Numeric.SpecFunctions:invIncompleteBetaWorker from math-functions-0.1.5.2, E

Time bar (total: 4.7s)

analyze13.0ms (0.3%)

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
50%50%50%0.1%0%0%0%2
50%50%50%0.1%0%0%0%3
66.7%50%25%0.1%0%25%0%4
66.7%50%25%0.1%0%25%0%5
80%50%12.5%0.1%0%37.5%0%6
80%50%12.5%0.1%0%37.5%0%7
88.9%50%6.2%0.1%0%43.7%0%8
88.9%50%6.2%0.1%0%43.7%0%9
94.1%50%3.1%0.1%0%46.8%0%10
94.1%50%3.1%0.1%0%46.8%0%11
97%50%1.6%0.1%0%48.4%0%12
Compiler

Compiled 11 to 8 computations (27.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 4.0ms
ival-sub: 1.0ms (24.2% of total)
ival-add: 1.0ms (24.2% of total)
ival-mult: 1.0ms (24.2% of total)
ival-sqrt: 1.0ms (24.2% of total)
const: 0.0ms (0% of total)

sample966.0ms (20.4%)

Results
643.0ms7739×0valid
43.0ms512×0infinite
15.0ms258×0invalid
1.0ms1valid
Precisions
Click to see histograms. Total time spent on operations: 283.0ms
ival-mult: 77.0ms (27.2% of total)
ival-sqrt: 76.0ms (26.9% of total)
ival-sub: 63.0ms (22.3% of total)
ival-add: 52.0ms (18.4% of total)
const: 12.0ms (4.2% of total)
backward-pass: 4.0ms (1.4% of total)
Bogosity

preprocess103.0ms (2.2%)

Algorithm
egg-herbie
Rules
524×fma-neg
466×fma-define
120×cancel-sign-sub-inv
100×associate--r+
100×sub-neg
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
027256
168216
2192212
3562204
41481204
52252204
62534204
72643204
82656204
Stop Event
saturated
Calls
Call 1
Inputs
(+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (sqrt.f64 x)))
(+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (sqrt.f64 x)))
(+.f64 (-.f64 #s(literal 1 binary64) (neg.f64 x)) (*.f64 y (sqrt.f64 (neg.f64 x))))
(+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 (neg.f64 y) (sqrt.f64 x)))
(neg.f64 (+.f64 (-.f64 #s(literal 1 binary64) (neg.f64 x)) (*.f64 y (sqrt.f64 (neg.f64 x)))))
(neg.f64 (+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 (neg.f64 y) (sqrt.f64 x))))
(+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 x (sqrt.f64 y)))
Outputs
(+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (sqrt.f64 x)))
(fma.f64 y (sqrt.f64 x) (-.f64 #s(literal 1 binary64) x))
(+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (sqrt.f64 x)))
(fma.f64 y (sqrt.f64 x) (-.f64 #s(literal 1 binary64) x))
(+.f64 (-.f64 #s(literal 1 binary64) (neg.f64 x)) (*.f64 y (sqrt.f64 (neg.f64 x))))
(fma.f64 y (sqrt.f64 (neg.f64 x)) (+.f64 #s(literal 1 binary64) x))
(+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 (neg.f64 y) (sqrt.f64 x)))
(+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 (sqrt.f64 x) (neg.f64 y)))
(-.f64 #s(literal 1 binary64) (+.f64 x (*.f64 y (sqrt.f64 x))))
(-.f64 #s(literal 1 binary64) (fma.f64 y (sqrt.f64 x) x))
(neg.f64 (+.f64 (-.f64 #s(literal 1 binary64) (neg.f64 x)) (*.f64 y (sqrt.f64 (neg.f64 x)))))
(neg.f64 (fma.f64 y (sqrt.f64 (neg.f64 x)) (+.f64 #s(literal 1 binary64) x)))
(-.f64 #s(literal -1 binary64) (fma.f64 y (sqrt.f64 (neg.f64 x)) x))
(neg.f64 (+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 (neg.f64 y) (sqrt.f64 x))))
(neg.f64 (+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 (sqrt.f64 x) (neg.f64 y))))
(+.f64 (*.f64 y (sqrt.f64 x)) (+.f64 #s(literal -1 binary64) x))
(fma.f64 y (sqrt.f64 x) (+.f64 x #s(literal -1 binary64)))
(+.f64 x (fma.f64 y (sqrt.f64 x) #s(literal -1 binary64)))
(+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 x (sqrt.f64 y)))
(fma.f64 x (sqrt.f64 y) (-.f64 #s(literal 1 binary64) y))
(-.f64 (fma.f64 x (sqrt.f64 y) #s(literal 1 binary64)) y)

explain86.0ms (1.8%)

FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
00-0-x
00-0-(*.f64 y (sqrt.f64 x))
00-0-(-.f64 #s(literal 1 binary64) x)
00-0-#s(literal 1 binary64)
00-0-y
00-0-(sqrt.f64 x)
00-0-(+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (sqrt.f64 x)))
Results
51.0ms482×256valid
4.0ms30×256infinite
Compiler

Compiled 56 to 29 computations (48.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 20.0ms
ival-sub: 6.0ms (30.6% of total)
ival-sqrt: 5.0ms (25.5% of total)
ival-mult: 4.0ms (20.4% of total)
ival-add: 3.0ms (15.3% of total)
const: 1.0ms (5.1% of total)

eval0.0ms (0%)

Compiler

Compiled 9 to 6 computations (33.3% saved)

prune1.0ms (0%)

Alt Table
Click to see full alt table
StatusAccuracyProgram
99.8%
(+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (sqrt.f64 x)))
Compiler

Compiled 10 to 7 computations (30% saved)

localize45.0ms (0.9%)

Localize:

Found 1 expressions with local error:

NewAccuracyProgram
99.6%
(*.f64 y (sqrt.f64 x))
Results
30.0ms241×256valid
1.0ms15×256infinite
Compiler

Compiled 23 to 11 computations (52.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 16.0ms
ival-sqrt: 8.0ms (51.6% of total)
ival-sub: 3.0ms (19.3% of total)
ival-mult: 2.0ms (12.9% of total)
ival-add: 1.0ms (6.4% of total)
const: 1.0ms (6.4% of total)

series4.0ms (0.1%)

Counts
1 → 24
Calls
Call 1
Inputs
#<alt (*.f64 y (sqrt.f64 x))>
Outputs
#<alt (*.f64 (sqrt.f64 x) y)>
#<alt (*.f64 (sqrt.f64 x) y)>
#<alt (*.f64 (sqrt.f64 x) y)>
#<alt (*.f64 (sqrt.f64 x) y)>
#<alt (*.f64 (sqrt.f64 x) y)>
#<alt (*.f64 (sqrt.f64 x) y)>
#<alt (*.f64 (sqrt.f64 x) y)>
#<alt (*.f64 (sqrt.f64 x) y)>
#<alt (*.f64 (sqrt.f64 x) y)>
#<alt (*.f64 (sqrt.f64 x) y)>
#<alt (*.f64 (sqrt.f64 x) y)>
#<alt (*.f64 (sqrt.f64 x) y)>
#<alt (*.f64 (sqrt.f64 x) y)>
#<alt (*.f64 (sqrt.f64 x) y)>
#<alt (*.f64 (sqrt.f64 x) y)>
#<alt (*.f64 (sqrt.f64 x) y)>
#<alt (*.f64 (sqrt.f64 x) y)>
#<alt (*.f64 (sqrt.f64 x) y)>
#<alt (*.f64 (sqrt.f64 x) y)>
#<alt (*.f64 (sqrt.f64 x) y)>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 x) (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 x) (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 x) (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 x) (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))>
Calls

6 calls:

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

rewrite173.0ms (3.7%)

Algorithm
batch-egg-rewrite
Rules
336×unpow-prod-down
311×log1p-expm1-u
311×expm1-log1p-u
297×add-exp-log
280×add-log-exp
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01017
18517
290017
Stop Event
node limit
Counts
1 → 22
Calls
Call 1
Inputs
(*.f64 y (sqrt.f64 x))
Outputs
(+.f64 #s(literal 0 binary64) (*.f64 y (sqrt.f64 x)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 y) (sqrt.f64 x))) #s(literal 2 binary64))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 y) (sqrt.f64 x)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 y) (sqrt.f64 x)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 y) (sqrt.f64 x)))))
(-.f64 (+.f64 #s(literal 1 binary64) (*.f64 y (sqrt.f64 x))) #s(literal 1 binary64))
(pow.f64 (*.f64 y (sqrt.f64 x)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 y (sqrt.f64 x))) #s(literal 3 binary64))
(pow.f64 (*.f64 x (pow.f64 y #s(literal 2 binary64))) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (*.f64 y (sqrt.f64 x)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 y (sqrt.f64 x))) #s(literal 2 binary64))
(pow.f64 (E.f64) (log.f64 (*.f64 y (sqrt.f64 x))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 y (sqrt.f64 x)))) #s(literal 2 binary64))) (cbrt.f64 (log.f64 (*.f64 y (sqrt.f64 x)))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (*.f64 y (sqrt.f64 x))))) (sqrt.f64 (log.f64 (*.f64 y (sqrt.f64 x)))))
(sqrt.f64 (*.f64 x (pow.f64 y #s(literal 2 binary64))))
(fabs.f64 (*.f64 y (sqrt.f64 x)))
(log.f64 (pow.f64 (exp.f64 y) (sqrt.f64 x)))
(cbrt.f64 (pow.f64 (*.f64 y (sqrt.f64 x)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 y (sqrt.f64 x))))
(log1p.f64 (expm1.f64 (*.f64 y (sqrt.f64 x))))
(exp.f64 (log.f64 (*.f64 y (sqrt.f64 x))))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 y (sqrt.f64 x)))) #s(literal 3 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 3 binary64) (log.f64 (*.f64 y (sqrt.f64 x)))) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 y (sqrt.f64 x)))) #s(literal 2 binary64)))

simplify59.0ms (1.3%)

Algorithm
egg-herbie
Rules
709×distribute-lft-in
643×fma-define
587×distribute-rgt-in
444×fma-neg
420×distribute-lft-neg-out
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
074942
1133942
2330942
31203942
45268942
Stop Event
node limit
Counts
46 → 29
Calls
Call 1
Inputs
(*.f64 (sqrt.f64 x) y)
(*.f64 (sqrt.f64 x) y)
(*.f64 (sqrt.f64 x) y)
(*.f64 (sqrt.f64 x) y)
(*.f64 (sqrt.f64 x) y)
(*.f64 (sqrt.f64 x) y)
(*.f64 (sqrt.f64 x) y)
(*.f64 (sqrt.f64 x) y)
(*.f64 (sqrt.f64 x) y)
(*.f64 (sqrt.f64 x) y)
(*.f64 (sqrt.f64 x) y)
(*.f64 (sqrt.f64 x) y)
(*.f64 (sqrt.f64 x) y)
(*.f64 (sqrt.f64 x) y)
(*.f64 (sqrt.f64 x) y)
(*.f64 (sqrt.f64 x) y)
(*.f64 (sqrt.f64 x) y)
(*.f64 (sqrt.f64 x) y)
(*.f64 (sqrt.f64 x) y)
(*.f64 (sqrt.f64 x) y)
(*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 x) (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))
(*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 x) (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))
(*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 x) (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))
(*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 x) (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))
(+.f64 #s(literal 0 binary64) (*.f64 y (sqrt.f64 x)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 y) (sqrt.f64 x))) #s(literal 2 binary64))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 y) (sqrt.f64 x)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 y) (sqrt.f64 x)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 y) (sqrt.f64 x)))))
(-.f64 (+.f64 #s(literal 1 binary64) (*.f64 y (sqrt.f64 x))) #s(literal 1 binary64))
(pow.f64 (*.f64 y (sqrt.f64 x)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 y (sqrt.f64 x))) #s(literal 3 binary64))
(pow.f64 (*.f64 x (pow.f64 y #s(literal 2 binary64))) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (*.f64 y (sqrt.f64 x)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 y (sqrt.f64 x))) #s(literal 2 binary64))
(pow.f64 (E.f64) (log.f64 (*.f64 y (sqrt.f64 x))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 y (sqrt.f64 x)))) #s(literal 2 binary64))) (cbrt.f64 (log.f64 (*.f64 y (sqrt.f64 x)))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (*.f64 y (sqrt.f64 x))))) (sqrt.f64 (log.f64 (*.f64 y (sqrt.f64 x)))))
(sqrt.f64 (*.f64 x (pow.f64 y #s(literal 2 binary64))))
(fabs.f64 (*.f64 y (sqrt.f64 x)))
(log.f64 (pow.f64 (exp.f64 y) (sqrt.f64 x)))
(cbrt.f64 (pow.f64 (*.f64 y (sqrt.f64 x)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 y (sqrt.f64 x))))
(log1p.f64 (expm1.f64 (*.f64 y (sqrt.f64 x))))
(exp.f64 (log.f64 (*.f64 y (sqrt.f64 x))))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 y (sqrt.f64 x)))) #s(literal 3 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 3 binary64) (log.f64 (*.f64 y (sqrt.f64 x)))) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 y (sqrt.f64 x)))) #s(literal 2 binary64)))
Outputs
(*.f64 (sqrt.f64 x) y)
(*.f64 (sqrt.f64 x) y)
(*.f64 (sqrt.f64 x) y)
(*.f64 (sqrt.f64 x) y)
(*.f64 (sqrt.f64 x) y)
(*.f64 (sqrt.f64 x) y)
(*.f64 (sqrt.f64 x) y)
(*.f64 (sqrt.f64 x) y)
(*.f64 (sqrt.f64 x) y)
(*.f64 (sqrt.f64 x) y)
(*.f64 (sqrt.f64 x) y)
(*.f64 (sqrt.f64 x) y)
(*.f64 (sqrt.f64 x) y)
(*.f64 (sqrt.f64 x) y)
(*.f64 (sqrt.f64 x) y)
(*.f64 (sqrt.f64 x) y)
(*.f64 (sqrt.f64 x) y)
(*.f64 (sqrt.f64 x) y)
(*.f64 (sqrt.f64 x) y)
(*.f64 (sqrt.f64 x) y)
(*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 x) (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))
(*.f64 (sqrt.f64 x) y)
(*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 x) (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))
(*.f64 (sqrt.f64 x) y)
(*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 x) (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))
(*.f64 (sqrt.f64 x) y)
(*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 x) (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))
(*.f64 (sqrt.f64 x) y)
(+.f64 #s(literal 0 binary64) (*.f64 y (sqrt.f64 x)))
(*.f64 (sqrt.f64 x) y)
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 y) (sqrt.f64 x))) #s(literal 2 binary64))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 y) (sqrt.f64 x)))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (sqrt.f64 x)) y)) #s(literal 2 binary64))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (sqrt.f64 x)) y))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 y) (sqrt.f64 x)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 y) (sqrt.f64 x)))))
(*.f64 #s(literal 2 binary64) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 y) (sqrt.f64 x)))))
(*.f64 #s(literal 2 binary64) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (sqrt.f64 x)) y))))
(-.f64 (+.f64 #s(literal 1 binary64) (*.f64 y (sqrt.f64 x))) #s(literal 1 binary64))
(*.f64 (sqrt.f64 x) y)
(pow.f64 (*.f64 y (sqrt.f64 x)) #s(literal 1 binary64))
(*.f64 (sqrt.f64 x) y)
(pow.f64 (cbrt.f64 (*.f64 y (sqrt.f64 x))) #s(literal 3 binary64))
(*.f64 (sqrt.f64 x) y)
(pow.f64 (*.f64 x (pow.f64 y #s(literal 2 binary64))) #s(literal 1/2 binary64))
(*.f64 (sqrt.f64 x) y)
(pow.f64 (pow.f64 (*.f64 y (sqrt.f64 x)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(*.f64 (sqrt.f64 x) y)
(pow.f64 (sqrt.f64 (*.f64 y (sqrt.f64 x))) #s(literal 2 binary64))
(*.f64 (sqrt.f64 x) y)
(pow.f64 (E.f64) (log.f64 (*.f64 y (sqrt.f64 x))))
(*.f64 (sqrt.f64 x) y)
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 y (sqrt.f64 x)))) #s(literal 2 binary64))) (cbrt.f64 (log.f64 (*.f64 y (sqrt.f64 x)))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 (sqrt.f64 x) y))) #s(literal 2 binary64))) (cbrt.f64 (log.f64 (*.f64 (sqrt.f64 x) y))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (*.f64 y (sqrt.f64 x))))) (sqrt.f64 (log.f64 (*.f64 y (sqrt.f64 x)))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (*.f64 (sqrt.f64 x) y)))) (sqrt.f64 (log.f64 (*.f64 (sqrt.f64 x) y))))
(sqrt.f64 (*.f64 x (pow.f64 y #s(literal 2 binary64))))
(*.f64 (sqrt.f64 x) y)
(fabs.f64 (*.f64 y (sqrt.f64 x)))
(*.f64 (sqrt.f64 x) y)
(log.f64 (pow.f64 (exp.f64 y) (sqrt.f64 x)))
(*.f64 (sqrt.f64 x) y)
(cbrt.f64 (pow.f64 (*.f64 y (sqrt.f64 x)) #s(literal 3 binary64)))
(*.f64 (sqrt.f64 x) y)
(expm1.f64 (log1p.f64 (*.f64 y (sqrt.f64 x))))
(*.f64 (sqrt.f64 x) y)
(log1p.f64 (expm1.f64 (*.f64 y (sqrt.f64 x))))
(*.f64 (sqrt.f64 x) y)
(exp.f64 (log.f64 (*.f64 y (sqrt.f64 x))))
(*.f64 (sqrt.f64 x) y)
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 y (sqrt.f64 x)))) #s(literal 3 binary64)))
(*.f64 (sqrt.f64 x) y)
(exp.f64 (*.f64 (*.f64 #s(literal 3 binary64) (log.f64 (*.f64 y (sqrt.f64 x)))) #s(literal 1/3 binary64)))
(*.f64 (sqrt.f64 x) y)
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 y (sqrt.f64 x)))) #s(literal 2 binary64)))
(*.f64 (sqrt.f64 x) y)

eval7.0ms (0.1%)

Compiler

Compiled 386 to 195 computations (49.5% saved)

prune6.0ms (0.1%)

Pruning

5 alts after pruning (4 fresh and 1 done)

PrunedKeptTotal
New25429
Fresh000
Picked011
Done000
Total25530
Accuracy
99.9%
Counts
30 → 5
Alt Table
Click to see full alt table
StatusAccuracyProgram
51.0%
(+.f64 (-.f64 #s(literal 1 binary64) x) (pow.f64 (sqrt.f64 (*.f64 y (sqrt.f64 x))) #s(literal 2 binary64)))
99.2%
(+.f64 (-.f64 #s(literal 1 binary64) x) (pow.f64 (cbrt.f64 (*.f64 y (sqrt.f64 x))) #s(literal 3 binary64)))
99.8%
(+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (sqrt.f64 x)))
61.8%
(+.f64 (-.f64 #s(literal 1 binary64) x) (sqrt.f64 (*.f64 x (pow.f64 y #s(literal 2 binary64)))))
67.9%
(+.f64 (-.f64 #s(literal 1 binary64) x) (cbrt.f64 (pow.f64 (*.f64 y (sqrt.f64 x)) #s(literal 3 binary64))))
Compiler

Compiled 61 to 46 computations (24.6% saved)

localize202.0ms (4.3%)

Localize:

Found 11 expressions with local error:

NewAccuracyProgram
99.8%
(*.f64 y (sqrt.f64 x))
99.7%
(pow.f64 (sqrt.f64 (*.f64 y (sqrt.f64 x))) #s(literal 2 binary64))
93.5%
(sqrt.f64 (*.f64 y (sqrt.f64 x)))
99.8%
(*.f64 y (sqrt.f64 x))
99.6%
(pow.f64 (cbrt.f64 (*.f64 y (sqrt.f64 x))) #s(literal 3 binary64))
93.1%
(cbrt.f64 (*.f64 y (sqrt.f64 x)))
94.5%
(*.f64 x (pow.f64 y #s(literal 2 binary64)))
84.0%
(sqrt.f64 (*.f64 x (pow.f64 y #s(literal 2 binary64))))
99.8%
(*.f64 y (sqrt.f64 x))
99.8%
(pow.f64 (*.f64 y (sqrt.f64 x)) #s(literal 3 binary64))
74.4%
(cbrt.f64 (pow.f64 (*.f64 y (sqrt.f64 x)) #s(literal 3 binary64)))
Results
68.0ms128×256invalid
66.0ms120×256valid
4.0ms256infinite
Compiler

Compiled 143 to 64 computations (55.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 89.0ms
ival-pow: 48.0ms (53.8% of total)
ival-sub: 12.0ms (13.4% of total)
ival-sqrt: 8.0ms (9% of total)
ival-mult: 7.0ms (7.8% of total)
ival-add: 5.0ms (5.6% of total)
ival-cbrt: 5.0ms (5.6% of total)
const: 4.0ms (4.5% of total)

series102.0ms (2.1%)

Counts
8 → 168
Calls
Call 1
Inputs
#<alt (cbrt.f64 (pow.f64 (*.f64 y (sqrt.f64 x)) #s(literal 3 binary64)))>
#<alt (pow.f64 (*.f64 y (sqrt.f64 x)) #s(literal 3 binary64))>
#<alt (sqrt.f64 (*.f64 x (pow.f64 y #s(literal 2 binary64))))>
#<alt (*.f64 x (pow.f64 y #s(literal 2 binary64)))>
#<alt (cbrt.f64 (*.f64 y (sqrt.f64 x)))>
#<alt (pow.f64 (cbrt.f64 (*.f64 y (sqrt.f64 x))) #s(literal 3 binary64))>
#<alt (sqrt.f64 (*.f64 y (sqrt.f64 x)))>
#<alt (pow.f64 (sqrt.f64 (*.f64 y (sqrt.f64 x))) #s(literal 2 binary64))>
Outputs
#<alt (*.f64 (sqrt.f64 x) y)>
#<alt (*.f64 (sqrt.f64 x) y)>
#<alt (*.f64 (sqrt.f64 x) y)>
#<alt (*.f64 (sqrt.f64 x) y)>
#<alt (*.f64 (sqrt.f64 x) y)>
#<alt (*.f64 (sqrt.f64 x) y)>
#<alt (*.f64 (sqrt.f64 x) y)>
#<alt (*.f64 (sqrt.f64 x) y)>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 x) (*.f64 y (cbrt.f64 #s(literal -1 binary64)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 x) (*.f64 y (cbrt.f64 #s(literal -1 binary64)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 x) (*.f64 y (cbrt.f64 #s(literal -1 binary64)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 x) (*.f64 y (cbrt.f64 #s(literal -1 binary64)))))>
#<alt (*.f64 (sqrt.f64 x) y)>
#<alt (*.f64 (sqrt.f64 x) y)>
#<alt (*.f64 (sqrt.f64 x) y)>
#<alt (*.f64 (sqrt.f64 x) y)>
#<alt (*.f64 (sqrt.f64 x) y)>
#<alt (*.f64 (sqrt.f64 x) y)>
#<alt (*.f64 (sqrt.f64 x) y)>
#<alt (*.f64 (sqrt.f64 x) y)>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 x) (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 x) (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 x) (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 x) (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))>
#<alt (*.f64 (sqrt.f64 (pow.f64 x #s(literal 3 binary64))) (pow.f64 y #s(literal 3 binary64)))>
#<alt (*.f64 (sqrt.f64 (pow.f64 x #s(literal 3 binary64))) (pow.f64 y #s(literal 3 binary64)))>
#<alt (*.f64 (sqrt.f64 (pow.f64 x #s(literal 3 binary64))) (pow.f64 y #s(literal 3 binary64)))>
#<alt (*.f64 (sqrt.f64 (pow.f64 x #s(literal 3 binary64))) (pow.f64 y #s(literal 3 binary64)))>
#<alt (*.f64 (sqrt.f64 (pow.f64 x #s(literal 3 binary64))) (pow.f64 y #s(literal 3 binary64)))>
#<alt (*.f64 (sqrt.f64 (pow.f64 x #s(literal 3 binary64))) (pow.f64 y #s(literal 3 binary64)))>
#<alt (*.f64 (sqrt.f64 (pow.f64 x #s(literal 3 binary64))) (pow.f64 y #s(literal 3 binary64)))>
#<alt (*.f64 (sqrt.f64 (pow.f64 x #s(literal 3 binary64))) (pow.f64 y #s(literal 3 binary64)))>
#<alt (*.f64 (sqrt.f64 (pow.f64 x #s(literal 3 binary64))) (pow.f64 y #s(literal 3 binary64)))>
#<alt (*.f64 (sqrt.f64 (pow.f64 x #s(literal 3 binary64))) (pow.f64 y #s(literal 3 binary64)))>
#<alt (*.f64 (sqrt.f64 (pow.f64 x #s(literal 3 binary64))) (pow.f64 y #s(literal 3 binary64)))>
#<alt (*.f64 (sqrt.f64 (pow.f64 x #s(literal 3 binary64))) (pow.f64 y #s(literal 3 binary64)))>
#<alt (*.f64 (sqrt.f64 (pow.f64 x #s(literal 3 binary64))) (pow.f64 y #s(literal 3 binary64)))>
#<alt (*.f64 (sqrt.f64 (pow.f64 x #s(literal 3 binary64))) (pow.f64 y #s(literal 3 binary64)))>
#<alt (*.f64 (sqrt.f64 (pow.f64 x #s(literal 3 binary64))) (pow.f64 y #s(literal 3 binary64)))>
#<alt (*.f64 (sqrt.f64 (pow.f64 x #s(literal 3 binary64))) (pow.f64 y #s(literal 3 binary64)))>
#<alt (*.f64 (sqrt.f64 (pow.f64 x #s(literal 3 binary64))) (pow.f64 y #s(literal 3 binary64)))>
#<alt (*.f64 (sqrt.f64 (pow.f64 x #s(literal 3 binary64))) (pow.f64 y #s(literal 3 binary64)))>
#<alt (*.f64 (sqrt.f64 (pow.f64 x #s(literal 3 binary64))) (pow.f64 y #s(literal 3 binary64)))>
#<alt (*.f64 (sqrt.f64 (pow.f64 x #s(literal 3 binary64))) (pow.f64 y #s(literal 3 binary64)))>
#<alt (*.f64 (sqrt.f64 (pow.f64 x #s(literal 3 binary64))) (*.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64))))>
#<alt (*.f64 (sqrt.f64 (pow.f64 x #s(literal 3 binary64))) (*.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64))))>
#<alt (*.f64 (sqrt.f64 (pow.f64 x #s(literal 3 binary64))) (*.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64))))>
#<alt (*.f64 (sqrt.f64 (pow.f64 x #s(literal 3 binary64))) (*.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64))))>
#<alt (*.f64 (sqrt.f64 x) y)>
#<alt (*.f64 (sqrt.f64 x) y)>
#<alt (*.f64 (sqrt.f64 x) y)>
#<alt (*.f64 (sqrt.f64 x) y)>
#<alt (*.f64 (sqrt.f64 x) y)>
#<alt (*.f64 (sqrt.f64 x) y)>
#<alt (*.f64 (sqrt.f64 x) y)>
#<alt (*.f64 (sqrt.f64 x) y)>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 x) (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 x) (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 x) (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 x) (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))>
#<alt (*.f64 (sqrt.f64 x) y)>
#<alt (*.f64 (sqrt.f64 x) y)>
#<alt (*.f64 (sqrt.f64 x) y)>
#<alt (*.f64 (sqrt.f64 x) y)>
#<alt (*.f64 (sqrt.f64 x) y)>
#<alt (*.f64 (sqrt.f64 x) y)>
#<alt (*.f64 (sqrt.f64 x) y)>
#<alt (*.f64 (sqrt.f64 x) y)>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 x) y))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 x) y))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 x) y))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 x) y))>
#<alt (*.f64 (pow.f64 (*.f64 #s(literal 1 binary64) x) #s(literal 1/6 binary64)) (cbrt.f64 y))>
#<alt (*.f64 (pow.f64 (*.f64 #s(literal 1 binary64) x) #s(literal 1/6 binary64)) (cbrt.f64 y))>
#<alt (*.f64 (pow.f64 (*.f64 #s(literal 1 binary64) x) #s(literal 1/6 binary64)) (cbrt.f64 y))>
#<alt (*.f64 (pow.f64 (*.f64 #s(literal 1 binary64) x) #s(literal 1/6 binary64)) (cbrt.f64 y))>
#<alt (*.f64 (pow.f64 (*.f64 #s(literal 1 binary64) x) #s(literal 1/6 binary64)) (cbrt.f64 y))>
#<alt (*.f64 (pow.f64 (*.f64 #s(literal 1 binary64) x) #s(literal 1/6 binary64)) (cbrt.f64 y))>
#<alt (*.f64 (pow.f64 (*.f64 #s(literal 1 binary64) x) #s(literal 1/6 binary64)) (cbrt.f64 y))>
#<alt (*.f64 (pow.f64 (*.f64 #s(literal 1 binary64) x) #s(literal 1/6 binary64)) (cbrt.f64 y))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 (*.f64 #s(literal 1 binary64) x) #s(literal 1/6 binary64)) (*.f64 (cbrt.f64 y) (cbrt.f64 #s(literal -1 binary64)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 (*.f64 #s(literal 1 binary64) x) #s(literal 1/6 binary64)) (*.f64 (cbrt.f64 y) (cbrt.f64 #s(literal -1 binary64)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 (*.f64 #s(literal 1 binary64) x) #s(literal 1/6 binary64)) (*.f64 (cbrt.f64 y) (cbrt.f64 #s(literal -1 binary64)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 (*.f64 #s(literal 1 binary64) x) #s(literal 1/6 binary64)) (*.f64 (cbrt.f64 y) (cbrt.f64 #s(literal -1 binary64)))))>
#<alt (*.f64 (pow.f64 (*.f64 #s(literal 1 binary64) x) #s(literal 1/6 binary64)) (cbrt.f64 y))>
#<alt (*.f64 (pow.f64 (*.f64 #s(literal 1 binary64) x) #s(literal 1/6 binary64)) (cbrt.f64 y))>
#<alt (*.f64 (pow.f64 (*.f64 #s(literal 1 binary64) x) #s(literal 1/6 binary64)) (cbrt.f64 y))>
#<alt (*.f64 (pow.f64 (*.f64 #s(literal 1 binary64) x) #s(literal 1/6 binary64)) (cbrt.f64 y))>
#<alt (*.f64 (pow.f64 (*.f64 #s(literal 1 binary64) x) #s(literal 1/6 binary64)) (cbrt.f64 y))>
#<alt (*.f64 (pow.f64 (*.f64 #s(literal 1 binary64) x) #s(literal 1/6 binary64)) (cbrt.f64 y))>
#<alt (*.f64 (pow.f64 (*.f64 #s(literal 1 binary64) x) #s(literal 1/6 binary64)) (cbrt.f64 y))>
#<alt (*.f64 (pow.f64 (*.f64 #s(literal 1 binary64) x) #s(literal 1/6 binary64)) (cbrt.f64 y))>
#<alt (*.f64 (pow.f64 (*.f64 #s(literal -1 binary64) x) #s(literal 1/6 binary64)) (cbrt.f64 (*.f64 y (sqrt.f64 #s(literal -1 binary64)))))>
#<alt (*.f64 (pow.f64 (*.f64 #s(literal -1 binary64) x) #s(literal 1/6 binary64)) (cbrt.f64 (*.f64 y (sqrt.f64 #s(literal -1 binary64)))))>
#<alt (*.f64 (pow.f64 (*.f64 #s(literal -1 binary64) x) #s(literal 1/6 binary64)) (cbrt.f64 (*.f64 y (sqrt.f64 #s(literal -1 binary64)))))>
#<alt (*.f64 (pow.f64 (*.f64 #s(literal -1 binary64) x) #s(literal 1/6 binary64)) (cbrt.f64 (*.f64 y (sqrt.f64 #s(literal -1 binary64)))))>
#<alt (*.f64 (sqrt.f64 x) y)>
#<alt (*.f64 (sqrt.f64 x) y)>
#<alt (*.f64 (sqrt.f64 x) y)>
#<alt (*.f64 (sqrt.f64 x) y)>
#<alt (*.f64 (sqrt.f64 x) y)>
#<alt (*.f64 (sqrt.f64 x) y)>
#<alt (*.f64 (sqrt.f64 x) y)>
#<alt (*.f64 (sqrt.f64 x) y)>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 x) (*.f64 y (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 x) (*.f64 y (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 x) (*.f64 y (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 x) (*.f64 y (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64)))))>
#<alt (*.f64 (sqrt.f64 x) y)>
#<alt (*.f64 (sqrt.f64 x) y)>
#<alt (*.f64 (sqrt.f64 x) y)>
#<alt (*.f64 (sqrt.f64 x) y)>
#<alt (*.f64 (sqrt.f64 x) y)>
#<alt (*.f64 (sqrt.f64 x) y)>
#<alt (*.f64 (sqrt.f64 x) y)>
#<alt (*.f64 (sqrt.f64 x) y)>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 x) (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 x) (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 x) (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 x) (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))>
#<alt (*.f64 (pow.f64 (*.f64 #s(literal 1 binary64) x) #s(literal 1/4 binary64)) (sqrt.f64 y))>
#<alt (*.f64 (pow.f64 (*.f64 #s(literal 1 binary64) x) #s(literal 1/4 binary64)) (sqrt.f64 y))>
#<alt (*.f64 (pow.f64 (*.f64 #s(literal 1 binary64) x) #s(literal 1/4 binary64)) (sqrt.f64 y))>
#<alt (*.f64 (pow.f64 (*.f64 #s(literal 1 binary64) x) #s(literal 1/4 binary64)) (sqrt.f64 y))>
#<alt (*.f64 (pow.f64 (*.f64 #s(literal 1 binary64) x) #s(literal 1/4 binary64)) (sqrt.f64 y))>
#<alt (*.f64 (pow.f64 (*.f64 #s(literal 1 binary64) x) #s(literal 1/4 binary64)) (sqrt.f64 y))>
#<alt (*.f64 (pow.f64 (*.f64 #s(literal 1 binary64) x) #s(literal 1/4 binary64)) (sqrt.f64 y))>
#<alt (*.f64 (pow.f64 (*.f64 #s(literal 1 binary64) x) #s(literal 1/4 binary64)) (sqrt.f64 y))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 (*.f64 #s(literal 1 binary64) x) #s(literal 1/4 binary64)) (*.f64 (sqrt.f64 y) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 (*.f64 #s(literal 1 binary64) x) #s(literal 1/4 binary64)) (*.f64 (sqrt.f64 y) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 (*.f64 #s(literal 1 binary64) x) #s(literal 1/4 binary64)) (*.f64 (sqrt.f64 y) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 (*.f64 #s(literal 1 binary64) x) #s(literal 1/4 binary64)) (*.f64 (sqrt.f64 y) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))>
#<alt (*.f64 (pow.f64 (*.f64 #s(literal 1 binary64) x) #s(literal 1/4 binary64)) (sqrt.f64 y))>
#<alt (*.f64 (pow.f64 (*.f64 #s(literal 1 binary64) x) #s(literal 1/4 binary64)) (sqrt.f64 y))>
#<alt (*.f64 (pow.f64 (*.f64 #s(literal 1 binary64) x) #s(literal 1/4 binary64)) (sqrt.f64 y))>
#<alt (*.f64 (pow.f64 (*.f64 #s(literal 1 binary64) x) #s(literal 1/4 binary64)) (sqrt.f64 y))>
#<alt (*.f64 (pow.f64 (*.f64 #s(literal 1 binary64) x) #s(literal 1/4 binary64)) (sqrt.f64 y))>
#<alt (*.f64 (pow.f64 (*.f64 #s(literal 1 binary64) x) #s(literal 1/4 binary64)) (sqrt.f64 y))>
#<alt (*.f64 (pow.f64 (*.f64 #s(literal 1 binary64) x) #s(literal 1/4 binary64)) (sqrt.f64 y))>
#<alt (*.f64 (pow.f64 (*.f64 #s(literal 1 binary64) x) #s(literal 1/4 binary64)) (sqrt.f64 y))>
#<alt (*.f64 (pow.f64 (*.f64 #s(literal -1 binary64) x) #s(literal 1/4 binary64)) (sqrt.f64 (*.f64 y (sqrt.f64 #s(literal -1 binary64)))))>
#<alt (*.f64 (pow.f64 (*.f64 #s(literal -1 binary64) x) #s(literal 1/4 binary64)) (sqrt.f64 (*.f64 y (sqrt.f64 #s(literal -1 binary64)))))>
#<alt (*.f64 (pow.f64 (*.f64 #s(literal -1 binary64) x) #s(literal 1/4 binary64)) (sqrt.f64 (*.f64 y (sqrt.f64 #s(literal -1 binary64)))))>
#<alt (*.f64 (pow.f64 (*.f64 #s(literal -1 binary64) x) #s(literal 1/4 binary64)) (sqrt.f64 (*.f64 y (sqrt.f64 #s(literal -1 binary64)))))>
#<alt (*.f64 (sqrt.f64 x) y)>
#<alt (*.f64 (sqrt.f64 x) y)>
#<alt (*.f64 (sqrt.f64 x) y)>
#<alt (*.f64 (sqrt.f64 x) y)>
#<alt (*.f64 (sqrt.f64 x) y)>
#<alt (*.f64 (sqrt.f64 x) y)>
#<alt (*.f64 (sqrt.f64 x) y)>
#<alt (*.f64 (sqrt.f64 x) y)>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 x) (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 x) (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 x) (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 x) (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))>
#<alt (*.f64 (sqrt.f64 x) y)>
#<alt (*.f64 (sqrt.f64 x) y)>
#<alt (*.f64 (sqrt.f64 x) y)>
#<alt (*.f64 (sqrt.f64 x) y)>
#<alt (*.f64 (sqrt.f64 x) y)>
#<alt (*.f64 (sqrt.f64 x) y)>
#<alt (*.f64 (sqrt.f64 x) y)>
#<alt (*.f64 (sqrt.f64 x) y)>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 x) (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 x) (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 x) (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 x) (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))>
Calls

48 calls:

TimeVariablePointExpression
31.0ms
y
@0
(cbrt (* y (sqrt x)))
24.0ms
x
@0
(cbrt (* y (sqrt x)))
6.0ms
x
@inf
(cbrt (* y (sqrt x)))
3.0ms
y
@-inf
(cbrt (pow (* y (sqrt x)) 3))
2.0ms
x
@-inf
(cbrt (* y (sqrt x)))

rewrite147.0ms (3.1%)

Algorithm
batch-egg-rewrite
Rules
652×log1p-expm1-u
652×expm1-log1p-u
435×log-prod
411×pow-prod-down
307×pow-unpow
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
021152
1270152
22485152
Stop Event
node limit
Counts
8 → 430
Calls
Call 1
Inputs
(cbrt.f64 (pow.f64 (*.f64 y (sqrt.f64 x)) #s(literal 3 binary64)))
(pow.f64 (*.f64 y (sqrt.f64 x)) #s(literal 3 binary64))
(sqrt.f64 (*.f64 x (pow.f64 y #s(literal 2 binary64))))
(*.f64 x (pow.f64 y #s(literal 2 binary64)))
(cbrt.f64 (*.f64 y (sqrt.f64 x)))
(pow.f64 (cbrt.f64 (*.f64 y (sqrt.f64 x))) #s(literal 3 binary64))
(sqrt.f64 (*.f64 y (sqrt.f64 x)))
(pow.f64 (sqrt.f64 (*.f64 y (sqrt.f64 x))) #s(literal 2 binary64))
Outputs
(+.f64 #s(literal 0 binary64) (*.f64 y (sqrt.f64 x)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 y) (sqrt.f64 x))) #s(literal 2 binary64))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 y) (sqrt.f64 x)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 y) (sqrt.f64 x)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 y) (sqrt.f64 x)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 y (sqrt.f64 x)))) #s(literal 1 binary64))
(*.f64 y (sqrt.f64 x))
(*.f64 (sqrt.f64 x) y)
(*.f64 (*.f64 y (sqrt.f64 x)) #s(literal 1 binary64))
(*.f64 (*.f64 y (sqrt.f64 x)) (log.f64 (exp.f64 #s(literal 1 binary64))))
(*.f64 (cbrt.f64 (*.f64 y (sqrt.f64 x))) (cbrt.f64 (*.f64 x (pow.f64 y #s(literal 2 binary64)))))
(*.f64 (sqrt.f64 (*.f64 y (sqrt.f64 x))) (sqrt.f64 (*.f64 y (sqrt.f64 x))))
(*.f64 (cbrt.f64 (*.f64 x (pow.f64 y #s(literal 2 binary64)))) (cbrt.f64 (*.f64 y (sqrt.f64 x))))
(*.f64 #s(literal 1 binary64) (*.f64 y (sqrt.f64 x)))
(*.f64 (cbrt.f64 y) (*.f64 (pow.f64 x #s(literal 1/6 binary64)) (cbrt.f64 (*.f64 x (pow.f64 y #s(literal 2 binary64))))))
(*.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (*.f64 (cbrt.f64 y) (sqrt.f64 x)))
(*.f64 (cbrt.f64 (cbrt.f64 (*.f64 x (pow.f64 y #s(literal 2 binary64))))) (*.f64 (cbrt.f64 (cbrt.f64 (*.f64 y (sqrt.f64 x)))) (cbrt.f64 (*.f64 x (pow.f64 y #s(literal 2 binary64))))))
(*.f64 (cbrt.f64 x) (*.f64 (pow.f64 x #s(literal 1/6 binary64)) y))
(*.f64 (sqrt.f64 y) (pow.f64 (*.f64 y x) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 y) (pow.f64 (*.f64 x (*.f64 x (pow.f64 y #s(literal 2 binary64)))) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 x #s(literal 1/4 binary64)) (*.f64 (pow.f64 x #s(literal 1/4 binary64)) y))
(*.f64 (pow.f64 (*.f64 y (sqrt.f64 x)) #s(literal 1/4 binary64)) (pow.f64 (*.f64 y (sqrt.f64 x)) #s(literal 3/4 binary64)))
(*.f64 (pow.f64 (*.f64 y (sqrt.f64 x)) #s(literal 1/6 binary64)) (*.f64 (pow.f64 (*.f64 y (sqrt.f64 x)) #s(literal 1/6 binary64)) (cbrt.f64 (*.f64 x (pow.f64 y #s(literal 2 binary64))))))
(*.f64 (pow.f64 (*.f64 y (sqrt.f64 x)) #s(literal 3/4 binary64)) (pow.f64 (*.f64 y (sqrt.f64 x)) #s(literal 1/4 binary64)))
(*.f64 (*.f64 y (cbrt.f64 x)) (pow.f64 x #s(literal 1/6 binary64)))
(*.f64 (*.f64 y (pow.f64 x #s(literal 1/4 binary64))) (pow.f64 x #s(literal 1/4 binary64)))
(*.f64 (*.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (cbrt.f64 y))
(*.f64 (pow.f64 (*.f64 x y) #s(literal 1/2 binary64)) (sqrt.f64 y))
(*.f64 (*.f64 (sqrt.f64 (*.f64 y (sqrt.f64 x))) (cbrt.f64 (*.f64 y (sqrt.f64 x)))) (pow.f64 (*.f64 y (sqrt.f64 x)) #s(literal 1/6 binary64)))
(*.f64 (pow.f64 (*.f64 (*.f64 y (sqrt.f64 x)) y) #s(literal 1/2 binary64)) (pow.f64 x #s(literal 1/4 binary64)))
(*.f64 (*.f64 (cbrt.f64 (*.f64 x (pow.f64 y #s(literal 2 binary64)))) #s(literal 1 binary64)) (cbrt.f64 (*.f64 y (sqrt.f64 x))))
(*.f64 (*.f64 (cbrt.f64 (*.f64 x (pow.f64 y #s(literal 2 binary64)))) (cbrt.f64 y)) (pow.f64 x #s(literal 1/6 binary64)))
(*.f64 (*.f64 (cbrt.f64 (*.f64 x (pow.f64 y #s(literal 2 binary64)))) (cbrt.f64 (cbrt.f64 (*.f64 x (pow.f64 y #s(literal 2 binary64)))))) (cbrt.f64 (cbrt.f64 (*.f64 y (sqrt.f64 x)))))
(*.f64 (*.f64 (cbrt.f64 (*.f64 x (pow.f64 y #s(literal 2 binary64)))) (pow.f64 (*.f64 y (sqrt.f64 x)) #s(literal 1/6 binary64))) (pow.f64 (*.f64 y (sqrt.f64 x)) #s(literal 1/6 binary64)))
(pow.f64 (*.f64 y (sqrt.f64 x)) #s(literal 1 binary64))
(pow.f64 (pow.f64 (*.f64 y (sqrt.f64 x)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (cbrt.f64 (*.f64 y (sqrt.f64 x))) #s(literal 3 binary64))
(pow.f64 (sqrt.f64 (*.f64 y (sqrt.f64 x))) #s(literal 2 binary64))
(pow.f64 (cbrt.f64 (*.f64 x (pow.f64 y #s(literal 2 binary64)))) #s(literal 3/2 binary64))
(pow.f64 (*.f64 x (pow.f64 y #s(literal 2 binary64))) #s(literal 1/2 binary64))
(pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 y (sqrt.f64 x)))) #s(literal 9 binary64))
(pow.f64 (pow.f64 (*.f64 y (sqrt.f64 x)) #s(literal 6 binary64)) #s(literal 1/6 binary64))
(pow.f64 (pow.f64 (*.f64 y (sqrt.f64 x)) #s(literal 9 binary64)) #s(literal 1/9 binary64))
(pow.f64 (pow.f64 (*.f64 y (sqrt.f64 x)) #s(literal 4 binary64)) #s(literal 1/4 binary64))
(pow.f64 (pow.f64 (*.f64 y (sqrt.f64 x)) #s(literal 1/4 binary64)) #s(literal 4 binary64))
(pow.f64 (pow.f64 (*.f64 y (sqrt.f64 x)) #s(literal 1/6 binary64)) #s(literal 6 binary64))
(pow.f64 (pow.f64 (*.f64 y (sqrt.f64 x)) #s(literal 3/2 binary64)) #s(literal 2/3 binary64))
(sqrt.f64 (*.f64 x (pow.f64 y #s(literal 2 binary64))))
(fabs.f64 (*.f64 y (sqrt.f64 x)))
(log.f64 (pow.f64 (exp.f64 y) (sqrt.f64 x)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 y (sqrt.f64 x)))))
(expm1.f64 (log1p.f64 (*.f64 y (sqrt.f64 x))))
(log1p.f64 (expm1.f64 (*.f64 y (sqrt.f64 x))))
(exp.f64 (log.f64 (*.f64 y (sqrt.f64 x))))
(exp.f64 (*.f64 (fma.f64 #s(literal 2 binary64) (log.f64 y) (log.f64 x)) #s(literal 1/2 binary64)))
(exp.f64 (*.f64 (log.f64 (*.f64 y (sqrt.f64 x))) #s(literal 1 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 3 binary64) (log.f64 (*.f64 y (sqrt.f64 x)))) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 2/3 binary64) (log.f64 (*.f64 y (sqrt.f64 x)))) #s(literal 3/2 binary64)))
(exp.f64 (*.f64 (*.f64 (fma.f64 #s(literal 2 binary64) (log.f64 y) (log.f64 x)) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 y (sqrt.f64 x))) #s(literal 1 binary64)) #s(literal 1 binary64)))
(exp.f64 (*.f64 (*.f64 (*.f64 #s(literal 3 binary64) (log.f64 (*.f64 y (sqrt.f64 x)))) #s(literal 1/3 binary64)) #s(literal 1 binary64)))
(exp.f64 (*.f64 (*.f64 (*.f64 #s(literal 3 binary64) (log.f64 (*.f64 y (sqrt.f64 x)))) #s(literal 1 binary64)) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 y (sqrt.f64 x))) #s(literal 1/3 binary64)) #s(literal 3 binary64)))
(exp.f64 (*.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 y (sqrt.f64 x)))) #s(literal 1 binary64)) #s(literal 3 binary64)))
(exp.f64 (*.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 y (sqrt.f64 x)))) #s(literal 3/2 binary64)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 y (sqrt.f64 x))) #s(literal 1/2 binary64)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 y (sqrt.f64 x)))) #s(literal 1 binary64)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (*.f64 (fma.f64 #s(literal 2 binary64) (log.f64 y) (log.f64 x)) #s(literal 1 binary64)) #s(literal 1/2 binary64)))
(+.f64 #s(literal 0 binary64) (pow.f64 (*.f64 y (sqrt.f64 x)) #s(literal 3 binary64)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (pow.f64 (*.f64 y (sqrt.f64 x)) #s(literal 3 binary64)))) #s(literal 2 binary64))) (log.f64 (cbrt.f64 (exp.f64 (pow.f64 (*.f64 y (sqrt.f64 x)) #s(literal 3 binary64))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (*.f64 y (sqrt.f64 x)) #s(literal 3 binary64))))) (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (*.f64 y (sqrt.f64 x)) #s(literal 3 binary64))))))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (*.f64 y (sqrt.f64 x)) #s(literal 3 binary64)))) #s(literal 1 binary64))
(*.f64 y (*.f64 (sqrt.f64 x) (*.f64 x (pow.f64 y #s(literal 2 binary64)))))
(*.f64 x (*.f64 (pow.f64 y #s(literal 2 binary64)) (*.f64 y (sqrt.f64 x))))
(*.f64 (sqrt.f64 x) (*.f64 y (*.f64 x (pow.f64 y #s(literal 2 binary64)))))
(*.f64 (*.f64 y (sqrt.f64 x)) (*.f64 x (pow.f64 y #s(literal 2 binary64))))
(*.f64 (pow.f64 (*.f64 y (sqrt.f64 x)) #s(literal 3 binary64)) #s(literal 1 binary64))
(*.f64 (pow.f64 (*.f64 y (sqrt.f64 x)) #s(literal 3 binary64)) (log.f64 (exp.f64 #s(literal 1 binary64))))
(*.f64 (pow.f64 y #s(literal 2 binary64)) (*.f64 x (*.f64 y (sqrt.f64 x))))
(*.f64 (cbrt.f64 (*.f64 y (sqrt.f64 x))) (pow.f64 (pow.f64 (cbrt.f64 (*.f64 y (sqrt.f64 x))) #s(literal 4 binary64)) #s(literal 2 binary64)))
(*.f64 (sqrt.f64 (*.f64 y (sqrt.f64 x))) (*.f64 (sqrt.f64 (*.f64 y (sqrt.f64 x))) (*.f64 x (pow.f64 y #s(literal 2 binary64)))))
(*.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3/2 binary64)))
(*.f64 (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 y #s(literal 3 binary64)))
(*.f64 (cbrt.f64 (*.f64 x (pow.f64 y #s(literal 2 binary64)))) (*.f64 (cbrt.f64 (*.f64 y (sqrt.f64 x))) (*.f64 x (pow.f64 y #s(literal 2 binary64)))))
(*.f64 (*.f64 x (pow.f64 y #s(literal 2 binary64))) (*.f64 y (sqrt.f64 x)))
(*.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y (sqrt.f64 x)) #s(literal 3 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 y (sqrt.f64 x))) #s(literal 4 binary64)) (*.f64 (cbrt.f64 (*.f64 x (pow.f64 y #s(literal 2 binary64)))) (*.f64 y (sqrt.f64 x))))
(*.f64 (pow.f64 (*.f64 y (sqrt.f64 x)) #s(literal 3/2 binary64)) (pow.f64 (*.f64 y (sqrt.f64 x)) #s(literal 3/2 binary64)))
(*.f64 (*.f64 (*.f64 x (pow.f64 y #s(literal 2 binary64))) (sqrt.f64 x)) y)
(*.f64 (*.f64 (*.f64 x (pow.f64 y #s(literal 2 binary64))) y) (sqrt.f64 x))
(*.f64 (*.f64 (*.f64 x (pow.f64 y #s(literal 2 binary64))) (cbrt.f64 (*.f64 y (sqrt.f64 x)))) (cbrt.f64 (*.f64 x (pow.f64 y #s(literal 2 binary64)))))
(*.f64 (*.f64 (*.f64 x (pow.f64 y #s(literal 2 binary64))) (sqrt.f64 (*.f64 y (sqrt.f64 x)))) (sqrt.f64 (*.f64 y (sqrt.f64 x))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (*.f64 y (sqrt.f64 x))) #s(literal 4 binary64)) #s(literal 2 binary64)) (cbrt.f64 (*.f64 y (sqrt.f64 x))))
(sqrt.f64 (pow.f64 (*.f64 y (sqrt.f64 x)) #s(literal 6 binary64)))
(log.f64 (exp.f64 (pow.f64 (*.f64 y (sqrt.f64 x)) #s(literal 3 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (pow.f64 (*.f64 y (sqrt.f64 x)) #s(literal 3 binary64)))))
(cbrt.f64 (pow.f64 (*.f64 y (sqrt.f64 x)) #s(literal 9 binary64)))
(expm1.f64 (log1p.f64 (pow.f64 (*.f64 y (sqrt.f64 x)) #s(literal 3 binary64))))
(log1p.f64 (expm1.f64 (pow.f64 (*.f64 y (sqrt.f64 x)) #s(literal 3 binary64))))
(exp.f64 (*.f64 #s(literal 3 binary64) (log.f64 (*.f64 y (sqrt.f64 x)))))
(exp.f64 (*.f64 (*.f64 #s(literal 3 binary64) (log.f64 (*.f64 y (sqrt.f64 x)))) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 y (sqrt.f64 x)))) #s(literal 9 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 y (sqrt.f64 x)))) #s(literal 6 binary64)))
(exp.f64 (*.f64 (fma.f64 #s(literal 2 binary64) (log.f64 y) (log.f64 x)) #s(literal 3/2 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (*.f64 y (sqrt.f64 x)) #s(literal 9 binary64))) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 3/2 binary64) (log.f64 (*.f64 y (sqrt.f64 x)))) #s(literal 2 binary64)))
(exp.f64 (*.f64 (*.f64 (fma.f64 #s(literal 2 binary64) (log.f64 y) (log.f64 x)) #s(literal 1/2 binary64)) #s(literal 3 binary64)))
(exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 y (sqrt.f64 x))) #s(literal 1 binary64)) #s(literal 3 binary64)))
(exp.f64 (*.f64 (*.f64 (*.f64 #s(literal 3 binary64) (log.f64 (*.f64 y (sqrt.f64 x)))) #s(literal 1/3 binary64)) #s(literal 3 binary64)))
(exp.f64 (*.f64 (*.f64 (*.f64 #s(literal 3 binary64) (log.f64 (*.f64 y (sqrt.f64 x)))) #s(literal 1 binary64)) #s(literal 1 binary64)))
(exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 y (sqrt.f64 x))) #s(literal 1/3 binary64)) #s(literal 9 binary64)))
(exp.f64 (*.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 y (sqrt.f64 x)))) #s(literal 1 binary64)) #s(literal 9 binary64)))
(exp.f64 (*.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 y (sqrt.f64 x)))) #s(literal 3/2 binary64)) #s(literal 6 binary64)))
(exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 y (sqrt.f64 x))) #s(literal 1/2 binary64)) #s(literal 6 binary64)))
(exp.f64 (*.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 y (sqrt.f64 x)))) #s(literal 1 binary64)) #s(literal 6 binary64)))
(exp.f64 (*.f64 (*.f64 (fma.f64 #s(literal 2 binary64) (log.f64 y) (log.f64 x)) #s(literal 1 binary64)) #s(literal 3/2 binary64)))
(exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 y (sqrt.f64 x))) #s(literal 3/2 binary64)) #s(literal 2 binary64)))
(+.f64 #s(literal 0 binary64) (*.f64 y (sqrt.f64 x)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 y) (sqrt.f64 x))) #s(literal 2 binary64))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 y) (sqrt.f64 x)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 y) (sqrt.f64 x)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 y) (sqrt.f64 x)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 y (sqrt.f64 x)))) #s(literal 1 binary64))
(*.f64 y (sqrt.f64 x))
(*.f64 (sqrt.f64 x) y)
(*.f64 (*.f64 y (sqrt.f64 x)) #s(literal 1 binary64))
(*.f64 (*.f64 y (sqrt.f64 x)) (log.f64 (exp.f64 #s(literal 1 binary64))))
(*.f64 (cbrt.f64 (*.f64 y (sqrt.f64 x))) (cbrt.f64 (*.f64 x (pow.f64 y #s(literal 2 binary64)))))
(*.f64 (sqrt.f64 (*.f64 y (sqrt.f64 x))) (sqrt.f64 (*.f64 y (sqrt.f64 x))))
(*.f64 (cbrt.f64 (*.f64 x (pow.f64 y #s(literal 2 binary64)))) (cbrt.f64 (*.f64 y (sqrt.f64 x))))
(*.f64 #s(literal 1 binary64) (*.f64 y (sqrt.f64 x)))
(*.f64 (cbrt.f64 y) (*.f64 (pow.f64 x #s(literal 1/6 binary64)) (cbrt.f64 (*.f64 x (pow.f64 y #s(literal 2 binary64))))))
(*.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (*.f64 (cbrt.f64 y) (sqrt.f64 x)))
(*.f64 (cbrt.f64 (cbrt.f64 (*.f64 x (pow.f64 y #s(literal 2 binary64))))) (*.f64 (cbrt.f64 (cbrt.f64 (*.f64 y (sqrt.f64 x)))) (cbrt.f64 (*.f64 x (pow.f64 y #s(literal 2 binary64))))))
(*.f64 (cbrt.f64 x) (*.f64 (pow.f64 x #s(literal 1/6 binary64)) y))
(*.f64 (sqrt.f64 y) (pow.f64 (*.f64 y x) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 y) (pow.f64 (*.f64 x (*.f64 x (pow.f64 y #s(literal 2 binary64)))) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 x #s(literal 1/4 binary64)) (*.f64 (pow.f64 x #s(literal 1/4 binary64)) y))
(*.f64 (pow.f64 (*.f64 y (sqrt.f64 x)) #s(literal 1/4 binary64)) (pow.f64 (*.f64 y (sqrt.f64 x)) #s(literal 3/4 binary64)))
(*.f64 (pow.f64 (*.f64 y (sqrt.f64 x)) #s(literal 1/6 binary64)) (*.f64 (pow.f64 (*.f64 y (sqrt.f64 x)) #s(literal 1/6 binary64)) (cbrt.f64 (*.f64 x (pow.f64 y #s(literal 2 binary64))))))
(*.f64 (pow.f64 (*.f64 y (sqrt.f64 x)) #s(literal 3/4 binary64)) (pow.f64 (*.f64 y (sqrt.f64 x)) #s(literal 1/4 binary64)))
(*.f64 (*.f64 y (cbrt.f64 x)) (pow.f64 x #s(literal 1/6 binary64)))
(*.f64 (*.f64 y (pow.f64 x #s(literal 1/4 binary64))) (pow.f64 x #s(literal 1/4 binary64)))
(*.f64 (*.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (cbrt.f64 y))
(*.f64 (pow.f64 (*.f64 x y) #s(literal 1/2 binary64)) (sqrt.f64 y))
(*.f64 (*.f64 (sqrt.f64 (*.f64 y (sqrt.f64 x))) (cbrt.f64 (*.f64 y (sqrt.f64 x)))) (pow.f64 (*.f64 y (sqrt.f64 x)) #s(literal 1/6 binary64)))
(*.f64 (pow.f64 (*.f64 (*.f64 y (sqrt.f64 x)) y) #s(literal 1/2 binary64)) (pow.f64 x #s(literal 1/4 binary64)))
(*.f64 (*.f64 (cbrt.f64 (*.f64 x (pow.f64 y #s(literal 2 binary64)))) #s(literal 1 binary64)) (cbrt.f64 (*.f64 y (sqrt.f64 x))))
(*.f64 (*.f64 (cbrt.f64 (*.f64 x (pow.f64 y #s(literal 2 binary64)))) (cbrt.f64 y)) (pow.f64 x #s(literal 1/6 binary64)))
(*.f64 (*.f64 (cbrt.f64 (*.f64 x (pow.f64 y #s(literal 2 binary64)))) (cbrt.f64 (cbrt.f64 (*.f64 x (pow.f64 y #s(literal 2 binary64)))))) (cbrt.f64 (cbrt.f64 (*.f64 y (sqrt.f64 x)))))
(*.f64 (*.f64 (cbrt.f64 (*.f64 x (pow.f64 y #s(literal 2 binary64)))) (pow.f64 (*.f64 y (sqrt.f64 x)) #s(literal 1/6 binary64))) (pow.f64 (*.f64 y (sqrt.f64 x)) #s(literal 1/6 binary64)))
(pow.f64 (*.f64 y (sqrt.f64 x)) #s(literal 1 binary64))
(pow.f64 (pow.f64 (*.f64 y (sqrt.f64 x)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (cbrt.f64 (*.f64 y (sqrt.f64 x))) #s(literal 3 binary64))
(pow.f64 (sqrt.f64 (*.f64 y (sqrt.f64 x))) #s(literal 2 binary64))
(pow.f64 (cbrt.f64 (*.f64 x (pow.f64 y #s(literal 2 binary64)))) #s(literal 3/2 binary64))
(pow.f64 (*.f64 x (pow.f64 y #s(literal 2 binary64))) #s(literal 1/2 binary64))
(pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 y (sqrt.f64 x)))) #s(literal 9 binary64))
(pow.f64 (pow.f64 (*.f64 y (sqrt.f64 x)) #s(literal 6 binary64)) #s(literal 1/6 binary64))
(pow.f64 (pow.f64 (*.f64 y (sqrt.f64 x)) #s(literal 9 binary64)) #s(literal 1/9 binary64))
(pow.f64 (pow.f64 (*.f64 y (sqrt.f64 x)) #s(literal 4 binary64)) #s(literal 1/4 binary64))
(pow.f64 (pow.f64 (*.f64 y (sqrt.f64 x)) #s(literal 1/4 binary64)) #s(literal 4 binary64))
(pow.f64 (pow.f64 (*.f64 y (sqrt.f64 x)) #s(literal 1/6 binary64)) #s(literal 6 binary64))
(pow.f64 (pow.f64 (*.f64 y (sqrt.f64 x)) #s(literal 3/2 binary64)) #s(literal 2/3 binary64))
(fabs.f64 (*.f64 y (sqrt.f64 x)))
(log.f64 (pow.f64 (exp.f64 y) (sqrt.f64 x)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 y (sqrt.f64 x)))))
(cbrt.f64 (pow.f64 (*.f64 y (sqrt.f64 x)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 y (sqrt.f64 x))))
(log1p.f64 (expm1.f64 (*.f64 y (sqrt.f64 x))))
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(*.f64 (pow.f64 (*.f64 y (sqrt.f64 x)) #s(literal 1/6 binary64)) (cbrt.f64 (*.f64 y (sqrt.f64 x))))
(pow.f64 (*.f64 y (sqrt.f64 x)) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (*.f64 y (sqrt.f64 x)) #s(literal 3 binary64)) #s(literal 1/6 binary64))
(pow.f64 (cbrt.f64 (*.f64 y (sqrt.f64 x))) #s(literal 3/2 binary64))
(pow.f64 (sqrt.f64 (*.f64 y (sqrt.f64 x))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 x (pow.f64 y #s(literal 2 binary64)))) #s(literal 3/4 binary64))
(pow.f64 (*.f64 x (pow.f64 y #s(literal 2 binary64))) #s(literal 1/4 binary64))
(pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 y (sqrt.f64 x)))) #s(literal 9/2 binary64))
(pow.f64 (pow.f64 (*.f64 y (sqrt.f64 x)) #s(literal 6 binary64)) #s(literal 1/12 binary64))
(pow.f64 (pow.f64 (*.f64 y (sqrt.f64 x)) #s(literal 9 binary64)) #s(literal 1/18 binary64))
(pow.f64 (pow.f64 (*.f64 y (sqrt.f64 x)) #s(literal 4 binary64)) #s(literal 1/8 binary64))
(pow.f64 (pow.f64 (*.f64 y (sqrt.f64 x)) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(pow.f64 (pow.f64 (*.f64 y (sqrt.f64 x)) #s(literal 1/6 binary64)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 y (sqrt.f64 x)) #s(literal 3/2 binary64)) #s(literal 1/3 binary64))
(fabs.f64 (sqrt.f64 (*.f64 y (sqrt.f64 x))))
(log.f64 (exp.f64 (sqrt.f64 (*.f64 y (sqrt.f64 x)))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (sqrt.f64 (*.f64 y (sqrt.f64 x))))))
(cbrt.f64 (pow.f64 (*.f64 y (sqrt.f64 x)) #s(literal 3/2 binary64)))
(expm1.f64 (log1p.f64 (sqrt.f64 (*.f64 y (sqrt.f64 x)))))
(log1p.f64 (expm1.f64 (sqrt.f64 (*.f64 y (sqrt.f64 x)))))
(exp.f64 (log.f64 (sqrt.f64 (*.f64 y (sqrt.f64 x)))))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 y (sqrt.f64 x)))) #s(literal 3/2 binary64)))
(exp.f64 (*.f64 (log.f64 (*.f64 y (sqrt.f64 x))) #s(literal 1/2 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 y (sqrt.f64 x)))) #s(literal 1 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 3 binary64) (log.f64 (*.f64 y (sqrt.f64 x)))) #s(literal 1/6 binary64)))
(exp.f64 (*.f64 (fma.f64 #s(literal 2 binary64) (log.f64 y) (log.f64 x)) #s(literal 1/4 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (log.f64 (*.f64 y (sqrt.f64 x)))) #s(literal 2 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 1/6 binary64) (log.f64 (*.f64 y (sqrt.f64 x)))) #s(literal 3 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 3/2 binary64) (log.f64 (*.f64 y (sqrt.f64 x)))) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (*.f64 (fma.f64 #s(literal 2 binary64) (log.f64 y) (log.f64 x)) #s(literal 1/2 binary64)) #s(literal 1/2 binary64)))
(exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 y (sqrt.f64 x))) #s(literal 1 binary64)) #s(literal 1/2 binary64)))
(exp.f64 (*.f64 (*.f64 (*.f64 #s(literal 3 binary64) (log.f64 (*.f64 y (sqrt.f64 x)))) #s(literal 1/3 binary64)) #s(literal 1/2 binary64)))
(exp.f64 (*.f64 (*.f64 (*.f64 #s(literal 3 binary64) (log.f64 (*.f64 y (sqrt.f64 x)))) #s(literal 1 binary64)) #s(literal 1/6 binary64)))
(exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 y (sqrt.f64 x))) #s(literal 1/3 binary64)) #s(literal 3/2 binary64)))
(exp.f64 (*.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 y (sqrt.f64 x)))) #s(literal 1 binary64)) #s(literal 3/2 binary64)))
(exp.f64 (*.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 y (sqrt.f64 x)))) #s(literal 3/2 binary64)) #s(literal 1 binary64)))
(exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 y (sqrt.f64 x))) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(exp.f64 (*.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 y (sqrt.f64 x)))) #s(literal 1 binary64)) #s(literal 1 binary64)))
(exp.f64 (*.f64 (*.f64 (fma.f64 #s(literal 2 binary64) (log.f64 y) (log.f64 x)) #s(literal 1 binary64)) #s(literal 1/4 binary64)))
(exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 y (sqrt.f64 x))) #s(literal 3/2 binary64)) #s(literal 1/3 binary64)))
(+.f64 #s(literal 0 binary64) (*.f64 y (sqrt.f64 x)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 y) (sqrt.f64 x))) #s(literal 2 binary64))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 y) (sqrt.f64 x)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 y) (sqrt.f64 x)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 y) (sqrt.f64 x)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 y (sqrt.f64 x)))) #s(literal 1 binary64))
(*.f64 y (sqrt.f64 x))
(*.f64 (sqrt.f64 x) y)
(*.f64 (*.f64 y (sqrt.f64 x)) #s(literal 1 binary64))
(*.f64 (*.f64 y (sqrt.f64 x)) (log.f64 (exp.f64 #s(literal 1 binary64))))
(*.f64 (cbrt.f64 (*.f64 y (sqrt.f64 x))) (cbrt.f64 (*.f64 x (pow.f64 y #s(literal 2 binary64)))))
(*.f64 (sqrt.f64 (*.f64 y (sqrt.f64 x))) (sqrt.f64 (*.f64 y (sqrt.f64 x))))
(*.f64 (cbrt.f64 (*.f64 x (pow.f64 y #s(literal 2 binary64)))) (cbrt.f64 (*.f64 y (sqrt.f64 x))))
(*.f64 #s(literal 1 binary64) (*.f64 y (sqrt.f64 x)))
(*.f64 (cbrt.f64 y) (*.f64 (pow.f64 x #s(literal 1/6 binary64)) (cbrt.f64 (*.f64 x (pow.f64 y #s(literal 2 binary64))))))
(*.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (*.f64 (cbrt.f64 y) (sqrt.f64 x)))
(*.f64 (cbrt.f64 (cbrt.f64 (*.f64 x (pow.f64 y #s(literal 2 binary64))))) (*.f64 (cbrt.f64 (cbrt.f64 (*.f64 y (sqrt.f64 x)))) (cbrt.f64 (*.f64 x (pow.f64 y #s(literal 2 binary64))))))
(*.f64 (cbrt.f64 x) (*.f64 (pow.f64 x #s(literal 1/6 binary64)) y))
(*.f64 (sqrt.f64 y) (pow.f64 (*.f64 y x) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 y) (pow.f64 (*.f64 x (*.f64 x (pow.f64 y #s(literal 2 binary64)))) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 x #s(literal 1/4 binary64)) (*.f64 (pow.f64 x #s(literal 1/4 binary64)) y))
(*.f64 (pow.f64 (*.f64 y (sqrt.f64 x)) #s(literal 1/4 binary64)) (pow.f64 (*.f64 y (sqrt.f64 x)) #s(literal 3/4 binary64)))
(*.f64 (pow.f64 (*.f64 y (sqrt.f64 x)) #s(literal 1/6 binary64)) (*.f64 (pow.f64 (*.f64 y (sqrt.f64 x)) #s(literal 1/6 binary64)) (cbrt.f64 (*.f64 x (pow.f64 y #s(literal 2 binary64))))))
(*.f64 (pow.f64 (*.f64 y (sqrt.f64 x)) #s(literal 3/4 binary64)) (pow.f64 (*.f64 y (sqrt.f64 x)) #s(literal 1/4 binary64)))
(*.f64 (*.f64 y (cbrt.f64 x)) (pow.f64 x #s(literal 1/6 binary64)))
(*.f64 (*.f64 y (pow.f64 x #s(literal 1/4 binary64))) (pow.f64 x #s(literal 1/4 binary64)))
(*.f64 (*.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (cbrt.f64 y))
(*.f64 (pow.f64 (*.f64 x y) #s(literal 1/2 binary64)) (sqrt.f64 y))
(*.f64 (*.f64 (sqrt.f64 (*.f64 y (sqrt.f64 x))) (cbrt.f64 (*.f64 y (sqrt.f64 x)))) (pow.f64 (*.f64 y (sqrt.f64 x)) #s(literal 1/6 binary64)))
(*.f64 (pow.f64 (*.f64 (*.f64 y (sqrt.f64 x)) y) #s(literal 1/2 binary64)) (pow.f64 x #s(literal 1/4 binary64)))
(*.f64 (*.f64 (cbrt.f64 (*.f64 x (pow.f64 y #s(literal 2 binary64)))) #s(literal 1 binary64)) (cbrt.f64 (*.f64 y (sqrt.f64 x))))
(*.f64 (*.f64 (cbrt.f64 (*.f64 x (pow.f64 y #s(literal 2 binary64)))) (cbrt.f64 y)) (pow.f64 x #s(literal 1/6 binary64)))
(*.f64 (*.f64 (cbrt.f64 (*.f64 x (pow.f64 y #s(literal 2 binary64)))) (cbrt.f64 (cbrt.f64 (*.f64 x (pow.f64 y #s(literal 2 binary64)))))) (cbrt.f64 (cbrt.f64 (*.f64 y (sqrt.f64 x)))))
(*.f64 (*.f64 (cbrt.f64 (*.f64 x (pow.f64 y #s(literal 2 binary64)))) (pow.f64 (*.f64 y (sqrt.f64 x)) #s(literal 1/6 binary64))) (pow.f64 (*.f64 y (sqrt.f64 x)) #s(literal 1/6 binary64)))
(sqrt.f64 (*.f64 x (pow.f64 y #s(literal 2 binary64))))
(fabs.f64 (*.f64 y (sqrt.f64 x)))
(log.f64 (pow.f64 (exp.f64 y) (sqrt.f64 x)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 y (sqrt.f64 x)))))
(cbrt.f64 (pow.f64 (*.f64 y (sqrt.f64 x)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 y (sqrt.f64 x))))
(log1p.f64 (expm1.f64 (*.f64 y (sqrt.f64 x))))
(exp.f64 (log.f64 (*.f64 y (sqrt.f64 x))))
(exp.f64 (*.f64 (fma.f64 #s(literal 2 binary64) (log.f64 y) (log.f64 x)) #s(literal 1/2 binary64)))
(exp.f64 (*.f64 (log.f64 (*.f64 y (sqrt.f64 x))) #s(literal 1 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 3 binary64) (log.f64 (*.f64 y (sqrt.f64 x)))) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 2/3 binary64) (log.f64 (*.f64 y (sqrt.f64 x)))) #s(literal 3/2 binary64)))
(exp.f64 (*.f64 (*.f64 (fma.f64 #s(literal 2 binary64) (log.f64 y) (log.f64 x)) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 y (sqrt.f64 x))) #s(literal 1 binary64)) #s(literal 1 binary64)))
(exp.f64 (*.f64 (*.f64 (*.f64 #s(literal 3 binary64) (log.f64 (*.f64 y (sqrt.f64 x)))) #s(literal 1/3 binary64)) #s(literal 1 binary64)))
(exp.f64 (*.f64 (*.f64 (*.f64 #s(literal 3 binary64) (log.f64 (*.f64 y (sqrt.f64 x)))) #s(literal 1 binary64)) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 y (sqrt.f64 x))) #s(literal 1/3 binary64)) #s(literal 3 binary64)))
(exp.f64 (*.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 y (sqrt.f64 x)))) #s(literal 1 binary64)) #s(literal 3 binary64)))
(exp.f64 (*.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 y (sqrt.f64 x)))) #s(literal 3/2 binary64)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 y (sqrt.f64 x))) #s(literal 1/2 binary64)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 y (sqrt.f64 x)))) #s(literal 1 binary64)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (*.f64 (fma.f64 #s(literal 2 binary64) (log.f64 y) (log.f64 x)) #s(literal 1 binary64)) #s(literal 1/2 binary64)))

simplify363.0ms (7.7%)

Algorithm
egg-herbie
Rules
860×prod-exp
450×exp-prod
377×fma-neg
371×associate-*r*
351×distribute-lft-in
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
055121474850566
1100521474850554
2278121474850554
3578821474850378
Stop Event
node limit
Counts
598 → 317
Calls
Call 1
Inputs
(*.f64 (sqrt.f64 x) y)
(*.f64 (sqrt.f64 x) y)
(*.f64 (sqrt.f64 x) y)
(*.f64 (sqrt.f64 x) y)
(*.f64 (sqrt.f64 x) y)
(*.f64 (sqrt.f64 x) y)
(*.f64 (sqrt.f64 x) y)
(*.f64 (sqrt.f64 x) y)
(*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 x) (*.f64 y (cbrt.f64 #s(literal -1 binary64)))))
(*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 x) (*.f64 y (cbrt.f64 #s(literal -1 binary64)))))
(*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 x) (*.f64 y (cbrt.f64 #s(literal -1 binary64)))))
(*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 x) (*.f64 y (cbrt.f64 #s(literal -1 binary64)))))
(*.f64 (sqrt.f64 x) y)
(*.f64 (sqrt.f64 x) y)
(*.f64 (sqrt.f64 x) y)
(*.f64 (sqrt.f64 x) y)
(*.f64 (sqrt.f64 x) y)
(*.f64 (sqrt.f64 x) y)
(*.f64 (sqrt.f64 x) y)
(*.f64 (sqrt.f64 x) y)
(*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 x) (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))
(*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 x) (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))
(*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 x) (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))
(*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 x) (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))
(*.f64 (sqrt.f64 (pow.f64 x #s(literal 3 binary64))) (pow.f64 y #s(literal 3 binary64)))
(*.f64 (sqrt.f64 (pow.f64 x #s(literal 3 binary64))) (pow.f64 y #s(literal 3 binary64)))
(*.f64 (sqrt.f64 (pow.f64 x #s(literal 3 binary64))) (pow.f64 y #s(literal 3 binary64)))
(*.f64 (sqrt.f64 (pow.f64 x #s(literal 3 binary64))) (pow.f64 y #s(literal 3 binary64)))
(*.f64 (sqrt.f64 (pow.f64 x #s(literal 3 binary64))) (pow.f64 y #s(literal 3 binary64)))
(*.f64 (sqrt.f64 (pow.f64 x #s(literal 3 binary64))) (pow.f64 y #s(literal 3 binary64)))
(*.f64 (sqrt.f64 (pow.f64 x #s(literal 3 binary64))) (pow.f64 y #s(literal 3 binary64)))
(*.f64 (sqrt.f64 (pow.f64 x #s(literal 3 binary64))) (pow.f64 y #s(literal 3 binary64)))
(*.f64 (sqrt.f64 (pow.f64 x #s(literal 3 binary64))) (pow.f64 y #s(literal 3 binary64)))
(*.f64 (sqrt.f64 (pow.f64 x #s(literal 3 binary64))) (pow.f64 y #s(literal 3 binary64)))
(*.f64 (sqrt.f64 (pow.f64 x #s(literal 3 binary64))) (pow.f64 y #s(literal 3 binary64)))
(*.f64 (sqrt.f64 (pow.f64 x #s(literal 3 binary64))) (pow.f64 y #s(literal 3 binary64)))
(*.f64 (sqrt.f64 (pow.f64 x #s(literal 3 binary64))) (pow.f64 y #s(literal 3 binary64)))
(*.f64 (sqrt.f64 (pow.f64 x #s(literal 3 binary64))) (pow.f64 y #s(literal 3 binary64)))
(*.f64 (sqrt.f64 (pow.f64 x #s(literal 3 binary64))) (pow.f64 y #s(literal 3 binary64)))
(*.f64 (sqrt.f64 (pow.f64 x #s(literal 3 binary64))) (pow.f64 y #s(literal 3 binary64)))
(*.f64 (sqrt.f64 (pow.f64 x #s(literal 3 binary64))) (pow.f64 y #s(literal 3 binary64)))
(*.f64 (sqrt.f64 (pow.f64 x #s(literal 3 binary64))) (pow.f64 y #s(literal 3 binary64)))
(*.f64 (sqrt.f64 (pow.f64 x #s(literal 3 binary64))) (pow.f64 y #s(literal 3 binary64)))
(*.f64 (sqrt.f64 (pow.f64 x #s(literal 3 binary64))) (pow.f64 y #s(literal 3 binary64)))
(*.f64 (sqrt.f64 (pow.f64 x #s(literal 3 binary64))) (*.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64))))
(*.f64 (sqrt.f64 (pow.f64 x #s(literal 3 binary64))) (*.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64))))
(*.f64 (sqrt.f64 (pow.f64 x #s(literal 3 binary64))) (*.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64))))
(*.f64 (sqrt.f64 (pow.f64 x #s(literal 3 binary64))) (*.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64))))
(*.f64 (sqrt.f64 x) y)
(*.f64 (sqrt.f64 x) y)
(*.f64 (sqrt.f64 x) y)
(*.f64 (sqrt.f64 x) y)
(*.f64 (sqrt.f64 x) y)
(*.f64 (sqrt.f64 x) y)
(*.f64 (sqrt.f64 x) y)
(*.f64 (sqrt.f64 x) y)
(*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 x) (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))
(*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 x) (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))
(*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 x) (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))
(*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 x) (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))
(*.f64 (sqrt.f64 x) y)
(*.f64 (sqrt.f64 x) y)
(*.f64 (sqrt.f64 x) y)
(*.f64 (sqrt.f64 x) y)
(*.f64 (sqrt.f64 x) y)
(*.f64 (sqrt.f64 x) y)
(*.f64 (sqrt.f64 x) y)
(*.f64 (sqrt.f64 x) y)
(*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 x) y))
(*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 x) y))
(*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 x) y))
(*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 x) y))
(*.f64 (pow.f64 (*.f64 #s(literal 1 binary64) x) #s(literal 1/6 binary64)) (cbrt.f64 y))
(*.f64 (pow.f64 (*.f64 #s(literal 1 binary64) x) #s(literal 1/6 binary64)) (cbrt.f64 y))
(*.f64 (pow.f64 (*.f64 #s(literal 1 binary64) x) #s(literal 1/6 binary64)) (cbrt.f64 y))
(*.f64 (pow.f64 (*.f64 #s(literal 1 binary64) x) #s(literal 1/6 binary64)) (cbrt.f64 y))
(*.f64 (pow.f64 (*.f64 #s(literal 1 binary64) x) #s(literal 1/6 binary64)) (cbrt.f64 y))
(*.f64 (pow.f64 (*.f64 #s(literal 1 binary64) x) #s(literal 1/6 binary64)) (cbrt.f64 y))
(*.f64 (pow.f64 (*.f64 #s(literal 1 binary64) x) #s(literal 1/6 binary64)) (cbrt.f64 y))
(*.f64 (pow.f64 (*.f64 #s(literal 1 binary64) x) #s(literal 1/6 binary64)) (cbrt.f64 y))
(*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 (*.f64 #s(literal 1 binary64) x) #s(literal 1/6 binary64)) (*.f64 (cbrt.f64 y) (cbrt.f64 #s(literal -1 binary64)))))
(*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 (*.f64 #s(literal 1 binary64) x) #s(literal 1/6 binary64)) (*.f64 (cbrt.f64 y) (cbrt.f64 #s(literal -1 binary64)))))
(*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 (*.f64 #s(literal 1 binary64) x) #s(literal 1/6 binary64)) (*.f64 (cbrt.f64 y) (cbrt.f64 #s(literal -1 binary64)))))
(*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 (*.f64 #s(literal 1 binary64) x) #s(literal 1/6 binary64)) (*.f64 (cbrt.f64 y) (cbrt.f64 #s(literal -1 binary64)))))
(*.f64 (pow.f64 (*.f64 #s(literal 1 binary64) x) #s(literal 1/6 binary64)) (cbrt.f64 y))
(*.f64 (pow.f64 (*.f64 #s(literal 1 binary64) x) #s(literal 1/6 binary64)) (cbrt.f64 y))
(*.f64 (pow.f64 (*.f64 #s(literal 1 binary64) x) #s(literal 1/6 binary64)) (cbrt.f64 y))
(*.f64 (pow.f64 (*.f64 #s(literal 1 binary64) x) #s(literal 1/6 binary64)) (cbrt.f64 y))
(*.f64 (pow.f64 (*.f64 #s(literal 1 binary64) x) #s(literal 1/6 binary64)) (cbrt.f64 y))
(*.f64 (pow.f64 (*.f64 #s(literal 1 binary64) x) #s(literal 1/6 binary64)) (cbrt.f64 y))
(*.f64 (pow.f64 (*.f64 #s(literal 1 binary64) x) #s(literal 1/6 binary64)) (cbrt.f64 y))
(*.f64 (pow.f64 (*.f64 #s(literal 1 binary64) x) #s(literal 1/6 binary64)) (cbrt.f64 y))
(*.f64 (pow.f64 (*.f64 #s(literal -1 binary64) x) #s(literal 1/6 binary64)) (cbrt.f64 (*.f64 y (sqrt.f64 #s(literal -1 binary64)))))
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(*.f64 #s(literal 1 binary64) (*.f64 y (sqrt.f64 x)))
(*.f64 (cbrt.f64 y) (*.f64 (pow.f64 x #s(literal 1/6 binary64)) (cbrt.f64 (*.f64 x (pow.f64 y #s(literal 2 binary64))))))
(*.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (*.f64 (cbrt.f64 y) (sqrt.f64 x)))
(*.f64 (cbrt.f64 (cbrt.f64 (*.f64 x (pow.f64 y #s(literal 2 binary64))))) (*.f64 (cbrt.f64 (cbrt.f64 (*.f64 y (sqrt.f64 x)))) (cbrt.f64 (*.f64 x (pow.f64 y #s(literal 2 binary64))))))
(*.f64 (cbrt.f64 x) (*.f64 (pow.f64 x #s(literal 1/6 binary64)) y))
(*.f64 (sqrt.f64 y) (pow.f64 (*.f64 y x) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 y) (pow.f64 (*.f64 x (*.f64 x (pow.f64 y #s(literal 2 binary64)))) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 x #s(literal 1/4 binary64)) (*.f64 (pow.f64 x #s(literal 1/4 binary64)) y))
(*.f64 (pow.f64 (*.f64 y (sqrt.f64 x)) #s(literal 1/4 binary64)) (pow.f64 (*.f64 y (sqrt.f64 x)) #s(literal 3/4 binary64)))
(*.f64 (pow.f64 (*.f64 y (sqrt.f64 x)) #s(literal 1/6 binary64)) (*.f64 (pow.f64 (*.f64 y (sqrt.f64 x)) #s(literal 1/6 binary64)) (cbrt.f64 (*.f64 x (pow.f64 y #s(literal 2 binary64))))))
(*.f64 (pow.f64 (*.f64 y (sqrt.f64 x)) #s(literal 3/4 binary64)) (pow.f64 (*.f64 y (sqrt.f64 x)) #s(literal 1/4 binary64)))
(*.f64 (*.f64 y (cbrt.f64 x)) (pow.f64 x #s(literal 1/6 binary64)))
(*.f64 (*.f64 y (pow.f64 x #s(literal 1/4 binary64))) (pow.f64 x #s(literal 1/4 binary64)))
(*.f64 (*.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (cbrt.f64 y))
(*.f64 (pow.f64 (*.f64 x y) #s(literal 1/2 binary64)) (sqrt.f64 y))
(*.f64 (*.f64 (sqrt.f64 (*.f64 y (sqrt.f64 x))) (cbrt.f64 (*.f64 y (sqrt.f64 x)))) (pow.f64 (*.f64 y (sqrt.f64 x)) #s(literal 1/6 binary64)))
(*.f64 (pow.f64 (*.f64 (*.f64 y (sqrt.f64 x)) y) #s(literal 1/2 binary64)) (pow.f64 x #s(literal 1/4 binary64)))
(*.f64 (*.f64 (cbrt.f64 (*.f64 x (pow.f64 y #s(literal 2 binary64)))) #s(literal 1 binary64)) (cbrt.f64 (*.f64 y (sqrt.f64 x))))
(*.f64 (*.f64 (cbrt.f64 (*.f64 x (pow.f64 y #s(literal 2 binary64)))) (cbrt.f64 y)) (pow.f64 x #s(literal 1/6 binary64)))
(*.f64 (*.f64 (cbrt.f64 (*.f64 x (pow.f64 y #s(literal 2 binary64)))) (cbrt.f64 (cbrt.f64 (*.f64 x (pow.f64 y #s(literal 2 binary64)))))) (cbrt.f64 (cbrt.f64 (*.f64 y (sqrt.f64 x)))))
(*.f64 (*.f64 (cbrt.f64 (*.f64 x (pow.f64 y #s(literal 2 binary64)))) (pow.f64 (*.f64 y (sqrt.f64 x)) #s(literal 1/6 binary64))) (pow.f64 (*.f64 y (sqrt.f64 x)) #s(literal 1/6 binary64)))
(sqrt.f64 (*.f64 x (pow.f64 y #s(literal 2 binary64))))
(fabs.f64 (*.f64 y (sqrt.f64 x)))
(log.f64 (pow.f64 (exp.f64 y) (sqrt.f64 x)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 y (sqrt.f64 x)))))
(cbrt.f64 (pow.f64 (*.f64 y (sqrt.f64 x)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 y (sqrt.f64 x))))
(log1p.f64 (expm1.f64 (*.f64 y (sqrt.f64 x))))
(exp.f64 (log.f64 (*.f64 y (sqrt.f64 x))))
(exp.f64 (*.f64 (fma.f64 #s(literal 2 binary64) (log.f64 y) (log.f64 x)) #s(literal 1/2 binary64)))
(exp.f64 (*.f64 (log.f64 (*.f64 y (sqrt.f64 x))) #s(literal 1 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 3 binary64) (log.f64 (*.f64 y (sqrt.f64 x)))) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 2/3 binary64) (log.f64 (*.f64 y (sqrt.f64 x)))) #s(literal 3/2 binary64)))
(exp.f64 (*.f64 (*.f64 (fma.f64 #s(literal 2 binary64) (log.f64 y) (log.f64 x)) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 y (sqrt.f64 x))) #s(literal 1 binary64)) #s(literal 1 binary64)))
(exp.f64 (*.f64 (*.f64 (*.f64 #s(literal 3 binary64) (log.f64 (*.f64 y (sqrt.f64 x)))) #s(literal 1/3 binary64)) #s(literal 1 binary64)))
(exp.f64 (*.f64 (*.f64 (*.f64 #s(literal 3 binary64) (log.f64 (*.f64 y (sqrt.f64 x)))) #s(literal 1 binary64)) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 y (sqrt.f64 x))) #s(literal 1/3 binary64)) #s(literal 3 binary64)))
(exp.f64 (*.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 y (sqrt.f64 x)))) #s(literal 1 binary64)) #s(literal 3 binary64)))
(exp.f64 (*.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 y (sqrt.f64 x)))) #s(literal 3/2 binary64)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 y (sqrt.f64 x))) #s(literal 1/2 binary64)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 y (sqrt.f64 x)))) #s(literal 1 binary64)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (*.f64 (fma.f64 #s(literal 2 binary64) (log.f64 y) (log.f64 x)) #s(literal 1 binary64)) #s(literal 1/2 binary64)))
(+.f64 #s(literal 0 binary64) (sqrt.f64 (*.f64 y (sqrt.f64 x))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (*.f64 y (sqrt.f64 x))))) #s(literal 2 binary64))) (log.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (*.f64 y (sqrt.f64 x)))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (*.f64 y (sqrt.f64 x)))))) (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (*.f64 y (sqrt.f64 x)))))))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (*.f64 y (sqrt.f64 x))))) #s(literal 1 binary64))
(*.f64 (cbrt.f64 (*.f64 y (sqrt.f64 x))) (pow.f64 (*.f64 y (sqrt.f64 x)) #s(literal 1/6 binary64)))
(*.f64 (sqrt.f64 (*.f64 y (sqrt.f64 x))) #s(literal 1 binary64))
(*.f64 (sqrt.f64 (*.f64 y (sqrt.f64 x))) (log.f64 (exp.f64 #s(literal 1 binary64))))
(*.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 y (sqrt.f64 x))))
(*.f64 (sqrt.f64 y) (pow.f64 x #s(literal 1/4 binary64)))
(*.f64 (pow.f64 x #s(literal 1/4 binary64)) (sqrt.f64 y))
(*.f64 (pow.f64 (*.f64 y (sqrt.f64 x)) #s(literal 1/4 binary64)) (pow.f64 (*.f64 y (sqrt.f64 x)) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 (*.f64 y (sqrt.f64 x)) #s(literal 1/6 binary64)) (cbrt.f64 (*.f64 y (sqrt.f64 x))))
(pow.f64 (*.f64 y (sqrt.f64 x)) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (*.f64 y (sqrt.f64 x)) #s(literal 3 binary64)) #s(literal 1/6 binary64))
(pow.f64 (cbrt.f64 (*.f64 y (sqrt.f64 x))) #s(literal 3/2 binary64))
(pow.f64 (sqrt.f64 (*.f64 y (sqrt.f64 x))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 x (pow.f64 y #s(literal 2 binary64)))) #s(literal 3/4 binary64))
(pow.f64 (*.f64 x (pow.f64 y #s(literal 2 binary64))) #s(literal 1/4 binary64))
(pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 y (sqrt.f64 x)))) #s(literal 9/2 binary64))
(pow.f64 (pow.f64 (*.f64 y (sqrt.f64 x)) #s(literal 6 binary64)) #s(literal 1/12 binary64))
(pow.f64 (pow.f64 (*.f64 y (sqrt.f64 x)) #s(literal 9 binary64)) #s(literal 1/18 binary64))
(pow.f64 (pow.f64 (*.f64 y (sqrt.f64 x)) #s(literal 4 binary64)) #s(literal 1/8 binary64))
(pow.f64 (pow.f64 (*.f64 y (sqrt.f64 x)) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(pow.f64 (pow.f64 (*.f64 y (sqrt.f64 x)) #s(literal 1/6 binary64)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 y (sqrt.f64 x)) #s(literal 3/2 binary64)) #s(literal 1/3 binary64))
(fabs.f64 (sqrt.f64 (*.f64 y (sqrt.f64 x))))
(log.f64 (exp.f64 (sqrt.f64 (*.f64 y (sqrt.f64 x)))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (sqrt.f64 (*.f64 y (sqrt.f64 x))))))
(cbrt.f64 (pow.f64 (*.f64 y (sqrt.f64 x)) #s(literal 3/2 binary64)))
(expm1.f64 (log1p.f64 (sqrt.f64 (*.f64 y (sqrt.f64 x)))))
(log1p.f64 (expm1.f64 (sqrt.f64 (*.f64 y (sqrt.f64 x)))))
(exp.f64 (log.f64 (sqrt.f64 (*.f64 y (sqrt.f64 x)))))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 y (sqrt.f64 x)))) #s(literal 3/2 binary64)))
(exp.f64 (*.f64 (log.f64 (*.f64 y (sqrt.f64 x))) #s(literal 1/2 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 y (sqrt.f64 x)))) #s(literal 1 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 3 binary64) (log.f64 (*.f64 y (sqrt.f64 x)))) #s(literal 1/6 binary64)))
(exp.f64 (*.f64 (fma.f64 #s(literal 2 binary64) (log.f64 y) (log.f64 x)) #s(literal 1/4 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (log.f64 (*.f64 y (sqrt.f64 x)))) #s(literal 2 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 1/6 binary64) (log.f64 (*.f64 y (sqrt.f64 x)))) #s(literal 3 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 3/2 binary64) (log.f64 (*.f64 y (sqrt.f64 x)))) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (*.f64 (fma.f64 #s(literal 2 binary64) (log.f64 y) (log.f64 x)) #s(literal 1/2 binary64)) #s(literal 1/2 binary64)))
(exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 y (sqrt.f64 x))) #s(literal 1 binary64)) #s(literal 1/2 binary64)))
(exp.f64 (*.f64 (*.f64 (*.f64 #s(literal 3 binary64) (log.f64 (*.f64 y (sqrt.f64 x)))) #s(literal 1/3 binary64)) #s(literal 1/2 binary64)))
(exp.f64 (*.f64 (*.f64 (*.f64 #s(literal 3 binary64) (log.f64 (*.f64 y (sqrt.f64 x)))) #s(literal 1 binary64)) #s(literal 1/6 binary64)))
(exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 y (sqrt.f64 x))) #s(literal 1/3 binary64)) #s(literal 3/2 binary64)))
(exp.f64 (*.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 y (sqrt.f64 x)))) #s(literal 1 binary64)) #s(literal 3/2 binary64)))
(exp.f64 (*.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 y (sqrt.f64 x)))) #s(literal 3/2 binary64)) #s(literal 1 binary64)))
(exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 y (sqrt.f64 x))) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(exp.f64 (*.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 y (sqrt.f64 x)))) #s(literal 1 binary64)) #s(literal 1 binary64)))
(exp.f64 (*.f64 (*.f64 (fma.f64 #s(literal 2 binary64) (log.f64 y) (log.f64 x)) #s(literal 1 binary64)) #s(literal 1/4 binary64)))
(exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 y (sqrt.f64 x))) #s(literal 3/2 binary64)) #s(literal 1/3 binary64)))
(+.f64 #s(literal 0 binary64) (*.f64 y (sqrt.f64 x)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 y) (sqrt.f64 x))) #s(literal 2 binary64))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 y) (sqrt.f64 x)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 y) (sqrt.f64 x)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 y) (sqrt.f64 x)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 y (sqrt.f64 x)))) #s(literal 1 binary64))
(*.f64 y (sqrt.f64 x))
(*.f64 (sqrt.f64 x) y)
(*.f64 (*.f64 y (sqrt.f64 x)) #s(literal 1 binary64))
(*.f64 (*.f64 y (sqrt.f64 x)) (log.f64 (exp.f64 #s(literal 1 binary64))))
(*.f64 (cbrt.f64 (*.f64 y (sqrt.f64 x))) (cbrt.f64 (*.f64 x (pow.f64 y #s(literal 2 binary64)))))
(*.f64 (sqrt.f64 (*.f64 y (sqrt.f64 x))) (sqrt.f64 (*.f64 y (sqrt.f64 x))))
(*.f64 (cbrt.f64 (*.f64 x (pow.f64 y #s(literal 2 binary64)))) (cbrt.f64 (*.f64 y (sqrt.f64 x))))
(*.f64 #s(literal 1 binary64) (*.f64 y (sqrt.f64 x)))
(*.f64 (cbrt.f64 y) (*.f64 (pow.f64 x #s(literal 1/6 binary64)) (cbrt.f64 (*.f64 x (pow.f64 y #s(literal 2 binary64))))))
(*.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (*.f64 (cbrt.f64 y) (sqrt.f64 x)))
(*.f64 (cbrt.f64 (cbrt.f64 (*.f64 x (pow.f64 y #s(literal 2 binary64))))) (*.f64 (cbrt.f64 (cbrt.f64 (*.f64 y (sqrt.f64 x)))) (cbrt.f64 (*.f64 x (pow.f64 y #s(literal 2 binary64))))))
(*.f64 (cbrt.f64 x) (*.f64 (pow.f64 x #s(literal 1/6 binary64)) y))
(*.f64 (sqrt.f64 y) (pow.f64 (*.f64 y x) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 y) (pow.f64 (*.f64 x (*.f64 x (pow.f64 y #s(literal 2 binary64)))) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 x #s(literal 1/4 binary64)) (*.f64 (pow.f64 x #s(literal 1/4 binary64)) y))
(*.f64 (pow.f64 (*.f64 y (sqrt.f64 x)) #s(literal 1/4 binary64)) (pow.f64 (*.f64 y (sqrt.f64 x)) #s(literal 3/4 binary64)))
(*.f64 (pow.f64 (*.f64 y (sqrt.f64 x)) #s(literal 1/6 binary64)) (*.f64 (pow.f64 (*.f64 y (sqrt.f64 x)) #s(literal 1/6 binary64)) (cbrt.f64 (*.f64 x (pow.f64 y #s(literal 2 binary64))))))
(*.f64 (pow.f64 (*.f64 y (sqrt.f64 x)) #s(literal 3/4 binary64)) (pow.f64 (*.f64 y (sqrt.f64 x)) #s(literal 1/4 binary64)))
(*.f64 (*.f64 y (cbrt.f64 x)) (pow.f64 x #s(literal 1/6 binary64)))
(*.f64 (*.f64 y (pow.f64 x #s(literal 1/4 binary64))) (pow.f64 x #s(literal 1/4 binary64)))
(*.f64 (*.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (cbrt.f64 y))
(*.f64 (pow.f64 (*.f64 x y) #s(literal 1/2 binary64)) (sqrt.f64 y))
(*.f64 (*.f64 (sqrt.f64 (*.f64 y (sqrt.f64 x))) (cbrt.f64 (*.f64 y (sqrt.f64 x)))) (pow.f64 (*.f64 y (sqrt.f64 x)) #s(literal 1/6 binary64)))
(*.f64 (pow.f64 (*.f64 (*.f64 y (sqrt.f64 x)) y) #s(literal 1/2 binary64)) (pow.f64 x #s(literal 1/4 binary64)))
(*.f64 (*.f64 (cbrt.f64 (*.f64 x (pow.f64 y #s(literal 2 binary64)))) #s(literal 1 binary64)) (cbrt.f64 (*.f64 y (sqrt.f64 x))))
(*.f64 (*.f64 (cbrt.f64 (*.f64 x (pow.f64 y #s(literal 2 binary64)))) (cbrt.f64 y)) (pow.f64 x #s(literal 1/6 binary64)))
(*.f64 (*.f64 (cbrt.f64 (*.f64 x (pow.f64 y #s(literal 2 binary64)))) (cbrt.f64 (cbrt.f64 (*.f64 x (pow.f64 y #s(literal 2 binary64)))))) (cbrt.f64 (cbrt.f64 (*.f64 y (sqrt.f64 x)))))
(*.f64 (*.f64 (cbrt.f64 (*.f64 x (pow.f64 y #s(literal 2 binary64)))) (pow.f64 (*.f64 y (sqrt.f64 x)) #s(literal 1/6 binary64))) (pow.f64 (*.f64 y (sqrt.f64 x)) #s(literal 1/6 binary64)))
(sqrt.f64 (*.f64 x (pow.f64 y #s(literal 2 binary64))))
(fabs.f64 (*.f64 y (sqrt.f64 x)))
(log.f64 (pow.f64 (exp.f64 y) (sqrt.f64 x)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 y (sqrt.f64 x)))))
(cbrt.f64 (pow.f64 (*.f64 y (sqrt.f64 x)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 y (sqrt.f64 x))))
(log1p.f64 (expm1.f64 (*.f64 y (sqrt.f64 x))))
(exp.f64 (log.f64 (*.f64 y (sqrt.f64 x))))
(exp.f64 (*.f64 (fma.f64 #s(literal 2 binary64) (log.f64 y) (log.f64 x)) #s(literal 1/2 binary64)))
(exp.f64 (*.f64 (log.f64 (*.f64 y (sqrt.f64 x))) #s(literal 1 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 3 binary64) (log.f64 (*.f64 y (sqrt.f64 x)))) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 2/3 binary64) (log.f64 (*.f64 y (sqrt.f64 x)))) #s(literal 3/2 binary64)))
(exp.f64 (*.f64 (*.f64 (fma.f64 #s(literal 2 binary64) (log.f64 y) (log.f64 x)) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 y (sqrt.f64 x))) #s(literal 1 binary64)) #s(literal 1 binary64)))
(exp.f64 (*.f64 (*.f64 (*.f64 #s(literal 3 binary64) (log.f64 (*.f64 y (sqrt.f64 x)))) #s(literal 1/3 binary64)) #s(literal 1 binary64)))
(exp.f64 (*.f64 (*.f64 (*.f64 #s(literal 3 binary64) (log.f64 (*.f64 y (sqrt.f64 x)))) #s(literal 1 binary64)) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 y (sqrt.f64 x))) #s(literal 1/3 binary64)) #s(literal 3 binary64)))
(exp.f64 (*.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 y (sqrt.f64 x)))) #s(literal 1 binary64)) #s(literal 3 binary64)))
(exp.f64 (*.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 y (sqrt.f64 x)))) #s(literal 3/2 binary64)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 y (sqrt.f64 x))) #s(literal 1/2 binary64)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 y (sqrt.f64 x)))) #s(literal 1 binary64)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (*.f64 (fma.f64 #s(literal 2 binary64) (log.f64 y) (log.f64 x)) #s(literal 1 binary64)) #s(literal 1/2 binary64)))
Outputs
(*.f64 (sqrt.f64 x) y)
(*.f64 (sqrt.f64 x) y)
(*.f64 (sqrt.f64 x) y)
(*.f64 (sqrt.f64 x) y)
(*.f64 (sqrt.f64 x) y)
(*.f64 (sqrt.f64 x) y)
(*.f64 (sqrt.f64 x) y)
(*.f64 (sqrt.f64 x) y)
(*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 x) (*.f64 y (cbrt.f64 #s(literal -1 binary64)))))
(neg.f64 (*.f64 (sqrt.f64 x) (*.f64 y (cbrt.f64 #s(literal -1 binary64)))))
(*.f64 (sqrt.f64 x) (neg.f64 (*.f64 y (cbrt.f64 #s(literal -1 binary64)))))
(*.f64 (sqrt.f64 x) (*.f64 (cbrt.f64 #s(literal -1 binary64)) (neg.f64 y)))
(*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 x) (*.f64 y (cbrt.f64 #s(literal -1 binary64)))))
(neg.f64 (*.f64 (sqrt.f64 x) (*.f64 y (cbrt.f64 #s(literal -1 binary64)))))
(*.f64 (sqrt.f64 x) (neg.f64 (*.f64 y (cbrt.f64 #s(literal -1 binary64)))))
(*.f64 (sqrt.f64 x) (*.f64 (cbrt.f64 #s(literal -1 binary64)) (neg.f64 y)))
(*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 x) (*.f64 y (cbrt.f64 #s(literal -1 binary64)))))
(neg.f64 (*.f64 (sqrt.f64 x) (*.f64 y (cbrt.f64 #s(literal -1 binary64)))))
(*.f64 (sqrt.f64 x) (neg.f64 (*.f64 y (cbrt.f64 #s(literal -1 binary64)))))
(*.f64 (sqrt.f64 x) (*.f64 (cbrt.f64 #s(literal -1 binary64)) (neg.f64 y)))
(*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 x) (*.f64 y (cbrt.f64 #s(literal -1 binary64)))))
(neg.f64 (*.f64 (sqrt.f64 x) (*.f64 y (cbrt.f64 #s(literal -1 binary64)))))
(*.f64 (sqrt.f64 x) (neg.f64 (*.f64 y (cbrt.f64 #s(literal -1 binary64)))))
(*.f64 (sqrt.f64 x) (*.f64 (cbrt.f64 #s(literal -1 binary64)) (neg.f64 y)))
(*.f64 (sqrt.f64 x) y)
(*.f64 (sqrt.f64 x) y)
(*.f64 (sqrt.f64 x) y)
(*.f64 (sqrt.f64 x) y)
(*.f64 (sqrt.f64 x) y)
(*.f64 (sqrt.f64 x) y)
(*.f64 (sqrt.f64 x) y)
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(exp.f64 (*.f64 (fma.f64 #s(literal 2 binary64) (log.f64 y) (log.f64 x)) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 x) y)
(exp.f64 (*.f64 (log.f64 (*.f64 y (sqrt.f64 x))) #s(literal 1 binary64)))
(*.f64 (sqrt.f64 x) y)
(exp.f64 (*.f64 (*.f64 #s(literal 3 binary64) (log.f64 (*.f64 y (sqrt.f64 x)))) #s(literal 1/3 binary64)))
(*.f64 (sqrt.f64 x) y)
(exp.f64 (*.f64 (*.f64 #s(literal 2/3 binary64) (log.f64 (*.f64 y (sqrt.f64 x)))) #s(literal 3/2 binary64)))
(*.f64 (sqrt.f64 x) y)
(exp.f64 (*.f64 (*.f64 (fma.f64 #s(literal 2 binary64) (log.f64 y) (log.f64 x)) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(*.f64 (sqrt.f64 x) y)
(exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 y (sqrt.f64 x))) #s(literal 1 binary64)) #s(literal 1 binary64)))
(*.f64 (sqrt.f64 x) y)
(exp.f64 (*.f64 (*.f64 (*.f64 #s(literal 3 binary64) (log.f64 (*.f64 y (sqrt.f64 x)))) #s(literal 1/3 binary64)) #s(literal 1 binary64)))
(*.f64 (sqrt.f64 x) y)
(exp.f64 (*.f64 (*.f64 (*.f64 #s(literal 3 binary64) (log.f64 (*.f64 y (sqrt.f64 x)))) #s(literal 1 binary64)) #s(literal 1/3 binary64)))
(*.f64 (sqrt.f64 x) y)
(exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 y (sqrt.f64 x))) #s(literal 1/3 binary64)) #s(literal 3 binary64)))
(*.f64 (sqrt.f64 x) y)
(exp.f64 (*.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 y (sqrt.f64 x)))) #s(literal 1 binary64)) #s(literal 3 binary64)))
(*.f64 (sqrt.f64 x) y)
(exp.f64 (*.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 y (sqrt.f64 x)))) #s(literal 3/2 binary64)) #s(literal 2 binary64)))
(*.f64 (sqrt.f64 x) y)
(exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 y (sqrt.f64 x))) #s(literal 1/2 binary64)) #s(literal 2 binary64)))
(*.f64 (sqrt.f64 x) y)
(exp.f64 (*.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 y (sqrt.f64 x)))) #s(literal 1 binary64)) #s(literal 2 binary64)))
(*.f64 (sqrt.f64 x) y)
(exp.f64 (*.f64 (*.f64 (fma.f64 #s(literal 2 binary64) (log.f64 y) (log.f64 x)) #s(literal 1 binary64)) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 x) y)

eval465.0ms (9.8%)

Compiler

Compiled 8960 to 4952 computations (44.7% saved)

prune74.0ms (1.6%)

Pruning

8 alts after pruning (4 fresh and 4 done)

PrunedKeptTotal
New5744578
Fresh000
Picked134
Done011
Total5758583
Accuracy
100.0%
Counts
583 → 8
Alt Table
Click to see full alt table
StatusAccuracyProgram
51.0%
(+.f64 (-.f64 #s(literal 1 binary64) x) (pow.f64 (sqrt.f64 (*.f64 y (sqrt.f64 x))) #s(literal 2 binary64)))
99.2%
(+.f64 (-.f64 #s(literal 1 binary64) x) (pow.f64 (cbrt.f64 (*.f64 y (sqrt.f64 x))) #s(literal 3 binary64)))
98.8%
(+.f64 (-.f64 #s(literal 1 binary64) x) (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 (sqrt.f64 x) y))) #s(literal 9 binary64)))
99.8%
(+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 (pow.f64 x #s(literal 1/4 binary64)) (*.f64 (pow.f64 x #s(literal 1/4 binary64)) y)))
98.0%
(+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 (*.f64 y (cbrt.f64 x)) (pow.f64 x #s(literal 1/6 binary64))))
46.3%
(+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 (sqrt.f64 y) (sqrt.f64 (*.f64 x y))))
99.8%
(+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (sqrt.f64 x)))
61.8%
(+.f64 (-.f64 #s(literal 1 binary64) x) (sqrt.f64 (*.f64 x (pow.f64 y #s(literal 2 binary64)))))
Compiler

Compiled 104 to 77 computations (26% saved)

localize268.0ms (5.7%)

Localize:

Found 12 expressions with local error:

NewAccuracyProgram
99.8%
(*.f64 (sqrt.f64 x) y)
99.6%
(cbrt.f64 (cbrt.f64 (*.f64 (sqrt.f64 x) y)))
98.9%
(pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 (sqrt.f64 x) y))) #s(literal 9 binary64))
93.1%
(cbrt.f64 (*.f64 (sqrt.f64 x) y))
99.8%
(*.f64 (pow.f64 x #s(literal 1/4 binary64)) y)
99.8%
(*.f64 (pow.f64 x #s(literal 1/4 binary64)) (*.f64 (pow.f64 x #s(literal 1/4 binary64)) y))
99.8%
(*.f64 y (cbrt.f64 x))
99.8%
(*.f64 (*.f64 y (cbrt.f64 x)) (pow.f64 x #s(literal 1/6 binary64)))
99.6%
(cbrt.f64 x)
96.7%
(pow.f64 x #s(literal 1/6 binary64))
99.8%
(*.f64 (sqrt.f64 y) (sqrt.f64 (*.f64 x y)))
88.6%
(sqrt.f64 (*.f64 x y))
Results
89.0ms128×256invalid
95.0ms120×256valid
7.0ms256infinite
Compiler

Compiled 153 to 69 computations (54.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 148.0ms
ival-pow: 88.0ms (59.4% of total)
ival-mult: 21.0ms (14.2% of total)
ival-sub: 16.0ms (10.8% of total)
ival-add: 7.0ms (4.7% of total)
ival-sqrt: 6.0ms (4.1% of total)
ival-cbrt: 6.0ms (4.1% of total)
const: 4.0ms (2.7% of total)

series326.0ms (6.9%)

Counts
12 → 220
Calls
Call 1
Inputs
#<alt (sqrt.f64 (*.f64 x y))>
#<alt (*.f64 (sqrt.f64 y) (sqrt.f64 (*.f64 x y)))>
#<alt (pow.f64 x #s(literal 1/6 binary64))>
#<alt (cbrt.f64 x)>
#<alt (*.f64 (*.f64 y (cbrt.f64 x)) (pow.f64 x #s(literal 1/6 binary64)))>
#<alt (*.f64 y (cbrt.f64 x))>
#<alt (*.f64 (pow.f64 x #s(literal 1/4 binary64)) (*.f64 (pow.f64 x #s(literal 1/4 binary64)) y))>
#<alt (*.f64 (pow.f64 x #s(literal 1/4 binary64)) y)>
#<alt (cbrt.f64 (*.f64 (sqrt.f64 x) y))>
#<alt (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 (sqrt.f64 x) y))) #s(literal 9 binary64))>
#<alt (cbrt.f64 (cbrt.f64 (*.f64 (sqrt.f64 x) y)))>
#<alt (*.f64 (sqrt.f64 x) y)>
Outputs
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 (*.f64 x y)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 (*.f64 x y)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 (*.f64 x y)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 (*.f64 x y)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 (*.f64 x y)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 (*.f64 x y)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 (*.f64 x y)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 (*.f64 x y)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))>
#<alt (*.f64 (sqrt.f64 x) y)>
#<alt (*.f64 (sqrt.f64 x) y)>
#<alt (*.f64 (sqrt.f64 x) y)>
#<alt (*.f64 (sqrt.f64 x) y)>
#<alt (*.f64 (sqrt.f64 x) y)>
#<alt (*.f64 (sqrt.f64 x) y)>
#<alt (*.f64 (sqrt.f64 x) y)>
#<alt (*.f64 (sqrt.f64 x) y)>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 x) (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 x) (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 x) (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 x) (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))>
#<alt (*.f64 (sqrt.f64 x) y)>
#<alt (*.f64 (sqrt.f64 x) y)>
#<alt (*.f64 (sqrt.f64 x) y)>
#<alt (*.f64 (sqrt.f64 x) y)>
#<alt (*.f64 (sqrt.f64 x) y)>
#<alt (*.f64 (sqrt.f64 x) y)>
#<alt (*.f64 (sqrt.f64 x) y)>
#<alt (*.f64 (sqrt.f64 x) y)>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 x) (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 x) (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 x) (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 x) (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))>
#<alt (pow.f64 (*.f64 #s(literal 1 binary64) x) #s(literal 1/6 binary64))>
#<alt (pow.f64 (*.f64 #s(literal 1 binary64) x) #s(literal 1/6 binary64))>
#<alt (pow.f64 (*.f64 #s(literal 1 binary64) x) #s(literal 1/6 binary64))>
#<alt (pow.f64 (*.f64 #s(literal 1 binary64) x) #s(literal 1/6 binary64))>
#<alt (pow.f64 (*.f64 #s(literal 1 binary64) x) #s(literal 1/6 binary64))>
#<alt (pow.f64 (*.f64 #s(literal 1 binary64) x) #s(literal 1/6 binary64))>
#<alt (pow.f64 (*.f64 #s(literal 1 binary64) x) #s(literal 1/6 binary64))>
#<alt (pow.f64 (*.f64 #s(literal 1 binary64) x) #s(literal 1/6 binary64))>
#<alt (exp.f64 (*.f64 #s(literal 1/6 binary64) (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x))))))>
#<alt (exp.f64 (*.f64 #s(literal 1/6 binary64) (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x))))))>
#<alt (exp.f64 (*.f64 #s(literal 1/6 binary64) (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x))))))>
#<alt (exp.f64 (*.f64 #s(literal 1/6 binary64) (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x))))))>
#<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 (*.f64 (sqrt.f64 x) y)>
#<alt (*.f64 (sqrt.f64 x) y)>
#<alt (*.f64 (sqrt.f64 x) y)>
#<alt (*.f64 (sqrt.f64 x) y)>
#<alt (*.f64 (sqrt.f64 x) y)>
#<alt (*.f64 (sqrt.f64 x) y)>
#<alt (*.f64 (sqrt.f64 x) y)>
#<alt (*.f64 (sqrt.f64 x) y)>
#<alt (*.f64 (sqrt.f64 x) y)>
#<alt (*.f64 (sqrt.f64 x) y)>
#<alt (*.f64 (sqrt.f64 x) y)>
#<alt (*.f64 (sqrt.f64 x) y)>
#<alt (*.f64 (sqrt.f64 x) y)>
#<alt (*.f64 (sqrt.f64 x) y)>
#<alt (*.f64 (sqrt.f64 x) y)>
#<alt (*.f64 (sqrt.f64 x) y)>
#<alt (*.f64 (sqrt.f64 x) y)>
#<alt (*.f64 (sqrt.f64 x) y)>
#<alt (*.f64 (sqrt.f64 x) y)>
#<alt (*.f64 (sqrt.f64 x) y)>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 #s(literal -1 binary64) #s(literal 1/6 binary64)) (*.f64 (sqrt.f64 x) (*.f64 y (*.f64 (cbrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal -1 binary64)))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 #s(literal -1 binary64) #s(literal 1/6 binary64)) (*.f64 (sqrt.f64 x) (*.f64 y (*.f64 (cbrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal -1 binary64)))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 #s(literal -1 binary64) #s(literal 1/6 binary64)) (*.f64 (sqrt.f64 x) (*.f64 y (*.f64 (cbrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal -1 binary64)))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 #s(literal -1 binary64) #s(literal 1/6 binary64)) (*.f64 (sqrt.f64 x) (*.f64 y (*.f64 (cbrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal -1 binary64)))))))>
#<alt (*.f64 (cbrt.f64 x) y)>
#<alt (*.f64 (cbrt.f64 x) y)>
#<alt (*.f64 (cbrt.f64 x) y)>
#<alt (*.f64 (cbrt.f64 x) y)>
#<alt (*.f64 (cbrt.f64 x) y)>
#<alt (*.f64 (cbrt.f64 x) y)>
#<alt (*.f64 (cbrt.f64 x) y)>
#<alt (*.f64 (cbrt.f64 x) y)>
#<alt (*.f64 (cbrt.f64 x) y)>
#<alt (*.f64 (cbrt.f64 x) y)>
#<alt (*.f64 (cbrt.f64 x) y)>
#<alt (*.f64 (cbrt.f64 x) y)>
#<alt (*.f64 (cbrt.f64 x) y)>
#<alt (*.f64 (cbrt.f64 x) y)>
#<alt (*.f64 (cbrt.f64 x) y)>
#<alt (*.f64 (cbrt.f64 x) y)>
#<alt (*.f64 (cbrt.f64 x) y)>
#<alt (*.f64 (cbrt.f64 x) y)>
#<alt (*.f64 (cbrt.f64 x) y)>
#<alt (*.f64 (cbrt.f64 x) y)>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (cbrt.f64 x) (*.f64 y (cbrt.f64 #s(literal -1 binary64)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (cbrt.f64 x) (*.f64 y (cbrt.f64 #s(literal -1 binary64)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (cbrt.f64 x) (*.f64 y (cbrt.f64 #s(literal -1 binary64)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (cbrt.f64 x) (*.f64 y (cbrt.f64 #s(literal -1 binary64)))))>
#<alt (*.f64 (sqrt.f64 x) y)>
#<alt (*.f64 (sqrt.f64 x) y)>
#<alt (*.f64 (sqrt.f64 x) y)>
#<alt (*.f64 (sqrt.f64 x) y)>
#<alt (*.f64 (sqrt.f64 x) y)>
#<alt (*.f64 (sqrt.f64 x) y)>
#<alt (*.f64 (sqrt.f64 x) y)>
#<alt (*.f64 (sqrt.f64 x) y)>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 x) (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 x) (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 x) (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 x) (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))>
#<alt (*.f64 (sqrt.f64 x) y)>
#<alt (*.f64 (sqrt.f64 x) y)>
#<alt (*.f64 (sqrt.f64 x) y)>
#<alt (*.f64 (sqrt.f64 x) y)>
#<alt (*.f64 (sqrt.f64 x) y)>
#<alt (*.f64 (sqrt.f64 x) y)>
#<alt (*.f64 (sqrt.f64 x) y)>
#<alt (*.f64 (sqrt.f64 x) y)>
#<alt (*.f64 (sqrt.f64 x) y)>
#<alt (*.f64 (sqrt.f64 x) y)>
#<alt (*.f64 (sqrt.f64 x) y)>
#<alt (*.f64 (sqrt.f64 x) y)>
#<alt (*.f64 (pow.f64 (*.f64 #s(literal 1 binary64) x) #s(literal 1/4 binary64)) y)>
#<alt (*.f64 (pow.f64 (*.f64 #s(literal 1 binary64) x) #s(literal 1/4 binary64)) y)>
#<alt (*.f64 (pow.f64 (*.f64 #s(literal 1 binary64) x) #s(literal 1/4 binary64)) y)>
#<alt (*.f64 (pow.f64 (*.f64 #s(literal 1 binary64) x) #s(literal 1/4 binary64)) y)>
#<alt (*.f64 (pow.f64 (*.f64 #s(literal 1 binary64) x) #s(literal 1/4 binary64)) y)>
#<alt (*.f64 (pow.f64 (*.f64 #s(literal 1 binary64) x) #s(literal 1/4 binary64)) y)>
#<alt (*.f64 (pow.f64 (*.f64 #s(literal 1 binary64) x) #s(literal 1/4 binary64)) y)>
#<alt (*.f64 (pow.f64 (*.f64 #s(literal 1 binary64) x) #s(literal 1/4 binary64)) y)>
#<alt (*.f64 y (exp.f64 (*.f64 #s(literal 1/4 binary64) (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x)))))))>
#<alt (*.f64 y (exp.f64 (*.f64 #s(literal 1/4 binary64) (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x)))))))>
#<alt (*.f64 y (exp.f64 (*.f64 #s(literal 1/4 binary64) (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x)))))))>
#<alt (*.f64 y (exp.f64 (*.f64 #s(literal 1/4 binary64) (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x)))))))>
#<alt (*.f64 (pow.f64 (*.f64 #s(literal 1 binary64) x) #s(literal 1/4 binary64)) y)>
#<alt (*.f64 (pow.f64 (*.f64 #s(literal 1 binary64) x) #s(literal 1/4 binary64)) y)>
#<alt (*.f64 (pow.f64 (*.f64 #s(literal 1 binary64) x) #s(literal 1/4 binary64)) y)>
#<alt (*.f64 (pow.f64 (*.f64 #s(literal 1 binary64) x) #s(literal 1/4 binary64)) y)>
#<alt (*.f64 (pow.f64 (*.f64 #s(literal 1 binary64) x) #s(literal 1/4 binary64)) y)>
#<alt (*.f64 (pow.f64 (*.f64 #s(literal 1 binary64) x) #s(literal 1/4 binary64)) y)>
#<alt (*.f64 (pow.f64 (*.f64 #s(literal 1 binary64) x) #s(literal 1/4 binary64)) y)>
#<alt (*.f64 (pow.f64 (*.f64 #s(literal 1 binary64) x) #s(literal 1/4 binary64)) y)>
#<alt (*.f64 (pow.f64 (*.f64 #s(literal 1 binary64) x) #s(literal 1/4 binary64)) y)>
#<alt (*.f64 (pow.f64 (*.f64 #s(literal 1 binary64) x) #s(literal 1/4 binary64)) y)>
#<alt (*.f64 (pow.f64 (*.f64 #s(literal 1 binary64) x) #s(literal 1/4 binary64)) y)>
#<alt (*.f64 (pow.f64 (*.f64 #s(literal 1 binary64) x) #s(literal 1/4 binary64)) y)>
#<alt (*.f64 (pow.f64 (*.f64 #s(literal 1 binary64) x) #s(literal 1/6 binary64)) (cbrt.f64 y))>
#<alt (*.f64 (pow.f64 (*.f64 #s(literal 1 binary64) x) #s(literal 1/6 binary64)) (cbrt.f64 y))>
#<alt (*.f64 (pow.f64 (*.f64 #s(literal 1 binary64) x) #s(literal 1/6 binary64)) (cbrt.f64 y))>
#<alt (*.f64 (pow.f64 (*.f64 #s(literal 1 binary64) x) #s(literal 1/6 binary64)) (cbrt.f64 y))>
#<alt (*.f64 (pow.f64 (*.f64 #s(literal 1 binary64) x) #s(literal 1/6 binary64)) (cbrt.f64 y))>
#<alt (*.f64 (pow.f64 (*.f64 #s(literal 1 binary64) x) #s(literal 1/6 binary64)) (cbrt.f64 y))>
#<alt (*.f64 (pow.f64 (*.f64 #s(literal 1 binary64) x) #s(literal 1/6 binary64)) (cbrt.f64 y))>
#<alt (*.f64 (pow.f64 (*.f64 #s(literal 1 binary64) x) #s(literal 1/6 binary64)) (cbrt.f64 y))>
#<alt (*.f64 (pow.f64 (*.f64 #s(literal -1 binary64) x) #s(literal 1/6 binary64)) (cbrt.f64 (*.f64 y (sqrt.f64 #s(literal -1 binary64)))))>
#<alt (*.f64 (pow.f64 (*.f64 #s(literal -1 binary64) x) #s(literal 1/6 binary64)) (cbrt.f64 (*.f64 y (sqrt.f64 #s(literal -1 binary64)))))>
#<alt (*.f64 (pow.f64 (*.f64 #s(literal -1 binary64) x) #s(literal 1/6 binary64)) (cbrt.f64 (*.f64 y (sqrt.f64 #s(literal -1 binary64)))))>
#<alt (*.f64 (pow.f64 (*.f64 #s(literal -1 binary64) x) #s(literal 1/6 binary64)) (cbrt.f64 (*.f64 y (sqrt.f64 #s(literal -1 binary64)))))>
#<alt (*.f64 (pow.f64 (*.f64 #s(literal 1 binary64) x) #s(literal 1/6 binary64)) (cbrt.f64 y))>
#<alt (*.f64 (pow.f64 (*.f64 #s(literal 1 binary64) x) #s(literal 1/6 binary64)) (cbrt.f64 y))>
#<alt (*.f64 (pow.f64 (*.f64 #s(literal 1 binary64) x) #s(literal 1/6 binary64)) (cbrt.f64 y))>
#<alt (*.f64 (pow.f64 (*.f64 #s(literal 1 binary64) x) #s(literal 1/6 binary64)) (cbrt.f64 y))>
#<alt (*.f64 (pow.f64 (*.f64 #s(literal 1 binary64) x) #s(literal 1/6 binary64)) (cbrt.f64 y))>
#<alt (*.f64 (pow.f64 (*.f64 #s(literal 1 binary64) x) #s(literal 1/6 binary64)) (cbrt.f64 y))>
#<alt (*.f64 (pow.f64 (*.f64 #s(literal 1 binary64) x) #s(literal 1/6 binary64)) (cbrt.f64 y))>
#<alt (*.f64 (pow.f64 (*.f64 #s(literal 1 binary64) x) #s(literal 1/6 binary64)) (cbrt.f64 y))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 (*.f64 #s(literal 1 binary64) x) #s(literal 1/6 binary64)) (*.f64 (cbrt.f64 y) (cbrt.f64 #s(literal -1 binary64)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 (*.f64 #s(literal 1 binary64) x) #s(literal 1/6 binary64)) (*.f64 (cbrt.f64 y) (cbrt.f64 #s(literal -1 binary64)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 (*.f64 #s(literal 1 binary64) x) #s(literal 1/6 binary64)) (*.f64 (cbrt.f64 y) (cbrt.f64 #s(literal -1 binary64)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 (*.f64 #s(literal 1 binary64) x) #s(literal 1/6 binary64)) (*.f64 (cbrt.f64 y) (cbrt.f64 #s(literal -1 binary64)))))>
#<alt (*.f64 (sqrt.f64 x) y)>
#<alt (*.f64 (sqrt.f64 x) y)>
#<alt (*.f64 (sqrt.f64 x) y)>
#<alt (*.f64 (sqrt.f64 x) y)>
#<alt (*.f64 (sqrt.f64 x) y)>
#<alt (*.f64 (sqrt.f64 x) y)>
#<alt (*.f64 (sqrt.f64 x) y)>
#<alt (*.f64 (sqrt.f64 x) y)>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 x) (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 x) (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 x) (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 x) (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))>
#<alt (*.f64 (sqrt.f64 x) y)>
#<alt (*.f64 (sqrt.f64 x) y)>
#<alt (*.f64 (sqrt.f64 x) y)>
#<alt (*.f64 (sqrt.f64 x) y)>
#<alt (*.f64 (sqrt.f64 x) y)>
#<alt (*.f64 (sqrt.f64 x) y)>
#<alt (*.f64 (sqrt.f64 x) y)>
#<alt (*.f64 (sqrt.f64 x) y)>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 x) (*.f64 y (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 x) (*.f64 y (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 x) (*.f64 y (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 x) (*.f64 y (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64)))))>
#<alt (*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/6 binary64)) (*.f64 (pow.f64 x #s(literal 1/18 binary64)) (pow.f64 y #s(literal 1/9 binary64))))>
#<alt (*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/6 binary64)) (*.f64 (pow.f64 x #s(literal 1/18 binary64)) (pow.f64 y #s(literal 1/9 binary64))))>
#<alt (*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/6 binary64)) (*.f64 (pow.f64 x #s(literal 1/18 binary64)) (pow.f64 y #s(literal 1/9 binary64))))>
#<alt (*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/6 binary64)) (*.f64 (pow.f64 x #s(literal 1/18 binary64)) (pow.f64 y #s(literal 1/9 binary64))))>
#<alt (*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/6 binary64)) (*.f64 (pow.f64 x #s(literal 1/18 binary64)) (pow.f64 y #s(literal 1/9 binary64))))>
#<alt (*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/6 binary64)) (*.f64 (pow.f64 x #s(literal 1/18 binary64)) (pow.f64 y #s(literal 1/9 binary64))))>
#<alt (*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/6 binary64)) (*.f64 (pow.f64 x #s(literal 1/18 binary64)) (pow.f64 y #s(literal 1/9 binary64))))>
#<alt (*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/6 binary64)) (*.f64 (pow.f64 x #s(literal 1/18 binary64)) (pow.f64 y #s(literal 1/9 binary64))))>
#<alt (*.f64 (pow.f64 (*.f64 #s(literal -1 binary64) x) #s(literal 1/18 binary64)) (pow.f64 (*.f64 #s(literal 1 binary64) (*.f64 y (sqrt.f64 #s(literal -1 binary64)))) #s(literal 1/9 binary64)))>
#<alt (*.f64 (pow.f64 (*.f64 #s(literal -1 binary64) x) #s(literal 1/18 binary64)) (pow.f64 (*.f64 #s(literal 1 binary64) (*.f64 y (sqrt.f64 #s(literal -1 binary64)))) #s(literal 1/9 binary64)))>
#<alt (*.f64 (pow.f64 (*.f64 #s(literal -1 binary64) x) #s(literal 1/18 binary64)) (pow.f64 (*.f64 #s(literal 1 binary64) (*.f64 y (sqrt.f64 #s(literal -1 binary64)))) #s(literal 1/9 binary64)))>
#<alt (*.f64 (pow.f64 (*.f64 #s(literal -1 binary64) x) #s(literal 1/18 binary64)) (pow.f64 (*.f64 #s(literal 1 binary64) (*.f64 y (sqrt.f64 #s(literal -1 binary64)))) #s(literal 1/9 binary64)))>
#<alt (*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/6 binary64)) (*.f64 (pow.f64 x #s(literal 1/18 binary64)) (pow.f64 y #s(literal 1/9 binary64))))>
#<alt (*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/6 binary64)) (*.f64 (pow.f64 x #s(literal 1/18 binary64)) (pow.f64 y #s(literal 1/9 binary64))))>
#<alt (*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/6 binary64)) (*.f64 (pow.f64 x #s(literal 1/18 binary64)) (pow.f64 y #s(literal 1/9 binary64))))>
#<alt (*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/6 binary64)) (*.f64 (pow.f64 x #s(literal 1/18 binary64)) (pow.f64 y #s(literal 1/9 binary64))))>
#<alt (*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/6 binary64)) (*.f64 (pow.f64 x #s(literal 1/18 binary64)) (pow.f64 y #s(literal 1/9 binary64))))>
#<alt (*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/6 binary64)) (*.f64 (pow.f64 x #s(literal 1/18 binary64)) (pow.f64 y #s(literal 1/9 binary64))))>
#<alt (*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/6 binary64)) (*.f64 (pow.f64 x #s(literal 1/18 binary64)) (pow.f64 y #s(literal 1/9 binary64))))>
#<alt (*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/6 binary64)) (*.f64 (pow.f64 x #s(literal 1/18 binary64)) (pow.f64 y #s(literal 1/9 binary64))))>
#<alt (*.f64 (pow.f64 (*.f64 #s(literal -1 binary64) y) #s(literal 1/9 binary64)) (*.f64 (pow.f64 (*.f64 #s(literal 1 binary64) x) #s(literal 1/18 binary64)) (cbrt.f64 (cbrt.f64 #s(literal -1 binary64)))))>
#<alt (*.f64 (pow.f64 (*.f64 #s(literal -1 binary64) y) #s(literal 1/9 binary64)) (*.f64 (pow.f64 (*.f64 #s(literal 1 binary64) x) #s(literal 1/18 binary64)) (cbrt.f64 (cbrt.f64 #s(literal -1 binary64)))))>
#<alt (*.f64 (pow.f64 (*.f64 #s(literal -1 binary64) y) #s(literal 1/9 binary64)) (*.f64 (pow.f64 (*.f64 #s(literal 1 binary64) x) #s(literal 1/18 binary64)) (cbrt.f64 (cbrt.f64 #s(literal -1 binary64)))))>
#<alt (*.f64 (pow.f64 (*.f64 #s(literal -1 binary64) y) #s(literal 1/9 binary64)) (*.f64 (pow.f64 (*.f64 #s(literal 1 binary64) x) #s(literal 1/18 binary64)) (cbrt.f64 (cbrt.f64 #s(literal -1 binary64)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 x) (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 x) (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 x) (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 x) (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))>
Calls

66 calls:

TimeVariablePointExpression
127.0ms
y
@0
(* (* y (cbrt x)) (pow x 1/6))
58.0ms
x
@0
(cbrt (cbrt (* (sqrt x) y)))
25.0ms
x
@0
(* (* y (cbrt x)) (pow x 1/6))
18.0ms
x
@-inf
(cbrt (cbrt (* (sqrt x) y)))
15.0ms
x
@-inf
(pow x 1/6)

rewrite157.0ms (3.3%)

Algorithm
batch-egg-rewrite
Rules
734×log-prod
658×log1p-expm1-u
658×expm1-log1p-u
206×expm1-undefine
206×log1p-undefine
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
027247
1378202
24370202
Stop Event
node limit
Counts
12 → 351
Calls
Call 1
Inputs
(sqrt.f64 (*.f64 x y))
(*.f64 (sqrt.f64 y) (sqrt.f64 (*.f64 x y)))
(pow.f64 x #s(literal 1/6 binary64))
(cbrt.f64 x)
(*.f64 (*.f64 y (cbrt.f64 x)) (pow.f64 x #s(literal 1/6 binary64)))
(*.f64 y (cbrt.f64 x))
(*.f64 (pow.f64 x #s(literal 1/4 binary64)) (*.f64 (pow.f64 x #s(literal 1/4 binary64)) y))
(*.f64 (pow.f64 x #s(literal 1/4 binary64)) y)
(cbrt.f64 (*.f64 (sqrt.f64 x) y))
(pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 (sqrt.f64 x) y))) #s(literal 9 binary64))
(cbrt.f64 (cbrt.f64 (*.f64 (sqrt.f64 x) y)))
(*.f64 (sqrt.f64 x) y)
Outputs
(+.f64 #s(literal 0 binary64) (sqrt.f64 (*.f64 x y)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (*.f64 x y)))) (cbrt.f64 (exp.f64 (sqrt.f64 (*.f64 x y)))))) (log.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (*.f64 x y))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (*.f64 x y))))) (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (*.f64 x y))))))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (*.f64 x y)))) #s(literal 1 binary64))
(*.f64 (sqrt.f64 (*.f64 x y)) #s(literal 1 binary64))
(*.f64 (sqrt.f64 y) (sqrt.f64 x))
(*.f64 (cbrt.f64 x) (sqrt.f64 (*.f64 y (cbrt.f64 x))))
(*.f64 (pow.f64 x #s(literal 1/4 binary64)) (sqrt.f64 (*.f64 y (sqrt.f64 x))))
(*.f64 (sqrt.f64 x) (sqrt.f64 y))
(*.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 x y)))
(*.f64 (cbrt.f64 (sqrt.f64 (*.f64 x y))) (cbrt.f64 (*.f64 x y)))
(*.f64 (cbrt.f64 (*.f64 x y)) (cbrt.f64 (sqrt.f64 (*.f64 x y))))
(*.f64 (pow.f64 (*.f64 x y) #s(literal 1/4 binary64)) (pow.f64 (*.f64 x y) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/2 binary64)) (sqrt.f64 (*.f64 x y)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (*.f64 x y)) #s(literal 2 binary64)) #s(literal 1/2 binary64)) (pow.f64 (cbrt.f64 (*.f64 x y)) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 x y)) #s(literal 2 binary64))) (sqrt.f64 (cbrt.f64 (*.f64 x y))))
(*.f64 (*.f64 (sqrt.f64 x) (cbrt.f64 y)) (cbrt.f64 (sqrt.f64 y)))
(*.f64 (*.f64 (sqrt.f64 x) (pow.f64 y #s(literal 1/4 binary64))) (pow.f64 y #s(literal 1/4 binary64)))
(pow.f64 (*.f64 x y) #s(literal 1/2 binary64))
(pow.f64 (sqrt.f64 (*.f64 x y)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (sqrt.f64 (*.f64 x y))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 x y) #s(literal 3/2 binary64)) #s(literal 1/3 binary64))
(pow.f64 (pow.f64 (*.f64 x y) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(fabs.f64 (sqrt.f64 (*.f64 x y)))
(log.f64 (exp.f64 (sqrt.f64 (*.f64 x y))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (sqrt.f64 (*.f64 x y)))))
(cbrt.f64 (pow.f64 (*.f64 x y) #s(literal 3/2 binary64)))
(cbrt.f64 (*.f64 (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 y #s(literal 3/2 binary64))))
(expm1.f64 (log1p.f64 (sqrt.f64 (*.f64 x y))))
(log1p.f64 (expm1.f64 (sqrt.f64 (*.f64 x y))))
(exp.f64 (log.f64 (sqrt.f64 (*.f64 x y))))
(exp.f64 (*.f64 (log.f64 (*.f64 x y)) #s(literal 1/2 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 x y))) #s(literal 1 binary64)))
(+.f64 #s(literal 0 binary64) (*.f64 y (sqrt.f64 x)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 (sqrt.f64 x)) y)) (cbrt.f64 (pow.f64 (exp.f64 (sqrt.f64 x)) y)))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (sqrt.f64 x)) y))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (sqrt.f64 x)) y))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (sqrt.f64 x)) y))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 y (sqrt.f64 x)))) #s(literal 1 binary64))
(pow.f64 (*.f64 y (sqrt.f64 x)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 y (sqrt.f64 x))) #s(literal 3 binary64))
(pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 y (sqrt.f64 x)))) #s(literal 9 binary64))
(pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 x (pow.f64 y #s(literal 2 binary64))))) #s(literal 9/2 binary64))
(pow.f64 (pow.f64 (*.f64 y (sqrt.f64 x)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (*.f64 x (pow.f64 y #s(literal 2 binary64))) #s(literal 1/2 binary64))
(pow.f64 (sqrt.f64 (*.f64 y (sqrt.f64 x))) #s(literal 2 binary64))
(sqrt.f64 (*.f64 x (pow.f64 y #s(literal 2 binary64))))
(log.f64 (pow.f64 (exp.f64 (sqrt.f64 x)) y))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 y (sqrt.f64 x)))))
(cbrt.f64 (pow.f64 (*.f64 y (sqrt.f64 x)) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 (pow.f64 x #s(literal 1/4 binary64)) #s(literal 3 binary64)) (pow.f64 (*.f64 y (pow.f64 x #s(literal 1/4 binary64))) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (*.f64 y (pow.f64 x #s(literal 1/4 binary64))) #s(literal 3 binary64)) (pow.f64 (pow.f64 x #s(literal 1/4 binary64)) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3/2 binary64))))
(cbrt.f64 (*.f64 (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 y #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (sqrt.f64 x) (pow.f64 (*.f64 y (cbrt.f64 x)) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (*.f64 x y) #s(literal 3/2 binary64)) (pow.f64 y #s(literal 3/2 binary64))))
(cbrt.f64 (*.f64 (pow.f64 y #s(literal 3/2 binary64)) (pow.f64 (*.f64 x y) #s(literal 3/2 binary64))))
(expm1.f64 (log1p.f64 (*.f64 y (sqrt.f64 x))))
(log1p.f64 (expm1.f64 (*.f64 y (sqrt.f64 x))))
(exp.f64 (log.f64 (*.f64 y (sqrt.f64 x))))
(exp.f64 (*.f64 (log.f64 (*.f64 y (sqrt.f64 x))) #s(literal 1 binary64)))
(+.f64 #s(literal 0 binary64) (pow.f64 x #s(literal 1/6 binary64)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (pow.f64 x #s(literal 1/6 binary64)))) (cbrt.f64 (exp.f64 (pow.f64 x #s(literal 1/6 binary64)))))) (log.f64 (cbrt.f64 (exp.f64 (pow.f64 x #s(literal 1/6 binary64))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (pow.f64 x #s(literal 1/6 binary64))))) (log.f64 (sqrt.f64 (exp.f64 (pow.f64 x #s(literal 1/6 binary64))))))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 x #s(literal 1/6 binary64)))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 1/6 binary64)))
(*.f64 (pow.f64 x #s(literal 1/6 binary64)) #s(literal 1 binary64))
(*.f64 (cbrt.f64 (pow.f64 x #s(literal 1/6 binary64))) (cbrt.f64 (cbrt.f64 x)))
(*.f64 (cbrt.f64 (cbrt.f64 x)) (cbrt.f64 (pow.f64 x #s(literal 1/6 binary64))))
(*.f64 (pow.f64 x #s(literal 1/12 binary64)) (pow.f64 x #s(literal 1/12 binary64)))
(*.f64 (pow.f64 (sqrt.f64 x) #s(literal 1/6 binary64)) (pow.f64 (sqrt.f64 x) #s(literal 1/6 binary64)))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/6 binary64)) (pow.f64 x #s(literal 1/6 binary64)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) #s(literal 1/6 binary64)) (pow.f64 (cbrt.f64 x) #s(literal 1/6 binary64)))
(*.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)))) (sqrt.f64 (cbrt.f64 (cbrt.f64 x))))
(sqrt.f64 (cbrt.f64 x))
(fabs.f64 (pow.f64 x #s(literal 1/6 binary64)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (pow.f64 x #s(literal 1/6 binary64)))))
(log.f64 (exp.f64 (pow.f64 x #s(literal 1/6 binary64))))
(cbrt.f64 (sqrt.f64 x))
(expm1.f64 (log1p.f64 (pow.f64 x #s(literal 1/6 binary64))))
(log1p.f64 (expm1.f64 (pow.f64 x #s(literal 1/6 binary64))))
(exp.f64 (*.f64 #s(literal 1/6 binary64) (log.f64 x)))
(exp.f64 (*.f64 (*.f64 #s(literal 1/6 binary64) (log.f64 x)) #s(literal 1 binary64)))
(+.f64 #s(literal 0 binary64) (cbrt.f64 x))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (cbrt.f64 x))) (cbrt.f64 (exp.f64 (cbrt.f64 x))))) (log.f64 (cbrt.f64 (exp.f64 (cbrt.f64 x)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (cbrt.f64 x)))) (log.f64 (sqrt.f64 (exp.f64 (cbrt.f64 x)))))
(-.f64 (exp.f64 (log1p.f64 (cbrt.f64 x))) #s(literal 1 binary64))
(*.f64 (cbrt.f64 x) #s(literal 1 binary64))
(*.f64 (pow.f64 x #s(literal 1/4 binary64)) (pow.f64 x #s(literal 1/12 binary64)))
(*.f64 #s(literal 1 binary64) (cbrt.f64 x))
(*.f64 (pow.f64 x #s(literal 1/6 binary64)) (pow.f64 x #s(literal 1/6 binary64)))
(*.f64 (cbrt.f64 (cbrt.f64 x)) (cbrt.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))))
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(*.f64 (*.f64 (pow.f64 x #s(literal 1/4 binary64)) (*.f64 (sqrt.f64 y) (pow.f64 x #s(literal 1/8 binary64)))) (*.f64 (sqrt.f64 y) (pow.f64 x #s(literal 1/8 binary64))))
(*.f64 (*.f64 (*.f64 y (pow.f64 x #s(literal 1/4 binary64))) (pow.f64 x #s(literal 1/6 binary64))) (pow.f64 x #s(literal 1/12 binary64)))
(*.f64 (*.f64 (*.f64 y (pow.f64 x #s(literal 1/4 binary64))) (pow.f64 x #s(literal 1/8 binary64))) (pow.f64 x #s(literal 1/8 binary64)))
(*.f64 (*.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (cbrt.f64 y))
(*.f64 (*.f64 (cbrt.f64 (*.f64 x (pow.f64 y #s(literal 2 binary64)))) #s(literal 1 binary64)) (cbrt.f64 (*.f64 y (sqrt.f64 x))))
(*.f64 (*.f64 (cbrt.f64 (*.f64 x (pow.f64 y #s(literal 2 binary64)))) (pow.f64 x #s(literal 1/6 binary64))) (cbrt.f64 y))
(*.f64 (*.f64 (cbrt.f64 (*.f64 x (pow.f64 y #s(literal 2 binary64)))) (cbrt.f64 (cbrt.f64 (*.f64 x (pow.f64 y #s(literal 2 binary64)))))) (cbrt.f64 (cbrt.f64 (*.f64 y (sqrt.f64 x)))))
(*.f64 (*.f64 (cbrt.f64 (*.f64 x (pow.f64 y #s(literal 2 binary64)))) (pow.f64 (*.f64 y (sqrt.f64 x)) #s(literal 1/6 binary64))) (pow.f64 (*.f64 y (sqrt.f64 x)) #s(literal 1/6 binary64)))
(*.f64 (*.f64 (pow.f64 x #s(literal 1/6 binary64)) y) (cbrt.f64 x))
(*.f64 (*.f64 (pow.f64 x #s(literal 1/6 binary64)) (pow.f64 (cbrt.f64 (*.f64 y (cbrt.f64 x))) #s(literal 2 binary64))) (cbrt.f64 (*.f64 y (cbrt.f64 x))))
(*.f64 (*.f64 (pow.f64 x #s(literal 1/6 binary64)) (sqrt.f64 (*.f64 y (cbrt.f64 x)))) (sqrt.f64 (*.f64 y (cbrt.f64 x))))
(*.f64 (*.f64 (*.f64 y (cbrt.f64 x)) (cbrt.f64 (cbrt.f64 x))) (cbrt.f64 (pow.f64 x #s(literal 1/6 binary64))))
(*.f64 (*.f64 (*.f64 y (cbrt.f64 x)) (pow.f64 x #s(literal 1/12 binary64))) (pow.f64 x #s(literal 1/12 binary64)))
(*.f64 (*.f64 (sqrt.f64 (*.f64 x y)) (cbrt.f64 y)) (cbrt.f64 (sqrt.f64 y)))
(*.f64 (*.f64 (sqrt.f64 (*.f64 x y)) (pow.f64 y #s(literal 1/4 binary64))) (pow.f64 y #s(literal 1/4 binary64)))
(*.f64 (*.f64 (sqrt.f64 y) (cbrt.f64 (*.f64 x y))) (cbrt.f64 (sqrt.f64 (*.f64 x y))))
(*.f64 (*.f64 (sqrt.f64 y) (pow.f64 (*.f64 x y) #s(literal 1/4 binary64))) (pow.f64 (*.f64 x y) #s(literal 1/4 binary64)))
(sqrt.f64 (*.f64 x (pow.f64 y #s(literal 2 binary64))))
(log.f64 (pow.f64 (exp.f64 (sqrt.f64 x)) y))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 y (sqrt.f64 x)))))
(cbrt.f64 (pow.f64 (*.f64 y (sqrt.f64 x)) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 (pow.f64 x #s(literal 1/4 binary64)) #s(literal 3 binary64)) (pow.f64 (*.f64 y (pow.f64 x #s(literal 1/4 binary64))) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (*.f64 y (pow.f64 x #s(literal 1/4 binary64))) #s(literal 3 binary64)) (pow.f64 (pow.f64 x #s(literal 1/4 binary64)) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3/2 binary64))))
(cbrt.f64 (*.f64 (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 y #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (sqrt.f64 x) (pow.f64 (*.f64 y (cbrt.f64 x)) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (*.f64 x y) #s(literal 3/2 binary64)) (pow.f64 y #s(literal 3/2 binary64))))
(cbrt.f64 (*.f64 (pow.f64 y #s(literal 3/2 binary64)) (pow.f64 (*.f64 x y) #s(literal 3/2 binary64))))
(expm1.f64 (log1p.f64 (*.f64 y (sqrt.f64 x))))
(log1p.f64 (expm1.f64 (*.f64 y (sqrt.f64 x))))
(exp.f64 (log.f64 (*.f64 y (sqrt.f64 x))))
(exp.f64 (*.f64 (log.f64 (*.f64 y (sqrt.f64 x))) #s(literal 1 binary64)))
(+.f64 #s(literal 0 binary64) (cbrt.f64 (cbrt.f64 (*.f64 y (sqrt.f64 x)))))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (cbrt.f64 (cbrt.f64 (*.f64 y (sqrt.f64 x)))))) (cbrt.f64 (exp.f64 (cbrt.f64 (cbrt.f64 (*.f64 y (sqrt.f64 x)))))))) (log.f64 (cbrt.f64 (exp.f64 (cbrt.f64 (cbrt.f64 (*.f64 y (sqrt.f64 x))))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (cbrt.f64 (cbrt.f64 (*.f64 y (sqrt.f64 x))))))) (log.f64 (sqrt.f64 (exp.f64 (cbrt.f64 (cbrt.f64 (*.f64 y (sqrt.f64 x))))))))
(-.f64 (exp.f64 (log1p.f64 (cbrt.f64 (cbrt.f64 (*.f64 y (sqrt.f64 x)))))) #s(literal 1 binary64))
(*.f64 (cbrt.f64 (cbrt.f64 (*.f64 y (sqrt.f64 x)))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (cbrt.f64 (cbrt.f64 (*.f64 y (sqrt.f64 x)))))
(*.f64 (cbrt.f64 (pow.f64 x #s(literal 1/6 binary64))) (pow.f64 (cbrt.f64 y) #s(literal 1/3 binary64)))
(*.f64 (cbrt.f64 (pow.f64 x #s(literal 1/6 binary64))) (cbrt.f64 (cbrt.f64 y)))
(*.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 (*.f64 y (sqrt.f64 x))))) (cbrt.f64 (cbrt.f64 (cbrt.f64 (*.f64 x (pow.f64 y #s(literal 2 binary64)))))))
(*.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 (*.f64 x (pow.f64 y #s(literal 2 binary64)))))) (cbrt.f64 (cbrt.f64 (cbrt.f64 (*.f64 y (sqrt.f64 x))))))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 y (sqrt.f64 x))) #s(literal 1/6 binary64)) (pow.f64 (cbrt.f64 (*.f64 y (sqrt.f64 x))) #s(literal 1/6 binary64)))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/3 binary64)) (cbrt.f64 (cbrt.f64 (*.f64 y (sqrt.f64 x)))))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 x (pow.f64 y #s(literal 2 binary64))))) #s(literal 1/3 binary64)) (cbrt.f64 (cbrt.f64 (cbrt.f64 (*.f64 y (sqrt.f64 x))))))
(*.f64 (pow.f64 (pow.f64 (*.f64 y (sqrt.f64 x)) #s(literal 1/6 binary64)) #s(literal 1/3 binary64)) (pow.f64 (pow.f64 (*.f64 y (sqrt.f64 x)) #s(literal 1/6 binary64)) #s(literal 1/3 binary64)))
(pow.f64 (*.f64 y (sqrt.f64 x)) #s(literal 1/9 binary64))
(pow.f64 (cbrt.f64 (*.f64 y (sqrt.f64 x))) #s(literal 1/3 binary64))
(pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 y (sqrt.f64 x)))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 (*.f64 y (sqrt.f64 x))))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (cbrt.f64 (*.f64 y (sqrt.f64 x))) #s(literal 1/6 binary64)) #s(literal 2 binary64))
(sqrt.f64 (cbrt.f64 (cbrt.f64 (*.f64 x (pow.f64 y #s(literal 2 binary64))))))
(log.f64 (exp.f64 (cbrt.f64 (cbrt.f64 (*.f64 y (sqrt.f64 x))))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (cbrt.f64 (cbrt.f64 (*.f64 y (sqrt.f64 x)))))))
(expm1.f64 (log1p.f64 (cbrt.f64 (cbrt.f64 (*.f64 y (sqrt.f64 x))))))
(log1p.f64 (expm1.f64 (cbrt.f64 (cbrt.f64 (*.f64 y (sqrt.f64 x))))))
(exp.f64 (log.f64 (cbrt.f64 (cbrt.f64 (*.f64 y (sqrt.f64 x))))))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 y (sqrt.f64 x)))) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (cbrt.f64 (*.f64 y (sqrt.f64 x))))) #s(literal 1 binary64)))
(+.f64 #s(literal 0 binary64) (*.f64 y (sqrt.f64 x)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 (sqrt.f64 x)) y)) (cbrt.f64 (pow.f64 (exp.f64 (sqrt.f64 x)) y)))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (sqrt.f64 x)) y))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (sqrt.f64 x)) y))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (sqrt.f64 x)) y))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 y (sqrt.f64 x)))) #s(literal 1 binary64))
(pow.f64 (*.f64 y (sqrt.f64 x)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 y (sqrt.f64 x))) #s(literal 3 binary64))
(pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 y (sqrt.f64 x)))) #s(literal 9 binary64))
(pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 x (pow.f64 y #s(literal 2 binary64))))) #s(literal 9/2 binary64))
(pow.f64 (pow.f64 (*.f64 y (sqrt.f64 x)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (*.f64 x (pow.f64 y #s(literal 2 binary64))) #s(literal 1/2 binary64))
(pow.f64 (sqrt.f64 (*.f64 y (sqrt.f64 x))) #s(literal 2 binary64))
(sqrt.f64 (*.f64 x (pow.f64 y #s(literal 2 binary64))))
(log.f64 (pow.f64 (exp.f64 (sqrt.f64 x)) y))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 y (sqrt.f64 x)))))
(cbrt.f64 (pow.f64 (*.f64 y (sqrt.f64 x)) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 (pow.f64 x #s(literal 1/4 binary64)) #s(literal 3 binary64)) (pow.f64 (*.f64 y (pow.f64 x #s(literal 1/4 binary64))) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (*.f64 y (pow.f64 x #s(literal 1/4 binary64))) #s(literal 3 binary64)) (pow.f64 (pow.f64 x #s(literal 1/4 binary64)) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3/2 binary64))))
(cbrt.f64 (*.f64 (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 y #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (sqrt.f64 x) (pow.f64 (*.f64 y (cbrt.f64 x)) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (*.f64 x y) #s(literal 3/2 binary64)) (pow.f64 y #s(literal 3/2 binary64))))
(cbrt.f64 (*.f64 (pow.f64 y #s(literal 3/2 binary64)) (pow.f64 (*.f64 x y) #s(literal 3/2 binary64))))
(expm1.f64 (log1p.f64 (*.f64 y (sqrt.f64 x))))
(log1p.f64 (expm1.f64 (*.f64 y (sqrt.f64 x))))
(exp.f64 (log.f64 (*.f64 y (sqrt.f64 x))))
(exp.f64 (*.f64 (log.f64 (*.f64 y (sqrt.f64 x))) #s(literal 1 binary64)))

simplify240.0ms (5.1%)

Algorithm
egg-herbie
Rules
620×unswap-sqr
474×fma-neg
444×exp-prod
373×associate-*r*
347×associate-*l*
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
0576107374195974
1992107374195332
22893107374195268
34697107374195176
Stop Event
node limit
Counts
571 → 343
Calls
Call 1
Inputs
(*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 (*.f64 x y)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 (*.f64 x y)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 (*.f64 x y)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 (*.f64 x y)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 (*.f64 x y)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 (*.f64 x y)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 (*.f64 x y)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 (*.f64 x y)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))
(*.f64 (sqrt.f64 x) y)
(*.f64 (sqrt.f64 x) y)
(*.f64 (sqrt.f64 x) y)
(*.f64 (sqrt.f64 x) y)
(*.f64 (sqrt.f64 x) y)
(*.f64 (sqrt.f64 x) y)
(*.f64 (sqrt.f64 x) y)
(*.f64 (sqrt.f64 x) y)
(*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 x) (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))
(*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 x) (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))
(*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 x) (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))
(*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 x) (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))
(*.f64 (sqrt.f64 x) y)
(*.f64 (sqrt.f64 x) y)
(*.f64 (sqrt.f64 x) y)
(*.f64 (sqrt.f64 x) y)
(*.f64 (sqrt.f64 x) y)
(*.f64 (sqrt.f64 x) y)
(*.f64 (sqrt.f64 x) y)
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(*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 x) (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))
(*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 x) (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))
(*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 x) (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))
(*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 x) (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))
(pow.f64 (*.f64 #s(literal 1 binary64) x) #s(literal 1/6 binary64))
(pow.f64 (*.f64 #s(literal 1 binary64) x) #s(literal 1/6 binary64))
(pow.f64 (*.f64 #s(literal 1 binary64) x) #s(literal 1/6 binary64))
(pow.f64 (*.f64 #s(literal 1 binary64) x) #s(literal 1/6 binary64))
(pow.f64 (*.f64 #s(literal 1 binary64) x) #s(literal 1/6 binary64))
(pow.f64 (*.f64 #s(literal 1 binary64) x) #s(literal 1/6 binary64))
(pow.f64 (*.f64 #s(literal 1 binary64) x) #s(literal 1/6 binary64))
(pow.f64 (*.f64 #s(literal 1 binary64) x) #s(literal 1/6 binary64))
(exp.f64 (*.f64 #s(literal 1/6 binary64) (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x))))))
(exp.f64 (*.f64 #s(literal 1/6 binary64) (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x))))))
(exp.f64 (*.f64 #s(literal 1/6 binary64) (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x))))))
(exp.f64 (*.f64 #s(literal 1/6 binary64) (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x))))))
(*.f64 #s(literal -1 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))))
(*.f64 (sqrt.f64 x) y)
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(*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 #s(literal -1 binary64) #s(literal 1/6 binary64)) (*.f64 (sqrt.f64 x) (*.f64 y (*.f64 (cbrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal -1 binary64)))))))
(*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 #s(literal -1 binary64) #s(literal 1/6 binary64)) (*.f64 (sqrt.f64 x) (*.f64 y (*.f64 (cbrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal -1 binary64)))))))
(*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 #s(literal -1 binary64) #s(literal 1/6 binary64)) (*.f64 (sqrt.f64 x) (*.f64 y (*.f64 (cbrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal -1 binary64)))))))
(*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 #s(literal -1 binary64) #s(literal 1/6 binary64)) (*.f64 (sqrt.f64 x) (*.f64 y (*.f64 (cbrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal -1 binary64)))))))
(*.f64 (cbrt.f64 x) y)
(*.f64 (cbrt.f64 x) y)
(*.f64 (cbrt.f64 x) y)
(*.f64 (cbrt.f64 x) y)
(*.f64 (cbrt.f64 x) y)
(*.f64 (cbrt.f64 x) y)
(*.f64 (cbrt.f64 x) y)
(*.f64 (cbrt.f64 x) y)
(*.f64 (cbrt.f64 x) y)
(*.f64 (cbrt.f64 x) y)
(*.f64 (cbrt.f64 x) y)
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(*.f64 (cbrt.f64 x) y)
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(*.f64 (cbrt.f64 x) y)
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(*.f64 (cbrt.f64 x) y)
(*.f64 (cbrt.f64 x) y)
(*.f64 (cbrt.f64 x) y)
(*.f64 #s(literal -1 binary64) (*.f64 (cbrt.f64 x) (*.f64 y (cbrt.f64 #s(literal -1 binary64)))))
(*.f64 #s(literal -1 binary64) (*.f64 (cbrt.f64 x) (*.f64 y (cbrt.f64 #s(literal -1 binary64)))))
(*.f64 #s(literal -1 binary64) (*.f64 (cbrt.f64 x) (*.f64 y (cbrt.f64 #s(literal -1 binary64)))))
(*.f64 #s(literal -1 binary64) (*.f64 (cbrt.f64 x) (*.f64 y (cbrt.f64 #s(literal -1 binary64)))))
(*.f64 (sqrt.f64 x) y)
(*.f64 (sqrt.f64 x) y)
(*.f64 (sqrt.f64 x) y)
(*.f64 (sqrt.f64 x) y)
(*.f64 (sqrt.f64 x) y)
(*.f64 (sqrt.f64 x) y)
(*.f64 (sqrt.f64 x) y)
(*.f64 (sqrt.f64 x) y)
(*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 x) (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))
(*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 x) (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))
(*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 x) (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))
(*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 x) (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))
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(*.f64 (cbrt.f64 (*.f64 x (pow.f64 y #s(literal 2 binary64)))) (cbrt.f64 (*.f64 y (sqrt.f64 x))))
(*.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (*.f64 (cbrt.f64 y) (sqrt.f64 x)))
(*.f64 (pow.f64 y #s(literal 1/4 binary64)) (*.f64 (pow.f64 y #s(literal 1/4 binary64)) (sqrt.f64 (*.f64 x y))))
(*.f64 (pow.f64 (*.f64 x y) #s(literal 1/4 binary64)) (*.f64 (pow.f64 (*.f64 x y) #s(literal 1/4 binary64)) (sqrt.f64 y)))
(*.f64 (*.f64 (sqrt.f64 y) (pow.f64 x #s(literal 1/8 binary64))) (*.f64 (*.f64 (sqrt.f64 y) (pow.f64 x #s(literal 1/8 binary64))) (pow.f64 x #s(literal 1/4 binary64))))
(*.f64 (sqrt.f64 (*.f64 y (cbrt.f64 x))) (*.f64 (sqrt.f64 (*.f64 y (cbrt.f64 x))) (pow.f64 x #s(literal 1/6 binary64))))
(*.f64 (pow.f64 x #s(literal 1/12 binary64)) (*.f64 (pow.f64 x #s(literal 1/12 binary64)) (*.f64 y (cbrt.f64 x))))
(*.f64 (sqrt.f64 (*.f64 y (sqrt.f64 x))) (sqrt.f64 (*.f64 y (sqrt.f64 x))))
(*.f64 (pow.f64 x #s(literal 1/8 binary64)) (*.f64 (pow.f64 x #s(literal 1/8 binary64)) (*.f64 y (pow.f64 x #s(literal 1/4 binary64)))))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 (*.f64 x (pow.f64 y #s(literal 2 binary64)))))) #s(literal 9 binary64)) (pow.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 (*.f64 y (sqrt.f64 x))))) #s(literal 9 binary64)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (*.f64 y (sqrt.f64 x))) #s(literal 1/6 binary64)) #s(literal 9 binary64)) (pow.f64 (pow.f64 (cbrt.f64 (*.f64 y (sqrt.f64 x))) #s(literal 1/6 binary64)) #s(literal 9 binary64)))
(*.f64 (*.f64 (pow.f64 x #s(literal 1/4 binary64)) (cbrt.f64 (*.f64 (sqrt.f64 x) (pow.f64 y #s(literal 2 binary64))))) (*.f64 (cbrt.f64 y) (pow.f64 x #s(literal 1/12 binary64))))
(*.f64 (*.f64 (pow.f64 x #s(literal 1/4 binary64)) (*.f64 (sqrt.f64 y) (pow.f64 x #s(literal 1/8 binary64)))) (*.f64 (sqrt.f64 y) (pow.f64 x #s(literal 1/8 binary64))))
(*.f64 (*.f64 (*.f64 y (pow.f64 x #s(literal 1/4 binary64))) (pow.f64 x #s(literal 1/6 binary64))) (pow.f64 x #s(literal 1/12 binary64)))
(*.f64 (*.f64 (*.f64 y (pow.f64 x #s(literal 1/4 binary64))) (pow.f64 x #s(literal 1/8 binary64))) (pow.f64 x #s(literal 1/8 binary64)))
(*.f64 (*.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (cbrt.f64 y))
(*.f64 (*.f64 (cbrt.f64 (*.f64 x (pow.f64 y #s(literal 2 binary64)))) #s(literal 1 binary64)) (cbrt.f64 (*.f64 y (sqrt.f64 x))))
(*.f64 (*.f64 (cbrt.f64 (*.f64 x (pow.f64 y #s(literal 2 binary64)))) (pow.f64 x #s(literal 1/6 binary64))) (cbrt.f64 y))
(*.f64 (*.f64 (cbrt.f64 (*.f64 x (pow.f64 y #s(literal 2 binary64)))) (cbrt.f64 (cbrt.f64 (*.f64 x (pow.f64 y #s(literal 2 binary64)))))) (cbrt.f64 (cbrt.f64 (*.f64 y (sqrt.f64 x)))))
(*.f64 (*.f64 (cbrt.f64 (*.f64 x (pow.f64 y #s(literal 2 binary64)))) (pow.f64 (*.f64 y (sqrt.f64 x)) #s(literal 1/6 binary64))) (pow.f64 (*.f64 y (sqrt.f64 x)) #s(literal 1/6 binary64)))
(*.f64 (*.f64 (pow.f64 x #s(literal 1/6 binary64)) y) (cbrt.f64 x))
(*.f64 (*.f64 (pow.f64 x #s(literal 1/6 binary64)) (pow.f64 (cbrt.f64 (*.f64 y (cbrt.f64 x))) #s(literal 2 binary64))) (cbrt.f64 (*.f64 y (cbrt.f64 x))))
(*.f64 (*.f64 (pow.f64 x #s(literal 1/6 binary64)) (sqrt.f64 (*.f64 y (cbrt.f64 x)))) (sqrt.f64 (*.f64 y (cbrt.f64 x))))
(*.f64 (*.f64 (*.f64 y (cbrt.f64 x)) (cbrt.f64 (cbrt.f64 x))) (cbrt.f64 (pow.f64 x #s(literal 1/6 binary64))))
(*.f64 (*.f64 (*.f64 y (cbrt.f64 x)) (pow.f64 x #s(literal 1/12 binary64))) (pow.f64 x #s(literal 1/12 binary64)))
(*.f64 (*.f64 (sqrt.f64 (*.f64 x y)) (cbrt.f64 y)) (cbrt.f64 (sqrt.f64 y)))
(*.f64 (*.f64 (sqrt.f64 (*.f64 x y)) (pow.f64 y #s(literal 1/4 binary64))) (pow.f64 y #s(literal 1/4 binary64)))
(*.f64 (*.f64 (sqrt.f64 y) (cbrt.f64 (*.f64 x y))) (cbrt.f64 (sqrt.f64 (*.f64 x y))))
(*.f64 (*.f64 (sqrt.f64 y) (pow.f64 (*.f64 x y) #s(literal 1/4 binary64))) (pow.f64 (*.f64 x y) #s(literal 1/4 binary64)))
(sqrt.f64 (*.f64 x (pow.f64 y #s(literal 2 binary64))))
(log.f64 (pow.f64 (exp.f64 (sqrt.f64 x)) y))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 y (sqrt.f64 x)))))
(cbrt.f64 (pow.f64 (*.f64 y (sqrt.f64 x)) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 (pow.f64 x #s(literal 1/4 binary64)) #s(literal 3 binary64)) (pow.f64 (*.f64 y (pow.f64 x #s(literal 1/4 binary64))) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (*.f64 y (pow.f64 x #s(literal 1/4 binary64))) #s(literal 3 binary64)) (pow.f64 (pow.f64 x #s(literal 1/4 binary64)) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3/2 binary64))))
(cbrt.f64 (*.f64 (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 y #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (sqrt.f64 x) (pow.f64 (*.f64 y (cbrt.f64 x)) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (*.f64 x y) #s(literal 3/2 binary64)) (pow.f64 y #s(literal 3/2 binary64))))
(cbrt.f64 (*.f64 (pow.f64 y #s(literal 3/2 binary64)) (pow.f64 (*.f64 x y) #s(literal 3/2 binary64))))
(expm1.f64 (log1p.f64 (*.f64 y (sqrt.f64 x))))
(log1p.f64 (expm1.f64 (*.f64 y (sqrt.f64 x))))
(exp.f64 (log.f64 (*.f64 y (sqrt.f64 x))))
(exp.f64 (*.f64 (log.f64 (*.f64 y (sqrt.f64 x))) #s(literal 1 binary64)))
(+.f64 #s(literal 0 binary64) (cbrt.f64 (cbrt.f64 (*.f64 y (sqrt.f64 x)))))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (cbrt.f64 (cbrt.f64 (*.f64 y (sqrt.f64 x)))))) (cbrt.f64 (exp.f64 (cbrt.f64 (cbrt.f64 (*.f64 y (sqrt.f64 x)))))))) (log.f64 (cbrt.f64 (exp.f64 (cbrt.f64 (cbrt.f64 (*.f64 y (sqrt.f64 x))))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (cbrt.f64 (cbrt.f64 (*.f64 y (sqrt.f64 x))))))) (log.f64 (sqrt.f64 (exp.f64 (cbrt.f64 (cbrt.f64 (*.f64 y (sqrt.f64 x))))))))
(-.f64 (exp.f64 (log1p.f64 (cbrt.f64 (cbrt.f64 (*.f64 y (sqrt.f64 x)))))) #s(literal 1 binary64))
(*.f64 (cbrt.f64 (cbrt.f64 (*.f64 y (sqrt.f64 x)))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (cbrt.f64 (cbrt.f64 (*.f64 y (sqrt.f64 x)))))
(*.f64 (cbrt.f64 (pow.f64 x #s(literal 1/6 binary64))) (pow.f64 (cbrt.f64 y) #s(literal 1/3 binary64)))
(*.f64 (cbrt.f64 (pow.f64 x #s(literal 1/6 binary64))) (cbrt.f64 (cbrt.f64 y)))
(*.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 (*.f64 y (sqrt.f64 x))))) (cbrt.f64 (cbrt.f64 (cbrt.f64 (*.f64 x (pow.f64 y #s(literal 2 binary64)))))))
(*.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 (*.f64 x (pow.f64 y #s(literal 2 binary64)))))) (cbrt.f64 (cbrt.f64 (cbrt.f64 (*.f64 y (sqrt.f64 x))))))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 y (sqrt.f64 x))) #s(literal 1/6 binary64)) (pow.f64 (cbrt.f64 (*.f64 y (sqrt.f64 x))) #s(literal 1/6 binary64)))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/3 binary64)) (cbrt.f64 (cbrt.f64 (*.f64 y (sqrt.f64 x)))))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 x (pow.f64 y #s(literal 2 binary64))))) #s(literal 1/3 binary64)) (cbrt.f64 (cbrt.f64 (cbrt.f64 (*.f64 y (sqrt.f64 x))))))
(*.f64 (pow.f64 (pow.f64 (*.f64 y (sqrt.f64 x)) #s(literal 1/6 binary64)) #s(literal 1/3 binary64)) (pow.f64 (pow.f64 (*.f64 y (sqrt.f64 x)) #s(literal 1/6 binary64)) #s(literal 1/3 binary64)))
(pow.f64 (*.f64 y (sqrt.f64 x)) #s(literal 1/9 binary64))
(pow.f64 (cbrt.f64 (*.f64 y (sqrt.f64 x))) #s(literal 1/3 binary64))
(pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 y (sqrt.f64 x)))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 (*.f64 y (sqrt.f64 x))))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (cbrt.f64 (*.f64 y (sqrt.f64 x))) #s(literal 1/6 binary64)) #s(literal 2 binary64))
(sqrt.f64 (cbrt.f64 (cbrt.f64 (*.f64 x (pow.f64 y #s(literal 2 binary64))))))
(log.f64 (exp.f64 (cbrt.f64 (cbrt.f64 (*.f64 y (sqrt.f64 x))))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (cbrt.f64 (cbrt.f64 (*.f64 y (sqrt.f64 x)))))))
(expm1.f64 (log1p.f64 (cbrt.f64 (cbrt.f64 (*.f64 y (sqrt.f64 x))))))
(log1p.f64 (expm1.f64 (cbrt.f64 (cbrt.f64 (*.f64 y (sqrt.f64 x))))))
(exp.f64 (log.f64 (cbrt.f64 (cbrt.f64 (*.f64 y (sqrt.f64 x))))))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 y (sqrt.f64 x)))) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (cbrt.f64 (*.f64 y (sqrt.f64 x))))) #s(literal 1 binary64)))
(+.f64 #s(literal 0 binary64) (*.f64 y (sqrt.f64 x)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 (sqrt.f64 x)) y)) (cbrt.f64 (pow.f64 (exp.f64 (sqrt.f64 x)) y)))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (sqrt.f64 x)) y))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (sqrt.f64 x)) y))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (sqrt.f64 x)) y))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 y (sqrt.f64 x)))) #s(literal 1 binary64))
(pow.f64 (*.f64 y (sqrt.f64 x)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 y (sqrt.f64 x))) #s(literal 3 binary64))
(pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 y (sqrt.f64 x)))) #s(literal 9 binary64))
(pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 x (pow.f64 y #s(literal 2 binary64))))) #s(literal 9/2 binary64))
(pow.f64 (pow.f64 (*.f64 y (sqrt.f64 x)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (*.f64 x (pow.f64 y #s(literal 2 binary64))) #s(literal 1/2 binary64))
(pow.f64 (sqrt.f64 (*.f64 y (sqrt.f64 x))) #s(literal 2 binary64))
(sqrt.f64 (*.f64 x (pow.f64 y #s(literal 2 binary64))))
(log.f64 (pow.f64 (exp.f64 (sqrt.f64 x)) y))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 y (sqrt.f64 x)))))
(cbrt.f64 (pow.f64 (*.f64 y (sqrt.f64 x)) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 (pow.f64 x #s(literal 1/4 binary64)) #s(literal 3 binary64)) (pow.f64 (*.f64 y (pow.f64 x #s(literal 1/4 binary64))) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (*.f64 y (pow.f64 x #s(literal 1/4 binary64))) #s(literal 3 binary64)) (pow.f64 (pow.f64 x #s(literal 1/4 binary64)) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3/2 binary64))))
(cbrt.f64 (*.f64 (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 y #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (sqrt.f64 x) (pow.f64 (*.f64 y (cbrt.f64 x)) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (*.f64 x y) #s(literal 3/2 binary64)) (pow.f64 y #s(literal 3/2 binary64))))
(cbrt.f64 (*.f64 (pow.f64 y #s(literal 3/2 binary64)) (pow.f64 (*.f64 x y) #s(literal 3/2 binary64))))
(expm1.f64 (log1p.f64 (*.f64 y (sqrt.f64 x))))
(log1p.f64 (expm1.f64 (*.f64 y (sqrt.f64 x))))
(exp.f64 (log.f64 (*.f64 y (sqrt.f64 x))))
(exp.f64 (*.f64 (log.f64 (*.f64 y (sqrt.f64 x))) #s(literal 1 binary64)))
Outputs
(*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 (*.f64 x y)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))
(neg.f64 (*.f64 (sqrt.f64 (*.f64 x y)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))
(sqrt.f64 (*.f64 x y))
(*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 (*.f64 x y)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))
(neg.f64 (*.f64 (sqrt.f64 (*.f64 x y)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))
(sqrt.f64 (*.f64 x y))
(*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 (*.f64 x y)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))
(neg.f64 (*.f64 (sqrt.f64 (*.f64 x y)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))
(sqrt.f64 (*.f64 x y))
(*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 (*.f64 x y)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))
(neg.f64 (*.f64 (sqrt.f64 (*.f64 x y)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))
(sqrt.f64 (*.f64 x y))
(*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 (*.f64 x y)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))
(neg.f64 (*.f64 (sqrt.f64 (*.f64 x y)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))
(sqrt.f64 (*.f64 x y))
(*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 (*.f64 x y)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))
(neg.f64 (*.f64 (sqrt.f64 (*.f64 x y)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))
(sqrt.f64 (*.f64 x y))
(*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 (*.f64 x y)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))
(neg.f64 (*.f64 (sqrt.f64 (*.f64 x y)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))
(sqrt.f64 (*.f64 x y))
(*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 (*.f64 x y)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))
(neg.f64 (*.f64 (sqrt.f64 (*.f64 x y)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))
(sqrt.f64 (*.f64 x y))
(*.f64 (sqrt.f64 x) y)
(*.f64 y (sqrt.f64 x))
(*.f64 (sqrt.f64 x) y)
(*.f64 y (sqrt.f64 x))
(*.f64 (sqrt.f64 x) y)
(*.f64 y (sqrt.f64 x))
(*.f64 (sqrt.f64 x) y)
(*.f64 y (sqrt.f64 x))
(*.f64 (sqrt.f64 x) y)
(*.f64 y (sqrt.f64 x))
(*.f64 (sqrt.f64 x) y)
(*.f64 y (sqrt.f64 x))
(*.f64 (sqrt.f64 x) y)
(*.f64 y (sqrt.f64 x))
(*.f64 (sqrt.f64 x) y)
(*.f64 y (sqrt.f64 x))
(*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 x) (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))
(*.f64 y (sqrt.f64 x))
(*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 x) (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))
(*.f64 y (sqrt.f64 x))
(*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 x) (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))
(*.f64 y (sqrt.f64 x))
(*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 x) (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))
(*.f64 y (sqrt.f64 x))
(*.f64 (sqrt.f64 x) y)
(*.f64 y (sqrt.f64 x))
(*.f64 (sqrt.f64 x) y)
(*.f64 y (sqrt.f64 x))
(*.f64 (sqrt.f64 x) y)
(*.f64 y (sqrt.f64 x))
(*.f64 (sqrt.f64 x) y)
(*.f64 y (sqrt.f64 x))
(*.f64 (sqrt.f64 x) y)
(*.f64 y (sqrt.f64 x))
(*.f64 (sqrt.f64 x) y)
(*.f64 y (sqrt.f64 x))
(*.f64 (sqrt.f64 x) y)
(*.f64 y (sqrt.f64 x))
(*.f64 (sqrt.f64 x) y)
(*.f64 y (sqrt.f64 x))
(*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 x) (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))
(*.f64 y (sqrt.f64 x))
(*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 x) (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))
(*.f64 y (sqrt.f64 x))
(*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 x) (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))
(*.f64 y (sqrt.f64 x))
(*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 x) (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))
(*.f64 y (sqrt.f64 x))
(pow.f64 (*.f64 #s(literal 1 binary64) x) #s(literal 1/6 binary64))
(pow.f64 x #s(literal 1/6 binary64))
(pow.f64 (*.f64 #s(literal 1 binary64) x) #s(literal 1/6 binary64))
(pow.f64 x #s(literal 1/6 binary64))
(pow.f64 (*.f64 #s(literal 1 binary64) x) #s(literal 1/6 binary64))
(pow.f64 x #s(literal 1/6 binary64))
(pow.f64 (*.f64 #s(literal 1 binary64) x) #s(literal 1/6 binary64))
(pow.f64 x #s(literal 1/6 binary64))
(pow.f64 (*.f64 #s(literal 1 binary64) x) #s(literal 1/6 binary64))
(pow.f64 x #s(literal 1/6 binary64))
(pow.f64 (*.f64 #s(literal 1 binary64) x) #s(literal 1/6 binary64))
(pow.f64 x #s(literal 1/6 binary64))
(pow.f64 (*.f64 #s(literal 1 binary64) x) #s(literal 1/6 binary64))
(pow.f64 x #s(literal 1/6 binary64))
(pow.f64 (*.f64 #s(literal 1 binary64) x) #s(literal 1/6 binary64))
(pow.f64 x #s(literal 1/6 binary64))
(exp.f64 (*.f64 #s(literal 1/6 binary64) (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x))))))
(pow.f64 (exp.f64 #s(literal 1/6 binary64)) (+.f64 (log.f64 #s(literal -1 binary64)) (neg.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)))))
(pow.f64 (exp.f64 #s(literal 1/6 binary64)) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))))
(*.f64 (pow.f64 #s(literal -1 binary64) #s(literal 1/6 binary64)) (pow.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1/6 binary64)))
(pow.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) x)) #s(literal 1/6 binary64))
(exp.f64 (*.f64 #s(literal 1/6 binary64) (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x))))))
(pow.f64 (exp.f64 #s(literal 1/6 binary64)) (+.f64 (log.f64 #s(literal -1 binary64)) (neg.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)))))
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(pow.f64 (cbrt.f64 (*.f64 y (sqrt.f64 x))) #s(literal 3 binary64))
(*.f64 y (sqrt.f64 x))
(pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 y (sqrt.f64 x)))) #s(literal 9 binary64))
(pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 x (pow.f64 y #s(literal 2 binary64))))) #s(literal 9/2 binary64))
(pow.f64 (pow.f64 (*.f64 y (sqrt.f64 x)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(*.f64 y (sqrt.f64 x))
(pow.f64 (*.f64 x (pow.f64 y #s(literal 2 binary64))) #s(literal 1/2 binary64))
(sqrt.f64 (*.f64 x (pow.f64 y #s(literal 2 binary64))))
(fabs.f64 (*.f64 y (sqrt.f64 x)))
(pow.f64 (sqrt.f64 (*.f64 y (sqrt.f64 x))) #s(literal 2 binary64))
(*.f64 y (sqrt.f64 x))
(sqrt.f64 (*.f64 x (pow.f64 y #s(literal 2 binary64))))
(fabs.f64 (*.f64 y (sqrt.f64 x)))
(log.f64 (pow.f64 (exp.f64 (sqrt.f64 x)) y))
(*.f64 y (sqrt.f64 x))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 y (sqrt.f64 x)))))
(*.f64 y (sqrt.f64 x))
(cbrt.f64 (pow.f64 (*.f64 y (sqrt.f64 x)) #s(literal 3 binary64)))
(*.f64 y (sqrt.f64 x))
(cbrt.f64 (*.f64 (pow.f64 (pow.f64 x #s(literal 1/4 binary64)) #s(literal 3 binary64)) (pow.f64 (*.f64 y (pow.f64 x #s(literal 1/4 binary64))) #s(literal 3 binary64))))
(*.f64 y (sqrt.f64 x))
(cbrt.f64 (*.f64 (pow.f64 (*.f64 y (pow.f64 x #s(literal 1/4 binary64))) #s(literal 3 binary64)) (pow.f64 (pow.f64 x #s(literal 1/4 binary64)) #s(literal 3 binary64))))
(*.f64 y (sqrt.f64 x))
(cbrt.f64 (*.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3/2 binary64))))
(*.f64 y (sqrt.f64 x))
(cbrt.f64 (*.f64 (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 y #s(literal 3 binary64))))
(*.f64 y (sqrt.f64 x))
(cbrt.f64 (*.f64 (sqrt.f64 x) (pow.f64 (*.f64 y (cbrt.f64 x)) #s(literal 3 binary64))))
(*.f64 y (sqrt.f64 x))
(cbrt.f64 (*.f64 (pow.f64 (*.f64 x y) #s(literal 3/2 binary64)) (pow.f64 y #s(literal 3/2 binary64))))
(cbrt.f64 (*.f64 (pow.f64 y #s(literal 3/2 binary64)) (pow.f64 (*.f64 x y) #s(literal 3/2 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (*.f64 x y) #s(literal 3/2 binary64)) (pow.f64 y #s(literal 3/2 binary64))))
(expm1.f64 (log1p.f64 (*.f64 y (sqrt.f64 x))))
(*.f64 y (sqrt.f64 x))
(log1p.f64 (expm1.f64 (*.f64 y (sqrt.f64 x))))
(*.f64 y (sqrt.f64 x))
(exp.f64 (log.f64 (*.f64 y (sqrt.f64 x))))
(*.f64 y (sqrt.f64 x))
(exp.f64 (*.f64 (log.f64 (*.f64 y (sqrt.f64 x))) #s(literal 1 binary64)))
(*.f64 y (sqrt.f64 x))

eval102.0ms (2.1%)

Compiler

Compiled 5645 to 3294 computations (41.6% saved)

prune229.0ms (4.8%)

Pruning

9 alts after pruning (2 fresh and 7 done)

PrunedKeptTotal
New3412343
Fresh000
Picked134
Done044
Total3429351
Accuracy
100.0%
Counts
351 → 9
Alt Table
Click to see full alt table
StatusAccuracyProgram
51.0%
(+.f64 (-.f64 #s(literal 1 binary64) x) (pow.f64 (sqrt.f64 (*.f64 y (sqrt.f64 x))) #s(literal 2 binary64)))
99.2%
(+.f64 (-.f64 #s(literal 1 binary64) x) (pow.f64 (cbrt.f64 (*.f64 y (sqrt.f64 x))) #s(literal 3 binary64)))
99.8%
(+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 (pow.f64 x #s(literal 1/4 binary64)) (*.f64 (pow.f64 x #s(literal 1/4 binary64)) y)))
99.8%
(+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 (pow.f64 x #s(literal 1/4 binary64)) (*.f64 y (pow.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) x)) #s(literal 1/4 binary64)))))
98.0%
(+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 (*.f64 y (cbrt.f64 x)) (pow.f64 x #s(literal 1/6 binary64))))
99.4%
(+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 (*.f64 y (cbrt.f64 x)) (cbrt.f64 (sqrt.f64 x))))
46.3%
(+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 (sqrt.f64 y) (sqrt.f64 (*.f64 x y))))
99.8%
(+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (sqrt.f64 x)))
61.8%
(+.f64 (-.f64 #s(literal 1 binary64) x) (sqrt.f64 (*.f64 x (pow.f64 y #s(literal 2 binary64)))))
Compiler

Compiled 123 to 91 computations (26% saved)

localize236.0ms (5%)

Localize:

Found 7 expressions with local error:

NewAccuracyProgram
99.7%
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) x))
99.7%
(*.f64 y (pow.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) x)) #s(literal 1/4 binary64)))
99.5%
(*.f64 (pow.f64 x #s(literal 1/4 binary64)) (*.f64 y (pow.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) x)) #s(literal 1/4 binary64))))
99.7%
(*.f64 y (cbrt.f64 x))
99.5%
(*.f64 (*.f64 y (cbrt.f64 x)) (cbrt.f64 (sqrt.f64 x)))
99.1%
(cbrt.f64 x)
99.1%
(cbrt.f64 (sqrt.f64 x))
Results
181.0ms241×256valid
8.0ms15×256infinite
Compiler

Compiled 105 to 63 computations (40% saved)

Precisions
Click to see histograms. Total time spent on operations: 155.0ms
ival-pow: 98.0ms (63.2% of total)
ival-div: 23.0ms (14.8% of total)
ival-mult: 15.0ms (9.7% of total)
ival-sub: 7.0ms (4.5% of total)
ival-add: 4.0ms (2.6% of total)
const: 4.0ms (2.6% of total)
ival-cbrt: 4.0ms (2.6% of total)
ival-sqrt: 2.0ms (1.3% of total)

series9.0ms (0.2%)

Counts
5 → 96
Calls
Call 1
Inputs
#<alt (cbrt.f64 (sqrt.f64 x))>
#<alt (*.f64 (*.f64 y (cbrt.f64 x)) (cbrt.f64 (sqrt.f64 x)))>
#<alt (*.f64 (pow.f64 x #s(literal 1/4 binary64)) (*.f64 y (pow.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) x)) #s(literal 1/4 binary64))))>
#<alt (*.f64 y (pow.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) x)) #s(literal 1/4 binary64)))>
#<alt (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) x))>
Outputs
#<alt (pow.f64 (*.f64 #s(literal 1 binary64) x) #s(literal 1/6 binary64))>
#<alt (pow.f64 (*.f64 #s(literal 1 binary64) x) #s(literal 1/6 binary64))>
#<alt (pow.f64 (*.f64 #s(literal 1 binary64) x) #s(literal 1/6 binary64))>
#<alt (pow.f64 (*.f64 #s(literal 1 binary64) x) #s(literal 1/6 binary64))>
#<alt (pow.f64 (*.f64 #s(literal 1 binary64) x) #s(literal 1/6 binary64))>
#<alt (pow.f64 (*.f64 #s(literal 1 binary64) x) #s(literal 1/6 binary64))>
#<alt (pow.f64 (*.f64 #s(literal 1 binary64) x) #s(literal 1/6 binary64))>
#<alt (pow.f64 (*.f64 #s(literal 1 binary64) x) #s(literal 1/6 binary64))>
#<alt (*.f64 (pow.f64 (*.f64 #s(literal -1 binary64) x) #s(literal 1/6 binary64)) (cbrt.f64 (sqrt.f64 #s(literal -1 binary64))))>
#<alt (*.f64 (pow.f64 (*.f64 #s(literal -1 binary64) x) #s(literal 1/6 binary64)) (cbrt.f64 (sqrt.f64 #s(literal -1 binary64))))>
#<alt (*.f64 (pow.f64 (*.f64 #s(literal -1 binary64) x) #s(literal 1/6 binary64)) (cbrt.f64 (sqrt.f64 #s(literal -1 binary64))))>
#<alt (*.f64 (pow.f64 (*.f64 #s(literal -1 binary64) x) #s(literal 1/6 binary64)) (cbrt.f64 (sqrt.f64 #s(literal -1 binary64))))>
#<alt (*.f64 (sqrt.f64 x) y)>
#<alt (*.f64 (sqrt.f64 x) y)>
#<alt (*.f64 (sqrt.f64 x) y)>
#<alt (*.f64 (sqrt.f64 x) y)>
#<alt (*.f64 (sqrt.f64 x) y)>
#<alt (*.f64 (sqrt.f64 x) y)>
#<alt (*.f64 (sqrt.f64 x) y)>
#<alt (*.f64 (sqrt.f64 x) y)>
#<alt (*.f64 (sqrt.f64 x) y)>
#<alt (*.f64 (sqrt.f64 x) y)>
#<alt (*.f64 (sqrt.f64 x) y)>
#<alt (*.f64 (sqrt.f64 x) y)>
#<alt (*.f64 (sqrt.f64 x) y)>
#<alt (*.f64 (sqrt.f64 x) y)>
#<alt (*.f64 (sqrt.f64 x) y)>
#<alt (*.f64 (sqrt.f64 x) y)>
#<alt (*.f64 (sqrt.f64 x) y)>
#<alt (*.f64 (sqrt.f64 x) y)>
#<alt (*.f64 (sqrt.f64 x) y)>
#<alt (*.f64 (sqrt.f64 x) y)>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 x) (*.f64 (*.f64 y (cbrt.f64 #s(literal -1 binary64))) (cbrt.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 x) (*.f64 (*.f64 y (cbrt.f64 #s(literal -1 binary64))) (cbrt.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 x) (*.f64 (*.f64 y (cbrt.f64 #s(literal -1 binary64))) (cbrt.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 x) (*.f64 (*.f64 y (cbrt.f64 #s(literal -1 binary64))) (cbrt.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64))))))>
#<alt (*.f64 (sqrt.f64 x) y)>
#<alt (*.f64 (sqrt.f64 x) y)>
#<alt (*.f64 (sqrt.f64 x) y)>
#<alt (*.f64 (sqrt.f64 x) y)>
#<alt (*.f64 (sqrt.f64 x) y)>
#<alt (*.f64 (sqrt.f64 x) y)>
#<alt (*.f64 (sqrt.f64 x) y)>
#<alt (*.f64 (sqrt.f64 x) y)>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 x) (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 x) (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 x) (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 x) (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))>
#<alt (*.f64 (sqrt.f64 x) y)>
#<alt (*.f64 (sqrt.f64 x) y)>
#<alt (*.f64 (sqrt.f64 x) y)>
#<alt (*.f64 (sqrt.f64 x) y)>
#<alt (*.f64 (sqrt.f64 x) y)>
#<alt (*.f64 (sqrt.f64 x) y)>
#<alt (*.f64 (sqrt.f64 x) y)>
#<alt (*.f64 (sqrt.f64 x) y)>
#<alt (*.f64 (sqrt.f64 x) y)>
#<alt (*.f64 (sqrt.f64 x) y)>
#<alt (*.f64 (sqrt.f64 x) y)>
#<alt (*.f64 (sqrt.f64 x) y)>
#<alt (*.f64 (pow.f64 (*.f64 #s(literal 1 binary64) x) #s(literal 1/4 binary64)) y)>
#<alt (*.f64 (pow.f64 (*.f64 #s(literal 1 binary64) x) #s(literal 1/4 binary64)) y)>
#<alt (*.f64 (pow.f64 (*.f64 #s(literal 1 binary64) x) #s(literal 1/4 binary64)) y)>
#<alt (*.f64 (pow.f64 (*.f64 #s(literal 1 binary64) x) #s(literal 1/4 binary64)) y)>
#<alt (*.f64 (pow.f64 (*.f64 #s(literal 1 binary64) x) #s(literal 1/4 binary64)) y)>
#<alt (*.f64 (pow.f64 (*.f64 #s(literal 1 binary64) x) #s(literal 1/4 binary64)) y)>
#<alt (*.f64 (pow.f64 (*.f64 #s(literal 1 binary64) x) #s(literal 1/4 binary64)) y)>
#<alt (*.f64 (pow.f64 (*.f64 #s(literal 1 binary64) x) #s(literal 1/4 binary64)) y)>
#<alt (*.f64 (pow.f64 (*.f64 #s(literal 1 binary64) x) #s(literal 1/4 binary64)) y)>
#<alt (*.f64 (pow.f64 (*.f64 #s(literal 1 binary64) x) #s(literal 1/4 binary64)) y)>
#<alt (*.f64 (pow.f64 (*.f64 #s(literal 1 binary64) x) #s(literal 1/4 binary64)) y)>
#<alt (*.f64 (pow.f64 (*.f64 #s(literal 1 binary64) x) #s(literal 1/4 binary64)) y)>
#<alt (*.f64 (pow.f64 (*.f64 #s(literal 1 binary64) x) #s(literal 1/4 binary64)) y)>
#<alt (*.f64 (pow.f64 (*.f64 #s(literal 1 binary64) x) #s(literal 1/4 binary64)) y)>
#<alt (*.f64 (pow.f64 (*.f64 #s(literal 1 binary64) x) #s(literal 1/4 binary64)) y)>
#<alt (*.f64 (pow.f64 (*.f64 #s(literal 1 binary64) x) #s(literal 1/4 binary64)) y)>
#<alt (*.f64 (pow.f64 (*.f64 #s(literal 1 binary64) x) #s(literal 1/4 binary64)) y)>
#<alt (*.f64 (pow.f64 (*.f64 #s(literal 1 binary64) x) #s(literal 1/4 binary64)) y)>
#<alt (*.f64 (pow.f64 (*.f64 #s(literal 1 binary64) x) #s(literal 1/4 binary64)) y)>
#<alt (*.f64 (pow.f64 (*.f64 #s(literal 1 binary64) x) #s(literal 1/4 binary64)) y)>
#<alt (*.f64 y (exp.f64 (*.f64 #s(literal 1/4 binary64) (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x)))))))>
#<alt (*.f64 y (exp.f64 (*.f64 #s(literal 1/4 binary64) (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x)))))))>
#<alt (*.f64 y (exp.f64 (*.f64 #s(literal 1/4 binary64) (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x)))))))>
#<alt (*.f64 y (exp.f64 (*.f64 #s(literal 1/4 binary64) (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x)))))))>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
Calls

24 calls:

TimeVariablePointExpression
2.0ms
x
@-inf
(cbrt (sqrt x))
1.0ms
x
@-inf
(* (* y (cbrt x)) (cbrt (sqrt x)))
0.0ms
x
@-inf
(* y (pow (/ -1 (/ -1 x)) 1/4))
0.0ms
x
@-inf
(* (pow x 1/4) (* y (pow (/ -1 (/ -1 x)) 1/4)))
0.0ms
x
@inf
(* (pow x 1/4) (* y (pow (/ -1 (/ -1 x)) 1/4)))

rewrite114.0ms (2.4%)

Algorithm
batch-egg-rewrite
Rules
826×log1p-expm1-u
826×expm1-log1p-u
542×log-prod
208×pow-pow
197×pow-to-exp
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
021103
129067
2298367
Stop Event
node limit
Counts
5 → 148
Calls
Call 1
Inputs
(cbrt.f64 (sqrt.f64 x))
(*.f64 (*.f64 y (cbrt.f64 x)) (cbrt.f64 (sqrt.f64 x)))
(*.f64 (pow.f64 x #s(literal 1/4 binary64)) (*.f64 y (pow.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) x)) #s(literal 1/4 binary64))))
(*.f64 y (pow.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) x)) #s(literal 1/4 binary64)))
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) x))
Outputs
(+.f64 #s(literal 0 binary64) (pow.f64 x #s(literal 1/6 binary64)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (pow.f64 x #s(literal 1/6 binary64)))) (cbrt.f64 (exp.f64 (pow.f64 x #s(literal 1/6 binary64)))))) (log.f64 (cbrt.f64 (exp.f64 (pow.f64 x #s(literal 1/6 binary64))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (pow.f64 x #s(literal 1/6 binary64))))) (log.f64 (sqrt.f64 (exp.f64 (pow.f64 x #s(literal 1/6 binary64))))))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 x #s(literal 1/6 binary64)))) #s(literal 1 binary64))
(*.f64 (pow.f64 x #s(literal 1/6 binary64)) #s(literal 1 binary64))
(*.f64 (pow.f64 x #s(literal 1/6 binary64)) (log.f64 (exp.f64 #s(literal 1 binary64))))
(*.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 1/6 binary64)))
(*.f64 (pow.f64 x #s(literal 1/12 binary64)) (pow.f64 x #s(literal 1/12 binary64)))
(*.f64 (cbrt.f64 (cbrt.f64 x)) (pow.f64 x #s(literal 1/18 binary64)))
(*.f64 (pow.f64 x #s(literal 1/18 binary64)) (cbrt.f64 (cbrt.f64 x)))
(*.f64 (sqrt.f64 (pow.f64 (pow.f64 x #s(literal 1/18 binary64)) #s(literal 4 binary64))) (sqrt.f64 (cbrt.f64 (cbrt.f64 x))))
(pow.f64 x #s(literal 1/6 binary64))
(pow.f64 (sqrt.f64 x) #s(literal 1/3 binary64))
(pow.f64 (pow.f64 x #s(literal 1/6 binary64)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 x) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 x #s(literal 1/4 binary64)) #s(literal 2/3 binary64))
(pow.f64 (pow.f64 x #s(literal 1/12 binary64)) #s(literal 2 binary64))
(pow.f64 (cbrt.f64 (cbrt.f64 x)) #s(literal 3/2 binary64))
(pow.f64 (pow.f64 x #s(literal 1/18 binary64)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) #s(literal 1/4 binary64))
(pow.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 1/9 binary64))
(pow.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/12 binary64))
(pow.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/18 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/6 binary64))
(sqrt.f64 (cbrt.f64 x))
(fabs.f64 (pow.f64 x #s(literal 1/6 binary64)))
(log.f64 (exp.f64 (pow.f64 x #s(literal 1/6 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (pow.f64 x #s(literal 1/6 binary64)))))
(expm1.f64 (log1p.f64 (pow.f64 x #s(literal 1/6 binary64))))
(log1p.f64 (expm1.f64 (pow.f64 x #s(literal 1/6 binary64))))
(exp.f64 (log.f64 (pow.f64 x #s(literal 1/6 binary64))))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 x)) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 x #s(literal 1/6 binary64))) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 x) #s(literal 1/6 binary64)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 x)) #s(literal 1/2 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 x #s(literal 1/12 binary64))) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 x #s(literal 1/18 binary64))) #s(literal 3 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 2/3 binary64) (log.f64 x)) #s(literal 1/4 binary64)))
(+.f64 #s(literal 0 binary64) (*.f64 (sqrt.f64 x) y))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 y) (sqrt.f64 x))) (cbrt.f64 (pow.f64 (exp.f64 y) (sqrt.f64 x))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 y) (sqrt.f64 x)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 y) (sqrt.f64 x)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 y) (sqrt.f64 x)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (sqrt.f64 x) y))) #s(literal 1 binary64))
(pow.f64 (*.f64 (sqrt.f64 x) y) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 (sqrt.f64 x) y)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 (sqrt.f64 x) y) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 (sqrt.f64 x) y)) #s(literal 2 binary64))
(sqrt.f64 (*.f64 (pow.f64 y #s(literal 2 binary64)) x))
(log.f64 (pow.f64 (exp.f64 y) (sqrt.f64 x)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (sqrt.f64 x) y))))
(cbrt.f64 (pow.f64 (*.f64 (sqrt.f64 x) y) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 x #s(literal 3/4 binary64)) (pow.f64 (*.f64 y (pow.f64 x #s(literal 1/4 binary64))) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (*.f64 y (pow.f64 x #s(literal 1/4 binary64))) #s(literal 3 binary64)) (pow.f64 x #s(literal 3/4 binary64))))
(cbrt.f64 (*.f64 (sqrt.f64 x) (pow.f64 (*.f64 y (cbrt.f64 x)) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 (sqrt.f64 x) y)))
(log1p.f64 (expm1.f64 (*.f64 (sqrt.f64 x) y)))
(exp.f64 (log.f64 (*.f64 (sqrt.f64 x) y)))
(exp.f64 (*.f64 (log.f64 (*.f64 (sqrt.f64 x) y)) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 (sqrt.f64 x) y))) #s(literal 3 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 3 binary64) (log.f64 (*.f64 (sqrt.f64 x) y))) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 (sqrt.f64 x) y))) #s(literal 2 binary64)))
(+.f64 #s(literal 0 binary64) (*.f64 (sqrt.f64 x) y))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 y) (sqrt.f64 x))) (cbrt.f64 (pow.f64 (exp.f64 y) (sqrt.f64 x))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 y) (sqrt.f64 x)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 y) (sqrt.f64 x)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 y) (sqrt.f64 x)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (sqrt.f64 x) y))) #s(literal 1 binary64))
(pow.f64 (*.f64 (sqrt.f64 x) y) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 (sqrt.f64 x) y)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 (sqrt.f64 x) y) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 (sqrt.f64 x) y)) #s(literal 2 binary64))
(sqrt.f64 (*.f64 (pow.f64 y #s(literal 2 binary64)) x))
(log.f64 (pow.f64 (exp.f64 y) (sqrt.f64 x)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (sqrt.f64 x) y))))
(cbrt.f64 (pow.f64 (*.f64 (sqrt.f64 x) y) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 x #s(literal 3/4 binary64)) (pow.f64 (*.f64 y (pow.f64 x #s(literal 1/4 binary64))) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (*.f64 y (pow.f64 x #s(literal 1/4 binary64))) #s(literal 3 binary64)) (pow.f64 x #s(literal 3/4 binary64))))
(cbrt.f64 (*.f64 (sqrt.f64 x) (pow.f64 (*.f64 y (cbrt.f64 x)) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 (sqrt.f64 x) y)))
(log1p.f64 (expm1.f64 (*.f64 (sqrt.f64 x) y)))
(exp.f64 (log.f64 (*.f64 (sqrt.f64 x) y)))
(exp.f64 (*.f64 (log.f64 (*.f64 (sqrt.f64 x) y)) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 (sqrt.f64 x) y))) #s(literal 3 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 3 binary64) (log.f64 (*.f64 (sqrt.f64 x) y))) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 (sqrt.f64 x) y))) #s(literal 2 binary64)))
(+.f64 #s(literal 0 binary64) (*.f64 y (pow.f64 x #s(literal 1/4 binary64))))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 y) (pow.f64 x #s(literal 1/4 binary64)))) (cbrt.f64 (pow.f64 (exp.f64 y) (pow.f64 x #s(literal 1/4 binary64)))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 y) (pow.f64 x #s(literal 1/4 binary64))))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 y) (pow.f64 x #s(literal 1/4 binary64))))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 y) (pow.f64 x #s(literal 1/4 binary64))))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 y (pow.f64 x #s(literal 1/4 binary64))))) #s(literal 1 binary64))
(pow.f64 (*.f64 y (pow.f64 x #s(literal 1/4 binary64))) #s(literal 1 binary64))
(pow.f64 (*.f64 (pow.f64 x #s(literal 1/12 binary64)) (cbrt.f64 y)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 y (pow.f64 x #s(literal 1/4 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (*.f64 (sqrt.f64 y) (pow.f64 x #s(literal 1/8 binary64))) #s(literal 2 binary64))
(sqrt.f64 (*.f64 (sqrt.f64 x) (pow.f64 y #s(literal 2 binary64))))
(log.f64 (pow.f64 (exp.f64 y) (pow.f64 x #s(literal 1/4 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 y (pow.f64 x #s(literal 1/4 binary64))))))
(cbrt.f64 (pow.f64 (*.f64 y (pow.f64 x #s(literal 1/4 binary64))) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3/4 binary64))))
(cbrt.f64 (*.f64 (pow.f64 x #s(literal 3/4 binary64)) (pow.f64 y #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 y (pow.f64 x #s(literal 1/4 binary64)))))
(log1p.f64 (expm1.f64 (*.f64 y (pow.f64 x #s(literal 1/4 binary64)))))
(exp.f64 (fma.f64 #s(literal 1/4 binary64) (log.f64 x) (log.f64 y)))
(exp.f64 (*.f64 (fma.f64 #s(literal 1/4 binary64) (log.f64 x) (log.f64 y)) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (*.f64 (pow.f64 x #s(literal 1/12 binary64)) (cbrt.f64 y))) #s(literal 3 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 3 binary64) (fma.f64 #s(literal 1/4 binary64) (log.f64 x) (log.f64 y))) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (*.f64 (sqrt.f64 y) (pow.f64 x #s(literal 1/8 binary64)))) #s(literal 2 binary64)))
(+.f64 #s(literal 0 binary64) x)
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 x)) (cbrt.f64 (exp.f64 x)))) (log.f64 (cbrt.f64 (exp.f64 x))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 x))) (log.f64 (sqrt.f64 (exp.f64 x))))
(-.f64 (exp.f64 (log1p.f64 x)) #s(literal 1 binary64))
(*.f64 x #s(literal 1 binary64))
(*.f64 x (log.f64 (exp.f64 #s(literal 1 binary64))))
(*.f64 (sqrt.f64 x) (sqrt.f64 x))
(*.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)))
(*.f64 (pow.f64 x #s(literal 1/4 binary64)) (pow.f64 x #s(literal 3/4 binary64)))
(*.f64 #s(literal -1 binary64) (neg.f64 x))
(*.f64 #s(literal 1 binary64) x)
(*.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (cbrt.f64 x))
(*.f64 (pow.f64 x #s(literal 3/4 binary64)) (pow.f64 x #s(literal 1/4 binary64)))
(*.f64 (neg.f64 x) #s(literal -1 binary64))
(*.f64 (neg.f64 x) (log.f64 (exp.f64 #s(literal -1 binary64))))
(*.f64 (*.f64 (sqrt.f64 x) (cbrt.f64 x)) (pow.f64 x #s(literal 1/6 binary64)))
(*.f64 (*.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)) (cbrt.f64 x))
(*.f64 (*.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (pow.f64 (pow.f64 x #s(literal 1/18 binary64)) #s(literal 4 binary64))) (cbrt.f64 (cbrt.f64 x)))
(*.f64 (*.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (pow.f64 x #s(literal 1/6 binary64))) (pow.f64 x #s(literal 1/6 binary64)))
(pow.f64 x #s(literal 1 binary64))
(pow.f64 (sqrt.f64 x) #s(literal 2 binary64))
(pow.f64 (pow.f64 x #s(literal 1/6 binary64)) #s(literal 6 binary64))
(pow.f64 (cbrt.f64 x) #s(literal 3 binary64))
(pow.f64 (pow.f64 x #s(literal 1/4 binary64)) #s(literal 4 binary64))
(pow.f64 (cbrt.f64 (cbrt.f64 x)) #s(literal 9 binary64))
(pow.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 2/3 binary64))
(pow.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64))
(neg.f64 (neg.f64 x))
(sqrt.f64 (pow.f64 x #s(literal 2 binary64)))
(log.f64 (exp.f64 x))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 x)))
(log.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (exp.f64 x))))
(log.f64 (/.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 x))))
(cbrt.f64 (pow.f64 x #s(literal 3 binary64)))
x
(expm1.f64 (log1p.f64 x))
(log1p.f64 (expm1.f64 x))
(exp.f64 (log.f64 x))
(exp.f64 (*.f64 (log.f64 x) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 x)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 x)) #s(literal 3 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 2 binary64) (log.f64 x)) #s(literal 1/2 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 3 binary64) (log.f64 x)) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (neg.f64 (log.f64 x)) #s(literal -1 binary64)))

simplify102.0ms (2.2%)

Algorithm
egg-herbie
Rules
496×fma-define
305×prod-exp
299×*-commutative
249×exp-prod
247×distribute-lft-neg-in
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
03178589938788
15478589938780
214708589938780
337598589938773
Stop Event
node limit
Counts
244 → 150
Calls
Call 1
Inputs
(pow.f64 (*.f64 #s(literal 1 binary64) x) #s(literal 1/6 binary64))
(pow.f64 (*.f64 #s(literal 1 binary64) x) #s(literal 1/6 binary64))
(pow.f64 (*.f64 #s(literal 1 binary64) x) #s(literal 1/6 binary64))
(pow.f64 (*.f64 #s(literal 1 binary64) x) #s(literal 1/6 binary64))
(pow.f64 (*.f64 #s(literal 1 binary64) x) #s(literal 1/6 binary64))
(pow.f64 (*.f64 #s(literal 1 binary64) x) #s(literal 1/6 binary64))
(pow.f64 (*.f64 #s(literal 1 binary64) x) #s(literal 1/6 binary64))
(pow.f64 (*.f64 #s(literal 1 binary64) x) #s(literal 1/6 binary64))
(*.f64 (pow.f64 (*.f64 #s(literal -1 binary64) x) #s(literal 1/6 binary64)) (cbrt.f64 (sqrt.f64 #s(literal -1 binary64))))
(*.f64 (pow.f64 (*.f64 #s(literal -1 binary64) x) #s(literal 1/6 binary64)) (cbrt.f64 (sqrt.f64 #s(literal -1 binary64))))
(*.f64 (pow.f64 (*.f64 #s(literal -1 binary64) x) #s(literal 1/6 binary64)) (cbrt.f64 (sqrt.f64 #s(literal -1 binary64))))
(*.f64 (pow.f64 (*.f64 #s(literal -1 binary64) x) #s(literal 1/6 binary64)) (cbrt.f64 (sqrt.f64 #s(literal -1 binary64))))
(*.f64 (sqrt.f64 x) y)
(*.f64 (sqrt.f64 x) y)
(*.f64 (sqrt.f64 x) y)
(*.f64 (sqrt.f64 x) y)
(*.f64 (sqrt.f64 x) y)
(*.f64 (sqrt.f64 x) y)
(*.f64 (sqrt.f64 x) y)
(*.f64 (sqrt.f64 x) y)
(*.f64 (sqrt.f64 x) y)
(*.f64 (sqrt.f64 x) y)
(*.f64 (sqrt.f64 x) y)
(*.f64 (sqrt.f64 x) y)
(*.f64 (sqrt.f64 x) y)
(*.f64 (sqrt.f64 x) y)
(*.f64 (sqrt.f64 x) y)
(*.f64 (sqrt.f64 x) y)
(*.f64 (sqrt.f64 x) y)
(*.f64 (sqrt.f64 x) y)
(*.f64 (sqrt.f64 x) y)
(*.f64 (sqrt.f64 x) y)
(*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 x) (*.f64 (*.f64 y (cbrt.f64 #s(literal -1 binary64))) (cbrt.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64))))))
(*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 x) (*.f64 (*.f64 y (cbrt.f64 #s(literal -1 binary64))) (cbrt.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64))))))
(*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 x) (*.f64 (*.f64 y (cbrt.f64 #s(literal -1 binary64))) (cbrt.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64))))))
(*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 x) (*.f64 (*.f64 y (cbrt.f64 #s(literal -1 binary64))) (cbrt.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64))))))
(*.f64 (sqrt.f64 x) y)
(*.f64 (sqrt.f64 x) y)
(*.f64 (sqrt.f64 x) y)
(*.f64 (sqrt.f64 x) y)
(*.f64 (sqrt.f64 x) y)
(*.f64 (sqrt.f64 x) y)
(*.f64 (sqrt.f64 x) y)
(*.f64 (sqrt.f64 x) y)
(*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 x) (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))
(*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 x) (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))
(*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 x) (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))
(*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 x) (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))
(*.f64 (sqrt.f64 x) y)
(*.f64 (sqrt.f64 x) y)
(*.f64 (sqrt.f64 x) y)
(*.f64 (sqrt.f64 x) y)
(*.f64 (sqrt.f64 x) y)
(*.f64 (sqrt.f64 x) y)
(*.f64 (sqrt.f64 x) y)
(*.f64 (sqrt.f64 x) y)
(*.f64 (sqrt.f64 x) y)
(*.f64 (sqrt.f64 x) y)
(*.f64 (sqrt.f64 x) y)
(*.f64 (sqrt.f64 x) y)
(*.f64 (pow.f64 (*.f64 #s(literal 1 binary64) x) #s(literal 1/4 binary64)) y)
(*.f64 (pow.f64 (*.f64 #s(literal 1 binary64) x) #s(literal 1/4 binary64)) y)
(*.f64 (pow.f64 (*.f64 #s(literal 1 binary64) x) #s(literal 1/4 binary64)) y)
(*.f64 (pow.f64 (*.f64 #s(literal 1 binary64) x) #s(literal 1/4 binary64)) y)
(*.f64 (pow.f64 (*.f64 #s(literal 1 binary64) x) #s(literal 1/4 binary64)) y)
(*.f64 (pow.f64 (*.f64 #s(literal 1 binary64) x) #s(literal 1/4 binary64)) y)
(*.f64 (pow.f64 (*.f64 #s(literal 1 binary64) x) #s(literal 1/4 binary64)) y)
(*.f64 (pow.f64 (*.f64 #s(literal 1 binary64) x) #s(literal 1/4 binary64)) y)
(*.f64 (pow.f64 (*.f64 #s(literal 1 binary64) x) #s(literal 1/4 binary64)) y)
(*.f64 (pow.f64 (*.f64 #s(literal 1 binary64) x) #s(literal 1/4 binary64)) y)
(*.f64 (pow.f64 (*.f64 #s(literal 1 binary64) x) #s(literal 1/4 binary64)) y)
(*.f64 (pow.f64 (*.f64 #s(literal 1 binary64) x) #s(literal 1/4 binary64)) y)
(*.f64 (pow.f64 (*.f64 #s(literal 1 binary64) x) #s(literal 1/4 binary64)) y)
(*.f64 (pow.f64 (*.f64 #s(literal 1 binary64) x) #s(literal 1/4 binary64)) y)
(*.f64 (pow.f64 (*.f64 #s(literal 1 binary64) x) #s(literal 1/4 binary64)) y)
(*.f64 (pow.f64 (*.f64 #s(literal 1 binary64) x) #s(literal 1/4 binary64)) y)
(*.f64 (pow.f64 (*.f64 #s(literal 1 binary64) x) #s(literal 1/4 binary64)) y)
(*.f64 (pow.f64 (*.f64 #s(literal 1 binary64) x) #s(literal 1/4 binary64)) y)
(*.f64 (pow.f64 (*.f64 #s(literal 1 binary64) x) #s(literal 1/4 binary64)) y)
(*.f64 (pow.f64 (*.f64 #s(literal 1 binary64) x) #s(literal 1/4 binary64)) y)
(*.f64 y (exp.f64 (*.f64 #s(literal 1/4 binary64) (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x)))))))
(*.f64 y (exp.f64 (*.f64 #s(literal 1/4 binary64) (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x)))))))
(*.f64 y (exp.f64 (*.f64 #s(literal 1/4 binary64) (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x)))))))
(*.f64 y (exp.f64 (*.f64 #s(literal 1/4 binary64) (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x)))))))
x
x
x
x
x
x
x
x
x
x
x
x
(+.f64 #s(literal 0 binary64) (pow.f64 x #s(literal 1/6 binary64)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (pow.f64 x #s(literal 1/6 binary64)))) (cbrt.f64 (exp.f64 (pow.f64 x #s(literal 1/6 binary64)))))) (log.f64 (cbrt.f64 (exp.f64 (pow.f64 x #s(literal 1/6 binary64))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (pow.f64 x #s(literal 1/6 binary64))))) (log.f64 (sqrt.f64 (exp.f64 (pow.f64 x #s(literal 1/6 binary64))))))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 x #s(literal 1/6 binary64)))) #s(literal 1 binary64))
(*.f64 (pow.f64 x #s(literal 1/6 binary64)) #s(literal 1 binary64))
(*.f64 (pow.f64 x #s(literal 1/6 binary64)) (log.f64 (exp.f64 #s(literal 1 binary64))))
(*.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 1/6 binary64)))
(*.f64 (pow.f64 x #s(literal 1/12 binary64)) (pow.f64 x #s(literal 1/12 binary64)))
(*.f64 (cbrt.f64 (cbrt.f64 x)) (pow.f64 x #s(literal 1/18 binary64)))
(*.f64 (pow.f64 x #s(literal 1/18 binary64)) (cbrt.f64 (cbrt.f64 x)))
(*.f64 (sqrt.f64 (pow.f64 (pow.f64 x #s(literal 1/18 binary64)) #s(literal 4 binary64))) (sqrt.f64 (cbrt.f64 (cbrt.f64 x))))
(pow.f64 x #s(literal 1/6 binary64))
(pow.f64 (sqrt.f64 x) #s(literal 1/3 binary64))
(pow.f64 (pow.f64 x #s(literal 1/6 binary64)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 x) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 x #s(literal 1/4 binary64)) #s(literal 2/3 binary64))
(pow.f64 (pow.f64 x #s(literal 1/12 binary64)) #s(literal 2 binary64))
(pow.f64 (cbrt.f64 (cbrt.f64 x)) #s(literal 3/2 binary64))
(pow.f64 (pow.f64 x #s(literal 1/18 binary64)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) #s(literal 1/4 binary64))
(pow.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 1/9 binary64))
(pow.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/12 binary64))
(pow.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/18 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/6 binary64))
(sqrt.f64 (cbrt.f64 x))
(fabs.f64 (pow.f64 x #s(literal 1/6 binary64)))
(log.f64 (exp.f64 (pow.f64 x #s(literal 1/6 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (pow.f64 x #s(literal 1/6 binary64)))))
(expm1.f64 (log1p.f64 (pow.f64 x #s(literal 1/6 binary64))))
(log1p.f64 (expm1.f64 (pow.f64 x #s(literal 1/6 binary64))))
(exp.f64 (log.f64 (pow.f64 x #s(literal 1/6 binary64))))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 x)) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 x #s(literal 1/6 binary64))) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 x) #s(literal 1/6 binary64)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 x)) #s(literal 1/2 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 x #s(literal 1/12 binary64))) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 x #s(literal 1/18 binary64))) #s(literal 3 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 2/3 binary64) (log.f64 x)) #s(literal 1/4 binary64)))
(+.f64 #s(literal 0 binary64) (*.f64 (sqrt.f64 x) y))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 y) (sqrt.f64 x))) (cbrt.f64 (pow.f64 (exp.f64 y) (sqrt.f64 x))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 y) (sqrt.f64 x)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 y) (sqrt.f64 x)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 y) (sqrt.f64 x)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (sqrt.f64 x) y))) #s(literal 1 binary64))
(pow.f64 (*.f64 (sqrt.f64 x) y) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 (sqrt.f64 x) y)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 (sqrt.f64 x) y) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 (sqrt.f64 x) y)) #s(literal 2 binary64))
(sqrt.f64 (*.f64 (pow.f64 y #s(literal 2 binary64)) x))
(log.f64 (pow.f64 (exp.f64 y) (sqrt.f64 x)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (sqrt.f64 x) y))))
(cbrt.f64 (pow.f64 (*.f64 (sqrt.f64 x) y) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 x #s(literal 3/4 binary64)) (pow.f64 (*.f64 y (pow.f64 x #s(literal 1/4 binary64))) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (*.f64 y (pow.f64 x #s(literal 1/4 binary64))) #s(literal 3 binary64)) (pow.f64 x #s(literal 3/4 binary64))))
(cbrt.f64 (*.f64 (sqrt.f64 x) (pow.f64 (*.f64 y (cbrt.f64 x)) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 (sqrt.f64 x) y)))
(log1p.f64 (expm1.f64 (*.f64 (sqrt.f64 x) y)))
(exp.f64 (log.f64 (*.f64 (sqrt.f64 x) y)))
(exp.f64 (*.f64 (log.f64 (*.f64 (sqrt.f64 x) y)) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 (sqrt.f64 x) y))) #s(literal 3 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 3 binary64) (log.f64 (*.f64 (sqrt.f64 x) y))) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 (sqrt.f64 x) y))) #s(literal 2 binary64)))
(+.f64 #s(literal 0 binary64) (*.f64 (sqrt.f64 x) y))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 y) (sqrt.f64 x))) (cbrt.f64 (pow.f64 (exp.f64 y) (sqrt.f64 x))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 y) (sqrt.f64 x)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 y) (sqrt.f64 x)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 y) (sqrt.f64 x)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (sqrt.f64 x) y))) #s(literal 1 binary64))
(pow.f64 (*.f64 (sqrt.f64 x) y) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 (sqrt.f64 x) y)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 (sqrt.f64 x) y) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 (sqrt.f64 x) y)) #s(literal 2 binary64))
(sqrt.f64 (*.f64 (pow.f64 y #s(literal 2 binary64)) x))
(log.f64 (pow.f64 (exp.f64 y) (sqrt.f64 x)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (sqrt.f64 x) y))))
(cbrt.f64 (pow.f64 (*.f64 (sqrt.f64 x) y) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 x #s(literal 3/4 binary64)) (pow.f64 (*.f64 y (pow.f64 x #s(literal 1/4 binary64))) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (*.f64 y (pow.f64 x #s(literal 1/4 binary64))) #s(literal 3 binary64)) (pow.f64 x #s(literal 3/4 binary64))))
(cbrt.f64 (*.f64 (sqrt.f64 x) (pow.f64 (*.f64 y (cbrt.f64 x)) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 (sqrt.f64 x) y)))
(log1p.f64 (expm1.f64 (*.f64 (sqrt.f64 x) y)))
(exp.f64 (log.f64 (*.f64 (sqrt.f64 x) y)))
(exp.f64 (*.f64 (log.f64 (*.f64 (sqrt.f64 x) y)) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 (sqrt.f64 x) y))) #s(literal 3 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 3 binary64) (log.f64 (*.f64 (sqrt.f64 x) y))) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 (sqrt.f64 x) y))) #s(literal 2 binary64)))
(+.f64 #s(literal 0 binary64) (*.f64 y (pow.f64 x #s(literal 1/4 binary64))))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 y) (pow.f64 x #s(literal 1/4 binary64)))) (cbrt.f64 (pow.f64 (exp.f64 y) (pow.f64 x #s(literal 1/4 binary64)))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 y) (pow.f64 x #s(literal 1/4 binary64))))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 y) (pow.f64 x #s(literal 1/4 binary64))))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 y) (pow.f64 x #s(literal 1/4 binary64))))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 y (pow.f64 x #s(literal 1/4 binary64))))) #s(literal 1 binary64))
(pow.f64 (*.f64 y (pow.f64 x #s(literal 1/4 binary64))) #s(literal 1 binary64))
(pow.f64 (*.f64 (pow.f64 x #s(literal 1/12 binary64)) (cbrt.f64 y)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 y (pow.f64 x #s(literal 1/4 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (*.f64 (sqrt.f64 y) (pow.f64 x #s(literal 1/8 binary64))) #s(literal 2 binary64))
(sqrt.f64 (*.f64 (sqrt.f64 x) (pow.f64 y #s(literal 2 binary64))))
(log.f64 (pow.f64 (exp.f64 y) (pow.f64 x #s(literal 1/4 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 y (pow.f64 x #s(literal 1/4 binary64))))))
(cbrt.f64 (pow.f64 (*.f64 y (pow.f64 x #s(literal 1/4 binary64))) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3/4 binary64))))
(cbrt.f64 (*.f64 (pow.f64 x #s(literal 3/4 binary64)) (pow.f64 y #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 y (pow.f64 x #s(literal 1/4 binary64)))))
(log1p.f64 (expm1.f64 (*.f64 y (pow.f64 x #s(literal 1/4 binary64)))))
(exp.f64 (fma.f64 #s(literal 1/4 binary64) (log.f64 x) (log.f64 y)))
(exp.f64 (*.f64 (fma.f64 #s(literal 1/4 binary64) (log.f64 x) (log.f64 y)) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (*.f64 (pow.f64 x #s(literal 1/12 binary64)) (cbrt.f64 y))) #s(literal 3 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 3 binary64) (fma.f64 #s(literal 1/4 binary64) (log.f64 x) (log.f64 y))) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (*.f64 (sqrt.f64 y) (pow.f64 x #s(literal 1/8 binary64)))) #s(literal 2 binary64)))
(+.f64 #s(literal 0 binary64) x)
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 x)) (cbrt.f64 (exp.f64 x)))) (log.f64 (cbrt.f64 (exp.f64 x))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 x))) (log.f64 (sqrt.f64 (exp.f64 x))))
(-.f64 (exp.f64 (log1p.f64 x)) #s(literal 1 binary64))
(*.f64 x #s(literal 1 binary64))
(*.f64 x (log.f64 (exp.f64 #s(literal 1 binary64))))
(*.f64 (sqrt.f64 x) (sqrt.f64 x))
(*.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)))
(*.f64 (pow.f64 x #s(literal 1/4 binary64)) (pow.f64 x #s(literal 3/4 binary64)))
(*.f64 #s(literal -1 binary64) (neg.f64 x))
(*.f64 #s(literal 1 binary64) x)
(*.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (cbrt.f64 x))
(*.f64 (pow.f64 x #s(literal 3/4 binary64)) (pow.f64 x #s(literal 1/4 binary64)))
(*.f64 (neg.f64 x) #s(literal -1 binary64))
(*.f64 (neg.f64 x) (log.f64 (exp.f64 #s(literal -1 binary64))))
(*.f64 (*.f64 (sqrt.f64 x) (cbrt.f64 x)) (pow.f64 x #s(literal 1/6 binary64)))
(*.f64 (*.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)) (cbrt.f64 x))
(*.f64 (*.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (pow.f64 (pow.f64 x #s(literal 1/18 binary64)) #s(literal 4 binary64))) (cbrt.f64 (cbrt.f64 x)))
(*.f64 (*.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (pow.f64 x #s(literal 1/6 binary64))) (pow.f64 x #s(literal 1/6 binary64)))
(pow.f64 x #s(literal 1 binary64))
(pow.f64 (sqrt.f64 x) #s(literal 2 binary64))
(pow.f64 (pow.f64 x #s(literal 1/6 binary64)) #s(literal 6 binary64))
(pow.f64 (cbrt.f64 x) #s(literal 3 binary64))
(pow.f64 (pow.f64 x #s(literal 1/4 binary64)) #s(literal 4 binary64))
(pow.f64 (cbrt.f64 (cbrt.f64 x)) #s(literal 9 binary64))
(pow.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 2/3 binary64))
(pow.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64))
(neg.f64 (neg.f64 x))
(sqrt.f64 (pow.f64 x #s(literal 2 binary64)))
(log.f64 (exp.f64 x))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 x)))
(log.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (exp.f64 x))))
(log.f64 (/.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 x))))
(cbrt.f64 (pow.f64 x #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 x))
(log1p.f64 (expm1.f64 x))
(exp.f64 (log.f64 x))
(exp.f64 (*.f64 (log.f64 x) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 x)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 x)) #s(literal 3 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 2 binary64) (log.f64 x)) #s(literal 1/2 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 3 binary64) (log.f64 x)) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (neg.f64 (log.f64 x)) #s(literal -1 binary64)))
Outputs
(pow.f64 (*.f64 #s(literal 1 binary64) x) #s(literal 1/6 binary64))
(pow.f64 x #s(literal 1/6 binary64))
(pow.f64 (*.f64 #s(literal 1 binary64) x) #s(literal 1/6 binary64))
(pow.f64 x #s(literal 1/6 binary64))
(pow.f64 (*.f64 #s(literal 1 binary64) x) #s(literal 1/6 binary64))
(pow.f64 x #s(literal 1/6 binary64))
(pow.f64 (*.f64 #s(literal 1 binary64) x) #s(literal 1/6 binary64))
(pow.f64 x #s(literal 1/6 binary64))
(pow.f64 (*.f64 #s(literal 1 binary64) x) #s(literal 1/6 binary64))
(pow.f64 x #s(literal 1/6 binary64))
(pow.f64 (*.f64 #s(literal 1 binary64) x) #s(literal 1/6 binary64))
(pow.f64 x #s(literal 1/6 binary64))
(pow.f64 (*.f64 #s(literal 1 binary64) x) #s(literal 1/6 binary64))
(pow.f64 x #s(literal 1/6 binary64))
(pow.f64 (*.f64 #s(literal 1 binary64) x) #s(literal 1/6 binary64))
(pow.f64 x #s(literal 1/6 binary64))
(*.f64 (pow.f64 (*.f64 #s(literal -1 binary64) x) #s(literal 1/6 binary64)) (cbrt.f64 (sqrt.f64 #s(literal -1 binary64))))
(*.f64 (pow.f64 (neg.f64 x) #s(literal 1/6 binary64)) (cbrt.f64 (sqrt.f64 #s(literal -1 binary64))))
(*.f64 (pow.f64 (*.f64 #s(literal -1 binary64) x) #s(literal 1/6 binary64)) (cbrt.f64 (sqrt.f64 #s(literal -1 binary64))))
(*.f64 (pow.f64 (neg.f64 x) #s(literal 1/6 binary64)) (cbrt.f64 (sqrt.f64 #s(literal -1 binary64))))
(*.f64 (pow.f64 (*.f64 #s(literal -1 binary64) x) #s(literal 1/6 binary64)) (cbrt.f64 (sqrt.f64 #s(literal -1 binary64))))
(*.f64 (pow.f64 (neg.f64 x) #s(literal 1/6 binary64)) (cbrt.f64 (sqrt.f64 #s(literal -1 binary64))))
(*.f64 (pow.f64 (*.f64 #s(literal -1 binary64) x) #s(literal 1/6 binary64)) (cbrt.f64 (sqrt.f64 #s(literal -1 binary64))))
(*.f64 (pow.f64 (neg.f64 x) #s(literal 1/6 binary64)) (cbrt.f64 (sqrt.f64 #s(literal -1 binary64))))
(*.f64 (sqrt.f64 x) y)
(*.f64 (sqrt.f64 x) y)
(*.f64 (sqrt.f64 x) y)
(*.f64 (sqrt.f64 x) y)
(*.f64 (sqrt.f64 x) y)
(*.f64 (sqrt.f64 x) y)
(*.f64 (sqrt.f64 x) y)
(*.f64 (sqrt.f64 x) y)
(*.f64 (sqrt.f64 x) y)
(*.f64 (sqrt.f64 x) y)
(*.f64 (sqrt.f64 x) y)
(*.f64 (sqrt.f64 x) y)
(*.f64 (sqrt.f64 x) y)
(*.f64 (sqrt.f64 x) y)
(*.f64 (sqrt.f64 x) y)
(*.f64 (sqrt.f64 x) y)
(*.f64 (sqrt.f64 x) y)
(*.f64 (sqrt.f64 x) y)
(*.f64 (sqrt.f64 x) y)
(*.f64 (sqrt.f64 x) y)
(*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 x) (*.f64 (*.f64 y (cbrt.f64 #s(literal -1 binary64))) (cbrt.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64))))))
(neg.f64 (*.f64 (sqrt.f64 x) (*.f64 (*.f64 y (cbrt.f64 #s(literal -1 binary64))) (cbrt.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64))))))
(*.f64 (*.f64 y (*.f64 (cbrt.f64 #s(literal -1 binary64)) (cbrt.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64))))) (neg.f64 (sqrt.f64 x)))
(*.f64 (sqrt.f64 x) (*.f64 (*.f64 y (cbrt.f64 #s(literal -1 binary64))) (neg.f64 (cbrt.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64))))))
(*.f64 (sqrt.f64 x) (*.f64 y (*.f64 (cbrt.f64 #s(literal -1 binary64)) (neg.f64 (cbrt.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64)))))))
(*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 x) (*.f64 (*.f64 y (cbrt.f64 #s(literal -1 binary64))) (cbrt.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64))))))
(neg.f64 (*.f64 (sqrt.f64 x) (*.f64 (*.f64 y (cbrt.f64 #s(literal -1 binary64))) (cbrt.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64))))))
(*.f64 (*.f64 y (*.f64 (cbrt.f64 #s(literal -1 binary64)) (cbrt.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64))))) (neg.f64 (sqrt.f64 x)))
(*.f64 (sqrt.f64 x) (*.f64 (*.f64 y (cbrt.f64 #s(literal -1 binary64))) (neg.f64 (cbrt.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64))))))
(*.f64 (sqrt.f64 x) (*.f64 y (*.f64 (cbrt.f64 #s(literal -1 binary64)) (neg.f64 (cbrt.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64)))))))
(*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 x) (*.f64 (*.f64 y (cbrt.f64 #s(literal -1 binary64))) (cbrt.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64))))))
(neg.f64 (*.f64 (sqrt.f64 x) (*.f64 (*.f64 y (cbrt.f64 #s(literal -1 binary64))) (cbrt.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64))))))
(*.f64 (*.f64 y (*.f64 (cbrt.f64 #s(literal -1 binary64)) (cbrt.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64))))) (neg.f64 (sqrt.f64 x)))
(*.f64 (sqrt.f64 x) (*.f64 (*.f64 y (cbrt.f64 #s(literal -1 binary64))) (neg.f64 (cbrt.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64))))))
(*.f64 (sqrt.f64 x) (*.f64 y (*.f64 (cbrt.f64 #s(literal -1 binary64)) (neg.f64 (cbrt.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64)))))))
(*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 x) (*.f64 (*.f64 y (cbrt.f64 #s(literal -1 binary64))) (cbrt.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64))))))
(neg.f64 (*.f64 (sqrt.f64 x) (*.f64 (*.f64 y (cbrt.f64 #s(literal -1 binary64))) (cbrt.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64))))))
(*.f64 (*.f64 y (*.f64 (cbrt.f64 #s(literal -1 binary64)) (cbrt.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64))))) (neg.f64 (sqrt.f64 x)))
(*.f64 (sqrt.f64 x) (*.f64 (*.f64 y (cbrt.f64 #s(literal -1 binary64))) (neg.f64 (cbrt.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64))))))
(*.f64 (sqrt.f64 x) (*.f64 y (*.f64 (cbrt.f64 #s(literal -1 binary64)) (neg.f64 (cbrt.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64)))))))
(*.f64 (sqrt.f64 x) y)
(*.f64 (sqrt.f64 x) y)
(*.f64 (sqrt.f64 x) y)
(*.f64 (sqrt.f64 x) y)
(*.f64 (sqrt.f64 x) y)
(*.f64 (sqrt.f64 x) y)
(*.f64 (sqrt.f64 x) y)
(*.f64 (sqrt.f64 x) y)
(*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 x) (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))
(*.f64 (sqrt.f64 x) y)
(*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 x) (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))
(*.f64 (sqrt.f64 x) y)
(*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 x) (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))
(*.f64 (sqrt.f64 x) y)
(*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 x) (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))
(*.f64 (sqrt.f64 x) y)
(*.f64 (sqrt.f64 x) y)
(*.f64 (sqrt.f64 x) y)
(*.f64 (sqrt.f64 x) y)
(*.f64 (sqrt.f64 x) y)
(*.f64 (sqrt.f64 x) y)
(*.f64 (sqrt.f64 x) y)
(*.f64 (sqrt.f64 x) y)
(*.f64 (sqrt.f64 x) y)
(*.f64 (sqrt.f64 x) y)
(*.f64 (sqrt.f64 x) y)
(*.f64 (sqrt.f64 x) y)
(*.f64 (sqrt.f64 x) y)
(*.f64 (pow.f64 (*.f64 #s(literal 1 binary64) x) #s(literal 1/4 binary64)) y)
(*.f64 y (pow.f64 x #s(literal 1/4 binary64)))
(*.f64 (pow.f64 (*.f64 #s(literal 1 binary64) x) #s(literal 1/4 binary64)) y)
(*.f64 y (pow.f64 x #s(literal 1/4 binary64)))
(*.f64 (pow.f64 (*.f64 #s(literal 1 binary64) x) #s(literal 1/4 binary64)) y)
(*.f64 y (pow.f64 x #s(literal 1/4 binary64)))
(*.f64 (pow.f64 (*.f64 #s(literal 1 binary64) x) #s(literal 1/4 binary64)) y)
(*.f64 y (pow.f64 x #s(literal 1/4 binary64)))
(*.f64 (pow.f64 (*.f64 #s(literal 1 binary64) x) #s(literal 1/4 binary64)) y)
(*.f64 y (pow.f64 x #s(literal 1/4 binary64)))
(*.f64 (pow.f64 (*.f64 #s(literal 1 binary64) x) #s(literal 1/4 binary64)) y)
(*.f64 y (pow.f64 x #s(literal 1/4 binary64)))
(*.f64 (pow.f64 (*.f64 #s(literal 1 binary64) x) #s(literal 1/4 binary64)) y)
(*.f64 y (pow.f64 x #s(literal 1/4 binary64)))
(*.f64 (pow.f64 (*.f64 #s(literal 1 binary64) x) #s(literal 1/4 binary64)) y)
(*.f64 y (pow.f64 x #s(literal 1/4 binary64)))
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x
(*.f64 (*.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (pow.f64 (pow.f64 x #s(literal 1/18 binary64)) #s(literal 4 binary64))) (cbrt.f64 (cbrt.f64 x)))
(*.f64 (cbrt.f64 (cbrt.f64 x)) (*.f64 (pow.f64 (pow.f64 x #s(literal 1/18 binary64)) #s(literal 4 binary64)) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))))
(*.f64 (*.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (pow.f64 x #s(literal 1/6 binary64))) (pow.f64 x #s(literal 1/6 binary64)))
x
(pow.f64 x #s(literal 1 binary64))
x
(pow.f64 (sqrt.f64 x) #s(literal 2 binary64))
x
(pow.f64 (pow.f64 x #s(literal 1/6 binary64)) #s(literal 6 binary64))
(pow.f64 (cbrt.f64 x) #s(literal 3 binary64))
x
(pow.f64 (pow.f64 x #s(literal 1/4 binary64)) #s(literal 4 binary64))
(pow.f64 (cbrt.f64 (cbrt.f64 x)) #s(literal 9 binary64))
(pow.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 2/3 binary64))
(pow.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/2 binary64))
x
(pow.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/3 binary64))
x
(pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64))
x
(neg.f64 (neg.f64 x))
x
(sqrt.f64 (pow.f64 x #s(literal 2 binary64)))
x
(log.f64 (exp.f64 x))
x
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 x)))
x
(log.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (exp.f64 x))))
x
(log.f64 (/.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 x))))
x
(cbrt.f64 (pow.f64 x #s(literal 3 binary64)))
x
(expm1.f64 (log1p.f64 x))
x
(log1p.f64 (expm1.f64 x))
x
(exp.f64 (log.f64 x))
x
(exp.f64 (*.f64 (log.f64 x) #s(literal 1 binary64)))
x
(exp.f64 (*.f64 (log.f64 (sqrt.f64 x)) #s(literal 2 binary64)))
x
(exp.f64 (*.f64 (log.f64 (cbrt.f64 x)) #s(literal 3 binary64)))
x
(exp.f64 (*.f64 (*.f64 #s(literal 2 binary64) (log.f64 x)) #s(literal 1/2 binary64)))
x
(exp.f64 (*.f64 (*.f64 #s(literal 3 binary64) (log.f64 x)) #s(literal 1/3 binary64)))
x
(exp.f64 (*.f64 (neg.f64 (log.f64 x)) #s(literal -1 binary64)))
x

eval65.0ms (1.4%)

Compiler

Compiled 3410 to 2049 computations (39.9% saved)

prune40.0ms (0.8%)

Pruning

10 alts after pruning (1 fresh and 9 done)

PrunedKeptTotal
New2091210
Fresh000
Picked022
Done077
Total20910219
Accuracy
100.0%
Counts
219 → 10
Alt Table
Click to see full alt table
StatusAccuracyProgram
51.0%
(+.f64 (-.f64 #s(literal 1 binary64) x) (pow.f64 (sqrt.f64 (*.f64 y (sqrt.f64 x))) #s(literal 2 binary64)))
99.2%
(+.f64 (-.f64 #s(literal 1 binary64) x) (pow.f64 (cbrt.f64 (*.f64 y (sqrt.f64 x))) #s(literal 3 binary64)))
99.8%
(+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 (pow.f64 x #s(literal 1/4 binary64)) (*.f64 (pow.f64 x #s(literal 1/4 binary64)) y)))
99.8%
(+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 (pow.f64 x #s(literal 1/4 binary64)) (*.f64 y (pow.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) x)) #s(literal 1/4 binary64)))))
99.1%
(+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 (pow.f64 x #s(literal 1/4 binary64)) (*.f64 y (pow.f64 (expm1.f64 (log1p.f64 x)) #s(literal 1/4 binary64)))))
98.0%
(+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 (*.f64 y (cbrt.f64 x)) (pow.f64 x #s(literal 1/6 binary64))))
99.4%
(+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 (*.f64 y (cbrt.f64 x)) (cbrt.f64 (sqrt.f64 x))))
46.3%
(+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 (sqrt.f64 y) (sqrt.f64 (*.f64 x y))))
99.8%
(+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (sqrt.f64 x)))
61.8%
(+.f64 (-.f64 #s(literal 1 binary64) x) (sqrt.f64 (*.f64 x (pow.f64 y #s(literal 2 binary64)))))
Compiler

Compiled 285 to 197 computations (30.9% saved)

regimes11.0ms (0.2%)

Accuracy

Total -43.1b remaining (-38069.7%)

Threshold costs -43.1b (-38069.7%)

Counts
12 → 1
Calls
Call 1
Inputs
(+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (sqrt.f64 x)))
(+.f64 (-.f64 #s(literal 1 binary64) x) (sqrt.f64 (*.f64 x (pow.f64 y #s(literal 2 binary64)))))
(+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 (sqrt.f64 y) (sqrt.f64 (*.f64 x y))))
(+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 (*.f64 y (cbrt.f64 x)) (pow.f64 x #s(literal 1/6 binary64))))
(+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 (pow.f64 x #s(literal 1/4 binary64)) (*.f64 (pow.f64 x #s(literal 1/4 binary64)) y)))
(+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 (pow.f64 x #s(literal 1/4 binary64)) (*.f64 y (pow.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) x)) #s(literal 1/4 binary64)))))
(+.f64 (-.f64 #s(literal 1 binary64) x) (cbrt.f64 (pow.f64 (*.f64 y (sqrt.f64 x)) #s(literal 3 binary64))))
(+.f64 (-.f64 #s(literal 1 binary64) x) (pow.f64 (cbrt.f64 (*.f64 y (sqrt.f64 x))) #s(literal 3 binary64)))
(+.f64 (-.f64 #s(literal 1 binary64) x) (pow.f64 (sqrt.f64 (*.f64 y (sqrt.f64 x))) #s(literal 2 binary64)))
(+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 (*.f64 y (cbrt.f64 x)) (cbrt.f64 (sqrt.f64 x))))
(+.f64 (-.f64 #s(literal 1 binary64) x) (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 (sqrt.f64 x) y))) #s(literal 9 binary64)))
(+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 (pow.f64 x #s(literal 1/4 binary64)) (*.f64 y (pow.f64 (expm1.f64 (log1p.f64 x)) #s(literal 1/4 binary64)))))
Outputs
(+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (sqrt.f64 x)))
Calls

3 calls:

4.0ms
x
3.0ms
y
3.0ms
(+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (sqrt.f64 x)))
Results
AccuracySegmentsBranch
99.8%1x
99.8%1y
99.8%1(+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (sqrt.f64 x)))
Compiler

Compiled 16 to 11 computations (31.3% saved)

simplify3.0ms (0.1%)

Algorithm
egg-herbie
Rules
1-exp
+-commutative
sub-neg
*-commutative
neg-sub0
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01332
12232
22632
32832
42932
Stop Event
saturated
Calls
Call 1
Inputs
(+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (sqrt.f64 x)))
Outputs
(+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (sqrt.f64 x)))

soundness0.0ms (0%)

Stop Event
fuel
Compiler

Compiled 10 to 7 computations (30% saved)

preprocess21.0ms (0.4%)

Compiler

Compiled 40 to 28 computations (30% saved)

end0.0ms (0%)

Profiling

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