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

Time bar (total: 13.8s)

analyze432.0ms (3.1%)

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: 239.0ms
ival-sqrt: 97.0ms (40.6% of total)
ival-add: 76.0ms (31.8% of total)
ival-mult: 63.0ms (26.3% of total)
const: 3.0ms (1.3% of total)
backward-pass: 1.0ms (0.4% of total)

sample1.9s (14.1%)

Results
1.1s8256×0valid
471.0ms4533×0invalid
Precisions
Click to see histograms. Total time spent on operations: 977.0ms
ival-mult: 516.0ms (52.8% of total)
ival-add: 301.0ms (30.8% of total)
ival-sqrt: 140.0ms (14.3% of total)
const: 16.0ms (1.6% of total)
backward-pass: 4.0ms (0.4% of total)
Bogosity

preprocess160.0ms (1.2%)

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)

explain233.0ms (1.7%)

FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
740-0-(sqrt.f64 (+.f64 (+.f64 (*.f64 x y) (*.f64 x z)) (*.f64 y z)))
90-0-(+.f64 (+.f64 (*.f64 x y) (*.f64 x z)) (*.f64 y z))
50-0-(+.f64 (*.f64 x y) (*.f64 x z))
00-0-z
00-0-(*.f64 x z)
00-0-(*.f64 x y)
00-0-(*.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (+.f64 (*.f64 x y) (*.f64 x z)) (*.f64 y z))))
00-0-#s(literal 2 binary64)
00-0-y
00-0-(*.f64 y z)
00-0-x
Explanations
Click to see full explanations table
OperatorSubexpressionExplanationCount
sqrt.f64(sqrt.f64 (+.f64 (+.f64 (*.f64 x y) (*.f64 x z)) (*.f64 y z)))oflow-rescue660
(+.f64 (+.f64 (*.f64 x y) (*.f64 x z)) (*.f64 y z))overflow66
(*.f64 y z)overflow39
(+.f64 (*.f64 x y) (*.f64 x z))overflow45
(*.f64 x z)overflow20
(*.f64 x y)overflow39
+.f64(+.f64 (+.f64 (*.f64 x y) (*.f64 x z)) (*.f64 y z))nan-rescue90
(+.f64 (*.f64 x y) (*.f64 x z))overflow45
(*.f64 x z)overflow20
(*.f64 x y)overflow39
(*.f64 y z)overflow39
sqrt.f64(sqrt.f64 (+.f64 (+.f64 (*.f64 x y) (*.f64 x z)) (*.f64 y z)))uflow-rescue80
(+.f64 (+.f64 (*.f64 x y) (*.f64 x z)) (*.f64 y z))underflow8
(*.f64 y z)underflow34
(+.f64 (*.f64 x y) (*.f64 x z))underflow10
(*.f64 x z)underflow15
(*.f64 x y)underflow39
+.f64(+.f64 (*.f64 x y) (*.f64 x z))nan-rescue50
(*.f64 x y)overflow39
(*.f64 x z)overflow20
Confusion
Predicted +Predicted -
+740
-0182
Precision
1.0
Recall
1.0
Confusion?
Predicted +Predicted MaybePredicted -
+7400
-00182
Precision?
1.0
Recall?
1.0
Freqs
test
numberfreq
0182
164
26
34
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Results
69.0ms512×0valid
Compiler

Compiled 156 to 46 computations (70.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 41.0ms
ival-sqrt: 19.0ms (46.3% of total)
ival-mult: 16.0ms (39% of total)
ival-add: 5.0ms (12.2% of total)
const: 1.0ms (2.4% of total)
backward-pass: 0.0ms (0% of total)

eval1.0ms (0%)

Compiler

Compiled 37 to 20 computations (45.9% saved)

prune1.0ms (0%)

Alt Table
Click to see full alt table
StatusAccuracyProgram
72.7%
(*.f64 #s(literal 2 binary64) (sqrt.f64 (fma.f64 x z (*.f64 y (+.f64 x z)))))
72.4%
(*.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (*.f64 x y) (*.f64 z (+.f64 y x)))))
Compiler

Compiled 29 to 19 computations (34.5% saved)

simplify12.0ms (0.1%)

Algorithm
egg-herbie
Localize:

Found 8 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-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
25×fma-define
*-commutative
+-commutative
associate-+r+
distribute-rgt-in
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
023353
142353
267353
383353
489353
590353
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 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 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)

localize129.0ms (0.9%)

Localize:

Found 8 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(*.f64 #s(literal 2 binary64) (sqrt.f64 (fma.f64 x z (*.f64 y (+.f64 x z)))))
accuracy100.0%
(*.f64 y (+.f64 x z))
accuracy100.0%
(fma.f64 x z (*.f64 y (+.f64 x z)))
accuracy72.7%
(sqrt.f64 (fma.f64 x z (*.f64 y (+.f64 x z))))
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))
accuracy97.2%
(+.f64 (*.f64 x y) (*.f64 z (+.f64 y x)))
accuracy72.7%
(sqrt.f64 (+.f64 (*.f64 x y) (*.f64 z (+.f64 y x))))
Results
110.0ms256×0valid
Compiler

Compiled 90 to 16 computations (82.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 62.0ms
ival-fma: 44.0ms (70.6% of total)
ival-mult: 9.0ms (14.4% of total)
ival-add: 4.0ms (6.4% of total)
ival-sqrt: 4.0ms (6.4% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

series77.0ms (0.6%)

Counts
10 → 300
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 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)))))>
#<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 x>
#<alt (+.f64 x y)>
#<alt (+.f64 x y)>
#<alt (+.f64 x y)>
#<alt y>
#<alt (*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 x y)))>
#<alt (*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 x y)))>
#<alt (*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 x y)))>
#<alt y>
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#<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

84 calls:

TimeVariablePointExpression
7.0ms
y
@-inf
(* 2 (sqrt (+ (* x y) (* z (+ y x)))))
4.0ms
z
@0
(* 2 (sqrt (+ (* x y) (* z (+ y x)))))
3.0ms
y
@-inf
(* 2 (sqrt (+ (* x z) (* y (+ x z)))))
3.0ms
y
@inf
(* 2 (sqrt (+ (* x y) (* z (+ y x)))))
2.0ms
x
@0
(+ (* x z) (* y (+ x z)))

rewrite567.0ms (4.1%)

Algorithm
batch-egg-rewrite
Rules
906×log1p-expm1-u
906×expm1-log1p-u
377×fma-neg
148×add-cube-cbrt
145×add-exp-log
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
023314
1325314
24733314
Stop Event
node limit
Counts
10 → 271
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 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 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)))
(+.f64 (*.f64 x z) (*.f64 y z))
(+.f64 (*.f64 y z) (*.f64 x z))
(+.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 (*.f64 (*.f64 y z) (*.f64 y z)) (*.f64 (*.f64 x z) (*.f64 x z))) (-.f64 (*.f64 y z) (*.f64 x z)))
(/.f64 (*.f64 z (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (fma.f64 y y (*.f64 x (-.f64 x y))))
(/.f64 (*.f64 z (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))) (-.f64 y x))
(/.f64 (*.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) z) (fma.f64 y y (*.f64 x (-.f64 x y))))
(/.f64 (*.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) z) (-.f64 y x))
(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 y z (*.f64 x 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 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 x #s(literal 3 binary64)) (pow.f64 y #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 2 binary64)) (pow.f64 x #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 y x)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y y (*.f64 x (-.f64 x y))) (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #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 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (fma.f64 y y (*.f64 x (-.f64 x y))))
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (+.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (pow.f64 y #s(literal 2 binary64)) (*.f64 x y))))
(/.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) (-.f64 y x))
(/.f64 (neg.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (neg.f64 (fma.f64 y y (*.f64 x (-.f64 x y)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))) (neg.f64 (-.f64 y x)))
(/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (-.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 #s(literal 2 binary64)) (sqrt.f64 (fma.f64 x z (*.f64 y (+.f64 x z))))))
(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 #s(literal 2 binary64)) (sqrt.f64 (fma.f64 x z (*.f64 y (+.f64 x z))))))
(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))
(+.f64 (*.f64 y (+.f64 x z)) (*.f64 x z))
(+.f64 (*.f64 x z) (*.f64 y (+.f64 x z)))
(+.f64 (*.f64 y z) (+.f64 (*.f64 x z) (*.f64 x y)))
(+.f64 (*.f64 (*.f64 x z) #s(literal 1 binary64)) (*.f64 y (+.f64 x z)))
(+.f64 (+.f64 (*.f64 x z) (*.f64 x y)) (*.f64 y z))
(-.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 (*.f64 x y) z) (+.f64 x y)))))
(/.f64 (-.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (pow.f64 (*.f64 z (+.f64 x y)) #s(literal 2 binary64))) (-.f64 (*.f64 x y) (*.f64 z (+.f64 x y))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 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 (*.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 (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)))
(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))) (fma.f64 x y (neg.f64 (*.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 (*.f64 x y) z) (+.f64 x y)))))
(/.f64 (-.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (pow.f64 (*.f64 z (+.f64 x y)) #s(literal 2 binary64))) (-.f64 (*.f64 x y) (*.f64 z (+.f64 x y))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 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 (*.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 (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)))
(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)))

simplify577.0ms (4.2%)

Algorithm
egg-herbie
Rules
617×distribute-rgt-in
614×distribute-lft-in
385×fma-neg
367×*-commutative
303×+-commutative
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
098039313
1297138527
2739938527
Stop Event
node limit
Counts
571 → 566
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)
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(+.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))) (fma.f64 x y (neg.f64 (*.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 (*.f64 x y) z) (+.f64 x y)))))
(/.f64 (-.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (pow.f64 (*.f64 z (+.f64 x y)) #s(literal 2 binary64))) (-.f64 (*.f64 x y) (*.f64 z (+.f64 x y))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 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 (*.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 (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)))
(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 y (neg.f64 (-.f64 (neg.f64 z) (*.f64 z (/.f64 x 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 (neg.f64 (-.f64 (neg.f64 z) (*.f64 z (/.f64 x 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 (neg.f64 (-.f64 (neg.f64 z) (*.f64 z (/.f64 x 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) (fma.f64 #s(literal -1 binary64) z (/.f64 (*.f64 y (neg.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) (fma.f64 #s(literal -1 binary64) z (/.f64 (*.f64 y (neg.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) (fma.f64 #s(literal -1 binary64) z (/.f64 (*.f64 y (neg.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 y (neg.f64 (fma.f64 x (/.f64 #s(literal -1 binary64) 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 y (neg.f64 (fma.f64 x (/.f64 #s(literal -1 binary64) 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))))
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(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 x z (*.f64 y (+.f64 x z))))))
(fma.f64 z (+.f64 x y) (*.f64 x y))
(cbrt.f64 (pow.f64 (fma.f64 x z (*.f64 y (+.f64 x z))) #s(literal 3 binary64)))
(fma.f64 z (+.f64 x y) (*.f64 x y))
(expm1.f64 (log1p.f64 (fma.f64 x z (*.f64 y (+.f64 x z)))))
(expm1.f64 (log1p.f64 (fma.f64 z (+.f64 x y) (*.f64 x y))))
(log1p.f64 (expm1.f64 (fma.f64 x z (*.f64 y (+.f64 x z)))))
(fma.f64 z (+.f64 x y) (*.f64 x y))
(exp.f64 (log.f64 (fma.f64 x z (*.f64 y (+.f64 x z)))))
(fma.f64 z (+.f64 x y) (*.f64 x y))
(exp.f64 (*.f64 (log.f64 (fma.f64 x z (*.f64 y (+.f64 x z)))) #s(literal 1 binary64)))
(fma.f64 z (+.f64 x y) (*.f64 x y))
(fma.f64 x y (*.f64 z (+.f64 x y)))
(fma.f64 z (+.f64 x y) (*.f64 x y))
(fma.f64 x z (*.f64 y (+.f64 x z)))
(fma.f64 z (+.f64 x y) (*.f64 x y))
(fma.f64 y x (*.f64 z (+.f64 x y)))
(fma.f64 z (+.f64 x y) (*.f64 x y))
(fma.f64 z (+.f64 x y) (*.f64 x y))
(fma.f64 (+.f64 x y) z (*.f64 x y))
(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 z (+.f64 x y) (*.f64 x y))
(fma.f64 #s(literal 1 binary64) (*.f64 z (+.f64 x y)) (*.f64 x y))
(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 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 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 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 z (+.f64 x y) (*.f64 x y))

eval164.0ms (1.2%)

Compiler

Compiled 16591 to 2759 computations (83.4% saved)

prune133.0ms (1%)

Pruning

21 alts after pruning (21 fresh and 0 done)

PrunedKeptTotal
New54521566
Fresh000
Picked202
Done000
Total54721568
Accuracy
84.2%
Counts
568 → 21
Alt Table
Click to see full alt table
StatusAccuracyProgram
35.6%
(fma.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 z y)) (*.f64 x (*.f64 (+.f64 z y) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 z y))))))
71.4%
(pow.f64 (cbrt.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (fma.f64 x z (*.f64 y (+.f64 x z)))))) #s(literal 3 binary64))
37.5%
(*.f64 (neg.f64 z) (fma.f64 #s(literal 2 binary64) (*.f64 #s(literal -1 binary64) (sqrt.f64 (/.f64 (+.f64 x y) z))) (*.f64 x (*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 x y) (pow.f64 z #s(literal 3 binary64)))))))))
35.3%
(*.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)))))))
31.3%
(*.f64 y (fma.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 (+.f64 z x) y)) (*.f64 x (*.f64 z (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))) (+.f64 z x)))))))
27.6%
(*.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)))))))
72.3%
(*.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)))
72.0%
(*.f64 #s(literal 2 binary64) (*.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)))))))
36.9%
(*.f64 #s(literal 2 binary64) (*.f64 z (+.f64 (sqrt.f64 (/.f64 (+.f64 x y) z)) (*.f64 (*.f64 x (*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 x y) (pow.f64 z #s(literal 3 binary64))))))) #s(literal 1/2 binary64)))))
72.0%
(*.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (pow.f64 (cbrt.f64 (*.f64 x y)) #s(literal 3 binary64)) (*.f64 z (+.f64 y x)))))
48.0%
(*.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (*.f64 x y) (/.f64 (*.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) z) (-.f64 y x)))))
71.6%
(*.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (*.f64 x y) (*.f64 z (*.f64 (fma.f64 y (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) (neg.f64 x))))))
39.3%
(*.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (*.f64 x y) (*.f64 z x))))
58.8%
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 z (+.f64 y (+.f64 (*.f64 x (/.f64 y z)) x)))))
37.0%
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 z (+.f64 x y))))
35.0%
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 z y)))
3.8%
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 z x)))
61.1%
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 x (+.f64 (*.f64 z (/.f64 y x)) (+.f64 z y)))))
39.4%
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 x (+.f64 z y))))
37.8%
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 x y)))
49.3%
(*.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 794 to 522 computations (34.3% saved)

simplify197.0ms (1.4%)

Algorithm
egg-herbie
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 (*.f64 x (*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 x y) (pow.f64 z #s(literal 3 binary64))))))) #s(literal 1/2 binary64))
cost-diff0
(+.f64 x y)
cost-diff0
(/.f64 (+.f64 x y) z)
cost-diff0
(sqrt.f64 (/.f64 (+.f64 x y) z))
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 x y)
cost-diff128
(+.f64 (*.f64 x y) (*.f64 z x))
cost-diff128
(sqrt.f64 (+.f64 (*.f64 x y) (*.f64 z x)))
cost-diff128
(*.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (*.f64 x y) (*.f64 z x))))
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-diff0
(fma.f64 x z (*.f64 y (+.f64 x z)))
cost-diff0
(pow.f64 (fma.f64 x z (*.f64 y (+.f64 x z))) #s(literal 1/4 binary64))
cost-diff6528
(pow.f64 (pow.f64 (fma.f64 x z (*.f64 y (+.f64 x z))) #s(literal 1/4 binary64)) #s(literal 2 binary64))
cost-diff6528
(*.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)))
Rules
1167×associate-*r/
739×associate-/r*
666×associate-/l*
634×fma-define
444×distribute-lft-in
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
0491310
11051259
22411251
35711251
416091245
520631245
622771245
726511245
831551245
940261245
1055291245
1156291245
1256651245
1356651245
Stop Event
node limit
Calls
Call 1
Inputs
(*.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)))
#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))
(pow.f64 (fma.f64 x z (*.f64 y (+.f64 x z))) #s(literal 1/4 binary64))
(fma.f64 x z (*.f64 y (+.f64 x z)))
x
z
(*.f64 y (+.f64 x z))
y
(+.f64 x z)
#s(literal 1/4 binary64)
(*.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 (*.f64 x y) (*.f64 z x))))
#s(literal 2 binary64)
(sqrt.f64 (+.f64 (*.f64 x y) (*.f64 z x)))
(+.f64 (*.f64 x y) (*.f64 z x))
(*.f64 x y)
x
y
(*.f64 z 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)
(*.f64 #s(literal 2 binary64) (*.f64 z (+.f64 (sqrt.f64 (/.f64 (+.f64 x y) z)) (*.f64 (*.f64 x (*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 x y) (pow.f64 z #s(literal 3 binary64))))))) #s(literal 1/2 binary64)))))
#s(literal 2 binary64)
(*.f64 z (+.f64 (sqrt.f64 (/.f64 (+.f64 x y) z)) (*.f64 (*.f64 x (*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 x y) (pow.f64 z #s(literal 3 binary64))))))) #s(literal 1/2 binary64))))
z
(+.f64 (sqrt.f64 (/.f64 (+.f64 x y) z)) (*.f64 (*.f64 x (*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 x y) (pow.f64 z #s(literal 3 binary64))))))) #s(literal 1/2 binary64)))
(sqrt.f64 (/.f64 (+.f64 x y) z))
(/.f64 (+.f64 x y) z)
(+.f64 x y)
x
y
(*.f64 (*.f64 x (*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 x y) (pow.f64 z #s(literal 3 binary64))))))) #s(literal 1/2 binary64))
(*.f64 x (*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 x y) (pow.f64 z #s(literal 3 binary64)))))))
(*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 x y) (pow.f64 z #s(literal 3 binary64))))))
(sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 x y) (pow.f64 z #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (*.f64 (+.f64 x y) (pow.f64 z #s(literal 3 binary64))))
#s(literal 1 binary64)
(*.f64 (+.f64 x y) (pow.f64 z #s(literal 3 binary64)))
(pow.f64 z #s(literal 3 binary64))
#s(literal 3 binary64)
#s(literal 1/2 binary64)
Outputs
(*.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) (pow.f64 (fma.f64 x z (*.f64 y (+.f64 x z))) #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)))))
#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))
(pow.f64 (fma.f64 x z (*.f64 y (+.f64 x z))) #s(literal 1/2 binary64))
(sqrt.f64 (fma.f64 x y (*.f64 z (+.f64 x y))))
(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 y (*.f64 z (+.f64 x y))) #s(literal 1/4 binary64))
(fma.f64 x z (*.f64 y (+.f64 x z)))
(fma.f64 x y (*.f64 z (+.f64 x y)))
x
z
(*.f64 y (+.f64 x z))
y
(+.f64 x z)
#s(literal 1/4 binary64)
(*.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 (*.f64 x y) (*.f64 z x))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (fma.f64 x y (*.f64 x z))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 x (+.f64 y z))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 x (+.f64 z y))))
#s(literal 2 binary64)
(sqrt.f64 (+.f64 (*.f64 x y) (*.f64 z x)))
(sqrt.f64 (fma.f64 x y (*.f64 x z)))
(sqrt.f64 (*.f64 x (+.f64 y z)))
(sqrt.f64 (*.f64 x (+.f64 z y)))
(+.f64 (*.f64 x y) (*.f64 z x))
(fma.f64 x y (*.f64 x z))
(*.f64 x (+.f64 y z))
(*.f64 x (+.f64 z y))
(*.f64 x y)
x
y
(*.f64 z x)
(*.f64 x z)
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) (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) (pow.f64 (fma.f64 x z (*.f64 y (+.f64 x z))) #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)))))
#s(literal 2 binary64)
(sqrt.f64 (+.f64 (pow.f64 (cbrt.f64 (*.f64 x y)) #s(literal 3 binary64)) (*.f64 z (+.f64 y x))))
(pow.f64 (pow.f64 (fma.f64 x z (*.f64 y (+.f64 x z))) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(pow.f64 (fma.f64 x z (*.f64 y (+.f64 x z))) #s(literal 1/2 binary64))
(sqrt.f64 (fma.f64 x y (*.f64 z (+.f64 x y))))
(sqrt.f64 (fma.f64 x z (*.f64 y (+.f64 x z))))
(+.f64 (pow.f64 (cbrt.f64 (*.f64 x y)) #s(literal 3 binary64)) (*.f64 z (+.f64 y x)))
(fma.f64 x z (*.f64 y (+.f64 x z)))
(fma.f64 x y (*.f64 z (+.f64 x y)))
(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)
(*.f64 #s(literal 2 binary64) (*.f64 z (+.f64 (sqrt.f64 (/.f64 (+.f64 x y) z)) (*.f64 (*.f64 x (*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 x y) (pow.f64 z #s(literal 3 binary64))))))) #s(literal 1/2 binary64)))))
(*.f64 #s(literal 2 binary64) (*.f64 z (+.f64 (sqrt.f64 (/.f64 (+.f64 x y) z)) (*.f64 x (*.f64 (*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 x y) (pow.f64 z #s(literal 3 binary64)))))) #s(literal 1/2 binary64))))))
(*.f64 #s(literal 2 binary64) (*.f64 z (fma.f64 x (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 x y) (pow.f64 z #s(literal 3 binary64))))) (*.f64 y #s(literal 1/2 binary64))) (sqrt.f64 (/.f64 (+.f64 x y) z)))))
(*.f64 #s(literal 2 binary64) (*.f64 z (fma.f64 x (*.f64 y (*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 3 binary64))) (+.f64 x y))) #s(literal 1/2 binary64))) (sqrt.f64 (/.f64 (+.f64 x y) z)))))
(*.f64 z (fma.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 (+.f64 x y) z)) (*.f64 x (*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 x y) (pow.f64 z #s(literal 3 binary64)))))))))
(*.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 (+.f64 x y) (pow.f64 z #s(literal 3 binary64))))))))
#s(literal 2 binary64)
(*.f64 z (+.f64 (sqrt.f64 (/.f64 (+.f64 x y) z)) (*.f64 (*.f64 x (*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 x y) (pow.f64 z #s(literal 3 binary64))))))) #s(literal 1/2 binary64))))
(*.f64 z (+.f64 (sqrt.f64 (/.f64 (+.f64 x y) z)) (*.f64 x (*.f64 (*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 x y) (pow.f64 z #s(literal 3 binary64)))))) #s(literal 1/2 binary64)))))
(*.f64 z (fma.f64 x (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 x y) (pow.f64 z #s(literal 3 binary64))))) (*.f64 y #s(literal 1/2 binary64))) (sqrt.f64 (/.f64 (+.f64 x y) z))))
(*.f64 z (fma.f64 x (*.f64 y (*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 3 binary64))) (+.f64 x y))) #s(literal 1/2 binary64))) (sqrt.f64 (/.f64 (+.f64 x y) z))))
(*.f64 z (fma.f64 x (*.f64 y (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 x y) (pow.f64 z #s(literal 3 binary64))))) #s(literal 1/2 binary64))) (sqrt.f64 (/.f64 (+.f64 x y) z))))
z
(+.f64 (sqrt.f64 (/.f64 (+.f64 x y) z)) (*.f64 (*.f64 x (*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 x y) (pow.f64 z #s(literal 3 binary64))))))) #s(literal 1/2 binary64)))
(+.f64 (sqrt.f64 (/.f64 (+.f64 x y) z)) (*.f64 x (*.f64 (*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 x y) (pow.f64 z #s(literal 3 binary64)))))) #s(literal 1/2 binary64))))
(fma.f64 x (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 x y) (pow.f64 z #s(literal 3 binary64))))) (*.f64 y #s(literal 1/2 binary64))) (sqrt.f64 (/.f64 (+.f64 x y) z)))
(fma.f64 x (*.f64 y (*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 3 binary64))) (+.f64 x y))) #s(literal 1/2 binary64))) (sqrt.f64 (/.f64 (+.f64 x y) z)))
(fma.f64 x (*.f64 y (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 x y) (pow.f64 z #s(literal 3 binary64))))) #s(literal 1/2 binary64))) (sqrt.f64 (/.f64 (+.f64 x y) z)))
(sqrt.f64 (/.f64 (+.f64 x y) z))
(/.f64 (+.f64 x y) z)
(+.f64 x y)
x
y
(*.f64 (*.f64 x (*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 x y) (pow.f64 z #s(literal 3 binary64))))))) #s(literal 1/2 binary64))
(*.f64 x (*.f64 (*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 x y) (pow.f64 z #s(literal 3 binary64)))))) #s(literal 1/2 binary64)))
(*.f64 x (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 x y) (pow.f64 z #s(literal 3 binary64))))) (*.f64 y #s(literal 1/2 binary64))))
(*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 3 binary64))) (+.f64 x y))) (*.f64 (*.f64 y #s(literal 1/2 binary64)) x))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 x y) (pow.f64 z #s(literal 3 binary64))))) (*.f64 y (*.f64 x #s(literal 1/2 binary64))))
(*.f64 y (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 x y) (pow.f64 z #s(literal 3 binary64))))) (*.f64 x #s(literal 1/2 binary64))))
(*.f64 x (*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 x y) (pow.f64 z #s(literal 3 binary64)))))))
(*.f64 (*.f64 x y) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 3 binary64))) (+.f64 x y))))
(*.f64 (*.f64 x y) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 x y) (pow.f64 z #s(literal 3 binary64))))))
(*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 x y) (pow.f64 z #s(literal 3 binary64))))))
(*.f64 y (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 3 binary64))) (+.f64 x y))))
(sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 x y) (pow.f64 z #s(literal 3 binary64)))))
(sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 3 binary64))) (+.f64 x y)))
(/.f64 #s(literal 1 binary64) (*.f64 (+.f64 x y) (pow.f64 z #s(literal 3 binary64))))
(/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 3 binary64))) (+.f64 x y))
#s(literal 1 binary64)
(*.f64 (+.f64 x y) (pow.f64 z #s(literal 3 binary64)))
(pow.f64 z #s(literal 3 binary64))
#s(literal 3 binary64)
#s(literal 1/2 binary64)

localize275.0ms (2%)

Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
accuracy92.7%
(*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 x y) (pow.f64 z #s(literal 3 binary64))))))
accuracy91.5%
(*.f64 z (+.f64 (sqrt.f64 (/.f64 (+.f64 x y) z)) (*.f64 (*.f64 x (*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 x y) (pow.f64 z #s(literal 3 binary64))))))) #s(literal 1/2 binary64))))
accuracy85.7%
(sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 x y) (pow.f64 z #s(literal 3 binary64)))))
accuracy84.5%
(sqrt.f64 (/.f64 (+.f64 x y) z))
accuracy100.0%
(*.f64 z (+.f64 y x))
accuracy99.6%
(pow.f64 (cbrt.f64 (*.f64 x y)) #s(literal 3 binary64))
accuracy84.5%
(sqrt.f64 (+.f64 (pow.f64 (cbrt.f64 (*.f64 x y)) #s(literal 3 binary64)) (*.f64 z (+.f64 y x))))
accuracy83.5%
(cbrt.f64 (*.f64 x y))
accuracy100.0%
(*.f64 x y)
accuracy100.0%
(*.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (*.f64 x y) (*.f64 z x))))
accuracy100.0%
(+.f64 (*.f64 x y) (*.f64 z x))
accuracy87.7%
(sqrt.f64 (+.f64 (*.f64 x y) (*.f64 z x)))
accuracy100.0%
(*.f64 x y)
accuracy100.0%
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 x y)))
accuracy84.0%
(sqrt.f64 (*.f64 x y))
accuracy100.0%
(*.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)))
accuracy100.0%
(fma.f64 x z (*.f64 y (+.f64 x z)))
accuracy99.6%
(pow.f64 (pow.f64 (fma.f64 x z (*.f64 y (+.f64 x z))) #s(literal 1/4 binary64)) #s(literal 2 binary64))
accuracy84.2%
(pow.f64 (fma.f64 x z (*.f64 y (+.f64 x z))) #s(literal 1/4 binary64))
Results
75.0ms132×0valid
62.0ms124×0invalid
Compiler

Compiled 345 to 42 computations (87.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 89.0ms
ival-mult: 40.0ms (45.1% of total)
ival-pow: 22.0ms (24.8% of total)
ival-sqrt: 9.0ms (10.1% of total)
ival-add: 8.0ms (9% of total)
ival-div: 4.0ms (4.5% of total)
ival-fma: 3.0ms (3.4% of total)
ival-cbrt: 2.0ms (2.3% of total)
const: 1.0ms (1.1% of total)
backward-pass: 0.0ms (0% of total)

series269.0ms (2%)

Counts
20 → 586
Calls
Call 1
Inputs
#<alt (*.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)))>
#<alt (pow.f64 (pow.f64 (fma.f64 x z (*.f64 y (+.f64 x z))) #s(literal 1/4 binary64)) #s(literal 2 binary64))>
#<alt (pow.f64 (fma.f64 x z (*.f64 y (+.f64 x z))) #s(literal 1/4 binary64))>
#<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 (*.f64 x y) (*.f64 z x))))>
#<alt (sqrt.f64 (+.f64 (*.f64 x y) (*.f64 z x)))>
#<alt (+.f64 (*.f64 x y) (*.f64 z x))>
#<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 (sqrt.f64 (/.f64 (+.f64 x y) z))>
#<alt (/.f64 (+.f64 x y) z)>
#<alt (+.f64 x y)>
#<alt (*.f64 (*.f64 x (*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 x y) (pow.f64 z #s(literal 3 binary64))))))) #s(literal 1/2 binary64))>
#<alt (cbrt.f64 (*.f64 x y))>
#<alt (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 x y) (pow.f64 z #s(literal 3 binary64)))))>
#<alt (*.f64 z (+.f64 (sqrt.f64 (/.f64 (+.f64 x y) z)) (*.f64 (*.f64 x (*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 x y) (pow.f64 z #s(literal 3 binary64))))))) #s(literal 1/2 binary64))))>
#<alt (*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 x y) (pow.f64 z #s(literal 3 binary64))))))>
Outputs
#<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 (*.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 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1 binary64) y)))) (sqrt.f64 #s(literal -1 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal 2 binary64) (*.f64 (sqrt.f64 (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1 binary64) y)) z)) (sqrt.f64 #s(literal -1 binary64)))) (*.f64 (*.f64 x (*.f64 y (sqrt.f64 #s(literal -1 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 z #s(literal 3 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1 binary64) y)))))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 (pow.f64 y #s(literal 2 binary64)) (sqrt.f64 #s(literal -1 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 z #s(literal 5 binary64)) (pow.f64 (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1 binary64) y)) #s(literal 3 binary64))))))) (+.f64 (*.f64 #s(literal 2 binary64) (*.f64 (sqrt.f64 (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1 binary64) y)) z)) (sqrt.f64 #s(literal -1 binary64)))) (*.f64 (*.f64 x (*.f64 y (sqrt.f64 #s(literal -1 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 z #s(literal 3 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1 binary64) y))))))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 (pow.f64 y #s(literal 2 binary64)) (sqrt.f64 #s(literal -1 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 z #s(literal 5 binary64)) (pow.f64 (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1 binary64) y)) #s(literal 3 binary64))))))) (+.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (*.f64 (pow.f64 y #s(literal 3 binary64)) (sqrt.f64 #s(literal -1 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 z #s(literal 7 binary64)) (pow.f64 (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1 binary64) y)) #s(literal 5 binary64))))))) (+.f64 (*.f64 #s(literal 2 binary64) (*.f64 (sqrt.f64 (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1 binary64) y)) z)) (sqrt.f64 #s(literal -1 binary64)))) (*.f64 (*.f64 x (*.f64 y (sqrt.f64 #s(literal -1 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 z #s(literal 3 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1 binary64) y)))))))))))>
#<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)))))>
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#<alt (*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 y (+.f64 x z))))>
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#<alt (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (pow.f64 z #s(literal 3 binary64))))) y)>
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#<alt (sqrt.f64 (/.f64 y (pow.f64 z #s(literal 3 binary64))))>
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#<alt (sqrt.f64 (/.f64 y (pow.f64 z #s(literal 3 binary64))))>
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Calls

165 calls:

TimeVariablePointExpression
60.0ms
y
@-inf
(/ (+ x y) z)
36.0ms
y
@-inf
(* 2 (sqrt (+ (pow (cbrt (* x y)) 3) (* z (+ y x)))))
5.0ms
z
@inf
(* 2 (sqrt (+ (* x y) (* z x))))
5.0ms
x
@0
(cbrt (* x y))
5.0ms
x
@inf
(* z (+ (sqrt (/ (+ x y) z)) (* (* x (* y (sqrt (/ 1 (* (+ x y) (pow z 3)))))) 1/2)))

rewrite203.0ms (1.5%)

Algorithm
batch-egg-rewrite
Rules
343×log1p-expm1-u
343×expm1-log1p-u
337×add-cube-cbrt
334×add-exp-log
332×add-log-exp
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
048741
1820705
Stop Event
node limit
Counts
20 → 399
Calls
Call 1
Inputs
(*.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)))
(pow.f64 (pow.f64 (fma.f64 x z (*.f64 y (+.f64 x z))) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(pow.f64 (fma.f64 x z (*.f64 y (+.f64 x z))) #s(literal 1/4 binary64))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 x y)))
(sqrt.f64 (*.f64 x y))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (*.f64 x y) (*.f64 z x))))
(sqrt.f64 (+.f64 (*.f64 x y) (*.f64 z x)))
(+.f64 (*.f64 x y) (*.f64 z x))
(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)))
(sqrt.f64 (/.f64 (+.f64 x y) z))
(/.f64 (+.f64 x y) z)
(+.f64 x y)
(*.f64 (*.f64 x (*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 x y) (pow.f64 z #s(literal 3 binary64))))))) #s(literal 1/2 binary64))
(cbrt.f64 (*.f64 x y))
(sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 x y) (pow.f64 z #s(literal 3 binary64)))))
(*.f64 z (+.f64 (sqrt.f64 (/.f64 (+.f64 x y) z)) (*.f64 (*.f64 x (*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 x y) (pow.f64 z #s(literal 3 binary64))))))) #s(literal 1/2 binary64))))
(*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 x y) (pow.f64 z #s(literal 3 binary64))))))
Outputs
(-.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))
(log.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (sqrt.f64 (fma.f64 x z (*.f64 y (+.f64 x z))))))
(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 (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 #s(literal 1 binary64) (sqrt.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 #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))))))
(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 (sqrt.f64 (fma.f64 x z (*.f64 y (+.f64 x z)))) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 (fma.f64 x z (*.f64 y (+.f64 x z))) #s(literal 3/4 binary64)) (pow.f64 (fma.f64 x z (*.f64 y (+.f64 x z))) #s(literal 3/4 binary64))))
(expm1.f64 (log1p.f64 (sqrt.f64 (fma.f64 x z (*.f64 y (+.f64 x z))))))
(hypot.f64 (sqrt.f64 (*.f64 x z)) (sqrt.f64 (*.f64 y (+.f64 x z))))
(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 (pow.f64 (fma.f64 x z (*.f64 y (+.f64 x z))) #s(literal 1/4 binary64)))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 x z (*.f64 y (+.f64 x z))) #s(literal 1/4 binary64)))
(*.f64 (cbrt.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 1/4 binary64))))
(*.f64 (pow.f64 (fma.f64 x z (*.f64 y (+.f64 x z))) #s(literal 1/8 binary64)) (pow.f64 (fma.f64 x z (*.f64 y (+.f64 x z))) #s(literal 1/8 binary64)))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/4 binary64)) (pow.f64 (fma.f64 x z (*.f64 y (+.f64 x z))) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (fma.f64 x z (*.f64 y (+.f64 x z)))) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (pow.f64 (cbrt.f64 (fma.f64 x z (*.f64 y (+.f64 x z)))) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (fma.f64 x z (*.f64 y (+.f64 x z)))) #s(literal 1/4 binary64)) (pow.f64 (sqrt.f64 (fma.f64 x z (*.f64 y (+.f64 x z)))) #s(literal 1/4 binary64)))
(*.f64 (sqrt.f64 (cbrt.f64 (fma.f64 x z (*.f64 y (+.f64 x z))))) (sqrt.f64 (cbrt.f64 (sqrt.f64 (fma.f64 x z (*.f64 y (+.f64 x z)))))))
(sqrt.f64 (sqrt.f64 (fma.f64 x z (*.f64 y (+.f64 x z)))))
(log.f64 (exp.f64 (pow.f64 (fma.f64 x z (*.f64 y (+.f64 x z))) #s(literal 1/4 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (pow.f64 (fma.f64 x z (*.f64 y (+.f64 x z))) #s(literal 1/4 binary64)))))
(cbrt.f64 (pow.f64 (fma.f64 x z (*.f64 y (+.f64 x z))) #s(literal 3/4 binary64)))
(expm1.f64 (log1p.f64 (pow.f64 (fma.f64 x z (*.f64 y (+.f64 x z))) #s(literal 1/4 binary64))))
(log1p.f64 (expm1.f64 (pow.f64 (fma.f64 x z (*.f64 y (+.f64 x z))) #s(literal 1/4 binary64))))
(exp.f64 (*.f64 #s(literal 1/4 binary64) (log.f64 (fma.f64 x z (*.f64 y (+.f64 x z))))))
(exp.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (log.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 (*.f64 x y))))) #s(literal 1 binary64))
(pow.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 x y))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 x y)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 x y))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 x y)))) #s(literal 2 binary64))
(log.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (sqrt.f64 (*.f64 x y))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 x y))))))
(cbrt.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 x y))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 x y)))))
(log1p.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 x y)))))
(exp.f64 (log.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 x y)))))
(exp.f64 (*.f64 (log.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 x y)))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (*.f64 x y)))) #s(literal 1 binary64))
(*.f64 (cbrt.f64 (*.f64 x y)) (cbrt.f64 (sqrt.f64 (*.f64 x y))))
(*.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 x y)))
(*.f64 (sqrt.f64 x) (sqrt.f64 y))
(*.f64 (sqrt.f64 y) (sqrt.f64 x))
(*.f64 (pow.f64 (*.f64 x y) #s(literal 1/4 binary64)) (pow.f64 (*.f64 x y) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 (*.f64 x y) #s(literal 1/6 binary64)) (pow.f64 (pow.f64 (cbrt.f64 (*.f64 x y)) #s(literal 2 binary64)) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (*.f64 x y) #s(literal 1/6 binary64)) (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 x y)) #s(literal 2 binary64))))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/2 binary64)) (sqrt.f64 (*.f64 x y)))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 3/2 binary64)) (sqrt.f64 (*.f64 x y)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (*.f64 x y)) #s(literal 2 binary64)) #s(literal 1/2 binary64)) (pow.f64 (*.f64 x y) #s(literal 1/6 binary64)))
(*.f64 (pow.f64 (cbrt.f64 x) #s(literal 3/2 binary64)) (pow.f64 (cbrt.f64 y) #s(literal 3/2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (*.f64 x y)) #s(literal 2 binary64))) #s(literal 3/2 binary64)) (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 x y))) #s(literal 3/2 binary64)))
(*.f64 (pow.f64 (pow.f64 (*.f64 x y) #s(literal 1/6 binary64)) #s(literal 3/2 binary64)) (pow.f64 (pow.f64 (*.f64 x y) #s(literal 1/6 binary64)) #s(literal 3/2 binary64)))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 x y)) #s(literal 2 binary64))) (pow.f64 (*.f64 x y) #s(literal 1/6 binary64)))
(pow.f64 (*.f64 x y) #s(literal 1/2 binary64))
(pow.f64 (sqrt.f64 (*.f64 x y)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 x y)) #s(literal 3/2 binary64))
(pow.f64 (cbrt.f64 (sqrt.f64 (*.f64 x y))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 x y) #s(literal 3/2 binary64)) #s(literal 1/3 binary64))
(pow.f64 (pow.f64 (*.f64 x y) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(log.f64 (exp.f64 (sqrt.f64 (*.f64 x y))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (sqrt.f64 (*.f64 x y)))))
(cbrt.f64 (pow.f64 (*.f64 x y) #s(literal 3/2 binary64)))
(expm1.f64 (log1p.f64 (sqrt.f64 (*.f64 x y))))
(log1p.f64 (expm1.f64 (sqrt.f64 (*.f64 x y))))
(exp.f64 (log.f64 (sqrt.f64 (*.f64 x y))))
(exp.f64 (*.f64 (log.f64 (*.f64 x y)) #s(literal 1/2 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 x y))) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 x y))) #s(literal 3/2 binary64)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (fma.f64 x y (*.f64 x z)))))) #s(literal 1 binary64))
(pow.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (fma.f64 x y (*.f64 x z)))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (fma.f64 x y (*.f64 x z))))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (fma.f64 x 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 y (*.f64 x z))))) #s(literal 2 binary64))
(log.f64 (pow.f64 (exp.f64 (sqrt.f64 (fma.f64 x 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 y (*.f64 x z)))))))
(cbrt.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (fma.f64 x y (*.f64 x z)))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (fma.f64 x y (*.f64 x z))))))
(log1p.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (fma.f64 x y (*.f64 x z))))))
(exp.f64 (log.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (fma.f64 x y (*.f64 x z))))))
(exp.f64 (*.f64 (log.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (fma.f64 x y (*.f64 x z))))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (fma.f64 x y (*.f64 x z))))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x y (*.f64 x z))))
(*.f64 (cbrt.f64 (fma.f64 x y (*.f64 x z))) (cbrt.f64 (sqrt.f64 (fma.f64 x y (*.f64 x z)))))
(*.f64 (pow.f64 (fma.f64 x y (*.f64 x z)) #s(literal 1/4 binary64)) (pow.f64 (fma.f64 x 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 y (*.f64 x z))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (fma.f64 x y (*.f64 x z))) #s(literal 2 binary64)) #s(literal 1/2 binary64)) (pow.f64 (cbrt.f64 (fma.f64 x y (*.f64 x z))) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 x y (*.f64 x z))) #s(literal 2 binary64))) (sqrt.f64 (cbrt.f64 (fma.f64 x y (*.f64 x z)))))
(/.f64 (sqrt.f64 (-.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (pow.f64 (*.f64 x z) #s(literal 2 binary64)))) (sqrt.f64 (-.f64 (*.f64 x y) (*.f64 x z))))
(/.f64 (sqrt.f64 (+.f64 (pow.f64 (*.f64 x y) #s(literal 3 binary64)) (pow.f64 (*.f64 x z) #s(literal 3 binary64)))) (sqrt.f64 (+.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 x z) #s(literal 2 binary64)) (*.f64 (*.f64 x y) (*.f64 x z))))))
(pow.f64 (fma.f64 x y (*.f64 x z)) #s(literal 1/2 binary64))
(pow.f64 (sqrt.f64 (fma.f64 x y (*.f64 x z))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (sqrt.f64 (fma.f64 x y (*.f64 x z)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (fma.f64 x y (*.f64 x z)) #s(literal 3/2 binary64)) #s(literal 1/3 binary64))
(pow.f64 (pow.f64 (fma.f64 x y (*.f64 x z)) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(log.f64 (exp.f64 (sqrt.f64 (fma.f64 x y (*.f64 x z)))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (sqrt.f64 (fma.f64 x y (*.f64 x z))))))
(cbrt.f64 (pow.f64 (fma.f64 x y (*.f64 x z)) #s(literal 3/2 binary64)))
(expm1.f64 (log1p.f64 (sqrt.f64 (fma.f64 x y (*.f64 x z)))))
(hypot.f64 (sqrt.f64 (*.f64 x y)) (sqrt.f64 (*.f64 x z)))
(hypot.f64 (sqrt.f64 (*.f64 x z)) (sqrt.f64 (*.f64 x y)))
(log1p.f64 (expm1.f64 (sqrt.f64 (fma.f64 x y (*.f64 x z)))))
(exp.f64 (log.f64 (sqrt.f64 (fma.f64 x y (*.f64 x z)))))
(exp.f64 (*.f64 (log.f64 (fma.f64 x y (*.f64 x z))) #s(literal 1/2 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (fma.f64 x y (*.f64 x z)))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 x y (*.f64 x z)))) #s(literal 1 binary64))
(*.f64 (sqrt.f64 (fma.f64 x y (*.f64 x z))) (sqrt.f64 (fma.f64 x y (*.f64 x z))))
(*.f64 #s(literal 1 binary64) (fma.f64 x y (*.f64 x z)))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 x y (*.f64 x z))) #s(literal 2 binary64)) (cbrt.f64 (fma.f64 x y (*.f64 x z))))
(/.f64 (-.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (pow.f64 (*.f64 x z) #s(literal 2 binary64))) (-.f64 (*.f64 x y) (*.f64 x z)))
(/.f64 (+.f64 (pow.f64 (*.f64 x y) #s(literal 3 binary64)) (pow.f64 (*.f64 x z) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 x z) #s(literal 2 binary64)) (*.f64 (*.f64 x y) (*.f64 x z)))))
(pow.f64 (fma.f64 x y (*.f64 x z)) #s(literal 1 binary64))
(pow.f64 (sqrt.f64 (fma.f64 x y (*.f64 x z))) #s(literal 2 binary64))
(pow.f64 (cbrt.f64 (fma.f64 x y (*.f64 x z))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (fma.f64 x y (*.f64 x z)) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (fma.f64 x y (*.f64 x z)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(log.f64 (exp.f64 (fma.f64 x y (*.f64 x z))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 x y (*.f64 x z)))))
(cbrt.f64 (pow.f64 (fma.f64 x y (*.f64 x z)) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 (fma.f64 x y (*.f64 x z)) #s(literal 3/2 binary64)) (pow.f64 (fma.f64 x y (*.f64 x z)) #s(literal 3/2 binary64))))
(expm1.f64 (log1p.f64 (fma.f64 x y (*.f64 x z))))
(log1p.f64 (expm1.f64 (fma.f64 x y (*.f64 x z))))
(exp.f64 (log.f64 (fma.f64 x y (*.f64 x z))))
(exp.f64 (*.f64 (log.f64 (fma.f64 x y (*.f64 x z))) #s(literal 1 binary64)))
(fma.f64 x z (*.f64 x y))
(fma.f64 x y (*.f64 x z))
(fma.f64 z x (*.f64 x y))
(fma.f64 y x (*.f64 x z))
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(*.f64 (cbrt.f64 (sqrt.f64 (*.f64 x y))) (cbrt.f64 (sqrt.f64 (*.f64 x y))))
(*.f64 (cbrt.f64 (cbrt.f64 (*.f64 x y))) (cbrt.f64 (pow.f64 (cbrt.f64 (*.f64 x y)) #s(literal 2 binary64))))
(*.f64 (cbrt.f64 (cbrt.f64 (*.f64 x y))) (pow.f64 (pow.f64 (cbrt.f64 (*.f64 x y)) #s(literal 2 binary64)) #s(literal 1/3 binary64)))
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (*.f64 x y)) #s(literal 2 binary64))) (cbrt.f64 (cbrt.f64 (*.f64 x y))))
(*.f64 (pow.f64 (*.f64 x y) #s(literal 1/6 binary64)) (pow.f64 (*.f64 x y) #s(literal 1/6 binary64)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (*.f64 x y)) #s(literal 2 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (cbrt.f64 (*.f64 x y))))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/3 binary64)) (cbrt.f64 (*.f64 x y)))
(pow.f64 (*.f64 x y) #s(literal 1/3 binary64))
(pow.f64 (cbrt.f64 (*.f64 x y)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (sqrt.f64 (*.f64 x y))) #s(literal 2 binary64))
(pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 x y))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 x y) #s(literal 1/6 binary64)) #s(literal 2 binary64))
(log.f64 (exp.f64 (cbrt.f64 (*.f64 x y))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (cbrt.f64 (*.f64 x y)))))
(expm1.f64 (log1p.f64 (cbrt.f64 (*.f64 x y))))
(log1p.f64 (expm1.f64 (cbrt.f64 (*.f64 x y))))
(exp.f64 (log.f64 (cbrt.f64 (*.f64 x y))))
(exp.f64 (*.f64 (log.f64 (*.f64 x y)) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 x y))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (*.f64 (+.f64 x y) (pow.f64 z #s(literal 3 binary64))) #s(literal -1/2 binary64)))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (+.f64 x y) (pow.f64 z #s(literal 3 binary64))) #s(literal -1/2 binary64)))
(*.f64 (/.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 x y))) z) (cbrt.f64 (pow.f64 (*.f64 (+.f64 x y) (pow.f64 z #s(literal 3 binary64))) #s(literal -1/2 binary64))))
(*.f64 (sqrt.f64 (pow.f64 (*.f64 (+.f64 x y) (pow.f64 z #s(literal 3 binary64))) #s(literal -1/2 binary64))) (sqrt.f64 (pow.f64 (*.f64 (+.f64 x y) (pow.f64 z #s(literal 3 binary64))) #s(literal -1/2 binary64))))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/2 binary64)) (pow.f64 (*.f64 (+.f64 x y) (pow.f64 z #s(literal 3 binary64))) #s(literal -1/2 binary64)))
(*.f64 (pow.f64 (pow.f64 (/.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 x y))) z) #s(literal 2 binary64)) #s(literal 1/2 binary64)) (pow.f64 (/.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 x y))) z) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 (pow.f64 (/.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 x y))) z) #s(literal 2 binary64))) (sqrt.f64 (/.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 x y))) z)))
(/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (+.f64 x y) (pow.f64 z #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 (*.f64 (+.f64 x y) (pow.f64 z #s(literal 3 binary64))) #s(literal 1 binary64))))
(/.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (neg.f64 (*.f64 (+.f64 x y) (pow.f64 z #s(literal 3 binary64))))))
(/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 x y))) (pow.f64 z #s(literal 3/2 binary64)))
(pow.f64 (*.f64 (+.f64 x y) (pow.f64 z #s(literal 3 binary64))) #s(literal -1/2 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 x y) (pow.f64 z #s(literal 3 binary64)))) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (*.f64 (+.f64 x y) (pow.f64 z #s(literal 3 binary64))) #s(literal -1/2 binary64)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (pow.f64 (*.f64 (+.f64 x y) (pow.f64 z #s(literal 3 binary64))) #s(literal -1/2 binary64))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 x y) (pow.f64 z #s(literal 3 binary64)))) #s(literal 3/2 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 (+.f64 x y) (pow.f64 z #s(literal 3 binary64)))) #s(literal -1 binary64))
(pow.f64 (sqrt.f64 (pow.f64 (*.f64 (+.f64 x y) (pow.f64 z #s(literal 3 binary64))) #s(literal -1/2 binary64))) #s(literal 2 binary64))
(log.f64 (exp.f64 (pow.f64 (*.f64 (+.f64 x y) (pow.f64 z #s(literal 3 binary64))) #s(literal -1/2 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (pow.f64 (*.f64 (+.f64 x y) (pow.f64 z #s(literal 3 binary64))) #s(literal -1/2 binary64)))))
(cbrt.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 x y) (pow.f64 z #s(literal 3 binary64)))) #s(literal 3/2 binary64)))
(expm1.f64 (log1p.f64 (pow.f64 (*.f64 (+.f64 x y) (pow.f64 z #s(literal 3 binary64))) #s(literal -1/2 binary64))))
(log1p.f64 (expm1.f64 (pow.f64 (*.f64 (+.f64 x y) (pow.f64 z #s(literal 3 binary64))) #s(literal -1/2 binary64))))
(exp.f64 (log.f64 (pow.f64 (*.f64 (+.f64 x y) (pow.f64 z #s(literal 3 binary64))) #s(literal -1/2 binary64))))
(exp.f64 (*.f64 (neg.f64 (log.f64 (*.f64 (+.f64 x y) (pow.f64 z #s(literal 3 binary64))))) #s(literal 1/2 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (*.f64 (+.f64 x y) (pow.f64 z #s(literal 3 binary64))) #s(literal -1/2 binary64))) #s(literal 1 binary64)))
(+.f64 (*.f64 z (sqrt.f64 (/.f64 (+.f64 x y) z))) (*.f64 z (*.f64 (*.f64 (*.f64 x y) (pow.f64 (*.f64 (+.f64 x y) (pow.f64 z #s(literal 3 binary64))) #s(literal -1/2 binary64))) #s(literal 1/2 binary64))))
(+.f64 (*.f64 (sqrt.f64 (/.f64 (+.f64 x y) z)) z) (*.f64 (*.f64 (*.f64 (*.f64 x y) (pow.f64 (*.f64 (+.f64 x y) (pow.f64 z #s(literal 3 binary64))) #s(literal -1/2 binary64))) #s(literal 1/2 binary64)) z))
(-.f64 (exp.f64 (log1p.f64 (*.f64 z (fma.f64 (*.f64 (*.f64 x y) (pow.f64 (*.f64 (+.f64 x y) (pow.f64 z #s(literal 3 binary64))) #s(literal -1/2 binary64))) #s(literal 1/2 binary64) (sqrt.f64 (/.f64 (+.f64 x y) z)))))) #s(literal 1 binary64))
(pow.f64 (*.f64 z (fma.f64 (*.f64 (*.f64 x y) (pow.f64 (*.f64 (+.f64 x y) (pow.f64 z #s(literal 3 binary64))) #s(literal -1/2 binary64))) #s(literal 1/2 binary64) (sqrt.f64 (/.f64 (+.f64 x y) z)))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 z (fma.f64 (*.f64 (*.f64 x y) (pow.f64 (*.f64 (+.f64 x y) (pow.f64 z #s(literal 3 binary64))) #s(literal -1/2 binary64))) #s(literal 1/2 binary64) (sqrt.f64 (/.f64 (+.f64 x y) z))))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 z (fma.f64 (*.f64 (*.f64 x y) (pow.f64 (*.f64 (+.f64 x y) (pow.f64 z #s(literal 3 binary64))) #s(literal -1/2 binary64))) #s(literal 1/2 binary64) (sqrt.f64 (/.f64 (+.f64 x y) z)))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 z (fma.f64 (*.f64 (*.f64 x y) (pow.f64 (*.f64 (+.f64 x y) (pow.f64 z #s(literal 3 binary64))) #s(literal -1/2 binary64))) #s(literal 1/2 binary64) (sqrt.f64 (/.f64 (+.f64 x y) z))))) #s(literal 2 binary64))
(log.f64 (pow.f64 (exp.f64 (fma.f64 (*.f64 (*.f64 x y) (pow.f64 (*.f64 (+.f64 x y) (pow.f64 z #s(literal 3 binary64))) #s(literal -1/2 binary64))) #s(literal 1/2 binary64) (sqrt.f64 (/.f64 (+.f64 x y) z)))) z))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 z (fma.f64 (*.f64 (*.f64 x y) (pow.f64 (*.f64 (+.f64 x y) (pow.f64 z #s(literal 3 binary64))) #s(literal -1/2 binary64))) #s(literal 1/2 binary64) (sqrt.f64 (/.f64 (+.f64 x y) z)))))))
(cbrt.f64 (pow.f64 (*.f64 z (fma.f64 (*.f64 (*.f64 x y) (pow.f64 (*.f64 (+.f64 x y) (pow.f64 z #s(literal 3 binary64))) #s(literal -1/2 binary64))) #s(literal 1/2 binary64) (sqrt.f64 (/.f64 (+.f64 x y) z)))) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 (fma.f64 (*.f64 (*.f64 x y) (pow.f64 (*.f64 (+.f64 x y) (pow.f64 z #s(literal 3 binary64))) #s(literal -1/2 binary64))) #s(literal 1/2 binary64) (sqrt.f64 (/.f64 (+.f64 x y) z))) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (fma.f64 (*.f64 (*.f64 x y) (pow.f64 (*.f64 (+.f64 x y) (pow.f64 z #s(literal 3 binary64))) #s(literal -1/2 binary64))) #s(literal 1/2 binary64) (sqrt.f64 (/.f64 (+.f64 x y) z))) #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 z (fma.f64 (*.f64 (*.f64 x y) (pow.f64 (*.f64 (+.f64 x y) (pow.f64 z #s(literal 3 binary64))) #s(literal -1/2 binary64))) #s(literal 1/2 binary64) (sqrt.f64 (/.f64 (+.f64 x y) z))))))
(log1p.f64 (expm1.f64 (*.f64 z (fma.f64 (*.f64 (*.f64 x y) (pow.f64 (*.f64 (+.f64 x y) (pow.f64 z #s(literal 3 binary64))) #s(literal -1/2 binary64))) #s(literal 1/2 binary64) (sqrt.f64 (/.f64 (+.f64 x y) z))))))
(exp.f64 (log.f64 (*.f64 z (fma.f64 (*.f64 (*.f64 x y) (pow.f64 (*.f64 (+.f64 x y) (pow.f64 z #s(literal 3 binary64))) #s(literal -1/2 binary64))) #s(literal 1/2 binary64) (sqrt.f64 (/.f64 (+.f64 x y) z))))))
(exp.f64 (*.f64 (log.f64 (*.f64 z (fma.f64 (*.f64 (*.f64 x y) (pow.f64 (*.f64 (+.f64 x y) (pow.f64 z #s(literal 3 binary64))) #s(literal -1/2 binary64))) #s(literal 1/2 binary64) (sqrt.f64 (/.f64 (+.f64 x y) z))))) #s(literal 1 binary64)))
(fma.f64 z (sqrt.f64 (/.f64 (+.f64 x y) z)) (*.f64 z (*.f64 (*.f64 (*.f64 x y) (pow.f64 (*.f64 (+.f64 x y) (pow.f64 z #s(literal 3 binary64))) #s(literal -1/2 binary64))) #s(literal 1/2 binary64))))
(fma.f64 (sqrt.f64 (/.f64 (+.f64 x y) z)) z (*.f64 (*.f64 (*.f64 (*.f64 x y) (pow.f64 (*.f64 (+.f64 x y) (pow.f64 z #s(literal 3 binary64))) #s(literal -1/2 binary64))) #s(literal 1/2 binary64)) z))
(-.f64 (exp.f64 (log1p.f64 (*.f64 y (pow.f64 (*.f64 (+.f64 x y) (pow.f64 z #s(literal 3 binary64))) #s(literal -1/2 binary64))))) #s(literal 1 binary64))
(pow.f64 (*.f64 y (pow.f64 (*.f64 (+.f64 x y) (pow.f64 z #s(literal 3 binary64))) #s(literal -1/2 binary64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 y (pow.f64 (*.f64 (+.f64 x y) (pow.f64 z #s(literal 3 binary64))) #s(literal -1/2 binary64)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 y (pow.f64 (*.f64 (+.f64 x y) (pow.f64 z #s(literal 3 binary64))) #s(literal -1/2 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 y (pow.f64 (*.f64 (+.f64 x y) (pow.f64 z #s(literal 3 binary64))) #s(literal -1/2 binary64)))) #s(literal 2 binary64))
(log.f64 (pow.f64 (exp.f64 y) (pow.f64 (*.f64 (+.f64 x y) (pow.f64 z #s(literal 3 binary64))) #s(literal -1/2 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 y (pow.f64 (*.f64 (+.f64 x y) (pow.f64 z #s(literal 3 binary64))) #s(literal -1/2 binary64))))))
(cbrt.f64 (pow.f64 (*.f64 y (pow.f64 (*.f64 (+.f64 x y) (pow.f64 z #s(literal 3 binary64))) #s(literal -1/2 binary64))) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 x y) (pow.f64 z #s(literal 3 binary64)))) #s(literal 3/2 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 x y) (pow.f64 z #s(literal 3 binary64)))) #s(literal 3/2 binary64)) (pow.f64 y #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 y (pow.f64 (*.f64 (+.f64 x y) (pow.f64 z #s(literal 3 binary64))) #s(literal -1/2 binary64)))))
(log1p.f64 (expm1.f64 (*.f64 y (pow.f64 (*.f64 (+.f64 x y) (pow.f64 z #s(literal 3 binary64))) #s(literal -1/2 binary64)))))
(exp.f64 (log.f64 (*.f64 y (pow.f64 (*.f64 (+.f64 x y) (pow.f64 z #s(literal 3 binary64))) #s(literal -1/2 binary64)))))
(exp.f64 (*.f64 (log.f64 (*.f64 y (pow.f64 (*.f64 (+.f64 x y) (pow.f64 z #s(literal 3 binary64))) #s(literal -1/2 binary64)))) #s(literal 1 binary64)))

simplify830.0ms (6%)

Algorithm
egg-herbie
Rules
492×+-commutative
372×associate-*r*
351×fma-define
292×distribute-rgt-in
291×distribute-lft-in
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0253375956
1674473784
Stop Event
node limit
Counts
985 → 1260
Calls
Call 1
Inputs
(*.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 y)))
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(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 y) #s(literal 2 binary64)) (cbrt.f64 y) x)
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (cbrt.f64 x) y)
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) y)
(fma.f64 (sqrt.f64 y) (sqrt.f64 y) x)
(-.f64 (exp.f64 (log1p.f64 (*.f64 (*.f64 (*.f64 x y) (pow.f64 (*.f64 (+.f64 x y) (pow.f64 z #s(literal 3 binary64))) #s(literal -1/2 binary64))) #s(literal 1/2 binary64)))) #s(literal 1 binary64))
(pow.f64 (*.f64 (*.f64 (*.f64 x y) (pow.f64 (*.f64 (+.f64 x y) (pow.f64 z #s(literal 3 binary64))) #s(literal -1/2 binary64))) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 (*.f64 (*.f64 x y) (pow.f64 (*.f64 (+.f64 x y) (pow.f64 z #s(literal 3 binary64))) #s(literal -1/2 binary64))) #s(literal 1/2 binary64))) #s(literal 3 binary64))
(pow.f64 (*.f64 (pow.f64 (*.f64 (*.f64 x y) (pow.f64 (*.f64 (+.f64 x y) (pow.f64 z #s(literal 3 binary64))) #s(literal -1/2 binary64))) #s(literal 3 binary64)) #s(literal 1/8 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 (*.f64 (*.f64 x y) (pow.f64 (*.f64 (+.f64 x y) (pow.f64 z #s(literal 3 binary64))) #s(literal -1/2 binary64))) #s(literal 1/2 binary64))) #s(literal 2 binary64))
(log.f64 (pow.f64 (pow.f64 (pow.f64 (exp.f64 y) (pow.f64 (*.f64 (+.f64 x y) (pow.f64 z #s(literal 3 binary64))) #s(literal -1/2 binary64))) x) #s(literal 1/2 binary64)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (*.f64 (*.f64 x y) (pow.f64 (*.f64 (+.f64 x y) (pow.f64 z #s(literal 3 binary64))) #s(literal -1/2 binary64))) #s(literal 1/2 binary64)))))
(cbrt.f64 (*.f64 (pow.f64 (*.f64 (*.f64 x y) (pow.f64 (*.f64 (+.f64 x y) (pow.f64 z #s(literal 3 binary64))) #s(literal -1/2 binary64))) #s(literal 3 binary64)) #s(literal 1/8 binary64)))
(expm1.f64 (log1p.f64 (*.f64 (*.f64 (*.f64 x y) (pow.f64 (*.f64 (+.f64 x y) (pow.f64 z #s(literal 3 binary64))) #s(literal -1/2 binary64))) #s(literal 1/2 binary64))))
(log1p.f64 (expm1.f64 (*.f64 (*.f64 (*.f64 x y) (pow.f64 (*.f64 (+.f64 x y) (pow.f64 z #s(literal 3 binary64))) #s(literal -1/2 binary64))) #s(literal 1/2 binary64))))
(exp.f64 (log.f64 (*.f64 (*.f64 (*.f64 x y) (pow.f64 (*.f64 (+.f64 x y) (pow.f64 z #s(literal 3 binary64))) #s(literal -1/2 binary64))) #s(literal 1/2 binary64))))
(exp.f64 (*.f64 (log.f64 (*.f64 (*.f64 (*.f64 x y) (pow.f64 (*.f64 (+.f64 x y) (pow.f64 z #s(literal 3 binary64))) #s(literal -1/2 binary64))) #s(literal 1/2 binary64))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (cbrt.f64 (*.f64 x y)))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (cbrt.f64 (*.f64 x y)))
(*.f64 (cbrt.f64 x) (cbrt.f64 y))
(*.f64 (cbrt.f64 y) (cbrt.f64 x))
(*.f64 (cbrt.f64 (sqrt.f64 (*.f64 x y))) (cbrt.f64 (sqrt.f64 (*.f64 x y))))
(*.f64 (cbrt.f64 (cbrt.f64 (*.f64 x y))) (cbrt.f64 (pow.f64 (cbrt.f64 (*.f64 x y)) #s(literal 2 binary64))))
(*.f64 (cbrt.f64 (cbrt.f64 (*.f64 x y))) (pow.f64 (pow.f64 (cbrt.f64 (*.f64 x y)) #s(literal 2 binary64)) #s(literal 1/3 binary64)))
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (*.f64 x y)) #s(literal 2 binary64))) (cbrt.f64 (cbrt.f64 (*.f64 x y))))
(*.f64 (pow.f64 (*.f64 x y) #s(literal 1/6 binary64)) (pow.f64 (*.f64 x y) #s(literal 1/6 binary64)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (*.f64 x y)) #s(literal 2 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (cbrt.f64 (*.f64 x y))))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/3 binary64)) (cbrt.f64 (*.f64 x y)))
(pow.f64 (*.f64 x y) #s(literal 1/3 binary64))
(pow.f64 (cbrt.f64 (*.f64 x y)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (sqrt.f64 (*.f64 x y))) #s(literal 2 binary64))
(pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 x y))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 x y) #s(literal 1/6 binary64)) #s(literal 2 binary64))
(log.f64 (exp.f64 (cbrt.f64 (*.f64 x y))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (cbrt.f64 (*.f64 x y)))))
(expm1.f64 (log1p.f64 (cbrt.f64 (*.f64 x y))))
(log1p.f64 (expm1.f64 (cbrt.f64 (*.f64 x y))))
(exp.f64 (log.f64 (cbrt.f64 (*.f64 x y))))
(exp.f64 (*.f64 (log.f64 (*.f64 x y)) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 x y))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (*.f64 (+.f64 x y) (pow.f64 z #s(literal 3 binary64))) #s(literal -1/2 binary64)))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (+.f64 x y) (pow.f64 z #s(literal 3 binary64))) #s(literal -1/2 binary64)))
(*.f64 (/.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 x y))) z) (cbrt.f64 (pow.f64 (*.f64 (+.f64 x y) (pow.f64 z #s(literal 3 binary64))) #s(literal -1/2 binary64))))
(*.f64 (sqrt.f64 (pow.f64 (*.f64 (+.f64 x y) (pow.f64 z #s(literal 3 binary64))) #s(literal -1/2 binary64))) (sqrt.f64 (pow.f64 (*.f64 (+.f64 x y) (pow.f64 z #s(literal 3 binary64))) #s(literal -1/2 binary64))))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/2 binary64)) (pow.f64 (*.f64 (+.f64 x y) (pow.f64 z #s(literal 3 binary64))) #s(literal -1/2 binary64)))
(*.f64 (pow.f64 (pow.f64 (/.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 x y))) z) #s(literal 2 binary64)) #s(literal 1/2 binary64)) (pow.f64 (/.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 x y))) z) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 (pow.f64 (/.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 x y))) z) #s(literal 2 binary64))) (sqrt.f64 (/.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 x y))) z)))
(/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (+.f64 x y) (pow.f64 z #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 (*.f64 (+.f64 x y) (pow.f64 z #s(literal 3 binary64))) #s(literal 1 binary64))))
(/.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (neg.f64 (*.f64 (+.f64 x y) (pow.f64 z #s(literal 3 binary64))))))
(/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 x y))) (pow.f64 z #s(literal 3/2 binary64)))
(pow.f64 (*.f64 (+.f64 x y) (pow.f64 z #s(literal 3 binary64))) #s(literal -1/2 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 x y) (pow.f64 z #s(literal 3 binary64)))) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (*.f64 (+.f64 x y) (pow.f64 z #s(literal 3 binary64))) #s(literal -1/2 binary64)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (pow.f64 (*.f64 (+.f64 x y) (pow.f64 z #s(literal 3 binary64))) #s(literal -1/2 binary64))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 x y) (pow.f64 z #s(literal 3 binary64)))) #s(literal 3/2 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 (+.f64 x y) (pow.f64 z #s(literal 3 binary64)))) #s(literal -1 binary64))
(pow.f64 (sqrt.f64 (pow.f64 (*.f64 (+.f64 x y) (pow.f64 z #s(literal 3 binary64))) #s(literal -1/2 binary64))) #s(literal 2 binary64))
(log.f64 (exp.f64 (pow.f64 (*.f64 (+.f64 x y) (pow.f64 z #s(literal 3 binary64))) #s(literal -1/2 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (pow.f64 (*.f64 (+.f64 x y) (pow.f64 z #s(literal 3 binary64))) #s(literal -1/2 binary64)))))
(cbrt.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 x y) (pow.f64 z #s(literal 3 binary64)))) #s(literal 3/2 binary64)))
(expm1.f64 (log1p.f64 (pow.f64 (*.f64 (+.f64 x y) (pow.f64 z #s(literal 3 binary64))) #s(literal -1/2 binary64))))
(log1p.f64 (expm1.f64 (pow.f64 (*.f64 (+.f64 x y) (pow.f64 z #s(literal 3 binary64))) #s(literal -1/2 binary64))))
(exp.f64 (log.f64 (pow.f64 (*.f64 (+.f64 x y) (pow.f64 z #s(literal 3 binary64))) #s(literal -1/2 binary64))))
(exp.f64 (*.f64 (neg.f64 (log.f64 (*.f64 (+.f64 x y) (pow.f64 z #s(literal 3 binary64))))) #s(literal 1/2 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (*.f64 (+.f64 x y) (pow.f64 z #s(literal 3 binary64))) #s(literal -1/2 binary64))) #s(literal 1 binary64)))
(+.f64 (*.f64 z (sqrt.f64 (/.f64 (+.f64 x y) z))) (*.f64 z (*.f64 (*.f64 (*.f64 x y) (pow.f64 (*.f64 (+.f64 x y) (pow.f64 z #s(literal 3 binary64))) #s(literal -1/2 binary64))) #s(literal 1/2 binary64))))
(+.f64 (*.f64 (sqrt.f64 (/.f64 (+.f64 x y) z)) z) (*.f64 (*.f64 (*.f64 (*.f64 x y) (pow.f64 (*.f64 (+.f64 x y) (pow.f64 z #s(literal 3 binary64))) #s(literal -1/2 binary64))) #s(literal 1/2 binary64)) z))
(-.f64 (exp.f64 (log1p.f64 (*.f64 z (fma.f64 (*.f64 (*.f64 x y) (pow.f64 (*.f64 (+.f64 x y) (pow.f64 z #s(literal 3 binary64))) #s(literal -1/2 binary64))) #s(literal 1/2 binary64) (sqrt.f64 (/.f64 (+.f64 x y) z)))))) #s(literal 1 binary64))
(pow.f64 (*.f64 z (fma.f64 (*.f64 (*.f64 x y) (pow.f64 (*.f64 (+.f64 x y) (pow.f64 z #s(literal 3 binary64))) #s(literal -1/2 binary64))) #s(literal 1/2 binary64) (sqrt.f64 (/.f64 (+.f64 x y) z)))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 z (fma.f64 (*.f64 (*.f64 x y) (pow.f64 (*.f64 (+.f64 x y) (pow.f64 z #s(literal 3 binary64))) #s(literal -1/2 binary64))) #s(literal 1/2 binary64) (sqrt.f64 (/.f64 (+.f64 x y) z))))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 z (fma.f64 (*.f64 (*.f64 x y) (pow.f64 (*.f64 (+.f64 x y) (pow.f64 z #s(literal 3 binary64))) #s(literal -1/2 binary64))) #s(literal 1/2 binary64) (sqrt.f64 (/.f64 (+.f64 x y) z)))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 z (fma.f64 (*.f64 (*.f64 x y) (pow.f64 (*.f64 (+.f64 x y) (pow.f64 z #s(literal 3 binary64))) #s(literal -1/2 binary64))) #s(literal 1/2 binary64) (sqrt.f64 (/.f64 (+.f64 x y) z))))) #s(literal 2 binary64))
(log.f64 (pow.f64 (exp.f64 (fma.f64 (*.f64 (*.f64 x y) (pow.f64 (*.f64 (+.f64 x y) (pow.f64 z #s(literal 3 binary64))) #s(literal -1/2 binary64))) #s(literal 1/2 binary64) (sqrt.f64 (/.f64 (+.f64 x y) z)))) z))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 z (fma.f64 (*.f64 (*.f64 x y) (pow.f64 (*.f64 (+.f64 x y) (pow.f64 z #s(literal 3 binary64))) #s(literal -1/2 binary64))) #s(literal 1/2 binary64) (sqrt.f64 (/.f64 (+.f64 x y) z)))))))
(cbrt.f64 (pow.f64 (*.f64 z (fma.f64 (*.f64 (*.f64 x y) (pow.f64 (*.f64 (+.f64 x y) (pow.f64 z #s(literal 3 binary64))) #s(literal -1/2 binary64))) #s(literal 1/2 binary64) (sqrt.f64 (/.f64 (+.f64 x y) z)))) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 (fma.f64 (*.f64 (*.f64 x y) (pow.f64 (*.f64 (+.f64 x y) (pow.f64 z #s(literal 3 binary64))) #s(literal -1/2 binary64))) #s(literal 1/2 binary64) (sqrt.f64 (/.f64 (+.f64 x y) z))) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (fma.f64 (*.f64 (*.f64 x y) (pow.f64 (*.f64 (+.f64 x y) (pow.f64 z #s(literal 3 binary64))) #s(literal -1/2 binary64))) #s(literal 1/2 binary64) (sqrt.f64 (/.f64 (+.f64 x y) z))) #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 z (fma.f64 (*.f64 (*.f64 x y) (pow.f64 (*.f64 (+.f64 x y) (pow.f64 z #s(literal 3 binary64))) #s(literal -1/2 binary64))) #s(literal 1/2 binary64) (sqrt.f64 (/.f64 (+.f64 x y) z))))))
(log1p.f64 (expm1.f64 (*.f64 z (fma.f64 (*.f64 (*.f64 x y) (pow.f64 (*.f64 (+.f64 x y) (pow.f64 z #s(literal 3 binary64))) #s(literal -1/2 binary64))) #s(literal 1/2 binary64) (sqrt.f64 (/.f64 (+.f64 x y) z))))))
(exp.f64 (log.f64 (*.f64 z (fma.f64 (*.f64 (*.f64 x y) (pow.f64 (*.f64 (+.f64 x y) (pow.f64 z #s(literal 3 binary64))) #s(literal -1/2 binary64))) #s(literal 1/2 binary64) (sqrt.f64 (/.f64 (+.f64 x y) z))))))
(exp.f64 (*.f64 (log.f64 (*.f64 z (fma.f64 (*.f64 (*.f64 x y) (pow.f64 (*.f64 (+.f64 x y) (pow.f64 z #s(literal 3 binary64))) #s(literal -1/2 binary64))) #s(literal 1/2 binary64) (sqrt.f64 (/.f64 (+.f64 x y) z))))) #s(literal 1 binary64)))
(fma.f64 z (sqrt.f64 (/.f64 (+.f64 x y) z)) (*.f64 z (*.f64 (*.f64 (*.f64 x y) (pow.f64 (*.f64 (+.f64 x y) (pow.f64 z #s(literal 3 binary64))) #s(literal -1/2 binary64))) #s(literal 1/2 binary64))))
(fma.f64 (sqrt.f64 (/.f64 (+.f64 x y) z)) z (*.f64 (*.f64 (*.f64 (*.f64 x y) (pow.f64 (*.f64 (+.f64 x y) (pow.f64 z #s(literal 3 binary64))) #s(literal -1/2 binary64))) #s(literal 1/2 binary64)) z))
(-.f64 (exp.f64 (log1p.f64 (*.f64 y (pow.f64 (*.f64 (+.f64 x y) (pow.f64 z #s(literal 3 binary64))) #s(literal -1/2 binary64))))) #s(literal 1 binary64))
(pow.f64 (*.f64 y (pow.f64 (*.f64 (+.f64 x y) (pow.f64 z #s(literal 3 binary64))) #s(literal -1/2 binary64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 y (pow.f64 (*.f64 (+.f64 x y) (pow.f64 z #s(literal 3 binary64))) #s(literal -1/2 binary64)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 y (pow.f64 (*.f64 (+.f64 x y) (pow.f64 z #s(literal 3 binary64))) #s(literal -1/2 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 y (pow.f64 (*.f64 (+.f64 x y) (pow.f64 z #s(literal 3 binary64))) #s(literal -1/2 binary64)))) #s(literal 2 binary64))
(log.f64 (pow.f64 (exp.f64 y) (pow.f64 (*.f64 (+.f64 x y) (pow.f64 z #s(literal 3 binary64))) #s(literal -1/2 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 y (pow.f64 (*.f64 (+.f64 x y) (pow.f64 z #s(literal 3 binary64))) #s(literal -1/2 binary64))))))
(cbrt.f64 (pow.f64 (*.f64 y (pow.f64 (*.f64 (+.f64 x y) (pow.f64 z #s(literal 3 binary64))) #s(literal -1/2 binary64))) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 x y) (pow.f64 z #s(literal 3 binary64)))) #s(literal 3/2 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 x y) (pow.f64 z #s(literal 3 binary64)))) #s(literal 3/2 binary64)) (pow.f64 y #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 y (pow.f64 (*.f64 (+.f64 x y) (pow.f64 z #s(literal 3 binary64))) #s(literal -1/2 binary64)))))
(log1p.f64 (expm1.f64 (*.f64 y (pow.f64 (*.f64 (+.f64 x y) (pow.f64 z #s(literal 3 binary64))) #s(literal -1/2 binary64)))))
(exp.f64 (log.f64 (*.f64 y (pow.f64 (*.f64 (+.f64 x y) (pow.f64 z #s(literal 3 binary64))) #s(literal -1/2 binary64)))))
(exp.f64 (*.f64 (log.f64 (*.f64 y (pow.f64 (*.f64 (+.f64 x y) (pow.f64 z #s(literal 3 binary64))) #s(literal -1/2 binary64)))) #s(literal 1 binary64)))
Outputs
(*.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)))))
(fma.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 y z)) (*.f64 x (*.f64 (+.f64 y z) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) 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)))))
(fma.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 y z)) (*.f64 x (fma.f64 #s(literal -1/4 binary64) (*.f64 x (*.f64 (pow.f64 (+.f64 y z) #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))))))) (*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) 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)))))
(fma.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 y z)) (*.f64 x (fma.f64 x (fma.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 (/.f64 #s(literal 1 binary64) y) z)) (+.f64 y z)))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 x (+.f64 y z))))
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(pow.f64 (sqrt.f64 (*.f64 (+.f64 x y) (pow.f64 z #s(literal 3 binary64)))) #s(literal -1 binary64))
(/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (+.f64 y x) (pow.f64 z #s(literal 3 binary64)))))
(pow.f64 (sqrt.f64 (pow.f64 (*.f64 (+.f64 x y) (pow.f64 z #s(literal 3 binary64))) #s(literal -1/2 binary64))) #s(literal 2 binary64))
(pow.f64 (*.f64 (+.f64 y x) (pow.f64 z #s(literal 3 binary64))) #s(literal -1/2 binary64))
(log.f64 (exp.f64 (pow.f64 (*.f64 (+.f64 x y) (pow.f64 z #s(literal 3 binary64))) #s(literal -1/2 binary64))))
(pow.f64 (*.f64 (+.f64 y x) (pow.f64 z #s(literal 3 binary64))) #s(literal -1/2 binary64))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (pow.f64 (*.f64 (+.f64 x y) (pow.f64 z #s(literal 3 binary64))) #s(literal -1/2 binary64)))))
(pow.f64 (*.f64 (+.f64 y x) (pow.f64 z #s(literal 3 binary64))) #s(literal -1/2 binary64))
(cbrt.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 x y) (pow.f64 z #s(literal 3 binary64)))) #s(literal 3/2 binary64)))
(cbrt.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 y x) (pow.f64 z #s(literal 3 binary64)))) #s(literal 3/2 binary64)))
(expm1.f64 (log1p.f64 (pow.f64 (*.f64 (+.f64 x y) (pow.f64 z #s(literal 3 binary64))) #s(literal -1/2 binary64))))
(expm1.f64 (log1p.f64 (pow.f64 (*.f64 (+.f64 y x) (pow.f64 z #s(literal 3 binary64))) #s(literal -1/2 binary64))))
(log1p.f64 (expm1.f64 (pow.f64 (*.f64 (+.f64 x y) (pow.f64 z #s(literal 3 binary64))) #s(literal -1/2 binary64))))
(pow.f64 (*.f64 (+.f64 y x) (pow.f64 z #s(literal 3 binary64))) #s(literal -1/2 binary64))
(exp.f64 (log.f64 (pow.f64 (*.f64 (+.f64 x y) (pow.f64 z #s(literal 3 binary64))) #s(literal -1/2 binary64))))
(pow.f64 (*.f64 (+.f64 y x) (pow.f64 z #s(literal 3 binary64))) #s(literal -1/2 binary64))
(exp.f64 (*.f64 (neg.f64 (log.f64 (*.f64 (+.f64 x y) (pow.f64 z #s(literal 3 binary64))))) #s(literal 1/2 binary64)))
(pow.f64 (exp.f64 (neg.f64 (log.f64 (*.f64 (+.f64 y x) (pow.f64 z #s(literal 3 binary64)))))) #s(literal 1/2 binary64))
(sqrt.f64 (exp.f64 (neg.f64 (log.f64 (*.f64 (+.f64 y x) (pow.f64 z #s(literal 3 binary64)))))))
(exp.f64 (*.f64 (log.f64 (pow.f64 (*.f64 (+.f64 x y) (pow.f64 z #s(literal 3 binary64))) #s(literal -1/2 binary64))) #s(literal 1 binary64)))
(pow.f64 (*.f64 (+.f64 y x) (pow.f64 z #s(literal 3 binary64))) #s(literal -1/2 binary64))
(+.f64 (*.f64 z (sqrt.f64 (/.f64 (+.f64 x y) z))) (*.f64 z (*.f64 (*.f64 (*.f64 x y) (pow.f64 (*.f64 (+.f64 x y) (pow.f64 z #s(literal 3 binary64))) #s(literal -1/2 binary64))) #s(literal 1/2 binary64))))
(*.f64 z (+.f64 (sqrt.f64 (/.f64 (+.f64 y x) z)) (*.f64 (*.f64 x y) (*.f64 (pow.f64 (*.f64 (+.f64 y x) (pow.f64 z #s(literal 3 binary64))) #s(literal -1/2 binary64)) #s(literal 1/2 binary64)))))
(+.f64 (*.f64 (sqrt.f64 (/.f64 (+.f64 x y) z)) z) (*.f64 (*.f64 (*.f64 (*.f64 x y) (pow.f64 (*.f64 (+.f64 x y) (pow.f64 z #s(literal 3 binary64))) #s(literal -1/2 binary64))) #s(literal 1/2 binary64)) z))
(*.f64 z (+.f64 (sqrt.f64 (/.f64 (+.f64 y x) z)) (*.f64 (*.f64 x y) (*.f64 (pow.f64 (*.f64 (+.f64 y x) (pow.f64 z #s(literal 3 binary64))) #s(literal -1/2 binary64)) #s(literal 1/2 binary64)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 z (fma.f64 (*.f64 (*.f64 x y) (pow.f64 (*.f64 (+.f64 x y) (pow.f64 z #s(literal 3 binary64))) #s(literal -1/2 binary64))) #s(literal 1/2 binary64) (sqrt.f64 (/.f64 (+.f64 x y) z)))))) #s(literal 1 binary64))
(expm1.f64 (log1p.f64 (*.f64 z (fma.f64 (*.f64 (*.f64 x y) (pow.f64 (*.f64 (+.f64 y x) (pow.f64 z #s(literal 3 binary64))) #s(literal -1/2 binary64))) #s(literal 1/2 binary64) (sqrt.f64 (/.f64 (+.f64 y x) z))))))
(pow.f64 (*.f64 z (fma.f64 (*.f64 (*.f64 x y) (pow.f64 (*.f64 (+.f64 x y) (pow.f64 z #s(literal 3 binary64))) #s(literal -1/2 binary64))) #s(literal 1/2 binary64) (sqrt.f64 (/.f64 (+.f64 x y) z)))) #s(literal 1 binary64))
(*.f64 z (fma.f64 (*.f64 (*.f64 x y) (pow.f64 (*.f64 (+.f64 y x) (pow.f64 z #s(literal 3 binary64))) #s(literal -1/2 binary64))) #s(literal 1/2 binary64) (sqrt.f64 (/.f64 (+.f64 y x) z))))
(pow.f64 (cbrt.f64 (*.f64 z (fma.f64 (*.f64 (*.f64 x y) (pow.f64 (*.f64 (+.f64 x y) (pow.f64 z #s(literal 3 binary64))) #s(literal -1/2 binary64))) #s(literal 1/2 binary64) (sqrt.f64 (/.f64 (+.f64 x y) z))))) #s(literal 3 binary64))
(*.f64 z (fma.f64 (*.f64 (*.f64 x y) (pow.f64 (*.f64 (+.f64 y x) (pow.f64 z #s(literal 3 binary64))) #s(literal -1/2 binary64))) #s(literal 1/2 binary64) (sqrt.f64 (/.f64 (+.f64 y x) z))))
(pow.f64 (pow.f64 (*.f64 z (fma.f64 (*.f64 (*.f64 x y) (pow.f64 (*.f64 (+.f64 x y) (pow.f64 z #s(literal 3 binary64))) #s(literal -1/2 binary64))) #s(literal 1/2 binary64) (sqrt.f64 (/.f64 (+.f64 x y) z)))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(*.f64 z (fma.f64 (*.f64 (*.f64 x y) (pow.f64 (*.f64 (+.f64 y x) (pow.f64 z #s(literal 3 binary64))) #s(literal -1/2 binary64))) #s(literal 1/2 binary64) (sqrt.f64 (/.f64 (+.f64 y x) z))))
(pow.f64 (sqrt.f64 (*.f64 z (fma.f64 (*.f64 (*.f64 x y) (pow.f64 (*.f64 (+.f64 x y) (pow.f64 z #s(literal 3 binary64))) #s(literal -1/2 binary64))) #s(literal 1/2 binary64) (sqrt.f64 (/.f64 (+.f64 x y) z))))) #s(literal 2 binary64))
(*.f64 z (fma.f64 (*.f64 (*.f64 x y) (pow.f64 (*.f64 (+.f64 y x) (pow.f64 z #s(literal 3 binary64))) #s(literal -1/2 binary64))) #s(literal 1/2 binary64) (sqrt.f64 (/.f64 (+.f64 y x) z))))
(log.f64 (pow.f64 (exp.f64 (fma.f64 (*.f64 (*.f64 x y) (pow.f64 (*.f64 (+.f64 x y) (pow.f64 z #s(literal 3 binary64))) #s(literal -1/2 binary64))) #s(literal 1/2 binary64) (sqrt.f64 (/.f64 (+.f64 x y) z)))) z))
(log.f64 (pow.f64 (exp.f64 (fma.f64 (*.f64 (*.f64 x y) (pow.f64 (*.f64 (+.f64 y x) (pow.f64 z #s(literal 3 binary64))) #s(literal -1/2 binary64))) #s(literal 1/2 binary64) (sqrt.f64 (/.f64 (+.f64 y x) z)))) z))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 z (fma.f64 (*.f64 (*.f64 x y) (pow.f64 (*.f64 (+.f64 x y) (pow.f64 z #s(literal 3 binary64))) #s(literal -1/2 binary64))) #s(literal 1/2 binary64) (sqrt.f64 (/.f64 (+.f64 x y) z)))))))
(*.f64 z (fma.f64 (*.f64 (*.f64 x y) (pow.f64 (*.f64 (+.f64 y x) (pow.f64 z #s(literal 3 binary64))) #s(literal -1/2 binary64))) #s(literal 1/2 binary64) (sqrt.f64 (/.f64 (+.f64 y x) z))))
(cbrt.f64 (pow.f64 (*.f64 z (fma.f64 (*.f64 (*.f64 x y) (pow.f64 (*.f64 (+.f64 x y) (pow.f64 z #s(literal 3 binary64))) #s(literal -1/2 binary64))) #s(literal 1/2 binary64) (sqrt.f64 (/.f64 (+.f64 x y) z)))) #s(literal 3 binary64)))
(*.f64 z (fma.f64 (*.f64 (*.f64 x y) (pow.f64 (*.f64 (+.f64 y x) (pow.f64 z #s(literal 3 binary64))) #s(literal -1/2 binary64))) #s(literal 1/2 binary64) (sqrt.f64 (/.f64 (+.f64 y x) z))))
(cbrt.f64 (*.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 (fma.f64 (*.f64 (*.f64 x y) (pow.f64 (*.f64 (+.f64 x y) (pow.f64 z #s(literal 3 binary64))) #s(literal -1/2 binary64))) #s(literal 1/2 binary64) (sqrt.f64 (/.f64 (+.f64 x y) z))) #s(literal 3 binary64))))
(*.f64 z (fma.f64 (*.f64 (*.f64 x y) (pow.f64 (*.f64 (+.f64 y x) (pow.f64 z #s(literal 3 binary64))) #s(literal -1/2 binary64))) #s(literal 1/2 binary64) (sqrt.f64 (/.f64 (+.f64 y x) z))))
(cbrt.f64 (*.f64 (pow.f64 (fma.f64 (*.f64 (*.f64 x y) (pow.f64 (*.f64 (+.f64 x y) (pow.f64 z #s(literal 3 binary64))) #s(literal -1/2 binary64))) #s(literal 1/2 binary64) (sqrt.f64 (/.f64 (+.f64 x y) z))) #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (fma.f64 (*.f64 (*.f64 x y) (pow.f64 (*.f64 (+.f64 y x) (pow.f64 z #s(literal 3 binary64))) #s(literal -1/2 binary64))) #s(literal 1/2 binary64) (sqrt.f64 (/.f64 (+.f64 y x) z))) #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 z (fma.f64 (*.f64 (*.f64 x y) (pow.f64 (*.f64 (+.f64 x y) (pow.f64 z #s(literal 3 binary64))) #s(literal -1/2 binary64))) #s(literal 1/2 binary64) (sqrt.f64 (/.f64 (+.f64 x y) z))))))
(expm1.f64 (log1p.f64 (*.f64 z (fma.f64 (*.f64 (*.f64 x y) (pow.f64 (*.f64 (+.f64 y x) (pow.f64 z #s(literal 3 binary64))) #s(literal -1/2 binary64))) #s(literal 1/2 binary64) (sqrt.f64 (/.f64 (+.f64 y x) z))))))
(log1p.f64 (expm1.f64 (*.f64 z (fma.f64 (*.f64 (*.f64 x y) (pow.f64 (*.f64 (+.f64 x y) (pow.f64 z #s(literal 3 binary64))) #s(literal -1/2 binary64))) #s(literal 1/2 binary64) (sqrt.f64 (/.f64 (+.f64 x y) z))))))
(*.f64 z (fma.f64 (*.f64 (*.f64 x y) (pow.f64 (*.f64 (+.f64 y x) (pow.f64 z #s(literal 3 binary64))) #s(literal -1/2 binary64))) #s(literal 1/2 binary64) (sqrt.f64 (/.f64 (+.f64 y x) z))))
(exp.f64 (log.f64 (*.f64 z (fma.f64 (*.f64 (*.f64 x y) (pow.f64 (*.f64 (+.f64 x y) (pow.f64 z #s(literal 3 binary64))) #s(literal -1/2 binary64))) #s(literal 1/2 binary64) (sqrt.f64 (/.f64 (+.f64 x y) z))))))
(*.f64 z (fma.f64 (*.f64 (*.f64 x y) (pow.f64 (*.f64 (+.f64 y x) (pow.f64 z #s(literal 3 binary64))) #s(literal -1/2 binary64))) #s(literal 1/2 binary64) (sqrt.f64 (/.f64 (+.f64 y x) z))))
(exp.f64 (*.f64 (log.f64 (*.f64 z (fma.f64 (*.f64 (*.f64 x y) (pow.f64 (*.f64 (+.f64 x y) (pow.f64 z #s(literal 3 binary64))) #s(literal -1/2 binary64))) #s(literal 1/2 binary64) (sqrt.f64 (/.f64 (+.f64 x y) z))))) #s(literal 1 binary64)))
(*.f64 z (fma.f64 (*.f64 (*.f64 x y) (pow.f64 (*.f64 (+.f64 y x) (pow.f64 z #s(literal 3 binary64))) #s(literal -1/2 binary64))) #s(literal 1/2 binary64) (sqrt.f64 (/.f64 (+.f64 y x) z))))
(fma.f64 z (sqrt.f64 (/.f64 (+.f64 x y) z)) (*.f64 z (*.f64 (*.f64 (*.f64 x y) (pow.f64 (*.f64 (+.f64 x y) (pow.f64 z #s(literal 3 binary64))) #s(literal -1/2 binary64))) #s(literal 1/2 binary64))))
(*.f64 z (+.f64 (sqrt.f64 (/.f64 (+.f64 y x) z)) (*.f64 (*.f64 x y) (*.f64 (pow.f64 (*.f64 (+.f64 y x) (pow.f64 z #s(literal 3 binary64))) #s(literal -1/2 binary64)) #s(literal 1/2 binary64)))))
(fma.f64 (sqrt.f64 (/.f64 (+.f64 x y) z)) z (*.f64 (*.f64 (*.f64 (*.f64 x y) (pow.f64 (*.f64 (+.f64 x y) (pow.f64 z #s(literal 3 binary64))) #s(literal -1/2 binary64))) #s(literal 1/2 binary64)) z))
(*.f64 z (+.f64 (sqrt.f64 (/.f64 (+.f64 y x) z)) (*.f64 (*.f64 x y) (*.f64 (pow.f64 (*.f64 (+.f64 y x) (pow.f64 z #s(literal 3 binary64))) #s(literal -1/2 binary64)) #s(literal 1/2 binary64)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 y (pow.f64 (*.f64 (+.f64 x y) (pow.f64 z #s(literal 3 binary64))) #s(literal -1/2 binary64))))) #s(literal 1 binary64))
(expm1.f64 (log1p.f64 (*.f64 y (pow.f64 (*.f64 (+.f64 y x) (pow.f64 z #s(literal 3 binary64))) #s(literal -1/2 binary64)))))
(pow.f64 (*.f64 y (pow.f64 (*.f64 (+.f64 x y) (pow.f64 z #s(literal 3 binary64))) #s(literal -1/2 binary64))) #s(literal 1 binary64))
(*.f64 y (pow.f64 (*.f64 (+.f64 y x) (pow.f64 z #s(literal 3 binary64))) #s(literal -1/2 binary64)))
(pow.f64 (cbrt.f64 (*.f64 y (pow.f64 (*.f64 (+.f64 x y) (pow.f64 z #s(literal 3 binary64))) #s(literal -1/2 binary64)))) #s(literal 3 binary64))
(*.f64 y (pow.f64 (*.f64 (+.f64 y x) (pow.f64 z #s(literal 3 binary64))) #s(literal -1/2 binary64)))
(pow.f64 (pow.f64 (*.f64 y (pow.f64 (*.f64 (+.f64 x y) (pow.f64 z #s(literal 3 binary64))) #s(literal -1/2 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(*.f64 y (pow.f64 (*.f64 (+.f64 y x) (pow.f64 z #s(literal 3 binary64))) #s(literal -1/2 binary64)))
(pow.f64 (sqrt.f64 (*.f64 y (pow.f64 (*.f64 (+.f64 x y) (pow.f64 z #s(literal 3 binary64))) #s(literal -1/2 binary64)))) #s(literal 2 binary64))
(*.f64 y (pow.f64 (*.f64 (+.f64 y x) (pow.f64 z #s(literal 3 binary64))) #s(literal -1/2 binary64)))
(log.f64 (pow.f64 (exp.f64 y) (pow.f64 (*.f64 (+.f64 x y) (pow.f64 z #s(literal 3 binary64))) #s(literal -1/2 binary64))))
(*.f64 y (pow.f64 (*.f64 (+.f64 y x) (pow.f64 z #s(literal 3 binary64))) #s(literal -1/2 binary64)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 y (pow.f64 (*.f64 (+.f64 x y) (pow.f64 z #s(literal 3 binary64))) #s(literal -1/2 binary64))))))
(*.f64 y (pow.f64 (*.f64 (+.f64 y x) (pow.f64 z #s(literal 3 binary64))) #s(literal -1/2 binary64)))
(cbrt.f64 (pow.f64 (*.f64 y (pow.f64 (*.f64 (+.f64 x y) (pow.f64 z #s(literal 3 binary64))) #s(literal -1/2 binary64))) #s(literal 3 binary64)))
(*.f64 y (pow.f64 (*.f64 (+.f64 y x) (pow.f64 z #s(literal 3 binary64))) #s(literal -1/2 binary64)))
(cbrt.f64 (*.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 x y) (pow.f64 z #s(literal 3 binary64)))) #s(literal 3/2 binary64))))
(cbrt.f64 (*.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 y x) (pow.f64 z #s(literal 3 binary64)))) #s(literal 3/2 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 x y) (pow.f64 z #s(literal 3 binary64)))) #s(literal 3/2 binary64)) (pow.f64 y #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 y x) (pow.f64 z #s(literal 3 binary64)))) #s(literal 3/2 binary64)) (pow.f64 y #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 y (pow.f64 (*.f64 (+.f64 x y) (pow.f64 z #s(literal 3 binary64))) #s(literal -1/2 binary64)))))
(expm1.f64 (log1p.f64 (*.f64 y (pow.f64 (*.f64 (+.f64 y x) (pow.f64 z #s(literal 3 binary64))) #s(literal -1/2 binary64)))))
(log1p.f64 (expm1.f64 (*.f64 y (pow.f64 (*.f64 (+.f64 x y) (pow.f64 z #s(literal 3 binary64))) #s(literal -1/2 binary64)))))
(*.f64 y (pow.f64 (*.f64 (+.f64 y x) (pow.f64 z #s(literal 3 binary64))) #s(literal -1/2 binary64)))
(exp.f64 (log.f64 (*.f64 y (pow.f64 (*.f64 (+.f64 x y) (pow.f64 z #s(literal 3 binary64))) #s(literal -1/2 binary64)))))
(*.f64 y (pow.f64 (*.f64 (+.f64 y x) (pow.f64 z #s(literal 3 binary64))) #s(literal -1/2 binary64)))
(exp.f64 (*.f64 (log.f64 (*.f64 y (pow.f64 (*.f64 (+.f64 x y) (pow.f64 z #s(literal 3 binary64))) #s(literal -1/2 binary64)))) #s(literal 1 binary64)))
(*.f64 y (pow.f64 (*.f64 (+.f64 y x) (pow.f64 z #s(literal 3 binary64))) #s(literal -1/2 binary64)))

eval223.0ms (1.6%)

Compiler

Compiled 51462 to 8046 computations (84.4% saved)

prune290.0ms (2.1%)

Pruning

35 alts after pruning (33 fresh and 2 done)

PrunedKeptTotal
New1450241474
Fresh7916
Picked325
Done000
Total1460351495
Accuracy
98.4%
Counts
1495 → 35
Alt Table
Click to see full alt table
StatusAccuracyProgram
35.6%
(fma.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 z y)) (*.f64 x (*.f64 (+.f64 z y) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 z y))))))
37.2%
(pow.f64 (cbrt.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 x y)))) #s(literal 3 binary64))
31.6%
(+.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 x y))) (*.f64 (sqrt.f64 (/.f64 x y)) z))
2.2%
(*.f64 z (+.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 x z))) (*.f64 (sqrt.f64 (/.f64 x (pow.f64 z #s(literal 3 binary64)))) y)))
31.3%
(*.f64 y (fma.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 (+.f64 z x) y)) (*.f64 x (*.f64 z (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))) (+.f64 z x)))))))
27.6%
(*.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)))))))
35.0%
(*.f64 #s(literal 2 binary64) (pow.f64 (pow.f64 (*.f64 y z) #s(literal 1/4 binary64)) #s(literal 2 binary64)))
4.1%
(*.f64 #s(literal 2 binary64) (pow.f64 (pow.f64 (*.f64 x z) #s(literal 1/4 binary64)) #s(literal 2 binary64)))
37.8%
(*.f64 #s(literal 2 binary64) (pow.f64 (pow.f64 (*.f64 x y) #s(literal 1/4 binary64)) #s(literal 2 binary64)))
46.5%
(*.f64 #s(literal 2 binary64) (pow.f64 (exp.f64 (*.f64 #s(literal 1/4 binary64) (+.f64 (log.f64 (+.f64 (*.f64 #s(literal -1 binary64) y) (*.f64 #s(literal -1 binary64) z))) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x)))))) #s(literal 2 binary64)))
44.2%
(*.f64 #s(literal 2 binary64) (pow.f64 (exp.f64 (*.f64 #s(literal 1/4 binary64) (+.f64 (log.f64 (+.f64 x y)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) z)))))) #s(literal 2 binary64)))
45.5%
(*.f64 #s(literal 2 binary64) (pow.f64 (exp.f64 (*.f64 #s(literal 1/4 binary64) (+.f64 (log.f64 (*.f64 #s(literal -1 binary64) (+.f64 x z))) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) y)))))) #s(literal 2 binary64)))
35.1%
(*.f64 #s(literal 2 binary64) (pow.f64 (cbrt.f64 (*.f64 z (fma.f64 (*.f64 (*.f64 x y) (pow.f64 (*.f64 (+.f64 x y) (pow.f64 z #s(literal 3 binary64))) #s(literal -1/2 binary64))) #s(literal 1/2 binary64) (sqrt.f64 (/.f64 (+.f64 x y) z))))) #s(literal 3 binary64)))
37.5%
(*.f64 #s(literal 2 binary64) (pow.f64 (cbrt.f64 (*.f64 x y)) #s(literal 3/2 binary64)))
1.2%
(*.f64 #s(literal 2 binary64) (*.f64 (sqrt.f64 y) (sqrt.f64 x)))
37.5%
(*.f64 #s(literal 2 binary64) (*.f64 (cbrt.f64 (*.f64 x y)) (cbrt.f64 (sqrt.f64 (*.f64 x y)))))
36.6%
(*.f64 #s(literal 2 binary64) (*.f64 z (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 z (+.f64 y x)))) (*.f64 (*.f64 x (*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 x y) (pow.f64 z #s(literal 3 binary64))))))) #s(literal 1/2 binary64)))))
1.0%
(*.f64 #s(literal 2 binary64) (*.f64 z (+.f64 (*.f64 (sqrt.f64 (/.f64 (+.f64 y x) z)) #s(literal -1 binary64)) (*.f64 (*.f64 x (*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 x y) (pow.f64 z #s(literal 3 binary64))))))) #s(literal 1/2 binary64)))))
32.3%
(*.f64 #s(literal 2 binary64) (*.f64 z (+.f64 (sqrt.f64 (/.f64 (+.f64 x y) z)) (*.f64 (*.f64 x (*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (pow.f64 z #s(literal 3 binary64)))) (*.f64 y #s(literal -1 binary64)))) #s(literal 1/2 binary64)))))
39.7%
(*.f64 #s(literal 2 binary64) (*.f64 z (+.f64 (sqrt.f64 (/.f64 (+.f64 x y) z)) (*.f64 (*.f64 x (sqrt.f64 (/.f64 y (pow.f64 z #s(literal 3 binary64))))) #s(literal 1/2 binary64)))))
40.9%
(*.f64 #s(literal 2 binary64) (*.f64 z (+.f64 (sqrt.f64 (/.f64 (+.f64 x y) z)) (*.f64 (*.f64 x (log.f64 (pow.f64 (exp.f64 y) (pow.f64 (*.f64 (+.f64 x y) (pow.f64 z #s(literal 3 binary64))) #s(literal -1/2 binary64))))) #s(literal 1/2 binary64)))))
48.0%
(*.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (*.f64 x y) (/.f64 (*.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) z) (-.f64 y x)))))
71.6%
(*.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (*.f64 x y) (*.f64 z (*.f64 (fma.f64 y (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) (neg.f64 x))))))
39.3%
(*.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (*.f64 x y) (*.f64 z x))))
37.0%
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 z (+.f64 y x))))
25.6%
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 z (+.f64 x (*.f64 x (/.f64 y z))))))
35.0%
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 z y)))
3.8%
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 z x)))
61.1%
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 x (+.f64 (*.f64 z (/.f64 y x)) (+.f64 z y)))))
39.4%
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 x (+.f64 z y))))
37.8%
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 x y)))
41.0%
(*.f64 #s(literal 2 binary64) (sqrt.f64 (fabs.f64 (*.f64 x (+.f64 y z)))))
35.4%
(*.f64 #s(literal 2 binary64) (exp.f64 (*.f64 (log.f64 (*.f64 x y)) #s(literal 1/2 binary64))))
49.3%
(*.f64 #s(literal 2 binary64) (cbrt.f64 (pow.f64 (fma.f64 z (+.f64 y x) (*.f64 x y)) #s(literal 3/2 binary64))))
24.7%
(*.f64 #s(literal 2 binary64) (cbrt.f64 (pow.f64 (*.f64 x y) #s(literal 3/2 binary64))))
Compiler

Compiled 1246 to 880 computations (29.4% saved)

simplify83.0ms (0.6%)

Algorithm
egg-herbie
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
cost-diff0
(sqrt.f64 (/.f64 (+.f64 y x) z))
cost-diff64
(*.f64 (sqrt.f64 (/.f64 (+.f64 y x) z)) #s(literal -1 binary64))
cost-diff128
(+.f64 (*.f64 (sqrt.f64 (/.f64 (+.f64 y x) z)) #s(literal -1 binary64)) (*.f64 (*.f64 x (*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 x y) (pow.f64 z #s(literal 3 binary64))))))) #s(literal 1/2 binary64)))
cost-diff128
(*.f64 z (+.f64 (*.f64 (sqrt.f64 (/.f64 (+.f64 y x) z)) #s(literal -1 binary64)) (*.f64 (*.f64 x (*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 x y) (pow.f64 z #s(literal 3 binary64))))))) #s(literal 1/2 binary64))))
cost-diff0
(*.f64 x y)
cost-diff0
(cbrt.f64 (*.f64 x y))
cost-diff0
(*.f64 (cbrt.f64 (*.f64 x y)) (cbrt.f64 (sqrt.f64 (*.f64 x y))))
cost-diff0
(*.f64 #s(literal 2 binary64) (*.f64 (cbrt.f64 (*.f64 x y)) (cbrt.f64 (sqrt.f64 (*.f64 x y)))))
cost-diff0
(*.f64 x y)
cost-diff0
(cbrt.f64 (*.f64 x y))
cost-diff0
(pow.f64 (cbrt.f64 (*.f64 x y)) #s(literal 3/2 binary64))
cost-diff0
(*.f64 #s(literal 2 binary64) (pow.f64 (cbrt.f64 (*.f64 x y)) #s(literal 3/2 binary64)))
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-diff448
(*.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (*.f64 x y) (*.f64 z (*.f64 (fma.f64 y (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) (neg.f64 x))))))
cost-diff6400
(fma.f64 y (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64))
cost-diff6720
(*.f64 (fma.f64 y (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) (neg.f64 x))
cost-diff6720
(*.f64 z (*.f64 (fma.f64 y (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) (neg.f64 x)))
Rules
749×fma-define
706×unsub-neg
590×fma-neg
404×associate-*r*
316×associate-*l*
Iterations

Useful iterations: 5 (0.0ms)

IterNodesCost
0511400
11031392
22561377
37521330
420251235
546151233
Stop Event
node limit
Calls
Call 1
Inputs
(*.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (*.f64 x y) (*.f64 z (*.f64 (fma.f64 y (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) (neg.f64 x))))))
#s(literal 2 binary64)
(sqrt.f64 (+.f64 (*.f64 x y) (*.f64 z (*.f64 (fma.f64 y (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) (neg.f64 x)))))
(+.f64 (*.f64 x y) (*.f64 z (*.f64 (fma.f64 y (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) (neg.f64 x))))
(*.f64 x y)
x
y
(*.f64 z (*.f64 (fma.f64 y (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) (neg.f64 x)))
z
(*.f64 (fma.f64 y (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) (neg.f64 x))
(fma.f64 y (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64))
(/.f64 #s(literal -1 binary64) x)
#s(literal -1 binary64)
(neg.f64 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) (pow.f64 (cbrt.f64 (*.f64 x y)) #s(literal 3/2 binary64)))
#s(literal 2 binary64)
(pow.f64 (cbrt.f64 (*.f64 x y)) #s(literal 3/2 binary64))
(cbrt.f64 (*.f64 x y))
(*.f64 x y)
x
y
#s(literal 3/2 binary64)
(*.f64 #s(literal 2 binary64) (*.f64 (cbrt.f64 (*.f64 x y)) (cbrt.f64 (sqrt.f64 (*.f64 x y)))))
#s(literal 2 binary64)
(*.f64 (cbrt.f64 (*.f64 x y)) (cbrt.f64 (sqrt.f64 (*.f64 x y))))
(cbrt.f64 (*.f64 x y))
(*.f64 x y)
x
y
(cbrt.f64 (sqrt.f64 (*.f64 x y)))
(sqrt.f64 (*.f64 x y))
(*.f64 #s(literal 2 binary64) (*.f64 z (+.f64 (*.f64 (sqrt.f64 (/.f64 (+.f64 y x) z)) #s(literal -1 binary64)) (*.f64 (*.f64 x (*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 x y) (pow.f64 z #s(literal 3 binary64))))))) #s(literal 1/2 binary64)))))
#s(literal 2 binary64)
(*.f64 z (+.f64 (*.f64 (sqrt.f64 (/.f64 (+.f64 y x) z)) #s(literal -1 binary64)) (*.f64 (*.f64 x (*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 x y) (pow.f64 z #s(literal 3 binary64))))))) #s(literal 1/2 binary64))))
z
(+.f64 (*.f64 (sqrt.f64 (/.f64 (+.f64 y x) z)) #s(literal -1 binary64)) (*.f64 (*.f64 x (*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 x y) (pow.f64 z #s(literal 3 binary64))))))) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 (/.f64 (+.f64 y x) z)) #s(literal -1 binary64))
(sqrt.f64 (/.f64 (+.f64 y x) z))
(/.f64 (+.f64 y x) z)
(+.f64 y x)
y
x
#s(literal -1 binary64)
(*.f64 (*.f64 x (*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 x y) (pow.f64 z #s(literal 3 binary64))))))) #s(literal 1/2 binary64))
(*.f64 x (*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 x y) (pow.f64 z #s(literal 3 binary64)))))))
(*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 x y) (pow.f64 z #s(literal 3 binary64))))))
(sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 x y) (pow.f64 z #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (*.f64 (+.f64 x y) (pow.f64 z #s(literal 3 binary64))))
#s(literal 1 binary64)
(*.f64 (+.f64 x y) (pow.f64 z #s(literal 3 binary64)))
(+.f64 x y)
(pow.f64 z #s(literal 3 binary64))
#s(literal 3 binary64)
#s(literal 1/2 binary64)
Outputs
(*.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (*.f64 x y) (*.f64 z (*.f64 (fma.f64 y (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) (neg.f64 x))))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (fma.f64 x y (*.f64 z (*.f64 (fma.f64 y (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) (neg.f64 x))))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (fma.f64 z (*.f64 (fma.f64 y (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) (neg.f64 x)) (*.f64 x y))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 x (+.f64 y (*.f64 z (neg.f64 (fma.f64 y (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64))))))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 x (fma.f64 z (-.f64 #s(literal 1 binary64) (/.f64 (neg.f64 y) 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 y (+.f64 x z) (*.f64 x z))))
#s(literal 2 binary64)
(sqrt.f64 (+.f64 (*.f64 x y) (*.f64 z (*.f64 (fma.f64 y (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) (neg.f64 x)))))
(sqrt.f64 (fma.f64 x y (*.f64 z (*.f64 (fma.f64 y (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) (neg.f64 x)))))
(sqrt.f64 (fma.f64 z (*.f64 (fma.f64 y (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) (neg.f64 x)) (*.f64 x y)))
(sqrt.f64 (*.f64 x (+.f64 y (*.f64 z (neg.f64 (fma.f64 y (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)))))))
(sqrt.f64 (*.f64 x (fma.f64 z (-.f64 #s(literal 1 binary64) (/.f64 (neg.f64 y) x)) y)))
(sqrt.f64 (fma.f64 x z (*.f64 y (+.f64 x z))))
(sqrt.f64 (fma.f64 y (+.f64 x z) (*.f64 x z)))
(+.f64 (*.f64 x y) (*.f64 z (*.f64 (fma.f64 y (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) (neg.f64 x))))
(fma.f64 x y (*.f64 z (*.f64 (fma.f64 y (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) (neg.f64 x))))
(fma.f64 z (*.f64 (fma.f64 y (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) (neg.f64 x)) (*.f64 x y))
(*.f64 x (+.f64 y (*.f64 z (neg.f64 (fma.f64 y (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64))))))
(*.f64 x (fma.f64 z (-.f64 #s(literal 1 binary64) (/.f64 (neg.f64 y) x)) y))
(fma.f64 x z (*.f64 y (+.f64 x z)))
(fma.f64 y (+.f64 x z) (*.f64 x z))
(*.f64 x y)
x
y
(*.f64 z (*.f64 (fma.f64 y (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) (neg.f64 x)))
(*.f64 x (*.f64 z (neg.f64 (fma.f64 y (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)))))
(*.f64 z (fma.f64 y (/.f64 x x) x))
(*.f64 z (+.f64 x y))
z
(*.f64 (fma.f64 y (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) (neg.f64 x))
(*.f64 x (neg.f64 (fma.f64 y (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64))))
(fma.f64 y (/.f64 x x) x)
(+.f64 x y)
(fma.f64 y (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64))
(-.f64 #s(literal -1 binary64) (/.f64 y x))
(/.f64 #s(literal -1 binary64) x)
#s(literal -1 binary64)
(neg.f64 x)
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 z x)))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 x z)))
#s(literal 2 binary64)
(sqrt.f64 (*.f64 z x))
(sqrt.f64 (*.f64 x z))
(*.f64 z x)
(*.f64 x z)
z
x
(*.f64 #s(literal 2 binary64) (pow.f64 (cbrt.f64 (*.f64 x y)) #s(literal 3/2 binary64)))
#s(literal 2 binary64)
(pow.f64 (cbrt.f64 (*.f64 x y)) #s(literal 3/2 binary64))
(cbrt.f64 (*.f64 x y))
(*.f64 x y)
x
y
#s(literal 3/2 binary64)
(*.f64 #s(literal 2 binary64) (*.f64 (cbrt.f64 (*.f64 x y)) (cbrt.f64 (sqrt.f64 (*.f64 x y)))))
(*.f64 (cbrt.f64 (sqrt.f64 (*.f64 x y))) (*.f64 #s(literal 2 binary64) (cbrt.f64 (*.f64 x y))))
#s(literal 2 binary64)
(*.f64 (cbrt.f64 (*.f64 x y)) (cbrt.f64 (sqrt.f64 (*.f64 x y))))
(cbrt.f64 (*.f64 x y))
(*.f64 x y)
x
y
(cbrt.f64 (sqrt.f64 (*.f64 x y)))
(sqrt.f64 (*.f64 x y))
(*.f64 #s(literal 2 binary64) (*.f64 z (+.f64 (*.f64 (sqrt.f64 (/.f64 (+.f64 y x) z)) #s(literal -1 binary64)) (*.f64 (*.f64 x (*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 x y) (pow.f64 z #s(literal 3 binary64))))))) #s(literal 1/2 binary64)))))
(*.f64 #s(literal 2 binary64) (*.f64 z (fma.f64 (sqrt.f64 (/.f64 (+.f64 x y) z)) #s(literal -1 binary64) (*.f64 (*.f64 x (*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 x y) (pow.f64 z #s(literal 3 binary64))))))) #s(literal 1/2 binary64)))))
(*.f64 (fma.f64 x (*.f64 y (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 x y) (pow.f64 z #s(literal 3 binary64))))) #s(literal 1/2 binary64))) (neg.f64 (sqrt.f64 (/.f64 (+.f64 x y) z)))) (*.f64 #s(literal 2 binary64) z))
(*.f64 #s(literal 2 binary64) (*.f64 z (-.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 x y) (pow.f64 z #s(literal 3 binary64))))) (*.f64 (*.f64 y #s(literal 1/2 binary64)) x)) (sqrt.f64 (/.f64 (+.f64 x y) z)))))
(fma.f64 z (*.f64 (sqrt.f64 (/.f64 (+.f64 x y) z)) #s(literal -2 binary64)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 x y) (pow.f64 z #s(literal 3 binary64))))) (*.f64 y (*.f64 x z))))
(*.f64 z (fma.f64 x (*.f64 y (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 x y)) (pow.f64 z #s(literal 3 binary64))))) (*.f64 (sqrt.f64 (/.f64 (+.f64 x y) z)) #s(literal -2 binary64))))
(*.f64 z (fma.f64 x (*.f64 y (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 3 binary64))) (+.f64 x y)))) (*.f64 (sqrt.f64 (/.f64 (+.f64 x y) z)) #s(literal -2 binary64))))
#s(literal 2 binary64)
(*.f64 z (+.f64 (*.f64 (sqrt.f64 (/.f64 (+.f64 y x) z)) #s(literal -1 binary64)) (*.f64 (*.f64 x (*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 x y) (pow.f64 z #s(literal 3 binary64))))))) #s(literal 1/2 binary64))))
(*.f64 z (fma.f64 (sqrt.f64 (/.f64 (+.f64 x y) z)) #s(literal -1 binary64) (*.f64 (*.f64 x (*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 x y) (pow.f64 z #s(literal 3 binary64))))))) #s(literal 1/2 binary64))))
(*.f64 z (fma.f64 x (*.f64 y (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 x y) (pow.f64 z #s(literal 3 binary64))))) #s(literal 1/2 binary64))) (neg.f64 (sqrt.f64 (/.f64 (+.f64 x y) z)))))
(*.f64 z (-.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 x y) (pow.f64 z #s(literal 3 binary64))))) (*.f64 (*.f64 y #s(literal 1/2 binary64)) x)) (sqrt.f64 (/.f64 (+.f64 x y) z))))
(*.f64 z (-.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 x y) (pow.f64 z #s(literal 3 binary64))))) (*.f64 x (*.f64 y #s(literal 1/2 binary64)))) (sqrt.f64 (/.f64 (+.f64 x y) z))))
(*.f64 z (-.f64 (*.f64 (*.f64 x y) (*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 x y)) (pow.f64 z #s(literal 3 binary64)))) #s(literal 1/2 binary64))) (sqrt.f64 (/.f64 (+.f64 x y) z))))
(*.f64 z (-.f64 (*.f64 (*.f64 x y) (*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 3 binary64))) (+.f64 x y))) #s(literal 1/2 binary64))) (sqrt.f64 (/.f64 (+.f64 x y) z))))
z
(+.f64 (*.f64 (sqrt.f64 (/.f64 (+.f64 y x) z)) #s(literal -1 binary64)) (*.f64 (*.f64 x (*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 x y) (pow.f64 z #s(literal 3 binary64))))))) #s(literal 1/2 binary64)))
(fma.f64 (sqrt.f64 (/.f64 (+.f64 x y) z)) #s(literal -1 binary64) (*.f64 (*.f64 x (*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 x y) (pow.f64 z #s(literal 3 binary64))))))) #s(literal 1/2 binary64)))
(fma.f64 x (*.f64 y (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 x y) (pow.f64 z #s(literal 3 binary64))))) #s(literal 1/2 binary64))) (neg.f64 (sqrt.f64 (/.f64 (+.f64 x y) z))))
(-.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 x y) (pow.f64 z #s(literal 3 binary64))))) (*.f64 (*.f64 y #s(literal 1/2 binary64)) x)) (sqrt.f64 (/.f64 (+.f64 x y) z)))
(-.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 x y) (pow.f64 z #s(literal 3 binary64))))) (*.f64 x (*.f64 y #s(literal 1/2 binary64)))) (sqrt.f64 (/.f64 (+.f64 x y) z)))
(-.f64 (*.f64 (*.f64 x y) (*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 x y)) (pow.f64 z #s(literal 3 binary64)))) #s(literal 1/2 binary64))) (sqrt.f64 (/.f64 (+.f64 x y) z)))
(-.f64 (*.f64 (*.f64 x y) (*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 3 binary64))) (+.f64 x y))) #s(literal 1/2 binary64))) (sqrt.f64 (/.f64 (+.f64 x y) z)))
(*.f64 (sqrt.f64 (/.f64 (+.f64 y x) z)) #s(literal -1 binary64))
(*.f64 #s(literal -1 binary64) (sqrt.f64 (/.f64 (+.f64 x y) z)))
(neg.f64 (sqrt.f64 (/.f64 (+.f64 x y) z)))
(sqrt.f64 (/.f64 (+.f64 y x) z))
(sqrt.f64 (/.f64 (+.f64 x y) z))
(/.f64 (+.f64 y x) z)
(/.f64 (+.f64 x y) z)
(+.f64 y x)
(*.f64 (fma.f64 y (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) (neg.f64 x))
(*.f64 x (neg.f64 (fma.f64 y (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64))))
(fma.f64 y (/.f64 x x) x)
(+.f64 x y)
y
x
#s(literal -1 binary64)
(*.f64 (*.f64 x (*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 x y) (pow.f64 z #s(literal 3 binary64))))))) #s(literal 1/2 binary64))
(*.f64 (*.f64 (*.f64 x y) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 x y) (pow.f64 z #s(literal 3 binary64)))))) #s(literal 1/2 binary64))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 x y) (pow.f64 z #s(literal 3 binary64))))) (*.f64 (*.f64 y #s(literal 1/2 binary64)) x))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 x y) (pow.f64 z #s(literal 3 binary64))))) (*.f64 x (*.f64 y #s(literal 1/2 binary64))))
(*.f64 (*.f64 x y) (*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 x y)) (pow.f64 z #s(literal 3 binary64)))) #s(literal 1/2 binary64)))
(*.f64 (*.f64 x y) (*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 3 binary64))) (+.f64 x y))) #s(literal 1/2 binary64)))
(*.f64 x (*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 x y) (pow.f64 z #s(literal 3 binary64)))))))
(*.f64 (*.f64 x y) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 x y) (pow.f64 z #s(literal 3 binary64))))))
(*.f64 (*.f64 x y) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 x y)) (pow.f64 z #s(literal 3 binary64)))))
(*.f64 x (*.f64 y (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 3 binary64))) (+.f64 x y)))))
(*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 x y) (pow.f64 z #s(literal 3 binary64))))))
(*.f64 y (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 x y)) (pow.f64 z #s(literal 3 binary64)))))
(*.f64 y (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 3 binary64))) (+.f64 x y))))
(sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 x y) (pow.f64 z #s(literal 3 binary64)))))
(sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 x y)) (pow.f64 z #s(literal 3 binary64))))
(sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 3 binary64))) (+.f64 x y)))
(/.f64 #s(literal 1 binary64) (*.f64 (+.f64 x y) (pow.f64 z #s(literal 3 binary64))))
(/.f64 (/.f64 #s(literal 1 binary64) (+.f64 x y)) (pow.f64 z #s(literal 3 binary64)))
(/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 3 binary64))) (+.f64 x y))
#s(literal 1 binary64)
(*.f64 (+.f64 x y) (pow.f64 z #s(literal 3 binary64)))
(+.f64 x y)
(*.f64 (fma.f64 y (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) (neg.f64 x))
(*.f64 x (neg.f64 (fma.f64 y (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64))))
(fma.f64 y (/.f64 x x) x)
(pow.f64 z #s(literal 3 binary64))
#s(literal 3 binary64)
#s(literal 1/2 binary64)

localize446.0ms (3.2%)

Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
accuracy92.7%
(*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 x y) (pow.f64 z #s(literal 3 binary64))))))
accuracy91.5%
(*.f64 z (+.f64 (*.f64 (sqrt.f64 (/.f64 (+.f64 y x) z)) #s(literal -1 binary64)) (*.f64 (*.f64 x (*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 x y) (pow.f64 z #s(literal 3 binary64))))))) #s(literal 1/2 binary64))))
accuracy85.7%
(sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 x y) (pow.f64 z #s(literal 3 binary64)))))
accuracy84.5%
(sqrt.f64 (/.f64 (+.f64 y x) z))
accuracy99.7%
(*.f64 (cbrt.f64 (*.f64 x y)) (cbrt.f64 (sqrt.f64 (*.f64 x y))))
accuracy99.6%
(cbrt.f64 (sqrt.f64 (*.f64 x y)))
accuracy84.0%
(sqrt.f64 (*.f64 x y))
accuracy83.5%
(cbrt.f64 (*.f64 x y))
accuracy100.0%
(*.f64 x y)
accuracy100.0%
(*.f64 #s(literal 2 binary64) (pow.f64 (cbrt.f64 (*.f64 x y)) #s(literal 3/2 binary64)))
accuracy99.7%
(pow.f64 (cbrt.f64 (*.f64 x y)) #s(literal 3/2 binary64))
accuracy83.5%
(cbrt.f64 (*.f64 x y))
accuracy100.0%
(*.f64 z x)
accuracy100.0%
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 z x)))
accuracy94.0%
(sqrt.f64 (*.f64 z x))
accuracy100.0%
(*.f64 z (*.f64 (fma.f64 y (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) (neg.f64 x)))
accuracy99.9%
(fma.f64 y (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64))
accuracy98.1%
(*.f64 (fma.f64 y (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) (neg.f64 x))
accuracy84.5%
(sqrt.f64 (+.f64 (*.f64 x y) (*.f64 z (*.f64 (fma.f64 y (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) (neg.f64 x)))))
Results
211.0ms124×0invalid
106.0ms132×0valid
Compiler

Compiled 359 to 44 computations (87.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 71.0ms
ival-mult: 27.0ms (37.8% of total)
ival-pow: 12.0ms (16.8% of total)
ival-add: 9.0ms (12.6% of total)
ival-sqrt: 9.0ms (12.6% of total)
ival-div: 6.0ms (8.4% of total)
ival-fma: 3.0ms (4.2% of total)
ival-cbrt: 3.0ms (4.2% of total)
const: 1.0ms (1.4% of total)
ival-neg: 1.0ms (1.4% of total)
backward-pass: 0.0ms (0% of total)

series372.0ms (2.7%)

Counts
17 → 492
Calls
Call 1
Inputs
#<alt (*.f64 z (*.f64 (fma.f64 y (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) (neg.f64 x)))>
#<alt (*.f64 (fma.f64 y (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) (neg.f64 x))>
#<alt (fma.f64 y (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64))>
#<alt (*.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (*.f64 x y) (*.f64 z (*.f64 (fma.f64 y (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) (neg.f64 x))))))>
#<alt (*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 z x)))>
#<alt (sqrt.f64 (*.f64 z x))>
#<alt (*.f64 z x)>
#<alt (*.f64 #s(literal 2 binary64) (pow.f64 (cbrt.f64 (*.f64 x y)) #s(literal 3/2 binary64)))>
#<alt (pow.f64 (cbrt.f64 (*.f64 x y)) #s(literal 3/2 binary64))>
#<alt (*.f64 #s(literal 2 binary64) (*.f64 (cbrt.f64 (*.f64 x y)) (cbrt.f64 (sqrt.f64 (*.f64 x y)))))>
#<alt (*.f64 (cbrt.f64 (*.f64 x y)) (cbrt.f64 (sqrt.f64 (*.f64 x y))))>
#<alt (*.f64 z (+.f64 (*.f64 (sqrt.f64 (/.f64 (+.f64 y x) z)) #s(literal -1 binary64)) (*.f64 (*.f64 x (*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 x y) (pow.f64 z #s(literal 3 binary64))))))) #s(literal 1/2 binary64))))>
#<alt (+.f64 (*.f64 (sqrt.f64 (/.f64 (+.f64 y x) z)) #s(literal -1 binary64)) (*.f64 (*.f64 x (*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 x y) (pow.f64 z #s(literal 3 binary64))))))) #s(literal 1/2 binary64)))>
#<alt (*.f64 (sqrt.f64 (/.f64 (+.f64 y x) z)) #s(literal -1 binary64))>
#<alt (sqrt.f64 (/.f64 (+.f64 y x) z))>
#<alt (sqrt.f64 (+.f64 (*.f64 x y) (*.f64 z (*.f64 (fma.f64 y (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) (neg.f64 x)))))>
#<alt (cbrt.f64 (sqrt.f64 (*.f64 x y)))>
Outputs
#<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 x (*.f64 z (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 y x)) #s(literal 1 binary64)))))>
#<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 x (*.f64 z (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 y x)) #s(literal 1 binary64)))))>
#<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 x (*.f64 z (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 y x)) #s(literal 1 binary64)))))>
#<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 x (*.f64 z (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 y x)) #s(literal 1 binary64)))))>
#<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 x (*.f64 z (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 y x)) #s(literal 1 binary64)))))>
#<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 x (*.f64 z (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 y x)) #s(literal 1 binary64)))))>
#<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)))))>
#<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 x>
#<alt (+.f64 x y)>
#<alt (+.f64 x y)>
#<alt (+.f64 x y)>
#<alt y>
#<alt (*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 x y)))>
#<alt (*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 x y)))>
#<alt (*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 x y)))>
#<alt y>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x y)) #s(literal 1 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x y)) #s(literal 1 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x y)) #s(literal 1 binary64))))>
#<alt y>
#<alt (+.f64 x y)>
#<alt (+.f64 x y)>
#<alt (+.f64 x y)>
#<alt x>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 y x)))>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 y x)))>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 y x)))>
#<alt x>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 y x)) #s(literal 1 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 y x)) #s(literal 1 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 y x)) #s(literal 1 binary64))))>
#<alt #s(literal -1 binary64)>
#<alt (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 y x)) #s(literal 1 binary64))>
#<alt (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 y x)) #s(literal 1 binary64))>
#<alt (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 y x)) #s(literal 1 binary64))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 y x))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) y))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) y))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) y))))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 y x))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) y))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) y))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) y))))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 y x))>
#<alt (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1 binary64) y)) x)>
#<alt (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1 binary64) y)) x)>
#<alt (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1 binary64) y)) x)>
#<alt #s(literal -1 binary64)>
#<alt (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 y x)) #s(literal 1 binary64))>
#<alt (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 y x)) #s(literal 1 binary64))>
#<alt (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 y x)) #s(literal 1 binary64))>
#<alt #s(literal -1 binary64)>
#<alt (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 y x)) #s(literal 1 binary64))>
#<alt (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 y x)) #s(literal 1 binary64))>
#<alt (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 y x)) #s(literal 1 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 (*.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))))))>
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#<alt (*.f64 (exp.f64 (*.f64 #s(literal 1/6 binary64) (+.f64 (log.f64 y) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x)))))) (cbrt.f64 (sqrt.f64 #s(literal -1 binary64))))>
#<alt (*.f64 (exp.f64 (*.f64 #s(literal 1/6 binary64) (+.f64 (log.f64 y) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x)))))) (cbrt.f64 (sqrt.f64 #s(literal -1 binary64))))>
#<alt (*.f64 (exp.f64 (*.f64 #s(literal 1/6 binary64) (+.f64 (log.f64 y) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x)))))) (cbrt.f64 (sqrt.f64 #s(literal -1 binary64))))>
#<alt (exp.f64 (*.f64 #s(literal 1/6 binary64) (+.f64 (log.f64 x) (log.f64 y))))>
#<alt (exp.f64 (*.f64 #s(literal 1/6 binary64) (+.f64 (log.f64 x) (log.f64 y))))>
#<alt (exp.f64 (*.f64 #s(literal 1/6 binary64) (+.f64 (log.f64 x) (log.f64 y))))>
#<alt (exp.f64 (*.f64 #s(literal 1/6 binary64) (+.f64 (log.f64 x) (log.f64 y))))>
#<alt (exp.f64 (*.f64 #s(literal 1/6 binary64) (+.f64 (log.f64 x) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) y))))))>
#<alt (exp.f64 (*.f64 #s(literal 1/6 binary64) (+.f64 (log.f64 x) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) y))))))>
#<alt (exp.f64 (*.f64 #s(literal 1/6 binary64) (+.f64 (log.f64 x) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) y))))))>
#<alt (exp.f64 (*.f64 #s(literal 1/6 binary64) (+.f64 (log.f64 x) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) y))))))>
#<alt (*.f64 (exp.f64 (*.f64 #s(literal 1/6 binary64) (+.f64 (log.f64 x) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) y)))))) (cbrt.f64 (sqrt.f64 #s(literal -1 binary64))))>
#<alt (*.f64 (exp.f64 (*.f64 #s(literal 1/6 binary64) (+.f64 (log.f64 x) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) y)))))) (cbrt.f64 (sqrt.f64 #s(literal -1 binary64))))>
#<alt (*.f64 (exp.f64 (*.f64 #s(literal 1/6 binary64) (+.f64 (log.f64 x) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) y)))))) (cbrt.f64 (sqrt.f64 #s(literal -1 binary64))))>
#<alt (*.f64 (exp.f64 (*.f64 #s(literal 1/6 binary64) (+.f64 (log.f64 x) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) y)))))) (cbrt.f64 (sqrt.f64 #s(literal -1 binary64))))>
Calls

123 calls:

TimeVariablePointExpression
115.0ms
x
@0
(* 2 (* (cbrt (* x y)) (cbrt (sqrt (* x y)))))
66.0ms
x
@-inf
(* z (+ (* (sqrt (/ (+ y x) z)) -1) (* (* x (* y (sqrt (/ 1 (* (+ x y) (pow z 3)))))) 1/2)))
17.0ms
x
@0
(cbrt (sqrt (* x y)))
16.0ms
y
@-inf
(* z (* (+ (* y (/ -1 x)) -1) (neg x)))
15.0ms
y
@0
(cbrt (sqrt (* x y)))

rewrite204.0ms (1.5%)

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

Useful iterations: 1 (0.0ms)

IterNodesCost
050661
1820611
Stop Event
node limit
Counts
17 → 323
Calls
Call 1
Inputs
(*.f64 z (*.f64 (fma.f64 y (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) (neg.f64 x)))
(*.f64 (fma.f64 y (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) (neg.f64 x))
(fma.f64 y (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (*.f64 x y) (*.f64 z (*.f64 (fma.f64 y (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) (neg.f64 x))))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 z x)))
(sqrt.f64 (*.f64 z x))
(*.f64 z x)
(*.f64 #s(literal 2 binary64) (pow.f64 (cbrt.f64 (*.f64 x y)) #s(literal 3/2 binary64)))
(pow.f64 (cbrt.f64 (*.f64 x y)) #s(literal 3/2 binary64))
(*.f64 #s(literal 2 binary64) (*.f64 (cbrt.f64 (*.f64 x y)) (cbrt.f64 (sqrt.f64 (*.f64 x y)))))
(*.f64 (cbrt.f64 (*.f64 x y)) (cbrt.f64 (sqrt.f64 (*.f64 x y))))
(*.f64 z (+.f64 (*.f64 (sqrt.f64 (/.f64 (+.f64 y x) z)) #s(literal -1 binary64)) (*.f64 (*.f64 x (*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 x y) (pow.f64 z #s(literal 3 binary64))))))) #s(literal 1/2 binary64))))
(+.f64 (*.f64 (sqrt.f64 (/.f64 (+.f64 y x) z)) #s(literal -1 binary64)) (*.f64 (*.f64 x (*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 x y) (pow.f64 z #s(literal 3 binary64))))))) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 (/.f64 (+.f64 y x) z)) #s(literal -1 binary64))
(sqrt.f64 (/.f64 (+.f64 y x) z))
(sqrt.f64 (+.f64 (*.f64 x y) (*.f64 z (*.f64 (fma.f64 y (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) (neg.f64 x)))))
(cbrt.f64 (sqrt.f64 (*.f64 x y)))
Outputs
(-.f64 (exp.f64 (log1p.f64 (*.f64 (*.f64 z (fma.f64 y (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64))) x))) #s(literal 1 binary64))
(pow.f64 (*.f64 (*.f64 z (fma.f64 y (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64))) x) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 (*.f64 z (fma.f64 y (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64))) x)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 (*.f64 z (fma.f64 y (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64))) x) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 (*.f64 z (fma.f64 y (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64))) x)) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 (*.f64 z (fma.f64 y (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64))) x) #s(literal 2 binary64)))
(log.f64 (pow.f64 (pow.f64 (exp.f64 x) (fma.f64 y (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64))) z))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (*.f64 z (fma.f64 y (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64))) x))))
(cbrt.f64 (pow.f64 (*.f64 (*.f64 z (fma.f64 y (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64))) x) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 (*.f64 z (fma.f64 y (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64))) x)))
(log1p.f64 (expm1.f64 (*.f64 (*.f64 z (fma.f64 y (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64))) x)))
(exp.f64 (log.f64 (*.f64 (*.f64 z (fma.f64 y (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64))) x)))
(exp.f64 (*.f64 (log.f64 (*.f64 (*.f64 z (fma.f64 y (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64))) x)) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x (fma.f64 y (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64))))) #s(literal 1 binary64))
(pow.f64 (*.f64 x (fma.f64 y (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 x (fma.f64 y (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 x (fma.f64 y (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 x (fma.f64 y (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)))) #s(literal 2 binary64))
(neg.f64 (*.f64 x (fma.f64 y (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64))))
(sqrt.f64 (pow.f64 (*.f64 x (fma.f64 y (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64))) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 x) (fma.f64 y (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x (fma.f64 y (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64))))))
(cbrt.f64 (pow.f64 (*.f64 x (fma.f64 y (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64))) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 (fma.f64 y (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (fma.f64 y (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 x (fma.f64 y (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)))))
(log1p.f64 (expm1.f64 (*.f64 x (fma.f64 y (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)))))
(exp.f64 (log.f64 (*.f64 x (fma.f64 y (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)))))
(exp.f64 (*.f64 (log.f64 (*.f64 x (fma.f64 y (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)))) #s(literal 1 binary64)))
(+.f64 (*.f64 y (/.f64 #s(literal -1 binary64) x)) #s(literal -1 binary64))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 y (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (fma.f64 y (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)))
(*.f64 (cbrt.f64 (pow.f64 (fma.f64 y (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) #s(literal 2 binary64))) (cbrt.f64 (fma.f64 y (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64))))
(*.f64 (sqrt.f64 (fma.f64 y (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64))) (sqrt.f64 (fma.f64 y (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64))))
(pow.f64 (fma.f64 y (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (fma.f64 y (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (fma.f64 y (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (fma.f64 y (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (fma.f64 y (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) #s(literal 2 binary64)))
(log.f64 (exp.f64 (fma.f64 y (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 y (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)))))
(cbrt.f64 (pow.f64 (fma.f64 y (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (fma.f64 y (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64))))
(log1p.f64 (expm1.f64 (fma.f64 y (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64))))
(exp.f64 (log.f64 (fma.f64 y (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64))))
(exp.f64 (*.f64 (log.f64 (fma.f64 y (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (fma.f64 (*.f64 z (fma.f64 y (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64))) x (*.f64 y x)))))) #s(literal 1 binary64))
(pow.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (fma.f64 (*.f64 z (fma.f64 y (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64))) x (*.f64 y x)))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (fma.f64 (*.f64 z (fma.f64 y (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64))) x (*.f64 y x))))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (fma.f64 (*.f64 z (fma.f64 y (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64))) 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 (*.f64 z (fma.f64 y (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64))) x (*.f64 y x))))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (fma.f64 (*.f64 z (fma.f64 y (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64))) x (*.f64 y x)))) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (sqrt.f64 (fma.f64 (*.f64 z (fma.f64 y (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64))) x (*.f64 y x)))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (fma.f64 (*.f64 z (fma.f64 y (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64))) x (*.f64 y x)))))))
(cbrt.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (fma.f64 (*.f64 z (fma.f64 y (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64))) x (*.f64 y x)))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (fma.f64 (*.f64 z (fma.f64 y (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64))) x (*.f64 y x))))))
(log1p.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (fma.f64 (*.f64 z (fma.f64 y (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64))) x (*.f64 y x))))))
(exp.f64 (log.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (fma.f64 (*.f64 z (fma.f64 y (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64))) x (*.f64 y x))))))
(exp.f64 (*.f64 (log.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (fma.f64 (*.f64 z (fma.f64 y (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64))) x (*.f64 y x))))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 z x))))) #s(literal 1 binary64))
(pow.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 z x))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 z x)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 z x))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 z x)))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 z x))) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 (sqrt.f64 (*.f64 z x))) #s(literal 2 binary64)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 z x))))))
(cbrt.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 z x))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 z x)))))
(log1p.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 z x)))))
(exp.f64 (log.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 z x)))))
(exp.f64 (*.f64 (log.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 z x)))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (*.f64 z x)))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 z x)))
(*.f64 (cbrt.f64 (*.f64 z x)) (cbrt.f64 (sqrt.f64 (*.f64 z x))))
(*.f64 (sqrt.f64 x) (sqrt.f64 z))
(*.f64 (sqrt.f64 z) (sqrt.f64 x))
(*.f64 (pow.f64 (*.f64 z x) #s(literal 1/4 binary64)) (pow.f64 (*.f64 z x) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/2 binary64)) (sqrt.f64 (*.f64 z x)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (*.f64 z x)) #s(literal 2 binary64)) #s(literal 1/2 binary64)) (pow.f64 (cbrt.f64 (*.f64 z x)) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 z x)) #s(literal 2 binary64))) (sqrt.f64 (cbrt.f64 (*.f64 z x))))
(pow.f64 (*.f64 z x) #s(literal 1/2 binary64))
(pow.f64 (sqrt.f64 (*.f64 z x)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (sqrt.f64 (*.f64 z x))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 z x) #s(literal 3/2 binary64)) #s(literal 1/3 binary64))
(pow.f64 (pow.f64 (*.f64 z x) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(fabs.f64 (sqrt.f64 (*.f64 z x)))
(log.f64 (exp.f64 (sqrt.f64 (*.f64 z x))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (sqrt.f64 (*.f64 z x)))))
(cbrt.f64 (pow.f64 (*.f64 z x) #s(literal 3/2 binary64)))
(expm1.f64 (log1p.f64 (sqrt.f64 (*.f64 z x))))
(log1p.f64 (expm1.f64 (sqrt.f64 (*.f64 z x))))
(exp.f64 (log.f64 (sqrt.f64 (*.f64 z x))))
(exp.f64 (*.f64 (log.f64 (*.f64 z x)) #s(literal 1/2 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 z x))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 z x))) #s(literal 1 binary64))
(pow.f64 (*.f64 z x) #s(literal 1 binary64))
(pow.f64 (sqrt.f64 (*.f64 z x)) #s(literal 2 binary64))
(pow.f64 (cbrt.f64 (*.f64 z x)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 z x) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (*.f64 z x) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(sqrt.f64 (pow.f64 (*.f64 z x) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 x) z))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 z x))))
(cbrt.f64 (pow.f64 (*.f64 z x) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 x #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 (*.f64 z x) #s(literal 3/2 binary64)) (pow.f64 (*.f64 z x) #s(literal 3/2 binary64))))
(expm1.f64 (log1p.f64 (*.f64 z x)))
(log1p.f64 (expm1.f64 (*.f64 z x)))
(exp.f64 (log.f64 (*.f64 z x)))
(exp.f64 (*.f64 (log.f64 (*.f64 z x)) #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))
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(exp.f64 (*.f64 (log.f64 (fma.f64 #s(literal -1 binary64) (sqrt.f64 (/.f64 (+.f64 y x) z)) (*.f64 (*.f64 (*.f64 y x) (pow.f64 (*.f64 (+.f64 y x) (pow.f64 z #s(literal 3 binary64))) #s(literal -1/2 binary64))) #s(literal 1/2 binary64)))) #s(literal 1 binary64)))
(fma.f64 #s(literal -1 binary64) (sqrt.f64 (/.f64 (+.f64 y x) z)) (*.f64 (*.f64 (*.f64 y x) (pow.f64 (*.f64 (+.f64 y x) (pow.f64 z #s(literal 3 binary64))) #s(literal -1/2 binary64))) #s(literal 1/2 binary64)))
(fma.f64 x (*.f64 (*.f64 y (pow.f64 (*.f64 (+.f64 y x) (pow.f64 z #s(literal 3 binary64))) #s(literal -1/2 binary64))) #s(literal 1/2 binary64)) (*.f64 #s(literal -1 binary64) (sqrt.f64 (/.f64 (+.f64 y x) z))))
(fma.f64 (sqrt.f64 (/.f64 (+.f64 y x) z)) #s(literal -1 binary64) (*.f64 (*.f64 (*.f64 y x) (pow.f64 (*.f64 (+.f64 y x) (pow.f64 z #s(literal 3 binary64))) #s(literal -1/2 binary64))) #s(literal 1/2 binary64)))
(fma.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (sqrt.f64 (/.f64 (+.f64 y x) z))) (*.f64 (*.f64 (*.f64 y x) (pow.f64 (*.f64 (+.f64 y x) (pow.f64 z #s(literal 3 binary64))) #s(literal -1/2 binary64))) #s(literal 1/2 binary64)))
(fma.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 y x) (pow.f64 (*.f64 (+.f64 y x) (pow.f64 z #s(literal 3 binary64))) #s(literal -1/2 binary64))) #s(literal 1/2 binary64)) (*.f64 #s(literal -1 binary64) (sqrt.f64 (/.f64 (+.f64 y x) z))))
(fma.f64 (*.f64 (*.f64 y x) (pow.f64 (*.f64 (+.f64 y x) (pow.f64 z #s(literal 3 binary64))) #s(literal -1/2 binary64))) #s(literal 1/2 binary64) (*.f64 #s(literal -1 binary64) (sqrt.f64 (/.f64 (+.f64 y x) z))))
(fma.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 y x) (pow.f64 (*.f64 (+.f64 y x) (pow.f64 z #s(literal 3 binary64))) #s(literal -1/2 binary64))) (*.f64 #s(literal -1 binary64) (sqrt.f64 (/.f64 (+.f64 y x) z))))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 (/.f64 (+.f64 y x) z)))) #s(literal 2 binary64)) (cbrt.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 (/.f64 (+.f64 y x) z)))) (*.f64 (*.f64 (*.f64 y x) (pow.f64 (*.f64 (+.f64 y x) (pow.f64 z #s(literal 3 binary64))) #s(literal -1/2 binary64))) #s(literal 1/2 binary64)))
(fma.f64 (cbrt.f64 (pow.f64 (*.f64 (*.f64 (*.f64 y x) (pow.f64 (*.f64 (+.f64 y x) (pow.f64 z #s(literal 3 binary64))) #s(literal -1/2 binary64))) #s(literal 1/2 binary64)) #s(literal 2 binary64))) (cbrt.f64 (*.f64 (*.f64 (*.f64 y x) (pow.f64 (*.f64 (+.f64 y x) (pow.f64 z #s(literal 3 binary64))) #s(literal -1/2 binary64))) #s(literal 1/2 binary64))) (*.f64 #s(literal -1 binary64) (sqrt.f64 (/.f64 (+.f64 y x) z))))
(fma.f64 (sqrt.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 (/.f64 (+.f64 y x) z)))) (sqrt.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 (/.f64 (+.f64 y x) z)))) (*.f64 (*.f64 (*.f64 y x) (pow.f64 (*.f64 (+.f64 y x) (pow.f64 z #s(literal 3 binary64))) #s(literal -1/2 binary64))) #s(literal 1/2 binary64)))
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(-.f64 (exp.f64 (log1p.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 (/.f64 (+.f64 y x) z))))) #s(literal 1 binary64))
(pow.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 (/.f64 (+.f64 y x) z))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 (/.f64 (+.f64 y x) z)))) #s(literal 3 binary64))
(pow.f64 (*.f64 #s(literal -1 binary64) (pow.f64 (/.f64 (+.f64 y x) z) #s(literal 3/2 binary64))) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 (/.f64 (+.f64 y x) z)))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 (/.f64 (+.f64 y x) z))) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 (+.f64 y x) z))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 (/.f64 (+.f64 y x) z))))))
(cbrt.f64 (*.f64 #s(literal -1 binary64) (pow.f64 (/.f64 (+.f64 y x) z) #s(literal 3/2 binary64))))
(expm1.f64 (log1p.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 (/.f64 (+.f64 y x) z)))))
(log1p.f64 (expm1.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 (/.f64 (+.f64 y x) z)))))
(exp.f64 (log.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 (/.f64 (+.f64 y x) z)))))
(exp.f64 (*.f64 (log.f64 (*.f64 #s(literal -1 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))
(*.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 (+.f64 y x) z)))
(*.f64 (cbrt.f64 (/.f64 (+.f64 y x) z)) (cbrt.f64 (sqrt.f64 (/.f64 (+.f64 y x) z))))
(*.f64 (sqrt.f64 (+.f64 y x)) (pow.f64 (/.f64 #s(literal 1 binary64) z) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 (+.f64 y x)) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))
(*.f64 (pow.f64 (/.f64 (+.f64 y x) z) #s(literal 1/4 binary64)) (pow.f64 (/.f64 (+.f64 y x) z) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/2 binary64)) (sqrt.f64 (/.f64 (+.f64 y x) z)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 y x) z)) #s(literal 2 binary64)) #s(literal 1/2 binary64)) (pow.f64 (cbrt.f64 (/.f64 (+.f64 y x) z)) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 y x) z)) #s(literal 2 binary64))) (sqrt.f64 (cbrt.f64 (/.f64 (+.f64 y x) z))))
(/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 z (+.f64 y x))))
(/.f64 (sqrt.f64 (+.f64 y x)) (sqrt.f64 z))
(/.f64 (sqrt.f64 (neg.f64 (+.f64 y x))) (sqrt.f64 (neg.f64 z)))
(/.f64 (neg.f64 (sqrt.f64 (+.f64 y x))) (neg.f64 (sqrt.f64 z)))
(pow.f64 (/.f64 (+.f64 y x) z) #s(literal 1/2 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 (/.f64 (+.f64 y x) z) #s(literal 3/2 binary64)) #s(literal 1/3 binary64))
(pow.f64 (pow.f64 (/.f64 (+.f64 y x) z) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(fabs.f64 (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 (/.f64 (+.f64 y x) z) #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 (/.f64 (+.f64 y x) z)) #s(literal 1/2 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 (+.f64 y x) z))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (fma.f64 (*.f64 z (fma.f64 y (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64))) x (*.f64 y x))))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 (*.f64 z (fma.f64 y (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64))) x (*.f64 y x))))
(*.f64 (cbrt.f64 (fma.f64 (*.f64 z (fma.f64 y (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64))) x (*.f64 y x))) (cbrt.f64 (sqrt.f64 (fma.f64 (*.f64 z (fma.f64 y (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64))) x (*.f64 y x)))))
(*.f64 (pow.f64 (fma.f64 (*.f64 z (fma.f64 y (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64))) x (*.f64 y x)) #s(literal 1/4 binary64)) (pow.f64 (fma.f64 (*.f64 z (fma.f64 y (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64))) 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 (*.f64 z (fma.f64 y (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64))) x (*.f64 y x))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (fma.f64 (*.f64 z (fma.f64 y (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64))) x (*.f64 y x))) #s(literal 2 binary64)) #s(literal 1/2 binary64)) (pow.f64 (cbrt.f64 (fma.f64 (*.f64 z (fma.f64 y (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64))) x (*.f64 y x))) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 (*.f64 z (fma.f64 y (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64))) x (*.f64 y x))) #s(literal 2 binary64))) (sqrt.f64 (cbrt.f64 (fma.f64 (*.f64 z (fma.f64 y (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64))) x (*.f64 y x)))))
(/.f64 (sqrt.f64 (-.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (pow.f64 (*.f64 (*.f64 z (fma.f64 y (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64))) x) #s(literal 2 binary64)))) (sqrt.f64 (-.f64 (*.f64 y x) (*.f64 (*.f64 z (fma.f64 y (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64))) x))))
(/.f64 (sqrt.f64 (+.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 z (fma.f64 y (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64))) x) #s(literal 3 binary64)))) (sqrt.f64 (+.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 (*.f64 z (fma.f64 y (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64))) x) #s(literal 2 binary64)) (*.f64 (*.f64 y x) (*.f64 (*.f64 z (fma.f64 y (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64))) x))))))
(pow.f64 (fma.f64 (*.f64 z (fma.f64 y (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64))) x (*.f64 y x)) #s(literal 1/2 binary64))
(pow.f64 (sqrt.f64 (fma.f64 (*.f64 z (fma.f64 y (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64))) x (*.f64 y x))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (sqrt.f64 (fma.f64 (*.f64 z (fma.f64 y (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64))) x (*.f64 y x)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (fma.f64 (*.f64 z (fma.f64 y (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64))) x (*.f64 y x)) #s(literal 3/2 binary64)) #s(literal 1/3 binary64))
(pow.f64 (pow.f64 (fma.f64 (*.f64 z (fma.f64 y (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64))) x (*.f64 y x)) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(fabs.f64 (sqrt.f64 (fma.f64 (*.f64 z (fma.f64 y (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64))) x (*.f64 y x))))
(log.f64 (exp.f64 (sqrt.f64 (fma.f64 (*.f64 z (fma.f64 y (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64))) x (*.f64 y x)))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (sqrt.f64 (fma.f64 (*.f64 z (fma.f64 y (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64))) x (*.f64 y x))))))
(cbrt.f64 (pow.f64 (fma.f64 (*.f64 z (fma.f64 y (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64))) x (*.f64 y x)) #s(literal 3/2 binary64)))
(expm1.f64 (log1p.f64 (sqrt.f64 (fma.f64 (*.f64 z (fma.f64 y (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64))) x (*.f64 y x)))))
(hypot.f64 (sqrt.f64 (*.f64 y x)) (sqrt.f64 (*.f64 (*.f64 z (fma.f64 y (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64))) x)))
(hypot.f64 (sqrt.f64 (*.f64 (*.f64 z (fma.f64 y (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64))) x)) (sqrt.f64 (*.f64 y x)))
(log1p.f64 (expm1.f64 (sqrt.f64 (fma.f64 (*.f64 z (fma.f64 y (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64))) x (*.f64 y x)))))
(exp.f64 (log.f64 (sqrt.f64 (fma.f64 (*.f64 z (fma.f64 y (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64))) x (*.f64 y x)))))
(exp.f64 (*.f64 (log.f64 (fma.f64 (*.f64 z (fma.f64 y (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64))) x (*.f64 y x))) #s(literal 1/2 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (fma.f64 (*.f64 z (fma.f64 y (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64))) x (*.f64 y x)))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (*.f64 y x) #s(literal 1/6 binary64)))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 1/6 binary64)))
(*.f64 (cbrt.f64 (cbrt.f64 (*.f64 y x))) (cbrt.f64 (pow.f64 (*.f64 y x) #s(literal 1/6 binary64))))
(*.f64 (cbrt.f64 (pow.f64 (*.f64 y x) #s(literal 1/6 binary64))) (cbrt.f64 (cbrt.f64 (*.f64 y x))))
(*.f64 (pow.f64 (sqrt.f64 (*.f64 y x)) #s(literal 1/6 binary64)) (pow.f64 (sqrt.f64 (*.f64 y x)) #s(literal 1/6 binary64)))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/3 binary64)) (pow.f64 (*.f64 y x) #s(literal 1/6 binary64)))
(*.f64 (pow.f64 (sqrt.f64 x) #s(literal 1/3 binary64)) (pow.f64 (sqrt.f64 y) #s(literal 1/3 binary64)))
(*.f64 (pow.f64 (pow.f64 (*.f64 y x) #s(literal 1/4 binary64)) #s(literal 1/3 binary64)) (pow.f64 (pow.f64 (*.f64 y x) #s(literal 1/4 binary64)) #s(literal 1/3 binary64)))
(*.f64 (cbrt.f64 (sqrt.f64 x)) (cbrt.f64 (sqrt.f64 y)))
(*.f64 (sqrt.f64 (cbrt.f64 x)) (sqrt.f64 (cbrt.f64 y)))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 y x))) #s(literal 2 binary64))) (sqrt.f64 (cbrt.f64 (cbrt.f64 (*.f64 y x)))))
(pow.f64 (*.f64 y x) #s(literal 1/6 binary64))
(pow.f64 (cbrt.f64 (*.f64 y x)) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (*.f64 y x) #s(literal 1/6 binary64)) #s(literal 1 binary64))
(pow.f64 (sqrt.f64 (*.f64 y x)) #s(literal 1/3 binary64))
(pow.f64 (cbrt.f64 (pow.f64 (*.f64 y x) #s(literal 1/6 binary64))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (sqrt.f64 (*.f64 y x)) #s(literal 1/6 binary64)) #s(literal 2 binary64))
(sqrt.f64 (cbrt.f64 (*.f64 y x)))
(fabs.f64 (pow.f64 (*.f64 y x) #s(literal 1/6 binary64)))
(log.f64 (exp.f64 (pow.f64 (*.f64 y x) #s(literal 1/6 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (pow.f64 (*.f64 y x) #s(literal 1/6 binary64)))))
(expm1.f64 (log1p.f64 (pow.f64 (*.f64 y x) #s(literal 1/6 binary64))))
(log1p.f64 (expm1.f64 (pow.f64 (*.f64 y x) #s(literal 1/6 binary64))))
(exp.f64 (log.f64 (pow.f64 (*.f64 y x) #s(literal 1/6 binary64))))
(exp.f64 (*.f64 (log.f64 (pow.f64 (*.f64 y x) #s(literal 1/6 binary64))) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 y x))) #s(literal 1/3 binary64)))

simplify647.0ms (4.7%)

Algorithm
egg-herbie
Rules
967×distribute-lft-in
674×*-commutative
315×+-commutative
255×fma-define
248×associate-*r*
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0172251964
1513049504
Stop Event
node limit
Counts
815 → 933
Calls
Call 1
Inputs
(*.f64 #s(literal -1 binary64) (*.f64 x (*.f64 z (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 y x)) #s(literal 1 binary64)))))
(*.f64 #s(literal -1 binary64) (*.f64 x (*.f64 z (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 y x)) #s(literal 1 binary64)))))
(*.f64 #s(literal -1 binary64) (*.f64 x (*.f64 z (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 y x)) #s(literal 1 binary64)))))
(*.f64 #s(literal -1 binary64) (*.f64 x (*.f64 z (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 y x)) #s(literal 1 binary64)))))
(*.f64 #s(literal -1 binary64) (*.f64 x (*.f64 z (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 y x)) #s(literal 1 binary64)))))
(*.f64 #s(literal -1 binary64) (*.f64 x (*.f64 z (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 y x)) #s(literal 1 binary64)))))
(*.f64 #s(literal -1 binary64) (*.f64 x (*.f64 z (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 y x)) #s(literal 1 binary64)))))
(*.f64 #s(literal -1 binary64) (*.f64 x (*.f64 z (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 y x)) #s(literal 1 binary64)))))
(*.f64 #s(literal -1 binary64) (*.f64 x (*.f64 z (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 y x)) #s(literal 1 binary64)))))
(*.f64 #s(literal -1 binary64) (*.f64 x (*.f64 z (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 y x)) #s(literal 1 binary64)))))
(*.f64 #s(literal -1 binary64) (*.f64 x (*.f64 z (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 y x)) #s(literal 1 binary64)))))
(*.f64 #s(literal -1 binary64) (*.f64 x (*.f64 z (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 y x)) #s(literal 1 binary64)))))
(*.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)
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(log1p.f64 (expm1.f64 (fma.f64 #s(literal -1 binary64) (sqrt.f64 (/.f64 (+.f64 y x) z)) (*.f64 (*.f64 (*.f64 y x) (pow.f64 (*.f64 (+.f64 y x) (pow.f64 z #s(literal 3 binary64))) #s(literal -1/2 binary64))) #s(literal 1/2 binary64)))))
(exp.f64 (log.f64 (fma.f64 #s(literal -1 binary64) (sqrt.f64 (/.f64 (+.f64 y x) z)) (*.f64 (*.f64 (*.f64 y x) (pow.f64 (*.f64 (+.f64 y x) (pow.f64 z #s(literal 3 binary64))) #s(literal -1/2 binary64))) #s(literal 1/2 binary64)))))
(exp.f64 (*.f64 (log.f64 (fma.f64 #s(literal -1 binary64) (sqrt.f64 (/.f64 (+.f64 y x) z)) (*.f64 (*.f64 (*.f64 y x) (pow.f64 (*.f64 (+.f64 y x) (pow.f64 z #s(literal 3 binary64))) #s(literal -1/2 binary64))) #s(literal 1/2 binary64)))) #s(literal 1 binary64)))
(fma.f64 #s(literal -1 binary64) (sqrt.f64 (/.f64 (+.f64 y x) z)) (*.f64 (*.f64 (*.f64 y x) (pow.f64 (*.f64 (+.f64 y x) (pow.f64 z #s(literal 3 binary64))) #s(literal -1/2 binary64))) #s(literal 1/2 binary64)))
(fma.f64 x (*.f64 (*.f64 y (pow.f64 (*.f64 (+.f64 y x) (pow.f64 z #s(literal 3 binary64))) #s(literal -1/2 binary64))) #s(literal 1/2 binary64)) (*.f64 #s(literal -1 binary64) (sqrt.f64 (/.f64 (+.f64 y x) z))))
(fma.f64 (sqrt.f64 (/.f64 (+.f64 y x) z)) #s(literal -1 binary64) (*.f64 (*.f64 (*.f64 y x) (pow.f64 (*.f64 (+.f64 y x) (pow.f64 z #s(literal 3 binary64))) #s(literal -1/2 binary64))) #s(literal 1/2 binary64)))
(fma.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (sqrt.f64 (/.f64 (+.f64 y x) z))) (*.f64 (*.f64 (*.f64 y x) (pow.f64 (*.f64 (+.f64 y x) (pow.f64 z #s(literal 3 binary64))) #s(literal -1/2 binary64))) #s(literal 1/2 binary64)))
(fma.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 y x) (pow.f64 (*.f64 (+.f64 y x) (pow.f64 z #s(literal 3 binary64))) #s(literal -1/2 binary64))) #s(literal 1/2 binary64)) (*.f64 #s(literal -1 binary64) (sqrt.f64 (/.f64 (+.f64 y x) z))))
(fma.f64 (*.f64 (*.f64 y x) (pow.f64 (*.f64 (+.f64 y x) (pow.f64 z #s(literal 3 binary64))) #s(literal -1/2 binary64))) #s(literal 1/2 binary64) (*.f64 #s(literal -1 binary64) (sqrt.f64 (/.f64 (+.f64 y x) z))))
(fma.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 y x) (pow.f64 (*.f64 (+.f64 y x) (pow.f64 z #s(literal 3 binary64))) #s(literal -1/2 binary64))) (*.f64 #s(literal -1 binary64) (sqrt.f64 (/.f64 (+.f64 y x) z))))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 (/.f64 (+.f64 y x) z)))) #s(literal 2 binary64)) (cbrt.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 (/.f64 (+.f64 y x) z)))) (*.f64 (*.f64 (*.f64 y x) (pow.f64 (*.f64 (+.f64 y x) (pow.f64 z #s(literal 3 binary64))) #s(literal -1/2 binary64))) #s(literal 1/2 binary64)))
(fma.f64 (cbrt.f64 (pow.f64 (*.f64 (*.f64 (*.f64 y x) (pow.f64 (*.f64 (+.f64 y x) (pow.f64 z #s(literal 3 binary64))) #s(literal -1/2 binary64))) #s(literal 1/2 binary64)) #s(literal 2 binary64))) (cbrt.f64 (*.f64 (*.f64 (*.f64 y x) (pow.f64 (*.f64 (+.f64 y x) (pow.f64 z #s(literal 3 binary64))) #s(literal -1/2 binary64))) #s(literal 1/2 binary64))) (*.f64 #s(literal -1 binary64) (sqrt.f64 (/.f64 (+.f64 y x) z))))
(fma.f64 (sqrt.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 (/.f64 (+.f64 y x) z)))) (sqrt.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 (/.f64 (+.f64 y x) z)))) (*.f64 (*.f64 (*.f64 y x) (pow.f64 (*.f64 (+.f64 y x) (pow.f64 z #s(literal 3 binary64))) #s(literal -1/2 binary64))) #s(literal 1/2 binary64)))
(fma.f64 (sqrt.f64 (*.f64 (*.f64 (*.f64 y x) (pow.f64 (*.f64 (+.f64 y x) (pow.f64 z #s(literal 3 binary64))) #s(literal -1/2 binary64))) #s(literal 1/2 binary64))) (sqrt.f64 (*.f64 (*.f64 (*.f64 y x) (pow.f64 (*.f64 (+.f64 y x) (pow.f64 z #s(literal 3 binary64))) #s(literal -1/2 binary64))) #s(literal 1/2 binary64))) (*.f64 #s(literal -1 binary64) (sqrt.f64 (/.f64 (+.f64 y x) z))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 (/.f64 (+.f64 y x) z))))) #s(literal 1 binary64))
(pow.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 (/.f64 (+.f64 y x) z))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 (/.f64 (+.f64 y x) z)))) #s(literal 3 binary64))
(pow.f64 (*.f64 #s(literal -1 binary64) (pow.f64 (/.f64 (+.f64 y x) z) #s(literal 3/2 binary64))) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 (/.f64 (+.f64 y x) z)))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 (/.f64 (+.f64 y x) z))) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 (+.f64 y x) z))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 (/.f64 (+.f64 y x) z))))))
(cbrt.f64 (*.f64 #s(literal -1 binary64) (pow.f64 (/.f64 (+.f64 y x) z) #s(literal 3/2 binary64))))
(expm1.f64 (log1p.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 (/.f64 (+.f64 y x) z)))))
(log1p.f64 (expm1.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 (/.f64 (+.f64 y x) z)))))
(exp.f64 (log.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 (/.f64 (+.f64 y x) z)))))
(exp.f64 (*.f64 (log.f64 (*.f64 #s(literal -1 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))
(*.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 (+.f64 y x) z)))
(*.f64 (cbrt.f64 (/.f64 (+.f64 y x) z)) (cbrt.f64 (sqrt.f64 (/.f64 (+.f64 y x) z))))
(*.f64 (sqrt.f64 (+.f64 y x)) (pow.f64 (/.f64 #s(literal 1 binary64) z) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 (+.f64 y x)) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))
(*.f64 (pow.f64 (/.f64 (+.f64 y x) z) #s(literal 1/4 binary64)) (pow.f64 (/.f64 (+.f64 y x) z) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/2 binary64)) (sqrt.f64 (/.f64 (+.f64 y x) z)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 y x) z)) #s(literal 2 binary64)) #s(literal 1/2 binary64)) (pow.f64 (cbrt.f64 (/.f64 (+.f64 y x) z)) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 y x) z)) #s(literal 2 binary64))) (sqrt.f64 (cbrt.f64 (/.f64 (+.f64 y x) z))))
(/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 z (+.f64 y x))))
(/.f64 (sqrt.f64 (+.f64 y x)) (sqrt.f64 z))
(/.f64 (sqrt.f64 (neg.f64 (+.f64 y x))) (sqrt.f64 (neg.f64 z)))
(/.f64 (neg.f64 (sqrt.f64 (+.f64 y x))) (neg.f64 (sqrt.f64 z)))
(pow.f64 (/.f64 (+.f64 y x) z) #s(literal 1/2 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 (/.f64 (+.f64 y x) z) #s(literal 3/2 binary64)) #s(literal 1/3 binary64))
(pow.f64 (pow.f64 (/.f64 (+.f64 y x) z) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(fabs.f64 (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 (/.f64 (+.f64 y x) z) #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 (/.f64 (+.f64 y x) z)) #s(literal 1/2 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 (+.f64 y x) z))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (fma.f64 (*.f64 z (fma.f64 y (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64))) x (*.f64 y x))))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 (*.f64 z (fma.f64 y (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64))) x (*.f64 y x))))
(*.f64 (cbrt.f64 (fma.f64 (*.f64 z (fma.f64 y (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64))) x (*.f64 y x))) (cbrt.f64 (sqrt.f64 (fma.f64 (*.f64 z (fma.f64 y (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64))) x (*.f64 y x)))))
(*.f64 (pow.f64 (fma.f64 (*.f64 z (fma.f64 y (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64))) x (*.f64 y x)) #s(literal 1/4 binary64)) (pow.f64 (fma.f64 (*.f64 z (fma.f64 y (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64))) 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 (*.f64 z (fma.f64 y (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64))) x (*.f64 y x))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (fma.f64 (*.f64 z (fma.f64 y (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64))) x (*.f64 y x))) #s(literal 2 binary64)) #s(literal 1/2 binary64)) (pow.f64 (cbrt.f64 (fma.f64 (*.f64 z (fma.f64 y (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64))) x (*.f64 y x))) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 (*.f64 z (fma.f64 y (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64))) x (*.f64 y x))) #s(literal 2 binary64))) (sqrt.f64 (cbrt.f64 (fma.f64 (*.f64 z (fma.f64 y (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64))) x (*.f64 y x)))))
(/.f64 (sqrt.f64 (-.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (pow.f64 (*.f64 (*.f64 z (fma.f64 y (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64))) x) #s(literal 2 binary64)))) (sqrt.f64 (-.f64 (*.f64 y x) (*.f64 (*.f64 z (fma.f64 y (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64))) x))))
(/.f64 (sqrt.f64 (+.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 z (fma.f64 y (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64))) x) #s(literal 3 binary64)))) (sqrt.f64 (+.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 (*.f64 z (fma.f64 y (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64))) x) #s(literal 2 binary64)) (*.f64 (*.f64 y x) (*.f64 (*.f64 z (fma.f64 y (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64))) x))))))
(pow.f64 (fma.f64 (*.f64 z (fma.f64 y (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64))) x (*.f64 y x)) #s(literal 1/2 binary64))
(pow.f64 (sqrt.f64 (fma.f64 (*.f64 z (fma.f64 y (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64))) x (*.f64 y x))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (sqrt.f64 (fma.f64 (*.f64 z (fma.f64 y (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64))) x (*.f64 y x)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (fma.f64 (*.f64 z (fma.f64 y (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64))) x (*.f64 y x)) #s(literal 3/2 binary64)) #s(literal 1/3 binary64))
(pow.f64 (pow.f64 (fma.f64 (*.f64 z (fma.f64 y (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64))) x (*.f64 y x)) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(fabs.f64 (sqrt.f64 (fma.f64 (*.f64 z (fma.f64 y (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64))) x (*.f64 y x))))
(log.f64 (exp.f64 (sqrt.f64 (fma.f64 (*.f64 z (fma.f64 y (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64))) x (*.f64 y x)))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (sqrt.f64 (fma.f64 (*.f64 z (fma.f64 y (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64))) x (*.f64 y x))))))
(cbrt.f64 (pow.f64 (fma.f64 (*.f64 z (fma.f64 y (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64))) x (*.f64 y x)) #s(literal 3/2 binary64)))
(expm1.f64 (log1p.f64 (sqrt.f64 (fma.f64 (*.f64 z (fma.f64 y (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64))) x (*.f64 y x)))))
(hypot.f64 (sqrt.f64 (*.f64 y x)) (sqrt.f64 (*.f64 (*.f64 z (fma.f64 y (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64))) x)))
(hypot.f64 (sqrt.f64 (*.f64 (*.f64 z (fma.f64 y (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64))) x)) (sqrt.f64 (*.f64 y x)))
(log1p.f64 (expm1.f64 (sqrt.f64 (fma.f64 (*.f64 z (fma.f64 y (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64))) x (*.f64 y x)))))
(exp.f64 (log.f64 (sqrt.f64 (fma.f64 (*.f64 z (fma.f64 y (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64))) x (*.f64 y x)))))
(exp.f64 (*.f64 (log.f64 (fma.f64 (*.f64 z (fma.f64 y (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64))) x (*.f64 y x))) #s(literal 1/2 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (fma.f64 (*.f64 z (fma.f64 y (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64))) x (*.f64 y x)))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (*.f64 y x) #s(literal 1/6 binary64)))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 1/6 binary64)))
(*.f64 (cbrt.f64 (cbrt.f64 (*.f64 y x))) (cbrt.f64 (pow.f64 (*.f64 y x) #s(literal 1/6 binary64))))
(*.f64 (cbrt.f64 (pow.f64 (*.f64 y x) #s(literal 1/6 binary64))) (cbrt.f64 (cbrt.f64 (*.f64 y x))))
(*.f64 (pow.f64 (sqrt.f64 (*.f64 y x)) #s(literal 1/6 binary64)) (pow.f64 (sqrt.f64 (*.f64 y x)) #s(literal 1/6 binary64)))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/3 binary64)) (pow.f64 (*.f64 y x) #s(literal 1/6 binary64)))
(*.f64 (pow.f64 (sqrt.f64 x) #s(literal 1/3 binary64)) (pow.f64 (sqrt.f64 y) #s(literal 1/3 binary64)))
(*.f64 (pow.f64 (pow.f64 (*.f64 y x) #s(literal 1/4 binary64)) #s(literal 1/3 binary64)) (pow.f64 (pow.f64 (*.f64 y x) #s(literal 1/4 binary64)) #s(literal 1/3 binary64)))
(*.f64 (cbrt.f64 (sqrt.f64 x)) (cbrt.f64 (sqrt.f64 y)))
(*.f64 (sqrt.f64 (cbrt.f64 x)) (sqrt.f64 (cbrt.f64 y)))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 y x))) #s(literal 2 binary64))) (sqrt.f64 (cbrt.f64 (cbrt.f64 (*.f64 y x)))))
(pow.f64 (*.f64 y x) #s(literal 1/6 binary64))
(pow.f64 (cbrt.f64 (*.f64 y x)) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (*.f64 y x) #s(literal 1/6 binary64)) #s(literal 1 binary64))
(pow.f64 (sqrt.f64 (*.f64 y x)) #s(literal 1/3 binary64))
(pow.f64 (cbrt.f64 (pow.f64 (*.f64 y x) #s(literal 1/6 binary64))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (sqrt.f64 (*.f64 y x)) #s(literal 1/6 binary64)) #s(literal 2 binary64))
(sqrt.f64 (cbrt.f64 (*.f64 y x)))
(fabs.f64 (pow.f64 (*.f64 y x) #s(literal 1/6 binary64)))
(log.f64 (exp.f64 (pow.f64 (*.f64 y x) #s(literal 1/6 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (pow.f64 (*.f64 y x) #s(literal 1/6 binary64)))))
(expm1.f64 (log1p.f64 (pow.f64 (*.f64 y x) #s(literal 1/6 binary64))))
(log1p.f64 (expm1.f64 (pow.f64 (*.f64 y x) #s(literal 1/6 binary64))))
(exp.f64 (log.f64 (pow.f64 (*.f64 y x) #s(literal 1/6 binary64))))
(exp.f64 (*.f64 (log.f64 (pow.f64 (*.f64 y x) #s(literal 1/6 binary64))) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 y x))) #s(literal 1/3 binary64)))
Outputs
(*.f64 #s(literal -1 binary64) (*.f64 x (*.f64 z (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 y x)) #s(literal 1 binary64)))))
(*.f64 (neg.f64 x) (*.f64 z (fma.f64 #s(literal -1 binary64) (/.f64 y x) #s(literal -1 binary64))))
(*.f64 z (*.f64 (neg.f64 x) (-.f64 #s(literal -1 binary64) (/.f64 y x))))
(*.f64 #s(literal -1 binary64) (*.f64 x (*.f64 z (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 y x)) #s(literal 1 binary64)))))
(*.f64 (neg.f64 x) (*.f64 z (fma.f64 #s(literal -1 binary64) (/.f64 y x) #s(literal -1 binary64))))
(*.f64 z (*.f64 (neg.f64 x) (-.f64 #s(literal -1 binary64) (/.f64 y x))))
(*.f64 #s(literal -1 binary64) (*.f64 x (*.f64 z (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 y x)) #s(literal 1 binary64)))))
(*.f64 (neg.f64 x) (*.f64 z (fma.f64 #s(literal -1 binary64) (/.f64 y x) #s(literal -1 binary64))))
(*.f64 z (*.f64 (neg.f64 x) (-.f64 #s(literal -1 binary64) (/.f64 y x))))
(*.f64 #s(literal -1 binary64) (*.f64 x (*.f64 z (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 y x)) #s(literal 1 binary64)))))
(*.f64 (neg.f64 x) (*.f64 z (fma.f64 #s(literal -1 binary64) (/.f64 y x) #s(literal -1 binary64))))
(*.f64 z (*.f64 (neg.f64 x) (-.f64 #s(literal -1 binary64) (/.f64 y x))))
(*.f64 #s(literal -1 binary64) (*.f64 x (*.f64 z (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 y x)) #s(literal 1 binary64)))))
(*.f64 (neg.f64 x) (*.f64 z (fma.f64 #s(literal -1 binary64) (/.f64 y x) #s(literal -1 binary64))))
(*.f64 z (*.f64 (neg.f64 x) (-.f64 #s(literal -1 binary64) (/.f64 y x))))
(*.f64 #s(literal -1 binary64) (*.f64 x (*.f64 z (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 y x)) #s(literal 1 binary64)))))
(*.f64 (neg.f64 x) (*.f64 z (fma.f64 #s(literal -1 binary64) (/.f64 y x) #s(literal -1 binary64))))
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(/.f64 (sqrt.f64 (-.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (pow.f64 (*.f64 (*.f64 x z) (-.f64 #s(literal -1 binary64) (/.f64 y x))) #s(literal 2 binary64)))) (sqrt.f64 (*.f64 x (-.f64 y (*.f64 z (-.f64 #s(literal -1 binary64) (/.f64 y x)))))))
(/.f64 (sqrt.f64 (+.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 z (fma.f64 y (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64))) x) #s(literal 3 binary64)))) (sqrt.f64 (+.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 (*.f64 z (fma.f64 y (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64))) x) #s(literal 2 binary64)) (*.f64 (*.f64 y x) (*.f64 (*.f64 z (fma.f64 y (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64))) x))))))
(/.f64 (sqrt.f64 (+.f64 (pow.f64 (*.f64 (*.f64 x z) (fma.f64 #s(literal -1 binary64) (/.f64 y x) #s(literal -1 binary64))) #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 (pow.f64 (*.f64 (*.f64 x z) (fma.f64 #s(literal -1 binary64) (/.f64 y x) #s(literal -1 binary64))) #s(literal 2 binary64)) (*.f64 y (*.f64 x (*.f64 (*.f64 x z) (fma.f64 #s(literal -1 binary64) (/.f64 y x) #s(literal -1 binary64)))))))))
(/.f64 (sqrt.f64 (+.f64 (pow.f64 (*.f64 (*.f64 x z) (-.f64 #s(literal -1 binary64) (/.f64 y x))) #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 (pow.f64 (*.f64 (*.f64 x z) (-.f64 #s(literal -1 binary64) (/.f64 y x))) #s(literal 2 binary64)) (*.f64 y (*.f64 x (*.f64 (*.f64 x z) (-.f64 #s(literal -1 binary64) (/.f64 y x)))))))))
(pow.f64 (fma.f64 (*.f64 z (fma.f64 y (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64))) x (*.f64 y x)) #s(literal 1/2 binary64))
(sqrt.f64 (fma.f64 (*.f64 z (fma.f64 #s(literal -1 binary64) (/.f64 y x) #s(literal -1 binary64))) x (*.f64 x y)))
(sqrt.f64 (fma.f64 (*.f64 z (-.f64 #s(literal -1 binary64) (/.f64 y x))) x (*.f64 x y)))
(pow.f64 (sqrt.f64 (fma.f64 (*.f64 z (fma.f64 y (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64))) x (*.f64 y x))) #s(literal 1 binary64))
(sqrt.f64 (fma.f64 (*.f64 z (fma.f64 #s(literal -1 binary64) (/.f64 y x) #s(literal -1 binary64))) x (*.f64 x y)))
(sqrt.f64 (fma.f64 (*.f64 z (-.f64 #s(literal -1 binary64) (/.f64 y x))) x (*.f64 x y)))
(pow.f64 (cbrt.f64 (sqrt.f64 (fma.f64 (*.f64 z (fma.f64 y (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64))) x (*.f64 y x)))) #s(literal 3 binary64))
(sqrt.f64 (fma.f64 (*.f64 z (fma.f64 #s(literal -1 binary64) (/.f64 y x) #s(literal -1 binary64))) x (*.f64 x y)))
(sqrt.f64 (fma.f64 (*.f64 z (-.f64 #s(literal -1 binary64) (/.f64 y x))) x (*.f64 x y)))
(pow.f64 (pow.f64 (fma.f64 (*.f64 z (fma.f64 y (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64))) x (*.f64 y x)) #s(literal 3/2 binary64)) #s(literal 1/3 binary64))
(cbrt.f64 (pow.f64 (fma.f64 (*.f64 z (fma.f64 #s(literal -1 binary64) (/.f64 y x) #s(literal -1 binary64))) x (*.f64 x y)) #s(literal 3/2 binary64)))
(cbrt.f64 (pow.f64 (fma.f64 (*.f64 z (-.f64 #s(literal -1 binary64) (/.f64 y x))) x (*.f64 x y)) #s(literal 3/2 binary64)))
(pow.f64 (pow.f64 (fma.f64 (*.f64 z (fma.f64 y (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64))) x (*.f64 y x)) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(sqrt.f64 (fma.f64 (*.f64 z (fma.f64 #s(literal -1 binary64) (/.f64 y x) #s(literal -1 binary64))) x (*.f64 x y)))
(sqrt.f64 (fma.f64 (*.f64 z (-.f64 #s(literal -1 binary64) (/.f64 y x))) x (*.f64 x y)))
(fabs.f64 (sqrt.f64 (fma.f64 (*.f64 z (fma.f64 y (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64))) x (*.f64 y x))))
(sqrt.f64 (fma.f64 (*.f64 z (fma.f64 #s(literal -1 binary64) (/.f64 y x) #s(literal -1 binary64))) x (*.f64 x y)))
(sqrt.f64 (fma.f64 (*.f64 z (-.f64 #s(literal -1 binary64) (/.f64 y x))) x (*.f64 x y)))
(log.f64 (exp.f64 (sqrt.f64 (fma.f64 (*.f64 z (fma.f64 y (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64))) x (*.f64 y x)))))
(sqrt.f64 (fma.f64 (*.f64 z (fma.f64 #s(literal -1 binary64) (/.f64 y x) #s(literal -1 binary64))) x (*.f64 x y)))
(sqrt.f64 (fma.f64 (*.f64 z (-.f64 #s(literal -1 binary64) (/.f64 y x))) x (*.f64 x y)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (sqrt.f64 (fma.f64 (*.f64 z (fma.f64 y (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64))) x (*.f64 y x))))))
(sqrt.f64 (fma.f64 (*.f64 z (fma.f64 #s(literal -1 binary64) (/.f64 y x) #s(literal -1 binary64))) x (*.f64 x y)))
(sqrt.f64 (fma.f64 (*.f64 z (-.f64 #s(literal -1 binary64) (/.f64 y x))) x (*.f64 x y)))
(cbrt.f64 (pow.f64 (fma.f64 (*.f64 z (fma.f64 y (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64))) x (*.f64 y x)) #s(literal 3/2 binary64)))
(cbrt.f64 (pow.f64 (fma.f64 (*.f64 z (fma.f64 #s(literal -1 binary64) (/.f64 y x) #s(literal -1 binary64))) x (*.f64 x y)) #s(literal 3/2 binary64)))
(cbrt.f64 (pow.f64 (fma.f64 (*.f64 z (-.f64 #s(literal -1 binary64) (/.f64 y x))) x (*.f64 x y)) #s(literal 3/2 binary64)))
(expm1.f64 (log1p.f64 (sqrt.f64 (fma.f64 (*.f64 z (fma.f64 y (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64))) x (*.f64 y x)))))
(expm1.f64 (log1p.f64 (sqrt.f64 (fma.f64 (*.f64 z (fma.f64 #s(literal -1 binary64) (/.f64 y x) #s(literal -1 binary64))) x (*.f64 x y)))))
(expm1.f64 (log1p.f64 (sqrt.f64 (fma.f64 (*.f64 z (-.f64 #s(literal -1 binary64) (/.f64 y x))) x (*.f64 x y)))))
(hypot.f64 (sqrt.f64 (*.f64 y x)) (sqrt.f64 (*.f64 (*.f64 z (fma.f64 y (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64))) x)))
(hypot.f64 (sqrt.f64 (*.f64 x y)) (sqrt.f64 (*.f64 (*.f64 x z) (fma.f64 #s(literal -1 binary64) (/.f64 y x) #s(literal -1 binary64)))))
(sqrt.f64 (+.f64 (*.f64 x y) (*.f64 (*.f64 x z) (-.f64 #s(literal -1 binary64) (/.f64 y x)))))
(hypot.f64 (sqrt.f64 (*.f64 (*.f64 z (fma.f64 y (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64))) x)) (sqrt.f64 (*.f64 y x)))
(sqrt.f64 (fma.f64 (*.f64 z (fma.f64 #s(literal -1 binary64) (/.f64 y x) #s(literal -1 binary64))) x (*.f64 x y)))
(sqrt.f64 (fma.f64 (*.f64 z (-.f64 #s(literal -1 binary64) (/.f64 y x))) x (*.f64 x y)))
(log1p.f64 (expm1.f64 (sqrt.f64 (fma.f64 (*.f64 z (fma.f64 y (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64))) x (*.f64 y x)))))
(sqrt.f64 (fma.f64 (*.f64 z (fma.f64 #s(literal -1 binary64) (/.f64 y x) #s(literal -1 binary64))) x (*.f64 x y)))
(sqrt.f64 (fma.f64 (*.f64 z (-.f64 #s(literal -1 binary64) (/.f64 y x))) x (*.f64 x y)))
(exp.f64 (log.f64 (sqrt.f64 (fma.f64 (*.f64 z (fma.f64 y (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64))) x (*.f64 y x)))))
(sqrt.f64 (fma.f64 (*.f64 z (fma.f64 #s(literal -1 binary64) (/.f64 y x) #s(literal -1 binary64))) x (*.f64 x y)))
(sqrt.f64 (fma.f64 (*.f64 z (-.f64 #s(literal -1 binary64) (/.f64 y x))) x (*.f64 x y)))
(exp.f64 (*.f64 (log.f64 (fma.f64 (*.f64 z (fma.f64 y (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64))) x (*.f64 y x))) #s(literal 1/2 binary64)))
(sqrt.f64 (fma.f64 (*.f64 z (fma.f64 #s(literal -1 binary64) (/.f64 y x) #s(literal -1 binary64))) x (*.f64 x y)))
(sqrt.f64 (fma.f64 (*.f64 z (-.f64 #s(literal -1 binary64) (/.f64 y x))) x (*.f64 x y)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (fma.f64 (*.f64 z (fma.f64 y (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64))) x (*.f64 y x)))) #s(literal 1 binary64)))
(sqrt.f64 (fma.f64 (*.f64 z (fma.f64 #s(literal -1 binary64) (/.f64 y x) #s(literal -1 binary64))) x (*.f64 x y)))
(sqrt.f64 (fma.f64 (*.f64 z (-.f64 #s(literal -1 binary64) (/.f64 y x))) x (*.f64 x y)))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (*.f64 y x) #s(literal 1/6 binary64)))) #s(literal 1 binary64))
(expm1.f64 (log1p.f64 (pow.f64 (*.f64 x y) #s(literal 1/6 binary64))))
(*.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 1/6 binary64)))
(pow.f64 (*.f64 x y) #s(literal 1/6 binary64))
(*.f64 (cbrt.f64 (cbrt.f64 (*.f64 y x))) (cbrt.f64 (pow.f64 (*.f64 y x) #s(literal 1/6 binary64))))
(*.f64 (cbrt.f64 (cbrt.f64 (*.f64 x y))) (cbrt.f64 (pow.f64 (*.f64 x y) #s(literal 1/6 binary64))))
(*.f64 (cbrt.f64 (pow.f64 (*.f64 y x) #s(literal 1/6 binary64))) (cbrt.f64 (cbrt.f64 (*.f64 y x))))
(*.f64 (cbrt.f64 (cbrt.f64 (*.f64 x y))) (cbrt.f64 (pow.f64 (*.f64 x y) #s(literal 1/6 binary64))))
(*.f64 (pow.f64 (sqrt.f64 (*.f64 y x)) #s(literal 1/6 binary64)) (pow.f64 (sqrt.f64 (*.f64 y x)) #s(literal 1/6 binary64)))
(cbrt.f64 (sqrt.f64 (*.f64 x y)))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/3 binary64)) (pow.f64 (*.f64 y x) #s(literal 1/6 binary64)))
(pow.f64 (*.f64 x y) #s(literal 1/6 binary64))
(*.f64 (pow.f64 (sqrt.f64 x) #s(literal 1/3 binary64)) (pow.f64 (sqrt.f64 y) #s(literal 1/3 binary64)))
(*.f64 (cbrt.f64 (sqrt.f64 x)) (cbrt.f64 (sqrt.f64 y)))
(*.f64 (pow.f64 (pow.f64 (*.f64 y x) #s(literal 1/4 binary64)) #s(literal 1/3 binary64)) (pow.f64 (pow.f64 (*.f64 y x) #s(literal 1/4 binary64)) #s(literal 1/3 binary64)))
(*.f64 (cbrt.f64 (pow.f64 (*.f64 x y) #s(literal 1/4 binary64))) (cbrt.f64 (pow.f64 (*.f64 x y) #s(literal 1/4 binary64))))
(*.f64 (cbrt.f64 (sqrt.f64 x)) (cbrt.f64 (sqrt.f64 y)))
(*.f64 (sqrt.f64 (cbrt.f64 x)) (sqrt.f64 (cbrt.f64 y)))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 y x))) #s(literal 2 binary64))) (sqrt.f64 (cbrt.f64 (cbrt.f64 (*.f64 y x)))))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 x y))) #s(literal 2 binary64))) (sqrt.f64 (cbrt.f64 (cbrt.f64 (*.f64 x y)))))
(*.f64 (fabs.f64 (cbrt.f64 (cbrt.f64 (*.f64 x y)))) (sqrt.f64 (cbrt.f64 (cbrt.f64 (*.f64 x y)))))
(pow.f64 (*.f64 y x) #s(literal 1/6 binary64))
(pow.f64 (*.f64 x y) #s(literal 1/6 binary64))
(pow.f64 (cbrt.f64 (*.f64 y x)) #s(literal 1/2 binary64))
(sqrt.f64 (cbrt.f64 (*.f64 x y)))
(pow.f64 (pow.f64 (*.f64 y x) #s(literal 1/6 binary64)) #s(literal 1 binary64))
(pow.f64 (*.f64 x y) #s(literal 1/6 binary64))
(pow.f64 (sqrt.f64 (*.f64 y x)) #s(literal 1/3 binary64))
(cbrt.f64 (sqrt.f64 (*.f64 x y)))
(pow.f64 (cbrt.f64 (pow.f64 (*.f64 y x) #s(literal 1/6 binary64))) #s(literal 3 binary64))
(pow.f64 (*.f64 x y) #s(literal 1/6 binary64))
(pow.f64 (pow.f64 (sqrt.f64 (*.f64 y x)) #s(literal 1/6 binary64)) #s(literal 2 binary64))
(cbrt.f64 (sqrt.f64 (*.f64 x y)))
(sqrt.f64 (cbrt.f64 (*.f64 y x)))
(sqrt.f64 (cbrt.f64 (*.f64 x y)))
(fabs.f64 (pow.f64 (*.f64 y x) #s(literal 1/6 binary64)))
(fabs.f64 (pow.f64 (*.f64 x y) #s(literal 1/6 binary64)))
(log.f64 (exp.f64 (pow.f64 (*.f64 y x) #s(literal 1/6 binary64))))
(pow.f64 (*.f64 x y) #s(literal 1/6 binary64))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (pow.f64 (*.f64 y x) #s(literal 1/6 binary64)))))
(pow.f64 (*.f64 x y) #s(literal 1/6 binary64))
(expm1.f64 (log1p.f64 (pow.f64 (*.f64 y x) #s(literal 1/6 binary64))))
(expm1.f64 (log1p.f64 (pow.f64 (*.f64 x y) #s(literal 1/6 binary64))))
(log1p.f64 (expm1.f64 (pow.f64 (*.f64 y x) #s(literal 1/6 binary64))))
(pow.f64 (*.f64 x y) #s(literal 1/6 binary64))
(exp.f64 (log.f64 (pow.f64 (*.f64 y x) #s(literal 1/6 binary64))))
(pow.f64 (*.f64 x y) #s(literal 1/6 binary64))
(exp.f64 (*.f64 (log.f64 (pow.f64 (*.f64 y x) #s(literal 1/6 binary64))) #s(literal 1 binary64)))
(pow.f64 (*.f64 x y) #s(literal 1/6 binary64))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 y x))) #s(literal 1/3 binary64)))
(cbrt.f64 (sqrt.f64 (*.f64 x y)))

eval176.0ms (1.3%)

Compiler

Compiled 43394 to 6516 computations (85% saved)

prune203.0ms (1.5%)

Pruning

30 alts after pruning (25 fresh and 5 done)

PrunedKeptTotal
New1222121234
Fresh151328
Picked235
Done022
Total1239301269
Accuracy
99.7%
Counts
1269 → 30
Alt Table
Click to see full alt table
StatusAccuracyProgram
31.6%
(+.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 x y))) (*.f64 (sqrt.f64 (/.f64 x y)) z))
27.6%
(*.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)))))))
4.1%
(*.f64 #s(literal 2 binary64) (pow.f64 (pow.f64 (*.f64 z x) #s(literal 1/4 binary64)) #s(literal 2 binary64)))
35.0%
(*.f64 #s(literal 2 binary64) (pow.f64 (pow.f64 (*.f64 y z) #s(literal 1/4 binary64)) #s(literal 2 binary64)))
37.8%
(*.f64 #s(literal 2 binary64) (pow.f64 (pow.f64 (*.f64 y x) #s(literal 1/4 binary64)) #s(literal 2 binary64)))
50.2%
(*.f64 #s(literal 2 binary64) (pow.f64 (*.f64 (cbrt.f64 y) (cbrt.f64 x)) #s(literal 3/2 binary64)))
46.5%
(*.f64 #s(literal 2 binary64) (pow.f64 (exp.f64 (*.f64 #s(literal 1/4 binary64) (+.f64 (log.f64 (+.f64 (*.f64 #s(literal -1 binary64) y) (*.f64 #s(literal -1 binary64) z))) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x)))))) #s(literal 2 binary64)))
45.5%
(*.f64 #s(literal 2 binary64) (pow.f64 (exp.f64 (*.f64 #s(literal 1/4 binary64) (+.f64 (log.f64 (*.f64 #s(literal -1 binary64) (+.f64 x z))) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) y)))))) #s(literal 2 binary64)))
35.1%
(*.f64 #s(literal 2 binary64) (pow.f64 (cbrt.f64 (*.f64 z (fma.f64 (*.f64 (*.f64 x y) (pow.f64 (*.f64 (+.f64 x y) (pow.f64 z #s(literal 3 binary64))) #s(literal -1/2 binary64))) #s(literal 1/2 binary64) (sqrt.f64 (/.f64 (+.f64 x y) z))))) #s(literal 3 binary64)))
37.5%
(*.f64 #s(literal 2 binary64) (pow.f64 (cbrt.f64 (*.f64 x y)) #s(literal 3/2 binary64)))
37.5%
(*.f64 #s(literal 2 binary64) (*.f64 (cbrt.f64 (*.f64 x y)) (cbrt.f64 (sqrt.f64 (*.f64 x y)))))
36.6%
(*.f64 #s(literal 2 binary64) (*.f64 z (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 z (+.f64 y x)))) (*.f64 (*.f64 x (*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 x y) (pow.f64 z #s(literal 3 binary64))))))) #s(literal 1/2 binary64)))))
42.8%
(*.f64 #s(literal 2 binary64) (*.f64 z (sqrt.f64 (/.f64 (+.f64 x y) z))))
2.5%
(*.f64 #s(literal 2 binary64) (*.f64 z (neg.f64 (sqrt.f64 (/.f64 x z)))))
31.3%
(*.f64 #s(literal 2 binary64) (*.f64 y (+.f64 (sqrt.f64 (/.f64 (+.f64 x z) y)) (*.f64 (*.f64 x (*.f64 z (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 y #s(literal 3 binary64)) (+.f64 x z)))))) #s(literal 1/2 binary64)))))
71.6%
(*.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (*.f64 x y) (*.f64 z (*.f64 (+.f64 (*.f64 y (/.f64 #s(literal -1 binary64) x)) #s(literal -1 binary64)) (neg.f64 x))))))
39.3%
(*.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (*.f64 x y) (*.f64 z x))))
37.0%
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 z (+.f64 y x))))
25.6%
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 z (+.f64 x (*.f64 x (/.f64 y z))))))
35.0%
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 z y)))
3.8%
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 z x)))
61.1%
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 x (+.f64 (*.f64 z (/.f64 y x)) (+.f64 z y)))))
39.4%
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 x (+.f64 z y))))
37.8%
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 x y)))
7.1%
(*.f64 #s(literal 2 binary64) (sqrt.f64 (fabs.f64 (*.f64 x z))))
3.8%
(*.f64 #s(literal 2 binary64) (exp.f64 (*.f64 (log.f64 (*.f64 z x)) #s(literal 1/2 binary64))))
49.3%
(*.f64 #s(literal 2 binary64) (cbrt.f64 (pow.f64 (fma.f64 z (+.f64 y x) (*.f64 x y)) #s(literal 3/2 binary64))))
24.7%
(*.f64 #s(literal 2 binary64) (cbrt.f64 (pow.f64 (*.f64 y x) #s(literal 3/2 binary64))))
24.6%
(*.f64 #s(literal 2 binary64) (cbrt.f64 (*.f64 (sqrt.f64 (*.f64 y x)) (*.f64 y x))))
3.8%
(expm1.f64 (log1p.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 z x)))))
Compiler

Compiled 891 to 634 computations (28.8% saved)

simplify93.0ms (0.7%)

Algorithm
egg-herbie
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
cost-diff0
(+.f64 x z)
cost-diff0
(/.f64 (+.f64 x z) y)
cost-diff0
(sqrt.f64 (/.f64 (+.f64 x z) y))
cost-diff0
(*.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 (+.f64 x z) y)))
cost-diff0
(*.f64 z x)
cost-diff0
(pow.f64 (*.f64 z x) #s(literal 1/4 binary64))
cost-diff6528
(pow.f64 (pow.f64 (*.f64 z x) #s(literal 1/4 binary64)) #s(literal 2 binary64))
cost-diff6528
(*.f64 #s(literal 2 binary64) (pow.f64 (pow.f64 (*.f64 z x) #s(literal 1/4 binary64)) #s(literal 2 binary64)))
cost-diff-6144
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 x (+.f64 (*.f64 z (/.f64 y x)) (+.f64 z y)))))
cost-diff0
(+.f64 z y)
cost-diff0
(/.f64 y x)
cost-diff0
(*.f64 z (/.f64 y x))
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-diff64
(*.f64 y (/.f64 #s(literal -1 binary64) x))
cost-diff128
(+.f64 (*.f64 y (/.f64 #s(literal -1 binary64) x)) #s(literal -1 binary64))
cost-diff448
(*.f64 (+.f64 (*.f64 y (/.f64 #s(literal -1 binary64) x)) #s(literal -1 binary64)) (neg.f64 x))
cost-diff448
(*.f64 z (*.f64 (+.f64 (*.f64 y (/.f64 #s(literal -1 binary64) x)) #s(literal -1 binary64)) (neg.f64 x)))
Rules
662×fma-define
624×fma-neg
569×unsub-neg
326×associate-*r*
294×distribute-lft-neg-out
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
0511263
11201251
22811212
36201090
412131072
533701072
660361072
Stop Event
node limit
Calls
Call 1
Inputs
(*.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (*.f64 x y) (*.f64 z (*.f64 (+.f64 (*.f64 y (/.f64 #s(literal -1 binary64) x)) #s(literal -1 binary64)) (neg.f64 x))))))
#s(literal 2 binary64)
(sqrt.f64 (+.f64 (*.f64 x y) (*.f64 z (*.f64 (+.f64 (*.f64 y (/.f64 #s(literal -1 binary64) x)) #s(literal -1 binary64)) (neg.f64 x)))))
(+.f64 (*.f64 x y) (*.f64 z (*.f64 (+.f64 (*.f64 y (/.f64 #s(literal -1 binary64) x)) #s(literal -1 binary64)) (neg.f64 x))))
(*.f64 x y)
x
y
(*.f64 z (*.f64 (+.f64 (*.f64 y (/.f64 #s(literal -1 binary64) x)) #s(literal -1 binary64)) (neg.f64 x)))
z
(*.f64 (+.f64 (*.f64 y (/.f64 #s(literal -1 binary64) x)) #s(literal -1 binary64)) (neg.f64 x))
(+.f64 (*.f64 y (/.f64 #s(literal -1 binary64) x)) #s(literal -1 binary64))
(*.f64 y (/.f64 #s(literal -1 binary64) x))
(/.f64 #s(literal -1 binary64) x)
#s(literal -1 binary64)
(neg.f64 x)
(*.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) (sqrt.f64 (*.f64 x (+.f64 (*.f64 z (/.f64 y x)) (+.f64 z y)))))
#s(literal 2 binary64)
(sqrt.f64 (*.f64 x (+.f64 (*.f64 z (/.f64 y x)) (+.f64 z y))))
(*.f64 x (+.f64 (*.f64 z (/.f64 y x)) (+.f64 z y)))
x
(+.f64 (*.f64 z (/.f64 y x)) (+.f64 z y))
(*.f64 z (/.f64 y x))
z
(/.f64 y x)
y
(+.f64 z y)
(*.f64 #s(literal 2 binary64) (pow.f64 (pow.f64 (*.f64 z x) #s(literal 1/4 binary64)) #s(literal 2 binary64)))
#s(literal 2 binary64)
(pow.f64 (pow.f64 (*.f64 z x) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(pow.f64 (*.f64 z x) #s(literal 1/4 binary64))
(*.f64 z x)
z
x
#s(literal 1/4 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)))))))
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 #s(literal 2 binary64) (sqrt.f64 (/.f64 (+.f64 x z) y)))
#s(literal 2 binary64)
(sqrt.f64 (/.f64 (+.f64 x z) y))
(/.f64 (+.f64 x z) y)
(+.f64 x z)
x
z
(*.f64 (*.f64 x z) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 y #s(literal 3 binary64)) (+.f64 x z)))))
(*.f64 x z)
(sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 y #s(literal 3 binary64)) (+.f64 x z))))
(/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 y #s(literal 3 binary64)) (+.f64 x z)))
#s(literal 1 binary64)
(*.f64 (pow.f64 y #s(literal 3 binary64)) (+.f64 x z))
(pow.f64 y #s(literal 3 binary64))
#s(literal 3 binary64)
Outputs
(*.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (*.f64 x y) (*.f64 z (*.f64 (+.f64 (*.f64 y (/.f64 #s(literal -1 binary64) x)) #s(literal -1 binary64)) (neg.f64 x))))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (fma.f64 x y (*.f64 z (*.f64 (fma.f64 y (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) (neg.f64 x))))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (fma.f64 x y (*.f64 (neg.f64 x) (*.f64 z (fma.f64 y (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)))))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 x (+.f64 y (*.f64 z (neg.f64 (fma.f64 y (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64))))))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (fma.f64 x y (*.f64 z (fma.f64 y #s(literal 1 binary64) x)))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (fma.f64 x z (*.f64 y (+.f64 x z)))))
#s(literal 2 binary64)
(sqrt.f64 (+.f64 (*.f64 x y) (*.f64 z (*.f64 (+.f64 (*.f64 y (/.f64 #s(literal -1 binary64) x)) #s(literal -1 binary64)) (neg.f64 x)))))
(sqrt.f64 (fma.f64 x y (*.f64 z (*.f64 (fma.f64 y (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) (neg.f64 x)))))
(sqrt.f64 (fma.f64 x y (*.f64 (neg.f64 x) (*.f64 z (fma.f64 y (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64))))))
(sqrt.f64 (*.f64 x (+.f64 y (*.f64 z (neg.f64 (fma.f64 y (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)))))))
(sqrt.f64 (fma.f64 x y (*.f64 z (fma.f64 y #s(literal 1 binary64) x))))
(sqrt.f64 (fma.f64 x z (*.f64 y (+.f64 x z))))
(+.f64 (*.f64 x y) (*.f64 z (*.f64 (+.f64 (*.f64 y (/.f64 #s(literal -1 binary64) x)) #s(literal -1 binary64)) (neg.f64 x))))
(fma.f64 x y (*.f64 z (*.f64 (fma.f64 y (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) (neg.f64 x))))
(fma.f64 x y (*.f64 (neg.f64 x) (*.f64 z (fma.f64 y (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)))))
(*.f64 x (+.f64 y (*.f64 z (neg.f64 (fma.f64 y (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64))))))
(fma.f64 x y (*.f64 z (fma.f64 y #s(literal 1 binary64) x)))
(fma.f64 x z (*.f64 y (+.f64 x z)))
(*.f64 x y)
x
y
(*.f64 z (*.f64 (+.f64 (*.f64 y (/.f64 #s(literal -1 binary64) x)) #s(literal -1 binary64)) (neg.f64 x)))
(*.f64 z (*.f64 (fma.f64 y (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) (neg.f64 x)))
(*.f64 (neg.f64 x) (*.f64 z (fma.f64 y (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64))))
(*.f64 (fma.f64 y (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) (neg.f64 (*.f64 x z)))
(*.f64 z (fma.f64 y #s(literal 1 binary64) x))
(*.f64 z (+.f64 x y))
z
(*.f64 (+.f64 (*.f64 y (/.f64 #s(literal -1 binary64) x)) #s(literal -1 binary64)) (neg.f64 x))
(*.f64 (fma.f64 y (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) (neg.f64 x))
(*.f64 x (neg.f64 (fma.f64 y (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64))))
(fma.f64 y #s(literal 1 binary64) x)
(+.f64 x y)
(+.f64 (*.f64 y (/.f64 #s(literal -1 binary64) x)) #s(literal -1 binary64))
(fma.f64 y (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64))
(-.f64 #s(literal -1 binary64) (/.f64 y x))
(*.f64 y (/.f64 #s(literal -1 binary64) x))
(/.f64 (neg.f64 y) x)
(/.f64 y (neg.f64 x))
(/.f64 #s(literal -1 binary64) x)
#s(literal -1 binary64)
(neg.f64 x)
(*.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) (sqrt.f64 (*.f64 x (+.f64 (*.f64 z (/.f64 y x)) (+.f64 z y)))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (fma.f64 x y (*.f64 z (*.f64 (fma.f64 y (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) (neg.f64 x))))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (fma.f64 x y (*.f64 (neg.f64 x) (*.f64 z (fma.f64 y (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)))))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 x (+.f64 y (*.f64 z (neg.f64 (fma.f64 y (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64))))))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (fma.f64 x y (*.f64 z (fma.f64 y #s(literal 1 binary64) x)))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (fma.f64 x z (*.f64 y (+.f64 x z)))))
#s(literal 2 binary64)
(sqrt.f64 (*.f64 x (+.f64 (*.f64 z (/.f64 y x)) (+.f64 z y))))
(sqrt.f64 (fma.f64 x y (*.f64 z (*.f64 (fma.f64 y (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) (neg.f64 x)))))
(sqrt.f64 (fma.f64 x y (*.f64 (neg.f64 x) (*.f64 z (fma.f64 y (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64))))))
(sqrt.f64 (*.f64 x (+.f64 y (*.f64 z (neg.f64 (fma.f64 y (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)))))))
(sqrt.f64 (fma.f64 x y (*.f64 z (fma.f64 y #s(literal 1 binary64) x))))
(sqrt.f64 (fma.f64 x z (*.f64 y (+.f64 x z))))
(*.f64 x (+.f64 (*.f64 z (/.f64 y x)) (+.f64 z y)))
(fma.f64 x y (*.f64 z (*.f64 (fma.f64 y (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) (neg.f64 x))))
(fma.f64 x y (*.f64 (neg.f64 x) (*.f64 z (fma.f64 y (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)))))
(*.f64 x (+.f64 y (*.f64 z (neg.f64 (fma.f64 y (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64))))))
(fma.f64 x y (*.f64 z (fma.f64 y #s(literal 1 binary64) x)))
(fma.f64 x z (*.f64 y (+.f64 x z)))
x
(+.f64 (*.f64 z (/.f64 y x)) (+.f64 z y))
(fma.f64 z (/.f64 y x) (+.f64 y z))
(+.f64 y (fma.f64 z (/.f64 y x) z))
(fma.f64 (+.f64 (/.f64 y x) #s(literal 1 binary64)) z y)
(fma.f64 z (+.f64 (/.f64 y x) #s(literal 1 binary64)) y)
(*.f64 z (/.f64 y x))
(/.f64 (*.f64 y z) x)
z
(/.f64 y x)
y
(+.f64 z y)
(+.f64 y z)
(*.f64 #s(literal 2 binary64) (pow.f64 (pow.f64 (*.f64 z x) #s(literal 1/4 binary64)) #s(literal 2 binary64)))
(*.f64 #s(literal 2 binary64) (pow.f64 (pow.f64 (*.f64 x z) #s(literal 1/4 binary64)) #s(literal 2 binary64)))
(*.f64 #s(literal 2 binary64) (pow.f64 (*.f64 x z) #s(literal 1/2 binary64)))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 x z)))
#s(literal 2 binary64)
(pow.f64 (pow.f64 (*.f64 z x) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(pow.f64 (pow.f64 (*.f64 x z) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(pow.f64 (*.f64 x z) #s(literal 1/2 binary64))
(sqrt.f64 (*.f64 x z))
(pow.f64 (*.f64 z x) #s(literal 1/4 binary64))
(pow.f64 (*.f64 x z) #s(literal 1/4 binary64))
(*.f64 z x)
(*.f64 x z)
z
x
#s(literal 1/4 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 y (fma.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 (+.f64 x z) y)) (*.f64 (*.f64 x z) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 x z) (pow.f64 y #s(literal 3 binary64))))))))
(*.f64 y (fma.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 (+.f64 x z) y)) (*.f64 (*.f64 x z) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 x z)) (pow.f64 y #s(literal 3 binary64)))))))
(*.f64 y (fma.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 (+.f64 x z) y)) (*.f64 x (*.f64 z (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 x z) (pow.f64 y #s(literal 3 binary64)))))))))
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))))))
(fma.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 (+.f64 x z) y)) (*.f64 (*.f64 x z) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 x z) (pow.f64 y #s(literal 3 binary64)))))))
(fma.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 (+.f64 x z) y)) (*.f64 (*.f64 x z) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 x z)) (pow.f64 y #s(literal 3 binary64))))))
(fma.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 (+.f64 x z) y)) (*.f64 x (*.f64 z (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 x z) (pow.f64 y #s(literal 3 binary64))))))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 (+.f64 x z) y)))
#s(literal 2 binary64)
(sqrt.f64 (/.f64 (+.f64 x z) y))
(/.f64 (+.f64 x z) y)
(+.f64 x z)
x
z
(*.f64 (*.f64 x z) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 y #s(literal 3 binary64)) (+.f64 x z)))))
(*.f64 (*.f64 x z) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 x z) (pow.f64 y #s(literal 3 binary64))))))
(*.f64 (*.f64 x z) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 x z)) (pow.f64 y #s(literal 3 binary64)))))
(*.f64 x (*.f64 z (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 x z) (pow.f64 y #s(literal 3 binary64)))))))
(*.f64 x z)
(sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 y #s(literal 3 binary64)) (+.f64 x z))))
(sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 x z) (pow.f64 y #s(literal 3 binary64)))))
(sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 x z)) (pow.f64 y #s(literal 3 binary64))))
(/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 y #s(literal 3 binary64)) (+.f64 x z)))
(/.f64 #s(literal 1 binary64) (*.f64 (+.f64 x z) (pow.f64 y #s(literal 3 binary64))))
(/.f64 (/.f64 #s(literal 1 binary64) (+.f64 x z)) (pow.f64 y #s(literal 3 binary64)))
#s(literal 1 binary64)
(*.f64 (pow.f64 y #s(literal 3 binary64)) (+.f64 x z))
(*.f64 (+.f64 x z) (pow.f64 y #s(literal 3 binary64)))
(pow.f64 y #s(literal 3 binary64))
#s(literal 3 binary64)

localize178.0ms (1.3%)

Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
accuracy96.4%
(*.f64 (pow.f64 y #s(literal 3 binary64)) (+.f64 x z))
accuracy93.6%
(sqrt.f64 (/.f64 (+.f64 x z) y))
accuracy87.0%
(*.f64 (*.f64 x z) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 y #s(literal 3 binary64)) (+.f64 x z)))))
accuracy86.0%
(sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 y #s(literal 3 binary64)) (+.f64 x z))))
accuracy100.0%
(*.f64 z x)
accuracy100.0%
(*.f64 #s(literal 2 binary64) (pow.f64 (pow.f64 (*.f64 z x) #s(literal 1/4 binary64)) #s(literal 2 binary64)))
accuracy99.6%
(pow.f64 (pow.f64 (*.f64 z x) #s(literal 1/4 binary64)) #s(literal 2 binary64))
accuracy94.0%
(pow.f64 (*.f64 z x) #s(literal 1/4 binary64))
accuracy100.0%
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 x (+.f64 (*.f64 z (/.f64 y x)) (+.f64 z y)))))
accuracy99.9%
(*.f64 z (/.f64 y x))
accuracy93.3%
(*.f64 x (+.f64 (*.f64 z (/.f64 y x)) (+.f64 z y)))
accuracy84.5%
(sqrt.f64 (*.f64 x (+.f64 (*.f64 z (/.f64 y x)) (+.f64 z y))))
accuracy100.0%
(*.f64 z y)
accuracy100.0%
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 z y)))
accuracy87.4%
(sqrt.f64 (*.f64 z y))
accuracy100.0%
(*.f64 z (*.f64 (+.f64 (*.f64 y (/.f64 #s(literal -1 binary64) x)) #s(literal -1 binary64)) (neg.f64 x)))
accuracy99.8%
(*.f64 y (/.f64 #s(literal -1 binary64) x))
accuracy98.1%
(*.f64 (+.f64 (*.f64 y (/.f64 #s(literal -1 binary64) x)) #s(literal -1 binary64)) (neg.f64 x))
accuracy84.5%
(sqrt.f64 (+.f64 (*.f64 x y) (*.f64 z (*.f64 (+.f64 (*.f64 y (/.f64 #s(literal -1 binary64) x)) #s(literal -1 binary64)) (neg.f64 x)))))
Results
68.0ms132×0valid
56.0ms124×0invalid
Compiler

Compiled 330 to 45 computations (86.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 73.0ms
ival-mult: 30.0ms (40.8% of total)
ival-pow: 14.0ms (19.1% of total)
ival-sqrt: 10.0ms (13.6% of total)
ival-div: 9.0ms (12.2% of total)
ival-add: 9.0ms (12.2% of total)
const: 1.0ms (1.4% of total)
ival-neg: 1.0ms (1.4% of total)
backward-pass: 0.0ms (0% of total)

series800.0ms (5.8%)

Counts
24 → 634
Calls
Call 1
Inputs
#<alt (*.f64 z (*.f64 (+.f64 (*.f64 y (/.f64 #s(literal -1 binary64) x)) #s(literal -1 binary64)) (neg.f64 x)))>
#<alt (*.f64 (+.f64 (*.f64 y (/.f64 #s(literal -1 binary64) x)) #s(literal -1 binary64)) (neg.f64 x))>
#<alt (+.f64 (*.f64 y (/.f64 #s(literal -1 binary64) x)) #s(literal -1 binary64))>
#<alt (*.f64 y (/.f64 #s(literal -1 binary64) x))>
#<alt (*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 z y)))>
#<alt (sqrt.f64 (*.f64 z y))>
#<alt (*.f64 z y)>
#<alt (*.f64 z (/.f64 y x))>
#<alt (/.f64 y x)>
#<alt (+.f64 z y)>
#<alt (*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 x (+.f64 (*.f64 z (/.f64 y x)) (+.f64 z y)))))>
#<alt (*.f64 #s(literal 2 binary64) (pow.f64 (pow.f64 (*.f64 z x) #s(literal 1/4 binary64)) #s(literal 2 binary64)))>
#<alt (pow.f64 (pow.f64 (*.f64 z x) #s(literal 1/4 binary64)) #s(literal 2 binary64))>
#<alt (pow.f64 (*.f64 z x) #s(literal 1/4 binary64))>
#<alt (*.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 (+.f64 x z) y)))>
#<alt (sqrt.f64 (/.f64 (+.f64 x z) y))>
#<alt (/.f64 (+.f64 x z) y)>
#<alt (+.f64 x z)>
#<alt (sqrt.f64 (+.f64 (*.f64 x y) (*.f64 z (*.f64 (+.f64 (*.f64 y (/.f64 #s(literal -1 binary64) x)) #s(literal -1 binary64)) (neg.f64 x)))))>
#<alt (sqrt.f64 (*.f64 x (+.f64 (*.f64 z (/.f64 y x)) (+.f64 z y))))>
#<alt (*.f64 x (+.f64 (*.f64 z (/.f64 y x)) (+.f64 z y)))>
#<alt (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 y #s(literal 3 binary64)) (+.f64 x z))))>
#<alt (*.f64 (*.f64 x z) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 y #s(literal 3 binary64)) (+.f64 x z)))))>
#<alt (*.f64 (pow.f64 y #s(literal 3 binary64)) (+.f64 x z))>
Outputs
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (*.f64 z (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 y x)) #s(literal 1 binary64)))))>
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#<alt (*.f64 x (+.f64 (sqrt.f64 (/.f64 z (pow.f64 y #s(literal 3 binary64)))) (*.f64 x (+.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 y #s(literal 3 binary64)) z)))) (*.f64 x (+.f64 (*.f64 #s(literal -5/16 binary64) (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 5 binary64))))))) (*.f64 #s(literal 3/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))))))))))))>
#<alt (*.f64 (sqrt.f64 (/.f64 x (pow.f64 y #s(literal 3 binary64)))) z)>
#<alt (*.f64 x (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))) (pow.f64 z #s(literal 2 binary64)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (pow.f64 y #s(literal 3 binary64))))) z)))>
#<alt (*.f64 x (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))) (pow.f64 z #s(literal 2 binary64)))) (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 5 binary64)) (pow.f64 y #s(literal 3 binary64))))) (pow.f64 z #s(literal 3 binary64)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (pow.f64 y #s(literal 3 binary64))))) z))))>
#<alt (*.f64 x (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))) (pow.f64 z #s(literal 2 binary64)))) (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 7 binary64)))) (*.f64 z (+.f64 (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 x (pow.f64 z #s(literal 2 binary64))) (pow.f64 y #s(literal 3 binary64)))) (/.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))))) (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 5 binary64)) (pow.f64 y #s(literal 3 binary64))))) (pow.f64 z #s(literal 3 binary64)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (pow.f64 y #s(literal 3 binary64))))) z)))))>
#<alt (*.f64 (sqrt.f64 (/.f64 x (pow.f64 y #s(literal 3 binary64)))) (*.f64 z (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (pow.f64 y #s(literal 3 binary64))))) (*.f64 z (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))) (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))) (pow.f64 z #s(literal 2 binary64)))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (pow.f64 y #s(literal 3 binary64))))) (*.f64 z (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))) (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 5 binary64)) (pow.f64 y #s(literal 3 binary64))))) (pow.f64 z #s(literal 3 binary64)))) (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))) (pow.f64 z #s(literal 2 binary64))))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (pow.f64 y #s(literal 3 binary64))))) (*.f64 z (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) x)) (*.f64 z (+.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 x (pow.f64 z #s(literal 2 binary64))) (*.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))) (/.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))))) (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 x (pow.f64 y #s(literal 3 binary64)))) (pow.f64 z #s(literal 3 binary64))))) (pow.f64 x #s(literal 3 binary64)))) (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))) (pow.f64 z #s(literal 2 binary64))))))))>
#<alt (*.f64 (sqrt.f64 (/.f64 x (pow.f64 y #s(literal 3 binary64)))) z)>
#<alt (*.f64 z (+.f64 (sqrt.f64 (/.f64 x (pow.f64 y #s(literal 3 binary64)))) (*.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (pow.f64 y #s(literal 3 binary64))))) z))))>
#<alt (*.f64 z (+.f64 (sqrt.f64 (/.f64 x (pow.f64 y #s(literal 3 binary64)))) (*.f64 z (+.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (pow.f64 y #s(literal 3 binary64)))))) (*.f64 #s(literal 3/8 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))) z))))))>
#<alt (*.f64 z (+.f64 (sqrt.f64 (/.f64 x (pow.f64 y #s(literal 3 binary64)))) (*.f64 z (+.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (pow.f64 y #s(literal 3 binary64)))))) (*.f64 z (+.f64 (*.f64 #s(literal -5/16 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 5 binary64)) (pow.f64 y #s(literal 3 binary64))))) z)) (*.f64 #s(literal 3/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))))))))))>
#<alt (*.f64 x (sqrt.f64 (/.f64 z (pow.f64 y #s(literal 3 binary64)))))>
#<alt (*.f64 z (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (pow.f64 x #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 x (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 y #s(literal 3 binary64)) z))))))>
#<alt (*.f64 z (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))))))) (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 5 binary64))))))) (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 y #s(literal 3 binary64)) z)))))))>
#<alt (*.f64 z (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 x (+.f64 (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) z) (pow.f64 y #s(literal 3 binary64)))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))) (sqrt.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 7 binary64)))))) (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))))))) (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 5 binary64))))))) (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 y #s(literal 3 binary64)) z))))))))>
#<alt (*.f64 (*.f64 x (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (sqrt.f64 (/.f64 z (pow.f64 y #s(literal 3 binary64)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 (*.f64 x (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 y #s(literal 3 binary64)) z))))) (*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 x #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))))))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 (*.f64 x (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 y #s(literal 3 binary64)) z))))) (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 5 binary64))))))) (*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 x #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)))))))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 (*.f64 x (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 y #s(literal 3 binary64)) z))))) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 x (+.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) z) (*.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))) (sqrt.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) z)))) (*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) (sqrt.f64 (/.f64 z (pow.f64 y #s(literal 3 binary64))))))) (pow.f64 z #s(literal 3 binary64)))) (*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 x #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)))))))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (*.f64 x (*.f64 z (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 y #s(literal 3 binary64)) (+.f64 x z))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (*.f64 x (*.f64 z (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 y #s(literal 3 binary64)) (+.f64 x z))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (*.f64 x (*.f64 z (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 y #s(literal 3 binary64)) (+.f64 x z))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (*.f64 x (*.f64 z (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 y #s(literal 3 binary64)) (+.f64 x z))))))>
#<alt (*.f64 (pow.f64 y #s(literal 3 binary64)) z)>
#<alt (+.f64 (*.f64 x (pow.f64 y #s(literal 3 binary64))) (*.f64 (pow.f64 y #s(literal 3 binary64)) z))>
#<alt (+.f64 (*.f64 x (pow.f64 y #s(literal 3 binary64))) (*.f64 (pow.f64 y #s(literal 3 binary64)) z))>
#<alt (+.f64 (*.f64 x (pow.f64 y #s(literal 3 binary64))) (*.f64 (pow.f64 y #s(literal 3 binary64)) z))>
#<alt (*.f64 x (pow.f64 y #s(literal 3 binary64)))>
#<alt (*.f64 x (+.f64 (/.f64 (*.f64 (pow.f64 y #s(literal 3 binary64)) z) x) (pow.f64 y #s(literal 3 binary64))))>
#<alt (*.f64 x (+.f64 (/.f64 (*.f64 (pow.f64 y #s(literal 3 binary64)) z) x) (pow.f64 y #s(literal 3 binary64))))>
#<alt (*.f64 x (+.f64 (/.f64 (*.f64 (pow.f64 y #s(literal 3 binary64)) z) x) (pow.f64 y #s(literal 3 binary64))))>
#<alt (*.f64 x (pow.f64 y #s(literal 3 binary64)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 (pow.f64 y #s(literal 3 binary64)) z) x)) (*.f64 #s(literal -1 binary64) (pow.f64 y #s(literal 3 binary64))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 (pow.f64 y #s(literal 3 binary64)) z) x)) (*.f64 #s(literal -1 binary64) (pow.f64 y #s(literal 3 binary64))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 (pow.f64 y #s(literal 3 binary64)) z) x)) (*.f64 #s(literal -1 binary64) (pow.f64 y #s(literal 3 binary64))))))>
#<alt (*.f64 x (pow.f64 y #s(literal 3 binary64)))>
#<alt (+.f64 (*.f64 x (pow.f64 y #s(literal 3 binary64))) (*.f64 (pow.f64 y #s(literal 3 binary64)) z))>
#<alt (+.f64 (*.f64 x (pow.f64 y #s(literal 3 binary64))) (*.f64 (pow.f64 y #s(literal 3 binary64)) z))>
#<alt (+.f64 (*.f64 x (pow.f64 y #s(literal 3 binary64))) (*.f64 (pow.f64 y #s(literal 3 binary64)) z))>
#<alt (*.f64 (pow.f64 y #s(literal 3 binary64)) z)>
#<alt (*.f64 z (+.f64 (/.f64 (*.f64 x (pow.f64 y #s(literal 3 binary64))) z) (pow.f64 y #s(literal 3 binary64))))>
#<alt (*.f64 z (+.f64 (/.f64 (*.f64 x (pow.f64 y #s(literal 3 binary64))) z) (pow.f64 y #s(literal 3 binary64))))>
#<alt (*.f64 z (+.f64 (/.f64 (*.f64 x (pow.f64 y #s(literal 3 binary64))) z) (pow.f64 y #s(literal 3 binary64))))>
#<alt (*.f64 (pow.f64 y #s(literal 3 binary64)) z)>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x (pow.f64 y #s(literal 3 binary64))) z)) (*.f64 #s(literal -1 binary64) (pow.f64 y #s(literal 3 binary64))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x (pow.f64 y #s(literal 3 binary64))) z)) (*.f64 #s(literal -1 binary64) (pow.f64 y #s(literal 3 binary64))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x (pow.f64 y #s(literal 3 binary64))) z)) (*.f64 #s(literal -1 binary64) (pow.f64 y #s(literal 3 binary64))))))>
Calls

180 calls:

TimeVariablePointExpression
260.0ms
x
@-inf
(* (* x z) (sqrt (/ 1 (* (pow y 3) (+ x z)))))
56.0ms
x
@0
(pow (* z x) 1/4)
46.0ms
x
@inf
(pow (* z x) 1/4)
35.0ms
y
@inf
(sqrt (+ (* x y) (* z (* (+ (* y (/ -1 x)) -1) (neg x)))))
21.0ms
z
@-inf
(pow (* z x) 1/4)

rewrite508.0ms (3.7%)

Algorithm
batch-egg-rewrite
Rules
367×log1p-expm1-u
367×expm1-log1p-u
358×add-exp-log
357×add-log-exp
357×add-cube-cbrt
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
048706
1851690
Stop Event
node limit
Counts
24 → 432
Calls
Call 1
Inputs
(*.f64 z (*.f64 (+.f64 (*.f64 y (/.f64 #s(literal -1 binary64) x)) #s(literal -1 binary64)) (neg.f64 x)))
(*.f64 (+.f64 (*.f64 y (/.f64 #s(literal -1 binary64) x)) #s(literal -1 binary64)) (neg.f64 x))
(+.f64 (*.f64 y (/.f64 #s(literal -1 binary64) x)) #s(literal -1 binary64))
(*.f64 y (/.f64 #s(literal -1 binary64) x))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 z y)))
(sqrt.f64 (*.f64 z y))
(*.f64 z y)
(*.f64 z (/.f64 y x))
(/.f64 y x)
(+.f64 z y)
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 x (+.f64 (*.f64 z (/.f64 y x)) (+.f64 z y)))))
(*.f64 #s(literal 2 binary64) (pow.f64 (pow.f64 (*.f64 z x) #s(literal 1/4 binary64)) #s(literal 2 binary64)))
(pow.f64 (pow.f64 (*.f64 z x) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(pow.f64 (*.f64 z x) #s(literal 1/4 binary64))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 (+.f64 x z) y)))
(sqrt.f64 (/.f64 (+.f64 x z) y))
(/.f64 (+.f64 x z) y)
(+.f64 x z)
(sqrt.f64 (+.f64 (*.f64 x y) (*.f64 z (*.f64 (+.f64 (*.f64 y (/.f64 #s(literal -1 binary64) x)) #s(literal -1 binary64)) (neg.f64 x)))))
(sqrt.f64 (*.f64 x (+.f64 (*.f64 z (/.f64 y x)) (+.f64 z y))))
(*.f64 x (+.f64 (*.f64 z (/.f64 y x)) (+.f64 z y)))
(sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 y #s(literal 3 binary64)) (+.f64 x z))))
(*.f64 (*.f64 x z) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 y #s(literal 3 binary64)) (+.f64 x z)))))
(*.f64 (pow.f64 y #s(literal 3 binary64)) (+.f64 x z))
Outputs
(-.f64 (exp.f64 (log1p.f64 (*.f64 (*.f64 z (fma.f64 y (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64))) (neg.f64 x)))) #s(literal 1 binary64))
(pow.f64 (*.f64 (*.f64 z (fma.f64 y (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64))) (neg.f64 x)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 (*.f64 z (fma.f64 y (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64))) (neg.f64 x))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 (*.f64 z (fma.f64 y (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64))) (neg.f64 x)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 (*.f64 z (fma.f64 y (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64))) (neg.f64 x))) #s(literal 2 binary64))
(log.f64 (pow.f64 (pow.f64 (exp.f64 (neg.f64 x)) (fma.f64 y (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64))) z))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (*.f64 z (fma.f64 y (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64))) (neg.f64 x)))))
(cbrt.f64 (pow.f64 (*.f64 (*.f64 z (fma.f64 y (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64))) (neg.f64 x)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 (*.f64 z (fma.f64 y (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64))) (neg.f64 x))))
(log1p.f64 (expm1.f64 (*.f64 (*.f64 z (fma.f64 y (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64))) (neg.f64 x))))
(exp.f64 (log.f64 (*.f64 (*.f64 z (fma.f64 y (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64))) (neg.f64 x))))
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(pow.f64 (cbrt.f64 (*.f64 x (+.f64 (fma.f64 z (/.f64 y x) z) y))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 x (+.f64 (fma.f64 z (/.f64 y x) z) y)) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (*.f64 x (+.f64 (fma.f64 z (/.f64 y x) z) y)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(log.f64 (pow.f64 (exp.f64 x) (+.f64 (fma.f64 z (/.f64 y x) z) y)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x (+.f64 (fma.f64 z (/.f64 y x) z) y)))))
(cbrt.f64 (pow.f64 (*.f64 x (+.f64 (fma.f64 z (/.f64 y x) z) y)) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (+.f64 (fma.f64 z (/.f64 y x) z) y) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (+.f64 (fma.f64 z (/.f64 y x) z) y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (*.f64 x (+.f64 (fma.f64 z (/.f64 y x) z) y)) #s(literal 3/2 binary64)) (pow.f64 (*.f64 x (+.f64 (fma.f64 z (/.f64 y x) z) y)) #s(literal 3/2 binary64))))
(expm1.f64 (log1p.f64 (*.f64 x (+.f64 (fma.f64 z (/.f64 y x) z) y))))
(log1p.f64 (expm1.f64 (*.f64 x (+.f64 (fma.f64 z (/.f64 y x) z) y))))
(exp.f64 (log.f64 (*.f64 x (+.f64 (fma.f64 z (/.f64 y x) z) y))))
(exp.f64 (*.f64 (log.f64 (*.f64 x (+.f64 (fma.f64 z (/.f64 y x) z) y))) #s(literal 1 binary64)))
(fma.f64 x (*.f64 z (/.f64 y x)) (*.f64 x (+.f64 z y)))
(fma.f64 (*.f64 z (/.f64 y x)) x (*.f64 (+.f64 z y) x))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (/.f64 (pow.f64 y #s(literal -3 binary64)) (+.f64 z x))))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 (pow.f64 y #s(literal -3 binary64)) (+.f64 z x))))
(*.f64 (cbrt.f64 (/.f64 (pow.f64 y #s(literal -3 binary64)) (+.f64 z x))) (cbrt.f64 (sqrt.f64 (/.f64 (pow.f64 y #s(literal -3 binary64)) (+.f64 z x)))))
(*.f64 (pow.f64 (/.f64 (pow.f64 y #s(literal -3 binary64)) (+.f64 z x)) #s(literal 1/4 binary64)) (pow.f64 (/.f64 (pow.f64 y #s(literal -3 binary64)) (+.f64 z x)) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/2 binary64)) (sqrt.f64 (/.f64 (pow.f64 y #s(literal -3 binary64)) (+.f64 z x))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (/.f64 (pow.f64 y #s(literal -3 binary64)) (+.f64 z x))) #s(literal 2 binary64)) #s(literal 1/2 binary64)) (pow.f64 (cbrt.f64 (/.f64 (pow.f64 y #s(literal -3 binary64)) (+.f64 z x))) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 (pow.f64 y #s(literal -3 binary64)) (+.f64 z x))) #s(literal 2 binary64))) (sqrt.f64 (cbrt.f64 (/.f64 (pow.f64 y #s(literal -3 binary64)) (+.f64 z x)))))
(/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (+.f64 z x)) (pow.f64 y #s(literal 3/2 binary64))))
(/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 (*.f64 (+.f64 z x) (pow.f64 y #s(literal 3 binary64))) #s(literal 1 binary64))))
(/.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (neg.f64 (*.f64 (+.f64 z x) (pow.f64 y #s(literal 3 binary64))))))
(/.f64 (sqrt.f64 (pow.f64 y #s(literal -3 binary64))) (sqrt.f64 (+.f64 z x)))
(pow.f64 (*.f64 (+.f64 z x) (pow.f64 y #s(literal 3 binary64))) #s(literal -1/2 binary64))
(pow.f64 (/.f64 (pow.f64 y #s(literal -3 binary64)) (+.f64 z x)) #s(literal 1/2 binary64))
(pow.f64 (sqrt.f64 (/.f64 (pow.f64 y #s(literal -3 binary64)) (+.f64 z x))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (sqrt.f64 (/.f64 (pow.f64 y #s(literal -3 binary64)) (+.f64 z x)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (/.f64 (pow.f64 y #s(literal -3 binary64)) (+.f64 z x)) #s(literal 3/2 binary64)) #s(literal 1/3 binary64))
(pow.f64 (*.f64 (sqrt.f64 (+.f64 z x)) (pow.f64 y #s(literal 3/2 binary64))) #s(literal -1 binary64))
(pow.f64 (pow.f64 (/.f64 (pow.f64 y #s(literal -3 binary64)) (+.f64 z x)) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(log.f64 (exp.f64 (sqrt.f64 (/.f64 (pow.f64 y #s(literal -3 binary64)) (+.f64 z x)))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (sqrt.f64 (/.f64 (pow.f64 y #s(literal -3 binary64)) (+.f64 z x))))))
(cbrt.f64 (pow.f64 (/.f64 (pow.f64 y #s(literal -3 binary64)) (+.f64 z x)) #s(literal 3/2 binary64)))
(expm1.f64 (log1p.f64 (sqrt.f64 (/.f64 (pow.f64 y #s(literal -3 binary64)) (+.f64 z x)))))
(log1p.f64 (expm1.f64 (sqrt.f64 (/.f64 (pow.f64 y #s(literal -3 binary64)) (+.f64 z x)))))
(exp.f64 (log.f64 (sqrt.f64 (/.f64 (pow.f64 y #s(literal -3 binary64)) (+.f64 z x)))))
(exp.f64 (*.f64 (log.f64 (/.f64 (pow.f64 y #s(literal -3 binary64)) (+.f64 z x))) #s(literal 1/2 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 (pow.f64 y #s(literal -3 binary64)) (+.f64 z x)))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (*.f64 z x) (sqrt.f64 (/.f64 (pow.f64 y #s(literal -3 binary64)) (+.f64 z x)))))) #s(literal 1 binary64))
(pow.f64 (*.f64 (*.f64 z x) (sqrt.f64 (/.f64 (pow.f64 y #s(literal -3 binary64)) (+.f64 z x)))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 (*.f64 z x) (sqrt.f64 (/.f64 (pow.f64 y #s(literal -3 binary64)) (+.f64 z x))))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 (*.f64 z x) (sqrt.f64 (/.f64 (pow.f64 y #s(literal -3 binary64)) (+.f64 z x)))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 (*.f64 z x) (sqrt.f64 (/.f64 (pow.f64 y #s(literal -3 binary64)) (+.f64 z x))))) #s(literal 2 binary64))
(log.f64 (pow.f64 (pow.f64 (exp.f64 z) x) (sqrt.f64 (/.f64 (pow.f64 y #s(literal -3 binary64)) (+.f64 z x)))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (*.f64 z x) (sqrt.f64 (/.f64 (pow.f64 y #s(literal -3 binary64)) (+.f64 z x)))))))
(cbrt.f64 (pow.f64 (*.f64 (*.f64 z x) (sqrt.f64 (/.f64 (pow.f64 y #s(literal -3 binary64)) (+.f64 z x)))) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 (*.f64 z x) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 y #s(literal -3 binary64)) (+.f64 z x)) #s(literal 3/2 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 (pow.f64 y #s(literal -3 binary64)) (+.f64 z x)) #s(literal 3/2 binary64)) (pow.f64 (*.f64 z x) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 (*.f64 z x) (sqrt.f64 (/.f64 (pow.f64 y #s(literal -3 binary64)) (+.f64 z x))))))
(log1p.f64 (expm1.f64 (*.f64 (*.f64 z x) (sqrt.f64 (/.f64 (pow.f64 y #s(literal -3 binary64)) (+.f64 z x))))))
(exp.f64 (log.f64 (*.f64 (*.f64 z x) (sqrt.f64 (/.f64 (pow.f64 y #s(literal -3 binary64)) (+.f64 z x))))))
(exp.f64 (*.f64 (log.f64 (*.f64 (*.f64 z x) (sqrt.f64 (/.f64 (pow.f64 y #s(literal -3 binary64)) (+.f64 z x))))) #s(literal 1 binary64)))
(+.f64 (*.f64 (pow.f64 y #s(literal 3 binary64)) x) (*.f64 (pow.f64 y #s(literal 3 binary64)) z))
(+.f64 (*.f64 x (pow.f64 y #s(literal 3 binary64))) (*.f64 z (pow.f64 y #s(literal 3 binary64))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (+.f64 z x) (pow.f64 y #s(literal 3 binary64))))) #s(literal 1 binary64))
(pow.f64 (*.f64 (+.f64 z x) (pow.f64 y #s(literal 3 binary64))) #s(literal 1 binary64))
(pow.f64 (*.f64 y (cbrt.f64 (+.f64 z x))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 (+.f64 z x) (pow.f64 y #s(literal 3 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (*.f64 (sqrt.f64 (+.f64 z x)) (pow.f64 y #s(literal 3/2 binary64))) #s(literal 2 binary64))
(log.f64 (pow.f64 (exp.f64 (pow.f64 y #s(literal 3 binary64))) (+.f64 z x)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (+.f64 z x) (pow.f64 y #s(literal 3 binary64))))))
(cbrt.f64 (pow.f64 (*.f64 (+.f64 z x) (pow.f64 y #s(literal 3 binary64))) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 (+.f64 z x) #s(literal 3 binary64)) (pow.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 3 binary64)) (pow.f64 (+.f64 z x) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 (+.f64 z x) (pow.f64 y #s(literal 3 binary64)))))
(log1p.f64 (expm1.f64 (*.f64 (+.f64 z x) (pow.f64 y #s(literal 3 binary64)))))
(exp.f64 (log.f64 (*.f64 (+.f64 z x) (pow.f64 y #s(literal 3 binary64)))))
(exp.f64 (*.f64 (log.f64 (*.f64 (+.f64 z x) (pow.f64 y #s(literal 3 binary64)))) #s(literal 1 binary64)))
(fma.f64 x (pow.f64 y #s(literal 3 binary64)) (*.f64 z (pow.f64 y #s(literal 3 binary64))))
(fma.f64 (pow.f64 y #s(literal 3 binary64)) x (*.f64 (pow.f64 y #s(literal 3 binary64)) z))

simplify463.0ms (3.4%)

Algorithm
egg-herbie
Rules
759×*-commutative
328×+-commutative
272×associate-*r*
215×fma-define
213×distribute-rgt-neg-in
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0207554281
1585551802
Stop Event
node limit
Counts
1066 → 1088
Calls
Call 1
Inputs
(*.f64 #s(literal -1 binary64) (*.f64 x (*.f64 z (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 y x)) #s(literal 1 binary64)))))
(*.f64 #s(literal -1 binary64) (*.f64 x (*.f64 z (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 y x)) #s(literal 1 binary64)))))
(*.f64 #s(literal -1 binary64) (*.f64 x (*.f64 z (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 y x)) #s(literal 1 binary64)))))
(*.f64 #s(literal -1 binary64) (*.f64 x (*.f64 z (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 y x)) #s(literal 1 binary64)))))
(*.f64 #s(literal -1 binary64) (*.f64 x (*.f64 z (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 y x)) #s(literal 1 binary64)))))
(*.f64 #s(literal -1 binary64) (*.f64 x (*.f64 z (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 y x)) #s(literal 1 binary64)))))
(*.f64 #s(literal -1 binary64) (*.f64 x (*.f64 z (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 y x)) #s(literal 1 binary64)))))
(*.f64 #s(literal -1 binary64) (*.f64 x (*.f64 z (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 y x)) #s(literal 1 binary64)))))
(*.f64 #s(literal -1 binary64) (*.f64 x (*.f64 z (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 y x)) #s(literal 1 binary64)))))
(*.f64 #s(literal -1 binary64) (*.f64 x (*.f64 z (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 y x)) #s(literal 1 binary64)))))
(*.f64 #s(literal -1 binary64) (*.f64 x (*.f64 z (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 y x)) #s(literal 1 binary64)))))
(*.f64 #s(literal -1 binary64) (*.f64 x (*.f64 z (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 y x)) #s(literal 1 binary64)))))
(*.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
(*.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 #s(literal -1 binary64) (*.f64 y (-.f64 (*.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))))
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))))
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 y x)) #s(literal 1 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 y x)) #s(literal 1 binary64))))
#s(literal -1 binary64)
(-.f64 (*.f64 #s(literal -1 binary64) (/.f64 y x)) #s(literal 1 binary64))
(-.f64 (*.f64 #s(literal -1 binary64) (/.f64 y x)) #s(literal 1 binary64))
(-.f64 (*.f64 #s(literal -1 binary64) (/.f64 y x)) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) (/.f64 y x))
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) y))))
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) y))))
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) y))))
(*.f64 #s(literal -1 binary64) (/.f64 y x))
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) y))))
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) y))))
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) y))))
(*.f64 #s(literal -1 binary64) (/.f64 y x))
(/.f64 (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1 binary64) y)) x)
(/.f64 (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1 binary64) y)) x)
(/.f64 (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1 binary64) y)) x)
#s(literal -1 binary64)
(-.f64 (*.f64 #s(literal -1 binary64) (/.f64 y x)) #s(literal 1 binary64))
(-.f64 (*.f64 #s(literal -1 binary64) (/.f64 y x)) #s(literal 1 binary64))
(-.f64 (*.f64 #s(literal -1 binary64) (/.f64 y x)) #s(literal 1 binary64))
#s(literal -1 binary64)
(-.f64 (*.f64 #s(literal -1 binary64) (/.f64 y x)) #s(literal 1 binary64))
(-.f64 (*.f64 #s(literal -1 binary64) (/.f64 y x)) #s(literal 1 binary64))
(-.f64 (*.f64 #s(literal -1 binary64) (/.f64 y x)) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) (/.f64 y x))
(*.f64 #s(literal -1 binary64) (/.f64 y x))
(*.f64 #s(literal -1 binary64) (/.f64 y x))
(*.f64 #s(literal -1 binary64) (/.f64 y x))
(*.f64 #s(literal -1 binary64) (/.f64 y x))
(*.f64 #s(literal -1 binary64) (/.f64 y x))
(*.f64 #s(literal -1 binary64) (/.f64 y x))
(*.f64 #s(literal -1 binary64) (/.f64 y x))
(*.f64 #s(literal -1 binary64) (/.f64 y x))
(*.f64 #s(literal -1 binary64) (/.f64 y x))
(*.f64 #s(literal -1 binary64) (/.f64 y x))
(*.f64 #s(literal -1 binary64) (/.f64 y x))
(*.f64 #s(literal -1 binary64) (/.f64 y x))
(*.f64 #s(literal -1 binary64) (/.f64 y x))
(*.f64 #s(literal -1 binary64) (/.f64 y x))
(*.f64 #s(literal -1 binary64) (/.f64 y x))
(*.f64 #s(literal -1 binary64) (/.f64 y x))
(*.f64 #s(literal -1 binary64) (/.f64 y x))
(*.f64 #s(literal -1 binary64) (/.f64 y x))
(*.f64 #s(literal -1 binary64) (/.f64 y x))
(*.f64 #s(literal -1 binary64) (/.f64 y x))
(*.f64 #s(literal -1 binary64) (/.f64 y x))
(*.f64 #s(literal -1 binary64) (/.f64 y x))
(*.f64 #s(literal -1 binary64) (/.f64 y x))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 y z)))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 y z)))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 y z)))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 y z)))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 y z)))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 y z)))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 y z)))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 y z)))
(*.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) (*.f64 (sqrt.f64 (*.f64 y z)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 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) (*.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 y z)))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 y z)))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 y z)))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 y z)))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 y z)))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 y z)))
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(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (sqrt.f64 (*.f64 x (+.f64 (fma.f64 z (/.f64 y x) z) y))))))
(cbrt.f64 (pow.f64 (*.f64 x (+.f64 (fma.f64 z (/.f64 y x) z) y)) #s(literal 3/2 binary64)))
(expm1.f64 (log1p.f64 (sqrt.f64 (*.f64 x (+.f64 (fma.f64 z (/.f64 y x) z) y)))))
(log1p.f64 (expm1.f64 (sqrt.f64 (*.f64 x (+.f64 (fma.f64 z (/.f64 y x) z) y)))))
(exp.f64 (log.f64 (sqrt.f64 (*.f64 x (+.f64 (fma.f64 z (/.f64 y x) z) y)))))
(exp.f64 (*.f64 (log.f64 (*.f64 x (+.f64 (fma.f64 z (/.f64 y x) z) y))) #s(literal 1/2 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 x (+.f64 (fma.f64 z (/.f64 y x) z) y)))) #s(literal 1 binary64)))
(+.f64 (*.f64 x (*.f64 z (/.f64 y x))) (*.f64 x (+.f64 z y)))
(+.f64 (*.f64 (*.f64 z (/.f64 y x)) x) (*.f64 (+.f64 z y) x))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x (+.f64 (fma.f64 z (/.f64 y x) z) y)))) #s(literal 1 binary64))
(pow.f64 (*.f64 x (+.f64 (fma.f64 z (/.f64 y x) z) y)) #s(literal 1 binary64))
(pow.f64 (sqrt.f64 (*.f64 x (+.f64 (fma.f64 z (/.f64 y x) z) y))) #s(literal 2 binary64))
(pow.f64 (cbrt.f64 (*.f64 x (+.f64 (fma.f64 z (/.f64 y x) z) y))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 x (+.f64 (fma.f64 z (/.f64 y x) z) y)) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (*.f64 x (+.f64 (fma.f64 z (/.f64 y x) z) y)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(log.f64 (pow.f64 (exp.f64 x) (+.f64 (fma.f64 z (/.f64 y x) z) y)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x (+.f64 (fma.f64 z (/.f64 y x) z) y)))))
(cbrt.f64 (pow.f64 (*.f64 x (+.f64 (fma.f64 z (/.f64 y x) z) y)) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (+.f64 (fma.f64 z (/.f64 y x) z) y) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (+.f64 (fma.f64 z (/.f64 y x) z) y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (*.f64 x (+.f64 (fma.f64 z (/.f64 y x) z) y)) #s(literal 3/2 binary64)) (pow.f64 (*.f64 x (+.f64 (fma.f64 z (/.f64 y x) z) y)) #s(literal 3/2 binary64))))
(expm1.f64 (log1p.f64 (*.f64 x (+.f64 (fma.f64 z (/.f64 y x) z) y))))
(log1p.f64 (expm1.f64 (*.f64 x (+.f64 (fma.f64 z (/.f64 y x) z) y))))
(exp.f64 (log.f64 (*.f64 x (+.f64 (fma.f64 z (/.f64 y x) z) y))))
(exp.f64 (*.f64 (log.f64 (*.f64 x (+.f64 (fma.f64 z (/.f64 y x) z) y))) #s(literal 1 binary64)))
(fma.f64 x (*.f64 z (/.f64 y x)) (*.f64 x (+.f64 z y)))
(fma.f64 (*.f64 z (/.f64 y x)) x (*.f64 (+.f64 z y) x))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (/.f64 (pow.f64 y #s(literal -3 binary64)) (+.f64 z x))))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 (pow.f64 y #s(literal -3 binary64)) (+.f64 z x))))
(*.f64 (cbrt.f64 (/.f64 (pow.f64 y #s(literal -3 binary64)) (+.f64 z x))) (cbrt.f64 (sqrt.f64 (/.f64 (pow.f64 y #s(literal -3 binary64)) (+.f64 z x)))))
(*.f64 (pow.f64 (/.f64 (pow.f64 y #s(literal -3 binary64)) (+.f64 z x)) #s(literal 1/4 binary64)) (pow.f64 (/.f64 (pow.f64 y #s(literal -3 binary64)) (+.f64 z x)) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/2 binary64)) (sqrt.f64 (/.f64 (pow.f64 y #s(literal -3 binary64)) (+.f64 z x))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (/.f64 (pow.f64 y #s(literal -3 binary64)) (+.f64 z x))) #s(literal 2 binary64)) #s(literal 1/2 binary64)) (pow.f64 (cbrt.f64 (/.f64 (pow.f64 y #s(literal -3 binary64)) (+.f64 z x))) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 (pow.f64 y #s(literal -3 binary64)) (+.f64 z x))) #s(literal 2 binary64))) (sqrt.f64 (cbrt.f64 (/.f64 (pow.f64 y #s(literal -3 binary64)) (+.f64 z x)))))
(/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (+.f64 z x)) (pow.f64 y #s(literal 3/2 binary64))))
(/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 (*.f64 (+.f64 z x) (pow.f64 y #s(literal 3 binary64))) #s(literal 1 binary64))))
(/.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (neg.f64 (*.f64 (+.f64 z x) (pow.f64 y #s(literal 3 binary64))))))
(/.f64 (sqrt.f64 (pow.f64 y #s(literal -3 binary64))) (sqrt.f64 (+.f64 z x)))
(pow.f64 (*.f64 (+.f64 z x) (pow.f64 y #s(literal 3 binary64))) #s(literal -1/2 binary64))
(pow.f64 (/.f64 (pow.f64 y #s(literal -3 binary64)) (+.f64 z x)) #s(literal 1/2 binary64))
(pow.f64 (sqrt.f64 (/.f64 (pow.f64 y #s(literal -3 binary64)) (+.f64 z x))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (sqrt.f64 (/.f64 (pow.f64 y #s(literal -3 binary64)) (+.f64 z x)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (/.f64 (pow.f64 y #s(literal -3 binary64)) (+.f64 z x)) #s(literal 3/2 binary64)) #s(literal 1/3 binary64))
(pow.f64 (*.f64 (sqrt.f64 (+.f64 z x)) (pow.f64 y #s(literal 3/2 binary64))) #s(literal -1 binary64))
(pow.f64 (pow.f64 (/.f64 (pow.f64 y #s(literal -3 binary64)) (+.f64 z x)) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(log.f64 (exp.f64 (sqrt.f64 (/.f64 (pow.f64 y #s(literal -3 binary64)) (+.f64 z x)))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (sqrt.f64 (/.f64 (pow.f64 y #s(literal -3 binary64)) (+.f64 z x))))))
(cbrt.f64 (pow.f64 (/.f64 (pow.f64 y #s(literal -3 binary64)) (+.f64 z x)) #s(literal 3/2 binary64)))
(expm1.f64 (log1p.f64 (sqrt.f64 (/.f64 (pow.f64 y #s(literal -3 binary64)) (+.f64 z x)))))
(log1p.f64 (expm1.f64 (sqrt.f64 (/.f64 (pow.f64 y #s(literal -3 binary64)) (+.f64 z x)))))
(exp.f64 (log.f64 (sqrt.f64 (/.f64 (pow.f64 y #s(literal -3 binary64)) (+.f64 z x)))))
(exp.f64 (*.f64 (log.f64 (/.f64 (pow.f64 y #s(literal -3 binary64)) (+.f64 z x))) #s(literal 1/2 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 (pow.f64 y #s(literal -3 binary64)) (+.f64 z x)))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (*.f64 z x) (sqrt.f64 (/.f64 (pow.f64 y #s(literal -3 binary64)) (+.f64 z x)))))) #s(literal 1 binary64))
(pow.f64 (*.f64 (*.f64 z x) (sqrt.f64 (/.f64 (pow.f64 y #s(literal -3 binary64)) (+.f64 z x)))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 (*.f64 z x) (sqrt.f64 (/.f64 (pow.f64 y #s(literal -3 binary64)) (+.f64 z x))))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 (*.f64 z x) (sqrt.f64 (/.f64 (pow.f64 y #s(literal -3 binary64)) (+.f64 z x)))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 (*.f64 z x) (sqrt.f64 (/.f64 (pow.f64 y #s(literal -3 binary64)) (+.f64 z x))))) #s(literal 2 binary64))
(log.f64 (pow.f64 (pow.f64 (exp.f64 z) x) (sqrt.f64 (/.f64 (pow.f64 y #s(literal -3 binary64)) (+.f64 z x)))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (*.f64 z x) (sqrt.f64 (/.f64 (pow.f64 y #s(literal -3 binary64)) (+.f64 z x)))))))
(cbrt.f64 (pow.f64 (*.f64 (*.f64 z x) (sqrt.f64 (/.f64 (pow.f64 y #s(literal -3 binary64)) (+.f64 z x)))) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 (*.f64 z x) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 y #s(literal -3 binary64)) (+.f64 z x)) #s(literal 3/2 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 (pow.f64 y #s(literal -3 binary64)) (+.f64 z x)) #s(literal 3/2 binary64)) (pow.f64 (*.f64 z x) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 (*.f64 z x) (sqrt.f64 (/.f64 (pow.f64 y #s(literal -3 binary64)) (+.f64 z x))))))
(log1p.f64 (expm1.f64 (*.f64 (*.f64 z x) (sqrt.f64 (/.f64 (pow.f64 y #s(literal -3 binary64)) (+.f64 z x))))))
(exp.f64 (log.f64 (*.f64 (*.f64 z x) (sqrt.f64 (/.f64 (pow.f64 y #s(literal -3 binary64)) (+.f64 z x))))))
(exp.f64 (*.f64 (log.f64 (*.f64 (*.f64 z x) (sqrt.f64 (/.f64 (pow.f64 y #s(literal -3 binary64)) (+.f64 z x))))) #s(literal 1 binary64)))
(+.f64 (*.f64 (pow.f64 y #s(literal 3 binary64)) x) (*.f64 (pow.f64 y #s(literal 3 binary64)) z))
(+.f64 (*.f64 x (pow.f64 y #s(literal 3 binary64))) (*.f64 z (pow.f64 y #s(literal 3 binary64))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (+.f64 z x) (pow.f64 y #s(literal 3 binary64))))) #s(literal 1 binary64))
(pow.f64 (*.f64 (+.f64 z x) (pow.f64 y #s(literal 3 binary64))) #s(literal 1 binary64))
(pow.f64 (*.f64 y (cbrt.f64 (+.f64 z x))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 (+.f64 z x) (pow.f64 y #s(literal 3 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (*.f64 (sqrt.f64 (+.f64 z x)) (pow.f64 y #s(literal 3/2 binary64))) #s(literal 2 binary64))
(log.f64 (pow.f64 (exp.f64 (pow.f64 y #s(literal 3 binary64))) (+.f64 z x)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (+.f64 z x) (pow.f64 y #s(literal 3 binary64))))))
(cbrt.f64 (pow.f64 (*.f64 (+.f64 z x) (pow.f64 y #s(literal 3 binary64))) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 (+.f64 z x) #s(literal 3 binary64)) (pow.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 3 binary64)) (pow.f64 (+.f64 z x) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 (+.f64 z x) (pow.f64 y #s(literal 3 binary64)))))
(log1p.f64 (expm1.f64 (*.f64 (+.f64 z x) (pow.f64 y #s(literal 3 binary64)))))
(exp.f64 (log.f64 (*.f64 (+.f64 z x) (pow.f64 y #s(literal 3 binary64)))))
(exp.f64 (*.f64 (log.f64 (*.f64 (+.f64 z x) (pow.f64 y #s(literal 3 binary64)))) #s(literal 1 binary64)))
(fma.f64 x (pow.f64 y #s(literal 3 binary64)) (*.f64 z (pow.f64 y #s(literal 3 binary64))))
(fma.f64 (pow.f64 y #s(literal 3 binary64)) x (*.f64 (pow.f64 y #s(literal 3 binary64)) z))
Outputs
(*.f64 #s(literal -1 binary64) (*.f64 x (*.f64 z (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 y x)) #s(literal 1 binary64)))))
(*.f64 z (*.f64 (fma.f64 #s(literal -1 binary64) (/.f64 y x) #s(literal -1 binary64)) (neg.f64 x)))
(*.f64 x (fma.f64 z (/.f64 y x) z))
(*.f64 #s(literal -1 binary64) (*.f64 x (*.f64 z (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 y x)) #s(literal 1 binary64)))))
(*.f64 z (*.f64 (fma.f64 #s(literal -1 binary64) (/.f64 y x) #s(literal -1 binary64)) (neg.f64 x)))
(*.f64 x (fma.f64 z (/.f64 y x) z))
(*.f64 #s(literal -1 binary64) (*.f64 x (*.f64 z (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 y x)) #s(literal 1 binary64)))))
(*.f64 z (*.f64 (fma.f64 #s(literal -1 binary64) (/.f64 y x) #s(literal -1 binary64)) (neg.f64 x)))
(*.f64 x (fma.f64 z (/.f64 y x) z))
(*.f64 #s(literal -1 binary64) (*.f64 x (*.f64 z (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 y x)) #s(literal 1 binary64)))))
(*.f64 z (*.f64 (fma.f64 #s(literal -1 binary64) (/.f64 y x) #s(literal -1 binary64)) (neg.f64 x)))
(*.f64 x (fma.f64 z (/.f64 y x) z))
(*.f64 #s(literal -1 binary64) (*.f64 x (*.f64 z (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 y x)) #s(literal 1 binary64)))))
(*.f64 z (*.f64 (fma.f64 #s(literal -1 binary64) (/.f64 y x) #s(literal -1 binary64)) (neg.f64 x)))
(*.f64 x (fma.f64 z (/.f64 y x) z))
(*.f64 #s(literal -1 binary64) (*.f64 x (*.f64 z (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 y x)) #s(literal 1 binary64)))))
(*.f64 z (*.f64 (fma.f64 #s(literal -1 binary64) (/.f64 y x) #s(literal -1 binary64)) (neg.f64 x)))
(*.f64 x (fma.f64 z (/.f64 y x) z))
(*.f64 #s(literal -1 binary64) (*.f64 x (*.f64 z (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 y x)) #s(literal 1 binary64)))))
(*.f64 z (*.f64 (fma.f64 #s(literal -1 binary64) (/.f64 y x) #s(literal -1 binary64)) (neg.f64 x)))
(*.f64 x (fma.f64 z (/.f64 y x) z))
(*.f64 #s(literal -1 binary64) (*.f64 x (*.f64 z (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 y x)) #s(literal 1 binary64)))))
(*.f64 z (*.f64 (fma.f64 #s(literal -1 binary64) (/.f64 y x) #s(literal -1 binary64)) (neg.f64 x)))
(*.f64 x (fma.f64 z (/.f64 y x) z))
(*.f64 #s(literal -1 binary64) (*.f64 x (*.f64 z (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 y x)) #s(literal 1 binary64)))))
(*.f64 z (*.f64 (fma.f64 #s(literal -1 binary64) (/.f64 y x) #s(literal -1 binary64)) (neg.f64 x)))
(*.f64 x (fma.f64 z (/.f64 y x) z))
(*.f64 #s(literal -1 binary64) (*.f64 x (*.f64 z (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 y x)) #s(literal 1 binary64)))))
(*.f64 z (*.f64 (fma.f64 #s(literal -1 binary64) (/.f64 y x) #s(literal -1 binary64)) (neg.f64 x)))
(*.f64 x (fma.f64 z (/.f64 y x) z))
(*.f64 #s(literal -1 binary64) (*.f64 x (*.f64 z (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 y x)) #s(literal 1 binary64)))))
(*.f64 z (*.f64 (fma.f64 #s(literal -1 binary64) (/.f64 y x) #s(literal -1 binary64)) (neg.f64 x)))
(*.f64 x (fma.f64 z (/.f64 y x) z))
(*.f64 #s(literal -1 binary64) (*.f64 x (*.f64 z (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 y x)) #s(literal 1 binary64)))))
(*.f64 z (*.f64 (fma.f64 #s(literal -1 binary64) (/.f64 y x) #s(literal -1 binary64)) (neg.f64 x)))
(*.f64 x (fma.f64 z (/.f64 y x) z))
(*.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 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 (+.f64 z (/.f64 (*.f64 x z) y)))
(*.f64 y (+.f64 z (*.f64 x (/.f64 z 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 y (neg.f64 (-.f64 (neg.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 (neg.f64 (-.f64 (neg.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 (neg.f64 (-.f64 (neg.f64 z) (*.f64 x (/.f64 z 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 x (+.f64 z (/.f64 (*.f64 y z) x)))
(*.f64 z (*.f64 (fma.f64 #s(literal -1 binary64) (/.f64 y x) #s(literal -1 binary64)) (neg.f64 x)))
(*.f64 x (fma.f64 z (/.f64 y x) z))
(*.f64 x (+.f64 z (/.f64 (*.f64 y z) x)))
(*.f64 z (*.f64 (fma.f64 #s(literal -1 binary64) (/.f64 y x) #s(literal -1 binary64)) (neg.f64 x)))
(*.f64 x (fma.f64 z (/.f64 y x) z))
(*.f64 x (+.f64 z (/.f64 (*.f64 y z) x)))
(*.f64 z (*.f64 (fma.f64 #s(literal -1 binary64) (/.f64 y x) #s(literal -1 binary64)) (neg.f64 x)))
(*.f64 x (fma.f64 z (/.f64 y x) z))
(*.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 (neg.f64 x) (*.f64 #s(literal -1 binary64) (fma.f64 z (/.f64 y x) z)))
(*.f64 (neg.f64 (fma.f64 z (/.f64 y x) z)) (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) (fma.f64 z (/.f64 y x) z)))
(*.f64 (neg.f64 (fma.f64 z (/.f64 y x) z)) (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) (fma.f64 z (/.f64 y x) z)))
(*.f64 (neg.f64 (fma.f64 z (/.f64 y x) z)) (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))))
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(cbrt.f64 (pow.f64 (*.f64 (+.f64 z x) (pow.f64 y #s(literal 3 binary64))) #s(literal 3 binary64)))
(*.f64 (pow.f64 y #s(literal 3 binary64)) (+.f64 x z))
(cbrt.f64 (*.f64 (pow.f64 (+.f64 z x) #s(literal 3 binary64)) (pow.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 3 binary64))))
(*.f64 (pow.f64 y #s(literal 3 binary64)) (+.f64 x z))
(cbrt.f64 (*.f64 (pow.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 3 binary64)) (pow.f64 (+.f64 z x) #s(literal 3 binary64))))
(*.f64 (pow.f64 y #s(literal 3 binary64)) (+.f64 x z))
(expm1.f64 (log1p.f64 (*.f64 (+.f64 z x) (pow.f64 y #s(literal 3 binary64)))))
(expm1.f64 (log1p.f64 (*.f64 (pow.f64 y #s(literal 3 binary64)) (+.f64 x z))))
(log1p.f64 (expm1.f64 (*.f64 (+.f64 z x) (pow.f64 y #s(literal 3 binary64)))))
(*.f64 (pow.f64 y #s(literal 3 binary64)) (+.f64 x z))
(exp.f64 (log.f64 (*.f64 (+.f64 z x) (pow.f64 y #s(literal 3 binary64)))))
(*.f64 (pow.f64 y #s(literal 3 binary64)) (+.f64 x z))
(exp.f64 (*.f64 (log.f64 (*.f64 (+.f64 z x) (pow.f64 y #s(literal 3 binary64)))) #s(literal 1 binary64)))
(*.f64 (pow.f64 y #s(literal 3 binary64)) (+.f64 x z))
(fma.f64 x (pow.f64 y #s(literal 3 binary64)) (*.f64 z (pow.f64 y #s(literal 3 binary64))))
(*.f64 (pow.f64 y #s(literal 3 binary64)) (+.f64 x z))
(fma.f64 (pow.f64 y #s(literal 3 binary64)) x (*.f64 (pow.f64 y #s(literal 3 binary64)) z))
(*.f64 (pow.f64 y #s(literal 3 binary64)) (+.f64 x z))

eval172.0ms (1.3%)

Compiler

Compiled 35024 to 6153 computations (82.4% saved)

prune195.0ms (1.4%)

Pruning

31 alts after pruning (23 fresh and 8 done)

PrunedKeptTotal
New113581143
Fresh51520
Picked235
Done055
Total1142311173
Accuracy
99.8%
Counts
1173 → 31
Alt Table
Click to see full alt table
StatusAccuracyProgram
31.6%
(+.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 x y))) (*.f64 (sqrt.f64 (/.f64 x y)) z))
27.9%
(*.f64 y (+.f64 (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 y (+.f64 z x))))) (*.f64 (*.f64 x z) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 y #s(literal 3 binary64)) (+.f64 x z)))))))
33.7%
(*.f64 y (+.f64 (*.f64 #s(literal 2 binary64) (*.f64 #s(literal -1 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)))))))
18.9%
(*.f64 y (+.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 (+.f64 x z) y))) (*.f64 (sqrt.f64 (/.f64 x (pow.f64 y #s(literal 3 binary64)))) z)))
23.7%
(*.f64 y (+.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 (+.f64 x z) y))) (log.f64 (pow.f64 (pow.f64 (exp.f64 z) x) (sqrt.f64 (/.f64 (pow.f64 y #s(literal -3 binary64)) (+.f64 z x)))))))
35.0%
(*.f64 #s(literal 2 binary64) (pow.f64 (pow.f64 (*.f64 z y) #s(literal 1/4 binary64)) #s(literal 2 binary64)))
4.1%
(*.f64 #s(literal 2 binary64) (pow.f64 (pow.f64 (*.f64 z x) #s(literal 1/4 binary64)) #s(literal 2 binary64)))
37.8%
(*.f64 #s(literal 2 binary64) (pow.f64 (pow.f64 (*.f64 y x) #s(literal 1/4 binary64)) #s(literal 2 binary64)))
50.2%
(*.f64 #s(literal 2 binary64) (pow.f64 (*.f64 (cbrt.f64 y) (cbrt.f64 x)) #s(literal 3/2 binary64)))
46.5%
(*.f64 #s(literal 2 binary64) (pow.f64 (exp.f64 (*.f64 #s(literal 1/4 binary64) (+.f64 (log.f64 (+.f64 (*.f64 #s(literal -1 binary64) y) (*.f64 #s(literal -1 binary64) z))) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x)))))) #s(literal 2 binary64)))
45.5%
(*.f64 #s(literal 2 binary64) (pow.f64 (exp.f64 (*.f64 #s(literal 1/4 binary64) (+.f64 (log.f64 (*.f64 #s(literal -1 binary64) (+.f64 x z))) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) y)))))) #s(literal 2 binary64)))
37.5%
(*.f64 #s(literal 2 binary64) (pow.f64 (cbrt.f64 (*.f64 x y)) #s(literal 3/2 binary64)))
46.2%
(*.f64 #s(literal 2 binary64) (*.f64 (sqrt.f64 z) (sqrt.f64 y)))
37.5%
(*.f64 #s(literal 2 binary64) (*.f64 (cbrt.f64 (*.f64 x y)) (cbrt.f64 (sqrt.f64 (*.f64 x y)))))
42.8%
(*.f64 #s(literal 2 binary64) (*.f64 z (sqrt.f64 (/.f64 (+.f64 x y) z))))
2.5%
(*.f64 #s(literal 2 binary64) (*.f64 z (neg.f64 (sqrt.f64 (/.f64 x z)))))
71.6%
(*.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (*.f64 x y) (*.f64 z (*.f64 (+.f64 (*.f64 y (/.f64 #s(literal -1 binary64) x)) #s(literal -1 binary64)) (neg.f64 x))))))
39.3%
(*.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (*.f64 x y) (*.f64 z x))))
37.0%
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 z (+.f64 y x))))
25.6%
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 z (+.f64 x (*.f64 x (/.f64 y z))))))
35.0%
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 z y)))
3.8%
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 z x)))
25.4%
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 x (+.f64 (*.f64 z (/.f64 y x)) z))))
61.0%
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 x (+.f64 (*.f64 z (*.f64 y (/.f64 #s(literal 1 binary64) x))) (+.f64 z y)))))
39.4%
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 x (+.f64 z y))))
37.8%
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 x y)))
7.1%
(*.f64 #s(literal 2 binary64) (sqrt.f64 (fabs.f64 (*.f64 x z))))
3.8%
(*.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))))
24.6%
(*.f64 #s(literal 2 binary64) (cbrt.f64 (*.f64 (sqrt.f64 (*.f64 y x)) (*.f64 y x))))
3.8%
(expm1.f64 (log1p.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 z x)))))
Compiler

Compiled 1499 to 699 computations (53.4% saved)

regimes142.0ms (1%)

Counts
68 → 2
Calls
Call 1
Inputs
(*.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)))
(*.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 z (+.f64 y x))))
(*.f64 #s(literal 2 binary64) (*.f64 z (neg.f64 (sqrt.f64 (/.f64 x z)))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (*.f64 x y) (*.f64 z x))))
(*.f64 #s(literal 2 binary64) (*.f64 z (sqrt.f64 (/.f64 (+.f64 x y) z))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 x (+.f64 (*.f64 z (/.f64 y x)) z))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 z (+.f64 x (*.f64 x (/.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 (*.f64 x (+.f64 (*.f64 z (/.f64 y x)) (+.f64 z y)))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 z (+.f64 y (+.f64 (*.f64 x (/.f64 y z)) x)))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (+.f64 (*.f64 x y) (*.f64 x z)) (*.f64 y z))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 x (+.f64 (*.f64 z (*.f64 y (/.f64 #s(literal 1 binary64) x))) (+.f64 z y)))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (*.f64 x y) (*.f64 z (*.f64 (+.f64 (*.f64 y (/.f64 #s(literal -1 binary64) x)) #s(literal -1 binary64)) (neg.f64 x))))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (fabs.f64 (*.f64 x z))))
(*.f64 #s(literal 2 binary64) (*.f64 (sqrt.f64 y) (sqrt.f64 x)))
(*.f64 #s(literal 2 binary64) (*.f64 (sqrt.f64 z) (sqrt.f64 y)))
(*.f64 #s(literal 2 binary64) (cbrt.f64 (pow.f64 (*.f64 x y) #s(literal 3/2 binary64))))
(*.f64 #s(literal 2 binary64) (cbrt.f64 (pow.f64 (*.f64 y x) #s(literal 3/2 binary64))))
(*.f64 #s(literal 2 binary64) (pow.f64 (cbrt.f64 (*.f64 x y)) #s(literal 3/2 binary64)))
(*.f64 #s(literal 2 binary64) (exp.f64 (*.f64 (log.f64 (*.f64 x y)) #s(literal 1/2 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 (fabs.f64 (*.f64 x (+.f64 y z)))))
(*.f64 #s(literal 2 binary64) (pow.f64 (pow.f64 (*.f64 x y) #s(literal 1/4 binary64)) #s(literal 2 binary64)))
(*.f64 #s(literal 2 binary64) (pow.f64 (pow.f64 (*.f64 x z) #s(literal 1/4 binary64)) #s(literal 2 binary64)))
(*.f64 #s(literal 2 binary64) (pow.f64 (pow.f64 (*.f64 y x) #s(literal 1/4 binary64)) #s(literal 2 binary64)))
(*.f64 #s(literal 2 binary64) (pow.f64 (pow.f64 (*.f64 y z) #s(literal 1/4 binary64)) #s(literal 2 binary64)))
(*.f64 #s(literal 2 binary64) (pow.f64 (pow.f64 (*.f64 z x) #s(literal 1/4 binary64)) #s(literal 2 binary64)))
(*.f64 #s(literal 2 binary64) (pow.f64 (pow.f64 (*.f64 z y) #s(literal 1/4 binary64)) #s(literal 2 binary64)))
(*.f64 #s(literal 2 binary64) (cbrt.f64 (*.f64 (sqrt.f64 (*.f64 y x)) (*.f64 y x))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (fma.f64 x z (*.f64 y (+.f64 x z)))))
(+.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 x y))) (*.f64 (sqrt.f64 (/.f64 x y)) z))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (*.f64 x y) (*.f64 z (*.f64 (fma.f64 y (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) (neg.f64 x))))))
(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)))
(pow.f64 (cbrt.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 x y)))) #s(literal 3 binary64))
(*.f64 #s(literal 2 binary64) (*.f64 (cbrt.f64 (*.f64 x y)) (cbrt.f64 (sqrt.f64 (*.f64 x y)))))
(*.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) (cbrt.f64 (pow.f64 (fma.f64 z (+.f64 y x) (*.f64 x y)) #s(literal 3/2 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 (pow.f64 (cbrt.f64 (*.f64 x y)) #s(literal 3 binary64)) (*.f64 z (+.f64 y x)))))
(*.f64 z (+.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 x z))) (*.f64 (sqrt.f64 (/.f64 x (pow.f64 z #s(literal 3 binary64)))) y)))
(fma.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 z y)) (*.f64 x (*.f64 (+.f64 z y) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 z y))))))
(*.f64 y (+.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 (+.f64 x z) y))) (*.f64 (sqrt.f64 (/.f64 x (pow.f64 y #s(literal 3 binary64)))) z)))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (*.f64 x y) (/.f64 (*.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) z) (-.f64 y x)))))
(*.f64 #s(literal 2 binary64) (*.f64 z (+.f64 (sqrt.f64 (/.f64 (+.f64 x y) z)) (*.f64 (*.f64 x (sqrt.f64 (/.f64 y (pow.f64 z #s(literal 3 binary64))))) #s(literal 1/2 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 y (+.f64 (sqrt.f64 (/.f64 (+.f64 x z) y)) (*.f64 (*.f64 x (*.f64 z (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 y #s(literal 3 binary64)) (+.f64 x z)))))) #s(literal 1/2 binary64)))))
(*.f64 #s(literal 2 binary64) (*.f64 z (+.f64 (sqrt.f64 (/.f64 (+.f64 x y) z)) (*.f64 (*.f64 x (*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 x y) (pow.f64 z #s(literal 3 binary64))))))) #s(literal 1/2 binary64)))))
(*.f64 #s(literal 2 binary64) (*.f64 z (+.f64 (sqrt.f64 (/.f64 (+.f64 x y) z)) (*.f64 (*.f64 x (*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (pow.f64 z #s(literal 3 binary64)))) (*.f64 y #s(literal -1 binary64)))) #s(literal 1/2 binary64)))))
(*.f64 y (+.f64 (*.f64 #s(literal 2 binary64) (*.f64 #s(literal -1 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 2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 y (+.f64 z x))))) (*.f64 (*.f64 x z) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 y #s(literal 3 binary64)) (+.f64 x z)))))))
(*.f64 #s(literal 2 binary64) (*.f64 z (+.f64 (*.f64 (sqrt.f64 (/.f64 (+.f64 y x) z)) #s(literal -1 binary64)) (*.f64 (*.f64 x (*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 x y) (pow.f64 z #s(literal 3 binary64))))))) #s(literal 1/2 binary64)))))
(*.f64 #s(literal 2 binary64) (*.f64 z (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 z (+.f64 y x)))) (*.f64 (*.f64 x (*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 x y) (pow.f64 z #s(literal 3 binary64))))))) #s(literal 1/2 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))
(*.f64 #s(literal 2 binary64) (pow.f64 (exp.f64 (*.f64 #s(literal 1/4 binary64) (+.f64 (log.f64 (+.f64 x y)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) z)))))) #s(literal 2 binary64)))
(*.f64 #s(literal 2 binary64) (pow.f64 (exp.f64 (*.f64 #s(literal 1/4 binary64) (+.f64 (log.f64 (*.f64 #s(literal -1 binary64) (+.f64 x z))) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) y)))))) #s(literal 2 binary64)))
(*.f64 #s(literal 2 binary64) (pow.f64 (exp.f64 (*.f64 #s(literal 1/4 binary64) (+.f64 (log.f64 (+.f64 (*.f64 #s(literal -1 binary64) y) (*.f64 #s(literal -1 binary64) z))) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x)))))) #s(literal 2 binary64)))
(*.f64 y (fma.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 (+.f64 z x) y)) (*.f64 x (*.f64 z (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))) (+.f64 z x)))))))
(*.f64 (neg.f64 z) (fma.f64 #s(literal 2 binary64) (*.f64 #s(literal -1 binary64) (sqrt.f64 (/.f64 (+.f64 x y) z))) (*.f64 x (*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 x y) (pow.f64 z #s(literal 3 binary64)))))))))
(*.f64 #s(literal 2 binary64) (*.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 #s(literal 2 binary64) (*.f64 z (+.f64 (sqrt.f64 (/.f64 (+.f64 x y) z)) (*.f64 (*.f64 x (log.f64 (pow.f64 (exp.f64 y) (pow.f64 (*.f64 (+.f64 x y) (pow.f64 z #s(literal 3 binary64))) #s(literal -1/2 binary64))))) #s(literal 1/2 binary64)))))
(*.f64 #s(literal 2 binary64) (pow.f64 (cbrt.f64 (*.f64 z (fma.f64 (*.f64 (*.f64 x y) (pow.f64 (*.f64 (+.f64 x y) (pow.f64 z #s(literal 3 binary64))) #s(literal -1/2 binary64))) #s(literal 1/2 binary64) (sqrt.f64 (/.f64 (+.f64 x y) z))))) #s(literal 3 binary64)))
(*.f64 y (+.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 (+.f64 x z) y))) (log.f64 (pow.f64 (pow.f64 (exp.f64 z) x) (sqrt.f64 (/.f64 (pow.f64 y #s(literal -3 binary64)) (+.f64 z x)))))))
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 z) (sqrt.f64 y)))
Calls

6 calls:

39.0ms
(*.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (+.f64 (*.f64 x y) (*.f64 x z)) (*.f64 y z))))
22.0ms
y
19.0ms
x
19.0ms
z
18.0ms
(+.f64 (+.f64 (*.f64 x y) (*.f64 x z)) (*.f64 y z))
Results
AccuracySegmentsBranch
92.1%3x
95.2%2y
93.1%3z
87.0%3(*.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (+.f64 (*.f64 x y) (*.f64 x z)) (*.f64 y z))))
87.0%3(sqrt.f64 (+.f64 (+.f64 (*.f64 x y) (*.f64 x z)) (*.f64 y z)))
87.0%3(+.f64 (+.f64 (*.f64 x y) (*.f64 x z)) (*.f64 y z))
Compiler

Compiled 58 to 37 computations (36.2% saved)

regimes72.0ms (0.5%)

Counts
37 → 2
Calls
Call 1
Inputs
(*.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)))
(*.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 z (+.f64 y x))))
(*.f64 #s(literal 2 binary64) (*.f64 z (neg.f64 (sqrt.f64 (/.f64 x z)))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (*.f64 x y) (*.f64 z x))))
(*.f64 #s(literal 2 binary64) (*.f64 z (sqrt.f64 (/.f64 (+.f64 x y) z))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 x (+.f64 (*.f64 z (/.f64 y x)) z))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 z (+.f64 x (*.f64 x (/.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 (*.f64 x (+.f64 (*.f64 z (/.f64 y x)) (+.f64 z y)))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 z (+.f64 y (+.f64 (*.f64 x (/.f64 y z)) x)))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (+.f64 (*.f64 x y) (*.f64 x z)) (*.f64 y z))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 x (+.f64 (*.f64 z (*.f64 y (/.f64 #s(literal 1 binary64) x))) (+.f64 z y)))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (*.f64 x y) (*.f64 z (*.f64 (+.f64 (*.f64 y (/.f64 #s(literal -1 binary64) x)) #s(literal -1 binary64)) (neg.f64 x))))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (fabs.f64 (*.f64 x z))))
(*.f64 #s(literal 2 binary64) (*.f64 (sqrt.f64 y) (sqrt.f64 x)))
(*.f64 #s(literal 2 binary64) (*.f64 (sqrt.f64 z) (sqrt.f64 y)))
(*.f64 #s(literal 2 binary64) (cbrt.f64 (pow.f64 (*.f64 x y) #s(literal 3/2 binary64))))
(*.f64 #s(literal 2 binary64) (cbrt.f64 (pow.f64 (*.f64 y x) #s(literal 3/2 binary64))))
(*.f64 #s(literal 2 binary64) (pow.f64 (cbrt.f64 (*.f64 x y)) #s(literal 3/2 binary64)))
(*.f64 #s(literal 2 binary64) (exp.f64 (*.f64 (log.f64 (*.f64 x y)) #s(literal 1/2 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 (fabs.f64 (*.f64 x (+.f64 y z)))))
(*.f64 #s(literal 2 binary64) (pow.f64 (pow.f64 (*.f64 x y) #s(literal 1/4 binary64)) #s(literal 2 binary64)))
(*.f64 #s(literal 2 binary64) (pow.f64 (pow.f64 (*.f64 x z) #s(literal 1/4 binary64)) #s(literal 2 binary64)))
(*.f64 #s(literal 2 binary64) (pow.f64 (pow.f64 (*.f64 y x) #s(literal 1/4 binary64)) #s(literal 2 binary64)))
(*.f64 #s(literal 2 binary64) (pow.f64 (pow.f64 (*.f64 y z) #s(literal 1/4 binary64)) #s(literal 2 binary64)))
(*.f64 #s(literal 2 binary64) (pow.f64 (pow.f64 (*.f64 z x) #s(literal 1/4 binary64)) #s(literal 2 binary64)))
(*.f64 #s(literal 2 binary64) (pow.f64 (pow.f64 (*.f64 z y) #s(literal 1/4 binary64)) #s(literal 2 binary64)))
(*.f64 #s(literal 2 binary64) (cbrt.f64 (*.f64 (sqrt.f64 (*.f64 y x)) (*.f64 y x))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (fma.f64 x z (*.f64 y (+.f64 x z)))))
(+.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 x y))) (*.f64 (sqrt.f64 (/.f64 x y)) z))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (*.f64 x y) (*.f64 z (*.f64 (fma.f64 y (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) (neg.f64 x))))))
(expm1.f64 (log1p.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 z x)))))
Outputs
(*.f64 #s(literal 2 binary64) (sqrt.f64 (fma.f64 x z (*.f64 y (+.f64 x z)))))
(*.f64 #s(literal 2 binary64) (*.f64 z (sqrt.f64 (/.f64 (+.f64 x y) z))))
Calls

6 calls:

12.0ms
x
12.0ms
z
12.0ms
y
11.0ms
(*.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (+.f64 (*.f64 x y) (*.f64 x z)) (*.f64 y z))))
11.0ms
(sqrt.f64 (+.f64 (+.f64 (*.f64 x y) (*.f64 x z)) (*.f64 y z)))
Results
AccuracySegmentsBranch
85.4%3(*.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (+.f64 (*.f64 x y) (*.f64 x z)) (*.f64 y z))))
85.4%3(sqrt.f64 (+.f64 (+.f64 (*.f64 x y) (*.f64 x z)) (*.f64 y z)))
85.4%3(+.f64 (+.f64 (*.f64 x y) (*.f64 x z)) (*.f64 y z))
79.8%2x
83.1%2z
84.0%2y
Compiler

Compiled 58 to 37 computations (36.2% saved)

regimes13.0ms (0.1%)

Counts
33 → 2
Calls
Call 1
Inputs
(*.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)))
(*.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 z (+.f64 y x))))
(*.f64 #s(literal 2 binary64) (*.f64 z (neg.f64 (sqrt.f64 (/.f64 x z)))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (*.f64 x y) (*.f64 z x))))
(*.f64 #s(literal 2 binary64) (*.f64 z (sqrt.f64 (/.f64 (+.f64 x y) z))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 x (+.f64 (*.f64 z (/.f64 y x)) z))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 z (+.f64 x (*.f64 x (/.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 (*.f64 x (+.f64 (*.f64 z (/.f64 y x)) (+.f64 z y)))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 z (+.f64 y (+.f64 (*.f64 x (/.f64 y z)) x)))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (+.f64 (*.f64 x y) (*.f64 x z)) (*.f64 y z))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 x (+.f64 (*.f64 z (*.f64 y (/.f64 #s(literal 1 binary64) x))) (+.f64 z y)))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (*.f64 x y) (*.f64 z (*.f64 (+.f64 (*.f64 y (/.f64 #s(literal -1 binary64) x)) #s(literal -1 binary64)) (neg.f64 x))))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (fabs.f64 (*.f64 x z))))
(*.f64 #s(literal 2 binary64) (*.f64 (sqrt.f64 y) (sqrt.f64 x)))
(*.f64 #s(literal 2 binary64) (*.f64 (sqrt.f64 z) (sqrt.f64 y)))
(*.f64 #s(literal 2 binary64) (cbrt.f64 (pow.f64 (*.f64 x y) #s(literal 3/2 binary64))))
(*.f64 #s(literal 2 binary64) (cbrt.f64 (pow.f64 (*.f64 y x) #s(literal 3/2 binary64))))
(*.f64 #s(literal 2 binary64) (pow.f64 (cbrt.f64 (*.f64 x y)) #s(literal 3/2 binary64)))
(*.f64 #s(literal 2 binary64) (exp.f64 (*.f64 (log.f64 (*.f64 x y)) #s(literal 1/2 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 (fabs.f64 (*.f64 x (+.f64 y z)))))
(*.f64 #s(literal 2 binary64) (pow.f64 (pow.f64 (*.f64 x y) #s(literal 1/4 binary64)) #s(literal 2 binary64)))
(*.f64 #s(literal 2 binary64) (pow.f64 (pow.f64 (*.f64 x z) #s(literal 1/4 binary64)) #s(literal 2 binary64)))
(*.f64 #s(literal 2 binary64) (pow.f64 (pow.f64 (*.f64 y x) #s(literal 1/4 binary64)) #s(literal 2 binary64)))
(*.f64 #s(literal 2 binary64) (pow.f64 (pow.f64 (*.f64 y z) #s(literal 1/4 binary64)) #s(literal 2 binary64)))
(*.f64 #s(literal 2 binary64) (pow.f64 (pow.f64 (*.f64 z x) #s(literal 1/4 binary64)) #s(literal 2 binary64)))
(*.f64 #s(literal 2 binary64) (pow.f64 (pow.f64 (*.f64 z y) #s(literal 1/4 binary64)) #s(literal 2 binary64)))
(*.f64 #s(literal 2 binary64) (cbrt.f64 (*.f64 (sqrt.f64 (*.f64 y x)) (*.f64 y x))))
Outputs
(*.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (*.f64 x y) (*.f64 z (+.f64 y x)))))
(*.f64 #s(literal 2 binary64) (*.f64 z (sqrt.f64 (/.f64 (+.f64 x y) z))))
Calls

1 calls:

11.0ms
y
Results
AccuracySegmentsBranch
83.9%2y
Compiler

Compiled 4 to 3 computations (25% saved)

regimes9.0ms (0.1%)

Counts
11 → 3
Calls
Call 1
Inputs
(*.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)))
(*.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 z (+.f64 y x))))
(*.f64 #s(literal 2 binary64) (*.f64 z (neg.f64 (sqrt.f64 (/.f64 x z)))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (*.f64 x y) (*.f64 z x))))
(*.f64 #s(literal 2 binary64) (*.f64 z (sqrt.f64 (/.f64 (+.f64 x y) z))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 x (+.f64 (*.f64 z (/.f64 y x)) z))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 z (+.f64 x (*.f64 x (/.f64 y z))))))
Outputs
(*.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) (*.f64 z (sqrt.f64 (/.f64 (+.f64 x y) z))))
Calls

2 calls:

4.0ms
y
4.0ms
z
Results
AccuracySegmentsBranch
73.2%2z
84.0%3y
Compiler

Compiled 8 to 6 computations (25% saved)

regimes12.0ms (0.1%)

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

3 calls:

5.0ms
y
3.0ms
x
3.0ms
z
Results
AccuracySegmentsBranch
68.1%2z
69.8%2x
72.7%2y
Compiler

Compiled 12 to 9 computations (25% saved)

regimes3.0ms (0%)

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

1 calls:

2.0ms
y
Results
AccuracySegmentsBranch
71.0%2y
Compiler

Compiled 4 to 3 computations (25% saved)

regimes3.0ms (0%)

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

1 calls:

3.0ms
y
Results
AccuracySegmentsBranch
69.9%2y
Compiler

Compiled 4 to 3 computations (25% saved)

regimes5.0ms (0%)

Accuracy

Total -22.3b remaining (-56%)

Threshold costs -22.3b (-56%)

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

3 calls:

2.0ms
y
1.0ms
z
1.0ms
x
Results
AccuracySegmentsBranch
37.8%1z
37.8%1x
37.8%1y
Compiler

Compiled 12 to 9 computations (25% saved)

bsearch49.0ms (0.4%)

Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
45.0ms
-2.554434562197346e-267
8.334897919737879e-292
Results
18.0ms192×0valid
12.0ms162×0invalid
Compiler

Compiled 311 to 256 computations (17.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 17.0ms
ival-mult: 10.0ms (59.1% of total)
ival-add: 3.0ms (17.7% of total)
ival-sqrt: 3.0ms (17.7% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

bsearch36.0ms (0.3%)

Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
32.0ms
9.538848482352339e+21
5.722420349990472e+25
Results
12.0ms128×0valid
12.0ms142×0invalid
Compiler

Compiled 255 to 176 computations (31% saved)

Precisions
Click to see histograms. Total time spent on operations: 16.0ms
ival-mult: 9.0ms (57.5% of total)
ival-sqrt: 4.0ms (25.6% of total)
ival-add: 2.0ms (12.8% of total)
const: 1.0ms (6.4% of total)
backward-pass: 0.0ms (0% of total)

bsearch32.0ms (0.2%)

Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
29.0ms
9.538848482352339e+21
5.722420349990472e+25
Results
11.0ms134×0invalid
11.0ms128×0valid
Compiler

Compiled 263 to 184 computations (30% saved)

Precisions
Click to see histograms. Total time spent on operations: 12.0ms
ival-mult: 8.0ms (64.8% of total)
ival-add: 2.0ms (16.2% of total)
ival-sqrt: 2.0ms (16.2% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

bsearch51.0ms (0.4%)

Algorithm
binary-search
Stop Event
narrow-enough
predicate-same
Steps
TimeLeftRight
27.0ms
9.538848482352339e+21
5.722420349990472e+25
20.0ms
-2.554434562197346e-267
8.334897919737879e-292
Results
18.0ms224×0valid
16.0ms196×0invalid
Compiler

Compiled 375 to 276 computations (26.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 22.0ms
ival-mult: 14.0ms (64.2% of total)
ival-add: 4.0ms (18.4% of total)
ival-sqrt: 3.0ms (13.8% of total)
const: 1.0ms (4.6% of total)
backward-pass: 0.0ms (0% of total)

bsearch4.0ms (0%)

Algorithm
binary-search
Stop Event
predicate-same
Steps
TimeLeftRight
4.0ms
-2.554434562197346e-267
8.334897919737879e-292
Results
1.0ms16×0valid
1.0ms17×0invalid
Compiler

Compiled 47 to 34 computations (27.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 2.0ms
ival-mult: 1.0ms (63.1% of total)
ival-add: 0.0ms (0% of total)
const: 0.0ms (0% of total)
ival-sqrt: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

bsearch47.0ms (0.3%)

Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
43.0ms
-2.554434562197346e-267
8.334897919737879e-292
Results
18.0ms192×0valid
14.0ms181×0invalid
Compiler

Compiled 287 to 220 computations (23.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 21.0ms
ival-mult: 13.0ms (62.6% of total)
ival-add: 4.0ms (19.3% of total)
ival-sqrt: 4.0ms (19.3% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

bsearch47.0ms (0.3%)

Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
41.0ms
-2.554434562197346e-267
8.334897919737879e-292
Results
15.0ms192×0valid
15.0ms175×0invalid
Compiler

Compiled 263 to 208 computations (20.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 18.0ms
ival-mult: 12.0ms (65.3% of total)
ival-add: 3.0ms (16.3% of total)
ival-sqrt: 3.0ms (16.3% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

simplify7.0ms (0.1%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
075627
196627
Stop Event
saturated
Calls
Call 1
Inputs
(if (<=.f64 y #s(literal -101201126653655/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 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 z) (sqrt.f64 y))))
(if (<=.f64 y #s(literal 30000000000000000000000 binary64)) (*.f64 #s(literal 2 binary64) (sqrt.f64 (fma.f64 x z (*.f64 y (+.f64 x z))))) (*.f64 #s(literal 2 binary64) (*.f64 z (sqrt.f64 (/.f64 (+.f64 x y) z)))))
(if (<=.f64 y #s(literal 9600000000000000000000 binary64)) (*.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (*.f64 x y) (*.f64 z (+.f64 y x))))) (*.f64 #s(literal 2 binary64) (*.f64 z (sqrt.f64 (/.f64 (+.f64 x y) z)))))
(if (<=.f64 y #s(literal -4825645764048353/96512915280967053581473992690523770832804036027976092508745841039385957511899636693935577250212251899331606800230413394637016647999665010865694713564271216355093681467326336557610944624945266886348613585697529348641399137222620343503047635864810732050328281646899590278784472758879901186078227762530329829839567060992 binary64)) (*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 x (+.f64 z y)))) (if (<=.f64 y #s(literal 10499999999999998951424 binary64)) (*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 z (+.f64 x y)))) (*.f64 #s(literal 2 binary64) (*.f64 z (sqrt.f64 (/.f64 (+.f64 x y) z))))))
(if (<=.f64 y #s(literal -290432989937067/145216494968533502226373290834951226575318379068300240142165220636322329800820739604020343212515268612285031620136032524458455590385244698026448298935780725174118246137447253314715469710380638366234296463120257539655053584656042977359091693393423640919145029829506241486695834845184 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)))))
(if (<=.f64 y #s(literal 2247116418577895/2808895523222368605827039360607851146278089029597354019897345018089573059460952548948569958162617750330001779372990521213418590137725259726450741103741783193402623334763523207442222181269470220616454421126328215138096104411600982523029892352200425580677351729446660909999175717788745567263052442650378502144 binary64)) (*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 x (+.f64 z y)))) (*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 z y))))
(if (<=.f64 y #s(literal -101201126653655/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) (*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 x y))) (*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 z y))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 x y)))
Outputs
(if (<=.f64 y #s(literal -101201126653655/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 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 z) (sqrt.f64 y))))
(if (<=.f64 y #s(literal 30000000000000000000000 binary64)) (*.f64 #s(literal 2 binary64) (sqrt.f64 (fma.f64 x z (*.f64 y (+.f64 x z))))) (*.f64 #s(literal 2 binary64) (*.f64 z (sqrt.f64 (/.f64 (+.f64 x y) z)))))
(if (<=.f64 y #s(literal 30000000000000000000000 binary64)) (*.f64 #s(literal 2 binary64) (sqrt.f64 (fma.f64 x z (*.f64 y (+.f64 x z))))) (*.f64 #s(literal 2 binary64) (*.f64 z (sqrt.f64 (/.f64 (+.f64 y x) z)))))
(if (<=.f64 y #s(literal 9600000000000000000000 binary64)) (*.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (*.f64 x y) (*.f64 z (+.f64 y x))))) (*.f64 #s(literal 2 binary64) (*.f64 z (sqrt.f64 (/.f64 (+.f64 x y) z)))))
(if (<=.f64 y #s(literal 9600000000000000000000 binary64)) (*.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (*.f64 y x) (*.f64 z (+.f64 y x))))) (*.f64 #s(literal 2 binary64) (*.f64 z (sqrt.f64 (/.f64 (+.f64 y x) z)))))
(if (<=.f64 y #s(literal -4825645764048353/96512915280967053581473992690523770832804036027976092508745841039385957511899636693935577250212251899331606800230413394637016647999665010865694713564271216355093681467326336557610944624945266886348613585697529348641399137222620343503047635864810732050328281646899590278784472758879901186078227762530329829839567060992 binary64)) (*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 x (+.f64 z y)))) (if (<=.f64 y #s(literal 10499999999999998951424 binary64)) (*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 z (+.f64 x y)))) (*.f64 #s(literal 2 binary64) (*.f64 z (sqrt.f64 (/.f64 (+.f64 x y) z))))))
(if (<=.f64 y #s(literal -4825645764048353/96512915280967053581473992690523770832804036027976092508745841039385957511899636693935577250212251899331606800230413394637016647999665010865694713564271216355093681467326336557610944624945266886348613585697529348641399137222620343503047635864810732050328281646899590278784472758879901186078227762530329829839567060992 binary64)) (*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 x (+.f64 y z)))) (if (<=.f64 y #s(literal 10499999999999998951424 binary64)) (*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 z (+.f64 y x)))) (*.f64 #s(literal 2 binary64) (*.f64 z (sqrt.f64 (/.f64 (+.f64 y x) z))))))
(if (<=.f64 y #s(literal -290432989937067/145216494968533502226373290834951226575318379068300240142165220636322329800820739604020343212515268612285031620136032524458455590385244698026448298935780725174118246137447253314715469710380638366234296463120257539655053584656042977359091693393423640919145029829506241486695834845184 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)))))
(if (<=.f64 y #s(literal -290432989937067/145216494968533502226373290834951226575318379068300240142165220636322329800820739604020343212515268612285031620136032524458455590385244698026448298935780725174118246137447253314715469710380638366234296463120257539655053584656042977359091693393423640919145029829506241486695834845184 binary64)) (*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 x (+.f64 y z)))) (*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 z (+.f64 y x)))))
(if (<=.f64 y #s(literal 2247116418577895/2808895523222368605827039360607851146278089029597354019897345018089573059460952548948569958162617750330001779372990521213418590137725259726450741103741783193402623334763523207442222181269470220616454421126328215138096104411600982523029892352200425580677351729446660909999175717788745567263052442650378502144 binary64)) (*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 x (+.f64 z y)))) (*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 z y))))
(if (<=.f64 y #s(literal 2247116418577895/2808895523222368605827039360607851146278089029597354019897345018089573059460952548948569958162617750330001779372990521213418590137725259726450741103741783193402623334763523207442222181269470220616454421126328215138096104411600982523029892352200425580677351729446660909999175717788745567263052442650378502144 binary64)) (*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 x (+.f64 y z)))) (*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 y z))))
(if (<=.f64 y #s(literal -101201126653655/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) (*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 x y))) (*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 z y))))
(if (<=.f64 y #s(literal -101201126653655/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) (*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 y x))) (*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 y z))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 x y)))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 y x)))

soundness1.9s (13.8%)

Rules
967×distribute-lft-in
843×fma-neg
694×fma-define
674×*-commutative
617×distribute-rgt-in
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
057590
1156534
2328530
3624530
41291530
51969530
62919530
73283530
83342530
93348530
103348530
048706
1851690
0172251964
1513049504
048741
1820705
0253375956
1674473784
098039313
1297138527
2739938527
Stop Event
fuel
node limit
node limit
node limit
node limit
node limit
saturated
Compiler

Compiled 1069 to 377 computations (64.7% saved)

preprocess82.0ms (0.6%)

Compiler

Compiled 598 to 270 computations (54.8% saved)

end0.0ms (0%)

Profiling

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