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

Time bar (total: 6.1s)

analyze14.0ms (0.2%)

Algorithm
1×search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%99.9%0.1%0%0%0%0
0%0%99.9%0.1%0%0%0%1
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 (25.1% of total)
ival-add: 1.0ms (25.1% of total)
ival-mult: 1.0ms (25.1% of total)
ival-sqrt: 1.0ms (25.1% of total)
const: 0.0ms (0% of total)

sample1.0s (17%)

Results
699.0ms8253×0valid
13.0ms260×0invalid
0.0ms3×1valid
Precisions
Click to see histograms. Total time spent on operations: 426.0ms
ival-sqrt: 175.0ms (41.1% of total)
ival-sub: 106.0ms (24.9% of total)
ival-mult: 72.0ms (16.9% of total)
ival-add: 58.0ms (13.6% of total)
const: 12.0ms (2.8% of total)
backward-pass: 3.0ms (0.7% of total)
Bogosity

preprocess102.0ms (1.7%)

Algorithm
1×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
1×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)

explain74.0ms (1.2%)

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
46.0ms512×256valid
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 (29.4% of total)
ival-mult: 6.0ms (29.4% of total)
ival-sqrt: 4.0ms (19.6% of total)
ival-add: 3.0ms (14.7% of total)
const: 1.0ms (4.9% 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)

localize31.0ms (0.5%)

Localize:

Found 1 expressions with local error:

NewAccuracyProgram
✓99.5%
(*.f64 y (sqrt.f64 x))
Results
21.0ms256×256valid
Compiler

Compiled 23 to 11 computations (52.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 10.0ms
ival-sub: 3.0ms (30.7% of total)
ival-add: 2.0ms (20.5% of total)
ival-mult: 2.0ms (20.5% of total)
ival-sqrt: 2.0ms (20.5% of total)
const: 1.0ms (10.2% of total)

series5.0ms (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
y
@-inf
(* y (sqrt x))
1.0ms
x
@-inf
(* y (sqrt x))
1.0ms
x
@0
(* y (sqrt x))
1.0ms
y
@inf
(* y (sqrt x))
1.0ms
y
@0
(* y (sqrt x))

rewrite267.0ms (4.4%)

Algorithm
1×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
1×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)))

simplify60.0ms (1%)

Algorithm
1×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
1×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)

eval5.0ms (0.1%)

Compiler

Compiled 386 to 195 computations (49.5% saved)

prune5.0ms (0.1%)

Pruning

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New27229
Fresh000
Picked011
Done000
Total27330
Accuracy
99.9%
Counts
30 → 3
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶99.3%
(+.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)))
▶70.5%
(+.f64 (-.f64 #s(literal 1 binary64) x) (sqrt.f64 (*.f64 x (pow.f64 y #s(literal 2 binary64)))))
Compiler

Compiled 35 to 26 computations (25.7% saved)

localize107.0ms (1.8%)

Localize:

Found 7 expressions with local error:

NewAccuracyProgram
99.5%
(*.f64 y (sqrt.f64 x))
✓98.9%
(pow.f64 (cbrt.f64 (*.f64 y (sqrt.f64 x))) #s(literal 3 binary64))
✓90.1%
(cbrt.f64 (*.f64 y (sqrt.f64 x)))
✓100.0%
(pow.f64 y #s(literal 2 binary64))
✓100.0%
(+.f64 (-.f64 #s(literal 1 binary64) x) (sqrt.f64 (*.f64 x (pow.f64 y #s(literal 2 binary64)))))
✓87.2%
(*.f64 x (pow.f64 y #s(literal 2 binary64)))
✓63.0%
(sqrt.f64 (*.f64 x (pow.f64 y #s(literal 2 binary64))))
Results
83.0ms256×256valid
Compiler

Compiled 70 to 37 computations (47.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 59.0ms
ival-pow: 31.0ms (52.1% of total)
ival-mult: 10.0ms (16.8% of total)
ival-sub: 6.0ms (10.1% of total)
ival-sqrt: 6.0ms (10.1% of total)
ival-add: 4.0ms (6.7% of total)
const: 2.0ms (3.4% of total)
ival-cbrt: 2.0ms (3.4% of total)

series137.0ms (2.2%)

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

33 calls:

TimeVariablePointExpression
73.0ms
x
@0
(cbrt (* y (sqrt x)))
35.0ms
y
@0
(cbrt (* y (sqrt x)))
7.0ms
x
@inf
(cbrt (* y (sqrt x)))
3.0ms
x
@-inf
(cbrt (* y (sqrt x)))
3.0ms
x
@-inf
(* x (pow y 2))

rewrite141.0ms (2.3%)

Algorithm
1×batch-egg-rewrite
Rules
1001×log1p-expm1-u
1001×expm1-log1p-u
577×fma-define
256×fma-neg
165×expm1-undefine
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
020134
1257112
23155112
Stop Event
1×node limit
Counts
6 → 209
Calls
Call 1
Inputs
(sqrt.f64 (*.f64 x (pow.f64 y #s(literal 2 binary64))))
(*.f64 x (pow.f64 y #s(literal 2 binary64)))
(+.f64 (-.f64 #s(literal 1 binary64) x) (sqrt.f64 (*.f64 x (pow.f64 y #s(literal 2 binary64)))))
(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))
Outputs
(-.f64 (exp.f64 (log1p.f64 (*.f64 y (sqrt.f64 x)))) #s(literal 1 binary64))
(*.f64 y (sqrt.f64 x))
(*.f64 (*.f64 y (sqrt.f64 x)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (*.f64 y (sqrt.f64 x)))
(*.f64 (sqrt.f64 x) y)
(*.f64 (cbrt.f64 (*.f64 y (sqrt.f64 x))) (cbrt.f64 (*.f64 x (pow.f64 y #s(literal 2 binary64)))))
(*.f64 (cbrt.f64 y) (*.f64 (cbrt.f64 (sqrt.f64 x)) (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 (*.f64 x (pow.f64 y #s(literal 2 binary64)))) (cbrt.f64 (*.f64 y (sqrt.f64 x))))
(*.f64 (cbrt.f64 x) (*.f64 (cbrt.f64 (sqrt.f64 x)) y))
(*.f64 (pow.f64 x #s(literal 1/4 binary64)) (*.f64 (pow.f64 x #s(literal 1/4 binary64)) y))
(*.f64 (sqrt.f64 (*.f64 y (sqrt.f64 x))) (sqrt.f64 (*.f64 y (sqrt.f64 x))))
(*.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 (sqrt.f64 y) (*.f64 (sqrt.f64 y) (sqrt.f64 x)))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 x (pow.f64 y #s(literal 2 binary64))))) #s(literal 3 binary64)) (cbrt.f64 (*.f64 y (sqrt.f64 x))))
(*.f64 (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 1/6 binary64)) #s(literal 3 binary64)))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/2 binary64)) (*.f64 y (sqrt.f64 x)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (*.f64 x (pow.f64 y #s(literal 2 binary64)))) #s(literal 2 binary64)) #s(literal 1/2 binary64)) (pow.f64 (cbrt.f64 (*.f64 x (pow.f64 y #s(literal 2 binary64)))) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 x (pow.f64 y #s(literal 2 binary64)))) #s(literal 2 binary64))) (cbrt.f64 (*.f64 y (sqrt.f64 x))))
(*.f64 (*.f64 y (cbrt.f64 x)) (cbrt.f64 (sqrt.f64 x)))
(*.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 (*.f64 (sqrt.f64 x) (sqrt.f64 y)) (sqrt.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)))) (cbrt.f64 y)) (cbrt.f64 (sqrt.f64 x)))
(*.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 x (pow.f64 y #s(literal 2 binary64))) #s(literal 1/2 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 (*.f64 x (pow.f64 y #s(literal 2 binary64)))) #s(literal 3/2 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))
(fabs.f64 (*.f64 y (sqrt.f64 x)))
(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 y #s(literal 3 binary64)) (pow.f64 x #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)))
(exp.f64 (*.f64 (log.f64 (*.f64 x (pow.f64 y #s(literal 2 binary64)))) #s(literal 1/2 binary64)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x (pow.f64 y #s(literal 2 binary64))))) #s(literal 1 binary64))
(pow.f64 (*.f64 x (pow.f64 y #s(literal 2 binary64))) #s(literal 1 binary64))
(pow.f64 (*.f64 y (sqrt.f64 x)) #s(literal 2 binary64))
(pow.f64 (cbrt.f64 (*.f64 y (sqrt.f64 x))) #s(literal 6 binary64))
(pow.f64 (cbrt.f64 (*.f64 x (pow.f64 y #s(literal 2 binary64)))) #s(literal 3 binary64))
(pow.f64 (*.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (*.f64 x (pow.f64 y #s(literal 2 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(sqrt.f64 (*.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 x #s(literal 2 binary64))))
(log.f64 (pow.f64 (exp.f64 (pow.f64 y #s(literal 2 binary64))) x))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x (pow.f64 y #s(literal 2 binary64))))))
(cbrt.f64 (pow.f64 (*.f64 x (pow.f64 y #s(literal 2 binary64))) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (pow.f64 y #s(literal 2 binary64)) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (pow.f64 y #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 x (pow.f64 y #s(literal 2 binary64)))))
(log1p.f64 (expm1.f64 (*.f64 x (pow.f64 y #s(literal 2 binary64)))))
(exp.f64 (log.f64 (*.f64 x (pow.f64 y #s(literal 2 binary64)))))
(exp.f64 (*.f64 (log.f64 (*.f64 x (pow.f64 y #s(literal 2 binary64)))) #s(literal 1 binary64)))
(-.f64 #s(literal 1 binary64) (-.f64 x (*.f64 y (sqrt.f64 x))))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 y (sqrt.f64 x) (-.f64 #s(literal 1 binary64) x)))) #s(literal 1 binary64))
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(cbrt.f64 (pow.f64 (*.f64 y (sqrt.f64 x)) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #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)))
(exp.f64 (*.f64 (log.f64 (*.f64 x (pow.f64 y #s(literal 2 binary64)))) #s(literal 1/2 binary64)))

simplify194.0ms (3.2%)

Algorithm
1×egg-herbie
Rules
401×exp-prod
359×cube-prod
308×distribute-lft-in
300×distribute-rgt-in
300×cancel-sign-sub-inv
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
03849839
17969332
223149233
369099233
Stop Event
1×node limit
Counts
305 → 259
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 (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 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) y))
(+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 (sqrt.f64 x) y)))
(+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 (sqrt.f64 x) y)))
(+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 (sqrt.f64 x) y)))
(*.f64 x (-.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y) #s(literal 1 binary64)))
(*.f64 x (-.f64 (+.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y) (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)))
(*.f64 x (-.f64 (+.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y) (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)))
(*.f64 x (-.f64 (+.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y) (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)))
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))))
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))) (/.f64 #s(literal 1 binary64) x))))
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))) (/.f64 #s(literal 1 binary64) x))))
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))) (/.f64 #s(literal 1 binary64) x))))
(-.f64 #s(literal 1 binary64) x)
(-.f64 (+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) y)) x)
(-.f64 (+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) y)) x)
(-.f64 (+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) y)) x)
(*.f64 (sqrt.f64 x) y)
(*.f64 y (-.f64 (+.f64 (sqrt.f64 x) (/.f64 #s(literal 1 binary64) y)) (/.f64 x y)))
(*.f64 y (-.f64 (+.f64 (sqrt.f64 x) (/.f64 #s(literal 1 binary64) y)) (/.f64 x y)))
(*.f64 y (-.f64 (+.f64 (sqrt.f64 x) (/.f64 #s(literal 1 binary64) y)) (/.f64 x y)))
(*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 x) y))
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (sqrt.f64 x) (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) y)))))
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (sqrt.f64 x) (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) y)))))
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (sqrt.f64 x) (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) 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)))))
(*.f64 (pow.f64 (*.f64 #s(literal -1 binary64) x) #s(literal 1/6 binary64)) (cbrt.f64 (*.f64 y (sqrt.f64 #s(literal -1 binary64)))))
(*.f64 (pow.f64 (*.f64 #s(literal -1 binary64) x) #s(literal 1/6 binary64)) (cbrt.f64 (*.f64 y (sqrt.f64 #s(literal -1 binary64)))))
(*.f64 (pow.f64 (*.f64 #s(literal -1 binary64) x) #s(literal 1/6 binary64)) (cbrt.f64 (*.f64 y (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 #s(literal -1 binary64) (*.f64 (sqrt.f64 x) (*.f64 y (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64)))))
(*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 x) (*.f64 y (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64)))))
(*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 x) (*.f64 y (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64)))))
(*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 x) (*.f64 y (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 3 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 (exp.f64 (log1p.f64 (*.f64 y (sqrt.f64 x)))) #s(literal 1 binary64))
(*.f64 y (sqrt.f64 x))
(*.f64 (*.f64 y (sqrt.f64 x)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (*.f64 y (sqrt.f64 x)))
(*.f64 (sqrt.f64 x) y)
(*.f64 (cbrt.f64 (*.f64 y (sqrt.f64 x))) (cbrt.f64 (*.f64 x (pow.f64 y #s(literal 2 binary64)))))
(*.f64 (cbrt.f64 y) (*.f64 (cbrt.f64 (sqrt.f64 x)) (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 (*.f64 x (pow.f64 y #s(literal 2 binary64)))) (cbrt.f64 (*.f64 y (sqrt.f64 x))))
(*.f64 (cbrt.f64 x) (*.f64 (cbrt.f64 (sqrt.f64 x)) y))
(*.f64 (pow.f64 x #s(literal 1/4 binary64)) (*.f64 (pow.f64 x #s(literal 1/4 binary64)) y))
(*.f64 (sqrt.f64 (*.f64 y (sqrt.f64 x))) (sqrt.f64 (*.f64 y (sqrt.f64 x))))
(*.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 (sqrt.f64 y) (*.f64 (sqrt.f64 y) (sqrt.f64 x)))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 x (pow.f64 y #s(literal 2 binary64))))) #s(literal 3 binary64)) (cbrt.f64 (*.f64 y (sqrt.f64 x))))
(*.f64 (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 1/6 binary64)) #s(literal 3 binary64)))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/2 binary64)) (*.f64 y (sqrt.f64 x)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (*.f64 x (pow.f64 y #s(literal 2 binary64)))) #s(literal 2 binary64)) #s(literal 1/2 binary64)) (pow.f64 (cbrt.f64 (*.f64 x (pow.f64 y #s(literal 2 binary64)))) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 x (pow.f64 y #s(literal 2 binary64)))) #s(literal 2 binary64))) (cbrt.f64 (*.f64 y (sqrt.f64 x))))
(*.f64 (*.f64 y (cbrt.f64 x)) (cbrt.f64 (sqrt.f64 x)))
(*.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 (*.f64 (sqrt.f64 x) (sqrt.f64 y)) (sqrt.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)))) (cbrt.f64 y)) (cbrt.f64 (sqrt.f64 x)))
(*.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 x (pow.f64 y #s(literal 2 binary64))) #s(literal 1/2 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 (*.f64 x (pow.f64 y #s(literal 2 binary64)))) #s(literal 3/2 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))
(fabs.f64 (*.f64 y (sqrt.f64 x)))
(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 y #s(literal 3 binary64)) (pow.f64 x #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)))
(exp.f64 (*.f64 (log.f64 (*.f64 x (pow.f64 y #s(literal 2 binary64)))) #s(literal 1/2 binary64)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x (pow.f64 y #s(literal 2 binary64))))) #s(literal 1 binary64))
(pow.f64 (*.f64 x (pow.f64 y #s(literal 2 binary64))) #s(literal 1 binary64))
(pow.f64 (*.f64 y (sqrt.f64 x)) #s(literal 2 binary64))
(pow.f64 (cbrt.f64 (*.f64 y (sqrt.f64 x))) #s(literal 6 binary64))
(pow.f64 (cbrt.f64 (*.f64 x (pow.f64 y #s(literal 2 binary64)))) #s(literal 3 binary64))
(pow.f64 (*.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (*.f64 x (pow.f64 y #s(literal 2 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(sqrt.f64 (*.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 x #s(literal 2 binary64))))
(log.f64 (pow.f64 (exp.f64 (pow.f64 y #s(literal 2 binary64))) x))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x (pow.f64 y #s(literal 2 binary64))))))
(cbrt.f64 (pow.f64 (*.f64 x (pow.f64 y #s(literal 2 binary64))) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (pow.f64 y #s(literal 2 binary64)) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (pow.f64 y #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 x (pow.f64 y #s(literal 2 binary64)))))
(log1p.f64 (expm1.f64 (*.f64 x (pow.f64 y #s(literal 2 binary64)))))
(exp.f64 (log.f64 (*.f64 x (pow.f64 y #s(literal 2 binary64)))))
(exp.f64 (*.f64 (log.f64 (*.f64 x (pow.f64 y #s(literal 2 binary64)))) #s(literal 1 binary64)))
(-.f64 #s(literal 1 binary64) (-.f64 x (*.f64 y (sqrt.f64 x))))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 y (sqrt.f64 x) (-.f64 #s(literal 1 binary64) x)))) #s(literal 1 binary64))
(-.f64 (/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (+.f64 x (*.f64 y (sqrt.f64 x))))) (/.f64 (*.f64 x (pow.f64 y #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (+.f64 x (*.f64 y (sqrt.f64 x))))))
(-.f64 (fma.f64 y (sqrt.f64 x) #s(literal 1 binary64)) x)
(*.f64 #s(literal 1 binary64) (fma.f64 y (sqrt.f64 x) (-.f64 #s(literal 1 binary64) x)))
(*.f64 (fma.f64 y (sqrt.f64 x) (-.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))
(*.f64 (cbrt.f64 (fma.f64 y (sqrt.f64 x) (-.f64 #s(literal 1 binary64) x))) (pow.f64 (cbrt.f64 (fma.f64 y (sqrt.f64 x) (-.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 y (sqrt.f64 x) (-.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64)) (cbrt.f64 (fma.f64 y (sqrt.f64 x) (-.f64 #s(literal 1 binary64) x))))
(*.f64 (sqrt.f64 (fma.f64 y (sqrt.f64 x) (-.f64 #s(literal 1 binary64) x))) (sqrt.f64 (fma.f64 y (sqrt.f64 x) (-.f64 #s(literal 1 binary64) x))))
(*.f64 (fma.f64 (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 y #s(literal 3 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y (sqrt.f64 x)) (-.f64 (*.f64 y (sqrt.f64 x)) (-.f64 #s(literal 1 binary64) x)) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))))
(*.f64 (-.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) (*.f64 x (pow.f64 y #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (+.f64 x (*.f64 y (sqrt.f64 x))))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 y (sqrt.f64 x)) (-.f64 (*.f64 y (sqrt.f64 x)) (-.f64 #s(literal 1 binary64) x)) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))) (fma.f64 (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 y #s(literal 3 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (+.f64 x (*.f64 y (sqrt.f64 x)))) (-.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) (*.f64 x (pow.f64 y #s(literal 2 binary64))))))
(/.f64 (fma.f64 (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 y #s(literal 3 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 3 binary64))) (fma.f64 (*.f64 y (sqrt.f64 x)) (-.f64 (*.f64 y (sqrt.f64 x)) (-.f64 #s(literal 1 binary64) x)) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))))
(/.f64 (fma.f64 (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 y #s(literal 3 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 3 binary64))) (fma.f64 x (pow.f64 y #s(literal 2 binary64)) (-.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) (*.f64 (*.f64 y (sqrt.f64 x)) (-.f64 #s(literal 1 binary64) x)))))
(/.f64 (-.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) (*.f64 x (pow.f64 y #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (+.f64 x (*.f64 y (sqrt.f64 x)))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 y #s(literal 3 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (*.f64 y (sqrt.f64 x)) (-.f64 (*.f64 y (sqrt.f64 x)) (-.f64 #s(literal 1 binary64) x)) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) (*.f64 x (pow.f64 y #s(literal 2 binary64))))) (neg.f64 (-.f64 #s(literal 1 binary64) (+.f64 x (*.f64 y (sqrt.f64 x))))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (-.f64 x (*.f64 y (sqrt.f64 x))) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (fma.f64 (-.f64 x (*.f64 y (sqrt.f64 x))) (-.f64 x (*.f64 y (sqrt.f64 x))) (-.f64 x (*.f64 y (sqrt.f64 x))))))
(/.f64 (-.f64 (*.f64 x (pow.f64 y #s(literal 2 binary64))) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))) (-.f64 (*.f64 y (sqrt.f64 x)) (-.f64 #s(literal 1 binary64) x)))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 x (*.f64 y (sqrt.f64 x))) (-.f64 x (*.f64 y (sqrt.f64 x))))) (+.f64 #s(literal 1 binary64) (-.f64 x (*.f64 y (sqrt.f64 x)))))
(pow.f64 (fma.f64 y (sqrt.f64 x) (-.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (fma.f64 y (sqrt.f64 x) (-.f64 #s(literal 1 binary64) x))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (fma.f64 y (sqrt.f64 x) (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (fma.f64 y (sqrt.f64 x) (-.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (fma.f64 y (sqrt.f64 x) (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)))
(log.f64 (exp.f64 (fma.f64 y (sqrt.f64 x) (-.f64 #s(literal 1 binary64) x))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 y (sqrt.f64 x) (-.f64 #s(literal 1 binary64) x)))))
(cbrt.f64 (pow.f64 (fma.f64 y (sqrt.f64 x) (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (fma.f64 y (sqrt.f64 x) (-.f64 #s(literal 1 binary64) x))))
(log1p.f64 (expm1.f64 (fma.f64 y (sqrt.f64 x) (-.f64 #s(literal 1 binary64) x))))
(exp.f64 (log.f64 (fma.f64 y (sqrt.f64 x) (-.f64 #s(literal 1 binary64) x))))
(exp.f64 (*.f64 (log.f64 (fma.f64 y (sqrt.f64 x) (-.f64 #s(literal 1 binary64) x))) #s(literal 1 binary64)))
(fma.f64 y (sqrt.f64 x) (-.f64 #s(literal 1 binary64) x))
(fma.f64 (*.f64 y (sqrt.f64 x)) #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x))
(fma.f64 #s(literal 1 binary64) (*.f64 y (sqrt.f64 x)) (-.f64 #s(literal 1 binary64) x))
(fma.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x) (*.f64 y (sqrt.f64 x)))
(fma.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1 binary64) (*.f64 y (sqrt.f64 x)))
(fma.f64 (sqrt.f64 x) y (-.f64 #s(literal 1 binary64) x))
(fma.f64 (cbrt.f64 (*.f64 y (sqrt.f64 x))) (cbrt.f64 (*.f64 x (pow.f64 y #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) x))
(fma.f64 (cbrt.f64 y) (*.f64 (cbrt.f64 (sqrt.f64 x)) (cbrt.f64 (*.f64 x (pow.f64 y #s(literal 2 binary64))))) (-.f64 #s(literal 1 binary64) x))
(fma.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (*.f64 (cbrt.f64 y) (sqrt.f64 x)) (-.f64 #s(literal 1 binary64) x))
(fma.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 #s(literal 1 binary64) x))
(fma.f64 (cbrt.f64 (-.f64 #s(literal 1 binary64) x)) (pow.f64 (cbrt.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)) (*.f64 y (sqrt.f64 x)))
(fma.f64 (pow.f64 (cbrt.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)) (cbrt.f64 (-.f64 #s(literal 1 binary64) x)) (*.f64 y (sqrt.f64 x)))
(fma.f64 (cbrt.f64 (*.f64 x (pow.f64 y #s(literal 2 binary64)))) (cbrt.f64 (*.f64 y (sqrt.f64 x))) (-.f64 #s(literal 1 binary64) x))
(fma.f64 (cbrt.f64 x) (*.f64 (cbrt.f64 (sqrt.f64 x)) y) (-.f64 #s(literal 1 binary64) x))
(fma.f64 (pow.f64 x #s(literal 1/4 binary64)) (*.f64 (pow.f64 x #s(literal 1/4 binary64)) y) (-.f64 #s(literal 1 binary64) x))
(fma.f64 (sqrt.f64 (*.f64 y (sqrt.f64 x))) (sqrt.f64 (*.f64 y (sqrt.f64 x))) (-.f64 #s(literal 1 binary64) x))
(fma.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 #s(literal 1 binary64) x))
(fma.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) (*.f64 y (sqrt.f64 x)))
(fma.f64 (sqrt.f64 y) (*.f64 (sqrt.f64 y) (sqrt.f64 x)) (-.f64 #s(literal 1 binary64) x))
(fma.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x (+.f64 x #s(literal 1 binary64)) #s(literal 1 binary64))) (*.f64 y (sqrt.f64 x)))
(fma.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (*.f64 y (sqrt.f64 x)))
(fma.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 x (pow.f64 y #s(literal 2 binary64))))) #s(literal 3 binary64)) (cbrt.f64 (*.f64 y (sqrt.f64 x))) (-.f64 #s(literal 1 binary64) x))
(fma.f64 (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 1/6 binary64)) #s(literal 3 binary64)) (-.f64 #s(literal 1 binary64) x))
(fma.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/2 binary64)) (*.f64 y (sqrt.f64 x)) (-.f64 #s(literal 1 binary64) x))
(fma.f64 (pow.f64 (pow.f64 (cbrt.f64 (*.f64 x (pow.f64 y #s(literal 2 binary64)))) #s(literal 2 binary64)) #s(literal 1/2 binary64)) (pow.f64 (cbrt.f64 (*.f64 x (pow.f64 y #s(literal 2 binary64)))) #s(literal 1/2 binary64)) (-.f64 #s(literal 1 binary64) x))
(fma.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 x (pow.f64 y #s(literal 2 binary64)))) #s(literal 2 binary64))) (cbrt.f64 (*.f64 y (sqrt.f64 x))) (-.f64 #s(literal 1 binary64) x))
(fma.f64 (*.f64 y (cbrt.f64 x)) (cbrt.f64 (sqrt.f64 x)) (-.f64 #s(literal 1 binary64) x))
(fma.f64 (*.f64 y (pow.f64 x #s(literal 1/4 binary64))) (pow.f64 x #s(literal 1/4 binary64)) (-.f64 #s(literal 1 binary64) x))
(fma.f64 (*.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (cbrt.f64 y) (-.f64 #s(literal 1 binary64) x))
(fma.f64 (*.f64 (sqrt.f64 x) (sqrt.f64 y)) (sqrt.f64 y) (-.f64 #s(literal 1 binary64) x))
(fma.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 #s(literal 1 binary64) x))
(fma.f64 (*.f64 (cbrt.f64 (*.f64 x (pow.f64 y #s(literal 2 binary64)))) (cbrt.f64 y)) (cbrt.f64 (sqrt.f64 x)) (-.f64 #s(literal 1 binary64) x))
(fma.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 #s(literal 1 binary64) x))
(fma.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 #s(literal 1 binary64) x))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 y #s(literal 2 binary64)))) #s(literal 1 binary64))
(*.f64 y y)
(*.f64 (pow.f64 y #s(literal 2 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (cbrt.f64 (pow.f64 y #s(literal 4 binary64))))
(*.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (*.f64 (cbrt.f64 y) y))
(*.f64 (cbrt.f64 (pow.f64 y #s(literal 4 binary64))) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)))
(*.f64 (sqrt.f64 y) (*.f64 (sqrt.f64 y) y))
(*.f64 (*.f64 y (sqrt.f64 y)) (sqrt.f64 y))
(*.f64 (*.f64 y (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (cbrt.f64 y))
(sqrt.f64 (pow.f64 y #s(literal 4 binary64)))
(log.f64 (exp.f64 (pow.f64 y #s(literal 2 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (pow.f64 y #s(literal 2 binary64)))))
(cbrt.f64 (pow.f64 (pow.f64 y #s(literal 2 binary64)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (pow.f64 y #s(literal 2 binary64))))
(log1p.f64 (expm1.f64 (pow.f64 y #s(literal 2 binary64))))
(exp.f64 (*.f64 #s(literal 2 binary64) (log.f64 y)))
(exp.f64 (*.f64 (*.f64 #s(literal 2 binary64) (log.f64 y)) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (cbrt.f64 (*.f64 y (sqrt.f64 x))))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (cbrt.f64 (*.f64 y (sqrt.f64 x))))
(*.f64 (cbrt.f64 (*.f64 y (sqrt.f64 x))) #s(literal 1 binary64))
(*.f64 (cbrt.f64 y) (cbrt.f64 (sqrt.f64 x)))
(*.f64 (cbrt.f64 (sqrt.f64 x)) (cbrt.f64 y))
(*.f64 (cbrt.f64 (cbrt.f64 (*.f64 y (sqrt.f64 x)))) (cbrt.f64 (cbrt.f64 (*.f64 x (pow.f64 y #s(literal 2 binary64))))))
(*.f64 (cbrt.f64 (cbrt.f64 (*.f64 y (sqrt.f64 x)))) (pow.f64 (cbrt.f64 (*.f64 x (pow.f64 y #s(literal 2 binary64)))) #s(literal 1/3 binary64)))
(*.f64 (cbrt.f64 (cbrt.f64 (*.f64 x (pow.f64 y #s(literal 2 binary64))))) (cbrt.f64 (cbrt.f64 (*.f64 y (sqrt.f64 x)))))
(*.f64 (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 (pow.f64 #s(literal 1 binary64) #s(literal 1/3 binary64)) (cbrt.f64 (*.f64 y (sqrt.f64 x))))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 x (pow.f64 y #s(literal 2 binary64)))) #s(literal 1/3 binary64)) (cbrt.f64 (cbrt.f64 (*.f64 y (sqrt.f64 x)))))
(*.f64 (pow.f64 (sqrt.f64 (*.f64 y (sqrt.f64 x))) #s(literal 1/3 binary64)) (pow.f64 (sqrt.f64 (*.f64 y (sqrt.f64 x))) #s(literal 1/3 binary64)))
(pow.f64 (*.f64 y (sqrt.f64 x)) #s(literal 1/3 binary64))
(pow.f64 (cbrt.f64 (*.f64 y (sqrt.f64 x))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 y (sqrt.f64 x)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 y (sqrt.f64 x)) #s(literal 1/6 binary64)) #s(literal 2 binary64))
(sqrt.f64 (cbrt.f64 (*.f64 x (pow.f64 y #s(literal 2 binary64)))))
(log.f64 (exp.f64 (cbrt.f64 (*.f64 y (sqrt.f64 x)))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (cbrt.f64 (*.f64 y (sqrt.f64 x))))))
(expm1.f64 (log1p.f64 (cbrt.f64 (*.f64 y (sqrt.f64 x)))))
(log1p.f64 (expm1.f64 (cbrt.f64 (*.f64 y (sqrt.f64 x)))))
(exp.f64 (log.f64 (cbrt.f64 (*.f64 y (sqrt.f64 x)))))
(exp.f64 (*.f64 (log.f64 (*.f64 y (sqrt.f64 x))) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 y (sqrt.f64 x)))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 y (sqrt.f64 x)))) #s(literal 1 binary64))
(*.f64 y (sqrt.f64 x))
(*.f64 (*.f64 y (sqrt.f64 x)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (*.f64 y (sqrt.f64 x)))
(*.f64 (sqrt.f64 x) y)
(*.f64 (cbrt.f64 (*.f64 y (sqrt.f64 x))) (cbrt.f64 (*.f64 x (pow.f64 y #s(literal 2 binary64)))))
(*.f64 (cbrt.f64 y) (*.f64 (cbrt.f64 (sqrt.f64 x)) (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 (*.f64 x (pow.f64 y #s(literal 2 binary64)))) (cbrt.f64 (*.f64 y (sqrt.f64 x))))
(*.f64 (cbrt.f64 x) (*.f64 (cbrt.f64 (sqrt.f64 x)) y))
(*.f64 (pow.f64 x #s(literal 1/4 binary64)) (*.f64 (pow.f64 x #s(literal 1/4 binary64)) y))
(*.f64 (sqrt.f64 (*.f64 y (sqrt.f64 x))) (sqrt.f64 (*.f64 y (sqrt.f64 x))))
(*.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 (sqrt.f64 y) (*.f64 (sqrt.f64 y) (sqrt.f64 x)))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 x (pow.f64 y #s(literal 2 binary64))))) #s(literal 3 binary64)) (cbrt.f64 (*.f64 y (sqrt.f64 x))))
(*.f64 (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 1/6 binary64)) #s(literal 3 binary64)))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/2 binary64)) (*.f64 y (sqrt.f64 x)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (*.f64 x (pow.f64 y #s(literal 2 binary64)))) #s(literal 2 binary64)) #s(literal 1/2 binary64)) (pow.f64 (cbrt.f64 (*.f64 x (pow.f64 y #s(literal 2 binary64)))) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 x (pow.f64 y #s(literal 2 binary64)))) #s(literal 2 binary64))) (cbrt.f64 (*.f64 y (sqrt.f64 x))))
(*.f64 (*.f64 y (cbrt.f64 x)) (cbrt.f64 (sqrt.f64 x)))
(*.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 (*.f64 (sqrt.f64 x) (sqrt.f64 y)) (sqrt.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)))) (cbrt.f64 y)) (cbrt.f64 (sqrt.f64 x)))
(*.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 (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 y #s(literal 3 binary64)) (pow.f64 x #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)))
(exp.f64 (*.f64 (log.f64 (*.f64 x (pow.f64 y #s(literal 2 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 (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)
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(*.f64 (cbrt.f64 (cbrt.f64 (*.f64 x (pow.f64 y #s(literal 2 binary64))))) (*.f64 (cbrt.f64 (*.f64 x (pow.f64 y #s(literal 2 binary64)))) (cbrt.f64 (cbrt.f64 (*.f64 (sqrt.f64 x) y)))))
(*.f64 (cbrt.f64 (cbrt.f64 (*.f64 (sqrt.f64 x) y))) (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 x (pow.f64 y #s(literal 2 binary64))))) #s(literal 4 binary64)))
(*.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 (cbrt.f64 (*.f64 (sqrt.f64 x) y)) (cbrt.f64 (*.f64 x (pow.f64 y #s(literal 2 binary64)))))
(sqrt.f64 (*.f64 x (pow.f64 y #s(literal 2 binary64))))
(fabs.f64 (*.f64 y (sqrt.f64 x)))
(*.f64 (sqrt.f64 x) y)
(log.f64 (pow.f64 (exp.f64 (sqrt.f64 x)) y))
(*.f64 (sqrt.f64 x) y)
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.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)
(cbrt.f64 (*.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3/2 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 (*.f64 y (sqrt.f64 x))) #s(literal 1 binary64)))
(*.f64 (sqrt.f64 x) y)
(exp.f64 (*.f64 (log.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))))

eval76.0ms (1.2%)

Compiler

Compiled 4345 to 2504 computations (42.4% saved)

prune145.0ms (2.4%)

Pruning

11 alts after pruning (9 fresh and 2 done)

PrunedKeptTotal
New2799288
Fresh000
Picked112
Done011
Total28011291
Accuracy
100.0%
Counts
291 → 11
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶57.5%
(/.f64 (-.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) (*.f64 x (pow.f64 y #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (+.f64 x (*.f64 (sqrt.f64 x) y))))
▶62.4%
(-.f64 #s(literal 1 binary64) x)
✓99.3%
(+.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)))
99.5%
(+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 (cbrt.f64 x) (*.f64 (cbrt.f64 (sqrt.f64 x)) y)))
✓99.8%
(+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (sqrt.f64 x)))
▶70.5%
(+.f64 (-.f64 #s(literal 1 binary64) x) (sqrt.f64 (*.f64 x (*.f64 y y))))
72.6%
(+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) y))
98.7%
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 y (sqrt.f64 x) (-.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64)) (cbrt.f64 (fma.f64 y (sqrt.f64 x) (-.f64 #s(literal 1 binary64) x))))
88.7%
(*.f64 y (+.f64 (sqrt.f64 x) (/.f64 (-.f64 #s(literal 1 binary64) x) y)))
▶59.0%
(*.f64 x (-.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y) #s(literal 1 binary64)))
Compiler

Compiled 265 to 189 computations (28.7% saved)

localize381.0ms (6.2%)

Localize:

Found 13 expressions with local error:

NewAccuracyProgram
✓99.5%
(*.f64 (sqrt.f64 x) y)
✓93.0%
(-.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) (*.f64 x (pow.f64 y #s(literal 2 binary64))))
87.2%
(*.f64 x (pow.f64 y #s(literal 2 binary64)))
✓64.4%
(/.f64 (-.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) (*.f64 x (pow.f64 y #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (+.f64 x (*.f64 (sqrt.f64 x) y))))
✓100.0%
(+.f64 (-.f64 #s(literal 1 binary64) x) (sqrt.f64 (*.f64 x (*.f64 y y))))
✓87.2%
(*.f64 x (*.f64 y y))
✓63.0%
(sqrt.f64 (*.f64 x (*.f64 y y)))
✓99.8%
(sqrt.f64 (/.f64 #s(literal 1 binary64) x))
✓99.5%
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y)
✓93.5%
(*.f64 x (-.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y) #s(literal 1 binary64)))
✓100.0%
(pow.f64 x #s(literal 1/4 binary64))
✓99.6%
(*.f64 (pow.f64 x #s(literal 1/4 binary64)) y)
✓99.6%
(*.f64 (pow.f64 x #s(literal 1/4 binary64)) (*.f64 (pow.f64 x #s(literal 1/4 binary64)) y))
Results
235.0ms256×256valid
Compiler

Compiled 180 to 99 computations (45% saved)

Precisions
Click to see histograms. Total time spent on operations: 178.0ms
ival-pow: 86.0ms (48.4% of total)
ival-mult: 26.0ms (14.6% of total)
ival-sqrt: 24.0ms (13.5% of total)
ival-sub: 19.0ms (10.7% of total)
ival-div: 14.0ms (7.9% of total)
ival-add: 4.0ms (2.3% of total)
const: 4.0ms (2.3% of total)

series97.0ms (1.6%)

Counts
12 → 212
Calls
Call 1
Inputs
#<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 (pow.f64 x #s(literal 1/4 binary64))>
#<alt (*.f64 x (-.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y) #s(literal 1 binary64)))>
#<alt (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y)>
#<alt (sqrt.f64 (/.f64 #s(literal 1 binary64) x))>
#<alt (sqrt.f64 (*.f64 x (*.f64 y y)))>
#<alt (*.f64 x (*.f64 y y))>
#<alt (+.f64 (-.f64 #s(literal 1 binary64) x) (sqrt.f64 (*.f64 x (*.f64 y y))))>
#<alt (/.f64 (-.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) (*.f64 x (pow.f64 y #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (+.f64 x (*.f64 (sqrt.f64 x) y))))>
#<alt (-.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) (*.f64 x (pow.f64 y #s(literal 2 binary64))))>
#<alt (*.f64 (sqrt.f64 x) y)>
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 (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 (pow.f64 (*.f64 #s(literal 1 binary64) x) #s(literal 1/4 binary64))>
#<alt (pow.f64 (*.f64 #s(literal 1 binary64) x) #s(literal 1/4 binary64))>
#<alt (pow.f64 (*.f64 #s(literal 1 binary64) x) #s(literal 1/4 binary64))>
#<alt (pow.f64 (*.f64 #s(literal 1 binary64) x) #s(literal 1/4 binary64))>
#<alt (pow.f64 (*.f64 #s(literal 1 binary64) x) #s(literal 1/4 binary64))>
#<alt (pow.f64 (*.f64 #s(literal 1 binary64) x) #s(literal 1/4 binary64))>
#<alt (pow.f64 (*.f64 #s(literal 1 binary64) x) #s(literal 1/4 binary64))>
#<alt (pow.f64 (*.f64 #s(literal 1 binary64) x) #s(literal 1/4 binary64))>
#<alt (exp.f64 (*.f64 #s(literal 1/4 binary64) (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x))))))>
#<alt (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 (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 (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 (sqrt.f64 x) y)>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 (sqrt.f64 x) y))>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 (sqrt.f64 x) y))>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 (sqrt.f64 x) y))>
#<alt (*.f64 x (-.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))) #s(literal 1 binary64)))>
#<alt (*.f64 x (-.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))) #s(literal 1 binary64)))>
#<alt (*.f64 x (-.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))) #s(literal 1 binary64)))>
#<alt (*.f64 x (-.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))) #s(literal 1 binary64)))>
#<alt (*.f64 #s(literal -1 binary64) x)>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 (sqrt.f64 x) y))>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 (sqrt.f64 x) y))>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 (sqrt.f64 x) y))>
#<alt (*.f64 (sqrt.f64 x) y)>
#<alt (*.f64 y (+.f64 (sqrt.f64 x) (*.f64 #s(literal -1 binary64) (/.f64 x y))))>
#<alt (*.f64 y (+.f64 (sqrt.f64 x) (*.f64 #s(literal -1 binary64) (/.f64 x y))))>
#<alt (*.f64 y (+.f64 (sqrt.f64 x) (*.f64 #s(literal -1 binary64) (/.f64 x y))))>
#<alt (*.f64 (sqrt.f64 x) y)>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 x)) (/.f64 x y))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 x)) (/.f64 x y))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 x)) (/.f64 x y))))>
#<alt (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))>
#<alt (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))>
#<alt (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))>
#<alt (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))>
#<alt (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))>
#<alt (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))>
#<alt (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))>
#<alt (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (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) 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 x (pow.f64 y #s(literal 2 binary64)))>
#<alt (*.f64 x (pow.f64 y #s(literal 2 binary64)))>
#<alt (*.f64 x (pow.f64 y #s(literal 2 binary64)))>
#<alt (*.f64 x (pow.f64 y #s(literal 2 binary64)))>
#<alt (*.f64 x (pow.f64 y #s(literal 2 binary64)))>
#<alt (*.f64 x (pow.f64 y #s(literal 2 binary64)))>
#<alt (*.f64 x (pow.f64 y #s(literal 2 binary64)))>
#<alt (*.f64 x (pow.f64 y #s(literal 2 binary64)))>
#<alt (*.f64 x (pow.f64 y #s(literal 2 binary64)))>
#<alt (*.f64 x (pow.f64 y #s(literal 2 binary64)))>
#<alt (*.f64 x (pow.f64 y #s(literal 2 binary64)))>
#<alt (*.f64 x (pow.f64 y #s(literal 2 binary64)))>
#<alt (*.f64 x (pow.f64 y #s(literal 2 binary64)))>
#<alt (*.f64 x (pow.f64 y #s(literal 2 binary64)))>
#<alt (*.f64 x (pow.f64 y #s(literal 2 binary64)))>
#<alt (*.f64 x (pow.f64 y #s(literal 2 binary64)))>
#<alt (*.f64 x (pow.f64 y #s(literal 2 binary64)))>
#<alt (*.f64 x (pow.f64 y #s(literal 2 binary64)))>
#<alt (*.f64 x (pow.f64 y #s(literal 2 binary64)))>
#<alt (*.f64 x (pow.f64 y #s(literal 2 binary64)))>
#<alt (*.f64 x (pow.f64 y #s(literal 2 binary64)))>
#<alt (*.f64 x (pow.f64 y #s(literal 2 binary64)))>
#<alt (*.f64 x (pow.f64 y #s(literal 2 binary64)))>
#<alt (*.f64 x (pow.f64 y #s(literal 2 binary64)))>
#<alt (+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) y))>
#<alt (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 (sqrt.f64 x) y)))>
#<alt (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 (sqrt.f64 x) y)))>
#<alt (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 (sqrt.f64 x) y)))>
#<alt (*.f64 x (-.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y) #s(literal 1 binary64)))>
#<alt (*.f64 x (-.f64 (+.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y) (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)))>
#<alt (*.f64 x (-.f64 (+.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y) (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)))>
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#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 2 binary64) (*.f64 #s(literal -1 binary64) (pow.f64 y #s(literal 2 binary64)))) x))))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 2 binary64) (+.f64 (*.f64 #s(literal -1 binary64) (pow.f64 y #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) x))) x))))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 2 binary64) (+.f64 (*.f64 #s(literal -1 binary64) (pow.f64 y #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) x))) x))))>
#<alt (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 x (pow.f64 y #s(literal 2 binary64)))) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 x (pow.f64 y #s(literal 2 binary64)))) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 x (pow.f64 y #s(literal 2 binary64)))) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (pow.f64 y #s(literal 2 binary64))))>
#<alt (*.f64 (pow.f64 y #s(literal 2 binary64)) (-.f64 (/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) x))>
#<alt (*.f64 (pow.f64 y #s(literal 2 binary64)) (-.f64 (/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) x))>
#<alt (*.f64 (pow.f64 y #s(literal 2 binary64)) (-.f64 (/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) x))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (pow.f64 y #s(literal 2 binary64))))>
#<alt (*.f64 (pow.f64 y #s(literal 2 binary64)) (-.f64 (/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) x))>
#<alt (*.f64 (pow.f64 y #s(literal 2 binary64)) (-.f64 (/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) x))>
#<alt (*.f64 (pow.f64 y #s(literal 2 binary64)) (-.f64 (/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) x))>
#<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
20.0ms
x
@-inf
(* x (- (* (sqrt (/ 1 x)) y) 1))
18.0ms
y
@0
(* (pow x 1/4) y)
13.0ms
x
@-inf
(* (pow x 1/4) y)
7.0ms
x
@0
(* (pow x 1/4) y)
4.0ms
x
@inf
(* (pow x 1/4) y)

rewrite123.0ms (2%)

Algorithm
1×batch-egg-rewrite
Rules
250×log1p-expm1-u
250×expm1-log1p-u
244×add-cube-cbrt
242×add-exp-log
241×pow1
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
033337
1564252
Stop Event
1×node limit
Counts
12 → 364
Calls
Call 1
Inputs
(*.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)
(pow.f64 x #s(literal 1/4 binary64))
(*.f64 x (-.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y) #s(literal 1 binary64)))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y)
(sqrt.f64 (/.f64 #s(literal 1 binary64) x))
(sqrt.f64 (*.f64 x (*.f64 y y)))
(*.f64 x (*.f64 y y))
(+.f64 (-.f64 #s(literal 1 binary64) x) (sqrt.f64 (*.f64 x (*.f64 y y))))
(/.f64 (-.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) (*.f64 x (pow.f64 y #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (+.f64 x (*.f64 (sqrt.f64 x) y))))
(-.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) (*.f64 x (pow.f64 y #s(literal 2 binary64))))
(*.f64 (sqrt.f64 x) y)
Outputs
(-.f64 (exp.f64 (log1p.f64 (*.f64 y (sqrt.f64 x)))) #s(literal 1 binary64))
(pow.f64 (*.f64 x (pow.f64 y #s(literal 2 binary64))) #s(literal 1/2 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 (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))
(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))
(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 (pow.f64 x #s(literal 1/4 binary64)) y) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (*.f64 (pow.f64 x #s(literal 1/4 binary64)) y) #s(literal 3 binary64)) (pow.f64 (pow.f64 x #s(literal 1/4 binary64)) #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 (*.f64 y (sqrt.f64 x))) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (*.f64 x (pow.f64 y #s(literal 2 binary64)))) #s(literal 1/2 binary64)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (pow.f64 x #s(literal 1/4 binary64)) y))) #s(literal 1 binary64))
(pow.f64 (*.f64 (pow.f64 x #s(literal 1/4 binary64)) y) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 (pow.f64 x #s(literal 1/4 binary64)) y)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 (pow.f64 x #s(literal 1/4 binary64)) y) #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 (pow.f64 y #s(literal 2 binary64)) (sqrt.f64 x)))
(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 (pow.f64 x #s(literal 1/4 binary64)) y))))
(cbrt.f64 (pow.f64 (*.f64 (pow.f64 x #s(literal 1/4 binary64)) y) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 (pow.f64 x #s(literal 1/4 binary64)) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 (pow.f64 x #s(literal 1/4 binary64)) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 (pow.f64 x #s(literal 1/4 binary64)) y)))
(log1p.f64 (expm1.f64 (*.f64 (pow.f64 x #s(literal 1/4 binary64)) y)))
(exp.f64 (log.f64 (*.f64 (pow.f64 x #s(literal 1/4 binary64)) y)))
(exp.f64 (*.f64 (log.f64 (*.f64 (pow.f64 x #s(literal 1/4 binary64)) y)) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 x #s(literal 1/4 binary64)))) #s(literal 1 binary64))
(*.f64 (pow.f64 x #s(literal 1/4 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 1/4 binary64)))
(*.f64 (cbrt.f64 (sqrt.f64 x)) (cbrt.f64 (pow.f64 x #s(literal 1/4 binary64))))
(*.f64 (cbrt.f64 (pow.f64 x #s(literal 1/4 binary64))) (cbrt.f64 (sqrt.f64 x)))
(*.f64 (pow.f64 x #s(literal 1/8 binary64)) (pow.f64 x #s(literal 1/8 binary64)))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/4 binary64)) (pow.f64 x #s(literal 1/4 binary64)))
(*.f64 (pow.f64 (sqrt.f64 x) #s(literal 1/4 binary64)) (pow.f64 (sqrt.f64 x) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (pow.f64 (cbrt.f64 x) #s(literal 1/4 binary64)))
(*.f64 (sqrt.f64 (cbrt.f64 x)) (sqrt.f64 (cbrt.f64 (sqrt.f64 x))))
(sqrt.f64 (sqrt.f64 x))
(fabs.f64 (pow.f64 x #s(literal 1/4 binary64)))
(log.f64 (exp.f64 (pow.f64 x #s(literal 1/4 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (pow.f64 x #s(literal 1/4 binary64)))))
(cbrt.f64 (pow.f64 (pow.f64 x #s(literal 1/4 binary64)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (pow.f64 x #s(literal 1/4 binary64))))
(log1p.f64 (expm1.f64 (pow.f64 x #s(literal 1/4 binary64))))
(exp.f64 (log.f64 (pow.f64 x #s(literal 1/4 binary64))))
(exp.f64 (*.f64 (log.f64 (pow.f64 x #s(literal 1/4 binary64))) #s(literal 1 binary64)))
(+.f64 (*.f64 x (/.f64 y (sqrt.f64 x))) (*.f64 x #s(literal -1 binary64)))
(+.f64 (*.f64 (/.f64 y (sqrt.f64 x)) x) (neg.f64 x))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x (fma.f64 y (pow.f64 x #s(literal -1/2 binary64)) #s(literal -1 binary64))))) #s(literal 1 binary64))
(/.f64 (*.f64 x (+.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 2 binary64)) (fma.f64 y (pow.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64))))
(/.f64 (*.f64 x (+.f64 (pow.f64 (/.f64 y (sqrt.f64 x)) #s(literal 2 binary64)) #s(literal -1 binary64))) (fma.f64 y (pow.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(/.f64 (*.f64 (+.f64 (pow.f64 (/.f64 y (sqrt.f64 x)) #s(literal 3 binary64)) #s(literal -1 binary64)) x) (+.f64 (pow.f64 (/.f64 y (sqrt.f64 x)) #s(literal 2 binary64)) (fma.f64 y (pow.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64))))
(/.f64 (*.f64 (+.f64 (pow.f64 (/.f64 y (sqrt.f64 x)) #s(literal 2 binary64)) #s(literal -1 binary64)) x) (fma.f64 y (pow.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(pow.f64 (*.f64 x (fma.f64 y (pow.f64 x #s(literal -1/2 binary64)) #s(literal -1 binary64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 x (fma.f64 y (pow.f64 x #s(literal -1/2 binary64)) #s(literal -1 binary64)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 x (fma.f64 y (pow.f64 x #s(literal -1/2 binary64)) #s(literal -1 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 x (fma.f64 y (pow.f64 x #s(literal -1/2 binary64)) #s(literal -1 binary64)))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 x (fma.f64 y (pow.f64 x #s(literal -1/2 binary64)) #s(literal -1 binary64))) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 x) (fma.f64 y (pow.f64 x #s(literal -1/2 binary64)) #s(literal -1 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x (fma.f64 y (pow.f64 x #s(literal -1/2 binary64)) #s(literal -1 binary64))))))
(cbrt.f64 (pow.f64 (*.f64 x (fma.f64 y (pow.f64 x #s(literal -1/2 binary64)) #s(literal -1 binary64))) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (fma.f64 y (pow.f64 x #s(literal -1/2 binary64)) #s(literal -1 binary64)) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (fma.f64 y (pow.f64 x #s(literal -1/2 binary64)) #s(literal -1 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 x (fma.f64 y (pow.f64 x #s(literal -1/2 binary64)) #s(literal -1 binary64)))))
(log1p.f64 (expm1.f64 (*.f64 x (fma.f64 y (pow.f64 x #s(literal -1/2 binary64)) #s(literal -1 binary64)))))
(exp.f64 (log.f64 (*.f64 x (fma.f64 y (pow.f64 x #s(literal -1/2 binary64)) #s(literal -1 binary64)))))
(exp.f64 (*.f64 (log.f64 (*.f64 x (fma.f64 y (pow.f64 x #s(literal -1/2 binary64)) #s(literal -1 binary64)))) #s(literal 1 binary64)))
(-.f64 (fma.f64 y (pow.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))
(/.f64 y (sqrt.f64 x))
(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 (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))
(sqrt.f64 (pow.f64 (/.f64 y (sqrt.f64 x)) #s(literal 2 binary64)))
(log.f64 (exp.f64 (/.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 (log.f64 (/.f64 y (sqrt.f64 x))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 x #s(literal -1/2 binary64)))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -1/2 binary64)))
(*.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64))
(*.f64 (cbrt.f64 (pow.f64 x #s(literal -1/2 binary64))) (/.f64 #s(literal 1 binary64) (cbrt.f64 x)))
(*.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 x)) (cbrt.f64 (pow.f64 x #s(literal -1/2 binary64))))
(*.f64 (sqrt.f64 (pow.f64 x #s(literal -1/2 binary64))) (sqrt.f64 (pow.f64 x #s(literal -1/2 binary64))))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/2 binary64)) (pow.f64 x #s(literal -1/2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 x)) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 (cbrt.f64 (pow.f64 x #s(literal -2 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 x))))
(/.f64 #s(literal 1 binary64) (sqrt.f64 x))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 x) #s(literal 1 binary64)))
(/.f64 #s(literal -1 binary64) (neg.f64 (sqrt.f64 x)))
(/.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 x)) (cbrt.f64 (sqrt.f64 x)))
(/.f64 (sqrt.f64 (pow.f64 x #s(literal -1/2 binary64))) (pow.f64 x #s(literal 1/4 binary64)))
(/.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (neg.f64 x)))
(pow.f64 x #s(literal -1/2 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64))
(pow.f64 (sqrt.f64 x) #s(literal -1 binary64))
(pow.f64 (cbrt.f64 (pow.f64 x #s(literal -1/2 binary64))) #s(literal 3 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3/2 binary64))) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (pow.f64 x #s(literal -1/2 binary64))) #s(literal 2 binary64))
(fabs.f64 (pow.f64 x #s(literal -1/2 binary64)))
(log.f64 (exp.f64 (pow.f64 x #s(literal -1/2 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (pow.f64 x #s(literal -1/2 binary64)))))
(cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3/2 binary64))))
(expm1.f64 (log1p.f64 (pow.f64 x #s(literal -1/2 binary64))))
(log1p.f64 (expm1.f64 (pow.f64 x #s(literal -1/2 binary64))))
(exp.f64 (log.f64 (pow.f64 x #s(literal -1/2 binary64))))
(exp.f64 (*.f64 (neg.f64 (log.f64 x)) #s(literal 1/2 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 x #s(literal -1/2 binary64))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 y (sqrt.f64 x)))) #s(literal 1 binary64))
(*.f64 (pow.f64 x #s(literal 1/4 binary64)) (*.f64 (pow.f64 x #s(literal 1/4 binary64)) y))
(*.f64 y (sqrt.f64 x))
(*.f64 (*.f64 (pow.f64 x #s(literal 1/4 binary64)) y) (pow.f64 x #s(literal 1/4 binary64)))
(*.f64 #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 (cbrt.f64 (sqrt.f64 x)) (*.f64 (cbrt.f64 (pow.f64 x #s(literal 1/4 binary64))) (*.f64 (pow.f64 x #s(literal 1/4 binary64)) y)))
(*.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (*.f64 (cbrt.f64 y) (sqrt.f64 x)))
(*.f64 (cbrt.f64 (*.f64 y (sqrt.f64 x))) (cbrt.f64 (*.f64 x (pow.f64 y #s(literal 2 binary64)))))
(*.f64 (cbrt.f64 (*.f64 x (pow.f64 y #s(literal 2 binary64)))) (cbrt.f64 (*.f64 y (sqrt.f64 x))))
(*.f64 (cbrt.f64 (*.f64 (pow.f64 y #s(literal 2 binary64)) (sqrt.f64 x))) (*.f64 (cbrt.f64 (*.f64 (pow.f64 x #s(literal 1/4 binary64)) y)) (pow.f64 x #s(literal 1/4 binary64))))
(*.f64 (cbrt.f64 x) (*.f64 (cbrt.f64 (sqrt.f64 x)) y))
(*.f64 (sqrt.f64 (*.f64 y (sqrt.f64 x))) (sqrt.f64 (*.f64 y (sqrt.f64 x))))
(*.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 y) (*.f64 (sqrt.f64 y) (sqrt.f64 x)))
(*.f64 (pow.f64 x #s(literal 1/8 binary64)) (*.f64 (pow.f64 x #s(literal 1/8 binary64)) (*.f64 (pow.f64 x #s(literal 1/4 binary64)) y)))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/2 binary64)) (*.f64 y (sqrt.f64 x)))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 x #s(literal 2 binary64)))) #s(literal 1/2 binary64)) (pow.f64 (cbrt.f64 (*.f64 x (pow.f64 y #s(literal 2 binary64)))) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (*.f64 x y) #s(literal 1/2 binary64)) (sqrt.f64 y))
(*.f64 (sqrt.f64 (cbrt.f64 (*.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 x #s(literal 2 binary64))))) (sqrt.f64 (cbrt.f64 (*.f64 x (pow.f64 y #s(literal 2 binary64))))))
(*.f64 (sqrt.f64 (*.f64 x y)) (sqrt.f64 y))
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(*.f64 (-.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) (*.f64 x (pow.f64 y #s(literal 2 binary64)))) #s(literal 1 binary64))
(*.f64 (cbrt.f64 (-.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) (*.f64 x (pow.f64 y #s(literal 2 binary64))))) (pow.f64 (cbrt.f64 (-.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) (*.f64 x (pow.f64 y #s(literal 2 binary64))))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) (*.f64 x (pow.f64 y #s(literal 2 binary64))))) #s(literal 2 binary64)) (cbrt.f64 (-.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) (*.f64 x (pow.f64 y #s(literal 2 binary64))))))
(*.f64 (sqrt.f64 (-.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) (*.f64 x (pow.f64 y #s(literal 2 binary64))))) (sqrt.f64 (-.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) (*.f64 x (pow.f64 y #s(literal 2 binary64))))))
(*.f64 (-.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 6 binary64)) (pow.f64 (*.f64 x (pow.f64 y #s(literal 2 binary64))) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 4 binary64)) (*.f64 (*.f64 x (pow.f64 y #s(literal 2 binary64))) (+.f64 (*.f64 x (pow.f64 y #s(literal 2 binary64))) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))))))
(*.f64 (-.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 4 binary64)) (*.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 x #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x (pow.f64 y #s(literal 2 binary64))) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 4 binary64)) (*.f64 (*.f64 x (pow.f64 y #s(literal 2 binary64))) (+.f64 (*.f64 x (pow.f64 y #s(literal 2 binary64))) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))))) (-.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 6 binary64)) (pow.f64 (*.f64 x (pow.f64 y #s(literal 2 binary64))) #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (*.f64 x (pow.f64 y #s(literal 2 binary64))) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))) (-.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 4 binary64)) (*.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 x #s(literal 2 binary64))))))
(/.f64 (-.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 6 binary64)) (pow.f64 (*.f64 x (pow.f64 y #s(literal 2 binary64))) #s(literal 3 binary64))) (+.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 4 binary64)) (*.f64 (*.f64 x (pow.f64 y #s(literal 2 binary64))) (+.f64 (*.f64 x (pow.f64 y #s(literal 2 binary64))) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))))))
(/.f64 (-.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 4 binary64)) (*.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 x #s(literal 2 binary64)))) (+.f64 (*.f64 x (pow.f64 y #s(literal 2 binary64))) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 6 binary64)) (pow.f64 (*.f64 x (pow.f64 y #s(literal 2 binary64))) #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 4 binary64)) (*.f64 (*.f64 x (pow.f64 y #s(literal 2 binary64))) (+.f64 (*.f64 x (pow.f64 y #s(literal 2 binary64))) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 4 binary64)) (*.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 x #s(literal 2 binary64))))) (neg.f64 (+.f64 (*.f64 x (pow.f64 y #s(literal 2 binary64))) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))))
(/.f64 (+.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 6 binary64)) (pow.f64 (*.f64 x (neg.f64 (pow.f64 y #s(literal 2 binary64)))) #s(literal 3 binary64))) (+.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 4 binary64)) (-.f64 (*.f64 (*.f64 x (neg.f64 (pow.f64 y #s(literal 2 binary64)))) (*.f64 x (neg.f64 (pow.f64 y #s(literal 2 binary64))))) (*.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) (*.f64 x (neg.f64 (pow.f64 y #s(literal 2 binary64))))))))
(/.f64 (-.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 4 binary64)) (*.f64 (*.f64 x (neg.f64 (pow.f64 y #s(literal 2 binary64)))) (*.f64 x (neg.f64 (pow.f64 y #s(literal 2 binary64)))))) (-.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) (*.f64 x (neg.f64 (pow.f64 y #s(literal 2 binary64))))))
(pow.f64 (-.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) (*.f64 x (pow.f64 y #s(literal 2 binary64)))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (-.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) (*.f64 x (pow.f64 y #s(literal 2 binary64))))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (-.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) (*.f64 x (pow.f64 y #s(literal 2 binary64)))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (-.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) (*.f64 x (pow.f64 y #s(literal 2 binary64))))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (-.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) (*.f64 x (pow.f64 y #s(literal 2 binary64)))) #s(literal 2 binary64)))
(log.f64 (exp.f64 (-.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) (*.f64 x (pow.f64 y #s(literal 2 binary64))))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (-.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) (*.f64 x (pow.f64 y #s(literal 2 binary64)))))))
(cbrt.f64 (pow.f64 (-.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) (*.f64 x (pow.f64 y #s(literal 2 binary64)))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (-.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) (*.f64 x (pow.f64 y #s(literal 2 binary64))))))
(log1p.f64 (expm1.f64 (-.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) (*.f64 x (pow.f64 y #s(literal 2 binary64))))))
(exp.f64 (log.f64 (-.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) (*.f64 x (pow.f64 y #s(literal 2 binary64))))))
(exp.f64 (*.f64 (log.f64 (-.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) (*.f64 x (pow.f64 y #s(literal 2 binary64))))) #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) (*.f64 x (neg.f64 (pow.f64 y #s(literal 2 binary64)))))
(fma.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x) (*.f64 x (neg.f64 (pow.f64 y #s(literal 2 binary64)))))
(fma.f64 (cbrt.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 4 binary64))) (pow.f64 (cbrt.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)) (*.f64 x (neg.f64 (pow.f64 y #s(literal 2 binary64)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 y (sqrt.f64 x)))) #s(literal 1 binary64))
(pow.f64 (*.f64 x (pow.f64 y #s(literal 2 binary64))) #s(literal 1/2 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 (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))
(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))
(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 (pow.f64 x #s(literal 1/4 binary64)) y) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (*.f64 (pow.f64 x #s(literal 1/4 binary64)) y) #s(literal 3 binary64)) (pow.f64 (pow.f64 x #s(literal 1/4 binary64)) #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 (*.f64 y (sqrt.f64 x))) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (*.f64 x (pow.f64 y #s(literal 2 binary64)))) #s(literal 1/2 binary64)))

simplify314.0ms (5.1%)

Algorithm
1×egg-herbie
Rules
809×fma-neg
497×associate-*r*
458×associate-*l*
345×fma-define
287×*-commutative
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
083225370
1207624135
2792124116
Stop Event
1×node limit
Counts
576 → 483
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 (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 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)))))))
(*.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)
(pow.f64 (*.f64 #s(literal 1 binary64) x) #s(literal 1/4 binary64))
(pow.f64 (*.f64 #s(literal 1 binary64) x) #s(literal 1/4 binary64))
(pow.f64 (*.f64 #s(literal 1 binary64) x) #s(literal 1/4 binary64))
(pow.f64 (*.f64 #s(literal 1 binary64) x) #s(literal 1/4 binary64))
(pow.f64 (*.f64 #s(literal 1 binary64) x) #s(literal 1/4 binary64))
(pow.f64 (*.f64 #s(literal 1 binary64) x) #s(literal 1/4 binary64))
(pow.f64 (*.f64 #s(literal 1 binary64) x) #s(literal 1/4 binary64))
(pow.f64 (*.f64 #s(literal 1 binary64) x) #s(literal 1/4 binary64))
(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))))))
(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))))))
(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))))))
(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 (sqrt.f64 x) y)
(+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 (sqrt.f64 x) y))
(+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 (sqrt.f64 x) y))
(+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 (sqrt.f64 x) y))
(*.f64 x (-.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))) #s(literal 1 binary64)))
(*.f64 x (-.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))) #s(literal 1 binary64)))
(*.f64 x (-.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))) #s(literal 1 binary64)))
(*.f64 x (-.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))) #s(literal 1 binary64)))
(*.f64 #s(literal -1 binary64) x)
(+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 (sqrt.f64 x) y))
(+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 (sqrt.f64 x) y))
(+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 (sqrt.f64 x) y))
(*.f64 (sqrt.f64 x) y)
(*.f64 y (+.f64 (sqrt.f64 x) (*.f64 #s(literal -1 binary64) (/.f64 x y))))
(*.f64 y (+.f64 (sqrt.f64 x) (*.f64 #s(literal -1 binary64) (/.f64 x y))))
(*.f64 y (+.f64 (sqrt.f64 x) (*.f64 #s(literal -1 binary64) (/.f64 x y))))
(*.f64 (sqrt.f64 x) y)
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 x)) (/.f64 x y))))
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 x)) (/.f64 x y))))
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 x)) (/.f64 x y))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (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)
(*.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 x (pow.f64 y #s(literal 2 binary64)))
(*.f64 x (pow.f64 y #s(literal 2 binary64)))
(*.f64 x (pow.f64 y #s(literal 2 binary64)))
(*.f64 x (pow.f64 y #s(literal 2 binary64)))
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(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (*.f64 x (pow.f64 y #s(literal 2 binary64))) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))) (-.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 4 binary64)) (*.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 x #s(literal 2 binary64))))))
(/.f64 (-.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 6 binary64)) (pow.f64 (*.f64 x (pow.f64 y #s(literal 2 binary64))) #s(literal 3 binary64))) (+.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 4 binary64)) (*.f64 (*.f64 x (pow.f64 y #s(literal 2 binary64))) (+.f64 (*.f64 x (pow.f64 y #s(literal 2 binary64))) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))))))
(/.f64 (-.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 4 binary64)) (*.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 x #s(literal 2 binary64)))) (+.f64 (*.f64 x (pow.f64 y #s(literal 2 binary64))) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 6 binary64)) (pow.f64 (*.f64 x (pow.f64 y #s(literal 2 binary64))) #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 4 binary64)) (*.f64 (*.f64 x (pow.f64 y #s(literal 2 binary64))) (+.f64 (*.f64 x (pow.f64 y #s(literal 2 binary64))) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 4 binary64)) (*.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 x #s(literal 2 binary64))))) (neg.f64 (+.f64 (*.f64 x (pow.f64 y #s(literal 2 binary64))) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))))
(/.f64 (+.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 6 binary64)) (pow.f64 (*.f64 x (neg.f64 (pow.f64 y #s(literal 2 binary64)))) #s(literal 3 binary64))) (+.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 4 binary64)) (-.f64 (*.f64 (*.f64 x (neg.f64 (pow.f64 y #s(literal 2 binary64)))) (*.f64 x (neg.f64 (pow.f64 y #s(literal 2 binary64))))) (*.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) (*.f64 x (neg.f64 (pow.f64 y #s(literal 2 binary64))))))))
(/.f64 (-.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 4 binary64)) (*.f64 (*.f64 x (neg.f64 (pow.f64 y #s(literal 2 binary64)))) (*.f64 x (neg.f64 (pow.f64 y #s(literal 2 binary64)))))) (-.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) (*.f64 x (neg.f64 (pow.f64 y #s(literal 2 binary64))))))
(pow.f64 (-.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) (*.f64 x (pow.f64 y #s(literal 2 binary64)))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (-.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) (*.f64 x (pow.f64 y #s(literal 2 binary64))))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (-.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) (*.f64 x (pow.f64 y #s(literal 2 binary64)))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (-.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) (*.f64 x (pow.f64 y #s(literal 2 binary64))))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (-.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) (*.f64 x (pow.f64 y #s(literal 2 binary64)))) #s(literal 2 binary64)))
(log.f64 (exp.f64 (-.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) (*.f64 x (pow.f64 y #s(literal 2 binary64))))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (-.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) (*.f64 x (pow.f64 y #s(literal 2 binary64)))))))
(cbrt.f64 (pow.f64 (-.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) (*.f64 x (pow.f64 y #s(literal 2 binary64)))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (-.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) (*.f64 x (pow.f64 y #s(literal 2 binary64))))))
(log1p.f64 (expm1.f64 (-.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) (*.f64 x (pow.f64 y #s(literal 2 binary64))))))
(exp.f64 (log.f64 (-.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) (*.f64 x (pow.f64 y #s(literal 2 binary64))))))
(exp.f64 (*.f64 (log.f64 (-.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) (*.f64 x (pow.f64 y #s(literal 2 binary64))))) #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) (*.f64 x (neg.f64 (pow.f64 y #s(literal 2 binary64)))))
(fma.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x) (*.f64 x (neg.f64 (pow.f64 y #s(literal 2 binary64)))))
(fma.f64 (cbrt.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 4 binary64))) (pow.f64 (cbrt.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)) (*.f64 x (neg.f64 (pow.f64 y #s(literal 2 binary64)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 y (sqrt.f64 x)))) #s(literal 1 binary64))
(pow.f64 (*.f64 x (pow.f64 y #s(literal 2 binary64))) #s(literal 1/2 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 (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))
(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))
(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 (pow.f64 x #s(literal 1/4 binary64)) y) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (*.f64 (pow.f64 x #s(literal 1/4 binary64)) y) #s(literal 3 binary64)) (pow.f64 (pow.f64 x #s(literal 1/4 binary64)) #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 (*.f64 y (sqrt.f64 x))) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (*.f64 x (pow.f64 y #s(literal 2 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 (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)))
(*.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 (pow.f64 (exp.f64 #s(literal 1/4 binary64)) (+.f64 (log.f64 #s(literal -1 binary64)) (neg.f64 (log.f64 (/.f64 #s(literal -1 binary64) x))))))
(*.f64 y (pow.f64 (exp.f64 #s(literal 1/4 binary64)) (-.f64 (log.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 (pow.f64 (exp.f64 #s(literal 1/4 binary64)) (+.f64 (log.f64 #s(literal -1 binary64)) (neg.f64 (log.f64 (/.f64 #s(literal -1 binary64) x))))))
(*.f64 y (pow.f64 (exp.f64 #s(literal 1/4 binary64)) (-.f64 (log.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 (pow.f64 (exp.f64 #s(literal 1/4 binary64)) (+.f64 (log.f64 #s(literal -1 binary64)) (neg.f64 (log.f64 (/.f64 #s(literal -1 binary64) x))))))
(*.f64 y (pow.f64 (exp.f64 #s(literal 1/4 binary64)) (-.f64 (log.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 (pow.f64 (exp.f64 #s(literal 1/4 binary64)) (+.f64 (log.f64 #s(literal -1 binary64)) (neg.f64 (log.f64 (/.f64 #s(literal -1 binary64) x))))))
(*.f64 y (pow.f64 (exp.f64 #s(literal 1/4 binary64)) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x)))))
(*.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)))
(*.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)))
(pow.f64 (*.f64 #s(literal 1 binary64) x) #s(literal 1/4 binary64))
(pow.f64 x #s(literal 1/4 binary64))
(pow.f64 (*.f64 #s(literal 1 binary64) x) #s(literal 1/4 binary64))
(pow.f64 x #s(literal 1/4 binary64))
(pow.f64 (*.f64 #s(literal 1 binary64) x) #s(literal 1/4 binary64))
(pow.f64 x #s(literal 1/4 binary64))
(pow.f64 (*.f64 #s(literal 1 binary64) x) #s(literal 1/4 binary64))
(pow.f64 x #s(literal 1/4 binary64))
(pow.f64 (*.f64 #s(literal 1 binary64) x) #s(literal 1/4 binary64))
(pow.f64 x #s(literal 1/4 binary64))
(pow.f64 (*.f64 #s(literal 1 binary64) x) #s(literal 1/4 binary64))
(pow.f64 x #s(literal 1/4 binary64))
(pow.f64 (*.f64 #s(literal 1 binary64) x) #s(literal 1/4 binary64))
(pow.f64 x #s(literal 1/4 binary64))
(pow.f64 (*.f64 #s(literal 1 binary64) x) #s(literal 1/4 binary64))
(pow.f64 x #s(literal 1/4 binary64))
(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))))))
(pow.f64 (exp.f64 #s(literal 1/4 binary64)) (+.f64 (log.f64 #s(literal -1 binary64)) (neg.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)))))
(pow.f64 (exp.f64 #s(literal 1/4 binary64)) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))))
(exp.f64 (*.f64 #s(literal 1/4 binary64) (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x))))))
(pow.f64 (exp.f64 #s(literal 1/4 binary64)) (+.f64 (log.f64 #s(literal -1 binary64)) (neg.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)))))
(pow.f64 (exp.f64 #s(literal 1/4 binary64)) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))))
(exp.f64 (*.f64 #s(literal 1/4 binary64) (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x))))))
(pow.f64 (exp.f64 #s(literal 1/4 binary64)) (+.f64 (log.f64 #s(literal -1 binary64)) (neg.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)))))
(pow.f64 (exp.f64 #s(literal 1/4 binary64)) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))))
(exp.f64 (*.f64 #s(literal 1/4 binary64) (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x))))))
(pow.f64 (exp.f64 #s(literal 1/4 binary64)) (+.f64 (log.f64 #s(literal -1 binary64)) (neg.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)))))
(pow.f64 (exp.f64 #s(literal 1/4 binary64)) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))))
(*.f64 (sqrt.f64 x) y)
(+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 (sqrt.f64 x) y))
(fma.f64 #s(literal -1 binary64) x (*.f64 (sqrt.f64 x) y))
(-.f64 (*.f64 (sqrt.f64 x) y) x)
(+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 (sqrt.f64 x) y))
(fma.f64 #s(literal -1 binary64) x (*.f64 (sqrt.f64 x) y))
(-.f64 (*.f64 (sqrt.f64 x) y) x)
(+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 (sqrt.f64 x) y))
(fma.f64 #s(literal -1 binary64) x (*.f64 (sqrt.f64 x) y))
(-.f64 (*.f64 (sqrt.f64 x) y) x)
(*.f64 x (-.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))) #s(literal 1 binary64)))
(*.f64 x (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) #s(literal -1 binary64)))
(*.f64 x (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (neg.f64 y) #s(literal -1 binary64)))
(*.f64 x (-.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))) #s(literal 1 binary64)))
(*.f64 x (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) #s(literal -1 binary64)))
(*.f64 x (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (neg.f64 y) #s(literal -1 binary64)))
(*.f64 x (-.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))) #s(literal 1 binary64)))
(*.f64 x (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) #s(literal -1 binary64)))
(*.f64 x (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (neg.f64 y) #s(literal -1 binary64)))
(*.f64 x (-.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))) #s(literal 1 binary64)))
(*.f64 x (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) #s(literal -1 binary64)))
(*.f64 x (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (neg.f64 y) #s(literal -1 binary64)))
(*.f64 #s(literal -1 binary64) x)
(neg.f64 x)
(+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 (sqrt.f64 x) y))
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(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)
(sqrt.f64 (*.f64 x (pow.f64 y #s(literal 2 binary64))))
(fabs.f64 (*.f64 y (sqrt.f64 x)))
(*.f64 (sqrt.f64 x) y)
(log.f64 (pow.f64 (exp.f64 (sqrt.f64 x)) y))
(*.f64 (sqrt.f64 x) y)
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.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)
(cbrt.f64 (*.f64 (pow.f64 (pow.f64 x #s(literal 1/4 binary64)) #s(literal 3 binary64)) (pow.f64 (*.f64 (pow.f64 x #s(literal 1/4 binary64)) y) #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 (pow.f64 x #s(literal 1/4 binary64)) y) #s(literal 3 binary64)) (pow.f64 (pow.f64 x #s(literal 1/4 binary64)) #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))))
(expm1.f64 (log1p.f64 (*.f64 y (sqrt.f64 x))))
(expm1.f64 (log1p.f64 (*.f64 (sqrt.f64 x) y)))
(+.f64 #s(literal -1 binary64) (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64)))
(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 (*.f64 y (sqrt.f64 x))) #s(literal 1 binary64)))
(*.f64 (sqrt.f64 x) y)
(exp.f64 (*.f64 (log.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))))

eval248.0ms (4%)

Compiler

Compiled 12982 to 8467 computations (34.8% saved)

prune84.0ms (1.4%)

Pruning

11 alts after pruning (9 fresh and 2 done)

PrunedKeptTotal
New5227529
Fresh224
Picked325
Done202
Total52911540
Accuracy
100.0%
Counts
540 → 11
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶99.7%
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 x) y (-.f64 #s(literal 1 binary64) x))))
▶65.3%
(-.f64 (*.f64 (sqrt.f64 x) y) x)
✓62.4%
(-.f64 #s(literal 1 binary64) x)
✓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)))
99.5%
(+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 (pow.f64 x #s(literal 1/4 binary64)) (*.f64 (*.f64 (cbrt.f64 (pow.f64 x #s(literal 1/4 binary64))) (cbrt.f64 (sqrt.f64 x))) y)))
▶53.3%
(+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 (sqrt.f64 (*.f64 x y)) (sqrt.f64 y)))
72.6%
(+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) y))
88.7%
(*.f64 y (+.f64 (sqrt.f64 x) (/.f64 (-.f64 #s(literal 1 binary64) x) y)))
59.1%
(*.f64 x (-.f64 (/.f64 y (sqrt.f64 x)) #s(literal 1 binary64)))
▶59.0%
(*.f64 x (-.f64 (*.f64 (pow.f64 x #s(literal -1/2 binary64)) y) #s(literal 1 binary64)))
▶28.0%
(neg.f64 x)
Compiler

Compiled 218 to 157 computations (28% saved)

localize163.0ms (2.7%)

Localize:

Found 9 expressions with local error:

NewAccuracyProgram
✓99.7%
(*.f64 (sqrt.f64 (*.f64 x y)) (sqrt.f64 y))
✓89.2%
(sqrt.f64 (*.f64 x y))
✓99.7%
(*.f64 (pow.f64 x #s(literal -1/2 binary64)) y)
✓97.0%
(*.f64 x (-.f64 (*.f64 (pow.f64 x #s(literal -1/2 binary64)) y) #s(literal 1 binary64)))
✓100.0%
(-.f64 (*.f64 (sqrt.f64 x) y) x)
✓99.8%
(*.f64 (sqrt.f64 x) y)
✓99.9%
(fma.f64 (sqrt.f64 x) y (-.f64 #s(literal 1 binary64) x))
✓99.8%
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 x) y (-.f64 #s(literal 1 binary64) x))))
✓99.8%
(/.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 x) y (-.f64 #s(literal 1 binary64) x)))
Results
67.0ms141×256valid
53.0ms115×256invalid
Compiler

Compiled 116 to 53 computations (54.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 99.0ms
ival-pow: 32.0ms (32.3% of total)
ival-mult: 18.0ms (18.2% of total)
ival-sub: 13.0ms (13.1% of total)
<compiled-spec>: 13.0ms (13.1% of total)
ival-add: 7.0ms (7.1% of total)
ival-div: 6.0ms (6.1% of total)
ival-sqrt: 6.0ms (6.1% of total)
const: 2.0ms (2% of total)
ival-neg: 1.0ms (1% of total)

series24.0ms (0.4%)

Counts
9 → 177
Calls
Call 1
Inputs
#<alt (/.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 x) y (-.f64 #s(literal 1 binary64) x)))>
#<alt (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 x) y (-.f64 #s(literal 1 binary64) x))))>
#<alt (fma.f64 (sqrt.f64 x) y (-.f64 #s(literal 1 binary64) x))>
#<alt (*.f64 (sqrt.f64 x) y)>
#<alt (-.f64 (*.f64 (sqrt.f64 x) y) x)>
#<alt (*.f64 x (-.f64 (*.f64 (pow.f64 x #s(literal -1/2 binary64)) y) #s(literal 1 binary64)))>
#<alt (*.f64 (pow.f64 x #s(literal -1/2 binary64)) y)>
#<alt (sqrt.f64 (*.f64 x y))>
#<alt (*.f64 (sqrt.f64 (*.f64 x y)) (sqrt.f64 y))>
Outputs
#<alt (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) y)))>
#<alt (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) y))) (/.f64 x (pow.f64 (+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) y)) #s(literal 2 binary64))))>
#<alt (+.f64 (*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) y)) #s(literal 2 binary64))) (/.f64 x (pow.f64 (+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) y)) #s(literal 3 binary64))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) y))))>
#<alt (+.f64 (*.f64 x (+.f64 (*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) y)) #s(literal 3 binary64))) (/.f64 x (pow.f64 (+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) y)) #s(literal 4 binary64))))) (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) y)) #s(literal 2 binary64))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) y))))>
#<alt (/.f64 #s(literal 1 binary64) (*.f64 x (-.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y) #s(literal 1 binary64))))>
#<alt (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 x (pow.f64 (-.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y) #s(literal 1 binary64)) #s(literal 2 binary64))))) x)>
#<alt (/.f64 (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (-.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y) #s(literal 1 binary64)) #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y) #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (*.f64 x (pow.f64 (-.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y) #s(literal 1 binary64)) #s(literal 2 binary64))))) x)>
#<alt (/.f64 (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (-.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y) #s(literal 1 binary64)) #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y) #s(literal 1 binary64)))) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (pow.f64 (-.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y) #s(literal 1 binary64)) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (-.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y) #s(literal 1 binary64)) #s(literal 4 binary64)))))) x)>
#<alt (/.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (pow.f64 (+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))))) x))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (pow.f64 (+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))) #s(literal 2 binary64)))) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))) #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))))) x))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (pow.f64 (+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))) #s(literal 4 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))) #s(literal 3 binary64)))) x)) (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))) #s(literal 2 binary64)))) x)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))))) x))>
#<alt (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x))>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 x) (/.f64 y (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x)))>
#<alt (+.f64 (*.f64 y (-.f64 (/.f64 (*.f64 x y) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 3 binary64))) (*.f64 (sqrt.f64 x) (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x)))>
#<alt (+.f64 (*.f64 y (-.f64 (*.f64 y (-.f64 (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 (pow.f64 x #s(literal 3 binary64))) (/.f64 y (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 4 binary64))))) (*.f64 #s(literal -1 binary64) (/.f64 x (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 3 binary64)))))) (*.f64 (sqrt.f64 x) (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x)))>
#<alt (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) y))>
#<alt (/.f64 (-.f64 (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) y)) (/.f64 #s(literal 1 binary64) (*.f64 x y))) y)>
#<alt (/.f64 (-.f64 (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))) (pow.f64 y #s(literal 2 binary64))))) (/.f64 #s(literal 1 binary64) y))) (/.f64 #s(literal 1 binary64) (*.f64 x y))) y)>
#<alt (/.f64 (-.f64 (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (+.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 (*.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))) (*.f64 x (pow.f64 y #s(literal 3 binary64)))))) (+.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))) (pow.f64 y #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (*.f64 x y)))) y)>
#<alt (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) y))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) y))) y))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))) y)))) (/.f64 #s(literal 1 binary64) x)) y))) y))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))) (*.f64 x y))) (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)))))) y))) (/.f64 #s(literal 1 binary64) x)) y))) y))>
#<alt (+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) y))>
#<alt (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 (sqrt.f64 x) y)))>
#<alt (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 (sqrt.f64 x) y)))>
#<alt (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 (sqrt.f64 x) y)))>
#<alt (*.f64 x (-.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y) #s(literal 1 binary64)))>
#<alt (*.f64 x (-.f64 (+.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y) (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)))>
#<alt (*.f64 x (-.f64 (+.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y) (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)))>
#<alt (*.f64 x (-.f64 (+.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y) (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))) (/.f64 #s(literal 1 binary64) x))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))) (/.f64 #s(literal 1 binary64) x))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))) (/.f64 #s(literal 1 binary64) x))))>
#<alt (-.f64 #s(literal 1 binary64) x)>
#<alt (-.f64 (+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) y)) x)>
#<alt (-.f64 (+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) y)) x)>
#<alt (-.f64 (+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) y)) x)>
#<alt (*.f64 (sqrt.f64 x) y)>
#<alt (*.f64 y (-.f64 (+.f64 (sqrt.f64 x) (/.f64 #s(literal 1 binary64) y)) (/.f64 x y)))>
#<alt (*.f64 y (-.f64 (+.f64 (sqrt.f64 x) (/.f64 #s(literal 1 binary64) y)) (/.f64 x y)))>
#<alt (*.f64 y (-.f64 (+.f64 (sqrt.f64 x) (/.f64 #s(literal 1 binary64) y)) (/.f64 x y)))>
#<alt (*.f64 (sqrt.f64 x) y)>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 x)) (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) y)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 x)) (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) y)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 x)) (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) y)))))>
#<alt (+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) y))>
#<alt (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 (sqrt.f64 x) y)))>
#<alt (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 (sqrt.f64 x) y)))>
#<alt (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 (sqrt.f64 x) y)))>
#<alt (*.f64 x (-.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y) #s(literal 1 binary64)))>
#<alt (*.f64 x (-.f64 (+.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y) (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)))>
#<alt (*.f64 x (-.f64 (+.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y) (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)))>
#<alt (*.f64 x (-.f64 (+.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y) (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))) (/.f64 #s(literal 1 binary64) x))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))) (/.f64 #s(literal 1 binary64) x))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))) (/.f64 #s(literal 1 binary64) x))))>
#<alt (-.f64 #s(literal 1 binary64) x)>
#<alt (-.f64 (+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) y)) x)>
#<alt (-.f64 (+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) y)) x)>
#<alt (-.f64 (+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) y)) x)>
#<alt (*.f64 (sqrt.f64 x) y)>
#<alt (*.f64 y (-.f64 (+.f64 (sqrt.f64 x) (/.f64 #s(literal 1 binary64) y)) (/.f64 x y)))>
#<alt (*.f64 y (-.f64 (+.f64 (sqrt.f64 x) (/.f64 #s(literal 1 binary64) y)) (/.f64 x y)))>
#<alt (*.f64 y (-.f64 (+.f64 (sqrt.f64 x) (/.f64 #s(literal 1 binary64) y)) (/.f64 x y)))>
#<alt (*.f64 (sqrt.f64 x) y)>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 x)) (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) y)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 x)) (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) y)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 x)) (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) 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 (*.f64 #s(literal -1 binary64) x) (*.f64 (sqrt.f64 x) y))>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 (sqrt.f64 x) y))>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 (sqrt.f64 x) y))>
#<alt (*.f64 x (-.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y) #s(literal 1 binary64)))>
#<alt (*.f64 x (-.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y) #s(literal 1 binary64)))>
#<alt (*.f64 x (-.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y) #s(literal 1 binary64)))>
#<alt (*.f64 x (-.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y) #s(literal 1 binary64)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))))>
#<alt (*.f64 #s(literal -1 binary64) x)>
#<alt (*.f64 (sqrt.f64 x) y)>
#<alt (*.f64 y (+.f64 (sqrt.f64 x) (*.f64 #s(literal -1 binary64) (/.f64 x y))))>
#<alt (*.f64 y (+.f64 (sqrt.f64 x) (*.f64 #s(literal -1 binary64) (/.f64 x y))))>
#<alt (*.f64 y (+.f64 (sqrt.f64 x) (*.f64 #s(literal -1 binary64) (/.f64 x y))))>
#<alt (*.f64 (sqrt.f64 x) y)>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 x)) (/.f64 x y))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 x)) (/.f64 x y))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 x)) (/.f64 x y))))>
#<alt (*.f64 (sqrt.f64 x) y)>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 (sqrt.f64 x) y))>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 (sqrt.f64 x) y))>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 (sqrt.f64 x) y))>
#<alt (*.f64 x (-.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y) #s(literal 1 binary64)))>
#<alt (*.f64 x (-.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y) #s(literal 1 binary64)))>
#<alt (*.f64 x (-.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y) #s(literal 1 binary64)))>
#<alt (*.f64 x (-.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y) #s(literal 1 binary64)))>
#<alt (*.f64 x (-.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))) #s(literal 1 binary64)))>
#<alt (*.f64 x (-.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))) #s(literal 1 binary64)))>
#<alt (*.f64 x (-.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))) #s(literal 1 binary64)))>
#<alt (*.f64 x (-.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))) #s(literal 1 binary64)))>
#<alt (*.f64 #s(literal -1 binary64) x)>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 (sqrt.f64 x) y))>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 (sqrt.f64 x) y))>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 (sqrt.f64 x) y))>
#<alt (*.f64 (sqrt.f64 x) y)>
#<alt (*.f64 y (+.f64 (sqrt.f64 x) (*.f64 #s(literal -1 binary64) (/.f64 x y))))>
#<alt (*.f64 y (+.f64 (sqrt.f64 x) (*.f64 #s(literal -1 binary64) (/.f64 x y))))>
#<alt (*.f64 y (+.f64 (sqrt.f64 x) (*.f64 #s(literal -1 binary64) (/.f64 x y))))>
#<alt (*.f64 (sqrt.f64 x) y)>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 x)) (/.f64 x y))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 x)) (/.f64 x y))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 x)) (/.f64 x y))))>
#<alt (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y)>
#<alt (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y)>
#<alt (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y)>
#<alt (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y)>
#<alt (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y)>
#<alt (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y)>
#<alt (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y)>
#<alt (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y)>
#<alt (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))>
#<alt (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))>
#<alt (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))>
#<alt (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))>
#<alt (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y)>
#<alt (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y)>
#<alt (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y)>
#<alt (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y)>
#<alt (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y)>
#<alt (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y)>
#<alt (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y)>
#<alt (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y)>
#<alt (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y)>
#<alt (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y)>
#<alt (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y)>
#<alt (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y)>
#<alt (*.f64 #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)))))>
Calls

54 calls:

TimeVariablePointExpression
4.0ms
x
@-inf
(/ 1 (+ (* (sqrt x) y) (- 1 x)))
1.0ms
x
@inf
(/ 1 (+ (* (sqrt x) y) (- 1 x)))
1.0ms
y
@-inf
(* (sqrt (* x y)) (sqrt y))
1.0ms
y
@inf
(/ 1 (+ (* (sqrt x) y) (- 1 x)))
1.0ms
y
@-inf
(/ 1 (+ (* (sqrt x) y) (- 1 x)))

rewrite215.0ms (3.5%)

Algorithm
1×batch-egg-rewrite
Rules
1029×log1p-expm1-u
867×expm1-log1p-u
164×add-exp-log
163×add-log-exp
163×pow1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
026216
1405216
24986216
Stop Event
1×node limit
Counts
9 → 235
Calls
Call 1
Inputs
(/.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 x) y (-.f64 #s(literal 1 binary64) x)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 x) y (-.f64 #s(literal 1 binary64) x))))
(fma.f64 (sqrt.f64 x) y (-.f64 #s(literal 1 binary64) x))
(*.f64 (sqrt.f64 x) y)
(-.f64 (*.f64 (sqrt.f64 x) y) x)
(*.f64 x (-.f64 (*.f64 (pow.f64 x #s(literal -1/2 binary64)) y) #s(literal 1 binary64)))
(*.f64 (pow.f64 x #s(literal -1/2 binary64)) y)
(sqrt.f64 (*.f64 x y))
(*.f64 (sqrt.f64 (*.f64 x y)) (sqrt.f64 y))
Outputs
(-.f64 (exp.f64 (log1p.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 x) y (-.f64 #s(literal 1 binary64) x))))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 x) y (-.f64 #s(literal 1 binary64) x))))
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 x) y (-.f64 #s(literal 1 binary64) x))) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (fma.f64 (sqrt.f64 x) y (-.f64 #s(literal 1 binary64) x))))
(*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 x) y (-.f64 #s(literal 1 binary64) x)))) (cbrt.f64 (pow.f64 (fma.f64 (sqrt.f64 x) y (-.f64 #s(literal 1 binary64) x)) #s(literal -2 binary64))))
(*.f64 (cbrt.f64 (pow.f64 (fma.f64 (sqrt.f64 x) y (-.f64 #s(literal 1 binary64) x)) #s(literal -2 binary64))) (cbrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 x) y (-.f64 #s(literal 1 binary64) x)))))
(*.f64 (cbrt.f64 (pow.f64 (fma.f64 (sqrt.f64 x) y (-.f64 #s(literal 1 binary64) x)) #s(literal -2 binary64))) (/.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 x) y (-.f64 #s(literal 1 binary64) x)))) #s(literal 1 binary64)))
(*.f64 (pow.f64 (fma.f64 (sqrt.f64 x) y (-.f64 #s(literal 1 binary64) x)) #s(literal -1/2 binary64)) (pow.f64 (fma.f64 (sqrt.f64 x) y (-.f64 #s(literal 1 binary64) x)) #s(literal -1/2 binary64)))
(*.f64 (pow.f64 (fma.f64 (sqrt.f64 x) y (-.f64 #s(literal 1 binary64) x)) #s(literal -1/2 binary64)) (/.f64 (pow.f64 (fma.f64 (sqrt.f64 x) y (-.f64 #s(literal 1 binary64) x)) #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (fma.f64 (sqrt.f64 x) y (-.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64)) #s(literal -1 binary64)) (pow.f64 (cbrt.f64 (fma.f64 (sqrt.f64 x) y (-.f64 #s(literal 1 binary64) x))) #s(literal -1 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (fma.f64 (sqrt.f64 x) y (-.f64 #s(literal 1 binary64) x))) #s(literal -1 binary64)) (pow.f64 (sqrt.f64 (fma.f64 (sqrt.f64 x) y (-.f64 #s(literal 1 binary64) x))) #s(literal -1 binary64)))
(pow.f64 (fma.f64 (sqrt.f64 x) y (-.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 x) y (-.f64 #s(literal 1 binary64) x))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 x) y (-.f64 #s(literal 1 binary64) x)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 x) y (-.f64 #s(literal 1 binary64) x))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (pow.f64 (fma.f64 (sqrt.f64 x) y (-.f64 #s(literal 1 binary64) x)) #s(literal -1/2 binary64)) #s(literal 2 binary64))
(neg.f64 (/.f64 #s(literal -1 binary64) (fma.f64 (sqrt.f64 x) y (-.f64 #s(literal 1 binary64) x))))
(sqrt.f64 (pow.f64 (fma.f64 (sqrt.f64 x) y (-.f64 #s(literal 1 binary64) x)) #s(literal -2 binary64)))
(log.f64 (exp.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 x) y (-.f64 #s(literal 1 binary64) x)))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 x) y (-.f64 #s(literal 1 binary64) x))))))
(cbrt.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 x) y (-.f64 #s(literal 1 binary64) x))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 x) y (-.f64 #s(literal 1 binary64) x)))))
(log1p.f64 (expm1.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 x) y (-.f64 #s(literal 1 binary64) x)))))
(exp.f64 (neg.f64 (log.f64 (fma.f64 (sqrt.f64 x) y (-.f64 #s(literal 1 binary64) x)))))
(exp.f64 (*.f64 (log.f64 (fma.f64 (sqrt.f64 x) y (-.f64 #s(literal 1 binary64) x))) #s(literal -1 binary64)))
(exp.f64 (*.f64 (neg.f64 (log.f64 (fma.f64 (sqrt.f64 x) y (-.f64 #s(literal 1 binary64) x)))) #s(literal 1 binary64)))
(+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 (sqrt.f64 x) y))
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(cbrt.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (fma.f64 y (pow.f64 x #s(literal -1/2 binary64)) #s(literal -1 binary64)) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (fma.f64 y (pow.f64 x #s(literal -1/2 binary64)) #s(literal -1 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 x (fma.f64 y (pow.f64 x #s(literal -1/2 binary64)) #s(literal -1 binary64)))))
(log1p.f64 (expm1.f64 (*.f64 x (fma.f64 y (pow.f64 x #s(literal -1/2 binary64)) #s(literal -1 binary64)))))
(exp.f64 (log.f64 (*.f64 x (fma.f64 y (pow.f64 x #s(literal -1/2 binary64)) #s(literal -1 binary64)))))
(exp.f64 (*.f64 (log.f64 (*.f64 x (fma.f64 y (pow.f64 x #s(literal -1/2 binary64)) #s(literal -1 binary64)))) #s(literal 1 binary64)))
(-.f64 (fma.f64 y (pow.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))
(pow.f64 (*.f64 y (pow.f64 x #s(literal -1/2 binary64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 y (pow.f64 x #s(literal -1/2 binary64)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 y (pow.f64 x #s(literal -1/2 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (*.f64 (sqrt.f64 y) (pow.f64 x #s(literal -1/4 binary64))) #s(literal 2 binary64))
(sqrt.f64 (*.f64 (pow.f64 x #s(literal -1 binary64)) (pow.f64 y #s(literal 2 binary64))))
(log.f64 (pow.f64 (exp.f64 (pow.f64 x #s(literal -1/2 binary64))) y))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 y (pow.f64 x #s(literal -1/2 binary64))))))
(cbrt.f64 (pow.f64 (*.f64 y (pow.f64 x #s(literal -1/2 binary64))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 y (pow.f64 x #s(literal -1/2 binary64)))))
(log1p.f64 (expm1.f64 (*.f64 y (pow.f64 x #s(literal -1/2 binary64)))))
(exp.f64 (log.f64 (*.f64 y (pow.f64 x #s(literal -1/2 binary64)))))
(exp.f64 (*.f64 (log.f64 (*.f64 y (pow.f64 x #s(literal -1/2 binary64)))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (*.f64 x y)))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 x y)))
(*.f64 (sqrt.f64 x) (sqrt.f64 y))
(*.f64 (sqrt.f64 (*.f64 x y)) #s(literal 1 binary64))
(*.f64 (sqrt.f64 y) (sqrt.f64 x))
(*.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 (cbrt.f64 x) (*.f64 (cbrt.f64 (sqrt.f64 x)) (sqrt.f64 y)))
(*.f64 (pow.f64 x #s(literal 1/4 binary64)) (sqrt.f64 (*.f64 (sqrt.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 (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))
(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))))
(log.f64 (pow.f64 (exp.f64 (sqrt.f64 x)) y))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (sqrt.f64 x) y))))
(cbrt.f64 (pow.f64 (*.f64 (sqrt.f64 x) y) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 (*.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 (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)))

simplify193.0ms (3.2%)

Algorithm
1×egg-herbie
Rules
518×fma-neg
348×cancel-sign-sub-inv
274×distribute-lft-neg-in
251×distribute-rgt-neg-in
245×sub-neg
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
058815344
1134614251
2435813988
Stop Event
1×node limit
Counts
412 → 336
Calls
Call 1
Inputs
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) y)))
(+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) y))) (/.f64 x (pow.f64 (+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) y)) #s(literal 2 binary64))))
(+.f64 (*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) y)) #s(literal 2 binary64))) (/.f64 x (pow.f64 (+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) y)) #s(literal 3 binary64))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) y))))
(+.f64 (*.f64 x (+.f64 (*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) y)) #s(literal 3 binary64))) (/.f64 x (pow.f64 (+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) y)) #s(literal 4 binary64))))) (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) y)) #s(literal 2 binary64))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) y))))
(/.f64 #s(literal 1 binary64) (*.f64 x (-.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y) #s(literal 1 binary64))))
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 x (pow.f64 (-.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y) #s(literal 1 binary64)) #s(literal 2 binary64))))) x)
(/.f64 (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (-.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y) #s(literal 1 binary64)) #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y) #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (*.f64 x (pow.f64 (-.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y) #s(literal 1 binary64)) #s(literal 2 binary64))))) x)
(/.f64 (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (-.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y) #s(literal 1 binary64)) #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y) #s(literal 1 binary64)))) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (pow.f64 (-.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y) #s(literal 1 binary64)) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (-.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y) #s(literal 1 binary64)) #s(literal 4 binary64)))))) x)
(/.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))))
(*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (pow.f64 (+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))))) x))
(*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (pow.f64 (+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))) #s(literal 2 binary64)))) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))) #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))))) x))
(*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (pow.f64 (+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))) #s(literal 4 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))) #s(literal 3 binary64)))) x)) (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))) #s(literal 2 binary64)))) x)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))))) x))
(/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x))
(+.f64 (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 x) (/.f64 y (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x)))
(+.f64 (*.f64 y (-.f64 (/.f64 (*.f64 x y) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 3 binary64))) (*.f64 (sqrt.f64 x) (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x)))
(+.f64 (*.f64 y (-.f64 (*.f64 y (-.f64 (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 (pow.f64 x #s(literal 3 binary64))) (/.f64 y (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 4 binary64))))) (*.f64 #s(literal -1 binary64) (/.f64 x (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 3 binary64)))))) (*.f64 (sqrt.f64 x) (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x)))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) y))
(/.f64 (-.f64 (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) y)) (/.f64 #s(literal 1 binary64) (*.f64 x y))) y)
(/.f64 (-.f64 (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))) (pow.f64 y #s(literal 2 binary64))))) (/.f64 #s(literal 1 binary64) y))) (/.f64 #s(literal 1 binary64) (*.f64 x y))) y)
(/.f64 (-.f64 (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (+.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 (*.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))) (*.f64 x (pow.f64 y #s(literal 3 binary64)))))) (+.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))) (pow.f64 y #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (*.f64 x y)))) y)
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) y))
(*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) y))) y))
(*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))) y)))) (/.f64 #s(literal 1 binary64) x)) y))) y))
(*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))) (*.f64 x y))) (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)))))) y))) (/.f64 #s(literal 1 binary64) x)) y))) y))
(+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) y))
(+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 (sqrt.f64 x) y)))
(+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 (sqrt.f64 x) y)))
(+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 (sqrt.f64 x) y)))
(*.f64 x (-.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y) #s(literal 1 binary64)))
(*.f64 x (-.f64 (+.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y) (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)))
(*.f64 x (-.f64 (+.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y) (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)))
(*.f64 x (-.f64 (+.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y) (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)))
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))))
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))) (/.f64 #s(literal 1 binary64) x))))
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))) (/.f64 #s(literal 1 binary64) x))))
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))) (/.f64 #s(literal 1 binary64) x))))
(-.f64 #s(literal 1 binary64) x)
(-.f64 (+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) y)) x)
(-.f64 (+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) y)) x)
(-.f64 (+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) y)) x)
(*.f64 (sqrt.f64 x) y)
(*.f64 y (-.f64 (+.f64 (sqrt.f64 x) (/.f64 #s(literal 1 binary64) y)) (/.f64 x y)))
(*.f64 y (-.f64 (+.f64 (sqrt.f64 x) (/.f64 #s(literal 1 binary64) y)) (/.f64 x y)))
(*.f64 y (-.f64 (+.f64 (sqrt.f64 x) (/.f64 #s(literal 1 binary64) y)) (/.f64 x y)))
(*.f64 (sqrt.f64 x) y)
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 x)) (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) y)))))
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 x)) (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) y)))))
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 x)) (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) y)))))
(+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) y))
(+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 (sqrt.f64 x) y)))
(+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 (sqrt.f64 x) y)))
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(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 y (pow.f64 x #s(literal -1/2 binary64))))))
(cbrt.f64 (pow.f64 (*.f64 y (pow.f64 x #s(literal -1/2 binary64))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 y (pow.f64 x #s(literal -1/2 binary64)))))
(log1p.f64 (expm1.f64 (*.f64 y (pow.f64 x #s(literal -1/2 binary64)))))
(exp.f64 (log.f64 (*.f64 y (pow.f64 x #s(literal -1/2 binary64)))))
(exp.f64 (*.f64 (log.f64 (*.f64 y (pow.f64 x #s(literal -1/2 binary64)))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (*.f64 x y)))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 x y)))
(*.f64 (sqrt.f64 x) (sqrt.f64 y))
(*.f64 (sqrt.f64 (*.f64 x y)) #s(literal 1 binary64))
(*.f64 (sqrt.f64 y) (sqrt.f64 x))
(*.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 (cbrt.f64 x) (*.f64 (cbrt.f64 (sqrt.f64 x)) (sqrt.f64 y)))
(*.f64 (pow.f64 x #s(literal 1/4 binary64)) (sqrt.f64 (*.f64 (sqrt.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 (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))
(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))))
(log.f64 (pow.f64 (exp.f64 (sqrt.f64 x)) y))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (sqrt.f64 x) y))))
(cbrt.f64 (pow.f64 (*.f64 (sqrt.f64 x) y) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 (*.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 (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)))
Outputs
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) y)))
(/.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64)))
(+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) y))) (/.f64 x (pow.f64 (+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) y)) #s(literal 2 binary64))))
(+.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64))) (/.f64 x (pow.f64 (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64)) #s(literal 2 binary64))))
(+.f64 (*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) y)) #s(literal 2 binary64))) (/.f64 x (pow.f64 (+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) y)) #s(literal 3 binary64))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) y))))
(fma.f64 x (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64)) #s(literal 2 binary64))) (/.f64 x (pow.f64 (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64)) #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64))))
(+.f64 (*.f64 x (+.f64 (*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) y)) #s(literal 3 binary64))) (/.f64 x (pow.f64 (+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) y)) #s(literal 4 binary64))))) (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) y)) #s(literal 2 binary64))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) y))))
(fma.f64 x (fma.f64 x (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64)) #s(literal 3 binary64))) (/.f64 x (pow.f64 (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64)) #s(literal 4 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64)) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (*.f64 x (-.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y) #s(literal 1 binary64))))
(/.f64 (/.f64 #s(literal 1 binary64) x) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y #s(literal -1 binary64)))
(/.f64 (/.f64 #s(literal 1 binary64) x) (fma.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64)))
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 x (pow.f64 (-.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y) #s(literal 1 binary64)) #s(literal 2 binary64))))) x)
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y #s(literal -1 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) x) (pow.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y #s(literal -1 binary64)) #s(literal 2 binary64)))) x)
(/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64))) (/.f64 (/.f64 #s(literal -1 binary64) x) (pow.f64 (fma.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64)) #s(literal 2 binary64)))) x)
(/.f64 (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (-.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y) #s(literal 1 binary64)) #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y) #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (*.f64 x (pow.f64 (-.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y) #s(literal 1 binary64)) #s(literal 2 binary64))))) x)
(/.f64 (+.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) (pow.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y #s(literal -1 binary64)) #s(literal 3 binary64))) (-.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y #s(literal -1 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) x) (pow.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y #s(literal -1 binary64)) #s(literal 2 binary64))))) x)
(/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64))) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (fma.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64)) #s(literal 3 binary64)))) (/.f64 (/.f64 #s(literal -1 binary64) x) (pow.f64 (fma.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64)) #s(literal 2 binary64))))) x)
(/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64))) (+.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) (pow.f64 (fma.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64)) #s(literal 3 binary64))) (/.f64 (/.f64 #s(literal -1 binary64) x) (pow.f64 (fma.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64)) #s(literal 2 binary64))))) x)
(/.f64 (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (-.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y) #s(literal 1 binary64)) #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y) #s(literal 1 binary64)))) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (pow.f64 (-.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y) #s(literal 1 binary64)) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (-.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y) #s(literal 1 binary64)) #s(literal 4 binary64)))))) x)
(/.f64 (+.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) (pow.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y #s(literal -1 binary64)) #s(literal 3 binary64))) (-.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y #s(literal -1 binary64))) (+.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (pow.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y #s(literal -1 binary64)) #s(literal 2 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (pow.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y #s(literal -1 binary64)) #s(literal 4 binary64)))))) x)
(/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (fma.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64)) #s(literal 3 binary64)))) (-.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64))) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (pow.f64 (fma.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64)) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (fma.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64)) #s(literal 4 binary64))))))) x)
(/.f64 (+.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) (pow.f64 (fma.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64)) #s(literal 3 binary64))) (+.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64))) (-.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) (pow.f64 (fma.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64)) #s(literal 2 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (pow.f64 (fma.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64)) #s(literal 4 binary64)))))) x)
(/.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))))
(/.f64 (/.f64 #s(literal -1 binary64) x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))
(/.f64 #s(literal -1 binary64) (*.f64 x (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (neg.f64 y) #s(literal 1 binary64))))
(/.f64 (/.f64 #s(literal -1 binary64) x) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (neg.f64 y) #s(literal 1 binary64)))
(*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (pow.f64 (+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))))) x))
(neg.f64 (/.f64 (+.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (pow.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))) x))
(/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (pow.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (neg.f64 y) #s(literal 1 binary64)) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (neg.f64 y) #s(literal 1 binary64)))) (neg.f64 x))
(/.f64 (+.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (pow.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (neg.f64 y) #s(literal 1 binary64)) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (neg.f64 y) #s(literal 1 binary64)))) (neg.f64 x))
(*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (pow.f64 (+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))) #s(literal 2 binary64)))) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))) #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))))) x))
(neg.f64 (/.f64 (+.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (pow.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))) #s(literal 2 binary64))) (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))) (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) (pow.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))) #s(literal 3 binary64))))) x))
(/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (pow.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (neg.f64 y) #s(literal 1 binary64)) #s(literal 2 binary64)))) (+.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (neg.f64 y) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (neg.f64 y) #s(literal 1 binary64)) #s(literal 3 binary64)))))) (neg.f64 x))
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(*.f64 (cbrt.f64 y) (*.f64 (sqrt.f64 x) (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)))
(*.f64 (sqrt.f64 x) (sqrt.f64 y))
(pow.f64 (*.f64 x y) #s(literal 1/2 binary64))
(neg.f64 (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (sqrt.f64 (*.f64 x y))))
(sqrt.f64 (*.f64 x y))
(pow.f64 (sqrt.f64 (*.f64 x y)) #s(literal 1 binary64))
(neg.f64 (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (sqrt.f64 (*.f64 x y))))
(sqrt.f64 (*.f64 x y))
(pow.f64 (cbrt.f64 (sqrt.f64 (*.f64 x y))) #s(literal 3 binary64))
(neg.f64 (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (sqrt.f64 (*.f64 x y))))
(sqrt.f64 (*.f64 x y))
(pow.f64 (pow.f64 (*.f64 x y) #s(literal 3/2 binary64)) #s(literal 1/3 binary64))
(cbrt.f64 (pow.f64 (*.f64 x y) #s(literal 3/2 binary64)))
(pow.f64 (pow.f64 (*.f64 x y) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(neg.f64 (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (sqrt.f64 (*.f64 x y))))
(sqrt.f64 (*.f64 x y))
(fabs.f64 (sqrt.f64 (*.f64 x y)))
(neg.f64 (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (sqrt.f64 (*.f64 x y))))
(sqrt.f64 (*.f64 x y))
(log.f64 (exp.f64 (sqrt.f64 (*.f64 x y))))
(neg.f64 (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (sqrt.f64 (*.f64 x y))))
(sqrt.f64 (*.f64 x y))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (sqrt.f64 (*.f64 x y)))))
(neg.f64 (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (sqrt.f64 (*.f64 x y))))
(sqrt.f64 (*.f64 x y))
(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))))
(cbrt.f64 (*.f64 (pow.f64 y #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3/2 binary64))))
(expm1.f64 (log1p.f64 (sqrt.f64 (*.f64 x y))))
(log1p.f64 (expm1.f64 (sqrt.f64 (*.f64 x y))))
(neg.f64 (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (sqrt.f64 (*.f64 x y))))
(sqrt.f64 (*.f64 x y))
(exp.f64 (log.f64 (sqrt.f64 (*.f64 x y))))
(neg.f64 (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (sqrt.f64 (*.f64 x y))))
(sqrt.f64 (*.f64 x y))
(exp.f64 (*.f64 (log.f64 (*.f64 x y)) #s(literal 1/2 binary64)))
(neg.f64 (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (sqrt.f64 (*.f64 x y))))
(sqrt.f64 (*.f64 x y))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 x y))) #s(literal 1 binary64)))
(neg.f64 (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (sqrt.f64 (*.f64 x y))))
(sqrt.f64 (*.f64 x y))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (sqrt.f64 x) y))) #s(literal 1 binary64))
(expm1.f64 (log1p.f64 (*.f64 (sqrt.f64 x) y)))
(+.f64 (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (*.f64 (sqrt.f64 x) y) #s(literal 1 binary64))
(*.f64 (sqrt.f64 x) y)
(pow.f64 (cbrt.f64 (*.f64 (sqrt.f64 x) y)) #s(literal 3 binary64))
(*.f64 (sqrt.f64 x) y)
(pow.f64 (pow.f64 (*.f64 (sqrt.f64 x) y) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(*.f64 (sqrt.f64 x) y)
(pow.f64 (sqrt.f64 (*.f64 (sqrt.f64 x) y)) #s(literal 2 binary64))
(*.f64 (sqrt.f64 x) y)
(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))))
(sqrt.f64 (*.f64 x (pow.f64 y #s(literal 2 binary64))))
(log.f64 (pow.f64 (exp.f64 (sqrt.f64 x)) y))
(*.f64 (sqrt.f64 x) y)
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (sqrt.f64 x) y))))
(*.f64 (sqrt.f64 x) y)
(cbrt.f64 (pow.f64 (*.f64 (sqrt.f64 x) y) #s(literal 3 binary64)))
(*.f64 (sqrt.f64 x) y)
(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 (sqrt.f64 x) y)))
(+.f64 (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64)) #s(literal -1 binary64))
(log1p.f64 (expm1.f64 (*.f64 (sqrt.f64 x) y)))
(*.f64 (sqrt.f64 x) y)
(exp.f64 (log.f64 (*.f64 (sqrt.f64 x) y)))
(*.f64 (sqrt.f64 x) y)
(exp.f64 (*.f64 (log.f64 (*.f64 (sqrt.f64 x) y)) #s(literal 1 binary64)))
(*.f64 (sqrt.f64 x) y)

eval85.0ms (1.4%)

Compiler

Compiled 6137 to 3973 computations (35.3% saved)

prune63.0ms (1%)

Pruning

13 alts after pruning (7 fresh and 6 done)

PrunedKeptTotal
New3324336
Fresh134
Picked145
Done022
Total33413347
Accuracy
100.0%
Counts
347 → 13
Alt Table
Click to see full alt table
StatusAccuracyProgram
39.4%
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y))
62.3%
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x)))
72.6%
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) y))))
✓65.3%
(-.f64 (*.f64 (sqrt.f64 x) y) x)
✓62.4%
(-.f64 #s(literal 1 binary64) x)
✓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)))
✓53.3%
(+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 (sqrt.f64 (*.f64 x y)) (sqrt.f64 y)))
72.6%
(+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) y))
39.4%
(*.f64 (sqrt.f64 x) y)
88.7%
(*.f64 y (+.f64 (sqrt.f64 x) (/.f64 (-.f64 #s(literal 1 binary64) x) y)))
59.1%
(*.f64 x (-.f64 (/.f64 y (sqrt.f64 x)) #s(literal 1 binary64)))
✓59.0%
(*.f64 x (-.f64 (*.f64 (pow.f64 x #s(literal -1/2 binary64)) y) #s(literal 1 binary64)))
✓28.0%
(neg.f64 x)
Compiler

Compiled 351 to 228 computations (35% saved)

regimes22.0ms (0.4%)

Counts
23 → 1
Calls
Call 1
Inputs
(neg.f64 x)
(-.f64 #s(literal 1 binary64) x)
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x)))
(*.f64 (sqrt.f64 x) y)
(+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) y))
(-.f64 (*.f64 (sqrt.f64 x) y) x)
(*.f64 x (-.f64 (/.f64 y (sqrt.f64 x)) #s(literal 1 binary64)))
(+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (sqrt.f64 x)))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y))
(*.f64 x (-.f64 (*.f64 (pow.f64 x #s(literal -1/2 binary64)) y) #s(literal 1 binary64)))
(*.f64 x (-.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y) #s(literal 1 binary64)))
(*.f64 y (+.f64 (sqrt.f64 x) (/.f64 (-.f64 #s(literal 1 binary64) x) y)))
(+.f64 (-.f64 #s(literal 1 binary64) x) (sqrt.f64 (*.f64 x (*.f64 y y))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) y))))
(+.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 (*.f64 x y)) (sqrt.f64 y)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 x) y (-.f64 #s(literal 1 binary64) x))))
(+.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) (pow.f64 (cbrt.f64 (*.f64 y (sqrt.f64 x))) #s(literal 3 binary64)))
(+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 (cbrt.f64 x) (*.f64 (cbrt.f64 (sqrt.f64 x)) y)))
(/.f64 (-.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) (*.f64 x (pow.f64 y #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (+.f64 x (*.f64 (sqrt.f64 x) y))))
(+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 (pow.f64 x #s(literal 1/4 binary64)) (*.f64 (*.f64 (cbrt.f64 (pow.f64 x #s(literal 1/4 binary64))) (cbrt.f64 (sqrt.f64 x))) y)))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 y (sqrt.f64 x) (-.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64)) (cbrt.f64 (fma.f64 y (sqrt.f64 x) (-.f64 #s(literal 1 binary64) x))))
Outputs
(+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (sqrt.f64 x)))
Calls

3 calls:

7.0ms
x
7.0ms
(+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (sqrt.f64 x)))
6.0ms
y
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)

regimes266.0ms (4.3%)

Counts
7 → 2
Calls
Call 1
Inputs
(neg.f64 x)
(-.f64 #s(literal 1 binary64) x)
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x)))
(*.f64 (sqrt.f64 x) y)
(+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) y))
(-.f64 (*.f64 (sqrt.f64 x) y) x)
(*.f64 x (-.f64 (/.f64 y (sqrt.f64 x)) #s(literal 1 binary64)))
Outputs
(+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) y))
(*.f64 x (-.f64 (/.f64 y (sqrt.f64 x)) #s(literal 1 binary64)))
Calls

2 calls:

261.0ms
y
5.0ms
x
Results
AccuracySegmentsBranch
99.0%2x
97.4%3y
Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes5.0ms (0.1%)

Counts
6 → 2
Calls
Call 1
Inputs
(neg.f64 x)
(-.f64 #s(literal 1 binary64) x)
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x)))
(*.f64 (sqrt.f64 x) y)
(+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) y))
(-.f64 (*.f64 (sqrt.f64 x) y) x)
Outputs
(+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) y))
(-.f64 (*.f64 (sqrt.f64 x) y) x)
Calls

1 calls:

4.0ms
x
Results
AccuracySegmentsBranch
99.0%2x
Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes26.0ms (0.4%)

Counts
5 → 3
Calls
Call 1
Inputs
(neg.f64 x)
(-.f64 #s(literal 1 binary64) x)
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x)))
(*.f64 (sqrt.f64 x) y)
(+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) y))
Outputs
(+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) y))
(-.f64 #s(literal 1 binary64) x)
(+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) y))
Calls

2 calls:

19.0ms
x
6.0ms
y
Results
AccuracySegmentsBranch
97.4%3y
85.5%4x
Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes5.0ms (0.1%)

Counts
4 → 3
Calls
Call 1
Inputs
(neg.f64 x)
(-.f64 #s(literal 1 binary64) x)
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x)))
(*.f64 (sqrt.f64 x) y)
Outputs
(*.f64 (sqrt.f64 x) y)
(-.f64 #s(literal 1 binary64) x)
(*.f64 (sqrt.f64 x) y)
Calls

1 calls:

4.0ms
y
Results
AccuracySegmentsBranch
93.8%3y
Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes4.0ms (0.1%)

Counts
3 → 1
Calls
Call 1
Inputs
(neg.f64 x)
(-.f64 #s(literal 1 binary64) x)
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x)))
Outputs
(-.f64 #s(literal 1 binary64) x)
Calls

2 calls:

2.0ms
x
2.0ms
y
Results
AccuracySegmentsBranch
62.4%1x
62.4%1y
Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes2.0ms (0%)

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

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

2 calls:

0.0ms
x
0.0ms
y
Results
AccuracySegmentsBranch
28.0%1y
28.0%1x
Compiler

Compiled 6 to 4 computations (33.3% saved)

bsearch9.0ms (0.2%)

Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
8.0ms
27.04189332476788
332.5469195952214
Results
5.0ms96×0valid
Compiler

Compiled 135 to 101 computations (25.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 3.0ms
ival-sub: 1.0ms (36.1% of total)
ival-mult: 1.0ms (36.1% of total)
ival-sqrt: 1.0ms (36.1% of total)
ival-add: 0.0ms (0% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

bsearch9.0ms (0.2%)

Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
8.0ms
332.5469195952214
1934.3990085553116
Results
5.0ms96×0valid
Compiler

Compiled 123 to 89 computations (27.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 3.0ms
ival-sub: 1.0ms (36.9% of total)
ival-mult: 1.0ms (36.9% of total)
ival-sqrt: 1.0ms (36.9% of total)
ival-add: 0.0ms (0% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

bsearch23.0ms (0.4%)

Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
4.0ms
3.4380721924691754e+47
4.751733471927334e+47
17.0ms
-313327405187591700.0
-1.4219714427577098e-7
Results
12.0ms224×0valid
Compiler

Compiled 225 to 179 computations (20.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 6.0ms
ival-mult: 2.0ms (31.5% of total)
ival-sqrt: 2.0ms (31.5% of total)
ival-sub: 1.0ms (15.8% of total)
ival-add: 1.0ms (15.8% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

bsearch39.0ms (0.6%)

Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
26.0ms
1.0390079612344493e+87
9.453785043393367e+95
11.0ms
-5.0080506279158254e+36
-3.8998957783736293e+33
Results
28.0ms272×0valid
Compiler

Compiled 236 to 181 computations (23.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 21.0ms
ival-add: 14.0ms (67.1% of total)
ival-sub: 2.0ms (9.6% of total)
ival-mult: 2.0ms (9.6% of total)
ival-sqrt: 2.0ms (9.6% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

simplify7.0ms (0.1%)

Algorithm
1×egg-herbie
Rules
8×unsub-neg
7×+-commutative
5×sub-neg
5×*-commutative
5×neg-mul-1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
041300
166300
273300
379300
486300
599300
Stop Event
1×saturated
Calls
Call 1
Inputs
(+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (sqrt.f64 x)))
(if (<=.f64 x #s(literal 55/2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) y)) (*.f64 x (-.f64 (/.f64 y (sqrt.f64 x)) #s(literal 1 binary64))))
(if (<=.f64 x #s(literal 340 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) y)) (-.f64 (*.f64 (sqrt.f64 x) y) x))
(if (<=.f64 y #s(literal -9000000000000000 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) y)) (if (<=.f64 y #s(literal 360000000000000007671539654766762878089356640256 binary64)) (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) y))))
(if (<=.f64 y #s(literal -4999999999999999769381329101060571136 binary64)) (*.f64 (sqrt.f64 x) y) (if (<=.f64 y #s(literal 279999999999999981569294588664564246484568902129892339797591335243401265939842433974009856 binary64)) (-.f64 #s(literal 1 binary64) x) (*.f64 (sqrt.f64 x) y)))
(-.f64 #s(literal 1 binary64) x)
(neg.f64 x)
Outputs
(+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (sqrt.f64 x)))
(if (<=.f64 x #s(literal 55/2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) y)) (*.f64 x (-.f64 (/.f64 y (sqrt.f64 x)) #s(literal 1 binary64))))
(if (<=.f64 x #s(literal 55/2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 y (sqrt.f64 x))) (*.f64 x (-.f64 (/.f64 y (sqrt.f64 x)) #s(literal 1 binary64))))
(if (<=.f64 x #s(literal 55/2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 y (sqrt.f64 x))) (*.f64 x (+.f64 (/.f64 y (sqrt.f64 x)) #s(literal -1 binary64))))
(if (<=.f64 x #s(literal 340 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) y)) (-.f64 (*.f64 (sqrt.f64 x) y) x))
(if (<=.f64 x #s(literal 340 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 y (sqrt.f64 x))) (-.f64 (*.f64 y (sqrt.f64 x)) x))
(if (<=.f64 y #s(literal -9000000000000000 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) y)) (if (<=.f64 y #s(literal 360000000000000007671539654766762878089356640256 binary64)) (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) y))))
(if (or (<=.f64 y #s(literal -9000000000000000 binary64)) (not (<=.f64 y #s(literal 360000000000000007671539654766762878089356640256 binary64)))) (+.f64 #s(literal 1 binary64) (*.f64 y (sqrt.f64 x))) (-.f64 #s(literal 1 binary64) x))
(if (<=.f64 y #s(literal -4999999999999999769381329101060571136 binary64)) (*.f64 (sqrt.f64 x) y) (if (<=.f64 y #s(literal 279999999999999981569294588664564246484568902129892339797591335243401265939842433974009856 binary64)) (-.f64 #s(literal 1 binary64) x) (*.f64 (sqrt.f64 x) y)))
(if (or (<=.f64 y #s(literal -4999999999999999769381329101060571136 binary64)) (not (<=.f64 y #s(literal 279999999999999981569294588664564246484568902129892339797591335243401265939842433974009856 binary64)))) (*.f64 y (sqrt.f64 x)) (-.f64 #s(literal 1 binary64) x))
(-.f64 #s(literal 1 binary64) x)
(neg.f64 x)

soundness1.2s (19.7%)

Rules
1001×log1p-expm1-u
1001×expm1-log1p-u
809×fma-neg
577×fma-define
497×associate-*r*
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
020134
1257112
23155112
083225370
1207624135
2792124116
033337
1564252
01017
18517
290017
Stop Event
1×fuel
1×node limit
1×node limit
1×node limit
1×node limit
Compiler

Compiled 521 to 287 computations (44.9% saved)

preprocess112.0ms (1.8%)

Compiler

Compiled 186 to 104 computations (44.1% saved)

end0.0ms (0%)

Profiling

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