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

Time bar (total: 7.3s)

analyze12.0ms (0.2%)

Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%99.9%0.1%0%0%0%0
0%0%99.9%0.1%0%0%0%1
50%50%50%0.1%0%0%0%2
50%50%50%0.1%0%0%0%3
66.7%50%25%0.1%0%25%0%4
66.7%50%25%0.1%0%25%0%5
80%50%12.5%0.1%0%37.5%0%6
80%50%12.5%0.1%0%37.5%0%7
88.9%50%6.2%0.1%0%43.7%0%8
88.9%50%6.2%0.1%0%43.7%0%9
94.1%50%3.1%0.1%0%46.8%0%10
94.1%50%3.1%0.1%0%46.8%0%11
97%50%1.6%0.1%0%48.4%0%12
Compiler

Compiled 11 to 8 computations (27.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 4.0ms
ival-sub: 1.0ms (25% of total)
ival-add: 1.0ms (25% of total)
ival-mult: 1.0ms (25% of total)
ival-sqrt: 1.0ms (25% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

sample895.0ms (12.2%)

Results
686.0ms8253×0valid
13.0ms247×0invalid
0.0ms2valid
0.0ms1valid
Precisions
Click to see histograms. Total time spent on operations: 478.0ms
ival-sub: 272.0ms (56.9% of total)
ival-mult: 79.0ms (16.5% of total)
ival-sqrt: 73.0ms (15.3% of total)
ival-add: 42.0ms (8.8% of total)
const: 11.0ms (2.3% of total)
backward-pass: 2.0ms (0.4% of total)
Bogosity

preprocess104.0ms (1.4%)

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

Useful iterations: 3 (0.0ms)

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

explain86.0ms (1.2%)

FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
00-0-(+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (sqrt.f64 x)))
00-0-(sqrt.f64 x)
00-0-y
00-0-(-.f64 #s(literal 1 binary64) x)
00-0-#s(literal 1 binary64)
00-0-(*.f64 y (sqrt.f64 x))
00-0-x
Confusion
Predicted +Predicted -
+00
-0256
Precision
0/0
Recall
0/0
Confusion?
Predicted +Predicted MaybePredicted -
+000
-00256
Precision?
0/0
Recall?
0/0
Freqs
test
numberfreq
0256
Total Confusion?
Predicted +Predicted MaybePredicted -
+000
-001
Precision?
0/0
Recall?
0/0
Results
36.0ms512×0valid
Compiler

Compiled 66 to 30 computations (54.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 15.0ms
ival-mult: 4.0ms (26.7% of total)
ival-sqrt: 4.0ms (26.7% of total)
ival-sub: 3.0ms (20% of total)
ival-add: 2.0ms (13.4% of total)
const: 1.0ms (6.7% of total)
backward-pass: 0.0ms (0% 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
99.9%
(+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (sqrt.f64 x)))
Compiler

Compiled 10 to 7 computations (30% saved)

simplify32.0ms (0.4%)

Algorithm
egg-herbie
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
cost-diff-6272
(+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (sqrt.f64 x)))
cost-diff0
(sqrt.f64 x)
cost-diff0
(*.f64 y (sqrt.f64 x))
cost-diff0
(-.f64 #s(literal 1 binary64) x)
Rules
151×fma-define
131×fma-neg
39×sub-neg
29×associate--r+
28×unsub-neg
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01376
12472
24672
37772
415572
531872
651372
763872
871772
973172
Stop Event
saturated
Calls
Call 1
Inputs
(+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (sqrt.f64 x)))
(-.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
x
(*.f64 y (sqrt.f64 x))
y
(sqrt.f64 x)
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 #s(literal 1 binary64) x)
#s(literal 1 binary64)
x
(*.f64 y (sqrt.f64 x))
y
(sqrt.f64 x)

localize34.0ms (0.5%)

Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(-.f64 #s(literal 1 binary64) x)
accuracy100.0%
(sqrt.f64 x)
accuracy100.0%
(+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (sqrt.f64 x)))
accuracy99.6%
(*.f64 y (sqrt.f64 x))
Results
25.0ms256×0valid
Compiler

Compiled 23 to 8 computations (65.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 7.0ms
ival-sub: 2.0ms (26.9% of total)
ival-mult: 2.0ms (26.9% of total)
ival-sqrt: 2.0ms (26.9% of total)
ival-add: 1.0ms (13.4% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

series9.0ms (0.1%)

Counts
4 → 64
Calls
Call 1
Inputs
#<alt (-.f64 #s(literal 1 binary64) x)>
#<alt (*.f64 y (sqrt.f64 x))>
#<alt (sqrt.f64 x)>
#<alt (+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (sqrt.f64 x)))>
Outputs
#<alt #s(literal 1 binary64)>
#<alt (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) x))>
#<alt (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) x))>
#<alt (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) x))>
#<alt (*.f64 #s(literal -1 binary64) x)>
#<alt (*.f64 x (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)))>
#<alt (*.f64 x (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)))>
#<alt (*.f64 x (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)))>
#<alt (*.f64 #s(literal -1 binary64) x)>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))))>
#<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)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 x) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 x) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 x) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 x) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))>
#<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)))))>
Calls

18 calls:

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

rewrite385.0ms (5.3%)

Algorithm
batch-egg-rewrite
Rules
775×log1p-expm1-u
775×expm1-log1p-u
665×unpow-prod-down
426×fma-define
353×log-prod
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01367
115563
2209463
Stop Event
node limit
Counts
4 → 216
Calls
Call 1
Inputs
(-.f64 #s(literal 1 binary64) x)
(*.f64 y (sqrt.f64 x))
(sqrt.f64 x)
(+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (sqrt.f64 x)))
Outputs
(+.f64 #s(literal 1 binary64) (neg.f64 x))
(+.f64 #s(literal 0 binary64) (-.f64 #s(literal 1 binary64) x))
(+.f64 (neg.f64 x) #s(literal 1 binary64))
(+.f64 (log.f64 (exp.f64 #s(literal 1 binary64))) (neg.f64 x))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (-.f64 #s(literal 1 binary64) x))) (cbrt.f64 (exp.f64 (-.f64 #s(literal 1 binary64) x))))) (log.f64 (cbrt.f64 (exp.f64 (-.f64 #s(literal 1 binary64) x)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (-.f64 #s(literal 1 binary64) x)))) (log.f64 (sqrt.f64 (exp.f64 (-.f64 #s(literal 1 binary64) x)))))
(*.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x))
(*.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))
(*.f64 (-.f64 #s(literal 1 binary64) x) (log.f64 (exp.f64 #s(literal 1 binary64))))
(*.f64 (cbrt.f64 (-.f64 #s(literal 1 binary64) x)) (pow.f64 (cbrt.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)))
(*.f64 (cbrt.f64 (-.f64 #s(literal 1 binary64) x)) (pow.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) #s(literal 1/3 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)) (cbrt.f64 (-.f64 #s(literal 1 binary64) x)))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64)))
(*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x)))
(*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x (+.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))))
(*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (+.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))) #s(literal 1 binary64)))
(*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)))
(*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/3 binary64)) (-.f64 #s(literal 1 binary64) x))
(*.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal 3 binary64)) (pow.f64 (cbrt.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal 3 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal 3 binary64)) (pow.f64 (sqrt.f64 (cbrt.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal 3 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 (cbrt.f64 (cbrt.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal 3 binary64)))
(*.f64 (pow.f64 (*.f64 (cbrt.f64 (cbrt.f64 (-.f64 #s(literal 1 binary64) x))) (cbrt.f64 (cbrt.f64 (-.f64 #s(literal 1 binary64) x)))) #s(literal 3 binary64)) (pow.f64 (cbrt.f64 (cbrt.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal 3 binary64)))
(*.f64 (pow.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (-.f64 #s(literal 1 binary64) x)))
(*.f64 (pow.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 3/2 binary64)) #s(literal 1/3 binary64)) (pow.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 3/2 binary64)) #s(literal 1/3 binary64)))
(*.f64 (pow.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (sqrt.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal 1/3 binary64)) (pow.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (sqrt.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal 1/3 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 3 binary64))) #s(literal 1/3 binary64)) (pow.f64 (sqrt.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 3 binary64))) #s(literal 1/3 binary64)))
(*.f64 (pow.f64 (*.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))) #s(literal 1/3 binary64)) (pow.f64 (cbrt.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 1/3 binary64)))
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(/.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 #s(literal 1 binary64) x) (*.f64 y (sqrt.f64 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 (-.f64 (fma.f64 y (sqrt.f64 x) #s(literal 1 binary64)) x) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (-.f64 (fma.f64 y (sqrt.f64 x) #s(literal 1 binary64)) x)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (-.f64 (fma.f64 y (sqrt.f64 x) #s(literal 1 binary64)) x) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (-.f64 (fma.f64 y (sqrt.f64 x) #s(literal 1 binary64)) x)) #s(literal 2 binary64))
(pow.f64 (/.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)))) #s(literal -1 binary64))
(pow.f64 (/.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))))) #s(literal -1 binary64))
(sqrt.f64 (pow.f64 (-.f64 (fma.f64 y (sqrt.f64 x) #s(literal 1 binary64)) x) #s(literal 2 binary64)))
(log.f64 (exp.f64 (-.f64 (fma.f64 y (sqrt.f64 x) #s(literal 1 binary64)) x)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (-.f64 (fma.f64 y (sqrt.f64 x) #s(literal 1 binary64)) x))))
(log.f64 (*.f64 (exp.f64 (-.f64 #s(literal 1 binary64) x)) (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 y (sqrt.f64 x))))))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (-.f64 #s(literal 1 binary64) x))) (pow.f64 (exp.f64 y) (sqrt.f64 x))))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (-.f64 #s(literal 1 binary64) x))) (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 y (sqrt.f64 x))))))
(log.f64 (*.f64 (pow.f64 (exp.f64 y) (sqrt.f64 x)) (+.f64 #s(literal 1 binary64) (expm1.f64 (-.f64 #s(literal 1 binary64) x)))))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 y (sqrt.f64 x)))) (exp.f64 (-.f64 #s(literal 1 binary64) x))))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 y (sqrt.f64 x)))) (+.f64 #s(literal 1 binary64) (expm1.f64 (-.f64 #s(literal 1 binary64) x)))))
(cbrt.f64 (pow.f64 (-.f64 (fma.f64 y (sqrt.f64 x) #s(literal 1 binary64)) x) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (-.f64 (fma.f64 y (sqrt.f64 x) #s(literal 1 binary64)) x)))
(log1p.f64 (expm1.f64 (-.f64 (fma.f64 y (sqrt.f64 x) #s(literal 1 binary64)) x)))
(exp.f64 (log.f64 (-.f64 (fma.f64 y (sqrt.f64 x) #s(literal 1 binary64)) x)))
(exp.f64 (*.f64 (log.f64 (-.f64 (fma.f64 y (sqrt.f64 x) #s(literal 1 binary64)) x)) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (-.f64 (fma.f64 y (sqrt.f64 x) #s(literal 1 binary64)) x))) #s(literal 3 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 3 binary64) (log.f64 (-.f64 (fma.f64 y (sqrt.f64 x) #s(literal 1 binary64)) x))) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (-.f64 (fma.f64 y (sqrt.f64 x) #s(literal 1 binary64)) x))) #s(literal 2 binary64)))
(fma.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x) (*.f64 y (sqrt.f64 x)))
(fma.f64 #s(literal 1 binary64) (*.f64 y (sqrt.f64 x)) (-.f64 #s(literal 1 binary64) x))
(fma.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1 binary64) (*.f64 y (sqrt.f64 x)))
(fma.f64 y (sqrt.f64 x) (-.f64 #s(literal 1 binary64) x))
(fma.f64 (sqrt.f64 x) y (-.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 (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 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 x (pow.f64 y #s(literal 2 binary64)))) (cbrt.f64 (*.f64 y (sqrt.f64 x))) (-.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 x) (*.f64 (pow.f64 x #s(literal 1/6 binary64)) 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 #s(literal 1 binary64) x)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) (*.f64 y (sqrt.f64 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 (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 #s(literal 1 binary64) x) #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 #s(literal 1 binary64) x)) (*.f64 y (sqrt.f64 x)))
(fma.f64 (*.f64 y (cbrt.f64 x)) (pow.f64 x #s(literal 1/6 binary64)) (-.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))

simplify127.0ms (1.7%)

Algorithm
egg-herbie
Rules
465×times-frac
433×fma-neg
333×cancel-sign-sub-inv
296×unswap-sqr
264×associate-*r*
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
05559289
111598209
236218030
Stop Event
node limit
Counts
280 → 306
Calls
Call 1
Inputs
#s(literal 1 binary64)
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) x))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) x))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) x))
(*.f64 #s(literal -1 binary64) x)
(*.f64 x (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)))
(*.f64 x (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)))
(*.f64 x (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)))
(*.f64 #s(literal -1 binary64) x)
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))))
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))))
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))))
(*.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 -1 binary64) (*.f64 (sqrt.f64 x) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 x) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 x) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 x) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))
(+.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) (neg.f64 x))
(+.f64 #s(literal 0 binary64) (-.f64 #s(literal 1 binary64) x))
(+.f64 (neg.f64 x) #s(literal 1 binary64))
(+.f64 (log.f64 (exp.f64 #s(literal 1 binary64))) (neg.f64 x))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (-.f64 #s(literal 1 binary64) x))) (cbrt.f64 (exp.f64 (-.f64 #s(literal 1 binary64) x))))) (log.f64 (cbrt.f64 (exp.f64 (-.f64 #s(literal 1 binary64) x)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (-.f64 #s(literal 1 binary64) x)))) (log.f64 (sqrt.f64 (exp.f64 (-.f64 #s(literal 1 binary64) x)))))
(*.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x))
(*.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))
(*.f64 (-.f64 #s(literal 1 binary64) x) (log.f64 (exp.f64 #s(literal 1 binary64))))
(*.f64 (cbrt.f64 (-.f64 #s(literal 1 binary64) x)) (pow.f64 (cbrt.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)))
(*.f64 (cbrt.f64 (-.f64 #s(literal 1 binary64) x)) (pow.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) #s(literal 1/3 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)) (cbrt.f64 (-.f64 #s(literal 1 binary64) x)))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64)))
(*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x)))
(*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x (+.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))))
(*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (+.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))) #s(literal 1 binary64)))
(*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)))
(*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/3 binary64)) (-.f64 #s(literal 1 binary64) x))
(*.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal 3 binary64)) (pow.f64 (cbrt.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal 3 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal 3 binary64)) (pow.f64 (sqrt.f64 (cbrt.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal 3 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 (cbrt.f64 (cbrt.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal 3 binary64)))
(*.f64 (pow.f64 (*.f64 (cbrt.f64 (cbrt.f64 (-.f64 #s(literal 1 binary64) x))) (cbrt.f64 (cbrt.f64 (-.f64 #s(literal 1 binary64) x)))) #s(literal 3 binary64)) (pow.f64 (cbrt.f64 (cbrt.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal 3 binary64)))
(*.f64 (pow.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (-.f64 #s(literal 1 binary64) x)))
(*.f64 (pow.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 3/2 binary64)) #s(literal 1/3 binary64)) (pow.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 3/2 binary64)) #s(literal 1/3 binary64)))
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(/.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 #s(literal 1 binary64) x) (*.f64 y (sqrt.f64 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 (-.f64 (fma.f64 y (sqrt.f64 x) #s(literal 1 binary64)) x) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (-.f64 (fma.f64 y (sqrt.f64 x) #s(literal 1 binary64)) x)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (-.f64 (fma.f64 y (sqrt.f64 x) #s(literal 1 binary64)) x) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (-.f64 (fma.f64 y (sqrt.f64 x) #s(literal 1 binary64)) x)) #s(literal 2 binary64))
(pow.f64 (/.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)))) #s(literal -1 binary64))
(pow.f64 (/.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))))) #s(literal -1 binary64))
(sqrt.f64 (pow.f64 (-.f64 (fma.f64 y (sqrt.f64 x) #s(literal 1 binary64)) x) #s(literal 2 binary64)))
(log.f64 (exp.f64 (-.f64 (fma.f64 y (sqrt.f64 x) #s(literal 1 binary64)) x)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (-.f64 (fma.f64 y (sqrt.f64 x) #s(literal 1 binary64)) x))))
(log.f64 (*.f64 (exp.f64 (-.f64 #s(literal 1 binary64) x)) (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 y (sqrt.f64 x))))))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (-.f64 #s(literal 1 binary64) x))) (pow.f64 (exp.f64 y) (sqrt.f64 x))))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (-.f64 #s(literal 1 binary64) x))) (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 y (sqrt.f64 x))))))
(log.f64 (*.f64 (pow.f64 (exp.f64 y) (sqrt.f64 x)) (+.f64 #s(literal 1 binary64) (expm1.f64 (-.f64 #s(literal 1 binary64) x)))))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 y (sqrt.f64 x)))) (exp.f64 (-.f64 #s(literal 1 binary64) x))))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 y (sqrt.f64 x)))) (+.f64 #s(literal 1 binary64) (expm1.f64 (-.f64 #s(literal 1 binary64) x)))))
(cbrt.f64 (pow.f64 (-.f64 (fma.f64 y (sqrt.f64 x) #s(literal 1 binary64)) x) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (-.f64 (fma.f64 y (sqrt.f64 x) #s(literal 1 binary64)) x)))
(log1p.f64 (expm1.f64 (-.f64 (fma.f64 y (sqrt.f64 x) #s(literal 1 binary64)) x)))
(exp.f64 (log.f64 (-.f64 (fma.f64 y (sqrt.f64 x) #s(literal 1 binary64)) x)))
(exp.f64 (*.f64 (log.f64 (-.f64 (fma.f64 y (sqrt.f64 x) #s(literal 1 binary64)) x)) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (-.f64 (fma.f64 y (sqrt.f64 x) #s(literal 1 binary64)) x))) #s(literal 3 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 3 binary64) (log.f64 (-.f64 (fma.f64 y (sqrt.f64 x) #s(literal 1 binary64)) x))) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (-.f64 (fma.f64 y (sqrt.f64 x) #s(literal 1 binary64)) x))) #s(literal 2 binary64)))
(fma.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x) (*.f64 y (sqrt.f64 x)))
(fma.f64 #s(literal 1 binary64) (*.f64 y (sqrt.f64 x)) (-.f64 #s(literal 1 binary64) x))
(fma.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1 binary64) (*.f64 y (sqrt.f64 x)))
(fma.f64 y (sqrt.f64 x) (-.f64 #s(literal 1 binary64) x))
(fma.f64 (sqrt.f64 x) y (-.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 (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 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 x (pow.f64 y #s(literal 2 binary64)))) (cbrt.f64 (*.f64 y (sqrt.f64 x))) (-.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 x) (*.f64 (pow.f64 x #s(literal 1/6 binary64)) 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 #s(literal 1 binary64) x)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) (*.f64 y (sqrt.f64 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 (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 #s(literal 1 binary64) x) #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 #s(literal 1 binary64) x)) (*.f64 y (sqrt.f64 x)))
(fma.f64 (*.f64 y (cbrt.f64 x)) (pow.f64 x #s(literal 1/6 binary64)) (-.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))
Outputs
#s(literal 1 binary64)
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) x))
(-.f64 #s(literal 1 binary64) x)
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) x))
(-.f64 #s(literal 1 binary64) x)
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) x))
(-.f64 #s(literal 1 binary64) x)
(*.f64 #s(literal -1 binary64) x)
(neg.f64 x)
(*.f64 x (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)))
(-.f64 #s(literal 1 binary64) x)
(*.f64 x (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)))
(-.f64 #s(literal 1 binary64) x)
(*.f64 x (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)))
(-.f64 #s(literal 1 binary64) x)
(*.f64 #s(literal -1 binary64) x)
(neg.f64 x)
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))))
(-.f64 #s(literal 1 binary64) x)
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))))
(-.f64 #s(literal 1 binary64) x)
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))))
(-.f64 #s(literal 1 binary64) x)
(*.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 -1 binary64) (*.f64 (sqrt.f64 x) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))
(*.f64 (neg.f64 (sqrt.f64 x)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))
(sqrt.f64 x)
(*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 x) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))
(*.f64 (neg.f64 (sqrt.f64 x)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))
(sqrt.f64 x)
(*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 x) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))
(*.f64 (neg.f64 (sqrt.f64 x)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))
(sqrt.f64 x)
(*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 x) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))
(*.f64 (neg.f64 (sqrt.f64 x)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))
(sqrt.f64 x)
(+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) y))
(fma.f64 y (sqrt.f64 x) #s(literal 1 binary64))
(fma.f64 (sqrt.f64 x) y #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (+.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 (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64)) x)
(+.f64 #s(literal 1 binary64) (+.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 (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64)) x)
(+.f64 #s(literal 1 binary64) (+.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 (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64)) x)
(*.f64 x (-.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y) #s(literal 1 binary64)))
(*.f64 x (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y #s(literal -1 binary64)))
(*.f64 x (fma.f64 y (sqrt.f64 (/.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 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y (/.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64)))
(*.f64 x (+.f64 #s(literal -1 binary64) (fma.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) x))))
(+.f64 (*.f64 y (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) x)) (-.f64 #s(literal 1 binary64) x))
(*.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 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y (/.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64)))
(*.f64 x (+.f64 #s(literal -1 binary64) (fma.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) x))))
(+.f64 (*.f64 y (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) x)) (-.f64 #s(literal 1 binary64) x))
(*.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 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y (/.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64)))
(*.f64 x (+.f64 #s(literal -1 binary64) (fma.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) x))))
(+.f64 (*.f64 y (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) x)) (-.f64 #s(literal 1 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 x (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y #s(literal -1 binary64)))
(*.f64 x (fma.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1 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 (neg.f64 x) (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (/.f64 #s(literal 1 binary64) x))))
(*.f64 x (neg.f64 (+.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (neg.f64 y) (/.f64 #s(literal -1 binary64) x)))))
(+.f64 (*.f64 x (fma.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64))) #s(literal 1 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 (neg.f64 x) (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (/.f64 #s(literal 1 binary64) x))))
(*.f64 x (neg.f64 (+.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (neg.f64 y) (/.f64 #s(literal -1 binary64) x)))))
(+.f64 (*.f64 x (fma.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64))) #s(literal 1 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 (neg.f64 x) (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (/.f64 #s(literal 1 binary64) x))))
(*.f64 x (neg.f64 (+.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (neg.f64 y) (/.f64 #s(literal -1 binary64) x)))))
(+.f64 (*.f64 x (fma.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64))) #s(literal 1 binary64))
(-.f64 #s(literal 1 binary64) x)
(-.f64 (+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) y)) x)
(+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 (sqrt.f64 x) y))
(-.f64 (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64)) x)
(-.f64 (+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) y)) x)
(+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 (sqrt.f64 x) y))
(-.f64 (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64)) x)
(-.f64 (+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) y)) x)
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(-.f64 (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64)) x)
(pow.f64 (pow.f64 (-.f64 (fma.f64 y (sqrt.f64 x) #s(literal 1 binary64)) x) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 (sqrt.f64 x) y))
(-.f64 (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64)) x)
(pow.f64 (sqrt.f64 (-.f64 (fma.f64 y (sqrt.f64 x) #s(literal 1 binary64)) x)) #s(literal 2 binary64))
(+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 (sqrt.f64 x) y))
(-.f64 (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64)) x)
(pow.f64 (/.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)))) #s(literal -1 binary64))
(/.f64 (*.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))) #s(literal 1 binary64)) (fma.f64 (*.f64 (sqrt.f64 x) y) (fma.f64 y (sqrt.f64 x) (neg.f64 (-.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 (*.f64 (sqrt.f64 x) y) (+.f64 #s(literal -1 binary64) (fma.f64 (sqrt.f64 x) y x)) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))))
(pow.f64 (/.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))))) #s(literal -1 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 x (*.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) (fma.f64 (sqrt.f64 x) y 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 #s(literal -1 binary64) (fma.f64 (sqrt.f64 x) y x)))
(sqrt.f64 (pow.f64 (-.f64 (fma.f64 y (sqrt.f64 x) #s(literal 1 binary64)) x) #s(literal 2 binary64)))
(+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 (sqrt.f64 x) y))
(-.f64 (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64)) x)
(log.f64 (exp.f64 (-.f64 (fma.f64 y (sqrt.f64 x) #s(literal 1 binary64)) x)))
(+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 (sqrt.f64 x) y))
(-.f64 (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64)) x)
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (-.f64 (fma.f64 y (sqrt.f64 x) #s(literal 1 binary64)) x))))
(+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 (sqrt.f64 x) y))
(-.f64 (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64)) x)
(log.f64 (*.f64 (exp.f64 (-.f64 #s(literal 1 binary64) x)) (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 y (sqrt.f64 x))))))
(+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 (sqrt.f64 x) y))
(-.f64 (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64)) x)
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (-.f64 #s(literal 1 binary64) x))) (pow.f64 (exp.f64 y) (sqrt.f64 x))))
(+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 (sqrt.f64 x) y))
(-.f64 (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64)) x)
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (-.f64 #s(literal 1 binary64) x))) (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 y (sqrt.f64 x))))))
(+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 (sqrt.f64 x) y))
(-.f64 (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64)) x)
(log.f64 (*.f64 (pow.f64 (exp.f64 y) (sqrt.f64 x)) (+.f64 #s(literal 1 binary64) (expm1.f64 (-.f64 #s(literal 1 binary64) x)))))
(+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 (sqrt.f64 x) y))
(-.f64 (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64)) x)
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 y (sqrt.f64 x)))) (exp.f64 (-.f64 #s(literal 1 binary64) x))))
(+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 (sqrt.f64 x) y))
(-.f64 (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64)) x)
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 y (sqrt.f64 x)))) (+.f64 #s(literal 1 binary64) (expm1.f64 (-.f64 #s(literal 1 binary64) x)))))
(+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 (sqrt.f64 x) y))
(-.f64 (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64)) x)
(cbrt.f64 (pow.f64 (-.f64 (fma.f64 y (sqrt.f64 x) #s(literal 1 binary64)) x) #s(literal 3 binary64)))
(+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 (sqrt.f64 x) y))
(-.f64 (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64)) x)
(expm1.f64 (log1p.f64 (-.f64 (fma.f64 y (sqrt.f64 x) #s(literal 1 binary64)) x)))
(expm1.f64 (log1p.f64 (-.f64 (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64)) x)))
(log1p.f64 (expm1.f64 (-.f64 (fma.f64 y (sqrt.f64 x) #s(literal 1 binary64)) x)))
(+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 (sqrt.f64 x) y))
(-.f64 (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64)) x)
(exp.f64 (log.f64 (-.f64 (fma.f64 y (sqrt.f64 x) #s(literal 1 binary64)) x)))
(+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 (sqrt.f64 x) y))
(-.f64 (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64)) x)
(exp.f64 (*.f64 (log.f64 (-.f64 (fma.f64 y (sqrt.f64 x) #s(literal 1 binary64)) x)) #s(literal 1 binary64)))
(+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 (sqrt.f64 x) y))
(-.f64 (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64)) x)
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (-.f64 (fma.f64 y (sqrt.f64 x) #s(literal 1 binary64)) x))) #s(literal 3 binary64)))
(+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 (sqrt.f64 x) y))
(-.f64 (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64)) x)
(exp.f64 (*.f64 (*.f64 #s(literal 3 binary64) (log.f64 (-.f64 (fma.f64 y (sqrt.f64 x) #s(literal 1 binary64)) x))) #s(literal 1/3 binary64)))
(+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 (sqrt.f64 x) y))
(-.f64 (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64)) x)
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (-.f64 (fma.f64 y (sqrt.f64 x) #s(literal 1 binary64)) x))) #s(literal 2 binary64)))
(+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 (sqrt.f64 x) y))
(-.f64 (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64)) x)
(fma.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x) (*.f64 y (sqrt.f64 x)))
(+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 (sqrt.f64 x) y))
(-.f64 (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64)) x)
(fma.f64 #s(literal 1 binary64) (*.f64 y (sqrt.f64 x)) (-.f64 #s(literal 1 binary64) x))
(+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 (sqrt.f64 x) y))
(-.f64 (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64)) x)
(fma.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1 binary64) (*.f64 y (sqrt.f64 x)))
(+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 (sqrt.f64 x) y))
(-.f64 (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64)) x)
(fma.f64 y (sqrt.f64 x) (-.f64 #s(literal 1 binary64) x))
(+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 (sqrt.f64 x) y))
(-.f64 (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64)) x)
(fma.f64 (sqrt.f64 x) y (-.f64 #s(literal 1 binary64) x))
(+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 (sqrt.f64 x) y))
(-.f64 (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64)) x)
(fma.f64 (*.f64 y (sqrt.f64 x)) #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x))
(+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 (sqrt.f64 x) y))
(-.f64 (fma.f64 (sqrt.f64 x) y #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)))
(+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 (sqrt.f64 x) y))
(-.f64 (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64)) 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)))
(+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 (sqrt.f64 x) y))
(-.f64 (fma.f64 (sqrt.f64 x) y #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 (*.f64 (sqrt.f64 x) y)) (cbrt.f64 (*.f64 x (pow.f64 y #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) 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 (*.f64 (sqrt.f64 x) y)) (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))
(+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 (sqrt.f64 x) y))
(-.f64 (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64)) x)
(fma.f64 (cbrt.f64 x) (*.f64 (pow.f64 x #s(literal 1/6 binary64)) y) (-.f64 #s(literal 1 binary64) x))
(fma.f64 (cbrt.f64 x) (*.f64 y (pow.f64 x #s(literal 1/6 binary64))) (-.f64 #s(literal 1 binary64) x))
(+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (pow.f64 (pow.f64 x #s(literal 1/6 binary64)) #s(literal 3 binary64))))
(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))
(+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 (sqrt.f64 x) y))
(-.f64 (fma.f64 (sqrt.f64 x) y #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)))
(+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 (sqrt.f64 x) y))
(-.f64 (fma.f64 (sqrt.f64 x) y #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))
(+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 (sqrt.f64 x) y))
(-.f64 (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64)) x)
(fma.f64 (sqrt.f64 y) (*.f64 (sqrt.f64 y) (sqrt.f64 x)) (-.f64 #s(literal 1 binary64) x))
(+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 (sqrt.f64 x) y))
(-.f64 (fma.f64 (sqrt.f64 x) y #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 #s(literal 1 binary64) x) #s(literal 1 binary64))) (*.f64 y (sqrt.f64 x)))
(fma.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x (+.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))) (*.f64 (sqrt.f64 x) y))
(+.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (fma.f64 x (+.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))) (*.f64 (sqrt.f64 x) y))
(fma.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)) (*.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 #s(literal 1 binary64) x)) (*.f64 (sqrt.f64 x) y))
(+.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) x)) (*.f64 (sqrt.f64 x) y))
(fma.f64 (*.f64 y (cbrt.f64 x)) (pow.f64 x #s(literal 1/6 binary64)) (-.f64 #s(literal 1 binary64) x))
(fma.f64 (cbrt.f64 x) (*.f64 y (pow.f64 x #s(literal 1/6 binary64))) (-.f64 #s(literal 1 binary64) x))
(+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (pow.f64 (pow.f64 x #s(literal 1/6 binary64)) #s(literal 3 binary64))))
(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))
(+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 (sqrt.f64 x) y))
(-.f64 (fma.f64 (sqrt.f64 x) y #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))
(+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 (sqrt.f64 x) y))
(-.f64 (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64)) x)
(fma.f64 (*.f64 (sqrt.f64 x) (sqrt.f64 y)) (sqrt.f64 y) (-.f64 #s(literal 1 binary64) x))
(+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 (sqrt.f64 x) y))
(-.f64 (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64)) x)

eval37.0ms (0.5%)

Compiler

Compiled 4851 to 957 computations (80.3% saved)

prune45.0ms (0.6%)

Pruning

13 alts after pruning (12 fresh and 1 done)

PrunedKeptTotal
New29412306
Fresh000
Picked011
Done000
Total29413307
Accuracy
100.0%
Counts
307 → 13
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.5%
(fma.f64 (*.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (cbrt.f64 y) (-.f64 #s(literal 1 binary64) x))
58.4%
(/.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))))
59.6%
(+.f64 (-.f64 #s(literal 1 binary64) x) (pow.f64 (sqrt.f64 (*.f64 y (sqrt.f64 x))) #s(literal 2 binary64)))
99.5%
(+.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 (pow.f64 (pow.f64 x #s(literal 1/4 binary64)) #s(literal 2 binary64))))
99.9%
(+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (sqrt.f64 x)))
79.9%
(+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (cbrt.f64 (pow.f64 x #s(literal 3/2 binary64)))))
75.9%
(+.f64 (-.f64 #s(literal 1 binary64) x) (sqrt.f64 (*.f64 x (pow.f64 y #s(literal 2 binary64)))))
77.7%
(+.f64 (-.f64 #s(literal 1 binary64) x) (cbrt.f64 (pow.f64 (*.f64 y (sqrt.f64 x)) #s(literal 3 binary64))))
67.8%
(+.f64 (neg.f64 x) (*.f64 y (sqrt.f64 x)))
62.2%
(+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) y))
86.6%
(*.f64 y (+.f64 (sqrt.f64 x) (/.f64 (-.f64 #s(literal 1 binary64) x) y)))
63.7%
(*.f64 x (-.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y) #s(literal 1 binary64)))
Compiler

Compiled 318 to 227 computations (28.6% saved)

simplify97.0ms (1.3%)

Algorithm
egg-herbie
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
cost-diff0
(pow.f64 (*.f64 y (sqrt.f64 x)) #s(literal 3 binary64))
cost-diff0
(-.f64 #s(literal 1 binary64) x)
cost-diff6592
(+.f64 (-.f64 #s(literal 1 binary64) x) (cbrt.f64 (pow.f64 (*.f64 y (sqrt.f64 x)) #s(literal 3 binary64))))
cost-diff12864
(cbrt.f64 (pow.f64 (*.f64 y (sqrt.f64 x)) #s(literal 3 binary64)))
cost-diff0
(pow.f64 y #s(literal 2 binary64))
cost-diff0
(*.f64 x (pow.f64 y #s(literal 2 binary64)))
cost-diff0
(-.f64 #s(literal 1 binary64) x)
cost-diff64
(sqrt.f64 (*.f64 x (pow.f64 y #s(literal 2 binary64))))
cost-diff-6272
(*.f64 x (-.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y) #s(literal 1 binary64)))
cost-diff0
(/.f64 #s(literal 1 binary64) x)
cost-diff0
(sqrt.f64 (/.f64 #s(literal 1 binary64) x))
cost-diff0
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y)
cost-diff-6272
(+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) y))
cost-diff-64
(sqrt.f64 x)
cost-diff0
(*.f64 (sqrt.f64 x) y)
cost-diff0
(-.f64 #s(literal 1 binary64) x)
cost-diff256
(+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (pow.f64 (pow.f64 x #s(literal 1/4 binary64)) #s(literal 2 binary64))))
cost-diff6528
(pow.f64 (pow.f64 x #s(literal 1/4 binary64)) #s(literal 2 binary64))
cost-diff6528
(*.f64 y (pow.f64 (pow.f64 x #s(literal 1/4 binary64)) #s(literal 2 binary64)))
Rules
823×fma-neg
465×unswap-sqr
410×associate-*r*
393×fma-define
390×neg-sub0
Iterations

Useful iterations: 5 (0.0ms)

IterNodesCost
033559
170493
2158475
3339471
4675471
51990467
65432467
77603467
Stop Event
node limit
Calls
Call 1
Inputs
(+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (pow.f64 (pow.f64 x #s(literal 1/4 binary64)) #s(literal 2 binary64))))
(-.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
x
(*.f64 y (pow.f64 (pow.f64 x #s(literal 1/4 binary64)) #s(literal 2 binary64)))
y
(pow.f64 (pow.f64 x #s(literal 1/4 binary64)) #s(literal 2 binary64))
(pow.f64 x #s(literal 1/4 binary64))
#s(literal 1/4 binary64)
#s(literal 2 binary64)
(+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) y))
#s(literal 1 binary64)
(*.f64 (sqrt.f64 x) y)
(sqrt.f64 x)
x
y
(*.f64 x (-.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y) #s(literal 1 binary64)))
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))
(/.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
y
(+.f64 (-.f64 #s(literal 1 binary64) x) (sqrt.f64 (*.f64 x (pow.f64 y #s(literal 2 binary64)))))
(-.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
x
(sqrt.f64 (*.f64 x (pow.f64 y #s(literal 2 binary64))))
(*.f64 x (pow.f64 y #s(literal 2 binary64)))
(pow.f64 y #s(literal 2 binary64))
y
#s(literal 2 binary64)
(+.f64 (-.f64 #s(literal 1 binary64) x) (cbrt.f64 (pow.f64 (*.f64 y (sqrt.f64 x)) #s(literal 3 binary64))))
(-.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
x
(cbrt.f64 (pow.f64 (*.f64 y (sqrt.f64 x)) #s(literal 3 binary64)))
(pow.f64 (*.f64 y (sqrt.f64 x)) #s(literal 3 binary64))
(*.f64 y (sqrt.f64 x))
y
(sqrt.f64 x)
#s(literal 3 binary64)
Outputs
(+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (pow.f64 (pow.f64 x #s(literal 1/4 binary64)) #s(literal 2 binary64))))
(fma.f64 y (pow.f64 x #s(literal 1/2 binary64)) (-.f64 #s(literal 1 binary64) x))
(-.f64 (fma.f64 y (sqrt.f64 x) #s(literal 1 binary64)) x)
(-.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
x
(*.f64 y (pow.f64 (pow.f64 x #s(literal 1/4 binary64)) #s(literal 2 binary64)))
(*.f64 y (pow.f64 x #s(literal 1/2 binary64)))
(*.f64 y (sqrt.f64 x))
y
(pow.f64 (pow.f64 x #s(literal 1/4 binary64)) #s(literal 2 binary64))
(pow.f64 x #s(literal 1/2 binary64))
(sqrt.f64 x)
(pow.f64 x #s(literal 1/4 binary64))
#s(literal 1/4 binary64)
#s(literal 2 binary64)
(+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) y))
(+.f64 #s(literal 1 binary64) (*.f64 y (sqrt.f64 x)))
(fma.f64 y (sqrt.f64 x) #s(literal 1 binary64))
#s(literal 1 binary64)
(*.f64 (sqrt.f64 x) y)
(*.f64 y (pow.f64 (pow.f64 x #s(literal 1/4 binary64)) #s(literal 2 binary64)))
(*.f64 y (pow.f64 x #s(literal 1/2 binary64)))
(*.f64 y (sqrt.f64 x))
(sqrt.f64 x)
(pow.f64 (pow.f64 x #s(literal 1/4 binary64)) #s(literal 2 binary64))
(pow.f64 x #s(literal 1/2 binary64))
x
y
(*.f64 x (-.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y) #s(literal 1 binary64)))
(*.f64 x (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y #s(literal -1 binary64)))
(*.f64 x (fma.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64)))
x
(-.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y) #s(literal 1 binary64))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y #s(literal -1 binary64))
(fma.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y)
(*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
(sqrt.f64 (/.f64 #s(literal 1 binary64) x))
(/.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
y
(+.f64 (-.f64 #s(literal 1 binary64) x) (sqrt.f64 (*.f64 x (pow.f64 y #s(literal 2 binary64)))))
(+.f64 #s(literal 1 binary64) (-.f64 (fabs.f64 (*.f64 y (sqrt.f64 x))) x))
(+.f64 #s(literal 1 binary64) (-.f64 (*.f64 (sqrt.f64 x) (fabs.f64 y)) x))
(-.f64 (fma.f64 (sqrt.f64 x) (fabs.f64 y) #s(literal 1 binary64)) x)
(-.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
x
(sqrt.f64 (*.f64 x (pow.f64 y #s(literal 2 binary64))))
(fabs.f64 (*.f64 y (sqrt.f64 x)))
(*.f64 (sqrt.f64 x) (fabs.f64 y))
(*.f64 x (pow.f64 y #s(literal 2 binary64)))
(pow.f64 y #s(literal 2 binary64))
y
#s(literal 2 binary64)
(+.f64 (-.f64 #s(literal 1 binary64) x) (cbrt.f64 (pow.f64 (*.f64 y (sqrt.f64 x)) #s(literal 3 binary64))))
(+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (pow.f64 (pow.f64 x #s(literal 1/4 binary64)) #s(literal 2 binary64))))
(fma.f64 y (pow.f64 x #s(literal 1/2 binary64)) (-.f64 #s(literal 1 binary64) x))
(-.f64 (fma.f64 y (sqrt.f64 x) #s(literal 1 binary64)) x)
(-.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
x
(cbrt.f64 (pow.f64 (*.f64 y (sqrt.f64 x)) #s(literal 3 binary64)))
(*.f64 y (pow.f64 (pow.f64 x #s(literal 1/4 binary64)) #s(literal 2 binary64)))
(*.f64 y (pow.f64 x #s(literal 1/2 binary64)))
(*.f64 y (sqrt.f64 x))
(pow.f64 (*.f64 y (sqrt.f64 x)) #s(literal 3 binary64))
(*.f64 y (sqrt.f64 x))
(*.f64 y (pow.f64 (pow.f64 x #s(literal 1/4 binary64)) #s(literal 2 binary64)))
(*.f64 y (pow.f64 x #s(literal 1/2 binary64)))
y
(sqrt.f64 x)
(pow.f64 (pow.f64 x #s(literal 1/4 binary64)) #s(literal 2 binary64))
(pow.f64 x #s(literal 1/2 binary64))
#s(literal 3 binary64)

localize185.0ms (2.5%)

Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(+.f64 (-.f64 #s(literal 1 binary64) x) (cbrt.f64 (pow.f64 (*.f64 y (sqrt.f64 x)) #s(literal 3 binary64))))
accuracy99.6%
(*.f64 y (sqrt.f64 x))
accuracy99.6%
(pow.f64 (*.f64 y (sqrt.f64 x)) #s(literal 3 binary64))
accuracy50.9%
(cbrt.f64 (pow.f64 (*.f64 y (sqrt.f64 x)) #s(literal 3 binary64)))
accuracy100.0%
(-.f64 #s(literal 1 binary64) x)
accuracy100.0%
(+.f64 (-.f64 #s(literal 1 binary64) x) (sqrt.f64 (*.f64 x (pow.f64 y #s(literal 2 binary64)))))
accuracy91.0%
(*.f64 x (pow.f64 y #s(literal 2 binary64)))
accuracy66.7%
(sqrt.f64 (*.f64 x (pow.f64 y #s(literal 2 binary64))))
accuracy100.0%
(-.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y) #s(literal 1 binary64))
accuracy99.6%
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y)
accuracy99.4%
(sqrt.f64 (/.f64 #s(literal 1 binary64) x))
accuracy95.8%
(*.f64 x (-.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y) #s(literal 1 binary64)))
accuracy100.0%
(+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) y))
accuracy100.0%
(sqrt.f64 x)
accuracy99.6%
(*.f64 (sqrt.f64 x) y)
accuracy100.0%
(pow.f64 x #s(literal 1/4 binary64))
accuracy100.0%
(+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (pow.f64 (pow.f64 x #s(literal 1/4 binary64)) #s(literal 2 binary64))))
accuracy99.6%
(*.f64 y (pow.f64 (pow.f64 x #s(literal 1/4 binary64)) #s(literal 2 binary64)))
accuracy99.2%
(pow.f64 (pow.f64 x #s(literal 1/4 binary64)) #s(literal 2 binary64))
Results
138.0ms256×0valid
Compiler

Compiled 154 to 28 computations (81.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 103.0ms
ival-pow: 72.0ms (69.9% of total)
ival-mult: 10.0ms (9.7% of total)
ival-sub: 6.0ms (5.8% of total)
ival-add: 5.0ms (4.9% of total)
ival-sqrt: 5.0ms (4.9% of total)
ival-div: 2.0ms (1.9% of total)
ival-cbrt: 2.0ms (1.9% of total)
const: 1.0ms (1% of total)
backward-pass: 0.0ms (0% of total)

series107.0ms (1.5%)

Counts
18 → 258
Calls
Call 1
Inputs
#<alt (*.f64 y (pow.f64 (pow.f64 x #s(literal 1/4 binary64)) #s(literal 2 binary64)))>
#<alt (pow.f64 (pow.f64 x #s(literal 1/4 binary64)) #s(literal 2 binary64))>
#<alt (+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (pow.f64 (pow.f64 x #s(literal 1/4 binary64)) #s(literal 2 binary64))))>
#<alt (*.f64 (sqrt.f64 x) y)>
#<alt (+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) y))>
#<alt (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y)>
#<alt (sqrt.f64 (/.f64 #s(literal 1 binary64) x))>
#<alt (/.f64 #s(literal 1 binary64) x)>
#<alt (*.f64 x (-.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y) #s(literal 1 binary64)))>
#<alt (sqrt.f64 (*.f64 x (pow.f64 y #s(literal 2 binary64))))>
#<alt (*.f64 x (pow.f64 y #s(literal 2 binary64)))>
#<alt (pow.f64 y #s(literal 2 binary64))>
#<alt (cbrt.f64 (pow.f64 (*.f64 y (sqrt.f64 x)) #s(literal 3 binary64)))>
#<alt (+.f64 (-.f64 #s(literal 1 binary64) x) (cbrt.f64 (pow.f64 (*.f64 y (sqrt.f64 x)) #s(literal 3 binary64))))>
#<alt (pow.f64 (*.f64 y (sqrt.f64 x)) #s(literal 3 binary64))>
#<alt (pow.f64 x #s(literal 1/4 binary64))>
#<alt (-.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y) #s(literal 1 binary64))>
#<alt (+.f64 (-.f64 #s(literal 1 binary64) x) (sqrt.f64 (*.f64 x (pow.f64 y #s(literal 2 binary64)))))>
Outputs
#<alt (*.f64 (sqrt.f64 x) y)>
#<alt (*.f64 (sqrt.f64 x) y)>
#<alt (*.f64 (sqrt.f64 x) y)>
#<alt (*.f64 (sqrt.f64 x) y)>
#<alt (*.f64 (sqrt.f64 x) y)>
#<alt (*.f64 (sqrt.f64 x) y)>
#<alt (*.f64 (sqrt.f64 x) y)>
#<alt (*.f64 (sqrt.f64 x) y)>
#<alt (*.f64 (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)))))>
#<alt (sqrt.f64 x)>
#<alt (sqrt.f64 x)>
#<alt (sqrt.f64 x)>
#<alt (sqrt.f64 x)>
#<alt (sqrt.f64 x)>
#<alt (sqrt.f64 x)>
#<alt (sqrt.f64 x)>
#<alt (sqrt.f64 x)>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 x) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 x) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 x) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 x) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))>
#<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 x (+.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y) (/.f64 #s(literal 1 binary64) x)))>
#<alt (*.f64 x (+.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y) (/.f64 #s(literal 1 binary64) x)))>
#<alt (*.f64 x (+.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y) (/.f64 #s(literal 1 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 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)))) (/.f64 #s(literal 1 binary64) x))))>
#<alt (*.f64 #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)))) (/.f64 #s(literal 1 binary64) x))))>
#<alt (*.f64 #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)))) (/.f64 #s(literal 1 binary64) x))))>
#<alt #s(literal 1 binary64)>
#<alt (*.f64 (sqrt.f64 x) y)>
#<alt (*.f64 y (+.f64 (sqrt.f64 x) (/.f64 #s(literal 1 binary64) y)))>
#<alt (*.f64 y (+.f64 (sqrt.f64 x) (/.f64 #s(literal 1 binary64) y)))>
#<alt (*.f64 y (+.f64 (sqrt.f64 x) (/.f64 #s(literal 1 binary64) 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) y))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) y))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) 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 (*.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)>
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#<alt (*.f64 y (+.f64 (sqrt.f64 x) (*.f64 #s(literal -1 binary64) (/.f64 x y))))>
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#<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 (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)>
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#<alt (*.f64 (sqrt.f64 x) y)>
#<alt (*.f64 (sqrt.f64 x) y)>
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#<alt (*.f64 (sqrt.f64 x) y)>
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#<alt (*.f64 (sqrt.f64 x) y)>
#<alt (*.f64 (sqrt.f64 x) y)>
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#<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 (/.f64 #s(literal 1 binary64) x)) y)>
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#<alt (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 (sqrt.f64 x) y)) x)>
#<alt (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 (sqrt.f64 x) y)) x)>
#<alt (-.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))>
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#<alt #s(literal -1 binary64)>
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#<alt (*.f64 y (-.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) y)))>
#<alt (*.f64 y (-.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) y)))>
#<alt (*.f64 y (-.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) y)))>
#<alt (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y)>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (/.f64 #s(literal 1 binary64) y))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (/.f64 #s(literal 1 binary64) y))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (/.f64 #s(literal 1 binary64) y))))>
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#<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 #s(literal 1 binary64) x)>
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#<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)>
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#<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)))))>
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#<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)))))>
Calls

93 calls:

TimeVariablePointExpression
31.0ms
x
@0
(pow x 1/4)
22.0ms
x
@-inf
(pow x 1/4)
7.0ms
x
@inf
(pow x 1/4)
6.0ms
x
@-inf
(pow (* y (sqrt x)) 3)
6.0ms
y
@-inf
(* (sqrt (/ 1 x)) y)

rewrite476.0ms (6.5%)

Algorithm
batch-egg-rewrite
Rules
1024×log1p-expm1-u
200×expm1-log1p-u
193×pow1
190×add-exp-log
190×add-cube-cbrt
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
033363
1543329
26373329
Stop Event
node limit
Counts
18 → 497
Calls
Call 1
Inputs
(*.f64 y (pow.f64 (pow.f64 x #s(literal 1/4 binary64)) #s(literal 2 binary64)))
(pow.f64 (pow.f64 x #s(literal 1/4 binary64)) #s(literal 2 binary64))
(+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (pow.f64 (pow.f64 x #s(literal 1/4 binary64)) #s(literal 2 binary64))))
(*.f64 (sqrt.f64 x) y)
(+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) y))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y)
(sqrt.f64 (/.f64 #s(literal 1 binary64) x))
(/.f64 #s(literal 1 binary64) x)
(*.f64 x (-.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y) #s(literal 1 binary64)))
(sqrt.f64 (*.f64 x (pow.f64 y #s(literal 2 binary64))))
(*.f64 x (pow.f64 y #s(literal 2 binary64)))
(pow.f64 y #s(literal 2 binary64))
(cbrt.f64 (pow.f64 (*.f64 y (sqrt.f64 x)) #s(literal 3 binary64)))
(+.f64 (-.f64 #s(literal 1 binary64) x) (cbrt.f64 (pow.f64 (*.f64 y (sqrt.f64 x)) #s(literal 3 binary64))))
(pow.f64 (*.f64 y (sqrt.f64 x)) #s(literal 3 binary64))
(pow.f64 x #s(literal 1/4 binary64))
(-.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y) #s(literal 1 binary64))
(+.f64 (-.f64 #s(literal 1 binary64) x) (sqrt.f64 (*.f64 x (pow.f64 y #s(literal 2 binary64)))))
Outputs
(-.f64 (fma.f64 y (sqrt.f64 x) #s(literal 1 binary64)) #s(literal 1 binary64))
(pow.f64 (*.f64 y (sqrt.f64 x)) #s(literal 1 binary64))
(pow.f64 (pow.f64 (*.f64 y (sqrt.f64 x)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
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(/.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 (-.f64 (fma.f64 y (sqrt.f64 x) #s(literal 1 binary64)) x) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (-.f64 (fma.f64 y (sqrt.f64 x) #s(literal 1 binary64)) x)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (-.f64 (fma.f64 y (sqrt.f64 x) #s(literal 1 binary64)) x) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (-.f64 (fma.f64 y (sqrt.f64 x) #s(literal 1 binary64)) x)) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (-.f64 (fma.f64 y (sqrt.f64 x) #s(literal 1 binary64)) x) #s(literal 2 binary64)))
(log.f64 (exp.f64 (-.f64 (fma.f64 y (sqrt.f64 x) #s(literal 1 binary64)) x)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (-.f64 (fma.f64 y (sqrt.f64 x) #s(literal 1 binary64)) x))))
(cbrt.f64 (pow.f64 (-.f64 (fma.f64 y (sqrt.f64 x) #s(literal 1 binary64)) x) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (-.f64 (fma.f64 y (sqrt.f64 x) #s(literal 1 binary64)) x)))
(log1p.f64 (expm1.f64 (-.f64 (fma.f64 y (sqrt.f64 x) #s(literal 1 binary64)) x)))
(exp.f64 (log.f64 (-.f64 (fma.f64 y (sqrt.f64 x) #s(literal 1 binary64)) x)))
(exp.f64 (*.f64 (log.f64 (-.f64 (fma.f64 y (sqrt.f64 x) #s(literal 1 binary64)) x)) #s(literal 1 binary64)))
(fma.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 #s(literal 1 binary64) (*.f64 y (sqrt.f64 x)) (-.f64 #s(literal 1 binary64) x))
(fma.f64 (sqrt.f64 x) y (-.f64 #s(literal 1 binary64) 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 (sqrt.f64 (*.f64 y (sqrt.f64 x))) (sqrt.f64 (*.f64 y (sqrt.f64 x))) (-.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)))

simplify288.0ms (3.9%)

Algorithm
egg-herbie
Rules
625×fma-neg
423×associate-*r*
377×associate-*l*
336×distribute-lft-neg-in
287×exp-prod
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
074923390
1154721488
2500020683
Stop Event
node limit
Counts
755 → 492
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)))))
(sqrt.f64 x)
(sqrt.f64 x)
(sqrt.f64 x)
(sqrt.f64 x)
(sqrt.f64 x)
(sqrt.f64 x)
(sqrt.f64 x)
(sqrt.f64 x)
(*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 x) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 x) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 x) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 x) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))
(+.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) (*.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 x (+.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y) (/.f64 #s(literal 1 binary64) x)))
(*.f64 x (+.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y) (/.f64 #s(literal 1 binary64) x)))
(*.f64 x (+.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y) (/.f64 #s(literal 1 binary64) x)))
(*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 x) (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))
(*.f64 #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)))) (/.f64 #s(literal 1 binary64) x))))
(*.f64 #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)))) (/.f64 #s(literal 1 binary64) x))))
(*.f64 #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)))) (/.f64 #s(literal 1 binary64) x))))
#s(literal 1 binary64)
(*.f64 (sqrt.f64 x) y)
(*.f64 y (+.f64 (sqrt.f64 x) (/.f64 #s(literal 1 binary64) y)))
(*.f64 y (+.f64 (sqrt.f64 x) (/.f64 #s(literal 1 binary64) y)))
(*.f64 y (+.f64 (sqrt.f64 x) (/.f64 #s(literal 1 binary64) 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) y))))
(*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) y))))
(*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) 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 (*.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 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 (sqrt.f64 x) y)
(*.f64 (sqrt.f64 x) y)
(*.f64 (sqrt.f64 x) y)
(*.f64 (sqrt.f64 x) y)
(*.f64 (sqrt.f64 x) y)
(*.f64 (sqrt.f64 x) y)
(*.f64 (sqrt.f64 x) y)
(*.f64 (sqrt.f64 x) y)
(*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 x) (*.f64 y (cbrt.f64 #s(literal -1 binary64)))))
(*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 x) (*.f64 y (cbrt.f64 #s(literal -1 binary64)))))
(*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 x) (*.f64 y (cbrt.f64 #s(literal -1 binary64)))))
(*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 x) (*.f64 y (cbrt.f64 #s(literal -1 binary64)))))
(*.f64 (sqrt.f64 x) y)
(*.f64 (sqrt.f64 x) y)
(*.f64 (sqrt.f64 x) y)
(*.f64 (sqrt.f64 x) y)
(*.f64 (sqrt.f64 x) y)
(*.f64 (sqrt.f64 x) y)
(*.f64 (sqrt.f64 x) y)
(*.f64 (sqrt.f64 x) y)
(*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 x) (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))
(*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 x) (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))
(*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 x) (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))
(*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 x) (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))
(+.f64 #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)))
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(*.f64 (pow.f64 (cbrt.f64 (fma.f64 y (pow.f64 x #s(literal -1/2 binary64)) #s(literal -1 binary64))) #s(literal 2 binary64)) (cbrt.f64 (fma.f64 y (pow.f64 x #s(literal -1/2 binary64)) #s(literal -1 binary64))))
(*.f64 (sqrt.f64 (fma.f64 y (pow.f64 x #s(literal -1/2 binary64)) #s(literal -1 binary64))) (sqrt.f64 (fma.f64 y (pow.f64 x #s(literal -1/2 binary64)) #s(literal -1 binary64))))
(*.f64 (+.f64 (pow.f64 (/.f64 y (sqrt.f64 x)) #s(literal 3 binary64)) #s(literal -1 binary64)) (/.f64 #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 (pow.f64 (/.f64 y (sqrt.f64 x)) #s(literal 2 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 y (pow.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64))))
(*.f64 (+.f64 (sqrt.f64 (/.f64 y (sqrt.f64 x))) #s(literal 1 binary64)) (-.f64 (sqrt.f64 (/.f64 y (sqrt.f64 x))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.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 (pow.f64 (/.f64 y (sqrt.f64 x)) #s(literal 3 binary64)) #s(literal -1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y (pow.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64)) (+.f64 (pow.f64 (/.f64 y (sqrt.f64 x)) #s(literal 2 binary64)) #s(literal -1 binary64))))
(/.f64 (+.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 (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)) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 y (sqrt.f64 x)) #s(literal -1 binary64)))))
(/.f64 (+.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 (pow.f64 (/.f64 y (sqrt.f64 x)) #s(literal 2 binary64)) #s(literal -1 binary64)) (-.f64 (/.f64 y (sqrt.f64 x)) #s(literal -1 binary64)))
(/.f64 (neg.f64 (+.f64 (pow.f64 (/.f64 y (sqrt.f64 x)) #s(literal 3 binary64)) #s(literal -1 binary64))) (neg.f64 (+.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 (neg.f64 (+.f64 (pow.f64 (/.f64 y (sqrt.f64 x)) #s(literal 2 binary64)) #s(literal -1 binary64))) (neg.f64 (fma.f64 y (pow.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64))))
(pow.f64 (fma.f64 y (pow.f64 x #s(literal -1/2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (fma.f64 y (pow.f64 x #s(literal -1/2 binary64)) #s(literal -1 binary64))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (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 (fma.f64 y (pow.f64 x #s(literal -1/2 binary64)) #s(literal -1 binary64))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (fma.f64 y (pow.f64 x #s(literal -1/2 binary64)) #s(literal -1 binary64)) #s(literal 2 binary64)))
(log.f64 (exp.f64 (fma.f64 y (pow.f64 x #s(literal -1/2 binary64)) #s(literal -1 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 y (pow.f64 x #s(literal -1/2 binary64)) #s(literal -1 binary64)))))
(cbrt.f64 (pow.f64 (fma.f64 y (pow.f64 x #s(literal -1/2 binary64)) #s(literal -1 binary64)) #s(literal 3 binary64)))
(expm1.f64 (log.f64 (/.f64 y (sqrt.f64 x))))
(log1p.f64 (expm1.f64 (fma.f64 y (pow.f64 x #s(literal -1/2 binary64)) #s(literal -1 binary64))))
(exp.f64 (log.f64 (fma.f64 y (pow.f64 x #s(literal -1/2 binary64)) #s(literal -1 binary64))))
(exp.f64 (*.f64 (log.f64 (fma.f64 y (pow.f64 x #s(literal -1/2 binary64)) #s(literal -1 binary64))) #s(literal 1 binary64)))
(fma.f64 y (pow.f64 x #s(literal -1/2 binary64)) #s(literal -1 binary64))
(fma.f64 #s(literal 1 binary64) (/.f64 y (sqrt.f64 x)) #s(literal -1 binary64))
(fma.f64 (pow.f64 x #s(literal -1/2 binary64)) y #s(literal -1 binary64))
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 y (sqrt.f64 x))) #s(literal 2 binary64)) (cbrt.f64 (/.f64 y (sqrt.f64 x))) #s(literal -1 binary64))
(fma.f64 (sqrt.f64 (/.f64 y (sqrt.f64 x))) (sqrt.f64 (/.f64 y (sqrt.f64 x))) #s(literal -1 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 (exp.f64 (log1p.f64 (-.f64 (fma.f64 y (sqrt.f64 x) #s(literal 1 binary64)) x))) #s(literal 1 binary64))
(-.f64 (/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) (-.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (sqrt.f64 x)))) (/.f64 (*.f64 x (pow.f64 y #s(literal 2 binary64))) (-.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (sqrt.f64 x)))))
(*.f64 #s(literal 1 binary64) (-.f64 (fma.f64 y (sqrt.f64 x) #s(literal 1 binary64)) x))
(*.f64 (-.f64 (fma.f64 y (sqrt.f64 x) #s(literal 1 binary64)) x) #s(literal 1 binary64))
(*.f64 (cbrt.f64 (-.f64 (fma.f64 y (sqrt.f64 x) #s(literal 1 binary64)) x)) (pow.f64 (cbrt.f64 (-.f64 (fma.f64 y (sqrt.f64 x) #s(literal 1 binary64)) x)) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 (fma.f64 y (sqrt.f64 x) #s(literal 1 binary64)) x)) #s(literal 2 binary64)) (cbrt.f64 (-.f64 (fma.f64 y (sqrt.f64 x) #s(literal 1 binary64)) x)))
(*.f64 (sqrt.f64 (-.f64 (fma.f64 y (sqrt.f64 x) #s(literal 1 binary64)) x)) (sqrt.f64 (-.f64 (fma.f64 y (sqrt.f64 x) #s(literal 1 binary64)) x)))
(*.f64 (+.f64 (pow.f64 (*.f64 y (sqrt.f64 x)) #s(literal 3 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) (*.f64 (*.f64 y (sqrt.f64 x)) (-.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 (-.f64 #s(literal 1 binary64) x) (*.f64 y (sqrt.f64 x)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) (*.f64 (*.f64 y (sqrt.f64 x)) (-.f64 (*.f64 y (sqrt.f64 x)) (-.f64 #s(literal 1 binary64) x)))) (+.f64 (pow.f64 (*.f64 y (sqrt.f64 x)) #s(literal 3 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (-.f64 #s(literal 1 binary64) 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 (+.f64 (pow.f64 (*.f64 y (sqrt.f64 x)) #s(literal 3 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 3 binary64))) (+.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) (*.f64 (*.f64 y (sqrt.f64 x)) (-.f64 (*.f64 y (sqrt.f64 x)) (-.f64 #s(literal 1 binary64) x)))))
(/.f64 (+.f64 (pow.f64 (*.f64 y (sqrt.f64 x)) #s(literal 3 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 3 binary64))) (+.f64 (*.f64 x (pow.f64 y #s(literal 2 binary64))) (-.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) (*.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (sqrt.f64 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 (-.f64 #s(literal 1 binary64) x) (*.f64 y (sqrt.f64 x))))
(/.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 (-.f64 #s(literal 1 binary64) x) (*.f64 y (sqrt.f64 x)))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 y (sqrt.f64 x)) #s(literal 3 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) (*.f64 (*.f64 y (sqrt.f64 x)) (-.f64 (*.f64 y (sqrt.f64 x)) (-.f64 #s(literal 1 binary64) 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) (+.f64 (*.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 (-.f64 (fma.f64 y (sqrt.f64 x) #s(literal 1 binary64)) x) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (-.f64 (fma.f64 y (sqrt.f64 x) #s(literal 1 binary64)) x)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (-.f64 (fma.f64 y (sqrt.f64 x) #s(literal 1 binary64)) x) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (-.f64 (fma.f64 y (sqrt.f64 x) #s(literal 1 binary64)) x)) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (-.f64 (fma.f64 y (sqrt.f64 x) #s(literal 1 binary64)) x) #s(literal 2 binary64)))
(log.f64 (exp.f64 (-.f64 (fma.f64 y (sqrt.f64 x) #s(literal 1 binary64)) x)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (-.f64 (fma.f64 y (sqrt.f64 x) #s(literal 1 binary64)) x))))
(cbrt.f64 (pow.f64 (-.f64 (fma.f64 y (sqrt.f64 x) #s(literal 1 binary64)) x) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (-.f64 (fma.f64 y (sqrt.f64 x) #s(literal 1 binary64)) x)))
(log1p.f64 (expm1.f64 (-.f64 (fma.f64 y (sqrt.f64 x) #s(literal 1 binary64)) x)))
(exp.f64 (log.f64 (-.f64 (fma.f64 y (sqrt.f64 x) #s(literal 1 binary64)) x)))
(exp.f64 (*.f64 (log.f64 (-.f64 (fma.f64 y (sqrt.f64 x) #s(literal 1 binary64)) x)) #s(literal 1 binary64)))
(fma.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 #s(literal 1 binary64) (*.f64 y (sqrt.f64 x)) (-.f64 #s(literal 1 binary64) x))
(fma.f64 (sqrt.f64 x) y (-.f64 #s(literal 1 binary64) 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 (sqrt.f64 (*.f64 y (sqrt.f64 x))) (sqrt.f64 (*.f64 y (sqrt.f64 x))) (-.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)))
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)
(sqrt.f64 x)
(sqrt.f64 x)
(sqrt.f64 x)
(sqrt.f64 x)
(sqrt.f64 x)
(sqrt.f64 x)
(sqrt.f64 x)
(sqrt.f64 x)
(*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 x) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))
(sqrt.f64 x)
(*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 x) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))
(sqrt.f64 x)
(*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 x) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))
(sqrt.f64 x)
(*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 x) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))
(sqrt.f64 x)
(+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) y))
(fma.f64 (sqrt.f64 x) y #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (+.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 (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64)) x)
(fma.f64 (sqrt.f64 x) y (-.f64 #s(literal 1 binary64) x))
(+.f64 #s(literal 1 binary64) (+.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 (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64)) x)
(fma.f64 (sqrt.f64 x) y (-.f64 #s(literal 1 binary64) x))
(+.f64 #s(literal 1 binary64) (+.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 (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64)) x)
(fma.f64 (sqrt.f64 x) y (-.f64 #s(literal 1 binary64) x))
(*.f64 x (-.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y) #s(literal 1 binary64)))
(*.f64 x (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y #s(literal -1 binary64)))
(*.f64 x (fma.f64 y (pow.f64 x #s(literal -1/2 binary64)) #s(literal -1 binary64)))
(fma.f64 (sqrt.f64 x) y (neg.f64 x))
(*.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 (-.f64 #s(literal 1 binary64) x) (*.f64 (sqrt.f64 x) y))
(-.f64 (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64)) x)
(fma.f64 (sqrt.f64 x) y (-.f64 #s(literal 1 binary64) x))
(*.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 (-.f64 #s(literal 1 binary64) x) (*.f64 (sqrt.f64 x) y))
(-.f64 (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64)) x)
(fma.f64 (sqrt.f64 x) y (-.f64 #s(literal 1 binary64) x))
(*.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 (-.f64 #s(literal 1 binary64) x) (*.f64 (sqrt.f64 x) y))
(-.f64 (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64)) x)
(fma.f64 (sqrt.f64 x) y (-.f64 #s(literal 1 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 x (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y #s(literal -1 binary64)))
(*.f64 x (fma.f64 y (pow.f64 x #s(literal -1/2 binary64)) #s(literal -1 binary64)))
(fma.f64 (sqrt.f64 x) y (neg.f64 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 (-.f64 #s(literal 1 binary64) x) (*.f64 (sqrt.f64 x) y))
(-.f64 (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64)) x)
(fma.f64 (sqrt.f64 x) y (-.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 (-.f64 #s(literal 1 binary64) x) (*.f64 (sqrt.f64 x) y))
(-.f64 (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64)) x)
(fma.f64 (sqrt.f64 x) y (-.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 (-.f64 #s(literal 1 binary64) x) (*.f64 (sqrt.f64 x) y))
(-.f64 (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64)) x)
(fma.f64 (sqrt.f64 x) y (-.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) x) (*.f64 (sqrt.f64 x) y))
(-.f64 (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64)) x)
(fma.f64 (sqrt.f64 x) y (-.f64 #s(literal 1 binary64) x))
(-.f64 (+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) y)) x)
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(/.f64 (-.f64 (*.f64 x (pow.f64 y #s(literal 2 binary64))) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))) (fma.f64 (sqrt.f64 x) y (+.f64 #s(literal -1 binary64) x)))
(/.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 (-.f64 #s(literal 1 binary64) x) (*.f64 y (sqrt.f64 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 (sqrt.f64 x) y))))
(/.f64 (-.f64 (*.f64 x (pow.f64 y #s(literal 2 binary64))) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))) (fma.f64 (sqrt.f64 x) y (+.f64 #s(literal -1 binary64) x)))
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 y (sqrt.f64 x)) #s(literal 3 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) (*.f64 (*.f64 y (sqrt.f64 x)) (-.f64 (*.f64 y (sqrt.f64 x)) (-.f64 #s(literal 1 binary64) x))))))
(/.f64 (*.f64 (+.f64 (pow.f64 (*.f64 (sqrt.f64 x) y) #s(literal 3 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 3 binary64))) #s(literal 1 binary64)) (+.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) (*.f64 y (*.f64 (sqrt.f64 x) (+.f64 (fma.f64 y (sqrt.f64 x) #s(literal -1 binary64)) x)))))
(/.f64 (+.f64 (pow.f64 (*.f64 (sqrt.f64 x) y) #s(literal 3 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 3 binary64))) (fma.f64 y (*.f64 (sqrt.f64 x) (+.f64 x (fma.f64 (sqrt.f64 x) y #s(literal -1 binary64)))) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))))
(/.f64 (fma.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 3 binary64))) (fma.f64 (*.f64 (sqrt.f64 x) y) (fma.f64 (sqrt.f64 x) y (+.f64 #s(literal -1 binary64) x)) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (-.f64 x (*.f64 y (sqrt.f64 x))) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 (-.f64 x (*.f64 y (sqrt.f64 x))) (-.f64 x (*.f64 y (sqrt.f64 x)))) (-.f64 x (*.f64 y (sqrt.f64 x))))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (-.f64 x (*.f64 (sqrt.f64 x) y)) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 (-.f64 (+.f64 #s(literal 1 binary64) x) (*.f64 (sqrt.f64 x) y)) (-.f64 x (*.f64 (sqrt.f64 x) y)))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (-.f64 x (*.f64 (sqrt.f64 x) y)) #s(literal 3 binary64))) (fma.f64 (-.f64 x (fma.f64 (sqrt.f64 x) y #s(literal -1 binary64))) (-.f64 x (*.f64 (sqrt.f64 x) y)) #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 (*.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 (sqrt.f64 x) y))))
(/.f64 (-.f64 (*.f64 x (pow.f64 y #s(literal 2 binary64))) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))) (fma.f64 (sqrt.f64 x) y (+.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)))))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 x (*.f64 (sqrt.f64 x) y)) (-.f64 x (*.f64 (sqrt.f64 x) y)))) (-.f64 (+.f64 #s(literal 1 binary64) x) (*.f64 (sqrt.f64 x) y)))
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (sqrt.f64 x) y (neg.f64 x)) (-.f64 x (*.f64 (sqrt.f64 x) y)))) (-.f64 x (fma.f64 (sqrt.f64 x) y #s(literal -1 binary64))))
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (-.f64 x (*.f64 (sqrt.f64 x) y)) (fma.f64 (sqrt.f64 x) y (neg.f64 x)))) (-.f64 x (fma.f64 (sqrt.f64 x) y #s(literal -1 binary64))))
(pow.f64 (-.f64 (fma.f64 y (sqrt.f64 x) #s(literal 1 binary64)) x) #s(literal 1 binary64))
(+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 (sqrt.f64 x) y))
(-.f64 (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64)) x)
(fma.f64 (sqrt.f64 x) y (-.f64 #s(literal 1 binary64) x))
(pow.f64 (cbrt.f64 (-.f64 (fma.f64 y (sqrt.f64 x) #s(literal 1 binary64)) x)) #s(literal 3 binary64))
(+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 (sqrt.f64 x) y))
(-.f64 (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64)) x)
(fma.f64 (sqrt.f64 x) y (-.f64 #s(literal 1 binary64) x))
(pow.f64 (pow.f64 (-.f64 (fma.f64 y (sqrt.f64 x) #s(literal 1 binary64)) x) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 (sqrt.f64 x) y))
(-.f64 (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64)) x)
(fma.f64 (sqrt.f64 x) y (-.f64 #s(literal 1 binary64) x))
(pow.f64 (sqrt.f64 (-.f64 (fma.f64 y (sqrt.f64 x) #s(literal 1 binary64)) x)) #s(literal 2 binary64))
(+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 (sqrt.f64 x) y))
(-.f64 (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64)) x)
(fma.f64 (sqrt.f64 x) y (-.f64 #s(literal 1 binary64) x))
(sqrt.f64 (pow.f64 (-.f64 (fma.f64 y (sqrt.f64 x) #s(literal 1 binary64)) x) #s(literal 2 binary64)))
(+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 (sqrt.f64 x) y))
(-.f64 (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64)) x)
(fma.f64 (sqrt.f64 x) y (-.f64 #s(literal 1 binary64) x))
(log.f64 (exp.f64 (-.f64 (fma.f64 y (sqrt.f64 x) #s(literal 1 binary64)) x)))
(+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 (sqrt.f64 x) y))
(-.f64 (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64)) x)
(fma.f64 (sqrt.f64 x) y (-.f64 #s(literal 1 binary64) x))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (-.f64 (fma.f64 y (sqrt.f64 x) #s(literal 1 binary64)) x))))
(+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 (sqrt.f64 x) y))
(-.f64 (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64)) x)
(fma.f64 (sqrt.f64 x) y (-.f64 #s(literal 1 binary64) x))
(cbrt.f64 (pow.f64 (-.f64 (fma.f64 y (sqrt.f64 x) #s(literal 1 binary64)) x) #s(literal 3 binary64)))
(+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 (sqrt.f64 x) y))
(-.f64 (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64)) x)
(fma.f64 (sqrt.f64 x) y (-.f64 #s(literal 1 binary64) x))
(expm1.f64 (log1p.f64 (-.f64 (fma.f64 y (sqrt.f64 x) #s(literal 1 binary64)) x)))
(expm1.f64 (log1p.f64 (-.f64 (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64)) x)))
(expm1.f64 (log1p.f64 (fma.f64 (sqrt.f64 x) y (-.f64 #s(literal 1 binary64) x))))
(log1p.f64 (expm1.f64 (-.f64 (fma.f64 y (sqrt.f64 x) #s(literal 1 binary64)) x)))
(+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 (sqrt.f64 x) y))
(-.f64 (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64)) x)
(fma.f64 (sqrt.f64 x) y (-.f64 #s(literal 1 binary64) x))
(exp.f64 (log.f64 (-.f64 (fma.f64 y (sqrt.f64 x) #s(literal 1 binary64)) x)))
(+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 (sqrt.f64 x) y))
(-.f64 (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64)) x)
(fma.f64 (sqrt.f64 x) y (-.f64 #s(literal 1 binary64) x))
(exp.f64 (*.f64 (log.f64 (-.f64 (fma.f64 y (sqrt.f64 x) #s(literal 1 binary64)) x)) #s(literal 1 binary64)))
(+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 (sqrt.f64 x) y))
(-.f64 (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64)) x)
(fma.f64 (sqrt.f64 x) y (-.f64 #s(literal 1 binary64) x))
(fma.f64 y (sqrt.f64 x) (-.f64 #s(literal 1 binary64) x))
(+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 (sqrt.f64 x) y))
(-.f64 (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64)) x)
(fma.f64 (sqrt.f64 x) y (-.f64 #s(literal 1 binary64) x))
(fma.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x) (*.f64 y (sqrt.f64 x)))
(+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 (sqrt.f64 x) y))
(-.f64 (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64)) x)
(fma.f64 (sqrt.f64 x) y (-.f64 #s(literal 1 binary64) x))
(fma.f64 #s(literal 1 binary64) (*.f64 y (sqrt.f64 x)) (-.f64 #s(literal 1 binary64) x))
(+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 (sqrt.f64 x) y))
(-.f64 (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64)) x)
(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 (-.f64 #s(literal 1 binary64) x) (*.f64 (sqrt.f64 x) y))
(-.f64 (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64)) 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)))
(+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 (sqrt.f64 x) y))
(-.f64 (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64)) x)
(fma.f64 (sqrt.f64 x) y (-.f64 #s(literal 1 binary64) 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 (*.f64 x (pow.f64 y #s(literal 2 binary64)))) (cbrt.f64 (*.f64 (sqrt.f64 x) y)) (-.f64 #s(literal 1 binary64) x))
(-.f64 (fma.f64 (cbrt.f64 (*.f64 (sqrt.f64 x) y)) (cbrt.f64 (*.f64 x (pow.f64 y #s(literal 2 binary64)))) #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))
(+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 (sqrt.f64 x) y))
(-.f64 (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64)) x)
(fma.f64 (sqrt.f64 x) y (-.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)))
(+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 (sqrt.f64 x) y))
(-.f64 (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64)) x)
(fma.f64 (sqrt.f64 x) y (-.f64 #s(literal 1 binary64) x))

eval111.0ms (1.5%)

Compiler

Compiled 13436 to 2598 computations (80.7% saved)

prune123.0ms (1.7%)

Pruning

14 alts after pruning (12 fresh and 2 done)

PrunedKeptTotal
New87710887
Fresh527
Picked415
Done011
Total88614900
Accuracy
100.0%
Counts
900 → 14
Alt Table
Click to see full alt table
StatusAccuracyProgram
41.5%
(/.f64 (-.f64 (*.f64 x (pow.f64 y #s(literal 2 binary64))) #s(literal 1 binary64)) (-.f64 (*.f64 y (sqrt.f64 x)) #s(literal 1 binary64)))
69.0%
(-.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)))
99.9%
(+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (sqrt.f64 x)))
79.9%
(+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (cbrt.f64 (pow.f64 x #s(literal 3/2 binary64)))))
67.8%
(+.f64 (neg.f64 x) (*.f64 y (sqrt.f64 x)))
62.1%
(+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (pow.f64 x #s(literal 1/4 binary64)) #s(literal 2 binary64)) y))
62.0%
(+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (cbrt.f64 x) #s(literal 3/2 binary64)) y))
62.2%
(+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) y))
54.6%
(*.f64 y (-.f64 (sqrt.f64 x) (/.f64 x y)))
28.0%
(*.f64 x (/.f64 y (sqrt.f64 x)))
28.0%
(*.f64 x (*.f64 y (pow.f64 x #s(literal -1/2 binary64))))
37.8%
(neg.f64 x)
32.2%
#s(literal 1 binary64)
Compiler

Compiled 242 to 171 computations (29.3% saved)

simplify183.0ms (2.5%)

Algorithm
egg-herbie
Localize:

Found 12 expressions of interest:

NewMetricScoreProgram
cost-diff0
(/.f64 x y)
cost-diff0
(sqrt.f64 x)
cost-diff0
(-.f64 (sqrt.f64 x) (/.f64 x y))
cost-diff128
(*.f64 y (-.f64 (sqrt.f64 x) (/.f64 x y)))
cost-diff0
(pow.f64 x #s(literal -1/2 binary64))
cost-diff0
(*.f64 y (pow.f64 x #s(literal -1/2 binary64)))
cost-diff192
(*.f64 x (*.f64 y (pow.f64 x #s(literal -1/2 binary64))))
cost-diff0
(-.f64 #s(literal 1 binary64) x)
cost-diff0
(pow.f64 x #s(literal 1/4 binary64))
cost-diff0
(-.f64 #s(literal 1 binary64) x)
cost-diff384
(+.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)))
cost-diff6656
(*.f64 (pow.f64 x #s(literal 1/4 binary64)) (*.f64 (pow.f64 x #s(literal 1/4 binary64)) y))
Rules
1764×fma-define
712×fma-neg
289×cancel-sign-sub-inv
269×div-sub
259×associate-*l/
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
023310
144261
294255
3189255
4409246
5905246
62316246
74664246
85800246
96368246
106513246
116561246
127944246
Stop Event
node limit
Calls
Call 1
Inputs
(+.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 #s(literal 1 binary64) x)
#s(literal 1 binary64)
x
(*.f64 (pow.f64 x #s(literal 1/4 binary64)) (*.f64 (pow.f64 x #s(literal 1/4 binary64)) y))
(pow.f64 x #s(literal 1/4 binary64))
#s(literal 1/4 binary64)
(*.f64 (pow.f64 x #s(literal 1/4 binary64)) y)
y
#s(literal 1 binary64)
(-.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
x
(*.f64 x (*.f64 y (pow.f64 x #s(literal -1/2 binary64))))
x
(*.f64 y (pow.f64 x #s(literal -1/2 binary64)))
y
(pow.f64 x #s(literal -1/2 binary64))
#s(literal -1/2 binary64)
(*.f64 y (-.f64 (sqrt.f64 x) (/.f64 x y)))
y
(-.f64 (sqrt.f64 x) (/.f64 x y))
(sqrt.f64 x)
x
(/.f64 x y)
Outputs
(+.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)))
(fma.f64 (pow.f64 x #s(literal 1/2 binary64)) y (-.f64 #s(literal 1 binary64) x))
(fma.f64 y (sqrt.f64 x) (-.f64 #s(literal 1 binary64) x))
(-.f64 (fma.f64 y (sqrt.f64 x) #s(literal 1 binary64)) x)
(-.f64 #s(literal 1 binary64) x)
#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 y (pow.f64 x #s(literal 1/2 binary64)))
(*.f64 y (sqrt.f64 x))
(pow.f64 x #s(literal 1/4 binary64))
#s(literal 1/4 binary64)
(*.f64 (pow.f64 x #s(literal 1/4 binary64)) y)
y
#s(literal 1 binary64)
(-.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
x
(*.f64 x (*.f64 y (pow.f64 x #s(literal -1/2 binary64))))
(*.f64 (pow.f64 x #s(literal 1/4 binary64)) (*.f64 (pow.f64 x #s(literal 1/4 binary64)) y))
(*.f64 y (pow.f64 x #s(literal 1/2 binary64)))
(*.f64 y (sqrt.f64 x))
x
(*.f64 y (pow.f64 x #s(literal -1/2 binary64)))
y
(pow.f64 x #s(literal -1/2 binary64))
#s(literal -1/2 binary64)
(*.f64 y (-.f64 (sqrt.f64 x) (/.f64 x y)))
(-.f64 (*.f64 y (sqrt.f64 x)) x)
y
(-.f64 (sqrt.f64 x) (/.f64 x y))
(sqrt.f64 x)
x
(/.f64 x y)

localize90.0ms (1.2%)

Localize:

Found 12 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(/.f64 x y)
accuracy100.0%
(sqrt.f64 x)
accuracy100.0%
(-.f64 (sqrt.f64 x) (/.f64 x y))
accuracy86.7%
(*.f64 y (-.f64 (sqrt.f64 x) (/.f64 x y)))
accuracy100.0%
(pow.f64 x #s(literal -1/2 binary64))
accuracy99.6%
(*.f64 y (pow.f64 x #s(literal -1/2 binary64)))
accuracy89.7%
(*.f64 x (*.f64 y (pow.f64 x #s(literal -1/2 binary64))))
accuracy100.0%
(-.f64 #s(literal 1 binary64) x)
accuracy100.0%
(pow.f64 x #s(literal 1/4 binary64))
accuracy100.0%
(+.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)))
accuracy99.6%
(*.f64 (pow.f64 x #s(literal 1/4 binary64)) y)
accuracy99.5%
(*.f64 (pow.f64 x #s(literal 1/4 binary64)) (*.f64 (pow.f64 x #s(literal 1/4 binary64)) y))
Results
63.0ms256×0valid
Compiler

Compiled 85 to 18 computations (78.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 37.0ms
ival-mult: 15.0ms (40.1% of total)
ival-pow: 14.0ms (37.5% of total)
ival-sub: 3.0ms (8% of total)
ival-div: 2.0ms (5.4% of total)
ival-sqrt: 2.0ms (5.4% of total)
ival-add: 1.0ms (2.7% of total)
const: 1.0ms (2.7% of total)
backward-pass: 0.0ms (0% of total)

series63.0ms (0.9%)

Counts
9 → 180
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 (-.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)))>
#<alt (*.f64 x (*.f64 y (pow.f64 x #s(literal -1/2 binary64))))>
#<alt (*.f64 y (pow.f64 x #s(literal -1/2 binary64)))>
#<alt (pow.f64 x #s(literal -1/2 binary64))>
#<alt (*.f64 y (-.f64 (sqrt.f64 x) (/.f64 x y)))>
#<alt (-.f64 (sqrt.f64 x) (/.f64 x y))>
#<alt (/.f64 x y)>
#<alt (*.f64 (pow.f64 x #s(literal 1/4 binary64)) 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)))))>
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#<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 #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 #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))))>
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#<alt (-.f64 #s(literal 1 binary64) x)>
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#<alt (*.f64 (sqrt.f64 x) y)>
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#<alt (*.f64 (sqrt.f64 x) y)>
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#<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)>
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#<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 (sqrt.f64 (/.f64 #s(literal 1 binary64) x))>
#<alt (sqrt.f64 (/.f64 #s(literal 1 binary64) x))>
#<alt (sqrt.f64 (/.f64 #s(literal 1 binary64) x))>
#<alt (sqrt.f64 (/.f64 #s(literal 1 binary64) x))>
#<alt (sqrt.f64 (/.f64 #s(literal 1 binary64) x))>
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#<alt (sqrt.f64 (/.f64 #s(literal 1 binary64) x))>
#<alt (sqrt.f64 (/.f64 #s(literal 1 binary64) x))>
#<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 #s(literal -1 binary64) x)>
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#<alt (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 (sqrt.f64 x) y))>
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#<alt (*.f64 (sqrt.f64 x) y)>
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#<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 y (-.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) y))))>
#<alt (*.f64 x (*.f64 y (-.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) y))))>
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#<alt (*.f64 x (*.f64 y (-.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) y))))>
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#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (*.f64 y (+.f64 (*.f64 (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) y)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (*.f64 y (+.f64 (*.f64 (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) y)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (*.f64 y (+.f64 (*.f64 (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) y)))))>
#<alt (sqrt.f64 x)>
#<alt (+.f64 (sqrt.f64 x) (*.f64 #s(literal -1 binary64) (/.f64 x y)))>
#<alt (+.f64 (sqrt.f64 x) (*.f64 #s(literal -1 binary64) (/.f64 x y)))>
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#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 (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) y))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 (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) y))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 (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) y))))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 x y))>
#<alt (/.f64 (-.f64 (*.f64 (sqrt.f64 x) y) x) y)>
#<alt (/.f64 (-.f64 (*.f64 (sqrt.f64 x) y) x) y)>
#<alt (/.f64 (-.f64 (*.f64 (sqrt.f64 x) y) x) y)>
#<alt (sqrt.f64 x)>
#<alt (+.f64 (sqrt.f64 x) (*.f64 #s(literal -1 binary64) (/.f64 x y)))>
#<alt (+.f64 (sqrt.f64 x) (*.f64 #s(literal -1 binary64) (/.f64 x y)))>
#<alt (+.f64 (sqrt.f64 x) (*.f64 #s(literal -1 binary64) (/.f64 x y)))>
#<alt (sqrt.f64 x)>
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#<alt (+.f64 (sqrt.f64 x) (*.f64 #s(literal -1 binary64) (/.f64 x y)))>
#<alt (+.f64 (sqrt.f64 x) (*.f64 #s(literal -1 binary64) (/.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)>
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#<alt (*.f64 (pow.f64 (*.f64 #s(literal 1 binary64) x) #s(literal 1/4 binary64)) y)>
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#<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)))))))>
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#<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)>
Calls

51 calls:

TimeVariablePointExpression
42.0ms
y
@0
(* (pow x 1/4) y)
2.0ms
x
@0
(* (pow x 1/4) (* (pow x 1/4) y))
1.0ms
x
@inf
(* y (- (sqrt x) (/ x y)))
1.0ms
y
@-inf
(* y (- (sqrt x) (/ x y)))
1.0ms
x
@-inf
(* y (- (sqrt x) (/ x y)))

rewrite173.0ms (2.4%)

Algorithm
batch-egg-rewrite
Rules
1105×log1p-expm1-u
786×expm1-log1p-u
162×associate-*r*
155×add-cube-cbrt
153×add-exp-log
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
023233
1347195
24906195
Stop Event
node limit
Counts
9 → 210
Calls
Call 1
Inputs
(*.f64 (pow.f64 x #s(literal 1/4 binary64)) (*.f64 (pow.f64 x #s(literal 1/4 binary64)) y))
(+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 (pow.f64 x #s(literal 1/4 binary64)) (*.f64 (pow.f64 x #s(literal 1/4 binary64)) y)))
(*.f64 x (*.f64 y (pow.f64 x #s(literal -1/2 binary64))))
(*.f64 y (pow.f64 x #s(literal -1/2 binary64)))
(pow.f64 x #s(literal -1/2 binary64))
(*.f64 y (-.f64 (sqrt.f64 x) (/.f64 x y)))
(-.f64 (sqrt.f64 x) (/.f64 x y))
(/.f64 x y)
(*.f64 (pow.f64 x #s(literal 1/4 binary64)) y)
Outputs
(-.f64 (exp.f64 (log1p.f64 (*.f64 y (sqrt.f64 x)))) #s(literal 1 binary64))
(pow.f64 (*.f64 y (sqrt.f64 x)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 y (sqrt.f64 x))) #s(literal 3 binary64))
(pow.f64 (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))))
(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 #s(literal 1 binary64) (-.f64 x (*.f64 y (sqrt.f64 x))))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 (sqrt.f64 x) y (-.f64 #s(literal 1 binary64) x)))) #s(literal 1 binary64))
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(exp.f64 (log.f64 (-.f64 (sqrt.f64 x) (/.f64 x y))))
(exp.f64 (*.f64 (log.f64 (-.f64 (sqrt.f64 x) (/.f64 x y))) #s(literal 1 binary64)))
(fma.f64 (pow.f64 x #s(literal 1/4 binary64)) (pow.f64 x #s(literal 1/4 binary64)) (/.f64 x (neg.f64 y)))
(fma.f64 #s(literal 1 binary64) (sqrt.f64 x) (/.f64 x (neg.f64 y)))
(fma.f64 (cbrt.f64 x) (cbrt.f64 (sqrt.f64 x)) (/.f64 x (neg.f64 y)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 x y))) #s(literal 1 binary64))
(*.f64 x (/.f64 #s(literal 1 binary64) y))
(*.f64 #s(literal 1 binary64) (/.f64 x y))
(*.f64 (sqrt.f64 x) (/.f64 (sqrt.f64 x) y))
(*.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (/.f64 #s(literal 1 binary64) y)))
(*.f64 (/.f64 x y) #s(literal 1 binary64))
(*.f64 (cbrt.f64 (/.f64 x y)) (pow.f64 (cbrt.f64 (/.f64 x y)) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 x y)) #s(literal 2 binary64)) (cbrt.f64 (/.f64 x y)))
(*.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (/.f64 (cbrt.f64 x) y))
(*.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (*.f64 (cbrt.f64 x) (/.f64 #s(literal 1 binary64) y)))
(*.f64 (sqrt.f64 (/.f64 x y)) (sqrt.f64 (/.f64 x y)))
(*.f64 (neg.f64 x) (/.f64 #s(literal 1 binary64) (neg.f64 y)))
(*.f64 (/.f64 #s(literal 1 binary64) y) x)
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (/.f64 x (cbrt.f64 y)))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 y)) (/.f64 x (sqrt.f64 y)))
(*.f64 (/.f64 (sqrt.f64 x) #s(literal 1 binary64)) (/.f64 (sqrt.f64 x) y))
(*.f64 (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (/.f64 (sqrt.f64 x) (cbrt.f64 y)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (cbrt.f64 x) y))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (cbrt.f64 (/.f64 x y)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (sqrt.f64 y)) (/.f64 (cbrt.f64 x) (sqrt.f64 y)))
(pow.f64 (/.f64 x y) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (/.f64 x y)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (/.f64 x y) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (/.f64 x y)) #s(literal 2 binary64))
(pow.f64 (/.f64 y x) #s(literal -1 binary64))
(neg.f64 (/.f64 x (neg.f64 y)))
(sqrt.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)))
(log.f64 (exp.f64 (/.f64 x y)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 x y))))
(cbrt.f64 (pow.f64 (/.f64 x y) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (/.f64 x y)))
(log1p.f64 (expm1.f64 (/.f64 x y)))
(exp.f64 (log.f64 (/.f64 x y)))
(exp.f64 (*.f64 (log.f64 (/.f64 x y)) #s(literal 1 binary64)))
(-.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 (sqrt.f64 x) (pow.f64 y #s(literal 2 binary64))))
(log.f64 (pow.f64 (exp.f64 (pow.f64 x #s(literal 1/4 binary64))) y))
(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)))

simplify184.0ms (2.5%)

Algorithm
egg-herbie
Rules
750×distribute-lft-in
567×fma-neg
286×distribute-lft-neg-in
264×distribute-rgt-neg-in
248×associate-*r*
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
052810996
1114410609
2396710468
Stop Event
node limit
Counts
390 → 315
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 #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 (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) (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))
(*.f64 (sqrt.f64 x) (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))
(*.f64 (sqrt.f64 x) (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 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 (/.f64 #s(literal 1 binary64) x)) y)
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y)
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y)
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y)
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y)
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y)
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y)
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y)
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y)
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y)
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y)
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y)
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y)
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y)
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y)
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y)
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y)
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y)
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y)
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) 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))))
(sqrt.f64 (/.f64 #s(literal 1 binary64) x))
(sqrt.f64 (/.f64 #s(literal 1 binary64) x))
(sqrt.f64 (/.f64 #s(literal 1 binary64) x))
(sqrt.f64 (/.f64 #s(literal 1 binary64) x))
(sqrt.f64 (/.f64 #s(literal 1 binary64) x))
(sqrt.f64 (/.f64 #s(literal 1 binary64) x))
(sqrt.f64 (/.f64 #s(literal 1 binary64) x))
(sqrt.f64 (/.f64 #s(literal 1 binary64) x))
(*.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 #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 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 y (-.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) y))))
(*.f64 x (*.f64 y (-.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) y))))
(*.f64 x (*.f64 y (-.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) y))))
(*.f64 x (*.f64 y (-.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) y))))
(*.f64 #s(literal -1 binary64) (*.f64 x (*.f64 y (+.f64 (*.f64 (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) y)))))
(*.f64 #s(literal -1 binary64) (*.f64 x (*.f64 y (+.f64 (*.f64 (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) y)))))
(*.f64 #s(literal -1 binary64) (*.f64 x (*.f64 y (+.f64 (*.f64 (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) y)))))
(*.f64 #s(literal -1 binary64) (*.f64 x (*.f64 y (+.f64 (*.f64 (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) y)))))
(sqrt.f64 x)
(+.f64 (sqrt.f64 x) (*.f64 #s(literal -1 binary64) (/.f64 x y)))
(+.f64 (sqrt.f64 x) (*.f64 #s(literal -1 binary64) (/.f64 x y)))
(+.f64 (sqrt.f64 x) (*.f64 #s(literal -1 binary64) (/.f64 x y)))
(*.f64 x (-.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) y)))
(*.f64 x (-.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) y)))
(*.f64 x (-.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) y)))
(*.f64 x (-.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) y)))
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 (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) y))))
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 (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) y))))
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 (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) y))))
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 (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) y))))
(*.f64 #s(literal -1 binary64) (/.f64 x y))
(/.f64 (-.f64 (*.f64 (sqrt.f64 x) y) x) y)
(/.f64 (-.f64 (*.f64 (sqrt.f64 x) y) x) y)
(/.f64 (-.f64 (*.f64 (sqrt.f64 x) y) x) y)
(sqrt.f64 x)
(+.f64 (sqrt.f64 x) (*.f64 #s(literal -1 binary64) (/.f64 x y)))
(+.f64 (sqrt.f64 x) (*.f64 #s(literal -1 binary64) (/.f64 x y)))
(+.f64 (sqrt.f64 x) (*.f64 #s(literal -1 binary64) (/.f64 x y)))
(sqrt.f64 x)
(+.f64 (sqrt.f64 x) (*.f64 #s(literal -1 binary64) (/.f64 x y)))
(+.f64 (sqrt.f64 x) (*.f64 #s(literal -1 binary64) (/.f64 x y)))
(+.f64 (sqrt.f64 x) (*.f64 #s(literal -1 binary64) (/.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)
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(*.f64 (-.f64 x (pow.f64 (/.f64 x y) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 x) (/.f64 x y))))
(*.f64 (+.f64 (pow.f64 x #s(literal 1/4 binary64)) (sqrt.f64 (/.f64 x y))) (-.f64 (pow.f64 x #s(literal 1/4 binary64)) (sqrt.f64 (/.f64 x y))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 x (+.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) (/.f64 (pow.f64 x #s(literal 3/2 binary64)) y))) (-.f64 (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 (/.f64 x y) #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (sqrt.f64 x) (/.f64 x y)) (-.f64 x (pow.f64 (/.f64 x y) #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 (/.f64 x y) #s(literal 3 binary64))) (+.f64 x (+.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) (/.f64 (pow.f64 x #s(literal 3/2 binary64)) y))))
(/.f64 (-.f64 x (pow.f64 (/.f64 x y) #s(literal 2 binary64))) (+.f64 (sqrt.f64 x) (/.f64 x y)))
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 (/.f64 x y) #s(literal 3 binary64)))) (neg.f64 (+.f64 x (+.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) (/.f64 (pow.f64 x #s(literal 3/2 binary64)) y)))))
(/.f64 (neg.f64 (-.f64 x (pow.f64 (/.f64 x y) #s(literal 2 binary64)))) (neg.f64 (+.f64 (sqrt.f64 x) (/.f64 x y))))
(/.f64 (+.f64 (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 (/.f64 x (neg.f64 y)) #s(literal 3 binary64))) (+.f64 x (-.f64 (*.f64 (/.f64 x (neg.f64 y)) (/.f64 x (neg.f64 y))) (*.f64 (sqrt.f64 x) (/.f64 x (neg.f64 y))))))
(/.f64 (-.f64 x (*.f64 (/.f64 x (neg.f64 y)) (/.f64 x (neg.f64 y)))) (-.f64 (sqrt.f64 x) (/.f64 x (neg.f64 y))))
(pow.f64 (-.f64 (sqrt.f64 x) (/.f64 x y)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (-.f64 (sqrt.f64 x) (/.f64 x y))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (-.f64 (sqrt.f64 x) (/.f64 x y)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (-.f64 (sqrt.f64 x) (/.f64 x y))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (-.f64 (sqrt.f64 x) (/.f64 x y)) #s(literal 2 binary64)))
(log.f64 (exp.f64 (-.f64 (sqrt.f64 x) (/.f64 x y))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (-.f64 (sqrt.f64 x) (/.f64 x y)))))
(cbrt.f64 (pow.f64 (-.f64 (sqrt.f64 x) (/.f64 x y)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (-.f64 (sqrt.f64 x) (/.f64 x y))))
(log1p.f64 (expm1.f64 (-.f64 (sqrt.f64 x) (/.f64 x y))))
(exp.f64 (log.f64 (-.f64 (sqrt.f64 x) (/.f64 x y))))
(exp.f64 (*.f64 (log.f64 (-.f64 (sqrt.f64 x) (/.f64 x y))) #s(literal 1 binary64)))
(fma.f64 (pow.f64 x #s(literal 1/4 binary64)) (pow.f64 x #s(literal 1/4 binary64)) (/.f64 x (neg.f64 y)))
(fma.f64 #s(literal 1 binary64) (sqrt.f64 x) (/.f64 x (neg.f64 y)))
(fma.f64 (cbrt.f64 x) (cbrt.f64 (sqrt.f64 x)) (/.f64 x (neg.f64 y)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 x y))) #s(literal 1 binary64))
(*.f64 x (/.f64 #s(literal 1 binary64) y))
(*.f64 #s(literal 1 binary64) (/.f64 x y))
(*.f64 (sqrt.f64 x) (/.f64 (sqrt.f64 x) y))
(*.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (/.f64 #s(literal 1 binary64) y)))
(*.f64 (/.f64 x y) #s(literal 1 binary64))
(*.f64 (cbrt.f64 (/.f64 x y)) (pow.f64 (cbrt.f64 (/.f64 x y)) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 x y)) #s(literal 2 binary64)) (cbrt.f64 (/.f64 x y)))
(*.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (/.f64 (cbrt.f64 x) y))
(*.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (*.f64 (cbrt.f64 x) (/.f64 #s(literal 1 binary64) y)))
(*.f64 (sqrt.f64 (/.f64 x y)) (sqrt.f64 (/.f64 x y)))
(*.f64 (neg.f64 x) (/.f64 #s(literal 1 binary64) (neg.f64 y)))
(*.f64 (/.f64 #s(literal 1 binary64) y) x)
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (/.f64 x (cbrt.f64 y)))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 y)) (/.f64 x (sqrt.f64 y)))
(*.f64 (/.f64 (sqrt.f64 x) #s(literal 1 binary64)) (/.f64 (sqrt.f64 x) y))
(*.f64 (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (/.f64 (sqrt.f64 x) (cbrt.f64 y)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (cbrt.f64 x) y))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (cbrt.f64 (/.f64 x y)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (sqrt.f64 y)) (/.f64 (cbrt.f64 x) (sqrt.f64 y)))
(pow.f64 (/.f64 x y) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (/.f64 x y)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (/.f64 x y) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (/.f64 x y)) #s(literal 2 binary64))
(pow.f64 (/.f64 y x) #s(literal -1 binary64))
(neg.f64 (/.f64 x (neg.f64 y)))
(sqrt.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)))
(log.f64 (exp.f64 (/.f64 x y)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 x y))))
(cbrt.f64 (pow.f64 (/.f64 x y) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (/.f64 x y)))
(log1p.f64 (expm1.f64 (/.f64 x y)))
(exp.f64 (log.f64 (/.f64 x y)))
(exp.f64 (*.f64 (log.f64 (/.f64 x y)) #s(literal 1 binary64)))
(-.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 (sqrt.f64 x) (pow.f64 y #s(literal 2 binary64))))
(log.f64 (pow.f64 (exp.f64 (pow.f64 x #s(literal 1/4 binary64))) y))
(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)))
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 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) y))
(fma.f64 y (sqrt.f64 x) #s(literal 1 binary64))
(fma.f64 (sqrt.f64 x) y #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 (sqrt.f64 x) y)))
(-.f64 (fma.f64 y (sqrt.f64 x) #s(literal 1 binary64)) x)
(-.f64 (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64)) x)
(+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 (sqrt.f64 x) y)))
(-.f64 (fma.f64 y (sqrt.f64 x) #s(literal 1 binary64)) x)
(-.f64 (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64)) x)
(+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 (sqrt.f64 x) y)))
(-.f64 (fma.f64 y (sqrt.f64 x) #s(literal 1 binary64)) x)
(-.f64 (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64)) x)
(*.f64 x (-.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y) #s(literal 1 binary64)))
(*.f64 x (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y #s(literal -1 binary64)))
(*.f64 x (fma.f64 y (sqrt.f64 (/.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 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y (/.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64)))
(*.f64 x (+.f64 #s(literal -1 binary64) (fma.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) x))))
(*.f64 x (fma.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (+.f64 (/.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 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y (/.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64)))
(*.f64 x (+.f64 #s(literal -1 binary64) (fma.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) x))))
(*.f64 x (fma.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (+.f64 (/.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 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y (/.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64)))
(*.f64 x (+.f64 #s(literal -1 binary64) (fma.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) x))))
(*.f64 x (fma.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (+.f64 (/.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 x (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y #s(literal -1 binary64)))
(*.f64 x (fma.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1 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 (neg.f64 x) (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (/.f64 #s(literal 1 binary64) x))))
(*.f64 (+.f64 (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 #s(literal 1 binary64) (*.f64 x (fma.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1 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 (neg.f64 x) (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (/.f64 #s(literal 1 binary64) x))))
(*.f64 (+.f64 (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 #s(literal 1 binary64) (*.f64 x (fma.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1 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 (neg.f64 x) (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (/.f64 #s(literal 1 binary64) x))))
(*.f64 (+.f64 (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 #s(literal 1 binary64) (*.f64 x (fma.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64))))
(-.f64 #s(literal 1 binary64) x)
(-.f64 (+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) y)) x)
(-.f64 (fma.f64 y (sqrt.f64 x) #s(literal 1 binary64)) x)
(-.f64 (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64)) x)
(-.f64 (+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) y)) x)
(-.f64 (fma.f64 y (sqrt.f64 x) #s(literal 1 binary64)) x)
(-.f64 (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64)) x)
(-.f64 (+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) y)) x)
(-.f64 (fma.f64 y (sqrt.f64 x) #s(literal 1 binary64)) x)
(-.f64 (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64)) x)
(*.f64 (sqrt.f64 x) y)
(*.f64 y (-.f64 (+.f64 (sqrt.f64 x) (/.f64 #s(literal 1 binary64) y)) (/.f64 x y)))
(-.f64 (fma.f64 y (sqrt.f64 x) #s(literal 1 binary64)) x)
(-.f64 (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64)) x)
(*.f64 y (-.f64 (+.f64 (sqrt.f64 x) (/.f64 #s(literal 1 binary64) y)) (/.f64 x y)))
(-.f64 (fma.f64 y (sqrt.f64 x) #s(literal 1 binary64)) x)
(-.f64 (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64)) x)
(*.f64 y (-.f64 (+.f64 (sqrt.f64 x) (/.f64 #s(literal 1 binary64) y)) (/.f64 x y)))
(-.f64 (fma.f64 y (sqrt.f64 x) #s(literal 1 binary64)) x)
(-.f64 (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64)) x)
(*.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 (fma.f64 y (sqrt.f64 x) #s(literal 1 binary64)) x)
(-.f64 (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64)) x)
(*.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 (fma.f64 y (sqrt.f64 x) #s(literal 1 binary64)) x)
(-.f64 (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64)) x)
(*.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 (fma.f64 y (sqrt.f64 x) #s(literal 1 binary64)) x)
(-.f64 (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64)) x)
(*.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) (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))
(*.f64 y (neg.f64 (sqrt.f64 x)))
(*.f64 (sqrt.f64 x) (neg.f64 y))
(*.f64 (sqrt.f64 x) (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))
(*.f64 y (neg.f64 (sqrt.f64 x)))
(*.f64 (sqrt.f64 x) (neg.f64 y))
(*.f64 (sqrt.f64 x) (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))
(*.f64 y (neg.f64 (sqrt.f64 x)))
(*.f64 (sqrt.f64 x) (neg.f64 y))
(*.f64 (sqrt.f64 x) (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))
(*.f64 y (neg.f64 (sqrt.f64 x)))
(*.f64 (sqrt.f64 x) (neg.f64 y))
(*.f64 (sqrt.f64 x) y)
(*.f64 (sqrt.f64 x) y)
(*.f64 (sqrt.f64 x) y)
(*.f64 (sqrt.f64 x) y)
(*.f64 (sqrt.f64 x) y)
(*.f64 (sqrt.f64 x) y)
(*.f64 (sqrt.f64 x) y)
(*.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 (/.f64 #s(literal 1 binary64) x)) y)
(*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y)
(*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y)
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(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 x (+.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) (/.f64 (pow.f64 x #s(literal 3/2 binary64)) y))) (-.f64 (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 (/.f64 x y) #s(literal 3 binary64)))))
(/.f64 (-.f64 (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 (/.f64 x y) #s(literal 3 binary64))) (+.f64 x (+.f64 (/.f64 (pow.f64 x #s(literal 3/2 binary64)) y) (pow.f64 (/.f64 x y) #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 (/.f64 x y) #s(literal 3 binary64))) (+.f64 (pow.f64 (/.f64 y x) #s(literal -2 binary64)) (+.f64 (/.f64 (pow.f64 x #s(literal 3/2 binary64)) y) x)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (sqrt.f64 x) (/.f64 x y)) (-.f64 x (pow.f64 (/.f64 x y) #s(literal 2 binary64)))))
(*.f64 (-.f64 x (pow.f64 (/.f64 x y) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 x) (/.f64 x y))))
(/.f64 (-.f64 x (pow.f64 (/.f64 x y) #s(literal 2 binary64))) (+.f64 (sqrt.f64 x) (/.f64 x y)))
(/.f64 (-.f64 x (pow.f64 (/.f64 y x) #s(literal -2 binary64))) (+.f64 (sqrt.f64 x) (/.f64 x y)))
(/.f64 (-.f64 (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 (/.f64 x y) #s(literal 3 binary64))) (+.f64 x (+.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) (/.f64 (pow.f64 x #s(literal 3/2 binary64)) y))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 x (+.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) (/.f64 (pow.f64 x #s(literal 3/2 binary64)) y))) (-.f64 (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 (/.f64 x y) #s(literal 3 binary64)))))
(/.f64 (-.f64 (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 (/.f64 x y) #s(literal 3 binary64))) (+.f64 x (+.f64 (/.f64 (pow.f64 x #s(literal 3/2 binary64)) y) (pow.f64 (/.f64 x y) #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 (/.f64 x y) #s(literal 3 binary64))) (+.f64 (pow.f64 (/.f64 y x) #s(literal -2 binary64)) (+.f64 (/.f64 (pow.f64 x #s(literal 3/2 binary64)) y) x)))
(/.f64 (-.f64 x (pow.f64 (/.f64 x y) #s(literal 2 binary64))) (+.f64 (sqrt.f64 x) (/.f64 x y)))
(*.f64 (-.f64 x (pow.f64 (/.f64 x y) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 x) (/.f64 x y))))
(/.f64 (-.f64 x (pow.f64 (/.f64 y x) #s(literal -2 binary64))) (+.f64 (sqrt.f64 x) (/.f64 x y)))
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 (/.f64 x y) #s(literal 3 binary64)))) (neg.f64 (+.f64 x (+.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) (/.f64 (pow.f64 x #s(literal 3/2 binary64)) y)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 x (+.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) (/.f64 (pow.f64 x #s(literal 3/2 binary64)) y))) (-.f64 (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 (/.f64 x y) #s(literal 3 binary64)))))
(/.f64 (-.f64 (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 (/.f64 x y) #s(literal 3 binary64))) (+.f64 x (+.f64 (/.f64 (pow.f64 x #s(literal 3/2 binary64)) y) (pow.f64 (/.f64 x y) #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 (/.f64 x y) #s(literal 3 binary64))) (+.f64 (pow.f64 (/.f64 y x) #s(literal -2 binary64)) (+.f64 (/.f64 (pow.f64 x #s(literal 3/2 binary64)) y) x)))
(/.f64 (neg.f64 (-.f64 x (pow.f64 (/.f64 x y) #s(literal 2 binary64)))) (neg.f64 (+.f64 (sqrt.f64 x) (/.f64 x y))))
(*.f64 (-.f64 x (pow.f64 (/.f64 x y) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 x) (/.f64 x y))))
(/.f64 (-.f64 x (pow.f64 (/.f64 x y) #s(literal 2 binary64))) (+.f64 (sqrt.f64 x) (/.f64 x y)))
(/.f64 (-.f64 x (pow.f64 (/.f64 y x) #s(literal -2 binary64))) (+.f64 (sqrt.f64 x) (/.f64 x y)))
(/.f64 (+.f64 (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 (/.f64 x (neg.f64 y)) #s(literal 3 binary64))) (+.f64 x (-.f64 (*.f64 (/.f64 x (neg.f64 y)) (/.f64 x (neg.f64 y))) (*.f64 (sqrt.f64 x) (/.f64 x (neg.f64 y))))))
(/.f64 (+.f64 (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 (neg.f64 (/.f64 x y)) #s(literal 3 binary64))) (+.f64 x (*.f64 (neg.f64 (/.f64 x y)) (-.f64 (neg.f64 (/.f64 x y)) (sqrt.f64 x)))))
(/.f64 (-.f64 (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 (/.f64 x y) #s(literal 3 binary64))) (+.f64 x (+.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) (/.f64 (pow.f64 (sqrt.f64 x) #s(literal 3 binary64)) y))))
(/.f64 (-.f64 (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 (/.f64 x y) #s(literal 3 binary64))) (+.f64 x (*.f64 (/.f64 x y) (+.f64 (sqrt.f64 x) (/.f64 x y)))))
(/.f64 (-.f64 x (*.f64 (/.f64 x (neg.f64 y)) (/.f64 x (neg.f64 y)))) (-.f64 (sqrt.f64 x) (/.f64 x (neg.f64 y))))
(*.f64 (-.f64 x (pow.f64 (/.f64 x y) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 x) (/.f64 x y))))
(/.f64 (-.f64 x (pow.f64 (/.f64 x y) #s(literal 2 binary64))) (+.f64 (sqrt.f64 x) (/.f64 x y)))
(/.f64 (-.f64 x (pow.f64 (/.f64 y x) #s(literal -2 binary64))) (+.f64 (sqrt.f64 x) (/.f64 x y)))
(pow.f64 (-.f64 (sqrt.f64 x) (/.f64 x y)) #s(literal 1 binary64))
(-.f64 (sqrt.f64 x) (/.f64 x y))
(pow.f64 (cbrt.f64 (-.f64 (sqrt.f64 x) (/.f64 x y))) #s(literal 3 binary64))
(-.f64 (sqrt.f64 x) (/.f64 x y))
(pow.f64 (pow.f64 (-.f64 (sqrt.f64 x) (/.f64 x y)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(-.f64 (sqrt.f64 x) (/.f64 x y))
(pow.f64 (sqrt.f64 (-.f64 (sqrt.f64 x) (/.f64 x y))) #s(literal 2 binary64))
(-.f64 (sqrt.f64 x) (/.f64 x y))
(sqrt.f64 (pow.f64 (-.f64 (sqrt.f64 x) (/.f64 x y)) #s(literal 2 binary64)))
(-.f64 (sqrt.f64 x) (/.f64 x y))
(log.f64 (exp.f64 (-.f64 (sqrt.f64 x) (/.f64 x y))))
(-.f64 (sqrt.f64 x) (/.f64 x y))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (-.f64 (sqrt.f64 x) (/.f64 x y)))))
(-.f64 (sqrt.f64 x) (/.f64 x y))
(cbrt.f64 (pow.f64 (-.f64 (sqrt.f64 x) (/.f64 x y)) #s(literal 3 binary64)))
(-.f64 (sqrt.f64 x) (/.f64 x y))
(expm1.f64 (log1p.f64 (-.f64 (sqrt.f64 x) (/.f64 x y))))
(log1p.f64 (expm1.f64 (-.f64 (sqrt.f64 x) (/.f64 x y))))
(-.f64 (sqrt.f64 x) (/.f64 x y))
(exp.f64 (log.f64 (-.f64 (sqrt.f64 x) (/.f64 x y))))
(-.f64 (sqrt.f64 x) (/.f64 x y))
(exp.f64 (*.f64 (log.f64 (-.f64 (sqrt.f64 x) (/.f64 x y))) #s(literal 1 binary64)))
(-.f64 (sqrt.f64 x) (/.f64 x y))
(fma.f64 (pow.f64 x #s(literal 1/4 binary64)) (pow.f64 x #s(literal 1/4 binary64)) (/.f64 x (neg.f64 y)))
(-.f64 (sqrt.f64 x) (/.f64 x y))
(fma.f64 #s(literal 1 binary64) (sqrt.f64 x) (/.f64 x (neg.f64 y)))
(-.f64 (sqrt.f64 x) (/.f64 x y))
(fma.f64 (cbrt.f64 x) (cbrt.f64 (sqrt.f64 x)) (/.f64 x (neg.f64 y)))
(fma.f64 (cbrt.f64 x) (cbrt.f64 (sqrt.f64 x)) (neg.f64 (/.f64 x y)))
(-.f64 (*.f64 (cbrt.f64 x) (cbrt.f64 (sqrt.f64 x))) (/.f64 x y))
(-.f64 (exp.f64 (log1p.f64 (/.f64 x y))) #s(literal 1 binary64))
(expm1.f64 (log1p.f64 (/.f64 x y)))
(*.f64 x (/.f64 #s(literal 1 binary64) y))
(/.f64 x y)
(*.f64 #s(literal 1 binary64) (/.f64 x y))
(/.f64 x y)
(*.f64 (sqrt.f64 x) (/.f64 (sqrt.f64 x) y))
(/.f64 x y)
(*.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (/.f64 #s(literal 1 binary64) y)))
(/.f64 x y)
(*.f64 (/.f64 x y) #s(literal 1 binary64))
(/.f64 x y)
(*.f64 (cbrt.f64 (/.f64 x y)) (pow.f64 (cbrt.f64 (/.f64 x y)) #s(literal 2 binary64)))
(/.f64 x y)
(*.f64 (pow.f64 (cbrt.f64 (/.f64 x y)) #s(literal 2 binary64)) (cbrt.f64 (/.f64 x y)))
(/.f64 x y)
(*.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (/.f64 (cbrt.f64 x) y))
(/.f64 x y)
(*.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (*.f64 (cbrt.f64 x) (/.f64 #s(literal 1 binary64) y)))
(/.f64 x y)
(*.f64 (sqrt.f64 (/.f64 x y)) (sqrt.f64 (/.f64 x y)))
(/.f64 x y)
(*.f64 (neg.f64 x) (/.f64 #s(literal 1 binary64) (neg.f64 y)))
(/.f64 x y)
(*.f64 (/.f64 #s(literal 1 binary64) y) x)
(/.f64 x y)
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (/.f64 x (cbrt.f64 y)))
(/.f64 (/.f64 x (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (cbrt.f64 y))
(/.f64 (/.f64 x (cbrt.f64 y)) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 y)) (/.f64 x (sqrt.f64 y)))
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 y)) x) (sqrt.f64 y))
(/.f64 (/.f64 x (sqrt.f64 y)) (sqrt.f64 y))
(*.f64 (/.f64 (sqrt.f64 x) #s(literal 1 binary64)) (/.f64 (sqrt.f64 x) y))
(/.f64 x y)
(*.f64 (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (/.f64 (sqrt.f64 x) (cbrt.f64 y)))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (/.f64 x (cbrt.f64 y)))
(/.f64 (/.f64 x (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (cbrt.f64 y))
(/.f64 (/.f64 x (cbrt.f64 y)) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (cbrt.f64 x) y))
(/.f64 x y)
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (cbrt.f64 (/.f64 x y)))
(*.f64 (cbrt.f64 (/.f64 x y)) (/.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (sqrt.f64 y)) (/.f64 (cbrt.f64 x) (sqrt.f64 y)))
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 y)) x) (sqrt.f64 y))
(/.f64 (/.f64 x (sqrt.f64 y)) (sqrt.f64 y))
(pow.f64 (/.f64 x y) #s(literal 1 binary64))
(/.f64 x y)
(pow.f64 (cbrt.f64 (/.f64 x y)) #s(literal 3 binary64))
(/.f64 x y)
(pow.f64 (pow.f64 (/.f64 x y) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(/.f64 x y)
(pow.f64 (sqrt.f64 (/.f64 x y)) #s(literal 2 binary64))
(/.f64 x y)
(pow.f64 (/.f64 y x) #s(literal -1 binary64))
(/.f64 x y)
(neg.f64 (/.f64 x (neg.f64 y)))
(/.f64 x y)
(sqrt.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)))
(/.f64 x y)
(log.f64 (exp.f64 (/.f64 x y)))
(/.f64 x y)
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 x y))))
(/.f64 x y)
(cbrt.f64 (pow.f64 (/.f64 x y) #s(literal 3 binary64)))
(/.f64 x y)
(expm1.f64 (log1p.f64 (/.f64 x y)))
(log1p.f64 (expm1.f64 (/.f64 x y)))
(/.f64 x y)
(exp.f64 (log.f64 (/.f64 x y)))
(/.f64 x y)
(exp.f64 (*.f64 (log.f64 (/.f64 x y)) #s(literal 1 binary64)))
(/.f64 x y)
(-.f64 (exp.f64 (log1p.f64 (*.f64 (pow.f64 x #s(literal 1/4 binary64)) y))) #s(literal 1 binary64))
(expm1.f64 (log1p.f64 (*.f64 y (pow.f64 x #s(literal 1/4 binary64)))))
(pow.f64 (*.f64 (pow.f64 x #s(literal 1/4 binary64)) y) #s(literal 1 binary64))
(*.f64 y (pow.f64 x #s(literal 1/4 binary64)))
(pow.f64 (cbrt.f64 (*.f64 (pow.f64 x #s(literal 1/4 binary64)) y)) #s(literal 3 binary64))
(*.f64 y (pow.f64 x #s(literal 1/4 binary64)))
(pow.f64 (pow.f64 (*.f64 (pow.f64 x #s(literal 1/4 binary64)) y) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(*.f64 y (pow.f64 x #s(literal 1/4 binary64)))
(pow.f64 (*.f64 (sqrt.f64 y) (pow.f64 x #s(literal 1/8 binary64))) #s(literal 2 binary64))
(*.f64 y (pow.f64 x #s(literal 1/4 binary64)))
(sqrt.f64 (*.f64 (sqrt.f64 x) (pow.f64 y #s(literal 2 binary64))))
(log.f64 (pow.f64 (exp.f64 (pow.f64 x #s(literal 1/4 binary64))) y))
(*.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))))
(*.f64 y (pow.f64 x #s(literal 1/4 binary64)))
(cbrt.f64 (pow.f64 (*.f64 (pow.f64 x #s(literal 1/4 binary64)) y) #s(literal 3 binary64)))
(*.f64 y (pow.f64 x #s(literal 1/4 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))))
(*.f64 y (pow.f64 x #s(literal 1/4 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))))
(*.f64 y (pow.f64 x #s(literal 1/4 binary64)))
(expm1.f64 (log1p.f64 (*.f64 (pow.f64 x #s(literal 1/4 binary64)) y)))
(expm1.f64 (log1p.f64 (*.f64 y (pow.f64 x #s(literal 1/4 binary64)))))
(log1p.f64 (expm1.f64 (*.f64 (pow.f64 x #s(literal 1/4 binary64)) y)))
(*.f64 y (pow.f64 x #s(literal 1/4 binary64)))
(exp.f64 (log.f64 (*.f64 (pow.f64 x #s(literal 1/4 binary64)) y)))
(*.f64 y (pow.f64 x #s(literal 1/4 binary64)))
(exp.f64 (*.f64 (log.f64 (*.f64 (pow.f64 x #s(literal 1/4 binary64)) y)) #s(literal 1 binary64)))
(*.f64 y (pow.f64 x #s(literal 1/4 binary64)))

eval112.0ms (1.5%)

Compiler

Compiled 8529 to 1603 computations (81.2% saved)

prune157.0ms (2.1%)

Pruning

17 alts after pruning (11 fresh and 6 done)

PrunedKeptTotal
New5847591
Fresh347
Picked145
Done022
Total58817605
Accuracy
100.0%
Counts
605 → 17
Alt Table
Click to see full alt table
StatusAccuracyProgram
29.9%
(pow.f64 (*.f64 (pow.f64 x #s(literal -1/2 binary64)) (*.f64 x y)) #s(literal 1 binary64))
50.4%
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (neg.f64 x) (neg.f64 x))) (-.f64 #s(literal 1 binary64) (neg.f64 x)))
69.0%
(-.f64 #s(literal 1 binary64) x)
69.0%
(+.f64 (-.f64 #s(literal 2 binary64) x) #s(literal -1 binary64))
99.9%
(+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (sqrt.f64 x)))
79.9%
(+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (cbrt.f64 (pow.f64 x #s(literal 3/2 binary64)))))
67.8%
(+.f64 (neg.f64 x) (*.f64 y (sqrt.f64 x)))
62.2%
(+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) y))
37.9%
(*.f64 y (/.f64 (-.f64 x (*.f64 (/.f64 x (neg.f64 y)) (/.f64 x (neg.f64 y)))) (-.f64 (sqrt.f64 x) (/.f64 x (neg.f64 y)))))
24.6%
(*.f64 y (/.f64 x (neg.f64 y)))
54.6%
(*.f64 y (-.f64 (sqrt.f64 x) (/.f64 x y)))
32.1%
(*.f64 y (sqrt.f64 x))
28.0%
(*.f64 x (/.f64 y (sqrt.f64 x)))
68.6%
(*.f64 x (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)))
28.0%
(*.f64 x (*.f64 y (pow.f64 x #s(literal -1/2 binary64))))
37.8%
(neg.f64 x)
32.2%
#s(literal 1 binary64)
Compiler

Compiled 267 to 172 computations (35.6% saved)

simplify113.0ms (1.5%)

Algorithm
egg-herbie
Localize:

Found 15 expressions of interest:

NewMetricScoreProgram
cost-diff0
(sqrt.f64 x)
cost-diff0
(/.f64 y (sqrt.f64 x))
cost-diff0
(*.f64 x (/.f64 y (sqrt.f64 x)))
cost-diff64
(-.f64 #s(literal 1 binary64) (neg.f64 x))
cost-diff128
(*.f64 (neg.f64 x) (neg.f64 x))
cost-diff128
(-.f64 #s(literal 1 binary64) (*.f64 (neg.f64 x) (neg.f64 x)))
cost-diff576
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (neg.f64 x) (neg.f64 x))) (-.f64 #s(literal 1 binary64) (neg.f64 x)))
cost-diff0
(neg.f64 y)
cost-diff0
(/.f64 x (neg.f64 y))
cost-diff256
(*.f64 y (/.f64 x (neg.f64 y)))
cost-diff0
(neg.f64 x)
cost-diff0
(pow.f64 x #s(literal 3/2 binary64))
cost-diff0
(cbrt.f64 (pow.f64 x #s(literal 3/2 binary64)))
cost-diff0
(*.f64 y (cbrt.f64 (pow.f64 x #s(literal 3/2 binary64))))
cost-diff0
(-.f64 #s(literal 1 binary64) x)
Rules
720×sub-neg
557×div-sub
512×fma-neg
456×fma-define
259×unsub-neg
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
026286
164278
2132278
3332278
4865278
52654278
64653278
76211278
87822278
Stop Event
node limit
Calls
Call 1
Inputs
(+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (cbrt.f64 (pow.f64 x #s(literal 3/2 binary64)))))
(-.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
x
(*.f64 y (cbrt.f64 (pow.f64 x #s(literal 3/2 binary64))))
y
(cbrt.f64 (pow.f64 x #s(literal 3/2 binary64)))
(pow.f64 x #s(literal 3/2 binary64))
#s(literal 3/2 binary64)
(neg.f64 x)
x
(*.f64 y (/.f64 x (neg.f64 y)))
y
(/.f64 x (neg.f64 y))
x
(neg.f64 y)
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (neg.f64 x) (neg.f64 x))) (-.f64 #s(literal 1 binary64) (neg.f64 x)))
(-.f64 #s(literal 1 binary64) (*.f64 (neg.f64 x) (neg.f64 x)))
#s(literal 1 binary64)
(*.f64 (neg.f64 x) (neg.f64 x))
(neg.f64 x)
x
(-.f64 #s(literal 1 binary64) (neg.f64 x))
(*.f64 x (/.f64 y (sqrt.f64 x)))
x
(/.f64 y (sqrt.f64 x))
y
(sqrt.f64 x)
Outputs
(+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (cbrt.f64 (pow.f64 x #s(literal 3/2 binary64)))))
(fma.f64 y (cbrt.f64 (pow.f64 x #s(literal 3/2 binary64))) (-.f64 #s(literal 1 binary64) x))
(-.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
x
(*.f64 y (cbrt.f64 (pow.f64 x #s(literal 3/2 binary64))))
y
(cbrt.f64 (pow.f64 x #s(literal 3/2 binary64)))
(pow.f64 x #s(literal 3/2 binary64))
#s(literal 3/2 binary64)
(neg.f64 x)
x
(*.f64 y (/.f64 x (neg.f64 y)))
(neg.f64 x)
y
(/.f64 x (neg.f64 y))
(/.f64 (neg.f64 x) y)
x
(neg.f64 y)
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (neg.f64 x) (neg.f64 x))) (-.f64 #s(literal 1 binary64) (neg.f64 x)))
(-.f64 #s(literal 1 binary64) x)
(-.f64 #s(literal 1 binary64) (*.f64 (neg.f64 x) (neg.f64 x)))
(-.f64 #s(literal 1 binary64) (*.f64 x x))
#s(literal 1 binary64)
(*.f64 (neg.f64 x) (neg.f64 x))
(*.f64 x x)
(neg.f64 x)
x
(-.f64 #s(literal 1 binary64) (neg.f64 x))
(+.f64 #s(literal 1 binary64) x)
(*.f64 x (/.f64 y (sqrt.f64 x)))
x
(/.f64 y (sqrt.f64 x))
y
(sqrt.f64 x)

localize120.0ms (1.6%)

Localize:

Found 15 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(sqrt.f64 x)
accuracy99.6%
(/.f64 y (sqrt.f64 x))
accuracy89.7%
(*.f64 x (/.f64 y (sqrt.f64 x)))
accuracy100.0%
(-.f64 #s(literal 1 binary64) (neg.f64 x))
accuracy100.0%
(*.f64 (neg.f64 x) (neg.f64 x))
accuracy100.0%
(neg.f64 x)
accuracy73.8%
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (neg.f64 x) (neg.f64 x))) (-.f64 #s(literal 1 binary64) (neg.f64 x)))
accuracy100.0%
(/.f64 x (neg.f64 y))
accuracy100.0%
(neg.f64 y)
accuracy77.5%
(*.f64 y (/.f64 x (neg.f64 y)))
accuracy100.0%
(neg.f64 x)
accuracy100.0%
(-.f64 #s(literal 1 binary64) x)
accuracy100.0%
(+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (cbrt.f64 (pow.f64 x #s(literal 3/2 binary64)))))
accuracy99.6%
(*.f64 y (cbrt.f64 (pow.f64 x #s(literal 3/2 binary64))))
accuracy68.3%
(cbrt.f64 (pow.f64 x #s(literal 3/2 binary64)))
Results
93.0ms256×0valid
Compiler

Compiled 96 to 21 computations (78.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 65.0ms
ival-pow: 37.0ms (57% of total)
ival-mult: 10.0ms (15.4% of total)
ival-div: 5.0ms (7.7% of total)
ival-sub: 4.0ms (6.2% of total)
ival-cbrt: 2.0ms (3.1% of total)
ival-sqrt: 2.0ms (3.1% of total)
ival-neg: 2.0ms (3.1% of total)
ival-add: 1.0ms (1.5% of total)
const: 1.0ms (1.5% of total)
backward-pass: 0.0ms (0% of total)

series26.0ms (0.4%)

Counts
14 → 240
Calls
Call 1
Inputs
#<alt (*.f64 y (cbrt.f64 (pow.f64 x #s(literal 3/2 binary64))))>
#<alt (cbrt.f64 (pow.f64 x #s(literal 3/2 binary64)))>
#<alt (pow.f64 x #s(literal 3/2 binary64))>
#<alt (neg.f64 x)>
#<alt (*.f64 y (/.f64 x (neg.f64 y)))>
#<alt (/.f64 x (neg.f64 y))>
#<alt (neg.f64 y)>
#<alt (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (neg.f64 x) (neg.f64 x))) (-.f64 #s(literal 1 binary64) (neg.f64 x)))>
#<alt (-.f64 #s(literal 1 binary64) (*.f64 (neg.f64 x) (neg.f64 x)))>
#<alt (*.f64 (neg.f64 x) (neg.f64 x))>
#<alt (-.f64 #s(literal 1 binary64) (neg.f64 x))>
#<alt (*.f64 x (/.f64 y (sqrt.f64 x)))>
#<alt (/.f64 y (sqrt.f64 x))>
#<alt (+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (cbrt.f64 (pow.f64 x #s(literal 3/2 binary64)))))>
Outputs
#<alt (*.f64 (sqrt.f64 x) y)>
#<alt (*.f64 (sqrt.f64 x) y)>
#<alt (*.f64 (sqrt.f64 x) y)>
#<alt (*.f64 (sqrt.f64 x) y)>
#<alt (*.f64 (sqrt.f64 x) y)>
#<alt (*.f64 (sqrt.f64 x) y)>
#<alt (*.f64 (sqrt.f64 x) y)>
#<alt (*.f64 (sqrt.f64 x) y)>
#<alt (*.f64 (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 (cbrt.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 x) (*.f64 y (cbrt.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 x) (*.f64 y (cbrt.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 x) (*.f64 y (cbrt.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64))))))>
#<alt (sqrt.f64 x)>
#<alt (sqrt.f64 x)>
#<alt (sqrt.f64 x)>
#<alt (sqrt.f64 x)>
#<alt (sqrt.f64 x)>
#<alt (sqrt.f64 x)>
#<alt (sqrt.f64 x)>
#<alt (sqrt.f64 x)>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 x) (cbrt.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 x) (cbrt.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 x) (cbrt.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 x) (cbrt.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64)))))>
#<alt (sqrt.f64 (pow.f64 x #s(literal 3 binary64)))>
#<alt (sqrt.f64 (pow.f64 x #s(literal 3 binary64)))>
#<alt (sqrt.f64 (pow.f64 x #s(literal 3 binary64)))>
#<alt (sqrt.f64 (pow.f64 x #s(literal 3 binary64)))>
#<alt (sqrt.f64 (pow.f64 x #s(literal 3 binary64)))>
#<alt (sqrt.f64 (pow.f64 x #s(literal 3 binary64)))>
#<alt (sqrt.f64 (pow.f64 x #s(literal 3 binary64)))>
#<alt (sqrt.f64 (pow.f64 x #s(literal 3 binary64)))>
#<alt (*.f64 (sqrt.f64 (pow.f64 x #s(literal 3 binary64))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))>
#<alt (*.f64 (sqrt.f64 (pow.f64 x #s(literal 3 binary64))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))>
#<alt (*.f64 (sqrt.f64 (pow.f64 x #s(literal 3 binary64))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))>
#<alt (*.f64 (sqrt.f64 (pow.f64 x #s(literal 3 binary64))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal -1 binary64) x)>
#<alt (*.f64 #s(literal -1 binary64) x)>
#<alt (*.f64 #s(literal -1 binary64) x)>
#<alt (*.f64 #s(literal -1 binary64) x)>
#<alt (*.f64 #s(literal -1 binary64) x)>
#<alt (*.f64 #s(literal -1 binary64) x)>
#<alt (*.f64 #s(literal -1 binary64) x)>
#<alt (*.f64 #s(literal -1 binary64) x)>
#<alt (*.f64 #s(literal -1 binary64) x)>
#<alt (*.f64 #s(literal -1 binary64) x)>
#<alt (*.f64 #s(literal -1 binary64) x)>
#<alt (*.f64 #s(literal -1 binary64) x)>
#<alt (*.f64 #s(literal -1 binary64) x)>
#<alt (*.f64 #s(literal -1 binary64) x)>
#<alt (*.f64 #s(literal -1 binary64) x)>
#<alt (*.f64 #s(literal -1 binary64) x)>
#<alt (*.f64 #s(literal -1 binary64) x)>
#<alt (*.f64 #s(literal -1 binary64) x)>
#<alt (*.f64 #s(literal -1 binary64) x)>
#<alt (*.f64 #s(literal -1 binary64) x)>
#<alt (*.f64 #s(literal -1 binary64) x)>
#<alt (*.f64 #s(literal -1 binary64) x)>
#<alt (*.f64 #s(literal -1 binary64) x)>
#<alt (*.f64 #s(literal -1 binary64) x)>
#<alt (*.f64 #s(literal -1 binary64) x)>
#<alt (*.f64 #s(literal -1 binary64) x)>
#<alt (*.f64 #s(literal -1 binary64) x)>
#<alt (*.f64 #s(literal -1 binary64) x)>
#<alt (*.f64 #s(literal -1 binary64) x)>
#<alt (*.f64 #s(literal -1 binary64) x)>
#<alt (*.f64 #s(literal -1 binary64) x)>
#<alt (*.f64 #s(literal -1 binary64) x)>
#<alt (*.f64 #s(literal -1 binary64) x)>
#<alt (*.f64 #s(literal -1 binary64) x)>
#<alt (*.f64 #s(literal -1 binary64) x)>
#<alt (*.f64 #s(literal -1 binary64) x)>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 x y))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 x y))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 x y))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 x y))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 x y))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 x y))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 x y))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 x y))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 x y))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 x y))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 x y))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 x y))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 x y))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 x y))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 x y))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 x y))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 x y))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 x y))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 x y))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 x y))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 x y))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 x y))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 x y))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 x y))>
#<alt (*.f64 #s(literal -1 binary64) y)>
#<alt (*.f64 #s(literal -1 binary64) y)>
#<alt (*.f64 #s(literal -1 binary64) y)>
#<alt (*.f64 #s(literal -1 binary64) y)>
#<alt (*.f64 #s(literal -1 binary64) y)>
#<alt (*.f64 #s(literal -1 binary64) y)>
#<alt (*.f64 #s(literal -1 binary64) y)>
#<alt (*.f64 #s(literal -1 binary64) y)>
#<alt (*.f64 #s(literal -1 binary64) y)>
#<alt (*.f64 #s(literal -1 binary64) y)>
#<alt (*.f64 #s(literal -1 binary64) y)>
#<alt (*.f64 #s(literal -1 binary64) y)>
#<alt #s(literal 1 binary64)>
#<alt (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) x))>
#<alt (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) x))>
#<alt (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) x))>
#<alt (*.f64 #s(literal -1 binary64) x)>
#<alt (*.f64 x (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)))>
#<alt (*.f64 x (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)))>
#<alt (*.f64 x (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)))>
#<alt (*.f64 #s(literal -1 binary64) x)>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))))>
#<alt #s(literal 1 binary64)>
#<alt (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 2 binary64))))>
#<alt (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 2 binary64))))>
#<alt (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1 binary64)))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1 binary64)))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1 binary64)))>
#<alt (*.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1 binary64)))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1 binary64)))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1 binary64)))>
#<alt (pow.f64 x #s(literal 2 binary64))>
#<alt (pow.f64 x #s(literal 2 binary64))>
#<alt (pow.f64 x #s(literal 2 binary64))>
#<alt (pow.f64 x #s(literal 2 binary64))>
#<alt (pow.f64 x #s(literal 2 binary64))>
#<alt (pow.f64 x #s(literal 2 binary64))>
#<alt (pow.f64 x #s(literal 2 binary64))>
#<alt (pow.f64 x #s(literal 2 binary64))>
#<alt (pow.f64 x #s(literal 2 binary64))>
#<alt (pow.f64 x #s(literal 2 binary64))>
#<alt (pow.f64 x #s(literal 2 binary64))>
#<alt (pow.f64 x #s(literal 2 binary64))>
#<alt #s(literal 1 binary64)>
#<alt (+.f64 #s(literal 1 binary64) x)>
#<alt (+.f64 #s(literal 1 binary64) x)>
#<alt (+.f64 #s(literal 1 binary64) x)>
#<alt x>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)))>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)))>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)))>
#<alt x>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)))>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)))>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)))>
#<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 (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 (/.f64 #s(literal 1 binary64) x)) y)>
#<alt (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y)>
#<alt (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y)>
#<alt (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y)>
#<alt (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y)>
#<alt (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y)>
#<alt (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y)>
#<alt (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y)>
#<alt (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y)>
#<alt (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y)>
#<alt (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y)>
#<alt (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y)>
#<alt (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y)>
#<alt (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y)>
#<alt (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y)>
#<alt (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y)>
#<alt (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y)>
#<alt (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y)>
#<alt (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y)>
#<alt (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y)>
#<alt (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y)>
#<alt (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y)>
#<alt (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y)>
#<alt (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y)>
#<alt (+.f64 #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 (cbrt.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 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 (cbrt.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 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 (cbrt.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 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 (cbrt.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 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)))))>
Calls

60 calls:

TimeVariablePointExpression
5.0ms
x
@0
(pow x 3/2)
2.0ms
x
@-inf
(* y (cbrt (pow x 3/2)))
1.0ms
x
@-inf
(* x (/ y (sqrt x)))
1.0ms
x
@-inf
(pow x 3/2)
0.0ms
x
@inf
(/ (- 1 (* (neg x) (neg x))) (- 1 (neg x)))

rewrite238.0ms (3.3%)

Algorithm
batch-egg-rewrite
Rules
849×log1p-expm1-u
200×expm1-log1p-u
189×add-exp-log
189×add-cube-cbrt
187×pow1
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
026295
1449195
26789195
Stop Event
node limit
Counts
14 → 445
Calls
Call 1
Inputs
(*.f64 y (cbrt.f64 (pow.f64 x #s(literal 3/2 binary64))))
(cbrt.f64 (pow.f64 x #s(literal 3/2 binary64)))
(pow.f64 x #s(literal 3/2 binary64))
(neg.f64 x)
(*.f64 y (/.f64 x (neg.f64 y)))
(/.f64 x (neg.f64 y))
(neg.f64 y)
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (neg.f64 x) (neg.f64 x))) (-.f64 #s(literal 1 binary64) (neg.f64 x)))
(-.f64 #s(literal 1 binary64) (*.f64 (neg.f64 x) (neg.f64 x)))
(*.f64 (neg.f64 x) (neg.f64 x))
(-.f64 #s(literal 1 binary64) (neg.f64 x))
(*.f64 x (/.f64 y (sqrt.f64 x)))
(/.f64 y (sqrt.f64 x))
(+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (cbrt.f64 (pow.f64 x #s(literal 3/2 binary64)))))
Outputs
(-.f64 (exp.f64 (log1p.f64 (*.f64 y (sqrt.f64 x)))) #s(literal 1 binary64))
(pow.f64 (*.f64 y (sqrt.f64 x)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 y (sqrt.f64 x))) #s(literal 3 binary64))
(pow.f64 (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))))
(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)))
(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 (sqrt.f64 x))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (sqrt.f64 x))
(*.f64 (sqrt.f64 x) #s(literal 1 binary64))
(*.f64 (cbrt.f64 (sqrt.f64 x)) (cbrt.f64 x))
(*.f64 (cbrt.f64 x) (cbrt.f64 (sqrt.f64 x)))
(*.f64 (pow.f64 x #s(literal 1/4 binary64)) (pow.f64 x #s(literal 1/4 binary64)))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/3 binary64)) (sqrt.f64 x))
(*.f64 (pow.f64 (pow.f64 x #s(literal 3/4 binary64)) #s(literal 1/3 binary64)) (pow.f64 (pow.f64 x #s(literal 3/4 binary64)) #s(literal 1/3 binary64)))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/2 binary64)) (sqrt.f64 x))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) #s(literal 1/2 binary64)) (pow.f64 (cbrt.f64 x) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 x))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (sqrt.f64 (cbrt.f64 x)))
(pow.f64 x #s(literal 1/2 binary64))
(pow.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 x) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (sqrt.f64 x)) #s(literal 3 binary64))
(pow.f64 (pow.f64 x #s(literal 1/4 binary64)) #s(literal 2 binary64))
(sqrt.f64 x)
(fabs.f64 (sqrt.f64 x))
(log.f64 (exp.f64 (sqrt.f64 x)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (sqrt.f64 x))))
(expm1.f64 (log1p.f64 (sqrt.f64 x)))
(log1p.f64 (expm1.f64 (sqrt.f64 x)))
(exp.f64 (log.f64 (sqrt.f64 x)))
(exp.f64 (*.f64 (*.f64 #s(literal 3/2 binary64) (log.f64 x)) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 x) #s(literal 1/2 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 x)) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 x #s(literal 3/2 binary64)))) #s(literal 1 binary64))
(*.f64 x (sqrt.f64 x))
(*.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3/2 binary64)))
(*.f64 (sqrt.f64 x) x)
(*.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (*.f64 (cbrt.f64 x) (sqrt.f64 x)))
(*.f64 (pow.f64 x #s(literal 3/4 binary64)) (pow.f64 x #s(literal 3/4 binary64)))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3/2 binary64)))
(*.f64 (pow.f64 (sqrt.f64 x) #s(literal 3/2 binary64)) (pow.f64 (sqrt.f64 x) #s(literal 3/2 binary64)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) #s(literal 3/2 binary64)) (pow.f64 (cbrt.f64 x) #s(literal 3/2 binary64)))
(*.f64 (*.f64 x (cbrt.f64 x)) (cbrt.f64 (sqrt.f64 x)))
(*.f64 (*.f64 x (pow.f64 x #s(literal 1/4 binary64))) (pow.f64 x #s(literal 1/4 binary64)))
(sqrt.f64 (pow.f64 x #s(literal 3 binary64)))
(log.f64 (exp.f64 (pow.f64 x #s(literal 3/2 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (pow.f64 x #s(literal 3/2 binary64)))))
(cbrt.f64 (pow.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (pow.f64 x #s(literal 3/2 binary64))))
(log1p.f64 (expm1.f64 (pow.f64 x #s(literal 3/2 binary64))))
(exp.f64 (*.f64 #s(literal 3/2 binary64) (log.f64 x)))
(exp.f64 (*.f64 (*.f64 #s(literal 3/2 binary64) (log.f64 x)) #s(literal 1 binary64)))
(+.f64 #s(literal 0 binary64) x)
(-.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1 binary64))
(-.f64 #s(literal 0 binary64) x)
(*.f64 x #s(literal 1 binary64))
(*.f64 x #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) x)
(*.f64 (sqrt.f64 x) (sqrt.f64 x))
(*.f64 (sqrt.f64 x) (neg.f64 (sqrt.f64 x)))
(*.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (cbrt.f64 x))
(*.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (neg.f64 (cbrt.f64 x)))
(*.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)))
(*.f64 (cbrt.f64 x) (*.f64 (cbrt.f64 (sqrt.f64 x)) (sqrt.f64 x)))
(*.f64 (pow.f64 x #s(literal 1/4 binary64)) (*.f64 (pow.f64 x #s(literal 1/4 binary64)) (sqrt.f64 x)))
(*.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x))
(*.f64 #s(literal -1 binary64) x)
(*.f64 (pow.f64 x #s(literal 3/4 binary64)) (pow.f64 x #s(literal 1/4 binary64)))
(*.f64 (sqrt.f64 (cbrt.f64 (pow.f64 x #s(literal 4 binary64)))) (sqrt.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))))
(*.f64 (neg.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 x))
(*.f64 (*.f64 (sqrt.f64 x) (cbrt.f64 x)) (cbrt.f64 (sqrt.f64 x)))
(*.f64 (*.f64 #s(literal -1 binary64) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 x))
(/.f64 (pow.f64 x #s(literal 2 binary64)) x)
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 x #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (+.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 #s(literal 0 binary64) x))))
(pow.f64 x #s(literal 1 binary64))
(pow.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 2/3 binary64))
(pow.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (sqrt.f64 x) #s(literal 2 binary64))
(pow.f64 (cbrt.f64 x) #s(literal 3 binary64))
(pow.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/3 binary64))
(sqrt.f64 (pow.f64 x #s(literal 2 binary64)))
(fabs.f64 x)
(log.f64 (exp.f64 x))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 x)))
(cbrt.f64 (pow.f64 x #s(literal 3 binary64)))
x
(expm1.f64 (log1p.f64 x))
(log1p.f64 (expm1.f64 x))
(exp.f64 (log.f64 x))
(exp.f64 (*.f64 (log.f64 x) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (*.f64 y x) y))) #s(literal 1 binary64))
(/.f64 y (/.f64 y x))
(/.f64 #s(literal 1 binary64) (/.f64 y (*.f64 y x)))
(/.f64 (*.f64 y x) y)
(/.f64 (neg.f64 (*.f64 y x)) y)
(/.f64 (/.f64 (*.f64 y x) #s(literal 1 binary64)) y)
(/.f64 (/.f64 (*.f64 y x) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (cbrt.f64 y))
(/.f64 (/.f64 (*.f64 y x) (sqrt.f64 y)) (sqrt.f64 y))
(/.f64 (/.f64 (*.f64 y x) #s(literal -1 binary64)) y)
(pow.f64 (/.f64 (*.f64 y x) y) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (/.f64 (*.f64 y x) y)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (/.f64 (*.f64 y x) y) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (/.f64 (*.f64 y x) y)) #s(literal 2 binary64))
(neg.f64 (/.f64 (*.f64 y x) y))
(sqrt.f64 (pow.f64 (/.f64 (*.f64 y x) y) #s(literal 2 binary64)))
(log.f64 (exp.f64 (/.f64 (*.f64 y x) y)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 (*.f64 y x) y))))
(cbrt.f64 (pow.f64 (/.f64 (*.f64 y x) y) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 (/.f64 x y) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 x y) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (/.f64 (*.f64 y x) y)))
(log1p.f64 (expm1.f64 (/.f64 (*.f64 y x) y)))
(exp.f64 (log.f64 (/.f64 (*.f64 y x) y)))
(exp.f64 (*.f64 (log.f64 (/.f64 (*.f64 y x) y)) #s(literal 1 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 x y))
(-.f64 (exp.f64 (log1p.f64 (/.f64 x y))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 0 binary64) y) (/.f64 x y))
(*.f64 x (/.f64 #s(literal 1 binary64) y))
(*.f64 (/.f64 x y) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 x y))
(*.f64 (sqrt.f64 x) (/.f64 (sqrt.f64 x) y))
(*.f64 (cbrt.f64 (/.f64 x y)) (pow.f64 (cbrt.f64 (/.f64 x y)) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 x y)) #s(literal 2 binary64)) (cbrt.f64 (/.f64 x y)))
(*.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (/.f64 (cbrt.f64 x) y))
(*.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (*.f64 (cbrt.f64 x) (/.f64 #s(literal 1 binary64) y)))
(*.f64 (sqrt.f64 (/.f64 x y)) (sqrt.f64 (/.f64 x y)))
(*.f64 (/.f64 #s(literal 1 binary64) y) x)
(*.f64 #s(literal -1 binary64) (/.f64 x y))
(*.f64 (/.f64 (sqrt.f64 x) #s(literal 1 binary64)) (/.f64 (sqrt.f64 x) y))
(*.f64 (/.f64 (sqrt.f64 x) #s(literal -1 binary64)) (/.f64 (sqrt.f64 x) y))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (cbrt.f64 x) y))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64)) (/.f64 (cbrt.f64 x) y))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (/.f64 x (cbrt.f64 y)))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 y)) (/.f64 x (sqrt.f64 y)))
(*.f64 (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (/.f64 (sqrt.f64 x) (cbrt.f64 y)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (cbrt.f64 (/.f64 x y)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (sqrt.f64 y)) (/.f64 (cbrt.f64 x) (sqrt.f64 y)))
(pow.f64 (/.f64 x y) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (/.f64 x y)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (/.f64 x y) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (/.f64 x y)) #s(literal 2 binary64))
(pow.f64 (/.f64 y x) #s(literal -1 binary64))
(neg.f64 (/.f64 x y))
(sqrt.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)))
(log.f64 (exp.f64 (/.f64 x y)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 x y))))
(cbrt.f64 (pow.f64 (/.f64 x y) #s(literal 3 binary64)))
(cbrt.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (/.f64 x y)))
(log1p.f64 (expm1.f64 (/.f64 x y)))
(exp.f64 (log.f64 (/.f64 x y)))
(exp.f64 (*.f64 (log.f64 (/.f64 x y)) #s(literal 1 binary64)))
(+.f64 #s(literal 0 binary64) y)
(-.f64 #s(literal 0 binary64) y)
(-.f64 (exp.f64 (log1p.f64 y)) #s(literal 1 binary64))
(*.f64 y #s(literal 1 binary64))
(*.f64 y #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) y)
(*.f64 (cbrt.f64 y) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (cbrt.f64 y))
(*.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (neg.f64 (cbrt.f64 y)))
(*.f64 (sqrt.f64 y) (sqrt.f64 y))
(*.f64 (sqrt.f64 y) (neg.f64 (sqrt.f64 y)))
(*.f64 #s(literal -1 binary64) y)
(*.f64 (neg.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (cbrt.f64 y))
(*.f64 (neg.f64 (sqrt.f64 y)) (sqrt.f64 y))
(*.f64 (*.f64 #s(literal -1 binary64) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (cbrt.f64 y))
(*.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 y)) (sqrt.f64 y))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 y #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (+.f64 (pow.f64 y #s(literal 2 binary64)) (*.f64 #s(literal 0 binary64) y))))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 y #s(literal 2 binary64))) y)
(pow.f64 y #s(literal 1 binary64))
(pow.f64 (cbrt.f64 y) #s(literal 3 binary64))
(pow.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 y) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 y #s(literal 2 binary64)))
(log.f64 (exp.f64 y))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 y)))
(cbrt.f64 (pow.f64 y #s(literal 3 binary64)))
y
(expm1.f64 (log1p.f64 y))
(log1p.f64 (expm1.f64 y))
(exp.f64 (log.f64 y))
(exp.f64 (*.f64 (log.f64 y) #s(literal 1 binary64)))
(+.f64 x #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) x)
(+.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal -1 binary64) x)))
(-.f64 #s(literal 1 binary64) x)
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal -1 binary64) x)))
(-.f64 (exp.f64 (log1p.f64 (+.f64 x #s(literal 1 binary64)))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 x x x))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 #s(literal 1 binary64) (fma.f64 x x x))))
(*.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64)))
(*.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 (+.f64 x #s(literal 1 binary64)) #s(literal 1 binary64))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) #s(literal 2 binary64)) (/.f64 (cbrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) (+.f64 x #s(literal 1 binary64))))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) #s(literal 2 binary64)) (*.f64 (cbrt.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 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (pow.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) #s(literal 2 binary64)) (cbrt.f64 (+.f64 x #s(literal 1 binary64))))
(*.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) (/.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) (+.f64 x #s(literal 1 binary64))))
(*.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) (*.f64 (sqrt.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 (hypot.f64 #s(literal 1 binary64) (sqrt.f64 x)) (hypot.f64 #s(literal 1 binary64) (sqrt.f64 x)))
(*.f64 (+.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) x)))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (+.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))
(*.f64 (+.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 x x x))))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) #s(literal 2 binary64))) (/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) (cbrt.f64 (+.f64 x #s(literal 1 binary64)))))
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(cbrt.f64 (*.f64 (pow.f64 (/.f64 y (sqrt.f64 x)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (/.f64 x (/.f64 (sqrt.f64 x) y))))
(log1p.f64 (expm1.f64 (/.f64 x (/.f64 (sqrt.f64 x) y))))
(exp.f64 (log.f64 (/.f64 x (/.f64 (sqrt.f64 x) y))))
(exp.f64 (*.f64 (log.f64 (/.f64 x (/.f64 (sqrt.f64 x) y))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 y (sqrt.f64 x)))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (sqrt.f64 x))) (/.f64 y (sqrt.f64 x)))
(*.f64 y (pow.f64 x #s(literal -1/2 binary64)))
(*.f64 y (/.f64 #s(literal 1 binary64) (neg.f64 (sqrt.f64 x))))
(*.f64 #s(literal 1 binary64) (/.f64 y (sqrt.f64 x)))
(*.f64 (/.f64 y (sqrt.f64 x)) #s(literal 1 binary64))
(*.f64 (cbrt.f64 (/.f64 y (sqrt.f64 x))) (cbrt.f64 (/.f64 (pow.f64 y #s(literal 2 binary64)) x)))
(*.f64 (cbrt.f64 (/.f64 (pow.f64 y #s(literal 2 binary64)) x)) (cbrt.f64 (/.f64 y (sqrt.f64 x))))
(*.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (/.f64 (cbrt.f64 y) (sqrt.f64 x)))
(*.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (*.f64 (cbrt.f64 y) (pow.f64 x #s(literal -1/2 binary64))))
(*.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (/.f64 (cbrt.f64 y) (neg.f64 (sqrt.f64 x))))
(*.f64 (sqrt.f64 (/.f64 y (sqrt.f64 x))) (sqrt.f64 (/.f64 y (sqrt.f64 x))))
(*.f64 (sqrt.f64 y) (/.f64 (sqrt.f64 y) (sqrt.f64 x)))
(*.f64 (sqrt.f64 y) (*.f64 (sqrt.f64 y) (pow.f64 x #s(literal -1/2 binary64))))
(*.f64 (sqrt.f64 y) (/.f64 (sqrt.f64 y) (neg.f64 (sqrt.f64 x))))
(*.f64 (pow.f64 x #s(literal -1/2 binary64)) y)
(*.f64 #s(literal -1 binary64) (/.f64 y (sqrt.f64 x)))
(*.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 x)) (/.f64 y (cbrt.f64 (sqrt.f64 x))))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 1/4 binary64))) (/.f64 y (pow.f64 x #s(literal 1/4 binary64))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (cbrt.f64 y) (sqrt.f64 x)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (cbrt.f64 x)) (cbrt.f64 (/.f64 y (sqrt.f64 x))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (pow.f64 x #s(literal 1/4 binary64))) (/.f64 (cbrt.f64 y) (pow.f64 x #s(literal 1/4 binary64))))
(*.f64 (/.f64 (sqrt.f64 y) #s(literal 1 binary64)) (/.f64 (sqrt.f64 y) (sqrt.f64 x)))
(*.f64 (/.f64 (sqrt.f64 y) (cbrt.f64 x)) (/.f64 (sqrt.f64 y) (cbrt.f64 (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))
(pow.f64 (/.f64 (sqrt.f64 x) y) #s(literal -1 binary64))
(neg.f64 (/.f64 y (sqrt.f64 x)))
(sqrt.f64 (/.f64 (pow.f64 y #s(literal 2 binary64)) x))
(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)))
(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)))
(-.f64 #s(literal 1 binary64) (+.f64 x (*.f64 y (sqrt.f64 x))))
(-.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 y (sqrt.f64 x)))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 y (sqrt.f64 x) (+.f64 x #s(literal 1 binary64))))) #s(literal 1 binary64))
(-.f64 (/.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 2 binary64)) (fma.f64 y (sqrt.f64 x) (+.f64 x #s(literal 1 binary64)))) (/.f64 (*.f64 x (pow.f64 y #s(literal 2 binary64))) (fma.f64 y (sqrt.f64 x) (+.f64 x #s(literal 1 binary64)))))
(-.f64 (+.f64 (*.f64 y (sqrt.f64 x)) #s(literal 1 binary64)) x)
(*.f64 #s(literal 1 binary64) (fma.f64 y (sqrt.f64 x) (+.f64 x #s(literal 1 binary64))))
(*.f64 (fma.f64 y (sqrt.f64 x) (+.f64 x #s(literal 1 binary64))) #s(literal 1 binary64))
(*.f64 (cbrt.f64 (fma.f64 y (sqrt.f64 x) (+.f64 x #s(literal 1 binary64)))) (pow.f64 (cbrt.f64 (fma.f64 y (sqrt.f64 x) (+.f64 x #s(literal 1 binary64)))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 y (sqrt.f64 x) (+.f64 x #s(literal 1 binary64)))) #s(literal 2 binary64)) (cbrt.f64 (fma.f64 y (sqrt.f64 x) (+.f64 x #s(literal 1 binary64)))))
(*.f64 (pow.f64 (fma.f64 y (sqrt.f64 x) (+.f64 x #s(literal 1 binary64))) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 y (sqrt.f64 x) (+.f64 x #s(literal 1 binary64)))))
(*.f64 (sqrt.f64 (fma.f64 y (sqrt.f64 x) (+.f64 x #s(literal 1 binary64)))) (sqrt.f64 (fma.f64 y (sqrt.f64 x) (+.f64 x #s(literal 1 binary64)))))
(*.f64 (+.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 3 binary64)) (pow.f64 (*.f64 y (sqrt.f64 x)) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 2 binary64)) (*.f64 (*.f64 y (sqrt.f64 x)) (-.f64 (*.f64 y (sqrt.f64 x)) (+.f64 x #s(literal 1 binary64)))))))
(*.f64 (+.f64 (hypot.f64 #s(literal 1 binary64) (sqrt.f64 x)) (sqrt.f64 (*.f64 y (sqrt.f64 x)))) (-.f64 (hypot.f64 #s(literal 1 binary64) (sqrt.f64 x)) (sqrt.f64 (*.f64 y (sqrt.f64 x)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 2 binary64)) (*.f64 (*.f64 y (sqrt.f64 x)) (-.f64 (*.f64 y (sqrt.f64 x)) (+.f64 x #s(literal 1 binary64))))) (+.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 3 binary64)) (pow.f64 (*.f64 y (sqrt.f64 x)) #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y (sqrt.f64 x) (+.f64 x #s(literal 1 binary64))) (pow.f64 (fma.f64 y (sqrt.f64 x) (+.f64 x #s(literal 1 binary64))) #s(literal 2 binary64))))
(/.f64 (pow.f64 (fma.f64 y (sqrt.f64 x) (+.f64 x #s(literal 1 binary64))) #s(literal 2 binary64)) (fma.f64 y (sqrt.f64 x) (+.f64 x #s(literal 1 binary64))))
(/.f64 (+.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 3 binary64)) (pow.f64 (*.f64 y (sqrt.f64 x)) #s(literal 3 binary64))) (+.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 2 binary64)) (*.f64 (*.f64 y (sqrt.f64 x)) (-.f64 (*.f64 y (sqrt.f64 x)) (+.f64 x #s(literal 1 binary64))))))
(/.f64 (+.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 3 binary64)) (pow.f64 (*.f64 y (sqrt.f64 x)) #s(literal 3 binary64))) (+.f64 (*.f64 x (pow.f64 y #s(literal 2 binary64))) (-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 2 binary64)) (*.f64 (*.f64 y (sqrt.f64 x)) (+.f64 x #s(literal 1 binary64))))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 3 binary64)) (pow.f64 (*.f64 y (sqrt.f64 x)) #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 2 binary64)) (*.f64 (*.f64 y (sqrt.f64 x)) (-.f64 (*.f64 y (sqrt.f64 x)) (+.f64 x #s(literal 1 binary64)))))))
(/.f64 (neg.f64 (pow.f64 (fma.f64 y (sqrt.f64 x) (+.f64 x #s(literal 1 binary64))) #s(literal 2 binary64))) (neg.f64 (fma.f64 y (sqrt.f64 x) (+.f64 x #s(literal 1 binary64)))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (+.f64 x (*.f64 y (sqrt.f64 x))) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 (+.f64 x (*.f64 y (sqrt.f64 x))) (+.f64 x (*.f64 y (sqrt.f64 x)))) (+.f64 x (*.f64 y (sqrt.f64 x))))))
(/.f64 (-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 3 binary64)) (pow.f64 (*.f64 y (sqrt.f64 x)) #s(literal 3 binary64))) (+.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 2 binary64)) (+.f64 (*.f64 x (pow.f64 y #s(literal 2 binary64))) (*.f64 (*.f64 y (sqrt.f64 x)) (+.f64 x #s(literal 1 binary64))))))
(/.f64 (-.f64 (*.f64 x (pow.f64 y #s(literal 2 binary64))) (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 2 binary64))) (-.f64 (*.f64 y (sqrt.f64 x)) (+.f64 x #s(literal 1 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (+.f64 x (*.f64 y (sqrt.f64 x))) (+.f64 x (*.f64 y (sqrt.f64 x))))) (fma.f64 y (sqrt.f64 x) (+.f64 x #s(literal 1 binary64))))
(pow.f64 (fma.f64 y (sqrt.f64 x) (+.f64 x #s(literal 1 binary64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (fma.f64 y (sqrt.f64 x) (+.f64 x #s(literal 1 binary64)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (fma.f64 y (sqrt.f64 x) (+.f64 x #s(literal 1 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (fma.f64 y (sqrt.f64 x) (+.f64 x #s(literal 1 binary64)))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (fma.f64 y (sqrt.f64 x) (+.f64 x #s(literal 1 binary64))) #s(literal 2 binary64)))
(log.f64 (exp.f64 (fma.f64 y (sqrt.f64 x) (+.f64 x #s(literal 1 binary64)))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 y (sqrt.f64 x) (+.f64 x #s(literal 1 binary64))))))
(log.f64 (/.f64 (exp.f64 (+.f64 x #s(literal 1 binary64))) (pow.f64 (exp.f64 (sqrt.f64 x)) y)))
(cbrt.f64 (pow.f64 (fma.f64 y (sqrt.f64 x) (+.f64 x #s(literal 1 binary64))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (fma.f64 y (sqrt.f64 x) (+.f64 x #s(literal 1 binary64)))))
(log1p.f64 (expm1.f64 (fma.f64 y (sqrt.f64 x) (+.f64 x #s(literal 1 binary64)))))
(exp.f64 (log.f64 (fma.f64 y (sqrt.f64 x) (+.f64 x #s(literal 1 binary64)))))
(exp.f64 (*.f64 (log.f64 (fma.f64 y (sqrt.f64 x) (+.f64 x #s(literal 1 binary64)))) #s(literal 1 binary64)))
(fma.f64 y (sqrt.f64 x) (+.f64 x #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) (*.f64 y (sqrt.f64 x)) (+.f64 x #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64)) (*.f64 y (sqrt.f64 x)))
(fma.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64)) (neg.f64 (*.f64 y (sqrt.f64 x))))
(fma.f64 (sqrt.f64 x) y (+.f64 x #s(literal 1 binary64)))
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) #s(literal 2 binary64)) (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (*.f64 y (sqrt.f64 x)))
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) #s(literal 2 binary64)) (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (neg.f64 (*.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 x #s(literal 1 binary64)))
(fma.f64 (hypot.f64 #s(literal 1 binary64) (sqrt.f64 x)) (hypot.f64 #s(literal 1 binary64) (sqrt.f64 x)) (*.f64 y (sqrt.f64 x)))
(fma.f64 (hypot.f64 #s(literal 1 binary64) (sqrt.f64 x)) (hypot.f64 #s(literal 1 binary64) (sqrt.f64 x)) (neg.f64 (*.f64 y (sqrt.f64 x))))
(fma.f64 (sqrt.f64 (*.f64 y (sqrt.f64 x))) (sqrt.f64 (*.f64 y (sqrt.f64 x))) (+.f64 x #s(literal 1 binary64)))

simplify306.0ms (4.2%)

Algorithm
egg-herbie
Rules
714×times-frac
579×associate-*l*
542×associate-*r*
294×associate-/r*
253×associate-/l*
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
08164294981821
116644294981248
Stop Event
node limit
Counts
685 → 560
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 (cbrt.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64))))))
(*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 x) (*.f64 y (cbrt.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64))))))
(*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 x) (*.f64 y (cbrt.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64))))))
(*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 x) (*.f64 y (cbrt.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64))))))
(sqrt.f64 x)
(sqrt.f64 x)
(sqrt.f64 x)
(sqrt.f64 x)
(sqrt.f64 x)
(sqrt.f64 x)
(sqrt.f64 x)
(sqrt.f64 x)
(*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 x) (cbrt.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64)))))
(*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 x) (cbrt.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64)))))
(*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 x) (cbrt.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64)))))
(*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 x) (cbrt.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64)))))
(sqrt.f64 (pow.f64 x #s(literal 3 binary64)))
(sqrt.f64 (pow.f64 x #s(literal 3 binary64)))
(sqrt.f64 (pow.f64 x #s(literal 3 binary64)))
(sqrt.f64 (pow.f64 x #s(literal 3 binary64)))
(sqrt.f64 (pow.f64 x #s(literal 3 binary64)))
(sqrt.f64 (pow.f64 x #s(literal 3 binary64)))
(sqrt.f64 (pow.f64 x #s(literal 3 binary64)))
(sqrt.f64 (pow.f64 x #s(literal 3 binary64)))
(*.f64 (sqrt.f64 (pow.f64 x #s(literal 3 binary64))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))
(*.f64 (sqrt.f64 (pow.f64 x #s(literal 3 binary64))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))
(*.f64 (sqrt.f64 (pow.f64 x #s(literal 3 binary64))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))
(*.f64 (sqrt.f64 (pow.f64 x #s(literal 3 binary64))) (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 #s(literal -1 binary64) x)
(*.f64 #s(literal -1 binary64) x)
(*.f64 #s(literal -1 binary64) x)
(*.f64 #s(literal -1 binary64) x)
(*.f64 #s(literal -1 binary64) x)
(*.f64 #s(literal -1 binary64) x)
(*.f64 #s(literal -1 binary64) x)
(*.f64 #s(literal -1 binary64) x)
(*.f64 #s(literal -1 binary64) x)
(*.f64 #s(literal -1 binary64) x)
(*.f64 #s(literal -1 binary64) x)
(*.f64 #s(literal -1 binary64) x)
(*.f64 #s(literal -1 binary64) x)
(*.f64 #s(literal -1 binary64) x)
(*.f64 #s(literal -1 binary64) x)
(*.f64 #s(literal -1 binary64) x)
(*.f64 #s(literal -1 binary64) x)
(*.f64 #s(literal -1 binary64) x)
(*.f64 #s(literal -1 binary64) x)
(*.f64 #s(literal -1 binary64) x)
(*.f64 #s(literal -1 binary64) x)
(*.f64 #s(literal -1 binary64) x)
(*.f64 #s(literal -1 binary64) x)
(*.f64 #s(literal -1 binary64) x)
(*.f64 #s(literal -1 binary64) x)
(*.f64 #s(literal -1 binary64) x)
(*.f64 #s(literal -1 binary64) x)
(*.f64 #s(literal -1 binary64) x)
(*.f64 #s(literal -1 binary64) x)
(*.f64 #s(literal -1 binary64) x)
(*.f64 #s(literal -1 binary64) x)
(*.f64 #s(literal -1 binary64) x)
(*.f64 #s(literal -1 binary64) x)
(*.f64 #s(literal -1 binary64) x)
(*.f64 #s(literal -1 binary64) (/.f64 x y))
(*.f64 #s(literal -1 binary64) (/.f64 x y))
(*.f64 #s(literal -1 binary64) (/.f64 x y))
(*.f64 #s(literal -1 binary64) (/.f64 x y))
(*.f64 #s(literal -1 binary64) (/.f64 x y))
(*.f64 #s(literal -1 binary64) (/.f64 x y))
(*.f64 #s(literal -1 binary64) (/.f64 x y))
(*.f64 #s(literal -1 binary64) (/.f64 x y))
(*.f64 #s(literal -1 binary64) (/.f64 x y))
(*.f64 #s(literal -1 binary64) (/.f64 x y))
(*.f64 #s(literal -1 binary64) (/.f64 x y))
(*.f64 #s(literal -1 binary64) (/.f64 x y))
(*.f64 #s(literal -1 binary64) (/.f64 x y))
(*.f64 #s(literal -1 binary64) (/.f64 x y))
(*.f64 #s(literal -1 binary64) (/.f64 x y))
(*.f64 #s(literal -1 binary64) (/.f64 x y))
(*.f64 #s(literal -1 binary64) (/.f64 x y))
(*.f64 #s(literal -1 binary64) (/.f64 x y))
(*.f64 #s(literal -1 binary64) (/.f64 x y))
(*.f64 #s(literal -1 binary64) (/.f64 x y))
(*.f64 #s(literal -1 binary64) (/.f64 x y))
(*.f64 #s(literal -1 binary64) (/.f64 x y))
(*.f64 #s(literal -1 binary64) (/.f64 x y))
(*.f64 #s(literal -1 binary64) (/.f64 x y))
(*.f64 #s(literal -1 binary64) y)
(*.f64 #s(literal -1 binary64) y)
(*.f64 #s(literal -1 binary64) y)
(*.f64 #s(literal -1 binary64) y)
(*.f64 #s(literal -1 binary64) y)
(*.f64 #s(literal -1 binary64) y)
(*.f64 #s(literal -1 binary64) y)
(*.f64 #s(literal -1 binary64) y)
(*.f64 #s(literal -1 binary64) y)
(*.f64 #s(literal -1 binary64) y)
(*.f64 #s(literal -1 binary64) y)
(*.f64 #s(literal -1 binary64) y)
#s(literal 1 binary64)
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) x))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) x))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) x))
(*.f64 #s(literal -1 binary64) x)
(*.f64 x (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)))
(*.f64 x (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)))
(*.f64 x (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)))
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(/.f64 (-.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 (+.f64 x #s(literal 1 binary64)) (pow.f64 x #s(literal 2 binary64)))) (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 2 binary64)))
(/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64))) #s(literal 1 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)))) (+.f64 x #s(literal 1 binary64))))
(/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) (+.f64 x #s(literal 1 binary64))))
(/.f64 (neg.f64 (+.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 2 binary64)))) (+.f64 x #s(literal 1 binary64)))
(/.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (+.f64 #s(literal 1 binary64) (fma.f64 x x x))))
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) (hypot.f64 #s(literal 1 binary64) (sqrt.f64 x))) (hypot.f64 #s(literal 1 binary64) (sqrt.f64 x)))
(/.f64 (-.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal -1 binary64) x)) #s(literal 3 binary64))) (+.f64 (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64)))) (+.f64 (*.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal -1 binary64) x)) (/.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal -1 binary64) x))) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal -1 binary64) x))))))
(/.f64 (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64)))) (*.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal -1 binary64) x)) (/.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal -1 binary64) x)))) (+.f64 x #s(literal 1 binary64)))
(/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64)))) (+.f64 #s(literal 1 binary64) (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)))))
(/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64)))) (+.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64)))
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) (pow.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) #s(literal 2 binary64))) (cbrt.f64 (+.f64 x #s(literal 1 binary64))))
(pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (hypot.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 2 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) #s(literal -1 binary64))
(neg.f64 (+.f64 #s(literal -1 binary64) x))
(sqrt.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 2 binary64)))
(log.f64 (exp.f64 (+.f64 x #s(literal 1 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (+.f64 x #s(literal 1 binary64)))))
(cbrt.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (+.f64 x #s(literal 1 binary64))))
(log1p.f64 (expm1.f64 (+.f64 x #s(literal 1 binary64))))
(exp.f64 (log1p.f64 x))
(exp.f64 (*.f64 (log1p.f64 x) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 x (/.f64 (sqrt.f64 x) y)))) #s(literal 1 binary64))
(/.f64 x (/.f64 (sqrt.f64 x) y))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 x) (*.f64 y x)))
(/.f64 (*.f64 y x) (sqrt.f64 x))
(/.f64 (*.f64 y x) (neg.f64 (sqrt.f64 x)))
(/.f64 (neg.f64 (*.f64 y x)) (neg.f64 (sqrt.f64 x)))
(/.f64 (/.f64 (*.f64 y x) (cbrt.f64 x)) (cbrt.f64 (sqrt.f64 x)))
(/.f64 (/.f64 (*.f64 y x) (pow.f64 x #s(literal 1/4 binary64))) (pow.f64 x #s(literal 1/4 binary64)))
(/.f64 (/.f64 (*.f64 y x) #s(literal 1 binary64)) (sqrt.f64 x))
(pow.f64 (/.f64 x (/.f64 (sqrt.f64 x) y)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (/.f64 x (/.f64 (sqrt.f64 x) y))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (/.f64 x (/.f64 (sqrt.f64 x) y)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (/.f64 x (/.f64 (sqrt.f64 x) y))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (/.f64 x (/.f64 (sqrt.f64 x) y)) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 x) (/.f64 y (sqrt.f64 x))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 x (/.f64 (sqrt.f64 x) y)))))
(cbrt.f64 (pow.f64 (/.f64 x (/.f64 (sqrt.f64 x) y)) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (/.f64 y (sqrt.f64 x)) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 y (sqrt.f64 x)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (/.f64 x (/.f64 (sqrt.f64 x) y))))
(log1p.f64 (expm1.f64 (/.f64 x (/.f64 (sqrt.f64 x) y))))
(exp.f64 (log.f64 (/.f64 x (/.f64 (sqrt.f64 x) y))))
(exp.f64 (*.f64 (log.f64 (/.f64 x (/.f64 (sqrt.f64 x) y))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 y (sqrt.f64 x)))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (sqrt.f64 x))) (/.f64 y (sqrt.f64 x)))
(*.f64 y (pow.f64 x #s(literal -1/2 binary64)))
(*.f64 y (/.f64 #s(literal 1 binary64) (neg.f64 (sqrt.f64 x))))
(*.f64 #s(literal 1 binary64) (/.f64 y (sqrt.f64 x)))
(*.f64 (/.f64 y (sqrt.f64 x)) #s(literal 1 binary64))
(*.f64 (cbrt.f64 (/.f64 y (sqrt.f64 x))) (cbrt.f64 (/.f64 (pow.f64 y #s(literal 2 binary64)) x)))
(*.f64 (cbrt.f64 (/.f64 (pow.f64 y #s(literal 2 binary64)) x)) (cbrt.f64 (/.f64 y (sqrt.f64 x))))
(*.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (/.f64 (cbrt.f64 y) (sqrt.f64 x)))
(*.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (*.f64 (cbrt.f64 y) (pow.f64 x #s(literal -1/2 binary64))))
(*.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (/.f64 (cbrt.f64 y) (neg.f64 (sqrt.f64 x))))
(*.f64 (sqrt.f64 (/.f64 y (sqrt.f64 x))) (sqrt.f64 (/.f64 y (sqrt.f64 x))))
(*.f64 (sqrt.f64 y) (/.f64 (sqrt.f64 y) (sqrt.f64 x)))
(*.f64 (sqrt.f64 y) (*.f64 (sqrt.f64 y) (pow.f64 x #s(literal -1/2 binary64))))
(*.f64 (sqrt.f64 y) (/.f64 (sqrt.f64 y) (neg.f64 (sqrt.f64 x))))
(*.f64 (pow.f64 x #s(literal -1/2 binary64)) y)
(*.f64 #s(literal -1 binary64) (/.f64 y (sqrt.f64 x)))
(*.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 x)) (/.f64 y (cbrt.f64 (sqrt.f64 x))))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 1/4 binary64))) (/.f64 y (pow.f64 x #s(literal 1/4 binary64))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (cbrt.f64 y) (sqrt.f64 x)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (cbrt.f64 x)) (cbrt.f64 (/.f64 y (sqrt.f64 x))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (pow.f64 x #s(literal 1/4 binary64))) (/.f64 (cbrt.f64 y) (pow.f64 x #s(literal 1/4 binary64))))
(*.f64 (/.f64 (sqrt.f64 y) #s(literal 1 binary64)) (/.f64 (sqrt.f64 y) (sqrt.f64 x)))
(*.f64 (/.f64 (sqrt.f64 y) (cbrt.f64 x)) (/.f64 (sqrt.f64 y) (cbrt.f64 (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))
(pow.f64 (/.f64 (sqrt.f64 x) y) #s(literal -1 binary64))
(neg.f64 (/.f64 y (sqrt.f64 x)))
(sqrt.f64 (/.f64 (pow.f64 y #s(literal 2 binary64)) x))
(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)))
(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)))
(-.f64 #s(literal 1 binary64) (+.f64 x (*.f64 y (sqrt.f64 x))))
(-.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 y (sqrt.f64 x)))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 y (sqrt.f64 x) (+.f64 x #s(literal 1 binary64))))) #s(literal 1 binary64))
(-.f64 (/.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 2 binary64)) (fma.f64 y (sqrt.f64 x) (+.f64 x #s(literal 1 binary64)))) (/.f64 (*.f64 x (pow.f64 y #s(literal 2 binary64))) (fma.f64 y (sqrt.f64 x) (+.f64 x #s(literal 1 binary64)))))
(-.f64 (+.f64 (*.f64 y (sqrt.f64 x)) #s(literal 1 binary64)) x)
(*.f64 #s(literal 1 binary64) (fma.f64 y (sqrt.f64 x) (+.f64 x #s(literal 1 binary64))))
(*.f64 (fma.f64 y (sqrt.f64 x) (+.f64 x #s(literal 1 binary64))) #s(literal 1 binary64))
(*.f64 (cbrt.f64 (fma.f64 y (sqrt.f64 x) (+.f64 x #s(literal 1 binary64)))) (pow.f64 (cbrt.f64 (fma.f64 y (sqrt.f64 x) (+.f64 x #s(literal 1 binary64)))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 y (sqrt.f64 x) (+.f64 x #s(literal 1 binary64)))) #s(literal 2 binary64)) (cbrt.f64 (fma.f64 y (sqrt.f64 x) (+.f64 x #s(literal 1 binary64)))))
(*.f64 (pow.f64 (fma.f64 y (sqrt.f64 x) (+.f64 x #s(literal 1 binary64))) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 y (sqrt.f64 x) (+.f64 x #s(literal 1 binary64)))))
(*.f64 (sqrt.f64 (fma.f64 y (sqrt.f64 x) (+.f64 x #s(literal 1 binary64)))) (sqrt.f64 (fma.f64 y (sqrt.f64 x) (+.f64 x #s(literal 1 binary64)))))
(*.f64 (+.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 3 binary64)) (pow.f64 (*.f64 y (sqrt.f64 x)) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 2 binary64)) (*.f64 (*.f64 y (sqrt.f64 x)) (-.f64 (*.f64 y (sqrt.f64 x)) (+.f64 x #s(literal 1 binary64)))))))
(*.f64 (+.f64 (hypot.f64 #s(literal 1 binary64) (sqrt.f64 x)) (sqrt.f64 (*.f64 y (sqrt.f64 x)))) (-.f64 (hypot.f64 #s(literal 1 binary64) (sqrt.f64 x)) (sqrt.f64 (*.f64 y (sqrt.f64 x)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 2 binary64)) (*.f64 (*.f64 y (sqrt.f64 x)) (-.f64 (*.f64 y (sqrt.f64 x)) (+.f64 x #s(literal 1 binary64))))) (+.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 3 binary64)) (pow.f64 (*.f64 y (sqrt.f64 x)) #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y (sqrt.f64 x) (+.f64 x #s(literal 1 binary64))) (pow.f64 (fma.f64 y (sqrt.f64 x) (+.f64 x #s(literal 1 binary64))) #s(literal 2 binary64))))
(/.f64 (pow.f64 (fma.f64 y (sqrt.f64 x) (+.f64 x #s(literal 1 binary64))) #s(literal 2 binary64)) (fma.f64 y (sqrt.f64 x) (+.f64 x #s(literal 1 binary64))))
(/.f64 (+.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 3 binary64)) (pow.f64 (*.f64 y (sqrt.f64 x)) #s(literal 3 binary64))) (+.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 2 binary64)) (*.f64 (*.f64 y (sqrt.f64 x)) (-.f64 (*.f64 y (sqrt.f64 x)) (+.f64 x #s(literal 1 binary64))))))
(/.f64 (+.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 3 binary64)) (pow.f64 (*.f64 y (sqrt.f64 x)) #s(literal 3 binary64))) (+.f64 (*.f64 x (pow.f64 y #s(literal 2 binary64))) (-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 2 binary64)) (*.f64 (*.f64 y (sqrt.f64 x)) (+.f64 x #s(literal 1 binary64))))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 3 binary64)) (pow.f64 (*.f64 y (sqrt.f64 x)) #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 2 binary64)) (*.f64 (*.f64 y (sqrt.f64 x)) (-.f64 (*.f64 y (sqrt.f64 x)) (+.f64 x #s(literal 1 binary64)))))))
(/.f64 (neg.f64 (pow.f64 (fma.f64 y (sqrt.f64 x) (+.f64 x #s(literal 1 binary64))) #s(literal 2 binary64))) (neg.f64 (fma.f64 y (sqrt.f64 x) (+.f64 x #s(literal 1 binary64)))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (+.f64 x (*.f64 y (sqrt.f64 x))) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 (+.f64 x (*.f64 y (sqrt.f64 x))) (+.f64 x (*.f64 y (sqrt.f64 x)))) (+.f64 x (*.f64 y (sqrt.f64 x))))))
(/.f64 (-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 3 binary64)) (pow.f64 (*.f64 y (sqrt.f64 x)) #s(literal 3 binary64))) (+.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 2 binary64)) (+.f64 (*.f64 x (pow.f64 y #s(literal 2 binary64))) (*.f64 (*.f64 y (sqrt.f64 x)) (+.f64 x #s(literal 1 binary64))))))
(/.f64 (-.f64 (*.f64 x (pow.f64 y #s(literal 2 binary64))) (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 2 binary64))) (-.f64 (*.f64 y (sqrt.f64 x)) (+.f64 x #s(literal 1 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (+.f64 x (*.f64 y (sqrt.f64 x))) (+.f64 x (*.f64 y (sqrt.f64 x))))) (fma.f64 y (sqrt.f64 x) (+.f64 x #s(literal 1 binary64))))
(pow.f64 (fma.f64 y (sqrt.f64 x) (+.f64 x #s(literal 1 binary64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (fma.f64 y (sqrt.f64 x) (+.f64 x #s(literal 1 binary64)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (fma.f64 y (sqrt.f64 x) (+.f64 x #s(literal 1 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (fma.f64 y (sqrt.f64 x) (+.f64 x #s(literal 1 binary64)))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (fma.f64 y (sqrt.f64 x) (+.f64 x #s(literal 1 binary64))) #s(literal 2 binary64)))
(log.f64 (exp.f64 (fma.f64 y (sqrt.f64 x) (+.f64 x #s(literal 1 binary64)))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 y (sqrt.f64 x) (+.f64 x #s(literal 1 binary64))))))
(log.f64 (/.f64 (exp.f64 (+.f64 x #s(literal 1 binary64))) (pow.f64 (exp.f64 (sqrt.f64 x)) y)))
(cbrt.f64 (pow.f64 (fma.f64 y (sqrt.f64 x) (+.f64 x #s(literal 1 binary64))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (fma.f64 y (sqrt.f64 x) (+.f64 x #s(literal 1 binary64)))))
(log1p.f64 (expm1.f64 (fma.f64 y (sqrt.f64 x) (+.f64 x #s(literal 1 binary64)))))
(exp.f64 (log.f64 (fma.f64 y (sqrt.f64 x) (+.f64 x #s(literal 1 binary64)))))
(exp.f64 (*.f64 (log.f64 (fma.f64 y (sqrt.f64 x) (+.f64 x #s(literal 1 binary64)))) #s(literal 1 binary64)))
(fma.f64 y (sqrt.f64 x) (+.f64 x #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) (*.f64 y (sqrt.f64 x)) (+.f64 x #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64)) (*.f64 y (sqrt.f64 x)))
(fma.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64)) (neg.f64 (*.f64 y (sqrt.f64 x))))
(fma.f64 (sqrt.f64 x) y (+.f64 x #s(literal 1 binary64)))
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) #s(literal 2 binary64)) (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (*.f64 y (sqrt.f64 x)))
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) #s(literal 2 binary64)) (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (neg.f64 (*.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 x #s(literal 1 binary64)))
(fma.f64 (hypot.f64 #s(literal 1 binary64) (sqrt.f64 x)) (hypot.f64 #s(literal 1 binary64) (sqrt.f64 x)) (*.f64 y (sqrt.f64 x)))
(fma.f64 (hypot.f64 #s(literal 1 binary64) (sqrt.f64 x)) (hypot.f64 #s(literal 1 binary64) (sqrt.f64 x)) (neg.f64 (*.f64 y (sqrt.f64 x))))
(fma.f64 (sqrt.f64 (*.f64 y (sqrt.f64 x))) (sqrt.f64 (*.f64 y (sqrt.f64 x))) (+.f64 x #s(literal 1 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 (cbrt.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64))))))
(*.f64 (neg.f64 (sqrt.f64 x)) (*.f64 y (cbrt.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64)))))
(*.f64 (*.f64 y (cbrt.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64)))) (neg.f64 (sqrt.f64 x)))
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(+.f64 x (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64)))
(fma.f64 y (sqrt.f64 x) (+.f64 x #s(literal 1 binary64)))
(fma.f64 (sqrt.f64 x) y (+.f64 x #s(literal 1 binary64)))
(+.f64 x (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) (*.f64 y (sqrt.f64 x)) (+.f64 x #s(literal 1 binary64)))
(fma.f64 (sqrt.f64 x) y (+.f64 x #s(literal 1 binary64)))
(+.f64 x (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64)) (*.f64 y (sqrt.f64 x)))
(fma.f64 (sqrt.f64 x) y (+.f64 x #s(literal 1 binary64)))
(+.f64 x (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64)) (neg.f64 (*.f64 y (sqrt.f64 x))))
(+.f64 x (-.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) y)))
(fma.f64 (sqrt.f64 x) y (+.f64 x #s(literal 1 binary64)))
(+.f64 x (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64)))
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) #s(literal 2 binary64)) (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (*.f64 y (sqrt.f64 x)))
(fma.f64 (sqrt.f64 x) y (+.f64 x #s(literal 1 binary64)))
(+.f64 x (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64)))
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) #s(literal 2 binary64)) (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (neg.f64 (*.f64 y (sqrt.f64 x))))
(+.f64 x (-.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) y)))
(fma.f64 (cbrt.f64 (*.f64 x (pow.f64 y #s(literal 2 binary64)))) (cbrt.f64 (*.f64 y (sqrt.f64 x))) (+.f64 x #s(literal 1 binary64)))
(fma.f64 (cbrt.f64 (*.f64 x (pow.f64 y #s(literal 2 binary64)))) (cbrt.f64 (*.f64 (sqrt.f64 x) y)) (+.f64 x #s(literal 1 binary64)))
(fma.f64 (hypot.f64 #s(literal 1 binary64) (sqrt.f64 x)) (hypot.f64 #s(literal 1 binary64) (sqrt.f64 x)) (*.f64 y (sqrt.f64 x)))
(fma.f64 (sqrt.f64 x) y (+.f64 x #s(literal 1 binary64)))
(+.f64 x (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64)))
(fma.f64 (hypot.f64 #s(literal 1 binary64) (sqrt.f64 x)) (hypot.f64 #s(literal 1 binary64) (sqrt.f64 x)) (neg.f64 (*.f64 y (sqrt.f64 x))))
(+.f64 x (-.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) y)))
(fma.f64 (sqrt.f64 (*.f64 y (sqrt.f64 x))) (sqrt.f64 (*.f64 y (sqrt.f64 x))) (+.f64 x #s(literal 1 binary64)))
(fma.f64 (sqrt.f64 x) y (+.f64 x #s(literal 1 binary64)))
(+.f64 x (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64)))

eval575.0ms (7.9%)

Compiler

Compiled 11361 to 2323 computations (79.6% saved)

prune155.0ms (2.1%)

Pruning

25 alts after pruning (15 fresh and 10 done)

PrunedKeptTotal
New83010840
Fresh156
Picked145
Done066
Total83225857
Accuracy
100.0%
Counts
857 → 25
Alt Table
Click to see full alt table
StatusAccuracyProgram
29.9%
(pow.f64 (*.f64 (pow.f64 x #s(literal -1/2 binary64)) (*.f64 x y)) #s(literal 1 binary64))
49.9%
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (neg.f64 x) (neg.f64 x))) (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))))
20.3%
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (neg.f64 x) (neg.f64 x))) x)
29.8%
(/.f64 (*.f64 y x) (sqrt.f64 x))
7.8%
(/.f64 (*.f64 y x) y)
36.3%
(/.f64 (neg.f64 (*.f64 y x)) y)
28.5%
(/.f64 x (/.f64 (sqrt.f64 x) y))
69.0%
(-.f64 #s(literal 1 binary64) x)
69.0%
(+.f64 (-.f64 #s(literal 2 binary64) x) #s(literal -1 binary64))
99.9%
(+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (sqrt.f64 x)))
79.9%
(+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (cbrt.f64 (pow.f64 x #s(literal 3/2 binary64)))))
67.8%
(+.f64 (neg.f64 x) (*.f64 y (sqrt.f64 x)))
62.2%
(+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) y))
3.1%
(+.f64 #s(literal 0 binary64) x)
32.2%
(*.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1 binary64))
24.6%
(*.f64 y (/.f64 x (neg.f64 y)))
3.0%
(*.f64 y (/.f64 x y))
54.6%
(*.f64 y (-.f64 (sqrt.f64 x) (/.f64 x y)))
3.0%
(*.f64 y (*.f64 (/.f64 #s(literal 1 binary64) y) x))
32.1%
(*.f64 y (sqrt.f64 x))
28.0%
(*.f64 x (/.f64 y (sqrt.f64 x)))
68.6%
(*.f64 x (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)))
28.0%
(*.f64 x (*.f64 y (pow.f64 x #s(literal -1/2 binary64))))
37.8%
(neg.f64 x)
32.2%
#s(literal 1 binary64)
Compiler

Compiled 548 to 252 computations (54% saved)

regimes38.0ms (0.5%)

Counts
40 → 1
Calls
Call 1
Inputs
#s(literal 1 binary64)
(neg.f64 x)
(+.f64 #s(literal 0 binary64) x)
(-.f64 #s(literal 1 binary64) x)
(*.f64 y (/.f64 x y))
(*.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1 binary64))
(+.f64 (-.f64 #s(literal 2 binary64) x) #s(literal -1 binary64))
(/.f64 (*.f64 y x) y)
(*.f64 y (/.f64 x (neg.f64 y)))
(/.f64 (neg.f64 (*.f64 y x)) y)
(*.f64 x (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)))
(*.f64 y (*.f64 (/.f64 #s(literal 1 binary64) y) x))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (neg.f64 x) (neg.f64 x))) x)
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (neg.f64 x) (neg.f64 x))) (-.f64 #s(literal 1 binary64) (neg.f64 x)))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (neg.f64 x) (neg.f64 x))) (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))))
(*.f64 y (sqrt.f64 x))
(*.f64 x (/.f64 y (sqrt.f64 x)))
(+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) y))
(/.f64 x (/.f64 (sqrt.f64 x) y))
(/.f64 (*.f64 y x) (sqrt.f64 x))
(*.f64 x (*.f64 y (pow.f64 x #s(literal -1/2 binary64))))
(+.f64 (neg.f64 x) (*.f64 y (sqrt.f64 x)))
(*.f64 y (-.f64 (sqrt.f64 x) (/.f64 x y)))
(+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (sqrt.f64 x)))
(*.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 y (/.f64 (-.f64 x (*.f64 (/.f64 x (neg.f64 y)) (/.f64 x (neg.f64 y)))) (-.f64 (sqrt.f64 x) (/.f64 x (neg.f64 y)))))
(+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (cbrt.f64 x) #s(literal 3/2 binary64)) y))
(+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (pow.f64 x #s(literal 1/4 binary64)) #s(literal 2 binary64)) y))
(pow.f64 (*.f64 (pow.f64 x #s(literal -1/2 binary64)) (*.f64 x y)) #s(literal 1 binary64))
(+.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 y (cbrt.f64 (pow.f64 x #s(literal 3/2 binary64)))))
(+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (pow.f64 (pow.f64 x #s(literal 1/4 binary64)) #s(literal 2 binary64))))
(+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 (pow.f64 x #s(literal 1/4 binary64)) (*.f64 (pow.f64 x #s(literal 1/4 binary64)) y)))
(/.f64 (-.f64 (*.f64 x (pow.f64 y #s(literal 2 binary64))) #s(literal 1 binary64)) (-.f64 (*.f64 y (sqrt.f64 x)) #s(literal 1 binary64)))
(+.f64 (-.f64 #s(literal 1 binary64) x) (cbrt.f64 (pow.f64 (*.f64 y (sqrt.f64 x)) #s(literal 3 binary64))))
(+.f64 (-.f64 #s(literal 1 binary64) x) (pow.f64 (cbrt.f64 (*.f64 y (sqrt.f64 x))) #s(literal 3 binary64)))
(+.f64 (-.f64 #s(literal 1 binary64) x) (pow.f64 (sqrt.f64 (*.f64 y (sqrt.f64 x))) #s(literal 2 binary64)))
(/.f64 (-.f64 (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))))
(fma.f64 (*.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (cbrt.f64 y) (-.f64 #s(literal 1 binary64) x))
Outputs
(+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (sqrt.f64 x)))
Calls

3 calls:

13.0ms
(+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (sqrt.f64 x)))
12.0ms
x
11.0ms
y
Results
AccuracySegmentsBranch
99.9%1x
99.9%1y
99.9%1(+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (sqrt.f64 x)))
Compiler

Compiled 16 to 11 computations (31.3% saved)

regimes147.0ms (2%)

Counts
23 → 2
Calls
Call 1
Inputs
#s(literal 1 binary64)
(neg.f64 x)
(+.f64 #s(literal 0 binary64) x)
(-.f64 #s(literal 1 binary64) x)
(*.f64 y (/.f64 x y))
(*.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1 binary64))
(+.f64 (-.f64 #s(literal 2 binary64) x) #s(literal -1 binary64))
(/.f64 (*.f64 y x) y)
(*.f64 y (/.f64 x (neg.f64 y)))
(/.f64 (neg.f64 (*.f64 y x)) y)
(*.f64 x (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)))
(*.f64 y (*.f64 (/.f64 #s(literal 1 binary64) y) x))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (neg.f64 x) (neg.f64 x))) x)
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (neg.f64 x) (neg.f64 x))) (-.f64 #s(literal 1 binary64) (neg.f64 x)))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (neg.f64 x) (neg.f64 x))) (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))))
(*.f64 y (sqrt.f64 x))
(*.f64 x (/.f64 y (sqrt.f64 x)))
(+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) y))
(/.f64 x (/.f64 (sqrt.f64 x) y))
(/.f64 (*.f64 y x) (sqrt.f64 x))
(*.f64 x (*.f64 y (pow.f64 x #s(literal -1/2 binary64))))
(+.f64 (neg.f64 x) (*.f64 y (sqrt.f64 x)))
(*.f64 y (-.f64 (sqrt.f64 x) (/.f64 x y)))
Outputs
(+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) y))
(+.f64 (neg.f64 x) (*.f64 y (sqrt.f64 x)))
Calls

2 calls:

139.0ms
x
7.0ms
y
Results
AccuracySegmentsBranch
98.4%2x
96.5%3y
Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes20.0ms (0.3%)

Counts
21 → 3
Calls
Call 1
Inputs
#s(literal 1 binary64)
(neg.f64 x)
(+.f64 #s(literal 0 binary64) x)
(-.f64 #s(literal 1 binary64) x)
(*.f64 y (/.f64 x y))
(*.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1 binary64))
(+.f64 (-.f64 #s(literal 2 binary64) x) #s(literal -1 binary64))
(/.f64 (*.f64 y x) y)
(*.f64 y (/.f64 x (neg.f64 y)))
(/.f64 (neg.f64 (*.f64 y x)) y)
(*.f64 x (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)))
(*.f64 y (*.f64 (/.f64 #s(literal 1 binary64) y) x))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (neg.f64 x) (neg.f64 x))) x)
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (neg.f64 x) (neg.f64 x))) (-.f64 #s(literal 1 binary64) (neg.f64 x)))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (neg.f64 x) (neg.f64 x))) (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))))
(*.f64 y (sqrt.f64 x))
(*.f64 x (/.f64 y (sqrt.f64 x)))
(+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) y))
(/.f64 x (/.f64 (sqrt.f64 x) y))
(/.f64 (*.f64 y x) (sqrt.f64 x))
(*.f64 x (*.f64 y (pow.f64 x #s(literal -1/2 binary64))))
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:

12.0ms
y
6.0ms
x
Results
AccuracySegmentsBranch
95.3%3y
84.3%2x
Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes6.0ms (0.1%)

Counts
17 → 3
Calls
Call 1
Inputs
#s(literal 1 binary64)
(neg.f64 x)
(+.f64 #s(literal 0 binary64) x)
(-.f64 #s(literal 1 binary64) x)
(*.f64 y (/.f64 x y))
(*.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1 binary64))
(+.f64 (-.f64 #s(literal 2 binary64) x) #s(literal -1 binary64))
(/.f64 (*.f64 y x) y)
(*.f64 y (/.f64 x (neg.f64 y)))
(/.f64 (neg.f64 (*.f64 y x)) y)
(*.f64 x (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)))
(*.f64 y (*.f64 (/.f64 #s(literal 1 binary64) y) x))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (neg.f64 x) (neg.f64 x))) x)
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (neg.f64 x) (neg.f64 x))) (-.f64 #s(literal 1 binary64) (neg.f64 x)))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (neg.f64 x) (neg.f64 x))) (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))))
(*.f64 y (sqrt.f64 x))
(*.f64 x (/.f64 y (sqrt.f64 x)))
Outputs
(*.f64 y (sqrt.f64 x))
(-.f64 #s(literal 1 binary64) x)
(*.f64 y (sqrt.f64 x))
Calls

1 calls:

5.0ms
y
Results
AccuracySegmentsBranch
93.7%3y
Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes14.0ms (0.2%)

Counts
15 → 3
Calls
Call 1
Inputs
#s(literal 1 binary64)
(neg.f64 x)
(+.f64 #s(literal 0 binary64) x)
(-.f64 #s(literal 1 binary64) x)
(*.f64 y (/.f64 x y))
(*.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1 binary64))
(+.f64 (-.f64 #s(literal 2 binary64) x) #s(literal -1 binary64))
(/.f64 (*.f64 y x) y)
(*.f64 y (/.f64 x (neg.f64 y)))
(/.f64 (neg.f64 (*.f64 y x)) y)
(*.f64 x (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)))
(*.f64 y (*.f64 (/.f64 #s(literal 1 binary64) y) x))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (neg.f64 x) (neg.f64 x))) x)
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (neg.f64 x) (neg.f64 x))) (-.f64 #s(literal 1 binary64) (neg.f64 x)))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (neg.f64 x) (neg.f64 x))) (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))))
Outputs
(/.f64 (neg.f64 (*.f64 y x)) y)
(-.f64 #s(literal 1 binary64) x)
(/.f64 (*.f64 y x) y)
Calls

2 calls:

8.0ms
x
5.0ms
y
Results
AccuracySegmentsBranch
69.0%1x
75.8%3y
Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes4.0ms (0.1%)

Counts
9 → 2
Calls
Call 1
Inputs
#s(literal 1 binary64)
(neg.f64 x)
(+.f64 #s(literal 0 binary64) x)
(-.f64 #s(literal 1 binary64) x)
(*.f64 y (/.f64 x y))
(*.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1 binary64))
(+.f64 (-.f64 #s(literal 2 binary64) x) #s(literal -1 binary64))
(/.f64 (*.f64 y x) y)
(*.f64 y (/.f64 x (neg.f64 y)))
Outputs
(-.f64 #s(literal 1 binary64) x)
(/.f64 (*.f64 y x) y)
Calls

1 calls:

3.0ms
y
Results
AccuracySegmentsBranch
74.1%2y
Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes6.0ms (0.1%)

Counts
7 → 1
Calls
Call 1
Inputs
#s(literal 1 binary64)
(neg.f64 x)
(+.f64 #s(literal 0 binary64) x)
(-.f64 #s(literal 1 binary64) x)
(*.f64 y (/.f64 x y))
(*.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1 binary64))
(+.f64 (-.f64 #s(literal 2 binary64) x) #s(literal -1 binary64))
Outputs
(-.f64 #s(literal 1 binary64) x)
Calls

2 calls:

3.0ms
y
3.0ms
x
Results
AccuracySegmentsBranch
69.0%1x
69.0%1y
Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes4.0ms (0.1%)

Counts
3 → 2
Calls
Call 1
Inputs
#s(literal 1 binary64)
(neg.f64 x)
(+.f64 #s(literal 0 binary64) x)
Outputs
#s(literal 1 binary64)
(neg.f64 x)
Calls

2 calls:

2.0ms
y
2.0ms
x
Results
AccuracySegmentsBranch
46.1%5y
68.0%2x
Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes7.0ms (0.1%)

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts
1 → 1
Calls
Call 1
Inputs
#s(literal 1 binary64)
Outputs
#s(literal 1 binary64)
Calls

2 calls:

6.0ms
x
1.0ms
y
Results
AccuracySegmentsBranch
32.2%1y
32.2%1x
Compiler

Compiled 6 to 4 computations (33.3% saved)

bsearch15.0ms (0.2%)

Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
11.0ms
0.038808453296298374
176.7975908525552
Results
7.0ms122×0valid
0.0ms2valid
0.0ms1valid
Compiler

Compiled 167 to 123 computations (26.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 4.0ms
ival-add: 1.0ms (25.9% of total)
ival-mult: 1.0ms (25.9% of total)
ival-sub: 1.0ms (25.9% of total)
ival-sqrt: 1.0ms (25.9% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

bsearch32.0ms (0.4%)

Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
17.0ms
3.2310507943250844e+37
1.657186437454064e+43
12.0ms
-9.402664477986821e+66
-1.4777152405782884e+59
Results
21.0ms288×0valid
Compiler

Compiled 285 to 227 computations (20.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 8.0ms
ival-sub: 2.0ms (25.1% of total)
ival-mult: 2.0ms (25.1% of total)
ival-sqrt: 2.0ms (25.1% of total)
ival-add: 1.0ms (12.5% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

bsearch55.0ms (0.8%)

Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
40.0ms
6.1693574738631014e+53
6.154570985205885e+58
14.0ms
-6.376749446919265e+85
-1.967790010598557e+84
Results
45.0ms256×0valid
Compiler

Compiled 223 to 171 computations (23.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 35.0ms
ival-mult: 30.0ms (86.6% of total)
ival-sub: 2.0ms (5.8% of total)
ival-sqrt: 2.0ms (5.8% of total)
ival-add: 1.0ms (2.9% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

bsearch35.0ms (0.5%)

Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
14.0ms
2.173493007552163e+158
1.875662313107368e+177
15.0ms
-1.3133628069234346e+152
-1.2225769704944615e+141
Results
17.0ms320×0valid
Compiler

Compiled 305 to 221 computations (27.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 9.0ms
ival-sqrt: 3.0ms (33.5% of total)
ival-sub: 2.0ms (22.3% of total)
ival-add: 2.0ms (22.3% of total)
ival-mult: 2.0ms (22.3% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

bsearch16.0ms (0.2%)

Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
13.0ms
2.173493007552163e+158
1.875662313107368e+177
Results
9.0ms160×0valid
Compiler

Compiled 155 to 111 computations (28.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 4.0ms
ival-sub: 1.0ms (22.5% of total)
ival-add: 1.0ms (22.5% of total)
ival-mult: 1.0ms (22.5% of total)
ival-sqrt: 1.0ms (22.5% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

bsearch13.0ms (0.2%)

Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
12.0ms
288500.20022726647
47485127046978.96
Results
8.0ms144×0valid
Compiler

Compiled 96 to 83 computations (13.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 4.0ms
ival-sub: 1.0ms (24.9% of total)
ival-add: 1.0ms (24.9% of total)
ival-mult: 1.0ms (24.9% of total)
ival-sqrt: 1.0ms (24.9% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

simplify41.0ms (0.6%)

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

Useful iterations: 1 (0.0ms)

IterNodesCost
050377
179373
293373
399373
4101373
Stop Event
saturated
Calls
Call 1
Inputs
(+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (sqrt.f64 x)))
(if (<=.f64 x #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) y)) (+.f64 (neg.f64 x) (*.f64 y (sqrt.f64 x))))
(if (<=.f64 y #s(literal -3500000000000000293846712132725826783607127456880330262100049920 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) y)) (if (<=.f64 y #s(literal 599999999999999965034425642576536326373376 binary64)) (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) y))))
(if (<=.f64 y #s(literal -5200000000000000214114542135320615509739340782436715357270955536690672197356455198720 binary64)) (*.f64 y (sqrt.f64 x)) (if (<=.f64 y #s(literal 60000000000000004991496389295465462970677278814214746537984 binary64)) (-.f64 #s(literal 1 binary64) x) (*.f64 y (sqrt.f64 x))))
(if (<=.f64 y #s(literal -9499999999999999613514772430015620643447319164786753247404433003155746611765828018720033769960935008154436559282669237720927605384117293701610340352 binary64)) (/.f64 (neg.f64 (*.f64 y x)) y) (if (<=.f64 y #s(literal 440000000000000023163864984883969188992474248206576740577637087325214998809400207835371152767986680357908738600933547087400057465678964156083962055993138872320 binary64)) (-.f64 #s(literal 1 binary64) x) (/.f64 (*.f64 y x) y)))
(if (<=.f64 y #s(literal 12500000000000000022291874357348979564320455320037674088837690971266187855973744195255858849910537012484612129527622279455475955753953577931719147906570430925766656 binary64)) (-.f64 #s(literal 1 binary64) x) (/.f64 (*.f64 y x) y))
(-.f64 #s(literal 1 binary64) x)
(if (<=.f64 x #s(literal 300000 binary64)) #s(literal 1 binary64) (neg.f64 x))
#s(literal 1 binary64)
Outputs
(+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (sqrt.f64 x)))
(if (<=.f64 x #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) y)) (+.f64 (neg.f64 x) (*.f64 y (sqrt.f64 x))))
(if (<=.f64 x #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 y (sqrt.f64 x))) (+.f64 (*.f64 y (sqrt.f64 x)) (neg.f64 x)))
(if (<=.f64 x #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 y (sqrt.f64 x))) (-.f64 (*.f64 y (sqrt.f64 x)) x))
(if (<=.f64 y #s(literal -3500000000000000293846712132725826783607127456880330262100049920 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) y)) (if (<=.f64 y #s(literal 599999999999999965034425642576536326373376 binary64)) (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) y))))
(if (or (<=.f64 y #s(literal -3500000000000000293846712132725826783607127456880330262100049920 binary64)) (not (<=.f64 y #s(literal 599999999999999965034425642576536326373376 binary64)))) (+.f64 #s(literal 1 binary64) (*.f64 y (sqrt.f64 x))) (-.f64 #s(literal 1 binary64) x))
(if (<=.f64 y #s(literal -5200000000000000214114542135320615509739340782436715357270955536690672197356455198720 binary64)) (*.f64 y (sqrt.f64 x)) (if (<=.f64 y #s(literal 60000000000000004991496389295465462970677278814214746537984 binary64)) (-.f64 #s(literal 1 binary64) x) (*.f64 y (sqrt.f64 x))))
(if (or (<=.f64 y #s(literal -5200000000000000214114542135320615509739340782436715357270955536690672197356455198720 binary64)) (not (<=.f64 y #s(literal 60000000000000004991496389295465462970677278814214746537984 binary64)))) (*.f64 y (sqrt.f64 x)) (-.f64 #s(literal 1 binary64) x))
(if (<=.f64 y #s(literal -9499999999999999613514772430015620643447319164786753247404433003155746611765828018720033769960935008154436559282669237720927605384117293701610340352 binary64)) (/.f64 (neg.f64 (*.f64 y x)) y) (if (<=.f64 y #s(literal 440000000000000023163864984883969188992474248206576740577637087325214998809400207835371152767986680357908738600933547087400057465678964156083962055993138872320 binary64)) (-.f64 #s(literal 1 binary64) x) (/.f64 (*.f64 y x) y)))
(if (<=.f64 y #s(literal -9499999999999999613514772430015620643447319164786753247404433003155746611765828018720033769960935008154436559282669237720927605384117293701610340352 binary64)) (/.f64 (*.f64 y (neg.f64 x)) y) (if (<=.f64 y #s(literal 440000000000000023163864984883969188992474248206576740577637087325214998809400207835371152767986680357908738600933547087400057465678964156083962055993138872320 binary64)) (-.f64 #s(literal 1 binary64) x) (/.f64 (*.f64 x y) y)))
(if (<=.f64 y #s(literal -9499999999999999613514772430015620643447319164786753247404433003155746611765828018720033769960935008154436559282669237720927605384117293701610340352 binary64)) (/.f64 (*.f64 x y) (neg.f64 y)) (if (<=.f64 y #s(literal 440000000000000023163864984883969188992474248206576740577637087325214998809400207835371152767986680357908738600933547087400057465678964156083962055993138872320 binary64)) (-.f64 #s(literal 1 binary64) x) (/.f64 (*.f64 x y) y)))
(if (<=.f64 y #s(literal 12500000000000000022291874357348979564320455320037674088837690971266187855973744195255858849910537012484612129527622279455475955753953577931719147906570430925766656 binary64)) (-.f64 #s(literal 1 binary64) x) (/.f64 (*.f64 y x) y))
(if (<=.f64 y #s(literal 12500000000000000022291874357348979564320455320037674088837690971266187855973744195255858849910537012484612129527622279455475955753953577931719147906570430925766656 binary64)) (-.f64 #s(literal 1 binary64) x) (/.f64 (*.f64 x y) y))
(-.f64 #s(literal 1 binary64) x)
(if (<=.f64 x #s(literal 300000 binary64)) #s(literal 1 binary64) (neg.f64 x))
#s(literal 1 binary64)

soundness1.1s (15.3%)

Rules
849×log1p-expm1-u
775×log1p-expm1-u
775×expm1-log1p-u
750×distribute-lft-in
665×unpow-prod-down
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
026295
1449195
26789195
052810996
1114410609
2396710468
074923390
1154721488
2500020683
01367
115563
2209463
05559289
111598209
236218030
Stop Event
fuel
node limit
node limit
node limit
node limit
node limit
Compiler

Compiled 334 to 142 computations (57.5% saved)

preprocess81.0ms (1.1%)

Compiler

Compiled 230 to 98 computations (57.4% saved)

end0.0ms (0%)

Profiling

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