Linear.Quaternion:$clog from linear-1.19.1.3

Time bar (total: 4.3s)

analyze36.0ms (0.8%)

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
50%50%50%0.1%0%0%0%3
50%50%50%0.1%0%0%0%4
62.5%62.4%37.5%0.1%0%0%0%5
66.7%62.4%31.2%0.1%0%6.2%0%6
75%65.6%21.9%0.1%0%12.5%0%7
80%68.7%17.2%0.1%0%14%0%8
85.7%70.2%11.7%0.1%0%18%0%9
88.9%71.8%9%0.1%0%19.1%0%10
92.3%72.6%6%0.1%0%21.3%0%11
94.1%73.4%4.6%0.1%0%22%0%12
Compiler

Compiled 8 to 7 computations (12.5% saved)

sample1.3s (30.2%)

Results
1.0s8256×0valid
17.0ms298×0invalid
Precisions
Click to see histograms. Total time spent on operations: 751.0ms
ival-sqrt: 509.0ms (67.8% of total)
ival-mult: 183.0ms (24.4% of total)
ival-add: 47.0ms (6.3% of total)
ival-true: 7.0ms (0.9% of total)
ival-assert: 5.0ms (0.7% of total)
Bogosity

preprocess64.0ms (1.5%)

Algorithm
egg-herbie
Rules
110×fmm-def
74×fma-define
29×sub-neg
18×associate--r+
17×associate-+l-
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
023170
146170
283170
3162170
4268170
5361170
6458170
7508170
8522170
9525170
Stop Event
saturated
Calls
Call 1
Inputs
(sqrt.f64 (+.f64 (*.f64 x x) y))
(sqrt.f64 (+.f64 (*.f64 x x) y))
(sqrt.f64 (+.f64 (*.f64 (neg.f64 x) (neg.f64 x)) y))
(sqrt.f64 (+.f64 (*.f64 x x) (neg.f64 y)))
(neg.f64 (sqrt.f64 (+.f64 (*.f64 (neg.f64 x) (neg.f64 x)) y)))
(neg.f64 (sqrt.f64 (+.f64 (*.f64 x x) (neg.f64 y))))
(sqrt.f64 (+.f64 (*.f64 y y) x))
Outputs
(sqrt.f64 (+.f64 (*.f64 x x) y))
(sqrt.f64 (fma.f64 x x y))
(sqrt.f64 (+.f64 (*.f64 x x) y))
(sqrt.f64 (fma.f64 x x y))
(sqrt.f64 (+.f64 (*.f64 (neg.f64 x) (neg.f64 x)) y))
(sqrt.f64 (fma.f64 x x y))
(sqrt.f64 (+.f64 (*.f64 x x) (neg.f64 y)))
(sqrt.f64 (-.f64 (*.f64 x x) y))
(neg.f64 (sqrt.f64 (+.f64 (*.f64 (neg.f64 x) (neg.f64 x)) y)))
(neg.f64 (sqrt.f64 (fma.f64 x x y)))
(neg.f64 (sqrt.f64 (+.f64 (*.f64 x x) (neg.f64 y))))
(neg.f64 (sqrt.f64 (-.f64 (*.f64 x x) y)))
(sqrt.f64 (+.f64 (*.f64 y y) x))
(sqrt.f64 (fma.f64 y y x))
Symmetry

(abs x)

explain75.0ms (1.7%)

FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
890-0-(sqrt.f64 (+.f64 (*.f64 x x) y))
00-0-(+.f64 (*.f64 x x) y)
00-0-y
00-0-(*.f64 x x)
00-0-x
Explanations
Click to see full explanations table
OperatorSubexpressionExplanationCount
sqrt.f64(sqrt.f64 (+.f64 (*.f64 x x) y))oflow-rescue890
(+.f64 (*.f64 x x) y)overflow89
(*.f64 x x)overflow89
Confusion
Predicted +Predicted -
+890
-0167
Precision
1.0
Recall
1.0
Confusion?
Predicted +Predicted MaybePredicted -
+8900
-00167
Precision?
1.0
Recall?
1.0
Freqs
test
numberfreq
0167
189
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Results
33.0ms512×0valid
Compiler

Compiled 52 to 24 computations (53.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 12.0ms
ival-mult: 4.0ms (34.6% of total)
ival-sqrt: 4.0ms (34.6% of total)
ival-add: 3.0ms (25.9% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

eval0.0ms (0%)

Compiler

Compiled 7 to 4 computations (42.9% saved)

prune1.0ms (0%)

Alt Table
Click to see full alt table
StatusAccuracyProgram
67.7%
(sqrt.f64 (+.f64 (*.f64 x x) y))
Compiler

Compiled 8 to 5 computations (37.5% saved)

simplify6.0ms (0.1%)

Algorithm
egg-herbie
Localize:

Found 3 expressions of interest:

NewMetricScoreProgram
cost-diff-6272
(+.f64 (*.f64 x x) y)
cost-diff-6272
(sqrt.f64 (+.f64 (*.f64 x x) y))
cost-diff0
(*.f64 x x)
Rules
fma-define
+-commutative
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01161
11461
Stop Event
saturated
Calls
Call 1
Inputs
(sqrt.f64 (+.f64 (*.f64 x x) y))
(+.f64 (*.f64 x x) y)
(*.f64 x x)
x
y
Outputs
(sqrt.f64 (+.f64 (*.f64 x x) y))
(sqrt.f64 (fma.f64 x x y))
(+.f64 (*.f64 x x) y)
(fma.f64 x x y)
(*.f64 x x)
x
y

localize98.0ms (2.3%)

Localize:

Found 3 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(+.f64 (*.f64 x x) y)
accuracy100.0%
(*.f64 x x)
accuracy67.7%
(sqrt.f64 (+.f64 (*.f64 x x) y))
Results
15.0ms256×0valid
Compiler

Compiled 18 to 7 computations (61.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 6.0ms
ival-mult: 2.0ms (34.9% of total)
ival-sqrt: 2.0ms (34.9% of total)
ival-add: 1.0ms (17.5% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series9.0ms (0.2%)

Counts
3 → 60
Calls
Call 1
Inputs
#<alt (*.f64 x x)>
#<alt (sqrt.f64 (+.f64 (*.f64 x x) y))>
#<alt (+.f64 (*.f64 x x) y)>
Outputs
#<alt (pow.f64 x #s(literal 2 binary64))>
#<alt (pow.f64 x #s(literal 2 binary64))>
#<alt (pow.f64 x #s(literal 2 binary64))>
#<alt (pow.f64 x #s(literal 2 binary64))>
#<alt (pow.f64 x #s(literal 2 binary64))>
#<alt (pow.f64 x #s(literal 2 binary64))>
#<alt (pow.f64 x #s(literal 2 binary64))>
#<alt (pow.f64 x #s(literal 2 binary64))>
#<alt (pow.f64 x #s(literal 2 binary64))>
#<alt (pow.f64 x #s(literal 2 binary64))>
#<alt (pow.f64 x #s(literal 2 binary64))>
#<alt (pow.f64 x #s(literal 2 binary64))>
#<alt (sqrt.f64 y)>
#<alt (+.f64 (sqrt.f64 y) (*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)))))>
#<alt (+.f64 (sqrt.f64 y) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.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 3 binary64)))))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) y))))))>
#<alt (+.f64 (sqrt.f64 y) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) y))) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.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 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 5 binary64)))))))))))>
#<alt x>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 y (pow.f64 x #s(literal 2 binary64))))))>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 y (pow.f64 x #s(literal 2 binary64)))))))>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)))) (+.f64 (*.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 y (pow.f64 x #s(literal 2 binary64))))))))>
#<alt (*.f64 #s(literal -1 binary64) x)>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 y (pow.f64 x #s(literal 2 binary64)))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 y (pow.f64 x #s(literal 2 binary64))))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)))) (+.f64 (*.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 y (pow.f64 x #s(literal 2 binary64)))))))))>
#<alt x>
#<alt (+.f64 x (*.f64 #s(literal 1/2 binary64) (/.f64 y x)))>
#<alt (+.f64 x (*.f64 y (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 y (pow.f64 x #s(literal 3 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))))>
#<alt (+.f64 x (*.f64 y (+.f64 (*.f64 y (-.f64 (*.f64 #s(literal 1/16 binary64) (/.f64 y (pow.f64 x #s(literal 5 binary64)))) (*.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))))>
#<alt (sqrt.f64 y)>
#<alt (*.f64 y (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (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 4 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 5 binary64)))))) (*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (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 4 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 6 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 7 binary64)))))) (*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (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 (pow.f64 x #s(literal 2 binary64)) (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 4 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 (pow.f64 x #s(literal 2 binary64)) (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 4 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 6 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 (pow.f64 x #s(literal 2 binary64)) (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 y>
#<alt (+.f64 y (pow.f64 x #s(literal 2 binary64)))>
#<alt (+.f64 y (pow.f64 x #s(literal 2 binary64)))>
#<alt (+.f64 y (pow.f64 x #s(literal 2 binary64)))>
#<alt (pow.f64 x #s(literal 2 binary64))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 y (pow.f64 x #s(literal 2 binary64)))))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 y (pow.f64 x #s(literal 2 binary64)))))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 y (pow.f64 x #s(literal 2 binary64)))))>
#<alt (pow.f64 x #s(literal 2 binary64))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 y (pow.f64 x #s(literal 2 binary64)))))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 y (pow.f64 x #s(literal 2 binary64)))))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 y (pow.f64 x #s(literal 2 binary64)))))>
#<alt (pow.f64 x #s(literal 2 binary64))>
#<alt (+.f64 y (pow.f64 x #s(literal 2 binary64)))>
#<alt (+.f64 y (pow.f64 x #s(literal 2 binary64)))>
#<alt (+.f64 y (pow.f64 x #s(literal 2 binary64)))>
#<alt y>
#<alt (*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y)))>
#<alt (*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y)))>
#<alt (*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y)))>
#<alt y>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y)) #s(literal 1 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y)) #s(literal 1 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y)) #s(literal 1 binary64))))>
Calls

15 calls:

TimeVariablePointExpression
2.0ms
y
@inf
(sqrt (+ (* x x) y))
1.0ms
y
@-inf
(sqrt (+ (* x x) y))
1.0ms
x
@0
(sqrt (+ (* x x) y))
1.0ms
y
@0
(sqrt (+ (* x x) y))
1.0ms
x
@inf
(sqrt (+ (* x x) y))

rewrite255.0ms (5.9%)

Algorithm
batch-egg-rewrite
Rules
507×log1p-expm1-u
507×expm1-log1p-u
495×prod-diff
446×unpow-prod-down
435×pow1
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01150
111845
2145745
Stop Event
node limit
Counts
3 → 149
Calls
Call 1
Inputs
(*.f64 x x)
(sqrt.f64 (+.f64 (*.f64 x x) y))
(+.f64 (*.f64 x x) y)
Outputs
(+.f64 #s(literal 0 binary64) (pow.f64 x #s(literal 2 binary64)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (pow.f64 x #s(literal 2 binary64)))) #s(literal 2 binary64))) (log.f64 (cbrt.f64 (exp.f64 (pow.f64 x #s(literal 2 binary64))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (pow.f64 x #s(literal 2 binary64))))) (log.f64 (sqrt.f64 (exp.f64 (pow.f64 x #s(literal 2 binary64))))))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 x #s(literal 2 binary64)))) #s(literal 1 binary64))
(pow.f64 x #s(literal 2 binary64))
(pow.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1 binary64))
(pow.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) #s(literal 3 binary64))
(pow.f64 (cbrt.f64 x) #s(literal 6 binary64))
(pow.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/3 binary64))
(pow.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 2/3 binary64))
(pow.f64 (sqrt.f64 x) #s(literal 4 binary64))
(sqrt.f64 (pow.f64 x #s(literal 4 binary64)))
(log.f64 (exp.f64 (pow.f64 x #s(literal 2 binary64))))
(cbrt.f64 (pow.f64 x #s(literal 6 binary64)))
(expm1.f64 (log1p.f64 (pow.f64 x #s(literal 2 binary64))))
(log1p.f64 (expm1.f64 (pow.f64 x #s(literal 2 binary64))))
(exp.f64 (*.f64 #s(literal 2 binary64) (log.f64 x)))
(exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 2 binary64) (log.f64 x)) #s(literal 1 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 2 binary64) (log.f64 (cbrt.f64 x))) #s(literal 3 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 6 binary64) (log.f64 x)) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (*.f64 (log.f64 x) #s(literal 1 binary64)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)))
(exp.f64 (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) (log.f64 x)) #s(literal 1 binary64)) #s(literal 1 binary64)))
(exp.f64 (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) (log.f64 x)) #s(literal 3 binary64)) #s(literal 1/3 binary64)))
(exp.f64 (+.f64 (log.f64 x) (*.f64 (log.f64 x) #s(literal 1 binary64))))
(exp.f64 (+.f64 (*.f64 (log.f64 x) #s(literal 1 binary64)) (log.f64 x)))
(exp.f64 (+.f64 (*.f64 (log.f64 x) #s(literal 1 binary64)) (*.f64 (log.f64 x) #s(literal 1 binary64))))
(+.f64 #s(literal 0 binary64) (hypot.f64 x (sqrt.f64 y)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (hypot.f64 x (sqrt.f64 y)))) #s(literal 2 binary64))) (log.f64 (cbrt.f64 (exp.f64 (hypot.f64 x (sqrt.f64 y))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (hypot.f64 x (sqrt.f64 y))))) (log.f64 (sqrt.f64 (exp.f64 (hypot.f64 x (sqrt.f64 y))))))
(-.f64 (exp.f64 (log1p.f64 (hypot.f64 x (sqrt.f64 y)))) #s(literal 1 binary64))
(*.f64 (hypot.f64 x (sqrt.f64 y)) #s(literal 1 binary64))
(*.f64 (hypot.f64 x (sqrt.f64 y)) (log.f64 (exp.f64 #s(literal 1 binary64))))
(*.f64 #s(literal 1 binary64) (hypot.f64 x (sqrt.f64 y)))
(*.f64 (cbrt.f64 (hypot.f64 x (sqrt.f64 y))) (cbrt.f64 (fma.f64 x x y)))
(*.f64 (cbrt.f64 (fma.f64 x x y)) (cbrt.f64 (hypot.f64 x (sqrt.f64 y))))
(*.f64 (sqrt.f64 (hypot.f64 x (sqrt.f64 y))) (sqrt.f64 (hypot.f64 x (sqrt.f64 y))))
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (hypot.f64 x (sqrt.f64 y))) #s(literal 4 binary64))) (pow.f64 (pow.f64 (fma.f64 x x y) #s(literal 5/6 binary64)) #s(literal 1/3 binary64)))
(*.f64 (sqrt.f64 (sqrt.f64 (hypot.f64 x (sqrt.f64 y)))) (pow.f64 (pow.f64 (hypot.f64 x (sqrt.f64 y)) #s(literal 3/2 binary64)) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 2 binary64)))) (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 (pow.f64 x #s(literal 2 binary64)) y)) #s(literal 1/2 binary64)))
(*.f64 (hypot.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3/2 binary64))) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y (-.f64 y (pow.f64 x #s(literal 2 binary64))) (pow.f64 x #s(literal 4 binary64)))) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/3 binary64)) (hypot.f64 x (sqrt.f64 y)))
(*.f64 (pow.f64 (pow.f64 (hypot.f64 x (sqrt.f64 y)) #s(literal 3/2 binary64)) #s(literal 1/2 binary64)) (sqrt.f64 (sqrt.f64 (hypot.f64 x (sqrt.f64 y)))))
(*.f64 (pow.f64 (pow.f64 (fma.f64 x x y) #s(literal 5/6 binary64)) #s(literal 1/2 binary64)) (sqrt.f64 (cbrt.f64 (hypot.f64 x (sqrt.f64 y)))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (hypot.f64 x (sqrt.f64 y)))) #s(literal 2 binary64)) #s(literal 3 binary64)) (cbrt.f64 (hypot.f64 x (sqrt.f64 y))))
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (hypot.f64 x (sqrt.f64 y)))) #s(literal 3 binary64)) (pow.f64 (sqrt.f64 (cbrt.f64 (hypot.f64 x (sqrt.f64 y)))) #s(literal 3 binary64)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (fma.f64 x x y)) #s(literal 4 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (cbrt.f64 (hypot.f64 x (sqrt.f64 y)))))
(*.f64 (pow.f64 (pow.f64 (hypot.f64 x (sqrt.f64 y)) #s(literal 5/2 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (sqrt.f64 (hypot.f64 x (sqrt.f64 y)))))
(/.f64 (sqrt.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 2 binary64)))) (sqrt.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) y)))
(/.f64 (hypot.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3/2 binary64))) (sqrt.f64 (fma.f64 y (-.f64 y (pow.f64 x #s(literal 2 binary64))) (pow.f64 x #s(literal 4 binary64)))))
(pow.f64 (fma.f64 x x y) #s(literal 1/2 binary64))
(pow.f64 (hypot.f64 x (sqrt.f64 y)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (hypot.f64 x (sqrt.f64 y))) #s(literal 3 binary64))
(pow.f64 (cbrt.f64 (fma.f64 x x y)) #s(literal 3/2 binary64))
(pow.f64 (pow.f64 (hypot.f64 x (sqrt.f64 y)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (pow.f64 (hypot.f64 x (sqrt.f64 y)) #s(literal 4 binary64)) #s(literal 1/4 binary64))
(pow.f64 (pow.f64 (hypot.f64 x (sqrt.f64 y)) #s(literal 6 binary64)) #s(literal 1/6 binary64))
(pow.f64 (sqrt.f64 (hypot.f64 x (sqrt.f64 y))) #s(literal 2 binary64))
(fabs.f64 (hypot.f64 x (sqrt.f64 y)))
(log.f64 (exp.f64 (hypot.f64 x (sqrt.f64 y))))
(cbrt.f64 (pow.f64 (hypot.f64 x (sqrt.f64 y)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (hypot.f64 x (sqrt.f64 y))))
(hypot.f64 x (sqrt.f64 y))
(hypot.f64 (sqrt.f64 y) x)
(log1p.f64 (expm1.f64 (hypot.f64 x (sqrt.f64 y))))
(exp.f64 (log.f64 (hypot.f64 x (sqrt.f64 y))))
(exp.f64 (*.f64 (log.f64 (fma.f64 x x y)) #s(literal 1/2 binary64)))
(exp.f64 (*.f64 (log.f64 (hypot.f64 x (sqrt.f64 y))) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (hypot.f64 x (sqrt.f64 y)))) #s(literal 3 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 3 binary64) (log.f64 (hypot.f64 x (sqrt.f64 y)))) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (hypot.f64 x (sqrt.f64 y)))) #s(literal 2 binary64)))
(exp.f64 (*.f64 (*.f64 (log.f64 (fma.f64 x x y)) #s(literal 1 binary64)) #s(literal 1/2 binary64)))
(exp.f64 (*.f64 (*.f64 (log.f64 (fma.f64 x x y)) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(exp.f64 (*.f64 (*.f64 (log.f64 (hypot.f64 x (sqrt.f64 y))) #s(literal 1 binary64)) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 x x y))) #s(literal 1 binary64))
(-.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (pow.f64 x #s(literal 2 binary64)) y)) (/.f64 (pow.f64 y #s(literal 2 binary64)) (-.f64 (pow.f64 x #s(literal 2 binary64)) y)))
(*.f64 (fma.f64 x x y) #s(literal 1 binary64))
(*.f64 (fma.f64 x x y) (log.f64 (exp.f64 #s(literal 1 binary64))))
(*.f64 (hypot.f64 x (sqrt.f64 y)) (hypot.f64 x (sqrt.f64 y)))
(*.f64 #s(literal 1 binary64) (fma.f64 x x y))
(*.f64 (cbrt.f64 (fma.f64 x x y)) (pow.f64 (cbrt.f64 (hypot.f64 x (sqrt.f64 y))) #s(literal 4 binary64)))
(*.f64 (cbrt.f64 (fma.f64 x x y)) (pow.f64 (pow.f64 (cbrt.f64 (fma.f64 x x y)) #s(literal 4 binary64)) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (hypot.f64 x (sqrt.f64 y))) #s(literal 4 binary64)) (cbrt.f64 (fma.f64 x x y)))
(*.f64 (sqrt.f64 (hypot.f64 x (sqrt.f64 y))) (pow.f64 (hypot.f64 x (sqrt.f64 y)) #s(literal 3/2 binary64)))
(*.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 y #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 y (-.f64 y (pow.f64 x #s(literal 2 binary64))) (pow.f64 x #s(literal 4 binary64)))))
(*.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (pow.f64 x #s(literal 2 binary64)) y)))
(*.f64 (pow.f64 (hypot.f64 x (sqrt.f64 y)) #s(literal 3/2 binary64)) (sqrt.f64 (hypot.f64 x (sqrt.f64 y))))
(*.f64 (pow.f64 (fma.f64 x x y) #s(literal 5/6 binary64)) (cbrt.f64 (hypot.f64 x (sqrt.f64 y))))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/3 binary64)) (fma.f64 x x y))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 x x y))) #s(literal 2 binary64)) #s(literal 3 binary64)) (cbrt.f64 (fma.f64 x x y)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (fma.f64 x x y)) #s(literal 4 binary64)) #s(literal 1/2 binary64)) (cbrt.f64 (fma.f64 x x y)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (fma.f64 x x y)) #s(literal 5 binary64)) #s(literal 1/2 binary64)) (cbrt.f64 (hypot.f64 x (sqrt.f64 y))))
(*.f64 (pow.f64 (pow.f64 (fma.f64 x x y) #s(literal 5/2 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (hypot.f64 x (sqrt.f64 y))))
(*.f64 (pow.f64 (pow.f64 (pow.f64 (cbrt.f64 (fma.f64 x x y)) #s(literal 4 binary64)) #s(literal 2 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (cbrt.f64 (fma.f64 x x y))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y (-.f64 y (pow.f64 x #s(literal 2 binary64))) (pow.f64 x #s(literal 4 binary64))) (+.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 y #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) y) (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 2 binary64)))))
(/.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 y #s(literal 3 binary64))) (fma.f64 y (-.f64 y (pow.f64 x #s(literal 2 binary64))) (pow.f64 x #s(literal 4 binary64))))
(/.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 y #s(literal 3 binary64))) (fma.f64 y y (-.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 (pow.f64 x #s(literal 2 binary64)) y))))
(/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 2 binary64))) (-.f64 (pow.f64 x #s(literal 2 binary64)) y))
(/.f64 (neg.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 y #s(literal 3 binary64)))) (neg.f64 (fma.f64 y (-.f64 y (pow.f64 x #s(literal 2 binary64))) (pow.f64 x #s(literal 4 binary64)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 2 binary64)))) (neg.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) y)))
(/.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64))) (-.f64 y (pow.f64 x #s(literal 2 binary64))))
(pow.f64 (fma.f64 x x y) #s(literal 1 binary64))
(pow.f64 (hypot.f64 x (sqrt.f64 y)) #s(literal 2 binary64))
(pow.f64 (cbrt.f64 (hypot.f64 x (sqrt.f64 y))) #s(literal 6 binary64))
(pow.f64 (cbrt.f64 (fma.f64 x x y)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (hypot.f64 x (sqrt.f64 y)) #s(literal 3 binary64)) #s(literal 2/3 binary64))
(pow.f64 (pow.f64 (hypot.f64 x (sqrt.f64 y)) #s(literal 4 binary64)) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (hypot.f64 x (sqrt.f64 y)) #s(literal 6 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (hypot.f64 x (sqrt.f64 y))) #s(literal 4 binary64))
(pow.f64 (/.f64 (fma.f64 y (-.f64 y (pow.f64 x #s(literal 2 binary64))) (pow.f64 x #s(literal 4 binary64))) (+.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 y #s(literal 3 binary64)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) y) (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 2 binary64)))) #s(literal -1 binary64))
(sqrt.f64 (pow.f64 (hypot.f64 x (sqrt.f64 y)) #s(literal 4 binary64)))
(log.f64 (exp.f64 (fma.f64 x x y)))
(cbrt.f64 (pow.f64 (hypot.f64 x (sqrt.f64 y)) #s(literal 6 binary64)))
(expm1.f64 (log1p.f64 (fma.f64 x x y)))
(log1p.f64 (expm1.f64 (fma.f64 x x y)))
(exp.f64 (log.f64 (fma.f64 x x y)))
(exp.f64 (*.f64 (log.f64 (fma.f64 x x y)) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (hypot.f64 x (sqrt.f64 y))) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (fma.f64 x x y))) #s(literal 3 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (hypot.f64 x (sqrt.f64 y)) #s(literal 4 binary64))) #s(literal 1/2 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (hypot.f64 x (sqrt.f64 y)) #s(literal 6 binary64))) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (*.f64 (log.f64 (fma.f64 x x y)) #s(literal 1 binary64)) #s(literal 1 binary64)))
(exp.f64 (*.f64 (*.f64 (log.f64 (fma.f64 x x y)) #s(literal 1/2 binary64)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (*.f64 (log.f64 (hypot.f64 x (sqrt.f64 y))) #s(literal 1 binary64)) #s(literal 2 binary64)))
(exp.f64 (+.f64 (log.f64 (hypot.f64 x (sqrt.f64 y))) (*.f64 (log.f64 (fma.f64 x x y)) #s(literal 1/2 binary64))))
(exp.f64 (+.f64 (log.f64 (hypot.f64 x (sqrt.f64 y))) (*.f64 (log.f64 (hypot.f64 x (sqrt.f64 y))) #s(literal 1 binary64))))
(exp.f64 (+.f64 (*.f64 (log.f64 (fma.f64 x x y)) #s(literal 1/2 binary64)) (log.f64 (hypot.f64 x (sqrt.f64 y)))))
(exp.f64 (+.f64 (*.f64 (log.f64 (fma.f64 x x y)) #s(literal 1/2 binary64)) (*.f64 (log.f64 (fma.f64 x x y)) #s(literal 1/2 binary64))))
(exp.f64 (+.f64 (*.f64 (log.f64 (fma.f64 x x y)) #s(literal 1/2 binary64)) (*.f64 (log.f64 (hypot.f64 x (sqrt.f64 y))) #s(literal 1 binary64))))
(exp.f64 (+.f64 (*.f64 (log.f64 (hypot.f64 x (sqrt.f64 y))) #s(literal 1 binary64)) (log.f64 (hypot.f64 x (sqrt.f64 y)))))
(exp.f64 (+.f64 (*.f64 (log.f64 (hypot.f64 x (sqrt.f64 y))) #s(literal 1 binary64)) (*.f64 (log.f64 (fma.f64 x x y)) #s(literal 1/2 binary64))))
(exp.f64 (+.f64 (*.f64 (log.f64 (hypot.f64 x (sqrt.f64 y))) #s(literal 1 binary64)) (*.f64 (log.f64 (hypot.f64 x (sqrt.f64 y))) #s(literal 1 binary64))))
(fma.f64 x x y)
(fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1 binary64) y)
(fma.f64 y #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))
(fma.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)) y)
(fma.f64 #s(literal 1 binary64) y (pow.f64 x #s(literal 2 binary64)))
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 x) #s(literal 4 binary64)) y)
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 4 binary64)) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) y)
(fma.f64 (cbrt.f64 y) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))
(fma.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (cbrt.f64 y) (pow.f64 x #s(literal 2 binary64)))
(fma.f64 (sqrt.f64 y) (sqrt.f64 y) (pow.f64 x #s(literal 2 binary64)))
(fma.f64 (sqrt.f64 x) (pow.f64 x #s(literal 3/2 binary64)) y)
(fma.f64 (pow.f64 x #s(literal 3/2 binary64)) (sqrt.f64 x) y)
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 5 binary64)) (cbrt.f64 x) y)

simplify142.0ms (3.3%)

Algorithm
egg-herbie
Rules
489×distribute-lft-in
464×fmm-def
456×distribute-rgt-in
356×*-commutative
301×times-frac
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
04416351
19666219
227036195
365566192
Stop Event
node limit
Counts
209 → 252
Calls
Call 1
Inputs
(pow.f64 x #s(literal 2 binary64))
(pow.f64 x #s(literal 2 binary64))
(pow.f64 x #s(literal 2 binary64))
(pow.f64 x #s(literal 2 binary64))
(pow.f64 x #s(literal 2 binary64))
(pow.f64 x #s(literal 2 binary64))
(pow.f64 x #s(literal 2 binary64))
(pow.f64 x #s(literal 2 binary64))
(pow.f64 x #s(literal 2 binary64))
(pow.f64 x #s(literal 2 binary64))
(pow.f64 x #s(literal 2 binary64))
(pow.f64 x #s(literal 2 binary64))
(sqrt.f64 y)
(+.f64 (sqrt.f64 y) (*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)))))
(+.f64 (sqrt.f64 y) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.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 3 binary64)))))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) y))))))
(+.f64 (sqrt.f64 y) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) y))) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.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 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 5 binary64)))))))))))
x
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 y (pow.f64 x #s(literal 2 binary64))))))
(*.f64 x (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 y (pow.f64 x #s(literal 2 binary64)))))))
(*.f64 x (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)))) (+.f64 (*.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 y (pow.f64 x #s(literal 2 binary64))))))))
(*.f64 #s(literal -1 binary64) x)
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 y (pow.f64 x #s(literal 2 binary64)))))))
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 y (pow.f64 x #s(literal 2 binary64))))))))
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)))) (+.f64 (*.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 y (pow.f64 x #s(literal 2 binary64)))))))))
x
(+.f64 x (*.f64 #s(literal 1/2 binary64) (/.f64 y x)))
(+.f64 x (*.f64 y (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 y (pow.f64 x #s(literal 3 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))))
(+.f64 x (*.f64 y (+.f64 (*.f64 y (-.f64 (*.f64 #s(literal 1/16 binary64) (/.f64 y (pow.f64 x #s(literal 5 binary64)))) (*.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))))
(sqrt.f64 y)
(*.f64 y (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))))))))
(*.f64 y (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 5 binary64)))))) (*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))))))))
(*.f64 y (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (pow.f64 x #s(literal 4 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 6 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 7 binary64)))))) (*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))))))))))
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(exp.f64 (+.f64 (*.f64 (log.f64 (hypot.f64 x (sqrt.f64 y))) #s(literal 1 binary64)) (log.f64 (hypot.f64 x (sqrt.f64 y)))))
(exp.f64 (+.f64 (*.f64 (log.f64 (hypot.f64 x (sqrt.f64 y))) #s(literal 1 binary64)) (*.f64 (log.f64 (fma.f64 x x y)) #s(literal 1/2 binary64))))
(exp.f64 (+.f64 (*.f64 (log.f64 (hypot.f64 x (sqrt.f64 y))) #s(literal 1 binary64)) (*.f64 (log.f64 (hypot.f64 x (sqrt.f64 y))) #s(literal 1 binary64))))
(fma.f64 x x y)
(fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1 binary64) y)
(fma.f64 y #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))
(fma.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)) y)
(fma.f64 #s(literal 1 binary64) y (pow.f64 x #s(literal 2 binary64)))
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 x) #s(literal 4 binary64)) y)
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 4 binary64)) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) y)
(fma.f64 (cbrt.f64 y) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))
(fma.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (cbrt.f64 y) (pow.f64 x #s(literal 2 binary64)))
(fma.f64 (sqrt.f64 y) (sqrt.f64 y) (pow.f64 x #s(literal 2 binary64)))
(fma.f64 (sqrt.f64 x) (pow.f64 x #s(literal 3/2 binary64)) y)
(fma.f64 (pow.f64 x #s(literal 3/2 binary64)) (sqrt.f64 x) y)
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 5 binary64)) (cbrt.f64 x) y)
Outputs
(pow.f64 x #s(literal 2 binary64))
(pow.f64 x #s(literal 2 binary64))
(pow.f64 x #s(literal 2 binary64))
(pow.f64 x #s(literal 2 binary64))
(pow.f64 x #s(literal 2 binary64))
(pow.f64 x #s(literal 2 binary64))
(pow.f64 x #s(literal 2 binary64))
(pow.f64 x #s(literal 2 binary64))
(pow.f64 x #s(literal 2 binary64))
(pow.f64 x #s(literal 2 binary64))
(pow.f64 x #s(literal 2 binary64))
(pow.f64 x #s(literal 2 binary64))
(sqrt.f64 y)
(+.f64 (sqrt.f64 y) (*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)))))
(+.f64 (sqrt.f64 y) (*.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) y))))
(fma.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) y))) (sqrt.f64 y))
(+.f64 (sqrt.f64 y) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.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 3 binary64)))))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) y))))))
(+.f64 (sqrt.f64 y) (*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.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 3 binary64))))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) y))))))
(fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/8 binary64)) (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)))) (sqrt.f64 y))
(fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))) (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/8 binary64)))) (sqrt.f64 y))
(+.f64 (sqrt.f64 y) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) y))) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.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 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 5 binary64)))))))))))
(+.f64 (sqrt.f64 y) (*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))) (*.f64 (*.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 5 binary64))))))))))
(fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.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 (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) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)))) (sqrt.f64 y))
(fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 5 binary64)))) (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/16 binary64)))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)))) (sqrt.f64 y))
x
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 y (pow.f64 x #s(literal 2 binary64))))))
(*.f64 x (fma.f64 #s(literal 1/2 binary64) (/.f64 y (pow.f64 x #s(literal 2 binary64))) #s(literal 1 binary64)))
(*.f64 x (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 y (pow.f64 x #s(literal 2 binary64)))))))
(*.f64 x (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 y (pow.f64 x #s(literal 2 binary64)))))))
(*.f64 x (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (/.f64 y (pow.f64 x #s(literal 2 binary64))) (/.f64 (*.f64 #s(literal -1/8 binary64) (pow.f64 y #s(literal 2 binary64))) (pow.f64 x #s(literal 4 binary64))))))
(*.f64 x (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64))) (*.f64 y (/.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)))))))
(*.f64 x (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)))) (+.f64 (*.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 y (pow.f64 x #s(literal 2 binary64))))))))
(*.f64 x (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64))) (fma.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 y (pow.f64 x #s(literal 2 binary64))))))))
(*.f64 x (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64))) (fma.f64 #s(literal 1/2 binary64) (/.f64 y (pow.f64 x #s(literal 2 binary64))) (*.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64))))))))
(*.f64 x (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64))) (fma.f64 #s(literal 1/2 binary64) (/.f64 y (pow.f64 x #s(literal 2 binary64))) (*.f64 (pow.f64 y #s(literal 3 binary64)) (/.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal 6 binary64))))))))
(*.f64 x (+.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 y (pow.f64 x #s(literal 2 binary64))) #s(literal 1 binary64)) (fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64))) (/.f64 (*.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1/16 binary64)) (pow.f64 x #s(literal 6 binary64))))))
(*.f64 #s(literal -1 binary64) x)
(neg.f64 x)
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 y (pow.f64 x #s(literal 2 binary64)))))))
(*.f64 (neg.f64 x) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 y (pow.f64 x #s(literal 2 binary64))))))
(*.f64 x (neg.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 y (pow.f64 x #s(literal 2 binary64))) #s(literal 1 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 y (pow.f64 x #s(literal 2 binary64))))))))
(*.f64 (neg.f64 x) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 y (pow.f64 x #s(literal 2 binary64)))))))
(*.f64 (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (/.f64 y (pow.f64 x #s(literal 2 binary64))) (/.f64 (*.f64 #s(literal -1/8 binary64) (pow.f64 y #s(literal 2 binary64))) (pow.f64 x #s(literal 4 binary64))))) (neg.f64 x))
(*.f64 x (+.f64 #s(literal -1 binary64) (neg.f64 (fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64))) (*.f64 y (/.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64))))))))
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)))) (+.f64 (*.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 y (pow.f64 x #s(literal 2 binary64)))))))))
(*.f64 (neg.f64 x) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64))) (fma.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 y (pow.f64 x #s(literal 2 binary64))))))))
(*.f64 x (neg.f64 (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64))) (fma.f64 #s(literal 1/2 binary64) (/.f64 y (pow.f64 x #s(literal 2 binary64))) (*.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)))))))))
(*.f64 x (neg.f64 (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64))) (fma.f64 #s(literal 1/2 binary64) (/.f64 y (pow.f64 x #s(literal 2 binary64))) (*.f64 (pow.f64 y #s(literal 3 binary64)) (/.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal 6 binary64)))))))))
(*.f64 x (neg.f64 (+.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 y (pow.f64 x #s(literal 2 binary64))) #s(literal 1 binary64)) (fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64))) (/.f64 (*.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1/16 binary64)) (pow.f64 x #s(literal 6 binary64)))))))
x
(+.f64 x (*.f64 #s(literal 1/2 binary64) (/.f64 y x)))
(+.f64 x (/.f64 (*.f64 #s(literal 1/2 binary64) y) x))
(fma.f64 #s(literal 1/2 binary64) (/.f64 y x) x)
(+.f64 x (*.f64 y (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 y (pow.f64 x #s(literal 3 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))))
(+.f64 x (*.f64 y (fma.f64 #s(literal -1/8 binary64) (/.f64 y (pow.f64 x #s(literal 3 binary64))) (/.f64 #s(literal 1/2 binary64) x))))
(fma.f64 y (fma.f64 #s(literal -1/8 binary64) (/.f64 y (pow.f64 x #s(literal 3 binary64))) (/.f64 #s(literal 1/2 binary64) x)) x)
(+.f64 x (*.f64 y (+.f64 (*.f64 y (-.f64 (*.f64 #s(literal 1/16 binary64) (/.f64 y (pow.f64 x #s(literal 5 binary64)))) (*.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))))
(+.f64 x (*.f64 y (fma.f64 y (-.f64 (/.f64 (*.f64 #s(literal 1/16 binary64) y) (pow.f64 x #s(literal 5 binary64))) (/.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 3 binary64)))) (/.f64 #s(literal 1/2 binary64) x))))
(fma.f64 y (fma.f64 y (fma.f64 #s(literal 1/16 binary64) (/.f64 y (pow.f64 x #s(literal 5 binary64))) (/.f64 #s(literal -1/8 binary64) (pow.f64 x #s(literal 3 binary64)))) (/.f64 #s(literal 1/2 binary64) x)) x)
(fma.f64 y (fma.f64 y (fma.f64 y (/.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal 5 binary64))) (/.f64 #s(literal -1/8 binary64) (pow.f64 x #s(literal 3 binary64)))) (/.f64 #s(literal 1/2 binary64) x)) x)
(sqrt.f64 y)
(*.f64 y (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))))))))
(*.f64 y (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (*.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))))))
(*.f64 y (fma.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) y))))
(*.f64 y (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 5 binary64)))))) (*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))))))))
(*.f64 y (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (fma.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 5 binary64)))) (pow.f64 x #s(literal 4 binary64))) (*.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))))))))
(*.f64 y (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (fma.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 5 binary64)))) (*.f64 #s(literal -1/8 binary64) (pow.f64 x #s(literal 4 binary64)))))))
(*.f64 y (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (fma.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 5 binary64)))) (pow.f64 x #s(literal 4 binary64))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))) (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/2 binary64))))))
(*.f64 y (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (pow.f64 x #s(literal 4 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 6 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 7 binary64)))))) (*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))))))))))
(*.f64 y (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (fma.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 5 binary64)))) (pow.f64 x #s(literal 4 binary64))) (fma.f64 #s(literal 1/16 binary64) (*.f64 (pow.f64 x #s(literal 6 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 7 binary64))))) (*.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))))))))
(*.f64 y (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (fma.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 5 binary64)))) (pow.f64 x #s(literal 4 binary64))) (fma.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))))) (*.f64 #s(literal 1/16 binary64) (*.f64 (pow.f64 x #s(literal 6 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 7 binary64))))))))))
(*.f64 y (+.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) y))) (fma.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 5 binary64)))) (pow.f64 x #s(literal 4 binary64))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 7 binary64)))) (*.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal 6 binary64)))))))
(*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 y) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))
(sqrt.f64 y)
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (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))))))
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(/.f64 (hypot.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3/2 binary64))) (sqrt.f64 (fma.f64 y (-.f64 y (pow.f64 x #s(literal 2 binary64))) (pow.f64 x #s(literal 4 binary64)))))
(pow.f64 (fma.f64 x x y) #s(literal 1/2 binary64))
(hypot.f64 x (sqrt.f64 y))
(pow.f64 (hypot.f64 x (sqrt.f64 y)) #s(literal 1 binary64))
(hypot.f64 x (sqrt.f64 y))
(pow.f64 (cbrt.f64 (hypot.f64 x (sqrt.f64 y))) #s(literal 3 binary64))
(hypot.f64 x (sqrt.f64 y))
(pow.f64 (cbrt.f64 (fma.f64 x x y)) #s(literal 3/2 binary64))
(pow.f64 (pow.f64 (hypot.f64 x (sqrt.f64 y)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(hypot.f64 x (sqrt.f64 y))
(pow.f64 (pow.f64 (hypot.f64 x (sqrt.f64 y)) #s(literal 4 binary64)) #s(literal 1/4 binary64))
(hypot.f64 x (sqrt.f64 y))
(pow.f64 (pow.f64 (hypot.f64 x (sqrt.f64 y)) #s(literal 6 binary64)) #s(literal 1/6 binary64))
(pow.f64 (sqrt.f64 (hypot.f64 x (sqrt.f64 y))) #s(literal 2 binary64))
(hypot.f64 x (sqrt.f64 y))
(fabs.f64 (hypot.f64 x (sqrt.f64 y)))
(hypot.f64 x (sqrt.f64 y))
(log.f64 (exp.f64 (hypot.f64 x (sqrt.f64 y))))
(hypot.f64 x (sqrt.f64 y))
(cbrt.f64 (pow.f64 (hypot.f64 x (sqrt.f64 y)) #s(literal 3 binary64)))
(hypot.f64 x (sqrt.f64 y))
(expm1.f64 (log1p.f64 (hypot.f64 x (sqrt.f64 y))))
(hypot.f64 x (sqrt.f64 y))
(hypot.f64 x (sqrt.f64 y))
(hypot.f64 (sqrt.f64 y) x)
(hypot.f64 x (sqrt.f64 y))
(log1p.f64 (expm1.f64 (hypot.f64 x (sqrt.f64 y))))
(hypot.f64 x (sqrt.f64 y))
(exp.f64 (log.f64 (hypot.f64 x (sqrt.f64 y))))
(hypot.f64 x (sqrt.f64 y))
(exp.f64 (*.f64 (log.f64 (fma.f64 x x y)) #s(literal 1/2 binary64)))
(hypot.f64 x (sqrt.f64 y))
(exp.f64 (*.f64 (log.f64 (hypot.f64 x (sqrt.f64 y))) #s(literal 1 binary64)))
(hypot.f64 x (sqrt.f64 y))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (hypot.f64 x (sqrt.f64 y)))) #s(literal 3 binary64)))
(hypot.f64 x (sqrt.f64 y))
(exp.f64 (*.f64 (*.f64 #s(literal 3 binary64) (log.f64 (hypot.f64 x (sqrt.f64 y)))) #s(literal 1/3 binary64)))
(hypot.f64 x (sqrt.f64 y))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (hypot.f64 x (sqrt.f64 y)))) #s(literal 2 binary64)))
(hypot.f64 x (sqrt.f64 y))
(exp.f64 (*.f64 (*.f64 (log.f64 (fma.f64 x x y)) #s(literal 1 binary64)) #s(literal 1/2 binary64)))
(hypot.f64 x (sqrt.f64 y))
(exp.f64 (*.f64 (*.f64 (log.f64 (fma.f64 x x y)) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(hypot.f64 x (sqrt.f64 y))
(exp.f64 (*.f64 (*.f64 (log.f64 (hypot.f64 x (sqrt.f64 y))) #s(literal 1 binary64)) #s(literal 1 binary64)))
(hypot.f64 x (sqrt.f64 y))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 x x y))) #s(literal 1 binary64))
(fma.f64 x x y)
(-.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (pow.f64 x #s(literal 2 binary64)) y)) (/.f64 (pow.f64 y #s(literal 2 binary64)) (-.f64 (pow.f64 x #s(literal 2 binary64)) y)))
(/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 2 binary64))) (-.f64 (pow.f64 x #s(literal 2 binary64)) y))
(*.f64 (fma.f64 x x y) #s(literal 1 binary64))
(fma.f64 x x y)
(*.f64 (fma.f64 x x y) (log.f64 (exp.f64 #s(literal 1 binary64))))
(fma.f64 x x y)
(*.f64 (hypot.f64 x (sqrt.f64 y)) (hypot.f64 x (sqrt.f64 y)))
(fma.f64 x x y)
(*.f64 #s(literal 1 binary64) (fma.f64 x x y))
(fma.f64 x x y)
(*.f64 (cbrt.f64 (fma.f64 x x y)) (pow.f64 (cbrt.f64 (hypot.f64 x (sqrt.f64 y))) #s(literal 4 binary64)))
(fma.f64 x x y)
(*.f64 (cbrt.f64 (fma.f64 x x y)) (pow.f64 (pow.f64 (cbrt.f64 (fma.f64 x x y)) #s(literal 4 binary64)) #s(literal 1/2 binary64)))
(*.f64 (cbrt.f64 (fma.f64 x x y)) (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 x x y)) #s(literal 4 binary64))))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 x x y)) #s(literal 4 binary64))) (cbrt.f64 (fma.f64 x x y)))
(*.f64 (pow.f64 (cbrt.f64 (hypot.f64 x (sqrt.f64 y))) #s(literal 4 binary64)) (cbrt.f64 (fma.f64 x x y)))
(fma.f64 x x y)
(*.f64 (sqrt.f64 (hypot.f64 x (sqrt.f64 y))) (pow.f64 (hypot.f64 x (sqrt.f64 y)) #s(literal 3/2 binary64)))
(*.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 y #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 y (-.f64 y (pow.f64 x #s(literal 2 binary64))) (pow.f64 x #s(literal 4 binary64)))))
(/.f64 (*.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64))) #s(literal 1 binary64)) (fma.f64 y (-.f64 y (pow.f64 x #s(literal 2 binary64))) (pow.f64 x #s(literal 4 binary64))))
(/.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64))) (fma.f64 y (-.f64 y (pow.f64 x #s(literal 2 binary64))) (pow.f64 x #s(literal 4 binary64))))
(*.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (pow.f64 x #s(literal 2 binary64)) y)))
(/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 2 binary64))) (-.f64 (pow.f64 x #s(literal 2 binary64)) y))
(*.f64 (pow.f64 (hypot.f64 x (sqrt.f64 y)) #s(literal 3/2 binary64)) (sqrt.f64 (hypot.f64 x (sqrt.f64 y))))
(*.f64 (sqrt.f64 (hypot.f64 x (sqrt.f64 y))) (pow.f64 (hypot.f64 x (sqrt.f64 y)) #s(literal 3/2 binary64)))
(*.f64 (pow.f64 (fma.f64 x x y) #s(literal 5/6 binary64)) (cbrt.f64 (hypot.f64 x (sqrt.f64 y))))
(*.f64 (cbrt.f64 (hypot.f64 x (sqrt.f64 y))) (pow.f64 (fma.f64 x x y) #s(literal 5/6 binary64)))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/3 binary64)) (fma.f64 x x y))
(fma.f64 x x y)
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 x x y))) #s(literal 2 binary64)) #s(literal 3 binary64)) (cbrt.f64 (fma.f64 x x y)))
(fma.f64 x x y)
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (fma.f64 x x y)) #s(literal 4 binary64)) #s(literal 1/2 binary64)) (cbrt.f64 (fma.f64 x x y)))
(*.f64 (cbrt.f64 (fma.f64 x x y)) (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 x x y)) #s(literal 4 binary64))))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 x x y)) #s(literal 4 binary64))) (cbrt.f64 (fma.f64 x x y)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (fma.f64 x x y)) #s(literal 5 binary64)) #s(literal 1/2 binary64)) (cbrt.f64 (hypot.f64 x (sqrt.f64 y))))
(*.f64 (cbrt.f64 (hypot.f64 x (sqrt.f64 y))) (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 x x y)) #s(literal 5 binary64))))
(*.f64 (pow.f64 (pow.f64 (fma.f64 x x y) #s(literal 5/2 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (hypot.f64 x (sqrt.f64 y))))
(*.f64 (cbrt.f64 (hypot.f64 x (sqrt.f64 y))) (cbrt.f64 (pow.f64 (fma.f64 x x y) #s(literal 5/2 binary64))))
(*.f64 (pow.f64 (pow.f64 (pow.f64 (cbrt.f64 (fma.f64 x x y)) #s(literal 4 binary64)) #s(literal 2 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (cbrt.f64 (fma.f64 x x y))))
(*.f64 (cbrt.f64 (cbrt.f64 (fma.f64 x x y))) (cbrt.f64 (pow.f64 (pow.f64 (cbrt.f64 (fma.f64 x x y)) #s(literal 4 binary64)) #s(literal 2 binary64))))
(*.f64 (cbrt.f64 (cbrt.f64 (fma.f64 x x y))) (cbrt.f64 (pow.f64 (cbrt.f64 (fma.f64 x x y)) #s(literal 8 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y (-.f64 y (pow.f64 x #s(literal 2 binary64))) (pow.f64 x #s(literal 4 binary64))) (+.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 y #s(literal 3 binary64)))))
(/.f64 (*.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64))) #s(literal 1 binary64)) (fma.f64 y (-.f64 y (pow.f64 x #s(literal 2 binary64))) (pow.f64 x #s(literal 4 binary64))))
(/.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64))) (fma.f64 y (-.f64 y (pow.f64 x #s(literal 2 binary64))) (pow.f64 x #s(literal 4 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) y) (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 2 binary64))) (-.f64 (pow.f64 x #s(literal 2 binary64)) y))
(/.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 y #s(literal 3 binary64))) (fma.f64 y (-.f64 y (pow.f64 x #s(literal 2 binary64))) (pow.f64 x #s(literal 4 binary64))))
(/.f64 (*.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64))) #s(literal 1 binary64)) (fma.f64 y (-.f64 y (pow.f64 x #s(literal 2 binary64))) (pow.f64 x #s(literal 4 binary64))))
(/.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64))) (fma.f64 y (-.f64 y (pow.f64 x #s(literal 2 binary64))) (pow.f64 x #s(literal 4 binary64))))
(/.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 y #s(literal 3 binary64))) (fma.f64 y y (-.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 (pow.f64 x #s(literal 2 binary64)) y))))
(/.f64 (*.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64))) #s(literal 1 binary64)) (fma.f64 y (-.f64 y (pow.f64 x #s(literal 2 binary64))) (pow.f64 x #s(literal 4 binary64))))
(/.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64))) (fma.f64 y (-.f64 y (pow.f64 x #s(literal 2 binary64))) (pow.f64 x #s(literal 4 binary64))))
(/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 2 binary64))) (-.f64 (pow.f64 x #s(literal 2 binary64)) y))
(/.f64 (neg.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 y #s(literal 3 binary64)))) (neg.f64 (fma.f64 y (-.f64 y (pow.f64 x #s(literal 2 binary64))) (pow.f64 x #s(literal 4 binary64)))))
(/.f64 (*.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64))) #s(literal 1 binary64)) (fma.f64 y (-.f64 y (pow.f64 x #s(literal 2 binary64))) (pow.f64 x #s(literal 4 binary64))))
(/.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64))) (fma.f64 y (-.f64 y (pow.f64 x #s(literal 2 binary64))) (pow.f64 x #s(literal 4 binary64))))
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 2 binary64)))) (neg.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) y)))
(/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 2 binary64))) (-.f64 (pow.f64 x #s(literal 2 binary64)) y))
(/.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64))) (-.f64 y (pow.f64 x #s(literal 2 binary64))))
(/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 2 binary64))) (-.f64 (pow.f64 x #s(literal 2 binary64)) y))
(pow.f64 (fma.f64 x x y) #s(literal 1 binary64))
(fma.f64 x x y)
(pow.f64 (hypot.f64 x (sqrt.f64 y)) #s(literal 2 binary64))
(fma.f64 x x y)
(pow.f64 (cbrt.f64 (hypot.f64 x (sqrt.f64 y))) #s(literal 6 binary64))
(fma.f64 x x y)
(pow.f64 (cbrt.f64 (fma.f64 x x y)) #s(literal 3 binary64))
(fma.f64 x x y)
(pow.f64 (pow.f64 (hypot.f64 x (sqrt.f64 y)) #s(literal 3 binary64)) #s(literal 2/3 binary64))
(fma.f64 x x y)
(pow.f64 (pow.f64 (hypot.f64 x (sqrt.f64 y)) #s(literal 4 binary64)) #s(literal 1/2 binary64))
(fma.f64 x x y)
(pow.f64 (pow.f64 (hypot.f64 x (sqrt.f64 y)) #s(literal 6 binary64)) #s(literal 1/3 binary64))
(cbrt.f64 (pow.f64 (hypot.f64 x (sqrt.f64 y)) #s(literal 6 binary64)))
(pow.f64 (sqrt.f64 (hypot.f64 x (sqrt.f64 y))) #s(literal 4 binary64))
(fma.f64 x x y)
(pow.f64 (/.f64 (fma.f64 y (-.f64 y (pow.f64 x #s(literal 2 binary64))) (pow.f64 x #s(literal 4 binary64))) (+.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 y #s(literal 3 binary64)))) #s(literal -1 binary64))
(/.f64 (*.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64))) #s(literal 1 binary64)) (fma.f64 y (-.f64 y (pow.f64 x #s(literal 2 binary64))) (pow.f64 x #s(literal 4 binary64))))
(/.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64))) (fma.f64 y (-.f64 y (pow.f64 x #s(literal 2 binary64))) (pow.f64 x #s(literal 4 binary64))))
(pow.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) y) (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 2 binary64)))) #s(literal -1 binary64))
(/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 2 binary64))) (-.f64 (pow.f64 x #s(literal 2 binary64)) y))
(sqrt.f64 (pow.f64 (hypot.f64 x (sqrt.f64 y)) #s(literal 4 binary64)))
(fma.f64 x x y)
(log.f64 (exp.f64 (fma.f64 x x y)))
(fma.f64 x x y)
(cbrt.f64 (pow.f64 (hypot.f64 x (sqrt.f64 y)) #s(literal 6 binary64)))
(expm1.f64 (log1p.f64 (fma.f64 x x y)))
(fma.f64 x x y)
(log1p.f64 (expm1.f64 (fma.f64 x x y)))
(fma.f64 x x y)
(exp.f64 (log.f64 (fma.f64 x x y)))
(fma.f64 x x y)
(exp.f64 (*.f64 (log.f64 (fma.f64 x x y)) #s(literal 1 binary64)))
(fma.f64 x x y)
(exp.f64 (*.f64 (log.f64 (hypot.f64 x (sqrt.f64 y))) #s(literal 2 binary64)))
(fma.f64 x x y)
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (fma.f64 x x y))) #s(literal 3 binary64)))
(fma.f64 x x y)
(exp.f64 (*.f64 (log.f64 (pow.f64 (hypot.f64 x (sqrt.f64 y)) #s(literal 4 binary64))) #s(literal 1/2 binary64)))
(fma.f64 x x y)
(exp.f64 (*.f64 (log.f64 (pow.f64 (hypot.f64 x (sqrt.f64 y)) #s(literal 6 binary64))) #s(literal 1/3 binary64)))
(cbrt.f64 (pow.f64 (hypot.f64 x (sqrt.f64 y)) #s(literal 6 binary64)))
(exp.f64 (*.f64 (*.f64 (log.f64 (fma.f64 x x y)) #s(literal 1 binary64)) #s(literal 1 binary64)))
(fma.f64 x x y)
(exp.f64 (*.f64 (*.f64 (log.f64 (fma.f64 x x y)) #s(literal 1/2 binary64)) #s(literal 2 binary64)))
(fma.f64 x x y)
(exp.f64 (*.f64 (*.f64 (log.f64 (hypot.f64 x (sqrt.f64 y))) #s(literal 1 binary64)) #s(literal 2 binary64)))
(fma.f64 x x y)
(exp.f64 (+.f64 (log.f64 (hypot.f64 x (sqrt.f64 y))) (*.f64 (log.f64 (fma.f64 x x y)) #s(literal 1/2 binary64))))
(fma.f64 x x y)
(exp.f64 (+.f64 (log.f64 (hypot.f64 x (sqrt.f64 y))) (*.f64 (log.f64 (hypot.f64 x (sqrt.f64 y))) #s(literal 1 binary64))))
(fma.f64 x x y)
(exp.f64 (+.f64 (*.f64 (log.f64 (fma.f64 x x y)) #s(literal 1/2 binary64)) (log.f64 (hypot.f64 x (sqrt.f64 y)))))
(fma.f64 x x y)
(exp.f64 (+.f64 (*.f64 (log.f64 (fma.f64 x x y)) #s(literal 1/2 binary64)) (*.f64 (log.f64 (fma.f64 x x y)) #s(literal 1/2 binary64))))
(fma.f64 x x y)
(exp.f64 (+.f64 (*.f64 (log.f64 (fma.f64 x x y)) #s(literal 1/2 binary64)) (*.f64 (log.f64 (hypot.f64 x (sqrt.f64 y))) #s(literal 1 binary64))))
(fma.f64 x x y)
(exp.f64 (+.f64 (*.f64 (log.f64 (hypot.f64 x (sqrt.f64 y))) #s(literal 1 binary64)) (log.f64 (hypot.f64 x (sqrt.f64 y)))))
(fma.f64 x x y)
(exp.f64 (+.f64 (*.f64 (log.f64 (hypot.f64 x (sqrt.f64 y))) #s(literal 1 binary64)) (*.f64 (log.f64 (fma.f64 x x y)) #s(literal 1/2 binary64))))
(fma.f64 x x y)
(exp.f64 (+.f64 (*.f64 (log.f64 (hypot.f64 x (sqrt.f64 y))) #s(literal 1 binary64)) (*.f64 (log.f64 (hypot.f64 x (sqrt.f64 y))) #s(literal 1 binary64))))
(fma.f64 x x y)
(fma.f64 x x y)
(fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1 binary64) y)
(fma.f64 x x y)
(fma.f64 y #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))
(fma.f64 x x y)
(fma.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)) y)
(fma.f64 x x y)
(fma.f64 #s(literal 1 binary64) y (pow.f64 x #s(literal 2 binary64)))
(fma.f64 x x y)
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 x) #s(literal 4 binary64)) y)
(fma.f64 x x y)
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 4 binary64)) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) y)
(fma.f64 x x y)
(fma.f64 (cbrt.f64 y) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))
(fma.f64 x x y)
(fma.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (cbrt.f64 y) (pow.f64 x #s(literal 2 binary64)))
(fma.f64 x x y)
(fma.f64 (sqrt.f64 y) (sqrt.f64 y) (pow.f64 x #s(literal 2 binary64)))
(fma.f64 x x y)
(fma.f64 (sqrt.f64 x) (pow.f64 x #s(literal 3/2 binary64)) y)
(fma.f64 (pow.f64 x #s(literal 3/2 binary64)) (sqrt.f64 x) y)
(fma.f64 (sqrt.f64 x) (pow.f64 x #s(literal 3/2 binary64)) y)
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 5 binary64)) (cbrt.f64 x) y)
(fma.f64 x x y)

eval32.0ms (0.7%)

Compiler

Compiled 3920 to 806 computations (79.4% saved)

prune36.0ms (0.8%)

Pruning

3 alts after pruning (3 fresh and 0 done)

PrunedKeptTotal
New2493252
Fresh000
Picked101
Done000
Total2503253
Accuracy
100.0%
Counts
253 → 3
Alt Table
Click to see full alt table
StatusAccuracyProgram
68.5%
(+.f64 x (/.f64 (*.f64 #s(literal 1/2 binary64) y) x))
34.8%
(sqrt.f64 y)
68.2%
x
Compiler

Compiled 16 to 11 computations (31.3% saved)

simplify7.0ms (0.2%)

Algorithm
egg-herbie
Localize:

Found 4 expressions of interest:

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

Useful iterations: 1 (0.0ms)

IterNodesCost
01382
11778
22278
32578
42678
Stop Event
saturated
Calls
Call 1
Inputs
x
(sqrt.f64 y)
y
(+.f64 x (/.f64 (*.f64 #s(literal 1/2 binary64) y) x))
x
(/.f64 (*.f64 #s(literal 1/2 binary64) y) x)
(*.f64 #s(literal 1/2 binary64) y)
#s(literal 1/2 binary64)
y
Outputs
x
(sqrt.f64 y)
y
(+.f64 x (/.f64 (*.f64 #s(literal 1/2 binary64) y) x))
(+.f64 x (*.f64 #s(literal 1/2 binary64) (/.f64 y x)))
(fma.f64 #s(literal 1/2 binary64) (/.f64 y x) x)
(fma.f64 y (/.f64 #s(literal 1/2 binary64) x) x)
x
(/.f64 (*.f64 #s(literal 1/2 binary64) y) x)
(*.f64 #s(literal 1/2 binary64) (/.f64 y x))
(*.f64 y (/.f64 #s(literal 1/2 binary64) x))
(*.f64 #s(literal 1/2 binary64) y)
(*.f64 y #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
y

localize43.0ms (1%)

Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(+.f64 x (/.f64 (*.f64 #s(literal 1/2 binary64) y) x))
accuracy100.0%
(*.f64 #s(literal 1/2 binary64) y)
accuracy100.0%
(/.f64 (*.f64 #s(literal 1/2 binary64) y) x)
accuracy100.0%
(sqrt.f64 y)
Results
14.0ms170×0valid
12.0ms86×0invalid
Compiler

Compiled 24 to 9 computations (62.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 7.0ms
ival-div: 2.0ms (26.7% of total)
ival-mult: 2.0ms (26.7% of total)
ival-sqrt: 2.0ms (26.7% of total)
ival-add: 1.0ms (13.3% of total)
ival-true: 0.0ms (0% of total)
...in/eval/compile.rkt:70:19: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series8.0ms (0.2%)

Counts
4 → 52
Calls
Call 1
Inputs
#<alt (sqrt.f64 y)>
#<alt (/.f64 (*.f64 #s(literal 1/2 binary64) y) x)>
#<alt (*.f64 #s(literal 1/2 binary64) y)>
#<alt (+.f64 x (/.f64 (*.f64 #s(literal 1/2 binary64) y) x))>
Outputs
#<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 (sqrt.f64 y) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 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 (sqrt.f64 y) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal 1/2 binary64) (/.f64 y x))>
#<alt (*.f64 #s(literal 1/2 binary64) (/.f64 y x))>
#<alt (*.f64 #s(literal 1/2 binary64) (/.f64 y x))>
#<alt (*.f64 #s(literal 1/2 binary64) (/.f64 y x))>
#<alt (*.f64 #s(literal 1/2 binary64) (/.f64 y x))>
#<alt (*.f64 #s(literal 1/2 binary64) (/.f64 y x))>
#<alt (*.f64 #s(literal 1/2 binary64) (/.f64 y x))>
#<alt (*.f64 #s(literal 1/2 binary64) (/.f64 y x))>
#<alt (*.f64 #s(literal 1/2 binary64) (/.f64 y x))>
#<alt (*.f64 #s(literal 1/2 binary64) (/.f64 y x))>
#<alt (*.f64 #s(literal 1/2 binary64) (/.f64 y x))>
#<alt (*.f64 #s(literal 1/2 binary64) (/.f64 y x))>
#<alt (*.f64 #s(literal 1/2 binary64) (/.f64 y x))>
#<alt (*.f64 #s(literal 1/2 binary64) (/.f64 y x))>
#<alt (*.f64 #s(literal 1/2 binary64) (/.f64 y x))>
#<alt (*.f64 #s(literal 1/2 binary64) (/.f64 y x))>
#<alt (*.f64 #s(literal 1/2 binary64) (/.f64 y x))>
#<alt (*.f64 #s(literal 1/2 binary64) (/.f64 y x))>
#<alt (*.f64 #s(literal 1/2 binary64) (/.f64 y x))>
#<alt (*.f64 #s(literal 1/2 binary64) (/.f64 y x))>
#<alt (*.f64 #s(literal 1/2 binary64) (/.f64 y x))>
#<alt (*.f64 #s(literal 1/2 binary64) (/.f64 y x))>
#<alt (*.f64 #s(literal 1/2 binary64) (/.f64 y x))>
#<alt (*.f64 #s(literal 1/2 binary64) (/.f64 y x))>
#<alt (*.f64 #s(literal 1/2 binary64) (/.f64 y x))>
#<alt (/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) y) (pow.f64 x #s(literal 2 binary64))) x)>
#<alt (/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) y) (pow.f64 x #s(literal 2 binary64))) x)>
#<alt (/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) y) (pow.f64 x #s(literal 2 binary64))) x)>
#<alt x>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 y (pow.f64 x #s(literal 2 binary64))))))>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 y (pow.f64 x #s(literal 2 binary64))))))>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 y (pow.f64 x #s(literal 2 binary64))))))>
#<alt x>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 y (pow.f64 x #s(literal 2 binary64)))) #s(literal 1 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 y (pow.f64 x #s(literal 2 binary64)))) #s(literal 1 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 y (pow.f64 x #s(literal 2 binary64)))) #s(literal 1 binary64))))>
#<alt x>
#<alt (+.f64 x (*.f64 #s(literal 1/2 binary64) (/.f64 y x)))>
#<alt (+.f64 x (*.f64 #s(literal 1/2 binary64) (/.f64 y x)))>
#<alt (+.f64 x (*.f64 #s(literal 1/2 binary64) (/.f64 y x)))>
#<alt (*.f64 #s(literal 1/2 binary64) (/.f64 y x))>
#<alt (*.f64 y (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) (/.f64 x y)))>
#<alt (*.f64 y (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) (/.f64 x y)))>
#<alt (*.f64 y (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) (/.f64 x y)))>
#<alt (*.f64 #s(literal 1/2 binary64) (/.f64 y x))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x y)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x y)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x y)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))))>
Calls

18 calls:

TimeVariablePointExpression
1.0ms
y
@-inf
(* 1/2 y)
1.0ms
y
@0
(sqrt y)
1.0ms
y
@inf
(/ (* 1/2 y) x)
1.0ms
x
@0
(/ (* 1/2 y) x)
1.0ms
y
@0
(/ (* 1/2 y) x)

rewrite196.0ms (4.5%)

Algorithm
batch-egg-rewrite
Rules
940×prod-diff
780×log1p-expm1-u
780×expm1-log1p-u
409×log-prod
232×fma-define
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01365
114461
2209661
Stop Event
node limit
Counts
4 → 159
Calls
Call 1
Inputs
(sqrt.f64 y)
(/.f64 (*.f64 #s(literal 1/2 binary64) y) x)
(*.f64 #s(literal 1/2 binary64) y)
(+.f64 x (/.f64 (*.f64 #s(literal 1/2 binary64) y) x))
Outputs
(+.f64 #s(literal 0 binary64) (sqrt.f64 y))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (sqrt.f64 y))) (cbrt.f64 (exp.f64 (sqrt.f64 y))))) (log.f64 (cbrt.f64 (exp.f64 (sqrt.f64 y)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 y)))) (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 y)))))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 y))) #s(literal 1 binary64))
(*.f64 (sqrt.f64 y) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (sqrt.f64 y))
(*.f64 (cbrt.f64 (sqrt.f64 y)) (cbrt.f64 y))
(*.f64 (cbrt.f64 y) (cbrt.f64 (sqrt.f64 y)))
(*.f64 (pow.f64 y #s(literal 1/4 binary64)) (pow.f64 y #s(literal 1/4 binary64)))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/2 binary64)) (sqrt.f64 y))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) #s(literal 1/2 binary64)) (pow.f64 (cbrt.f64 y) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (sqrt.f64 (cbrt.f64 y)))
(pow.f64 y #s(literal 1/2 binary64))
(pow.f64 (sqrt.f64 y) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (sqrt.f64 y)) #s(literal 3 binary64))
(pow.f64 (pow.f64 y #s(literal 3/2 binary64)) #s(literal 1/3 binary64))
(pow.f64 (pow.f64 y #s(literal 1/4 binary64)) #s(literal 2 binary64))
(fabs.f64 (sqrt.f64 y))
(log.f64 (exp.f64 (sqrt.f64 y)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (sqrt.f64 y))))
(cbrt.f64 (pow.f64 y #s(literal 3/2 binary64)))
(expm1.f64 (log1p.f64 (sqrt.f64 y)))
(log1p.f64 (expm1.f64 (sqrt.f64 y)))
(exp.f64 (log.f64 (sqrt.f64 y)))
(exp.f64 (*.f64 (log.f64 y) #s(literal 1/2 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 y)) #s(literal 1 binary64)))
(+.f64 #s(literal 0 binary64) (*.f64 y (/.f64 #s(literal 1/2 binary64) x)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (/.f64 y x))) (cbrt.f64 (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (/.f64 y x))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (/.f64 y x)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (/.f64 y x)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (/.f64 y x)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 y (/.f64 #s(literal 1/2 binary64) x)))) #s(literal 1 binary64))
(*.f64 y (/.f64 #s(literal 1/2 binary64) x))
(*.f64 y (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))
(*.f64 #s(literal 1/2 binary64) (/.f64 y x))
(*.f64 (*.f64 y #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) x))
(*.f64 (*.f64 y (/.f64 #s(literal 1/2 binary64) x)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (*.f64 y (/.f64 #s(literal 1/2 binary64) x)))
(*.f64 (cbrt.f64 (*.f64 y (/.f64 #s(literal 1/2 binary64) x))) (pow.f64 (cbrt.f64 (*.f64 y (/.f64 #s(literal 1/2 binary64) x))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 y (/.f64 #s(literal 1/2 binary64) x))) #s(literal 2 binary64)) (cbrt.f64 (*.f64 y (/.f64 #s(literal 1/2 binary64) x))))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 y #s(literal 1/2 binary64))) #s(literal 2 binary64)) (/.f64 (cbrt.f64 (*.f64 y #s(literal 1/2 binary64))) x))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 y #s(literal 1/2 binary64))) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (*.f64 y #s(literal 1/2 binary64))) (/.f64 #s(literal 1 binary64) x)))
(*.f64 (sqrt.f64 (*.f64 y (/.f64 #s(literal 1/2 binary64) x))) (sqrt.f64 (*.f64 y (/.f64 #s(literal 1/2 binary64) x))))
(*.f64 (sqrt.f64 (*.f64 y #s(literal 1/2 binary64))) (/.f64 (sqrt.f64 (*.f64 y #s(literal 1/2 binary64))) x))
(*.f64 (sqrt.f64 (*.f64 y #s(literal 1/2 binary64))) (*.f64 (sqrt.f64 (*.f64 y #s(literal 1/2 binary64))) (/.f64 #s(literal 1 binary64) x)))
(*.f64 (*.f64 y #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) (neg.f64 x)))
(*.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 y #s(literal 1/2 binary64)))
(*.f64 (/.f64 y x) #s(literal 1/2 binary64))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (/.f64 (*.f64 y #s(literal 1/2 binary64)) (cbrt.f64 x)))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 (*.f64 y #s(literal 1/2 binary64)) (sqrt.f64 x)))
(*.f64 (/.f64 y (sqrt.f64 x)) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))
(*.f64 (/.f64 y #s(literal 1 binary64)) (/.f64 #s(literal 1/2 binary64) x))
(*.f64 (/.f64 y (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (/.f64 #s(literal 1/2 binary64) (cbrt.f64 x)))
(*.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) (/.f64 y (sqrt.f64 x)))
(*.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (/.f64 y (cbrt.f64 x)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 y #s(literal 1/2 binary64))) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (cbrt.f64 (*.f64 y #s(literal 1/2 binary64))) x))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 y #s(literal 1/2 binary64))) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 (*.f64 y (/.f64 #s(literal 1/2 binary64) x))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 y #s(literal 1/2 binary64))) #s(literal 2 binary64)) (sqrt.f64 x)) (/.f64 (cbrt.f64 (*.f64 y #s(literal 1/2 binary64))) (sqrt.f64 x)))
(*.f64 (/.f64 (sqrt.f64 (*.f64 y #s(literal 1/2 binary64))) #s(literal 1 binary64)) (/.f64 (sqrt.f64 (*.f64 y #s(literal 1/2 binary64))) x))
(*.f64 (/.f64 (sqrt.f64 (*.f64 y #s(literal 1/2 binary64))) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (/.f64 (sqrt.f64 (*.f64 y #s(literal 1/2 binary64))) (cbrt.f64 x)))
(pow.f64 (*.f64 y (/.f64 #s(literal 1/2 binary64) x)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 y (/.f64 #s(literal 1/2 binary64) x))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 y (/.f64 #s(literal 1/2 binary64) x)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 y (/.f64 #s(literal 1/2 binary64) x))) #s(literal 2 binary64))
(pow.f64 (/.f64 x (*.f64 y #s(literal 1/2 binary64))) #s(literal -1 binary64))
(neg.f64 (/.f64 (*.f64 y #s(literal 1/2 binary64)) (neg.f64 x)))
(neg.f64 (/.f64 (*.f64 y #s(literal -1/2 binary64)) x))
(sqrt.f64 (pow.f64 (*.f64 y (/.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (/.f64 y x)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 y (/.f64 #s(literal 1/2 binary64) x)))))
(cbrt.f64 (pow.f64 (*.f64 y (/.f64 #s(literal 1/2 binary64) x)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 y (/.f64 #s(literal 1/2 binary64) x))))
(log1p.f64 (expm1.f64 (*.f64 y (/.f64 #s(literal 1/2 binary64) x))))
(exp.f64 (log.f64 (*.f64 y (/.f64 #s(literal 1/2 binary64) x))))
(exp.f64 (*.f64 (log.f64 (*.f64 y (/.f64 #s(literal 1/2 binary64) x))) #s(literal 1 binary64)))
(+.f64 #s(literal 0 binary64) (*.f64 y #s(literal 1/2 binary64)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 #s(literal 1/2 binary64)) y)) (cbrt.f64 (pow.f64 (exp.f64 #s(literal 1/2 binary64)) y)))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 #s(literal 1/2 binary64)) y))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 #s(literal 1/2 binary64)) y))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 #s(literal 1/2 binary64)) y))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 y #s(literal 1/2 binary64)))) #s(literal 1 binary64))
(pow.f64 (*.f64 y #s(literal 1/2 binary64)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 y #s(literal 1/2 binary64))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 y #s(literal 1/2 binary64)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 y #s(literal 1/2 binary64))) #s(literal 2 binary64))
(sqrt.f64 (*.f64 (pow.f64 y #s(literal 2 binary64)) #s(literal 1/4 binary64)))
(log.f64 (pow.f64 (exp.f64 #s(literal 1/2 binary64)) y))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 y #s(literal 1/2 binary64)))))
(cbrt.f64 (pow.f64 (*.f64 y #s(literal 1/2 binary64)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 y #s(literal 1/2 binary64))))
(log1p.f64 (expm1.f64 (*.f64 y #s(literal 1/2 binary64))))
(exp.f64 (log.f64 (*.f64 y #s(literal 1/2 binary64))))
(exp.f64 (*.f64 (log.f64 (*.f64 y #s(literal 1/2 binary64))) #s(literal 1 binary64)))
(-.f64 x (/.f64 (*.f64 y #s(literal 1/2 binary64)) (neg.f64 x)))
(-.f64 x (/.f64 (*.f64 y #s(literal -1/2 binary64)) x))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 y (/.f64 #s(literal 1/2 binary64) x) x))) #s(literal 1 binary64))
(-.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 x (*.f64 y (/.f64 #s(literal 1/2 binary64) x)))) (/.f64 (pow.f64 (*.f64 y (/.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)) (-.f64 x (*.f64 y (/.f64 #s(literal 1/2 binary64) x)))))
(*.f64 (fma.f64 y (/.f64 #s(literal 1/2 binary64) x) x) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (fma.f64 y (/.f64 #s(literal 1/2 binary64) x) x))
(*.f64 (cbrt.f64 (fma.f64 y (/.f64 #s(literal 1/2 binary64) x) x)) (pow.f64 (cbrt.f64 (fma.f64 y (/.f64 #s(literal 1/2 binary64) x) x)) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 y (/.f64 #s(literal 1/2 binary64) x) x)) #s(literal 2 binary64)) (cbrt.f64 (fma.f64 y (/.f64 #s(literal 1/2 binary64) x) x)))
(*.f64 (sqrt.f64 (fma.f64 y (/.f64 #s(literal 1/2 binary64) x) x)) (sqrt.f64 (fma.f64 y (/.f64 #s(literal 1/2 binary64) x) x)))
(*.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 (/.f64 y x) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y (/.f64 #s(literal 1/2 binary64) x)) (-.f64 (*.f64 y (/.f64 #s(literal 1/2 binary64) x)) x) (pow.f64 x #s(literal 2 binary64)))))
(*.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (*.f64 y (/.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 x (*.f64 y (/.f64 #s(literal 1/2 binary64) x)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 y (/.f64 #s(literal 1/2 binary64) x)) (-.f64 (*.f64 y (/.f64 #s(literal 1/2 binary64) x)) x) (pow.f64 x #s(literal 2 binary64))) (fma.f64 #s(literal 1/8 binary64) (pow.f64 (/.f64 y x) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x (*.f64 y (/.f64 #s(literal 1/2 binary64) x))) (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (*.f64 y (/.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)))))
(/.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 (/.f64 y x) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (*.f64 y (/.f64 #s(literal 1/2 binary64) x)) (-.f64 (*.f64 y (/.f64 #s(literal 1/2 binary64) x)) x) (pow.f64 x #s(literal 2 binary64))))
(/.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 (/.f64 y x) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 y (/.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)) (-.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 x (*.f64 y (/.f64 #s(literal 1/2 binary64) x))))))
(/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (*.f64 y (/.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64))) (-.f64 x (*.f64 y (/.f64 #s(literal 1/2 binary64) x))))
(/.f64 (neg.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 (/.f64 y x) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (fma.f64 (*.f64 y (/.f64 #s(literal 1/2 binary64) x)) (-.f64 (*.f64 y (/.f64 #s(literal 1/2 binary64) x)) x) (pow.f64 x #s(literal 2 binary64)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (*.f64 y (/.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)))) (neg.f64 (-.f64 x (*.f64 y (/.f64 #s(literal 1/2 binary64) x)))))
(/.f64 (-.f64 (pow.f64 (*.f64 y (/.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) (-.f64 (*.f64 y (/.f64 #s(literal 1/2 binary64) x)) x))
(pow.f64 (fma.f64 y (/.f64 #s(literal 1/2 binary64) x) x) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (fma.f64 y (/.f64 #s(literal 1/2 binary64) x) x)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (fma.f64 y (/.f64 #s(literal 1/2 binary64) x) x) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (fma.f64 y (/.f64 #s(literal 1/2 binary64) x) x)) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (fma.f64 y (/.f64 #s(literal 1/2 binary64) x) x) #s(literal 2 binary64)))
(log.f64 (exp.f64 (fma.f64 y (/.f64 #s(literal 1/2 binary64) x) x)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 y (/.f64 #s(literal 1/2 binary64) x) x))))
(log.f64 (*.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 y (/.f64 #s(literal 1/2 binary64) x))))))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 x)) (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (/.f64 y x))))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 x)) (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 y (/.f64 #s(literal 1/2 binary64) x))))))
(log.f64 (*.f64 (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (/.f64 y x)) (+.f64 #s(literal 1 binary64) (expm1.f64 x))))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 y (/.f64 #s(literal 1/2 binary64) x)))) (exp.f64 x)))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 y (/.f64 #s(literal 1/2 binary64) x)))) (+.f64 #s(literal 1 binary64) (expm1.f64 x))))
(cbrt.f64 (pow.f64 (fma.f64 y (/.f64 #s(literal 1/2 binary64) x) x) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (fma.f64 y (/.f64 #s(literal 1/2 binary64) x) x)))
(log1p.f64 (expm1.f64 (fma.f64 y (/.f64 #s(literal 1/2 binary64) x) x)))
(exp.f64 (log.f64 (fma.f64 y (/.f64 #s(literal 1/2 binary64) x) x)))
(exp.f64 (*.f64 (log.f64 (fma.f64 y (/.f64 #s(literal 1/2 binary64) x) x)) #s(literal 1 binary64)))
(fma.f64 y (/.f64 #s(literal 1/2 binary64) x) x)
(fma.f64 y (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) x)
(fma.f64 #s(literal 1/2 binary64) (/.f64 y x) x)
(fma.f64 (*.f64 y #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) x) x)
(fma.f64 x #s(literal 1 binary64) (*.f64 y (/.f64 #s(literal 1/2 binary64) x)))
(fma.f64 (*.f64 y (/.f64 #s(literal 1/2 binary64) x)) #s(literal 1 binary64) x)
(fma.f64 #s(literal 1 binary64) x (*.f64 y (/.f64 #s(literal 1/2 binary64) x)))
(fma.f64 #s(literal 1 binary64) (*.f64 y (/.f64 #s(literal 1/2 binary64) x)) x)
(fma.f64 (cbrt.f64 (*.f64 y (/.f64 #s(literal 1/2 binary64) x))) (pow.f64 (cbrt.f64 (*.f64 y (/.f64 #s(literal 1/2 binary64) x))) #s(literal 2 binary64)) x)
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 y (/.f64 #s(literal 1/2 binary64) x))) #s(literal 2 binary64)) (cbrt.f64 (*.f64 y (/.f64 #s(literal 1/2 binary64) x))) x)
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 y #s(literal 1/2 binary64))) #s(literal 2 binary64)) (/.f64 (cbrt.f64 (*.f64 y #s(literal 1/2 binary64))) x) x)
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 y #s(literal 1/2 binary64))) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (*.f64 y #s(literal 1/2 binary64))) (/.f64 #s(literal 1 binary64) x)) x)
(fma.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (*.f64 y (/.f64 #s(literal 1/2 binary64) x)))
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (cbrt.f64 x) (*.f64 y (/.f64 #s(literal 1/2 binary64) x)))
(fma.f64 (sqrt.f64 (*.f64 y (/.f64 #s(literal 1/2 binary64) x))) (sqrt.f64 (*.f64 y (/.f64 #s(literal 1/2 binary64) x))) x)
(fma.f64 (sqrt.f64 (*.f64 y #s(literal 1/2 binary64))) (/.f64 (sqrt.f64 (*.f64 y #s(literal 1/2 binary64))) x) x)
(fma.f64 (sqrt.f64 (*.f64 y #s(literal 1/2 binary64))) (*.f64 (sqrt.f64 (*.f64 y #s(literal 1/2 binary64))) (/.f64 #s(literal 1 binary64) x)) x)
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 y (/.f64 #s(literal 1/2 binary64) x)))
(fma.f64 (*.f64 y #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) (neg.f64 x)) x)
(fma.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 y #s(literal 1/2 binary64)) x)
(fma.f64 (/.f64 y x) #s(literal 1/2 binary64) x)
(fma.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (/.f64 (*.f64 y #s(literal 1/2 binary64)) (cbrt.f64 x)) x)
(fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 (*.f64 y #s(literal 1/2 binary64)) (sqrt.f64 x)) x)
(fma.f64 (/.f64 y (sqrt.f64 x)) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) x)
(fma.f64 (/.f64 y #s(literal 1 binary64)) (/.f64 #s(literal 1/2 binary64) x) x)
(fma.f64 (/.f64 y (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (/.f64 #s(literal 1/2 binary64) (cbrt.f64 x)) x)
(fma.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) (/.f64 y (sqrt.f64 x)) x)
(fma.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (/.f64 y (cbrt.f64 x)) x)
(fma.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 y #s(literal 1/2 binary64))) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (cbrt.f64 (*.f64 y #s(literal 1/2 binary64))) x) x)
(fma.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 y #s(literal 1/2 binary64))) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 (*.f64 y (/.f64 #s(literal 1/2 binary64) x))) x)
(fma.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 y #s(literal 1/2 binary64))) #s(literal 2 binary64)) (sqrt.f64 x)) (/.f64 (cbrt.f64 (*.f64 y #s(literal 1/2 binary64))) (sqrt.f64 x)) x)
(fma.f64 (/.f64 (sqrt.f64 (*.f64 y #s(literal 1/2 binary64))) #s(literal 1 binary64)) (/.f64 (sqrt.f64 (*.f64 y #s(literal 1/2 binary64))) x) x)
(fma.f64 (/.f64 (sqrt.f64 (*.f64 y #s(literal 1/2 binary64))) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (/.f64 (sqrt.f64 (*.f64 y #s(literal 1/2 binary64))) (cbrt.f64 x)) x)

simplify145.0ms (3.4%)

Algorithm
egg-herbie
Rules
421×cancel-sign-sub-inv
369×associate-*r/
313×distribute-lft-in
311×*-commutative
304×associate-*l/
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
03456722
17075972
222485101
378505101
Stop Event
node limit
Counts
211 → 194
Calls
Call 1
Inputs
(*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 y) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 y) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 y) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 y) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))
(*.f64 #s(literal 1/2 binary64) (/.f64 y x))
(*.f64 #s(literal 1/2 binary64) (/.f64 y x))
(*.f64 #s(literal 1/2 binary64) (/.f64 y x))
(*.f64 #s(literal 1/2 binary64) (/.f64 y x))
(*.f64 #s(literal 1/2 binary64) (/.f64 y x))
(*.f64 #s(literal 1/2 binary64) (/.f64 y x))
(*.f64 #s(literal 1/2 binary64) (/.f64 y x))
(*.f64 #s(literal 1/2 binary64) (/.f64 y x))
(*.f64 #s(literal 1/2 binary64) (/.f64 y x))
(*.f64 #s(literal 1/2 binary64) (/.f64 y x))
(*.f64 #s(literal 1/2 binary64) (/.f64 y x))
(*.f64 #s(literal 1/2 binary64) (/.f64 y x))
(*.f64 #s(literal 1/2 binary64) (/.f64 y x))
(*.f64 #s(literal 1/2 binary64) (/.f64 y x))
(*.f64 #s(literal 1/2 binary64) (/.f64 y x))
(*.f64 #s(literal 1/2 binary64) (/.f64 y x))
(*.f64 #s(literal 1/2 binary64) (/.f64 y x))
(*.f64 #s(literal 1/2 binary64) (/.f64 y x))
(*.f64 #s(literal 1/2 binary64) (/.f64 y x))
(*.f64 #s(literal 1/2 binary64) (/.f64 y x))
(*.f64 #s(literal 1/2 binary64) (/.f64 y x))
(*.f64 #s(literal 1/2 binary64) (/.f64 y x))
(*.f64 #s(literal 1/2 binary64) (/.f64 y x))
(*.f64 #s(literal 1/2 binary64) (/.f64 y x))
(*.f64 #s(literal 1/2 binary64) (/.f64 y x))
(/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) y) (pow.f64 x #s(literal 2 binary64))) x)
(/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) y) (pow.f64 x #s(literal 2 binary64))) x)
(/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) y) (pow.f64 x #s(literal 2 binary64))) x)
x
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 y (pow.f64 x #s(literal 2 binary64))))))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 y (pow.f64 x #s(literal 2 binary64))))))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 y (pow.f64 x #s(literal 2 binary64))))))
x
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 y (pow.f64 x #s(literal 2 binary64)))) #s(literal 1 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 y (pow.f64 x #s(literal 2 binary64)))) #s(literal 1 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 y (pow.f64 x #s(literal 2 binary64)))) #s(literal 1 binary64))))
x
(+.f64 x (*.f64 #s(literal 1/2 binary64) (/.f64 y x)))
(+.f64 x (*.f64 #s(literal 1/2 binary64) (/.f64 y x)))
(+.f64 x (*.f64 #s(literal 1/2 binary64) (/.f64 y x)))
(*.f64 #s(literal 1/2 binary64) (/.f64 y x))
(*.f64 y (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) (/.f64 x y)))
(*.f64 y (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) (/.f64 x y)))
(*.f64 y (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) (/.f64 x y)))
(*.f64 #s(literal 1/2 binary64) (/.f64 y x))
(*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x y)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))))
(*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x y)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))))
(*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x y)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))))
(+.f64 #s(literal 0 binary64) (sqrt.f64 y))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (sqrt.f64 y))) (cbrt.f64 (exp.f64 (sqrt.f64 y))))) (log.f64 (cbrt.f64 (exp.f64 (sqrt.f64 y)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 y)))) (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 y)))))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 y))) #s(literal 1 binary64))
(*.f64 (sqrt.f64 y) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (sqrt.f64 y))
(*.f64 (cbrt.f64 (sqrt.f64 y)) (cbrt.f64 y))
(*.f64 (cbrt.f64 y) (cbrt.f64 (sqrt.f64 y)))
(*.f64 (pow.f64 y #s(literal 1/4 binary64)) (pow.f64 y #s(literal 1/4 binary64)))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/2 binary64)) (sqrt.f64 y))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) #s(literal 1/2 binary64)) (pow.f64 (cbrt.f64 y) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (sqrt.f64 (cbrt.f64 y)))
(pow.f64 y #s(literal 1/2 binary64))
(pow.f64 (sqrt.f64 y) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (sqrt.f64 y)) #s(literal 3 binary64))
(pow.f64 (pow.f64 y #s(literal 3/2 binary64)) #s(literal 1/3 binary64))
(pow.f64 (pow.f64 y #s(literal 1/4 binary64)) #s(literal 2 binary64))
(fabs.f64 (sqrt.f64 y))
(log.f64 (exp.f64 (sqrt.f64 y)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (sqrt.f64 y))))
(cbrt.f64 (pow.f64 y #s(literal 3/2 binary64)))
(expm1.f64 (log1p.f64 (sqrt.f64 y)))
(log1p.f64 (expm1.f64 (sqrt.f64 y)))
(exp.f64 (log.f64 (sqrt.f64 y)))
(exp.f64 (*.f64 (log.f64 y) #s(literal 1/2 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 y)) #s(literal 1 binary64)))
(+.f64 #s(literal 0 binary64) (*.f64 y (/.f64 #s(literal 1/2 binary64) x)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (/.f64 y x))) (cbrt.f64 (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (/.f64 y x))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (/.f64 y x)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (/.f64 y x)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (/.f64 y x)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 y (/.f64 #s(literal 1/2 binary64) x)))) #s(literal 1 binary64))
(*.f64 y (/.f64 #s(literal 1/2 binary64) x))
(*.f64 y (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))
(*.f64 #s(literal 1/2 binary64) (/.f64 y x))
(*.f64 (*.f64 y #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) x))
(*.f64 (*.f64 y (/.f64 #s(literal 1/2 binary64) x)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (*.f64 y (/.f64 #s(literal 1/2 binary64) x)))
(*.f64 (cbrt.f64 (*.f64 y (/.f64 #s(literal 1/2 binary64) x))) (pow.f64 (cbrt.f64 (*.f64 y (/.f64 #s(literal 1/2 binary64) x))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 y (/.f64 #s(literal 1/2 binary64) x))) #s(literal 2 binary64)) (cbrt.f64 (*.f64 y (/.f64 #s(literal 1/2 binary64) x))))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 y #s(literal 1/2 binary64))) #s(literal 2 binary64)) (/.f64 (cbrt.f64 (*.f64 y #s(literal 1/2 binary64))) x))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 y #s(literal 1/2 binary64))) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (*.f64 y #s(literal 1/2 binary64))) (/.f64 #s(literal 1 binary64) x)))
(*.f64 (sqrt.f64 (*.f64 y (/.f64 #s(literal 1/2 binary64) x))) (sqrt.f64 (*.f64 y (/.f64 #s(literal 1/2 binary64) x))))
(*.f64 (sqrt.f64 (*.f64 y #s(literal 1/2 binary64))) (/.f64 (sqrt.f64 (*.f64 y #s(literal 1/2 binary64))) x))
(*.f64 (sqrt.f64 (*.f64 y #s(literal 1/2 binary64))) (*.f64 (sqrt.f64 (*.f64 y #s(literal 1/2 binary64))) (/.f64 #s(literal 1 binary64) x)))
(*.f64 (*.f64 y #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) (neg.f64 x)))
(*.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 y #s(literal 1/2 binary64)))
(*.f64 (/.f64 y x) #s(literal 1/2 binary64))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (/.f64 (*.f64 y #s(literal 1/2 binary64)) (cbrt.f64 x)))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 (*.f64 y #s(literal 1/2 binary64)) (sqrt.f64 x)))
(*.f64 (/.f64 y (sqrt.f64 x)) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))
(*.f64 (/.f64 y #s(literal 1 binary64)) (/.f64 #s(literal 1/2 binary64) x))
(*.f64 (/.f64 y (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (/.f64 #s(literal 1/2 binary64) (cbrt.f64 x)))
(*.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) (/.f64 y (sqrt.f64 x)))
(*.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (/.f64 y (cbrt.f64 x)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 y #s(literal 1/2 binary64))) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (cbrt.f64 (*.f64 y #s(literal 1/2 binary64))) x))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 y #s(literal 1/2 binary64))) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 (*.f64 y (/.f64 #s(literal 1/2 binary64) x))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 y #s(literal 1/2 binary64))) #s(literal 2 binary64)) (sqrt.f64 x)) (/.f64 (cbrt.f64 (*.f64 y #s(literal 1/2 binary64))) (sqrt.f64 x)))
(*.f64 (/.f64 (sqrt.f64 (*.f64 y #s(literal 1/2 binary64))) #s(literal 1 binary64)) (/.f64 (sqrt.f64 (*.f64 y #s(literal 1/2 binary64))) x))
(*.f64 (/.f64 (sqrt.f64 (*.f64 y #s(literal 1/2 binary64))) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (/.f64 (sqrt.f64 (*.f64 y #s(literal 1/2 binary64))) (cbrt.f64 x)))
(pow.f64 (*.f64 y (/.f64 #s(literal 1/2 binary64) x)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 y (/.f64 #s(literal 1/2 binary64) x))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 y (/.f64 #s(literal 1/2 binary64) x)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 y (/.f64 #s(literal 1/2 binary64) x))) #s(literal 2 binary64))
(pow.f64 (/.f64 x (*.f64 y #s(literal 1/2 binary64))) #s(literal -1 binary64))
(neg.f64 (/.f64 (*.f64 y #s(literal 1/2 binary64)) (neg.f64 x)))
(neg.f64 (/.f64 (*.f64 y #s(literal -1/2 binary64)) x))
(sqrt.f64 (pow.f64 (*.f64 y (/.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (/.f64 y x)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 y (/.f64 #s(literal 1/2 binary64) x)))))
(cbrt.f64 (pow.f64 (*.f64 y (/.f64 #s(literal 1/2 binary64) x)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 y (/.f64 #s(literal 1/2 binary64) x))))
(log1p.f64 (expm1.f64 (*.f64 y (/.f64 #s(literal 1/2 binary64) x))))
(exp.f64 (log.f64 (*.f64 y (/.f64 #s(literal 1/2 binary64) x))))
(exp.f64 (*.f64 (log.f64 (*.f64 y (/.f64 #s(literal 1/2 binary64) x))) #s(literal 1 binary64)))
(+.f64 #s(literal 0 binary64) (*.f64 y #s(literal 1/2 binary64)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 #s(literal 1/2 binary64)) y)) (cbrt.f64 (pow.f64 (exp.f64 #s(literal 1/2 binary64)) y)))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 #s(literal 1/2 binary64)) y))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 #s(literal 1/2 binary64)) y))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 #s(literal 1/2 binary64)) y))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 y #s(literal 1/2 binary64)))) #s(literal 1 binary64))
(pow.f64 (*.f64 y #s(literal 1/2 binary64)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 y #s(literal 1/2 binary64))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 y #s(literal 1/2 binary64)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 y #s(literal 1/2 binary64))) #s(literal 2 binary64))
(sqrt.f64 (*.f64 (pow.f64 y #s(literal 2 binary64)) #s(literal 1/4 binary64)))
(log.f64 (pow.f64 (exp.f64 #s(literal 1/2 binary64)) y))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 y #s(literal 1/2 binary64)))))
(cbrt.f64 (pow.f64 (*.f64 y #s(literal 1/2 binary64)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 y #s(literal 1/2 binary64))))
(log1p.f64 (expm1.f64 (*.f64 y #s(literal 1/2 binary64))))
(exp.f64 (log.f64 (*.f64 y #s(literal 1/2 binary64))))
(exp.f64 (*.f64 (log.f64 (*.f64 y #s(literal 1/2 binary64))) #s(literal 1 binary64)))
(-.f64 x (/.f64 (*.f64 y #s(literal 1/2 binary64)) (neg.f64 x)))
(-.f64 x (/.f64 (*.f64 y #s(literal -1/2 binary64)) x))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 y (/.f64 #s(literal 1/2 binary64) x) x))) #s(literal 1 binary64))
(-.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 x (*.f64 y (/.f64 #s(literal 1/2 binary64) x)))) (/.f64 (pow.f64 (*.f64 y (/.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)) (-.f64 x (*.f64 y (/.f64 #s(literal 1/2 binary64) x)))))
(*.f64 (fma.f64 y (/.f64 #s(literal 1/2 binary64) x) x) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (fma.f64 y (/.f64 #s(literal 1/2 binary64) x) x))
(*.f64 (cbrt.f64 (fma.f64 y (/.f64 #s(literal 1/2 binary64) x) x)) (pow.f64 (cbrt.f64 (fma.f64 y (/.f64 #s(literal 1/2 binary64) x) x)) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 y (/.f64 #s(literal 1/2 binary64) x) x)) #s(literal 2 binary64)) (cbrt.f64 (fma.f64 y (/.f64 #s(literal 1/2 binary64) x) x)))
(*.f64 (sqrt.f64 (fma.f64 y (/.f64 #s(literal 1/2 binary64) x) x)) (sqrt.f64 (fma.f64 y (/.f64 #s(literal 1/2 binary64) x) x)))
(*.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 (/.f64 y x) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y (/.f64 #s(literal 1/2 binary64) x)) (-.f64 (*.f64 y (/.f64 #s(literal 1/2 binary64) x)) x) (pow.f64 x #s(literal 2 binary64)))))
(*.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (*.f64 y (/.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 x (*.f64 y (/.f64 #s(literal 1/2 binary64) x)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 y (/.f64 #s(literal 1/2 binary64) x)) (-.f64 (*.f64 y (/.f64 #s(literal 1/2 binary64) x)) x) (pow.f64 x #s(literal 2 binary64))) (fma.f64 #s(literal 1/8 binary64) (pow.f64 (/.f64 y x) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x (*.f64 y (/.f64 #s(literal 1/2 binary64) x))) (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (*.f64 y (/.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)))))
(/.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 (/.f64 y x) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (*.f64 y (/.f64 #s(literal 1/2 binary64) x)) (-.f64 (*.f64 y (/.f64 #s(literal 1/2 binary64) x)) x) (pow.f64 x #s(literal 2 binary64))))
(/.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 (/.f64 y x) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 y (/.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)) (-.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 x (*.f64 y (/.f64 #s(literal 1/2 binary64) x))))))
(/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (*.f64 y (/.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64))) (-.f64 x (*.f64 y (/.f64 #s(literal 1/2 binary64) x))))
(/.f64 (neg.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 (/.f64 y x) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (fma.f64 (*.f64 y (/.f64 #s(literal 1/2 binary64) x)) (-.f64 (*.f64 y (/.f64 #s(literal 1/2 binary64) x)) x) (pow.f64 x #s(literal 2 binary64)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (*.f64 y (/.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)))) (neg.f64 (-.f64 x (*.f64 y (/.f64 #s(literal 1/2 binary64) x)))))
(/.f64 (-.f64 (pow.f64 (*.f64 y (/.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) (-.f64 (*.f64 y (/.f64 #s(literal 1/2 binary64) x)) x))
(pow.f64 (fma.f64 y (/.f64 #s(literal 1/2 binary64) x) x) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (fma.f64 y (/.f64 #s(literal 1/2 binary64) x) x)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (fma.f64 y (/.f64 #s(literal 1/2 binary64) x) x) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (fma.f64 y (/.f64 #s(literal 1/2 binary64) x) x)) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (fma.f64 y (/.f64 #s(literal 1/2 binary64) x) x) #s(literal 2 binary64)))
(log.f64 (exp.f64 (fma.f64 y (/.f64 #s(literal 1/2 binary64) x) x)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 y (/.f64 #s(literal 1/2 binary64) x) x))))
(log.f64 (*.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 y (/.f64 #s(literal 1/2 binary64) x))))))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 x)) (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (/.f64 y x))))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 x)) (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 y (/.f64 #s(literal 1/2 binary64) x))))))
(log.f64 (*.f64 (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (/.f64 y x)) (+.f64 #s(literal 1 binary64) (expm1.f64 x))))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 y (/.f64 #s(literal 1/2 binary64) x)))) (exp.f64 x)))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 y (/.f64 #s(literal 1/2 binary64) x)))) (+.f64 #s(literal 1 binary64) (expm1.f64 x))))
(cbrt.f64 (pow.f64 (fma.f64 y (/.f64 #s(literal 1/2 binary64) x) x) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (fma.f64 y (/.f64 #s(literal 1/2 binary64) x) x)))
(log1p.f64 (expm1.f64 (fma.f64 y (/.f64 #s(literal 1/2 binary64) x) x)))
(exp.f64 (log.f64 (fma.f64 y (/.f64 #s(literal 1/2 binary64) x) x)))
(exp.f64 (*.f64 (log.f64 (fma.f64 y (/.f64 #s(literal 1/2 binary64) x) x)) #s(literal 1 binary64)))
(fma.f64 y (/.f64 #s(literal 1/2 binary64) x) x)
(fma.f64 y (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) x)
(fma.f64 #s(literal 1/2 binary64) (/.f64 y x) x)
(fma.f64 (*.f64 y #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) x) x)
(fma.f64 x #s(literal 1 binary64) (*.f64 y (/.f64 #s(literal 1/2 binary64) x)))
(fma.f64 (*.f64 y (/.f64 #s(literal 1/2 binary64) x)) #s(literal 1 binary64) x)
(fma.f64 #s(literal 1 binary64) x (*.f64 y (/.f64 #s(literal 1/2 binary64) x)))
(fma.f64 #s(literal 1 binary64) (*.f64 y (/.f64 #s(literal 1/2 binary64) x)) x)
(fma.f64 (cbrt.f64 (*.f64 y (/.f64 #s(literal 1/2 binary64) x))) (pow.f64 (cbrt.f64 (*.f64 y (/.f64 #s(literal 1/2 binary64) x))) #s(literal 2 binary64)) x)
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 y (/.f64 #s(literal 1/2 binary64) x))) #s(literal 2 binary64)) (cbrt.f64 (*.f64 y (/.f64 #s(literal 1/2 binary64) x))) x)
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 y #s(literal 1/2 binary64))) #s(literal 2 binary64)) (/.f64 (cbrt.f64 (*.f64 y #s(literal 1/2 binary64))) x) x)
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 y #s(literal 1/2 binary64))) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (*.f64 y #s(literal 1/2 binary64))) (/.f64 #s(literal 1 binary64) x)) x)
(fma.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (*.f64 y (/.f64 #s(literal 1/2 binary64) x)))
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (cbrt.f64 x) (*.f64 y (/.f64 #s(literal 1/2 binary64) x)))
(fma.f64 (sqrt.f64 (*.f64 y (/.f64 #s(literal 1/2 binary64) x))) (sqrt.f64 (*.f64 y (/.f64 #s(literal 1/2 binary64) x))) x)
(fma.f64 (sqrt.f64 (*.f64 y #s(literal 1/2 binary64))) (/.f64 (sqrt.f64 (*.f64 y #s(literal 1/2 binary64))) x) x)
(fma.f64 (sqrt.f64 (*.f64 y #s(literal 1/2 binary64))) (*.f64 (sqrt.f64 (*.f64 y #s(literal 1/2 binary64))) (/.f64 #s(literal 1 binary64) x)) x)
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 y (/.f64 #s(literal 1/2 binary64) x)))
(fma.f64 (*.f64 y #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) (neg.f64 x)) x)
(fma.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 y #s(literal 1/2 binary64)) x)
(fma.f64 (/.f64 y x) #s(literal 1/2 binary64) x)
(fma.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (/.f64 (*.f64 y #s(literal 1/2 binary64)) (cbrt.f64 x)) x)
(fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 (*.f64 y #s(literal 1/2 binary64)) (sqrt.f64 x)) x)
(fma.f64 (/.f64 y (sqrt.f64 x)) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) x)
(fma.f64 (/.f64 y #s(literal 1 binary64)) (/.f64 #s(literal 1/2 binary64) x) x)
(fma.f64 (/.f64 y (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (/.f64 #s(literal 1/2 binary64) (cbrt.f64 x)) x)
(fma.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) (/.f64 y (sqrt.f64 x)) x)
(fma.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (/.f64 y (cbrt.f64 x)) x)
(fma.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 y #s(literal 1/2 binary64))) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (cbrt.f64 (*.f64 y #s(literal 1/2 binary64))) x) x)
(fma.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 y #s(literal 1/2 binary64))) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 (*.f64 y (/.f64 #s(literal 1/2 binary64) x))) x)
(fma.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 y #s(literal 1/2 binary64))) #s(literal 2 binary64)) (sqrt.f64 x)) (/.f64 (cbrt.f64 (*.f64 y #s(literal 1/2 binary64))) (sqrt.f64 x)) x)
(fma.f64 (/.f64 (sqrt.f64 (*.f64 y #s(literal 1/2 binary64))) #s(literal 1 binary64)) (/.f64 (sqrt.f64 (*.f64 y #s(literal 1/2 binary64))) x) x)
(fma.f64 (/.f64 (sqrt.f64 (*.f64 y #s(literal 1/2 binary64))) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (/.f64 (sqrt.f64 (*.f64 y #s(literal 1/2 binary64))) (cbrt.f64 x)) x)
Outputs
(*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 y) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))
(neg.f64 (*.f64 (sqrt.f64 y) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))
(sqrt.f64 y)
(*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 y) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))
(neg.f64 (*.f64 (sqrt.f64 y) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))
(sqrt.f64 y)
(*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 y) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))
(neg.f64 (*.f64 (sqrt.f64 y) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))
(sqrt.f64 y)
(*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 y) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))
(neg.f64 (*.f64 (sqrt.f64 y) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))
(sqrt.f64 y)
(*.f64 #s(literal 1/2 binary64) (/.f64 y x))
(*.f64 y (/.f64 #s(literal 1/2 binary64) x))
(/.f64 #s(literal 1/2 binary64) (/.f64 x y))
(*.f64 #s(literal 1/2 binary64) (/.f64 y x))
(*.f64 y (/.f64 #s(literal 1/2 binary64) x))
(/.f64 #s(literal 1/2 binary64) (/.f64 x y))
(*.f64 #s(literal 1/2 binary64) (/.f64 y x))
(*.f64 y (/.f64 #s(literal 1/2 binary64) x))
(/.f64 #s(literal 1/2 binary64) (/.f64 x y))
(*.f64 #s(literal 1/2 binary64) (/.f64 y x))
(*.f64 y (/.f64 #s(literal 1/2 binary64) x))
(/.f64 #s(literal 1/2 binary64) (/.f64 x y))
(*.f64 #s(literal 1/2 binary64) (/.f64 y x))
(*.f64 y (/.f64 #s(literal 1/2 binary64) x))
(/.f64 #s(literal 1/2 binary64) (/.f64 x y))
(*.f64 #s(literal 1/2 binary64) (/.f64 y x))
(*.f64 y (/.f64 #s(literal 1/2 binary64) x))
(/.f64 #s(literal 1/2 binary64) (/.f64 x y))
(*.f64 #s(literal 1/2 binary64) (/.f64 y x))
(*.f64 y (/.f64 #s(literal 1/2 binary64) x))
(/.f64 #s(literal 1/2 binary64) (/.f64 x y))
(*.f64 #s(literal 1/2 binary64) (/.f64 y x))
(*.f64 y (/.f64 #s(literal 1/2 binary64) x))
(/.f64 #s(literal 1/2 binary64) (/.f64 x y))
(*.f64 #s(literal 1/2 binary64) (/.f64 y x))
(*.f64 y (/.f64 #s(literal 1/2 binary64) x))
(/.f64 #s(literal 1/2 binary64) (/.f64 x y))
(*.f64 #s(literal 1/2 binary64) (/.f64 y x))
(*.f64 y (/.f64 #s(literal 1/2 binary64) x))
(/.f64 #s(literal 1/2 binary64) (/.f64 x y))
(*.f64 #s(literal 1/2 binary64) (/.f64 y x))
(*.f64 y (/.f64 #s(literal 1/2 binary64) x))
(/.f64 #s(literal 1/2 binary64) (/.f64 x y))
(*.f64 #s(literal 1/2 binary64) (/.f64 y x))
(*.f64 y (/.f64 #s(literal 1/2 binary64) x))
(/.f64 #s(literal 1/2 binary64) (/.f64 x y))
(*.f64 #s(literal 1/2 binary64) (/.f64 y x))
(*.f64 y (/.f64 #s(literal 1/2 binary64) x))
(/.f64 #s(literal 1/2 binary64) (/.f64 x y))
(*.f64 #s(literal 1/2 binary64) (/.f64 y x))
(*.f64 y (/.f64 #s(literal 1/2 binary64) x))
(/.f64 #s(literal 1/2 binary64) (/.f64 x y))
(*.f64 #s(literal 1/2 binary64) (/.f64 y x))
(*.f64 y (/.f64 #s(literal 1/2 binary64) x))
(/.f64 #s(literal 1/2 binary64) (/.f64 x y))
(*.f64 #s(literal 1/2 binary64) (/.f64 y x))
(*.f64 y (/.f64 #s(literal 1/2 binary64) x))
(/.f64 #s(literal 1/2 binary64) (/.f64 x y))
(*.f64 #s(literal 1/2 binary64) (/.f64 y x))
(*.f64 y (/.f64 #s(literal 1/2 binary64) x))
(/.f64 #s(literal 1/2 binary64) (/.f64 x y))
(*.f64 #s(literal 1/2 binary64) (/.f64 y x))
(*.f64 y (/.f64 #s(literal 1/2 binary64) x))
(/.f64 #s(literal 1/2 binary64) (/.f64 x y))
(*.f64 #s(literal 1/2 binary64) (/.f64 y x))
(*.f64 y (/.f64 #s(literal 1/2 binary64) x))
(/.f64 #s(literal 1/2 binary64) (/.f64 x y))
(*.f64 #s(literal 1/2 binary64) (/.f64 y x))
(*.f64 y (/.f64 #s(literal 1/2 binary64) x))
(/.f64 #s(literal 1/2 binary64) (/.f64 x y))
(*.f64 #s(literal 1/2 binary64) (/.f64 y x))
(*.f64 y (/.f64 #s(literal 1/2 binary64) x))
(/.f64 #s(literal 1/2 binary64) (/.f64 x y))
(*.f64 #s(literal 1/2 binary64) (/.f64 y x))
(*.f64 y (/.f64 #s(literal 1/2 binary64) x))
(/.f64 #s(literal 1/2 binary64) (/.f64 x y))
(*.f64 #s(literal 1/2 binary64) (/.f64 y x))
(*.f64 y (/.f64 #s(literal 1/2 binary64) x))
(/.f64 #s(literal 1/2 binary64) (/.f64 x y))
(*.f64 #s(literal 1/2 binary64) (/.f64 y x))
(*.f64 y (/.f64 #s(literal 1/2 binary64) x))
(/.f64 #s(literal 1/2 binary64) (/.f64 x y))
(*.f64 #s(literal 1/2 binary64) (/.f64 y x))
(*.f64 y (/.f64 #s(literal 1/2 binary64) x))
(/.f64 #s(literal 1/2 binary64) (/.f64 x y))
(/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) y) (pow.f64 x #s(literal 2 binary64))) x)
(/.f64 (fma.f64 #s(literal 1/2 binary64) y (pow.f64 x #s(literal 2 binary64))) x)
(/.f64 (fma.f64 y #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64))) x)
(/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) y) (pow.f64 x #s(literal 2 binary64))) x)
(/.f64 (fma.f64 #s(literal 1/2 binary64) y (pow.f64 x #s(literal 2 binary64))) x)
(/.f64 (fma.f64 y #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64))) x)
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(fma.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 y #s(literal 1/2 binary64))) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (cbrt.f64 (*.f64 y #s(literal 1/2 binary64))) x) x)
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 y (pow.f64 x #s(literal 2 binary64))))))
(*.f64 x (fma.f64 #s(literal 1/2 binary64) (/.f64 y (pow.f64 x #s(literal 2 binary64))) #s(literal 1 binary64)))
(fma.f64 #s(literal 1/2 binary64) (/.f64 y x) x)
(fma.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 y #s(literal 1/2 binary64))) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 (*.f64 y (/.f64 #s(literal 1/2 binary64) x))) x)
(fma.f64 (cbrt.f64 (*.f64 y (/.f64 #s(literal 1/2 binary64) x))) (/.f64 (pow.f64 (cbrt.f64 (*.f64 y #s(literal 1/2 binary64))) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) x)
(fma.f64 (cbrt.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 x y))) (/.f64 (pow.f64 (cbrt.f64 (*.f64 y #s(literal 1/2 binary64))) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) x)
(fma.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 y #s(literal 1/2 binary64))) #s(literal 2 binary64)) (sqrt.f64 x)) (/.f64 (cbrt.f64 (*.f64 y #s(literal 1/2 binary64))) (sqrt.f64 x)) x)
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 y (pow.f64 x #s(literal 2 binary64))))))
(*.f64 x (fma.f64 #s(literal 1/2 binary64) (/.f64 y (pow.f64 x #s(literal 2 binary64))) #s(literal 1 binary64)))
(fma.f64 #s(literal 1/2 binary64) (/.f64 y x) x)
(fma.f64 (/.f64 (sqrt.f64 (*.f64 y #s(literal 1/2 binary64))) #s(literal 1 binary64)) (/.f64 (sqrt.f64 (*.f64 y #s(literal 1/2 binary64))) x) x)
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 y (pow.f64 x #s(literal 2 binary64))))))
(*.f64 x (fma.f64 #s(literal 1/2 binary64) (/.f64 y (pow.f64 x #s(literal 2 binary64))) #s(literal 1 binary64)))
(fma.f64 #s(literal 1/2 binary64) (/.f64 y x) x)
(fma.f64 (/.f64 (sqrt.f64 (*.f64 y #s(literal 1/2 binary64))) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (/.f64 (sqrt.f64 (*.f64 y #s(literal 1/2 binary64))) (cbrt.f64 x)) x)
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 y (pow.f64 x #s(literal 2 binary64))))))
(*.f64 x (fma.f64 #s(literal 1/2 binary64) (/.f64 y (pow.f64 x #s(literal 2 binary64))) #s(literal 1 binary64)))
(fma.f64 #s(literal 1/2 binary64) (/.f64 y x) x)

eval26.0ms (0.6%)

Compiler

Compiled 2261 to 502 computations (77.8% saved)

prune26.0ms (0.6%)

Pruning

5 alts after pruning (2 fresh and 3 done)

PrunedKeptTotal
New1922194
Fresh000
Picked033
Done000
Total1925197
Accuracy
100.0%
Counts
197 → 5
Alt Table
Click to see full alt table
StatusAccuracyProgram
68.5%
(+.f64 x (/.f64 (*.f64 #s(literal 1/2 binary64) y) x))
68.5%
(+.f64 x (/.f64 #s(literal 1/2 binary64) (/.f64 x y)))
68.5%
(+.f64 x (*.f64 y (/.f64 #s(literal 1/2 binary64) x)))
34.8%
(sqrt.f64 y)
68.2%
x
Compiler

Compiled 34 to 23 computations (32.4% saved)

simplify9.0ms (0.2%)

Algorithm
egg-herbie
Localize:

Found 6 expressions of interest:

NewMetricScoreProgram
cost-diff-6272
(+.f64 x (/.f64 #s(literal 1/2 binary64) (/.f64 x y)))
cost-diff0
(/.f64 x y)
cost-diff0
(/.f64 #s(literal 1/2 binary64) (/.f64 x y))
cost-diff-6272
(+.f64 x (*.f64 y (/.f64 #s(literal 1/2 binary64) x)))
cost-diff0
(/.f64 #s(literal 1/2 binary64) x)
cost-diff0
(*.f64 y (/.f64 #s(literal 1/2 binary64) x))
Rules
fma-define
*-commutative
+-commutative
associate-/l*
associate-*l/
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
014135
119127
224127
326127
428127
529127
Stop Event
saturated
Calls
Call 1
Inputs
(+.f64 x (*.f64 y (/.f64 #s(literal 1/2 binary64) x)))
x
(*.f64 y (/.f64 #s(literal 1/2 binary64) x))
y
(/.f64 #s(literal 1/2 binary64) x)
#s(literal 1/2 binary64)
(+.f64 x (/.f64 #s(literal 1/2 binary64) (/.f64 x y)))
x
(/.f64 #s(literal 1/2 binary64) (/.f64 x y))
#s(literal 1/2 binary64)
(/.f64 x y)
y
Outputs
(+.f64 x (*.f64 y (/.f64 #s(literal 1/2 binary64) x)))
(+.f64 x (/.f64 (*.f64 y #s(literal 1/2 binary64)) x))
(fma.f64 y (/.f64 #s(literal 1/2 binary64) x) x)
x
(*.f64 y (/.f64 #s(literal 1/2 binary64) x))
(/.f64 (*.f64 y #s(literal 1/2 binary64)) x)
y
(/.f64 #s(literal 1/2 binary64) x)
#s(literal 1/2 binary64)
(+.f64 x (/.f64 #s(literal 1/2 binary64) (/.f64 x y)))
(+.f64 x (/.f64 (*.f64 y #s(literal 1/2 binary64)) x))
(fma.f64 y (/.f64 #s(literal 1/2 binary64) x) x)
x
(/.f64 #s(literal 1/2 binary64) (/.f64 x y))
(/.f64 (*.f64 y #s(literal 1/2 binary64)) x)
#s(literal 1/2 binary64)
(/.f64 x y)
y

localize113.0ms (2.6%)

Localize:

Found 6 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(/.f64 x y)
accuracy100.0%
(+.f64 x (/.f64 #s(literal 1/2 binary64) (/.f64 x y)))
accuracy98.5%
(/.f64 #s(literal 1/2 binary64) (/.f64 x y))
accuracy100.0%
(/.f64 #s(literal 1/2 binary64) x)
accuracy100.0%
(+.f64 x (*.f64 y (/.f64 #s(literal 1/2 binary64) x)))
accuracy99.6%
(*.f64 y (/.f64 #s(literal 1/2 binary64) x))
Results
102.0ms256×0valid
Compiler

Compiled 38 to 11 computations (71.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 13.0ms
ival-div: 7.0ms (55.9% of total)
ival-add: 3.0ms (23.9% of total)
ival-mult: 2.0ms (16% of total)
ival-true: 0.0ms (0% of total)
...in/eval/compile.rkt:70:19: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series9.0ms (0.2%)

Counts
6 → 96
Calls
Call 1
Inputs
#<alt (*.f64 y (/.f64 #s(literal 1/2 binary64) x))>
#<alt (/.f64 #s(literal 1/2 binary64) x)>
#<alt (+.f64 x (*.f64 y (/.f64 #s(literal 1/2 binary64) x)))>
#<alt (/.f64 #s(literal 1/2 binary64) (/.f64 x y))>
#<alt (/.f64 x y)>
#<alt (+.f64 x (/.f64 #s(literal 1/2 binary64) (/.f64 x y)))>
Outputs
#<alt (*.f64 #s(literal 1/2 binary64) (/.f64 y x))>
#<alt (*.f64 #s(literal 1/2 binary64) (/.f64 y x))>
#<alt (*.f64 #s(literal 1/2 binary64) (/.f64 y x))>
#<alt (*.f64 #s(literal 1/2 binary64) (/.f64 y x))>
#<alt (*.f64 #s(literal 1/2 binary64) (/.f64 y x))>
#<alt (*.f64 #s(literal 1/2 binary64) (/.f64 y x))>
#<alt (*.f64 #s(literal 1/2 binary64) (/.f64 y x))>
#<alt (*.f64 #s(literal 1/2 binary64) (/.f64 y x))>
#<alt (*.f64 #s(literal 1/2 binary64) (/.f64 y x))>
#<alt (*.f64 #s(literal 1/2 binary64) (/.f64 y x))>
#<alt (*.f64 #s(literal 1/2 binary64) (/.f64 y x))>
#<alt (*.f64 #s(literal 1/2 binary64) (/.f64 y x))>
#<alt (*.f64 #s(literal 1/2 binary64) (/.f64 y x))>
#<alt (*.f64 #s(literal 1/2 binary64) (/.f64 y x))>
#<alt (*.f64 #s(literal 1/2 binary64) (/.f64 y x))>
#<alt (*.f64 #s(literal 1/2 binary64) (/.f64 y x))>
#<alt (*.f64 #s(literal 1/2 binary64) (/.f64 y x))>
#<alt (*.f64 #s(literal 1/2 binary64) (/.f64 y x))>
#<alt (*.f64 #s(literal 1/2 binary64) (/.f64 y x))>
#<alt (*.f64 #s(literal 1/2 binary64) (/.f64 y x))>
#<alt (*.f64 #s(literal 1/2 binary64) (/.f64 y x))>
#<alt (*.f64 #s(literal 1/2 binary64) (/.f64 y x))>
#<alt (*.f64 #s(literal 1/2 binary64) (/.f64 y x))>
#<alt (*.f64 #s(literal 1/2 binary64) (/.f64 y x))>
#<alt (*.f64 #s(literal 1/2 binary64) (/.f64 y x))>
#<alt (/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) y) (pow.f64 x #s(literal 2 binary64))) x)>
#<alt (/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) y) (pow.f64 x #s(literal 2 binary64))) x)>
#<alt (/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) y) (pow.f64 x #s(literal 2 binary64))) x)>
#<alt x>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 y (pow.f64 x #s(literal 2 binary64))))))>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 y (pow.f64 x #s(literal 2 binary64))))))>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 y (pow.f64 x #s(literal 2 binary64))))))>
#<alt x>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 y (pow.f64 x #s(literal 2 binary64)))) #s(literal 1 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 y (pow.f64 x #s(literal 2 binary64)))) #s(literal 1 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 y (pow.f64 x #s(literal 2 binary64)))) #s(literal 1 binary64))))>
#<alt x>
#<alt (+.f64 x (*.f64 #s(literal 1/2 binary64) (/.f64 y x)))>
#<alt (+.f64 x (*.f64 #s(literal 1/2 binary64) (/.f64 y x)))>
#<alt (+.f64 x (*.f64 #s(literal 1/2 binary64) (/.f64 y x)))>
#<alt (*.f64 #s(literal 1/2 binary64) (/.f64 y x))>
#<alt (*.f64 y (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) (/.f64 x y)))>
#<alt (*.f64 y (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) (/.f64 x y)))>
#<alt (*.f64 y (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) (/.f64 x y)))>
#<alt (*.f64 #s(literal 1/2 binary64) (/.f64 y x))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x y)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x y)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x y)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))))>
#<alt (*.f64 #s(literal 1/2 binary64) (/.f64 y x))>
#<alt (*.f64 #s(literal 1/2 binary64) (/.f64 y x))>
#<alt (*.f64 #s(literal 1/2 binary64) (/.f64 y x))>
#<alt (*.f64 #s(literal 1/2 binary64) (/.f64 y x))>
#<alt (*.f64 #s(literal 1/2 binary64) (/.f64 y x))>
#<alt (*.f64 #s(literal 1/2 binary64) (/.f64 y x))>
#<alt (*.f64 #s(literal 1/2 binary64) (/.f64 y x))>
#<alt (*.f64 #s(literal 1/2 binary64) (/.f64 y x))>
#<alt (*.f64 #s(literal 1/2 binary64) (/.f64 y x))>
#<alt (*.f64 #s(literal 1/2 binary64) (/.f64 y x))>
#<alt (*.f64 #s(literal 1/2 binary64) (/.f64 y x))>
#<alt (*.f64 #s(literal 1/2 binary64) (/.f64 y x))>
#<alt (*.f64 #s(literal 1/2 binary64) (/.f64 y x))>
#<alt (*.f64 #s(literal 1/2 binary64) (/.f64 y x))>
#<alt (*.f64 #s(literal 1/2 binary64) (/.f64 y x))>
#<alt (*.f64 #s(literal 1/2 binary64) (/.f64 y x))>
#<alt (*.f64 #s(literal 1/2 binary64) (/.f64 y x))>
#<alt (*.f64 #s(literal 1/2 binary64) (/.f64 y x))>
#<alt (*.f64 #s(literal 1/2 binary64) (/.f64 y x))>
#<alt (*.f64 #s(literal 1/2 binary64) (/.f64 y x))>
#<alt (*.f64 #s(literal 1/2 binary64) (/.f64 y x))>
#<alt (*.f64 #s(literal 1/2 binary64) (/.f64 y x))>
#<alt (*.f64 #s(literal 1/2 binary64) (/.f64 y x))>
#<alt (*.f64 #s(literal 1/2 binary64) (/.f64 y x))>
#<alt (*.f64 #s(literal 1/2 binary64) (/.f64 y x))>
#<alt (/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) y) (pow.f64 x #s(literal 2 binary64))) x)>
#<alt (/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) y) (pow.f64 x #s(literal 2 binary64))) x)>
#<alt (/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) y) (pow.f64 x #s(literal 2 binary64))) x)>
#<alt x>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 y (pow.f64 x #s(literal 2 binary64))))))>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 y (pow.f64 x #s(literal 2 binary64))))))>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 y (pow.f64 x #s(literal 2 binary64))))))>
#<alt x>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 y (pow.f64 x #s(literal 2 binary64)))) #s(literal 1 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 y (pow.f64 x #s(literal 2 binary64)))) #s(literal 1 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 y (pow.f64 x #s(literal 2 binary64)))) #s(literal 1 binary64))))>
#<alt x>
#<alt (+.f64 x (*.f64 #s(literal 1/2 binary64) (/.f64 y x)))>
#<alt (+.f64 x (*.f64 #s(literal 1/2 binary64) (/.f64 y x)))>
#<alt (+.f64 x (*.f64 #s(literal 1/2 binary64) (/.f64 y x)))>
#<alt (*.f64 #s(literal 1/2 binary64) (/.f64 y x))>
#<alt (*.f64 y (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) (/.f64 x y)))>
#<alt (*.f64 y (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) (/.f64 x y)))>
#<alt (*.f64 y (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) (/.f64 x y)))>
#<alt (*.f64 #s(literal 1/2 binary64) (/.f64 y x))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x y)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x y)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x y)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))))>
Calls

33 calls:

TimeVariablePointExpression
3.0ms
y
@inf
(+ x (* y (/ 1/2 x)))
0.0ms
x
@-inf
(/ x y)
0.0ms
x
@0
(/ x y)
0.0ms
y
@-inf
(/ x y)
0.0ms
y
@0
(/ x y)

rewrite162.0ms (3.7%)

Algorithm
batch-egg-rewrite
Rules
883×log1p-expm1-u
883×expm1-log1p-u
440×log-prod
246×fma-define
191×log-div
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
014117
1212109
22497109
Stop Event
node limit
Counts
6 → 306
Calls
Call 1
Inputs
(*.f64 y (/.f64 #s(literal 1/2 binary64) x))
(/.f64 #s(literal 1/2 binary64) x)
(+.f64 x (*.f64 y (/.f64 #s(literal 1/2 binary64) x)))
(/.f64 #s(literal 1/2 binary64) (/.f64 x y))
(/.f64 x y)
(+.f64 x (/.f64 #s(literal 1/2 binary64) (/.f64 x y)))
Outputs
(+.f64 #s(literal 0 binary64) (*.f64 y (/.f64 #s(literal 1/2 binary64) x)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (/.f64 y x))) (cbrt.f64 (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (/.f64 y x))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (/.f64 y x)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (/.f64 y x)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (/.f64 y x)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 y (/.f64 #s(literal 1/2 binary64) x)))) #s(literal 1 binary64))
(/.f64 y (*.f64 x #s(literal 2 binary64)))
(/.f64 #s(literal 1/2 binary64) (/.f64 x y))
(/.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1 binary64) y))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 x y) #s(literal 2 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1 binary64)))
(/.f64 #s(literal -1/2 binary64) (/.f64 (neg.f64 x) y))
(/.f64 (*.f64 y #s(literal 1/2 binary64)) x)
(/.f64 #s(literal -1 binary64) (neg.f64 (*.f64 (/.f64 x y) #s(literal 2 binary64))))
(/.f64 (neg.f64 (*.f64 y #s(literal 1/2 binary64))) (neg.f64 x))
(/.f64 (*.f64 y #s(literal -1/2 binary64)) (neg.f64 x))
(/.f64 (*.f64 #s(literal -1/2 binary64) y) (neg.f64 x))
(/.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 (cbrt.f64 (/.f64 x y)) #s(literal 2 binary64))) (cbrt.f64 (/.f64 x y)))
(/.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 x y))) (sqrt.f64 (/.f64 x y)))
(/.f64 (/.f64 (*.f64 y #s(literal 1/2 binary64)) #s(literal 1 binary64)) x)
(/.f64 (/.f64 (*.f64 y #s(literal 1/2 binary64)) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 x))
(/.f64 (/.f64 (*.f64 y #s(literal 1/2 binary64)) (sqrt.f64 x)) (sqrt.f64 x))
(pow.f64 (*.f64 y (/.f64 #s(literal 1/2 binary64) x)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 y (/.f64 #s(literal 1/2 binary64) x))) #s(literal 3 binary64))
(pow.f64 (*.f64 #s(literal 1/8 binary64) (pow.f64 (/.f64 y x) #s(literal 3 binary64))) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 y (/.f64 #s(literal 1/2 binary64) x))) #s(literal 2 binary64))
(pow.f64 (*.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 (*.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))
(neg.f64 (/.f64 #s(literal -1/2 binary64) (/.f64 x y)))
(sqrt.f64 (pow.f64 (*.f64 y (/.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (/.f64 y x)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 y (/.f64 #s(literal 1/2 binary64) x)))))
(cbrt.f64 (*.f64 #s(literal 1/8 binary64) (pow.f64 (/.f64 y x) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 y (/.f64 #s(literal 1/2 binary64) x))))
(log1p.f64 (expm1.f64 (*.f64 y (/.f64 #s(literal 1/2 binary64) x))))
(exp.f64 (log.f64 (*.f64 y (/.f64 #s(literal 1/2 binary64) x))))
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(exp.f64 (*.f64 (*.f64 #s(literal 3 binary64) (log.f64 (*.f64 y (/.f64 #s(literal 1/2 binary64) x)))) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 y (/.f64 #s(literal 1/2 binary64) x)))) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 x y) #s(literal 2 binary64))) #s(literal -1 binary64)))
(+.f64 #s(literal 0 binary64) (/.f64 x y))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (/.f64 x y))) (cbrt.f64 (exp.f64 (/.f64 x y))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 x y)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 x y)))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 x y)))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 x y))) #s(literal 1 binary64))
(*.f64 x (/.f64 #s(literal 1 binary64) y))
(*.f64 (/.f64 x y) #s(literal 1 binary64))
(*.f64 (/.f64 x y) (log.f64 (exp.f64 #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 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (/.f64 (cbrt.f64 x) y))
(*.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (*.f64 (cbrt.f64 x) (/.f64 #s(literal 1 binary64) y)))
(*.f64 (sqrt.f64 (/.f64 x y)) (sqrt.f64 (/.f64 x y)))
(*.f64 (sqrt.f64 x) (/.f64 (sqrt.f64 x) y))
(*.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (/.f64 #s(literal 1 binary64) y)))
(*.f64 (neg.f64 x) (/.f64 #s(literal 1 binary64) (neg.f64 y)))
(*.f64 (/.f64 #s(literal 1 binary64) y) x)
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (/.f64 x (cbrt.f64 y)))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 y)) (/.f64 x (sqrt.f64 y)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (cbrt.f64 x) y))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (cbrt.f64 (/.f64 x y)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (sqrt.f64 y)) (/.f64 (cbrt.f64 x) (sqrt.f64 y)))
(*.f64 (/.f64 (sqrt.f64 x) #s(literal 1 binary64)) (/.f64 (sqrt.f64 x) y))
(*.f64 (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (/.f64 (sqrt.f64 x) (cbrt.f64 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))
(pow.f64 (/.f64 y x) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 y x) #s(literal 1 binary64)) #s(literal -1 binary64))
(neg.f64 (/.f64 (neg.f64 x) y))
(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))))
(log.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (exp.f64 (/.f64 x y)))))
(log.f64 (/.f64 #s(literal 1 binary64) (exp.f64 (/.f64 (neg.f64 x) y))))
(cbrt.f64 (pow.f64 (/.f64 x y) #s(literal 3 binary64)))
(cbrt.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 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)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (/.f64 x y))) #s(literal 3 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 3 binary64) (log.f64 (/.f64 x y))) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 x y))) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (/.f64 y x)) #s(literal -1 binary64)))
(-.f64 x (/.f64 #s(literal -1/2 binary64) (/.f64 x y)))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 y (/.f64 #s(literal 1/2 binary64) x) x))) #s(literal 1 binary64))
(-.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 x (*.f64 y (/.f64 #s(literal 1/2 binary64) x)))) (/.f64 (pow.f64 (*.f64 y (/.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)) (-.f64 x (*.f64 y (/.f64 #s(literal 1/2 binary64) x)))))
(*.f64 (fma.f64 y (/.f64 #s(literal 1/2 binary64) x) x) #s(literal 1 binary64))
(*.f64 (fma.f64 y (/.f64 #s(literal 1/2 binary64) x) x) (log.f64 (exp.f64 #s(literal 1 binary64))))
(*.f64 #s(literal 1 binary64) (fma.f64 y (/.f64 #s(literal 1/2 binary64) x) x))
(*.f64 (cbrt.f64 (fma.f64 y (/.f64 #s(literal 1/2 binary64) x) x)) (pow.f64 (cbrt.f64 (fma.f64 y (/.f64 #s(literal 1/2 binary64) x) x)) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 y (/.f64 #s(literal 1/2 binary64) x) x)) #s(literal 2 binary64)) (cbrt.f64 (fma.f64 y (/.f64 #s(literal 1/2 binary64) x) x)))
(*.f64 (sqrt.f64 (fma.f64 y (/.f64 #s(literal 1/2 binary64) x) x)) (sqrt.f64 (fma.f64 y (/.f64 #s(literal 1/2 binary64) x) x)))
(*.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 (/.f64 y x) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y (/.f64 #s(literal 1/2 binary64) x)) (fma.f64 #s(literal 1/2 binary64) (/.f64 y x) (neg.f64 x)) (pow.f64 x #s(literal 2 binary64)))))
(*.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (*.f64 y (/.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 x (*.f64 y (/.f64 #s(literal 1/2 binary64) x)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 y (/.f64 #s(literal 1/2 binary64) x)) (fma.f64 #s(literal 1/2 binary64) (/.f64 y x) (neg.f64 x)) (pow.f64 x #s(literal 2 binary64))) (fma.f64 #s(literal 1/8 binary64) (pow.f64 (/.f64 y x) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x (*.f64 y (/.f64 #s(literal 1/2 binary64) x))) (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (*.f64 y (/.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)))))
(/.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 (/.f64 y x) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (*.f64 y (/.f64 #s(literal 1/2 binary64) x)) (fma.f64 #s(literal 1/2 binary64) (/.f64 y x) (neg.f64 x)) (pow.f64 x #s(literal 2 binary64))))
(/.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 (/.f64 y x) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 y (/.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)) (-.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 x (*.f64 y (/.f64 #s(literal 1/2 binary64) x))))))
(/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (*.f64 y (/.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64))) (-.f64 x (*.f64 y (/.f64 #s(literal 1/2 binary64) x))))
(/.f64 (neg.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 (/.f64 y x) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (fma.f64 (*.f64 y (/.f64 #s(literal 1/2 binary64) x)) (fma.f64 #s(literal 1/2 binary64) (/.f64 y x) (neg.f64 x)) (pow.f64 x #s(literal 2 binary64)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (*.f64 y (/.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)))) (neg.f64 (-.f64 x (*.f64 y (/.f64 #s(literal 1/2 binary64) x)))))
(/.f64 (-.f64 (pow.f64 (*.f64 y (/.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) (fma.f64 #s(literal 1/2 binary64) (/.f64 y x) (neg.f64 x)))
(pow.f64 (fma.f64 y (/.f64 #s(literal 1/2 binary64) x) x) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (fma.f64 y (/.f64 #s(literal 1/2 binary64) x) x)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (fma.f64 y (/.f64 #s(literal 1/2 binary64) x) x) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (fma.f64 y (/.f64 #s(literal 1/2 binary64) x) x)) #s(literal 2 binary64))
(pow.f64 (/.f64 (fma.f64 (*.f64 y (/.f64 #s(literal 1/2 binary64) x)) (fma.f64 #s(literal 1/2 binary64) (/.f64 y x) (neg.f64 x)) (pow.f64 x #s(literal 2 binary64))) (fma.f64 #s(literal 1/8 binary64) (pow.f64 (/.f64 y x) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (-.f64 x (*.f64 y (/.f64 #s(literal 1/2 binary64) x))) (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (*.f64 y (/.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)))) #s(literal -1 binary64))
(sqrt.f64 (pow.f64 (fma.f64 y (/.f64 #s(literal 1/2 binary64) x) x) #s(literal 2 binary64)))
(log.f64 (exp.f64 (fma.f64 y (/.f64 #s(literal 1/2 binary64) x) x)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 y (/.f64 #s(literal 1/2 binary64) x) x))))
(log.f64 (*.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 y (/.f64 #s(literal 1/2 binary64) x))))))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 x)) (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (/.f64 y x))))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 x)) (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 y (/.f64 #s(literal 1/2 binary64) x))))))
(log.f64 (*.f64 (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (/.f64 y x)) (+.f64 #s(literal 1 binary64) (expm1.f64 x))))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 y (/.f64 #s(literal 1/2 binary64) x)))) (exp.f64 x)))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 y (/.f64 #s(literal 1/2 binary64) x)))) (+.f64 #s(literal 1 binary64) (expm1.f64 x))))
(cbrt.f64 (pow.f64 (fma.f64 y (/.f64 #s(literal 1/2 binary64) x) x) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (fma.f64 y (/.f64 #s(literal 1/2 binary64) x) x)))
(log1p.f64 (expm1.f64 (fma.f64 y (/.f64 #s(literal 1/2 binary64) x) x)))
(exp.f64 (log.f64 (fma.f64 y (/.f64 #s(literal 1/2 binary64) x) x)))
(exp.f64 (*.f64 (log.f64 (fma.f64 y (/.f64 #s(literal 1/2 binary64) x) x)) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (fma.f64 y (/.f64 #s(literal 1/2 binary64) x) x))) #s(literal 3 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 3 binary64) (log.f64 (fma.f64 y (/.f64 #s(literal 1/2 binary64) x) x))) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (fma.f64 y (/.f64 #s(literal 1/2 binary64) x) x))) #s(literal 2 binary64)))
(fma.f64 y (/.f64 #s(literal 1/2 binary64) x) x)
(fma.f64 #s(literal 1/2 binary64) (/.f64 y x) x)
(fma.f64 x #s(literal 1 binary64) (*.f64 y (/.f64 #s(literal 1/2 binary64) x)))
(fma.f64 (/.f64 #s(literal 1/2 binary64) x) y x)
(fma.f64 (*.f64 y (/.f64 #s(literal 1/2 binary64) x)) #s(literal 1 binary64) x)
(fma.f64 #s(literal 1 binary64) x (*.f64 y (/.f64 #s(literal 1/2 binary64) x)))
(fma.f64 #s(literal 1 binary64) (*.f64 y (/.f64 #s(literal 1/2 binary64) x)) x)
(fma.f64 (cbrt.f64 (/.f64 #s(literal 1/4 binary64) (pow.f64 x #s(literal 2 binary64)))) (*.f64 (cbrt.f64 (/.f64 #s(literal 1/2 binary64) x)) y) x)
(fma.f64 (cbrt.f64 (*.f64 y (/.f64 #s(literal 1/2 binary64) x))) (pow.f64 (cbrt.f64 (*.f64 y (/.f64 #s(literal 1/2 binary64) x))) #s(literal 2 binary64)) x)
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 y (/.f64 #s(literal 1/2 binary64) x))) #s(literal 2 binary64)) (cbrt.f64 (*.f64 y (/.f64 #s(literal 1/2 binary64) x))) x)
(fma.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (*.f64 y (/.f64 #s(literal 1/2 binary64) x)))
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (cbrt.f64 x) (*.f64 y (/.f64 #s(literal 1/2 binary64) x)))
(fma.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (*.f64 (cbrt.f64 y) (/.f64 #s(literal 1/2 binary64) x)) x)
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1/2 binary64) x)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1/2 binary64) x)) y) x)
(fma.f64 (sqrt.f64 (*.f64 y (/.f64 #s(literal 1/2 binary64) x))) (sqrt.f64 (*.f64 y (/.f64 #s(literal 1/2 binary64) x))) x)
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 y (/.f64 #s(literal 1/2 binary64) x)))
(fma.f64 (sqrt.f64 y) (*.f64 (sqrt.f64 y) (/.f64 #s(literal 1/2 binary64) x)) x)
(fma.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 x) y)) x)
(fma.f64 (/.f64 y x) #s(literal 1/2 binary64) x)
(fma.f64 (*.f64 y #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) x) x)
(fma.f64 (/.f64 y (sqrt.f64 x)) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) x)
(fma.f64 (/.f64 y #s(literal 1 binary64)) (/.f64 #s(literal 1/2 binary64) x) x)
(fma.f64 (/.f64 y (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (/.f64 #s(literal 1/2 binary64) (cbrt.f64 x)) x)
(fma.f64 (*.f64 y (cbrt.f64 (/.f64 #s(literal 1/4 binary64) (pow.f64 x #s(literal 2 binary64))))) (cbrt.f64 (/.f64 #s(literal 1/2 binary64) x)) x)
(fma.f64 (*.f64 y (sqrt.f64 (/.f64 #s(literal 1/2 binary64) x))) (sqrt.f64 (/.f64 #s(literal 1/2 binary64) x)) x)
(fma.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) x) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (cbrt.f64 y) x)
(fma.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) x) (sqrt.f64 y)) (sqrt.f64 y) x)
(fma.f64 (/.f64 #s(literal 1/2 binary64) (neg.f64 x)) (neg.f64 y) x)

simplify153.0ms (3.6%)

Algorithm
egg-herbie
Rules
485×fmm-def
424×distribute-lft-in
312×distribute-lft-neg-in
296×exp-prod
291×distribute-rgt-neg-in
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
045010647
192210503
2334210323
Stop Event
node limit
Counts
402 → 250
Calls
Call 1
Inputs
(*.f64 #s(literal 1/2 binary64) (/.f64 y x))
(*.f64 #s(literal 1/2 binary64) (/.f64 y x))
(*.f64 #s(literal 1/2 binary64) (/.f64 y x))
(*.f64 #s(literal 1/2 binary64) (/.f64 y x))
(*.f64 #s(literal 1/2 binary64) (/.f64 y x))
(*.f64 #s(literal 1/2 binary64) (/.f64 y x))
(*.f64 #s(literal 1/2 binary64) (/.f64 y x))
(*.f64 #s(literal 1/2 binary64) (/.f64 y x))
(*.f64 #s(literal 1/2 binary64) (/.f64 y x))
(*.f64 #s(literal 1/2 binary64) (/.f64 y x))
(*.f64 #s(literal 1/2 binary64) (/.f64 y x))
(*.f64 #s(literal 1/2 binary64) (/.f64 y x))
(*.f64 #s(literal 1/2 binary64) (/.f64 y x))
(*.f64 #s(literal 1/2 binary64) (/.f64 y x))
(*.f64 #s(literal 1/2 binary64) (/.f64 y x))
(*.f64 #s(literal 1/2 binary64) (/.f64 y x))
(*.f64 #s(literal 1/2 binary64) (/.f64 y x))
(*.f64 #s(literal 1/2 binary64) (/.f64 y x))
(*.f64 #s(literal 1/2 binary64) (/.f64 y x))
(*.f64 #s(literal 1/2 binary64) (/.f64 y x))
(*.f64 #s(literal 1/2 binary64) (/.f64 y x))
(*.f64 #s(literal 1/2 binary64) (/.f64 y x))
(*.f64 #s(literal 1/2 binary64) (/.f64 y x))
(*.f64 #s(literal 1/2 binary64) (/.f64 y x))
(*.f64 #s(literal 1/2 binary64) (/.f64 y x))
(/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) y) (pow.f64 x #s(literal 2 binary64))) x)
(/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) y) (pow.f64 x #s(literal 2 binary64))) x)
(/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) y) (pow.f64 x #s(literal 2 binary64))) x)
x
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 y (pow.f64 x #s(literal 2 binary64))))))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 y (pow.f64 x #s(literal 2 binary64))))))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 y (pow.f64 x #s(literal 2 binary64))))))
x
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 y (pow.f64 x #s(literal 2 binary64)))) #s(literal 1 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 y (pow.f64 x #s(literal 2 binary64)))) #s(literal 1 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 y (pow.f64 x #s(literal 2 binary64)))) #s(literal 1 binary64))))
x
(+.f64 x (*.f64 #s(literal 1/2 binary64) (/.f64 y x)))
(+.f64 x (*.f64 #s(literal 1/2 binary64) (/.f64 y x)))
(+.f64 x (*.f64 #s(literal 1/2 binary64) (/.f64 y x)))
(*.f64 #s(literal 1/2 binary64) (/.f64 y x))
(*.f64 y (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) (/.f64 x y)))
(*.f64 y (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) (/.f64 x y)))
(*.f64 y (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) (/.f64 x y)))
(*.f64 #s(literal 1/2 binary64) (/.f64 y x))
(*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x y)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))))
(*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x y)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))))
(*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x y)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))))
(*.f64 #s(literal 1/2 binary64) (/.f64 y x))
(*.f64 #s(literal 1/2 binary64) (/.f64 y x))
(*.f64 #s(literal 1/2 binary64) (/.f64 y x))
(*.f64 #s(literal 1/2 binary64) (/.f64 y x))
(*.f64 #s(literal 1/2 binary64) (/.f64 y x))
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(fma.f64 (pow.f64 (cbrt.f64 (*.f64 y (/.f64 #s(literal 1/2 binary64) x))) #s(literal 2 binary64)) (cbrt.f64 (*.f64 y (/.f64 #s(literal 1/2 binary64) x))) x)
(fma.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (*.f64 y (/.f64 #s(literal 1/2 binary64) x)))
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (cbrt.f64 x) (*.f64 y (/.f64 #s(literal 1/2 binary64) x)))
(fma.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (*.f64 (cbrt.f64 y) (/.f64 #s(literal 1/2 binary64) x)) x)
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1/2 binary64) x)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1/2 binary64) x)) y) x)
(fma.f64 (sqrt.f64 (*.f64 y (/.f64 #s(literal 1/2 binary64) x))) (sqrt.f64 (*.f64 y (/.f64 #s(literal 1/2 binary64) x))) x)
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 y (/.f64 #s(literal 1/2 binary64) x)))
(fma.f64 (sqrt.f64 y) (*.f64 (sqrt.f64 y) (/.f64 #s(literal 1/2 binary64) x)) x)
(fma.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 x) y)) x)
(fma.f64 (/.f64 y x) #s(literal 1/2 binary64) x)
(fma.f64 (*.f64 y #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) x) x)
(fma.f64 (/.f64 y (sqrt.f64 x)) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) x)
(fma.f64 (/.f64 y #s(literal 1 binary64)) (/.f64 #s(literal 1/2 binary64) x) x)
(fma.f64 (/.f64 y (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (/.f64 #s(literal 1/2 binary64) (cbrt.f64 x)) x)
(fma.f64 (*.f64 y (cbrt.f64 (/.f64 #s(literal 1/4 binary64) (pow.f64 x #s(literal 2 binary64))))) (cbrt.f64 (/.f64 #s(literal 1/2 binary64) x)) x)
(fma.f64 (*.f64 y (sqrt.f64 (/.f64 #s(literal 1/2 binary64) x))) (sqrt.f64 (/.f64 #s(literal 1/2 binary64) x)) x)
(fma.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) x) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (cbrt.f64 y) x)
(fma.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) x) (sqrt.f64 y)) (sqrt.f64 y) x)
(fma.f64 (/.f64 #s(literal 1/2 binary64) (neg.f64 x)) (neg.f64 y) x)
Outputs
(*.f64 #s(literal 1/2 binary64) (/.f64 y x))
(*.f64 y (/.f64 #s(literal 1/2 binary64) x))
(/.f64 y (*.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal 1/2 binary64) (/.f64 y x))
(*.f64 y (/.f64 #s(literal 1/2 binary64) x))
(/.f64 y (*.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal 1/2 binary64) (/.f64 y x))
(*.f64 y (/.f64 #s(literal 1/2 binary64) x))
(/.f64 y (*.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal 1/2 binary64) (/.f64 y x))
(*.f64 y (/.f64 #s(literal 1/2 binary64) x))
(/.f64 y (*.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal 1/2 binary64) (/.f64 y x))
(*.f64 y (/.f64 #s(literal 1/2 binary64) x))
(/.f64 y (*.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal 1/2 binary64) (/.f64 y x))
(*.f64 y (/.f64 #s(literal 1/2 binary64) x))
(/.f64 y (*.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal 1/2 binary64) (/.f64 y x))
(*.f64 y (/.f64 #s(literal 1/2 binary64) x))
(/.f64 y (*.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal 1/2 binary64) (/.f64 y x))
(*.f64 y (/.f64 #s(literal 1/2 binary64) x))
(/.f64 y (*.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal 1/2 binary64) (/.f64 y x))
(*.f64 y (/.f64 #s(literal 1/2 binary64) x))
(/.f64 y (*.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal 1/2 binary64) (/.f64 y x))
(*.f64 y (/.f64 #s(literal 1/2 binary64) x))
(/.f64 y (*.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal 1/2 binary64) (/.f64 y x))
(*.f64 y (/.f64 #s(literal 1/2 binary64) x))
(/.f64 y (*.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal 1/2 binary64) (/.f64 y x))
(*.f64 y (/.f64 #s(literal 1/2 binary64) x))
(/.f64 y (*.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal 1/2 binary64) (/.f64 y x))
(*.f64 y (/.f64 #s(literal 1/2 binary64) x))
(/.f64 y (*.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal 1/2 binary64) (/.f64 y x))
(*.f64 y (/.f64 #s(literal 1/2 binary64) x))
(/.f64 y (*.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal 1/2 binary64) (/.f64 y x))
(*.f64 y (/.f64 #s(literal 1/2 binary64) x))
(/.f64 y (*.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal 1/2 binary64) (/.f64 y x))
(*.f64 y (/.f64 #s(literal 1/2 binary64) x))
(/.f64 y (*.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal 1/2 binary64) (/.f64 y x))
(*.f64 y (/.f64 #s(literal 1/2 binary64) x))
(/.f64 y (*.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal 1/2 binary64) (/.f64 y x))
(*.f64 y (/.f64 #s(literal 1/2 binary64) x))
(/.f64 y (*.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal 1/2 binary64) (/.f64 y x))
(*.f64 y (/.f64 #s(literal 1/2 binary64) x))
(/.f64 y (*.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal 1/2 binary64) (/.f64 y x))
(*.f64 y (/.f64 #s(literal 1/2 binary64) x))
(/.f64 y (*.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal 1/2 binary64) (/.f64 y x))
(*.f64 y (/.f64 #s(literal 1/2 binary64) x))
(/.f64 y (*.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal 1/2 binary64) (/.f64 y x))
(*.f64 y (/.f64 #s(literal 1/2 binary64) x))
(/.f64 y (*.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal 1/2 binary64) (/.f64 y x))
(*.f64 y (/.f64 #s(literal 1/2 binary64) x))
(/.f64 y (*.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal 1/2 binary64) (/.f64 y x))
(*.f64 y (/.f64 #s(literal 1/2 binary64) x))
(/.f64 y (*.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal 1/2 binary64) (/.f64 y x))
(*.f64 y (/.f64 #s(literal 1/2 binary64) x))
(/.f64 y (*.f64 x #s(literal 2 binary64)))
(/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) y) (pow.f64 x #s(literal 2 binary64))) x)
(/.f64 (fma.f64 #s(literal 1/2 binary64) y (pow.f64 x #s(literal 2 binary64))) x)
(/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) y) (pow.f64 x #s(literal 2 binary64))) x)
(/.f64 (fma.f64 #s(literal 1/2 binary64) y (pow.f64 x #s(literal 2 binary64))) x)
(/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) y) (pow.f64 x #s(literal 2 binary64))) x)
(/.f64 (fma.f64 #s(literal 1/2 binary64) y (pow.f64 x #s(literal 2 binary64))) x)
x
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 y (pow.f64 x #s(literal 2 binary64))))))
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 1/2 binary64) y) (pow.f64 x #s(literal 2 binary64)))))
(*.f64 x (fma.f64 #s(literal 1/2 binary64) (/.f64 y (pow.f64 x #s(literal 2 binary64))) #s(literal 1 binary64)))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 y (pow.f64 x #s(literal 2 binary64))))))
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 1/2 binary64) y) (pow.f64 x #s(literal 2 binary64)))))
(*.f64 x (fma.f64 #s(literal 1/2 binary64) (/.f64 y (pow.f64 x #s(literal 2 binary64))) #s(literal 1 binary64)))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 y (pow.f64 x #s(literal 2 binary64))))))
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 1/2 binary64) y) (pow.f64 x #s(literal 2 binary64)))))
(*.f64 x (fma.f64 #s(literal 1/2 binary64) (/.f64 y (pow.f64 x #s(literal 2 binary64))) #s(literal 1 binary64)))
x
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 y (pow.f64 x #s(literal 2 binary64)))) #s(literal 1 binary64))))
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 1/2 binary64) y) (pow.f64 x #s(literal 2 binary64)))))
(*.f64 x (fma.f64 #s(literal 1/2 binary64) (/.f64 y (pow.f64 x #s(literal 2 binary64))) #s(literal 1 binary64)))
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 y (pow.f64 x #s(literal 2 binary64)))) #s(literal 1 binary64))))
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 1/2 binary64) y) (pow.f64 x #s(literal 2 binary64)))))
(*.f64 x (fma.f64 #s(literal 1/2 binary64) (/.f64 y (pow.f64 x #s(literal 2 binary64))) #s(literal 1 binary64)))
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 y (pow.f64 x #s(literal 2 binary64)))) #s(literal 1 binary64))))
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 1/2 binary64) y) (pow.f64 x #s(literal 2 binary64)))))
(*.f64 x (fma.f64 #s(literal 1/2 binary64) (/.f64 y (pow.f64 x #s(literal 2 binary64))) #s(literal 1 binary64)))
x
(+.f64 x (*.f64 #s(literal 1/2 binary64) (/.f64 y x)))
(fma.f64 #s(literal 1/2 binary64) (/.f64 y x) x)
(fma.f64 y (/.f64 #s(literal 1/2 binary64) x) x)
(+.f64 x (*.f64 #s(literal 1/2 binary64) (/.f64 y x)))
(fma.f64 #s(literal 1/2 binary64) (/.f64 y x) x)
(fma.f64 y (/.f64 #s(literal 1/2 binary64) x) x)
(+.f64 x (*.f64 #s(literal 1/2 binary64) (/.f64 y x)))
(fma.f64 #s(literal 1/2 binary64) (/.f64 y x) x)
(fma.f64 y (/.f64 #s(literal 1/2 binary64) x) x)
(*.f64 #s(literal 1/2 binary64) (/.f64 y x))
(*.f64 y (/.f64 #s(literal 1/2 binary64) x))
(/.f64 y (*.f64 x #s(literal 2 binary64)))
(*.f64 y (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) (/.f64 x y)))
(fma.f64 #s(literal 1/2 binary64) (/.f64 y x) x)
(fma.f64 y (/.f64 #s(literal 1/2 binary64) x) x)
(*.f64 y (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) (/.f64 x y)))
(fma.f64 #s(literal 1/2 binary64) (/.f64 y x) x)
(fma.f64 y (/.f64 #s(literal 1/2 binary64) x) x)
(*.f64 y (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) (/.f64 x y)))
(fma.f64 #s(literal 1/2 binary64) (/.f64 y x) x)
(fma.f64 y (/.f64 #s(literal 1/2 binary64) x) x)
(*.f64 #s(literal 1/2 binary64) (/.f64 y x))
(*.f64 y (/.f64 #s(literal 1/2 binary64) x))
(/.f64 y (*.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x y)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))))
(fma.f64 #s(literal 1/2 binary64) (/.f64 y x) x)
(fma.f64 y (/.f64 #s(literal 1/2 binary64) x) x)
(*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x y)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))))
(fma.f64 #s(literal 1/2 binary64) (/.f64 y x) x)
(fma.f64 y (/.f64 #s(literal 1/2 binary64) x) x)
(*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x y)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))))
(fma.f64 #s(literal 1/2 binary64) (/.f64 y x) x)
(fma.f64 y (/.f64 #s(literal 1/2 binary64) x) x)
(*.f64 #s(literal 1/2 binary64) (/.f64 y x))
(*.f64 y (/.f64 #s(literal 1/2 binary64) x))
(/.f64 y (*.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal 1/2 binary64) (/.f64 y x))
(*.f64 y (/.f64 #s(literal 1/2 binary64) x))
(/.f64 y (*.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal 1/2 binary64) (/.f64 y x))
(*.f64 y (/.f64 #s(literal 1/2 binary64) x))
(/.f64 y (*.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal 1/2 binary64) (/.f64 y x))
(*.f64 y (/.f64 #s(literal 1/2 binary64) x))
(/.f64 y (*.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal 1/2 binary64) (/.f64 y x))
(*.f64 y (/.f64 #s(literal 1/2 binary64) x))
(/.f64 y (*.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal 1/2 binary64) (/.f64 y x))
(*.f64 y (/.f64 #s(literal 1/2 binary64) x))
(/.f64 y (*.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal 1/2 binary64) (/.f64 y x))
(*.f64 y (/.f64 #s(literal 1/2 binary64) x))
(/.f64 y (*.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal 1/2 binary64) (/.f64 y x))
(*.f64 y (/.f64 #s(literal 1/2 binary64) x))
(/.f64 y (*.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal 1/2 binary64) (/.f64 y x))
(*.f64 y (/.f64 #s(literal 1/2 binary64) x))
(/.f64 y (*.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal 1/2 binary64) (/.f64 y x))
(*.f64 y (/.f64 #s(literal 1/2 binary64) x))
(/.f64 y (*.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal 1/2 binary64) (/.f64 y x))
(*.f64 y (/.f64 #s(literal 1/2 binary64) x))
(/.f64 y (*.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal 1/2 binary64) (/.f64 y x))
(*.f64 y (/.f64 #s(literal 1/2 binary64) x))
(/.f64 y (*.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal 1/2 binary64) (/.f64 y x))
(*.f64 y (/.f64 #s(literal 1/2 binary64) x))
(/.f64 y (*.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal 1/2 binary64) (/.f64 y x))
(*.f64 y (/.f64 #s(literal 1/2 binary64) x))
(/.f64 y (*.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal 1/2 binary64) (/.f64 y x))
(*.f64 y (/.f64 #s(literal 1/2 binary64) x))
(/.f64 y (*.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal 1/2 binary64) (/.f64 y x))
(*.f64 y (/.f64 #s(literal 1/2 binary64) x))
(/.f64 y (*.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal 1/2 binary64) (/.f64 y x))
(*.f64 y (/.f64 #s(literal 1/2 binary64) x))
(/.f64 y (*.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal 1/2 binary64) (/.f64 y x))
(*.f64 y (/.f64 #s(literal 1/2 binary64) x))
(/.f64 y (*.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal 1/2 binary64) (/.f64 y x))
(*.f64 y (/.f64 #s(literal 1/2 binary64) x))
(/.f64 y (*.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal 1/2 binary64) (/.f64 y x))
(*.f64 y (/.f64 #s(literal 1/2 binary64) x))
(/.f64 y (*.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal 1/2 binary64) (/.f64 y x))
(*.f64 y (/.f64 #s(literal 1/2 binary64) x))
(/.f64 y (*.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal 1/2 binary64) (/.f64 y x))
(*.f64 y (/.f64 #s(literal 1/2 binary64) x))
(/.f64 y (*.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal 1/2 binary64) (/.f64 y x))
(*.f64 y (/.f64 #s(literal 1/2 binary64) x))
(/.f64 y (*.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal 1/2 binary64) (/.f64 y x))
(*.f64 y (/.f64 #s(literal 1/2 binary64) x))
(/.f64 y (*.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal 1/2 binary64) (/.f64 y x))
(*.f64 y (/.f64 #s(literal 1/2 binary64) x))
(/.f64 y (*.f64 x #s(literal 2 binary64)))
(/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) y) (pow.f64 x #s(literal 2 binary64))) x)
(/.f64 (fma.f64 #s(literal 1/2 binary64) y (pow.f64 x #s(literal 2 binary64))) x)
(/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) y) (pow.f64 x #s(literal 2 binary64))) x)
(/.f64 (fma.f64 #s(literal 1/2 binary64) y (pow.f64 x #s(literal 2 binary64))) x)
(/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) y) (pow.f64 x #s(literal 2 binary64))) x)
(/.f64 (fma.f64 #s(literal 1/2 binary64) y (pow.f64 x #s(literal 2 binary64))) x)
x
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 y (pow.f64 x #s(literal 2 binary64))))))
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 1/2 binary64) y) (pow.f64 x #s(literal 2 binary64)))))
(*.f64 x (fma.f64 #s(literal 1/2 binary64) (/.f64 y (pow.f64 x #s(literal 2 binary64))) #s(literal 1 binary64)))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 y (pow.f64 x #s(literal 2 binary64))))))
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 1/2 binary64) y) (pow.f64 x #s(literal 2 binary64)))))
(*.f64 x (fma.f64 #s(literal 1/2 binary64) (/.f64 y (pow.f64 x #s(literal 2 binary64))) #s(literal 1 binary64)))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 y (pow.f64 x #s(literal 2 binary64))))))
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 1/2 binary64) y) (pow.f64 x #s(literal 2 binary64)))))
(*.f64 x (fma.f64 #s(literal 1/2 binary64) (/.f64 y (pow.f64 x #s(literal 2 binary64))) #s(literal 1 binary64)))
x
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 y (pow.f64 x #s(literal 2 binary64)))) #s(literal 1 binary64))))
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 1/2 binary64) y) (pow.f64 x #s(literal 2 binary64)))))
(*.f64 x (fma.f64 #s(literal 1/2 binary64) (/.f64 y (pow.f64 x #s(literal 2 binary64))) #s(literal 1 binary64)))
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 y (pow.f64 x #s(literal 2 binary64)))) #s(literal 1 binary64))))
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 1/2 binary64) y) (pow.f64 x #s(literal 2 binary64)))))
(*.f64 x (fma.f64 #s(literal 1/2 binary64) (/.f64 y (pow.f64 x #s(literal 2 binary64))) #s(literal 1 binary64)))
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 y (pow.f64 x #s(literal 2 binary64)))) #s(literal 1 binary64))))
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 1/2 binary64) y) (pow.f64 x #s(literal 2 binary64)))))
(*.f64 x (fma.f64 #s(literal 1/2 binary64) (/.f64 y (pow.f64 x #s(literal 2 binary64))) #s(literal 1 binary64)))
x
(+.f64 x (*.f64 #s(literal 1/2 binary64) (/.f64 y x)))
(fma.f64 #s(literal 1/2 binary64) (/.f64 y x) x)
(fma.f64 y (/.f64 #s(literal 1/2 binary64) x) x)
(+.f64 x (*.f64 #s(literal 1/2 binary64) (/.f64 y x)))
(fma.f64 #s(literal 1/2 binary64) (/.f64 y x) x)
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(/.f64 (-.f64 (pow.f64 (*.f64 y (/.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) (fma.f64 #s(literal 1/2 binary64) (/.f64 y x) (neg.f64 x)))
(/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 y x)) #s(literal 2 binary64))) (-.f64 x (*.f64 #s(literal 1/2 binary64) (/.f64 y x))))
(/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (*.f64 y (/.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64))) (+.f64 x (/.f64 (*.f64 y #s(literal -1/2 binary64)) x)))
(/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (/.f64 y (*.f64 x #s(literal 2 binary64))) #s(literal 2 binary64))) (fma.f64 y (/.f64 #s(literal -1/2 binary64) x) x))
(pow.f64 (fma.f64 y (/.f64 #s(literal 1/2 binary64) x) x) #s(literal 1 binary64))
(fma.f64 #s(literal 1/2 binary64) (/.f64 y x) x)
(fma.f64 y (/.f64 #s(literal 1/2 binary64) x) x)
(pow.f64 (cbrt.f64 (fma.f64 y (/.f64 #s(literal 1/2 binary64) x) x)) #s(literal 3 binary64))
(fma.f64 #s(literal 1/2 binary64) (/.f64 y x) x)
(fma.f64 y (/.f64 #s(literal 1/2 binary64) x) x)
(pow.f64 (pow.f64 (fma.f64 y (/.f64 #s(literal 1/2 binary64) x) x) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(fma.f64 #s(literal 1/2 binary64) (/.f64 y x) x)
(fma.f64 y (/.f64 #s(literal 1/2 binary64) x) x)
(pow.f64 (sqrt.f64 (fma.f64 y (/.f64 #s(literal 1/2 binary64) x) x)) #s(literal 2 binary64))
(fma.f64 #s(literal 1/2 binary64) (/.f64 y x) x)
(fma.f64 y (/.f64 #s(literal 1/2 binary64) x) x)
(pow.f64 (/.f64 (fma.f64 (*.f64 y (/.f64 #s(literal 1/2 binary64) x)) (fma.f64 #s(literal 1/2 binary64) (/.f64 y x) (neg.f64 x)) (pow.f64 x #s(literal 2 binary64))) (fma.f64 #s(literal 1/8 binary64) (pow.f64 (/.f64 y x) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) #s(literal -1 binary64))
(*.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 (/.f64 y x) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 y x)) (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 y x)) x) (pow.f64 x #s(literal 2 binary64)))))
(/.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 (/.f64 y x) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (*.f64 y (/.f64 #s(literal 1/2 binary64) x)) (-.f64 (*.f64 y (/.f64 #s(literal 1/2 binary64) x)) x) (pow.f64 x #s(literal 2 binary64))))
(/.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 (/.f64 y x) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (+.f64 (pow.f64 (/.f64 y (*.f64 x #s(literal 2 binary64))) #s(literal 2 binary64)) (fma.f64 x x (*.f64 y #s(literal -1/2 binary64)))))
(pow.f64 (/.f64 (-.f64 x (*.f64 y (/.f64 #s(literal 1/2 binary64) x))) (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (*.f64 y (/.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)))) #s(literal -1 binary64))
(/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 y x)) #s(literal 2 binary64))) (-.f64 x (*.f64 #s(literal 1/2 binary64) (/.f64 y x))))
(/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (*.f64 y (/.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64))) (+.f64 x (/.f64 (*.f64 y #s(literal -1/2 binary64)) x)))
(/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (/.f64 y (*.f64 x #s(literal 2 binary64))) #s(literal 2 binary64))) (fma.f64 y (/.f64 #s(literal -1/2 binary64) x) x))
(sqrt.f64 (pow.f64 (fma.f64 y (/.f64 #s(literal 1/2 binary64) x) x) #s(literal 2 binary64)))
(fma.f64 #s(literal 1/2 binary64) (/.f64 y x) x)
(fma.f64 y (/.f64 #s(literal 1/2 binary64) x) x)
(log.f64 (exp.f64 (fma.f64 y (/.f64 #s(literal 1/2 binary64) x) x)))
(fma.f64 #s(literal 1/2 binary64) (/.f64 y x) x)
(fma.f64 y (/.f64 #s(literal 1/2 binary64) x) x)
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 y (/.f64 #s(literal 1/2 binary64) x) x))))
(fma.f64 #s(literal 1/2 binary64) (/.f64 y x) x)
(fma.f64 y (/.f64 #s(literal 1/2 binary64) x) x)
(log.f64 (*.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 y (/.f64 #s(literal 1/2 binary64) x))))))
(fma.f64 #s(literal 1/2 binary64) (/.f64 y x) x)
(fma.f64 y (/.f64 #s(literal 1/2 binary64) x) x)
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 x)) (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (/.f64 y x))))
(fma.f64 #s(literal 1/2 binary64) (/.f64 y x) x)
(fma.f64 y (/.f64 #s(literal 1/2 binary64) x) x)
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 x)) (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 y (/.f64 #s(literal 1/2 binary64) x))))))
(fma.f64 #s(literal 1/2 binary64) (/.f64 y x) x)
(fma.f64 y (/.f64 #s(literal 1/2 binary64) x) x)
(log.f64 (*.f64 (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (/.f64 y x)) (+.f64 #s(literal 1 binary64) (expm1.f64 x))))
(fma.f64 #s(literal 1/2 binary64) (/.f64 y x) x)
(fma.f64 y (/.f64 #s(literal 1/2 binary64) x) x)
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 y (/.f64 #s(literal 1/2 binary64) x)))) (exp.f64 x)))
(fma.f64 #s(literal 1/2 binary64) (/.f64 y x) x)
(fma.f64 y (/.f64 #s(literal 1/2 binary64) x) x)
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 y (/.f64 #s(literal 1/2 binary64) x)))) (+.f64 #s(literal 1 binary64) (expm1.f64 x))))
(fma.f64 #s(literal 1/2 binary64) (/.f64 y x) x)
(fma.f64 y (/.f64 #s(literal 1/2 binary64) x) x)
(cbrt.f64 (pow.f64 (fma.f64 y (/.f64 #s(literal 1/2 binary64) x) x) #s(literal 3 binary64)))
(fma.f64 #s(literal 1/2 binary64) (/.f64 y x) x)
(fma.f64 y (/.f64 #s(literal 1/2 binary64) x) x)
(expm1.f64 (log1p.f64 (fma.f64 y (/.f64 #s(literal 1/2 binary64) x) x)))
(expm1.f64 (log1p.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 y x) x)))
(log1p.f64 (expm1.f64 (fma.f64 y (/.f64 #s(literal 1/2 binary64) x) x)))
(fma.f64 #s(literal 1/2 binary64) (/.f64 y x) x)
(fma.f64 y (/.f64 #s(literal 1/2 binary64) x) x)
(exp.f64 (log.f64 (fma.f64 y (/.f64 #s(literal 1/2 binary64) x) x)))
(fma.f64 #s(literal 1/2 binary64) (/.f64 y x) x)
(fma.f64 y (/.f64 #s(literal 1/2 binary64) x) x)
(exp.f64 (*.f64 (log.f64 (fma.f64 y (/.f64 #s(literal 1/2 binary64) x) x)) #s(literal 1 binary64)))
(fma.f64 #s(literal 1/2 binary64) (/.f64 y x) x)
(fma.f64 y (/.f64 #s(literal 1/2 binary64) x) x)
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (fma.f64 y (/.f64 #s(literal 1/2 binary64) x) x))) #s(literal 3 binary64)))
(fma.f64 #s(literal 1/2 binary64) (/.f64 y x) x)
(fma.f64 y (/.f64 #s(literal 1/2 binary64) x) x)
(exp.f64 (*.f64 (*.f64 #s(literal 3 binary64) (log.f64 (fma.f64 y (/.f64 #s(literal 1/2 binary64) x) x))) #s(literal 1/3 binary64)))
(fma.f64 #s(literal 1/2 binary64) (/.f64 y x) x)
(fma.f64 y (/.f64 #s(literal 1/2 binary64) x) x)
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (fma.f64 y (/.f64 #s(literal 1/2 binary64) x) x))) #s(literal 2 binary64)))
(fma.f64 #s(literal 1/2 binary64) (/.f64 y x) x)
(fma.f64 y (/.f64 #s(literal 1/2 binary64) x) x)
(fma.f64 y (/.f64 #s(literal 1/2 binary64) x) x)
(fma.f64 #s(literal 1/2 binary64) (/.f64 y x) x)
(fma.f64 #s(literal 1/2 binary64) (/.f64 y x) x)
(fma.f64 y (/.f64 #s(literal 1/2 binary64) x) x)
(fma.f64 x #s(literal 1 binary64) (*.f64 y (/.f64 #s(literal 1/2 binary64) x)))
(fma.f64 #s(literal 1/2 binary64) (/.f64 y x) x)
(fma.f64 y (/.f64 #s(literal 1/2 binary64) x) x)
(fma.f64 (/.f64 #s(literal 1/2 binary64) x) y x)
(fma.f64 #s(literal 1/2 binary64) (/.f64 y x) x)
(fma.f64 y (/.f64 #s(literal 1/2 binary64) x) x)
(fma.f64 (*.f64 y (/.f64 #s(literal 1/2 binary64) x)) #s(literal 1 binary64) x)
(fma.f64 #s(literal 1/2 binary64) (/.f64 y x) x)
(fma.f64 y (/.f64 #s(literal 1/2 binary64) x) x)
(fma.f64 #s(literal 1 binary64) x (*.f64 y (/.f64 #s(literal 1/2 binary64) x)))
(fma.f64 #s(literal 1/2 binary64) (/.f64 y x) x)
(fma.f64 y (/.f64 #s(literal 1/2 binary64) x) x)
(fma.f64 #s(literal 1 binary64) (*.f64 y (/.f64 #s(literal 1/2 binary64) x)) x)
(fma.f64 #s(literal 1/2 binary64) (/.f64 y x) x)
(fma.f64 y (/.f64 #s(literal 1/2 binary64) x) x)
(fma.f64 (cbrt.f64 (/.f64 #s(literal 1/4 binary64) (pow.f64 x #s(literal 2 binary64)))) (*.f64 (cbrt.f64 (/.f64 #s(literal 1/2 binary64) x)) y) x)
(fma.f64 (cbrt.f64 (/.f64 #s(literal 1/4 binary64) (pow.f64 x #s(literal 2 binary64)))) (*.f64 y (cbrt.f64 (/.f64 #s(literal 1/2 binary64) x))) x)
(fma.f64 y (*.f64 (cbrt.f64 (/.f64 #s(literal 1/2 binary64) x)) (cbrt.f64 (/.f64 #s(literal 1/4 binary64) (pow.f64 x #s(literal 2 binary64))))) x)
(fma.f64 (cbrt.f64 (*.f64 y (/.f64 #s(literal 1/2 binary64) x))) (pow.f64 (cbrt.f64 (*.f64 y (/.f64 #s(literal 1/2 binary64) x))) #s(literal 2 binary64)) x)
(fma.f64 #s(literal 1/2 binary64) (/.f64 y x) x)
(fma.f64 y (/.f64 #s(literal 1/2 binary64) x) x)
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 y (/.f64 #s(literal 1/2 binary64) x))) #s(literal 2 binary64)) (cbrt.f64 (*.f64 y (/.f64 #s(literal 1/2 binary64) x))) x)
(fma.f64 #s(literal 1/2 binary64) (/.f64 y x) x)
(fma.f64 y (/.f64 #s(literal 1/2 binary64) x) x)
(fma.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (*.f64 y (/.f64 #s(literal 1/2 binary64) x)))
(fma.f64 #s(literal 1/2 binary64) (/.f64 y x) x)
(fma.f64 y (/.f64 #s(literal 1/2 binary64) x) x)
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (cbrt.f64 x) (*.f64 y (/.f64 #s(literal 1/2 binary64) x)))
(fma.f64 #s(literal 1/2 binary64) (/.f64 y x) x)
(fma.f64 y (/.f64 #s(literal 1/2 binary64) x) x)
(fma.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (*.f64 (cbrt.f64 y) (/.f64 #s(literal 1/2 binary64) x)) x)
(fma.f64 #s(literal 1/2 binary64) (/.f64 y x) x)
(fma.f64 y (/.f64 #s(literal 1/2 binary64) x) x)
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1/2 binary64) x)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1/2 binary64) x)) y) x)
(fma.f64 #s(literal 1/2 binary64) (/.f64 y x) x)
(fma.f64 y (/.f64 #s(literal 1/2 binary64) x) x)
(fma.f64 (sqrt.f64 (*.f64 y (/.f64 #s(literal 1/2 binary64) x))) (sqrt.f64 (*.f64 y (/.f64 #s(literal 1/2 binary64) x))) x)
(fma.f64 #s(literal 1/2 binary64) (/.f64 y x) x)
(fma.f64 y (/.f64 #s(literal 1/2 binary64) x) x)
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 y (/.f64 #s(literal 1/2 binary64) x)))
(fma.f64 #s(literal 1/2 binary64) (/.f64 y x) x)
(fma.f64 y (/.f64 #s(literal 1/2 binary64) x) x)
(fma.f64 (sqrt.f64 y) (*.f64 (sqrt.f64 y) (/.f64 #s(literal 1/2 binary64) x)) x)
(fma.f64 #s(literal 1/2 binary64) (/.f64 y x) x)
(fma.f64 y (/.f64 #s(literal 1/2 binary64) x) x)
(fma.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 x) y)) x)
(fma.f64 #s(literal 1/2 binary64) (/.f64 y x) x)
(fma.f64 y (/.f64 #s(literal 1/2 binary64) x) x)
(fma.f64 (/.f64 y x) #s(literal 1/2 binary64) x)
(fma.f64 #s(literal 1/2 binary64) (/.f64 y x) x)
(fma.f64 y (/.f64 #s(literal 1/2 binary64) x) x)
(fma.f64 (*.f64 y #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) x) x)
(fma.f64 #s(literal 1/2 binary64) (/.f64 y x) x)
(fma.f64 y (/.f64 #s(literal 1/2 binary64) x) x)
(fma.f64 (/.f64 y (sqrt.f64 x)) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) x)
(fma.f64 #s(literal 1/2 binary64) (/.f64 y x) x)
(fma.f64 y (/.f64 #s(literal 1/2 binary64) x) x)
(fma.f64 (/.f64 y #s(literal 1 binary64)) (/.f64 #s(literal 1/2 binary64) x) x)
(fma.f64 #s(literal 1/2 binary64) (/.f64 y x) x)
(fma.f64 y (/.f64 #s(literal 1/2 binary64) x) x)
(fma.f64 (/.f64 y (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (/.f64 #s(literal 1/2 binary64) (cbrt.f64 x)) x)
(fma.f64 #s(literal 1/2 binary64) (/.f64 y x) x)
(fma.f64 y (/.f64 #s(literal 1/2 binary64) x) x)
(fma.f64 (*.f64 y (cbrt.f64 (/.f64 #s(literal 1/4 binary64) (pow.f64 x #s(literal 2 binary64))))) (cbrt.f64 (/.f64 #s(literal 1/2 binary64) x)) x)
(fma.f64 (cbrt.f64 (/.f64 #s(literal 1/4 binary64) (pow.f64 x #s(literal 2 binary64)))) (*.f64 y (cbrt.f64 (/.f64 #s(literal 1/2 binary64) x))) x)
(fma.f64 y (*.f64 (cbrt.f64 (/.f64 #s(literal 1/2 binary64) x)) (cbrt.f64 (/.f64 #s(literal 1/4 binary64) (pow.f64 x #s(literal 2 binary64))))) x)
(fma.f64 (*.f64 y (sqrt.f64 (/.f64 #s(literal 1/2 binary64) x))) (sqrt.f64 (/.f64 #s(literal 1/2 binary64) x)) x)
(fma.f64 #s(literal 1/2 binary64) (/.f64 y x) x)
(fma.f64 y (/.f64 #s(literal 1/2 binary64) x) x)
(fma.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) x) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (cbrt.f64 y) x)
(fma.f64 #s(literal 1/2 binary64) (/.f64 y x) x)
(fma.f64 y (/.f64 #s(literal 1/2 binary64) x) x)
(fma.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) x) (sqrt.f64 y)) (sqrt.f64 y) x)
(fma.f64 #s(literal 1/2 binary64) (/.f64 y x) x)
(fma.f64 y (/.f64 #s(literal 1/2 binary64) x) x)
(fma.f64 (/.f64 #s(literal 1/2 binary64) (neg.f64 x)) (neg.f64 y) x)
(fma.f64 #s(literal 1/2 binary64) (/.f64 y x) x)
(fma.f64 y (/.f64 #s(literal 1/2 binary64) x) x)

eval34.0ms (0.8%)

Compiler

Compiled 3050 to 754 computations (75.3% saved)

prune36.0ms (0.8%)

Pruning

6 alts after pruning (1 fresh and 5 done)

PrunedKeptTotal
New2491250
Fresh000
Picked022
Done033
Total2496255
Accuracy
100.0%
Counts
255 → 6
Alt Table
Click to see full alt table
StatusAccuracyProgram
68.5%
(+.f64 x (/.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1 binary64) y)))
68.5%
(+.f64 x (/.f64 (*.f64 #s(literal 1/2 binary64) y) x))
68.5%
(+.f64 x (/.f64 #s(literal 1/2 binary64) (/.f64 x y)))
68.5%
(+.f64 x (*.f64 y (/.f64 #s(literal 1/2 binary64) x)))
34.8%
(sqrt.f64 y)
68.2%
x
Compiler

Compiled 45 to 31 computations (31.1% saved)

simplify8.0ms (0.2%)

Algorithm
egg-herbie
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
cost-diff-6144
(+.f64 x (/.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1 binary64) y)))
cost-diff0
(/.f64 #s(literal 1 binary64) y)
cost-diff0
(/.f64 #s(literal 1/2 binary64) x)
cost-diff128
(/.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1 binary64) y))
Rules
fma-define
associate-/l/
associate-*l/
*-commutative
associate-/r*
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01389
12473
23773
35573
46773
57073
Stop Event
saturated
Calls
Call 1
Inputs
(+.f64 x (/.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1 binary64) y)))
x
(/.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1 binary64) y))
(/.f64 #s(literal 1/2 binary64) x)
#s(literal 1/2 binary64)
(/.f64 #s(literal 1 binary64) y)
#s(literal 1 binary64)
y
Outputs
(+.f64 x (/.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1 binary64) y)))
(+.f64 x (/.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) y) x)))
(fma.f64 (/.f64 #s(literal 1/2 binary64) x) y x)
(fma.f64 y (/.f64 #s(literal 1/2 binary64) x) x)
(fma.f64 #s(literal 1/2 binary64) (/.f64 y x) x)
x
(/.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1 binary64) y))
(/.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) y) x))
(*.f64 y (/.f64 #s(literal 1/2 binary64) x))
(/.f64 #s(literal 1/2 binary64) (/.f64 x y))
(/.f64 (*.f64 #s(literal 1/2 binary64) y) x)
(/.f64 #s(literal 1/2 binary64) x)
#s(literal 1/2 binary64)
(/.f64 #s(literal 1 binary64) y)
#s(literal 1 binary64)
y

localize358.0ms (8.3%)

Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(/.f64 #s(literal 1 binary64) y)
accuracy100.0%
(/.f64 #s(literal 1/2 binary64) x)
accuracy100.0%
(+.f64 x (/.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1 binary64) y)))
accuracy99.2%
(/.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1 binary64) y))
Results
349.0ms256×0valid
Compiler

Compiled 28 to 10 computations (64.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 8.0ms
ival-div: 6.0ms (72.8% of total)
ival-add: 1.0ms (12.1% of total)
ival-true: 0.0ms (0% of total)
...in/eval/compile.rkt:70:19: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series3.0ms (0.1%)

Counts
3 → 48
Calls
Call 1
Inputs
#<alt (/.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1 binary64) y))>
#<alt (/.f64 #s(literal 1 binary64) y)>
#<alt (+.f64 x (/.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1 binary64) y)))>
Outputs
#<alt (*.f64 #s(literal 1/2 binary64) (/.f64 y x))>
#<alt (*.f64 #s(literal 1/2 binary64) (/.f64 y x))>
#<alt (*.f64 #s(literal 1/2 binary64) (/.f64 y x))>
#<alt (*.f64 #s(literal 1/2 binary64) (/.f64 y x))>
#<alt (*.f64 #s(literal 1/2 binary64) (/.f64 y x))>
#<alt (*.f64 #s(literal 1/2 binary64) (/.f64 y x))>
#<alt (*.f64 #s(literal 1/2 binary64) (/.f64 y x))>
#<alt (*.f64 #s(literal 1/2 binary64) (/.f64 y x))>
#<alt (*.f64 #s(literal 1/2 binary64) (/.f64 y x))>
#<alt (*.f64 #s(literal 1/2 binary64) (/.f64 y x))>
#<alt (*.f64 #s(literal 1/2 binary64) (/.f64 y x))>
#<alt (*.f64 #s(literal 1/2 binary64) (/.f64 y x))>
#<alt (*.f64 #s(literal 1/2 binary64) (/.f64 y x))>
#<alt (*.f64 #s(literal 1/2 binary64) (/.f64 y x))>
#<alt (*.f64 #s(literal 1/2 binary64) (/.f64 y x))>
#<alt (*.f64 #s(literal 1/2 binary64) (/.f64 y x))>
#<alt (*.f64 #s(literal 1/2 binary64) (/.f64 y x))>
#<alt (*.f64 #s(literal 1/2 binary64) (/.f64 y x))>
#<alt (*.f64 #s(literal 1/2 binary64) (/.f64 y x))>
#<alt (*.f64 #s(literal 1/2 binary64) (/.f64 y x))>
#<alt (*.f64 #s(literal 1/2 binary64) (/.f64 y x))>
#<alt (*.f64 #s(literal 1/2 binary64) (/.f64 y x))>
#<alt (*.f64 #s(literal 1/2 binary64) (/.f64 y x))>
#<alt (*.f64 #s(literal 1/2 binary64) (/.f64 y x))>
#<alt (*.f64 #s(literal 1/2 binary64) (/.f64 y x))>
#<alt (/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) y) (pow.f64 x #s(literal 2 binary64))) x)>
#<alt (/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) y) (pow.f64 x #s(literal 2 binary64))) x)>
#<alt (/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) y) (pow.f64 x #s(literal 2 binary64))) x)>
#<alt x>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 y (pow.f64 x #s(literal 2 binary64))))))>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 y (pow.f64 x #s(literal 2 binary64))))))>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 y (pow.f64 x #s(literal 2 binary64))))))>
#<alt x>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 y (pow.f64 x #s(literal 2 binary64)))) #s(literal 1 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 y (pow.f64 x #s(literal 2 binary64)))) #s(literal 1 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 y (pow.f64 x #s(literal 2 binary64)))) #s(literal 1 binary64))))>
#<alt x>
#<alt (+.f64 x (*.f64 #s(literal 1/2 binary64) (/.f64 y x)))>
#<alt (+.f64 x (*.f64 #s(literal 1/2 binary64) (/.f64 y x)))>
#<alt (+.f64 x (*.f64 #s(literal 1/2 binary64) (/.f64 y x)))>
#<alt (*.f64 #s(literal 1/2 binary64) (/.f64 y x))>
#<alt (*.f64 y (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) (/.f64 x y)))>
#<alt (*.f64 y (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) (/.f64 x y)))>
#<alt (*.f64 y (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) (/.f64 x y)))>
#<alt (*.f64 #s(literal 1/2 binary64) (/.f64 y x))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x y)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x y)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x y)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))))>
Calls

15 calls:

TimeVariablePointExpression
0.0ms
y
@-inf
(/ 1 y)
0.0ms
x
@inf
(/ (/ 1/2 x) (/ 1 y))
0.0ms
x
@inf
(+ x (/ (/ 1/2 x) (/ 1 y)))
0.0ms
y
@-inf
(+ x (/ (/ 1/2 x) (/ 1 y)))
0.0ms
x
@0
(/ (/ 1/2 x) (/ 1 y))

rewrite105.0ms (2.4%)

Algorithm
batch-egg-rewrite
Rules
872×log1p-expm1-u
872×expm1-log1p-u
815×prod-diff
210×fma-define
136×expm1-undefine
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01369
116553
2245653
Stop Event
node limit
Counts
3 → 136
Calls
Call 1
Inputs
(/.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1 binary64) y))
(/.f64 #s(literal 1 binary64) y)
(+.f64 x (/.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1 binary64) y)))
Outputs
(-.f64 (exp.f64 (log1p.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) x) y))) #s(literal 1 binary64))
(*.f64 #s(literal 1/2 binary64) (/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) y)))
(*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (/.f64 x y)))
(*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) x) y))
(*.f64 (/.f64 #s(literal 1/2 binary64) x) y)
(*.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1/2 binary64) x) y))
(*.f64 y (/.f64 #s(literal 1/2 binary64) x))
(*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) x) y) #s(literal 1 binary64))
(*.f64 (cbrt.f64 (/.f64 #s(literal 1/4 binary64) (pow.f64 x #s(literal 2 binary64)))) (/.f64 (cbrt.f64 (/.f64 #s(literal 1/2 binary64) x)) (/.f64 #s(literal 1 binary64) y)))
(*.f64 (cbrt.f64 (/.f64 #s(literal 1/4 binary64) (pow.f64 x #s(literal 2 binary64)))) (*.f64 (cbrt.f64 (/.f64 #s(literal 1/2 binary64) x)) y))
(*.f64 (cbrt.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) x) y)) (pow.f64 (cbrt.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) x) y)) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) x) y)) #s(literal 2 binary64)) (cbrt.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) x) y)))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1/2 binary64) x)) (/.f64 (sqrt.f64 (/.f64 #s(literal 1/2 binary64) x)) (/.f64 #s(literal 1 binary64) y)))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1/2 binary64) x)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1/2 binary64) x)) y))
(*.f64 (sqrt.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) x) y)) (sqrt.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) x) y)))
(*.f64 (/.f64 #s(literal -1/2 binary64) x) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) y)))
(*.f64 (/.f64 #s(literal 1/2 binary64) (cbrt.f64 (pow.f64 y #s(literal -2 binary64)))) (/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (cbrt.f64 y))))
(*.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 y #s(literal -1/2 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) x) (pow.f64 y #s(literal -1/2 binary64))))
(*.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 (pow.f64 y #s(literal -2 binary64)))) (/.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1 binary64) (cbrt.f64 y))))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal -1/2 binary64))) (/.f64 (/.f64 #s(literal 1/2 binary64) x) (pow.f64 y #s(literal -1/2 binary64))))
(*.f64 (/.f64 (cbrt.f64 (/.f64 #s(literal 1/4 binary64) (pow.f64 x #s(literal 2 binary64)))) #s(literal 1 binary64)) (/.f64 (cbrt.f64 (/.f64 #s(literal 1/2 binary64) x)) (/.f64 #s(literal 1 binary64) y)))
(*.f64 (/.f64 (cbrt.f64 (/.f64 #s(literal 1/4 binary64) (pow.f64 x #s(literal 2 binary64)))) (cbrt.f64 (pow.f64 y #s(literal -2 binary64)))) (cbrt.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) x) y)))
(*.f64 (/.f64 (cbrt.f64 (/.f64 #s(literal 1/4 binary64) (pow.f64 x #s(literal 2 binary64)))) (pow.f64 y #s(literal -1/2 binary64))) (/.f64 (cbrt.f64 (/.f64 #s(literal 1/2 binary64) x)) (pow.f64 y #s(literal -1/2 binary64))))
(*.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1/2 binary64) x)) #s(literal 1 binary64)) (/.f64 (sqrt.f64 (/.f64 #s(literal 1/2 binary64) x)) (/.f64 #s(literal 1 binary64) y)))
(*.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1/2 binary64) x)) (cbrt.f64 (pow.f64 y #s(literal -2 binary64)))) (/.f64 (sqrt.f64 (/.f64 #s(literal 1/2 binary64) x)) (/.f64 #s(literal 1 binary64) (cbrt.f64 y))))
(*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) x) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (cbrt.f64 y))
(*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) x) (sqrt.f64 y)) (sqrt.f64 y))
(*.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal -1 binary64)) (neg.f64 y))
(pow.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) x) y) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) x) y)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) x) y) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) x) y)) #s(literal 2 binary64))
(pow.f64 (*.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 x #s(literal 2 binary64))) #s(literal -1 binary64))
(neg.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal -1 binary64) y)))
(neg.f64 (/.f64 (/.f64 #s(literal -1/2 binary64) x) (/.f64 #s(literal 1 binary64) y)))
(sqrt.f64 (pow.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) x) y) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 (/.f64 #s(literal 1/2 binary64) x)) y))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) x) y))))
(cbrt.f64 (pow.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) x) y) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) x) y)))
(log1p.f64 (expm1.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) x) y)))
(exp.f64 (log.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) x) y)))
(exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) x) y)) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 #s(literal 1 binary64) y))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y))
(*.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) y))
(*.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 y)) (cbrt.f64 (pow.f64 y #s(literal -2 binary64))))
(*.f64 (cbrt.f64 (pow.f64 y #s(literal -2 binary64))) (/.f64 #s(literal 1 binary64) (cbrt.f64 y)))
(*.f64 (pow.f64 y #s(literal -1/2 binary64)) (pow.f64 y #s(literal -1/2 binary64)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) #s(literal -1 binary64)) (pow.f64 (cbrt.f64 y) #s(literal -1 binary64)))
(*.f64 (pow.f64 (sqrt.f64 y) #s(literal -1 binary64)) (pow.f64 (sqrt.f64 y) #s(literal -1 binary64)))
(pow.f64 y #s(literal -1 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 y)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (pow.f64 y #s(literal -1/2 binary64)) #s(literal 2 binary64))
(neg.f64 (/.f64 #s(literal -1 binary64) y))
(sqrt.f64 (pow.f64 y #s(literal -2 binary64)))
(log.f64 (exp.f64 (/.f64 #s(literal 1 binary64) y)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 #s(literal 1 binary64) y))))
(cbrt.f64 (pow.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (/.f64 #s(literal 1 binary64) y)))
(log1p.f64 (expm1.f64 (/.f64 #s(literal 1 binary64) y)))
(exp.f64 (neg.f64 (log.f64 y)))
(exp.f64 (*.f64 (log.f64 y) #s(literal -1 binary64)))
(exp.f64 (*.f64 (neg.f64 (log.f64 y)) #s(literal 1 binary64)))
(-.f64 x (/.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal -1 binary64) y)))
(-.f64 x (/.f64 (/.f64 #s(literal -1/2 binary64) x) (/.f64 #s(literal 1 binary64) y)))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) x) y x))) #s(literal 1 binary64))
(-.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 x (*.f64 (/.f64 #s(literal -1/2 binary64) x) y))) (/.f64 (pow.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) x) y) #s(literal 2 binary64)) (+.f64 x (*.f64 (/.f64 #s(literal -1/2 binary64) x) y))))
(*.f64 #s(literal 1 binary64) (fma.f64 (/.f64 #s(literal 1/2 binary64) x) y x))
(*.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) x) y x) #s(literal 1 binary64))
(*.f64 (cbrt.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) x) y x)) (pow.f64 (cbrt.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) x) y x)) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) x) y x)) #s(literal 2 binary64)) (cbrt.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) x) y x)))
(*.f64 (sqrt.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) x) y x)) (sqrt.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) x) y x)))
(*.f64 (+.f64 (pow.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) x) y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) x) y) (fma.f64 (/.f64 #s(literal 1/2 binary64) x) y (neg.f64 x)) (pow.f64 x #s(literal 2 binary64)))))
(*.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) x) y) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 x (*.f64 (/.f64 #s(literal -1/2 binary64) x) y))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) x) y) (fma.f64 (/.f64 #s(literal 1/2 binary64) x) y (neg.f64 x)) (pow.f64 x #s(literal 2 binary64))) (+.f64 (pow.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) x) y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 x (*.f64 (/.f64 #s(literal -1/2 binary64) x) y)) (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) x) y) #s(literal 2 binary64)))))
(/.f64 (+.f64 (pow.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) x) y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) x) y) (fma.f64 (/.f64 #s(literal 1/2 binary64) x) y (neg.f64 x)) (pow.f64 x #s(literal 2 binary64))))
(/.f64 (+.f64 (pow.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) x) y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) x) y) #s(literal 2 binary64)) (-.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 x (*.f64 (/.f64 #s(literal 1/2 binary64) x) y)))))
(/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) x) y) #s(literal 2 binary64))) (+.f64 x (*.f64 (/.f64 #s(literal -1/2 binary64) x) y)))
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) x) y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (fma.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) x) y) (fma.f64 (/.f64 #s(literal 1/2 binary64) x) y (neg.f64 x)) (pow.f64 x #s(literal 2 binary64)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) x) y) #s(literal 2 binary64)))) (neg.f64 (+.f64 x (*.f64 (/.f64 #s(literal -1/2 binary64) x) y))))
(/.f64 (-.f64 (pow.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) x) y) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) (fma.f64 (/.f64 #s(literal 1/2 binary64) x) y (neg.f64 x)))
(pow.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) x) y x) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) x) y x)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) x) y x) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) x) y x)) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) x) y x) #s(literal 2 binary64)))
(log.f64 (exp.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) x) y x)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) x) y x))))
(log.f64 (*.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) x) y)))))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 x)) (pow.f64 (exp.f64 (/.f64 #s(literal 1/2 binary64) x)) y)))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 x)) (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) x) y)))))
(log.f64 (*.f64 (pow.f64 (exp.f64 (/.f64 #s(literal 1/2 binary64) x)) y) (+.f64 #s(literal 1 binary64) (expm1.f64 x))))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) x) y))) (exp.f64 x)))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) x) y))) (+.f64 #s(literal 1 binary64) (expm1.f64 x))))
(cbrt.f64 (pow.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) x) y x) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) x) y x)))
(log1p.f64 (expm1.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) x) y x)))
(exp.f64 (log.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) x) y x)))
(exp.f64 (*.f64 (log.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) x) y x)) #s(literal 1 binary64)))
(fma.f64 #s(literal 1/2 binary64) (/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) y)) x)
(fma.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (/.f64 x y)) x)
(fma.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) x) y) x)
(fma.f64 x #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1/2 binary64) x) y))
(fma.f64 (/.f64 #s(literal 1/2 binary64) x) y x)
(fma.f64 #s(literal 1 binary64) x (*.f64 (/.f64 #s(literal 1/2 binary64) x) y))
(fma.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1/2 binary64) x) y) x)
(fma.f64 y (/.f64 #s(literal 1/2 binary64) x) x)
(fma.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) x) y) #s(literal 1 binary64) x)
(fma.f64 (cbrt.f64 (/.f64 #s(literal 1/4 binary64) (pow.f64 x #s(literal 2 binary64)))) (/.f64 (cbrt.f64 (/.f64 #s(literal 1/2 binary64) x)) (/.f64 #s(literal 1 binary64) y)) x)
(fma.f64 (cbrt.f64 (/.f64 #s(literal 1/4 binary64) (pow.f64 x #s(literal 2 binary64)))) (*.f64 (cbrt.f64 (/.f64 #s(literal 1/2 binary64) x)) y) x)
(fma.f64 (cbrt.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) x) y)) (pow.f64 (cbrt.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) x) y)) #s(literal 2 binary64)) x)
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) x) y)) #s(literal 2 binary64)) (cbrt.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) x) y)) x)
(fma.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (*.f64 (/.f64 #s(literal 1/2 binary64) x) y))
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (cbrt.f64 x) (*.f64 (/.f64 #s(literal 1/2 binary64) x) y))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1/2 binary64) x)) (/.f64 (sqrt.f64 (/.f64 #s(literal 1/2 binary64) x)) (/.f64 #s(literal 1 binary64) y)) x)
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1/2 binary64) x)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1/2 binary64) x)) y) x)
(fma.f64 (sqrt.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) x) y)) (sqrt.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) x) y)) x)
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 (/.f64 #s(literal 1/2 binary64) x) y))
(fma.f64 (/.f64 #s(literal -1/2 binary64) x) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) y)) x)
(fma.f64 (/.f64 #s(literal 1/2 binary64) (cbrt.f64 (pow.f64 y #s(literal -2 binary64)))) (/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (cbrt.f64 y))) x)
(fma.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 y #s(literal -1/2 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) x) (pow.f64 y #s(literal -1/2 binary64))) x)
(fma.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 (pow.f64 y #s(literal -2 binary64)))) (/.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1 binary64) (cbrt.f64 y))) x)
(fma.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal -1/2 binary64))) (/.f64 (/.f64 #s(literal 1/2 binary64) x) (pow.f64 y #s(literal -1/2 binary64))) x)
(fma.f64 (/.f64 (cbrt.f64 (/.f64 #s(literal 1/4 binary64) (pow.f64 x #s(literal 2 binary64)))) #s(literal 1 binary64)) (/.f64 (cbrt.f64 (/.f64 #s(literal 1/2 binary64) x)) (/.f64 #s(literal 1 binary64) y)) x)
(fma.f64 (/.f64 (cbrt.f64 (/.f64 #s(literal 1/4 binary64) (pow.f64 x #s(literal 2 binary64)))) (cbrt.f64 (pow.f64 y #s(literal -2 binary64)))) (cbrt.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) x) y)) x)
(fma.f64 (/.f64 (cbrt.f64 (/.f64 #s(literal 1/4 binary64) (pow.f64 x #s(literal 2 binary64)))) (pow.f64 y #s(literal -1/2 binary64))) (/.f64 (cbrt.f64 (/.f64 #s(literal 1/2 binary64) x)) (pow.f64 y #s(literal -1/2 binary64))) x)
(fma.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1/2 binary64) x)) #s(literal 1 binary64)) (/.f64 (sqrt.f64 (/.f64 #s(literal 1/2 binary64) x)) (/.f64 #s(literal 1 binary64) y)) x)
(fma.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1/2 binary64) x)) (cbrt.f64 (pow.f64 y #s(literal -2 binary64)))) (/.f64 (sqrt.f64 (/.f64 #s(literal 1/2 binary64) x)) (/.f64 #s(literal 1 binary64) (cbrt.f64 y))) x)
(fma.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) x) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (cbrt.f64 y) x)
(fma.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) x) (sqrt.f64 y)) (sqrt.f64 y) x)
(fma.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal -1 binary64)) (neg.f64 y) x)

simplify134.0ms (3.1%)

Algorithm
egg-herbie
Rules
544×fma-define
470×associate-/r*
449×exp-prod
349×associate-/l*
284×*-commutative
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
02966258
16745848
219944875
373454875
Stop Event
node limit
Counts
184 → 176
Calls
Call 1
Inputs
(*.f64 #s(literal 1/2 binary64) (/.f64 y x))
(*.f64 #s(literal 1/2 binary64) (/.f64 y x))
(*.f64 #s(literal 1/2 binary64) (/.f64 y x))
(*.f64 #s(literal 1/2 binary64) (/.f64 y x))
(*.f64 #s(literal 1/2 binary64) (/.f64 y x))
(*.f64 #s(literal 1/2 binary64) (/.f64 y x))
(*.f64 #s(literal 1/2 binary64) (/.f64 y x))
(*.f64 #s(literal 1/2 binary64) (/.f64 y x))
(*.f64 #s(literal 1/2 binary64) (/.f64 y x))
(*.f64 #s(literal 1/2 binary64) (/.f64 y x))
(*.f64 #s(literal 1/2 binary64) (/.f64 y x))
(*.f64 #s(literal 1/2 binary64) (/.f64 y x))
(*.f64 #s(literal 1/2 binary64) (/.f64 y x))
(*.f64 #s(literal 1/2 binary64) (/.f64 y x))
(*.f64 #s(literal 1/2 binary64) (/.f64 y x))
(*.f64 #s(literal 1/2 binary64) (/.f64 y x))
(*.f64 #s(literal 1/2 binary64) (/.f64 y x))
(*.f64 #s(literal 1/2 binary64) (/.f64 y x))
(*.f64 #s(literal 1/2 binary64) (/.f64 y x))
(*.f64 #s(literal 1/2 binary64) (/.f64 y x))
(*.f64 #s(literal 1/2 binary64) (/.f64 y x))
(*.f64 #s(literal 1/2 binary64) (/.f64 y x))
(*.f64 #s(literal 1/2 binary64) (/.f64 y x))
(*.f64 #s(literal 1/2 binary64) (/.f64 y x))
(*.f64 #s(literal 1/2 binary64) (/.f64 y x))
(/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) y) (pow.f64 x #s(literal 2 binary64))) x)
(/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) y) (pow.f64 x #s(literal 2 binary64))) x)
(/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) y) (pow.f64 x #s(literal 2 binary64))) x)
x
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 y (pow.f64 x #s(literal 2 binary64))))))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 y (pow.f64 x #s(literal 2 binary64))))))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 y (pow.f64 x #s(literal 2 binary64))))))
x
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 y (pow.f64 x #s(literal 2 binary64)))) #s(literal 1 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 y (pow.f64 x #s(literal 2 binary64)))) #s(literal 1 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 y (pow.f64 x #s(literal 2 binary64)))) #s(literal 1 binary64))))
x
(+.f64 x (*.f64 #s(literal 1/2 binary64) (/.f64 y x)))
(+.f64 x (*.f64 #s(literal 1/2 binary64) (/.f64 y x)))
(+.f64 x (*.f64 #s(literal 1/2 binary64) (/.f64 y x)))
(*.f64 #s(literal 1/2 binary64) (/.f64 y x))
(*.f64 y (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) (/.f64 x y)))
(*.f64 y (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) (/.f64 x y)))
(*.f64 y (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) (/.f64 x y)))
(*.f64 #s(literal 1/2 binary64) (/.f64 y x))
(*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x y)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))))
(*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x y)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))))
(*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x y)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) x) y))) #s(literal 1 binary64))
(*.f64 #s(literal 1/2 binary64) (/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) y)))
(*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (/.f64 x y)))
(*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) x) y))
(*.f64 (/.f64 #s(literal 1/2 binary64) x) y)
(*.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1/2 binary64) x) y))
(*.f64 y (/.f64 #s(literal 1/2 binary64) x))
(*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) x) y) #s(literal 1 binary64))
(*.f64 (cbrt.f64 (/.f64 #s(literal 1/4 binary64) (pow.f64 x #s(literal 2 binary64)))) (/.f64 (cbrt.f64 (/.f64 #s(literal 1/2 binary64) x)) (/.f64 #s(literal 1 binary64) y)))
(*.f64 (cbrt.f64 (/.f64 #s(literal 1/4 binary64) (pow.f64 x #s(literal 2 binary64)))) (*.f64 (cbrt.f64 (/.f64 #s(literal 1/2 binary64) x)) y))
(*.f64 (cbrt.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) x) y)) (pow.f64 (cbrt.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) x) y)) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) x) y)) #s(literal 2 binary64)) (cbrt.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) x) y)))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1/2 binary64) x)) (/.f64 (sqrt.f64 (/.f64 #s(literal 1/2 binary64) x)) (/.f64 #s(literal 1 binary64) y)))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1/2 binary64) x)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1/2 binary64) x)) y))
(*.f64 (sqrt.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) x) y)) (sqrt.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) x) y)))
(*.f64 (/.f64 #s(literal -1/2 binary64) x) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) y)))
(*.f64 (/.f64 #s(literal 1/2 binary64) (cbrt.f64 (pow.f64 y #s(literal -2 binary64)))) (/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (cbrt.f64 y))))
(*.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 y #s(literal -1/2 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) x) (pow.f64 y #s(literal -1/2 binary64))))
(*.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 (pow.f64 y #s(literal -2 binary64)))) (/.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1 binary64) (cbrt.f64 y))))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal -1/2 binary64))) (/.f64 (/.f64 #s(literal 1/2 binary64) x) (pow.f64 y #s(literal -1/2 binary64))))
(*.f64 (/.f64 (cbrt.f64 (/.f64 #s(literal 1/4 binary64) (pow.f64 x #s(literal 2 binary64)))) #s(literal 1 binary64)) (/.f64 (cbrt.f64 (/.f64 #s(literal 1/2 binary64) x)) (/.f64 #s(literal 1 binary64) y)))
(*.f64 (/.f64 (cbrt.f64 (/.f64 #s(literal 1/4 binary64) (pow.f64 x #s(literal 2 binary64)))) (cbrt.f64 (pow.f64 y #s(literal -2 binary64)))) (cbrt.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) x) y)))
(*.f64 (/.f64 (cbrt.f64 (/.f64 #s(literal 1/4 binary64) (pow.f64 x #s(literal 2 binary64)))) (pow.f64 y #s(literal -1/2 binary64))) (/.f64 (cbrt.f64 (/.f64 #s(literal 1/2 binary64) x)) (pow.f64 y #s(literal -1/2 binary64))))
(*.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1/2 binary64) x)) #s(literal 1 binary64)) (/.f64 (sqrt.f64 (/.f64 #s(literal 1/2 binary64) x)) (/.f64 #s(literal 1 binary64) y)))
(*.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1/2 binary64) x)) (cbrt.f64 (pow.f64 y #s(literal -2 binary64)))) (/.f64 (sqrt.f64 (/.f64 #s(literal 1/2 binary64) x)) (/.f64 #s(literal 1 binary64) (cbrt.f64 y))))
(*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) x) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (cbrt.f64 y))
(*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) x) (sqrt.f64 y)) (sqrt.f64 y))
(*.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal -1 binary64)) (neg.f64 y))
(pow.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) x) y) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) x) y)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) x) y) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) x) y)) #s(literal 2 binary64))
(pow.f64 (*.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 x #s(literal 2 binary64))) #s(literal -1 binary64))
(neg.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal -1 binary64) y)))
(neg.f64 (/.f64 (/.f64 #s(literal -1/2 binary64) x) (/.f64 #s(literal 1 binary64) y)))
(sqrt.f64 (pow.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) x) y) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 (/.f64 #s(literal 1/2 binary64) x)) y))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) x) y))))
(cbrt.f64 (pow.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) x) y) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) x) y)))
(log1p.f64 (expm1.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) x) y)))
(exp.f64 (log.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) x) y)))
(exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) x) y)) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 #s(literal 1 binary64) y))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y))
(*.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) y))
(*.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 y)) (cbrt.f64 (pow.f64 y #s(literal -2 binary64))))
(*.f64 (cbrt.f64 (pow.f64 y #s(literal -2 binary64))) (/.f64 #s(literal 1 binary64) (cbrt.f64 y)))
(*.f64 (pow.f64 y #s(literal -1/2 binary64)) (pow.f64 y #s(literal -1/2 binary64)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) #s(literal -1 binary64)) (pow.f64 (cbrt.f64 y) #s(literal -1 binary64)))
(*.f64 (pow.f64 (sqrt.f64 y) #s(literal -1 binary64)) (pow.f64 (sqrt.f64 y) #s(literal -1 binary64)))
(pow.f64 y #s(literal -1 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 y)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (pow.f64 y #s(literal -1/2 binary64)) #s(literal 2 binary64))
(neg.f64 (/.f64 #s(literal -1 binary64) y))
(sqrt.f64 (pow.f64 y #s(literal -2 binary64)))
(log.f64 (exp.f64 (/.f64 #s(literal 1 binary64) y)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 #s(literal 1 binary64) y))))
(cbrt.f64 (pow.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (/.f64 #s(literal 1 binary64) y)))
(log1p.f64 (expm1.f64 (/.f64 #s(literal 1 binary64) y)))
(exp.f64 (neg.f64 (log.f64 y)))
(exp.f64 (*.f64 (log.f64 y) #s(literal -1 binary64)))
(exp.f64 (*.f64 (neg.f64 (log.f64 y)) #s(literal 1 binary64)))
(-.f64 x (/.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal -1 binary64) y)))
(-.f64 x (/.f64 (/.f64 #s(literal -1/2 binary64) x) (/.f64 #s(literal 1 binary64) y)))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) x) y x))) #s(literal 1 binary64))
(-.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 x (*.f64 (/.f64 #s(literal -1/2 binary64) x) y))) (/.f64 (pow.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) x) y) #s(literal 2 binary64)) (+.f64 x (*.f64 (/.f64 #s(literal -1/2 binary64) x) y))))
(*.f64 #s(literal 1 binary64) (fma.f64 (/.f64 #s(literal 1/2 binary64) x) y x))
(*.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) x) y x) #s(literal 1 binary64))
(*.f64 (cbrt.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) x) y x)) (pow.f64 (cbrt.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) x) y x)) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) x) y x)) #s(literal 2 binary64)) (cbrt.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) x) y x)))
(*.f64 (sqrt.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) x) y x)) (sqrt.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) x) y x)))
(*.f64 (+.f64 (pow.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) x) y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) x) y) (fma.f64 (/.f64 #s(literal 1/2 binary64) x) y (neg.f64 x)) (pow.f64 x #s(literal 2 binary64)))))
(*.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) x) y) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 x (*.f64 (/.f64 #s(literal -1/2 binary64) x) y))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) x) y) (fma.f64 (/.f64 #s(literal 1/2 binary64) x) y (neg.f64 x)) (pow.f64 x #s(literal 2 binary64))) (+.f64 (pow.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) x) y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 x (*.f64 (/.f64 #s(literal -1/2 binary64) x) y)) (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) x) y) #s(literal 2 binary64)))))
(/.f64 (+.f64 (pow.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) x) y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) x) y) (fma.f64 (/.f64 #s(literal 1/2 binary64) x) y (neg.f64 x)) (pow.f64 x #s(literal 2 binary64))))
(/.f64 (+.f64 (pow.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) x) y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) x) y) #s(literal 2 binary64)) (-.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 x (*.f64 (/.f64 #s(literal 1/2 binary64) x) y)))))
(/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) x) y) #s(literal 2 binary64))) (+.f64 x (*.f64 (/.f64 #s(literal -1/2 binary64) x) y)))
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) x) y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (fma.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) x) y) (fma.f64 (/.f64 #s(literal 1/2 binary64) x) y (neg.f64 x)) (pow.f64 x #s(literal 2 binary64)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) x) y) #s(literal 2 binary64)))) (neg.f64 (+.f64 x (*.f64 (/.f64 #s(literal -1/2 binary64) x) y))))
(/.f64 (-.f64 (pow.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) x) y) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) (fma.f64 (/.f64 #s(literal 1/2 binary64) x) y (neg.f64 x)))
(pow.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) x) y x) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) x) y x)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) x) y x) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) x) y x)) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) x) y x) #s(literal 2 binary64)))
(log.f64 (exp.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) x) y x)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) x) y x))))
(log.f64 (*.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) x) y)))))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 x)) (pow.f64 (exp.f64 (/.f64 #s(literal 1/2 binary64) x)) y)))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 x)) (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) x) y)))))
(log.f64 (*.f64 (pow.f64 (exp.f64 (/.f64 #s(literal 1/2 binary64) x)) y) (+.f64 #s(literal 1 binary64) (expm1.f64 x))))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) x) y))) (exp.f64 x)))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) x) y))) (+.f64 #s(literal 1 binary64) (expm1.f64 x))))
(cbrt.f64 (pow.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) x) y x) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) x) y x)))
(log1p.f64 (expm1.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) x) y x)))
(exp.f64 (log.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) x) y x)))
(exp.f64 (*.f64 (log.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) x) y x)) #s(literal 1 binary64)))
(fma.f64 #s(literal 1/2 binary64) (/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) y)) x)
(fma.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (/.f64 x y)) x)
(fma.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) x) y) x)
(fma.f64 x #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1/2 binary64) x) y))
(fma.f64 (/.f64 #s(literal 1/2 binary64) x) y x)
(fma.f64 #s(literal 1 binary64) x (*.f64 (/.f64 #s(literal 1/2 binary64) x) y))
(fma.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1/2 binary64) x) y) x)
(fma.f64 y (/.f64 #s(literal 1/2 binary64) x) x)
(fma.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) x) y) #s(literal 1 binary64) x)
(fma.f64 (cbrt.f64 (/.f64 #s(literal 1/4 binary64) (pow.f64 x #s(literal 2 binary64)))) (/.f64 (cbrt.f64 (/.f64 #s(literal 1/2 binary64) x)) (/.f64 #s(literal 1 binary64) y)) x)
(fma.f64 (cbrt.f64 (/.f64 #s(literal 1/4 binary64) (pow.f64 x #s(literal 2 binary64)))) (*.f64 (cbrt.f64 (/.f64 #s(literal 1/2 binary64) x)) y) x)
(fma.f64 (cbrt.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) x) y)) (pow.f64 (cbrt.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) x) y)) #s(literal 2 binary64)) x)
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) x) y)) #s(literal 2 binary64)) (cbrt.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) x) y)) x)
(fma.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (*.f64 (/.f64 #s(literal 1/2 binary64) x) y))
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (cbrt.f64 x) (*.f64 (/.f64 #s(literal 1/2 binary64) x) y))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1/2 binary64) x)) (/.f64 (sqrt.f64 (/.f64 #s(literal 1/2 binary64) x)) (/.f64 #s(literal 1 binary64) y)) x)
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1/2 binary64) x)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1/2 binary64) x)) y) x)
(fma.f64 (sqrt.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) x) y)) (sqrt.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) x) y)) x)
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 (/.f64 #s(literal 1/2 binary64) x) y))
(fma.f64 (/.f64 #s(literal -1/2 binary64) x) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) y)) x)
(fma.f64 (/.f64 #s(literal 1/2 binary64) (cbrt.f64 (pow.f64 y #s(literal -2 binary64)))) (/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (cbrt.f64 y))) x)
(fma.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 y #s(literal -1/2 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) x) (pow.f64 y #s(literal -1/2 binary64))) x)
(fma.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 (pow.f64 y #s(literal -2 binary64)))) (/.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1 binary64) (cbrt.f64 y))) x)
(fma.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal -1/2 binary64))) (/.f64 (/.f64 #s(literal 1/2 binary64) x) (pow.f64 y #s(literal -1/2 binary64))) x)
(fma.f64 (/.f64 (cbrt.f64 (/.f64 #s(literal 1/4 binary64) (pow.f64 x #s(literal 2 binary64)))) #s(literal 1 binary64)) (/.f64 (cbrt.f64 (/.f64 #s(literal 1/2 binary64) x)) (/.f64 #s(literal 1 binary64) y)) x)
(fma.f64 (/.f64 (cbrt.f64 (/.f64 #s(literal 1/4 binary64) (pow.f64 x #s(literal 2 binary64)))) (cbrt.f64 (pow.f64 y #s(literal -2 binary64)))) (cbrt.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) x) y)) x)
(fma.f64 (/.f64 (cbrt.f64 (/.f64 #s(literal 1/4 binary64) (pow.f64 x #s(literal 2 binary64)))) (pow.f64 y #s(literal -1/2 binary64))) (/.f64 (cbrt.f64 (/.f64 #s(literal 1/2 binary64) x)) (pow.f64 y #s(literal -1/2 binary64))) x)
(fma.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1/2 binary64) x)) #s(literal 1 binary64)) (/.f64 (sqrt.f64 (/.f64 #s(literal 1/2 binary64) x)) (/.f64 #s(literal 1 binary64) y)) x)
(fma.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1/2 binary64) x)) (cbrt.f64 (pow.f64 y #s(literal -2 binary64)))) (/.f64 (sqrt.f64 (/.f64 #s(literal 1/2 binary64) x)) (/.f64 #s(literal 1 binary64) (cbrt.f64 y))) x)
(fma.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) x) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (cbrt.f64 y) x)
(fma.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) x) (sqrt.f64 y)) (sqrt.f64 y) x)
(fma.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal -1 binary64)) (neg.f64 y) x)
Outputs
(*.f64 #s(literal 1/2 binary64) (/.f64 y x))
(*.f64 y (/.f64 #s(literal 1/2 binary64) x))
(/.f64 (*.f64 #s(literal 1/2 binary64) y) x)
(/.f64 y (*.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal 1/2 binary64) (/.f64 y x))
(*.f64 y (/.f64 #s(literal 1/2 binary64) x))
(/.f64 (*.f64 #s(literal 1/2 binary64) y) x)
(/.f64 y (*.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal 1/2 binary64) (/.f64 y x))
(*.f64 y (/.f64 #s(literal 1/2 binary64) x))
(/.f64 (*.f64 #s(literal 1/2 binary64) y) x)
(/.f64 y (*.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal 1/2 binary64) (/.f64 y x))
(*.f64 y (/.f64 #s(literal 1/2 binary64) x))
(/.f64 (*.f64 #s(literal 1/2 binary64) y) x)
(/.f64 y (*.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal 1/2 binary64) (/.f64 y x))
(*.f64 y (/.f64 #s(literal 1/2 binary64) x))
(/.f64 (*.f64 #s(literal 1/2 binary64) y) x)
(/.f64 y (*.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal 1/2 binary64) (/.f64 y x))
(*.f64 y (/.f64 #s(literal 1/2 binary64) x))
(/.f64 (*.f64 #s(literal 1/2 binary64) y) x)
(/.f64 y (*.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal 1/2 binary64) (/.f64 y x))
(*.f64 y (/.f64 #s(literal 1/2 binary64) x))
(/.f64 (*.f64 #s(literal 1/2 binary64) y) x)
(/.f64 y (*.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal 1/2 binary64) (/.f64 y x))
(*.f64 y (/.f64 #s(literal 1/2 binary64) x))
(/.f64 (*.f64 #s(literal 1/2 binary64) y) x)
(/.f64 y (*.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal 1/2 binary64) (/.f64 y x))
(*.f64 y (/.f64 #s(literal 1/2 binary64) x))
(/.f64 (*.f64 #s(literal 1/2 binary64) y) x)
(/.f64 y (*.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal 1/2 binary64) (/.f64 y x))
(*.f64 y (/.f64 #s(literal 1/2 binary64) x))
(/.f64 (*.f64 #s(literal 1/2 binary64) y) x)
(/.f64 y (*.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal 1/2 binary64) (/.f64 y x))
(*.f64 y (/.f64 #s(literal 1/2 binary64) x))
(/.f64 (*.f64 #s(literal 1/2 binary64) y) x)
(/.f64 y (*.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal 1/2 binary64) (/.f64 y x))
(*.f64 y (/.f64 #s(literal 1/2 binary64) x))
(/.f64 (*.f64 #s(literal 1/2 binary64) y) x)
(/.f64 y (*.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal 1/2 binary64) (/.f64 y x))
(*.f64 y (/.f64 #s(literal 1/2 binary64) x))
(/.f64 (*.f64 #s(literal 1/2 binary64) y) x)
(/.f64 y (*.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal 1/2 binary64) (/.f64 y x))
(*.f64 y (/.f64 #s(literal 1/2 binary64) x))
(/.f64 (*.f64 #s(literal 1/2 binary64) y) x)
(/.f64 y (*.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal 1/2 binary64) (/.f64 y x))
(*.f64 y (/.f64 #s(literal 1/2 binary64) x))
(/.f64 (*.f64 #s(literal 1/2 binary64) y) x)
(/.f64 y (*.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal 1/2 binary64) (/.f64 y x))
(*.f64 y (/.f64 #s(literal 1/2 binary64) x))
(/.f64 (*.f64 #s(literal 1/2 binary64) y) x)
(/.f64 y (*.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal 1/2 binary64) (/.f64 y x))
(*.f64 y (/.f64 #s(literal 1/2 binary64) x))
(/.f64 (*.f64 #s(literal 1/2 binary64) y) x)
(/.f64 y (*.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal 1/2 binary64) (/.f64 y x))
(*.f64 y (/.f64 #s(literal 1/2 binary64) x))
(/.f64 (*.f64 #s(literal 1/2 binary64) y) x)
(/.f64 y (*.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal 1/2 binary64) (/.f64 y x))
(*.f64 y (/.f64 #s(literal 1/2 binary64) x))
(/.f64 (*.f64 #s(literal 1/2 binary64) y) x)
(/.f64 y (*.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal 1/2 binary64) (/.f64 y x))
(*.f64 y (/.f64 #s(literal 1/2 binary64) x))
(/.f64 (*.f64 #s(literal 1/2 binary64) y) x)
(/.f64 y (*.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal 1/2 binary64) (/.f64 y x))
(*.f64 y (/.f64 #s(literal 1/2 binary64) x))
(/.f64 (*.f64 #s(literal 1/2 binary64) y) x)
(/.f64 y (*.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal 1/2 binary64) (/.f64 y x))
(*.f64 y (/.f64 #s(literal 1/2 binary64) x))
(/.f64 (*.f64 #s(literal 1/2 binary64) y) x)
(/.f64 y (*.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal 1/2 binary64) (/.f64 y x))
(*.f64 y (/.f64 #s(literal 1/2 binary64) x))
(/.f64 (*.f64 #s(literal 1/2 binary64) y) x)
(/.f64 y (*.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal 1/2 binary64) (/.f64 y x))
(*.f64 y (/.f64 #s(literal 1/2 binary64) x))
(/.f64 (*.f64 #s(literal 1/2 binary64) y) x)
(/.f64 y (*.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal 1/2 binary64) (/.f64 y x))
(*.f64 y (/.f64 #s(literal 1/2 binary64) x))
(/.f64 (*.f64 #s(literal 1/2 binary64) y) x)
(/.f64 y (*.f64 x #s(literal 2 binary64)))
(/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) y) (pow.f64 x #s(literal 2 binary64))) x)
(/.f64 (fma.f64 #s(literal 1/2 binary64) y (pow.f64 x #s(literal 2 binary64))) x)
(/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) y) (pow.f64 x #s(literal 2 binary64))) x)
(/.f64 (fma.f64 #s(literal 1/2 binary64) y (pow.f64 x #s(literal 2 binary64))) x)
(/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) y) (pow.f64 x #s(literal 2 binary64))) x)
(/.f64 (fma.f64 #s(literal 1/2 binary64) y (pow.f64 x #s(literal 2 binary64))) x)
x
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 y (pow.f64 x #s(literal 2 binary64))))))
(*.f64 x (fma.f64 #s(literal 1/2 binary64) (/.f64 y (pow.f64 x #s(literal 2 binary64))) #s(literal 1 binary64)))
(fma.f64 #s(literal 1/2 binary64) (/.f64 y x) x)
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 y (pow.f64 x #s(literal 2 binary64))))))
(*.f64 x (fma.f64 #s(literal 1/2 binary64) (/.f64 y (pow.f64 x #s(literal 2 binary64))) #s(literal 1 binary64)))
(fma.f64 #s(literal 1/2 binary64) (/.f64 y x) x)
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 y (pow.f64 x #s(literal 2 binary64))))))
(*.f64 x (fma.f64 #s(literal 1/2 binary64) (/.f64 y (pow.f64 x #s(literal 2 binary64))) #s(literal 1 binary64)))
(fma.f64 #s(literal 1/2 binary64) (/.f64 y x) x)
x
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 y (pow.f64 x #s(literal 2 binary64)))) #s(literal 1 binary64))))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 y (pow.f64 x #s(literal 2 binary64))))))
(*.f64 x (fma.f64 #s(literal 1/2 binary64) (/.f64 y (pow.f64 x #s(literal 2 binary64))) #s(literal 1 binary64)))
(fma.f64 #s(literal 1/2 binary64) (/.f64 y x) x)
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 y (pow.f64 x #s(literal 2 binary64)))) #s(literal 1 binary64))))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 y (pow.f64 x #s(literal 2 binary64))))))
(*.f64 x (fma.f64 #s(literal 1/2 binary64) (/.f64 y (pow.f64 x #s(literal 2 binary64))) #s(literal 1 binary64)))
(fma.f64 #s(literal 1/2 binary64) (/.f64 y x) x)
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 y (pow.f64 x #s(literal 2 binary64)))) #s(literal 1 binary64))))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 y (pow.f64 x #s(literal 2 binary64))))))
(*.f64 x (fma.f64 #s(literal 1/2 binary64) (/.f64 y (pow.f64 x #s(literal 2 binary64))) #s(literal 1 binary64)))
(fma.f64 #s(literal 1/2 binary64) (/.f64 y x) x)
x
(+.f64 x (*.f64 #s(literal 1/2 binary64) (/.f64 y x)))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 y (pow.f64 x #s(literal 2 binary64))))))
(*.f64 x (fma.f64 #s(literal 1/2 binary64) (/.f64 y (pow.f64 x #s(literal 2 binary64))) #s(literal 1 binary64)))
(fma.f64 #s(literal 1/2 binary64) (/.f64 y x) x)
(+.f64 x (*.f64 #s(literal 1/2 binary64) (/.f64 y x)))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 y (pow.f64 x #s(literal 2 binary64))))))
(*.f64 x (fma.f64 #s(literal 1/2 binary64) (/.f64 y (pow.f64 x #s(literal 2 binary64))) #s(literal 1 binary64)))
(fma.f64 #s(literal 1/2 binary64) (/.f64 y x) x)
(+.f64 x (*.f64 #s(literal 1/2 binary64) (/.f64 y x)))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 y (pow.f64 x #s(literal 2 binary64))))))
(*.f64 x (fma.f64 #s(literal 1/2 binary64) (/.f64 y (pow.f64 x #s(literal 2 binary64))) #s(literal 1 binary64)))
(fma.f64 #s(literal 1/2 binary64) (/.f64 y x) x)
(*.f64 #s(literal 1/2 binary64) (/.f64 y x))
(*.f64 y (/.f64 #s(literal 1/2 binary64) x))
(/.f64 (*.f64 #s(literal 1/2 binary64) y) x)
(/.f64 y (*.f64 x #s(literal 2 binary64)))
(*.f64 y (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) (/.f64 x y)))
(*.f64 y (+.f64 (/.f64 x y) (/.f64 #s(literal 1/2 binary64) x)))
(*.f64 y (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) (/.f64 x y)))
(*.f64 y (+.f64 (/.f64 x y) (/.f64 #s(literal 1/2 binary64) x)))
(*.f64 y (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) (/.f64 x y)))
(*.f64 y (+.f64 (/.f64 x y) (/.f64 #s(literal 1/2 binary64) x)))
(*.f64 #s(literal 1/2 binary64) (/.f64 y x))
(*.f64 y (/.f64 #s(literal 1/2 binary64) x))
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(fma.f64 #s(literal 1/2 binary64) (/.f64 y x) x)
(fma.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1/2 binary64) x)) (cbrt.f64 (pow.f64 y #s(literal -2 binary64)))) (/.f64 (sqrt.f64 (/.f64 #s(literal 1/2 binary64) x)) (/.f64 #s(literal 1 binary64) (cbrt.f64 y))) x)
(fma.f64 (/.f64 #s(literal 1/2 binary64) (cbrt.f64 (pow.f64 y #s(literal -2 binary64)))) (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) (cbrt.f64 y)) x)
(+.f64 x (*.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) x) (cbrt.f64 (pow.f64 y #s(literal -2 binary64)))) (cbrt.f64 y)))
(fma.f64 #s(literal 1/2 binary64) (/.f64 (cbrt.f64 y) (*.f64 (cbrt.f64 (pow.f64 y #s(literal -2 binary64))) x)) x)
(fma.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) x) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (cbrt.f64 y) x)
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 y (pow.f64 x #s(literal 2 binary64))))))
(*.f64 x (fma.f64 #s(literal 1/2 binary64) (/.f64 y (pow.f64 x #s(literal 2 binary64))) #s(literal 1 binary64)))
(fma.f64 #s(literal 1/2 binary64) (/.f64 y x) x)
(fma.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) x) (sqrt.f64 y)) (sqrt.f64 y) x)
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 y (pow.f64 x #s(literal 2 binary64))))))
(*.f64 x (fma.f64 #s(literal 1/2 binary64) (/.f64 y (pow.f64 x #s(literal 2 binary64))) #s(literal 1 binary64)))
(fma.f64 #s(literal 1/2 binary64) (/.f64 y x) x)
(fma.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal -1 binary64)) (neg.f64 y) x)
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 y (pow.f64 x #s(literal 2 binary64))))))
(*.f64 x (fma.f64 #s(literal 1/2 binary64) (/.f64 y (pow.f64 x #s(literal 2 binary64))) #s(literal 1 binary64)))
(fma.f64 #s(literal 1/2 binary64) (/.f64 y x) x)

eval26.0ms (0.6%)

Compiler

Compiled 2805 to 596 computations (78.8% saved)

prune153.0ms (3.6%)

Pruning

7 alts after pruning (1 fresh and 6 done)

PrunedKeptTotal
New2101211
Fresh000
Picked011
Done055
Total2107217
Accuracy
100.0%
Counts
217 → 7
Alt Table
Click to see full alt table
StatusAccuracyProgram
68.5%
(+.f64 x (/.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1 binary64) y)))
68.5%
(+.f64 x (/.f64 (*.f64 #s(literal 1/2 binary64) y) x))
68.5%
(+.f64 x (/.f64 #s(literal 1/2 binary64) (/.f64 x y)))
68.5%
(+.f64 x (*.f64 (/.f64 #s(literal -1/2 binary64) x) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) y))))
68.5%
(+.f64 x (*.f64 y (/.f64 #s(literal 1/2 binary64) x)))
34.8%
(sqrt.f64 y)
68.2%
x
Compiler

Compiled 110 to 68 computations (38.2% saved)

regimes17.0ms (0.4%)

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

5 calls:

4.0ms
(+.f64 (*.f64 x x) y)
3.0ms
y
3.0ms
x
3.0ms
(sqrt.f64 (+.f64 (*.f64 x x) y))
3.0ms
(*.f64 x x)
Results
AccuracySegmentsBranch
100.0%2x
86.6%2y
100.0%2(sqrt.f64 (+.f64 (*.f64 x x) y))
100.0%2(+.f64 (*.f64 x x) y)
100.0%2(*.f64 x x)
Compiler

Compiled 26 to 16 computations (38.5% saved)

regimes3.0ms (0.1%)

Counts
7 → 2
Calls
Call 1
Inputs
x
(+.f64 x (*.f64 y (/.f64 #s(literal 1/2 binary64) x)))
(+.f64 x (/.f64 #s(literal 1/2 binary64) (/.f64 x y)))
(+.f64 x (/.f64 (*.f64 #s(literal 1/2 binary64) y) x))
(+.f64 x (/.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1 binary64) y)))
(+.f64 x (*.f64 (/.f64 #s(literal -1/2 binary64) x) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) y))))
(sqrt.f64 y)
Outputs
(sqrt.f64 y)
(+.f64 x (*.f64 y (/.f64 #s(literal 1/2 binary64) x)))
Calls

1 calls:

3.0ms
x
Results
AccuracySegmentsBranch
90.4%2x
Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes7.0ms (0.2%)

Counts
6 → 1
Calls
Call 1
Inputs
x
(+.f64 x (*.f64 y (/.f64 #s(literal 1/2 binary64) x)))
(+.f64 x (/.f64 #s(literal 1/2 binary64) (/.f64 x y)))
(+.f64 x (/.f64 (*.f64 #s(literal 1/2 binary64) y) x))
(+.f64 x (/.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1 binary64) y)))
(+.f64 x (*.f64 (/.f64 #s(literal -1/2 binary64) x) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) y))))
Outputs
(+.f64 x (*.f64 y (/.f64 #s(literal 1/2 binary64) x)))
Calls

2 calls:

4.0ms
x
3.0ms
y
Results
AccuracySegmentsBranch
68.5%1y
68.5%1x
Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes3.0ms (0.1%)

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts
1 → 1
Calls
Call 1
Inputs
x
Outputs
x
Calls

2 calls:

1.0ms
y
1.0ms
x
Results
AccuracySegmentsBranch
68.2%1x
68.2%1y
Compiler

Compiled 6 to 4 computations (33.3% saved)

bsearch0.0ms (0%)

Algorithm
left-value
Steps
TimeLeftRight
0.0ms
6.034206785780222e+238
1.0269453439813894e+241
Compiler

Compiled 11 to 10 computations (9.1% saved)

bsearch15.0ms (0.4%)

Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
14.0ms
7.27578675116716e-45
1.3751502647504923e-43
Results
5.0ms112×0valid
5.0ms24×0invalid
Compiler

Compiled 116 to 87 computations (25% saved)

Precisions
Click to see histograms. Total time spent on operations: 7.0ms
ival-sqrt: 5.0ms (76.3% of total)
ival-add: 1.0ms (15.3% of total)
ival-mult: 1.0ms (15.3% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

simplify3.0ms (0.1%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
025131
128131
Stop Event
saturated
Calls
Call 1
Inputs
(if (<=.f64 (*.f64 x x) #s(literal 99999999999999999081179145438220670296706622164632687453780292502155740721970192601122065475966761298087599260657287627887017431169472094235452683230716826407562484594165232135299736843791138087983021771402091458056119576436948334022754304 binary64)) (sqrt.f64 (+.f64 (*.f64 x x) y)) x)
(if (<=.f64 x #s(literal 1041998888074189/12554203470773361527671578846415332832204710888928069025792 binary64)) (sqrt.f64 y) (+.f64 x (*.f64 y (/.f64 #s(literal 1/2 binary64) x))))
(+.f64 x (*.f64 y (/.f64 #s(literal 1/2 binary64) x)))
x
Outputs
(if (<=.f64 (*.f64 x x) #s(literal 99999999999999999081179145438220670296706622164632687453780292502155740721970192601122065475966761298087599260657287627887017431169472094235452683230716826407562484594165232135299736843791138087983021771402091458056119576436948334022754304 binary64)) (sqrt.f64 (+.f64 (*.f64 x x) y)) x)
(if (<=.f64 x #s(literal 1041998888074189/12554203470773361527671578846415332832204710888928069025792 binary64)) (sqrt.f64 y) (+.f64 x (*.f64 y (/.f64 #s(literal 1/2 binary64) x))))
(+.f64 x (*.f64 y (/.f64 #s(literal 1/2 binary64) x)))
x

soundness415.0ms (9.6%)

Rules
489×distribute-lft-in
464×fmm-def
456×distribute-rgt-in
421×cancel-sign-sub-inv
369×associate-*r/
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
03456722
17075972
222485101
378505101
04416351
19666219
227036195
365566192
Stop Event
fuel
node limit
node limit
Compiler

Compiled 82 to 39 computations (52.4% saved)

preprocess45.0ms (1.1%)

Compiler

Compiled 210 to 106 computations (49.5% saved)

end0.0ms (0%)

Profiling

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