Physics.ForceLayout:coulombForce from force-layout-0.4.0.2

Time bar (total: 5.6s)

analyze21.0ms (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: 4.0ms
ival-mult: 3.0ms (77.7% of total)
ival-div: 1.0ms (25.9% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

sample1.3s (23.8%)

Results
766.0ms8256×0valid
Precisions
Click to see histograms. Total time spent on operations: 417.0ms
ival-mult: 212.0ms (50.8% of total)
ival-div: 196.0ms (47% of total)
const: 7.0ms (1.7% of total)
backward-pass: 3.0ms (0.7% of total)
Bogosity

preprocess487.0ms (8.7%)

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)

explain41.0ms (0.7%)

FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
311(3.5102784601487564e+74 2.363411348841144e+198)2(1.4467481132235052e-81 5.5995269777259375e-162)(/.f64 x (*.f64 y y))
00-0-x
00-0-(*.f64 y y)
00-0-y
Results
26.0ms512×0valid
Compiler

Compiled 33 to 14 computations (57.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 11.0ms
ival-mult: 6.0ms (54% of total)
ival-div: 5.0ms (45% 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
88.6%
(/.f64 x (*.f64 y y))
Compiler

Compiled 7 to 4 computations (42.9% saved)

localize30.0ms (0.5%)

Algorithm
egg-herbie
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 y y)
cost-diff0
(/.f64 x (*.f64 y y))
accuracy100.0%
(*.f64 y y)
accuracy88.6%
(/.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
Results
18.0ms256×0valid
Compiler

Compiled 13 to 5 computations (61.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 6.0ms
ival-div: 4.0ms (61.9% of total)
ival-mult: 2.0ms (30.9% 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))
0.0ms
x
@-inf
(/ x (* y y))
0.0ms
y
@inf
(* y y)

rewrite205.0ms (3.7%)

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)))

simplify148.0ms (2.6%)

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)))
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(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))))
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(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)))))
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(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))
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eval100.0ms (1.8%)

Compiler

Compiled 1280 to 841 computations (34.3% saved)

prune38.0ms (0.7%)

Pruning

9 alts after pruning (8 fresh and 1 done)

PrunedKeptTotal
New1078115
Fresh000
Picked011
Done000
Total1079116
Accuracy
100.0%
Counts
116 → 9
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.5%
(pow.f64 (/.f64 (sqrt.f64 x) y) #s(literal 2 binary64))
99.7%
(pow.f64 (/.f64 y (/.f64 x y)) #s(literal -1 binary64))
87.4%
(pow.f64 (cbrt.f64 (*.f64 x (pow.f64 y #s(literal -2 binary64)))) #s(literal 3 binary64))
88.6%
(/.f64 x (*.f64 y y))
88.1%
(*.f64 (pow.f64 y #s(literal -2 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)))
88.1%
(*.f64 (pow.f64 y #s(literal -2 binary64)) x)
98.9%
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) y) (/.f64 (cbrt.f64 x) y))
99.7%
(*.f64 (/.f64 x y) (/.f64 #s(literal 1 binary64) y))
95.4%
(exp.f64 (*.f64 (log.f64 (/.f64 (sqrt.f64 x) y)) #s(literal 2 binary64)))
Compiler

Compiled 161 to 116 computations (28% saved)

localize465.0ms (8.3%)

Algorithm
egg-herbie
Localize:

Found 8 expressions of interest:

NewMetricScoreProgram
cost-diff6464
(pow.f64 (/.f64 y (/.f64 x y)) #s(literal -1 binary64))
cost-diff12736
(pow.f64 (/.f64 (sqrt.f64 x) y) #s(literal 2 binary64))
cost-diff19200
(exp.f64 (*.f64 (log.f64 (/.f64 (sqrt.f64 x) y)) #s(literal 2 binary64)))
cost-diff19392
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) y) (/.f64 (cbrt.f64 x) y))
accuracy99.2%
(pow.f64 (cbrt.f64 x) #s(literal 2 binary64))
accuracy99.1%
(cbrt.f64 x)
accuracy95.4%
(exp.f64 (*.f64 (log.f64 (/.f64 (sqrt.f64 x) y)) #s(literal 2 binary64)))
accuracy92.1%
(log.f64 (/.f64 (sqrt.f64 x) y))
Rules
298×times-frac
203×associate-*r*
156×associate-/r*
129×associate-*r/
119×associate-*l*
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
027403
151373
283373
3129373
4250373
5401373
6532373
7566373
8568373
9579373
10610373
11643373
12668373
13734373
14805373
15975373
161294373
171462373
181558373
191558373
201558373
Stop Event
saturated
Calls
Call 1
Inputs
(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)
(*.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)
(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)
(exp.f64 (*.f64 (log.f64 (/.f64 (sqrt.f64 x) y)) #s(literal 2 binary64)))
(*.f64 (log.f64 (/.f64 (sqrt.f64 x) y)) #s(literal 2 binary64))
(log.f64 (/.f64 (sqrt.f64 x) y))
(/.f64 (sqrt.f64 x) y)
(sqrt.f64 x)
x
y
#s(literal 2 binary64)
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) y) (/.f64 (cbrt.f64 x) y))
(/.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) y)
(pow.f64 (cbrt.f64 x) #s(literal 2 binary64))
(cbrt.f64 x)
x
#s(literal 2 binary64)
y
(/.f64 (cbrt.f64 x) y)
Outputs
(pow.f64 (/.f64 y (/.f64 x y)) #s(literal -1 binary64))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 y x) y))
(/.f64 (/.f64 x y) y)
(/.f64 x (*.f64 y y))
(/.f64 y (/.f64 x y))
(*.f64 (/.f64 y x) y)
(/.f64 (*.f64 y y) x)
(*.f64 y (/.f64 y x))
y
(/.f64 x y)
x
#s(literal -1 binary64)
(*.f64 (/.f64 x y) (/.f64 #s(literal 1 binary64) y))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 y x) 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)
(pow.f64 (/.f64 (sqrt.f64 x) y) #s(literal 2 binary64))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 y x) 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)
(exp.f64 (*.f64 (log.f64 (/.f64 (sqrt.f64 x) y)) #s(literal 2 binary64)))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 y x) y))
(/.f64 (/.f64 x y) y)
(/.f64 x (*.f64 y y))
(*.f64 (log.f64 (/.f64 (sqrt.f64 x) y)) #s(literal 2 binary64))
(*.f64 #s(literal 2 binary64) (log.f64 (/.f64 (sqrt.f64 x) y)))
(*.f64 (log.f64 (/.f64 y (sqrt.f64 x))) #s(literal -2 binary64))
(log.f64 (/.f64 (sqrt.f64 x) y))
(/.f64 (sqrt.f64 x) y)
(sqrt.f64 x)
x
y
#s(literal 2 binary64)
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) y) (/.f64 (cbrt.f64 x) y))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 y x) y))
(/.f64 (/.f64 x y) y)
(/.f64 x (*.f64 y y))
(/.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) y)
(pow.f64 (cbrt.f64 x) #s(literal 2 binary64))
(cbrt.f64 x)
x
#s(literal 2 binary64)
y
(/.f64 (cbrt.f64 x) y)
Results
173.0ms256×0valid
Compiler

Compiled 111 to 38 computations (65.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 56.0ms
ival-mult: 15.0ms (26.9% of total)
ival-pow: 15.0ms (26.9% of total)
ival-div: 14.0ms (25.1% of total)
ival-log: 4.0ms (7.2% of total)
ival-exp: 3.0ms (5.4% of total)
ival-cbrt: 2.0ms (3.6% of total)
const: 2.0ms (3.6% of total)
ival-sqrt: 2.0ms (3.6% of total)
backward-pass: 0.0ms (0% of total)

series161.0ms (2.9%)

Counts
7 → 136
Calls
Call 1
Inputs
#<alt (log.f64 (/.f64 (sqrt.f64 x) y))>
#<alt (exp.f64 (*.f64 (log.f64 (/.f64 (sqrt.f64 x) y)) #s(literal 2 binary64)))>
#<alt (cbrt.f64 x)>
#<alt (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))>
#<alt (*.f64 (/.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) y) (/.f64 (cbrt.f64 x) y))>
#<alt (pow.f64 (/.f64 (sqrt.f64 x) y) #s(literal 2 binary64))>
#<alt (pow.f64 (/.f64 y (/.f64 x y)) #s(literal -1 binary64))>
Outputs
#<alt (log.f64 (*.f64 (sqrt.f64 x) (/.f64 #s(literal 1 binary64) y)))>
#<alt (log.f64 (*.f64 (sqrt.f64 x) (/.f64 #s(literal 1 binary64) y)))>
#<alt (log.f64 (*.f64 (sqrt.f64 x) (/.f64 #s(literal 1 binary64) y)))>
#<alt (log.f64 (*.f64 (sqrt.f64 x) (/.f64 #s(literal 1 binary64) y)))>
#<alt (+.f64 (log.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) y))) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) x))))>
#<alt (+.f64 (log.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) y))) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) x))))>
#<alt (+.f64 (log.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) y))) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) x))))>
#<alt (+.f64 (log.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) y))) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) x))))>
#<alt (+.f64 (log.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) y))) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x))))>
#<alt (+.f64 (log.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) y))) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x))))>
#<alt (+.f64 (log.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) y))) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x))))>
#<alt (+.f64 (log.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) y))) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x))))>
#<alt (+.f64 (log.f64 (sqrt.f64 x)) (*.f64 #s(literal -1 binary64) (log.f64 y)))>
#<alt (+.f64 (log.f64 (sqrt.f64 x)) (*.f64 #s(literal -1 binary64) (log.f64 y)))>
#<alt (+.f64 (log.f64 (sqrt.f64 x)) (*.f64 #s(literal -1 binary64) (log.f64 y)))>
#<alt (+.f64 (log.f64 (sqrt.f64 x)) (*.f64 #s(literal -1 binary64) (log.f64 y)))>
#<alt (+.f64 (log.f64 (sqrt.f64 x)) (log.f64 (/.f64 #s(literal 1 binary64) y)))>
#<alt (+.f64 (log.f64 (sqrt.f64 x)) (log.f64 (/.f64 #s(literal 1 binary64) y)))>
#<alt (+.f64 (log.f64 (sqrt.f64 x)) (log.f64 (/.f64 #s(literal 1 binary64) y)))>
#<alt (+.f64 (log.f64 (sqrt.f64 x)) (log.f64 (/.f64 #s(literal 1 binary64) y)))>
#<alt (+.f64 (log.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 x))) (log.f64 (/.f64 #s(literal -1 binary64) y)))>
#<alt (+.f64 (log.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 x))) (log.f64 (/.f64 #s(literal -1 binary64) y)))>
#<alt (+.f64 (log.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 x))) (log.f64 (/.f64 #s(literal -1 binary64) y)))>
#<alt (+.f64 (log.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 x))) (log.f64 (/.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 #s(literal -1 binary64) (*.f64 (cbrt.f64 x) (cbrt.f64 #s(literal -1 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (cbrt.f64 x) (cbrt.f64 #s(literal -1 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (cbrt.f64 x) (cbrt.f64 #s(literal -1 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (cbrt.f64 x) (cbrt.f64 #s(literal -1 binary64))))>
#<alt (cbrt.f64 (pow.f64 x #s(literal 2 binary64)))>
#<alt (cbrt.f64 (pow.f64 x #s(literal 2 binary64)))>
#<alt (cbrt.f64 (pow.f64 x #s(literal 2 binary64)))>
#<alt (cbrt.f64 (pow.f64 x #s(literal 2 binary64)))>
#<alt (cbrt.f64 (pow.f64 x #s(literal 2 binary64)))>
#<alt (cbrt.f64 (pow.f64 x #s(literal 2 binary64)))>
#<alt (cbrt.f64 (pow.f64 x #s(literal 2 binary64)))>
#<alt (cbrt.f64 (pow.f64 x #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (cbrt.f64 (pow.f64 x #s(literal 2 binary64))) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (cbrt.f64 (pow.f64 x #s(literal 2 binary64))) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (cbrt.f64 (pow.f64 x #s(literal 2 binary64))) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (cbrt.f64 (pow.f64 x #s(literal 2 binary64))) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 3 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 (cbrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64))) (pow.f64 y #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64))) (pow.f64 y #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64))) (pow.f64 y #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 3 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 #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 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

36 calls:

TimeVariablePointExpression
43.0ms
x
@0
(log (/ (sqrt x) y))
37.0ms
y
@-inf
(log (/ (sqrt x) y))
24.0ms
x
@-inf
(log (/ (sqrt x) y))
18.0ms
y
@0
(log (/ (sqrt x) y))
13.0ms
x
@inf
(log (/ (sqrt x) y))

rewrite178.0ms (3.2%)

Algorithm
batch-egg-rewrite
Rules
862×log1p-expm1-u
862×expm1-log1p-u
149×fma-neg
142×add-exp-log
141×add-log-exp
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
024135
1342119
24616119
Stop Event
node limit
Counts
7 → 475
Calls
Call 1
Inputs
(log.f64 (/.f64 (sqrt.f64 x) y))
(exp.f64 (*.f64 (log.f64 (/.f64 (sqrt.f64 x) y)) #s(literal 2 binary64)))
(cbrt.f64 x)
(pow.f64 (cbrt.f64 x) #s(literal 2 binary64))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) y) (/.f64 (cbrt.f64 x) y))
(pow.f64 (/.f64 (sqrt.f64 x) y) #s(literal 2 binary64))
(pow.f64 (/.f64 y (/.f64 x y)) #s(literal -1 binary64))
Outputs
(+.f64 (log.f64 (/.f64 (sqrt.f64 x) y)) (fma.f64 (neg.f64 (sqrt.f64 (log.f64 y))) (sqrt.f64 (log.f64 y)) (log.f64 y)))
(+.f64 (log.f64 (sqrt.f64 x)) (log.f64 (/.f64 #s(literal 1 binary64) y)))
(+.f64 (log.f64 (sqrt.f64 x)) (neg.f64 (log.f64 y)))
(+.f64 #s(literal 0 binary64) (log.f64 (/.f64 (sqrt.f64 x) y)))
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(+.f64 (log.f64 (sqrt.f64 (/.f64 (sqrt.f64 x) y))) (log.f64 (sqrt.f64 (/.f64 (sqrt.f64 x) y))))
(+.f64 (fma.f64 #s(literal 1/2 binary64) (log.f64 x) (neg.f64 (*.f64 (log.f64 y) #s(literal 1 binary64)))) (fma.f64 (neg.f64 (log.f64 y)) #s(literal 1 binary64) (*.f64 (log.f64 y) #s(literal 1 binary64))))
(+.f64 (fma.f64 #s(literal 1/2 binary64) (log.f64 x) (neg.f64 (*.f64 (cbrt.f64 (log.f64 y)) (*.f64 (cbrt.f64 (log.f64 y)) (cbrt.f64 (log.f64 y)))))) (fma.f64 (neg.f64 (cbrt.f64 (log.f64 y))) (*.f64 (cbrt.f64 (log.f64 y)) (cbrt.f64 (log.f64 y))) (*.f64 (cbrt.f64 (log.f64 y)) (*.f64 (cbrt.f64 (log.f64 y)) (cbrt.f64 (log.f64 y))))))
(+.f64 (fma.f64 #s(literal 1 binary64) (log.f64 (sqrt.f64 x)) (neg.f64 (*.f64 (log.f64 y) #s(literal 1 binary64)))) (fma.f64 (neg.f64 (log.f64 y)) #s(literal 1 binary64) (*.f64 (log.f64 y) #s(literal 1 binary64))))
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(+.f64 (fma.f64 (*.f64 (cbrt.f64 (log.f64 (sqrt.f64 x))) (cbrt.f64 (log.f64 (sqrt.f64 x)))) (cbrt.f64 (log.f64 (sqrt.f64 x))) (neg.f64 (*.f64 (cbrt.f64 (log.f64 y)) (*.f64 (cbrt.f64 (log.f64 y)) (cbrt.f64 (log.f64 y)))))) (fma.f64 (neg.f64 (cbrt.f64 (log.f64 y))) (*.f64 (cbrt.f64 (log.f64 y)) (cbrt.f64 (log.f64 y))) (*.f64 (cbrt.f64 (log.f64 y)) (*.f64 (cbrt.f64 (log.f64 y)) (cbrt.f64 (log.f64 y))))))
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(+.f64 (fma.f64 (sqrt.f64 (log.f64 (sqrt.f64 x))) (sqrt.f64 (log.f64 (sqrt.f64 x))) (neg.f64 (*.f64 (cbrt.f64 (log.f64 y)) (*.f64 (cbrt.f64 (log.f64 y)) (cbrt.f64 (log.f64 y)))))) (fma.f64 (neg.f64 (cbrt.f64 (log.f64 y))) (*.f64 (cbrt.f64 (log.f64 y)) (cbrt.f64 (log.f64 y))) (*.f64 (cbrt.f64 (log.f64 y)) (*.f64 (cbrt.f64 (log.f64 y)) (cbrt.f64 (log.f64 y))))))
(-.f64 (log.f64 (sqrt.f64 x)) (log.f64 y))
(-.f64 (exp.f64 (log1p.f64 (log.f64 (/.f64 (sqrt.f64 x) y)))) #s(literal 1 binary64))
(-.f64 #s(literal 0 binary64) (log.f64 (/.f64 y (sqrt.f64 x))))
(-.f64 (log.f64 (neg.f64 (sqrt.f64 x))) (log.f64 (neg.f64 y)))
(*.f64 (log.f64 (/.f64 (sqrt.f64 x) y)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (log.f64 (/.f64 (sqrt.f64 x) y)))
(*.f64 (cbrt.f64 (log.f64 (/.f64 (sqrt.f64 x) y))) (cbrt.f64 (pow.f64 (log.f64 (/.f64 (sqrt.f64 x) y)) #s(literal 2 binary64))))
(*.f64 (cbrt.f64 (pow.f64 (log.f64 (/.f64 (sqrt.f64 x) y)) #s(literal 2 binary64))) (cbrt.f64 (log.f64 (/.f64 (sqrt.f64 x) y))))
(*.f64 (sqrt.f64 (log.f64 (/.f64 (sqrt.f64 x) y))) (sqrt.f64 (log.f64 (/.f64 (sqrt.f64 x) y))))
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(/.f64 (-.f64 (*.f64 (log.f64 (sqrt.f64 x)) (log.f64 (sqrt.f64 x))) (*.f64 (log.f64 y) (log.f64 y))) (fma.f64 #s(literal 1/2 binary64) (log.f64 x) (log.f64 y)))
(pow.f64 (log.f64 (/.f64 (sqrt.f64 x) y)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (log.f64 (/.f64 (sqrt.f64 x) y))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (log.f64 (/.f64 (sqrt.f64 x) y)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
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(neg.f64 (log.f64 (/.f64 y (sqrt.f64 x))))
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(cbrt.f64 (pow.f64 (log.f64 (/.f64 (sqrt.f64 x) y)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (log.f64 (/.f64 (sqrt.f64 x) y))))
(log1p.f64 (-.f64 (/.f64 (sqrt.f64 x) y) #s(literal 1 binary64)))
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(exp.f64 (*.f64 (log.f64 (log.f64 (/.f64 (sqrt.f64 x) y))) #s(literal 1 binary64)))
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(fma.f64 #s(literal 1/2 binary64) (log.f64 x) (neg.f64 (log.f64 y)))
(fma.f64 #s(literal 1 binary64) (log.f64 (sqrt.f64 x)) (log.f64 (/.f64 #s(literal 1 binary64) y)))
(fma.f64 #s(literal 1 binary64) (log.f64 (sqrt.f64 x)) (neg.f64 (log.f64 y)))
(fma.f64 (*.f64 (cbrt.f64 (log.f64 (sqrt.f64 x))) (cbrt.f64 (log.f64 (sqrt.f64 x)))) (cbrt.f64 (log.f64 (sqrt.f64 x))) (log.f64 (/.f64 #s(literal 1 binary64) y)))
(fma.f64 (*.f64 (cbrt.f64 (log.f64 (sqrt.f64 x))) (cbrt.f64 (log.f64 (sqrt.f64 x)))) (cbrt.f64 (log.f64 (sqrt.f64 x))) (neg.f64 (log.f64 y)))
(fma.f64 (sqrt.f64 (log.f64 (sqrt.f64 x))) (sqrt.f64 (log.f64 (sqrt.f64 x))) (log.f64 (/.f64 #s(literal 1 binary64) y)))
(fma.f64 (sqrt.f64 (log.f64 (sqrt.f64 x))) (sqrt.f64 (log.f64 (sqrt.f64 x))) (neg.f64 (log.f64 y)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 x (pow.f64 y #s(literal 2 binary64))))) #s(literal 1 binary64))
(*.f64 x (pow.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 2 binary64)))
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(*.f64 x (/.f64 (/.f64 #s(literal 1 binary64) y) y))
(*.f64 x (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))))
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(*.f64 (cbrt.f64 x) (*.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 (cbrt.f64 (pow.f64 x #s(literal 2 binary64))) y)))
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(cbrt.f64 (*.f64 (pow.f64 (/.f64 (cbrt.f64 x) y) #s(literal 3 binary64)) (pow.f64 (/.f64 (cbrt.f64 (pow.f64 x #s(literal 2 binary64))) 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)))))

simplify223.0ms (4%)

Algorithm
egg-herbie
Rules
411×fma-define
317×distribute-lft-neg-in
290×distribute-rgt-neg-in
268×associate-/l/
239×times-frac
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
048719294
1110517685
2351417280
Stop Event
node limit
Counts
611 → 252
Calls
Call 1
Inputs
(log.f64 (*.f64 (sqrt.f64 x) (/.f64 #s(literal 1 binary64) y)))
(log.f64 (*.f64 (sqrt.f64 x) (/.f64 #s(literal 1 binary64) y)))
(log.f64 (*.f64 (sqrt.f64 x) (/.f64 #s(literal 1 binary64) y)))
(log.f64 (*.f64 (sqrt.f64 x) (/.f64 #s(literal 1 binary64) y)))
(+.f64 (log.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) y))) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) x))))
(+.f64 (log.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) y))) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) x))))
(+.f64 (log.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) y))) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) x))))
(+.f64 (log.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) y))) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) x))))
(+.f64 (log.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) y))) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x))))
(+.f64 (log.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) y))) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x))))
(+.f64 (log.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) y))) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x))))
(+.f64 (log.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) y))) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x))))
(+.f64 (log.f64 (sqrt.f64 x)) (*.f64 #s(literal -1 binary64) (log.f64 y)))
(+.f64 (log.f64 (sqrt.f64 x)) (*.f64 #s(literal -1 binary64) (log.f64 y)))
(+.f64 (log.f64 (sqrt.f64 x)) (*.f64 #s(literal -1 binary64) (log.f64 y)))
(+.f64 (log.f64 (sqrt.f64 x)) (*.f64 #s(literal -1 binary64) (log.f64 y)))
(+.f64 (log.f64 (sqrt.f64 x)) (log.f64 (/.f64 #s(literal 1 binary64) y)))
(+.f64 (log.f64 (sqrt.f64 x)) (log.f64 (/.f64 #s(literal 1 binary64) y)))
(+.f64 (log.f64 (sqrt.f64 x)) (log.f64 (/.f64 #s(literal 1 binary64) y)))
(+.f64 (log.f64 (sqrt.f64 x)) (log.f64 (/.f64 #s(literal 1 binary64) y)))
(+.f64 (log.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 x))) (log.f64 (/.f64 #s(literal -1 binary64) y)))
(+.f64 (log.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 x))) (log.f64 (/.f64 #s(literal -1 binary64) y)))
(+.f64 (log.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 x))) (log.f64 (/.f64 #s(literal -1 binary64) y)))
(+.f64 (log.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 x))) (log.f64 (/.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 x (pow.f64 y #s(literal 2 binary64)))
(/.f64 x (pow.f64 y #s(literal 2 binary64)))
(/.f64 x (pow.f64 y #s(literal 2 binary64)))
(/.f64 x (pow.f64 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)))
(/.f64 x (pow.f64 y #s(literal 2 binary64)))
(/.f64 x (pow.f64 y #s(literal 2 binary64)))
(/.f64 x (pow.f64 y #s(literal 2 binary64)))
(/.f64 x (pow.f64 y #s(literal 2 binary64)))
(/.f64 x (pow.f64 y #s(literal 2 binary64)))
(/.f64 x (pow.f64 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 (cbrt.f64 x) (cbrt.f64 #s(literal -1 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 (cbrt.f64 x) (cbrt.f64 #s(literal -1 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 (cbrt.f64 x) (cbrt.f64 #s(literal -1 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 (cbrt.f64 x) (cbrt.f64 #s(literal -1 binary64))))
(cbrt.f64 (pow.f64 x #s(literal 2 binary64)))
(cbrt.f64 (pow.f64 x #s(literal 2 binary64)))
(cbrt.f64 (pow.f64 x #s(literal 2 binary64)))
(cbrt.f64 (pow.f64 x #s(literal 2 binary64)))
(cbrt.f64 (pow.f64 x #s(literal 2 binary64)))
(cbrt.f64 (pow.f64 x #s(literal 2 binary64)))
(cbrt.f64 (pow.f64 x #s(literal 2 binary64)))
(cbrt.f64 (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal -1 binary64) (*.f64 (cbrt.f64 (pow.f64 x #s(literal 2 binary64))) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 (cbrt.f64 (pow.f64 x #s(literal 2 binary64))) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 (cbrt.f64 (pow.f64 x #s(literal 2 binary64))) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 (cbrt.f64 (pow.f64 x #s(literal 2 binary64))) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 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 x (pow.f64 y #s(literal 2 binary64)))
(/.f64 x (pow.f64 y #s(literal 2 binary64)))
(/.f64 x (pow.f64 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 (cbrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64))) (pow.f64 y #s(literal 2 binary64))))
(*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64))) (pow.f64 y #s(literal 2 binary64))))
(*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64))) (pow.f64 y #s(literal 2 binary64))))
(*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 3 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 #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)))
(/.f64 x (pow.f64 y #s(literal 2 binary64)))
(/.f64 x (pow.f64 y #s(literal 2 binary64)))
(/.f64 x (pow.f64 y #s(literal 2 binary64)))
(/.f64 x (pow.f64 y #s(literal 2 binary64)))
(/.f64 x (pow.f64 y #s(literal 2 binary64)))
(/.f64 x (pow.f64 y #s(literal 2 binary64)))
(/.f64 x (pow.f64 y #s(literal 2 binary64)))
(/.f64 x (pow.f64 y #s(literal 2 binary64)))
(/.f64 x (pow.f64 y #s(literal 2 binary64)))
(/.f64 x (pow.f64 y #s(literal 2 binary64)))
(/.f64 x (pow.f64 y #s(literal 2 binary64)))
(/.f64 x (pow.f64 y #s(literal 2 binary64)))
(/.f64 x (pow.f64 y #s(literal 2 binary64)))
(/.f64 x (pow.f64 y #s(literal 2 binary64)))
(/.f64 x (pow.f64 y #s(literal 2 binary64)))
(/.f64 x (pow.f64 y #s(literal 2 binary64)))
(/.f64 x (pow.f64 y #s(literal 2 binary64)))
(/.f64 x (pow.f64 y #s(literal 2 binary64)))
(/.f64 x (pow.f64 y #s(literal 2 binary64)))
(/.f64 x (pow.f64 y #s(literal 2 binary64)))
(/.f64 x (pow.f64 y #s(literal 2 binary64)))
(/.f64 x (pow.f64 y #s(literal 2 binary64)))
(/.f64 x (pow.f64 y #s(literal 2 binary64)))
(/.f64 x (pow.f64 y #s(literal 2 binary64)))
(/.f64 x (pow.f64 y #s(literal 2 binary64)))
(/.f64 x (pow.f64 y #s(literal 2 binary64)))
(/.f64 x (pow.f64 y #s(literal 2 binary64)))
(/.f64 x (pow.f64 y #s(literal 2 binary64)))
(/.f64 x (pow.f64 y #s(literal 2 binary64)))
(/.f64 x (pow.f64 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 (/.f64 (sqrt.f64 x) y)) (fma.f64 (neg.f64 (sqrt.f64 (log.f64 y))) (sqrt.f64 (log.f64 y)) (log.f64 y)))
(+.f64 (log.f64 (sqrt.f64 x)) (log.f64 (/.f64 #s(literal 1 binary64) y)))
(+.f64 (log.f64 (sqrt.f64 x)) (neg.f64 (log.f64 y)))
(+.f64 #s(literal 0 binary64) (log.f64 (/.f64 (sqrt.f64 x) y)))
(+.f64 (log.f64 (cbrt.f64 (/.f64 x (pow.f64 y #s(literal 2 binary64))))) (log.f64 (cbrt.f64 (/.f64 (sqrt.f64 x) y))))
(+.f64 (log.f64 (sqrt.f64 (/.f64 (sqrt.f64 x) y))) (log.f64 (sqrt.f64 (/.f64 (sqrt.f64 x) y))))
(+.f64 (fma.f64 #s(literal 1/2 binary64) (log.f64 x) (neg.f64 (*.f64 (log.f64 y) #s(literal 1 binary64)))) (fma.f64 (neg.f64 (log.f64 y)) #s(literal 1 binary64) (*.f64 (log.f64 y) #s(literal 1 binary64))))
(+.f64 (fma.f64 #s(literal 1/2 binary64) (log.f64 x) (neg.f64 (*.f64 (cbrt.f64 (log.f64 y)) (*.f64 (cbrt.f64 (log.f64 y)) (cbrt.f64 (log.f64 y)))))) (fma.f64 (neg.f64 (cbrt.f64 (log.f64 y))) (*.f64 (cbrt.f64 (log.f64 y)) (cbrt.f64 (log.f64 y))) (*.f64 (cbrt.f64 (log.f64 y)) (*.f64 (cbrt.f64 (log.f64 y)) (cbrt.f64 (log.f64 y))))))
(+.f64 (fma.f64 #s(literal 1 binary64) (log.f64 (sqrt.f64 x)) (neg.f64 (*.f64 (log.f64 y) #s(literal 1 binary64)))) (fma.f64 (neg.f64 (log.f64 y)) #s(literal 1 binary64) (*.f64 (log.f64 y) #s(literal 1 binary64))))
(+.f64 (fma.f64 #s(literal 1 binary64) (log.f64 (sqrt.f64 x)) (neg.f64 (*.f64 (cbrt.f64 (log.f64 y)) (*.f64 (cbrt.f64 (log.f64 y)) (cbrt.f64 (log.f64 y)))))) (fma.f64 (neg.f64 (cbrt.f64 (log.f64 y))) (*.f64 (cbrt.f64 (log.f64 y)) (cbrt.f64 (log.f64 y))) (*.f64 (cbrt.f64 (log.f64 y)) (*.f64 (cbrt.f64 (log.f64 y)) (cbrt.f64 (log.f64 y))))))
(+.f64 (fma.f64 (*.f64 (cbrt.f64 (log.f64 (sqrt.f64 x))) (cbrt.f64 (log.f64 (sqrt.f64 x)))) (cbrt.f64 (log.f64 (sqrt.f64 x))) (neg.f64 (*.f64 (log.f64 y) #s(literal 1 binary64)))) (fma.f64 (neg.f64 (log.f64 y)) #s(literal 1 binary64) (*.f64 (log.f64 y) #s(literal 1 binary64))))
(+.f64 (fma.f64 (*.f64 (cbrt.f64 (log.f64 (sqrt.f64 x))) (cbrt.f64 (log.f64 (sqrt.f64 x)))) (cbrt.f64 (log.f64 (sqrt.f64 x))) (neg.f64 (*.f64 (cbrt.f64 (log.f64 y)) (*.f64 (cbrt.f64 (log.f64 y)) (cbrt.f64 (log.f64 y)))))) (fma.f64 (neg.f64 (cbrt.f64 (log.f64 y))) (*.f64 (cbrt.f64 (log.f64 y)) (cbrt.f64 (log.f64 y))) (*.f64 (cbrt.f64 (log.f64 y)) (*.f64 (cbrt.f64 (log.f64 y)) (cbrt.f64 (log.f64 y))))))
(+.f64 (fma.f64 (sqrt.f64 (log.f64 (sqrt.f64 x))) (sqrt.f64 (log.f64 (sqrt.f64 x))) (neg.f64 (*.f64 (log.f64 y) #s(literal 1 binary64)))) (fma.f64 (neg.f64 (log.f64 y)) #s(literal 1 binary64) (*.f64 (log.f64 y) #s(literal 1 binary64))))
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(-.f64 (log.f64 (sqrt.f64 x)) (log.f64 y))
(-.f64 (exp.f64 (log1p.f64 (log.f64 (/.f64 (sqrt.f64 x) y)))) #s(literal 1 binary64))
(-.f64 #s(literal 0 binary64) (log.f64 (/.f64 y (sqrt.f64 x))))
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(*.f64 (cbrt.f64 (pow.f64 (log.f64 (/.f64 (sqrt.f64 x) y)) #s(literal 2 binary64))) (cbrt.f64 (log.f64 (/.f64 (sqrt.f64 x) y))))
(*.f64 (sqrt.f64 (log.f64 (/.f64 (sqrt.f64 x) y))) (sqrt.f64 (log.f64 (/.f64 (sqrt.f64 x) y))))
(/.f64 (-.f64 (pow.f64 (log.f64 (sqrt.f64 x)) #s(literal 3 binary64)) (pow.f64 (log.f64 y) #s(literal 3 binary64))) (fma.f64 (log.f64 (sqrt.f64 x)) (log.f64 (sqrt.f64 x)) (fma.f64 (log.f64 y) (log.f64 y) (*.f64 (log.f64 (sqrt.f64 x)) (log.f64 y)))))
(/.f64 (-.f64 (*.f64 (log.f64 (sqrt.f64 x)) (log.f64 (sqrt.f64 x))) (*.f64 (log.f64 y) (log.f64 y))) (fma.f64 #s(literal 1/2 binary64) (log.f64 x) (log.f64 y)))
(pow.f64 (log.f64 (/.f64 (sqrt.f64 x) y)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (log.f64 (/.f64 (sqrt.f64 x) y))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (log.f64 (/.f64 (sqrt.f64 x) y)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (log.f64 (/.f64 (sqrt.f64 x) y))) #s(literal 2 binary64))
(neg.f64 (log.f64 (/.f64 y (sqrt.f64 x))))
(sqrt.f64 (pow.f64 (log.f64 (/.f64 (sqrt.f64 x) y)) #s(literal 2 binary64)))
(cbrt.f64 (pow.f64 (log.f64 (/.f64 (sqrt.f64 x) y)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (log.f64 (/.f64 (sqrt.f64 x) y))))
(log1p.f64 (-.f64 (/.f64 (sqrt.f64 x) y) #s(literal 1 binary64)))
(exp.f64 (log.f64 (log.f64 (/.f64 (sqrt.f64 x) y))))
(exp.f64 (*.f64 (log.f64 (log.f64 (/.f64 (sqrt.f64 x) y))) #s(literal 1 binary64)))
(fma.f64 #s(literal 1/2 binary64) (log.f64 x) (log.f64 (/.f64 #s(literal 1 binary64) y)))
(fma.f64 #s(literal 1/2 binary64) (log.f64 x) (neg.f64 (log.f64 y)))
(fma.f64 #s(literal 1 binary64) (log.f64 (sqrt.f64 x)) (log.f64 (/.f64 #s(literal 1 binary64) y)))
(fma.f64 #s(literal 1 binary64) (log.f64 (sqrt.f64 x)) (neg.f64 (log.f64 y)))
(fma.f64 (*.f64 (cbrt.f64 (log.f64 (sqrt.f64 x))) (cbrt.f64 (log.f64 (sqrt.f64 x)))) (cbrt.f64 (log.f64 (sqrt.f64 x))) (log.f64 (/.f64 #s(literal 1 binary64) y)))
(fma.f64 (*.f64 (cbrt.f64 (log.f64 (sqrt.f64 x))) (cbrt.f64 (log.f64 (sqrt.f64 x)))) (cbrt.f64 (log.f64 (sqrt.f64 x))) (neg.f64 (log.f64 y)))
(fma.f64 (sqrt.f64 (log.f64 (sqrt.f64 x))) (sqrt.f64 (log.f64 (sqrt.f64 x))) (log.f64 (/.f64 #s(literal 1 binary64) y)))
(fma.f64 (sqrt.f64 (log.f64 (sqrt.f64 x))) (sqrt.f64 (log.f64 (sqrt.f64 x))) (neg.f64 (log.f64 y)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 x (pow.f64 y #s(literal 2 binary64))))) #s(literal 1 binary64))
(*.f64 x (pow.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 2 binary64)))
(*.f64 x (*.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 1 binary64) y)))
(*.f64 x (/.f64 (/.f64 #s(literal 1 binary64) y) y))
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(*.f64 (/.f64 (cbrt.f64 (pow.f64 x #s(literal 2 binary64))) y) (/.f64 (cbrt.f64 x) y))
(*.f64 (/.f64 (cbrt.f64 x) y) (/.f64 (cbrt.f64 (pow.f64 x #s(literal 2 binary64))) y))
(*.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 #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 (/.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 (/.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 (/.f64 (cbrt.f64 (pow.f64 x #s(literal 2 binary64))) y)) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (/.f64 (cbrt.f64 (pow.f64 x #s(literal 2 binary64))) y)) (/.f64 (cbrt.f64 x) y)))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 x y)) #s(literal 2 binary64)) (/.f64 (cbrt.f64 (/.f64 x y)) y))
(*.f64 (cbrt.f64 (pow.f64 (/.f64 (cbrt.f64 x) y) #s(literal 2 binary64))) (*.f64 (cbrt.f64 (/.f64 (cbrt.f64 x) y)) (/.f64 (cbrt.f64 (pow.f64 x #s(literal 2 binary64))) y)))
(*.f64 (/.f64 (cbrt.f64 x) (sqrt.f64 y)) (*.f64 (/.f64 (cbrt.f64 x) (sqrt.f64 y)) (/.f64 (cbrt.f64 x) y)))
(*.f64 (sqrt.f64 (/.f64 x y)) (/.f64 (sqrt.f64 (/.f64 x y)) y))
(*.f64 (sqrt.f64 (/.f64 (cbrt.f64 x) y)) (*.f64 (sqrt.f64 (/.f64 (cbrt.f64 x) y)) (/.f64 (cbrt.f64 (pow.f64 x #s(literal 2 binary64))) y)))
(*.f64 (sqrt.f64 (/.f64 (sqrt.f64 x) y)) (*.f64 (sqrt.f64 (/.f64 (sqrt.f64 x) y)) (/.f64 (sqrt.f64 x) y)))
(*.f64 (/.f64 #s(literal 1 binary64) y) (/.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 #s(literal 1 binary64) (cbrt.f64 (pow.f64 y #s(literal 2 binary64)))) (/.f64 (/.f64 x y) (cbrt.f64 y)))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 y)) (/.f64 (/.f64 x y) (sqrt.f64 y)))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 x #s(literal 2 binary64))) (sqrt.f64 y)) (/.f64 (/.f64 (cbrt.f64 x) y) (sqrt.f64 y)))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 x #s(literal 2 binary64))) #s(literal 1 binary64)) (/.f64 (/.f64 (cbrt.f64 x) y) y))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 x #s(literal 2 binary64))) (cbrt.f64 (pow.f64 y #s(literal 2 binary64)))) (/.f64 (/.f64 (cbrt.f64 x) y) (cbrt.f64 y)))
(*.f64 (/.f64 x (sqrt.f64 y)) (/.f64 (/.f64 #s(literal 1 binary64) y) (sqrt.f64 y)))
(*.f64 (/.f64 x #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) y) y))
(*.f64 (/.f64 x (cbrt.f64 (pow.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)) (cbrt.f64 (pow.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)) (cbrt.f64 (pow.f64 y #s(literal 2 binary64)))) (/.f64 (sqrt.f64 (/.f64 x y)) (cbrt.f64 y)))
(*.f64 (/.f64 (/.f64 (cbrt.f64 (pow.f64 x #s(literal 2 binary64))) y) #s(literal 1 binary64)) (/.f64 (cbrt.f64 x) y))
(*.f64 (/.f64 (/.f64 (cbrt.f64 (pow.f64 x #s(literal 2 binary64))) y) (cbrt.f64 (pow.f64 y #s(literal 2 binary64)))) (cbrt.f64 (/.f64 x y)))
(*.f64 (/.f64 (/.f64 (cbrt.f64 (pow.f64 x #s(literal 2 binary64))) y) (sqrt.f64 y)) (/.f64 (cbrt.f64 x) (sqrt.f64 y)))
(*.f64 (/.f64 #s(literal 1 binary64) (neg.f64 y)) (/.f64 x (neg.f64 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 (*.f64 (/.f64 (cbrt.f64 (pow.f64 x #s(literal 2 binary64))) y) (cbrt.f64 (pow.f64 (/.f64 (cbrt.f64 x) y) #s(literal 2 binary64)))) (cbrt.f64 (/.f64 (cbrt.f64 x) y)))
(*.f64 (*.f64 (/.f64 (cbrt.f64 (pow.f64 x #s(literal 2 binary64))) y) (sqrt.f64 (/.f64 (cbrt.f64 x) y))) (sqrt.f64 (/.f64 (cbrt.f64 x) y)))
(*.f64 (*.f64 (/.f64 (cbrt.f64 x) y) (pow.f64 (cbrt.f64 (/.f64 (cbrt.f64 (pow.f64 x #s(literal 2 binary64))) y)) #s(literal 2 binary64))) (cbrt.f64 (/.f64 (cbrt.f64 (pow.f64 x #s(literal 2 binary64))) y)))
(*.f64 (*.f64 (/.f64 (cbrt.f64 x) y) (/.f64 (cbrt.f64 x) (sqrt.f64 y))) (/.f64 (cbrt.f64 x) (sqrt.f64 y)))
(/.f64 x (pow.f64 y #s(literal 2 binary64)))
(/.f64 (sqrt.f64 x) (*.f64 y (/.f64 y (sqrt.f64 x))))
(/.f64 (sqrt.f64 x) (*.f64 (/.f64 y (sqrt.f64 x)) y))
(/.f64 (/.f64 (sqrt.f64 x) y) (/.f64 y (sqrt.f64 x)))
(/.f64 (cbrt.f64 x) (*.f64 y (/.f64 y (cbrt.f64 (pow.f64 x #s(literal 2 binary64))))))
(/.f64 (cbrt.f64 x) (*.f64 (/.f64 y (cbrt.f64 (pow.f64 x #s(literal 2 binary64)))) y))
(/.f64 (cbrt.f64 (pow.f64 x #s(literal 2 binary64))) (*.f64 y (/.f64 y (cbrt.f64 x))))
(/.f64 (cbrt.f64 (pow.f64 x #s(literal 2 binary64))) (*.f64 (/.f64 y (cbrt.f64 x)) y))
(/.f64 (/.f64 (cbrt.f64 (pow.f64 x #s(literal 2 binary64))) y) (/.f64 y (cbrt.f64 x)))
(/.f64 (/.f64 (cbrt.f64 x) y) (/.f64 y (cbrt.f64 (pow.f64 x #s(literal 2 binary64)))))
(/.f64 (/.f64 x y) y)
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (pow.f64 y #s(literal 2 binary64)) x)))
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) x))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 y (cbrt.f64 (pow.f64 x #s(literal 2 binary64)))) (/.f64 y (cbrt.f64 x))))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 y (cbrt.f64 x)) (/.f64 y (cbrt.f64 (pow.f64 x #s(literal 2 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (pow.f64 y #s(literal 2 binary64)) x) #s(literal 1 binary64)))
(/.f64 (neg.f64 (cbrt.f64 (pow.f64 x #s(literal 2 binary64)))) (*.f64 (/.f64 y (cbrt.f64 x)) (neg.f64 y)))
(/.f64 (/.f64 x (neg.f64 y)) (neg.f64 y))
(/.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 (neg.f64 (cbrt.f64 x)) (*.f64 (/.f64 y (cbrt.f64 (pow.f64 x #s(literal 2 binary64)))) (neg.f64 y)))
(/.f64 (neg.f64 (sqrt.f64 x)) (*.f64 (/.f64 y (sqrt.f64 x)) (neg.f64 y)))
(/.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 y x))
(/.f64 (*.f64 (neg.f64 (sqrt.f64 x)) (neg.f64 (sqrt.f64 x))) (*.f64 (neg.f64 y) (neg.f64 y)))
(/.f64 (*.f64 (neg.f64 (cbrt.f64 (pow.f64 x #s(literal 2 binary64)))) #s(literal 1 binary64)) (*.f64 (neg.f64 y) (/.f64 y (cbrt.f64 x))))
(/.f64 (*.f64 (neg.f64 (sqrt.f64 x)) #s(literal 1 binary64)) (*.f64 (neg.f64 y) (/.f64 y (sqrt.f64 x))))
(/.f64 (*.f64 (neg.f64 (cbrt.f64 x)) #s(literal 1 binary64)) (*.f64 (neg.f64 y) (/.f64 y (cbrt.f64 (pow.f64 x #s(literal 2 binary64))))))
(/.f64 (*.f64 (neg.f64 (cbrt.f64 (pow.f64 x #s(literal 2 binary64)))) (neg.f64 (cbrt.f64 x))) (*.f64 (neg.f64 y) (neg.f64 y)))
(/.f64 (*.f64 (cbrt.f64 x) (neg.f64 (cbrt.f64 (pow.f64 x #s(literal 2 binary64))))) (*.f64 y (neg.f64 y)))
(/.f64 (*.f64 (neg.f64 (cbrt.f64 x)) (cbrt.f64 (pow.f64 x #s(literal 2 binary64)))) (*.f64 (neg.f64 y) y))
(/.f64 (*.f64 (neg.f64 (cbrt.f64 x)) (neg.f64 (cbrt.f64 (pow.f64 x #s(literal 2 binary64))))) (*.f64 (neg.f64 y) (neg.f64 y)))
(/.f64 (/.f64 (/.f64 x y) (sqrt.f64 y)) (sqrt.f64 y))
(/.f64 (/.f64 (/.f64 x y) #s(literal 1 binary64)) y)
(/.f64 (*.f64 (/.f64 (sqrt.f64 x) y) (sqrt.f64 x)) y)
(/.f64 (*.f64 (/.f64 (sqrt.f64 x) y) (neg.f64 (sqrt.f64 x))) (neg.f64 y))
(/.f64 (*.f64 (/.f64 (cbrt.f64 (pow.f64 x #s(literal 2 binary64))) y) (neg.f64 (cbrt.f64 x))) (neg.f64 y))
(/.f64 (*.f64 (/.f64 (cbrt.f64 x) y) (neg.f64 (cbrt.f64 (pow.f64 x #s(literal 2 binary64))))) (neg.f64 y))
(/.f64 (*.f64 (neg.f64 (sqrt.f64 x)) (/.f64 (sqrt.f64 x) y)) (neg.f64 y))
(/.f64 (*.f64 (neg.f64 (cbrt.f64 (pow.f64 x #s(literal 2 binary64)))) (/.f64 (cbrt.f64 x) y)) (neg.f64 y))
(/.f64 (*.f64 (neg.f64 (cbrt.f64 x)) (/.f64 (cbrt.f64 (pow.f64 x #s(literal 2 binary64))) 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)))
(/.f64 (/.f64 (/.f64 x y) (cbrt.f64 (pow.f64 y #s(literal 2 binary64)))) (cbrt.f64 y))
(sqrt.f64 (pow.f64 (/.f64 (sqrt.f64 x) y) #s(literal 4 binary64)))
(log.f64 (exp.f64 (/.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 (/.f64 (cbrt.f64 (pow.f64 x #s(literal 2 binary64))) y) #s(literal 3 binary64)) (pow.f64 (/.f64 (cbrt.f64 x) y) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 (cbrt.f64 x) y) #s(literal 3 binary64)) (pow.f64 (/.f64 (cbrt.f64 (pow.f64 x #s(literal 2 binary64))) 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)))))
Outputs
(log.f64 (*.f64 (sqrt.f64 x) (/.f64 #s(literal 1 binary64) y)))
(log.f64 (/.f64 (sqrt.f64 x) y))
(log.f64 (*.f64 (sqrt.f64 x) (/.f64 #s(literal 1 binary64) y)))
(log.f64 (/.f64 (sqrt.f64 x) y))
(log.f64 (*.f64 (sqrt.f64 x) (/.f64 #s(literal 1 binary64) y)))
(log.f64 (/.f64 (sqrt.f64 x) y))
(log.f64 (*.f64 (sqrt.f64 x) (/.f64 #s(literal 1 binary64) y)))
(log.f64 (/.f64 (sqrt.f64 x) y))
(+.f64 (log.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) y))) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) x))))
(+.f64 (log.f64 (*.f64 (/.f64 #s(literal 1 binary64) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) (neg.f64 (neg.f64 (log.f64 x))))
(+.f64 (log.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y)) (log.f64 x))
(+.f64 (log.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) y))) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) x))))
(+.f64 (log.f64 (*.f64 (/.f64 #s(literal 1 binary64) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) (neg.f64 (neg.f64 (log.f64 x))))
(+.f64 (log.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y)) (log.f64 x))
(+.f64 (log.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) y))) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) x))))
(+.f64 (log.f64 (*.f64 (/.f64 #s(literal 1 binary64) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) (neg.f64 (neg.f64 (log.f64 x))))
(+.f64 (log.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y)) (log.f64 x))
(+.f64 (log.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) y))) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) x))))
(+.f64 (log.f64 (*.f64 (/.f64 #s(literal 1 binary64) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) (neg.f64 (neg.f64 (log.f64 x))))
(+.f64 (log.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y)) (log.f64 x))
(+.f64 (log.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) y))) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x))))
(+.f64 (log.f64 (/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) y)) (neg.f64 (log.f64 (/.f64 #s(literal -1 binary64) x))))
(-.f64 (log.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal -1 binary64) y))) (log.f64 (/.f64 #s(literal -1 binary64) x)))
(-.f64 (log.f64 (/.f64 (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) y)) (log.f64 (/.f64 #s(literal -1 binary64) x)))
(+.f64 (log.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) y))) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x))))
(+.f64 (log.f64 (/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) y)) (neg.f64 (log.f64 (/.f64 #s(literal -1 binary64) x))))
(-.f64 (log.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal -1 binary64) y))) (log.f64 (/.f64 #s(literal -1 binary64) x)))
(-.f64 (log.f64 (/.f64 (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) y)) (log.f64 (/.f64 #s(literal -1 binary64) x)))
(+.f64 (log.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) y))) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x))))
(+.f64 (log.f64 (/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) y)) (neg.f64 (log.f64 (/.f64 #s(literal -1 binary64) x))))
(-.f64 (log.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal -1 binary64) y))) (log.f64 (/.f64 #s(literal -1 binary64) x)))
(-.f64 (log.f64 (/.f64 (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) y)) (log.f64 (/.f64 #s(literal -1 binary64) x)))
(+.f64 (log.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) y))) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x))))
(+.f64 (log.f64 (/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) y)) (neg.f64 (log.f64 (/.f64 #s(literal -1 binary64) x))))
(-.f64 (log.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal -1 binary64) y))) (log.f64 (/.f64 #s(literal -1 binary64) x)))
(-.f64 (log.f64 (/.f64 (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) y)) (log.f64 (/.f64 #s(literal -1 binary64) x)))
(+.f64 (log.f64 (sqrt.f64 x)) (*.f64 #s(literal -1 binary64) (log.f64 y)))
(-.f64 (log.f64 (sqrt.f64 x)) (log.f64 y))
(+.f64 (log.f64 (sqrt.f64 x)) (*.f64 #s(literal -1 binary64) (log.f64 y)))
(-.f64 (log.f64 (sqrt.f64 x)) (log.f64 y))
(+.f64 (log.f64 (sqrt.f64 x)) (*.f64 #s(literal -1 binary64) (log.f64 y)))
(-.f64 (log.f64 (sqrt.f64 x)) (log.f64 y))
(+.f64 (log.f64 (sqrt.f64 x)) (*.f64 #s(literal -1 binary64) (log.f64 y)))
(-.f64 (log.f64 (sqrt.f64 x)) (log.f64 y))
(+.f64 (log.f64 (sqrt.f64 x)) (log.f64 (/.f64 #s(literal 1 binary64) y)))
(-.f64 (log.f64 (sqrt.f64 x)) (log.f64 y))
(+.f64 (log.f64 (sqrt.f64 x)) (log.f64 (/.f64 #s(literal 1 binary64) y)))
(-.f64 (log.f64 (sqrt.f64 x)) (log.f64 y))
(+.f64 (log.f64 (sqrt.f64 x)) (log.f64 (/.f64 #s(literal 1 binary64) y)))
(-.f64 (log.f64 (sqrt.f64 x)) (log.f64 y))
(+.f64 (log.f64 (sqrt.f64 x)) (log.f64 (/.f64 #s(literal 1 binary64) y)))
(-.f64 (log.f64 (sqrt.f64 x)) (log.f64 y))
(+.f64 (log.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 x))) (log.f64 (/.f64 #s(literal -1 binary64) y)))
(+.f64 (log.f64 (/.f64 #s(literal -1 binary64) y)) (log.f64 (neg.f64 (sqrt.f64 x))))
(-.f64 (log.f64 (neg.f64 (sqrt.f64 x))) (log.f64 (neg.f64 y)))
(+.f64 (log.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 x))) (log.f64 (/.f64 #s(literal -1 binary64) y)))
(+.f64 (log.f64 (/.f64 #s(literal -1 binary64) y)) (log.f64 (neg.f64 (sqrt.f64 x))))
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(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 (cbrt.f64 (pow.f64 x #s(literal 2 binary64))) y) #s(literal 3 binary64)) (pow.f64 (/.f64 (cbrt.f64 x) y) #s(literal 3 binary64))))
(cbrt.f64 (/.f64 (*.f64 (/.f64 x (pow.f64 y #s(literal 3 binary64))) (pow.f64 x #s(literal 2 binary64))) (pow.f64 y #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 3 binary64))) (/.f64 x (pow.f64 y #s(literal 3 binary64)))))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 (cbrt.f64 x) y) #s(literal 3 binary64)) (pow.f64 (/.f64 (cbrt.f64 (pow.f64 x #s(literal 2 binary64))) y) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 (cbrt.f64 (pow.f64 x #s(literal 2 binary64))) y) #s(literal 3 binary64)) (pow.f64 (/.f64 (cbrt.f64 x) y) #s(literal 3 binary64))))
(cbrt.f64 (/.f64 (*.f64 (/.f64 x (pow.f64 y #s(literal 3 binary64))) (pow.f64 x #s(literal 2 binary64))) (pow.f64 y #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 3 binary64))) (/.f64 x (pow.f64 y #s(literal 3 binary64)))))
(cbrt.f64 (/.f64 (pow.f64 (/.f64 x y) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))
(/.f64 x (pow.f64 y #s(literal 2 binary64)))
(expm1.f64 (log1p.f64 (/.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)))
(exp.f64 (log.f64 (/.f64 x (pow.f64 y #s(literal 2 binary64)))))
(/.f64 x (pow.f64 y #s(literal 2 binary64)))

eval48.0ms (0.9%)

Compiler

Compiled 3912 to 1905 computations (51.3% saved)

prune48.0ms (0.9%)

Pruning

11 alts after pruning (9 fresh and 2 done)

PrunedKeptTotal
New2718279
Fresh213
Picked415
Done011
Total27711288
Accuracy
100.0%
Counts
288 → 11
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 (/.f64 (/.f64 x y) (sqrt.f64 y)) (sqrt.f64 y))
99.8%
(/.f64 (/.f64 x y) y)
99.7%
(/.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 y x))
93.8%
(/.f64 (sqrt.f64 x) (*.f64 (/.f64 y (sqrt.f64 x)) y))
88.6%
(/.f64 x (*.f64 y y))
88.6%
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) x))
98.9%
(*.f64 (pow.f64 (cbrt.f64 (/.f64 x y)) #s(literal 2 binary64)) (/.f64 (cbrt.f64 (/.f64 x y)) y))
88.1%
(*.f64 (pow.f64 y #s(literal -2 binary64)) x)
99.5%
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 y)) (/.f64 (/.f64 x y) (sqrt.f64 y)))
99.5%
(*.f64 (sqrt.f64 (/.f64 x y)) (/.f64 (sqrt.f64 (/.f64 x y)) y))
Compiler

Compiled 205 to 122 computations (40.5% saved)

localize178.0ms (3.2%)

Algorithm
egg-herbie
Localize:

Found 8 expressions of interest:

NewMetricScoreProgram
cost-diff0
(/.f64 x y)
cost-diff128
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) x))
cost-diff6592
(/.f64 (/.f64 (/.f64 x y) (sqrt.f64 y)) (sqrt.f64 y))
cost-diff6720
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 y)) (/.f64 (/.f64 x y) (sqrt.f64 y)))
accuracy99.7%
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 y)) (/.f64 (/.f64 x y) (sqrt.f64 y)))
accuracy99.6%
(/.f64 #s(literal 1 binary64) (sqrt.f64 y))
accuracy99.6%
(/.f64 (/.f64 x y) (sqrt.f64 y))
accuracy88.4%
(/.f64 (pow.f64 y #s(literal 2 binary64)) x)
Rules
51×times-frac
44×associate-*r*
35×associate-*r/
34×associate-*l*
27×associate-/r*
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
023312
145312
271306
3142306
4257306
5301306
6331306
Stop Event
saturated
Calls
Call 1
Inputs
(/.f64 (/.f64 x y) y)
(/.f64 x y)
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 #s(literal 1 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) x))
#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
(/.f64 (/.f64 (/.f64 x y) (sqrt.f64 y)) (sqrt.f64 y))
(/.f64 (/.f64 x y) (sqrt.f64 y))
(/.f64 x y)
x
y
(sqrt.f64 y)
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 y)) (/.f64 (/.f64 x y) (sqrt.f64 y)))
(/.f64 #s(literal 1 binary64) (sqrt.f64 y))
#s(literal 1 binary64)
(sqrt.f64 y)
y
(/.f64 (/.f64 x y) (sqrt.f64 y))
(/.f64 x y)
x
Outputs
(/.f64 (/.f64 x y) y)
(/.f64 x (pow.f64 y #s(literal 2 binary64)))
(/.f64 x y)
x
y
(/.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 y x))
(/.f64 x (pow.f64 y #s(literal 2 binary64)))
(/.f64 #s(literal 1 binary64) y)
#s(literal 1 binary64)
y
(/.f64 y x)
x
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) x))
(/.f64 x (pow.f64 y #s(literal 2 binary64)))
#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
(/.f64 (/.f64 (/.f64 x y) (sqrt.f64 y)) (sqrt.f64 y))
(/.f64 x (pow.f64 y #s(literal 2 binary64)))
(/.f64 (/.f64 x y) (sqrt.f64 y))
(/.f64 x (*.f64 (sqrt.f64 y) y))
(/.f64 x (*.f64 y (sqrt.f64 y)))
(/.f64 x (pow.f64 (sqrt.f64 y) #s(literal 3 binary64)))
(/.f64 x y)
x
y
(sqrt.f64 y)
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 y)) (/.f64 (/.f64 x y) (sqrt.f64 y)))
(/.f64 x (pow.f64 y #s(literal 2 binary64)))
(/.f64 #s(literal 1 binary64) (sqrt.f64 y))
#s(literal 1 binary64)
(sqrt.f64 y)
y
(/.f64 (/.f64 x y) (sqrt.f64 y))
(/.f64 x (*.f64 (sqrt.f64 y) y))
(/.f64 x (*.f64 y (sqrt.f64 y)))
(/.f64 x (pow.f64 (sqrt.f64 y) #s(literal 3 binary64)))
(/.f64 x y)
x
Results
70.0ms256×0valid
Compiler

Compiled 99 to 33 computations (66.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 39.0ms
ival-div: 21.0ms (54% of total)
ival-pow: 13.0ms (33.4% of total)
ival-mult: 2.0ms (5.1% of total)
ival-sqrt: 2.0ms (5.1% of total)
const: 2.0ms (5.1% of total)
backward-pass: 0.0ms (0% of total)

series19.0ms (0.3%)

Counts
7 → 108
Calls
Call 1
Inputs
#<alt (/.f64 (pow.f64 y #s(literal 2 binary64)) x)>
#<alt (/.f64 (/.f64 x y) (sqrt.f64 y))>
#<alt (/.f64 #s(literal 1 binary64) (sqrt.f64 y))>
#<alt (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 y)) (/.f64 (/.f64 x y) (sqrt.f64 y)))>
#<alt (/.f64 (/.f64 (/.f64 x y) (sqrt.f64 y)) (sqrt.f64 y))>
#<alt (/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) x))>
#<alt (/.f64 x y)>
Outputs
#<alt (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))))>
#<alt (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))))>
#<alt (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))))>
#<alt (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))))>
#<alt (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))))>
#<alt (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))))>
#<alt (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))))>
#<alt (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))))>
#<alt (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))))>
#<alt (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))))>
#<alt (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))))>
#<alt (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))))>
#<alt (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))))>
#<alt (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))))>
#<alt (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))))>
#<alt (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))))>
#<alt (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))))>
#<alt (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))))>
#<alt (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))))>
#<alt (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))))>
#<alt (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))))>
#<alt (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))))>
#<alt (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))))>
#<alt (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))))>
#<alt (sqrt.f64 (/.f64 #s(literal 1 binary64) y))>
#<alt (sqrt.f64 (/.f64 #s(literal 1 binary64) y))>
#<alt (sqrt.f64 (/.f64 #s(literal 1 binary64) y))>
#<alt (sqrt.f64 (/.f64 #s(literal 1 binary64) y))>
#<alt (sqrt.f64 (/.f64 #s(literal 1 binary64) y))>
#<alt (sqrt.f64 (/.f64 #s(literal 1 binary64) y))>
#<alt (sqrt.f64 (/.f64 #s(literal 1 binary64) y))>
#<alt (sqrt.f64 (/.f64 #s(literal 1 binary64) y))>
#<alt (sqrt.f64 (/.f64 #s(literal 1 binary64) y))>
#<alt (sqrt.f64 (/.f64 #s(literal 1 binary64) y))>
#<alt (sqrt.f64 (/.f64 #s(literal 1 binary64) y))>
#<alt (sqrt.f64 (/.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 x (*.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 x (*.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 x (*.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 x (*.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #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) (/.f64 x (*.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 x (*.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 x (*.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 x (*.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #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

39 calls:

TimeVariablePointExpression
3.0ms
x
@0
(/ (/ x y) (sqrt y))
2.0ms
x
@-inf
(/ x y)
1.0ms
y
@-inf
(* (/ 1 (sqrt y)) (/ (/ x y) (sqrt y)))
1.0ms
y
@-inf
(/ (/ x y) (sqrt y))
1.0ms
y
@0
(/ (/ x y) (sqrt y))

rewrite264.0ms (4.7%)

Algorithm
batch-egg-rewrite
Rules
727×log1p-expm1-u
727×expm1-log1p-u
669×log-prod
174×expm1-undefine
174×log1p-undefine
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
019138
1271118
23699118
Stop Event
node limit
Counts
7 → 424
Calls
Call 1
Inputs
(/.f64 (pow.f64 y #s(literal 2 binary64)) x)
(/.f64 (/.f64 x y) (sqrt.f64 y))
(/.f64 #s(literal 1 binary64) (sqrt.f64 y))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 y)) (/.f64 (/.f64 x y) (sqrt.f64 y)))
(/.f64 (/.f64 (/.f64 x y) (sqrt.f64 y)) (sqrt.f64 y))
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) x))
(/.f64 x y)
Outputs
(+.f64 #s(literal 0 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) x))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (/.f64 (pow.f64 y #s(literal 2 binary64)) x))) (cbrt.f64 (exp.f64 (/.f64 (pow.f64 y #s(literal 2 binary64)) x))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (pow.f64 y #s(literal 2 binary64)) x)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (pow.f64 y #s(literal 2 binary64)) x)))) (log.f64 (sqrt.f64 (exp.f64 (/.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 y x))
(*.f64 (pow.f64 y #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) x))
(*.f64 (pow.f64 y #s(literal 2 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)))
(*.f64 (/.f64 (pow.f64 y #s(literal 2 binary64)) x) #s(literal 1 binary64))
(*.f64 (sqrt.f64 y) (/.f64 #s(literal 1 binary64) (/.f64 x (pow.f64 y #s(literal 3/2 binary64)))))
(*.f64 #s(literal 1 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) x))
(*.f64 (cbrt.f64 (pow.f64 y #s(literal 4 binary64))) (/.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) x))
(*.f64 (cbrt.f64 (pow.f64 y #s(literal 4 binary64))) (*.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) x)))
(*.f64 (cbrt.f64 (/.f64 (pow.f64 y #s(literal 2 binary64)) x)) (pow.f64 (cbrt.f64 (/.f64 (pow.f64 y #s(literal 2 binary64)) x)) #s(literal 2 binary64)))
(*.f64 (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)))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (pow.f64 y #s(literal 2 binary64)) x)) #s(literal 2 binary64)) (/.f64 (cbrt.f64 (/.f64 (pow.f64 y #s(literal 2 binary64)) x)) #s(literal 1 binary64)))
(*.f64 (cbrt.f64 y) (/.f64 (cbrt.f64 (sqrt.f64 y)) (/.f64 x (pow.f64 y #s(literal 3/2 binary64)))))
(*.f64 (pow.f64 y #s(literal 1/4 binary64)) (/.f64 (pow.f64 y #s(literal 1/4 binary64)) (/.f64 x (pow.f64 y #s(literal 3/2 binary64)))))
(*.f64 (/.f64 y (sqrt.f64 x)) (/.f64 y (sqrt.f64 x)))
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(*.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 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)) (cbrt.f64 (pow.f64 y #s(literal 4 binary64)))) (/.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))))
(*.f64 (/.f64 (sqrt.f64 x) y) (/.f64 (sqrt.f64 x) y))
(*.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) (cbrt.f64 (pow.f64 y #s(literal 4 binary64)))) (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))))
(*.f64 (/.f64 x (sqrt.f64 y)) (pow.f64 (pow.f64 y #s(literal -1/2 binary64)) #s(literal 3 binary64)))
(*.f64 (/.f64 x #s(literal 1 binary64)) (pow.f64 y #s(literal -2 binary64)))
(*.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) (cbrt.f64 y)) (/.f64 (pow.f64 y #s(literal -1/2 binary64)) (cbrt.f64 (sqrt.f64 y))))
(*.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 (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 (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 y #s(literal 1/4 binary64))) (/.f64 (pow.f64 y #s(literal -1/2 binary64)) (pow.f64 y #s(literal 1/4 binary64))))
(*.f64 (/.f64 (pow.f64 y #s(literal -1/2 binary64)) (pow.f64 y #s(literal 1/4 binary64))) (/.f64 (/.f64 x y) (pow.f64 y #s(literal 1/4 binary64))))
(*.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 y)) (/.f64 (/.f64 x (pow.f64 y #s(literal 3/2 binary64))) (cbrt.f64 (sqrt.f64 y))))
(*.f64 (/.f64 (pow.f64 (/.f64 (cbrt.f64 x) (sqrt.f64 y)) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (/.f64 (cbrt.f64 x) (sqrt.f64 y)) (sqrt.f64 y)))
(*.f64 (/.f64 (pow.f64 (/.f64 (cbrt.f64 x) (sqrt.f64 y)) #s(literal 2 binary64)) (cbrt.f64 y)) (cbrt.f64 (*.f64 x (pow.f64 y #s(literal -2 binary64)))))
(*.f64 (/.f64 (pow.f64 (/.f64 (cbrt.f64 x) (sqrt.f64 y)) #s(literal 2 binary64)) (pow.f64 y #s(literal 1/4 binary64))) (/.f64 (/.f64 (cbrt.f64 x) (sqrt.f64 y)) (pow.f64 y #s(literal 1/4 binary64))))
(*.f64 (/.f64 (sqrt.f64 (/.f64 x (pow.f64 y #s(literal 3/2 binary64)))) #s(literal 1 binary64)) (/.f64 (sqrt.f64 (/.f64 x (pow.f64 y #s(literal 3/2 binary64)))) (sqrt.f64 y)))
(*.f64 (/.f64 (sqrt.f64 (/.f64 x (pow.f64 y #s(literal 3/2 binary64)))) (cbrt.f64 y)) (/.f64 (sqrt.f64 (/.f64 x (pow.f64 y #s(literal 3/2 binary64)))) (cbrt.f64 (sqrt.f64 y))))
(*.f64 (/.f64 (pow.f64 y #s(literal -1/2 binary64)) #s(literal 1 binary64)) (/.f64 x (pow.f64 y #s(literal 3/2 binary64))))
(*.f64 (/.f64 (pow.f64 y #s(literal -1/2 binary64)) (cbrt.f64 y)) (/.f64 (/.f64 x y) (cbrt.f64 (sqrt.f64 y))))
(*.f64 (*.f64 (/.f64 x (pow.f64 y #s(literal 3/2 binary64))) (cbrt.f64 (/.f64 #s(literal 1 binary64) y))) (cbrt.f64 (pow.f64 y #s(literal -1/2 binary64))))
(*.f64 (*.f64 (/.f64 x (pow.f64 y #s(literal 3/2 binary64))) (pow.f64 (sqrt.f64 y) #s(literal -1/2 binary64))) (pow.f64 (sqrt.f64 y) #s(literal -1/2 binary64)))
(*.f64 (*.f64 (pow.f64 y #s(literal -1/2 binary64)) (pow.f64 (/.f64 (cbrt.f64 x) (sqrt.f64 y)) #s(literal 2 binary64))) (/.f64 (cbrt.f64 x) (sqrt.f64 y)))
(*.f64 (*.f64 (pow.f64 y #s(literal -1/2 binary64)) (sqrt.f64 (/.f64 x (pow.f64 y #s(literal 3/2 binary64))))) (sqrt.f64 (/.f64 x (pow.f64 y #s(literal 3/2 binary64)))))
(*.f64 (*.f64 (pow.f64 y #s(literal -2 binary64)) #s(literal 1 binary64)) x)
(*.f64 (*.f64 (pow.f64 y #s(literal -2 binary64)) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 x))
(*.f64 (*.f64 (pow.f64 y #s(literal -2 binary64)) (sqrt.f64 x)) (sqrt.f64 x))
(*.f64 (/.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 y #s(literal 2 binary64)))) (neg.f64 x))
(pow.f64 (/.f64 (pow.f64 y #s(literal 2 binary64)) x) #s(literal -1 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 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (/.f64 y (sqrt.f64 x))) #s(literal 2 binary64))
(neg.f64 (/.f64 (/.f64 x (pow.f64 y #s(literal 3/2 binary64))) (neg.f64 (sqrt.f64 y))))
(neg.f64 (/.f64 (/.f64 x (neg.f64 (pow.f64 y #s(literal 3/2 binary64)))) (sqrt.f64 y)))
(neg.f64 (/.f64 #s(literal -1 binary64) (/.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 (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 x (pow.f64 y #s(literal 3/2 binary64))) #s(literal 3 binary64)) (pow.f64 (pow.f64 y #s(literal -1/2 binary64)) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (pow.f64 y #s(literal -1/2 binary64)) #s(literal 3 binary64)) (pow.f64 (/.f64 x (pow.f64 y #s(literal 3/2 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 (/.f64 x y) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))
(cbrt.f64 (/.f64 (pow.f64 (/.f64 x (pow.f64 y #s(literal 3/2 binary64))) #s(literal 3 binary64)) (pow.f64 y #s(literal 3/2 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)))
(exp.f64 (*.f64 (log.f64 (/.f64 (pow.f64 y #s(literal 2 binary64)) x)) #s(literal -1 binary64)))
(+.f64 #s(literal 0 binary64) (/.f64 x y))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (/.f64 x y))) (cbrt.f64 (exp.f64 (/.f64 x y))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 x y)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 x y)))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 x y)))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 x y))) #s(literal 1 binary64))
(*.f64 x (/.f64 #s(literal 1 binary64) y))
(*.f64 (/.f64 x y) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 x y))
(*.f64 (pow.f64 y #s(literal -1/2 binary64)) (/.f64 x (sqrt.f64 y)))
(*.f64 (cbrt.f64 (/.f64 x y)) (pow.f64 (cbrt.f64 (/.f64 x y)) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 x y)) #s(literal 2 binary64)) (cbrt.f64 (/.f64 x y)))
(*.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (/.f64 (cbrt.f64 x) y))
(*.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (*.f64 (cbrt.f64 x) (/.f64 #s(literal 1 binary64) y)))
(*.f64 (sqrt.f64 (/.f64 x y)) (sqrt.f64 (/.f64 x y)))
(*.f64 (sqrt.f64 x) (/.f64 (sqrt.f64 x) y))
(*.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (/.f64 #s(literal 1 binary64) y)))
(*.f64 (neg.f64 x) (/.f64 #s(literal 1 binary64) (neg.f64 y)))
(*.f64 (/.f64 #s(literal 1 binary64) y) x)
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (cbrt.f64 x) 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 #s(literal 1 binary64) (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)) (sqrt.f64 y)) (/.f64 (cbrt.f64 x) (sqrt.f64 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)))
(pow.f64 (/.f64 x y) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (/.f64 x y)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (/.f64 x y) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (/.f64 x y)) #s(literal 2 binary64))
(pow.f64 (/.f64 y x) #s(literal -1 binary64))
(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))))
(log.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (exp.f64 (/.f64 x y)))))
(log.f64 (/.f64 #s(literal 1 binary64) (exp.f64 (/.f64 x (neg.f64 y)))))
(cbrt.f64 (pow.f64 (/.f64 x y) #s(literal 3 binary64)))
(cbrt.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (/.f64 x y)))
(log1p.f64 (expm1.f64 (/.f64 x y)))
(exp.f64 (log.f64 (/.f64 x y)))
(exp.f64 (*.f64 (log.f64 (/.f64 x y)) #s(literal 1 binary64)))

simplify194.0ms (3.5%)

Algorithm
egg-herbie
Rules
390×distribute-lft-neg-in
327×associate-*r*
311×associate-*r/
301×associate-*l*
288×associate-*l/
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
064114489
1138113983
2524813915
Stop Event
node limit
Counts
532 → 391
Calls
Call 1
Inputs
(*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))))
(*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))))
(*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))))
(*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))))
(*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))))
(*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))))
(*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))))
(*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))))
(*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))))
(*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))))
(*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))))
(*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))))
(*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))))
(*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))))
(*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))))
(*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))))
(*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))))
(*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))))
(*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))))
(*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))))
(*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))))
(*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))))
(*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))))
(*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))))
(sqrt.f64 (/.f64 #s(literal 1 binary64) y))
(sqrt.f64 (/.f64 #s(literal 1 binary64) y))
(sqrt.f64 (/.f64 #s(literal 1 binary64) y))
(sqrt.f64 (/.f64 #s(literal 1 binary64) y))
(sqrt.f64 (/.f64 #s(literal 1 binary64) y))
(sqrt.f64 (/.f64 #s(literal 1 binary64) y))
(sqrt.f64 (/.f64 #s(literal 1 binary64) y))
(sqrt.f64 (/.f64 #s(literal 1 binary64) y))
(sqrt.f64 (/.f64 #s(literal 1 binary64) y))
(sqrt.f64 (/.f64 #s(literal 1 binary64) y))
(sqrt.f64 (/.f64 #s(literal 1 binary64) y))
(sqrt.f64 (/.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 x (pow.f64 y #s(literal 2 binary64)))
(/.f64 x (pow.f64 y #s(literal 2 binary64)))
(/.f64 x (pow.f64 y #s(literal 2 binary64)))
(/.f64 x (pow.f64 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 x (*.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))
(*.f64 #s(literal -1 binary64) (/.f64 x (*.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))
(*.f64 #s(literal -1 binary64) (/.f64 x (*.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))
(*.f64 #s(literal -1 binary64) (/.f64 x (*.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))
(/.f64 x (pow.f64 y #s(literal 2 binary64)))
(/.f64 x (pow.f64 y #s(literal 2 binary64)))
(/.f64 x (pow.f64 y #s(literal 2 binary64)))
(/.f64 x (pow.f64 y #s(literal 2 binary64)))
(/.f64 x (pow.f64 y #s(literal 2 binary64)))
(/.f64 x (pow.f64 y #s(literal 2 binary64)))
(/.f64 x (pow.f64 y #s(literal 2 binary64)))
(/.f64 x (pow.f64 y #s(literal 2 binary64)))
(/.f64 x (pow.f64 y #s(literal 2 binary64)))
(/.f64 x (pow.f64 y #s(literal 2 binary64)))
(/.f64 x (pow.f64 y #s(literal 2 binary64)))
(/.f64 x (pow.f64 y #s(literal 2 binary64)))
(/.f64 x (pow.f64 y #s(literal 2 binary64)))
(/.f64 x (pow.f64 y #s(literal 2 binary64)))
(/.f64 x (pow.f64 y #s(literal 2 binary64)))
(/.f64 x (pow.f64 y #s(literal 2 binary64)))
(/.f64 x (pow.f64 y #s(literal 2 binary64)))
(/.f64 x (pow.f64 y #s(literal 2 binary64)))
(/.f64 x (pow.f64 y #s(literal 2 binary64)))
(/.f64 x (pow.f64 y #s(literal 2 binary64)))
(/.f64 x (pow.f64 y #s(literal 2 binary64)))
(/.f64 x (pow.f64 y #s(literal 2 binary64)))
(/.f64 x (pow.f64 y #s(literal 2 binary64)))
(/.f64 x (pow.f64 y #s(literal 2 binary64)))
(/.f64 x (pow.f64 y #s(literal 2 binary64)))
(/.f64 x (pow.f64 y #s(literal 2 binary64)))
(/.f64 x (pow.f64 y #s(literal 2 binary64)))
(/.f64 x (pow.f64 y #s(literal 2 binary64)))
(/.f64 x (pow.f64 y #s(literal 2 binary64)))
(/.f64 x (pow.f64 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 x (*.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))
(*.f64 #s(literal -1 binary64) (/.f64 x (*.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))
(*.f64 #s(literal -1 binary64) (/.f64 x (*.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))
(*.f64 #s(literal -1 binary64) (/.f64 x (*.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))
(/.f64 x (pow.f64 y #s(literal 2 binary64)))
(/.f64 x (pow.f64 y #s(literal 2 binary64)))
(/.f64 x (pow.f64 y #s(literal 2 binary64)))
(/.f64 x (pow.f64 y #s(literal 2 binary64)))
(/.f64 x (pow.f64 y #s(literal 2 binary64)))
(/.f64 x (pow.f64 y #s(literal 2 binary64)))
(/.f64 x (pow.f64 y #s(literal 2 binary64)))
(/.f64 x (pow.f64 y #s(literal 2 binary64)))
(/.f64 x (pow.f64 y #s(literal 2 binary64)))
(/.f64 x (pow.f64 y #s(literal 2 binary64)))
(/.f64 x (pow.f64 y #s(literal 2 binary64)))
(/.f64 x (pow.f64 y #s(literal 2 binary64)))
(/.f64 x (pow.f64 y #s(literal 2 binary64)))
(/.f64 x (pow.f64 y #s(literal 2 binary64)))
(/.f64 x (pow.f64 y #s(literal 2 binary64)))
(/.f64 x (pow.f64 y #s(literal 2 binary64)))
(/.f64 x (pow.f64 y #s(literal 2 binary64)))
(/.f64 x (pow.f64 y #s(literal 2 binary64)))
(/.f64 x (pow.f64 y #s(literal 2 binary64)))
(/.f64 x (pow.f64 y #s(literal 2 binary64)))
(/.f64 x (pow.f64 y #s(literal 2 binary64)))
(/.f64 x (pow.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 (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 (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 (pow.f64 y #s(literal 3/2 binary64)))) (/.f64 (sqrt.f64 (/.f64 x (pow.f64 y #s(literal 3/2 binary64)))) (sqrt.f64 y)))
(*.f64 (sqrt.f64 (/.f64 x (pow.f64 y #s(literal 3/2 binary64)))) (*.f64 (sqrt.f64 (/.f64 x (pow.f64 y #s(literal 3/2 binary64)))) (pow.f64 y #s(literal -1/2 binary64))))
(*.f64 (sqrt.f64 (/.f64 x y)) (/.f64 (sqrt.f64 (/.f64 x y)) y))
(*.f64 (pow.f64 (sqrt.f64 y) #s(literal -1/2 binary64)) (/.f64 (/.f64 x (pow.f64 y #s(literal 3/2 binary64))) (pow.f64 y #s(literal 1/4 binary64))))
(*.f64 (pow.f64 (sqrt.f64 y) #s(literal -1/2 binary64)) (*.f64 (pow.f64 (sqrt.f64 y) #s(literal -1/2 binary64)) (/.f64 x (pow.f64 y #s(literal 3/2 binary64)))))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 y (sqrt.f64 x))) (/.f64 #s(literal 1 binary64) (/.f64 y (sqrt.f64 x))))
(*.f64 (sqrt.f64 x) (/.f64 (sqrt.f64 x) (pow.f64 y #s(literal 2 binary64))))
(*.f64 (/.f64 x (neg.f64 (pow.f64 y #s(literal 3/2 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (sqrt.f64 y))))
(*.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 x y))
(*.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 (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 (pow.f64 (/.f64 y (sqrt.f64 x)) #s(literal -1 binary64)) (pow.f64 (/.f64 y (sqrt.f64 x)) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 (pow.f64 y #s(literal 4 binary64)))) (/.f64 x (pow.f64 (cbrt.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 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)) (cbrt.f64 (pow.f64 y #s(literal 4 binary64)))) (/.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))))
(*.f64 (/.f64 (sqrt.f64 x) y) (/.f64 (sqrt.f64 x) y))
(*.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) (cbrt.f64 (pow.f64 y #s(literal 4 binary64)))) (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))))
(*.f64 (/.f64 x (sqrt.f64 y)) (pow.f64 (pow.f64 y #s(literal -1/2 binary64)) #s(literal 3 binary64)))
(*.f64 (/.f64 x #s(literal 1 binary64)) (pow.f64 y #s(literal -2 binary64)))
(*.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) (cbrt.f64 y)) (/.f64 (pow.f64 y #s(literal -1/2 binary64)) (cbrt.f64 (sqrt.f64 y))))
(*.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 (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 (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 y #s(literal 1/4 binary64))) (/.f64 (pow.f64 y #s(literal -1/2 binary64)) (pow.f64 y #s(literal 1/4 binary64))))
(*.f64 (/.f64 (pow.f64 y #s(literal -1/2 binary64)) (pow.f64 y #s(literal 1/4 binary64))) (/.f64 (/.f64 x y) (pow.f64 y #s(literal 1/4 binary64))))
(*.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 y)) (/.f64 (/.f64 x (pow.f64 y #s(literal 3/2 binary64))) (cbrt.f64 (sqrt.f64 y))))
(*.f64 (/.f64 (pow.f64 (/.f64 (cbrt.f64 x) (sqrt.f64 y)) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (/.f64 (cbrt.f64 x) (sqrt.f64 y)) (sqrt.f64 y)))
(*.f64 (/.f64 (pow.f64 (/.f64 (cbrt.f64 x) (sqrt.f64 y)) #s(literal 2 binary64)) (cbrt.f64 y)) (cbrt.f64 (*.f64 x (pow.f64 y #s(literal -2 binary64)))))
(*.f64 (/.f64 (pow.f64 (/.f64 (cbrt.f64 x) (sqrt.f64 y)) #s(literal 2 binary64)) (pow.f64 y #s(literal 1/4 binary64))) (/.f64 (/.f64 (cbrt.f64 x) (sqrt.f64 y)) (pow.f64 y #s(literal 1/4 binary64))))
(*.f64 (/.f64 (sqrt.f64 (/.f64 x (pow.f64 y #s(literal 3/2 binary64)))) #s(literal 1 binary64)) (/.f64 (sqrt.f64 (/.f64 x (pow.f64 y #s(literal 3/2 binary64)))) (sqrt.f64 y)))
(*.f64 (/.f64 (sqrt.f64 (/.f64 x (pow.f64 y #s(literal 3/2 binary64)))) (cbrt.f64 y)) (/.f64 (sqrt.f64 (/.f64 x (pow.f64 y #s(literal 3/2 binary64)))) (cbrt.f64 (sqrt.f64 y))))
(*.f64 (/.f64 (pow.f64 y #s(literal -1/2 binary64)) #s(literal 1 binary64)) (/.f64 x (pow.f64 y #s(literal 3/2 binary64))))
(*.f64 (/.f64 (pow.f64 y #s(literal -1/2 binary64)) (cbrt.f64 y)) (/.f64 (/.f64 x y) (cbrt.f64 (sqrt.f64 y))))
(*.f64 (*.f64 (/.f64 x (pow.f64 y #s(literal 3/2 binary64))) (cbrt.f64 (/.f64 #s(literal 1 binary64) y))) (cbrt.f64 (pow.f64 y #s(literal -1/2 binary64))))
(*.f64 (*.f64 (/.f64 x (pow.f64 y #s(literal 3/2 binary64))) (pow.f64 (sqrt.f64 y) #s(literal -1/2 binary64))) (pow.f64 (sqrt.f64 y) #s(literal -1/2 binary64)))
(*.f64 (*.f64 (pow.f64 y #s(literal -1/2 binary64)) (pow.f64 (/.f64 (cbrt.f64 x) (sqrt.f64 y)) #s(literal 2 binary64))) (/.f64 (cbrt.f64 x) (sqrt.f64 y)))
(*.f64 (*.f64 (pow.f64 y #s(literal -1/2 binary64)) (sqrt.f64 (/.f64 x (pow.f64 y #s(literal 3/2 binary64))))) (sqrt.f64 (/.f64 x (pow.f64 y #s(literal 3/2 binary64)))))
(*.f64 (*.f64 (pow.f64 y #s(literal -2 binary64)) #s(literal 1 binary64)) x)
(*.f64 (*.f64 (pow.f64 y #s(literal -2 binary64)) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 x))
(*.f64 (*.f64 (pow.f64 y #s(literal -2 binary64)) (sqrt.f64 x)) (sqrt.f64 x))
(*.f64 (/.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 y #s(literal 2 binary64)))) (neg.f64 x))
(pow.f64 (/.f64 (pow.f64 y #s(literal 2 binary64)) x) #s(literal -1 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 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (/.f64 y (sqrt.f64 x))) #s(literal 2 binary64))
(neg.f64 (/.f64 (/.f64 x (pow.f64 y #s(literal 3/2 binary64))) (neg.f64 (sqrt.f64 y))))
(neg.f64 (/.f64 (/.f64 x (neg.f64 (pow.f64 y #s(literal 3/2 binary64)))) (sqrt.f64 y)))
(neg.f64 (/.f64 #s(literal -1 binary64) (/.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 (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 x (pow.f64 y #s(literal 3/2 binary64))) #s(literal 3 binary64)) (pow.f64 (pow.f64 y #s(literal -1/2 binary64)) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (pow.f64 y #s(literal -1/2 binary64)) #s(literal 3 binary64)) (pow.f64 (/.f64 x (pow.f64 y #s(literal 3/2 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 (/.f64 x y) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))
(cbrt.f64 (/.f64 (pow.f64 (/.f64 x (pow.f64 y #s(literal 3/2 binary64))) #s(literal 3 binary64)) (pow.f64 y #s(literal 3/2 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)))
(exp.f64 (*.f64 (log.f64 (/.f64 (pow.f64 y #s(literal 2 binary64)) x)) #s(literal -1 binary64)))
(+.f64 #s(literal 0 binary64) (/.f64 x y))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (/.f64 x y))) (cbrt.f64 (exp.f64 (/.f64 x y))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 x y)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 x y)))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 x y)))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 x y))) #s(literal 1 binary64))
(*.f64 x (/.f64 #s(literal 1 binary64) y))
(*.f64 (/.f64 x y) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 x y))
(*.f64 (pow.f64 y #s(literal -1/2 binary64)) (/.f64 x (sqrt.f64 y)))
(*.f64 (cbrt.f64 (/.f64 x y)) (pow.f64 (cbrt.f64 (/.f64 x y)) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 x y)) #s(literal 2 binary64)) (cbrt.f64 (/.f64 x y)))
(*.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (/.f64 (cbrt.f64 x) y))
(*.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (*.f64 (cbrt.f64 x) (/.f64 #s(literal 1 binary64) y)))
(*.f64 (sqrt.f64 (/.f64 x y)) (sqrt.f64 (/.f64 x y)))
(*.f64 (sqrt.f64 x) (/.f64 (sqrt.f64 x) y))
(*.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (/.f64 #s(literal 1 binary64) y)))
(*.f64 (neg.f64 x) (/.f64 #s(literal 1 binary64) (neg.f64 y)))
(*.f64 (/.f64 #s(literal 1 binary64) y) x)
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (cbrt.f64 x) 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 #s(literal 1 binary64) (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)) (sqrt.f64 y)) (/.f64 (cbrt.f64 x) (sqrt.f64 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)))
(pow.f64 (/.f64 x y) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (/.f64 x y)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (/.f64 x y) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (/.f64 x y)) #s(literal 2 binary64))
(pow.f64 (/.f64 y x) #s(literal -1 binary64))
(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))))
(log.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (exp.f64 (/.f64 x y)))))
(log.f64 (/.f64 #s(literal 1 binary64) (exp.f64 (/.f64 x (neg.f64 y)))))
(cbrt.f64 (pow.f64 (/.f64 x y) #s(literal 3 binary64)))
(cbrt.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (/.f64 x y)))
(log1p.f64 (expm1.f64 (/.f64 x y)))
(exp.f64 (log.f64 (/.f64 x y)))
(exp.f64 (*.f64 (log.f64 (/.f64 x y)) #s(literal 1 binary64)))
Outputs
(*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))))
(*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))))
(*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))))
(*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))))
(*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))))
(*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))))
(*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))))
(*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))))
(*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))))
(*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))))
(*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))))
(*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))))
(*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))))
(*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))))
(*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))))
(*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))))
(*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))))
(*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))))
(*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))))
(*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))))
(*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))))
(*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))))
(*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))))
(*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))))
(sqrt.f64 (/.f64 #s(literal 1 binary64) y))
(sqrt.f64 (/.f64 #s(literal 1 binary64) y))
(sqrt.f64 (/.f64 #s(literal 1 binary64) y))
(sqrt.f64 (/.f64 #s(literal 1 binary64) y))
(sqrt.f64 (/.f64 #s(literal 1 binary64) y))
(sqrt.f64 (/.f64 #s(literal 1 binary64) y))
(sqrt.f64 (/.f64 #s(literal 1 binary64) y))
(sqrt.f64 (/.f64 #s(literal 1 binary64) y))
(sqrt.f64 (/.f64 #s(literal 1 binary64) y))
(sqrt.f64 (/.f64 #s(literal 1 binary64) y))
(sqrt.f64 (/.f64 #s(literal 1 binary64) y))
(sqrt.f64 (/.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 x (pow.f64 y #s(literal 2 binary64)))
(/.f64 x (pow.f64 y #s(literal 2 binary64)))
(/.f64 x (pow.f64 y #s(literal 2 binary64)))
(/.f64 x (pow.f64 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 x (*.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))
(/.f64 x (pow.f64 y #s(literal 2 binary64)))
(*.f64 #s(literal -1 binary64) (/.f64 x (*.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))
(/.f64 x (pow.f64 y #s(literal 2 binary64)))
(*.f64 #s(literal -1 binary64) (/.f64 x (*.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))
(/.f64 x (pow.f64 y #s(literal 2 binary64)))
(*.f64 #s(literal -1 binary64) (/.f64 x (*.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))
(/.f64 x (pow.f64 y #s(literal 2 binary64)))
(/.f64 x (pow.f64 y #s(literal 2 binary64)))
(/.f64 x (pow.f64 y #s(literal 2 binary64)))
(/.f64 x (pow.f64 y #s(literal 2 binary64)))
(/.f64 x (pow.f64 y #s(literal 2 binary64)))
(/.f64 x (pow.f64 y #s(literal 2 binary64)))
(/.f64 x (pow.f64 y #s(literal 2 binary64)))
(/.f64 x (pow.f64 y #s(literal 2 binary64)))
(/.f64 x (pow.f64 y #s(literal 2 binary64)))
(/.f64 x (pow.f64 y #s(literal 2 binary64)))
(/.f64 x (pow.f64 y #s(literal 2 binary64)))
(/.f64 x (pow.f64 y #s(literal 2 binary64)))
(/.f64 x (pow.f64 y #s(literal 2 binary64)))
(/.f64 x (pow.f64 y #s(literal 2 binary64)))
(/.f64 x (pow.f64 y #s(literal 2 binary64)))
(/.f64 x (pow.f64 y #s(literal 2 binary64)))
(/.f64 x (pow.f64 y #s(literal 2 binary64)))
(/.f64 x (pow.f64 y #s(literal 2 binary64)))
(/.f64 x (pow.f64 y #s(literal 2 binary64)))
(/.f64 x (pow.f64 y #s(literal 2 binary64)))
(/.f64 x (pow.f64 y #s(literal 2 binary64)))
(/.f64 x (pow.f64 y #s(literal 2 binary64)))
(/.f64 x (pow.f64 y #s(literal 2 binary64)))
(/.f64 x (pow.f64 y #s(literal 2 binary64)))
(/.f64 x (pow.f64 y #s(literal 2 binary64)))
(/.f64 x (pow.f64 y #s(literal 2 binary64)))
(/.f64 x (pow.f64 y #s(literal 2 binary64)))
(/.f64 x (pow.f64 y #s(literal 2 binary64)))
(/.f64 x (pow.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 (cbrt.f64 (/.f64 x y)) (pow.f64 (cbrt.f64 (/.f64 x y)) #s(literal 2 binary64)))
(/.f64 x y)
(*.f64 (pow.f64 (cbrt.f64 (/.f64 x y)) #s(literal 2 binary64)) (cbrt.f64 (/.f64 x y)))
(/.f64 x y)
(*.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (/.f64 (cbrt.f64 x) y))
(/.f64 x y)
(*.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (*.f64 (cbrt.f64 x) (/.f64 #s(literal 1 binary64) y)))
(/.f64 x y)
(*.f64 (sqrt.f64 (/.f64 x y)) (sqrt.f64 (/.f64 x y)))
(/.f64 x y)
(*.f64 (sqrt.f64 x) (/.f64 (sqrt.f64 x) y))
(/.f64 x y)
(*.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (/.f64 #s(literal 1 binary64) y)))
(/.f64 x y)
(*.f64 (neg.f64 x) (/.f64 #s(literal 1 binary64) (neg.f64 y)))
(/.f64 x y)
(*.f64 (/.f64 #s(literal 1 binary64) y) x)
(/.f64 x y)
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (cbrt.f64 x) y))
(/.f64 x y)
(*.f64 (/.f64 (sqrt.f64 x) #s(literal 1 binary64)) (/.f64 (sqrt.f64 x) y))
(/.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 x (cbrt.f64 y)) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (/.f64 x (cbrt.f64 y)))
(*.f64 (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (/.f64 (sqrt.f64 x) (cbrt.f64 y)))
(/.f64 (/.f64 x (cbrt.f64 y)) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (sqrt.f64 y)) (/.f64 (cbrt.f64 x) (sqrt.f64 y)))
(/.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 (cbrt.f64 (/.f64 x y)) (/.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))))
(*.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (/.f64 (cbrt.f64 (/.f64 x y)) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))))
(pow.f64 (/.f64 x y) #s(literal 1 binary64))
(/.f64 x y)
(pow.f64 (cbrt.f64 (/.f64 x y)) #s(literal 3 binary64))
(/.f64 x y)
(pow.f64 (pow.f64 (/.f64 x y) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(/.f64 x y)
(pow.f64 (sqrt.f64 (/.f64 x y)) #s(literal 2 binary64))
(/.f64 x y)
(pow.f64 (/.f64 y x) #s(literal -1 binary64))
(/.f64 x y)
(neg.f64 (/.f64 x (neg.f64 y)))
(/.f64 x y)
(sqrt.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)))
(/.f64 x y)
(log.f64 (exp.f64 (/.f64 x y)))
(/.f64 x y)
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 x y))))
(/.f64 x y)
(log.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (exp.f64 (/.f64 x y)))))
(/.f64 x y)
(log.f64 (/.f64 #s(literal 1 binary64) (exp.f64 (/.f64 x (neg.f64 y)))))
(/.f64 x y)
(cbrt.f64 (pow.f64 (/.f64 x y) #s(literal 3 binary64)))
(/.f64 x y)
(cbrt.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))
(/.f64 x y)
(expm1.f64 (log1p.f64 (/.f64 x y)))
(log1p.f64 (expm1.f64 (/.f64 x y)))
(/.f64 x y)
(exp.f64 (log.f64 (/.f64 x y)))
(/.f64 x y)
(exp.f64 (*.f64 (log.f64 (/.f64 x y)) #s(literal 1 binary64)))
(/.f64 x y)

eval206.0ms (3.7%)

Compiler

Compiled 7545 to 3840 computations (49.1% saved)

prune150.0ms (2.7%)

Pruning

9 alts after pruning (4 fresh and 5 done)

PrunedKeptTotal
New5553558
Fresh314
Picked235
Done022
Total5609569
Accuracy
100.0%
Counts
569 → 9
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.5%
(pow.f64 (/.f64 (sqrt.f64 x) y) #s(literal 2 binary64))
98.9%
(/.f64 (pow.f64 (cbrt.f64 (/.f64 x y)) #s(literal 3 binary64)) y)
88.0%
(/.f64 (pow.f64 y #s(literal -2 binary64)) (/.f64 #s(literal 1 binary64) x))
99.5%
(/.f64 (/.f64 (/.f64 x y) (sqrt.f64 y)) (sqrt.f64 y))
99.8%
(/.f64 (/.f64 x y) y)
99.7%
(/.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 y x))
88.6%
(/.f64 x (*.f64 y y))
99.7%
(/.f64 #s(literal 1 binary64) (*.f64 y (/.f64 y x)))
88.1%
(*.f64 (pow.f64 y #s(literal -2 binary64)) x)
Compiler

Compiled 77 to 51 computations (33.8% saved)

localize125.0ms (2.2%)

Algorithm
egg-herbie
Localize:

Found 8 expressions of interest:

NewMetricScoreProgram
cost-diff128
(/.f64 (pow.f64 y #s(literal -2 binary64)) (/.f64 #s(literal 1 binary64) x))
cost-diff128
(/.f64 #s(literal 1 binary64) (*.f64 y (/.f64 y x)))
cost-diff12864
(pow.f64 (cbrt.f64 (/.f64 x y)) #s(literal 3 binary64))
cost-diff12864
(/.f64 (pow.f64 (cbrt.f64 (/.f64 x y)) #s(literal 3 binary64)) y)
accuracy99.2%
(pow.f64 (cbrt.f64 (/.f64 x y)) #s(literal 3 binary64))
accuracy88.1%
(*.f64 (pow.f64 y #s(literal -2 binary64)) x)
accuracy88.0%
(/.f64 (pow.f64 y #s(literal -2 binary64)) (/.f64 #s(literal 1 binary64) x))
accuracy79.0%
(cbrt.f64 (/.f64 x y))
Rules
32×times-frac
21×associate-*r*
19×associate-*l*
18×*-commutative
13×associate-/l*
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
022239
139239
251239
367227
476227
5130227
6182227
7213227
8219227
Stop Event
saturated
Calls
Call 1
Inputs
(*.f64 (pow.f64 y #s(literal -2 binary64)) x)
(pow.f64 y #s(literal -2 binary64))
y
#s(literal -2 binary64)
x
(/.f64 #s(literal 1 binary64) (*.f64 y (/.f64 y x)))
#s(literal 1 binary64)
(*.f64 y (/.f64 y x))
y
(/.f64 y x)
x
(/.f64 (pow.f64 y #s(literal -2 binary64)) (/.f64 #s(literal 1 binary64) x))
(pow.f64 y #s(literal -2 binary64))
y
#s(literal -2 binary64)
(/.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
x
(/.f64 (pow.f64 (cbrt.f64 (/.f64 x y)) #s(literal 3 binary64)) y)
(pow.f64 (cbrt.f64 (/.f64 x y)) #s(literal 3 binary64))
(cbrt.f64 (/.f64 x y))
(/.f64 x y)
x
y
#s(literal 3 binary64)
Outputs
(*.f64 (pow.f64 y #s(literal -2 binary64)) x)
(pow.f64 y #s(literal -2 binary64))
y
#s(literal -2 binary64)
x
(/.f64 #s(literal 1 binary64) (*.f64 y (/.f64 y x)))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 y y) x))
(*.f64 x (/.f64 (/.f64 #s(literal 1 binary64) y) y))
(/.f64 x (*.f64 y y))
#s(literal 1 binary64)
(*.f64 y (/.f64 y x))
(/.f64 (*.f64 y y) x)
y
(/.f64 y x)
x
(/.f64 (pow.f64 y #s(literal -2 binary64)) (/.f64 #s(literal 1 binary64) x))
(*.f64 (pow.f64 y #s(literal -2 binary64)) x)
(pow.f64 y #s(literal -2 binary64))
y
#s(literal -2 binary64)
(/.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
x
(/.f64 (pow.f64 (cbrt.f64 (/.f64 x y)) #s(literal 3 binary64)) y)
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 y y) x))
(*.f64 x (/.f64 (/.f64 #s(literal 1 binary64) y) y))
(/.f64 x (*.f64 y y))
(pow.f64 (cbrt.f64 (/.f64 x y)) #s(literal 3 binary64))
(/.f64 x y)
(cbrt.f64 (/.f64 x y))
(/.f64 x y)
x
y
#s(literal 3 binary64)
Results
82.0ms256×0valid
Compiler

Compiled 73 to 33 computations (54.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 56.0ms
ival-pow: 27.0ms (48.6% of total)
ival-div: 19.0ms (34.2% of total)
ival-mult: 5.0ms (9% of total)
const: 2.0ms (3.6% of total)
ival-cbrt: 2.0ms (3.6% of total)
backward-pass: 0.0ms (0% of total)

series21.0ms (0.4%)

Counts
6 → 128
Calls
Call 1
Inputs
#<alt (cbrt.f64 (/.f64 x y))>
#<alt (/.f64 (pow.f64 y #s(literal -2 binary64)) (/.f64 #s(literal 1 binary64) x))>
#<alt (*.f64 (pow.f64 y #s(literal -2 binary64)) x)>
#<alt (pow.f64 (cbrt.f64 (/.f64 x y)) #s(literal 3 binary64))>
#<alt (/.f64 (pow.f64 (cbrt.f64 (/.f64 x y)) #s(literal 3 binary64)) y)>
#<alt (/.f64 #s(literal 1 binary64) (*.f64 y (/.f64 y x)))>
Outputs
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (cbrt.f64 (/.f64 x y)) (cbrt.f64 #s(literal -1 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (cbrt.f64 (/.f64 x y)) (cbrt.f64 #s(literal -1 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (cbrt.f64 (/.f64 x y)) (cbrt.f64 #s(literal -1 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (cbrt.f64 (/.f64 x y)) (cbrt.f64 #s(literal -1 binary64))))>
#<alt (*.f64 (cbrt.f64 (/.f64 x y)) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))>
#<alt (*.f64 (cbrt.f64 (/.f64 x y)) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))>
#<alt (*.f64 (cbrt.f64 (/.f64 x y)) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))>
#<alt (*.f64 (cbrt.f64 (/.f64 x y)) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #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 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 #s(literal -1 binary64) (/.f64 (*.f64 x (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64))) y))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64))) y))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64))) y))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 3 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 (cbrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64))) y))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64))) y))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64))) y))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 3 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 (cbrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64))) (pow.f64 y #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64))) (pow.f64 y #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64))) (pow.f64 y #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 3 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 (cbrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64))) (pow.f64 y #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64))) (pow.f64 y #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64))) (pow.f64 y #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 3 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)))>
Calls

36 calls:

TimeVariablePointExpression
5.0ms
y
@0
(cbrt (/ x y))
2.0ms
y
@-inf
(cbrt (/ x y))
2.0ms
x
@inf
(cbrt (/ x y))
2.0ms
y
@inf
(cbrt (/ x y))
2.0ms
x
@0
(cbrt (/ x y))

rewrite151.0ms (2.7%)

Algorithm
batch-egg-rewrite
Rules
705×log1p-expm1-u
705×expm1-log1p-u
653×log-prod
174×expm1-undefine
174×log1p-undefine
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
022130
1312106
23944106
Stop Event
node limit
Counts
6 → 374
Calls
Call 1
Inputs
(cbrt.f64 (/.f64 x y))
(/.f64 (pow.f64 y #s(literal -2 binary64)) (/.f64 #s(literal 1 binary64) x))
(*.f64 (pow.f64 y #s(literal -2 binary64)) x)
(pow.f64 (cbrt.f64 (/.f64 x y)) #s(literal 3 binary64))
(/.f64 (pow.f64 (cbrt.f64 (/.f64 x y)) #s(literal 3 binary64)) y)
(/.f64 #s(literal 1 binary64) (*.f64 y (/.f64 y x)))
Outputs
(+.f64 #s(literal 0 binary64) (cbrt.f64 (/.f64 x y)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (cbrt.f64 (/.f64 x y)))) (cbrt.f64 (exp.f64 (cbrt.f64 (/.f64 x y)))))) (log.f64 (cbrt.f64 (exp.f64 (cbrt.f64 (/.f64 x y))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (cbrt.f64 (/.f64 x y))))) (log.f64 (sqrt.f64 (exp.f64 (cbrt.f64 (/.f64 x y))))))
(-.f64 (exp.f64 (log1p.f64 (cbrt.f64 (/.f64 x y)))) #s(literal 1 binary64))
(*.f64 (cbrt.f64 (/.f64 x y)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (cbrt.f64 (/.f64 x y)))
(*.f64 (cbrt.f64 x) (pow.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1/3 binary64)))
(*.f64 (cbrt.f64 x) (cbrt.f64 (/.f64 #s(literal 1 binary64) y)))
(*.f64 (cbrt.f64 x) (/.f64 #s(literal 1 binary64) (cbrt.f64 y)))
(*.f64 (cbrt.f64 (cbrt.f64 (/.f64 x y))) (pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 x y))) #s(literal 2 binary64)))
(*.f64 (cbrt.f64 (cbrt.f64 (/.f64 x y))) (pow.f64 (pow.f64 (cbrt.f64 (/.f64 x y)) #s(literal 2 binary64)) #s(literal 1/3 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 x y))) #s(literal 2 binary64)) (cbrt.f64 (cbrt.f64 (/.f64 x y))))
(*.f64 (pow.f64 (/.f64 x y) #s(literal 1/6 binary64)) (pow.f64 (/.f64 x y) #s(literal 1/6 binary64)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (/.f64 x y)) #s(literal 2 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (cbrt.f64 (/.f64 x y))))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/3 binary64)) (cbrt.f64 (/.f64 x y)))
(*.f64 (pow.f64 (sqrt.f64 (/.f64 x y)) #s(literal 1/3 binary64)) (pow.f64 (sqrt.f64 (/.f64 x y)) #s(literal 1/3 binary64)))
(/.f64 #s(literal 1 binary64) (cbrt.f64 (/.f64 y x)))
(/.f64 (cbrt.f64 x) (cbrt.f64 y))
(/.f64 (cbrt.f64 (neg.f64 x)) (cbrt.f64 (neg.f64 y)))
(/.f64 (neg.f64 (cbrt.f64 x)) (neg.f64 (cbrt.f64 y)))
(pow.f64 (/.f64 x y) #s(literal 1/3 binary64))
(pow.f64 (cbrt.f64 (/.f64 x y)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 x y))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (/.f64 x y) #s(literal 1/6 binary64)) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 x y)) #s(literal 2 binary64)))
(log.f64 (exp.f64 (cbrt.f64 (/.f64 x y))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (cbrt.f64 (/.f64 x y)))))
(expm1.f64 (log1p.f64 (cbrt.f64 (/.f64 x y))))
(log1p.f64 (expm1.f64 (cbrt.f64 (/.f64 x y))))
(exp.f64 (log.f64 (cbrt.f64 (/.f64 x y))))
(exp.f64 (*.f64 (log.f64 (/.f64 x y)) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (/.f64 x y))) #s(literal 1 binary64)))
(+.f64 #s(literal 0 binary64) (*.f64 x (pow.f64 y #s(literal -2 binary64))))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 (pow.f64 y #s(literal -2 binary64))) x)) (cbrt.f64 (pow.f64 (exp.f64 (pow.f64 y #s(literal -2 binary64))) x)))) (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 (pow.f64 y #s(literal -2 binary64))) x))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (pow.f64 y #s(literal -2 binary64))) x))))
(-.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 x (/.f64 (/.f64 #s(literal 1 binary64) y) y))
(*.f64 (/.f64 x y) (/.f64 #s(literal 1 binary64) y))
(*.f64 (cbrt.f64 (/.f64 x y)) (/.f64 (pow.f64 (cbrt.f64 (/.f64 x y)) #s(literal 2 binary64)) y))
(*.f64 (cbrt.f64 (/.f64 x y)) (*.f64 (pow.f64 (cbrt.f64 (/.f64 x y)) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) y)))
(*.f64 (pow.f64 y #s(literal -2 binary64)) x)
(*.f64 #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 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (neg.f64 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 y #s(literal -4 binary64))) (/.f64 (cbrt.f64 (pow.f64 y #s(literal -2 binary64))) (/.f64 #s(literal 1 binary64) x)))
(*.f64 (cbrt.f64 (pow.f64 y #s(literal -4 binary64))) (*.f64 (cbrt.f64 (pow.f64 y #s(literal -2 binary64))) x))
(*.f64 (cbrt.f64 (*.f64 x (pow.f64 y #s(literal -2 binary64)))) (cbrt.f64 (*.f64 (pow.f64 y #s(literal -4 binary64)) (pow.f64 x #s(literal 2 binary64)))))
(*.f64 (cbrt.f64 (*.f64 (pow.f64 y #s(literal -4 binary64)) (pow.f64 x #s(literal 2 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 (*.f64 (sqrt.f64 x) (/.f64 #s(literal 1 binary64) y)) (*.f64 (sqrt.f64 x) (/.f64 #s(literal 1 binary64) y)))
(*.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (pow.f64 y #s(literal -2 binary64))))
(*.f64 (/.f64 x (neg.f64 y)) (/.f64 #s(literal 1 binary64) (neg.f64 y)))
(*.f64 (neg.f64 (pow.f64 y #s(literal -2 binary64))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)))
(*.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 x y))
(*.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 (cbrt.f64 (pow.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 (pow.f64 (/.f64 y (sqrt.f64 x)) #s(literal -1 binary64)) (pow.f64 (/.f64 y (sqrt.f64 x)) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 (pow.f64 x #s(literal -2 binary64)))) (/.f64 (pow.f64 y #s(literal -2 binary64)) (/.f64 #s(literal 1 binary64) (cbrt.f64 x))))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -1/2 binary64))) (/.f64 (pow.f64 y #s(literal -2 binary64)) (pow.f64 x #s(literal -1/2 binary64))))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 y #s(literal -4 binary64))) #s(literal 1 binary64)) (/.f64 (cbrt.f64 (pow.f64 y #s(literal -2 binary64))) (/.f64 #s(literal 1 binary64) x)))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 y #s(literal -4 binary64))) (cbrt.f64 (pow.f64 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 -4 binary64))) (pow.f64 x #s(literal -1/2 binary64))) (/.f64 (cbrt.f64 (pow.f64 y #s(literal -2 binary64))) (pow.f64 x #s(literal -1/2 binary64))))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1 binary64)) (/.f64 x y))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) (cbrt.f64 (pow.f64 x #s(literal -2 binary64)))) (/.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 1 binary64) (cbrt.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 #s(literal 1 binary64) (sqrt.f64 y)) (/.f64 (/.f64 x y) (sqrt.f64 y)))
(*.f64 (/.f64 x (sqrt.f64 y)) (/.f64 (/.f64 #s(literal 1 binary64) y) (sqrt.f64 y)))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) y) x)
(*.f64 (/.f64 x (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) y) (cbrt.f64 y)))
(*.f64 (/.f64 (cbrt.f64 (/.f64 x y)) #s(literal 1 binary64)) (/.f64 (pow.f64 (cbrt.f64 (/.f64 x y)) #s(literal 2 binary64)) y))
(*.f64 (/.f64 (cbrt.f64 (/.f64 x y)) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (/.f64 (pow.f64 (cbrt.f64 (/.f64 x y)) #s(literal 2 binary64)) (cbrt.f64 y)))
(*.f64 (/.f64 (cbrt.f64 (/.f64 x y)) (sqrt.f64 y)) (/.f64 (pow.f64 (cbrt.f64 (/.f64 x y)) #s(literal 2 binary64)) (sqrt.f64 y)))
(*.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 (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 (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 (pow.f64 y #s(literal -2 binary64)) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 x))
(*.f64 (*.f64 (pow.f64 y #s(literal -2 binary64)) (sqrt.f64 x)) (sqrt.f64 x))
(*.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)) #s(literal -1 binary64)) (neg.f64 x))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))) x)
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) (neg.f64 y)) (neg.f64 x))
(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) (/.f64 #s(literal 1 binary64) y)) #s(literal 2 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)) (/.f64 #s(literal -1 binary64) x)))
(neg.f64 (/.f64 (/.f64 x y) (neg.f64 y)))
(neg.f64 (/.f64 (neg.f64 (pow.f64 y #s(literal -2 binary64))) (/.f64 #s(literal 1 binary64) x)))
(neg.f64 (/.f64 (/.f64 x (neg.f64 y)) y))
(neg.f64 (/.f64 #s(literal -1 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) x)))
(sqrt.f64 (*.f64 (pow.f64 y #s(literal -4 binary64)) (pow.f64 x #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 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 (pow.f64 y #s(literal -2 binary64)) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) 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 (fma.f64 #s(literal -2 binary64) (log.f64 y) (log.f64 x)))
(exp.f64 (*.f64 (log.f64 (/.f64 (pow.f64 y #s(literal 2 binary64)) x)) #s(literal -1 binary64)))
(exp.f64 (*.f64 (fma.f64 #s(literal -2 binary64) (log.f64 y) (log.f64 x)) #s(literal 1 binary64)))
(+.f64 #s(literal 0 binary64) (*.f64 x (pow.f64 y #s(literal -2 binary64))))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 (pow.f64 y #s(literal -2 binary64))) x)) (cbrt.f64 (pow.f64 (exp.f64 (pow.f64 y #s(literal -2 binary64))) x)))) (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 (pow.f64 y #s(literal -2 binary64))) x))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (pow.f64 y #s(literal -2 binary64))) x))))
(-.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 (/.f64 x y) (neg.f64 (neg.f64 y)))
(/.f64 (pow.f64 y #s(literal -2 binary64)) (/.f64 #s(literal 1 binary64) x))
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) x))
(/.f64 #s(literal 1 binary64) (neg.f64 (/.f64 (pow.f64 y #s(literal 2 binary64)) (neg.f64 x))))
(/.f64 (*.f64 x (pow.f64 y #s(literal -2 binary64))) #s(literal 1 binary64))
(/.f64 #s(literal -1 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (neg.f64 x)))
(/.f64 (*.f64 (sqrt.f64 x) (/.f64 #s(literal 1 binary64) y)) (/.f64 y (sqrt.f64 x)))
(/.f64 (neg.f64 x) (*.f64 y (neg.f64 y)))
(/.f64 (/.f64 x (neg.f64 y)) (neg.f64 y))
(/.f64 (neg.f64 (pow.f64 y #s(literal -2 binary64))) (/.f64 #s(literal -1 binary64) x))
(/.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 y x))
(/.f64 (*.f64 (neg.f64 x) #s(literal 1 binary64)) (*.f64 (neg.f64 y) y))
(/.f64 (neg.f64 (neg.f64 (pow.f64 y #s(literal -2 binary64)))) (/.f64 #s(literal 1 binary64) x))
(/.f64 (neg.f64 (/.f64 #s(literal 1 binary64) y)) (neg.f64 (/.f64 y x)))
(/.f64 (/.f64 (pow.f64 y #s(literal -2 binary64)) (pow.f64 x #s(literal -1/2 binary64))) (pow.f64 x #s(literal -1/2 binary64)))
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1 binary64)) (/.f64 y x))
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) y) (/.f64 #s(literal 1 binary64) x))
(/.f64 (/.f64 (/.f64 x y) (sqrt.f64 y)) (sqrt.f64 y))
(/.f64 (/.f64 (/.f64 x y) #s(literal 1 binary64)) y)
(/.f64 (/.f64 (pow.f64 y #s(literal -2 binary64)) (cbrt.f64 (pow.f64 x #s(literal -2 binary64)))) (/.f64 #s(literal 1 binary64) (cbrt.f64 x)))
(/.f64 (/.f64 (/.f64 x y) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (cbrt.f64 y))
(/.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 (pow.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)))
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) (pow.f64 (cbrt.f64 (/.f64 y x)) #s(literal 2 binary64))) (cbrt.f64 (/.f64 y x)))
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) (sqrt.f64 (/.f64 y x))) (sqrt.f64 (/.f64 y x)))
(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) (/.f64 #s(literal 1 binary64) y)) #s(literal 2 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)) (/.f64 #s(literal -1 binary64) x)))
(neg.f64 (/.f64 (/.f64 x y) (neg.f64 y)))
(neg.f64 (/.f64 (neg.f64 (pow.f64 y #s(literal -2 binary64))) (/.f64 #s(literal 1 binary64) x)))
(neg.f64 (/.f64 (/.f64 x (neg.f64 y)) y))
(neg.f64 (/.f64 #s(literal -1 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) x)))
(sqrt.f64 (*.f64 (pow.f64 y #s(literal -4 binary64)) (pow.f64 x #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 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 (pow.f64 y #s(literal -2 binary64)) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) 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 (fma.f64 #s(literal -2 binary64) (log.f64 y) (log.f64 x)))
(exp.f64 (*.f64 (log.f64 (/.f64 (pow.f64 y #s(literal 2 binary64)) x)) #s(literal -1 binary64)))
(exp.f64 (*.f64 (fma.f64 #s(literal -2 binary64) (log.f64 y) (log.f64 x)) #s(literal 1 binary64)))
(+.f64 #s(literal 0 binary64) (/.f64 x y))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (/.f64 x y))) (cbrt.f64 (exp.f64 (/.f64 x y))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 x y)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 x y)))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 x y)))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 x y))) #s(literal 1 binary64))
(*.f64 x (/.f64 #s(literal 1 binary64) y))
(*.f64 (/.f64 x y) #s(literal 1 binary64))
(*.f64 (cbrt.f64 (/.f64 x y)) (pow.f64 (cbrt.f64 (/.f64 x y)) #s(literal 2 binary64)))
(*.f64 #s(literal 1 binary64) (/.f64 x y))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 x y)) #s(literal 2 binary64)) (cbrt.f64 (/.f64 x y)))
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(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) y) x)
(*.f64 (/.f64 x (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) y) (cbrt.f64 y)))
(*.f64 (/.f64 (cbrt.f64 (/.f64 x y)) #s(literal 1 binary64)) (/.f64 (pow.f64 (cbrt.f64 (/.f64 x y)) #s(literal 2 binary64)) y))
(*.f64 (/.f64 (cbrt.f64 (/.f64 x y)) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (/.f64 (pow.f64 (cbrt.f64 (/.f64 x y)) #s(literal 2 binary64)) (cbrt.f64 y)))
(*.f64 (/.f64 (cbrt.f64 (/.f64 x y)) (sqrt.f64 y)) (/.f64 (pow.f64 (cbrt.f64 (/.f64 x y)) #s(literal 2 binary64)) (sqrt.f64 y)))
(*.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 (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 (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 (pow.f64 y #s(literal -2 binary64)) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 x))
(*.f64 (*.f64 (pow.f64 y #s(literal -2 binary64)) (sqrt.f64 x)) (sqrt.f64 x))
(*.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)) #s(literal -1 binary64)) (neg.f64 x))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))) x)
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) (neg.f64 y)) (neg.f64 x))
(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) (/.f64 #s(literal 1 binary64) y)) #s(literal 2 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)) (/.f64 #s(literal -1 binary64) x)))
(neg.f64 (/.f64 (/.f64 x y) (neg.f64 y)))
(neg.f64 (/.f64 (neg.f64 (pow.f64 y #s(literal -2 binary64))) (/.f64 #s(literal 1 binary64) x)))
(neg.f64 (/.f64 (/.f64 x (neg.f64 y)) y))
(neg.f64 (/.f64 #s(literal -1 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) x)))
(sqrt.f64 (*.f64 (pow.f64 y #s(literal -4 binary64)) (pow.f64 x #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 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 (pow.f64 y #s(literal -2 binary64)) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) 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 (fma.f64 #s(literal -2 binary64) (log.f64 y) (log.f64 x)))
(exp.f64 (*.f64 (log.f64 (/.f64 (pow.f64 y #s(literal 2 binary64)) x)) #s(literal -1 binary64)))
(exp.f64 (*.f64 (fma.f64 #s(literal -2 binary64) (log.f64 y) (log.f64 x)) #s(literal 1 binary64)))

simplify156.0ms (2.8%)

Algorithm
egg-herbie
Rules
374×distribute-lft-in
310×distribute-rgt-in
301×distribute-lft-neg-out
289×distribute-rgt-neg-out
243×distribute-lft-neg-in
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
042811429
189611255
2303011171
Stop Event
node limit
Counts
502 → 223
Calls
Call 1
Inputs
(*.f64 #s(literal -1 binary64) (*.f64 (cbrt.f64 (/.f64 x y)) (cbrt.f64 #s(literal -1 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 (cbrt.f64 (/.f64 x y)) (cbrt.f64 #s(literal -1 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 (cbrt.f64 (/.f64 x y)) (cbrt.f64 #s(literal -1 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 (cbrt.f64 (/.f64 x y)) (cbrt.f64 #s(literal -1 binary64))))
(*.f64 (cbrt.f64 (/.f64 x y)) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))
(*.f64 (cbrt.f64 (/.f64 x y)) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))
(*.f64 (cbrt.f64 (/.f64 x y)) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))
(*.f64 (cbrt.f64 (/.f64 x y)) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))
(/.f64 x (pow.f64 y #s(literal 2 binary64)))
(/.f64 x (pow.f64 y #s(literal 2 binary64)))
(/.f64 x (pow.f64 y #s(literal 2 binary64)))
(/.f64 x (pow.f64 y #s(literal 2 binary64)))
(/.f64 x (pow.f64 y #s(literal 2 binary64)))
(/.f64 x (pow.f64 y #s(literal 2 binary64)))
(/.f64 x (pow.f64 y #s(literal 2 binary64)))
(/.f64 x (pow.f64 y #s(literal 2 binary64)))
(/.f64 x (pow.f64 y #s(literal 2 binary64)))
(/.f64 x (pow.f64 y #s(literal 2 binary64)))
(/.f64 x (pow.f64 y #s(literal 2 binary64)))
(/.f64 x (pow.f64 y #s(literal 2 binary64)))
(/.f64 x (pow.f64 y #s(literal 2 binary64)))
(/.f64 x (pow.f64 y #s(literal 2 binary64)))
(/.f64 x (pow.f64 y #s(literal 2 binary64)))
(/.f64 x (pow.f64 y #s(literal 2 binary64)))
(/.f64 x (pow.f64 y #s(literal 2 binary64)))
(/.f64 x (pow.f64 y #s(literal 2 binary64)))
(/.f64 x (pow.f64 y #s(literal 2 binary64)))
(/.f64 x (pow.f64 y #s(literal 2 binary64)))
(/.f64 x (pow.f64 y #s(literal 2 binary64)))
(/.f64 x (pow.f64 y #s(literal 2 binary64)))
(/.f64 x (pow.f64 y #s(literal 2 binary64)))
(/.f64 x (pow.f64 y #s(literal 2 binary64)))
(/.f64 x (pow.f64 y #s(literal 2 binary64)))
(/.f64 x (pow.f64 y #s(literal 2 binary64)))
(/.f64 x (pow.f64 y #s(literal 2 binary64)))
(/.f64 x (pow.f64 y #s(literal 2 binary64)))
(/.f64 x (pow.f64 y #s(literal 2 binary64)))
(/.f64 x (pow.f64 y #s(literal 2 binary64)))
(/.f64 x (pow.f64 y #s(literal 2 binary64)))
(/.f64 x (pow.f64 y #s(literal 2 binary64)))
(/.f64 x (pow.f64 y #s(literal 2 binary64)))
(/.f64 x (pow.f64 y #s(literal 2 binary64)))
(/.f64 x (pow.f64 y #s(literal 2 binary64)))
(/.f64 x (pow.f64 y #s(literal 2 binary64)))
(/.f64 x (pow.f64 y #s(literal 2 binary64)))
(/.f64 x (pow.f64 y #s(literal 2 binary64)))
(/.f64 x (pow.f64 y #s(literal 2 binary64)))
(/.f64 x (pow.f64 y #s(literal 2 binary64)))
(/.f64 x (pow.f64 y #s(literal 2 binary64)))
(/.f64 x (pow.f64 y #s(literal 2 binary64)))
(/.f64 x (pow.f64 y #s(literal 2 binary64)))
(/.f64 x (pow.f64 y #s(literal 2 binary64)))
(/.f64 x (pow.f64 y #s(literal 2 binary64)))
(/.f64 x (pow.f64 y #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 #s(literal -1 binary64) (/.f64 (*.f64 x (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64))) y))
(*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64))) y))
(*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64))) y))
(*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 3 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 #s(literal -1 binary64) (/.f64 (*.f64 x (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64))) y))
(*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64))) y))
(*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64))) y))
(*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64))) 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 (cbrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64))) (pow.f64 y #s(literal 2 binary64))))
(*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64))) (pow.f64 y #s(literal 2 binary64))))
(*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64))) (pow.f64 y #s(literal 2 binary64))))
(*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 3 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 #s(literal -1 binary64) (/.f64 (*.f64 x (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64))) (pow.f64 y #s(literal 2 binary64))))
(*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64))) (pow.f64 y #s(literal 2 binary64))))
(*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64))) (pow.f64 y #s(literal 2 binary64))))
(*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 3 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 #s(literal 0 binary64) (cbrt.f64 (/.f64 x y)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (cbrt.f64 (/.f64 x y)))) (cbrt.f64 (exp.f64 (cbrt.f64 (/.f64 x y)))))) (log.f64 (cbrt.f64 (exp.f64 (cbrt.f64 (/.f64 x y))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (cbrt.f64 (/.f64 x y))))) (log.f64 (sqrt.f64 (exp.f64 (cbrt.f64 (/.f64 x y))))))
(-.f64 (exp.f64 (log1p.f64 (cbrt.f64 (/.f64 x y)))) #s(literal 1 binary64))
(*.f64 (cbrt.f64 (/.f64 x y)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (cbrt.f64 (/.f64 x y)))
(*.f64 (cbrt.f64 x) (pow.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1/3 binary64)))
(*.f64 (cbrt.f64 x) (cbrt.f64 (/.f64 #s(literal 1 binary64) y)))
(*.f64 (cbrt.f64 x) (/.f64 #s(literal 1 binary64) (cbrt.f64 y)))
(*.f64 (cbrt.f64 (cbrt.f64 (/.f64 x y))) (pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 x y))) #s(literal 2 binary64)))
(*.f64 (cbrt.f64 (cbrt.f64 (/.f64 x y))) (pow.f64 (pow.f64 (cbrt.f64 (/.f64 x y)) #s(literal 2 binary64)) #s(literal 1/3 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 x y))) #s(literal 2 binary64)) (cbrt.f64 (cbrt.f64 (/.f64 x y))))
(*.f64 (pow.f64 (/.f64 x y) #s(literal 1/6 binary64)) (pow.f64 (/.f64 x y) #s(literal 1/6 binary64)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (/.f64 x y)) #s(literal 2 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (cbrt.f64 (/.f64 x y))))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/3 binary64)) (cbrt.f64 (/.f64 x y)))
(*.f64 (pow.f64 (sqrt.f64 (/.f64 x y)) #s(literal 1/3 binary64)) (pow.f64 (sqrt.f64 (/.f64 x y)) #s(literal 1/3 binary64)))
(/.f64 #s(literal 1 binary64) (cbrt.f64 (/.f64 y x)))
(/.f64 (cbrt.f64 x) (cbrt.f64 y))
(/.f64 (cbrt.f64 (neg.f64 x)) (cbrt.f64 (neg.f64 y)))
(/.f64 (neg.f64 (cbrt.f64 x)) (neg.f64 (cbrt.f64 y)))
(pow.f64 (/.f64 x y) #s(literal 1/3 binary64))
(pow.f64 (cbrt.f64 (/.f64 x y)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 x y))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (/.f64 x y) #s(literal 1/6 binary64)) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 x y)) #s(literal 2 binary64)))
(log.f64 (exp.f64 (cbrt.f64 (/.f64 x y))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (cbrt.f64 (/.f64 x y)))))
(expm1.f64 (log1p.f64 (cbrt.f64 (/.f64 x y))))
(log1p.f64 (expm1.f64 (cbrt.f64 (/.f64 x y))))
(exp.f64 (log.f64 (cbrt.f64 (/.f64 x y))))
(exp.f64 (*.f64 (log.f64 (/.f64 x y)) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (/.f64 x y))) #s(literal 1 binary64)))
(+.f64 #s(literal 0 binary64) (*.f64 x (pow.f64 y #s(literal -2 binary64))))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 (pow.f64 y #s(literal -2 binary64))) x)) (cbrt.f64 (pow.f64 (exp.f64 (pow.f64 y #s(literal -2 binary64))) x)))) (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 (pow.f64 y #s(literal -2 binary64))) x))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (pow.f64 y #s(literal -2 binary64))) x))))
(-.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 x (/.f64 (/.f64 #s(literal 1 binary64) y) y))
(*.f64 (/.f64 x y) (/.f64 #s(literal 1 binary64) y))
(*.f64 (cbrt.f64 (/.f64 x y)) (/.f64 (pow.f64 (cbrt.f64 (/.f64 x y)) #s(literal 2 binary64)) y))
(*.f64 (cbrt.f64 (/.f64 x y)) (*.f64 (pow.f64 (cbrt.f64 (/.f64 x y)) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) y)))
(*.f64 (pow.f64 y #s(literal -2 binary64)) x)
(*.f64 #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 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (neg.f64 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 y #s(literal -4 binary64))) (/.f64 (cbrt.f64 (pow.f64 y #s(literal -2 binary64))) (/.f64 #s(literal 1 binary64) x)))
(*.f64 (cbrt.f64 (pow.f64 y #s(literal -4 binary64))) (*.f64 (cbrt.f64 (pow.f64 y #s(literal -2 binary64))) x))
(*.f64 (cbrt.f64 (*.f64 x (pow.f64 y #s(literal -2 binary64)))) (cbrt.f64 (*.f64 (pow.f64 y #s(literal -4 binary64)) (pow.f64 x #s(literal 2 binary64)))))
(*.f64 (cbrt.f64 (*.f64 (pow.f64 y #s(literal -4 binary64)) (pow.f64 x #s(literal 2 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 (*.f64 (sqrt.f64 x) (/.f64 #s(literal 1 binary64) y)) (*.f64 (sqrt.f64 x) (/.f64 #s(literal 1 binary64) y)))
(*.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (pow.f64 y #s(literal -2 binary64))))
(*.f64 (/.f64 x (neg.f64 y)) (/.f64 #s(literal 1 binary64) (neg.f64 y)))
(*.f64 (neg.f64 (pow.f64 y #s(literal -2 binary64))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)))
(*.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 x y))
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(*.f64 (cbrt.f64 (pow.f64 y #s(literal -4 binary64))) (*.f64 (cbrt.f64 (pow.f64 y #s(literal -2 binary64))) x))
(*.f64 (cbrt.f64 (*.f64 x (pow.f64 y #s(literal -2 binary64)))) (cbrt.f64 (*.f64 (pow.f64 y #s(literal -4 binary64)) (pow.f64 x #s(literal 2 binary64)))))
(*.f64 (cbrt.f64 (*.f64 (pow.f64 y #s(literal -4 binary64)) (pow.f64 x #s(literal 2 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 (*.f64 (sqrt.f64 x) (/.f64 #s(literal 1 binary64) y)) (*.f64 (sqrt.f64 x) (/.f64 #s(literal 1 binary64) y)))
(*.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (pow.f64 y #s(literal -2 binary64))))
(*.f64 (/.f64 x (neg.f64 y)) (/.f64 #s(literal 1 binary64) (neg.f64 y)))
(*.f64 (neg.f64 (pow.f64 y #s(literal -2 binary64))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)))
(*.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 x y))
(*.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 (cbrt.f64 (pow.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 (pow.f64 (/.f64 y (sqrt.f64 x)) #s(literal -1 binary64)) (pow.f64 (/.f64 y (sqrt.f64 x)) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 (pow.f64 x #s(literal -2 binary64)))) (/.f64 (pow.f64 y #s(literal -2 binary64)) (/.f64 #s(literal 1 binary64) (cbrt.f64 x))))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -1/2 binary64))) (/.f64 (pow.f64 y #s(literal -2 binary64)) (pow.f64 x #s(literal -1/2 binary64))))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 y #s(literal -4 binary64))) #s(literal 1 binary64)) (/.f64 (cbrt.f64 (pow.f64 y #s(literal -2 binary64))) (/.f64 #s(literal 1 binary64) x)))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 y #s(literal -4 binary64))) (cbrt.f64 (pow.f64 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 -4 binary64))) (pow.f64 x #s(literal -1/2 binary64))) (/.f64 (cbrt.f64 (pow.f64 y #s(literal -2 binary64))) (pow.f64 x #s(literal -1/2 binary64))))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1 binary64)) (/.f64 x y))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) (cbrt.f64 (pow.f64 x #s(literal -2 binary64)))) (/.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 1 binary64) (cbrt.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 #s(literal 1 binary64) (sqrt.f64 y)) (/.f64 (/.f64 x y) (sqrt.f64 y)))
(*.f64 (/.f64 x (sqrt.f64 y)) (/.f64 (/.f64 #s(literal 1 binary64) y) (sqrt.f64 y)))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) y) x)
(*.f64 (/.f64 x (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) y) (cbrt.f64 y)))
(*.f64 (/.f64 (cbrt.f64 (/.f64 x y)) #s(literal 1 binary64)) (/.f64 (pow.f64 (cbrt.f64 (/.f64 x y)) #s(literal 2 binary64)) y))
(*.f64 (/.f64 (cbrt.f64 (/.f64 x y)) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (/.f64 (pow.f64 (cbrt.f64 (/.f64 x y)) #s(literal 2 binary64)) (cbrt.f64 y)))
(*.f64 (/.f64 (cbrt.f64 (/.f64 x y)) (sqrt.f64 y)) (/.f64 (pow.f64 (cbrt.f64 (/.f64 x y)) #s(literal 2 binary64)) (sqrt.f64 y)))
(*.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 (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 (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 (pow.f64 y #s(literal -2 binary64)) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 x))
(*.f64 (*.f64 (pow.f64 y #s(literal -2 binary64)) (sqrt.f64 x)) (sqrt.f64 x))
(*.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)) #s(literal -1 binary64)) (neg.f64 x))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))) x)
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) (neg.f64 y)) (neg.f64 x))
(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) (/.f64 #s(literal 1 binary64) y)) #s(literal 2 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)) (/.f64 #s(literal -1 binary64) x)))
(neg.f64 (/.f64 (/.f64 x y) (neg.f64 y)))
(neg.f64 (/.f64 (neg.f64 (pow.f64 y #s(literal -2 binary64))) (/.f64 #s(literal 1 binary64) x)))
(neg.f64 (/.f64 (/.f64 x (neg.f64 y)) y))
(neg.f64 (/.f64 #s(literal -1 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) x)))
(sqrt.f64 (*.f64 (pow.f64 y #s(literal -4 binary64)) (pow.f64 x #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 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 (pow.f64 y #s(literal -2 binary64)) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) 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 (fma.f64 #s(literal -2 binary64) (log.f64 y) (log.f64 x)))
(exp.f64 (*.f64 (log.f64 (/.f64 (pow.f64 y #s(literal 2 binary64)) x)) #s(literal -1 binary64)))
(exp.f64 (*.f64 (fma.f64 #s(literal -2 binary64) (log.f64 y) (log.f64 x)) #s(literal 1 binary64)))
(+.f64 #s(literal 0 binary64) (*.f64 x (pow.f64 y #s(literal -2 binary64))))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 (pow.f64 y #s(literal -2 binary64))) x)) (cbrt.f64 (pow.f64 (exp.f64 (pow.f64 y #s(literal -2 binary64))) x)))) (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 (pow.f64 y #s(literal -2 binary64))) x))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (pow.f64 y #s(literal -2 binary64))) x))))
(-.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 x (/.f64 (/.f64 #s(literal 1 binary64) y) y))
(*.f64 (/.f64 x y) (/.f64 #s(literal 1 binary64) y))
(*.f64 (cbrt.f64 (/.f64 x y)) (/.f64 (pow.f64 (cbrt.f64 (/.f64 x y)) #s(literal 2 binary64)) y))
(*.f64 (cbrt.f64 (/.f64 x y)) (*.f64 (pow.f64 (cbrt.f64 (/.f64 x y)) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) y)))
(*.f64 (pow.f64 y #s(literal -2 binary64)) x)
(*.f64 #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 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (neg.f64 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 y #s(literal -4 binary64))) (/.f64 (cbrt.f64 (pow.f64 y #s(literal -2 binary64))) (/.f64 #s(literal 1 binary64) x)))
(*.f64 (cbrt.f64 (pow.f64 y #s(literal -4 binary64))) (*.f64 (cbrt.f64 (pow.f64 y #s(literal -2 binary64))) x))
(*.f64 (cbrt.f64 (*.f64 x (pow.f64 y #s(literal -2 binary64)))) (cbrt.f64 (*.f64 (pow.f64 y #s(literal -4 binary64)) (pow.f64 x #s(literal 2 binary64)))))
(*.f64 (cbrt.f64 (*.f64 (pow.f64 y #s(literal -4 binary64)) (pow.f64 x #s(literal 2 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 (*.f64 (sqrt.f64 x) (/.f64 #s(literal 1 binary64) y)) (*.f64 (sqrt.f64 x) (/.f64 #s(literal 1 binary64) y)))
(*.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (pow.f64 y #s(literal -2 binary64))))
(*.f64 (/.f64 x (neg.f64 y)) (/.f64 #s(literal 1 binary64) (neg.f64 y)))
(*.f64 (neg.f64 (pow.f64 y #s(literal -2 binary64))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)))
(*.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 x y))
(*.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 (cbrt.f64 (pow.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 (pow.f64 (/.f64 y (sqrt.f64 x)) #s(literal -1 binary64)) (pow.f64 (/.f64 y (sqrt.f64 x)) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 (pow.f64 x #s(literal -2 binary64)))) (/.f64 (pow.f64 y #s(literal -2 binary64)) (/.f64 #s(literal 1 binary64) (cbrt.f64 x))))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -1/2 binary64))) (/.f64 (pow.f64 y #s(literal -2 binary64)) (pow.f64 x #s(literal -1/2 binary64))))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 y #s(literal -4 binary64))) #s(literal 1 binary64)) (/.f64 (cbrt.f64 (pow.f64 y #s(literal -2 binary64))) (/.f64 #s(literal 1 binary64) x)))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 y #s(literal -4 binary64))) (cbrt.f64 (pow.f64 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 -4 binary64))) (pow.f64 x #s(literal -1/2 binary64))) (/.f64 (cbrt.f64 (pow.f64 y #s(literal -2 binary64))) (pow.f64 x #s(literal -1/2 binary64))))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1 binary64)) (/.f64 x y))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) (cbrt.f64 (pow.f64 x #s(literal -2 binary64)))) (/.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 1 binary64) (cbrt.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 #s(literal 1 binary64) (sqrt.f64 y)) (/.f64 (/.f64 x y) (sqrt.f64 y)))
(*.f64 (/.f64 x (sqrt.f64 y)) (/.f64 (/.f64 #s(literal 1 binary64) y) (sqrt.f64 y)))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) y) x)
(*.f64 (/.f64 x (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) y) (cbrt.f64 y)))
(*.f64 (/.f64 (cbrt.f64 (/.f64 x y)) #s(literal 1 binary64)) (/.f64 (pow.f64 (cbrt.f64 (/.f64 x y)) #s(literal 2 binary64)) y))
(*.f64 (/.f64 (cbrt.f64 (/.f64 x y)) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (/.f64 (pow.f64 (cbrt.f64 (/.f64 x y)) #s(literal 2 binary64)) (cbrt.f64 y)))
(*.f64 (/.f64 (cbrt.f64 (/.f64 x y)) (sqrt.f64 y)) (/.f64 (pow.f64 (cbrt.f64 (/.f64 x y)) #s(literal 2 binary64)) (sqrt.f64 y)))
(*.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 (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 (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 (pow.f64 y #s(literal -2 binary64)) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 x))
(*.f64 (*.f64 (pow.f64 y #s(literal -2 binary64)) (sqrt.f64 x)) (sqrt.f64 x))
(*.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)) #s(literal -1 binary64)) (neg.f64 x))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))) x)
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) (neg.f64 y)) (neg.f64 x))
(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) (/.f64 #s(literal 1 binary64) y)) #s(literal 2 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)) (/.f64 #s(literal -1 binary64) x)))
(neg.f64 (/.f64 (/.f64 x y) (neg.f64 y)))
(neg.f64 (/.f64 (neg.f64 (pow.f64 y #s(literal -2 binary64))) (/.f64 #s(literal 1 binary64) x)))
(neg.f64 (/.f64 (/.f64 x (neg.f64 y)) y))
(neg.f64 (/.f64 #s(literal -1 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) x)))
(sqrt.f64 (*.f64 (pow.f64 y #s(literal -4 binary64)) (pow.f64 x #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 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 (pow.f64 y #s(literal -2 binary64)) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) 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 (fma.f64 #s(literal -2 binary64) (log.f64 y) (log.f64 x)))
(exp.f64 (*.f64 (log.f64 (/.f64 (pow.f64 y #s(literal 2 binary64)) x)) #s(literal -1 binary64)))
(exp.f64 (*.f64 (fma.f64 #s(literal -2 binary64) (log.f64 y) (log.f64 x)) #s(literal 1 binary64)))
Outputs
(*.f64 #s(literal -1 binary64) (*.f64 (cbrt.f64 (/.f64 x y)) (cbrt.f64 #s(literal -1 binary64))))
(neg.f64 (*.f64 (cbrt.f64 (/.f64 x y)) (cbrt.f64 #s(literal -1 binary64))))
(*.f64 (cbrt.f64 (/.f64 x y)) (neg.f64 (cbrt.f64 #s(literal -1 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 (cbrt.f64 (/.f64 x y)) (cbrt.f64 #s(literal -1 binary64))))
(neg.f64 (*.f64 (cbrt.f64 (/.f64 x y)) (cbrt.f64 #s(literal -1 binary64))))
(*.f64 (cbrt.f64 (/.f64 x y)) (neg.f64 (cbrt.f64 #s(literal -1 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 (cbrt.f64 (/.f64 x y)) (cbrt.f64 #s(literal -1 binary64))))
(neg.f64 (*.f64 (cbrt.f64 (/.f64 x y)) (cbrt.f64 #s(literal -1 binary64))))
(*.f64 (cbrt.f64 (/.f64 x y)) (neg.f64 (cbrt.f64 #s(literal -1 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 (cbrt.f64 (/.f64 x y)) (cbrt.f64 #s(literal -1 binary64))))
(neg.f64 (*.f64 (cbrt.f64 (/.f64 x y)) (cbrt.f64 #s(literal -1 binary64))))
(*.f64 (cbrt.f64 (/.f64 x y)) (neg.f64 (cbrt.f64 #s(literal -1 binary64))))
(*.f64 (cbrt.f64 (/.f64 x y)) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))
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(*.f64 (*.f64 x (cbrt.f64 (pow.f64 y #s(literal -4 binary64)))) (cbrt.f64 (pow.f64 y #s(literal -2 binary64))))
(*.f64 (cbrt.f64 (pow.f64 y #s(literal -4 binary64))) (/.f64 (cbrt.f64 (pow.f64 y #s(literal -2 binary64))) (/.f64 #s(literal 1 binary64) x)))
(*.f64 x (*.f64 (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)) #s(literal -1 binary64)) (neg.f64 x))
(*.f64 x (pow.f64 y #s(literal -2 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))) x)
(/.f64 x (pow.f64 y #s(literal 2 binary64)))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) (neg.f64 y)) (neg.f64 x))
(/.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) (/.f64 #s(literal 1 binary64) 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)))
(neg.f64 (/.f64 (pow.f64 y #s(literal -2 binary64)) (/.f64 #s(literal -1 binary64) x)))
(*.f64 x (pow.f64 y #s(literal -2 binary64)))
(neg.f64 (/.f64 (/.f64 x y) (neg.f64 y)))
(/.f64 x (pow.f64 y #s(literal 2 binary64)))
(neg.f64 (/.f64 (neg.f64 (pow.f64 y #s(literal -2 binary64))) (/.f64 #s(literal 1 binary64) x)))
(*.f64 x (pow.f64 y #s(literal -2 binary64)))
(neg.f64 (/.f64 (/.f64 x (neg.f64 y)) y))
(/.f64 x (pow.f64 y #s(literal 2 binary64)))
(neg.f64 (/.f64 #s(literal -1 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) x)))
(/.f64 x (pow.f64 y #s(literal 2 binary64)))
(sqrt.f64 (*.f64 (pow.f64 y #s(literal -4 binary64)) (pow.f64 x #s(literal 2 binary64))))
(sqrt.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal -4 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 x #s(literal 3 binary64)) (pow.f64 (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 (pow.f64 y #s(literal -2 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))
(*.f64 x (pow.f64 y #s(literal -2 binary64)))
(cbrt.f64 (/.f64 (pow.f64 (pow.f64 y #s(literal -2 binary64)) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 3 binary64))))
(*.f64 x (pow.f64 y #s(literal -2 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 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)))
(log1p.f64 (expm1.f64 (*.f64 x (pow.f64 y #s(literal -2 binary64)))))
(*.f64 x (pow.f64 y #s(literal -2 binary64)))
(exp.f64 (fma.f64 #s(literal -2 binary64) (log.f64 y) (log.f64 x)))
(*.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)))
(exp.f64 (*.f64 (fma.f64 #s(literal -2 binary64) (log.f64 y) (log.f64 x)) #s(literal 1 binary64)))
(*.f64 x (pow.f64 y #s(literal -2 binary64)))

eval40.0ms (0.7%)

Compiler

Compiled 2547 to 1357 computations (46.7% saved)

prune139.0ms (2.5%)

Pruning

9 alts after pruning (1 fresh and 8 done)

PrunedKeptTotal
New2221223
Fresh000
Picked134
Done055
Total2239232
Accuracy
100.0%
Counts
232 → 9
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.5%
(pow.f64 (/.f64 (sqrt.f64 x) y) #s(literal 2 binary64))
98.9%
(/.f64 (pow.f64 (cbrt.f64 (/.f64 x y)) #s(literal 3 binary64)) y)
99.5%
(/.f64 (/.f64 (/.f64 x y) (sqrt.f64 y)) (sqrt.f64 y))
99.7%
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 1 binary64) x)) y)
99.8%
(/.f64 (/.f64 x y) y)
99.7%
(/.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 y x))
88.6%
(/.f64 x (*.f64 y y))
99.7%
(/.f64 #s(literal 1 binary64) (*.f64 y (/.f64 y x)))
88.1%
(*.f64 (pow.f64 y #s(literal -2 binary64)) x)
Compiler

Compiled 250 to 137 computations (45.2% saved)

regimes31.0ms (0.6%)

Counts
21 → 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 #s(literal 1 binary64) (*.f64 y (/.f64 y x)))
(/.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 y x))
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 1 binary64) x)) y)
(*.f64 (pow.f64 y #s(literal -2 binary64)) x)
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) x))
(/.f64 (pow.f64 y #s(literal -2 binary64)) (/.f64 #s(literal 1 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 (cbrt.f64 (/.f64 x y)) #s(literal 3 binary64)) y)
(*.f64 (pow.f64 y #s(literal -2 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)))
(/.f64 (sqrt.f64 x) (*.f64 (/.f64 y (sqrt.f64 x)) y))
(/.f64 (/.f64 (/.f64 x y) (sqrt.f64 y)) (sqrt.f64 y))
(*.f64 (sqrt.f64 (/.f64 x y)) (/.f64 (sqrt.f64 (/.f64 x y)) y))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 y)) (/.f64 (/.f64 x y) (sqrt.f64 y)))
(exp.f64 (*.f64 (log.f64 (/.f64 (sqrt.f64 x) y)) #s(literal 2 binary64)))
(pow.f64 (cbrt.f64 (*.f64 x (pow.f64 y #s(literal -2 binary64)))) #s(literal 3 binary64))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) y) (/.f64 (cbrt.f64 x) y))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 x y)) #s(literal 2 binary64)) (/.f64 (cbrt.f64 (/.f64 x y)) y))
Outputs
(/.f64 (/.f64 x y) y)
Calls

4 calls:

14.0ms
(/.f64 x (*.f64 y y))
7.0ms
x
6.0ms
y
3.0ms
(*.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)

regimes2.0ms (0%)

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:

0.0ms
(/.f64 x (*.f64 y y))
0.0ms
(*.f64 y y)
0.0ms
y
0.0ms
x
Results
AccuracySegmentsBranch
88.6%1x
88.6%1y
88.6%1(/.f64 x (*.f64 y y))
88.6%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))

soundness342.0ms (6.1%)

Rules
862×log1p-expm1-u
862×expm1-log1p-u
436×log1p-expm1-u
436×expm1-log1p-u
419×add-exp-log
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
024135
1342119
24616119
0929
19329
2121429
Stop Event
fuel
node limit
node limit
Compiler

Compiled 125 to 54 computations (56.8% saved)

preprocess30.0ms (0.5%)

Remove

(negabs x)

(abs y)

Compiler

Compiled 108 to 60 computations (44.4% saved)

end0.0ms (0%)

Profiling

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