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

Time bar (total: 15.0s)

analyze363.0ms (2.4%)

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: 160.0ms
ival-add: 71.0ms (44.4% of total)
ival-mult: 64.0ms (40% of total)
ival-sqrt: 21.0ms (13.1% of total)
const: 3.0ms (1.9% of total)
backward-pass: 1.0ms (0.6% of total)

sample2.6s (17.1%)

Results
1.4s8256×0valid
650.0ms4559×0invalid
Precisions
Click to see histograms. Total time spent on operations: 1.3s
ival-mult: 960.0ms (74.2% of total)
ival-add: 209.0ms (16.1% of total)
ival-sqrt: 105.0ms (8.1% of total)
const: 16.0ms (1.2% of total)
backward-pass: 3.0ms (0.2% of total)
Bogosity

preprocess162.0ms (1.1%)

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

Useful iterations: 2 (0.0ms)

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

explain170.0ms (1.1%)

FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
820-1(-1.4920619670621846e-238 1.988241149259708e-222 1.9092510513339933e-91)(sqrt.f64 (+.f64 (+.f64 (*.f64 x y) (*.f64 x z)) (*.f64 y z)))
70-0-(+.f64 (+.f64 (*.f64 x y) (*.f64 x z)) (*.f64 y z))
40-0-(+.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-rescue770
(+.f64 (+.f64 (*.f64 x y) (*.f64 x z)) (*.f64 y z))overflow77
(*.f64 y z)overflow40
(+.f64 (*.f64 x y) (*.f64 x z))overflow52
(*.f64 x z)overflow18
(*.f64 x y)overflow48
+.f64(+.f64 (+.f64 (*.f64 x y) (*.f64 x z)) (*.f64 y z))nan-rescue70
(+.f64 (*.f64 x y) (*.f64 x z))overflow52
(*.f64 x z)overflow18
(*.f64 x y)overflow48
(*.f64 y z)overflow40
sqrt.f64(sqrt.f64 (+.f64 (+.f64 (*.f64 x y) (*.f64 x z)) (*.f64 y z)))uflow-rescue40
(+.f64 (+.f64 (*.f64 x y) (*.f64 x z)) (*.f64 y z))underflow4
(*.f64 y z)underflow35
(+.f64 (*.f64 x y) (*.f64 x z))underflow6
(*.f64 x z)underflow7
(*.f64 x y)underflow28
+.f64(+.f64 (*.f64 x y) (*.f64 x z))nan-rescue40
(*.f64 x y)overflow48
(*.f64 x z)overflow18
Confusion
Predicted +Predicted -
+811
-0174
Precision
1.0
Recall
0.9878048780487805
Confusion?
Predicted +Predicted MaybePredicted -
+8101
-00174
Precision?
1.0
Recall?
0.9878048780487805
Freqs
test
numberfreq
0175
173
25
33
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Results
61.0ms512×0valid
Compiler

Compiled 156 to 46 computations (70.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 28.0ms
ival-mult: 18.0ms (63.6% of total)
ival-add: 5.0ms (17.7% of total)
ival-sqrt: 4.0ms (14.1% of total)
const: 1.0ms (3.5% of total)
backward-pass: 0.0ms (0% of total)

eval2.0ms (0%)

Compiler

Compiled 37 to 20 computations (45.9% saved)

prune1.0ms (0%)

Alt Table
Click to see full alt table
StatusAccuracyProgram
70.0%
(*.f64 #s(literal 2 binary64) (sqrt.f64 (fma.f64 x z (*.f64 y (+.f64 x z)))))
69.8%
(*.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)

localize70.0ms (0.5%)

Localize:

Found 8 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(*.f64 y (+.f64 x z))
accuracy100.0%
(*.f64 #s(literal 2 binary64) (sqrt.f64 (fma.f64 x z (*.f64 y (+.f64 x z)))))
accuracy100.0%
(fma.f64 x z (*.f64 y (+.f64 x z)))
accuracy70.0%
(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))
accuracy97.8%
(+.f64 (*.f64 x y) (*.f64 z (+.f64 y x)))
accuracy70.0%
(sqrt.f64 (+.f64 (*.f64 x y) (*.f64 z (+.f64 y x))))
Results
44.0ms256×0valid
Compiler

Compiled 90 to 16 computations (82.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 22.0ms
ival-mult: 10.0ms (45.1% of total)
ival-add: 5.0ms (22.5% of total)
ival-sqrt: 4.0ms (18% of total)
ival-fma: 3.0ms (13.5% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

series70.0ms (0.5%)

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

rewrite313.0ms (2.1%)

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)))

simplify446.0ms (3%)

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)
(+.f64 x y)
(+.f64 x y)
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))

eval80.0ms (0.5%)

Compiler

Compiled 16591 to 2759 computations (83.4% saved)

prune145.0ms (1%)

Pruning

25 alts after pruning (25 fresh and 0 done)

PrunedKeptTotal
New54125566
Fresh000
Picked202
Done000
Total54325568
Accuracy
82.7%
Counts
568 → 25
Alt Table
Click to see full alt table
StatusAccuracyProgram
32.9%
(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))))))
68.8%
(pow.f64 (cbrt.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (fma.f64 x z (*.f64 y (+.f64 x z)))))) #s(literal 3 binary64))
37.0%
(*.f64 z (+.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 (+.f64 x y) z))) (*.f64 (*.f64 x y) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 z #s(literal 3 binary64)) (+.f64 x y)))))))
34.9%
(*.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)))))))
32.1%
(*.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)))))))
69.6%
(*.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)))
68.8%
(*.f64 #s(literal 2 binary64) (pow.f64 (cbrt.f64 (sqrt.f64 (fma.f64 x z (*.f64 y (+.f64 x z))))) #s(literal 3 binary64)))
19.2%
(*.f64 #s(literal 2 binary64) (/.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))))))
39.0%
(*.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)))))
56.1%
(*.f64 #s(literal 2 binary64) (sqrt.f64 (fma.f64 x z (*.f64 z (+.f64 y (*.f64 x (/.f64 y z)))))))
32.1%
(*.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (*.f64 x y) (*.f64 z (pow.f64 (sqrt.f64 (+.f64 x y)) #s(literal 2 binary64))))))
68.3%
(*.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (*.f64 x y) (*.f64 z (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 y x)))))))
37.0%
(*.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (*.f64 x y) (*.f64 z (cbrt.f64 (pow.f64 (+.f64 x y) #s(literal 3 binary64)))))))
39.0%
(*.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (*.f64 x y) (*.f64 z x))))
45.4%
(*.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (*.f64 x y) (cbrt.f64 (pow.f64 (*.f64 z (+.f64 x y)) #s(literal 3 binary64))))))
56.0%
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 z (+.f64 x (+.f64 y (/.f64 (*.f64 x y) z))))))
34.0%
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 z (+.f64 x y))))
32.7%
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 z y)))
3.1%
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 z x)))
57.3%
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 x (+.f64 (*.f64 z (/.f64 y x)) (+.f64 z y)))))
39.1%
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 x (+.f64 z y))))
51.3%
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 x (+.f64 y (+.f64 z (*.f64 y (/.f64 z x)))))))
37.9%
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 x y)))
65.2%
(*.f64 #s(literal 2 binary64) (exp.f64 (*.f64 (log.f64 (fma.f64 x z (*.f64 y (+.f64 x z)))) #s(literal 1/2 binary64))))
51.5%
(*.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 904 to 600 computations (33.6% saved)

simplify182.0ms (1.2%)

Algorithm
egg-herbie
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
cost-diff0
(+.f64 x y)
cost-diff0
(/.f64 (+.f64 x y) z)
cost-diff0
(sqrt.f64 (/.f64 (+.f64 x y) z))
cost-diff0
(*.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 (+.f64 x y) z)))
cost-diff0
(log.f64 (fma.f64 x z (*.f64 y (+.f64 x z))))
cost-diff0
(*.f64 (log.f64 (fma.f64 x z (*.f64 y (+.f64 x z)))) #s(literal 1/2 binary64))
cost-diff6528
(exp.f64 (*.f64 (log.f64 (fma.f64 x z (*.f64 y (+.f64 x z)))) #s(literal 1/2 binary64)))
cost-diff6528
(*.f64 #s(literal 2 binary64) (exp.f64 (*.f64 (log.f64 (fma.f64 x z (*.f64 y (+.f64 x z)))) #s(literal 1/2 binary64))))
cost-diff-6144
(sqrt.f64 (*.f64 x (+.f64 y (+.f64 z (*.f64 y (/.f64 z x))))))
cost-diff-6144
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 x (+.f64 y (+.f64 z (*.f64 y (/.f64 z x)))))))
cost-diff0
(/.f64 z x)
cost-diff0
(*.f64 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
1150×associate-/r/
978×fma-define
728×times-frac
538×*-commutative
470×associate-*r/
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
0471295
11091239
22301239
34051236
45121236
55751236
66341236
713501236
848021236
957331236
1061501236
1161921236
1262221236
1362261236
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 x (+.f64 y (+.f64 z (*.f64 y (/.f64 z x)))))))
#s(literal 2 binary64)
(sqrt.f64 (*.f64 x (+.f64 y (+.f64 z (*.f64 y (/.f64 z x))))))
(*.f64 x (+.f64 y (+.f64 z (*.f64 y (/.f64 z x)))))
x
(+.f64 y (+.f64 z (*.f64 y (/.f64 z x))))
y
(+.f64 z (*.f64 y (/.f64 z x)))
z
(*.f64 y (/.f64 z x))
(/.f64 z x)
(*.f64 #s(literal 2 binary64) (exp.f64 (*.f64 (log.f64 (fma.f64 x z (*.f64 y (+.f64 x z)))) #s(literal 1/2 binary64))))
#s(literal 2 binary64)
(exp.f64 (*.f64 (log.f64 (fma.f64 x z (*.f64 y (+.f64 x z)))) #s(literal 1/2 binary64)))
(*.f64 (log.f64 (fma.f64 x z (*.f64 y (+.f64 x z)))) #s(literal 1/2 binary64))
(log.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)
#s(literal 1/2 binary64)
(*.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)))))))
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) (sqrt.f64 (/.f64 (+.f64 x y) z)))
#s(literal 2 binary64)
(sqrt.f64 (/.f64 (+.f64 x y) z))
(/.f64 (+.f64 x y) z)
(+.f64 x y)
x
y
(*.f64 (*.f64 x y) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 z #s(literal 3 binary64)) (+.f64 x y)))))
(*.f64 x y)
(sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 z #s(literal 3 binary64)) (+.f64 x y))))
(/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 z #s(literal 3 binary64)) (+.f64 x y)))
#s(literal 1 binary64)
(*.f64 (pow.f64 z #s(literal 3 binary64)) (+.f64 x y))
(pow.f64 z #s(literal 3 binary64))
#s(literal 3 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) (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))))
(*.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 z y) (*.f64 z y))))
#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))
(sqrt.f64 (fma.f64 x z (*.f64 y (+.f64 x z))))
(sqrt.f64 (fma.f64 y (+.f64 x z) (*.f64 x z)))
(sqrt.f64 (fma.f64 x y (*.f64 z (+.f64 x y))))
(sqrt.f64 (fma.f64 x (+.f64 z y) (*.f64 z y)))
(pow.f64 (fma.f64 x z (*.f64 y (+.f64 x z))) #s(literal 1/4 binary64))
(pow.f64 (fma.f64 y (+.f64 x z) (*.f64 x z)) #s(literal 1/4 binary64))
(pow.f64 (fma.f64 x y (*.f64 z (+.f64 x y))) #s(literal 1/4 binary64))
(pow.f64 (fma.f64 x (+.f64 z y) (*.f64 z y)) #s(literal 1/4 binary64))
(fma.f64 x z (*.f64 y (+.f64 x z)))
(fma.f64 y (+.f64 x z) (*.f64 x z))
(fma.f64 x y (*.f64 z (+.f64 x y)))
(fma.f64 x (+.f64 z y) (*.f64 z 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 x (+.f64 y (+.f64 z (*.f64 y (/.f64 z 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) (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))))
(*.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 z y) (*.f64 z y))))
#s(literal 2 binary64)
(sqrt.f64 (*.f64 x (+.f64 y (+.f64 z (*.f64 y (/.f64 z x))))))
(pow.f64 (pow.f64 (fma.f64 x z (*.f64 y (+.f64 x z))) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(sqrt.f64 (fma.f64 x z (*.f64 y (+.f64 x z))))
(sqrt.f64 (fma.f64 y (+.f64 x z) (*.f64 x z)))
(sqrt.f64 (fma.f64 x y (*.f64 z (+.f64 x y))))
(sqrt.f64 (fma.f64 x (+.f64 z y) (*.f64 z y)))
(*.f64 x (+.f64 y (+.f64 z (*.f64 y (/.f64 z x)))))
(fma.f64 x z (*.f64 y (+.f64 x z)))
(fma.f64 y (+.f64 x z) (*.f64 x z))
(fma.f64 x y (*.f64 z (+.f64 x y)))
(fma.f64 x (+.f64 z y) (*.f64 z y))
x
(+.f64 y (+.f64 z (*.f64 y (/.f64 z x))))
(+.f64 y (fma.f64 y (/.f64 z x) z))
(+.f64 z (fma.f64 y (/.f64 z x) y))
(fma.f64 (+.f64 (/.f64 z x) #s(literal 1 binary64)) y z)
(fma.f64 y (+.f64 (/.f64 z x) #s(literal 1 binary64)) z)
(fma.f64 z (+.f64 #s(literal 1 binary64) (/.f64 y x)) y)
y
(+.f64 z (*.f64 y (/.f64 z x)))
(fma.f64 y (/.f64 z x) z)
(fma.f64 z (/.f64 y x) z)
z
(*.f64 y (/.f64 z x))
(*.f64 z (/.f64 y x))
(/.f64 z x)
(*.f64 #s(literal 2 binary64) (exp.f64 (*.f64 (log.f64 (fma.f64 x z (*.f64 y (+.f64 x z)))) #s(literal 1/2 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 (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))))
(*.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 z y) (*.f64 z y))))
#s(literal 2 binary64)
(exp.f64 (*.f64 (log.f64 (fma.f64 x z (*.f64 y (+.f64 x z)))) #s(literal 1/2 binary64)))
(pow.f64 (pow.f64 (fma.f64 x z (*.f64 y (+.f64 x z))) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(sqrt.f64 (fma.f64 x z (*.f64 y (+.f64 x z))))
(sqrt.f64 (fma.f64 y (+.f64 x z) (*.f64 x z)))
(sqrt.f64 (fma.f64 x y (*.f64 z (+.f64 x y))))
(sqrt.f64 (fma.f64 x (+.f64 z y) (*.f64 z y)))
(*.f64 (log.f64 (fma.f64 x z (*.f64 y (+.f64 x z)))) #s(literal 1/2 binary64))
(*.f64 (log.f64 (fma.f64 y (+.f64 x z) (*.f64 x z))) #s(literal 1/2 binary64))
(*.f64 (log.f64 (fma.f64 x y (*.f64 z (+.f64 x y)))) #s(literal 1/2 binary64))
(*.f64 (log.f64 (fma.f64 x (+.f64 z y) (*.f64 z y))) #s(literal 1/2 binary64))
(log.f64 (fma.f64 x z (*.f64 y (+.f64 x z))))
(log.f64 (fma.f64 y (+.f64 x z) (*.f64 x z)))
(log.f64 (fma.f64 x y (*.f64 z (+.f64 x y))))
(log.f64 (fma.f64 x (+.f64 z y) (*.f64 z y)))
(fma.f64 x z (*.f64 y (+.f64 x z)))
(fma.f64 y (+.f64 x z) (*.f64 x z))
(fma.f64 x y (*.f64 z (+.f64 x y)))
(fma.f64 x (+.f64 z y) (*.f64 z y))
x
z
(*.f64 y (+.f64 x z))
y
(+.f64 x z)
#s(literal 1/2 binary64)
(*.f64 z (+.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 (+.f64 x y) z))) (*.f64 (*.f64 x y) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 z #s(literal 3 binary64)) (+.f64 x y)))))))
(*.f64 z (fma.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 (+.f64 x y) z)) (*.f64 (*.f64 x y) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (+.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 x (*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 x y) (pow.f64 z #s(literal 3 binary64)))))))))
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))))))
(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)))))))
(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 #s(literal 2 binary64) (sqrt.f64 (/.f64 (+.f64 x y) z)))
#s(literal 2 binary64)
(sqrt.f64 (/.f64 (+.f64 x y) z))
(/.f64 (+.f64 x y) z)
(+.f64 x y)
x
y
(*.f64 (*.f64 x y) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (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 x (*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 x y) (pow.f64 z #s(literal 3 binary64)))))))
(*.f64 x y)
(sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (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)))))
(/.f64 #s(literal 1 binary64) (*.f64 (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))))
#s(literal 1 binary64)
(*.f64 (pow.f64 z #s(literal 3 binary64)) (+.f64 x y))
(*.f64 (+.f64 x y) (pow.f64 z #s(literal 3 binary64)))
(pow.f64 z #s(literal 3 binary64))
#s(literal 3 binary64)

localize462.0ms (3.1%)

Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
accuracy92.1%
(*.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)))))))
accuracy90.6%
(*.f64 (*.f64 x y) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 z #s(literal 3 binary64)) (+.f64 x y)))))
accuracy86.5%
(sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 z #s(literal 3 binary64)) (+.f64 x y))))
accuracy86.4%
(sqrt.f64 (/.f64 (+.f64 x y) z))
accuracy100.0%
(*.f64 #s(literal 2 binary64) (exp.f64 (*.f64 (log.f64 (fma.f64 x z (*.f64 y (+.f64 x z)))) #s(literal 1/2 binary64))))
accuracy100.0%
(fma.f64 x z (*.f64 y (+.f64 x z)))
accuracy96.2%
(exp.f64 (*.f64 (log.f64 (fma.f64 x z (*.f64 y (+.f64 x z)))) #s(literal 1/2 binary64)))
accuracy83.7%
(log.f64 (fma.f64 x z (*.f64 y (+.f64 x z))))
accuracy100.0%
(+.f64 z (*.f64 y (/.f64 z x)))
accuracy94.5%
(*.f64 y (/.f64 z x))
accuracy94.4%
(*.f64 x (+.f64 y (+.f64 z (*.f64 y (/.f64 z x)))))
accuracy84.1%
(sqrt.f64 (*.f64 x (+.f64 y (+.f64 z (*.f64 y (/.f64 z x))))))
accuracy100.0%
(*.f64 x y)
accuracy100.0%
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 x y)))
accuracy88.0%
(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))
accuracy83.9%
(pow.f64 (fma.f64 x z (*.f64 y (+.f64 x z))) #s(literal 1/4 binary64))
Results
331.0ms118×0valid
71.0ms138×0invalid
Compiler

Compiled 331 to 40 computations (87.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 73.0ms
ival-mult: 23.0ms (31.6% of total)
ival-pow: 17.0ms (23.4% of total)
ival-sqrt: 8.0ms (11% of total)
ival-add: 7.0ms (9.6% of total)
ival-div: 6.0ms (8.2% of total)
ival-exp: 5.0ms (6.9% of total)
ival-fma: 3.0ms (4.1% of total)
ival-log: 3.0ms (4.1% of total)
const: 1.0ms (1.4% of total)
backward-pass: 0.0ms (0% of total)

series331.0ms (2.2%)

Counts
22 → 635
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 y (/.f64 z x))>
#<alt (/.f64 z x)>
#<alt (*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 x (+.f64 y (+.f64 z (*.f64 y (/.f64 z x)))))))>
#<alt (sqrt.f64 (*.f64 x (+.f64 y (+.f64 z (*.f64 y (/.f64 z x))))))>
#<alt (*.f64 #s(literal 2 binary64) (exp.f64 (*.f64 (log.f64 (fma.f64 x z (*.f64 y (+.f64 x z)))) #s(literal 1/2 binary64))))>
#<alt (exp.f64 (*.f64 (log.f64 (fma.f64 x z (*.f64 y (+.f64 x z)))) #s(literal 1/2 binary64)))>
#<alt (*.f64 (log.f64 (fma.f64 x z (*.f64 y (+.f64 x z)))) #s(literal 1/2 binary64))>
#<alt (log.f64 (fma.f64 x z (*.f64 y (+.f64 x z))))>
#<alt (*.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 (+.f64 x y) z)))>
#<alt (sqrt.f64 (/.f64 (+.f64 x y) z))>
#<alt (/.f64 (+.f64 x y) z)>
#<alt (+.f64 x y)>
#<alt (*.f64 x (+.f64 y (+.f64 z (*.f64 y (/.f64 z x)))))>
#<alt (+.f64 z (*.f64 y (/.f64 z x)))>
#<alt (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 z #s(literal 3 binary64)) (+.f64 x y))))>
#<alt (*.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 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)))))))>
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)))))>
#<alt (+.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 x z))) (*.f64 y (+.f64 (*.f64 y (+.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))))) (pow.f64 (+.f64 x z) #s(literal 2 binary64)))) (*.f64 #s(literal 1/8 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 5 binary64)) (pow.f64 z #s(literal 5 binary64))))) (*.f64 y (pow.f64 (+.f64 x z) #s(literal 3 binary64))))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x z))) (+.f64 x z)))))>
#<alt (*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 y (+.f64 x z))))>
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#<alt (+.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 y z))) (*.f64 x (+.f64 (*.f64 x (+.f64 (*.f64 x (*.f64 z (+.f64 (*.f64 #s(literal 1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 y #s(literal 5 binary64)) z)))) (*.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))))))))) (*.f64 z (+.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (pow.f64 z #s(literal 3 binary64)))))) (*.f64 #s(literal -1/4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 y #s(literal 3 binary64)) z)))))))) (*.f64 z (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 y z))) (sqrt.f64 (/.f64 y (pow.f64 z #s(literal 3 binary64)))))))))>
#<alt (*.f64 x (*.f64 z (+.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x z)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (pow.f64 z #s(literal 3 binary64))))) y))))>
#<alt (*.f64 x (+.f64 (*.f64 z (+.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x z)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (pow.f64 z #s(literal 3 binary64))))) y))) (/.f64 (*.f64 z (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 (/.f64 x (pow.f64 z #s(literal 3 binary64)))) (pow.f64 y #s(literal 2 binary64)))) (*.f64 (sqrt.f64 (/.f64 x z)) y))) (pow.f64 x #s(literal 2 binary64)))))>
#<alt (*.f64 x (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 5 binary64)) z))) (pow.f64 y #s(literal 3 binary64)))) (+.f64 (*.f64 z (+.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x z)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (pow.f64 z #s(literal 3 binary64))))) y))) (/.f64 (*.f64 z (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 (/.f64 x (pow.f64 z #s(literal 3 binary64)))) (pow.f64 y #s(literal 2 binary64)))) (*.f64 (sqrt.f64 (/.f64 x z)) y))) (pow.f64 x #s(literal 2 binary64))))))>
#<alt (*.f64 x (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 5 binary64)) z))) (pow.f64 y #s(literal 3 binary64)))) (+.f64 (*.f64 z (+.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x z)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (pow.f64 z #s(literal 3 binary64))))) y))) (+.f64 (/.f64 (*.f64 z (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 (*.f64 x (pow.f64 z #s(literal 3 binary64)))) (*.f64 y (+.f64 (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 x (pow.f64 y #s(literal 2 binary64))) (pow.f64 z #s(literal 3 binary64)))) (/.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))))))) (*.f64 #s(literal -1/4 binary64) (*.f64 (sqrt.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) z)) (pow.f64 y #s(literal 2 binary64)))))) (pow.f64 x #s(literal 4 binary64))) (/.f64 (*.f64 z (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 (/.f64 x (pow.f64 z #s(literal 3 binary64)))) (pow.f64 y #s(literal 2 binary64)))) (*.f64 (sqrt.f64 (/.f64 x z)) y))) (pow.f64 x #s(literal 2 binary64)))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (pow.f64 z #s(literal 3 binary64))))) (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))) (*.f64 #s(literal 2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x z))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (pow.f64 z #s(literal 3 binary64))))) (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))) (*.f64 #s(literal 2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x z))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))) (/.f64 (*.f64 z (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 x (pow.f64 z #s(literal 3 binary64)))) (pow.f64 y #s(literal 2 binary64)))) (*.f64 (sqrt.f64 (/.f64 x z)) y))) (pow.f64 x #s(literal 2 binary64))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 5 binary64)) z))) (pow.f64 y #s(literal 3 binary64)))) (+.f64 (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (pow.f64 z #s(literal 3 binary64))))) (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))) (*.f64 #s(literal 2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x z))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))) (/.f64 (*.f64 z (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 x (pow.f64 z #s(literal 3 binary64)))) (pow.f64 y #s(literal 2 binary64)))) (*.f64 (sqrt.f64 (/.f64 x z)) y))) (pow.f64 x #s(literal 2 binary64)))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 z (+.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 (sqrt.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) z)) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))) (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (*.f64 x (pow.f64 z #s(literal 3 binary64)))) (*.f64 y (+.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 x (pow.f64 y #s(literal 2 binary64))) (*.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))) (/.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))))))))) x)) (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 x z)) (pow.f64 y #s(literal 3 binary64))))) (pow.f64 x #s(literal 3 binary64)))) (+.f64 (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (pow.f64 z #s(literal 3 binary64))))) (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))) (*.f64 #s(literal 2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x z))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))) (/.f64 (*.f64 z (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 x (pow.f64 z #s(literal 3 binary64)))) (pow.f64 y #s(literal 2 binary64)))) (*.f64 (sqrt.f64 (/.f64 x z)) y))) (pow.f64 x #s(literal 2 binary64)))))))>
#<alt (*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 x z)))>
#<alt (+.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 x z))) (*.f64 y (*.f64 z (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x z))) (sqrt.f64 (/.f64 x (pow.f64 z #s(literal 3 binary64))))))))>
#<alt (+.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 x z))) (*.f64 y (+.f64 (*.f64 y (*.f64 z (+.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (pow.f64 z #s(literal 3 binary64)))))) (*.f64 #s(literal -1/4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) z))))))) (*.f64 z (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x z))) (sqrt.f64 (/.f64 x (pow.f64 z #s(literal 3 binary64)))))))))>
#<alt (+.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 x z))) (*.f64 y (+.f64 (*.f64 y (+.f64 (*.f64 y (*.f64 z (+.f64 (*.f64 #s(literal 1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 5 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 z #s(literal 3 binary64))))))))) (*.f64 z (+.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (pow.f64 z #s(literal 3 binary64)))))) (*.f64 #s(literal -1/4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) z)))))))) (*.f64 z (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x z))) (sqrt.f64 (/.f64 x (pow.f64 z #s(literal 3 binary64)))))))))>
#<alt (*.f64 y (*.f64 z (+.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 y z)))) (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (pow.f64 z #s(literal 3 binary64)))))))))>
#<alt (*.f64 y (+.f64 (*.f64 z (+.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 y z)))) (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (pow.f64 z #s(literal 3 binary64)))))))) (/.f64 (*.f64 z (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (/.f64 y (pow.f64 z #s(literal 3 binary64)))))) (*.f64 x (sqrt.f64 (/.f64 y z))))) (pow.f64 y #s(literal 2 binary64)))))>
#<alt (*.f64 y (+.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 5 binary64)) z))))) (+.f64 (*.f64 z (+.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 y z)))) (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (pow.f64 z #s(literal 3 binary64)))))))) (/.f64 (*.f64 z (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (/.f64 y (pow.f64 z #s(literal 3 binary64)))))) (*.f64 x (sqrt.f64 (/.f64 y z))))) (pow.f64 y #s(literal 2 binary64))))))>
#<alt (*.f64 y (+.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 5 binary64)) z))))) (+.f64 (*.f64 z (+.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 y z)))) (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (pow.f64 z #s(literal 3 binary64)))))))) (+.f64 (/.f64 (*.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)) y) (pow.f64 z #s(literal 3 binary64)))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))))) (sqrt.f64 (*.f64 y (pow.f64 z #s(literal 3 binary64)))))) (*.f64 #s(literal -1/4 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) z)))))) (pow.f64 y #s(literal 4 binary64))) (/.f64 (*.f64 z (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (/.f64 y (pow.f64 z #s(literal 3 binary64)))))) (*.f64 x (sqrt.f64 (/.f64 y z))))) (pow.f64 y #s(literal 2 binary64)))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 (*.f64 x (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (pow.f64 z #s(literal 3 binary64))))))) (*.f64 #s(literal 2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 y z))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 (*.f64 x (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (pow.f64 z #s(literal 3 binary64))))))) (*.f64 #s(literal 2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 y z))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))) (/.f64 (*.f64 z (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (/.f64 y (pow.f64 z #s(literal 3 binary64)))))) (*.f64 x (sqrt.f64 (/.f64 y z))))) (pow.f64 y #s(literal 2 binary64))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.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 5 binary64)) z))))) (+.f64 (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 (*.f64 x (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (pow.f64 z #s(literal 3 binary64))))))) (*.f64 #s(literal 2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 y z))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))) (/.f64 (*.f64 z (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (/.f64 y (pow.f64 z #s(literal 3 binary64)))))) (*.f64 x (sqrt.f64 (/.f64 y z))))) (pow.f64 y #s(literal 2 binary64)))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 z (+.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (sqrt.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) z)))) (*.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)) y) (*.f64 (pow.f64 z #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 z #s(literal 3 binary64))))) (sqrt.f64 (*.f64 y (pow.f64 z #s(literal 3 binary64)))))))) y)) (*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) (sqrt.f64 (/.f64 y z))))) (pow.f64 y #s(literal 3 binary64)))) (+.f64 (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 (*.f64 x (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (pow.f64 z #s(literal 3 binary64))))))) (*.f64 #s(literal 2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 y z))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))) (/.f64 (*.f64 z (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (/.f64 y (pow.f64 z #s(literal 3 binary64)))))) (*.f64 x (sqrt.f64 (/.f64 y z))))) (pow.f64 y #s(literal 2 binary64)))))))>
Calls

186 calls:

TimeVariablePointExpression
71.0ms
y
@0
(log (+ (* x z) (* y (+ x z))))
11.0ms
y
@-inf
(* z (+ (* 2 (sqrt (/ (+ x y) z))) (* (* x y) (sqrt (/ 1 (* (pow z 3) (+ x y)))))))
7.0ms
z
@-inf
(pow (+ (* x z) (* y (+ x z))) 1/4)
6.0ms
x
@inf
(* (* x y) (sqrt (/ 1 (* (pow z 3) (+ x y)))))
5.0ms
x
@inf
(sqrt (/ 1 (* (pow z 3) (+ x y))))

rewrite277.0ms (1.8%)

Algorithm
batch-egg-rewrite
Rules
338×log1p-expm1-u
338×expm1-log1p-u
331×add-exp-log
330×add-cube-cbrt
329×add-log-exp
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
047860
1768816
Stop Event
node limit
Counts
22 → 421
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 y (/.f64 z x))
(/.f64 z x)
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 x (+.f64 y (+.f64 z (*.f64 y (/.f64 z x)))))))
(sqrt.f64 (*.f64 x (+.f64 y (+.f64 z (*.f64 y (/.f64 z x))))))
(*.f64 #s(literal 2 binary64) (exp.f64 (*.f64 (log.f64 (fma.f64 x z (*.f64 y (+.f64 x z)))) #s(literal 1/2 binary64))))
(exp.f64 (*.f64 (log.f64 (fma.f64 x z (*.f64 y (+.f64 x z)))) #s(literal 1/2 binary64)))
(*.f64 (log.f64 (fma.f64 x z (*.f64 y (+.f64 x z)))) #s(literal 1/2 binary64))
(log.f64 (fma.f64 x z (*.f64 y (+.f64 x z))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 (+.f64 x y) z)))
(sqrt.f64 (/.f64 (+.f64 x y) z))
(/.f64 (+.f64 x y) z)
(+.f64 x y)
(*.f64 x (+.f64 y (+.f64 z (*.f64 y (/.f64 z x)))))
(+.f64 z (*.f64 y (/.f64 z x)))
(sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 z #s(literal 3 binary64)) (+.f64 x y))))
(*.f64 (*.f64 x y) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 z #s(literal 3 binary64)) (+.f64 x y)))))
(*.f64 z (+.f64 (*.f64 #s(literal 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)))))))
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))
(sqrt.f64 (pow.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 (sqrt.f64 (fma.f64 x z (*.f64 y (+.f64 x z))))) #s(literal 2 binary64)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (fma.f64 x z (*.f64 y (+.f64 x z))))))))
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(fma.f64 #s(literal 1 binary64) (*.f64 y (/.f64 z x)) z)
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 y (/.f64 z x))) #s(literal 2 binary64)) (cbrt.f64 (*.f64 y (/.f64 z x))) z)
(fma.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) (cbrt.f64 z) (*.f64 y (/.f64 z x)))
(fma.f64 (sqrt.f64 z) (sqrt.f64 z) (*.f64 y (/.f64 z x)))
(fma.f64 (sqrt.f64 (*.f64 y (/.f64 z x))) (sqrt.f64 (*.f64 y (/.f64 z x))) z)
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (/.f64 (pow.f64 z #s(literal -3 binary64)) (+.f64 x y))))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 (pow.f64 z #s(literal -3 binary64)) (+.f64 x y))))
(*.f64 (cbrt.f64 (/.f64 (pow.f64 z #s(literal -3 binary64)) (+.f64 x y))) (cbrt.f64 (sqrt.f64 (/.f64 (pow.f64 z #s(literal -3 binary64)) (+.f64 x y)))))
(*.f64 (pow.f64 (/.f64 (pow.f64 z #s(literal -3 binary64)) (+.f64 x y)) #s(literal 1/4 binary64)) (pow.f64 (/.f64 (pow.f64 z #s(literal -3 binary64)) (+.f64 x y)) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/2 binary64)) (sqrt.f64 (/.f64 (pow.f64 z #s(literal -3 binary64)) (+.f64 x y))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (/.f64 (pow.f64 z #s(literal -3 binary64)) (+.f64 x y))) #s(literal 2 binary64)) #s(literal 1/2 binary64)) (pow.f64 (cbrt.f64 (/.f64 (pow.f64 z #s(literal -3 binary64)) (+.f64 x y))) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 (pow.f64 z #s(literal -3 binary64)) (+.f64 x y))) #s(literal 2 binary64))) (sqrt.f64 (cbrt.f64 (/.f64 (pow.f64 z #s(literal -3 binary64)) (+.f64 x y)))))
(/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (+.f64 x y)) (pow.f64 z #s(literal 3/2 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 (pow.f64 z #s(literal -3 binary64))) (sqrt.f64 (+.f64 x y)))
(pow.f64 (*.f64 (+.f64 x y) (pow.f64 z #s(literal 3 binary64))) #s(literal -1/2 binary64))
(pow.f64 (/.f64 (pow.f64 z #s(literal -3 binary64)) (+.f64 x y)) #s(literal 1/2 binary64))
(pow.f64 (sqrt.f64 (/.f64 (pow.f64 z #s(literal -3 binary64)) (+.f64 x y))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (sqrt.f64 (/.f64 (pow.f64 z #s(literal -3 binary64)) (+.f64 x y)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (/.f64 (pow.f64 z #s(literal -3 binary64)) (+.f64 x y)) #s(literal 3/2 binary64)) #s(literal 1/3 binary64))
(pow.f64 (*.f64 (sqrt.f64 (+.f64 x y)) (pow.f64 z #s(literal 3/2 binary64))) #s(literal -1 binary64))
(pow.f64 (pow.f64 (/.f64 (pow.f64 z #s(literal -3 binary64)) (+.f64 x y)) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(fabs.f64 (sqrt.f64 (/.f64 (pow.f64 z #s(literal -3 binary64)) (+.f64 x y))))
(log.f64 (exp.f64 (sqrt.f64 (/.f64 (pow.f64 z #s(literal -3 binary64)) (+.f64 x y)))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (sqrt.f64 (/.f64 (pow.f64 z #s(literal -3 binary64)) (+.f64 x y))))))
(cbrt.f64 (pow.f64 (/.f64 (pow.f64 z #s(literal -3 binary64)) (+.f64 x y)) #s(literal 3/2 binary64)))
(expm1.f64 (log1p.f64 (sqrt.f64 (/.f64 (pow.f64 z #s(literal -3 binary64)) (+.f64 x y)))))
(log1p.f64 (expm1.f64 (sqrt.f64 (/.f64 (pow.f64 z #s(literal -3 binary64)) (+.f64 x y)))))
(exp.f64 (log.f64 (sqrt.f64 (/.f64 (pow.f64 z #s(literal -3 binary64)) (+.f64 x y)))))
(exp.f64 (*.f64 (log.f64 (/.f64 (pow.f64 z #s(literal -3 binary64)) (+.f64 x y))) #s(literal 1/2 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 (pow.f64 z #s(literal -3 binary64)) (+.f64 x y)))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x (*.f64 y (sqrt.f64 (/.f64 (pow.f64 z #s(literal -3 binary64)) (+.f64 x y))))))) #s(literal 1 binary64))
(pow.f64 (*.f64 x (*.f64 y (sqrt.f64 (/.f64 (pow.f64 z #s(literal -3 binary64)) (+.f64 x y))))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 x (*.f64 y (sqrt.f64 (/.f64 (pow.f64 z #s(literal -3 binary64)) (+.f64 x y)))))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 x (*.f64 y (sqrt.f64 (/.f64 (pow.f64 z #s(literal -3 binary64)) (+.f64 x y))))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 x (*.f64 y (sqrt.f64 (/.f64 (pow.f64 z #s(literal -3 binary64)) (+.f64 x y)))))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 x (*.f64 y (sqrt.f64 (/.f64 (pow.f64 z #s(literal -3 binary64)) (+.f64 x y))))) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 (sqrt.f64 (/.f64 (pow.f64 z #s(literal -3 binary64)) (+.f64 x y)))) (*.f64 x y)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x (*.f64 y (sqrt.f64 (/.f64 (pow.f64 z #s(literal -3 binary64)) (+.f64 x y))))))))
(cbrt.f64 (pow.f64 (*.f64 x (*.f64 y (sqrt.f64 (/.f64 (pow.f64 z #s(literal -3 binary64)) (+.f64 x y))))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 x (*.f64 y (sqrt.f64 (/.f64 (pow.f64 z #s(literal -3 binary64)) (+.f64 x y)))))))
(log1p.f64 (expm1.f64 (*.f64 x (*.f64 y (sqrt.f64 (/.f64 (pow.f64 z #s(literal -3 binary64)) (+.f64 x y)))))))
(exp.f64 (log.f64 (*.f64 x (*.f64 y (sqrt.f64 (/.f64 (pow.f64 z #s(literal -3 binary64)) (+.f64 x y)))))))
(exp.f64 (*.f64 (log.f64 (*.f64 x (*.f64 y (sqrt.f64 (/.f64 (pow.f64 z #s(literal -3 binary64)) (+.f64 x y)))))) #s(literal 1 binary64)))
(+.f64 (*.f64 z (*.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 (+.f64 x y) z)))) (*.f64 z (*.f64 x (*.f64 y (sqrt.f64 (/.f64 (pow.f64 z #s(literal -3 binary64)) (+.f64 x y)))))))
(+.f64 (*.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 (+.f64 x y) z))) z) (*.f64 (*.f64 x (*.f64 y (sqrt.f64 (/.f64 (pow.f64 z #s(literal -3 binary64)) (+.f64 x y))))) z))
(-.f64 (exp.f64 (log1p.f64 (*.f64 z (fma.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 (+.f64 x y) z)) (*.f64 x (*.f64 y (sqrt.f64 (/.f64 (pow.f64 z #s(literal -3 binary64)) (+.f64 x y))))))))) #s(literal 1 binary64))
(pow.f64 (*.f64 z (fma.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 (+.f64 x y) z)) (*.f64 x (*.f64 y (sqrt.f64 (/.f64 (pow.f64 z #s(literal -3 binary64)) (+.f64 x y))))))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 z (fma.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 (+.f64 x y) z)) (*.f64 x (*.f64 y (sqrt.f64 (/.f64 (pow.f64 z #s(literal -3 binary64)) (+.f64 x y)))))))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 z (fma.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 (+.f64 x y) z)) (*.f64 x (*.f64 y (sqrt.f64 (/.f64 (pow.f64 z #s(literal -3 binary64)) (+.f64 x y))))))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 z (fma.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 (+.f64 x y) z)) (*.f64 x (*.f64 y (sqrt.f64 (/.f64 (pow.f64 z #s(literal -3 binary64)) (+.f64 x y)))))))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 z (fma.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 (+.f64 x y) z)) (*.f64 x (*.f64 y (sqrt.f64 (/.f64 (pow.f64 z #s(literal -3 binary64)) (+.f64 x y))))))) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 z) (fma.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 (+.f64 x y) z)) (*.f64 x (*.f64 y (sqrt.f64 (/.f64 (pow.f64 z #s(literal -3 binary64)) (+.f64 x y))))))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 z (fma.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 (+.f64 x y) z)) (*.f64 x (*.f64 y (sqrt.f64 (/.f64 (pow.f64 z #s(literal -3 binary64)) (+.f64 x y))))))))))
(cbrt.f64 (pow.f64 (*.f64 z (fma.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 (+.f64 x y) z)) (*.f64 x (*.f64 y (sqrt.f64 (/.f64 (pow.f64 z #s(literal -3 binary64)) (+.f64 x y))))))) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 (fma.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 (+.f64 x y) z)) (*.f64 x (*.f64 y (sqrt.f64 (/.f64 (pow.f64 z #s(literal -3 binary64)) (+.f64 x y)))))) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 (+.f64 x y) z)) (*.f64 x (*.f64 y (sqrt.f64 (/.f64 (pow.f64 z #s(literal -3 binary64)) (+.f64 x y)))))) #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 z (fma.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 (+.f64 x y) z)) (*.f64 x (*.f64 y (sqrt.f64 (/.f64 (pow.f64 z #s(literal -3 binary64)) (+.f64 x y)))))))))
(log1p.f64 (expm1.f64 (*.f64 z (fma.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 (+.f64 x y) z)) (*.f64 x (*.f64 y (sqrt.f64 (/.f64 (pow.f64 z #s(literal -3 binary64)) (+.f64 x y)))))))))
(exp.f64 (log.f64 (*.f64 z (fma.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 (+.f64 x y) z)) (*.f64 x (*.f64 y (sqrt.f64 (/.f64 (pow.f64 z #s(literal -3 binary64)) (+.f64 x y)))))))))
(exp.f64 (*.f64 (log.f64 (*.f64 z (fma.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 (+.f64 x y) z)) (*.f64 x (*.f64 y (sqrt.f64 (/.f64 (pow.f64 z #s(literal -3 binary64)) (+.f64 x y)))))))) #s(literal 1 binary64)))
(fma.f64 z (*.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 (+.f64 x y) z))) (*.f64 z (*.f64 x (*.f64 y (sqrt.f64 (/.f64 (pow.f64 z #s(literal -3 binary64)) (+.f64 x y)))))))
(fma.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 (+.f64 x y) z))) z (*.f64 (*.f64 x (*.f64 y (sqrt.f64 (/.f64 (pow.f64 z #s(literal -3 binary64)) (+.f64 x y))))) z))

simplify913.0ms (6.1%)

Algorithm
egg-herbie
Rules
604×+-commutative
444×fma-define
368×associate-*r*
315×distribute-rgt-in
315×distribute-lft-in
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0278990088
1762488396
Stop Event
node limit
Counts
1056 → 1292
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)))
(+.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 x y))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x y))) (*.f64 z (+.f64 x y))))
(+.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 x y))) (*.f64 z (+.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))) (*.f64 z (pow.f64 (+.f64 x y) #s(literal 2 binary64))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x y))) (+.f64 x y)))))
(+.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 x y))) (*.f64 z (+.f64 (*.f64 z (+.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))) (pow.f64 (+.f64 x y) #s(literal 2 binary64)))) (*.f64 #s(literal 1/8 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 5 binary64)) (pow.f64 y #s(literal 5 binary64))))) (*.f64 z (pow.f64 (+.f64 x y) #s(literal 3 binary64))))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x y))) (+.f64 x y)))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 z (+.f64 x y))))
(*.f64 z (+.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 (+.f64 x y) z))) (*.f64 (*.f64 x y) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 z #s(literal 3 binary64)) (+.f64 x y)))))))
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(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (/.f64 (pow.f64 z #s(literal -3 binary64)) (+.f64 x y))))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 (pow.f64 z #s(literal -3 binary64)) (+.f64 x y))))
(*.f64 (cbrt.f64 (/.f64 (pow.f64 z #s(literal -3 binary64)) (+.f64 x y))) (cbrt.f64 (sqrt.f64 (/.f64 (pow.f64 z #s(literal -3 binary64)) (+.f64 x y)))))
(*.f64 (pow.f64 (/.f64 (pow.f64 z #s(literal -3 binary64)) (+.f64 x y)) #s(literal 1/4 binary64)) (pow.f64 (/.f64 (pow.f64 z #s(literal -3 binary64)) (+.f64 x y)) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/2 binary64)) (sqrt.f64 (/.f64 (pow.f64 z #s(literal -3 binary64)) (+.f64 x y))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (/.f64 (pow.f64 z #s(literal -3 binary64)) (+.f64 x y))) #s(literal 2 binary64)) #s(literal 1/2 binary64)) (pow.f64 (cbrt.f64 (/.f64 (pow.f64 z #s(literal -3 binary64)) (+.f64 x y))) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 (pow.f64 z #s(literal -3 binary64)) (+.f64 x y))) #s(literal 2 binary64))) (sqrt.f64 (cbrt.f64 (/.f64 (pow.f64 z #s(literal -3 binary64)) (+.f64 x y)))))
(/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (+.f64 x y)) (pow.f64 z #s(literal 3/2 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 (pow.f64 z #s(literal -3 binary64))) (sqrt.f64 (+.f64 x y)))
(pow.f64 (*.f64 (+.f64 x y) (pow.f64 z #s(literal 3 binary64))) #s(literal -1/2 binary64))
(pow.f64 (/.f64 (pow.f64 z #s(literal -3 binary64)) (+.f64 x y)) #s(literal 1/2 binary64))
(pow.f64 (sqrt.f64 (/.f64 (pow.f64 z #s(literal -3 binary64)) (+.f64 x y))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (sqrt.f64 (/.f64 (pow.f64 z #s(literal -3 binary64)) (+.f64 x y)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (/.f64 (pow.f64 z #s(literal -3 binary64)) (+.f64 x y)) #s(literal 3/2 binary64)) #s(literal 1/3 binary64))
(pow.f64 (*.f64 (sqrt.f64 (+.f64 x y)) (pow.f64 z #s(literal 3/2 binary64))) #s(literal -1 binary64))
(pow.f64 (pow.f64 (/.f64 (pow.f64 z #s(literal -3 binary64)) (+.f64 x y)) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(fabs.f64 (sqrt.f64 (/.f64 (pow.f64 z #s(literal -3 binary64)) (+.f64 x y))))
(log.f64 (exp.f64 (sqrt.f64 (/.f64 (pow.f64 z #s(literal -3 binary64)) (+.f64 x y)))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (sqrt.f64 (/.f64 (pow.f64 z #s(literal -3 binary64)) (+.f64 x y))))))
(cbrt.f64 (pow.f64 (/.f64 (pow.f64 z #s(literal -3 binary64)) (+.f64 x y)) #s(literal 3/2 binary64)))
(expm1.f64 (log1p.f64 (sqrt.f64 (/.f64 (pow.f64 z #s(literal -3 binary64)) (+.f64 x y)))))
(log1p.f64 (expm1.f64 (sqrt.f64 (/.f64 (pow.f64 z #s(literal -3 binary64)) (+.f64 x y)))))
(exp.f64 (log.f64 (sqrt.f64 (/.f64 (pow.f64 z #s(literal -3 binary64)) (+.f64 x y)))))
(exp.f64 (*.f64 (log.f64 (/.f64 (pow.f64 z #s(literal -3 binary64)) (+.f64 x y))) #s(literal 1/2 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 (pow.f64 z #s(literal -3 binary64)) (+.f64 x y)))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x (*.f64 y (sqrt.f64 (/.f64 (pow.f64 z #s(literal -3 binary64)) (+.f64 x y))))))) #s(literal 1 binary64))
(pow.f64 (*.f64 x (*.f64 y (sqrt.f64 (/.f64 (pow.f64 z #s(literal -3 binary64)) (+.f64 x y))))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 x (*.f64 y (sqrt.f64 (/.f64 (pow.f64 z #s(literal -3 binary64)) (+.f64 x y)))))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 x (*.f64 y (sqrt.f64 (/.f64 (pow.f64 z #s(literal -3 binary64)) (+.f64 x y))))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 x (*.f64 y (sqrt.f64 (/.f64 (pow.f64 z #s(literal -3 binary64)) (+.f64 x y)))))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 x (*.f64 y (sqrt.f64 (/.f64 (pow.f64 z #s(literal -3 binary64)) (+.f64 x y))))) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 (sqrt.f64 (/.f64 (pow.f64 z #s(literal -3 binary64)) (+.f64 x y)))) (*.f64 x y)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x (*.f64 y (sqrt.f64 (/.f64 (pow.f64 z #s(literal -3 binary64)) (+.f64 x y))))))))
(cbrt.f64 (pow.f64 (*.f64 x (*.f64 y (sqrt.f64 (/.f64 (pow.f64 z #s(literal -3 binary64)) (+.f64 x y))))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 x (*.f64 y (sqrt.f64 (/.f64 (pow.f64 z #s(literal -3 binary64)) (+.f64 x y)))))))
(log1p.f64 (expm1.f64 (*.f64 x (*.f64 y (sqrt.f64 (/.f64 (pow.f64 z #s(literal -3 binary64)) (+.f64 x y)))))))
(exp.f64 (log.f64 (*.f64 x (*.f64 y (sqrt.f64 (/.f64 (pow.f64 z #s(literal -3 binary64)) (+.f64 x y)))))))
(exp.f64 (*.f64 (log.f64 (*.f64 x (*.f64 y (sqrt.f64 (/.f64 (pow.f64 z #s(literal -3 binary64)) (+.f64 x y)))))) #s(literal 1 binary64)))
(+.f64 (*.f64 z (*.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 (+.f64 x y) z)))) (*.f64 z (*.f64 x (*.f64 y (sqrt.f64 (/.f64 (pow.f64 z #s(literal -3 binary64)) (+.f64 x y)))))))
(+.f64 (*.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 (+.f64 x y) z))) z) (*.f64 (*.f64 x (*.f64 y (sqrt.f64 (/.f64 (pow.f64 z #s(literal -3 binary64)) (+.f64 x y))))) z))
(-.f64 (exp.f64 (log1p.f64 (*.f64 z (fma.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 (+.f64 x y) z)) (*.f64 x (*.f64 y (sqrt.f64 (/.f64 (pow.f64 z #s(literal -3 binary64)) (+.f64 x y))))))))) #s(literal 1 binary64))
(pow.f64 (*.f64 z (fma.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 (+.f64 x y) z)) (*.f64 x (*.f64 y (sqrt.f64 (/.f64 (pow.f64 z #s(literal -3 binary64)) (+.f64 x y))))))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 z (fma.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 (+.f64 x y) z)) (*.f64 x (*.f64 y (sqrt.f64 (/.f64 (pow.f64 z #s(literal -3 binary64)) (+.f64 x y)))))))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 z (fma.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 (+.f64 x y) z)) (*.f64 x (*.f64 y (sqrt.f64 (/.f64 (pow.f64 z #s(literal -3 binary64)) (+.f64 x y))))))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 z (fma.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 (+.f64 x y) z)) (*.f64 x (*.f64 y (sqrt.f64 (/.f64 (pow.f64 z #s(literal -3 binary64)) (+.f64 x y)))))))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 z (fma.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 (+.f64 x y) z)) (*.f64 x (*.f64 y (sqrt.f64 (/.f64 (pow.f64 z #s(literal -3 binary64)) (+.f64 x y))))))) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 z) (fma.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 (+.f64 x y) z)) (*.f64 x (*.f64 y (sqrt.f64 (/.f64 (pow.f64 z #s(literal -3 binary64)) (+.f64 x y))))))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 z (fma.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 (+.f64 x y) z)) (*.f64 x (*.f64 y (sqrt.f64 (/.f64 (pow.f64 z #s(literal -3 binary64)) (+.f64 x y))))))))))
(cbrt.f64 (pow.f64 (*.f64 z (fma.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 (+.f64 x y) z)) (*.f64 x (*.f64 y (sqrt.f64 (/.f64 (pow.f64 z #s(literal -3 binary64)) (+.f64 x y))))))) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 (fma.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 (+.f64 x y) z)) (*.f64 x (*.f64 y (sqrt.f64 (/.f64 (pow.f64 z #s(literal -3 binary64)) (+.f64 x y)))))) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 (+.f64 x y) z)) (*.f64 x (*.f64 y (sqrt.f64 (/.f64 (pow.f64 z #s(literal -3 binary64)) (+.f64 x y)))))) #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 z (fma.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 (+.f64 x y) z)) (*.f64 x (*.f64 y (sqrt.f64 (/.f64 (pow.f64 z #s(literal -3 binary64)) (+.f64 x y)))))))))
(log1p.f64 (expm1.f64 (*.f64 z (fma.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 (+.f64 x y) z)) (*.f64 x (*.f64 y (sqrt.f64 (/.f64 (pow.f64 z #s(literal -3 binary64)) (+.f64 x y)))))))))
(exp.f64 (log.f64 (*.f64 z (fma.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 (+.f64 x y) z)) (*.f64 x (*.f64 y (sqrt.f64 (/.f64 (pow.f64 z #s(literal -3 binary64)) (+.f64 x y)))))))))
(exp.f64 (*.f64 (log.f64 (*.f64 z (fma.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 (+.f64 x y) z)) (*.f64 x (*.f64 y (sqrt.f64 (/.f64 (pow.f64 z #s(literal -3 binary64)) (+.f64 x y)))))))) #s(literal 1 binary64)))
(fma.f64 z (*.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 (+.f64 x y) z))) (*.f64 z (*.f64 x (*.f64 y (sqrt.f64 (/.f64 (pow.f64 z #s(literal -3 binary64)) (+.f64 x y)))))))
(fma.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 (+.f64 x y) z))) z (*.f64 (*.f64 x (*.f64 y (sqrt.f64 (/.f64 (pow.f64 z #s(literal -3 binary64)) (+.f64 x y))))) z))
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 (*.f64 x (+.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 (*.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 (/.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 x (*.f64 (pow.f64 (+.f64 y z) #s(literal 3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 y #s(literal 5 binary64)) (pow.f64 z #s(literal 5 binary64))))))))) (*.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))))
(*.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 (fma.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 (fma.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)))) (fma.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 x (fma.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)))) (fma.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)))) (fma.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 -2 binary64) (*.f64 (sqrt.f64 (*.f64 x (neg.f64 (+.f64 y 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 (neg.f64 x) (fma.f64 #s(literal 2 binary64) (*.f64 (sqrt.f64 (/.f64 (neg.f64 (+.f64 y z)) x)) (sqrt.f64 #s(literal -1 binary64))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) (neg.f64 (+.f64 y 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)))))))))
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(+.f64 (*.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 (+.f64 x y) z))) z) (*.f64 (*.f64 x (*.f64 y (sqrt.f64 (/.f64 (pow.f64 z #s(literal -3 binary64)) (+.f64 x y))))) z))
(*.f64 z (fma.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 (+.f64 y x) z)) (*.f64 (*.f64 x y) (sqrt.f64 (/.f64 (pow.f64 z #s(literal -3 binary64)) (+.f64 y x))))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 z (fma.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 (+.f64 x y) z)) (*.f64 x (*.f64 y (sqrt.f64 (/.f64 (pow.f64 z #s(literal -3 binary64)) (+.f64 x y))))))))) #s(literal 1 binary64))
(expm1.f64 (log1p.f64 (*.f64 z (fma.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 (+.f64 y x) z)) (*.f64 (*.f64 x y) (sqrt.f64 (/.f64 (pow.f64 z #s(literal -3 binary64)) (+.f64 y x))))))))
(pow.f64 (*.f64 z (fma.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 (+.f64 x y) z)) (*.f64 x (*.f64 y (sqrt.f64 (/.f64 (pow.f64 z #s(literal -3 binary64)) (+.f64 x y))))))) #s(literal 1 binary64))
(*.f64 z (fma.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 (+.f64 y x) z)) (*.f64 (*.f64 x y) (sqrt.f64 (/.f64 (pow.f64 z #s(literal -3 binary64)) (+.f64 y x))))))
(pow.f64 (cbrt.f64 (*.f64 z (fma.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 (+.f64 x y) z)) (*.f64 x (*.f64 y (sqrt.f64 (/.f64 (pow.f64 z #s(literal -3 binary64)) (+.f64 x y)))))))) #s(literal 3 binary64))
(*.f64 z (fma.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 (+.f64 y x) z)) (*.f64 (*.f64 x y) (sqrt.f64 (/.f64 (pow.f64 z #s(literal -3 binary64)) (+.f64 y x))))))
(pow.f64 (pow.f64 (*.f64 z (fma.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 (+.f64 x y) z)) (*.f64 x (*.f64 y (sqrt.f64 (/.f64 (pow.f64 z #s(literal -3 binary64)) (+.f64 x y))))))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(*.f64 z (fma.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 (+.f64 y x) z)) (*.f64 (*.f64 x y) (sqrt.f64 (/.f64 (pow.f64 z #s(literal -3 binary64)) (+.f64 y x))))))
(pow.f64 (sqrt.f64 (*.f64 z (fma.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 (+.f64 x y) z)) (*.f64 x (*.f64 y (sqrt.f64 (/.f64 (pow.f64 z #s(literal -3 binary64)) (+.f64 x y)))))))) #s(literal 2 binary64))
(*.f64 z (fma.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 (+.f64 y x) z)) (*.f64 (*.f64 x y) (sqrt.f64 (/.f64 (pow.f64 z #s(literal -3 binary64)) (+.f64 y x))))))
(sqrt.f64 (pow.f64 (*.f64 z (fma.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 (+.f64 x y) z)) (*.f64 x (*.f64 y (sqrt.f64 (/.f64 (pow.f64 z #s(literal -3 binary64)) (+.f64 x y))))))) #s(literal 2 binary64)))
(sqrt.f64 (pow.f64 (*.f64 z (fma.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 (+.f64 y x) z)) (*.f64 (*.f64 x y) (sqrt.f64 (/.f64 (pow.f64 z #s(literal -3 binary64)) (+.f64 y x)))))) #s(literal 2 binary64)))
(fabs.f64 (*.f64 z (fma.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 (+.f64 y x) z)) (*.f64 (*.f64 x y) (sqrt.f64 (/.f64 (pow.f64 z #s(literal -3 binary64)) (+.f64 y x)))))))
(log.f64 (pow.f64 (exp.f64 z) (fma.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 (+.f64 x y) z)) (*.f64 x (*.f64 y (sqrt.f64 (/.f64 (pow.f64 z #s(literal -3 binary64)) (+.f64 x y))))))))
(*.f64 z (fma.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 (+.f64 y x) z)) (*.f64 (*.f64 x y) (sqrt.f64 (/.f64 (pow.f64 z #s(literal -3 binary64)) (+.f64 y x))))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 z (fma.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 (+.f64 x y) z)) (*.f64 x (*.f64 y (sqrt.f64 (/.f64 (pow.f64 z #s(literal -3 binary64)) (+.f64 x y))))))))))
(*.f64 z (fma.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 (+.f64 y x) z)) (*.f64 (*.f64 x y) (sqrt.f64 (/.f64 (pow.f64 z #s(literal -3 binary64)) (+.f64 y x))))))
(cbrt.f64 (pow.f64 (*.f64 z (fma.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 (+.f64 x y) z)) (*.f64 x (*.f64 y (sqrt.f64 (/.f64 (pow.f64 z #s(literal -3 binary64)) (+.f64 x y))))))) #s(literal 3 binary64)))
(*.f64 z (fma.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 (+.f64 y x) z)) (*.f64 (*.f64 x y) (sqrt.f64 (/.f64 (pow.f64 z #s(literal -3 binary64)) (+.f64 y x))))))
(cbrt.f64 (*.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 (fma.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 (+.f64 x y) z)) (*.f64 x (*.f64 y (sqrt.f64 (/.f64 (pow.f64 z #s(literal -3 binary64)) (+.f64 x y)))))) #s(literal 3 binary64))))
(*.f64 z (fma.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 (+.f64 y x) z)) (*.f64 (*.f64 x y) (sqrt.f64 (/.f64 (pow.f64 z #s(literal -3 binary64)) (+.f64 y x))))))
(cbrt.f64 (*.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 (+.f64 x y) z)) (*.f64 x (*.f64 y (sqrt.f64 (/.f64 (pow.f64 z #s(literal -3 binary64)) (+.f64 x y)))))) #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 (+.f64 y x) z)) (*.f64 (*.f64 x y) (sqrt.f64 (/.f64 (pow.f64 z #s(literal -3 binary64)) (+.f64 y x))))) #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 z (fma.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 (+.f64 x y) z)) (*.f64 x (*.f64 y (sqrt.f64 (/.f64 (pow.f64 z #s(literal -3 binary64)) (+.f64 x y)))))))))
(expm1.f64 (log1p.f64 (*.f64 z (fma.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 (+.f64 y x) z)) (*.f64 (*.f64 x y) (sqrt.f64 (/.f64 (pow.f64 z #s(literal -3 binary64)) (+.f64 y x))))))))
(log1p.f64 (expm1.f64 (*.f64 z (fma.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 (+.f64 x y) z)) (*.f64 x (*.f64 y (sqrt.f64 (/.f64 (pow.f64 z #s(literal -3 binary64)) (+.f64 x y)))))))))
(*.f64 z (fma.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 (+.f64 y x) z)) (*.f64 (*.f64 x y) (sqrt.f64 (/.f64 (pow.f64 z #s(literal -3 binary64)) (+.f64 y x))))))
(exp.f64 (log.f64 (*.f64 z (fma.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 (+.f64 x y) z)) (*.f64 x (*.f64 y (sqrt.f64 (/.f64 (pow.f64 z #s(literal -3 binary64)) (+.f64 x y)))))))))
(*.f64 z (fma.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 (+.f64 y x) z)) (*.f64 (*.f64 x y) (sqrt.f64 (/.f64 (pow.f64 z #s(literal -3 binary64)) (+.f64 y x))))))
(exp.f64 (*.f64 (log.f64 (*.f64 z (fma.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 (+.f64 x y) z)) (*.f64 x (*.f64 y (sqrt.f64 (/.f64 (pow.f64 z #s(literal -3 binary64)) (+.f64 x y)))))))) #s(literal 1 binary64)))
(*.f64 z (fma.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 (+.f64 y x) z)) (*.f64 (*.f64 x y) (sqrt.f64 (/.f64 (pow.f64 z #s(literal -3 binary64)) (+.f64 y x))))))
(fma.f64 z (*.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 (+.f64 x y) z))) (*.f64 z (*.f64 x (*.f64 y (sqrt.f64 (/.f64 (pow.f64 z #s(literal -3 binary64)) (+.f64 x y)))))))
(*.f64 z (fma.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 (+.f64 y x) z)) (*.f64 (*.f64 x y) (sqrt.f64 (/.f64 (pow.f64 z #s(literal -3 binary64)) (+.f64 y x))))))
(fma.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 (+.f64 x y) z))) z (*.f64 (*.f64 x (*.f64 y (sqrt.f64 (/.f64 (pow.f64 z #s(literal -3 binary64)) (+.f64 x y))))) z))
(*.f64 z (fma.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 (+.f64 y x) z)) (*.f64 (*.f64 x y) (sqrt.f64 (/.f64 (pow.f64 z #s(literal -3 binary64)) (+.f64 y x))))))

eval281.0ms (1.9%)

Compiler

Compiled 53805 to 8110 computations (84.9% saved)

prune297.0ms (2%)

Pruning

38 alts after pruning (37 fresh and 1 done)

PrunedKeptTotal
New1510271537
Fresh101020
Picked415
Done000
Total1524381562
Accuracy
98.1%
Counts
1562 → 38
Alt Table
Click to see full alt table
StatusAccuracyProgram
37.3%
(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)) (*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 y x)))))
36.8%
(*.f64 z (+.f64 (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 z (+.f64 y x))))) (*.f64 (*.f64 x y) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 z #s(literal 3 binary64)) (+.f64 x y)))))))
40.5%
(*.f64 z (+.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 (+.f64 x y) z))) (*.f64 x (sqrt.f64 (/.f64 y (pow.f64 z #s(literal 3 binary64)))))))
38.6%
(*.f64 z (+.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 (+.f64 x y) z))) (log.f64 (pow.f64 (exp.f64 (sqrt.f64 (/.f64 (pow.f64 z #s(literal -3 binary64)) (+.f64 y x)))) (*.f64 x y)))))
32.1%
(*.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)))))))
32.7%
(*.f64 #s(literal 2 binary64) (pow.f64 (pow.f64 (*.f64 y z) #s(literal 1/4 binary64)) #s(literal 2 binary64)))
39.0%
(*.f64 #s(literal 2 binary64) (pow.f64 (pow.f64 (*.f64 x (+.f64 z y)) #s(literal 1/4 binary64)) #s(literal 2 binary64)))
3.4%
(*.f64 #s(literal 2 binary64) (pow.f64 (pow.f64 (*.f64 x z) #s(literal 1/4 binary64)) #s(literal 2 binary64)))
37.8%
(*.f64 #s(literal 2 binary64) (pow.f64 (pow.f64 (*.f64 x y) #s(literal 1/4 binary64)) #s(literal 2 binary64)))
40.5%
(*.f64 #s(literal 2 binary64) (pow.f64 (exp.f64 (*.f64 #s(literal 1/4 binary64) (+.f64 (log.f64 (+.f64 x z)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) y)))))) #s(literal 2 binary64)))
48.5%
(*.f64 #s(literal 2 binary64) (pow.f64 (exp.f64 (*.f64 #s(literal 1/4 binary64) (+.f64 (log.f64 (*.f64 #s(literal -1 binary64) (+.f64 x z))) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) y)))))) #s(literal 2 binary64)))
37.3%
(*.f64 #s(literal 2 binary64) (pow.f64 (cbrt.f64 (sqrt.f64 (*.f64 x y))) #s(literal 3 binary64)))
5.4%
(*.f64 #s(literal 2 binary64) (*.f64 (sqrt.f64 (+.f64 y (fma.f64 y (/.f64 z x) z))) (sqrt.f64 x)))
1.0%
(*.f64 #s(literal 2 binary64) (*.f64 (sqrt.f64 y) (sqrt.f64 x)))
37.6%
(*.f64 #s(literal 2 binary64) (*.f64 (cbrt.f64 (*.f64 x y)) (cbrt.f64 (sqrt.f64 (*.f64 x y)))))
35.3%
(*.f64 #s(literal 2 binary64) (*.f64 y (+.f64 (sqrt.f64 (/.f64 (+.f64 z x) y)) (*.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 z (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 y #s(literal 3 binary64)) (+.f64 z x))))))))))
32.1%
(*.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (*.f64 x y) (*.f64 z (pow.f64 (sqrt.f64 (+.f64 x y)) #s(literal 2 binary64))))))
68.3%
(*.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (*.f64 x y) (*.f64 z (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 y x)))))))
37.0%
(*.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (*.f64 x y) (*.f64 z (cbrt.f64 (pow.f64 (+.f64 x y) #s(literal 3 binary64)))))))
39.0%
(*.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (*.f64 x y) (*.f64 z x))))
45.4%
(*.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (*.f64 x y) (cbrt.f64 (pow.f64 (*.f64 z (+.f64 x y)) #s(literal 3 binary64))))))
34.0%
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 z (+.f64 y x))))
56.0%
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 z (+.f64 x (+.f64 y (/.f64 (*.f64 x y) z))))))
32.7%
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 z y)))
3.1%
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 z x)))
39.1%
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 x (+.f64 z y))))
21.3%
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 x (*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 y x))))))
50.0%
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 z x))))))
37.9%
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 x y)))
40.5%
(*.f64 #s(literal 2 binary64) (exp.f64 (*.f64 (+.f64 (log.f64 (+.f64 z x)) (neg.f64 (neg.f64 (log.f64 y)))) #s(literal 1/2 binary64))))
48.6%
(*.f64 #s(literal 2 binary64) (exp.f64 (*.f64 (+.f64 (log.f64 (neg.f64 (+.f64 z x))) (neg.f64 (log.f64 (/.f64 #s(literal -1 binary64) y)))) #s(literal 1/2 binary64))))
31.9%
(*.f64 #s(literal 2 binary64) (exp.f64 (*.f64 (log.f64 (*.f64 (neg.f64 z) (neg.f64 (+.f64 x y)))) #s(literal 1/2 binary64))))
30.7%
(*.f64 #s(literal 2 binary64) (exp.f64 (*.f64 (log.f64 (*.f64 y z)) #s(literal 1/2 binary64))))
3.1%
(*.f64 #s(literal 2 binary64) (exp.f64 (*.f64 (log.f64 (*.f64 x z)) #s(literal 1/2 binary64))))
35.5%
(*.f64 #s(literal 2 binary64) (exp.f64 (*.f64 (log.f64 (*.f64 x y)) #s(literal 1/2 binary64))))
28.5%
(*.f64 #s(literal 2 binary64) (cbrt.f64 (pow.f64 (*.f64 x y) #s(literal 3/2 binary64))))
36.1%
(expm1.f64 (log1p.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 x y)))))
Compiler

Compiled 1215 to 889 computations (26.8% saved)

simplify228.0ms (1.5%)

Algorithm
egg-herbie
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
cost-diff6592
(sqrt.f64 (+.f64 (*.f64 x y) (*.f64 z (pow.f64 (sqrt.f64 (+.f64 x y)) #s(literal 2 binary64)))))
cost-diff6592
(*.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (*.f64 x y) (*.f64 z (pow.f64 (sqrt.f64 (+.f64 x y)) #s(literal 2 binary64))))))
cost-diff12864
(pow.f64 (sqrt.f64 (+.f64 x y)) #s(literal 2 binary64))
cost-diff12864
(*.f64 z (pow.f64 (sqrt.f64 (+.f64 x y)) #s(literal 2 binary64)))
cost-diff0
(sqrt.f64 (/.f64 x y))
cost-diff0
(*.f64 x y)
cost-diff0
(sqrt.f64 (*.f64 x y))
cost-diff0
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 x y)))
cost-diff0
(*.f64 x y)
cost-diff0
(pow.f64 (*.f64 x y) #s(literal 3/2 binary64))
cost-diff0
(cbrt.f64 (pow.f64 (*.f64 x y) #s(literal 3/2 binary64)))
cost-diff0
(*.f64 #s(literal 2 binary64) (cbrt.f64 (pow.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-diff0
(+.f64 #s(literal 1 binary64) (/.f64 y x))
cost-diff0
(*.f64 x y)
cost-diff256
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 y x)))
cost-diff256
(*.f64 z (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 y x))))
Rules
1895×fma-define
897×associate-/r*
541×associate-/l/
532×associate-/r/
338×distribute-rgt-out
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
0411031
1831031
2165987
3400863
4740863
51242863
62344863
73573863
84202863
94329863
104384863
114426863
124476863
136298863
147819863
Stop Event
node limit
Calls
Call 1
Inputs
(*.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (*.f64 x y) (*.f64 z (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 y x)))))))
#s(literal 2 binary64)
(sqrt.f64 (+.f64 (*.f64 x y) (*.f64 z (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 y x))))))
(+.f64 (*.f64 x y) (*.f64 z (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 y x)))))
(*.f64 x y)
x
y
(*.f64 z (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 y x))))
z
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 y x)))
(+.f64 #s(literal 1 binary64) (/.f64 y x))
#s(literal 1 binary64)
(/.f64 y x)
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 z x)))
#s(literal 2 binary64)
(sqrt.f64 (*.f64 z x))
(*.f64 z x)
z
x
(*.f64 #s(literal 2 binary64) (cbrt.f64 (pow.f64 (*.f64 x y) #s(literal 3/2 binary64))))
#s(literal 2 binary64)
(cbrt.f64 (pow.f64 (*.f64 x y) #s(literal 3/2 binary64)))
(pow.f64 (*.f64 x y) #s(literal 3/2 binary64))
(*.f64 x y)
x
y
#s(literal 3/2 binary64)
(+.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 x y))) (*.f64 (sqrt.f64 (/.f64 x y)) (*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 y x)))))
(*.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 (sqrt.f64 (/.f64 x y)) (*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 y x))))
(sqrt.f64 (/.f64 x y))
(/.f64 x y)
(*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 y x)))
z
(+.f64 #s(literal 1 binary64) (/.f64 y x))
#s(literal 1 binary64)
(/.f64 y x)
(*.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (*.f64 x y) (*.f64 z (pow.f64 (sqrt.f64 (+.f64 x y)) #s(literal 2 binary64))))))
#s(literal 2 binary64)
(sqrt.f64 (+.f64 (*.f64 x y) (*.f64 z (pow.f64 (sqrt.f64 (+.f64 x y)) #s(literal 2 binary64)))))
(+.f64 (*.f64 x y) (*.f64 z (pow.f64 (sqrt.f64 (+.f64 x y)) #s(literal 2 binary64))))
(*.f64 x y)
x
y
(*.f64 z (pow.f64 (sqrt.f64 (+.f64 x y)) #s(literal 2 binary64)))
z
(pow.f64 (sqrt.f64 (+.f64 x y)) #s(literal 2 binary64))
(sqrt.f64 (+.f64 x y))
(+.f64 x y)
Outputs
(*.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (*.f64 x y) (*.f64 z (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 y x)))))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (fma.f64 x y (*.f64 z (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 y x)))))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 x (+.f64 y (fma.f64 z (/.f64 y x) z)))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (fma.f64 x y (*.f64 z (+.f64 x y)))))
#s(literal 2 binary64)
(sqrt.f64 (+.f64 (*.f64 x y) (*.f64 z (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 y x))))))
(sqrt.f64 (fma.f64 x y (*.f64 z (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 y x))))))
(sqrt.f64 (*.f64 x (+.f64 y (fma.f64 z (/.f64 y x) z))))
(sqrt.f64 (fma.f64 x y (*.f64 z (+.f64 x y))))
(+.f64 (*.f64 x y) (*.f64 z (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 y x)))))
(fma.f64 x y (*.f64 z (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 y x)))))
(*.f64 x (+.f64 y (fma.f64 z (/.f64 y x) z)))
(fma.f64 x y (*.f64 z (+.f64 x y)))
(*.f64 x y)
x
y
(*.f64 z (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 y x))))
(*.f64 x (fma.f64 z (/.f64 y x) z))
(*.f64 z (+.f64 x y))
z
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 y x)))
(fma.f64 x (/.f64 y x) x)
(+.f64 x y)
(+.f64 #s(literal 1 binary64) (/.f64 y x))
#s(literal 1 binary64)
(/.f64 y 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) (cbrt.f64 (pow.f64 (*.f64 x y) #s(literal 3/2 binary64))))
#s(literal 2 binary64)
(cbrt.f64 (pow.f64 (*.f64 x y) #s(literal 3/2 binary64)))
(pow.f64 (*.f64 x y) #s(literal 3/2 binary64))
(*.f64 x y)
x
y
#s(literal 3/2 binary64)
(+.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 x y))) (*.f64 (sqrt.f64 (/.f64 x y)) (*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 y x)))))
(fma.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 x y)) (*.f64 (sqrt.f64 (/.f64 x y)) (*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 y x)))))
(fma.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 x y)) (*.f64 z (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 y x)) (sqrt.f64 (/.f64 x y)))))
(fma.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 x y)) (*.f64 (sqrt.f64 (/.f64 x y)) (fma.f64 z (/.f64 y x) z)))
(fma.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 x y)) (*.f64 (sqrt.f64 (/.f64 x y)) (fma.f64 y (/.f64 z x) z)))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 x y)))
#s(literal 2 binary64)
(sqrt.f64 (*.f64 x y))
(*.f64 x y)
x
y
(*.f64 (sqrt.f64 (/.f64 x y)) (*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 y x))))
(*.f64 z (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 y x)) (sqrt.f64 (/.f64 x y))))
(*.f64 (sqrt.f64 (/.f64 x y)) (fma.f64 z (/.f64 y x) z))
(*.f64 (sqrt.f64 (/.f64 x y)) (fma.f64 y (/.f64 z x) z))
(sqrt.f64 (/.f64 x y))
(/.f64 x y)
(*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 y x)))
(fma.f64 z (/.f64 y x) z)
(fma.f64 y (/.f64 z x) z)
z
(+.f64 #s(literal 1 binary64) (/.f64 y x))
#s(literal 1 binary64)
(/.f64 y x)
(*.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (*.f64 x y) (*.f64 z (pow.f64 (sqrt.f64 (+.f64 x y)) #s(literal 2 binary64))))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (fma.f64 x y (*.f64 z (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 y x)))))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 x (+.f64 y (fma.f64 z (/.f64 y x) z)))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (fma.f64 x y (*.f64 z (+.f64 x y)))))
#s(literal 2 binary64)
(sqrt.f64 (+.f64 (*.f64 x y) (*.f64 z (pow.f64 (sqrt.f64 (+.f64 x y)) #s(literal 2 binary64)))))
(sqrt.f64 (fma.f64 x y (*.f64 z (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 y x))))))
(sqrt.f64 (*.f64 x (+.f64 y (fma.f64 z (/.f64 y x) z))))
(sqrt.f64 (fma.f64 x y (*.f64 z (+.f64 x y))))
(+.f64 (*.f64 x y) (*.f64 z (pow.f64 (sqrt.f64 (+.f64 x y)) #s(literal 2 binary64))))
(fma.f64 x y (*.f64 z (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 y x)))))
(*.f64 x (+.f64 y (fma.f64 z (/.f64 y x) z)))
(fma.f64 x y (*.f64 z (+.f64 x y)))
(*.f64 x y)
x
y
(*.f64 z (pow.f64 (sqrt.f64 (+.f64 x y)) #s(literal 2 binary64)))
(*.f64 z (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 y x))))
(*.f64 x (fma.f64 z (/.f64 y x) z))
(*.f64 z (+.f64 x y))
z
(pow.f64 (sqrt.f64 (+.f64 x y)) #s(literal 2 binary64))
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 y x)))
(fma.f64 x (/.f64 y x) x)
(+.f64 x y)
(sqrt.f64 (+.f64 x y))
(+.f64 x y)
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 y x)))
(fma.f64 x (/.f64 y x) x)

localize253.0ms (1.7%)

Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(*.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (*.f64 x y) (*.f64 z (pow.f64 (sqrt.f64 (+.f64 x y)) #s(literal 2 binary64))))))
accuracy100.0%
(sqrt.f64 (+.f64 x y))
accuracy99.8%
(pow.f64 (sqrt.f64 (+.f64 x y)) #s(literal 2 binary64))
accuracy92.2%
(sqrt.f64 (+.f64 (*.f64 x y) (*.f64 z (pow.f64 (sqrt.f64 (+.f64 x y)) #s(literal 2 binary64)))))
accuracy100.0%
(*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 y x)))
accuracy97.7%
(sqrt.f64 (/.f64 x y))
accuracy96.1%
(sqrt.f64 (*.f64 x y))
accuracy93.9%
(*.f64 (sqrt.f64 (/.f64 x y)) (*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 y x))))
accuracy100.0%
(*.f64 x y)
accuracy100.0%
(*.f64 #s(literal 2 binary64) (cbrt.f64 (pow.f64 (*.f64 x y) #s(literal 3/2 binary64))))
accuracy99.9%
(pow.f64 (*.f64 x y) #s(literal 3/2 binary64))
accuracy92.1%
(cbrt.f64 (pow.f64 (*.f64 x y) #s(literal 3/2 binary64)))
accuracy100.0%
(*.f64 z x)
accuracy100.0%
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 z x)))
accuracy98.1%
(sqrt.f64 (*.f64 z x))
accuracy100.0%
(*.f64 x y)
accuracy100.0%
(*.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (*.f64 x y) (*.f64 z (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 y x)))))))
accuracy97.4%
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 y x)))
accuracy92.2%
(sqrt.f64 (+.f64 (*.f64 x y) (*.f64 z (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 y x))))))
Results
157.0ms203×0invalid
22.0ms53×0valid
Compiler

Compiled 260 to 35 computations (86.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 56.0ms
ival-mult: 21.0ms (37.7% of total)
ival-sqrt: 11.0ms (19.7% of total)
ival-pow: 9.0ms (16.1% of total)
ival-add: 7.0ms (12.6% of total)
ival-div: 5.0ms (9% of total)
ival-cbrt: 2.0ms (3.6% of total)
const: 1.0ms (1.8% of total)
backward-pass: 0.0ms (0% of total)

series179.0ms (1.2%)

Counts
19 → 500
Calls
Call 1
Inputs
#<alt (*.f64 z (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 y x))))>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 y x)))>
#<alt (+.f64 #s(literal 1 binary64) (/.f64 y x))>
#<alt (*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 z x)))>
#<alt (sqrt.f64 (*.f64 z x))>
#<alt (*.f64 z x)>
#<alt (*.f64 #s(literal 2 binary64) (cbrt.f64 (pow.f64 (*.f64 x y) #s(literal 3/2 binary64))))>
#<alt (cbrt.f64 (pow.f64 (*.f64 x y) #s(literal 3/2 binary64)))>
#<alt (pow.f64 (*.f64 x y) #s(literal 3/2 binary64))>
#<alt (sqrt.f64 (/.f64 x y))>
#<alt (*.f64 z (pow.f64 (sqrt.f64 (+.f64 x y)) #s(literal 2 binary64)))>
#<alt (pow.f64 (sqrt.f64 (+.f64 x y)) #s(literal 2 binary64))>
#<alt (*.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (*.f64 x y) (*.f64 z (pow.f64 (sqrt.f64 (+.f64 x y)) #s(literal 2 binary64))))))>
#<alt (sqrt.f64 (+.f64 (*.f64 x y) (*.f64 z (pow.f64 (sqrt.f64 (+.f64 x y)) #s(literal 2 binary64)))))>
#<alt (sqrt.f64 (+.f64 (*.f64 x y) (*.f64 z (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 y x))))))>
#<alt (*.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (*.f64 x y) (*.f64 z (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 y x)))))))>
#<alt (*.f64 (sqrt.f64 (/.f64 x y)) (*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 y x))))>
#<alt (*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 y x)))>
#<alt (sqrt.f64 (+.f64 x y))>
Outputs
#<alt (*.f64 x (*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 y x))))>
#<alt (*.f64 x (*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 y x))))>
#<alt (*.f64 x (*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 y x))))>
#<alt (*.f64 x (*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 y x))))>
#<alt (*.f64 x (*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 y x))))>
#<alt (*.f64 x (*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 y x))))>
#<alt (*.f64 x (*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 y x))))>
#<alt (*.f64 x (*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 y x))))>
#<alt (*.f64 x (*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 y x))))>
#<alt (*.f64 x (*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 y x))))>
#<alt (*.f64 x (*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 y x))))>
#<alt (*.f64 x (*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 y x))))>
#<alt (*.f64 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 (*.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 y>
#<alt (+.f64 x y)>
#<alt (+.f64 x y)>
#<alt (+.f64 x y)>
#<alt 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 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 #s(literal 1 binary64)>
#<alt (/.f64 y x)>
#<alt (*.f64 y (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) y)))>
#<alt (*.f64 y (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) y)))>
#<alt (*.f64 y (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) y)))>
#<alt (/.f64 y x)>
#<alt (*.f64 y (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) y)))>
#<alt (*.f64 y (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) y)))>
#<alt (*.f64 y (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) y)))>
#<alt (/.f64 y x)>
#<alt (/.f64 (+.f64 x y) x)>
#<alt (/.f64 (+.f64 x y) x)>
#<alt (/.f64 (+.f64 x y) x)>
#<alt #s(literal 1 binary64)>
#<alt #s(literal 1 binary64)>
#<alt (*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 x z)))>
#<alt (*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 x z)))>
#<alt (*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 x z)))>
#<alt (*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 x z)))>
#<alt (*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 x z)))>
#<alt (*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 x z)))>
#<alt (*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 x z)))>
#<alt (*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 x z)))>
#<alt (*.f64 #s(literal -2 binary64) (*.f64 (sqrt.f64 (*.f64 x z)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal -2 binary64) (*.f64 (sqrt.f64 (*.f64 x z)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal -2 binary64) (*.f64 (sqrt.f64 (*.f64 x z)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal -2 binary64) (*.f64 (sqrt.f64 (*.f64 x z)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 x z)))>
#<alt (*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 x z)))>
#<alt (*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 x z)))>
#<alt (*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 x z)))>
#<alt (*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 x z)))>
#<alt (*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 x z)))>
#<alt (*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 x z)))>
#<alt (*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 x z)))>
#<alt (*.f64 #s(literal -2 binary64) (*.f64 (sqrt.f64 (*.f64 x z)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal -2 binary64) (*.f64 (sqrt.f64 (*.f64 x z)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal -2 binary64) (*.f64 (sqrt.f64 (*.f64 x z)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal -2 binary64) (*.f64 (sqrt.f64 (*.f64 x z)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))>
#<alt (sqrt.f64 (*.f64 x z))>
#<alt (sqrt.f64 (*.f64 x z))>
#<alt (sqrt.f64 (*.f64 x z))>
#<alt (sqrt.f64 (*.f64 x z))>
#<alt (sqrt.f64 (*.f64 x z))>
#<alt (sqrt.f64 (*.f64 x z))>
#<alt (sqrt.f64 (*.f64 x z))>
#<alt (sqrt.f64 (*.f64 x z))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 (*.f64 x z)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 (*.f64 x z)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 (*.f64 x z)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 (*.f64 x z)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))>
#<alt (sqrt.f64 (*.f64 x z))>
#<alt (sqrt.f64 (*.f64 x z))>
#<alt (sqrt.f64 (*.f64 x z))>
#<alt (sqrt.f64 (*.f64 x z))>
#<alt (sqrt.f64 (*.f64 x z))>
#<alt (sqrt.f64 (*.f64 x z))>
#<alt (sqrt.f64 (*.f64 x z))>
#<alt (sqrt.f64 (*.f64 x z))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 (*.f64 x z)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 (*.f64 x z)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 (*.f64 x z)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 (*.f64 x z)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))>
#<alt (*.f64 x z)>
#<alt (*.f64 x z)>
#<alt (*.f64 x z)>
#<alt (*.f64 x z)>
#<alt (*.f64 x z)>
#<alt (*.f64 x z)>
#<alt (*.f64 x z)>
#<alt (*.f64 x z)>
#<alt (*.f64 x z)>
#<alt (*.f64 x z)>
#<alt (*.f64 x z)>
#<alt (*.f64 x z)>
#<alt (*.f64 x z)>
#<alt (*.f64 x z)>
#<alt (*.f64 x z)>
#<alt (*.f64 x z)>
#<alt (*.f64 x z)>
#<alt (*.f64 x z)>
#<alt (*.f64 x z)>
#<alt (*.f64 x z)>
#<alt (*.f64 x z)>
#<alt (*.f64 x z)>
#<alt (*.f64 x z)>
#<alt (*.f64 x z)>
#<alt (*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 x y)))>
#<alt (*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 x y)))>
#<alt (*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 x y)))>
#<alt (*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 x y)))>
#<alt (*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 x y)))>
#<alt (*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 x y)))>
#<alt (*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 x y)))>
#<alt (*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 x y)))>
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#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal 2 binary64) (*.f64 (sqrt.f64 (/.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 y x))) z)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))) (*.f64 (sqrt.f64 (/.f64 x (*.f64 (pow.f64 z #s(literal 3 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 y x))))) y))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 (sqrt.f64 (/.f64 x (*.f64 (pow.f64 z #s(literal 5 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 y x)) #s(literal 3 binary64))))) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))) (+.f64 (*.f64 #s(literal 2 binary64) (*.f64 (sqrt.f64 (/.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 y x))) z)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))) (*.f64 (sqrt.f64 (/.f64 x (*.f64 (pow.f64 z #s(literal 3 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 y x))))) y)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 (sqrt.f64 (/.f64 x (*.f64 (pow.f64 z #s(literal 5 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 y x)) #s(literal 3 binary64))))) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))) (+.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 (sqrt.f64 (/.f64 x (*.f64 (pow.f64 z #s(literal 7 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 y x)) #s(literal 5 binary64))))) (/.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64))))) (+.f64 (*.f64 #s(literal 2 binary64) (*.f64 (sqrt.f64 (/.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 y x))) z)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))) (*.f64 (sqrt.f64 (/.f64 x (*.f64 (pow.f64 z #s(literal 3 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 y x))))) y))))))>
#<alt (*.f64 (sqrt.f64 (/.f64 y x)) z)>
#<alt (/.f64 (+.f64 (*.f64 (sqrt.f64 (*.f64 x y)) z) (*.f64 (sqrt.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) y)) z)) x)>
#<alt (/.f64 (+.f64 (*.f64 (sqrt.f64 (*.f64 x y)) z) (*.f64 (sqrt.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) y)) z)) x)>
#<alt (/.f64 (+.f64 (*.f64 (sqrt.f64 (*.f64 x y)) z) (*.f64 (sqrt.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) y)) z)) x)>
#<alt (*.f64 (sqrt.f64 (/.f64 x y)) z)>
#<alt (*.f64 x (+.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x y))) z) (*.f64 (sqrt.f64 (/.f64 y (pow.f64 x #s(literal 3 binary64)))) z)))>
#<alt (*.f64 x (+.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x y))) z) (*.f64 (sqrt.f64 (/.f64 y (pow.f64 x #s(literal 3 binary64)))) z)))>
#<alt (*.f64 x (+.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x y))) z) (*.f64 (sqrt.f64 (/.f64 y (pow.f64 x #s(literal 3 binary64)))) z)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 (/.f64 x y)) (*.f64 z (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x y))) (*.f64 z (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))) (*.f64 (sqrt.f64 (/.f64 y (pow.f64 x #s(literal 3 binary64)))) (*.f64 z (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x y))) (*.f64 z (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))) (*.f64 (sqrt.f64 (/.f64 y (pow.f64 x #s(literal 3 binary64)))) (*.f64 z (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x y))) (*.f64 z (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))) (*.f64 (sqrt.f64 (/.f64 y (pow.f64 x #s(literal 3 binary64)))) (*.f64 z (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))))>
#<alt (*.f64 (sqrt.f64 (/.f64 x y)) z)>
#<alt (/.f64 (+.f64 (*.f64 (sqrt.f64 (*.f64 x y)) z) (*.f64 (sqrt.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) x)) z)) y)>
#<alt (/.f64 (+.f64 (*.f64 (sqrt.f64 (*.f64 x y)) z) (*.f64 (sqrt.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) x)) z)) y)>
#<alt (/.f64 (+.f64 (*.f64 (sqrt.f64 (*.f64 x y)) z) (*.f64 (sqrt.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) x)) z)) y)>
#<alt (*.f64 (sqrt.f64 (/.f64 y x)) z)>
#<alt (*.f64 y (+.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x y))) z) (*.f64 (sqrt.f64 (/.f64 x (pow.f64 y #s(literal 3 binary64)))) z)))>
#<alt (*.f64 y (+.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x y))) z) (*.f64 (sqrt.f64 (/.f64 x (pow.f64 y #s(literal 3 binary64)))) z)))>
#<alt (*.f64 y (+.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x y))) z) (*.f64 (sqrt.f64 (/.f64 x (pow.f64 y #s(literal 3 binary64)))) z)))>
#<alt (*.f64 (sqrt.f64 (/.f64 y x)) (*.f64 z (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x y))) (*.f64 z (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))) (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 (/.f64 x (pow.f64 y #s(literal 3 binary64)))) (*.f64 z (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x y))) (*.f64 z (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))) (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 (/.f64 x (pow.f64 y #s(literal 3 binary64)))) (*.f64 z (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x y))) (*.f64 z (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))) (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 (/.f64 x (pow.f64 y #s(literal 3 binary64)))) (*.f64 z (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))))))>
#<alt z>
#<alt (+.f64 z (/.f64 (*.f64 y z) x))>
#<alt (+.f64 z (/.f64 (*.f64 y z) x))>
#<alt (+.f64 z (/.f64 (*.f64 y z) x))>
#<alt (/.f64 (*.f64 y z) x)>
#<alt (*.f64 y (+.f64 (/.f64 z x) (/.f64 z y)))>
#<alt (*.f64 y (+.f64 (/.f64 z x) (/.f64 z y)))>
#<alt (*.f64 y (+.f64 (/.f64 z x) (/.f64 z y)))>
#<alt (/.f64 (*.f64 y z) x)>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 z x)) (*.f64 #s(literal -1 binary64) (/.f64 z y)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 z x)) (*.f64 #s(literal -1 binary64) (/.f64 z y)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 z x)) (*.f64 #s(literal -1 binary64) (/.f64 z y)))))>
#<alt (/.f64 (*.f64 y z) x)>
#<alt (/.f64 (+.f64 (*.f64 x z) (*.f64 y z)) x)>
#<alt (/.f64 (+.f64 (*.f64 x z) (*.f64 y z)) x)>
#<alt (/.f64 (+.f64 (*.f64 x z) (*.f64 y z)) x)>
#<alt z>
#<alt (+.f64 z (/.f64 (*.f64 y z) x))>
#<alt (+.f64 z (/.f64 (*.f64 y z) x))>
#<alt (+.f64 z (/.f64 (*.f64 y z) x))>
#<alt z>
#<alt (+.f64 z (/.f64 (*.f64 y z) x))>
#<alt (+.f64 z (/.f64 (*.f64 y z) x))>
#<alt (+.f64 z (/.f64 (*.f64 y z) x))>
#<alt (sqrt.f64 y)>
#<alt (+.f64 (sqrt.f64 y) (*.f64 #s(literal 1/2 binary64) (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) y)))))>
#<alt (+.f64 (sqrt.f64 y) (*.f64 x (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) y))))))>
#<alt (+.f64 (sqrt.f64 y) (*.f64 x (+.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) y))) (*.f64 x (+.f64 (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))))) (*.f64 #s(literal 1/16 binary64) (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 5 binary64)))))))))))>
#<alt (sqrt.f64 x)>
#<alt (*.f64 x (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) y))))>
#<alt (*.f64 x (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (pow.f64 y #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) y)))))>
#<alt (*.f64 x (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (pow.f64 y #s(literal 2 binary64)))) (+.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 7 binary64)))) (pow.f64 y #s(literal 3 binary64)))) (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) y))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 x) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) y)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))) (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) y)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))) (+.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 7 binary64)))) (/.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64))))) (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) y)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))))))>
#<alt (sqrt.f64 x)>
#<alt (+.f64 (sqrt.f64 x) (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y)))>
#<alt (+.f64 (sqrt.f64 x) (*.f64 y (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) y)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))))>
#<alt (+.f64 (sqrt.f64 x) (*.f64 y (+.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (*.f64 y (+.f64 (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))))) (*.f64 #s(literal 1/16 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) y)))))))>
#<alt (sqrt.f64 y)>
#<alt (*.f64 y (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (*.f64 #s(literal 1/2 binary64) (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))))))))>
#<alt (*.f64 y (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 5 binary64)))))) (*.f64 #s(literal 1/2 binary64) (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))))))))>
#<alt (*.f64 y (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 5 binary64)))))) (+.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 7 binary64)))))) (*.f64 #s(literal 1/2 binary64) (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))))))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 y) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 5 binary64)))))) (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 5 binary64)))))) (+.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 7 binary64)))))) (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))))))>
Calls

138 calls:

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

rewrite259.0ms (1.7%)

Algorithm
batch-egg-rewrite
Rules
297×associate-*r*
277×add-cube-cbrt
275×log1p-expm1-u
275×expm1-log1p-u
271×add-exp-log
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
038557
1644545
Stop Event
node limit
Counts
19 → 425
Calls
Call 1
Inputs
(*.f64 z (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 y x))))
(*.f64 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 z x)))
(sqrt.f64 (*.f64 z x))
(*.f64 z x)
(*.f64 #s(literal 2 binary64) (cbrt.f64 (pow.f64 (*.f64 x y) #s(literal 3/2 binary64))))
(cbrt.f64 (pow.f64 (*.f64 x y) #s(literal 3/2 binary64)))
(pow.f64 (*.f64 x y) #s(literal 3/2 binary64))
(sqrt.f64 (/.f64 x y))
(*.f64 z (pow.f64 (sqrt.f64 (+.f64 x y)) #s(literal 2 binary64)))
(pow.f64 (sqrt.f64 (+.f64 x y)) #s(literal 2 binary64))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (*.f64 x y) (*.f64 z (pow.f64 (sqrt.f64 (+.f64 x y)) #s(literal 2 binary64))))))
(sqrt.f64 (+.f64 (*.f64 x y) (*.f64 z (pow.f64 (sqrt.f64 (+.f64 x y)) #s(literal 2 binary64)))))
(sqrt.f64 (+.f64 (*.f64 x y) (*.f64 z (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 y x))))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (*.f64 x y) (*.f64 z (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 y x)))))))
(*.f64 (sqrt.f64 (/.f64 x y)) (*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 y x))))
(*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 y x)))
(sqrt.f64 (+.f64 x y))
Outputs
(+.f64 (*.f64 z x) (*.f64 z (*.f64 (/.f64 y x) x)))
(+.f64 (*.f64 z x) (*.f64 z (*.f64 x (/.f64 y x))))
(+.f64 (*.f64 z x) (*.f64 (*.f64 (/.f64 y x) x) z))
(+.f64 (*.f64 z x) (*.f64 (*.f64 x (/.f64 y x)) z))
(+.f64 (*.f64 z x) (*.f64 (/.f64 y x) (*.f64 z x)))
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(+.f64 (*.f64 z (sqrt.f64 (/.f64 x y))) (*.f64 (*.f64 z (/.f64 y x)) (sqrt.f64 (/.f64 x y))))
(+.f64 (*.f64 (/.f64 y x) (*.f64 (sqrt.f64 (/.f64 x y)) z)) (*.f64 (sqrt.f64 (/.f64 x y)) z))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (sqrt.f64 (/.f64 x y)) (*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 y x)))))) #s(literal 1 binary64))
(pow.f64 (*.f64 (sqrt.f64 (/.f64 x y)) (*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 y x)))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 (sqrt.f64 (/.f64 x y)) (*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 y x))))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 (sqrt.f64 (/.f64 x y)) (*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 y x)))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 (sqrt.f64 (/.f64 x y)) (*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 y x))))) #s(literal 2 binary64))
(sqrt.f64 (*.f64 (/.f64 x y) (pow.f64 (*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 y x))) #s(literal 2 binary64))))
(log.f64 (pow.f64 (exp.f64 (sqrt.f64 (/.f64 x y))) (*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 y x)))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (sqrt.f64 (/.f64 x y)) (*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 y x)))))))
(cbrt.f64 (pow.f64 (*.f64 (sqrt.f64 (/.f64 x y)) (*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 y x)))) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 x y) #s(literal 3/2 binary64)) (pow.f64 (*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 y x))) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 y x))) #s(literal 3 binary64)) (pow.f64 (/.f64 x y) #s(literal 3/2 binary64))))
(expm1.f64 (log1p.f64 (*.f64 (sqrt.f64 (/.f64 x y)) (*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 y x))))))
(log1p.f64 (expm1.f64 (*.f64 (sqrt.f64 (/.f64 x y)) (*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 y x))))))
(exp.f64 (+.f64 (log.f64 (*.f64 (sqrt.f64 (/.f64 x y)) z)) (log1p.f64 (/.f64 y x))))
(exp.f64 (*.f64 (+.f64 (log.f64 (*.f64 (sqrt.f64 (/.f64 x y)) z)) (log1p.f64 (/.f64 y x))) #s(literal 1 binary64)))
(+.f64 z (*.f64 z (/.f64 y x)))
(+.f64 z (*.f64 (/.f64 y x) z))
(+.f64 z (*.f64 (*.f64 (/.f64 y x) z) #s(literal 1 binary64)))
(+.f64 z (*.f64 (*.f64 z (/.f64 y x)) #s(literal 1 binary64)))
(+.f64 (*.f64 z (/.f64 y x)) z)
(+.f64 (*.f64 (/.f64 y x) z) z)
(-.f64 (exp.f64 (log1p.f64 (*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 y x))))) #s(literal 1 binary64))
(/.f64 (+.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 (*.f64 (/.f64 y x) z) #s(literal 3 binary64))) (+.f64 (pow.f64 z #s(literal 2 binary64)) (-.f64 (*.f64 (*.f64 (/.f64 y x) z) (*.f64 (/.f64 y x) z)) (*.f64 z (*.f64 (/.f64 y x) z)))))
(/.f64 (+.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 (*.f64 z (/.f64 y x)) #s(literal 3 binary64))) (+.f64 (pow.f64 z #s(literal 2 binary64)) (-.f64 (*.f64 (*.f64 z (/.f64 y x)) (*.f64 z (/.f64 y x))) (*.f64 z (*.f64 z (/.f64 y x))))))
(/.f64 (-.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 (*.f64 (/.f64 y x) z) (*.f64 (/.f64 y x) z))) (-.f64 z (*.f64 (/.f64 y x) z)))
(/.f64 (-.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 (*.f64 z (/.f64 y x)) (*.f64 z (/.f64 y x)))) (-.f64 z (*.f64 z (/.f64 y x))))
(pow.f64 (*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 y x))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 y x)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 y x))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 y x)))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 y x))) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 (+.f64 #s(literal 1 binary64) (/.f64 y x))) z))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 y x))))))
(cbrt.f64 (pow.f64 (*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 y x))) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 y x)) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 y x)) #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 y x)))))
(log1p.f64 (expm1.f64 (*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 y x)))))
(exp.f64 (+.f64 (log1p.f64 (/.f64 y x)) (log.f64 z)))
(exp.f64 (*.f64 (+.f64 (log1p.f64 (/.f64 y x)) (log.f64 z)) #s(literal 1 binary64)))
(fma.f64 z #s(literal 1 binary64) (*.f64 z (/.f64 y x)))
(fma.f64 #s(literal 1 binary64) z (*.f64 (/.f64 y x) z))
(fma.f64 (cbrt.f64 (pow.f64 z #s(literal 2 binary64))) (cbrt.f64 z) (*.f64 (/.f64 y x) z))
(fma.f64 (sqrt.f64 z) (sqrt.f64 z) (*.f64 (/.f64 y x) z))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (+.f64 x y)))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x y)))
(*.f64 (cbrt.f64 (+.f64 x y)) (cbrt.f64 (sqrt.f64 (+.f64 x y))))
(*.f64 (pow.f64 (+.f64 x y) #s(literal 1/4 binary64)) (pow.f64 (+.f64 x y) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/2 binary64)) (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 (cbrt.f64 (+.f64 x y)) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 x y)) #s(literal 2 binary64))) (sqrt.f64 (cbrt.f64 (+.f64 x y))))
(/.f64 (sqrt.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (sqrt.f64 (fma.f64 x x (*.f64 y (-.f64 y x)))))
(/.f64 (sqrt.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))) (sqrt.f64 (-.f64 x y)))
(pow.f64 (sqrt.f64 (+.f64 x y)) #s(literal 1 binary64))
(pow.f64 (+.f64 x y) #s(literal 1/2 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))
(fabs.f64 (sqrt.f64 (+.f64 x y)))
(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))))
(hypot.f64 (sqrt.f64 x) (sqrt.f64 y))
(hypot.f64 (sqrt.f64 y) (sqrt.f64 x))
(log1p.f64 (expm1.f64 (sqrt.f64 (+.f64 x y))))
(exp.f64 (log.f64 (sqrt.f64 (+.f64 x y))))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 x y))) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (+.f64 x y)) #s(literal 1/2 binary64)))

simplify639.0ms (4.3%)

Algorithm
egg-herbie
Rules
651×distribute-lft-in
645×distribute-rgt-in
513×*-commutative
330×associate-+r+
224×+-commutative
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0161647987
1434846015
Stop Event
node limit
Counts
925 → 859
Calls
Call 1
Inputs
(*.f64 x (*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 y x))))
(*.f64 x (*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 y x))))
(*.f64 x (*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 y x))))
(*.f64 x (*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 y x))))
(*.f64 x (*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 y x))))
(*.f64 x (*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 y x))))
(*.f64 x (*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 y x))))
(*.f64 x (*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 y x))))
(*.f64 x (*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 y x))))
(*.f64 x (*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 y x))))
(*.f64 x (*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 y x))))
(*.f64 x (*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 y x))))
(*.f64 y z)
(+.f64 (*.f64 x z) (*.f64 y z))
(+.f64 (*.f64 x z) (*.f64 y z))
(+.f64 (*.f64 x z) (*.f64 y z))
(*.f64 x z)
(*.f64 x (+.f64 z (/.f64 (*.f64 y z) x)))
(*.f64 x (+.f64 z (/.f64 (*.f64 y z) x)))
(*.f64 x (+.f64 z (/.f64 (*.f64 y z) x)))
(*.f64 x z)
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) z) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 y z) x)))))
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) z) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 y z) x)))))
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) z) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 y z) x)))))
(*.f64 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)))))
y
(+.f64 x y)
(+.f64 x y)
(+.f64 x 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))))
x
(+.f64 x y)
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(+.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))))
#s(literal 1 binary64)
(/.f64 y x)
(*.f64 y (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) y)))
(*.f64 y (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) y)))
(*.f64 y (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) y)))
(/.f64 y x)
(*.f64 y (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) y)))
(*.f64 y (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) y)))
(*.f64 y (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) y)))
(/.f64 y x)
(/.f64 (+.f64 x y) x)
(/.f64 (+.f64 x y) x)
(/.f64 (+.f64 x y) x)
#s(literal 1 binary64)
#s(literal 1 binary64)
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 x z)))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 x z)))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 x z)))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 x z)))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 x z)))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 x z)))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 x z)))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 x z)))
(*.f64 #s(literal -2 binary64) (*.f64 (sqrt.f64 (*.f64 x z)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))
(*.f64 #s(literal -2 binary64) (*.f64 (sqrt.f64 (*.f64 x z)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))
(*.f64 #s(literal -2 binary64) (*.f64 (sqrt.f64 (*.f64 x z)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))
(*.f64 #s(literal -2 binary64) (*.f64 (sqrt.f64 (*.f64 x z)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 x z)))
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(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 x z)))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 x z)))
(*.f64 #s(literal -2 binary64) (*.f64 (sqrt.f64 (*.f64 x z)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))
(*.f64 #s(literal -2 binary64) (*.f64 (sqrt.f64 (*.f64 x z)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))
(*.f64 #s(literal -2 binary64) (*.f64 (sqrt.f64 (*.f64 x z)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))
(*.f64 #s(literal -2 binary64) (*.f64 (sqrt.f64 (*.f64 x z)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))
(sqrt.f64 (*.f64 x z))
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(sqrt.f64 (*.f64 x z))
(sqrt.f64 (*.f64 x z))
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(sqrt.f64 (*.f64 x z))
(*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 (*.f64 x z)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))
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(*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 (*.f64 x z)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 (*.f64 x z)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))
(sqrt.f64 (*.f64 x z))
(sqrt.f64 (*.f64 x z))
(sqrt.f64 (*.f64 x z))
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(sqrt.f64 (*.f64 x z))
(sqrt.f64 (*.f64 x z))
(sqrt.f64 (*.f64 x z))
(sqrt.f64 (*.f64 x z))
(*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 (*.f64 x z)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 (*.f64 x z)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 (*.f64 x z)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 (*.f64 x z)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))
(*.f64 x z)
(*.f64 x z)
(*.f64 x z)
(*.f64 x z)
(*.f64 x z)
(*.f64 x z)
(*.f64 x z)
(*.f64 x z)
(*.f64 x z)
(*.f64 x z)
(*.f64 x z)
(*.f64 x z)
(*.f64 x z)
(*.f64 x z)
(*.f64 x z)
(*.f64 x z)
(*.f64 x z)
(*.f64 x z)
(*.f64 x z)
(*.f64 x z)
(*.f64 x z)
(*.f64 x z)
(*.f64 x z)
(*.f64 x z)
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 x y)))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 x y)))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 x y)))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 x y)))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 x y)))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 x y)))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 x y)))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 x y)))
(*.f64 #s(literal -2 binary64) (*.f64 (sqrt.f64 (*.f64 x y)) (cbrt.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64)))))
(*.f64 #s(literal -2 binary64) (*.f64 (sqrt.f64 (*.f64 x y)) (cbrt.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64)))))
(*.f64 #s(literal -2 binary64) (*.f64 (sqrt.f64 (*.f64 x y)) (cbrt.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64)))))
(*.f64 #s(literal -2 binary64) (*.f64 (sqrt.f64 (*.f64 x y)) (cbrt.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64)))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 x y)))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 x y)))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 x y)))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 x y)))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 x y)))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 x y)))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 x y)))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 x y)))
(*.f64 #s(literal -2 binary64) (*.f64 (sqrt.f64 (*.f64 x y)) (cbrt.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64)))))
(*.f64 #s(literal -2 binary64) (*.f64 (sqrt.f64 (*.f64 x y)) (cbrt.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64)))))
(*.f64 #s(literal -2 binary64) (*.f64 (sqrt.f64 (*.f64 x y)) (cbrt.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64)))))
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(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 x y)) #s(literal 2 binary64)) #s(literal 1/2 binary64)) (pow.f64 (cbrt.f64 (+.f64 x y)) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 x y)) #s(literal 2 binary64))) (sqrt.f64 (cbrt.f64 (+.f64 x y))))
(/.f64 (sqrt.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (sqrt.f64 (fma.f64 x x (*.f64 y (-.f64 y x)))))
(/.f64 (sqrt.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))) (sqrt.f64 (-.f64 x y)))
(pow.f64 (sqrt.f64 (+.f64 x y)) #s(literal 1 binary64))
(pow.f64 (+.f64 x y) #s(literal 1/2 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))
(fabs.f64 (sqrt.f64 (+.f64 x y)))
(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))))
(hypot.f64 (sqrt.f64 x) (sqrt.f64 y))
(hypot.f64 (sqrt.f64 y) (sqrt.f64 x))
(log1p.f64 (expm1.f64 (sqrt.f64 (+.f64 x y))))
(exp.f64 (log.f64 (sqrt.f64 (+.f64 x y))))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 x y))) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (+.f64 x y)) #s(literal 1/2 binary64)))
Outputs
(*.f64 x (*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 y x))))
(*.f64 x (fma.f64 z (/.f64 y x) z))
(*.f64 x (*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 y x))))
(*.f64 x (fma.f64 z (/.f64 y x) z))
(*.f64 x (*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 y x))))
(*.f64 x (fma.f64 z (/.f64 y x) z))
(*.f64 x (*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 y x))))
(*.f64 x (fma.f64 z (/.f64 y x) z))
(*.f64 x (*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 y x))))
(*.f64 x (fma.f64 z (/.f64 y x) z))
(*.f64 x (*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 y x))))
(*.f64 x (fma.f64 z (/.f64 y x) z))
(*.f64 x (*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 y x))))
(*.f64 x (fma.f64 z (/.f64 y x) z))
(*.f64 x (*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 y x))))
(*.f64 x (fma.f64 z (/.f64 y x) z))
(*.f64 x (*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 y x))))
(*.f64 x (fma.f64 z (/.f64 y x) z))
(*.f64 x (*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 y x))))
(*.f64 x (fma.f64 z (/.f64 y x) z))
(*.f64 x (*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 y x))))
(*.f64 x (fma.f64 z (/.f64 y x) z))
(*.f64 x (*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 y x))))
(*.f64 x (fma.f64 z (/.f64 y x) z))
(*.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 x (fma.f64 z (/.f64 y x) z))
(*.f64 x (+.f64 z (/.f64 (*.f64 y z) x)))
(*.f64 x (fma.f64 z (/.f64 y x) z))
(*.f64 x (+.f64 z (/.f64 (*.f64 y z) 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 x (neg.f64 (neg.f64 (fma.f64 z (/.f64 y 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 x (neg.f64 (neg.f64 (fma.f64 z (/.f64 y 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 x (neg.f64 (neg.f64 (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 (-.f64 (neg.f64 z) (*.f64 x (/.f64 z y))) (neg.f64 y))
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) z) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) y)))))
(*.f64 (neg.f64 y) (*.f64 #s(literal -1 binary64) (+.f64 z (*.f64 x (/.f64 z y)))))
(*.f64 (-.f64 (neg.f64 z) (*.f64 x (/.f64 z y))) (neg.f64 y))
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) z) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) y)))))
(*.f64 (neg.f64 y) (*.f64 #s(literal -1 binary64) (+.f64 z (*.f64 x (/.f64 z y)))))
(*.f64 (-.f64 (neg.f64 z) (*.f64 x (/.f64 z y))) (neg.f64 y))
y
(+.f64 x y)
(+.f64 x y)
(+.f64 x y)
x
x
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 y x)) #s(literal 1 binary64))))
(*.f64 (neg.f64 x) (fma.f64 #s(literal -1 binary64) (/.f64 y x) #s(literal -1 binary64)))
(*.f64 (fma.f64 (/.f64 y x) #s(literal -1 binary64) #s(literal -1 binary64)) (neg.f64 x))
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 y x)) #s(literal 1 binary64))))
(*.f64 (neg.f64 x) (fma.f64 #s(literal -1 binary64) (/.f64 y x) #s(literal -1 binary64)))
(*.f64 (fma.f64 (/.f64 y x) #s(literal -1 binary64) #s(literal -1 binary64)) (neg.f64 x))
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 y x)) #s(literal 1 binary64))))
(*.f64 (neg.f64 x) (fma.f64 #s(literal -1 binary64) (/.f64 y x) #s(literal -1 binary64)))
(*.f64 (fma.f64 (/.f64 y x) #s(literal -1 binary64) #s(literal -1 binary64)) (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 (fma.f64 #s(literal -1 binary64) (/.f64 x y) #s(literal -1 binary64)) (neg.f64 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 (fma.f64 #s(literal -1 binary64) (/.f64 x y) #s(literal -1 binary64)) (neg.f64 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 (fma.f64 #s(literal -1 binary64) (/.f64 x y) #s(literal -1 binary64)) (neg.f64 y))
#s(literal 1 binary64)
(/.f64 y x)
(*.f64 y (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) y)))
(fma.f64 y (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))
(*.f64 y (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) y)))
(fma.f64 y (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))
(*.f64 y (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) y)))
(fma.f64 y (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))
(/.f64 y x)
(*.f64 y (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) y)))
(fma.f64 y (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))
(*.f64 y (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) y)))
(fma.f64 y (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))
(*.f64 y (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) y)))
(fma.f64 y (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))
(/.f64 y x)
(/.f64 (+.f64 x y) x)
(/.f64 (+.f64 x y) x)
(/.f64 (+.f64 x y) x)
#s(literal 1 binary64)
#s(literal 1 binary64)
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 x z)))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 x z)))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 x z)))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 x z)))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 x z)))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 x z)))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 x z)))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 x z)))
(*.f64 #s(literal -2 binary64) (*.f64 (sqrt.f64 (*.f64 x z)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))
(*.f64 (*.f64 #s(literal -2 binary64) (sqrt.f64 (*.f64 x z))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))
(*.f64 #s(literal -2 binary64) (neg.f64 (sqrt.f64 (*.f64 x z))))
(*.f64 #s(literal -2 binary64) (*.f64 (sqrt.f64 (*.f64 x z)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))
(*.f64 (*.f64 #s(literal -2 binary64) (sqrt.f64 (*.f64 x z))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))
(*.f64 #s(literal -2 binary64) (neg.f64 (sqrt.f64 (*.f64 x z))))
(*.f64 #s(literal -2 binary64) (*.f64 (sqrt.f64 (*.f64 x z)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))
(*.f64 (*.f64 #s(literal -2 binary64) (sqrt.f64 (*.f64 x z))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))
(*.f64 #s(literal -2 binary64) (neg.f64 (sqrt.f64 (*.f64 x z))))
(*.f64 #s(literal -2 binary64) (*.f64 (sqrt.f64 (*.f64 x z)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))
(*.f64 (*.f64 #s(literal -2 binary64) (sqrt.f64 (*.f64 x z))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))
(*.f64 #s(literal -2 binary64) (neg.f64 (sqrt.f64 (*.f64 x z))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 x z)))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 x z)))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 x z)))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 x z)))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 x z)))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 x z)))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 x z)))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 x z)))
(*.f64 #s(literal -2 binary64) (*.f64 (sqrt.f64 (*.f64 x z)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))
(*.f64 (*.f64 #s(literal -2 binary64) (sqrt.f64 (*.f64 x z))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))
(*.f64 #s(literal -2 binary64) (neg.f64 (sqrt.f64 (*.f64 x z))))
(*.f64 #s(literal -2 binary64) (*.f64 (sqrt.f64 (*.f64 x z)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))
(*.f64 (*.f64 #s(literal -2 binary64) (sqrt.f64 (*.f64 x z))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))
(*.f64 #s(literal -2 binary64) (neg.f64 (sqrt.f64 (*.f64 x z))))
(*.f64 #s(literal -2 binary64) (*.f64 (sqrt.f64 (*.f64 x z)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))
(*.f64 (*.f64 #s(literal -2 binary64) (sqrt.f64 (*.f64 x z))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))
(*.f64 #s(literal -2 binary64) (neg.f64 (sqrt.f64 (*.f64 x z))))
(*.f64 #s(literal -2 binary64) (*.f64 (sqrt.f64 (*.f64 x z)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))
(*.f64 (*.f64 #s(literal -2 binary64) (sqrt.f64 (*.f64 x z))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))
(*.f64 #s(literal -2 binary64) (neg.f64 (sqrt.f64 (*.f64 x z))))
(sqrt.f64 (*.f64 x z))
(sqrt.f64 (*.f64 x z))
(sqrt.f64 (*.f64 x z))
(sqrt.f64 (*.f64 x z))
(sqrt.f64 (*.f64 x z))
(sqrt.f64 (*.f64 x z))
(sqrt.f64 (*.f64 x z))
(sqrt.f64 (*.f64 x z))
(*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 (*.f64 x z)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))
(sqrt.f64 (*.f64 x z))
(*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 (*.f64 x z)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))
(sqrt.f64 (*.f64 x z))
(*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 (*.f64 x z)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))
(sqrt.f64 (*.f64 x z))
(*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 (*.f64 x z)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))
(sqrt.f64 (*.f64 x z))
(sqrt.f64 (*.f64 x z))
(sqrt.f64 (*.f64 x z))
(sqrt.f64 (*.f64 x z))
(sqrt.f64 (*.f64 x z))
(sqrt.f64 (*.f64 x z))
(sqrt.f64 (*.f64 x z))
(sqrt.f64 (*.f64 x z))
(sqrt.f64 (*.f64 x z))
(*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 (*.f64 x z)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))
(sqrt.f64 (*.f64 x z))
(*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 (*.f64 x z)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))
(sqrt.f64 (*.f64 x z))
(*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 (*.f64 x z)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))
(sqrt.f64 (*.f64 x z))
(*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 (*.f64 x z)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))
(sqrt.f64 (*.f64 x z))
(*.f64 x z)
(*.f64 x z)
(*.f64 x z)
(*.f64 x z)
(*.f64 x z)
(*.f64 x z)
(*.f64 x z)
(*.f64 x z)
(*.f64 x z)
(*.f64 x z)
(*.f64 x z)
(*.f64 x z)
(*.f64 x z)
(*.f64 x z)
(*.f64 x z)
(*.f64 x z)
(*.f64 x z)
(*.f64 x z)
(*.f64 x z)
(*.f64 x z)
(*.f64 x z)
(*.f64 x z)
(*.f64 x z)
(*.f64 x z)
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 x y)))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 x y)))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 x y)))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 x y)))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 x y)))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 x y)))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 x y)))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 x y)))
(*.f64 #s(literal -2 binary64) (*.f64 (sqrt.f64 (*.f64 x y)) (cbrt.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64)))))
(*.f64 (*.f64 #s(literal -2 binary64) (sqrt.f64 (*.f64 x y))) (cbrt.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64))))
(*.f64 #s(literal -2 binary64) (*.f64 (sqrt.f64 (*.f64 x y)) (cbrt.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64)))))
(*.f64 (*.f64 #s(literal -2 binary64) (sqrt.f64 (*.f64 x y))) (cbrt.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64))))
(*.f64 #s(literal -2 binary64) (*.f64 (sqrt.f64 (*.f64 x y)) (cbrt.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64)))))
(*.f64 (*.f64 #s(literal -2 binary64) (sqrt.f64 (*.f64 x y))) (cbrt.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64))))
(*.f64 #s(literal -2 binary64) (*.f64 (sqrt.f64 (*.f64 x y)) (cbrt.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64)))))
(*.f64 (*.f64 #s(literal -2 binary64) (sqrt.f64 (*.f64 x y))) (cbrt.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 x y)))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 x y)))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 x y)))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 x y)))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 x y)))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 x y)))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 x y)))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 x y)))
(*.f64 #s(literal -2 binary64) (*.f64 (sqrt.f64 (*.f64 x y)) (cbrt.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64)))))
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(log1p.f64 (expm1.f64 (*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 y x)))))
(fma.f64 z (/.f64 y x) z)
(exp.f64 (+.f64 (log1p.f64 (/.f64 y x)) (log.f64 z)))
(fma.f64 z (/.f64 y x) z)
(exp.f64 (*.f64 (+.f64 (log1p.f64 (/.f64 y x)) (log.f64 z)) #s(literal 1 binary64)))
(fma.f64 z (/.f64 y x) z)
(fma.f64 z #s(literal 1 binary64) (*.f64 z (/.f64 y x)))
(fma.f64 z (/.f64 y x) z)
(fma.f64 #s(literal 1 binary64) z (*.f64 (/.f64 y x) z))
(fma.f64 z (/.f64 y x) z)
(fma.f64 (cbrt.f64 (pow.f64 z #s(literal 2 binary64))) (cbrt.f64 z) (*.f64 (/.f64 y x) z))
(fma.f64 (cbrt.f64 (pow.f64 z #s(literal 2 binary64))) (cbrt.f64 z) (/.f64 (*.f64 z y) x))
(fma.f64 (sqrt.f64 z) (sqrt.f64 z) (*.f64 (/.f64 y x) z))
(fma.f64 z (/.f64 y x) z)
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (+.f64 x y)))) #s(literal 1 binary64))
(expm1.f64 (log1p.f64 (sqrt.f64 (+.f64 x y))))
(*.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x y)))
(sqrt.f64 (+.f64 x y))
(*.f64 (cbrt.f64 (+.f64 x y)) (cbrt.f64 (sqrt.f64 (+.f64 x y))))
(*.f64 (pow.f64 (+.f64 x y) #s(literal 1/4 binary64)) (pow.f64 (+.f64 x y) #s(literal 1/4 binary64)))
(sqrt.f64 (+.f64 x y))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/2 binary64)) (sqrt.f64 (+.f64 x y)))
(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 (cbrt.f64 (+.f64 x y)) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 x y)) #s(literal 2 binary64))) (sqrt.f64 (cbrt.f64 (+.f64 x y))))
(*.f64 (fabs.f64 (cbrt.f64 (+.f64 x y))) (sqrt.f64 (cbrt.f64 (+.f64 x y))))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 x y)) #s(literal 2 binary64))) (sqrt.f64 (cbrt.f64 (+.f64 x y))))
(*.f64 (fabs.f64 (cbrt.f64 (+.f64 x y))) (sqrt.f64 (cbrt.f64 (+.f64 x y))))
(/.f64 (sqrt.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (sqrt.f64 (fma.f64 x x (*.f64 y (-.f64 y x)))))
(/.f64 (sqrt.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))) (sqrt.f64 (-.f64 x y)))
(pow.f64 (sqrt.f64 (+.f64 x y)) #s(literal 1 binary64))
(sqrt.f64 (+.f64 x y))
(pow.f64 (+.f64 x y) #s(literal 1/2 binary64))
(sqrt.f64 (+.f64 x y))
(pow.f64 (cbrt.f64 (sqrt.f64 (+.f64 x y))) #s(literal 3 binary64))
(sqrt.f64 (+.f64 x y))
(pow.f64 (pow.f64 (+.f64 x y) #s(literal 3/2 binary64)) #s(literal 1/3 binary64))
(cbrt.f64 (pow.f64 (+.f64 x y) #s(literal 3/2 binary64)))
(pow.f64 (pow.f64 (+.f64 x y) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(sqrt.f64 (+.f64 x y))
(fabs.f64 (sqrt.f64 (+.f64 x y)))
(sqrt.f64 (+.f64 x y))
(log.f64 (exp.f64 (sqrt.f64 (+.f64 x y))))
(sqrt.f64 (+.f64 x y))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (sqrt.f64 (+.f64 x y)))))
(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))))
(hypot.f64 (sqrt.f64 x) (sqrt.f64 y))
(sqrt.f64 (+.f64 x y))
(hypot.f64 (sqrt.f64 y) (sqrt.f64 x))
(sqrt.f64 (+.f64 x y))
(log1p.f64 (expm1.f64 (sqrt.f64 (+.f64 x y))))
(sqrt.f64 (+.f64 x y))
(exp.f64 (log.f64 (sqrt.f64 (+.f64 x y))))
(sqrt.f64 (+.f64 x y))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 x y))) #s(literal 1 binary64)))
(sqrt.f64 (+.f64 x y))
(exp.f64 (*.f64 (log.f64 (+.f64 x y)) #s(literal 1/2 binary64)))
(sqrt.f64 (+.f64 x y))

eval277.0ms (1.8%)

Compiler

Compiled 25015 to 4488 computations (82.1% saved)

prune189.0ms (1.3%)

Pruning

44 alts after pruning (40 fresh and 4 done)

PrunedKeptTotal
New98414998
Fresh62632
Picked235
Done011
Total992441036
Accuracy
98.1%
Counts
1036 → 44
Alt Table
Click to see full alt table
StatusAccuracyProgram
3.1%
(pow.f64 (cbrt.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 z x)))) #s(literal 3 binary64))
37.3%
(pow.f64 (cbrt.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 x y)))) #s(literal 3 binary64))
32.4%
(+.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 x y))) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 y x))) (*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 y x)))))
31.6%
(+.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 x y))) (*.f64 (sqrt.f64 (/.f64 x y)) (*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 y x)))))
32.1%
(+.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 x y))) (*.f64 (sqrt.f64 (/.f64 x y)) z))
31.3%
(+.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 x y))) (*.f64 (neg.f64 (sqrt.f64 (/.f64 x y))) (*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 y x)))))
36.8%
(*.f64 z (+.f64 (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 z (+.f64 y x))))) (*.f64 (*.f64 x y) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 z #s(literal 3 binary64)) (+.f64 x y)))))))
40.5%
(*.f64 z (+.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 (+.f64 x y) z))) (*.f64 x (sqrt.f64 (/.f64 y (pow.f64 z #s(literal 3 binary64)))))))
38.6%
(*.f64 z (+.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 (+.f64 x y) z))) (log.f64 (pow.f64 (exp.f64 (sqrt.f64 (/.f64 (pow.f64 z #s(literal -3 binary64)) (+.f64 y x)))) (*.f64 x y)))))
32.1%
(*.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)))))))
3.4%
(*.f64 #s(literal 2 binary64) (pow.f64 (pow.f64 (*.f64 z x) #s(literal 1/4 binary64)) #s(literal 2 binary64)))
32.7%
(*.f64 #s(literal 2 binary64) (pow.f64 (pow.f64 (*.f64 y z) #s(literal 1/4 binary64)) #s(literal 2 binary64)))
39.0%
(*.f64 #s(literal 2 binary64) (pow.f64 (pow.f64 (*.f64 x (+.f64 z y)) #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)))
40.5%
(*.f64 #s(literal 2 binary64) (pow.f64 (exp.f64 (*.f64 #s(literal 1/4 binary64) (+.f64 (log.f64 (+.f64 x z)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) y)))))) #s(literal 2 binary64)))
48.5%
(*.f64 #s(literal 2 binary64) (pow.f64 (exp.f64 (*.f64 #s(literal 1/4 binary64) (+.f64 (log.f64 (*.f64 #s(literal -1 binary64) (+.f64 x z))) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) y)))))) #s(literal 2 binary64)))
37.3%
(*.f64 #s(literal 2 binary64) (pow.f64 (cbrt.f64 (sqrt.f64 (*.f64 x y))) #s(literal 3 binary64)))
5.4%
(*.f64 #s(literal 2 binary64) (*.f64 (sqrt.f64 (+.f64 y (fma.f64 y (/.f64 z x) z))) (sqrt.f64 x)))
1.4%
(*.f64 #s(literal 2 binary64) (*.f64 (sqrt.f64 z) (sqrt.f64 x)))
37.6%
(*.f64 #s(literal 2 binary64) (*.f64 (cbrt.f64 (*.f64 x y)) (cbrt.f64 (sqrt.f64 (*.f64 x y)))))
35.3%
(*.f64 #s(literal 2 binary64) (*.f64 y (+.f64 (sqrt.f64 (/.f64 (+.f64 z x) y)) (*.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 z (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 y #s(literal 3 binary64)) (+.f64 z x))))))))))
67.6%
(*.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (*.f64 x y) (+.f64 (*.f64 (/.f64 y x) (*.f64 z x)) (*.f64 z x)))))
31.1%
(*.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (*.f64 x y) (*.f64 z (pow.f64 (sqrt.f64 y) #s(literal 2 binary64))))))
66.2%
(*.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (*.f64 x y) (*.f64 z (*.f64 x (/.f64 y x))))))
58.2%
(*.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (*.f64 x y) (*.f64 z (*.f64 x (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 y x) #s(literal 2 binary64))))))))))
37.0%
(*.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (*.f64 x y) (*.f64 z (cbrt.f64 (pow.f64 (+.f64 x y) #s(literal 3 binary64)))))))
39.0%
(*.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (*.f64 x y) (*.f64 z x))))
34.0%
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 z (+.f64 y x))))
56.0%
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 z (+.f64 x (+.f64 y (/.f64 (*.f64 x y) z))))))
32.7%
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 z y)))
3.1%
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 z x)))
39.1%
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 x (+.f64 z y))))
21.3%
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 x (*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 y x))))))
50.0%
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 z x))))))
37.9%
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 x y)))
6.9%
(*.f64 #s(literal 2 binary64) (sqrt.f64 (fabs.f64 (*.f64 x z))))
40.5%
(*.f64 #s(literal 2 binary64) (exp.f64 (*.f64 (+.f64 (log.f64 (+.f64 z x)) (neg.f64 (neg.f64 (log.f64 y)))) #s(literal 1/2 binary64))))
48.6%
(*.f64 #s(literal 2 binary64) (exp.f64 (*.f64 (+.f64 (log.f64 (neg.f64 (+.f64 z x))) (neg.f64 (log.f64 (/.f64 #s(literal -1 binary64) y)))) #s(literal 1/2 binary64))))
31.9%
(*.f64 #s(literal 2 binary64) (exp.f64 (*.f64 (log.f64 (*.f64 (neg.f64 z) (neg.f64 (+.f64 x y)))) #s(literal 1/2 binary64))))
3.1%
(*.f64 #s(literal 2 binary64) (exp.f64 (*.f64 (log.f64 (*.f64 z x)) #s(literal 1/2 binary64))))
30.7%
(*.f64 #s(literal 2 binary64) (exp.f64 (*.f64 (log.f64 (*.f64 y z)) #s(literal 1/2 binary64))))
3.2%
(*.f64 #s(literal 2 binary64) (cbrt.f64 (pow.f64 (*.f64 z x) #s(literal 3/2 binary64))))
28.5%
(*.f64 #s(literal 2 binary64) (cbrt.f64 (pow.f64 (*.f64 x y) #s(literal 3/2 binary64))))
3.1%
(expm1.f64 (log1p.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 z x)))))
Compiler

Compiled 1397 to 1002 computations (28.3% saved)

simplify165.0ms (1.1%)

Algorithm
egg-herbie
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
cost-diff6592
(sqrt.f64 (+.f64 (*.f64 x y) (*.f64 z (cbrt.f64 (pow.f64 (+.f64 x y) #s(literal 3 binary64))))))
cost-diff6592
(*.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (*.f64 x y) (*.f64 z (cbrt.f64 (pow.f64 (+.f64 x y) #s(literal 3 binary64)))))))
cost-diff12864
(cbrt.f64 (pow.f64 (+.f64 x y) #s(literal 3 binary64)))
cost-diff12864
(*.f64 z (cbrt.f64 (pow.f64 (+.f64 x y) #s(literal 3 binary64))))
cost-diff0
(/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 y 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
(*.f64 z x)
cost-diff0
(pow.f64 (*.f64 z x) #s(literal 3/2 binary64))
cost-diff0
(cbrt.f64 (pow.f64 (*.f64 z x) #s(literal 3/2 binary64)))
cost-diff0
(*.f64 #s(literal 2 binary64) (cbrt.f64 (pow.f64 (*.f64 z x) #s(literal 3/2 binary64))))
cost-diff0
(*.f64 z y)
cost-diff0
(sqrt.f64 (*.f64 z y))
cost-diff0
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 z y)))
cost-diff0
(/.f64 y x)
cost-diff0
(*.f64 x y)
cost-diff256
(*.f64 (/.f64 y x) (*.f64 z x))
cost-diff384
(+.f64 (*.f64 (/.f64 y x) (*.f64 z x)) (*.f64 z x))
Rules
1126×distribute-lft-out
830×distribute-lft-in
815×distribute-rgt-in
497×fma-define
401×associate-+r+
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
0431040
1921028
2202987
3545869
4965869
52365869
65294869
75946869
86113869
96171869
106181869
116181869
Stop Event
node limit
Calls
Call 1
Inputs
(*.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (*.f64 x y) (+.f64 (*.f64 (/.f64 y x) (*.f64 z x)) (*.f64 z x)))))
#s(literal 2 binary64)
(sqrt.f64 (+.f64 (*.f64 x y) (+.f64 (*.f64 (/.f64 y x) (*.f64 z x)) (*.f64 z x))))
(+.f64 (*.f64 x y) (+.f64 (*.f64 (/.f64 y x) (*.f64 z x)) (*.f64 z x)))
(*.f64 x y)
x
y
(+.f64 (*.f64 (/.f64 y x) (*.f64 z x)) (*.f64 z x))
(*.f64 (/.f64 y x) (*.f64 z x))
(/.f64 y x)
(*.f64 z x)
z
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 z y)))
#s(literal 2 binary64)
(sqrt.f64 (*.f64 z y))
(*.f64 z y)
z
y
(*.f64 #s(literal 2 binary64) (cbrt.f64 (pow.f64 (*.f64 z x) #s(literal 3/2 binary64))))
#s(literal 2 binary64)
(cbrt.f64 (pow.f64 (*.f64 z x) #s(literal 3/2 binary64)))
(pow.f64 (*.f64 z x) #s(literal 3/2 binary64))
(*.f64 z x)
z
x
#s(literal 3/2 binary64)
(+.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 x y))) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 y x))) (*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 y x)))))
(*.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 (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 y x))) (*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 y x))))
(/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 y x)))
#s(literal 1 binary64)
(sqrt.f64 (/.f64 y x))
(/.f64 y x)
(*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 y x)))
z
(+.f64 #s(literal 1 binary64) (/.f64 y x))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (*.f64 x y) (*.f64 z (cbrt.f64 (pow.f64 (+.f64 x y) #s(literal 3 binary64)))))))
#s(literal 2 binary64)
(sqrt.f64 (+.f64 (*.f64 x y) (*.f64 z (cbrt.f64 (pow.f64 (+.f64 x y) #s(literal 3 binary64))))))
(+.f64 (*.f64 x y) (*.f64 z (cbrt.f64 (pow.f64 (+.f64 x y) #s(literal 3 binary64)))))
(*.f64 x y)
x
y
(*.f64 z (cbrt.f64 (pow.f64 (+.f64 x y) #s(literal 3 binary64))))
z
(cbrt.f64 (pow.f64 (+.f64 x y) #s(literal 3 binary64)))
(pow.f64 (+.f64 x y) #s(literal 3 binary64))
(+.f64 x y)
#s(literal 3 binary64)
Outputs
(*.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (*.f64 x y) (+.f64 (*.f64 (/.f64 y x) (*.f64 z x)) (*.f64 z x)))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (fma.f64 x y (*.f64 (+.f64 (/.f64 y x) #s(literal 1 binary64)) (*.f64 x z)))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (fma.f64 x y (*.f64 x (*.f64 z (+.f64 (/.f64 y x) #s(literal 1 binary64)))))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 x (+.f64 y (fma.f64 (/.f64 y x) z z)))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (fma.f64 x (+.f64 y z) (*.f64 y z))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (fma.f64 z (+.f64 x y) (*.f64 x y))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (fma.f64 x y (*.f64 z (+.f64 x y)))))
#s(literal 2 binary64)
(sqrt.f64 (+.f64 (*.f64 x y) (+.f64 (*.f64 (/.f64 y x) (*.f64 z x)) (*.f64 z x))))
(sqrt.f64 (fma.f64 x y (*.f64 (+.f64 (/.f64 y x) #s(literal 1 binary64)) (*.f64 x z))))
(sqrt.f64 (fma.f64 x y (*.f64 x (*.f64 z (+.f64 (/.f64 y x) #s(literal 1 binary64))))))
(sqrt.f64 (*.f64 x (+.f64 y (fma.f64 (/.f64 y x) z z))))
(sqrt.f64 (fma.f64 x (+.f64 y z) (*.f64 y z)))
(sqrt.f64 (fma.f64 z (+.f64 x y) (*.f64 x y)))
(sqrt.f64 (fma.f64 x y (*.f64 z (+.f64 x y))))
(+.f64 (*.f64 x y) (+.f64 (*.f64 (/.f64 y x) (*.f64 z x)) (*.f64 z x)))
(fma.f64 x y (*.f64 (+.f64 (/.f64 y x) #s(literal 1 binary64)) (*.f64 x z)))
(fma.f64 x y (*.f64 x (*.f64 z (+.f64 (/.f64 y x) #s(literal 1 binary64)))))
(*.f64 x (+.f64 y (fma.f64 (/.f64 y x) z z)))
(fma.f64 x (+.f64 y z) (*.f64 y z))
(fma.f64 z (+.f64 x y) (*.f64 x y))
(fma.f64 x y (*.f64 z (+.f64 x y)))
(*.f64 x y)
x
y
(+.f64 (*.f64 (/.f64 y x) (*.f64 z x)) (*.f64 z x))
(*.f64 (+.f64 (/.f64 y x) #s(literal 1 binary64)) (*.f64 x z))
(*.f64 x (*.f64 z (+.f64 (/.f64 y x) #s(literal 1 binary64))))
(*.f64 x (fma.f64 (/.f64 y x) z z))
(*.f64 z (+.f64 x y))
(*.f64 (/.f64 y x) (*.f64 z x))
(*.f64 (/.f64 y x) (*.f64 x z))
(*.f64 x (*.f64 (/.f64 y x) z))
(*.f64 y z)
(/.f64 y x)
(*.f64 z x)
(*.f64 x z)
z
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 z y)))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 y z)))
#s(literal 2 binary64)
(sqrt.f64 (*.f64 z y))
(sqrt.f64 (*.f64 y z))
(*.f64 z y)
(*.f64 (/.f64 y x) (*.f64 x z))
(*.f64 x (*.f64 (/.f64 y x) z))
(*.f64 y z)
z
y
(*.f64 #s(literal 2 binary64) (cbrt.f64 (pow.f64 (*.f64 z x) #s(literal 3/2 binary64))))
(*.f64 #s(literal 2 binary64) (cbrt.f64 (pow.f64 (*.f64 x z) #s(literal 3/2 binary64))))
#s(literal 2 binary64)
(cbrt.f64 (pow.f64 (*.f64 z x) #s(literal 3/2 binary64)))
(cbrt.f64 (pow.f64 (*.f64 x z) #s(literal 3/2 binary64)))
(pow.f64 (*.f64 z x) #s(literal 3/2 binary64))
(pow.f64 (*.f64 x z) #s(literal 3/2 binary64))
(*.f64 z x)
(*.f64 x z)
z
x
#s(literal 3/2 binary64)
(+.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 x y))) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 y x))) (*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 y x)))))
(fma.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 x y)) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 y x))) (*.f64 z (+.f64 (/.f64 y x) #s(literal 1 binary64)))))
(fma.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 x y)) (*.f64 (+.f64 (/.f64 y x) #s(literal 1 binary64)) (/.f64 z (sqrt.f64 (/.f64 y x)))))
(fma.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 x y)) (/.f64 (fma.f64 (/.f64 y x) z z) (sqrt.f64 (/.f64 y x))))
(fma.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 x y)) (/.f64 (fma.f64 y (/.f64 z x) z) (sqrt.f64 (/.f64 y x))))
(*.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 (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 y x))) (*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 y x))))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 y x))) (*.f64 z (+.f64 (/.f64 y x) #s(literal 1 binary64))))
(*.f64 (+.f64 (/.f64 y x) #s(literal 1 binary64)) (/.f64 z (sqrt.f64 (/.f64 y x))))
(/.f64 (fma.f64 (/.f64 y x) z z) (sqrt.f64 (/.f64 y x)))
(/.f64 (fma.f64 y (/.f64 z x) z) (sqrt.f64 (/.f64 y x)))
(/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 y x)))
#s(literal 1 binary64)
(sqrt.f64 (/.f64 y x))
(/.f64 y x)
(*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 y x)))
(*.f64 z (+.f64 (/.f64 y x) #s(literal 1 binary64)))
(fma.f64 (/.f64 y x) z z)
(fma.f64 y (/.f64 z x) z)
z
(+.f64 #s(literal 1 binary64) (/.f64 y x))
(+.f64 (/.f64 y x) #s(literal 1 binary64))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (*.f64 x y) (*.f64 z (cbrt.f64 (pow.f64 (+.f64 x y) #s(literal 3 binary64)))))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (fma.f64 x y (*.f64 (+.f64 (/.f64 y x) #s(literal 1 binary64)) (*.f64 x z)))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (fma.f64 x y (*.f64 x (*.f64 z (+.f64 (/.f64 y x) #s(literal 1 binary64)))))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 x (+.f64 y (fma.f64 (/.f64 y x) z z)))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (fma.f64 x (+.f64 y z) (*.f64 y z))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (fma.f64 z (+.f64 x y) (*.f64 x y))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (fma.f64 x y (*.f64 z (+.f64 x y)))))
#s(literal 2 binary64)
(sqrt.f64 (+.f64 (*.f64 x y) (*.f64 z (cbrt.f64 (pow.f64 (+.f64 x y) #s(literal 3 binary64))))))
(sqrt.f64 (fma.f64 x y (*.f64 (+.f64 (/.f64 y x) #s(literal 1 binary64)) (*.f64 x z))))
(sqrt.f64 (fma.f64 x y (*.f64 x (*.f64 z (+.f64 (/.f64 y x) #s(literal 1 binary64))))))
(sqrt.f64 (*.f64 x (+.f64 y (fma.f64 (/.f64 y x) z z))))
(sqrt.f64 (fma.f64 x (+.f64 y z) (*.f64 y z)))
(sqrt.f64 (fma.f64 z (+.f64 x y) (*.f64 x y)))
(sqrt.f64 (fma.f64 x y (*.f64 z (+.f64 x y))))
(+.f64 (*.f64 x y) (*.f64 z (cbrt.f64 (pow.f64 (+.f64 x y) #s(literal 3 binary64)))))
(fma.f64 x y (*.f64 (+.f64 (/.f64 y x) #s(literal 1 binary64)) (*.f64 x z)))
(fma.f64 x y (*.f64 x (*.f64 z (+.f64 (/.f64 y x) #s(literal 1 binary64)))))
(*.f64 x (+.f64 y (fma.f64 (/.f64 y x) z z)))
(fma.f64 x (+.f64 y z) (*.f64 y z))
(fma.f64 z (+.f64 x y) (*.f64 x y))
(fma.f64 x y (*.f64 z (+.f64 x y)))
(*.f64 x y)
x
y
(*.f64 z (cbrt.f64 (pow.f64 (+.f64 x y) #s(literal 3 binary64))))
(*.f64 (+.f64 (/.f64 y x) #s(literal 1 binary64)) (*.f64 x z))
(*.f64 x (*.f64 z (+.f64 (/.f64 y x) #s(literal 1 binary64))))
(*.f64 x (fma.f64 (/.f64 y x) z z))
(*.f64 z (+.f64 x y))
z
(cbrt.f64 (pow.f64 (+.f64 x y) #s(literal 3 binary64)))
(+.f64 x y)
(pow.f64 (+.f64 x y) #s(literal 3 binary64))
(+.f64 x y)
#s(literal 3 binary64)

localize156.0ms (1%)

Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(pow.f64 (+.f64 x y) #s(literal 3 binary64))
accuracy100.0%
(*.f64 z (cbrt.f64 (pow.f64 (+.f64 x y) #s(literal 3 binary64))))
accuracy84.1%
(sqrt.f64 (+.f64 (*.f64 x y) (*.f64 z (cbrt.f64 (pow.f64 (+.f64 x y) #s(literal 3 binary64))))))
accuracy72.6%
(cbrt.f64 (pow.f64 (+.f64 x y) #s(literal 3 binary64)))
accuracy99.8%
(/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 y x)))
accuracy95.7%
(sqrt.f64 (/.f64 y x))
accuracy93.8%
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 y x))) (*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 y x))))
accuracy88.0%
(sqrt.f64 (*.f64 x y))
accuracy100.0%
(*.f64 z x)
accuracy100.0%
(*.f64 #s(literal 2 binary64) (cbrt.f64 (pow.f64 (*.f64 z x) #s(literal 3/2 binary64))))
accuracy99.8%
(pow.f64 (*.f64 z x) #s(literal 3/2 binary64))
accuracy86.3%
(cbrt.f64 (pow.f64 (*.f64 z x) #s(literal 3/2 binary64)))
accuracy100.0%
(*.f64 z y)
accuracy100.0%
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 z y)))
accuracy85.9%
(sqrt.f64 (*.f64 z y))
accuracy100.0%
(+.f64 (*.f64 x y) (+.f64 (*.f64 (/.f64 y x) (*.f64 z x)) (*.f64 z x)))
accuracy100.0%
(+.f64 (*.f64 (/.f64 y x) (*.f64 z x)) (*.f64 z x))
accuracy97.6%
(*.f64 (/.f64 y x) (*.f64 z x))
accuracy84.1%
(sqrt.f64 (+.f64 (*.f64 x y) (+.f64 (*.f64 (/.f64 y x) (*.f64 z x)) (*.f64 z x))))
Results
57.0ms138×0invalid
51.0ms118×0valid
Compiler

Compiled 274 to 37 computations (86.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 57.0ms
ival-mult: 22.0ms (38.5% of total)
ival-pow: 10.0ms (17.5% of total)
ival-sqrt: 9.0ms (15.7% of total)
ival-add: 8.0ms (14% of total)
ival-div: 4.0ms (7% of total)
ival-cbrt: 3.0ms (5.2% of total)
const: 1.0ms (1.7% of total)
backward-pass: 0.0ms (0% of total)

series65.0ms (0.4%)

Counts
19 → 512
Calls
Call 1
Inputs
#<alt (+.f64 (*.f64 (/.f64 y x) (*.f64 z x)) (*.f64 z x))>
#<alt (*.f64 (/.f64 y x) (*.f64 z x))>
#<alt (/.f64 y x)>
#<alt (*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 z y)))>
#<alt (sqrt.f64 (*.f64 z y))>
#<alt (*.f64 z y)>
#<alt (*.f64 #s(literal 2 binary64) (cbrt.f64 (pow.f64 (*.f64 z x) #s(literal 3/2 binary64))))>
#<alt (cbrt.f64 (pow.f64 (*.f64 z x) #s(literal 3/2 binary64)))>
#<alt (pow.f64 (*.f64 z x) #s(literal 3/2 binary64))>
#<alt (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 y x)))>
#<alt (*.f64 z (cbrt.f64 (pow.f64 (+.f64 x y) #s(literal 3 binary64))))>
#<alt (cbrt.f64 (pow.f64 (+.f64 x y) #s(literal 3 binary64)))>
#<alt (*.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (*.f64 x y) (*.f64 z (cbrt.f64 (pow.f64 (+.f64 x y) #s(literal 3 binary64)))))))>
#<alt (sqrt.f64 (+.f64 (*.f64 x y) (*.f64 z (cbrt.f64 (pow.f64 (+.f64 x y) #s(literal 3 binary64))))))>
#<alt (sqrt.f64 (+.f64 (*.f64 x y) (+.f64 (*.f64 (/.f64 y x) (*.f64 z x)) (*.f64 z x))))>
#<alt (+.f64 (*.f64 x y) (+.f64 (*.f64 (/.f64 y x) (*.f64 z x)) (*.f64 z x)))>
#<alt (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 y x))) (*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 y x))))>
#<alt (sqrt.f64 (/.f64 y x))>
#<alt (pow.f64 (+.f64 x y) #s(literal 3 binary64))>
Outputs
#<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 (*.f64 z (+.f64 x y))>
#<alt (*.f64 z (+.f64 x y))>
#<alt (*.f64 z (+.f64 x y))>
#<alt (*.f64 z (+.f64 x y))>
#<alt (*.f64 z (+.f64 x y))>
#<alt (*.f64 z (+.f64 x y))>
#<alt (*.f64 z (+.f64 x y))>
#<alt (*.f64 z (+.f64 x y))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1 binary64) y))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1 binary64) y))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1 binary64) y))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1 binary64) y))))>
#<alt (*.f64 y z)>
#<alt (*.f64 y z)>
#<alt (*.f64 y z)>
#<alt (*.f64 y z)>
#<alt (*.f64 y z)>
#<alt (*.f64 y z)>
#<alt (*.f64 y z)>
#<alt (*.f64 y z)>
#<alt (*.f64 y z)>
#<alt (*.f64 y z)>
#<alt (*.f64 y z)>
#<alt (*.f64 y z)>
#<alt (*.f64 y z)>
#<alt (*.f64 y z)>
#<alt (*.f64 y z)>
#<alt (*.f64 y z)>
#<alt (*.f64 y z)>
#<alt (*.f64 y z)>
#<alt (*.f64 y z)>
#<alt (*.f64 y z)>
#<alt (*.f64 y z)>
#<alt (*.f64 y z)>
#<alt (*.f64 y z)>
#<alt (*.f64 y z)>
#<alt (*.f64 y z)>
#<alt (*.f64 y z)>
#<alt (*.f64 y z)>
#<alt (*.f64 y z)>
#<alt (*.f64 y z)>
#<alt (*.f64 y z)>
#<alt (*.f64 y z)>
#<alt (*.f64 y z)>
#<alt (*.f64 y z)>
#<alt (*.f64 y z)>
#<alt (*.f64 y z)>
#<alt (*.f64 y z)>
#<alt (*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 y z)))>
#<alt (*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 y z)))>
#<alt (*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 y z)))>
#<alt (*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 y z)))>
#<alt (*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 y z)))>
#<alt (*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 y z)))>
#<alt (*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 y z)))>
#<alt (*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 y z)))>
#<alt (*.f64 #s(literal -2 binary64) (*.f64 (sqrt.f64 (*.f64 y z)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal -2 binary64) (*.f64 (sqrt.f64 (*.f64 y z)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal -2 binary64) (*.f64 (sqrt.f64 (*.f64 y z)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal -2 binary64) (*.f64 (sqrt.f64 (*.f64 y z)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 y z)))>
#<alt (*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 y z)))>
#<alt (*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 y z)))>
#<alt (*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 y z)))>
#<alt (*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 y z)))>
#<alt (*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 y z)))>
#<alt (*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 y z)))>
#<alt (*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 y z)))>
#<alt (*.f64 #s(literal -2 binary64) (*.f64 (sqrt.f64 (*.f64 y z)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal -2 binary64) (*.f64 (sqrt.f64 (*.f64 y z)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal -2 binary64) (*.f64 (sqrt.f64 (*.f64 y z)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal -2 binary64) (*.f64 (sqrt.f64 (*.f64 y z)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))>
#<alt (sqrt.f64 (*.f64 y z))>
#<alt (sqrt.f64 (*.f64 y z))>
#<alt (sqrt.f64 (*.f64 y z))>
#<alt (sqrt.f64 (*.f64 y z))>
#<alt (sqrt.f64 (*.f64 y z))>
#<alt (sqrt.f64 (*.f64 y z))>
#<alt (sqrt.f64 (*.f64 y z))>
#<alt (sqrt.f64 (*.f64 y z))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 (*.f64 y z)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 (*.f64 y z)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 (*.f64 y z)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 (*.f64 y z)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))>
#<alt (sqrt.f64 (*.f64 y z))>
#<alt (sqrt.f64 (*.f64 y z))>
#<alt (sqrt.f64 (*.f64 y z))>
#<alt (sqrt.f64 (*.f64 y z))>
#<alt (sqrt.f64 (*.f64 y z))>
#<alt (sqrt.f64 (*.f64 y z))>
#<alt (sqrt.f64 (*.f64 y z))>
#<alt (sqrt.f64 (*.f64 y z))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 (*.f64 y z)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 (*.f64 y z)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 (*.f64 y z)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 (*.f64 y z)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))>
#<alt (*.f64 y z)>
#<alt (*.f64 y z)>
#<alt (*.f64 y z)>
#<alt (*.f64 y z)>
#<alt (*.f64 y z)>
#<alt (*.f64 y z)>
#<alt (*.f64 y z)>
#<alt (*.f64 y z)>
#<alt (*.f64 y z)>
#<alt (*.f64 y z)>
#<alt (*.f64 y z)>
#<alt (*.f64 y z)>
#<alt (*.f64 y z)>
#<alt (*.f64 y z)>
#<alt (*.f64 y z)>
#<alt (*.f64 y z)>
#<alt (*.f64 y z)>
#<alt (*.f64 y z)>
#<alt (*.f64 y z)>
#<alt (*.f64 y z)>
#<alt (*.f64 y z)>
#<alt (*.f64 y z)>
#<alt (*.f64 y z)>
#<alt (*.f64 y z)>
#<alt (*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 x z)))>
#<alt (*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 x z)))>
#<alt (*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 x z)))>
#<alt (*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 x z)))>
#<alt (*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 x z)))>
#<alt (*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 x z)))>
#<alt (*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 x z)))>
#<alt (*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 x z)))>
#<alt (*.f64 #s(literal -2 binary64) (*.f64 (sqrt.f64 (*.f64 x z)) (cbrt.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64)))))>
#<alt (*.f64 #s(literal -2 binary64) (*.f64 (sqrt.f64 (*.f64 x z)) (cbrt.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64)))))>
#<alt (*.f64 #s(literal -2 binary64) (*.f64 (sqrt.f64 (*.f64 x z)) (cbrt.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64)))))>
#<alt (*.f64 #s(literal -2 binary64) (*.f64 (sqrt.f64 (*.f64 x z)) (cbrt.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64)))))>
#<alt (*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 x z)))>
#<alt (*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 x z)))>
#<alt (*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 x z)))>
#<alt (*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 x z)))>
#<alt (*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 x z)))>
#<alt (*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 x z)))>
#<alt (*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 x z)))>
#<alt (*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 x z)))>
#<alt (*.f64 #s(literal -2 binary64) (*.f64 (sqrt.f64 (*.f64 x z)) (cbrt.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64)))))>
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#<alt (pow.f64 y #s(literal 3 binary64))>
#<alt (*.f64 (pow.f64 y #s(literal 3 binary64)) (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal 2 binary64) (/.f64 x y)) (/.f64 x y))))>
#<alt (*.f64 (pow.f64 y #s(literal 3 binary64)) (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal 2 binary64) (/.f64 x y)) (+.f64 (*.f64 #s(literal 2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))) (+.f64 (/.f64 x y) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))))))))>
#<alt (*.f64 (pow.f64 y #s(literal 3 binary64)) (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal 2 binary64) (/.f64 x y)) (+.f64 (*.f64 #s(literal 2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))) (+.f64 (/.f64 x y) (+.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))))))))>
#<alt (pow.f64 y #s(literal 3 binary64))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 y #s(literal 3 binary64)) (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 x (*.f64 #s(literal 2 binary64) x)) y)) #s(literal 1 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 y #s(literal 3 binary64)) (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 x (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -2 binary64) (pow.f64 x #s(literal 2 binary64))) (*.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 2 binary64)))) y)) (*.f64 #s(literal 2 binary64) x))) y)) #s(literal 1 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 y #s(literal 3 binary64)) (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 x (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -2 binary64) (pow.f64 x #s(literal 2 binary64))) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x #s(literal 3 binary64)) y)) (*.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 2 binary64))))) y)) (*.f64 #s(literal 2 binary64) x))) y)) #s(literal 1 binary64))))>
Calls

138 calls:

TimeVariablePointExpression
5.0ms
z
@-inf
(* 2 (cbrt (pow (* z x) 3/2)))
1.0ms
y
@inf
(+ (* x y) (+ (* (/ y x) (* z x)) (* z x)))
1.0ms
z
@-inf
(pow (* z x) 3/2)
1.0ms
z
@0
(pow (* z x) 3/2)
1.0ms
x
@0
(pow (* z x) 3/2)

rewrite196.0ms (1.3%)

Algorithm
batch-egg-rewrite
Rules
303×associate-*r*
284×log1p-expm1-u
284×expm1-log1p-u
281×add-cube-cbrt
278×add-exp-log
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
039541
1662523
Stop Event
node limit
Counts
19 → 472
Calls
Call 1
Inputs
(+.f64 (*.f64 (/.f64 y x) (*.f64 z x)) (*.f64 z x))
(*.f64 (/.f64 y x) (*.f64 z x))
(/.f64 y x)
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 z y)))
(sqrt.f64 (*.f64 z y))
(*.f64 z y)
(*.f64 #s(literal 2 binary64) (cbrt.f64 (pow.f64 (*.f64 z x) #s(literal 3/2 binary64))))
(cbrt.f64 (pow.f64 (*.f64 z x) #s(literal 3/2 binary64)))
(pow.f64 (*.f64 z x) #s(literal 3/2 binary64))
(/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 y x)))
(*.f64 z (cbrt.f64 (pow.f64 (+.f64 x y) #s(literal 3 binary64))))
(cbrt.f64 (pow.f64 (+.f64 x y) #s(literal 3 binary64)))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (*.f64 x y) (*.f64 z (cbrt.f64 (pow.f64 (+.f64 x y) #s(literal 3 binary64)))))))
(sqrt.f64 (+.f64 (*.f64 x y) (*.f64 z (cbrt.f64 (pow.f64 (+.f64 x y) #s(literal 3 binary64))))))
(sqrt.f64 (+.f64 (*.f64 x y) (+.f64 (*.f64 (/.f64 y x) (*.f64 z x)) (*.f64 z x))))
(+.f64 (*.f64 x y) (+.f64 (*.f64 (/.f64 y x) (*.f64 z x)) (*.f64 z x)))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 y x))) (*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 y x))))
(sqrt.f64 (/.f64 y x))
(pow.f64 (+.f64 x y) #s(literal 3 binary64))
Outputs
(-.f64 (exp.f64 (log1p.f64 (*.f64 (*.f64 x z) (+.f64 (/.f64 y x) #s(literal 1 binary64))))) #s(literal 1 binary64))
(-.f64 (/.f64 (pow.f64 (*.f64 (/.f64 y x) (*.f64 x z)) #s(literal 2 binary64)) (*.f64 (*.f64 x z) (-.f64 (/.f64 y x) #s(literal 1 binary64)))) (/.f64 (pow.f64 (*.f64 x z) #s(literal 2 binary64)) (*.f64 (*.f64 x z) (-.f64 (/.f64 y x) #s(literal 1 binary64)))))
(*.f64 x (*.f64 z (+.f64 (/.f64 y x) #s(literal 1 binary64))))
(*.f64 (*.f64 x z) (+.f64 (/.f64 y x) #s(literal 1 binary64)))
(*.f64 #s(literal 1 binary64) (*.f64 (*.f64 x z) (+.f64 (/.f64 y x) #s(literal 1 binary64))))
(*.f64 (+.f64 (/.f64 y x) #s(literal 1 binary64)) (*.f64 x z))
(*.f64 (*.f64 z (+.f64 (/.f64 y x) #s(literal 1 binary64))) x)
(*.f64 (pow.f64 (cbrt.f64 (*.f64 (*.f64 x z) (+.f64 (/.f64 y x) #s(literal 1 binary64)))) #s(literal 2 binary64)) (cbrt.f64 (*.f64 (*.f64 x z) (+.f64 (/.f64 y x) #s(literal 1 binary64)))))
(*.f64 (sqrt.f64 (*.f64 (*.f64 x z) (+.f64 (/.f64 y x) #s(literal 1 binary64)))) (sqrt.f64 (*.f64 (*.f64 x z) (+.f64 (/.f64 y x) #s(literal 1 binary64)))))
(*.f64 (+.f64 (pow.f64 (*.f64 (/.f64 y x) (*.f64 x z)) #s(literal 3 binary64)) (pow.f64 (*.f64 x z) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (*.f64 (/.f64 y x) (*.f64 x z)) #s(literal 2 binary64)) (*.f64 (*.f64 x z) (-.f64 (*.f64 x z) (*.f64 (/.f64 y x) (*.f64 x z)))))))
(*.f64 (-.f64 (pow.f64 (*.f64 (/.f64 y x) (*.f64 x z)) #s(literal 2 binary64)) (pow.f64 (*.f64 x z) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x z) (-.f64 (/.f64 y x) #s(literal 1 binary64)))))
(*.f64 (*.f64 (+.f64 (/.f64 y x) #s(literal 1 binary64)) #s(literal 1 binary64)) (*.f64 x z))
(*.f64 (*.f64 (+.f64 (/.f64 y x) #s(literal 1 binary64)) x) z)
(*.f64 (*.f64 (+.f64 (/.f64 y x) #s(literal 1 binary64)) (pow.f64 (cbrt.f64 (*.f64 x z)) #s(literal 2 binary64))) (cbrt.f64 (*.f64 x z)))
(*.f64 (*.f64 (+.f64 (/.f64 y x) #s(literal 1 binary64)) (sqrt.f64 (*.f64 x z))) (sqrt.f64 (*.f64 x z)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (pow.f64 (*.f64 (/.f64 y x) (*.f64 x z)) #s(literal 2 binary64)) (*.f64 (*.f64 x z) (-.f64 (*.f64 x z) (*.f64 (/.f64 y x) (*.f64 x z))))) (+.f64 (pow.f64 (*.f64 (/.f64 y x) (*.f64 x z)) #s(literal 3 binary64)) (pow.f64 (*.f64 x z) #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 x z) (-.f64 (/.f64 y x) #s(literal 1 binary64))) (-.f64 (pow.f64 (*.f64 (/.f64 y x) (*.f64 x z)) #s(literal 2 binary64)) (pow.f64 (*.f64 x z) #s(literal 2 binary64)))))
(/.f64 (+.f64 (pow.f64 (*.f64 (/.f64 y x) (*.f64 x z)) #s(literal 3 binary64)) (pow.f64 (*.f64 x z) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 (/.f64 y x) (*.f64 x z)) #s(literal 2 binary64)) (*.f64 (*.f64 x z) (-.f64 (*.f64 x z) (*.f64 (/.f64 y x) (*.f64 x z))))))
(/.f64 (-.f64 (pow.f64 (*.f64 (/.f64 y x) (*.f64 x z)) #s(literal 2 binary64)) (pow.f64 (*.f64 x z) #s(literal 2 binary64))) (*.f64 (*.f64 x z) (-.f64 (/.f64 y x) #s(literal 1 binary64))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 (/.f64 y x) (*.f64 x z)) #s(literal 3 binary64)) (pow.f64 (*.f64 x z) #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (*.f64 (/.f64 y x) (*.f64 x z)) #s(literal 2 binary64)) (*.f64 (*.f64 x z) (-.f64 (*.f64 x z) (*.f64 (/.f64 y x) (*.f64 x z)))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (/.f64 y x) (*.f64 x z)) #s(literal 2 binary64)) (pow.f64 (*.f64 x z) #s(literal 2 binary64)))) (neg.f64 (*.f64 (*.f64 x z) (-.f64 (/.f64 y x) #s(literal 1 binary64)))))
(/.f64 (+.f64 (pow.f64 (*.f64 x z) #s(literal 3 binary64)) (pow.f64 (*.f64 (/.f64 y x) (*.f64 x z)) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 x z) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 (/.f64 y x) (*.f64 x z)) #s(literal 2 binary64)) (*.f64 (*.f64 x z) (*.f64 (/.f64 y x) (*.f64 x z))))))
(/.f64 (-.f64 (pow.f64 (*.f64 x z) #s(literal 2 binary64)) (pow.f64 (*.f64 (/.f64 y x) (*.f64 x z)) #s(literal 2 binary64))) (-.f64 (*.f64 x z) (*.f64 (/.f64 y x) (*.f64 x z))))
(pow.f64 (*.f64 (*.f64 x z) (+.f64 (/.f64 y x) #s(literal 1 binary64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 (*.f64 x z) (+.f64 (/.f64 y x) #s(literal 1 binary64)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 (*.f64 x z) (+.f64 (/.f64 y x) #s(literal 1 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 (*.f64 x z) (+.f64 (/.f64 y x) #s(literal 1 binary64)))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 (*.f64 x z) (+.f64 (/.f64 y x) #s(literal 1 binary64))) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 (+.f64 (/.f64 y x) #s(literal 1 binary64))) (*.f64 x z)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (*.f64 x z) (+.f64 (/.f64 y x) #s(literal 1 binary64))))))
(cbrt.f64 (pow.f64 (*.f64 (*.f64 x z) (+.f64 (/.f64 y x) #s(literal 1 binary64))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 (*.f64 x z) (+.f64 (/.f64 y x) #s(literal 1 binary64)))))
(log1p.f64 (expm1.f64 (*.f64 (*.f64 x z) (+.f64 (/.f64 y x) #s(literal 1 binary64)))))
(exp.f64 (+.f64 (log1p.f64 (/.f64 y x)) (log.f64 (*.f64 x z))))
(exp.f64 (*.f64 (+.f64 (log1p.f64 (/.f64 y x)) (log.f64 (*.f64 x z))) #s(literal 1 binary64)))
(fma.f64 x z (*.f64 (/.f64 y x) (*.f64 x z)))
(fma.f64 (/.f64 y x) (*.f64 x z) (*.f64 x z))
(fma.f64 z x (*.f64 (/.f64 y x) (*.f64 x z)))
(fma.f64 (*.f64 x z) (/.f64 y x) (*.f64 x z))
(fma.f64 (sqrt.f64 (*.f64 x z)) (sqrt.f64 (*.f64 x z)) (*.f64 (/.f64 y x) (*.f64 x z)))
(fma.f64 #s(literal 1 binary64) (*.f64 x z) (*.f64 (/.f64 y x) (*.f64 x z)))
(fma.f64 #s(literal 1 binary64) (*.f64 (/.f64 y x) (*.f64 x z)) (*.f64 x z))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 x z)) #s(literal 2 binary64)) (cbrt.f64 (*.f64 x z)) (*.f64 (/.f64 y x) (*.f64 x z)))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 (/.f64 y x) (*.f64 x z))) #s(literal 2 binary64)) (cbrt.f64 (*.f64 (/.f64 y x) (*.f64 x z))) (*.f64 x z))
(fma.f64 (sqrt.f64 (*.f64 (/.f64 y x) (*.f64 x z))) (sqrt.f64 (*.f64 (/.f64 y x) (*.f64 x z))) (*.f64 x z))
(fma.f64 (*.f64 (/.f64 y x) z) x (*.f64 x z))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (/.f64 y x) (*.f64 x z)))) #s(literal 1 binary64))
(/.f64 (*.f64 x z) (/.f64 x y))
(/.f64 #s(literal 1 binary64) (/.f64 x (*.f64 y (*.f64 x z))))
(/.f64 (*.f64 y (*.f64 x z)) x)
(/.f64 (neg.f64 (*.f64 y (*.f64 x z))) (neg.f64 x))
(pow.f64 (*.f64 (/.f64 y x) (*.f64 x z)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 (/.f64 y x) (*.f64 x z))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 (/.f64 y x) (*.f64 x z)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 (/.f64 y x) (*.f64 x z))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 (/.f64 y x) (*.f64 x z)) #s(literal 2 binary64)))
(log.f64 (pow.f64 (pow.f64 (exp.f64 x) z) (/.f64 y x)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (/.f64 y x) (*.f64 x z)))))
(cbrt.f64 (pow.f64 (*.f64 (/.f64 y x) (*.f64 x z)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 (/.f64 y x) (*.f64 x z))))
(log1p.f64 (expm1.f64 (*.f64 (/.f64 y x) (*.f64 x z))))
(exp.f64 (log.f64 (*.f64 (/.f64 y x) (*.f64 x z))))
(exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 y x) (*.f64 x z))) #s(literal 1 binary64)))
(-.f64 (+.f64 (/.f64 y x) #s(literal 1 binary64)) #s(literal 1 binary64))
(*.f64 y (/.f64 #s(literal 1 binary64) x))
(*.f64 #s(literal 1 binary64) (/.f64 y x))
(*.f64 (sqrt.f64 (/.f64 y x)) (sqrt.f64 (/.f64 y x)))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 y x)) #s(literal 2 binary64)) (cbrt.f64 (/.f64 y x)))
(*.f64 (neg.f64 y) (/.f64 #s(literal 1 binary64) (neg.f64 x)))
(*.f64 (*.f64 (sqrt.f64 (/.f64 y x)) (pow.f64 (/.f64 y x) #s(literal 1/4 binary64))) (pow.f64 (/.f64 y x) #s(literal 1/4 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (/.f64 y (cbrt.f64 x)))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 y (sqrt.f64 x)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (cbrt.f64 y) x))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 (/.f64 y x)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (sqrt.f64 x)) (/.f64 (cbrt.f64 y) (sqrt.f64 x)))
(*.f64 (/.f64 (sqrt.f64 y) #s(literal 1 binary64)) (/.f64 (sqrt.f64 y) x))
(*.f64 (/.f64 (sqrt.f64 y) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (/.f64 (sqrt.f64 y) (cbrt.f64 x)))
(*.f64 (*.f64 (sqrt.f64 (/.f64 y x)) (cbrt.f64 (/.f64 y x))) (cbrt.f64 (sqrt.f64 (/.f64 y x))))
(pow.f64 (/.f64 y x) #s(literal 1 binary64))
(pow.f64 (sqrt.f64 (/.f64 y x)) #s(literal 2 binary64))
(pow.f64 (cbrt.f64 (/.f64 y x)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (/.f64 y x) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (/.f64 x y) #s(literal -1 binary64))
(neg.f64 (/.f64 y (neg.f64 x)))
(neg.f64 (/.f64 (neg.f64 y) x))
(sqrt.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)))
(log.f64 (exp.f64 (/.f64 y x)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 y x))))
(cbrt.f64 (pow.f64 (/.f64 y x) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (/.f64 y x)))
(log1p.f64 (expm1.f64 (/.f64 y x)))
(exp.f64 (log.f64 (/.f64 y x)))
(exp.f64 (*.f64 (log.f64 (/.f64 y x)) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 y z))))) #s(literal 1 binary64))
(pow.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 y z))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 y z)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 y z))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 y z)))) #s(literal 2 binary64))
(sqrt.f64 (*.f64 (*.f64 y z) #s(literal 4 binary64)))
(log.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (sqrt.f64 (*.f64 y z))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 y z))))))
(cbrt.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 y z))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 y z)))))
(log1p.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 y z)))))
(exp.f64 (log.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 y z)))))
(exp.f64 (*.f64 (log.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 y z)))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (*.f64 y z)))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 y z)))
(*.f64 (cbrt.f64 (*.f64 y z)) (cbrt.f64 (sqrt.f64 (*.f64 y z))))
(*.f64 (sqrt.f64 z) (sqrt.f64 y))
(*.f64 (sqrt.f64 y) (sqrt.f64 z))
(*.f64 (pow.f64 (*.f64 y z) #s(literal 1/4 binary64)) (pow.f64 (*.f64 y z) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/2 binary64)) (sqrt.f64 (*.f64 y z)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (*.f64 y z)) #s(literal 2 binary64)) #s(literal 1/2 binary64)) (pow.f64 (cbrt.f64 (*.f64 y z)) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 y z)) #s(literal 2 binary64))) (sqrt.f64 (cbrt.f64 (*.f64 y z))))
(pow.f64 (*.f64 y z) #s(literal 1/2 binary64))
(pow.f64 (sqrt.f64 (*.f64 y z)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (sqrt.f64 (*.f64 y z))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 y z) #s(literal 3/2 binary64)) #s(literal 1/3 binary64))
(pow.f64 (pow.f64 (*.f64 y z) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(fabs.f64 (sqrt.f64 (*.f64 y z)))
(log.f64 (exp.f64 (sqrt.f64 (*.f64 y z))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (sqrt.f64 (*.f64 y z)))))
(cbrt.f64 (pow.f64 (*.f64 y z) #s(literal 3/2 binary64)))
(expm1.f64 (log1p.f64 (sqrt.f64 (*.f64 y z))))
(log1p.f64 (expm1.f64 (sqrt.f64 (*.f64 y z))))
(exp.f64 (log.f64 (sqrt.f64 (*.f64 y z))))
(exp.f64 (*.f64 (log.f64 (*.f64 y z)) #s(literal 1/2 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 y z))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 y z))) #s(literal 1 binary64))
(pow.f64 (*.f64 y z) #s(literal 1 binary64))
(pow.f64 (sqrt.f64 (*.f64 y z)) #s(literal 2 binary64))
(pow.f64 (cbrt.f64 (*.f64 y z)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 y z) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (*.f64 y z) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(sqrt.f64 (pow.f64 (*.f64 y z) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 y) z))
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(cbrt.f64 (pow.f64 (*.f64 y z) #s(literal 3 binary64)))
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(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (sqrt.f64 (/.f64 y x)))))
(cbrt.f64 (pow.f64 (/.f64 y x) #s(literal 3/2 binary64)))
(expm1.f64 (log1p.f64 (sqrt.f64 (/.f64 y x))))
(log1p.f64 (expm1.f64 (sqrt.f64 (/.f64 y x))))
(exp.f64 (log.f64 (sqrt.f64 (/.f64 y x))))
(exp.f64 (*.f64 (log.f64 (/.f64 y x)) #s(literal 1/2 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 y x))) #s(literal 1 binary64)))
(+.f64 (*.f64 (pow.f64 (+.f64 y x) #s(literal 2 binary64)) y) (*.f64 (pow.f64 (+.f64 y x) #s(literal 2 binary64)) x))
(+.f64 (*.f64 (pow.f64 (+.f64 y x) #s(literal 2 binary64)) x) (*.f64 (pow.f64 (+.f64 y x) #s(literal 2 binary64)) y))
(+.f64 (*.f64 y (pow.f64 (+.f64 y x) #s(literal 2 binary64))) (*.f64 x (pow.f64 (+.f64 y x) #s(literal 2 binary64))))
(+.f64 (*.f64 x (pow.f64 (+.f64 y x) #s(literal 2 binary64))) (*.f64 y (pow.f64 (+.f64 y x) #s(literal 2 binary64))))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (+.f64 y x) #s(literal 3 binary64)))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (pow.f64 (+.f64 y x) #s(literal 3 binary64)))
(*.f64 (+.f64 y x) (pow.f64 (+.f64 y x) #s(literal 2 binary64)))
(*.f64 (pow.f64 (+.f64 y x) #s(literal 2 binary64)) (+.f64 y x))
(*.f64 (pow.f64 (+.f64 y x) #s(literal 3/2 binary64)) (pow.f64 (+.f64 y x) #s(literal 3/2 binary64)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 y x)) #s(literal 2 binary64)) #s(literal 3 binary64)) (+.f64 y x))
(*.f64 (pow.f64 (sqrt.f64 (+.f64 y x)) #s(literal 3 binary64)) (pow.f64 (sqrt.f64 (+.f64 y x)) #s(literal 3 binary64)))
(*.f64 (*.f64 (pow.f64 (+.f64 y x) #s(literal 2 binary64)) #s(literal 1 binary64)) (+.f64 y x))
(*.f64 (*.f64 (pow.f64 (+.f64 y x) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 (+.f64 y x)) #s(literal 2 binary64))) (cbrt.f64 (+.f64 y x)))
(*.f64 (*.f64 (pow.f64 (+.f64 y x) #s(literal 2 binary64)) (sqrt.f64 (+.f64 y x))) (sqrt.f64 (+.f64 y x)))
(/.f64 (pow.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) #s(literal 3 binary64)) (pow.f64 (fma.f64 x x (*.f64 y (-.f64 y x))) #s(literal 3 binary64)))
(/.f64 (pow.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 (-.f64 x y) #s(literal 3 binary64)))
(sqrt.f64 (pow.f64 (+.f64 y x) #s(literal 6 binary64)))
(log.f64 (exp.f64 (pow.f64 (+.f64 y x) #s(literal 3 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (pow.f64 (+.f64 y x) #s(literal 3 binary64)))))
(cbrt.f64 (pow.f64 (pow.f64 (+.f64 y x) #s(literal 3 binary64)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (pow.f64 (+.f64 y x) #s(literal 3 binary64))))
(log1p.f64 (expm1.f64 (pow.f64 (+.f64 y x) #s(literal 3 binary64))))
(exp.f64 (*.f64 #s(literal 3 binary64) (log.f64 (+.f64 y x))))
(exp.f64 (*.f64 (*.f64 #s(literal 3 binary64) (log.f64 (+.f64 y x))) #s(literal 1 binary64)))

simplify1.2s (8.1%)

Algorithm
egg-herbie
Rules
680×distribute-lft-in
675×distribute-rgt-in
492×*-commutative
252×times-frac
219×+-commutative
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0163747616
1438145405
Stop Event
node limit
Counts
984 → 916
Calls
Call 1
Inputs
(*.f64 x z)
(+.f64 (*.f64 x z) (*.f64 y z))
(+.f64 (*.f64 x z) (*.f64 y z))
(+.f64 (*.f64 x z) (*.f64 y z))
(*.f64 y z)
(*.f64 y (+.f64 z (/.f64 (*.f64 x z) y)))
(*.f64 y (+.f64 z (/.f64 (*.f64 x z) y)))
(*.f64 y (+.f64 z (/.f64 (*.f64 x z) y)))
(*.f64 y z)
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) z) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) y)))))
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) z) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) y)))))
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) z) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) y)))))
(*.f64 y z)
(+.f64 (*.f64 x z) (*.f64 y z))
(+.f64 (*.f64 x z) (*.f64 y z))
(+.f64 (*.f64 x z) (*.f64 y z))
(*.f64 x z)
(*.f64 x (+.f64 z (/.f64 (*.f64 y z) x)))
(*.f64 x (+.f64 z (/.f64 (*.f64 y z) x)))
(*.f64 x (+.f64 z (/.f64 (*.f64 y z) x)))
(*.f64 x z)
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) z) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 y z) x)))))
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) z) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 y z) x)))))
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) z) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 y z) x)))))
(*.f64 z (+.f64 x y))
(*.f64 z (+.f64 x y))
(*.f64 z (+.f64 x y))
(*.f64 z (+.f64 x y))
(*.f64 z (+.f64 x y))
(*.f64 z (+.f64 x y))
(*.f64 z (+.f64 x y))
(*.f64 z (+.f64 x y))
(*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1 binary64) y))))
(*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1 binary64) y))))
(*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1 binary64) y))))
(*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1 binary64) y))))
(*.f64 y z)
(*.f64 y z)
(*.f64 y z)
(*.f64 y z)
(*.f64 y z)
(*.f64 y z)
(*.f64 y z)
(*.f64 y z)
(*.f64 y z)
(*.f64 y z)
(*.f64 y z)
(*.f64 y z)
(*.f64 y z)
(*.f64 y z)
(*.f64 y z)
(*.f64 y z)
(*.f64 y z)
(*.f64 y z)
(*.f64 y z)
(*.f64 y z)
(*.f64 y z)
(*.f64 y z)
(*.f64 y z)
(*.f64 y z)
(*.f64 y z)
(*.f64 y z)
(*.f64 y z)
(*.f64 y z)
(*.f64 y z)
(*.f64 y z)
(*.f64 y z)
(*.f64 y z)
(*.f64 y z)
(*.f64 y z)
(*.f64 y z)
(*.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) (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)))
(*.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))))
(sqrt.f64 (*.f64 y z))
(sqrt.f64 (*.f64 y z))
(sqrt.f64 (*.f64 y z))
(sqrt.f64 (*.f64 y z))
(sqrt.f64 (*.f64 y z))
(sqrt.f64 (*.f64 y z))
(sqrt.f64 (*.f64 y z))
(sqrt.f64 (*.f64 y z))
(*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 (*.f64 y z)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 (*.f64 y z)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 (*.f64 y z)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 (*.f64 y z)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))
(sqrt.f64 (*.f64 y z))
(sqrt.f64 (*.f64 y z))
(sqrt.f64 (*.f64 y z))
(sqrt.f64 (*.f64 y z))
(sqrt.f64 (*.f64 y z))
(sqrt.f64 (*.f64 y z))
(sqrt.f64 (*.f64 y z))
(sqrt.f64 (*.f64 y z))
(*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 (*.f64 y z)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 (*.f64 y z)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 (*.f64 y z)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 (*.f64 y z)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))
(*.f64 y z)
(*.f64 y z)
(*.f64 y z)
(*.f64 y z)
(*.f64 y z)
(*.f64 y z)
(*.f64 y z)
(*.f64 y z)
(*.f64 y z)
(*.f64 y z)
(*.f64 y z)
(*.f64 y z)
(*.f64 y z)
(*.f64 y z)
(*.f64 y z)
(*.f64 y z)
(*.f64 y z)
(*.f64 y z)
(*.f64 y z)
(*.f64 y z)
(*.f64 y z)
(*.f64 y z)
(*.f64 y z)
(*.f64 y z)
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 x z)))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 x z)))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 x z)))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 x z)))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 x z)))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 x z)))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 x z)))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 x z)))
(*.f64 #s(literal -2 binary64) (*.f64 (sqrt.f64 (*.f64 x z)) (cbrt.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64)))))
(*.f64 #s(literal -2 binary64) (*.f64 (sqrt.f64 (*.f64 x z)) (cbrt.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64)))))
(*.f64 #s(literal -2 binary64) (*.f64 (sqrt.f64 (*.f64 x z)) (cbrt.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64)))))
(*.f64 #s(literal -2 binary64) (*.f64 (sqrt.f64 (*.f64 x z)) (cbrt.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64)))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 x z)))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 x z)))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 x z)))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 x z)))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 x z)))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 x z)))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 x z)))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 x z)))
(*.f64 #s(literal -2 binary64) (*.f64 (sqrt.f64 (*.f64 x z)) (cbrt.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64)))))
(*.f64 #s(literal -2 binary64) (*.f64 (sqrt.f64 (*.f64 x z)) (cbrt.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64)))))
(*.f64 #s(literal -2 binary64) (*.f64 (sqrt.f64 (*.f64 x z)) (cbrt.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64)))))
(*.f64 #s(literal -2 binary64) (*.f64 (sqrt.f64 (*.f64 x z)) (cbrt.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64)))))
(sqrt.f64 (*.f64 x z))
(sqrt.f64 (*.f64 x z))
(sqrt.f64 (*.f64 x z))
(sqrt.f64 (*.f64 x z))
(sqrt.f64 (*.f64 x z))
(sqrt.f64 (*.f64 x z))
(sqrt.f64 (*.f64 x z))
(sqrt.f64 (*.f64 x z))
(*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 (*.f64 x z)) (cbrt.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64)))))
(*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 (*.f64 x z)) (cbrt.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64)))))
(*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 (*.f64 x z)) (cbrt.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64)))))
(*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 (*.f64 x z)) (cbrt.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64)))))
(sqrt.f64 (*.f64 x z))
(sqrt.f64 (*.f64 x z))
(sqrt.f64 (*.f64 x z))
(sqrt.f64 (*.f64 x z))
(sqrt.f64 (*.f64 x z))
(sqrt.f64 (*.f64 x z))
(sqrt.f64 (*.f64 x z))
(sqrt.f64 (*.f64 x z))
(*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 (*.f64 x z)) (cbrt.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64)))))
(*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 (*.f64 x z)) (cbrt.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64)))))
(*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 (*.f64 x z)) (cbrt.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64)))))
(*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 (*.f64 x z)) (cbrt.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64)))))
(sqrt.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))))
(sqrt.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))))
(sqrt.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))))
(sqrt.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))))
(sqrt.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))))
(sqrt.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))))
(sqrt.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))))
(sqrt.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))))
(*.f64 (sqrt.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64)))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))
(*.f64 (sqrt.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64)))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))
(*.f64 (sqrt.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64)))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))
(*.f64 (sqrt.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64)))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))
(sqrt.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))))
(sqrt.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))))
(sqrt.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))))
(sqrt.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))))
(sqrt.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))))
(sqrt.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))))
(sqrt.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))))
(sqrt.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))))
(*.f64 (sqrt.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64)))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))
(*.f64 (sqrt.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64)))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))
(*.f64 (sqrt.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64)))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))
(*.f64 (sqrt.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64)))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))
(sqrt.f64 (/.f64 x y))
(sqrt.f64 (/.f64 x y))
(sqrt.f64 (/.f64 x y))
(sqrt.f64 (/.f64 x y))
(sqrt.f64 (/.f64 x y))
(sqrt.f64 (/.f64 x y))
(sqrt.f64 (/.f64 x y))
(sqrt.f64 (/.f64 x y))
(sqrt.f64 (/.f64 x y))
(sqrt.f64 (/.f64 x y))
(sqrt.f64 (/.f64 x y))
(sqrt.f64 (/.f64 x y))
(sqrt.f64 (/.f64 x y))
(sqrt.f64 (/.f64 x y))
(sqrt.f64 (/.f64 x y))
(sqrt.f64 (/.f64 x y))
(sqrt.f64 (/.f64 x y))
(sqrt.f64 (/.f64 x y))
(sqrt.f64 (/.f64 x y))
(sqrt.f64 (/.f64 x y))
(*.f64 #s(literal -1 binary64) (sqrt.f64 (/.f64 x y)))
(*.f64 #s(literal -1 binary64) (sqrt.f64 (/.f64 x y)))
(*.f64 #s(literal -1 binary64) (sqrt.f64 (/.f64 x y)))
(*.f64 #s(literal -1 binary64) (sqrt.f64 (/.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 z (+.f64 x y))
(*.f64 y z)
(+.f64 (*.f64 x z) (*.f64 y z))
(+.f64 (*.f64 x z) (*.f64 y z))
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(+.f64 (*.f64 z (sqrt.f64 (/.f64 x y))) (*.f64 (*.f64 z (/.f64 y x)) (sqrt.f64 (/.f64 x y))))
(+.f64 (*.f64 (/.f64 y x) (*.f64 (sqrt.f64 (/.f64 x y)) z)) (*.f64 (sqrt.f64 (/.f64 x y)) z))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (sqrt.f64 (/.f64 x y)) (*.f64 z (+.f64 (/.f64 y x) #s(literal 1 binary64)))))) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (/.f64 y x)) (*.f64 z (+.f64 (/.f64 y x) #s(literal 1 binary64)))))
(/.f64 (*.f64 z (+.f64 (/.f64 y x) #s(literal 1 binary64))) (sqrt.f64 (/.f64 y x)))
(/.f64 (neg.f64 (*.f64 z (+.f64 (/.f64 y x) #s(literal 1 binary64)))) (neg.f64 (sqrt.f64 (/.f64 y x))))
(pow.f64 (*.f64 (sqrt.f64 (/.f64 x y)) (*.f64 z (+.f64 (/.f64 y x) #s(literal 1 binary64)))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 (sqrt.f64 (/.f64 x y)) (*.f64 z (+.f64 (/.f64 y x) #s(literal 1 binary64))))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 (sqrt.f64 (/.f64 x y)) (*.f64 z (+.f64 (/.f64 y x) #s(literal 1 binary64)))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 (sqrt.f64 (/.f64 x y)) (*.f64 z (+.f64 (/.f64 y x) #s(literal 1 binary64))))) #s(literal 2 binary64))
(sqrt.f64 (*.f64 (pow.f64 (*.f64 z (+.f64 (/.f64 y x) #s(literal 1 binary64))) #s(literal 2 binary64)) (/.f64 x y)))
(log.f64 (pow.f64 (exp.f64 (sqrt.f64 (/.f64 x y))) (*.f64 z (+.f64 (/.f64 y x) #s(literal 1 binary64)))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (sqrt.f64 (/.f64 x y)) (*.f64 z (+.f64 (/.f64 y x) #s(literal 1 binary64)))))))
(cbrt.f64 (pow.f64 (*.f64 (sqrt.f64 (/.f64 x y)) (*.f64 z (+.f64 (/.f64 y x) #s(literal 1 binary64)))) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 (sqrt.f64 (/.f64 x y)) #s(literal 3 binary64)) (pow.f64 (*.f64 z (+.f64 (/.f64 y x) #s(literal 1 binary64))) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (*.f64 z (+.f64 (/.f64 y x) #s(literal 1 binary64))) #s(literal 3 binary64)) (pow.f64 (sqrt.f64 (/.f64 x y)) #s(literal 3 binary64))))
(cbrt.f64 (/.f64 (pow.f64 (*.f64 z (+.f64 (/.f64 y x) #s(literal 1 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 y x) #s(literal 3/2 binary64))))
(expm1.f64 (log1p.f64 (*.f64 (sqrt.f64 (/.f64 x y)) (*.f64 z (+.f64 (/.f64 y x) #s(literal 1 binary64))))))
(log1p.f64 (expm1.f64 (*.f64 (sqrt.f64 (/.f64 x y)) (*.f64 z (+.f64 (/.f64 y x) #s(literal 1 binary64))))))
(exp.f64 (+.f64 (log.f64 (*.f64 (sqrt.f64 (/.f64 x y)) z)) (log1p.f64 (/.f64 y x))))
(exp.f64 (*.f64 (+.f64 (log.f64 (*.f64 (sqrt.f64 (/.f64 x y)) z)) (log1p.f64 (/.f64 y x))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (/.f64 y x)))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 y x)))
(*.f64 (sqrt.f64 (/.f64 y x)) #s(literal 1 binary64))
(*.f64 (cbrt.f64 (/.f64 y x)) (cbrt.f64 (sqrt.f64 (/.f64 y x))))
(*.f64 (sqrt.f64 y) (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
(*.f64 (sqrt.f64 y) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)))
(*.f64 (pow.f64 (/.f64 y x) #s(literal 1/4 binary64)) (pow.f64 (/.f64 y x) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/2 binary64)) (sqrt.f64 (/.f64 y x)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (/.f64 y x)) #s(literal 2 binary64)) #s(literal 1/2 binary64)) (pow.f64 (cbrt.f64 (/.f64 y x)) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 y x)) #s(literal 2 binary64))) (sqrt.f64 (cbrt.f64 (/.f64 y x))))
(/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 x y)))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 x) (sqrt.f64 y)))
(/.f64 (sqrt.f64 (/.f64 y x)) #s(literal 1 binary64))
(/.f64 (sqrt.f64 y) (sqrt.f64 x))
(/.f64 (neg.f64 (sqrt.f64 (/.f64 y x))) #s(literal -1 binary64))
(/.f64 (neg.f64 (sqrt.f64 y)) (neg.f64 (sqrt.f64 x)))
(/.f64 (sqrt.f64 (neg.f64 y)) (sqrt.f64 (neg.f64 x)))
(pow.f64 (/.f64 y x) #s(literal 1/2 binary64))
(pow.f64 (sqrt.f64 (/.f64 y x)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (sqrt.f64 (/.f64 y x))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (/.f64 y x) #s(literal 3/2 binary64)) #s(literal 1/3 binary64))
(pow.f64 (pow.f64 (/.f64 y x) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(fabs.f64 (sqrt.f64 (/.f64 y x)))
(log.f64 (exp.f64 (sqrt.f64 (/.f64 y x))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (sqrt.f64 (/.f64 y x)))))
(cbrt.f64 (pow.f64 (/.f64 y x) #s(literal 3/2 binary64)))
(expm1.f64 (log1p.f64 (sqrt.f64 (/.f64 y x))))
(log1p.f64 (expm1.f64 (sqrt.f64 (/.f64 y x))))
(exp.f64 (log.f64 (sqrt.f64 (/.f64 y x))))
(exp.f64 (*.f64 (log.f64 (/.f64 y x)) #s(literal 1/2 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 y x))) #s(literal 1 binary64)))
(+.f64 (*.f64 (pow.f64 (+.f64 y x) #s(literal 2 binary64)) y) (*.f64 (pow.f64 (+.f64 y x) #s(literal 2 binary64)) x))
(+.f64 (*.f64 (pow.f64 (+.f64 y x) #s(literal 2 binary64)) x) (*.f64 (pow.f64 (+.f64 y x) #s(literal 2 binary64)) y))
(+.f64 (*.f64 y (pow.f64 (+.f64 y x) #s(literal 2 binary64))) (*.f64 x (pow.f64 (+.f64 y x) #s(literal 2 binary64))))
(+.f64 (*.f64 x (pow.f64 (+.f64 y x) #s(literal 2 binary64))) (*.f64 y (pow.f64 (+.f64 y x) #s(literal 2 binary64))))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (+.f64 y x) #s(literal 3 binary64)))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (pow.f64 (+.f64 y x) #s(literal 3 binary64)))
(*.f64 (+.f64 y x) (pow.f64 (+.f64 y x) #s(literal 2 binary64)))
(*.f64 (pow.f64 (+.f64 y x) #s(literal 2 binary64)) (+.f64 y x))
(*.f64 (pow.f64 (+.f64 y x) #s(literal 3/2 binary64)) (pow.f64 (+.f64 y x) #s(literal 3/2 binary64)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 y x)) #s(literal 2 binary64)) #s(literal 3 binary64)) (+.f64 y x))
(*.f64 (pow.f64 (sqrt.f64 (+.f64 y x)) #s(literal 3 binary64)) (pow.f64 (sqrt.f64 (+.f64 y x)) #s(literal 3 binary64)))
(*.f64 (*.f64 (pow.f64 (+.f64 y x) #s(literal 2 binary64)) #s(literal 1 binary64)) (+.f64 y x))
(*.f64 (*.f64 (pow.f64 (+.f64 y x) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 (+.f64 y x)) #s(literal 2 binary64))) (cbrt.f64 (+.f64 y x)))
(*.f64 (*.f64 (pow.f64 (+.f64 y x) #s(literal 2 binary64)) (sqrt.f64 (+.f64 y x))) (sqrt.f64 (+.f64 y x)))
(/.f64 (pow.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) #s(literal 3 binary64)) (pow.f64 (fma.f64 x x (*.f64 y (-.f64 y x))) #s(literal 3 binary64)))
(/.f64 (pow.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 (-.f64 x y) #s(literal 3 binary64)))
(sqrt.f64 (pow.f64 (+.f64 y x) #s(literal 6 binary64)))
(log.f64 (exp.f64 (pow.f64 (+.f64 y x) #s(literal 3 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (pow.f64 (+.f64 y x) #s(literal 3 binary64)))))
(cbrt.f64 (pow.f64 (pow.f64 (+.f64 y x) #s(literal 3 binary64)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (pow.f64 (+.f64 y x) #s(literal 3 binary64))))
(log1p.f64 (expm1.f64 (pow.f64 (+.f64 y x) #s(literal 3 binary64))))
(exp.f64 (*.f64 #s(literal 3 binary64) (log.f64 (+.f64 y x))))
(exp.f64 (*.f64 (*.f64 #s(literal 3 binary64) (log.f64 (+.f64 y x))) #s(literal 1 binary64)))
Outputs
(*.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 (-.f64 (neg.f64 z) (*.f64 x (/.f64 z y))) (neg.f64 y))
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) z) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) y)))))
(*.f64 (neg.f64 y) (*.f64 #s(literal -1 binary64) (+.f64 z (*.f64 x (/.f64 z y)))))
(*.f64 (-.f64 (neg.f64 z) (*.f64 x (/.f64 z y))) (neg.f64 y))
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) z) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) y)))))
(*.f64 (neg.f64 y) (*.f64 #s(literal -1 binary64) (+.f64 z (*.f64 x (/.f64 z y)))))
(*.f64 (-.f64 (neg.f64 z) (*.f64 x (/.f64 z y))) (neg.f64 y))
(*.f64 y z)
(*.f64 z y)
(+.f64 (*.f64 x z) (*.f64 y z))
(*.f64 z (+.f64 x y))
(+.f64 (*.f64 x z) (*.f64 y z))
(*.f64 z (+.f64 x y))
(+.f64 (*.f64 x z) (*.f64 y z))
(*.f64 z (+.f64 x y))
(*.f64 x z)
(*.f64 x (+.f64 z (/.f64 (*.f64 y z) x)))
(*.f64 x (+.f64 z (*.f64 z (/.f64 y x))))
(*.f64 x (*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 y x))))
(*.f64 x (+.f64 z (/.f64 (*.f64 y z) x)))
(*.f64 x (+.f64 z (*.f64 z (/.f64 y x))))
(*.f64 x (*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 y x))))
(*.f64 x (+.f64 z (/.f64 (*.f64 y z) x)))
(*.f64 x (+.f64 z (*.f64 z (/.f64 y x))))
(*.f64 x (*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 y 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 (neg.f64 x) (fma.f64 #s(literal -1 binary64) z (neg.f64 (*.f64 z (/.f64 y x)))))
(*.f64 (*.f64 z (fma.f64 #s(literal -1 binary64) (/.f64 y x) #s(literal -1 binary64))) (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 (neg.f64 (*.f64 z (/.f64 y x)))))
(*.f64 (*.f64 z (fma.f64 #s(literal -1 binary64) (/.f64 y x) #s(literal -1 binary64))) (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 (neg.f64 (*.f64 z (/.f64 y x)))))
(*.f64 (*.f64 z (fma.f64 #s(literal -1 binary64) (/.f64 y x) #s(literal -1 binary64))) (neg.f64 x))
(*.f64 z (+.f64 x y))
(*.f64 z (+.f64 x y))
(*.f64 z (+.f64 x y))
(*.f64 z (+.f64 x y))
(*.f64 z (+.f64 x y))
(*.f64 z (+.f64 x y))
(*.f64 z (+.f64 x y))
(*.f64 z (+.f64 x y))
(*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1 binary64) y))))
(*.f64 (neg.f64 z) (*.f64 #s(literal -1 binary64) (+.f64 x y)))
(*.f64 z (neg.f64 (-.f64 (neg.f64 y) x)))
(*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1 binary64) y))))
(*.f64 (neg.f64 z) (*.f64 #s(literal -1 binary64) (+.f64 x y)))
(*.f64 z (neg.f64 (-.f64 (neg.f64 y) x)))
(*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1 binary64) y))))
(*.f64 (neg.f64 z) (*.f64 #s(literal -1 binary64) (+.f64 x y)))
(*.f64 z (neg.f64 (-.f64 (neg.f64 y) x)))
(*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1 binary64) y))))
(*.f64 (neg.f64 z) (*.f64 #s(literal -1 binary64) (+.f64 x y)))
(*.f64 z (neg.f64 (-.f64 (neg.f64 y) x)))
(*.f64 y z)
(*.f64 z y)
(*.f64 y z)
(*.f64 z y)
(*.f64 y z)
(*.f64 z y)
(*.f64 y z)
(*.f64 z y)
(*.f64 y z)
(*.f64 z y)
(*.f64 y z)
(*.f64 z y)
(*.f64 y z)
(*.f64 z y)
(*.f64 y z)
(*.f64 z y)
(*.f64 y z)
(*.f64 z y)
(*.f64 y z)
(*.f64 z y)
(*.f64 y z)
(*.f64 z y)
(*.f64 y z)
(*.f64 z y)
(*.f64 y z)
(*.f64 z y)
(*.f64 y z)
(*.f64 z y)
(*.f64 y z)
(*.f64 z y)
(*.f64 y z)
(*.f64 z y)
(*.f64 y z)
(*.f64 z y)
(*.f64 y z)
(*.f64 z y)
(*.f64 y z)
(*.f64 z y)
(*.f64 y z)
(*.f64 z y)
(*.f64 y z)
(*.f64 z y)
(*.f64 y z)
(*.f64 z y)
(*.f64 y z)
(*.f64 z y)
(*.f64 y z)
(*.f64 z y)
(*.f64 y z)
(*.f64 z y)
(*.f64 y z)
(*.f64 z y)
(*.f64 y z)
(*.f64 z y)
(*.f64 y z)
(*.f64 z y)
(*.f64 y z)
(*.f64 z y)
(*.f64 y z)
(*.f64 z y)
(*.f64 y z)
(*.f64 z y)
(*.f64 y z)
(*.f64 z y)
(*.f64 y z)
(*.f64 z y)
(*.f64 y z)
(*.f64 z y)
(*.f64 y z)
(*.f64 z y)
(*.f64 y z)
(*.f64 z y)
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 y z)))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 z y)))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 y z)))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 z y)))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 y z)))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 z y)))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 y z)))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 z y)))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 y z)))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 z y)))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 y z)))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 z y)))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 y z)))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 z y)))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 y z)))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 z y)))
(*.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 z y)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))
(*.f64 #s(literal -2 binary64) (neg.f64 (sqrt.f64 (*.f64 z y))))
(*.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 z y)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))
(*.f64 #s(literal -2 binary64) (neg.f64 (sqrt.f64 (*.f64 z y))))
(*.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 z y)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))
(*.f64 #s(literal -2 binary64) (neg.f64 (sqrt.f64 (*.f64 z y))))
(*.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 z y)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))
(*.f64 #s(literal -2 binary64) (neg.f64 (sqrt.f64 (*.f64 z y))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 y z)))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 z y)))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 y z)))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 z y)))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 y z)))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 z y)))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 y z)))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 z y)))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 y z)))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 z y)))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 y z)))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 z y)))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 y z)))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 z y)))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 y z)))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 z y)))
(*.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 z y)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))
(*.f64 #s(literal -2 binary64) (neg.f64 (sqrt.f64 (*.f64 z y))))
(*.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 z y)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))
(*.f64 #s(literal -2 binary64) (neg.f64 (sqrt.f64 (*.f64 z y))))
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(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (sqrt.f64 y))
(/.f64 (sqrt.f64 y) (sqrt.f64 x))
(*.f64 (pow.f64 (/.f64 y x) #s(literal 1/4 binary64)) (pow.f64 (/.f64 y x) #s(literal 1/4 binary64)))
(*.f64 (neg.f64 (sqrt.f64 (/.f64 y x))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))
(sqrt.f64 (/.f64 y x))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/2 binary64)) (sqrt.f64 (/.f64 y x)))
(*.f64 (neg.f64 (sqrt.f64 (/.f64 y x))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))
(sqrt.f64 (/.f64 y x))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (/.f64 y x)) #s(literal 2 binary64)) #s(literal 1/2 binary64)) (pow.f64 (cbrt.f64 (/.f64 y x)) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 y x)) #s(literal 2 binary64))) (sqrt.f64 (cbrt.f64 (/.f64 y x))))
(*.f64 (fabs.f64 (cbrt.f64 (/.f64 y x))) (sqrt.f64 (cbrt.f64 (/.f64 y x))))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 y x)) #s(literal 2 binary64))) (sqrt.f64 (cbrt.f64 (/.f64 y x))))
(*.f64 (fabs.f64 (cbrt.f64 (/.f64 y x))) (sqrt.f64 (cbrt.f64 (/.f64 y x))))
(/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 x y)))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 x) (sqrt.f64 y)))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (sqrt.f64 y))
(/.f64 (sqrt.f64 y) (sqrt.f64 x))
(/.f64 (sqrt.f64 (/.f64 y x)) #s(literal 1 binary64))
(*.f64 (neg.f64 (sqrt.f64 (/.f64 y x))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))
(sqrt.f64 (/.f64 y x))
(/.f64 (sqrt.f64 y) (sqrt.f64 x))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (sqrt.f64 y))
(/.f64 (neg.f64 (sqrt.f64 (/.f64 y x))) #s(literal -1 binary64))
(*.f64 (neg.f64 (sqrt.f64 (/.f64 y x))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))
(sqrt.f64 (/.f64 y x))
(/.f64 (neg.f64 (sqrt.f64 y)) (neg.f64 (sqrt.f64 x)))
(*.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 y) (sqrt.f64 x)))
(/.f64 (sqrt.f64 (neg.f64 y)) (sqrt.f64 (neg.f64 x)))
(pow.f64 (/.f64 y x) #s(literal 1/2 binary64))
(*.f64 (neg.f64 (sqrt.f64 (/.f64 y x))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))
(sqrt.f64 (/.f64 y x))
(pow.f64 (sqrt.f64 (/.f64 y x)) #s(literal 1 binary64))
(*.f64 (neg.f64 (sqrt.f64 (/.f64 y x))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))
(sqrt.f64 (/.f64 y x))
(pow.f64 (cbrt.f64 (sqrt.f64 (/.f64 y x))) #s(literal 3 binary64))
(*.f64 (neg.f64 (sqrt.f64 (/.f64 y x))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))
(sqrt.f64 (/.f64 y x))
(pow.f64 (pow.f64 (/.f64 y x) #s(literal 3/2 binary64)) #s(literal 1/3 binary64))
(cbrt.f64 (pow.f64 (/.f64 y x) #s(literal 3/2 binary64)))
(pow.f64 (pow.f64 (/.f64 y x) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(*.f64 (neg.f64 (sqrt.f64 (/.f64 y x))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))
(sqrt.f64 (/.f64 y x))
(fabs.f64 (sqrt.f64 (/.f64 y x)))
(*.f64 (neg.f64 (sqrt.f64 (/.f64 y x))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))
(sqrt.f64 (/.f64 y x))
(log.f64 (exp.f64 (sqrt.f64 (/.f64 y x))))
(*.f64 (neg.f64 (sqrt.f64 (/.f64 y x))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))
(sqrt.f64 (/.f64 y x))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (sqrt.f64 (/.f64 y x)))))
(*.f64 (neg.f64 (sqrt.f64 (/.f64 y x))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))
(sqrt.f64 (/.f64 y x))
(cbrt.f64 (pow.f64 (/.f64 y x) #s(literal 3/2 binary64)))
(expm1.f64 (log1p.f64 (sqrt.f64 (/.f64 y x))))
(log1p.f64 (expm1.f64 (sqrt.f64 (/.f64 y x))))
(*.f64 (neg.f64 (sqrt.f64 (/.f64 y x))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))
(sqrt.f64 (/.f64 y x))
(exp.f64 (log.f64 (sqrt.f64 (/.f64 y x))))
(*.f64 (neg.f64 (sqrt.f64 (/.f64 y x))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))
(sqrt.f64 (/.f64 y x))
(exp.f64 (*.f64 (log.f64 (/.f64 y x)) #s(literal 1/2 binary64)))
(*.f64 (neg.f64 (sqrt.f64 (/.f64 y x))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))
(sqrt.f64 (/.f64 y x))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 y x))) #s(literal 1 binary64)))
(*.f64 (neg.f64 (sqrt.f64 (/.f64 y x))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))
(sqrt.f64 (/.f64 y x))
(+.f64 (*.f64 (pow.f64 (+.f64 y x) #s(literal 2 binary64)) y) (*.f64 (pow.f64 (+.f64 y x) #s(literal 2 binary64)) x))
(pow.f64 (+.f64 x y) #s(literal 3 binary64))
(+.f64 (*.f64 (pow.f64 (+.f64 y x) #s(literal 2 binary64)) x) (*.f64 (pow.f64 (+.f64 y x) #s(literal 2 binary64)) y))
(pow.f64 (+.f64 x y) #s(literal 3 binary64))
(+.f64 (*.f64 y (pow.f64 (+.f64 y x) #s(literal 2 binary64))) (*.f64 x (pow.f64 (+.f64 y x) #s(literal 2 binary64))))
(pow.f64 (+.f64 x y) #s(literal 3 binary64))
(+.f64 (*.f64 x (pow.f64 (+.f64 y x) #s(literal 2 binary64))) (*.f64 y (pow.f64 (+.f64 y x) #s(literal 2 binary64))))
(pow.f64 (+.f64 x y) #s(literal 3 binary64))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (+.f64 y x) #s(literal 3 binary64)))) #s(literal 1 binary64))
(expm1.f64 (log1p.f64 (pow.f64 (+.f64 x y) #s(literal 3 binary64))))
(*.f64 #s(literal 1 binary64) (pow.f64 (+.f64 y x) #s(literal 3 binary64)))
(pow.f64 (+.f64 x y) #s(literal 3 binary64))
(*.f64 (+.f64 y x) (pow.f64 (+.f64 y x) #s(literal 2 binary64)))
(pow.f64 (+.f64 x y) #s(literal 3 binary64))
(*.f64 (pow.f64 (+.f64 y x) #s(literal 2 binary64)) (+.f64 y x))
(pow.f64 (+.f64 x y) #s(literal 3 binary64))
(*.f64 (pow.f64 (+.f64 y x) #s(literal 3/2 binary64)) (pow.f64 (+.f64 y x) #s(literal 3/2 binary64)))
(pow.f64 (+.f64 x y) #s(literal 3 binary64))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 y x)) #s(literal 2 binary64)) #s(literal 3 binary64)) (+.f64 y x))
(pow.f64 (+.f64 x y) #s(literal 3 binary64))
(*.f64 (pow.f64 (sqrt.f64 (+.f64 y x)) #s(literal 3 binary64)) (pow.f64 (sqrt.f64 (+.f64 y x)) #s(literal 3 binary64)))
(pow.f64 (+.f64 x y) #s(literal 3 binary64))
(*.f64 (*.f64 (pow.f64 (+.f64 y x) #s(literal 2 binary64)) #s(literal 1 binary64)) (+.f64 y x))
(pow.f64 (+.f64 x y) #s(literal 3 binary64))
(*.f64 (*.f64 (pow.f64 (+.f64 y x) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 (+.f64 y x)) #s(literal 2 binary64))) (cbrt.f64 (+.f64 y x)))
(pow.f64 (+.f64 x y) #s(literal 3 binary64))
(*.f64 (*.f64 (pow.f64 (+.f64 y x) #s(literal 2 binary64)) (sqrt.f64 (+.f64 y x))) (sqrt.f64 (+.f64 y x)))
(pow.f64 (+.f64 x y) #s(literal 3 binary64))
(/.f64 (pow.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) #s(literal 3 binary64)) (pow.f64 (fma.f64 x x (*.f64 y (-.f64 y x))) #s(literal 3 binary64)))
(/.f64 (pow.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 (-.f64 x y) #s(literal 3 binary64)))
(sqrt.f64 (pow.f64 (+.f64 y x) #s(literal 6 binary64)))
(sqrt.f64 (pow.f64 (+.f64 x y) #s(literal 6 binary64)))
(log.f64 (exp.f64 (pow.f64 (+.f64 y x) #s(literal 3 binary64))))
(pow.f64 (+.f64 x y) #s(literal 3 binary64))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (pow.f64 (+.f64 y x) #s(literal 3 binary64)))))
(pow.f64 (+.f64 x y) #s(literal 3 binary64))
(cbrt.f64 (pow.f64 (pow.f64 (+.f64 y x) #s(literal 3 binary64)) #s(literal 3 binary64)))
(pow.f64 (+.f64 x y) #s(literal 3 binary64))
(expm1.f64 (log1p.f64 (pow.f64 (+.f64 y x) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (pow.f64 (+.f64 x y) #s(literal 3 binary64))))
(log1p.f64 (expm1.f64 (pow.f64 (+.f64 y x) #s(literal 3 binary64))))
(pow.f64 (+.f64 x y) #s(literal 3 binary64))
(exp.f64 (*.f64 #s(literal 3 binary64) (log.f64 (+.f64 y x))))
(pow.f64 (+.f64 x y) #s(literal 3 binary64))
(exp.f64 (*.f64 (*.f64 #s(literal 3 binary64) (log.f64 (+.f64 y x))) #s(literal 1 binary64)))
(pow.f64 (+.f64 x y) #s(literal 3 binary64))

eval165.0ms (1.1%)

Compiler

Compiled 28027 to 5332 computations (81% saved)

prune200.0ms (1.3%)

Pruning

40 alts after pruning (37 fresh and 3 done)

PrunedKeptTotal
New1121111132
Fresh92635
Picked505
Done134
Total1136401176
Accuracy
98.1%
Counts
1176 → 40
Alt Table
Click to see full alt table
StatusAccuracyProgram
3.1%
(pow.f64 (cbrt.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 z x)))) #s(literal 3 binary64))
32.3%
(pow.f64 (cbrt.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 y z)))) #s(literal 3 binary64))
37.3%
(pow.f64 (cbrt.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 x y)))) #s(literal 3 binary64))
32.4%
(+.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 x y))) (/.f64 (*.f64 z (+.f64 (/.f64 y x) #s(literal 1 binary64))) (sqrt.f64 (/.f64 y x))))
32.1%
(+.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 x y))) (*.f64 (sqrt.f64 (/.f64 x y)) z))
31.4%
(+.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 x y))) (*.f64 (neg.f64 (sqrt.f64 (/.f64 x y))) z))
40.5%
(*.f64 z (+.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 (+.f64 x y) z))) (*.f64 x (sqrt.f64 (/.f64 y (pow.f64 z #s(literal 3 binary64)))))))
38.6%
(*.f64 z (+.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 (+.f64 x y) z))) (log.f64 (pow.f64 (exp.f64 (sqrt.f64 (/.f64 (pow.f64 z #s(literal -3 binary64)) (+.f64 y x)))) (*.f64 x y)))))
32.1%
(*.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)))))))
32.7%
(*.f64 #s(literal 2 binary64) (pow.f64 (pow.f64 (*.f64 y z) #s(literal 1/4 binary64)) #s(literal 2 binary64)))
39.0%
(*.f64 #s(literal 2 binary64) (pow.f64 (pow.f64 (*.f64 x (+.f64 z y)) #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)))
48.5%
(*.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)))
37.3%
(*.f64 #s(literal 2 binary64) (pow.f64 (cbrt.f64 (sqrt.f64 (*.f64 x y))) #s(literal 3 binary64)))
5.4%
(*.f64 #s(literal 2 binary64) (*.f64 (sqrt.f64 (+.f64 y (fma.f64 y (/.f64 z x) z))) (sqrt.f64 x)))
44.1%
(*.f64 #s(literal 2 binary64) (*.f64 (sqrt.f64 z) (sqrt.f64 y)))
37.6%
(*.f64 #s(literal 2 binary64) (*.f64 (cbrt.f64 (*.f64 x y)) (cbrt.f64 (sqrt.f64 (*.f64 x y)))))
63.9%
(*.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (*.f64 x y) (+.f64 (/.f64 (*.f64 y (*.f64 x z)) x) (*.f64 z x)))))
68.1%
(*.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (*.f64 x y) (+.f64 (/.f64 (*.f64 x z) (/.f64 x y)) (*.f64 z x)))))
67.6%
(*.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (*.f64 x y) (*.f64 (+.f64 (/.f64 y x) #s(literal 1 binary64)) (*.f64 x z)))))
31.1%
(*.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (*.f64 x y) (*.f64 z (pow.f64 (sqrt.f64 y) #s(literal 2 binary64))))))
66.2%
(*.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (*.f64 x y) (*.f64 z (*.f64 x (/.f64 y x))))))
56.2%
(*.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (*.f64 x y) (*.f64 z (cbrt.f64 (pow.f64 y #s(literal 3 binary64)))))))
39.0%
(*.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (*.f64 x y) (*.f64 z x))))
34.0%
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 z (+.f64 y x))))
56.0%
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 z (+.f64 x (+.f64 y (/.f64 (*.f64 x y) z))))))
3.1%
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 z x)))
39.1%
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 x (+.f64 z y))))
21.3%
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 x (*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 y x))))))
50.0%
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 z x))))))
37.9%
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 x y)))
33.8%
(*.f64 #s(literal 2 binary64) (sqrt.f64 (fabs.f64 (*.f64 z y))))
6.9%
(*.f64 #s(literal 2 binary64) (sqrt.f64 (fabs.f64 (*.f64 x z))))
48.6%
(*.f64 #s(literal 2 binary64) (exp.f64 (*.f64 (+.f64 (log.f64 (neg.f64 (+.f64 z x))) (neg.f64 (log.f64 (/.f64 #s(literal -1 binary64) y)))) #s(literal 1/2 binary64))))
31.9%
(*.f64 #s(literal 2 binary64) (exp.f64 (*.f64 (log.f64 (*.f64 (neg.f64 z) (neg.f64 (+.f64 x y)))) #s(literal 1/2 binary64))))
3.1%
(*.f64 #s(literal 2 binary64) (exp.f64 (*.f64 (log.f64 (*.f64 z x)) #s(literal 1/2 binary64))))
28.5%
(*.f64 #s(literal 2 binary64) (cbrt.f64 (pow.f64 (*.f64 x y) #s(literal 3/2 binary64))))
6.5%
(*.f64 #s(literal 2 binary64) (cbrt.f64 (pow.f64 (fabs.f64 (*.f64 x z)) #s(literal 3/2 binary64))))
32.8%
(sqrt.f64 (*.f64 y (*.f64 z #s(literal 4 binary64))))
3.1%
(expm1.f64 (log1p.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 z x)))))
Compiler

Compiled 1701 to 828 computations (51.3% saved)

regimes243.0ms (1.6%)

Counts
80 → 3
Calls
Call 1
Inputs
(sqrt.f64 (*.f64 y (*.f64 z #s(literal 4 binary64))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 x y)))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 z x)))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 z y)))
(*.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) (sqrt.f64 (+.f64 (*.f64 x y) (*.f64 z x))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 z x))))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 x (*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 y x))))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (*.f64 x y) (*.f64 z (+.f64 y x)))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 x (+.f64 y (+.f64 z (*.f64 y (/.f64 z 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 x (+.f64 y (/.f64 (*.f64 x y) z))))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (*.f64 x y) (*.f64 z (*.f64 x (/.f64 y 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 (*.f64 x y) (*.f64 z (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 y x)))))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (*.f64 x y) (*.f64 (+.f64 (/.f64 y x) #s(literal 1 binary64)) (*.f64 x z)))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (*.f64 x y) (+.f64 (*.f64 (/.f64 y x) (*.f64 z x)) (*.f64 z x)))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (*.f64 x y) (+.f64 (/.f64 (*.f64 x z) (/.f64 x y)) (*.f64 z x)))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (*.f64 x y) (+.f64 (/.f64 (*.f64 y (*.f64 x z)) x) (*.f64 z x)))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (fabs.f64 (*.f64 x z))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (fabs.f64 (*.f64 z y))))
(*.f64 #s(literal 2 binary64) (*.f64 (sqrt.f64 y) (sqrt.f64 x)))
(*.f64 #s(literal 2 binary64) (*.f64 (sqrt.f64 z) (sqrt.f64 x)))
(*.f64 #s(literal 2 binary64) (*.f64 (sqrt.f64 z) (sqrt.f64 y)))
(*.f64 #s(literal 2 binary64) (cbrt.f64 (pow.f64 (*.f64 x y) #s(literal 3/2 binary64))))
(*.f64 #s(literal 2 binary64) (cbrt.f64 (pow.f64 (*.f64 z x) #s(literal 3/2 binary64))))
(*.f64 #s(literal 2 binary64) (exp.f64 (*.f64 (log.f64 (*.f64 x y)) #s(literal 1/2 binary64))))
(*.f64 #s(literal 2 binary64) (exp.f64 (*.f64 (log.f64 (*.f64 x z)) #s(literal 1/2 binary64))))
(*.f64 #s(literal 2 binary64) (exp.f64 (*.f64 (log.f64 (*.f64 y z)) #s(literal 1/2 binary64))))
(*.f64 #s(literal 2 binary64) (exp.f64 (*.f64 (log.f64 (*.f64 z x)) #s(literal 1/2 binary64))))
(*.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 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) (sqrt.f64 (fma.f64 x z (*.f64 y (+.f64 x z)))))
(*.f64 #s(literal 2 binary64) (pow.f64 (pow.f64 (*.f64 x (+.f64 z y)) #s(literal 1/4 binary64)) #s(literal 2 binary64)))
(*.f64 #s(literal 2 binary64) (exp.f64 (*.f64 (log.f64 (*.f64 (neg.f64 z) (neg.f64 (+.f64 x y)))) #s(literal 1/2 binary64))))
(+.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 x y))) (*.f64 (sqrt.f64 (/.f64 x y)) z))
(+.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 x y))) (*.f64 (neg.f64 (sqrt.f64 (/.f64 x y))) z))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (fma.f64 x z (*.f64 z (+.f64 y (*.f64 x (/.f64 y z)))))))
(+.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 x y))) (*.f64 (sqrt.f64 (/.f64 x y)) (*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 y x)))))
(+.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 x y))) (/.f64 (*.f64 z (+.f64 (/.f64 y x) #s(literal 1 binary64))) (sqrt.f64 (/.f64 y x))))
(+.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 x y))) (*.f64 (neg.f64 (sqrt.f64 (/.f64 x y))) (*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 y x)))))
(+.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 x y))) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 y x))) (*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 y x)))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (*.f64 x y) (*.f64 z (*.f64 x (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 y x) #s(literal 2 binary64))))))))))
(expm1.f64 (log1p.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 x y)))))
(expm1.f64 (log1p.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 z x)))))
(*.f64 #s(literal 2 binary64) (cbrt.f64 (pow.f64 (fabs.f64 (*.f64 x z)) #s(literal 3/2 binary64))))
(*.f64 #s(literal 2 binary64) (pow.f64 (cbrt.f64 (sqrt.f64 (*.f64 x y))) #s(literal 3 binary64)))
(pow.f64 (cbrt.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 x y)))) #s(literal 3 binary64))
(pow.f64 (cbrt.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 y z)))) #s(literal 3 binary64))
(pow.f64 (cbrt.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 z x)))) #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) (sqrt.f64 (+.f64 (*.f64 x y) (*.f64 z (cbrt.f64 (pow.f64 y #s(literal 3 binary64)))))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (*.f64 x y) (*.f64 z (pow.f64 (sqrt.f64 y) #s(literal 2 binary64))))))
(*.f64 #s(literal 2 binary64) (exp.f64 (*.f64 (log.f64 (fma.f64 x z (*.f64 y (+.f64 x z)))) #s(literal 1/2 binary64))))
(*.f64 #s(literal 2 binary64) (exp.f64 (*.f64 (+.f64 (log.f64 (+.f64 z x)) (neg.f64 (neg.f64 (log.f64 y)))) #s(literal 1/2 binary64))))
(*.f64 #s(literal 2 binary64) (*.f64 (sqrt.f64 (+.f64 y (fma.f64 y (/.f64 z x) z))) (sqrt.f64 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) (sqrt.f64 (+.f64 (*.f64 x y) (cbrt.f64 (pow.f64 (*.f64 z (+.f64 x y)) #s(literal 3 binary64))))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (*.f64 x y) (*.f64 z (cbrt.f64 (pow.f64 (+.f64 x y) #s(literal 3 binary64)))))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (*.f64 x y) (*.f64 z (pow.f64 (sqrt.f64 (+.f64 x y)) #s(literal 2 binary64))))))
(*.f64 #s(literal 2 binary64) (exp.f64 (*.f64 (+.f64 (log.f64 (neg.f64 (+.f64 z x))) (neg.f64 (log.f64 (/.f64 #s(literal -1 binary64) y)))) #s(literal 1/2 binary64))))
(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 z (+.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 (+.f64 x y) z))) (*.f64 x (sqrt.f64 (/.f64 y (pow.f64 z #s(literal 3 binary64)))))))
(*.f64 y (+.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 (+.f64 x z) y))) (*.f64 (*.f64 x z) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 y #s(literal 3 binary64)) (+.f64 x z)))))))
(*.f64 z (+.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 (+.f64 x y) z))) (*.f64 (*.f64 x y) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 z #s(literal 3 binary64)) (+.f64 x y)))))))
(*.f64 #s(literal 2 binary64) (*.f64 y (+.f64 (sqrt.f64 (/.f64 (+.f64 z x) y)) (*.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 z (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 y #s(literal 3 binary64)) (+.f64 z x))))))))))
(*.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 z (+.f64 (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 z (+.f64 y x))))) (*.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) (pow.f64 (cbrt.f64 (sqrt.f64 (fma.f64 x z (*.f64 y (+.f64 x z))))) #s(literal 3 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 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 #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 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 #s(literal 2 binary64) (/.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 z (+.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 (+.f64 x y) z))) (log.f64 (pow.f64 (exp.f64 (sqrt.f64 (/.f64 (pow.f64 z #s(literal -3 binary64)) (+.f64 y x)))) (*.f64 x y)))))
Outputs
(*.f64 #s(literal 2 binary64) (exp.f64 (*.f64 (+.f64 (log.f64 (neg.f64 (+.f64 z x))) (neg.f64 (log.f64 (/.f64 #s(literal -1 binary64) y)))) #s(literal 1/2 binary64))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (*.f64 x y) (*.f64 z (+.f64 y x)))))
(*.f64 z (+.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 (+.f64 x y) z))) (*.f64 x (sqrt.f64 (/.f64 y (pow.f64 z #s(literal 3 binary64)))))))
Calls

6 calls:

112.0ms
x
26.0ms
z
25.0ms
(*.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (+.f64 (*.f64 x y) (*.f64 x z)) (*.f64 y z))))
23.0ms
y
23.0ms
(+.f64 (+.f64 (*.f64 x y) (*.f64 x z)) (*.f64 y z))
Results
AccuracySegmentsBranch
91.6%3x
95.7%3y
89.3%3z
83.2%2(*.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (+.f64 (*.f64 x y) (*.f64 x z)) (*.f64 y z))))
83.2%2(sqrt.f64 (+.f64 (+.f64 (*.f64 x y) (*.f64 x z)) (*.f64 y z)))
83.2%2(+.f64 (+.f64 (*.f64 x y) (*.f64 x z)) (*.f64 y z))
Compiler

Compiled 58 to 37 computations (36.2% saved)

regimes28.0ms (0.2%)

Counts
67 → 3
Calls
Call 1
Inputs
(sqrt.f64 (*.f64 y (*.f64 z #s(literal 4 binary64))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 x y)))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 z x)))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 z y)))
(*.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) (sqrt.f64 (+.f64 (*.f64 x y) (*.f64 z x))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 z x))))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 x (*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 y x))))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (*.f64 x y) (*.f64 z (+.f64 y x)))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 x (+.f64 y (+.f64 z (*.f64 y (/.f64 z 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 x (+.f64 y (/.f64 (*.f64 x y) z))))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (*.f64 x y) (*.f64 z (*.f64 x (/.f64 y 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 (*.f64 x y) (*.f64 z (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 y x)))))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (*.f64 x y) (*.f64 (+.f64 (/.f64 y x) #s(literal 1 binary64)) (*.f64 x z)))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (*.f64 x y) (+.f64 (*.f64 (/.f64 y x) (*.f64 z x)) (*.f64 z x)))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (*.f64 x y) (+.f64 (/.f64 (*.f64 x z) (/.f64 x y)) (*.f64 z x)))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (*.f64 x y) (+.f64 (/.f64 (*.f64 y (*.f64 x z)) x) (*.f64 z x)))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (fabs.f64 (*.f64 x z))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (fabs.f64 (*.f64 z y))))
(*.f64 #s(literal 2 binary64) (*.f64 (sqrt.f64 y) (sqrt.f64 x)))
(*.f64 #s(literal 2 binary64) (*.f64 (sqrt.f64 z) (sqrt.f64 x)))
(*.f64 #s(literal 2 binary64) (*.f64 (sqrt.f64 z) (sqrt.f64 y)))
(*.f64 #s(literal 2 binary64) (cbrt.f64 (pow.f64 (*.f64 x y) #s(literal 3/2 binary64))))
(*.f64 #s(literal 2 binary64) (cbrt.f64 (pow.f64 (*.f64 z x) #s(literal 3/2 binary64))))
(*.f64 #s(literal 2 binary64) (exp.f64 (*.f64 (log.f64 (*.f64 x y)) #s(literal 1/2 binary64))))
(*.f64 #s(literal 2 binary64) (exp.f64 (*.f64 (log.f64 (*.f64 x z)) #s(literal 1/2 binary64))))
(*.f64 #s(literal 2 binary64) (exp.f64 (*.f64 (log.f64 (*.f64 y z)) #s(literal 1/2 binary64))))
(*.f64 #s(literal 2 binary64) (exp.f64 (*.f64 (log.f64 (*.f64 z x)) #s(literal 1/2 binary64))))
(*.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 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) (sqrt.f64 (fma.f64 x z (*.f64 y (+.f64 x z)))))
(*.f64 #s(literal 2 binary64) (pow.f64 (pow.f64 (*.f64 x (+.f64 z y)) #s(literal 1/4 binary64)) #s(literal 2 binary64)))
(*.f64 #s(literal 2 binary64) (exp.f64 (*.f64 (log.f64 (*.f64 (neg.f64 z) (neg.f64 (+.f64 x y)))) #s(literal 1/2 binary64))))
(+.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 x y))) (*.f64 (sqrt.f64 (/.f64 x y)) z))
(+.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 x y))) (*.f64 (neg.f64 (sqrt.f64 (/.f64 x y))) z))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (fma.f64 x z (*.f64 z (+.f64 y (*.f64 x (/.f64 y z)))))))
(+.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 x y))) (*.f64 (sqrt.f64 (/.f64 x y)) (*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 y x)))))
(+.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 x y))) (/.f64 (*.f64 z (+.f64 (/.f64 y x) #s(literal 1 binary64))) (sqrt.f64 (/.f64 y x))))
(+.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 x y))) (*.f64 (neg.f64 (sqrt.f64 (/.f64 x y))) (*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 y x)))))
(+.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 x y))) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 y x))) (*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 y x)))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (*.f64 x y) (*.f64 z (*.f64 x (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 y x) #s(literal 2 binary64))))))))))
(expm1.f64 (log1p.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 x y)))))
(expm1.f64 (log1p.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 z x)))))
(*.f64 #s(literal 2 binary64) (cbrt.f64 (pow.f64 (fabs.f64 (*.f64 x z)) #s(literal 3/2 binary64))))
(*.f64 #s(literal 2 binary64) (pow.f64 (cbrt.f64 (sqrt.f64 (*.f64 x y))) #s(literal 3 binary64)))
(pow.f64 (cbrt.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 x y)))) #s(literal 3 binary64))
(pow.f64 (cbrt.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 y z)))) #s(literal 3 binary64))
(pow.f64 (cbrt.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 z x)))) #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) (sqrt.f64 (+.f64 (*.f64 x y) (*.f64 z (cbrt.f64 (pow.f64 y #s(literal 3 binary64)))))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (*.f64 x y) (*.f64 z (pow.f64 (sqrt.f64 y) #s(literal 2 binary64))))))
(*.f64 #s(literal 2 binary64) (exp.f64 (*.f64 (log.f64 (fma.f64 x z (*.f64 y (+.f64 x z)))) #s(literal 1/2 binary64))))
(*.f64 #s(literal 2 binary64) (exp.f64 (*.f64 (+.f64 (log.f64 (+.f64 z x)) (neg.f64 (neg.f64 (log.f64 y)))) #s(literal 1/2 binary64))))
(*.f64 #s(literal 2 binary64) (*.f64 (sqrt.f64 (+.f64 y (fma.f64 y (/.f64 z x) z))) (sqrt.f64 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) (sqrt.f64 (+.f64 (*.f64 x y) (cbrt.f64 (pow.f64 (*.f64 z (+.f64 x y)) #s(literal 3 binary64))))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (*.f64 x y) (*.f64 z (cbrt.f64 (pow.f64 (+.f64 x y) #s(literal 3 binary64)))))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (*.f64 x y) (*.f64 z (pow.f64 (sqrt.f64 (+.f64 x y)) #s(literal 2 binary64))))))
(*.f64 #s(literal 2 binary64) (exp.f64 (*.f64 (+.f64 (log.f64 (neg.f64 (+.f64 z x))) (neg.f64 (log.f64 (/.f64 #s(literal -1 binary64) y)))) #s(literal 1/2 binary64))))
(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))))))
Outputs
(*.f64 #s(literal 2 binary64) (exp.f64 (*.f64 (+.f64 (log.f64 (neg.f64 (+.f64 z x))) (neg.f64 (log.f64 (/.f64 #s(literal -1 binary64) y)))) #s(literal 1/2 binary64))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (*.f64 x y) (*.f64 (+.f64 (/.f64 y x) #s(literal 1 binary64)) (*.f64 x z)))))
(*.f64 #s(literal 2 binary64) (*.f64 (sqrt.f64 z) (sqrt.f64 y)))
Calls

1 calls:

20.0ms
y
Results
AccuracySegmentsBranch
95.5%3y
Compiler

Compiled 4 to 3 computations (25% saved)

regimes146.0ms (1%)

Counts
65 → 2
Calls
Call 1
Inputs
(sqrt.f64 (*.f64 y (*.f64 z #s(literal 4 binary64))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 x y)))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 z x)))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 z y)))
(*.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) (sqrt.f64 (+.f64 (*.f64 x y) (*.f64 z x))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 z x))))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 x (*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 y x))))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (*.f64 x y) (*.f64 z (+.f64 y x)))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 x (+.f64 y (+.f64 z (*.f64 y (/.f64 z 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 x (+.f64 y (/.f64 (*.f64 x y) z))))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (*.f64 x y) (*.f64 z (*.f64 x (/.f64 y 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 (*.f64 x y) (*.f64 z (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 y x)))))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (*.f64 x y) (*.f64 (+.f64 (/.f64 y x) #s(literal 1 binary64)) (*.f64 x z)))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (*.f64 x y) (+.f64 (*.f64 (/.f64 y x) (*.f64 z x)) (*.f64 z x)))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (*.f64 x y) (+.f64 (/.f64 (*.f64 x z) (/.f64 x y)) (*.f64 z x)))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (*.f64 x y) (+.f64 (/.f64 (*.f64 y (*.f64 x z)) x) (*.f64 z x)))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (fabs.f64 (*.f64 x z))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (fabs.f64 (*.f64 z y))))
(*.f64 #s(literal 2 binary64) (*.f64 (sqrt.f64 y) (sqrt.f64 x)))
(*.f64 #s(literal 2 binary64) (*.f64 (sqrt.f64 z) (sqrt.f64 x)))
(*.f64 #s(literal 2 binary64) (*.f64 (sqrt.f64 z) (sqrt.f64 y)))
(*.f64 #s(literal 2 binary64) (cbrt.f64 (pow.f64 (*.f64 x y) #s(literal 3/2 binary64))))
(*.f64 #s(literal 2 binary64) (cbrt.f64 (pow.f64 (*.f64 z x) #s(literal 3/2 binary64))))
(*.f64 #s(literal 2 binary64) (exp.f64 (*.f64 (log.f64 (*.f64 x y)) #s(literal 1/2 binary64))))
(*.f64 #s(literal 2 binary64) (exp.f64 (*.f64 (log.f64 (*.f64 x z)) #s(literal 1/2 binary64))))
(*.f64 #s(literal 2 binary64) (exp.f64 (*.f64 (log.f64 (*.f64 y z)) #s(literal 1/2 binary64))))
(*.f64 #s(literal 2 binary64) (exp.f64 (*.f64 (log.f64 (*.f64 z x)) #s(literal 1/2 binary64))))
(*.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 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) (sqrt.f64 (fma.f64 x z (*.f64 y (+.f64 x z)))))
(*.f64 #s(literal 2 binary64) (pow.f64 (pow.f64 (*.f64 x (+.f64 z y)) #s(literal 1/4 binary64)) #s(literal 2 binary64)))
(*.f64 #s(literal 2 binary64) (exp.f64 (*.f64 (log.f64 (*.f64 (neg.f64 z) (neg.f64 (+.f64 x y)))) #s(literal 1/2 binary64))))
(+.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 x y))) (*.f64 (sqrt.f64 (/.f64 x y)) z))
(+.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 x y))) (*.f64 (neg.f64 (sqrt.f64 (/.f64 x y))) z))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (fma.f64 x z (*.f64 z (+.f64 y (*.f64 x (/.f64 y z)))))))
(+.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 x y))) (*.f64 (sqrt.f64 (/.f64 x y)) (*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 y x)))))
(+.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 x y))) (/.f64 (*.f64 z (+.f64 (/.f64 y x) #s(literal 1 binary64))) (sqrt.f64 (/.f64 y x))))
(+.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 x y))) (*.f64 (neg.f64 (sqrt.f64 (/.f64 x y))) (*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 y x)))))
(+.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 x y))) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 y x))) (*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 y x)))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (*.f64 x y) (*.f64 z (*.f64 x (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 y x) #s(literal 2 binary64))))))))))
(expm1.f64 (log1p.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 x y)))))
(expm1.f64 (log1p.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 z x)))))
(*.f64 #s(literal 2 binary64) (cbrt.f64 (pow.f64 (fabs.f64 (*.f64 x z)) #s(literal 3/2 binary64))))
(*.f64 #s(literal 2 binary64) (pow.f64 (cbrt.f64 (sqrt.f64 (*.f64 x y))) #s(literal 3 binary64)))
(pow.f64 (cbrt.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 x y)))) #s(literal 3 binary64))
(pow.f64 (cbrt.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 y z)))) #s(literal 3 binary64))
(pow.f64 (cbrt.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 z x)))) #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) (sqrt.f64 (+.f64 (*.f64 x y) (*.f64 z (cbrt.f64 (pow.f64 y #s(literal 3 binary64)))))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (*.f64 x y) (*.f64 z (pow.f64 (sqrt.f64 y) #s(literal 2 binary64))))))
(*.f64 #s(literal 2 binary64) (exp.f64 (*.f64 (log.f64 (fma.f64 x z (*.f64 y (+.f64 x z)))) #s(literal 1/2 binary64))))
(*.f64 #s(literal 2 binary64) (exp.f64 (*.f64 (+.f64 (log.f64 (+.f64 z x)) (neg.f64 (neg.f64 (log.f64 y)))) #s(literal 1/2 binary64))))
(*.f64 #s(literal 2 binary64) (*.f64 (sqrt.f64 (+.f64 y (fma.f64 y (/.f64 z x) z))) (sqrt.f64 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) (sqrt.f64 (+.f64 (*.f64 x y) (cbrt.f64 (pow.f64 (*.f64 z (+.f64 x y)) #s(literal 3 binary64))))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (*.f64 x y) (*.f64 z (cbrt.f64 (pow.f64 (+.f64 x y) #s(literal 3 binary64)))))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (*.f64 x y) (*.f64 z (pow.f64 (sqrt.f64 (+.f64 x y)) #s(literal 2 binary64))))))
Outputs
(*.f64 #s(literal 2 binary64) (sqrt.f64 (fma.f64 x z (*.f64 y (+.f64 x z)))))
(*.f64 #s(literal 2 binary64) (*.f64 (sqrt.f64 z) (sqrt.f64 y)))
Calls

6 calls:

45.0ms
x
20.0ms
(*.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (+.f64 (*.f64 x y) (*.f64 x z)) (*.f64 y z))))
20.0ms
(+.f64 (+.f64 (*.f64 x y) (*.f64 x z)) (*.f64 y z))
20.0ms
y
18.0ms
z
Results
AccuracySegmentsBranch
81.1%2(*.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (+.f64 (*.f64 x y) (*.f64 x z)) (*.f64 y z))))
81.1%2(sqrt.f64 (+.f64 (+.f64 (*.f64 x y) (*.f64 x z)) (*.f64 y z)))
81.1%2(+.f64 (+.f64 (*.f64 x y) (*.f64 x z)) (*.f64 y z))
81.9%2z
78.9%2x
82.2%2y
Compiler

Compiled 58 to 37 computations (36.2% saved)

regimes14.0ms (0.1%)

Counts
36 → 2
Calls
Call 1
Inputs
(sqrt.f64 (*.f64 y (*.f64 z #s(literal 4 binary64))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 x y)))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 z x)))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 z y)))
(*.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) (sqrt.f64 (+.f64 (*.f64 x y) (*.f64 z x))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 z x))))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 x (*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 y x))))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (*.f64 x y) (*.f64 z (+.f64 y x)))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 x (+.f64 y (+.f64 z (*.f64 y (/.f64 z 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 x (+.f64 y (/.f64 (*.f64 x y) z))))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (*.f64 x y) (*.f64 z (*.f64 x (/.f64 y 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 (*.f64 x y) (*.f64 z (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 y x)))))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (*.f64 x y) (*.f64 (+.f64 (/.f64 y x) #s(literal 1 binary64)) (*.f64 x z)))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (*.f64 x y) (+.f64 (*.f64 (/.f64 y x) (*.f64 z x)) (*.f64 z x)))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (*.f64 x y) (+.f64 (/.f64 (*.f64 x z) (/.f64 x y)) (*.f64 z x)))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (*.f64 x y) (+.f64 (/.f64 (*.f64 y (*.f64 x z)) x) (*.f64 z x)))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (fabs.f64 (*.f64 x z))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (fabs.f64 (*.f64 z y))))
(*.f64 #s(literal 2 binary64) (*.f64 (sqrt.f64 y) (sqrt.f64 x)))
(*.f64 #s(literal 2 binary64) (*.f64 (sqrt.f64 z) (sqrt.f64 x)))
(*.f64 #s(literal 2 binary64) (*.f64 (sqrt.f64 z) (sqrt.f64 y)))
(*.f64 #s(literal 2 binary64) (cbrt.f64 (pow.f64 (*.f64 x y) #s(literal 3/2 binary64))))
(*.f64 #s(literal 2 binary64) (cbrt.f64 (pow.f64 (*.f64 z x) #s(literal 3/2 binary64))))
(*.f64 #s(literal 2 binary64) (exp.f64 (*.f64 (log.f64 (*.f64 x y)) #s(literal 1/2 binary64))))
(*.f64 #s(literal 2 binary64) (exp.f64 (*.f64 (log.f64 (*.f64 x z)) #s(literal 1/2 binary64))))
(*.f64 #s(literal 2 binary64) (exp.f64 (*.f64 (log.f64 (*.f64 y z)) #s(literal 1/2 binary64))))
(*.f64 #s(literal 2 binary64) (exp.f64 (*.f64 (log.f64 (*.f64 z x)) #s(literal 1/2 binary64))))
(*.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 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)))
Outputs
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 x (+.f64 (*.f64 z (/.f64 y x)) (+.f64 z y)))))
(*.f64 #s(literal 2 binary64) (*.f64 (sqrt.f64 z) (sqrt.f64 y)))
Calls

1 calls:

11.0ms
y
Results
AccuracySegmentsBranch
82.2%2y
Compiler

Compiled 4 to 3 computations (25% saved)

regimes124.0ms (0.8%)

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

6 calls:

9.0ms
z
8.0ms
y
8.0ms
(*.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (+.f64 (*.f64 x y) (*.f64 x z)) (*.f64 y z))))
7.0ms
x
7.0ms
(sqrt.f64 (+.f64 (+.f64 (*.f64 x y) (*.f64 x z)) (*.f64 y z)))
Results
AccuracySegmentsBranch
69.8%1x
69.8%1(*.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (+.f64 (*.f64 x y) (*.f64 x z)) (*.f64 y z))))
69.8%1(sqrt.f64 (+.f64 (+.f64 (*.f64 x y) (*.f64 x z)) (*.f64 y z)))
69.8%1(+.f64 (+.f64 (*.f64 x y) (*.f64 x z)) (*.f64 y z))
69.8%1z
69.8%1y
Compiler

Compiled 58 to 37 computations (36.2% saved)

regimes15.0ms (0.1%)

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

6.0ms
y
4.0ms
x
4.0ms
z
Results
AccuracySegmentsBranch
68.8%2z
67.8%2x
70.0%2y
Compiler

Compiled 12 to 9 computations (25% saved)

regimes3.0ms (0%)

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

1 calls:

3.0ms
y
Results
AccuracySegmentsBranch
69.0%2y
Compiler

Compiled 4 to 3 computations (25% saved)

regimes5.0ms (0%)

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

2 calls:

2.0ms
z
2.0ms
y
Results
AccuracySegmentsBranch
66.0%2z
68.0%2y
Compiler

Compiled 8 to 6 computations (25% saved)

regimes4.0ms (0%)

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

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

3 calls:

1.0ms
x
1.0ms
z
1.0ms
y
Results
AccuracySegmentsBranch
32.8%1z
32.8%1x
32.8%1y
Compiler

Compiled 12 to 9 computations (25% saved)

bsearch72.0ms (0.5%)

Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
29.0ms
2.7350645681406396e-60
3.589757899966956e-58
37.0ms
-2.192940805411298e+30
-3.856316930852868e+23
Results
33.0ms256×0valid
19.0ms221×0invalid
Compiler

Compiled 620 to 457 computations (26.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 36.0ms
ival-mult: 26.0ms (71.6% of total)
ival-add: 5.0ms (13.8% of total)
ival-sqrt: 5.0ms (13.8% of total)
const: 1.0ms (2.8% of total)
backward-pass: 0.0ms (0% of total)

bsearch90.0ms (0.6%)

Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
51.0ms
1.902429799774143e-290
8.804633576940138e-241
32.0ms
-2.192940805411298e+30
-3.856316930852868e+23
Results
31.0ms364×0invalid
30.0ms336×0valid
Compiler

Compiled 755 to 571 computations (24.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 36.0ms
ival-mult: 22.0ms (61.7% of total)
ival-add: 7.0ms (19.6% of total)
ival-sqrt: 5.0ms (14% of total)
const: 1.0ms (2.8% of total)
backward-pass: 0.0ms (0% of total)

bsearch123.0ms (0.8%)

Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
118.0ms
1.902429799774143e-290
8.804633576940138e-241
Results
90.0ms261×0invalid
15.0ms192×0valid
Compiler

Compiled 335 to 244 computations (27.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 26.0ms
ival-mult: 18.0ms (69.2% of total)
ival-add: 4.0ms (15.4% of total)
ival-sqrt: 3.0ms (11.5% of total)
const: 1.0ms (3.8% of total)
backward-pass: 0.0ms (0% of total)

bsearch56.0ms (0.4%)

Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
51.0ms
1.902429799774143e-290
8.804633576940138e-241
Results
22.0ms192×0valid
17.0ms222×0invalid
Compiler

Compiled 371 to 268 computations (27.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 22.0ms
ival-mult: 12.0ms (54.8% of total)
ival-add: 6.0ms (27.4% of total)
ival-sqrt: 3.0ms (13.7% of total)
const: 1.0ms (4.6% of total)
backward-pass: 0.0ms (0% of total)

bsearch37.0ms (0.2%)

Algorithm
binary-search
Stop Event
predicate-same
Steps
TimeLeftRight
34.0ms
-4.701351064302478e-285
3.42742650957342e-293
Results
15.0ms166×0invalid
9.0ms112×0valid
Compiler

Compiled 191 to 142 computations (25.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 15.0ms
ival-mult: 8.0ms (53.4% of total)
ival-sqrt: 4.0ms (26.7% of total)
ival-add: 3.0ms (20% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

bsearch56.0ms (0.4%)

Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
52.0ms
-4.701351064302478e-285
3.42742650957342e-293
Results
24.0ms227×0invalid
16.0ms192×0valid
Compiler

Compiled 287 to 220 computations (23.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 20.0ms
ival-mult: 12.0ms (59.5% of total)
ival-add: 4.0ms (19.8% of total)
ival-sqrt: 3.0ms (14.9% of total)
const: 1.0ms (5% of total)
backward-pass: 0.0ms (0% of total)

bsearch65.0ms (0.4%)

Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
61.0ms
-4.701351064302478e-285
3.42742650957342e-293
Results
27.0ms264×0invalid
21.0ms192×0valid
Compiler

Compiled 263 to 208 computations (20.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 29.0ms
ival-mult: 21.0ms (72% of total)
ival-add: 4.0ms (13.7% of total)
ival-sqrt: 3.0ms (10.3% of total)
const: 1.0ms (3.4% of total)
backward-pass: 0.0ms (0% of total)

simplify19.0ms (0.1%)

Algorithm
egg-herbie
Rules
28×*-commutative
13×+-commutative
sub-neg
neg-sub0
neg-mul-1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0102837
1148837
2158837
3165837
4167837
Stop Event
saturated
Calls
Call 1
Inputs
(if (<=.f64 y #s(literal -1950000000000000052848767270912 binary64)) (*.f64 #s(literal 2 binary64) (exp.f64 (*.f64 (+.f64 (log.f64 (neg.f64 (+.f64 z x))) (neg.f64 (log.f64 (/.f64 #s(literal -1 binary64) y)))) #s(literal 1/2 binary64)))) (if (<=.f64 y #s(literal 1236792945344869/3533694129556768659166595001485837031654967793751237916243212402585239552 binary64)) (*.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (*.f64 x y) (*.f64 z (+.f64 y x))))) (*.f64 z (+.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 (+.f64 x y) z))) (*.f64 x (sqrt.f64 (/.f64 y (pow.f64 z #s(literal 3 binary64)))))))))
(if (<=.f64 y #s(literal -40000000000000003623878656 binary64)) (*.f64 #s(literal 2 binary64) (exp.f64 (*.f64 (+.f64 (log.f64 (neg.f64 (+.f64 z x))) (neg.f64 (log.f64 (/.f64 #s(literal -1 binary64) y)))) #s(literal 1/2 binary64)))) (if (<=.f64 y #s(literal 3228232236386021/3753758414402350114985578847754628430655879796774751768338949695381315781309615853973705099290165690424277009592352731309591345333151121630880730453319952580019863461295451288668314174944572706159989883958951313077165169522342308559632306943619798833037312 binary64)) (*.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (*.f64 x y) (*.f64 (+.f64 (/.f64 y x) #s(literal 1 binary64)) (*.f64 x z))))) (*.f64 #s(literal 2 binary64) (*.f64 (sqrt.f64 z) (sqrt.f64 y)))))
(if (<=.f64 y #s(literal 3228232236386021/3753758414402350114985578847754628430655879796774751768338949695381315781309615853973705099290165690424277009592352731309591345333151121630880730453319952580019863461295451288668314174944572706159989883958951313077165169522342308559632306943619798833037312 binary64)) (*.f64 #s(literal 2 binary64) (sqrt.f64 (fma.f64 x z (*.f64 y (+.f64 x z))))) (*.f64 #s(literal 2 binary64) (*.f64 (sqrt.f64 z) (sqrt.f64 y))))
(if (<=.f64 y #s(literal 3228232236386021/3753758414402350114985578847754628430655879796774751768338949695381315781309615853973705099290165690424277009592352731309591345333151121630880730453319952580019863461295451288668314174944572706159989883958951313077165169522342308559632306943619798833037312 binary64)) (*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 x (+.f64 (*.f64 z (/.f64 y x)) (+.f64 z y))))) (*.f64 #s(literal 2 binary64) (*.f64 (sqrt.f64 z) (sqrt.f64 y))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (*.f64 x y) (*.f64 z (+.f64 y x)))))
(if (<=.f64 y #s(literal 5890680864316837/11781361728633673532894774498354952494238773929196300355071513798753168641589311119865182769801300280680127783231251635087526446289021607771691249214388576215221396663491984443067742263787264024212477244347842938066577043117995647400274369612403653814737339068225047641453182709824206687753689912418253153056587776 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 3056078329265937/89884656743115795386465259539451236680898848947115328636715040578866337902750481566354238661203768010560056939935696678829394884407208311246423715319737062188883946712432742638151109800623047059726541476042502884419075341171231440736956555270413618581675255342293149119973622969239858152417678164812112068608 binary64)) (*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 x (+.f64 z y)))) (sqrt.f64 (*.f64 y (*.f64 z #s(literal 4 binary64)))))
(if (<=.f64 y #s(literal -20240225330731/50600563326827654588123836679729326762389162441035529589225339506857584891998836722990095925359281123796769466079202977847452184346448369216753349985184627480379356069141590341116726935523304085309941919618186267140501870856173174654525838912289889085202514128089692388083353653807625633046581877161501565826926935273373696 binary64)) (*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 x y))) (sqrt.f64 (*.f64 y (*.f64 z #s(literal 4 binary64)))))
(sqrt.f64 (*.f64 y (*.f64 z #s(literal 4 binary64))))
Outputs
(if (<=.f64 y #s(literal -1950000000000000052848767270912 binary64)) (*.f64 #s(literal 2 binary64) (exp.f64 (*.f64 (+.f64 (log.f64 (neg.f64 (+.f64 z x))) (neg.f64 (log.f64 (/.f64 #s(literal -1 binary64) y)))) #s(literal 1/2 binary64)))) (if (<=.f64 y #s(literal 1236792945344869/3533694129556768659166595001485837031654967793751237916243212402585239552 binary64)) (*.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (*.f64 x y) (*.f64 z (+.f64 y x))))) (*.f64 z (+.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 (+.f64 x y) z))) (*.f64 x (sqrt.f64 (/.f64 y (pow.f64 z #s(literal 3 binary64)))))))))
(if (<=.f64 y #s(literal -1950000000000000052848767270912 binary64)) (*.f64 #s(literal 2 binary64) (exp.f64 (*.f64 (-.f64 (log.f64 (neg.f64 (+.f64 z x))) (log.f64 (/.f64 #s(literal -1 binary64) y))) #s(literal 1/2 binary64)))) (if (<=.f64 y #s(literal 1236792945344869/3533694129556768659166595001485837031654967793751237916243212402585239552 binary64)) (*.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (*.f64 y x) (*.f64 z (+.f64 y x))))) (*.f64 z (+.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 (+.f64 y x) z))) (*.f64 x (sqrt.f64 (/.f64 y (pow.f64 z #s(literal 3 binary64)))))))))
(if (<=.f64 y #s(literal -1950000000000000052848767270912 binary64)) (*.f64 #s(literal 2 binary64) (exp.f64 (*.f64 (-.f64 (log.f64 (-.f64 (neg.f64 z) x)) (log.f64 (/.f64 #s(literal -1 binary64) y))) #s(literal 1/2 binary64)))) (if (<=.f64 y #s(literal 1236792945344869/3533694129556768659166595001485837031654967793751237916243212402585239552 binary64)) (*.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (*.f64 y x) (*.f64 z (+.f64 y x))))) (*.f64 z (+.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 (+.f64 y x) z))) (*.f64 x (sqrt.f64 (/.f64 y (pow.f64 z #s(literal 3 binary64)))))))))
(if (<=.f64 y #s(literal -1950000000000000052848767270912 binary64)) (*.f64 #s(literal 2 binary64) (exp.f64 (*.f64 (-.f64 (log.f64 (-.f64 (neg.f64 x) z)) (log.f64 (/.f64 #s(literal -1 binary64) y))) #s(literal 1/2 binary64)))) (if (<=.f64 y #s(literal 1236792945344869/3533694129556768659166595001485837031654967793751237916243212402585239552 binary64)) (*.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (*.f64 y x) (*.f64 z (+.f64 y x))))) (*.f64 z (+.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 (+.f64 y x) z))) (*.f64 x (sqrt.f64 (/.f64 y (pow.f64 z #s(literal 3 binary64)))))))))
(if (<=.f64 y #s(literal -40000000000000003623878656 binary64)) (*.f64 #s(literal 2 binary64) (exp.f64 (*.f64 (+.f64 (log.f64 (neg.f64 (+.f64 z x))) (neg.f64 (log.f64 (/.f64 #s(literal -1 binary64) y)))) #s(literal 1/2 binary64)))) (if (<=.f64 y #s(literal 3228232236386021/3753758414402350114985578847754628430655879796774751768338949695381315781309615853973705099290165690424277009592352731309591345333151121630880730453319952580019863461295451288668314174944572706159989883958951313077165169522342308559632306943619798833037312 binary64)) (*.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (*.f64 x y) (*.f64 (+.f64 (/.f64 y x) #s(literal 1 binary64)) (*.f64 x z))))) (*.f64 #s(literal 2 binary64) (*.f64 (sqrt.f64 z) (sqrt.f64 y)))))
(if (<=.f64 y #s(literal -40000000000000003623878656 binary64)) (*.f64 #s(literal 2 binary64) (exp.f64 (*.f64 (-.f64 (log.f64 (neg.f64 (+.f64 z x))) (log.f64 (/.f64 #s(literal -1 binary64) y))) #s(literal 1/2 binary64)))) (if (<=.f64 y #s(literal 3228232236386021/3753758414402350114985578847754628430655879796774751768338949695381315781309615853973705099290165690424277009592352731309591345333151121630880730453319952580019863461295451288668314174944572706159989883958951313077165169522342308559632306943619798833037312 binary64)) (*.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (*.f64 y x) (*.f64 (+.f64 (/.f64 y x) #s(literal 1 binary64)) (*.f64 z x))))) (*.f64 #s(literal 2 binary64) (*.f64 (sqrt.f64 z) (sqrt.f64 y)))))
(if (<=.f64 y #s(literal -40000000000000003623878656 binary64)) (*.f64 #s(literal 2 binary64) (exp.f64 (*.f64 (-.f64 (log.f64 (-.f64 (neg.f64 z) x)) (log.f64 (/.f64 #s(literal -1 binary64) y))) #s(literal 1/2 binary64)))) (if (<=.f64 y #s(literal 3228232236386021/3753758414402350114985578847754628430655879796774751768338949695381315781309615853973705099290165690424277009592352731309591345333151121630880730453319952580019863461295451288668314174944572706159989883958951313077165169522342308559632306943619798833037312 binary64)) (*.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (*.f64 y x) (*.f64 (+.f64 (/.f64 y x) #s(literal 1 binary64)) (*.f64 z x))))) (*.f64 #s(literal 2 binary64) (*.f64 (sqrt.f64 z) (sqrt.f64 y)))))
(if (<=.f64 y #s(literal -40000000000000003623878656 binary64)) (*.f64 #s(literal 2 binary64) (exp.f64 (*.f64 (-.f64 (log.f64 (-.f64 (neg.f64 x) z)) (log.f64 (/.f64 #s(literal -1 binary64) y))) #s(literal 1/2 binary64)))) (if (<=.f64 y #s(literal 3228232236386021/3753758414402350114985578847754628430655879796774751768338949695381315781309615853973705099290165690424277009592352731309591345333151121630880730453319952580019863461295451288668314174944572706159989883958951313077165169522342308559632306943619798833037312 binary64)) (*.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (*.f64 y x) (*.f64 (+.f64 (/.f64 y x) #s(literal 1 binary64)) (*.f64 z x))))) (*.f64 #s(literal 2 binary64) (*.f64 (sqrt.f64 z) (sqrt.f64 y)))))
(if (<=.f64 y #s(literal 3228232236386021/3753758414402350114985578847754628430655879796774751768338949695381315781309615853973705099290165690424277009592352731309591345333151121630880730453319952580019863461295451288668314174944572706159989883958951313077165169522342308559632306943619798833037312 binary64)) (*.f64 #s(literal 2 binary64) (sqrt.f64 (fma.f64 x z (*.f64 y (+.f64 x z))))) (*.f64 #s(literal 2 binary64) (*.f64 (sqrt.f64 z) (sqrt.f64 y))))
(if (<=.f64 y #s(literal 3228232236386021/3753758414402350114985578847754628430655879796774751768338949695381315781309615853973705099290165690424277009592352731309591345333151121630880730453319952580019863461295451288668314174944572706159989883958951313077165169522342308559632306943619798833037312 binary64)) (*.f64 #s(literal 2 binary64) (sqrt.f64 (fma.f64 x z (*.f64 y (+.f64 z x))))) (*.f64 #s(literal 2 binary64) (*.f64 (sqrt.f64 z) (sqrt.f64 y))))
(if (<=.f64 y #s(literal 3228232236386021/3753758414402350114985578847754628430655879796774751768338949695381315781309615853973705099290165690424277009592352731309591345333151121630880730453319952580019863461295451288668314174944572706159989883958951313077165169522342308559632306943619798833037312 binary64)) (*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 x (+.f64 (*.f64 z (/.f64 y x)) (+.f64 z y))))) (*.f64 #s(literal 2 binary64) (*.f64 (sqrt.f64 z) (sqrt.f64 y))))
(if (<=.f64 y #s(literal 3228232236386021/3753758414402350114985578847754628430655879796774751768338949695381315781309615853973705099290165690424277009592352731309591345333151121630880730453319952580019863461295451288668314174944572706159989883958951313077165169522342308559632306943619798833037312 binary64)) (*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 x (+.f64 (*.f64 z (/.f64 y x)) (+.f64 y z))))) (*.f64 #s(literal 2 binary64) (*.f64 (sqrt.f64 z) (sqrt.f64 y))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (*.f64 x y) (*.f64 z (+.f64 y x)))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (*.f64 y x) (*.f64 z (+.f64 y x)))))
(if (<=.f64 y #s(literal 5890680864316837/11781361728633673532894774498354952494238773929196300355071513798753168641589311119865182769801300280680127783231251635087526446289021607771691249214388576215221396663491984443067742263787264024212477244347842938066577043117995647400274369612403653814737339068225047641453182709824206687753689912418253153056587776 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 5890680864316837/11781361728633673532894774498354952494238773929196300355071513798753168641589311119865182769801300280680127783231251635087526446289021607771691249214388576215221396663491984443067742263787264024212477244347842938066577043117995647400274369612403653814737339068225047641453182709824206687753689912418253153056587776 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 3056078329265937/89884656743115795386465259539451236680898848947115328636715040578866337902750481566354238661203768010560056939935696678829394884407208311246423715319737062188883946712432742638151109800623047059726541476042502884419075341171231440736956555270413618581675255342293149119973622969239858152417678164812112068608 binary64)) (*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 x (+.f64 z y)))) (sqrt.f64 (*.f64 y (*.f64 z #s(literal 4 binary64)))))
(if (<=.f64 y #s(literal 3056078329265937/89884656743115795386465259539451236680898848947115328636715040578866337902750481566354238661203768010560056939935696678829394884407208311246423715319737062188883946712432742638151109800623047059726541476042502884419075341171231440736956555270413618581675255342293149119973622969239858152417678164812112068608 binary64)) (*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 x (+.f64 y z)))) (sqrt.f64 (*.f64 y (*.f64 z #s(literal 4 binary64)))))
(if (<=.f64 y #s(literal -20240225330731/50600563326827654588123836679729326762389162441035529589225339506857584891998836722990095925359281123796769466079202977847452184346448369216753349985184627480379356069141590341116726935523304085309941919618186267140501870856173174654525838912289889085202514128089692388083353653807625633046581877161501565826926935273373696 binary64)) (*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 x y))) (sqrt.f64 (*.f64 y (*.f64 z #s(literal 4 binary64)))))
(if (<=.f64 y #s(literal -20240225330731/50600563326827654588123836679729326762389162441035529589225339506857584891998836722990095925359281123796769466079202977847452184346448369216753349985184627480379356069141590341116726935523304085309941919618186267140501870856173174654525838912289889085202514128089692388083353653807625633046581877161501565826926935273373696 binary64)) (*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 y x))) (sqrt.f64 (*.f64 y (*.f64 z #s(literal 4 binary64)))))
(sqrt.f64 (*.f64 y (*.f64 z #s(literal 4 binary64))))

soundness2.5s (16.5%)

Rules
906×log1p-expm1-u
906×expm1-log1p-u
843×fma-neg
694×fma-define
680×distribute-lft-in
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
038557
1644545
0163747616
1438145405
039541
1662523
098039313
1297138527
2739938527
023314
1325314
24733314
057590
1156534
2328530
3624530
41291530
51969530
62919530
73283530
83342530
93348530
103348530
0278990088
1762488396
Stop Event
fuel
node limit
saturated
node limit
node limit
node limit
node limit
node limit
Compiler

Compiled 1009 to 382 computations (62.1% saved)

preprocess96.0ms (0.6%)

Compiler

Compiled 842 to 402 computations (52.3% saved)

end0.0ms (0%)

Profiling

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