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

Time bar (total: 5.2s)

analyze0.0ms (0%)

Algorithm
1×search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%99.9%0.1%0%0%0%0
100%99.9%0%0.1%0%0%0%1
Compiler

Compiled 8 to 6 computations (25% saved)

Precisions
Click to see histograms. Total time spent on operations: 0.0ms
ival-sub: 0.0ms (0% of total)
ival-fabs: 0.0ms (0% of total)
const: 0.0ms (0% of total)
ival-sqrt: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

sample1.1s (22%)

Results
794.0ms8256×0valid
Precisions
Click to see histograms. Total time spent on operations: 473.0ms
ival-fabs: 338.0ms (71.5% of total)
ival-sqrt: 71.0ms (15% of total)
ival-sub: 56.0ms (11.8% of total)
const: 7.0ms (1.5% of total)
backward-pass: 2.0ms (0.4% of total)
Bogosity

preprocess100.0ms (1.9%)

Algorithm
1×egg-herbie
Rules
60×fma-neg
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)

explain43.0ms (0.8%)

FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
00-0-(sqrt.f64 (fabs.f64 (-.f64 x y)))
00-0-x
00-0-(-.f64 x y)
00-0-(fabs.f64 (-.f64 x y))
00-0-y
Results
28.0ms512×0valid
Compiler

Compiled 41 to 17 computations (58.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 11.0ms
ival-sqrt: 4.0ms (37.4% of total)
ival-sub: 3.0ms (28.1% of total)
ival-fabs: 3.0ms (28.1% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

eval0.0ms (0%)

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×fma-neg
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

localize237.0ms (4.6%)

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
231.0ms256×0valid
Compiler

Compiled 17 to 6 computations (64.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 6.0ms
ival-sub: 2.0ms (33.9% of total)
ival-fabs: 2.0ms (33.9% of total)
ival-sqrt: 2.0ms (33.9% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

series8.0ms (0.2%)

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
3.0ms
y
@0
(sqrt (fabs (- y x)))
0.0ms
x
@inf
(sqrt (fabs (- y x)))
0.0ms
y
@inf
(sqrt (fabs (- y x)))
0.0ms
y
@-inf
(sqrt (fabs (- y x)))
0.0ms
x
@-inf
(sqrt (fabs (- y x)))

rewrite280.0ms (5.4%)

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)))
(*.f64 (pow.f64 (-.f64 y x) #s(literal 5/6 binary64)) (pow.f64 (-.f64 y x) #s(literal 1/6 binary64)))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/3 binary64)) (-.f64 y x))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (-.f64 y x))) #s(literal 2 binary64)) #s(literal 3 binary64)) (cbrt.f64 (-.f64 y x)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (-.f64 y x)) #s(literal 4 binary64)) #s(literal 1/2 binary64)) (cbrt.f64 (-.f64 y x)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (-.f64 y x)) #s(literal 5 binary64)) #s(literal 1/2 binary64)) (pow.f64 (-.f64 y x) #s(literal 1/6 binary64)))
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(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))

simplify253.0ms (4.9%)

Algorithm
1×egg-herbie
Rules
818×times-frac
285×exp-prod
277×fma-neg
268×distribute-lft-in
241×distribute-rgt-in
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
04668589946389
19288589945227
222528589944963
374168589944939
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))
(+.f64 y (*.f64 #s(literal -1 binary64) x))
(+.f64 y (*.f64 #s(literal -1 binary64) x))
(*.f64 #s(literal -1 binary64) x)
(*.f64 x (-.f64 (/.f64 y x) #s(literal 1 binary64)))
(*.f64 x (-.f64 (/.f64 y x) #s(literal 1 binary64)))
(*.f64 x (-.f64 (/.f64 y x) #s(literal 1 binary64)))
(*.f64 #s(literal -1 binary64) 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 -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)))
(+.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)))
(*.f64 (pow.f64 (-.f64 y x) #s(literal 5/6 binary64)) (pow.f64 (-.f64 y x) #s(literal 1/6 binary64)))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/3 binary64)) (-.f64 y x))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (-.f64 y x))) #s(literal 2 binary64)) #s(literal 3 binary64)) (cbrt.f64 (-.f64 y x)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (-.f64 y x)) #s(literal 4 binary64)) #s(literal 1/2 binary64)) (cbrt.f64 (-.f64 y x)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (-.f64 y x)) #s(literal 5 binary64)) #s(literal 1/2 binary64)) (pow.f64 (-.f64 y x) #s(literal 1/6 binary64)))
(*.f64 (pow.f64 (pow.f64 (pow.f64 (cbrt.f64 (-.f64 y x)) #s(literal 4 binary64)) #s(literal 2 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (cbrt.f64 (-.f64 y x))))
(*.f64 (pow.f64 (pow.f64 (-.f64 y x) #s(literal 5/2 binary64)) #s(literal 1/3 binary64)) (pow.f64 (-.f64 y x) #s(literal 1/6 binary64)))
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(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 y x) (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (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 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (neg.f64 (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 y x))
(/.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) (neg.f64 (+.f64 y x)))
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(/.f64 (fabs.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))) (fabs.f64 (+.f64 y x)))
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(/.f64 (neg.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (fma.f64 x (+.f64 y x) (pow.f64 y #s(literal 2 binary64)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))) (+.f64 y x))
(/.f64 (neg.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))) (neg.f64 (+.f64 y x)))
(/.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 (neg.f64 x) #s(literal 3 binary64))) (fma.f64 y y (-.f64 (pow.f64 (neg.f64 x) #s(literal 2 binary64)) (*.f64 y (neg.f64 x)))))
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(*.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)))
(*.f64 (pow.f64 (-.f64 y x) #s(literal 5/6 binary64)) (pow.f64 (-.f64 y x) #s(literal 1/6 binary64)))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/3 binary64)) (-.f64 y x))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (-.f64 y x))) #s(literal 2 binary64)) #s(literal 3 binary64)) (cbrt.f64 (-.f64 y x)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (-.f64 y x)) #s(literal 4 binary64)) #s(literal 1/2 binary64)) (cbrt.f64 (-.f64 y x)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (-.f64 y x)) #s(literal 5 binary64)) #s(literal 1/2 binary64)) (pow.f64 (-.f64 y x) #s(literal 1/6 binary64)))
(*.f64 (pow.f64 (pow.f64 (pow.f64 (cbrt.f64 (-.f64 y x)) #s(literal 4 binary64)) #s(literal 2 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (cbrt.f64 (-.f64 y x))))
(*.f64 (pow.f64 (pow.f64 (-.f64 y x) #s(literal 5/2 binary64)) #s(literal 1/3 binary64)) (pow.f64 (-.f64 y x) #s(literal 1/6 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (+.f64 y x) (pow.f64 y #s(literal 2 binary64))) (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 y x) (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (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 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (neg.f64 (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 y x))
(/.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) (neg.f64 (+.f64 y x)))
(/.f64 (fabs.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (fabs.f64 (fma.f64 x (+.f64 y x) (pow.f64 y #s(literal 2 binary64)))))
(/.f64 (fabs.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))) (fabs.f64 (+.f64 y x)))
(/.f64 (neg.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 x (+.f64 y x) (pow.f64 y #s(literal 2 binary64))))
(/.f64 (neg.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (fma.f64 x (+.f64 y x) (pow.f64 y #s(literal 2 binary64)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))) (+.f64 y x))
(/.f64 (neg.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))) (neg.f64 (+.f64 y x)))
(/.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 (neg.f64 x) #s(literal 3 binary64))) (fma.f64 y y (-.f64 (pow.f64 (neg.f64 x) #s(literal 2 binary64)) (*.f64 y (neg.f64 x)))))
(/.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 (neg.f64 x) #s(literal 2 binary64))) (-.f64 y (neg.f64 x)))
(/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (+.f64 y x))
(/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (fma.f64 x x (fma.f64 y y (*.f64 y x))))
(pow.f64 (-.f64 y x) #s(literal 1 binary64))
(pow.f64 (sqrt.f64 (-.f64 y x)) #s(literal 2 binary64))
(pow.f64 (pow.f64 (-.f64 y x) #s(literal 1/6 binary64)) #s(literal 6 binary64))
(pow.f64 (cbrt.f64 (-.f64 y x)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (-.f64 y x) #s(literal 3/2 binary64)) #s(literal 2/3 binary64))
(pow.f64 (pow.f64 (-.f64 y x) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (-.f64 y x) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (pow.f64 (-.f64 y x) #s(literal 1/4 binary64)) #s(literal 4 binary64))
(pow.f64 (/.f64 (fma.f64 x (+.f64 y x) (pow.f64 y #s(literal 2 binary64))) (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (+.f64 y x) (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))) #s(literal -1 binary64))
(neg.f64 (-.f64 y x))
(sqrt.f64 (pow.f64 (-.f64 y x) #s(literal 2 binary64)))
(fabs.f64 (-.f64 y x))
(log.f64 (exp.f64 (-.f64 y x)))
(cbrt.f64 (pow.f64 (-.f64 y x) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (-.f64 y x)))
(log1p.f64 (expm1.f64 (-.f64 y x)))
(exp.f64 (log.f64 (-.f64 y x)))
(exp.f64 (*.f64 (log.f64 (-.f64 y x)) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (-.f64 y x))) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (-.f64 y x))) #s(literal 3 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (-.f64 y x) #s(literal 2 binary64))) #s(literal 1/2 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 3 binary64) (log.f64 (-.f64 y x))) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (*.f64 (log.f64 (-.f64 y x)) #s(literal 1 binary64)) #s(literal 1 binary64)))
(exp.f64 (*.f64 (*.f64 (log.f64 (-.f64 y x)) #s(literal 1/2 binary64)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (*.f64 (log.f64 (sqrt.f64 (-.f64 y x))) #s(literal 1 binary64)) #s(literal 2 binary64)))
(exp.f64 (+.f64 (log.f64 (sqrt.f64 (-.f64 y x))) (*.f64 (log.f64 (-.f64 y x)) #s(literal 1/2 binary64))))
(exp.f64 (+.f64 (log.f64 (sqrt.f64 (-.f64 y x))) (*.f64 (log.f64 (sqrt.f64 (-.f64 y x))) #s(literal 1 binary64))))
(exp.f64 (+.f64 (*.f64 (log.f64 (-.f64 y x)) #s(literal 1/2 binary64)) (log.f64 (sqrt.f64 (-.f64 y x)))))
(exp.f64 (+.f64 (*.f64 (log.f64 (-.f64 y x)) #s(literal 1/2 binary64)) (*.f64 (log.f64 (-.f64 y x)) #s(literal 1/2 binary64))))
(exp.f64 (+.f64 (*.f64 (log.f64 (-.f64 y x)) #s(literal 1/2 binary64)) (*.f64 (log.f64 (sqrt.f64 (-.f64 y x))) #s(literal 1 binary64))))
(exp.f64 (+.f64 (*.f64 (log.f64 (sqrt.f64 (-.f64 y x))) #s(literal 1 binary64)) (log.f64 (sqrt.f64 (-.f64 y x)))))
(exp.f64 (+.f64 (*.f64 (log.f64 (sqrt.f64 (-.f64 y x))) #s(literal 1 binary64)) (*.f64 (log.f64 (-.f64 y x)) #s(literal 1/2 binary64))))
(exp.f64 (+.f64 (*.f64 (log.f64 (sqrt.f64 (-.f64 y x))) #s(literal 1 binary64)) (*.f64 (log.f64 (sqrt.f64 (-.f64 y x))) #s(literal 1 binary64))))
(fma.f64 y #s(literal 1 binary64) (neg.f64 x))
(fma.f64 y #s(literal 1 binary64) (*.f64 (neg.f64 x) #s(literal 1 binary64)))
(fma.f64 x #s(literal 1 binary64) (neg.f64 y))
(fma.f64 x #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) y))
(fma.f64 x #s(literal 1 binary64) (*.f64 (neg.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (cbrt.f64 y)))
(fma.f64 x #s(literal 1 binary64) (*.f64 (neg.f64 (sqrt.f64 y)) (sqrt.f64 y)))
(fma.f64 (-.f64 y x) #s(literal 1 binary64) (fma.f64 (neg.f64 x) #s(literal 1 binary64) x))
(fma.f64 (-.f64 y x) #s(literal 1 binary64) (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) x))
(fma.f64 (-.f64 y x) #s(literal 1 binary64) (+.f64 (neg.f64 x) x))
(fma.f64 (sqrt.f64 (-.f64 y x)) (sqrt.f64 (-.f64 y x)) (fma.f64 (neg.f64 x) #s(literal 1 binary64) x))
(fma.f64 (sqrt.f64 (-.f64 y x)) (sqrt.f64 (-.f64 y x)) (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) x))
(fma.f64 (sqrt.f64 (-.f64 y x)) (sqrt.f64 (-.f64 y x)) (+.f64 (neg.f64 x) x))
(fma.f64 (sqrt.f64 (-.f64 y x)) (sqrt.f64 (-.f64 y x)) (fma.f64 (neg.f64 y) #s(literal 1 binary64) y))
(fma.f64 (sqrt.f64 (-.f64 y x)) (sqrt.f64 (-.f64 y x)) (fma.f64 (neg.f64 (cbrt.f64 y)) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) y))
(fma.f64 (sqrt.f64 (-.f64 y x)) (sqrt.f64 (-.f64 y x)) (fma.f64 (neg.f64 (sqrt.f64 y)) (sqrt.f64 y) y))
(fma.f64 #s(literal 1 binary64) y (neg.f64 x))
(fma.f64 #s(literal 1 binary64) y (*.f64 (neg.f64 x) #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) x (neg.f64 y))
(fma.f64 #s(literal 1 binary64) x (*.f64 #s(literal -1 binary64) y))
(fma.f64 #s(literal 1 binary64) x (*.f64 (neg.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (cbrt.f64 y)))
(fma.f64 #s(literal 1 binary64) x (*.f64 (neg.f64 (sqrt.f64 y)) (sqrt.f64 y)))
(fma.f64 #s(literal 1 binary64) (-.f64 y x) (fma.f64 (neg.f64 x) #s(literal 1 binary64) x))
(fma.f64 #s(literal 1 binary64) (-.f64 y x) (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) x))
(fma.f64 #s(literal 1 binary64) (-.f64 y x) (+.f64 (neg.f64 x) x))
(fma.f64 #s(literal 1 binary64) (-.f64 y x) (fma.f64 (neg.f64 y) #s(literal 1 binary64) y))
(fma.f64 #s(literal 1 binary64) (-.f64 y x) (fma.f64 (neg.f64 (cbrt.f64 y)) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) y))
(fma.f64 #s(literal 1 binary64) (-.f64 y x) (fma.f64 (neg.f64 (sqrt.f64 y)) (sqrt.f64 y) y))
(fma.f64 #s(literal 1 binary64) (neg.f64 x) y)
(fma.f64 (cbrt.f64 (-.f64 y x)) (pow.f64 (cbrt.f64 (-.f64 y x)) #s(literal 2 binary64)) (fma.f64 (neg.f64 x) #s(literal 1 binary64) x))
(fma.f64 (cbrt.f64 (-.f64 y x)) (pow.f64 (cbrt.f64 (-.f64 y x)) #s(literal 2 binary64)) (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) x))
(fma.f64 (cbrt.f64 (-.f64 y x)) (pow.f64 (cbrt.f64 (-.f64 y x)) #s(literal 2 binary64)) (+.f64 (neg.f64 x) x))
(fma.f64 (pow.f64 (cbrt.f64 (-.f64 y x)) #s(literal 2 binary64)) (cbrt.f64 (-.f64 y x)) (fma.f64 (neg.f64 x) #s(literal 1 binary64) x))
(fma.f64 (pow.f64 (cbrt.f64 (-.f64 y x)) #s(literal 2 binary64)) (cbrt.f64 (-.f64 y x)) (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) x))
(fma.f64 (pow.f64 (cbrt.f64 (-.f64 y x)) #s(literal 2 binary64)) (cbrt.f64 (-.f64 y x)) (+.f64 (neg.f64 x) x))
(fma.f64 (pow.f64 (cbrt.f64 (-.f64 y x)) #s(literal 2 binary64)) (cbrt.f64 (-.f64 y x)) (fma.f64 (neg.f64 y) #s(literal 1 binary64) y))
(fma.f64 (pow.f64 (cbrt.f64 (-.f64 y x)) #s(literal 2 binary64)) (cbrt.f64 (-.f64 y x)) (fma.f64 (neg.f64 (cbrt.f64 y)) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) y))
(fma.f64 (pow.f64 (cbrt.f64 (-.f64 y x)) #s(literal 2 binary64)) (cbrt.f64 (-.f64 y x)) (fma.f64 (neg.f64 (sqrt.f64 y)) (sqrt.f64 y) y))
(fma.f64 (cbrt.f64 y) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (neg.f64 x))
(fma.f64 (cbrt.f64 y) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (*.f64 (neg.f64 x) #s(literal 1 binary64)))
(fma.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (cbrt.f64 y) (neg.f64 x))
(fma.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (cbrt.f64 y) (*.f64 (neg.f64 x) #s(literal 1 binary64)))
(fma.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (neg.f64 y))
(fma.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (*.f64 #s(literal -1 binary64) y))
(fma.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (*.f64 (neg.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (cbrt.f64 y)))
(fma.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (*.f64 (neg.f64 (sqrt.f64 y)) (sqrt.f64 y)))
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (cbrt.f64 x) (neg.f64 y))
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (cbrt.f64 x) (*.f64 #s(literal -1 binary64) y))
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (cbrt.f64 x) (*.f64 (neg.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (cbrt.f64 y)))
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (cbrt.f64 x) (*.f64 (neg.f64 (sqrt.f64 y)) (sqrt.f64 y)))
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (neg.f64 (cbrt.f64 x)) y)
(fma.f64 (pow.f64 (-.f64 y x) #s(literal 1/4 binary64)) (pow.f64 (-.f64 y x) #s(literal 3/4 binary64)) (fma.f64 (neg.f64 x) #s(literal 1 binary64) x))
(fma.f64 (pow.f64 (-.f64 y x) #s(literal 1/4 binary64)) (pow.f64 (-.f64 y x) #s(literal 3/4 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 1/4 binary64)) (pow.f64 (-.f64 y x) #s(literal 3/4 binary64)) (+.f64 (neg.f64 x) x))
(fma.f64 (sqrt.f64 y) (sqrt.f64 y) (neg.f64 x))
(fma.f64 (sqrt.f64 y) (sqrt.f64 y) (*.f64 (neg.f64 x) #s(literal 1 binary64)))
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (neg.f64 y))
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 #s(literal -1 binary64) y))
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 (neg.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (cbrt.f64 y)))
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 (neg.f64 (sqrt.f64 y)) (sqrt.f64 y)))
(fma.f64 (sqrt.f64 x) (neg.f64 (sqrt.f64 x)) y)
(fma.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)))) (fma.f64 (neg.f64 x) #s(literal 1 binary64) x))
(fma.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)))) (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) x))
(fma.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 (neg.f64 x) x))
(fma.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 y x)) (fma.f64 (neg.f64 x) #s(literal 1 binary64) x))
(fma.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 y x)) (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) x))
(fma.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 (neg.f64 x) x))
(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))
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))
(fabs.f64 (-.f64 x y))
(-.f64 y x)
(+.f64 (-.f64 y x) (fma.f64 #s(literal -1 binary64) x x))
(fabs.f64 (-.f64 x y))
(-.f64 y x)
(+.f64 (-.f64 y x) (fma.f64 (neg.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 x) x))
(fabs.f64 (-.f64 x y))
(-.f64 y x)
(+.f64 (neg.f64 x) y)
(fabs.f64 (-.f64 x y))
(-.f64 y x)
(+.f64 (neg.f64 y) (neg.f64 (neg.f64 x)))
(-.f64 x y)
(+.f64 #s(literal 0 binary64) (-.f64 y x))
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eval163.0ms (3.1%)

Compiler

Compiled 3585 to 781 computations (78.2% saved)

prune40.0ms (0.8%)

Pruning

4 alts after pruning (4 fresh and 0 done)

PrunedKeptTotal
New2924296
Fresh000
Picked101
Done000
Total2934297
Accuracy
100.0%
Counts
297 → 4
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶99.2%
(pow.f64 (pow.f64 (-.f64 y x) #s(literal 1/4 binary64)) #s(literal 2 binary64))
▶100.0%
(sqrt.f64 (-.f64 y x))
▶37.2%
(sqrt.f64 (cbrt.f64 (pow.f64 (-.f64 y x) #s(literal 3 binary64))))
▶66.1%
(cbrt.f64 (pow.f64 (-.f64 y x) #s(literal 3/2 binary64)))
Compiler

Compiled 32 to 24 computations (25% saved)

simplify97.0ms (1.9%)

Algorithm
1×egg-herbie
Localize:

Found 12 expressions of interest:

NewMetricScoreProgram
cost-diff0
(-.f64 y x)
✓cost-diff0
(pow.f64 (-.f64 y x) #s(literal 1/4 binary64))
✓cost-diff6528
(pow.f64 (pow.f64 (-.f64 y x) #s(literal 1/4 binary64)) #s(literal 2 binary64))
cost-diff0
(-.f64 y x)
✓cost-diff0
(sqrt.f64 (-.f64 y x))
cost-diff0
(-.f64 y x)
✓cost-diff0
(pow.f64 (-.f64 y x) #s(literal 3 binary64))
✓cost-diff12864
(cbrt.f64 (pow.f64 (-.f64 y x) #s(literal 3 binary64)))
✓cost-diff12864
(sqrt.f64 (cbrt.f64 (pow.f64 (-.f64 y x) #s(literal 3 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)))
Rules
1333×unsub-neg
420×distribute-lft-in
410×sub-neg
376×distribute-lft-out
360×distribute-rgt-in
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
021232
127232
247232
3133232
4445232
52095232
64391232
76432232
87848232
Stop Event
1×node limit
Calls
Call 1
Inputs
(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)
(sqrt.f64 (cbrt.f64 (pow.f64 (-.f64 y x) #s(literal 3 binary64))))
(cbrt.f64 (pow.f64 (-.f64 y x) #s(literal 3 binary64)))
(pow.f64 (-.f64 y x) #s(literal 3 binary64))
(-.f64 y x)
y
x
#s(literal 3 binary64)
(sqrt.f64 (-.f64 y x))
(-.f64 y x)
y
x
(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)
Outputs
(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)
(sqrt.f64 (cbrt.f64 (pow.f64 (-.f64 y x) #s(literal 3 binary64))))
(sqrt.f64 (-.f64 y x))
(cbrt.f64 (pow.f64 (-.f64 y x) #s(literal 3 binary64)))
(-.f64 y x)
(pow.f64 (-.f64 y x) #s(literal 3 binary64))
(-.f64 y x)
y
x
#s(literal 3 binary64)
(sqrt.f64 (-.f64 y x))
(-.f64 y x)
y
x
(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)

localize211.0ms (4.1%)

Localize:

Found 12 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(-.f64 y x)
✓accuracy100.0%
(pow.f64 (-.f64 y x) #s(literal 1/4 binary64))
✓accuracy99.2%
(pow.f64 (pow.f64 (-.f64 y x) #s(literal 1/4 binary64)) #s(literal 2 binary64))
accuracy100.0%
(-.f64 y x)
✓accuracy100.0%
(sqrt.f64 (-.f64 y x))
accuracy100.0%
(-.f64 y x)
✓accuracy100.0%
(sqrt.f64 (cbrt.f64 (pow.f64 (-.f64 y x) #s(literal 3 binary64))))
✓accuracy100.0%
(pow.f64 (-.f64 y x) #s(literal 3 binary64))
✓accuracy38.6%
(cbrt.f64 (pow.f64 (-.f64 y x) #s(literal 3 binary64)))
accuracy100.0%
(-.f64 y x)
✓accuracy100.0%
(pow.f64 (-.f64 y x) #s(literal 3/2 binary64))
✓accuracy66.1%
(cbrt.f64 (pow.f64 (-.f64 y x) #s(literal 3/2 binary64)))
Results
57.0ms256×0valid
Compiler

Compiled 72 to 16 computations (77.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 35.0ms
ival-pow: 25.0ms (71.9% of total)
ival-sqrt: 3.0ms (8.6% of total)
ival-cbrt: 3.0ms (8.6% of total)
ival-sub: 2.0ms (5.8% of total)
const: 1.0ms (2.9% of total)
backward-pass: 0.0ms (0% of total)

series61.0ms (1.2%)

Counts
8 → 192
Calls
Call 1
Inputs
#<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 (sqrt.f64 (cbrt.f64 (pow.f64 (-.f64 y x) #s(literal 3 binary64))))>
#<alt (cbrt.f64 (pow.f64 (-.f64 y x) #s(literal 3 binary64)))>
#<alt (pow.f64 (-.f64 y x) #s(literal 3 binary64))>
#<alt (sqrt.f64 (-.f64 y x))>
#<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))>
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) (cbrt.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))) (cbrt.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64)))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (cbrt.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64)))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 5 binary64)))) (cbrt.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64)))))) (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))) (cbrt.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64)))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (cbrt.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64))))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 5 binary64)))) (cbrt.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64)))))) (+.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 7 binary64)))) (cbrt.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64)))))) (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))) (cbrt.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64)))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (cbrt.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 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 (pow.f64 x #s(literal 3 binary64))) (sqrt.f64 #s(literal -1 binary64)))>
#<alt (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (/.f64 (*.f64 y (+.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64))) (pow.f64 x #s(literal 2 binary64)))) (sqrt.f64 #s(literal -1 binary64))))) (*.f64 (sqrt.f64 (pow.f64 x #s(literal 3 binary64))) (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) (pow.f64 x #s(literal 3 binary64)))) (/.f64 (*.f64 y (-.f64 (+.f64 (*.f64 #s(literal -2 binary64) x) (*.f64 #s(literal -1 binary64) x)) (*.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 (+.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64))) (pow.f64 x #s(literal 2 binary64))) #s(literal 2 binary64)) (*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))))) (sqrt.f64 #s(literal -1 binary64))))) (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (/.f64 (+.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64))) (pow.f64 x #s(literal 2 binary64))) (sqrt.f64 #s(literal -1 binary64))))))) (*.f64 (sqrt.f64 (pow.f64 x #s(literal 3 binary64))) (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) (pow.f64 x #s(literal 3 binary64)))) (/.f64 (+.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64))) (pow.f64 x #s(literal 2 binary64))) (sqrt.f64 #s(literal -1 binary64))))) (*.f64 y (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (/.f64 (*.f64 y (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (+.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64))) (pow.f64 x #s(literal 2 binary64))) (-.f64 (+.f64 (*.f64 #s(literal -2 binary64) x) (*.f64 #s(literal -1 binary64) x)) (*.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 (+.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64))) (pow.f64 x #s(literal 2 binary64))) #s(literal 2 binary64)) (*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))))) (*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))))) (sqrt.f64 #s(literal -1 binary64))))) (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (/.f64 (-.f64 (+.f64 (*.f64 #s(literal -2 binary64) x) (*.f64 #s(literal -1 binary64) x)) (*.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 (+.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64))) (pow.f64 x #s(literal 2 binary64))) #s(literal 2 binary64)) (*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))) (sqrt.f64 #s(literal -1 binary64))))))))) (*.f64 (sqrt.f64 (pow.f64 x #s(literal 3 binary64))) (sqrt.f64 #s(literal -1 binary64))))>
#<alt (sqrt.f64 (pow.f64 y #s(literal 3 binary64)))>
#<alt (*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 (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)))) (+.f64 (*.f64 #s(literal -2 binary64) x) (*.f64 #s(literal -1 binary64) x))))))>
#<alt (*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))) (+.f64 (*.f64 #s(literal -2 binary64) x) (*.f64 #s(literal -1 binary64) x)))) (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 5 binary64)))) (+.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64))) (pow.f64 x #s(literal 2 binary64))))))))>
#<alt (*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))) (+.f64 (*.f64 #s(literal -2 binary64) x) (*.f64 #s(literal -1 binary64) x)))) (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 5 binary64)))) (+.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64))) (pow.f64 x #s(literal 2 binary64))))) (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 7 binary64)))) (-.f64 (*.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 3 binary64))) (*.f64 #s(literal 1/4 binary64) (*.f64 y (pow.f64 (+.f64 (*.f64 #s(literal -2 binary64) x) (*.f64 #s(literal -1 binary64) x)) #s(literal 2 binary64)))))))))))>
#<alt (*.f64 (sqrt.f64 (pow.f64 y #s(literal 3 binary64))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))>
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#<alt (sqrt.f64 y)>
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#<alt (sqrt.f64 y)>
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#<alt (sqrt.f64 y)>
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#<alt (sqrt.f64 y)>
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#<alt (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 y) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1/2 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 (/.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 (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 -1/2 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 (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 5 binary64)))))) (+.f64 (*.f64 #s(literal -1/16 binary64) (*.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 7 binary64)))))) (*.f64 (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 (pow.f64 (*.f64 #s(literal -1 binary64) x) #s(literal 1/4 binary64))>
#<alt (+.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 3 binary64))) #s(literal 1/4 binary64)) y)) (pow.f64 (*.f64 #s(literal -1 binary64) x) #s(literal 1/4 binary64)))>
#<alt (+.f64 (*.f64 y (+.f64 (*.f64 #s(literal -1/4 binary64) (pow.f64 (/.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 3 binary64))) #s(literal 1/4 binary64))) (*.f64 #s(literal -3/32 binary64) (*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 7 binary64))) #s(literal 1/4 binary64)) y)))) (pow.f64 (*.f64 #s(literal -1 binary64) x) #s(literal 1/4 binary64)))>
#<alt (+.f64 (*.f64 y (+.f64 (*.f64 #s(literal -1/4 binary64) (pow.f64 (/.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 3 binary64))) #s(literal 1/4 binary64))) (*.f64 y (+.f64 (*.f64 #s(literal -3/32 binary64) (pow.f64 (/.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 7 binary64))) #s(literal 1/4 binary64))) (*.f64 #s(literal -7/128 binary64) (*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 11 binary64))) #s(literal 1/4 binary64)) y)))))) (pow.f64 (*.f64 #s(literal -1 binary64) x) #s(literal 1/4 binary64)))>
#<alt (pow.f64 (*.f64 #s(literal 1 binary64) y) #s(literal 1/4 binary64))>
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#<alt (+.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))) #s(literal 1/4 binary64)) x)) (+.f64 (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 7 binary64))) #s(literal 1/4 binary64)) (+.f64 (*.f64 #s(literal -1/8 binary64) (pow.f64 x #s(literal 2 binary64))) (*.f64 #s(literal 1/32 binary64) (pow.f64 x #s(literal 2 binary64))))) (pow.f64 (*.f64 #s(literal 1 binary64) y) #s(literal 1/4 binary64))))>
#<alt (+.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))) #s(literal 1/4 binary64)) x)) (+.f64 (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 7 binary64))) #s(literal 1/4 binary64)) (+.f64 (*.f64 #s(literal -1/8 binary64) (pow.f64 x #s(literal 2 binary64))) (*.f64 #s(literal 1/32 binary64) (pow.f64 x #s(literal 2 binary64))))) (+.f64 (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 11 binary64))) #s(literal 1/4 binary64)) (+.f64 (*.f64 #s(literal -1/12 binary64) (pow.f64 x #s(literal 3 binary64))) (+.f64 (*.f64 #s(literal -1/384 binary64) (pow.f64 x #s(literal 3 binary64))) (*.f64 #s(literal 1/32 binary64) (pow.f64 x #s(literal 3 binary64)))))) (pow.f64 (*.f64 #s(literal 1 binary64) y) #s(literal 1/4 binary64)))))>
#<alt (exp.f64 (*.f64 #s(literal 1/4 binary64) (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) y))))))>
#<alt (+.f64 (exp.f64 (*.f64 #s(literal 1/4 binary64) (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) y)))))) (*.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 x (exp.f64 (*.f64 #s(literal 1/4 binary64) (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) y))))))) y)))>
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#<alt (+.f64 (exp.f64 (*.f64 #s(literal 1/4 binary64) (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) y)))))) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 (exp.f64 (*.f64 #s(literal 1/4 binary64) (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) y)))))) (+.f64 (*.f64 #s(literal -1/32 binary64) (pow.f64 x #s(literal 3 binary64))) (+.f64 (*.f64 #s(literal 1/384 binary64) (pow.f64 x #s(literal 3 binary64))) (*.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 3 binary64)))))) y)) (*.f64 (exp.f64 (*.f64 #s(literal 1/4 binary64) (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) y)))))) (+.f64 (*.f64 #s(literal -1/8 binary64) (pow.f64 x #s(literal 2 binary64))) (*.f64 #s(literal 1/32 binary64) (pow.f64 x #s(literal 2 binary64)))))) y)) (*.f64 #s(literal 1/4 binary64) (*.f64 x (exp.f64 (*.f64 #s(literal 1/4 binary64) (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) y))))))))) y)))>
#<alt (pow.f64 (*.f64 #s(literal 1 binary64) y) #s(literal 1/4 binary64))>
#<alt (+.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))) #s(literal 1/4 binary64)) x)) (pow.f64 (*.f64 #s(literal 1 binary64) y) #s(literal 1/4 binary64)))>
#<alt (+.f64 (*.f64 x (+.f64 (*.f64 #s(literal -1/4 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))) #s(literal 1/4 binary64))) (*.f64 #s(literal -3/32 binary64) (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 7 binary64))) #s(literal 1/4 binary64)) x)))) (pow.f64 (*.f64 #s(literal 1 binary64) y) #s(literal 1/4 binary64)))>
#<alt (+.f64 (*.f64 x (+.f64 (*.f64 #s(literal -1/4 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))) #s(literal 1/4 binary64))) (*.f64 x (+.f64 (*.f64 #s(literal -3/32 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 7 binary64))) #s(literal 1/4 binary64))) (*.f64 #s(literal -7/128 binary64) (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 11 binary64))) #s(literal 1/4 binary64)) x)))))) (pow.f64 (*.f64 #s(literal 1 binary64) y) #s(literal 1/4 binary64)))>
#<alt (exp.f64 (*.f64 #s(literal 1/4 binary64) (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) x))))))>
#<alt (+.f64 (exp.f64 (*.f64 #s(literal 1/4 binary64) (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) x)))))) (*.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 y (exp.f64 (*.f64 #s(literal 1/4 binary64) (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) x))))))) x)))>
#<alt (+.f64 (exp.f64 (*.f64 #s(literal 1/4 binary64) (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) x)))))) (+.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 y (exp.f64 (*.f64 #s(literal 1/4 binary64) (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) x))))))) x)) (/.f64 (*.f64 (exp.f64 (*.f64 #s(literal 1/4 binary64) (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) x)))))) (+.f64 (*.f64 #s(literal -1/8 binary64) (pow.f64 y #s(literal 2 binary64))) (*.f64 #s(literal 1/32 binary64) (pow.f64 y #s(literal 2 binary64))))) (pow.f64 x #s(literal 2 binary64)))))>
#<alt (+.f64 (exp.f64 (*.f64 #s(literal 1/4 binary64) (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) x)))))) (+.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 y (exp.f64 (*.f64 #s(literal 1/4 binary64) (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) x))))))) x)) (+.f64 (/.f64 (*.f64 (exp.f64 (*.f64 #s(literal 1/4 binary64) (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) x)))))) (+.f64 (*.f64 #s(literal -1/8 binary64) (pow.f64 y #s(literal 2 binary64))) (*.f64 #s(literal 1/32 binary64) (pow.f64 y #s(literal 2 binary64))))) (pow.f64 x #s(literal 2 binary64))) (/.f64 (*.f64 (exp.f64 (*.f64 #s(literal 1/4 binary64) (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) x)))))) (+.f64 (*.f64 #s(literal -1/12 binary64) (pow.f64 y #s(literal 3 binary64))) (+.f64 (*.f64 #s(literal -1/384 binary64) (pow.f64 y #s(literal 3 binary64))) (*.f64 #s(literal 1/32 binary64) (pow.f64 y #s(literal 3 binary64)))))) (pow.f64 x #s(literal 3 binary64))))))>
#<alt (pow.f64 (*.f64 #s(literal -1 binary64) x) #s(literal 1/4 binary64))>
#<alt (+.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 3 binary64))) #s(literal 1/4 binary64)) y)) (pow.f64 (*.f64 #s(literal -1 binary64) x) #s(literal 1/4 binary64)))>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 3 binary64))) #s(literal 1/4 binary64)) (+.f64 (*.f64 #s(literal -1/8 binary64) (pow.f64 y #s(literal 2 binary64))) (*.f64 #s(literal 1/32 binary64) (pow.f64 y #s(literal 2 binary64)))))) (*.f64 #s(literal 1/4 binary64) (*.f64 (pow.f64 (*.f64 #s(literal -1 binary64) x) #s(literal 1/4 binary64)) y))) x)) (pow.f64 (*.f64 #s(literal -1 binary64) x) #s(literal 1/4 binary64)))>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 3 binary64))) #s(literal 1/4 binary64)) (+.f64 (*.f64 #s(literal -1/32 binary64) (pow.f64 y #s(literal 3 binary64))) (+.f64 (*.f64 #s(literal 1/384 binary64) (pow.f64 y #s(literal 3 binary64))) (*.f64 #s(literal 1/12 binary64) (pow.f64 y #s(literal 3 binary64))))))) (*.f64 (pow.f64 (*.f64 #s(literal -1 binary64) x) #s(literal 1/4 binary64)) (+.f64 (*.f64 #s(literal -1/8 binary64) (pow.f64 y #s(literal 2 binary64))) (*.f64 #s(literal 1/32 binary64) (pow.f64 y #s(literal 2 binary64)))))) x)) (*.f64 #s(literal 1/4 binary64) (*.f64 (pow.f64 (*.f64 #s(literal -1 binary64) x) #s(literal 1/4 binary64)) y))) x)) (pow.f64 (*.f64 #s(literal -1 binary64) x) #s(literal 1/4 binary64)))>
Calls

48 calls:

TimeVariablePointExpression
6.0ms
x
@0
(pow (pow (- y x) 1/4) 2)
4.0ms
x
@inf
(pow (pow (- y x) 1/4) 2)
3.0ms
x
@inf
(pow (- y x) 1/4)
3.0ms
y
@0
(sqrt (cbrt (pow (- y x) 3)))
2.0ms
x
@0
(pow (- y x) 3/2)

rewrite144.0ms (2.8%)

Algorithm
1×batch-egg-rewrite
Rules
660×log1p-expm1-u
660×expm1-log1p-u
359×prod-diff
339×log-prod
219×fma-define
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
021162
1233138
22184138
Stop Event
1×node limit
Counts
8 → 466
Calls
Call 1
Inputs
(cbrt.f64 (pow.f64 (-.f64 y x) #s(literal 3/2 binary64)))
(pow.f64 (-.f64 y x) #s(literal 3/2 binary64))
(sqrt.f64 (cbrt.f64 (pow.f64 (-.f64 y x) #s(literal 3 binary64))))
(cbrt.f64 (pow.f64 (-.f64 y x) #s(literal 3 binary64)))
(pow.f64 (-.f64 y x) #s(literal 3 binary64))
(sqrt.f64 (-.f64 y x))
(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))
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))))))
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(-.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 (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 (pow.f64 (-.f64 y x) #s(literal 1/6 binary64)) (cbrt.f64 (-.f64 y x)))
(*.f64 (pow.f64 (-.f64 y x) #s(literal 1/6 binary64)) (*.f64 (pow.f64 (-.f64 y x) #s(literal 1/12 binary64)) (pow.f64 (-.f64 y x) #s(literal 1/4 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 1/8 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 (pow.f64 (-.f64 y x) #s(literal 1/8 binary64)) #s(literal 3 binary64)) (pow.f64 (-.f64 y x) #s(literal 1/8 binary64)))
(*.f64 (*.f64 (pow.f64 (-.f64 y x) #s(literal 1/4 binary64)) (pow.f64 (-.f64 y x) #s(literal 1/6 binary64))) (pow.f64 (-.f64 y x) #s(literal 1/12 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 (sqrt.f64 (*.f64 x (+.f64 y x)))))
(pow.f64 (-.f64 y x) #s(literal 1/2 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 3 binary64)) #s(literal 1/6 binary64))
(pow.f64 (sqrt.f64 (-.f64 y x)) #s(literal 1 binary64))
(pow.f64 (pow.f64 (-.f64 y x) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(pow.f64 (pow.f64 (-.f64 y x) #s(literal 2 binary64)) #s(literal 1/4 binary64))
(pow.f64 (pow.f64 (-.f64 y x) #s(literal 1/6 binary64)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (-.f64 y x) #s(literal 1/12 binary64)) #s(literal 6 binary64))
(pow.f64 (cbrt.f64 (-.f64 y x)) #s(literal 3/2 binary64))
(pow.f64 (cbrt.f64 (pow.f64 (-.f64 y x) #s(literal 2 binary64))) #s(literal 3/4 binary64))
(pow.f64 (pow.f64 (-.f64 y x) #s(literal 6 binary64)) #s(literal 1/12 binary64))
(pow.f64 (pow.f64 (-.f64 y x) #s(literal 9 binary64)) #s(literal 1/18 binary64))
(pow.f64 (pow.f64 (-.f64 y x) #s(literal 9/2 binary64)) #s(literal 1/9 binary64))
(pow.f64 (pow.f64 (-.f64 y x) #s(literal 3/4 binary64)) #s(literal 2/3 binary64))
(pow.f64 (pow.f64 (-.f64 y x) #s(literal 1/8 binary64)) #s(literal 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 (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 3/2 binary64))) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (pow.f64 (-.f64 y x) #s(literal 2 binary64)))) #s(literal 3/4 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 3 binary64) (log.f64 (-.f64 y x))) #s(literal 1/6 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 2 binary64) (log.f64 (-.f64 y x))) #s(literal 1/4 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 (cbrt.f64 (-.f64 y x))) #s(literal 3/2 binary64)))
(exp.f64 (*.f64 (*.f64 (log.f64 (-.f64 y x)) #s(literal 1 binary64)) #s(literal 1/2 binary64)))
(exp.f64 (*.f64 (*.f64 (*.f64 #s(literal 3 binary64) (log.f64 (-.f64 y x))) #s(literal 1/3 binary64)) #s(literal 1/2 binary64)))
(exp.f64 (*.f64 (*.f64 (log.f64 (pow.f64 (-.f64 y x) #s(literal 3/2 binary64))) #s(literal 1 binary64)) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (*.f64 (*.f64 #s(literal 3 binary64) (log.f64 (-.f64 y x))) #s(literal 1 binary64)) #s(literal 1/6 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)))
(exp.f64 (*.f64 (*.f64 (log.f64 (pow.f64 (-.f64 y x) #s(literal 3/2 binary64))) #s(literal 1/3 binary64)) #s(literal 1 binary64)))
(exp.f64 (*.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (log.f64 (-.f64 y x))) #s(literal 1 binary64)) #s(literal 2 binary64)))
(+.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 (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 (pow.f64 (-.f64 y x) #s(literal 1/6 binary64)) (cbrt.f64 (-.f64 y x)))
(*.f64 (pow.f64 (-.f64 y x) #s(literal 1/6 binary64)) (*.f64 (pow.f64 (-.f64 y x) #s(literal 1/12 binary64)) (pow.f64 (-.f64 y x) #s(literal 1/4 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 1/8 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 (pow.f64 (-.f64 y x) #s(literal 1/8 binary64)) #s(literal 3 binary64)) (pow.f64 (-.f64 y x) #s(literal 1/8 binary64)))
(*.f64 (*.f64 (pow.f64 (-.f64 y x) #s(literal 1/4 binary64)) (pow.f64 (-.f64 y x) #s(literal 1/6 binary64))) (pow.f64 (-.f64 y x) #s(literal 1/12 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 (sqrt.f64 (*.f64 x (+.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 (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 3/2 binary64))) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (pow.f64 (-.f64 y x) #s(literal 2 binary64)))) #s(literal 3/4 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 3 binary64) (log.f64 (-.f64 y x))) #s(literal 1/6 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 2 binary64) (log.f64 (-.f64 y x))) #s(literal 1/4 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 (cbrt.f64 (-.f64 y x))) #s(literal 3/2 binary64)))
(exp.f64 (*.f64 (*.f64 (log.f64 (-.f64 y x)) #s(literal 1 binary64)) #s(literal 1/2 binary64)))
(exp.f64 (*.f64 (*.f64 (*.f64 #s(literal 3 binary64) (log.f64 (-.f64 y x))) #s(literal 1/3 binary64)) #s(literal 1/2 binary64)))
(exp.f64 (*.f64 (*.f64 (log.f64 (pow.f64 (-.f64 y x) #s(literal 3/2 binary64))) #s(literal 1 binary64)) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (*.f64 (*.f64 #s(literal 3 binary64) (log.f64 (-.f64 y x))) #s(literal 1 binary64)) #s(literal 1/6 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)))
(exp.f64 (*.f64 (*.f64 (log.f64 (pow.f64 (-.f64 y x) #s(literal 3/2 binary64))) #s(literal 1/3 binary64)) #s(literal 1 binary64)))
(exp.f64 (*.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (log.f64 (-.f64 y x))) #s(literal 1 binary64)) #s(literal 2 binary64)))
(+.f64 #s(literal 0 binary64) (pow.f64 (-.f64 y x) #s(literal 1/4 binary64)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (pow.f64 (-.f64 y x) #s(literal 1/4 binary64)))) #s(literal 2 binary64))) (log.f64 (cbrt.f64 (exp.f64 (pow.f64 (-.f64 y x) #s(literal 1/4 binary64))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (-.f64 y x) #s(literal 1/4 binary64))))) (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (-.f64 y x) #s(literal 1/4 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 (pow.f64 (-.f64 y x) #s(literal 1/4 binary64)) (log.f64 (exp.f64 #s(literal 1 binary64))))
(*.f64 #s(literal 1 binary64) (pow.f64 (-.f64 y x) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 (-.f64 y x) #s(literal 1/6 binary64)) (pow.f64 (-.f64 y x) #s(literal 1/12 binary64)))
(*.f64 (pow.f64 (-.f64 y x) #s(literal 1/12 binary64)) (pow.f64 (-.f64 y x) #s(literal 1/6 binary64)))
(*.f64 (pow.f64 (-.f64 y x) #s(literal 1/8 binary64)) (pow.f64 (-.f64 y x) #s(literal 1/8 binary64)))
(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)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (-.f64 y x))) #s(literal 3/4 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (-.f64 y x) #s(literal 3/2 binary64))) #s(literal 1/6 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 3 binary64) (log.f64 (-.f64 y x))) #s(literal 1/12 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (-.f64 y x))) #s(literal 1/2 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 2 binary64) (log.f64 (-.f64 y x))) #s(literal 1/8 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (-.f64 y x) #s(literal 1/12 binary64))) #s(literal 3 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (-.f64 y x) #s(literal 3/4 binary64))) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (log.f64 (-.f64 y x))) #s(literal 2 binary64)))
(exp.f64 (*.f64 (*.f64 (log.f64 (-.f64 y x)) #s(literal 1 binary64)) #s(literal 1/4 binary64)))
(exp.f64 (*.f64 (*.f64 (*.f64 #s(literal 3 binary64) (log.f64 (-.f64 y x))) #s(literal 1/3 binary64)) #s(literal 1/4 binary64)))
(exp.f64 (*.f64 (*.f64 (log.f64 (pow.f64 (-.f64 y x) #s(literal 3/2 binary64))) #s(literal 1 binary64)) #s(literal 1/6 binary64)))
(exp.f64 (*.f64 (*.f64 (*.f64 #s(literal 3 binary64) (log.f64 (-.f64 y x))) #s(literal 1 binary64)) #s(literal 1/12 binary64)))
(exp.f64 (*.f64 (*.f64 (log.f64 (-.f64 y x)) #s(literal 1/2 binary64)) #s(literal 1/2 binary64)))
(exp.f64 (*.f64 (*.f64 (log.f64 (sqrt.f64 (-.f64 y x))) #s(literal 1 binary64)) #s(literal 1/2 binary64)))
(exp.f64 (*.f64 (*.f64 (log.f64 (pow.f64 (-.f64 y x) #s(literal 3/2 binary64))) #s(literal 1/3 binary64)) #s(literal 1/2 binary64)))
(exp.f64 (*.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (log.f64 (-.f64 y x))) #s(literal 1 binary64)) #s(literal 1 binary64)))
(exp.f64 (*.f64 (*.f64 (log.f64 (-.f64 y x)) #s(literal 3/4 binary64)) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (*.f64 (log.f64 (-.f64 y x)) #s(literal 1/8 binary64)) #s(literal 2 binary64)))

simplify384.0ms (7.4%)

Algorithm
1×egg-herbie
Rules
647×distribute-lft-in
645×distribute-rgt-in
453×*-commutative
351×associate-+r+
280×associate-+l+
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0128625769833851
1352525769832767
Stop Event
1×node limit
Counts
658 → 635
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) (cbrt.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64)))))
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))) (cbrt.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64)))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (cbrt.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64)))))))
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 5 binary64)))) (cbrt.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64)))))) (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))) (cbrt.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64)))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (cbrt.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64))))))))
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 5 binary64)))) (cbrt.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64)))))) (+.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 7 binary64)))) (cbrt.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64)))))) (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))) (cbrt.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64)))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (cbrt.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64)))))))))
(sqrt.f64 y)
(+.f64 (sqrt.f64 y) (*.f64 #s(literal -1/2 binary64) (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) y)))))
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(*.f64 (pow.f64 (-.f64 y x) #s(literal 1/6 binary64)) (pow.f64 (-.f64 y x) #s(literal 1/12 binary64)))
(*.f64 (pow.f64 (-.f64 y x) #s(literal 1/12 binary64)) (pow.f64 (-.f64 y x) #s(literal 1/6 binary64)))
(*.f64 (pow.f64 (-.f64 y x) #s(literal 1/8 binary64)) (pow.f64 (-.f64 y x) #s(literal 1/8 binary64)))
(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)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (-.f64 y x))) #s(literal 3/4 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (-.f64 y x) #s(literal 3/2 binary64))) #s(literal 1/6 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 3 binary64) (log.f64 (-.f64 y x))) #s(literal 1/12 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (-.f64 y x))) #s(literal 1/2 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 2 binary64) (log.f64 (-.f64 y x))) #s(literal 1/8 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (-.f64 y x) #s(literal 1/12 binary64))) #s(literal 3 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (-.f64 y x) #s(literal 3/4 binary64))) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (log.f64 (-.f64 y x))) #s(literal 2 binary64)))
(exp.f64 (*.f64 (*.f64 (log.f64 (-.f64 y x)) #s(literal 1 binary64)) #s(literal 1/4 binary64)))
(exp.f64 (*.f64 (*.f64 (*.f64 #s(literal 3 binary64) (log.f64 (-.f64 y x))) #s(literal 1/3 binary64)) #s(literal 1/4 binary64)))
(exp.f64 (*.f64 (*.f64 (log.f64 (pow.f64 (-.f64 y x) #s(literal 3/2 binary64))) #s(literal 1 binary64)) #s(literal 1/6 binary64)))
(exp.f64 (*.f64 (*.f64 (*.f64 #s(literal 3 binary64) (log.f64 (-.f64 y x))) #s(literal 1 binary64)) #s(literal 1/12 binary64)))
(exp.f64 (*.f64 (*.f64 (log.f64 (-.f64 y x)) #s(literal 1/2 binary64)) #s(literal 1/2 binary64)))
(exp.f64 (*.f64 (*.f64 (log.f64 (sqrt.f64 (-.f64 y x))) #s(literal 1 binary64)) #s(literal 1/2 binary64)))
(exp.f64 (*.f64 (*.f64 (log.f64 (pow.f64 (-.f64 y x) #s(literal 3/2 binary64))) #s(literal 1/3 binary64)) #s(literal 1/2 binary64)))
(exp.f64 (*.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (log.f64 (-.f64 y x))) #s(literal 1 binary64)) #s(literal 1 binary64)))
(exp.f64 (*.f64 (*.f64 (log.f64 (-.f64 y x)) #s(literal 3/4 binary64)) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (*.f64 (log.f64 (-.f64 y x)) #s(literal 1/8 binary64)) #s(literal 2 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 -1/8 binary64) (*.f64 (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 #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))))
(+.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 #s(literal 1/2 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal -1 binary64))) (*.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 #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) 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)) (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)) (+.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 #s(literal -1 binary64) (*.f64 (sqrt.f64 y) (cbrt.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64)))))
(neg.f64 (*.f64 (sqrt.f64 y) (cbrt.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64)))))
(*.f64 (cbrt.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64))) (neg.f64 (sqrt.f64 y)))
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))) (cbrt.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64)))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (cbrt.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64)))))))
(neg.f64 (*.f64 y (fma.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))) (cbrt.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (cbrt.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64)))))))
(*.f64 y (neg.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))) (cbrt.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (cbrt.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64)))))))
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 5 binary64)))) (cbrt.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64)))))) (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))) (cbrt.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64)))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (cbrt.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64))))))))
(neg.f64 (*.f64 y (fma.f64 #s(literal -1/8 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 5 binary64)))) (cbrt.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64))))) (fma.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))) (cbrt.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (cbrt.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64))))))))
(*.f64 (fma.f64 #s(literal -1/8 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 5 binary64)))) (cbrt.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64))))) (fma.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))) (cbrt.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (cbrt.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64)))))) (neg.f64 y))
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 5 binary64)))) (cbrt.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64)))))) (+.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 7 binary64)))) (cbrt.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64)))))) (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))) (cbrt.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64)))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (cbrt.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64)))))))))
(neg.f64 (*.f64 y (fma.f64 #s(literal -1/8 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 5 binary64)))) (cbrt.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64))))) (fma.f64 #s(literal 1/16 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 7 binary64)))) (cbrt.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64))))) (fma.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))) (cbrt.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (cbrt.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64)))))))))
(*.f64 y (neg.f64 (fma.f64 #s(literal -1/8 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 5 binary64)))) (cbrt.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64))))) (fma.f64 #s(literal 1/16 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 7 binary64)))) (cbrt.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64))))) (fma.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))) (cbrt.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (cbrt.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 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 (*.f64 #s(literal -1/2 binary64) 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 (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))))))))
(+.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))))))))))
(*.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 (+.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))))))
(*.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)) (*.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal -1 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 (*.f64 #s(literal 2 binary64) (log.f64 (-.f64 y x))) #s(literal 1/4 binary64)))
(sqrt.f64 (-.f64 y x))
(exp.f64 (*.f64 (log.f64 (pow.f64 (-.f64 y x) #s(literal 1/6 binary64))) #s(literal 3 binary64)))
(pow.f64 (pow.f64 (-.f64 y x) #s(literal 1/6 binary64)) #s(literal 3 binary64))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (-.f64 y x))) #s(literal 3/2 binary64)))
(pow.f64 (cbrt.f64 (-.f64 y x)) #s(literal 3/2 binary64))
(exp.f64 (*.f64 (*.f64 (log.f64 (-.f64 y x)) #s(literal 1 binary64)) #s(literal 1/2 binary64)))
(sqrt.f64 (-.f64 y x))
(exp.f64 (*.f64 (*.f64 (*.f64 #s(literal 3 binary64) (log.f64 (-.f64 y x))) #s(literal 1/3 binary64)) #s(literal 1/2 binary64)))
(sqrt.f64 (-.f64 y x))
(exp.f64 (*.f64 (*.f64 (log.f64 (pow.f64 (-.f64 y x) #s(literal 3/2 binary64))) #s(literal 1 binary64)) #s(literal 1/3 binary64)))
(sqrt.f64 (-.f64 y x))
(exp.f64 (*.f64 (*.f64 (*.f64 #s(literal 3 binary64) (log.f64 (-.f64 y x))) #s(literal 1 binary64)) #s(literal 1/6 binary64)))
(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 (-.f64 y x))
(exp.f64 (*.f64 (*.f64 (log.f64 (sqrt.f64 (-.f64 y x))) #s(literal 1 binary64)) #s(literal 1 binary64)))
(sqrt.f64 (-.f64 y x))
(exp.f64 (*.f64 (*.f64 (log.f64 (pow.f64 (-.f64 y x) #s(literal 3/2 binary64))) #s(literal 1/3 binary64)) #s(literal 1 binary64)))
(sqrt.f64 (-.f64 y x))
(exp.f64 (*.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (log.f64 (-.f64 y x))) #s(literal 1 binary64)) #s(literal 2 binary64)))
(sqrt.f64 (-.f64 y x))
(+.f64 #s(literal 0 binary64) (sqrt.f64 (-.f64 y x)))
(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))
(expm1.f64 (log1p.f64 (sqrt.f64 (-.f64 y x))))
(*.f64 (sqrt.f64 (-.f64 y x)) #s(literal 1 binary64))
(sqrt.f64 (-.f64 y x))
(*.f64 (sqrt.f64 (-.f64 y x)) (log.f64 (exp.f64 #s(literal 1 binary64))))
(sqrt.f64 (-.f64 y x))
(*.f64 (pow.f64 (-.f64 y x) #s(literal 1/4 binary64)) (pow.f64 (-.f64 y x) #s(literal 1/4 binary64)))
(sqrt.f64 (-.f64 y x))
(*.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 y x)))
(sqrt.f64 (-.f64 y x))
(*.f64 (pow.f64 (-.f64 y x) #s(literal 1/6 binary64)) (cbrt.f64 (-.f64 y x)))
(*.f64 (pow.f64 (-.f64 y x) #s(literal 1/6 binary64)) (*.f64 (pow.f64 (-.f64 y x) #s(literal 1/12 binary64)) (pow.f64 (-.f64 y x) #s(literal 1/4 binary64))))
(*.f64 (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 1/12 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)))
(*.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))))
(sqrt.f64 (-.f64 y x))
(*.f64 (pow.f64 (pow.f64 (-.f64 y x) #s(literal 1/8 binary64)) #s(literal 3 binary64)) (pow.f64 (-.f64 y x) #s(literal 1/8 binary64)))
(sqrt.f64 (-.f64 y x))
(*.f64 (*.f64 (pow.f64 (-.f64 y x) #s(literal 1/4 binary64)) (pow.f64 (-.f64 y x) #s(literal 1/6 binary64))) (pow.f64 (-.f64 y x) #s(literal 1/12 binary64)))
(*.f64 (pow.f64 (-.f64 y x) #s(literal 1/4 binary64)) (*.f64 (pow.f64 (-.f64 y x) #s(literal 1/6 binary64)) (pow.f64 (-.f64 y x) #s(literal 1/12 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 (sqrt.f64 (*.f64 x (+.f64 y x)))))
(/.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)))))
(sqrt.f64 (-.f64 y x))
(fabs.f64 (sqrt.f64 (-.f64 y x)))
(sqrt.f64 (-.f64 y x))
(log.f64 (exp.f64 (sqrt.f64 (-.f64 y x))))
(sqrt.f64 (-.f64 y x))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (sqrt.f64 (-.f64 y x)))))
(sqrt.f64 (-.f64 y x))
(cbrt.f64 (pow.f64 (-.f64 y x) #s(literal 3/2 binary64)))
(sqrt.f64 (-.f64 y x))
(expm1.f64 (log1p.f64 (sqrt.f64 (-.f64 y x))))
(hypot.f64 (sqrt.f64 y) (sqrt.f64 (neg.f64 x)))
(sqrt.f64 (-.f64 y x))
(hypot.f64 (sqrt.f64 (neg.f64 x)) (sqrt.f64 y))
(sqrt.f64 (-.f64 y x))
(log1p.f64 (expm1.f64 (sqrt.f64 (-.f64 y x))))
(sqrt.f64 (-.f64 y x))
(exp.f64 (log.f64 (sqrt.f64 (-.f64 y x))))
(sqrt.f64 (-.f64 y x))
(exp.f64 (*.f64 (log.f64 (-.f64 y x)) #s(literal 1/2 binary64)))
(sqrt.f64 (-.f64 y x))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (-.f64 y x))) #s(literal 1 binary64)))
(sqrt.f64 (-.f64 y x))
(exp.f64 (*.f64 (log.f64 (pow.f64 (-.f64 y x) #s(literal 3/2 binary64))) #s(literal 1/3 binary64)))
(sqrt.f64 (-.f64 y x))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (pow.f64 (-.f64 y x) #s(literal 2 binary64)))) #s(literal 3/4 binary64)))
(pow.f64 (cbrt.f64 (pow.f64 (-.f64 y x) #s(literal 2 binary64))) #s(literal 3/4 binary64))
(exp.f64 (*.f64 (*.f64 #s(literal 3 binary64) (log.f64 (-.f64 y x))) #s(literal 1/6 binary64)))
(sqrt.f64 (-.f64 y x))
(exp.f64 (*.f64 (*.f64 #s(literal 2 binary64) (log.f64 (-.f64 y x))) #s(literal 1/4 binary64)))
(sqrt.f64 (-.f64 y x))
(exp.f64 (*.f64 (log.f64 (pow.f64 (-.f64 y x) #s(literal 1/6 binary64))) #s(literal 3 binary64)))
(pow.f64 (pow.f64 (-.f64 y x) #s(literal 1/6 binary64)) #s(literal 3 binary64))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (-.f64 y x))) #s(literal 3/2 binary64)))
(pow.f64 (cbrt.f64 (-.f64 y x)) #s(literal 3/2 binary64))
(exp.f64 (*.f64 (*.f64 (log.f64 (-.f64 y x)) #s(literal 1 binary64)) #s(literal 1/2 binary64)))
(sqrt.f64 (-.f64 y x))
(exp.f64 (*.f64 (*.f64 (*.f64 #s(literal 3 binary64) (log.f64 (-.f64 y x))) #s(literal 1/3 binary64)) #s(literal 1/2 binary64)))
(sqrt.f64 (-.f64 y x))
(exp.f64 (*.f64 (*.f64 (log.f64 (pow.f64 (-.f64 y x) #s(literal 3/2 binary64))) #s(literal 1 binary64)) #s(literal 1/3 binary64)))
(sqrt.f64 (-.f64 y x))
(exp.f64 (*.f64 (*.f64 (*.f64 #s(literal 3 binary64) (log.f64 (-.f64 y x))) #s(literal 1 binary64)) #s(literal 1/6 binary64)))
(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 (-.f64 y x))
(exp.f64 (*.f64 (*.f64 (log.f64 (sqrt.f64 (-.f64 y x))) #s(literal 1 binary64)) #s(literal 1 binary64)))
(sqrt.f64 (-.f64 y x))
(exp.f64 (*.f64 (*.f64 (log.f64 (pow.f64 (-.f64 y x) #s(literal 3/2 binary64))) #s(literal 1/3 binary64)) #s(literal 1 binary64)))
(sqrt.f64 (-.f64 y x))
(exp.f64 (*.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (log.f64 (-.f64 y x))) #s(literal 1 binary64)) #s(literal 2 binary64)))
(sqrt.f64 (-.f64 y x))
(+.f64 #s(literal 0 binary64) (pow.f64 (-.f64 y x) #s(literal 1/4 binary64)))
(pow.f64 (-.f64 y x) #s(literal 1/4 binary64))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (pow.f64 (-.f64 y x) #s(literal 1/4 binary64)))) #s(literal 2 binary64))) (log.f64 (cbrt.f64 (exp.f64 (pow.f64 (-.f64 y x) #s(literal 1/4 binary64))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (-.f64 y x) #s(literal 1/4 binary64))))) (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (-.f64 y x) #s(literal 1/4 binary64))))))
(*.f64 #s(literal 2 binary64) (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (-.f64 y x) #s(literal 1/4 binary64))))))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (-.f64 y x) #s(literal 1/4 binary64)))) #s(literal 1 binary64))
(expm1.f64 (log1p.f64 (pow.f64 (-.f64 y x) #s(literal 1/4 binary64))))
(*.f64 (pow.f64 (-.f64 y x) #s(literal 1/4 binary64)) #s(literal 1 binary64))
(pow.f64 (-.f64 y x) #s(literal 1/4 binary64))
(*.f64 (pow.f64 (-.f64 y x) #s(literal 1/4 binary64)) (log.f64 (exp.f64 #s(literal 1 binary64))))
(pow.f64 (-.f64 y x) #s(literal 1/4 binary64))
(*.f64 #s(literal 1 binary64) (pow.f64 (-.f64 y x) #s(literal 1/4 binary64)))
(pow.f64 (-.f64 y x) #s(literal 1/4 binary64))
(*.f64 (pow.f64 (-.f64 y x) #s(literal 1/6 binary64)) (pow.f64 (-.f64 y x) #s(literal 1/12 binary64)))
(*.f64 (pow.f64 (-.f64 y x) #s(literal 1/12 binary64)) (pow.f64 (-.f64 y x) #s(literal 1/6 binary64)))
(*.f64 (pow.f64 (-.f64 y x) #s(literal 1/6 binary64)) (pow.f64 (-.f64 y x) #s(literal 1/12 binary64)))
(*.f64 (pow.f64 (-.f64 y x) #s(literal 1/8 binary64)) (pow.f64 (-.f64 y x) #s(literal 1/8 binary64)))
(pow.f64 (-.f64 y x) #s(literal 1/4 binary64))
(sqrt.f64 (sqrt.f64 (-.f64 y x)))
(pow.f64 (-.f64 y x) #s(literal 1/4 binary64))
(fabs.f64 (pow.f64 (-.f64 y x) #s(literal 1/4 binary64)))
(pow.f64 (-.f64 y x) #s(literal 1/4 binary64))
(log.f64 (exp.f64 (pow.f64 (-.f64 y x) #s(literal 1/4 binary64))))
(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)))))
(pow.f64 (-.f64 y x) #s(literal 1/4 binary64))
(cbrt.f64 (pow.f64 (-.f64 y x) #s(literal 3/4 binary64)))
(pow.f64 (-.f64 y x) #s(literal 1/4 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))))
(pow.f64 (-.f64 y x) #s(literal 1/4 binary64))
(exp.f64 (*.f64 #s(literal 1/4 binary64) (log.f64 (-.f64 y x))))
(pow.f64 (-.f64 y x) #s(literal 1/4 binary64))
(exp.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (log.f64 (-.f64 y x))) #s(literal 1 binary64)))
(pow.f64 (-.f64 y x) #s(literal 1/4 binary64))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (-.f64 y x))) #s(literal 3/4 binary64)))
(pow.f64 (cbrt.f64 (-.f64 y x)) #s(literal 3/4 binary64))
(exp.f64 (*.f64 (log.f64 (pow.f64 (-.f64 y x) #s(literal 3/2 binary64))) #s(literal 1/6 binary64)))
(pow.f64 (-.f64 y x) #s(literal 1/4 binary64))
(exp.f64 (*.f64 (*.f64 #s(literal 3 binary64) (log.f64 (-.f64 y x))) #s(literal 1/12 binary64)))
(pow.f64 (-.f64 y x) #s(literal 1/4 binary64))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (-.f64 y x))) #s(literal 1/2 binary64)))
(pow.f64 (-.f64 y x) #s(literal 1/4 binary64))
(exp.f64 (*.f64 (*.f64 #s(literal 2 binary64) (log.f64 (-.f64 y x))) #s(literal 1/8 binary64)))
(pow.f64 (-.f64 y x) #s(literal 1/4 binary64))
(exp.f64 (*.f64 (log.f64 (pow.f64 (-.f64 y x) #s(literal 1/12 binary64))) #s(literal 3 binary64)))
(pow.f64 (pow.f64 (-.f64 y x) #s(literal 1/12 binary64)) #s(literal 3 binary64))
(exp.f64 (*.f64 (log.f64 (pow.f64 (-.f64 y x) #s(literal 3/4 binary64))) #s(literal 1/3 binary64)))
(pow.f64 (-.f64 y x) #s(literal 1/4 binary64))
(exp.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (log.f64 (-.f64 y x))) #s(literal 2 binary64)))
(pow.f64 (-.f64 y x) #s(literal 1/4 binary64))
(exp.f64 (*.f64 (*.f64 (log.f64 (-.f64 y x)) #s(literal 1 binary64)) #s(literal 1/4 binary64)))
(pow.f64 (-.f64 y x) #s(literal 1/4 binary64))
(exp.f64 (*.f64 (*.f64 (*.f64 #s(literal 3 binary64) (log.f64 (-.f64 y x))) #s(literal 1/3 binary64)) #s(literal 1/4 binary64)))
(pow.f64 (-.f64 y x) #s(literal 1/4 binary64))
(exp.f64 (*.f64 (*.f64 (log.f64 (pow.f64 (-.f64 y x) #s(literal 3/2 binary64))) #s(literal 1 binary64)) #s(literal 1/6 binary64)))
(pow.f64 (-.f64 y x) #s(literal 1/4 binary64))
(exp.f64 (*.f64 (*.f64 (*.f64 #s(literal 3 binary64) (log.f64 (-.f64 y x))) #s(literal 1 binary64)) #s(literal 1/12 binary64)))
(pow.f64 (-.f64 y x) #s(literal 1/4 binary64))
(exp.f64 (*.f64 (*.f64 (log.f64 (-.f64 y x)) #s(literal 1/2 binary64)) #s(literal 1/2 binary64)))
(pow.f64 (-.f64 y x) #s(literal 1/4 binary64))
(exp.f64 (*.f64 (*.f64 (log.f64 (sqrt.f64 (-.f64 y x))) #s(literal 1 binary64)) #s(literal 1/2 binary64)))
(pow.f64 (-.f64 y x) #s(literal 1/4 binary64))
(exp.f64 (*.f64 (*.f64 (log.f64 (pow.f64 (-.f64 y x) #s(literal 3/2 binary64))) #s(literal 1/3 binary64)) #s(literal 1/2 binary64)))
(pow.f64 (-.f64 y x) #s(literal 1/4 binary64))
(exp.f64 (*.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (log.f64 (-.f64 y x))) #s(literal 1 binary64)) #s(literal 1 binary64)))
(pow.f64 (-.f64 y x) #s(literal 1/4 binary64))
(exp.f64 (*.f64 (*.f64 (log.f64 (-.f64 y x)) #s(literal 3/4 binary64)) #s(literal 1/3 binary64)))
(pow.f64 (-.f64 y x) #s(literal 1/4 binary64))
(exp.f64 (*.f64 (*.f64 (log.f64 (-.f64 y x)) #s(literal 1/8 binary64)) #s(literal 2 binary64)))
(pow.f64 (-.f64 y x) #s(literal 1/4 binary64))

eval272.0ms (5.2%)

Compiler

Compiled 14105 to 2758 computations (80.4% saved)

prune217.0ms (4.2%)

Pruning

6 alts after pruning (2 fresh and 4 done)

PrunedKeptTotal
New6852687
Fresh000
Picked044
Done000
Total6856691
Accuracy
100.0%
Counts
691 → 6
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓99.2%
(pow.f64 (pow.f64 (-.f64 y x) #s(literal 1/4 binary64)) #s(literal 2 binary64))
✓100.0%
(sqrt.f64 (-.f64 y x))
▶53.2%
(sqrt.f64 (neg.f64 x))
✓37.2%
(sqrt.f64 (cbrt.f64 (pow.f64 (-.f64 y x) #s(literal 3 binary64))))
▶48.0%
(sqrt.f64 y)
✓66.1%
(cbrt.f64 (pow.f64 (-.f64 y x) #s(literal 3/2 binary64)))
Compiler

Compiled 41 to 31 computations (24.4% saved)

simplify7.0ms (0.1%)

Algorithm
1×egg-herbie
Localize:

Found 3 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(neg.f64 x)
✓cost-diff0
(sqrt.f64 (neg.f64 x))
✓cost-diff0
(sqrt.f64 y)
Rules
3×sub-neg
2×fma-define
2×+-commutative
1×*-commutative
1×associate--r+
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01036
11536
21736
31936
42436
52836
63336
Stop Event
1×saturated
Calls
Call 1
Inputs
(sqrt.f64 y)
y
(sqrt.f64 (neg.f64 x))
(neg.f64 x)
x
Outputs
(sqrt.f64 y)
y
(sqrt.f64 (neg.f64 x))
(neg.f64 x)
x

localize21.0ms (0.4%)

Localize:

Found 3 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(sqrt.f64 (neg.f64 x))
✓accuracy100.0%
(neg.f64 x)
✓accuracy100.0%
(sqrt.f64 y)
Results
7.0ms135×0invalid
6.0ms121×0valid
Compiler

Compiled 12 to 6 computations (50% saved)

Precisions
Click to see histograms. Total time spent on operations: 5.0ms
ival-sqrt: 4.0ms (81.4% of total)
ival-neg: 1.0ms (20.4% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

series4.0ms (0.1%)

Counts
3 → 28
Calls
Call 1
Inputs
#<alt (sqrt.f64 y)>
#<alt (sqrt.f64 (neg.f64 x))>
#<alt (neg.f64 x)>
Outputs
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 y) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 y) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 y) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 y) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))>
#<alt (*.f64 (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 (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 (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)>
Calls

9 calls:

TimeVariablePointExpression
1.0ms
y
@-inf
(sqrt y)
0.0ms
x
@0
(sqrt (neg x))
0.0ms
x
@inf
(sqrt (neg x))
0.0ms
y
@0
(sqrt y)
0.0ms
y
@inf
(sqrt y)

rewrite79.0ms (1.5%)

Algorithm
1×batch-egg-rewrite
Rules
379×unpow-prod-down
301×log1p-expm1-u
301×expm1-log1p-u
285×add-exp-log
277×pow1
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01028
110720
2115520
Stop Event
1×node limit
Counts
3 → 177
Calls
Call 1
Inputs
(sqrt.f64 y)
(sqrt.f64 (neg.f64 x))
(neg.f64 x)
Outputs
(+.f64 #s(literal 0 binary64) (sqrt.f64 y))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (sqrt.f64 y))) #s(literal 2 binary64))) (log.f64 (cbrt.f64 (exp.f64 (sqrt.f64 y)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 y)))) (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 y)))))
(-.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 y)) #s(literal 1 binary64))
(*.f64 (sqrt.f64 y) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (sqrt.f64 y))
(*.f64 (pow.f64 y #s(literal 1/6 binary64)) (cbrt.f64 y))
(*.f64 (cbrt.f64 y) (pow.f64 y #s(literal 1/6 binary64)))
(*.f64 (pow.f64 y #s(literal 1/4 binary64)) (pow.f64 y #s(literal 1/4 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 y)) #s(literal 2 binary64)) (pow.f64 (pow.f64 y #s(literal 5/6 binary64)) #s(literal 1/3 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 y)) #s(literal 2 binary64)) (cbrt.f64 (pow.f64 y #s(literal 5/6 binary64))))
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 y) #s(literal 4 binary64))) (cbrt.f64 (pow.f64 y #s(literal 1/6 binary64))))
(*.f64 (pow.f64 y #s(literal 1/8 binary64)) (pow.f64 (pow.f64 y #s(literal 3/4 binary64)) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 y #s(literal 1/8 binary64)) (sqrt.f64 (pow.f64 y #s(literal 3/4 binary64))))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/3 binary64)) (sqrt.f64 y))
(*.f64 (pow.f64 (pow.f64 y #s(literal 3/4 binary64)) #s(literal 1/2 binary64)) (pow.f64 y #s(literal 1/8 binary64)))
(*.f64 (pow.f64 (pow.f64 y #s(literal 5/6 binary64)) #s(literal 1/2 binary64)) (pow.f64 (sqrt.f64 y) #s(literal 1/6 binary64)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 y) #s(literal 4 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (pow.f64 y #s(literal 1/6 binary64))))
(*.f64 (pow.f64 (pow.f64 y #s(literal 5/4 binary64)) #s(literal 1/3 binary64)) (pow.f64 (sqrt.f64 y) #s(literal 1/6 binary64)))
(*.f64 (cbrt.f64 (pow.f64 y #s(literal 5/4 binary64))) (pow.f64 (sqrt.f64 y) #s(literal 1/6 binary64)))
(*.f64 (sqrt.f64 (pow.f64 y #s(literal 5/6 binary64))) (pow.f64 (sqrt.f64 y) #s(literal 1/6 binary64)))
(*.f64 (sqrt.f64 (pow.f64 y #s(literal 3/4 binary64))) (pow.f64 y #s(literal 1/8 binary64)))
(/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 y)) #s(literal 3 binary64)) #s(literal 1 binary64)) (+.f64 (*.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 y)) (+.f64 #s(literal 1 binary64) (sqrt.f64 y))) (+.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 y)) #s(literal 1 binary64)))))
(pow.f64 y #s(literal 1/2 binary64))
(pow.f64 (sqrt.f64 y) #s(literal 1 binary64))
(pow.f64 (pow.f64 y #s(literal 1/6 binary64)) #s(literal 3 binary64))
(pow.f64 (cbrt.f64 y) #s(literal 3/2 binary64))
(pow.f64 (pow.f64 y #s(literal 3/2 binary64)) #s(literal 1/3 binary64))
(pow.f64 (pow.f64 y #s(literal 2 binary64)) #s(literal 1/4 binary64))
(pow.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1/6 binary64))
(pow.f64 (pow.f64 y #s(literal 1/4 binary64)) #s(literal 2 binary64))
(pow.f64 (E.f64) (log.f64 (sqrt.f64 y)))
(pow.f64 (exp.f64 #s(literal 1/2 binary64)) (log.f64 y))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (sqrt.f64 y))) #s(literal 2 binary64))) (cbrt.f64 (log.f64 (sqrt.f64 y))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (sqrt.f64 y)))) (sqrt.f64 (log.f64 (sqrt.f64 y))))
(fabs.f64 (sqrt.f64 y))
(fabs.f64 (neg.f64 (sqrt.f64 y)))
(fabs.f64 (-.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (sqrt.f64 y))))
(log.f64 (exp.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 (pow.f64 y #s(literal 1/6 binary64))) #s(literal 3 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 3/2 binary64) (log.f64 y)) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (log.f64 y)) #s(literal 2 binary64)))
(+.f64 #s(literal 0 binary64) (sqrt.f64 x))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (sqrt.f64 x))) #s(literal 2 binary64))) (log.f64 (cbrt.f64 (exp.f64 (sqrt.f64 x)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 x)))) (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 x)))))
(-.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 1 binary64))
(*.f64 (sqrt.f64 x) #s(literal 1 binary64))
(*.f64 (sqrt.f64 x) (sqrt.f64 #s(literal -1 binary64)))
(*.f64 #s(literal 1 binary64) (sqrt.f64 x))
(*.f64 (pow.f64 x #s(literal 1/6 binary64)) (cbrt.f64 x))
(*.f64 (cbrt.f64 x) (pow.f64 x #s(literal 1/6 binary64)))
(*.f64 (cbrt.f64 x) (pow.f64 (neg.f64 (cbrt.f64 x)) #s(literal 1/2 binary64)))
(*.f64 (cbrt.f64 x) (sqrt.f64 (neg.f64 (cbrt.f64 x))))
(*.f64 (pow.f64 x #s(literal 1/4 binary64)) (pow.f64 x #s(literal 1/4 binary64)))
(*.f64 (pow.f64 x #s(literal 1/4 binary64)) (pow.f64 (neg.f64 (sqrt.f64 x)) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 x #s(literal 1/4 binary64)) (sqrt.f64 (neg.f64 (sqrt.f64 x))))
(*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 x))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 x)) #s(literal 2 binary64)) (pow.f64 (pow.f64 x #s(literal 5/6 binary64)) #s(literal 1/3 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 x)) #s(literal 2 binary64)) (cbrt.f64 (pow.f64 x #s(literal 5/6 binary64))))
(*.f64 (cbrt.f64 #s(literal -1 binary64)) (sqrt.f64 x))
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 x) #s(literal 4 binary64))) (cbrt.f64 (pow.f64 x #s(literal 1/6 binary64))))
(*.f64 (pow.f64 x #s(literal 1/8 binary64)) (pow.f64 (pow.f64 x #s(literal 3/4 binary64)) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 x #s(literal 1/8 binary64)) (sqrt.f64 (pow.f64 x #s(literal 3/4 binary64))))
(*.f64 (pow.f64 (neg.f64 (sqrt.f64 x)) #s(literal 1/2 binary64)) (pow.f64 x #s(literal 1/4 binary64)))
(*.f64 (pow.f64 (pow.f64 x #s(literal 3/4 binary64)) #s(literal 1/2 binary64)) (pow.f64 x #s(literal 1/8 binary64)))
(*.f64 (pow.f64 (neg.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) #s(literal 1/2 binary64)) (pow.f64 x #s(literal 1/6 binary64)))
(*.f64 (pow.f64 (pow.f64 x #s(literal 5/6 binary64)) #s(literal 1/2 binary64)) (pow.f64 (sqrt.f64 x) #s(literal 1/6 binary64)))
(*.f64 (pow.f64 (*.f64 #s(literal -1 binary64) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) #s(literal 1/2 binary64)) (pow.f64 x #s(literal 1/6 binary64)))
(*.f64 (pow.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 x)) #s(literal 1/2 binary64)) (pow.f64 x #s(literal 1/4 binary64)))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/3 binary64)) (sqrt.f64 x))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 x) #s(literal 4 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (pow.f64 x #s(literal 1/6 binary64))))
(*.f64 (pow.f64 (pow.f64 x #s(literal 5/4 binary64)) #s(literal 1/3 binary64)) (pow.f64 (sqrt.f64 x) #s(literal 1/6 binary64)))
(*.f64 (cbrt.f64 (pow.f64 x #s(literal 5/4 binary64))) (pow.f64 (sqrt.f64 x) #s(literal 1/6 binary64)))
(*.f64 (sqrt.f64 (pow.f64 x #s(literal 5/6 binary64))) (pow.f64 (sqrt.f64 x) #s(literal 1/6 binary64)))
(*.f64 (sqrt.f64 (pow.f64 x #s(literal 3/4 binary64))) (pow.f64 x #s(literal 1/8 binary64)))
(*.f64 (sqrt.f64 (neg.f64 (sqrt.f64 x))) (pow.f64 x #s(literal 1/4 binary64)))
(*.f64 (sqrt.f64 (neg.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)))) (pow.f64 x #s(literal 1/6 binary64)))
(*.f64 (sqrt.f64 (*.f64 #s(literal -1 binary64) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)))) (pow.f64 x #s(literal 1/6 binary64)))
(*.f64 (sqrt.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 x))) (pow.f64 x #s(literal 1/4 binary64)))
(*.f64 (fabs.f64 (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 x))
(/.f64 (sqrt.f64 (-.f64 #s(literal 0 binary64) (pow.f64 x #s(literal 3 binary64)))) (sqrt.f64 (+.f64 #s(literal 0 binary64) (fma.f64 x x (*.f64 #s(literal 0 binary64) x)))))
(/.f64 (sqrt.f64 (-.f64 #s(literal 0 binary64) (pow.f64 x #s(literal 2 binary64)))) (sqrt.f64 x))
(/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 3 binary64)) #s(literal 1 binary64)) (+.f64 (*.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 x)) (+.f64 #s(literal 1 binary64) (sqrt.f64 x))) (+.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 1 binary64)))))
(pow.f64 x #s(literal 1/2 binary64))
(pow.f64 (sqrt.f64 x) #s(literal 1 binary64))
(pow.f64 (pow.f64 x #s(literal 1/6 binary64)) #s(literal 3 binary64))
(pow.f64 (cbrt.f64 x) #s(literal 3/2 binary64))
(pow.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 1/3 binary64))
(pow.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/4 binary64))
(pow.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/6 binary64))
(pow.f64 (pow.f64 x #s(literal 1/4 binary64)) #s(literal 2 binary64))
(pow.f64 (E.f64) (log.f64 (sqrt.f64 x)))
(pow.f64 (exp.f64 #s(literal 1/2 binary64)) (log.f64 x))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (sqrt.f64 x))) #s(literal 2 binary64))) (cbrt.f64 (log.f64 (sqrt.f64 x))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (sqrt.f64 x)))) (sqrt.f64 (log.f64 (sqrt.f64 x))))
(fabs.f64 (sqrt.f64 x))
(fabs.f64 (neg.f64 (sqrt.f64 x)))
(fabs.f64 (-.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (sqrt.f64 x))))
(log.f64 (exp.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 (pow.f64 x #s(literal 1/6 binary64))) #s(literal 3 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 3/2 binary64) (log.f64 x)) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (log.f64 x)) #s(literal 2 binary64)))
(+.f64 #s(literal 0 binary64) x)
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 x)) #s(literal 2 binary64))) (log.f64 (cbrt.f64 (exp.f64 x))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 x))) (log.f64 (sqrt.f64 (exp.f64 x))))
(-.f64 #s(literal 0 binary64) x)
(-.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 0 binary64) (+.f64 #s(literal 0 binary64) (fma.f64 x x (*.f64 #s(literal 0 binary64) x)))) (/.f64 (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) x) (/.f64 (pow.f64 x #s(literal 2 binary64)) x))
(*.f64 x #s(literal 1 binary64))
(*.f64 x #s(literal -1 binary64))
(*.f64 x (log.f64 (exp.f64 #s(literal -1 binary64))))
(*.f64 (sqrt.f64 x) (sqrt.f64 x))
(*.f64 (sqrt.f64 x) (neg.f64 (sqrt.f64 x)))
(*.f64 #s(literal 1 binary64) x)
(*.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)))
(*.f64 (cbrt.f64 x) (pow.f64 (pow.f64 (cbrt.f64 x) #s(literal 4 binary64)) #s(literal 1/2 binary64)))
(*.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)) (pow.f64 x #s(literal 3/4 binary64)))
(*.f64 #s(literal -1 binary64) x)
(*.f64 (sqrt.f64 #s(literal -1 binary64)) x)
(*.f64 (pow.f64 x #s(literal 3/4 binary64)) (pow.f64 x #s(literal 1/4 binary64)))
(*.f64 (neg.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 x))
(*.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x))
(*.f64 (pow.f64 x #s(literal 5/6 binary64)) (pow.f64 x #s(literal 1/6 binary64)))
(*.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 (pow.f64 #s(literal 1 binary64) #s(literal 1/3 binary64)) x)
(*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) x)
(*.f64 (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64)) x)
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 x) #s(literal 4 binary64)) #s(literal 1/2 binary64)) (cbrt.f64 x))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 x) #s(literal 5 binary64)) #s(literal 1/2 binary64)) (pow.f64 x #s(literal 1/6 binary64)))
(*.f64 (pow.f64 (pow.f64 (pow.f64 (cbrt.f64 x) #s(literal 4 binary64)) #s(literal 2 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (cbrt.f64 x)))
(*.f64 (pow.f64 (pow.f64 x #s(literal 5/2 binary64)) #s(literal 1/3 binary64)) (pow.f64 x #s(literal 1/6 binary64)))
(*.f64 (pow.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 x))
(*.f64 (exp.f64 (log.f64 #s(literal -1 binary64))) x)
(*.f64 (cbrt.f64 (pow.f64 (pow.f64 (cbrt.f64 x) #s(literal 4 binary64)) #s(literal 2 binary64))) (cbrt.f64 (cbrt.f64 x)))
(*.f64 (cbrt.f64 (pow.f64 x #s(literal 5/2 binary64))) (pow.f64 x #s(literal 1/6 binary64)))
(*.f64 (cbrt.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1 binary64))) (cbrt.f64 x))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 x) #s(literal 5 binary64))) (pow.f64 x #s(literal 1/6 binary64)))
(/.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)
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (+.f64 #s(literal 0 binary64) (fma.f64 x x (*.f64 #s(literal 0 binary64) x)))))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (pow.f64 x #s(literal 2 binary64)))) x)
(/.f64 (+.f64 #s(literal 0 binary64) (pow.f64 x #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (-.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 #s(literal 0 binary64) x))))
(/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 3 binary64)) #s(literal 1 binary64)) (+.f64 (*.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)) (+.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)))))
(pow.f64 x #s(literal 1 binary64))
(pow.f64 (sqrt.f64 x) #s(literal 2 binary64))
(pow.f64 (pow.f64 x #s(literal 1/6 binary64)) #s(literal 6 binary64))
(pow.f64 (cbrt.f64 x) #s(literal 3 binary64))
(pow.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 2/3 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 (pow.f64 x #s(literal 1/4 binary64)) #s(literal 4 binary64))
(pow.f64 (E.f64) (log.f64 x))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 x)) #s(literal 2 binary64))) (cbrt.f64 (log.f64 x)))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 x))) (sqrt.f64 (log.f64 x)))
(sqrt.f64 (pow.f64 x #s(literal 2 binary64)))
(fabs.f64 x)
(log.f64 (exp.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 (sqrt.f64 x)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 x)) #s(literal 3 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 2 binary64) (log.f64 x)) #s(literal 1/2 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 3 binary64) (log.f64 x)) #s(literal 1/3 binary64)))

simplify120.0ms (2.3%)

Algorithm
1×egg-herbie
Rules
873×fma-neg
678×fma-define
389×distribute-lft-in
369×prod-exp
320×distribute-rgt-in
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
04084262
16893673
215803584
360203584
Stop Event
1×node limit
Counts
205 → 217
Calls
Call 1
Inputs
(*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 y) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 y) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 y) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 y) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))
(*.f64 (sqrt.f64 x) (sqrt.f64 #s(literal -1 binary64)))
(*.f64 (sqrt.f64 x) (sqrt.f64 #s(literal -1 binary64)))
(*.f64 (sqrt.f64 x) (sqrt.f64 #s(literal -1 binary64)))
(*.f64 (sqrt.f64 x) (sqrt.f64 #s(literal -1 binary64)))
(*.f64 (sqrt.f64 x) (sqrt.f64 #s(literal -1 binary64)))
(*.f64 (sqrt.f64 x) (sqrt.f64 #s(literal -1 binary64)))
(*.f64 (sqrt.f64 x) (sqrt.f64 #s(literal -1 binary64)))
(*.f64 (sqrt.f64 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 (sqrt.f64 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 (sqrt.f64 x) (sqrt.f64 #s(literal -1 binary64))))
(*.f64 #s(literal -1 binary64) x)
(*.f64 #s(literal -1 binary64) x)
(*.f64 #s(literal -1 binary64) x)
(*.f64 #s(literal -1 binary64) x)
(*.f64 #s(literal -1 binary64) x)
(*.f64 #s(literal -1 binary64) x)
(*.f64 #s(literal -1 binary64) x)
(*.f64 #s(literal -1 binary64) x)
(*.f64 #s(literal -1 binary64) x)
(*.f64 #s(literal -1 binary64) x)
(*.f64 #s(literal -1 binary64) x)
(*.f64 #s(literal -1 binary64) x)
(+.f64 #s(literal 0 binary64) (sqrt.f64 y))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (sqrt.f64 y))) #s(literal 2 binary64))) (log.f64 (cbrt.f64 (exp.f64 (sqrt.f64 y)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 y)))) (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 y)))))
(-.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 y)) #s(literal 1 binary64))
(*.f64 (sqrt.f64 y) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (sqrt.f64 y))
(*.f64 (pow.f64 y #s(literal 1/6 binary64)) (cbrt.f64 y))
(*.f64 (cbrt.f64 y) (pow.f64 y #s(literal 1/6 binary64)))
(*.f64 (pow.f64 y #s(literal 1/4 binary64)) (pow.f64 y #s(literal 1/4 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 y)) #s(literal 2 binary64)) (pow.f64 (pow.f64 y #s(literal 5/6 binary64)) #s(literal 1/3 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 y)) #s(literal 2 binary64)) (cbrt.f64 (pow.f64 y #s(literal 5/6 binary64))))
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 y) #s(literal 4 binary64))) (cbrt.f64 (pow.f64 y #s(literal 1/6 binary64))))
(*.f64 (pow.f64 y #s(literal 1/8 binary64)) (pow.f64 (pow.f64 y #s(literal 3/4 binary64)) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 y #s(literal 1/8 binary64)) (sqrt.f64 (pow.f64 y #s(literal 3/4 binary64))))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/3 binary64)) (sqrt.f64 y))
(*.f64 (pow.f64 (pow.f64 y #s(literal 3/4 binary64)) #s(literal 1/2 binary64)) (pow.f64 y #s(literal 1/8 binary64)))
(*.f64 (pow.f64 (pow.f64 y #s(literal 5/6 binary64)) #s(literal 1/2 binary64)) (pow.f64 (sqrt.f64 y) #s(literal 1/6 binary64)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 y) #s(literal 4 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (pow.f64 y #s(literal 1/6 binary64))))
(*.f64 (pow.f64 (pow.f64 y #s(literal 5/4 binary64)) #s(literal 1/3 binary64)) (pow.f64 (sqrt.f64 y) #s(literal 1/6 binary64)))
(*.f64 (cbrt.f64 (pow.f64 y #s(literal 5/4 binary64))) (pow.f64 (sqrt.f64 y) #s(literal 1/6 binary64)))
(*.f64 (sqrt.f64 (pow.f64 y #s(literal 5/6 binary64))) (pow.f64 (sqrt.f64 y) #s(literal 1/6 binary64)))
(*.f64 (sqrt.f64 (pow.f64 y #s(literal 3/4 binary64))) (pow.f64 y #s(literal 1/8 binary64)))
(/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 y)) #s(literal 3 binary64)) #s(literal 1 binary64)) (+.f64 (*.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 y)) (+.f64 #s(literal 1 binary64) (sqrt.f64 y))) (+.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 y)) #s(literal 1 binary64)))))
(pow.f64 y #s(literal 1/2 binary64))
(pow.f64 (sqrt.f64 y) #s(literal 1 binary64))
(pow.f64 (pow.f64 y #s(literal 1/6 binary64)) #s(literal 3 binary64))
(pow.f64 (cbrt.f64 y) #s(literal 3/2 binary64))
(pow.f64 (pow.f64 y #s(literal 3/2 binary64)) #s(literal 1/3 binary64))
(pow.f64 (pow.f64 y #s(literal 2 binary64)) #s(literal 1/4 binary64))
(pow.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1/6 binary64))
(pow.f64 (pow.f64 y #s(literal 1/4 binary64)) #s(literal 2 binary64))
(pow.f64 (E.f64) (log.f64 (sqrt.f64 y)))
(pow.f64 (exp.f64 #s(literal 1/2 binary64)) (log.f64 y))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (sqrt.f64 y))) #s(literal 2 binary64))) (cbrt.f64 (log.f64 (sqrt.f64 y))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (sqrt.f64 y)))) (sqrt.f64 (log.f64 (sqrt.f64 y))))
(fabs.f64 (sqrt.f64 y))
(fabs.f64 (neg.f64 (sqrt.f64 y)))
(fabs.f64 (-.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (sqrt.f64 y))))
(log.f64 (exp.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 (pow.f64 y #s(literal 1/6 binary64))) #s(literal 3 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 3/2 binary64) (log.f64 y)) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (log.f64 y)) #s(literal 2 binary64)))
(+.f64 #s(literal 0 binary64) (sqrt.f64 x))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (sqrt.f64 x))) #s(literal 2 binary64))) (log.f64 (cbrt.f64 (exp.f64 (sqrt.f64 x)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 x)))) (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 x)))))
(-.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 1 binary64))
(*.f64 (sqrt.f64 x) #s(literal 1 binary64))
(*.f64 (sqrt.f64 x) (sqrt.f64 #s(literal -1 binary64)))
(*.f64 #s(literal 1 binary64) (sqrt.f64 x))
(*.f64 (pow.f64 x #s(literal 1/6 binary64)) (cbrt.f64 x))
(*.f64 (cbrt.f64 x) (pow.f64 x #s(literal 1/6 binary64)))
(*.f64 (cbrt.f64 x) (pow.f64 (neg.f64 (cbrt.f64 x)) #s(literal 1/2 binary64)))
(*.f64 (cbrt.f64 x) (sqrt.f64 (neg.f64 (cbrt.f64 x))))
(*.f64 (pow.f64 x #s(literal 1/4 binary64)) (pow.f64 x #s(literal 1/4 binary64)))
(*.f64 (pow.f64 x #s(literal 1/4 binary64)) (pow.f64 (neg.f64 (sqrt.f64 x)) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 x #s(literal 1/4 binary64)) (sqrt.f64 (neg.f64 (sqrt.f64 x))))
(*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 x))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 x)) #s(literal 2 binary64)) (pow.f64 (pow.f64 x #s(literal 5/6 binary64)) #s(literal 1/3 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 x)) #s(literal 2 binary64)) (cbrt.f64 (pow.f64 x #s(literal 5/6 binary64))))
(*.f64 (cbrt.f64 #s(literal -1 binary64)) (sqrt.f64 x))
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 x) #s(literal 4 binary64))) (cbrt.f64 (pow.f64 x #s(literal 1/6 binary64))))
(*.f64 (pow.f64 x #s(literal 1/8 binary64)) (pow.f64 (pow.f64 x #s(literal 3/4 binary64)) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 x #s(literal 1/8 binary64)) (sqrt.f64 (pow.f64 x #s(literal 3/4 binary64))))
(*.f64 (pow.f64 (neg.f64 (sqrt.f64 x)) #s(literal 1/2 binary64)) (pow.f64 x #s(literal 1/4 binary64)))
(*.f64 (pow.f64 (pow.f64 x #s(literal 3/4 binary64)) #s(literal 1/2 binary64)) (pow.f64 x #s(literal 1/8 binary64)))
(*.f64 (pow.f64 (neg.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) #s(literal 1/2 binary64)) (pow.f64 x #s(literal 1/6 binary64)))
(*.f64 (pow.f64 (pow.f64 x #s(literal 5/6 binary64)) #s(literal 1/2 binary64)) (pow.f64 (sqrt.f64 x) #s(literal 1/6 binary64)))
(*.f64 (pow.f64 (*.f64 #s(literal -1 binary64) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) #s(literal 1/2 binary64)) (pow.f64 x #s(literal 1/6 binary64)))
(*.f64 (pow.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 x)) #s(literal 1/2 binary64)) (pow.f64 x #s(literal 1/4 binary64)))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/3 binary64)) (sqrt.f64 x))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 x) #s(literal 4 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (pow.f64 x #s(literal 1/6 binary64))))
(*.f64 (pow.f64 (pow.f64 x #s(literal 5/4 binary64)) #s(literal 1/3 binary64)) (pow.f64 (sqrt.f64 x) #s(literal 1/6 binary64)))
(*.f64 (cbrt.f64 (pow.f64 x #s(literal 5/4 binary64))) (pow.f64 (sqrt.f64 x) #s(literal 1/6 binary64)))
(*.f64 (sqrt.f64 (pow.f64 x #s(literal 5/6 binary64))) (pow.f64 (sqrt.f64 x) #s(literal 1/6 binary64)))
(*.f64 (sqrt.f64 (pow.f64 x #s(literal 3/4 binary64))) (pow.f64 x #s(literal 1/8 binary64)))
(*.f64 (sqrt.f64 (neg.f64 (sqrt.f64 x))) (pow.f64 x #s(literal 1/4 binary64)))
(*.f64 (sqrt.f64 (neg.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)))) (pow.f64 x #s(literal 1/6 binary64)))
(*.f64 (sqrt.f64 (*.f64 #s(literal -1 binary64) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)))) (pow.f64 x #s(literal 1/6 binary64)))
(*.f64 (sqrt.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 x))) (pow.f64 x #s(literal 1/4 binary64)))
(*.f64 (fabs.f64 (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 x))
(/.f64 (sqrt.f64 (-.f64 #s(literal 0 binary64) (pow.f64 x #s(literal 3 binary64)))) (sqrt.f64 (+.f64 #s(literal 0 binary64) (fma.f64 x x (*.f64 #s(literal 0 binary64) x)))))
(/.f64 (sqrt.f64 (-.f64 #s(literal 0 binary64) (pow.f64 x #s(literal 2 binary64)))) (sqrt.f64 x))
(/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 3 binary64)) #s(literal 1 binary64)) (+.f64 (*.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 x)) (+.f64 #s(literal 1 binary64) (sqrt.f64 x))) (+.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 1 binary64)))))
(pow.f64 x #s(literal 1/2 binary64))
(pow.f64 (sqrt.f64 x) #s(literal 1 binary64))
(pow.f64 (pow.f64 x #s(literal 1/6 binary64)) #s(literal 3 binary64))
(pow.f64 (cbrt.f64 x) #s(literal 3/2 binary64))
(pow.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 1/3 binary64))
(pow.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/4 binary64))
(pow.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/6 binary64))
(pow.f64 (pow.f64 x #s(literal 1/4 binary64)) #s(literal 2 binary64))
(pow.f64 (E.f64) (log.f64 (sqrt.f64 x)))
(pow.f64 (exp.f64 #s(literal 1/2 binary64)) (log.f64 x))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (sqrt.f64 x))) #s(literal 2 binary64))) (cbrt.f64 (log.f64 (sqrt.f64 x))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (sqrt.f64 x)))) (sqrt.f64 (log.f64 (sqrt.f64 x))))
(fabs.f64 (sqrt.f64 x))
(fabs.f64 (neg.f64 (sqrt.f64 x)))
(fabs.f64 (-.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (sqrt.f64 x))))
(log.f64 (exp.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 (pow.f64 x #s(literal 1/6 binary64))) #s(literal 3 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 3/2 binary64) (log.f64 x)) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (log.f64 x)) #s(literal 2 binary64)))
(+.f64 #s(literal 0 binary64) x)
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 x)) #s(literal 2 binary64))) (log.f64 (cbrt.f64 (exp.f64 x))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 x))) (log.f64 (sqrt.f64 (exp.f64 x))))
(-.f64 #s(literal 0 binary64) x)
(-.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 0 binary64) (+.f64 #s(literal 0 binary64) (fma.f64 x x (*.f64 #s(literal 0 binary64) x)))) (/.f64 (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) x) (/.f64 (pow.f64 x #s(literal 2 binary64)) x))
(*.f64 x #s(literal 1 binary64))
(*.f64 x #s(literal -1 binary64))
(*.f64 x (log.f64 (exp.f64 #s(literal -1 binary64))))
(*.f64 (sqrt.f64 x) (sqrt.f64 x))
(*.f64 (sqrt.f64 x) (neg.f64 (sqrt.f64 x)))
(*.f64 #s(literal 1 binary64) x)
(*.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)))
(*.f64 (cbrt.f64 x) (pow.f64 (pow.f64 (cbrt.f64 x) #s(literal 4 binary64)) #s(literal 1/2 binary64)))
(*.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)) (pow.f64 x #s(literal 3/4 binary64)))
(*.f64 #s(literal -1 binary64) x)
(*.f64 (sqrt.f64 #s(literal -1 binary64)) x)
(*.f64 (pow.f64 x #s(literal 3/4 binary64)) (pow.f64 x #s(literal 1/4 binary64)))
(*.f64 (neg.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 x))
(*.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x))
(*.f64 (pow.f64 x #s(literal 5/6 binary64)) (pow.f64 x #s(literal 1/6 binary64)))
(*.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 (pow.f64 #s(literal 1 binary64) #s(literal 1/3 binary64)) x)
(*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) x)
(*.f64 (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64)) x)
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 x) #s(literal 4 binary64)) #s(literal 1/2 binary64)) (cbrt.f64 x))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 x) #s(literal 5 binary64)) #s(literal 1/2 binary64)) (pow.f64 x #s(literal 1/6 binary64)))
(*.f64 (pow.f64 (pow.f64 (pow.f64 (cbrt.f64 x) #s(literal 4 binary64)) #s(literal 2 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (cbrt.f64 x)))
(*.f64 (pow.f64 (pow.f64 x #s(literal 5/2 binary64)) #s(literal 1/3 binary64)) (pow.f64 x #s(literal 1/6 binary64)))
(*.f64 (pow.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 x))
(*.f64 (exp.f64 (log.f64 #s(literal -1 binary64))) x)
(*.f64 (cbrt.f64 (pow.f64 (pow.f64 (cbrt.f64 x) #s(literal 4 binary64)) #s(literal 2 binary64))) (cbrt.f64 (cbrt.f64 x)))
(*.f64 (cbrt.f64 (pow.f64 x #s(literal 5/2 binary64))) (pow.f64 x #s(literal 1/6 binary64)))
(*.f64 (cbrt.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1 binary64))) (cbrt.f64 x))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 x) #s(literal 5 binary64))) (pow.f64 x #s(literal 1/6 binary64)))
(/.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)
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (+.f64 #s(literal 0 binary64) (fma.f64 x x (*.f64 #s(literal 0 binary64) x)))))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (pow.f64 x #s(literal 2 binary64)))) x)
(/.f64 (+.f64 #s(literal 0 binary64) (pow.f64 x #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (-.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 #s(literal 0 binary64) x))))
(/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 3 binary64)) #s(literal 1 binary64)) (+.f64 (*.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)) (+.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)))))
(pow.f64 x #s(literal 1 binary64))
(pow.f64 (sqrt.f64 x) #s(literal 2 binary64))
(pow.f64 (pow.f64 x #s(literal 1/6 binary64)) #s(literal 6 binary64))
(pow.f64 (cbrt.f64 x) #s(literal 3 binary64))
(pow.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 2/3 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 (pow.f64 x #s(literal 1/4 binary64)) #s(literal 4 binary64))
(pow.f64 (E.f64) (log.f64 x))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 x)) #s(literal 2 binary64))) (cbrt.f64 (log.f64 x)))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 x))) (sqrt.f64 (log.f64 x)))
(sqrt.f64 (pow.f64 x #s(literal 2 binary64)))
(fabs.f64 x)
(log.f64 (exp.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 (sqrt.f64 x)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 x)) #s(literal 3 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 2 binary64) (log.f64 x)) #s(literal 1/2 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 3 binary64) (log.f64 x)) #s(literal 1/3 binary64)))
Outputs
(*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 y) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))
(*.f64 (neg.f64 (sqrt.f64 y)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))
(sqrt.f64 y)
(*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 y) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))
(*.f64 (neg.f64 (sqrt.f64 y)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))
(sqrt.f64 y)
(*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 y) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))
(*.f64 (neg.f64 (sqrt.f64 y)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))
(sqrt.f64 y)
(*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 y) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))
(*.f64 (neg.f64 (sqrt.f64 y)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))
(sqrt.f64 y)
(*.f64 (sqrt.f64 x) (sqrt.f64 #s(literal -1 binary64)))
(*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 x))
(*.f64 (sqrt.f64 x) (sqrt.f64 #s(literal -1 binary64)))
(*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 x))
(*.f64 (sqrt.f64 x) (sqrt.f64 #s(literal -1 binary64)))
(*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 x))
(*.f64 (sqrt.f64 x) (sqrt.f64 #s(literal -1 binary64)))
(*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 x))
(*.f64 (sqrt.f64 x) (sqrt.f64 #s(literal -1 binary64)))
(*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 x))
(*.f64 (sqrt.f64 x) (sqrt.f64 #s(literal -1 binary64)))
(*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 x))
(*.f64 (sqrt.f64 x) (sqrt.f64 #s(literal -1 binary64)))
(*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 x))
(*.f64 (sqrt.f64 x) (sqrt.f64 #s(literal -1 binary64)))
(*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 x))
(*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 x) (sqrt.f64 #s(literal -1 binary64))))
(neg.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 x)))
(*.f64 (sqrt.f64 x) (neg.f64 (sqrt.f64 #s(literal -1 binary64))))
(*.f64 (sqrt.f64 #s(literal -1 binary64)) (neg.f64 (sqrt.f64 x)))
(*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 x) (sqrt.f64 #s(literal -1 binary64))))
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(/.f64 (+.f64 #s(literal -1 binary64) (pow.f64 (+.f64 (sqrt.f64 x) #s(literal 1 binary64)) #s(literal 3 binary64))) (fma.f64 (+.f64 (sqrt.f64 x) #s(literal 1 binary64)) (+.f64 (sqrt.f64 x) #s(literal 1 binary64)) (+.f64 #s(literal 2 binary64) (sqrt.f64 x))))
(/.f64 (+.f64 #s(literal -1 binary64) (pow.f64 (+.f64 (sqrt.f64 x) #s(literal 1 binary64)) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 (+.f64 (sqrt.f64 x) #s(literal 1 binary64)) (+.f64 #s(literal 2 binary64) (sqrt.f64 x)))))
(pow.f64 x #s(literal 1/2 binary64))
(sqrt.f64 x)
(pow.f64 (sqrt.f64 x) #s(literal 1 binary64))
(sqrt.f64 x)
(pow.f64 (pow.f64 x #s(literal 1/6 binary64)) #s(literal 3 binary64))
(*.f64 (pow.f64 x #s(literal 1/6 binary64)) (cbrt.f64 x))
(pow.f64 (cbrt.f64 x) #s(literal 3/2 binary64))
(sqrt.f64 x)
(pow.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 1/3 binary64))
(sqrt.f64 x)
(pow.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/4 binary64))
(sqrt.f64 x)
(pow.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/6 binary64))
(pow.f64 (pow.f64 x #s(literal 1/4 binary64)) #s(literal 2 binary64))
(sqrt.f64 x)
(pow.f64 (E.f64) (log.f64 (sqrt.f64 x)))
(pow.f64 (exp.f64 #s(literal 1/2 binary64)) (log.f64 x))
(sqrt.f64 x)
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (sqrt.f64 x))) #s(literal 2 binary64))) (cbrt.f64 (log.f64 (sqrt.f64 x))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (sqrt.f64 x)))) (sqrt.f64 (log.f64 (sqrt.f64 x))))
(fabs.f64 (sqrt.f64 x))
(sqrt.f64 x)
(fabs.f64 (neg.f64 (sqrt.f64 x)))
(sqrt.f64 x)
(fabs.f64 (-.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (sqrt.f64 x))))
(sqrt.f64 x)
(log.f64 (exp.f64 (sqrt.f64 x)))
(sqrt.f64 x)
(cbrt.f64 (pow.f64 x #s(literal 3/2 binary64)))
(sqrt.f64 x)
(expm1.f64 (log1p.f64 (sqrt.f64 x)))
(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 (pow.f64 x #s(literal 1/6 binary64))) #s(literal 3 binary64)))
(*.f64 (pow.f64 x #s(literal 1/6 binary64)) (cbrt.f64 x))
(pow.f64 (pow.f64 x #s(literal 1/6 binary64)) #s(literal 3 binary64))
(exp.f64 (*.f64 (*.f64 #s(literal 3/2 binary64) (log.f64 x)) #s(literal 1/3 binary64)))
(sqrt.f64 x)
(exp.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (log.f64 x)) #s(literal 2 binary64)))
(sqrt.f64 x)
(+.f64 #s(literal 0 binary64) x)
x
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 x)) #s(literal 2 binary64))) (log.f64 (cbrt.f64 (exp.f64 x))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 x))) (log.f64 (sqrt.f64 (exp.f64 x))))
(*.f64 #s(literal 2 binary64) (log.f64 (sqrt.f64 (exp.f64 x))))
(-.f64 #s(literal 0 binary64) x)
(neg.f64 x)
(-.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))
x
(-.f64 (/.f64 #s(literal 0 binary64) (+.f64 #s(literal 0 binary64) (fma.f64 x x (*.f64 #s(literal 0 binary64) x)))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 #s(literal 0 binary64) (fma.f64 x x (*.f64 #s(literal 0 binary64) x)))))
(neg.f64 x)
(-.f64 (/.f64 #s(literal 0 binary64) x) (/.f64 (pow.f64 x #s(literal 2 binary64)) x))
(neg.f64 x)
(*.f64 x #s(literal 1 binary64))
x
(*.f64 x #s(literal -1 binary64))
(neg.f64 x)
(*.f64 x (log.f64 (exp.f64 #s(literal -1 binary64))))
(neg.f64 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)
x
(*.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)))
x
(*.f64 (cbrt.f64 x) (pow.f64 (pow.f64 (cbrt.f64 x) #s(literal 4 binary64)) #s(literal 1/2 binary64)))
(*.f64 (cbrt.f64 x) (sqrt.f64 (pow.f64 (cbrt.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)) (pow.f64 x #s(literal 3/4 binary64)))
(*.f64 #s(literal -1 binary64) x)
(neg.f64 x)
(*.f64 (sqrt.f64 #s(literal -1 binary64)) x)
(*.f64 (pow.f64 x #s(literal 3/4 binary64)) (pow.f64 x #s(literal 1/4 binary64)))
(*.f64 (pow.f64 x #s(literal 1/4 binary64)) (pow.f64 x #s(literal 3/4 binary64)))
(*.f64 (neg.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 x))
(neg.f64 x)
(*.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x))
(neg.f64 x)
(*.f64 (pow.f64 x #s(literal 5/6 binary64)) (pow.f64 x #s(literal 1/6 binary64)))
(*.f64 (pow.f64 x #s(literal 1/6 binary64)) (pow.f64 x #s(literal 5/6 binary64)))
(*.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 (pow.f64 #s(literal 1 binary64) #s(literal 1/3 binary64)) x)
x
(*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) x)
(neg.f64 x)
(*.f64 (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64)) x)
(neg.f64 x)
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 x) #s(literal 4 binary64)) #s(literal 1/2 binary64)) (cbrt.f64 x))
(*.f64 (cbrt.f64 x) (sqrt.f64 (pow.f64 (cbrt.f64 x) #s(literal 4 binary64))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 x) #s(literal 5 binary64)) #s(literal 1/2 binary64)) (pow.f64 x #s(literal 1/6 binary64)))
(*.f64 (pow.f64 x #s(literal 1/6 binary64)) (sqrt.f64 (pow.f64 (cbrt.f64 x) #s(literal 5 binary64))))
(*.f64 (pow.f64 (pow.f64 (pow.f64 (cbrt.f64 x) #s(literal 4 binary64)) #s(literal 2 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (cbrt.f64 x)))
(*.f64 (cbrt.f64 (cbrt.f64 x)) (cbrt.f64 (pow.f64 (pow.f64 (cbrt.f64 x) #s(literal 4 binary64)) #s(literal 2 binary64))))
(*.f64 (cbrt.f64 (cbrt.f64 x)) (cbrt.f64 (pow.f64 (cbrt.f64 x) #s(literal 8 binary64))))
(*.f64 (pow.f64 (pow.f64 x #s(literal 5/2 binary64)) #s(literal 1/3 binary64)) (pow.f64 x #s(literal 1/6 binary64)))
(*.f64 (pow.f64 x #s(literal 1/6 binary64)) (cbrt.f64 (pow.f64 x #s(literal 5/2 binary64))))
(*.f64 (pow.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 x))
(*.f64 (cbrt.f64 x) (cbrt.f64 (*.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 2 binary64)))))
(*.f64 (cbrt.f64 x) (cbrt.f64 (neg.f64 (pow.f64 x #s(literal 2 binary64)))))
(*.f64 (exp.f64 (log.f64 #s(literal -1 binary64))) x)
(neg.f64 x)
(*.f64 (cbrt.f64 (pow.f64 (pow.f64 (cbrt.f64 x) #s(literal 4 binary64)) #s(literal 2 binary64))) (cbrt.f64 (cbrt.f64 x)))
(*.f64 (cbrt.f64 (cbrt.f64 x)) (cbrt.f64 (pow.f64 (pow.f64 (cbrt.f64 x) #s(literal 4 binary64)) #s(literal 2 binary64))))
(*.f64 (cbrt.f64 (cbrt.f64 x)) (cbrt.f64 (pow.f64 (cbrt.f64 x) #s(literal 8 binary64))))
(*.f64 (cbrt.f64 (pow.f64 x #s(literal 5/2 binary64))) (pow.f64 x #s(literal 1/6 binary64)))
(*.f64 (pow.f64 x #s(literal 1/6 binary64)) (cbrt.f64 (pow.f64 x #s(literal 5/2 binary64))))
(*.f64 (cbrt.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1 binary64))) (cbrt.f64 x))
(*.f64 (cbrt.f64 x) (cbrt.f64 (*.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 2 binary64)))))
(*.f64 (cbrt.f64 x) (cbrt.f64 (neg.f64 (pow.f64 x #s(literal 2 binary64)))))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 x) #s(literal 5 binary64))) (pow.f64 x #s(literal 1/6 binary64)))
(*.f64 (pow.f64 x #s(literal 1/6 binary64)) (sqrt.f64 (pow.f64 (cbrt.f64 x) #s(literal 5 binary64))))
(/.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))))
(neg.f64 x)
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 x #s(literal 2 binary64))) x)
(neg.f64 x)
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (+.f64 #s(literal 0 binary64) (fma.f64 x x (*.f64 #s(literal 0 binary64) x)))))
(neg.f64 x)
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (pow.f64 x #s(literal 2 binary64)))) x)
x
(/.f64 (+.f64 #s(literal 0 binary64) (pow.f64 x #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (-.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 #s(literal 0 binary64) x))))
x
(/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 3 binary64)) #s(literal 1 binary64)) (+.f64 (*.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)) (+.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)))))
(/.f64 (+.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 3 binary64)) #s(literal -1 binary64)) (fma.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64)))))
(/.f64 (+.f64 #s(literal -1 binary64) (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 3 binary64))) (fma.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64)) (+.f64 #s(literal 2 binary64) x)))
(/.f64 (+.f64 #s(literal -1 binary64) (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 #s(literal 2 binary64) x))))
(pow.f64 x #s(literal 1 binary64))
x
(pow.f64 (sqrt.f64 x) #s(literal 2 binary64))
x
(pow.f64 (pow.f64 x #s(literal 1/6 binary64)) #s(literal 6 binary64))
(pow.f64 (cbrt.f64 x) #s(literal 3 binary64))
x
(pow.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 2/3 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 (pow.f64 x #s(literal 1/4 binary64)) #s(literal 4 binary64))
x
(pow.f64 (E.f64) (log.f64 x))
x
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 x)) #s(literal 2 binary64))) (cbrt.f64 (log.f64 x)))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 x))) (sqrt.f64 (log.f64 x)))
(sqrt.f64 (pow.f64 x #s(literal 2 binary64)))
x
(fabs.f64 x)
x
(log.f64 (exp.f64 x))
x
(cbrt.f64 (pow.f64 x #s(literal 3 binary64)))
x
(expm1.f64 (log1p.f64 x))
x
(log1p.f64 (expm1.f64 x))
x
(exp.f64 (log.f64 x))
x
(exp.f64 (*.f64 (log.f64 (sqrt.f64 x)) #s(literal 2 binary64)))
x
(exp.f64 (*.f64 (log.f64 (cbrt.f64 x)) #s(literal 3 binary64)))
x
(exp.f64 (*.f64 (*.f64 #s(literal 2 binary64) (log.f64 x)) #s(literal 1/2 binary64)))
x
(exp.f64 (*.f64 (*.f64 #s(literal 3 binary64) (log.f64 x)) #s(literal 1/3 binary64)))
x

eval20.0ms (0.4%)

Compiler

Compiled 1785 to 561 computations (68.6% saved)

prune99.0ms (1.9%)

Pruning

6 alts after pruning (0 fresh and 6 done)

PrunedKeptTotal
New2170217
Fresh000
Picked022
Done044
Total2176223
Accuracy
100.0%
Counts
223 → 6
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓99.2%
(pow.f64 (pow.f64 (-.f64 y x) #s(literal 1/4 binary64)) #s(literal 2 binary64))
✓100.0%
(sqrt.f64 (-.f64 y x))
✓53.2%
(sqrt.f64 (neg.f64 x))
✓37.2%
(sqrt.f64 (cbrt.f64 (pow.f64 (-.f64 y x) #s(literal 3 binary64))))
✓48.0%
(sqrt.f64 y)
✓66.1%
(cbrt.f64 (pow.f64 (-.f64 y x) #s(literal 3/2 binary64)))
Compiler

Compiled 82 to 54 computations (34.1% saved)

regimes18.0ms (0.3%)

Counts
8 → 1
Calls
Call 1
Inputs
(sqrt.f64 y)
(sqrt.f64 (neg.f64 x))
(sqrt.f64 (-.f64 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 (cbrt.f64 (pow.f64 (-.f64 y x) #s(literal 3 binary64))))
Outputs
(sqrt.f64 (-.f64 y x))
Calls

5 calls:

5.0ms
(fabs.f64 (-.f64 x y))
3.0ms
(-.f64 x y)
3.0ms
y
3.0ms
(sqrt.f64 (fabs.f64 (-.f64 x y)))
3.0ms
x
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)

regimes5.0ms (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:

3.0ms
x
2.0ms
y
Results
AccuracySegmentsBranch
87.7%2x
85.1%2y
Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes3.0ms (0.1%)

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

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

2 calls:

1.0ms
x
1.0ms
y
Results
AccuracySegmentsBranch
48.0%1y
48.0%1x
Compiler

Compiled 6 to 4 computations (33.3% saved)

bsearch12.0ms (0.2%)

Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
11.0ms
-1.3503368973810288e-124
-4.889904595896222e-132
Results
7.0ms144×0valid
Compiler

Compiled 111 to 90 computations (18.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 3.0ms
ival-sub: 1.0ms (34.2% of total)
ival-fabs: 1.0ms (34.2% of total)
ival-sqrt: 1.0ms (34.2% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

simplify4.0ms (0.1%)

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 -6430603855783981/47634102635436893179040485073748265163400240214004076398607741693502376385799646303105256699577209032590132615988260237052123652332890095616 binary64)) (sqrt.f64 (neg.f64 x)) (sqrt.f64 y))
(sqrt.f64 y)
Outputs
(sqrt.f64 (-.f64 y x))
(if (<=.f64 x #s(literal -6430603855783981/47634102635436893179040485073748265163400240214004076398607741693502376385799646303105256699577209032590132615988260237052123652332890095616 binary64)) (sqrt.f64 (neg.f64 x)) (sqrt.f64 y))
(sqrt.f64 y)

soundness1.1s (20.5%)

Rules
818×times-frac
647×distribute-lft-in
645×distribute-rgt-in
566×prod-diff
518×log1p-expm1-u
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
04668589946389
19288589945227
222528589944963
374168589944939
01155
112043
2162543
0128625769833851
1352525769832767
024171
143155
285155
3172155
4242155
5273155
6279155
Stop Event
1×done
1×saturated
1×node limit
1×node limit
1×node limit
Compiler

Compiled 305 to 111 computations (63.6% saved)

preprocess78.0ms (1.5%)

Compiler

Compiled 72 to 46 computations (36.1% saved)

end0.0ms (0%)

Profiling

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