2isqrt (example 3.6)

Time bar (total: 10.1s)

analyze0.0ms (0%)

Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%25%75%0%0%0%0
100%25%0%75%0%0%0%1
Compiler

Compiled 19 to 15 computations (21.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 0.0ms
ival-div: 0.0ms (0% of total)
ival-sub: 0.0ms (0% of total)
ival-add: 0.0ms (0% of total)
ival-and: 0.0ms (0% of total)
const: 0.0ms (0% of total)
ival-sqrt: 0.0ms (0% of total)
ival->: 0.0ms (0% of total)
ival-<: 0.0ms (0% of total)

sample2.3s (23.1%)

Results
1.6s7007×1valid
283.0ms954×2valid
27.0ms295×0valid
Precisions
Click to see histograms. Total time spent on operations: 1.5s
ival-sqrt: 568.0ms (38% of total)
ival-div: 278.0ms (18.6% of total)
backward-pass: 233.0ms (15.6% of total)
ival-add: 107.0ms (7.2% of total)
ival-sub: 96.0ms (6.4% of total)
ival->: 88.0ms (5.9% of total)
ival-<: 62.0ms (4.1% of total)
const: 45.0ms (3% of total)
ival-and: 20.0ms (1.3% of total)
Bogosity

preprocess77.0ms (0.8%)

Algorithm
egg-herbie
Rules
97×fma-define
86×fma-neg
41×sub-neg
28×neg-mul-1
27×associate--r+
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
021176
137168
272164
3129164
4204164
5316164
6419164
7509164
8585164
9639164
10682164
11690164
12692164
Stop Event
saturated
Calls
Call 1
Inputs
(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))
(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))
(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (neg.f64 x))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 (neg.f64 x) #s(literal 1 binary64)))))
(neg.f64 (-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (neg.f64 x))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 (neg.f64 x) #s(literal 1 binary64))))))
Outputs
(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))
(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))))
(+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal -1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))))
(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))
(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))))
(+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal -1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))))
(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (neg.f64 x))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 (neg.f64 x) #s(literal 1 binary64)))))
(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (neg.f64 x))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) (neg.f64 x)))))
(+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (neg.f64 x))) (/.f64 #s(literal -1 binary64) (sqrt.f64 (-.f64 #s(literal 1 binary64) x))))
(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (neg.f64 x))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 #s(literal 1 binary64) x))))
(neg.f64 (-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (neg.f64 x))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 (neg.f64 x) #s(literal 1 binary64))))))
(neg.f64 (-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (neg.f64 x))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) (neg.f64 x))))))
(neg.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (neg.f64 x))) (/.f64 #s(literal -1 binary64) (sqrt.f64 (-.f64 #s(literal 1 binary64) x)))))
(+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 #s(literal 1 binary64) x))) (/.f64 #s(literal -1 binary64) (sqrt.f64 (neg.f64 x))))

explain251.0ms (2.5%)

FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
1871(1.0602896759174988e+215)0-(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))
00-0-x
00-0-(sqrt.f64 (+.f64 x #s(literal 1 binary64)))
00-0-#s(literal 1 binary64)
00-0-(/.f64 #s(literal 1 binary64) (sqrt.f64 x))
00-0-(/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))
00-0-(sqrt.f64 x)
00-0-(+.f64 x #s(literal 1 binary64))
Results
133.0ms286×1024valid
48.0ms134×512valid
12.0ms92×256valid
Compiler

Compiled 80 to 58 computations (27.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 125.0ms
ival-sqrt: 40.0ms (32% of total)
ival-div: 34.0ms (27.2% of total)
ival-add: 34.0ms (27.2% of total)
ival-sub: 12.0ms (9.6% of total)
const: 5.0ms (4% of total)

eval0.0ms (0%)

Compiler

Compiled 23 to 18 computations (21.7% saved)

prune1.0ms (0%)

Alt Table
Click to see full alt table
StatusAccuracyProgram
34.7%
(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))
Compiler

Compiled 12 to 10 computations (16.7% saved)

localize112.0ms (1.1%)

Localize:

Found 3 expressions with local error:

NewAccuracyProgram
99.6%
(/.f64 #s(literal 1 binary64) (sqrt.f64 x))
99.6%
(/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))
34.8%
(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))
Results
62.0ms143×1024valid
17.0ms67×512valid
6.0ms46×256valid
Compiler

Compiled 34 to 24 computations (29.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 60.0ms
ival-div: 23.0ms (38.4% of total)
ival-sqrt: 19.0ms (31.7% of total)
ival-add: 13.0ms (21.7% of total)
const: 3.0ms (5% of total)
ival-sub: 3.0ms (5% of total)

series8.0ms (0.1%)

Counts
3 → 36
Calls
Call 1
Inputs
#<alt (-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))>
#<alt (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))>
#<alt (/.f64 #s(literal 1 binary64) (sqrt.f64 x))>
Outputs
#<alt (sqrt.f64 (/.f64 #s(literal 1 binary64) x))>
#<alt (/.f64 (+.f64 (sqrt.f64 x) (*.f64 #s(literal -1 binary64) x)) x)>
#<alt (/.f64 (+.f64 (sqrt.f64 x) (*.f64 x (-.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64)))) x)>
#<alt (/.f64 (+.f64 (sqrt.f64 x) (*.f64 x (-.f64 (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -3/8 binary64) x))) #s(literal 1 binary64)))) x)>
#<alt (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))))>
#<alt (/.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (*.f64 #s(literal -1/2 binary64) (sqrt.f64 x))) (pow.f64 x #s(literal 2 binary64)))>
#<alt (/.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) x)))) (+.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 x)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))) (pow.f64 x #s(literal 2 binary64)))>
#<alt (/.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x)))) (+.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 x)) (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) x)))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))) (pow.f64 x #s(literal 2 binary64)))>
#<alt (-.f64 (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))))>
#<alt (-.f64 (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))>
#<alt (-.f64 (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))))) (+.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))>
#<alt (-.f64 (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/4 binary64) (/.f64 x (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))))) (*.f64 #s(literal -1/2 binary64) (sqrt.f64 x))) (pow.f64 x #s(literal 3 binary64))))) (+.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))>
#<alt #s(literal 1 binary64)>
#<alt (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) x))>
#<alt (+.f64 #s(literal 1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal 3/8 binary64) x) #s(literal 1/2 binary64))))>
#<alt (+.f64 #s(literal 1 binary64) (*.f64 x (-.f64 (*.f64 x (+.f64 #s(literal 3/8 binary64) (*.f64 #s(literal -5/16 binary64) x))) #s(literal 1/2 binary64))))>
#<alt (sqrt.f64 (/.f64 #s(literal 1 binary64) x))>
#<alt (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))))))>
#<alt (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (+.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))))))>
#<alt (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (+.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))))) (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 7 binary64)))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) x)))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 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 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))>
#<alt (+.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))))) (+.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 x)) (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/4 binary64) (/.f64 x (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))))) (pow.f64 x #s(literal 3 binary64)))) (+.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (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))>
#<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))>
#<alt (sqrt.f64 (/.f64 #s(literal 1 binary64) x))>
#<alt (sqrt.f64 (/.f64 #s(literal 1 binary64) x))>
Calls

9 calls:

TimeVariablePointExpression
1.0ms
x
@-inf
(- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1))))
1.0ms
x
@inf
(- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1))))
1.0ms
x
@-inf
(/ 1 (sqrt x))
0.0ms
x
@0
(- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1))))
0.0ms
x
@-inf
(/ 1 (sqrt (+ x 1)))

rewrite230.0ms (2.3%)

Algorithm
batch-egg-rewrite
Rules
892×log1p-expm1-u
892×expm1-log1p-u
810×prod-diff
349×fma-define
201×fma-neg
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01373
118757
2263157
Stop Event
node limit
Counts
3 → 162
Calls
Call 1
Inputs
(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))
(/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (sqrt.f64 x))
Outputs
(+.f64 (pow.f64 x #s(literal -1/2 binary64)) (/.f64 #s(literal -1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))))
(+.f64 (pow.f64 x #s(literal -1/2 binary64)) (*.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) #s(literal 1 binary64)))
(+.f64 (-.f64 (pow.f64 x #s(literal -1/2 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64))) (fma.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64))))
(+.f64 (-.f64 (pow.f64 x #s(literal -1/2 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64))) (fma.f64 (neg.f64 (cbrt.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)))) (cbrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x))) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64))))
(+.f64 (-.f64 (pow.f64 x #s(literal -1/2 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64))) (+.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64))))
(+.f64 (-.f64 (pow.f64 x #s(literal -1/2 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64))) (fma.f64 #s(literal -1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64))))
(+.f64 (-.f64 (pow.f64 x #s(literal -1/2 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64))) (fma.f64 (neg.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)))) (cbrt.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64))) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64))))
(+.f64 (-.f64 (pow.f64 x #s(literal -1/2 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64))) (fma.f64 (neg.f64 (pow.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1/4 binary64)) #s(literal -1 binary64))) (pow.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1/4 binary64)) #s(literal -1 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64))))
(+.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (pow.f64 x #s(literal -1/2 binary64)))
(+.f64 (fma.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -1/2 binary64)) (neg.f64 (*.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) #s(literal -1 binary64)))) (fma.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)) #s(literal -1 binary64) (*.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) #s(literal -1 binary64))))
(+.f64 (fma.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -1/2 binary64)) (neg.f64 (*.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) #s(literal -1 binary64)) (pow.f64 (cbrt.f64 (+.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64))))) (fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) #s(literal -1 binary64))) (pow.f64 (cbrt.f64 (+.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64)) (*.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) #s(literal -1 binary64)) (pow.f64 (cbrt.f64 (+.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64)))))
(+.f64 (fma.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64) (neg.f64 (*.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) #s(literal -1 binary64)))) (fma.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)) #s(literal -1 binary64) (*.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) #s(literal -1 binary64))))
(+.f64 (fma.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64) (neg.f64 (*.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) #s(literal -1 binary64)) (pow.f64 (cbrt.f64 (+.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64))))) (fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) #s(literal -1 binary64))) (pow.f64 (cbrt.f64 (+.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64)) (*.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) #s(literal -1 binary64)) (pow.f64 (cbrt.f64 (+.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64)))))
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(-.f64 (exp.f64 (log1p.f64 (pow.f64 x #s(literal -1/2 binary64)))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -1/2 binary64)))
(*.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 (sqrt.f64 x))))
(*.f64 (cbrt.f64 (pow.f64 x #s(literal -1/2 binary64))) (cbrt.f64 (/.f64 #s(literal 1 binary64) x)))
(*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) x)) (cbrt.f64 (pow.f64 x #s(literal -1/2 binary64))))
(*.f64 (pow.f64 (sqrt.f64 x) #s(literal -1/2 binary64)) (pow.f64 (sqrt.f64 x) #s(literal -1/2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 x) #s(literal -1 binary64)) (pow.f64 (cbrt.f64 (sqrt.f64 x)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (pow.f64 x #s(literal 1/4 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 x #s(literal 1/4 binary64)) #s(literal -1 binary64)))
(pow.f64 x #s(literal -1/2 binary64))
(pow.f64 (sqrt.f64 x) #s(literal -1 binary64))
(pow.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (pow.f64 x #s(literal -1/2 binary64))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (sqrt.f64 x) #s(literal -3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (pow.f64 (sqrt.f64 x) #s(literal -1/2 binary64)) #s(literal 2 binary64))
(neg.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 x)))
(sqrt.f64 (/.f64 #s(literal 1 binary64) x))
(log.f64 (exp.f64 (pow.f64 x #s(literal -1/2 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (pow.f64 x #s(literal -1/2 binary64)))))
(cbrt.f64 (pow.f64 (sqrt.f64 x) #s(literal -3 binary64)))
(expm1.f64 (log1p.f64 (pow.f64 x #s(literal -1/2 binary64))))
(log1p.f64 (expm1.f64 (pow.f64 x #s(literal -1/2 binary64))))
(exp.f64 (log.f64 (pow.f64 x #s(literal -1/2 binary64))))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 x)) #s(literal -1 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 x #s(literal -1/2 binary64))) #s(literal 1 binary64)))

simplify242.0ms (2.4%)

Algorithm
egg-herbie
Rules
702×times-frac
472×fma-neg
362×associate-+l+
336×associate-+r+
233×distribute-rgt-in
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
041611678
198810953
229538202
Stop Event
node limit
Counts
198 → 288
Calls
Call 1
Inputs
(sqrt.f64 (/.f64 #s(literal 1 binary64) x))
(/.f64 (+.f64 (sqrt.f64 x) (*.f64 #s(literal -1 binary64) x)) x)
(/.f64 (+.f64 (sqrt.f64 x) (*.f64 x (-.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64)))) x)
(/.f64 (+.f64 (sqrt.f64 x) (*.f64 x (-.f64 (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -3/8 binary64) x))) #s(literal 1 binary64)))) x)
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))))
(/.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (*.f64 #s(literal -1/2 binary64) (sqrt.f64 x))) (pow.f64 x #s(literal 2 binary64)))
(/.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) x)))) (+.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 x)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))) (pow.f64 x #s(literal 2 binary64)))
(/.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x)))) (+.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 x)) (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) x)))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))) (pow.f64 x #s(literal 2 binary64)))
(-.f64 (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 (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))
(-.f64 (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))))) (+.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))
(-.f64 (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/4 binary64) (/.f64 x (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))))) (*.f64 #s(literal -1/2 binary64) (sqrt.f64 x))) (pow.f64 x #s(literal 3 binary64))))) (+.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))
#s(literal 1 binary64)
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) x))
(+.f64 #s(literal 1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal 3/8 binary64) x) #s(literal 1/2 binary64))))
(+.f64 #s(literal 1 binary64) (*.f64 x (-.f64 (*.f64 x (+.f64 #s(literal 3/8 binary64) (*.f64 #s(literal -5/16 binary64) x))) #s(literal 1/2 binary64))))
(sqrt.f64 (/.f64 #s(literal 1 binary64) x))
(+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))))))
(+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (+.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))))))
(+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (+.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))))) (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 7 binary64)))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) x)))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64))))))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))
(+.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))
(+.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))))) (+.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))
(+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 x)) (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/4 binary64) (/.f64 x (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))))) (pow.f64 x #s(literal 3 binary64)))) (+.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (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))
(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 (pow.f64 x #s(literal -1/2 binary64)) (/.f64 #s(literal -1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))))
(+.f64 (pow.f64 x #s(literal -1/2 binary64)) (*.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) #s(literal 1 binary64)))
(+.f64 (-.f64 (pow.f64 x #s(literal -1/2 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64))) (fma.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64))))
(+.f64 (-.f64 (pow.f64 x #s(literal -1/2 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64))) (fma.f64 (neg.f64 (cbrt.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)))) (cbrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x))) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64))))
(+.f64 (-.f64 (pow.f64 x #s(literal -1/2 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64))) (+.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64))))
(+.f64 (-.f64 (pow.f64 x #s(literal -1/2 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64))) (fma.f64 #s(literal -1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64))))
(+.f64 (-.f64 (pow.f64 x #s(literal -1/2 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64))) (fma.f64 (neg.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)))) (cbrt.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64))) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64))))
(+.f64 (-.f64 (pow.f64 x #s(literal -1/2 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64))) (fma.f64 (neg.f64 (pow.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1/4 binary64)) #s(literal -1 binary64))) (pow.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1/4 binary64)) #s(literal -1 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64))))
(+.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (pow.f64 x #s(literal -1/2 binary64)))
(+.f64 (fma.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -1/2 binary64)) (neg.f64 (*.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) #s(literal -1 binary64)))) (fma.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)) #s(literal -1 binary64) (*.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) #s(literal -1 binary64))))
(+.f64 (fma.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -1/2 binary64)) (neg.f64 (*.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) #s(literal -1 binary64)) (pow.f64 (cbrt.f64 (+.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64))))) (fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) #s(literal -1 binary64))) (pow.f64 (cbrt.f64 (+.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64)) (*.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) #s(literal -1 binary64)) (pow.f64 (cbrt.f64 (+.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64)))))
(+.f64 (fma.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64) (neg.f64 (*.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) #s(literal -1 binary64)))) (fma.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)) #s(literal -1 binary64) (*.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) #s(literal -1 binary64))))
(+.f64 (fma.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64) (neg.f64 (*.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) #s(literal -1 binary64)) (pow.f64 (cbrt.f64 (+.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64))))) (fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) #s(literal -1 binary64))) (pow.f64 (cbrt.f64 (+.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64)) (*.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) #s(literal -1 binary64)) (pow.f64 (cbrt.f64 (+.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64)))))
(+.f64 (fma.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 (sqrt.f64 x))) (neg.f64 (*.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) #s(literal -1 binary64)))) (fma.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)) #s(literal -1 binary64) (*.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) #s(literal -1 binary64))))
(+.f64 (fma.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 (sqrt.f64 x))) (neg.f64 (*.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) #s(literal -1 binary64)) (pow.f64 (cbrt.f64 (+.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64))))) (fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) #s(literal -1 binary64))) (pow.f64 (cbrt.f64 (+.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64)) (*.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) #s(literal -1 binary64)) (pow.f64 (cbrt.f64 (+.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64)))))
(+.f64 (fma.f64 (cbrt.f64 (pow.f64 x #s(literal -1/2 binary64))) (cbrt.f64 (/.f64 #s(literal 1 binary64) x)) (neg.f64 (*.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) #s(literal -1 binary64)))) (fma.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)) #s(literal -1 binary64) (*.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) #s(literal -1 binary64))))
(+.f64 (fma.f64 (cbrt.f64 (pow.f64 x #s(literal -1/2 binary64))) (cbrt.f64 (/.f64 #s(literal 1 binary64) x)) (neg.f64 (*.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) #s(literal -1 binary64)) (pow.f64 (cbrt.f64 (+.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64))))) (fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) #s(literal -1 binary64))) (pow.f64 (cbrt.f64 (+.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64)) (*.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) #s(literal -1 binary64)) (pow.f64 (cbrt.f64 (+.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64)))))
(+.f64 (fma.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) x)) (cbrt.f64 (pow.f64 x #s(literal -1/2 binary64))) (neg.f64 (*.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) #s(literal -1 binary64)))) (fma.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)) #s(literal -1 binary64) (*.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) #s(literal -1 binary64))))
(+.f64 (fma.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) x)) (cbrt.f64 (pow.f64 x #s(literal -1/2 binary64))) (neg.f64 (*.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) #s(literal -1 binary64)) (pow.f64 (cbrt.f64 (+.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64))))) (fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) #s(literal -1 binary64))) (pow.f64 (cbrt.f64 (+.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64)) (*.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) #s(literal -1 binary64)) (pow.f64 (cbrt.f64 (+.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64)))))
(+.f64 (fma.f64 (pow.f64 (sqrt.f64 x) #s(literal -1/2 binary64)) (pow.f64 (sqrt.f64 x) #s(literal -1/2 binary64)) (neg.f64 (*.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) #s(literal -1 binary64)))) (fma.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)) #s(literal -1 binary64) (*.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) #s(literal -1 binary64))))
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(fma.f64 (pow.f64 (cbrt.f64 (-.f64 (pow.f64 x #s(literal -1/2 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)))) #s(literal 2 binary64)) (cbrt.f64 (-.f64 (pow.f64 x #s(literal -1/2 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)))) (+.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64))))
(fma.f64 (pow.f64 (sqrt.f64 x) #s(literal -1/2 binary64)) (pow.f64 (sqrt.f64 x) #s(literal -1/2 binary64)) (/.f64 #s(literal -1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))))
(fma.f64 (pow.f64 (sqrt.f64 x) #s(literal -1/2 binary64)) (pow.f64 (sqrt.f64 x) #s(literal -1/2 binary64)) (*.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) #s(literal 1 binary64)))
(fma.f64 (sqrt.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64))) (neg.f64 (sqrt.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)))) (pow.f64 x #s(literal -1/2 binary64)))
(fma.f64 (sqrt.f64 (-.f64 (pow.f64 x #s(literal -1/2 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)))) (sqrt.f64 (-.f64 (pow.f64 x #s(literal -1/2 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)))) (fma.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64))))
(fma.f64 (sqrt.f64 (-.f64 (pow.f64 x #s(literal -1/2 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)))) (sqrt.f64 (-.f64 (pow.f64 x #s(literal -1/2 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)))) (fma.f64 (neg.f64 (cbrt.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)))) (cbrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x))) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64))))
(fma.f64 (sqrt.f64 (-.f64 (pow.f64 x #s(literal -1/2 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)))) (sqrt.f64 (-.f64 (pow.f64 x #s(literal -1/2 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)))) (+.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64))))
(fma.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)) (/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)) (sqrt.f64 x)) (fma.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64))))
(fma.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)) (/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)) (sqrt.f64 x)) (fma.f64 (neg.f64 (cbrt.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)))) (cbrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x))) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64))))
(fma.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)) (/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)) (sqrt.f64 x)) (+.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64))))
(fma.f64 (-.f64 (pow.f64 (sqrt.f64 x) #s(literal -3 binary64)) (pow.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) #s(literal -3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)) (+.f64 (pow.f64 x #s(literal -1/2 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64))) (/.f64 #s(literal 1 binary64) x))) (fma.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64))))
(fma.f64 (-.f64 (pow.f64 (sqrt.f64 x) #s(literal -3 binary64)) (pow.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) #s(literal -3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)) (+.f64 (pow.f64 x #s(literal -1/2 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64))) (/.f64 #s(literal 1 binary64) x))) (fma.f64 (neg.f64 (cbrt.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)))) (cbrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x))) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64))))
(fma.f64 (-.f64 (pow.f64 (sqrt.f64 x) #s(literal -3 binary64)) (pow.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) #s(literal -3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)) (+.f64 (pow.f64 x #s(literal -1/2 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64))) (/.f64 #s(literal 1 binary64) x))) (+.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64))))
(fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 x #s(literal -1/2 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)))) (fma.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64))))
(fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 x #s(literal -1/2 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)))) (fma.f64 (neg.f64 (cbrt.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)))) (cbrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x))) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64))))
(fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 x #s(literal -1/2 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)))) (+.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64))))
(fma.f64 (neg.f64 (sqrt.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)))) (sqrt.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64))) (pow.f64 x #s(literal -1/2 binary64)))
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal -1 binary64)) (pow.f64 (cbrt.f64 (sqrt.f64 x)) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))))
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal -1 binary64)) (pow.f64 (cbrt.f64 (sqrt.f64 x)) #s(literal -1 binary64)) (*.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) #s(literal 1 binary64)))
(fma.f64 (pow.f64 (pow.f64 x #s(literal 1/4 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 x #s(literal 1/4 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))))
(fma.f64 (pow.f64 (pow.f64 x #s(literal 1/4 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 x #s(literal 1/4 binary64)) #s(literal -1 binary64)) (*.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) #s(literal 1 binary64)))
(fma.f64 (*.f64 (cbrt.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) x)))) (cbrt.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))))) (cbrt.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) x)))) (pow.f64 x #s(literal -1/2 binary64)))
(fma.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) x)))) (sqrt.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) x)))) (pow.f64 x #s(literal -1/2 binary64)))
(fma.f64 (+.f64 (pow.f64 (sqrt.f64 x) #s(literal -1/2 binary64)) (sqrt.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)))) (-.f64 (pow.f64 (sqrt.f64 x) #s(literal -1/2 binary64)) (sqrt.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)))) (fma.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64))))
(fma.f64 (+.f64 (pow.f64 (sqrt.f64 x) #s(literal -1/2 binary64)) (sqrt.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)))) (-.f64 (pow.f64 (sqrt.f64 x) #s(literal -1/2 binary64)) (sqrt.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)))) (fma.f64 (neg.f64 (cbrt.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)))) (cbrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x))) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64))))
(fma.f64 (+.f64 (pow.f64 (sqrt.f64 x) #s(literal -1/2 binary64)) (sqrt.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)))) (-.f64 (pow.f64 (sqrt.f64 x) #s(literal -1/2 binary64)) (sqrt.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)))) (+.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64))))
(fma.f64 (neg.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)))) (cbrt.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64))) (pow.f64 x #s(literal -1/2 binary64)))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)))
(*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64))) (cbrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x))))
(*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x))) (cbrt.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64))))
(*.f64 (sqrt.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64))) (sqrt.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64))))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64)) (pow.f64 (cbrt.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) #s(literal -1 binary64)))
(*.f64 (pow.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1/4 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1/4 binary64)) #s(literal -1 binary64)))
(pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64))
(pow.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64))
(pow.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (sqrt.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 -1/2 binary64))) #s(literal 2 binary64))
(neg.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))))
(sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)))
(log.f64 (exp.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)))))
(cbrt.f64 (pow.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) #s(literal -3 binary64)))
(expm1.f64 (log1p.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64))))
(log1p.f64 (expm1.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64))))
(exp.f64 (neg.f64 (*.f64 #s(literal 1/2 binary64) (log1p.f64 x))))
(exp.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (log1p.f64 x)) #s(literal -1 binary64)))
(exp.f64 (*.f64 (neg.f64 (*.f64 #s(literal 1/2 binary64) (log1p.f64 x))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 x #s(literal -1/2 binary64)))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -1/2 binary64)))
(*.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 (sqrt.f64 x))))
(*.f64 (cbrt.f64 (pow.f64 x #s(literal -1/2 binary64))) (cbrt.f64 (/.f64 #s(literal 1 binary64) x)))
(*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) x)) (cbrt.f64 (pow.f64 x #s(literal -1/2 binary64))))
(*.f64 (pow.f64 (sqrt.f64 x) #s(literal -1/2 binary64)) (pow.f64 (sqrt.f64 x) #s(literal -1/2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 x) #s(literal -1 binary64)) (pow.f64 (cbrt.f64 (sqrt.f64 x)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (pow.f64 x #s(literal 1/4 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 x #s(literal 1/4 binary64)) #s(literal -1 binary64)))
(pow.f64 x #s(literal -1/2 binary64))
(pow.f64 (sqrt.f64 x) #s(literal -1 binary64))
(pow.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (pow.f64 x #s(literal -1/2 binary64))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (sqrt.f64 x) #s(literal -3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (pow.f64 (sqrt.f64 x) #s(literal -1/2 binary64)) #s(literal 2 binary64))
(neg.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 x)))
(sqrt.f64 (/.f64 #s(literal 1 binary64) x))
(log.f64 (exp.f64 (pow.f64 x #s(literal -1/2 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (pow.f64 x #s(literal -1/2 binary64)))))
(cbrt.f64 (pow.f64 (sqrt.f64 x) #s(literal -3 binary64)))
(expm1.f64 (log1p.f64 (pow.f64 x #s(literal -1/2 binary64))))
(log1p.f64 (expm1.f64 (pow.f64 x #s(literal -1/2 binary64))))
(exp.f64 (log.f64 (pow.f64 x #s(literal -1/2 binary64))))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 x)) #s(literal -1 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 x #s(literal -1/2 binary64))) #s(literal 1 binary64)))
Outputs
(sqrt.f64 (/.f64 #s(literal 1 binary64) x))
(/.f64 (+.f64 (sqrt.f64 x) (*.f64 #s(literal -1 binary64) x)) x)
(/.f64 (+.f64 (sqrt.f64 x) (neg.f64 x)) x)
(/.f64 (-.f64 (sqrt.f64 x) x) x)
(/.f64 (+.f64 (sqrt.f64 x) (*.f64 x (-.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64)))) x)
(/.f64 (+.f64 (sqrt.f64 x) (*.f64 x (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64)))) x)
(/.f64 (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)) (sqrt.f64 x)) x)
(/.f64 (+.f64 (sqrt.f64 x) (*.f64 x (-.f64 (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -3/8 binary64) x))) #s(literal 1 binary64)))) x)
(/.f64 (+.f64 (sqrt.f64 x) (*.f64 x (fma.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -3/8 binary64))) #s(literal -1 binary64)))) x)
(/.f64 (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -3/8 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) (sqrt.f64 x)) x)
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))))
(/.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (*.f64 #s(literal -1/2 binary64) (sqrt.f64 x))) (pow.f64 x #s(literal 2 binary64)))
(/.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 x))) (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)) (pow.f64 x #s(literal 2 binary64))))
(*.f64 (/.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64))) (-.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)))
(/.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) x)))) (+.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 x)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))) (pow.f64 x #s(literal 2 binary64)))
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(pow.f64 x #s(literal -1/2 binary64))
(expm1.f64 (log1p.f64 (pow.f64 x #s(literal -1/2 binary64))))
(pow.f64 (sqrt.f64 x) #s(literal -1 binary64))
(/.f64 #s(literal 1 binary64) (sqrt.f64 x))
(pow.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64))
(expm1.f64 (log1p.f64 (pow.f64 x #s(literal -1/2 binary64))))
(pow.f64 x #s(literal -1/2 binary64))
(pow.f64 (cbrt.f64 (pow.f64 x #s(literal -1/2 binary64))) #s(literal 3 binary64))
(expm1.f64 (log1p.f64 (pow.f64 x #s(literal -1/2 binary64))))
(pow.f64 x #s(literal -1/2 binary64))
(pow.f64 (pow.f64 (sqrt.f64 x) #s(literal -3 binary64)) #s(literal 1/3 binary64))
(cbrt.f64 (pow.f64 (sqrt.f64 x) #s(literal -3 binary64)))
(pow.f64 (pow.f64 (sqrt.f64 x) #s(literal -1/2 binary64)) #s(literal 2 binary64))
(/.f64 #s(literal 1 binary64) (sqrt.f64 x))
(neg.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 x)))
(/.f64 #s(literal 1 binary64) (sqrt.f64 x))
(sqrt.f64 (/.f64 #s(literal 1 binary64) x))
(log.f64 (exp.f64 (pow.f64 x #s(literal -1/2 binary64))))
(expm1.f64 (log1p.f64 (pow.f64 x #s(literal -1/2 binary64))))
(pow.f64 x #s(literal -1/2 binary64))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (pow.f64 x #s(literal -1/2 binary64)))))
(expm1.f64 (log1p.f64 (pow.f64 x #s(literal -1/2 binary64))))
(pow.f64 x #s(literal -1/2 binary64))
(cbrt.f64 (pow.f64 (sqrt.f64 x) #s(literal -3 binary64)))
(expm1.f64 (log1p.f64 (pow.f64 x #s(literal -1/2 binary64))))
(pow.f64 x #s(literal -1/2 binary64))
(log1p.f64 (expm1.f64 (pow.f64 x #s(literal -1/2 binary64))))
(expm1.f64 (log1p.f64 (pow.f64 x #s(literal -1/2 binary64))))
(pow.f64 x #s(literal -1/2 binary64))
(exp.f64 (log.f64 (pow.f64 x #s(literal -1/2 binary64))))
(expm1.f64 (log1p.f64 (pow.f64 x #s(literal -1/2 binary64))))
(pow.f64 x #s(literal -1/2 binary64))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 x)) #s(literal -1 binary64)))
(/.f64 #s(literal 1 binary64) (sqrt.f64 x))
(exp.f64 (*.f64 (log.f64 (pow.f64 x #s(literal -1/2 binary64))) #s(literal 1 binary64)))
(expm1.f64 (log1p.f64 (pow.f64 x #s(literal -1/2 binary64))))
(pow.f64 x #s(literal -1/2 binary64))

eval105.0ms (1%)

Compiler

Compiled 6671 to 5311 computations (20.4% saved)

prune57.0ms (0.6%)

Pruning

18 alts after pruning (18 fresh and 0 done)

PrunedKeptTotal
New27018288
Fresh000
Picked101
Done000
Total27118289
Accuracy
80.9%
Counts
289 → 18
Alt Table
Click to see full alt table
StatusAccuracyProgram
34.8%
(/.f64 (/.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)) (sqrt.f64 x)) (sqrt.f64 (+.f64 #s(literal 1 binary64) x)))
34.8%
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x))) (+.f64 (pow.f64 x #s(literal -1/2 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64))))
80.2%
(/.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) x)))) (+.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 x)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))) (pow.f64 x #s(literal 2 binary64)))
80.2%
(/.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x)))) (+.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 x)) (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) x)))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))) (pow.f64 x #s(literal 2 binary64)))
34.8%
(/.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)) (sqrt.f64 (*.f64 x (+.f64 #s(literal 1 binary64) x))))
79.6%
(/.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 x))) (pow.f64 x #s(literal 2 binary64)))
20.4%
(-.f64 (pow.f64 (pow.f64 x #s(literal 1/4 binary64)) #s(literal -2 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)))
34.8%
(-.f64 (pow.f64 x #s(literal -1/2 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)))
27.1%
(-.f64 (pow.f64 x #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))
20.4%
(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (pow.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1/4 binary64)) #s(literal -2 binary64)))
27.4%
(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)))
6.3%
(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (exp.f64 (neg.f64 (*.f64 #s(literal 1/2 binary64) (log1p.f64 x)))))
6.9%
(+.f64 (fma.f64 (neg.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)))) (cbrt.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64))) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64))) (/.f64 (-.f64 (pow.f64 (sqrt.f64 x) #s(literal -3 binary64)) (pow.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) #s(literal -3 binary64))) (fma.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)) (+.f64 (pow.f64 x #s(literal -1/2 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64))) (/.f64 #s(literal 1 binary64) x))))
79.6%
(*.f64 (/.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64))) (-.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)))
34.8%
(*.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 x #s(literal -1/2 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)))))
34.8%
(*.f64 (+.f64 (/.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)) #s(literal -1 binary64)) (/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)) #s(literal 1 binary64)))
61.6%
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))))
5.5%
(sqrt.f64 (/.f64 #s(literal 1 binary64) x))
Compiler

Compiled 660 to 538 computations (18.5% saved)

localize1.7s (17.2%)

Localize:

Found 12 expressions with local error:

NewAccuracyProgram
99.8%
(/.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)) (sqrt.f64 (*.f64 x (+.f64 #s(literal 1 binary64) x))))
53.7%
(sqrt.f64 (*.f64 x (+.f64 #s(literal 1 binary64) x)))
5.7%
(-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x))
99.1%
(pow.f64 (pow.f64 x #s(literal 1/4 binary64)) #s(literal -2 binary64))
34.8%
(-.f64 (pow.f64 (pow.f64 x #s(literal 1/4 binary64)) #s(literal -2 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)))
99.6%
(/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))
34.8%
(-.f64 (pow.f64 x #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))
99.8%
(sqrt.f64 (/.f64 #s(literal 1 binary64) x))
80.5%
(sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64))))
72.9%
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) x)))
70.6%
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x)))
63.1%
(sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))))
Results
951.0ms130×1024valid
301.0ms67×512valid
82.0ms46×256valid
126.0ms13×2048valid
Compiler

Compiled 374 to 291 computations (22.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 1.3s
ival-pow: 440.0ms (34.2% of total)
ival-mult: 291.0ms (22.6% of total)
ival-div: 193.0ms (15% of total)
ival-sqrt: 169.0ms (13.2% of total)
ival-add: 141.0ms (11% of total)
const: 33.0ms (2.6% of total)
ival-sub: 18.0ms (1.4% of total)

series29.0ms (0.3%)

Counts
11 → 108
Calls
Call 1
Inputs
#<alt (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))))>
#<alt (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x)))>
#<alt (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) x)))>
#<alt (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64))))>
#<alt (sqrt.f64 (/.f64 #s(literal 1 binary64) x))>
#<alt (-.f64 (pow.f64 x #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))>
#<alt (-.f64 (pow.f64 (pow.f64 x #s(literal 1/4 binary64)) #s(literal -2 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)))>
#<alt (pow.f64 (pow.f64 x #s(literal 1/4 binary64)) #s(literal -2 binary64))>
#<alt (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x))>
#<alt (sqrt.f64 (*.f64 x (+.f64 #s(literal 1 binary64) x)))>
#<alt (/.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)) (sqrt.f64 (*.f64 x (+.f64 #s(literal 1 binary64) x))))>
Outputs
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (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) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (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) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (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) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))>
#<alt (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64))))>
#<alt (/.f64 (+.f64 (sqrt.f64 x) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (pow.f64 x #s(literal 3 binary64))))) (pow.f64 x #s(literal 3 binary64)))>
#<alt (/.f64 (+.f64 (sqrt.f64 x) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (pow.f64 x #s(literal 3 binary64))))) (pow.f64 x #s(literal 3 binary64)))>
#<alt (/.f64 (+.f64 (sqrt.f64 x) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (pow.f64 x #s(literal 3 binary64))))) (pow.f64 x #s(literal 3 binary64)))>
#<alt (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))))>
#<alt (/.f64 (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) x)>
#<alt (/.f64 (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) x)>
#<alt (/.f64 (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) x)>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (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) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))) (*.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))) x))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))) (*.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))) x))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))) (*.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))) x))>
#<alt (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))))>
#<alt (/.f64 (+.f64 (sqrt.f64 x) (*.f64 #s(literal 1/4 binary64) (sqrt.f64 (pow.f64 x #s(literal 3 binary64))))) (pow.f64 x #s(literal 2 binary64)))>
#<alt (/.f64 (+.f64 (sqrt.f64 x) (*.f64 #s(literal 1/4 binary64) (sqrt.f64 (pow.f64 x #s(literal 3 binary64))))) (pow.f64 x #s(literal 2 binary64)))>
#<alt (/.f64 (+.f64 (sqrt.f64 x) (*.f64 #s(literal 1/4 binary64) (sqrt.f64 (pow.f64 x #s(literal 3 binary64))))) (pow.f64 x #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal 1/4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))>
#<alt (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (*.f64 #s(literal 1/4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))>
#<alt (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (*.f64 #s(literal 1/4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))>
#<alt (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (*.f64 #s(literal 1/4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))>
#<alt (*.f64 #s(literal -1/4 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))) (*.f64 #s(literal -1/4 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))) (*.f64 #s(literal -1/4 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))) (*.f64 #s(literal -1/4 binary64) (*.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) (pow.f64 x #s(literal 5 binary64)))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))>
#<alt (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))>
#<alt (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))>
#<alt (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (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 (sqrt.f64 (/.f64 #s(literal 1 binary64) x))>
#<alt (/.f64 (+.f64 (sqrt.f64 x) (*.f64 #s(literal -1 binary64) x)) x)>
#<alt (/.f64 (+.f64 (sqrt.f64 x) (*.f64 x (-.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64)))) x)>
#<alt (/.f64 (+.f64 (sqrt.f64 x) (*.f64 x (-.f64 (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -3/8 binary64) x))) #s(literal 1 binary64)))) x)>
#<alt (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))))>
#<alt (/.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (*.f64 #s(literal -1/2 binary64) (sqrt.f64 x))) (pow.f64 x #s(literal 2 binary64)))>
#<alt (/.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) x)))) (+.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 x)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))) (pow.f64 x #s(literal 2 binary64)))>
#<alt (/.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x)))) (+.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 x)) (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) x)))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))) (pow.f64 x #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))))>
#<alt (/.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (*.f64 #s(literal -1/2 binary64) (sqrt.f64 x))) (pow.f64 x #s(literal 2 binary64)))>
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#<alt (sqrt.f64 (/.f64 #s(literal 1 binary64) x))>
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#<alt (/.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (*.f64 #s(literal -1/2 binary64) (sqrt.f64 x))) (pow.f64 x #s(literal 2 binary64)))>
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#<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))>
#<alt (sqrt.f64 (/.f64 #s(literal 1 binary64) x))>
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Calls

33 calls:

TimeVariablePointExpression
2.0ms
x
@-inf
(/ (- (sqrt (+ 1 x)) (sqrt x)) (sqrt (* x (+ 1 x))))
1.0ms
x
@-inf
(- (sqrt (+ 1 x)) (sqrt x))
1.0ms
x
@inf
(pow (pow x 1/4) -2)
1.0ms
x
@0
(sqrt (/ 1 (pow x 3)))
1.0ms
x
@inf
(/ (- (sqrt (+ 1 x)) (sqrt x)) (sqrt (* x (+ 1 x))))

rewrite109.0ms (1.1%)

Algorithm
batch-egg-rewrite
Rules
321×log1p-expm1-u
321×expm1-log1p-u
287×pow1
286×add-cube-cbrt
284×add-exp-log
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
043301
1771249
Stop Event
node limit
Counts
11 → 325
Calls
Call 1
Inputs
(sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x)))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) x)))
(sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64))))
(sqrt.f64 (/.f64 #s(literal 1 binary64) x))
(-.f64 (pow.f64 x #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))
(-.f64 (pow.f64 (pow.f64 x #s(literal 1/4 binary64)) #s(literal -2 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)))
(pow.f64 (pow.f64 x #s(literal 1/4 binary64)) #s(literal -2 binary64))
(-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x))
(sqrt.f64 (*.f64 x (+.f64 #s(literal 1 binary64) x)))
(/.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)) (sqrt.f64 (*.f64 x (+.f64 #s(literal 1 binary64) x))))
Outputs
(-.f64 (exp.f64 (log1p.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 (/.f64 #s(literal 1 binary64) x) (pow.f64 x #s(literal -1/2 binary64)))
(*.f64 (pow.f64 x #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) x))
(*.f64 (sqrt.f64 (pow.f64 x #s(literal -3/2 binary64))) (sqrt.f64 (pow.f64 x #s(literal -3/2 binary64))))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/2 binary64)) (pow.f64 x #s(literal -3/2 binary64)))
(*.f64 (pow.f64 (pow.f64 x #s(literal -1/4 binary64)) #s(literal 3 binary64)) (pow.f64 (pow.f64 x #s(literal -1/4 binary64)) #s(literal 3 binary64)))
(/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3/2 binary64)))
(/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 x #s(literal 1 binary64)) (sqrt.f64 x)))
(/.f64 #s(literal -1 binary64) (*.f64 (neg.f64 x) (sqrt.f64 x)))
(/.f64 #s(literal -1 binary64) (neg.f64 (pow.f64 x #s(literal 3/2 binary64))))
(/.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (neg.f64 (pow.f64 x #s(literal 3 binary64)))))
(pow.f64 x #s(literal -3/2 binary64))
(pow.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/2 binary64))
(pow.f64 (pow.f64 x #s(literal -3 binary64)) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 x #s(literal -3/2 binary64)) #s(literal 1 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 3/2 binary64))
(pow.f64 (pow.f64 x #s(literal 1/4 binary64)) #s(literal -6 binary64))
(pow.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (pow.f64 x #s(literal -3 binary64)) #s(literal 3/2 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (pow.f64 x #s(literal -3/2 binary64))) #s(literal 2 binary64))
(pow.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal -1 binary64))
(fabs.f64 (pow.f64 x #s(literal -3/2 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 binary64)) #s(literal 3/2 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 (log.f64 (pow.f64 x #s(literal -3/2 binary64))))
(exp.f64 (*.f64 (*.f64 #s(literal -3 binary64) (log.f64 x)) #s(literal 1/2 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 x #s(literal -3/2 binary64))) #s(literal 1 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (log.f64 x)) #s(literal 3 binary64)))
(+.f64 (pow.f64 x #s(literal -5/2 binary64)) (*.f64 (*.f64 x #s(literal 1/2 binary64)) (pow.f64 x #s(literal -5/2 binary64))))
(+.f64 (*.f64 (pow.f64 x #s(literal -5/2 binary64)) #s(literal 1 binary64)) (*.f64 (pow.f64 x #s(literal -5/2 binary64)) (*.f64 x #s(literal 1/2 binary64))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (pow.f64 x #s(literal -5/2 binary64)) (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64))))) #s(literal 1 binary64))
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/8 binary64))) (*.f64 (pow.f64 x #s(literal 5/2 binary64)) (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (*.f64 x #s(literal 1/2 binary64)) #s(literal 2 binary64)) (*.f64 x #s(literal 1/2 binary64))))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 x #s(literal 1/2 binary64)) #s(literal 2 binary64))) (*.f64 (pow.f64 x #s(literal 5/2 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64)))))
(/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/8 binary64))) #s(literal 1 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (*.f64 x #s(literal 1/2 binary64)) #s(literal 2 binary64)) (*.f64 x #s(literal 1/2 binary64)))) (pow.f64 x #s(literal 5/2 binary64))))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 x #s(literal 1/2 binary64)) #s(literal 2 binary64))) #s(literal 1 binary64)) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64))) (pow.f64 x #s(literal 5/2 binary64))))
(/.f64 (+.f64 (pow.f64 (pow.f64 x #s(literal -5/2 binary64)) #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 x #s(literal 1/2 binary64)) (pow.f64 x #s(literal -5/2 binary64))) #s(literal 3 binary64))) (+.f64 (pow.f64 x #s(literal -5 binary64)) (-.f64 (*.f64 (*.f64 (*.f64 x #s(literal 1/2 binary64)) (pow.f64 x #s(literal -5/2 binary64))) (*.f64 (*.f64 x #s(literal 1/2 binary64)) (pow.f64 x #s(literal -5/2 binary64)))) (*.f64 (pow.f64 x #s(literal -5/2 binary64)) (*.f64 (*.f64 x #s(literal 1/2 binary64)) (pow.f64 x #s(literal -5/2 binary64)))))))
(/.f64 (+.f64 (pow.f64 (*.f64 (pow.f64 x #s(literal -5/2 binary64)) #s(literal 1 binary64)) #s(literal 3 binary64)) (pow.f64 (*.f64 (pow.f64 x #s(literal -5/2 binary64)) (*.f64 x #s(literal 1/2 binary64))) #s(literal 3 binary64))) (+.f64 (*.f64 (*.f64 (pow.f64 x #s(literal -5/2 binary64)) #s(literal 1 binary64)) (*.f64 (pow.f64 x #s(literal -5/2 binary64)) #s(literal 1 binary64))) (-.f64 (*.f64 (*.f64 (pow.f64 x #s(literal -5/2 binary64)) (*.f64 x #s(literal 1/2 binary64))) (*.f64 (pow.f64 x #s(literal -5/2 binary64)) (*.f64 x #s(literal 1/2 binary64)))) (*.f64 (*.f64 (pow.f64 x #s(literal -5/2 binary64)) #s(literal 1 binary64)) (*.f64 (pow.f64 x #s(literal -5/2 binary64)) (*.f64 x #s(literal 1/2 binary64)))))))
(pow.f64 (*.f64 (pow.f64 x #s(literal -5/2 binary64)) (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 (pow.f64 x #s(literal -5/2 binary64)) (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 (pow.f64 x #s(literal -5/2 binary64)) (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 (pow.f64 x #s(literal -5/2 binary64)) (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 (pow.f64 x #s(literal -5/2 binary64)) (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 (pow.f64 x #s(literal -5/2 binary64))) (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (pow.f64 x #s(literal -5/2 binary64)) (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64))))))
(cbrt.f64 (pow.f64 (*.f64 (pow.f64 x #s(literal -5/2 binary64)) (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 (pow.f64 x #s(literal -5/2 binary64)) #s(literal 3 binary64)) (pow.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 3 binary64)) (pow.f64 (pow.f64 x #s(literal -5/2 binary64)) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 (pow.f64 x #s(literal -5/2 binary64)) (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)))))
(log1p.f64 (expm1.f64 (*.f64 (pow.f64 x #s(literal -5/2 binary64)) (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)))))
(exp.f64 (log.f64 (*.f64 (pow.f64 x #s(literal -5/2 binary64)) (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)))))
(exp.f64 (*.f64 (log.f64 (*.f64 (pow.f64 x #s(literal -5/2 binary64)) (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)))) #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -5/2 binary64)) (*.f64 (*.f64 x #s(literal 1/2 binary64)) (pow.f64 x #s(literal -5/2 binary64))))
(fma.f64 (pow.f64 x #s(literal -5/2 binary64)) #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal -5/2 binary64)) (*.f64 x #s(literal 1/2 binary64))))
(fma.f64 (cbrt.f64 (pow.f64 x #s(literal -5 binary64))) (cbrt.f64 (pow.f64 x #s(literal -5/2 binary64))) (*.f64 (*.f64 x #s(literal 1/2 binary64)) (pow.f64 x #s(literal -5/2 binary64))))
(fma.f64 (sqrt.f64 (pow.f64 x #s(literal -5/2 binary64))) (sqrt.f64 (pow.f64 x #s(literal -5/2 binary64))) (*.f64 (*.f64 x #s(literal 1/2 binary64)) (pow.f64 x #s(literal -5/2 binary64))))
(+.f64 (pow.f64 x #s(literal -3/2 binary64)) (*.f64 (*.f64 x #s(literal 1/4 binary64)) (pow.f64 x #s(literal -3/2 binary64))))
(+.f64 (*.f64 (pow.f64 x #s(literal -3/2 binary64)) #s(literal 1 binary64)) (*.f64 (pow.f64 x #s(literal -3/2 binary64)) (*.f64 x #s(literal 1/4 binary64))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (pow.f64 x #s(literal -3/2 binary64)) (fma.f64 x #s(literal 1/4 binary64) #s(literal 1 binary64))))) #s(literal 1 binary64))
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/64 binary64))) (*.f64 (pow.f64 x #s(literal 3/2 binary64)) (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (*.f64 x #s(literal 1/4 binary64)) #s(literal 2 binary64)) (*.f64 x #s(literal 1/4 binary64))))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 x #s(literal 1/4 binary64)) #s(literal 2 binary64))) (*.f64 (pow.f64 x #s(literal 3/2 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/4 binary64)))))
(/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/64 binary64))) #s(literal 1 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (*.f64 x #s(literal 1/4 binary64)) #s(literal 2 binary64)) (*.f64 x #s(literal 1/4 binary64)))) (pow.f64 x #s(literal 3/2 binary64))))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 x #s(literal 1/4 binary64)) #s(literal 2 binary64))) #s(literal 1 binary64)) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/4 binary64))) (pow.f64 x #s(literal 3/2 binary64))))
(/.f64 (+.f64 (pow.f64 (pow.f64 x #s(literal -3 binary64)) #s(literal 3/2 binary64)) (pow.f64 (*.f64 (*.f64 x #s(literal 1/4 binary64)) (pow.f64 x #s(literal -3/2 binary64))) #s(literal 3 binary64))) (+.f64 (pow.f64 x #s(literal -3 binary64)) (-.f64 (*.f64 (*.f64 (*.f64 x #s(literal 1/4 binary64)) (pow.f64 x #s(literal -3/2 binary64))) (*.f64 (*.f64 x #s(literal 1/4 binary64)) (pow.f64 x #s(literal -3/2 binary64)))) (*.f64 (pow.f64 x #s(literal -3/2 binary64)) (*.f64 (*.f64 x #s(literal 1/4 binary64)) (pow.f64 x #s(literal -3/2 binary64)))))))
(/.f64 (+.f64 (pow.f64 (*.f64 (pow.f64 x #s(literal -3/2 binary64)) #s(literal 1 binary64)) #s(literal 3 binary64)) (pow.f64 (*.f64 (pow.f64 x #s(literal -3/2 binary64)) (*.f64 x #s(literal 1/4 binary64))) #s(literal 3 binary64))) (+.f64 (*.f64 (*.f64 (pow.f64 x #s(literal -3/2 binary64)) #s(literal 1 binary64)) (*.f64 (pow.f64 x #s(literal -3/2 binary64)) #s(literal 1 binary64))) (-.f64 (*.f64 (*.f64 (pow.f64 x #s(literal -3/2 binary64)) (*.f64 x #s(literal 1/4 binary64))) (*.f64 (pow.f64 x #s(literal -3/2 binary64)) (*.f64 x #s(literal 1/4 binary64)))) (*.f64 (*.f64 (pow.f64 x #s(literal -3/2 binary64)) #s(literal 1 binary64)) (*.f64 (pow.f64 x #s(literal -3/2 binary64)) (*.f64 x #s(literal 1/4 binary64)))))))
(pow.f64 (*.f64 (pow.f64 x #s(literal -3/2 binary64)) (fma.f64 x #s(literal 1/4 binary64) #s(literal 1 binary64))) #s(literal 1 binary64))
(pow.f64 (*.f64 (pow.f64 x #s(literal -1/2 binary64)) (cbrt.f64 (fma.f64 x #s(literal 1/4 binary64) #s(literal 1 binary64)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 (pow.f64 x #s(literal -3/2 binary64)) (fma.f64 x #s(literal 1/4 binary64) #s(literal 1 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 (pow.f64 x #s(literal -3/2 binary64)) (fma.f64 x #s(literal 1/4 binary64) #s(literal 1 binary64)))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 (pow.f64 x #s(literal -3/2 binary64)) (fma.f64 x #s(literal 1/4 binary64) #s(literal 1 binary64))) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 (pow.f64 x #s(literal -3/2 binary64))) (fma.f64 x #s(literal 1/4 binary64) #s(literal 1 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (pow.f64 x #s(literal -3/2 binary64)) (fma.f64 x #s(literal 1/4 binary64) #s(literal 1 binary64))))))
(cbrt.f64 (pow.f64 (*.f64 (pow.f64 x #s(literal -3/2 binary64)) (fma.f64 x #s(literal 1/4 binary64) #s(literal 1 binary64))) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 (pow.f64 x #s(literal -3 binary64)) #s(literal 3/2 binary64)) (pow.f64 (fma.f64 x #s(literal 1/4 binary64) #s(literal 1 binary64)) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (fma.f64 x #s(literal 1/4 binary64) #s(literal 1 binary64)) #s(literal 3 binary64)) (pow.f64 (pow.f64 x #s(literal -3 binary64)) #s(literal 3/2 binary64))))
(expm1.f64 (log1p.f64 (*.f64 (pow.f64 x #s(literal -3/2 binary64)) (fma.f64 x #s(literal 1/4 binary64) #s(literal 1 binary64)))))
(log1p.f64 (expm1.f64 (*.f64 (pow.f64 x #s(literal -3/2 binary64)) (fma.f64 x #s(literal 1/4 binary64) #s(literal 1 binary64)))))
(exp.f64 (log.f64 (*.f64 (pow.f64 x #s(literal -3/2 binary64)) (fma.f64 x #s(literal 1/4 binary64) #s(literal 1 binary64)))))
(exp.f64 (*.f64 (log.f64 (*.f64 (pow.f64 x #s(literal -3/2 binary64)) (fma.f64 x #s(literal 1/4 binary64) #s(literal 1 binary64)))) #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -3/2 binary64)) (*.f64 (*.f64 x #s(literal 1/4 binary64)) (pow.f64 x #s(literal -3/2 binary64))))
(fma.f64 (pow.f64 x #s(literal -3/2 binary64)) #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal -3/2 binary64)) (*.f64 x #s(literal 1/4 binary64))))
(fma.f64 (/.f64 #s(literal 1 binary64) x) (pow.f64 x #s(literal -1/2 binary64)) (*.f64 (*.f64 x #s(literal 1/4 binary64)) (pow.f64 x #s(literal -3/2 binary64))))
(fma.f64 (sqrt.f64 (pow.f64 x #s(literal -3/2 binary64))) (sqrt.f64 (pow.f64 x #s(literal -3/2 binary64))) (*.f64 (*.f64 x #s(literal 1/4 binary64)) (pow.f64 x #s(literal -3/2 binary64))))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 x #s(literal -5/2 binary64)))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -5/2 binary64)))
(*.f64 (cbrt.f64 (pow.f64 x #s(literal -5 binary64))) (cbrt.f64 (pow.f64 x #s(literal -5/2 binary64))))
(*.f64 (sqrt.f64 (pow.f64 x #s(literal -5/2 binary64))) (sqrt.f64 (pow.f64 x #s(literal -5/2 binary64))))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/2 binary64)) (pow.f64 x #s(literal -5/2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 x #s(literal -10 binary64))) #s(literal 1/2 binary64)) (pow.f64 (cbrt.f64 (pow.f64 x #s(literal -5 binary64))) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 (cbrt.f64 (pow.f64 x #s(literal -10 binary64)))) (sqrt.f64 (cbrt.f64 (pow.f64 x #s(literal -5 binary64)))))
(/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5/2 binary64)))
(/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 1 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (pow.f64 x #s(literal 5/2 binary64))))
(/.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (neg.f64 (pow.f64 x #s(literal 5 binary64)))))
(pow.f64 x #s(literal -5/2 binary64))
(pow.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal -1/2 binary64))
(pow.f64 (pow.f64 x #s(literal -5 binary64)) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 x #s(literal -5/2 binary64)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (pow.f64 x #s(literal -5/2 binary64))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (pow.f64 x #s(literal -5/2 binary64)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (pow.f64 x #s(literal 5/2 binary64)) #s(literal -1 binary64))
(pow.f64 (sqrt.f64 (pow.f64 x #s(literal -5/2 binary64))) #s(literal 2 binary64))
(fabs.f64 (pow.f64 x #s(literal -5/2 binary64)))
(log.f64 (exp.f64 (pow.f64 x #s(literal -5/2 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (pow.f64 x #s(literal -5/2 binary64)))))
(cbrt.f64 (pow.f64 (pow.f64 x #s(literal -5/2 binary64)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (pow.f64 x #s(literal -5/2 binary64))))
(log1p.f64 (expm1.f64 (pow.f64 x #s(literal -5/2 binary64))))
(exp.f64 (log.f64 (pow.f64 x #s(literal -5/2 binary64))))
(exp.f64 (*.f64 (*.f64 #s(literal -5 binary64) (log.f64 x)) #s(literal 1/2 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 x #s(literal -5/2 binary64))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 x #s(literal -1/2 binary64)))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -1/2 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 x)) (cbrt.f64 (pow.f64 x #s(literal -1/2 binary64))))
(*.f64 (pow.f64 x #s(literal -1/4 binary64)) (pow.f64 x #s(literal -1/4 binary64)))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/2 binary64)) (pow.f64 x #s(literal -1/2 binary64)))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal -1/2 binary64)) (pow.f64 x #s(literal -1/2 binary64)))
(*.f64 (pow.f64 (sqrt.f64 x) #s(literal -1/2 binary64)) (pow.f64 (sqrt.f64 x) #s(literal -1/2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 x #s(literal 2 binary64))) #s(literal -1/2 binary64)) (pow.f64 (cbrt.f64 x) #s(literal -1/2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (sqrt.f64 x)) #s(literal -2 binary64)) (pow.f64 (cbrt.f64 (pow.f64 x #s(literal 1/4 binary64))) #s(literal -2 binary64)))
(*.f64 (pow.f64 (pow.f64 x #s(literal 1/8 binary64)) #s(literal -2 binary64)) (pow.f64 (pow.f64 x #s(literal 1/8 binary64)) #s(literal -2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 x)) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 (cbrt.f64 (pow.f64 x #s(literal -2 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 x))))
(/.f64 #s(literal 1 binary64) (sqrt.f64 x))
(/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 x #s(literal 1 binary64))))
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(*.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 x)) (cbrt.f64 (pow.f64 x #s(literal -1/2 binary64))))
(*.f64 (pow.f64 x #s(literal -1/4 binary64)) (pow.f64 x #s(literal -1/4 binary64)))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/2 binary64)) (pow.f64 x #s(literal -1/2 binary64)))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal -1/2 binary64)) (pow.f64 x #s(literal -1/2 binary64)))
(*.f64 (pow.f64 (sqrt.f64 x) #s(literal -1/2 binary64)) (pow.f64 (sqrt.f64 x) #s(literal -1/2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 x #s(literal 2 binary64))) #s(literal -1/2 binary64)) (pow.f64 (cbrt.f64 x) #s(literal -1/2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (sqrt.f64 x)) #s(literal -2 binary64)) (pow.f64 (cbrt.f64 (pow.f64 x #s(literal 1/4 binary64))) #s(literal -2 binary64)))
(*.f64 (pow.f64 (pow.f64 x #s(literal 1/8 binary64)) #s(literal -2 binary64)) (pow.f64 (pow.f64 x #s(literal 1/8 binary64)) #s(literal -2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 x)) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 (cbrt.f64 (pow.f64 x #s(literal -2 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 x))))
(/.f64 #s(literal 1 binary64) (sqrt.f64 x))
(/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 x #s(literal 1 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (sqrt.f64 x)))
(/.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (neg.f64 x)))
(sqrt.f64 (/.f64 #s(literal 1 binary64) x))
(fabs.f64 (pow.f64 x #s(literal -1/2 binary64)))
(log.f64 (exp.f64 (pow.f64 x #s(literal -1/2 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (pow.f64 x #s(literal -1/2 binary64)))))
(cbrt.f64 (pow.f64 x #s(literal -3/2 binary64)))
(expm1.f64 (log1p.f64 (pow.f64 x #s(literal -1/2 binary64))))
(log1p.f64 (expm1.f64 (pow.f64 x #s(literal -1/2 binary64))))
(exp.f64 (*.f64 #s(literal -1/2 binary64) (log.f64 x)))
(exp.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (log.f64 x)) #s(literal 1 binary64)))
(exp.f64 (*.f64 (neg.f64 (log.f64 x)) #s(literal 1/2 binary64)))
(+.f64 (hypot.f64 #s(literal 1 binary64) (sqrt.f64 x)) (neg.f64 (sqrt.f64 x)))
(+.f64 (-.f64 (hypot.f64 #s(literal 1 binary64) (sqrt.f64 x)) (sqrt.f64 x)) (fma.f64 (neg.f64 (pow.f64 x #s(literal 1/4 binary64))) (pow.f64 x #s(literal 1/4 binary64)) (sqrt.f64 x)))
(+.f64 (fma.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) (sqrt.f64 x)) (neg.f64 (*.f64 (sqrt.f64 x) #s(literal 1 binary64)))) (fma.f64 (neg.f64 (sqrt.f64 x)) #s(literal 1 binary64) (*.f64 (sqrt.f64 x) #s(literal 1 binary64))))
(+.f64 (fma.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) (sqrt.f64 x)) (neg.f64 (*.f64 (cbrt.f64 (sqrt.f64 x)) (cbrt.f64 x)))) (fma.f64 (neg.f64 (cbrt.f64 (sqrt.f64 x))) (cbrt.f64 x) (*.f64 (cbrt.f64 (sqrt.f64 x)) (cbrt.f64 x))))
(+.f64 (fma.f64 (cbrt.f64 (+.f64 #s(literal 1 binary64) x)) (cbrt.f64 (hypot.f64 #s(literal 1 binary64) (sqrt.f64 x))) (neg.f64 (*.f64 (sqrt.f64 x) #s(literal 1 binary64)))) (fma.f64 (neg.f64 (sqrt.f64 x)) #s(literal 1 binary64) (*.f64 (sqrt.f64 x) #s(literal 1 binary64))))
(+.f64 (fma.f64 (cbrt.f64 (+.f64 #s(literal 1 binary64) x)) (cbrt.f64 (hypot.f64 #s(literal 1 binary64) (sqrt.f64 x))) (neg.f64 (*.f64 (cbrt.f64 (sqrt.f64 x)) (cbrt.f64 x)))) (fma.f64 (neg.f64 (cbrt.f64 (sqrt.f64 x))) (cbrt.f64 x) (*.f64 (cbrt.f64 (sqrt.f64 x)) (cbrt.f64 x))))
(+.f64 (fma.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1/4 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1/4 binary64)) (neg.f64 (*.f64 (sqrt.f64 x) #s(literal 1 binary64)))) (fma.f64 (neg.f64 (sqrt.f64 x)) #s(literal 1 binary64) (*.f64 (sqrt.f64 x) #s(literal 1 binary64))))
(+.f64 (fma.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1/4 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1/4 binary64)) (neg.f64 (*.f64 (cbrt.f64 (sqrt.f64 x)) (cbrt.f64 x)))) (fma.f64 (neg.f64 (cbrt.f64 (sqrt.f64 x))) (cbrt.f64 x) (*.f64 (cbrt.f64 (sqrt.f64 x)) (cbrt.f64 x))))
(*.f64 #s(literal 1 binary64) (-.f64 (hypot.f64 #s(literal 1 binary64) (sqrt.f64 x)) (sqrt.f64 x)))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 (hypot.f64 #s(literal 1 binary64) (sqrt.f64 x)) (sqrt.f64 x))) #s(literal 2 binary64)) (cbrt.f64 (-.f64 (hypot.f64 #s(literal 1 binary64) (sqrt.f64 x)) (sqrt.f64 x))))
(*.f64 (sqrt.f64 (-.f64 (hypot.f64 #s(literal 1 binary64) (sqrt.f64 x)) (sqrt.f64 x))) (sqrt.f64 (-.f64 (hypot.f64 #s(literal 1 binary64) (sqrt.f64 x)) (sqrt.f64 x))))
(/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3/2 binary64))) (+.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 x (hypot.f64 (sqrt.f64 x) x))))
(/.f64 (-.f64 (+.f64 #s(literal 1 binary64) x) x) (+.f64 (hypot.f64 #s(literal 1 binary64) (sqrt.f64 x)) (sqrt.f64 x)))
(/.f64 (neg.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3/2 binary64)))) (neg.f64 (+.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 x (hypot.f64 (sqrt.f64 x) x)))))
(/.f64 (neg.f64 (-.f64 (+.f64 #s(literal 1 binary64) x) x)) (neg.f64 (+.f64 (hypot.f64 #s(literal 1 binary64) (sqrt.f64 x)) (sqrt.f64 x))))
(/.f64 (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 3/2 binary64)) (pow.f64 (neg.f64 (sqrt.f64 x)) #s(literal 3 binary64))) (+.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 (*.f64 (neg.f64 (sqrt.f64 x)) (neg.f64 (sqrt.f64 x))) (*.f64 (hypot.f64 #s(literal 1 binary64) (sqrt.f64 x)) (neg.f64 (sqrt.f64 x))))))
(pow.f64 (-.f64 (hypot.f64 #s(literal 1 binary64) (sqrt.f64 x)) (sqrt.f64 x)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (-.f64 (hypot.f64 #s(literal 1 binary64) (sqrt.f64 x)) (sqrt.f64 x))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (-.f64 (hypot.f64 #s(literal 1 binary64) (sqrt.f64 x)) (sqrt.f64 x)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (-.f64 (hypot.f64 #s(literal 1 binary64) (sqrt.f64 x)) (sqrt.f64 x))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (-.f64 (hypot.f64 #s(literal 1 binary64) (sqrt.f64 x)) (sqrt.f64 x)) #s(literal 2 binary64)))
(log.f64 (exp.f64 (-.f64 (hypot.f64 #s(literal 1 binary64) (sqrt.f64 x)) (sqrt.f64 x))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (-.f64 (hypot.f64 #s(literal 1 binary64) (sqrt.f64 x)) (sqrt.f64 x)))))
(cbrt.f64 (pow.f64 (-.f64 (hypot.f64 #s(literal 1 binary64) (sqrt.f64 x)) (sqrt.f64 x)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (-.f64 (hypot.f64 #s(literal 1 binary64) (sqrt.f64 x)) (sqrt.f64 x))))
(log1p.f64 (expm1.f64 (-.f64 (hypot.f64 #s(literal 1 binary64) (sqrt.f64 x)) (sqrt.f64 x))))
(exp.f64 (log.f64 (-.f64 (hypot.f64 #s(literal 1 binary64) (sqrt.f64 x)) (sqrt.f64 x))))
(exp.f64 (*.f64 (log.f64 (-.f64 (hypot.f64 #s(literal 1 binary64) (sqrt.f64 x)) (sqrt.f64 x))) #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) (sqrt.f64 x)) (neg.f64 (sqrt.f64 x)))
(fma.f64 (cbrt.f64 (+.f64 #s(literal 1 binary64) x)) (cbrt.f64 (hypot.f64 #s(literal 1 binary64) (sqrt.f64 x))) (neg.f64 (sqrt.f64 x)))
(fma.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1/4 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1/4 binary64)) (neg.f64 (sqrt.f64 x)))
(-.f64 (exp.f64 (log1p.f64 (hypot.f64 (sqrt.f64 x) x))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (hypot.f64 (sqrt.f64 x) x))
(*.f64 (hypot.f64 #s(literal 1 binary64) (sqrt.f64 x)) (sqrt.f64 x))
(*.f64 (sqrt.f64 x) (hypot.f64 #s(literal 1 binary64) (sqrt.f64 x)))
(*.f64 (cbrt.f64 (+.f64 x (pow.f64 x #s(literal 2 binary64)))) (cbrt.f64 (hypot.f64 (sqrt.f64 x) x)))
(*.f64 (sqrt.f64 (hypot.f64 (sqrt.f64 x) x)) (sqrt.f64 (hypot.f64 (sqrt.f64 x) x)))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/2 binary64)) (hypot.f64 (sqrt.f64 x) x))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (+.f64 x (pow.f64 x #s(literal 2 binary64))) #s(literal 2 binary64))) #s(literal 1/2 binary64)) (pow.f64 (cbrt.f64 (+.f64 x (pow.f64 x #s(literal 2 binary64)))) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (+.f64 x (pow.f64 x #s(literal 2 binary64))) #s(literal 2 binary64)))) (sqrt.f64 (cbrt.f64 (+.f64 x (pow.f64 x #s(literal 2 binary64))))))
(pow.f64 (+.f64 x (pow.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64))
(pow.f64 (hypot.f64 (sqrt.f64 x) x) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (hypot.f64 (sqrt.f64 x) x)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (hypot.f64 (sqrt.f64 x) x) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (hypot.f64 (sqrt.f64 x) x)) #s(literal 2 binary64))
(fabs.f64 (hypot.f64 (sqrt.f64 x) x))
(log.f64 (exp.f64 (hypot.f64 (sqrt.f64 x) x)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (hypot.f64 (sqrt.f64 x) x))))
(cbrt.f64 (pow.f64 (hypot.f64 (sqrt.f64 x) x) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3/2 binary64))))
(cbrt.f64 (*.f64 (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 3/2 binary64))))
(expm1.f64 (log1p.f64 (hypot.f64 (sqrt.f64 x) x)))
(hypot.f64 (sqrt.f64 x) x)
(log1p.f64 (expm1.f64 (hypot.f64 (sqrt.f64 x) x)))
(exp.f64 (log.f64 (hypot.f64 (sqrt.f64 x) x)))
(exp.f64 (*.f64 (+.f64 (log.f64 x) (log1p.f64 x)) #s(literal 1/2 binary64)))
(exp.f64 (*.f64 (log.f64 (hypot.f64 (sqrt.f64 x) x)) #s(literal 1 binary64)))
(exp.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (log1p.f64 x)) (log.f64 (sqrt.f64 x))))
(-.f64 (/.f64 (hypot.f64 #s(literal 1 binary64) (sqrt.f64 x)) (hypot.f64 (sqrt.f64 x) x)) (/.f64 (sqrt.f64 x) (hypot.f64 (sqrt.f64 x) x)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (-.f64 (hypot.f64 #s(literal 1 binary64) (sqrt.f64 x)) (sqrt.f64 x)) (hypot.f64 (sqrt.f64 x) x)))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 (-.f64 (hypot.f64 #s(literal 1 binary64) (sqrt.f64 x)) (sqrt.f64 x)) (hypot.f64 (sqrt.f64 x) x)))
(*.f64 (pow.f64 x #s(literal -1/2 binary64)) (/.f64 (-.f64 (hypot.f64 #s(literal 1 binary64) (sqrt.f64 x)) (sqrt.f64 x)) (hypot.f64 #s(literal 1 binary64) (sqrt.f64 x))))
(*.f64 (-.f64 (hypot.f64 #s(literal 1 binary64) (sqrt.f64 x)) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (hypot.f64 (sqrt.f64 x) x)))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 (hypot.f64 #s(literal 1 binary64) (sqrt.f64 x)) (sqrt.f64 x)) (hypot.f64 (sqrt.f64 x) x))) #s(literal 2 binary64)) (cbrt.f64 (/.f64 (-.f64 (hypot.f64 #s(literal 1 binary64) (sqrt.f64 x)) (sqrt.f64 x)) (hypot.f64 (sqrt.f64 x) x))))
(*.f64 (sqrt.f64 (/.f64 (-.f64 (hypot.f64 #s(literal 1 binary64) (sqrt.f64 x)) (sqrt.f64 x)) (hypot.f64 (sqrt.f64 x) x))) (sqrt.f64 (/.f64 (-.f64 (hypot.f64 #s(literal 1 binary64) (sqrt.f64 x)) (sqrt.f64 x)) (hypot.f64 (sqrt.f64 x) x))))
(*.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 (+.f64 x (pow.f64 x #s(literal 2 binary64))))) (/.f64 (-.f64 (hypot.f64 #s(literal 1 binary64) (sqrt.f64 x)) (sqrt.f64 x)) (cbrt.f64 (hypot.f64 (sqrt.f64 x) x))))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (hypot.f64 (sqrt.f64 x) x))) (/.f64 (-.f64 (hypot.f64 #s(literal 1 binary64) (sqrt.f64 x)) (sqrt.f64 x)) (sqrt.f64 (hypot.f64 (sqrt.f64 x) x))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 (hypot.f64 #s(literal 1 binary64) (sqrt.f64 x)) (sqrt.f64 x))) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (cbrt.f64 (-.f64 (hypot.f64 #s(literal 1 binary64) (sqrt.f64 x)) (sqrt.f64 x))) (hypot.f64 (sqrt.f64 x) x)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 (hypot.f64 #s(literal 1 binary64) (sqrt.f64 x)) (sqrt.f64 x))) #s(literal 2 binary64)) (sqrt.f64 x)) (/.f64 (cbrt.f64 (-.f64 (hypot.f64 #s(literal 1 binary64) (sqrt.f64 x)) (sqrt.f64 x))) (hypot.f64 #s(literal 1 binary64) (sqrt.f64 x))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 (hypot.f64 #s(literal 1 binary64) (sqrt.f64 x)) (sqrt.f64 x))) #s(literal 2 binary64)) (cbrt.f64 (+.f64 x (pow.f64 x #s(literal 2 binary64))))) (cbrt.f64 (/.f64 (-.f64 (hypot.f64 #s(literal 1 binary64) (sqrt.f64 x)) (sqrt.f64 x)) (hypot.f64 (sqrt.f64 x) x))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 (hypot.f64 #s(literal 1 binary64) (sqrt.f64 x)) (sqrt.f64 x))) #s(literal 2 binary64)) (sqrt.f64 (hypot.f64 (sqrt.f64 x) x))) (/.f64 (cbrt.f64 (-.f64 (hypot.f64 #s(literal 1 binary64) (sqrt.f64 x)) (sqrt.f64 x))) (sqrt.f64 (hypot.f64 (sqrt.f64 x) x))))
(*.f64 (/.f64 (sqrt.f64 (-.f64 (hypot.f64 #s(literal 1 binary64) (sqrt.f64 x)) (sqrt.f64 x))) #s(literal 1 binary64)) (/.f64 (sqrt.f64 (-.f64 (hypot.f64 #s(literal 1 binary64) (sqrt.f64 x)) (sqrt.f64 x))) (hypot.f64 (sqrt.f64 x) x)))
(*.f64 (/.f64 (sqrt.f64 (-.f64 (hypot.f64 #s(literal 1 binary64) (sqrt.f64 x)) (sqrt.f64 x))) (sqrt.f64 x)) (/.f64 (sqrt.f64 (-.f64 (hypot.f64 #s(literal 1 binary64) (sqrt.f64 x)) (sqrt.f64 x))) (hypot.f64 #s(literal 1 binary64) (sqrt.f64 x))))
(*.f64 (/.f64 (sqrt.f64 (-.f64 (hypot.f64 #s(literal 1 binary64) (sqrt.f64 x)) (sqrt.f64 x))) (cbrt.f64 (+.f64 x (pow.f64 x #s(literal 2 binary64))))) (/.f64 (sqrt.f64 (-.f64 (hypot.f64 #s(literal 1 binary64) (sqrt.f64 x)) (sqrt.f64 x))) (cbrt.f64 (hypot.f64 (sqrt.f64 x) x))))
(pow.f64 (/.f64 (-.f64 (hypot.f64 #s(literal 1 binary64) (sqrt.f64 x)) (sqrt.f64 x)) (hypot.f64 (sqrt.f64 x) x)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (/.f64 (-.f64 (hypot.f64 #s(literal 1 binary64) (sqrt.f64 x)) (sqrt.f64 x)) (hypot.f64 (sqrt.f64 x) x))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (/.f64 (-.f64 (hypot.f64 #s(literal 1 binary64) (sqrt.f64 x)) (sqrt.f64 x)) (hypot.f64 (sqrt.f64 x) x)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (/.f64 (-.f64 (hypot.f64 #s(literal 1 binary64) (sqrt.f64 x)) (sqrt.f64 x)) (hypot.f64 (sqrt.f64 x) x))) #s(literal 2 binary64))
(pow.f64 (/.f64 (hypot.f64 (sqrt.f64 x) x) (-.f64 (hypot.f64 #s(literal 1 binary64) (sqrt.f64 x)) (sqrt.f64 x))) #s(literal -1 binary64))
(sqrt.f64 (pow.f64 (/.f64 (-.f64 (hypot.f64 #s(literal 1 binary64) (sqrt.f64 x)) (sqrt.f64 x)) (hypot.f64 (sqrt.f64 x) x)) #s(literal 2 binary64)))
(log.f64 (exp.f64 (/.f64 (-.f64 (hypot.f64 #s(literal 1 binary64) (sqrt.f64 x)) (sqrt.f64 x)) (hypot.f64 (sqrt.f64 x) x))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 (-.f64 (hypot.f64 #s(literal 1 binary64) (sqrt.f64 x)) (sqrt.f64 x)) (hypot.f64 (sqrt.f64 x) x)))))
(cbrt.f64 (pow.f64 (/.f64 (-.f64 (hypot.f64 #s(literal 1 binary64) (sqrt.f64 x)) (sqrt.f64 x)) (hypot.f64 (sqrt.f64 x) x)) #s(literal 3 binary64)))
(cbrt.f64 (/.f64 (pow.f64 (-.f64 (hypot.f64 #s(literal 1 binary64) (sqrt.f64 x)) (sqrt.f64 x)) #s(literal 3 binary64)) (pow.f64 (hypot.f64 (sqrt.f64 x) x) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (/.f64 (-.f64 (hypot.f64 #s(literal 1 binary64) (sqrt.f64 x)) (sqrt.f64 x)) (hypot.f64 (sqrt.f64 x) x))))
(log1p.f64 (expm1.f64 (/.f64 (-.f64 (hypot.f64 #s(literal 1 binary64) (sqrt.f64 x)) (sqrt.f64 x)) (hypot.f64 (sqrt.f64 x) x))))
(exp.f64 (log.f64 (/.f64 (-.f64 (hypot.f64 #s(literal 1 binary64) (sqrt.f64 x)) (sqrt.f64 x)) (hypot.f64 (sqrt.f64 x) x))))
(exp.f64 (*.f64 (log.f64 (/.f64 (-.f64 (hypot.f64 #s(literal 1 binary64) (sqrt.f64 x)) (sqrt.f64 x)) (hypot.f64 (sqrt.f64 x) x))) #s(literal 1 binary64)))

simplify255.0ms (2.5%)

Algorithm
egg-herbie
Rules
653×fma-neg
458×fma-define
438×associate-*r*
417×associate-*l*
299×*-commutative
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
090618521
1225516341
2769616321
Stop Event
node limit
Counts
433 → 496
Calls
Call 1
Inputs
(*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))
(sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64))))
(/.f64 (+.f64 (sqrt.f64 x) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (pow.f64 x #s(literal 3 binary64))))) (pow.f64 x #s(literal 3 binary64)))
(/.f64 (+.f64 (sqrt.f64 x) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (pow.f64 x #s(literal 3 binary64))))) (pow.f64 x #s(literal 3 binary64)))
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(*.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 (hypot.f64 #s(literal 1 binary64) (sqrt.f64 x)) (sqrt.f64 x)) (hypot.f64 (sqrt.f64 x) x))) #s(literal 2 binary64)) (cbrt.f64 (/.f64 (-.f64 (hypot.f64 #s(literal 1 binary64) (sqrt.f64 x)) (sqrt.f64 x)) (hypot.f64 (sqrt.f64 x) x))))
(*.f64 (sqrt.f64 (/.f64 (-.f64 (hypot.f64 #s(literal 1 binary64) (sqrt.f64 x)) (sqrt.f64 x)) (hypot.f64 (sqrt.f64 x) x))) (sqrt.f64 (/.f64 (-.f64 (hypot.f64 #s(literal 1 binary64) (sqrt.f64 x)) (sqrt.f64 x)) (hypot.f64 (sqrt.f64 x) x))))
(*.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 (+.f64 x (pow.f64 x #s(literal 2 binary64))))) (/.f64 (-.f64 (hypot.f64 #s(literal 1 binary64) (sqrt.f64 x)) (sqrt.f64 x)) (cbrt.f64 (hypot.f64 (sqrt.f64 x) x))))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (hypot.f64 (sqrt.f64 x) x))) (/.f64 (-.f64 (hypot.f64 #s(literal 1 binary64) (sqrt.f64 x)) (sqrt.f64 x)) (sqrt.f64 (hypot.f64 (sqrt.f64 x) x))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 (hypot.f64 #s(literal 1 binary64) (sqrt.f64 x)) (sqrt.f64 x))) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (cbrt.f64 (-.f64 (hypot.f64 #s(literal 1 binary64) (sqrt.f64 x)) (sqrt.f64 x))) (hypot.f64 (sqrt.f64 x) x)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 (hypot.f64 #s(literal 1 binary64) (sqrt.f64 x)) (sqrt.f64 x))) #s(literal 2 binary64)) (sqrt.f64 x)) (/.f64 (cbrt.f64 (-.f64 (hypot.f64 #s(literal 1 binary64) (sqrt.f64 x)) (sqrt.f64 x))) (hypot.f64 #s(literal 1 binary64) (sqrt.f64 x))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 (hypot.f64 #s(literal 1 binary64) (sqrt.f64 x)) (sqrt.f64 x))) #s(literal 2 binary64)) (cbrt.f64 (+.f64 x (pow.f64 x #s(literal 2 binary64))))) (cbrt.f64 (/.f64 (-.f64 (hypot.f64 #s(literal 1 binary64) (sqrt.f64 x)) (sqrt.f64 x)) (hypot.f64 (sqrt.f64 x) x))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 (hypot.f64 #s(literal 1 binary64) (sqrt.f64 x)) (sqrt.f64 x))) #s(literal 2 binary64)) (sqrt.f64 (hypot.f64 (sqrt.f64 x) x))) (/.f64 (cbrt.f64 (-.f64 (hypot.f64 #s(literal 1 binary64) (sqrt.f64 x)) (sqrt.f64 x))) (sqrt.f64 (hypot.f64 (sqrt.f64 x) x))))
(*.f64 (/.f64 (sqrt.f64 (-.f64 (hypot.f64 #s(literal 1 binary64) (sqrt.f64 x)) (sqrt.f64 x))) #s(literal 1 binary64)) (/.f64 (sqrt.f64 (-.f64 (hypot.f64 #s(literal 1 binary64) (sqrt.f64 x)) (sqrt.f64 x))) (hypot.f64 (sqrt.f64 x) x)))
(*.f64 (/.f64 (sqrt.f64 (-.f64 (hypot.f64 #s(literal 1 binary64) (sqrt.f64 x)) (sqrt.f64 x))) (sqrt.f64 x)) (/.f64 (sqrt.f64 (-.f64 (hypot.f64 #s(literal 1 binary64) (sqrt.f64 x)) (sqrt.f64 x))) (hypot.f64 #s(literal 1 binary64) (sqrt.f64 x))))
(*.f64 (/.f64 (sqrt.f64 (-.f64 (hypot.f64 #s(literal 1 binary64) (sqrt.f64 x)) (sqrt.f64 x))) (cbrt.f64 (+.f64 x (pow.f64 x #s(literal 2 binary64))))) (/.f64 (sqrt.f64 (-.f64 (hypot.f64 #s(literal 1 binary64) (sqrt.f64 x)) (sqrt.f64 x))) (cbrt.f64 (hypot.f64 (sqrt.f64 x) x))))
(pow.f64 (/.f64 (-.f64 (hypot.f64 #s(literal 1 binary64) (sqrt.f64 x)) (sqrt.f64 x)) (hypot.f64 (sqrt.f64 x) x)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (/.f64 (-.f64 (hypot.f64 #s(literal 1 binary64) (sqrt.f64 x)) (sqrt.f64 x)) (hypot.f64 (sqrt.f64 x) x))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (/.f64 (-.f64 (hypot.f64 #s(literal 1 binary64) (sqrt.f64 x)) (sqrt.f64 x)) (hypot.f64 (sqrt.f64 x) x)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (/.f64 (-.f64 (hypot.f64 #s(literal 1 binary64) (sqrt.f64 x)) (sqrt.f64 x)) (hypot.f64 (sqrt.f64 x) x))) #s(literal 2 binary64))
(pow.f64 (/.f64 (hypot.f64 (sqrt.f64 x) x) (-.f64 (hypot.f64 #s(literal 1 binary64) (sqrt.f64 x)) (sqrt.f64 x))) #s(literal -1 binary64))
(sqrt.f64 (pow.f64 (/.f64 (-.f64 (hypot.f64 #s(literal 1 binary64) (sqrt.f64 x)) (sqrt.f64 x)) (hypot.f64 (sqrt.f64 x) x)) #s(literal 2 binary64)))
(log.f64 (exp.f64 (/.f64 (-.f64 (hypot.f64 #s(literal 1 binary64) (sqrt.f64 x)) (sqrt.f64 x)) (hypot.f64 (sqrt.f64 x) x))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 (-.f64 (hypot.f64 #s(literal 1 binary64) (sqrt.f64 x)) (sqrt.f64 x)) (hypot.f64 (sqrt.f64 x) x)))))
(cbrt.f64 (pow.f64 (/.f64 (-.f64 (hypot.f64 #s(literal 1 binary64) (sqrt.f64 x)) (sqrt.f64 x)) (hypot.f64 (sqrt.f64 x) x)) #s(literal 3 binary64)))
(cbrt.f64 (/.f64 (pow.f64 (-.f64 (hypot.f64 #s(literal 1 binary64) (sqrt.f64 x)) (sqrt.f64 x)) #s(literal 3 binary64)) (pow.f64 (hypot.f64 (sqrt.f64 x) x) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (/.f64 (-.f64 (hypot.f64 #s(literal 1 binary64) (sqrt.f64 x)) (sqrt.f64 x)) (hypot.f64 (sqrt.f64 x) x))))
(log1p.f64 (expm1.f64 (/.f64 (-.f64 (hypot.f64 #s(literal 1 binary64) (sqrt.f64 x)) (sqrt.f64 x)) (hypot.f64 (sqrt.f64 x) x))))
(exp.f64 (log.f64 (/.f64 (-.f64 (hypot.f64 #s(literal 1 binary64) (sqrt.f64 x)) (sqrt.f64 x)) (hypot.f64 (sqrt.f64 x) x))))
(exp.f64 (*.f64 (log.f64 (/.f64 (-.f64 (hypot.f64 #s(literal 1 binary64) (sqrt.f64 x)) (sqrt.f64 x)) (hypot.f64 (sqrt.f64 x) x))) #s(literal 1 binary64)))
Outputs
(*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))
(neg.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))
(sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))
(neg.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))
(sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))
(neg.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))
(sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))
(neg.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))
(sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))))
(sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64))))
(/.f64 (+.f64 (sqrt.f64 x) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (pow.f64 x #s(literal 3 binary64))))) (pow.f64 x #s(literal 3 binary64)))
(/.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (pow.f64 x #s(literal 3 binary64))) (sqrt.f64 x)) (pow.f64 x #s(literal 3 binary64)))
(/.f64 (+.f64 (sqrt.f64 x) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (pow.f64 x #s(literal 3 binary64))))) (pow.f64 x #s(literal 3 binary64)))
(/.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (pow.f64 x #s(literal 3 binary64))) (sqrt.f64 x)) (pow.f64 x #s(literal 3 binary64)))
(/.f64 (+.f64 (sqrt.f64 x) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (pow.f64 x #s(literal 3 binary64))))) (pow.f64 x #s(literal 3 binary64)))
(/.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (pow.f64 x #s(literal 3 binary64))) (sqrt.f64 x)) (pow.f64 x #s(literal 3 binary64)))
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1/2 binary64))
(/.f64 (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) x)
(/.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))))) x)
(/.f64 (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) x)
(/.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))))) x)
(/.f64 (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) x)
(/.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))))) x)
(*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))
(*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) #s(literal 1/2 binary64))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal -1/2 binary64))
(*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))) (*.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))) x))
(neg.f64 (/.f64 (fma.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (*.f64 #s(literal -1/2 binary64) (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))) x))
(/.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))))) (neg.f64 x))
(*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))) (*.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))) x))
(neg.f64 (/.f64 (fma.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (*.f64 #s(literal -1/2 binary64) (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))) x))
(/.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))))) (neg.f64 x))
(*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))) (*.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))) x))
(neg.f64 (/.f64 (fma.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (*.f64 #s(literal -1/2 binary64) (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))) x))
(/.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))))) (neg.f64 x))
(sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))))
(neg.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))
(/.f64 (+.f64 (sqrt.f64 x) (*.f64 #s(literal 1/4 binary64) (sqrt.f64 (pow.f64 x #s(literal 3 binary64))))) (pow.f64 x #s(literal 2 binary64)))
(/.f64 (+.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 (pow.f64 x #s(literal 3 binary64))) #s(literal 1/4 binary64))) (pow.f64 x #s(literal 2 binary64)))
(/.f64 (fma.f64 (sqrt.f64 (pow.f64 x #s(literal 3 binary64))) #s(literal 1/4 binary64) (sqrt.f64 x)) (pow.f64 x #s(literal 2 binary64)))
(/.f64 (+.f64 (sqrt.f64 x) (*.f64 #s(literal 1/4 binary64) (sqrt.f64 (pow.f64 x #s(literal 3 binary64))))) (pow.f64 x #s(literal 2 binary64)))
(/.f64 (+.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 (pow.f64 x #s(literal 3 binary64))) #s(literal 1/4 binary64))) (pow.f64 x #s(literal 2 binary64)))
(/.f64 (fma.f64 (sqrt.f64 (pow.f64 x #s(literal 3 binary64))) #s(literal 1/4 binary64) (sqrt.f64 x)) (pow.f64 x #s(literal 2 binary64)))
(/.f64 (+.f64 (sqrt.f64 x) (*.f64 #s(literal 1/4 binary64) (sqrt.f64 (pow.f64 x #s(literal 3 binary64))))) (pow.f64 x #s(literal 2 binary64)))
(/.f64 (+.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 (pow.f64 x #s(literal 3 binary64))) #s(literal 1/4 binary64))) (pow.f64 x #s(literal 2 binary64)))
(/.f64 (fma.f64 (sqrt.f64 (pow.f64 x #s(literal 3 binary64))) #s(literal 1/4 binary64) (sqrt.f64 x)) (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal 1/4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/4 binary64))
(+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (*.f64 #s(literal 1/4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))
(+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/4 binary64)))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))))
(+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (*.f64 #s(literal 1/4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))
(+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/4 binary64)))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))))
(+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (*.f64 #s(literal 1/4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))
(+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/4 binary64)))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))))
(*.f64 #s(literal -1/4 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)) #s(literal 1/4 binary64))
(+.f64 (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))) (*.f64 #s(literal -1/4 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) (pow.f64 x #s(literal 3 binary64)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/4 binary64)))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))))
(+.f64 (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))) (*.f64 #s(literal -1/4 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) (pow.f64 x #s(literal 3 binary64)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/4 binary64)))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))))
(+.f64 (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))) (*.f64 #s(literal -1/4 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) (pow.f64 x #s(literal 3 binary64)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/4 binary64)))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))
(*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))))
(*.f64 #s(literal -1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))
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(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 (hypot.f64 #s(literal 1 binary64) (sqrt.f64 x)) (sqrt.f64 x))) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (cbrt.f64 (-.f64 (hypot.f64 #s(literal 1 binary64) (sqrt.f64 x)) (sqrt.f64 x))) (hypot.f64 (sqrt.f64 x) x)))
(/.f64 (-.f64 (hypot.f64 #s(literal 1 binary64) (sqrt.f64 x)) (sqrt.f64 x)) (hypot.f64 (sqrt.f64 x) x))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 (hypot.f64 #s(literal 1 binary64) (sqrt.f64 x)) (sqrt.f64 x))) #s(literal 2 binary64)) (sqrt.f64 x)) (/.f64 (cbrt.f64 (-.f64 (hypot.f64 #s(literal 1 binary64) (sqrt.f64 x)) (sqrt.f64 x))) (hypot.f64 #s(literal 1 binary64) (sqrt.f64 x))))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 x) (hypot.f64 #s(literal 1 binary64) (sqrt.f64 x)))) (sqrt.f64 x))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 (hypot.f64 #s(literal 1 binary64) (sqrt.f64 x)) (sqrt.f64 x))) #s(literal 2 binary64)) (cbrt.f64 (+.f64 x (pow.f64 x #s(literal 2 binary64))))) (cbrt.f64 (/.f64 (-.f64 (hypot.f64 #s(literal 1 binary64) (sqrt.f64 x)) (sqrt.f64 x)) (hypot.f64 (sqrt.f64 x) x))))
(*.f64 (cbrt.f64 (/.f64 (-.f64 (hypot.f64 #s(literal 1 binary64) (sqrt.f64 x)) (sqrt.f64 x)) (hypot.f64 (sqrt.f64 x) x))) (/.f64 (pow.f64 (cbrt.f64 (-.f64 (hypot.f64 #s(literal 1 binary64) (sqrt.f64 x)) (sqrt.f64 x))) #s(literal 2 binary64)) (cbrt.f64 (+.f64 x (pow.f64 x #s(literal 2 binary64))))))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 (hypot.f64 #s(literal 1 binary64) (sqrt.f64 x)) (sqrt.f64 x))) #s(literal 2 binary64)) (/.f64 (cbrt.f64 (/.f64 (-.f64 (hypot.f64 #s(literal 1 binary64) (sqrt.f64 x)) (sqrt.f64 x)) (hypot.f64 (sqrt.f64 x) x))) (cbrt.f64 (fma.f64 x x x))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 (hypot.f64 #s(literal 1 binary64) (sqrt.f64 x)) (sqrt.f64 x))) #s(literal 2 binary64)) (sqrt.f64 (hypot.f64 (sqrt.f64 x) x))) (/.f64 (cbrt.f64 (-.f64 (hypot.f64 #s(literal 1 binary64) (sqrt.f64 x)) (sqrt.f64 x))) (sqrt.f64 (hypot.f64 (sqrt.f64 x) x))))
(/.f64 (-.f64 (hypot.f64 #s(literal 1 binary64) (sqrt.f64 x)) (sqrt.f64 x)) (hypot.f64 (sqrt.f64 x) x))
(*.f64 (/.f64 (sqrt.f64 (-.f64 (hypot.f64 #s(literal 1 binary64) (sqrt.f64 x)) (sqrt.f64 x))) #s(literal 1 binary64)) (/.f64 (sqrt.f64 (-.f64 (hypot.f64 #s(literal 1 binary64) (sqrt.f64 x)) (sqrt.f64 x))) (hypot.f64 (sqrt.f64 x) x)))
(/.f64 (-.f64 (hypot.f64 #s(literal 1 binary64) (sqrt.f64 x)) (sqrt.f64 x)) (hypot.f64 (sqrt.f64 x) x))
(*.f64 (/.f64 (sqrt.f64 (-.f64 (hypot.f64 #s(literal 1 binary64) (sqrt.f64 x)) (sqrt.f64 x))) (sqrt.f64 x)) (/.f64 (sqrt.f64 (-.f64 (hypot.f64 #s(literal 1 binary64) (sqrt.f64 x)) (sqrt.f64 x))) (hypot.f64 #s(literal 1 binary64) (sqrt.f64 x))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 (hypot.f64 #s(literal 1 binary64) (sqrt.f64 x)) (sqrt.f64 x))) #s(literal 2 binary64)) (sqrt.f64 x)) (/.f64 (cbrt.f64 (-.f64 (hypot.f64 #s(literal 1 binary64) (sqrt.f64 x)) (sqrt.f64 x))) (hypot.f64 #s(literal 1 binary64) (sqrt.f64 x))))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 x) (hypot.f64 #s(literal 1 binary64) (sqrt.f64 x)))) (sqrt.f64 x))
(*.f64 (/.f64 (sqrt.f64 (-.f64 (hypot.f64 #s(literal 1 binary64) (sqrt.f64 x)) (sqrt.f64 x))) (cbrt.f64 (+.f64 x (pow.f64 x #s(literal 2 binary64))))) (/.f64 (sqrt.f64 (-.f64 (hypot.f64 #s(literal 1 binary64) (sqrt.f64 x)) (sqrt.f64 x))) (cbrt.f64 (hypot.f64 (sqrt.f64 x) x))))
(*.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 (+.f64 x (pow.f64 x #s(literal 2 binary64))))) (/.f64 (-.f64 (hypot.f64 #s(literal 1 binary64) (sqrt.f64 x)) (sqrt.f64 x)) (cbrt.f64 (hypot.f64 (sqrt.f64 x) x))))
(/.f64 (/.f64 (-.f64 (hypot.f64 #s(literal 1 binary64) (sqrt.f64 x)) (sqrt.f64 x)) (cbrt.f64 (fma.f64 x x x))) (cbrt.f64 (hypot.f64 (sqrt.f64 x) x)))
(pow.f64 (/.f64 (-.f64 (hypot.f64 #s(literal 1 binary64) (sqrt.f64 x)) (sqrt.f64 x)) (hypot.f64 (sqrt.f64 x) x)) #s(literal 1 binary64))
(/.f64 (-.f64 (hypot.f64 #s(literal 1 binary64) (sqrt.f64 x)) (sqrt.f64 x)) (hypot.f64 (sqrt.f64 x) x))
(pow.f64 (cbrt.f64 (/.f64 (-.f64 (hypot.f64 #s(literal 1 binary64) (sqrt.f64 x)) (sqrt.f64 x)) (hypot.f64 (sqrt.f64 x) x))) #s(literal 3 binary64))
(/.f64 (-.f64 (hypot.f64 #s(literal 1 binary64) (sqrt.f64 x)) (sqrt.f64 x)) (hypot.f64 (sqrt.f64 x) x))
(pow.f64 (pow.f64 (/.f64 (-.f64 (hypot.f64 #s(literal 1 binary64) (sqrt.f64 x)) (sqrt.f64 x)) (hypot.f64 (sqrt.f64 x) x)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(/.f64 (-.f64 (hypot.f64 #s(literal 1 binary64) (sqrt.f64 x)) (sqrt.f64 x)) (hypot.f64 (sqrt.f64 x) x))
(pow.f64 (sqrt.f64 (/.f64 (-.f64 (hypot.f64 #s(literal 1 binary64) (sqrt.f64 x)) (sqrt.f64 x)) (hypot.f64 (sqrt.f64 x) x))) #s(literal 2 binary64))
(/.f64 (-.f64 (hypot.f64 #s(literal 1 binary64) (sqrt.f64 x)) (sqrt.f64 x)) (hypot.f64 (sqrt.f64 x) x))
(pow.f64 (/.f64 (hypot.f64 (sqrt.f64 x) x) (-.f64 (hypot.f64 #s(literal 1 binary64) (sqrt.f64 x)) (sqrt.f64 x))) #s(literal -1 binary64))
(/.f64 (-.f64 (hypot.f64 #s(literal 1 binary64) (sqrt.f64 x)) (sqrt.f64 x)) (hypot.f64 (sqrt.f64 x) x))
(sqrt.f64 (pow.f64 (/.f64 (-.f64 (hypot.f64 #s(literal 1 binary64) (sqrt.f64 x)) (sqrt.f64 x)) (hypot.f64 (sqrt.f64 x) x)) #s(literal 2 binary64)))
(fabs.f64 (/.f64 (-.f64 (hypot.f64 #s(literal 1 binary64) (sqrt.f64 x)) (sqrt.f64 x)) (hypot.f64 (sqrt.f64 x) x)))
(log.f64 (exp.f64 (/.f64 (-.f64 (hypot.f64 #s(literal 1 binary64) (sqrt.f64 x)) (sqrt.f64 x)) (hypot.f64 (sqrt.f64 x) x))))
(/.f64 (-.f64 (hypot.f64 #s(literal 1 binary64) (sqrt.f64 x)) (sqrt.f64 x)) (hypot.f64 (sqrt.f64 x) x))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 (-.f64 (hypot.f64 #s(literal 1 binary64) (sqrt.f64 x)) (sqrt.f64 x)) (hypot.f64 (sqrt.f64 x) x)))))
(/.f64 (-.f64 (hypot.f64 #s(literal 1 binary64) (sqrt.f64 x)) (sqrt.f64 x)) (hypot.f64 (sqrt.f64 x) x))
(cbrt.f64 (pow.f64 (/.f64 (-.f64 (hypot.f64 #s(literal 1 binary64) (sqrt.f64 x)) (sqrt.f64 x)) (hypot.f64 (sqrt.f64 x) x)) #s(literal 3 binary64)))
(/.f64 (-.f64 (hypot.f64 #s(literal 1 binary64) (sqrt.f64 x)) (sqrt.f64 x)) (hypot.f64 (sqrt.f64 x) x))
(cbrt.f64 (/.f64 (pow.f64 (-.f64 (hypot.f64 #s(literal 1 binary64) (sqrt.f64 x)) (sqrt.f64 x)) #s(literal 3 binary64)) (pow.f64 (hypot.f64 (sqrt.f64 x) x) #s(literal 3 binary64))))
(/.f64 (-.f64 (hypot.f64 #s(literal 1 binary64) (sqrt.f64 x)) (sqrt.f64 x)) (hypot.f64 (sqrt.f64 x) x))
(expm1.f64 (log1p.f64 (/.f64 (-.f64 (hypot.f64 #s(literal 1 binary64) (sqrt.f64 x)) (sqrt.f64 x)) (hypot.f64 (sqrt.f64 x) x))))
(log1p.f64 (expm1.f64 (/.f64 (-.f64 (hypot.f64 #s(literal 1 binary64) (sqrt.f64 x)) (sqrt.f64 x)) (hypot.f64 (sqrt.f64 x) x))))
(/.f64 (-.f64 (hypot.f64 #s(literal 1 binary64) (sqrt.f64 x)) (sqrt.f64 x)) (hypot.f64 (sqrt.f64 x) x))
(exp.f64 (log.f64 (/.f64 (-.f64 (hypot.f64 #s(literal 1 binary64) (sqrt.f64 x)) (sqrt.f64 x)) (hypot.f64 (sqrt.f64 x) x))))
(/.f64 (-.f64 (hypot.f64 #s(literal 1 binary64) (sqrt.f64 x)) (sqrt.f64 x)) (hypot.f64 (sqrt.f64 x) x))
(exp.f64 (*.f64 (log.f64 (/.f64 (-.f64 (hypot.f64 #s(literal 1 binary64) (sqrt.f64 x)) (sqrt.f64 x)) (hypot.f64 (sqrt.f64 x) x))) #s(literal 1 binary64)))
(/.f64 (-.f64 (hypot.f64 #s(literal 1 binary64) (sqrt.f64 x)) (sqrt.f64 x)) (hypot.f64 (sqrt.f64 x) x))

eval301.0ms (3%)

Compiler

Compiled 18403 to 14033 computations (23.7% saved)

prune117.0ms (1.2%)

Pruning

26 alts after pruning (23 fresh and 3 done)

PrunedKeptTotal
New58215597
Fresh5813
Picked235
Done000
Total58926615
Accuracy
81.1%
Counts
615 → 26
Alt Table
Click to see full alt table
StatusAccuracyProgram
34.0%
(pow.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/4 binary64))
5.5%
(pow.f64 (pow.f64 x #s(literal 1/4 binary64)) #s(literal -2 binary64))
5.5%
(pow.f64 (pow.f64 x #s(literal 1/8 binary64)) #s(literal -4 binary64))
5.5%
(pow.f64 (pow.f64 x #s(literal -1/4 binary64)) #s(literal 2 binary64))
5.5%
(pow.f64 x #s(literal -1/2 binary64))
80.2%
(/.f64 (/.f64 (+.f64 (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) x) (sqrt.f64 (*.f64 x (+.f64 #s(literal 1 binary64) x))))
80.8%
(/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 x) (hypot.f64 #s(literal 1 binary64) (sqrt.f64 x)))) (sqrt.f64 (*.f64 x (+.f64 #s(literal 1 binary64) x))))
34.8%
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x))) (+.f64 (pow.f64 x #s(literal -1/2 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64))))
80.2%
(/.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) x)))) (+.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 x)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))) (pow.f64 x #s(literal 2 binary64)))
34.5%
(/.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)) (*.f64 (-.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/8 binary64) x)) x)) (neg.f64 x)))
34.3%
(/.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)) (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) x))))
34.8%
(/.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)) (sqrt.f64 (*.f64 x (+.f64 #s(literal 1 binary64) x))))
34.1%
(/.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)) x)
80.2%
(/.f64 (+.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal 3/16 binary64) (*.f64 (sqrt.f64 x) #s(literal 1/2 binary64))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -3/8 binary64))) (pow.f64 x #s(literal 2 binary64)))
79.6%
(/.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (sqrt.f64 (*.f64 x (+.f64 #s(literal 1 binary64) x))))
79.6%
(/.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 x))) (pow.f64 x #s(literal 2 binary64)))
5.5%
(/.f64 #s(literal 1 binary64) (sqrt.f64 x))
34.8%
(-.f64 (pow.f64 x #s(literal -1/2 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)))
27.1%
(-.f64 (pow.f64 x #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))
27.4%
(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)))
79.6%
(*.f64 (/.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64))) (-.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)))
34.8%
(*.f64 (+.f64 (/.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)) #s(literal -1 binary64)) (/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)) #s(literal 1 binary64)))
61.6%
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))))
5.5%
(sqrt.f64 (/.f64 #s(literal 1 binary64) x))
5.5%
(exp.f64 (*.f64 #s(literal -1/2 binary64) (log.f64 x)))
30.5%
(cbrt.f64 (pow.f64 x #s(literal -3/2 binary64)))
Compiler

Compiled 619 to 492 computations (20.5% saved)

localize726.0ms (7.2%)

Localize:

Found 11 expressions with local error:

NewAccuracyProgram
100.0%
(*.f64 (-.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/8 binary64) x)) x)) (neg.f64 x))
100.0%
(/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/8 binary64) x)) x)
99.8%
(/.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)) (*.f64 (-.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/8 binary64) x)) x)) (neg.f64 x)))
5.7%
(-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x))
99.8%
(/.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)) x)
5.7%
(-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x))
98.5%
(pow.f64 (pow.f64 x #s(literal 1/8 binary64)) #s(literal -4 binary64))
100.0%
(hypot.f64 #s(literal 1 binary64) (sqrt.f64 x))
99.8%
(/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 x) (hypot.f64 #s(literal 1 binary64) (sqrt.f64 x)))) (sqrt.f64 (*.f64 x (+.f64 #s(literal 1 binary64) x))))
99.6%
(/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 x) (hypot.f64 #s(literal 1 binary64) (sqrt.f64 x))))
53.7%
(sqrt.f64 (*.f64 x (+.f64 #s(literal 1 binary64) x)))
Results
395.0ms129×1024valid
124.0ms68×512valid
33.0ms46×256valid
44.0ms13×2048valid
Compiler

Compiled 178 to 112 computations (37.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 517.0ms
ival-sqrt: 114.0ms (22.1% of total)
ival-pow: 95.0ms (18.4% of total)
ival-add: 78.0ms (15.1% of total)
<compiled-spec>: 70.0ms (13.5% of total)
ival-div: 66.0ms (12.8% of total)
ival-mult: 57.0ms (11% of total)
ival-sub: 21.0ms (4.1% of total)
const: 13.0ms (2.5% of total)
ival-neg: 3.0ms (0.6% of total)

series26.0ms (0.3%)

Counts
8 → 96
Calls
Call 1
Inputs
#<alt (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 x) (hypot.f64 #s(literal 1 binary64) (sqrt.f64 x))))>
#<alt (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 x) (hypot.f64 #s(literal 1 binary64) (sqrt.f64 x)))) (sqrt.f64 (*.f64 x (+.f64 #s(literal 1 binary64) x))))>
#<alt (hypot.f64 #s(literal 1 binary64) (sqrt.f64 x))>
#<alt (pow.f64 (pow.f64 x #s(literal 1/8 binary64)) #s(literal -4 binary64))>
#<alt (/.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)) x)>
#<alt (/.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)) (*.f64 (-.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/8 binary64) x)) x)) (neg.f64 x)))>
#<alt (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/8 binary64) x)) x)>
#<alt (*.f64 (-.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/8 binary64) x)) x)) (neg.f64 x))>
Outputs
#<alt (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (sqrt.f64 x)))>
#<alt (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x (pow.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (sqrt.f64 x))))>
#<alt (+.f64 (*.f64 x (-.f64 (*.f64 x (+.f64 (*.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 2 binary64)))) (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 3 binary64)))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 2 binary64)))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (sqrt.f64 x))))>
#<alt (+.f64 (*.f64 x (-.f64 (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 2 binary64)))) (+.f64 (*.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 3 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (*.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 2 binary64)))) (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 3 binary64))))) (+.f64 #s(literal 1 binary64) (sqrt.f64 x)))))))) (+.f64 (*.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 2 binary64)))) (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 3 binary64))))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 2 binary64)))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (sqrt.f64 x))))>
#<alt (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))>
#<alt (/.f64 (+.f64 (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) x)>
#<alt (/.f64 (-.f64 (+.f64 (*.f64 #s(literal 1/16 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) (*.f64 #s(literal 1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) x)>
#<alt (/.f64 (-.f64 (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal 1/128 binary64) (sqrt.f64 (pow.f64 x #s(literal 7 binary64)))) (*.f64 #s(literal 1/32 binary64) (sqrt.f64 (pow.f64 x #s(literal 7 binary64))))) (pow.f64 x #s(literal 6 binary64)))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) (+.f64 (*.f64 #s(literal -1/16 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))))) (*.f64 #s(literal 1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))) x)>
#<alt (*.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))>
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#<alt (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))))>
#<alt (/.f64 (+.f64 (*.f64 #s(literal -1/4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) (pow.f64 x #s(literal 2 binary64)))>
#<alt (/.f64 (-.f64 (+.f64 (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) (+.f64 (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))))) (+.f64 (*.f64 #s(literal -1/16 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))))) (*.f64 #s(literal 1/4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))) (pow.f64 x #s(literal 2 binary64)))>
#<alt (/.f64 (-.f64 (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal 1/32 binary64) (sqrt.f64 x)) (*.f64 #s(literal 1/2 binary64) (-.f64 (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (pow.f64 x #s(literal 3 binary64)))) (+.f64 (*.f64 #s(literal -1/8 binary64) (sqrt.f64 x)) (*.f64 #s(literal -1/16 binary64) (sqrt.f64 x)))))) (pow.f64 x #s(literal 3 binary64)))) (+.f64 (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))) (+.f64 (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))))) (+.f64 (*.f64 #s(literal -1/16 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))))) (*.f64 #s(literal 1/4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))) (pow.f64 x #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))))>
#<alt (/.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 x)) (*.f64 #s(literal 1/4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) (pow.f64 x #s(literal 2 binary64)))>
#<alt (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (+.f64 (*.f64 #s(literal -1/4 binary64) (sqrt.f64 x)) (*.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 x) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))) (+.f64 (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (*.f64 #s(literal -1/16 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))) x)) (*.f64 #s(literal -1/2 binary64) (sqrt.f64 x))) (pow.f64 x #s(literal 2 binary64)))>
#<alt (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (-.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (pow.f64 x #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))) (+.f64 (*.f64 #s(literal -1/8 binary64) (sqrt.f64 x)) (*.f64 #s(literal -1/16 binary64) (sqrt.f64 x))))) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (pow.f64 x #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))) (+.f64 (*.f64 #s(literal -1/8 binary64) (sqrt.f64 x)) (*.f64 #s(literal -1/16 binary64) (sqrt.f64 x))))) (*.f64 #s(literal -1/32 binary64) (sqrt.f64 x))) x))) x)) (*.f64 #s(literal -1/4 binary64) (sqrt.f64 x))) x)) (*.f64 #s(literal -1/2 binary64) (sqrt.f64 x))) (pow.f64 x #s(literal 2 binary64)))>
#<alt (/.f64 #s(literal -1/8 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (/.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 1/8 binary64)) (pow.f64 x #s(literal 2 binary64)))>
#<alt (/.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 1/8 binary64)) (pow.f64 x #s(literal 2 binary64)))>
#<alt (/.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 1/8 binary64)) (pow.f64 x #s(literal 2 binary64)))>
#<alt (/.f64 #s(literal 1/2 binary64) x)>
#<alt (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) x))) x)>
#<alt (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) x))) x)>
#<alt (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) x))) x)>
#<alt (/.f64 #s(literal 1/2 binary64) x)>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)) x))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)) x))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)) x))>
#<alt (/.f64 #s(literal -1/8 binary64) x)>
#<alt (/.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 1/8 binary64)) x)>
#<alt (/.f64 (-.f64 (*.f64 x (+.f64 #s(literal 1/2 binary64) x)) #s(literal 1/8 binary64)) x)>
#<alt (/.f64 (-.f64 (*.f64 x (+.f64 #s(literal 1/2 binary64) x)) #s(literal 1/8 binary64)) x)>
#<alt x>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))))>
#<alt (*.f64 x (-.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))) (/.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 2 binary64)))))>
#<alt (*.f64 x (-.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))) (/.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 2 binary64)))))>
#<alt x>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) x))) x)) #s(literal 1 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) x))) x)) #s(literal 1 binary64))))>
Calls

24 calls:

TimeVariablePointExpression
3.0ms
x
@-inf
(/ (- (sqrt (+ 1 x)) (sqrt x)) x)
1.0ms
x
@0
(/ (/ 1 (+ (sqrt x) (sqrt (+ (* 1 1) (* (sqrt x) (sqrt x)))))) (sqrt (* x (+ 1 x))))
1.0ms
x
@-inf
(/ 1 (+ (sqrt x) (sqrt (+ (* 1 1) (* (sqrt x) (sqrt x))))))
1.0ms
x
@-inf
(/ (- (sqrt (+ 1 x)) (sqrt x)) (* (- -1 (/ (+ 1/2 (/ -1/8 x)) x)) (neg x)))
1.0ms
x
@0
(/ (- (sqrt (+ 1 x)) (sqrt x)) (* (- -1 (/ (+ 1/2 (/ -1/8 x)) x)) (neg x)))

rewrite105.0ms (1%)

Algorithm
batch-egg-rewrite
Rules
236×log1p-expm1-u
236×expm1-log1p-u
230×add-cube-cbrt
229×pow1
228×add-exp-log
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
032299
1558285
Stop Event
node limit
Counts
8 → 279
Calls
Call 1
Inputs
(/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 x) (hypot.f64 #s(literal 1 binary64) (sqrt.f64 x))))
(/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 x) (hypot.f64 #s(literal 1 binary64) (sqrt.f64 x)))) (sqrt.f64 (*.f64 x (+.f64 #s(literal 1 binary64) x))))
(hypot.f64 #s(literal 1 binary64) (sqrt.f64 x))
(pow.f64 (pow.f64 x #s(literal 1/8 binary64)) #s(literal -4 binary64))
(/.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)) x)
(/.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)) (*.f64 (-.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/8 binary64) x)) x)) (neg.f64 x)))
(/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/8 binary64) x)) x)
(*.f64 (-.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/8 binary64) x)) x)) (neg.f64 x))
Outputs
(-.f64 (exp.f64 (log1p.f64 (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 #s(literal 1 binary64) x)))))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 #s(literal 1 binary64) x)))))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 #s(literal 1 binary64) x)))) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 #s(literal 1 binary64) x)))))
(*.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))))) (cbrt.f64 (pow.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) #s(literal -2 binary64))))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) #s(literal -2 binary64))) (/.f64 #s(literal 1 binary64) (cbrt.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))))))
(*.f64 (pow.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) #s(literal -1/2 binary64)) (pow.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) #s(literal -1/2 binary64)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 #s(literal 1 binary64) x)))) #s(literal 2 binary64)) #s(literal -1 binary64)) (pow.f64 (cbrt.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 #s(literal 1 binary64) x)))) #s(literal -1 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 #s(literal 1 binary64) x)))) #s(literal -1 binary64)) (pow.f64 (sqrt.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 #s(literal 1 binary64) x)))) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3/2 binary64)))) (-.f64 (+.f64 #s(literal 1 binary64) (-.f64 x x)) (hypot.f64 (sqrt.f64 x) x)))
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 x (+.f64 #s(literal 1 binary64) x))) (-.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))))
(pow.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) #s(literal -1 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 #s(literal 1 binary64) x)))) #s(literal 1 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 #s(literal 1 binary64) x)))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (pow.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) #s(literal -1/2 binary64)) #s(literal 2 binary64))
(neg.f64 (/.f64 #s(literal -1 binary64) (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 #s(literal 1 binary64) x)))))
(sqrt.f64 (pow.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) #s(literal -2 binary64)))
(log.f64 (exp.f64 (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 #s(literal 1 binary64) x)))))))
(cbrt.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 #s(literal 1 binary64) x)))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))))))
(log1p.f64 (expm1.f64 (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))))))
(exp.f64 (neg.f64 (log.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))))))
(exp.f64 (*.f64 (log.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 #s(literal 1 binary64) x)))) #s(literal -1 binary64)))
(exp.f64 (*.f64 (neg.f64 (log.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (hypot.f64 (sqrt.f64 x) x))))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (hypot.f64 (sqrt.f64 x) x))))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 #s(literal 1 binary64) x)))) (/.f64 #s(literal 1 binary64) (hypot.f64 (sqrt.f64 x) x)))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (hypot.f64 (sqrt.f64 x) x))) #s(literal 1 binary64))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) #s(literal -2 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))))) (hypot.f64 (sqrt.f64 x) x)))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) #s(literal -2 binary64))) (*.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))))) (/.f64 #s(literal 1 binary64) (hypot.f64 (sqrt.f64 x) x))))
(*.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 (*.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (hypot.f64 (sqrt.f64 x) x)))) (cbrt.f64 (/.f64 (pow.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) #s(literal -2 binary64)) (fma.f64 x x x))))
(*.f64 (cbrt.f64 (/.f64 (pow.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) #s(literal -2 binary64)) (fma.f64 x x x))) (/.f64 #s(literal 1 binary64) (cbrt.f64 (*.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (hypot.f64 (sqrt.f64 x) x)))))
(*.f64 (pow.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) #s(literal -1/2 binary64)) (/.f64 (pow.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) #s(literal -1/2 binary64)) (hypot.f64 (sqrt.f64 x) x)))
(*.f64 (pow.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) #s(literal -1/2 binary64)) (*.f64 (pow.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) (hypot.f64 (sqrt.f64 x) x))))
(*.f64 (/.f64 (pow.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) #s(literal -1/2 binary64)) (sqrt.f64 (hypot.f64 (sqrt.f64 x) x))) (/.f64 (pow.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) #s(literal -1/2 binary64)) (sqrt.f64 (hypot.f64 (sqrt.f64 x) x))))
(*.f64 (/.f64 #s(literal -1 binary64) (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 #s(literal 1 binary64) x)))) (/.f64 #s(literal 1 binary64) (neg.f64 (hypot.f64 (sqrt.f64 x) x))))
(*.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 (sqrt.f64 x) x)) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 #s(literal 1 binary64) x)))))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 #s(literal 1 binary64) x)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))))
(*.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 (fma.f64 x x x))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 #s(literal 1 binary64) x)))) (cbrt.f64 (hypot.f64 (sqrt.f64 x) x))))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (hypot.f64 (sqrt.f64 x) x))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 #s(literal 1 binary64) x)))) (sqrt.f64 (hypot.f64 (sqrt.f64 x) x))))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) #s(literal -2 binary64))) #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))))) (hypot.f64 (sqrt.f64 x) x)))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) #s(literal -2 binary64))) (sqrt.f64 x)) (/.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))))) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))))
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(pow.f64 (cbrt.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/8 binary64) x)) x)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/8 binary64) x)) x) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/8 binary64) x)) x)) #s(literal 2 binary64))
(pow.f64 (/.f64 x (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/8 binary64) x))) #s(literal -1 binary64))
(neg.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/8 binary64) x)) x))
(sqrt.f64 (pow.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/8 binary64) x)) x) #s(literal 2 binary64)))
(log.f64 (exp.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/8 binary64) x)) x)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/8 binary64) x)) x))))
(log.f64 (/.f64 #s(literal 1 binary64) (exp.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/8 binary64) x)) x))))
(cbrt.f64 (pow.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/8 binary64) x)) x) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/8 binary64) x)) x)))
(log1p.f64 (expm1.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/8 binary64) x)) x)))
(exp.f64 (log.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/8 binary64) x)) x)))
(exp.f64 (*.f64 (log.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/8 binary64) x)) x)) #s(literal 1 binary64)))
(+.f64 x (*.f64 x (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/8 binary64) x)) x)))
(+.f64 x (*.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/8 binary64) x)) x) x))
(-.f64 #s(literal 0 binary64) (*.f64 x (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/8 binary64) x)) x))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/8 binary64) x)) x))))) #s(literal 1 binary64))
(/.f64 (*.f64 x (-.f64 #s(literal -1 binary64) (pow.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/8 binary64) x)) x) #s(literal 3 binary64)))) (+.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/8 binary64) x)) x) #s(literal 2 binary64))) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/8 binary64) x)) x)))
(/.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/8 binary64) x)) x) #s(literal 2 binary64)))) (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/8 binary64) x)) x)))
(/.f64 (*.f64 (-.f64 #s(literal -1 binary64) (pow.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/8 binary64) x)) x) #s(literal 3 binary64))) x) (+.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/8 binary64) x)) x) #s(literal 2 binary64))) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/8 binary64) x)) x)))
(/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/8 binary64) x)) x) #s(literal 2 binary64))) x) (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/8 binary64) x)) x)))
(pow.f64 (*.f64 x (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/8 binary64) x)) x))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 x (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/8 binary64) x)) x)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 x (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/8 binary64) x)) x))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 x (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/8 binary64) x)) x)))) #s(literal 2 binary64))
(neg.f64 (*.f64 x (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/8 binary64) x)) x))))
(sqrt.f64 (pow.f64 (*.f64 x (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/8 binary64) x)) x))) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 x) (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/8 binary64) x)) x))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/8 binary64) x)) x))))))
(cbrt.f64 (pow.f64 (*.f64 x (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/8 binary64) x)) x))) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/8 binary64) x)) x)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/8 binary64) x)) x)) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 x (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/8 binary64) x)) x)))))
(log1p.f64 (expm1.f64 (*.f64 x (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/8 binary64) x)) x)))))
(exp.f64 (log.f64 (*.f64 x (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/8 binary64) x)) x)))))
(exp.f64 (*.f64 (log.f64 (*.f64 x (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/8 binary64) x)) x)))) #s(literal 1 binary64)))

simplify194.0ms (1.9%)

Algorithm
egg-herbie
Rules
490×fma-define
403×*-commutative
339×associate-*r/
291×associate-*r*
283×associate-*l*
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
096919566
1243117358
Stop Event
node limit
Counts
375 → 519
Calls
Call 1
Inputs
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (sqrt.f64 x)))
(+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x (pow.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (sqrt.f64 x))))
(+.f64 (*.f64 x (-.f64 (*.f64 x (+.f64 (*.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 2 binary64)))) (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 3 binary64)))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 2 binary64)))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (sqrt.f64 x))))
(+.f64 (*.f64 x (-.f64 (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 2 binary64)))) (+.f64 (*.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 3 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (*.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 2 binary64)))) (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 3 binary64))))) (+.f64 #s(literal 1 binary64) (sqrt.f64 x)))))))) (+.f64 (*.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 2 binary64)))) (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 3 binary64))))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 2 binary64)))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (sqrt.f64 x))))
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
(/.f64 (+.f64 (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) x)
(/.f64 (-.f64 (+.f64 (*.f64 #s(literal 1/16 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) (*.f64 #s(literal 1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) x)
(/.f64 (-.f64 (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal 1/128 binary64) (sqrt.f64 (pow.f64 x #s(literal 7 binary64)))) (*.f64 #s(literal 1/32 binary64) (sqrt.f64 (pow.f64 x #s(literal 7 binary64))))) (pow.f64 x #s(literal 6 binary64)))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) (+.f64 (*.f64 #s(literal -1/16 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))))) (*.f64 #s(literal 1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))) x)
(*.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
(*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) x))
(*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (+.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64))))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) (*.f64 #s(literal 1/8 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))) x))
(*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal 1/128 binary64) (*.f64 (sqrt.f64 (pow.f64 x #s(literal 7 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 6 binary64))))) (*.f64 #s(literal 1/32 binary64) (*.f64 (sqrt.f64 (pow.f64 x #s(literal 7 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 6 binary64)))))) (pow.f64 x #s(literal 6 binary64)))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) (+.f64 (*.f64 #s(literal -1/16 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64))))) (*.f64 #s(literal 1/8 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))))) x))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (sqrt.f64 x))))
(/.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 (pow.f64 x #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 2 binary64))))) (*.f64 (sqrt.f64 x) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (sqrt.f64 x))))) x)
(/.f64 (+.f64 (*.f64 x (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 x) (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 2 binary64))))) (*.f64 x (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (sqrt.f64 x))))) (*.f64 (sqrt.f64 x) (+.f64 (*.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 2 binary64)))) (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 3 binary64)))))))))) (*.f64 (sqrt.f64 x) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (sqrt.f64 x))))) x)
(/.f64 (+.f64 (*.f64 x (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 x) (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 2 binary64))))) (*.f64 x (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (sqrt.f64 x))))) (+.f64 (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 x) (+.f64 (*.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 2 binary64)))) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (*.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 2 binary64)))) (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 3 binary64))))) (+.f64 #s(literal 1 binary64) (sqrt.f64 x)))) (*.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 3 binary64)))))))) (+.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 2 binary64))))) (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (sqrt.f64 x)))))))) (*.f64 (sqrt.f64 x) (+.f64 (*.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 2 binary64)))) (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 3 binary64))))))))))) (*.f64 (sqrt.f64 x) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (sqrt.f64 x))))) x)
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))))
(/.f64 (+.f64 (*.f64 #s(literal -1/4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) (pow.f64 x #s(literal 2 binary64)))
(/.f64 (+.f64 (*.f64 #s(literal -1/4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (+.f64 (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (+.f64 (*.f64 #s(literal 3/16 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))))) (pow.f64 x #s(literal 2 binary64)))
(/.f64 (+.f64 (*.f64 #s(literal -1/4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (+.f64 (*.f64 #s(literal -5/32 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64))))) (+.f64 (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (+.f64 (*.f64 #s(literal 1/16 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))))) (+.f64 (*.f64 #s(literal 3/16 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))))))) (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))))
(/.f64 (+.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) (pow.f64 x #s(literal 2 binary64)))
(/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 (sqrt.f64 x) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))) (*.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (pow.f64 x #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))) x)) (*.f64 #s(literal -1/4 binary64) (*.f64 (sqrt.f64 x) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))) x)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) (pow.f64 x #s(literal 2 binary64)))
(/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 (sqrt.f64 x) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))) (*.f64 #s(literal 1/16 binary64) (*.f64 (sqrt.f64 (pow.f64 x #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64)))))) x)) (+.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 (sqrt.f64 x) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))) (*.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (pow.f64 x #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))))) x)) (*.f64 #s(literal -1/4 binary64) (*.f64 (sqrt.f64 x) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))) x)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) (pow.f64 x #s(literal 2 binary64)))
#s(literal 1 binary64)
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x))
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/8 binary64) x))))
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(*.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/8 binary64) x)) x)) #s(literal 2 binary64)) (cbrt.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/8 binary64) x)) x)))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/8 binary64) x)) x)) #s(literal 2 binary64)) (neg.f64 (cbrt.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/8 binary64) x)) x))))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/8 binary64) x))) #s(literal 2 binary64)) (/.f64 (cbrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/8 binary64) x))) x))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/8 binary64) x))) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/8 binary64) x))) (/.f64 #s(literal 1 binary64) x)))
(*.f64 (sqrt.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/8 binary64) x)) x)) (sqrt.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/8 binary64) x)) x)))
(*.f64 (sqrt.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/8 binary64) x)) x)) (neg.f64 (sqrt.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/8 binary64) x)) x))))
(*.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/8 binary64) x))) (/.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/8 binary64) x))) x))
(*.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/8 binary64) x))) (*.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/8 binary64) x))) (/.f64 #s(literal 1 binary64) x)))
(*.f64 (+.f64 (/.f64 #s(literal 1/8 binary64) x) #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) x))
(*.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/8 binary64) x)))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/8 binary64) x)) (sqrt.f64 x)))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/8 binary64) x)) (cbrt.f64 x)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/8 binary64) x))) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (cbrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/8 binary64) x))) x))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/8 binary64) x))) #s(literal 2 binary64)) (sqrt.f64 x)) (/.f64 (cbrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/8 binary64) x))) (sqrt.f64 x)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/8 binary64) x))) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/8 binary64) x)) x)))
(*.f64 (/.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/8 binary64) x))) #s(literal 1 binary64)) (/.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/8 binary64) x))) x))
(*.f64 (/.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/8 binary64) x))) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (/.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/8 binary64) x))) (cbrt.f64 x)))
(*.f64 (neg.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/8 binary64) x)) x)) #s(literal 2 binary64))) (cbrt.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/8 binary64) x)) x)))
(*.f64 (neg.f64 (sqrt.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/8 binary64) x)) x))) (sqrt.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/8 binary64) x)) x)))
(*.f64 (*.f64 #s(literal -1 binary64) (pow.f64 (cbrt.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/8 binary64) x)) x)) #s(literal 2 binary64))) (cbrt.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/8 binary64) x)) x)))
(*.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/8 binary64) x)) x))) (sqrt.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/8 binary64) x)) x)))
(pow.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/8 binary64) x)) x) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/8 binary64) x)) x)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/8 binary64) x)) x) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/8 binary64) x)) x)) #s(literal 2 binary64))
(pow.f64 (/.f64 x (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/8 binary64) x))) #s(literal -1 binary64))
(neg.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/8 binary64) x)) x))
(sqrt.f64 (pow.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/8 binary64) x)) x) #s(literal 2 binary64)))
(log.f64 (exp.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/8 binary64) x)) x)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/8 binary64) x)) x))))
(log.f64 (/.f64 #s(literal 1 binary64) (exp.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/8 binary64) x)) x))))
(cbrt.f64 (pow.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/8 binary64) x)) x) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/8 binary64) x)) x)))
(log1p.f64 (expm1.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/8 binary64) x)) x)))
(exp.f64 (log.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/8 binary64) x)) x)))
(exp.f64 (*.f64 (log.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/8 binary64) x)) x)) #s(literal 1 binary64)))
(+.f64 x (*.f64 x (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/8 binary64) x)) x)))
(+.f64 x (*.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/8 binary64) x)) x) x))
(-.f64 #s(literal 0 binary64) (*.f64 x (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/8 binary64) x)) x))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/8 binary64) x)) x))))) #s(literal 1 binary64))
(/.f64 (*.f64 x (-.f64 #s(literal -1 binary64) (pow.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/8 binary64) x)) x) #s(literal 3 binary64)))) (+.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/8 binary64) x)) x) #s(literal 2 binary64))) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/8 binary64) x)) x)))
(/.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/8 binary64) x)) x) #s(literal 2 binary64)))) (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/8 binary64) x)) x)))
(/.f64 (*.f64 (-.f64 #s(literal -1 binary64) (pow.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/8 binary64) x)) x) #s(literal 3 binary64))) x) (+.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/8 binary64) x)) x) #s(literal 2 binary64))) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/8 binary64) x)) x)))
(/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/8 binary64) x)) x) #s(literal 2 binary64))) x) (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/8 binary64) x)) x)))
(pow.f64 (*.f64 x (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/8 binary64) x)) x))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 x (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/8 binary64) x)) x)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 x (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/8 binary64) x)) x))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 x (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/8 binary64) x)) x)))) #s(literal 2 binary64))
(neg.f64 (*.f64 x (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/8 binary64) x)) x))))
(sqrt.f64 (pow.f64 (*.f64 x (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/8 binary64) x)) x))) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 x) (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/8 binary64) x)) x))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/8 binary64) x)) x))))))
(cbrt.f64 (pow.f64 (*.f64 x (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/8 binary64) x)) x))) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/8 binary64) x)) x)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/8 binary64) x)) x)) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 x (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/8 binary64) x)) x)))))
(log1p.f64 (expm1.f64 (*.f64 x (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/8 binary64) x)) x)))))
(exp.f64 (log.f64 (*.f64 x (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/8 binary64) x)) x)))))
(exp.f64 (*.f64 (log.f64 (*.f64 x (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/8 binary64) x)) x)))) #s(literal 1 binary64)))
Outputs
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (sqrt.f64 x)))
(+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x (pow.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (sqrt.f64 x))))
(fma.f64 #s(literal -1/2 binary64) (/.f64 x (pow.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (sqrt.f64 x))))
(+.f64 (*.f64 x (-.f64 (*.f64 x (+.f64 (*.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 2 binary64)))) (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 3 binary64)))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 2 binary64)))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (sqrt.f64 x))))
(fma.f64 x (fma.f64 x (+.f64 (/.f64 #s(literal 1/8 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 2 binary64))) (/.f64 #s(literal 1/4 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 3 binary64)))) (neg.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 2 binary64))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (sqrt.f64 x))))
(fma.f64 x (fma.f64 x (+.f64 (/.f64 #s(literal 1/8 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 2 binary64))) (/.f64 #s(literal 1/4 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 3 binary64)))) (/.f64 #s(literal -1/2 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (sqrt.f64 x))))
(+.f64 (*.f64 x (-.f64 (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 2 binary64)))) (+.f64 (*.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 3 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (*.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 2 binary64)))) (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 3 binary64))))) (+.f64 #s(literal 1 binary64) (sqrt.f64 x)))))))) (+.f64 (*.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 2 binary64)))) (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 3 binary64))))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 2 binary64)))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (sqrt.f64 x))))
(fma.f64 x (-.f64 (*.f64 x (fma.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (/.f64 #s(literal 1/16 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 2 binary64))) (fma.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/8 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 2 binary64))) (/.f64 #s(literal 1/4 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 3 binary64)))) (+.f64 #s(literal 1 binary64) (sqrt.f64 x))) (/.f64 #s(literal 1/16 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 3 binary64)))))) (+.f64 (/.f64 #s(literal 1/8 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 2 binary64))) (/.f64 #s(literal 1/4 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 3 binary64)))))) (/.f64 #s(literal 1/2 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (sqrt.f64 x))))
(fma.f64 x (fma.f64 x (+.f64 (/.f64 #s(literal 1/4 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 3 binary64))) (fma.f64 (neg.f64 x) (+.f64 (/.f64 #s(literal 1/16 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 2 binary64))) (fma.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/8 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 2 binary64))) (/.f64 #s(literal 1/4 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 3 binary64)))) (+.f64 #s(literal 1 binary64) (sqrt.f64 x))) (/.f64 #s(literal 1/16 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 3 binary64))))) (/.f64 #s(literal 1/8 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 2 binary64))))) (/.f64 #s(literal -1/2 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (sqrt.f64 x))))
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
(/.f64 (+.f64 (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) x)
(/.f64 (fma.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 (sqrt.f64 x) #s(literal 1/2 binary64))) x)
(/.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1/8 binary64) (*.f64 (sqrt.f64 x) #s(literal 1/2 binary64))) x)
(/.f64 (-.f64 (+.f64 (*.f64 #s(literal 1/16 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) (*.f64 #s(literal 1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) x)
(/.f64 (fma.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (fma.f64 #s(literal 1/16 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (*.f64 (sqrt.f64 x) #s(literal 1/2 binary64)))) x)
(/.f64 (fma.f64 #s(literal 1/16 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1/8 binary64) (*.f64 (sqrt.f64 x) #s(literal 1/2 binary64)))) x)
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#s(literal 1 binary64)
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(sqrt.f64 x)
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(sqrt.f64 (pow.f64 (*.f64 x (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/8 binary64) x)) x))) #s(literal 2 binary64)))
(fabs.f64 (fma.f64 x #s(literal -1 binary64) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/8 binary64) x))))
(log.f64 (pow.f64 (exp.f64 x) (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/8 binary64) x)) x))))
(*.f64 x (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/8 binary64) x)) x)))
(fma.f64 x #s(literal -1 binary64) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/8 binary64) x)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/8 binary64) x)) x))))))
(*.f64 x (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/8 binary64) x)) x)))
(fma.f64 x #s(literal -1 binary64) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/8 binary64) x)))
(cbrt.f64 (pow.f64 (*.f64 x (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/8 binary64) x)) x))) #s(literal 3 binary64)))
(*.f64 x (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/8 binary64) x)) x)))
(fma.f64 x #s(literal -1 binary64) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/8 binary64) x)))
(cbrt.f64 (*.f64 (pow.f64 (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/8 binary64) x)) x)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))
(*.f64 x (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/8 binary64) x)) x)))
(fma.f64 x #s(literal -1 binary64) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/8 binary64) x)))
(cbrt.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/8 binary64) x)) x)) #s(literal 3 binary64))))
(*.f64 x (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/8 binary64) x)) x)))
(fma.f64 x #s(literal -1 binary64) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/8 binary64) x)))
(expm1.f64 (log1p.f64 (*.f64 x (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/8 binary64) x)) x)))))
(expm1.f64 (log1p.f64 (fma.f64 x #s(literal -1 binary64) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/8 binary64) x)))))
(log1p.f64 (expm1.f64 (*.f64 x (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/8 binary64) x)) x)))))
(*.f64 x (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/8 binary64) x)) x)))
(fma.f64 x #s(literal -1 binary64) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/8 binary64) x)))
(exp.f64 (log.f64 (*.f64 x (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/8 binary64) x)) x)))))
(*.f64 x (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/8 binary64) x)) x)))
(fma.f64 x #s(literal -1 binary64) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/8 binary64) x)))
(exp.f64 (*.f64 (log.f64 (*.f64 x (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/8 binary64) x)) x)))) #s(literal 1 binary64)))
(*.f64 x (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/8 binary64) x)) x)))
(fma.f64 x #s(literal -1 binary64) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/8 binary64) x)))

eval274.0ms (2.7%)

Compiler

Compiled 22920 to 15425 computations (32.7% saved)

prune135.0ms (1.3%)

Pruning

26 alts after pruning (23 fresh and 3 done)

PrunedKeptTotal
New90416920
Fresh11718
Picked415
Done123
Total92026946
Accuracy
100.0%
Counts
946 → 26
Alt Table
Click to see full alt table
StatusAccuracyProgram
5.5%
(pow.f64 x #s(literal -1/2 binary64))
99.0%
(/.f64 (/.f64 (+.f64 (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) x) (*.f64 (-.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/8 binary64) x)) x)) (neg.f64 x)))
98.4%
(/.f64 (/.f64 (+.f64 (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) x) x)
99.6%
(/.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 (sqrt.f64 x) x)) (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))))
98.4%
(/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 x) (hypot.f64 #s(literal 1 binary64) (sqrt.f64 x)))) x)
80.8%
(/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 #s(literal 1 binary64) x)))) (sqrt.f64 (*.f64 x (+.f64 #s(literal 1 binary64) x))))
99.3%
(/.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (*.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 #s(literal 1 binary64) x)))))
34.8%
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x))) (+.f64 (pow.f64 x #s(literal -1/2 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64))))
34.5%
(/.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)) (/.f64 (-.f64 (*.f64 x (+.f64 #s(literal 1/2 binary64) x)) #s(literal 1/8 binary64)) x))
34.3%
(/.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)) (+.f64 x #s(literal 1/2 binary64)))
34.8%
(/.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)) (sqrt.f64 (*.f64 x (+.f64 #s(literal 1 binary64) x))))
98.5%
(/.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (*.f64 (-.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/8 binary64) x)) x)) (neg.f64 x)))
98.4%
(/.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) x)
79.6%
(/.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 x))) (pow.f64 x #s(literal 2 binary64)))
5.5%
(/.f64 (sqrt.f64 x) x)
5.5%
(/.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 x)))
97.2%
(/.f64 #s(literal 1 binary64) (*.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (hypot.f64 (sqrt.f64 x) x)))
5.5%
(/.f64 #s(literal 1 binary64) (sqrt.f64 x))
34.8%
(-.f64 (pow.f64 x #s(literal -1/2 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)))
27.4%
(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)))
99.4%
(*.f64 (pow.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) #s(literal -1/2 binary64)) (/.f64 (pow.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) #s(literal -1/2 binary64)) (hypot.f64 (sqrt.f64 x) x)))
99.1%
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 #s(literal 1 binary64) x)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))))
79.6%
(*.f64 (/.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64))) (-.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)))
5.5%
(*.f64 (sqrt.f64 x) (/.f64 #s(literal 1 binary64) x))
61.6%
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))))
5.5%
(sqrt.f64 (/.f64 #s(literal 1 binary64) x))
Compiler

Compiled 676 to 506 computations (25.1% saved)

localize303.0ms (3%)

Localize:

Found 15 expressions with local error:

NewAccuracyProgram
100.0%
(-.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 x))
99.8%
(sqrt.f64 (/.f64 #s(literal 1 binary64) x))
98.8%
(/.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)))
82.1%
(*.f64 (/.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64))) (-.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)))
100.0%
(+.f64 (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))
99.8%
(sqrt.f64 (/.f64 #s(literal 1 binary64) x))
99.8%
(/.f64 (/.f64 (+.f64 (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) x) x)
99.5%
(/.f64 (+.f64 (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) x)
100.0%
(*.f64 (-.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/8 binary64) x)) x)) (neg.f64 x))
100.0%
(/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/8 binary64) x)) x)
99.8%
(sqrt.f64 (/.f64 #s(literal 1 binary64) x))
99.8%
(/.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (*.f64 (-.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/8 binary64) x)) x)) (neg.f64 x)))
99.6%
(/.f64 #s(literal 1 binary64) (sqrt.f64 x))
100.0%
(/.f64 #s(literal 1 binary64) (hypot.f64 (sqrt.f64 x) x))
99.6%
(/.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 (sqrt.f64 x) x)) (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))))
Results
219.0ms256×256valid
Compiler

Compiled 230 to 150 computations (34.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 175.0ms
ival-div: 62.0ms (35.5% of total)
ival-sqrt: 33.0ms (18.9% of total)
ival-mult: 26.0ms (14.9% of total)
ival-add: 24.0ms (13.7% of total)
<compiled-spec>: 8.0ms (4.6% of total)
ival-pow: 8.0ms (4.6% of total)
const: 7.0ms (4% of total)
ival-sub: 6.0ms (3.4% of total)
ival-neg: 1.0ms (0.6% of total)

series30.0ms (0.3%)

Counts
9 → 96
Calls
Call 1
Inputs
#<alt (/.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 (sqrt.f64 x) x)) (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))))>
#<alt (/.f64 #s(literal 1 binary64) (hypot.f64 (sqrt.f64 x) x))>
#<alt (/.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (*.f64 (-.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/8 binary64) x)) x)) (neg.f64 x)))>
#<alt (/.f64 (+.f64 (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) x)>
#<alt (/.f64 (/.f64 (+.f64 (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) x) x)>
#<alt (+.f64 (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))>
#<alt (*.f64 (/.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64))) (-.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)))>
#<alt (/.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (-.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 x))>
Outputs
#<alt (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (sqrt.f64 x))))>
#<alt (/.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 (pow.f64 x #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 2 binary64))))) (*.f64 (sqrt.f64 x) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (sqrt.f64 x))))) x)>
#<alt (/.f64 (+.f64 (*.f64 x (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 x) (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 2 binary64))))) (*.f64 x (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (sqrt.f64 x))))) (*.f64 (sqrt.f64 x) (+.f64 (*.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 2 binary64)))) (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 3 binary64)))))))))) (*.f64 (sqrt.f64 x) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (sqrt.f64 x))))) x)>
#<alt (/.f64 (+.f64 (*.f64 x (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 x) (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 2 binary64))))) (*.f64 x (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (sqrt.f64 x))))) (+.f64 (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 x) (+.f64 (*.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 2 binary64)))) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (*.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 2 binary64)))) (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 3 binary64))))) (+.f64 #s(literal 1 binary64) (sqrt.f64 x)))) (*.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 3 binary64)))))))) (+.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 2 binary64))))) (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (sqrt.f64 x)))))))) (*.f64 (sqrt.f64 x) (+.f64 (*.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 2 binary64)))) (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 3 binary64))))))))))) (*.f64 (sqrt.f64 x) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (sqrt.f64 x))))) x)>
#<alt (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))))>
#<alt (/.f64 (+.f64 (*.f64 #s(literal -1/4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) (pow.f64 x #s(literal 2 binary64)))>
#<alt (/.f64 (+.f64 (*.f64 #s(literal -1/4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (+.f64 (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (+.f64 (*.f64 #s(literal 3/16 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))))) (pow.f64 x #s(literal 2 binary64)))>
#<alt (/.f64 (+.f64 (*.f64 #s(literal -1/4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (+.f64 (*.f64 #s(literal -5/32 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64))))) (+.f64 (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (+.f64 (*.f64 #s(literal 1/16 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))))) (+.f64 (*.f64 #s(literal 3/16 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))))))) (pow.f64 x #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))))>
#<alt (/.f64 (+.f64 (*.f64 #s(literal 1/4 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 1/2 binary64) (sqrt.f64 x))) (pow.f64 x #s(literal 2 binary64)))>
#<alt (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 (sqrt.f64 x) (+.f64 (*.f64 #s(literal -1 binary64) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64))) (*.f64 #s(literal 1/4 binary64) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64)))))) (*.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (pow.f64 x #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))) x)) (*.f64 #s(literal -1/4 binary64) (*.f64 (sqrt.f64 x) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))) x)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) (pow.f64 x #s(literal 2 binary64)))>
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#<alt (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))))>
#<alt (/.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) x)>
#<alt (/.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) x)>
#<alt (/.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) x)>
#<alt (*.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (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) (/.f64 (+.f64 (*.f64 #s(literal 1/2 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 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))) x))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal 1/2 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 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))) x))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal 1/2 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 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))) x))>
#<alt (sqrt.f64 (/.f64 #s(literal 1 binary64) x))>
#<alt (/.f64 (+.f64 (sqrt.f64 x) (*.f64 #s(literal -1 binary64) (sqrt.f64 (pow.f64 x #s(literal 3 binary64))))) x)>
#<alt (/.f64 (+.f64 (sqrt.f64 x) (*.f64 #s(literal -1 binary64) (sqrt.f64 (pow.f64 x #s(literal 3 binary64))))) x)>
#<alt (/.f64 (+.f64 (sqrt.f64 x) (*.f64 #s(literal -1 binary64) (sqrt.f64 (pow.f64 x #s(literal 3 binary64))))) x)>
#<alt (*.f64 #s(literal -1 binary64) (sqrt.f64 x))>
#<alt (*.f64 x (-.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))>
#<alt (*.f64 x (-.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))>
#<alt (*.f64 x (-.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))>
#<alt (*.f64 (sqrt.f64 x) (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) (pow.f64 x #s(literal 3 binary64)))) (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))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (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))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (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))))))>
Calls

27 calls:

TimeVariablePointExpression
1.0ms
x
@-inf
(/ (/ 1 (sqrt (+ (* (sqrt x) (sqrt x)) (* x x)))) (+ (sqrt x) (sqrt (+ 1 x))))
1.0ms
x
@-inf
(/ (* 1/2 (sqrt (/ 1 x))) (* (- -1 (/ (+ 1/2 (/ -1/8 x)) x)) (neg x)))
1.0ms
x
@-inf
(/ (+ (* -1/8 (sqrt (/ 1 x))) (* 1/2 (sqrt x))) x)
1.0ms
x
@0
(/ (/ 1 (sqrt (+ (* (sqrt x) (sqrt x)) (* x x)))) (+ (sqrt x) (sqrt (+ 1 x))))
1.0ms
x
@-inf
(* (/ -1/2 (pow x 2)) (- (sqrt (/ 1 x)) (sqrt x)))

rewrite113.0ms (1.1%)

Algorithm
batch-egg-rewrite
Rules
311×log1p-expm1-u
311×expm1-log1p-u
304×add-cube-cbrt
303×add-exp-log
302×add-log-exp
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
038367
1684339
Stop Event
node limit
Counts
9 → 264
Calls
Call 1
Inputs
(/.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 (sqrt.f64 x) x)) (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))))
(/.f64 #s(literal 1 binary64) (hypot.f64 (sqrt.f64 x) x))
(/.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (*.f64 (-.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/8 binary64) x)) x)) (neg.f64 x)))
(/.f64 (+.f64 (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) x)
(/.f64 (/.f64 (+.f64 (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) x) x)
(+.f64 (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))
(*.f64 (/.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64))) (-.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)))
(/.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)))
(-.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 x))
Outputs
(-.f64 (exp.f64 (log1p.f64 (/.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 (sqrt.f64 x) x)) (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 #s(literal 1 binary64) x)))))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 (sqrt.f64 x) x)) (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 #s(literal 1 binary64) x)))))
(*.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 (sqrt.f64 x) x)) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 #s(literal 1 binary64) x)))))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 (*.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (hypot.f64 (sqrt.f64 x) x)))) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (cbrt.f64 (*.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (hypot.f64 (sqrt.f64 x) x)))))
(*.f64 (/.f64 (pow.f64 (hypot.f64 (sqrt.f64 x) x) #s(literal -1/2 binary64)) (sqrt.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))))) (/.f64 (pow.f64 (hypot.f64 (sqrt.f64 x) x) #s(literal -1/2 binary64)) (sqrt.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))))))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 #s(literal 1 binary64) x)))) #s(literal 2 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 (sqrt.f64 x) x)) (cbrt.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))))))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))))) (/.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 (sqrt.f64 x) x)) (sqrt.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))))))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (hypot.f64 (sqrt.f64 x) x) #s(literal -2 binary64))) #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 (hypot.f64 (sqrt.f64 x) x))) (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 #s(literal 1 binary64) x)))))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (hypot.f64 (sqrt.f64 x) x) #s(literal -2 binary64))) (pow.f64 (cbrt.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 #s(literal 1 binary64) x)))) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (cbrt.f64 (*.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (hypot.f64 (sqrt.f64 x) x)))))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (hypot.f64 (sqrt.f64 x) x) #s(literal -2 binary64))) (sqrt.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))))) (/.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 (hypot.f64 (sqrt.f64 x) x))) (sqrt.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))))))
(*.f64 (/.f64 (pow.f64 (hypot.f64 (sqrt.f64 x) x) #s(literal -1/2 binary64)) #s(literal 1 binary64)) (/.f64 (pow.f64 (hypot.f64 (sqrt.f64 x) x) #s(literal -1/2 binary64)) (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 #s(literal 1 binary64) x)))))
(*.f64 (/.f64 (pow.f64 (hypot.f64 (sqrt.f64 x) x) #s(literal -1/2 binary64)) (pow.f64 (cbrt.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 #s(literal 1 binary64) x)))) #s(literal 2 binary64))) (/.f64 (pow.f64 (hypot.f64 (sqrt.f64 x) x) #s(literal -1/2 binary64)) (cbrt.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))))))
(pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 (sqrt.f64 x) x)) (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 #s(literal 1 binary64) x)))) #s(literal 1 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 (*.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (hypot.f64 (sqrt.f64 x) x)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 (sqrt.f64 x) x)) (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 #s(literal 1 binary64) x)))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (/.f64 (pow.f64 (hypot.f64 (sqrt.f64 x) x) #s(literal -1/2 binary64)) (sqrt.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))))) #s(literal 2 binary64))
(pow.f64 (/.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (/.f64 #s(literal 1 binary64) (hypot.f64 (sqrt.f64 x) x))) #s(literal -1 binary64))
(pow.f64 (*.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (hypot.f64 (sqrt.f64 x) x)) #s(literal -1 binary64))
(sqrt.f64 (/.f64 (pow.f64 (hypot.f64 (sqrt.f64 x) x) #s(literal -2 binary64)) (pow.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64))))
(log.f64 (exp.f64 (/.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 (sqrt.f64 x) x)) (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 (sqrt.f64 x) x)) (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 #s(literal 1 binary64) x)))))))
(cbrt.f64 (pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 (sqrt.f64 x) x)) (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 #s(literal 1 binary64) x)))) #s(literal 3 binary64)))
(cbrt.f64 (/.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 (sqrt.f64 x) x)) #s(literal 3 binary64)) (pow.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (/.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 (sqrt.f64 x) x)) (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))))))
(log1p.f64 (expm1.f64 (/.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 (sqrt.f64 x) x)) (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))))))
(exp.f64 (neg.f64 (log.f64 (*.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (hypot.f64 (sqrt.f64 x) x)))))
(exp.f64 (*.f64 (neg.f64 (log.f64 (*.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (hypot.f64 (sqrt.f64 x) x)))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 (sqrt.f64 x) x)))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 (sqrt.f64 x) x)))
(*.f64 (cbrt.f64 (pow.f64 (hypot.f64 (sqrt.f64 x) x) #s(literal -2 binary64))) (/.f64 #s(literal 1 binary64) (cbrt.f64 (hypot.f64 (sqrt.f64 x) x))))
(*.f64 (pow.f64 (hypot.f64 (sqrt.f64 x) x) #s(literal -1/2 binary64)) (pow.f64 (hypot.f64 (sqrt.f64 x) x) #s(literal -1/2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 x (pow.f64 x #s(literal 2 binary64)))) #s(literal -1 binary64)) (pow.f64 (cbrt.f64 (hypot.f64 (sqrt.f64 x) x)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (hypot.f64 (sqrt.f64 x) x)) #s(literal -1 binary64)) (pow.f64 (sqrt.f64 (hypot.f64 (sqrt.f64 x) x)) #s(literal -1 binary64)))
(pow.f64 (hypot.f64 (sqrt.f64 x) x) #s(literal -1 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 (sqrt.f64 x) x)) #s(literal 1 binary64))
(pow.f64 (+.f64 x (pow.f64 x #s(literal 2 binary64))) #s(literal -1/2 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 (hypot.f64 (sqrt.f64 x) x))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 (sqrt.f64 x) x)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (pow.f64 (hypot.f64 (sqrt.f64 x) x) #s(literal -1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (/.f64 (hypot.f64 (sqrt.f64 x) x) #s(literal 1 binary64)) #s(literal -1 binary64))
(sqrt.f64 (pow.f64 (hypot.f64 (sqrt.f64 x) x) #s(literal -2 binary64)))
(log.f64 (exp.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 (sqrt.f64 x) x))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 (sqrt.f64 x) x)))))
(cbrt.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 (sqrt.f64 x) x)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 (sqrt.f64 x) x))))
(log1p.f64 (expm1.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 (sqrt.f64 x) x))))
(exp.f64 (neg.f64 (log.f64 (hypot.f64 (sqrt.f64 x) x))))
(exp.f64 (*.f64 (log.f64 (hypot.f64 (sqrt.f64 x) x)) #s(literal -1 binary64)))
(exp.f64 (*.f64 (neg.f64 (log.f64 (hypot.f64 (sqrt.f64 x) x))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal -1/2 binary64)) (*.f64 x (-.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/8 binary64) x)) x))))))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal -1/2 binary64)) (*.f64 x (-.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/8 binary64) x)) x))))))
(*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal -1/2 binary64)) (*.f64 x (-.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/8 binary64) x)) x)))))
(*.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal -1/2 binary64)) (-.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/8 binary64) x)) x)))))
(*.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal -1/2 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 x (-.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/8 binary64) x)) x)))))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal -1/2 binary64)) (*.f64 x (-.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/8 binary64) x)) x)))))) #s(literal 2 binary64)) (cbrt.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal -1/2 binary64)) (*.f64 x (-.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/8 binary64) x)) x)))))))
(*.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal -1/2 binary64)) (*.f64 x (-.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/8 binary64) x)) x)))))) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal -1/2 binary64)) (*.f64 x (-.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/8 binary64) x)) x)))))))
(*.f64 (/.f64 #s(literal 1/2 binary64) (-.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/8 binary64) x)) x))) (/.f64 (pow.f64 x #s(literal -1/2 binary64)) x))
(*.f64 (/.f64 (pow.f64 x #s(literal -1/2 binary64)) x) (/.f64 #s(literal 1/2 binary64) (-.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/8 binary64) x)) x))))
(*.f64 (/.f64 (pow.f64 x #s(literal -1/2 binary64)) (-.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/8 binary64) x)) x))) (/.f64 #s(literal 1/2 binary64) x))
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(/.f64 (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3/2 binary64))) (pow.f64 x #s(literal 3/2 binary64))) #s(literal -1/2 binary64)) (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 x (*.f64 (pow.f64 x #s(literal -1/2 binary64)) (sqrt.f64 x)))) (pow.f64 x #s(literal 2 binary64))))
(/.f64 (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) x) #s(literal 1 binary64)) (*.f64 (+.f64 (pow.f64 x #s(literal -1/2 binary64)) (sqrt.f64 x)) (/.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/2 binary64))))
(/.f64 (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) x) #s(literal 1/2 binary64)) (*.f64 (+.f64 (pow.f64 x #s(literal -1/2 binary64)) (sqrt.f64 x)) (neg.f64 (pow.f64 x #s(literal 2 binary64)))))
(/.f64 (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) x) #s(literal -1/2 binary64)) (*.f64 (+.f64 (pow.f64 x #s(literal -1/2 binary64)) (sqrt.f64 x)) (pow.f64 x #s(literal 2 binary64))))
(/.f64 (neg.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (pow.f64 x #s(literal -1/2 binary64)) (sqrt.f64 x)))) (neg.f64 (pow.f64 x #s(literal 2 binary64))))
(pow.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal -2 binary64))) (-.f64 (pow.f64 x #s(literal -1/2 binary64)) (sqrt.f64 x))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal -2 binary64))) (-.f64 (pow.f64 x #s(literal -1/2 binary64)) (sqrt.f64 x)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal -2 binary64))) (-.f64 (pow.f64 x #s(literal -1/2 binary64)) (sqrt.f64 x))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (/.f64 (sqrt.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (pow.f64 x #s(literal -1/2 binary64)) (sqrt.f64 x)))) x) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal -2 binary64))) (-.f64 (pow.f64 x #s(literal -1/2 binary64)) (sqrt.f64 x))) #s(literal 2 binary64)))
(log.f64 (pow.f64 (pow.f64 (exp.f64 #s(literal -1/2 binary64)) (pow.f64 x #s(literal -2 binary64))) (-.f64 (pow.f64 x #s(literal -1/2 binary64)) (sqrt.f64 x))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal -2 binary64))) (-.f64 (pow.f64 x #s(literal -1/2 binary64)) (sqrt.f64 x))))))
(cbrt.f64 (pow.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal -2 binary64))) (-.f64 (pow.f64 x #s(literal -1/2 binary64)) (sqrt.f64 x))) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal -2 binary64))) #s(literal 3 binary64)) (pow.f64 (-.f64 (pow.f64 x #s(literal -1/2 binary64)) (sqrt.f64 x)) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (-.f64 (pow.f64 x #s(literal -1/2 binary64)) (sqrt.f64 x)) #s(literal 3 binary64)) (pow.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal -2 binary64))) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal -2 binary64))) (-.f64 (pow.f64 x #s(literal -1/2 binary64)) (sqrt.f64 x)))))
(log1p.f64 (expm1.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal -2 binary64))) (-.f64 (pow.f64 x #s(literal -1/2 binary64)) (sqrt.f64 x)))))
(exp.f64 (log.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal -2 binary64))) (-.f64 (pow.f64 x #s(literal -1/2 binary64)) (sqrt.f64 x)))))
(exp.f64 (*.f64 (log.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal -2 binary64))) (-.f64 (pow.f64 x #s(literal -1/2 binary64)) (sqrt.f64 x)))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal -2 binary64))))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal -2 binary64))))
(*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal -2 binary64)))
(*.f64 (cbrt.f64 (/.f64 #s(literal 1/4 binary64) (pow.f64 x #s(literal 4 binary64)))) (cbrt.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal -2 binary64)))))
(*.f64 (/.f64 (sqrt.f64 #s(literal -1/2 binary64)) x) (/.f64 (sqrt.f64 #s(literal -1/2 binary64)) x))
(pow.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal -2 binary64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal -2 binary64)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal -2 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (/.f64 (sqrt.f64 #s(literal -1/2 binary64)) x) #s(literal 2 binary64))
(pow.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/2 binary64)) #s(literal -1 binary64))
(sqrt.f64 (/.f64 #s(literal 1/4 binary64) (pow.f64 x #s(literal 4 binary64))))
(log.f64 (pow.f64 (exp.f64 #s(literal -1/2 binary64)) (pow.f64 x #s(literal -2 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal -2 binary64))))))
(cbrt.f64 (pow.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal -2 binary64))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal -2 binary64)))))
(log1p.f64 (expm1.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal -2 binary64)))))
(exp.f64 (log.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal -2 binary64)))))
(exp.f64 (*.f64 (log.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal -2 binary64)))) #s(literal 1 binary64)))
(+.f64 (pow.f64 x #s(literal -1/2 binary64)) (neg.f64 (sqrt.f64 x)))
(+.f64 (-.f64 (pow.f64 x #s(literal -1/2 binary64)) (sqrt.f64 x)) (fma.f64 (neg.f64 (pow.f64 x #s(literal 1/4 binary64))) (pow.f64 x #s(literal 1/4 binary64)) (sqrt.f64 x)))
(+.f64 (fma.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -1/2 binary64)) (neg.f64 (*.f64 (sqrt.f64 x) #s(literal 1 binary64)))) (fma.f64 (neg.f64 (sqrt.f64 x)) #s(literal 1 binary64) (*.f64 (sqrt.f64 x) #s(literal 1 binary64))))
(+.f64 (fma.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -1/2 binary64)) (neg.f64 (*.f64 (cbrt.f64 (sqrt.f64 x)) (cbrt.f64 x)))) (fma.f64 (neg.f64 (cbrt.f64 (sqrt.f64 x))) (cbrt.f64 x) (*.f64 (cbrt.f64 (sqrt.f64 x)) (cbrt.f64 x))))
(+.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 x)) (cbrt.f64 (pow.f64 x #s(literal -1/2 binary64))) (neg.f64 (*.f64 (sqrt.f64 x) #s(literal 1 binary64)))) (fma.f64 (neg.f64 (sqrt.f64 x)) #s(literal 1 binary64) (*.f64 (sqrt.f64 x) #s(literal 1 binary64))))
(+.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 x)) (cbrt.f64 (pow.f64 x #s(literal -1/2 binary64))) (neg.f64 (*.f64 (cbrt.f64 (sqrt.f64 x)) (cbrt.f64 x)))) (fma.f64 (neg.f64 (cbrt.f64 (sqrt.f64 x))) (cbrt.f64 x) (*.f64 (cbrt.f64 (sqrt.f64 x)) (cbrt.f64 x))))
(+.f64 (fma.f64 (sqrt.f64 (pow.f64 x #s(literal -1/2 binary64))) (sqrt.f64 (pow.f64 x #s(literal -1/2 binary64))) (neg.f64 (*.f64 (sqrt.f64 x) #s(literal 1 binary64)))) (fma.f64 (neg.f64 (sqrt.f64 x)) #s(literal 1 binary64) (*.f64 (sqrt.f64 x) #s(literal 1 binary64))))
(+.f64 (fma.f64 (sqrt.f64 (pow.f64 x #s(literal -1/2 binary64))) (sqrt.f64 (pow.f64 x #s(literal -1/2 binary64))) (neg.f64 (*.f64 (cbrt.f64 (sqrt.f64 x)) (cbrt.f64 x)))) (fma.f64 (neg.f64 (cbrt.f64 (sqrt.f64 x))) (cbrt.f64 x) (*.f64 (cbrt.f64 (sqrt.f64 x)) (cbrt.f64 x))))
(*.f64 #s(literal 1 binary64) (-.f64 (pow.f64 x #s(literal -1/2 binary64)) (sqrt.f64 x)))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 (pow.f64 x #s(literal -1/2 binary64)) (sqrt.f64 x))) #s(literal 2 binary64)) (cbrt.f64 (-.f64 (pow.f64 x #s(literal -1/2 binary64)) (sqrt.f64 x))))
(*.f64 (sqrt.f64 (-.f64 (pow.f64 x #s(literal -1/2 binary64)) (sqrt.f64 x))) (sqrt.f64 (-.f64 (pow.f64 x #s(literal -1/2 binary64)) (sqrt.f64 x))))
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3/2 binary64))) (pow.f64 x #s(literal 3/2 binary64))) (+.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 x (*.f64 (pow.f64 x #s(literal -1/2 binary64)) (sqrt.f64 x)))))
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) x) (+.f64 (pow.f64 x #s(literal -1/2 binary64)) (sqrt.f64 x)))
(/.f64 (neg.f64 (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3/2 binary64))) (pow.f64 x #s(literal 3/2 binary64)))) (neg.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 x (*.f64 (pow.f64 x #s(literal -1/2 binary64)) (sqrt.f64 x))))))
(/.f64 (neg.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) x)) (neg.f64 (+.f64 (pow.f64 x #s(literal -1/2 binary64)) (sqrt.f64 x))))
(pow.f64 (-.f64 (pow.f64 x #s(literal -1/2 binary64)) (sqrt.f64 x)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (-.f64 (pow.f64 x #s(literal -1/2 binary64)) (sqrt.f64 x))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (-.f64 (pow.f64 x #s(literal -1/2 binary64)) (sqrt.f64 x)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (-.f64 (pow.f64 x #s(literal -1/2 binary64)) (sqrt.f64 x))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (-.f64 (pow.f64 x #s(literal -1/2 binary64)) (sqrt.f64 x)) #s(literal 2 binary64)))
(log.f64 (exp.f64 (-.f64 (pow.f64 x #s(literal -1/2 binary64)) (sqrt.f64 x))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (-.f64 (pow.f64 x #s(literal -1/2 binary64)) (sqrt.f64 x)))))
(cbrt.f64 (pow.f64 (-.f64 (pow.f64 x #s(literal -1/2 binary64)) (sqrt.f64 x)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (-.f64 (pow.f64 x #s(literal -1/2 binary64)) (sqrt.f64 x))))
(log1p.f64 (expm1.f64 (-.f64 (pow.f64 x #s(literal -1/2 binary64)) (sqrt.f64 x))))
(exp.f64 (log.f64 (-.f64 (pow.f64 x #s(literal -1/2 binary64)) (sqrt.f64 x))))
(exp.f64 (*.f64 (log.f64 (-.f64 (pow.f64 x #s(literal -1/2 binary64)) (sqrt.f64 x))) #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -1/2 binary64)) (neg.f64 (sqrt.f64 x)))
(fma.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 x)) (cbrt.f64 (pow.f64 x #s(literal -1/2 binary64))) (neg.f64 (sqrt.f64 x)))
(fma.f64 (sqrt.f64 (pow.f64 x #s(literal -1/2 binary64))) (sqrt.f64 (pow.f64 x #s(literal -1/2 binary64))) (neg.f64 (sqrt.f64 x)))

simplify246.0ms (2.4%)

Algorithm
egg-herbie
Rules
522×associate-*r*
454×associate-*l*
427×*-commutative
407×fma-define
276×associate-*r/
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
092520492
1233018999
Stop Event
node limit
Counts
360 → 500
Calls
Call 1
Inputs
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (sqrt.f64 x))))
(/.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 (pow.f64 x #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 2 binary64))))) (*.f64 (sqrt.f64 x) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (sqrt.f64 x))))) x)
(/.f64 (+.f64 (*.f64 x (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 x) (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 2 binary64))))) (*.f64 x (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (sqrt.f64 x))))) (*.f64 (sqrt.f64 x) (+.f64 (*.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 2 binary64)))) (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 3 binary64)))))))))) (*.f64 (sqrt.f64 x) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (sqrt.f64 x))))) x)
(/.f64 (+.f64 (*.f64 x (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 x) (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 2 binary64))))) (*.f64 x (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (sqrt.f64 x))))) (+.f64 (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 x) (+.f64 (*.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 2 binary64)))) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (*.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 2 binary64)))) (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 3 binary64))))) (+.f64 #s(literal 1 binary64) (sqrt.f64 x)))) (*.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 3 binary64)))))))) (+.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 2 binary64))))) (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (sqrt.f64 x)))))))) (*.f64 (sqrt.f64 x) (+.f64 (*.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 2 binary64)))) (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 3 binary64))))))))))) (*.f64 (sqrt.f64 x) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (sqrt.f64 x))))) x)
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))))
(/.f64 (+.f64 (*.f64 #s(literal -1/4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) (pow.f64 x #s(literal 2 binary64)))
(/.f64 (+.f64 (*.f64 #s(literal -1/4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (+.f64 (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (+.f64 (*.f64 #s(literal 3/16 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))))) (pow.f64 x #s(literal 2 binary64)))
(/.f64 (+.f64 (*.f64 #s(literal -1/4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (+.f64 (*.f64 #s(literal -5/32 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64))))) (+.f64 (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (+.f64 (*.f64 #s(literal 1/16 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))))) (+.f64 (*.f64 #s(literal 3/16 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))))))) (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))))
(/.f64 (+.f64 (*.f64 #s(literal 1/4 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 1/2 binary64) (sqrt.f64 x))) (pow.f64 x #s(literal 2 binary64)))
(/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 (sqrt.f64 x) (+.f64 (*.f64 #s(literal -1 binary64) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64))) (*.f64 #s(literal 1/4 binary64) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64)))))) (*.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (pow.f64 x #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))) x)) (*.f64 #s(literal -1/4 binary64) (*.f64 (sqrt.f64 x) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))) x)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) (pow.f64 x #s(literal 2 binary64)))
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(expm1.f64 (log1p.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal -2 binary64))) (-.f64 (pow.f64 x #s(literal -1/2 binary64)) (sqrt.f64 x)))))
(log1p.f64 (expm1.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal -2 binary64))) (-.f64 (pow.f64 x #s(literal -1/2 binary64)) (sqrt.f64 x)))))
(exp.f64 (log.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal -2 binary64))) (-.f64 (pow.f64 x #s(literal -1/2 binary64)) (sqrt.f64 x)))))
(exp.f64 (*.f64 (log.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal -2 binary64))) (-.f64 (pow.f64 x #s(literal -1/2 binary64)) (sqrt.f64 x)))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal -2 binary64))))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal -2 binary64))))
(*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal -2 binary64)))
(*.f64 (cbrt.f64 (/.f64 #s(literal 1/4 binary64) (pow.f64 x #s(literal 4 binary64)))) (cbrt.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal -2 binary64)))))
(*.f64 (/.f64 (sqrt.f64 #s(literal -1/2 binary64)) x) (/.f64 (sqrt.f64 #s(literal -1/2 binary64)) x))
(pow.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal -2 binary64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal -2 binary64)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal -2 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (/.f64 (sqrt.f64 #s(literal -1/2 binary64)) x) #s(literal 2 binary64))
(pow.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/2 binary64)) #s(literal -1 binary64))
(sqrt.f64 (/.f64 #s(literal 1/4 binary64) (pow.f64 x #s(literal 4 binary64))))
(log.f64 (pow.f64 (exp.f64 #s(literal -1/2 binary64)) (pow.f64 x #s(literal -2 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal -2 binary64))))))
(cbrt.f64 (pow.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal -2 binary64))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal -2 binary64)))))
(log1p.f64 (expm1.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal -2 binary64)))))
(exp.f64 (log.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal -2 binary64)))))
(exp.f64 (*.f64 (log.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal -2 binary64)))) #s(literal 1 binary64)))
(+.f64 (pow.f64 x #s(literal -1/2 binary64)) (neg.f64 (sqrt.f64 x)))
(+.f64 (-.f64 (pow.f64 x #s(literal -1/2 binary64)) (sqrt.f64 x)) (fma.f64 (neg.f64 (pow.f64 x #s(literal 1/4 binary64))) (pow.f64 x #s(literal 1/4 binary64)) (sqrt.f64 x)))
(+.f64 (fma.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -1/2 binary64)) (neg.f64 (*.f64 (sqrt.f64 x) #s(literal 1 binary64)))) (fma.f64 (neg.f64 (sqrt.f64 x)) #s(literal 1 binary64) (*.f64 (sqrt.f64 x) #s(literal 1 binary64))))
(+.f64 (fma.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -1/2 binary64)) (neg.f64 (*.f64 (cbrt.f64 (sqrt.f64 x)) (cbrt.f64 x)))) (fma.f64 (neg.f64 (cbrt.f64 (sqrt.f64 x))) (cbrt.f64 x) (*.f64 (cbrt.f64 (sqrt.f64 x)) (cbrt.f64 x))))
(+.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 x)) (cbrt.f64 (pow.f64 x #s(literal -1/2 binary64))) (neg.f64 (*.f64 (sqrt.f64 x) #s(literal 1 binary64)))) (fma.f64 (neg.f64 (sqrt.f64 x)) #s(literal 1 binary64) (*.f64 (sqrt.f64 x) #s(literal 1 binary64))))
(+.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 x)) (cbrt.f64 (pow.f64 x #s(literal -1/2 binary64))) (neg.f64 (*.f64 (cbrt.f64 (sqrt.f64 x)) (cbrt.f64 x)))) (fma.f64 (neg.f64 (cbrt.f64 (sqrt.f64 x))) (cbrt.f64 x) (*.f64 (cbrt.f64 (sqrt.f64 x)) (cbrt.f64 x))))
(+.f64 (fma.f64 (sqrt.f64 (pow.f64 x #s(literal -1/2 binary64))) (sqrt.f64 (pow.f64 x #s(literal -1/2 binary64))) (neg.f64 (*.f64 (sqrt.f64 x) #s(literal 1 binary64)))) (fma.f64 (neg.f64 (sqrt.f64 x)) #s(literal 1 binary64) (*.f64 (sqrt.f64 x) #s(literal 1 binary64))))
(+.f64 (fma.f64 (sqrt.f64 (pow.f64 x #s(literal -1/2 binary64))) (sqrt.f64 (pow.f64 x #s(literal -1/2 binary64))) (neg.f64 (*.f64 (cbrt.f64 (sqrt.f64 x)) (cbrt.f64 x)))) (fma.f64 (neg.f64 (cbrt.f64 (sqrt.f64 x))) (cbrt.f64 x) (*.f64 (cbrt.f64 (sqrt.f64 x)) (cbrt.f64 x))))
(*.f64 #s(literal 1 binary64) (-.f64 (pow.f64 x #s(literal -1/2 binary64)) (sqrt.f64 x)))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 (pow.f64 x #s(literal -1/2 binary64)) (sqrt.f64 x))) #s(literal 2 binary64)) (cbrt.f64 (-.f64 (pow.f64 x #s(literal -1/2 binary64)) (sqrt.f64 x))))
(*.f64 (sqrt.f64 (-.f64 (pow.f64 x #s(literal -1/2 binary64)) (sqrt.f64 x))) (sqrt.f64 (-.f64 (pow.f64 x #s(literal -1/2 binary64)) (sqrt.f64 x))))
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3/2 binary64))) (pow.f64 x #s(literal 3/2 binary64))) (+.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 x (*.f64 (pow.f64 x #s(literal -1/2 binary64)) (sqrt.f64 x)))))
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) x) (+.f64 (pow.f64 x #s(literal -1/2 binary64)) (sqrt.f64 x)))
(/.f64 (neg.f64 (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3/2 binary64))) (pow.f64 x #s(literal 3/2 binary64)))) (neg.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 x (*.f64 (pow.f64 x #s(literal -1/2 binary64)) (sqrt.f64 x))))))
(/.f64 (neg.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) x)) (neg.f64 (+.f64 (pow.f64 x #s(literal -1/2 binary64)) (sqrt.f64 x))))
(pow.f64 (-.f64 (pow.f64 x #s(literal -1/2 binary64)) (sqrt.f64 x)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (-.f64 (pow.f64 x #s(literal -1/2 binary64)) (sqrt.f64 x))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (-.f64 (pow.f64 x #s(literal -1/2 binary64)) (sqrt.f64 x)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (-.f64 (pow.f64 x #s(literal -1/2 binary64)) (sqrt.f64 x))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (-.f64 (pow.f64 x #s(literal -1/2 binary64)) (sqrt.f64 x)) #s(literal 2 binary64)))
(log.f64 (exp.f64 (-.f64 (pow.f64 x #s(literal -1/2 binary64)) (sqrt.f64 x))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (-.f64 (pow.f64 x #s(literal -1/2 binary64)) (sqrt.f64 x)))))
(cbrt.f64 (pow.f64 (-.f64 (pow.f64 x #s(literal -1/2 binary64)) (sqrt.f64 x)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (-.f64 (pow.f64 x #s(literal -1/2 binary64)) (sqrt.f64 x))))
(log1p.f64 (expm1.f64 (-.f64 (pow.f64 x #s(literal -1/2 binary64)) (sqrt.f64 x))))
(exp.f64 (log.f64 (-.f64 (pow.f64 x #s(literal -1/2 binary64)) (sqrt.f64 x))))
(exp.f64 (*.f64 (log.f64 (-.f64 (pow.f64 x #s(literal -1/2 binary64)) (sqrt.f64 x))) #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -1/2 binary64)) (neg.f64 (sqrt.f64 x)))
(fma.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 x)) (cbrt.f64 (pow.f64 x #s(literal -1/2 binary64))) (neg.f64 (sqrt.f64 x)))
(fma.f64 (sqrt.f64 (pow.f64 x #s(literal -1/2 binary64))) (sqrt.f64 (pow.f64 x #s(literal -1/2 binary64))) (neg.f64 (sqrt.f64 x)))
Outputs
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (sqrt.f64 x))))
(/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (+.f64 #s(literal 1 binary64) (sqrt.f64 x)))
(/.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 (pow.f64 x #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 2 binary64))))) (*.f64 (sqrt.f64 x) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (sqrt.f64 x))))) x)
(/.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 (pow.f64 x #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 2 binary64)))) (/.f64 (sqrt.f64 x) (+.f64 #s(literal 1 binary64) (sqrt.f64 x)))) x)
(/.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (sqrt.f64 (pow.f64 x #s(literal 3 binary64))) (pow.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 2 binary64))) (/.f64 (sqrt.f64 x) (+.f64 #s(literal 1 binary64) (sqrt.f64 x)))) x)
(/.f64 (+.f64 (*.f64 x (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 x) (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 2 binary64))))) (*.f64 x (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (sqrt.f64 x))))) (*.f64 (sqrt.f64 x) (+.f64 (*.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 2 binary64)))) (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 3 binary64)))))))))) (*.f64 (sqrt.f64 x) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (sqrt.f64 x))))) x)
(/.f64 (fma.f64 x (fma.f64 #s(literal -1/2 binary64) (/.f64 (sqrt.f64 x) (pow.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 2 binary64))) (*.f64 x (fma.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (sqrt.f64 x)))) (*.f64 (sqrt.f64 x) (+.f64 (/.f64 #s(literal 1/8 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 2 binary64))) (/.f64 #s(literal 1/4 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 3 binary64)))))))) (/.f64 (sqrt.f64 x) (+.f64 #s(literal 1 binary64) (sqrt.f64 x)))) x)
(/.f64 (fma.f64 x (fma.f64 x (fma.f64 (sqrt.f64 x) (+.f64 (/.f64 #s(literal 1/8 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 2 binary64))) (/.f64 #s(literal 1/4 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 3 binary64)))) (/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1/2 binary64)) (+.f64 #s(literal 1 binary64) (sqrt.f64 x)))) (/.f64 (*.f64 (sqrt.f64 x) #s(literal -1/2 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 2 binary64)))) (/.f64 (sqrt.f64 x) (+.f64 #s(literal 1 binary64) (sqrt.f64 x)))) x)
(/.f64 (+.f64 (*.f64 x (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 x) (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 2 binary64))))) (*.f64 x (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (sqrt.f64 x))))) (+.f64 (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 x) (+.f64 (*.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 2 binary64)))) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (*.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 2 binary64)))) (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 3 binary64))))) (+.f64 #s(literal 1 binary64) (sqrt.f64 x)))) (*.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 3 binary64)))))))) (+.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 2 binary64))))) (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (sqrt.f64 x)))))))) (*.f64 (sqrt.f64 x) (+.f64 (*.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 2 binary64)))) (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 3 binary64))))))))))) (*.f64 (sqrt.f64 x) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (sqrt.f64 x))))) x)
(/.f64 (fma.f64 x (fma.f64 #s(literal -1/2 binary64) (/.f64 (sqrt.f64 x) (pow.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 2 binary64))) (*.f64 x (fma.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (sqrt.f64 x)))) (fma.f64 x (fma.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 x) (+.f64 (/.f64 #s(literal 1/16 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 2 binary64))) (fma.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/8 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 2 binary64))) (/.f64 #s(literal 1/4 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 3 binary64)))) (+.f64 #s(literal 1 binary64) (sqrt.f64 x))) (/.f64 #s(literal 1/16 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 3 binary64)))))) (fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 2 binary64))) (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (sqrt.f64 x)))))) (*.f64 (sqrt.f64 x) (+.f64 (/.f64 #s(literal 1/8 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 2 binary64))) (/.f64 #s(literal 1/4 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 3 binary64))))))))) (/.f64 (sqrt.f64 x) (+.f64 #s(literal 1 binary64) (sqrt.f64 x)))) x)
(/.f64 (fma.f64 x (fma.f64 x (fma.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (+.f64 #s(literal 1 binary64) (sqrt.f64 x))) #s(literal -1/2 binary64) (fma.f64 x (fma.f64 (neg.f64 (sqrt.f64 x)) (+.f64 (/.f64 #s(literal 1/16 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 2 binary64))) (fma.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/8 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 2 binary64))) (/.f64 #s(literal 1/4 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 3 binary64)))) (+.f64 #s(literal 1 binary64) (sqrt.f64 x))) (/.f64 #s(literal 1/16 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 3 binary64))))) (fma.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (+.f64 #s(literal 1 binary64) (sqrt.f64 x))) #s(literal 1/2 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (pow.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 2 binary64)))))) (*.f64 (sqrt.f64 x) (+.f64 (/.f64 #s(literal 1/8 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 2 binary64))) (/.f64 #s(literal 1/4 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 3 binary64))))))) (/.f64 (*.f64 (sqrt.f64 x) #s(literal -1/2 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 2 binary64)))) (/.f64 (sqrt.f64 x) (+.f64 #s(literal 1 binary64) (sqrt.f64 x)))) x)
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))))
(/.f64 (+.f64 (*.f64 #s(literal -1/4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) (pow.f64 x #s(literal 2 binary64)))
(/.f64 (fma.f64 #s(literal -1/4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 (sqrt.f64 x) #s(literal 1/2 binary64))) (pow.f64 x #s(literal 2 binary64)))
(/.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1/4 binary64) (*.f64 (sqrt.f64 x) #s(literal 1/2 binary64))) (pow.f64 x #s(literal 2 binary64)))
(/.f64 (+.f64 (*.f64 #s(literal -1/4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (+.f64 (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (+.f64 (*.f64 #s(literal 3/16 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))))) (pow.f64 x #s(literal 2 binary64)))
(/.f64 (fma.f64 #s(literal -1/4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (fma.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (fma.f64 #s(literal 3/16 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (*.f64 (sqrt.f64 x) #s(literal 1/2 binary64))))) (pow.f64 x #s(literal 2 binary64)))
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(+.f64 (fma.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -1/2 binary64)) (*.f64 (cbrt.f64 (sqrt.f64 x)) (neg.f64 (cbrt.f64 x)))) (fma.f64 (neg.f64 (cbrt.f64 (sqrt.f64 x))) (cbrt.f64 x) (*.f64 (cbrt.f64 x) (cbrt.f64 (sqrt.f64 x)))))
(+.f64 (-.f64 (pow.f64 x #s(literal -1/2 binary64)) (*.f64 (cbrt.f64 x) (cbrt.f64 (sqrt.f64 x)))) (*.f64 #s(literal 0 binary64) (*.f64 (cbrt.f64 x) (cbrt.f64 (sqrt.f64 x)))))
(*.f64 #s(literal 1 binary64) (-.f64 (pow.f64 x #s(literal -1/2 binary64)) (sqrt.f64 x)))
(-.f64 (pow.f64 x #s(literal -1/2 binary64)) (sqrt.f64 x))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 (pow.f64 x #s(literal -1/2 binary64)) (sqrt.f64 x))) #s(literal 2 binary64)) (cbrt.f64 (-.f64 (pow.f64 x #s(literal -1/2 binary64)) (sqrt.f64 x))))
(-.f64 (pow.f64 x #s(literal -1/2 binary64)) (sqrt.f64 x))
(*.f64 (sqrt.f64 (-.f64 (pow.f64 x #s(literal -1/2 binary64)) (sqrt.f64 x))) (sqrt.f64 (-.f64 (pow.f64 x #s(literal -1/2 binary64)) (sqrt.f64 x))))
(-.f64 (pow.f64 x #s(literal -1/2 binary64)) (sqrt.f64 x))
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3/2 binary64))) (pow.f64 x #s(literal 3/2 binary64))) (+.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 x (*.f64 (pow.f64 x #s(literal -1/2 binary64)) (sqrt.f64 x)))))
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3/2 binary64))) (pow.f64 x #s(literal 3/2 binary64))) (+.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 x (*.f64 (sqrt.f64 x) (pow.f64 x #s(literal -1/2 binary64))))))
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3/2 binary64))) (pow.f64 x #s(literal 3/2 binary64))) (+.f64 (/.f64 #s(literal 1 binary64) x) (fma.f64 (sqrt.f64 x) (pow.f64 x #s(literal -1/2 binary64)) x)))
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) x) (+.f64 (pow.f64 x #s(literal -1/2 binary64)) (sqrt.f64 x)))
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) x) (+.f64 (sqrt.f64 x) (pow.f64 x #s(literal -1/2 binary64))))
(/.f64 (neg.f64 (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3/2 binary64))) (pow.f64 x #s(literal 3/2 binary64)))) (neg.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 x (*.f64 (pow.f64 x #s(literal -1/2 binary64)) (sqrt.f64 x))))))
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3/2 binary64))) (pow.f64 x #s(literal 3/2 binary64))) (+.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 x (*.f64 (sqrt.f64 x) (pow.f64 x #s(literal -1/2 binary64))))))
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3/2 binary64))) (pow.f64 x #s(literal 3/2 binary64))) (+.f64 (/.f64 #s(literal 1 binary64) x) (fma.f64 (sqrt.f64 x) (pow.f64 x #s(literal -1/2 binary64)) x)))
(/.f64 (neg.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) x)) (neg.f64 (+.f64 (pow.f64 x #s(literal -1/2 binary64)) (sqrt.f64 x))))
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) x) (+.f64 (sqrt.f64 x) (pow.f64 x #s(literal -1/2 binary64))))
(pow.f64 (-.f64 (pow.f64 x #s(literal -1/2 binary64)) (sqrt.f64 x)) #s(literal 1 binary64))
(-.f64 (pow.f64 x #s(literal -1/2 binary64)) (sqrt.f64 x))
(pow.f64 (cbrt.f64 (-.f64 (pow.f64 x #s(literal -1/2 binary64)) (sqrt.f64 x))) #s(literal 3 binary64))
(-.f64 (pow.f64 x #s(literal -1/2 binary64)) (sqrt.f64 x))
(pow.f64 (pow.f64 (-.f64 (pow.f64 x #s(literal -1/2 binary64)) (sqrt.f64 x)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(-.f64 (pow.f64 x #s(literal -1/2 binary64)) (sqrt.f64 x))
(pow.f64 (sqrt.f64 (-.f64 (pow.f64 x #s(literal -1/2 binary64)) (sqrt.f64 x))) #s(literal 2 binary64))
(-.f64 (pow.f64 x #s(literal -1/2 binary64)) (sqrt.f64 x))
(sqrt.f64 (pow.f64 (-.f64 (pow.f64 x #s(literal -1/2 binary64)) (sqrt.f64 x)) #s(literal 2 binary64)))
(fabs.f64 (-.f64 (pow.f64 x #s(literal -1/2 binary64)) (sqrt.f64 x)))
(log.f64 (exp.f64 (-.f64 (pow.f64 x #s(literal -1/2 binary64)) (sqrt.f64 x))))
(-.f64 (pow.f64 x #s(literal -1/2 binary64)) (sqrt.f64 x))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (-.f64 (pow.f64 x #s(literal -1/2 binary64)) (sqrt.f64 x)))))
(-.f64 (pow.f64 x #s(literal -1/2 binary64)) (sqrt.f64 x))
(cbrt.f64 (pow.f64 (-.f64 (pow.f64 x #s(literal -1/2 binary64)) (sqrt.f64 x)) #s(literal 3 binary64)))
(-.f64 (pow.f64 x #s(literal -1/2 binary64)) (sqrt.f64 x))
(expm1.f64 (log1p.f64 (-.f64 (pow.f64 x #s(literal -1/2 binary64)) (sqrt.f64 x))))
(log1p.f64 (expm1.f64 (-.f64 (pow.f64 x #s(literal -1/2 binary64)) (sqrt.f64 x))))
(-.f64 (pow.f64 x #s(literal -1/2 binary64)) (sqrt.f64 x))
(exp.f64 (log.f64 (-.f64 (pow.f64 x #s(literal -1/2 binary64)) (sqrt.f64 x))))
(-.f64 (pow.f64 x #s(literal -1/2 binary64)) (sqrt.f64 x))
(exp.f64 (*.f64 (log.f64 (-.f64 (pow.f64 x #s(literal -1/2 binary64)) (sqrt.f64 x))) #s(literal 1 binary64)))
(-.f64 (pow.f64 x #s(literal -1/2 binary64)) (sqrt.f64 x))
(fma.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -1/2 binary64)) (neg.f64 (sqrt.f64 x)))
(-.f64 (pow.f64 x #s(literal -1/2 binary64)) (sqrt.f64 x))
(fma.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 x)) (cbrt.f64 (pow.f64 x #s(literal -1/2 binary64))) (neg.f64 (sqrt.f64 x)))
(-.f64 (*.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 x)) (cbrt.f64 (pow.f64 x #s(literal -1/2 binary64)))) (sqrt.f64 x))
(fma.f64 (sqrt.f64 (pow.f64 x #s(literal -1/2 binary64))) (sqrt.f64 (pow.f64 x #s(literal -1/2 binary64))) (neg.f64 (sqrt.f64 x)))
(-.f64 (pow.f64 x #s(literal -1/2 binary64)) (sqrt.f64 x))

eval578.0ms (5.7%)

Compiler

Compiled 20518 to 14733 computations (28.2% saved)

prune152.0ms (1.5%)

Pruning

30 alts after pruning (26 fresh and 4 done)

PrunedKeptTotal
New97814992
Fresh61218
Picked415
Done033
Total988301018
Accuracy
100.0%
Counts
1018 → 30
Alt Table
Click to see full alt table
StatusAccuracyProgram
98.2%
(pow.f64 (/.f64 (sqrt.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (pow.f64 x #s(literal -1/2 binary64)) (sqrt.f64 x)))) x) #s(literal 2 binary64))
5.5%
(pow.f64 x #s(literal -1/2 binary64))
99.0%
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) x)) x) (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))))
99.0%
(/.f64 (/.f64 (+.f64 (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) x) (*.f64 (-.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/8 binary64) x)) x)) (neg.f64 x)))
98.4%
(/.f64 (/.f64 (*.f64 (sqrt.f64 x) #s(literal 1/2 binary64)) x) x)
80.8%
(/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 #s(literal 1 binary64) x)))) (sqrt.f64 (*.f64 x (+.f64 #s(literal 1 binary64) x))))
98.4%
(/.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))))
34.8%
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x))) (+.f64 (pow.f64 x #s(literal -1/2 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64))))
34.5%
(/.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)) (/.f64 (-.f64 (*.f64 x (+.f64 #s(literal 1/2 binary64) x)) #s(literal 1/8 binary64)) x))
34.3%
(/.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)) (+.f64 x #s(literal 1/2 binary64)))
34.8%
(/.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)) (sqrt.f64 (*.f64 x (+.f64 #s(literal 1 binary64) x))))
98.4%
(/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)) x)
98.6%
(/.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal -1/2 binary64))) (*.f64 (-.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/8 binary64) x)) x)) (neg.f64 x)))
98.5%
(/.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) (*.f64 (-.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/8 binary64) x)) x)) (neg.f64 x)))
79.6%
(/.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (/.f64 (-.f64 (*.f64 x (+.f64 #s(literal 1/2 binary64) x)) #s(literal 1/8 binary64)) x))
98.5%
(/.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (+.f64 x (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/8 binary64) x))))
98.5%
(/.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (+.f64 x #s(literal 1/2 binary64)))
98.5%
(/.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (*.f64 (+.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/8 binary64) x)) x) #s(literal 1 binary64)) x))
98.2%
(/.f64 (*.f64 #s(literal 1/2 binary64) (cbrt.f64 (pow.f64 x #s(literal -3/2 binary64)))) (*.f64 (-.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/8 binary64) x)) x)) (neg.f64 x)))
79.6%
(/.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (pow.f64 x #s(literal -1/2 binary64)) (sqrt.f64 x))) (pow.f64 x #s(literal 2 binary64)))
5.5%
(/.f64 (sqrt.f64 x) x)
5.5%
(/.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 x)))
5.5%
(/.f64 #s(literal 1 binary64) (sqrt.f64 x))
34.8%
(-.f64 (pow.f64 x #s(literal -1/2 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)))
27.4%
(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)))
99.4%
(*.f64 (pow.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) #s(literal -1/2 binary64)) (/.f64 (pow.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) #s(literal -1/2 binary64)) (hypot.f64 (sqrt.f64 x) x)))
79.5%
(*.f64 (/.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64))) (neg.f64 (sqrt.f64 x)))
5.5%
(*.f64 (sqrt.f64 x) (/.f64 #s(literal 1 binary64) x))
61.6%
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))))
5.5%
(sqrt.f64 (/.f64 #s(literal 1 binary64) x))
Compiler

Compiled 1294 to 944 computations (27% saved)

regimes24.0ms (0.2%)

Counts
64 → 1
Calls
Call 1
Inputs
(pow.f64 x #s(literal -1/2 binary64))
(sqrt.f64 (/.f64 #s(literal 1 binary64) x))
(/.f64 #s(literal 1 binary64) (sqrt.f64 x))
(/.f64 (sqrt.f64 x) x)
(*.f64 (sqrt.f64 x) (/.f64 #s(literal 1 binary64) x))
(/.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 x)))
(/.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) x)
(/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)) x)
(/.f64 (/.f64 (*.f64 (sqrt.f64 x) #s(literal 1/2 binary64)) x) x)
(/.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (+.f64 x #s(literal 1/2 binary64)))
(/.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (+.f64 x (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/8 binary64) x))))
(/.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (/.f64 (-.f64 (*.f64 x (+.f64 #s(literal 1/2 binary64) x)) #s(literal 1/8 binary64)) x))
(/.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (*.f64 (+.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/8 binary64) x)) x) #s(literal 1 binary64)) x))
(/.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal -1/2 binary64))) (*.f64 (-.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/8 binary64) x)) x)) (neg.f64 x)))
(/.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (*.f64 (-.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/8 binary64) x)) x)) (neg.f64 x)))
(/.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) (*.f64 (-.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/8 binary64) x)) x)) (neg.f64 x)))
(cbrt.f64 (pow.f64 x #s(literal -3/2 binary64)))
(exp.f64 (*.f64 #s(literal -1/2 binary64) (log.f64 x)))
(pow.f64 (pow.f64 x #s(literal -1/4 binary64)) #s(literal 2 binary64))
(pow.f64 (pow.f64 x #s(literal 1/8 binary64)) #s(literal -4 binary64))
(pow.f64 (pow.f64 x #s(literal 1/4 binary64)) #s(literal -2 binary64))
(pow.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/4 binary64))
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))))
(*.f64 (/.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64))) (neg.f64 (sqrt.f64 x)))
(-.f64 (pow.f64 x #s(literal -1/2 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)))
(/.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)) x)
(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)))
(-.f64 (pow.f64 x #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))
(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))
(/.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)) (+.f64 x #s(literal 1/2 binary64)))
(/.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))))
(/.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (sqrt.f64 (*.f64 x (+.f64 #s(literal 1 binary64) x))))
(/.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)) (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) x))))
(/.f64 (/.f64 (+.f64 (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) x) x)
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) x)) x) (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))))
(/.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)) (/.f64 (-.f64 (*.f64 x (+.f64 #s(literal 1/2 binary64) x)) #s(literal 1/8 binary64)) x))
(/.f64 (*.f64 #s(literal 1/2 binary64) (cbrt.f64 (pow.f64 x #s(literal -3/2 binary64)))) (*.f64 (-.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/8 binary64) x)) x)) (neg.f64 x)))
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x))) (+.f64 (pow.f64 x #s(literal -1/2 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64))))
(/.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)) (*.f64 (-.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/8 binary64) x)) x)) (neg.f64 x)))
(*.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 x #s(literal -1/2 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)))))
(/.f64 (/.f64 (+.f64 (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) x) (*.f64 (-.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/8 binary64) x)) x)) (neg.f64 x)))
(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (exp.f64 (neg.f64 (*.f64 #s(literal 1/2 binary64) (log1p.f64 x)))))
(-.f64 (pow.f64 (pow.f64 x #s(literal 1/4 binary64)) #s(literal -2 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)))
(/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 x) (hypot.f64 #s(literal 1 binary64) (sqrt.f64 x)))) x)
(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (pow.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1/4 binary64)) #s(literal -2 binary64)))
(/.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (pow.f64 x #s(literal -1/2 binary64)) (sqrt.f64 x))) (pow.f64 x #s(literal 2 binary64)))
(*.f64 (/.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64))) (-.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)))
(/.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 x))) (pow.f64 x #s(literal 2 binary64)))
(/.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)) (sqrt.f64 (*.f64 x (+.f64 #s(literal 1 binary64) x))))
(/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 #s(literal 1 binary64) x)))) (sqrt.f64 (*.f64 x (+.f64 #s(literal 1 binary64) x))))
(*.f64 (+.f64 (/.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)) #s(literal -1 binary64)) (/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(/.f64 (/.f64 (+.f64 (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) x) (sqrt.f64 (*.f64 x (+.f64 #s(literal 1 binary64) x))))
(pow.f64 (/.f64 (sqrt.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (pow.f64 x #s(literal -1/2 binary64)) (sqrt.f64 x)))) x) #s(literal 2 binary64))
(/.f64 #s(literal 1 binary64) (*.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (hypot.f64 (sqrt.f64 x) x)))
(/.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 (sqrt.f64 x) x)) (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))))
(/.f64 (/.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)) (sqrt.f64 x)) (sqrt.f64 (+.f64 #s(literal 1 binary64) x)))
(/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 x) (hypot.f64 #s(literal 1 binary64) (sqrt.f64 x)))) (sqrt.f64 (*.f64 x (+.f64 #s(literal 1 binary64) x))))
(/.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (*.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 #s(literal 1 binary64) x)))))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 #s(literal 1 binary64) x)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))))
(/.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) x)))) (+.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 x)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))) (pow.f64 x #s(literal 2 binary64)))
(/.f64 (+.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal 3/16 binary64) (*.f64 (sqrt.f64 x) #s(literal 1/2 binary64))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -3/8 binary64))) (pow.f64 x #s(literal 2 binary64)))
(/.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x)))) (+.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 x)) (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) x)))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))) (pow.f64 x #s(literal 2 binary64)))
(*.f64 (pow.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) #s(literal -1/2 binary64)) (/.f64 (pow.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) #s(literal -1/2 binary64)) (hypot.f64 (sqrt.f64 x) x)))
(+.f64 (fma.f64 (neg.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)))) (cbrt.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64))) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64))) (/.f64 (-.f64 (pow.f64 (sqrt.f64 x) #s(literal -3 binary64)) (pow.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) #s(literal -3 binary64))) (fma.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)) (+.f64 (pow.f64 x #s(literal -1/2 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64))) (/.f64 #s(literal 1 binary64) x))))
Outputs
(/.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 (sqrt.f64 x) x)) (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))))
Calls

2 calls:

16.0ms
x
3.0ms
(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))
Results
AccuracySegmentsBranch
99.6%1x
99.6%1(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))
Compiler

Compiled 14 to 11 computations (21.4% saved)

regimes21.0ms (0.2%)

Counts
54 → 1
Calls
Call 1
Inputs
(pow.f64 x #s(literal -1/2 binary64))
(sqrt.f64 (/.f64 #s(literal 1 binary64) x))
(/.f64 #s(literal 1 binary64) (sqrt.f64 x))
(/.f64 (sqrt.f64 x) x)
(*.f64 (sqrt.f64 x) (/.f64 #s(literal 1 binary64) x))
(/.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 x)))
(/.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) x)
(/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)) x)
(/.f64 (/.f64 (*.f64 (sqrt.f64 x) #s(literal 1/2 binary64)) x) x)
(/.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (+.f64 x #s(literal 1/2 binary64)))
(/.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (+.f64 x (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/8 binary64) x))))
(/.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (/.f64 (-.f64 (*.f64 x (+.f64 #s(literal 1/2 binary64) x)) #s(literal 1/8 binary64)) x))
(/.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (*.f64 (+.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/8 binary64) x)) x) #s(literal 1 binary64)) x))
(/.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal -1/2 binary64))) (*.f64 (-.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/8 binary64) x)) x)) (neg.f64 x)))
(/.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (*.f64 (-.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/8 binary64) x)) x)) (neg.f64 x)))
(/.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) (*.f64 (-.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/8 binary64) x)) x)) (neg.f64 x)))
(cbrt.f64 (pow.f64 x #s(literal -3/2 binary64)))
(exp.f64 (*.f64 #s(literal -1/2 binary64) (log.f64 x)))
(pow.f64 (pow.f64 x #s(literal -1/4 binary64)) #s(literal 2 binary64))
(pow.f64 (pow.f64 x #s(literal 1/8 binary64)) #s(literal -4 binary64))
(pow.f64 (pow.f64 x #s(literal 1/4 binary64)) #s(literal -2 binary64))
(pow.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/4 binary64))
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))))
(*.f64 (/.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64))) (neg.f64 (sqrt.f64 x)))
(-.f64 (pow.f64 x #s(literal -1/2 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)))
(/.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)) x)
(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)))
(-.f64 (pow.f64 x #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))
(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))
(/.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)) (+.f64 x #s(literal 1/2 binary64)))
(/.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))))
(/.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (sqrt.f64 (*.f64 x (+.f64 #s(literal 1 binary64) x))))
(/.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)) (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) x))))
(/.f64 (/.f64 (+.f64 (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) x) x)
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) x)) x) (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))))
(/.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)) (/.f64 (-.f64 (*.f64 x (+.f64 #s(literal 1/2 binary64) x)) #s(literal 1/8 binary64)) x))
(/.f64 (*.f64 #s(literal 1/2 binary64) (cbrt.f64 (pow.f64 x #s(literal -3/2 binary64)))) (*.f64 (-.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/8 binary64) x)) x)) (neg.f64 x)))
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x))) (+.f64 (pow.f64 x #s(literal -1/2 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64))))
(/.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)) (*.f64 (-.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/8 binary64) x)) x)) (neg.f64 x)))
(*.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 x #s(literal -1/2 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)))))
(/.f64 (/.f64 (+.f64 (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) x) (*.f64 (-.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/8 binary64) x)) x)) (neg.f64 x)))
(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (exp.f64 (neg.f64 (*.f64 #s(literal 1/2 binary64) (log1p.f64 x)))))
(-.f64 (pow.f64 (pow.f64 x #s(literal 1/4 binary64)) #s(literal -2 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)))
(/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 x) (hypot.f64 #s(literal 1 binary64) (sqrt.f64 x)))) x)
(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (pow.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1/4 binary64)) #s(literal -2 binary64)))
(/.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (pow.f64 x #s(literal -1/2 binary64)) (sqrt.f64 x))) (pow.f64 x #s(literal 2 binary64)))
(*.f64 (/.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64))) (-.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)))
(/.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 x))) (pow.f64 x #s(literal 2 binary64)))
(/.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)) (sqrt.f64 (*.f64 x (+.f64 #s(literal 1 binary64) x))))
(/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 #s(literal 1 binary64) x)))) (sqrt.f64 (*.f64 x (+.f64 #s(literal 1 binary64) x))))
(*.f64 (+.f64 (/.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)) #s(literal -1 binary64)) (/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(/.f64 (/.f64 (+.f64 (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) x) (sqrt.f64 (*.f64 x (+.f64 #s(literal 1 binary64) x))))
(pow.f64 (/.f64 (sqrt.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (pow.f64 x #s(literal -1/2 binary64)) (sqrt.f64 x)))) x) #s(literal 2 binary64))
(/.f64 #s(literal 1 binary64) (*.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (hypot.f64 (sqrt.f64 x) x)))
Outputs
(/.f64 (/.f64 (+.f64 (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) x) (*.f64 (-.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/8 binary64) x)) x)) (neg.f64 x)))
Calls

2 calls:

14.0ms
x
4.0ms
(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))
Results
AccuracySegmentsBranch
99.0%1x
99.0%1(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))
Compiler

Compiled 14 to 11 computations (21.4% saved)

regimes16.0ms (0.2%)

Counts
40 → 1
Calls
Call 1
Inputs
(pow.f64 x #s(literal -1/2 binary64))
(sqrt.f64 (/.f64 #s(literal 1 binary64) x))
(/.f64 #s(literal 1 binary64) (sqrt.f64 x))
(/.f64 (sqrt.f64 x) x)
(*.f64 (sqrt.f64 x) (/.f64 #s(literal 1 binary64) x))
(/.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 x)))
(/.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) x)
(/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)) x)
(/.f64 (/.f64 (*.f64 (sqrt.f64 x) #s(literal 1/2 binary64)) x) x)
(/.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (+.f64 x #s(literal 1/2 binary64)))
(/.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (+.f64 x (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/8 binary64) x))))
(/.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (/.f64 (-.f64 (*.f64 x (+.f64 #s(literal 1/2 binary64) x)) #s(literal 1/8 binary64)) x))
(/.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (*.f64 (+.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/8 binary64) x)) x) #s(literal 1 binary64)) x))
(/.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal -1/2 binary64))) (*.f64 (-.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/8 binary64) x)) x)) (neg.f64 x)))
(/.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (*.f64 (-.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/8 binary64) x)) x)) (neg.f64 x)))
(/.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) (*.f64 (-.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/8 binary64) x)) x)) (neg.f64 x)))
(cbrt.f64 (pow.f64 x #s(literal -3/2 binary64)))
(exp.f64 (*.f64 #s(literal -1/2 binary64) (log.f64 x)))
(pow.f64 (pow.f64 x #s(literal -1/4 binary64)) #s(literal 2 binary64))
(pow.f64 (pow.f64 x #s(literal 1/8 binary64)) #s(literal -4 binary64))
(pow.f64 (pow.f64 x #s(literal 1/4 binary64)) #s(literal -2 binary64))
(pow.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/4 binary64))
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))))
(*.f64 (/.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64))) (neg.f64 (sqrt.f64 x)))
(-.f64 (pow.f64 x #s(literal -1/2 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)))
(/.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)) x)
(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)))
(-.f64 (pow.f64 x #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))
(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))
(/.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)) (+.f64 x #s(literal 1/2 binary64)))
(/.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))))
(/.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (sqrt.f64 (*.f64 x (+.f64 #s(literal 1 binary64) x))))
(/.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)) (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) x))))
(/.f64 (/.f64 (+.f64 (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) x) x)
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) x)) x) (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))))
(/.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)) (/.f64 (-.f64 (*.f64 x (+.f64 #s(literal 1/2 binary64) x)) #s(literal 1/8 binary64)) x))
(/.f64 (*.f64 #s(literal 1/2 binary64) (cbrt.f64 (pow.f64 x #s(literal -3/2 binary64)))) (*.f64 (-.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/8 binary64) x)) x)) (neg.f64 x)))
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x))) (+.f64 (pow.f64 x #s(literal -1/2 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64))))
(/.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)) (*.f64 (-.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/8 binary64) x)) x)) (neg.f64 x)))
(*.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 x #s(literal -1/2 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)))))
Outputs
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) x)) x) (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))))
Calls

2 calls:

11.0ms
x
2.0ms
(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))
Results
AccuracySegmentsBranch
99.0%1x
99.0%1(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))
Compiler

Compiled 14 to 11 computations (21.4% saved)

regimes14.0ms (0.1%)

Counts
34 → 1
Calls
Call 1
Inputs
(pow.f64 x #s(literal -1/2 binary64))
(sqrt.f64 (/.f64 #s(literal 1 binary64) x))
(/.f64 #s(literal 1 binary64) (sqrt.f64 x))
(/.f64 (sqrt.f64 x) x)
(*.f64 (sqrt.f64 x) (/.f64 #s(literal 1 binary64) x))
(/.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 x)))
(/.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) x)
(/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)) x)
(/.f64 (/.f64 (*.f64 (sqrt.f64 x) #s(literal 1/2 binary64)) x) x)
(/.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (+.f64 x #s(literal 1/2 binary64)))
(/.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (+.f64 x (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/8 binary64) x))))
(/.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (/.f64 (-.f64 (*.f64 x (+.f64 #s(literal 1/2 binary64) x)) #s(literal 1/8 binary64)) x))
(/.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (*.f64 (+.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/8 binary64) x)) x) #s(literal 1 binary64)) x))
(/.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal -1/2 binary64))) (*.f64 (-.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/8 binary64) x)) x)) (neg.f64 x)))
(/.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (*.f64 (-.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/8 binary64) x)) x)) (neg.f64 x)))
(/.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) (*.f64 (-.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/8 binary64) x)) x)) (neg.f64 x)))
(cbrt.f64 (pow.f64 x #s(literal -3/2 binary64)))
(exp.f64 (*.f64 #s(literal -1/2 binary64) (log.f64 x)))
(pow.f64 (pow.f64 x #s(literal -1/4 binary64)) #s(literal 2 binary64))
(pow.f64 (pow.f64 x #s(literal 1/8 binary64)) #s(literal -4 binary64))
(pow.f64 (pow.f64 x #s(literal 1/4 binary64)) #s(literal -2 binary64))
(pow.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/4 binary64))
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))))
(*.f64 (/.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64))) (neg.f64 (sqrt.f64 x)))
(-.f64 (pow.f64 x #s(literal -1/2 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)))
(/.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)) x)
(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)))
(-.f64 (pow.f64 x #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))
(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))
(/.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)) (+.f64 x #s(literal 1/2 binary64)))
(/.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))))
(/.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (sqrt.f64 (*.f64 x (+.f64 #s(literal 1 binary64) x))))
(/.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)) (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) x))))
(/.f64 (/.f64 (+.f64 (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) x) x)
Outputs
(/.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal -1/2 binary64))) (*.f64 (-.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/8 binary64) x)) x)) (neg.f64 x)))
Calls

2 calls:

11.0ms
x
2.0ms
(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))
Results
AccuracySegmentsBranch
98.6%1x
98.6%1(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))
Compiler

Compiled 14 to 11 computations (21.4% saved)

regimes5.0ms (0%)

Counts
13 → 1
Calls
Call 1
Inputs
(pow.f64 x #s(literal -1/2 binary64))
(sqrt.f64 (/.f64 #s(literal 1 binary64) x))
(/.f64 #s(literal 1 binary64) (sqrt.f64 x))
(/.f64 (sqrt.f64 x) x)
(*.f64 (sqrt.f64 x) (/.f64 #s(literal 1 binary64) x))
(/.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 x)))
(/.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) x)
(/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)) x)
(/.f64 (/.f64 (*.f64 (sqrt.f64 x) #s(literal 1/2 binary64)) x) x)
(/.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (+.f64 x #s(literal 1/2 binary64)))
(/.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (+.f64 x (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/8 binary64) x))))
(/.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (/.f64 (-.f64 (*.f64 x (+.f64 #s(literal 1/2 binary64) x)) #s(literal 1/8 binary64)) x))
(/.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (*.f64 (+.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/8 binary64) x)) x) #s(literal 1 binary64)) x))
Outputs
(/.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (*.f64 (+.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/8 binary64) x)) x) #s(literal 1 binary64)) x))
Calls

1 calls:

4.0ms
x
Results
AccuracySegmentsBranch
98.5%1x
Compiler

Compiled 2 to 1 computations (50% saved)

regimes7.0ms (0.1%)

Counts
12 → 1
Calls
Call 1
Inputs
(pow.f64 x #s(literal -1/2 binary64))
(sqrt.f64 (/.f64 #s(literal 1 binary64) x))
(/.f64 #s(literal 1 binary64) (sqrt.f64 x))
(/.f64 (sqrt.f64 x) x)
(*.f64 (sqrt.f64 x) (/.f64 #s(literal 1 binary64) x))
(/.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 x)))
(/.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) x)
(/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)) x)
(/.f64 (/.f64 (*.f64 (sqrt.f64 x) #s(literal 1/2 binary64)) x) x)
(/.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (+.f64 x #s(literal 1/2 binary64)))
(/.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (+.f64 x (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/8 binary64) x))))
(/.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (/.f64 (-.f64 (*.f64 x (+.f64 #s(literal 1/2 binary64) x)) #s(literal 1/8 binary64)) x))
Outputs
(/.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (+.f64 x (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/8 binary64) x))))
Calls

1 calls:

6.0ms
x
Results
AccuracySegmentsBranch
98.5%1x
Compiler

Compiled 2 to 1 computations (50% saved)

regimes4.0ms (0%)

Counts
10 → 1
Calls
Call 1
Inputs
(pow.f64 x #s(literal -1/2 binary64))
(sqrt.f64 (/.f64 #s(literal 1 binary64) x))
(/.f64 #s(literal 1 binary64) (sqrt.f64 x))
(/.f64 (sqrt.f64 x) x)
(*.f64 (sqrt.f64 x) (/.f64 #s(literal 1 binary64) x))
(/.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 x)))
(/.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) x)
(/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)) x)
(/.f64 (/.f64 (*.f64 (sqrt.f64 x) #s(literal 1/2 binary64)) x) x)
(/.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (+.f64 x #s(literal 1/2 binary64)))
Outputs
(/.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (+.f64 x #s(literal 1/2 binary64)))
Calls

1 calls:

3.0ms
x
Results
AccuracySegmentsBranch
98.5%1x
Compiler

Compiled 2 to 1 computations (50% saved)

regimes3.0ms (0%)

Counts
9 → 1
Calls
Call 1
Inputs
(pow.f64 x #s(literal -1/2 binary64))
(sqrt.f64 (/.f64 #s(literal 1 binary64) x))
(/.f64 #s(literal 1 binary64) (sqrt.f64 x))
(/.f64 (sqrt.f64 x) x)
(*.f64 (sqrt.f64 x) (/.f64 #s(literal 1 binary64) x))
(/.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 x)))
(/.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) x)
(/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)) x)
(/.f64 (/.f64 (*.f64 (sqrt.f64 x) #s(literal 1/2 binary64)) x) x)
Outputs
(/.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) x)
Calls

1 calls:

3.0ms
x
Results
AccuracySegmentsBranch
98.4%1x
Compiler

Compiled 2 to 1 computations (50% saved)

regimes7.0ms (0.1%)

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

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

1 calls:

7.0ms
x
Results
AccuracySegmentsBranch
5.5%1x
Compiler

Compiled 2 to 1 computations (50% saved)

simplify74.0ms (0.7%)

Algorithm
egg-herbie
Rules
188×distribute-lft-neg-in
147×unsub-neg
112×neg-mul-1
91×neg-sub0
79×distribute-neg-in
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
051463
178463
2102463
3131455
4182455
5239455
6343455
7487455
8666455
9876455
101010455
111097455
121146455
131194455
141231455
151254455
161267455
171272455
181273455
Stop Event
saturated
Calls
Call 1
Inputs
(/.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 (sqrt.f64 x) x)) (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))))
(/.f64 (/.f64 (+.f64 (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) x) (*.f64 (-.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/8 binary64) x)) x)) (neg.f64 x)))
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) x)) x) (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))))
(/.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal -1/2 binary64))) (*.f64 (-.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/8 binary64) x)) x)) (neg.f64 x)))
(/.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (*.f64 (+.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/8 binary64) x)) x) #s(literal 1 binary64)) x))
(/.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (+.f64 x (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/8 binary64) x))))
(/.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (+.f64 x #s(literal 1/2 binary64)))
(/.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) x)
(pow.f64 x #s(literal -1/2 binary64))
Outputs
(/.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 (sqrt.f64 x) x)) (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))))
(/.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 (sqrt.f64 x) x)) (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))
(/.f64 (/.f64 (+.f64 (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) x) (*.f64 (-.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/8 binary64) x)) x)) (neg.f64 x)))
(/.f64 (/.f64 (+.f64 (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (*.f64 (sqrt.f64 x) #s(literal 1/2 binary64))) x) (*.f64 (-.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/8 binary64) x)) x)) (neg.f64 x)))
(/.f64 (/.f64 (+.f64 (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (*.f64 (sqrt.f64 x) #s(literal 1/2 binary64))) x) (*.f64 x (-.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/8 binary64) x)) x) #s(literal -1 binary64))))
(/.f64 (/.f64 (+.f64 (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (*.f64 (sqrt.f64 x) #s(literal 1/2 binary64))) x) (*.f64 x (+.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/8 binary64) x)) x) #s(literal 1 binary64))))
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) x)) x) (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))))
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) x)) x) (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))
(/.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal -1/2 binary64))) (*.f64 (-.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/8 binary64) x)) x)) (neg.f64 x)))
(/.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal -1/2 binary64))) (*.f64 x (-.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/8 binary64) x)) x) #s(literal -1 binary64))))
(/.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal -1/2 binary64))) (*.f64 x (+.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/8 binary64) x)) x) #s(literal 1 binary64))))
(/.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (*.f64 (+.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/8 binary64) x)) x) #s(literal 1 binary64)) x))
(/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)) (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/8 binary64) x)) x))))
(/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)) (*.f64 x (+.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/8 binary64) x)) x) #s(literal 1 binary64))))
(/.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (+.f64 x (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/8 binary64) x))))
(/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)) (+.f64 x (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/8 binary64) x))))
(/.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (+.f64 x #s(literal 1/2 binary64)))
(/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)) (+.f64 x #s(literal 1/2 binary64)))
(/.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) x)
(/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)) x)
(pow.f64 x #s(literal -1/2 binary64))

soundness1.0s (10.3%)

Rules
892×log1p-expm1-u
892×expm1-log1p-u
810×prod-diff
653×fma-neg
522×associate-*r*
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01373
118757
2263157
090618521
1225516341
2769616321
043301
1771249
092520492
1233018999
096919566
1243117358
032299
1558285
Stop Event
fuel
node limit
node limit
node limit
node limit
node limit
node limit
Compiler

Compiled 2109 to 1447 computations (31.4% saved)

preprocess73.0ms (0.7%)

Compiler

Compiled 306 to 228 computations (25.5% saved)

end0.0ms (0%)

Profiling

Loading profile data...