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

Time bar (total: 16.6s)

analyze257.0ms (1.5%)

Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%99.9%0.1%0%0%0%0
0%0%99.9%0.1%0%0%0%1
0%0%99.9%0.1%0%0%0%2
0%0%99.9%0.1%0%0%0%3
25%25%74.9%0.1%0%0%0%4
25%25%74.9%0.1%0%0%0%5
25%25%74.9%0.1%0%0%0%6
25%25%74.9%0.1%0%0%0%7
25%25%74.9%0.1%0%0%0%8
26.2%25%70.2%0.1%0%4.7%0%9
28.9%25%61.4%0.1%0%13.5%0%10
31.2%26.3%58%0.1%0%15.5%0%11
37.2%28.9%48.7%0.1%0%22.3%0%12
Compiler

Compiled 18 to 12 computations (33.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 118.0ms
ival-mult: 70.0ms (59.4% of total)
ival-add: 24.0ms (20.4% of total)
ival-sqrt: 20.0ms (17% of total)
const: 3.0ms (2.5% of total)
backward-pass: 1.0ms (0.8% of total)

sample2.3s (14.1%)

Results
1.2s8256×0valid
382.0ms4548×0invalid
Precisions
Click to see histograms. Total time spent on operations: 1.1s
ival-mult: 716.0ms (67.9% of total)
ival-add: 202.0ms (19.2% of total)
ival-sqrt: 115.0ms (10.9% of total)
const: 18.0ms (1.7% of total)
backward-pass: 5.0ms (0.5% of total)
Bogosity

preprocess284.0ms (1.7%)

Algorithm
egg-herbie
Rules
843×fma-neg
694×fma-define
234×cancel-sign-sub-inv
147×sub-neg
102×associate-+l-
Iterations

Useful iterations: 2 (0.0ms)

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

(sort x y z)

explain110.0ms (0.7%)

FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
880-1(8.993303019761906e-208 1.4167048758960377e-185 1.116538210713216e-131)(sqrt.f64 (+.f64 (+.f64 (*.f64 x y) (*.f64 x z)) (*.f64 y z)))
70-0-(+.f64 (+.f64 (*.f64 x y) (*.f64 x z)) (*.f64 y z))
20-0-(+.f64 (*.f64 x y) (*.f64 x z))
00-0-x
00-0-(*.f64 y z)
00-0-y
00-0-#s(literal 2 binary64)
00-0-(*.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (+.f64 (*.f64 x y) (*.f64 x z)) (*.f64 y z))))
00-0-(*.f64 x y)
00-0-(*.f64 x z)
00-0-z
Results
66.0ms512×0valid
Compiler

Compiled 139 to 35 computations (74.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 33.0ms
ival-mult: 20.0ms (60.6% of total)
ival-add: 7.0ms (21.2% of total)
ival-sqrt: 4.0ms (12.1% of total)
const: 1.0ms (3% of total)
backward-pass: 0.0ms (0% of total)

eval1.0ms (0%)

Compiler

Compiled 37 to 20 computations (45.9% saved)

prune2.0ms (0%)

Alt Table
Click to see full alt table
StatusAccuracyProgram
67.8%
(*.f64 #s(literal 2 binary64) (sqrt.f64 (fma.f64 x z (*.f64 y (+.f64 x z)))))
67.8%
(*.f64 #s(literal 2 binary64) (sqrt.f64 (fma.f64 x y (*.f64 z (+.f64 x y)))))
67.6%
(*.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (*.f64 x y) (*.f64 z (+.f64 y x)))))
Compiler

Compiled 43 to 28 computations (34.9% saved)

simplify15.0ms (0.1%)

Algorithm
egg-herbie
Localize:

Found 12 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 y (+.f64 x z))
cost-diff0
(fma.f64 x z (*.f64 y (+.f64 x z)))
cost-diff0
(sqrt.f64 (fma.f64 x z (*.f64 y (+.f64 x z))))
cost-diff0
(*.f64 #s(literal 2 binary64) (sqrt.f64 (fma.f64 x z (*.f64 y (+.f64 x z)))))
cost-diff0
(*.f64 z (+.f64 x y))
cost-diff0
(fma.f64 x y (*.f64 z (+.f64 x y)))
cost-diff0
(sqrt.f64 (fma.f64 x y (*.f64 z (+.f64 x y))))
cost-diff0
(*.f64 #s(literal 2 binary64) (sqrt.f64 (fma.f64 x y (*.f64 z (+.f64 x y)))))
cost-diff-6272
(*.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (*.f64 x y) (*.f64 z (+.f64 y x)))))
cost-diff0
(+.f64 y x)
cost-diff0
(*.f64 z (+.f64 y x))
cost-diff0
(*.f64 x y)
Rules
26×fma-define
*-commutative
associate-+r+
associate-+l+
+-commutative
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
028523
150523
279523
395523
498523
599523
Stop Event
saturated
Calls
Call 1
Inputs
(*.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (*.f64 x y) (*.f64 z (+.f64 y x)))))
#s(literal 2 binary64)
(sqrt.f64 (+.f64 (*.f64 x y) (*.f64 z (+.f64 y x))))
(+.f64 (*.f64 x y) (*.f64 z (+.f64 y x)))
(*.f64 x y)
x
y
(*.f64 z (+.f64 y x))
z
(+.f64 y x)
(*.f64 #s(literal 2 binary64) (sqrt.f64 (fma.f64 x y (*.f64 z (+.f64 x y)))))
#s(literal 2 binary64)
(sqrt.f64 (fma.f64 x y (*.f64 z (+.f64 x y))))
(fma.f64 x y (*.f64 z (+.f64 x y)))
x
y
(*.f64 z (+.f64 x y))
z
(+.f64 x y)
(*.f64 #s(literal 2 binary64) (sqrt.f64 (fma.f64 x z (*.f64 y (+.f64 x z)))))
#s(literal 2 binary64)
(sqrt.f64 (fma.f64 x z (*.f64 y (+.f64 x z))))
(fma.f64 x z (*.f64 y (+.f64 x z)))
x
z
(*.f64 y (+.f64 x z))
y
(+.f64 x z)
Outputs
(*.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (*.f64 x y) (*.f64 z (+.f64 y x)))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (fma.f64 x y (*.f64 z (+.f64 x y)))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (fma.f64 x (+.f64 y z) (*.f64 y z))))
#s(literal 2 binary64)
(sqrt.f64 (+.f64 (*.f64 x y) (*.f64 z (+.f64 y x))))
(sqrt.f64 (fma.f64 x y (*.f64 z (+.f64 x y))))
(sqrt.f64 (fma.f64 x (+.f64 y z) (*.f64 y z)))
(+.f64 (*.f64 x y) (*.f64 z (+.f64 y x)))
(fma.f64 x y (*.f64 z (+.f64 x y)))
(fma.f64 x (+.f64 y z) (*.f64 y z))
(*.f64 x y)
x
y
(*.f64 z (+.f64 y x))
(*.f64 z (+.f64 x y))
z
(+.f64 y x)
(+.f64 x y)
(*.f64 #s(literal 2 binary64) (sqrt.f64 (fma.f64 x y (*.f64 z (+.f64 x y)))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (fma.f64 x (+.f64 y z) (*.f64 y z))))
#s(literal 2 binary64)
(sqrt.f64 (fma.f64 x y (*.f64 z (+.f64 x y))))
(sqrt.f64 (fma.f64 x (+.f64 y z) (*.f64 y z)))
(fma.f64 x y (*.f64 z (+.f64 x y)))
(fma.f64 x (+.f64 y z) (*.f64 y z))
x
y
(*.f64 z (+.f64 x y))
z
(+.f64 x y)
(*.f64 #s(literal 2 binary64) (sqrt.f64 (fma.f64 x z (*.f64 y (+.f64 x z)))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (fma.f64 x y (*.f64 z (+.f64 x y)))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (fma.f64 x (+.f64 y z) (*.f64 y z))))
#s(literal 2 binary64)
(sqrt.f64 (fma.f64 x z (*.f64 y (+.f64 x z))))
(sqrt.f64 (fma.f64 x y (*.f64 z (+.f64 x y))))
(sqrt.f64 (fma.f64 x (+.f64 y z) (*.f64 y z)))
(fma.f64 x z (*.f64 y (+.f64 x z)))
(fma.f64 x y (*.f64 z (+.f64 x y)))
(fma.f64 x (+.f64 y z) (*.f64 y z))
x
z
(*.f64 y (+.f64 x z))
y
(+.f64 x z)

localize180.0ms (1.1%)

Localize:

Found 12 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(*.f64 y (+.f64 x z))
accuracy100.0%
(*.f64 #s(literal 2 binary64) (sqrt.f64 (fma.f64 x z (*.f64 y (+.f64 x z)))))
accuracy100.0%
(fma.f64 x z (*.f64 y (+.f64 x z)))
accuracy67.8%
(sqrt.f64 (fma.f64 x z (*.f64 y (+.f64 x z))))
accuracy100.0%
(*.f64 #s(literal 2 binary64) (sqrt.f64 (fma.f64 x y (*.f64 z (+.f64 x y)))))
accuracy100.0%
(*.f64 z (+.f64 x y))
accuracy99.2%
(fma.f64 x y (*.f64 z (+.f64 x y)))
accuracy67.8%
(sqrt.f64 (fma.f64 x y (*.f64 z (+.f64 x y))))
accuracy100.0%
(*.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (*.f64 x y) (*.f64 z (+.f64 y x)))))
accuracy100.0%
(*.f64 z (+.f64 y x))
accuracy98.1%
(+.f64 (*.f64 x y) (*.f64 z (+.f64 y x)))
accuracy67.8%
(sqrt.f64 (+.f64 (*.f64 x y) (*.f64 z (+.f64 y x))))
Results
155.0ms256×0valid
Compiler

Compiled 130 to 21 computations (83.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 130.0ms
ival-mult: 104.0ms (80.2% of total)
ival-sqrt: 14.0ms (10.8% of total)
ival-fma: 6.0ms (4.6% of total)
ival-add: 5.0ms (3.9% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

series148.0ms (0.9%)

Counts
14 → 432
Calls
Call 1
Inputs
#<alt (*.f64 x y)>
#<alt (*.f64 z (+.f64 y x))>
#<alt (+.f64 y x)>
#<alt (*.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (*.f64 x y) (*.f64 z (+.f64 y x)))))>
#<alt (*.f64 #s(literal 2 binary64) (sqrt.f64 (fma.f64 x y (*.f64 z (+.f64 x y)))))>
#<alt (sqrt.f64 (fma.f64 x y (*.f64 z (+.f64 x y))))>
#<alt (fma.f64 x y (*.f64 z (+.f64 x y)))>
#<alt (*.f64 z (+.f64 x y))>
#<alt (*.f64 #s(literal 2 binary64) (sqrt.f64 (fma.f64 x z (*.f64 y (+.f64 x z)))))>
#<alt (sqrt.f64 (fma.f64 x z (*.f64 y (+.f64 x z))))>
#<alt (fma.f64 x z (*.f64 y (+.f64 x z)))>
#<alt (*.f64 y (+.f64 x z))>
#<alt (sqrt.f64 (+.f64 (*.f64 x y) (*.f64 z (+.f64 y x))))>
#<alt (+.f64 (*.f64 x y) (*.f64 z (+.f64 y x)))>
Outputs
#<alt (*.f64 z (+.f64 x y))>
#<alt (*.f64 z (+.f64 x y))>
#<alt (*.f64 z (+.f64 x y))>
#<alt (*.f64 z (+.f64 x y))>
#<alt (*.f64 z (+.f64 x y))>
#<alt (*.f64 z (+.f64 x y))>
#<alt (*.f64 z (+.f64 x y))>
#<alt (*.f64 z (+.f64 x y))>
#<alt (*.f64 z (+.f64 x y))>
#<alt (*.f64 z (+.f64 x y))>
#<alt (*.f64 z (+.f64 x y))>
#<alt (*.f64 z (+.f64 x y))>
#<alt (*.f64 x z)>
#<alt (+.f64 (*.f64 x z) (*.f64 y z))>
#<alt (+.f64 (*.f64 x z) (*.f64 y z))>
#<alt (+.f64 (*.f64 x z) (*.f64 y z))>
#<alt (*.f64 y z)>
#<alt (*.f64 y (+.f64 z (/.f64 (*.f64 x z) y)))>
#<alt (*.f64 y (+.f64 z (/.f64 (*.f64 x z) y)))>
#<alt (*.f64 y (+.f64 z (/.f64 (*.f64 x z) y)))>
#<alt (*.f64 y z)>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) z) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) y)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) z) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) y)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) z) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) y)))))>
#<alt (*.f64 y z)>
#<alt (+.f64 (*.f64 x z) (*.f64 y z))>
#<alt (+.f64 (*.f64 x z) (*.f64 y z))>
#<alt (+.f64 (*.f64 x z) (*.f64 y z))>
#<alt (*.f64 x z)>
#<alt (*.f64 x (+.f64 z (/.f64 (*.f64 y z) x)))>
#<alt (*.f64 x (+.f64 z (/.f64 (*.f64 y z) x)))>
#<alt (*.f64 x (+.f64 z (/.f64 (*.f64 y z) x)))>
#<alt (*.f64 x z)>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) z) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 y z) x)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) z) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 y z) x)))))>
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#<alt (*.f64 y (+.f64 x z))>
#<alt (*.f64 y (+.f64 x (+.f64 z (/.f64 (*.f64 x z) y))))>
#<alt (*.f64 y (+.f64 x (+.f64 z (/.f64 (*.f64 x z) y))))>
#<alt (*.f64 y (+.f64 x (+.f64 z (/.f64 (*.f64 x z) y))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1 binary64) z))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) x) (+.f64 (*.f64 #s(literal -1 binary64) z) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) y))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) x) (+.f64 (*.f64 #s(literal -1 binary64) z) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) y))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) x) (+.f64 (*.f64 #s(literal -1 binary64) z) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) y))))))>
#<alt (*.f64 x y)>
#<alt (+.f64 (*.f64 x y) (*.f64 z (+.f64 x y)))>
#<alt (+.f64 (*.f64 x y) (*.f64 z (+.f64 x y)))>
#<alt (+.f64 (*.f64 x y) (*.f64 z (+.f64 x y)))>
#<alt (*.f64 z (+.f64 x y))>
#<alt (*.f64 z (+.f64 x (+.f64 y (/.f64 (*.f64 x y) z))))>
#<alt (*.f64 z (+.f64 x (+.f64 y (/.f64 (*.f64 x y) z))))>
#<alt (*.f64 z (+.f64 x (+.f64 y (/.f64 (*.f64 x y) z))))>
#<alt (*.f64 z (+.f64 x y))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) (+.f64 x y)) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x y) z)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) (+.f64 x y)) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x y) z)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) (+.f64 x y)) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x y) z)))))>
Calls

120 calls:

TimeVariablePointExpression
57.0ms
y
@-inf
(* x y)
4.0ms
y
@-inf
(* 2 (sqrt (+ (* x z) (* y (+ x z)))))
3.0ms
x
@inf
(* 2 (sqrt (+ (* x z) (* y (+ x z)))))
3.0ms
y
@inf
(* 2 (sqrt (+ (* x y) (* z (+ y x)))))
2.0ms
y
@-inf
(* 2 (sqrt (+ (* x y) (* z (+ y x)))))

rewrite448.0ms (2.7%)

Algorithm
batch-egg-rewrite
Rules
983×log1p-expm1-u
790×expm1-log1p-u
157×add-cube-cbrt
155×add-exp-log
155×add-log-exp
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
028458
1439458
25185458
Stop Event
node limit
Counts
14 → 405
Calls
Call 1
Inputs
(*.f64 x y)
(*.f64 z (+.f64 y x))
(+.f64 y x)
(*.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (*.f64 x y) (*.f64 z (+.f64 y x)))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (fma.f64 x y (*.f64 z (+.f64 x y)))))
(sqrt.f64 (fma.f64 x y (*.f64 z (+.f64 x y))))
(fma.f64 x y (*.f64 z (+.f64 x y)))
(*.f64 z (+.f64 x y))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (fma.f64 x z (*.f64 y (+.f64 x z)))))
(sqrt.f64 (fma.f64 x z (*.f64 y (+.f64 x z))))
(fma.f64 x z (*.f64 y (+.f64 x z)))
(*.f64 y (+.f64 x z))
(sqrt.f64 (+.f64 (*.f64 x y) (*.f64 z (+.f64 y x))))
(+.f64 (*.f64 x y) (*.f64 z (+.f64 y x)))
Outputs
(-.f64 (exp.f64 (log1p.f64 (*.f64 x y))) #s(literal 1 binary64))
(pow.f64 (*.f64 x y) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 x y)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 x y) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 x y)) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 y) x))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x y))))
(cbrt.f64 (pow.f64 (*.f64 x y) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 x y)))
(log1p.f64 (expm1.f64 (*.f64 x y)))
(exp.f64 (log.f64 (*.f64 x y)))
(exp.f64 (*.f64 (log.f64 (*.f64 x y)) #s(literal 1 binary64)))
(+.f64 (*.f64 x z) (*.f64 y z))
(+.f64 (*.f64 y z) (*.f64 x z))
(+.f64 (*.f64 (*.f64 x z) #s(literal 1 binary64)) (*.f64 (*.f64 y z) #s(literal 1 binary64)))
(+.f64 (*.f64 (*.f64 y z) #s(literal 1 binary64)) (*.f64 (*.f64 x z) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 z (+.f64 x y)))) #s(literal 1 binary64))
(/.f64 (+.f64 (pow.f64 (*.f64 y z) #s(literal 3 binary64)) (pow.f64 (*.f64 x z) #s(literal 3 binary64))) (+.f64 (*.f64 (*.f64 y z) (*.f64 y z)) (-.f64 (*.f64 (*.f64 x z) (*.f64 x z)) (*.f64 (*.f64 y z) (*.f64 x z)))))
(/.f64 (+.f64 (pow.f64 (*.f64 x z) #s(literal 3 binary64)) (pow.f64 (*.f64 y z) #s(literal 3 binary64))) (+.f64 (*.f64 (*.f64 x z) (*.f64 x z)) (-.f64 (*.f64 (*.f64 y z) (*.f64 y z)) (*.f64 (*.f64 x z) (*.f64 y z)))))
(/.f64 (-.f64 (*.f64 (*.f64 y z) (*.f64 y z)) (*.f64 (*.f64 x z) (*.f64 x z))) (-.f64 (*.f64 y z) (*.f64 x z)))
(/.f64 (-.f64 (*.f64 (*.f64 x z) (*.f64 x z)) (*.f64 (*.f64 y z) (*.f64 y z))) (-.f64 (*.f64 x z) (*.f64 y z)))
(/.f64 (*.f64 z (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 y y (*.f64 x (-.f64 x y))))
(/.f64 (*.f64 z (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 x x (*.f64 y (-.f64 y x))))
(/.f64 (*.f64 z (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))) (-.f64 y x))
(/.f64 (*.f64 z (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))) (-.f64 x y))
(/.f64 (*.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) z) (fma.f64 y y (*.f64 x (-.f64 x y))))
(/.f64 (*.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) z) (fma.f64 x x (*.f64 y (-.f64 y x))))
(/.f64 (*.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) z) (-.f64 y x))
(/.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) z) (-.f64 x y))
(pow.f64 (*.f64 z (+.f64 x y)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 z (+.f64 x y))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 z (+.f64 x y)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 z (+.f64 x y))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 z (+.f64 x y)) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 (+.f64 x y)) z))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 z (+.f64 x y)))))
(cbrt.f64 (pow.f64 (*.f64 z (+.f64 x y)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 z (+.f64 x y))))
(log1p.f64 (expm1.f64 (*.f64 z (+.f64 x y))))
(exp.f64 (log.f64 (*.f64 z (+.f64 x y))))
(exp.f64 (*.f64 (log.f64 (*.f64 z (+.f64 x y))) #s(literal 1 binary64)))
(fma.f64 x z (*.f64 y z))
(fma.f64 y z (*.f64 x z))
(fma.f64 z x (*.f64 y z))
(fma.f64 z y (*.f64 x z))
(-.f64 (exp.f64 (log1p.f64 (+.f64 x y))) #s(literal 1 binary64))
(-.f64 (/.f64 (pow.f64 y #s(literal 2 binary64)) (-.f64 y x)) (/.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 y x)))
(-.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 x y)) (/.f64 (pow.f64 y #s(literal 2 binary64)) (-.f64 x y)))
(*.f64 (+.f64 x y) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (+.f64 x y))
(*.f64 (cbrt.f64 (+.f64 x y)) (pow.f64 (cbrt.f64 (+.f64 x y)) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 x y)) #s(literal 2 binary64)) (cbrt.f64 (+.f64 x y)))
(*.f64 (sqrt.f64 (+.f64 x y)) (sqrt.f64 (+.f64 x y)))
(*.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 y y (*.f64 x (-.f64 x y)))))
(*.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x x (*.f64 y (-.f64 y x)))))
(*.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 y x)))
(*.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 x y)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y y (*.f64 x (-.f64 x y))) (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x x (*.f64 y (-.f64 y x))) (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 y x) (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))))
(/.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 y y (*.f64 x (-.f64 x y))))
(/.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 x x (*.f64 y (-.f64 y x))))
(/.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) (-.f64 y x))
(/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (-.f64 x y))
(/.f64 (neg.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (fma.f64 y y (*.f64 x (-.f64 x y)))))
(/.f64 (neg.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (fma.f64 x x (*.f64 y (-.f64 y x)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))) (neg.f64 (-.f64 y x)))
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))) (neg.f64 (-.f64 x y)))
(pow.f64 (+.f64 x y) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (+.f64 x y)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (+.f64 x y) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (+.f64 x y)) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (+.f64 x y) #s(literal 2 binary64)))
(log.f64 (exp.f64 (+.f64 x y)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (+.f64 x y))))
(cbrt.f64 (pow.f64 (+.f64 x y) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (+.f64 x y)))
(log1p.f64 (expm1.f64 (+.f64 x y)))
(exp.f64 (log.f64 (+.f64 x y)))
(exp.f64 (*.f64 (log.f64 (+.f64 x y)) #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) x y)
(fma.f64 #s(literal 1 binary64) y x)
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (cbrt.f64 x) y)
(fma.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (cbrt.f64 y) x)
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) y)
(fma.f64 (sqrt.f64 y) (sqrt.f64 y) x)
(-.f64 (exp.f64 (log1p.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (fma.f64 x z (*.f64 y (+.f64 x z))))))) #s(literal 1 binary64))
(pow.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (fma.f64 x z (*.f64 y (+.f64 x z))))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (fma.f64 x z (*.f64 y (+.f64 x z)))))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (fma.f64 x z (*.f64 y (+.f64 x z))))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (fma.f64 x z (*.f64 y (+.f64 x z)))))) #s(literal 2 binary64))
(sqrt.f64 (*.f64 (fma.f64 x z (*.f64 y (+.f64 x z))) #s(literal 4 binary64)))
(log.f64 (pow.f64 (exp.f64 (sqrt.f64 (fma.f64 x z (*.f64 y (+.f64 x z))))) #s(literal 2 binary64)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (fma.f64 x z (*.f64 y (+.f64 x z))))))))
(cbrt.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (fma.f64 x z (*.f64 y (+.f64 x z))))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (fma.f64 x z (*.f64 y (+.f64 x z)))))))
(log1p.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (fma.f64 x z (*.f64 y (+.f64 x z)))))))
(exp.f64 (log.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (fma.f64 x z (*.f64 y (+.f64 x z)))))))
(exp.f64 (*.f64 (log.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (fma.f64 x z (*.f64 y (+.f64 x z)))))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (fma.f64 x z (*.f64 y (+.f64 x z))))))) #s(literal 1 binary64))
(pow.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (fma.f64 x z (*.f64 y (+.f64 x z))))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (fma.f64 x z (*.f64 y (+.f64 x z)))))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (fma.f64 x z (*.f64 y (+.f64 x z))))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (fma.f64 x z (*.f64 y (+.f64 x z)))))) #s(literal 2 binary64))
(sqrt.f64 (*.f64 (fma.f64 x z (*.f64 y (+.f64 x z))) #s(literal 4 binary64)))
(log.f64 (pow.f64 (exp.f64 (sqrt.f64 (fma.f64 x z (*.f64 y (+.f64 x z))))) #s(literal 2 binary64)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (fma.f64 x z (*.f64 y (+.f64 x z))))))))
(cbrt.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (fma.f64 x z (*.f64 y (+.f64 x z))))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (fma.f64 x z (*.f64 y (+.f64 x z)))))))
(log1p.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (fma.f64 x z (*.f64 y (+.f64 x z)))))))
(exp.f64 (log.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (fma.f64 x z (*.f64 y (+.f64 x z)))))))
(exp.f64 (*.f64 (log.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (fma.f64 x z (*.f64 y (+.f64 x z)))))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (fma.f64 x z (*.f64 y (+.f64 x z)))))) #s(literal 1 binary64))
(*.f64 (sqrt.f64 (fma.f64 x z (*.f64 y (+.f64 x z)))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x z (*.f64 y (+.f64 x z)))))
(*.f64 (cbrt.f64 (sqrt.f64 (fma.f64 x z (*.f64 y (+.f64 x z))))) (cbrt.f64 (fma.f64 x z (*.f64 y (+.f64 x z)))))
(*.f64 (cbrt.f64 (fma.f64 x z (*.f64 y (+.f64 x z)))) (cbrt.f64 (sqrt.f64 (fma.f64 x z (*.f64 y (+.f64 x z))))))
(*.f64 (pow.f64 (fma.f64 x z (*.f64 y (+.f64 x z))) #s(literal 1/4 binary64)) (pow.f64 (fma.f64 x z (*.f64 y (+.f64 x z))) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/2 binary64)) (sqrt.f64 (fma.f64 x z (*.f64 y (+.f64 x z)))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (fma.f64 x z (*.f64 y (+.f64 x z)))) #s(literal 2 binary64)) #s(literal 1/2 binary64)) (pow.f64 (cbrt.f64 (fma.f64 x z (*.f64 y (+.f64 x z)))) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 x z (*.f64 y (+.f64 x z)))) #s(literal 2 binary64))) (sqrt.f64 (cbrt.f64 (fma.f64 x z (*.f64 y (+.f64 x z))))))
(/.f64 (sqrt.f64 (-.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (pow.f64 (*.f64 z (+.f64 x y)) #s(literal 2 binary64)))) (sqrt.f64 (-.f64 (*.f64 x y) (*.f64 z (+.f64 x y)))))
(/.f64 (sqrt.f64 (+.f64 (pow.f64 (*.f64 z (+.f64 x y)) #s(literal 3 binary64)) (pow.f64 (*.f64 x y) #s(literal 3 binary64)))) (sqrt.f64 (+.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (*.f64 (*.f64 z (+.f64 x y)) (-.f64 (*.f64 z (+.f64 x y)) (*.f64 x y))))))
(pow.f64 (fma.f64 x z (*.f64 y (+.f64 x z))) #s(literal 1/2 binary64))
(pow.f64 (sqrt.f64 (fma.f64 x z (*.f64 y (+.f64 x z)))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (sqrt.f64 (fma.f64 x z (*.f64 y (+.f64 x z))))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (fma.f64 x z (*.f64 y (+.f64 x z))) #s(literal 3/2 binary64)) #s(literal 1/3 binary64))
(pow.f64 (pow.f64 (fma.f64 x z (*.f64 y (+.f64 x z))) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(fabs.f64 (sqrt.f64 (fma.f64 x z (*.f64 y (+.f64 x z)))))
(log.f64 (exp.f64 (sqrt.f64 (fma.f64 x z (*.f64 y (+.f64 x z))))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (sqrt.f64 (fma.f64 x z (*.f64 y (+.f64 x z)))))))
(cbrt.f64 (pow.f64 (fma.f64 x z (*.f64 y (+.f64 x z))) #s(literal 3/2 binary64)))
(expm1.f64 (log1p.f64 (sqrt.f64 (fma.f64 x z (*.f64 y (+.f64 x z))))))
(hypot.f64 (sqrt.f64 (*.f64 z (+.f64 x y))) (sqrt.f64 (*.f64 x y)))
(hypot.f64 (sqrt.f64 (*.f64 x y)) (sqrt.f64 (*.f64 z (+.f64 x y))))
(log1p.f64 (expm1.f64 (sqrt.f64 (fma.f64 x z (*.f64 y (+.f64 x z))))))
(exp.f64 (log.f64 (sqrt.f64 (fma.f64 x z (*.f64 y (+.f64 x z))))))
(exp.f64 (*.f64 (log.f64 (fma.f64 x z (*.f64 y (+.f64 x z)))) #s(literal 1/2 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (fma.f64 x z (*.f64 y (+.f64 x z))))) #s(literal 1 binary64)))
(+.f64 (*.f64 x y) (*.f64 z (+.f64 x y)))
(+.f64 (*.f64 z (+.f64 x y)) (*.f64 x y))
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(/.f64 (+.f64 (pow.f64 (*.f64 z (+.f64 x y)) #s(literal 3 binary64)) (pow.f64 (*.f64 x y) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 z (+.f64 x y)) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (*.f64 (*.f64 x y) (*.f64 z (+.f64 x y))))))
(/.f64 (-.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (pow.f64 (*.f64 z (+.f64 x y)) #s(literal 2 binary64))) (-.f64 (*.f64 x y) (*.f64 z (+.f64 x y))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 z (+.f64 x y)) #s(literal 3 binary64)) (pow.f64 (*.f64 x y) #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (*.f64 (*.f64 z (+.f64 x y)) (-.f64 (*.f64 z (+.f64 x y)) (*.f64 x y))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (pow.f64 (*.f64 z (+.f64 x y)) #s(literal 2 binary64)))) (neg.f64 (-.f64 (*.f64 x y) (*.f64 z (+.f64 x y)))))
(/.f64 (+.f64 (pow.f64 (*.f64 x z) #s(literal 3 binary64)) (pow.f64 (*.f64 y (+.f64 x z)) #s(literal 3 binary64))) (+.f64 (*.f64 (*.f64 x z) (*.f64 x z)) (-.f64 (pow.f64 (*.f64 y (+.f64 x z)) #s(literal 2 binary64)) (*.f64 (*.f64 x z) (*.f64 y (+.f64 x z))))))
(/.f64 (-.f64 (pow.f64 (*.f64 z (+.f64 x y)) #s(literal 2 binary64)) (pow.f64 (*.f64 x y) #s(literal 2 binary64))) (-.f64 (*.f64 z (+.f64 x y)) (*.f64 x y)))
(/.f64 (-.f64 (*.f64 (*.f64 x z) (*.f64 x z)) (pow.f64 (*.f64 y (+.f64 x z)) #s(literal 2 binary64))) (-.f64 (*.f64 x z) (*.f64 y (+.f64 x z))))
(pow.f64 (fma.f64 x z (*.f64 y (+.f64 x z))) #s(literal 1 binary64))
(pow.f64 (sqrt.f64 (fma.f64 x z (*.f64 y (+.f64 x z)))) #s(literal 2 binary64))
(pow.f64 (cbrt.f64 (fma.f64 x z (*.f64 y (+.f64 x z)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (fma.f64 x z (*.f64 y (+.f64 x z))) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (fma.f64 x z (*.f64 y (+.f64 x z))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(sqrt.f64 (pow.f64 (fma.f64 x z (*.f64 y (+.f64 x z))) #s(literal 2 binary64)))
(log.f64 (exp.f64 (fma.f64 x z (*.f64 y (+.f64 x z)))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 x z (*.f64 y (+.f64 x z))))))
(cbrt.f64 (pow.f64 (fma.f64 x z (*.f64 y (+.f64 x z))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (fma.f64 x z (*.f64 y (+.f64 x z)))))
(log1p.f64 (expm1.f64 (fma.f64 x z (*.f64 y (+.f64 x z)))))
(exp.f64 (log.f64 (fma.f64 x z (*.f64 y (+.f64 x z)))))
(exp.f64 (*.f64 (log.f64 (fma.f64 x z (*.f64 y (+.f64 x z)))) #s(literal 1 binary64)))
(+.f64 (*.f64 x y) (*.f64 y z))
(+.f64 (*.f64 x y) (*.f64 (*.f64 y z) #s(literal 1 binary64)))
(+.f64 (*.f64 y z) (*.f64 x y))
(-.f64 (exp.f64 (log1p.f64 (*.f64 y (+.f64 x z)))) #s(literal 1 binary64))
(/.f64 (+.f64 (pow.f64 (*.f64 x y) #s(literal 3 binary64)) (pow.f64 (*.f64 y z) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (-.f64 (*.f64 (*.f64 y z) (*.f64 y z)) (*.f64 (*.f64 x y) (*.f64 y z)))))
(/.f64 (-.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (*.f64 (*.f64 y z) (*.f64 y z))) (-.f64 (*.f64 x y) (*.f64 y z)))
(/.f64 (*.f64 y (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64)))) (fma.f64 x x (*.f64 z (-.f64 z x))))
(/.f64 (*.f64 y (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) (-.f64 x z))
(/.f64 (*.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) y) (fma.f64 x x (*.f64 z (-.f64 z x))))
(/.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y) (-.f64 x z))
(pow.f64 (*.f64 y (+.f64 x z)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 y (+.f64 x z))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 y (+.f64 x z)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 y (+.f64 x z))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 y (+.f64 x z)) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 (+.f64 x z)) y))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 y (+.f64 x z)))))
(cbrt.f64 (pow.f64 (*.f64 y (+.f64 x z)) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 (+.f64 x z) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (+.f64 x z) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 y (+.f64 x z))))
(log1p.f64 (expm1.f64 (*.f64 y (+.f64 x z))))
(exp.f64 (log.f64 (*.f64 y (+.f64 x z))))
(exp.f64 (*.f64 (log.f64 (*.f64 y (+.f64 x z))) #s(literal 1 binary64)))
(fma.f64 x y (*.f64 y z))
(fma.f64 y x (*.f64 y z))
(fma.f64 #s(literal 1 binary64) (*.f64 x y) (*.f64 y z))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 x y)) #s(literal 2 binary64)) (cbrt.f64 (*.f64 x y)) (*.f64 y z))
(fma.f64 (sqrt.f64 (*.f64 x y)) (sqrt.f64 (*.f64 x y)) (*.f64 y z))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (fma.f64 x z (*.f64 y (+.f64 x z)))))) #s(literal 1 binary64))
(*.f64 (sqrt.f64 (fma.f64 x z (*.f64 y (+.f64 x z)))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x z (*.f64 y (+.f64 x z)))))
(*.f64 (cbrt.f64 (sqrt.f64 (fma.f64 x z (*.f64 y (+.f64 x z))))) (cbrt.f64 (fma.f64 x z (*.f64 y (+.f64 x z)))))
(*.f64 (cbrt.f64 (fma.f64 x z (*.f64 y (+.f64 x z)))) (cbrt.f64 (sqrt.f64 (fma.f64 x z (*.f64 y (+.f64 x z))))))
(*.f64 (pow.f64 (fma.f64 x z (*.f64 y (+.f64 x z))) #s(literal 1/4 binary64)) (pow.f64 (fma.f64 x z (*.f64 y (+.f64 x z))) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/2 binary64)) (sqrt.f64 (fma.f64 x z (*.f64 y (+.f64 x z)))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (fma.f64 x z (*.f64 y (+.f64 x z)))) #s(literal 2 binary64)) #s(literal 1/2 binary64)) (pow.f64 (cbrt.f64 (fma.f64 x z (*.f64 y (+.f64 x z)))) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 x z (*.f64 y (+.f64 x z)))) #s(literal 2 binary64))) (sqrt.f64 (cbrt.f64 (fma.f64 x z (*.f64 y (+.f64 x z))))))
(/.f64 (sqrt.f64 (-.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (pow.f64 (*.f64 z (+.f64 x y)) #s(literal 2 binary64)))) (sqrt.f64 (-.f64 (*.f64 x y) (*.f64 z (+.f64 x y)))))
(/.f64 (sqrt.f64 (+.f64 (pow.f64 (*.f64 z (+.f64 x y)) #s(literal 3 binary64)) (pow.f64 (*.f64 x y) #s(literal 3 binary64)))) (sqrt.f64 (+.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (*.f64 (*.f64 z (+.f64 x y)) (-.f64 (*.f64 z (+.f64 x y)) (*.f64 x y))))))
(pow.f64 (fma.f64 x z (*.f64 y (+.f64 x z))) #s(literal 1/2 binary64))
(pow.f64 (sqrt.f64 (fma.f64 x z (*.f64 y (+.f64 x z)))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (sqrt.f64 (fma.f64 x z (*.f64 y (+.f64 x z))))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (fma.f64 x z (*.f64 y (+.f64 x z))) #s(literal 3/2 binary64)) #s(literal 1/3 binary64))
(pow.f64 (pow.f64 (fma.f64 x z (*.f64 y (+.f64 x z))) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(fabs.f64 (sqrt.f64 (fma.f64 x z (*.f64 y (+.f64 x z)))))
(log.f64 (exp.f64 (sqrt.f64 (fma.f64 x z (*.f64 y (+.f64 x z))))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (sqrt.f64 (fma.f64 x z (*.f64 y (+.f64 x z)))))))
(cbrt.f64 (pow.f64 (fma.f64 x z (*.f64 y (+.f64 x z))) #s(literal 3/2 binary64)))
(expm1.f64 (log1p.f64 (sqrt.f64 (fma.f64 x z (*.f64 y (+.f64 x z))))))
(hypot.f64 (sqrt.f64 (*.f64 z (+.f64 x y))) (sqrt.f64 (*.f64 x y)))
(hypot.f64 (sqrt.f64 (*.f64 x y)) (sqrt.f64 (*.f64 z (+.f64 x y))))
(log1p.f64 (expm1.f64 (sqrt.f64 (fma.f64 x z (*.f64 y (+.f64 x z))))))
(exp.f64 (log.f64 (sqrt.f64 (fma.f64 x z (*.f64 y (+.f64 x z))))))
(exp.f64 (*.f64 (log.f64 (fma.f64 x z (*.f64 y (+.f64 x z)))) #s(literal 1/2 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (fma.f64 x z (*.f64 y (+.f64 x z))))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 x z (*.f64 y (+.f64 x z))))) #s(literal 1 binary64))
(-.f64 (/.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (-.f64 (*.f64 x y) (*.f64 z (+.f64 x y)))) (/.f64 (pow.f64 (*.f64 z (+.f64 x y)) #s(literal 2 binary64)) (-.f64 (*.f64 x y) (*.f64 z (+.f64 x y)))))
(*.f64 (fma.f64 x z (*.f64 y (+.f64 x z))) #s(literal 1 binary64))
(*.f64 (sqrt.f64 (fma.f64 x z (*.f64 y (+.f64 x z)))) (sqrt.f64 (fma.f64 x z (*.f64 y (+.f64 x z)))))
(*.f64 #s(literal 1 binary64) (fma.f64 x z (*.f64 y (+.f64 x z))))
(*.f64 (cbrt.f64 (fma.f64 x z (*.f64 y (+.f64 x z)))) (pow.f64 (cbrt.f64 (fma.f64 x z (*.f64 y (+.f64 x z)))) #s(literal 2 binary64)))
(*.f64 (cbrt.f64 (fma.f64 x z (*.f64 y (+.f64 x z)))) (*.f64 (cbrt.f64 (sqrt.f64 (fma.f64 x z (*.f64 y (+.f64 x z))))) (sqrt.f64 (fma.f64 x z (*.f64 y (+.f64 x z))))))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 x z (*.f64 y (+.f64 x z)))) #s(literal 2 binary64)) (cbrt.f64 (fma.f64 x z (*.f64 y (+.f64 x z)))))
(*.f64 (pow.f64 (fma.f64 x z (*.f64 y (+.f64 x z))) #s(literal 1/4 binary64)) (*.f64 (pow.f64 (fma.f64 x z (*.f64 y (+.f64 x z))) #s(literal 1/4 binary64)) (sqrt.f64 (fma.f64 x z (*.f64 y (+.f64 x z))))))
(*.f64 (+.f64 (pow.f64 (*.f64 z (+.f64 x y)) #s(literal 3 binary64)) (pow.f64 (*.f64 x y) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (*.f64 (*.f64 z (+.f64 x y)) (-.f64 (*.f64 z (+.f64 x y)) (*.f64 x y))))))
(*.f64 (-.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (pow.f64 (*.f64 z (+.f64 x y)) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x y) (*.f64 z (+.f64 x y)))))
(*.f64 (*.f64 (sqrt.f64 (fma.f64 x z (*.f64 y (+.f64 x z)))) (pow.f64 (fma.f64 x z (*.f64 y (+.f64 x z))) #s(literal 1/4 binary64))) (pow.f64 (fma.f64 x z (*.f64 y (+.f64 x z))) #s(literal 1/4 binary64)))
(*.f64 (*.f64 (sqrt.f64 (fma.f64 x z (*.f64 y (+.f64 x z)))) (cbrt.f64 (fma.f64 x z (*.f64 y (+.f64 x z))))) (cbrt.f64 (sqrt.f64 (fma.f64 x z (*.f64 y (+.f64 x z))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (*.f64 (*.f64 z (+.f64 x y)) (-.f64 (*.f64 z (+.f64 x y)) (*.f64 x y)))) (+.f64 (pow.f64 (*.f64 z (+.f64 x y)) #s(literal 3 binary64)) (pow.f64 (*.f64 x y) #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 x y) (*.f64 z (+.f64 x y))) (-.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (pow.f64 (*.f64 z (+.f64 x y)) #s(literal 2 binary64)))))
(/.f64 (+.f64 (pow.f64 (*.f64 z (+.f64 x y)) #s(literal 3 binary64)) (pow.f64 (*.f64 x y) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (*.f64 (*.f64 z (+.f64 x y)) (-.f64 (*.f64 z (+.f64 x y)) (*.f64 x y)))))
(/.f64 (+.f64 (pow.f64 (*.f64 z (+.f64 x y)) #s(literal 3 binary64)) (pow.f64 (*.f64 x y) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 z (+.f64 x y)) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (*.f64 (*.f64 x y) (*.f64 z (+.f64 x y))))))
(/.f64 (-.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (pow.f64 (*.f64 z (+.f64 x y)) #s(literal 2 binary64))) (-.f64 (*.f64 x y) (*.f64 z (+.f64 x y))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 z (+.f64 x y)) #s(literal 3 binary64)) (pow.f64 (*.f64 x y) #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (*.f64 (*.f64 z (+.f64 x y)) (-.f64 (*.f64 z (+.f64 x y)) (*.f64 x y))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (pow.f64 (*.f64 z (+.f64 x y)) #s(literal 2 binary64)))) (neg.f64 (-.f64 (*.f64 x y) (*.f64 z (+.f64 x y)))))
(/.f64 (+.f64 (pow.f64 (*.f64 x z) #s(literal 3 binary64)) (pow.f64 (*.f64 y (+.f64 x z)) #s(literal 3 binary64))) (+.f64 (*.f64 (*.f64 x z) (*.f64 x z)) (-.f64 (pow.f64 (*.f64 y (+.f64 x z)) #s(literal 2 binary64)) (*.f64 (*.f64 x z) (*.f64 y (+.f64 x z))))))
(/.f64 (-.f64 (pow.f64 (*.f64 z (+.f64 x y)) #s(literal 2 binary64)) (pow.f64 (*.f64 x y) #s(literal 2 binary64))) (-.f64 (*.f64 z (+.f64 x y)) (*.f64 x y)))
(/.f64 (-.f64 (*.f64 (*.f64 x z) (*.f64 x z)) (pow.f64 (*.f64 y (+.f64 x z)) #s(literal 2 binary64))) (-.f64 (*.f64 x z) (*.f64 y (+.f64 x z))))
(pow.f64 (fma.f64 x z (*.f64 y (+.f64 x z))) #s(literal 1 binary64))
(pow.f64 (sqrt.f64 (fma.f64 x z (*.f64 y (+.f64 x z)))) #s(literal 2 binary64))
(pow.f64 (cbrt.f64 (fma.f64 x z (*.f64 y (+.f64 x z)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (fma.f64 x z (*.f64 y (+.f64 x z))) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (fma.f64 x z (*.f64 y (+.f64 x z))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(sqrt.f64 (pow.f64 (fma.f64 x z (*.f64 y (+.f64 x z))) #s(literal 2 binary64)))
(log.f64 (exp.f64 (fma.f64 x z (*.f64 y (+.f64 x z)))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 x z (*.f64 y (+.f64 x z))))))
(cbrt.f64 (pow.f64 (fma.f64 x z (*.f64 y (+.f64 x z))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (fma.f64 x z (*.f64 y (+.f64 x z)))))
(log1p.f64 (expm1.f64 (fma.f64 x z (*.f64 y (+.f64 x z)))))
(exp.f64 (log.f64 (fma.f64 x z (*.f64 y (+.f64 x z)))))
(exp.f64 (*.f64 (log.f64 (fma.f64 x z (*.f64 y (+.f64 x z)))) #s(literal 1 binary64)))
(fma.f64 x y (*.f64 z (+.f64 x y)))
(fma.f64 x z (*.f64 y (+.f64 x z)))
(fma.f64 y x (*.f64 z (+.f64 x y)))
(fma.f64 z (+.f64 x y) (*.f64 x y))
(fma.f64 (+.f64 x y) z (*.f64 x y))
(fma.f64 #s(literal 1 binary64) (*.f64 x y) (*.f64 z (+.f64 x y)))
(fma.f64 #s(literal 1 binary64) (*.f64 z (+.f64 x y)) (*.f64 x y))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 z (+.f64 x y))) #s(literal 2 binary64)) (cbrt.f64 (*.f64 z (+.f64 x y))) (*.f64 x y))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 x y)) #s(literal 2 binary64)) (cbrt.f64 (*.f64 x y)) (*.f64 z (+.f64 x y)))
(fma.f64 (sqrt.f64 (*.f64 z (+.f64 x y))) (sqrt.f64 (*.f64 z (+.f64 x y))) (*.f64 x y))
(fma.f64 (sqrt.f64 (*.f64 x y)) (sqrt.f64 (*.f64 x y)) (*.f64 z (+.f64 x y)))

simplify1.3s (7.7%)

Algorithm
egg-herbie
Rules
628×distribute-lft-in
627×distribute-rgt-in
399×fma-neg
370×*-commutative
313×+-commutative
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0101259462
1305858234
2768258234
Stop Event
node limit
Counts
837 → 597
Calls
Call 1
Inputs
(*.f64 z (+.f64 x y))
(*.f64 z (+.f64 x y))
(*.f64 z (+.f64 x y))
(*.f64 z (+.f64 x y))
(*.f64 z (+.f64 x y))
(*.f64 z (+.f64 x y))
(*.f64 z (+.f64 x y))
(*.f64 z (+.f64 x y))
(*.f64 z (+.f64 x y))
(*.f64 z (+.f64 x y))
(*.f64 z (+.f64 x y))
(*.f64 z (+.f64 x y))
(*.f64 x z)
(+.f64 (*.f64 x z) (*.f64 y z))
(+.f64 (*.f64 x z) (*.f64 y z))
(+.f64 (*.f64 x z) (*.f64 y z))
(*.f64 y z)
(*.f64 y (+.f64 z (/.f64 (*.f64 x z) y)))
(*.f64 y (+.f64 z (/.f64 (*.f64 x z) y)))
(*.f64 y (+.f64 z (/.f64 (*.f64 x z) y)))
(*.f64 y z)
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) z) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) y)))))
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) z) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) y)))))
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) z) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) y)))))
(*.f64 y z)
(+.f64 (*.f64 x z) (*.f64 y z))
(+.f64 (*.f64 x z) (*.f64 y z))
(+.f64 (*.f64 x z) (*.f64 y z))
(*.f64 x z)
(*.f64 x (+.f64 z (/.f64 (*.f64 y z) x)))
(*.f64 x (+.f64 z (/.f64 (*.f64 y z) x)))
(*.f64 x (+.f64 z (/.f64 (*.f64 y z) x)))
(*.f64 x z)
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) z) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 y z) x)))))
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) z) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 y z) x)))))
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) z) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 y z) x)))))
x
(+.f64 x y)
(+.f64 x y)
(+.f64 x y)
y
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(/.f64 (-.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (*.f64 (*.f64 y z) (*.f64 y z))) (-.f64 (*.f64 x y) (*.f64 y z)))
(/.f64 (*.f64 y (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64)))) (fma.f64 x x (*.f64 z (-.f64 z x))))
(/.f64 (*.f64 y (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) (-.f64 x z))
(/.f64 (*.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) y) (fma.f64 x x (*.f64 z (-.f64 z x))))
(/.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y) (-.f64 x z))
(pow.f64 (*.f64 y (+.f64 x z)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 y (+.f64 x z))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 y (+.f64 x z)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 y (+.f64 x z))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 y (+.f64 x z)) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 (+.f64 x z)) y))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 y (+.f64 x z)))))
(cbrt.f64 (pow.f64 (*.f64 y (+.f64 x z)) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 (+.f64 x z) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (+.f64 x z) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 y (+.f64 x z))))
(log1p.f64 (expm1.f64 (*.f64 y (+.f64 x z))))
(exp.f64 (log.f64 (*.f64 y (+.f64 x z))))
(exp.f64 (*.f64 (log.f64 (*.f64 y (+.f64 x z))) #s(literal 1 binary64)))
(fma.f64 x y (*.f64 y z))
(fma.f64 y x (*.f64 y z))
(fma.f64 #s(literal 1 binary64) (*.f64 x y) (*.f64 y z))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 x y)) #s(literal 2 binary64)) (cbrt.f64 (*.f64 x y)) (*.f64 y z))
(fma.f64 (sqrt.f64 (*.f64 x y)) (sqrt.f64 (*.f64 x y)) (*.f64 y z))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (fma.f64 x z (*.f64 y (+.f64 x z)))))) #s(literal 1 binary64))
(*.f64 (sqrt.f64 (fma.f64 x z (*.f64 y (+.f64 x z)))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x z (*.f64 y (+.f64 x z)))))
(*.f64 (cbrt.f64 (sqrt.f64 (fma.f64 x z (*.f64 y (+.f64 x z))))) (cbrt.f64 (fma.f64 x z (*.f64 y (+.f64 x z)))))
(*.f64 (cbrt.f64 (fma.f64 x z (*.f64 y (+.f64 x z)))) (cbrt.f64 (sqrt.f64 (fma.f64 x z (*.f64 y (+.f64 x z))))))
(*.f64 (pow.f64 (fma.f64 x z (*.f64 y (+.f64 x z))) #s(literal 1/4 binary64)) (pow.f64 (fma.f64 x z (*.f64 y (+.f64 x z))) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/2 binary64)) (sqrt.f64 (fma.f64 x z (*.f64 y (+.f64 x z)))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (fma.f64 x z (*.f64 y (+.f64 x z)))) #s(literal 2 binary64)) #s(literal 1/2 binary64)) (pow.f64 (cbrt.f64 (fma.f64 x z (*.f64 y (+.f64 x z)))) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 x z (*.f64 y (+.f64 x z)))) #s(literal 2 binary64))) (sqrt.f64 (cbrt.f64 (fma.f64 x z (*.f64 y (+.f64 x z))))))
(/.f64 (sqrt.f64 (-.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (pow.f64 (*.f64 z (+.f64 x y)) #s(literal 2 binary64)))) (sqrt.f64 (-.f64 (*.f64 x y) (*.f64 z (+.f64 x y)))))
(/.f64 (sqrt.f64 (+.f64 (pow.f64 (*.f64 z (+.f64 x y)) #s(literal 3 binary64)) (pow.f64 (*.f64 x y) #s(literal 3 binary64)))) (sqrt.f64 (+.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (*.f64 (*.f64 z (+.f64 x y)) (-.f64 (*.f64 z (+.f64 x y)) (*.f64 x y))))))
(pow.f64 (fma.f64 x z (*.f64 y (+.f64 x z))) #s(literal 1/2 binary64))
(pow.f64 (sqrt.f64 (fma.f64 x z (*.f64 y (+.f64 x z)))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (sqrt.f64 (fma.f64 x z (*.f64 y (+.f64 x z))))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (fma.f64 x z (*.f64 y (+.f64 x z))) #s(literal 3/2 binary64)) #s(literal 1/3 binary64))
(pow.f64 (pow.f64 (fma.f64 x z (*.f64 y (+.f64 x z))) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(fabs.f64 (sqrt.f64 (fma.f64 x z (*.f64 y (+.f64 x z)))))
(log.f64 (exp.f64 (sqrt.f64 (fma.f64 x z (*.f64 y (+.f64 x z))))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (sqrt.f64 (fma.f64 x z (*.f64 y (+.f64 x z)))))))
(cbrt.f64 (pow.f64 (fma.f64 x z (*.f64 y (+.f64 x z))) #s(literal 3/2 binary64)))
(expm1.f64 (log1p.f64 (sqrt.f64 (fma.f64 x z (*.f64 y (+.f64 x z))))))
(hypot.f64 (sqrt.f64 (*.f64 z (+.f64 x y))) (sqrt.f64 (*.f64 x y)))
(hypot.f64 (sqrt.f64 (*.f64 x y)) (sqrt.f64 (*.f64 z (+.f64 x y))))
(log1p.f64 (expm1.f64 (sqrt.f64 (fma.f64 x z (*.f64 y (+.f64 x z))))))
(exp.f64 (log.f64 (sqrt.f64 (fma.f64 x z (*.f64 y (+.f64 x z))))))
(exp.f64 (*.f64 (log.f64 (fma.f64 x z (*.f64 y (+.f64 x z)))) #s(literal 1/2 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (fma.f64 x z (*.f64 y (+.f64 x z))))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 x z (*.f64 y (+.f64 x z))))) #s(literal 1 binary64))
(-.f64 (/.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (-.f64 (*.f64 x y) (*.f64 z (+.f64 x y)))) (/.f64 (pow.f64 (*.f64 z (+.f64 x y)) #s(literal 2 binary64)) (-.f64 (*.f64 x y) (*.f64 z (+.f64 x y)))))
(*.f64 (fma.f64 x z (*.f64 y (+.f64 x z))) #s(literal 1 binary64))
(*.f64 (sqrt.f64 (fma.f64 x z (*.f64 y (+.f64 x z)))) (sqrt.f64 (fma.f64 x z (*.f64 y (+.f64 x z)))))
(*.f64 #s(literal 1 binary64) (fma.f64 x z (*.f64 y (+.f64 x z))))
(*.f64 (cbrt.f64 (fma.f64 x z (*.f64 y (+.f64 x z)))) (pow.f64 (cbrt.f64 (fma.f64 x z (*.f64 y (+.f64 x z)))) #s(literal 2 binary64)))
(*.f64 (cbrt.f64 (fma.f64 x z (*.f64 y (+.f64 x z)))) (*.f64 (cbrt.f64 (sqrt.f64 (fma.f64 x z (*.f64 y (+.f64 x z))))) (sqrt.f64 (fma.f64 x z (*.f64 y (+.f64 x z))))))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 x z (*.f64 y (+.f64 x z)))) #s(literal 2 binary64)) (cbrt.f64 (fma.f64 x z (*.f64 y (+.f64 x z)))))
(*.f64 (pow.f64 (fma.f64 x z (*.f64 y (+.f64 x z))) #s(literal 1/4 binary64)) (*.f64 (pow.f64 (fma.f64 x z (*.f64 y (+.f64 x z))) #s(literal 1/4 binary64)) (sqrt.f64 (fma.f64 x z (*.f64 y (+.f64 x z))))))
(*.f64 (+.f64 (pow.f64 (*.f64 z (+.f64 x y)) #s(literal 3 binary64)) (pow.f64 (*.f64 x y) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (*.f64 (*.f64 z (+.f64 x y)) (-.f64 (*.f64 z (+.f64 x y)) (*.f64 x y))))))
(*.f64 (-.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (pow.f64 (*.f64 z (+.f64 x y)) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x y) (*.f64 z (+.f64 x y)))))
(*.f64 (*.f64 (sqrt.f64 (fma.f64 x z (*.f64 y (+.f64 x z)))) (pow.f64 (fma.f64 x z (*.f64 y (+.f64 x z))) #s(literal 1/4 binary64))) (pow.f64 (fma.f64 x z (*.f64 y (+.f64 x z))) #s(literal 1/4 binary64)))
(*.f64 (*.f64 (sqrt.f64 (fma.f64 x z (*.f64 y (+.f64 x z)))) (cbrt.f64 (fma.f64 x z (*.f64 y (+.f64 x z))))) (cbrt.f64 (sqrt.f64 (fma.f64 x z (*.f64 y (+.f64 x z))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (*.f64 (*.f64 z (+.f64 x y)) (-.f64 (*.f64 z (+.f64 x y)) (*.f64 x y)))) (+.f64 (pow.f64 (*.f64 z (+.f64 x y)) #s(literal 3 binary64)) (pow.f64 (*.f64 x y) #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 x y) (*.f64 z (+.f64 x y))) (-.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (pow.f64 (*.f64 z (+.f64 x y)) #s(literal 2 binary64)))))
(/.f64 (+.f64 (pow.f64 (*.f64 z (+.f64 x y)) #s(literal 3 binary64)) (pow.f64 (*.f64 x y) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (*.f64 (*.f64 z (+.f64 x y)) (-.f64 (*.f64 z (+.f64 x y)) (*.f64 x y)))))
(/.f64 (+.f64 (pow.f64 (*.f64 z (+.f64 x y)) #s(literal 3 binary64)) (pow.f64 (*.f64 x y) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 z (+.f64 x y)) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (*.f64 (*.f64 x y) (*.f64 z (+.f64 x y))))))
(/.f64 (-.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (pow.f64 (*.f64 z (+.f64 x y)) #s(literal 2 binary64))) (-.f64 (*.f64 x y) (*.f64 z (+.f64 x y))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 z (+.f64 x y)) #s(literal 3 binary64)) (pow.f64 (*.f64 x y) #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (*.f64 (*.f64 z (+.f64 x y)) (-.f64 (*.f64 z (+.f64 x y)) (*.f64 x y))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (pow.f64 (*.f64 z (+.f64 x y)) #s(literal 2 binary64)))) (neg.f64 (-.f64 (*.f64 x y) (*.f64 z (+.f64 x y)))))
(/.f64 (+.f64 (pow.f64 (*.f64 x z) #s(literal 3 binary64)) (pow.f64 (*.f64 y (+.f64 x z)) #s(literal 3 binary64))) (+.f64 (*.f64 (*.f64 x z) (*.f64 x z)) (-.f64 (pow.f64 (*.f64 y (+.f64 x z)) #s(literal 2 binary64)) (*.f64 (*.f64 x z) (*.f64 y (+.f64 x z))))))
(/.f64 (-.f64 (pow.f64 (*.f64 z (+.f64 x y)) #s(literal 2 binary64)) (pow.f64 (*.f64 x y) #s(literal 2 binary64))) (-.f64 (*.f64 z (+.f64 x y)) (*.f64 x y)))
(/.f64 (-.f64 (*.f64 (*.f64 x z) (*.f64 x z)) (pow.f64 (*.f64 y (+.f64 x z)) #s(literal 2 binary64))) (-.f64 (*.f64 x z) (*.f64 y (+.f64 x z))))
(pow.f64 (fma.f64 x z (*.f64 y (+.f64 x z))) #s(literal 1 binary64))
(pow.f64 (sqrt.f64 (fma.f64 x z (*.f64 y (+.f64 x z)))) #s(literal 2 binary64))
(pow.f64 (cbrt.f64 (fma.f64 x z (*.f64 y (+.f64 x z)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (fma.f64 x z (*.f64 y (+.f64 x z))) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (fma.f64 x z (*.f64 y (+.f64 x z))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(sqrt.f64 (pow.f64 (fma.f64 x z (*.f64 y (+.f64 x z))) #s(literal 2 binary64)))
(log.f64 (exp.f64 (fma.f64 x z (*.f64 y (+.f64 x z)))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 x z (*.f64 y (+.f64 x z))))))
(cbrt.f64 (pow.f64 (fma.f64 x z (*.f64 y (+.f64 x z))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (fma.f64 x z (*.f64 y (+.f64 x z)))))
(log1p.f64 (expm1.f64 (fma.f64 x z (*.f64 y (+.f64 x z)))))
(exp.f64 (log.f64 (fma.f64 x z (*.f64 y (+.f64 x z)))))
(exp.f64 (*.f64 (log.f64 (fma.f64 x z (*.f64 y (+.f64 x z)))) #s(literal 1 binary64)))
(fma.f64 x y (*.f64 z (+.f64 x y)))
(fma.f64 x z (*.f64 y (+.f64 x z)))
(fma.f64 y x (*.f64 z (+.f64 x y)))
(fma.f64 z (+.f64 x y) (*.f64 x y))
(fma.f64 (+.f64 x y) z (*.f64 x y))
(fma.f64 #s(literal 1 binary64) (*.f64 x y) (*.f64 z (+.f64 x y)))
(fma.f64 #s(literal 1 binary64) (*.f64 z (+.f64 x y)) (*.f64 x y))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 z (+.f64 x y))) #s(literal 2 binary64)) (cbrt.f64 (*.f64 z (+.f64 x y))) (*.f64 x y))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 x y)) #s(literal 2 binary64)) (cbrt.f64 (*.f64 x y)) (*.f64 z (+.f64 x y)))
(fma.f64 (sqrt.f64 (*.f64 z (+.f64 x y))) (sqrt.f64 (*.f64 z (+.f64 x y))) (*.f64 x y))
(fma.f64 (sqrt.f64 (*.f64 x y)) (sqrt.f64 (*.f64 x y)) (*.f64 z (+.f64 x y)))
Outputs
(*.f64 z (+.f64 x y))
(*.f64 z (+.f64 x y))
(*.f64 z (+.f64 x y))
(*.f64 z (+.f64 x y))
(*.f64 z (+.f64 x y))
(*.f64 z (+.f64 x y))
(*.f64 z (+.f64 x y))
(*.f64 z (+.f64 x y))
(*.f64 z (+.f64 x y))
(*.f64 z (+.f64 x y))
(*.f64 z (+.f64 x y))
(*.f64 z (+.f64 x y))
(*.f64 x z)
(*.f64 z x)
(+.f64 (*.f64 x z) (*.f64 y z))
(*.f64 z (+.f64 x y))
(+.f64 (*.f64 x z) (*.f64 y z))
(*.f64 z (+.f64 x y))
(+.f64 (*.f64 x z) (*.f64 y z))
(*.f64 z (+.f64 x y))
(*.f64 y z)
(*.f64 z y)
(*.f64 y (+.f64 z (/.f64 (*.f64 x z) y)))
(*.f64 y (+.f64 z (*.f64 x (/.f64 z y))))
(*.f64 y (+.f64 z (*.f64 z (/.f64 x y))))
(*.f64 y (+.f64 z (/.f64 (*.f64 x z) y)))
(*.f64 y (+.f64 z (*.f64 x (/.f64 z y))))
(*.f64 y (+.f64 z (*.f64 z (/.f64 x y))))
(*.f64 y (+.f64 z (/.f64 (*.f64 x z) y)))
(*.f64 y (+.f64 z (*.f64 x (/.f64 z y))))
(*.f64 y (+.f64 z (*.f64 z (/.f64 x y))))
(*.f64 y z)
(*.f64 z y)
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) z) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) y)))))
(*.f64 (neg.f64 y) (*.f64 #s(literal -1 binary64) (+.f64 z (*.f64 x (/.f64 z y)))))
(*.f64 (-.f64 (neg.f64 z) (*.f64 z (/.f64 x y))) (neg.f64 y))
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) z) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) y)))))
(*.f64 (neg.f64 y) (*.f64 #s(literal -1 binary64) (+.f64 z (*.f64 x (/.f64 z y)))))
(*.f64 (-.f64 (neg.f64 z) (*.f64 z (/.f64 x y))) (neg.f64 y))
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) z) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) y)))))
(*.f64 (neg.f64 y) (*.f64 #s(literal -1 binary64) (+.f64 z (*.f64 x (/.f64 z y)))))
(*.f64 (-.f64 (neg.f64 z) (*.f64 z (/.f64 x y))) (neg.f64 y))
(*.f64 y z)
(*.f64 z y)
(+.f64 (*.f64 x z) (*.f64 y z))
(*.f64 z (+.f64 x y))
(+.f64 (*.f64 x z) (*.f64 y z))
(*.f64 z (+.f64 x y))
(+.f64 (*.f64 x z) (*.f64 y z))
(*.f64 z (+.f64 x y))
(*.f64 x z)
(*.f64 z x)
(*.f64 x (+.f64 z (/.f64 (*.f64 y z) x)))
(*.f64 x (+.f64 z (*.f64 y (/.f64 z x))))
(*.f64 x (+.f64 z (*.f64 z (/.f64 y x))))
(*.f64 x (+.f64 z (/.f64 (*.f64 y z) x)))
(*.f64 x (+.f64 z (*.f64 y (/.f64 z x))))
(*.f64 x (+.f64 z (*.f64 z (/.f64 y x))))
(*.f64 x (+.f64 z (/.f64 (*.f64 y z) x)))
(*.f64 x (+.f64 z (*.f64 y (/.f64 z x))))
(*.f64 x (+.f64 z (*.f64 z (/.f64 y x))))
(*.f64 x z)
(*.f64 z x)
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) z) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 y z) x)))))
(*.f64 (neg.f64 x) (*.f64 #s(literal -1 binary64) (+.f64 z (*.f64 y (/.f64 z x)))))
(*.f64 (-.f64 (neg.f64 z) (*.f64 z (/.f64 y x))) (neg.f64 x))
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) z) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 y z) x)))))
(*.f64 (neg.f64 x) (*.f64 #s(literal -1 binary64) (+.f64 z (*.f64 y (/.f64 z x)))))
(*.f64 (-.f64 (neg.f64 z) (*.f64 z (/.f64 y x))) (neg.f64 x))
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) z) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 y z) x)))))
(*.f64 (neg.f64 x) (*.f64 #s(literal -1 binary64) (+.f64 z (*.f64 y (/.f64 z x)))))
(*.f64 (-.f64 (neg.f64 z) (*.f64 z (/.f64 y x))) (neg.f64 x))
x
(+.f64 x y)
(+.f64 x y)
(+.f64 x y)
y
(*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 x y)))
(*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 x y)))
(*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 x y)))
y
(*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x y)) #s(literal 1 binary64))))
(*.f64 (neg.f64 y) (fma.f64 #s(literal -1 binary64) (/.f64 x y) #s(literal -1 binary64)))
(*.f64 y (neg.f64 (fma.f64 #s(literal -1 binary64) (/.f64 x y) #s(literal -1 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x y)) #s(literal 1 binary64))))
(*.f64 (neg.f64 y) (fma.f64 #s(literal -1 binary64) (/.f64 x y) #s(literal -1 binary64)))
(*.f64 y (neg.f64 (fma.f64 #s(literal -1 binary64) (/.f64 x y) #s(literal -1 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x y)) #s(literal 1 binary64))))
(*.f64 (neg.f64 y) (fma.f64 #s(literal -1 binary64) (/.f64 x y) #s(literal -1 binary64)))
(*.f64 y (neg.f64 (fma.f64 #s(literal -1 binary64) (/.f64 x y) #s(literal -1 binary64))))
y
(+.f64 x y)
(+.f64 x y)
(+.f64 x y)
x
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 y x)))
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 y x)))
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 y x)))
x
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 y x)) #s(literal 1 binary64))))
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(fma.f64 x z (*.f64 y (+.f64 x z)))
(fma.f64 x z (*.f64 y (+.f64 z x)))
(fma.f64 z (+.f64 x y) (*.f64 x y))
(fma.f64 y x (*.f64 z (+.f64 x y)))
(fma.f64 x z (*.f64 y (+.f64 z x)))
(fma.f64 z (+.f64 x y) (*.f64 x y))
(fma.f64 z (+.f64 x y) (*.f64 x y))
(fma.f64 x z (*.f64 y (+.f64 z x)))
(fma.f64 (+.f64 x y) z (*.f64 x y))
(fma.f64 x z (*.f64 y (+.f64 z x)))
(fma.f64 z (+.f64 x y) (*.f64 x y))
(fma.f64 #s(literal 1 binary64) (*.f64 x y) (*.f64 z (+.f64 x y)))
(fma.f64 x z (*.f64 y (+.f64 z x)))
(fma.f64 z (+.f64 x y) (*.f64 x y))
(fma.f64 #s(literal 1 binary64) (*.f64 z (+.f64 x y)) (*.f64 x y))
(fma.f64 x z (*.f64 y (+.f64 z x)))
(fma.f64 z (+.f64 x y) (*.f64 x y))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 z (+.f64 x y))) #s(literal 2 binary64)) (cbrt.f64 (*.f64 z (+.f64 x y))) (*.f64 x y))
(fma.f64 x z (*.f64 y (+.f64 z x)))
(fma.f64 z (+.f64 x y) (*.f64 x y))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 x y)) #s(literal 2 binary64)) (cbrt.f64 (*.f64 x y)) (*.f64 z (+.f64 x y)))
(fma.f64 x z (*.f64 y (+.f64 z x)))
(fma.f64 z (+.f64 x y) (*.f64 x y))
(fma.f64 (sqrt.f64 (*.f64 z (+.f64 x y))) (sqrt.f64 (*.f64 z (+.f64 x y))) (*.f64 x y))
(fma.f64 x z (*.f64 y (+.f64 z x)))
(fma.f64 z (+.f64 x y) (*.f64 x y))
(fma.f64 (sqrt.f64 (*.f64 x y)) (sqrt.f64 (*.f64 x y)) (*.f64 z (+.f64 x y)))
(fma.f64 x z (*.f64 y (+.f64 z x)))
(fma.f64 z (+.f64 x y) (*.f64 x y))

eval95.0ms (0.6%)

Compiler

Compiled 17089 to 2877 computations (83.2% saved)

prune139.0ms (0.8%)

Pruning

18 alts after pruning (18 fresh and 0 done)

PrunedKeptTotal
New57918597
Fresh000
Picked303
Done000
Total58218600
Accuracy
84.8%
Counts
600 → 18
Alt Table
Click to see full alt table
StatusAccuracyProgram
39.5%
(*.f64 z (+.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 (+.f64 x y) z))) (*.f64 (*.f64 x y) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 z #s(literal 3 binary64)) (+.f64 x y)))))))
33.7%
(*.f64 y (+.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 (+.f64 x z) y))) (*.f64 (*.f64 x z) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 y #s(literal 3 binary64)) (+.f64 x z)))))))
67.4%
(*.f64 #s(literal 2 binary64) (pow.f64 (pow.f64 (fma.f64 x z (*.f64 y (+.f64 x z))) #s(literal 1/4 binary64)) #s(literal 2 binary64)))
41.9%
(*.f64 #s(literal 2 binary64) (*.f64 z (+.f64 (sqrt.f64 (/.f64 (+.f64 x y) z)) (*.f64 (*.f64 x (*.f64 y (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 3 binary64))) (+.f64 x y))))) #s(literal 1/2 binary64)))))
39.7%
(*.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 (-.f64 (*.f64 (*.f64 x z) (*.f64 x z)) (pow.f64 (*.f64 y (+.f64 x z)) #s(literal 2 binary64))) (-.f64 (*.f64 x z) (*.f64 y (+.f64 x z))))))
67.2%
(*.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (pow.f64 (cbrt.f64 (*.f64 x y)) #s(literal 3 binary64)) (*.f64 z (+.f64 y x)))))
67.6%
(*.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (*.f64 x y) (fma.f64 z y (*.f64 x z)))))
36.1%
(*.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (*.f64 x y) (*.f64 z (cbrt.f64 (pow.f64 (+.f64 x y) #s(literal 3 binary64)))))))
67.4%
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 (*.f64 (sqrt.f64 (fma.f64 x z (*.f64 y (+.f64 x z)))) (cbrt.f64 (fma.f64 x z (*.f64 y (+.f64 x z))))) (cbrt.f64 (sqrt.f64 (fma.f64 x z (*.f64 y (+.f64 x z))))))))
57.7%
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 z (+.f64 y (+.f64 x (*.f64 x (/.f64 y z)))))))
36.9%
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 z (+.f64 x y))))
35.5%
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 z y)))
3.5%
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 z x)))
34.4%
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 x (+.f64 z y))))
57.7%
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 x (+.f64 y (+.f64 z (*.f64 z (/.f64 y x)))))))
49.8%
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 x (+.f64 y (+.f64 z (*.f64 y (/.f64 z x)))))))
32.7%
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 x y)))
48.6%
(*.f64 #s(literal 2 binary64) (cbrt.f64 (pow.f64 (fma.f64 z (+.f64 x y) (*.f64 x y)) #s(literal 3/2 binary64))))
Compiler

Compiled 676 to 424 computations (37.3% saved)

simplify77.0ms (0.5%)

Algorithm
egg-herbie
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
cost-diff6592
(+.f64 (pow.f64 (cbrt.f64 (*.f64 x y)) #s(literal 3 binary64)) (*.f64 z (+.f64 y x)))
cost-diff6592
(sqrt.f64 (+.f64 (pow.f64 (cbrt.f64 (*.f64 x y)) #s(literal 3 binary64)) (*.f64 z (+.f64 y x))))
cost-diff6592
(*.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (pow.f64 (cbrt.f64 (*.f64 x y)) #s(literal 3 binary64)) (*.f64 z (+.f64 y x)))))
cost-diff12864
(pow.f64 (cbrt.f64 (*.f64 x y)) #s(literal 3 binary64))
cost-diff0
(-.f64 (*.f64 (*.f64 x z) (*.f64 x z)) (pow.f64 (*.f64 y (+.f64 x z)) #s(literal 2 binary64)))
cost-diff1088
(/.f64 (-.f64 (*.f64 (*.f64 x z) (*.f64 x z)) (pow.f64 (*.f64 y (+.f64 x z)) #s(literal 2 binary64))) (-.f64 (*.f64 x z) (*.f64 y (+.f64 x z))))
cost-diff1088
(sqrt.f64 (/.f64 (-.f64 (*.f64 (*.f64 x z) (*.f64 x z)) (pow.f64 (*.f64 y (+.f64 x z)) #s(literal 2 binary64))) (-.f64 (*.f64 x z) (*.f64 y (+.f64 x z)))))
cost-diff1088
(*.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 (-.f64 (*.f64 (*.f64 x z) (*.f64 x z)) (pow.f64 (*.f64 y (+.f64 x z)) #s(literal 2 binary64))) (-.f64 (*.f64 x z) (*.f64 y (+.f64 x z))))))
cost-diff0
(+.f64 x y)
cost-diff0
(*.f64 z (+.f64 x y))
cost-diff0
(sqrt.f64 (*.f64 z (+.f64 x y)))
cost-diff0
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 z (+.f64 x y))))
cost-diff0
(*.f64 x y)
cost-diff0
(sqrt.f64 (*.f64 x y))
cost-diff0
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 x y)))
cost-diff128
(+.f64 (*.f64 x y) (fma.f64 z y (*.f64 x z)))
cost-diff128
(sqrt.f64 (+.f64 (*.f64 x y) (fma.f64 z y (*.f64 x z))))
cost-diff128
(*.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (*.f64 x y) (fma.f64 z y (*.f64 x z)))))
cost-diff6400
(fma.f64 z y (*.f64 x z))
Rules
855×times-frac
561×distribute-lft-in
549×distribute-rgt-in
428×fma-neg
394×unsub-neg
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
041911
190911
2205911
3575911
42206911
56174911
Stop Event
node limit
Calls
Call 1
Inputs
(*.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (*.f64 x y) (fma.f64 z y (*.f64 x z)))))
#s(literal 2 binary64)
(sqrt.f64 (+.f64 (*.f64 x y) (fma.f64 z y (*.f64 x z))))
(+.f64 (*.f64 x y) (fma.f64 z y (*.f64 x z)))
(*.f64 x y)
x
y
(fma.f64 z y (*.f64 x z))
z
(*.f64 x z)
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 x y)))
#s(literal 2 binary64)
(sqrt.f64 (*.f64 x y))
(*.f64 x y)
x
y
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 z (+.f64 x y))))
#s(literal 2 binary64)
(sqrt.f64 (*.f64 z (+.f64 x y)))
(*.f64 z (+.f64 x y))
z
(+.f64 x y)
x
y
(*.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 (-.f64 (*.f64 (*.f64 x z) (*.f64 x z)) (pow.f64 (*.f64 y (+.f64 x z)) #s(literal 2 binary64))) (-.f64 (*.f64 x z) (*.f64 y (+.f64 x z))))))
#s(literal 2 binary64)
(sqrt.f64 (/.f64 (-.f64 (*.f64 (*.f64 x z) (*.f64 x z)) (pow.f64 (*.f64 y (+.f64 x z)) #s(literal 2 binary64))) (-.f64 (*.f64 x z) (*.f64 y (+.f64 x z)))))
(/.f64 (-.f64 (*.f64 (*.f64 x z) (*.f64 x z)) (pow.f64 (*.f64 y (+.f64 x z)) #s(literal 2 binary64))) (-.f64 (*.f64 x z) (*.f64 y (+.f64 x z))))
(-.f64 (*.f64 (*.f64 x z) (*.f64 x z)) (pow.f64 (*.f64 y (+.f64 x z)) #s(literal 2 binary64)))
(*.f64 (*.f64 x z) (*.f64 x z))
(*.f64 x z)
x
z
(pow.f64 (*.f64 y (+.f64 x z)) #s(literal 2 binary64))
(*.f64 y (+.f64 x z))
y
(+.f64 x z)
(-.f64 (*.f64 x z) (*.f64 y (+.f64 x z)))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (pow.f64 (cbrt.f64 (*.f64 x y)) #s(literal 3 binary64)) (*.f64 z (+.f64 y x)))))
#s(literal 2 binary64)
(sqrt.f64 (+.f64 (pow.f64 (cbrt.f64 (*.f64 x y)) #s(literal 3 binary64)) (*.f64 z (+.f64 y x))))
(+.f64 (pow.f64 (cbrt.f64 (*.f64 x y)) #s(literal 3 binary64)) (*.f64 z (+.f64 y x)))
(pow.f64 (cbrt.f64 (*.f64 x y)) #s(literal 3 binary64))
(cbrt.f64 (*.f64 x y))
(*.f64 x y)
x
y
#s(literal 3 binary64)
(*.f64 z (+.f64 y x))
z
(+.f64 y x)
Outputs
(*.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (*.f64 x y) (fma.f64 z y (*.f64 x z)))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (fma.f64 x y (*.f64 z (+.f64 x y)))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (fma.f64 y (+.f64 x z) (*.f64 x z))))
#s(literal 2 binary64)
(sqrt.f64 (+.f64 (*.f64 x y) (fma.f64 z y (*.f64 x z))))
(sqrt.f64 (fma.f64 x y (*.f64 z (+.f64 x y))))
(sqrt.f64 (fma.f64 y (+.f64 x z) (*.f64 x z)))
(+.f64 (*.f64 x y) (fma.f64 z y (*.f64 x z)))
(fma.f64 x y (*.f64 z (+.f64 x y)))
(fma.f64 y (+.f64 x z) (*.f64 x z))
(*.f64 x y)
x
y
(fma.f64 z y (*.f64 x z))
(*.f64 z (+.f64 x y))
z
(*.f64 x z)
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 x y)))
#s(literal 2 binary64)
(sqrt.f64 (*.f64 x y))
(*.f64 x y)
x
y
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 z (+.f64 x y))))
#s(literal 2 binary64)
(sqrt.f64 (*.f64 z (+.f64 x y)))
(*.f64 z (+.f64 x y))
z
(+.f64 x y)
x
y
(*.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 (-.f64 (*.f64 (*.f64 x z) (*.f64 x z)) (pow.f64 (*.f64 y (+.f64 x z)) #s(literal 2 binary64))) (-.f64 (*.f64 x z) (*.f64 y (+.f64 x z))))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (fma.f64 x y (*.f64 z (+.f64 x y)))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (fma.f64 y (+.f64 x z) (*.f64 x z))))
#s(literal 2 binary64)
(sqrt.f64 (/.f64 (-.f64 (*.f64 (*.f64 x z) (*.f64 x z)) (pow.f64 (*.f64 y (+.f64 x z)) #s(literal 2 binary64))) (-.f64 (*.f64 x z) (*.f64 y (+.f64 x z)))))
(sqrt.f64 (fma.f64 x y (*.f64 z (+.f64 x y))))
(sqrt.f64 (fma.f64 y (+.f64 x z) (*.f64 x z)))
(/.f64 (-.f64 (*.f64 (*.f64 x z) (*.f64 x z)) (pow.f64 (*.f64 y (+.f64 x z)) #s(literal 2 binary64))) (-.f64 (*.f64 x z) (*.f64 y (+.f64 x z))))
(fma.f64 x y (*.f64 z (+.f64 x y)))
(fma.f64 y (+.f64 x z) (*.f64 x z))
(-.f64 (*.f64 (*.f64 x z) (*.f64 x z)) (pow.f64 (*.f64 y (+.f64 x z)) #s(literal 2 binary64)))
(-.f64 (*.f64 x (*.f64 z (*.f64 x z))) (pow.f64 (*.f64 y (+.f64 x z)) #s(literal 2 binary64)))
(-.f64 (*.f64 z (*.f64 x (*.f64 x z))) (pow.f64 (*.f64 y (+.f64 x z)) #s(literal 2 binary64)))
(*.f64 (*.f64 x z) (*.f64 x z))
(*.f64 x (*.f64 z (*.f64 x z)))
(*.f64 z (*.f64 x (*.f64 x z)))
(*.f64 x z)
x
z
(pow.f64 (*.f64 y (+.f64 x z)) #s(literal 2 binary64))
(*.f64 y (+.f64 x z))
y
(+.f64 x z)
(-.f64 (*.f64 x z) (*.f64 y (+.f64 x z)))
(-.f64 (*.f64 x (-.f64 z y)) (*.f64 y z))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (pow.f64 (cbrt.f64 (*.f64 x y)) #s(literal 3 binary64)) (*.f64 z (+.f64 y x)))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (fma.f64 x y (*.f64 z (+.f64 x y)))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (fma.f64 y (+.f64 x z) (*.f64 x z))))
#s(literal 2 binary64)
(sqrt.f64 (+.f64 (pow.f64 (cbrt.f64 (*.f64 x y)) #s(literal 3 binary64)) (*.f64 z (+.f64 y x))))
(sqrt.f64 (fma.f64 x y (*.f64 z (+.f64 x y))))
(sqrt.f64 (fma.f64 y (+.f64 x z) (*.f64 x z)))
(+.f64 (pow.f64 (cbrt.f64 (*.f64 x y)) #s(literal 3 binary64)) (*.f64 z (+.f64 y x)))
(fma.f64 x y (*.f64 z (+.f64 x y)))
(fma.f64 y (+.f64 x z) (*.f64 x z))
(pow.f64 (cbrt.f64 (*.f64 x y)) #s(literal 3 binary64))
(*.f64 x y)
(cbrt.f64 (*.f64 x y))
(*.f64 x y)
x
y
#s(literal 3 binary64)
(*.f64 z (+.f64 y x))
(*.f64 z (+.f64 x y))
z
(+.f64 y x)
(+.f64 x y)

localize276.0ms (1.7%)

Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(*.f64 z (+.f64 y x))
accuracy99.6%
(pow.f64 (cbrt.f64 (*.f64 x y)) #s(literal 3 binary64))
accuracy84.3%
(cbrt.f64 (*.f64 x y))
accuracy84.0%
(sqrt.f64 (+.f64 (pow.f64 (cbrt.f64 (*.f64 x y)) #s(literal 3 binary64)) (*.f64 z (+.f64 y x))))
accuracy97.3%
(-.f64 (*.f64 x z) (*.f64 y (+.f64 x z)))
accuracy88.3%
(-.f64 (*.f64 (*.f64 x z) (*.f64 x z)) (pow.f64 (*.f64 y (+.f64 x z)) #s(literal 2 binary64)))
accuracy84.0%
(sqrt.f64 (/.f64 (-.f64 (*.f64 (*.f64 x z) (*.f64 x z)) (pow.f64 (*.f64 y (+.f64 x z)) #s(literal 2 binary64))) (-.f64 (*.f64 x z) (*.f64 y (+.f64 x z)))))
accuracy73.1%
(/.f64 (-.f64 (*.f64 (*.f64 x z) (*.f64 x z)) (pow.f64 (*.f64 y (+.f64 x z)) #s(literal 2 binary64))) (-.f64 (*.f64 x z) (*.f64 y (+.f64 x z))))
accuracy100.0%
(+.f64 x y)
accuracy100.0%
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 z (+.f64 x y))))
accuracy100.0%
(*.f64 z (+.f64 x y))
accuracy88.3%
(sqrt.f64 (*.f64 z (+.f64 x y)))
accuracy100.0%
(*.f64 x y)
accuracy100.0%
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 x y)))
accuracy84.8%
(sqrt.f64 (*.f64 x y))
accuracy100.0%
(*.f64 x y)
accuracy100.0%
(*.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (*.f64 x y) (fma.f64 z y (*.f64 x z)))))
accuracy100.0%
(+.f64 (*.f64 x y) (fma.f64 z y (*.f64 x z)))
accuracy84.0%
(sqrt.f64 (+.f64 (*.f64 x y) (fma.f64 z y (*.f64 x z))))
Results
123.0ms130×0valid
106.0ms126×0invalid
Compiler

Compiled 294 to 34 computations (88.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 115.0ms
ival-sqrt: 68.0ms (59.3% of total)
ival-mult: 22.0ms (19.2% of total)
ival-pow: 8.0ms (7% of total)
ival-add: 6.0ms (5.2% of total)
ival-fma: 3.0ms (2.6% of total)
ival-div: 2.0ms (1.7% of total)
ival-cbrt: 2.0ms (1.7% of total)
ival-sub: 2.0ms (1.7% of total)
const: 1.0ms (0.9% of total)
backward-pass: 0.0ms (0% of total)

series384.0ms (2.3%)

Counts
20 → 578
Calls
Call 1
Inputs
#<alt (fma.f64 z y (*.f64 x z))>
#<alt (*.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (*.f64 x y) (fma.f64 z y (*.f64 x z)))))>
#<alt (sqrt.f64 (+.f64 (*.f64 x y) (fma.f64 z y (*.f64 x z))))>
#<alt (+.f64 (*.f64 x y) (fma.f64 z y (*.f64 x z)))>
#<alt (*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 x y)))>
#<alt (sqrt.f64 (*.f64 x y))>
#<alt (*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 z (+.f64 x y))))>
#<alt (sqrt.f64 (*.f64 z (+.f64 x y)))>
#<alt (*.f64 z (+.f64 x y))>
#<alt (+.f64 x y)>
#<alt (*.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 (-.f64 (*.f64 (*.f64 x z) (*.f64 x z)) (pow.f64 (*.f64 y (+.f64 x z)) #s(literal 2 binary64))) (-.f64 (*.f64 x z) (*.f64 y (+.f64 x z))))))>
#<alt (sqrt.f64 (/.f64 (-.f64 (*.f64 (*.f64 x z) (*.f64 x z)) (pow.f64 (*.f64 y (+.f64 x z)) #s(literal 2 binary64))) (-.f64 (*.f64 x z) (*.f64 y (+.f64 x z)))))>
#<alt (/.f64 (-.f64 (*.f64 (*.f64 x z) (*.f64 x z)) (pow.f64 (*.f64 y (+.f64 x z)) #s(literal 2 binary64))) (-.f64 (*.f64 x z) (*.f64 y (+.f64 x z))))>
#<alt (-.f64 (*.f64 (*.f64 x z) (*.f64 x z)) (pow.f64 (*.f64 y (+.f64 x z)) #s(literal 2 binary64)))>
#<alt (pow.f64 (cbrt.f64 (*.f64 x y)) #s(literal 3 binary64))>
#<alt (*.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (pow.f64 (cbrt.f64 (*.f64 x y)) #s(literal 3 binary64)) (*.f64 z (+.f64 y x)))))>
#<alt (sqrt.f64 (+.f64 (pow.f64 (cbrt.f64 (*.f64 x y)) #s(literal 3 binary64)) (*.f64 z (+.f64 y x))))>
#<alt (+.f64 (pow.f64 (cbrt.f64 (*.f64 x y)) #s(literal 3 binary64)) (*.f64 z (+.f64 y x)))>
#<alt (-.f64 (*.f64 x z) (*.f64 y (+.f64 x z)))>
#<alt (cbrt.f64 (*.f64 x y))>
Outputs
#<alt (*.f64 z (+.f64 x y))>
#<alt (*.f64 z (+.f64 x y))>
#<alt (*.f64 z (+.f64 x y))>
#<alt (*.f64 z (+.f64 x y))>
#<alt (*.f64 z (+.f64 x y))>
#<alt (*.f64 z (+.f64 x y))>
#<alt (*.f64 z (+.f64 x y))>
#<alt (*.f64 z (+.f64 x y))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1 binary64) y))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1 binary64) y))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1 binary64) y))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1 binary64) y))))>
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#<alt (-.f64 (*.f64 x (-.f64 z y)) (*.f64 y z))>
#<alt (*.f64 x (-.f64 z y))>
#<alt (*.f64 x (-.f64 (+.f64 z (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 y z) x))) y))>
#<alt (*.f64 x (-.f64 (+.f64 z (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 y z) x))) y))>
#<alt (*.f64 x (-.f64 (+.f64 z (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 y z) x))) y))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) z) (*.f64 #s(literal -1 binary64) y))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (+.f64 (*.f64 #s(literal -1 binary64) z) (/.f64 (*.f64 y z) x)) (*.f64 #s(literal -1 binary64) y))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (+.f64 (*.f64 #s(literal -1 binary64) z) (/.f64 (*.f64 y z) x)) (*.f64 #s(literal -1 binary64) y))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (+.f64 (*.f64 #s(literal -1 binary64) z) (/.f64 (*.f64 y z) x)) (*.f64 #s(literal -1 binary64) y))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x y))>
#<alt (-.f64 (*.f64 z (-.f64 x y)) (*.f64 x y))>
#<alt (-.f64 (*.f64 z (-.f64 x y)) (*.f64 x y))>
#<alt (-.f64 (*.f64 z (-.f64 x y)) (*.f64 x y))>
#<alt (*.f64 z (-.f64 x y))>
#<alt (*.f64 z (-.f64 (+.f64 x (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x y) z))) y))>
#<alt (*.f64 z (-.f64 (+.f64 x (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x y) z))) y))>
#<alt (*.f64 z (-.f64 (+.f64 x (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x y) z))) y))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (-.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1 binary64) y))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (-.f64 (+.f64 (*.f64 #s(literal -1 binary64) x) (/.f64 (*.f64 x y) z)) (*.f64 #s(literal -1 binary64) y))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (-.f64 (+.f64 (*.f64 #s(literal -1 binary64) x) (/.f64 (*.f64 x y) z)) (*.f64 #s(literal -1 binary64) y))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (-.f64 (+.f64 (*.f64 #s(literal -1 binary64) x) (/.f64 (*.f64 x y) z)) (*.f64 #s(literal -1 binary64) y))))>
#<alt (*.f64 x z)>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 x z))) (*.f64 x z))>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 x z))) (*.f64 x z))>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 x z))) (*.f64 x z))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 x z)))>
#<alt (*.f64 y (-.f64 (/.f64 (*.f64 x z) y) (+.f64 x z)))>
#<alt (*.f64 y (-.f64 (/.f64 (*.f64 x z) y) (+.f64 x z)))>
#<alt (*.f64 y (-.f64 (/.f64 (*.f64 x z) y) (+.f64 x z)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 x z)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) y)) (*.f64 #s(literal -1 binary64) (+.f64 x z)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) y)) (*.f64 #s(literal -1 binary64) (+.f64 x z)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) y)) (*.f64 #s(literal -1 binary64) (+.f64 x z)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (cbrt.f64 (*.f64 x y)) (cbrt.f64 #s(literal -1 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (cbrt.f64 (*.f64 x y)) (cbrt.f64 #s(literal -1 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (cbrt.f64 (*.f64 x y)) (cbrt.f64 #s(literal -1 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (cbrt.f64 (*.f64 x y)) (cbrt.f64 #s(literal -1 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (cbrt.f64 (*.f64 x y)) (cbrt.f64 #s(literal -1 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (cbrt.f64 (*.f64 x y)) (cbrt.f64 #s(literal -1 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (cbrt.f64 (*.f64 x y)) (cbrt.f64 #s(literal -1 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (cbrt.f64 (*.f64 x y)) (cbrt.f64 #s(literal -1 binary64))))>
Calls

165 calls:

TimeVariablePointExpression
93.0ms
z
@-inf
(* 2 (sqrt (/ (- (* (* x z) (* x z)) (pow (* y (+ x z)) 2)) (- (* x z) (* y (+ x z))))))
66.0ms
y
@inf
(* 2 (sqrt (+ (pow (cbrt (* x y)) 3) (* z (+ y x)))))
53.0ms
y
@0
(cbrt (* x y))
18.0ms
x
@inf
(/ (- (* (* x z) (* x z)) (pow (* y (+ x z)) 2)) (- (* x z) (* y (+ x z))))
6.0ms
x
@inf
(sqrt (* z (+ x y)))

rewrite275.0ms (1.7%)

Algorithm
batch-egg-rewrite
Rules
272×log1p-expm1-u
272×expm1-log1p-u
268×add-cube-cbrt
265×add-exp-log
264×add-log-exp
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
041643
1747643
Stop Event
node limit
Counts
20 → 714
Calls
Call 1
Inputs
(fma.f64 z y (*.f64 x z))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (*.f64 x y) (fma.f64 z y (*.f64 x z)))))
(sqrt.f64 (+.f64 (*.f64 x y) (fma.f64 z y (*.f64 x z))))
(+.f64 (*.f64 x y) (fma.f64 z y (*.f64 x z)))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 x y)))
(sqrt.f64 (*.f64 x y))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 z (+.f64 x y))))
(sqrt.f64 (*.f64 z (+.f64 x y)))
(*.f64 z (+.f64 x y))
(+.f64 x y)
(*.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 (-.f64 (*.f64 (*.f64 x z) (*.f64 x z)) (pow.f64 (*.f64 y (+.f64 x z)) #s(literal 2 binary64))) (-.f64 (*.f64 x z) (*.f64 y (+.f64 x z))))))
(sqrt.f64 (/.f64 (-.f64 (*.f64 (*.f64 x z) (*.f64 x z)) (pow.f64 (*.f64 y (+.f64 x z)) #s(literal 2 binary64))) (-.f64 (*.f64 x z) (*.f64 y (+.f64 x z)))))
(/.f64 (-.f64 (*.f64 (*.f64 x z) (*.f64 x z)) (pow.f64 (*.f64 y (+.f64 x z)) #s(literal 2 binary64))) (-.f64 (*.f64 x z) (*.f64 y (+.f64 x z))))
(-.f64 (*.f64 (*.f64 x z) (*.f64 x z)) (pow.f64 (*.f64 y (+.f64 x z)) #s(literal 2 binary64)))
(pow.f64 (cbrt.f64 (*.f64 x y)) #s(literal 3 binary64))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (pow.f64 (cbrt.f64 (*.f64 x y)) #s(literal 3 binary64)) (*.f64 z (+.f64 y x)))))
(sqrt.f64 (+.f64 (pow.f64 (cbrt.f64 (*.f64 x y)) #s(literal 3 binary64)) (*.f64 z (+.f64 y x))))
(+.f64 (pow.f64 (cbrt.f64 (*.f64 x y)) #s(literal 3 binary64)) (*.f64 z (+.f64 y x)))
(-.f64 (*.f64 x z) (*.f64 y (+.f64 x z)))
(cbrt.f64 (*.f64 x y))
Outputs
(+.f64 (*.f64 z x) (*.f64 z y))
(+.f64 (*.f64 z x) (*.f64 y z))
(+.f64 (*.f64 z y) (*.f64 z x))
(+.f64 (*.f64 y z) (*.f64 z x))
(+.f64 (*.f64 (*.f64 z x) #s(literal 1 binary64)) (*.f64 (*.f64 z y) #s(literal 1 binary64)))
(+.f64 (*.f64 (*.f64 z x) #s(literal 1 binary64)) (*.f64 (*.f64 y z) #s(literal 1 binary64)))
(+.f64 (*.f64 (*.f64 z y) #s(literal 1 binary64)) (*.f64 (*.f64 z x) #s(literal 1 binary64)))
(+.f64 (*.f64 (*.f64 y z) #s(literal 1 binary64)) (*.f64 (*.f64 z x) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 z (+.f64 y x)))) #s(literal 1 binary64))
(*.f64 z (+.f64 y x))
(*.f64 (+.f64 y x) z)
(*.f64 (sqrt.f64 (*.f64 z (+.f64 y x))) (sqrt.f64 (*.f64 z (+.f64 y x))))
(*.f64 #s(literal 1 binary64) (*.f64 z (+.f64 y x)))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 z (+.f64 y x))) #s(literal 2 binary64)) (cbrt.f64 (*.f64 z (+.f64 y x))))
(*.f64 (*.f64 z #s(literal 1 binary64)) (+.f64 y x))
(*.f64 (*.f64 (sqrt.f64 (*.f64 z (+.f64 y x))) (pow.f64 (*.f64 z (+.f64 y x)) #s(literal 1/4 binary64))) (pow.f64 (*.f64 z (+.f64 y x)) #s(literal 1/4 binary64)))
(*.f64 (*.f64 z (pow.f64 (cbrt.f64 (+.f64 y x)) #s(literal 2 binary64))) (cbrt.f64 (+.f64 y x)))
(*.f64 (*.f64 z (sqrt.f64 (+.f64 y x))) (sqrt.f64 (+.f64 y x)))
(*.f64 (*.f64 (+.f64 y x) #s(literal 1 binary64)) z)
(*.f64 (*.f64 (+.f64 y x) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))) (cbrt.f64 z))
(*.f64 (*.f64 (+.f64 y x) (sqrt.f64 z)) (sqrt.f64 z))
(*.f64 (*.f64 (sqrt.f64 (*.f64 z (+.f64 y x))) #s(literal 1 binary64)) (sqrt.f64 (*.f64 z (+.f64 y x))))
(*.f64 (*.f64 (sqrt.f64 (*.f64 z (+.f64 y x))) (cbrt.f64 (*.f64 z (+.f64 y x)))) (cbrt.f64 (sqrt.f64 (*.f64 z (+.f64 y x)))))
(*.f64 (*.f64 (sqrt.f64 (*.f64 z (+.f64 y x))) (sqrt.f64 z)) (sqrt.f64 (+.f64 y x)))
(/.f64 (+.f64 (pow.f64 (*.f64 z x) #s(literal 3 binary64)) (pow.f64 (*.f64 z y) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 z x) #s(literal 2 binary64)) (-.f64 (*.f64 (*.f64 z y) (*.f64 z y)) (*.f64 (*.f64 z x) (*.f64 z y)))))
(/.f64 (+.f64 (pow.f64 (*.f64 z x) #s(literal 3 binary64)) (pow.f64 (*.f64 y z) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 z x) #s(literal 2 binary64)) (-.f64 (*.f64 (*.f64 y z) (*.f64 y z)) (*.f64 (*.f64 z x) (*.f64 y z)))))
(/.f64 (+.f64 (pow.f64 (*.f64 z y) #s(literal 3 binary64)) (pow.f64 (*.f64 z x) #s(literal 3 binary64))) (+.f64 (*.f64 (*.f64 z y) (*.f64 z y)) (-.f64 (pow.f64 (*.f64 z x) #s(literal 2 binary64)) (*.f64 (*.f64 z y) (*.f64 z x)))))
(/.f64 (+.f64 (pow.f64 (*.f64 y z) #s(literal 3 binary64)) (pow.f64 (*.f64 z x) #s(literal 3 binary64))) (+.f64 (*.f64 (*.f64 y z) (*.f64 y z)) (-.f64 (pow.f64 (*.f64 z x) #s(literal 2 binary64)) (*.f64 (*.f64 y z) (*.f64 z x)))))
(/.f64 (-.f64 (pow.f64 (*.f64 z x) #s(literal 2 binary64)) (*.f64 (*.f64 z y) (*.f64 z y))) (-.f64 (*.f64 z x) (*.f64 z y)))
(/.f64 (-.f64 (pow.f64 (*.f64 z x) #s(literal 2 binary64)) (*.f64 (*.f64 y z) (*.f64 y z))) (-.f64 (*.f64 z x) (*.f64 y z)))
(/.f64 (-.f64 (*.f64 (*.f64 z y) (*.f64 z y)) (pow.f64 (*.f64 z x) #s(literal 2 binary64))) (-.f64 (*.f64 z y) (*.f64 z x)))
(/.f64 (-.f64 (*.f64 (*.f64 y z) (*.f64 y z)) (pow.f64 (*.f64 z x) #s(literal 2 binary64))) (-.f64 (*.f64 y z) (*.f64 z x)))
(pow.f64 (*.f64 z (+.f64 y x)) #s(literal 1 binary64))
(pow.f64 (sqrt.f64 (*.f64 z (+.f64 y x))) #s(literal 2 binary64))
(pow.f64 (cbrt.f64 (*.f64 z (+.f64 y x))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 z (+.f64 y x)) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (*.f64 z (+.f64 y x)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(sqrt.f64 (pow.f64 (*.f64 z (+.f64 y x)) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 (+.f64 y x)) z))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 z (+.f64 y x)))))
(cbrt.f64 (pow.f64 (*.f64 z (+.f64 y x)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 z (+.f64 y x))))
(log1p.f64 (expm1.f64 (*.f64 z (+.f64 y x))))
(exp.f64 (log.f64 (*.f64 z (+.f64 y x))))
(exp.f64 (*.f64 (log.f64 (*.f64 z (+.f64 y x))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (fma.f64 z (+.f64 y x) (*.f64 y x)))))) #s(literal 1 binary64))
(pow.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (fma.f64 z (+.f64 y x) (*.f64 y x)))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (fma.f64 z (+.f64 y x) (*.f64 y x))))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (fma.f64 z (+.f64 y x) (*.f64 y x)))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (fma.f64 z (+.f64 y x) (*.f64 y x))))) #s(literal 2 binary64))
(sqrt.f64 (*.f64 (fma.f64 z (+.f64 y x) (*.f64 y x)) #s(literal 4 binary64)))
(log.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (sqrt.f64 (fma.f64 z (+.f64 y x) (*.f64 y x)))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (fma.f64 z (+.f64 y x) (*.f64 y x)))))))
(cbrt.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (fma.f64 z (+.f64 y x) (*.f64 y x)))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (fma.f64 z (+.f64 y x) (*.f64 y x))))))
(log1p.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (fma.f64 z (+.f64 y x) (*.f64 y x))))))
(exp.f64 (log.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (fma.f64 z (+.f64 y x) (*.f64 y x))))))
(exp.f64 (*.f64 (log.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (fma.f64 z (+.f64 y x) (*.f64 y x))))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (fma.f64 z (+.f64 y x) (*.f64 y x))))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 z (+.f64 y x) (*.f64 y x))))
(*.f64 (cbrt.f64 (fma.f64 z (+.f64 y x) (*.f64 y x))) (cbrt.f64 (sqrt.f64 (fma.f64 z (+.f64 y x) (*.f64 y x)))))
(*.f64 (sqrt.f64 (-.f64 (pow.f64 (*.f64 z x) #s(literal 2 binary64)) (pow.f64 (*.f64 y (+.f64 z x)) #s(literal 2 binary64)))) (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 z x) (*.f64 y (+.f64 z x)))) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 (-.f64 (pow.f64 (*.f64 z x) #s(literal 2 binary64)) (pow.f64 (*.f64 y (+.f64 z x)) #s(literal 2 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 z x) (*.f64 y (+.f64 z x))))))
(*.f64 (sqrt.f64 (-.f64 (pow.f64 (*.f64 z x) #s(literal 2 binary64)) (pow.f64 (*.f64 y (+.f64 z x)) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 (*.f64 z x) (*.f64 y (+.f64 z x))))))
(*.f64 (pow.f64 (fma.f64 z (+.f64 y x) (*.f64 y x)) #s(literal 1/4 binary64)) (pow.f64 (fma.f64 z (+.f64 y x) (*.f64 y x)) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/2 binary64)) (sqrt.f64 (fma.f64 z (+.f64 y x) (*.f64 y x))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (fma.f64 z (+.f64 y x) (*.f64 y x))) #s(literal 2 binary64)) #s(literal 1/2 binary64)) (pow.f64 (cbrt.f64 (fma.f64 z (+.f64 y x) (*.f64 y x))) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 z (+.f64 y x) (*.f64 y x))) #s(literal 2 binary64))) (sqrt.f64 (cbrt.f64 (fma.f64 z (+.f64 y x) (*.f64 y x)))))
(/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 z (+.f64 y x) (*.f64 y x)))))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (-.f64 (*.f64 z x) (*.f64 y (+.f64 z x)))) (sqrt.f64 (-.f64 (pow.f64 (*.f64 z x) #s(literal 2 binary64)) (pow.f64 (*.f64 y (+.f64 z x)) #s(literal 2 binary64))))))
(/.f64 (sqrt.f64 (-.f64 (pow.f64 (*.f64 z x) #s(literal 2 binary64)) (pow.f64 (*.f64 y (+.f64 z x)) #s(literal 2 binary64)))) (sqrt.f64 (-.f64 (*.f64 z x) (*.f64 y (+.f64 z x)))))
(/.f64 (sqrt.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 z x) #s(literal 2 binary64)) (pow.f64 (*.f64 y (+.f64 z x)) #s(literal 2 binary64))))) (sqrt.f64 (neg.f64 (-.f64 (*.f64 z x) (*.f64 y (+.f64 z x))))))
(/.f64 (sqrt.f64 (-.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (pow.f64 (*.f64 z (+.f64 y x)) #s(literal 2 binary64)))) (sqrt.f64 (-.f64 (*.f64 y x) (*.f64 z (+.f64 y x)))))
(/.f64 (sqrt.f64 (+.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) (pow.f64 (*.f64 z (+.f64 y x)) #s(literal 3 binary64)))) (sqrt.f64 (+.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (*.f64 (*.f64 z (+.f64 y x)) (-.f64 (*.f64 z (+.f64 y x)) (*.f64 y x))))))
(/.f64 (neg.f64 (sqrt.f64 (-.f64 (pow.f64 (*.f64 z x) #s(literal 2 binary64)) (pow.f64 (*.f64 y (+.f64 z x)) #s(literal 2 binary64))))) (neg.f64 (sqrt.f64 (-.f64 (*.f64 z x) (*.f64 y (+.f64 z x))))))
(pow.f64 (sqrt.f64 (fma.f64 z (+.f64 y x) (*.f64 y x))) #s(literal 1 binary64))
(pow.f64 (fma.f64 z (+.f64 y x) (*.f64 y x)) #s(literal 1/2 binary64))
(pow.f64 (cbrt.f64 (sqrt.f64 (fma.f64 z (+.f64 y x) (*.f64 y x)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (fma.f64 z (+.f64 y x) (*.f64 y x)) #s(literal 3/2 binary64)) #s(literal 1/3 binary64))
(pow.f64 (pow.f64 (fma.f64 z (+.f64 y x) (*.f64 y x)) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(fabs.f64 (sqrt.f64 (fma.f64 z (+.f64 y x) (*.f64 y x))))
(log.f64 (exp.f64 (sqrt.f64 (fma.f64 z (+.f64 y x) (*.f64 y x)))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (sqrt.f64 (fma.f64 z (+.f64 y x) (*.f64 y x))))))
(cbrt.f64 (pow.f64 (fma.f64 z (+.f64 y x) (*.f64 y x)) #s(literal 3/2 binary64)))
(expm1.f64 (log1p.f64 (sqrt.f64 (fma.f64 z (+.f64 y x) (*.f64 y x)))))
(hypot.f64 (sqrt.f64 (*.f64 y x)) (sqrt.f64 (*.f64 z (+.f64 y x))))
(hypot.f64 (sqrt.f64 (*.f64 z (+.f64 y x))) (sqrt.f64 (*.f64 y x)))
(log1p.f64 (expm1.f64 (sqrt.f64 (fma.f64 z (+.f64 y x) (*.f64 y x)))))
(exp.f64 (log.f64 (sqrt.f64 (fma.f64 z (+.f64 y x) (*.f64 y x)))))
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(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 z x) #s(literal 2 binary64)) (pow.f64 (*.f64 y (+.f64 z x)) #s(literal 2 binary64)))) (neg.f64 (fma.f64 z (+.f64 y x) (*.f64 y x))))
(/.f64 (-.f64 (pow.f64 (*.f64 z x) #s(literal 3 binary64)) (pow.f64 (*.f64 y (+.f64 z x)) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 z x) #s(literal 2 binary64)) (*.f64 (*.f64 y (+.f64 z x)) (fma.f64 z (+.f64 y x) (*.f64 y x)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 z x) #s(literal 3 binary64)) (pow.f64 (*.f64 y (+.f64 z x)) #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (*.f64 z x) #s(literal 2 binary64)) (*.f64 (*.f64 y (+.f64 z x)) (fma.f64 z (+.f64 y x) (*.f64 y x))))))
(/.f64 (+.f64 (pow.f64 (*.f64 z x) #s(literal 3 binary64)) (pow.f64 (*.f64 y (neg.f64 (+.f64 z x))) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 z x) #s(literal 2 binary64)) (-.f64 (*.f64 (*.f64 y (neg.f64 (+.f64 z x))) (*.f64 y (neg.f64 (+.f64 z x)))) (*.f64 (*.f64 z x) (*.f64 y (neg.f64 (+.f64 z x)))))))
(/.f64 (+.f64 (pow.f64 (-.f64 (*.f64 z x) (*.f64 y (+.f64 z x))) #s(literal 3 binary64)) (pow.f64 (fma.f64 (neg.f64 (+.f64 z x)) y (*.f64 y (+.f64 z x))) #s(literal 3 binary64))) (+.f64 (pow.f64 (-.f64 (*.f64 z x) (*.f64 y (+.f64 z x))) #s(literal 2 binary64)) (-.f64 (*.f64 (fma.f64 (neg.f64 (+.f64 z x)) y (*.f64 y (+.f64 z x))) (fma.f64 (neg.f64 (+.f64 z x)) y (*.f64 y (+.f64 z x)))) (*.f64 (-.f64 (*.f64 z x) (*.f64 y (+.f64 z x))) (fma.f64 (neg.f64 (+.f64 z x)) y (*.f64 y (+.f64 z x)))))))
(/.f64 (-.f64 (pow.f64 (*.f64 z x) #s(literal 2 binary64)) (*.f64 (*.f64 y (neg.f64 (+.f64 z x))) (*.f64 y (neg.f64 (+.f64 z x))))) (-.f64 (*.f64 z x) (*.f64 y (neg.f64 (+.f64 z x)))))
(/.f64 (-.f64 (pow.f64 (-.f64 (*.f64 z x) (*.f64 y (+.f64 z x))) #s(literal 2 binary64)) (*.f64 (fma.f64 (neg.f64 (+.f64 z x)) y (*.f64 y (+.f64 z x))) (fma.f64 (neg.f64 (+.f64 z x)) y (*.f64 y (+.f64 z x))))) (-.f64 (-.f64 (*.f64 z x) (*.f64 y (+.f64 z x))) (fma.f64 (neg.f64 (+.f64 z x)) y (*.f64 y (+.f64 z x)))))
(pow.f64 (-.f64 (*.f64 z x) (*.f64 y (+.f64 z x))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (-.f64 (*.f64 z x) (*.f64 y (+.f64 z x)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (-.f64 (*.f64 z x) (*.f64 y (+.f64 z x))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (-.f64 (*.f64 z x) (*.f64 y (+.f64 z x)))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (-.f64 (*.f64 z x) (*.f64 y (+.f64 z x))) #s(literal 2 binary64)))
(log.f64 (exp.f64 (-.f64 (*.f64 z x) (*.f64 y (+.f64 z x)))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (-.f64 (*.f64 z x) (*.f64 y (+.f64 z x))))))
(cbrt.f64 (pow.f64 (-.f64 (*.f64 z x) (*.f64 y (+.f64 z x))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (-.f64 (*.f64 z x) (*.f64 y (+.f64 z x)))))
(log1p.f64 (expm1.f64 (-.f64 (*.f64 z x) (*.f64 y (+.f64 z x)))))
(exp.f64 (log.f64 (-.f64 (*.f64 z x) (*.f64 y (+.f64 z x)))))
(exp.f64 (*.f64 (log.f64 (-.f64 (*.f64 z x) (*.f64 y (+.f64 z x)))) #s(literal 1 binary64)))
(fma.f64 z x (*.f64 y (neg.f64 (+.f64 z x))))
(fma.f64 x z (*.f64 y (neg.f64 (+.f64 z x))))
(fma.f64 #s(literal 1 binary64) (*.f64 z x) (*.f64 y (neg.f64 (+.f64 z x))))
(fma.f64 #s(literal 1 binary64) (-.f64 (*.f64 z x) (*.f64 y (+.f64 z x))) (fma.f64 (neg.f64 (+.f64 z x)) y (*.f64 y (+.f64 z x))))
(fma.f64 (pow.f64 (cbrt.f64 (-.f64 (*.f64 z x) (*.f64 y (+.f64 z x)))) #s(literal 2 binary64)) (cbrt.f64 (-.f64 (*.f64 z x) (*.f64 y (+.f64 z x)))) (fma.f64 (neg.f64 (+.f64 z x)) y (*.f64 y (+.f64 z x))))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 z x)) #s(literal 2 binary64)) (cbrt.f64 (*.f64 z x)) (*.f64 y (neg.f64 (+.f64 z x))))
(fma.f64 (sqrt.f64 (-.f64 (*.f64 z x) (*.f64 y (+.f64 z x)))) (sqrt.f64 (-.f64 (*.f64 z x) (*.f64 y (+.f64 z x)))) (fma.f64 (neg.f64 (+.f64 z x)) y (*.f64 y (+.f64 z x))))
(fma.f64 (sqrt.f64 (*.f64 z x)) (sqrt.f64 (*.f64 z x)) (*.f64 y (neg.f64 (+.f64 z x))))
(-.f64 (exp.f64 (log1p.f64 (cbrt.f64 (*.f64 y x)))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (cbrt.f64 (*.f64 y x)))
(*.f64 (cbrt.f64 x) (cbrt.f64 y))
(*.f64 (cbrt.f64 y) (cbrt.f64 x))
(*.f64 (cbrt.f64 (cbrt.f64 (*.f64 y x))) (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 y x))) #s(literal 2 binary64)))
(*.f64 (cbrt.f64 (cbrt.f64 (*.f64 y x))) (pow.f64 (pow.f64 (cbrt.f64 (*.f64 y x)) #s(literal 2 binary64)) #s(literal 1/3 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 y x))) #s(literal 2 binary64)) (cbrt.f64 (cbrt.f64 (*.f64 y x))))
(*.f64 (pow.f64 (*.f64 y x) #s(literal 1/6 binary64)) (pow.f64 (*.f64 y x) #s(literal 1/6 binary64)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (*.f64 y x)) #s(literal 2 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (cbrt.f64 (*.f64 y x))))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/3 binary64)) (cbrt.f64 (*.f64 y x)))
(pow.f64 (*.f64 y x) #s(literal 1/3 binary64))
(pow.f64 (cbrt.f64 (*.f64 y x)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 y x))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 y x) #s(literal 1/6 binary64)) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 y x)) #s(literal 2 binary64)))
(log.f64 (exp.f64 (cbrt.f64 (*.f64 y x))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (cbrt.f64 (*.f64 y x)))))
(expm1.f64 (log1p.f64 (cbrt.f64 (*.f64 y x))))
(log1p.f64 (expm1.f64 (cbrt.f64 (*.f64 y x))))
(exp.f64 (log.f64 (cbrt.f64 (*.f64 y x))))
(exp.f64 (*.f64 (log.f64 (*.f64 y x)) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 y x))) #s(literal 1 binary64)))

simplify1.1s (6.5%)

Algorithm
egg-herbie
Rules
630×times-frac
413×+-commutative
336×associate-*r*
301×fma-define
196×distribute-lft-in
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
02495111930
16891110474
Stop Event
node limit
Counts
1292 → 1201
Calls
Call 1
Inputs
(*.f64 z (+.f64 x y))
(*.f64 z (+.f64 x y))
(*.f64 z (+.f64 x y))
(*.f64 z (+.f64 x y))
(*.f64 z (+.f64 x y))
(*.f64 z (+.f64 x y))
(*.f64 z (+.f64 x y))
(*.f64 z (+.f64 x y))
(*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1 binary64) y))))
(*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1 binary64) y))))
(*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1 binary64) y))))
(*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1 binary64) y))))
(*.f64 x z)
(+.f64 (*.f64 x z) (*.f64 y z))
(+.f64 (*.f64 x z) (*.f64 y z))
(+.f64 (*.f64 x z) (*.f64 y z))
(*.f64 y z)
(*.f64 y (+.f64 z (/.f64 (*.f64 x z) y)))
(*.f64 y (+.f64 z (/.f64 (*.f64 x z) y)))
(*.f64 y (+.f64 z (/.f64 (*.f64 x z) y)))
(*.f64 y z)
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) z) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) y)))))
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) z) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) y)))))
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) z) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) y)))))
(*.f64 y z)
(+.f64 (*.f64 x z) (*.f64 y z))
(+.f64 (*.f64 x z) (*.f64 y z))
(+.f64 (*.f64 x z) (*.f64 y z))
(*.f64 x z)
(*.f64 x (+.f64 z (/.f64 (*.f64 y z) x)))
(*.f64 x (+.f64 z (/.f64 (*.f64 y z) x)))
(*.f64 x (+.f64 z (/.f64 (*.f64 y z) x)))
(*.f64 x z)
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) z) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 y z) x)))))
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) z) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 y z) x)))))
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) z) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 y z) x)))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 y z)))
(+.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 y z))) (*.f64 (*.f64 x (+.f64 y z)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 y z)))))
(+.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 y z))) (*.f64 x (+.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 x (pow.f64 (+.f64 y z) #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 y z))) (+.f64 y z)))))
(+.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 y z))) (*.f64 x (+.f64 (*.f64 x (+.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))))) (pow.f64 (+.f64 y z) #s(literal 2 binary64)))) (*.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 x (pow.f64 (+.f64 y z) #s(literal 3 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 y #s(literal 5 binary64)) (pow.f64 z #s(literal 5 binary64))))))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 y z))) (+.f64 y z)))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 x (+.f64 y z))))
(*.f64 x (+.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 (+.f64 y z) x))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 y z)))) (*.f64 y z))))
(*.f64 x (+.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 5 binary64)) (pow.f64 (+.f64 y z) #s(literal 3 binary64))))) (*.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))) (+.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 (+.f64 y z) x))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 y z)))) (*.f64 y z)))))
(*.f64 x (+.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 5 binary64)) (pow.f64 (+.f64 y z) #s(literal 3 binary64))))) (*.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))) (+.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 7 binary64)) (pow.f64 (+.f64 y z) #s(literal 5 binary64))))) (*.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))))) (+.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 (+.f64 y z) x))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 y z)))) (*.f64 y z))))))
(*.f64 #s(literal -2 binary64) (*.f64 (sqrt.f64 (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) y) (*.f64 #s(literal -1 binary64) z)))) (sqrt.f64 #s(literal -1 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal 2 binary64) (*.f64 (sqrt.f64 (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) y) (*.f64 #s(literal -1 binary64) z)) x)) (sqrt.f64 #s(literal -1 binary64)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) y) (*.f64 #s(literal -1 binary64) z))))) (*.f64 y (*.f64 z (sqrt.f64 #s(literal -1 binary64))))))))
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 5 binary64)) (pow.f64 (+.f64 (*.f64 #s(literal -1 binary64) y) (*.f64 #s(literal -1 binary64) z)) #s(literal 3 binary64))))) (*.f64 (pow.f64 y #s(literal 2 binary64)) (*.f64 (pow.f64 z #s(literal 2 binary64)) (sqrt.f64 #s(literal -1 binary64)))))) (+.f64 (*.f64 #s(literal 2 binary64) (*.f64 (sqrt.f64 (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) y) (*.f64 #s(literal -1 binary64) z)) x)) (sqrt.f64 #s(literal -1 binary64)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) y) (*.f64 #s(literal -1 binary64) z))))) (*.f64 y (*.f64 z (sqrt.f64 #s(literal -1 binary64)))))))))
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 5 binary64)) (pow.f64 (+.f64 (*.f64 #s(literal -1 binary64) y) (*.f64 #s(literal -1 binary64) z)) #s(literal 3 binary64))))) (*.f64 (pow.f64 y #s(literal 2 binary64)) (*.f64 (pow.f64 z #s(literal 2 binary64)) (sqrt.f64 #s(literal -1 binary64)))))) (+.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 7 binary64)) (pow.f64 (+.f64 (*.f64 #s(literal -1 binary64) y) (*.f64 #s(literal -1 binary64) z)) #s(literal 5 binary64))))) (*.f64 (pow.f64 y #s(literal 3 binary64)) (*.f64 (pow.f64 z #s(literal 3 binary64)) (sqrt.f64 #s(literal -1 binary64)))))) (+.f64 (*.f64 #s(literal 2 binary64) (*.f64 (sqrt.f64 (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) y) (*.f64 #s(literal -1 binary64) z)) x)) (sqrt.f64 #s(literal -1 binary64)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) y) (*.f64 #s(literal -1 binary64) z))))) (*.f64 y (*.f64 z (sqrt.f64 #s(literal -1 binary64))))))))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 x z)))
(+.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 x z))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x z))) (*.f64 y (+.f64 x z))))
(+.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 x z))) (*.f64 y (+.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))))) (*.f64 y (pow.f64 (+.f64 x z) #s(literal 2 binary64))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x z))) (+.f64 x z)))))
(+.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 x z))) (*.f64 y (+.f64 (*.f64 y (+.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))))) (pow.f64 (+.f64 x z) #s(literal 2 binary64)))) (*.f64 #s(literal 1/8 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 5 binary64)) (pow.f64 z #s(literal 5 binary64))))) (*.f64 y (pow.f64 (+.f64 x z) #s(literal 3 binary64))))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x z))) (+.f64 x z)))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 y (+.f64 x z))))
(*.f64 y (+.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 (+.f64 x z) y))) (*.f64 (*.f64 x z) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 y #s(literal 3 binary64)) (+.f64 x z)))))))
(*.f64 y (+.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 y #s(literal 5 binary64)) (pow.f64 (+.f64 x z) #s(literal 3 binary64))))))) (+.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 (+.f64 x z) y))) (*.f64 (*.f64 x z) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 y #s(literal 3 binary64)) (+.f64 x z))))))))
(*.f64 y (+.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 y #s(literal 5 binary64)) (pow.f64 (+.f64 x z) #s(literal 3 binary64))))))) (+.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 y #s(literal 7 binary64)) (pow.f64 (+.f64 x z) #s(literal 5 binary64))))))) (+.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 (+.f64 x z) y))) (*.f64 (*.f64 x z) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 y #s(literal 3 binary64)) (+.f64 x z)))))))))
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(log1p.f64 (expm1.f64 (fma.f64 z (+.f64 y x) (*.f64 y x))))
(exp.f64 (log.f64 (fma.f64 z (+.f64 y x) (*.f64 y x))))
(exp.f64 (*.f64 (log.f64 (fma.f64 z (+.f64 y x) (*.f64 y x))) #s(literal 1 binary64)))
(fma.f64 z x (*.f64 y (+.f64 z x)))
(fma.f64 z (+.f64 y x) (*.f64 y x))
(fma.f64 y x (*.f64 z (+.f64 y x)))
(fma.f64 x z (*.f64 y (+.f64 z x)))
(fma.f64 x y (*.f64 z (+.f64 y x)))
(fma.f64 (sqrt.f64 (*.f64 y x)) (sqrt.f64 (*.f64 y x)) (*.f64 z (+.f64 y x)))
(fma.f64 (+.f64 y x) z (*.f64 y x))
(fma.f64 (sqrt.f64 (*.f64 z (+.f64 y x))) (sqrt.f64 (*.f64 z (+.f64 y x))) (*.f64 y x))
(fma.f64 (cbrt.f64 (*.f64 y x)) (pow.f64 (cbrt.f64 (*.f64 y x)) #s(literal 2 binary64)) (*.f64 z (+.f64 y x)))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 y x)) #s(literal 2 binary64)) (cbrt.f64 (*.f64 y x)) (*.f64 z (+.f64 y x)))
(fma.f64 #s(literal 1 binary64) (*.f64 z x) (*.f64 y (+.f64 z x)))
(fma.f64 #s(literal 1 binary64) (*.f64 z (+.f64 y x)) (*.f64 y x))
(fma.f64 #s(literal 1 binary64) (*.f64 y x) (*.f64 z (+.f64 y x)))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 z (+.f64 y x))) #s(literal 2 binary64)) (cbrt.f64 (*.f64 z (+.f64 y x))) (*.f64 y x))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 z x)) #s(literal 2 binary64)) (cbrt.f64 (*.f64 z x)) (*.f64 y (+.f64 z x)))
(fma.f64 (sqrt.f64 (*.f64 z x)) (sqrt.f64 (*.f64 z x)) (*.f64 y (+.f64 z x)))
(+.f64 (*.f64 z x) (*.f64 y (neg.f64 (+.f64 z x))))
(+.f64 (*.f64 z x) (+.f64 (*.f64 y (neg.f64 (+.f64 z x))) (fma.f64 (neg.f64 (+.f64 z x)) y (*.f64 y (+.f64 z x)))))
(+.f64 (-.f64 (*.f64 z x) (*.f64 y (+.f64 z x))) (fma.f64 (neg.f64 (+.f64 z x)) y (*.f64 y (+.f64 z x))))
(+.f64 (-.f64 (*.f64 z x) (*.f64 y (+.f64 z x))) (fma.f64 (neg.f64 y) (+.f64 z x) (*.f64 y (+.f64 z x))))
(+.f64 (-.f64 (*.f64 z x) (*.f64 y (+.f64 z x))) (fma.f64 (neg.f64 (sqrt.f64 (*.f64 y (+.f64 z x)))) (sqrt.f64 (*.f64 y (+.f64 z x))) (*.f64 y (+.f64 z x))))
(+.f64 (-.f64 (*.f64 z x) (*.f64 y (+.f64 z x))) (+.f64 (fma.f64 (neg.f64 (+.f64 z x)) y (*.f64 y (+.f64 z x))) (fma.f64 (neg.f64 (+.f64 z x)) y (*.f64 y (+.f64 z x)))))
(+.f64 (fma.f64 z x (neg.f64 (*.f64 (*.f64 y (+.f64 z x)) #s(literal 1 binary64)))) (fma.f64 (*.f64 y (neg.f64 (+.f64 z x))) #s(literal 1 binary64) (*.f64 (*.f64 y (+.f64 z x)) #s(literal 1 binary64))))
(+.f64 (fma.f64 z x (neg.f64 (*.f64 (cbrt.f64 (*.f64 y (+.f64 z x))) (pow.f64 (cbrt.f64 (*.f64 y (+.f64 z x))) #s(literal 2 binary64))))) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 y (+.f64 z x)))) (pow.f64 (cbrt.f64 (*.f64 y (+.f64 z x))) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (*.f64 y (+.f64 z x))) (pow.f64 (cbrt.f64 (*.f64 y (+.f64 z x))) #s(literal 2 binary64)))))
(+.f64 (fma.f64 x z (neg.f64 (*.f64 (*.f64 y (+.f64 z x)) #s(literal 1 binary64)))) (fma.f64 (*.f64 y (neg.f64 (+.f64 z x))) #s(literal 1 binary64) (*.f64 (*.f64 y (+.f64 z x)) #s(literal 1 binary64))))
(+.f64 (fma.f64 x z (neg.f64 (*.f64 (cbrt.f64 (*.f64 y (+.f64 z x))) (pow.f64 (cbrt.f64 (*.f64 y (+.f64 z x))) #s(literal 2 binary64))))) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 y (+.f64 z x)))) (pow.f64 (cbrt.f64 (*.f64 y (+.f64 z x))) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (*.f64 y (+.f64 z x))) (pow.f64 (cbrt.f64 (*.f64 y (+.f64 z x))) #s(literal 2 binary64)))))
(+.f64 (fma.f64 #s(literal 1 binary64) (*.f64 z x) (neg.f64 (*.f64 (*.f64 y (+.f64 z x)) #s(literal 1 binary64)))) (fma.f64 (*.f64 y (neg.f64 (+.f64 z x))) #s(literal 1 binary64) (*.f64 (*.f64 y (+.f64 z x)) #s(literal 1 binary64))))
(+.f64 (fma.f64 #s(literal 1 binary64) (*.f64 z x) (neg.f64 (*.f64 (cbrt.f64 (*.f64 y (+.f64 z x))) (pow.f64 (cbrt.f64 (*.f64 y (+.f64 z x))) #s(literal 2 binary64))))) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 y (+.f64 z x)))) (pow.f64 (cbrt.f64 (*.f64 y (+.f64 z x))) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (*.f64 y (+.f64 z x))) (pow.f64 (cbrt.f64 (*.f64 y (+.f64 z x))) #s(literal 2 binary64)))))
(+.f64 (fma.f64 (pow.f64 (cbrt.f64 (*.f64 z x)) #s(literal 2 binary64)) (cbrt.f64 (*.f64 z x)) (neg.f64 (*.f64 (*.f64 y (+.f64 z x)) #s(literal 1 binary64)))) (fma.f64 (*.f64 y (neg.f64 (+.f64 z x))) #s(literal 1 binary64) (*.f64 (*.f64 y (+.f64 z x)) #s(literal 1 binary64))))
(+.f64 (fma.f64 (pow.f64 (cbrt.f64 (*.f64 z x)) #s(literal 2 binary64)) (cbrt.f64 (*.f64 z x)) (neg.f64 (*.f64 (cbrt.f64 (*.f64 y (+.f64 z x))) (pow.f64 (cbrt.f64 (*.f64 y (+.f64 z x))) #s(literal 2 binary64))))) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 y (+.f64 z x)))) (pow.f64 (cbrt.f64 (*.f64 y (+.f64 z x))) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (*.f64 y (+.f64 z x))) (pow.f64 (cbrt.f64 (*.f64 y (+.f64 z x))) #s(literal 2 binary64)))))
(+.f64 (fma.f64 (sqrt.f64 (*.f64 z x)) (sqrt.f64 (*.f64 z x)) (neg.f64 (*.f64 (*.f64 y (+.f64 z x)) #s(literal 1 binary64)))) (fma.f64 (*.f64 y (neg.f64 (+.f64 z x))) #s(literal 1 binary64) (*.f64 (*.f64 y (+.f64 z x)) #s(literal 1 binary64))))
(+.f64 (fma.f64 (sqrt.f64 (*.f64 z x)) (sqrt.f64 (*.f64 z x)) (neg.f64 (*.f64 (cbrt.f64 (*.f64 y (+.f64 z x))) (pow.f64 (cbrt.f64 (*.f64 y (+.f64 z x))) #s(literal 2 binary64))))) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 y (+.f64 z x)))) (pow.f64 (cbrt.f64 (*.f64 y (+.f64 z x))) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (*.f64 y (+.f64 z x))) (pow.f64 (cbrt.f64 (*.f64 y (+.f64 z x))) #s(literal 2 binary64)))))
(+.f64 (*.f64 (*.f64 z x) #s(literal 1 binary64)) (*.f64 (*.f64 y (neg.f64 (+.f64 z x))) #s(literal 1 binary64)))
(+.f64 (*.f64 (-.f64 (*.f64 z x) (*.f64 y (+.f64 z x))) #s(literal 1 binary64)) (*.f64 (fma.f64 (neg.f64 (+.f64 z x)) y (*.f64 y (+.f64 z x))) #s(literal 1 binary64)))
(*.f64 (-.f64 (pow.f64 (*.f64 z x) #s(literal 2 binary64)) (pow.f64 (*.f64 y (+.f64 z x)) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 z (+.f64 y x) (*.f64 y x))))
(*.f64 #s(literal 1 binary64) (-.f64 (*.f64 z x) (*.f64 y (+.f64 z x))))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 (*.f64 z x) (*.f64 y (+.f64 z x)))) #s(literal 2 binary64)) (cbrt.f64 (-.f64 (*.f64 z x) (*.f64 y (+.f64 z x)))))
(*.f64 (sqrt.f64 (-.f64 (*.f64 z x) (*.f64 y (+.f64 z x)))) (sqrt.f64 (-.f64 (*.f64 z x) (*.f64 y (+.f64 z x)))))
(*.f64 (-.f64 (pow.f64 (*.f64 z x) #s(literal 3 binary64)) (pow.f64 (*.f64 y (+.f64 z x)) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (*.f64 z x) #s(literal 2 binary64)) (*.f64 (*.f64 y (+.f64 z x)) (fma.f64 z (+.f64 y x) (*.f64 y x))))))
(*.f64 (+.f64 (sqrt.f64 (*.f64 z x)) (sqrt.f64 (*.f64 y (+.f64 z x)))) (-.f64 (sqrt.f64 (*.f64 z x)) (sqrt.f64 (*.f64 y (+.f64 z x)))))
(/.f64 (-.f64 (pow.f64 (*.f64 z x) #s(literal 2 binary64)) (pow.f64 (*.f64 y (+.f64 z x)) #s(literal 2 binary64))) (fma.f64 z (+.f64 y x) (*.f64 y x)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 z (+.f64 y x) (*.f64 y x)) (-.f64 (pow.f64 (*.f64 z x) #s(literal 2 binary64)) (pow.f64 (*.f64 y (+.f64 z x)) #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (pow.f64 (*.f64 z x) #s(literal 2 binary64)) (*.f64 (*.f64 y (+.f64 z x)) (fma.f64 z (+.f64 y x) (*.f64 y x)))) (-.f64 (pow.f64 (*.f64 z x) #s(literal 3 binary64)) (pow.f64 (*.f64 y (+.f64 z x)) #s(literal 3 binary64)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 z x) #s(literal 2 binary64)) (pow.f64 (*.f64 y (+.f64 z x)) #s(literal 2 binary64)))) (neg.f64 (fma.f64 z (+.f64 y x) (*.f64 y x))))
(/.f64 (-.f64 (pow.f64 (*.f64 z x) #s(literal 3 binary64)) (pow.f64 (*.f64 y (+.f64 z x)) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 z x) #s(literal 2 binary64)) (*.f64 (*.f64 y (+.f64 z x)) (fma.f64 z (+.f64 y x) (*.f64 y x)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 z x) #s(literal 3 binary64)) (pow.f64 (*.f64 y (+.f64 z x)) #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (*.f64 z x) #s(literal 2 binary64)) (*.f64 (*.f64 y (+.f64 z x)) (fma.f64 z (+.f64 y x) (*.f64 y x))))))
(/.f64 (+.f64 (pow.f64 (*.f64 z x) #s(literal 3 binary64)) (pow.f64 (*.f64 y (neg.f64 (+.f64 z x))) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 z x) #s(literal 2 binary64)) (-.f64 (*.f64 (*.f64 y (neg.f64 (+.f64 z x))) (*.f64 y (neg.f64 (+.f64 z x)))) (*.f64 (*.f64 z x) (*.f64 y (neg.f64 (+.f64 z x)))))))
(/.f64 (+.f64 (pow.f64 (-.f64 (*.f64 z x) (*.f64 y (+.f64 z x))) #s(literal 3 binary64)) (pow.f64 (fma.f64 (neg.f64 (+.f64 z x)) y (*.f64 y (+.f64 z x))) #s(literal 3 binary64))) (+.f64 (pow.f64 (-.f64 (*.f64 z x) (*.f64 y (+.f64 z x))) #s(literal 2 binary64)) (-.f64 (*.f64 (fma.f64 (neg.f64 (+.f64 z x)) y (*.f64 y (+.f64 z x))) (fma.f64 (neg.f64 (+.f64 z x)) y (*.f64 y (+.f64 z x)))) (*.f64 (-.f64 (*.f64 z x) (*.f64 y (+.f64 z x))) (fma.f64 (neg.f64 (+.f64 z x)) y (*.f64 y (+.f64 z x)))))))
(/.f64 (-.f64 (pow.f64 (*.f64 z x) #s(literal 2 binary64)) (*.f64 (*.f64 y (neg.f64 (+.f64 z x))) (*.f64 y (neg.f64 (+.f64 z x))))) (-.f64 (*.f64 z x) (*.f64 y (neg.f64 (+.f64 z x)))))
(/.f64 (-.f64 (pow.f64 (-.f64 (*.f64 z x) (*.f64 y (+.f64 z x))) #s(literal 2 binary64)) (*.f64 (fma.f64 (neg.f64 (+.f64 z x)) y (*.f64 y (+.f64 z x))) (fma.f64 (neg.f64 (+.f64 z x)) y (*.f64 y (+.f64 z x))))) (-.f64 (-.f64 (*.f64 z x) (*.f64 y (+.f64 z x))) (fma.f64 (neg.f64 (+.f64 z x)) y (*.f64 y (+.f64 z x)))))
(pow.f64 (-.f64 (*.f64 z x) (*.f64 y (+.f64 z x))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (-.f64 (*.f64 z x) (*.f64 y (+.f64 z x)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (-.f64 (*.f64 z x) (*.f64 y (+.f64 z x))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (-.f64 (*.f64 z x) (*.f64 y (+.f64 z x)))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (-.f64 (*.f64 z x) (*.f64 y (+.f64 z x))) #s(literal 2 binary64)))
(log.f64 (exp.f64 (-.f64 (*.f64 z x) (*.f64 y (+.f64 z x)))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (-.f64 (*.f64 z x) (*.f64 y (+.f64 z x))))))
(cbrt.f64 (pow.f64 (-.f64 (*.f64 z x) (*.f64 y (+.f64 z x))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (-.f64 (*.f64 z x) (*.f64 y (+.f64 z x)))))
(log1p.f64 (expm1.f64 (-.f64 (*.f64 z x) (*.f64 y (+.f64 z x)))))
(exp.f64 (log.f64 (-.f64 (*.f64 z x) (*.f64 y (+.f64 z x)))))
(exp.f64 (*.f64 (log.f64 (-.f64 (*.f64 z x) (*.f64 y (+.f64 z x)))) #s(literal 1 binary64)))
(fma.f64 z x (*.f64 y (neg.f64 (+.f64 z x))))
(fma.f64 x z (*.f64 y (neg.f64 (+.f64 z x))))
(fma.f64 #s(literal 1 binary64) (*.f64 z x) (*.f64 y (neg.f64 (+.f64 z x))))
(fma.f64 #s(literal 1 binary64) (-.f64 (*.f64 z x) (*.f64 y (+.f64 z x))) (fma.f64 (neg.f64 (+.f64 z x)) y (*.f64 y (+.f64 z x))))
(fma.f64 (pow.f64 (cbrt.f64 (-.f64 (*.f64 z x) (*.f64 y (+.f64 z x)))) #s(literal 2 binary64)) (cbrt.f64 (-.f64 (*.f64 z x) (*.f64 y (+.f64 z x)))) (fma.f64 (neg.f64 (+.f64 z x)) y (*.f64 y (+.f64 z x))))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 z x)) #s(literal 2 binary64)) (cbrt.f64 (*.f64 z x)) (*.f64 y (neg.f64 (+.f64 z x))))
(fma.f64 (sqrt.f64 (-.f64 (*.f64 z x) (*.f64 y (+.f64 z x)))) (sqrt.f64 (-.f64 (*.f64 z x) (*.f64 y (+.f64 z x)))) (fma.f64 (neg.f64 (+.f64 z x)) y (*.f64 y (+.f64 z x))))
(fma.f64 (sqrt.f64 (*.f64 z x)) (sqrt.f64 (*.f64 z x)) (*.f64 y (neg.f64 (+.f64 z x))))
(-.f64 (exp.f64 (log1p.f64 (cbrt.f64 (*.f64 y x)))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (cbrt.f64 (*.f64 y x)))
(*.f64 (cbrt.f64 x) (cbrt.f64 y))
(*.f64 (cbrt.f64 y) (cbrt.f64 x))
(*.f64 (cbrt.f64 (cbrt.f64 (*.f64 y x))) (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 y x))) #s(literal 2 binary64)))
(*.f64 (cbrt.f64 (cbrt.f64 (*.f64 y x))) (pow.f64 (pow.f64 (cbrt.f64 (*.f64 y x)) #s(literal 2 binary64)) #s(literal 1/3 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 y x))) #s(literal 2 binary64)) (cbrt.f64 (cbrt.f64 (*.f64 y x))))
(*.f64 (pow.f64 (*.f64 y x) #s(literal 1/6 binary64)) (pow.f64 (*.f64 y x) #s(literal 1/6 binary64)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (*.f64 y x)) #s(literal 2 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (cbrt.f64 (*.f64 y x))))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/3 binary64)) (cbrt.f64 (*.f64 y x)))
(pow.f64 (*.f64 y x) #s(literal 1/3 binary64))
(pow.f64 (cbrt.f64 (*.f64 y x)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 y x))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 y x) #s(literal 1/6 binary64)) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 y x)) #s(literal 2 binary64)))
(log.f64 (exp.f64 (cbrt.f64 (*.f64 y x))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (cbrt.f64 (*.f64 y x)))))
(expm1.f64 (log1p.f64 (cbrt.f64 (*.f64 y x))))
(log1p.f64 (expm1.f64 (cbrt.f64 (*.f64 y x))))
(exp.f64 (log.f64 (cbrt.f64 (*.f64 y x))))
(exp.f64 (*.f64 (log.f64 (*.f64 y x)) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 y x))) #s(literal 1 binary64)))
Outputs
(*.f64 z (+.f64 x y))
(*.f64 z (+.f64 x y))
(*.f64 z (+.f64 x y))
(*.f64 z (+.f64 x y))
(*.f64 z (+.f64 x y))
(*.f64 z (+.f64 x y))
(*.f64 z (+.f64 x y))
(*.f64 z (+.f64 x y))
(*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1 binary64) y))))
(*.f64 (neg.f64 z) (neg.f64 (+.f64 x y)))
(*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1 binary64) y))))
(*.f64 (neg.f64 z) (neg.f64 (+.f64 x y)))
(*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1 binary64) y))))
(*.f64 (neg.f64 z) (neg.f64 (+.f64 x y)))
(*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1 binary64) y))))
(*.f64 (neg.f64 z) (neg.f64 (+.f64 x y)))
(*.f64 x z)
(+.f64 (*.f64 x z) (*.f64 y z))
(*.f64 z (+.f64 x y))
(+.f64 (*.f64 x z) (*.f64 y z))
(*.f64 z (+.f64 x y))
(+.f64 (*.f64 x z) (*.f64 y z))
(*.f64 z (+.f64 x y))
(*.f64 y z)
(*.f64 y (+.f64 z (/.f64 (*.f64 x z) y)))
(*.f64 y (+.f64 z (*.f64 x (/.f64 z y))))
(*.f64 y (+.f64 z (/.f64 (*.f64 x z) y)))
(*.f64 y (+.f64 z (*.f64 x (/.f64 z y))))
(*.f64 y (+.f64 z (/.f64 (*.f64 x z) y)))
(*.f64 y (+.f64 z (*.f64 x (/.f64 z y))))
(*.f64 y z)
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) z) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) y)))))
(*.f64 (neg.f64 y) (*.f64 #s(literal -1 binary64) (+.f64 z (*.f64 x (/.f64 z y)))))
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) z) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) y)))))
(*.f64 (neg.f64 y) (*.f64 #s(literal -1 binary64) (+.f64 z (*.f64 x (/.f64 z y)))))
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) z) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) y)))))
(*.f64 (neg.f64 y) (*.f64 #s(literal -1 binary64) (+.f64 z (*.f64 x (/.f64 z y)))))
(*.f64 y z)
(+.f64 (*.f64 x z) (*.f64 y z))
(*.f64 z (+.f64 x y))
(+.f64 (*.f64 x z) (*.f64 y z))
(*.f64 z (+.f64 x y))
(+.f64 (*.f64 x z) (*.f64 y z))
(*.f64 z (+.f64 x y))
(*.f64 x z)
(*.f64 x (+.f64 z (/.f64 (*.f64 y z) x)))
(*.f64 x (+.f64 z (*.f64 y (/.f64 z x))))
(*.f64 x (+.f64 z (/.f64 (*.f64 y z) x)))
(*.f64 x (+.f64 z (*.f64 y (/.f64 z x))))
(*.f64 x (+.f64 z (/.f64 (*.f64 y z) x)))
(*.f64 x (+.f64 z (*.f64 y (/.f64 z x))))
(*.f64 x z)
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) z) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 y z) x)))))
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(fma.f64 z x (fma.f64 y (neg.f64 (+.f64 z x)) (fma.f64 (neg.f64 (+.f64 z x)) y (*.f64 y (+.f64 z x)))))
(fma.f64 (pow.f64 (cbrt.f64 (-.f64 (*.f64 z x) (*.f64 y (+.f64 z x)))) #s(literal 2 binary64)) (cbrt.f64 (-.f64 (*.f64 z x) (*.f64 y (+.f64 z x)))) (fma.f64 (neg.f64 (+.f64 z x)) y (*.f64 y (+.f64 z x))))
(fma.f64 z x (fma.f64 y (neg.f64 (+.f64 z x)) (fma.f64 (neg.f64 (+.f64 z x)) y (*.f64 y (+.f64 z x)))))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 z x)) #s(literal 2 binary64)) (cbrt.f64 (*.f64 z x)) (*.f64 y (neg.f64 (+.f64 z x))))
(-.f64 (*.f64 z x) (*.f64 y (+.f64 z x)))
(fma.f64 (sqrt.f64 (-.f64 (*.f64 z x) (*.f64 y (+.f64 z x)))) (sqrt.f64 (-.f64 (*.f64 z x) (*.f64 y (+.f64 z x)))) (fma.f64 (neg.f64 (+.f64 z x)) y (*.f64 y (+.f64 z x))))
(fma.f64 z x (fma.f64 y (neg.f64 (+.f64 z x)) (fma.f64 (neg.f64 (+.f64 z x)) y (*.f64 y (+.f64 z x)))))
(fma.f64 (sqrt.f64 (*.f64 z x)) (sqrt.f64 (*.f64 z x)) (*.f64 y (neg.f64 (+.f64 z x))))
(-.f64 (*.f64 z x) (*.f64 y (+.f64 z x)))
(-.f64 (exp.f64 (log1p.f64 (cbrt.f64 (*.f64 y x)))) #s(literal 1 binary64))
(expm1.f64 (log1p.f64 (cbrt.f64 (*.f64 y x))))
(*.f64 #s(literal 1 binary64) (cbrt.f64 (*.f64 y x)))
(cbrt.f64 (*.f64 y x))
(*.f64 (cbrt.f64 x) (cbrt.f64 y))
(*.f64 (cbrt.f64 y) (cbrt.f64 x))
(*.f64 (cbrt.f64 (cbrt.f64 (*.f64 y x))) (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 y x))) #s(literal 2 binary64)))
(cbrt.f64 (*.f64 y x))
(*.f64 (cbrt.f64 (cbrt.f64 (*.f64 y x))) (pow.f64 (pow.f64 (cbrt.f64 (*.f64 y x)) #s(literal 2 binary64)) #s(literal 1/3 binary64)))
(*.f64 (cbrt.f64 (cbrt.f64 (*.f64 y x))) (cbrt.f64 (pow.f64 (cbrt.f64 (*.f64 y x)) #s(literal 2 binary64))))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 y x))) #s(literal 2 binary64)) (cbrt.f64 (cbrt.f64 (*.f64 y x))))
(cbrt.f64 (*.f64 y x))
(*.f64 (pow.f64 (*.f64 y x) #s(literal 1/6 binary64)) (pow.f64 (*.f64 y x) #s(literal 1/6 binary64)))
(cbrt.f64 (*.f64 y x))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (*.f64 y x)) #s(literal 2 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (cbrt.f64 (*.f64 y x))))
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (*.f64 y x)) #s(literal 2 binary64))) (cbrt.f64 (cbrt.f64 (*.f64 y x))))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/3 binary64)) (cbrt.f64 (*.f64 y x)))
(cbrt.f64 (*.f64 y x))
(pow.f64 (*.f64 y x) #s(literal 1/3 binary64))
(cbrt.f64 (*.f64 y x))
(pow.f64 (cbrt.f64 (*.f64 y x)) #s(literal 1 binary64))
(cbrt.f64 (*.f64 y x))
(pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 y x))) #s(literal 3 binary64))
(cbrt.f64 (*.f64 y x))
(pow.f64 (pow.f64 (*.f64 y x) #s(literal 1/6 binary64)) #s(literal 2 binary64))
(cbrt.f64 (*.f64 y x))
(sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 y x)) #s(literal 2 binary64)))
(fabs.f64 (cbrt.f64 (*.f64 y x)))
(log.f64 (exp.f64 (cbrt.f64 (*.f64 y x))))
(cbrt.f64 (*.f64 y x))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (cbrt.f64 (*.f64 y x)))))
(cbrt.f64 (*.f64 y x))
(expm1.f64 (log1p.f64 (cbrt.f64 (*.f64 y x))))
(log1p.f64 (expm1.f64 (cbrt.f64 (*.f64 y x))))
(cbrt.f64 (*.f64 y x))
(exp.f64 (log.f64 (cbrt.f64 (*.f64 y x))))
(cbrt.f64 (*.f64 y x))
(exp.f64 (*.f64 (log.f64 (*.f64 y x)) #s(literal 1/3 binary64)))
(cbrt.f64 (*.f64 y x))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 y x))) #s(literal 1 binary64)))
(cbrt.f64 (*.f64 y x))

eval848.0ms (5.1%)

Compiler

Compiled 53241 to 6488 computations (87.8% saved)

prune279.0ms (1.7%)

Pruning

24 alts after pruning (23 fresh and 1 done)

PrunedKeptTotal
New1287161303
Fresh6713
Picked415
Done000
Total1297241321
Accuracy
85.8%
Counts
1321 → 24
Alt Table
Click to see full alt table
StatusAccuracyProgram
39.5%
(*.f64 z (+.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 (+.f64 x y) z))) (*.f64 (*.f64 x y) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 z #s(literal 3 binary64)) (+.f64 x y)))))))
34.4%
(*.f64 y (+.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 z y))) (*.f64 x (sqrt.f64 (/.f64 z (pow.f64 y #s(literal 3 binary64)))))))
36.7%
(*.f64 #s(literal 2 binary64) (pow.f64 (pow.f64 (*.f64 z (+.f64 y x)) #s(literal 1/4 binary64)) #s(literal 2 binary64)))
32.6%
(*.f64 #s(literal 2 binary64) (pow.f64 (pow.f64 (*.f64 y x) #s(literal 1/4 binary64)) #s(literal 2 binary64)))
32.5%
(*.f64 #s(literal 2 binary64) (pow.f64 (cbrt.f64 (*.f64 y x)) #s(literal 3/2 binary64)))
36.1%
(*.f64 #s(literal 2 binary64) (pow.f64 (cbrt.f64 (sqrt.f64 (*.f64 z (+.f64 y x)))) #s(literal 3 binary64)))
67.3%
(*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 z (+.f64 y x) (*.f64 y x))))))
52.8%
(*.f64 #s(literal 2 binary64) (*.f64 (sqrt.f64 (+.f64 y x)) (sqrt.f64 z)))
1.4%
(*.f64 #s(literal 2 binary64) (*.f64 (sqrt.f64 y) (sqrt.f64 x)))
36.5%
(*.f64 #s(literal 2 binary64) (*.f64 (fabs.f64 (cbrt.f64 (*.f64 z (+.f64 x y)))) (sqrt.f64 (cbrt.f64 (*.f64 z (+.f64 x y))))))
57.7%
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 z (+.f64 y (+.f64 x (*.f64 x (/.f64 y z)))))))
37.0%
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 z (fabs.f64 (+.f64 x y)))))
22.7%
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 z (cbrt.f64 (pow.f64 (+.f64 y x) #s(literal 3 binary64))))))
35.5%
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 z y)))
3.5%
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 z x)))
34.4%
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 x (+.f64 z y))))
57.7%
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 x (+.f64 y (+.f64 z (*.f64 z (/.f64 y x)))))))
49.8%
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 x (+.f64 y (+.f64 z (*.f64 y (/.f64 z x)))))))
32.7%
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 x y)))
33.7%
(*.f64 #s(literal 2 binary64) (sqrt.f64 (fabs.f64 (*.f64 x y))))
34.6%
(*.f64 #s(literal 2 binary64) (exp.f64 (*.f64 (log.f64 (*.f64 z (+.f64 y x))) #s(literal 1/2 binary64))))
24.7%
(*.f64 #s(literal 2 binary64) (cbrt.f64 (pow.f64 (*.f64 y x) #s(literal 3/2 binary64))))
36.9%
(sqrt.f64 (*.f64 z (*.f64 (+.f64 x y) #s(literal 4 binary64))))
35.3%
(expm1.f64 (log1p.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 z (+.f64 y x))))))
Compiler

Compiled 657 to 471 computations (28.3% saved)

simplify141.0ms (0.9%)

Algorithm
egg-herbie
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 z (+.f64 y x))
cost-diff0
(pow.f64 (*.f64 z (+.f64 y x)) #s(literal 1/4 binary64))
cost-diff6528
(pow.f64 (pow.f64 (*.f64 z (+.f64 y x)) #s(literal 1/4 binary64)) #s(literal 2 binary64))
cost-diff6528
(*.f64 #s(literal 2 binary64) (pow.f64 (pow.f64 (*.f64 z (+.f64 y x)) #s(literal 1/4 binary64)) #s(literal 2 binary64)))
cost-diff0
(*.f64 y x)
cost-diff0
(cbrt.f64 (*.f64 y x))
cost-diff0
(pow.f64 (cbrt.f64 (*.f64 y x)) #s(literal 3/2 binary64))
cost-diff0
(*.f64 #s(literal 2 binary64) (pow.f64 (cbrt.f64 (*.f64 y x)) #s(literal 3/2 binary64)))
cost-diff-6144
(sqrt.f64 (*.f64 x (+.f64 y (+.f64 z (*.f64 z (/.f64 y x))))))
cost-diff-6144
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 x (+.f64 y (+.f64 z (*.f64 z (/.f64 y x)))))))
cost-diff0
(/.f64 y x)
cost-diff0
(*.f64 z (/.f64 y x))
cost-diff0
(*.f64 z x)
cost-diff0
(sqrt.f64 (*.f64 z x))
cost-diff0
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 z x)))
cost-diff0
(/.f64 #s(literal 1 binary64) (fma.f64 z (+.f64 y x) (*.f64 y x)))
cost-diff0
(sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 z (+.f64 y x) (*.f64 y x))))
cost-diff0
(/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 z (+.f64 y x) (*.f64 y x)))))
cost-diff128
(*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 z (+.f64 y x) (*.f64 y x))))))
Rules
1040×fma-define
474×associate-/l/
467×associate-+r+
464×cube-prod
458×associate-+l+
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
039840
174812
2119799
3193799
4284787
5355787
6589787
71111787
82102787
93864787
104758787
114995787
125335787
136585787
Stop Event
node limit
Calls
Call 1
Inputs
(*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 z (+.f64 y x) (*.f64 y x))))))
#s(literal 2 binary64)
(/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 z (+.f64 y x) (*.f64 y x)))))
#s(literal 1 binary64)
(sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 z (+.f64 y x) (*.f64 y x))))
(/.f64 #s(literal 1 binary64) (fma.f64 z (+.f64 y x) (*.f64 y x)))
(fma.f64 z (+.f64 y x) (*.f64 y x))
z
(+.f64 y x)
y
x
(*.f64 y x)
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 z x)))
#s(literal 2 binary64)
(sqrt.f64 (*.f64 z x))
(*.f64 z x)
z
x
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 x (+.f64 y (+.f64 z (*.f64 z (/.f64 y x)))))))
#s(literal 2 binary64)
(sqrt.f64 (*.f64 x (+.f64 y (+.f64 z (*.f64 z (/.f64 y x))))))
(*.f64 x (+.f64 y (+.f64 z (*.f64 z (/.f64 y x)))))
x
(+.f64 y (+.f64 z (*.f64 z (/.f64 y x))))
y
(+.f64 z (*.f64 z (/.f64 y x)))
z
(*.f64 z (/.f64 y x))
(/.f64 y x)
(*.f64 #s(literal 2 binary64) (pow.f64 (cbrt.f64 (*.f64 y x)) #s(literal 3/2 binary64)))
#s(literal 2 binary64)
(pow.f64 (cbrt.f64 (*.f64 y x)) #s(literal 3/2 binary64))
(cbrt.f64 (*.f64 y x))
(*.f64 y x)
y
x
#s(literal 3/2 binary64)
(*.f64 #s(literal 2 binary64) (pow.f64 (pow.f64 (*.f64 z (+.f64 y x)) #s(literal 1/4 binary64)) #s(literal 2 binary64)))
#s(literal 2 binary64)
(pow.f64 (pow.f64 (*.f64 z (+.f64 y x)) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(pow.f64 (*.f64 z (+.f64 y x)) #s(literal 1/4 binary64))
(*.f64 z (+.f64 y x))
z
(+.f64 y x)
y
x
#s(literal 1/4 binary64)
Outputs
(*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 z (+.f64 y x) (*.f64 y x))))))
(/.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 z (+.f64 y x) (*.f64 y x)))))
(/.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (+.f64 z y) (*.f64 z y)))))
(/.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y (+.f64 z x) (*.f64 z x)))))
(/.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 z y (*.f64 x (+.f64 z y))))))
#s(literal 2 binary64)
(/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 z (+.f64 y x) (*.f64 y x)))))
(/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (+.f64 z y) (*.f64 z y)))))
(/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y (+.f64 z x) (*.f64 z x)))))
(/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 z y (*.f64 x (+.f64 z y))))))
#s(literal 1 binary64)
(sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 z (+.f64 y x) (*.f64 y x))))
(sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (+.f64 z y) (*.f64 z y))))
(sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y (+.f64 z x) (*.f64 z x))))
(sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 z y (*.f64 x (+.f64 z y)))))
(/.f64 #s(literal 1 binary64) (fma.f64 z (+.f64 y x) (*.f64 y x)))
(/.f64 #s(literal 1 binary64) (fma.f64 x (+.f64 z y) (*.f64 z y)))
(/.f64 #s(literal 1 binary64) (fma.f64 y (+.f64 z x) (*.f64 z x)))
(/.f64 #s(literal 1 binary64) (fma.f64 z y (*.f64 x (+.f64 z y))))
(fma.f64 z (+.f64 y x) (*.f64 y x))
(fma.f64 x (+.f64 z y) (*.f64 z y))
(fma.f64 y (+.f64 z x) (*.f64 z x))
(fma.f64 z y (*.f64 x (+.f64 z y)))
z
(+.f64 y x)
y
x
(*.f64 y x)
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 z x)))
#s(literal 2 binary64)
(sqrt.f64 (*.f64 z x))
(*.f64 z x)
z
x
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 x (+.f64 y (+.f64 z (*.f64 z (/.f64 y x)))))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 x (+.f64 y (fma.f64 z (/.f64 y x) z)))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 x (fma.f64 (+.f64 #s(literal 1 binary64) (/.f64 y x)) z y))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 x (fma.f64 z (+.f64 #s(literal 1 binary64) (/.f64 y x)) y))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (fma.f64 z (+.f64 y x) (*.f64 y x))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (fma.f64 x (+.f64 z y) (*.f64 z y))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (fma.f64 y (+.f64 z x) (*.f64 z x))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (fma.f64 z y (*.f64 x (+.f64 z y)))))
#s(literal 2 binary64)
(sqrt.f64 (*.f64 x (+.f64 y (+.f64 z (*.f64 z (/.f64 y x))))))
(sqrt.f64 (*.f64 x (+.f64 y (fma.f64 z (/.f64 y x) z))))
(sqrt.f64 (*.f64 x (fma.f64 (+.f64 #s(literal 1 binary64) (/.f64 y x)) z y)))
(sqrt.f64 (*.f64 x (fma.f64 z (+.f64 #s(literal 1 binary64) (/.f64 y x)) y)))
(sqrt.f64 (fma.f64 z (+.f64 y x) (*.f64 y x)))
(sqrt.f64 (fma.f64 x (+.f64 z y) (*.f64 z y)))
(sqrt.f64 (fma.f64 y (+.f64 z x) (*.f64 z x)))
(sqrt.f64 (fma.f64 z y (*.f64 x (+.f64 z y))))
(*.f64 x (+.f64 y (+.f64 z (*.f64 z (/.f64 y x)))))
(fma.f64 z (+.f64 y x) (*.f64 y x))
(fma.f64 x (+.f64 z y) (*.f64 z y))
(fma.f64 y (+.f64 z x) (*.f64 z x))
(fma.f64 z y (*.f64 x (+.f64 z y)))
x
(+.f64 y (+.f64 z (*.f64 z (/.f64 y x))))
(+.f64 y (fma.f64 z (/.f64 y x) z))
(fma.f64 (+.f64 #s(literal 1 binary64) (/.f64 y x)) z y)
(fma.f64 z (+.f64 #s(literal 1 binary64) (/.f64 y x)) y)
(fma.f64 (+.f64 #s(literal 1 binary64) (/.f64 z x)) y z)
y
(+.f64 z (*.f64 z (/.f64 y x)))
(fma.f64 z (/.f64 y x) z)
(fma.f64 y (/.f64 z x) z)
z
(*.f64 z (/.f64 y x))
(/.f64 y x)
(*.f64 #s(literal 2 binary64) (pow.f64 (cbrt.f64 (*.f64 y x)) #s(literal 3/2 binary64)))
#s(literal 2 binary64)
(pow.f64 (cbrt.f64 (*.f64 y x)) #s(literal 3/2 binary64))
(cbrt.f64 (*.f64 y x))
(*.f64 y x)
y
x
#s(literal 3/2 binary64)
(*.f64 #s(literal 2 binary64) (pow.f64 (pow.f64 (*.f64 z (+.f64 y x)) #s(literal 1/4 binary64)) #s(literal 2 binary64)))
(*.f64 #s(literal 2 binary64) (pow.f64 (*.f64 z (+.f64 y x)) #s(literal 1/2 binary64)))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 z (+.f64 y x))))
#s(literal 2 binary64)
(pow.f64 (pow.f64 (*.f64 z (+.f64 y x)) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(pow.f64 (*.f64 z (+.f64 y x)) #s(literal 1/2 binary64))
(sqrt.f64 (*.f64 z (+.f64 y x)))
(pow.f64 (*.f64 z (+.f64 y x)) #s(literal 1/4 binary64))
(*.f64 z (+.f64 y x))
z
(+.f64 y x)
y
x
#s(literal 1/4 binary64)

localize180.0ms (1.1%)

Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(*.f64 #s(literal 2 binary64) (pow.f64 (pow.f64 (*.f64 z (+.f64 y x)) #s(literal 1/4 binary64)) #s(literal 2 binary64)))
accuracy100.0%
(*.f64 z (+.f64 y x))
accuracy99.6%
(pow.f64 (pow.f64 (*.f64 z (+.f64 y x)) #s(literal 1/4 binary64)) #s(literal 2 binary64))
accuracy88.2%
(pow.f64 (*.f64 z (+.f64 y x)) #s(literal 1/4 binary64))
accuracy100.0%
(*.f64 y x)
accuracy100.0%
(*.f64 #s(literal 2 binary64) (pow.f64 (cbrt.f64 (*.f64 y x)) #s(literal 3/2 binary64)))
accuracy99.6%
(pow.f64 (cbrt.f64 (*.f64 y x)) #s(literal 3/2 binary64))
accuracy84.3%
(cbrt.f64 (*.f64 y x))
accuracy100.0%
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 x (+.f64 y (+.f64 z (*.f64 z (/.f64 y x)))))))
accuracy99.9%
(*.f64 z (/.f64 y x))
accuracy95.2%
(*.f64 x (+.f64 y (+.f64 z (*.f64 z (/.f64 y x)))))
accuracy84.0%
(sqrt.f64 (*.f64 x (+.f64 y (+.f64 z (*.f64 z (/.f64 y x))))))
accuracy100.0%
(*.f64 z x)
accuracy100.0%
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 z x)))
accuracy94.2%
(sqrt.f64 (*.f64 z x))
accuracy100.0%
(fma.f64 z (+.f64 y x) (*.f64 y x))
accuracy99.8%
(/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 z (+.f64 y x) (*.f64 y x)))))
accuracy98.9%
(/.f64 #s(literal 1 binary64) (fma.f64 z (+.f64 y x) (*.f64 y x)))
accuracy85.3%
(sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 z (+.f64 y x) (*.f64 y x))))
Results
64.0ms126×0invalid
57.0ms130×0valid
Compiler

Compiled 218 to 32 computations (85.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 65.0ms
ival-mult: 29.0ms (44.8% of total)
ival-pow: 14.0ms (21.6% of total)
ival-div: 6.0ms (9.3% of total)
ival-sqrt: 6.0ms (9.3% of total)
ival-add: 4.0ms (6.2% of total)
ival-fma: 3.0ms (4.6% of total)
ival-cbrt: 2.0ms (3.1% of total)
const: 1.0ms (1.5% of total)
backward-pass: 0.0ms (0% of total)

series216.0ms (1.3%)

Counts
20 → 600
Calls
Call 1
Inputs
#<alt (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 z (+.f64 y x) (*.f64 y x))))))>
#<alt (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 z (+.f64 y x) (*.f64 y x)))))>
#<alt (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 z (+.f64 y x) (*.f64 y x))))>
#<alt (/.f64 #s(literal 1 binary64) (fma.f64 z (+.f64 y x) (*.f64 y x)))>
#<alt (*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 z x)))>
#<alt (sqrt.f64 (*.f64 z x))>
#<alt (*.f64 z x)>
#<alt (*.f64 z (/.f64 y x))>
#<alt (/.f64 y x)>
#<alt (*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 x (+.f64 y (+.f64 z (*.f64 z (/.f64 y x)))))))>
#<alt (sqrt.f64 (*.f64 x (+.f64 y (+.f64 z (*.f64 z (/.f64 y x))))))>
#<alt (*.f64 #s(literal 2 binary64) (pow.f64 (cbrt.f64 (*.f64 y x)) #s(literal 3/2 binary64)))>
#<alt (pow.f64 (cbrt.f64 (*.f64 y x)) #s(literal 3/2 binary64))>
#<alt (cbrt.f64 (*.f64 y x))>
#<alt (*.f64 y x)>
#<alt (*.f64 #s(literal 2 binary64) (pow.f64 (pow.f64 (*.f64 z (+.f64 y x)) #s(literal 1/4 binary64)) #s(literal 2 binary64)))>
#<alt (pow.f64 (pow.f64 (*.f64 z (+.f64 y x)) #s(literal 1/4 binary64)) #s(literal 2 binary64))>
#<alt (pow.f64 (*.f64 z (+.f64 y x)) #s(literal 1/4 binary64))>
#<alt (fma.f64 z (+.f64 y x) (*.f64 y x))>
#<alt (*.f64 x (+.f64 y (+.f64 z (*.f64 z (/.f64 y x)))))>
Outputs
#<alt (*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 x y)))>
#<alt (+.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 x y))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x y))) (*.f64 z (+.f64 x y))))>
#<alt (+.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 x y))) (*.f64 z (+.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))) (*.f64 z (pow.f64 (+.f64 x y) #s(literal 2 binary64))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x y))) (+.f64 x y)))))>
#<alt (+.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 x y))) (*.f64 z (+.f64 (*.f64 z (+.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))) (pow.f64 (+.f64 x y) #s(literal 2 binary64)))) (*.f64 #s(literal 1/8 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 5 binary64)) (pow.f64 y #s(literal 5 binary64))))) (*.f64 z (pow.f64 (+.f64 x y) #s(literal 3 binary64))))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x y))) (+.f64 x y)))))>
#<alt (*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 z (+.f64 x y))))>
#<alt (*.f64 z (+.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 (+.f64 x y) z))) (*.f64 (*.f64 x y) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 z #s(literal 3 binary64)) (+.f64 x y)))))))>
#<alt (*.f64 z (+.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 z #s(literal 5 binary64)) (pow.f64 (+.f64 x y) #s(literal 3 binary64))))))) (+.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 (+.f64 x y) z))) (*.f64 (*.f64 x y) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 z #s(literal 3 binary64)) (+.f64 x y))))))))>
#<alt (*.f64 z (+.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 z #s(literal 5 binary64)) (pow.f64 (+.f64 x y) #s(literal 3 binary64))))))) (+.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 z #s(literal 7 binary64)) (pow.f64 (+.f64 x y) #s(literal 5 binary64))))))) (+.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 (+.f64 x y) z))) (*.f64 (*.f64 x y) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 z #s(literal 3 binary64)) (+.f64 x y)))))))))>
#<alt (*.f64 #s(literal -2 binary64) (*.f64 (sqrt.f64 (*.f64 z (+.f64 x y))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal 2 binary64) (*.f64 (sqrt.f64 (/.f64 (+.f64 x y) z)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))) (*.f64 (*.f64 x y) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 z #s(literal 3 binary64)) (+.f64 x y))))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 (/.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 z #s(literal 5 binary64)) (pow.f64 (+.f64 x y) #s(literal 3 binary64))))))) (+.f64 (*.f64 #s(literal 2 binary64) (*.f64 (sqrt.f64 (/.f64 (+.f64 x y) z)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))) (*.f64 (*.f64 x y) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 z #s(literal 3 binary64)) (+.f64 x y)))))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 (/.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 z #s(literal 5 binary64)) (pow.f64 (+.f64 x y) #s(literal 3 binary64))))))) (+.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 (/.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 z #s(literal 7 binary64)) (pow.f64 (+.f64 x y) #s(literal 5 binary64))))))) (+.f64 (*.f64 #s(literal 2 binary64) (*.f64 (sqrt.f64 (/.f64 (+.f64 x y) z)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))) (*.f64 (*.f64 x y) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 z #s(literal 3 binary64)) (+.f64 x y))))))))))>
#<alt (*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 x z)))>
#<alt (+.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 x z))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x z))) (*.f64 y (+.f64 x z))))>
#<alt (+.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 x z))) (*.f64 y (+.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))))) (*.f64 y (pow.f64 (+.f64 x z) #s(literal 2 binary64))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x z))) (+.f64 x z)))))>
#<alt (+.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 x z))) (*.f64 y (+.f64 (*.f64 y (+.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))))) (pow.f64 (+.f64 x z) #s(literal 2 binary64)))) (*.f64 #s(literal 1/8 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 5 binary64)) (pow.f64 z #s(literal 5 binary64))))) (*.f64 y (pow.f64 (+.f64 x z) #s(literal 3 binary64))))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x z))) (+.f64 x z)))))>
#<alt (*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 y (+.f64 x z))))>
#<alt (*.f64 y (+.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 (+.f64 x z) y))) (*.f64 (*.f64 x z) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 y #s(literal 3 binary64)) (+.f64 x z)))))))>
#<alt (*.f64 y (+.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 y #s(literal 5 binary64)) (pow.f64 (+.f64 x z) #s(literal 3 binary64))))))) (+.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 (+.f64 x z) y))) (*.f64 (*.f64 x z) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 y #s(literal 3 binary64)) (+.f64 x z))))))))>
#<alt (*.f64 y (+.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 y #s(literal 5 binary64)) (pow.f64 (+.f64 x z) #s(literal 3 binary64))))))) (+.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 y #s(literal 7 binary64)) (pow.f64 (+.f64 x z) #s(literal 5 binary64))))))) (+.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 (+.f64 x z) y))) (*.f64 (*.f64 x z) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 y #s(literal 3 binary64)) (+.f64 x z)))))))))>
#<alt (*.f64 #s(literal -2 binary64) (*.f64 (sqrt.f64 (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1 binary64) z)))) (sqrt.f64 #s(literal -1 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal 2 binary64) (*.f64 (sqrt.f64 (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1 binary64) z)) y)) (sqrt.f64 #s(literal -1 binary64)))) (*.f64 (*.f64 x (*.f64 z (sqrt.f64 #s(literal -1 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 y #s(literal 3 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1 binary64) z)))))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 (pow.f64 z #s(literal 2 binary64)) (sqrt.f64 #s(literal -1 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 y #s(literal 5 binary64)) (pow.f64 (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1 binary64) z)) #s(literal 3 binary64))))))) (+.f64 (*.f64 #s(literal 2 binary64) (*.f64 (sqrt.f64 (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1 binary64) z)) y)) (sqrt.f64 #s(literal -1 binary64)))) (*.f64 (*.f64 x (*.f64 z (sqrt.f64 #s(literal -1 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 y #s(literal 3 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1 binary64) z))))))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 (pow.f64 z #s(literal 2 binary64)) (sqrt.f64 #s(literal -1 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 y #s(literal 5 binary64)) (pow.f64 (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1 binary64) z)) #s(literal 3 binary64))))))) (+.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (*.f64 (pow.f64 z #s(literal 3 binary64)) (sqrt.f64 #s(literal -1 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 y #s(literal 7 binary64)) (pow.f64 (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1 binary64) z)) #s(literal 5 binary64))))))) (+.f64 (*.f64 #s(literal 2 binary64) (*.f64 (sqrt.f64 (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1 binary64) z)) y)) (sqrt.f64 #s(literal -1 binary64)))) (*.f64 (*.f64 x (*.f64 z (sqrt.f64 #s(literal -1 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 y #s(literal 3 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1 binary64) z)))))))))))>
#<alt (*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 y z)))>
#<alt (+.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 y z))) (*.f64 (*.f64 x (+.f64 y z)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 y z)))))>
#<alt (+.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 y z))) (*.f64 x (+.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 x (pow.f64 (+.f64 y z) #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 y z))) (+.f64 y z)))))>
#<alt (+.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 y z))) (*.f64 x (+.f64 (*.f64 x (+.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))))) (pow.f64 (+.f64 y z) #s(literal 2 binary64)))) (*.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 x (pow.f64 (+.f64 y z) #s(literal 3 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 y #s(literal 5 binary64)) (pow.f64 z #s(literal 5 binary64))))))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 y z))) (+.f64 y z)))))>
#<alt (*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 x (+.f64 y z))))>
#<alt (*.f64 x (+.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 (+.f64 y z) x))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 y z)))) (*.f64 y z))))>
#<alt (*.f64 x (+.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 5 binary64)) (pow.f64 (+.f64 y z) #s(literal 3 binary64))))) (*.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))) (+.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 (+.f64 y z) x))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 y z)))) (*.f64 y z)))))>
#<alt (*.f64 x (+.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 5 binary64)) (pow.f64 (+.f64 y z) #s(literal 3 binary64))))) (*.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))) (+.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 7 binary64)) (pow.f64 (+.f64 y z) #s(literal 5 binary64))))) (*.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))))) (+.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 (+.f64 y z) x))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 y z)))) (*.f64 y z))))))>
#<alt (*.f64 #s(literal -2 binary64) (*.f64 (sqrt.f64 (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) y) (*.f64 #s(literal -1 binary64) z)))) (sqrt.f64 #s(literal -1 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal 2 binary64) (*.f64 (sqrt.f64 (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) y) (*.f64 #s(literal -1 binary64) z)) x)) (sqrt.f64 #s(literal -1 binary64)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) y) (*.f64 #s(literal -1 binary64) z))))) (*.f64 y (*.f64 z (sqrt.f64 #s(literal -1 binary64))))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 5 binary64)) (pow.f64 (+.f64 (*.f64 #s(literal -1 binary64) y) (*.f64 #s(literal -1 binary64) z)) #s(literal 3 binary64))))) (*.f64 (pow.f64 y #s(literal 2 binary64)) (*.f64 (pow.f64 z #s(literal 2 binary64)) (sqrt.f64 #s(literal -1 binary64)))))) (+.f64 (*.f64 #s(literal 2 binary64) (*.f64 (sqrt.f64 (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) y) (*.f64 #s(literal -1 binary64) z)) x)) (sqrt.f64 #s(literal -1 binary64)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) y) (*.f64 #s(literal -1 binary64) z))))) (*.f64 y (*.f64 z (sqrt.f64 #s(literal -1 binary64)))))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 5 binary64)) (pow.f64 (+.f64 (*.f64 #s(literal -1 binary64) y) (*.f64 #s(literal -1 binary64) z)) #s(literal 3 binary64))))) (*.f64 (pow.f64 y #s(literal 2 binary64)) (*.f64 (pow.f64 z #s(literal 2 binary64)) (sqrt.f64 #s(literal -1 binary64)))))) (+.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 7 binary64)) (pow.f64 (+.f64 (*.f64 #s(literal -1 binary64) y) (*.f64 #s(literal -1 binary64) z)) #s(literal 5 binary64))))) (*.f64 (pow.f64 y #s(literal 3 binary64)) (*.f64 (pow.f64 z #s(literal 3 binary64)) (sqrt.f64 #s(literal -1 binary64)))))) (+.f64 (*.f64 #s(literal 2 binary64) (*.f64 (sqrt.f64 (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) y) (*.f64 #s(literal -1 binary64) z)) x)) (sqrt.f64 #s(literal -1 binary64)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) y) (*.f64 #s(literal -1 binary64) z))))) (*.f64 y (*.f64 z (sqrt.f64 #s(literal -1 binary64))))))))))>
#<alt (sqrt.f64 (*.f64 x y))>
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#<alt (+.f64 (*.f64 x (+.f64 (*.f64 #s(literal -3/32 binary64) (*.f64 (pow.f64 (/.f64 (*.f64 #s(literal 1 binary64) z) (pow.f64 y #s(literal 7 binary64))) #s(literal 1/4 binary64)) x)) (*.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 (*.f64 #s(literal 1 binary64) z) (pow.f64 y #s(literal 3 binary64))) #s(literal 1/4 binary64))))) (pow.f64 (*.f64 #s(literal 1 binary64) (*.f64 y z)) #s(literal 1/4 binary64)))>
#<alt (+.f64 (*.f64 x (+.f64 (*.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 (*.f64 #s(literal 1 binary64) z) (pow.f64 y #s(literal 3 binary64))) #s(literal 1/4 binary64))) (*.f64 x (+.f64 (*.f64 #s(literal -3/32 binary64) (pow.f64 (/.f64 (*.f64 #s(literal 1 binary64) z) (pow.f64 y #s(literal 7 binary64))) #s(literal 1/4 binary64))) (*.f64 #s(literal 7/128 binary64) (*.f64 (pow.f64 (/.f64 (*.f64 #s(literal 1 binary64) z) (pow.f64 y #s(literal 11 binary64))) #s(literal 1/4 binary64)) x)))))) (pow.f64 (*.f64 #s(literal 1 binary64) (*.f64 y z)) #s(literal 1/4 binary64)))>
#<alt (exp.f64 (*.f64 #s(literal 1/4 binary64) (+.f64 (log.f64 z) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) x))))))>
#<alt (+.f64 (exp.f64 (*.f64 #s(literal 1/4 binary64) (+.f64 (log.f64 z) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) x)))))) (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 y (exp.f64 (*.f64 #s(literal 1/4 binary64) (+.f64 (log.f64 z) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) x))))))) x)))>
#<alt (+.f64 (exp.f64 (*.f64 #s(literal 1/4 binary64) (+.f64 (log.f64 z) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) x)))))) (+.f64 (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 y (exp.f64 (*.f64 #s(literal 1/4 binary64) (+.f64 (log.f64 z) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) x))))))) x)) (/.f64 (*.f64 (exp.f64 (*.f64 #s(literal 1/4 binary64) (+.f64 (log.f64 z) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) x)))))) (+.f64 (*.f64 #s(literal -1/8 binary64) (pow.f64 y #s(literal 2 binary64))) (*.f64 #s(literal 1/32 binary64) (pow.f64 y #s(literal 2 binary64))))) (pow.f64 x #s(literal 2 binary64)))))>
#<alt (+.f64 (exp.f64 (*.f64 #s(literal 1/4 binary64) (+.f64 (log.f64 z) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) x)))))) (+.f64 (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 y (exp.f64 (*.f64 #s(literal 1/4 binary64) (+.f64 (log.f64 z) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) x))))))) x)) (+.f64 (/.f64 (*.f64 (exp.f64 (*.f64 #s(literal 1/4 binary64) (+.f64 (log.f64 z) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) x)))))) (+.f64 (*.f64 #s(literal -1/8 binary64) (pow.f64 y #s(literal 2 binary64))) (*.f64 #s(literal 1/32 binary64) (pow.f64 y #s(literal 2 binary64))))) (pow.f64 x #s(literal 2 binary64))) (/.f64 (*.f64 (exp.f64 (*.f64 #s(literal 1/4 binary64) (+.f64 (log.f64 z) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) x)))))) (+.f64 (*.f64 #s(literal -1/32 binary64) (pow.f64 y #s(literal 3 binary64))) (+.f64 (*.f64 #s(literal 1/384 binary64) (pow.f64 y #s(literal 3 binary64))) (*.f64 #s(literal 1/12 binary64) (pow.f64 y #s(literal 3 binary64)))))) (pow.f64 x #s(literal 3 binary64))))))>
#<alt (exp.f64 (*.f64 #s(literal 1/4 binary64) (+.f64 (log.f64 (*.f64 #s(literal -1 binary64) z)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x))))))>
#<alt (+.f64 (exp.f64 (*.f64 #s(literal 1/4 binary64) (+.f64 (log.f64 (*.f64 #s(literal -1 binary64) z)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x)))))) (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 y (exp.f64 (*.f64 #s(literal 1/4 binary64) (+.f64 (log.f64 (*.f64 #s(literal -1 binary64) z)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x))))))) x)))>
#<alt (+.f64 (exp.f64 (*.f64 #s(literal 1/4 binary64) (+.f64 (log.f64 (*.f64 #s(literal -1 binary64) z)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x)))))) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 (exp.f64 (*.f64 #s(literal 1/4 binary64) (+.f64 (log.f64 (*.f64 #s(literal -1 binary64) z)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x)))))) (+.f64 (*.f64 #s(literal -1/8 binary64) (pow.f64 y #s(literal 2 binary64))) (*.f64 #s(literal 1/32 binary64) (pow.f64 y #s(literal 2 binary64))))) x)) (*.f64 #s(literal -1/4 binary64) (*.f64 y (exp.f64 (*.f64 #s(literal 1/4 binary64) (+.f64 (log.f64 (*.f64 #s(literal -1 binary64) z)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x))))))))) x)))>
#<alt (+.f64 (exp.f64 (*.f64 #s(literal 1/4 binary64) (+.f64 (log.f64 (*.f64 #s(literal -1 binary64) z)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x)))))) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 (exp.f64 (*.f64 #s(literal 1/4 binary64) (+.f64 (log.f64 (*.f64 #s(literal -1 binary64) z)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x)))))) (+.f64 (*.f64 #s(literal -1/12 binary64) (pow.f64 y #s(literal 3 binary64))) (+.f64 (*.f64 #s(literal -1/384 binary64) (pow.f64 y #s(literal 3 binary64))) (*.f64 #s(literal 1/32 binary64) (pow.f64 y #s(literal 3 binary64)))))) x)) (*.f64 (exp.f64 (*.f64 #s(literal 1/4 binary64) (+.f64 (log.f64 (*.f64 #s(literal -1 binary64) z)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x)))))) (+.f64 (*.f64 #s(literal -1/8 binary64) (pow.f64 y #s(literal 2 binary64))) (*.f64 #s(literal 1/32 binary64) (pow.f64 y #s(literal 2 binary64)))))) x)) (*.f64 #s(literal -1/4 binary64) (*.f64 y (exp.f64 (*.f64 #s(literal 1/4 binary64) (+.f64 (log.f64 (*.f64 #s(literal -1 binary64) z)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x))))))))) x)))>
#<alt (*.f64 x y)>
#<alt (+.f64 (*.f64 x y) (*.f64 z (+.f64 x y)))>
#<alt (+.f64 (*.f64 x y) (*.f64 z (+.f64 x y)))>
#<alt (+.f64 (*.f64 x y) (*.f64 z (+.f64 x y)))>
#<alt (*.f64 z (+.f64 x y))>
#<alt (*.f64 z (+.f64 x (+.f64 y (/.f64 (*.f64 x y) z))))>
#<alt (*.f64 z (+.f64 x (+.f64 y (/.f64 (*.f64 x y) z))))>
#<alt (*.f64 z (+.f64 x (+.f64 y (/.f64 (*.f64 x y) z))))>
#<alt (*.f64 z (+.f64 x y))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) (+.f64 x y)) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x y) z)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) (+.f64 x y)) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x y) z)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) (+.f64 x y)) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x y) z)))))>
#<alt (*.f64 x z)>
#<alt (+.f64 (*.f64 x z) (*.f64 y (+.f64 x z)))>
#<alt (+.f64 (*.f64 x z) (*.f64 y (+.f64 x z)))>
#<alt (+.f64 (*.f64 x z) (*.f64 y (+.f64 x z)))>
#<alt (*.f64 y (+.f64 x z))>
#<alt (*.f64 y (+.f64 x (+.f64 z (/.f64 (*.f64 x z) y))))>
#<alt (*.f64 y (+.f64 x (+.f64 z (/.f64 (*.f64 x z) y))))>
#<alt (*.f64 y (+.f64 x (+.f64 z (/.f64 (*.f64 x z) y))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1 binary64) z))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) x) (+.f64 (*.f64 #s(literal -1 binary64) z) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) y))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) x) (+.f64 (*.f64 #s(literal -1 binary64) z) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) y))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) x) (+.f64 (*.f64 #s(literal -1 binary64) z) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) y))))))>
#<alt (*.f64 y z)>
#<alt (+.f64 (*.f64 x (+.f64 y z)) (*.f64 y z))>
#<alt (+.f64 (*.f64 x (+.f64 y z)) (*.f64 y z))>
#<alt (+.f64 (*.f64 x (+.f64 y z)) (*.f64 y z))>
#<alt (*.f64 x (+.f64 y z))>
#<alt (*.f64 x (+.f64 y (+.f64 z (/.f64 (*.f64 y z) x))))>
#<alt (*.f64 x (+.f64 y (+.f64 z (/.f64 (*.f64 y z) x))))>
#<alt (*.f64 x (+.f64 y (+.f64 z (/.f64 (*.f64 y z) x))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) y) (*.f64 #s(literal -1 binary64) z))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) y) (+.f64 (*.f64 #s(literal -1 binary64) z) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 y z) x))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) y) (+.f64 (*.f64 #s(literal -1 binary64) z) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 y z) x))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) y) (+.f64 (*.f64 #s(literal -1 binary64) z) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 y z) x))))))>
#<alt (*.f64 y z)>
#<alt (+.f64 (*.f64 x (+.f64 y z)) (*.f64 y z))>
#<alt (+.f64 (*.f64 x (+.f64 y z)) (*.f64 y z))>
#<alt (+.f64 (*.f64 x (+.f64 y z)) (*.f64 y z))>
#<alt (*.f64 x (+.f64 y z))>
#<alt (*.f64 x (+.f64 y (+.f64 z (/.f64 (*.f64 y z) x))))>
#<alt (*.f64 x (+.f64 y (+.f64 z (/.f64 (*.f64 y z) x))))>
#<alt (*.f64 x (+.f64 y (+.f64 z (/.f64 (*.f64 y z) x))))>
#<alt (*.f64 x (+.f64 y z))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) (+.f64 y z)) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 y z) x)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) (+.f64 y z)) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 y z) x)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) (+.f64 y z)) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 y z) x)))))>
#<alt (*.f64 x z)>
#<alt (+.f64 (*.f64 x z) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 z x)))))>
#<alt (+.f64 (*.f64 x z) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 z x)))))>
#<alt (+.f64 (*.f64 x z) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 z x)))))>
#<alt (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 z x))))>
#<alt (*.f64 y (+.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 z x))) (/.f64 (*.f64 x z) y)))>
#<alt (*.f64 y (+.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 z x))) (/.f64 (*.f64 x z) y)))>
#<alt (*.f64 y (+.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 z x))) (/.f64 (*.f64 x z) y)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (*.f64 y (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 z x)) #s(literal 1 binary64)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) y)) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 z x)) #s(literal 1 binary64))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) y)) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 z x)) #s(literal 1 binary64))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) y)) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 z x)) #s(literal 1 binary64))))))>
#<alt (*.f64 x y)>
#<alt (+.f64 (*.f64 x y) (*.f64 x (*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 y x)))))>
#<alt (+.f64 (*.f64 x y) (*.f64 x (*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 y x)))))>
#<alt (+.f64 (*.f64 x y) (*.f64 x (*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 y x)))))>
#<alt (*.f64 x (*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 y x))))>
#<alt (*.f64 z (+.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 y x))) (/.f64 (*.f64 x y) z)))>
#<alt (*.f64 z (+.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 y x))) (/.f64 (*.f64 x y) z)))>
#<alt (*.f64 z (+.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 y x))) (/.f64 (*.f64 x y) z)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (*.f64 z (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 y x)) #s(literal 1 binary64)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x y) z)) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 y x)) #s(literal 1 binary64))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x y) z)) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 y x)) #s(literal 1 binary64))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x y) z)) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 y x)) #s(literal 1 binary64))))))>
Calls

156 calls:

TimeVariablePointExpression
42.0ms
z
@-inf
(pow (* z (+ y x)) 1/4)
29.0ms
z
@0
(pow (* z (+ y x)) 1/4)
14.0ms
y
@-inf
(* 2 (pow (cbrt (* y x)) 3/2))
7.0ms
z
@inf
(pow (* z (+ y x)) 1/4)
6.0ms
y
@0
(/ 1 (+ (* z (+ y x)) (* y x)))

rewrite159.0ms (1%)

Algorithm
batch-egg-rewrite
Rules
275×log1p-expm1-u
275×expm1-log1p-u
273×associate-*r*
270×add-cube-cbrt
267×add-exp-log
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
039649
1631599
Stop Event
node limit
Counts
20 → 449
Calls
Call 1
Inputs
(*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 z (+.f64 y x) (*.f64 y x))))))
(/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 z (+.f64 y x) (*.f64 y x)))))
(sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 z (+.f64 y x) (*.f64 y x))))
(/.f64 #s(literal 1 binary64) (fma.f64 z (+.f64 y x) (*.f64 y x)))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 z x)))
(sqrt.f64 (*.f64 z x))
(*.f64 z x)
(*.f64 z (/.f64 y x))
(/.f64 y x)
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 x (+.f64 y (+.f64 z (*.f64 z (/.f64 y x)))))))
(sqrt.f64 (*.f64 x (+.f64 y (+.f64 z (*.f64 z (/.f64 y x))))))
(*.f64 #s(literal 2 binary64) (pow.f64 (cbrt.f64 (*.f64 y x)) #s(literal 3/2 binary64)))
(pow.f64 (cbrt.f64 (*.f64 y x)) #s(literal 3/2 binary64))
(cbrt.f64 (*.f64 y x))
(*.f64 y x)
(*.f64 #s(literal 2 binary64) (pow.f64 (pow.f64 (*.f64 z (+.f64 y x)) #s(literal 1/4 binary64)) #s(literal 2 binary64)))
(pow.f64 (pow.f64 (*.f64 z (+.f64 y x)) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(pow.f64 (*.f64 z (+.f64 y x)) #s(literal 1/4 binary64))
(fma.f64 z (+.f64 y x) (*.f64 y x))
(*.f64 x (+.f64 y (+.f64 z (*.f64 z (/.f64 y x)))))
Outputs
(-.f64 (exp.f64 (log1p.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (fma.f64 z (+.f64 y x) (*.f64 y x)))))) #s(literal 1 binary64))
(/.f64 #s(literal 2 binary64) (pow.f64 (fma.f64 z (+.f64 y x) (*.f64 y x)) #s(literal -1/2 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (fma.f64 z (+.f64 y x) (*.f64 y x)) #s(literal -1/2 binary64)) #s(literal 2 binary64)))
(/.f64 #s(literal -2 binary64) (/.f64 #s(literal -1 binary64) (sqrt.f64 (fma.f64 z (+.f64 y x) (*.f64 y x)))))
(pow.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (fma.f64 z (+.f64 y x) (*.f64 y x)))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (fma.f64 z (+.f64 y x) (*.f64 y x))))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (fma.f64 z (+.f64 y x) (*.f64 y x)))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (fma.f64 z (+.f64 y x) (*.f64 y x))))) #s(literal 2 binary64))
(sqrt.f64 (*.f64 (fma.f64 z (+.f64 y x) (*.f64 y x)) #s(literal 4 binary64)))
(log.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (sqrt.f64 (fma.f64 z (+.f64 y x) (*.f64 y x)))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (fma.f64 z (+.f64 y x) (*.f64 y x)))))))
(cbrt.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (fma.f64 z (+.f64 y x) (*.f64 y x)))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (fma.f64 z (+.f64 y x) (*.f64 y x))))))
(log1p.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (fma.f64 z (+.f64 y x) (*.f64 y x))))))
(exp.f64 (log.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (fma.f64 z (+.f64 y x) (*.f64 y x))))))
(exp.f64 (*.f64 (log.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (fma.f64 z (+.f64 y x) (*.f64 y x))))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (fma.f64 z (+.f64 y x) (*.f64 y x))))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 z (+.f64 y x) (*.f64 y x))))
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(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (*.f64 z (+.f64 y x)) #s(literal 2 binary64))) #s(literal 1/4 binary64)) (pow.f64 (cbrt.f64 (*.f64 z (+.f64 y x))) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (*.f64 z (+.f64 y x))) #s(literal 1/4 binary64)) (pow.f64 (sqrt.f64 (*.f64 z (+.f64 y x))) #s(literal 1/4 binary64)))
(*.f64 (sqrt.f64 (cbrt.f64 (*.f64 z (+.f64 y x)))) (sqrt.f64 (cbrt.f64 (sqrt.f64 (*.f64 z (+.f64 y x))))))
(sqrt.f64 (sqrt.f64 (*.f64 z (+.f64 y x))))
(fabs.f64 (pow.f64 (*.f64 z (+.f64 y x)) #s(literal 1/4 binary64)))
(log.f64 (exp.f64 (pow.f64 (*.f64 z (+.f64 y x)) #s(literal 1/4 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (pow.f64 (*.f64 z (+.f64 y x)) #s(literal 1/4 binary64)))))
(cbrt.f64 (pow.f64 (*.f64 z (+.f64 y x)) #s(literal 3/4 binary64)))
(expm1.f64 (log1p.f64 (pow.f64 (*.f64 z (+.f64 y x)) #s(literal 1/4 binary64))))
(log1p.f64 (expm1.f64 (pow.f64 (*.f64 z (+.f64 y x)) #s(literal 1/4 binary64))))
(exp.f64 (*.f64 #s(literal 1/4 binary64) (log.f64 (*.f64 z (+.f64 y x)))))
(exp.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (log.f64 (*.f64 z (+.f64 y x)))) #s(literal 1 binary64)))
(+.f64 (*.f64 z (+.f64 y x)) (*.f64 y x))
(+.f64 (*.f64 z y) (+.f64 (*.f64 z x) (*.f64 y x)))
(+.f64 (*.f64 y z) (+.f64 (*.f64 z x) (*.f64 y x)))
(+.f64 (*.f64 (*.f64 z (+.f64 y x)) #s(literal 1 binary64)) (*.f64 (*.f64 y x) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 z (+.f64 y x) (*.f64 y x)))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (fma.f64 z (+.f64 y x) (*.f64 y x)))
(*.f64 (sqrt.f64 (fma.f64 z (+.f64 y x) (*.f64 y x))) (sqrt.f64 (fma.f64 z (+.f64 y x) (*.f64 y x))))
(*.f64 (cbrt.f64 (fma.f64 z (+.f64 y x) (*.f64 y x))) (pow.f64 (cbrt.f64 (fma.f64 z (+.f64 y x) (*.f64 y x))) #s(literal 2 binary64)))
(*.f64 (cbrt.f64 (fma.f64 z (+.f64 y x) (*.f64 y x))) (*.f64 (cbrt.f64 (sqrt.f64 (fma.f64 z (+.f64 y x) (*.f64 y x)))) (sqrt.f64 (fma.f64 z (+.f64 y x) (*.f64 y x)))))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 z (+.f64 y x) (*.f64 y x))) #s(literal 2 binary64)) (cbrt.f64 (fma.f64 z (+.f64 y x) (*.f64 y x))))
(*.f64 (sqrt.f64 (sqrt.f64 (fma.f64 z (+.f64 y x) (*.f64 y x)))) (*.f64 (sqrt.f64 (sqrt.f64 (fma.f64 z (+.f64 y x) (*.f64 y x)))) (sqrt.f64 (fma.f64 z (+.f64 y x) (*.f64 y x)))))
(*.f64 (fma.f64 z (+.f64 y x) (*.f64 y x)) #s(literal 1 binary64))
(*.f64 (*.f64 (sqrt.f64 (fma.f64 z (+.f64 y x) (*.f64 y x))) (sqrt.f64 (sqrt.f64 (fma.f64 z (+.f64 y x) (*.f64 y x))))) (sqrt.f64 (sqrt.f64 (fma.f64 z (+.f64 y x) (*.f64 y x)))))
(*.f64 (*.f64 (sqrt.f64 (fma.f64 z (+.f64 y x) (*.f64 y x))) #s(literal 1 binary64)) (sqrt.f64 (fma.f64 z (+.f64 y x) (*.f64 y x))))
(*.f64 (*.f64 (sqrt.f64 (fma.f64 z (+.f64 y x) (*.f64 y x))) (cbrt.f64 (fma.f64 z (+.f64 y x) (*.f64 y x)))) (cbrt.f64 (sqrt.f64 (fma.f64 z (+.f64 y x) (*.f64 y x)))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 z (+.f64 y x) (*.f64 y x))))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 (fma.f64 z (+.f64 y x) (*.f64 y x)))) (/.f64 #s(literal -1 binary64) (sqrt.f64 (fma.f64 z (+.f64 y x) (*.f64 y x))))))
(/.f64 (sqrt.f64 (fma.f64 z (+.f64 y x) (*.f64 y x))) (pow.f64 (fma.f64 z (+.f64 y x) (*.f64 y x)) #s(literal -1/2 binary64)))
(/.f64 #s(literal -1 binary64) (*.f64 (pow.f64 (fma.f64 z (+.f64 y x) (*.f64 y x)) #s(literal -1/2 binary64)) (/.f64 #s(literal -1 binary64) (sqrt.f64 (fma.f64 z (+.f64 y x) (*.f64 y x))))))
(/.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 (fma.f64 z (+.f64 y x) (*.f64 y x)))) (pow.f64 (fma.f64 z (+.f64 y x) (*.f64 y x)) #s(literal -1/2 binary64))))
(/.f64 (neg.f64 (fma.f64 z (+.f64 y x) (*.f64 y x))) #s(literal -1 binary64))
(/.f64 (fma.f64 z (+.f64 y x) (*.f64 y x)) #s(literal 1 binary64))
(/.f64 (+.f64 (pow.f64 (*.f64 z (+.f64 y x)) #s(literal 3 binary64)) (pow.f64 (*.f64 y x) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 z (+.f64 y x)) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (*.f64 (*.f64 z (+.f64 y x)) (*.f64 y x)))))
(/.f64 (-.f64 (pow.f64 (*.f64 z (+.f64 y x)) #s(literal 2 binary64)) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) (-.f64 (*.f64 z (+.f64 y x)) (*.f64 y x)))
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 z (+.f64 y x) (*.f64 y x))) #s(literal -1 binary64))
(pow.f64 (pow.f64 (fma.f64 z (+.f64 y x) (*.f64 y x)) #s(literal -1/2 binary64)) #s(literal -2 binary64))
(pow.f64 (sqrt.f64 (fma.f64 z (+.f64 y x) (*.f64 y x))) #s(literal 2 binary64))
(pow.f64 (cbrt.f64 (fma.f64 z (+.f64 y x) (*.f64 y x))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (fma.f64 z (+.f64 y x) (*.f64 y x)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (fma.f64 z (+.f64 y x) (*.f64 y x)) #s(literal 1 binary64))
(sqrt.f64 (pow.f64 (fma.f64 z (+.f64 y x) (*.f64 y x)) #s(literal 2 binary64)))
(log.f64 (exp.f64 (fma.f64 z (+.f64 y x) (*.f64 y x))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 z (+.f64 y x) (*.f64 y x)))))
(cbrt.f64 (pow.f64 (fma.f64 z (+.f64 y x) (*.f64 y x)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (fma.f64 z (+.f64 y x) (*.f64 y x))))
(log1p.f64 (expm1.f64 (fma.f64 z (+.f64 y x) (*.f64 y x))))
(exp.f64 (log.f64 (fma.f64 z (+.f64 y x) (*.f64 y x))))
(exp.f64 (*.f64 (log.f64 (fma.f64 z (+.f64 y x) (*.f64 y x))) #s(literal 1 binary64)))
(+.f64 (*.f64 y x) (*.f64 x (fma.f64 z (/.f64 y x) z)))
(+.f64 (*.f64 y x) (*.f64 (fma.f64 z (/.f64 y x) z) x))
(+.f64 (*.f64 x (fma.f64 z (/.f64 y x) z)) (*.f64 y x))
(+.f64 (*.f64 (fma.f64 z (/.f64 y x) z) x) (*.f64 y x))
(+.f64 (*.f64 (*.f64 y x) #s(literal 1 binary64)) (*.f64 (*.f64 x (fma.f64 z (/.f64 y x) z)) #s(literal 1 binary64)))
(+.f64 (*.f64 (*.f64 y x) #s(literal 1 binary64)) (*.f64 (*.f64 (fma.f64 z (/.f64 y x) z) x) #s(literal 1 binary64)))
(+.f64 (*.f64 x (+.f64 y z)) (*.f64 x (*.f64 z (/.f64 y x))))
(+.f64 (*.f64 (+.f64 y z) x) (*.f64 (*.f64 z (/.f64 y x)) x))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x (+.f64 y (fma.f64 z (/.f64 y x) z))))) #s(literal 1 binary64))
(/.f64 (+.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) (pow.f64 (*.f64 x (fma.f64 z (/.f64 y x) z)) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (-.f64 (*.f64 (*.f64 x (fma.f64 z (/.f64 y x) z)) (*.f64 x (fma.f64 z (/.f64 y x) z))) (*.f64 (*.f64 y x) (*.f64 x (fma.f64 z (/.f64 y x) z))))))
(/.f64 (+.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) (pow.f64 (*.f64 (fma.f64 z (/.f64 y x) z) x) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (-.f64 (*.f64 (*.f64 (fma.f64 z (/.f64 y x) z) x) (*.f64 (fma.f64 z (/.f64 y x) z) x)) (*.f64 (*.f64 y x) (*.f64 (fma.f64 z (/.f64 y x) z) x)))))
(/.f64 (-.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (*.f64 (*.f64 x (fma.f64 z (/.f64 y x) z)) (*.f64 x (fma.f64 z (/.f64 y x) z)))) (-.f64 (*.f64 y x) (*.f64 x (fma.f64 z (/.f64 y x) z))))
(/.f64 (-.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (*.f64 (*.f64 (fma.f64 z (/.f64 y x) z) x) (*.f64 (fma.f64 z (/.f64 y x) z) x))) (-.f64 (*.f64 y x) (*.f64 (fma.f64 z (/.f64 y x) z) x)))
(pow.f64 (*.f64 x (+.f64 y (fma.f64 z (/.f64 y x) z))) #s(literal 1 binary64))
(pow.f64 (sqrt.f64 (*.f64 x (+.f64 y (fma.f64 z (/.f64 y x) z)))) #s(literal 2 binary64))
(pow.f64 (cbrt.f64 (*.f64 x (+.f64 y (fma.f64 z (/.f64 y x) z)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 x (+.f64 y (fma.f64 z (/.f64 y x) z))) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (*.f64 x (+.f64 y (fma.f64 z (/.f64 y x) z))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(sqrt.f64 (pow.f64 (*.f64 x (+.f64 y (fma.f64 z (/.f64 y x) z))) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 x) (+.f64 y (fma.f64 z (/.f64 y x) z))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x (+.f64 y (fma.f64 z (/.f64 y x) z))))))
(cbrt.f64 (pow.f64 (*.f64 x (+.f64 y (fma.f64 z (/.f64 y x) z))) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (+.f64 y (fma.f64 z (/.f64 y x) z)) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (+.f64 y (fma.f64 z (/.f64 y x) z)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 x (+.f64 y (fma.f64 z (/.f64 y x) z)))))
(log1p.f64 (expm1.f64 (*.f64 x (+.f64 y (fma.f64 z (/.f64 y x) z)))))
(exp.f64 (log.f64 (*.f64 x (+.f64 y (fma.f64 z (/.f64 y x) z)))))
(exp.f64 (*.f64 (log.f64 (*.f64 x (+.f64 y (fma.f64 z (/.f64 y x) z)))) #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) (*.f64 y x) (*.f64 x (fma.f64 z (/.f64 y x) z)))
(fma.f64 #s(literal 1 binary64) (*.f64 y x) (*.f64 (fma.f64 z (/.f64 y x) z) x))
(fma.f64 y x (*.f64 x (fma.f64 z (/.f64 y x) z)))
(fma.f64 y x (*.f64 (fma.f64 z (/.f64 y x) z) x))
(fma.f64 x y (*.f64 x (fma.f64 z (/.f64 y x) z)))
(fma.f64 x y (*.f64 (fma.f64 z (/.f64 y x) z) x))
(fma.f64 (sqrt.f64 (*.f64 y x)) (sqrt.f64 (*.f64 y x)) (*.f64 x (fma.f64 z (/.f64 y x) z)))
(fma.f64 (sqrt.f64 (*.f64 y x)) (sqrt.f64 (*.f64 y x)) (*.f64 (fma.f64 z (/.f64 y x) z) x))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 y x)) #s(literal 2 binary64)) (cbrt.f64 (*.f64 y x)) (*.f64 x (fma.f64 z (/.f64 y x) z)))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 y x)) #s(literal 2 binary64)) (cbrt.f64 (*.f64 y x)) (*.f64 (fma.f64 z (/.f64 y x) z) x))

simplify798.0ms (4.8%)

Algorithm
egg-herbie
Rules
429×+-commutative
349×associate-*r*
325×times-frac
303×fma-define
228×distribute-rgt-in
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0253169126
1660667710
Stop Event
node limit
Counts
1049 → 1209
Calls
Call 1
Inputs
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 x y)))
(+.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 x y))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x y))) (*.f64 z (+.f64 x y))))
(+.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 x y))) (*.f64 z (+.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))) (*.f64 z (pow.f64 (+.f64 x y) #s(literal 2 binary64))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x y))) (+.f64 x y)))))
(+.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 x y))) (*.f64 z (+.f64 (*.f64 z (+.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))) (pow.f64 (+.f64 x y) #s(literal 2 binary64)))) (*.f64 #s(literal 1/8 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 5 binary64)) (pow.f64 y #s(literal 5 binary64))))) (*.f64 z (pow.f64 (+.f64 x y) #s(literal 3 binary64))))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x y))) (+.f64 x y)))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 z (+.f64 x y))))
(*.f64 z (+.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 (+.f64 x y) z))) (*.f64 (*.f64 x y) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 z #s(literal 3 binary64)) (+.f64 x y)))))))
(*.f64 z (+.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 z #s(literal 5 binary64)) (pow.f64 (+.f64 x y) #s(literal 3 binary64))))))) (+.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 (+.f64 x y) z))) (*.f64 (*.f64 x y) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 z #s(literal 3 binary64)) (+.f64 x y))))))))
(*.f64 z (+.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 z #s(literal 5 binary64)) (pow.f64 (+.f64 x y) #s(literal 3 binary64))))))) (+.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 z #s(literal 7 binary64)) (pow.f64 (+.f64 x y) #s(literal 5 binary64))))))) (+.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 (+.f64 x y) z))) (*.f64 (*.f64 x y) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 z #s(literal 3 binary64)) (+.f64 x y)))))))))
(*.f64 #s(literal -2 binary64) (*.f64 (sqrt.f64 (*.f64 z (+.f64 x y))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal 2 binary64) (*.f64 (sqrt.f64 (/.f64 (+.f64 x y) z)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))) (*.f64 (*.f64 x y) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 z #s(literal 3 binary64)) (+.f64 x y))))))))
(*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 (/.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 z #s(literal 5 binary64)) (pow.f64 (+.f64 x y) #s(literal 3 binary64))))))) (+.f64 (*.f64 #s(literal 2 binary64) (*.f64 (sqrt.f64 (/.f64 (+.f64 x y) z)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))) (*.f64 (*.f64 x y) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 z #s(literal 3 binary64)) (+.f64 x y)))))))))
(*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 (/.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 z #s(literal 5 binary64)) (pow.f64 (+.f64 x y) #s(literal 3 binary64))))))) (+.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 (/.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 z #s(literal 7 binary64)) (pow.f64 (+.f64 x y) #s(literal 5 binary64))))))) (+.f64 (*.f64 #s(literal 2 binary64) (*.f64 (sqrt.f64 (/.f64 (+.f64 x y) z)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))) (*.f64 (*.f64 x y) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 z #s(literal 3 binary64)) (+.f64 x y))))))))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 x z)))
(+.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 x z))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x z))) (*.f64 y (+.f64 x z))))
(+.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 x z))) (*.f64 y (+.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))))) (*.f64 y (pow.f64 (+.f64 x z) #s(literal 2 binary64))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x z))) (+.f64 x z)))))
(+.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 x z))) (*.f64 y (+.f64 (*.f64 y (+.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))))) (pow.f64 (+.f64 x z) #s(literal 2 binary64)))) (*.f64 #s(literal 1/8 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 5 binary64)) (pow.f64 z #s(literal 5 binary64))))) (*.f64 y (pow.f64 (+.f64 x z) #s(literal 3 binary64))))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x z))) (+.f64 x z)))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 y (+.f64 x z))))
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(-.f64 (exp.f64 (log1p.f64 (fma.f64 z (+.f64 y x) (*.f64 y x)))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (fma.f64 z (+.f64 y x) (*.f64 y x)))
(*.f64 (sqrt.f64 (fma.f64 z (+.f64 y x) (*.f64 y x))) (sqrt.f64 (fma.f64 z (+.f64 y x) (*.f64 y x))))
(*.f64 (cbrt.f64 (fma.f64 z (+.f64 y x) (*.f64 y x))) (pow.f64 (cbrt.f64 (fma.f64 z (+.f64 y x) (*.f64 y x))) #s(literal 2 binary64)))
(*.f64 (cbrt.f64 (fma.f64 z (+.f64 y x) (*.f64 y x))) (*.f64 (cbrt.f64 (sqrt.f64 (fma.f64 z (+.f64 y x) (*.f64 y x)))) (sqrt.f64 (fma.f64 z (+.f64 y x) (*.f64 y x)))))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 z (+.f64 y x) (*.f64 y x))) #s(literal 2 binary64)) (cbrt.f64 (fma.f64 z (+.f64 y x) (*.f64 y x))))
(*.f64 (sqrt.f64 (sqrt.f64 (fma.f64 z (+.f64 y x) (*.f64 y x)))) (*.f64 (sqrt.f64 (sqrt.f64 (fma.f64 z (+.f64 y x) (*.f64 y x)))) (sqrt.f64 (fma.f64 z (+.f64 y x) (*.f64 y x)))))
(*.f64 (fma.f64 z (+.f64 y x) (*.f64 y x)) #s(literal 1 binary64))
(*.f64 (*.f64 (sqrt.f64 (fma.f64 z (+.f64 y x) (*.f64 y x))) (sqrt.f64 (sqrt.f64 (fma.f64 z (+.f64 y x) (*.f64 y x))))) (sqrt.f64 (sqrt.f64 (fma.f64 z (+.f64 y x) (*.f64 y x)))))
(*.f64 (*.f64 (sqrt.f64 (fma.f64 z (+.f64 y x) (*.f64 y x))) #s(literal 1 binary64)) (sqrt.f64 (fma.f64 z (+.f64 y x) (*.f64 y x))))
(*.f64 (*.f64 (sqrt.f64 (fma.f64 z (+.f64 y x) (*.f64 y x))) (cbrt.f64 (fma.f64 z (+.f64 y x) (*.f64 y x)))) (cbrt.f64 (sqrt.f64 (fma.f64 z (+.f64 y x) (*.f64 y x)))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 z (+.f64 y x) (*.f64 y x))))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 (fma.f64 z (+.f64 y x) (*.f64 y x)))) (/.f64 #s(literal -1 binary64) (sqrt.f64 (fma.f64 z (+.f64 y x) (*.f64 y x))))))
(/.f64 (sqrt.f64 (fma.f64 z (+.f64 y x) (*.f64 y x))) (pow.f64 (fma.f64 z (+.f64 y x) (*.f64 y x)) #s(literal -1/2 binary64)))
(/.f64 #s(literal -1 binary64) (*.f64 (pow.f64 (fma.f64 z (+.f64 y x) (*.f64 y x)) #s(literal -1/2 binary64)) (/.f64 #s(literal -1 binary64) (sqrt.f64 (fma.f64 z (+.f64 y x) (*.f64 y x))))))
(/.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 (fma.f64 z (+.f64 y x) (*.f64 y x)))) (pow.f64 (fma.f64 z (+.f64 y x) (*.f64 y x)) #s(literal -1/2 binary64))))
(/.f64 (neg.f64 (fma.f64 z (+.f64 y x) (*.f64 y x))) #s(literal -1 binary64))
(/.f64 (fma.f64 z (+.f64 y x) (*.f64 y x)) #s(literal 1 binary64))
(/.f64 (+.f64 (pow.f64 (*.f64 z (+.f64 y x)) #s(literal 3 binary64)) (pow.f64 (*.f64 y x) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 z (+.f64 y x)) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (*.f64 (*.f64 z (+.f64 y x)) (*.f64 y x)))))
(/.f64 (-.f64 (pow.f64 (*.f64 z (+.f64 y x)) #s(literal 2 binary64)) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) (-.f64 (*.f64 z (+.f64 y x)) (*.f64 y x)))
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 z (+.f64 y x) (*.f64 y x))) #s(literal -1 binary64))
(pow.f64 (pow.f64 (fma.f64 z (+.f64 y x) (*.f64 y x)) #s(literal -1/2 binary64)) #s(literal -2 binary64))
(pow.f64 (sqrt.f64 (fma.f64 z (+.f64 y x) (*.f64 y x))) #s(literal 2 binary64))
(pow.f64 (cbrt.f64 (fma.f64 z (+.f64 y x) (*.f64 y x))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (fma.f64 z (+.f64 y x) (*.f64 y x)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (fma.f64 z (+.f64 y x) (*.f64 y x)) #s(literal 1 binary64))
(sqrt.f64 (pow.f64 (fma.f64 z (+.f64 y x) (*.f64 y x)) #s(literal 2 binary64)))
(log.f64 (exp.f64 (fma.f64 z (+.f64 y x) (*.f64 y x))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 z (+.f64 y x) (*.f64 y x)))))
(cbrt.f64 (pow.f64 (fma.f64 z (+.f64 y x) (*.f64 y x)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (fma.f64 z (+.f64 y x) (*.f64 y x))))
(log1p.f64 (expm1.f64 (fma.f64 z (+.f64 y x) (*.f64 y x))))
(exp.f64 (log.f64 (fma.f64 z (+.f64 y x) (*.f64 y x))))
(exp.f64 (*.f64 (log.f64 (fma.f64 z (+.f64 y x) (*.f64 y x))) #s(literal 1 binary64)))
(+.f64 (*.f64 y x) (*.f64 x (fma.f64 z (/.f64 y x) z)))
(+.f64 (*.f64 y x) (*.f64 (fma.f64 z (/.f64 y x) z) x))
(+.f64 (*.f64 x (fma.f64 z (/.f64 y x) z)) (*.f64 y x))
(+.f64 (*.f64 (fma.f64 z (/.f64 y x) z) x) (*.f64 y x))
(+.f64 (*.f64 (*.f64 y x) #s(literal 1 binary64)) (*.f64 (*.f64 x (fma.f64 z (/.f64 y x) z)) #s(literal 1 binary64)))
(+.f64 (*.f64 (*.f64 y x) #s(literal 1 binary64)) (*.f64 (*.f64 (fma.f64 z (/.f64 y x) z) x) #s(literal 1 binary64)))
(+.f64 (*.f64 x (+.f64 y z)) (*.f64 x (*.f64 z (/.f64 y x))))
(+.f64 (*.f64 (+.f64 y z) x) (*.f64 (*.f64 z (/.f64 y x)) x))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x (+.f64 y (fma.f64 z (/.f64 y x) z))))) #s(literal 1 binary64))
(/.f64 (+.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) (pow.f64 (*.f64 x (fma.f64 z (/.f64 y x) z)) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (-.f64 (*.f64 (*.f64 x (fma.f64 z (/.f64 y x) z)) (*.f64 x (fma.f64 z (/.f64 y x) z))) (*.f64 (*.f64 y x) (*.f64 x (fma.f64 z (/.f64 y x) z))))))
(/.f64 (+.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) (pow.f64 (*.f64 (fma.f64 z (/.f64 y x) z) x) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (-.f64 (*.f64 (*.f64 (fma.f64 z (/.f64 y x) z) x) (*.f64 (fma.f64 z (/.f64 y x) z) x)) (*.f64 (*.f64 y x) (*.f64 (fma.f64 z (/.f64 y x) z) x)))))
(/.f64 (-.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (*.f64 (*.f64 x (fma.f64 z (/.f64 y x) z)) (*.f64 x (fma.f64 z (/.f64 y x) z)))) (-.f64 (*.f64 y x) (*.f64 x (fma.f64 z (/.f64 y x) z))))
(/.f64 (-.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (*.f64 (*.f64 (fma.f64 z (/.f64 y x) z) x) (*.f64 (fma.f64 z (/.f64 y x) z) x))) (-.f64 (*.f64 y x) (*.f64 (fma.f64 z (/.f64 y x) z) x)))
(pow.f64 (*.f64 x (+.f64 y (fma.f64 z (/.f64 y x) z))) #s(literal 1 binary64))
(pow.f64 (sqrt.f64 (*.f64 x (+.f64 y (fma.f64 z (/.f64 y x) z)))) #s(literal 2 binary64))
(pow.f64 (cbrt.f64 (*.f64 x (+.f64 y (fma.f64 z (/.f64 y x) z)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 x (+.f64 y (fma.f64 z (/.f64 y x) z))) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (*.f64 x (+.f64 y (fma.f64 z (/.f64 y x) z))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(sqrt.f64 (pow.f64 (*.f64 x (+.f64 y (fma.f64 z (/.f64 y x) z))) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 x) (+.f64 y (fma.f64 z (/.f64 y x) z))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x (+.f64 y (fma.f64 z (/.f64 y x) z))))))
(cbrt.f64 (pow.f64 (*.f64 x (+.f64 y (fma.f64 z (/.f64 y x) z))) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (+.f64 y (fma.f64 z (/.f64 y x) z)) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (+.f64 y (fma.f64 z (/.f64 y x) z)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 x (+.f64 y (fma.f64 z (/.f64 y x) z)))))
(log1p.f64 (expm1.f64 (*.f64 x (+.f64 y (fma.f64 z (/.f64 y x) z)))))
(exp.f64 (log.f64 (*.f64 x (+.f64 y (fma.f64 z (/.f64 y x) z)))))
(exp.f64 (*.f64 (log.f64 (*.f64 x (+.f64 y (fma.f64 z (/.f64 y x) z)))) #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) (*.f64 y x) (*.f64 x (fma.f64 z (/.f64 y x) z)))
(fma.f64 #s(literal 1 binary64) (*.f64 y x) (*.f64 (fma.f64 z (/.f64 y x) z) x))
(fma.f64 y x (*.f64 x (fma.f64 z (/.f64 y x) z)))
(fma.f64 y x (*.f64 (fma.f64 z (/.f64 y x) z) x))
(fma.f64 x y (*.f64 x (fma.f64 z (/.f64 y x) z)))
(fma.f64 x y (*.f64 (fma.f64 z (/.f64 y x) z) x))
(fma.f64 (sqrt.f64 (*.f64 y x)) (sqrt.f64 (*.f64 y x)) (*.f64 x (fma.f64 z (/.f64 y x) z)))
(fma.f64 (sqrt.f64 (*.f64 y x)) (sqrt.f64 (*.f64 y x)) (*.f64 (fma.f64 z (/.f64 y x) z) x))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 y x)) #s(literal 2 binary64)) (cbrt.f64 (*.f64 y x)) (*.f64 x (fma.f64 z (/.f64 y x) z)))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 y x)) #s(literal 2 binary64)) (cbrt.f64 (*.f64 y x)) (*.f64 (fma.f64 z (/.f64 y x) z) x))
Outputs
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 x y)))
(+.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 x y))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x y))) (*.f64 z (+.f64 x y))))
(fma.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 x y)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x y))) (*.f64 z (+.f64 x y))))
(+.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 x y))) (*.f64 z (+.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))) (*.f64 z (pow.f64 (+.f64 x y) #s(literal 2 binary64))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x y))) (+.f64 x y)))))
(fma.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 x y)) (*.f64 z (fma.f64 #s(literal -1/4 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))) (*.f64 z (pow.f64 (+.f64 x y) #s(literal 2 binary64)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x y))) (+.f64 x y)))))
(+.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 x y))) (*.f64 z (+.f64 (*.f64 z (+.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))) (pow.f64 (+.f64 x y) #s(literal 2 binary64)))) (*.f64 #s(literal 1/8 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 5 binary64)) (pow.f64 y #s(literal 5 binary64))))) (*.f64 z (pow.f64 (+.f64 x y) #s(literal 3 binary64))))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x y))) (+.f64 x y)))))
(fma.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 x y)) (*.f64 z (fma.f64 z (fma.f64 #s(literal -1/4 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))) (pow.f64 (+.f64 x y) #s(literal 2 binary64))) (*.f64 (*.f64 #s(literal 1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 5 binary64)) (pow.f64 y #s(literal 5 binary64)))))) (*.f64 z (pow.f64 (+.f64 x y) #s(literal 3 binary64))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x y))) (+.f64 x y)))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 z (+.f64 x y))))
(*.f64 z (+.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 (+.f64 x y) z))) (*.f64 (*.f64 x y) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 z #s(literal 3 binary64)) (+.f64 x y)))))))
(*.f64 z (fma.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 (+.f64 x y) z)) (*.f64 (*.f64 x y) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 z #s(literal 3 binary64)) (+.f64 x y)))))))
(*.f64 z (+.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 z #s(literal 5 binary64)) (pow.f64 (+.f64 x y) #s(literal 3 binary64))))))) (+.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 (+.f64 x y) z))) (*.f64 (*.f64 x y) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 z #s(literal 3 binary64)) (+.f64 x y))))))))
(*.f64 z (fma.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 z #s(literal 5 binary64)) (pow.f64 (+.f64 x y) #s(literal 3 binary64)))))) (fma.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 (+.f64 x y) z)) (*.f64 (*.f64 x y) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 z #s(literal 3 binary64)) (+.f64 x y))))))))
(*.f64 z (+.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 z #s(literal 5 binary64)) (pow.f64 (+.f64 x y) #s(literal 3 binary64))))))) (+.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 z #s(literal 7 binary64)) (pow.f64 (+.f64 x y) #s(literal 5 binary64))))))) (+.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 (+.f64 x y) z))) (*.f64 (*.f64 x y) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 z #s(literal 3 binary64)) (+.f64 x y)))))))))
(*.f64 z (fma.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 z #s(literal 5 binary64)) (pow.f64 (+.f64 x y) #s(literal 3 binary64)))))) (fma.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 z #s(literal 7 binary64)) (pow.f64 (+.f64 x y) #s(literal 5 binary64)))))) (fma.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 (+.f64 x y) z)) (*.f64 (*.f64 x y) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 z #s(literal 3 binary64)) (+.f64 x y)))))))))
(*.f64 #s(literal -2 binary64) (*.f64 (sqrt.f64 (*.f64 z (+.f64 x y))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))
(*.f64 #s(literal -2 binary64) (*.f64 (sqrt.f64 (*.f64 z (+.f64 x y))) #s(literal -1 binary64)))
(*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal 2 binary64) (*.f64 (sqrt.f64 (/.f64 (+.f64 x y) z)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))) (*.f64 (*.f64 x y) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 z #s(literal 3 binary64)) (+.f64 x y))))))))
(*.f64 (neg.f64 z) (fma.f64 #s(literal 2 binary64) (*.f64 (sqrt.f64 (/.f64 (+.f64 x y) z)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (*.f64 (*.f64 x y) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 z #s(literal 3 binary64)) (+.f64 x y)))))))
(*.f64 (neg.f64 z) (fma.f64 #s(literal 2 binary64) (*.f64 (sqrt.f64 (/.f64 (+.f64 x y) z)) #s(literal -1 binary64)) (*.f64 (*.f64 x y) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 z #s(literal 3 binary64)) (+.f64 x y)))))))
(*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 (/.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 z #s(literal 5 binary64)) (pow.f64 (+.f64 x y) #s(literal 3 binary64))))))) (+.f64 (*.f64 #s(literal 2 binary64) (*.f64 (sqrt.f64 (/.f64 (+.f64 x y) z)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))) (*.f64 (*.f64 x y) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 z #s(literal 3 binary64)) (+.f64 x y)))))))))
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(fma.f64 (pow.f64 (cbrt.f64 (*.f64 y x)) #s(literal 2 binary64)) (cbrt.f64 (*.f64 y x)) (*.f64 x (fma.f64 z (/.f64 y x) z)))
(fma.f64 x (fma.f64 z (/.f64 y x) z) (*.f64 y x))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 y x)) #s(literal 2 binary64)) (cbrt.f64 (*.f64 y x)) (*.f64 (fma.f64 z (/.f64 y x) z) x))
(*.f64 x (+.f64 y (fma.f64 z (/.f64 y x) z)))

eval203.0ms (1.2%)

Compiler

Compiled 38671 to 6586 computations (83% saved)

prune279.0ms (1.7%)

Pruning

25 alts after pruning (22 fresh and 3 done)

PrunedKeptTotal
New1276121288
Fresh81018
Picked325
Done011
Total1287251312
Accuracy
99.7%
Counts
1312 → 25
Alt Table
Click to see full alt table
StatusAccuracyProgram
39.5%
(*.f64 z (+.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 (+.f64 x y) z))) (*.f64 (*.f64 x y) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 z #s(literal 3 binary64)) (+.f64 x y)))))))
34.4%
(*.f64 y (+.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 z y))) (*.f64 x (sqrt.f64 (/.f64 z (pow.f64 y #s(literal 3 binary64)))))))
32.6%
(*.f64 #s(literal 2 binary64) (pow.f64 (pow.f64 (*.f64 y x) #s(literal 1/4 binary64)) #s(literal 2 binary64)))
52.5%
(*.f64 #s(literal 2 binary64) (pow.f64 (*.f64 (pow.f64 (+.f64 y x) #s(literal 1/4 binary64)) (pow.f64 z #s(literal 1/4 binary64))) #s(literal 2 binary64)))
46.2%
(*.f64 #s(literal 2 binary64) (pow.f64 (*.f64 (cbrt.f64 y) (cbrt.f64 x)) #s(literal 3/2 binary64)))
32.5%
(*.f64 #s(literal 2 binary64) (pow.f64 (cbrt.f64 (*.f64 y x)) #s(literal 3/2 binary64)))
37.7%
(*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) z) (+.f64 x y)))))
36.1%
(*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) z))))
35.2%
(*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) (-.f64 (neg.f64 z) y)))))
3.4%
(*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x z)))))
32.4%
(*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x y)))))
52.8%
(*.f64 #s(literal 2 binary64) (*.f64 (sqrt.f64 (+.f64 y x)) (sqrt.f64 z)))
2.0%
(*.f64 #s(literal 2 binary64) (*.f64 (sqrt.f64 z) (sqrt.f64 x)))
37.0%
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 z (fabs.f64 (+.f64 x y)))))
35.5%
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 z y)))
3.5%
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 z x)))
34.4%
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 x (+.f64 z y))))
48.4%
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 z x))))))
32.7%
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 x y)))
6.9%
(*.f64 #s(literal 2 binary64) (sqrt.f64 (fabs.f64 (*.f64 z x))))
33.7%
(*.f64 #s(literal 2 binary64) (sqrt.f64 (fabs.f64 (*.f64 x y))))
3.5%
(*.f64 #s(literal 2 binary64) (exp.f64 (*.f64 (log.f64 (*.f64 z x)) #s(literal 1/2 binary64))))
24.7%
(*.f64 #s(literal 2 binary64) (cbrt.f64 (pow.f64 (*.f64 y x) #s(literal 3/2 binary64))))
36.9%
(sqrt.f64 (*.f64 z (*.f64 (+.f64 x y) #s(literal 4 binary64))))
3.5%
(expm1.f64 (log1p.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 z x)))))
Compiler

Compiled 613 to 463 computations (24.5% saved)

simplify14.0ms (0.1%)

Algorithm
egg-herbie
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 y x)
cost-diff0
(pow.f64 (*.f64 y x) #s(literal 1/4 binary64))
cost-diff6528
(pow.f64 (pow.f64 (*.f64 y x) #s(literal 1/4 binary64)) #s(literal 2 binary64))
cost-diff6528
(*.f64 #s(literal 2 binary64) (pow.f64 (pow.f64 (*.f64 y x) #s(literal 1/4 binary64)) #s(literal 2 binary64)))
cost-diff0
(*.f64 z x)
cost-diff0
(fabs.f64 (*.f64 z x))
cost-diff0
(sqrt.f64 (fabs.f64 (*.f64 z x)))
cost-diff0
(*.f64 #s(literal 2 binary64) (sqrt.f64 (fabs.f64 (*.f64 z x))))
cost-diff0
(/.f64 (/.f64 #s(literal 1 binary64) y) z)
cost-diff0
(sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) z))
cost-diff0
(/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) z)))
cost-diff128
(*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) z))))
cost-diff0
(*.f64 z y)
cost-diff0
(sqrt.f64 (*.f64 z y))
cost-diff0
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 z y)))
cost-diff0
(+.f64 y x)
cost-diff0
(sqrt.f64 (+.f64 y x))
cost-diff0
(*.f64 (sqrt.f64 (+.f64 y x)) (sqrt.f64 z))
cost-diff0
(*.f64 #s(literal 2 binary64) (*.f64 (sqrt.f64 (+.f64 y x)) (sqrt.f64 z)))
Rules
14×*-commutative
associate-*r*
associate-*l*
1-exp
fabs-mul
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
034484
158472
276468
380468
Stop Event
saturated
Calls
Call 1
Inputs
(*.f64 #s(literal 2 binary64) (*.f64 (sqrt.f64 (+.f64 y x)) (sqrt.f64 z)))
#s(literal 2 binary64)
(*.f64 (sqrt.f64 (+.f64 y x)) (sqrt.f64 z))
(sqrt.f64 (+.f64 y x))
(+.f64 y x)
y
x
(sqrt.f64 z)
z
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 z y)))
#s(literal 2 binary64)
(sqrt.f64 (*.f64 z y))
(*.f64 z y)
z
y
(*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) z))))
#s(literal 2 binary64)
(/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) z)))
#s(literal 1 binary64)
(sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) z))
(/.f64 (/.f64 #s(literal 1 binary64) y) z)
(/.f64 #s(literal 1 binary64) y)
y
z
(*.f64 #s(literal 2 binary64) (sqrt.f64 (fabs.f64 (*.f64 z x))))
#s(literal 2 binary64)
(sqrt.f64 (fabs.f64 (*.f64 z x)))
(fabs.f64 (*.f64 z x))
(*.f64 z x)
z
x
(*.f64 #s(literal 2 binary64) (pow.f64 (pow.f64 (*.f64 y x) #s(literal 1/4 binary64)) #s(literal 2 binary64)))
#s(literal 2 binary64)
(pow.f64 (pow.f64 (*.f64 y x) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(pow.f64 (*.f64 y x) #s(literal 1/4 binary64))
(*.f64 y x)
y
x
#s(literal 1/4 binary64)
Outputs
(*.f64 #s(literal 2 binary64) (*.f64 (sqrt.f64 (+.f64 y x)) (sqrt.f64 z)))
#s(literal 2 binary64)
(*.f64 (sqrt.f64 (+.f64 y x)) (sqrt.f64 z))
(sqrt.f64 (+.f64 y x))
(+.f64 y x)
y
x
(sqrt.f64 z)
z
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 z y)))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 y z)))
#s(literal 2 binary64)
(sqrt.f64 (*.f64 z y))
(sqrt.f64 (*.f64 y z))
(*.f64 z y)
(*.f64 y z)
z
y
(*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) z))))
(/.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 y z))))
#s(literal 2 binary64)
(/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) z)))
(/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 y z))))
#s(literal 1 binary64)
(sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) z))
(sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 y z)))
(/.f64 (/.f64 #s(literal 1 binary64) y) z)
(/.f64 #s(literal 1 binary64) (*.f64 y z))
(/.f64 #s(literal 1 binary64) y)
y
z
(*.f64 #s(literal 2 binary64) (sqrt.f64 (fabs.f64 (*.f64 z x))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (fabs.f64 (*.f64 x z))))
#s(literal 2 binary64)
(sqrt.f64 (fabs.f64 (*.f64 z x)))
(sqrt.f64 (fabs.f64 (*.f64 x z)))
(fabs.f64 (*.f64 z x))
(fabs.f64 (*.f64 x z))
(*.f64 z x)
(*.f64 x z)
z
x
(*.f64 #s(literal 2 binary64) (pow.f64 (pow.f64 (*.f64 y x) #s(literal 1/4 binary64)) #s(literal 2 binary64)))
(*.f64 #s(literal 2 binary64) (pow.f64 (*.f64 y x) #s(literal 1/2 binary64)))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 y x)))
#s(literal 2 binary64)
(pow.f64 (pow.f64 (*.f64 y x) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(pow.f64 (*.f64 y x) #s(literal 1/2 binary64))
(sqrt.f64 (*.f64 y x))
(pow.f64 (*.f64 y x) #s(literal 1/4 binary64))
(*.f64 y x)
y
x
#s(literal 1/4 binary64)

localize258.0ms (1.6%)

Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(*.f64 y x)
accuracy100.0%
(*.f64 #s(literal 2 binary64) (pow.f64 (pow.f64 (*.f64 y x) #s(literal 1/4 binary64)) #s(literal 2 binary64)))
accuracy99.8%
(pow.f64 (pow.f64 (*.f64 y x) #s(literal 1/4 binary64)) #s(literal 2 binary64))
accuracy90.9%
(pow.f64 (*.f64 y x) #s(literal 1/4 binary64))
accuracy100.0%
(*.f64 z x)
accuracy100.0%
(*.f64 #s(literal 2 binary64) (sqrt.f64 (fabs.f64 (*.f64 z x))))
accuracy100.0%
(fabs.f64 (*.f64 z x))
accuracy96.1%
(sqrt.f64 (fabs.f64 (*.f64 z x)))
accuracy100.0%
(*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) z))))
accuracy99.9%
(/.f64 (/.f64 #s(literal 1 binary64) y) z)
accuracy99.9%
(/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) z)))
accuracy90.9%
(sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) z))
accuracy100.0%
(*.f64 z y)
accuracy100.0%
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 z y)))
accuracy90.2%
(sqrt.f64 (*.f64 z y))
accuracy100.0%
(*.f64 #s(literal 2 binary64) (*.f64 (sqrt.f64 (+.f64 y x)) (sqrt.f64 z)))
accuracy100.0%
(sqrt.f64 z)
accuracy100.0%
(sqrt.f64 (+.f64 y x))
accuracy99.8%
(*.f64 (sqrt.f64 (+.f64 y x)) (sqrt.f64 z))
Results
179.0ms184×0invalid
22.0ms72×0valid
Compiler

Compiled 135 to 28 computations (79.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 54.0ms
ival-pow: 21.0ms (38.5% of total)
ival-mult: 15.0ms (27.5% of total)
ival-sqrt: 9.0ms (16.5% of total)
ival-div: 5.0ms (9.2% of total)
ival-add: 2.0ms (3.7% of total)
ival-fabs: 1.0ms (1.8% of total)
const: 1.0ms (1.8% of total)
backward-pass: 0.0ms (0% of total)

series232.0ms (1.4%)

Counts
17 → 412
Calls
Call 1
Inputs
#<alt (*.f64 #s(literal 2 binary64) (*.f64 (sqrt.f64 (+.f64 y x)) (sqrt.f64 z)))>
#<alt (*.f64 (sqrt.f64 (+.f64 y x)) (sqrt.f64 z))>
#<alt (sqrt.f64 (+.f64 y x))>
#<alt (*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 z y)))>
#<alt (sqrt.f64 (*.f64 z y))>
#<alt (*.f64 z y)>
#<alt (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) z))))>
#<alt (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) z)))>
#<alt (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) z))>
#<alt (/.f64 (/.f64 #s(literal 1 binary64) y) z)>
#<alt (*.f64 #s(literal 2 binary64) (sqrt.f64 (fabs.f64 (*.f64 z x))))>
#<alt (sqrt.f64 (fabs.f64 (*.f64 z x)))>
#<alt (fabs.f64 (*.f64 z x))>
#<alt (*.f64 #s(literal 2 binary64) (pow.f64 (pow.f64 (*.f64 y x) #s(literal 1/4 binary64)) #s(literal 2 binary64)))>
#<alt (pow.f64 (pow.f64 (*.f64 y x) #s(literal 1/4 binary64)) #s(literal 2 binary64))>
#<alt (pow.f64 (*.f64 y x) #s(literal 1/4 binary64))>
#<alt (sqrt.f64 z)>
Outputs
#<alt (*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 x z)))>
#<alt (+.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 x z))) (*.f64 (sqrt.f64 (/.f64 z x)) y))>
#<alt (+.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 x z))) (*.f64 y (+.f64 (sqrt.f64 (/.f64 z x)) (*.f64 #s(literal -1/4 binary64) (*.f64 (sqrt.f64 (/.f64 z (pow.f64 x #s(literal 3 binary64)))) y)))))>
#<alt (+.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 x z))) (*.f64 y (+.f64 (sqrt.f64 (/.f64 z x)) (*.f64 y (+.f64 (*.f64 #s(literal -1/4 binary64) (sqrt.f64 (/.f64 z (pow.f64 x #s(literal 3 binary64))))) (*.f64 #s(literal 1/8 binary64) (*.f64 (sqrt.f64 (/.f64 z (pow.f64 x #s(literal 5 binary64)))) y)))))))>
#<alt (*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 y z)))>
#<alt (*.f64 y (+.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 z y))) (*.f64 x (sqrt.f64 (/.f64 z (pow.f64 y #s(literal 3 binary64)))))))>
#<alt (*.f64 y (+.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (/.f64 z (pow.f64 y #s(literal 5 binary64)))))) (+.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 z y))) (*.f64 x (sqrt.f64 (/.f64 z (pow.f64 y #s(literal 3 binary64))))))))>
#<alt (*.f64 y (+.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (/.f64 z (pow.f64 y #s(literal 5 binary64)))))) (+.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) (sqrt.f64 (/.f64 z (pow.f64 y #s(literal 7 binary64)))))) (+.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 z y))) (*.f64 x (sqrt.f64 (/.f64 z (pow.f64 y #s(literal 3 binary64)))))))))>
#<alt (*.f64 #s(literal -2 binary64) (*.f64 (sqrt.f64 (*.f64 y z)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal 2 binary64) (*.f64 (sqrt.f64 (/.f64 z y)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))) (*.f64 x (sqrt.f64 (/.f64 z (pow.f64 y #s(literal 3 binary64))))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (sqrt.f64 (/.f64 z (pow.f64 y #s(literal 5 binary64)))))) (+.f64 (*.f64 #s(literal 2 binary64) (*.f64 (sqrt.f64 (/.f64 z y)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))) (*.f64 x (sqrt.f64 (/.f64 z (pow.f64 y #s(literal 3 binary64)))))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (sqrt.f64 (/.f64 z (pow.f64 y #s(literal 5 binary64)))))) (+.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64))) (sqrt.f64 (/.f64 z (pow.f64 y #s(literal 7 binary64)))))) (+.f64 (*.f64 #s(literal 2 binary64) (*.f64 (sqrt.f64 (/.f64 z y)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))) (*.f64 x (sqrt.f64 (/.f64 z (pow.f64 y #s(literal 3 binary64))))))))))>
#<alt (*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 y z)))>
#<alt (+.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 y z))) (*.f64 x (sqrt.f64 (/.f64 z y))))>
#<alt (+.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 y z))) (*.f64 x (+.f64 (sqrt.f64 (/.f64 z y)) (*.f64 #s(literal -1/4 binary64) (*.f64 x (sqrt.f64 (/.f64 z (pow.f64 y #s(literal 3 binary64)))))))))>
#<alt (+.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 y z))) (*.f64 x (+.f64 (sqrt.f64 (/.f64 z y)) (*.f64 x (+.f64 (*.f64 #s(literal -1/4 binary64) (sqrt.f64 (/.f64 z (pow.f64 y #s(literal 3 binary64))))) (*.f64 #s(literal 1/8 binary64) (*.f64 x (sqrt.f64 (/.f64 z (pow.f64 y #s(literal 5 binary64)))))))))))>
#<alt (*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 x z)))>
#<alt (*.f64 x (+.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 z x))) (*.f64 (sqrt.f64 (/.f64 z (pow.f64 x #s(literal 3 binary64)))) y)))>
#<alt (*.f64 x (+.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 (sqrt.f64 (/.f64 z (pow.f64 x #s(literal 5 binary64)))) (pow.f64 y #s(literal 2 binary64)))) (+.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 z x))) (*.f64 (sqrt.f64 (/.f64 z (pow.f64 x #s(literal 3 binary64)))) y))))>
#<alt (*.f64 x (+.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 (sqrt.f64 (/.f64 z (pow.f64 x #s(literal 5 binary64)))) (pow.f64 y #s(literal 2 binary64)))) (+.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 (sqrt.f64 (/.f64 z (pow.f64 x #s(literal 7 binary64)))) (pow.f64 y #s(literal 3 binary64)))) (+.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 z x))) (*.f64 (sqrt.f64 (/.f64 z (pow.f64 x #s(literal 3 binary64)))) y)))))>
#<alt (*.f64 #s(literal -2 binary64) (*.f64 (sqrt.f64 (*.f64 x z)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal 2 binary64) (*.f64 (sqrt.f64 (/.f64 z x)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))) (*.f64 (sqrt.f64 (/.f64 z (pow.f64 x #s(literal 3 binary64)))) y))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 (sqrt.f64 (/.f64 z (pow.f64 x #s(literal 5 binary64)))) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))) (+.f64 (*.f64 #s(literal 2 binary64) (*.f64 (sqrt.f64 (/.f64 z x)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))) (*.f64 (sqrt.f64 (/.f64 z (pow.f64 x #s(literal 3 binary64)))) y)))))>
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#<alt (exp.f64 (*.f64 #s(literal 1/4 binary64) (+.f64 (log.f64 x) (log.f64 y))))>
#<alt (exp.f64 (*.f64 #s(literal 1/4 binary64) (+.f64 (log.f64 x) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) y))))))>
#<alt (exp.f64 (*.f64 #s(literal 1/4 binary64) (+.f64 (log.f64 x) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) y))))))>
#<alt (exp.f64 (*.f64 #s(literal 1/4 binary64) (+.f64 (log.f64 x) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) y))))))>
#<alt (exp.f64 (*.f64 #s(literal 1/4 binary64) (+.f64 (log.f64 x) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) y))))))>
#<alt (exp.f64 (*.f64 #s(literal 1/4 binary64) (+.f64 (log.f64 (*.f64 #s(literal -1 binary64) x)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) y))))))>
#<alt (exp.f64 (*.f64 #s(literal 1/4 binary64) (+.f64 (log.f64 (*.f64 #s(literal -1 binary64) x)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) y))))))>
#<alt (exp.f64 (*.f64 #s(literal 1/4 binary64) (+.f64 (log.f64 (*.f64 #s(literal -1 binary64) x)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) y))))))>
#<alt (exp.f64 (*.f64 #s(literal 1/4 binary64) (+.f64 (log.f64 (*.f64 #s(literal -1 binary64) x)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) y))))))>
#<alt (exp.f64 (*.f64 #s(literal 1/4 binary64) (+.f64 (log.f64 x) (log.f64 y))))>
#<alt (exp.f64 (*.f64 #s(literal 1/4 binary64) (+.f64 (log.f64 x) (log.f64 y))))>
#<alt (exp.f64 (*.f64 #s(literal 1/4 binary64) (+.f64 (log.f64 x) (log.f64 y))))>
#<alt (exp.f64 (*.f64 #s(literal 1/4 binary64) (+.f64 (log.f64 x) (log.f64 y))))>
#<alt (exp.f64 (*.f64 #s(literal 1/4 binary64) (+.f64 (log.f64 y) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) x))))))>
#<alt (exp.f64 (*.f64 #s(literal 1/4 binary64) (+.f64 (log.f64 y) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) x))))))>
#<alt (exp.f64 (*.f64 #s(literal 1/4 binary64) (+.f64 (log.f64 y) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) x))))))>
#<alt (exp.f64 (*.f64 #s(literal 1/4 binary64) (+.f64 (log.f64 y) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) x))))))>
#<alt (exp.f64 (*.f64 #s(literal 1/4 binary64) (+.f64 (log.f64 (*.f64 #s(literal -1 binary64) y)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x))))))>
#<alt (exp.f64 (*.f64 #s(literal 1/4 binary64) (+.f64 (log.f64 (*.f64 #s(literal -1 binary64) y)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x))))))>
#<alt (exp.f64 (*.f64 #s(literal 1/4 binary64) (+.f64 (log.f64 (*.f64 #s(literal -1 binary64) y)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x))))))>
#<alt (exp.f64 (*.f64 #s(literal 1/4 binary64) (+.f64 (log.f64 (*.f64 #s(literal -1 binary64) y)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x))))))>
#<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))))>
Calls

105 calls:

TimeVariablePointExpression
122.0ms
x
@-inf
(pow (* y x) 1/4)
16.0ms
y
@-inf
(pow (* y x) 1/4)
16.0ms
y
@0
(pow (* y x) 1/4)
16.0ms
x
@0
(pow (* y x) 1/4)
7.0ms
y
@inf
(pow (* y x) 1/4)

rewrite230.0ms (1.4%)

Algorithm
batch-egg-rewrite
Rules
766×prod-diff
230×log1p-expm1-u
230×expm1-log1p-u
227×pow1
227×associate-*r*
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
034346
1539330
26817330
Stop Event
node limit
Counts
17 → 439
Calls
Call 1
Inputs
(*.f64 #s(literal 2 binary64) (*.f64 (sqrt.f64 (+.f64 y x)) (sqrt.f64 z)))
(*.f64 (sqrt.f64 (+.f64 y x)) (sqrt.f64 z))
(sqrt.f64 (+.f64 y x))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 z y)))
(sqrt.f64 (*.f64 z y))
(*.f64 z y)
(*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) z))))
(/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) z)))
(sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) z))
(/.f64 (/.f64 #s(literal 1 binary64) y) z)
(*.f64 #s(literal 2 binary64) (sqrt.f64 (fabs.f64 (*.f64 z x))))
(sqrt.f64 (fabs.f64 (*.f64 z x)))
(fabs.f64 (*.f64 z x))
(*.f64 #s(literal 2 binary64) (pow.f64 (pow.f64 (*.f64 y x) #s(literal 1/4 binary64)) #s(literal 2 binary64)))
(pow.f64 (pow.f64 (*.f64 y x) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(pow.f64 (*.f64 y x) #s(literal 1/4 binary64))
(sqrt.f64 z)
Outputs
(-.f64 (exp.f64 (log1p.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 (+.f64 y x) z))))) #s(literal 1 binary64))
(pow.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 (+.f64 y x) z))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 (+.f64 y x) z)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 (+.f64 y x) z))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 (+.f64 y x) z)))) #s(literal 2 binary64))
(sqrt.f64 (*.f64 (*.f64 (+.f64 y x) z) #s(literal 4 binary64)))
(log.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (sqrt.f64 (*.f64 (+.f64 y x) z))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 (+.f64 y x) z))))))
(cbrt.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 (+.f64 y x) z))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 (+.f64 y x) z)))))
(log1p.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 (+.f64 y x) z)))))
(exp.f64 (log.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 (+.f64 y x) z)))))
(exp.f64 (*.f64 (log.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 (+.f64 y x) z)))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (*.f64 (+.f64 y x) z)))) #s(literal 1 binary64))
(pow.f64 (sqrt.f64 (*.f64 (+.f64 y x) z)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (sqrt.f64 (*.f64 (+.f64 y x) z))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (sqrt.f64 (*.f64 (+.f64 y x) z)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (sqrt.f64 (*.f64 (+.f64 y x) z))) #s(literal 2 binary64))
(pow.f64 (*.f64 (+.f64 y x) z) #s(literal 1/2 binary64))
(sqrt.f64 (*.f64 (+.f64 y x) z))
(log.f64 (exp.f64 (sqrt.f64 (*.f64 (+.f64 y x) z))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (sqrt.f64 (*.f64 (+.f64 y x) z)))))
(cbrt.f64 (pow.f64 (sqrt.f64 (*.f64 (+.f64 y x) z)) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 (+.f64 y x) #s(literal 3/2 binary64)) (pow.f64 z #s(literal 3/2 binary64))))
(cbrt.f64 (*.f64 (pow.f64 z #s(literal 3/2 binary64)) (pow.f64 (+.f64 y x) #s(literal 3/2 binary64))))
(expm1.f64 (log1p.f64 (sqrt.f64 (*.f64 (+.f64 y x) z))))
(log1p.f64 (expm1.f64 (sqrt.f64 (*.f64 (+.f64 y x) z))))
(exp.f64 (log.f64 (sqrt.f64 (*.f64 (+.f64 y x) z))))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 (+.f64 y x) z))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (+.f64 y x)))) #s(literal 1 binary64))
(*.f64 (sqrt.f64 (+.f64 y x)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 y x)))
(*.f64 (cbrt.f64 (sqrt.f64 (+.f64 y x))) (cbrt.f64 (+.f64 y x)))
(*.f64 (cbrt.f64 (+.f64 y x)) (cbrt.f64 (sqrt.f64 (+.f64 y x))))
(*.f64 (pow.f64 (+.f64 y x) #s(literal 1/4 binary64)) (pow.f64 (+.f64 y x) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/2 binary64)) (sqrt.f64 (+.f64 y x)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 y x)) #s(literal 2 binary64)) #s(literal 1/2 binary64)) (pow.f64 (cbrt.f64 (+.f64 y x)) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 y x)) #s(literal 2 binary64))) (sqrt.f64 (cbrt.f64 (+.f64 y x))))
(/.f64 (sqrt.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))) (sqrt.f64 (-.f64 y x)))
(/.f64 (sqrt.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (sqrt.f64 (fma.f64 y y (*.f64 x (-.f64 x y)))))
(pow.f64 (+.f64 y x) #s(literal 1/2 binary64))
(pow.f64 (sqrt.f64 (+.f64 y x)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (sqrt.f64 (+.f64 y x))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (+.f64 y x) #s(literal 3/2 binary64)) #s(literal 1/3 binary64))
(pow.f64 (pow.f64 (+.f64 y x) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(fabs.f64 (sqrt.f64 (+.f64 y x)))
(log.f64 (exp.f64 (sqrt.f64 (+.f64 y x))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (sqrt.f64 (+.f64 y x)))))
(cbrt.f64 (pow.f64 (+.f64 y x) #s(literal 3/2 binary64)))
(expm1.f64 (log1p.f64 (sqrt.f64 (+.f64 y x))))
(hypot.f64 (sqrt.f64 y) (sqrt.f64 x))
(hypot.f64 (sqrt.f64 x) (sqrt.f64 y))
(log1p.f64 (expm1.f64 (sqrt.f64 (+.f64 y x))))
(exp.f64 (log.f64 (sqrt.f64 (+.f64 y x))))
(exp.f64 (*.f64 (log.f64 (+.f64 y x)) #s(literal 1/2 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 y x))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 y z))))) #s(literal 1 binary64))
(/.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 y z))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 y z))) #s(literal 2 binary64)))
(/.f64 #s(literal -2 binary64) (/.f64 (neg.f64 (pow.f64 y #s(literal -1/2 binary64))) (sqrt.f64 z)))
(/.f64 (/.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (cbrt.f64 (*.f64 y z)))) (cbrt.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 y z)))))
(/.f64 (/.f64 #s(literal 2 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 y z)) #s(literal 1/4 binary64))) (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 y z)) #s(literal 1/4 binary64)))
(pow.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 y z))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 y z)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 y z))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 y z)))) #s(literal 2 binary64))
(sqrt.f64 (*.f64 (*.f64 y z) #s(literal 4 binary64)))
(log.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (sqrt.f64 (*.f64 y z))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 y z))))))
(cbrt.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 y z))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 y z)))))
(log1p.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 y z)))))
(exp.f64 (log.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 y z)))))
(exp.f64 (*.f64 (log.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 y z)))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (*.f64 y z)))) #s(literal 1 binary64))
(*.f64 (sqrt.f64 z) (sqrt.f64 y))
(*.f64 (sqrt.f64 (*.f64 y z)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 y z)))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (pow.f64 y #s(literal -1/2 binary64))) (sqrt.f64 z))))
(*.f64 (cbrt.f64 (sqrt.f64 (*.f64 y z))) (cbrt.f64 (*.f64 y z)))
(*.f64 (cbrt.f64 (*.f64 y z)) (cbrt.f64 (sqrt.f64 (*.f64 y z))))
(*.f64 (cbrt.f64 z) (*.f64 (cbrt.f64 (sqrt.f64 z)) (sqrt.f64 y)))
(*.f64 (sqrt.f64 y) (sqrt.f64 z))
(*.f64 (pow.f64 z #s(literal 1/4 binary64)) (*.f64 (pow.f64 z #s(literal 1/4 binary64)) (sqrt.f64 y)))
(*.f64 (pow.f64 (*.f64 y z) #s(literal 1/4 binary64)) (pow.f64 (*.f64 y z) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/2 binary64)) (sqrt.f64 (*.f64 y z)))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 (*.f64 y z))) #s(literal -1 binary64)) (pow.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 y z)))) #s(literal -1 binary64)))
(*.f64 (pow.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 y z)) #s(literal 1/4 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 y z)) #s(literal 1/4 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (*.f64 y z)) #s(literal 2 binary64)) #s(literal 1/2 binary64)) (pow.f64 (cbrt.f64 (*.f64 y z)) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 y z)) #s(literal 2 binary64))) (sqrt.f64 (cbrt.f64 (*.f64 y z))))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal -1/2 binary64))) (sqrt.f64 z))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 y z))))
(/.f64 #s(literal 1 binary64) (neg.f64 (/.f64 (neg.f64 (pow.f64 y #s(literal -1/2 binary64))) (sqrt.f64 z))))
(/.f64 #s(literal -1 binary64) (/.f64 (neg.f64 (pow.f64 y #s(literal -1/2 binary64))) (sqrt.f64 z)))
(/.f64 (pow.f64 (*.f64 y z) #s(literal 1/4 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 y z)) #s(literal 1/4 binary64)))
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (cbrt.f64 (*.f64 y z)))) (cbrt.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 y z)))))
(pow.f64 (*.f64 y z) #s(literal 1/2 binary64))
(pow.f64 (sqrt.f64 (*.f64 y z)) #s(literal 1 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 y z)) #s(literal -1/2 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 y z))) #s(literal -1 binary64))
(pow.f64 (cbrt.f64 (sqrt.f64 (*.f64 y z))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 y z) #s(literal 3/2 binary64)) #s(literal 1/3 binary64))
(pow.f64 (pow.f64 (*.f64 y z) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(neg.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 y z)))))
(fabs.f64 (sqrt.f64 (*.f64 y z)))
(log.f64 (exp.f64 (sqrt.f64 (*.f64 y z))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (sqrt.f64 (*.f64 y z)))))
(cbrt.f64 (pow.f64 (*.f64 y z) #s(literal 3/2 binary64)))
(expm1.f64 (log1p.f64 (sqrt.f64 (*.f64 y z))))
(log1p.f64 (expm1.f64 (sqrt.f64 (*.f64 y z))))
(exp.f64 (log.f64 (sqrt.f64 (*.f64 y z))))
(exp.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (neg.f64 (log.f64 (*.f64 y z)))) #s(literal -1 binary64)))
(exp.f64 (*.f64 (log.f64 (*.f64 y z)) #s(literal 1/2 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 y z))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 y z))) #s(literal 1 binary64))
(/.f64 z (/.f64 #s(literal 1 binary64) y))
(/.f64 (sqrt.f64 (*.f64 y z)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 y z))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 y z)))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (neg.f64 (pow.f64 y #s(literal -1/2 binary64))) (sqrt.f64 z)) (/.f64 (neg.f64 (pow.f64 y #s(literal -1/2 binary64))) (sqrt.f64 z))))
(/.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 y z))) (/.f64 (neg.f64 (pow.f64 y #s(literal -1/2 binary64))) (sqrt.f64 z))))
(/.f64 #s(literal -1 binary64) (*.f64 (/.f64 (neg.f64 (pow.f64 y #s(literal -1/2 binary64))) (sqrt.f64 z)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 y z)))))
(/.f64 (neg.f64 z) (/.f64 #s(literal -1 binary64) y))
(/.f64 (/.f64 z (pow.f64 y #s(literal -1/2 binary64))) (pow.f64 y #s(literal -1/2 binary64)))
(/.f64 (/.f64 z #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) y))
(/.f64 (*.f64 (sqrt.f64 (*.f64 y z)) #s(literal -1 binary64)) (/.f64 (neg.f64 (pow.f64 y #s(literal -1/2 binary64))) (sqrt.f64 z)))
(/.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 (*.f64 y z))) (/.f64 (neg.f64 (pow.f64 y #s(literal -1/2 binary64))) (sqrt.f64 z)))
(/.f64 (/.f64 z (cbrt.f64 (pow.f64 y #s(literal -2 binary64)))) (/.f64 #s(literal 1 binary64) (cbrt.f64 y)))
(pow.f64 (*.f64 y z) #s(literal 1 binary64))
(pow.f64 (sqrt.f64 (*.f64 y z)) #s(literal 2 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 y z)) #s(literal -1 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 y z))) #s(literal -2 binary64))
(pow.f64 (cbrt.f64 (*.f64 y z)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 y z) #s(literal 2 binary64)) #s(literal 1/2 binary64))
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(*.f64 (sqrt.f64 z) (*.f64 (sqrt.f64 z) x))
(*.f64 #s(literal 1 binary64) (*.f64 x z))
(*.f64 (*.f64 x z) #s(literal 1 binary64))
(*.f64 (sqrt.f64 (*.f64 x z)) (sqrt.f64 (*.f64 x z)))
(*.f64 (cbrt.f64 (*.f64 x z)) (pow.f64 (cbrt.f64 (*.f64 x z)) #s(literal 2 binary64)))
(*.f64 (cbrt.f64 (*.f64 x z)) (*.f64 (cbrt.f64 (sqrt.f64 (*.f64 x z))) (sqrt.f64 (*.f64 x z))))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 x z)) #s(literal 2 binary64)) (cbrt.f64 (*.f64 x z)))
(*.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (*.f64 (cbrt.f64 x) z))
(*.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) (*.f64 (cbrt.f64 z) x))
(*.f64 (pow.f64 (*.f64 x z) #s(literal 1/4 binary64)) (*.f64 (pow.f64 (*.f64 x z) #s(literal 1/4 binary64)) (sqrt.f64 (*.f64 x z))))
(*.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) z))
(*.f64 (*.f64 (sqrt.f64 (*.f64 x z)) (pow.f64 (*.f64 x z) #s(literal 1/4 binary64))) (pow.f64 (*.f64 x z) #s(literal 1/4 binary64)))
(*.f64 (fabs.f64 (pow.f64 (cbrt.f64 (*.f64 x z)) #s(literal 2 binary64))) (fabs.f64 (cbrt.f64 (*.f64 x z))))
(*.f64 (*.f64 x (sqrt.f64 z)) (sqrt.f64 z))
(*.f64 (*.f64 x (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))) (cbrt.f64 z))
(*.f64 (*.f64 z (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 x))
(*.f64 (*.f64 z (sqrt.f64 x)) (sqrt.f64 x))
(*.f64 (*.f64 (sqrt.f64 (*.f64 x z)) (cbrt.f64 (*.f64 x z))) (cbrt.f64 (sqrt.f64 (*.f64 x z))))
(pow.f64 (*.f64 x z) #s(literal 1 binary64))
(pow.f64 (sqrt.f64 (*.f64 x z)) #s(literal 2 binary64))
(pow.f64 (cbrt.f64 (*.f64 x z)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 x z) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (*.f64 x z) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(sqrt.f64 (pow.f64 (*.f64 x z) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 z) x))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x z))))
(cbrt.f64 (pow.f64 (*.f64 x z) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 x z)))
(log1p.f64 (expm1.f64 (*.f64 x z)))
(exp.f64 (log.f64 (*.f64 x z)))
(exp.f64 (*.f64 (log.f64 (*.f64 x z)) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 y x))))) #s(literal 1 binary64))
(pow.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 y x))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 y x)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 y x))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 y x)))) #s(literal 2 binary64))
(sqrt.f64 (*.f64 (*.f64 y x) #s(literal 4 binary64)))
(log.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (sqrt.f64 (*.f64 y x))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 y x))))))
(cbrt.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 y x))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 y x)))))
(log1p.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 y x)))))
(exp.f64 (log.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 y x)))))
(exp.f64 (*.f64 (log.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 y x)))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (*.f64 y x)))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 y x)))
(*.f64 (pow.f64 (*.f64 y x) #s(literal 1/4 binary64)) (pow.f64 (*.f64 y x) #s(literal 1/4 binary64)))
(*.f64 (sqrt.f64 (*.f64 y x)) #s(literal 1 binary64))
(*.f64 (pow.f64 y #s(literal 1/4 binary64)) (*.f64 (pow.f64 x #s(literal 1/4 binary64)) (pow.f64 (*.f64 y x) #s(literal 1/4 binary64))))
(*.f64 (cbrt.f64 (sqrt.f64 (*.f64 y x))) (cbrt.f64 (*.f64 y x)))
(*.f64 (cbrt.f64 (sqrt.f64 (*.f64 y x))) (*.f64 (cbrt.f64 (pow.f64 (*.f64 y x) #s(literal 1/4 binary64))) (pow.f64 (*.f64 y x) #s(literal 1/4 binary64))))
(*.f64 (cbrt.f64 (*.f64 y x)) (cbrt.f64 (sqrt.f64 (*.f64 y x))))
(*.f64 (sqrt.f64 y) (sqrt.f64 x))
(*.f64 (sqrt.f64 x) (sqrt.f64 y))
(*.f64 (pow.f64 (*.f64 y x) #s(literal 1/8 binary64)) (*.f64 (pow.f64 (*.f64 y x) #s(literal 1/8 binary64)) (pow.f64 (*.f64 y x) #s(literal 1/4 binary64))))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/2 binary64)) (sqrt.f64 (*.f64 y x)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (*.f64 y x)) #s(literal 2 binary64)) #s(literal 1/2 binary64)) (pow.f64 (cbrt.f64 (*.f64 y x)) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (pow.f64 y #s(literal 1/4 binary64)) #s(literal 2 binary64)) (pow.f64 (pow.f64 x #s(literal 1/4 binary64)) #s(literal 2 binary64)))
(*.f64 (*.f64 (pow.f64 y #s(literal 1/4 binary64)) (pow.f64 y #s(literal 1/4 binary64))) (*.f64 (pow.f64 x #s(literal 1/4 binary64)) (pow.f64 x #s(literal 1/4 binary64))))
(*.f64 (*.f64 (pow.f64 (*.f64 y x) #s(literal 1/4 binary64)) (pow.f64 (*.f64 y x) #s(literal 1/8 binary64))) (pow.f64 (*.f64 y x) #s(literal 1/8 binary64)))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 y x)) #s(literal 2 binary64))) (sqrt.f64 (cbrt.f64 (*.f64 y x))))
(*.f64 (*.f64 (pow.f64 (*.f64 y x) #s(literal 1/4 binary64)) (pow.f64 y #s(literal 1/4 binary64))) (pow.f64 x #s(literal 1/4 binary64)))
(*.f64 (*.f64 (pow.f64 (*.f64 y x) #s(literal 1/4 binary64)) (cbrt.f64 (sqrt.f64 (*.f64 y x)))) (cbrt.f64 (pow.f64 (*.f64 y x) #s(literal 1/4 binary64))))
(sqrt.f64 (*.f64 y x))
(fabs.f64 (sqrt.f64 (*.f64 y x)))
(log.f64 (exp.f64 (sqrt.f64 (*.f64 y x))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (sqrt.f64 (*.f64 y x)))))
(cbrt.f64 (pow.f64 (sqrt.f64 (*.f64 y x)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (sqrt.f64 (*.f64 y x))))
(log1p.f64 (expm1.f64 (sqrt.f64 (*.f64 y x))))
(exp.f64 (log.f64 (sqrt.f64 (*.f64 y x))))
(exp.f64 (*.f64 (log.f64 (*.f64 y x)) #s(literal 1/2 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 y x))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (*.f64 y x) #s(literal 1/4 binary64)))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 (*.f64 y x) #s(literal 1/4 binary64)) #s(literal 1 binary64))
(*.f64 (pow.f64 y #s(literal 1/4 binary64)) (pow.f64 x #s(literal 1/4 binary64)))
(*.f64 (pow.f64 x #s(literal 1/4 binary64)) (pow.f64 y #s(literal 1/4 binary64)))
(*.f64 (cbrt.f64 (sqrt.f64 (*.f64 y x))) (cbrt.f64 (pow.f64 (*.f64 y x) #s(literal 1/4 binary64))))
(*.f64 (cbrt.f64 (pow.f64 (*.f64 y x) #s(literal 1/4 binary64))) (cbrt.f64 (sqrt.f64 (*.f64 y x))))
(*.f64 (pow.f64 (*.f64 y x) #s(literal 1/8 binary64)) (pow.f64 (*.f64 y x) #s(literal 1/8 binary64)))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/4 binary64)) (pow.f64 (*.f64 y x) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (*.f64 y x)) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (pow.f64 (cbrt.f64 (*.f64 y x)) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (*.f64 y x)) #s(literal 1/4 binary64)) (pow.f64 (sqrt.f64 (*.f64 y x)) #s(literal 1/4 binary64)))
(*.f64 (sqrt.f64 (cbrt.f64 (*.f64 y x))) (sqrt.f64 (cbrt.f64 (sqrt.f64 (*.f64 y x)))))
(sqrt.f64 (sqrt.f64 (*.f64 y x)))
(fabs.f64 (pow.f64 (*.f64 y x) #s(literal 1/4 binary64)))
(log.f64 (exp.f64 (pow.f64 (*.f64 y x) #s(literal 1/4 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (pow.f64 (*.f64 y x) #s(literal 1/4 binary64)))))
(cbrt.f64 (pow.f64 (*.f64 y x) #s(literal 3/4 binary64)))
(expm1.f64 (log1p.f64 (pow.f64 (*.f64 y x) #s(literal 1/4 binary64))))
(log1p.f64 (expm1.f64 (pow.f64 (*.f64 y x) #s(literal 1/4 binary64))))
(exp.f64 (*.f64 #s(literal 1/4 binary64) (log.f64 (*.f64 y x))))
(exp.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (log.f64 (*.f64 y x))) #s(literal 1 binary64)))
(-.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)))

simplify386.0ms (2.3%)

Algorithm
egg-herbie
Rules
649×associate-*r*
600×fma-define
558×associate-*l*
314×*-commutative
284×distribute-lft-in
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0110825439
1255123690
Stop Event
node limit
Counts
851 → 685
Calls
Call 1
Inputs
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 x z)))
(+.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 x z))) (*.f64 (sqrt.f64 (/.f64 z x)) y))
(+.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 x z))) (*.f64 y (+.f64 (sqrt.f64 (/.f64 z x)) (*.f64 #s(literal -1/4 binary64) (*.f64 (sqrt.f64 (/.f64 z (pow.f64 x #s(literal 3 binary64)))) y)))))
(+.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 x z))) (*.f64 y (+.f64 (sqrt.f64 (/.f64 z x)) (*.f64 y (+.f64 (*.f64 #s(literal -1/4 binary64) (sqrt.f64 (/.f64 z (pow.f64 x #s(literal 3 binary64))))) (*.f64 #s(literal 1/8 binary64) (*.f64 (sqrt.f64 (/.f64 z (pow.f64 x #s(literal 5 binary64)))) y)))))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 y z)))
(*.f64 y (+.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 z y))) (*.f64 x (sqrt.f64 (/.f64 z (pow.f64 y #s(literal 3 binary64)))))))
(*.f64 y (+.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (/.f64 z (pow.f64 y #s(literal 5 binary64)))))) (+.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 z y))) (*.f64 x (sqrt.f64 (/.f64 z (pow.f64 y #s(literal 3 binary64))))))))
(*.f64 y (+.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (/.f64 z (pow.f64 y #s(literal 5 binary64)))))) (+.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) (sqrt.f64 (/.f64 z (pow.f64 y #s(literal 7 binary64)))))) (+.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 z y))) (*.f64 x (sqrt.f64 (/.f64 z (pow.f64 y #s(literal 3 binary64)))))))))
(*.f64 #s(literal -2 binary64) (*.f64 (sqrt.f64 (*.f64 y z)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal 2 binary64) (*.f64 (sqrt.f64 (/.f64 z y)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))) (*.f64 x (sqrt.f64 (/.f64 z (pow.f64 y #s(literal 3 binary64))))))))
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (sqrt.f64 (/.f64 z (pow.f64 y #s(literal 5 binary64)))))) (+.f64 (*.f64 #s(literal 2 binary64) (*.f64 (sqrt.f64 (/.f64 z y)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))) (*.f64 x (sqrt.f64 (/.f64 z (pow.f64 y #s(literal 3 binary64)))))))))
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (sqrt.f64 (/.f64 z (pow.f64 y #s(literal 5 binary64)))))) (+.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64))) (sqrt.f64 (/.f64 z (pow.f64 y #s(literal 7 binary64)))))) (+.f64 (*.f64 #s(literal 2 binary64) (*.f64 (sqrt.f64 (/.f64 z y)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))) (*.f64 x (sqrt.f64 (/.f64 z (pow.f64 y #s(literal 3 binary64))))))))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 y z)))
(+.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 y z))) (*.f64 x (sqrt.f64 (/.f64 z y))))
(+.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 y z))) (*.f64 x (+.f64 (sqrt.f64 (/.f64 z y)) (*.f64 #s(literal -1/4 binary64) (*.f64 x (sqrt.f64 (/.f64 z (pow.f64 y #s(literal 3 binary64)))))))))
(+.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 y z))) (*.f64 x (+.f64 (sqrt.f64 (/.f64 z y)) (*.f64 x (+.f64 (*.f64 #s(literal -1/4 binary64) (sqrt.f64 (/.f64 z (pow.f64 y #s(literal 3 binary64))))) (*.f64 #s(literal 1/8 binary64) (*.f64 x (sqrt.f64 (/.f64 z (pow.f64 y #s(literal 5 binary64)))))))))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 x z)))
(*.f64 x (+.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 z x))) (*.f64 (sqrt.f64 (/.f64 z (pow.f64 x #s(literal 3 binary64)))) y)))
(*.f64 x (+.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 (sqrt.f64 (/.f64 z (pow.f64 x #s(literal 5 binary64)))) (pow.f64 y #s(literal 2 binary64)))) (+.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 z x))) (*.f64 (sqrt.f64 (/.f64 z (pow.f64 x #s(literal 3 binary64)))) y))))
(*.f64 x (+.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 (sqrt.f64 (/.f64 z (pow.f64 x #s(literal 5 binary64)))) (pow.f64 y #s(literal 2 binary64)))) (+.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 (sqrt.f64 (/.f64 z (pow.f64 x #s(literal 7 binary64)))) (pow.f64 y #s(literal 3 binary64)))) (+.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 z x))) (*.f64 (sqrt.f64 (/.f64 z (pow.f64 x #s(literal 3 binary64)))) y)))))
(*.f64 #s(literal -2 binary64) (*.f64 (sqrt.f64 (*.f64 x z)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal 2 binary64) (*.f64 (sqrt.f64 (/.f64 z x)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))) (*.f64 (sqrt.f64 (/.f64 z (pow.f64 x #s(literal 3 binary64)))) y))))
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 (sqrt.f64 (/.f64 z (pow.f64 x #s(literal 5 binary64)))) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))) (+.f64 (*.f64 #s(literal 2 binary64) (*.f64 (sqrt.f64 (/.f64 z x)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))) (*.f64 (sqrt.f64 (/.f64 z (pow.f64 x #s(literal 3 binary64)))) y)))))
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 (sqrt.f64 (/.f64 z (pow.f64 x #s(literal 5 binary64)))) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))) (+.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 (sqrt.f64 (/.f64 z (pow.f64 x #s(literal 7 binary64)))) (/.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64))))) (+.f64 (*.f64 #s(literal 2 binary64) (*.f64 (sqrt.f64 (/.f64 z x)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))) (*.f64 (sqrt.f64 (/.f64 z (pow.f64 x #s(literal 3 binary64)))) y))))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 z (+.f64 x y))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 z (+.f64 x y))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 z (+.f64 x y))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 z (+.f64 x y))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 z (+.f64 x y))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 z (+.f64 x y))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 z (+.f64 x y))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 z (+.f64 x y))))
(*.f64 #s(literal -2 binary64) (*.f64 (sqrt.f64 (*.f64 z (+.f64 x y))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))
(*.f64 #s(literal -2 binary64) (*.f64 (sqrt.f64 (*.f64 z (+.f64 x y))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))
(*.f64 #s(literal -2 binary64) (*.f64 (sqrt.f64 (*.f64 z (+.f64 x y))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))
(*.f64 #s(literal -2 binary64) (*.f64 (sqrt.f64 (*.f64 z (+.f64 x y))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))
(sqrt.f64 (*.f64 x z))
(+.f64 (sqrt.f64 (*.f64 x z)) (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 z x)) y)))
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(*.f64 (cbrt.f64 (sqrt.f64 (*.f64 y x))) (cbrt.f64 (pow.f64 (*.f64 y x) #s(literal 1/4 binary64))))
(*.f64 (cbrt.f64 (pow.f64 (*.f64 y x) #s(literal 1/4 binary64))) (cbrt.f64 (sqrt.f64 (*.f64 y x))))
(*.f64 (pow.f64 (*.f64 y x) #s(literal 1/8 binary64)) (pow.f64 (*.f64 y x) #s(literal 1/8 binary64)))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/4 binary64)) (pow.f64 (*.f64 y x) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (*.f64 y x)) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (pow.f64 (cbrt.f64 (*.f64 y x)) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (*.f64 y x)) #s(literal 1/4 binary64)) (pow.f64 (sqrt.f64 (*.f64 y x)) #s(literal 1/4 binary64)))
(*.f64 (sqrt.f64 (cbrt.f64 (*.f64 y x))) (sqrt.f64 (cbrt.f64 (sqrt.f64 (*.f64 y x)))))
(sqrt.f64 (sqrt.f64 (*.f64 y x)))
(fabs.f64 (pow.f64 (*.f64 y x) #s(literal 1/4 binary64)))
(log.f64 (exp.f64 (pow.f64 (*.f64 y x) #s(literal 1/4 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (pow.f64 (*.f64 y x) #s(literal 1/4 binary64)))))
(cbrt.f64 (pow.f64 (*.f64 y x) #s(literal 3/4 binary64)))
(expm1.f64 (log1p.f64 (pow.f64 (*.f64 y x) #s(literal 1/4 binary64))))
(log1p.f64 (expm1.f64 (pow.f64 (*.f64 y x) #s(literal 1/4 binary64))))
(exp.f64 (*.f64 #s(literal 1/4 binary64) (log.f64 (*.f64 y x))))
(exp.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (log.f64 (*.f64 y x))) #s(literal 1 binary64)))
(-.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)))
Outputs
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 x z)))
(+.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 x z))) (*.f64 (sqrt.f64 (/.f64 z x)) y))
(fma.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 x z)) (*.f64 (sqrt.f64 (/.f64 z x)) y))
(+.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 x z))) (*.f64 y (+.f64 (sqrt.f64 (/.f64 z x)) (*.f64 #s(literal -1/4 binary64) (*.f64 (sqrt.f64 (/.f64 z (pow.f64 x #s(literal 3 binary64)))) y)))))
(fma.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 x z)) (*.f64 y (+.f64 (sqrt.f64 (/.f64 z x)) (*.f64 #s(literal -1/4 binary64) (*.f64 y (sqrt.f64 (/.f64 z (pow.f64 x #s(literal 3 binary64)))))))))
(fma.f64 y (fma.f64 #s(literal -1/4 binary64) (*.f64 y (sqrt.f64 (/.f64 z (pow.f64 x #s(literal 3 binary64))))) (sqrt.f64 (/.f64 z x))) (*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 x z))))
(+.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 x z))) (*.f64 y (+.f64 (sqrt.f64 (/.f64 z x)) (*.f64 y (+.f64 (*.f64 #s(literal -1/4 binary64) (sqrt.f64 (/.f64 z (pow.f64 x #s(literal 3 binary64))))) (*.f64 #s(literal 1/8 binary64) (*.f64 (sqrt.f64 (/.f64 z (pow.f64 x #s(literal 5 binary64)))) y)))))))
(fma.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 x z)) (*.f64 y (+.f64 (sqrt.f64 (/.f64 z x)) (*.f64 y (fma.f64 #s(literal -1/4 binary64) (sqrt.f64 (/.f64 z (pow.f64 x #s(literal 3 binary64)))) (*.f64 #s(literal 1/8 binary64) (*.f64 y (sqrt.f64 (/.f64 z (pow.f64 x #s(literal 5 binary64)))))))))))
(fma.f64 y (fma.f64 y (fma.f64 #s(literal -1/4 binary64) (sqrt.f64 (/.f64 z (pow.f64 x #s(literal 3 binary64)))) (*.f64 y (*.f64 (sqrt.f64 (/.f64 z (pow.f64 x #s(literal 5 binary64)))) #s(literal 1/8 binary64)))) (sqrt.f64 (/.f64 z x))) (*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 x z))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 y z)))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 z y)))
(*.f64 y (+.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 z y))) (*.f64 x (sqrt.f64 (/.f64 z (pow.f64 y #s(literal 3 binary64)))))))
(*.f64 y (fma.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 z y)) (*.f64 x (sqrt.f64 (/.f64 z (pow.f64 y #s(literal 3 binary64)))))))
(*.f64 y (+.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (/.f64 z (pow.f64 y #s(literal 5 binary64)))))) (+.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 z y))) (*.f64 x (sqrt.f64 (/.f64 z (pow.f64 y #s(literal 3 binary64))))))))
(*.f64 y (fma.f64 #s(literal -1/4 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (/.f64 z (pow.f64 y #s(literal 5 binary64))))) (fma.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 z y)) (*.f64 x (sqrt.f64 (/.f64 z (pow.f64 y #s(literal 3 binary64))))))))
(*.f64 y (+.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (/.f64 z (pow.f64 y #s(literal 5 binary64)))))) (+.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) (sqrt.f64 (/.f64 z (pow.f64 y #s(literal 7 binary64)))))) (+.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 z y))) (*.f64 x (sqrt.f64 (/.f64 z (pow.f64 y #s(literal 3 binary64)))))))))
(*.f64 y (fma.f64 #s(literal -1/4 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (/.f64 z (pow.f64 y #s(literal 5 binary64))))) (fma.f64 #s(literal 1/8 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) (sqrt.f64 (/.f64 z (pow.f64 y #s(literal 7 binary64))))) (fma.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 z y)) (*.f64 x (sqrt.f64 (/.f64 z (pow.f64 y #s(literal 3 binary64)))))))))
(*.f64 #s(literal -2 binary64) (*.f64 (sqrt.f64 (*.f64 y z)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 z y)))
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal 2 binary64) (*.f64 (sqrt.f64 (/.f64 z y)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))) (*.f64 x (sqrt.f64 (/.f64 z (pow.f64 y #s(literal 3 binary64))))))))
(*.f64 (neg.f64 y) (fma.f64 #s(literal 2 binary64) (*.f64 (sqrt.f64 (/.f64 z y)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (*.f64 x (sqrt.f64 (/.f64 z (pow.f64 y #s(literal 3 binary64)))))))
(*.f64 y (neg.f64 (fma.f64 x (sqrt.f64 (/.f64 z (pow.f64 y #s(literal 3 binary64)))) (*.f64 (sqrt.f64 (/.f64 z y)) #s(literal -2 binary64)))))
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (sqrt.f64 (/.f64 z (pow.f64 y #s(literal 5 binary64)))))) (+.f64 (*.f64 #s(literal 2 binary64) (*.f64 (sqrt.f64 (/.f64 z y)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))) (*.f64 x (sqrt.f64 (/.f64 z (pow.f64 y #s(literal 3 binary64)))))))))
(*.f64 (neg.f64 y) (fma.f64 #s(literal -1/4 binary64) (*.f64 (sqrt.f64 (/.f64 z (pow.f64 y #s(literal 5 binary64)))) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))) (fma.f64 #s(literal 2 binary64) (*.f64 (sqrt.f64 (/.f64 z y)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (*.f64 x (sqrt.f64 (/.f64 z (pow.f64 y #s(literal 3 binary64))))))))
(*.f64 (fma.f64 #s(literal -1/4 binary64) (*.f64 (sqrt.f64 (/.f64 z (pow.f64 y #s(literal 5 binary64)))) (/.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1 binary64))) (fma.f64 x (sqrt.f64 (/.f64 z (pow.f64 y #s(literal 3 binary64)))) (*.f64 (sqrt.f64 (/.f64 z y)) #s(literal -2 binary64)))) (neg.f64 y))
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (sqrt.f64 (/.f64 z (pow.f64 y #s(literal 5 binary64)))))) (+.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64))) (sqrt.f64 (/.f64 z (pow.f64 y #s(literal 7 binary64)))))) (+.f64 (*.f64 #s(literal 2 binary64) (*.f64 (sqrt.f64 (/.f64 z y)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))) (*.f64 x (sqrt.f64 (/.f64 z (pow.f64 y #s(literal 3 binary64))))))))))
(*.f64 (neg.f64 y) (fma.f64 #s(literal -1/4 binary64) (*.f64 (sqrt.f64 (/.f64 z (pow.f64 y #s(literal 5 binary64)))) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))) (fma.f64 #s(literal 1/8 binary64) (*.f64 (sqrt.f64 (/.f64 z (pow.f64 y #s(literal 7 binary64)))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64)))) (fma.f64 #s(literal 2 binary64) (*.f64 (sqrt.f64 (/.f64 z y)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (*.f64 x (sqrt.f64 (/.f64 z (pow.f64 y #s(literal 3 binary64)))))))))
(*.f64 (fma.f64 #s(literal -1/4 binary64) (*.f64 (sqrt.f64 (/.f64 z (pow.f64 y #s(literal 5 binary64)))) (/.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1 binary64))) (fma.f64 #s(literal 1/8 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) (/.f64 (sqrt.f64 (/.f64 z (pow.f64 y #s(literal 7 binary64)))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64)))) (fma.f64 x (sqrt.f64 (/.f64 z (pow.f64 y #s(literal 3 binary64)))) (*.f64 (sqrt.f64 (/.f64 z y)) #s(literal -2 binary64))))) (neg.f64 y))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 y z)))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 z y)))
(+.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 y z))) (*.f64 x (sqrt.f64 (/.f64 z y))))
(fma.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 z y)) (*.f64 x (sqrt.f64 (/.f64 z y))))
(+.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 y z))) (*.f64 x (+.f64 (sqrt.f64 (/.f64 z y)) (*.f64 #s(literal -1/4 binary64) (*.f64 x (sqrt.f64 (/.f64 z (pow.f64 y #s(literal 3 binary64)))))))))
(fma.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 z y)) (*.f64 x (+.f64 (sqrt.f64 (/.f64 z y)) (*.f64 #s(literal -1/4 binary64) (*.f64 x (sqrt.f64 (/.f64 z (pow.f64 y #s(literal 3 binary64)))))))))
(fma.f64 x (fma.f64 #s(literal -1/4 binary64) (*.f64 x (sqrt.f64 (/.f64 z (pow.f64 y #s(literal 3 binary64))))) (sqrt.f64 (/.f64 z y))) (*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 z y))))
(+.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 y z))) (*.f64 x (+.f64 (sqrt.f64 (/.f64 z y)) (*.f64 x (+.f64 (*.f64 #s(literal -1/4 binary64) (sqrt.f64 (/.f64 z (pow.f64 y #s(literal 3 binary64))))) (*.f64 #s(literal 1/8 binary64) (*.f64 x (sqrt.f64 (/.f64 z (pow.f64 y #s(literal 5 binary64)))))))))))
(fma.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 z y)) (*.f64 x (+.f64 (sqrt.f64 (/.f64 z y)) (*.f64 x (fma.f64 #s(literal -1/4 binary64) (sqrt.f64 (/.f64 z (pow.f64 y #s(literal 3 binary64)))) (*.f64 #s(literal 1/8 binary64) (*.f64 x (sqrt.f64 (/.f64 z (pow.f64 y #s(literal 5 binary64)))))))))))
(fma.f64 x (fma.f64 x (fma.f64 #s(literal 1/8 binary64) (*.f64 x (sqrt.f64 (/.f64 z (pow.f64 y #s(literal 5 binary64))))) (*.f64 #s(literal -1/4 binary64) (sqrt.f64 (/.f64 z (pow.f64 y #s(literal 3 binary64)))))) (sqrt.f64 (/.f64 z y))) (*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 z y))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 x z)))
(*.f64 x (+.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 z x))) (*.f64 (sqrt.f64 (/.f64 z (pow.f64 x #s(literal 3 binary64)))) y)))
(*.f64 x (fma.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 z x)) (*.f64 y (sqrt.f64 (/.f64 z (pow.f64 x #s(literal 3 binary64)))))))
(*.f64 x (+.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 (sqrt.f64 (/.f64 z (pow.f64 x #s(literal 5 binary64)))) (pow.f64 y #s(literal 2 binary64)))) (+.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 z x))) (*.f64 (sqrt.f64 (/.f64 z (pow.f64 x #s(literal 3 binary64)))) y))))
(*.f64 x (fma.f64 #s(literal -1/4 binary64) (*.f64 (sqrt.f64 (/.f64 z (pow.f64 x #s(literal 5 binary64)))) (pow.f64 y #s(literal 2 binary64))) (fma.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 z x)) (*.f64 y (sqrt.f64 (/.f64 z (pow.f64 x #s(literal 3 binary64))))))))
(*.f64 x (+.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 (sqrt.f64 (/.f64 z (pow.f64 x #s(literal 5 binary64)))) (pow.f64 y #s(literal 2 binary64)))) (+.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 (sqrt.f64 (/.f64 z (pow.f64 x #s(literal 7 binary64)))) (pow.f64 y #s(literal 3 binary64)))) (+.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 z x))) (*.f64 (sqrt.f64 (/.f64 z (pow.f64 x #s(literal 3 binary64)))) y)))))
(*.f64 x (fma.f64 #s(literal -1/4 binary64) (*.f64 (sqrt.f64 (/.f64 z (pow.f64 x #s(literal 5 binary64)))) (pow.f64 y #s(literal 2 binary64))) (fma.f64 #s(literal 1/8 binary64) (*.f64 (pow.f64 y #s(literal 3 binary64)) (sqrt.f64 (/.f64 z (pow.f64 x #s(literal 7 binary64))))) (fma.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 z x)) (*.f64 y (sqrt.f64 (/.f64 z (pow.f64 x #s(literal 3 binary64)))))))))
(*.f64 #s(literal -2 binary64) (*.f64 (sqrt.f64 (*.f64 x z)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 x z)))
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal 2 binary64) (*.f64 (sqrt.f64 (/.f64 z x)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))) (*.f64 (sqrt.f64 (/.f64 z (pow.f64 x #s(literal 3 binary64)))) y))))
(*.f64 (neg.f64 x) (fma.f64 #s(literal 2 binary64) (*.f64 (sqrt.f64 (/.f64 z x)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (*.f64 y (sqrt.f64 (/.f64 z (pow.f64 x #s(literal 3 binary64)))))))
(*.f64 (fma.f64 y (sqrt.f64 (/.f64 z (pow.f64 x #s(literal 3 binary64)))) (*.f64 (sqrt.f64 (/.f64 z x)) #s(literal -2 binary64))) (neg.f64 x))
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 (sqrt.f64 (/.f64 z (pow.f64 x #s(literal 5 binary64)))) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))) (+.f64 (*.f64 #s(literal 2 binary64) (*.f64 (sqrt.f64 (/.f64 z x)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))) (*.f64 (sqrt.f64 (/.f64 z (pow.f64 x #s(literal 3 binary64)))) y)))))
(*.f64 (neg.f64 x) (fma.f64 #s(literal -1/4 binary64) (*.f64 (sqrt.f64 (/.f64 z (pow.f64 x #s(literal 5 binary64)))) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))) (fma.f64 #s(literal 2 binary64) (*.f64 (sqrt.f64 (/.f64 z x)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (*.f64 y (sqrt.f64 (/.f64 z (pow.f64 x #s(literal 3 binary64))))))))
(*.f64 x (neg.f64 (fma.f64 #s(literal -1/4 binary64) (*.f64 (sqrt.f64 (/.f64 z (pow.f64 x #s(literal 5 binary64)))) (/.f64 (pow.f64 y #s(literal 2 binary64)) #s(literal -1 binary64))) (fma.f64 y (sqrt.f64 (/.f64 z (pow.f64 x #s(literal 3 binary64)))) (*.f64 (sqrt.f64 (/.f64 z x)) #s(literal -2 binary64))))))
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 (sqrt.f64 (/.f64 z (pow.f64 x #s(literal 5 binary64)))) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))) (+.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 (sqrt.f64 (/.f64 z (pow.f64 x #s(literal 7 binary64)))) (/.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64))))) (+.f64 (*.f64 #s(literal 2 binary64) (*.f64 (sqrt.f64 (/.f64 z x)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))) (*.f64 (sqrt.f64 (/.f64 z (pow.f64 x #s(literal 3 binary64)))) y))))))
(*.f64 (neg.f64 x) (fma.f64 #s(literal -1/4 binary64) (*.f64 (sqrt.f64 (/.f64 z (pow.f64 x #s(literal 5 binary64)))) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))) (fma.f64 #s(literal 1/8 binary64) (*.f64 (sqrt.f64 (/.f64 z (pow.f64 x #s(literal 7 binary64)))) (/.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64)))) (fma.f64 #s(literal 2 binary64) (*.f64 (sqrt.f64 (/.f64 z x)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (*.f64 y (sqrt.f64 (/.f64 z (pow.f64 x #s(literal 3 binary64)))))))))
(*.f64 (fma.f64 #s(literal -1/4 binary64) (*.f64 (sqrt.f64 (/.f64 z (pow.f64 x #s(literal 5 binary64)))) (/.f64 (pow.f64 y #s(literal 2 binary64)) #s(literal -1 binary64))) (fma.f64 #s(literal 1/8 binary64) (*.f64 (pow.f64 y #s(literal 3 binary64)) (/.f64 (sqrt.f64 (/.f64 z (pow.f64 x #s(literal 7 binary64)))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64)))) (fma.f64 y (sqrt.f64 (/.f64 z (pow.f64 x #s(literal 3 binary64)))) (*.f64 (sqrt.f64 (/.f64 z x)) #s(literal -2 binary64))))) (neg.f64 x))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 z (+.f64 x y))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 z (+.f64 x y))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 z (+.f64 x y))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 z (+.f64 x y))))
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(*.f64 (pow.f64 y #s(literal 1/4 binary64)) (pow.f64 x #s(literal 1/4 binary64)))
(*.f64 (pow.f64 x #s(literal 1/4 binary64)) (pow.f64 y #s(literal 1/4 binary64)))
(*.f64 (pow.f64 y #s(literal 1/4 binary64)) (pow.f64 x #s(literal 1/4 binary64)))
(*.f64 (cbrt.f64 (sqrt.f64 (*.f64 y x))) (cbrt.f64 (pow.f64 (*.f64 y x) #s(literal 1/4 binary64))))
(*.f64 (cbrt.f64 (sqrt.f64 (*.f64 x y))) (cbrt.f64 (pow.f64 (*.f64 x y) #s(literal 1/4 binary64))))
(*.f64 (cbrt.f64 (pow.f64 (*.f64 y x) #s(literal 1/4 binary64))) (cbrt.f64 (sqrt.f64 (*.f64 y x))))
(*.f64 (cbrt.f64 (sqrt.f64 (*.f64 x y))) (cbrt.f64 (pow.f64 (*.f64 x y) #s(literal 1/4 binary64))))
(*.f64 (pow.f64 (*.f64 y x) #s(literal 1/8 binary64)) (pow.f64 (*.f64 y x) #s(literal 1/8 binary64)))
(pow.f64 (*.f64 x y) #s(literal 1/4 binary64))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/4 binary64)) (pow.f64 (*.f64 y x) #s(literal 1/4 binary64)))
(pow.f64 (*.f64 x y) #s(literal 1/4 binary64))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (*.f64 y x)) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (pow.f64 (cbrt.f64 (*.f64 y x)) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (*.f64 x y)) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (pow.f64 (cbrt.f64 (*.f64 x y)) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (*.f64 y x)) #s(literal 1/4 binary64)) (pow.f64 (sqrt.f64 (*.f64 y x)) #s(literal 1/4 binary64)))
(pow.f64 (sqrt.f64 (*.f64 x y)) #s(literal 1/2 binary64))
(sqrt.f64 (sqrt.f64 (*.f64 x y)))
(*.f64 (sqrt.f64 (cbrt.f64 (*.f64 y x))) (sqrt.f64 (cbrt.f64 (sqrt.f64 (*.f64 y x)))))
(*.f64 (sqrt.f64 (cbrt.f64 (*.f64 x y))) (sqrt.f64 (cbrt.f64 (sqrt.f64 (*.f64 x y)))))
(sqrt.f64 (sqrt.f64 (*.f64 y x)))
(pow.f64 (sqrt.f64 (*.f64 x y)) #s(literal 1/2 binary64))
(sqrt.f64 (sqrt.f64 (*.f64 x y)))
(fabs.f64 (pow.f64 (*.f64 y x) #s(literal 1/4 binary64)))
(pow.f64 (*.f64 x y) #s(literal 1/4 binary64))
(log.f64 (exp.f64 (pow.f64 (*.f64 y x) #s(literal 1/4 binary64))))
(pow.f64 (*.f64 x y) #s(literal 1/4 binary64))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (pow.f64 (*.f64 y x) #s(literal 1/4 binary64)))))
(pow.f64 (*.f64 x y) #s(literal 1/4 binary64))
(cbrt.f64 (pow.f64 (*.f64 y x) #s(literal 3/4 binary64)))
(cbrt.f64 (pow.f64 (*.f64 x y) #s(literal 3/4 binary64)))
(expm1.f64 (log1p.f64 (pow.f64 (*.f64 y x) #s(literal 1/4 binary64))))
(expm1.f64 (log1p.f64 (pow.f64 (*.f64 x y) #s(literal 1/4 binary64))))
(log1p.f64 (expm1.f64 (pow.f64 (*.f64 y x) #s(literal 1/4 binary64))))
(pow.f64 (*.f64 x y) #s(literal 1/4 binary64))
(exp.f64 (*.f64 #s(literal 1/4 binary64) (log.f64 (*.f64 y x))))
(pow.f64 (*.f64 x y) #s(literal 1/4 binary64))
(exp.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (log.f64 (*.f64 y x))) #s(literal 1 binary64)))
(pow.f64 (*.f64 x y) #s(literal 1/4 binary64))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 z))) #s(literal 1 binary64))
(expm1.f64 (log1p.f64 (sqrt.f64 z)))
(*.f64 (sqrt.f64 z) #s(literal 1 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) (sqrt.f64 z))
(*.f64 (neg.f64 (sqrt.f64 z)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))
(sqrt.f64 z)
(*.f64 (cbrt.f64 (sqrt.f64 z)) (cbrt.f64 z))
(*.f64 (cbrt.f64 z) (cbrt.f64 (sqrt.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 (neg.f64 (sqrt.f64 z)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))
(sqrt.f64 z)
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/2 binary64)) (sqrt.f64 z))
(*.f64 (neg.f64 (sqrt.f64 z)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 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)))
(*.f64 (fabs.f64 (cbrt.f64 z)) (sqrt.f64 (cbrt.f64 z)))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))) (sqrt.f64 (cbrt.f64 z)))
(*.f64 (fabs.f64 (cbrt.f64 z)) (sqrt.f64 (cbrt.f64 z)))
(pow.f64 z #s(literal 1/2 binary64))
(*.f64 (neg.f64 (sqrt.f64 z)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))
(sqrt.f64 z)
(pow.f64 (sqrt.f64 z) #s(literal 1 binary64))
(*.f64 (neg.f64 (sqrt.f64 z)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))
(sqrt.f64 z)
(pow.f64 (cbrt.f64 (sqrt.f64 z)) #s(literal 3 binary64))
(*.f64 (neg.f64 (sqrt.f64 z)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))
(sqrt.f64 z)
(pow.f64 (pow.f64 z #s(literal 3/2 binary64)) #s(literal 1/3 binary64))
(cbrt.f64 (pow.f64 z #s(literal 3/2 binary64)))
(pow.f64 (pow.f64 z #s(literal 1/4 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)
(fabs.f64 (sqrt.f64 z))
(*.f64 (neg.f64 (sqrt.f64 z)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))
(sqrt.f64 z)
(log.f64 (exp.f64 (sqrt.f64 z)))
(*.f64 (neg.f64 (sqrt.f64 z)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))
(sqrt.f64 z)
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (sqrt.f64 z))))
(*.f64 (neg.f64 (sqrt.f64 z)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))
(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)))
(*.f64 (neg.f64 (sqrt.f64 z)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))
(sqrt.f64 z)
(exp.f64 (log.f64 (sqrt.f64 z)))
(*.f64 (neg.f64 (sqrt.f64 z)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))
(sqrt.f64 z)
(exp.f64 (*.f64 (log.f64 z) #s(literal 1/2 binary64)))
(*.f64 (neg.f64 (sqrt.f64 z)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))
(sqrt.f64 z)
(exp.f64 (*.f64 (log.f64 (sqrt.f64 z)) #s(literal 1 binary64)))
(*.f64 (neg.f64 (sqrt.f64 z)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))
(sqrt.f64 z)

eval96.0ms (0.6%)

Compiler

Compiled 12644 to 3019 computations (76.1% saved)

prune228.0ms (1.4%)

Pruning

31 alts after pruning (24 fresh and 7 done)

PrunedKeptTotal
New76912781
Fresh51217
Picked145
Done033
Total77531806
Accuracy
99.7%
Counts
806 → 31
Alt Table
Click to see full alt table
StatusAccuracyProgram
51.4%
(/.f64 #s(literal -2 binary64) (/.f64 (neg.f64 (pow.f64 y #s(literal -1/2 binary64))) (sqrt.f64 z)))
32.6%
(*.f64 #s(literal 2 binary64) (pow.f64 (pow.f64 (*.f64 y x) #s(literal 1/4 binary64)) #s(literal 2 binary64)))
35.2%
(*.f64 #s(literal 2 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 z y)) #s(literal -1/2 binary64)))
52.5%
(*.f64 #s(literal 2 binary64) (pow.f64 (*.f64 (pow.f64 (+.f64 y x) #s(literal 1/4 binary64)) (pow.f64 z #s(literal 1/4 binary64))) #s(literal 2 binary64)))
46.2%
(*.f64 #s(literal 2 binary64) (pow.f64 (*.f64 (cbrt.f64 y) (cbrt.f64 x)) #s(literal 3/2 binary64)))
32.5%
(*.f64 #s(literal 2 binary64) (pow.f64 (cbrt.f64 (*.f64 y x)) #s(literal 3/2 binary64)))
51.5%
(*.f64 #s(literal 2 binary64) (/.f64 (sqrt.f64 z) (pow.f64 y #s(literal -1/2 binary64))))
51.4%
(*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 y #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) (sqrt.f64 z)))))
51.4%
(*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 y #s(literal -1/2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))))
37.7%
(*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) z) (+.f64 x y)))))
36.1%
(*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) z))))
35.2%
(*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) (-.f64 (neg.f64 z) y)))))
3.4%
(*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x z)))))
32.4%
(*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x y)))))
52.7%
(*.f64 #s(literal 2 binary64) (*.f64 (pow.f64 (pow.f64 (+.f64 y x) #s(literal 1/4 binary64)) #s(literal 2 binary64)) (sqrt.f64 z)))
51.3%
(*.f64 #s(literal 2 binary64) (*.f64 (pow.f64 z #s(literal 1/4 binary64)) (*.f64 (pow.f64 z #s(literal 1/4 binary64)) (sqrt.f64 y))))
52.6%
(*.f64 #s(literal 2 binary64) (*.f64 (sqrt.f64 (+.f64 y x)) (pow.f64 (pow.f64 z #s(literal 1/4 binary64)) #s(literal 2 binary64))))
52.8%
(*.f64 #s(literal 2 binary64) (*.f64 (sqrt.f64 (+.f64 y x)) (sqrt.f64 z)))
51.5%
(*.f64 #s(literal 2 binary64) (*.f64 (sqrt.f64 z) (sqrt.f64 y)))
35.4%
(*.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 z (/.f64 #s(literal 1 binary64) y))))
36.9%
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 (+.f64 y x) z)))
37.0%
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 z (fabs.f64 (+.f64 x y)))))
3.5%
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 z x)))
34.4%
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 x (+.f64 z y))))
48.4%
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 z x))))))
32.7%
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 x y)))
6.9%
(*.f64 #s(literal 2 binary64) (sqrt.f64 (fabs.f64 (*.f64 z x))))
3.5%
(*.f64 #s(literal 2 binary64) (exp.f64 (*.f64 (log.f64 (*.f64 z x)) #s(literal 1/2 binary64))))
24.7%
(*.f64 #s(literal 2 binary64) (cbrt.f64 (pow.f64 (*.f64 y x) #s(literal 3/2 binary64))))
35.5%
(sqrt.f64 (*.f64 z (*.f64 y #s(literal 4 binary64))))
3.5%
(expm1.f64 (log1p.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 z x)))))
Compiler

Compiled 1122 to 584 computations (48% saved)

regimes125.0ms (0.8%)

Counts
62 → 2
Calls
Call 1
Inputs
(sqrt.f64 (*.f64 z (*.f64 y #s(literal 4 binary64))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 x y)))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 z x)))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 z y)))
(sqrt.f64 (*.f64 z (*.f64 (+.f64 x y) #s(literal 4 binary64))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 x (+.f64 z y))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 z (+.f64 x y))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 (+.f64 y x) z)))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 z (/.f64 #s(literal 1 binary64) y))))
(*.f64 #s(literal 2 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 z y)) #s(literal -1/2 binary64)))
(*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x y)))))
(*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x z)))))
(*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) z))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 z x))))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (*.f64 x y) (*.f64 z (+.f64 y x)))))
(*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) z) (+.f64 x y)))))
(*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) (-.f64 (neg.f64 z) y)))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 x (+.f64 y (+.f64 z (*.f64 y (/.f64 z x)))))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 x (+.f64 y (+.f64 z (*.f64 z (/.f64 y x)))))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 z (+.f64 y (+.f64 x (*.f64 x (/.f64 y z)))))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (+.f64 (*.f64 x y) (*.f64 x z)) (*.f64 y z))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (fabs.f64 (*.f64 x y))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (fabs.f64 (*.f64 z x))))
(*.f64 #s(literal 2 binary64) (*.f64 (sqrt.f64 y) (sqrt.f64 x)))
(*.f64 #s(literal 2 binary64) (*.f64 (sqrt.f64 z) (sqrt.f64 x)))
(*.f64 #s(literal 2 binary64) (*.f64 (sqrt.f64 z) (sqrt.f64 y)))
(*.f64 #s(literal 2 binary64) (cbrt.f64 (pow.f64 (*.f64 y x) #s(literal 3/2 binary64))))
(*.f64 #s(literal 2 binary64) (/.f64 (sqrt.f64 z) (pow.f64 y #s(literal -1/2 binary64))))
(*.f64 #s(literal 2 binary64) (pow.f64 (cbrt.f64 (*.f64 y x)) #s(literal 3/2 binary64)))
(*.f64 #s(literal 2 binary64) (exp.f64 (*.f64 (log.f64 (*.f64 z x)) #s(literal 1/2 binary64))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 z (fabs.f64 (+.f64 x y)))))
(*.f64 #s(literal 2 binary64) (*.f64 (sqrt.f64 (+.f64 y x)) (sqrt.f64 z)))
(*.f64 #s(literal 2 binary64) (pow.f64 (pow.f64 (*.f64 y x) #s(literal 1/4 binary64)) #s(literal 2 binary64)))
(/.f64 #s(literal -2 binary64) (/.f64 (neg.f64 (pow.f64 y #s(literal -1/2 binary64))) (sqrt.f64 z)))
(*.f64 #s(literal 2 binary64) (exp.f64 (*.f64 (log.f64 (*.f64 z (+.f64 y x))) #s(literal 1/2 binary64))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (fma.f64 x y (*.f64 z (+.f64 x y)))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (fma.f64 x z (*.f64 y (+.f64 x z)))))
(*.f64 #s(literal 2 binary64) (pow.f64 (pow.f64 (*.f64 z (+.f64 y x)) #s(literal 1/4 binary64)) #s(literal 2 binary64)))
(*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 y #s(literal -1/2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))))
(*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 y #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) (sqrt.f64 z)))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (*.f64 x y) (fma.f64 z y (*.f64 x z)))))
(*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 z (+.f64 y x) (*.f64 y x))))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 (-.f64 (*.f64 (*.f64 x z) (*.f64 x z)) (pow.f64 (*.f64 y (+.f64 x z)) #s(literal 2 binary64))) (-.f64 (*.f64 x z) (*.f64 y (+.f64 x z))))))
(expm1.f64 (log1p.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 z x)))))
(*.f64 #s(literal 2 binary64) (pow.f64 (*.f64 (cbrt.f64 y) (cbrt.f64 x)) #s(literal 3/2 binary64)))
(expm1.f64 (log1p.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 z (+.f64 y x))))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 z (cbrt.f64 (pow.f64 (+.f64 y x) #s(literal 3 binary64))))))
(*.f64 #s(literal 2 binary64) (pow.f64 (cbrt.f64 (sqrt.f64 (*.f64 z (+.f64 y x)))) #s(literal 3 binary64)))
(*.f64 #s(literal 2 binary64) (*.f64 (sqrt.f64 (+.f64 y x)) (pow.f64 (pow.f64 z #s(literal 1/4 binary64)) #s(literal 2 binary64))))
(*.f64 #s(literal 2 binary64) (*.f64 (pow.f64 z #s(literal 1/4 binary64)) (*.f64 (pow.f64 z #s(literal 1/4 binary64)) (sqrt.f64 y))))
(*.f64 #s(literal 2 binary64) (*.f64 (pow.f64 (pow.f64 (+.f64 y x) #s(literal 1/4 binary64)) #s(literal 2 binary64)) (sqrt.f64 z)))
(*.f64 #s(literal 2 binary64) (cbrt.f64 (pow.f64 (fma.f64 z (+.f64 x y) (*.f64 x y)) #s(literal 3/2 binary64))))
(*.f64 #s(literal 2 binary64) (pow.f64 (*.f64 (pow.f64 (+.f64 y x) #s(literal 1/4 binary64)) (pow.f64 z #s(literal 1/4 binary64))) #s(literal 2 binary64)))
(*.f64 #s(literal 2 binary64) (pow.f64 (pow.f64 (fma.f64 x z (*.f64 y (+.f64 x z))) #s(literal 1/4 binary64)) #s(literal 2 binary64)))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (*.f64 x y) (*.f64 z (cbrt.f64 (pow.f64 (+.f64 x y) #s(literal 3 binary64)))))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (pow.f64 (cbrt.f64 (*.f64 x y)) #s(literal 3 binary64)) (*.f64 z (+.f64 y x)))))
(*.f64 y (+.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 z y))) (*.f64 x (sqrt.f64 (/.f64 z (pow.f64 y #s(literal 3 binary64)))))))
(*.f64 y (+.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 (+.f64 x z) y))) (*.f64 (*.f64 x z) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 y #s(literal 3 binary64)) (+.f64 x z)))))))
(*.f64 z (+.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 (+.f64 x y) z))) (*.f64 (*.f64 x y) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 z #s(literal 3 binary64)) (+.f64 x y)))))))
(*.f64 #s(literal 2 binary64) (*.f64 z (+.f64 (sqrt.f64 (/.f64 (+.f64 x y) z)) (*.f64 (*.f64 x (*.f64 y (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 3 binary64))) (+.f64 x y))))) #s(literal 1/2 binary64)))))
(*.f64 #s(literal 2 binary64) (*.f64 (fabs.f64 (cbrt.f64 (*.f64 z (+.f64 x y)))) (sqrt.f64 (cbrt.f64 (*.f64 z (+.f64 x y))))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 (*.f64 (sqrt.f64 (fma.f64 x z (*.f64 y (+.f64 x z)))) (cbrt.f64 (fma.f64 x z (*.f64 y (+.f64 x z))))) (cbrt.f64 (sqrt.f64 (fma.f64 x z (*.f64 y (+.f64 x z))))))))
Outputs
(*.f64 #s(literal 2 binary64) (pow.f64 (*.f64 (cbrt.f64 y) (cbrt.f64 x)) #s(literal 3/2 binary64)))
(*.f64 #s(literal 2 binary64) (*.f64 (sqrt.f64 (+.f64 y x)) (sqrt.f64 z)))
Calls

6 calls:

31.0ms
z
18.0ms
(+.f64 (+.f64 (*.f64 x y) (*.f64 x z)) (*.f64 y z))
18.0ms
(*.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (+.f64 (*.f64 x y) (*.f64 x z)) (*.f64 y z))))
18.0ms
x
18.0ms
(sqrt.f64 (+.f64 (+.f64 (*.f64 x y) (*.f64 x z)) (*.f64 y z)))
Results
AccuracySegmentsBranch
94.0%3x
97.7%2y
91.8%3z
83.8%2(*.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (+.f64 (*.f64 x y) (*.f64 x z)) (*.f64 y z))))
83.8%2(sqrt.f64 (+.f64 (+.f64 (*.f64 x y) (*.f64 x z)) (*.f64 y z)))
83.8%2(+.f64 (+.f64 (*.f64 x y) (*.f64 x z)) (*.f64 y z))
Compiler

Compiled 58 to 37 computations (36.2% saved)

regimes44.0ms (0.3%)

Counts
44 → 2
Calls
Call 1
Inputs
(sqrt.f64 (*.f64 z (*.f64 y #s(literal 4 binary64))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 x y)))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 z x)))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 z y)))
(sqrt.f64 (*.f64 z (*.f64 (+.f64 x y) #s(literal 4 binary64))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 x (+.f64 z y))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 z (+.f64 x y))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 (+.f64 y x) z)))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 z (/.f64 #s(literal 1 binary64) y))))
(*.f64 #s(literal 2 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 z y)) #s(literal -1/2 binary64)))
(*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x y)))))
(*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x z)))))
(*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) z))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 z x))))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (*.f64 x y) (*.f64 z (+.f64 y x)))))
(*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) z) (+.f64 x y)))))
(*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) (-.f64 (neg.f64 z) y)))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 x (+.f64 y (+.f64 z (*.f64 y (/.f64 z x)))))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 x (+.f64 y (+.f64 z (*.f64 z (/.f64 y x)))))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 z (+.f64 y (+.f64 x (*.f64 x (/.f64 y z)))))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (+.f64 (*.f64 x y) (*.f64 x z)) (*.f64 y z))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (fabs.f64 (*.f64 x y))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (fabs.f64 (*.f64 z x))))
(*.f64 #s(literal 2 binary64) (*.f64 (sqrt.f64 y) (sqrt.f64 x)))
(*.f64 #s(literal 2 binary64) (*.f64 (sqrt.f64 z) (sqrt.f64 x)))
(*.f64 #s(literal 2 binary64) (*.f64 (sqrt.f64 z) (sqrt.f64 y)))
(*.f64 #s(literal 2 binary64) (cbrt.f64 (pow.f64 (*.f64 y x) #s(literal 3/2 binary64))))
(*.f64 #s(literal 2 binary64) (/.f64 (sqrt.f64 z) (pow.f64 y #s(literal -1/2 binary64))))
(*.f64 #s(literal 2 binary64) (pow.f64 (cbrt.f64 (*.f64 y x)) #s(literal 3/2 binary64)))
(*.f64 #s(literal 2 binary64) (exp.f64 (*.f64 (log.f64 (*.f64 z x)) #s(literal 1/2 binary64))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 z (fabs.f64 (+.f64 x y)))))
(*.f64 #s(literal 2 binary64) (*.f64 (sqrt.f64 (+.f64 y x)) (sqrt.f64 z)))
(*.f64 #s(literal 2 binary64) (pow.f64 (pow.f64 (*.f64 y x) #s(literal 1/4 binary64)) #s(literal 2 binary64)))
(/.f64 #s(literal -2 binary64) (/.f64 (neg.f64 (pow.f64 y #s(literal -1/2 binary64))) (sqrt.f64 z)))
(*.f64 #s(literal 2 binary64) (exp.f64 (*.f64 (log.f64 (*.f64 z (+.f64 y x))) #s(literal 1/2 binary64))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (fma.f64 x y (*.f64 z (+.f64 x y)))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (fma.f64 x z (*.f64 y (+.f64 x z)))))
(*.f64 #s(literal 2 binary64) (pow.f64 (pow.f64 (*.f64 z (+.f64 y x)) #s(literal 1/4 binary64)) #s(literal 2 binary64)))
(*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 y #s(literal -1/2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))))
(*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 y #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) (sqrt.f64 z)))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (*.f64 x y) (fma.f64 z y (*.f64 x z)))))
(*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 z (+.f64 y x) (*.f64 y x))))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 (-.f64 (*.f64 (*.f64 x z) (*.f64 x z)) (pow.f64 (*.f64 y (+.f64 x z)) #s(literal 2 binary64))) (-.f64 (*.f64 x z) (*.f64 y (+.f64 x z))))))
(expm1.f64 (log1p.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 z x)))))
Outputs
(*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) (-.f64 (neg.f64 z) y)))))
(*.f64 #s(literal 2 binary64) (*.f64 (sqrt.f64 (+.f64 y x)) (sqrt.f64 z)))
Calls

3 calls:

14.0ms
x
13.0ms
y
13.0ms
z
Results
AccuracySegmentsBranch
84.6%2z
80.6%2x
86.2%2y
Compiler

Compiled 12 to 9 computations (25% saved)

regimes13.0ms (0.1%)

Counts
31 → 2
Calls
Call 1
Inputs
(sqrt.f64 (*.f64 z (*.f64 y #s(literal 4 binary64))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 x y)))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 z x)))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 z y)))
(sqrt.f64 (*.f64 z (*.f64 (+.f64 x y) #s(literal 4 binary64))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 x (+.f64 z y))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 z (+.f64 x y))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 (+.f64 y x) z)))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 z (/.f64 #s(literal 1 binary64) y))))
(*.f64 #s(literal 2 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 z y)) #s(literal -1/2 binary64)))
(*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x y)))))
(*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x z)))))
(*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) z))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 z x))))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (*.f64 x y) (*.f64 z (+.f64 y x)))))
(*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) z) (+.f64 x y)))))
(*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) (-.f64 (neg.f64 z) y)))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 x (+.f64 y (+.f64 z (*.f64 y (/.f64 z x)))))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 x (+.f64 y (+.f64 z (*.f64 z (/.f64 y x)))))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 z (+.f64 y (+.f64 x (*.f64 x (/.f64 y z)))))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (+.f64 (*.f64 x y) (*.f64 x z)) (*.f64 y z))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (fabs.f64 (*.f64 x y))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (fabs.f64 (*.f64 z x))))
(*.f64 #s(literal 2 binary64) (*.f64 (sqrt.f64 y) (sqrt.f64 x)))
(*.f64 #s(literal 2 binary64) (*.f64 (sqrt.f64 z) (sqrt.f64 x)))
(*.f64 #s(literal 2 binary64) (*.f64 (sqrt.f64 z) (sqrt.f64 y)))
(*.f64 #s(literal 2 binary64) (cbrt.f64 (pow.f64 (*.f64 y x) #s(literal 3/2 binary64))))
(*.f64 #s(literal 2 binary64) (/.f64 (sqrt.f64 z) (pow.f64 y #s(literal -1/2 binary64))))
(*.f64 #s(literal 2 binary64) (pow.f64 (cbrt.f64 (*.f64 y x)) #s(literal 3/2 binary64)))
(*.f64 #s(literal 2 binary64) (exp.f64 (*.f64 (log.f64 (*.f64 z x)) #s(literal 1/2 binary64))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 z (fabs.f64 (+.f64 x y)))))
Outputs
(*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) (-.f64 (neg.f64 z) y)))))
(*.f64 #s(literal 2 binary64) (/.f64 (sqrt.f64 z) (pow.f64 y #s(literal -1/2 binary64))))
Calls

1 calls:

10.0ms
y
Results
AccuracySegmentsBranch
84.8%2y
Compiler

Compiled 4 to 3 computations (25% saved)

regimes12.0ms (0.1%)

Counts
27 → 2
Calls
Call 1
Inputs
(sqrt.f64 (*.f64 z (*.f64 y #s(literal 4 binary64))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 x y)))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 z x)))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 z y)))
(sqrt.f64 (*.f64 z (*.f64 (+.f64 x y) #s(literal 4 binary64))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 x (+.f64 z y))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 z (+.f64 x y))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 (+.f64 y x) z)))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 z (/.f64 #s(literal 1 binary64) y))))
(*.f64 #s(literal 2 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 z y)) #s(literal -1/2 binary64)))
(*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x y)))))
(*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x z)))))
(*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) z))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 z x))))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (*.f64 x y) (*.f64 z (+.f64 y x)))))
(*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) z) (+.f64 x y)))))
(*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) (-.f64 (neg.f64 z) y)))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 x (+.f64 y (+.f64 z (*.f64 y (/.f64 z x)))))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 x (+.f64 y (+.f64 z (*.f64 z (/.f64 y x)))))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 z (+.f64 y (+.f64 x (*.f64 x (/.f64 y z)))))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (+.f64 (*.f64 x y) (*.f64 x z)) (*.f64 y z))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (fabs.f64 (*.f64 x y))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (fabs.f64 (*.f64 z x))))
(*.f64 #s(literal 2 binary64) (*.f64 (sqrt.f64 y) (sqrt.f64 x)))
(*.f64 #s(literal 2 binary64) (*.f64 (sqrt.f64 z) (sqrt.f64 x)))
(*.f64 #s(literal 2 binary64) (*.f64 (sqrt.f64 z) (sqrt.f64 y)))
(*.f64 #s(literal 2 binary64) (cbrt.f64 (pow.f64 (*.f64 y x) #s(literal 3/2 binary64))))
Outputs
(*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) (-.f64 (neg.f64 z) y)))))
(*.f64 #s(literal 2 binary64) (*.f64 (sqrt.f64 z) (sqrt.f64 y)))
Calls

1 calls:

9.0ms
y
Results
AccuracySegmentsBranch
84.8%2y
Compiler

Compiled 4 to 3 computations (25% saved)

regimes120.0ms (0.7%)

Counts
25 → 2
Calls
Call 1
Inputs
(sqrt.f64 (*.f64 z (*.f64 y #s(literal 4 binary64))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 x y)))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 z x)))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 z y)))
(sqrt.f64 (*.f64 z (*.f64 (+.f64 x y) #s(literal 4 binary64))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 x (+.f64 z y))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 z (+.f64 x y))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 (+.f64 y x) z)))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 z (/.f64 #s(literal 1 binary64) y))))
(*.f64 #s(literal 2 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 z y)) #s(literal -1/2 binary64)))
(*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x y)))))
(*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x z)))))
(*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) z))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 z x))))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (*.f64 x y) (*.f64 z (+.f64 y x)))))
(*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) z) (+.f64 x y)))))
(*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) (-.f64 (neg.f64 z) y)))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 x (+.f64 y (+.f64 z (*.f64 y (/.f64 z x)))))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 x (+.f64 y (+.f64 z (*.f64 z (/.f64 y x)))))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 z (+.f64 y (+.f64 x (*.f64 x (/.f64 y z)))))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (+.f64 (*.f64 x y) (*.f64 x z)) (*.f64 y z))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (fabs.f64 (*.f64 x y))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (fabs.f64 (*.f64 z x))))
(*.f64 #s(literal 2 binary64) (*.f64 (sqrt.f64 y) (sqrt.f64 x)))
(*.f64 #s(literal 2 binary64) (*.f64 (sqrt.f64 z) (sqrt.f64 x)))
Outputs
(*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) (-.f64 (neg.f64 z) y)))))
(*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) z) (+.f64 x y)))))
Calls

6 calls:

75.0ms
x
10.0ms
y
9.0ms
(sqrt.f64 (+.f64 (+.f64 (*.f64 x y) (*.f64 x z)) (*.f64 y z)))
8.0ms
(+.f64 (+.f64 (*.f64 x y) (*.f64 x z)) (*.f64 y z))
8.0ms
z
Results
AccuracySegmentsBranch
67.6%1x
67.6%1(*.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (+.f64 (*.f64 x y) (*.f64 x z)) (*.f64 y z))))
67.6%1(sqrt.f64 (+.f64 (+.f64 (*.f64 x y) (*.f64 x z)) (*.f64 y z)))
67.6%1(+.f64 (+.f64 (*.f64 x y) (*.f64 x z)) (*.f64 y z))
67.6%1z
69.5%2y
Compiler

Compiled 58 to 37 computations (36.2% saved)

regimes19.0ms (0.1%)

Counts
16 → 1
Calls
Call 1
Inputs
(sqrt.f64 (*.f64 z (*.f64 y #s(literal 4 binary64))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 x y)))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 z x)))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 z y)))
(sqrt.f64 (*.f64 z (*.f64 (+.f64 x y) #s(literal 4 binary64))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 x (+.f64 z y))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 z (+.f64 x y))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 (+.f64 y x) z)))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 z (/.f64 #s(literal 1 binary64) y))))
(*.f64 #s(literal 2 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 z y)) #s(literal -1/2 binary64)))
(*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x y)))))
(*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x z)))))
(*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) z))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 z x))))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (*.f64 x y) (*.f64 z (+.f64 y x)))))
(*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) z) (+.f64 x y)))))
Outputs
(*.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (*.f64 x y) (*.f64 z (+.f64 y x)))))
Calls

2 calls:

12.0ms
z
5.0ms
y
Results
AccuracySegmentsBranch
67.6%1z
67.6%1y
Compiler

Compiled 8 to 6 computations (25% saved)

regimes16.0ms (0.1%)

Counts
14 → 2
Calls
Call 1
Inputs
(sqrt.f64 (*.f64 z (*.f64 y #s(literal 4 binary64))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 x y)))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 z x)))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 z y)))
(sqrt.f64 (*.f64 z (*.f64 (+.f64 x y) #s(literal 4 binary64))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 x (+.f64 z y))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 z (+.f64 x y))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 (+.f64 y x) z)))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 z (/.f64 #s(literal 1 binary64) y))))
(*.f64 #s(literal 2 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 z y)) #s(literal -1/2 binary64)))
(*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x y)))))
(*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x z)))))
(*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) z))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 z x))))))
Outputs
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 x (+.f64 z y))))
(sqrt.f64 (*.f64 z (*.f64 (+.f64 x y) #s(literal 4 binary64))))
Calls

3 calls:

6.0ms
x
5.0ms
z
5.0ms
y
Results
AccuracySegmentsBranch
66.1%2x
67.8%2y
66.2%2z
Compiler

Compiled 12 to 9 computations (25% saved)

regimes3.0ms (0%)

Counts
5 → 2
Calls
Call 1
Inputs
(sqrt.f64 (*.f64 z (*.f64 y #s(literal 4 binary64))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 x y)))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 z x)))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 z y)))
(sqrt.f64 (*.f64 z (*.f64 (+.f64 x y) #s(literal 4 binary64))))
Outputs
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 x y)))
(sqrt.f64 (*.f64 z (*.f64 (+.f64 x y) #s(literal 4 binary64))))
Calls

1 calls:

2.0ms
y
Results
AccuracySegmentsBranch
66.5%2y
Compiler

Compiled 4 to 3 computations (25% saved)

regimes8.0ms (0%)

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

3 calls:

3.0ms
x
2.0ms
z
2.0ms
y
Results
AccuracySegmentsBranch
62.8%2x
63.1%2z
65.4%2y
Compiler

Compiled 12 to 9 computations (25% saved)

regimes4.0ms (0%)

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

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

3 calls:

1.0ms
z
1.0ms
x
1.0ms
y
Results
AccuracySegmentsBranch
35.5%1x
35.5%1z
35.5%1y
Compiler

Compiled 12 to 9 computations (25% saved)

bsearch52.0ms (0.3%)

Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
47.0ms
-5.706351354619913e-279
4.156089493070278e-293
Results
18.0ms198×0invalid
17.0ms192×0valid
Compiler

Compiled 335 to 268 computations (20% saved)

Precisions
Click to see histograms. Total time spent on operations: 20.0ms
ival-mult: 12.0ms (60.4% of total)
ival-add: 4.0ms (20.1% of total)
ival-sqrt: 3.0ms (15.1% of total)
const: 1.0ms (5% of total)
backward-pass: 0.0ms (0% of total)

bsearch50.0ms (0.3%)

Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
46.0ms
-5.706351354619913e-279
4.156089493070278e-293
Results
17.0ms193×0invalid
16.0ms192×0valid
Compiler

Compiled 383 to 304 computations (20.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 20.0ms
ival-mult: 12.0ms (59.8% of total)
ival-add: 4.0ms (19.9% of total)
ival-sqrt: 3.0ms (15% of total)
const: 1.0ms (5% of total)
backward-pass: 0.0ms (0% of total)

bsearch47.0ms (0.3%)

Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
41.0ms
-5.706351354619913e-279
4.156089493070278e-293
Results
16.0ms192×0valid
13.0ms157×0invalid
Compiler

Compiled 371 to 304 computations (18.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 18.0ms
ival-mult: 11.0ms (60.9% of total)
ival-add: 3.0ms (16.6% of total)
ival-sqrt: 3.0ms (16.6% of total)
const: 1.0ms (5.5% of total)
backward-pass: 0.0ms (0% of total)

bsearch109.0ms (0.7%)

Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
105.0ms
-5.706351354619913e-279
4.156089493070278e-293
Results
78.0ms192×0valid
16.0ms190×0invalid
Compiler

Compiled 359 to 292 computations (18.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 20.0ms
ival-mult: 12.0ms (60.2% of total)
ival-add: 4.0ms (20.1% of total)
ival-sqrt: 3.0ms (15.1% of total)
const: 1.0ms (5% of total)
backward-pass: 0.0ms (0% of total)

bsearch38.0ms (0.2%)

Algorithm
binary-search
Stop Event
predicate-same
Steps
TimeLeftRight
34.0ms
-5.706351354619913e-279
4.156089493070278e-293
Results
15.0ms160×0valid
10.0ms119×0invalid
Compiler

Compiled 353 to 276 computations (21.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 15.0ms
ival-mult: 10.0ms (66.6% of total)
ival-add: 3.0ms (20% of total)
ival-sqrt: 2.0ms (13.3% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

bsearch14.0ms (0.1%)

Algorithm
binary-search
Stop Event
predicate-same
Steps
TimeLeftRight
12.0ms
-5.706351354619913e-279
4.156089493070278e-293
Results
5.0ms57×0invalid
4.0ms48×0valid
Compiler

Compiled 95 to 70 computations (26.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 5.0ms
ival-mult: 3.0ms (59.2% of total)
ival-add: 1.0ms (19.7% of total)
ival-sqrt: 1.0ms (19.7% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

bsearch45.0ms (0.3%)

Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
40.0ms
-5.706351354619913e-279
4.156089493070278e-293
Results
17.0ms192×0valid
13.0ms150×0invalid
Compiler

Compiled 287 to 220 computations (23.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 17.0ms
ival-mult: 10.0ms (57.4% of total)
ival-add: 4.0ms (23% of total)
ival-sqrt: 3.0ms (17.2% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

bsearch51.0ms (0.3%)

Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
47.0ms
-5.706351354619913e-279
4.156089493070278e-293
Results
18.0ms192×0valid
18.0ms207×0invalid
Compiler

Compiled 263 to 208 computations (20.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 21.0ms
ival-mult: 13.0ms (61.5% of total)
ival-add: 4.0ms (18.9% of total)
ival-sqrt: 3.0ms (14.2% of total)
const: 1.0ms (4.7% of total)
backward-pass: 0.0ms (0% of total)

simplify23.0ms (0.1%)

Algorithm
egg-herbie
Rules
25×*-commutative
11×+-commutative
sub-neg
neg-sub0
neg-mul-1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
083731
1115731
2121731
3129731
4136731
5145731
6152731
7156731
8158731
Stop Event
saturated
Calls
Call 1
Inputs
(if (<=.f64 y #s(literal -1788272917343109/319334449525555169865019634085894170570792201669673206640407558789953902699034250525593274478821712174294791495070799239035590078142974985718267487725573027251200907672173708242806035431098077949224537079127027838932929672819339262222216842951687065201139345100120966662777359236855041588461568 binary64)) (*.f64 #s(literal 2 binary64) (pow.f64 (*.f64 (cbrt.f64 y) (cbrt.f64 x)) #s(literal 3/2 binary64))) (*.f64 #s(literal 2 binary64) (*.f64 (sqrt.f64 (+.f64 y x)) (sqrt.f64 z))))
(if (<=.f64 y #s(literal 7370541852935495/179769313486231590772930519078902473361797697894230657273430081157732675805500963132708477322407536021120113879871393357658789768814416622492847430639474124377767893424865485276302219601246094119453082952085005768838150682342462881473913110540827237163350510684586298239947245938479716304835356329624224137216 binary64)) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) (-.f64 (neg.f64 z) y))))) (*.f64 #s(literal 2 binary64) (*.f64 (sqrt.f64 (+.f64 y x)) (sqrt.f64 z))))
(if (<=.f64 y #s(literal 7370541852935495/179769313486231590772930519078902473361797697894230657273430081157732675805500963132708477322407536021120113879871393357658789768814416622492847430639474124377767893424865485276302219601246094119453082952085005768838150682342462881473913110540827237163350510684586298239947245938479716304835356329624224137216 binary64)) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) (-.f64 (neg.f64 z) y))))) (*.f64 #s(literal 2 binary64) (/.f64 (sqrt.f64 z) (pow.f64 y #s(literal -1/2 binary64)))))
(if (<=.f64 y #s(literal 7370541852935495/179769313486231590772930519078902473361797697894230657273430081157732675805500963132708477322407536021120113879871393357658789768814416622492847430639474124377767893424865485276302219601246094119453082952085005768838150682342462881473913110540827237163350510684586298239947245938479716304835356329624224137216 binary64)) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) (-.f64 (neg.f64 z) y))))) (*.f64 #s(literal 2 binary64) (*.f64 (sqrt.f64 z) (sqrt.f64 y))))
(if (<=.f64 y #s(literal -5790774916858023/386051661123868214325895970762095083331216144111904370034983364157543830047598546775742309000849007597326427200921653578548066591998660043462778854257084865420374725869305346230443778499781067545394454342790117394565596548890481374012190543459242928201313126587598361115137891035519604744312911050121319319358268243968 binary64)) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) (-.f64 (neg.f64 z) y))))) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) z) (+.f64 x y))))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (*.f64 x y) (*.f64 z (+.f64 y x)))))
(if (<=.f64 y #s(literal -3511119404027961/175555970201398037864189960037990696642380564349834626243584063630598316216309534309285622385163609395625111210811907575838661883607828732903171318983861449587663958422720200465138886329341888788528401320395513446131006525725061407689368272012526598792334483090416306874948482361796597953940777665648656384 binary64)) (*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 x (+.f64 z y)))) (sqrt.f64 (*.f64 z (*.f64 (+.f64 x y) #s(literal 4 binary64)))))
(if (<=.f64 y #s(literal -1788272917343109/319334449525555169865019634085894170570792201669673206640407558789953902699034250525593274478821712174294791495070799239035590078142974985718267487725573027251200907672173708242806035431098077949224537079127027838932929672819339262222216842951687065201139345100120966662777359236855041588461568 binary64)) (*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 x y))) (sqrt.f64 (*.f64 z (*.f64 (+.f64 x y) #s(literal 4 binary64)))))
(if (<=.f64 y #s(literal -101201126653655/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) (*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 x y))) (sqrt.f64 (*.f64 z (*.f64 y #s(literal 4 binary64)))))
(sqrt.f64 (*.f64 z (*.f64 y #s(literal 4 binary64))))
Outputs
(if (<=.f64 y #s(literal -1788272917343109/319334449525555169865019634085894170570792201669673206640407558789953902699034250525593274478821712174294791495070799239035590078142974985718267487725573027251200907672173708242806035431098077949224537079127027838932929672819339262222216842951687065201139345100120966662777359236855041588461568 binary64)) (*.f64 #s(literal 2 binary64) (pow.f64 (*.f64 (cbrt.f64 y) (cbrt.f64 x)) #s(literal 3/2 binary64))) (*.f64 #s(literal 2 binary64) (*.f64 (sqrt.f64 (+.f64 y x)) (sqrt.f64 z))))
(if (<=.f64 y #s(literal 7370541852935495/179769313486231590772930519078902473361797697894230657273430081157732675805500963132708477322407536021120113879871393357658789768814416622492847430639474124377767893424865485276302219601246094119453082952085005768838150682342462881473913110540827237163350510684586298239947245938479716304835356329624224137216 binary64)) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) (-.f64 (neg.f64 z) y))))) (*.f64 #s(literal 2 binary64) (*.f64 (sqrt.f64 (+.f64 y x)) (sqrt.f64 z))))
(if (<=.f64 y #s(literal 7370541852935495/179769313486231590772930519078902473361797697894230657273430081157732675805500963132708477322407536021120113879871393357658789768814416622492847430639474124377767893424865485276302219601246094119453082952085005768838150682342462881473913110540827237163350510684586298239947245938479716304835356329624224137216 binary64)) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) (-.f64 (neg.f64 z) y))))) (*.f64 #s(literal 2 binary64) (/.f64 (sqrt.f64 z) (pow.f64 y #s(literal -1/2 binary64)))))
(if (<=.f64 y #s(literal 7370541852935495/179769313486231590772930519078902473361797697894230657273430081157732675805500963132708477322407536021120113879871393357658789768814416622492847430639474124377767893424865485276302219601246094119453082952085005768838150682342462881473913110540827237163350510684586298239947245938479716304835356329624224137216 binary64)) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) (-.f64 (neg.f64 z) y))))) (*.f64 #s(literal 2 binary64) (*.f64 (sqrt.f64 z) (sqrt.f64 y))))
(if (<=.f64 y #s(literal -5790774916858023/386051661123868214325895970762095083331216144111904370034983364157543830047598546775742309000849007597326427200921653578548066591998660043462778854257084865420374725869305346230443778499781067545394454342790117394565596548890481374012190543459242928201313126587598361115137891035519604744312911050121319319358268243968 binary64)) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) (-.f64 (neg.f64 z) y))))) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) z) (+.f64 x y))))))
(if (<=.f64 y #s(literal -5790774916858023/386051661123868214325895970762095083331216144111904370034983364157543830047598546775742309000849007597326427200921653578548066591998660043462778854257084865420374725869305346230443778499781067545394454342790117394565596548890481374012190543459242928201313126587598361115137891035519604744312911050121319319358268243968 binary64)) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) (-.f64 (neg.f64 z) y))))) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) z) (+.f64 y x))))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (*.f64 x y) (*.f64 z (+.f64 y x)))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (*.f64 y x) (*.f64 (+.f64 y x) z))))
(if (<=.f64 y #s(literal -3511119404027961/175555970201398037864189960037990696642380564349834626243584063630598316216309534309285622385163609395625111210811907575838661883607828732903171318983861449587663958422720200465138886329341888788528401320395513446131006525725061407689368272012526598792334483090416306874948482361796597953940777665648656384 binary64)) (*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 x (+.f64 z y)))) (sqrt.f64 (*.f64 z (*.f64 (+.f64 x y) #s(literal 4 binary64)))))
(if (<=.f64 y #s(literal -3511119404027961/175555970201398037864189960037990696642380564349834626243584063630598316216309534309285622385163609395625111210811907575838661883607828732903171318983861449587663958422720200465138886329341888788528401320395513446131006525725061407689368272012526598792334483090416306874948482361796597953940777665648656384 binary64)) (*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 x (+.f64 y z)))) (sqrt.f64 (*.f64 z (*.f64 (+.f64 y x) #s(literal 4 binary64)))))
(if (<=.f64 y #s(literal -1788272917343109/319334449525555169865019634085894170570792201669673206640407558789953902699034250525593274478821712174294791495070799239035590078142974985718267487725573027251200907672173708242806035431098077949224537079127027838932929672819339262222216842951687065201139345100120966662777359236855041588461568 binary64)) (*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 x y))) (sqrt.f64 (*.f64 z (*.f64 (+.f64 x y) #s(literal 4 binary64)))))
(if (<=.f64 y #s(literal -1788272917343109/319334449525555169865019634085894170570792201669673206640407558789953902699034250525593274478821712174294791495070799239035590078142974985718267487725573027251200907672173708242806035431098077949224537079127027838932929672819339262222216842951687065201139345100120966662777359236855041588461568 binary64)) (*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 y x))) (sqrt.f64 (*.f64 z (*.f64 (+.f64 y x) #s(literal 4 binary64)))))
(if (<=.f64 y #s(literal -101201126653655/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) (*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 x y))) (sqrt.f64 (*.f64 z (*.f64 y #s(literal 4 binary64)))))
(if (<=.f64 y #s(literal -101201126653655/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) (*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 y x))) (sqrt.f64 (*.f64 z (*.f64 y #s(literal 4 binary64)))))
(sqrt.f64 (*.f64 z (*.f64 y #s(literal 4 binary64))))

soundness3.8s (22.6%)

Rules
983×log1p-expm1-u
843×fma-neg
790×expm1-log1p-u
766×prod-diff
694×fma-define
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0101259462
1305858234
2768258234
028458
1439458
25185458
0110825439
1255123690
057590
1156534
2328530
3624530
41291530
51969530
62919530
73283530
83342530
93348530
103348530
02495111930
16891110474
0253169126
1660667710
034346
1539330
26817330
041643
1747643
039649
1631599
Stop Event
fuel
node limit
node limit
node limit
node limit
node limit
saturated
node limit
node limit
node limit
Compiler

Compiled 1612 to 579 computations (64.1% saved)

preprocess116.0ms (0.7%)

Compiler

Compiled 672 to 294 computations (56.3% saved)

end0.0ms (0%)

Profiling

Loading profile data...