Physics.ForceLayout:coulombForce from force-layout-0.4.0.2

Time bar (total: 3.9s)

analyze14.0ms (0.4%)

Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%99.9%0.1%0%0%0%0
0%0%99.9%0.1%0%0%0%1
0%0%99.9%0.1%0%0%0%2
50%50%50%0.1%0%0%0%3
50%50%50%0.1%0%0%0%4
75%74.9%25%0.1%0%0%0%5
75%74.9%25%0.1%0%0%0%6
87.5%87.4%12.5%0.1%0%0%0%7
87.5%87.4%12.5%0.1%0%0%0%8
93.8%93.7%6.2%0.1%0%0%0%9
93.8%93.7%6.2%0.1%0%0%0%10
96.9%96.8%3.1%0.1%0%0%0%11
96.9%96.8%3.1%0.1%0%0%0%12
Compiler

Compiled 8 to 5 computations (37.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 5.0ms
ival-mult: 4.0ms (78.8% of total)
ival-div: 1.0ms (19.7% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

sample710.0ms (18.4%)

Results
485.0ms8256×0valid
Precisions
Click to see histograms. Total time spent on operations: 241.0ms
ival-div: 118.0ms (49% of total)
ival-mult: 111.0ms (46.1% of total)
const: 8.0ms (3.3% of total)
backward-pass: 3.0ms (1.2% of total)
Bogosity

preprocess118.0ms (3%)

Algorithm
egg-herbie
Rules
499×fma-define
444×times-frac
134×fma-neg
99×associate-*r*
99×associate-*l*
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
019162
147162
2112162
3334162
4870162
51566162
61997162
72143162
82173162
92217162
Stop Event
saturated
Calls
Call 1
Inputs
(/.f64 x (*.f64 y y))
(/.f64 x (*.f64 y y))
(/.f64 (neg.f64 x) (*.f64 y y))
(/.f64 x (*.f64 (neg.f64 y) (neg.f64 y)))
(neg.f64 (/.f64 (neg.f64 x) (*.f64 y y)))
(neg.f64 (/.f64 x (*.f64 (neg.f64 y) (neg.f64 y))))
(/.f64 y (*.f64 x x))
Outputs
(/.f64 x (*.f64 y y))
(/.f64 x (*.f64 y y))
(/.f64 (neg.f64 x) (*.f64 y y))
(neg.f64 (/.f64 x (*.f64 y y)))
(/.f64 x (*.f64 (neg.f64 y) (neg.f64 y)))
(/.f64 x (*.f64 y y))
(neg.f64 (/.f64 (neg.f64 x) (*.f64 y y)))
(/.f64 x (*.f64 y y))
(neg.f64 (/.f64 x (*.f64 (neg.f64 y) (neg.f64 y))))
(neg.f64 (/.f64 x (*.f64 y y)))
(/.f64 (neg.f64 x) (*.f64 y y))
(/.f64 y (*.f64 x x))
Symmetry

(abs y)

(negabs x)

explain43.0ms (1.1%)

FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
430-2(2.1636570803936683e-198 4.933121775189239e-162)(/.f64 x (*.f64 y y))
00-0-x
00-0-(*.f64 y y)
00-0-y
Results
29.0ms512×0valid
Compiler

Compiled 33 to 14 computations (57.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 9.0ms
ival-mult: 5.0ms (53.4% of total)
ival-div: 4.0ms (42.7% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

eval0.0ms (0%)

Compiler

Compiled 2 to 2 computations (0% saved)

prune1.0ms (0%)

Alt Table
Click to see full alt table
StatusAccuracyProgram
85.0%
(/.f64 x (*.f64 y y))
Compiler

Compiled 7 to 4 computations (42.9% saved)

simplify6.0ms (0.1%)

Algorithm
egg-herbie
Localize:

Found 2 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 y y)
cost-diff0
(/.f64 x (*.f64 y y))
Rules
associate-/r*
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0943
11143
Stop Event
saturated
Calls
Call 1
Inputs
(/.f64 x (*.f64 y y))
x
(*.f64 y y)
y
Outputs
(/.f64 x (*.f64 y y))
x
(*.f64 y y)
y

localize20.0ms (0.5%)

Localize:

Found 2 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(*.f64 y y)
accuracy85.0%
(/.f64 x (*.f64 y y))
Results
15.0ms256×0valid
Compiler

Compiled 13 to 5 computations (61.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 5.0ms
ival-mult: 3.0ms (63.9% of total)
ival-div: 2.0ms (42.6% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

series5.0ms (0.1%)

Counts
2 → 36
Calls
Call 1
Inputs
#<alt (/.f64 x (*.f64 y y))>
#<alt (*.f64 y y)>
Outputs
#<alt (/.f64 x (pow.f64 y #s(literal 2 binary64)))>
#<alt (/.f64 x (pow.f64 y #s(literal 2 binary64)))>
#<alt (/.f64 x (pow.f64 y #s(literal 2 binary64)))>
#<alt (/.f64 x (pow.f64 y #s(literal 2 binary64)))>
#<alt (/.f64 x (pow.f64 y #s(literal 2 binary64)))>
#<alt (/.f64 x (pow.f64 y #s(literal 2 binary64)))>
#<alt (/.f64 x (pow.f64 y #s(literal 2 binary64)))>
#<alt (/.f64 x (pow.f64 y #s(literal 2 binary64)))>
#<alt (/.f64 x (pow.f64 y #s(literal 2 binary64)))>
#<alt (/.f64 x (pow.f64 y #s(literal 2 binary64)))>
#<alt (/.f64 x (pow.f64 y #s(literal 2 binary64)))>
#<alt (/.f64 x (pow.f64 y #s(literal 2 binary64)))>
#<alt (/.f64 x (pow.f64 y #s(literal 2 binary64)))>
#<alt (/.f64 x (pow.f64 y #s(literal 2 binary64)))>
#<alt (/.f64 x (pow.f64 y #s(literal 2 binary64)))>
#<alt (/.f64 x (pow.f64 y #s(literal 2 binary64)))>
#<alt (/.f64 x (pow.f64 y #s(literal 2 binary64)))>
#<alt (/.f64 x (pow.f64 y #s(literal 2 binary64)))>
#<alt (/.f64 x (pow.f64 y #s(literal 2 binary64)))>
#<alt (/.f64 x (pow.f64 y #s(literal 2 binary64)))>
#<alt (/.f64 x (pow.f64 y #s(literal 2 binary64)))>
#<alt (/.f64 x (pow.f64 y #s(literal 2 binary64)))>
#<alt (/.f64 x (pow.f64 y #s(literal 2 binary64)))>
#<alt (/.f64 x (pow.f64 y #s(literal 2 binary64)))>
#<alt (pow.f64 y #s(literal 2 binary64))>
#<alt (pow.f64 y #s(literal 2 binary64))>
#<alt (pow.f64 y #s(literal 2 binary64))>
#<alt (pow.f64 y #s(literal 2 binary64))>
#<alt (pow.f64 y #s(literal 2 binary64))>
#<alt (pow.f64 y #s(literal 2 binary64))>
#<alt (pow.f64 y #s(literal 2 binary64))>
#<alt (pow.f64 y #s(literal 2 binary64))>
#<alt (pow.f64 y #s(literal 2 binary64))>
#<alt (pow.f64 y #s(literal 2 binary64))>
#<alt (pow.f64 y #s(literal 2 binary64))>
#<alt (pow.f64 y #s(literal 2 binary64))>
Calls

9 calls:

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

rewrite317.0ms (8.2%)

Algorithm
batch-egg-rewrite
Rules
436×log1p-expm1-u
436×expm1-log1p-u
419×add-exp-log
408×unpow-prod-down
405×add-log-exp
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0929
19329
2121429
Stop Event
node limit
Counts
2 → 95
Calls
Call 1
Inputs
(/.f64 x (*.f64 y y))
(*.f64 y y)
Outputs
(+.f64 #s(literal 0 binary64) (*.f64 x (pow.f64 y #s(literal -2 binary64))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (pow.f64 y #s(literal -2 binary64)))) #s(literal 2 binary64))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (pow.f64 y #s(literal -2 binary64))))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (pow.f64 y #s(literal -2 binary64))))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (pow.f64 y #s(literal -2 binary64))))))
(-.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (pow.f64 y #s(literal -2 binary64)))) #s(literal 1 binary64))
(*.f64 x (pow.f64 y #s(literal -2 binary64)))
(*.f64 (*.f64 x (pow.f64 y #s(literal -2 binary64))) #s(literal 1 binary64))
(*.f64 (*.f64 x (pow.f64 y #s(literal -2 binary64))) (log.f64 (E.f64)))
(*.f64 #s(literal 1 binary64) (*.f64 x (pow.f64 y #s(literal -2 binary64))))
(*.f64 (cbrt.f64 (*.f64 x (pow.f64 y #s(literal -2 binary64)))) (cbrt.f64 (pow.f64 (/.f64 (sqrt.f64 x) y) #s(literal 4 binary64))))
(*.f64 (cbrt.f64 (pow.f64 (/.f64 (sqrt.f64 x) y) #s(literal 4 binary64))) (cbrt.f64 (*.f64 x (pow.f64 y #s(literal -2 binary64)))))
(*.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (/.f64 (cbrt.f64 x) (pow.f64 y #s(literal 2 binary64))))
(*.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (*.f64 (cbrt.f64 x) (pow.f64 y #s(literal -2 binary64))))
(*.f64 (/.f64 (sqrt.f64 x) y) (/.f64 (sqrt.f64 x) y))
(*.f64 (sqrt.f64 x) (/.f64 (sqrt.f64 x) (pow.f64 y #s(literal 2 binary64))))
(*.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (pow.f64 y #s(literal -2 binary64))))
(*.f64 (neg.f64 x) (/.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 y #s(literal 2 binary64)))))
(*.f64 (pow.f64 y #s(literal -2 binary64)) x)
(*.f64 (pow.f64 y #s(literal -2 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)))
(*.f64 (/.f64 x y) (/.f64 #s(literal 1 binary64) y))
(*.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 x y))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) #s(literal -2 binary64)) (/.f64 x (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) #s(literal -2 binary64)) (pow.f64 (/.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) x) #s(literal -1 binary64)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) y) (/.f64 (cbrt.f64 x) y))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (cbrt.f64 x) (pow.f64 y #s(literal 2 binary64))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 y) #s(literal 4 binary64))) (cbrt.f64 (*.f64 x (pow.f64 y #s(literal -2 binary64)))))
(*.f64 (/.f64 (sqrt.f64 x) #s(literal 1 binary64)) (/.f64 (sqrt.f64 x) (pow.f64 y #s(literal 2 binary64))))
(*.f64 (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 y) #s(literal 4 binary64))) (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/3 binary64)) (*.f64 x (pow.f64 y #s(literal -2 binary64))))
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (*.f64 x (pow.f64 y #s(literal -2 binary64))))) #s(literal 3 binary64)) (pow.f64 (sqrt.f64 (cbrt.f64 (*.f64 x (pow.f64 y #s(literal -2 binary64))))) #s(literal 3 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (/.f64 (sqrt.f64 x) y) #s(literal 6 binary64))) #s(literal 1/3 binary64)) (pow.f64 (sqrt.f64 (pow.f64 (/.f64 (sqrt.f64 x) y) #s(literal 6 binary64))) #s(literal 1/3 binary64)))
(*.f64 (pow.f64 (*.f64 (pow.f64 (/.f64 (sqrt.f64 x) y) #s(literal 4 binary64)) x) #s(literal 1/3 binary64)) (cbrt.f64 (pow.f64 y #s(literal -2 binary64))))
(*.f64 (pow.f64 (pow.f64 (*.f64 (*.f64 x (pow.f64 y #s(literal -2 binary64))) (cbrt.f64 (*.f64 x (pow.f64 y #s(literal -2 binary64))))) #s(literal 2 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (cbrt.f64 (*.f64 x (pow.f64 y #s(literal -2 binary64))))))
(*.f64 (pow.f64 (pow.f64 (*.f64 x (pow.f64 y #s(literal -2 binary64))) #s(literal 5/2 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (/.f64 (sqrt.f64 x) y)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (/.f64 (pow.f64 y #s(literal 2 binary64)) x)) #s(literal 2 binary64)) #s(literal -1 binary64)) (cbrt.f64 (*.f64 x (pow.f64 y #s(literal -2 binary64)))))
(*.f64 (pow.f64 (/.f64 y #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 x y))
(*.f64 (pow.f64 (/.f64 y (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) #s(literal -1 binary64)) (pow.f64 (/.f64 y (cbrt.f64 x)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 y (sqrt.f64 x)) #s(literal -1 binary64)) (pow.f64 (/.f64 y (sqrt.f64 x)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 x) #s(literal -2 binary64)) #s(literal -1 binary64)) (pow.f64 (/.f64 (pow.f64 y #s(literal 2 binary64)) (cbrt.f64 x)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal -1 binary64)) (pow.f64 (/.f64 (pow.f64 y #s(literal 2 binary64)) (sqrt.f64 x)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 (pow.f64 (cbrt.f64 y) #s(literal 4 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) (pow.f64 (/.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) x) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 (pow.f64 (cbrt.f64 y) #s(literal 4 binary64)) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) #s(literal -1 binary64)) (pow.f64 (/.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (cbrt.f64 x)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 (pow.f64 (cbrt.f64 y) #s(literal 4 binary64)) (sqrt.f64 x)) #s(literal -1 binary64)) (pow.f64 (/.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (sqrt.f64 x)) #s(literal -1 binary64)))
(*.f64 (cbrt.f64 (sqrt.f64 (pow.f64 (/.f64 (sqrt.f64 x) y) #s(literal 6 binary64)))) (cbrt.f64 (sqrt.f64 (pow.f64 (/.f64 (sqrt.f64 x) y) #s(literal 6 binary64)))))
(*.f64 (cbrt.f64 (*.f64 (pow.f64 (/.f64 (sqrt.f64 x) y) #s(literal 4 binary64)) x)) (cbrt.f64 (pow.f64 y #s(literal -2 binary64))))
(*.f64 (cbrt.f64 (pow.f64 (*.f64 (*.f64 x (pow.f64 y #s(literal -2 binary64))) (cbrt.f64 (*.f64 x (pow.f64 y #s(literal -2 binary64))))) #s(literal 2 binary64))) (cbrt.f64 (cbrt.f64 (*.f64 x (pow.f64 y #s(literal -2 binary64))))))
(*.f64 (cbrt.f64 (pow.f64 (*.f64 x (pow.f64 y #s(literal -2 binary64))) #s(literal 5/2 binary64))) (cbrt.f64 (/.f64 (sqrt.f64 x) y)))
(pow.f64 (*.f64 x (pow.f64 y #s(literal -2 binary64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 x (pow.f64 y #s(literal -2 binary64)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (/.f64 (sqrt.f64 x) y) #s(literal 4 binary64)) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (/.f64 (sqrt.f64 x) y) #s(literal 6 binary64)) #s(literal 1/3 binary64))
(pow.f64 (/.f64 (sqrt.f64 x) y) #s(literal 2 binary64))
(pow.f64 (/.f64 (pow.f64 y #s(literal 2 binary64)) x) #s(literal -1 binary64))
(pow.f64 (E.f64) (log.f64 (*.f64 x (pow.f64 y #s(literal -2 binary64)))))
(pow.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 6 binary64))) #s(literal 1/3 binary64))
(pow.f64 (/.f64 (/.f64 (pow.f64 y #s(literal 2 binary64)) x) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 y (/.f64 x y)) #s(literal -1 binary64))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 x (pow.f64 y #s(literal -2 binary64))))) #s(literal 2 binary64))) (cbrt.f64 (log.f64 (*.f64 x (pow.f64 y #s(literal -2 binary64))))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (*.f64 x (pow.f64 y #s(literal -2 binary64)))))) (sqrt.f64 (log.f64 (*.f64 x (pow.f64 y #s(literal -2 binary64))))))
(neg.f64 (/.f64 x (neg.f64 (pow.f64 y #s(literal 2 binary64)))))
(neg.f64 (/.f64 (neg.f64 x) (pow.f64 y #s(literal 2 binary64))))
(sqrt.f64 (pow.f64 (/.f64 (sqrt.f64 x) y) #s(literal 4 binary64)))
(log.f64 (pow.f64 (exp.f64 x) (pow.f64 y #s(literal -2 binary64))))
(cbrt.f64 (pow.f64 (/.f64 (sqrt.f64 x) y) #s(literal 6 binary64)))
(cbrt.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 6 binary64))))
(expm1.f64 (log1p.f64 (*.f64 x (pow.f64 y #s(literal -2 binary64)))))
(log1p.f64 (expm1.f64 (*.f64 x (pow.f64 y #s(literal -2 binary64)))))
(exp.f64 (log.f64 (*.f64 x (pow.f64 y #s(literal -2 binary64)))))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 x (pow.f64 y #s(literal -2 binary64))))) #s(literal 3 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (/.f64 (sqrt.f64 x) y) #s(literal 6 binary64))) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (/.f64 (sqrt.f64 x) y)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (/.f64 (pow.f64 y #s(literal 2 binary64)) x)) #s(literal -1 binary64)))
(+.f64 #s(literal 0 binary64) (pow.f64 y #s(literal 2 binary64)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (pow.f64 y #s(literal 2 binary64)))) #s(literal 2 binary64))) (log.f64 (cbrt.f64 (exp.f64 (pow.f64 y #s(literal 2 binary64))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (pow.f64 y #s(literal 2 binary64))))) (log.f64 (sqrt.f64 (exp.f64 (pow.f64 y #s(literal 2 binary64))))))
(-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))) #s(literal 1 binary64))
(pow.f64 y #s(literal 2 binary64))
(pow.f64 (pow.f64 y #s(literal 2 binary64)) #s(literal 1 binary64))
(pow.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) #s(literal 3 binary64))
(pow.f64 (cbrt.f64 y) #s(literal 6 binary64))
(pow.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 y #s(literal 6 binary64)) #s(literal 1/3 binary64))
(pow.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 2/3 binary64))
(pow.f64 (sqrt.f64 y) #s(literal 4 binary64))
(pow.f64 (E.f64) (*.f64 #s(literal 2 binary64) (log.f64 y)))
(pow.f64 (exp.f64 #s(literal 2 binary64)) (log.f64 y))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (*.f64 #s(literal 2 binary64) (log.f64 y))) #s(literal 2 binary64))) (cbrt.f64 (*.f64 #s(literal 2 binary64) (log.f64 y))))
(pow.f64 (exp.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (log.f64 y)))) (sqrt.f64 (*.f64 #s(literal 2 binary64) (log.f64 y))))
(sqrt.f64 (pow.f64 y #s(literal 4 binary64)))
(log.f64 (exp.f64 (pow.f64 y #s(literal 2 binary64))))
(cbrt.f64 (pow.f64 y #s(literal 6 binary64)))
(expm1.f64 (log1p.f64 (pow.f64 y #s(literal 2 binary64))))
(log1p.f64 (expm1.f64 (pow.f64 y #s(literal 2 binary64))))
(exp.f64 (*.f64 #s(literal 2 binary64) (log.f64 y)))
(exp.f64 (*.f64 (*.f64 #s(literal 2 binary64) (log.f64 (cbrt.f64 y))) #s(literal 3 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 y #s(literal 6 binary64))) #s(literal 1/3 binary64)))

simplify129.0ms (3.3%)

Algorithm
egg-herbie
Rules
360×prod-exp
301×associate-*r*
293×associate-/r/
275×associate-/l/
243×associate-*l*
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
02604294970525
14574294970489
29374294970447
333654294970447
476664294970447
Stop Event
node limit
Counts
131 → 115
Calls
Call 1
Inputs
(/.f64 x (pow.f64 y #s(literal 2 binary64)))
(/.f64 x (pow.f64 y #s(literal 2 binary64)))
(/.f64 x (pow.f64 y #s(literal 2 binary64)))
(/.f64 x (pow.f64 y #s(literal 2 binary64)))
(/.f64 x (pow.f64 y #s(literal 2 binary64)))
(/.f64 x (pow.f64 y #s(literal 2 binary64)))
(/.f64 x (pow.f64 y #s(literal 2 binary64)))
(/.f64 x (pow.f64 y #s(literal 2 binary64)))
(/.f64 x (pow.f64 y #s(literal 2 binary64)))
(/.f64 x (pow.f64 y #s(literal 2 binary64)))
(/.f64 x (pow.f64 y #s(literal 2 binary64)))
(/.f64 x (pow.f64 y #s(literal 2 binary64)))
(/.f64 x (pow.f64 y #s(literal 2 binary64)))
(/.f64 x (pow.f64 y #s(literal 2 binary64)))
(/.f64 x (pow.f64 y #s(literal 2 binary64)))
(/.f64 x (pow.f64 y #s(literal 2 binary64)))
(/.f64 x (pow.f64 y #s(literal 2 binary64)))
(/.f64 x (pow.f64 y #s(literal 2 binary64)))
(/.f64 x (pow.f64 y #s(literal 2 binary64)))
(/.f64 x (pow.f64 y #s(literal 2 binary64)))
(/.f64 x (pow.f64 y #s(literal 2 binary64)))
(/.f64 x (pow.f64 y #s(literal 2 binary64)))
(/.f64 x (pow.f64 y #s(literal 2 binary64)))
(/.f64 x (pow.f64 y #s(literal 2 binary64)))
(pow.f64 y #s(literal 2 binary64))
(pow.f64 y #s(literal 2 binary64))
(pow.f64 y #s(literal 2 binary64))
(pow.f64 y #s(literal 2 binary64))
(pow.f64 y #s(literal 2 binary64))
(pow.f64 y #s(literal 2 binary64))
(pow.f64 y #s(literal 2 binary64))
(pow.f64 y #s(literal 2 binary64))
(pow.f64 y #s(literal 2 binary64))
(pow.f64 y #s(literal 2 binary64))
(pow.f64 y #s(literal 2 binary64))
(pow.f64 y #s(literal 2 binary64))
(+.f64 #s(literal 0 binary64) (*.f64 x (pow.f64 y #s(literal -2 binary64))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (pow.f64 y #s(literal -2 binary64)))) #s(literal 2 binary64))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (pow.f64 y #s(literal -2 binary64))))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (pow.f64 y #s(literal -2 binary64))))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (pow.f64 y #s(literal -2 binary64))))))
(-.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (pow.f64 y #s(literal -2 binary64)))) #s(literal 1 binary64))
(*.f64 x (pow.f64 y #s(literal -2 binary64)))
(*.f64 (*.f64 x (pow.f64 y #s(literal -2 binary64))) #s(literal 1 binary64))
(*.f64 (*.f64 x (pow.f64 y #s(literal -2 binary64))) (log.f64 (E.f64)))
(*.f64 #s(literal 1 binary64) (*.f64 x (pow.f64 y #s(literal -2 binary64))))
(*.f64 (cbrt.f64 (*.f64 x (pow.f64 y #s(literal -2 binary64)))) (cbrt.f64 (pow.f64 (/.f64 (sqrt.f64 x) y) #s(literal 4 binary64))))
(*.f64 (cbrt.f64 (pow.f64 (/.f64 (sqrt.f64 x) y) #s(literal 4 binary64))) (cbrt.f64 (*.f64 x (pow.f64 y #s(literal -2 binary64)))))
(*.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (/.f64 (cbrt.f64 x) (pow.f64 y #s(literal 2 binary64))))
(*.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (*.f64 (cbrt.f64 x) (pow.f64 y #s(literal -2 binary64))))
(*.f64 (/.f64 (sqrt.f64 x) y) (/.f64 (sqrt.f64 x) y))
(*.f64 (sqrt.f64 x) (/.f64 (sqrt.f64 x) (pow.f64 y #s(literal 2 binary64))))
(*.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (pow.f64 y #s(literal -2 binary64))))
(*.f64 (neg.f64 x) (/.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 y #s(literal 2 binary64)))))
(*.f64 (pow.f64 y #s(literal -2 binary64)) x)
(*.f64 (pow.f64 y #s(literal -2 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)))
(*.f64 (/.f64 x y) (/.f64 #s(literal 1 binary64) y))
(*.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 x y))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) #s(literal -2 binary64)) (/.f64 x (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) #s(literal -2 binary64)) (pow.f64 (/.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) x) #s(literal -1 binary64)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) y) (/.f64 (cbrt.f64 x) y))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (cbrt.f64 x) (pow.f64 y #s(literal 2 binary64))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 y) #s(literal 4 binary64))) (cbrt.f64 (*.f64 x (pow.f64 y #s(literal -2 binary64)))))
(*.f64 (/.f64 (sqrt.f64 x) #s(literal 1 binary64)) (/.f64 (sqrt.f64 x) (pow.f64 y #s(literal 2 binary64))))
(*.f64 (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 y) #s(literal 4 binary64))) (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/3 binary64)) (*.f64 x (pow.f64 y #s(literal -2 binary64))))
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (*.f64 x (pow.f64 y #s(literal -2 binary64))))) #s(literal 3 binary64)) (pow.f64 (sqrt.f64 (cbrt.f64 (*.f64 x (pow.f64 y #s(literal -2 binary64))))) #s(literal 3 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (/.f64 (sqrt.f64 x) y) #s(literal 6 binary64))) #s(literal 1/3 binary64)) (pow.f64 (sqrt.f64 (pow.f64 (/.f64 (sqrt.f64 x) y) #s(literal 6 binary64))) #s(literal 1/3 binary64)))
(*.f64 (pow.f64 (*.f64 (pow.f64 (/.f64 (sqrt.f64 x) y) #s(literal 4 binary64)) x) #s(literal 1/3 binary64)) (cbrt.f64 (pow.f64 y #s(literal -2 binary64))))
(*.f64 (pow.f64 (pow.f64 (*.f64 (*.f64 x (pow.f64 y #s(literal -2 binary64))) (cbrt.f64 (*.f64 x (pow.f64 y #s(literal -2 binary64))))) #s(literal 2 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (cbrt.f64 (*.f64 x (pow.f64 y #s(literal -2 binary64))))))
(*.f64 (pow.f64 (pow.f64 (*.f64 x (pow.f64 y #s(literal -2 binary64))) #s(literal 5/2 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (/.f64 (sqrt.f64 x) y)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (/.f64 (pow.f64 y #s(literal 2 binary64)) x)) #s(literal 2 binary64)) #s(literal -1 binary64)) (cbrt.f64 (*.f64 x (pow.f64 y #s(literal -2 binary64)))))
(*.f64 (pow.f64 (/.f64 y #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 x y))
(*.f64 (pow.f64 (/.f64 y (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) #s(literal -1 binary64)) (pow.f64 (/.f64 y (cbrt.f64 x)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 y (sqrt.f64 x)) #s(literal -1 binary64)) (pow.f64 (/.f64 y (sqrt.f64 x)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 x) #s(literal -2 binary64)) #s(literal -1 binary64)) (pow.f64 (/.f64 (pow.f64 y #s(literal 2 binary64)) (cbrt.f64 x)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal -1 binary64)) (pow.f64 (/.f64 (pow.f64 y #s(literal 2 binary64)) (sqrt.f64 x)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 (pow.f64 (cbrt.f64 y) #s(literal 4 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) (pow.f64 (/.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) x) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 (pow.f64 (cbrt.f64 y) #s(literal 4 binary64)) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) #s(literal -1 binary64)) (pow.f64 (/.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (cbrt.f64 x)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 (pow.f64 (cbrt.f64 y) #s(literal 4 binary64)) (sqrt.f64 x)) #s(literal -1 binary64)) (pow.f64 (/.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (sqrt.f64 x)) #s(literal -1 binary64)))
(*.f64 (cbrt.f64 (sqrt.f64 (pow.f64 (/.f64 (sqrt.f64 x) y) #s(literal 6 binary64)))) (cbrt.f64 (sqrt.f64 (pow.f64 (/.f64 (sqrt.f64 x) y) #s(literal 6 binary64)))))
(*.f64 (cbrt.f64 (*.f64 (pow.f64 (/.f64 (sqrt.f64 x) y) #s(literal 4 binary64)) x)) (cbrt.f64 (pow.f64 y #s(literal -2 binary64))))
(*.f64 (cbrt.f64 (pow.f64 (*.f64 (*.f64 x (pow.f64 y #s(literal -2 binary64))) (cbrt.f64 (*.f64 x (pow.f64 y #s(literal -2 binary64))))) #s(literal 2 binary64))) (cbrt.f64 (cbrt.f64 (*.f64 x (pow.f64 y #s(literal -2 binary64))))))
(*.f64 (cbrt.f64 (pow.f64 (*.f64 x (pow.f64 y #s(literal -2 binary64))) #s(literal 5/2 binary64))) (cbrt.f64 (/.f64 (sqrt.f64 x) y)))
(pow.f64 (*.f64 x (pow.f64 y #s(literal -2 binary64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 x (pow.f64 y #s(literal -2 binary64)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (/.f64 (sqrt.f64 x) y) #s(literal 4 binary64)) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (/.f64 (sqrt.f64 x) y) #s(literal 6 binary64)) #s(literal 1/3 binary64))
(pow.f64 (/.f64 (sqrt.f64 x) y) #s(literal 2 binary64))
(pow.f64 (/.f64 (pow.f64 y #s(literal 2 binary64)) x) #s(literal -1 binary64))
(pow.f64 (E.f64) (log.f64 (*.f64 x (pow.f64 y #s(literal -2 binary64)))))
(pow.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 6 binary64))) #s(literal 1/3 binary64))
(pow.f64 (/.f64 (/.f64 (pow.f64 y #s(literal 2 binary64)) x) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 y (/.f64 x y)) #s(literal -1 binary64))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 x (pow.f64 y #s(literal -2 binary64))))) #s(literal 2 binary64))) (cbrt.f64 (log.f64 (*.f64 x (pow.f64 y #s(literal -2 binary64))))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (*.f64 x (pow.f64 y #s(literal -2 binary64)))))) (sqrt.f64 (log.f64 (*.f64 x (pow.f64 y #s(literal -2 binary64))))))
(neg.f64 (/.f64 x (neg.f64 (pow.f64 y #s(literal 2 binary64)))))
(neg.f64 (/.f64 (neg.f64 x) (pow.f64 y #s(literal 2 binary64))))
(sqrt.f64 (pow.f64 (/.f64 (sqrt.f64 x) y) #s(literal 4 binary64)))
(log.f64 (pow.f64 (exp.f64 x) (pow.f64 y #s(literal -2 binary64))))
(cbrt.f64 (pow.f64 (/.f64 (sqrt.f64 x) y) #s(literal 6 binary64)))
(cbrt.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 6 binary64))))
(expm1.f64 (log1p.f64 (*.f64 x (pow.f64 y #s(literal -2 binary64)))))
(log1p.f64 (expm1.f64 (*.f64 x (pow.f64 y #s(literal -2 binary64)))))
(exp.f64 (log.f64 (*.f64 x (pow.f64 y #s(literal -2 binary64)))))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 x (pow.f64 y #s(literal -2 binary64))))) #s(literal 3 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (/.f64 (sqrt.f64 x) y) #s(literal 6 binary64))) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (/.f64 (sqrt.f64 x) y)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (/.f64 (pow.f64 y #s(literal 2 binary64)) x)) #s(literal -1 binary64)))
(+.f64 #s(literal 0 binary64) (pow.f64 y #s(literal 2 binary64)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (pow.f64 y #s(literal 2 binary64)))) #s(literal 2 binary64))) (log.f64 (cbrt.f64 (exp.f64 (pow.f64 y #s(literal 2 binary64))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (pow.f64 y #s(literal 2 binary64))))) (log.f64 (sqrt.f64 (exp.f64 (pow.f64 y #s(literal 2 binary64))))))
(-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))) #s(literal 1 binary64))
(pow.f64 y #s(literal 2 binary64))
(pow.f64 (pow.f64 y #s(literal 2 binary64)) #s(literal 1 binary64))
(pow.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) #s(literal 3 binary64))
(pow.f64 (cbrt.f64 y) #s(literal 6 binary64))
(pow.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 y #s(literal 6 binary64)) #s(literal 1/3 binary64))
(pow.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 2/3 binary64))
(pow.f64 (sqrt.f64 y) #s(literal 4 binary64))
(pow.f64 (E.f64) (*.f64 #s(literal 2 binary64) (log.f64 y)))
(pow.f64 (exp.f64 #s(literal 2 binary64)) (log.f64 y))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (*.f64 #s(literal 2 binary64) (log.f64 y))) #s(literal 2 binary64))) (cbrt.f64 (*.f64 #s(literal 2 binary64) (log.f64 y))))
(pow.f64 (exp.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (log.f64 y)))) (sqrt.f64 (*.f64 #s(literal 2 binary64) (log.f64 y))))
(sqrt.f64 (pow.f64 y #s(literal 4 binary64)))
(log.f64 (exp.f64 (pow.f64 y #s(literal 2 binary64))))
(cbrt.f64 (pow.f64 y #s(literal 6 binary64)))
(expm1.f64 (log1p.f64 (pow.f64 y #s(literal 2 binary64))))
(log1p.f64 (expm1.f64 (pow.f64 y #s(literal 2 binary64))))
(exp.f64 (*.f64 #s(literal 2 binary64) (log.f64 y)))
(exp.f64 (*.f64 (*.f64 #s(literal 2 binary64) (log.f64 (cbrt.f64 y))) #s(literal 3 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 y #s(literal 6 binary64))) #s(literal 1/3 binary64)))
Outputs
(/.f64 x (pow.f64 y #s(literal 2 binary64)))
(*.f64 x (pow.f64 y #s(literal -2 binary64)))
(/.f64 x (pow.f64 y #s(literal 2 binary64)))
(*.f64 x (pow.f64 y #s(literal -2 binary64)))
(/.f64 x (pow.f64 y #s(literal 2 binary64)))
(*.f64 x (pow.f64 y #s(literal -2 binary64)))
(/.f64 x (pow.f64 y #s(literal 2 binary64)))
(*.f64 x (pow.f64 y #s(literal -2 binary64)))
(/.f64 x (pow.f64 y #s(literal 2 binary64)))
(*.f64 x (pow.f64 y #s(literal -2 binary64)))
(/.f64 x (pow.f64 y #s(literal 2 binary64)))
(*.f64 x (pow.f64 y #s(literal -2 binary64)))
(/.f64 x (pow.f64 y #s(literal 2 binary64)))
(*.f64 x (pow.f64 y #s(literal -2 binary64)))
(/.f64 x (pow.f64 y #s(literal 2 binary64)))
(*.f64 x (pow.f64 y #s(literal -2 binary64)))
(/.f64 x (pow.f64 y #s(literal 2 binary64)))
(*.f64 x (pow.f64 y #s(literal -2 binary64)))
(/.f64 x (pow.f64 y #s(literal 2 binary64)))
(*.f64 x (pow.f64 y #s(literal -2 binary64)))
(/.f64 x (pow.f64 y #s(literal 2 binary64)))
(*.f64 x (pow.f64 y #s(literal -2 binary64)))
(/.f64 x (pow.f64 y #s(literal 2 binary64)))
(*.f64 x (pow.f64 y #s(literal -2 binary64)))
(/.f64 x (pow.f64 y #s(literal 2 binary64)))
(*.f64 x (pow.f64 y #s(literal -2 binary64)))
(/.f64 x (pow.f64 y #s(literal 2 binary64)))
(*.f64 x (pow.f64 y #s(literal -2 binary64)))
(/.f64 x (pow.f64 y #s(literal 2 binary64)))
(*.f64 x (pow.f64 y #s(literal -2 binary64)))
(/.f64 x (pow.f64 y #s(literal 2 binary64)))
(*.f64 x (pow.f64 y #s(literal -2 binary64)))
(/.f64 x (pow.f64 y #s(literal 2 binary64)))
(*.f64 x (pow.f64 y #s(literal -2 binary64)))
(/.f64 x (pow.f64 y #s(literal 2 binary64)))
(*.f64 x (pow.f64 y #s(literal -2 binary64)))
(/.f64 x (pow.f64 y #s(literal 2 binary64)))
(*.f64 x (pow.f64 y #s(literal -2 binary64)))
(/.f64 x (pow.f64 y #s(literal 2 binary64)))
(*.f64 x (pow.f64 y #s(literal -2 binary64)))
(/.f64 x (pow.f64 y #s(literal 2 binary64)))
(*.f64 x (pow.f64 y #s(literal -2 binary64)))
(/.f64 x (pow.f64 y #s(literal 2 binary64)))
(*.f64 x (pow.f64 y #s(literal -2 binary64)))
(/.f64 x (pow.f64 y #s(literal 2 binary64)))
(*.f64 x (pow.f64 y #s(literal -2 binary64)))
(/.f64 x (pow.f64 y #s(literal 2 binary64)))
(*.f64 x (pow.f64 y #s(literal -2 binary64)))
(pow.f64 y #s(literal 2 binary64))
(pow.f64 y #s(literal 2 binary64))
(pow.f64 y #s(literal 2 binary64))
(pow.f64 y #s(literal 2 binary64))
(pow.f64 y #s(literal 2 binary64))
(pow.f64 y #s(literal 2 binary64))
(pow.f64 y #s(literal 2 binary64))
(pow.f64 y #s(literal 2 binary64))
(pow.f64 y #s(literal 2 binary64))
(pow.f64 y #s(literal 2 binary64))
(pow.f64 y #s(literal 2 binary64))
(pow.f64 y #s(literal 2 binary64))
(+.f64 #s(literal 0 binary64) (*.f64 x (pow.f64 y #s(literal -2 binary64))))
(/.f64 x (pow.f64 y #s(literal 2 binary64)))
(*.f64 x (pow.f64 y #s(literal -2 binary64)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (pow.f64 y #s(literal -2 binary64)))) #s(literal 2 binary64))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (pow.f64 y #s(literal -2 binary64))))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (pow.f64 y #s(literal -2 binary64))) x)) #s(literal 2 binary64))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (pow.f64 y #s(literal -2 binary64))) x))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (pow.f64 y #s(literal -2 binary64))))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (pow.f64 y #s(literal -2 binary64))))))
(*.f64 #s(literal 2 binary64) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (pow.f64 y #s(literal -2 binary64))))))
(*.f64 #s(literal 2 binary64) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (pow.f64 y #s(literal -2 binary64))) x))))
(-.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (pow.f64 y #s(literal -2 binary64)))) #s(literal 1 binary64))
(/.f64 x (pow.f64 y #s(literal 2 binary64)))
(*.f64 x (pow.f64 y #s(literal -2 binary64)))
(*.f64 x (pow.f64 y #s(literal -2 binary64)))
(/.f64 x (pow.f64 y #s(literal 2 binary64)))
(*.f64 (*.f64 x (pow.f64 y #s(literal -2 binary64))) #s(literal 1 binary64))
(/.f64 x (pow.f64 y #s(literal 2 binary64)))
(*.f64 x (pow.f64 y #s(literal -2 binary64)))
(*.f64 (*.f64 x (pow.f64 y #s(literal -2 binary64))) (log.f64 (E.f64)))
(/.f64 x (pow.f64 y #s(literal 2 binary64)))
(*.f64 x (pow.f64 y #s(literal -2 binary64)))
(*.f64 #s(literal 1 binary64) (*.f64 x (pow.f64 y #s(literal -2 binary64))))
(/.f64 x (pow.f64 y #s(literal 2 binary64)))
(*.f64 x (pow.f64 y #s(literal -2 binary64)))
(*.f64 (cbrt.f64 (*.f64 x (pow.f64 y #s(literal -2 binary64)))) (cbrt.f64 (pow.f64 (/.f64 (sqrt.f64 x) y) #s(literal 4 binary64))))
(*.f64 (cbrt.f64 (pow.f64 (/.f64 (sqrt.f64 x) y) #s(literal 4 binary64))) (cbrt.f64 (*.f64 x (pow.f64 y #s(literal -2 binary64)))))
(*.f64 (cbrt.f64 (*.f64 x (pow.f64 y #s(literal -2 binary64)))) (cbrt.f64 (pow.f64 (/.f64 (sqrt.f64 x) y) #s(literal 4 binary64))))
(*.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (/.f64 (cbrt.f64 x) (pow.f64 y #s(literal 2 binary64))))
(/.f64 x (pow.f64 y #s(literal 2 binary64)))
(*.f64 x (pow.f64 y #s(literal -2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (*.f64 (cbrt.f64 x) (pow.f64 y #s(literal -2 binary64))))
(/.f64 x (pow.f64 y #s(literal 2 binary64)))
(*.f64 x (pow.f64 y #s(literal -2 binary64)))
(*.f64 (/.f64 (sqrt.f64 x) y) (/.f64 (sqrt.f64 x) y))
(/.f64 x (pow.f64 y #s(literal 2 binary64)))
(*.f64 x (pow.f64 y #s(literal -2 binary64)))
(*.f64 (sqrt.f64 x) (/.f64 (sqrt.f64 x) (pow.f64 y #s(literal 2 binary64))))
(/.f64 x (pow.f64 y #s(literal 2 binary64)))
(*.f64 x (pow.f64 y #s(literal -2 binary64)))
(*.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (pow.f64 y #s(literal -2 binary64))))
(/.f64 x (pow.f64 y #s(literal 2 binary64)))
(*.f64 x (pow.f64 y #s(literal -2 binary64)))
(*.f64 (neg.f64 x) (/.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 y #s(literal 2 binary64)))))
(/.f64 x (pow.f64 y #s(literal 2 binary64)))
(*.f64 x (pow.f64 y #s(literal -2 binary64)))
(*.f64 (pow.f64 y #s(literal -2 binary64)) x)
(/.f64 x (pow.f64 y #s(literal 2 binary64)))
(*.f64 x (pow.f64 y #s(literal -2 binary64)))
(*.f64 (pow.f64 y #s(literal -2 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)))
(/.f64 x (pow.f64 y #s(literal 2 binary64)))
(*.f64 x (pow.f64 y #s(literal -2 binary64)))
(*.f64 (/.f64 x y) (/.f64 #s(literal 1 binary64) y))
(/.f64 x (pow.f64 y #s(literal 2 binary64)))
(*.f64 x (pow.f64 y #s(literal -2 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 x y))
(/.f64 x (pow.f64 y #s(literal 2 binary64)))
(*.f64 x (pow.f64 y #s(literal -2 binary64)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) #s(literal -2 binary64)) (/.f64 x (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) #s(literal -2 binary64)) (*.f64 x (pow.f64 (cbrt.f64 y) #s(literal -2 binary64))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) #s(literal -2 binary64)) (pow.f64 (/.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) x) #s(literal -1 binary64)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) #s(literal -2 binary64)) (/.f64 x (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) #s(literal -2 binary64)) (*.f64 x (pow.f64 (cbrt.f64 y) #s(literal -2 binary64))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) y) (/.f64 (cbrt.f64 x) y))
(/.f64 x (pow.f64 y #s(literal 2 binary64)))
(*.f64 x (pow.f64 y #s(literal -2 binary64)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (cbrt.f64 x) (pow.f64 y #s(literal 2 binary64))))
(/.f64 x (pow.f64 y #s(literal 2 binary64)))
(*.f64 x (pow.f64 y #s(literal -2 binary64)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 y) #s(literal 4 binary64))) (cbrt.f64 (*.f64 x (pow.f64 y #s(literal -2 binary64)))))
(*.f64 (cbrt.f64 (*.f64 x (pow.f64 y #s(literal -2 binary64)))) (/.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 y) #s(literal 4 binary64))))
(*.f64 (/.f64 (sqrt.f64 x) #s(literal 1 binary64)) (/.f64 (sqrt.f64 x) (pow.f64 y #s(literal 2 binary64))))
(/.f64 x (pow.f64 y #s(literal 2 binary64)))
(*.f64 x (pow.f64 y #s(literal -2 binary64)))
(*.f64 (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 y) #s(literal 4 binary64))) (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))))
(/.f64 x (pow.f64 y #s(literal 2 binary64)))
(*.f64 x (pow.f64 y #s(literal -2 binary64)))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/3 binary64)) (*.f64 x (pow.f64 y #s(literal -2 binary64))))
(/.f64 x (pow.f64 y #s(literal 2 binary64)))
(*.f64 x (pow.f64 y #s(literal -2 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (*.f64 x (pow.f64 y #s(literal -2 binary64))))) #s(literal 3 binary64)) (pow.f64 (sqrt.f64 (cbrt.f64 (*.f64 x (pow.f64 y #s(literal -2 binary64))))) #s(literal 3 binary64)))
(/.f64 x (pow.f64 y #s(literal 2 binary64)))
(*.f64 x (pow.f64 y #s(literal -2 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (/.f64 (sqrt.f64 x) y) #s(literal 6 binary64))) #s(literal 1/3 binary64)) (pow.f64 (sqrt.f64 (pow.f64 (/.f64 (sqrt.f64 x) y) #s(literal 6 binary64))) #s(literal 1/3 binary64)))
(*.f64 (cbrt.f64 (sqrt.f64 (pow.f64 (/.f64 (sqrt.f64 x) y) #s(literal 6 binary64)))) (cbrt.f64 (sqrt.f64 (pow.f64 (/.f64 (sqrt.f64 x) y) #s(literal 6 binary64)))))
(*.f64 (pow.f64 (*.f64 (pow.f64 (/.f64 (sqrt.f64 x) y) #s(literal 4 binary64)) x) #s(literal 1/3 binary64)) (cbrt.f64 (pow.f64 y #s(literal -2 binary64))))
(*.f64 (cbrt.f64 (*.f64 x (pow.f64 (/.f64 (sqrt.f64 x) y) #s(literal 4 binary64)))) (cbrt.f64 (pow.f64 y #s(literal -2 binary64))))
(*.f64 (pow.f64 (pow.f64 (*.f64 (*.f64 x (pow.f64 y #s(literal -2 binary64))) (cbrt.f64 (*.f64 x (pow.f64 y #s(literal -2 binary64))))) #s(literal 2 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (cbrt.f64 (*.f64 x (pow.f64 y #s(literal -2 binary64))))))
(*.f64 (cbrt.f64 (pow.f64 (*.f64 (*.f64 x (pow.f64 y #s(literal -2 binary64))) (cbrt.f64 (*.f64 x (pow.f64 y #s(literal -2 binary64))))) #s(literal 2 binary64))) (cbrt.f64 (cbrt.f64 (*.f64 x (pow.f64 y #s(literal -2 binary64))))))
(*.f64 (cbrt.f64 (pow.f64 (pow.f64 (cbrt.f64 (*.f64 x (pow.f64 y #s(literal -2 binary64)))) #s(literal 4 binary64)) #s(literal 2 binary64))) (cbrt.f64 (cbrt.f64 (*.f64 x (pow.f64 y #s(literal -2 binary64))))))
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (*.f64 x (pow.f64 y #s(literal -2 binary64)))) #s(literal 8 binary64))) (cbrt.f64 (cbrt.f64 (*.f64 x (pow.f64 y #s(literal -2 binary64))))))
(*.f64 (pow.f64 (pow.f64 (*.f64 x (pow.f64 y #s(literal -2 binary64))) #s(literal 5/2 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (/.f64 (sqrt.f64 x) y)))
(*.f64 (cbrt.f64 (pow.f64 (*.f64 x (pow.f64 y #s(literal -2 binary64))) #s(literal 5/2 binary64))) (cbrt.f64 (/.f64 (sqrt.f64 x) y)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (/.f64 (pow.f64 y #s(literal 2 binary64)) x)) #s(literal 2 binary64)) #s(literal -1 binary64)) (cbrt.f64 (*.f64 x (pow.f64 y #s(literal -2 binary64)))))
(*.f64 (cbrt.f64 (*.f64 x (pow.f64 y #s(literal -2 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 (/.f64 (pow.f64 y #s(literal 2 binary64)) x)) #s(literal 2 binary64))))
(/.f64 (cbrt.f64 (*.f64 x (pow.f64 y #s(literal -2 binary64)))) (pow.f64 (cbrt.f64 (/.f64 (pow.f64 y #s(literal 2 binary64)) x)) #s(literal 2 binary64)))
(*.f64 (pow.f64 (/.f64 y #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 x y))
(/.f64 x (pow.f64 y #s(literal 2 binary64)))
(*.f64 x (pow.f64 y #s(literal -2 binary64)))
(*.f64 (pow.f64 (/.f64 y (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) #s(literal -1 binary64)) (pow.f64 (/.f64 y (cbrt.f64 x)) #s(literal -1 binary64)))
(/.f64 x (pow.f64 y #s(literal 2 binary64)))
(*.f64 x (pow.f64 y #s(literal -2 binary64)))
(*.f64 (pow.f64 (/.f64 y (sqrt.f64 x)) #s(literal -1 binary64)) (pow.f64 (/.f64 y (sqrt.f64 x)) #s(literal -1 binary64)))
(/.f64 x (pow.f64 y #s(literal 2 binary64)))
(*.f64 x (pow.f64 y #s(literal -2 binary64)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 x) #s(literal -2 binary64)) #s(literal -1 binary64)) (pow.f64 (/.f64 (pow.f64 y #s(literal 2 binary64)) (cbrt.f64 x)) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 x) #s(literal -2 binary64))) (/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (cbrt.f64 x))))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 x) #s(literal -2 binary64))) (*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))) (cbrt.f64 x)))
(/.f64 (/.f64 (cbrt.f64 x) (pow.f64 y #s(literal 2 binary64))) (pow.f64 (cbrt.f64 x) #s(literal -2 binary64)))
(/.f64 (cbrt.f64 x) (*.f64 (pow.f64 (cbrt.f64 x) #s(literal -2 binary64)) (pow.f64 y #s(literal 2 binary64))))
(*.f64 (pow.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal -1 binary64)) (pow.f64 (/.f64 (pow.f64 y #s(literal 2 binary64)) (sqrt.f64 x)) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -1/2 binary64))) (/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (sqrt.f64 x))))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -1/2 binary64))) (*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))) (sqrt.f64 x)))
(/.f64 (/.f64 (sqrt.f64 x) (pow.f64 y #s(literal 2 binary64))) (pow.f64 x #s(literal -1/2 binary64)))
(/.f64 (*.f64 (pow.f64 y #s(literal -2 binary64)) (sqrt.f64 x)) (pow.f64 x #s(literal -1/2 binary64)))
(*.f64 (pow.f64 (/.f64 (pow.f64 (cbrt.f64 y) #s(literal 4 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) (pow.f64 (/.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) x) #s(literal -1 binary64)))
(/.f64 x (pow.f64 y #s(literal 2 binary64)))
(*.f64 x (pow.f64 y #s(literal -2 binary64)))
(*.f64 (pow.f64 (/.f64 (pow.f64 (cbrt.f64 y) #s(literal 4 binary64)) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) #s(literal -1 binary64)) (pow.f64 (/.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (cbrt.f64 x)) #s(literal -1 binary64)))
(/.f64 x (pow.f64 y #s(literal 2 binary64)))
(*.f64 x (pow.f64 y #s(literal -2 binary64)))
(*.f64 (pow.f64 (/.f64 (pow.f64 (cbrt.f64 y) #s(literal 4 binary64)) (sqrt.f64 x)) #s(literal -1 binary64)) (pow.f64 (/.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (sqrt.f64 x)) #s(literal -1 binary64)))
(/.f64 x (pow.f64 y #s(literal 2 binary64)))
(*.f64 x (pow.f64 y #s(literal -2 binary64)))
(*.f64 (cbrt.f64 (sqrt.f64 (pow.f64 (/.f64 (sqrt.f64 x) y) #s(literal 6 binary64)))) (cbrt.f64 (sqrt.f64 (pow.f64 (/.f64 (sqrt.f64 x) y) #s(literal 6 binary64)))))
(*.f64 (cbrt.f64 (*.f64 (pow.f64 (/.f64 (sqrt.f64 x) y) #s(literal 4 binary64)) x)) (cbrt.f64 (pow.f64 y #s(literal -2 binary64))))
(*.f64 (cbrt.f64 (*.f64 x (pow.f64 (/.f64 (sqrt.f64 x) y) #s(literal 4 binary64)))) (cbrt.f64 (pow.f64 y #s(literal -2 binary64))))
(*.f64 (cbrt.f64 (pow.f64 (*.f64 (*.f64 x (pow.f64 y #s(literal -2 binary64))) (cbrt.f64 (*.f64 x (pow.f64 y #s(literal -2 binary64))))) #s(literal 2 binary64))) (cbrt.f64 (cbrt.f64 (*.f64 x (pow.f64 y #s(literal -2 binary64))))))
(*.f64 (cbrt.f64 (pow.f64 (pow.f64 (cbrt.f64 (*.f64 x (pow.f64 y #s(literal -2 binary64)))) #s(literal 4 binary64)) #s(literal 2 binary64))) (cbrt.f64 (cbrt.f64 (*.f64 x (pow.f64 y #s(literal -2 binary64))))))
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (*.f64 x (pow.f64 y #s(literal -2 binary64)))) #s(literal 8 binary64))) (cbrt.f64 (cbrt.f64 (*.f64 x (pow.f64 y #s(literal -2 binary64))))))
(*.f64 (cbrt.f64 (pow.f64 (*.f64 x (pow.f64 y #s(literal -2 binary64))) #s(literal 5/2 binary64))) (cbrt.f64 (/.f64 (sqrt.f64 x) y)))
(pow.f64 (*.f64 x (pow.f64 y #s(literal -2 binary64))) #s(literal 1 binary64))
(/.f64 x (pow.f64 y #s(literal 2 binary64)))
(*.f64 x (pow.f64 y #s(literal -2 binary64)))
(pow.f64 (cbrt.f64 (*.f64 x (pow.f64 y #s(literal -2 binary64)))) #s(literal 3 binary64))
(/.f64 x (pow.f64 y #s(literal 2 binary64)))
(*.f64 x (pow.f64 y #s(literal -2 binary64)))
(pow.f64 (pow.f64 (/.f64 (sqrt.f64 x) y) #s(literal 4 binary64)) #s(literal 1/2 binary64))
(sqrt.f64 (pow.f64 (/.f64 (sqrt.f64 x) y) #s(literal 4 binary64)))
(pow.f64 (pow.f64 (/.f64 (sqrt.f64 x) y) #s(literal 6 binary64)) #s(literal 1/3 binary64))
(cbrt.f64 (pow.f64 (/.f64 (sqrt.f64 x) y) #s(literal 6 binary64)))
(pow.f64 (/.f64 (sqrt.f64 x) y) #s(literal 2 binary64))
(/.f64 x (pow.f64 y #s(literal 2 binary64)))
(*.f64 x (pow.f64 y #s(literal -2 binary64)))
(pow.f64 (/.f64 (pow.f64 y #s(literal 2 binary64)) x) #s(literal -1 binary64))
(/.f64 x (pow.f64 y #s(literal 2 binary64)))
(*.f64 x (pow.f64 y #s(literal -2 binary64)))
(pow.f64 (E.f64) (log.f64 (*.f64 x (pow.f64 y #s(literal -2 binary64)))))
(pow.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 6 binary64))) #s(literal 1/3 binary64))
(cbrt.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 6 binary64))))
(pow.f64 (/.f64 (/.f64 (pow.f64 y #s(literal 2 binary64)) x) #s(literal 1 binary64)) #s(literal -1 binary64))
(/.f64 x (pow.f64 y #s(literal 2 binary64)))
(*.f64 x (pow.f64 y #s(literal -2 binary64)))
(pow.f64 (/.f64 y (/.f64 x y)) #s(literal -1 binary64))
(/.f64 x (pow.f64 y #s(literal 2 binary64)))
(*.f64 x (pow.f64 y #s(literal -2 binary64)))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 x (pow.f64 y #s(literal -2 binary64))))) #s(literal 2 binary64))) (cbrt.f64 (log.f64 (*.f64 x (pow.f64 y #s(literal -2 binary64))))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (*.f64 x (pow.f64 y #s(literal -2 binary64)))))) (sqrt.f64 (log.f64 (*.f64 x (pow.f64 y #s(literal -2 binary64))))))
(neg.f64 (/.f64 x (neg.f64 (pow.f64 y #s(literal 2 binary64)))))
(/.f64 x (pow.f64 y #s(literal 2 binary64)))
(*.f64 x (pow.f64 y #s(literal -2 binary64)))
(neg.f64 (/.f64 (neg.f64 x) (pow.f64 y #s(literal 2 binary64))))
(/.f64 x (pow.f64 y #s(literal 2 binary64)))
(*.f64 x (pow.f64 y #s(literal -2 binary64)))
(sqrt.f64 (pow.f64 (/.f64 (sqrt.f64 x) y) #s(literal 4 binary64)))
(log.f64 (pow.f64 (exp.f64 x) (pow.f64 y #s(literal -2 binary64))))
(/.f64 x (pow.f64 y #s(literal 2 binary64)))
(*.f64 x (pow.f64 y #s(literal -2 binary64)))
(cbrt.f64 (pow.f64 (/.f64 (sqrt.f64 x) y) #s(literal 6 binary64)))
(cbrt.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 6 binary64))))
(expm1.f64 (log1p.f64 (*.f64 x (pow.f64 y #s(literal -2 binary64)))))
(/.f64 x (pow.f64 y #s(literal 2 binary64)))
(*.f64 x (pow.f64 y #s(literal -2 binary64)))
(log1p.f64 (expm1.f64 (*.f64 x (pow.f64 y #s(literal -2 binary64)))))
(/.f64 x (pow.f64 y #s(literal 2 binary64)))
(*.f64 x (pow.f64 y #s(literal -2 binary64)))
(exp.f64 (log.f64 (*.f64 x (pow.f64 y #s(literal -2 binary64)))))
(/.f64 x (pow.f64 y #s(literal 2 binary64)))
(*.f64 x (pow.f64 y #s(literal -2 binary64)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 x (pow.f64 y #s(literal -2 binary64))))) #s(literal 3 binary64)))
(/.f64 x (pow.f64 y #s(literal 2 binary64)))
(*.f64 x (pow.f64 y #s(literal -2 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (/.f64 (sqrt.f64 x) y) #s(literal 6 binary64))) #s(literal 1/3 binary64)))
(cbrt.f64 (pow.f64 (/.f64 (sqrt.f64 x) y) #s(literal 6 binary64)))
(exp.f64 (*.f64 (log.f64 (/.f64 (sqrt.f64 x) y)) #s(literal 2 binary64)))
(/.f64 x (pow.f64 y #s(literal 2 binary64)))
(*.f64 x (pow.f64 y #s(literal -2 binary64)))
(exp.f64 (*.f64 (log.f64 (/.f64 (pow.f64 y #s(literal 2 binary64)) x)) #s(literal -1 binary64)))
(/.f64 x (pow.f64 y #s(literal 2 binary64)))
(*.f64 x (pow.f64 y #s(literal -2 binary64)))
(+.f64 #s(literal 0 binary64) (pow.f64 y #s(literal 2 binary64)))
(pow.f64 y #s(literal 2 binary64))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (pow.f64 y #s(literal 2 binary64)))) #s(literal 2 binary64))) (log.f64 (cbrt.f64 (exp.f64 (pow.f64 y #s(literal 2 binary64))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (pow.f64 y #s(literal 2 binary64))))) (log.f64 (sqrt.f64 (exp.f64 (pow.f64 y #s(literal 2 binary64))))))
(*.f64 #s(literal 2 binary64) (log.f64 (sqrt.f64 (exp.f64 (pow.f64 y #s(literal 2 binary64))))))
(-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))) #s(literal 1 binary64))
(pow.f64 y #s(literal 2 binary64))
(pow.f64 y #s(literal 2 binary64))
(pow.f64 (pow.f64 y #s(literal 2 binary64)) #s(literal 1 binary64))
(pow.f64 y #s(literal 2 binary64))
(pow.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) #s(literal 3 binary64))
(pow.f64 y #s(literal 2 binary64))
(pow.f64 (cbrt.f64 y) #s(literal 6 binary64))
(pow.f64 y #s(literal 2 binary64))
(pow.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1/2 binary64))
(sqrt.f64 (pow.f64 y #s(literal 4 binary64)))
(pow.f64 (pow.f64 y #s(literal 6 binary64)) #s(literal 1/3 binary64))
(cbrt.f64 (pow.f64 y #s(literal 6 binary64)))
(pow.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 2/3 binary64))
(pow.f64 (sqrt.f64 y) #s(literal 4 binary64))
(pow.f64 (E.f64) (*.f64 #s(literal 2 binary64) (log.f64 y)))
(pow.f64 (exp.f64 #s(literal 2 binary64)) (log.f64 y))
(pow.f64 y #s(literal 2 binary64))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (*.f64 #s(literal 2 binary64) (log.f64 y))) #s(literal 2 binary64))) (cbrt.f64 (*.f64 #s(literal 2 binary64) (log.f64 y))))
(pow.f64 (exp.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (log.f64 y)))) (sqrt.f64 (*.f64 #s(literal 2 binary64) (log.f64 y))))
(sqrt.f64 (pow.f64 y #s(literal 4 binary64)))
(log.f64 (exp.f64 (pow.f64 y #s(literal 2 binary64))))
(pow.f64 y #s(literal 2 binary64))
(cbrt.f64 (pow.f64 y #s(literal 6 binary64)))
(expm1.f64 (log1p.f64 (pow.f64 y #s(literal 2 binary64))))
(pow.f64 y #s(literal 2 binary64))
(log1p.f64 (expm1.f64 (pow.f64 y #s(literal 2 binary64))))
(pow.f64 y #s(literal 2 binary64))
(exp.f64 (*.f64 #s(literal 2 binary64) (log.f64 y)))
(pow.f64 y #s(literal 2 binary64))
(exp.f64 (*.f64 (*.f64 #s(literal 2 binary64) (log.f64 (cbrt.f64 y))) #s(literal 3 binary64)))
(pow.f64 y #s(literal 2 binary64))
(exp.f64 (*.f64 (log.f64 (pow.f64 y #s(literal 6 binary64))) #s(literal 1/3 binary64)))
(cbrt.f64 (pow.f64 y #s(literal 6 binary64)))

eval13.0ms (0.3%)

Compiler

Compiled 1280 to 325 computations (74.6% saved)

prune22.0ms (0.6%)

Pruning

5 alts after pruning (4 fresh and 1 done)

PrunedKeptTotal
New1114115
Fresh000
Picked011
Done000
Total1115116
Accuracy
100.0%
Counts
116 → 5
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.5%
(pow.f64 (/.f64 (sqrt.f64 x) y) #s(literal 2 binary64))
99.5%
(pow.f64 (/.f64 y (/.f64 x y)) #s(literal -1 binary64))
85.0%
(/.f64 x (*.f64 y y))
85.5%
(*.f64 (pow.f64 y #s(literal -2 binary64)) x)
99.7%
(*.f64 (/.f64 x y) (/.f64 #s(literal 1 binary64) y))
Compiler

Compiled 40 to 27 computations (32.5% saved)

simplify90.0ms (2.3%)

Algorithm
egg-herbie
Localize:

Found 11 expressions of interest:

NewMetricScoreProgram
cost-diff0
(sqrt.f64 x)
cost-diff0
(/.f64 (sqrt.f64 x) y)
cost-diff12736
(pow.f64 (/.f64 (sqrt.f64 x) y) #s(literal 2 binary64))
cost-diff0
(/.f64 x y)
cost-diff0
(/.f64 y (/.f64 x y))
cost-diff6464
(pow.f64 (/.f64 y (/.f64 x y)) #s(literal -1 binary64))
cost-diff0
(pow.f64 y #s(literal -2 binary64))
cost-diff0
(*.f64 (pow.f64 y #s(literal -2 binary64)) x)
cost-diff0
(/.f64 #s(literal 1 binary64) y)
cost-diff0
(/.f64 x y)
cost-diff128
(*.f64 (/.f64 x y) (/.f64 #s(literal 1 binary64) y))
Rules
48×associate-*r*
31×associate-*l*
20×associate-/r*
18×associate-/r/
16×associate-*r/
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
022232
137214
255214
385214
4114214
5161214
6224214
7254214
Stop Event
saturated
Calls
Call 1
Inputs
(*.f64 (/.f64 x y) (/.f64 #s(literal 1 binary64) y))
(/.f64 x y)
x
y
(/.f64 #s(literal 1 binary64) y)
#s(literal 1 binary64)
(*.f64 (pow.f64 y #s(literal -2 binary64)) x)
(pow.f64 y #s(literal -2 binary64))
y
#s(literal -2 binary64)
x
(pow.f64 (/.f64 y (/.f64 x y)) #s(literal -1 binary64))
(/.f64 y (/.f64 x y))
y
(/.f64 x y)
x
#s(literal -1 binary64)
(pow.f64 (/.f64 (sqrt.f64 x) y) #s(literal 2 binary64))
(/.f64 (sqrt.f64 x) y)
(sqrt.f64 x)
x
y
#s(literal 2 binary64)
Outputs
(*.f64 (/.f64 x y) (/.f64 #s(literal 1 binary64) y))
(/.f64 (*.f64 x (/.f64 #s(literal 1 binary64) y)) y)
(/.f64 (/.f64 x y) y)
(/.f64 x (*.f64 y y))
(/.f64 x y)
x
y
(/.f64 #s(literal 1 binary64) y)
#s(literal 1 binary64)
(*.f64 (pow.f64 y #s(literal -2 binary64)) x)
(*.f64 x (pow.f64 y #s(literal -2 binary64)))
(pow.f64 y #s(literal -2 binary64))
y
#s(literal -2 binary64)
x
(pow.f64 (/.f64 y (/.f64 x y)) #s(literal -1 binary64))
(/.f64 (*.f64 x (/.f64 #s(literal 1 binary64) y)) y)
(/.f64 (/.f64 x y) y)
(/.f64 x (*.f64 y y))
(/.f64 y (/.f64 x y))
(*.f64 (/.f64 y x) y)
(*.f64 y (/.f64 y x))
y
(/.f64 x y)
x
#s(literal -1 binary64)
(pow.f64 (/.f64 (sqrt.f64 x) y) #s(literal 2 binary64))
(/.f64 (*.f64 x (/.f64 #s(literal 1 binary64) y)) y)
(/.f64 (/.f64 x y) y)
(/.f64 x (*.f64 y y))
(/.f64 (sqrt.f64 x) y)
(sqrt.f64 x)
x
y
#s(literal 2 binary64)

localize191.0ms (4.9%)

Localize:

Found 11 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(sqrt.f64 x)
accuracy99.6%
(pow.f64 (/.f64 (sqrt.f64 x) y) #s(literal 2 binary64))
accuracy99.6%
(/.f64 (sqrt.f64 x) y)
accuracy100.0%
(/.f64 x y)
accuracy99.8%
(/.f64 y (/.f64 x y))
accuracy99.5%
(pow.f64 (/.f64 y (/.f64 x y)) #s(literal -1 binary64))
accuracy100.0%
(pow.f64 y #s(literal -2 binary64))
accuracy85.5%
(*.f64 (pow.f64 y #s(literal -2 binary64)) x)
accuracy100.0%
(/.f64 x y)
accuracy100.0%
(/.f64 #s(literal 1 binary64) y)
accuracy99.7%
(*.f64 (/.f64 x y) (/.f64 #s(literal 1 binary64) y))
Results
48.0ms256×0valid
Compiler

Compiled 63 to 17 computations (73% saved)

Precisions
Click to see histograms. Total time spent on operations: 26.0ms
ival-pow: 11.0ms (42.6% of total)
ival-div: 8.0ms (31% of total)
ival-mult: 4.0ms (15.5% of total)
ival-sqrt: 2.0ms (7.7% of total)
const: 1.0ms (3.9% of total)
backward-pass: 0.0ms (0% of total)

series23.0ms (0.6%)

Counts
10 → 160
Calls
Call 1
Inputs
#<alt (*.f64 (/.f64 x y) (/.f64 #s(literal 1 binary64) y))>
#<alt (/.f64 x y)>
#<alt (/.f64 #s(literal 1 binary64) y)>
#<alt (*.f64 (pow.f64 y #s(literal -2 binary64)) x)>
#<alt (pow.f64 y #s(literal -2 binary64))>
#<alt (pow.f64 (/.f64 y (/.f64 x y)) #s(literal -1 binary64))>
#<alt (/.f64 y (/.f64 x y))>
#<alt (pow.f64 (/.f64 (sqrt.f64 x) y) #s(literal 2 binary64))>
#<alt (/.f64 (sqrt.f64 x) y)>
#<alt (sqrt.f64 x)>
Outputs
#<alt (/.f64 x (pow.f64 y #s(literal 2 binary64)))>
#<alt (/.f64 x (pow.f64 y #s(literal 2 binary64)))>
#<alt (/.f64 x (pow.f64 y #s(literal 2 binary64)))>
#<alt (/.f64 x (pow.f64 y #s(literal 2 binary64)))>
#<alt (/.f64 x (pow.f64 y #s(literal 2 binary64)))>
#<alt (/.f64 x (pow.f64 y #s(literal 2 binary64)))>
#<alt (/.f64 x (pow.f64 y #s(literal 2 binary64)))>
#<alt (/.f64 x (pow.f64 y #s(literal 2 binary64)))>
#<alt (/.f64 x (pow.f64 y #s(literal 2 binary64)))>
#<alt (/.f64 x (pow.f64 y #s(literal 2 binary64)))>
#<alt (/.f64 x (pow.f64 y #s(literal 2 binary64)))>
#<alt (/.f64 x (pow.f64 y #s(literal 2 binary64)))>
#<alt (/.f64 x (pow.f64 y #s(literal 2 binary64)))>
#<alt (/.f64 x (pow.f64 y #s(literal 2 binary64)))>
#<alt (/.f64 x (pow.f64 y #s(literal 2 binary64)))>
#<alt (/.f64 x (pow.f64 y #s(literal 2 binary64)))>
#<alt (/.f64 x (pow.f64 y #s(literal 2 binary64)))>
#<alt (/.f64 x (pow.f64 y #s(literal 2 binary64)))>
#<alt (/.f64 x (pow.f64 y #s(literal 2 binary64)))>
#<alt (/.f64 x (pow.f64 y #s(literal 2 binary64)))>
#<alt (/.f64 x (pow.f64 y #s(literal 2 binary64)))>
#<alt (/.f64 x (pow.f64 y #s(literal 2 binary64)))>
#<alt (/.f64 x (pow.f64 y #s(literal 2 binary64)))>
#<alt (/.f64 x (pow.f64 y #s(literal 2 binary64)))>
#<alt (/.f64 x (pow.f64 y #s(literal 2 binary64)))>
#<alt (/.f64 x (pow.f64 y #s(literal 2 binary64)))>
#<alt (/.f64 x (pow.f64 y #s(literal 2 binary64)))>
#<alt (/.f64 x (pow.f64 y #s(literal 2 binary64)))>
#<alt (/.f64 x (pow.f64 y #s(literal 2 binary64)))>
#<alt (/.f64 x (pow.f64 y #s(literal 2 binary64)))>
#<alt (/.f64 x (pow.f64 y #s(literal 2 binary64)))>
#<alt (/.f64 x (pow.f64 y #s(literal 2 binary64)))>
#<alt (/.f64 x (pow.f64 y #s(literal 2 binary64)))>
#<alt (/.f64 x (pow.f64 y #s(literal 2 binary64)))>
#<alt (/.f64 x (pow.f64 y #s(literal 2 binary64)))>
#<alt (/.f64 x (pow.f64 y #s(literal 2 binary64)))>
#<alt (/.f64 x (pow.f64 y #s(literal 2 binary64)))>
#<alt (/.f64 x (pow.f64 y #s(literal 2 binary64)))>
#<alt (/.f64 x (pow.f64 y #s(literal 2 binary64)))>
#<alt (/.f64 x (pow.f64 y #s(literal 2 binary64)))>
#<alt (/.f64 x (pow.f64 y #s(literal 2 binary64)))>
#<alt (/.f64 x (pow.f64 y #s(literal 2 binary64)))>
#<alt (/.f64 x (pow.f64 y #s(literal 2 binary64)))>
#<alt (/.f64 x (pow.f64 y #s(literal 2 binary64)))>
#<alt (/.f64 x (pow.f64 y #s(literal 2 binary64)))>
#<alt (/.f64 x (pow.f64 y #s(literal 2 binary64)))>
#<alt (/.f64 x (pow.f64 y #s(literal 2 binary64)))>
#<alt (/.f64 x (pow.f64 y #s(literal 2 binary64)))>
#<alt (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64)))>
#<alt (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64)))>
#<alt (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64)))>
#<alt (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64)))>
#<alt (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64)))>
#<alt (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64)))>
#<alt (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64)))>
#<alt (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64)))>
#<alt (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64)))>
#<alt (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64)))>
#<alt (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64)))>
#<alt (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64)))>
#<alt (/.f64 x (pow.f64 y #s(literal 2 binary64)))>
#<alt (/.f64 x (pow.f64 y #s(literal 2 binary64)))>
#<alt (/.f64 x (pow.f64 y #s(literal 2 binary64)))>
#<alt (/.f64 x (pow.f64 y #s(literal 2 binary64)))>
#<alt (/.f64 x (pow.f64 y #s(literal 2 binary64)))>
#<alt (/.f64 x (pow.f64 y #s(literal 2 binary64)))>
#<alt (/.f64 x (pow.f64 y #s(literal 2 binary64)))>
#<alt (/.f64 x (pow.f64 y #s(literal 2 binary64)))>
#<alt (/.f64 x (pow.f64 y #s(literal 2 binary64)))>
#<alt (/.f64 x (pow.f64 y #s(literal 2 binary64)))>
#<alt (/.f64 x (pow.f64 y #s(literal 2 binary64)))>
#<alt (/.f64 x (pow.f64 y #s(literal 2 binary64)))>
#<alt (/.f64 x (pow.f64 y #s(literal 2 binary64)))>
#<alt (/.f64 x (pow.f64 y #s(literal 2 binary64)))>
#<alt (/.f64 x (pow.f64 y #s(literal 2 binary64)))>
#<alt (/.f64 x (pow.f64 y #s(literal 2 binary64)))>
#<alt (/.f64 x (pow.f64 y #s(literal 2 binary64)))>
#<alt (/.f64 x (pow.f64 y #s(literal 2 binary64)))>
#<alt (/.f64 x (pow.f64 y #s(literal 2 binary64)))>
#<alt (/.f64 x (pow.f64 y #s(literal 2 binary64)))>
#<alt (/.f64 x (pow.f64 y #s(literal 2 binary64)))>
#<alt (/.f64 x (pow.f64 y #s(literal 2 binary64)))>
#<alt (/.f64 x (pow.f64 y #s(literal 2 binary64)))>
#<alt (/.f64 x (pow.f64 y #s(literal 2 binary64)))>
#<alt (/.f64 (pow.f64 y #s(literal 2 binary64)) x)>
#<alt (/.f64 (pow.f64 y #s(literal 2 binary64)) x)>
#<alt (/.f64 (pow.f64 y #s(literal 2 binary64)) x)>
#<alt (/.f64 (pow.f64 y #s(literal 2 binary64)) x)>
#<alt (/.f64 (pow.f64 y #s(literal 2 binary64)) x)>
#<alt (/.f64 (pow.f64 y #s(literal 2 binary64)) x)>
#<alt (/.f64 (pow.f64 y #s(literal 2 binary64)) x)>
#<alt (/.f64 (pow.f64 y #s(literal 2 binary64)) x)>
#<alt (/.f64 (pow.f64 y #s(literal 2 binary64)) x)>
#<alt (/.f64 (pow.f64 y #s(literal 2 binary64)) x)>
#<alt (/.f64 (pow.f64 y #s(literal 2 binary64)) x)>
#<alt (/.f64 (pow.f64 y #s(literal 2 binary64)) x)>
#<alt (/.f64 (pow.f64 y #s(literal 2 binary64)) x)>
#<alt (/.f64 (pow.f64 y #s(literal 2 binary64)) x)>
#<alt (/.f64 (pow.f64 y #s(literal 2 binary64)) x)>
#<alt (/.f64 (pow.f64 y #s(literal 2 binary64)) x)>
#<alt (/.f64 (pow.f64 y #s(literal 2 binary64)) x)>
#<alt (/.f64 (pow.f64 y #s(literal 2 binary64)) x)>
#<alt (/.f64 (pow.f64 y #s(literal 2 binary64)) x)>
#<alt (/.f64 (pow.f64 y #s(literal 2 binary64)) x)>
#<alt (/.f64 (pow.f64 y #s(literal 2 binary64)) x)>
#<alt (/.f64 (pow.f64 y #s(literal 2 binary64)) x)>
#<alt (/.f64 (pow.f64 y #s(literal 2 binary64)) x)>
#<alt (/.f64 (pow.f64 y #s(literal 2 binary64)) x)>
#<alt (/.f64 x (pow.f64 y #s(literal 2 binary64)))>
#<alt (/.f64 x (pow.f64 y #s(literal 2 binary64)))>
#<alt (/.f64 x (pow.f64 y #s(literal 2 binary64)))>
#<alt (/.f64 x (pow.f64 y #s(literal 2 binary64)))>
#<alt (/.f64 x (pow.f64 y #s(literal 2 binary64)))>
#<alt (/.f64 x (pow.f64 y #s(literal 2 binary64)))>
#<alt (/.f64 x (pow.f64 y #s(literal 2 binary64)))>
#<alt (/.f64 x (pow.f64 y #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (pow.f64 y #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (pow.f64 y #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (pow.f64 y #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (pow.f64 y #s(literal 2 binary64))))>
#<alt (/.f64 x (pow.f64 y #s(literal 2 binary64)))>
#<alt (/.f64 x (pow.f64 y #s(literal 2 binary64)))>
#<alt (/.f64 x (pow.f64 y #s(literal 2 binary64)))>
#<alt (/.f64 x (pow.f64 y #s(literal 2 binary64)))>
#<alt (/.f64 x (pow.f64 y #s(literal 2 binary64)))>
#<alt (/.f64 x (pow.f64 y #s(literal 2 binary64)))>
#<alt (/.f64 x (pow.f64 y #s(literal 2 binary64)))>
#<alt (/.f64 x (pow.f64 y #s(literal 2 binary64)))>
#<alt (/.f64 x (pow.f64 y #s(literal 2 binary64)))>
#<alt (/.f64 x (pow.f64 y #s(literal 2 binary64)))>
#<alt (/.f64 x (pow.f64 y #s(literal 2 binary64)))>
#<alt (/.f64 x (pow.f64 y #s(literal 2 binary64)))>
#<alt (*.f64 (sqrt.f64 x) (/.f64 #s(literal 1 binary64) y))>
#<alt (*.f64 (sqrt.f64 x) (/.f64 #s(literal 1 binary64) y))>
#<alt (*.f64 (sqrt.f64 x) (/.f64 #s(literal 1 binary64) y))>
#<alt (*.f64 (sqrt.f64 x) (/.f64 #s(literal 1 binary64) y))>
#<alt (*.f64 (sqrt.f64 x) (/.f64 #s(literal 1 binary64) y))>
#<alt (*.f64 (sqrt.f64 x) (/.f64 #s(literal 1 binary64) y))>
#<alt (*.f64 (sqrt.f64 x) (/.f64 #s(literal 1 binary64) y))>
#<alt (*.f64 (sqrt.f64 x) (/.f64 #s(literal 1 binary64) y))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 x) (/.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) y)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 x) (/.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) y)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 x) (/.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) y)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 x) (/.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) y)))>
#<alt (*.f64 (sqrt.f64 x) (/.f64 #s(literal 1 binary64) y))>
#<alt (*.f64 (sqrt.f64 x) (/.f64 #s(literal 1 binary64) y))>
#<alt (*.f64 (sqrt.f64 x) (/.f64 #s(literal 1 binary64) y))>
#<alt (*.f64 (sqrt.f64 x) (/.f64 #s(literal 1 binary64) y))>
#<alt (*.f64 (sqrt.f64 x) (/.f64 #s(literal 1 binary64) y))>
#<alt (*.f64 (sqrt.f64 x) (/.f64 #s(literal 1 binary64) y))>
#<alt (*.f64 (sqrt.f64 x) (/.f64 #s(literal 1 binary64) y))>
#<alt (*.f64 (sqrt.f64 x) (/.f64 #s(literal 1 binary64) y))>
#<alt (*.f64 (sqrt.f64 x) (/.f64 #s(literal 1 binary64) y))>
#<alt (*.f64 (sqrt.f64 x) (/.f64 #s(literal 1 binary64) y))>
#<alt (*.f64 (sqrt.f64 x) (/.f64 #s(literal 1 binary64) y))>
#<alt (*.f64 (sqrt.f64 x) (/.f64 #s(literal 1 binary64) y))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 x) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 x) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 x) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 x) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))>
Calls

51 calls:

TimeVariablePointExpression
3.0ms
y
@inf
(/ (sqrt x) y)
2.0ms
x
@-inf
(/ (sqrt x) y)
1.0ms
x
@-inf
(/ x y)
1.0ms
x
@-inf
(pow (/ (sqrt x) y) 2)
1.0ms
x
@0
(/ (sqrt x) y)

rewrite167.0ms (4.3%)

Algorithm
batch-egg-rewrite
Rules
960×log1p-expm1-u
960×expm1-log1p-u
594×log-prod
160×expm1-undefine
160×log1p-undefine
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
022168
1288153
23615153
Stop Event
node limit
Counts
10 → 525
Calls
Call 1
Inputs
(*.f64 (/.f64 x y) (/.f64 #s(literal 1 binary64) y))
(/.f64 x y)
(/.f64 #s(literal 1 binary64) y)
(*.f64 (pow.f64 y #s(literal -2 binary64)) x)
(pow.f64 y #s(literal -2 binary64))
(pow.f64 (/.f64 y (/.f64 x y)) #s(literal -1 binary64))
(/.f64 y (/.f64 x y))
(pow.f64 (/.f64 (sqrt.f64 x) y) #s(literal 2 binary64))
(/.f64 (sqrt.f64 x) y)
(sqrt.f64 x)
Outputs
(+.f64 #s(literal 0 binary64) (/.f64 x (pow.f64 y #s(literal 2 binary64))))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (pow.f64 y #s(literal -2 binary64)))) (cbrt.f64 (pow.f64 (exp.f64 x) (pow.f64 y #s(literal -2 binary64)))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (pow.f64 y #s(literal -2 binary64))))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (pow.f64 y #s(literal -2 binary64))))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (pow.f64 y #s(literal -2 binary64))))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 x (pow.f64 y #s(literal 2 binary64))))) #s(literal 1 binary64))
(/.f64 x (pow.f64 y #s(literal 2 binary64)))
(/.f64 (/.f64 x y) y)
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) x))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (pow.f64 y #s(literal 2 binary64)) x) #s(literal 1 binary64)))
(/.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 y x))
(/.f64 #s(literal -1 binary64) (*.f64 (/.f64 y x) (neg.f64 y)))
(/.f64 #s(literal -1 binary64) (*.f64 (neg.f64 y) (/.f64 y x)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (pow.f64 y #s(literal 2 binary64)) x)))
(/.f64 (sqrt.f64 x) (*.f64 (/.f64 y (sqrt.f64 x)) y))
(/.f64 (sqrt.f64 x) (*.f64 y (/.f64 y (sqrt.f64 x))))
(/.f64 (/.f64 (sqrt.f64 x) y) (/.f64 y (sqrt.f64 x)))
(/.f64 (neg.f64 x) (*.f64 y (neg.f64 y)))
(/.f64 (neg.f64 x) (*.f64 (neg.f64 y) y))
(/.f64 (neg.f64 x) (neg.f64 (pow.f64 y #s(literal 2 binary64))))
(/.f64 (/.f64 x (neg.f64 y)) (neg.f64 y))
(/.f64 (neg.f64 (sqrt.f64 x)) (*.f64 (/.f64 y (sqrt.f64 x)) (neg.f64 y)))
(/.f64 (*.f64 (neg.f64 (sqrt.f64 x)) (neg.f64 (sqrt.f64 x))) (*.f64 (neg.f64 y) (neg.f64 y)))
(/.f64 (*.f64 x #s(literal -1 binary64)) (*.f64 y (neg.f64 y)))
(/.f64 (*.f64 (neg.f64 x) #s(literal 1 binary64)) (*.f64 (neg.f64 y) y))
(/.f64 (*.f64 (neg.f64 x) #s(literal -1 binary64)) (*.f64 (neg.f64 y) (neg.f64 y)))
(/.f64 (*.f64 #s(literal -1 binary64) (neg.f64 x)) (*.f64 (neg.f64 y) (neg.f64 y)))
(/.f64 (*.f64 (neg.f64 (sqrt.f64 x)) #s(literal 1 binary64)) (*.f64 (neg.f64 y) (/.f64 y (sqrt.f64 x))))
(/.f64 (/.f64 (/.f64 x y) (sqrt.f64 y)) (sqrt.f64 y))
(/.f64 (/.f64 (/.f64 x y) #s(literal 1 binary64)) y)
(/.f64 (/.f64 (/.f64 x y) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (cbrt.f64 y))
(/.f64 (*.f64 (/.f64 (sqrt.f64 x) y) (sqrt.f64 x)) y)
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(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) y) (pow.f64 (cbrt.f64 (/.f64 x y)) #s(literal 2 binary64))) (cbrt.f64 (/.f64 x y)))
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) y) (sqrt.f64 (/.f64 x y))) (sqrt.f64 (/.f64 x y)))
(*.f64 (*.f64 (/.f64 (sqrt.f64 x) y) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) y))
(*.f64 (*.f64 (/.f64 (sqrt.f64 x) y) (cbrt.f64 (/.f64 x (pow.f64 y #s(literal 2 binary64))))) (cbrt.f64 (/.f64 (sqrt.f64 x) y)))
(/.f64 x (pow.f64 y #s(literal 2 binary64)))
(/.f64 (/.f64 x y) y)
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) x))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (pow.f64 y #s(literal 2 binary64)) x) #s(literal 1 binary64)))
(/.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 y x))
(/.f64 #s(literal -1 binary64) (*.f64 (/.f64 y x) (neg.f64 y)))
(/.f64 #s(literal -1 binary64) (*.f64 (neg.f64 y) (/.f64 y x)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (pow.f64 y #s(literal 2 binary64)) x)))
(/.f64 (sqrt.f64 x) (*.f64 (/.f64 y (sqrt.f64 x)) y))
(/.f64 (sqrt.f64 x) (*.f64 y (/.f64 y (sqrt.f64 x))))
(/.f64 (/.f64 (sqrt.f64 x) y) (/.f64 y (sqrt.f64 x)))
(/.f64 (neg.f64 x) (*.f64 y (neg.f64 y)))
(/.f64 (neg.f64 x) (*.f64 (neg.f64 y) y))
(/.f64 (neg.f64 x) (neg.f64 (pow.f64 y #s(literal 2 binary64))))
(/.f64 (/.f64 x (neg.f64 y)) (neg.f64 y))
(/.f64 (neg.f64 (sqrt.f64 x)) (*.f64 (/.f64 y (sqrt.f64 x)) (neg.f64 y)))
(/.f64 (*.f64 (neg.f64 (sqrt.f64 x)) (neg.f64 (sqrt.f64 x))) (*.f64 (neg.f64 y) (neg.f64 y)))
(/.f64 (*.f64 x #s(literal -1 binary64)) (*.f64 y (neg.f64 y)))
(/.f64 (*.f64 (neg.f64 x) #s(literal 1 binary64)) (*.f64 (neg.f64 y) y))
(/.f64 (*.f64 (neg.f64 x) #s(literal -1 binary64)) (*.f64 (neg.f64 y) (neg.f64 y)))
(/.f64 (*.f64 #s(literal -1 binary64) (neg.f64 x)) (*.f64 (neg.f64 y) (neg.f64 y)))
(/.f64 (*.f64 (neg.f64 (sqrt.f64 x)) #s(literal 1 binary64)) (*.f64 (neg.f64 y) (/.f64 y (sqrt.f64 x))))
(/.f64 (/.f64 (/.f64 x y) (sqrt.f64 y)) (sqrt.f64 y))
(/.f64 (/.f64 (/.f64 x y) #s(literal 1 binary64)) y)
(/.f64 (/.f64 (/.f64 x y) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (cbrt.f64 y))
(/.f64 (*.f64 (/.f64 (sqrt.f64 x) y) (sqrt.f64 x)) y)
(/.f64 (*.f64 (/.f64 x y) #s(literal -1 binary64)) (neg.f64 y))
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) y) (neg.f64 x)) (neg.f64 y))
(/.f64 (*.f64 (/.f64 (sqrt.f64 x) y) (neg.f64 (sqrt.f64 x))) (neg.f64 y))
(/.f64 (*.f64 (neg.f64 (sqrt.f64 x)) (/.f64 (sqrt.f64 x) y)) (neg.f64 y))
(/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 (/.f64 (pow.f64 y #s(literal 2 binary64)) x)) #s(literal 2 binary64))) (cbrt.f64 (/.f64 (pow.f64 y #s(literal 2 binary64)) x)))
(sqrt.f64 (pow.f64 (/.f64 (sqrt.f64 x) y) #s(literal 4 binary64)))
(log.f64 (pow.f64 (exp.f64 x) (pow.f64 y #s(literal -2 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 x (pow.f64 y #s(literal 2 binary64))))))
(cbrt.f64 (pow.f64 (/.f64 x (pow.f64 y #s(literal 2 binary64))) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (pow.f64 y #s(literal -2 binary64)) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (pow.f64 y #s(literal -2 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 x y) #s(literal 3 binary64)) (pow.f64 y #s(literal -3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 y #s(literal -3 binary64)) (pow.f64 (/.f64 x y) #s(literal 3 binary64))))
(cbrt.f64 (/.f64 (pow.f64 (/.f64 x y) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (/.f64 x (pow.f64 y #s(literal 2 binary64)))))
(log1p.f64 (expm1.f64 (/.f64 x (pow.f64 y #s(literal 2 binary64)))))
(exp.f64 (log.f64 (/.f64 x (pow.f64 y #s(literal 2 binary64)))))
(exp.f64 (*.f64 (log.f64 (/.f64 x (pow.f64 y #s(literal 2 binary64)))) #s(literal 1 binary64)))
(+.f64 #s(literal 0 binary64) (/.f64 (sqrt.f64 x) y))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (/.f64 (sqrt.f64 x) y))) (cbrt.f64 (exp.f64 (/.f64 (sqrt.f64 x) y))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (sqrt.f64 x) y)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (sqrt.f64 x) y)))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (sqrt.f64 x) y)))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (sqrt.f64 x) y))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 x) y))
(*.f64 (/.f64 #s(literal 1 binary64) y) (sqrt.f64 x))
(*.f64 (sqrt.f64 x) (/.f64 #s(literal 1 binary64) y))
(*.f64 (/.f64 (sqrt.f64 x) y) #s(literal 1 binary64))
(*.f64 (cbrt.f64 (/.f64 x (pow.f64 y #s(literal 2 binary64)))) (cbrt.f64 (/.f64 (sqrt.f64 x) y)))
(*.f64 (cbrt.f64 (/.f64 (sqrt.f64 x) y)) (cbrt.f64 (/.f64 x (pow.f64 y #s(literal 2 binary64)))))
(*.f64 (cbrt.f64 x) (/.f64 (cbrt.f64 (sqrt.f64 x)) y))
(*.f64 (cbrt.f64 x) (*.f64 (cbrt.f64 (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) y)))
(*.f64 (pow.f64 x #s(literal 1/4 binary64)) (/.f64 (pow.f64 x #s(literal 1/4 binary64)) y))
(*.f64 (pow.f64 x #s(literal 1/4 binary64)) (*.f64 (pow.f64 x #s(literal 1/4 binary64)) (/.f64 #s(literal 1 binary64) y)))
(*.f64 (sqrt.f64 (/.f64 x y)) (pow.f64 y #s(literal -1/2 binary64)))
(*.f64 (pow.f64 y #s(literal -1/2 binary64)) (sqrt.f64 (/.f64 x y)))
(*.f64 (pow.f64 y #s(literal -1/2 binary64)) (pow.f64 (/.f64 y x) #s(literal -1/2 binary64)))
(*.f64 (sqrt.f64 (/.f64 (sqrt.f64 x) y)) (sqrt.f64 (/.f64 (sqrt.f64 x) y)))
(*.f64 (neg.f64 (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (neg.f64 y)))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal -1/2 binary64)) (/.f64 (sqrt.f64 x) y))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (/.f64 (pow.f64 y #s(literal 2 binary64)) x)) #s(literal 2 binary64)) #s(literal -1/2 binary64)) (pow.f64 (cbrt.f64 (/.f64 (pow.f64 y #s(literal 2 binary64)) x)) #s(literal -1/2 binary64)))
(*.f64 (pow.f64 (/.f64 y (sqrt.f64 x)) #s(literal -1/2 binary64)) (pow.f64 (/.f64 y (sqrt.f64 x)) #s(literal -1/2 binary64)))
(*.f64 (pow.f64 (/.f64 y x) #s(literal -1/2 binary64)) (pow.f64 y #s(literal -1/2 binary64)))
(*.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (/.f64 (sqrt.f64 x) y) #s(literal 4 binary64)))) (sqrt.f64 (cbrt.f64 (/.f64 x (pow.f64 y #s(literal 2 binary64))))))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (/.f64 (sqrt.f64 x) (cbrt.f64 y)))
(*.f64 (/.f64 (cbrt.f64 x) (sqrt.f64 y)) (/.f64 (cbrt.f64 (sqrt.f64 x)) (sqrt.f64 y)))
(*.f64 (/.f64 (cbrt.f64 x) #s(literal 1 binary64)) (/.f64 (cbrt.f64 (sqrt.f64 x)) y))
(*.f64 (/.f64 (pow.f64 x #s(literal 1/4 binary64)) #s(literal 1 binary64)) (/.f64 (pow.f64 x #s(literal 1/4 binary64)) y))
(*.f64 (/.f64 (pow.f64 x #s(literal 1/4 binary64)) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (/.f64 (pow.f64 x #s(literal 1/4 binary64)) (cbrt.f64 y)))
(*.f64 (pow.f64 (/.f64 (pow.f64 y #s(literal 2 binary64)) x) #s(literal -1/4 binary64)) (pow.f64 (/.f64 (pow.f64 y #s(literal 2 binary64)) x) #s(literal -1/4 binary64)))
(*.f64 (*.f64 (sqrt.f64 x) (cbrt.f64 (pow.f64 y #s(literal -2 binary64)))) (/.f64 #s(literal 1 binary64) (cbrt.f64 y)))
(pow.f64 (/.f64 (pow.f64 y #s(literal 2 binary64)) x) #s(literal -1/2 binary64))
(pow.f64 (/.f64 (sqrt.f64 x) y) #s(literal 1 binary64))
(pow.f64 (/.f64 x (pow.f64 y #s(literal 2 binary64))) #s(literal 1/2 binary64))
(pow.f64 (cbrt.f64 (/.f64 (sqrt.f64 x) y)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (/.f64 (sqrt.f64 x) y) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (/.f64 (sqrt.f64 x) y)) #s(literal 2 binary64))
(pow.f64 (/.f64 y (sqrt.f64 x)) #s(literal -1 binary64))
(neg.f64 (/.f64 (sqrt.f64 x) (neg.f64 y)))
(neg.f64 (/.f64 (neg.f64 (sqrt.f64 x)) y))
(sqrt.f64 (/.f64 x (pow.f64 y #s(literal 2 binary64))))
(fabs.f64 (/.f64 (sqrt.f64 x) y))
(log.f64 (exp.f64 (/.f64 (sqrt.f64 x) y)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 (sqrt.f64 x) y))))
(cbrt.f64 (pow.f64 (/.f64 (sqrt.f64 x) y) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 y #s(literal -3 binary64))))
(cbrt.f64 (/.f64 (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 y #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (/.f64 (sqrt.f64 x) y)))
(log1p.f64 (expm1.f64 (/.f64 (sqrt.f64 x) y)))
(exp.f64 (log.f64 (/.f64 (sqrt.f64 x) y)))
(exp.f64 (*.f64 (log.f64 (/.f64 (pow.f64 y #s(literal 2 binary64)) x)) #s(literal -1/2 binary64)))
(exp.f64 (*.f64 (log.f64 (/.f64 (sqrt.f64 x) y)) #s(literal 1 binary64)))
(+.f64 #s(literal 0 binary64) (sqrt.f64 x))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (sqrt.f64 x))) (cbrt.f64 (exp.f64 (sqrt.f64 x))))) (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 (exp.f64 (log1p.f64 (sqrt.f64 x))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (sqrt.f64 x))
(*.f64 (sqrt.f64 x) #s(literal 1 binary64))
(*.f64 (cbrt.f64 (sqrt.f64 x)) (cbrt.f64 x))
(*.f64 (cbrt.f64 x) (cbrt.f64 (sqrt.f64 x)))
(*.f64 (pow.f64 x #s(literal 1/4 binary64)) (pow.f64 x #s(literal 1/4 binary64)))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/2 binary64)) (sqrt.f64 x))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) #s(literal 1/2 binary64)) (pow.f64 (cbrt.f64 x) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (sqrt.f64 (cbrt.f64 x)))
(pow.f64 x #s(literal 1/2 binary64))
(pow.f64 (sqrt.f64 x) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (sqrt.f64 x)) #s(literal 3 binary64))
(pow.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 1/3 binary64))
(pow.f64 (pow.f64 x #s(literal 1/4 binary64)) #s(literal 2 binary64))
(fabs.f64 (sqrt.f64 x))
(log.f64 (exp.f64 (sqrt.f64 x)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (sqrt.f64 x))))
(cbrt.f64 (pow.f64 x #s(literal 3/2 binary64)))
(expm1.f64 (log1p.f64 (sqrt.f64 x)))
(log1p.f64 (expm1.f64 (sqrt.f64 x)))
(exp.f64 (log.f64 (sqrt.f64 x)))
(exp.f64 (*.f64 (log.f64 x) #s(literal 1/2 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 x)) #s(literal 1 binary64)))

simplify267.0ms (6.9%)

Algorithm
egg-herbie
Rules
557×cube-prod
541×exp-prod
444×associate-*r*
387×associate-*l*
283×prod-exp
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
066615264
1132414507
2533614489
Stop Event
node limit
Counts
685 → 387
Calls
Call 1
Inputs
(/.f64 x (pow.f64 y #s(literal 2 binary64)))
(/.f64 x (pow.f64 y #s(literal 2 binary64)))
(/.f64 x (pow.f64 y #s(literal 2 binary64)))
(/.f64 x (pow.f64 y #s(literal 2 binary64)))
(/.f64 x (pow.f64 y #s(literal 2 binary64)))
(/.f64 x (pow.f64 y #s(literal 2 binary64)))
(/.f64 x (pow.f64 y #s(literal 2 binary64)))
(/.f64 x (pow.f64 y #s(literal 2 binary64)))
(/.f64 x (pow.f64 y #s(literal 2 binary64)))
(/.f64 x (pow.f64 y #s(literal 2 binary64)))
(/.f64 x (pow.f64 y #s(literal 2 binary64)))
(/.f64 x (pow.f64 y #s(literal 2 binary64)))
(/.f64 x (pow.f64 y #s(literal 2 binary64)))
(/.f64 x (pow.f64 y #s(literal 2 binary64)))
(/.f64 x (pow.f64 y #s(literal 2 binary64)))
(/.f64 x (pow.f64 y #s(literal 2 binary64)))
(/.f64 x (pow.f64 y #s(literal 2 binary64)))
(/.f64 x (pow.f64 y #s(literal 2 binary64)))
(/.f64 x (pow.f64 y #s(literal 2 binary64)))
(/.f64 x (pow.f64 y #s(literal 2 binary64)))
(/.f64 x (pow.f64 y #s(literal 2 binary64)))
(/.f64 x (pow.f64 y #s(literal 2 binary64)))
(/.f64 x (pow.f64 y #s(literal 2 binary64)))
(/.f64 x (pow.f64 y #s(literal 2 binary64)))
(/.f64 x (pow.f64 y #s(literal 2 binary64)))
(/.f64 x (pow.f64 y #s(literal 2 binary64)))
(/.f64 x (pow.f64 y #s(literal 2 binary64)))
(/.f64 x (pow.f64 y #s(literal 2 binary64)))
(/.f64 x (pow.f64 y #s(literal 2 binary64)))
(/.f64 x (pow.f64 y #s(literal 2 binary64)))
(/.f64 x (pow.f64 y #s(literal 2 binary64)))
(/.f64 x (pow.f64 y #s(literal 2 binary64)))
(/.f64 x (pow.f64 y #s(literal 2 binary64)))
(/.f64 x (pow.f64 y #s(literal 2 binary64)))
(/.f64 x (pow.f64 y #s(literal 2 binary64)))
(/.f64 x (pow.f64 y #s(literal 2 binary64)))
(/.f64 x (pow.f64 y #s(literal 2 binary64)))
(/.f64 x (pow.f64 y #s(literal 2 binary64)))
(/.f64 x (pow.f64 y #s(literal 2 binary64)))
(/.f64 x (pow.f64 y #s(literal 2 binary64)))
(/.f64 x (pow.f64 y #s(literal 2 binary64)))
(/.f64 x (pow.f64 y #s(literal 2 binary64)))
(/.f64 x (pow.f64 y #s(literal 2 binary64)))
(/.f64 x (pow.f64 y #s(literal 2 binary64)))
(/.f64 x (pow.f64 y #s(literal 2 binary64)))
(/.f64 x (pow.f64 y #s(literal 2 binary64)))
(/.f64 x (pow.f64 y #s(literal 2 binary64)))
(/.f64 x (pow.f64 y #s(literal 2 binary64)))
(/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64)))
(/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64)))
(/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64)))
(/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64)))
(/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64)))
(/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64)))
(/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64)))
(/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64)))
(/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64)))
(/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64)))
(/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64)))
(/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64)))
(/.f64 x (pow.f64 y #s(literal 2 binary64)))
(/.f64 x (pow.f64 y #s(literal 2 binary64)))
(/.f64 x (pow.f64 y #s(literal 2 binary64)))
(/.f64 x (pow.f64 y #s(literal 2 binary64)))
(/.f64 x (pow.f64 y #s(literal 2 binary64)))
(/.f64 x (pow.f64 y #s(literal 2 binary64)))
(/.f64 x (pow.f64 y #s(literal 2 binary64)))
(/.f64 x (pow.f64 y #s(literal 2 binary64)))
(/.f64 x (pow.f64 y #s(literal 2 binary64)))
(/.f64 x (pow.f64 y #s(literal 2 binary64)))
(/.f64 x (pow.f64 y #s(literal 2 binary64)))
(/.f64 x (pow.f64 y #s(literal 2 binary64)))
(/.f64 x (pow.f64 y #s(literal 2 binary64)))
(/.f64 x (pow.f64 y #s(literal 2 binary64)))
(/.f64 x (pow.f64 y #s(literal 2 binary64)))
(/.f64 x (pow.f64 y #s(literal 2 binary64)))
(/.f64 x (pow.f64 y #s(literal 2 binary64)))
(/.f64 x (pow.f64 y #s(literal 2 binary64)))
(/.f64 x (pow.f64 y #s(literal 2 binary64)))
(/.f64 x (pow.f64 y #s(literal 2 binary64)))
(/.f64 x (pow.f64 y #s(literal 2 binary64)))
(/.f64 x (pow.f64 y #s(literal 2 binary64)))
(/.f64 x (pow.f64 y #s(literal 2 binary64)))
(/.f64 x (pow.f64 y #s(literal 2 binary64)))
(/.f64 (pow.f64 y #s(literal 2 binary64)) x)
(/.f64 (pow.f64 y #s(literal 2 binary64)) x)
(/.f64 (pow.f64 y #s(literal 2 binary64)) x)
(/.f64 (pow.f64 y #s(literal 2 binary64)) x)
(/.f64 (pow.f64 y #s(literal 2 binary64)) x)
(/.f64 (pow.f64 y #s(literal 2 binary64)) x)
(/.f64 (pow.f64 y #s(literal 2 binary64)) x)
(/.f64 (pow.f64 y #s(literal 2 binary64)) x)
(/.f64 (pow.f64 y #s(literal 2 binary64)) x)
(/.f64 (pow.f64 y #s(literal 2 binary64)) x)
(/.f64 (pow.f64 y #s(literal 2 binary64)) x)
(/.f64 (pow.f64 y #s(literal 2 binary64)) x)
(/.f64 (pow.f64 y #s(literal 2 binary64)) x)
(/.f64 (pow.f64 y #s(literal 2 binary64)) x)
(/.f64 (pow.f64 y #s(literal 2 binary64)) x)
(/.f64 (pow.f64 y #s(literal 2 binary64)) x)
(/.f64 (pow.f64 y #s(literal 2 binary64)) x)
(/.f64 (pow.f64 y #s(literal 2 binary64)) x)
(/.f64 (pow.f64 y #s(literal 2 binary64)) x)
(/.f64 (pow.f64 y #s(literal 2 binary64)) x)
(/.f64 (pow.f64 y #s(literal 2 binary64)) x)
(/.f64 (pow.f64 y #s(literal 2 binary64)) x)
(/.f64 (pow.f64 y #s(literal 2 binary64)) x)
(/.f64 (pow.f64 y #s(literal 2 binary64)) x)
(/.f64 x (pow.f64 y #s(literal 2 binary64)))
(/.f64 x (pow.f64 y #s(literal 2 binary64)))
(/.f64 x (pow.f64 y #s(literal 2 binary64)))
(/.f64 x (pow.f64 y #s(literal 2 binary64)))
(/.f64 x (pow.f64 y #s(literal 2 binary64)))
(/.f64 x (pow.f64 y #s(literal 2 binary64)))
(/.f64 x (pow.f64 y #s(literal 2 binary64)))
(/.f64 x (pow.f64 y #s(literal 2 binary64)))
(*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (pow.f64 y #s(literal 2 binary64))))
(*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (pow.f64 y #s(literal 2 binary64))))
(*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (pow.f64 y #s(literal 2 binary64))))
(*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (pow.f64 y #s(literal 2 binary64))))
(/.f64 x (pow.f64 y #s(literal 2 binary64)))
(/.f64 x (pow.f64 y #s(literal 2 binary64)))
(/.f64 x (pow.f64 y #s(literal 2 binary64)))
(/.f64 x (pow.f64 y #s(literal 2 binary64)))
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(-.f64 (exp.f64 (log1p.f64 (/.f64 x (pow.f64 y #s(literal 2 binary64))))) #s(literal 1 binary64))
(*.f64 x (pow.f64 y #s(literal -2 binary64)))
(*.f64 (/.f64 x y) (/.f64 #s(literal 1 binary64) y))
(*.f64 #s(literal 1 binary64) (/.f64 x (pow.f64 y #s(literal 2 binary64))))
(*.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 x y))
(*.f64 (pow.f64 y #s(literal -2 binary64)) x)
(*.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (pow.f64 y #s(literal -2 binary64))))
(*.f64 (sqrt.f64 x) (*.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 (sqrt.f64 x) y)))
(*.f64 (/.f64 (sqrt.f64 x) y) (/.f64 (sqrt.f64 x) y))
(*.f64 (/.f64 x (pow.f64 y #s(literal 2 binary64))) #s(literal 1 binary64))
(*.f64 (cbrt.f64 (/.f64 x (pow.f64 y #s(literal 2 binary64)))) (cbrt.f64 (pow.f64 (/.f64 (sqrt.f64 x) y) #s(literal 4 binary64))))
(*.f64 (cbrt.f64 (/.f64 x (pow.f64 y #s(literal 2 binary64)))) (*.f64 (cbrt.f64 (/.f64 (sqrt.f64 x) y)) (/.f64 (sqrt.f64 x) y)))
(*.f64 (cbrt.f64 (pow.f64 y #s(literal -2 binary64))) (*.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 y)) (/.f64 x y)))
(*.f64 (cbrt.f64 (pow.f64 y #s(literal -4 binary64))) (*.f64 (cbrt.f64 (pow.f64 y #s(literal -2 binary64))) x))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 x y)) #s(literal 2 binary64)) (/.f64 (cbrt.f64 (/.f64 x y)) y))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 x y)) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (/.f64 x y)) (/.f64 #s(literal 1 binary64) y)))
(*.f64 (cbrt.f64 (pow.f64 (/.f64 (sqrt.f64 x) y) #s(literal 4 binary64))) (cbrt.f64 (/.f64 x (pow.f64 y #s(literal 2 binary64)))))
(*.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (*.f64 (cbrt.f64 x) (pow.f64 y #s(literal -2 binary64))))
(*.f64 (sqrt.f64 (/.f64 x y)) (/.f64 (sqrt.f64 (/.f64 x y)) y))
(*.f64 (sqrt.f64 (/.f64 x y)) (*.f64 (sqrt.f64 (/.f64 x y)) (/.f64 #s(literal 1 binary64) y)))
(*.f64 (pow.f64 y #s(literal -1/2 binary64)) (/.f64 (/.f64 x y) (sqrt.f64 y)))
(*.f64 (pow.f64 y #s(literal -1/2 binary64)) (*.f64 (pow.f64 y #s(literal -1/2 binary64)) (/.f64 x y)))
(*.f64 (sqrt.f64 (/.f64 (sqrt.f64 x) y)) (*.f64 (sqrt.f64 (/.f64 (sqrt.f64 x) y)) (/.f64 (sqrt.f64 x) y)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (/.f64 (pow.f64 y #s(literal 2 binary64)) x)) #s(literal 2 binary64)) #s(literal -1 binary64)) (pow.f64 (cbrt.f64 (/.f64 (pow.f64 y #s(literal 2 binary64)) x)) #s(literal -1 binary64)))
(*.f64 (*.f64 (/.f64 (sqrt.f64 x) y) (sqrt.f64 (/.f64 (sqrt.f64 x) y))) (sqrt.f64 (/.f64 (sqrt.f64 x) y)))
(*.f64 (/.f64 x #s(literal 1 binary64)) (pow.f64 y #s(literal -2 binary64)))
(*.f64 (/.f64 x (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) y) (cbrt.f64 y)))
(*.f64 (/.f64 x (sqrt.f64 y)) (/.f64 (/.f64 #s(literal 1 binary64) y) (sqrt.f64 y)))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (/.f64 (/.f64 x y) (cbrt.f64 y)))
(*.f64 (/.f64 (/.f64 x y) (sqrt.f64 y)) (pow.f64 y #s(literal -1/2 binary64)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 x y)) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (cbrt.f64 (/.f64 x y)) y))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 x y)) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (cbrt.f64 (/.f64 x (pow.f64 y #s(literal 2 binary64)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 x y)) #s(literal 2 binary64)) (sqrt.f64 y)) (/.f64 (cbrt.f64 (/.f64 x y)) (sqrt.f64 y)))
(*.f64 (/.f64 (sqrt.f64 (/.f64 x y)) #s(literal 1 binary64)) (/.f64 (sqrt.f64 (/.f64 x y)) y))
(*.f64 (/.f64 (sqrt.f64 (/.f64 x y)) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (/.f64 (sqrt.f64 (/.f64 x y)) (cbrt.f64 y)))
(*.f64 (/.f64 (/.f64 x y) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) y))
(*.f64 (/.f64 (/.f64 x y) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (cbrt.f64 y)))
(*.f64 (/.f64 #s(literal 1 binary64) (neg.f64 y)) (/.f64 x (neg.f64 y)))
(*.f64 (*.f64 x (cbrt.f64 (pow.f64 y #s(literal -4 binary64)))) (cbrt.f64 (pow.f64 y #s(literal -2 binary64))))
(*.f64 (*.f64 (pow.f64 y #s(literal -2 binary64)) (sqrt.f64 x)) (sqrt.f64 x))
(*.f64 (*.f64 (pow.f64 y #s(literal -2 binary64)) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 x))
(*.f64 (*.f64 (/.f64 x y) (cbrt.f64 (pow.f64 y #s(literal -2 binary64)))) (/.f64 #s(literal 1 binary64) (cbrt.f64 y)))
(*.f64 (*.f64 (/.f64 x y) (pow.f64 y #s(literal -1/2 binary64))) (pow.f64 y #s(literal -1/2 binary64)))
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) y) (pow.f64 (cbrt.f64 (/.f64 x y)) #s(literal 2 binary64))) (cbrt.f64 (/.f64 x y)))
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) y) (sqrt.f64 (/.f64 x y))) (sqrt.f64 (/.f64 x y)))
(*.f64 (*.f64 (/.f64 (sqrt.f64 x) y) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) y))
(*.f64 (*.f64 (/.f64 (sqrt.f64 x) y) (cbrt.f64 (/.f64 x (pow.f64 y #s(literal 2 binary64))))) (cbrt.f64 (/.f64 (sqrt.f64 x) y)))
(/.f64 x (pow.f64 y #s(literal 2 binary64)))
(/.f64 (/.f64 x y) y)
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) x))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (pow.f64 y #s(literal 2 binary64)) x) #s(literal 1 binary64)))
(/.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 y x))
(/.f64 #s(literal -1 binary64) (*.f64 (/.f64 y x) (neg.f64 y)))
(/.f64 #s(literal -1 binary64) (*.f64 (neg.f64 y) (/.f64 y x)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (pow.f64 y #s(literal 2 binary64)) x)))
(/.f64 (sqrt.f64 x) (*.f64 (/.f64 y (sqrt.f64 x)) y))
(/.f64 (sqrt.f64 x) (*.f64 y (/.f64 y (sqrt.f64 x))))
(/.f64 (/.f64 (sqrt.f64 x) y) (/.f64 y (sqrt.f64 x)))
(/.f64 (neg.f64 x) (*.f64 y (neg.f64 y)))
(/.f64 (neg.f64 x) (*.f64 (neg.f64 y) y))
(/.f64 (neg.f64 x) (neg.f64 (pow.f64 y #s(literal 2 binary64))))
(/.f64 (/.f64 x (neg.f64 y)) (neg.f64 y))
(/.f64 (neg.f64 (sqrt.f64 x)) (*.f64 (/.f64 y (sqrt.f64 x)) (neg.f64 y)))
(/.f64 (*.f64 (neg.f64 (sqrt.f64 x)) (neg.f64 (sqrt.f64 x))) (*.f64 (neg.f64 y) (neg.f64 y)))
(/.f64 (*.f64 x #s(literal -1 binary64)) (*.f64 y (neg.f64 y)))
(/.f64 (*.f64 (neg.f64 x) #s(literal 1 binary64)) (*.f64 (neg.f64 y) y))
(/.f64 (*.f64 (neg.f64 x) #s(literal -1 binary64)) (*.f64 (neg.f64 y) (neg.f64 y)))
(/.f64 (*.f64 #s(literal -1 binary64) (neg.f64 x)) (*.f64 (neg.f64 y) (neg.f64 y)))
(/.f64 (*.f64 (neg.f64 (sqrt.f64 x)) #s(literal 1 binary64)) (*.f64 (neg.f64 y) (/.f64 y (sqrt.f64 x))))
(/.f64 (/.f64 (/.f64 x y) (sqrt.f64 y)) (sqrt.f64 y))
(/.f64 (/.f64 (/.f64 x y) #s(literal 1 binary64)) y)
(/.f64 (/.f64 (/.f64 x y) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (cbrt.f64 y))
(/.f64 (*.f64 (/.f64 (sqrt.f64 x) y) (sqrt.f64 x)) y)
(/.f64 (*.f64 (/.f64 x y) #s(literal -1 binary64)) (neg.f64 y))
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) y) (neg.f64 x)) (neg.f64 y))
(/.f64 (*.f64 (/.f64 (sqrt.f64 x) y) (neg.f64 (sqrt.f64 x))) (neg.f64 y))
(/.f64 (*.f64 (neg.f64 (sqrt.f64 x)) (/.f64 (sqrt.f64 x) y)) (neg.f64 y))
(/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 (/.f64 (pow.f64 y #s(literal 2 binary64)) x)) #s(literal 2 binary64))) (cbrt.f64 (/.f64 (pow.f64 y #s(literal 2 binary64)) x)))
(sqrt.f64 (pow.f64 (/.f64 (sqrt.f64 x) y) #s(literal 4 binary64)))
(log.f64 (pow.f64 (exp.f64 x) (pow.f64 y #s(literal -2 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 x (pow.f64 y #s(literal 2 binary64))))))
(cbrt.f64 (pow.f64 (/.f64 x (pow.f64 y #s(literal 2 binary64))) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (pow.f64 y #s(literal -2 binary64)) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (pow.f64 y #s(literal -2 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 x y) #s(literal 3 binary64)) (pow.f64 y #s(literal -3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 y #s(literal -3 binary64)) (pow.f64 (/.f64 x y) #s(literal 3 binary64))))
(cbrt.f64 (/.f64 (pow.f64 (/.f64 x y) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (/.f64 x (pow.f64 y #s(literal 2 binary64)))))
(log1p.f64 (expm1.f64 (/.f64 x (pow.f64 y #s(literal 2 binary64)))))
(exp.f64 (log.f64 (/.f64 x (pow.f64 y #s(literal 2 binary64)))))
(exp.f64 (*.f64 (log.f64 (/.f64 x (pow.f64 y #s(literal 2 binary64)))) #s(literal 1 binary64)))
(+.f64 #s(literal 0 binary64) (/.f64 (sqrt.f64 x) y))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (/.f64 (sqrt.f64 x) y))) (cbrt.f64 (exp.f64 (/.f64 (sqrt.f64 x) y))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (sqrt.f64 x) y)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (sqrt.f64 x) y)))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (sqrt.f64 x) y)))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (sqrt.f64 x) y))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 x) y))
(*.f64 (/.f64 #s(literal 1 binary64) y) (sqrt.f64 x))
(*.f64 (sqrt.f64 x) (/.f64 #s(literal 1 binary64) y))
(*.f64 (/.f64 (sqrt.f64 x) y) #s(literal 1 binary64))
(*.f64 (cbrt.f64 (/.f64 x (pow.f64 y #s(literal 2 binary64)))) (cbrt.f64 (/.f64 (sqrt.f64 x) y)))
(*.f64 (cbrt.f64 (/.f64 (sqrt.f64 x) y)) (cbrt.f64 (/.f64 x (pow.f64 y #s(literal 2 binary64)))))
(*.f64 (cbrt.f64 x) (/.f64 (cbrt.f64 (sqrt.f64 x)) y))
(*.f64 (cbrt.f64 x) (*.f64 (cbrt.f64 (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) y)))
(*.f64 (pow.f64 x #s(literal 1/4 binary64)) (/.f64 (pow.f64 x #s(literal 1/4 binary64)) y))
(*.f64 (pow.f64 x #s(literal 1/4 binary64)) (*.f64 (pow.f64 x #s(literal 1/4 binary64)) (/.f64 #s(literal 1 binary64) y)))
(*.f64 (sqrt.f64 (/.f64 x y)) (pow.f64 y #s(literal -1/2 binary64)))
(*.f64 (pow.f64 y #s(literal -1/2 binary64)) (sqrt.f64 (/.f64 x y)))
(*.f64 (pow.f64 y #s(literal -1/2 binary64)) (pow.f64 (/.f64 y x) #s(literal -1/2 binary64)))
(*.f64 (sqrt.f64 (/.f64 (sqrt.f64 x) y)) (sqrt.f64 (/.f64 (sqrt.f64 x) y)))
(*.f64 (neg.f64 (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (neg.f64 y)))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal -1/2 binary64)) (/.f64 (sqrt.f64 x) y))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (/.f64 (pow.f64 y #s(literal 2 binary64)) x)) #s(literal 2 binary64)) #s(literal -1/2 binary64)) (pow.f64 (cbrt.f64 (/.f64 (pow.f64 y #s(literal 2 binary64)) x)) #s(literal -1/2 binary64)))
(*.f64 (pow.f64 (/.f64 y (sqrt.f64 x)) #s(literal -1/2 binary64)) (pow.f64 (/.f64 y (sqrt.f64 x)) #s(literal -1/2 binary64)))
(*.f64 (pow.f64 (/.f64 y x) #s(literal -1/2 binary64)) (pow.f64 y #s(literal -1/2 binary64)))
(*.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (/.f64 (sqrt.f64 x) y) #s(literal 4 binary64)))) (sqrt.f64 (cbrt.f64 (/.f64 x (pow.f64 y #s(literal 2 binary64))))))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (/.f64 (sqrt.f64 x) (cbrt.f64 y)))
(*.f64 (/.f64 (cbrt.f64 x) (sqrt.f64 y)) (/.f64 (cbrt.f64 (sqrt.f64 x)) (sqrt.f64 y)))
(*.f64 (/.f64 (cbrt.f64 x) #s(literal 1 binary64)) (/.f64 (cbrt.f64 (sqrt.f64 x)) y))
(*.f64 (/.f64 (pow.f64 x #s(literal 1/4 binary64)) #s(literal 1 binary64)) (/.f64 (pow.f64 x #s(literal 1/4 binary64)) y))
(*.f64 (/.f64 (pow.f64 x #s(literal 1/4 binary64)) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (/.f64 (pow.f64 x #s(literal 1/4 binary64)) (cbrt.f64 y)))
(*.f64 (pow.f64 (/.f64 (pow.f64 y #s(literal 2 binary64)) x) #s(literal -1/4 binary64)) (pow.f64 (/.f64 (pow.f64 y #s(literal 2 binary64)) x) #s(literal -1/4 binary64)))
(*.f64 (*.f64 (sqrt.f64 x) (cbrt.f64 (pow.f64 y #s(literal -2 binary64)))) (/.f64 #s(literal 1 binary64) (cbrt.f64 y)))
(pow.f64 (/.f64 (pow.f64 y #s(literal 2 binary64)) x) #s(literal -1/2 binary64))
(pow.f64 (/.f64 (sqrt.f64 x) y) #s(literal 1 binary64))
(pow.f64 (/.f64 x (pow.f64 y #s(literal 2 binary64))) #s(literal 1/2 binary64))
(pow.f64 (cbrt.f64 (/.f64 (sqrt.f64 x) y)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (/.f64 (sqrt.f64 x) y) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (/.f64 (sqrt.f64 x) y)) #s(literal 2 binary64))
(pow.f64 (/.f64 y (sqrt.f64 x)) #s(literal -1 binary64))
(neg.f64 (/.f64 (sqrt.f64 x) (neg.f64 y)))
(neg.f64 (/.f64 (neg.f64 (sqrt.f64 x)) y))
(sqrt.f64 (/.f64 x (pow.f64 y #s(literal 2 binary64))))
(fabs.f64 (/.f64 (sqrt.f64 x) y))
(log.f64 (exp.f64 (/.f64 (sqrt.f64 x) y)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 (sqrt.f64 x) y))))
(cbrt.f64 (pow.f64 (/.f64 (sqrt.f64 x) y) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 y #s(literal -3 binary64))))
(cbrt.f64 (/.f64 (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 y #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (/.f64 (sqrt.f64 x) y)))
(log1p.f64 (expm1.f64 (/.f64 (sqrt.f64 x) y)))
(exp.f64 (log.f64 (/.f64 (sqrt.f64 x) y)))
(exp.f64 (*.f64 (log.f64 (/.f64 (pow.f64 y #s(literal 2 binary64)) x)) #s(literal -1/2 binary64)))
(exp.f64 (*.f64 (log.f64 (/.f64 (sqrt.f64 x) y)) #s(literal 1 binary64)))
(+.f64 #s(literal 0 binary64) (sqrt.f64 x))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (sqrt.f64 x))) (cbrt.f64 (exp.f64 (sqrt.f64 x))))) (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 (exp.f64 (log1p.f64 (sqrt.f64 x))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (sqrt.f64 x))
(*.f64 (sqrt.f64 x) #s(literal 1 binary64))
(*.f64 (cbrt.f64 (sqrt.f64 x)) (cbrt.f64 x))
(*.f64 (cbrt.f64 x) (cbrt.f64 (sqrt.f64 x)))
(*.f64 (pow.f64 x #s(literal 1/4 binary64)) (pow.f64 x #s(literal 1/4 binary64)))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/2 binary64)) (sqrt.f64 x))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) #s(literal 1/2 binary64)) (pow.f64 (cbrt.f64 x) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (sqrt.f64 (cbrt.f64 x)))
(pow.f64 x #s(literal 1/2 binary64))
(pow.f64 (sqrt.f64 x) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (sqrt.f64 x)) #s(literal 3 binary64))
(pow.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 1/3 binary64))
(pow.f64 (pow.f64 x #s(literal 1/4 binary64)) #s(literal 2 binary64))
(fabs.f64 (sqrt.f64 x))
(log.f64 (exp.f64 (sqrt.f64 x)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (sqrt.f64 x))))
(cbrt.f64 (pow.f64 x #s(literal 3/2 binary64)))
(expm1.f64 (log1p.f64 (sqrt.f64 x)))
(log1p.f64 (expm1.f64 (sqrt.f64 x)))
(exp.f64 (log.f64 (sqrt.f64 x)))
(exp.f64 (*.f64 (log.f64 x) #s(literal 1/2 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 x)) #s(literal 1 binary64)))
Outputs
(/.f64 x (pow.f64 y #s(literal 2 binary64)))
(*.f64 x (pow.f64 y #s(literal -2 binary64)))
(/.f64 x (pow.f64 y #s(literal 2 binary64)))
(*.f64 x (pow.f64 y #s(literal -2 binary64)))
(/.f64 x (pow.f64 y #s(literal 2 binary64)))
(*.f64 x (pow.f64 y #s(literal -2 binary64)))
(/.f64 x (pow.f64 y #s(literal 2 binary64)))
(*.f64 x (pow.f64 y #s(literal -2 binary64)))
(/.f64 x (pow.f64 y #s(literal 2 binary64)))
(*.f64 x (pow.f64 y #s(literal -2 binary64)))
(/.f64 x (pow.f64 y #s(literal 2 binary64)))
(*.f64 x (pow.f64 y #s(literal -2 binary64)))
(/.f64 x (pow.f64 y #s(literal 2 binary64)))
(*.f64 x (pow.f64 y #s(literal -2 binary64)))
(/.f64 x (pow.f64 y #s(literal 2 binary64)))
(*.f64 x (pow.f64 y #s(literal -2 binary64)))
(/.f64 x (pow.f64 y #s(literal 2 binary64)))
(*.f64 x (pow.f64 y #s(literal -2 binary64)))
(/.f64 x (pow.f64 y #s(literal 2 binary64)))
(*.f64 x (pow.f64 y #s(literal -2 binary64)))
(/.f64 x (pow.f64 y #s(literal 2 binary64)))
(*.f64 x (pow.f64 y #s(literal -2 binary64)))
(/.f64 x (pow.f64 y #s(literal 2 binary64)))
(*.f64 x (pow.f64 y #s(literal -2 binary64)))
(/.f64 x (pow.f64 y #s(literal 2 binary64)))
(*.f64 x (pow.f64 y #s(literal -2 binary64)))
(/.f64 x (pow.f64 y #s(literal 2 binary64)))
(*.f64 x (pow.f64 y #s(literal -2 binary64)))
(/.f64 x (pow.f64 y #s(literal 2 binary64)))
(*.f64 x (pow.f64 y #s(literal -2 binary64)))
(/.f64 x (pow.f64 y #s(literal 2 binary64)))
(*.f64 x (pow.f64 y #s(literal -2 binary64)))
(/.f64 x (pow.f64 y #s(literal 2 binary64)))
(*.f64 x (pow.f64 y #s(literal -2 binary64)))
(/.f64 x (pow.f64 y #s(literal 2 binary64)))
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(sqrt.f64 x)
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (sqrt.f64 x))))
(*.f64 (neg.f64 (sqrt.f64 x)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))
(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)))
(*.f64 (neg.f64 (sqrt.f64 x)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))
(sqrt.f64 x)
(exp.f64 (log.f64 (sqrt.f64 x)))
(*.f64 (neg.f64 (sqrt.f64 x)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))
(sqrt.f64 x)
(exp.f64 (*.f64 (log.f64 x) #s(literal 1/2 binary64)))
(*.f64 (neg.f64 (sqrt.f64 x)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))
(sqrt.f64 x)
(exp.f64 (*.f64 (log.f64 (sqrt.f64 x)) #s(literal 1 binary64)))
(*.f64 (neg.f64 (sqrt.f64 x)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))
(sqrt.f64 x)

eval56.0ms (1.4%)

Compiler

Compiled 4959 to 1130 computations (77.2% saved)

prune56.0ms (1.4%)

Pruning

6 alts after pruning (4 fresh and 2 done)

PrunedKeptTotal
New4374441
Fresh000
Picked314
Done011
Total4406446
Accuracy
100.0%
Counts
446 → 6
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.5%
(pow.f64 (/.f64 (sqrt.f64 x) y) #s(literal 2 binary64))
99.8%
(/.f64 (/.f64 x y) y)
99.7%
(/.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 y x))
92.4%
(/.f64 (sqrt.f64 x) (*.f64 (/.f64 y (sqrt.f64 x)) y))
85.0%
(/.f64 x (*.f64 y y))
99.5%
(/.f64 #s(literal -1 binary64) (*.f64 (/.f64 y x) (neg.f64 y)))
Compiler

Compiled 52 to 33 computations (36.5% saved)

simplify127.0ms (3.3%)

Algorithm
egg-herbie
Localize:

Found 13 expressions of interest:

NewMetricScoreProgram
cost-diff0
(/.f64 x y)
cost-diff0
(/.f64 (/.f64 x y) y)
cost-diff0
(/.f64 y x)
cost-diff0
(/.f64 #s(literal 1 binary64) y)
cost-diff128
(/.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 y x))
cost-diff0
(/.f64 y (sqrt.f64 x))
cost-diff0
(*.f64 (/.f64 y (sqrt.f64 x)) y)
cost-diff0
(sqrt.f64 x)
cost-diff12928
(/.f64 (sqrt.f64 x) (*.f64 (/.f64 y (sqrt.f64 x)) y))
cost-diff0
(neg.f64 y)
cost-diff0
(/.f64 y x)
cost-diff0
(*.f64 (/.f64 y x) (neg.f64 y))
cost-diff192
(/.f64 #s(literal -1 binary64) (*.f64 (/.f64 y x) (neg.f64 y)))
Rules
646×fma-define
268×div-sub
257×associate-/r*
225×fma-neg
217×times-frac
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
022296
145296
286280
3157256
4246256
5586256
61956256
73369256
84136256
94407256
104433256
114437256
124437256
134437256
Stop Event
saturated
Calls
Call 1
Inputs
(/.f64 #s(literal -1 binary64) (*.f64 (/.f64 y x) (neg.f64 y)))
#s(literal -1 binary64)
(*.f64 (/.f64 y x) (neg.f64 y))
(/.f64 y x)
y
x
(neg.f64 y)
(/.f64 (sqrt.f64 x) (*.f64 (/.f64 y (sqrt.f64 x)) y))
(sqrt.f64 x)
x
(*.f64 (/.f64 y (sqrt.f64 x)) y)
(/.f64 y (sqrt.f64 x))
y
(/.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 y x))
(/.f64 #s(literal 1 binary64) y)
#s(literal 1 binary64)
y
(/.f64 y x)
x
(/.f64 (/.f64 x y) y)
(/.f64 x y)
x
y
Outputs
(/.f64 #s(literal -1 binary64) (*.f64 (/.f64 y x) (neg.f64 y)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (*.f64 y y) x)))
(*.f64 x (/.f64 #s(literal 1 binary64) (*.f64 y y)))
(/.f64 x (*.f64 y y))
#s(literal -1 binary64)
(*.f64 (/.f64 y x) (neg.f64 y))
(neg.f64 (/.f64 (*.f64 y y) x))
(/.f64 (neg.f64 (*.f64 y y)) x)
(*.f64 y (/.f64 y (neg.f64 x)))
(/.f64 y x)
y
x
(neg.f64 y)
(/.f64 (sqrt.f64 x) (*.f64 (/.f64 y (sqrt.f64 x)) y))
(/.f64 #s(literal -1 binary64) (*.f64 (/.f64 y x) (neg.f64 y)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (*.f64 y y) x)))
(*.f64 x (/.f64 #s(literal 1 binary64) (*.f64 y y)))
(/.f64 x (*.f64 y y))
(sqrt.f64 x)
x
(*.f64 (/.f64 y (sqrt.f64 x)) y)
(*.f64 y (/.f64 y (sqrt.f64 x)))
(/.f64 (*.f64 y y) (sqrt.f64 x))
(/.f64 y (sqrt.f64 x))
y
(/.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 y x))
(/.f64 #s(literal -1 binary64) (*.f64 (/.f64 y x) (neg.f64 y)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (*.f64 y y) x)))
(*.f64 x (/.f64 #s(literal 1 binary64) (*.f64 y y)))
(/.f64 x (*.f64 y y))
(/.f64 #s(literal 1 binary64) y)
#s(literal 1 binary64)
y
(/.f64 y x)
x
(/.f64 (/.f64 x y) y)
(/.f64 #s(literal -1 binary64) (*.f64 (/.f64 y x) (neg.f64 y)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (*.f64 y y) x)))
(*.f64 x (/.f64 #s(literal 1 binary64) (*.f64 y y)))
(/.f64 x (*.f64 y y))
(/.f64 x y)
x
y

localize73.0ms (1.9%)

Localize:

Found 13 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(/.f64 x y)
accuracy99.8%
(/.f64 (/.f64 x y) y)
accuracy100.0%
(/.f64 y x)
accuracy100.0%
(/.f64 #s(literal 1 binary64) y)
accuracy99.7%
(/.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 y x))
accuracy100.0%
(sqrt.f64 x)
accuracy99.8%
(*.f64 (/.f64 y (sqrt.f64 x)) y)
accuracy99.7%
(/.f64 y (sqrt.f64 x))
accuracy92.6%
(/.f64 (sqrt.f64 x) (*.f64 (/.f64 y (sqrt.f64 x)) y))
accuracy100.0%
(/.f64 y x)
accuracy100.0%
(neg.f64 y)
accuracy99.7%
(*.f64 (/.f64 y x) (neg.f64 y))
accuracy99.5%
(/.f64 #s(literal -1 binary64) (*.f64 (/.f64 y x) (neg.f64 y)))
Results
54.0ms256×0valid
Compiler

Compiled 74 to 17 computations (77% saved)

Precisions
Click to see histograms. Total time spent on operations: 25.0ms
ival-div: 13.0ms (51.5% of total)
ival-mult: 8.0ms (31.7% of total)
ival-sqrt: 2.0ms (7.9% of total)
ival-neg: 1.0ms (4% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

series19.0ms (0.5%)

Counts
9 → 180
Calls
Call 1
Inputs
#<alt (/.f64 #s(literal -1 binary64) (*.f64 (/.f64 y x) (neg.f64 y)))>
#<alt (*.f64 (/.f64 y x) (neg.f64 y))>
#<alt (/.f64 y x)>
#<alt (neg.f64 y)>
#<alt (/.f64 (sqrt.f64 x) (*.f64 (/.f64 y (sqrt.f64 x)) y))>
#<alt (*.f64 (/.f64 y (sqrt.f64 x)) y)>
#<alt (/.f64 y (sqrt.f64 x))>
#<alt (/.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 y x))>
#<alt (/.f64 (/.f64 x y) y)>
Outputs
#<alt (/.f64 x (pow.f64 y #s(literal 2 binary64)))>
#<alt (/.f64 x (pow.f64 y #s(literal 2 binary64)))>
#<alt (/.f64 x (pow.f64 y #s(literal 2 binary64)))>
#<alt (/.f64 x (pow.f64 y #s(literal 2 binary64)))>
#<alt (/.f64 x (pow.f64 y #s(literal 2 binary64)))>
#<alt (/.f64 x (pow.f64 y #s(literal 2 binary64)))>
#<alt (/.f64 x (pow.f64 y #s(literal 2 binary64)))>
#<alt (/.f64 x (pow.f64 y #s(literal 2 binary64)))>
#<alt (/.f64 x (pow.f64 y #s(literal 2 binary64)))>
#<alt (/.f64 x (pow.f64 y #s(literal 2 binary64)))>
#<alt (/.f64 x (pow.f64 y #s(literal 2 binary64)))>
#<alt (/.f64 x (pow.f64 y #s(literal 2 binary64)))>
#<alt (/.f64 x (pow.f64 y #s(literal 2 binary64)))>
#<alt (/.f64 x (pow.f64 y #s(literal 2 binary64)))>
#<alt (/.f64 x (pow.f64 y #s(literal 2 binary64)))>
#<alt (/.f64 x (pow.f64 y #s(literal 2 binary64)))>
#<alt (/.f64 x (pow.f64 y #s(literal 2 binary64)))>
#<alt (/.f64 x (pow.f64 y #s(literal 2 binary64)))>
#<alt (/.f64 x (pow.f64 y #s(literal 2 binary64)))>
#<alt (/.f64 x (pow.f64 y #s(literal 2 binary64)))>
#<alt (/.f64 x (pow.f64 y #s(literal 2 binary64)))>
#<alt (/.f64 x (pow.f64 y #s(literal 2 binary64)))>
#<alt (/.f64 x (pow.f64 y #s(literal 2 binary64)))>
#<alt (/.f64 x (pow.f64 y #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) x))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) x))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) x))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) x))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) x))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) x))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) x))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) x))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) x))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) x))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) x))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) x))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) x))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) x))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) x))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) x))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) x))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) x))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) x))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) x))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) x))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) x))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) x))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) x))>
#<alt (*.f64 #s(literal -1 binary64) y)>
#<alt (*.f64 #s(literal -1 binary64) y)>
#<alt (*.f64 #s(literal -1 binary64) y)>
#<alt (*.f64 #s(literal -1 binary64) y)>
#<alt (*.f64 #s(literal -1 binary64) y)>
#<alt (*.f64 #s(literal -1 binary64) y)>
#<alt (*.f64 #s(literal -1 binary64) y)>
#<alt (*.f64 #s(literal -1 binary64) y)>
#<alt (*.f64 #s(literal -1 binary64) y)>
#<alt (*.f64 #s(literal -1 binary64) y)>
#<alt (*.f64 #s(literal -1 binary64) y)>
#<alt (*.f64 #s(literal -1 binary64) y)>
#<alt (/.f64 x (pow.f64 y #s(literal 2 binary64)))>
#<alt (/.f64 x (pow.f64 y #s(literal 2 binary64)))>
#<alt (/.f64 x (pow.f64 y #s(literal 2 binary64)))>
#<alt (/.f64 x (pow.f64 y #s(literal 2 binary64)))>
#<alt (/.f64 x (pow.f64 y #s(literal 2 binary64)))>
#<alt (/.f64 x (pow.f64 y #s(literal 2 binary64)))>
#<alt (/.f64 x (pow.f64 y #s(literal 2 binary64)))>
#<alt (/.f64 x (pow.f64 y #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (pow.f64 y #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (pow.f64 y #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (pow.f64 y #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (pow.f64 y #s(literal 2 binary64))))>
#<alt (/.f64 x (pow.f64 y #s(literal 2 binary64)))>
#<alt (/.f64 x (pow.f64 y #s(literal 2 binary64)))>
#<alt (/.f64 x (pow.f64 y #s(literal 2 binary64)))>
#<alt (/.f64 x (pow.f64 y #s(literal 2 binary64)))>
#<alt (/.f64 x (pow.f64 y #s(literal 2 binary64)))>
#<alt (/.f64 x (pow.f64 y #s(literal 2 binary64)))>
#<alt (/.f64 x (pow.f64 y #s(literal 2 binary64)))>
#<alt (/.f64 x (pow.f64 y #s(literal 2 binary64)))>
#<alt (/.f64 x (pow.f64 y #s(literal 2 binary64)))>
#<alt (/.f64 x (pow.f64 y #s(literal 2 binary64)))>
#<alt (/.f64 x (pow.f64 y #s(literal 2 binary64)))>
#<alt (/.f64 x (pow.f64 y #s(literal 2 binary64)))>
#<alt (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (pow.f64 y #s(literal 2 binary64)))>
#<alt (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (pow.f64 y #s(literal 2 binary64)))>
#<alt (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (pow.f64 y #s(literal 2 binary64)))>
#<alt (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (pow.f64 y #s(literal 2 binary64)))>
#<alt (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (pow.f64 y #s(literal 2 binary64)))>
#<alt (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (pow.f64 y #s(literal 2 binary64)))>
#<alt (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (pow.f64 y #s(literal 2 binary64)))>
#<alt (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (pow.f64 y #s(literal 2 binary64)))>
#<alt (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (pow.f64 y #s(literal 2 binary64)))>
#<alt (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (pow.f64 y #s(literal 2 binary64)))>
#<alt (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (pow.f64 y #s(literal 2 binary64)))>
#<alt (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (pow.f64 y #s(literal 2 binary64)))>
#<alt (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (pow.f64 y #s(literal 2 binary64)))>
#<alt (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (pow.f64 y #s(literal 2 binary64)))>
#<alt (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (pow.f64 y #s(literal 2 binary64)))>
#<alt (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (pow.f64 y #s(literal 2 binary64)))>
#<alt (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (pow.f64 y #s(literal 2 binary64)))>
#<alt (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (pow.f64 y #s(literal 2 binary64)))>
#<alt (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (pow.f64 y #s(literal 2 binary64)))>
#<alt (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (pow.f64 y #s(literal 2 binary64)))>
#<alt (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (pow.f64 y #s(literal 2 binary64)))>
#<alt (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (pow.f64 y #s(literal 2 binary64)))>
#<alt (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (pow.f64 y #s(literal 2 binary64)))>
#<alt (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (pow.f64 y #s(literal 2 binary64)))>
#<alt (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y)>
#<alt (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y)>
#<alt (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y)>
#<alt (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y)>
#<alt (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y)>
#<alt (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y)>
#<alt (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y)>
#<alt (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y)>
#<alt (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y)>
#<alt (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y)>
#<alt (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y)>
#<alt (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y)>
#<alt (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y)>
#<alt (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y)>
#<alt (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y)>
#<alt (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y)>
#<alt (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y)>
#<alt (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y)>
#<alt (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y)>
#<alt (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y)>
#<alt (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y)>
#<alt (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y)>
#<alt (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y)>
#<alt (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y)>
#<alt (/.f64 x (pow.f64 y #s(literal 2 binary64)))>
#<alt (/.f64 x (pow.f64 y #s(literal 2 binary64)))>
#<alt (/.f64 x (pow.f64 y #s(literal 2 binary64)))>
#<alt (/.f64 x (pow.f64 y #s(literal 2 binary64)))>
#<alt (/.f64 x (pow.f64 y #s(literal 2 binary64)))>
#<alt (/.f64 x (pow.f64 y #s(literal 2 binary64)))>
#<alt (/.f64 x (pow.f64 y #s(literal 2 binary64)))>
#<alt (/.f64 x (pow.f64 y #s(literal 2 binary64)))>
#<alt (/.f64 x (pow.f64 y #s(literal 2 binary64)))>
#<alt (/.f64 x (pow.f64 y #s(literal 2 binary64)))>
#<alt (/.f64 x (pow.f64 y #s(literal 2 binary64)))>
#<alt (/.f64 x (pow.f64 y #s(literal 2 binary64)))>
#<alt (/.f64 x (pow.f64 y #s(literal 2 binary64)))>
#<alt (/.f64 x (pow.f64 y #s(literal 2 binary64)))>
#<alt (/.f64 x (pow.f64 y #s(literal 2 binary64)))>
#<alt (/.f64 x (pow.f64 y #s(literal 2 binary64)))>
#<alt (/.f64 x (pow.f64 y #s(literal 2 binary64)))>
#<alt (/.f64 x (pow.f64 y #s(literal 2 binary64)))>
#<alt (/.f64 x (pow.f64 y #s(literal 2 binary64)))>
#<alt (/.f64 x (pow.f64 y #s(literal 2 binary64)))>
#<alt (/.f64 x (pow.f64 y #s(literal 2 binary64)))>
#<alt (/.f64 x (pow.f64 y #s(literal 2 binary64)))>
#<alt (/.f64 x (pow.f64 y #s(literal 2 binary64)))>
#<alt (/.f64 x (pow.f64 y #s(literal 2 binary64)))>
#<alt (/.f64 x (pow.f64 y #s(literal 2 binary64)))>
#<alt (/.f64 x (pow.f64 y #s(literal 2 binary64)))>
#<alt (/.f64 x (pow.f64 y #s(literal 2 binary64)))>
#<alt (/.f64 x (pow.f64 y #s(literal 2 binary64)))>
#<alt (/.f64 x (pow.f64 y #s(literal 2 binary64)))>
#<alt (/.f64 x (pow.f64 y #s(literal 2 binary64)))>
#<alt (/.f64 x (pow.f64 y #s(literal 2 binary64)))>
#<alt (/.f64 x (pow.f64 y #s(literal 2 binary64)))>
#<alt (/.f64 x (pow.f64 y #s(literal 2 binary64)))>
#<alt (/.f64 x (pow.f64 y #s(literal 2 binary64)))>
#<alt (/.f64 x (pow.f64 y #s(literal 2 binary64)))>
#<alt (/.f64 x (pow.f64 y #s(literal 2 binary64)))>
#<alt (/.f64 x (pow.f64 y #s(literal 2 binary64)))>
#<alt (/.f64 x (pow.f64 y #s(literal 2 binary64)))>
#<alt (/.f64 x (pow.f64 y #s(literal 2 binary64)))>
#<alt (/.f64 x (pow.f64 y #s(literal 2 binary64)))>
#<alt (/.f64 x (pow.f64 y #s(literal 2 binary64)))>
#<alt (/.f64 x (pow.f64 y #s(literal 2 binary64)))>
#<alt (/.f64 x (pow.f64 y #s(literal 2 binary64)))>
#<alt (/.f64 x (pow.f64 y #s(literal 2 binary64)))>
#<alt (/.f64 x (pow.f64 y #s(literal 2 binary64)))>
#<alt (/.f64 x (pow.f64 y #s(literal 2 binary64)))>
#<alt (/.f64 x (pow.f64 y #s(literal 2 binary64)))>
#<alt (/.f64 x (pow.f64 y #s(literal 2 binary64)))>
Calls

51 calls:

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

rewrite168.0ms (4.3%)

Algorithm
batch-egg-rewrite
Rules
829×log1p-expm1-u
790×expm1-log1p-u
146×add-cube-cbrt
145×add-exp-log
145×add-log-exp
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
022218
1340152
25370152
Stop Event
node limit
Counts
9 → 546
Calls
Call 1
Inputs
(/.f64 #s(literal -1 binary64) (*.f64 (/.f64 y x) (neg.f64 y)))
(*.f64 (/.f64 y x) (neg.f64 y))
(/.f64 y x)
(neg.f64 y)
(/.f64 (sqrt.f64 x) (*.f64 (/.f64 y (sqrt.f64 x)) y))
(*.f64 (/.f64 y (sqrt.f64 x)) y)
(/.f64 y (sqrt.f64 x))
(/.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 y x))
(/.f64 (/.f64 x y) y)
Outputs
(-.f64 (exp.f64 (log1p.f64 (*.f64 x (pow.f64 y #s(literal -2 binary64))))) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) (*.f64 x (pow.f64 y #s(literal -2 binary64))))
(*.f64 x (pow.f64 y #s(literal -2 binary64)))
(*.f64 (sqrt.f64 x) (*.f64 (pow.f64 y #s(literal -2 binary64)) (sqrt.f64 x)))
(*.f64 (sqrt.f64 x) (/.f64 (sqrt.f64 x) (pow.f64 y #s(literal 2 binary64))))
(*.f64 #s(literal 1 binary64) (*.f64 x (pow.f64 y #s(literal -2 binary64))))
(*.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 x y))
(*.f64 (*.f64 x (pow.f64 y #s(literal -2 binary64))) #s(literal -1 binary64))
(*.f64 (*.f64 x (pow.f64 y #s(literal -2 binary64))) #s(literal 1 binary64))
(*.f64 (/.f64 x y) (/.f64 #s(literal -1 binary64) y))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 x y)) #s(literal 2 binary64)) (/.f64 (cbrt.f64 (/.f64 x y)) y))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 x y)) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (/.f64 x y)) (/.f64 #s(literal -1 binary64) y)))
(*.f64 (cbrt.f64 (pow.f64 y #s(literal -2 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 y)) (/.f64 y x)))
(*.f64 (cbrt.f64 (pow.f64 y #s(literal -2 binary64))) (*.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 y)) (/.f64 x y)))
(*.f64 (cbrt.f64 (*.f64 x (pow.f64 y #s(literal -2 binary64)))) (pow.f64 (cbrt.f64 (*.f64 x (pow.f64 y #s(literal -2 binary64)))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 x (pow.f64 y #s(literal -2 binary64)))) #s(literal 2 binary64)) (cbrt.f64 (*.f64 x (pow.f64 y #s(literal -2 binary64)))))
(*.f64 (cbrt.f64 x) (/.f64 (cbrt.f64 (sqrt.f64 x)) (/.f64 (pow.f64 y #s(literal 2 binary64)) (sqrt.f64 x))))
(*.f64 (cbrt.f64 x) (*.f64 (cbrt.f64 (sqrt.f64 x)) (*.f64 (pow.f64 y #s(literal -2 binary64)) (sqrt.f64 x))))
(*.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (/.f64 (cbrt.f64 x) (pow.f64 y #s(literal 2 binary64))))
(*.f64 (pow.f64 x #s(literal 1/4 binary64)) (/.f64 (pow.f64 x #s(literal 1/4 binary64)) (/.f64 (pow.f64 y #s(literal 2 binary64)) (sqrt.f64 x))))
(*.f64 (pow.f64 x #s(literal 1/4 binary64)) (*.f64 (pow.f64 x #s(literal 1/4 binary64)) (*.f64 (pow.f64 y #s(literal -2 binary64)) (sqrt.f64 x))))
(*.f64 (sqrt.f64 (/.f64 x y)) (/.f64 (/.f64 #s(literal -1 binary64) y) (sqrt.f64 (/.f64 y x))))
(*.f64 (sqrt.f64 (/.f64 x y)) (/.f64 (sqrt.f64 (/.f64 x y)) y))
(*.f64 (sqrt.f64 (/.f64 x y)) (*.f64 (sqrt.f64 (/.f64 x y)) (/.f64 #s(literal -1 binary64) y)))
(*.f64 (pow.f64 y #s(literal -1/2 binary64)) (/.f64 (pow.f64 y #s(literal -1/2 binary64)) (/.f64 y x)))
(*.f64 (pow.f64 y #s(literal -1/2 binary64)) (/.f64 (/.f64 x y) (sqrt.f64 y)))
(*.f64 (pow.f64 y #s(literal -1/2 binary64)) (*.f64 (pow.f64 y #s(literal -1/2 binary64)) (/.f64 x y)))
(*.f64 (neg.f64 (sqrt.f64 x)) (*.f64 (pow.f64 y #s(literal -2 binary64)) (sqrt.f64 x)))
(*.f64 (/.f64 (sqrt.f64 x) y) (/.f64 (sqrt.f64 x) y))
(*.f64 (*.f64 (pow.f64 y #s(literal -2 binary64)) (sqrt.f64 x)) (sqrt.f64 x))
(*.f64 (pow.f64 y #s(literal -2 binary64)) x)
(*.f64 (pow.f64 y #s(literal -2 binary64)) (neg.f64 x))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (/.f64 (/.f64 x y) (cbrt.f64 y)))
(*.f64 (/.f64 x (sqrt.f64 y)) (/.f64 (/.f64 #s(literal -1 binary64) y) (sqrt.f64 y)))
(*.f64 (/.f64 (cbrt.f64 x) y) (/.f64 (cbrt.f64 (sqrt.f64 x)) (/.f64 y (sqrt.f64 x))))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 (/.f64 y x)) #s(literal 2 binary64))) (/.f64 (/.f64 #s(literal -1 binary64) y) (cbrt.f64 (/.f64 y x))))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 y #s(literal -2 binary64))) y) (/.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 y)) (/.f64 #s(literal 1 binary64) x)))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 y #s(literal -2 binary64))) #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 y)) (/.f64 y x)))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 y #s(literal -2 binary64))) (pow.f64 (cbrt.f64 (/.f64 y x)) #s(literal 2 binary64))) (cbrt.f64 (*.f64 x (pow.f64 y #s(literal -2 binary64)))))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 y #s(literal -2 binary64))) (sqrt.f64 (/.f64 y x))) (/.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 y)) (sqrt.f64 (/.f64 y x))))
(*.f64 (/.f64 (pow.f64 y #s(literal -1/2 binary64)) y) (/.f64 (pow.f64 y #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) x)))
(*.f64 (/.f64 (pow.f64 y #s(literal -1/2 binary64)) #s(literal 1 binary64)) (/.f64 (pow.f64 y #s(literal -1/2 binary64)) (/.f64 y x)))
(*.f64 (/.f64 (pow.f64 y #s(literal -1/2 binary64)) (pow.f64 (cbrt.f64 (/.f64 y x)) #s(literal 2 binary64))) (/.f64 (pow.f64 y #s(literal -1/2 binary64)) (cbrt.f64 (/.f64 y x))))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 (/.f64 (pow.f64 y #s(literal 2 binary64)) (sqrt.f64 x))) #s(literal 2 binary64))) (/.f64 (sqrt.f64 x) (cbrt.f64 (/.f64 (pow.f64 y #s(literal 2 binary64)) (sqrt.f64 x)))))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 y (pow.f64 x #s(literal 1/4 binary64)))) (/.f64 (sqrt.f64 x) (/.f64 y (pow.f64 x #s(literal 1/4 binary64)))))
(*.f64 (/.f64 (cbrt.f64 x) (/.f64 y (sqrt.f64 x))) (/.f64 (cbrt.f64 (sqrt.f64 x)) y))
(*.f64 (/.f64 (cbrt.f64 x) #s(literal 1 binary64)) (/.f64 (cbrt.f64 (sqrt.f64 x)) (/.f64 (pow.f64 y #s(literal 2 binary64)) (sqrt.f64 x))))
(*.f64 (/.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 (/.f64 (pow.f64 y #s(literal 2 binary64)) (sqrt.f64 x))) #s(literal 2 binary64))) (cbrt.f64 (*.f64 x (pow.f64 y #s(literal -2 binary64)))))
(*.f64 (/.f64 (cbrt.f64 x) (/.f64 y (pow.f64 x #s(literal 1/4 binary64)))) (/.f64 (cbrt.f64 (sqrt.f64 x)) (/.f64 y (pow.f64 x #s(literal 1/4 binary64)))))
(*.f64 (/.f64 (pow.f64 x #s(literal 1/4 binary64)) y) (/.f64 (pow.f64 x #s(literal 1/4 binary64)) (/.f64 y (sqrt.f64 x))))
(*.f64 (/.f64 (pow.f64 x #s(literal 1/4 binary64)) (/.f64 y (sqrt.f64 x))) (/.f64 (pow.f64 x #s(literal 1/4 binary64)) y))
(*.f64 (/.f64 (pow.f64 x #s(literal 1/4 binary64)) #s(literal 1 binary64)) (/.f64 (pow.f64 x #s(literal 1/4 binary64)) (/.f64 (pow.f64 y #s(literal 2 binary64)) (sqrt.f64 x))))
(*.f64 (/.f64 (pow.f64 x #s(literal 1/4 binary64)) (pow.f64 (cbrt.f64 (/.f64 (pow.f64 y #s(literal 2 binary64)) (sqrt.f64 x))) #s(literal 2 binary64))) (/.f64 (pow.f64 x #s(literal 1/4 binary64)) (cbrt.f64 (/.f64 (pow.f64 y #s(literal 2 binary64)) (sqrt.f64 x)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) y) (/.f64 (cbrt.f64 x) y))
(*.f64 (/.f64 x #s(literal 1 binary64)) (pow.f64 y #s(literal -2 binary64)))
(*.f64 (/.f64 x (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (/.f64 (/.f64 #s(literal -1 binary64) y) (cbrt.f64 y)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 x y)) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (cbrt.f64 (/.f64 x y)) y))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 x y)) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (cbrt.f64 (*.f64 x (pow.f64 y #s(literal -2 binary64)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 x y)) #s(literal 2 binary64)) (sqrt.f64 y)) (/.f64 (cbrt.f64 (/.f64 x y)) (sqrt.f64 y)))
(*.f64 (/.f64 (sqrt.f64 (/.f64 x y)) #s(literal 1 binary64)) (/.f64 (sqrt.f64 (/.f64 x y)) y))
(*.f64 (/.f64 (sqrt.f64 (/.f64 x y)) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (/.f64 (sqrt.f64 (/.f64 x y)) (cbrt.f64 y)))
(*.f64 (/.f64 (sqrt.f64 x) (pow.f64 y #s(literal 2 binary64))) (sqrt.f64 x))
(*.f64 (*.f64 (pow.f64 y #s(literal -2 binary64)) #s(literal 1 binary64)) x)
(*.f64 (*.f64 (/.f64 #s(literal -1 binary64) y) (pow.f64 (cbrt.f64 (/.f64 x y)) #s(literal 2 binary64))) (cbrt.f64 (/.f64 x y)))
(*.f64 (*.f64 (/.f64 #s(literal -1 binary64) y) (sqrt.f64 (/.f64 x y))) (sqrt.f64 (/.f64 x y)))
(*.f64 (*.f64 (pow.f64 y #s(literal -2 binary64)) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 x))
(*.f64 (*.f64 (/.f64 x y) (cbrt.f64 (pow.f64 y #s(literal -2 binary64)))) (/.f64 #s(literal 1 binary64) (cbrt.f64 y)))
(*.f64 (*.f64 (/.f64 x y) (pow.f64 y #s(literal -1/2 binary64))) (pow.f64 y #s(literal -1/2 binary64)))
(*.f64 (/.f64 (/.f64 #s(literal -1 binary64) y) #s(literal 1 binary64)) (/.f64 x y))
(pow.f64 (*.f64 x (pow.f64 y #s(literal -2 binary64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 x (pow.f64 y #s(literal -2 binary64)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 x (pow.f64 y #s(literal -2 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (/.f64 (sqrt.f64 x) y) #s(literal 2 binary64))
(pow.f64 (/.f64 (pow.f64 y #s(literal 2 binary64)) x) #s(literal -1 binary64))
(neg.f64 (*.f64 x (pow.f64 y #s(literal -2 binary64))))
(sqrt.f64 (pow.f64 (*.f64 x (pow.f64 y #s(literal -2 binary64))) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 (pow.f64 y #s(literal -2 binary64))) x))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x (pow.f64 y #s(literal -2 binary64))))))
(cbrt.f64 (pow.f64 (*.f64 x (pow.f64 y #s(literal -2 binary64))) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) y) #s(literal 3 binary64)) (pow.f64 (/.f64 x y) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 x y) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal -1 binary64) y) #s(literal 3 binary64))))
(cbrt.f64 (/.f64 (pow.f64 (/.f64 #s(literal -1 binary64) y) #s(literal 3 binary64)) (pow.f64 (/.f64 y x) #s(literal 3 binary64))))
(cbrt.f64 (/.f64 (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 (/.f64 (pow.f64 y #s(literal 2 binary64)) (sqrt.f64 x)) #s(literal 3 binary64))))
(cbrt.f64 (/.f64 (pow.f64 (/.f64 x y) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 x (pow.f64 y #s(literal -2 binary64)))))
(log1p.f64 (expm1.f64 (*.f64 x (pow.f64 y #s(literal -2 binary64)))))
(exp.f64 (log.f64 (*.f64 x (pow.f64 y #s(literal -2 binary64)))))
(exp.f64 (*.f64 (log.f64 (*.f64 x (pow.f64 y #s(literal -2 binary64)))) #s(literal 1 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) x))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (pow.f64 y #s(literal 2 binary64)) x))) #s(literal 1 binary64))
(/.f64 y (/.f64 x y))
(/.f64 y (*.f64 (neg.f64 (sqrt.f64 x)) (/.f64 (sqrt.f64 x) y)))
(/.f64 (/.f64 y x) (/.f64 #s(literal -1 binary64) y))
(/.f64 (/.f64 y (sqrt.f64 x)) (/.f64 (sqrt.f64 x) y))
(/.f64 (/.f64 (pow.f64 y #s(literal 2 binary64)) (sqrt.f64 x)) (sqrt.f64 x))
(/.f64 (/.f64 (pow.f64 y #s(literal 2 binary64)) (sqrt.f64 x)) (neg.f64 (sqrt.f64 x)))
(/.f64 #s(literal 1 binary64) (*.f64 x (pow.f64 y #s(literal -2 binary64))))
(/.f64 (pow.f64 y #s(literal 2 binary64)) x)
(/.f64 (pow.f64 y #s(literal 2 binary64)) (neg.f64 x))
(/.f64 (pow.f64 y #s(literal 2 binary64)) (*.f64 (neg.f64 (sqrt.f64 x)) (neg.f64 (sqrt.f64 x))))
(/.f64 (/.f64 (pow.f64 y #s(literal 2 binary64)) x) #s(literal -1 binary64))
(/.f64 (/.f64 (pow.f64 y #s(literal 2 binary64)) x) #s(literal 1 binary64))
(/.f64 (/.f64 (/.f64 (pow.f64 y #s(literal 2 binary64)) (sqrt.f64 x)) (pow.f64 x #s(literal 1/4 binary64))) (pow.f64 x #s(literal 1/4 binary64)))
(/.f64 (/.f64 y (sqrt.f64 (/.f64 x y))) (sqrt.f64 (/.f64 x y)))
(/.f64 (/.f64 (/.f64 y x) (pow.f64 y #s(literal -1/2 binary64))) (pow.f64 y #s(literal -1/2 binary64)))
(/.f64 (/.f64 (/.f64 (pow.f64 y #s(literal 2 binary64)) (sqrt.f64 x)) #s(literal 1 binary64)) (sqrt.f64 x))
(/.f64 (/.f64 (/.f64 y x) #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) y))
(/.f64 (/.f64 (/.f64 (pow.f64 y #s(literal 2 binary64)) (sqrt.f64 x)) (cbrt.f64 x)) (cbrt.f64 (sqrt.f64 x)))
(/.f64 (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 x))
(/.f64 (/.f64 y (pow.f64 (cbrt.f64 (/.f64 x y)) #s(literal 2 binary64))) (cbrt.f64 (/.f64 x y)))
(/.f64 (/.f64 (pow.f64 y #s(literal 2 binary64)) #s(literal 1 binary64)) x)
(/.f64 (/.f64 (/.f64 y x) (cbrt.f64 (pow.f64 y #s(literal -2 binary64)))) (/.f64 #s(literal 1 binary64) (cbrt.f64 y)))
(pow.f64 (/.f64 y (sqrt.f64 x)) #s(literal 2 binary64))
(pow.f64 (cbrt.f64 (/.f64 (pow.f64 y #s(literal 2 binary64)) x)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (/.f64 (pow.f64 y #s(literal 2 binary64)) x) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (/.f64 (pow.f64 y #s(literal 2 binary64)) x) #s(literal 1 binary64))
(neg.f64 (/.f64 (pow.f64 y #s(literal 2 binary64)) x))
(sqrt.f64 (pow.f64 (/.f64 (pow.f64 y #s(literal 2 binary64)) x) #s(literal 2 binary64)))
(log.f64 (exp.f64 (/.f64 (pow.f64 y #s(literal 2 binary64)) x)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 (pow.f64 y #s(literal 2 binary64)) x))))
(cbrt.f64 (pow.f64 (/.f64 (pow.f64 y #s(literal 2 binary64)) x) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 y x) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 (/.f64 y x) #s(literal 3 binary64))))
(cbrt.f64 (/.f64 (pow.f64 (/.f64 (pow.f64 y #s(literal 2 binary64)) (sqrt.f64 x)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3/2 binary64))))
(cbrt.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 (/.f64 x y) #s(literal 3 binary64))))
(cbrt.f64 (/.f64 (pow.f64 (/.f64 y x) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal -1 binary64) y) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (/.f64 (pow.f64 y #s(literal 2 binary64)) x)))
(log1p.f64 (expm1.f64 (/.f64 (pow.f64 y #s(literal 2 binary64)) x)))
(exp.f64 (log.f64 (/.f64 (pow.f64 y #s(literal 2 binary64)) x)))
(exp.f64 (*.f64 (log.f64 (/.f64 (pow.f64 y #s(literal 2 binary64)) x)) #s(literal 1 binary64)))
(exp.f64 (-.f64 (log.f64 (/.f64 (pow.f64 y #s(literal 2 binary64)) (sqrt.f64 x))) (log.f64 (sqrt.f64 x))))
(exp.f64 (-.f64 (log.f64 y) (log.f64 (/.f64 x y))))
(exp.f64 (-.f64 (log.f64 (/.f64 y x)) (neg.f64 (log.f64 y))))
(-.f64 #s(literal 0 binary64) (/.f64 y x))
(-.f64 (exp.f64 (log1p.f64 (/.f64 y x))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 x)) (/.f64 y x))
(*.f64 #s(literal -1 binary64) (/.f64 y x))
(*.f64 y (/.f64 #s(literal 1 binary64) x))
(*.f64 y (/.f64 #s(literal 1 binary64) (neg.f64 x)))
(*.f64 y (neg.f64 (/.f64 #s(literal 1 binary64) x)))
(*.f64 (/.f64 y x) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 y x))
(*.f64 (cbrt.f64 (/.f64 y x)) (pow.f64 (cbrt.f64 (/.f64 y x)) #s(literal 2 binary64)))
(*.f64 (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 (cbrt.f64 y) #s(literal 2 binary64)) (/.f64 (cbrt.f64 y) x))
(*.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (*.f64 (cbrt.f64 y) (/.f64 #s(literal 1 binary64) x)))
(*.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (/.f64 (cbrt.f64 y) (neg.f64 x)))
(*.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 (sqrt.f64 y) (/.f64 (sqrt.f64 y) x))
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(*.f64 (/.f64 (pow.f64 y #s(literal -1/2 binary64)) (pow.f64 (cbrt.f64 (/.f64 y x)) #s(literal 2 binary64))) (/.f64 (pow.f64 y #s(literal -1/2 binary64)) (cbrt.f64 (/.f64 y x))))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 (/.f64 (pow.f64 y #s(literal 2 binary64)) (sqrt.f64 x))) #s(literal 2 binary64))) (/.f64 (sqrt.f64 x) (cbrt.f64 (/.f64 (pow.f64 y #s(literal 2 binary64)) (sqrt.f64 x)))))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 y (pow.f64 x #s(literal 1/4 binary64)))) (/.f64 (sqrt.f64 x) (/.f64 y (pow.f64 x #s(literal 1/4 binary64)))))
(*.f64 (/.f64 (cbrt.f64 x) (/.f64 y (sqrt.f64 x))) (/.f64 (cbrt.f64 (sqrt.f64 x)) y))
(*.f64 (/.f64 (cbrt.f64 x) #s(literal 1 binary64)) (/.f64 (cbrt.f64 (sqrt.f64 x)) (/.f64 (pow.f64 y #s(literal 2 binary64)) (sqrt.f64 x))))
(*.f64 (/.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 (/.f64 (pow.f64 y #s(literal 2 binary64)) (sqrt.f64 x))) #s(literal 2 binary64))) (cbrt.f64 (*.f64 x (pow.f64 y #s(literal -2 binary64)))))
(*.f64 (/.f64 (cbrt.f64 x) (/.f64 y (pow.f64 x #s(literal 1/4 binary64)))) (/.f64 (cbrt.f64 (sqrt.f64 x)) (/.f64 y (pow.f64 x #s(literal 1/4 binary64)))))
(*.f64 (/.f64 (pow.f64 x #s(literal 1/4 binary64)) y) (/.f64 (pow.f64 x #s(literal 1/4 binary64)) (/.f64 y (sqrt.f64 x))))
(*.f64 (/.f64 (pow.f64 x #s(literal 1/4 binary64)) (/.f64 y (sqrt.f64 x))) (/.f64 (pow.f64 x #s(literal 1/4 binary64)) y))
(*.f64 (/.f64 (pow.f64 x #s(literal 1/4 binary64)) #s(literal 1 binary64)) (/.f64 (pow.f64 x #s(literal 1/4 binary64)) (/.f64 (pow.f64 y #s(literal 2 binary64)) (sqrt.f64 x))))
(*.f64 (/.f64 (pow.f64 x #s(literal 1/4 binary64)) (pow.f64 (cbrt.f64 (/.f64 (pow.f64 y #s(literal 2 binary64)) (sqrt.f64 x))) #s(literal 2 binary64))) (/.f64 (pow.f64 x #s(literal 1/4 binary64)) (cbrt.f64 (/.f64 (pow.f64 y #s(literal 2 binary64)) (sqrt.f64 x)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) y) (/.f64 (cbrt.f64 x) y))
(*.f64 (/.f64 x #s(literal 1 binary64)) (pow.f64 y #s(literal -2 binary64)))
(*.f64 (/.f64 x (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (/.f64 (/.f64 #s(literal -1 binary64) y) (cbrt.f64 y)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 x y)) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (cbrt.f64 (/.f64 x y)) y))
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(*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 x y)) #s(literal 2 binary64)) (sqrt.f64 y)) (/.f64 (cbrt.f64 (/.f64 x y)) (sqrt.f64 y)))
(*.f64 (/.f64 (sqrt.f64 (/.f64 x y)) #s(literal 1 binary64)) (/.f64 (sqrt.f64 (/.f64 x y)) y))
(*.f64 (/.f64 (sqrt.f64 (/.f64 x y)) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (/.f64 (sqrt.f64 (/.f64 x y)) (cbrt.f64 y)))
(*.f64 (/.f64 (sqrt.f64 x) (pow.f64 y #s(literal 2 binary64))) (sqrt.f64 x))
(*.f64 (*.f64 (pow.f64 y #s(literal -2 binary64)) #s(literal 1 binary64)) x)
(*.f64 (*.f64 (/.f64 #s(literal -1 binary64) y) (pow.f64 (cbrt.f64 (/.f64 x y)) #s(literal 2 binary64))) (cbrt.f64 (/.f64 x y)))
(*.f64 (*.f64 (/.f64 #s(literal -1 binary64) y) (sqrt.f64 (/.f64 x y))) (sqrt.f64 (/.f64 x y)))
(*.f64 (*.f64 (pow.f64 y #s(literal -2 binary64)) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 x))
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(*.f64 (*.f64 (/.f64 x y) (pow.f64 y #s(literal -1/2 binary64))) (pow.f64 y #s(literal -1/2 binary64)))
(*.f64 (/.f64 (/.f64 #s(literal -1 binary64) y) #s(literal 1 binary64)) (/.f64 x y))
(pow.f64 (*.f64 x (pow.f64 y #s(literal -2 binary64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 x (pow.f64 y #s(literal -2 binary64)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 x (pow.f64 y #s(literal -2 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (/.f64 (sqrt.f64 x) y) #s(literal 2 binary64))
(pow.f64 (/.f64 (pow.f64 y #s(literal 2 binary64)) x) #s(literal -1 binary64))
(neg.f64 (*.f64 x (pow.f64 y #s(literal -2 binary64))))
(sqrt.f64 (pow.f64 (*.f64 x (pow.f64 y #s(literal -2 binary64))) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 (pow.f64 y #s(literal -2 binary64))) x))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x (pow.f64 y #s(literal -2 binary64))))))
(cbrt.f64 (pow.f64 (*.f64 x (pow.f64 y #s(literal -2 binary64))) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) y) #s(literal 3 binary64)) (pow.f64 (/.f64 x y) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 x y) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal -1 binary64) y) #s(literal 3 binary64))))
(cbrt.f64 (/.f64 (pow.f64 (/.f64 #s(literal -1 binary64) y) #s(literal 3 binary64)) (pow.f64 (/.f64 y x) #s(literal 3 binary64))))
(cbrt.f64 (/.f64 (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 (/.f64 (pow.f64 y #s(literal 2 binary64)) (sqrt.f64 x)) #s(literal 3 binary64))))
(cbrt.f64 (/.f64 (pow.f64 (/.f64 x y) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 x (pow.f64 y #s(literal -2 binary64)))))
(log1p.f64 (expm1.f64 (*.f64 x (pow.f64 y #s(literal -2 binary64)))))
(exp.f64 (log.f64 (*.f64 x (pow.f64 y #s(literal -2 binary64)))))
(exp.f64 (*.f64 (log.f64 (*.f64 x (pow.f64 y #s(literal -2 binary64)))) #s(literal 1 binary64)))

simplify268.0ms (6.9%)

Algorithm
egg-herbie
Rules
347×times-frac
294×exp-prod
293×distribute-lft-neg-in
286×distribute-rgt-neg-in
271×associate-/r*
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
055617994
1114017362
2477317250
Stop Event
node limit
Counts
726 → 356
Calls
Call 1
Inputs
(/.f64 x (pow.f64 y #s(literal 2 binary64)))
(/.f64 x (pow.f64 y #s(literal 2 binary64)))
(/.f64 x (pow.f64 y #s(literal 2 binary64)))
(/.f64 x (pow.f64 y #s(literal 2 binary64)))
(/.f64 x (pow.f64 y #s(literal 2 binary64)))
(/.f64 x (pow.f64 y #s(literal 2 binary64)))
(/.f64 x (pow.f64 y #s(literal 2 binary64)))
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(/.f64 x (pow.f64 y #s(literal 2 binary64)))
(/.f64 x (pow.f64 y #s(literal 2 binary64)))
(/.f64 x (pow.f64 y #s(literal 2 binary64)))
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(*.f64 (/.f64 (sqrt.f64 (/.f64 x y)) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (/.f64 (sqrt.f64 (/.f64 x y)) (cbrt.f64 y)))
(*.f64 (/.f64 (sqrt.f64 x) (pow.f64 y #s(literal 2 binary64))) (sqrt.f64 x))
(*.f64 (*.f64 (pow.f64 y #s(literal -2 binary64)) #s(literal 1 binary64)) x)
(*.f64 (*.f64 (/.f64 #s(literal -1 binary64) y) (pow.f64 (cbrt.f64 (/.f64 x y)) #s(literal 2 binary64))) (cbrt.f64 (/.f64 x y)))
(*.f64 (*.f64 (/.f64 #s(literal -1 binary64) y) (sqrt.f64 (/.f64 x y))) (sqrt.f64 (/.f64 x y)))
(*.f64 (*.f64 (pow.f64 y #s(literal -2 binary64)) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 x))
(*.f64 (*.f64 (/.f64 x y) (cbrt.f64 (pow.f64 y #s(literal -2 binary64)))) (/.f64 #s(literal 1 binary64) (cbrt.f64 y)))
(*.f64 (*.f64 (/.f64 x y) (pow.f64 y #s(literal -1/2 binary64))) (pow.f64 y #s(literal -1/2 binary64)))
(*.f64 (/.f64 (/.f64 #s(literal -1 binary64) y) #s(literal 1 binary64)) (/.f64 x y))
(pow.f64 (*.f64 x (pow.f64 y #s(literal -2 binary64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 x (pow.f64 y #s(literal -2 binary64)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 x (pow.f64 y #s(literal -2 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (/.f64 (sqrt.f64 x) y) #s(literal 2 binary64))
(pow.f64 (/.f64 (pow.f64 y #s(literal 2 binary64)) x) #s(literal -1 binary64))
(neg.f64 (*.f64 x (pow.f64 y #s(literal -2 binary64))))
(sqrt.f64 (pow.f64 (*.f64 x (pow.f64 y #s(literal -2 binary64))) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 (pow.f64 y #s(literal -2 binary64))) x))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x (pow.f64 y #s(literal -2 binary64))))))
(cbrt.f64 (pow.f64 (*.f64 x (pow.f64 y #s(literal -2 binary64))) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) y) #s(literal 3 binary64)) (pow.f64 (/.f64 x y) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 x y) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal -1 binary64) y) #s(literal 3 binary64))))
(cbrt.f64 (/.f64 (pow.f64 (/.f64 #s(literal -1 binary64) y) #s(literal 3 binary64)) (pow.f64 (/.f64 y x) #s(literal 3 binary64))))
(cbrt.f64 (/.f64 (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 (/.f64 (pow.f64 y #s(literal 2 binary64)) (sqrt.f64 x)) #s(literal 3 binary64))))
(cbrt.f64 (/.f64 (pow.f64 (/.f64 x y) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 x (pow.f64 y #s(literal -2 binary64)))))
(log1p.f64 (expm1.f64 (*.f64 x (pow.f64 y #s(literal -2 binary64)))))
(exp.f64 (log.f64 (*.f64 x (pow.f64 y #s(literal -2 binary64)))))
(exp.f64 (*.f64 (log.f64 (*.f64 x (pow.f64 y #s(literal -2 binary64)))) #s(literal 1 binary64)))
Outputs
(/.f64 x (pow.f64 y #s(literal 2 binary64)))
(/.f64 x (pow.f64 y #s(literal 2 binary64)))
(/.f64 x (pow.f64 y #s(literal 2 binary64)))
(/.f64 x (pow.f64 y #s(literal 2 binary64)))
(/.f64 x (pow.f64 y #s(literal 2 binary64)))
(/.f64 x (pow.f64 y #s(literal 2 binary64)))
(/.f64 x (pow.f64 y #s(literal 2 binary64)))
(/.f64 x (pow.f64 y #s(literal 2 binary64)))
(/.f64 x (pow.f64 y #s(literal 2 binary64)))
(/.f64 x (pow.f64 y #s(literal 2 binary64)))
(/.f64 x (pow.f64 y #s(literal 2 binary64)))
(/.f64 x (pow.f64 y #s(literal 2 binary64)))
(/.f64 x (pow.f64 y #s(literal 2 binary64)))
(/.f64 x (pow.f64 y #s(literal 2 binary64)))
(/.f64 x (pow.f64 y #s(literal 2 binary64)))
(/.f64 x (pow.f64 y #s(literal 2 binary64)))
(/.f64 x (pow.f64 y #s(literal 2 binary64)))
(/.f64 x (pow.f64 y #s(literal 2 binary64)))
(/.f64 x (pow.f64 y #s(literal 2 binary64)))
(/.f64 x (pow.f64 y #s(literal 2 binary64)))
(/.f64 x (pow.f64 y #s(literal 2 binary64)))
(/.f64 x (pow.f64 y #s(literal 2 binary64)))
(/.f64 x (pow.f64 y #s(literal 2 binary64)))
(/.f64 x (pow.f64 y #s(literal 2 binary64)))
(*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) x))
(/.f64 (pow.f64 y #s(literal 2 binary64)) (neg.f64 x))
(*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) x))
(/.f64 (pow.f64 y #s(literal 2 binary64)) (neg.f64 x))
(*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) x))
(/.f64 (pow.f64 y #s(literal 2 binary64)) (neg.f64 x))
(*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) x))
(/.f64 (pow.f64 y #s(literal 2 binary64)) (neg.f64 x))
(*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) x))
(/.f64 (pow.f64 y #s(literal 2 binary64)) (neg.f64 x))
(*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) x))
(/.f64 (pow.f64 y #s(literal 2 binary64)) (neg.f64 x))
(*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) x))
(/.f64 (pow.f64 y #s(literal 2 binary64)) (neg.f64 x))
(*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) x))
(/.f64 (pow.f64 y #s(literal 2 binary64)) (neg.f64 x))
(*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) x))
(/.f64 (pow.f64 y #s(literal 2 binary64)) (neg.f64 x))
(*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) x))
(/.f64 (pow.f64 y #s(literal 2 binary64)) (neg.f64 x))
(*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) x))
(/.f64 (pow.f64 y #s(literal 2 binary64)) (neg.f64 x))
(*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) x))
(/.f64 (pow.f64 y #s(literal 2 binary64)) (neg.f64 x))
(*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) x))
(/.f64 (pow.f64 y #s(literal 2 binary64)) (neg.f64 x))
(*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) x))
(/.f64 (pow.f64 y #s(literal 2 binary64)) (neg.f64 x))
(*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) x))
(/.f64 (pow.f64 y #s(literal 2 binary64)) (neg.f64 x))
(*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) x))
(/.f64 (pow.f64 y #s(literal 2 binary64)) (neg.f64 x))
(*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) x))
(/.f64 (pow.f64 y #s(literal 2 binary64)) (neg.f64 x))
(*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) x))
(/.f64 (pow.f64 y #s(literal 2 binary64)) (neg.f64 x))
(*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) x))
(/.f64 (pow.f64 y #s(literal 2 binary64)) (neg.f64 x))
(*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) x))
(/.f64 (pow.f64 y #s(literal 2 binary64)) (neg.f64 x))
(*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) x))
(/.f64 (pow.f64 y #s(literal 2 binary64)) (neg.f64 x))
(*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) x))
(/.f64 (pow.f64 y #s(literal 2 binary64)) (neg.f64 x))
(*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) x))
(/.f64 (pow.f64 y #s(literal 2 binary64)) (neg.f64 x))
(*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) x))
(/.f64 (pow.f64 y #s(literal 2 binary64)) (neg.f64 x))
(*.f64 #s(literal -1 binary64) y)
(neg.f64 y)
(*.f64 #s(literal -1 binary64) y)
(neg.f64 y)
(*.f64 #s(literal -1 binary64) y)
(neg.f64 y)
(*.f64 #s(literal -1 binary64) y)
(neg.f64 y)
(*.f64 #s(literal -1 binary64) y)
(neg.f64 y)
(*.f64 #s(literal -1 binary64) y)
(neg.f64 y)
(*.f64 #s(literal -1 binary64) y)
(neg.f64 y)
(*.f64 #s(literal -1 binary64) y)
(neg.f64 y)
(*.f64 #s(literal -1 binary64) y)
(neg.f64 y)
(*.f64 #s(literal -1 binary64) y)
(neg.f64 y)
(*.f64 #s(literal -1 binary64) y)
(neg.f64 y)
(*.f64 #s(literal -1 binary64) y)
(neg.f64 y)
(/.f64 x (pow.f64 y #s(literal 2 binary64)))
(/.f64 x (pow.f64 y #s(literal 2 binary64)))
(/.f64 x (pow.f64 y #s(literal 2 binary64)))
(/.f64 x (pow.f64 y #s(literal 2 binary64)))
(/.f64 x (pow.f64 y #s(literal 2 binary64)))
(/.f64 x (pow.f64 y #s(literal 2 binary64)))
(/.f64 x (pow.f64 y #s(literal 2 binary64)))
(/.f64 x (pow.f64 y #s(literal 2 binary64)))
(*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (pow.f64 y #s(literal 2 binary64))))
(/.f64 x (pow.f64 y #s(literal 2 binary64)))
(*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (pow.f64 y #s(literal 2 binary64))))
(/.f64 x (pow.f64 y #s(literal 2 binary64)))
(*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (pow.f64 y #s(literal 2 binary64))))
(/.f64 x (pow.f64 y #s(literal 2 binary64)))
(*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (pow.f64 y #s(literal 2 binary64))))
(/.f64 x (pow.f64 y #s(literal 2 binary64)))
(/.f64 x (pow.f64 y #s(literal 2 binary64)))
(/.f64 x (pow.f64 y #s(literal 2 binary64)))
(/.f64 x (pow.f64 y #s(literal 2 binary64)))
(/.f64 x (pow.f64 y #s(literal 2 binary64)))
(/.f64 x (pow.f64 y #s(literal 2 binary64)))
(/.f64 x (pow.f64 y #s(literal 2 binary64)))
(/.f64 x (pow.f64 y #s(literal 2 binary64)))
(/.f64 x (pow.f64 y #s(literal 2 binary64)))
(/.f64 x (pow.f64 y #s(literal 2 binary64)))
(/.f64 x (pow.f64 y #s(literal 2 binary64)))
(/.f64 x (pow.f64 y #s(literal 2 binary64)))
(/.f64 x (pow.f64 y #s(literal 2 binary64)))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (pow.f64 y #s(literal 2 binary64)))
(*.f64 (pow.f64 y #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (pow.f64 y #s(literal 2 binary64)))
(*.f64 (pow.f64 y #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (pow.f64 y #s(literal 2 binary64)))
(*.f64 (pow.f64 y #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (pow.f64 y #s(literal 2 binary64)))
(*.f64 (pow.f64 y #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (pow.f64 y #s(literal 2 binary64)))
(*.f64 (pow.f64 y #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (pow.f64 y #s(literal 2 binary64)))
(*.f64 (pow.f64 y #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (pow.f64 y #s(literal 2 binary64)))
(*.f64 (pow.f64 y #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (pow.f64 y #s(literal 2 binary64)))
(*.f64 (pow.f64 y #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (pow.f64 y #s(literal 2 binary64)))
(*.f64 (pow.f64 y #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (pow.f64 y #s(literal 2 binary64)))
(*.f64 (pow.f64 y #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (pow.f64 y #s(literal 2 binary64)))
(*.f64 (pow.f64 y #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (pow.f64 y #s(literal 2 binary64)))
(*.f64 (pow.f64 y #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (pow.f64 y #s(literal 2 binary64)))
(*.f64 (pow.f64 y #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (pow.f64 y #s(literal 2 binary64)))
(*.f64 (pow.f64 y #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (pow.f64 y #s(literal 2 binary64)))
(*.f64 (pow.f64 y #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (pow.f64 y #s(literal 2 binary64)))
(*.f64 (pow.f64 y #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (pow.f64 y #s(literal 2 binary64)))
(*.f64 (pow.f64 y #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (pow.f64 y #s(literal 2 binary64)))
(*.f64 (pow.f64 y #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (pow.f64 y #s(literal 2 binary64)))
(*.f64 (pow.f64 y #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (pow.f64 y #s(literal 2 binary64)))
(*.f64 (pow.f64 y #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (pow.f64 y #s(literal 2 binary64)))
(*.f64 (pow.f64 y #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (pow.f64 y #s(literal 2 binary64)))
(*.f64 (pow.f64 y #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (pow.f64 y #s(literal 2 binary64)))
(*.f64 (pow.f64 y #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (pow.f64 y #s(literal 2 binary64)))
(*.f64 (pow.f64 y #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y)
(*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y)
(*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y)
(*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y)
(*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y)
(*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y)
(*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y)
(*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y)
(*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y)
(*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y)
(*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y)
(*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y)
(*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y)
(*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y)
(*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y)
(*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y)
(*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y)
(*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y)
(*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y)
(*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y)
(*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y)
(*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y)
(*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y)
(*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y)
(*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
(/.f64 x (pow.f64 y #s(literal 2 binary64)))
(/.f64 x (pow.f64 y #s(literal 2 binary64)))
(/.f64 x (pow.f64 y #s(literal 2 binary64)))
(/.f64 x (pow.f64 y #s(literal 2 binary64)))
(/.f64 x (pow.f64 y #s(literal 2 binary64)))
(/.f64 x (pow.f64 y #s(literal 2 binary64)))
(/.f64 x (pow.f64 y #s(literal 2 binary64)))
(/.f64 x (pow.f64 y #s(literal 2 binary64)))
(/.f64 x (pow.f64 y #s(literal 2 binary64)))
(/.f64 x (pow.f64 y #s(literal 2 binary64)))
(/.f64 x (pow.f64 y #s(literal 2 binary64)))
(/.f64 x (pow.f64 y #s(literal 2 binary64)))
(/.f64 x (pow.f64 y #s(literal 2 binary64)))
(/.f64 x (pow.f64 y #s(literal 2 binary64)))
(/.f64 x (pow.f64 y #s(literal 2 binary64)))
(/.f64 x (pow.f64 y #s(literal 2 binary64)))
(/.f64 x (pow.f64 y #s(literal 2 binary64)))
(/.f64 x (pow.f64 y #s(literal 2 binary64)))
(/.f64 x (pow.f64 y #s(literal 2 binary64)))
(/.f64 x (pow.f64 y #s(literal 2 binary64)))
(/.f64 x (pow.f64 y #s(literal 2 binary64)))
(/.f64 x (pow.f64 y #s(literal 2 binary64)))
(/.f64 x (pow.f64 y #s(literal 2 binary64)))
(/.f64 x (pow.f64 y #s(literal 2 binary64)))
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(*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 x y)) #s(literal 2 binary64)) (sqrt.f64 y)) (/.f64 (cbrt.f64 (/.f64 x y)) (sqrt.f64 y)))
(/.f64 x (pow.f64 y #s(literal 2 binary64)))
(*.f64 (/.f64 (sqrt.f64 (/.f64 x y)) #s(literal 1 binary64)) (/.f64 (sqrt.f64 (/.f64 x y)) y))
(/.f64 x (pow.f64 y #s(literal 2 binary64)))
(*.f64 (/.f64 (sqrt.f64 (/.f64 x y)) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (/.f64 (sqrt.f64 (/.f64 x y)) (cbrt.f64 y)))
(/.f64 x (pow.f64 y #s(literal 2 binary64)))
(*.f64 (/.f64 (sqrt.f64 x) (pow.f64 y #s(literal 2 binary64))) (sqrt.f64 x))
(/.f64 x (pow.f64 y #s(literal 2 binary64)))
(*.f64 (*.f64 (pow.f64 y #s(literal -2 binary64)) #s(literal 1 binary64)) x)
(*.f64 x (pow.f64 y #s(literal -2 binary64)))
(*.f64 (*.f64 (/.f64 #s(literal -1 binary64) y) (pow.f64 (cbrt.f64 (/.f64 x y)) #s(literal 2 binary64))) (cbrt.f64 (/.f64 x y)))
(*.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 x y))
(/.f64 (neg.f64 x) (pow.f64 y #s(literal 2 binary64)))
(*.f64 (*.f64 (/.f64 #s(literal -1 binary64) y) (sqrt.f64 (/.f64 x y))) (sqrt.f64 (/.f64 x y)))
(*.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 x y))
(/.f64 (neg.f64 x) (pow.f64 y #s(literal 2 binary64)))
(*.f64 (*.f64 (pow.f64 y #s(literal -2 binary64)) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 x))
(*.f64 x (pow.f64 y #s(literal -2 binary64)))
(*.f64 (*.f64 (/.f64 x y) (cbrt.f64 (pow.f64 y #s(literal -2 binary64)))) (/.f64 #s(literal 1 binary64) (cbrt.f64 y)))
(*.f64 (cbrt.f64 (pow.f64 y #s(literal -2 binary64))) (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 y)) y) x))
(*.f64 (cbrt.f64 (pow.f64 y #s(literal -2 binary64))) (/.f64 (/.f64 x y) (cbrt.f64 y)))
(*.f64 (cbrt.f64 (pow.f64 y #s(literal -2 binary64))) (/.f64 x (pow.f64 (cbrt.f64 y) #s(literal 4 binary64))))
(*.f64 (*.f64 (/.f64 x y) (pow.f64 y #s(literal -1/2 binary64))) (pow.f64 y #s(literal -1/2 binary64)))
(/.f64 x (pow.f64 y #s(literal 2 binary64)))
(*.f64 (/.f64 (/.f64 #s(literal -1 binary64) y) #s(literal 1 binary64)) (/.f64 x y))
(*.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 x y))
(/.f64 (neg.f64 x) (pow.f64 y #s(literal 2 binary64)))
(pow.f64 (*.f64 x (pow.f64 y #s(literal -2 binary64))) #s(literal 1 binary64))
(*.f64 x (pow.f64 y #s(literal -2 binary64)))
(pow.f64 (cbrt.f64 (*.f64 x (pow.f64 y #s(literal -2 binary64)))) #s(literal 3 binary64))
(*.f64 x (pow.f64 y #s(literal -2 binary64)))
(pow.f64 (pow.f64 (*.f64 x (pow.f64 y #s(literal -2 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(*.f64 x (pow.f64 y #s(literal -2 binary64)))
(pow.f64 (/.f64 (sqrt.f64 x) y) #s(literal 2 binary64))
(/.f64 x (pow.f64 y #s(literal 2 binary64)))
(pow.f64 (/.f64 (pow.f64 y #s(literal 2 binary64)) x) #s(literal -1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) x))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))) x)
(neg.f64 (*.f64 x (pow.f64 y #s(literal -2 binary64))))
(*.f64 x (neg.f64 (pow.f64 y #s(literal -2 binary64))))
(sqrt.f64 (pow.f64 (*.f64 x (pow.f64 y #s(literal -2 binary64))) #s(literal 2 binary64)))
(fabs.f64 (*.f64 x (pow.f64 y #s(literal -2 binary64))))
(log.f64 (pow.f64 (exp.f64 (pow.f64 y #s(literal -2 binary64))) x))
(*.f64 x (pow.f64 y #s(literal -2 binary64)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x (pow.f64 y #s(literal -2 binary64))))))
(*.f64 x (pow.f64 y #s(literal -2 binary64)))
(cbrt.f64 (pow.f64 (*.f64 x (pow.f64 y #s(literal -2 binary64))) #s(literal 3 binary64)))
(*.f64 x (pow.f64 y #s(literal -2 binary64)))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) y) #s(literal 3 binary64)) (pow.f64 (/.f64 x y) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (/.f64 #s(literal -1 binary64) (pow.f64 y #s(literal 3 binary64))) (pow.f64 (/.f64 x y) #s(literal 3 binary64))))
(cbrt.f64 (/.f64 (neg.f64 (pow.f64 (/.f64 x y) #s(literal 3 binary64))) (pow.f64 y #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 x y) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal -1 binary64) y) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (/.f64 #s(literal -1 binary64) (pow.f64 y #s(literal 3 binary64))) (pow.f64 (/.f64 x y) #s(literal 3 binary64))))
(cbrt.f64 (/.f64 (neg.f64 (pow.f64 (/.f64 x y) #s(literal 3 binary64))) (pow.f64 y #s(literal 3 binary64))))
(cbrt.f64 (/.f64 (pow.f64 (/.f64 #s(literal -1 binary64) y) #s(literal 3 binary64)) (pow.f64 (/.f64 y x) #s(literal 3 binary64))))
(cbrt.f64 (/.f64 (/.f64 #s(literal -1 binary64) (pow.f64 y #s(literal 3 binary64))) (pow.f64 (/.f64 y x) #s(literal 3 binary64))))
(cbrt.f64 (/.f64 #s(literal -1 binary64) (pow.f64 (/.f64 (pow.f64 y #s(literal 2 binary64)) x) #s(literal 3 binary64))))
(cbrt.f64 (/.f64 #s(literal -1 binary64) (/.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 3 binary64)))))
(cbrt.f64 (/.f64 (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 (/.f64 (pow.f64 y #s(literal 2 binary64)) (sqrt.f64 x)) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (/.f64 (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 y #s(literal 6 binary64))) (pow.f64 (sqrt.f64 x) #s(literal 3 binary64))))
(cbrt.f64 (/.f64 (pow.f64 (/.f64 x y) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))
(cbrt.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (pow.f64 y #s(literal 2 binary64)) #s(literal 3 binary64))))
(cbrt.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 6 binary64))))
(expm1.f64 (log1p.f64 (*.f64 x (pow.f64 y #s(literal -2 binary64)))))
(log1p.f64 (expm1.f64 (*.f64 x (pow.f64 y #s(literal -2 binary64)))))
(*.f64 x (pow.f64 y #s(literal -2 binary64)))
(exp.f64 (log.f64 (*.f64 x (pow.f64 y #s(literal -2 binary64)))))
(*.f64 x (pow.f64 y #s(literal -2 binary64)))
(exp.f64 (*.f64 (log.f64 (*.f64 x (pow.f64 y #s(literal -2 binary64)))) #s(literal 1 binary64)))
(*.f64 x (pow.f64 y #s(literal -2 binary64)))

eval74.0ms (1.9%)

Compiler

Compiled 6657 to 1505 computations (77.4% saved)

prune105.0ms (2.7%)

Pruning

7 alts after pruning (2 fresh and 5 done)

PrunedKeptTotal
New5592561
Fresh000
Picked134
Done022
Total5607567
Accuracy
100.0%
Counts
567 → 7
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.5%
(pow.f64 (/.f64 (sqrt.f64 x) y) #s(literal 2 binary64))
99.5%
(/.f64 (pow.f64 (sqrt.f64 (/.f64 x y)) #s(literal 2 binary64)) y)
99.8%
(/.f64 (/.f64 x y) y)
99.7%
(/.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 y x))
99.7%
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) y) x) y)
85.0%
(/.f64 x (*.f64 y y))
99.5%
(/.f64 #s(literal -1 binary64) (*.f64 (/.f64 y x) (neg.f64 y)))
Compiler

Compiled 60 to 40 computations (33.3% saved)

simplify10.0ms (0.3%)

Algorithm
egg-herbie
Localize:

Found 7 expressions of interest:

NewMetricScoreProgram
cost-diff-128
(/.f64 x y)
cost-diff0
(sqrt.f64 (/.f64 x y))
cost-diff12864
(pow.f64 (sqrt.f64 (/.f64 x y)) #s(literal 2 binary64))
cost-diff12864
(/.f64 (pow.f64 (sqrt.f64 (/.f64 x y)) #s(literal 2 binary64)) y)
cost-diff0
(/.f64 #s(literal 1 binary64) y)
cost-diff128
(*.f64 (/.f64 #s(literal 1 binary64) y) x)
cost-diff128
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) y) x) y)
Rules
15×associate-*r*
*-commutative
associate-*l*
*-lft-identity
associate-/l*
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
017158
127128
239128
363128
478128
581128
Stop Event
saturated
Calls
Call 1
Inputs
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) y) x) y)
(*.f64 (/.f64 #s(literal 1 binary64) y) x)
(/.f64 #s(literal 1 binary64) y)
#s(literal 1 binary64)
y
x
(/.f64 (pow.f64 (sqrt.f64 (/.f64 x y)) #s(literal 2 binary64)) y)
(pow.f64 (sqrt.f64 (/.f64 x y)) #s(literal 2 binary64))
(sqrt.f64 (/.f64 x y))
(/.f64 x y)
x
y
#s(literal 2 binary64)
Outputs
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) y) x) y)
(*.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 x y))
(/.f64 x (*.f64 y y))
(/.f64 (/.f64 x y) y)
(*.f64 (/.f64 #s(literal 1 binary64) y) x)
(/.f64 x y)
(/.f64 #s(literal 1 binary64) y)
#s(literal 1 binary64)
y
x
(/.f64 (pow.f64 (sqrt.f64 (/.f64 x y)) #s(literal 2 binary64)) y)
(*.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 x y))
(/.f64 x (*.f64 y y))
(/.f64 (/.f64 x y) y)
(pow.f64 (sqrt.f64 (/.f64 x y)) #s(literal 2 binary64))
(*.f64 (/.f64 #s(literal 1 binary64) y) x)
(/.f64 x y)
(sqrt.f64 (/.f64 x y))
(/.f64 x y)
(*.f64 (/.f64 #s(literal 1 binary64) y) x)
x
y
#s(literal 2 binary64)

localize45.0ms (1.2%)

Localize:

Found 7 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(/.f64 x y)
accuracy99.8%
(/.f64 (pow.f64 (sqrt.f64 (/.f64 x y)) #s(literal 2 binary64)) y)
accuracy99.4%
(pow.f64 (sqrt.f64 (/.f64 x y)) #s(literal 2 binary64))
accuracy79.9%
(sqrt.f64 (/.f64 x y))
accuracy100.0%
(/.f64 #s(literal 1 binary64) y)
accuracy99.8%
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) y) x) y)
accuracy99.6%
(*.f64 (/.f64 #s(literal 1 binary64) y) x)
Results
31.0ms256×0valid
Compiler

Compiled 45 to 12 computations (73.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 15.0ms
ival-div: 8.0ms (51.8% of total)
ival-pow: 3.0ms (19.4% of total)
ival-mult: 2.0ms (13% of total)
ival-sqrt: 2.0ms (13% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

series9.0ms (0.2%)

Counts
5 → 104
Calls
Call 1
Inputs
#<alt (/.f64 (*.f64 (/.f64 #s(literal 1 binary64) y) x) y)>
#<alt (*.f64 (/.f64 #s(literal 1 binary64) y) x)>
#<alt (/.f64 (pow.f64 (sqrt.f64 (/.f64 x y)) #s(literal 2 binary64)) y)>
#<alt (pow.f64 (sqrt.f64 (/.f64 x y)) #s(literal 2 binary64))>
#<alt (sqrt.f64 (/.f64 x y))>
Outputs
#<alt (/.f64 x (pow.f64 y #s(literal 2 binary64)))>
#<alt (/.f64 x (pow.f64 y #s(literal 2 binary64)))>
#<alt (/.f64 x (pow.f64 y #s(literal 2 binary64)))>
#<alt (/.f64 x (pow.f64 y #s(literal 2 binary64)))>
#<alt (/.f64 x (pow.f64 y #s(literal 2 binary64)))>
#<alt (/.f64 x (pow.f64 y #s(literal 2 binary64)))>
#<alt (/.f64 x (pow.f64 y #s(literal 2 binary64)))>
#<alt (/.f64 x (pow.f64 y #s(literal 2 binary64)))>
#<alt (/.f64 x (pow.f64 y #s(literal 2 binary64)))>
#<alt (/.f64 x (pow.f64 y #s(literal 2 binary64)))>
#<alt (/.f64 x (pow.f64 y #s(literal 2 binary64)))>
#<alt (/.f64 x (pow.f64 y #s(literal 2 binary64)))>
#<alt (/.f64 x (pow.f64 y #s(literal 2 binary64)))>
#<alt (/.f64 x (pow.f64 y #s(literal 2 binary64)))>
#<alt (/.f64 x (pow.f64 y #s(literal 2 binary64)))>
#<alt (/.f64 x (pow.f64 y #s(literal 2 binary64)))>
#<alt (/.f64 x (pow.f64 y #s(literal 2 binary64)))>
#<alt (/.f64 x (pow.f64 y #s(literal 2 binary64)))>
#<alt (/.f64 x (pow.f64 y #s(literal 2 binary64)))>
#<alt (/.f64 x (pow.f64 y #s(literal 2 binary64)))>
#<alt (/.f64 x (pow.f64 y #s(literal 2 binary64)))>
#<alt (/.f64 x (pow.f64 y #s(literal 2 binary64)))>
#<alt (/.f64 x (pow.f64 y #s(literal 2 binary64)))>
#<alt (/.f64 x (pow.f64 y #s(literal 2 binary64)))>
#<alt (/.f64 x y)>
#<alt (/.f64 x y)>
#<alt (/.f64 x y)>
#<alt (/.f64 x y)>
#<alt (/.f64 x y)>
#<alt (/.f64 x y)>
#<alt (/.f64 x y)>
#<alt (/.f64 x y)>
#<alt (/.f64 x y)>
#<alt (/.f64 x y)>
#<alt (/.f64 x y)>
#<alt (/.f64 x y)>
#<alt (/.f64 x y)>
#<alt (/.f64 x y)>
#<alt (/.f64 x y)>
#<alt (/.f64 x y)>
#<alt (/.f64 x y)>
#<alt (/.f64 x y)>
#<alt (/.f64 x y)>
#<alt (/.f64 x y)>
#<alt (/.f64 x y)>
#<alt (/.f64 x y)>
#<alt (/.f64 x y)>
#<alt (/.f64 x y)>
#<alt (/.f64 x (pow.f64 y #s(literal 2 binary64)))>
#<alt (/.f64 x (pow.f64 y #s(literal 2 binary64)))>
#<alt (/.f64 x (pow.f64 y #s(literal 2 binary64)))>
#<alt (/.f64 x (pow.f64 y #s(literal 2 binary64)))>
#<alt (/.f64 x (pow.f64 y #s(literal 2 binary64)))>
#<alt (/.f64 x (pow.f64 y #s(literal 2 binary64)))>
#<alt (/.f64 x (pow.f64 y #s(literal 2 binary64)))>
#<alt (/.f64 x (pow.f64 y #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (pow.f64 y #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (pow.f64 y #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (pow.f64 y #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (pow.f64 y #s(literal 2 binary64))))>
#<alt (/.f64 x (pow.f64 y #s(literal 2 binary64)))>
#<alt (/.f64 x (pow.f64 y #s(literal 2 binary64)))>
#<alt (/.f64 x (pow.f64 y #s(literal 2 binary64)))>
#<alt (/.f64 x (pow.f64 y #s(literal 2 binary64)))>
#<alt (/.f64 x (pow.f64 y #s(literal 2 binary64)))>
#<alt (/.f64 x (pow.f64 y #s(literal 2 binary64)))>
#<alt (/.f64 x (pow.f64 y #s(literal 2 binary64)))>
#<alt (/.f64 x (pow.f64 y #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (pow.f64 y #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (pow.f64 y #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (pow.f64 y #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (pow.f64 y #s(literal 2 binary64))))>
#<alt (/.f64 x y)>
#<alt (/.f64 x y)>
#<alt (/.f64 x y)>
#<alt (/.f64 x y)>
#<alt (/.f64 x y)>
#<alt (/.f64 x y)>
#<alt (/.f64 x y)>
#<alt (/.f64 x y)>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) y))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) y))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) y))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) y))>
#<alt (/.f64 x y)>
#<alt (/.f64 x y)>
#<alt (/.f64 x y)>
#<alt (/.f64 x y)>
#<alt (/.f64 x y)>
#<alt (/.f64 x y)>
#<alt (/.f64 x y)>
#<alt (/.f64 x y)>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) y))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) y))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) y))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) y))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 (/.f64 x y)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 (/.f64 x y)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 (/.f64 x y)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 (/.f64 x y)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))>
#<alt (*.f64 (sqrt.f64 (/.f64 x y)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))>
#<alt (*.f64 (sqrt.f64 (/.f64 x y)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))>
#<alt (*.f64 (sqrt.f64 (/.f64 x y)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))>
#<alt (*.f64 (sqrt.f64 (/.f64 x y)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))>
Calls

30 calls:

TimeVariablePointExpression
1.0ms
y
@-inf
(/ (pow (sqrt (/ x y)) 2) y)
1.0ms
y
@-inf
(pow (sqrt (/ x y)) 2)
0.0ms
x
@-inf
(pow (sqrt (/ x y)) 2)
0.0ms
x
@-inf
(sqrt (/ x y))
0.0ms
y
@-inf
(sqrt (/ x y))

rewrite108.0ms (2.8%)

Algorithm
batch-egg-rewrite
Rules
671×log1p-expm1-u
671×expm1-log1p-u
402×log-prod
268×pow-prod-down
177×pow-unpow
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01787
121981
2203981
Stop Event
node limit
Counts
5 → 277
Calls
Call 1
Inputs
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) y) x) y)
(*.f64 (/.f64 #s(literal 1 binary64) y) x)
(/.f64 (pow.f64 (sqrt.f64 (/.f64 x y)) #s(literal 2 binary64)) y)
(pow.f64 (sqrt.f64 (/.f64 x y)) #s(literal 2 binary64))
(sqrt.f64 (/.f64 x y))
Outputs
(+.f64 #s(literal 0 binary64) (*.f64 x (pow.f64 y #s(literal -2 binary64))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (pow.f64 y #s(literal -2 binary64)))) #s(literal 2 binary64))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (pow.f64 y #s(literal -2 binary64))))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (pow.f64 y #s(literal -2 binary64))))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (pow.f64 y #s(literal -2 binary64))))))
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(*.f64 (pow.f64 (/.f64 y x) #s(literal -1/4 binary64)) (pow.f64 (/.f64 x y) #s(literal 3/4 binary64)))
(*.f64 (pow.f64 y #s(literal -1/2 binary64)) (/.f64 x (sqrt.f64 y)))
(*.f64 (pow.f64 y #s(literal -1/2 binary64)) (*.f64 (pow.f64 y #s(literal -1/2 binary64)) x))
(*.f64 (neg.f64 x) (/.f64 #s(literal 1 binary64) (neg.f64 y)))
(*.f64 (pow.f64 (cbrt.f64 y) #s(literal -2 binary64)) (/.f64 x (cbrt.f64 y)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (cbrt.f64 x) y))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (cbrt.f64 (/.f64 x y)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (sqrt.f64 y)) (/.f64 (cbrt.f64 x) (sqrt.f64 y)))
(*.f64 (/.f64 (sqrt.f64 x) #s(literal 1 binary64)) (/.f64 (sqrt.f64 x) y))
(*.f64 (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (/.f64 (sqrt.f64 x) (cbrt.f64 y)))
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) y) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 x))
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) y) (sqrt.f64 x)) (sqrt.f64 x))
(*.f64 (*.f64 x (cbrt.f64 (pow.f64 y #s(literal -2 binary64)))) (/.f64 #s(literal 1 binary64) (cbrt.f64 y)))
(*.f64 (*.f64 x (pow.f64 y #s(literal -1/2 binary64))) (pow.f64 y #s(literal -1/2 binary64)))
(*.f64 (pow.f64 (/.f64 x y) #s(literal 5/6 binary64)) (pow.f64 (/.f64 x y) #s(literal 1/6 binary64)))
(*.f64 (pow.f64 (/.f64 x y) #s(literal 3/4 binary64)) (pow.f64 (/.f64 y x) #s(literal -1/4 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 y x))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 y x) #s(literal 1 binary64)))
(/.f64 x y)
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 y x)))
(/.f64 (neg.f64 x) (neg.f64 y))
(/.f64 (*.f64 x #s(literal -1 binary64)) (neg.f64 y))
(/.f64 (neg.f64 (neg.f64 x)) (neg.f64 (neg.f64 y)))
(/.f64 (/.f64 x (sqrt.f64 y)) (sqrt.f64 y))
(/.f64 (/.f64 x #s(literal 1 binary64)) y)
(/.f64 (/.f64 x (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (cbrt.f64 y))
(/.f64 (pow.f64 (*.f64 (/.f64 x y) x) #s(literal 1/2 binary64)) (sqrt.f64 y))
(/.f64 (pow.f64 (*.f64 x (/.f64 x y)) #s(literal 1/2 binary64)) (sqrt.f64 y))
(neg.f64 (/.f64 x (neg.f64 y)))
(sqrt.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)))
(log.f64 (exp.f64 (/.f64 x y)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 x y))))
(cbrt.f64 (pow.f64 (/.f64 y x) #s(literal -3 binary64)))
(cbrt.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (/.f64 x y)))
(log1p.f64 (expm1.f64 (/.f64 x y)))
(exp.f64 (log.f64 (/.f64 x y)))
(exp.f64 (*.f64 (log.f64 (/.f64 x y)) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (/.f64 x y))) #s(literal 3 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64))) #s(literal 1/2 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (/.f64 y x) #s(literal -3 binary64))) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (/.f64 y x)) #s(literal -1 binary64)))
(exp.f64 (*.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 x y))) #s(literal 1 binary64)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (*.f64 (log.f64 (/.f64 x y)) #s(literal 1/2 binary64)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (*.f64 (log.f64 (/.f64 x y)) #s(literal 1 binary64)) #s(literal 1 binary64)))
(+.f64 #s(literal 0 binary64) (sqrt.f64 (/.f64 x y)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (/.f64 x y)))) #s(literal 2 binary64))) (log.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (/.f64 x y))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (/.f64 x y))))) (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (/.f64 x y))))))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (/.f64 x y)))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 x y)))
(*.f64 (sqrt.f64 (/.f64 x y)) #s(literal 1 binary64))
(*.f64 (sqrt.f64 (/.f64 x y)) (log.f64 (exp.f64 #s(literal 1 binary64))))
(*.f64 (pow.f64 (/.f64 x y) #s(literal 1/6 binary64)) (cbrt.f64 (/.f64 x y)))
(*.f64 (cbrt.f64 (/.f64 x y)) (pow.f64 (/.f64 x y) #s(literal 1/6 binary64)))
(*.f64 (sqrt.f64 x) (pow.f64 y #s(literal -1/2 binary64)))
(*.f64 (pow.f64 (/.f64 y x) #s(literal -1/4 binary64)) (pow.f64 (/.f64 y x) #s(literal -1/4 binary64)))
(*.f64 (pow.f64 y #s(literal -1/2 binary64)) (sqrt.f64 x))
(/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 y x)))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 y) (sqrt.f64 x)))
(/.f64 (sqrt.f64 x) (sqrt.f64 y))
(/.f64 (sqrt.f64 (neg.f64 x)) (sqrt.f64 (neg.f64 y)))
(/.f64 (neg.f64 (sqrt.f64 x)) (neg.f64 (sqrt.f64 y)))
(pow.f64 (sqrt.f64 (/.f64 x y)) #s(literal 1 binary64))
(pow.f64 (/.f64 x y) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (/.f64 x y) #s(literal 1/6 binary64)) #s(literal 3 binary64))
(pow.f64 (cbrt.f64 (/.f64 x y)) #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 x y) #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))
(pow.f64 (/.f64 y x) #s(literal -1/2 binary64))
(pow.f64 (sqrt.f64 (/.f64 y x)) #s(literal -1 binary64))
(pow.f64 (/.f64 (sqrt.f64 y) (sqrt.f64 x)) #s(literal -1 binary64))
(fabs.f64 (sqrt.f64 (/.f64 x y)))
(log.f64 (exp.f64 (sqrt.f64 (/.f64 x y))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (sqrt.f64 (/.f64 x y)))))
(cbrt.f64 (pow.f64 (/.f64 y x) #s(literal -3/2 binary64)))
(expm1.f64 (log1p.f64 (sqrt.f64 (/.f64 x y))))
(log1p.f64 (expm1.f64 (sqrt.f64 (/.f64 x y))))
(exp.f64 (log.f64 (sqrt.f64 (/.f64 x y))))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 x y))) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (/.f64 x y)) #s(literal 1/2 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (/.f64 x y) #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 (sqrt.f64 (/.f64 x y))) #s(literal 1 binary64)) #s(literal 1 binary64)))
(exp.f64 (*.f64 (*.f64 (log.f64 (/.f64 x y)) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(exp.f64 (*.f64 (*.f64 (log.f64 (/.f64 x y)) #s(literal 1 binary64)) #s(literal 1/2 binary64)))

simplify174.0ms (4.5%)

Algorithm
egg-herbie
Rules
822×fma-define
474×associate-/r*
363×fma-neg
355×*-commutative
270×distribute-lft-neg-out
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
03904294975907
17304294975383
222974294975295
377244294975295
Stop Event
node limit
Counts
381 → 217
Calls
Call 1
Inputs
(/.f64 x (pow.f64 y #s(literal 2 binary64)))
(/.f64 x (pow.f64 y #s(literal 2 binary64)))
(/.f64 x (pow.f64 y #s(literal 2 binary64)))
(/.f64 x (pow.f64 y #s(literal 2 binary64)))
(/.f64 x (pow.f64 y #s(literal 2 binary64)))
(/.f64 x (pow.f64 y #s(literal 2 binary64)))
(/.f64 x (pow.f64 y #s(literal 2 binary64)))
(/.f64 x (pow.f64 y #s(literal 2 binary64)))
(/.f64 x (pow.f64 y #s(literal 2 binary64)))
(/.f64 x (pow.f64 y #s(literal 2 binary64)))
(/.f64 x (pow.f64 y #s(literal 2 binary64)))
(/.f64 x (pow.f64 y #s(literal 2 binary64)))
(/.f64 x (pow.f64 y #s(literal 2 binary64)))
(/.f64 x (pow.f64 y #s(literal 2 binary64)))
(/.f64 x (pow.f64 y #s(literal 2 binary64)))
(/.f64 x (pow.f64 y #s(literal 2 binary64)))
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(/.f64 x (pow.f64 y #s(literal 2 binary64)))
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(/.f64 x (pow.f64 y #s(literal 2 binary64)))
(/.f64 x (pow.f64 y #s(literal 2 binary64)))
(/.f64 x (pow.f64 y #s(literal 2 binary64)))
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(/.f64 x (pow.f64 y #s(literal 2 binary64)))
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(/.f64 x (pow.f64 y #s(literal 2 binary64)))
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(/.f64 x (pow.f64 y #s(literal 2 binary64)))
(*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (pow.f64 y #s(literal 2 binary64))))
(*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (pow.f64 y #s(literal 2 binary64))))
(*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (pow.f64 y #s(literal 2 binary64))))
(*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (pow.f64 y #s(literal 2 binary64))))
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(/.f64 x (pow.f64 y #s(literal 2 binary64)))
(*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (pow.f64 y #s(literal 2 binary64))))
(*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (pow.f64 y #s(literal 2 binary64))))
(*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (pow.f64 y #s(literal 2 binary64))))
(*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (pow.f64 y #s(literal 2 binary64))))
(/.f64 x y)
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(*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) y))
(*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) y))
(*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) y))
(*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) y))
(/.f64 x y)
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(*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) y))
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(*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 (/.f64 x y)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))
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(+.f64 #s(literal 0 binary64) (*.f64 x (pow.f64 y #s(literal -2 binary64))))
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(*.f64 (cbrt.f64 (pow.f64 y #s(literal -2 binary64))) (*.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 y)) (/.f64 x y)))
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(*.f64 (/.f64 x (sqrt.f64 y)) (pow.f64 y #s(literal -3/2 binary64)))
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(*.f64 (/.f64 (sqrt.f64 (/.f64 x y)) #s(literal 1 binary64)) (/.f64 (sqrt.f64 (/.f64 x y)) y))
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(*.f64 (/.f64 (cbrt.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64))) (sqrt.f64 y)) (/.f64 (cbrt.f64 (/.f64 x y)) (sqrt.f64 y)))
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) y) (sqrt.f64 (/.f64 x y))) (sqrt.f64 (/.f64 x y)))
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) y) (cbrt.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)))) (cbrt.f64 (/.f64 x y)))
(*.f64 (*.f64 (/.f64 x y) (cbrt.f64 (pow.f64 y #s(literal -2 binary64)))) (/.f64 #s(literal 1 binary64) (cbrt.f64 y)))
(*.f64 (*.f64 (/.f64 x y) (pow.f64 y #s(literal -1/2 binary64))) (pow.f64 y #s(literal -1/2 binary64)))
(pow.f64 (*.f64 x (pow.f64 y #s(literal -2 binary64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 x (pow.f64 y #s(literal -2 binary64)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 x (pow.f64 y #s(literal -2 binary64))) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (/.f64 (pow.f64 y #s(literal 2 binary64)) x) #s(literal -3 binary64)) #s(literal 1/3 binary64))
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(*.f64 (pow.f64 (/.f64 y x) #s(literal -1/4 binary64)) (pow.f64 (/.f64 y x) #s(literal -1/4 binary64)))
(*.f64 (pow.f64 y #s(literal -1/2 binary64)) (sqrt.f64 x))
(/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 y x)))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 y) (sqrt.f64 x)))
(/.f64 (sqrt.f64 x) (sqrt.f64 y))
(/.f64 (sqrt.f64 (neg.f64 x)) (sqrt.f64 (neg.f64 y)))
(/.f64 (neg.f64 (sqrt.f64 x)) (neg.f64 (sqrt.f64 y)))
(pow.f64 (sqrt.f64 (/.f64 x y)) #s(literal 1 binary64))
(pow.f64 (/.f64 x y) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (/.f64 x y) #s(literal 1/6 binary64)) #s(literal 3 binary64))
(pow.f64 (cbrt.f64 (/.f64 x y)) #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 x y) #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))
(pow.f64 (/.f64 y x) #s(literal -1/2 binary64))
(pow.f64 (sqrt.f64 (/.f64 y x)) #s(literal -1 binary64))
(pow.f64 (/.f64 (sqrt.f64 y) (sqrt.f64 x)) #s(literal -1 binary64))
(fabs.f64 (sqrt.f64 (/.f64 x y)))
(log.f64 (exp.f64 (sqrt.f64 (/.f64 x y))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (sqrt.f64 (/.f64 x y)))))
(cbrt.f64 (pow.f64 (/.f64 y x) #s(literal -3/2 binary64)))
(expm1.f64 (log1p.f64 (sqrt.f64 (/.f64 x y))))
(log1p.f64 (expm1.f64 (sqrt.f64 (/.f64 x y))))
(exp.f64 (log.f64 (sqrt.f64 (/.f64 x y))))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 x y))) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (/.f64 x y)) #s(literal 1/2 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (/.f64 x y) #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 (sqrt.f64 (/.f64 x y))) #s(literal 1 binary64)) #s(literal 1 binary64)))
(exp.f64 (*.f64 (*.f64 (log.f64 (/.f64 x y)) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(exp.f64 (*.f64 (*.f64 (log.f64 (/.f64 x y)) #s(literal 1 binary64)) #s(literal 1/2 binary64)))
Outputs
(/.f64 x (pow.f64 y #s(literal 2 binary64)))
(/.f64 x (pow.f64 y #s(literal 2 binary64)))
(/.f64 x (pow.f64 y #s(literal 2 binary64)))
(/.f64 x (pow.f64 y #s(literal 2 binary64)))
(/.f64 x (pow.f64 y #s(literal 2 binary64)))
(/.f64 x (pow.f64 y #s(literal 2 binary64)))
(/.f64 x (pow.f64 y #s(literal 2 binary64)))
(/.f64 x (pow.f64 y #s(literal 2 binary64)))
(/.f64 x (pow.f64 y #s(literal 2 binary64)))
(/.f64 x (pow.f64 y #s(literal 2 binary64)))
(/.f64 x (pow.f64 y #s(literal 2 binary64)))
(/.f64 x (pow.f64 y #s(literal 2 binary64)))
(/.f64 x (pow.f64 y #s(literal 2 binary64)))
(/.f64 x (pow.f64 y #s(literal 2 binary64)))
(/.f64 x (pow.f64 y #s(literal 2 binary64)))
(/.f64 x (pow.f64 y #s(literal 2 binary64)))
(/.f64 x (pow.f64 y #s(literal 2 binary64)))
(/.f64 x (pow.f64 y #s(literal 2 binary64)))
(/.f64 x (pow.f64 y #s(literal 2 binary64)))
(/.f64 x (pow.f64 y #s(literal 2 binary64)))
(/.f64 x (pow.f64 y #s(literal 2 binary64)))
(/.f64 x (pow.f64 y #s(literal 2 binary64)))
(/.f64 x (pow.f64 y #s(literal 2 binary64)))
(/.f64 x (pow.f64 y #s(literal 2 binary64)))
(/.f64 x y)
(/.f64 x y)
(/.f64 x y)
(/.f64 x y)
(/.f64 x y)
(/.f64 x y)
(/.f64 x y)
(/.f64 x y)
(/.f64 x y)
(/.f64 x y)
(/.f64 x y)
(/.f64 x y)
(/.f64 x y)
(/.f64 x y)
(/.f64 x y)
(/.f64 x y)
(/.f64 x y)
(/.f64 x y)
(/.f64 x y)
(/.f64 x y)
(/.f64 x y)
(/.f64 x y)
(/.f64 x y)
(/.f64 x y)
(/.f64 x (pow.f64 y #s(literal 2 binary64)))
(/.f64 x (pow.f64 y #s(literal 2 binary64)))
(/.f64 x (pow.f64 y #s(literal 2 binary64)))
(/.f64 x (pow.f64 y #s(literal 2 binary64)))
(/.f64 x (pow.f64 y #s(literal 2 binary64)))
(/.f64 x (pow.f64 y #s(literal 2 binary64)))
(/.f64 x (pow.f64 y #s(literal 2 binary64)))
(/.f64 x (pow.f64 y #s(literal 2 binary64)))
(*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (pow.f64 y #s(literal 2 binary64))))
(/.f64 x (pow.f64 y #s(literal 2 binary64)))
(*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (pow.f64 y #s(literal 2 binary64))))
(/.f64 x (pow.f64 y #s(literal 2 binary64)))
(*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (pow.f64 y #s(literal 2 binary64))))
(/.f64 x (pow.f64 y #s(literal 2 binary64)))
(*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (pow.f64 y #s(literal 2 binary64))))
(/.f64 x (pow.f64 y #s(literal 2 binary64)))
(/.f64 x (pow.f64 y #s(literal 2 binary64)))
(/.f64 x (pow.f64 y #s(literal 2 binary64)))
(/.f64 x (pow.f64 y #s(literal 2 binary64)))
(/.f64 x (pow.f64 y #s(literal 2 binary64)))
(/.f64 x (pow.f64 y #s(literal 2 binary64)))
(/.f64 x (pow.f64 y #s(literal 2 binary64)))
(/.f64 x (pow.f64 y #s(literal 2 binary64)))
(/.f64 x (pow.f64 y #s(literal 2 binary64)))
(*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (pow.f64 y #s(literal 2 binary64))))
(/.f64 x (pow.f64 y #s(literal 2 binary64)))
(*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (pow.f64 y #s(literal 2 binary64))))
(/.f64 x (pow.f64 y #s(literal 2 binary64)))
(*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (pow.f64 y #s(literal 2 binary64))))
(/.f64 x (pow.f64 y #s(literal 2 binary64)))
(*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (pow.f64 y #s(literal 2 binary64))))
(/.f64 x (pow.f64 y #s(literal 2 binary64)))
(/.f64 x y)
(/.f64 x y)
(/.f64 x y)
(/.f64 x y)
(/.f64 x y)
(/.f64 x y)
(/.f64 x y)
(/.f64 x y)
(*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) y))
(/.f64 x y)
(*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) y))
(/.f64 x y)
(*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) y))
(/.f64 x y)
(*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) y))
(/.f64 x y)
(/.f64 x y)
(/.f64 x y)
(/.f64 x y)
(/.f64 x y)
(/.f64 x y)
(/.f64 x y)
(/.f64 x y)
(/.f64 x y)
(*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) y))
(/.f64 x y)
(*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) y))
(/.f64 x y)
(*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) y))
(/.f64 x y)
(*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) y))
(/.f64 x y)
(*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 (/.f64 x y)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))
(neg.f64 (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (sqrt.f64 (/.f64 x y))))
(sqrt.f64 (/.f64 x y))
(*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 (/.f64 x y)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))
(neg.f64 (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (sqrt.f64 (/.f64 x y))))
(sqrt.f64 (/.f64 x y))
(*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 (/.f64 x y)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))
(neg.f64 (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (sqrt.f64 (/.f64 x y))))
(sqrt.f64 (/.f64 x y))
(*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 (/.f64 x y)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))
(neg.f64 (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (sqrt.f64 (/.f64 x y))))
(sqrt.f64 (/.f64 x y))
(*.f64 (sqrt.f64 (/.f64 x y)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))
(*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (sqrt.f64 (/.f64 x y)))
(neg.f64 (sqrt.f64 (/.f64 x y)))
(*.f64 (sqrt.f64 (/.f64 x y)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))
(*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (sqrt.f64 (/.f64 x y)))
(neg.f64 (sqrt.f64 (/.f64 x y)))
(*.f64 (sqrt.f64 (/.f64 x y)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))
(*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (sqrt.f64 (/.f64 x y)))
(neg.f64 (sqrt.f64 (/.f64 x y)))
(*.f64 (sqrt.f64 (/.f64 x y)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))
(*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (sqrt.f64 (/.f64 x y)))
(neg.f64 (sqrt.f64 (/.f64 x y)))
(+.f64 #s(literal 0 binary64) (*.f64 x (pow.f64 y #s(literal -2 binary64))))
(*.f64 x (pow.f64 y #s(literal -2 binary64)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (pow.f64 y #s(literal -2 binary64)))) #s(literal 2 binary64))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (pow.f64 y #s(literal -2 binary64))))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (pow.f64 y #s(literal -2 binary64))))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (pow.f64 y #s(literal -2 binary64))))))
(*.f64 #s(literal 2 binary64) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (pow.f64 y #s(literal -2 binary64))))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x (pow.f64 y #s(literal -2 binary64))))) #s(literal 1 binary64))
(*.f64 x (pow.f64 y #s(literal -2 binary64)))
(*.f64 #s(literal 1 binary64) (*.f64 x (pow.f64 y #s(literal -2 binary64))))
(*.f64 x (pow.f64 y #s(literal -2 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 x y))
(/.f64 x (pow.f64 y #s(literal 2 binary64)))
(*.f64 x (pow.f64 y #s(literal -2 binary64)))
(*.f64 (sqrt.f64 (/.f64 x y)) (/.f64 (sqrt.f64 (/.f64 x y)) y))
(/.f64 x (pow.f64 y #s(literal 2 binary64)))
(*.f64 (sqrt.f64 (/.f64 x y)) (*.f64 (sqrt.f64 (/.f64 x y)) (/.f64 #s(literal 1 binary64) y)))
(/.f64 x (pow.f64 y #s(literal 2 binary64)))
(*.f64 (/.f64 x y) (/.f64 #s(literal 1 binary64) y))
(/.f64 x (pow.f64 y #s(literal 2 binary64)))
(*.f64 (*.f64 x (pow.f64 y #s(literal -2 binary64))) #s(literal 1 binary64))
(*.f64 x (pow.f64 y #s(literal -2 binary64)))
(*.f64 (*.f64 x (pow.f64 y #s(literal -2 binary64))) (log.f64 (exp.f64 #s(literal 1 binary64))))
(*.f64 x (pow.f64 y #s(literal -2 binary64)))
(*.f64 (cbrt.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64))) (/.f64 (cbrt.f64 (/.f64 x y)) y))
(*.f64 (cbrt.f64 (/.f64 x y)) (/.f64 (cbrt.f64 (pow.f64 (/.f64 y x) #s(literal -2 binary64))) y))
(*.f64 (cbrt.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64))) (*.f64 (cbrt.f64 (/.f64 x y)) (/.f64 #s(literal 1 binary64) y)))
(*.f64 (cbrt.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64))) (/.f64 (cbrt.f64 (/.f64 x y)) y))
(*.f64 (cbrt.f64 (/.f64 x y)) (/.f64 (cbrt.f64 (pow.f64 (/.f64 y x) #s(literal -2 binary64))) y))
(*.f64 (cbrt.f64 (*.f64 x (pow.f64 y #s(literal -2 binary64)))) (pow.f64 (cbrt.f64 (*.f64 x (pow.f64 y #s(literal -2 binary64)))) #s(literal 2 binary64)))
(*.f64 x (pow.f64 y #s(literal -2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 x (pow.f64 y #s(literal -2 binary64)))) #s(literal 2 binary64)) (cbrt.f64 (*.f64 x (pow.f64 y #s(literal -2 binary64)))))
(*.f64 x (pow.f64 y #s(literal -2 binary64)))
(*.f64 (cbrt.f64 (pow.f64 y #s(literal -2 binary64))) (*.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 y)) (/.f64 x y)))
(*.f64 (cbrt.f64 (pow.f64 y #s(literal -2 binary64))) (/.f64 x (*.f64 (cbrt.f64 y) y)))
(*.f64 (cbrt.f64 (pow.f64 y #s(literal -2 binary64))) (/.f64 x (*.f64 y (cbrt.f64 y))))
(*.f64 (cbrt.f64 (pow.f64 y #s(literal -2 binary64))) (/.f64 x (pow.f64 (cbrt.f64 y) #s(literal 4 binary64))))
(*.f64 (pow.f64 y #s(literal -2 binary64)) x)
(*.f64 x (pow.f64 y #s(literal -2 binary64)))
(*.f64 (sqrt.f64 (*.f64 x (pow.f64 y #s(literal -2 binary64)))) (sqrt.f64 (*.f64 x (pow.f64 y #s(literal -2 binary64)))))
(*.f64 x (pow.f64 y #s(literal -2 binary64)))
(*.f64 (pow.f64 y #s(literal -1/2 binary64)) (/.f64 (/.f64 x y) (sqrt.f64 y)))
(*.f64 (pow.f64 y #s(literal -1/2 binary64)) (/.f64 x (*.f64 (sqrt.f64 y) y)))
(*.f64 (/.f64 x y) (/.f64 (pow.f64 y #s(literal -1/2 binary64)) (sqrt.f64 y)))
(*.f64 (pow.f64 y #s(literal -1/2 binary64)) (/.f64 x (pow.f64 (sqrt.f64 y) #s(literal 3 binary64))))
(*.f64 (pow.f64 y #s(literal -1/2 binary64)) (*.f64 (pow.f64 y #s(literal -1/2 binary64)) (/.f64 x y)))
(/.f64 x (pow.f64 y #s(literal 2 binary64)))
(*.f64 (/.f64 x (neg.f64 y)) (/.f64 #s(literal 1 binary64) (neg.f64 y)))
(/.f64 x (pow.f64 y #s(literal 2 binary64)))
(*.f64 (pow.f64 y #s(literal -3/2 binary64)) (/.f64 x (sqrt.f64 y)))
(*.f64 x (/.f64 (pow.f64 y #s(literal -3/2 binary64)) (sqrt.f64 y)))
(*.f64 (pow.f64 (cbrt.f64 y) #s(literal -2 binary64)) (/.f64 (/.f64 x y) (cbrt.f64 y)))
(*.f64 (/.f64 x (*.f64 (cbrt.f64 y) y)) (pow.f64 (cbrt.f64 y) #s(literal -2 binary64)))
(*.f64 (/.f64 x (*.f64 y (cbrt.f64 y))) (pow.f64 (cbrt.f64 y) #s(literal -2 binary64)))
(*.f64 (/.f64 x (pow.f64 (cbrt.f64 y) #s(literal 4 binary64))) (pow.f64 (cbrt.f64 y) #s(literal -2 binary64)))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1 binary64)) (/.f64 x y))
(/.f64 x (pow.f64 y #s(literal 2 binary64)))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (/.f64 x (cbrt.f64 y)))
(/.f64 x (pow.f64 y #s(literal 2 binary64)))
(*.f64 (/.f64 x (sqrt.f64 y)) (pow.f64 y #s(literal -3/2 binary64)))
(*.f64 (pow.f64 y #s(literal -3/2 binary64)) (/.f64 x (sqrt.f64 y)))
(*.f64 x (/.f64 (pow.f64 y #s(literal -3/2 binary64)) (sqrt.f64 y)))
(*.f64 (/.f64 x #s(literal 1 binary64)) (pow.f64 y #s(literal -2 binary64)))
(*.f64 x (pow.f64 y #s(literal -2 binary64)))
(*.f64 (/.f64 x (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) y) (cbrt.f64 y)))
(/.f64 x (pow.f64 y #s(literal 2 binary64)))
(*.f64 (/.f64 (sqrt.f64 (/.f64 x y)) #s(literal 1 binary64)) (/.f64 (sqrt.f64 (/.f64 x y)) y))
(/.f64 x (pow.f64 y #s(literal 2 binary64)))
(*.f64 (/.f64 (sqrt.f64 (/.f64 x y)) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (/.f64 (sqrt.f64 (/.f64 x y)) (cbrt.f64 y)))
(/.f64 x (pow.f64 y #s(literal 2 binary64)))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64))) #s(literal 1 binary64)) (/.f64 (cbrt.f64 (/.f64 x y)) y))
(*.f64 (cbrt.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64))) (/.f64 (cbrt.f64 (/.f64 x y)) y))
(*.f64 (cbrt.f64 (/.f64 x y)) (/.f64 (cbrt.f64 (pow.f64 (/.f64 y x) #s(literal -2 binary64))) y))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64))) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (cbrt.f64 (*.f64 x (pow.f64 y #s(literal -2 binary64)))))
(*.f64 (cbrt.f64 (*.f64 x (pow.f64 y #s(literal -2 binary64)))) (/.f64 (cbrt.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64))) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))))
(*.f64 (cbrt.f64 (pow.f64 (/.f64 y x) #s(literal -2 binary64))) (/.f64 (cbrt.f64 (*.f64 x (pow.f64 y #s(literal -2 binary64)))) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))))
(*.f64 (cbrt.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64))) (/.f64 (cbrt.f64 (*.f64 x (pow.f64 y #s(literal -2 binary64)))) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64))) (sqrt.f64 y)) (/.f64 (cbrt.f64 (/.f64 x y)) (sqrt.f64 y)))
(*.f64 (cbrt.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64))) (/.f64 (cbrt.f64 (/.f64 x y)) y))
(*.f64 (cbrt.f64 (/.f64 x y)) (/.f64 (cbrt.f64 (pow.f64 (/.f64 y x) #s(literal -2 binary64))) y))
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) y) (sqrt.f64 (/.f64 x y))) (sqrt.f64 (/.f64 x y)))
(/.f64 x (pow.f64 y #s(literal 2 binary64)))
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) y) (cbrt.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)))) (cbrt.f64 (/.f64 x y)))
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(exp.f64 (*.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 x y))) #s(literal 1 binary64)) #s(literal 1 binary64)))
(neg.f64 (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (sqrt.f64 (/.f64 x y))))
(sqrt.f64 (/.f64 x y))
(exp.f64 (*.f64 (*.f64 (log.f64 (/.f64 x y)) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(neg.f64 (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (sqrt.f64 (/.f64 x y))))
(sqrt.f64 (/.f64 x y))
(exp.f64 (*.f64 (*.f64 (log.f64 (/.f64 x y)) #s(literal 1 binary64)) #s(literal 1/2 binary64)))
(neg.f64 (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (sqrt.f64 (/.f64 x y))))
(sqrt.f64 (/.f64 x y))

eval83.0ms (2.1%)

Compiler

Compiled 3411 to 929 computations (72.8% saved)

prune40.0ms (1%)

Pruning

7 alts after pruning (1 fresh and 6 done)

PrunedKeptTotal
New3041305
Fresh000
Picked022
Done145
Total3057312
Accuracy
100.0%
Counts
312 → 7
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.5%
(pow.f64 (/.f64 (sqrt.f64 x) y) #s(literal 2 binary64))
99.5%
(/.f64 (pow.f64 (sqrt.f64 (/.f64 x y)) #s(literal 2 binary64)) y)
99.8%
(/.f64 (/.f64 x y) y)
99.7%
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 y x)) y)
99.7%
(/.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 y x))
99.7%
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) y) x) y)
85.0%
(/.f64 x (*.f64 y y))
Compiler

Compiled 142 to 73 computations (48.6% saved)

regimes15.0ms (0.4%)

Counts
12 → 1
Calls
Call 1
Inputs
(/.f64 x (*.f64 y y))
(/.f64 (/.f64 x y) y)
(*.f64 (/.f64 x y) (/.f64 #s(literal 1 binary64) y))
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) y) x) y)
(/.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 y x))
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 y x)) y)
(/.f64 #s(literal -1 binary64) (*.f64 (/.f64 y x) (neg.f64 y)))
(*.f64 (pow.f64 y #s(literal -2 binary64)) x)
(pow.f64 (/.f64 y (/.f64 x y)) #s(literal -1 binary64))
(pow.f64 (/.f64 (sqrt.f64 x) y) #s(literal 2 binary64))
(/.f64 (pow.f64 (sqrt.f64 (/.f64 x y)) #s(literal 2 binary64)) y)
(/.f64 (sqrt.f64 x) (*.f64 (/.f64 y (sqrt.f64 x)) y))
Outputs
(/.f64 (/.f64 x y) y)
Calls

4 calls:

4.0ms
y
4.0ms
x
3.0ms
(*.f64 y y)
3.0ms
(/.f64 x (*.f64 y y))
Results
AccuracySegmentsBranch
99.8%1x
99.8%1y
99.8%1(/.f64 x (*.f64 y y))
99.8%1(*.f64 y y)
Compiler

Compiled 18 to 11 computations (38.9% saved)

regimes6.0ms (0.1%)

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts
1 → 1
Calls
Call 1
Inputs
(/.f64 x (*.f64 y y))
Outputs
(/.f64 x (*.f64 y y))
Calls

4 calls:

2.0ms
x
1.0ms
y
1.0ms
(*.f64 y y)
1.0ms
(/.f64 x (*.f64 y y))
Results
AccuracySegmentsBranch
85.0%1x
85.0%1y
85.0%1(/.f64 x (*.f64 y y))
85.0%1(*.f64 y y)
Compiler

Compiled 18 to 11 computations (38.9% saved)

simplify2.0ms (0%)

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01144
Stop Event
saturated
Calls
Call 1
Inputs
(/.f64 (/.f64 x y) y)
(/.f64 x (*.f64 y y))
Outputs
(/.f64 (/.f64 x y) y)
(/.f64 x (*.f64 y y))

soundness254.0ms (6.6%)

Rules
960×log1p-expm1-u
960×expm1-log1p-u
594×log-prod
436×log1p-expm1-u
436×expm1-log1p-u
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0929
19329
2121429
022168
1288153
23615153
Stop Event
fuel
node limit
node limit
Compiler

Compiled 45 to 22 computations (51.1% saved)

preprocess43.0ms (1.1%)

Remove

(negabs x)

(abs y)

Compiler

Compiled 108 to 60 computations (44.4% saved)

end0.0ms (0%)

Profiling

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