Optimisation.CirclePacking:place from circle-packing-0.1.0.4, C

Time bar (total: 6.3s)

analyze767.0ms (12.2%)

Algorithm
1×search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%99.9%0.1%0%0%0%0
0%0%99.9%0.1%0%0%0%1
0%0%99.9%0.1%0%0%0%2
0%0%99.9%0.1%0%0%0%3
0%0%99.9%0.1%0%0%0%4
0%0%99.9%0.1%0%0%0%5
0%0%99.9%0.1%0%0%0%6
0%0%99.9%0.1%0%0%0%7
0%0%99.9%0.1%0%0%0%8
0%0%99.9%0.1%0%0%0%9
0%0%99.9%0.1%0%0%0%10
0%0%99.9%0.1%0%0%0%11
0%0%99.9%0.1%0%0%0%12
Compiler

Compiled 7 to 7 computations (0% saved)

sample1.1s (17.3%)

Results
781.0ms8256×0valid
Precisions
Click to see histograms. Total time spent on operations: 386.0ms
ival-sqrt: 223.0ms (57.7% of total)
ival-sub: 97.0ms (25.1% of total)
ival-fabs: 56.0ms (14.5% of total)
ival-true: 6.0ms (1.6% of total)
ival-assert: 5.0ms (1.3% of total)
Bogosity

preprocess188.0ms (3%)

Algorithm
1×egg-herbie
Rules
60×fmm-def
21×sub-neg
14×fma-define
11×distribute-lft-neg-in
11×cancel-sign-sub-inv
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
024171
143155
285155
3172155
4242155
5273155
6279155
Stop Event
1×saturated
Calls
Call 1
Inputs
(sqrt.f64 (fabs.f64 (-.f64 x y)))
(sqrt.f64 (fabs.f64 (-.f64 x y)))
(sqrt.f64 (fabs.f64 (-.f64 (neg.f64 x) y)))
(sqrt.f64 (fabs.f64 (-.f64 x (neg.f64 y))))
(neg.f64 (sqrt.f64 (fabs.f64 (-.f64 (neg.f64 x) y))))
(neg.f64 (sqrt.f64 (fabs.f64 (-.f64 x (neg.f64 y)))))
(sqrt.f64 (fabs.f64 (-.f64 y x)))
Outputs
(sqrt.f64 (fabs.f64 (-.f64 x y)))
(sqrt.f64 (fabs.f64 (-.f64 y x)))
(sqrt.f64 (fabs.f64 (-.f64 x y)))
(sqrt.f64 (fabs.f64 (-.f64 y x)))
(sqrt.f64 (fabs.f64 (-.f64 (neg.f64 x) y)))
(sqrt.f64 (fabs.f64 (+.f64 x y)))
(sqrt.f64 (fabs.f64 (-.f64 x (neg.f64 y))))
(sqrt.f64 (fabs.f64 (-.f64 (neg.f64 x) y)))
(sqrt.f64 (fabs.f64 (+.f64 x y)))
(neg.f64 (sqrt.f64 (fabs.f64 (-.f64 (neg.f64 x) y))))
(neg.f64 (sqrt.f64 (fabs.f64 (+.f64 x y))))
(neg.f64 (sqrt.f64 (fabs.f64 (-.f64 x (neg.f64 y)))))
(neg.f64 (sqrt.f64 (fabs.f64 (-.f64 (neg.f64 x) y))))
(neg.f64 (sqrt.f64 (fabs.f64 (+.f64 x y))))
(sqrt.f64 (fabs.f64 (-.f64 y x)))
Symmetry

(sort x y)

explain51.0ms (0.8%)

FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
00-0-y
00-0-(fabs.f64 (-.f64 x y))
00-0-(-.f64 x y)
00-0-(sqrt.f64 (fabs.f64 (-.f64 x y)))
00-0-x
Confusion
Predicted +Predicted -
+00
-0256
Precision
0/0
Recall
0/0
Confusion?
Predicted +Predicted MaybePredicted -
+000
-00256
Precision?
0/0
Recall?
0/0
Freqs
test
numberfreq
0256
Total Confusion?
Predicted +Predicted MaybePredicted -
+000
-001
Precision?
0/0
Recall?
0/0
Results
26.0ms512×0valid
Compiler

Compiled 46 to 24 computations (47.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 13.0ms
ival-sub: 5.0ms (39.3% of total)
ival-sqrt: 4.0ms (31.5% of total)
ival-fabs: 3.0ms (23.6% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

eval138.0ms (2.2%)

Compiler

Compiled 7 to 5 computations (28.6% saved)

prune1.0ms (0%)

Alt Table
Click to see full alt table
StatusAccuracyProgram
▶100.0%
(sqrt.f64 (fabs.f64 (-.f64 y x)))
Compiler

Compiled 7 to 5 computations (28.6% saved)

simplify13.0ms (0.2%)

Algorithm
1×egg-herbie
Localize:

Found 3 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(-.f64 y x)
✓cost-diff0
(fabs.f64 (-.f64 y x))
✓cost-diff0
(sqrt.f64 (fabs.f64 (-.f64 y x)))
Rules
39×fmm-def
17×fma-define
16×sub-neg
13×associate--r+
10×cancel-sign-sub-inv
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01159
11559
22259
33259
45359
510559
617559
721159
823459
923959
Stop Event
1×saturated
Calls
Call 1
Inputs
(sqrt.f64 (fabs.f64 (-.f64 y x)))
(fabs.f64 (-.f64 y x))
(-.f64 y x)
y
x
Outputs
(sqrt.f64 (fabs.f64 (-.f64 y x)))
(fabs.f64 (-.f64 y x))
(-.f64 y x)
y
x

localize18.0ms (0.3%)

Localize:

Found 3 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(-.f64 y x)
✓accuracy100.0%
(fabs.f64 (-.f64 y x))
✓accuracy100.0%
(sqrt.f64 (fabs.f64 (-.f64 y x)))
Results
12.0ms256×0valid
Compiler

Compiled 16 to 7 computations (56.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 5.0ms
ival-sub: 2.0ms (41% of total)
ival-sqrt: 2.0ms (41% of total)
ival-fabs: 1.0ms (20.5% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series4.0ms (0.1%)

Counts
3 → 37
Calls
Call 1
Inputs
#<alt (sqrt.f64 (fabs.f64 (-.f64 y x)))>
#<alt (fabs.f64 (-.f64 y x))>
#<alt (-.f64 y x)>
Outputs
#<alt (sqrt.f64 (fabs.f64 (neg.f64 (+.f64 x (*.f64 #s(literal -1 binary64) y)))))>
#<alt (sqrt.f64 (fabs.f64 (neg.f64 (+.f64 x (*.f64 #s(literal -1 binary64) y)))))>
#<alt (sqrt.f64 (fabs.f64 (neg.f64 (+.f64 x (*.f64 #s(literal -1 binary64) y)))))>
#<alt (sqrt.f64 (fabs.f64 (neg.f64 (+.f64 x (*.f64 #s(literal -1 binary64) y)))))>
#<alt (sqrt.f64 (fabs.f64 (+.f64 y (*.f64 #s(literal -1 binary64) x))))>
#<alt (sqrt.f64 (fabs.f64 (+.f64 y (*.f64 #s(literal -1 binary64) x))))>
#<alt (sqrt.f64 (fabs.f64 (+.f64 y (*.f64 #s(literal -1 binary64) x))))>
#<alt (sqrt.f64 (fabs.f64 (+.f64 y (*.f64 #s(literal -1 binary64) x))))>
#<alt (fabs.f64 (neg.f64 (+.f64 x (*.f64 #s(literal -1 binary64) y))))>
#<alt (fabs.f64 (neg.f64 (+.f64 x (*.f64 #s(literal -1 binary64) y))))>
#<alt (fabs.f64 (neg.f64 (+.f64 x (*.f64 #s(literal -1 binary64) y))))>
#<alt (fabs.f64 (neg.f64 (+.f64 x (*.f64 #s(literal -1 binary64) y))))>
#<alt (fabs.f64 (+.f64 y (*.f64 #s(literal -1 binary64) x)))>
#<alt (fabs.f64 (+.f64 y (*.f64 #s(literal -1 binary64) x)))>
#<alt (fabs.f64 (+.f64 y (*.f64 #s(literal -1 binary64) x)))>
#<alt (fabs.f64 (+.f64 y (*.f64 #s(literal -1 binary64) x)))>
#<alt (*.f64 #s(literal -1 binary64) x)>
#<alt y>
#<alt (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 x y))))>
#<alt (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 x y))))>
#<alt (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 x y))))>
#<alt y>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (/.f64 x y) #s(literal 1 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (/.f64 x y) #s(literal 1 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (/.f64 x y) #s(literal 1 binary64))))>
#<alt y>
#<alt (+.f64 y (*.f64 #s(literal -1 binary64) x))>
#<alt (+.f64 y (*.f64 #s(literal -1 binary64) x))>
#<alt (+.f64 y (*.f64 #s(literal -1 binary64) x))>
#<alt (*.f64 #s(literal -1 binary64) x)>
#<alt (*.f64 x (-.f64 (/.f64 y x) #s(literal 1 binary64)))>
#<alt (*.f64 x (-.f64 (/.f64 y x) #s(literal 1 binary64)))>
#<alt (*.f64 x (-.f64 (/.f64 y x) #s(literal 1 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 binary64) (/.f64 y x)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 y x)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 y x)))))>
Calls

18 calls:

TimeVariablePointExpression
0.0ms
y
@0
(sqrt (fabs (- y x)))
0.0ms
x
@inf
(sqrt (fabs (- y x)))
0.0ms
y
@-inf
(sqrt (fabs (- y x)))
0.0ms
x
@-inf
(sqrt (fabs (- y x)))
0.0ms
y
@inf
(sqrt (fabs (- y x)))

rewrite289.0ms (4.6%)

Algorithm
1×batch-egg-rewrite
Rules
566×prod-diff
518×log1p-expm1-u
518×expm1-log1p-u
441×pow1
422×unpow-prod-down
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01155
112043
2162543
Stop Event
1×node limit
Counts
3 → 420
Calls
Call 1
Inputs
(sqrt.f64 (fabs.f64 (-.f64 y x)))
(fabs.f64 (-.f64 y x))
(-.f64 y x)
Outputs
(+.f64 #s(literal 0 binary64) (sqrt.f64 (-.f64 y x)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (-.f64 y x)))) #s(literal 2 binary64))) (log.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (-.f64 y x))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (-.f64 y x))))) (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (-.f64 y x))))))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (-.f64 y x)))) #s(literal 1 binary64))
(*.f64 (sqrt.f64 (-.f64 y x)) #s(literal 1 binary64))
(*.f64 (sqrt.f64 (-.f64 y x)) (log.f64 (exp.f64 #s(literal 1 binary64))))
(*.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 y x)))
(*.f64 (pow.f64 (-.f64 y x) #s(literal 1/6 binary64)) (cbrt.f64 (-.f64 y x)))
(*.f64 (cbrt.f64 (-.f64 y x)) (pow.f64 (-.f64 y x) #s(literal 1/6 binary64)))
(*.f64 (pow.f64 (-.f64 y x) #s(literal 1/4 binary64)) (pow.f64 (-.f64 y x) #s(literal 1/4 binary64)))
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (-.f64 y x)) #s(literal 2 binary64))) (pow.f64 (pow.f64 (-.f64 y x) #s(literal 5/6 binary64)) #s(literal 1/3 binary64)))
(*.f64 (sqrt.f64 (pow.f64 (-.f64 y x) #s(literal 1/4 binary64))) (pow.f64 (pow.f64 (-.f64 y x) #s(literal 3/4 binary64)) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 y x)) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (+.f64 y x) (pow.f64 y #s(literal 2 binary64)))) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/3 binary64)) (sqrt.f64 (-.f64 y x)))
(*.f64 (pow.f64 (pow.f64 (-.f64 y x) #s(literal 3/4 binary64)) #s(literal 1/2 binary64)) (sqrt.f64 (pow.f64 (-.f64 y x) #s(literal 1/4 binary64))))
(*.f64 (pow.f64 (fabs.f64 (pow.f64 (cbrt.f64 (-.f64 y x)) #s(literal 2 binary64))) #s(literal 1/2 binary64)) (pow.f64 (fabs.f64 (cbrt.f64 (-.f64 y x))) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (+.f64 (sqrt.f64 y) (sqrt.f64 x)) #s(literal 1/2 binary64)) (pow.f64 (-.f64 (sqrt.f64 y) (sqrt.f64 x)) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (pow.f64 (-.f64 y x) #s(literal 5/6 binary64)) #s(literal 1/2 binary64)) (sqrt.f64 (pow.f64 (-.f64 y x) #s(literal 1/6 binary64))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (pow.f64 (-.f64 y x) #s(literal 1/6 binary64))) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (-.f64 y x) #s(literal 1/6 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (-.f64 y x) #s(literal 1/6 binary64))) #s(literal 3 binary64)) (pow.f64 (sqrt.f64 (pow.f64 (-.f64 y x) #s(literal 1/6 binary64))) #s(literal 3 binary64)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (-.f64 y x)) #s(literal 4 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (pow.f64 (-.f64 y x) #s(literal 1/6 binary64))))
(*.f64 (pow.f64 (pow.f64 (-.f64 y x) #s(literal 5/4 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (pow.f64 (-.f64 y x) #s(literal 1/4 binary64))))
(/.f64 (sqrt.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))) (sqrt.f64 (+.f64 y x)))
(/.f64 (sqrt.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (hypot.f64 y (hypot.f64 x (sqrt.f64 (*.f64 y x)))))
(pow.f64 (-.f64 y x) #s(literal 1/2 binary64))
(pow.f64 (sqrt.f64 (-.f64 y x)) #s(literal 1 binary64))
(pow.f64 (pow.f64 (-.f64 y x) #s(literal 1/6 binary64)) #s(literal 3 binary64))
(pow.f64 (cbrt.f64 (-.f64 y x)) #s(literal 3/2 binary64))
(pow.f64 (pow.f64 (-.f64 y x) #s(literal 3/2 binary64)) #s(literal 1/3 binary64))
(pow.f64 (pow.f64 (-.f64 y x) #s(literal 2 binary64)) #s(literal 1/4 binary64))
(pow.f64 (pow.f64 (-.f64 y x) #s(literal 3 binary64)) #s(literal 1/6 binary64))
(pow.f64 (pow.f64 (-.f64 y x) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(fabs.f64 (sqrt.f64 (-.f64 y x)))
(log.f64 (exp.f64 (sqrt.f64 (-.f64 y x))))
(cbrt.f64 (pow.f64 (-.f64 y x) #s(literal 3/2 binary64)))
(expm1.f64 (log1p.f64 (sqrt.f64 (-.f64 y x))))
(hypot.f64 (sqrt.f64 y) (sqrt.f64 (neg.f64 x)))
(hypot.f64 (sqrt.f64 (neg.f64 x)) (sqrt.f64 y))
(log1p.f64 (expm1.f64 (sqrt.f64 (-.f64 y x))))
(exp.f64 (log.f64 (sqrt.f64 (-.f64 y x))))
(exp.f64 (*.f64 (log.f64 (-.f64 y x)) #s(literal 1/2 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (-.f64 y x))) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (-.f64 y x) #s(literal 1/6 binary64))) #s(literal 3 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (-.f64 y x) #s(literal 3/2 binary64))) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (-.f64 y x) #s(literal 1/4 binary64))) #s(literal 2 binary64)))
(exp.f64 (*.f64 (*.f64 (log.f64 (-.f64 y x)) #s(literal 1 binary64)) #s(literal 1/2 binary64)))
(exp.f64 (*.f64 (*.f64 (log.f64 (-.f64 y x)) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(exp.f64 (*.f64 (*.f64 (log.f64 (sqrt.f64 (-.f64 y x))) #s(literal 1 binary64)) #s(literal 1 binary64)))
(+.f64 y (neg.f64 x))
(+.f64 y (*.f64 (neg.f64 x) #s(literal 1 binary64)))
(+.f64 x (neg.f64 y))
(+.f64 x (*.f64 #s(literal -1 binary64) y))
(+.f64 x (*.f64 (neg.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (cbrt.f64 y)))
(+.f64 x (*.f64 (neg.f64 (sqrt.f64 y)) (sqrt.f64 y)))
(+.f64 (-.f64 y x) (fma.f64 (neg.f64 x) #s(literal 1 binary64) x))
(+.f64 (-.f64 y x) (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) x))
(+.f64 (-.f64 y x) (+.f64 (neg.f64 x) x))
(+.f64 (-.f64 y x) (fma.f64 (neg.f64 y) #s(literal 1 binary64) y))
(+.f64 (-.f64 y x) (fma.f64 (neg.f64 (cbrt.f64 y)) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) y))
(+.f64 (-.f64 y x) (fma.f64 (neg.f64 (sqrt.f64 y)) (sqrt.f64 y) y))
(+.f64 (-.f64 y x) (fma.f64 #s(literal -1 binary64) y y))
(+.f64 (-.f64 y x) (fma.f64 (neg.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (cbrt.f64 y) y))
(+.f64 (-.f64 y x) (fma.f64 #s(literal -1 binary64) x x))
(+.f64 (-.f64 y x) (fma.f64 (neg.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 x) x))
(+.f64 (neg.f64 x) y)
(+.f64 (neg.f64 y) (neg.f64 (neg.f64 x)))
(+.f64 #s(literal 0 binary64) (-.f64 y x))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (-.f64 y x))) #s(literal 2 binary64))) (log.f64 (cbrt.f64 (exp.f64 (-.f64 y x)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (-.f64 y x)))) (log.f64 (sqrt.f64 (exp.f64 (-.f64 y x)))))
(-.f64 y x)
(-.f64 x y)
(-.f64 (exp.f64 (log1p.f64 (-.f64 y x))) #s(literal 1 binary64))
(-.f64 #s(literal 0 binary64) (-.f64 y x))
(-.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 x (+.f64 y x) (pow.f64 y #s(literal 2 binary64)))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x (+.f64 y x) (pow.f64 y #s(literal 2 binary64)))))
(-.f64 (/.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 y x)) (/.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 y x)))
(*.f64 (-.f64 y x) #s(literal 1 binary64))
(*.f64 (-.f64 y x) (log.f64 (exp.f64 #s(literal 1 binary64))))
(*.f64 (sqrt.f64 (-.f64 y x)) (sqrt.f64 (-.f64 y x)))
(*.f64 (sqrt.f64 (-.f64 y x)) (neg.f64 (sqrt.f64 (-.f64 y x))))
(*.f64 #s(literal 1 binary64) (-.f64 y x))
(*.f64 (cbrt.f64 (-.f64 y x)) (pow.f64 (cbrt.f64 (-.f64 y x)) #s(literal 2 binary64)))
(*.f64 (cbrt.f64 (-.f64 y x)) (pow.f64 (pow.f64 (cbrt.f64 (-.f64 y x)) #s(literal 4 binary64)) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 y x)) #s(literal 2 binary64)) (cbrt.f64 (-.f64 y x)))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 y x)) #s(literal 2 binary64)) (neg.f64 (cbrt.f64 (-.f64 y x))))
(*.f64 (pow.f64 (-.f64 y x) #s(literal 1/4 binary64)) (pow.f64 (-.f64 y x) #s(literal 3/4 binary64)))
(*.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x (+.f64 y x) (pow.f64 y #s(literal 2 binary64)))))
(*.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 y x)))
(*.f64 (pow.f64 (-.f64 y x) #s(literal 3/4 binary64)) (pow.f64 (-.f64 y x) #s(literal 1/4 binary64)))
(*.f64 (fabs.f64 (pow.f64 (cbrt.f64 (-.f64 y x)) #s(literal 2 binary64))) (fabs.f64 (cbrt.f64 (-.f64 y x))))
(*.f64 #s(literal -1 binary64) (-.f64 y x))
(*.f64 (+.f64 (sqrt.f64 y) (sqrt.f64 x)) (-.f64 (sqrt.f64 y) (sqrt.f64 x)))
(*.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 y)) (-.f64 (sqrt.f64 x) (sqrt.f64 y)))
(*.f64 (neg.f64 (pow.f64 (cbrt.f64 (-.f64 y x)) #s(literal 2 binary64))) (cbrt.f64 (-.f64 y x)))
(*.f64 (neg.f64 (sqrt.f64 (-.f64 y x))) (sqrt.f64 (-.f64 y x)))
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(fma.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x) y)
(fma.f64 (pow.f64 (cbrt.f64 (neg.f64 x)) #s(literal 2 binary64)) (cbrt.f64 (neg.f64 x)) y)
(fma.f64 (pow.f64 (-.f64 y x) #s(literal 3/4 binary64)) (pow.f64 (-.f64 y x) #s(literal 1/4 binary64)) (fma.f64 (neg.f64 x) #s(literal 1 binary64) x))
(fma.f64 (pow.f64 (-.f64 y x) #s(literal 3/4 binary64)) (pow.f64 (-.f64 y x) #s(literal 1/4 binary64)) (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) x))
(fma.f64 (pow.f64 (-.f64 y x) #s(literal 3/4 binary64)) (pow.f64 (-.f64 y x) #s(literal 1/4 binary64)) (+.f64 (neg.f64 x) x))
(fma.f64 (sqrt.f64 (neg.f64 x)) (sqrt.f64 (neg.f64 x)) y)
(fma.f64 (fabs.f64 (pow.f64 (cbrt.f64 (-.f64 y x)) #s(literal 2 binary64))) (fabs.f64 (cbrt.f64 (-.f64 y x))) (fma.f64 (neg.f64 x) #s(literal 1 binary64) x))
(fma.f64 (fabs.f64 (pow.f64 (cbrt.f64 (-.f64 y x)) #s(literal 2 binary64))) (fabs.f64 (cbrt.f64 (-.f64 y x))) (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) x))
(fma.f64 (fabs.f64 (pow.f64 (cbrt.f64 (-.f64 y x)) #s(literal 2 binary64))) (fabs.f64 (cbrt.f64 (-.f64 y x))) (+.f64 (neg.f64 x) x))
(fma.f64 #s(literal -1 binary64) x y)
(fma.f64 (+.f64 (sqrt.f64 y) (sqrt.f64 x)) (-.f64 (sqrt.f64 y) (sqrt.f64 x)) (fma.f64 (neg.f64 x) #s(literal 1 binary64) x))
(fma.f64 (+.f64 (sqrt.f64 y) (sqrt.f64 x)) (-.f64 (sqrt.f64 y) (sqrt.f64 x)) (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) x))
(fma.f64 (+.f64 (sqrt.f64 y) (sqrt.f64 x)) (-.f64 (sqrt.f64 y) (sqrt.f64 x)) (+.f64 (neg.f64 x) x))
(fma.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 y)) (-.f64 (sqrt.f64 x) (sqrt.f64 y)) (fma.f64 (neg.f64 y) #s(literal 1 binary64) y))
(fma.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 y)) (-.f64 (sqrt.f64 x) (sqrt.f64 y)) (fma.f64 (neg.f64 (cbrt.f64 y)) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) y))
(fma.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 y)) (-.f64 (sqrt.f64 x) (sqrt.f64 y)) (fma.f64 (neg.f64 (sqrt.f64 y)) (sqrt.f64 y) y))
(fma.f64 (neg.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 x) y)
(fma.f64 (pow.f64 (-.f64 y x) #s(literal 5/6 binary64)) (pow.f64 (-.f64 y x) #s(literal 1/6 binary64)) (fma.f64 (neg.f64 x) #s(literal 1 binary64) x))
(fma.f64 (pow.f64 (-.f64 y x) #s(literal 5/6 binary64)) (pow.f64 (-.f64 y x) #s(literal 1/6 binary64)) (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) x))
(fma.f64 (pow.f64 (-.f64 y x) #s(literal 5/6 binary64)) (pow.f64 (-.f64 y x) #s(literal 1/6 binary64)) (+.f64 (neg.f64 x) x))

simplify207.0ms (3.3%)

Algorithm
1×egg-herbie
Rules
818×times-frac
285×exp-prod
277×fmm-def
268×distribute-lft-in
247×distribute-rgt-in
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
04668589946389
19388589945227
222718589944963
374408589944939
Stop Event
1×node limit
Counts
457 → 296
Calls
Call 1
Inputs
(sqrt.f64 (fabs.f64 (neg.f64 (+.f64 x (*.f64 #s(literal -1 binary64) y)))))
(sqrt.f64 (fabs.f64 (neg.f64 (+.f64 x (*.f64 #s(literal -1 binary64) y)))))
(sqrt.f64 (fabs.f64 (neg.f64 (+.f64 x (*.f64 #s(literal -1 binary64) y)))))
(sqrt.f64 (fabs.f64 (neg.f64 (+.f64 x (*.f64 #s(literal -1 binary64) y)))))
(sqrt.f64 (fabs.f64 (+.f64 y (*.f64 #s(literal -1 binary64) x))))
(sqrt.f64 (fabs.f64 (+.f64 y (*.f64 #s(literal -1 binary64) x))))
(sqrt.f64 (fabs.f64 (+.f64 y (*.f64 #s(literal -1 binary64) x))))
(sqrt.f64 (fabs.f64 (+.f64 y (*.f64 #s(literal -1 binary64) x))))
(fabs.f64 (neg.f64 (+.f64 x (*.f64 #s(literal -1 binary64) y))))
(fabs.f64 (neg.f64 (+.f64 x (*.f64 #s(literal -1 binary64) y))))
(fabs.f64 (neg.f64 (+.f64 x (*.f64 #s(literal -1 binary64) y))))
(fabs.f64 (neg.f64 (+.f64 x (*.f64 #s(literal -1 binary64) y))))
(fabs.f64 (+.f64 y (*.f64 #s(literal -1 binary64) x)))
(fabs.f64 (+.f64 y (*.f64 #s(literal -1 binary64) x)))
(fabs.f64 (+.f64 y (*.f64 #s(literal -1 binary64) x)))
(fabs.f64 (+.f64 y (*.f64 #s(literal -1 binary64) x)))
(*.f64 #s(literal -1 binary64) x)
y
(*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 x y))))
(*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 x y))))
(*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 x y))))
y
(*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (/.f64 x y) #s(literal 1 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (/.f64 x y) #s(literal 1 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (/.f64 x y) #s(literal 1 binary64))))
y
(+.f64 y (*.f64 #s(literal -1 binary64) x))
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(+.f64 y (*.f64 #s(literal -1 binary64) x))
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(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 y x)))))
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 y x)))))
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 y x)))))
(+.f64 #s(literal 0 binary64) (sqrt.f64 (-.f64 y x)))
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(+.f64 (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (-.f64 y x))))) (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (-.f64 y x))))))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (-.f64 y x)))) #s(literal 1 binary64))
(*.f64 (sqrt.f64 (-.f64 y x)) #s(literal 1 binary64))
(*.f64 (sqrt.f64 (-.f64 y x)) (log.f64 (exp.f64 #s(literal 1 binary64))))
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(*.f64 (pow.f64 (-.f64 y x) #s(literal 1/6 binary64)) (cbrt.f64 (-.f64 y x)))
(*.f64 (cbrt.f64 (-.f64 y x)) (pow.f64 (-.f64 y x) #s(literal 1/6 binary64)))
(*.f64 (pow.f64 (-.f64 y x) #s(literal 1/4 binary64)) (pow.f64 (-.f64 y x) #s(literal 1/4 binary64)))
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (-.f64 y x)) #s(literal 2 binary64))) (pow.f64 (pow.f64 (-.f64 y x) #s(literal 5/6 binary64)) #s(literal 1/3 binary64)))
(*.f64 (sqrt.f64 (pow.f64 (-.f64 y x) #s(literal 1/4 binary64))) (pow.f64 (pow.f64 (-.f64 y x) #s(literal 3/4 binary64)) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 y x)) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (+.f64 y x) (pow.f64 y #s(literal 2 binary64)))) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/3 binary64)) (sqrt.f64 (-.f64 y x)))
(*.f64 (pow.f64 (pow.f64 (-.f64 y x) #s(literal 3/4 binary64)) #s(literal 1/2 binary64)) (sqrt.f64 (pow.f64 (-.f64 y x) #s(literal 1/4 binary64))))
(*.f64 (pow.f64 (fabs.f64 (pow.f64 (cbrt.f64 (-.f64 y x)) #s(literal 2 binary64))) #s(literal 1/2 binary64)) (pow.f64 (fabs.f64 (cbrt.f64 (-.f64 y x))) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (+.f64 (sqrt.f64 y) (sqrt.f64 x)) #s(literal 1/2 binary64)) (pow.f64 (-.f64 (sqrt.f64 y) (sqrt.f64 x)) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (pow.f64 (-.f64 y x) #s(literal 5/6 binary64)) #s(literal 1/2 binary64)) (sqrt.f64 (pow.f64 (-.f64 y x) #s(literal 1/6 binary64))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (pow.f64 (-.f64 y x) #s(literal 1/6 binary64))) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (-.f64 y x) #s(literal 1/6 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (-.f64 y x) #s(literal 1/6 binary64))) #s(literal 3 binary64)) (pow.f64 (sqrt.f64 (pow.f64 (-.f64 y x) #s(literal 1/6 binary64))) #s(literal 3 binary64)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (-.f64 y x)) #s(literal 4 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (pow.f64 (-.f64 y x) #s(literal 1/6 binary64))))
(*.f64 (pow.f64 (pow.f64 (-.f64 y x) #s(literal 5/4 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (pow.f64 (-.f64 y x) #s(literal 1/4 binary64))))
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(pow.f64 (-.f64 y x) #s(literal 1/2 binary64))
(pow.f64 (sqrt.f64 (-.f64 y x)) #s(literal 1 binary64))
(pow.f64 (pow.f64 (-.f64 y x) #s(literal 1/6 binary64)) #s(literal 3 binary64))
(pow.f64 (cbrt.f64 (-.f64 y x)) #s(literal 3/2 binary64))
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(pow.f64 (pow.f64 (-.f64 y x) #s(literal 3 binary64)) #s(literal 1/6 binary64))
(pow.f64 (pow.f64 (-.f64 y x) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(fabs.f64 (sqrt.f64 (-.f64 y x)))
(log.f64 (exp.f64 (sqrt.f64 (-.f64 y x))))
(cbrt.f64 (pow.f64 (-.f64 y x) #s(literal 3/2 binary64)))
(expm1.f64 (log1p.f64 (sqrt.f64 (-.f64 y x))))
(hypot.f64 (sqrt.f64 y) (sqrt.f64 (neg.f64 x)))
(hypot.f64 (sqrt.f64 (neg.f64 x)) (sqrt.f64 y))
(log1p.f64 (expm1.f64 (sqrt.f64 (-.f64 y x))))
(exp.f64 (log.f64 (sqrt.f64 (-.f64 y x))))
(exp.f64 (*.f64 (log.f64 (-.f64 y x)) #s(literal 1/2 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (-.f64 y x))) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (-.f64 y x) #s(literal 1/6 binary64))) #s(literal 3 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (-.f64 y x) #s(literal 3/2 binary64))) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (-.f64 y x) #s(literal 1/4 binary64))) #s(literal 2 binary64)))
(exp.f64 (*.f64 (*.f64 (log.f64 (-.f64 y x)) #s(literal 1 binary64)) #s(literal 1/2 binary64)))
(exp.f64 (*.f64 (*.f64 (log.f64 (-.f64 y x)) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(exp.f64 (*.f64 (*.f64 (log.f64 (sqrt.f64 (-.f64 y x))) #s(literal 1 binary64)) #s(literal 1 binary64)))
(+.f64 y (neg.f64 x))
(+.f64 y (*.f64 (neg.f64 x) #s(literal 1 binary64)))
(+.f64 x (neg.f64 y))
(+.f64 x (*.f64 #s(literal -1 binary64) y))
(+.f64 x (*.f64 (neg.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (cbrt.f64 y)))
(+.f64 x (*.f64 (neg.f64 (sqrt.f64 y)) (sqrt.f64 y)))
(+.f64 (-.f64 y x) (fma.f64 (neg.f64 x) #s(literal 1 binary64) x))
(+.f64 (-.f64 y x) (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) x))
(+.f64 (-.f64 y x) (+.f64 (neg.f64 x) x))
(+.f64 (-.f64 y x) (fma.f64 (neg.f64 y) #s(literal 1 binary64) y))
(+.f64 (-.f64 y x) (fma.f64 (neg.f64 (cbrt.f64 y)) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) y))
(+.f64 (-.f64 y x) (fma.f64 (neg.f64 (sqrt.f64 y)) (sqrt.f64 y) y))
(+.f64 (-.f64 y x) (fma.f64 #s(literal -1 binary64) y y))
(+.f64 (-.f64 y x) (fma.f64 (neg.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (cbrt.f64 y) y))
(+.f64 (-.f64 y x) (fma.f64 #s(literal -1 binary64) x x))
(+.f64 (-.f64 y x) (fma.f64 (neg.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 x) x))
(+.f64 (neg.f64 x) y)
(+.f64 (neg.f64 y) (neg.f64 (neg.f64 x)))
(+.f64 #s(literal 0 binary64) (-.f64 y x))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (-.f64 y x))) #s(literal 2 binary64))) (log.f64 (cbrt.f64 (exp.f64 (-.f64 y x)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (-.f64 y x)))) (log.f64 (sqrt.f64 (exp.f64 (-.f64 y x)))))
(-.f64 y x)
(-.f64 x y)
(-.f64 (exp.f64 (log1p.f64 (-.f64 y x))) #s(literal 1 binary64))
(-.f64 #s(literal 0 binary64) (-.f64 y x))
(-.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 x (+.f64 y x) (pow.f64 y #s(literal 2 binary64)))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x (+.f64 y x) (pow.f64 y #s(literal 2 binary64)))))
(-.f64 (/.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 y x)) (/.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 y x)))
(*.f64 (-.f64 y x) #s(literal 1 binary64))
(*.f64 (-.f64 y x) (log.f64 (exp.f64 #s(literal 1 binary64))))
(*.f64 (sqrt.f64 (-.f64 y x)) (sqrt.f64 (-.f64 y x)))
(*.f64 (sqrt.f64 (-.f64 y x)) (neg.f64 (sqrt.f64 (-.f64 y x))))
(*.f64 #s(literal 1 binary64) (-.f64 y x))
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(*.f64 (pow.f64 (cbrt.f64 (-.f64 y x)) #s(literal 2 binary64)) (cbrt.f64 (-.f64 y x)))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 y x)) #s(literal 2 binary64)) (neg.f64 (cbrt.f64 (-.f64 y x))))
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(fma.f64 (neg.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 x) y)
(fma.f64 (pow.f64 (-.f64 y x) #s(literal 5/6 binary64)) (pow.f64 (-.f64 y x) #s(literal 1/6 binary64)) (fma.f64 (neg.f64 x) #s(literal 1 binary64) x))
(fma.f64 (pow.f64 (-.f64 y x) #s(literal 5/6 binary64)) (pow.f64 (-.f64 y x) #s(literal 1/6 binary64)) (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) x))
(fma.f64 (pow.f64 (-.f64 y x) #s(literal 5/6 binary64)) (pow.f64 (-.f64 y x) #s(literal 1/6 binary64)) (+.f64 (neg.f64 x) x))
Outputs
(sqrt.f64 (fabs.f64 (neg.f64 (+.f64 x (*.f64 #s(literal -1 binary64) y)))))
(sqrt.f64 (fabs.f64 (-.f64 x y)))
(sqrt.f64 (-.f64 y x))
(sqrt.f64 (fabs.f64 (neg.f64 (+.f64 x (*.f64 #s(literal -1 binary64) y)))))
(sqrt.f64 (fabs.f64 (-.f64 x y)))
(sqrt.f64 (-.f64 y x))
(sqrt.f64 (fabs.f64 (neg.f64 (+.f64 x (*.f64 #s(literal -1 binary64) y)))))
(sqrt.f64 (fabs.f64 (-.f64 x y)))
(sqrt.f64 (-.f64 y x))
(sqrt.f64 (fabs.f64 (neg.f64 (+.f64 x (*.f64 #s(literal -1 binary64) y)))))
(sqrt.f64 (fabs.f64 (-.f64 x y)))
(sqrt.f64 (-.f64 y x))
(sqrt.f64 (fabs.f64 (+.f64 y (*.f64 #s(literal -1 binary64) x))))
(sqrt.f64 (fabs.f64 (-.f64 x y)))
(sqrt.f64 (-.f64 y x))
(sqrt.f64 (fabs.f64 (+.f64 y (*.f64 #s(literal -1 binary64) x))))
(sqrt.f64 (fabs.f64 (-.f64 x y)))
(sqrt.f64 (-.f64 y x))
(sqrt.f64 (fabs.f64 (+.f64 y (*.f64 #s(literal -1 binary64) x))))
(sqrt.f64 (fabs.f64 (-.f64 x y)))
(sqrt.f64 (-.f64 y x))
(sqrt.f64 (fabs.f64 (+.f64 y (*.f64 #s(literal -1 binary64) x))))
(sqrt.f64 (fabs.f64 (-.f64 x y)))
(sqrt.f64 (-.f64 y x))
(fabs.f64 (neg.f64 (+.f64 x (*.f64 #s(literal -1 binary64) y))))
(fabs.f64 (-.f64 x y))
(-.f64 y x)
(fabs.f64 (neg.f64 (+.f64 x (*.f64 #s(literal -1 binary64) y))))
(fabs.f64 (-.f64 x y))
(-.f64 y x)
(fabs.f64 (neg.f64 (+.f64 x (*.f64 #s(literal -1 binary64) y))))
(fabs.f64 (-.f64 x y))
(-.f64 y x)
(fabs.f64 (neg.f64 (+.f64 x (*.f64 #s(literal -1 binary64) y))))
(fabs.f64 (-.f64 x y))
(-.f64 y x)
(fabs.f64 (+.f64 y (*.f64 #s(literal -1 binary64) x)))
(fabs.f64 (-.f64 x y))
(-.f64 y x)
(fabs.f64 (+.f64 y (*.f64 #s(literal -1 binary64) x)))
(fabs.f64 (-.f64 x y))
(-.f64 y x)
(fabs.f64 (+.f64 y (*.f64 #s(literal -1 binary64) x)))
(fabs.f64 (-.f64 x y))
(-.f64 y x)
(fabs.f64 (+.f64 y (*.f64 #s(literal -1 binary64) x)))
(fabs.f64 (-.f64 x y))
(-.f64 y x)
(*.f64 #s(literal -1 binary64) x)
(neg.f64 x)
y
(*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 x y))))
(*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 (neg.f64 x) y)))
(*.f64 y (-.f64 #s(literal 1 binary64) (/.f64 x y)))
(*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 x y))))
(*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 (neg.f64 x) y)))
(*.f64 y (-.f64 #s(literal 1 binary64) (/.f64 x y)))
(*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 x y))))
(*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 (neg.f64 x) y)))
(*.f64 y (-.f64 #s(literal 1 binary64) (/.f64 x y)))
y
(*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (/.f64 x y) #s(literal 1 binary64))))
(*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 (neg.f64 x) y)))
(*.f64 y (-.f64 #s(literal 1 binary64) (/.f64 x y)))
(*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (/.f64 x y) #s(literal 1 binary64))))
(*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 (neg.f64 x) y)))
(*.f64 y (-.f64 #s(literal 1 binary64) (/.f64 x y)))
(*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (/.f64 x y) #s(literal 1 binary64))))
(*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 (neg.f64 x) y)))
(*.f64 y (-.f64 #s(literal 1 binary64) (/.f64 x y)))
y
(+.f64 y (*.f64 #s(literal -1 binary64) x))
(fabs.f64 (-.f64 x y))
(-.f64 y x)
(+.f64 y (*.f64 #s(literal -1 binary64) x))
(fabs.f64 (-.f64 x y))
(-.f64 y x)
(+.f64 y (*.f64 #s(literal -1 binary64) x))
(fabs.f64 (-.f64 x y))
(-.f64 y x)
(*.f64 #s(literal -1 binary64) x)
(neg.f64 x)
(*.f64 x (-.f64 (/.f64 y x) #s(literal 1 binary64)))
(*.f64 x (+.f64 (/.f64 y x) #s(literal -1 binary64)))
(*.f64 x (+.f64 #s(literal -1 binary64) (/.f64 y x)))
(*.f64 x (-.f64 (/.f64 y x) #s(literal 1 binary64)))
(*.f64 x (+.f64 (/.f64 y x) #s(literal -1 binary64)))
(*.f64 x (+.f64 #s(literal -1 binary64) (/.f64 y x)))
(*.f64 x (-.f64 (/.f64 y x) #s(literal 1 binary64)))
(*.f64 x (+.f64 (/.f64 y x) #s(literal -1 binary64)))
(*.f64 x (+.f64 #s(literal -1 binary64) (/.f64 y x)))
(*.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 binary64) (/.f64 y x)))))
(*.f64 x (+.f64 (/.f64 y x) #s(literal -1 binary64)))
(*.f64 x (+.f64 #s(literal -1 binary64) (/.f64 y x)))
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 y x)))))
(*.f64 x (+.f64 (/.f64 y x) #s(literal -1 binary64)))
(*.f64 x (+.f64 #s(literal -1 binary64) (/.f64 y x)))
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 y x)))))
(*.f64 x (+.f64 (/.f64 y x) #s(literal -1 binary64)))
(*.f64 x (+.f64 #s(literal -1 binary64) (/.f64 y x)))
(+.f64 #s(literal 0 binary64) (sqrt.f64 (-.f64 y x)))
(sqrt.f64 (fabs.f64 (-.f64 x y)))
(sqrt.f64 (-.f64 y x))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (-.f64 y x)))) #s(literal 2 binary64))) (log.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (-.f64 y x))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (-.f64 y x))))) (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (-.f64 y x))))))
(*.f64 #s(literal 2 binary64) (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (-.f64 y x))))))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (-.f64 y x)))) #s(literal 1 binary64))
(sqrt.f64 (fabs.f64 (-.f64 x y)))
(sqrt.f64 (-.f64 y x))
(*.f64 (sqrt.f64 (-.f64 y x)) #s(literal 1 binary64))
(sqrt.f64 (fabs.f64 (-.f64 x y)))
(sqrt.f64 (-.f64 y x))
(*.f64 (sqrt.f64 (-.f64 y x)) (log.f64 (exp.f64 #s(literal 1 binary64))))
(sqrt.f64 (fabs.f64 (-.f64 x y)))
(sqrt.f64 (-.f64 y x))
(*.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 y x)))
(sqrt.f64 (fabs.f64 (-.f64 x y)))
(sqrt.f64 (-.f64 y x))
(*.f64 (pow.f64 (-.f64 y x) #s(literal 1/6 binary64)) (cbrt.f64 (-.f64 y x)))
(pow.f64 (pow.f64 (-.f64 y x) #s(literal 1/6 binary64)) #s(literal 3 binary64))
(*.f64 (cbrt.f64 (-.f64 y x)) (pow.f64 (-.f64 y x) #s(literal 1/6 binary64)))
(*.f64 (pow.f64 (-.f64 y x) #s(literal 1/6 binary64)) (cbrt.f64 (-.f64 y x)))
(pow.f64 (pow.f64 (-.f64 y x) #s(literal 1/6 binary64)) #s(literal 3 binary64))
(*.f64 (pow.f64 (-.f64 y x) #s(literal 1/4 binary64)) (pow.f64 (-.f64 y x) #s(literal 1/4 binary64)))
(sqrt.f64 (fabs.f64 (-.f64 x y)))
(sqrt.f64 (-.f64 y x))
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (-.f64 y x)) #s(literal 2 binary64))) (pow.f64 (pow.f64 (-.f64 y x) #s(literal 5/6 binary64)) #s(literal 1/3 binary64)))
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (-.f64 y x)) #s(literal 2 binary64))) (cbrt.f64 (pow.f64 (-.f64 y x) #s(literal 5/6 binary64))))
(*.f64 (sqrt.f64 (pow.f64 (-.f64 y x) #s(literal 1/4 binary64))) (pow.f64 (pow.f64 (-.f64 y x) #s(literal 3/4 binary64)) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 (pow.f64 (-.f64 y x) #s(literal 1/4 binary64))) (sqrt.f64 (pow.f64 (-.f64 y x) #s(literal 3/4 binary64))))
(*.f64 (sqrt.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 y x)) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 x y))))
(*.f64 (sqrt.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (+.f64 y x) (pow.f64 y #s(literal 2 binary64)))) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (+.f64 x y) (pow.f64 y #s(literal 2 binary64))))))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/3 binary64)) (sqrt.f64 (-.f64 y x)))
(sqrt.f64 (fabs.f64 (-.f64 x y)))
(sqrt.f64 (-.f64 y x))
(*.f64 (pow.f64 (pow.f64 (-.f64 y x) #s(literal 3/4 binary64)) #s(literal 1/2 binary64)) (sqrt.f64 (pow.f64 (-.f64 y x) #s(literal 1/4 binary64))))
(*.f64 (sqrt.f64 (pow.f64 (-.f64 y x) #s(literal 1/4 binary64))) (sqrt.f64 (pow.f64 (-.f64 y x) #s(literal 3/4 binary64))))
(*.f64 (pow.f64 (fabs.f64 (pow.f64 (cbrt.f64 (-.f64 y x)) #s(literal 2 binary64))) #s(literal 1/2 binary64)) (pow.f64 (fabs.f64 (cbrt.f64 (-.f64 y x))) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 (fabs.f64 (pow.f64 (cbrt.f64 (-.f64 y x)) #s(literal 2 binary64)))) (sqrt.f64 (fabs.f64 (cbrt.f64 (-.f64 y x)))))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (-.f64 y x)) #s(literal 2 binary64))) (sqrt.f64 (fabs.f64 (cbrt.f64 (-.f64 y x)))))
(*.f64 (fabs.f64 (cbrt.f64 (-.f64 y x))) (sqrt.f64 (fabs.f64 (cbrt.f64 (-.f64 y x)))))
(pow.f64 (fabs.f64 (cbrt.f64 (-.f64 y x))) #s(literal 3/2 binary64))
(*.f64 (pow.f64 (+.f64 (sqrt.f64 y) (sqrt.f64 x)) #s(literal 1/2 binary64)) (pow.f64 (-.f64 (sqrt.f64 y) (sqrt.f64 x)) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 (+.f64 (sqrt.f64 y) (sqrt.f64 x))) (sqrt.f64 (-.f64 (sqrt.f64 y) (sqrt.f64 x))))
(*.f64 (pow.f64 (pow.f64 (-.f64 y x) #s(literal 5/6 binary64)) #s(literal 1/2 binary64)) (sqrt.f64 (pow.f64 (-.f64 y x) #s(literal 1/6 binary64))))
(*.f64 (sqrt.f64 (pow.f64 (-.f64 y x) #s(literal 5/6 binary64))) (sqrt.f64 (pow.f64 (-.f64 y x) #s(literal 1/6 binary64))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (pow.f64 (-.f64 y x) #s(literal 1/6 binary64))) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (-.f64 y x) #s(literal 1/6 binary64)))
(*.f64 (pow.f64 (-.f64 y x) #s(literal 1/6 binary64)) (cbrt.f64 (-.f64 y x)))
(pow.f64 (pow.f64 (-.f64 y x) #s(literal 1/6 binary64)) #s(literal 3 binary64))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (-.f64 y x) #s(literal 1/6 binary64))) #s(literal 3 binary64)) (pow.f64 (sqrt.f64 (pow.f64 (-.f64 y x) #s(literal 1/6 binary64))) #s(literal 3 binary64)))
(*.f64 (pow.f64 (-.f64 y x) #s(literal 1/6 binary64)) (cbrt.f64 (-.f64 y x)))
(pow.f64 (pow.f64 (-.f64 y x) #s(literal 1/6 binary64)) #s(literal 3 binary64))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (-.f64 y x)) #s(literal 4 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (pow.f64 (-.f64 y x) #s(literal 1/6 binary64))))
(*.f64 (cbrt.f64 (pow.f64 (-.f64 y x) #s(literal 1/6 binary64))) (cbrt.f64 (pow.f64 (cbrt.f64 (-.f64 y x)) #s(literal 4 binary64))))
(*.f64 (pow.f64 (pow.f64 (-.f64 y x) #s(literal 5/4 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (pow.f64 (-.f64 y x) #s(literal 1/4 binary64))))
(*.f64 (cbrt.f64 (pow.f64 (-.f64 y x) #s(literal 5/4 binary64))) (cbrt.f64 (pow.f64 (-.f64 y x) #s(literal 1/4 binary64))))
(/.f64 (sqrt.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))) (sqrt.f64 (+.f64 y x)))
(/.f64 (sqrt.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))) (sqrt.f64 (+.f64 x y)))
(/.f64 (sqrt.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (hypot.f64 y (hypot.f64 x (sqrt.f64 (*.f64 y x)))))
(/.f64 (sqrt.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (hypot.f64 y (hypot.f64 x (sqrt.f64 (*.f64 x y)))))
(/.f64 (sqrt.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (hypot.f64 y (sqrt.f64 (*.f64 x (+.f64 x y)))))
(pow.f64 (-.f64 y x) #s(literal 1/2 binary64))
(sqrt.f64 (fabs.f64 (-.f64 x y)))
(sqrt.f64 (-.f64 y x))
(pow.f64 (sqrt.f64 (-.f64 y x)) #s(literal 1 binary64))
(sqrt.f64 (fabs.f64 (-.f64 x y)))
(sqrt.f64 (-.f64 y x))
(pow.f64 (pow.f64 (-.f64 y x) #s(literal 1/6 binary64)) #s(literal 3 binary64))
(*.f64 (pow.f64 (-.f64 y x) #s(literal 1/6 binary64)) (cbrt.f64 (-.f64 y x)))
(pow.f64 (cbrt.f64 (-.f64 y x)) #s(literal 3/2 binary64))
(pow.f64 (pow.f64 (-.f64 y x) #s(literal 3/2 binary64)) #s(literal 1/3 binary64))
(cbrt.f64 (pow.f64 (-.f64 y x) #s(literal 3/2 binary64)))
(pow.f64 (pow.f64 (-.f64 y x) #s(literal 2 binary64)) #s(literal 1/4 binary64))
(sqrt.f64 (fabs.f64 (-.f64 x y)))
(sqrt.f64 (-.f64 y x))
(pow.f64 (pow.f64 (-.f64 y x) #s(literal 3 binary64)) #s(literal 1/6 binary64))
(pow.f64 (pow.f64 (-.f64 y x) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(sqrt.f64 (fabs.f64 (-.f64 x y)))
(sqrt.f64 (-.f64 y x))
(fabs.f64 (sqrt.f64 (-.f64 y x)))
(sqrt.f64 (fabs.f64 (-.f64 x y)))
(sqrt.f64 (-.f64 y x))
(log.f64 (exp.f64 (sqrt.f64 (-.f64 y x))))
(sqrt.f64 (fabs.f64 (-.f64 x y)))
(sqrt.f64 (-.f64 y x))
(cbrt.f64 (pow.f64 (-.f64 y x) #s(literal 3/2 binary64)))
(expm1.f64 (log1p.f64 (sqrt.f64 (-.f64 y x))))
(sqrt.f64 (fabs.f64 (-.f64 x y)))
(sqrt.f64 (-.f64 y x))
(hypot.f64 (sqrt.f64 y) (sqrt.f64 (neg.f64 x)))
(sqrt.f64 (fabs.f64 (-.f64 x y)))
(sqrt.f64 (-.f64 y x))
(hypot.f64 (sqrt.f64 (neg.f64 x)) (sqrt.f64 y))
(sqrt.f64 (fabs.f64 (-.f64 x y)))
(sqrt.f64 (-.f64 y x))
(log1p.f64 (expm1.f64 (sqrt.f64 (-.f64 y x))))
(sqrt.f64 (fabs.f64 (-.f64 x y)))
(sqrt.f64 (-.f64 y x))
(exp.f64 (log.f64 (sqrt.f64 (-.f64 y x))))
(sqrt.f64 (fabs.f64 (-.f64 x y)))
(sqrt.f64 (-.f64 y x))
(exp.f64 (*.f64 (log.f64 (-.f64 y x)) #s(literal 1/2 binary64)))
(sqrt.f64 (fabs.f64 (-.f64 x y)))
(sqrt.f64 (-.f64 y x))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (-.f64 y x))) #s(literal 1 binary64)))
(sqrt.f64 (fabs.f64 (-.f64 x y)))
(sqrt.f64 (-.f64 y x))
(exp.f64 (*.f64 (log.f64 (pow.f64 (-.f64 y x) #s(literal 1/6 binary64))) #s(literal 3 binary64)))
(*.f64 (pow.f64 (-.f64 y x) #s(literal 1/6 binary64)) (cbrt.f64 (-.f64 y x)))
(pow.f64 (pow.f64 (-.f64 y x) #s(literal 1/6 binary64)) #s(literal 3 binary64))
(exp.f64 (*.f64 (log.f64 (pow.f64 (-.f64 y x) #s(literal 3/2 binary64))) #s(literal 1/3 binary64)))
(cbrt.f64 (pow.f64 (-.f64 y x) #s(literal 3/2 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (-.f64 y x) #s(literal 1/4 binary64))) #s(literal 2 binary64)))
(sqrt.f64 (fabs.f64 (-.f64 x y)))
(sqrt.f64 (-.f64 y x))
(exp.f64 (*.f64 (*.f64 (log.f64 (-.f64 y x)) #s(literal 1 binary64)) #s(literal 1/2 binary64)))
(sqrt.f64 (fabs.f64 (-.f64 x y)))
(sqrt.f64 (-.f64 y x))
(exp.f64 (*.f64 (*.f64 (log.f64 (-.f64 y x)) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(sqrt.f64 (fabs.f64 (-.f64 x y)))
(sqrt.f64 (-.f64 y x))
(exp.f64 (*.f64 (*.f64 (log.f64 (sqrt.f64 (-.f64 y x))) #s(literal 1 binary64)) #s(literal 1 binary64)))
(sqrt.f64 (fabs.f64 (-.f64 x y)))
(sqrt.f64 (-.f64 y x))
(+.f64 y (neg.f64 x))
(fabs.f64 (-.f64 x y))
(-.f64 y x)
(+.f64 y (*.f64 (neg.f64 x) #s(literal 1 binary64)))
(fabs.f64 (-.f64 x y))
(-.f64 y x)
(+.f64 x (neg.f64 y))
(-.f64 x y)
(+.f64 x (*.f64 #s(literal -1 binary64) y))
(-.f64 x y)
(+.f64 x (*.f64 (neg.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (cbrt.f64 y)))
(-.f64 x y)
(+.f64 x (*.f64 (neg.f64 (sqrt.f64 y)) (sqrt.f64 y)))
(-.f64 x y)
(+.f64 (-.f64 y x) (fma.f64 (neg.f64 x) #s(literal 1 binary64) x))
(fabs.f64 (-.f64 x y))
(-.f64 y x)
(+.f64 (-.f64 y x) (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) x))
(fabs.f64 (-.f64 x y))
(-.f64 y x)
(+.f64 (-.f64 y x) (+.f64 (neg.f64 x) x))
(fabs.f64 (-.f64 x y))
(-.f64 y x)
(+.f64 (-.f64 y x) (fma.f64 (neg.f64 y) #s(literal 1 binary64) y))
(fabs.f64 (-.f64 x y))
(-.f64 y x)
(+.f64 (-.f64 y x) (fma.f64 (neg.f64 (cbrt.f64 y)) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) y))
(fabs.f64 (-.f64 x y))
(-.f64 y x)
(+.f64 (-.f64 y x) (fma.f64 (neg.f64 (sqrt.f64 y)) (sqrt.f64 y) y))
(fabs.f64 (-.f64 x y))
(-.f64 y x)
(+.f64 (-.f64 y x) (fma.f64 #s(literal -1 binary64) y y))
(fabs.f64 (-.f64 x y))
(-.f64 y x)
(+.f64 (-.f64 y x) (fma.f64 (neg.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (cbrt.f64 y) y))
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(fma.f64 (pow.f64 (-.f64 y x) #s(literal 1/6 binary64)) (pow.f64 (-.f64 y x) #s(literal 5/6 binary64)) (*.f64 #s(literal 0 binary64) x))
(fma.f64 (pow.f64 (-.f64 y x) #s(literal 1/6 binary64)) (pow.f64 (-.f64 y x) #s(literal 5/6 binary64)) #s(literal 0 binary64))

eval39.0ms (0.6%)

Compiler

Compiled 3585 to 781 computations (78.2% saved)

prune46.0ms (0.7%)

Pruning

5 alts after pruning (5 fresh and 0 done)

PrunedKeptTotal
New2915296
Fresh000
Picked101
Done000
Total2925297
Accuracy
100.0%
Counts
297 → 5
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶99.3%
(pow.f64 (pow.f64 (-.f64 y x) #s(literal 1/4 binary64)) #s(literal 2 binary64))
▶50.0%
(hypot.f64 (sqrt.f64 (neg.f64 x)) (sqrt.f64 y))
▶100.0%
(sqrt.f64 (-.f64 y x))
▶86.1%
(sqrt.f64 (fabs.f64 (*.f64 x (-.f64 (/.f64 y x) #s(literal 1 binary64)))))
▶66.4%
(cbrt.f64 (pow.f64 (-.f64 y x) #s(literal 3/2 binary64)))
Compiler

Compiled 84 to 62 computations (26.2% saved)

simplify88.0ms (1.4%)

Algorithm
1×egg-herbie
Localize:

Found 16 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(sqrt.f64 y)
✓cost-diff0
(neg.f64 x)
✓cost-diff0
(sqrt.f64 (neg.f64 x))
✓cost-diff12800
(hypot.f64 (sqrt.f64 (neg.f64 x)) (sqrt.f64 y))
✓cost-diff0
(-.f64 (/.f64 y x) #s(literal 1 binary64))
✓cost-diff256
(*.f64 x (-.f64 (/.f64 y x) #s(literal 1 binary64)))
✓cost-diff256
(fabs.f64 (*.f64 x (-.f64 (/.f64 y x) #s(literal 1 binary64))))
✓cost-diff256
(sqrt.f64 (fabs.f64 (*.f64 x (-.f64 (/.f64 y x) #s(literal 1 binary64)))))
cost-diff0
(-.f64 y x)
✓cost-diff0
(pow.f64 (-.f64 y x) #s(literal 1/4 binary64))
✓cost-diff6528
(pow.f64 (pow.f64 (-.f64 y x) #s(literal 1/4 binary64)) #s(literal 2 binary64))
cost-diff0
(-.f64 y x)
✓cost-diff0
(pow.f64 (-.f64 y x) #s(literal 3/2 binary64))
✓cost-diff0
(cbrt.f64 (pow.f64 (-.f64 y x) #s(literal 3/2 binary64)))
cost-diff0
(-.f64 y x)
✓cost-diff0
(sqrt.f64 (-.f64 y x))
Rules
756×div-sub
751×times-frac
463×fma-define
312×associate-/l*
282×fabs-mul
Iterations

Useful iterations: 5 (0.0ms)

IterNodesCost
027336
147336
267336
3101336
4158318
5261306
6440306
71255306
84673306
97184306
Stop Event
1×node limit
Calls
Call 1
Inputs
(sqrt.f64 (-.f64 y x))
(-.f64 y x)
y
x
(cbrt.f64 (pow.f64 (-.f64 y x) #s(literal 3/2 binary64)))
(pow.f64 (-.f64 y x) #s(literal 3/2 binary64))
(-.f64 y x)
y
x
#s(literal 3/2 binary64)
(pow.f64 (pow.f64 (-.f64 y x) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(pow.f64 (-.f64 y x) #s(literal 1/4 binary64))
(-.f64 y x)
y
x
#s(literal 1/4 binary64)
#s(literal 2 binary64)
(sqrt.f64 (fabs.f64 (*.f64 x (-.f64 (/.f64 y x) #s(literal 1 binary64)))))
(fabs.f64 (*.f64 x (-.f64 (/.f64 y x) #s(literal 1 binary64))))
(*.f64 x (-.f64 (/.f64 y x) #s(literal 1 binary64)))
x
(-.f64 (/.f64 y x) #s(literal 1 binary64))
(/.f64 y x)
y
#s(literal 1 binary64)
(hypot.f64 (sqrt.f64 (neg.f64 x)) (sqrt.f64 y))
(sqrt.f64 (neg.f64 x))
(neg.f64 x)
x
(sqrt.f64 y)
y
Outputs
(sqrt.f64 (-.f64 y x))
(-.f64 y x)
y
x
(cbrt.f64 (pow.f64 (-.f64 y x) #s(literal 3/2 binary64)))
(pow.f64 (-.f64 y x) #s(literal 3/2 binary64))
(-.f64 y x)
y
x
#s(literal 3/2 binary64)
(pow.f64 (pow.f64 (-.f64 y x) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(sqrt.f64 (-.f64 y x))
(pow.f64 (-.f64 y x) #s(literal 1/4 binary64))
(-.f64 y x)
y
x
#s(literal 1/4 binary64)
#s(literal 2 binary64)
(sqrt.f64 (fabs.f64 (*.f64 x (-.f64 (/.f64 y x) #s(literal 1 binary64)))))
(sqrt.f64 (fabs.f64 (*.f64 x (+.f64 (/.f64 y x) #s(literal -1 binary64)))))
(sqrt.f64 (fabs.f64 (-.f64 (*.f64 y #s(literal 1 binary64)) x)))
(sqrt.f64 (fabs.f64 (-.f64 y x)))
(sqrt.f64 (fabs.f64 (-.f64 x y)))
(fabs.f64 (*.f64 x (-.f64 (/.f64 y x) #s(literal 1 binary64))))
(fabs.f64 (*.f64 x (+.f64 (/.f64 y x) #s(literal -1 binary64))))
(fabs.f64 (-.f64 (*.f64 y #s(literal 1 binary64)) x))
(fabs.f64 (-.f64 y x))
(fabs.f64 (-.f64 x y))
(*.f64 x (-.f64 (/.f64 y x) #s(literal 1 binary64)))
(-.f64 y x)
x
(-.f64 (/.f64 y x) #s(literal 1 binary64))
(+.f64 (/.f64 y x) #s(literal -1 binary64))
(/.f64 y x)
y
#s(literal 1 binary64)
(hypot.f64 (sqrt.f64 (neg.f64 x)) (sqrt.f64 y))
(sqrt.f64 (-.f64 y x))
(sqrt.f64 (neg.f64 x))
(neg.f64 x)
x
(sqrt.f64 y)
y

localize217.0ms (3.4%)

Localize:

Found 16 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(sqrt.f64 (neg.f64 x))
✓accuracy100.0%
(sqrt.f64 y)
✓accuracy100.0%
(neg.f64 x)
✓accuracy100.0%
(hypot.f64 (sqrt.f64 (neg.f64 x)) (sqrt.f64 y))
✓accuracy100.0%
(-.f64 (/.f64 y x) #s(literal 1 binary64))
✓accuracy100.0%
(fabs.f64 (*.f64 x (-.f64 (/.f64 y x) #s(literal 1 binary64))))
✓accuracy100.0%
(sqrt.f64 (fabs.f64 (*.f64 x (-.f64 (/.f64 y x) #s(literal 1 binary64)))))
✓accuracy92.7%
(*.f64 x (-.f64 (/.f64 y x) #s(literal 1 binary64)))
accuracy100.0%
(-.f64 y x)
✓accuracy100.0%
(pow.f64 (-.f64 y x) #s(literal 1/4 binary64))
✓accuracy99.7%
(pow.f64 (pow.f64 (-.f64 y x) #s(literal 1/4 binary64)) #s(literal 2 binary64))
accuracy100.0%
(-.f64 y x)
✓accuracy100.0%
(pow.f64 (-.f64 y x) #s(literal 3/2 binary64))
✓accuracy81.7%
(cbrt.f64 (pow.f64 (-.f64 y x) #s(literal 3/2 binary64)))
accuracy100.0%
(-.f64 y x)
✓accuracy100.0%
(sqrt.f64 (-.f64 y x))
Results
166.0ms128×0invalid
24.0ms126×0valid
2.0ms2×5exit
Compiler

Compiled 97 to 23 computations (76.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 35.0ms
ival-pow: 10.0ms (28.3% of total)
ival-sqrt: 8.0ms (22.7% of total)
ival-hypot: 4.0ms (11.3% of total)
ival-sub: 3.0ms (8.5% of total)
ival-pow2: 3.0ms (8.5% of total)
ival-div: 2.0ms (5.7% of total)
ival-mult: 2.0ms (5.7% of total)
ival-cbrt: 2.0ms (5.7% of total)
ival-fabs: 1.0ms (2.8% of total)
ival-neg: 1.0ms (2.8% of total)
adjust: 0.0ms (0% of total)
...in/eval/compile.rkt:76:19: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series154.0ms (2.5%)

Counts
13 → 216
Calls
Call 1
Inputs
#<alt (sqrt.f64 (-.f64 y x))>
#<alt (cbrt.f64 (pow.f64 (-.f64 y x) #s(literal 3/2 binary64)))>
#<alt (pow.f64 (-.f64 y x) #s(literal 3/2 binary64))>
#<alt (pow.f64 (pow.f64 (-.f64 y x) #s(literal 1/4 binary64)) #s(literal 2 binary64))>
#<alt (pow.f64 (-.f64 y x) #s(literal 1/4 binary64))>
#<alt (sqrt.f64 (fabs.f64 (*.f64 x (-.f64 (/.f64 y x) #s(literal 1 binary64)))))>
#<alt (fabs.f64 (*.f64 x (-.f64 (/.f64 y x) #s(literal 1 binary64))))>
#<alt (*.f64 x (-.f64 (/.f64 y x) #s(literal 1 binary64)))>
#<alt (-.f64 (/.f64 y x) #s(literal 1 binary64))>
#<alt (hypot.f64 (sqrt.f64 (neg.f64 x)) (sqrt.f64 y))>
#<alt (sqrt.f64 (neg.f64 x))>
#<alt (neg.f64 x)>
#<alt (sqrt.f64 y)>
Outputs
#<alt (*.f64 (sqrt.f64 x) (sqrt.f64 #s(literal -1 binary64)))>
#<alt (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 y (sqrt.f64 #s(literal -1 binary64))))) (*.f64 (sqrt.f64 x) (sqrt.f64 #s(literal -1 binary64))))>
#<alt (+.f64 (*.f64 y (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (/.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64))))) (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -1 binary64))))))) (*.f64 (sqrt.f64 x) (sqrt.f64 #s(literal -1 binary64))))>
#<alt (+.f64 (*.f64 y (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -1 binary64))))) (*.f64 y (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64))))) (*.f64 #s(literal 1/16 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (/.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64))))))))) (*.f64 (sqrt.f64 x) (sqrt.f64 #s(literal -1 binary64))))>
#<alt (sqrt.f64 y)>
#<alt (*.f64 y (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (*.f64 #s(literal -1/2 binary64) (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))))))))>
#<alt (*.f64 y (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))))) (*.f64 #s(literal -1/8 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 5 binary64)))))))))>
#<alt (*.f64 y (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))))) (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 5 binary64)))))) (*.f64 #s(literal -1/16 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 7 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 (*.f64 x (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #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 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 5 binary64)))))) (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #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 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 5 binary64)))))) (+.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 7 binary64)))))) (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #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 (sqrt.f64 y)>
#<alt (+.f64 (sqrt.f64 y) (*.f64 #s(literal -1/2 binary64) (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) y)))))>
#<alt (+.f64 (sqrt.f64 y) (*.f64 x (+.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) y))) (*.f64 #s(literal -1/8 binary64) (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))))))))>
#<alt (+.f64 (sqrt.f64 y) (*.f64 x (+.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) y))) (*.f64 x (+.f64 (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))))) (*.f64 #s(literal -1/16 binary64) (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 5 binary64)))))))))))>
#<alt (*.f64 (sqrt.f64 x) (sqrt.f64 #s(literal -1 binary64)))>
#<alt (*.f64 x (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (/.f64 y (sqrt.f64 #s(literal -1 binary64))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal -1 binary64)))))>
#<alt (*.f64 x (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64))))) (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (/.f64 y (sqrt.f64 #s(literal -1 binary64))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal -1 binary64))))))>
#<alt (*.f64 x (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64))))) (+.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 7 binary64)))) (/.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64))))) (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (/.f64 y (sqrt.f64 #s(literal -1 binary64))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal -1 binary64)))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 x) (sqrt.f64 #s(literal -1 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (*.f64 y (sqrt.f64 #s(literal -1 binary64))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal -1 binary64))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (*.f64 (pow.f64 y #s(literal 2 binary64)) (sqrt.f64 #s(literal -1 binary64))))) (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (*.f64 y (sqrt.f64 #s(literal -1 binary64))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal -1 binary64)))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (*.f64 (pow.f64 y #s(literal 2 binary64)) (sqrt.f64 #s(literal -1 binary64))))) (+.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 7 binary64)))) (*.f64 (pow.f64 y #s(literal 3 binary64)) (sqrt.f64 #s(literal -1 binary64))))) (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (*.f64 y (sqrt.f64 #s(literal -1 binary64))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal -1 binary64))))))))>
#<alt (*.f64 (sqrt.f64 x) (sqrt.f64 #s(literal -1 binary64)))>
#<alt (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 y (sqrt.f64 #s(literal -1 binary64))))) (*.f64 (sqrt.f64 x) (sqrt.f64 #s(literal -1 binary64))))>
#<alt (+.f64 (*.f64 y (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (/.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64))))) (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -1 binary64))))))) (*.f64 (sqrt.f64 x) (sqrt.f64 #s(literal -1 binary64))))>
#<alt (+.f64 (*.f64 y (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -1 binary64))))) (*.f64 y (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64))))) (*.f64 #s(literal 1/16 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (/.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64))))))))) (*.f64 (sqrt.f64 x) (sqrt.f64 #s(literal -1 binary64))))>
#<alt (sqrt.f64 y)>
#<alt (*.f64 y (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (*.f64 #s(literal -1/2 binary64) (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))))))))>
#<alt (*.f64 y (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))))) (*.f64 #s(literal -1/8 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 5 binary64)))))))))>
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#<alt (*.f64 (sqrt.f64 x) (sqrt.f64 #s(literal -1 binary64)))>
#<alt (*.f64 (sqrt.f64 x) (sqrt.f64 #s(literal -1 binary64)))>
#<alt (*.f64 (sqrt.f64 x) (sqrt.f64 #s(literal -1 binary64)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 x) (sqrt.f64 #s(literal -1 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 x) (sqrt.f64 #s(literal -1 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 x) (sqrt.f64 #s(literal -1 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 x) (sqrt.f64 #s(literal -1 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) x)>
#<alt (*.f64 #s(literal -1 binary64) x)>
#<alt (*.f64 #s(literal -1 binary64) x)>
#<alt (*.f64 #s(literal -1 binary64) x)>
#<alt (*.f64 #s(literal -1 binary64) x)>
#<alt (*.f64 #s(literal -1 binary64) x)>
#<alt (*.f64 #s(literal -1 binary64) x)>
#<alt (*.f64 #s(literal -1 binary64) x)>
#<alt (*.f64 #s(literal -1 binary64) x)>
#<alt (*.f64 #s(literal -1 binary64) x)>
#<alt (*.f64 #s(literal -1 binary64) x)>
#<alt (*.f64 #s(literal -1 binary64) x)>
#<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))))>
Calls

69 calls:

TimeVariablePointExpression
4.0ms
y
@inf
(sqrt (fabs (* x (- (/ y x) 1))))
3.0ms
y
@-inf
(sqrt (- y x))
2.0ms
x
@-inf
(pow (- y x) 3/2)
2.0ms
x
@0
(pow (- y x) 3/2)
2.0ms
y
@0
(pow (- y x) 3/2)

rewrite186.0ms (3%)

Algorithm
1×batch-egg-rewrite
Rules
822×log1p-expm1-u
822×expm1-log1p-u
301×fma-define
228×fmm-def
204×log1p-undefine
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
027253
1382233
24771230
Stop Event
1×node limit
Counts
13 → 420
Calls
Call 1
Inputs
(sqrt.f64 (-.f64 y x))
(cbrt.f64 (pow.f64 (-.f64 y x) #s(literal 3/2 binary64)))
(pow.f64 (-.f64 y x) #s(literal 3/2 binary64))
(pow.f64 (pow.f64 (-.f64 y x) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(pow.f64 (-.f64 y x) #s(literal 1/4 binary64))
(sqrt.f64 (fabs.f64 (*.f64 x (-.f64 (/.f64 y x) #s(literal 1 binary64)))))
(fabs.f64 (*.f64 x (-.f64 (/.f64 y x) #s(literal 1 binary64))))
(*.f64 x (-.f64 (/.f64 y x) #s(literal 1 binary64)))
(-.f64 (/.f64 y x) #s(literal 1 binary64))
(hypot.f64 (sqrt.f64 (neg.f64 x)) (sqrt.f64 y))
(sqrt.f64 (neg.f64 x))
(neg.f64 x)
(sqrt.f64 y)
Outputs
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (+.f64 y x)))) #s(literal 1 binary64))
(*.f64 (sqrt.f64 (+.f64 y x)) #s(literal 1 binary64))
(*.f64 (pow.f64 (+.f64 y x) #s(literal 1/4 binary64)) (pow.f64 (+.f64 y x) #s(literal 1/4 binary64)))
(*.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 y x)))
(*.f64 (cbrt.f64 (sqrt.f64 (+.f64 y x))) (cbrt.f64 (+.f64 y x)))
(*.f64 (cbrt.f64 (sqrt.f64 (+.f64 y x))) (*.f64 (cbrt.f64 (pow.f64 (+.f64 y x) #s(literal 1/4 binary64))) (pow.f64 (+.f64 y x) #s(literal 1/4 binary64))))
(*.f64 (cbrt.f64 (+.f64 y x)) (cbrt.f64 (sqrt.f64 (+.f64 y x))))
(*.f64 (pow.f64 (+.f64 y x) #s(literal 1/8 binary64)) (*.f64 (pow.f64 (+.f64 y x) #s(literal 1/8 binary64)) (pow.f64 (+.f64 y x) #s(literal 1/4 binary64))))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/2 binary64)) (sqrt.f64 (+.f64 y x)))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/3 binary64)) (sqrt.f64 (+.f64 y x)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 y x)) #s(literal 2 binary64)) #s(literal 1/2 binary64)) (pow.f64 (cbrt.f64 (+.f64 y x)) #s(literal 1/2 binary64)))
(*.f64 (*.f64 (pow.f64 (+.f64 y x) #s(literal 1/4 binary64)) (pow.f64 (+.f64 y x) #s(literal 1/8 binary64))) (pow.f64 (+.f64 y x) #s(literal 1/8 binary64)))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 y x)) #s(literal 2 binary64))) (sqrt.f64 (cbrt.f64 (+.f64 y x))))
(*.f64 (*.f64 (pow.f64 (+.f64 y x) #s(literal 1/4 binary64)) (cbrt.f64 (sqrt.f64 (+.f64 y x)))) (cbrt.f64 (pow.f64 (+.f64 y x) #s(literal 1/4 binary64))))
(/.f64 (+.f64 y x) (sqrt.f64 (+.f64 y x)))
(/.f64 (hypot.f64 (pow.f64 y #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3/2 binary64))) (hypot.f64 y (hypot.f64 x (sqrt.f64 (*.f64 y x)))))
(pow.f64 (+.f64 y x) #s(literal 1/2 binary64))
(pow.f64 (sqrt.f64 (+.f64 y x)) #s(literal 1 binary64))
(pow.f64 (pow.f64 (+.f64 y x) #s(literal 3/2 binary64)) #s(literal 1/3 binary64))
(pow.f64 (pow.f64 (+.f64 y x) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(pow.f64 (cbrt.f64 (sqrt.f64 (+.f64 y x))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (+.f64 y x) #s(literal 2 binary64)) #s(literal 1/4 binary64))
(fabs.f64 (sqrt.f64 (+.f64 y x)))
(log.f64 (exp.f64 (sqrt.f64 (+.f64 y x))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (sqrt.f64 (+.f64 y x)))))
(cbrt.f64 (pow.f64 (+.f64 y x) #s(literal 3/2 binary64)))
(expm1.f64 (log1p.f64 (sqrt.f64 (+.f64 y x))))
(hypot.f64 (sqrt.f64 y) (sqrt.f64 x))
(hypot.f64 (sqrt.f64 x) (sqrt.f64 y))
(log1p.f64 (expm1.f64 (sqrt.f64 (+.f64 y x))))
(exp.f64 (log.f64 (sqrt.f64 (+.f64 y x))))
(exp.f64 (*.f64 (*.f64 #s(literal 3/2 binary64) (log.f64 (+.f64 y x))) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (+.f64 y x)) #s(literal 1/2 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 y x))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (+.f64 y x)))) #s(literal 1 binary64))
(*.f64 (sqrt.f64 (+.f64 y x)) #s(literal 1 binary64))
(*.f64 (pow.f64 (+.f64 y x) #s(literal 1/4 binary64)) (pow.f64 (+.f64 y x) #s(literal 1/4 binary64)))
(*.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 y x)))
(*.f64 (cbrt.f64 (sqrt.f64 (+.f64 y x))) (cbrt.f64 (+.f64 y x)))
(*.f64 (cbrt.f64 (sqrt.f64 (+.f64 y x))) (*.f64 (cbrt.f64 (pow.f64 (+.f64 y x) #s(literal 1/4 binary64))) (pow.f64 (+.f64 y x) #s(literal 1/4 binary64))))
(*.f64 (cbrt.f64 (+.f64 y x)) (cbrt.f64 (sqrt.f64 (+.f64 y x))))
(*.f64 (pow.f64 (+.f64 y x) #s(literal 1/8 binary64)) (*.f64 (pow.f64 (+.f64 y x) #s(literal 1/8 binary64)) (pow.f64 (+.f64 y x) #s(literal 1/4 binary64))))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/2 binary64)) (sqrt.f64 (+.f64 y x)))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/3 binary64)) (sqrt.f64 (+.f64 y x)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 y x)) #s(literal 2 binary64)) #s(literal 1/2 binary64)) (pow.f64 (cbrt.f64 (+.f64 y x)) #s(literal 1/2 binary64)))
(*.f64 (*.f64 (pow.f64 (+.f64 y x) #s(literal 1/4 binary64)) (pow.f64 (+.f64 y x) #s(literal 1/8 binary64))) (pow.f64 (+.f64 y x) #s(literal 1/8 binary64)))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 y x)) #s(literal 2 binary64))) (sqrt.f64 (cbrt.f64 (+.f64 y x))))
(*.f64 (*.f64 (pow.f64 (+.f64 y x) #s(literal 1/4 binary64)) (cbrt.f64 (sqrt.f64 (+.f64 y x)))) (cbrt.f64 (pow.f64 (+.f64 y x) #s(literal 1/4 binary64))))
(/.f64 (+.f64 y x) (sqrt.f64 (+.f64 y x)))
(/.f64 (hypot.f64 (pow.f64 y #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3/2 binary64))) (hypot.f64 y (hypot.f64 x (sqrt.f64 (*.f64 y x)))))
(pow.f64 (+.f64 y x) #s(literal 1/2 binary64))
(pow.f64 (sqrt.f64 (+.f64 y x)) #s(literal 1 binary64))
(pow.f64 (pow.f64 (+.f64 y x) #s(literal 3/2 binary64)) #s(literal 1/3 binary64))
(pow.f64 (pow.f64 (+.f64 y x) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(pow.f64 (cbrt.f64 (sqrt.f64 (+.f64 y x))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (+.f64 y x) #s(literal 2 binary64)) #s(literal 1/4 binary64))
(sqrt.f64 (+.f64 y x))
(fabs.f64 (sqrt.f64 (+.f64 y x)))
(log.f64 (exp.f64 (sqrt.f64 (+.f64 y x))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (sqrt.f64 (+.f64 y x)))))
(expm1.f64 (log1p.f64 (sqrt.f64 (+.f64 y x))))
(hypot.f64 (sqrt.f64 y) (sqrt.f64 x))
(hypot.f64 (sqrt.f64 x) (sqrt.f64 y))
(log1p.f64 (expm1.f64 (sqrt.f64 (+.f64 y x))))
(exp.f64 (log.f64 (sqrt.f64 (+.f64 y x))))
(exp.f64 (*.f64 (*.f64 #s(literal 3/2 binary64) (log.f64 (+.f64 y x))) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (+.f64 y x)) #s(literal 1/2 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 y x))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (+.f64 y x) #s(literal 3/2 binary64)))) #s(literal 1 binary64))
(*.f64 (+.f64 y x) (sqrt.f64 (+.f64 y x)))
(*.f64 (sqrt.f64 (+.f64 y x)) (+.f64 y x))
(*.f64 (pow.f64 (+.f64 y x) #s(literal 3/2 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (pow.f64 (+.f64 y x) #s(literal 3/2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 y x)) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (+.f64 y x)) (sqrt.f64 (+.f64 y x))))
(*.f64 (pow.f64 (+.f64 y x) #s(literal 3/4 binary64)) (pow.f64 (+.f64 y x) #s(literal 3/4 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (+.f64 y x)) #s(literal 3/2 binary64)) (pow.f64 (sqrt.f64 (+.f64 y x)) #s(literal 3/2 binary64)))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 3/2 binary64)) (pow.f64 (+.f64 y x) #s(literal 3/2 binary64)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 y x)) #s(literal 2 binary64)) #s(literal 3/2 binary64)) (pow.f64 (cbrt.f64 (+.f64 y x)) #s(literal 3/2 binary64)))
(*.f64 (*.f64 (+.f64 y x) (pow.f64 (+.f64 y x) #s(literal 1/4 binary64))) (pow.f64 (+.f64 y x) #s(literal 1/4 binary64)))
(*.f64 (*.f64 (+.f64 y x) (cbrt.f64 (+.f64 y x))) (cbrt.f64 (sqrt.f64 (+.f64 y x))))
(/.f64 (*.f64 (pow.f64 (+.f64 y x) #s(literal 2 binary64)) (sqrt.f64 (+.f64 y x))) (+.f64 y x))
(/.f64 (*.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (sqrt.f64 (+.f64 y x))) (fma.f64 x (+.f64 y x) (pow.f64 y #s(literal 2 binary64))))
(sqrt.f64 (pow.f64 (+.f64 y x) #s(literal 3 binary64)))
(log.f64 (exp.f64 (pow.f64 (+.f64 y x) #s(literal 3/2 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (pow.f64 (+.f64 y x) #s(literal 3/2 binary64)))))
(cbrt.f64 (pow.f64 (pow.f64 (+.f64 y x) #s(literal 3/2 binary64)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (pow.f64 (+.f64 y x) #s(literal 3/2 binary64))))
(log1p.f64 (expm1.f64 (pow.f64 (+.f64 y x) #s(literal 3/2 binary64))))
(exp.f64 (*.f64 #s(literal 3/2 binary64) (log.f64 (+.f64 y x))))
(exp.f64 (*.f64 (*.f64 #s(literal 3/2 binary64) (log.f64 (+.f64 y x))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (+.f64 y x)))) #s(literal 1 binary64))
(*.f64 (sqrt.f64 (+.f64 y x)) #s(literal 1 binary64))
(*.f64 (pow.f64 (+.f64 y x) #s(literal 1/4 binary64)) (pow.f64 (+.f64 y x) #s(literal 1/4 binary64)))
(*.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 y x)))
(*.f64 (cbrt.f64 (sqrt.f64 (+.f64 y x))) (cbrt.f64 (+.f64 y x)))
(*.f64 (cbrt.f64 (sqrt.f64 (+.f64 y x))) (*.f64 (cbrt.f64 (pow.f64 (+.f64 y x) #s(literal 1/4 binary64))) (pow.f64 (+.f64 y x) #s(literal 1/4 binary64))))
(*.f64 (cbrt.f64 (+.f64 y x)) (cbrt.f64 (sqrt.f64 (+.f64 y x))))
(*.f64 (pow.f64 (+.f64 y x) #s(literal 1/8 binary64)) (*.f64 (pow.f64 (+.f64 y x) #s(literal 1/8 binary64)) (pow.f64 (+.f64 y x) #s(literal 1/4 binary64))))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/2 binary64)) (sqrt.f64 (+.f64 y x)))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/3 binary64)) (sqrt.f64 (+.f64 y x)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 y x)) #s(literal 2 binary64)) #s(literal 1/2 binary64)) (pow.f64 (cbrt.f64 (+.f64 y x)) #s(literal 1/2 binary64)))
(*.f64 (*.f64 (pow.f64 (+.f64 y x) #s(literal 1/4 binary64)) (pow.f64 (+.f64 y x) #s(literal 1/8 binary64))) (pow.f64 (+.f64 y x) #s(literal 1/8 binary64)))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 y x)) #s(literal 2 binary64))) (sqrt.f64 (cbrt.f64 (+.f64 y x))))
(*.f64 (*.f64 (pow.f64 (+.f64 y x) #s(literal 1/4 binary64)) (cbrt.f64 (sqrt.f64 (+.f64 y x)))) (cbrt.f64 (pow.f64 (+.f64 y x) #s(literal 1/4 binary64))))
(/.f64 (+.f64 y x) (sqrt.f64 (+.f64 y x)))
(/.f64 (hypot.f64 (pow.f64 y #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3/2 binary64))) (hypot.f64 y (hypot.f64 x (sqrt.f64 (*.f64 y x)))))
(sqrt.f64 (+.f64 y x))
(fabs.f64 (sqrt.f64 (+.f64 y x)))
(log.f64 (exp.f64 (sqrt.f64 (+.f64 y x))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (sqrt.f64 (+.f64 y x)))))
(cbrt.f64 (pow.f64 (+.f64 y x) #s(literal 3/2 binary64)))
(expm1.f64 (log1p.f64 (sqrt.f64 (+.f64 y x))))
(hypot.f64 (sqrt.f64 y) (sqrt.f64 x))
(hypot.f64 (sqrt.f64 x) (sqrt.f64 y))
(log1p.f64 (expm1.f64 (sqrt.f64 (+.f64 y x))))
(exp.f64 (log.f64 (sqrt.f64 (+.f64 y x))))
(exp.f64 (*.f64 (*.f64 #s(literal 3/2 binary64) (log.f64 (+.f64 y x))) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (+.f64 y x)) #s(literal 1/2 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 y x))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (+.f64 y x) #s(literal 1/4 binary64)))) #s(literal 1 binary64))
(*.f64 (pow.f64 (+.f64 y x) #s(literal 1/4 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (pow.f64 (+.f64 y x) #s(literal 1/4 binary64)))
(*.f64 (cbrt.f64 (sqrt.f64 (+.f64 y x))) (cbrt.f64 (pow.f64 (+.f64 y x) #s(literal 1/4 binary64))))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 y x) #s(literal 1/4 binary64))) (cbrt.f64 (sqrt.f64 (+.f64 y x))))
(*.f64 (pow.f64 (+.f64 y x) #s(literal 1/8 binary64)) (pow.f64 (+.f64 y x) #s(literal 1/8 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (+.f64 y x)) #s(literal 1/4 binary64)) (pow.f64 (sqrt.f64 (+.f64 y x)) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/4 binary64)) (pow.f64 (+.f64 y x) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 y x)) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (pow.f64 (cbrt.f64 (+.f64 y x)) #s(literal 1/4 binary64)))
(*.f64 (sqrt.f64 (cbrt.f64 (+.f64 y x))) (sqrt.f64 (cbrt.f64 (sqrt.f64 (+.f64 y x)))))
(sqrt.f64 (sqrt.f64 (+.f64 y x)))
(fabs.f64 (pow.f64 (+.f64 y x) #s(literal 1/4 binary64)))
(log.f64 (exp.f64 (pow.f64 (+.f64 y x) #s(literal 1/4 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (pow.f64 (+.f64 y x) #s(literal 1/4 binary64)))))
(cbrt.f64 (pow.f64 (+.f64 y x) #s(literal 3/4 binary64)))
(expm1.f64 (log1p.f64 (pow.f64 (+.f64 y x) #s(literal 1/4 binary64))))
(log1p.f64 (expm1.f64 (pow.f64 (+.f64 y x) #s(literal 1/4 binary64))))
(exp.f64 (*.f64 #s(literal 1/4 binary64) (log.f64 (+.f64 y x))))
(exp.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (log.f64 (+.f64 y x))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (fma.f64 x (/.f64 y x) x)))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x (/.f64 y x) x)))
(*.f64 (sqrt.f64 (fma.f64 x (/.f64 y x) x)) #s(literal 1 binary64))
(*.f64 (cbrt.f64 (sqrt.f64 (fma.f64 x (/.f64 y x) x))) (cbrt.f64 (fma.f64 x (/.f64 y x) x)))
(*.f64 (cbrt.f64 (fma.f64 x (/.f64 y x) x)) (cbrt.f64 (sqrt.f64 (fma.f64 x (/.f64 y x) x))))
(*.f64 (pow.f64 (fma.f64 x (/.f64 y x) x) #s(literal 1/4 binary64)) (pow.f64 (fma.f64 x (/.f64 y x) x) #s(literal 1/4 binary64)))
(*.f64 (sqrt.f64 (+.f64 (/.f64 y x) #s(literal -1 binary64))) (sqrt.f64 x))
(*.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 (/.f64 y x) #s(literal -1 binary64))))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/2 binary64)) (sqrt.f64 (fma.f64 x (/.f64 y x) x)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (fma.f64 x (/.f64 y x) x)) #s(literal 2 binary64)) #s(literal 1/2 binary64)) (pow.f64 (cbrt.f64 (fma.f64 x (/.f64 y x) x)) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 x (/.f64 y x) x)) #s(literal 2 binary64))) (sqrt.f64 (cbrt.f64 (fma.f64 x (/.f64 y x) x))))
(pow.f64 (fma.f64 x (/.f64 y x) x) #s(literal 1/2 binary64))
(pow.f64 (sqrt.f64 (fma.f64 x (/.f64 y x) x)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (sqrt.f64 (fma.f64 x (/.f64 y x) x))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (fma.f64 x (/.f64 y x) x) #s(literal 3/2 binary64)) #s(literal 1/3 binary64))
(pow.f64 (pow.f64 (fma.f64 x (/.f64 y x) x) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(fabs.f64 (sqrt.f64 (fma.f64 x (/.f64 y x) x)))
(log.f64 (exp.f64 (sqrt.f64 (fma.f64 x (/.f64 y x) x))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (sqrt.f64 (fma.f64 x (/.f64 y x) x)))))
(cbrt.f64 (pow.f64 (fma.f64 x (/.f64 y x) x) #s(literal 3/2 binary64)))
(expm1.f64 (log1p.f64 (sqrt.f64 (fma.f64 x (/.f64 y x) x))))
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(fabs.f64 (sqrt.f64 (+.f64 y x)))
(log.f64 (exp.f64 (sqrt.f64 (+.f64 y x))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (sqrt.f64 (+.f64 y x)))))
(cbrt.f64 (pow.f64 (+.f64 y x) #s(literal 3/2 binary64)))
(expm1.f64 (log1p.f64 (sqrt.f64 (+.f64 y x))))
(log1p.f64 (expm1.f64 (sqrt.f64 (+.f64 y x))))
(exp.f64 (log.f64 (sqrt.f64 (+.f64 y x))))
(exp.f64 (*.f64 (*.f64 #s(literal 3/2 binary64) (log.f64 (+.f64 y x))) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (+.f64 y x)) #s(literal 1/2 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 y x))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 x))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (sqrt.f64 x))
(*.f64 (cbrt.f64 (sqrt.f64 x)) (cbrt.f64 x))
(*.f64 (cbrt.f64 x) (cbrt.f64 (sqrt.f64 x)))
(*.f64 (pow.f64 x #s(literal 1/4 binary64)) (pow.f64 x #s(literal 1/4 binary64)))
(*.f64 (sqrt.f64 x) #s(literal 1 binary64))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/2 binary64)) (sqrt.f64 x))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) #s(literal 1/2 binary64)) (pow.f64 (cbrt.f64 x) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 #s(literal -1 binary64) #s(literal 1/2 binary64)) (sqrt.f64 x))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (sqrt.f64 (cbrt.f64 x)))
(*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 x))
(pow.f64 x #s(literal 1/2 binary64))
(pow.f64 (cbrt.f64 (sqrt.f64 x)) #s(literal 3 binary64))
(pow.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 1/3 binary64))
(pow.f64 (pow.f64 x #s(literal 1/4 binary64)) #s(literal 2 binary64))
(pow.f64 (sqrt.f64 x) #s(literal 1 binary64))
(fabs.f64 (sqrt.f64 x))
(log.f64 (exp.f64 (sqrt.f64 x)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (sqrt.f64 x))))
(cbrt.f64 (pow.f64 x #s(literal 3/2 binary64)))
(expm1.f64 (log1p.f64 (sqrt.f64 x)))
(log1p.f64 (expm1.f64 (sqrt.f64 x)))
(exp.f64 (log.f64 (sqrt.f64 x)))
(exp.f64 (*.f64 (log.f64 x) #s(literal 1/2 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 x)) #s(literal 1 binary64)))
(+.f64 #s(literal 0 binary64) x)
(-.f64 #s(literal 0 binary64) x)
(-.f64 (exp.f64 (log1p.f64 x)) #s(literal 1 binary64))
(*.f64 x #s(literal 1 binary64))
(*.f64 x #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) x)
(*.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)))
(*.f64 (cbrt.f64 x) (*.f64 (cbrt.f64 (sqrt.f64 x)) (sqrt.f64 x)))
(*.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (cbrt.f64 x))
(*.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (neg.f64 (cbrt.f64 x)))
(*.f64 (pow.f64 x #s(literal 1/4 binary64)) (*.f64 (pow.f64 x #s(literal 1/4 binary64)) (sqrt.f64 x)))
(*.f64 (sqrt.f64 x) (sqrt.f64 x))
(*.f64 (sqrt.f64 x) (neg.f64 (sqrt.f64 x)))
(*.f64 #s(literal -1 binary64) x)
(*.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x))
(*.f64 (*.f64 (sqrt.f64 x) (pow.f64 x #s(literal 1/4 binary64))) (pow.f64 x #s(literal 1/4 binary64)))
(*.f64 (fabs.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (fabs.f64 (cbrt.f64 x)))
(*.f64 (neg.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 x))
(*.f64 (*.f64 (sqrt.f64 x) (cbrt.f64 x)) (cbrt.f64 (sqrt.f64 x)))
(*.f64 (*.f64 #s(literal -1 binary64) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 x))
(*.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 x)) (sqrt.f64 x))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 x #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (fma.f64 x x (*.f64 #s(literal 0 binary64) x))))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 x #s(literal 2 binary64))) x)
(pow.f64 x #s(literal 1 binary64))
(pow.f64 (cbrt.f64 x) #s(literal 3 binary64))
(pow.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 x) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 x #s(literal 2 binary64)))
(fabs.f64 x)
(log.f64 (exp.f64 x))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 x)))
(cbrt.f64 (pow.f64 x #s(literal 3 binary64)))
x
(expm1.f64 (log1p.f64 x))
(log1p.f64 (expm1.f64 x))
(exp.f64 (log.f64 x))
(exp.f64 (*.f64 (log.f64 x) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 y))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (sqrt.f64 y))
(*.f64 (sqrt.f64 y) #s(literal 1 binary64))
(*.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)))

simplify343.0ms (5.5%)

Algorithm
1×egg-herbie
Rules
908×fma-define
654×distribute-lft-in
651×distribute-rgt-in
400×*-commutative
265×times-frac
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0113427959
1295726368
Stop Event
1×node limit
Counts
636 → 596
Calls
Call 1
Inputs
(*.f64 (sqrt.f64 x) (sqrt.f64 #s(literal -1 binary64)))
(+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 y (sqrt.f64 #s(literal -1 binary64))))) (*.f64 (sqrt.f64 x) (sqrt.f64 #s(literal -1 binary64))))
(+.f64 (*.f64 y (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (/.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64))))) (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -1 binary64))))))) (*.f64 (sqrt.f64 x) (sqrt.f64 #s(literal -1 binary64))))
(+.f64 (*.f64 y (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -1 binary64))))) (*.f64 y (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64))))) (*.f64 #s(literal 1/16 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (/.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64))))))))) (*.f64 (sqrt.f64 x) (sqrt.f64 #s(literal -1 binary64))))
(sqrt.f64 y)
(*.f64 y (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (*.f64 #s(literal -1/2 binary64) (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))))))))
(*.f64 y (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))))) (*.f64 #s(literal -1/8 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 5 binary64)))))))))
(*.f64 y (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))))) (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 5 binary64)))))) (*.f64 #s(literal -1/16 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 7 binary64))))))))))
(*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 y) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #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))))))
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 5 binary64)))))) (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #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)))))))
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 5 binary64)))))) (+.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 7 binary64)))))) (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #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))))))))
(sqrt.f64 y)
(+.f64 (sqrt.f64 y) (*.f64 #s(literal -1/2 binary64) (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) y)))))
(+.f64 (sqrt.f64 y) (*.f64 x (+.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) y))) (*.f64 #s(literal -1/8 binary64) (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))))))))
(+.f64 (sqrt.f64 y) (*.f64 x (+.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) y))) (*.f64 x (+.f64 (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))))) (*.f64 #s(literal -1/16 binary64) (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 5 binary64)))))))))))
(*.f64 (sqrt.f64 x) (sqrt.f64 #s(literal -1 binary64)))
(*.f64 x (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (/.f64 y (sqrt.f64 #s(literal -1 binary64))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal -1 binary64)))))
(*.f64 x (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64))))) (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (/.f64 y (sqrt.f64 #s(literal -1 binary64))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal -1 binary64))))))
(*.f64 x (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64))))) (+.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 7 binary64)))) (/.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64))))) (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (/.f64 y (sqrt.f64 #s(literal -1 binary64))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal -1 binary64)))))))
(*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 x) (sqrt.f64 #s(literal -1 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (*.f64 y (sqrt.f64 #s(literal -1 binary64))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal -1 binary64))))))
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (*.f64 (pow.f64 y #s(literal 2 binary64)) (sqrt.f64 #s(literal -1 binary64))))) (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (*.f64 y (sqrt.f64 #s(literal -1 binary64))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal -1 binary64)))))))
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (*.f64 (pow.f64 y #s(literal 2 binary64)) (sqrt.f64 #s(literal -1 binary64))))) (+.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 7 binary64)))) (*.f64 (pow.f64 y #s(literal 3 binary64)) (sqrt.f64 #s(literal -1 binary64))))) (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (*.f64 y (sqrt.f64 #s(literal -1 binary64))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal -1 binary64))))))))
(*.f64 (sqrt.f64 x) (sqrt.f64 #s(literal -1 binary64)))
(+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 y (sqrt.f64 #s(literal -1 binary64))))) (*.f64 (sqrt.f64 x) (sqrt.f64 #s(literal -1 binary64))))
(+.f64 (*.f64 y (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (/.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64))))) (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -1 binary64))))))) (*.f64 (sqrt.f64 x) (sqrt.f64 #s(literal -1 binary64))))
(+.f64 (*.f64 y (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -1 binary64))))) (*.f64 y (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64))))) (*.f64 #s(literal 1/16 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (/.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64))))))))) (*.f64 (sqrt.f64 x) (sqrt.f64 #s(literal -1 binary64))))
(sqrt.f64 y)
(*.f64 y (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (*.f64 #s(literal -1/2 binary64) (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))))))))
(*.f64 y (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))))) (*.f64 #s(literal -1/8 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 5 binary64)))))))))
(*.f64 y (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))))) (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 5 binary64)))))) (*.f64 #s(literal -1/16 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 7 binary64))))))))))
(*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 y) (cbrt.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64)))))
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(*.f64 #s(literal -1 binary64) x)
(*.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x))
(*.f64 (*.f64 (sqrt.f64 x) (pow.f64 x #s(literal 1/4 binary64))) (pow.f64 x #s(literal 1/4 binary64)))
(*.f64 (fabs.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (fabs.f64 (cbrt.f64 x)))
(*.f64 (neg.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 x))
(*.f64 (*.f64 (sqrt.f64 x) (cbrt.f64 x)) (cbrt.f64 (sqrt.f64 x)))
(*.f64 (*.f64 #s(literal -1 binary64) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 x))
(*.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 x)) (sqrt.f64 x))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 x #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (fma.f64 x x (*.f64 #s(literal 0 binary64) x))))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 x #s(literal 2 binary64))) x)
(pow.f64 x #s(literal 1 binary64))
(pow.f64 (cbrt.f64 x) #s(literal 3 binary64))
(pow.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 x) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 x #s(literal 2 binary64)))
(fabs.f64 x)
(log.f64 (exp.f64 x))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 x)))
(cbrt.f64 (pow.f64 x #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 x))
(log1p.f64 (expm1.f64 x))
(exp.f64 (log.f64 x))
(exp.f64 (*.f64 (log.f64 x) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 y))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (sqrt.f64 y))
(*.f64 (sqrt.f64 y) #s(literal 1 binary64))
(*.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)))
Outputs
(*.f64 (sqrt.f64 x) (sqrt.f64 #s(literal -1 binary64)))
(+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 y (sqrt.f64 #s(literal -1 binary64))))) (*.f64 (sqrt.f64 x) (sqrt.f64 #s(literal -1 binary64))))
(fma.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 y (sqrt.f64 #s(literal -1 binary64)))) (*.f64 (sqrt.f64 x) (sqrt.f64 #s(literal -1 binary64))))
(+.f64 (*.f64 y (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (/.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64))))) (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -1 binary64))))))) (*.f64 (sqrt.f64 x) (sqrt.f64 #s(literal -1 binary64))))
(fma.f64 y (fma.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (/.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64)))) (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -1 binary64)))))) (*.f64 (sqrt.f64 x) (sqrt.f64 #s(literal -1 binary64))))
(fma.f64 y (fma.f64 #s(literal 1/2 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal -1 binary64))) (*.f64 (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))))) (/.f64 y (*.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal -1 binary64)))))) (*.f64 (sqrt.f64 x) (sqrt.f64 #s(literal -1 binary64))))
(+.f64 (*.f64 y (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -1 binary64))))) (*.f64 y (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64))))) (*.f64 #s(literal 1/16 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (/.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64))))))))) (*.f64 (sqrt.f64 x) (sqrt.f64 #s(literal -1 binary64))))
(fma.f64 y (fma.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -1 binary64)))) (*.f64 y (fma.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64)))) (*.f64 #s(literal 1/16 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (/.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64)))))))) (*.f64 (sqrt.f64 x) (sqrt.f64 #s(literal -1 binary64))))
(fma.f64 y (fma.f64 y (fma.f64 #s(literal -1/8 binary64) (*.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (sqrt.f64 #s(literal -1 binary64))) #s(literal -1 binary64)) (*.f64 (*.f64 #s(literal 1/16 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64))))) (/.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64))))) (*.f64 #s(literal 1/2 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal -1 binary64))))) (*.f64 (sqrt.f64 x) (sqrt.f64 #s(literal -1 binary64))))
(sqrt.f64 y)
(*.f64 y (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (*.f64 #s(literal -1/2 binary64) (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))))))))
(*.f64 y (fma.f64 #s(literal -1/2 binary64) (*.f64 x (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 -1/2 binary64) (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))))) (*.f64 #s(literal -1/8 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 5 binary64)))))))))
(*.f64 y (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (fma.f64 #s(literal -1/2 binary64) (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))))) (*.f64 #s(literal -1/8 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 5 binary64)))))))))
(*.f64 y (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (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 5 binary64))))) (*.f64 (*.f64 #s(literal -1/2 binary64) x) (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) (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 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 5 binary64)))))) (*.f64 #s(literal -1/16 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 7 binary64))))))))))
(*.f64 y (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (fma.f64 #s(literal -1/2 binary64) (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 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 5 binary64))))) (*.f64 #s(literal -1/16 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 7 binary64))))))))))
(*.f64 y (+.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 x (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 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 5 binary64))))) (*.f64 (*.f64 #s(literal -1/16 binary64) (pow.f64 x #s(literal 3 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 7 binary64))))))))
(*.f64 #s(literal -1 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 (*.f64 x (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #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))))))
(*.f64 (neg.f64 y) (fma.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))) (*.f64 x (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))
(*.f64 (fma.f64 #s(literal -1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))) (neg.f64 x)))) (neg.f64 y))
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 5 binary64)))))) (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #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)))))))
(*.f64 (neg.f64 y) (fma.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 5 binary64)))) (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))) (fma.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))) (*.f64 x (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))))
(*.f64 y (neg.f64 (fma.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 5 binary64)))) (neg.f64 (pow.f64 x #s(literal 2 binary64)))) (fma.f64 #s(literal -1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))) (neg.f64 x)))))))
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 5 binary64)))))) (+.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 7 binary64)))))) (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #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))))))))
(*.f64 (neg.f64 y) (fma.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 5 binary64)))) (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))) (fma.f64 #s(literal 1/16 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 7 binary64)))))) (fma.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))) (*.f64 x (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))))
(*.f64 (fma.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 5 binary64)))) (neg.f64 (pow.f64 x #s(literal 2 binary64)))) (fma.f64 #s(literal 1/16 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 7 binary64)))) (neg.f64 (pow.f64 x #s(literal 3 binary64)))) (fma.f64 #s(literal -1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))) (neg.f64 x)))))) (neg.f64 y))
(sqrt.f64 y)
(+.f64 (sqrt.f64 y) (*.f64 #s(literal -1/2 binary64) (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) y)))))
(fma.f64 #s(literal -1/2 binary64) (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) y))) (sqrt.f64 y))
(+.f64 (sqrt.f64 y) (*.f64 x (+.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) y))) (*.f64 #s(literal -1/8 binary64) (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))))))))
(+.f64 (sqrt.f64 y) (*.f64 x (fma.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (*.f64 (*.f64 #s(literal -1/8 binary64) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))))))))
(fma.f64 x (fma.f64 #s(literal -1/8 binary64) (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) #s(literal -1/2 binary64))) (sqrt.f64 y))
(+.f64 (sqrt.f64 y) (*.f64 x (+.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) y))) (*.f64 x (+.f64 (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))))) (*.f64 #s(literal -1/16 binary64) (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 5 binary64)))))))))))
(+.f64 (sqrt.f64 y) (*.f64 x (fma.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (*.f64 x (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) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 5 binary64))))))))))
(fma.f64 x (fma.f64 x (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) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 5 binary64)))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) #s(literal -1/2 binary64))) (sqrt.f64 y))
(*.f64 (sqrt.f64 x) (sqrt.f64 #s(literal -1 binary64)))
(*.f64 x (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (/.f64 y (sqrt.f64 #s(literal -1 binary64))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal -1 binary64)))))
(*.f64 x (fma.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 y (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))
(*.f64 x (fma.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 y (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))))))))
(*.f64 x (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64))))) (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (/.f64 y (sqrt.f64 #s(literal -1 binary64))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal -1 binary64))))))
(*.f64 x (fma.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64)))) (fma.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 y (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))))
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(exp.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 y x))) #s(literal 1 binary64)))
(sqrt.f64 (+.f64 x y))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 x))) #s(literal 1 binary64))
(expm1.f64 (log1p.f64 (sqrt.f64 x)))
(*.f64 #s(literal 1 binary64) (sqrt.f64 x))
(sqrt.f64 x)
(*.f64 (cbrt.f64 (sqrt.f64 x)) (cbrt.f64 x))
(*.f64 (cbrt.f64 x) (cbrt.f64 (sqrt.f64 x)))
(*.f64 (cbrt.f64 x) (cbrt.f64 (sqrt.f64 x)))
(*.f64 (pow.f64 x #s(literal 1/4 binary64)) (pow.f64 x #s(literal 1/4 binary64)))
(sqrt.f64 x)
(*.f64 (sqrt.f64 x) #s(literal 1 binary64))
(sqrt.f64 x)
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/2 binary64)) (sqrt.f64 x))
(sqrt.f64 x)
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) #s(literal 1/2 binary64)) (pow.f64 (cbrt.f64 x) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (sqrt.f64 (cbrt.f64 x)))
(*.f64 (sqrt.f64 (cbrt.f64 x)) (fabs.f64 (cbrt.f64 x)))
(*.f64 (pow.f64 #s(literal -1 binary64) #s(literal 1/2 binary64)) (sqrt.f64 x))
(*.f64 (sqrt.f64 x) (sqrt.f64 #s(literal -1 binary64)))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (sqrt.f64 (cbrt.f64 x)))
(*.f64 (sqrt.f64 (cbrt.f64 x)) (fabs.f64 (cbrt.f64 x)))
(*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 x))
(*.f64 (sqrt.f64 x) (sqrt.f64 #s(literal -1 binary64)))
(pow.f64 x #s(literal 1/2 binary64))
(sqrt.f64 x)
(pow.f64 (cbrt.f64 (sqrt.f64 x)) #s(literal 3 binary64))
(sqrt.f64 x)
(pow.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 1/3 binary64))
(cbrt.f64 (pow.f64 x #s(literal 3/2 binary64)))
(pow.f64 (pow.f64 x #s(literal 1/4 binary64)) #s(literal 2 binary64))
(sqrt.f64 x)
(pow.f64 (sqrt.f64 x) #s(literal 1 binary64))
(sqrt.f64 x)
(fabs.f64 (sqrt.f64 x))
(sqrt.f64 x)
(log.f64 (exp.f64 (sqrt.f64 x)))
(sqrt.f64 x)
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (sqrt.f64 x))))
(sqrt.f64 x)
(cbrt.f64 (pow.f64 x #s(literal 3/2 binary64)))
(expm1.f64 (log1p.f64 (sqrt.f64 x)))
(log1p.f64 (expm1.f64 (sqrt.f64 x)))
(sqrt.f64 x)
(exp.f64 (log.f64 (sqrt.f64 x)))
(sqrt.f64 x)
(exp.f64 (*.f64 (log.f64 x) #s(literal 1/2 binary64)))
(sqrt.f64 x)
(exp.f64 (*.f64 (log.f64 (sqrt.f64 x)) #s(literal 1 binary64)))
(sqrt.f64 x)
(+.f64 #s(literal 0 binary64) x)
x
(-.f64 #s(literal 0 binary64) x)
(neg.f64 x)
(-.f64 (exp.f64 (log1p.f64 x)) #s(literal 1 binary64))
(expm1.f64 (log1p.f64 x))
(*.f64 x #s(literal 1 binary64))
x
(*.f64 x #s(literal -1 binary64))
(neg.f64 x)
(*.f64 #s(literal 1 binary64) x)
x
(*.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)))
x
(*.f64 (cbrt.f64 x) (*.f64 (cbrt.f64 (sqrt.f64 x)) (sqrt.f64 x)))
(*.f64 (cbrt.f64 x) (*.f64 (sqrt.f64 x) (cbrt.f64 (sqrt.f64 x))))
(*.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 (sqrt.f64 x)) #s(literal 4 binary64)))
(*.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (cbrt.f64 x))
x
(*.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (neg.f64 (cbrt.f64 x)))
(neg.f64 x)
(*.f64 (pow.f64 x #s(literal 1/4 binary64)) (*.f64 (pow.f64 x #s(literal 1/4 binary64)) (sqrt.f64 x)))
x
(*.f64 (sqrt.f64 x) (sqrt.f64 x))
x
(*.f64 (sqrt.f64 x) (neg.f64 (sqrt.f64 x)))
(neg.f64 x)
(*.f64 #s(literal -1 binary64) x)
(neg.f64 x)
(*.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x))
(neg.f64 x)
(*.f64 (*.f64 (sqrt.f64 x) (pow.f64 x #s(literal 1/4 binary64))) (pow.f64 x #s(literal 1/4 binary64)))
x
(*.f64 (fabs.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (fabs.f64 (cbrt.f64 x)))
x
(*.f64 (neg.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 x))
(neg.f64 x)
(*.f64 (*.f64 (sqrt.f64 x) (cbrt.f64 x)) (cbrt.f64 (sqrt.f64 x)))
(*.f64 (sqrt.f64 x) (*.f64 (cbrt.f64 x) (cbrt.f64 (sqrt.f64 x))))
(*.f64 (*.f64 #s(literal -1 binary64) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 x))
(neg.f64 x)
(*.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 x)) (sqrt.f64 x))
(neg.f64 x)
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 x #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (fma.f64 x x (*.f64 #s(literal 0 binary64) x))))
(/.f64 (neg.f64 (pow.f64 x #s(literal 3 binary64))) (fma.f64 x x #s(literal 0 binary64)))
(neg.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 x #s(literal 2 binary64))))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 x #s(literal 2 binary64))) x)
(/.f64 (neg.f64 (pow.f64 x #s(literal 2 binary64))) x)
(pow.f64 x #s(literal 1 binary64))
x
(pow.f64 (cbrt.f64 x) #s(literal 3 binary64))
x
(pow.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/2 binary64))
x
(pow.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/3 binary64))
x
(pow.f64 (sqrt.f64 x) #s(literal 2 binary64))
x
(sqrt.f64 (pow.f64 x #s(literal 2 binary64)))
x
(fabs.f64 x)
x
(log.f64 (exp.f64 x))
x
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 x)))
x
(cbrt.f64 (pow.f64 x #s(literal 3 binary64)))
x
(expm1.f64 (log1p.f64 x))
(log1p.f64 (expm1.f64 x))
x
(exp.f64 (log.f64 x))
x
(exp.f64 (*.f64 (log.f64 x) #s(literal 1 binary64)))
x
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 y))) #s(literal 1 binary64))
(expm1.f64 (log1p.f64 (sqrt.f64 y)))
(*.f64 #s(literal 1 binary64) (sqrt.f64 y))
(sqrt.f64 y)
(*.f64 (sqrt.f64 y) #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 (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)))
(sqrt.f64 y)
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/2 binary64)) (sqrt.f64 y))
(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)))
(*.f64 (fabs.f64 (cbrt.f64 y)) (sqrt.f64 (cbrt.f64 y)))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (sqrt.f64 (cbrt.f64 y)))
(*.f64 (fabs.f64 (cbrt.f64 y)) (sqrt.f64 (cbrt.f64 y)))
(pow.f64 y #s(literal 1/2 binary64))
(sqrt.f64 y)
(pow.f64 (sqrt.f64 y) #s(literal 1 binary64))
(sqrt.f64 y)
(pow.f64 (cbrt.f64 (sqrt.f64 y)) #s(literal 3 binary64))
(sqrt.f64 y)
(pow.f64 (pow.f64 y #s(literal 3/2 binary64)) #s(literal 1/3 binary64))
(cbrt.f64 (pow.f64 y #s(literal 3/2 binary64)))
(pow.f64 (pow.f64 y #s(literal 1/4 binary64)) #s(literal 2 binary64))
(sqrt.f64 y)
(fabs.f64 (sqrt.f64 y))
(sqrt.f64 y)
(log.f64 (exp.f64 (sqrt.f64 y)))
(sqrt.f64 y)
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (sqrt.f64 y))))
(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)))
(sqrt.f64 y)
(exp.f64 (log.f64 (sqrt.f64 y)))
(sqrt.f64 y)
(exp.f64 (*.f64 (log.f64 y) #s(literal 1/2 binary64)))
(sqrt.f64 y)
(exp.f64 (*.f64 (log.f64 (sqrt.f64 y)) #s(literal 1 binary64)))
(sqrt.f64 y)

eval110.0ms (1.8%)

Compiler

Compiled 13014 to 2560 computations (80.3% saved)

prune148.0ms (2.4%)

Pruning

6 alts after pruning (3 fresh and 3 done)

PrunedKeptTotal
New6323635
Fresh000
Picked235
Done000
Total6346640
Accuracy
100.0%
Counts
640 → 6
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓50.0%
(hypot.f64 (sqrt.f64 (neg.f64 x)) (sqrt.f64 y))
✓100.0%
(sqrt.f64 (-.f64 y x))
▶86.1%
(sqrt.f64 (*.f64 (+.f64 (/.f64 y x) #s(literal -1 binary64)) x))
▶49.6%
(sqrt.f64 (neg.f64 x))
▶51.4%
(sqrt.f64 y)
✓66.4%
(cbrt.f64 (pow.f64 (-.f64 y x) #s(literal 3/2 binary64)))
Compiler

Compiled 41 to 30 computations (26.8% saved)

simplify184.0ms (2.9%)

Algorithm
1×egg-herbie
Localize:

Found 7 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(/.f64 y x)
✓cost-diff0
(+.f64 (/.f64 y x) #s(literal -1 binary64))
✓cost-diff256
(*.f64 (+.f64 (/.f64 y x) #s(literal -1 binary64)) x)
✓cost-diff256
(sqrt.f64 (*.f64 (+.f64 (/.f64 y x) #s(literal -1 binary64)) x))
cost-diff0
(neg.f64 x)
cost-diff0
(sqrt.f64 (neg.f64 x))
cost-diff0
(sqrt.f64 y)
Rules
1187×fma-define
1008×fmm-def
639×associate-*r/
513×associate-*l/
465×times-frac
Iterations

Useful iterations: 5 (0.0ms)

IterNodesCost
016137
121137
231137
357137
479119
5118107
6294107
7712107
82063107
93873107
104378107
114701107
124801107
134831107
146115107
156759107
167563107
177867107
187981107
Stop Event
1×node limit
Calls
Call 1
Inputs
(sqrt.f64 y)
y
(sqrt.f64 (neg.f64 x))
(neg.f64 x)
x
(sqrt.f64 (*.f64 (+.f64 (/.f64 y x) #s(literal -1 binary64)) x))
(*.f64 (+.f64 (/.f64 y x) #s(literal -1 binary64)) x)
(+.f64 (/.f64 y x) #s(literal -1 binary64))
(/.f64 y x)
y
x
#s(literal -1 binary64)
Outputs
(sqrt.f64 y)
y
(sqrt.f64 (neg.f64 x))
(neg.f64 x)
x
(sqrt.f64 (*.f64 (+.f64 (/.f64 y x) #s(literal -1 binary64)) x))
(sqrt.f64 (*.f64 x (+.f64 (/.f64 y x) #s(literal -1 binary64))))
(sqrt.f64 (-.f64 (*.f64 y #s(literal 1 binary64)) x))
(sqrt.f64 (-.f64 y x))
(*.f64 (+.f64 (/.f64 y x) #s(literal -1 binary64)) x)
(*.f64 x (+.f64 (/.f64 y x) #s(literal -1 binary64)))
(-.f64 (*.f64 y #s(literal 1 binary64)) x)
(-.f64 y x)
(+.f64 (/.f64 y x) #s(literal -1 binary64))
(/.f64 y x)
y
x
#s(literal -1 binary64)

localize34.0ms (0.5%)

Localize:

Found 7 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(/.f64 y x)
✓accuracy100.0%
(+.f64 (/.f64 y x) #s(literal -1 binary64))
✓accuracy100.0%
(sqrt.f64 (*.f64 (+.f64 (/.f64 y x) #s(literal -1 binary64)) x))
✓accuracy92.7%
(*.f64 (+.f64 (/.f64 y x) #s(literal -1 binary64)) x)
accuracy100.0%
(sqrt.f64 (neg.f64 x))
accuracy100.0%
(neg.f64 x)
accuracy100.0%
(sqrt.f64 y)
Results
11.0ms128×0invalid
10.0ms126×0valid
1.0ms2×5exit
Compiler

Compiled 37 to 12 computations (67.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 13.0ms
ival-sqrt: 6.0ms (45.8% of total)
ival-div: 2.0ms (15.3% of total)
ival-mult: 2.0ms (15.3% of total)
ival-add: 1.0ms (7.6% of total)
ival-neg: 1.0ms (7.6% of total)
adjust: 0.0ms (0% of total)
...in/eval/compile.rkt:76:19: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series8.0ms (0.1%)

Counts
4 → 72
Calls
Call 1
Inputs
#<alt (sqrt.f64 (*.f64 (+.f64 (/.f64 y x) #s(literal -1 binary64)) x))>
#<alt (*.f64 (+.f64 (/.f64 y x) #s(literal -1 binary64)) x)>
#<alt (+.f64 (/.f64 y x) #s(literal -1 binary64))>
#<alt (/.f64 y x)>
Outputs
#<alt (*.f64 (sqrt.f64 x) (sqrt.f64 #s(literal -1 binary64)))>
#<alt (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 y (sqrt.f64 #s(literal -1 binary64))))) (*.f64 (sqrt.f64 x) (sqrt.f64 #s(literal -1 binary64))))>
#<alt (+.f64 (*.f64 y (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (/.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64))))) (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -1 binary64))))))) (*.f64 (sqrt.f64 x) (sqrt.f64 #s(literal -1 binary64))))>
#<alt (+.f64 (*.f64 y (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -1 binary64))))) (*.f64 y (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64))))) (*.f64 #s(literal 1/16 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (/.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64))))))))) (*.f64 (sqrt.f64 x) (sqrt.f64 #s(literal -1 binary64))))>
#<alt (sqrt.f64 y)>
#<alt (*.f64 y (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (*.f64 #s(literal -1/2 binary64) (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))))))))>
#<alt (*.f64 y (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))))) (*.f64 #s(literal -1/8 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 5 binary64)))))))))>
#<alt (*.f64 y (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))))) (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 5 binary64)))))) (*.f64 #s(literal -1/16 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 7 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 (*.f64 x (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #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 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 5 binary64)))))) (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #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 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 5 binary64)))))) (+.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 7 binary64)))))) (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #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 (sqrt.f64 y)>
#<alt (+.f64 (sqrt.f64 y) (*.f64 #s(literal -1/2 binary64) (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) y)))))>
#<alt (+.f64 (sqrt.f64 y) (*.f64 x (+.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) y))) (*.f64 #s(literal -1/8 binary64) (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))))))))>
#<alt (+.f64 (sqrt.f64 y) (*.f64 x (+.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) y))) (*.f64 x (+.f64 (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))))) (*.f64 #s(literal -1/16 binary64) (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 5 binary64)))))))))))>
#<alt (*.f64 (sqrt.f64 x) (sqrt.f64 #s(literal -1 binary64)))>
#<alt (*.f64 x (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (/.f64 y (sqrt.f64 #s(literal -1 binary64))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal -1 binary64)))))>
#<alt (*.f64 x (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64))))) (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (/.f64 y (sqrt.f64 #s(literal -1 binary64))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal -1 binary64))))))>
#<alt (*.f64 x (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64))))) (+.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 7 binary64)))) (/.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64))))) (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (/.f64 y (sqrt.f64 #s(literal -1 binary64))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal -1 binary64)))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 x) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (*.f64 y (sqrt.f64 #s(literal -1 binary64))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (*.f64 y (sqrt.f64 #s(literal -1 binary64))))) (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (/.f64 (pow.f64 y #s(literal 2 binary64)) (sqrt.f64 #s(literal -1 binary64))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64)))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (*.f64 y (sqrt.f64 #s(literal -1 binary64))))) (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (/.f64 (pow.f64 y #s(literal 2 binary64)) (sqrt.f64 #s(literal -1 binary64))))) (+.f64 (*.f64 #s(literal -1/16 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 7 binary64)))) (/.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64))))))))>
#<alt (*.f64 #s(literal -1 binary64) x)>
#<alt (+.f64 y (*.f64 #s(literal -1 binary64) x))>
#<alt (+.f64 y (*.f64 #s(literal -1 binary64) x))>
#<alt (+.f64 y (*.f64 #s(literal -1 binary64) x))>
#<alt y>
#<alt (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 x y))))>
#<alt (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 x y))))>
#<alt (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 x y))))>
#<alt y>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (/.f64 x y) #s(literal 1 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (/.f64 x y) #s(literal 1 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (/.f64 x y) #s(literal 1 binary64))))>
#<alt y>
#<alt (+.f64 y (*.f64 #s(literal -1 binary64) x))>
#<alt (+.f64 y (*.f64 #s(literal -1 binary64) x))>
#<alt (+.f64 y (*.f64 #s(literal -1 binary64) x))>
#<alt (*.f64 #s(literal -1 binary64) x)>
#<alt (*.f64 x (-.f64 (/.f64 y x) #s(literal 1 binary64)))>
#<alt (*.f64 x (-.f64 (/.f64 y x) #s(literal 1 binary64)))>
#<alt (*.f64 x (-.f64 (/.f64 y x) #s(literal 1 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 binary64) (/.f64 y x)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 y x)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 y x)))))>
#<alt #s(literal -1 binary64)>
#<alt (-.f64 (/.f64 y x) #s(literal 1 binary64))>
#<alt (-.f64 (/.f64 y x) #s(literal 1 binary64))>
#<alt (-.f64 (/.f64 y x) #s(literal 1 binary64))>
#<alt (/.f64 y x)>
#<alt (*.f64 y (-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) y)))>
#<alt (*.f64 y (-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) y)))>
#<alt (*.f64 y (-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) y)))>
#<alt (/.f64 y x)>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 1 binary64) x))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 1 binary64) x))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 1 binary64) x))))>
#<alt (/.f64 y x)>
#<alt (/.f64 (+.f64 y (*.f64 #s(literal -1 binary64) x)) x)>
#<alt (/.f64 (+.f64 y (*.f64 #s(literal -1 binary64) x)) x)>
#<alt (/.f64 (+.f64 y (*.f64 #s(literal -1 binary64) x)) x)>
#<alt #s(literal -1 binary64)>
#<alt (-.f64 (/.f64 y x) #s(literal 1 binary64))>
#<alt (-.f64 (/.f64 y x) #s(literal 1 binary64))>
#<alt (-.f64 (/.f64 y x) #s(literal 1 binary64))>
#<alt #s(literal -1 binary64)>
#<alt (-.f64 (/.f64 y x) #s(literal 1 binary64))>
#<alt (-.f64 (/.f64 y x) #s(literal 1 binary64))>
#<alt (-.f64 (/.f64 y x) #s(literal 1 binary64))>
Calls

24 calls:

TimeVariablePointExpression
2.0ms
x
@-inf
(sqrt (* (+ (/ y x) -1) x))
1.0ms
y
@-inf
(sqrt (* (+ (/ y x) -1) x))
0.0ms
x
@inf
(sqrt (* (+ (/ y x) -1) x))
0.0ms
y
@0
(sqrt (* (+ (/ y x) -1) x))
0.0ms
y
@-inf
(/ y x)

rewrite141.0ms (2.2%)

Algorithm
1×batch-egg-rewrite
Rules
781×unpow-prod-down
717×log1p-expm1-u
717×expm1-log1p-u
373×log-prod
133×pow-to-exp
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01392
114592
2191992
Stop Event
1×node limit
Counts
4 → 267
Calls
Call 1
Inputs
(sqrt.f64 (*.f64 (+.f64 (/.f64 y x) #s(literal -1 binary64)) x))
(*.f64 (+.f64 (/.f64 y x) #s(literal -1 binary64)) x)
(+.f64 (/.f64 y x) #s(literal -1 binary64))
(/.f64 y x)
Outputs
(+.f64 #s(literal 0 binary64) (sqrt.f64 (*.f64 x (+.f64 (/.f64 y x) #s(literal -1 binary64)))))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (*.f64 x (+.f64 (/.f64 y x) #s(literal -1 binary64)))))) (cbrt.f64 (exp.f64 (sqrt.f64 (*.f64 x (+.f64 (/.f64 y x) #s(literal -1 binary64)))))))) (log.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (*.f64 x (+.f64 (/.f64 y x) #s(literal -1 binary64))))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (*.f64 x (+.f64 (/.f64 y x) #s(literal -1 binary64))))))) (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (*.f64 x (+.f64 (/.f64 y x) #s(literal -1 binary64))))))))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (*.f64 x (+.f64 (/.f64 y x) #s(literal -1 binary64)))))) #s(literal 1 binary64))
(*.f64 (sqrt.f64 (*.f64 x (+.f64 (/.f64 y x) #s(literal -1 binary64)))) #s(literal 1 binary64))
(*.f64 (sqrt.f64 (*.f64 x (+.f64 (/.f64 y x) #s(literal -1 binary64)))) (log.f64 (exp.f64 #s(literal 1 binary64))))
(*.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 x (+.f64 (/.f64 y x) #s(literal -1 binary64)))))
(*.f64 (pow.f64 (*.f64 x (+.f64 (/.f64 y x) #s(literal -1 binary64))) #s(literal 1/6 binary64)) (cbrt.f64 (*.f64 x (+.f64 (/.f64 y x) #s(literal -1 binary64)))))
(*.f64 (pow.f64 (*.f64 x (+.f64 (/.f64 y x) #s(literal -1 binary64))) #s(literal 1/6 binary64)) (pow.f64 (*.f64 (pow.f64 (*.f64 x (+.f64 (/.f64 y x) #s(literal -1 binary64))) #s(literal 1/6 binary64)) (sqrt.f64 (*.f64 x (+.f64 (/.f64 y x) #s(literal -1 binary64))))) #s(literal 1/2 binary64)))
(*.f64 (cbrt.f64 (+.f64 (/.f64 y x) #s(literal -1 binary64))) (pow.f64 (*.f64 x (sqrt.f64 (*.f64 x (+.f64 (/.f64 y x) #s(literal -1 binary64))))) #s(literal 1/3 binary64)))
(*.f64 (cbrt.f64 (*.f64 x (+.f64 (/.f64 y x) #s(literal -1 binary64)))) (pow.f64 (*.f64 x (+.f64 (/.f64 y x) #s(literal -1 binary64))) #s(literal 1/6 binary64)))
(*.f64 (cbrt.f64 (*.f64 x (+.f64 (/.f64 y x) #s(literal -1 binary64)))) (pow.f64 (cbrt.f64 (pow.f64 (*.f64 x (+.f64 (/.f64 y x) #s(literal -1 binary64))) #s(literal 1/4 binary64))) #s(literal 2 binary64)))
(*.f64 (cbrt.f64 x) (pow.f64 (*.f64 (+.f64 (/.f64 y x) #s(literal -1 binary64)) (sqrt.f64 (*.f64 x (+.f64 (/.f64 y x) #s(literal -1 binary64))))) #s(literal 1/3 binary64)))
(*.f64 (sqrt.f64 (+.f64 (/.f64 y x) #s(literal -1 binary64))) (sqrt.f64 x))
(*.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 (/.f64 y x) #s(literal -1 binary64))))
(*.f64 (pow.f64 (*.f64 x (+.f64 (/.f64 y x) #s(literal -1 binary64))) #s(literal 1/4 binary64)) (pow.f64 (*.f64 x (+.f64 (/.f64 y x) #s(literal -1 binary64))) #s(literal 1/4 binary64)))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 x (+.f64 (/.f64 y x) #s(literal -1 binary64)))) #s(literal 2 binary64))) (sqrt.f64 (cbrt.f64 (*.f64 x (+.f64 (/.f64 y x) #s(literal -1 binary64))))))
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (*.f64 x (+.f64 (/.f64 y x) #s(literal -1 binary64))))) #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (pow.f64 (*.f64 x (+.f64 (/.f64 y x) #s(literal -1 binary64))) #s(literal 1/6 binary64))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 x (+.f64 (/.f64 y x) #s(literal -1 binary64)))) #s(literal 2 binary64))) #s(literal 1 binary64)) (pow.f64 (sqrt.f64 (cbrt.f64 (*.f64 x (+.f64 (/.f64 y x) #s(literal -1 binary64))))) #s(literal 1 binary64)))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/3 binary64)) (sqrt.f64 (*.f64 x (+.f64 (/.f64 y x) #s(literal -1 binary64)))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 y x) #s(literal -1 binary64))) #s(literal 2 binary64)) #s(literal 1/2 binary64)) (pow.f64 (*.f64 (cbrt.f64 (+.f64 (/.f64 y x) #s(literal -1 binary64))) x) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (+.f64 (/.f64 y x) #s(literal -1 binary64))) #s(literal 1/2 binary64)) (pow.f64 (*.f64 (sqrt.f64 (+.f64 (/.f64 y x) #s(literal -1 binary64))) x) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (+.f64 (/.f64 y x) #s(literal -1 binary64))) #s(literal 1/2 binary64)) (pow.f64 (*.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 x (+.f64 (/.f64 y x) #s(literal -1 binary64))))) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) #s(literal 1/2 binary64)) (pow.f64 (*.f64 (cbrt.f64 x) (+.f64 (/.f64 y x) #s(literal -1 binary64))) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (sqrt.f64 x) #s(literal 1/2 binary64)) (pow.f64 (*.f64 (sqrt.f64 x) (+.f64 (/.f64 y x) #s(literal -1 binary64))) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (+.f64 (/.f64 y x) #s(literal -1 binary64)))) #s(literal 3 binary64)) (pow.f64 (cbrt.f64 (sqrt.f64 x)) #s(literal 3 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (sqrt.f64 (+.f64 (/.f64 y x) #s(literal -1 binary64)))) #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (sqrt.f64 x)) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 x (+.f64 (/.f64 y x) #s(literal -1 binary64))))) #s(literal 3 binary64)) (pow.f64 (cbrt.f64 (pow.f64 (*.f64 x (+.f64 (/.f64 y x) #s(literal -1 binary64))) #s(literal 1/6 binary64))) #s(literal 3 binary64)))
(*.f64 (pow.f64 (pow.f64 (*.f64 x (+.f64 (/.f64 y x) #s(literal -1 binary64))) #s(literal 1/4 binary64)) #s(literal 1/2 binary64)) (pow.f64 (*.f64 (pow.f64 (*.f64 x (+.f64 (/.f64 y x) #s(literal -1 binary64))) #s(literal 1/4 binary64)) (sqrt.f64 (*.f64 x (+.f64 (/.f64 y x) #s(literal -1 binary64))))) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (*.f64 x (+.f64 (/.f64 y x) #s(literal -1 binary64)))) #s(literal 2 binary64)) #s(literal 1/3 binary64)) (pow.f64 (*.f64 (cbrt.f64 (*.f64 x (+.f64 (/.f64 y x) #s(literal -1 binary64)))) (sqrt.f64 (*.f64 x (+.f64 (/.f64 y x) #s(literal -1 binary64))))) #s(literal 1/3 binary64)))
(*.f64 (pow.f64 (*.f64 (sqrt.f64 (*.f64 x (+.f64 (/.f64 y x) #s(literal -1 binary64)))) (pow.f64 (*.f64 x (+.f64 (/.f64 y x) #s(literal -1 binary64))) #s(literal 1/4 binary64))) #s(literal 1/3 binary64)) (pow.f64 (*.f64 (sqrt.f64 (*.f64 x (+.f64 (/.f64 y x) #s(literal -1 binary64)))) (pow.f64 (*.f64 x (+.f64 (/.f64 y x) #s(literal -1 binary64))) #s(literal 1/4 binary64))) #s(literal 1/3 binary64)))
(*.f64 (pow.f64 (*.f64 (sqrt.f64 (*.f64 x (+.f64 (/.f64 y x) #s(literal -1 binary64)))) (pow.f64 (*.f64 x (+.f64 (/.f64 y x) #s(literal -1 binary64))) #s(literal 1/4 binary64))) #s(literal 1/2 binary64)) (pow.f64 (pow.f64 (*.f64 x (+.f64 (/.f64 y x) #s(literal -1 binary64))) #s(literal 1/4 binary64)) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (*.f64 x (pow.f64 (cbrt.f64 (+.f64 (/.f64 y x) #s(literal -1 binary64))) #s(literal 2 binary64))) #s(literal 1/2 binary64)) (pow.f64 (cbrt.f64 (+.f64 (/.f64 y x) #s(literal -1 binary64))) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (*.f64 x (sqrt.f64 (+.f64 (/.f64 y x) #s(literal -1 binary64)))) #s(literal 1/2 binary64)) (pow.f64 (sqrt.f64 (+.f64 (/.f64 y x) #s(literal -1 binary64))) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (*.f64 (+.f64 (/.f64 y x) #s(literal -1 binary64)) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) #s(literal 1/2 binary64)) (pow.f64 (cbrt.f64 x) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (*.f64 (+.f64 (/.f64 y x) #s(literal -1 binary64)) (sqrt.f64 x)) #s(literal 1/2 binary64)) (pow.f64 (sqrt.f64 x) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (*.f64 (sqrt.f64 (*.f64 x (+.f64 (/.f64 y x) #s(literal -1 binary64)))) (cbrt.f64 (*.f64 x (+.f64 (/.f64 y x) #s(literal -1 binary64))))) #s(literal 1/2 binary64)) (pow.f64 (pow.f64 (*.f64 x (+.f64 (/.f64 y x) #s(literal -1 binary64))) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (*.f64 (sqrt.f64 (*.f64 x (+.f64 (/.f64 y x) #s(literal -1 binary64)))) (sqrt.f64 (+.f64 (/.f64 y x) #s(literal -1 binary64)))) #s(literal 1/2 binary64)) (pow.f64 (sqrt.f64 x) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (*.f64 x (+.f64 (/.f64 y x) #s(literal -1 binary64))) #s(literal 1/4 binary64))) #s(literal 3 binary64)) (pow.f64 (cbrt.f64 (pow.f64 (*.f64 x (+.f64 (/.f64 y x) #s(literal -1 binary64))) #s(literal 1/4 binary64))) #s(literal 3 binary64)))
(*.f64 (pow.f64 (*.f64 (cbrt.f64 (pow.f64 (*.f64 x (+.f64 (/.f64 y x) #s(literal -1 binary64))) #s(literal 1/6 binary64))) (cbrt.f64 (pow.f64 (*.f64 x (+.f64 (/.f64 y x) #s(literal -1 binary64))) #s(literal 1/6 binary64)))) #s(literal 3 binary64)) (pow.f64 (cbrt.f64 (pow.f64 (*.f64 x (+.f64 (/.f64 y x) #s(literal -1 binary64))) #s(literal 1/6 binary64))) #s(literal 3 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (*.f64 x (+.f64 (/.f64 y x) #s(literal -1 binary64))) #s(literal 1/6 binary64))) #s(literal 3 binary64)) (pow.f64 (sqrt.f64 (pow.f64 (*.f64 x (+.f64 (/.f64 y x) #s(literal -1 binary64))) #s(literal 1/6 binary64))) #s(literal 3 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (*.f64 x (+.f64 (/.f64 y x) #s(literal -1 binary64))) #s(literal 3/2 binary64))) #s(literal 1/3 binary64)) (pow.f64 (sqrt.f64 (pow.f64 (*.f64 x (+.f64 (/.f64 y x) #s(literal -1 binary64))) #s(literal 3/2 binary64))) #s(literal 1/3 binary64)))
(*.f64 (pow.f64 (*.f64 (*.f64 x (+.f64 (/.f64 y x) #s(literal -1 binary64))) (cbrt.f64 (*.f64 x (+.f64 (/.f64 y x) #s(literal -1 binary64))))) #s(literal 1/3 binary64)) (pow.f64 (pow.f64 (*.f64 x (+.f64 (/.f64 y x) #s(literal -1 binary64))) #s(literal 1/6 binary64)) #s(literal 1/3 binary64)))
(*.f64 (pow.f64 (*.f64 (*.f64 x (+.f64 (/.f64 y x) #s(literal -1 binary64))) (sqrt.f64 (+.f64 (/.f64 y x) #s(literal -1 binary64)))) #s(literal 1/3 binary64)) (pow.f64 (sqrt.f64 x) #s(literal 1/3 binary64)))
(*.f64 (pow.f64 (*.f64 (*.f64 x (+.f64 (/.f64 y x) #s(literal -1 binary64))) (pow.f64 (*.f64 x (+.f64 (/.f64 y x) #s(literal -1 binary64))) #s(literal 1/4 binary64))) #s(literal 1/3 binary64)) (pow.f64 (pow.f64 (*.f64 x (+.f64 (/.f64 y x) #s(literal -1 binary64))) #s(literal 1/4 binary64)) #s(literal 1/3 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (*.f64 x (+.f64 (/.f64 y x) #s(literal -1 binary64))) #s(literal 1/4 binary64))) #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (pow.f64 (*.f64 x (+.f64 (/.f64 y x) #s(literal -1 binary64))) #s(literal 1/4 binary64))) #s(literal 2 binary64)))
(pow.f64 (*.f64 x (+.f64 (/.f64 y x) #s(literal -1 binary64))) #s(literal 1/2 binary64))
(pow.f64 (sqrt.f64 (*.f64 x (+.f64 (/.f64 y x) #s(literal -1 binary64)))) #s(literal 1 binary64))
(pow.f64 (pow.f64 (*.f64 x (+.f64 (/.f64 y x) #s(literal -1 binary64))) #s(literal 1/6 binary64)) #s(literal 3 binary64))
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(*.f64 y (pow.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)))
(*.f64 y (pow.f64 (pow.f64 x #s(literal -3 binary64)) #s(literal 1/3 binary64)))
(*.f64 y (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)))
(*.f64 (/.f64 y x) #s(literal 1 binary64))
(*.f64 (/.f64 y x) (log.f64 (exp.f64 #s(literal 1 binary64))))
(*.f64 #s(literal 1 binary64) (/.f64 y x))
(*.f64 (cbrt.f64 (/.f64 y x)) (pow.f64 (cbrt.f64 (/.f64 y x)) #s(literal 2 binary64)))
(*.f64 (cbrt.f64 (/.f64 y x)) (pow.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal 1/3 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 y x)) #s(literal 2 binary64)) (cbrt.f64 (/.f64 y x)))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 y x)) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 (sqrt.f64 (/.f64 y x))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (/.f64 (cbrt.f64 y) x))
(*.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (*.f64 (cbrt.f64 y) (/.f64 #s(literal 1 binary64) x)))
(*.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (pow.f64 (/.f64 (cbrt.f64 y) x) #s(literal 1 binary64)))
(*.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (pow.f64 (*.f64 (cbrt.f64 y) (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)))
(*.f64 (sqrt.f64 (/.f64 y x)) (sqrt.f64 (/.f64 y x)))
(*.f64 (sqrt.f64 y) (/.f64 (sqrt.f64 y) x))
(*.f64 (sqrt.f64 y) (*.f64 (sqrt.f64 y) (/.f64 #s(literal 1 binary64) x)))
(*.f64 (sqrt.f64 y) (pow.f64 (/.f64 (sqrt.f64 y) x) #s(literal 1 binary64)))
(*.f64 (sqrt.f64 y) (pow.f64 (*.f64 (sqrt.f64 y) (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)))
(*.f64 (neg.f64 y) (/.f64 #s(literal 1 binary64) (neg.f64 x)))
(*.f64 (neg.f64 y) (pow.f64 (/.f64 #s(literal 1 binary64) (neg.f64 x)) #s(literal 1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) x) y)
(*.f64 (/.f64 #s(literal 1 binary64) x) (pow.f64 (/.f64 #s(literal 1 binary64) y) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (/.f64 y (cbrt.f64 x)))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (pow.f64 (/.f64 (cbrt.f64 x) y) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 y (sqrt.f64 x)))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (pow.f64 (/.f64 (sqrt.f64 x) y) #s(literal -1 binary64)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (cbrt.f64 y) x))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 (/.f64 y x)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (sqrt.f64 x)) (/.f64 (cbrt.f64 y) (sqrt.f64 x)))
(*.f64 (/.f64 (sqrt.f64 y) #s(literal 1 binary64)) (/.f64 (sqrt.f64 y) x))
(*.f64 (/.f64 (sqrt.f64 y) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (/.f64 (sqrt.f64 y) (cbrt.f64 x)))
(*.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (/.f64 y x))) #s(literal 3 binary64)) (pow.f64 (cbrt.f64 (sqrt.f64 (/.f64 y x))) #s(literal 3 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (/.f64 y x))) #s(literal 3 binary64)) (pow.f64 (sqrt.f64 (cbrt.f64 (/.f64 y x))) #s(literal 3 binary64)))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/3 binary64)) (/.f64 y x))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) #s(literal 1 binary64)) (pow.f64 (/.f64 y (cbrt.f64 x)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 1 binary64)) (pow.f64 (/.f64 y (sqrt.f64 x)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (/.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (pow.f64 (/.f64 (cbrt.f64 y) x) #s(literal 1 binary64)))
(*.f64 (pow.f64 (/.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) #s(literal 1 binary64)) (cbrt.f64 (/.f64 y x)))
(*.f64 (pow.f64 (/.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (sqrt.f64 x)) #s(literal 1 binary64)) (pow.f64 (/.f64 (cbrt.f64 y) (sqrt.f64 x)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (/.f64 (sqrt.f64 y) #s(literal 1 binary64)) #s(literal 1 binary64)) (pow.f64 (/.f64 (sqrt.f64 y) x) #s(literal 1 binary64)))
(*.f64 (pow.f64 (/.f64 (sqrt.f64 y) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) #s(literal 1 binary64)) (pow.f64 (/.f64 (sqrt.f64 y) (cbrt.f64 x)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (/.f64 y x)) #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 y x))) #s(literal 3 binary64)))
(*.f64 (pow.f64 (*.f64 (cbrt.f64 (cbrt.f64 (/.f64 y x))) (cbrt.f64 (cbrt.f64 (/.f64 y x)))) #s(literal 3 binary64)) (pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 y x))) #s(literal 3 binary64)))
(*.f64 (pow.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (/.f64 y x)))
(*.f64 (pow.f64 (pow.f64 (/.f64 y x) #s(literal 3/2 binary64)) #s(literal 1/3 binary64)) (pow.f64 (pow.f64 (/.f64 y x) #s(literal 3/2 binary64)) #s(literal 1/3 binary64)))
(*.f64 (pow.f64 (*.f64 (/.f64 y x) (sqrt.f64 (/.f64 y x))) #s(literal 1/3 binary64)) (pow.f64 (*.f64 (/.f64 y x) (sqrt.f64 (/.f64 y x))) #s(literal 1/3 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (/.f64 y x) #s(literal 3 binary64))) #s(literal 1/3 binary64)) (pow.f64 (sqrt.f64 (pow.f64 (/.f64 y x) #s(literal 3 binary64))) #s(literal 1/3 binary64)))
(*.f64 (pow.f64 (*.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) y) #s(literal 1/3 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/3 binary64)))
(*.f64 (pow.f64 (*.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 (/.f64 y x)) #s(literal 2 binary64))) #s(literal 1/3 binary64)) (pow.f64 (cbrt.f64 (/.f64 y x)) #s(literal 1/3 binary64)))
(*.f64 (pow.f64 (*.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) (sqrt.f64 (/.f64 y x))) #s(literal 1/3 binary64)) (pow.f64 (sqrt.f64 (/.f64 y x)) #s(literal 1/3 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 y x)) #s(literal 2 binary64))) #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (cbrt.f64 (/.f64 y x))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (sqrt.f64 (/.f64 y x))) #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (sqrt.f64 (/.f64 y x))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (*.f64 (cbrt.f64 (/.f64 x y)) (cbrt.f64 (/.f64 x y))) #s(literal -1 binary64)) (cbrt.f64 (/.f64 y x)))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) #s(literal -1 binary64)) (pow.f64 (/.f64 x (cbrt.f64 y)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 y)) #s(literal -1 binary64)) (pow.f64 (/.f64 x (sqrt.f64 y)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) (pow.f64 (/.f64 (cbrt.f64 x) y) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) #s(literal -1 binary64)) (pow.f64 (/.f64 (cbrt.f64 x) (cbrt.f64 y)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (sqrt.f64 y)) #s(literal -1 binary64)) (pow.f64 (/.f64 (cbrt.f64 x) (sqrt.f64 y)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 (sqrt.f64 x) #s(literal 1 binary64)) #s(literal -1 binary64)) (pow.f64 (/.f64 (sqrt.f64 x) y) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) #s(literal -1 binary64)) (pow.f64 (/.f64 (sqrt.f64 x) (cbrt.f64 y)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 (sqrt.f64 x) (sqrt.f64 y)) #s(literal -1 binary64)) (pow.f64 (/.f64 (sqrt.f64 x) (sqrt.f64 y)) #s(literal -1 binary64)))
(pow.f64 (/.f64 y x) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (/.f64 y x)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (/.f64 y x) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (/.f64 y x)) #s(literal 2 binary64))
(pow.f64 (/.f64 x y) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 x y) #s(literal 1 binary64)) #s(literal -1 binary64))
(neg.f64 (/.f64 y (neg.f64 x)))
(neg.f64 (/.f64 (neg.f64 y) x))
(sqrt.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)))
(log.f64 (exp.f64 (/.f64 y x)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 y x))))
(cbrt.f64 (pow.f64 (/.f64 y x) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (/.f64 y x)))
(log1p.f64 (expm1.f64 (/.f64 y x)))
(exp.f64 (log.f64 (/.f64 y x)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (/.f64 y x))) #s(literal 3 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 3 binary64) (log.f64 (/.f64 y x))) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 y x))) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (/.f64 x y)) #s(literal -1 binary64)))

simplify312.0ms (5%)

Algorithm
1×egg-herbie
Rules
503×unswap-sqr
474×associate-*r*
457×associate-*l*
332×*-commutative
314×fmm-def
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
08144294980285
117634294979555
256464294978010
Stop Event
1×node limit
Counts
339 → 479
Calls
Call 1
Inputs
(*.f64 (sqrt.f64 x) (sqrt.f64 #s(literal -1 binary64)))
(+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 y (sqrt.f64 #s(literal -1 binary64))))) (*.f64 (sqrt.f64 x) (sqrt.f64 #s(literal -1 binary64))))
(+.f64 (*.f64 y (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (/.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64))))) (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -1 binary64))))))) (*.f64 (sqrt.f64 x) (sqrt.f64 #s(literal -1 binary64))))
(+.f64 (*.f64 y (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -1 binary64))))) (*.f64 y (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64))))) (*.f64 #s(literal 1/16 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (/.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64))))))))) (*.f64 (sqrt.f64 x) (sqrt.f64 #s(literal -1 binary64))))
(sqrt.f64 y)
(*.f64 y (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (*.f64 #s(literal -1/2 binary64) (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))))))))
(*.f64 y (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))))) (*.f64 #s(literal -1/8 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 5 binary64)))))))))
(*.f64 y (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))))) (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 5 binary64)))))) (*.f64 #s(literal -1/16 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 7 binary64))))))))))
(*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 y) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #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))))))
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 5 binary64)))))) (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #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)))))))
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 5 binary64)))))) (+.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 7 binary64)))))) (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #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))))))))
(sqrt.f64 y)
(+.f64 (sqrt.f64 y) (*.f64 #s(literal -1/2 binary64) (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) y)))))
(+.f64 (sqrt.f64 y) (*.f64 x (+.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) y))) (*.f64 #s(literal -1/8 binary64) (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))))))))
(+.f64 (sqrt.f64 y) (*.f64 x (+.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) y))) (*.f64 x (+.f64 (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))))) (*.f64 #s(literal -1/16 binary64) (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 5 binary64)))))))))))
(*.f64 (sqrt.f64 x) (sqrt.f64 #s(literal -1 binary64)))
(*.f64 x (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (/.f64 y (sqrt.f64 #s(literal -1 binary64))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal -1 binary64)))))
(*.f64 x (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64))))) (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (/.f64 y (sqrt.f64 #s(literal -1 binary64))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal -1 binary64))))))
(*.f64 x (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64))))) (+.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 7 binary64)))) (/.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64))))) (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (/.f64 y (sqrt.f64 #s(literal -1 binary64))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal -1 binary64)))))))
(*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 x) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (*.f64 y (sqrt.f64 #s(literal -1 binary64))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64))))))
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (*.f64 y (sqrt.f64 #s(literal -1 binary64))))) (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (/.f64 (pow.f64 y #s(literal 2 binary64)) (sqrt.f64 #s(literal -1 binary64))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64)))))))
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(*.f64 #s(literal -1 binary64) x)
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(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/3 binary64)) (/.f64 y x))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) #s(literal 1 binary64)) (pow.f64 (/.f64 y (cbrt.f64 x)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 1 binary64)) (pow.f64 (/.f64 y (sqrt.f64 x)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (/.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (pow.f64 (/.f64 (cbrt.f64 y) x) #s(literal 1 binary64)))
(*.f64 (pow.f64 (/.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) #s(literal 1 binary64)) (cbrt.f64 (/.f64 y x)))
(*.f64 (pow.f64 (/.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (sqrt.f64 x)) #s(literal 1 binary64)) (pow.f64 (/.f64 (cbrt.f64 y) (sqrt.f64 x)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (/.f64 (sqrt.f64 y) #s(literal 1 binary64)) #s(literal 1 binary64)) (pow.f64 (/.f64 (sqrt.f64 y) x) #s(literal 1 binary64)))
(*.f64 (pow.f64 (/.f64 (sqrt.f64 y) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) #s(literal 1 binary64)) (pow.f64 (/.f64 (sqrt.f64 y) (cbrt.f64 x)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (/.f64 y x)) #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 y x))) #s(literal 3 binary64)))
(*.f64 (pow.f64 (*.f64 (cbrt.f64 (cbrt.f64 (/.f64 y x))) (cbrt.f64 (cbrt.f64 (/.f64 y x)))) #s(literal 3 binary64)) (pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 y x))) #s(literal 3 binary64)))
(*.f64 (pow.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (/.f64 y x)))
(*.f64 (pow.f64 (pow.f64 (/.f64 y x) #s(literal 3/2 binary64)) #s(literal 1/3 binary64)) (pow.f64 (pow.f64 (/.f64 y x) #s(literal 3/2 binary64)) #s(literal 1/3 binary64)))
(*.f64 (pow.f64 (*.f64 (/.f64 y x) (sqrt.f64 (/.f64 y x))) #s(literal 1/3 binary64)) (pow.f64 (*.f64 (/.f64 y x) (sqrt.f64 (/.f64 y x))) #s(literal 1/3 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (/.f64 y x) #s(literal 3 binary64))) #s(literal 1/3 binary64)) (pow.f64 (sqrt.f64 (pow.f64 (/.f64 y x) #s(literal 3 binary64))) #s(literal 1/3 binary64)))
(*.f64 (pow.f64 (*.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) y) #s(literal 1/3 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/3 binary64)))
(*.f64 (pow.f64 (*.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 (/.f64 y x)) #s(literal 2 binary64))) #s(literal 1/3 binary64)) (pow.f64 (cbrt.f64 (/.f64 y x)) #s(literal 1/3 binary64)))
(*.f64 (pow.f64 (*.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) (sqrt.f64 (/.f64 y x))) #s(literal 1/3 binary64)) (pow.f64 (sqrt.f64 (/.f64 y x)) #s(literal 1/3 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 y x)) #s(literal 2 binary64))) #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (cbrt.f64 (/.f64 y x))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (sqrt.f64 (/.f64 y x))) #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (sqrt.f64 (/.f64 y x))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (*.f64 (cbrt.f64 (/.f64 x y)) (cbrt.f64 (/.f64 x y))) #s(literal -1 binary64)) (cbrt.f64 (/.f64 y x)))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) #s(literal -1 binary64)) (pow.f64 (/.f64 x (cbrt.f64 y)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 y)) #s(literal -1 binary64)) (pow.f64 (/.f64 x (sqrt.f64 y)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) (pow.f64 (/.f64 (cbrt.f64 x) y) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) #s(literal -1 binary64)) (pow.f64 (/.f64 (cbrt.f64 x) (cbrt.f64 y)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (sqrt.f64 y)) #s(literal -1 binary64)) (pow.f64 (/.f64 (cbrt.f64 x) (sqrt.f64 y)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 (sqrt.f64 x) #s(literal 1 binary64)) #s(literal -1 binary64)) (pow.f64 (/.f64 (sqrt.f64 x) y) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) #s(literal -1 binary64)) (pow.f64 (/.f64 (sqrt.f64 x) (cbrt.f64 y)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 (sqrt.f64 x) (sqrt.f64 y)) #s(literal -1 binary64)) (pow.f64 (/.f64 (sqrt.f64 x) (sqrt.f64 y)) #s(literal -1 binary64)))
(pow.f64 (/.f64 y x) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (/.f64 y x)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (/.f64 y x) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (/.f64 y x)) #s(literal 2 binary64))
(pow.f64 (/.f64 x y) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 x y) #s(literal 1 binary64)) #s(literal -1 binary64))
(neg.f64 (/.f64 y (neg.f64 x)))
(neg.f64 (/.f64 (neg.f64 y) x))
(sqrt.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)))
(log.f64 (exp.f64 (/.f64 y x)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 y x))))
(cbrt.f64 (pow.f64 (/.f64 y x) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (/.f64 y x)))
(log1p.f64 (expm1.f64 (/.f64 y x)))
(exp.f64 (log.f64 (/.f64 y x)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (/.f64 y x))) #s(literal 3 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 3 binary64) (log.f64 (/.f64 y x))) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 y x))) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (/.f64 x y)) #s(literal -1 binary64)))
Outputs
(*.f64 (sqrt.f64 x) (sqrt.f64 #s(literal -1 binary64)))
(+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 y (sqrt.f64 #s(literal -1 binary64))))) (*.f64 (sqrt.f64 x) (sqrt.f64 #s(literal -1 binary64))))
(fma.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 y (sqrt.f64 #s(literal -1 binary64)))) (*.f64 (sqrt.f64 x) (sqrt.f64 #s(literal -1 binary64))))
(fma.f64 (sqrt.f64 x) (sqrt.f64 #s(literal -1 binary64)) (*.f64 (/.f64 y (sqrt.f64 #s(literal -1 binary64))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))
(+.f64 (*.f64 y (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (/.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64))))) (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -1 binary64))))))) (*.f64 (sqrt.f64 x) (sqrt.f64 #s(literal -1 binary64))))
(fma.f64 y (fma.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (/.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64)))) (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -1 binary64)))))) (*.f64 (sqrt.f64 x) (sqrt.f64 #s(literal -1 binary64))))
(fma.f64 y (fma.f64 #s(literal 1/2 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal -1 binary64))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (*.f64 (/.f64 y (*.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal -1 binary64)))) #s(literal -1/8 binary64)))) (*.f64 (sqrt.f64 x) (sqrt.f64 #s(literal -1 binary64))))
(fma.f64 y (fma.f64 #s(literal 1/2 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal -1 binary64))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (*.f64 (/.f64 y (neg.f64 (sqrt.f64 #s(literal -1 binary64)))) #s(literal -1/8 binary64)))) (*.f64 (sqrt.f64 x) (sqrt.f64 #s(literal -1 binary64))))
(+.f64 (*.f64 y (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -1 binary64))))) (*.f64 y (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64))))) (*.f64 #s(literal 1/16 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (/.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64))))))))) (*.f64 (sqrt.f64 x) (sqrt.f64 #s(literal -1 binary64))))
(fma.f64 y (fma.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -1 binary64)))) (*.f64 y (fma.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64)))) (*.f64 #s(literal 1/16 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (/.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64)))))))) (*.f64 (sqrt.f64 x) (sqrt.f64 #s(literal -1 binary64))))
(fma.f64 y (fma.f64 y (fma.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (/.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal -1 binary64)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (*.f64 (/.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64))) #s(literal 1/16 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal -1 binary64))))) (*.f64 (sqrt.f64 x) (sqrt.f64 #s(literal -1 binary64))))
(fma.f64 y (fma.f64 y (fma.f64 #s(literal -1/8 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (sqrt.f64 #s(literal -1 binary64)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (*.f64 (/.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64))) #s(literal 1/16 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal -1 binary64))))) (*.f64 (sqrt.f64 x) (sqrt.f64 #s(literal -1 binary64))))
(sqrt.f64 y)
(*.f64 y (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (*.f64 #s(literal -1/2 binary64) (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))))))))
(*.f64 y (fma.f64 #s(literal -1/2 binary64) (*.f64 x (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 -1/2 binary64) (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))))) (*.f64 #s(literal -1/8 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 5 binary64)))))))))
(*.f64 y (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (fma.f64 #s(literal -1/2 binary64) (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))))) (*.f64 #s(literal -1/8 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 5 binary64)))))))))
(*.f64 y (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (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 5 binary64))))) (*.f64 x (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))) #s(literal -1/2 binary64))))))
(*.f64 y (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))))) (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 5 binary64)))))) (*.f64 #s(literal -1/16 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 7 binary64))))))))))
(*.f64 y (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (fma.f64 #s(literal -1/2 binary64) (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 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 5 binary64))))) (*.f64 #s(literal -1/16 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 7 binary64))))))))))
(*.f64 y (+.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 x (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 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 5 binary64))))) (*.f64 (pow.f64 x #s(literal 3 binary64)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 7 binary64)))) #s(literal -1/16 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 (*.f64 x (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #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))))))
(*.f64 (neg.f64 y) (fma.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #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)))))
(*.f64 (fma.f64 #s(literal -1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (*.f64 x (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))) #s(literal -1/2 binary64)))) (neg.f64 y))
(*.f64 (fma.f64 (*.f64 x #s(literal -1/2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))) (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)))) (neg.f64 y))
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 5 binary64)))))) (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #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)))))))
(*.f64 (neg.f64 y) (fma.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 5 binary64)))) (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))) (fma.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #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))))))
(*.f64 y (neg.f64 (fma.f64 (*.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 5 binary64)))) (fma.f64 #s(literal -1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (*.f64 x (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))) #s(literal -1/2 binary64)))))))
(*.f64 y (neg.f64 (fma.f64 (*.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 5 binary64)))) (fma.f64 (*.f64 x #s(literal -1/2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))) (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)))))))
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(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/3 binary64)) (/.f64 y x))
(/.f64 y x)
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) #s(literal 1 binary64)) (pow.f64 (/.f64 y (cbrt.f64 x)) #s(literal 1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (/.f64 y (cbrt.f64 x)))
(/.f64 (/.f64 y (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 1 binary64)) (pow.f64 (/.f64 y (sqrt.f64 x)) #s(literal 1 binary64)))
(/.f64 (*.f64 #s(literal 1 binary64) (/.f64 y (sqrt.f64 x))) (sqrt.f64 x))
(/.f64 (/.f64 y (sqrt.f64 x)) (sqrt.f64 x))
(*.f64 (pow.f64 (/.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (pow.f64 (/.f64 (cbrt.f64 y) x) #s(literal 1 binary64)))
(/.f64 y x)
(*.f64 (pow.f64 (/.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) #s(literal 1 binary64)) (cbrt.f64 (/.f64 y x)))
(*.f64 (cbrt.f64 (/.f64 y x)) (/.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))))
(*.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (/.f64 (cbrt.f64 (/.f64 y x)) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))))
(*.f64 (pow.f64 (/.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (sqrt.f64 x)) #s(literal 1 binary64)) (pow.f64 (/.f64 (cbrt.f64 y) (sqrt.f64 x)) #s(literal 1 binary64)))
(/.f64 (*.f64 #s(literal 1 binary64) (/.f64 y (sqrt.f64 x))) (sqrt.f64 x))
(/.f64 (/.f64 y (sqrt.f64 x)) (sqrt.f64 x))
(*.f64 (pow.f64 (/.f64 (sqrt.f64 y) #s(literal 1 binary64)) #s(literal 1 binary64)) (pow.f64 (/.f64 (sqrt.f64 y) x) #s(literal 1 binary64)))
(/.f64 y x)
(*.f64 (pow.f64 (/.f64 (sqrt.f64 y) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) #s(literal 1 binary64)) (pow.f64 (/.f64 (sqrt.f64 y) (cbrt.f64 x)) #s(literal 1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (/.f64 y (cbrt.f64 x)))
(/.f64 (/.f64 y (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (/.f64 y x)) #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 y x))) #s(literal 3 binary64)))
(/.f64 y x)
(*.f64 (pow.f64 (*.f64 (cbrt.f64 (cbrt.f64 (/.f64 y x))) (cbrt.f64 (cbrt.f64 (/.f64 y x)))) #s(literal 3 binary64)) (pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 y x))) #s(literal 3 binary64)))
(/.f64 y x)
(*.f64 (pow.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (/.f64 y x)))
(*.f64 (cbrt.f64 (/.f64 y x)) (cbrt.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64))))
(*.f64 (pow.f64 (pow.f64 (/.f64 y x) #s(literal 3/2 binary64)) #s(literal 1/3 binary64)) (pow.f64 (pow.f64 (/.f64 y x) #s(literal 3/2 binary64)) #s(literal 1/3 binary64)))
(*.f64 (cbrt.f64 (pow.f64 (/.f64 y x) #s(literal 3/2 binary64))) (cbrt.f64 (pow.f64 (/.f64 y x) #s(literal 3/2 binary64))))
(*.f64 (pow.f64 (*.f64 (/.f64 y x) (sqrt.f64 (/.f64 y x))) #s(literal 1/3 binary64)) (pow.f64 (*.f64 (/.f64 y x) (sqrt.f64 (/.f64 y x))) #s(literal 1/3 binary64)))
(/.f64 y x)
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (/.f64 y x) #s(literal 3 binary64))) #s(literal 1/3 binary64)) (pow.f64 (sqrt.f64 (pow.f64 (/.f64 y x) #s(literal 3 binary64))) #s(literal 1/3 binary64)))
(*.f64 (cbrt.f64 (sqrt.f64 (pow.f64 (/.f64 y x) #s(literal 3 binary64)))) (cbrt.f64 (sqrt.f64 (pow.f64 (/.f64 y x) #s(literal 3 binary64)))))
(*.f64 (pow.f64 (*.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) y) #s(literal 1/3 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/3 binary64)))
(*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) x)) (cbrt.f64 (*.f64 y (pow.f64 (/.f64 y x) #s(literal 2 binary64)))))
(*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) x)) (cbrt.f64 (*.f64 x (pow.f64 (/.f64 y x) #s(literal 3 binary64)))))
(*.f64 (pow.f64 (*.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 (/.f64 y x)) #s(literal 2 binary64))) #s(literal 1/3 binary64)) (pow.f64 (cbrt.f64 (/.f64 y x)) #s(literal 1/3 binary64)))
(*.f64 (cbrt.f64 (cbrt.f64 (/.f64 y x))) (cbrt.f64 (*.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 (/.f64 y x)) #s(literal 2 binary64)))))
(*.f64 (cbrt.f64 (cbrt.f64 (/.f64 y x))) (cbrt.f64 (*.f64 (pow.f64 (cbrt.f64 (/.f64 y x)) #s(literal 7 binary64)) (cbrt.f64 (/.f64 y x)))))
(*.f64 (pow.f64 (*.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) (sqrt.f64 (/.f64 y x))) #s(literal 1/3 binary64)) (pow.f64 (sqrt.f64 (/.f64 y x)) #s(literal 1/3 binary64)))
(*.f64 (cbrt.f64 (sqrt.f64 (/.f64 y x))) (cbrt.f64 (*.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) (sqrt.f64 (/.f64 y x)))))
(*.f64 (cbrt.f64 (sqrt.f64 (/.f64 y x))) (cbrt.f64 (pow.f64 (sqrt.f64 (/.f64 y x)) #s(literal 5 binary64))))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 y x)) #s(literal 2 binary64))) #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (cbrt.f64 (/.f64 y x))) #s(literal 2 binary64)))
(/.f64 y x)
(*.f64 (pow.f64 (sqrt.f64 (sqrt.f64 (/.f64 y x))) #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (sqrt.f64 (/.f64 y x))) #s(literal 2 binary64)))
(/.f64 y x)
(*.f64 (pow.f64 (*.f64 (cbrt.f64 (/.f64 x y)) (cbrt.f64 (/.f64 x y))) #s(literal -1 binary64)) (cbrt.f64 (/.f64 y x)))
(*.f64 (cbrt.f64 (/.f64 y x)) (/.f64 #s(literal 1 binary64) (*.f64 (cbrt.f64 (/.f64 x y)) (cbrt.f64 (/.f64 x y)))))
(*.f64 (cbrt.f64 (/.f64 y x)) (/.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 (/.f64 x y))) (cbrt.f64 (/.f64 x y))))
(/.f64 (cbrt.f64 (/.f64 y x)) (*.f64 (cbrt.f64 (/.f64 x y)) (cbrt.f64 (/.f64 x y))))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) #s(literal -1 binary64)) (pow.f64 (/.f64 x (cbrt.f64 y)) #s(literal -1 binary64)))
(/.f64 y x)
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 y)) #s(literal -1 binary64)) (pow.f64 (/.f64 x (sqrt.f64 y)) #s(literal -1 binary64)))
(/.f64 y x)
(*.f64 (pow.f64 (/.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) (pow.f64 (/.f64 (cbrt.f64 x) y) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (/.f64 (cbrt.f64 x) y)))
(/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (/.f64 (cbrt.f64 x) y))
(*.f64 (pow.f64 (/.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) #s(literal -1 binary64)) (pow.f64 (/.f64 (cbrt.f64 x) (cbrt.f64 y)) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (/.f64 (cbrt.f64 x) (cbrt.f64 y))))
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (*.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 x)) (cbrt.f64 y)))
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (/.f64 (cbrt.f64 x) (cbrt.f64 y)))
(*.f64 (pow.f64 (/.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (sqrt.f64 y)) #s(literal -1 binary64)) (pow.f64 (/.f64 (cbrt.f64 x) (sqrt.f64 y)) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (sqrt.f64 y))) (/.f64 #s(literal 1 binary64) (/.f64 (cbrt.f64 x) (sqrt.f64 y))))
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (sqrt.f64 y)) (*.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 x)) (sqrt.f64 y)))
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 x)) (sqrt.f64 y)) (/.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (sqrt.f64 y)))
(*.f64 (pow.f64 (/.f64 (sqrt.f64 x) #s(literal 1 binary64)) #s(literal -1 binary64)) (pow.f64 (/.f64 (sqrt.f64 x) y) #s(literal -1 binary64)))
(/.f64 (*.f64 #s(literal 1 binary64) (/.f64 y (sqrt.f64 x))) (sqrt.f64 x))
(/.f64 (/.f64 y (sqrt.f64 x)) (sqrt.f64 x))
(*.f64 (pow.f64 (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) #s(literal -1 binary64)) (pow.f64 (/.f64 (sqrt.f64 x) (cbrt.f64 y)) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 x) (cbrt.f64 y))))
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (cbrt.f64 y)))
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (/.f64 (sqrt.f64 x) (cbrt.f64 y)))
(*.f64 (pow.f64 (/.f64 (sqrt.f64 x) (sqrt.f64 y)) #s(literal -1 binary64)) (pow.f64 (/.f64 (sqrt.f64 x) (sqrt.f64 y)) #s(literal -1 binary64)))
(pow.f64 (/.f64 (sqrt.f64 x) (sqrt.f64 y)) #s(literal -2 binary64))
(pow.f64 (/.f64 y x) #s(literal 1 binary64))
(/.f64 y x)
(pow.f64 (cbrt.f64 (/.f64 y x)) #s(literal 3 binary64))
(/.f64 y x)
(pow.f64 (pow.f64 (/.f64 y x) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(/.f64 y x)
(pow.f64 (sqrt.f64 (/.f64 y x)) #s(literal 2 binary64))
(/.f64 y x)
(pow.f64 (/.f64 x y) #s(literal -1 binary64))
(/.f64 y x)
(pow.f64 (/.f64 (/.f64 x y) #s(literal 1 binary64)) #s(literal -1 binary64))
(/.f64 y x)
(neg.f64 (/.f64 y (neg.f64 x)))
(/.f64 y x)
(neg.f64 (/.f64 (neg.f64 y) x))
(/.f64 y x)
(sqrt.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)))
(/.f64 y x)
(log.f64 (exp.f64 (/.f64 y x)))
(/.f64 y x)
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 y x))))
(/.f64 y x)
(cbrt.f64 (pow.f64 (/.f64 y x) #s(literal 3 binary64)))
(/.f64 y x)
(expm1.f64 (log1p.f64 (/.f64 y x)))
(log1p.f64 (expm1.f64 (/.f64 y x)))
(/.f64 y x)
(exp.f64 (log.f64 (/.f64 y x)))
(/.f64 y x)
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (/.f64 y x))) #s(literal 3 binary64)))
(/.f64 y x)
(exp.f64 (*.f64 (*.f64 #s(literal 3 binary64) (log.f64 (/.f64 y x))) #s(literal 1/3 binary64)))
(/.f64 y x)
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 y x))) #s(literal 2 binary64)))
(/.f64 y x)
(exp.f64 (*.f64 (log.f64 (/.f64 x y)) #s(literal -1 binary64)))
(/.f64 y x)

eval110.0ms (1.8%)

Compiler

Compiled 9475 to 2135 computations (77.5% saved)

prune133.0ms (2.1%)

Pruning

6 alts after pruning (1 fresh and 5 done)

PrunedKeptTotal
New5721573
Fresh000
Picked033
Done123
Total5736579
Accuracy
100.0%
Counts
579 → 6
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓50.0%
(hypot.f64 (sqrt.f64 (neg.f64 x)) (sqrt.f64 y))
✓100.0%
(sqrt.f64 (-.f64 y x))
✓86.1%
(sqrt.f64 (*.f64 (+.f64 (/.f64 y x) #s(literal -1 binary64)) x))
▶86.0%
(sqrt.f64 (*.f64 (*.f64 y (-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) y))) x))
✓49.6%
(sqrt.f64 (neg.f64 x))
✓51.4%
(sqrt.f64 y)
Compiler

Compiled 47 to 33 computations (29.8% saved)

simplify59.0ms (0.9%)

Algorithm
1×egg-herbie
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) y))
✓cost-diff256
(*.f64 y (-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) y)))
✓cost-diff512
(*.f64 (*.f64 y (-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) y))) x)
✓cost-diff512
(sqrt.f64 (*.f64 (*.f64 y (-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) y))) x))
Rules
882×fmm-def
497×unsub-neg
403×neg-mul-1
334×associate-/r*
308×fma-define
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
015178
126178
247178
3112115
4277103
5847103
63211103
75826103
Stop Event
1×node limit
Calls
Call 1
Inputs
(sqrt.f64 (*.f64 (*.f64 y (-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) y))) x))
(*.f64 (*.f64 y (-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) y))) x)
(*.f64 y (-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) y)))
y
(-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) y))
(/.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
x
(/.f64 #s(literal 1 binary64) y)
Outputs
(sqrt.f64 (*.f64 (*.f64 y (-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) y))) x))
(sqrt.f64 (*.f64 y (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) y)) x)))
(sqrt.f64 (*.f64 y (*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal -1 binary64) y)))))
(sqrt.f64 (+.f64 y (*.f64 x #s(literal -1 binary64))))
(sqrt.f64 (-.f64 y x))
(*.f64 (*.f64 y (-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) y))) x)
(*.f64 y (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) y)) x))
(*.f64 y (*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal -1 binary64) y))))
(+.f64 y (*.f64 x #s(literal -1 binary64)))
(-.f64 y x)
(*.f64 y (-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) y)))
(*.f64 y (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal -1 binary64) y)))
(+.f64 #s(literal -1 binary64) (/.f64 y x))
y
(-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) y))
(+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal -1 binary64) y))
(/.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
x
(/.f64 #s(literal 1 binary64) y)

localize38.0ms (0.6%)

Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) y))
✓accuracy100.0%
(sqrt.f64 (*.f64 (*.f64 y (-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) y))) x))
✓accuracy99.7%
(*.f64 y (-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) y)))
✓accuracy86.5%
(*.f64 (*.f64 y (-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) y))) x)
Results
26.0ms254×0valid
1.0ms2×5exit
Compiler

Compiled 50 to 11 computations (78% saved)

Precisions
Click to see histograms. Total time spent on operations: 11.0ms
ival-div: 4.0ms (34.8% of total)
ival-mult: 3.0ms (26.1% of total)
ival-sqrt: 2.0ms (17.4% of total)
ival-sub: 1.0ms (8.7% of total)
adjust: 0.0ms (0% of total)
...in/eval/compile.rkt:76:19: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series11.0ms (0.2%)

Counts
4 → 81
Calls
Call 1
Inputs
#<alt (sqrt.f64 (*.f64 (*.f64 y (-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) y))) x))>
#<alt (*.f64 (*.f64 y (-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) y))) x)>
#<alt (*.f64 y (-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) y)))>
#<alt (-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) y))>
Outputs
#<alt (*.f64 (sqrt.f64 x) (sqrt.f64 #s(literal -1 binary64)))>
#<alt (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 y (sqrt.f64 #s(literal -1 binary64))))) (*.f64 (sqrt.f64 x) (sqrt.f64 #s(literal -1 binary64))))>
#<alt (+.f64 (*.f64 y (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (/.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64))))) (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -1 binary64))))))) (*.f64 (sqrt.f64 x) (sqrt.f64 #s(literal -1 binary64))))>
#<alt (+.f64 (*.f64 y (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -1 binary64))))) (*.f64 y (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64))))) (*.f64 #s(literal 1/16 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (/.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64))))))))) (*.f64 (sqrt.f64 x) (sqrt.f64 #s(literal -1 binary64))))>
#<alt (sqrt.f64 y)>
#<alt (*.f64 y (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (*.f64 #s(literal -1/2 binary64) (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))))))))>
#<alt (*.f64 y (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))))) (*.f64 #s(literal -1/8 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 5 binary64)))))))))>
#<alt (*.f64 y (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))))) (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 5 binary64)))))) (*.f64 #s(literal -1/16 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 7 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 (*.f64 x (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #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 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 5 binary64)))))) (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #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 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 5 binary64)))))) (+.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 7 binary64)))))) (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #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 (sqrt.f64 y)>
#<alt (+.f64 (sqrt.f64 y) (*.f64 #s(literal -1/2 binary64) (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) y)))))>
#<alt (+.f64 (sqrt.f64 y) (*.f64 x (+.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) y))) (*.f64 #s(literal -1/8 binary64) (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))))))))>
#<alt (+.f64 (sqrt.f64 y) (*.f64 x (+.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) y))) (*.f64 x (+.f64 (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))))) (*.f64 #s(literal -1/16 binary64) (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 5 binary64)))))))))))>
#<alt (*.f64 (sqrt.f64 x) (sqrt.f64 #s(literal -1 binary64)))>
#<alt (*.f64 x (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (/.f64 y (sqrt.f64 #s(literal -1 binary64))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal -1 binary64)))))>
#<alt (*.f64 x (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64))))) (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (/.f64 y (sqrt.f64 #s(literal -1 binary64))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal -1 binary64))))))>
#<alt (*.f64 x (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64))))) (+.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 7 binary64)))) (/.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64))))) (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (/.f64 y (sqrt.f64 #s(literal -1 binary64))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal -1 binary64)))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 x) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (*.f64 y (sqrt.f64 #s(literal -1 binary64))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (*.f64 y (sqrt.f64 #s(literal -1 binary64))))) (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (/.f64 (pow.f64 y #s(literal 2 binary64)) (sqrt.f64 #s(literal -1 binary64))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64)))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (*.f64 y (sqrt.f64 #s(literal -1 binary64))))) (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (/.f64 (pow.f64 y #s(literal 2 binary64)) (sqrt.f64 #s(literal -1 binary64))))) (+.f64 (*.f64 #s(literal -1/16 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 7 binary64)))) (/.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64))))))))>
#<alt (*.f64 #s(literal -1 binary64) x)>
#<alt (+.f64 y (*.f64 #s(literal -1 binary64) x))>
#<alt (+.f64 y (*.f64 #s(literal -1 binary64) x))>
#<alt (+.f64 y (*.f64 #s(literal -1 binary64) x))>
#<alt y>
#<alt (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 x y))))>
#<alt (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 x y))))>
#<alt (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 x y))))>
#<alt y>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (/.f64 x y) #s(literal 1 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (/.f64 x y) #s(literal 1 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (/.f64 x y) #s(literal 1 binary64))))>
#<alt y>
#<alt (+.f64 y (*.f64 #s(literal -1 binary64) x))>
#<alt (+.f64 y (*.f64 #s(literal -1 binary64) x))>
#<alt (+.f64 y (*.f64 #s(literal -1 binary64) x))>
#<alt (*.f64 #s(literal -1 binary64) x)>
#<alt (*.f64 x (-.f64 (/.f64 y x) #s(literal 1 binary64)))>
#<alt (*.f64 x (-.f64 (/.f64 y x) #s(literal 1 binary64)))>
#<alt (*.f64 x (-.f64 (/.f64 y x) #s(literal 1 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 binary64) (/.f64 y x)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 y x)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 y x)))))>
#<alt #s(literal -1 binary64)>
#<alt (-.f64 (/.f64 y x) #s(literal 1 binary64))>
#<alt (-.f64 (/.f64 y x) #s(literal 1 binary64))>
#<alt (-.f64 (/.f64 y x) #s(literal 1 binary64))>
#<alt (/.f64 y x)>
#<alt (/.f64 y x)>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 1 binary64) x))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 1 binary64) x))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 1 binary64) x))))>
#<alt (/.f64 y x)>
#<alt (/.f64 (+.f64 y (*.f64 #s(literal -1 binary64) x)) x)>
#<alt (/.f64 (+.f64 y (*.f64 #s(literal -1 binary64) x)) x)>
#<alt (/.f64 (+.f64 y (*.f64 #s(literal -1 binary64) x)) x)>
#<alt #s(literal -1 binary64)>
#<alt (-.f64 (/.f64 y x) #s(literal 1 binary64))>
#<alt (-.f64 (/.f64 y x) #s(literal 1 binary64))>
#<alt (-.f64 (/.f64 y x) #s(literal 1 binary64))>
#<alt #s(literal -1 binary64)>
#<alt (-.f64 (/.f64 y x) #s(literal 1 binary64))>
#<alt (-.f64 (/.f64 y x) #s(literal 1 binary64))>
#<alt (-.f64 (/.f64 y x) #s(literal 1 binary64))>
#<alt (/.f64 #s(literal 1 binary64) x)>
#<alt (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 x y))) x)>
#<alt (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 x y))) x)>
#<alt (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 x y))) x)>
#<alt (/.f64 #s(literal -1 binary64) y)>
#<alt (/.f64 #s(literal -1 binary64) y)>
#<alt (/.f64 #s(literal -1 binary64) y)>
#<alt (/.f64 (-.f64 (/.f64 y x) #s(literal 1 binary64)) y)>
#<alt (/.f64 (-.f64 (/.f64 y x) #s(literal 1 binary64)) y)>
#<alt (/.f64 (-.f64 (/.f64 y x) #s(literal 1 binary64)) y)>
#<alt (/.f64 #s(literal 1 binary64) x)>
#<alt (/.f64 #s(literal 1 binary64) x)>
Calls

24 calls:

TimeVariablePointExpression
3.0ms
y
@-inf
(* y (- (/ 1 x) (/ 1 y)))
1.0ms
y
@-inf
(sqrt (* (* y (- (/ 1 x) (/ 1 y))) x))
1.0ms
x
@-inf
(sqrt (* (* y (- (/ 1 x) (/ 1 y))) x))
0.0ms
y
@0
(sqrt (* (* y (- (/ 1 x) (/ 1 y))) x))
0.0ms
x
@inf
(sqrt (* (* y (- (/ 1 x) (/ 1 y))) x))

rewrite129.0ms (2.1%)

Algorithm
1×batch-egg-rewrite
Rules
966×log1p-expm1-u
966×expm1-log1p-u
599×prod-diff
255×fma-define
162×log1p-undefine
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
015149
1200149
22809149
Stop Event
1×node limit
Counts
4 → 180
Calls
Call 1
Inputs
(sqrt.f64 (*.f64 (*.f64 y (-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) y))) x))
(*.f64 (*.f64 y (-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) y))) x)
(*.f64 y (-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) y)))
(-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) y))
Outputs
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (*.f64 y (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal -1 binary64) y)) x))))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 y (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal -1 binary64) y)) x))))
(*.f64 (sqrt.f64 (*.f64 y (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal -1 binary64) y)) x))) #s(literal 1 binary64))
(*.f64 (cbrt.f64 (sqrt.f64 (*.f64 y (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal -1 binary64) y)) x)))) (cbrt.f64 (*.f64 y (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal -1 binary64) y)) x))))
(*.f64 (cbrt.f64 (*.f64 y (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal -1 binary64) y)) x))) (cbrt.f64 (sqrt.f64 (*.f64 y (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal -1 binary64) y)) x)))))
(*.f64 (sqrt.f64 (*.f64 y (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal -1 binary64) y)))) (sqrt.f64 x))
(*.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 y (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal -1 binary64) y)))))
(*.f64 (pow.f64 (*.f64 y (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal -1 binary64) y)) x)) #s(literal 1/4 binary64)) (pow.f64 (*.f64 y (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal -1 binary64) y)) x)) #s(literal 1/4 binary64)))
(*.f64 (sqrt.f64 y) (pow.f64 (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal -1 binary64) y)) x) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 y) (sqrt.f64 (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal -1 binary64) y)) x)))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/2 binary64)) (sqrt.f64 (*.f64 y (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal -1 binary64) y)) x))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (*.f64 y (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal -1 binary64) y)) x))) #s(literal 2 binary64)) #s(literal 1/2 binary64)) (pow.f64 (cbrt.f64 (*.f64 y (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal -1 binary64) y)) x))) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 y (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal -1 binary64) y)) x))) #s(literal 2 binary64))) (sqrt.f64 (cbrt.f64 (*.f64 y (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal -1 binary64) y)) x)))))
(pow.f64 (*.f64 y (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal -1 binary64) y)) x)) #s(literal 1/2 binary64))
(pow.f64 (sqrt.f64 (*.f64 y (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal -1 binary64) y)) x))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (sqrt.f64 (*.f64 y (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal -1 binary64) y)) x)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 y (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal -1 binary64) y)) x)) #s(literal 3/2 binary64)) #s(literal 1/3 binary64))
(pow.f64 (pow.f64 (*.f64 y (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal -1 binary64) y)) x)) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(fabs.f64 (sqrt.f64 (*.f64 y (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal -1 binary64) y)) x))))
(log.f64 (exp.f64 (sqrt.f64 (*.f64 y (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal -1 binary64) y)) x)))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (sqrt.f64 (*.f64 y (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal -1 binary64) y)) x))))))
(cbrt.f64 (pow.f64 (*.f64 y (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal -1 binary64) y)) x)) #s(literal 3/2 binary64)))
(expm1.f64 (log1p.f64 (sqrt.f64 (*.f64 y (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal -1 binary64) y)) x)))))
(log1p.f64 (expm1.f64 (sqrt.f64 (*.f64 y (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal -1 binary64) y)) x)))))
(exp.f64 (log.f64 (sqrt.f64 (*.f64 y (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal -1 binary64) y)) x)))))
(exp.f64 (*.f64 (log.f64 (*.f64 y (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal -1 binary64) y)) x))) #s(literal 1/2 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 y (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal -1 binary64) y)) x)))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 y (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal -1 binary64) y)) x)))) #s(literal 1 binary64))
(pow.f64 (*.f64 y (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal -1 binary64) y)) x)) #s(literal 1 binary64))
(pow.f64 (sqrt.f64 (*.f64 y (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal -1 binary64) y)) x))) #s(literal 2 binary64))
(pow.f64 (cbrt.f64 (*.f64 y (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal -1 binary64) y)) x))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 y (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal -1 binary64) y)) x)) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (*.f64 y (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal -1 binary64) y)) x)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(sqrt.f64 (pow.f64 (*.f64 y (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal -1 binary64) y)) x)) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 x) (*.f64 y (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal -1 binary64) y)))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 y (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal -1 binary64) y)) x)))))
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(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x) (*.f64 (/.f64 #s(literal -1 binary64) y) #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal -1 binary64) y)) (fma.f64 (/.f64 #s(literal -1 binary64) y) #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)))
(fma.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal -1 binary64) y)) (fma.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 y))) (cbrt.f64 (pow.f64 y #s(literal -2 binary64))) (/.f64 #s(literal 1 binary64) y)))
(fma.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal -1 binary64) y)) (+.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 #s(literal 1 binary64) y)))
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) y) (/.f64 #s(literal 1 binary64) x))
(fma.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) y))
(fma.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64) (*.f64 (/.f64 #s(literal -1 binary64) y) #s(literal 1 binary64)))
(fma.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal -1 binary64) y)) #s(literal 1 binary64) (fma.f64 (/.f64 #s(literal -1 binary64) y) #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)))
(fma.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal -1 binary64) y)) #s(literal 1 binary64) (fma.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 y))) (cbrt.f64 (pow.f64 y #s(literal -2 binary64))) (/.f64 #s(literal 1 binary64) y)))
(fma.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal -1 binary64) y)) #s(literal 1 binary64) (+.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 #s(literal 1 binary64) y)))
(fma.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 1 binary64) x))
(fma.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 x)) (/.f64 #s(literal -1 binary64) y))
(fma.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 x)) (*.f64 (/.f64 #s(literal -1 binary64) y) #s(literal 1 binary64)))
(fma.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 x)) (cbrt.f64 (pow.f64 x #s(literal -2 binary64))) (/.f64 #s(literal -1 binary64) y))
(fma.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 x)) (cbrt.f64 (pow.f64 x #s(literal -2 binary64))) (*.f64 (/.f64 #s(literal -1 binary64) y) #s(literal 1 binary64)))
(fma.f64 (cbrt.f64 (pow.f64 x #s(literal -2 binary64))) (/.f64 #s(literal 1 binary64) (cbrt.f64 x)) (/.f64 #s(literal -1 binary64) y))
(fma.f64 (cbrt.f64 (pow.f64 x #s(literal -2 binary64))) (/.f64 #s(literal 1 binary64) (cbrt.f64 x)) (*.f64 (/.f64 #s(literal -1 binary64) y) #s(literal 1 binary64)))
(fma.f64 (cbrt.f64 (pow.f64 y #s(literal -2 binary64))) (neg.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 y))) (/.f64 #s(literal 1 binary64) x))
(fma.f64 (cbrt.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal -1 binary64) y))) (pow.f64 (cbrt.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal -1 binary64) y))) #s(literal 2 binary64)) (fma.f64 (/.f64 #s(literal -1 binary64) y) #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)))
(fma.f64 (cbrt.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal -1 binary64) y))) (pow.f64 (cbrt.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal -1 binary64) y))) #s(literal 2 binary64)) (fma.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 y))) (cbrt.f64 (pow.f64 y #s(literal -2 binary64))) (/.f64 #s(literal 1 binary64) y)))
(fma.f64 (cbrt.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal -1 binary64) y))) (pow.f64 (cbrt.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal -1 binary64) y))) #s(literal 2 binary64)) (+.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 #s(literal 1 binary64) y)))
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal -1 binary64) y))) #s(literal 2 binary64)) (cbrt.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal -1 binary64) y))) (fma.f64 (/.f64 #s(literal -1 binary64) y) #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)))
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal -1 binary64) y))) #s(literal 2 binary64)) (cbrt.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal -1 binary64) y))) (fma.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 y))) (cbrt.f64 (pow.f64 y #s(literal -2 binary64))) (/.f64 #s(literal 1 binary64) y)))
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal -1 binary64) y))) #s(literal 2 binary64)) (cbrt.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal -1 binary64) y))) (+.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 #s(literal 1 binary64) y)))
(fma.f64 (pow.f64 x #s(literal -1/2 binary64)) (pow.f64 x #s(literal -1/2 binary64)) (/.f64 #s(literal -1 binary64) y))
(fma.f64 (pow.f64 x #s(literal -1/2 binary64)) (pow.f64 x #s(literal -1/2 binary64)) (*.f64 (/.f64 #s(literal -1 binary64) y) #s(literal 1 binary64)))
(fma.f64 (pow.f64 y #s(literal -1/2 binary64)) (neg.f64 (pow.f64 y #s(literal -1/2 binary64))) (/.f64 #s(literal 1 binary64) x))
(fma.f64 (sqrt.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal -1 binary64) y))) (sqrt.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal -1 binary64) y))) (fma.f64 (/.f64 #s(literal -1 binary64) y) #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)))
(fma.f64 (sqrt.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal -1 binary64) y))) (sqrt.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal -1 binary64) y))) (fma.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 y))) (cbrt.f64 (pow.f64 y #s(literal -2 binary64))) (/.f64 #s(literal 1 binary64) y)))
(fma.f64 (sqrt.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal -1 binary64) y))) (sqrt.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal -1 binary64) y))) (+.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 #s(literal 1 binary64) y)))
(fma.f64 (-.f64 y x) (/.f64 #s(literal 1 binary64) (*.f64 y x)) (fma.f64 (/.f64 #s(literal -1 binary64) y) #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)))
(fma.f64 (-.f64 y x) (/.f64 #s(literal 1 binary64) (*.f64 y x)) (fma.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 y))) (cbrt.f64 (pow.f64 y #s(literal -2 binary64))) (/.f64 #s(literal 1 binary64) y)))
(fma.f64 (-.f64 y x) (/.f64 #s(literal 1 binary64) (*.f64 y x)) (+.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 #s(literal 1 binary64) y)))
(fma.f64 (-.f64 (pow.f64 x #s(literal -3 binary64)) (pow.f64 y #s(literal -3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 x #s(literal -2 binary64)) (+.f64 (pow.f64 y #s(literal -2 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 y x))))) (fma.f64 (/.f64 #s(literal -1 binary64) y) #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)))
(fma.f64 (-.f64 (pow.f64 x #s(literal -3 binary64)) (pow.f64 y #s(literal -3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 x #s(literal -2 binary64)) (+.f64 (pow.f64 y #s(literal -2 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 y x))))) (fma.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 y))) (cbrt.f64 (pow.f64 y #s(literal -2 binary64))) (/.f64 #s(literal 1 binary64) y)))
(fma.f64 (-.f64 (pow.f64 x #s(literal -3 binary64)) (pow.f64 y #s(literal -3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 x #s(literal -2 binary64)) (+.f64 (pow.f64 y #s(literal -2 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 y x))))) (+.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 #s(literal 1 binary64) y)))
(fma.f64 (-.f64 (pow.f64 x #s(literal -2 binary64)) (pow.f64 y #s(literal -2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) y))) (fma.f64 (/.f64 #s(literal -1 binary64) y) #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)))
(fma.f64 (-.f64 (pow.f64 x #s(literal -2 binary64)) (pow.f64 y #s(literal -2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) y))) (fma.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 y))) (cbrt.f64 (pow.f64 y #s(literal -2 binary64))) (/.f64 #s(literal 1 binary64) y)))
(fma.f64 (-.f64 (pow.f64 x #s(literal -2 binary64)) (pow.f64 y #s(literal -2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) y))) (+.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 #s(literal 1 binary64) y)))
(fma.f64 (neg.f64 (pow.f64 y #s(literal -1/2 binary64))) (pow.f64 y #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) x))
(fma.f64 (pow.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64)) (pow.f64 (cbrt.f64 x) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) y))
(fma.f64 (pow.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64)) (pow.f64 (cbrt.f64 x) #s(literal -1 binary64)) (*.f64 (/.f64 #s(literal -1 binary64) y) #s(literal 1 binary64)))
(fma.f64 (pow.f64 (sqrt.f64 x) #s(literal -1 binary64)) (pow.f64 (sqrt.f64 x) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) y))
(fma.f64 (pow.f64 (sqrt.f64 x) #s(literal -1 binary64)) (pow.f64 (sqrt.f64 x) #s(literal -1 binary64)) (*.f64 (/.f64 #s(literal -1 binary64) y) #s(literal 1 binary64)))
(fma.f64 (*.f64 (cbrt.f64 (/.f64 #s(literal -1 binary64) y)) (cbrt.f64 (/.f64 #s(literal -1 binary64) y))) (cbrt.f64 (/.f64 #s(literal -1 binary64) y)) (/.f64 #s(literal 1 binary64) x))
(fma.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) y)) (sqrt.f64 (/.f64 #s(literal -1 binary64) y)) (/.f64 #s(literal 1 binary64) x))
(fma.f64 (+.f64 (pow.f64 x #s(literal -1/2 binary64)) (pow.f64 y #s(literal -1/2 binary64))) (-.f64 (pow.f64 x #s(literal -1/2 binary64)) (pow.f64 y #s(literal -1/2 binary64))) (fma.f64 (/.f64 #s(literal -1 binary64) y) #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)))
(fma.f64 (+.f64 (pow.f64 x #s(literal -1/2 binary64)) (pow.f64 y #s(literal -1/2 binary64))) (-.f64 (pow.f64 x #s(literal -1/2 binary64)) (pow.f64 y #s(literal -1/2 binary64))) (fma.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 y))) (cbrt.f64 (pow.f64 y #s(literal -2 binary64))) (/.f64 #s(literal 1 binary64) y)))
(fma.f64 (+.f64 (pow.f64 x #s(literal -1/2 binary64)) (pow.f64 y #s(literal -1/2 binary64))) (-.f64 (pow.f64 x #s(literal -1/2 binary64)) (pow.f64 y #s(literal -1/2 binary64))) (+.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 #s(literal 1 binary64) y)))
(fma.f64 (neg.f64 (cbrt.f64 (pow.f64 y #s(literal -2 binary64)))) (/.f64 #s(literal 1 binary64) (cbrt.f64 y)) (/.f64 #s(literal 1 binary64) x))

simplify215.0ms (3.4%)

Algorithm
1×egg-herbie
Rules
324×fmm-def
261×fma-define
258×distribute-lft-neg-out
239×associate-*r*
227×*-commutative
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
054512112
1136910400
244789182
Stop Event
1×node limit
Counts
261 → 349
Calls
Call 1
Inputs
(*.f64 (sqrt.f64 x) (sqrt.f64 #s(literal -1 binary64)))
(+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 y (sqrt.f64 #s(literal -1 binary64))))) (*.f64 (sqrt.f64 x) (sqrt.f64 #s(literal -1 binary64))))
(+.f64 (*.f64 y (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (/.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64))))) (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -1 binary64))))))) (*.f64 (sqrt.f64 x) (sqrt.f64 #s(literal -1 binary64))))
(+.f64 (*.f64 y (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -1 binary64))))) (*.f64 y (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64))))) (*.f64 #s(literal 1/16 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (/.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64))))))))) (*.f64 (sqrt.f64 x) (sqrt.f64 #s(literal -1 binary64))))
(sqrt.f64 y)
(*.f64 y (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (*.f64 #s(literal -1/2 binary64) (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))))))))
(*.f64 y (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))))) (*.f64 #s(literal -1/8 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 5 binary64)))))))))
(*.f64 y (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))))) (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 5 binary64)))))) (*.f64 #s(literal -1/16 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 7 binary64))))))))))
(*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 y) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #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))))))
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 5 binary64)))))) (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #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)))))))
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 5 binary64)))))) (+.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 7 binary64)))))) (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #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))))))))
(sqrt.f64 y)
(+.f64 (sqrt.f64 y) (*.f64 #s(literal -1/2 binary64) (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) y)))))
(+.f64 (sqrt.f64 y) (*.f64 x (+.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) y))) (*.f64 #s(literal -1/8 binary64) (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))))))))
(+.f64 (sqrt.f64 y) (*.f64 x (+.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) y))) (*.f64 x (+.f64 (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))))) (*.f64 #s(literal -1/16 binary64) (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 5 binary64)))))))))))
(*.f64 (sqrt.f64 x) (sqrt.f64 #s(literal -1 binary64)))
(*.f64 x (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (/.f64 y (sqrt.f64 #s(literal -1 binary64))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal -1 binary64)))))
(*.f64 x (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64))))) (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (/.f64 y (sqrt.f64 #s(literal -1 binary64))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal -1 binary64))))))
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(*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 x) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64))))
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(fma.f64 (sqrt.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal -1 binary64) y))) (sqrt.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal -1 binary64) y))) (fma.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 y))) (cbrt.f64 (pow.f64 y #s(literal -2 binary64))) (/.f64 #s(literal 1 binary64) y)))
(fma.f64 (sqrt.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal -1 binary64) y))) (sqrt.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal -1 binary64) y))) (+.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 #s(literal 1 binary64) y)))
(fma.f64 (-.f64 y x) (/.f64 #s(literal 1 binary64) (*.f64 y x)) (fma.f64 (/.f64 #s(literal -1 binary64) y) #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)))
(fma.f64 (-.f64 y x) (/.f64 #s(literal 1 binary64) (*.f64 y x)) (fma.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 y))) (cbrt.f64 (pow.f64 y #s(literal -2 binary64))) (/.f64 #s(literal 1 binary64) y)))
(fma.f64 (-.f64 y x) (/.f64 #s(literal 1 binary64) (*.f64 y x)) (+.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 #s(literal 1 binary64) y)))
(fma.f64 (-.f64 (pow.f64 x #s(literal -3 binary64)) (pow.f64 y #s(literal -3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 x #s(literal -2 binary64)) (+.f64 (pow.f64 y #s(literal -2 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 y x))))) (fma.f64 (/.f64 #s(literal -1 binary64) y) #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)))
(fma.f64 (-.f64 (pow.f64 x #s(literal -3 binary64)) (pow.f64 y #s(literal -3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 x #s(literal -2 binary64)) (+.f64 (pow.f64 y #s(literal -2 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 y x))))) (fma.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 y))) (cbrt.f64 (pow.f64 y #s(literal -2 binary64))) (/.f64 #s(literal 1 binary64) y)))
(fma.f64 (-.f64 (pow.f64 x #s(literal -3 binary64)) (pow.f64 y #s(literal -3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 x #s(literal -2 binary64)) (+.f64 (pow.f64 y #s(literal -2 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 y x))))) (+.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 #s(literal 1 binary64) y)))
(fma.f64 (-.f64 (pow.f64 x #s(literal -2 binary64)) (pow.f64 y #s(literal -2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) y))) (fma.f64 (/.f64 #s(literal -1 binary64) y) #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)))
(fma.f64 (-.f64 (pow.f64 x #s(literal -2 binary64)) (pow.f64 y #s(literal -2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) y))) (fma.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 y))) (cbrt.f64 (pow.f64 y #s(literal -2 binary64))) (/.f64 #s(literal 1 binary64) y)))
(fma.f64 (-.f64 (pow.f64 x #s(literal -2 binary64)) (pow.f64 y #s(literal -2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) y))) (+.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 #s(literal 1 binary64) y)))
(fma.f64 (neg.f64 (pow.f64 y #s(literal -1/2 binary64))) (pow.f64 y #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) x))
(fma.f64 (pow.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64)) (pow.f64 (cbrt.f64 x) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) y))
(fma.f64 (pow.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64)) (pow.f64 (cbrt.f64 x) #s(literal -1 binary64)) (*.f64 (/.f64 #s(literal -1 binary64) y) #s(literal 1 binary64)))
(fma.f64 (pow.f64 (sqrt.f64 x) #s(literal -1 binary64)) (pow.f64 (sqrt.f64 x) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) y))
(fma.f64 (pow.f64 (sqrt.f64 x) #s(literal -1 binary64)) (pow.f64 (sqrt.f64 x) #s(literal -1 binary64)) (*.f64 (/.f64 #s(literal -1 binary64) y) #s(literal 1 binary64)))
(fma.f64 (*.f64 (cbrt.f64 (/.f64 #s(literal -1 binary64) y)) (cbrt.f64 (/.f64 #s(literal -1 binary64) y))) (cbrt.f64 (/.f64 #s(literal -1 binary64) y)) (/.f64 #s(literal 1 binary64) x))
(fma.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) y)) (sqrt.f64 (/.f64 #s(literal -1 binary64) y)) (/.f64 #s(literal 1 binary64) x))
(fma.f64 (+.f64 (pow.f64 x #s(literal -1/2 binary64)) (pow.f64 y #s(literal -1/2 binary64))) (-.f64 (pow.f64 x #s(literal -1/2 binary64)) (pow.f64 y #s(literal -1/2 binary64))) (fma.f64 (/.f64 #s(literal -1 binary64) y) #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)))
(fma.f64 (+.f64 (pow.f64 x #s(literal -1/2 binary64)) (pow.f64 y #s(literal -1/2 binary64))) (-.f64 (pow.f64 x #s(literal -1/2 binary64)) (pow.f64 y #s(literal -1/2 binary64))) (fma.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 y))) (cbrt.f64 (pow.f64 y #s(literal -2 binary64))) (/.f64 #s(literal 1 binary64) y)))
(fma.f64 (+.f64 (pow.f64 x #s(literal -1/2 binary64)) (pow.f64 y #s(literal -1/2 binary64))) (-.f64 (pow.f64 x #s(literal -1/2 binary64)) (pow.f64 y #s(literal -1/2 binary64))) (+.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 #s(literal 1 binary64) y)))
(fma.f64 (neg.f64 (cbrt.f64 (pow.f64 y #s(literal -2 binary64)))) (/.f64 #s(literal 1 binary64) (cbrt.f64 y)) (/.f64 #s(literal 1 binary64) x))
Outputs
(*.f64 (sqrt.f64 x) (sqrt.f64 #s(literal -1 binary64)))
(+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 y (sqrt.f64 #s(literal -1 binary64))))) (*.f64 (sqrt.f64 x) (sqrt.f64 #s(literal -1 binary64))))
(fma.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 y (sqrt.f64 #s(literal -1 binary64)))) (*.f64 (sqrt.f64 x) (sqrt.f64 #s(literal -1 binary64))))
(fma.f64 (sqrt.f64 x) (sqrt.f64 #s(literal -1 binary64)) (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 y (sqrt.f64 #s(literal -1 binary64))))))
(+.f64 (*.f64 y (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (/.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64))))) (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -1 binary64))))))) (*.f64 (sqrt.f64 x) (sqrt.f64 #s(literal -1 binary64))))
(fma.f64 y (fma.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (/.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64)))) (*.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -1 binary64))))) (*.f64 (sqrt.f64 x) (sqrt.f64 #s(literal -1 binary64))))
(fma.f64 (sqrt.f64 x) (sqrt.f64 #s(literal -1 binary64)) (*.f64 y (fma.f64 #s(literal 1/2 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal -1 binary64))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (*.f64 (/.f64 y (*.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal -1 binary64)))) #s(literal -1/8 binary64))))))
(fma.f64 y (fma.f64 #s(literal 1/2 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal -1 binary64))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (*.f64 (/.f64 y (neg.f64 (sqrt.f64 #s(literal -1 binary64)))) #s(literal -1/8 binary64)))) (*.f64 (sqrt.f64 x) (sqrt.f64 #s(literal -1 binary64))))
(+.f64 (*.f64 y (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -1 binary64))))) (*.f64 y (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64))))) (*.f64 #s(literal 1/16 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (/.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64))))))))) (*.f64 (sqrt.f64 x) (sqrt.f64 #s(literal -1 binary64))))
(fma.f64 y (fma.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -1 binary64)))) (*.f64 y (fma.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64)))) (*.f64 #s(literal 1/16 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (/.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64)))))))) (*.f64 (sqrt.f64 x) (sqrt.f64 #s(literal -1 binary64))))
(fma.f64 (sqrt.f64 x) (sqrt.f64 #s(literal -1 binary64)) (*.f64 y (fma.f64 #s(literal 1/2 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal -1 binary64))) (*.f64 y (fma.f64 (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))))) (/.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal -1 binary64))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (*.f64 (/.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64))) #s(literal 1/16 binary64))))))))
(fma.f64 y (fma.f64 y (fma.f64 #s(literal -1/8 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (sqrt.f64 #s(literal -1 binary64)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (*.f64 (/.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64))) #s(literal 1/16 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal -1 binary64))))) (*.f64 (sqrt.f64 x) (sqrt.f64 #s(literal -1 binary64))))
(sqrt.f64 y)
(*.f64 y (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (*.f64 #s(literal -1/2 binary64) (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))))))))
(*.f64 y (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (*.f64 (*.f64 #s(literal -1/2 binary64) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))))))
(*.f64 y (fma.f64 #s(literal -1/2 binary64) (*.f64 x (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 -1/2 binary64) (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))))) (*.f64 #s(literal -1/8 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 5 binary64)))))))))
(*.f64 y (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (fma.f64 #s(literal -1/2 binary64) (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))))) (*.f64 (*.f64 #s(literal -1/8 binary64) (pow.f64 x #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 5 binary64))))))))
(*.f64 y (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (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 5 binary64))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))) (*.f64 x #s(literal -1/2 binary64))))))
(*.f64 y (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (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 5 binary64))))) (*.f64 x (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))) #s(literal -1/2 binary64))))))
(*.f64 y (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))))) (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 5 binary64)))))) (*.f64 #s(literal -1/16 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 7 binary64))))))))))
(*.f64 y (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (fma.f64 #s(literal -1/2 binary64) (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 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 5 binary64))))) (*.f64 (*.f64 #s(literal -1/16 binary64) (pow.f64 x #s(literal 3 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 7 binary64)))))))))
(*.f64 y (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (fma.f64 #s(literal -1/2 binary64) (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 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 5 binary64))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 7 binary64)))) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/16 binary64)))))))
(*.f64 y (+.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 x (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 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 5 binary64))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 7 binary64)))) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/16 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 (*.f64 x (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #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))))))
(*.f64 (neg.f64 y) (fma.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))) (*.f64 x (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))
(*.f64 y (neg.f64 (fma.f64 #s(literal -1 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 x #s(literal -1/2 binary64))))))
(*.f64 y (neg.f64 (fma.f64 (*.f64 x #s(literal -1/2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))) (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y))))))
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 5 binary64)))))) (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #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)))))))
(*.f64 (neg.f64 y) (fma.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 5 binary64)))) (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))) (fma.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))) (*.f64 x (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))))
(*.f64 y (neg.f64 (fma.f64 (*.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 5 binary64)))) (fma.f64 #s(literal -1 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 x #s(literal -1/2 binary64)))))))
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(/.f64 (-.f64 (pow.f64 x #s(literal -3 binary64)) (pow.f64 y #s(literal -3 binary64))) (+.f64 (pow.f64 y #s(literal -2 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x y)) (pow.f64 x #s(literal -2 binary64)))))
(fma.f64 (-.f64 (pow.f64 x #s(literal -2 binary64)) (pow.f64 y #s(literal -2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) y))) (fma.f64 (/.f64 #s(literal -1 binary64) y) #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)))
(*.f64 (-.f64 (pow.f64 x #s(literal -2 binary64)) (pow.f64 y #s(literal -2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) y))))
(/.f64 (-.f64 (pow.f64 x #s(literal -2 binary64)) (pow.f64 y #s(literal -2 binary64))) (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) y)))
(fma.f64 (-.f64 (pow.f64 x #s(literal -2 binary64)) (pow.f64 y #s(literal -2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) y))) (fma.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 y))) (cbrt.f64 (pow.f64 y #s(literal -2 binary64))) (/.f64 #s(literal 1 binary64) y)))
(fma.f64 (-.f64 (pow.f64 x #s(literal -2 binary64)) (pow.f64 y #s(literal -2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) y))) (fma.f64 (/.f64 #s(literal -1 binary64) (cbrt.f64 y)) (cbrt.f64 (pow.f64 y #s(literal -2 binary64))) (/.f64 #s(literal 1 binary64) y)))
(+.f64 (fma.f64 (/.f64 #s(literal -1 binary64) (cbrt.f64 y)) (cbrt.f64 (pow.f64 y #s(literal -2 binary64))) (/.f64 #s(literal 1 binary64) y)) (/.f64 (-.f64 (pow.f64 x #s(literal -2 binary64)) (pow.f64 y #s(literal -2 binary64))) (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) y))))
(fma.f64 (-.f64 (pow.f64 x #s(literal -2 binary64)) (pow.f64 y #s(literal -2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) y))) (+.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 #s(literal 1 binary64) y)))
(*.f64 (-.f64 (pow.f64 x #s(literal -2 binary64)) (pow.f64 y #s(literal -2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) y))))
(/.f64 (-.f64 (pow.f64 x #s(literal -2 binary64)) (pow.f64 y #s(literal -2 binary64))) (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) y)))
(fma.f64 (neg.f64 (pow.f64 y #s(literal -1/2 binary64))) (pow.f64 y #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) x))
(fma.f64 (pow.f64 y #s(literal -1/2 binary64)) (neg.f64 (pow.f64 y #s(literal -1/2 binary64))) (/.f64 #s(literal 1 binary64) x))
(-.f64 (/.f64 #s(literal 1 binary64) x) (pow.f64 y #s(literal -1 binary64)))
(fma.f64 (pow.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64)) (pow.f64 (cbrt.f64 x) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) y))
(+.f64 (fma.f64 (/.f64 #s(literal 1 binary64) y) #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) y)) (fma.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (cbrt.f64 x)) (/.f64 #s(literal -1 binary64) y)))
(+.f64 (*.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) y)) (fma.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (cbrt.f64 x)) (/.f64 #s(literal -1 binary64) y)))
(+.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))))
(fma.f64 (pow.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64)) (pow.f64 (cbrt.f64 x) #s(literal -1 binary64)) (*.f64 (/.f64 #s(literal -1 binary64) y) #s(literal 1 binary64)))
(+.f64 (fma.f64 (/.f64 #s(literal 1 binary64) y) #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) y)) (fma.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (cbrt.f64 x)) (/.f64 #s(literal -1 binary64) y)))
(+.f64 (*.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) y)) (fma.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (cbrt.f64 x)) (/.f64 #s(literal -1 binary64) y)))
(+.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))))
(fma.f64 (pow.f64 (sqrt.f64 x) #s(literal -1 binary64)) (pow.f64 (sqrt.f64 x) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) y))
(+.f64 (fma.f64 (/.f64 #s(literal 1 binary64) y) #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) y)) (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal -1 binary64) y)))
(+.f64 (pow.f64 (sqrt.f64 x) #s(literal -2 binary64)) (+.f64 (/.f64 #s(literal -1 binary64) y) (*.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) y))))
(+.f64 (/.f64 #s(literal -1 binary64) y) (pow.f64 (sqrt.f64 x) #s(literal -2 binary64)))
(fma.f64 (pow.f64 (sqrt.f64 x) #s(literal -1 binary64)) (pow.f64 (sqrt.f64 x) #s(literal -1 binary64)) (*.f64 (/.f64 #s(literal -1 binary64) y) #s(literal 1 binary64)))
(+.f64 (fma.f64 (/.f64 #s(literal 1 binary64) y) #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) y)) (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal -1 binary64) y)))
(+.f64 (pow.f64 (sqrt.f64 x) #s(literal -2 binary64)) (+.f64 (/.f64 #s(literal -1 binary64) y) (*.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) y))))
(+.f64 (/.f64 #s(literal -1 binary64) y) (pow.f64 (sqrt.f64 x) #s(literal -2 binary64)))
(fma.f64 (*.f64 (cbrt.f64 (/.f64 #s(literal -1 binary64) y)) (cbrt.f64 (/.f64 #s(literal -1 binary64) y))) (cbrt.f64 (/.f64 #s(literal -1 binary64) y)) (/.f64 #s(literal 1 binary64) x))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (neg.f64 x) y)) x)
(-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) y))
(+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal -1 binary64) y))
(fma.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) y)) (sqrt.f64 (/.f64 #s(literal -1 binary64) y)) (/.f64 #s(literal 1 binary64) x))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (neg.f64 x) y)) x)
(-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) y))
(+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal -1 binary64) y))
(fma.f64 (+.f64 (pow.f64 x #s(literal -1/2 binary64)) (pow.f64 y #s(literal -1/2 binary64))) (-.f64 (pow.f64 x #s(literal -1/2 binary64)) (pow.f64 y #s(literal -1/2 binary64))) (fma.f64 (/.f64 #s(literal -1 binary64) y) #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)))
(fma.f64 (+.f64 (pow.f64 x #s(literal -1/2 binary64)) (pow.f64 y #s(literal -1/2 binary64))) (-.f64 (pow.f64 x #s(literal -1/2 binary64)) (pow.f64 y #s(literal -1/2 binary64))) (+.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal -1 binary64) y)))
(fma.f64 (+.f64 (pow.f64 x #s(literal -1/2 binary64)) (pow.f64 y #s(literal -1/2 binary64))) (-.f64 (pow.f64 x #s(literal -1/2 binary64)) (pow.f64 y #s(literal -1/2 binary64))) (*.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) y)))
(fma.f64 (+.f64 (pow.f64 x #s(literal -1/2 binary64)) (pow.f64 y #s(literal -1/2 binary64))) (-.f64 (pow.f64 x #s(literal -1/2 binary64)) (pow.f64 y #s(literal -1/2 binary64))) #s(literal 0 binary64))
(fma.f64 (+.f64 (pow.f64 x #s(literal -1/2 binary64)) (pow.f64 y #s(literal -1/2 binary64))) (-.f64 (pow.f64 x #s(literal -1/2 binary64)) (pow.f64 y #s(literal -1/2 binary64))) (fma.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 y))) (cbrt.f64 (pow.f64 y #s(literal -2 binary64))) (/.f64 #s(literal 1 binary64) y)))
(fma.f64 (+.f64 (pow.f64 x #s(literal -1/2 binary64)) (pow.f64 y #s(literal -1/2 binary64))) (-.f64 (pow.f64 x #s(literal -1/2 binary64)) (pow.f64 y #s(literal -1/2 binary64))) (fma.f64 (/.f64 #s(literal -1 binary64) (cbrt.f64 y)) (cbrt.f64 (pow.f64 y #s(literal -2 binary64))) (/.f64 #s(literal 1 binary64) y)))
(fma.f64 (+.f64 (pow.f64 x #s(literal -1/2 binary64)) (pow.f64 y #s(literal -1/2 binary64))) (-.f64 (pow.f64 x #s(literal -1/2 binary64)) (pow.f64 y #s(literal -1/2 binary64))) (+.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 #s(literal 1 binary64) y)))
(fma.f64 (+.f64 (pow.f64 x #s(literal -1/2 binary64)) (pow.f64 y #s(literal -1/2 binary64))) (-.f64 (pow.f64 x #s(literal -1/2 binary64)) (pow.f64 y #s(literal -1/2 binary64))) (+.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal -1 binary64) y)))
(fma.f64 (+.f64 (pow.f64 x #s(literal -1/2 binary64)) (pow.f64 y #s(literal -1/2 binary64))) (-.f64 (pow.f64 x #s(literal -1/2 binary64)) (pow.f64 y #s(literal -1/2 binary64))) (*.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) y)))
(fma.f64 (+.f64 (pow.f64 x #s(literal -1/2 binary64)) (pow.f64 y #s(literal -1/2 binary64))) (-.f64 (pow.f64 x #s(literal -1/2 binary64)) (pow.f64 y #s(literal -1/2 binary64))) #s(literal 0 binary64))
(fma.f64 (neg.f64 (cbrt.f64 (pow.f64 y #s(literal -2 binary64)))) (/.f64 #s(literal 1 binary64) (cbrt.f64 y)) (/.f64 #s(literal 1 binary64) x))
(fma.f64 (cbrt.f64 (pow.f64 y #s(literal -2 binary64))) (/.f64 #s(literal -1 binary64) (cbrt.f64 y)) (/.f64 #s(literal 1 binary64) x))

eval62.0ms (1%)

Compiler

Compiled 7997 to 1515 computations (81.1% saved)

prune222.0ms (3.5%)

Pruning

6 alts after pruning (0 fresh and 6 done)

PrunedKeptTotal
New3490349
Fresh000
Picked011
Done055
Total3496355
Accuracy
100.0%
Counts
355 → 6
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓50.0%
(hypot.f64 (sqrt.f64 (neg.f64 x)) (sqrt.f64 y))
✓100.0%
(sqrt.f64 (-.f64 y x))
✓86.1%
(sqrt.f64 (*.f64 (+.f64 (/.f64 y x) #s(literal -1 binary64)) x))
✓86.0%
(sqrt.f64 (*.f64 (*.f64 y (-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) y))) x))
✓49.6%
(sqrt.f64 (neg.f64 x))
✓51.4%
(sqrt.f64 y)
Compiler

Compiled 116 to 69 computations (40.5% saved)

regimes154.0ms (2.4%)

Counts
11 → 1
Calls
Call 1
Inputs
(sqrt.f64 y)
(sqrt.f64 (neg.f64 x))
(sqrt.f64 (-.f64 y x))
(sqrt.f64 (*.f64 (+.f64 (/.f64 y x) #s(literal -1 binary64)) x))
(sqrt.f64 (*.f64 (*.f64 y (-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) y))) x))
(sqrt.f64 (fabs.f64 (-.f64 x y)))
(sqrt.f64 (fabs.f64 (-.f64 y x)))
(cbrt.f64 (pow.f64 (-.f64 y x) #s(literal 3/2 binary64)))
(pow.f64 (pow.f64 (-.f64 y x) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(sqrt.f64 (fabs.f64 (*.f64 x (-.f64 (/.f64 y x) #s(literal 1 binary64)))))
(hypot.f64 (sqrt.f64 (neg.f64 x)) (sqrt.f64 y))
Outputs
(sqrt.f64 (-.f64 y x))
Calls

5 calls:

138.0ms
y
4.0ms
(-.f64 x y)
4.0ms
x
4.0ms
(sqrt.f64 (fabs.f64 (-.f64 x y)))
4.0ms
(fabs.f64 (-.f64 x y))
Results
AccuracySegmentsBranch
100.0%1x
100.0%1y
100.0%1(sqrt.f64 (fabs.f64 (-.f64 x y)))
100.0%1(fabs.f64 (-.f64 x y))
100.0%1(-.f64 x y)
Compiler

Compiled 24 to 16 computations (33.3% saved)

regimes3.0ms (0.1%)

Counts
2 → 2
Calls
Call 1
Inputs
(sqrt.f64 y)
(sqrt.f64 (neg.f64 x))
Outputs
(sqrt.f64 (neg.f64 x))
(sqrt.f64 y)
Calls

2 calls:

2.0ms
y
2.0ms
x
Results
AccuracySegmentsBranch
86.3%2x
85.2%2y
Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes3.0ms (0%)

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts
1 → 1
Calls
Call 1
Inputs
(sqrt.f64 y)
Outputs
(sqrt.f64 y)
Calls

2 calls:

1.0ms
y
1.0ms
x
Results
AccuracySegmentsBranch
51.4%1y
51.4%1x
Compiler

Compiled 6 to 4 computations (33.3% saved)

bsearch25.0ms (0.4%)

Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
24.0ms
-5.236923326686196e-70
-1.7616835875038258e-71
Results
21.0ms112×0valid
Compiler

Compiled 87 to 73 computations (16.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 2.0ms
ival-sub: 1.0ms (43.4% of total)
ival-fabs: 1.0ms (43.4% of total)
ival-sqrt: 1.0ms (43.4% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

simplify3.0ms (0%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
01957
12457
22757
32857
Stop Event
1×saturated
Calls
Call 1
Inputs
(sqrt.f64 (-.f64 y x))
(if (<=.f64 x #s(literal -7149021523390683/31082702275611665134711390509176302506278509424834232340028998555822468563283335970816 binary64)) (sqrt.f64 (neg.f64 x)) (sqrt.f64 y))
(sqrt.f64 y)
Outputs
(sqrt.f64 (-.f64 y x))
(if (<=.f64 x #s(literal -7149021523390683/31082702275611665134711390509176302506278509424834232340028998555822468563283335970816 binary64)) (sqrt.f64 (neg.f64 x)) (sqrt.f64 y))
(sqrt.f64 y)

soundness314.0ms (5%)

Rules
818×times-frac
285×exp-prod
277×fmm-def
268×distribute-lft-in
247×distribute-rgt-in
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
024171
143155
285155
3172155
4242155
5273155
6279155
04668589946389
19388589945227
222718589944963
374408589944939
Stop Event
1×done
1×node limit
1×saturated
Compiler

Compiled 96 to 50 computations (47.9% saved)

preprocess33.0ms (0.5%)

Compiler

Compiled 72 to 46 computations (36.1% saved)

end0.0ms (0%)

Profiling

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