
Compiler

Compiled 166 to 28 computations (83.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 117.0ms
ival-mult: 46.0ms (39.2% of total)
ival-pow: 39.0ms (33.2% of total)
ival-add: 9.0ms (7.7% of total)
ival-fma: 8.0ms (6.8% of total)
ival-div: 6.0ms (5.1% of total)
ival-cbrt: 4.0ms (3.4% of total)
ival-sqrt: 4.0ms (3.4% of total)
const: 2.0ms (1.7% of total)
backward-pass: 0.0ms (0% of total)

series558.0ms (2.7%)

Counts
19 → 396
Calls
Call 1
Inputs
#<alt (*.f64 y (pow.f64 (pow.f64 z #s(literal 1/4 binary64)) #s(literal 2 binary64)))>
#<alt (pow.f64 (pow.f64 z #s(literal 1/4 binary64)) #s(literal 2 binary64))>
#<alt (*.f64 #s(literal 1/2 binary64) (+.f64 x (*.f64 y (pow.f64 (pow.f64 z #s(literal 1/4 binary64)) #s(literal 2 binary64)))))>
#<alt (+.f64 x (*.f64 y (pow.f64 (pow.f64 z #s(literal 1/4 binary64)) #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal 1/2 binary64) x)>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 y x) (sqrt.f64 z)))>
#<alt (*.f64 (/.f64 y x) (sqrt.f64 z))>
#<alt (/.f64 y x)>
#<alt (*.f64 y (cbrt.f64 (pow.f64 z #s(literal 3/2 binary64))))>
#<alt (cbrt.f64 (pow.f64 z #s(literal 3/2 binary64)))>
#<alt (pow.f64 z #s(literal 3/2 binary64))>
#<alt (*.f64 #s(literal 1/2 binary64) (+.f64 x (*.f64 y (cbrt.f64 (pow.f64 z #s(literal 3/2 binary64))))))>
#<alt (*.f64 #s(literal 1/2 binary64) (fma.f64 (pow.f64 z #s(literal 1/4 binary64)) (*.f64 (pow.f64 z #s(literal 1/4 binary64)) y) x))>
#<alt (fma.f64 (pow.f64 z #s(literal 1/4 binary64)) (*.f64 (pow.f64 z #s(literal 1/4 binary64)) y) x)>
#<alt (pow.f64 z #s(literal 1/4 binary64))>
#<alt (*.f64 (pow.f64 z #s(literal 1/4 binary64)) y)>
#<alt (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 y x) (sqrt.f64 z)))))>
#<alt (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 y x) (sqrt.f64 z))))>
#<alt (+.f64 x (*.f64 y (cbrt.f64 (pow.f64 z #s(literal 3/2 binary64)))))>
Outputs
#<alt (*.f64 y (sqrt.f64 z))>
#<alt (*.f64 y (sqrt.f64 z))>
#<alt (*.f64 y (sqrt.f64 z))>
#<alt (*.f64 y (sqrt.f64 z))>
#<alt (*.f64 y (sqrt.f64 z))>
#<alt (*.f64 y (sqrt.f64 z))>
#<alt (*.f64 y (sqrt.f64 z))>
#<alt (*.f64 y (sqrt.f64 z))>
#<alt (*.f64 y (sqrt.f64 z))>
#<alt (*.f64 y (sqrt.f64 z))>
#<alt (*.f64 y (sqrt.f64 z))>
#<alt (*.f64 y (sqrt.f64 z))>
#<alt (*.f64 y (sqrt.f64 z))>
#<alt (*.f64 y (sqrt.f64 z))>
#<alt (*.f64 y (sqrt.f64 z))>
#<alt (*.f64 y (sqrt.f64 z))>
#<alt (*.f64 y (sqrt.f64 z))>
#<alt (*.f64 y (sqrt.f64 z))>
#<alt (*.f64 y (sqrt.f64 z))>
#<alt (*.f64 y (sqrt.f64 z))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (sqrt.f64 z)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (sqrt.f64 z)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (sqrt.f64 z)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (sqrt.f64 z)))>
#<alt (sqrt.f64 z)>
#<alt (sqrt.f64 z)>
#<alt (sqrt.f64 z)>
#<alt (sqrt.f64 z)>
#<alt (sqrt.f64 z)>
#<alt (sqrt.f64 z)>
#<alt (sqrt.f64 z)>
#<alt (sqrt.f64 z)>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 z) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 z) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 z) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 z) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 y (sqrt.f64 z)))>
#<alt (+.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 #s(literal 1/2 binary64) (*.f64 y (sqrt.f64 z))))>
#<alt (+.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 #s(literal 1/2 binary64) (*.f64 y (sqrt.f64 z))))>
#<alt (+.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 #s(literal 1/2 binary64) (*.f64 y (sqrt.f64 z))))>
#<alt (*.f64 #s(literal 1/2 binary64) x)>
#<alt (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 y x) (sqrt.f64 z)))))>
#<alt (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 y x) (sqrt.f64 z)))))>
#<alt (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 y x) (sqrt.f64 z)))))>
#<alt (*.f64 #s(literal 1/2 binary64) x)>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 y x) (sqrt.f64 z))) #s(literal 1/2 binary64))))>
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#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (*.f64 (/.f64 y x) (sqrt.f64 z))) #s(literal 1 binary64))))>
#<alt x>
#<alt (+.f64 x (*.f64 y (sqrt.f64 z)))>
#<alt (+.f64 x (*.f64 y (sqrt.f64 z)))>
#<alt (+.f64 x (*.f64 y (sqrt.f64 z)))>
#<alt (*.f64 y (sqrt.f64 z))>
#<alt (*.f64 y (+.f64 (sqrt.f64 z) (/.f64 x y)))>
#<alt (*.f64 y (+.f64 (sqrt.f64 z) (/.f64 x y)))>
#<alt (*.f64 y (+.f64 (sqrt.f64 z) (/.f64 x y)))>
#<alt (*.f64 y (sqrt.f64 z))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 z)) (*.f64 #s(literal -1 binary64) (/.f64 x y)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 z)) (*.f64 #s(literal -1 binary64) (/.f64 x y)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 z)) (*.f64 #s(literal -1 binary64) (/.f64 x y)))))>
#<alt (+.f64 x (*.f64 y (sqrt.f64 z)))>
#<alt (+.f64 x (*.f64 y (sqrt.f64 z)))>
#<alt (+.f64 x (*.f64 y (sqrt.f64 z)))>
#<alt (+.f64 x (*.f64 y (sqrt.f64 z)))>
#<alt (*.f64 y (sqrt.f64 z))>
#<alt (*.f64 z (+.f64 (*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) (/.f64 x z)))>
#<alt (*.f64 z (+.f64 (*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) (/.f64 x z)))>
#<alt (*.f64 z (+.f64 (*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) (/.f64 x z)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (*.f64 (sqrt.f64 z) (cbrt.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x z)) (*.f64 y (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (cbrt.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64))))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x z)) (*.f64 y (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (cbrt.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64))))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x z)) (*.f64 y (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (cbrt.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64))))))))>
Calls

129 calls:

TimeVariablePointExpression
252.0ms
y
@0
(* (pow z 1/4) y)
118.0ms
z
@0
(pow z 1/4)
40.0ms
z
@-inf
(pow z 1/4)
14.0ms
z
@inf
(pow z 1/4)
7.0ms
z
@-inf
(* y (cbrt (pow z 3/2)))

rewrite551.0ms (2.7%)

Algorithm
batch-egg-rewrite
Rules
728×log1p-expm1-u
249×associate-*r*
232×expm1-log1p-u
219×pow1
212×add-cube-cbrt
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
035429
1532397
27189397
Stop Event
node limit
Counts
19 → 480
Calls
Call 1
Inputs
(*.f64 y (pow.f64 (pow.f64 z #s(literal 1/4 binary64)) #s(literal 2 binary64)))
(pow.f64 (pow.f64 z #s(literal 1/4 binary64)) #s(literal 2 binary64))
(*.f64 #s(literal 1/2 binary64) (+.f64 x (*.f64 y (pow.f64 (pow.f64 z #s(literal 1/4 binary64)) #s(literal 2 binary64)))))
(+.f64 x (*.f64 y (pow.f64 (pow.f64 z #s(literal 1/4 binary64)) #s(literal 2 binary64))))
(*.f64 #s(literal 1/2 binary64) x)
(*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 y x) (sqrt.f64 z)))
(*.f64 (/.f64 y x) (sqrt.f64 z))
(/.f64 y x)
(*.f64 y (cbrt.f64 (pow.f64 z #s(literal 3/2 binary64))))
(cbrt.f64 (pow.f64 z #s(literal 3/2 binary64)))
(pow.f64 z #s(literal 3/2 binary64))
(*.f64 #s(literal 1/2 binary64) (+.f64 x (*.f64 y (cbrt.f64 (pow.f64 z #s(literal 3/2 binary64))))))
(*.f64 #s(literal 1/2 binary64) (fma.f64 (pow.f64 z #s(literal 1/4 binary64)) (*.f64 (pow.f64 z #s(literal 1/4 binary64)) y) x))
(fma.f64 (pow.f64 z #s(literal 1/4 binary64)) (*.f64 (pow.f64 z #s(literal 1/4 binary64)) y) x)
(pow.f64 z #s(literal 1/4 binary64))
(*.f64 (pow.f64 z #s(literal 1/4 binary64)) y)
(*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 y x) (sqrt.f64 z)))))
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 y x) (sqrt.f64 z))))
(+.f64 x (*.f64 y (cbrt.f64 (pow.f64 z #s(literal 3/2 binary64)))))
Outputs
(-.f64 (exp.f64 (log1p.f64 (*.f64 y (sqrt.f64 z)))) #s(literal 1 binary64))
(pow.f64 (*.f64 y (sqrt.f64 z)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 y (sqrt.f64 z))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 y (sqrt.f64 z)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 y (sqrt.f64 z))) #s(literal 2 binary64))
(sqrt.f64 (*.f64 z (pow.f64 y #s(literal 2 binary64))))
(log.f64 (pow.f64 (exp.f64 y) (sqrt.f64 z)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 y (sqrt.f64 z)))))
(cbrt.f64 (pow.f64 (*.f64 y (sqrt.f64 z)) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 z #s(literal 3/4 binary64)) (pow.f64 (*.f64 y (pow.f64 z #s(literal 1/4 binary64))) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 y (sqrt.f64 z))))
(log1p.f64 (expm1.f64 (*.f64 y (sqrt.f64 z))))
(exp.f64 (log.f64 (*.f64 y (sqrt.f64 z))))
(exp.f64 (*.f64 (log.f64 (*.f64 y (sqrt.f64 z))) #s(literal 1 binary64)))
(exp.f64 (+.f64 (*.f64 #s(literal 1/4 binary64) (log.f64 z)) (log.f64 (*.f64 y (pow.f64 z #s(literal 1/4 binary64))))))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 z))) #s(literal 1 binary64))
(*.f64 (pow.f64 z #s(literal 1/4 binary64)) (pow.f64 z #s(literal 1/4 binary64)))
(*.f64 (sqrt.f64 z) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (sqrt.f64 z))
(*.f64 (cbrt.f64 (sqrt.f64 z)) (cbrt.f64 z))
(*.f64 (cbrt.f64 (sqrt.f64 z)) (*.f64 (cbrt.f64 (pow.f64 z #s(literal 1/4 binary64))) (pow.f64 z #s(literal 1/4 binary64))))
(*.f64 (cbrt.f64 z) (cbrt.f64 (sqrt.f64 z)))
(*.f64 (pow.f64 z #s(literal 1/8 binary64)) (*.f64 (pow.f64 z #s(literal 1/8 binary64)) (pow.f64 z #s(literal 1/4 binary64))))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/2 binary64)) (sqrt.f64 z))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 z #s(literal 2 binary64))) #s(literal 1/2 binary64)) (pow.f64 (cbrt.f64 z) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/3 binary64)) (sqrt.f64 z))
(*.f64 (*.f64 (pow.f64 z #s(literal 1/4 binary64)) (pow.f64 z #s(literal 1/8 binary64))) (pow.f64 z #s(literal 1/8 binary64)))
(*.f64 (sqrt.f64 (cbrt.f64 (pow.f64 z #s(literal 2 binary64)))) (sqrt.f64 (cbrt.f64 z)))
(*.f64 (*.f64 (pow.f64 z #s(literal 1/4 binary64)) (cbrt.f64 (sqrt.f64 z))) (cbrt.f64 (pow.f64 z #s(literal 1/4 binary64))))
(sqrt.f64 z)
(fabs.f64 (sqrt.f64 z))
(log.f64 (exp.f64 (sqrt.f64 z)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (sqrt.f64 z))))
(cbrt.f64 (pow.f64 z #s(literal 3/2 binary64)))
(expm1.f64 (log1p.f64 (sqrt.f64 z)))
(log1p.f64 (expm1.f64 (sqrt.f64 z)))
(exp.f64 (log.f64 (sqrt.f64 z)))
(exp.f64 (*.f64 (log.f64 z) #s(literal 1/2 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 z)) #s(literal 1 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 3/2 binary64) (log.f64 z)) #s(literal 1/3 binary64)))
(+.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 y (*.f64 (sqrt.f64 z) #s(literal 1/2 binary64))))
(+.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 (*.f64 y (*.f64 (sqrt.f64 z) #s(literal 1/2 binary64))) #s(literal 1 binary64)))
(+.f64 (*.f64 y (*.f64 (sqrt.f64 z) #s(literal 1/2 binary64))) (*.f64 #s(literal 1/2 binary64) x))
(-.f64 (exp.f64 (log1p.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 y (sqrt.f64 z) x)))) #s(literal 1 binary64))
(/.f64 (+.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 3 binary64)) (pow.f64 (*.f64 y (*.f64 (sqrt.f64 z) #s(literal 1/2 binary64))) #s(literal 3 binary64))) (+.f64 (*.f64 #s(literal 1/4 binary64) (pow.f64 x #s(literal 2 binary64))) (-.f64 (*.f64 (*.f64 y (*.f64 (sqrt.f64 z) #s(literal 1/2 binary64))) (*.f64 y (*.f64 (sqrt.f64 z) #s(literal 1/2 binary64)))) (*.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 y (*.f64 (sqrt.f64 z) #s(literal 1/2 binary64)))))))
(/.f64 (-.f64 (*.f64 #s(literal 1/4 binary64) (pow.f64 x #s(literal 2 binary64))) (*.f64 (*.f64 y (*.f64 (sqrt.f64 z) #s(literal 1/2 binary64))) (*.f64 y (*.f64 (sqrt.f64 z) #s(literal 1/2 binary64))))) (-.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 y (*.f64 (sqrt.f64 z) #s(literal 1/2 binary64)))))
(/.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (pow.f64 (*.f64 y (sqrt.f64 z)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 x x (*.f64 (*.f64 y (sqrt.f64 z)) (-.f64 (*.f64 y (sqrt.f64 z)) x))))
(/.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 z (pow.f64 y #s(literal 2 binary64))))) (-.f64 x (*.f64 y (sqrt.f64 z))))
(/.f64 (*.f64 (+.f64 (pow.f64 (*.f64 y (sqrt.f64 z)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) #s(literal 1/2 binary64)) (fma.f64 x x (*.f64 (*.f64 y (sqrt.f64 z)) (-.f64 (*.f64 y (sqrt.f64 z)) x))))
(/.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 z (pow.f64 y #s(literal 2 binary64)))) #s(literal 1/2 binary64)) (-.f64 x (*.f64 y (sqrt.f64 z))))
(pow.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 y (sqrt.f64 z) x)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 y (sqrt.f64 z) x))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 y (sqrt.f64 z) x)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 y (sqrt.f64 z) x))) #s(literal 2 binary64))
(sqrt.f64 (*.f64 #s(literal 1/4 binary64) (pow.f64 (fma.f64 y (sqrt.f64 z) x) #s(literal 2 binary64))))
(log.f64 (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (fma.f64 y (sqrt.f64 z) x)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 y (sqrt.f64 z) x)))))
(cbrt.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 y (sqrt.f64 z) x)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 y (sqrt.f64 z) x))))
(log1p.f64 (expm1.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 y (sqrt.f64 z) x))))
(exp.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 y (sqrt.f64 z) x))))
(exp.f64 (*.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 y (sqrt.f64 z) x))) #s(literal 1 binary64)))
(fma.f64 #s(literal 1/2 binary64) x (*.f64 y (*.f64 (sqrt.f64 z) #s(literal 1/2 binary64))))
(fma.f64 x #s(literal 1/2 binary64) (*.f64 y (*.f64 (sqrt.f64 z) #s(literal 1/2 binary64))))
(fma.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x) (*.f64 y (*.f64 (sqrt.f64 z) #s(literal 1/2 binary64))))
(fma.f64 (cbrt.f64 (*.f64 #s(literal 1/4 binary64) (pow.f64 x #s(literal 2 binary64)))) (cbrt.f64 (*.f64 #s(literal 1/2 binary64) x)) (*.f64 y (*.f64 (sqrt.f64 z) #s(literal 1/2 binary64))))
(fma.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) x)) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) x)) (*.f64 y (*.f64 (sqrt.f64 z) #s(literal 1/2 binary64))))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 y (sqrt.f64 z) x))) #s(literal 1 binary64))
(-.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 x (*.f64 y (sqrt.f64 z)))) (/.f64 (*.f64 z (pow.f64 y #s(literal 2 binary64))) (-.f64 x (*.f64 y (sqrt.f64 z)))))
(*.f64 (fma.f64 y (sqrt.f64 z) x) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (fma.f64 y (sqrt.f64 z) x))
(*.f64 (cbrt.f64 (fma.f64 y (sqrt.f64 z) x)) (cbrt.f64 (pow.f64 (fma.f64 y (sqrt.f64 z) x) #s(literal 2 binary64))))
(*.f64 (cbrt.f64 (pow.f64 (fma.f64 y (sqrt.f64 z) x) #s(literal 2 binary64))) (cbrt.f64 (fma.f64 y (sqrt.f64 z) x)))
(*.f64 (sqrt.f64 (fma.f64 y (sqrt.f64 z) x)) (sqrt.f64 (fma.f64 y (sqrt.f64 z) x)))
(*.f64 (+.f64 (pow.f64 (*.f64 y (sqrt.f64 z)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x x (*.f64 (*.f64 y (sqrt.f64 z)) (-.f64 (*.f64 y (sqrt.f64 z)) x)))))
(*.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 z (pow.f64 y #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 x (*.f64 y (sqrt.f64 z)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x (*.f64 y (sqrt.f64 z))) (-.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 z (pow.f64 y #s(literal 2 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x x (*.f64 (*.f64 y (sqrt.f64 z)) (-.f64 (*.f64 y (sqrt.f64 z)) x))) (+.f64 (pow.f64 (*.f64 y (sqrt.f64 z)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))))
(/.f64 (+.f64 (pow.f64 (*.f64 y (sqrt.f64 z)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 x x (*.f64 (*.f64 y (sqrt.f64 z)) (-.f64 (*.f64 y (sqrt.f64 z)) x))))
(/.f64 (+.f64 (pow.f64 (*.f64 y (sqrt.f64 z)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (+.f64 (*.f64 z (pow.f64 y #s(literal 2 binary64))) (-.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 (*.f64 y (sqrt.f64 z)) x))))
(/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 z (pow.f64 y #s(literal 2 binary64)))) (-.f64 x (*.f64 y (sqrt.f64 z))))
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 z (pow.f64 y #s(literal 2 binary64))))) (neg.f64 (-.f64 x (*.f64 y (sqrt.f64 z)))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 y (sqrt.f64 z)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (fma.f64 x x (*.f64 (*.f64 y (sqrt.f64 z)) (-.f64 (*.f64 y (sqrt.f64 z)) x)))))
(/.f64 (-.f64 (*.f64 z (pow.f64 y #s(literal 2 binary64))) (pow.f64 x #s(literal 2 binary64))) (-.f64 (*.f64 y (sqrt.f64 z)) x))
(pow.f64 (fma.f64 y (sqrt.f64 z) x) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (fma.f64 y (sqrt.f64 z) x)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (fma.f64 y (sqrt.f64 z) x) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (fma.f64 y (sqrt.f64 z) x)) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (fma.f64 y (sqrt.f64 z) x) #s(literal 2 binary64)))
(log.f64 (exp.f64 (fma.f64 y (sqrt.f64 z) x)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 y (sqrt.f64 z) x))))
(cbrt.f64 (pow.f64 (fma.f64 y (sqrt.f64 z) x) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (fma.f64 y (sqrt.f64 z) x)))
(log1p.f64 (expm1.f64 (fma.f64 y (sqrt.f64 z) x)))
(exp.f64 (log.f64 (fma.f64 y (sqrt.f64 z) x)))
(exp.f64 (*.f64 (log.f64 (fma.f64 y (sqrt.f64 z) x)) #s(literal 1 binary64)))
(fma.f64 y (sqrt.f64 z) x)
(fma.f64 (pow.f64 z #s(literal 1/4 binary64)) (*.f64 y (pow.f64 z #s(literal 1/4 binary64))) x)
(fma.f64 (sqrt.f64 z) y x)
(fma.f64 #s(literal 1 binary64) (*.f64 y (sqrt.f64 z)) x)
(fma.f64 #s(literal 1 binary64) x (*.f64 y (sqrt.f64 z)))
(fma.f64 (cbrt.f64 (*.f64 z (pow.f64 y #s(literal 2 binary64)))) (cbrt.f64 (*.f64 y (sqrt.f64 z))) x)
(fma.f64 (cbrt.f64 (pow.f64 x #s(literal 2 binary64))) (cbrt.f64 x) (*.f64 y (sqrt.f64 z)))
(fma.f64 (sqrt.f64 (*.f64 y (sqrt.f64 z))) (sqrt.f64 (*.f64 y (sqrt.f64 z))) x)
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 y (sqrt.f64 z)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 #s(literal 1/2 binary64) x))) #s(literal 1 binary64))
(pow.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64))
(sqrt.f64 (*.f64 #s(literal 1/4 binary64) (pow.f64 x #s(literal 2 binary64))))
(log.f64 (pow.f64 (exp.f64 #s(literal 1/2 binary64)) x))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 #s(literal 1/2 binary64) x))))
(cbrt.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 #s(literal 1/2 binary64) x)))
(log1p.f64 (expm1.f64 (*.f64 #s(literal 1/2 binary64) x)))
(exp.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) x)))
(exp.f64 (*.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 y (/.f64 (sqrt.f64 z) x))))) #s(literal 1 binary64))
(/.f64 (*.f64 y (*.f64 (sqrt.f64 z) #s(literal 1/2 binary64))) x)
(pow.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 y (/.f64 (sqrt.f64 z) x))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 y (/.f64 (sqrt.f64 z) x)))) #s(literal 3 binary64))
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(/.f64 (-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 z (pow.f64 (/.f64 y x) #s(literal 2 binary64)))) #s(literal 1/4 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 y (/.f64 (sqrt.f64 z) x))) #s(literal 1/2 binary64)))
(pow.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 y (/.f64 (sqrt.f64 z) x)) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 y (/.f64 (sqrt.f64 z) x)) #s(literal 1/2 binary64))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 y (/.f64 (sqrt.f64 z) x)) #s(literal 1/2 binary64)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 y (/.f64 (sqrt.f64 z) x)) #s(literal 1/2 binary64))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 y (/.f64 (sqrt.f64 z) x)) #s(literal 1/2 binary64)) #s(literal 2 binary64)))
(log.f64 (exp.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 y (/.f64 (sqrt.f64 z) x)) #s(literal 1/2 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 y (/.f64 (sqrt.f64 z) x)) #s(literal 1/2 binary64)))))
(cbrt.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 y (/.f64 (sqrt.f64 z) x)) #s(literal 1/2 binary64)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 y (/.f64 (sqrt.f64 z) x)) #s(literal 1/2 binary64))))
(log1p.f64 (expm1.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 y (/.f64 (sqrt.f64 z) x)) #s(literal 1/2 binary64))))
(exp.f64 (log.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 y (/.f64 (sqrt.f64 z) x)) #s(literal 1/2 binary64))))
(exp.f64 (*.f64 (log.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 y (/.f64 (sqrt.f64 z) x)) #s(literal 1/2 binary64))) #s(literal 1 binary64)))
(fma.f64 #s(literal 1/2 binary64) (*.f64 y (/.f64 (sqrt.f64 z) x)) #s(literal 1/2 binary64))
(fma.f64 (*.f64 y (/.f64 (sqrt.f64 z) x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
(fma.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 y (/.f64 (sqrt.f64 z) x))) #s(literal 1/2 binary64))
(fma.f64 (cbrt.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 z (pow.f64 (/.f64 y x) #s(literal 2 binary64))))) (cbrt.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 y (/.f64 (sqrt.f64 z) x)))) #s(literal 1/2 binary64))
(fma.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 y (/.f64 (sqrt.f64 z) x)))) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 y (/.f64 (sqrt.f64 z) x)))) #s(literal 1/2 binary64))
(fma.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 y x)) (sqrt.f64 z) #s(literal 1/2 binary64))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 y (sqrt.f64 z) x))) #s(literal 1 binary64))
(-.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 x (*.f64 y (sqrt.f64 z)))) (/.f64 (*.f64 z (pow.f64 y #s(literal 2 binary64))) (-.f64 x (*.f64 y (sqrt.f64 z)))))
(*.f64 (fma.f64 y (sqrt.f64 z) x) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (fma.f64 y (sqrt.f64 z) x))
(*.f64 (cbrt.f64 (fma.f64 y (sqrt.f64 z) x)) (cbrt.f64 (pow.f64 (fma.f64 y (sqrt.f64 z) x) #s(literal 2 binary64))))
(*.f64 (cbrt.f64 (pow.f64 (fma.f64 y (sqrt.f64 z) x) #s(literal 2 binary64))) (cbrt.f64 (fma.f64 y (sqrt.f64 z) x)))
(*.f64 (sqrt.f64 (fma.f64 y (sqrt.f64 z) x)) (sqrt.f64 (fma.f64 y (sqrt.f64 z) x)))
(*.f64 (+.f64 (pow.f64 (*.f64 y (sqrt.f64 z)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x x (*.f64 (*.f64 y (sqrt.f64 z)) (-.f64 (*.f64 y (sqrt.f64 z)) x)))))
(*.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 z (pow.f64 y #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 x (*.f64 y (sqrt.f64 z)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x (*.f64 y (sqrt.f64 z))) (-.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 z (pow.f64 y #s(literal 2 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x x (*.f64 (*.f64 y (sqrt.f64 z)) (-.f64 (*.f64 y (sqrt.f64 z)) x))) (+.f64 (pow.f64 (*.f64 y (sqrt.f64 z)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))))
(/.f64 (+.f64 (pow.f64 (*.f64 y (sqrt.f64 z)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 x x (*.f64 (*.f64 y (sqrt.f64 z)) (-.f64 (*.f64 y (sqrt.f64 z)) x))))
(/.f64 (+.f64 (pow.f64 (*.f64 y (sqrt.f64 z)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (+.f64 (*.f64 z (pow.f64 y #s(literal 2 binary64))) (-.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 (*.f64 y (sqrt.f64 z)) x))))
(/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 z (pow.f64 y #s(literal 2 binary64)))) (-.f64 x (*.f64 y (sqrt.f64 z))))
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 z (pow.f64 y #s(literal 2 binary64))))) (neg.f64 (-.f64 x (*.f64 y (sqrt.f64 z)))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 y (sqrt.f64 z)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (fma.f64 x x (*.f64 (*.f64 y (sqrt.f64 z)) (-.f64 (*.f64 y (sqrt.f64 z)) x)))))
(/.f64 (-.f64 (*.f64 z (pow.f64 y #s(literal 2 binary64))) (pow.f64 x #s(literal 2 binary64))) (-.f64 (*.f64 y (sqrt.f64 z)) x))
(pow.f64 (fma.f64 y (sqrt.f64 z) x) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (fma.f64 y (sqrt.f64 z) x)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (fma.f64 y (sqrt.f64 z) x) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (fma.f64 y (sqrt.f64 z) x)) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (fma.f64 y (sqrt.f64 z) x) #s(literal 2 binary64)))
(log.f64 (exp.f64 (fma.f64 y (sqrt.f64 z) x)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 y (sqrt.f64 z) x))))
(cbrt.f64 (pow.f64 (fma.f64 y (sqrt.f64 z) x) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (fma.f64 y (sqrt.f64 z) x)))
(log1p.f64 (expm1.f64 (fma.f64 y (sqrt.f64 z) x)))
(exp.f64 (log.f64 (fma.f64 y (sqrt.f64 z) x)))
(exp.f64 (*.f64 (log.f64 (fma.f64 y (sqrt.f64 z) x)) #s(literal 1 binary64)))
(fma.f64 y (sqrt.f64 z) x)
(fma.f64 (pow.f64 z #s(literal 1/4 binary64)) (*.f64 y (pow.f64 z #s(literal 1/4 binary64))) x)
(fma.f64 (sqrt.f64 z) y x)
(fma.f64 #s(literal 1 binary64) (*.f64 y (sqrt.f64 z)) x)
(fma.f64 #s(literal 1 binary64) x (*.f64 y (sqrt.f64 z)))
(fma.f64 (cbrt.f64 (*.f64 z (pow.f64 y #s(literal 2 binary64)))) (cbrt.f64 (*.f64 y (sqrt.f64 z))) x)
(fma.f64 (cbrt.f64 (pow.f64 x #s(literal 2 binary64))) (cbrt.f64 x) (*.f64 y (sqrt.f64 z)))
(fma.f64 (sqrt.f64 (*.f64 y (sqrt.f64 z))) (sqrt.f64 (*.f64 y (sqrt.f64 z))) x)
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 y (sqrt.f64 z)))

simplify1.3s (6.2%)

Algorithm
egg-herbie
Rules
724×associate-*r*
603×fma-neg
577×associate-*l*
405×cube-prod
399×exp-prod
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
076429872
1173328192
2653928140
Stop Event
node limit
Counts
876 → 483
Calls
Call 1
Inputs
(*.f64 y (sqrt.f64 z))
(*.f64 y (sqrt.f64 z))
(*.f64 y (sqrt.f64 z))
(*.f64 y (sqrt.f64 z))
(*.f64 y (sqrt.f64 z))
(*.f64 y (sqrt.f64 z))
(*.f64 y (sqrt.f64 z))
(*.f64 y (sqrt.f64 z))
(*.f64 y (sqrt.f64 z))
(*.f64 y (sqrt.f64 z))
(*.f64 y (sqrt.f64 z))
(*.f64 y (sqrt.f64 z))
(*.f64 y (sqrt.f64 z))
(*.f64 y (sqrt.f64 z))
(*.f64 y (sqrt.f64 z))
(*.f64 y (sqrt.f64 z))
(*.f64 y (sqrt.f64 z))
(*.f64 y (sqrt.f64 z))
(*.f64 y (sqrt.f64 z))
(*.f64 y (sqrt.f64 z))
(*.f64 #s(literal -1 binary64) (*.f64 (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (sqrt.f64 z)))
(*.f64 #s(literal -1 binary64) (*.f64 (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (sqrt.f64 z)))
(*.f64 #s(literal -1 binary64) (*.f64 (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (sqrt.f64 z)))
(*.f64 #s(literal -1 binary64) (*.f64 (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (sqrt.f64 z)))
(sqrt.f64 z)
(sqrt.f64 z)
(sqrt.f64 z)
(sqrt.f64 z)
(sqrt.f64 z)
(sqrt.f64 z)
(sqrt.f64 z)
(sqrt.f64 z)
(*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 z) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 z) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 z) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 z) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))
(*.f64 #s(literal 1/2 binary64) (*.f64 y (sqrt.f64 z)))
(+.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 #s(literal 1/2 binary64) (*.f64 y (sqrt.f64 z))))
(+.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 #s(literal 1/2 binary64) (*.f64 y (sqrt.f64 z))))
(+.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 #s(literal 1/2 binary64) (*.f64 y (sqrt.f64 z))))
(*.f64 #s(literal 1/2 binary64) x)
(*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 y x) (sqrt.f64 z)))))
(*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 y x) (sqrt.f64 z)))))
(*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 y x) (sqrt.f64 z)))))
(*.f64 #s(literal 1/2 binary64) x)
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 y x) (sqrt.f64 z))) #s(literal 1/2 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 y x) (sqrt.f64 z))) #s(literal 1/2 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 y x) (sqrt.f64 z))) #s(literal 1/2 binary64))))
(*.f64 #s(literal 1/2 binary64) x)
(+.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 #s(literal 1/2 binary64) (*.f64 y (sqrt.f64 z))))
(+.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 #s(literal 1/2 binary64) (*.f64 y (sqrt.f64 z))))
(+.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 #s(literal 1/2 binary64) (*.f64 y (sqrt.f64 z))))
(*.f64 #s(literal 1/2 binary64) (*.f64 y (sqrt.f64 z)))
(*.f64 y (+.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 z)) (*.f64 #s(literal 1/2 binary64) (/.f64 x y))))
(*.f64 y (+.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 z)) (*.f64 #s(literal 1/2 binary64) (/.f64 x y))))
(*.f64 y (+.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 z)) (*.f64 #s(literal 1/2 binary64) (/.f64 x y))))
(*.f64 #s(literal 1/2 binary64) (*.f64 y (sqrt.f64 z)))
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 z)) (*.f64 #s(literal -1/2 binary64) (/.f64 x y)))))
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 z)) (*.f64 #s(literal -1/2 binary64) (/.f64 x y)))))
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 z)) (*.f64 #s(literal -1/2 binary64) (/.f64 x y)))))
(*.f64 #s(literal 1/2 binary64) (+.f64 x (*.f64 y (sqrt.f64 z))))
(*.f64 #s(literal 1/2 binary64) (+.f64 x (*.f64 y (sqrt.f64 z))))
(*.f64 #s(literal 1/2 binary64) (+.f64 x (*.f64 y (sqrt.f64 z))))
(*.f64 #s(literal 1/2 binary64) (+.f64 x (*.f64 y (sqrt.f64 z))))
(*.f64 #s(literal 1/2 binary64) (*.f64 y (sqrt.f64 z)))
(*.f64 z (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))) (*.f64 #s(literal 1/2 binary64) (/.f64 x z))))
(*.f64 z (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))) (*.f64 #s(literal 1/2 binary64) (/.f64 x z))))
(*.f64 z (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))) (*.f64 #s(literal 1/2 binary64) (/.f64 x z))))
(*.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (sqrt.f64 z)))
(*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x z)) (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))))))
(*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x z)) (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))))))
(*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x z)) (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))))))
(*.f64 y (sqrt.f64 z))
(+.f64 x (*.f64 y (sqrt.f64 z)))
(+.f64 x (*.f64 y (sqrt.f64 z)))
(+.f64 x (*.f64 y (sqrt.f64 z)))
x
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 y x) (sqrt.f64 z))))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 y x) (sqrt.f64 z))))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 y x) (sqrt.f64 z))))
x
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (*.f64 (/.f64 y x) (sqrt.f64 z))) #s(literal 1 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (*.f64 (/.f64 y x) (sqrt.f64 z))) #s(literal 1 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (*.f64 (/.f64 y x) (sqrt.f64 z))) #s(literal 1 binary64))))
x
(+.f64 x (*.f64 y (sqrt.f64 z)))
(+.f64 x (*.f64 y (sqrt.f64 z)))
(+.f64 x (*.f64 y (sqrt.f64 z)))
(*.f64 y (sqrt.f64 z))
(*.f64 y (+.f64 (sqrt.f64 z) (/.f64 x y)))
(*.f64 y (+.f64 (sqrt.f64 z) (/.f64 x y)))
(*.f64 y (+.f64 (sqrt.f64 z) (/.f64 x y)))
(*.f64 y (sqrt.f64 z))
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 z)) (*.f64 #s(literal -1 binary64) (/.f64 x y)))))
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 z)) (*.f64 #s(literal -1 binary64) (/.f64 x y)))))
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 z)) (*.f64 #s(literal -1 binary64) (/.f64 x y)))))
(+.f64 x (*.f64 y (sqrt.f64 z)))
(+.f64 x (*.f64 y (sqrt.f64 z)))
(+.f64 x (*.f64 y (sqrt.f64 z)))
(+.f64 x (*.f64 y (sqrt.f64 z)))
(*.f64 y (sqrt.f64 z))
(*.f64 z (+.f64 (*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) (/.f64 x z)))
(*.f64 z (+.f64 (*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) (/.f64 x z)))
(*.f64 z (+.f64 (*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) (/.f64 x z)))
(*.f64 #s(literal -1 binary64) (*.f64 (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (sqrt.f64 z)))
(*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x z)) (*.f64 (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) z))))))
(*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x z)) (*.f64 (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) z))))))
(*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x z)) (*.f64 (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) z))))))
(*.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) x) (sqrt.f64 z)))
(*.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) x) (sqrt.f64 z)))
(*.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) x) (sqrt.f64 z)))
(*.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) x) (sqrt.f64 z)))
(*.f64 #s(literal -1 binary64) (*.f64 (/.f64 (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) x) (sqrt.f64 z)))
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(log1p.f64 (expm1.f64 (*.f64 x (fma.f64 #s(literal 1/2 binary64) (*.f64 y (/.f64 (sqrt.f64 z) x)) #s(literal 1/2 binary64)))))
(exp.f64 (log.f64 (*.f64 x (fma.f64 #s(literal 1/2 binary64) (*.f64 y (/.f64 (sqrt.f64 z) x)) #s(literal 1/2 binary64)))))
(exp.f64 (*.f64 (log.f64 (*.f64 x (fma.f64 #s(literal 1/2 binary64) (*.f64 y (/.f64 (sqrt.f64 z) x)) #s(literal 1/2 binary64)))) #s(literal 1 binary64)))
(fma.f64 #s(literal 1/2 binary64) x (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 y (/.f64 (sqrt.f64 z) x)) x)))
(fma.f64 x #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 y (/.f64 (sqrt.f64 z) x)) x)))
(fma.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x) (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 y (/.f64 (sqrt.f64 z) x)) x)))
(fma.f64 (cbrt.f64 (*.f64 #s(literal 1/4 binary64) (pow.f64 x #s(literal 2 binary64)))) (cbrt.f64 (*.f64 #s(literal 1/2 binary64) x)) (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 y (/.f64 (sqrt.f64 z) x)) x)))
(fma.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) x)) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) x)) (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 y (/.f64 (sqrt.f64 z) x)) x)))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 y (/.f64 (sqrt.f64 z) x)) #s(literal 1/2 binary64)))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 y (/.f64 (sqrt.f64 z) x))))) (/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 z (pow.f64 (/.f64 y x) #s(literal 2 binary64)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 y (/.f64 (sqrt.f64 z) x))))))
(*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 y (/.f64 (sqrt.f64 z) x)) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (*.f64 y (/.f64 (sqrt.f64 z) x)) #s(literal 1/2 binary64)))
(*.f64 (cbrt.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 y (/.f64 (sqrt.f64 z) x)) #s(literal 1/2 binary64))) (pow.f64 (cbrt.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 y (/.f64 (sqrt.f64 z) x)) #s(literal 1/2 binary64))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 y (/.f64 (sqrt.f64 z) x)) #s(literal 1/2 binary64))) #s(literal 2 binary64)) (cbrt.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 y (/.f64 (sqrt.f64 z) x)) #s(literal 1/2 binary64))))
(*.f64 (sqrt.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 y (/.f64 (sqrt.f64 z) x)) #s(literal 1/2 binary64))) (sqrt.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 y (/.f64 (sqrt.f64 z) x)) #s(literal 1/2 binary64))))
(*.f64 (+.f64 (*.f64 (pow.f64 (*.f64 y (/.f64 (sqrt.f64 z) x)) #s(literal 3 binary64)) #s(literal 1/8 binary64)) #s(literal 1/8 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (+.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/4 binary64) (*.f64 z (pow.f64 (/.f64 y x) #s(literal 2 binary64))))) (*.f64 #s(literal 1/4 binary64) (*.f64 y (/.f64 (sqrt.f64 z) x))))))
(*.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/4 binary64) (*.f64 z (pow.f64 (/.f64 y x) #s(literal 2 binary64))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 y (/.f64 (sqrt.f64 z) x))))))
(*.f64 (+.f64 (*.f64 y (/.f64 (sqrt.f64 z) x)) #s(literal 1 binary64)) #s(literal 1/2 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (+.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/4 binary64) (*.f64 z (pow.f64 (/.f64 y x) #s(literal 2 binary64))))) (*.f64 #s(literal 1/4 binary64) (*.f64 y (/.f64 (sqrt.f64 z) x)))) (+.f64 (*.f64 (pow.f64 (*.f64 y (/.f64 (sqrt.f64 z) x)) #s(literal 3 binary64)) #s(literal 1/8 binary64)) #s(literal 1/8 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 y (/.f64 (sqrt.f64 z) x)))) (-.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/4 binary64) (*.f64 z (pow.f64 (/.f64 y x) #s(literal 2 binary64)))))))
(/.f64 (+.f64 (*.f64 (pow.f64 (*.f64 y (/.f64 (sqrt.f64 z) x)) #s(literal 3 binary64)) #s(literal 1/8 binary64)) #s(literal 1/8 binary64)) (-.f64 (+.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/4 binary64) (*.f64 z (pow.f64 (/.f64 y x) #s(literal 2 binary64))))) (*.f64 #s(literal 1/4 binary64) (*.f64 y (/.f64 (sqrt.f64 z) x)))))
(/.f64 (+.f64 (*.f64 (pow.f64 (*.f64 y (/.f64 (sqrt.f64 z) x)) #s(literal 3 binary64)) #s(literal 1/8 binary64)) #s(literal 1/8 binary64)) (+.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 z (pow.f64 (/.f64 y x) #s(literal 2 binary64)))) (-.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/4 binary64) (*.f64 y (/.f64 (sqrt.f64 z) x))))))
(/.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/4 binary64) (*.f64 z (pow.f64 (/.f64 y x) #s(literal 2 binary64))))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 y (/.f64 (sqrt.f64 z) x)))))
(/.f64 (neg.f64 (+.f64 (*.f64 (pow.f64 (*.f64 y (/.f64 (sqrt.f64 z) x)) #s(literal 3 binary64)) #s(literal 1/8 binary64)) #s(literal 1/8 binary64))) (neg.f64 (-.f64 (+.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/4 binary64) (*.f64 z (pow.f64 (/.f64 y x) #s(literal 2 binary64))))) (*.f64 #s(literal 1/4 binary64) (*.f64 y (/.f64 (sqrt.f64 z) x))))))
(/.f64 (neg.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/4 binary64) (*.f64 z (pow.f64 (/.f64 y x) #s(literal 2 binary64)))))) (neg.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 y (/.f64 (sqrt.f64 z) x))))))
(/.f64 (-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 z (pow.f64 (/.f64 y x) #s(literal 2 binary64)))) #s(literal 1/4 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 y (/.f64 (sqrt.f64 z) x))) #s(literal 1/2 binary64)))
(pow.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 y (/.f64 (sqrt.f64 z) x)) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 y (/.f64 (sqrt.f64 z) x)) #s(literal 1/2 binary64))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 y (/.f64 (sqrt.f64 z) x)) #s(literal 1/2 binary64)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 y (/.f64 (sqrt.f64 z) x)) #s(literal 1/2 binary64))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 y (/.f64 (sqrt.f64 z) x)) #s(literal 1/2 binary64)) #s(literal 2 binary64)))
(log.f64 (exp.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 y (/.f64 (sqrt.f64 z) x)) #s(literal 1/2 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 y (/.f64 (sqrt.f64 z) x)) #s(literal 1/2 binary64)))))
(cbrt.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 y (/.f64 (sqrt.f64 z) x)) #s(literal 1/2 binary64)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 y (/.f64 (sqrt.f64 z) x)) #s(literal 1/2 binary64))))
(log1p.f64 (expm1.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 y (/.f64 (sqrt.f64 z) x)) #s(literal 1/2 binary64))))
(exp.f64 (log.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 y (/.f64 (sqrt.f64 z) x)) #s(literal 1/2 binary64))))
(exp.f64 (*.f64 (log.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 y (/.f64 (sqrt.f64 z) x)) #s(literal 1/2 binary64))) #s(literal 1 binary64)))
(fma.f64 #s(literal 1/2 binary64) (*.f64 y (/.f64 (sqrt.f64 z) x)) #s(literal 1/2 binary64))
(fma.f64 (*.f64 y (/.f64 (sqrt.f64 z) x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
(fma.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 y (/.f64 (sqrt.f64 z) x))) #s(literal 1/2 binary64))
(fma.f64 (cbrt.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 z (pow.f64 (/.f64 y x) #s(literal 2 binary64))))) (cbrt.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 y (/.f64 (sqrt.f64 z) x)))) #s(literal 1/2 binary64))
(fma.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 y (/.f64 (sqrt.f64 z) x)))) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 y (/.f64 (sqrt.f64 z) x)))) #s(literal 1/2 binary64))
(fma.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 y x)) (sqrt.f64 z) #s(literal 1/2 binary64))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 y (sqrt.f64 z) x))) #s(literal 1 binary64))
(-.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 x (*.f64 y (sqrt.f64 z)))) (/.f64 (*.f64 z (pow.f64 y #s(literal 2 binary64))) (-.f64 x (*.f64 y (sqrt.f64 z)))))
(*.f64 (fma.f64 y (sqrt.f64 z) x) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (fma.f64 y (sqrt.f64 z) x))
(*.f64 (cbrt.f64 (fma.f64 y (sqrt.f64 z) x)) (cbrt.f64 (pow.f64 (fma.f64 y (sqrt.f64 z) x) #s(literal 2 binary64))))
(*.f64 (cbrt.f64 (pow.f64 (fma.f64 y (sqrt.f64 z) x) #s(literal 2 binary64))) (cbrt.f64 (fma.f64 y (sqrt.f64 z) x)))
(*.f64 (sqrt.f64 (fma.f64 y (sqrt.f64 z) x)) (sqrt.f64 (fma.f64 y (sqrt.f64 z) x)))
(*.f64 (+.f64 (pow.f64 (*.f64 y (sqrt.f64 z)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x x (*.f64 (*.f64 y (sqrt.f64 z)) (-.f64 (*.f64 y (sqrt.f64 z)) x)))))
(*.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 z (pow.f64 y #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 x (*.f64 y (sqrt.f64 z)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x (*.f64 y (sqrt.f64 z))) (-.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 z (pow.f64 y #s(literal 2 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x x (*.f64 (*.f64 y (sqrt.f64 z)) (-.f64 (*.f64 y (sqrt.f64 z)) x))) (+.f64 (pow.f64 (*.f64 y (sqrt.f64 z)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))))
(/.f64 (+.f64 (pow.f64 (*.f64 y (sqrt.f64 z)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 x x (*.f64 (*.f64 y (sqrt.f64 z)) (-.f64 (*.f64 y (sqrt.f64 z)) x))))
(/.f64 (+.f64 (pow.f64 (*.f64 y (sqrt.f64 z)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (+.f64 (*.f64 z (pow.f64 y #s(literal 2 binary64))) (-.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 (*.f64 y (sqrt.f64 z)) x))))
(/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 z (pow.f64 y #s(literal 2 binary64)))) (-.f64 x (*.f64 y (sqrt.f64 z))))
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 z (pow.f64 y #s(literal 2 binary64))))) (neg.f64 (-.f64 x (*.f64 y (sqrt.f64 z)))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 y (sqrt.f64 z)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (fma.f64 x x (*.f64 (*.f64 y (sqrt.f64 z)) (-.f64 (*.f64 y (sqrt.f64 z)) x)))))
(/.f64 (-.f64 (*.f64 z (pow.f64 y #s(literal 2 binary64))) (pow.f64 x #s(literal 2 binary64))) (-.f64 (*.f64 y (sqrt.f64 z)) x))
(pow.f64 (fma.f64 y (sqrt.f64 z) x) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (fma.f64 y (sqrt.f64 z) x)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (fma.f64 y (sqrt.f64 z) x) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (fma.f64 y (sqrt.f64 z) x)) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (fma.f64 y (sqrt.f64 z) x) #s(literal 2 binary64)))
(log.f64 (exp.f64 (fma.f64 y (sqrt.f64 z) x)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 y (sqrt.f64 z) x))))
(cbrt.f64 (pow.f64 (fma.f64 y (sqrt.f64 z) x) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (fma.f64 y (sqrt.f64 z) x)))
(log1p.f64 (expm1.f64 (fma.f64 y (sqrt.f64 z) x)))
(exp.f64 (log.f64 (fma.f64 y (sqrt.f64 z) x)))
(exp.f64 (*.f64 (log.f64 (fma.f64 y (sqrt.f64 z) x)) #s(literal 1 binary64)))
(fma.f64 y (sqrt.f64 z) x)
(fma.f64 (pow.f64 z #s(literal 1/4 binary64)) (*.f64 y (pow.f64 z #s(literal 1/4 binary64))) x)
(fma.f64 (sqrt.f64 z) y x)
(fma.f64 #s(literal 1 binary64) (*.f64 y (sqrt.f64 z)) x)
(fma.f64 #s(literal 1 binary64) x (*.f64 y (sqrt.f64 z)))
(fma.f64 (cbrt.f64 (*.f64 z (pow.f64 y #s(literal 2 binary64)))) (cbrt.f64 (*.f64 y (sqrt.f64 z))) x)
(fma.f64 (cbrt.f64 (pow.f64 x #s(literal 2 binary64))) (cbrt.f64 x) (*.f64 y (sqrt.f64 z)))
(fma.f64 (sqrt.f64 (*.f64 y (sqrt.f64 z))) (sqrt.f64 (*.f64 y (sqrt.f64 z))) x)
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 y (sqrt.f64 z)))
Outputs
(*.f64 y (sqrt.f64 z))
(*.f64 y (sqrt.f64 z))
(*.f64 y (sqrt.f64 z))
(*.f64 y (sqrt.f64 z))
(*.f64 y (sqrt.f64 z))
(*.f64 y (sqrt.f64 z))
(*.f64 y (sqrt.f64 z))
(*.f64 y (sqrt.f64 z))
(*.f64 y (sqrt.f64 z))
(*.f64 y (sqrt.f64 z))
(*.f64 y (sqrt.f64 z))
(*.f64 y (sqrt.f64 z))
(*.f64 y (sqrt.f64 z))
(*.f64 y (sqrt.f64 z))
(*.f64 y (sqrt.f64 z))
(*.f64 y (sqrt.f64 z))
(*.f64 y (sqrt.f64 z))
(*.f64 y (sqrt.f64 z))
(*.f64 y (sqrt.f64 z))
(*.f64 y (sqrt.f64 z))
(*.f64 #s(literal -1 binary64) (*.f64 (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (sqrt.f64 z)))
(*.f64 y (sqrt.f64 z))
(*.f64 #s(literal -1 binary64) (*.f64 (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (sqrt.f64 z)))
(*.f64 y (sqrt.f64 z))
(*.f64 #s(literal -1 binary64) (*.f64 (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (sqrt.f64 z)))
(*.f64 y (sqrt.f64 z))
(*.f64 #s(literal -1 binary64) (*.f64 (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (sqrt.f64 z)))
(*.f64 y (sqrt.f64 z))
(sqrt.f64 z)
(sqrt.f64 z)
(sqrt.f64 z)
(sqrt.f64 z)
(sqrt.f64 z)
(sqrt.f64 z)
(sqrt.f64 z)
(sqrt.f64 z)
(*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 z) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))
(sqrt.f64 z)
(*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 z) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))
(sqrt.f64 z)
(*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 z) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))
(sqrt.f64 z)
(*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 z) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))
(sqrt.f64 z)
(*.f64 #s(literal 1/2 binary64) (*.f64 y (sqrt.f64 z)))
(*.f64 y (*.f64 (sqrt.f64 z) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 z) (*.f64 y #s(literal 1/2 binary64)))
(+.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 #s(literal 1/2 binary64) (*.f64 y (sqrt.f64 z))))
(*.f64 #s(literal 1/2 binary64) (fma.f64 y (sqrt.f64 z) x))
(+.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 #s(literal 1/2 binary64) (*.f64 y (sqrt.f64 z))))
(*.f64 #s(literal 1/2 binary64) (fma.f64 y (sqrt.f64 z) x))
(+.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 #s(literal 1/2 binary64) (*.f64 y (sqrt.f64 z))))
(*.f64 #s(literal 1/2 binary64) (fma.f64 y (sqrt.f64 z) x))
(*.f64 #s(literal 1/2 binary64) x)
(*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 y x) (sqrt.f64 z)))))
(*.f64 x (fma.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 z) (/.f64 y x)) #s(literal 1/2 binary64)))
(*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 y x) (sqrt.f64 z)))))
(*.f64 x (fma.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 z) (/.f64 y x)) #s(literal 1/2 binary64)))
(*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 y x) (sqrt.f64 z)))))
(*.f64 x (fma.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 z) (/.f64 y x)) #s(literal 1/2 binary64)))
(*.f64 #s(literal 1/2 binary64) x)
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 y x) (sqrt.f64 z))) #s(literal 1/2 binary64))))
(*.f64 (neg.f64 x) (fma.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 z) (/.f64 y x)) #s(literal -1/2 binary64)))
(*.f64 (*.f64 (fma.f64 (sqrt.f64 z) (/.f64 y x) #s(literal 1 binary64)) #s(literal -1/2 binary64)) (neg.f64 x))
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 y x) (sqrt.f64 z))) #s(literal 1/2 binary64))))
(*.f64 (neg.f64 x) (fma.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 z) (/.f64 y x)) #s(literal -1/2 binary64)))
(*.f64 (*.f64 (fma.f64 (sqrt.f64 z) (/.f64 y x) #s(literal 1 binary64)) #s(literal -1/2 binary64)) (neg.f64 x))
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 y x) (sqrt.f64 z))) #s(literal 1/2 binary64))))
(*.f64 (neg.f64 x) (fma.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 z) (/.f64 y x)) #s(literal -1/2 binary64)))
(*.f64 (*.f64 (fma.f64 (sqrt.f64 z) (/.f64 y x) #s(literal 1 binary64)) #s(literal -1/2 binary64)) (neg.f64 x))
(*.f64 #s(literal 1/2 binary64) x)
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(/.f64 (neg.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 #s(literal 1/4 binary64) z) (pow.f64 (/.f64 y x) #s(literal 2 binary64))))) (+.f64 #s(literal -1/2 binary64) (neg.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 z) (/.f64 y x))))))
(/.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 z (pow.f64 (/.f64 y x) #s(literal 2 binary64))) #s(literal -1/4 binary64)) (fma.f64 (*.f64 y (/.f64 #s(literal 1/2 binary64) x)) (sqrt.f64 z) #s(literal -1/2 binary64)))
(/.f64 (fma.f64 z (*.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal 1/4 binary64)) #s(literal -1/4 binary64)) (fma.f64 (sqrt.f64 z) (*.f64 y (/.f64 #s(literal 1/2 binary64) x)) #s(literal -1/2 binary64)))
(/.f64 (-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 z (pow.f64 (/.f64 y x) #s(literal 2 binary64)))) #s(literal 1/4 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 y (/.f64 (sqrt.f64 z) x))) #s(literal 1/2 binary64)))
(/.f64 (neg.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 #s(literal 1/4 binary64) z) (pow.f64 (/.f64 y x) #s(literal 2 binary64))))) (+.f64 #s(literal -1/2 binary64) (neg.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 z) (/.f64 y x))))))
(/.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 z (pow.f64 (/.f64 y x) #s(literal 2 binary64))) #s(literal -1/4 binary64)) (fma.f64 (*.f64 y (/.f64 #s(literal 1/2 binary64) x)) (sqrt.f64 z) #s(literal -1/2 binary64)))
(/.f64 (fma.f64 z (*.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal 1/4 binary64)) #s(literal -1/4 binary64)) (fma.f64 (sqrt.f64 z) (*.f64 y (/.f64 #s(literal 1/2 binary64) x)) #s(literal -1/2 binary64)))
(pow.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 y (/.f64 (sqrt.f64 z) x)) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(fma.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 z) (/.f64 y x)) #s(literal 1/2 binary64))
(pow.f64 (cbrt.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 y (/.f64 (sqrt.f64 z) x)) #s(literal 1/2 binary64))) #s(literal 3 binary64))
(fma.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 z) (/.f64 y x)) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 y (/.f64 (sqrt.f64 z) x)) #s(literal 1/2 binary64)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(fma.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 z) (/.f64 y x)) #s(literal 1/2 binary64))
(pow.f64 (sqrt.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 y (/.f64 (sqrt.f64 z) x)) #s(literal 1/2 binary64))) #s(literal 2 binary64))
(fma.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 z) (/.f64 y x)) #s(literal 1/2 binary64))
(sqrt.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 y (/.f64 (sqrt.f64 z) x)) #s(literal 1/2 binary64)) #s(literal 2 binary64)))
(sqrt.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 z) (/.f64 y x)) #s(literal 1/2 binary64)) #s(literal 2 binary64)))
(fabs.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 z) (/.f64 y x)) #s(literal 1/2 binary64)))
(log.f64 (exp.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 y (/.f64 (sqrt.f64 z) x)) #s(literal 1/2 binary64))))
(fma.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 z) (/.f64 y x)) #s(literal 1/2 binary64))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 y (/.f64 (sqrt.f64 z) x)) #s(literal 1/2 binary64)))))
(fma.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 z) (/.f64 y x)) #s(literal 1/2 binary64))
(cbrt.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 y (/.f64 (sqrt.f64 z) x)) #s(literal 1/2 binary64)) #s(literal 3 binary64)))
(fma.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 z) (/.f64 y x)) #s(literal 1/2 binary64))
(expm1.f64 (log1p.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 y (/.f64 (sqrt.f64 z) x)) #s(literal 1/2 binary64))))
(expm1.f64 (log1p.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 z) (/.f64 y x)) #s(literal 1/2 binary64))))
(log1p.f64 (expm1.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 y (/.f64 (sqrt.f64 z) x)) #s(literal 1/2 binary64))))
(fma.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 z) (/.f64 y x)) #s(literal 1/2 binary64))
(exp.f64 (log.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 y (/.f64 (sqrt.f64 z) x)) #s(literal 1/2 binary64))))
(fma.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 z) (/.f64 y x)) #s(literal 1/2 binary64))
(exp.f64 (*.f64 (log.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 y (/.f64 (sqrt.f64 z) x)) #s(literal 1/2 binary64))) #s(literal 1 binary64)))
(fma.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 z) (/.f64 y x)) #s(literal 1/2 binary64))
(fma.f64 #s(literal 1/2 binary64) (*.f64 y (/.f64 (sqrt.f64 z) x)) #s(literal 1/2 binary64))
(fma.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 z) (/.f64 y x)) #s(literal 1/2 binary64))
(fma.f64 (*.f64 y (/.f64 (sqrt.f64 z) x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
(fma.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 z) (/.f64 y x)) #s(literal 1/2 binary64))
(fma.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 y (/.f64 (sqrt.f64 z) x))) #s(literal 1/2 binary64))
(fma.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 z) (/.f64 y x)) #s(literal 1/2 binary64))
(fma.f64 (cbrt.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 z (pow.f64 (/.f64 y x) #s(literal 2 binary64))))) (cbrt.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 y (/.f64 (sqrt.f64 z) x)))) #s(literal 1/2 binary64))
(fma.f64 (cbrt.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) z) (pow.f64 (/.f64 y x) #s(literal 2 binary64)))) (cbrt.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 z) (/.f64 y x)))) #s(literal 1/2 binary64))
(fma.f64 (cbrt.f64 (*.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) (*.f64 z #s(literal 1/4 binary64)))) (cbrt.f64 (*.f64 y (*.f64 (sqrt.f64 z) (/.f64 #s(literal 1/2 binary64) x)))) #s(literal 1/2 binary64))
(fma.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 y (/.f64 (sqrt.f64 z) x)))) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 y (/.f64 (sqrt.f64 z) x)))) #s(literal 1/2 binary64))
(fma.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 z) (/.f64 y x)) #s(literal 1/2 binary64))
(fma.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 y x)) (sqrt.f64 z) #s(literal 1/2 binary64))
(fma.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 z) (/.f64 y x)) #s(literal 1/2 binary64))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 y (sqrt.f64 z) x))) #s(literal 1 binary64))
(expm1.f64 (log1p.f64 (fma.f64 y (sqrt.f64 z) x)))
(-.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 x (*.f64 y (sqrt.f64 z)))) (/.f64 (*.f64 z (pow.f64 y #s(literal 2 binary64))) (-.f64 x (*.f64 y (sqrt.f64 z)))))
(/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 z (pow.f64 y #s(literal 2 binary64)))) (-.f64 x (*.f64 y (sqrt.f64 z))))
(*.f64 (fma.f64 y (sqrt.f64 z) x) #s(literal 1 binary64))
(fma.f64 y (sqrt.f64 z) x)
(*.f64 #s(literal 1 binary64) (fma.f64 y (sqrt.f64 z) x))
(fma.f64 y (sqrt.f64 z) x)
(*.f64 (cbrt.f64 (fma.f64 y (sqrt.f64 z) x)) (cbrt.f64 (pow.f64 (fma.f64 y (sqrt.f64 z) x) #s(literal 2 binary64))))
(*.f64 (cbrt.f64 (pow.f64 (fma.f64 y (sqrt.f64 z) x) #s(literal 2 binary64))) (cbrt.f64 (fma.f64 y (sqrt.f64 z) x)))
(*.f64 (cbrt.f64 (fma.f64 y (sqrt.f64 z) x)) (cbrt.f64 (pow.f64 (fma.f64 y (sqrt.f64 z) x) #s(literal 2 binary64))))
(*.f64 (sqrt.f64 (fma.f64 y (sqrt.f64 z) x)) (sqrt.f64 (fma.f64 y (sqrt.f64 z) x)))
(fma.f64 y (sqrt.f64 z) x)
(*.f64 (+.f64 (pow.f64 (*.f64 y (sqrt.f64 z)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x x (*.f64 (*.f64 y (sqrt.f64 z)) (-.f64 (*.f64 y (sqrt.f64 z)) x)))))
(/.f64 (*.f64 (+.f64 (pow.f64 (*.f64 y (sqrt.f64 z)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) #s(literal 1 binary64)) (fma.f64 x x (*.f64 y (*.f64 (sqrt.f64 z) (fma.f64 y (sqrt.f64 z) (neg.f64 x))))))
(/.f64 (+.f64 (pow.f64 (*.f64 y (sqrt.f64 z)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 x x (*.f64 (*.f64 y (sqrt.f64 z)) (fma.f64 y (sqrt.f64 z) (neg.f64 x)))))
(*.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 z (pow.f64 y #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 x (*.f64 y (sqrt.f64 z)))))
(/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 z (pow.f64 y #s(literal 2 binary64)))) (-.f64 x (*.f64 y (sqrt.f64 z))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x (*.f64 y (sqrt.f64 z))) (-.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 z (pow.f64 y #s(literal 2 binary64))))))
(/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 z (pow.f64 y #s(literal 2 binary64)))) (-.f64 x (*.f64 y (sqrt.f64 z))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x x (*.f64 (*.f64 y (sqrt.f64 z)) (-.f64 (*.f64 y (sqrt.f64 z)) x))) (+.f64 (pow.f64 (*.f64 y (sqrt.f64 z)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))))
(/.f64 (*.f64 (+.f64 (pow.f64 (*.f64 y (sqrt.f64 z)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) #s(literal 1 binary64)) (fma.f64 x x (*.f64 y (*.f64 (sqrt.f64 z) (fma.f64 y (sqrt.f64 z) (neg.f64 x))))))
(/.f64 (+.f64 (pow.f64 (*.f64 y (sqrt.f64 z)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 x x (*.f64 (*.f64 y (sqrt.f64 z)) (fma.f64 y (sqrt.f64 z) (neg.f64 x)))))
(/.f64 (+.f64 (pow.f64 (*.f64 y (sqrt.f64 z)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 x x (*.f64 (*.f64 y (sqrt.f64 z)) (-.f64 (*.f64 y (sqrt.f64 z)) x))))
(/.f64 (*.f64 (+.f64 (pow.f64 (*.f64 y (sqrt.f64 z)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) #s(literal 1 binary64)) (fma.f64 x x (*.f64 y (*.f64 (sqrt.f64 z) (fma.f64 y (sqrt.f64 z) (neg.f64 x))))))
(/.f64 (+.f64 (pow.f64 (*.f64 y (sqrt.f64 z)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 x x (*.f64 (*.f64 y (sqrt.f64 z)) (fma.f64 y (sqrt.f64 z) (neg.f64 x)))))
(/.f64 (+.f64 (pow.f64 (*.f64 y (sqrt.f64 z)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (+.f64 (*.f64 z (pow.f64 y #s(literal 2 binary64))) (-.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 (*.f64 y (sqrt.f64 z)) x))))
(/.f64 (+.f64 (pow.f64 (*.f64 y (sqrt.f64 z)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 z (pow.f64 y #s(literal 2 binary64)) (-.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 y (*.f64 (sqrt.f64 z) x)))))
(/.f64 (+.f64 (pow.f64 (*.f64 y (sqrt.f64 z)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 z (pow.f64 y #s(literal 2 binary64)) (*.f64 x (-.f64 x (*.f64 y (sqrt.f64 z))))))
(/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 z (pow.f64 y #s(literal 2 binary64)))) (-.f64 x (*.f64 y (sqrt.f64 z))))
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 z (pow.f64 y #s(literal 2 binary64))))) (neg.f64 (-.f64 x (*.f64 y (sqrt.f64 z)))))
(neg.f64 (/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 z (pow.f64 y #s(literal 2 binary64))))) (-.f64 x (*.f64 y (sqrt.f64 z)))))
(/.f64 (fma.f64 z (pow.f64 y #s(literal 2 binary64)) (neg.f64 (pow.f64 x #s(literal 2 binary64)))) (fma.f64 y (sqrt.f64 z) (neg.f64 x)))
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 y (sqrt.f64 z)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (fma.f64 x x (*.f64 (*.f64 y (sqrt.f64 z)) (-.f64 (*.f64 y (sqrt.f64 z)) x)))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 y (sqrt.f64 z)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (fma.f64 x x (*.f64 y (*.f64 (sqrt.f64 z) (fma.f64 y (sqrt.f64 z) (neg.f64 x)))))))
(*.f64 #s(literal 1 binary64) (/.f64 (+.f64 (pow.f64 (*.f64 y (sqrt.f64 z)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 x x (*.f64 (*.f64 y (sqrt.f64 z)) (fma.f64 y (sqrt.f64 z) (neg.f64 x))))))
(/.f64 (-.f64 (*.f64 z (pow.f64 y #s(literal 2 binary64))) (pow.f64 x #s(literal 2 binary64))) (-.f64 (*.f64 y (sqrt.f64 z)) x))
(neg.f64 (/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 z (pow.f64 y #s(literal 2 binary64))))) (-.f64 x (*.f64 y (sqrt.f64 z)))))
(/.f64 (fma.f64 z (pow.f64 y #s(literal 2 binary64)) (neg.f64 (pow.f64 x #s(literal 2 binary64)))) (fma.f64 y (sqrt.f64 z) (neg.f64 x)))
(pow.f64 (fma.f64 y (sqrt.f64 z) x) #s(literal 1 binary64))
(fma.f64 y (sqrt.f64 z) x)
(pow.f64 (cbrt.f64 (fma.f64 y (sqrt.f64 z) x)) #s(literal 3 binary64))
(fma.f64 y (sqrt.f64 z) x)
(pow.f64 (pow.f64 (fma.f64 y (sqrt.f64 z) x) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(fma.f64 y (sqrt.f64 z) x)
(pow.f64 (sqrt.f64 (fma.f64 y (sqrt.f64 z) x)) #s(literal 2 binary64))
(fma.f64 y (sqrt.f64 z) x)
(sqrt.f64 (pow.f64 (fma.f64 y (sqrt.f64 z) x) #s(literal 2 binary64)))
(fabs.f64 (fma.f64 y (sqrt.f64 z) x))
(log.f64 (exp.f64 (fma.f64 y (sqrt.f64 z) x)))
(fma.f64 y (sqrt.f64 z) x)
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 y (sqrt.f64 z) x))))
(fma.f64 y (sqrt.f64 z) x)
(cbrt.f64 (pow.f64 (fma.f64 y (sqrt.f64 z) x) #s(literal 3 binary64)))
(fma.f64 y (sqrt.f64 z) x)
(expm1.f64 (log1p.f64 (fma.f64 y (sqrt.f64 z) x)))
(log1p.f64 (expm1.f64 (fma.f64 y (sqrt.f64 z) x)))
(fma.f64 y (sqrt.f64 z) x)
(exp.f64 (log.f64 (fma.f64 y (sqrt.f64 z) x)))
(fma.f64 y (sqrt.f64 z) x)
(exp.f64 (*.f64 (log.f64 (fma.f64 y (sqrt.f64 z) x)) #s(literal 1 binary64)))
(fma.f64 y (sqrt.f64 z) x)
(fma.f64 y (sqrt.f64 z) x)
(fma.f64 (pow.f64 z #s(literal 1/4 binary64)) (*.f64 y (pow.f64 z #s(literal 1/4 binary64))) x)
(fma.f64 y (sqrt.f64 z) x)
(fma.f64 (sqrt.f64 z) y x)
(fma.f64 y (sqrt.f64 z) x)
(fma.f64 #s(literal 1 binary64) (*.f64 y (sqrt.f64 z)) x)
(fma.f64 y (sqrt.f64 z) x)
(fma.f64 #s(literal 1 binary64) x (*.f64 y (sqrt.f64 z)))
(fma.f64 y (sqrt.f64 z) x)
(fma.f64 (cbrt.f64 (*.f64 z (pow.f64 y #s(literal 2 binary64)))) (cbrt.f64 (*.f64 y (sqrt.f64 z))) x)
(fma.f64 (cbrt.f64 (pow.f64 x #s(literal 2 binary64))) (cbrt.f64 x) (*.f64 y (sqrt.f64 z)))
(fma.f64 (sqrt.f64 (*.f64 y (sqrt.f64 z))) (sqrt.f64 (*.f64 y (sqrt.f64 z))) x)
(fma.f64 y (sqrt.f64 z) x)
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 y (sqrt.f64 z)))
(fma.f64 y (sqrt.f64 z) x)

eval192.0ms (0.9%)

Compiler

Compiled 9023 to 2149 computations (76.2% saved)

prune936.0ms (4.6%)

Pruning

14 alts after pruning (10 fresh and 4 done)

PrunedKeptTotal
New5595564
Fresh358
Picked235
Done112
Total56514579
Accuracy
100.0%
Counts
579 → 14
Alt Table
Click to see full alt table
StatusAccuracyProgram
98.1%
(pow.f64 (cbrt.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 y (sqrt.f64 z) x))) #s(literal 3 binary64))
86.9%
(*.f64 (*.f64 y #s(literal 1/2 binary64)) (+.f64 (sqrt.f64 z) (/.f64 x y)))
49.6%
(*.f64 (sqrt.f64 z) (*.f64 y #s(literal 1/2 binary64)))
87.8%
(*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 y (*.f64 (sqrt.f64 z) (/.f64 #s(literal 1/2 binary64) x)))))
87.5%
(*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) y) (sqrt.f64 z)))))
87.8%
(*.f64 x (*.f64 (+.f64 (*.f64 y (/.f64 (sqrt.f64 z) x)) #s(literal 1 binary64)) #s(literal 1/2 binary64)))
87.6%
(*.f64 x (*.f64 y (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 z))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y)))))
37.4%
(*.f64 x (*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 y x) (sqrt.f64 z))))
99.6%
(*.f64 #s(literal 1/2 binary64) (+.f64 x (*.f64 y (pow.f64 (pow.f64 z #s(literal 1/4 binary64)) #s(literal 2 binary64)))))
99.8%
(*.f64 #s(literal 1/2 binary64) (+.f64 x (*.f64 y (sqrt.f64 z))))
79.5%
(*.f64 #s(literal 1/2 binary64) (+.f64 x (*.f64 y (cbrt.f64 (pow.f64 z #s(literal 3/2 binary64))))))
55.7%
(*.f64 #s(literal 1/2 binary64) (+.f64 x (sqrt.f64 (*.f64 z (pow.f64 y #s(literal 2 binary64))))))
80.5%
(*.f64 #s(literal 1/2 binary64) (*.f64 z (+.f64 (*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) (/.f64 x z))))
51.5%
(*.f64 #s(literal 1/2 binary64) x)
Compiler

Compiled 336 to 242 computations (28% saved)

simplify382.0ms (1.9%)

Algorithm
egg-herbie
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
cost-diff0
(/.f64 #s(literal 1 binary64) x)
cost-diff128
(*.f64 (/.f64 #s(literal 1 binary64) x) y)
cost-diff128
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) y) (sqrt.f64 z))
cost-diff128
(*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) y) (sqrt.f64 z)))
cost-diff0
(/.f64 #s(literal 1/2 binary64) x)
cost-diff0
(sqrt.f64 z)
cost-diff0
(*.f64 (sqrt.f64 z) (/.f64 #s(literal 1/2 binary64) x))
cost-diff0
(*.f64 y (*.f64 (sqrt.f64 z) (/.f64 #s(literal 1/2 binary64) x)))
cost-diff0
(/.f64 x y)
cost-diff0
(sqrt.f64 z)
cost-diff0
(+.f64 (sqrt.f64 z) (/.f64 x y))
cost-diff0
(*.f64 y #s(literal 1/2 binary64))
cost-diff0
(*.f64 y #s(literal 1/2 binary64))
cost-diff0
(sqrt.f64 z)
cost-diff0
(*.f64 (sqrt.f64 z) (*.f64 y #s(literal 1/2 binary64)))
cost-diff0
(fma.f64 y (sqrt.f64 z) x)
cost-diff0
(*.f64 #s(literal 1/2 binary64) (fma.f64 y (sqrt.f64 z) x))
cost-diff0
(cbrt.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 y (sqrt.f64 z) x)))
cost-diff12864
(pow.f64 (cbrt.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 y (sqrt.f64 z) x))) #s(literal 3 binary64))
Rules
1172×associate-/r/
1098×fma-define
911×cube-prod
835×associate-/l/
634×swap-sqr
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
035613
186593
2212593
3579593
4884593
51731593
63034593
74077593
84756593
95125593
105572593
116204593
Stop Event
node limit
Calls
Call 1
Inputs
(pow.f64 (cbrt.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 y (sqrt.f64 z) x))) #s(literal 3 binary64))
(cbrt.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 y (sqrt.f64 z) x)))
(*.f64 #s(literal 1/2 binary64) (fma.f64 y (sqrt.f64 z) x))
#s(literal 1/2 binary64)
(fma.f64 y (sqrt.f64 z) x)
y
(sqrt.f64 z)
z
x
#s(literal 3 binary64)
(*.f64 (sqrt.f64 z) (*.f64 y #s(literal 1/2 binary64)))
(sqrt.f64 z)
z
(*.f64 y #s(literal 1/2 binary64))
y
#s(literal 1/2 binary64)
(*.f64 (*.f64 y #s(literal 1/2 binary64)) (+.f64 (sqrt.f64 z) (/.f64 x y)))
(*.f64 y #s(literal 1/2 binary64))
y
#s(literal 1/2 binary64)
(+.f64 (sqrt.f64 z) (/.f64 x y))
(sqrt.f64 z)
z
(/.f64 x y)
x
(*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 y (*.f64 (sqrt.f64 z) (/.f64 #s(literal 1/2 binary64) x)))))
x
(+.f64 #s(literal 1/2 binary64) (*.f64 y (*.f64 (sqrt.f64 z) (/.f64 #s(literal 1/2 binary64) x))))
#s(literal 1/2 binary64)
(*.f64 y (*.f64 (sqrt.f64 z) (/.f64 #s(literal 1/2 binary64) x)))
y
(*.f64 (sqrt.f64 z) (/.f64 #s(literal 1/2 binary64) x))
(sqrt.f64 z)
z
(/.f64 #s(literal 1/2 binary64) x)
(*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) y) (sqrt.f64 z)))))
x
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) y) (sqrt.f64 z))))
#s(literal 1/2 binary64)
(*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) y) (sqrt.f64 z)))
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) y) (sqrt.f64 z))
(*.f64 (/.f64 #s(literal 1 binary64) x) y)
(/.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
y
(sqrt.f64 z)
z
Outputs
(pow.f64 (cbrt.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 y (sqrt.f64 z) x))) #s(literal 3 binary64))
(*.f64 #s(literal 1/2 binary64) (fma.f64 y (sqrt.f64 z) x))
(cbrt.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 y (sqrt.f64 z) x)))
(*.f64 #s(literal 1/2 binary64) (fma.f64 y (sqrt.f64 z) x))
#s(literal 1/2 binary64)
(fma.f64 y (sqrt.f64 z) x)
y
(sqrt.f64 z)
z
x
#s(literal 3 binary64)
(*.f64 (sqrt.f64 z) (*.f64 y #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 z) (*.f64 #s(literal 1/2 binary64) y))
(*.f64 #s(literal 1/2 binary64) (*.f64 y (sqrt.f64 z)))
(sqrt.f64 z)
z
(*.f64 y #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) y)
y
#s(literal 1/2 binary64)
(*.f64 (*.f64 y #s(literal 1/2 binary64)) (+.f64 (sqrt.f64 z) (/.f64 x y)))
(*.f64 #s(literal 1/2 binary64) (fma.f64 y (sqrt.f64 z) x))
(*.f64 y #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) y)
y
#s(literal 1/2 binary64)
(+.f64 (sqrt.f64 z) (/.f64 x y))
(sqrt.f64 z)
z
(/.f64 x y)
x
(*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 y (*.f64 (sqrt.f64 z) (/.f64 #s(literal 1/2 binary64) x)))))
(*.f64 #s(literal 1/2 binary64) (fma.f64 y (sqrt.f64 z) x))
x
(+.f64 #s(literal 1/2 binary64) (*.f64 y (*.f64 (sqrt.f64 z) (/.f64 #s(literal 1/2 binary64) x))))
(fma.f64 y (*.f64 (sqrt.f64 z) (/.f64 #s(literal 1/2 binary64) x)) #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) (fma.f64 (sqrt.f64 z) (/.f64 y x) #s(literal 1 binary64)))
(*.f64 #s(literal 1/2 binary64) (fma.f64 y (/.f64 (sqrt.f64 z) x) #s(literal 1 binary64)))
(fma.f64 (sqrt.f64 z) (/.f64 (*.f64 #s(literal 1/2 binary64) y) x) #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
(*.f64 y (*.f64 (sqrt.f64 z) (/.f64 #s(literal 1/2 binary64) x)))
(*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 z) (/.f64 y x)))
(*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 y (sqrt.f64 z)) x))
y
(*.f64 (sqrt.f64 z) (/.f64 #s(literal 1/2 binary64) x))
(*.f64 #s(literal 1/2 binary64) (/.f64 (sqrt.f64 z) x))
(sqrt.f64 z)
z
(/.f64 #s(literal 1/2 binary64) x)
(*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) y) (sqrt.f64 z)))))
(*.f64 #s(literal 1/2 binary64) (fma.f64 y (sqrt.f64 z) x))
x
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) y) (sqrt.f64 z))))
(+.f64 #s(literal 1/2 binary64) (*.f64 y (*.f64 (sqrt.f64 z) (/.f64 #s(literal 1/2 binary64) x))))
(fma.f64 y (*.f64 (sqrt.f64 z) (/.f64 #s(literal 1/2 binary64) x)) #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) (fma.f64 (sqrt.f64 z) (/.f64 y x) #s(literal 1 binary64)))
(*.f64 #s(literal 1/2 binary64) (fma.f64 y (/.f64 (sqrt.f64 z) x) #s(literal 1 binary64)))
(fma.f64 (sqrt.f64 z) (/.f64 (*.f64 #s(literal 1/2 binary64) y) x) #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
(*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) y) (sqrt.f64 z)))
(*.f64 y (*.f64 (sqrt.f64 z) (/.f64 #s(literal 1/2 binary64) x)))
(*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 z) (/.f64 y x)))
(*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 y (sqrt.f64 z)) x))
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) y) (sqrt.f64 z))
(*.f64 (sqrt.f64 z) (*.f64 y (/.f64 #s(literal 1 binary64) x)))
(*.f64 (sqrt.f64 z) (/.f64 y x))
(/.f64 (*.f64 y (sqrt.f64 z)) x)
(*.f64 (/.f64 #s(literal 1 binary64) x) y)
(*.f64 y (/.f64 #s(literal 1 binary64) x))
(/.f64 y x)
(/.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
y
(sqrt.f64 z)
z

localize636.0ms (3.1%)

Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) y) (sqrt.f64 z))))
accuracy99.7%
(*.f64 (/.f64 #s(literal 1 binary64) x) y)
accuracy95.1%
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) y) (sqrt.f64 z))
accuracy90.2%
(*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) y) (sqrt.f64 z)))))
accuracy100.0%
(+.f64 #s(literal 1/2 binary64) (*.f64 y (*.f64 (sqrt.f64 z) (/.f64 #s(literal 1/2 binary64) x))))
accuracy99.5%
(*.f64 (sqrt.f64 z) (/.f64 #s(literal 1/2 binary64) x))
accuracy94.9%
(*.f64 y (*.f64 (sqrt.f64 z) (/.f64 #s(literal 1/2 binary64) x)))
accuracy90.2%
(*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 y (*.f64 (sqrt.f64 z) (/.f64 #s(literal 1/2 binary64) x)))))
accuracy100.0%
(*.f64 y #s(literal 1/2 binary64))
accuracy100.0%
(sqrt.f64 z)
accuracy100.0%
(+.f64 (sqrt.f64 z) (/.f64 x y))
accuracy86.9%
(*.f64 (*.f64 y #s(literal 1/2 binary64)) (+.f64 (sqrt.f64 z) (/.f64 x y)))
accuracy100.0%
(*.f64 y #s(literal 1/2 binary64))
accuracy100.0%
(sqrt.f64 z)
accuracy99.6%
(*.f64 (sqrt.f64 z) (*.f64 y #s(literal 1/2 binary64)))
accuracy100.0%
(sqrt.f64 z)
accuracy99.8%
(fma.f64 y (sqrt.f64 z) x)
accuracy99.0%
(pow.f64 (cbrt.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 y (sqrt.f64 z) x))) #s(literal 3 binary64))
accuracy94.4%
(cbrt.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 y (sqrt.f64 z) x)))
Results
532.0ms256×0valid
Compiler

Compiled 187 to 28 computations (85% saved)

Precisions
Click to see histograms. Total time spent on operations: 301.0ms
ival-div: 210.0ms (69.9% of total)
ival-mult: 47.0ms (15.6% of total)
ival-pow: 14.0ms (4.7% of total)
ival-add: 13.0ms (4.3% of total)
ival-fma: 8.0ms (2.7% of total)
ival-sqrt: 5.0ms (1.7% of total)
ival-cbrt: 3.0ms (1% of total)
const: 1.0ms (0.3% of total)
backward-pass: 0.0ms (0% of total)

series206.0ms (1%)

Counts
18 → 467
Calls
Call 1
Inputs
#<alt (pow.f64 (cbrt.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 y (sqrt.f64 z) x))) #s(literal 3 binary64))>
#<alt (cbrt.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 y (sqrt.f64 z) x)))>
#<alt (*.f64 (sqrt.f64 z) (*.f64 y #s(literal 1/2 binary64)))>
#<alt (*.f64 y #s(literal 1/2 binary64))>
#<alt (+.f64 (sqrt.f64 z) (/.f64 x y))>
#<alt (/.f64 x y)>
#<alt (*.f64 y (*.f64 (sqrt.f64 z) (/.f64 #s(literal 1/2 binary64) x)))>
#<alt (*.f64 (sqrt.f64 z) (/.f64 #s(literal 1/2 binary64) x))>
#<alt (/.f64 #s(literal 1/2 binary64) x)>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) y) (sqrt.f64 z)))>
#<alt (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) y) (sqrt.f64 z))>
#<alt (*.f64 (/.f64 #s(literal 1 binary64) x) y)>
#<alt (/.f64 #s(literal 1 binary64) x)>
#<alt (*.f64 (*.f64 y #s(literal 1/2 binary64)) (+.f64 (sqrt.f64 z) (/.f64 x y)))>
#<alt (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 y (*.f64 (sqrt.f64 z) (/.f64 #s(literal 1/2 binary64) x)))))>
#<alt (+.f64 #s(literal 1/2 binary64) (*.f64 y (*.f64 (sqrt.f64 z) (/.f64 #s(literal 1/2 binary64) x))))>
#<alt (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) y) (sqrt.f64 z)))))>
#<alt (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) y) (sqrt.f64 z))))>
Outputs
#<alt (*.f64 x (pow.f64 (cbrt.f64 #s(literal 1/2 binary64)) #s(literal 3 binary64)))>
#<alt (+.f64 (*.f64 x (pow.f64 (cbrt.f64 #s(literal 1/2 binary64)) #s(literal 3 binary64))) (*.f64 (*.f64 y (pow.f64 (cbrt.f64 #s(literal 1/2 binary64)) #s(literal 3 binary64))) (sqrt.f64 z)))>
#<alt (+.f64 (*.f64 x (pow.f64 (cbrt.f64 #s(literal 1/2 binary64)) #s(literal 3 binary64))) (*.f64 (*.f64 y (pow.f64 (cbrt.f64 #s(literal 1/2 binary64)) #s(literal 3 binary64))) (sqrt.f64 z)))>
#<alt (+.f64 (*.f64 x (pow.f64 (cbrt.f64 #s(literal 1/2 binary64)) #s(literal 3 binary64))) (*.f64 (*.f64 y (pow.f64 (cbrt.f64 #s(literal 1/2 binary64)) #s(literal 3 binary64))) (sqrt.f64 z)))>
#<alt (*.f64 (*.f64 y (pow.f64 (cbrt.f64 #s(literal 1/2 binary64)) #s(literal 3 binary64))) (sqrt.f64 z))>
#<alt (*.f64 y (+.f64 (*.f64 (sqrt.f64 z) (pow.f64 (cbrt.f64 #s(literal 1/2 binary64)) #s(literal 3 binary64))) (/.f64 (*.f64 x (pow.f64 (cbrt.f64 #s(literal 1/2 binary64)) #s(literal 3 binary64))) y)))>
#<alt (*.f64 y (+.f64 (*.f64 (sqrt.f64 z) (pow.f64 (cbrt.f64 #s(literal 1/2 binary64)) #s(literal 3 binary64))) (/.f64 (*.f64 x (pow.f64 (cbrt.f64 #s(literal 1/2 binary64)) #s(literal 3 binary64))) y)))>
#<alt (*.f64 y (+.f64 (*.f64 (sqrt.f64 z) (pow.f64 (cbrt.f64 #s(literal 1/2 binary64)) #s(literal 3 binary64))) (/.f64 (*.f64 x (pow.f64 (cbrt.f64 #s(literal 1/2 binary64)) #s(literal 3 binary64))) y)))>
#<alt (*.f64 (*.f64 y (pow.f64 (cbrt.f64 #s(literal 1/2 binary64)) #s(literal 3 binary64))) (sqrt.f64 z))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 z) (pow.f64 (cbrt.f64 #s(literal 1/2 binary64)) #s(literal 3 binary64)))) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x (pow.f64 (cbrt.f64 #s(literal 1/2 binary64)) #s(literal 3 binary64))) y)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 z) (pow.f64 (cbrt.f64 #s(literal 1/2 binary64)) #s(literal 3 binary64)))) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x (pow.f64 (cbrt.f64 #s(literal 1/2 binary64)) #s(literal 3 binary64))) y)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 z) (pow.f64 (cbrt.f64 #s(literal 1/2 binary64)) #s(literal 3 binary64)))) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x (pow.f64 (cbrt.f64 #s(literal 1/2 binary64)) #s(literal 3 binary64))) y)))))>
#<alt (*.f64 (pow.f64 (cbrt.f64 #s(literal 1/2 binary64)) #s(literal 3 binary64)) (+.f64 x (*.f64 y (sqrt.f64 z))))>
#<alt (*.f64 (pow.f64 (cbrt.f64 #s(literal 1/2 binary64)) #s(literal 3 binary64)) (+.f64 x (*.f64 y (sqrt.f64 z))))>
#<alt (*.f64 (pow.f64 (cbrt.f64 #s(literal 1/2 binary64)) #s(literal 3 binary64)) (+.f64 x (*.f64 y (sqrt.f64 z))))>
#<alt (*.f64 (pow.f64 (cbrt.f64 #s(literal 1/2 binary64)) #s(literal 3 binary64)) (+.f64 x (*.f64 y (sqrt.f64 z))))>
#<alt (*.f64 (*.f64 y (pow.f64 (cbrt.f64 #s(literal 1/2 binary64)) #s(literal 3 binary64))) (sqrt.f64 z))>
#<alt (*.f64 z (+.f64 (*.f64 (*.f64 y (pow.f64 (cbrt.f64 #s(literal 1/2 binary64)) #s(literal 3 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) (/.f64 (*.f64 x (pow.f64 (cbrt.f64 #s(literal 1/2 binary64)) #s(literal 3 binary64))) z)))>
#<alt (*.f64 z (+.f64 (*.f64 (*.f64 y (pow.f64 (cbrt.f64 #s(literal 1/2 binary64)) #s(literal 3 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) (/.f64 (*.f64 x (pow.f64 (cbrt.f64 #s(literal 1/2 binary64)) #s(literal 3 binary64))) z)))>
#<alt (*.f64 z (+.f64 (*.f64 (*.f64 y (pow.f64 (cbrt.f64 #s(literal 1/2 binary64)) #s(literal 3 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) (/.f64 (*.f64 x (pow.f64 (cbrt.f64 #s(literal 1/2 binary64)) #s(literal 3 binary64))) z)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (*.f64 y (*.f64 (pow.f64 (cbrt.f64 #s(literal 1/2 binary64)) #s(literal 3 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))) (sqrt.f64 z)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x (pow.f64 (cbrt.f64 #s(literal 1/2 binary64)) #s(literal 3 binary64))) z)) (*.f64 (*.f64 y (*.f64 (pow.f64 (cbrt.f64 #s(literal 1/2 binary64)) #s(literal 3 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) z))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x (pow.f64 (cbrt.f64 #s(literal 1/2 binary64)) #s(literal 3 binary64))) z)) (*.f64 (*.f64 y (*.f64 (pow.f64 (cbrt.f64 #s(literal 1/2 binary64)) #s(literal 3 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) z))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x (pow.f64 (cbrt.f64 #s(literal 1/2 binary64)) #s(literal 3 binary64))) z)) (*.f64 (*.f64 y (*.f64 (pow.f64 (cbrt.f64 #s(literal 1/2 binary64)) #s(literal 3 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) z))))))>
#<alt (*.f64 (*.f64 y (pow.f64 (cbrt.f64 #s(literal 1/2 binary64)) #s(literal 3 binary64))) (sqrt.f64 z))>
#<alt (+.f64 (*.f64 x (pow.f64 (cbrt.f64 #s(literal 1/2 binary64)) #s(literal 3 binary64))) (*.f64 (*.f64 y (pow.f64 (cbrt.f64 #s(literal 1/2 binary64)) #s(literal 3 binary64))) (sqrt.f64 z)))>
#<alt (+.f64 (*.f64 x (pow.f64 (cbrt.f64 #s(literal 1/2 binary64)) #s(literal 3 binary64))) (*.f64 (*.f64 y (pow.f64 (cbrt.f64 #s(literal 1/2 binary64)) #s(literal 3 binary64))) (sqrt.f64 z)))>
#<alt (+.f64 (*.f64 x (pow.f64 (cbrt.f64 #s(literal 1/2 binary64)) #s(literal 3 binary64))) (*.f64 (*.f64 y (pow.f64 (cbrt.f64 #s(literal 1/2 binary64)) #s(literal 3 binary64))) (sqrt.f64 z)))>
#<alt (*.f64 x (pow.f64 (cbrt.f64 #s(literal 1/2 binary64)) #s(literal 3 binary64)))>
#<alt (*.f64 x (+.f64 (*.f64 (/.f64 (*.f64 y (pow.f64 (cbrt.f64 #s(literal 1/2 binary64)) #s(literal 3 binary64))) x) (sqrt.f64 z)) (pow.f64 (cbrt.f64 #s(literal 1/2 binary64)) #s(literal 3 binary64))))>
#<alt (*.f64 x (+.f64 (*.f64 (/.f64 (*.f64 y (pow.f64 (cbrt.f64 #s(literal 1/2 binary64)) #s(literal 3 binary64))) x) (sqrt.f64 z)) (pow.f64 (cbrt.f64 #s(literal 1/2 binary64)) #s(literal 3 binary64))))>
#<alt (*.f64 x (+.f64 (*.f64 (/.f64 (*.f64 y (pow.f64 (cbrt.f64 #s(literal 1/2 binary64)) #s(literal 3 binary64))) x) (sqrt.f64 z)) (pow.f64 (cbrt.f64 #s(literal 1/2 binary64)) #s(literal 3 binary64))))>
#<alt (*.f64 x (pow.f64 (cbrt.f64 #s(literal 1/2 binary64)) #s(literal 3 binary64)))>
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#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (-.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) z)))))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 y x) (sqrt.f64 z)))>
#<alt (/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 #s(literal 1/2 binary64) (*.f64 y (sqrt.f64 z)))) x)>
#<alt (/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 #s(literal 1/2 binary64) (*.f64 y (sqrt.f64 z)))) x)>
#<alt (/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 #s(literal 1/2 binary64) (*.f64 y (sqrt.f64 z)))) x)>
#<alt #s(literal 1/2 binary64)>
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#<alt (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 y x) (sqrt.f64 z))))>
#<alt (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 y x) (sqrt.f64 z))))>
#<alt #s(literal 1/2 binary64)>
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#<alt (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 y x) (sqrt.f64 z))))>
#<alt (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 y x) (sqrt.f64 z))))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 y (sqrt.f64 z)))>
#<alt (+.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 #s(literal 1/2 binary64) (*.f64 y (sqrt.f64 z))))>
#<alt (+.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 #s(literal 1/2 binary64) (*.f64 y (sqrt.f64 z))))>
#<alt (+.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 #s(literal 1/2 binary64) (*.f64 y (sqrt.f64 z))))>
#<alt (*.f64 #s(literal 1/2 binary64) x)>
#<alt (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 y x) (sqrt.f64 z)))))>
#<alt (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 y x) (sqrt.f64 z)))))>
#<alt (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 y x) (sqrt.f64 z)))))>
#<alt (*.f64 #s(literal 1/2 binary64) x)>
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#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 y x) (sqrt.f64 z))) #s(literal 1/2 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 y x) (sqrt.f64 z))) #s(literal 1/2 binary64))))>
#<alt (*.f64 #s(literal 1/2 binary64) x)>
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#<alt (*.f64 y (+.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 z)) (*.f64 #s(literal 1/2 binary64) (/.f64 x y))))>
#<alt (*.f64 y (+.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 z)) (*.f64 #s(literal 1/2 binary64) (/.f64 x y))))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 y (sqrt.f64 z)))>
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#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 z)) (*.f64 #s(literal -1/2 binary64) (/.f64 x y)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 z)) (*.f64 #s(literal -1/2 binary64) (/.f64 x y)))))>
#<alt (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 y x) (sqrt.f64 z)))))>
#<alt (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 y x) (sqrt.f64 z)))))>
#<alt (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 y x) (sqrt.f64 z)))))>
#<alt (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 y x) (sqrt.f64 z)))))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 y (sqrt.f64 z)))>
#<alt (*.f64 z (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))) (*.f64 #s(literal 1/2 binary64) (/.f64 x z))))>
#<alt (*.f64 z (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))) (*.f64 #s(literal 1/2 binary64) (/.f64 x z))))>
#<alt (*.f64 z (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))) (*.f64 #s(literal 1/2 binary64) (/.f64 x z))))>
#<alt (*.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (sqrt.f64 z)))>
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#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x z)) (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))))))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 y x) (sqrt.f64 z)))>
#<alt (/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 #s(literal 1/2 binary64) (*.f64 y (sqrt.f64 z)))) x)>
#<alt (/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 #s(literal 1/2 binary64) (*.f64 y (sqrt.f64 z)))) x)>
#<alt (/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 #s(literal 1/2 binary64) (*.f64 y (sqrt.f64 z)))) x)>
#<alt #s(literal 1/2 binary64)>
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#<alt (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 y x) (sqrt.f64 z))))>
#<alt (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 y x) (sqrt.f64 z))))>
#<alt #s(literal 1/2 binary64)>
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#<alt (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 y x) (sqrt.f64 z))))>
#<alt (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 y x) (sqrt.f64 z))))>
#<alt #s(literal 1/2 binary64)>
#<alt (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 y x) (sqrt.f64 z))))>
#<alt (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 y x) (sqrt.f64 z))))>
#<alt (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 y x) (sqrt.f64 z))))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 y x) (sqrt.f64 z)))>
#<alt (*.f64 y (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 z))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y))))>
#<alt (*.f64 y (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 z))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y))))>
#<alt (*.f64 y (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 z))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y))))>
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#<alt (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 y x) (sqrt.f64 z))))>
#<alt (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 y x) (sqrt.f64 z))))>
#<alt (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 y x) (sqrt.f64 z))))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 y x) (sqrt.f64 z)))>
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#<alt (*.f64 z (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 y x) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) z))))>
#<alt (*.f64 z (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 y x) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) z))))>
#<alt (*.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) x) (sqrt.f64 z)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (-.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) z)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (-.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) z)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (-.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) z)))))>
Calls

132 calls:

TimeVariablePointExpression
15.0ms
z
@-inf
(cbrt (* 1/2 (+ (* y (sqrt z)) x)))
10.0ms
y
@-inf
(cbrt (* 1/2 (+ (* y (sqrt z)) x)))
9.0ms
x
@-inf
(cbrt (* 1/2 (+ (* y (sqrt z)) x)))
8.0ms
z
@inf
(cbrt (* 1/2 (+ (* y (sqrt z)) x)))
8.0ms
y
@inf
(cbrt (* 1/2 (+ (* y (sqrt z)) x)))

rewrite320.0ms (1.6%)

Algorithm
batch-egg-rewrite
Rules
324×associate-*r*
246×log1p-expm1-u
246×expm1-log1p-u
243×add-cube-cbrt
241×add-exp-log
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
035489
1568473
Stop Event
node limit
Counts
18 → 461
Calls
Call 1
Inputs
(pow.f64 (cbrt.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 y (sqrt.f64 z) x))) #s(literal 3 binary64))
(cbrt.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 y (sqrt.f64 z) x)))
(*.f64 (sqrt.f64 z) (*.f64 y #s(literal 1/2 binary64)))
(*.f64 y #s(literal 1/2 binary64))
(+.f64 (sqrt.f64 z) (/.f64 x y))
(/.f64 x y)
(*.f64 y (*.f64 (sqrt.f64 z) (/.f64 #s(literal 1/2 binary64) x)))
(*.f64 (sqrt.f64 z) (/.f64 #s(literal 1/2 binary64) x))
(/.f64 #s(literal 1/2 binary64) x)
(*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) y) (sqrt.f64 z)))
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) y) (sqrt.f64 z))
(*.f64 (/.f64 #s(literal 1 binary64) x) y)
(/.f64 #s(literal 1 binary64) x)
(*.f64 (*.f64 y #s(literal 1/2 binary64)) (+.f64 (sqrt.f64 z) (/.f64 x y)))
(*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 y (*.f64 (sqrt.f64 z) (/.f64 #s(literal 1/2 binary64) x)))))
(+.f64 #s(literal 1/2 binary64) (*.f64 y (*.f64 (sqrt.f64 z) (/.f64 #s(literal 1/2 binary64) x))))
(*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) y) (sqrt.f64 z)))))
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) y) (sqrt.f64 z))))
Outputs
(+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 y (sqrt.f64 z))) (*.f64 #s(literal 1/2 binary64) x))
(-.f64 (exp.f64 (log1p.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 y (sqrt.f64 z) x)))) #s(literal 1 binary64))
(*.f64 #s(literal 1/2 binary64) (fma.f64 y (sqrt.f64 z) x))
(*.f64 (fma.f64 y (sqrt.f64 z) x) #s(literal 1/2 binary64))
(*.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 y (sqrt.f64 z) x)) #s(literal 1 binary64))
(*.f64 (cbrt.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 y (sqrt.f64 z) x))) (pow.f64 (cbrt.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 y (sqrt.f64 z) x))) #s(literal 2 binary64)))
(*.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (fma.f64 y (sqrt.f64 z) x)))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 y (sqrt.f64 z) x))) #s(literal 2 binary64)) (cbrt.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 y (sqrt.f64 z) x))))
(*.f64 (cbrt.f64 #s(literal 1/2 binary64)) (*.f64 (cbrt.f64 (fma.f64 y (sqrt.f64 z) x)) (pow.f64 (cbrt.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 y (sqrt.f64 z) x))) #s(literal 2 binary64))))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 y (sqrt.f64 z) x)) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (fma.f64 y (sqrt.f64 z) x)) #s(literal 1/2 binary64)))
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 y (sqrt.f64 z) x))) #s(literal 2 binary64))) (*.f64 (cbrt.f64 (cbrt.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 y (sqrt.f64 z) x)))) (pow.f64 (cbrt.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 y (sqrt.f64 z) x))) #s(literal 2 binary64))))
(*.f64 (sqrt.f64 (fma.f64 y (sqrt.f64 z) x)) (*.f64 (sqrt.f64 (fma.f64 y (sqrt.f64 z) x)) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 y (sqrt.f64 z) x)) #s(literal 1/6 binary64)) (*.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 y (sqrt.f64 z) x)) #s(literal 1/6 binary64)) (pow.f64 (cbrt.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 y (sqrt.f64 z) x))) #s(literal 2 binary64))))
(*.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 y (sqrt.f64 z) x))) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 y (sqrt.f64 z) x))))
(*.f64 (pow.f64 (cbrt.f64 #s(literal 1/2 binary64)) #s(literal 3 binary64)) (fma.f64 y (sqrt.f64 z) x))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 y (sqrt.f64 z) x))) #s(literal 2 binary64))) #s(literal 3 binary64)) (cbrt.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 y (sqrt.f64 z) x))))
(*.f64 (pow.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 y (sqrt.f64 z) x)) #s(literal 1/6 binary64)) #s(literal 3 binary64)) (pow.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 y (sqrt.f64 z) x)) #s(literal 1/6 binary64)) #s(literal 3 binary64)))
(*.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 (cbrt.f64 (fma.f64 y (sqrt.f64 z) x)) #s(literal 2 binary64))) (cbrt.f64 (fma.f64 y (sqrt.f64 z) x)))
(*.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 y (sqrt.f64 z) x))) (sqrt.f64 (fma.f64 y (sqrt.f64 z) x)))
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(*.f64 (+.f64 (*.f64 (sqrt.f64 z) (/.f64 y x)) #s(literal 1 binary64)) #s(literal 1/2 binary64))
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(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/4 binary64) (-.f64 (*.f64 (*.f64 z (pow.f64 (/.f64 y x) #s(literal 2 binary64))) #s(literal 1/4 binary64)) (*.f64 #s(literal 1/4 binary64) (*.f64 (sqrt.f64 z) (/.f64 y x))))) (+.f64 (*.f64 (pow.f64 (*.f64 (sqrt.f64 z) (/.f64 y x)) #s(literal 3 binary64)) #s(literal 1/8 binary64)) #s(literal 1/8 binary64))))
(/.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 z (pow.f64 (/.f64 y x) #s(literal 2 binary64))) #s(literal 1/4 binary64))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 z) (/.f64 y x)))))
(/.f64 (+.f64 (*.f64 (pow.f64 (*.f64 (sqrt.f64 z) (/.f64 y x)) #s(literal 3 binary64)) #s(literal 1/8 binary64)) #s(literal 1/8 binary64)) (+.f64 #s(literal 1/4 binary64) (-.f64 (*.f64 (*.f64 z (pow.f64 (/.f64 y x) #s(literal 2 binary64))) #s(literal 1/4 binary64)) (*.f64 #s(literal 1/4 binary64) (*.f64 (sqrt.f64 z) (/.f64 y x))))))
(/.f64 (+.f64 (*.f64 (pow.f64 (*.f64 (sqrt.f64 z) (/.f64 y x)) #s(literal 3 binary64)) #s(literal 1/8 binary64)) #s(literal 1/8 binary64)) (+.f64 (*.f64 (*.f64 z (pow.f64 (/.f64 y x) #s(literal 2 binary64))) #s(literal 1/4 binary64)) (-.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/4 binary64) (*.f64 (sqrt.f64 z) (/.f64 y x))))))
(/.f64 (neg.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 z (pow.f64 (/.f64 y x) #s(literal 2 binary64))) #s(literal 1/4 binary64)))) (neg.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 z) (/.f64 y x))))))
(/.f64 (neg.f64 (+.f64 (*.f64 (pow.f64 (*.f64 (sqrt.f64 z) (/.f64 y x)) #s(literal 3 binary64)) #s(literal 1/8 binary64)) #s(literal 1/8 binary64))) (neg.f64 (+.f64 #s(literal 1/4 binary64) (-.f64 (*.f64 (*.f64 z (pow.f64 (/.f64 y x) #s(literal 2 binary64))) #s(literal 1/4 binary64)) (*.f64 #s(literal 1/4 binary64) (*.f64 (sqrt.f64 z) (/.f64 y x)))))))
(/.f64 (-.f64 (*.f64 (*.f64 z (pow.f64 (/.f64 y x) #s(literal 2 binary64))) #s(literal 1/4 binary64)) #s(literal 1/4 binary64)) (-.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) x) (*.f64 y (sqrt.f64 z))) #s(literal 1/2 binary64)))
(pow.f64 (fma.f64 (*.f64 y (sqrt.f64 z)) (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (fma.f64 (*.f64 y (sqrt.f64 z)) (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (fma.f64 (*.f64 y (sqrt.f64 z)) (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (fma.f64 (*.f64 y (sqrt.f64 z)) (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (fma.f64 (*.f64 y (sqrt.f64 z)) (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64)) #s(literal 2 binary64)))
(log.f64 (exp.f64 (fma.f64 (*.f64 y (sqrt.f64 z)) (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 (*.f64 y (sqrt.f64 z)) (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64)))))
(cbrt.f64 (pow.f64 (fma.f64 (*.f64 y (sqrt.f64 z)) (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (fma.f64 (*.f64 y (sqrt.f64 z)) (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64))))
(log1p.f64 (expm1.f64 (fma.f64 (*.f64 y (sqrt.f64 z)) (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64))))
(exp.f64 (log.f64 (fma.f64 (*.f64 y (sqrt.f64 z)) (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64))))
(exp.f64 (*.f64 (log.f64 (fma.f64 (*.f64 y (sqrt.f64 z)) (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64))) #s(literal 1 binary64)))
(fma.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 z) (/.f64 y x)) #s(literal 1/2 binary64))
(fma.f64 y (*.f64 (sqrt.f64 z) (/.f64 #s(literal 1/2 binary64) x)) #s(literal 1/2 binary64))
(fma.f64 (*.f64 (sqrt.f64 z) (/.f64 #s(literal 1/2 binary64) x)) y #s(literal 1/2 binary64))
(fma.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1/2 binary64) x) (*.f64 y (sqrt.f64 z))) #s(literal 1/2 binary64))
(fma.f64 (*.f64 (sqrt.f64 z) (/.f64 y x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
(fma.f64 (*.f64 y (sqrt.f64 z)) (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64))
(fma.f64 (cbrt.f64 (*.f64 (*.f64 z (pow.f64 (/.f64 y x) #s(literal 2 binary64))) #s(literal 1/4 binary64))) (cbrt.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) x) (*.f64 y (sqrt.f64 z)))) #s(literal 1/2 binary64))
(fma.f64 (sqrt.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) x) (*.f64 y (sqrt.f64 z)))) (sqrt.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) x) (*.f64 y (sqrt.f64 z)))) #s(literal 1/2 binary64))
(fma.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 y x)) (sqrt.f64 z) #s(literal 1/2 binary64))

simplify1.1s (5.4%)

Algorithm
egg-herbie
Rules
576×fma-define
391×*-commutative
283×distribute-rgt-in
276×distribute-lft-in
268×associate-*r/
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0125125769840633
1324925769839231
Stop Event
node limit
Counts
928 → 639
Calls
Call 1
Inputs
(*.f64 x (pow.f64 (cbrt.f64 #s(literal 1/2 binary64)) #s(literal 3 binary64)))
(+.f64 (*.f64 x (pow.f64 (cbrt.f64 #s(literal 1/2 binary64)) #s(literal 3 binary64))) (*.f64 (*.f64 y (pow.f64 (cbrt.f64 #s(literal 1/2 binary64)) #s(literal 3 binary64))) (sqrt.f64 z)))
(+.f64 (*.f64 x (pow.f64 (cbrt.f64 #s(literal 1/2 binary64)) #s(literal 3 binary64))) (*.f64 (*.f64 y (pow.f64 (cbrt.f64 #s(literal 1/2 binary64)) #s(literal 3 binary64))) (sqrt.f64 z)))
(+.f64 (*.f64 x (pow.f64 (cbrt.f64 #s(literal 1/2 binary64)) #s(literal 3 binary64))) (*.f64 (*.f64 y (pow.f64 (cbrt.f64 #s(literal 1/2 binary64)) #s(literal 3 binary64))) (sqrt.f64 z)))
(*.f64 (*.f64 y (pow.f64 (cbrt.f64 #s(literal 1/2 binary64)) #s(literal 3 binary64))) (sqrt.f64 z))
(*.f64 y (+.f64 (*.f64 (sqrt.f64 z) (pow.f64 (cbrt.f64 #s(literal 1/2 binary64)) #s(literal 3 binary64))) (/.f64 (*.f64 x (pow.f64 (cbrt.f64 #s(literal 1/2 binary64)) #s(literal 3 binary64))) y)))
(*.f64 y (+.f64 (*.f64 (sqrt.f64 z) (pow.f64 (cbrt.f64 #s(literal 1/2 binary64)) #s(literal 3 binary64))) (/.f64 (*.f64 x (pow.f64 (cbrt.f64 #s(literal 1/2 binary64)) #s(literal 3 binary64))) y)))
(*.f64 y (+.f64 (*.f64 (sqrt.f64 z) (pow.f64 (cbrt.f64 #s(literal 1/2 binary64)) #s(literal 3 binary64))) (/.f64 (*.f64 x (pow.f64 (cbrt.f64 #s(literal 1/2 binary64)) #s(literal 3 binary64))) y)))
(*.f64 (*.f64 y (pow.f64 (cbrt.f64 #s(literal 1/2 binary64)) #s(literal 3 binary64))) (sqrt.f64 z))
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 z) (pow.f64 (cbrt.f64 #s(literal 1/2 binary64)) #s(literal 3 binary64)))) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x (pow.f64 (cbrt.f64 #s(literal 1/2 binary64)) #s(literal 3 binary64))) y)))))
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 z) (pow.f64 (cbrt.f64 #s(literal 1/2 binary64)) #s(literal 3 binary64)))) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x (pow.f64 (cbrt.f64 #s(literal 1/2 binary64)) #s(literal 3 binary64))) y)))))
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 z) (pow.f64 (cbrt.f64 #s(literal 1/2 binary64)) #s(literal 3 binary64)))) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x (pow.f64 (cbrt.f64 #s(literal 1/2 binary64)) #s(literal 3 binary64))) y)))))
(*.f64 (pow.f64 (cbrt.f64 #s(literal 1/2 binary64)) #s(literal 3 binary64)) (+.f64 x (*.f64 y (sqrt.f64 z))))
(*.f64 (pow.f64 (cbrt.f64 #s(literal 1/2 binary64)) #s(literal 3 binary64)) (+.f64 x (*.f64 y (sqrt.f64 z))))
(*.f64 (pow.f64 (cbrt.f64 #s(literal 1/2 binary64)) #s(literal 3 binary64)) (+.f64 x (*.f64 y (sqrt.f64 z))))
(*.f64 (pow.f64 (cbrt.f64 #s(literal 1/2 binary64)) #s(literal 3 binary64)) (+.f64 x (*.f64 y (sqrt.f64 z))))
(*.f64 (*.f64 y (pow.f64 (cbrt.f64 #s(literal 1/2 binary64)) #s(literal 3 binary64))) (sqrt.f64 z))
(*.f64 z (+.f64 (*.f64 (*.f64 y (pow.f64 (cbrt.f64 #s(literal 1/2 binary64)) #s(literal 3 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) (/.f64 (*.f64 x (pow.f64 (cbrt.f64 #s(literal 1/2 binary64)) #s(literal 3 binary64))) z)))
(*.f64 z (+.f64 (*.f64 (*.f64 y (pow.f64 (cbrt.f64 #s(literal 1/2 binary64)) #s(literal 3 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) (/.f64 (*.f64 x (pow.f64 (cbrt.f64 #s(literal 1/2 binary64)) #s(literal 3 binary64))) z)))
(*.f64 z (+.f64 (*.f64 (*.f64 y (pow.f64 (cbrt.f64 #s(literal 1/2 binary64)) #s(literal 3 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) (/.f64 (*.f64 x (pow.f64 (cbrt.f64 #s(literal 1/2 binary64)) #s(literal 3 binary64))) z)))
(*.f64 #s(literal -1 binary64) (*.f64 (*.f64 y (*.f64 (pow.f64 (cbrt.f64 #s(literal 1/2 binary64)) #s(literal 3 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))) (sqrt.f64 z)))
(*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x (pow.f64 (cbrt.f64 #s(literal 1/2 binary64)) #s(literal 3 binary64))) z)) (*.f64 (*.f64 y (*.f64 (pow.f64 (cbrt.f64 #s(literal 1/2 binary64)) #s(literal 3 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) z))))))
(*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x (pow.f64 (cbrt.f64 #s(literal 1/2 binary64)) #s(literal 3 binary64))) z)) (*.f64 (*.f64 y (*.f64 (pow.f64 (cbrt.f64 #s(literal 1/2 binary64)) #s(literal 3 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) z))))))
(*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x (pow.f64 (cbrt.f64 #s(literal 1/2 binary64)) #s(literal 3 binary64))) z)) (*.f64 (*.f64 y (*.f64 (pow.f64 (cbrt.f64 #s(literal 1/2 binary64)) #s(literal 3 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) z))))))
(*.f64 (*.f64 y (pow.f64 (cbrt.f64 #s(literal 1/2 binary64)) #s(literal 3 binary64))) (sqrt.f64 z))
(+.f64 (*.f64 x (pow.f64 (cbrt.f64 #s(literal 1/2 binary64)) #s(literal 3 binary64))) (*.f64 (*.f64 y (pow.f64 (cbrt.f64 #s(literal 1/2 binary64)) #s(literal 3 binary64))) (sqrt.f64 z)))
(+.f64 (*.f64 x (pow.f64 (cbrt.f64 #s(literal 1/2 binary64)) #s(literal 3 binary64))) (*.f64 (*.f64 y (pow.f64 (cbrt.f64 #s(literal 1/2 binary64)) #s(literal 3 binary64))) (sqrt.f64 z)))
(+.f64 (*.f64 x (pow.f64 (cbrt.f64 #s(literal 1/2 binary64)) #s(literal 3 binary64))) (*.f64 (*.f64 y (pow.f64 (cbrt.f64 #s(literal 1/2 binary64)) #s(literal 3 binary64))) (sqrt.f64 z)))
(*.f64 x (pow.f64 (cbrt.f64 #s(literal 1/2 binary64)) #s(literal 3 binary64)))
(*.f64 x (+.f64 (*.f64 (/.f64 (*.f64 y (pow.f64 (cbrt.f64 #s(literal 1/2 binary64)) #s(literal 3 binary64))) x) (sqrt.f64 z)) (pow.f64 (cbrt.f64 #s(literal 1/2 binary64)) #s(literal 3 binary64))))
(*.f64 x (+.f64 (*.f64 (/.f64 (*.f64 y (pow.f64 (cbrt.f64 #s(literal 1/2 binary64)) #s(literal 3 binary64))) x) (sqrt.f64 z)) (pow.f64 (cbrt.f64 #s(literal 1/2 binary64)) #s(literal 3 binary64))))
(*.f64 x (+.f64 (*.f64 (/.f64 (*.f64 y (pow.f64 (cbrt.f64 #s(literal 1/2 binary64)) #s(literal 3 binary64))) x) (sqrt.f64 z)) (pow.f64 (cbrt.f64 #s(literal 1/2 binary64)) #s(literal 3 binary64))))
(*.f64 x (pow.f64 (cbrt.f64 #s(literal 1/2 binary64)) #s(literal 3 binary64)))
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 (/.f64 (*.f64 y (pow.f64 (cbrt.f64 #s(literal 1/2 binary64)) #s(literal 3 binary64))) x) (sqrt.f64 z))) (*.f64 #s(literal -1 binary64) (pow.f64 (cbrt.f64 #s(literal 1/2 binary64)) #s(literal 3 binary64))))))
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 (/.f64 (*.f64 y (pow.f64 (cbrt.f64 #s(literal 1/2 binary64)) #s(literal 3 binary64))) x) (sqrt.f64 z))) (*.f64 #s(literal -1 binary64) (pow.f64 (cbrt.f64 #s(literal 1/2 binary64)) #s(literal 3 binary64))))))
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 (/.f64 (*.f64 y (pow.f64 (cbrt.f64 #s(literal 1/2 binary64)) #s(literal 3 binary64))) x) (sqrt.f64 z))) (*.f64 #s(literal -1 binary64) (pow.f64 (cbrt.f64 #s(literal 1/2 binary64)) #s(literal 3 binary64))))))
(*.f64 (cbrt.f64 x) (cbrt.f64 #s(literal 1/2 binary64)))
(+.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/9 binary64)) (*.f64 (*.f64 y (cbrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 z)))) (*.f64 (cbrt.f64 x) (cbrt.f64 #s(literal 1/2 binary64))))
(+.f64 (*.f64 y (+.f64 (*.f64 #s(literal -1/9 binary64) (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 7 binary64))) #s(literal 1/9 binary64)) (*.f64 y (*.f64 z (cbrt.f64 #s(literal 1/2 binary64)))))) (*.f64 #s(literal 1/3 binary64) (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/9 binary64)) (*.f64 (sqrt.f64 z) (cbrt.f64 #s(literal 1/2 binary64))))))) (*.f64 (cbrt.f64 x) (cbrt.f64 #s(literal 1/2 binary64))))
(+.f64 (*.f64 y (+.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/9 binary64)) (*.f64 (sqrt.f64 z) (cbrt.f64 #s(literal 1/2 binary64))))) (*.f64 y (+.f64 (*.f64 #s(literal -1/3 binary64) (*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) (*.f64 y (*.f64 (cbrt.f64 #s(literal 1/2 binary64)) (+.f64 (*.f64 #s(literal -2/9 binary64) (*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/9 binary64)) (*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) (sqrt.f64 (pow.f64 z #s(literal 3 binary64)))))) (*.f64 #s(literal 1/27 binary64) (*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) (sqrt.f64 (pow.f64 z #s(literal 3 binary64)))))))))) (*.f64 #s(literal -1/9 binary64) (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 7 binary64))) #s(literal 1/9 binary64)) (*.f64 z (cbrt.f64 #s(literal 1/2 binary64))))))))) (*.f64 (cbrt.f64 x) (cbrt.f64 #s(literal 1/2 binary64))))
(*.f64 (pow.f64 (*.f64 #s(literal 1 binary64) z) #s(literal 1/6 binary64)) (*.f64 (cbrt.f64 y) (cbrt.f64 #s(literal 1/2 binary64))))
(*.f64 y (+.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 x (cbrt.f64 #s(literal 1/2 binary64))) (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 y #s(literal 5 binary64)) z))))) (*.f64 (pow.f64 (*.f64 #s(literal 1 binary64) z) #s(literal 1/6 binary64)) (*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64)))) (cbrt.f64 #s(literal 1/2 binary64))))))
(*.f64 y (+.f64 (*.f64 #s(literal -1/9 binary64) (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 5 binary64))) #s(literal 1/6 binary64)) (*.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (cbrt.f64 #s(literal 1/2 binary64))) (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 8 binary64))))))) (+.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 x (cbrt.f64 #s(literal 1/2 binary64))) (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 y #s(literal 5 binary64)) z))))) (*.f64 (pow.f64 (*.f64 #s(literal 1 binary64) z) #s(literal 1/6 binary64)) (*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64)))) (cbrt.f64 #s(literal 1/2 binary64)))))))
(*.f64 y (+.f64 (*.f64 #s(literal -1/3 binary64) (*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 y #s(literal 23 binary64)) z))) (*.f64 (cbrt.f64 #s(literal 1/2 binary64)) (+.f64 (*.f64 #s(literal -2/9 binary64) (/.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 4 binary64))) z)) (*.f64 #s(literal 1/27 binary64) (/.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 4 binary64))) z)))))) (+.f64 (*.f64 #s(literal -1/9 binary64) (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 5 binary64))) #s(literal 1/6 binary64)) (*.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (cbrt.f64 #s(literal 1/2 binary64))) (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 8 binary64))))))) (+.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 x (cbrt.f64 #s(literal 1/2 binary64))) (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 y #s(literal 5 binary64)) z))))) (*.f64 (pow.f64 (*.f64 #s(literal 1 binary64) z) #s(literal 1/6 binary64)) (*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64)))) (cbrt.f64 #s(literal 1/2 binary64))))))))
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(pow.f64 (pow.f64 (*.f64 x (fma.f64 (*.f64 y (sqrt.f64 z)) (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 x (fma.f64 (*.f64 y (sqrt.f64 z)) (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64)))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 x (fma.f64 (*.f64 y (sqrt.f64 z)) (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64))) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 (fma.f64 (*.f64 y (sqrt.f64 z)) (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64))) x))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x (fma.f64 (*.f64 y (sqrt.f64 z)) (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64))))))
(cbrt.f64 (pow.f64 (*.f64 x (fma.f64 (*.f64 y (sqrt.f64 z)) (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64))) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (fma.f64 (*.f64 y (sqrt.f64 z)) (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64)) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (fma.f64 (*.f64 y (sqrt.f64 z)) (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 x (fma.f64 (*.f64 y (sqrt.f64 z)) (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64)))))
(log1p.f64 (expm1.f64 (*.f64 x (fma.f64 (*.f64 y (sqrt.f64 z)) (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64)))))
(exp.f64 (log.f64 (*.f64 x (fma.f64 (*.f64 y (sqrt.f64 z)) (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64)))))
(exp.f64 (*.f64 (log.f64 (*.f64 x (fma.f64 (*.f64 y (sqrt.f64 z)) (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64)))) #s(literal 1 binary64)))
(fma.f64 #s(literal 1/2 binary64) x (*.f64 x (*.f64 (/.f64 #s(literal 1/2 binary64) x) (*.f64 y (sqrt.f64 z)))))
(fma.f64 x #s(literal 1/2 binary64) (*.f64 x (*.f64 (/.f64 #s(literal 1/2 binary64) x) (*.f64 y (sqrt.f64 z)))))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 (*.f64 y (sqrt.f64 z)) (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64)))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 z) (/.f64 y x))))) (/.f64 (*.f64 (*.f64 z (pow.f64 (/.f64 y x) #s(literal 2 binary64))) #s(literal 1/4 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 z) (/.f64 y x))))))
(*.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y (sqrt.f64 z)) (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64)))
(*.f64 (fma.f64 (*.f64 y (sqrt.f64 z)) (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(*.f64 (cbrt.f64 (fma.f64 (*.f64 y (sqrt.f64 z)) (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64))) (cbrt.f64 (pow.f64 (fma.f64 (*.f64 y (sqrt.f64 z)) (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64)) #s(literal 2 binary64))))
(*.f64 (cbrt.f64 (pow.f64 (fma.f64 (*.f64 y (sqrt.f64 z)) (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64)) #s(literal 2 binary64))) (cbrt.f64 (fma.f64 (*.f64 y (sqrt.f64 z)) (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64))))
(*.f64 (sqrt.f64 (fma.f64 (*.f64 y (sqrt.f64 z)) (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64))) (sqrt.f64 (fma.f64 (*.f64 y (sqrt.f64 z)) (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64))))
(*.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 z (pow.f64 (/.f64 y x) #s(literal 2 binary64))) #s(literal 1/4 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 z) (/.f64 y x))))))
(*.f64 (+.f64 (*.f64 (pow.f64 (*.f64 (sqrt.f64 z) (/.f64 y x)) #s(literal 3 binary64)) #s(literal 1/8 binary64)) #s(literal 1/8 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/4 binary64) (-.f64 (*.f64 (*.f64 z (pow.f64 (/.f64 y x) #s(literal 2 binary64))) #s(literal 1/4 binary64)) (*.f64 #s(literal 1/4 binary64) (*.f64 (sqrt.f64 z) (/.f64 y x)))))))
(*.f64 (+.f64 (*.f64 (sqrt.f64 z) (/.f64 y x)) #s(literal 1 binary64)) #s(literal 1/2 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 z) (/.f64 y x)))) (-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 z (pow.f64 (/.f64 y x) #s(literal 2 binary64))) #s(literal 1/4 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/4 binary64) (-.f64 (*.f64 (*.f64 z (pow.f64 (/.f64 y x) #s(literal 2 binary64))) #s(literal 1/4 binary64)) (*.f64 #s(literal 1/4 binary64) (*.f64 (sqrt.f64 z) (/.f64 y x))))) (+.f64 (*.f64 (pow.f64 (*.f64 (sqrt.f64 z) (/.f64 y x)) #s(literal 3 binary64)) #s(literal 1/8 binary64)) #s(literal 1/8 binary64))))
(/.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 z (pow.f64 (/.f64 y x) #s(literal 2 binary64))) #s(literal 1/4 binary64))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 z) (/.f64 y x)))))
(/.f64 (+.f64 (*.f64 (pow.f64 (*.f64 (sqrt.f64 z) (/.f64 y x)) #s(literal 3 binary64)) #s(literal 1/8 binary64)) #s(literal 1/8 binary64)) (+.f64 #s(literal 1/4 binary64) (-.f64 (*.f64 (*.f64 z (pow.f64 (/.f64 y x) #s(literal 2 binary64))) #s(literal 1/4 binary64)) (*.f64 #s(literal 1/4 binary64) (*.f64 (sqrt.f64 z) (/.f64 y x))))))
(/.f64 (+.f64 (*.f64 (pow.f64 (*.f64 (sqrt.f64 z) (/.f64 y x)) #s(literal 3 binary64)) #s(literal 1/8 binary64)) #s(literal 1/8 binary64)) (+.f64 (*.f64 (*.f64 z (pow.f64 (/.f64 y x) #s(literal 2 binary64))) #s(literal 1/4 binary64)) (-.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/4 binary64) (*.f64 (sqrt.f64 z) (/.f64 y x))))))
(/.f64 (neg.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 z (pow.f64 (/.f64 y x) #s(literal 2 binary64))) #s(literal 1/4 binary64)))) (neg.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 z) (/.f64 y x))))))
(/.f64 (neg.f64 (+.f64 (*.f64 (pow.f64 (*.f64 (sqrt.f64 z) (/.f64 y x)) #s(literal 3 binary64)) #s(literal 1/8 binary64)) #s(literal 1/8 binary64))) (neg.f64 (+.f64 #s(literal 1/4 binary64) (-.f64 (*.f64 (*.f64 z (pow.f64 (/.f64 y x) #s(literal 2 binary64))) #s(literal 1/4 binary64)) (*.f64 #s(literal 1/4 binary64) (*.f64 (sqrt.f64 z) (/.f64 y x)))))))
(/.f64 (-.f64 (*.f64 (*.f64 z (pow.f64 (/.f64 y x) #s(literal 2 binary64))) #s(literal 1/4 binary64)) #s(literal 1/4 binary64)) (-.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) x) (*.f64 y (sqrt.f64 z))) #s(literal 1/2 binary64)))
(pow.f64 (fma.f64 (*.f64 y (sqrt.f64 z)) (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (fma.f64 (*.f64 y (sqrt.f64 z)) (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (fma.f64 (*.f64 y (sqrt.f64 z)) (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (fma.f64 (*.f64 y (sqrt.f64 z)) (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (fma.f64 (*.f64 y (sqrt.f64 z)) (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64)) #s(literal 2 binary64)))
(log.f64 (exp.f64 (fma.f64 (*.f64 y (sqrt.f64 z)) (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 (*.f64 y (sqrt.f64 z)) (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64)))))
(cbrt.f64 (pow.f64 (fma.f64 (*.f64 y (sqrt.f64 z)) (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (fma.f64 (*.f64 y (sqrt.f64 z)) (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64))))
(log1p.f64 (expm1.f64 (fma.f64 (*.f64 y (sqrt.f64 z)) (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64))))
(exp.f64 (log.f64 (fma.f64 (*.f64 y (sqrt.f64 z)) (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64))))
(exp.f64 (*.f64 (log.f64 (fma.f64 (*.f64 y (sqrt.f64 z)) (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64))) #s(literal 1 binary64)))
(fma.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 z) (/.f64 y x)) #s(literal 1/2 binary64))
(fma.f64 y (*.f64 (sqrt.f64 z) (/.f64 #s(literal 1/2 binary64) x)) #s(literal 1/2 binary64))
(fma.f64 (*.f64 (sqrt.f64 z) (/.f64 #s(literal 1/2 binary64) x)) y #s(literal 1/2 binary64))
(fma.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1/2 binary64) x) (*.f64 y (sqrt.f64 z))) #s(literal 1/2 binary64))
(fma.f64 (*.f64 (sqrt.f64 z) (/.f64 y x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
(fma.f64 (*.f64 y (sqrt.f64 z)) (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64))
(fma.f64 (cbrt.f64 (*.f64 (*.f64 z (pow.f64 (/.f64 y x) #s(literal 2 binary64))) #s(literal 1/4 binary64))) (cbrt.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) x) (*.f64 y (sqrt.f64 z)))) #s(literal 1/2 binary64))
(fma.f64 (sqrt.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) x) (*.f64 y (sqrt.f64 z)))) (sqrt.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) x) (*.f64 y (sqrt.f64 z)))) #s(literal 1/2 binary64))
(fma.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 y x)) (sqrt.f64 z) #s(literal 1/2 binary64))
Outputs
(*.f64 x (pow.f64 (cbrt.f64 #s(literal 1/2 binary64)) #s(literal 3 binary64)))
(*.f64 x #s(literal 1/2 binary64))
(+.f64 (*.f64 x (pow.f64 (cbrt.f64 #s(literal 1/2 binary64)) #s(literal 3 binary64))) (*.f64 (*.f64 y (pow.f64 (cbrt.f64 #s(literal 1/2 binary64)) #s(literal 3 binary64))) (sqrt.f64 z)))
(*.f64 #s(literal 1/2 binary64) (fma.f64 y (sqrt.f64 z) x))
(+.f64 (*.f64 x (pow.f64 (cbrt.f64 #s(literal 1/2 binary64)) #s(literal 3 binary64))) (*.f64 (*.f64 y (pow.f64 (cbrt.f64 #s(literal 1/2 binary64)) #s(literal 3 binary64))) (sqrt.f64 z)))
(*.f64 #s(literal 1/2 binary64) (fma.f64 y (sqrt.f64 z) x))
(+.f64 (*.f64 x (pow.f64 (cbrt.f64 #s(literal 1/2 binary64)) #s(literal 3 binary64))) (*.f64 (*.f64 y (pow.f64 (cbrt.f64 #s(literal 1/2 binary64)) #s(literal 3 binary64))) (sqrt.f64 z)))
(*.f64 #s(literal 1/2 binary64) (fma.f64 y (sqrt.f64 z) x))
(*.f64 (*.f64 y (pow.f64 (cbrt.f64 #s(literal 1/2 binary64)) #s(literal 3 binary64))) (sqrt.f64 z))
(*.f64 #s(literal 1/2 binary64) (*.f64 y (sqrt.f64 z)))
(*.f64 (sqrt.f64 z) (*.f64 #s(literal 1/2 binary64) y))
(*.f64 y (+.f64 (*.f64 (sqrt.f64 z) (pow.f64 (cbrt.f64 #s(literal 1/2 binary64)) #s(literal 3 binary64))) (/.f64 (*.f64 x (pow.f64 (cbrt.f64 #s(literal 1/2 binary64)) #s(literal 3 binary64))) y)))
(*.f64 y (*.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 z) (/.f64 x y))))
(*.f64 y (+.f64 (*.f64 (sqrt.f64 z) (pow.f64 (cbrt.f64 #s(literal 1/2 binary64)) #s(literal 3 binary64))) (/.f64 (*.f64 x (pow.f64 (cbrt.f64 #s(literal 1/2 binary64)) #s(literal 3 binary64))) y)))
(*.f64 y (*.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 z) (/.f64 x y))))
(*.f64 y (+.f64 (*.f64 (sqrt.f64 z) (pow.f64 (cbrt.f64 #s(literal 1/2 binary64)) #s(literal 3 binary64))) (/.f64 (*.f64 x (pow.f64 (cbrt.f64 #s(literal 1/2 binary64)) #s(literal 3 binary64))) y)))
(*.f64 y (*.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 z) (/.f64 x y))))
(*.f64 (*.f64 y (pow.f64 (cbrt.f64 #s(literal 1/2 binary64)) #s(literal 3 binary64))) (sqrt.f64 z))
(*.f64 #s(literal 1/2 binary64) (*.f64 y (sqrt.f64 z)))
(*.f64 (sqrt.f64 z) (*.f64 #s(literal 1/2 binary64) y))
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 z) (pow.f64 (cbrt.f64 #s(literal 1/2 binary64)) #s(literal 3 binary64)))) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x (pow.f64 (cbrt.f64 #s(literal 1/2 binary64)) #s(literal 3 binary64))) y)))))
(*.f64 (neg.f64 y) (*.f64 #s(literal -1 binary64) (*.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 z) (/.f64 x y)))))
(*.f64 y (neg.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 (sqrt.f64 z) (/.f64 x y)))))
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 z) (pow.f64 (cbrt.f64 #s(literal 1/2 binary64)) #s(literal 3 binary64)))) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x (pow.f64 (cbrt.f64 #s(literal 1/2 binary64)) #s(literal 3 binary64))) y)))))
(*.f64 (neg.f64 y) (*.f64 #s(literal -1 binary64) (*.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 z) (/.f64 x y)))))
(*.f64 y (neg.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 (sqrt.f64 z) (/.f64 x y)))))
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 z) (pow.f64 (cbrt.f64 #s(literal 1/2 binary64)) #s(literal 3 binary64)))) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x (pow.f64 (cbrt.f64 #s(literal 1/2 binary64)) #s(literal 3 binary64))) y)))))
(*.f64 (neg.f64 y) (*.f64 #s(literal -1 binary64) (*.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 z) (/.f64 x y)))))
(*.f64 y (neg.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 (sqrt.f64 z) (/.f64 x y)))))
(*.f64 (pow.f64 (cbrt.f64 #s(literal 1/2 binary64)) #s(literal 3 binary64)) (+.f64 x (*.f64 y (sqrt.f64 z))))
(*.f64 #s(literal 1/2 binary64) (fma.f64 y (sqrt.f64 z) x))
(*.f64 (pow.f64 (cbrt.f64 #s(literal 1/2 binary64)) #s(literal 3 binary64)) (+.f64 x (*.f64 y (sqrt.f64 z))))
(*.f64 #s(literal 1/2 binary64) (fma.f64 y (sqrt.f64 z) x))
(*.f64 (pow.f64 (cbrt.f64 #s(literal 1/2 binary64)) #s(literal 3 binary64)) (+.f64 x (*.f64 y (sqrt.f64 z))))
(*.f64 #s(literal 1/2 binary64) (fma.f64 y (sqrt.f64 z) x))
(*.f64 (pow.f64 (cbrt.f64 #s(literal 1/2 binary64)) #s(literal 3 binary64)) (+.f64 x (*.f64 y (sqrt.f64 z))))
(*.f64 #s(literal 1/2 binary64) (fma.f64 y (sqrt.f64 z) x))
(*.f64 (*.f64 y (pow.f64 (cbrt.f64 #s(literal 1/2 binary64)) #s(literal 3 binary64))) (sqrt.f64 z))
(*.f64 #s(literal 1/2 binary64) (*.f64 y (sqrt.f64 z)))
(*.f64 (sqrt.f64 z) (*.f64 #s(literal 1/2 binary64) y))
(*.f64 z (+.f64 (*.f64 (*.f64 y (pow.f64 (cbrt.f64 #s(literal 1/2 binary64)) #s(literal 3 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) (/.f64 (*.f64 x (pow.f64 (cbrt.f64 #s(literal 1/2 binary64)) #s(literal 3 binary64))) z)))
(*.f64 z (*.f64 #s(literal 1/2 binary64) (+.f64 (*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) (/.f64 x z))))
(*.f64 z (*.f64 #s(literal 1/2 binary64) (fma.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (/.f64 x z))))
(*.f64 z (+.f64 (*.f64 (*.f64 y (pow.f64 (cbrt.f64 #s(literal 1/2 binary64)) #s(literal 3 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) (/.f64 (*.f64 x (pow.f64 (cbrt.f64 #s(literal 1/2 binary64)) #s(literal 3 binary64))) z)))
(*.f64 z (*.f64 #s(literal 1/2 binary64) (+.f64 (*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) (/.f64 x z))))
(*.f64 z (*.f64 #s(literal 1/2 binary64) (fma.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (/.f64 x z))))
(*.f64 z (+.f64 (*.f64 (*.f64 y (pow.f64 (cbrt.f64 #s(literal 1/2 binary64)) #s(literal 3 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) (/.f64 (*.f64 x (pow.f64 (cbrt.f64 #s(literal 1/2 binary64)) #s(literal 3 binary64))) z)))
(*.f64 z (*.f64 #s(literal 1/2 binary64) (+.f64 (*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) (/.f64 x z))))
(*.f64 z (*.f64 #s(literal 1/2 binary64) (fma.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (/.f64 x z))))
(*.f64 #s(literal -1 binary64) (*.f64 (*.f64 y (*.f64 (pow.f64 (cbrt.f64 #s(literal 1/2 binary64)) #s(literal 3 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))) (sqrt.f64 z)))
(neg.f64 (*.f64 y (*.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (sqrt.f64 z))))
(*.f64 y (neg.f64 (*.f64 (sqrt.f64 z) #s(literal -1/2 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x (pow.f64 (cbrt.f64 #s(literal 1/2 binary64)) #s(literal 3 binary64))) z)) (*.f64 (*.f64 y (*.f64 (pow.f64 (cbrt.f64 #s(literal 1/2 binary64)) #s(literal 3 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) z))))))
(*.f64 (neg.f64 z) (fma.f64 #s(literal -1 binary64) (*.f64 x (/.f64 #s(literal 1/2 binary64) z)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (*.f64 y (*.f64 #s(literal 1/2 binary64) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))))
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(*.f64 (fma.f64 (pow.f64 (/.f64 (*.f64 y (sqrt.f64 z)) x) #s(literal 3 binary64)) #s(literal 1/8 binary64) #s(literal 1/8 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/4 binary64) (+.f64 (*.f64 z (*.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal 1/4 binary64))) (*.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 y (sqrt.f64 z)) x))))))
(/.f64 (fma.f64 (pow.f64 (*.f64 y (/.f64 (sqrt.f64 z) x)) #s(literal 3 binary64)) #s(literal 1/8 binary64) #s(literal 1/8 binary64)) (+.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/4 binary64) (-.f64 (*.f64 z (pow.f64 (/.f64 y x) #s(literal 2 binary64))) (*.f64 y (/.f64 (sqrt.f64 z) x))))))
(/.f64 (+.f64 (*.f64 (pow.f64 (*.f64 (sqrt.f64 z) (/.f64 y x)) #s(literal 3 binary64)) #s(literal 1/8 binary64)) #s(literal 1/8 binary64)) (+.f64 (*.f64 (*.f64 z (pow.f64 (/.f64 y x) #s(literal 2 binary64))) #s(literal 1/4 binary64)) (-.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/4 binary64) (*.f64 (sqrt.f64 z) (/.f64 y x))))))
(*.f64 (fma.f64 (pow.f64 (/.f64 (*.f64 y (sqrt.f64 z)) x) #s(literal 3 binary64)) #s(literal 1/8 binary64) #s(literal 1/8 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/4 binary64) (+.f64 (*.f64 z (*.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal 1/4 binary64))) (*.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 y (sqrt.f64 z)) x))))))
(/.f64 (fma.f64 (pow.f64 (*.f64 y (/.f64 (sqrt.f64 z) x)) #s(literal 3 binary64)) #s(literal 1/8 binary64) #s(literal 1/8 binary64)) (+.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/4 binary64) (-.f64 (*.f64 z (pow.f64 (/.f64 y x) #s(literal 2 binary64))) (*.f64 y (/.f64 (sqrt.f64 z) x))))))
(/.f64 (neg.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 z (pow.f64 (/.f64 y x) #s(literal 2 binary64))) #s(literal 1/4 binary64)))) (neg.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 z) (/.f64 y x))))))
(neg.f64 (/.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 z (*.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal 1/4 binary64)))) (neg.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 y (sqrt.f64 z)) x))))))
(/.f64 (+.f64 #s(literal -1/4 binary64) (*.f64 z (*.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal 1/4 binary64)))) (fma.f64 (sqrt.f64 z) (/.f64 (*.f64 #s(literal 1/2 binary64) y) x) #s(literal -1/2 binary64)))
(/.f64 (neg.f64 (+.f64 (*.f64 (pow.f64 (*.f64 (sqrt.f64 z) (/.f64 y x)) #s(literal 3 binary64)) #s(literal 1/8 binary64)) #s(literal 1/8 binary64))) (neg.f64 (+.f64 #s(literal 1/4 binary64) (-.f64 (*.f64 (*.f64 z (pow.f64 (/.f64 y x) #s(literal 2 binary64))) #s(literal 1/4 binary64)) (*.f64 #s(literal 1/4 binary64) (*.f64 (sqrt.f64 z) (/.f64 y x)))))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 (/.f64 (*.f64 y (sqrt.f64 z)) x) #s(literal 3 binary64)) #s(literal 1/8 binary64) #s(literal 1/8 binary64))) (+.f64 #s(literal -1/4 binary64) (neg.f64 (+.f64 (*.f64 z (*.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal 1/4 binary64))) (*.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 y (sqrt.f64 z)) x))))))
(/.f64 (-.f64 #s(literal -1/8 binary64) (pow.f64 (*.f64 (sqrt.f64 z) (/.f64 (*.f64 #s(literal 1/2 binary64) y) x)) #s(literal 3 binary64))) (-.f64 #s(literal -1/4 binary64) (*.f64 #s(literal 1/4 binary64) (-.f64 (*.f64 z (pow.f64 (/.f64 y x) #s(literal 2 binary64))) (*.f64 y (/.f64 (sqrt.f64 z) x))))))
(/.f64 (-.f64 (*.f64 (*.f64 z (pow.f64 (/.f64 y x) #s(literal 2 binary64))) #s(literal 1/4 binary64)) #s(literal 1/4 binary64)) (-.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) x) (*.f64 y (sqrt.f64 z))) #s(literal 1/2 binary64)))
(/.f64 (fma.f64 (*.f64 z (pow.f64 (/.f64 y x) #s(literal 2 binary64))) #s(literal 1/4 binary64) #s(literal -1/4 binary64)) (fma.f64 (/.f64 #s(literal 1/2 binary64) x) (*.f64 y (sqrt.f64 z)) #s(literal -1/2 binary64)))
(/.f64 (fma.f64 z (*.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal 1/4 binary64)) #s(literal -1/4 binary64)) (fma.f64 (sqrt.f64 z) (/.f64 (*.f64 #s(literal 1/2 binary64) y) x) #s(literal -1/2 binary64)))
(pow.f64 (fma.f64 (*.f64 y (sqrt.f64 z)) (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 y (sqrt.f64 z)) x) #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) (fma.f64 y (/.f64 (sqrt.f64 z) x) #s(literal 1 binary64)))
(pow.f64 (cbrt.f64 (fma.f64 (*.f64 y (sqrt.f64 z)) (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64))) #s(literal 3 binary64))
(fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 y (sqrt.f64 z)) x) #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) (fma.f64 y (/.f64 (sqrt.f64 z) x) #s(literal 1 binary64)))
(pow.f64 (pow.f64 (fma.f64 (*.f64 y (sqrt.f64 z)) (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 y (sqrt.f64 z)) x) #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) (fma.f64 y (/.f64 (sqrt.f64 z) x) #s(literal 1 binary64)))
(pow.f64 (sqrt.f64 (fma.f64 (*.f64 y (sqrt.f64 z)) (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64))) #s(literal 2 binary64))
(fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 y (sqrt.f64 z)) x) #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) (fma.f64 y (/.f64 (sqrt.f64 z) x) #s(literal 1 binary64)))
(sqrt.f64 (pow.f64 (fma.f64 (*.f64 y (sqrt.f64 z)) (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64)) #s(literal 2 binary64)))
(sqrt.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 y (sqrt.f64 z)) x) #s(literal 1/2 binary64)) #s(literal 2 binary64)))
(fabs.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 y (/.f64 (sqrt.f64 z) x) #s(literal 1 binary64))))
(log.f64 (exp.f64 (fma.f64 (*.f64 y (sqrt.f64 z)) (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64))))
(fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 y (sqrt.f64 z)) x) #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) (fma.f64 y (/.f64 (sqrt.f64 z) x) #s(literal 1 binary64)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 (*.f64 y (sqrt.f64 z)) (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64)))))
(fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 y (sqrt.f64 z)) x) #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) (fma.f64 y (/.f64 (sqrt.f64 z) x) #s(literal 1 binary64)))
(cbrt.f64 (pow.f64 (fma.f64 (*.f64 y (sqrt.f64 z)) (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64)) #s(literal 3 binary64)))
(fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 y (sqrt.f64 z)) x) #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) (fma.f64 y (/.f64 (sqrt.f64 z) x) #s(literal 1 binary64)))
(expm1.f64 (log1p.f64 (fma.f64 (*.f64 y (sqrt.f64 z)) (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64))))
(expm1.f64 (log1p.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 y (sqrt.f64 z)) x) #s(literal 1/2 binary64))))
(expm1.f64 (log1p.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 y (/.f64 (sqrt.f64 z) x) #s(literal 1 binary64)))))
(log1p.f64 (expm1.f64 (fma.f64 (*.f64 y (sqrt.f64 z)) (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64))))
(fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 y (sqrt.f64 z)) x) #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) (fma.f64 y (/.f64 (sqrt.f64 z) x) #s(literal 1 binary64)))
(exp.f64 (log.f64 (fma.f64 (*.f64 y (sqrt.f64 z)) (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64))))
(fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 y (sqrt.f64 z)) x) #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) (fma.f64 y (/.f64 (sqrt.f64 z) x) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (fma.f64 (*.f64 y (sqrt.f64 z)) (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64))) #s(literal 1 binary64)))
(fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 y (sqrt.f64 z)) x) #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) (fma.f64 y (/.f64 (sqrt.f64 z) x) #s(literal 1 binary64)))
(fma.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 z) (/.f64 y x)) #s(literal 1/2 binary64))
(fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 y (sqrt.f64 z)) x) #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) (fma.f64 y (/.f64 (sqrt.f64 z) x) #s(literal 1 binary64)))
(fma.f64 y (*.f64 (sqrt.f64 z) (/.f64 #s(literal 1/2 binary64) x)) #s(literal 1/2 binary64))
(fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 y (sqrt.f64 z)) x) #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) (fma.f64 y (/.f64 (sqrt.f64 z) x) #s(literal 1 binary64)))
(fma.f64 (*.f64 (sqrt.f64 z) (/.f64 #s(literal 1/2 binary64) x)) y #s(literal 1/2 binary64))
(fma.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (sqrt.f64 z) x)) y #s(literal 1/2 binary64))
(fma.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1/2 binary64) x) (*.f64 y (sqrt.f64 z))) #s(literal 1/2 binary64))
(fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 y (sqrt.f64 z)) x) #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) (fma.f64 y (/.f64 (sqrt.f64 z) x) #s(literal 1 binary64)))
(fma.f64 (*.f64 (sqrt.f64 z) (/.f64 y x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
(fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 y (sqrt.f64 z)) x) #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) (fma.f64 y (/.f64 (sqrt.f64 z) x) #s(literal 1 binary64)))
(fma.f64 (*.f64 y (sqrt.f64 z)) (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64))
(fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 y (sqrt.f64 z)) x) #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) (fma.f64 y (/.f64 (sqrt.f64 z) x) #s(literal 1 binary64)))
(fma.f64 (cbrt.f64 (*.f64 (*.f64 z (pow.f64 (/.f64 y x) #s(literal 2 binary64))) #s(literal 1/4 binary64))) (cbrt.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) x) (*.f64 y (sqrt.f64 z)))) #s(literal 1/2 binary64))
(fma.f64 (cbrt.f64 (*.f64 z (*.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal 1/4 binary64)))) (cbrt.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 y (sqrt.f64 z)) x))) #s(literal 1/2 binary64))
(fma.f64 (cbrt.f64 (*.f64 z (*.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal 1/4 binary64)))) (cbrt.f64 (*.f64 (sqrt.f64 z) (/.f64 (*.f64 #s(literal 1/2 binary64) y) x))) #s(literal 1/2 binary64))
(fma.f64 (sqrt.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) x) (*.f64 y (sqrt.f64 z)))) (sqrt.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) x) (*.f64 y (sqrt.f64 z)))) #s(literal 1/2 binary64))
(fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 y (sqrt.f64 z)) x) #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) (fma.f64 y (/.f64 (sqrt.f64 z) x) #s(literal 1 binary64)))
(fma.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 y x)) (sqrt.f64 z) #s(literal 1/2 binary64))
(fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 y (sqrt.f64 z)) x) #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) (fma.f64 y (/.f64 (sqrt.f64 z) x) #s(literal 1 binary64)))

eval304.0ms (1.5%)

Compiler

Compiled 16361 to 3390 computations (79.3% saved)

prune330.0ms (1.6%)

Pruning

17 alts after pruning (11 fresh and 6 done)

PrunedKeptTotal
New80710817
Fresh415
Picked145
Done224
Total81417831
Accuracy
100.0%
Counts
831 → 17
Alt Table
Click to see full alt table
StatusAccuracyProgram
63.5%
(/.f64 (*.f64 (-.f64 z (pow.f64 (/.f64 x y) #s(literal 2 binary64))) (*.f64 #s(literal 1/2 binary64) y)) (-.f64 (sqrt.f64 z) (/.f64 x y)))
49.5%
(*.f64 (pow.f64 (pow.f64 z #s(literal 1/4 binary64)) #s(literal 2 binary64)) (*.f64 y #s(literal 1/2 binary64)))
38.7%
(*.f64 (*.f64 y #s(literal 1/2 binary64)) (/.f64 x y))
86.9%
(*.f64 (*.f64 y #s(literal 1/2 binary64)) (+.f64 (sqrt.f64 z) (/.f64 x y)))
86.8%
(*.f64 (*.f64 y #s(literal 1/2 binary64)) (+.f64 (sqrt.f64 z) (*.f64 (/.f64 #s(literal 1 binary64) y) x)))
73.9%
(*.f64 (*.f64 y #s(literal 1/2 binary64)) (*.f64 z (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (/.f64 x (*.f64 y z)))))
49.6%
(*.f64 (sqrt.f64 z) (*.f64 y #s(literal 1/2 binary64)))
36.2%
(*.f64 (cbrt.f64 (pow.f64 z #s(literal 3/2 binary64))) (*.f64 y #s(literal 1/2 binary64)))
80.4%
(*.f64 z (*.f64 #s(literal 1/2 binary64) (+.f64 (*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) (/.f64 x z))))
87.8%
(*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 y (/.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 z)) x))))
87.8%
(*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 y (*.f64 (sqrt.f64 z) (/.f64 #s(literal 1/2 binary64) x)))))
87.5%
(*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) y) (sqrt.f64 z)))))
87.7%
(*.f64 x (*.f64 y (+.f64 (/.f64 #s(literal 1/2 binary64) y) (*.f64 #s(literal 1/2 binary64) (/.f64 (sqrt.f64 z) x)))))
37.4%
(*.f64 x (*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 y x) (sqrt.f64 z))))
99.8%
(*.f64 #s(literal 1/2 binary64) (+.f64 x (*.f64 y (sqrt.f64 z))))
51.5%
(*.f64 #s(literal 1/2 binary64) x)
14.2%
(sqrt.f64 (*.f64 (*.f64 z (pow.f64 y #s(literal 2 binary64))) #s(literal 1/4 binary64)))
Compiler

Compiled 393 to 279 computations (29% saved)

simplify453.0ms (2.2%)

Algorithm
egg-herbie
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
cost-diff0
(pow.f64 y #s(literal 2 binary64))
cost-diff0
(*.f64 z (pow.f64 y #s(literal 2 binary64)))
cost-diff0
(*.f64 (*.f64 z (pow.f64 y #s(literal 2 binary64))) #s(literal 1/4 binary64))
cost-diff0
(sqrt.f64 (*.f64 (*.f64 z (pow.f64 y #s(literal 2 binary64))) #s(literal 1/4 binary64)))
cost-diff0
(/.f64 x z)
cost-diff0
(/.f64 #s(literal 1 binary64) z)
cost-diff0
(sqrt.f64 (/.f64 #s(literal 1 binary64) z))
cost-diff0
(*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))
cost-diff0
(sqrt.f64 z)
cost-diff0
(*.f64 y #s(literal 1/2 binary64))
cost-diff128
(*.f64 (/.f64 #s(literal 1 binary64) y) x)
cost-diff128
(+.f64 (sqrt.f64 z) (*.f64 (/.f64 #s(literal 1 binary64) y) x))
cost-diff0
(/.f64 x y)
cost-diff0
(*.f64 y #s(literal 1/2 binary64))
cost-diff256
(*.f64 (*.f64 y #s(literal 1/2 binary64)) (/.f64 x y))
cost-diff0
(sqrt.f64 z)
cost-diff0
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 z))
cost-diff0
(/.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 z)) x)
cost-diff0
(*.f64 y (/.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 z)) x))
Rules
1545×associate-/r/
1108×fma-define
751×swap-sqr
731×cube-prod
512×*-commutative
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
038668
195650
2238650
3587602
41148593
51682593
63451593
74491593
85401593
95859593
106511593
117417593
Stop Event
node limit
Calls
Call 1
Inputs
(*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 y (/.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 z)) x))))
x
(+.f64 #s(literal 1/2 binary64) (*.f64 y (/.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 z)) x)))
#s(literal 1/2 binary64)
(*.f64 y (/.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 z)) x))
y
(/.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 z)) x)
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 z))
(sqrt.f64 z)
z
(*.f64 (*.f64 y #s(literal 1/2 binary64)) (/.f64 x y))
(*.f64 y #s(literal 1/2 binary64))
y
#s(literal 1/2 binary64)
(/.f64 x y)
x
(*.f64 (*.f64 y #s(literal 1/2 binary64)) (+.f64 (sqrt.f64 z) (*.f64 (/.f64 #s(literal 1 binary64) y) x)))
(*.f64 y #s(literal 1/2 binary64))
y
#s(literal 1/2 binary64)
(+.f64 (sqrt.f64 z) (*.f64 (/.f64 #s(literal 1 binary64) y) x))
(sqrt.f64 z)
z
(*.f64 (/.f64 #s(literal 1 binary64) y) x)
(/.f64 #s(literal 1 binary64) y)
#s(literal 1 binary64)
x
(*.f64 z (*.f64 #s(literal 1/2 binary64) (+.f64 (*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) (/.f64 x z))))
z
(*.f64 #s(literal 1/2 binary64) (+.f64 (*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) (/.f64 x z)))
#s(literal 1/2 binary64)
(+.f64 (*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) (/.f64 x z))
(*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))
y
(sqrt.f64 (/.f64 #s(literal 1 binary64) z))
(/.f64 #s(literal 1 binary64) z)
#s(literal 1 binary64)
(/.f64 x z)
x
(sqrt.f64 (*.f64 (*.f64 z (pow.f64 y #s(literal 2 binary64))) #s(literal 1/4 binary64)))
(*.f64 (*.f64 z (pow.f64 y #s(literal 2 binary64))) #s(literal 1/4 binary64))
(*.f64 z (pow.f64 y #s(literal 2 binary64)))
z
(pow.f64 y #s(literal 2 binary64))
y
#s(literal 2 binary64)
#s(literal 1/4 binary64)
Outputs
(*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 y (/.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 z)) x))))
(*.f64 x (fma.f64 y (*.f64 #s(literal 1/2 binary64) (/.f64 (sqrt.f64 z) x)) #s(literal 1/2 binary64)))
(*.f64 x (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 y (sqrt.f64 z)) x) #s(literal 1/2 binary64)))
(*.f64 #s(literal 1/2 binary64) (fma.f64 y (sqrt.f64 z) x))
x
(+.f64 #s(literal 1/2 binary64) (*.f64 y (/.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 z)) x)))
(fma.f64 y (*.f64 #s(literal 1/2 binary64) (/.f64 (sqrt.f64 z) x)) #s(literal 1/2 binary64))
(fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 y (sqrt.f64 z)) x) #s(literal 1/2 binary64))
(fma.f64 (*.f64 y (sqrt.f64 z)) (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) (fma.f64 y (/.f64 (sqrt.f64 z) x) #s(literal 1 binary64)))
(fma.f64 (sqrt.f64 z) (*.f64 #s(literal 1/2 binary64) (/.f64 y x)) #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
(*.f64 y (/.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 z)) x))
(*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 (sqrt.f64 z) x) y))
(*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 y (sqrt.f64 z)) x))
(*.f64 #s(literal 1/2 binary64) (*.f64 y (/.f64 (sqrt.f64 z) x)))
y
(/.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 z)) x)
(*.f64 #s(literal 1/2 binary64) (/.f64 (sqrt.f64 z) x))
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 z))
(sqrt.f64 z)
z
(*.f64 (*.f64 y #s(literal 1/2 binary64)) (/.f64 x y))
(*.f64 (*.f64 #s(literal 1/2 binary64) y) (/.f64 x y))
(*.f64 x #s(literal 1/2 binary64))
(*.f64 y #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) y)
y
#s(literal 1/2 binary64)
(/.f64 x y)
x
(*.f64 (*.f64 y #s(literal 1/2 binary64)) (+.f64 (sqrt.f64 z) (*.f64 (/.f64 #s(literal 1 binary64) y) x)))
(*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 y (/.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 z)) x))))
(*.f64 x (fma.f64 y (*.f64 #s(literal 1/2 binary64) (/.f64 (sqrt.f64 z) x)) #s(literal 1/2 binary64)))
(*.f64 x (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 y (sqrt.f64 z)) x) #s(literal 1/2 binary64)))
(*.f64 #s(literal 1/2 binary64) (fma.f64 y (sqrt.f64 z) x))
(*.f64 y #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) y)
y
#s(literal 1/2 binary64)
(+.f64 (sqrt.f64 z) (*.f64 (/.f64 #s(literal 1 binary64) y) x))
(+.f64 (sqrt.f64 z) (*.f64 x (/.f64 #s(literal 1 binary64) y)))
(+.f64 (sqrt.f64 z) (/.f64 x y))
(sqrt.f64 z)
z
(*.f64 (/.f64 #s(literal 1 binary64) y) x)
(/.f64 x y)
(/.f64 #s(literal 1 binary64) y)
#s(literal 1 binary64)
x
(*.f64 z (*.f64 #s(literal 1/2 binary64) (+.f64 (*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) (/.f64 x z))))
(*.f64 z (*.f64 #s(literal 1/2 binary64) (fma.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (/.f64 x z))))
(*.f64 (fma.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (/.f64 x z)) (*.f64 #s(literal 1/2 binary64) z))
(*.f64 #s(literal 1/2 binary64) (fma.f64 y (*.f64 z (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) x))
(*.f64 #s(literal 1/2 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (*.f64 y z) x))
z
(*.f64 #s(literal 1/2 binary64) (+.f64 (*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) (/.f64 x z)))
(*.f64 #s(literal 1/2 binary64) (fma.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (/.f64 x z)))
#s(literal 1/2 binary64)
(+.f64 (*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) (/.f64 x z))
(fma.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (/.f64 x z))
(*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))
y
(sqrt.f64 (/.f64 #s(literal 1 binary64) z))
(/.f64 #s(literal 1 binary64) z)
#s(literal 1 binary64)
(/.f64 x z)
x
(sqrt.f64 (*.f64 (*.f64 z (pow.f64 y #s(literal 2 binary64))) #s(literal 1/4 binary64)))
(sqrt.f64 (*.f64 z (*.f64 (pow.f64 y #s(literal 2 binary64)) #s(literal 1/4 binary64))))
(sqrt.f64 (*.f64 z (*.f64 #s(literal 1/4 binary64) (pow.f64 y #s(literal 2 binary64)))))
(*.f64 (*.f64 z (pow.f64 y #s(literal 2 binary64))) #s(literal 1/4 binary64))
(*.f64 z (*.f64 (pow.f64 y #s(literal 2 binary64)) #s(literal 1/4 binary64)))
(*.f64 z (*.f64 #s(literal 1/4 binary64) (pow.f64 y #s(literal 2 binary64))))
(*.f64 z (pow.f64 y #s(literal 2 binary64)))
z
(pow.f64 y #s(literal 2 binary64))
y
#s(literal 2 binary64)
#s(literal 1/4 binary64)

localize354.0ms (1.7%)

Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(pow.f64 y #s(literal 2 binary64))
accuracy100.0%
(*.f64 (*.f64 z (pow.f64 y #s(literal 2 binary64))) #s(literal 1/4 binary64))
accuracy88.8%
(*.f64 z (pow.f64 y #s(literal 2 binary64)))
accuracy63.5%
(sqrt.f64 (*.f64 (*.f64 z (pow.f64 y #s(literal 2 binary64))) #s(literal 1/4 binary64)))
accuracy99.8%
(sqrt.f64 (/.f64 #s(literal 1 binary64) z))
accuracy99.7%
(*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))
accuracy97.8%
(+.f64 (*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) (/.f64 x z))
accuracy80.6%
(*.f64 z (*.f64 #s(literal 1/2 binary64) (+.f64 (*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) (/.f64 x z))))
accuracy100.0%
(sqrt.f64 z)
accuracy100.0%
(+.f64 (sqrt.f64 z) (*.f64 (/.f64 #s(literal 1 binary64) y) x))
accuracy99.7%
(*.f64 (/.f64 #s(literal 1 binary64) y) x)
accuracy86.9%
(*.f64 (*.f64 y #s(literal 1/2 binary64)) (+.f64 (sqrt.f64 z) (*.f64 (/.f64 #s(literal 1 binary64) y) x)))
accuracy100.0%
(/.f64 x y)
accuracy100.0%
(*.f64 y #s(literal 1/2 binary64))
accuracy77.1%
(*.f64 (*.f64 y #s(literal 1/2 binary64)) (/.f64 x y))
accuracy100.0%
(+.f64 #s(literal 1/2 binary64) (*.f64 y (/.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 z)) x)))
accuracy99.6%
(/.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 z)) x)
accuracy94.9%
(*.f64 y (/.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 z)) x))
accuracy90.2%
(*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 y (/.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 z)) x))))
Results
253.0ms256×0valid
Compiler

Compiled 188 to 32 computations (83% saved)

Precisions
Click to see histograms. Total time spent on operations: 113.0ms
ival-mult: 56.0ms (49.6% of total)
ival-div: 26.0ms (23% of total)
ival-sqrt: 14.0ms (12.4% of total)
ival-add: 9.0ms (8% of total)
ival-pow: 6.0ms (5.3% of total)
const: 2.0ms (1.8% of total)
backward-pass: 0.0ms (0% of total)

series113.0ms (0.6%)

Counts
19 → 399
Calls
Call 1
Inputs
#<alt (*.f64 y (/.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 z)) x))>
#<alt (/.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 z)) x)>
#<alt (*.f64 #s(literal 1/2 binary64) (sqrt.f64 z))>
#<alt (*.f64 (*.f64 y #s(literal 1/2 binary64)) (/.f64 x y))>
#<alt (+.f64 (sqrt.f64 z) (*.f64 (/.f64 #s(literal 1 binary64) y) x))>
#<alt (*.f64 (/.f64 #s(literal 1 binary64) y) x)>
#<alt (*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))>
#<alt (sqrt.f64 (/.f64 #s(literal 1 binary64) z))>
#<alt (/.f64 #s(literal 1 binary64) z)>
#<alt (/.f64 x z)>
#<alt (sqrt.f64 (*.f64 (*.f64 z (pow.f64 y #s(literal 2 binary64))) #s(literal 1/4 binary64)))>
#<alt (*.f64 (*.f64 z (pow.f64 y #s(literal 2 binary64))) #s(literal 1/4 binary64))>
#<alt (*.f64 z (pow.f64 y #s(literal 2 binary64)))>
#<alt (pow.f64 y #s(literal 2 binary64))>
#<alt (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 y (/.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 z)) x))))>
#<alt (+.f64 #s(literal 1/2 binary64) (*.f64 y (/.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 z)) x)))>
#<alt (*.f64 (*.f64 y #s(literal 1/2 binary64)) (+.f64 (sqrt.f64 z) (*.f64 (/.f64 #s(literal 1 binary64) y) x)))>
#<alt (*.f64 z (*.f64 #s(literal 1/2 binary64) (+.f64 (*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) (/.f64 x z))))>
#<alt (+.f64 (*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) (/.f64 x z))>
Outputs
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 y x) (sqrt.f64 z)))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 y x) (sqrt.f64 z)))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 y x) (sqrt.f64 z)))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 y x) (sqrt.f64 z)))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 y x) (sqrt.f64 z)))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 y x) (sqrt.f64 z)))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 y x) (sqrt.f64 z)))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 y x) (sqrt.f64 z)))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 y x) (sqrt.f64 z)))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 y x) (sqrt.f64 z)))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 y x) (sqrt.f64 z)))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 y x) (sqrt.f64 z)))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 y x) (sqrt.f64 z)))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 y x) (sqrt.f64 z)))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 y x) (sqrt.f64 z)))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 y x) (sqrt.f64 z)))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 y x) (sqrt.f64 z)))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 y x) (sqrt.f64 z)))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 y x) (sqrt.f64 z)))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 y x) (sqrt.f64 z)))>
#<alt (*.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) x) (sqrt.f64 z)))>
#<alt (*.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) x) (sqrt.f64 z)))>
#<alt (*.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) x) (sqrt.f64 z)))>
#<alt (*.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) x) (sqrt.f64 z)))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 y x) (sqrt.f64 z)))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 y x) (sqrt.f64 z)))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 y x) (sqrt.f64 z)))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 y x) (sqrt.f64 z)))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 y x) (sqrt.f64 z)))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 y x) (sqrt.f64 z)))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 y x) (sqrt.f64 z)))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 y x) (sqrt.f64 z)))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 y x) (sqrt.f64 z)))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 y x) (sqrt.f64 z)))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 y x) (sqrt.f64 z)))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 y x) (sqrt.f64 z)))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 z)))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 z)))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 z)))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 z)))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 z)))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 z)))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 z)))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 z)))>
#<alt (*.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) x) (sqrt.f64 z)))>
#<alt (*.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) x) (sqrt.f64 z)))>
#<alt (*.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) x) (sqrt.f64 z)))>
#<alt (*.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) x) (sqrt.f64 z)))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 z)))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 z)))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 z)))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 z)))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 z)))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 z)))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 z)))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 z)))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 z)))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 z)))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 z)))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 z)))>
#<alt (*.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 z) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 z) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 z) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 z) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal 1/2 binary64) x)>
#<alt (*.f64 #s(literal 1/2 binary64) x)>
#<alt (*.f64 #s(literal 1/2 binary64) x)>
#<alt (*.f64 #s(literal 1/2 binary64) x)>
#<alt (*.f64 #s(literal 1/2 binary64) x)>
#<alt (*.f64 #s(literal 1/2 binary64) x)>
#<alt (*.f64 #s(literal 1/2 binary64) x)>
#<alt (*.f64 #s(literal 1/2 binary64) x)>
#<alt (*.f64 #s(literal 1/2 binary64) x)>
#<alt (*.f64 #s(literal 1/2 binary64) x)>
#<alt (*.f64 #s(literal 1/2 binary64) x)>
#<alt (*.f64 #s(literal 1/2 binary64) x)>
#<alt (*.f64 #s(literal 1/2 binary64) x)>
#<alt (*.f64 #s(literal 1/2 binary64) x)>
#<alt (*.f64 #s(literal 1/2 binary64) x)>
#<alt (*.f64 #s(literal 1/2 binary64) x)>
#<alt (*.f64 #s(literal 1/2 binary64) x)>
#<alt (*.f64 #s(literal 1/2 binary64) x)>
#<alt (*.f64 #s(literal 1/2 binary64) x)>
#<alt (*.f64 #s(literal 1/2 binary64) x)>
#<alt (*.f64 #s(literal 1/2 binary64) x)>
#<alt (*.f64 #s(literal 1/2 binary64) x)>
#<alt (*.f64 #s(literal 1/2 binary64) x)>
#<alt (*.f64 #s(literal 1/2 binary64) x)>
#<alt (+.f64 (sqrt.f64 z) (/.f64 x y))>
#<alt (+.f64 (sqrt.f64 z) (/.f64 x y))>
#<alt (+.f64 (sqrt.f64 z) (/.f64 x y))>
#<alt (+.f64 (sqrt.f64 z) (/.f64 x y))>
#<alt (sqrt.f64 z)>
#<alt (*.f64 z (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (/.f64 x (*.f64 y z))))>
#<alt (*.f64 z (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (/.f64 x (*.f64 y z))))>
#<alt (*.f64 z (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (/.f64 x (*.f64 y z))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 z) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x (*.f64 y z))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x (*.f64 y z))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x (*.f64 y z))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))))>
#<alt (/.f64 x y)>
#<alt (/.f64 (+.f64 x (*.f64 y (sqrt.f64 z))) y)>
#<alt (/.f64 (+.f64 x (*.f64 y (sqrt.f64 z))) y)>
#<alt (/.f64 (+.f64 x (*.f64 y (sqrt.f64 z))) y)>
#<alt (sqrt.f64 z)>
#<alt (+.f64 (sqrt.f64 z) (/.f64 x y))>
#<alt (+.f64 (sqrt.f64 z) (/.f64 x y))>
#<alt (+.f64 (sqrt.f64 z) (/.f64 x y))>
#<alt (sqrt.f64 z)>
#<alt (+.f64 (sqrt.f64 z) (/.f64 x y))>
#<alt (+.f64 (sqrt.f64 z) (/.f64 x y))>
#<alt (+.f64 (sqrt.f64 z) (/.f64 x y))>
#<alt (sqrt.f64 z)>
#<alt (+.f64 (sqrt.f64 z) (/.f64 x y))>
#<alt (+.f64 (sqrt.f64 z) (/.f64 x y))>
#<alt (+.f64 (sqrt.f64 z) (/.f64 x y))>
#<alt (/.f64 x y)>
#<alt (*.f64 x (+.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 z)) (/.f64 #s(literal 1 binary64) y)))>
#<alt (*.f64 x (+.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 z)) (/.f64 #s(literal 1 binary64) y)))>
#<alt (*.f64 x (+.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 z)) (/.f64 #s(literal 1 binary64) y)))>
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#<alt (*.f64 y (+.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 z)) (*.f64 #s(literal 1/2 binary64) (/.f64 x y))))>
#<alt (*.f64 y (+.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 z)) (*.f64 #s(literal 1/2 binary64) (/.f64 x y))))>
#<alt (*.f64 y (+.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 z)) (*.f64 #s(literal 1/2 binary64) (/.f64 x y))))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 y (sqrt.f64 z)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 z)) (*.f64 #s(literal -1/2 binary64) (/.f64 x y)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 z)) (*.f64 #s(literal -1/2 binary64) (/.f64 x y)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 z)) (*.f64 #s(literal -1/2 binary64) (/.f64 x y)))))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 y (+.f64 (sqrt.f64 z) (/.f64 x y))))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 y (+.f64 (sqrt.f64 z) (/.f64 x y))))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 y (+.f64 (sqrt.f64 z) (/.f64 x y))))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 y (+.f64 (sqrt.f64 z) (/.f64 x y))))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 y (sqrt.f64 z)))>
#<alt (*.f64 z (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))) (*.f64 #s(literal 1/2 binary64) (/.f64 x z))))>
#<alt (*.f64 z (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))) (*.f64 #s(literal 1/2 binary64) (/.f64 x z))))>
#<alt (*.f64 z (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))) (*.f64 #s(literal 1/2 binary64) (/.f64 x z))))>
#<alt (*.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (sqrt.f64 z)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x z)) (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x z)) (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x z)) (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))))))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 y (sqrt.f64 z)))>
#<alt (+.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 #s(literal 1/2 binary64) (*.f64 y (sqrt.f64 z))))>
#<alt (+.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 #s(literal 1/2 binary64) (*.f64 y (sqrt.f64 z))))>
#<alt (+.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 #s(literal 1/2 binary64) (*.f64 y (sqrt.f64 z))))>
#<alt (*.f64 #s(literal 1/2 binary64) x)>
#<alt (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 y x) (sqrt.f64 z)))))>
#<alt (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 y x) (sqrt.f64 z)))))>
#<alt (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 y x) (sqrt.f64 z)))))>
#<alt (*.f64 #s(literal 1/2 binary64) x)>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 y x) (sqrt.f64 z))) #s(literal 1/2 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 y x) (sqrt.f64 z))) #s(literal 1/2 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 y x) (sqrt.f64 z))) #s(literal 1/2 binary64))))>
#<alt (*.f64 #s(literal 1/2 binary64) (+.f64 x (*.f64 y (sqrt.f64 z))))>
#<alt (*.f64 #s(literal 1/2 binary64) (+.f64 x (*.f64 y (sqrt.f64 z))))>
#<alt (*.f64 #s(literal 1/2 binary64) (+.f64 x (*.f64 y (sqrt.f64 z))))>
#<alt (*.f64 #s(literal 1/2 binary64) (+.f64 x (*.f64 y (sqrt.f64 z))))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 y (sqrt.f64 z)))>
#<alt (*.f64 z (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))) (*.f64 #s(literal 1/2 binary64) (/.f64 x z))))>
#<alt (*.f64 z (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))) (*.f64 #s(literal 1/2 binary64) (/.f64 x z))))>
#<alt (*.f64 z (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))) (*.f64 #s(literal 1/2 binary64) (/.f64 x z))))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (sqrt.f64 z)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))) (*.f64 #s(literal -1/2 binary64) (/.f64 x z)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))) (*.f64 #s(literal -1/2 binary64) (/.f64 x z)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))) (*.f64 #s(literal -1/2 binary64) (/.f64 x z)))))>
#<alt (*.f64 #s(literal 1/2 binary64) x)>
#<alt (+.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 #s(literal 1/2 binary64) (*.f64 y (sqrt.f64 z))))>
#<alt (+.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 #s(literal 1/2 binary64) (*.f64 y (sqrt.f64 z))))>
#<alt (+.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 #s(literal 1/2 binary64) (*.f64 y (sqrt.f64 z))))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 y (sqrt.f64 z)))>
#<alt (*.f64 y (+.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 z)) (*.f64 #s(literal 1/2 binary64) (/.f64 x y))))>
#<alt (*.f64 y (+.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 z)) (*.f64 #s(literal 1/2 binary64) (/.f64 x y))))>
#<alt (*.f64 y (+.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 z)) (*.f64 #s(literal 1/2 binary64) (/.f64 x y))))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 y (sqrt.f64 z)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 z)) (*.f64 #s(literal -1/2 binary64) (/.f64 x y)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 z)) (*.f64 #s(literal -1/2 binary64) (/.f64 x y)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 z)) (*.f64 #s(literal -1/2 binary64) (/.f64 x y)))))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 y (sqrt.f64 z)))>
#<alt (+.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 #s(literal 1/2 binary64) (*.f64 y (sqrt.f64 z))))>
#<alt (+.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 #s(literal 1/2 binary64) (*.f64 y (sqrt.f64 z))))>
#<alt (+.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 #s(literal 1/2 binary64) (*.f64 y (sqrt.f64 z))))>
#<alt (*.f64 #s(literal 1/2 binary64) x)>
#<alt (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 y x) (sqrt.f64 z)))))>
#<alt (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 y x) (sqrt.f64 z)))))>
#<alt (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 y x) (sqrt.f64 z)))))>
#<alt (*.f64 #s(literal 1/2 binary64) x)>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 y x) (sqrt.f64 z))) #s(literal 1/2 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 y x) (sqrt.f64 z))) #s(literal 1/2 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 y x) (sqrt.f64 z))) #s(literal 1/2 binary64))))>
#<alt (/.f64 x z)>
#<alt (*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))>
#<alt (*.f64 y (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (/.f64 x (*.f64 y z))))>
#<alt (*.f64 y (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (/.f64 x (*.f64 y z))))>
#<alt (*.f64 y (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (/.f64 x (*.f64 y z))))>
#<alt (*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) (*.f64 #s(literal -1 binary64) (/.f64 x (*.f64 y z))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) (*.f64 #s(literal -1 binary64) (/.f64 x (*.f64 y z))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) (*.f64 #s(literal -1 binary64) (/.f64 x (*.f64 y z))))))>
#<alt (/.f64 (+.f64 x (*.f64 y (sqrt.f64 z))) z)>
#<alt (/.f64 (+.f64 x (*.f64 y (sqrt.f64 z))) z)>
#<alt (/.f64 (+.f64 x (*.f64 y (sqrt.f64 z))) z)>
#<alt (/.f64 (+.f64 x (*.f64 y (sqrt.f64 z))) z)>
#<alt (*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))>
#<alt (*.f64 (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))>
#<alt (+.f64 (*.f64 (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) (/.f64 x z))>
#<alt (+.f64 (*.f64 (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) (/.f64 x z))>
#<alt (+.f64 (*.f64 (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) (/.f64 x z))>
#<alt (*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))>
#<alt (/.f64 x z)>
#<alt (*.f64 x (+.f64 (*.f64 (/.f64 y x) (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) (/.f64 #s(literal 1 binary64) z)))>
#<alt (*.f64 x (+.f64 (*.f64 (/.f64 y x) (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) (/.f64 #s(literal 1 binary64) z)))>
#<alt (*.f64 x (+.f64 (*.f64 (/.f64 y x) (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) (/.f64 #s(literal 1 binary64) z)))>
#<alt (/.f64 x z)>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (*.f64 (/.f64 y x) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))) (/.f64 #s(literal 1 binary64) z))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (*.f64 (/.f64 y x) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))) (/.f64 #s(literal 1 binary64) z))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (*.f64 (/.f64 y x) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))) (/.f64 #s(literal 1 binary64) z))))>
Calls

123 calls:

TimeVariablePointExpression
3.0ms
z
@-inf
(sqrt (* (* z (pow y 2)) 1/4))
2.0ms
y
@0
(* y (sqrt (/ 1 z)))
2.0ms
z
@0
(* (* z (pow y 2)) 1/4)
2.0ms
z
@0
(* z (* 1/2 (+ (* y (sqrt (/ 1 z))) (/ x z))))
2.0ms
z
@-inf
(* z (* 1/2 (+ (* y (sqrt (/ 1 z))) (/ x z))))

rewrite346.0ms (1.7%)

Algorithm
batch-egg-rewrite
Rules
336×associate-*r*
279×log1p-expm1-u
279×expm1-log1p-u
273×add-exp-log
273×add-log-exp
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
038494
1649462
Stop Event
node limit
Counts
19 → 468
Calls
Call 1
Inputs
(*.f64 y (/.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 z)) x))
(/.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 z)) x)
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 z))
(*.f64 (*.f64 y #s(literal 1/2 binary64)) (/.f64 x y))
(+.f64 (sqrt.f64 z) (*.f64 (/.f64 #s(literal 1 binary64) y) x))
(*.f64 (/.f64 #s(literal 1 binary64) y) x)
(*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))
(sqrt.f64 (/.f64 #s(literal 1 binary64) z))
(/.f64 #s(literal 1 binary64) z)
(/.f64 x z)
(sqrt.f64 (*.f64 (*.f64 z (pow.f64 y #s(literal 2 binary64))) #s(literal 1/4 binary64)))
(*.f64 (*.f64 z (pow.f64 y #s(literal 2 binary64))) #s(literal 1/4 binary64))
(*.f64 z (pow.f64 y #s(literal 2 binary64)))
(pow.f64 y #s(literal 2 binary64))
(*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 y (/.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 z)) x))))
(+.f64 #s(literal 1/2 binary64) (*.f64 y (/.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 z)) x)))
(*.f64 (*.f64 y #s(literal 1/2 binary64)) (+.f64 (sqrt.f64 z) (*.f64 (/.f64 #s(literal 1 binary64) y) x)))
(*.f64 z (*.f64 #s(literal 1/2 binary64) (+.f64 (*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) (/.f64 x z))))
(+.f64 (*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) (/.f64 x z))
Outputs
(-.f64 (exp.f64 (log1p.f64 (*.f64 y (*.f64 #s(literal 1/2 binary64) (/.f64 (sqrt.f64 z) x))))) #s(literal 1 binary64))
(/.f64 y (*.f64 #s(literal 2 binary64) (/.f64 x (sqrt.f64 z))))
(/.f64 #s(literal 1 binary64) (/.f64 x (*.f64 (sqrt.f64 z) (*.f64 y #s(literal 1/2 binary64)))))
(/.f64 (*.f64 (sqrt.f64 z) (*.f64 y #s(literal 1/2 binary64))) x)
(/.f64 (neg.f64 (*.f64 (sqrt.f64 z) (*.f64 y #s(literal 1/2 binary64)))) (neg.f64 x))
(pow.f64 (*.f64 y (*.f64 #s(literal 1/2 binary64) (/.f64 (sqrt.f64 z) x))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 y (*.f64 #s(literal 1/2 binary64) (/.f64 (sqrt.f64 z) x)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 y (*.f64 #s(literal 1/2 binary64) (/.f64 (sqrt.f64 z) x))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 y (*.f64 #s(literal 1/2 binary64) (/.f64 (sqrt.f64 z) x)))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 y (*.f64 #s(literal 1/2 binary64) (/.f64 (sqrt.f64 z) x))) #s(literal 2 binary64)))
(log.f64 (pow.f64 (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (/.f64 (sqrt.f64 z) x)) y))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 y (*.f64 #s(literal 1/2 binary64) (/.f64 (sqrt.f64 z) x))))))
(cbrt.f64 (pow.f64 (*.f64 y (*.f64 #s(literal 1/2 binary64) (/.f64 (sqrt.f64 z) x))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 y (*.f64 #s(literal 1/2 binary64) (/.f64 (sqrt.f64 z) x)))))
(log1p.f64 (expm1.f64 (*.f64 y (*.f64 #s(literal 1/2 binary64) (/.f64 (sqrt.f64 z) x)))))
(exp.f64 (log.f64 (*.f64 y (*.f64 #s(literal 1/2 binary64) (/.f64 (sqrt.f64 z) x)))))
(exp.f64 (*.f64 (log.f64 (*.f64 y (*.f64 #s(literal 1/2 binary64) (/.f64 (sqrt.f64 z) x)))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (sqrt.f64 z) x)))) #s(literal 1 binary64))
(*.f64 #s(literal 1/2 binary64) (/.f64 (sqrt.f64 z) x))
(*.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 z)) (/.f64 #s(literal 1 binary64) x))
(*.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (sqrt.f64 z) x)))
(*.f64 (cbrt.f64 (/.f64 (*.f64 z #s(literal 1/4 binary64)) (pow.f64 x #s(literal 2 binary64)))) (cbrt.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (sqrt.f64 z) x))))
(*.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (sqrt.f64 z) x))) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (sqrt.f64 z) x))))
(*.f64 (*.f64 (sqrt.f64 z) #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) (neg.f64 x)))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (/.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 z)) (cbrt.f64 x)))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 z)) (sqrt.f64 x)))
(*.f64 (/.f64 (sqrt.f64 z) (sqrt.f64 x)) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))
(*.f64 (/.f64 (sqrt.f64 z) #s(literal 1 binary64)) (/.f64 #s(literal 1/2 binary64) x))
(*.f64 (/.f64 (sqrt.f64 z) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (/.f64 #s(literal 1/2 binary64) (cbrt.f64 x)))
(*.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (/.f64 (sqrt.f64 z) (cbrt.f64 x)))
(*.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) (/.f64 (sqrt.f64 z) (sqrt.f64 x)))
(*.f64 (/.f64 (cbrt.f64 (*.f64 z #s(literal 1/4 binary64))) #s(literal 1 binary64)) (/.f64 (cbrt.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 z))) x))
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(/.f64 (-.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 y (*.f64 #s(literal 1/2 binary64) (/.f64 (sqrt.f64 z) x))) #s(literal 2 binary64))) (-.f64 #s(literal 1/2 binary64) (*.f64 y (*.f64 #s(literal 1/2 binary64) (/.f64 (sqrt.f64 z) x)))))
(/.f64 (neg.f64 (+.f64 #s(literal 1/8 binary64) (pow.f64 (*.f64 y (*.f64 #s(literal 1/2 binary64) (/.f64 (sqrt.f64 z) x))) #s(literal 3 binary64)))) (neg.f64 (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 y (*.f64 #s(literal 1/2 binary64) (/.f64 (sqrt.f64 z) x))) (-.f64 (*.f64 y (*.f64 #s(literal 1/2 binary64) (/.f64 (sqrt.f64 z) x))) #s(literal 1/2 binary64))))))
(/.f64 (neg.f64 (-.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 y (*.f64 #s(literal 1/2 binary64) (/.f64 (sqrt.f64 z) x))) #s(literal 2 binary64)))) (neg.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 y (*.f64 #s(literal 1/2 binary64) (/.f64 (sqrt.f64 z) x))))))
(/.f64 (+.f64 (pow.f64 (*.f64 y (*.f64 #s(literal 1/2 binary64) (/.f64 (sqrt.f64 z) x))) #s(literal 3 binary64)) #s(literal 1/8 binary64)) (+.f64 (pow.f64 (*.f64 y (*.f64 #s(literal 1/2 binary64) (/.f64 (sqrt.f64 z) x))) #s(literal 2 binary64)) (-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 y (*.f64 #s(literal 1/2 binary64) (/.f64 (sqrt.f64 z) x))) #s(literal 1/2 binary64)))))
(/.f64 (-.f64 (pow.f64 (*.f64 y (*.f64 #s(literal 1/2 binary64) (/.f64 (sqrt.f64 z) x))) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (-.f64 (*.f64 y (*.f64 #s(literal 1/2 binary64) (/.f64 (sqrt.f64 z) x))) #s(literal 1/2 binary64)))
(pow.f64 (fma.f64 y (*.f64 #s(literal 1/2 binary64) (/.f64 (sqrt.f64 z) x)) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (fma.f64 y (*.f64 #s(literal 1/2 binary64) (/.f64 (sqrt.f64 z) x)) #s(literal 1/2 binary64))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (fma.f64 y (*.f64 #s(literal 1/2 binary64) (/.f64 (sqrt.f64 z) x)) #s(literal 1/2 binary64)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (fma.f64 y (*.f64 #s(literal 1/2 binary64) (/.f64 (sqrt.f64 z) x)) #s(literal 1/2 binary64))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (fma.f64 y (*.f64 #s(literal 1/2 binary64) (/.f64 (sqrt.f64 z) x)) #s(literal 1/2 binary64)) #s(literal 2 binary64)))
(log.f64 (exp.f64 (fma.f64 y (*.f64 #s(literal 1/2 binary64) (/.f64 (sqrt.f64 z) x)) #s(literal 1/2 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 y (*.f64 #s(literal 1/2 binary64) (/.f64 (sqrt.f64 z) x)) #s(literal 1/2 binary64)))))
(cbrt.f64 (pow.f64 (fma.f64 y (*.f64 #s(literal 1/2 binary64) (/.f64 (sqrt.f64 z) x)) #s(literal 1/2 binary64)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (fma.f64 y (*.f64 #s(literal 1/2 binary64) (/.f64 (sqrt.f64 z) x)) #s(literal 1/2 binary64))))
(log1p.f64 (expm1.f64 (fma.f64 y (*.f64 #s(literal 1/2 binary64) (/.f64 (sqrt.f64 z) x)) #s(literal 1/2 binary64))))
(exp.f64 (log.f64 (fma.f64 y (*.f64 #s(literal 1/2 binary64) (/.f64 (sqrt.f64 z) x)) #s(literal 1/2 binary64))))
(exp.f64 (*.f64 (log.f64 (fma.f64 y (*.f64 #s(literal 1/2 binary64) (/.f64 (sqrt.f64 z) x)) #s(literal 1/2 binary64))) #s(literal 1 binary64)))
(fma.f64 y (*.f64 #s(literal 1/2 binary64) (/.f64 (sqrt.f64 z) x)) #s(literal 1/2 binary64))
(fma.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (sqrt.f64 z) x)) y #s(literal 1/2 binary64))
(fma.f64 #s(literal 1 binary64) (*.f64 y (*.f64 #s(literal 1/2 binary64) (/.f64 (sqrt.f64 z) x))) #s(literal 1/2 binary64))
(fma.f64 (cbrt.f64 (pow.f64 (*.f64 y (*.f64 #s(literal 1/2 binary64) (/.f64 (sqrt.f64 z) x))) #s(literal 2 binary64))) (cbrt.f64 (*.f64 y (*.f64 #s(literal 1/2 binary64) (/.f64 (sqrt.f64 z) x)))) #s(literal 1/2 binary64))
(fma.f64 (sqrt.f64 (*.f64 y (*.f64 #s(literal 1/2 binary64) (/.f64 (sqrt.f64 z) x)))) (sqrt.f64 (*.f64 y (*.f64 #s(literal 1/2 binary64) (/.f64 (sqrt.f64 z) x)))) #s(literal 1/2 binary64))
(+.f64 (*.f64 y (/.f64 #s(literal 1/2 binary64) (/.f64 y x))) (*.f64 (sqrt.f64 z) (*.f64 y #s(literal 1/2 binary64))))
(+.f64 (*.f64 (sqrt.f64 z) (*.f64 y #s(literal 1/2 binary64))) (*.f64 y (/.f64 #s(literal 1/2 binary64) (/.f64 y x))))
(+.f64 (*.f64 (*.f64 (sqrt.f64 z) (*.f64 y #s(literal 1/2 binary64))) #s(literal 1 binary64)) (*.f64 (*.f64 y (/.f64 #s(literal 1/2 binary64) (/.f64 y x))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 y (*.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 z) (/.f64 x y)))))) #s(literal 1 binary64))
(/.f64 (+.f64 (pow.f64 (*.f64 (sqrt.f64 z) (*.f64 y #s(literal 1/2 binary64))) #s(literal 3 binary64)) (pow.f64 (*.f64 y (/.f64 #s(literal 1/2 binary64) (/.f64 y x))) #s(literal 3 binary64))) (+.f64 (*.f64 z (*.f64 (pow.f64 y #s(literal 2 binary64)) #s(literal 1/4 binary64))) (-.f64 (pow.f64 (*.f64 y (/.f64 #s(literal 1/2 binary64) (/.f64 y x))) #s(literal 2 binary64)) (*.f64 (*.f64 (sqrt.f64 z) (*.f64 y #s(literal 1/2 binary64))) (*.f64 y (/.f64 #s(literal 1/2 binary64) (/.f64 y x)))))))
(/.f64 (-.f64 (*.f64 z (*.f64 (pow.f64 y #s(literal 2 binary64)) #s(literal 1/4 binary64))) (pow.f64 (*.f64 y (/.f64 #s(literal 1/2 binary64) (/.f64 y x))) #s(literal 2 binary64))) (-.f64 (*.f64 (sqrt.f64 z) (*.f64 y #s(literal 1/2 binary64))) (*.f64 y (/.f64 #s(literal 1/2 binary64) (/.f64 y x)))))
(pow.f64 (*.f64 y (*.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 z) (/.f64 x y)))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 y (*.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 z) (/.f64 x y))))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 y (*.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 z) (/.f64 x y)))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 y (*.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 z) (/.f64 x y))))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 y (*.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 z) (/.f64 x y)))) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 (+.f64 (sqrt.f64 z) (/.f64 x y))) (*.f64 y #s(literal 1/2 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 y (*.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 z) (/.f64 x y)))))))
(cbrt.f64 (pow.f64 (*.f64 y (*.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 z) (/.f64 x y)))) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 (*.f64 y #s(literal 1/2 binary64)) #s(literal 3 binary64)) (pow.f64 (+.f64 (sqrt.f64 z) (/.f64 x y)) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (+.f64 (sqrt.f64 z) (/.f64 x y)) #s(literal 3 binary64)) (pow.f64 (*.f64 y #s(literal 1/2 binary64)) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 y (*.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 z) (/.f64 x y))))))
(log1p.f64 (expm1.f64 (*.f64 y (*.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 z) (/.f64 x y))))))
(exp.f64 (log.f64 (*.f64 y (*.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 z) (/.f64 x y))))))
(exp.f64 (*.f64 (log.f64 (*.f64 y (*.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 z) (/.f64 x y))))) #s(literal 1 binary64)))
(fma.f64 (sqrt.f64 z) (*.f64 y #s(literal 1/2 binary64)) (*.f64 y (/.f64 #s(literal 1/2 binary64) (/.f64 y x))))
(fma.f64 (*.f64 y #s(literal 1/2 binary64)) (sqrt.f64 z) (*.f64 y (/.f64 #s(literal 1/2 binary64) (/.f64 y x))))
(+.f64 (*.f64 z (*.f64 #s(literal 1/2 binary64) (/.f64 y (sqrt.f64 z)))) (*.f64 z (/.f64 #s(literal 1/2 binary64) (/.f64 z x))))
(+.f64 (*.f64 z (*.f64 (/.f64 y (sqrt.f64 z)) #s(literal 1/2 binary64))) (*.f64 z (*.f64 (/.f64 x z) #s(literal 1/2 binary64))))
(+.f64 (*.f64 (*.f64 z #s(literal 1/2 binary64)) (/.f64 y (sqrt.f64 z))) (*.f64 (*.f64 z #s(literal 1/2 binary64)) (/.f64 x z)))
(+.f64 (*.f64 (*.f64 z #s(literal 1/2 binary64)) (/.f64 x z)) (*.f64 (*.f64 z #s(literal 1/2 binary64)) (/.f64 y (sqrt.f64 z))))
(+.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 y (sqrt.f64 z))) z) (*.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 z x)) z))
(+.f64 (*.f64 (*.f64 (/.f64 y (sqrt.f64 z)) #s(literal 1/2 binary64)) z) (*.f64 (*.f64 (/.f64 x z) #s(literal 1/2 binary64)) z))
(+.f64 (*.f64 (/.f64 y (sqrt.f64 z)) (*.f64 z #s(literal 1/2 binary64))) (*.f64 (/.f64 x z) (*.f64 z #s(literal 1/2 binary64))))
(+.f64 (*.f64 (/.f64 x z) (*.f64 z #s(literal 1/2 binary64))) (*.f64 (/.f64 y (sqrt.f64 z)) (*.f64 z #s(literal 1/2 binary64))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (*.f64 z #s(literal 1/2 binary64)) (fma.f64 y (pow.f64 z #s(literal -1/2 binary64)) (/.f64 x z))))) #s(literal 1 binary64))
(pow.f64 (*.f64 (*.f64 z #s(literal 1/2 binary64)) (fma.f64 y (pow.f64 z #s(literal -1/2 binary64)) (/.f64 x z))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 (*.f64 z #s(literal 1/2 binary64)) (fma.f64 y (pow.f64 z #s(literal -1/2 binary64)) (/.f64 x z)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 (*.f64 z #s(literal 1/2 binary64)) (fma.f64 y (pow.f64 z #s(literal -1/2 binary64)) (/.f64 x z))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 (*.f64 z #s(literal 1/2 binary64)) (fma.f64 y (pow.f64 z #s(literal -1/2 binary64)) (/.f64 x z)))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 (*.f64 z #s(literal 1/2 binary64)) (fma.f64 y (pow.f64 z #s(literal -1/2 binary64)) (/.f64 x z))) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 (*.f64 z #s(literal 1/2 binary64))) (fma.f64 y (pow.f64 z #s(literal -1/2 binary64)) (/.f64 x z))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (*.f64 z #s(literal 1/2 binary64)) (fma.f64 y (pow.f64 z #s(literal -1/2 binary64)) (/.f64 x z))))))
(cbrt.f64 (pow.f64 (*.f64 (*.f64 z #s(literal 1/2 binary64)) (fma.f64 y (pow.f64 z #s(literal -1/2 binary64)) (/.f64 x z))) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 y (pow.f64 z #s(literal -1/2 binary64)) (/.f64 x z))) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 y (pow.f64 z #s(literal -1/2 binary64)) (/.f64 x z))) #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 (*.f64 z #s(literal 1/2 binary64)) (fma.f64 y (pow.f64 z #s(literal -1/2 binary64)) (/.f64 x z)))))
(log1p.f64 (expm1.f64 (*.f64 (*.f64 z #s(literal 1/2 binary64)) (fma.f64 y (pow.f64 z #s(literal -1/2 binary64)) (/.f64 x z)))))
(exp.f64 (log.f64 (*.f64 (*.f64 z #s(literal 1/2 binary64)) (fma.f64 y (pow.f64 z #s(literal -1/2 binary64)) (/.f64 x z)))))
(exp.f64 (*.f64 (log.f64 (*.f64 (*.f64 z #s(literal 1/2 binary64)) (fma.f64 y (pow.f64 z #s(literal -1/2 binary64)) (/.f64 x z)))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 y (pow.f64 z #s(literal -1/2 binary64)) (/.f64 x z)))) #s(literal 1 binary64))
(-.f64 (/.f64 (pow.f64 (/.f64 y (sqrt.f64 z)) #s(literal 2 binary64)) (-.f64 (/.f64 y (sqrt.f64 z)) (/.f64 x z))) (/.f64 (pow.f64 (/.f64 x z) #s(literal 2 binary64)) (-.f64 (/.f64 y (sqrt.f64 z)) (/.f64 x z))))
(*.f64 #s(literal 1 binary64) (fma.f64 y (pow.f64 z #s(literal -1/2 binary64)) (/.f64 x z)))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 y (pow.f64 z #s(literal -1/2 binary64)) (/.f64 x z))) #s(literal 2 binary64)) (cbrt.f64 (fma.f64 y (pow.f64 z #s(literal -1/2 binary64)) (/.f64 x z))))
(*.f64 (sqrt.f64 (fma.f64 y (pow.f64 z #s(literal -1/2 binary64)) (/.f64 x z))) (sqrt.f64 (fma.f64 y (pow.f64 z #s(literal -1/2 binary64)) (/.f64 x z))))
(*.f64 (+.f64 (pow.f64 (/.f64 y (sqrt.f64 z)) #s(literal 3 binary64)) (pow.f64 (/.f64 x z) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (/.f64 y (sqrt.f64 z)) #s(literal 2 binary64)) (*.f64 (/.f64 x z) (-.f64 (/.f64 x z) (/.f64 y (sqrt.f64 z)))))))
(*.f64 (-.f64 (pow.f64 (/.f64 y (sqrt.f64 z)) #s(literal 2 binary64)) (pow.f64 (/.f64 x z) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (/.f64 y (sqrt.f64 z)) (/.f64 x z))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (pow.f64 (/.f64 y (sqrt.f64 z)) #s(literal 2 binary64)) (*.f64 (/.f64 x z) (-.f64 (/.f64 x z) (/.f64 y (sqrt.f64 z))))) (+.f64 (pow.f64 (/.f64 y (sqrt.f64 z)) #s(literal 3 binary64)) (pow.f64 (/.f64 x z) #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 y (sqrt.f64 z)) (/.f64 x z)) (-.f64 (pow.f64 (/.f64 y (sqrt.f64 z)) #s(literal 2 binary64)) (pow.f64 (/.f64 x z) #s(literal 2 binary64)))))
(/.f64 (+.f64 (pow.f64 (/.f64 y (sqrt.f64 z)) #s(literal 3 binary64)) (pow.f64 (/.f64 x z) #s(literal 3 binary64))) (+.f64 (pow.f64 (/.f64 y (sqrt.f64 z)) #s(literal 2 binary64)) (*.f64 (/.f64 x z) (-.f64 (/.f64 x z) (/.f64 y (sqrt.f64 z))))))
(/.f64 (-.f64 (pow.f64 (/.f64 y (sqrt.f64 z)) #s(literal 2 binary64)) (pow.f64 (/.f64 x z) #s(literal 2 binary64))) (-.f64 (/.f64 y (sqrt.f64 z)) (/.f64 x z)))
(/.f64 (neg.f64 (+.f64 (pow.f64 (/.f64 y (sqrt.f64 z)) #s(literal 3 binary64)) (pow.f64 (/.f64 x z) #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (/.f64 y (sqrt.f64 z)) #s(literal 2 binary64)) (*.f64 (/.f64 x z) (-.f64 (/.f64 x z) (/.f64 y (sqrt.f64 z)))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 y (sqrt.f64 z)) #s(literal 2 binary64)) (pow.f64 (/.f64 x z) #s(literal 2 binary64)))) (neg.f64 (-.f64 (/.f64 y (sqrt.f64 z)) (/.f64 x z))))
(/.f64 (+.f64 (pow.f64 (/.f64 x z) #s(literal 3 binary64)) (pow.f64 (/.f64 y (sqrt.f64 z)) #s(literal 3 binary64))) (+.f64 (pow.f64 (/.f64 x z) #s(literal 2 binary64)) (-.f64 (pow.f64 (/.f64 y (sqrt.f64 z)) #s(literal 2 binary64)) (*.f64 (/.f64 x z) (/.f64 y (sqrt.f64 z))))))
(/.f64 (-.f64 (pow.f64 (/.f64 x z) #s(literal 2 binary64)) (pow.f64 (/.f64 y (sqrt.f64 z)) #s(literal 2 binary64))) (-.f64 (/.f64 x z) (/.f64 y (sqrt.f64 z))))
(pow.f64 (fma.f64 y (pow.f64 z #s(literal -1/2 binary64)) (/.f64 x z)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (fma.f64 y (pow.f64 z #s(literal -1/2 binary64)) (/.f64 x z))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (fma.f64 y (pow.f64 z #s(literal -1/2 binary64)) (/.f64 x z)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (fma.f64 y (pow.f64 z #s(literal -1/2 binary64)) (/.f64 x z))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (fma.f64 y (pow.f64 z #s(literal -1/2 binary64)) (/.f64 x z)) #s(literal 2 binary64)))
(log.f64 (exp.f64 (fma.f64 y (pow.f64 z #s(literal -1/2 binary64)) (/.f64 x z))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 y (pow.f64 z #s(literal -1/2 binary64)) (/.f64 x z)))))
(cbrt.f64 (pow.f64 (fma.f64 y (pow.f64 z #s(literal -1/2 binary64)) (/.f64 x z)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (fma.f64 y (pow.f64 z #s(literal -1/2 binary64)) (/.f64 x z))))
(log1p.f64 (expm1.f64 (fma.f64 y (pow.f64 z #s(literal -1/2 binary64)) (/.f64 x z))))
(exp.f64 (log.f64 (fma.f64 y (pow.f64 z #s(literal -1/2 binary64)) (/.f64 x z))))
(exp.f64 (*.f64 (log.f64 (fma.f64 y (pow.f64 z #s(literal -1/2 binary64)) (/.f64 x z))) #s(literal 1 binary64)))
(fma.f64 y (pow.f64 z #s(literal -1/2 binary64)) (/.f64 x z))
(fma.f64 x (/.f64 #s(literal 1 binary64) z) (/.f64 y (sqrt.f64 z)))
(fma.f64 #s(literal 1 binary64) (/.f64 y (sqrt.f64 z)) (/.f64 x z))
(fma.f64 #s(literal 1 binary64) (/.f64 x z) (/.f64 y (sqrt.f64 z)))
(fma.f64 (pow.f64 z #s(literal -1/2 binary64)) y (/.f64 x z))
(fma.f64 (cbrt.f64 (pow.f64 (/.f64 x z) #s(literal 2 binary64))) (cbrt.f64 (/.f64 x z)) (/.f64 y (sqrt.f64 z)))
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 y (sqrt.f64 z))) #s(literal 2 binary64)) (cbrt.f64 (/.f64 y (sqrt.f64 z))) (/.f64 x z))
(fma.f64 (sqrt.f64 (/.f64 x z)) (sqrt.f64 (/.f64 x z)) (/.f64 y (sqrt.f64 z)))
(fma.f64 (sqrt.f64 (/.f64 y (sqrt.f64 z))) (sqrt.f64 (/.f64 y (sqrt.f64 z))) (/.f64 x z))

simplify873.0ms (4.3%)

Algorithm
egg-herbie
Rules
642×fma-neg
418×*-commutative
357×fma-define
302×times-frac
199×associate-*r/
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
0109829218
1255027239
2749927230
Stop Event
node limit
Counts
867 → 696
Calls
Call 1
Inputs
(*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 y x) (sqrt.f64 z)))
(*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 y x) (sqrt.f64 z)))
(*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 y x) (sqrt.f64 z)))
(*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 y x) (sqrt.f64 z)))
(*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 y x) (sqrt.f64 z)))
(*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 y x) (sqrt.f64 z)))
(*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 y x) (sqrt.f64 z)))
(*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 y x) (sqrt.f64 z)))
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(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 y (sqrt.f64 z)) #s(literal 2 binary64)) (pow.f64 (/.f64 x z) #s(literal 2 binary64)))) (neg.f64 (-.f64 (/.f64 y (sqrt.f64 z)) (/.f64 x z))))
(/.f64 (+.f64 (pow.f64 (/.f64 x z) #s(literal 3 binary64)) (pow.f64 (/.f64 y (sqrt.f64 z)) #s(literal 3 binary64))) (+.f64 (pow.f64 (/.f64 x z) #s(literal 2 binary64)) (-.f64 (pow.f64 (/.f64 y (sqrt.f64 z)) #s(literal 2 binary64)) (*.f64 (/.f64 x z) (/.f64 y (sqrt.f64 z))))))
(/.f64 (-.f64 (pow.f64 (/.f64 x z) #s(literal 2 binary64)) (pow.f64 (/.f64 y (sqrt.f64 z)) #s(literal 2 binary64))) (-.f64 (/.f64 x z) (/.f64 y (sqrt.f64 z))))
(pow.f64 (fma.f64 y (pow.f64 z #s(literal -1/2 binary64)) (/.f64 x z)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (fma.f64 y (pow.f64 z #s(literal -1/2 binary64)) (/.f64 x z))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (fma.f64 y (pow.f64 z #s(literal -1/2 binary64)) (/.f64 x z)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (fma.f64 y (pow.f64 z #s(literal -1/2 binary64)) (/.f64 x z))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (fma.f64 y (pow.f64 z #s(literal -1/2 binary64)) (/.f64 x z)) #s(literal 2 binary64)))
(log.f64 (exp.f64 (fma.f64 y (pow.f64 z #s(literal -1/2 binary64)) (/.f64 x z))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 y (pow.f64 z #s(literal -1/2 binary64)) (/.f64 x z)))))
(cbrt.f64 (pow.f64 (fma.f64 y (pow.f64 z #s(literal -1/2 binary64)) (/.f64 x z)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (fma.f64 y (pow.f64 z #s(literal -1/2 binary64)) (/.f64 x z))))
(log1p.f64 (expm1.f64 (fma.f64 y (pow.f64 z #s(literal -1/2 binary64)) (/.f64 x z))))
(exp.f64 (log.f64 (fma.f64 y (pow.f64 z #s(literal -1/2 binary64)) (/.f64 x z))))
(exp.f64 (*.f64 (log.f64 (fma.f64 y (pow.f64 z #s(literal -1/2 binary64)) (/.f64 x z))) #s(literal 1 binary64)))
(fma.f64 y (pow.f64 z #s(literal -1/2 binary64)) (/.f64 x z))
(fma.f64 x (/.f64 #s(literal 1 binary64) z) (/.f64 y (sqrt.f64 z)))
(fma.f64 #s(literal 1 binary64) (/.f64 y (sqrt.f64 z)) (/.f64 x z))
(fma.f64 #s(literal 1 binary64) (/.f64 x z) (/.f64 y (sqrt.f64 z)))
(fma.f64 (pow.f64 z #s(literal -1/2 binary64)) y (/.f64 x z))
(fma.f64 (cbrt.f64 (pow.f64 (/.f64 x z) #s(literal 2 binary64))) (cbrt.f64 (/.f64 x z)) (/.f64 y (sqrt.f64 z)))
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 y (sqrt.f64 z))) #s(literal 2 binary64)) (cbrt.f64 (/.f64 y (sqrt.f64 z))) (/.f64 x z))
(fma.f64 (sqrt.f64 (/.f64 x z)) (sqrt.f64 (/.f64 x z)) (/.f64 y (sqrt.f64 z)))
(fma.f64 (sqrt.f64 (/.f64 y (sqrt.f64 z))) (sqrt.f64 (/.f64 y (sqrt.f64 z))) (/.f64 x z))
Outputs
(*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 y x) (sqrt.f64 z)))
(*.f64 (sqrt.f64 z) (*.f64 y (/.f64 #s(literal 1/2 binary64) x)))
(*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 y x) (sqrt.f64 z)))
(*.f64 (sqrt.f64 z) (*.f64 y (/.f64 #s(literal 1/2 binary64) x)))
(*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 y x) (sqrt.f64 z)))
(*.f64 (sqrt.f64 z) (*.f64 y (/.f64 #s(literal 1/2 binary64) x)))
(*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 y x) (sqrt.f64 z)))
(*.f64 (sqrt.f64 z) (*.f64 y (/.f64 #s(literal 1/2 binary64) x)))
(*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 y x) (sqrt.f64 z)))
(*.f64 (sqrt.f64 z) (*.f64 y (/.f64 #s(literal 1/2 binary64) x)))
(*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 y x) (sqrt.f64 z)))
(*.f64 (sqrt.f64 z) (*.f64 y (/.f64 #s(literal 1/2 binary64) x)))
(*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 y x) (sqrt.f64 z)))
(*.f64 (sqrt.f64 z) (*.f64 y (/.f64 #s(literal 1/2 binary64) x)))
(*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 y x) (sqrt.f64 z)))
(*.f64 (sqrt.f64 z) (*.f64 y (/.f64 #s(literal 1/2 binary64) x)))
(*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 y x) (sqrt.f64 z)))
(*.f64 (sqrt.f64 z) (*.f64 y (/.f64 #s(literal 1/2 binary64) x)))
(*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 y x) (sqrt.f64 z)))
(*.f64 (sqrt.f64 z) (*.f64 y (/.f64 #s(literal 1/2 binary64) x)))
(*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 y x) (sqrt.f64 z)))
(*.f64 (sqrt.f64 z) (*.f64 y (/.f64 #s(literal 1/2 binary64) x)))
(*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 y x) (sqrt.f64 z)))
(*.f64 (sqrt.f64 z) (*.f64 y (/.f64 #s(literal 1/2 binary64) x)))
(*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 y x) (sqrt.f64 z)))
(*.f64 (sqrt.f64 z) (*.f64 y (/.f64 #s(literal 1/2 binary64) x)))
(*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 y x) (sqrt.f64 z)))
(*.f64 (sqrt.f64 z) (*.f64 y (/.f64 #s(literal 1/2 binary64) x)))
(*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 y x) (sqrt.f64 z)))
(*.f64 (sqrt.f64 z) (*.f64 y (/.f64 #s(literal 1/2 binary64) x)))
(*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 y x) (sqrt.f64 z)))
(*.f64 (sqrt.f64 z) (*.f64 y (/.f64 #s(literal 1/2 binary64) x)))
(*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 y x) (sqrt.f64 z)))
(*.f64 (sqrt.f64 z) (*.f64 y (/.f64 #s(literal 1/2 binary64) x)))
(*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 y x) (sqrt.f64 z)))
(*.f64 (sqrt.f64 z) (*.f64 y (/.f64 #s(literal 1/2 binary64) x)))
(*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 y x) (sqrt.f64 z)))
(*.f64 (sqrt.f64 z) (*.f64 y (/.f64 #s(literal 1/2 binary64) x)))
(*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 y x) (sqrt.f64 z)))
(*.f64 (sqrt.f64 z) (*.f64 y (/.f64 #s(literal 1/2 binary64) x)))
(*.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) x) (sqrt.f64 z)))
(*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 y x) (sqrt.f64 z)))
(*.f64 (sqrt.f64 z) (*.f64 y (/.f64 #s(literal 1/2 binary64) x)))
(*.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) x) (sqrt.f64 z)))
(*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 y x) (sqrt.f64 z)))
(*.f64 (sqrt.f64 z) (*.f64 y (/.f64 #s(literal 1/2 binary64) x)))
(*.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) x) (sqrt.f64 z)))
(*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 y x) (sqrt.f64 z)))
(*.f64 (sqrt.f64 z) (*.f64 y (/.f64 #s(literal 1/2 binary64) x)))
(*.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) x) (sqrt.f64 z)))
(*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 y x) (sqrt.f64 z)))
(*.f64 (sqrt.f64 z) (*.f64 y (/.f64 #s(literal 1/2 binary64) x)))
(*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 y x) (sqrt.f64 z)))
(*.f64 (sqrt.f64 z) (*.f64 y (/.f64 #s(literal 1/2 binary64) x)))
(*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 y x) (sqrt.f64 z)))
(*.f64 (sqrt.f64 z) (*.f64 y (/.f64 #s(literal 1/2 binary64) x)))
(*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 y x) (sqrt.f64 z)))
(*.f64 (sqrt.f64 z) (*.f64 y (/.f64 #s(literal 1/2 binary64) x)))
(*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 y x) (sqrt.f64 z)))
(*.f64 (sqrt.f64 z) (*.f64 y (/.f64 #s(literal 1/2 binary64) x)))
(*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 y x) (sqrt.f64 z)))
(*.f64 (sqrt.f64 z) (*.f64 y (/.f64 #s(literal 1/2 binary64) x)))
(*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 y x) (sqrt.f64 z)))
(*.f64 (sqrt.f64 z) (*.f64 y (/.f64 #s(literal 1/2 binary64) x)))
(*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 y x) (sqrt.f64 z)))
(*.f64 (sqrt.f64 z) (*.f64 y (/.f64 #s(literal 1/2 binary64) x)))
(*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 y x) (sqrt.f64 z)))
(*.f64 (sqrt.f64 z) (*.f64 y (/.f64 #s(literal 1/2 binary64) x)))
(*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 y x) (sqrt.f64 z)))
(*.f64 (sqrt.f64 z) (*.f64 y (/.f64 #s(literal 1/2 binary64) x)))
(*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 y x) (sqrt.f64 z)))
(*.f64 (sqrt.f64 z) (*.f64 y (/.f64 #s(literal 1/2 binary64) x)))
(*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 y x) (sqrt.f64 z)))
(*.f64 (sqrt.f64 z) (*.f64 y (/.f64 #s(literal 1/2 binary64) x)))
(*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 y x) (sqrt.f64 z)))
(*.f64 (sqrt.f64 z) (*.f64 y (/.f64 #s(literal 1/2 binary64) x)))
(*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 z)))
(*.f64 (sqrt.f64 z) (/.f64 #s(literal 1/2 binary64) x))
(*.f64 #s(literal 1/2 binary64) (/.f64 (sqrt.f64 z) x))
(*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 z)))
(*.f64 (sqrt.f64 z) (/.f64 #s(literal 1/2 binary64) x))
(*.f64 #s(literal 1/2 binary64) (/.f64 (sqrt.f64 z) x))
(*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 z)))
(*.f64 (sqrt.f64 z) (/.f64 #s(literal 1/2 binary64) x))
(*.f64 #s(literal 1/2 binary64) (/.f64 (sqrt.f64 z) x))
(*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 z)))
(*.f64 (sqrt.f64 z) (/.f64 #s(literal 1/2 binary64) x))
(*.f64 #s(literal 1/2 binary64) (/.f64 (sqrt.f64 z) x))
(*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 z)))
(*.f64 (sqrt.f64 z) (/.f64 #s(literal 1/2 binary64) x))
(*.f64 #s(literal 1/2 binary64) (/.f64 (sqrt.f64 z) x))
(*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 z)))
(*.f64 (sqrt.f64 z) (/.f64 #s(literal 1/2 binary64) x))
(*.f64 #s(literal 1/2 binary64) (/.f64 (sqrt.f64 z) x))
(*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 z)))
(*.f64 (sqrt.f64 z) (/.f64 #s(literal 1/2 binary64) x))
(*.f64 #s(literal 1/2 binary64) (/.f64 (sqrt.f64 z) x))
(*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 z)))
(*.f64 (sqrt.f64 z) (/.f64 #s(literal 1/2 binary64) x))
(*.f64 #s(literal 1/2 binary64) (/.f64 (sqrt.f64 z) x))
(*.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) x) (sqrt.f64 z)))
(*.f64 (sqrt.f64 z) (/.f64 #s(literal 1/2 binary64) x))
(*.f64 #s(literal 1/2 binary64) (/.f64 (sqrt.f64 z) x))
(*.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) x) (sqrt.f64 z)))
(*.f64 (sqrt.f64 z) (/.f64 #s(literal 1/2 binary64) x))
(*.f64 #s(literal 1/2 binary64) (/.f64 (sqrt.f64 z) x))
(*.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) x) (sqrt.f64 z)))
(*.f64 (sqrt.f64 z) (/.f64 #s(literal 1/2 binary64) x))
(*.f64 #s(literal 1/2 binary64) (/.f64 (sqrt.f64 z) x))
(*.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) x) (sqrt.f64 z)))
(*.f64 (sqrt.f64 z) (/.f64 #s(literal 1/2 binary64) x))
(*.f64 #s(literal 1/2 binary64) (/.f64 (sqrt.f64 z) x))
(*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 z)))
(*.f64 (sqrt.f64 z) (/.f64 #s(literal 1/2 binary64) x))
(*.f64 #s(literal 1/2 binary64) (/.f64 (sqrt.f64 z) x))
(*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 z)))
(*.f64 (sqrt.f64 z) (/.f64 #s(literal 1/2 binary64) x))
(*.f64 #s(literal 1/2 binary64) (/.f64 (sqrt.f64 z) x))
(*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 z)))
(*.f64 (sqrt.f64 z) (/.f64 #s(literal 1/2 binary64) x))
(*.f64 #s(literal 1/2 binary64) (/.f64 (sqrt.f64 z) x))
(*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 z)))
(*.f64 (sqrt.f64 z) (/.f64 #s(literal 1/2 binary64) x))
(*.f64 #s(literal 1/2 binary64) (/.f64 (sqrt.f64 z) x))
(*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 z)))
(*.f64 (sqrt.f64 z) (/.f64 #s(literal 1/2 binary64) x))
(*.f64 #s(literal 1/2 binary64) (/.f64 (sqrt.f64 z) x))
(*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 z)))
(*.f64 (sqrt.f64 z) (/.f64 #s(literal 1/2 binary64) x))
(*.f64 #s(literal 1/2 binary64) (/.f64 (sqrt.f64 z) x))
(*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 z)))
(*.f64 (sqrt.f64 z) (/.f64 #s(literal 1/2 binary64) x))
(*.f64 #s(literal 1/2 binary64) (/.f64 (sqrt.f64 z) x))
(*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 z)))
(*.f64 (sqrt.f64 z) (/.f64 #s(literal 1/2 binary64) x))
(*.f64 #s(literal 1/2 binary64) (/.f64 (sqrt.f64 z) x))
(*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 z)))
(*.f64 (sqrt.f64 z) (/.f64 #s(literal 1/2 binary64) x))
(*.f64 #s(literal 1/2 binary64) (/.f64 (sqrt.f64 z) x))
(*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 z)))
(*.f64 (sqrt.f64 z) (/.f64 #s(literal 1/2 binary64) x))
(*.f64 #s(literal 1/2 binary64) (/.f64 (sqrt.f64 z) x))
(*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 z)))
(*.f64 (sqrt.f64 z) (/.f64 #s(literal 1/2 binary64) x))
(*.f64 #s(literal 1/2 binary64) (/.f64 (sqrt.f64 z) x))
(*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 z)))
(*.f64 (sqrt.f64 z) (/.f64 #s(literal 1/2 binary64) x))
(*.f64 #s(literal 1/2 binary64) (/.f64 (sqrt.f64 z) x))
(*.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 z) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 z))
(*.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 z) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 z))
(*.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 z) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 z))
(*.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 z) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 z))
(*.f64 #s(literal 1/2 binary64) x)
(*.f64 #s(literal 1/2 binary64) x)
(*.f64 #s(literal 1/2 binary64) x)
(*.f64 #s(literal 1/2 binary64) x)
(*.f64 #s(literal 1/2 binary64) x)
(*.f64 #s(literal 1/2 binary64) x)
(*.f64 #s(literal 1/2 binary64) x)
(*.f64 #s(literal 1/2 binary64) x)
(*.f64 #s(literal 1/2 binary64) x)
(*.f64 #s(literal 1/2 binary64) x)
(*.f64 #s(literal 1/2 binary64) x)
(*.f64 #s(literal 1/2 binary64) x)
(*.f64 #s(literal 1/2 binary64) x)
(*.f64 #s(literal 1/2 binary64) x)
(*.f64 #s(literal 1/2 binary64) x)
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(*.f64 #s(literal 1/2 binary64) x)
(*.f64 #s(literal 1/2 binary64) x)
(*.f64 #s(literal 1/2 binary64) x)
(*.f64 #s(literal 1/2 binary64) x)
(*.f64 #s(literal 1/2 binary64) x)
(*.f64 #s(literal 1/2 binary64) x)
(+.f64 (sqrt.f64 z) (/.f64 x y))
(+.f64 (sqrt.f64 z) (/.f64 x y))
(+.f64 (sqrt.f64 z) (/.f64 x y))
(+.f64 (sqrt.f64 z) (/.f64 x y))
(sqrt.f64 z)
(*.f64 z (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (/.f64 x (*.f64 y z))))
(*.f64 z (+.f64 (pow.f64 z #s(literal -1/2 binary64)) (/.f64 x (*.f64 y z))))
(*.f64 z (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (/.f64 x (*.f64 y z))))
(*.f64 z (+.f64 (pow.f64 z #s(literal -1/2 binary64)) (/.f64 x (*.f64 y z))))
(*.f64 z (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (/.f64 x (*.f64 y z))))
(*.f64 z (+.f64 (pow.f64 z #s(literal -1/2 binary64)) (/.f64 x (*.f64 y z))))
(*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 z) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))
(sqrt.f64 z)
(*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x (*.f64 y z))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))))
(*.f64 (neg.f64 z) (fma.f64 #s(literal -1 binary64) (/.f64 x (*.f64 y z)) (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))))
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(*.f64 z (*.f64 #s(literal 1/2 binary64) (+.f64 (*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) (/.f64 x z))))
(*.f64 (*.f64 #s(literal 1/2 binary64) z) (fma.f64 y (pow.f64 z #s(literal -1/2 binary64)) (/.f64 x z)))
(cbrt.f64 (*.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 y (pow.f64 z #s(literal -1/2 binary64)) (/.f64 x z))) #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))))
(*.f64 z (*.f64 #s(literal 1/2 binary64) (+.f64 (*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) (/.f64 x z))))
(*.f64 (*.f64 #s(literal 1/2 binary64) z) (fma.f64 y (pow.f64 z #s(literal -1/2 binary64)) (/.f64 x z)))
(expm1.f64 (log1p.f64 (*.f64 (*.f64 z #s(literal 1/2 binary64)) (fma.f64 y (pow.f64 z #s(literal -1/2 binary64)) (/.f64 x z)))))
(expm1.f64 (log1p.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) z) (fma.f64 y (pow.f64 z #s(literal -1/2 binary64)) (/.f64 x z)))))
(log1p.f64 (expm1.f64 (*.f64 (*.f64 z #s(literal 1/2 binary64)) (fma.f64 y (pow.f64 z #s(literal -1/2 binary64)) (/.f64 x z)))))
(*.f64 z (*.f64 #s(literal 1/2 binary64) (+.f64 (*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) (/.f64 x z))))
(*.f64 (*.f64 #s(literal 1/2 binary64) z) (fma.f64 y (pow.f64 z #s(literal -1/2 binary64)) (/.f64 x z)))
(exp.f64 (log.f64 (*.f64 (*.f64 z #s(literal 1/2 binary64)) (fma.f64 y (pow.f64 z #s(literal -1/2 binary64)) (/.f64 x z)))))
(*.f64 z (*.f64 #s(literal 1/2 binary64) (+.f64 (*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) (/.f64 x z))))
(*.f64 (*.f64 #s(literal 1/2 binary64) z) (fma.f64 y (pow.f64 z #s(literal -1/2 binary64)) (/.f64 x z)))
(exp.f64 (*.f64 (log.f64 (*.f64 (*.f64 z #s(literal 1/2 binary64)) (fma.f64 y (pow.f64 z #s(literal -1/2 binary64)) (/.f64 x z)))) #s(literal 1 binary64)))
(*.f64 z (*.f64 #s(literal 1/2 binary64) (+.f64 (*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) (/.f64 x z))))
(*.f64 (*.f64 #s(literal 1/2 binary64) z) (fma.f64 y (pow.f64 z #s(literal -1/2 binary64)) (/.f64 x z)))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 y (pow.f64 z #s(literal -1/2 binary64)) (/.f64 x z)))) #s(literal 1 binary64))
(expm1.f64 (log1p.f64 (fma.f64 y (pow.f64 z #s(literal -1/2 binary64)) (/.f64 x z))))
(-.f64 (/.f64 (pow.f64 (/.f64 y (sqrt.f64 z)) #s(literal 2 binary64)) (-.f64 (/.f64 y (sqrt.f64 z)) (/.f64 x z))) (/.f64 (pow.f64 (/.f64 x z) #s(literal 2 binary64)) (-.f64 (/.f64 y (sqrt.f64 z)) (/.f64 x z))))
(/.f64 (-.f64 (pow.f64 (/.f64 y (sqrt.f64 z)) #s(literal 2 binary64)) (pow.f64 (/.f64 x z) #s(literal 2 binary64))) (-.f64 (/.f64 y (sqrt.f64 z)) (/.f64 x z)))
(*.f64 #s(literal 1 binary64) (fma.f64 y (pow.f64 z #s(literal -1/2 binary64)) (/.f64 x z)))
(fma.f64 y (pow.f64 z #s(literal -1/2 binary64)) (/.f64 x z))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 y (pow.f64 z #s(literal -1/2 binary64)) (/.f64 x z))) #s(literal 2 binary64)) (cbrt.f64 (fma.f64 y (pow.f64 z #s(literal -1/2 binary64)) (/.f64 x z))))
(fma.f64 y (pow.f64 z #s(literal -1/2 binary64)) (/.f64 x z))
(*.f64 (sqrt.f64 (fma.f64 y (pow.f64 z #s(literal -1/2 binary64)) (/.f64 x z))) (sqrt.f64 (fma.f64 y (pow.f64 z #s(literal -1/2 binary64)) (/.f64 x z))))
(fma.f64 y (pow.f64 z #s(literal -1/2 binary64)) (/.f64 x z))
(*.f64 (+.f64 (pow.f64 (/.f64 y (sqrt.f64 z)) #s(literal 3 binary64)) (pow.f64 (/.f64 x z) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (/.f64 y (sqrt.f64 z)) #s(literal 2 binary64)) (*.f64 (/.f64 x z) (-.f64 (/.f64 x z) (/.f64 y (sqrt.f64 z)))))))
(/.f64 (+.f64 (pow.f64 (/.f64 y (sqrt.f64 z)) #s(literal 3 binary64)) (pow.f64 (/.f64 x z) #s(literal 3 binary64))) (fma.f64 (/.f64 x z) (-.f64 (/.f64 x z) (/.f64 y (sqrt.f64 z))) (pow.f64 (/.f64 y (sqrt.f64 z)) #s(literal 2 binary64))))
(*.f64 (-.f64 (pow.f64 (/.f64 y (sqrt.f64 z)) #s(literal 2 binary64)) (pow.f64 (/.f64 x z) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (/.f64 y (sqrt.f64 z)) (/.f64 x z))))
(/.f64 (-.f64 (pow.f64 (/.f64 y (sqrt.f64 z)) #s(literal 2 binary64)) (pow.f64 (/.f64 x z) #s(literal 2 binary64))) (-.f64 (/.f64 y (sqrt.f64 z)) (/.f64 x z)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (pow.f64 (/.f64 y (sqrt.f64 z)) #s(literal 2 binary64)) (*.f64 (/.f64 x z) (-.f64 (/.f64 x z) (/.f64 y (sqrt.f64 z))))) (+.f64 (pow.f64 (/.f64 y (sqrt.f64 z)) #s(literal 3 binary64)) (pow.f64 (/.f64 x z) #s(literal 3 binary64)))))
(*.f64 (+.f64 (pow.f64 (/.f64 y (sqrt.f64 z)) #s(literal 3 binary64)) (pow.f64 (/.f64 x z) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (/.f64 y (sqrt.f64 z)) #s(literal 2 binary64)) (*.f64 (/.f64 x z) (-.f64 (/.f64 x z) (/.f64 y (sqrt.f64 z)))))))
(/.f64 (+.f64 (pow.f64 (/.f64 y (sqrt.f64 z)) #s(literal 3 binary64)) (pow.f64 (/.f64 x z) #s(literal 3 binary64))) (fma.f64 (/.f64 x z) (-.f64 (/.f64 x z) (/.f64 y (sqrt.f64 z))) (pow.f64 (/.f64 y (sqrt.f64 z)) #s(literal 2 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 y (sqrt.f64 z)) (/.f64 x z)) (-.f64 (pow.f64 (/.f64 y (sqrt.f64 z)) #s(literal 2 binary64)) (pow.f64 (/.f64 x z) #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 (/.f64 y (sqrt.f64 z)) #s(literal 2 binary64)) (pow.f64 (/.f64 x z) #s(literal 2 binary64))) (-.f64 (/.f64 y (sqrt.f64 z)) (/.f64 x z)))
(/.f64 (+.f64 (pow.f64 (/.f64 y (sqrt.f64 z)) #s(literal 3 binary64)) (pow.f64 (/.f64 x z) #s(literal 3 binary64))) (+.f64 (pow.f64 (/.f64 y (sqrt.f64 z)) #s(literal 2 binary64)) (*.f64 (/.f64 x z) (-.f64 (/.f64 x z) (/.f64 y (sqrt.f64 z))))))
(*.f64 (+.f64 (pow.f64 (/.f64 y (sqrt.f64 z)) #s(literal 3 binary64)) (pow.f64 (/.f64 x z) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (/.f64 y (sqrt.f64 z)) #s(literal 2 binary64)) (*.f64 (/.f64 x z) (-.f64 (/.f64 x z) (/.f64 y (sqrt.f64 z)))))))
(/.f64 (+.f64 (pow.f64 (/.f64 y (sqrt.f64 z)) #s(literal 3 binary64)) (pow.f64 (/.f64 x z) #s(literal 3 binary64))) (fma.f64 (/.f64 x z) (-.f64 (/.f64 x z) (/.f64 y (sqrt.f64 z))) (pow.f64 (/.f64 y (sqrt.f64 z)) #s(literal 2 binary64))))
(/.f64 (-.f64 (pow.f64 (/.f64 y (sqrt.f64 z)) #s(literal 2 binary64)) (pow.f64 (/.f64 x z) #s(literal 2 binary64))) (-.f64 (/.f64 y (sqrt.f64 z)) (/.f64 x z)))
(/.f64 (neg.f64 (+.f64 (pow.f64 (/.f64 y (sqrt.f64 z)) #s(literal 3 binary64)) (pow.f64 (/.f64 x z) #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (/.f64 y (sqrt.f64 z)) #s(literal 2 binary64)) (*.f64 (/.f64 x z) (-.f64 (/.f64 x z) (/.f64 y (sqrt.f64 z)))))))
(*.f64 #s(literal 1 binary64) (/.f64 (+.f64 (pow.f64 (/.f64 y (sqrt.f64 z)) #s(literal 3 binary64)) (pow.f64 (/.f64 x z) #s(literal 3 binary64))) (fma.f64 (/.f64 x z) (-.f64 (/.f64 x z) (/.f64 y (sqrt.f64 z))) (pow.f64 (/.f64 y (sqrt.f64 z)) #s(literal 2 binary64)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 y (sqrt.f64 z)) #s(literal 2 binary64)) (pow.f64 (/.f64 x z) #s(literal 2 binary64)))) (neg.f64 (-.f64 (/.f64 y (sqrt.f64 z)) (/.f64 x z))))
(neg.f64 (/.f64 (-.f64 (pow.f64 (/.f64 y (sqrt.f64 z)) #s(literal 2 binary64)) (pow.f64 (/.f64 x z) #s(literal 2 binary64))) (neg.f64 (-.f64 (/.f64 y (sqrt.f64 z)) (/.f64 x z)))))
(/.f64 (-.f64 (pow.f64 (/.f64 x z) #s(literal 2 binary64)) (pow.f64 (/.f64 y (sqrt.f64 z)) #s(literal 2 binary64))) (-.f64 (/.f64 x z) (/.f64 y (sqrt.f64 z))))
(/.f64 (+.f64 (pow.f64 (/.f64 x z) #s(literal 3 binary64)) (pow.f64 (/.f64 y (sqrt.f64 z)) #s(literal 3 binary64))) (+.f64 (pow.f64 (/.f64 x z) #s(literal 2 binary64)) (-.f64 (pow.f64 (/.f64 y (sqrt.f64 z)) #s(literal 2 binary64)) (*.f64 (/.f64 x z) (/.f64 y (sqrt.f64 z))))))
(/.f64 (+.f64 (pow.f64 (/.f64 y (sqrt.f64 z)) #s(literal 3 binary64)) (pow.f64 (/.f64 x z) #s(literal 3 binary64))) (+.f64 (pow.f64 (/.f64 x z) #s(literal 2 binary64)) (-.f64 (pow.f64 (/.f64 y (sqrt.f64 z)) #s(literal 2 binary64)) (*.f64 (/.f64 x z) (/.f64 y (sqrt.f64 z))))))
(/.f64 (+.f64 (pow.f64 (/.f64 y (sqrt.f64 z)) #s(literal 3 binary64)) (pow.f64 (/.f64 x z) #s(literal 3 binary64))) (+.f64 (pow.f64 (/.f64 x z) #s(literal 2 binary64)) (*.f64 (/.f64 y (sqrt.f64 z)) (-.f64 (/.f64 y (sqrt.f64 z)) (/.f64 x z)))))
(/.f64 (-.f64 (pow.f64 (/.f64 x z) #s(literal 2 binary64)) (pow.f64 (/.f64 y (sqrt.f64 z)) #s(literal 2 binary64))) (-.f64 (/.f64 x z) (/.f64 y (sqrt.f64 z))))
(neg.f64 (/.f64 (-.f64 (pow.f64 (/.f64 y (sqrt.f64 z)) #s(literal 2 binary64)) (pow.f64 (/.f64 x z) #s(literal 2 binary64))) (neg.f64 (-.f64 (/.f64 y (sqrt.f64 z)) (/.f64 x z)))))
(pow.f64 (fma.f64 y (pow.f64 z #s(literal -1/2 binary64)) (/.f64 x z)) #s(literal 1 binary64))
(fma.f64 y (pow.f64 z #s(literal -1/2 binary64)) (/.f64 x z))
(pow.f64 (cbrt.f64 (fma.f64 y (pow.f64 z #s(literal -1/2 binary64)) (/.f64 x z))) #s(literal 3 binary64))
(fma.f64 y (pow.f64 z #s(literal -1/2 binary64)) (/.f64 x z))
(pow.f64 (pow.f64 (fma.f64 y (pow.f64 z #s(literal -1/2 binary64)) (/.f64 x z)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(fma.f64 y (pow.f64 z #s(literal -1/2 binary64)) (/.f64 x z))
(pow.f64 (sqrt.f64 (fma.f64 y (pow.f64 z #s(literal -1/2 binary64)) (/.f64 x z))) #s(literal 2 binary64))
(fma.f64 y (pow.f64 z #s(literal -1/2 binary64)) (/.f64 x z))
(sqrt.f64 (pow.f64 (fma.f64 y (pow.f64 z #s(literal -1/2 binary64)) (/.f64 x z)) #s(literal 2 binary64)))
(fabs.f64 (fma.f64 y (pow.f64 z #s(literal -1/2 binary64)) (/.f64 x z)))
(log.f64 (exp.f64 (fma.f64 y (pow.f64 z #s(literal -1/2 binary64)) (/.f64 x z))))
(fma.f64 y (pow.f64 z #s(literal -1/2 binary64)) (/.f64 x z))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 y (pow.f64 z #s(literal -1/2 binary64)) (/.f64 x z)))))
(fma.f64 y (pow.f64 z #s(literal -1/2 binary64)) (/.f64 x z))
(cbrt.f64 (pow.f64 (fma.f64 y (pow.f64 z #s(literal -1/2 binary64)) (/.f64 x z)) #s(literal 3 binary64)))
(fma.f64 y (pow.f64 z #s(literal -1/2 binary64)) (/.f64 x z))
(expm1.f64 (log1p.f64 (fma.f64 y (pow.f64 z #s(literal -1/2 binary64)) (/.f64 x z))))
(log1p.f64 (expm1.f64 (fma.f64 y (pow.f64 z #s(literal -1/2 binary64)) (/.f64 x z))))
(fma.f64 y (pow.f64 z #s(literal -1/2 binary64)) (/.f64 x z))
(exp.f64 (log.f64 (fma.f64 y (pow.f64 z #s(literal -1/2 binary64)) (/.f64 x z))))
(fma.f64 y (pow.f64 z #s(literal -1/2 binary64)) (/.f64 x z))
(exp.f64 (*.f64 (log.f64 (fma.f64 y (pow.f64 z #s(literal -1/2 binary64)) (/.f64 x z))) #s(literal 1 binary64)))
(fma.f64 y (pow.f64 z #s(literal -1/2 binary64)) (/.f64 x z))
(fma.f64 y (pow.f64 z #s(literal -1/2 binary64)) (/.f64 x z))
(fma.f64 x (/.f64 #s(literal 1 binary64) z) (/.f64 y (sqrt.f64 z)))
(+.f64 (/.f64 x z) (/.f64 y (sqrt.f64 z)))
(fma.f64 #s(literal 1 binary64) (/.f64 y (sqrt.f64 z)) (/.f64 x z))
(+.f64 (/.f64 x z) (/.f64 y (sqrt.f64 z)))
(fma.f64 #s(literal 1 binary64) (/.f64 x z) (/.f64 y (sqrt.f64 z)))
(+.f64 (/.f64 x z) (/.f64 y (sqrt.f64 z)))
(fma.f64 (pow.f64 z #s(literal -1/2 binary64)) y (/.f64 x z))
(fma.f64 y (pow.f64 z #s(literal -1/2 binary64)) (/.f64 x z))
(fma.f64 (cbrt.f64 (pow.f64 (/.f64 x z) #s(literal 2 binary64))) (cbrt.f64 (/.f64 x z)) (/.f64 y (sqrt.f64 z)))
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 y (sqrt.f64 z))) #s(literal 2 binary64)) (cbrt.f64 (/.f64 y (sqrt.f64 z))) (/.f64 x z))
(+.f64 (/.f64 x z) (/.f64 y (sqrt.f64 z)))
(fma.f64 (sqrt.f64 (/.f64 x z)) (sqrt.f64 (/.f64 x z)) (/.f64 y (sqrt.f64 z)))
(+.f64 (/.f64 x z) (/.f64 y (sqrt.f64 z)))
(fma.f64 (sqrt.f64 (/.f64 y (sqrt.f64 z))) (sqrt.f64 (/.f64 y (sqrt.f64 z))) (/.f64 x z))
(+.f64 (/.f64 x z) (/.f64 y (sqrt.f64 z)))

eval307.0ms (1.5%)

Compiler

Compiled 13089 to 2969 computations (77.3% saved)

prune347.0ms (1.7%)

Pruning

21 alts after pruning (15 fresh and 6 done)

PrunedKeptTotal
New81312825
Fresh336
Picked325
Done246
Total82121842
Accuracy
100.0%
Counts
842 → 21
Alt Table
Click to see full alt table
StatusAccuracyProgram
63.5%
(/.f64 (*.f64 (-.f64 z (pow.f64 (/.f64 x y) #s(literal 2 binary64))) (*.f64 #s(literal 1/2 binary64) y)) (-.f64 (sqrt.f64 z) (/.f64 x y)))
40.8%
(/.f64 (*.f64 (*.f64 y #s(literal 1/2 binary64)) x) y)
39.8%
(/.f64 (*.f64 y #s(literal 1/2 binary64)) (/.f64 y x))
40.7%
(/.f64 #s(literal 1 binary64) (/.f64 y (*.f64 (*.f64 y #s(literal 1/2 binary64)) x)))
40.7%
(*.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 y (*.f64 #s(literal 1/2 binary64) x)))
86.9%
(*.f64 (*.f64 y #s(literal 1/2 binary64)) (+.f64 (sqrt.f64 z) (/.f64 x y)))
86.8%
(*.f64 (*.f64 y #s(literal 1/2 binary64)) (+.f64 (sqrt.f64 z) (*.f64 (/.f64 #s(literal 1 binary64) y) x)))
73.9%
(*.f64 (*.f64 y #s(literal 1/2 binary64)) (*.f64 z (+.f64 (pow.f64 z #s(literal -1/2 binary64)) (/.f64 x (*.f64 y z)))))
82.3%
(*.f64 (*.f64 y #s(literal 1/2 binary64)) (*.f64 x (+.f64 (/.f64 (sqrt.f64 z) x) (/.f64 #s(literal 1 binary64) y))))
49.6%
(*.f64 (sqrt.f64 z) (*.f64 y #s(literal 1/2 binary64)))
36.2%
(*.f64 (cbrt.f64 (pow.f64 z #s(literal 3/2 binary64))) (*.f64 y #s(literal 1/2 binary64)))
40.0%
(*.f64 z (*.f64 #s(literal 1/2 binary64) (/.f64 x z)))
80.5%
(*.f64 z (*.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 y (sqrt.f64 z)) (/.f64 x z))))
42.5%
(*.f64 z (*.f64 #s(literal 1/2 binary64) (*.f64 y (pow.f64 z #s(literal -1/2 binary64)))))
42.5%
(*.f64 z (*.f64 #s(literal 1/2 binary64) (*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))))
38.5%
(*.f64 y (*.f64 (/.f64 #s(literal 1/2 binary64) y) x))
87.8%
(*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 y (/.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 z)) x))))
37.4%
(*.f64 x (*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 y x) (sqrt.f64 z))))
99.8%
(*.f64 #s(literal 1/2 binary64) (+.f64 x (*.f64 y (sqrt.f64 z))))
51.5%
(*.f64 #s(literal 1/2 binary64) x)
14.2%
(sqrt.f64 (*.f64 (*.f64 z (*.f64 y y)) #s(literal 1/4 binary64)))
Compiler

Compiled 723 to 342 computations (52.7% saved)

regimes123.0ms (0.6%)

Counts
43 → 1
Calls
Call 1
Inputs
(*.f64 #s(literal 1/2 binary64) x)
(*.f64 y (*.f64 (/.f64 #s(literal 1/2 binary64) y) x))
(*.f64 z (*.f64 #s(literal 1/2 binary64) (/.f64 x z)))
(*.f64 (*.f64 y #s(literal 1/2 binary64)) (/.f64 x y))
(/.f64 (*.f64 y #s(literal 1/2 binary64)) (/.f64 y x))
(/.f64 (*.f64 (*.f64 y #s(literal 1/2 binary64)) x) y)
(*.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 y (*.f64 #s(literal 1/2 binary64) x)))
(/.f64 #s(literal 1 binary64) (/.f64 y (*.f64 (*.f64 y #s(literal 1/2 binary64)) x)))
(*.f64 (sqrt.f64 z) (*.f64 y #s(literal 1/2 binary64)))
(sqrt.f64 (*.f64 (*.f64 z (*.f64 y y)) #s(literal 1/4 binary64)))
(*.f64 #s(literal 1/2 binary64) (+.f64 x (*.f64 y (sqrt.f64 z))))
(*.f64 z (*.f64 #s(literal 1/2 binary64) (*.f64 y (pow.f64 z #s(literal -1/2 binary64)))))
(*.f64 x (*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 y x) (sqrt.f64 z))))
(*.f64 z (*.f64 #s(literal 1/2 binary64) (*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))))
(*.f64 (*.f64 y #s(literal 1/2 binary64)) (+.f64 (sqrt.f64 z) (/.f64 x y)))
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 x (*.f64 y (sqrt.f64 z))))
(*.f64 x (*.f64 (+.f64 (*.f64 y (/.f64 (sqrt.f64 z) x)) #s(literal 1 binary64)) #s(literal 1/2 binary64)))
(*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 y x) (sqrt.f64 z)))))
(*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 y (*.f64 (sqrt.f64 z) (/.f64 #s(literal 1/2 binary64) x)))))
(*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 y (/.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 z)) x))))
(*.f64 z (*.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 y (sqrt.f64 z)) (/.f64 x z))))
(*.f64 (*.f64 y #s(literal 1/2 binary64)) (+.f64 (sqrt.f64 z) (*.f64 (/.f64 #s(literal 1 binary64) y) x)))
(*.f64 #s(literal 1/2 binary64) (*.f64 z (+.f64 (*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) (/.f64 x z))))
(*.f64 x (*.f64 y (+.f64 (/.f64 #s(literal 1/2 binary64) y) (*.f64 #s(literal 1/2 binary64) (/.f64 (sqrt.f64 z) x)))))
(*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) y) (sqrt.f64 z)))))
(*.f64 z (*.f64 #s(literal 1/2 binary64) (+.f64 (*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) (/.f64 x z))))
(*.f64 (*.f64 y #s(literal 1/2 binary64)) (*.f64 x (+.f64 (/.f64 (sqrt.f64 z) x) (/.f64 #s(literal 1 binary64) y))))
(*.f64 (*.f64 y #s(literal 1/2 binary64)) (*.f64 z (+.f64 (pow.f64 z #s(literal -1/2 binary64)) (/.f64 x (*.f64 y z)))))
(*.f64 (*.f64 y #s(literal 1/2 binary64)) (*.f64 z (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (/.f64 x (*.f64 y z)))))
(*.f64 x (*.f64 y (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 z))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y)))))
(*.f64 #s(literal 1/2 binary64) (fma.f64 y (sqrt.f64 z) x))
(sqrt.f64 (*.f64 (*.f64 z (pow.f64 y #s(literal 2 binary64))) #s(literal 1/4 binary64)))
(*.f64 (cbrt.f64 (pow.f64 z #s(literal 3/2 binary64))) (*.f64 y #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (pow.f64 z #s(literal 1/4 binary64)) #s(literal 2 binary64)) (*.f64 y #s(literal 1/2 binary64)))
(*.f64 #s(literal 1/2 binary64) (+.f64 x (sqrt.f64 (*.f64 z (pow.f64 y #s(literal 2 binary64))))))
(*.f64 #s(literal 1/2 binary64) (+.f64 x (*.f64 y (cbrt.f64 (pow.f64 z #s(literal 3/2 binary64))))))
(*.f64 #s(literal 1/2 binary64) (+.f64 x (*.f64 y (pow.f64 (pow.f64 z #s(literal 1/4 binary64)) #s(literal 2 binary64)))))
(*.f64 x (fma.f64 (*.f64 y (/.f64 #s(literal 1/2 binary64) x)) (sqrt.f64 z) #s(literal 1/2 binary64)))
(/.f64 (*.f64 (-.f64 z (pow.f64 (/.f64 x y) #s(literal 2 binary64))) (*.f64 #s(literal 1/2 binary64) y)) (-.f64 (sqrt.f64 z) (/.f64 x y)))
(*.f64 #s(literal 1/2 binary64) (+.f64 x (pow.f64 (cbrt.f64 (*.f64 y (sqrt.f64 z))) #s(literal 3 binary64))))
(*.f64 #s(literal 1/2 binary64) (fma.f64 (pow.f64 z #s(literal 1/4 binary64)) (*.f64 (pow.f64 z #s(literal 1/4 binary64)) y) x))
(pow.f64 (cbrt.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 y (sqrt.f64 z) x))) #s(literal 3 binary64))
(*.f64 #s(literal 1/2 binary64) (fma.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (*.f64 (cbrt.f64 y) (sqrt.f64 z)) x))
Outputs
(*.f64 #s(literal 1/2 binary64) (+.f64 x (*.f64 y (sqrt.f64 z))))
Calls

7 calls:

18.0ms
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 x (*.f64 y (sqrt.f64 z))))
17.0ms
(sqrt.f64 z)
17.0ms
y
16.0ms
(+.f64 x (*.f64 y (sqrt.f64 z)))
16.0ms
z
Results
AccuracySegmentsBranch
99.8%1x
99.8%1y
99.8%1z
99.8%1(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 x (*.f64 y (sqrt.f64 z))))
99.8%1(+.f64 x (*.f64 y (sqrt.f64 z)))
99.8%1(*.f64 y (sqrt.f64 z))
99.8%1(sqrt.f64 z)
Compiler

Compiled 46 to 34 computations (26.1% saved)

regimes25.0ms (0.1%)

Counts
10 → 3
Calls
Call 1
Inputs
(*.f64 #s(literal 1/2 binary64) x)
(*.f64 y (*.f64 (/.f64 #s(literal 1/2 binary64) y) x))
(*.f64 z (*.f64 #s(literal 1/2 binary64) (/.f64 x z)))
(*.f64 (*.f64 y #s(literal 1/2 binary64)) (/.f64 x y))
(/.f64 (*.f64 y #s(literal 1/2 binary64)) (/.f64 y x))
(/.f64 (*.f64 (*.f64 y #s(literal 1/2 binary64)) x) y)
(*.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 y (*.f64 #s(literal 1/2 binary64) x)))
(/.f64 #s(literal 1 binary64) (/.f64 y (*.f64 (*.f64 y #s(literal 1/2 binary64)) x)))
(*.f64 (sqrt.f64 z) (*.f64 y #s(literal 1/2 binary64)))
(sqrt.f64 (*.f64 (*.f64 z (*.f64 y y)) #s(literal 1/4 binary64)))
Outputs
(*.f64 #s(literal 1/2 binary64) x)
(*.f64 (sqrt.f64 z) (*.f64 y #s(literal 1/2 binary64)))
(*.f64 #s(literal 1/2 binary64) x)
Calls

4 calls:

6.0ms
(sqrt.f64 z)
6.0ms
z
6.0ms
x
5.0ms
y
Results
AccuracySegmentsBranch
79.1%3x
72.8%3y
65.7%4z
65.7%4(sqrt.f64 z)
Compiler

Compiled 17 to 13 computations (23.5% saved)

regimes17.0ms (0.1%)

Accuracy

Total -17.1b remaining (-55.1%)

Threshold costs -17.1b (-55.1%)

Counts
8 → 1
Calls
Call 1
Inputs
(*.f64 #s(literal 1/2 binary64) x)
(*.f64 y (*.f64 (/.f64 #s(literal 1/2 binary64) y) x))
(*.f64 z (*.f64 #s(literal 1/2 binary64) (/.f64 x z)))
(*.f64 (*.f64 y #s(literal 1/2 binary64)) (/.f64 x y))
(/.f64 (*.f64 y #s(literal 1/2 binary64)) (/.f64 y x))
(/.f64 (*.f64 (*.f64 y #s(literal 1/2 binary64)) x) y)
(*.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 y (*.f64 #s(literal 1/2 binary64) x)))
(/.f64 #s(literal 1 binary64) (/.f64 y (*.f64 (*.f64 y #s(literal 1/2 binary64)) x)))
Outputs
(*.f64 #s(literal 1/2 binary64) x)
Calls

3 calls:

6.0ms
x
5.0ms
y
5.0ms
z
Results
AccuracySegmentsBranch
51.5%1z
51.5%1y
51.5%1x
Compiler

Compiled 12 to 9 computations (25% saved)

bsearch63.0ms (0.3%)

Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
29.0ms
3.685604752163708e-49
1.9266692232346477e-47
27.0ms
-5.912485625275039e+99
-2.6724890813568945e+97
Results
34.0ms224×0valid
Compiler

Compiled 257 to 211 computations (17.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 19.0ms
ival-mult: 8.0ms (42.3% of total)
ival-div: 4.0ms (21.2% of total)
ival-sqrt: 4.0ms (21.2% of total)
ival-add: 3.0ms (15.9% of total)
const: 1.0ms (5.3% of total)
backward-pass: 0.0ms (0% of total)

simplify6.0ms (0%)

Algorithm
egg-herbie
Rules
*-commutative
if-if-or-not
+-commutative
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
027106
138106
Stop Event
saturated
Calls
Call 1
Inputs
(*.f64 #s(literal 1/2 binary64) (+.f64 x (*.f64 y (sqrt.f64 z))))
(if (<=.f64 x #s(literal -26999999999999999330555967798339781525753542075599378182798216067052747976803634605628632642617344 binary64)) (*.f64 #s(literal 1/2 binary64) x) (if (<=.f64 x #s(literal 7240220052213307/1645504557321206042154969182557350504982735865633579863348609024 binary64)) (*.f64 (sqrt.f64 z) (*.f64 y #s(literal 1/2 binary64))) (*.f64 #s(literal 1/2 binary64) x)))
(*.f64 #s(literal 1/2 binary64) x)
Outputs
(*.f64 #s(literal 1/2 binary64) (+.f64 x (*.f64 y (sqrt.f64 z))))
(if (<=.f64 x #s(literal -26999999999999999330555967798339781525753542075599378182798216067052747976803634605628632642617344 binary64)) (*.f64 #s(literal 1/2 binary64) x) (if (<=.f64 x #s(literal 7240220052213307/1645504557321206042154969182557350504982735865633579863348609024 binary64)) (*.f64 (sqrt.f64 z) (*.f64 y #s(literal 1/2 binary64))) (*.f64 #s(literal 1/2 binary64) x)))
(if (or (<=.f64 x #s(literal -26999999999999999330555967798339781525753542075599378182798216067052747976803634605628632642617344 binary64)) (not (<=.f64 x #s(literal 7240220052213307/1645504557321206042154969182557350504982735865633579863348609024 binary64)))) (*.f64 #s(literal 1/2 binary64) x) (*.f64 (sqrt.f64 z) (*.f64 #s(literal 1/2 binary64) y)))
(*.f64 #s(literal 1/2 binary64) x)

soundness931.0ms (4.6%)

Rules
969×fma-neg
453×fma-define
427×associate-/l*
331×distribute-lft-neg-in
318×cancel-sign-sub-inv
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
044376
1128332
2369332
3781332
41343332
52233332
62744332
73237332
83551332
93704332
103785332
113835332
123835332
040113640
191512464
2318212336
Stop Event
fuel
node limit
saturated
Compiler

Compiled 80 to 42 computations (47.5% saved)

preprocess71.0ms (0.3%)

Compiler

Compiled 90 to 56 computations (37.8% saved)

end0.0ms (0%)

Profiling

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