subtraction fraction

Time bar (total: 5.6s)

analyze14.0ms (0.2%)

Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%99.9%0.1%0%0%0%0
0%0%99.9%0.1%0%0%0%1
0%0%99.9%0.1%0%0%0%2
50%50%50%0.1%0%0%0%3
50%50%50%0.1%0%0%0%4
75%74.9%25%0.1%0%0%0%5
75%74.9%25%0.1%0%0%0%6
87.5%87.4%12.5%0.1%0%0%0%7
87.5%87.4%12.5%0.1%0%0%0%8
93.8%93.7%6.2%0.1%0%0%0%9
93.8%93.7%6.2%0.1%0%0%0%10
96.9%96.8%3.1%0.1%0%0%0%11
96.9%96.8%3.1%0.1%0%0%0%12
Compiler

Compiled 11 to 7 computations (36.4% saved)

sample735.0ms (13%)

Results
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Bogosity

preprocess216.0ms (3.8%)

Algorithm
egg-herbie
Rules
2038×fma-def
892×times-frac
830×div-sub
420×associate-/r*
270×associate-*r/
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
00-0-(/.f64 (neg.f64 (+.f64 f n)) (-.f64 f n))
00-0-f
00-0-n
00-0-(-.f64 f n)
00-0-(neg.f64 (+.f64 f n))
00-0-(+.f64 f n)
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
028269
174245
2194229
3558217
41734217
53224217
63959217
74143217
84219217
94243217
104243217
Stop Event
saturated
Calls
Call 1
Inputs
(/.f64 (neg.f64 (+.f64 f n)) (-.f64 f n))
(/.f64 (neg.f64 (+.f64 f n)) (-.f64 f n))
(/.f64 (neg.f64 (+.f64 (neg.f64 f) n)) (-.f64 (neg.f64 f) n))
(/.f64 (neg.f64 (+.f64 f (neg.f64 n))) (-.f64 f (neg.f64 n)))
(neg.f64 (/.f64 (neg.f64 (+.f64 (neg.f64 f) n)) (-.f64 (neg.f64 f) n)))
(neg.f64 (/.f64 (neg.f64 (+.f64 f (neg.f64 n))) (-.f64 f (neg.f64 n))))
(/.f64 (neg.f64 (+.f64 n f)) (-.f64 n f))
Outputs
(/.f64 (neg.f64 (+.f64 f n)) (-.f64 f n))
(/.f64 (-.f64 (neg.f64 f) n) (-.f64 f n))
(/.f64 (+.f64 f n) (-.f64 n f))
(/.f64 (neg.f64 (+.f64 f n)) (-.f64 f n))
(/.f64 (-.f64 (neg.f64 f) n) (-.f64 f n))
(/.f64 (+.f64 f n) (-.f64 n f))
(/.f64 (neg.f64 (+.f64 (neg.f64 f) n)) (-.f64 (neg.f64 f) n))
(/.f64 (neg.f64 (-.f64 n f)) (-.f64 (neg.f64 f) n))
(/.f64 (-.f64 f n) (-.f64 (neg.f64 f) n))
(/.f64 (-.f64 n f) (+.f64 f n))
(/.f64 (neg.f64 (+.f64 f (neg.f64 n))) (-.f64 f (neg.f64 n)))
(/.f64 (neg.f64 (-.f64 n f)) (-.f64 (neg.f64 f) n))
(/.f64 (-.f64 f n) (-.f64 (neg.f64 f) n))
(/.f64 (-.f64 n f) (+.f64 f n))
(neg.f64 (/.f64 (neg.f64 (+.f64 (neg.f64 f) n)) (-.f64 (neg.f64 f) n)))
(/.f64 (neg.f64 (neg.f64 (-.f64 n f))) (-.f64 (neg.f64 f) n))
(/.f64 (-.f64 n f) (-.f64 (neg.f64 f) n))
(/.f64 (-.f64 f n) (+.f64 f n))
(neg.f64 (/.f64 (neg.f64 (+.f64 f (neg.f64 n))) (-.f64 f (neg.f64 n))))
(/.f64 (neg.f64 (neg.f64 (-.f64 n f))) (-.f64 (neg.f64 f) n))
(/.f64 (-.f64 n f) (-.f64 (neg.f64 f) n))
(/.f64 (-.f64 f n) (+.f64 f n))
(/.f64 (neg.f64 (+.f64 n f)) (-.f64 n f))
(/.f64 (-.f64 (neg.f64 f) n) (-.f64 n f))
(/.f64 (+.f64 f n) (-.f64 f n))
Compiler

Compiled 56 to 20 computations (64.3% saved)

eval0.0ms (0%)

Compiler

Compiled 17 to 9 computations (47.1% saved)

prune1.0ms (0%)

Alt Table
Click to see full alt table
StatusAccuracyProgram
99.9%
(/.f64 (+.f64 f n) (-.f64 n f))
Compiler

Compiled 9 to 5 computations (44.4% saved)

localize28.0ms (0.5%)

Localize:

Found 1 expressions with local error:

NewAccuracyProgram
99.9%
(/.f64 (+.f64 f n) (-.f64 n f))
Compiler

Compiled 18 to 6 computations (66.7% saved)

series4.0ms (0.1%)

Counts
1 → 24
Calls

6 calls:

TimeVariablePointExpression
1.0ms
n
@-inf
(/.f64 (+.f64 f n) (-.f64 n f))
1.0ms
f
@inf
(/.f64 (+.f64 f n) (-.f64 n f))
1.0ms
f
@0
(/.f64 (+.f64 f n) (-.f64 n f))
1.0ms
f
@-inf
(/.f64 (+.f64 f n) (-.f64 n f))
0.0ms
n
@0
(/.f64 (+.f64 f n) (-.f64 n f))

rewrite250.0ms (4.4%)

Algorithm
batch-egg-rewrite
Rules
1516×prod-diff
789×log1p-expm1-u
789×expm1-log1p-u
688×log-prod
676×fma-def
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01031
113131
2207131
Stop Event
node limit
Counts
1 → 38
Calls
Call 1
Inputs
(/.f64 (+.f64 f n) (-.f64 n f))
Outputs
(+.f64 0 (/.f64 (+.f64 f n) (-.f64 n f)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (/.f64 (+.f64 f n) (-.f64 n f)))) (cbrt.f64 (exp.f64 (/.f64 (+.f64 f n) (-.f64 n f)))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (+.f64 f n) (-.f64 n f))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (+.f64 f n) (-.f64 n f))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (+.f64 f n) (-.f64 n f))))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (+.f64 f n) (-.f64 n f)))) 1)
(*.f64 (+.f64 f n) (/.f64 1 (-.f64 n f)))
(*.f64 (/.f64 (+.f64 f n) (-.f64 n f)) 1)
(*.f64 1 (/.f64 (+.f64 f n) (-.f64 n f)))
(*.f64 (cbrt.f64 (/.f64 (+.f64 f n) (-.f64 n f))) (pow.f64 (cbrt.f64 (/.f64 (+.f64 f n) (-.f64 n f))) 2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 f n) (-.f64 n f))) 2) (cbrt.f64 (/.f64 (+.f64 f n) (-.f64 n f))))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 f n)) 2) (*.f64 (cbrt.f64 (+.f64 f n)) (/.f64 1 (-.f64 n f))))
(*.f64 (sqrt.f64 (/.f64 (+.f64 f n) (-.f64 n f))) (sqrt.f64 (/.f64 (+.f64 f n) (-.f64 n f))))
(*.f64 (sqrt.f64 (+.f64 f n)) (*.f64 (sqrt.f64 (+.f64 f n)) (/.f64 1 (-.f64 n f))))
(*.f64 (neg.f64 (+.f64 f n)) (/.f64 1 (neg.f64 (-.f64 n f))))
(*.f64 (/.f64 1 (-.f64 n f)) (+.f64 f n))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (-.f64 n f)) 2)) (/.f64 (+.f64 f n) (cbrt.f64 (-.f64 n f))))
(*.f64 (/.f64 1 (sqrt.f64 (-.f64 n f))) (/.f64 (+.f64 f n) (sqrt.f64 (-.f64 n f))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 f n)) 2) 1) (/.f64 (cbrt.f64 (+.f64 f n)) (-.f64 n f)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 f n)) 2) (pow.f64 (cbrt.f64 (-.f64 n f)) 2)) (cbrt.f64 (/.f64 (+.f64 f n) (-.f64 n f))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 f n)) 2) (sqrt.f64 (-.f64 n f))) (/.f64 (cbrt.f64 (+.f64 f n)) (sqrt.f64 (-.f64 n f))))
(*.f64 (/.f64 (sqrt.f64 (+.f64 f n)) 1) (/.f64 (sqrt.f64 (+.f64 f n)) (-.f64 n f)))
(*.f64 (/.f64 (sqrt.f64 (+.f64 f n)) (pow.f64 (cbrt.f64 (-.f64 n f)) 2)) (/.f64 (sqrt.f64 (+.f64 f n)) (cbrt.f64 (-.f64 n f))))
(*.f64 (/.f64 (+.f64 f n) (-.f64 (pow.f64 n 2) (pow.f64 f 2))) (+.f64 f n))
(*.f64 (/.f64 (+.f64 f n) (-.f64 (pow.f64 n 3) (pow.f64 f 3))) (fma.f64 f (+.f64 f n) (pow.f64 n 2)))
(pow.f64 (/.f64 (+.f64 f n) (-.f64 n f)) 1)
(pow.f64 (cbrt.f64 (/.f64 (+.f64 f n) (-.f64 n f))) 3)
(pow.f64 (pow.f64 (/.f64 (+.f64 f n) (-.f64 n f)) 3) 1/3)
(pow.f64 (sqrt.f64 (/.f64 (+.f64 f n) (-.f64 n f))) 2)
(pow.f64 (/.f64 (-.f64 n f) (+.f64 f n)) -1)
(neg.f64 (/.f64 (+.f64 f n) (neg.f64 (-.f64 n f))))
(sqrt.f64 (pow.f64 (/.f64 (+.f64 f n) (-.f64 n f)) 2))
(log.f64 (exp.f64 (/.f64 (+.f64 f n) (-.f64 n f))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (+.f64 f n) (-.f64 n f)))))
(cbrt.f64 (pow.f64 (/.f64 (+.f64 f n) (-.f64 n f)) 3))
(cbrt.f64 (/.f64 (pow.f64 (+.f64 f n) 3) (pow.f64 (-.f64 n f) 3)))
(expm1.f64 (log1p.f64 (/.f64 (+.f64 f n) (-.f64 n f))))
(exp.f64 (log.f64 (/.f64 (+.f64 f n) (-.f64 n f))))
(exp.f64 (*.f64 (log.f64 (/.f64 (+.f64 f n) (-.f64 n f))) 1))
(log1p.f64 (expm1.f64 (/.f64 (+.f64 f n) (-.f64 n f))))

simplify59.0ms (1%)

Algorithm
egg-herbie
Rules
1948×fma-def
1616×times-frac
704×associate-*r/
594×distribute-lft-in
562×distribute-rgt-in
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01832876
15192616
218572278
Stop Event
node limit
Counts
62 → 83
Calls
Call 1
Inputs
1
(+.f64 1 (*.f64 2 (/.f64 f n)))
(+.f64 1 (+.f64 (*.f64 2 (/.f64 f n)) (*.f64 2 (/.f64 (pow.f64 f 2) (pow.f64 n 2)))))
(+.f64 1 (+.f64 (*.f64 2 (/.f64 f n)) (+.f64 (*.f64 2 (/.f64 (pow.f64 f 2) (pow.f64 n 2))) (*.f64 2 (/.f64 (pow.f64 f 3) (pow.f64 n 3))))))
-1
(-.f64 (*.f64 -1 (/.f64 n f)) (+.f64 1 (/.f64 n f)))
(-.f64 (+.f64 (*.f64 -1 (/.f64 n f)) (/.f64 (*.f64 n (-.f64 (*.f64 -1 n) n)) (pow.f64 f 2))) (+.f64 1 (/.f64 n f)))
(-.f64 (+.f64 (*.f64 -1 (/.f64 n f)) (+.f64 (/.f64 (*.f64 n (-.f64 (*.f64 -1 n) n)) (pow.f64 f 2)) (/.f64 (*.f64 (pow.f64 n 2) (-.f64 (*.f64 -1 n) n)) (pow.f64 f 3)))) (+.f64 1 (/.f64 n f)))
-1
(-.f64 (*.f64 -1 (/.f64 (-.f64 n (*.f64 -1 n)) f)) 1)
(-.f64 (+.f64 (*.f64 -1 (/.f64 (*.f64 n (-.f64 n (*.f64 -1 n))) (pow.f64 f 2))) (*.f64 -1 (/.f64 (-.f64 n (*.f64 -1 n)) f))) 1)
(-.f64 (+.f64 (*.f64 -1 (/.f64 (*.f64 n (-.f64 n (*.f64 -1 n))) (pow.f64 f 2))) (+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 n 2) (-.f64 n (*.f64 -1 n))) (pow.f64 f 3))) (*.f64 -1 (/.f64 (-.f64 n (*.f64 -1 n)) f)))) 1)
-1
(-.f64 (*.f64 -2 (/.f64 n f)) 1)
(-.f64 (+.f64 (*.f64 -2 (/.f64 n f)) (*.f64 -2 (/.f64 (pow.f64 n 2) (pow.f64 f 2)))) 1)
(-.f64 (+.f64 (*.f64 -2 (/.f64 n f)) (+.f64 (*.f64 -2 (/.f64 (pow.f64 n 2) (pow.f64 f 2))) (*.f64 -2 (/.f64 (pow.f64 n 3) (pow.f64 f 3))))) 1)
1
(-.f64 (+.f64 1 (/.f64 f n)) (*.f64 -1 (/.f64 f n)))
(-.f64 (+.f64 1 (+.f64 (/.f64 f n) (/.f64 (*.f64 f (-.f64 f (*.f64 -1 f))) (pow.f64 n 2)))) (*.f64 -1 (/.f64 f n)))
(-.f64 (+.f64 1 (+.f64 (/.f64 f n) (+.f64 (/.f64 (*.f64 f (-.f64 f (*.f64 -1 f))) (pow.f64 n 2)) (/.f64 (*.f64 (pow.f64 f 2) (-.f64 f (*.f64 -1 f))) (pow.f64 n 3))))) (*.f64 -1 (/.f64 f n)))
1
(-.f64 (+.f64 1 (/.f64 f n)) (*.f64 -1 (/.f64 f n)))
(-.f64 (+.f64 1 (+.f64 (/.f64 f n) (/.f64 (*.f64 f (-.f64 f (*.f64 -1 f))) (pow.f64 n 2)))) (*.f64 -1 (/.f64 f n)))
(-.f64 (+.f64 1 (+.f64 (/.f64 f n) (+.f64 (/.f64 (*.f64 f (-.f64 f (*.f64 -1 f))) (pow.f64 n 2)) (/.f64 (*.f64 (pow.f64 f 2) (-.f64 f (*.f64 -1 f))) (pow.f64 n 3))))) (*.f64 -1 (/.f64 f n)))
(+.f64 0 (/.f64 (+.f64 f n) (-.f64 n f)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (/.f64 (+.f64 f n) (-.f64 n f)))) (cbrt.f64 (exp.f64 (/.f64 (+.f64 f n) (-.f64 n f)))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (+.f64 f n) (-.f64 n f))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (+.f64 f n) (-.f64 n f))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (+.f64 f n) (-.f64 n f))))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (+.f64 f n) (-.f64 n f)))) 1)
(*.f64 (+.f64 f n) (/.f64 1 (-.f64 n f)))
(*.f64 (/.f64 (+.f64 f n) (-.f64 n f)) 1)
(*.f64 1 (/.f64 (+.f64 f n) (-.f64 n f)))
(*.f64 (cbrt.f64 (/.f64 (+.f64 f n) (-.f64 n f))) (pow.f64 (cbrt.f64 (/.f64 (+.f64 f n) (-.f64 n f))) 2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 f n) (-.f64 n f))) 2) (cbrt.f64 (/.f64 (+.f64 f n) (-.f64 n f))))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 f n)) 2) (*.f64 (cbrt.f64 (+.f64 f n)) (/.f64 1 (-.f64 n f))))
(*.f64 (sqrt.f64 (/.f64 (+.f64 f n) (-.f64 n f))) (sqrt.f64 (/.f64 (+.f64 f n) (-.f64 n f))))
(*.f64 (sqrt.f64 (+.f64 f n)) (*.f64 (sqrt.f64 (+.f64 f n)) (/.f64 1 (-.f64 n f))))
(*.f64 (neg.f64 (+.f64 f n)) (/.f64 1 (neg.f64 (-.f64 n f))))
(*.f64 (/.f64 1 (-.f64 n f)) (+.f64 f n))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (-.f64 n f)) 2)) (/.f64 (+.f64 f n) (cbrt.f64 (-.f64 n f))))
(*.f64 (/.f64 1 (sqrt.f64 (-.f64 n f))) (/.f64 (+.f64 f n) (sqrt.f64 (-.f64 n f))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 f n)) 2) 1) (/.f64 (cbrt.f64 (+.f64 f n)) (-.f64 n f)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 f n)) 2) (pow.f64 (cbrt.f64 (-.f64 n f)) 2)) (cbrt.f64 (/.f64 (+.f64 f n) (-.f64 n f))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 f n)) 2) (sqrt.f64 (-.f64 n f))) (/.f64 (cbrt.f64 (+.f64 f n)) (sqrt.f64 (-.f64 n f))))
(*.f64 (/.f64 (sqrt.f64 (+.f64 f n)) 1) (/.f64 (sqrt.f64 (+.f64 f n)) (-.f64 n f)))
(*.f64 (/.f64 (sqrt.f64 (+.f64 f n)) (pow.f64 (cbrt.f64 (-.f64 n f)) 2)) (/.f64 (sqrt.f64 (+.f64 f n)) (cbrt.f64 (-.f64 n f))))
(*.f64 (/.f64 (+.f64 f n) (-.f64 (pow.f64 n 2) (pow.f64 f 2))) (+.f64 f n))
(*.f64 (/.f64 (+.f64 f n) (-.f64 (pow.f64 n 3) (pow.f64 f 3))) (fma.f64 f (+.f64 f n) (pow.f64 n 2)))
(pow.f64 (/.f64 (+.f64 f n) (-.f64 n f)) 1)
(pow.f64 (cbrt.f64 (/.f64 (+.f64 f n) (-.f64 n f))) 3)
(pow.f64 (pow.f64 (/.f64 (+.f64 f n) (-.f64 n f)) 3) 1/3)
(pow.f64 (sqrt.f64 (/.f64 (+.f64 f n) (-.f64 n f))) 2)
(pow.f64 (/.f64 (-.f64 n f) (+.f64 f n)) -1)
(neg.f64 (/.f64 (+.f64 f n) (neg.f64 (-.f64 n f))))
(sqrt.f64 (pow.f64 (/.f64 (+.f64 f n) (-.f64 n f)) 2))
(log.f64 (exp.f64 (/.f64 (+.f64 f n) (-.f64 n f))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (+.f64 f n) (-.f64 n f)))))
(cbrt.f64 (pow.f64 (/.f64 (+.f64 f n) (-.f64 n f)) 3))
(cbrt.f64 (/.f64 (pow.f64 (+.f64 f n) 3) (pow.f64 (-.f64 n f) 3)))
(expm1.f64 (log1p.f64 (/.f64 (+.f64 f n) (-.f64 n f))))
(exp.f64 (log.f64 (/.f64 (+.f64 f n) (-.f64 n f))))
(exp.f64 (*.f64 (log.f64 (/.f64 (+.f64 f n) (-.f64 n f))) 1))
(log1p.f64 (expm1.f64 (/.f64 (+.f64 f n) (-.f64 n f))))
Outputs
1
(+.f64 1 (*.f64 2 (/.f64 f n)))
(fma.f64 2 (/.f64 f n) 1)
(+.f64 1 (+.f64 (*.f64 2 (/.f64 f n)) (*.f64 2 (/.f64 (pow.f64 f 2) (pow.f64 n 2)))))
(+.f64 1 (*.f64 2 (+.f64 (/.f64 f n) (/.f64 (pow.f64 f 2) (pow.f64 n 2)))))
(fma.f64 2 (+.f64 (/.f64 f n) (/.f64 (pow.f64 f 2) (pow.f64 n 2))) 1)
(fma.f64 2 (*.f64 (/.f64 f n) (+.f64 1 (/.f64 f n))) 1)
(+.f64 1 (+.f64 (*.f64 2 (/.f64 f n)) (+.f64 (*.f64 2 (/.f64 (pow.f64 f 2) (pow.f64 n 2))) (*.f64 2 (/.f64 (pow.f64 f 3) (pow.f64 n 3))))))
(+.f64 1 (fma.f64 2 (/.f64 f n) (*.f64 2 (+.f64 (/.f64 (pow.f64 f 2) (pow.f64 n 2)) (/.f64 (pow.f64 f 3) (pow.f64 n 3))))))
(+.f64 1 (*.f64 2 (+.f64 (/.f64 f n) (+.f64 (/.f64 (pow.f64 f 2) (pow.f64 n 2)) (/.f64 (pow.f64 f 3) (pow.f64 n 3))))))
(fma.f64 2 (+.f64 (*.f64 (/.f64 f n) (+.f64 1 (/.f64 f n))) (pow.f64 (/.f64 f n) 3)) 1)
-1
(-.f64 (*.f64 -1 (/.f64 n f)) (+.f64 1 (/.f64 n f)))
(-.f64 (/.f64 (neg.f64 n) f) (+.f64 1 (/.f64 n f)))
(-.f64 (fma.f64 -1 (/.f64 n f) -1) (/.f64 n f))
(fma.f64 (/.f64 n f) -2 -1)
(-.f64 (+.f64 (*.f64 -1 (/.f64 n f)) (/.f64 (*.f64 n (-.f64 (*.f64 -1 n) n)) (pow.f64 f 2))) (+.f64 1 (/.f64 n f)))
(-.f64 (fma.f64 -1 (/.f64 n f) (/.f64 (*.f64 n (-.f64 (neg.f64 n) n)) (pow.f64 f 2))) (+.f64 1 (/.f64 n f)))
(-.f64 (-.f64 (fma.f64 -2 (/.f64 (pow.f64 n 2) (pow.f64 f 2)) -1) (/.f64 n f)) (/.f64 n f))
(fma.f64 -2 (*.f64 (+.f64 1 (/.f64 n f)) (/.f64 n f)) -1)
(-.f64 (+.f64 (*.f64 -1 (/.f64 n f)) (+.f64 (/.f64 (*.f64 n (-.f64 (*.f64 -1 n) n)) (pow.f64 f 2)) (/.f64 (*.f64 (pow.f64 n 2) (-.f64 (*.f64 -1 n) n)) (pow.f64 f 3)))) (+.f64 1 (/.f64 n f)))
(-.f64 (+.f64 (fma.f64 -1 (/.f64 n f) (/.f64 (*.f64 n (-.f64 (neg.f64 n) n)) (pow.f64 f 2))) (/.f64 (pow.f64 n 2) (/.f64 (pow.f64 f 3) (-.f64 (neg.f64 n) n)))) (+.f64 1 (/.f64 n f)))
(-.f64 (-.f64 (fma.f64 -2 (+.f64 (/.f64 (pow.f64 n 2) (pow.f64 f 2)) (/.f64 (pow.f64 n 3) (pow.f64 f 3))) -1) (/.f64 n f)) (/.f64 n f))
(fma.f64 -2 (+.f64 (*.f64 (+.f64 1 (/.f64 n f)) (/.f64 n f)) (pow.f64 (/.f64 n f) 3)) -1)
-1
(-.f64 (*.f64 -1 (/.f64 (-.f64 n (*.f64 -1 n)) f)) 1)
(-.f64 (/.f64 (neg.f64 n) f) (+.f64 1 (/.f64 n f)))
(-.f64 (fma.f64 -1 (/.f64 n f) -1) (/.f64 n f))
(fma.f64 (/.f64 n f) -2 -1)
(-.f64 (+.f64 (*.f64 -1 (/.f64 (*.f64 n (-.f64 n (*.f64 -1 n))) (pow.f64 f 2))) (*.f64 -1 (/.f64 (-.f64 n (*.f64 -1 n)) f))) 1)
(-.f64 (fma.f64 -1 (/.f64 n f) (/.f64 (*.f64 n (-.f64 (neg.f64 n) n)) (pow.f64 f 2))) (+.f64 1 (/.f64 n f)))
(-.f64 (-.f64 (fma.f64 -2 (/.f64 (pow.f64 n 2) (pow.f64 f 2)) -1) (/.f64 n f)) (/.f64 n f))
(fma.f64 -2 (*.f64 (+.f64 1 (/.f64 n f)) (/.f64 n f)) -1)
(-.f64 (+.f64 (*.f64 -1 (/.f64 (*.f64 n (-.f64 n (*.f64 -1 n))) (pow.f64 f 2))) (+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 n 2) (-.f64 n (*.f64 -1 n))) (pow.f64 f 3))) (*.f64 -1 (/.f64 (-.f64 n (*.f64 -1 n)) f)))) 1)
(-.f64 (+.f64 (fma.f64 -1 (/.f64 n f) (/.f64 (*.f64 n (-.f64 (neg.f64 n) n)) (pow.f64 f 2))) (/.f64 (pow.f64 n 2) (/.f64 (pow.f64 f 3) (-.f64 (neg.f64 n) n)))) (+.f64 1 (/.f64 n f)))
(-.f64 (-.f64 (fma.f64 -2 (+.f64 (/.f64 (pow.f64 n 2) (pow.f64 f 2)) (/.f64 (pow.f64 n 3) (pow.f64 f 3))) -1) (/.f64 n f)) (/.f64 n f))
(fma.f64 -2 (+.f64 (*.f64 (+.f64 1 (/.f64 n f)) (/.f64 n f)) (pow.f64 (/.f64 n f) 3)) -1)
-1
(-.f64 (*.f64 -2 (/.f64 n f)) 1)
(-.f64 (/.f64 (neg.f64 n) f) (+.f64 1 (/.f64 n f)))
(-.f64 (fma.f64 -1 (/.f64 n f) -1) (/.f64 n f))
(fma.f64 (/.f64 n f) -2 -1)
(-.f64 (+.f64 (*.f64 -2 (/.f64 n f)) (*.f64 -2 (/.f64 (pow.f64 n 2) (pow.f64 f 2)))) 1)
(-.f64 (fma.f64 -1 (/.f64 n f) (/.f64 (*.f64 n (-.f64 (neg.f64 n) n)) (pow.f64 f 2))) (+.f64 1 (/.f64 n f)))
(-.f64 (-.f64 (fma.f64 -2 (/.f64 (pow.f64 n 2) (pow.f64 f 2)) -1) (/.f64 n f)) (/.f64 n f))
(fma.f64 -2 (*.f64 (+.f64 1 (/.f64 n f)) (/.f64 n f)) -1)
(-.f64 (+.f64 (*.f64 -2 (/.f64 n f)) (+.f64 (*.f64 -2 (/.f64 (pow.f64 n 2) (pow.f64 f 2))) (*.f64 -2 (/.f64 (pow.f64 n 3) (pow.f64 f 3))))) 1)
(-.f64 (+.f64 (fma.f64 -1 (/.f64 n f) (/.f64 (*.f64 n (-.f64 (neg.f64 n) n)) (pow.f64 f 2))) (/.f64 (pow.f64 n 2) (/.f64 (pow.f64 f 3) (-.f64 (neg.f64 n) n)))) (+.f64 1 (/.f64 n f)))
(-.f64 (-.f64 (fma.f64 -2 (+.f64 (/.f64 (pow.f64 n 2) (pow.f64 f 2)) (/.f64 (pow.f64 n 3) (pow.f64 f 3))) -1) (/.f64 n f)) (/.f64 n f))
(fma.f64 -2 (+.f64 (*.f64 (+.f64 1 (/.f64 n f)) (/.f64 n f)) (pow.f64 (/.f64 n f) 3)) -1)
1
(-.f64 (+.f64 1 (/.f64 f n)) (*.f64 -1 (/.f64 f n)))
(+.f64 1 (*.f64 2 (/.f64 f n)))
(fma.f64 2 (/.f64 f n) 1)
(-.f64 (+.f64 1 (+.f64 (/.f64 f n) (/.f64 (*.f64 f (-.f64 f (*.f64 -1 f))) (pow.f64 n 2)))) (*.f64 -1 (/.f64 f n)))
(+.f64 1 (*.f64 2 (+.f64 (/.f64 f n) (/.f64 (pow.f64 f 2) (pow.f64 n 2)))))
(fma.f64 2 (+.f64 (/.f64 f n) (/.f64 (pow.f64 f 2) (pow.f64 n 2))) 1)
(fma.f64 2 (*.f64 (/.f64 f n) (+.f64 1 (/.f64 f n))) 1)
(-.f64 (+.f64 1 (+.f64 (/.f64 f n) (+.f64 (/.f64 (*.f64 f (-.f64 f (*.f64 -1 f))) (pow.f64 n 2)) (/.f64 (*.f64 (pow.f64 f 2) (-.f64 f (*.f64 -1 f))) (pow.f64 n 3))))) (*.f64 -1 (/.f64 f n)))
(+.f64 1 (fma.f64 2 (/.f64 f n) (*.f64 2 (+.f64 (/.f64 (pow.f64 f 2) (pow.f64 n 2)) (/.f64 (pow.f64 f 3) (pow.f64 n 3))))))
(+.f64 1 (*.f64 2 (+.f64 (/.f64 f n) (+.f64 (/.f64 (pow.f64 f 2) (pow.f64 n 2)) (/.f64 (pow.f64 f 3) (pow.f64 n 3))))))
(fma.f64 2 (+.f64 (*.f64 (/.f64 f n) (+.f64 1 (/.f64 f n))) (pow.f64 (/.f64 f n) 3)) 1)
1
(-.f64 (+.f64 1 (/.f64 f n)) (*.f64 -1 (/.f64 f n)))
(+.f64 1 (*.f64 2 (/.f64 f n)))
(fma.f64 2 (/.f64 f n) 1)
(-.f64 (+.f64 1 (+.f64 (/.f64 f n) (/.f64 (*.f64 f (-.f64 f (*.f64 -1 f))) (pow.f64 n 2)))) (*.f64 -1 (/.f64 f n)))
(+.f64 1 (*.f64 2 (+.f64 (/.f64 f n) (/.f64 (pow.f64 f 2) (pow.f64 n 2)))))
(fma.f64 2 (+.f64 (/.f64 f n) (/.f64 (pow.f64 f 2) (pow.f64 n 2))) 1)
(fma.f64 2 (*.f64 (/.f64 f n) (+.f64 1 (/.f64 f n))) 1)
(-.f64 (+.f64 1 (+.f64 (/.f64 f n) (+.f64 (/.f64 (*.f64 f (-.f64 f (*.f64 -1 f))) (pow.f64 n 2)) (/.f64 (*.f64 (pow.f64 f 2) (-.f64 f (*.f64 -1 f))) (pow.f64 n 3))))) (*.f64 -1 (/.f64 f n)))
(+.f64 1 (fma.f64 2 (/.f64 f n) (*.f64 2 (+.f64 (/.f64 (pow.f64 f 2) (pow.f64 n 2)) (/.f64 (pow.f64 f 3) (pow.f64 n 3))))))
(+.f64 1 (*.f64 2 (+.f64 (/.f64 f n) (+.f64 (/.f64 (pow.f64 f 2) (pow.f64 n 2)) (/.f64 (pow.f64 f 3) (pow.f64 n 3))))))
(fma.f64 2 (+.f64 (*.f64 (/.f64 f n) (+.f64 1 (/.f64 f n))) (pow.f64 (/.f64 f n) 3)) 1)
(+.f64 0 (/.f64 (+.f64 f n) (-.f64 n f)))
(/.f64 (+.f64 f n) (-.f64 n f))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (/.f64 (+.f64 f n) (-.f64 n f)))) (cbrt.f64 (exp.f64 (/.f64 (+.f64 f n) (-.f64 n f)))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (+.f64 f n) (-.f64 n f))))))
(+.f64 (*.f64 2 (log.f64 (cbrt.f64 (exp.f64 (/.f64 (+.f64 f n) (-.f64 n f)))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (+.f64 f n) (-.f64 n f))))))
(*.f64 3 (log.f64 (cbrt.f64 (exp.f64 (/.f64 (+.f64 f n) (-.f64 n f))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (+.f64 f n) (-.f64 n f))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (+.f64 f n) (-.f64 n f))))))
(*.f64 2 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (+.f64 f n) (-.f64 n f))))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (+.f64 f n) (-.f64 n f)))) 1)
(/.f64 (+.f64 f n) (-.f64 n f))
(*.f64 (+.f64 f n) (/.f64 1 (-.f64 n f)))
(/.f64 (+.f64 f n) (-.f64 n f))
(*.f64 (/.f64 (+.f64 f n) (-.f64 n f)) 1)
(/.f64 (+.f64 f n) (-.f64 n f))
(*.f64 1 (/.f64 (+.f64 f n) (-.f64 n f)))
(/.f64 (+.f64 f n) (-.f64 n f))
(*.f64 (cbrt.f64 (/.f64 (+.f64 f n) (-.f64 n f))) (pow.f64 (cbrt.f64 (/.f64 (+.f64 f n) (-.f64 n f))) 2))
(/.f64 (+.f64 f n) (-.f64 n f))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 f n) (-.f64 n f))) 2) (cbrt.f64 (/.f64 (+.f64 f n) (-.f64 n f))))
(/.f64 (+.f64 f n) (-.f64 n f))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 f n)) 2) (*.f64 (cbrt.f64 (+.f64 f n)) (/.f64 1 (-.f64 n f))))
(/.f64 (+.f64 f n) (-.f64 n f))
(*.f64 (sqrt.f64 (/.f64 (+.f64 f n) (-.f64 n f))) (sqrt.f64 (/.f64 (+.f64 f n) (-.f64 n f))))
(/.f64 (+.f64 f n) (-.f64 n f))
(*.f64 (sqrt.f64 (+.f64 f n)) (*.f64 (sqrt.f64 (+.f64 f n)) (/.f64 1 (-.f64 n f))))
(/.f64 (+.f64 f n) (-.f64 n f))
(*.f64 (neg.f64 (+.f64 f n)) (/.f64 1 (neg.f64 (-.f64 n f))))
(/.f64 (+.f64 f n) (-.f64 n f))
(*.f64 (/.f64 1 (-.f64 n f)) (+.f64 f n))
(/.f64 (+.f64 f n) (-.f64 n f))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (-.f64 n f)) 2)) (/.f64 (+.f64 f n) (cbrt.f64 (-.f64 n f))))
(/.f64 (/.f64 (+.f64 f n) (cbrt.f64 (-.f64 n f))) (pow.f64 (cbrt.f64 (-.f64 n f)) 2))
(*.f64 (/.f64 1 (sqrt.f64 (-.f64 n f))) (/.f64 (+.f64 f n) (sqrt.f64 (-.f64 n f))))
(/.f64 (/.f64 (+.f64 f n) (sqrt.f64 (-.f64 n f))) (sqrt.f64 (-.f64 n f)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 f n)) 2) 1) (/.f64 (cbrt.f64 (+.f64 f n)) (-.f64 n f)))
(/.f64 (+.f64 f n) (-.f64 n f))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 f n)) 2) (pow.f64 (cbrt.f64 (-.f64 n f)) 2)) (cbrt.f64 (/.f64 (+.f64 f n) (-.f64 n f))))
(*.f64 (cbrt.f64 (/.f64 (+.f64 f n) (-.f64 n f))) (/.f64 (pow.f64 (cbrt.f64 (+.f64 f n)) 2) (pow.f64 (cbrt.f64 (-.f64 n f)) 2)))
(/.f64 (pow.f64 (cbrt.f64 (+.f64 f n)) 2) (/.f64 (pow.f64 (cbrt.f64 (-.f64 n f)) 2) (cbrt.f64 (/.f64 (+.f64 f n) (-.f64 n f)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 f n)) 2) (sqrt.f64 (-.f64 n f))) (/.f64 (cbrt.f64 (+.f64 f n)) (sqrt.f64 (-.f64 n f))))
(*.f64 (/.f64 1 (sqrt.f64 (-.f64 n f))) (/.f64 (+.f64 f n) (sqrt.f64 (-.f64 n f))))
(/.f64 (/.f64 (+.f64 f n) (sqrt.f64 (-.f64 n f))) (sqrt.f64 (-.f64 n f)))
(*.f64 (/.f64 (sqrt.f64 (+.f64 f n)) 1) (/.f64 (sqrt.f64 (+.f64 f n)) (-.f64 n f)))
(/.f64 (+.f64 f n) (-.f64 n f))
(*.f64 (/.f64 (sqrt.f64 (+.f64 f n)) (pow.f64 (cbrt.f64 (-.f64 n f)) 2)) (/.f64 (sqrt.f64 (+.f64 f n)) (cbrt.f64 (-.f64 n f))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (-.f64 n f)) 2)) (/.f64 (+.f64 f n) (cbrt.f64 (-.f64 n f))))
(/.f64 (/.f64 (+.f64 f n) (cbrt.f64 (-.f64 n f))) (pow.f64 (cbrt.f64 (-.f64 n f)) 2))
(*.f64 (/.f64 (+.f64 f n) (-.f64 (pow.f64 n 2) (pow.f64 f 2))) (+.f64 f n))
(*.f64 (+.f64 f n) (/.f64 (+.f64 f n) (-.f64 (pow.f64 n 2) (pow.f64 f 2))))
(/.f64 (*.f64 (+.f64 f n) (+.f64 f n)) (-.f64 (pow.f64 n 2) (pow.f64 f 2)))
(/.f64 (pow.f64 (cbrt.f64 (+.f64 f n)) 6) (-.f64 (pow.f64 n 2) (pow.f64 f 2)))
(*.f64 (/.f64 (+.f64 f n) (-.f64 (pow.f64 n 3) (pow.f64 f 3))) (fma.f64 f (+.f64 f n) (pow.f64 n 2)))
(/.f64 (+.f64 f n) (/.f64 (-.f64 (pow.f64 n 3) (pow.f64 f 3)) (fma.f64 f (+.f64 f n) (pow.f64 n 2))))
(pow.f64 (/.f64 (+.f64 f n) (-.f64 n f)) 1)
(/.f64 (+.f64 f n) (-.f64 n f))
(pow.f64 (cbrt.f64 (/.f64 (+.f64 f n) (-.f64 n f))) 3)
(/.f64 (+.f64 f n) (-.f64 n f))
(pow.f64 (pow.f64 (/.f64 (+.f64 f n) (-.f64 n f)) 3) 1/3)
(/.f64 (+.f64 f n) (-.f64 n f))
(pow.f64 (sqrt.f64 (/.f64 (+.f64 f n) (-.f64 n f))) 2)
(/.f64 (+.f64 f n) (-.f64 n f))
(pow.f64 (/.f64 (-.f64 n f) (+.f64 f n)) -1)
(/.f64 (+.f64 f n) (-.f64 n f))
(neg.f64 (/.f64 (+.f64 f n) (neg.f64 (-.f64 n f))))
(/.f64 (+.f64 f n) (-.f64 n f))
(sqrt.f64 (pow.f64 (/.f64 (+.f64 f n) (-.f64 n f)) 2))
(/.f64 (+.f64 f n) (-.f64 n f))
(log.f64 (exp.f64 (/.f64 (+.f64 f n) (-.f64 n f))))
(/.f64 (+.f64 f n) (-.f64 n f))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (+.f64 f n) (-.f64 n f)))))
(/.f64 (+.f64 f n) (-.f64 n f))
(cbrt.f64 (pow.f64 (/.f64 (+.f64 f n) (-.f64 n f)) 3))
(/.f64 (+.f64 f n) (-.f64 n f))
(cbrt.f64 (/.f64 (pow.f64 (+.f64 f n) 3) (pow.f64 (-.f64 n f) 3)))
(/.f64 (+.f64 f n) (-.f64 n f))
(expm1.f64 (log1p.f64 (/.f64 (+.f64 f n) (-.f64 n f))))
(/.f64 (+.f64 f n) (-.f64 n f))
(exp.f64 (log.f64 (/.f64 (+.f64 f n) (-.f64 n f))))
(/.f64 (+.f64 f n) (-.f64 n f))
(exp.f64 (*.f64 (log.f64 (/.f64 (+.f64 f n) (-.f64 n f))) 1))
(/.f64 (+.f64 f n) (-.f64 n f))
(log1p.f64 (expm1.f64 (/.f64 (+.f64 f n) (-.f64 n f))))
(/.f64 (+.f64 f n) (-.f64 n f))

eval19.0ms (0.3%)

Compiler

Compiled 1299 to 567 computations (56.4% saved)

prune67.0ms (1.2%)

Pruning

8 alts after pruning (7 fresh and 1 done)

PrunedKeptTotal
New76783
Fresh000
Picked011
Done000
Total76884
Accuracy
100.0%
Counts
84 → 8
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.9%
(pow.f64 (/.f64 (-.f64 n f) (+.f64 f n)) -1)
99.9%
(/.f64 (+.f64 f n) (-.f64 n f))
46.7%
(-.f64 (*.f64 -2 (/.f64 n f)) 1)
54.4%
(+.f64 1 (*.f64 2 (/.f64 f n)))
99.7%
(*.f64 (/.f64 1 (-.f64 n f)) (+.f64 f n))
100.0%
(cbrt.f64 (pow.f64 (/.f64 (+.f64 f n) (-.f64 n f)) 3))
52.7%
1
45.5%
-1
Compiler

Compiled 125 to 89 computations (28.8% saved)

localize230.0ms (4.1%)

Localize:

Found 5 expressions with local error:

NewAccuracyProgram
100.0%
(*.f64 -2 (/.f64 n f))
100.0%
(*.f64 2 (/.f64 f n))
100.0%
(cbrt.f64 (pow.f64 (/.f64 (+.f64 f n) (-.f64 n f)) 3))
99.9%
(/.f64 (+.f64 f n) (-.f64 n f))
99.9%
(pow.f64 (/.f64 (+.f64 f n) (-.f64 n f)) 3)
Compiler

Compiled 78 to 32 computations (59% saved)

series17.0ms (0.3%)

Counts
4 → 48
Calls

24 calls:

TimeVariablePointExpression
2.0ms
n
@inf
(pow.f64 (/.f64 (+.f64 f n) (-.f64 n f)) 3)
1.0ms
n
@0
(*.f64 2 (/.f64 f n))
1.0ms
f
@inf
(pow.f64 (/.f64 (+.f64 f n) (-.f64 n f)) 3)
1.0ms
f
@-inf
(pow.f64 (/.f64 (+.f64 f n) (-.f64 n f)) 3)
1.0ms
n
@-inf
(pow.f64 (/.f64 (+.f64 f n) (-.f64 n f)) 3)

rewrite182.0ms (3.2%)

Algorithm
batch-egg-rewrite
Rules
1552×prod-diff
890×log1p-expm1-u
428×expm1-udef
428×log1p-udef
390×expm1-log1p-u
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
020106
1268106
23760106
Stop Event
node limit
Counts
4 → 135
Calls
Call 1
Inputs
(pow.f64 (/.f64 (+.f64 f n) (-.f64 n f)) 3)
(cbrt.f64 (pow.f64 (/.f64 (+.f64 f n) (-.f64 n f)) 3))
(*.f64 2 (/.f64 f n))
(*.f64 -2 (/.f64 n f))
Outputs
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (/.f64 (+.f64 f n) (-.f64 n f)) 3))) 1)
(*.f64 (+.f64 f n) (*.f64 (/.f64 1 (-.f64 n f)) (pow.f64 (/.f64 (+.f64 f n) (-.f64 n f)) 2)))
(*.f64 (/.f64 (+.f64 f n) (-.f64 n f)) (pow.f64 (/.f64 (+.f64 f n) (-.f64 n f)) 2))
(*.f64 (pow.f64 (/.f64 (+.f64 f n) (-.f64 n f)) 3) 1)
(*.f64 (pow.f64 (/.f64 (+.f64 f n) (-.f64 n f)) 2) (/.f64 (+.f64 f n) (-.f64 n f)))
(*.f64 1 (pow.f64 (/.f64 (+.f64 f n) (-.f64 n f)) 3))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 f n) (-.f64 n f))) 2) (*.f64 (cbrt.f64 (/.f64 (+.f64 f n) (-.f64 n f))) (pow.f64 (/.f64 (+.f64 f n) (-.f64 n f)) 2)))
(*.f64 (pow.f64 (+.f64 f n) 3) (pow.f64 (/.f64 1 (-.f64 n f)) 3))
(*.f64 (pow.f64 (+.f64 f n) 3) (/.f64 1 (pow.f64 (-.f64 n f) 3)))
(*.f64 (sqrt.f64 (/.f64 (+.f64 f n) (-.f64 n f))) (*.f64 (sqrt.f64 (/.f64 (+.f64 f n) (-.f64 n f))) (pow.f64 (/.f64 (+.f64 f n) (-.f64 n f)) 2)))
(*.f64 (pow.f64 (/.f64 (+.f64 f n) (-.f64 n f)) 3/2) (pow.f64 (/.f64 (+.f64 f n) (-.f64 n f)) 3/2))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 f n) (-.f64 n f))) 2) 3) (/.f64 (+.f64 f n) (-.f64 n f)))
(*.f64 (pow.f64 (sqrt.f64 (/.f64 (+.f64 f n) (-.f64 n f))) 3) (pow.f64 (sqrt.f64 (/.f64 (+.f64 f n) (-.f64 n f))) 3))
(*.f64 (*.f64 (pow.f64 (/.f64 (+.f64 f n) (-.f64 n f)) 2) (+.f64 f n)) (/.f64 1 (-.f64 n f)))
(*.f64 (*.f64 (pow.f64 (/.f64 (+.f64 f n) (-.f64 n f)) 2) 1) (/.f64 (+.f64 f n) (-.f64 n f)))
(*.f64 (*.f64 (pow.f64 (/.f64 (+.f64 f n) (-.f64 n f)) 2) (pow.f64 (cbrt.f64 (/.f64 (+.f64 f n) (-.f64 n f))) 2)) (cbrt.f64 (/.f64 (+.f64 f n) (-.f64 n f))))
(*.f64 (*.f64 (pow.f64 (/.f64 (+.f64 f n) (-.f64 n f)) 2) (sqrt.f64 (/.f64 (+.f64 f n) (-.f64 n f)))) (sqrt.f64 (/.f64 (+.f64 f n) (-.f64 n f))))
(/.f64 (pow.f64 (/.f64 (+.f64 f n) (-.f64 n f)) 2) (/.f64 (-.f64 n f) (+.f64 f n)))
(/.f64 1 (/.f64 (pow.f64 (-.f64 n f) 3) (pow.f64 (+.f64 f n) 3)))
(/.f64 1 (pow.f64 (/.f64 (-.f64 n f) (+.f64 f n)) 3))
(/.f64 (pow.f64 (+.f64 f n) 3) (pow.f64 (-.f64 n f) 3))
(/.f64 (pow.f64 (neg.f64 (+.f64 f n)) 3) (pow.f64 (neg.f64 (-.f64 n f)) 3))
(/.f64 (neg.f64 (pow.f64 (+.f64 f n) 3)) (neg.f64 (pow.f64 (-.f64 n f) 3)))
(/.f64 (*.f64 (pow.f64 (/.f64 (+.f64 f n) (-.f64 n f)) 2) (+.f64 f n)) (-.f64 n f))
(/.f64 (*.f64 (pow.f64 (/.f64 (+.f64 f n) (-.f64 n f)) 2) 1) (/.f64 (-.f64 n f) (+.f64 f n)))
(/.f64 (*.f64 (pow.f64 (/.f64 (+.f64 f n) (-.f64 n f)) 2) (neg.f64 (+.f64 f n))) (neg.f64 (-.f64 n f)))
(/.f64 (*.f64 (+.f64 f n) (pow.f64 (/.f64 (+.f64 f n) (-.f64 n f)) 2)) (-.f64 n f))
(/.f64 (*.f64 (neg.f64 (+.f64 f n)) (pow.f64 (/.f64 (+.f64 f n) (-.f64 n f)) 2)) (neg.f64 (-.f64 n f)))
(sqrt.f64 (pow.f64 (/.f64 (+.f64 f n) (-.f64 n f)) 6))
(log.f64 (exp.f64 (pow.f64 (/.f64 (+.f64 f n) (-.f64 n f)) 3)))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (/.f64 (+.f64 f n) (-.f64 n f)) 3))))
(cbrt.f64 (pow.f64 (pow.f64 (/.f64 (+.f64 f n) (-.f64 n f)) 3) 3))
(expm1.f64 (log1p.f64 (pow.f64 (/.f64 (+.f64 f n) (-.f64 n f)) 3)))
(exp.f64 (*.f64 3 (log.f64 (/.f64 (+.f64 f n) (-.f64 n f)))))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (/.f64 (+.f64 f n) (-.f64 n f)))) 1))
(log1p.f64 (expm1.f64 (pow.f64 (/.f64 (+.f64 f n) (-.f64 n f)) 3)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (+.f64 f n) (-.f64 n f)))) 1)
(*.f64 (+.f64 f n) (/.f64 1 (-.f64 n f)))
(*.f64 (/.f64 (+.f64 f n) (-.f64 n f)) 1)
(*.f64 1 (/.f64 (+.f64 f n) (-.f64 n f)))
(*.f64 (cbrt.f64 (/.f64 (+.f64 f n) (-.f64 n f))) (pow.f64 (cbrt.f64 (/.f64 (+.f64 f n) (-.f64 n f))) 2))
(*.f64 (cbrt.f64 (/.f64 (+.f64 f n) (-.f64 n f))) (pow.f64 (pow.f64 (/.f64 (+.f64 f n) (-.f64 n f)) 2) 1/3))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 f n) (-.f64 n f))) 2) (cbrt.f64 (/.f64 (+.f64 f n) (-.f64 n f))))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 f n)) 2) (*.f64 (cbrt.f64 (+.f64 f n)) (/.f64 1 (-.f64 n f))))
(*.f64 (sqrt.f64 (/.f64 (+.f64 f n) (-.f64 n f))) (sqrt.f64 (/.f64 (+.f64 f n) (-.f64 n f))))
(*.f64 (sqrt.f64 (+.f64 f n)) (*.f64 (sqrt.f64 (+.f64 f n)) (/.f64 1 (-.f64 n f))))
(*.f64 (neg.f64 (+.f64 f n)) (/.f64 1 (neg.f64 (-.f64 n f))))
(*.f64 (/.f64 1 (-.f64 n f)) (+.f64 f n))
(*.f64 (pow.f64 (pow.f64 (/.f64 (+.f64 f n) (-.f64 n f)) 2) 1/3) (cbrt.f64 (/.f64 (+.f64 f n) (-.f64 n f))))
(*.f64 (pow.f64 1 1/3) (/.f64 (+.f64 f n) (-.f64 n f)))
(*.f64 (pow.f64 (pow.f64 (/.f64 (+.f64 f n) (-.f64 n f)) 3/2) 1/3) (pow.f64 (pow.f64 (/.f64 (+.f64 f n) (-.f64 n f)) 3/2) 1/3))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (-.f64 n f)) 2)) (/.f64 (+.f64 f n) (cbrt.f64 (-.f64 n f))))
(*.f64 (/.f64 1 (sqrt.f64 (-.f64 n f))) (/.f64 (+.f64 f n) (sqrt.f64 (-.f64 n f))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 f n)) 2) 1) (/.f64 (cbrt.f64 (+.f64 f n)) (-.f64 n f)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 f n)) 2) (pow.f64 (cbrt.f64 (-.f64 n f)) 2)) (cbrt.f64 (/.f64 (+.f64 f n) (-.f64 n f))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 f n)) 2) (sqrt.f64 (-.f64 n f))) (/.f64 (cbrt.f64 (+.f64 f n)) (sqrt.f64 (-.f64 n f))))
(*.f64 (/.f64 (sqrt.f64 (+.f64 f n)) 1) (/.f64 (sqrt.f64 (+.f64 f n)) (-.f64 n f)))
(*.f64 (/.f64 (sqrt.f64 (+.f64 f n)) (pow.f64 (cbrt.f64 (-.f64 n f)) 2)) (/.f64 (sqrt.f64 (+.f64 f n)) (cbrt.f64 (-.f64 n f))))
(*.f64 (/.f64 (+.f64 f n) (-.f64 (pow.f64 n 2) (pow.f64 f 2))) (+.f64 f n))
(*.f64 (/.f64 (+.f64 f n) (-.f64 (pow.f64 n 3) (pow.f64 f 3))) (fma.f64 n n (*.f64 f (+.f64 f n))))
(/.f64 (+.f64 f n) (-.f64 n f))
(/.f64 1 (/.f64 (-.f64 n f) (+.f64 f n)))
(/.f64 1 (/.f64 (/.f64 (-.f64 n f) (+.f64 f n)) 1))
(/.f64 (pow.f64 (cbrt.f64 (+.f64 f n)) 2) (/.f64 (-.f64 n f) (cbrt.f64 (+.f64 f n))))
(/.f64 (sqrt.f64 (+.f64 f n)) (/.f64 (-.f64 n f) (sqrt.f64 (+.f64 f n))))
(/.f64 (neg.f64 (+.f64 f n)) (neg.f64 (-.f64 n f)))
(/.f64 (+.f64 (pow.f64 f 3) (pow.f64 n 3)) (*.f64 (-.f64 n f) (fma.f64 f f (*.f64 n (-.f64 n f)))))
(/.f64 (-.f64 (pow.f64 f 2) (pow.f64 n 2)) (*.f64 (-.f64 n f) (-.f64 f n)))
(/.f64 -1 (neg.f64 (/.f64 (-.f64 n f) (+.f64 f n))))
(/.f64 (*.f64 (+.f64 (pow.f64 f 3) (pow.f64 n 3)) 1) (*.f64 (fma.f64 f f (*.f64 n (-.f64 n f))) (-.f64 n f)))
(/.f64 (*.f64 (-.f64 (pow.f64 f 2) (pow.f64 n 2)) 1) (*.f64 (-.f64 f n) (-.f64 n f)))
(/.f64 (neg.f64 (neg.f64 (+.f64 f n))) (neg.f64 (neg.f64 (-.f64 n f))))
(/.f64 (/.f64 (+.f64 f n) (sqrt.f64 (-.f64 n f))) (sqrt.f64 (-.f64 n f)))
(/.f64 (*.f64 (+.f64 (pow.f64 f 3) (pow.f64 n 3)) (/.f64 1 (-.f64 n f))) (fma.f64 f f (*.f64 n (-.f64 n f))))
(/.f64 (*.f64 (-.f64 (pow.f64 f 2) (pow.f64 n 2)) (/.f64 1 (-.f64 n f))) (-.f64 f n))
(/.f64 (/.f64 (+.f64 f n) 1) (-.f64 n f))
(/.f64 (/.f64 (+.f64 f n) (pow.f64 (cbrt.f64 (-.f64 n f)) 2)) (cbrt.f64 (-.f64 n f)))
(pow.f64 (/.f64 (+.f64 f n) (-.f64 n f)) 1)
(pow.f64 (pow.f64 (/.f64 (+.f64 f n) (-.f64 n f)) 3) 1/3)
(pow.f64 (cbrt.f64 (/.f64 (+.f64 f n) (-.f64 n f))) 3)
(pow.f64 (sqrt.f64 (/.f64 (+.f64 f n) (-.f64 n f))) 2)
(pow.f64 (/.f64 (-.f64 n f) (+.f64 f n)) -1)
(neg.f64 (/.f64 (+.f64 f n) (neg.f64 (-.f64 n f))))
(sqrt.f64 (pow.f64 (/.f64 (+.f64 f n) (-.f64 n f)) 2))
(log.f64 (exp.f64 (/.f64 (+.f64 f n) (-.f64 n f))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (+.f64 f n) (-.f64 n f)))))
(expm1.f64 (log1p.f64 (/.f64 (+.f64 f n) (-.f64 n f))))
(exp.f64 (log.f64 (/.f64 (+.f64 f n) (-.f64 n f))))
(exp.f64 (*.f64 (log.f64 (/.f64 (+.f64 f n) (-.f64 n f))) 1))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (/.f64 (+.f64 f n) (-.f64 n f)))) 1/3))
(log1p.f64 (expm1.f64 (/.f64 (+.f64 f n) (-.f64 n f))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 2 (/.f64 f n)))) 1)
(/.f64 2 (/.f64 n f))
(/.f64 1 (/.f64 n (*.f64 f 2)))
(/.f64 (*.f64 f 2) n)
(/.f64 (neg.f64 (*.f64 f 2)) (neg.f64 n))
(/.f64 (*.f64 2 (neg.f64 f)) (neg.f64 n))
(/.f64 (*.f64 (neg.f64 f) 2) (neg.f64 n))
(/.f64 (/.f64 (*.f64 f 2) 1) n)
(/.f64 (/.f64 (*.f64 f 2) (pow.f64 (cbrt.f64 n) 2)) (cbrt.f64 n))
(/.f64 (/.f64 (*.f64 f 2) (sqrt.f64 n)) (sqrt.f64 n))
(pow.f64 (*.f64 2 (/.f64 f n)) 1)
(pow.f64 (cbrt.f64 (*.f64 2 (/.f64 f n))) 3)
(pow.f64 (pow.f64 (*.f64 2 (/.f64 f n)) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 2 (/.f64 f n))) 2)
(sqrt.f64 (pow.f64 (*.f64 2 (/.f64 f n)) 2))
(log.f64 (pow.f64 (exp.f64 2) (/.f64 f n)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 2 (/.f64 f n)))))
(cbrt.f64 (pow.f64 (*.f64 2 (/.f64 f n)) 3))
(expm1.f64 (log1p.f64 (*.f64 2 (/.f64 f n))))
(exp.f64 (log.f64 (*.f64 2 (/.f64 f n))))
(exp.f64 (*.f64 (log.f64 (*.f64 2 (/.f64 f n))) 1))
(log1p.f64 (expm1.f64 (*.f64 2 (/.f64 f n))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 -2 (/.f64 n f)))) 1)
(/.f64 -2 (/.f64 f n))
(/.f64 1 (/.f64 f (*.f64 n -2)))
(/.f64 (*.f64 n -2) f)
(/.f64 (neg.f64 (*.f64 n -2)) (neg.f64 f))
(/.f64 (*.f64 -2 (neg.f64 n)) (neg.f64 f))
(/.f64 (*.f64 (neg.f64 n) -2) (neg.f64 f))
(/.f64 (/.f64 (*.f64 n -2) 1) f)
(/.f64 (/.f64 (*.f64 n -2) (pow.f64 (cbrt.f64 f) 2)) (cbrt.f64 f))
(/.f64 (/.f64 (*.f64 n -2) (sqrt.f64 f)) (sqrt.f64 f))
(pow.f64 (*.f64 -2 (/.f64 n f)) 1)
(pow.f64 (cbrt.f64 (*.f64 -2 (/.f64 n f))) 3)
(pow.f64 (pow.f64 (*.f64 -2 (/.f64 n f)) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 -2 (/.f64 n f))) 2)
(sqrt.f64 (pow.f64 (*.f64 -2 (/.f64 n f)) 2))
(log.f64 (pow.f64 (exp.f64 (/.f64 n f)) -2))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 -2 (/.f64 n f)))))
(cbrt.f64 (pow.f64 (*.f64 -2 (/.f64 n f)) 3))
(expm1.f64 (log1p.f64 (*.f64 -2 (/.f64 n f))))
(exp.f64 (log.f64 (*.f64 -2 (/.f64 n f))))
(exp.f64 (*.f64 (log.f64 (*.f64 -2 (/.f64 n f))) 1))
(log1p.f64 (expm1.f64 (*.f64 -2 (/.f64 n f))))

simplify157.0ms (2.8%)

Algorithm
egg-herbie
Rules
996×fma-neg
790×fma-def
600×times-frac
542×log-prod
512×associate-*r*
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
05529646
116568095
272728077
Stop Event
node limit
Counts
183 → 262
Calls
Call 1
Inputs
1
(+.f64 1 (*.f64 6 (/.f64 f n)))
(+.f64 1 (+.f64 (*.f64 6 (/.f64 f n)) (*.f64 18 (/.f64 (pow.f64 f 2) (pow.f64 n 2)))))
(+.f64 1 (+.f64 (*.f64 6 (/.f64 f n)) (+.f64 (*.f64 18 (/.f64 (pow.f64 f 2) (pow.f64 n 2))) (*.f64 38 (/.f64 (pow.f64 f 3) (pow.f64 n 3))))))
-1
(-.f64 (+.f64 (*.f64 -1 (/.f64 n f)) (*.f64 2 (/.f64 (-.f64 (*.f64 -1 n) n) f))) (+.f64 1 (/.f64 n f)))
(-.f64 (+.f64 (*.f64 -2 (/.f64 (pow.f64 (-.f64 (*.f64 -1 n) n) 2) (pow.f64 f 2))) (+.f64 (*.f64 -1 (/.f64 n f)) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -2 (*.f64 n (-.f64 (*.f64 -1 n) n))) (pow.f64 (-.f64 (*.f64 -1 n) n) 2)) (pow.f64 f 2))) (+.f64 (*.f64 2 (/.f64 (-.f64 (*.f64 -1 n) n) f)) (/.f64 (*.f64 n (-.f64 (*.f64 -1 n) n)) (pow.f64 f 2)))))) (+.f64 1 (/.f64 n f)))
(-.f64 (+.f64 (*.f64 -2 (/.f64 (*.f64 n (pow.f64 (-.f64 (*.f64 -1 n) n) 2)) (pow.f64 f 3))) (+.f64 (*.f64 -2 (/.f64 (pow.f64 (-.f64 (*.f64 -1 n) n) 2) (pow.f64 f 2))) (+.f64 (*.f64 -1 (/.f64 n f)) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -2 (*.f64 n (-.f64 (*.f64 -1 n) n))) (pow.f64 (-.f64 (*.f64 -1 n) n) 2)) (pow.f64 f 2))) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -2 (*.f64 (pow.f64 n 2) (-.f64 (*.f64 -1 n) n))) (*.f64 2 (*.f64 n (pow.f64 (-.f64 (*.f64 -1 n) n) 2)))) (pow.f64 f 3))) (+.f64 (*.f64 2 (/.f64 (-.f64 (*.f64 -1 n) n) f)) (+.f64 (/.f64 (*.f64 n (-.f64 (*.f64 -1 n) n)) (pow.f64 f 2)) (+.f64 (/.f64 (*.f64 (+.f64 (*.f64 -2 (*.f64 n (-.f64 (*.f64 -1 n) n))) (pow.f64 (-.f64 (*.f64 -1 n) n) 2)) (-.f64 (*.f64 -1 n) n)) (pow.f64 f 3)) (/.f64 (*.f64 (pow.f64 n 2) (-.f64 (*.f64 -1 n) n)) (pow.f64 f 3)))))))))) (+.f64 1 (/.f64 n f)))
-1
(-.f64 (*.f64 -1 (/.f64 (-.f64 (+.f64 n (*.f64 2 (-.f64 n (*.f64 -1 n)))) (*.f64 -1 n)) f)) 1)
(-.f64 (+.f64 (*.f64 -2 (/.f64 (pow.f64 (-.f64 n (*.f64 -1 n)) 2) (pow.f64 f 2))) (+.f64 (*.f64 -1 (/.f64 (*.f64 n (-.f64 n (*.f64 -1 n))) (pow.f64 f 2))) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 2 (*.f64 n (-.f64 n (*.f64 -1 n)))) (pow.f64 (-.f64 n (*.f64 -1 n)) 2)) (pow.f64 f 2))) (*.f64 -1 (/.f64 (-.f64 (+.f64 n (*.f64 2 (-.f64 n (*.f64 -1 n)))) (*.f64 -1 n)) f))))) 1)
(-.f64 (+.f64 (*.f64 -2 (/.f64 (pow.f64 (-.f64 n (*.f64 -1 n)) 2) (pow.f64 f 2))) (+.f64 (*.f64 -1 (/.f64 (*.f64 n (-.f64 n (*.f64 -1 n))) (pow.f64 f 2))) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 (+.f64 (*.f64 -2 (*.f64 n (pow.f64 (-.f64 n (*.f64 -1 n)) 2))) (*.f64 -2 (*.f64 (pow.f64 n 2) (-.f64 n (*.f64 -1 n)))))) (+.f64 (*.f64 2 (*.f64 n (pow.f64 (-.f64 n (*.f64 -1 n)) 2))) (+.f64 (*.f64 (+.f64 (*.f64 2 (*.f64 n (-.f64 n (*.f64 -1 n)))) (pow.f64 (-.f64 n (*.f64 -1 n)) 2)) (-.f64 n (*.f64 -1 n))) (*.f64 (pow.f64 n 2) (-.f64 n (*.f64 -1 n)))))) (pow.f64 f 3))) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 2 (*.f64 n (-.f64 n (*.f64 -1 n)))) (pow.f64 (-.f64 n (*.f64 -1 n)) 2)) (pow.f64 f 2))) (*.f64 -1 (/.f64 (-.f64 (+.f64 n (*.f64 2 (-.f64 n (*.f64 -1 n)))) (*.f64 -1 n)) f)))))) 1)
-1
(-.f64 (*.f64 -6 (/.f64 n f)) 1)
(-.f64 (+.f64 (*.f64 -18 (/.f64 (pow.f64 n 2) (pow.f64 f 2))) (*.f64 -6 (/.f64 n f))) 1)
(-.f64 (+.f64 (*.f64 -38 (/.f64 (pow.f64 n 3) (pow.f64 f 3))) (+.f64 (*.f64 -18 (/.f64 (pow.f64 n 2) (pow.f64 f 2))) (*.f64 -6 (/.f64 n f)))) 1)
1
(-.f64 (+.f64 1 (+.f64 (*.f64 2 (/.f64 f n)) (/.f64 f n))) (+.f64 (*.f64 -2 (/.f64 f n)) (*.f64 -1 (/.f64 f n))))
(-.f64 (+.f64 1 (+.f64 (*.f64 2 (/.f64 f n)) (+.f64 (*.f64 2 (/.f64 (*.f64 f (-.f64 f (*.f64 -1 f))) (pow.f64 n 2))) (+.f64 (/.f64 f n) (+.f64 (/.f64 (*.f64 f (-.f64 f (*.f64 -1 f))) (pow.f64 n 2)) (+.f64 (/.f64 (*.f64 (-.f64 f (*.f64 -1 f)) (-.f64 (*.f64 2 f) (*.f64 -2 f))) (pow.f64 n 2)) (/.f64 (pow.f64 (-.f64 f (*.f64 -1 f)) 2) (pow.f64 n 2)))))))) (+.f64 (*.f64 -2 (/.f64 f n)) (*.f64 -1 (/.f64 f n))))
(-.f64 (+.f64 1 (+.f64 (*.f64 2 (/.f64 f n)) (+.f64 (*.f64 2 (/.f64 (*.f64 f (-.f64 f (*.f64 -1 f))) (pow.f64 n 2))) (+.f64 (*.f64 2 (/.f64 (*.f64 f (pow.f64 (-.f64 f (*.f64 -1 f)) 2)) (pow.f64 n 3))) (+.f64 (*.f64 2 (/.f64 (*.f64 (pow.f64 f 2) (-.f64 f (*.f64 -1 f))) (pow.f64 n 3))) (+.f64 (/.f64 f n) (+.f64 (/.f64 (*.f64 f (*.f64 (-.f64 f (*.f64 -1 f)) (-.f64 (*.f64 2 f) (*.f64 -2 f)))) (pow.f64 n 3)) (+.f64 (/.f64 (*.f64 f (-.f64 f (*.f64 -1 f))) (pow.f64 n 2)) (+.f64 (/.f64 (*.f64 (+.f64 (*.f64 2 (*.f64 f (-.f64 f (*.f64 -1 f)))) (pow.f64 (-.f64 f (*.f64 -1 f)) 2)) (-.f64 f (*.f64 -1 f))) (pow.f64 n 3)) (+.f64 (/.f64 (*.f64 (-.f64 f (*.f64 -1 f)) (-.f64 (*.f64 2 f) (*.f64 -2 f))) (pow.f64 n 2)) (+.f64 (/.f64 (*.f64 (pow.f64 f 2) (-.f64 f (*.f64 -1 f))) (pow.f64 n 3)) (/.f64 (pow.f64 (-.f64 f (*.f64 -1 f)) 2) (pow.f64 n 2))))))))))))) (+.f64 (*.f64 -2 (/.f64 f n)) (*.f64 -1 (/.f64 f n))))
1
(+.f64 1 (*.f64 -1 (/.f64 (+.f64 (*.f64 -2 (-.f64 f (*.f64 -1 f))) (*.f64 -1 (-.f64 f (*.f64 -1 f)))) n)))
(+.f64 1 (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -2 (-.f64 f (*.f64 -1 f))) (*.f64 -1 (-.f64 f (*.f64 -1 f)))) n)) (+.f64 (*.f64 2 (/.f64 (*.f64 f (-.f64 f (*.f64 -1 f))) (pow.f64 n 2))) (+.f64 (*.f64 2 (/.f64 (pow.f64 (-.f64 f (*.f64 -1 f)) 2) (pow.f64 n 2))) (+.f64 (/.f64 (*.f64 f (-.f64 f (*.f64 -1 f))) (pow.f64 n 2)) (/.f64 (pow.f64 (-.f64 f (*.f64 -1 f)) 2) (pow.f64 n 2)))))))
(+.f64 1 (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -4 (*.f64 f (pow.f64 (-.f64 f (*.f64 -1 f)) 2))) (+.f64 (*.f64 -2 (*.f64 (pow.f64 f 2) (-.f64 f (*.f64 -1 f)))) (+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 2 (*.f64 f (-.f64 f (*.f64 -1 f)))) (pow.f64 (-.f64 f (*.f64 -1 f)) 2)) (-.f64 f (*.f64 -1 f)))) (*.f64 -1 (*.f64 (pow.f64 f 2) (-.f64 f (*.f64 -1 f))))))) (pow.f64 n 3))) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -2 (-.f64 f (*.f64 -1 f))) (*.f64 -1 (-.f64 f (*.f64 -1 f)))) n)) (+.f64 (*.f64 2 (/.f64 (*.f64 f (-.f64 f (*.f64 -1 f))) (pow.f64 n 2))) (+.f64 (*.f64 2 (/.f64 (pow.f64 (-.f64 f (*.f64 -1 f)) 2) (pow.f64 n 2))) (+.f64 (/.f64 (*.f64 f (-.f64 f (*.f64 -1 f))) (pow.f64 n 2)) (/.f64 (pow.f64 (-.f64 f (*.f64 -1 f)) 2) (pow.f64 n 2))))))))
1
(+.f64 1 (*.f64 2 (/.f64 f n)))
(+.f64 1 (+.f64 (*.f64 2 (/.f64 f n)) (*.f64 2 (/.f64 (pow.f64 f 2) (pow.f64 n 2)))))
(+.f64 1 (+.f64 (*.f64 2 (/.f64 f n)) (+.f64 (*.f64 2 (/.f64 (pow.f64 f 2) (pow.f64 n 2))) (*.f64 2 (/.f64 (pow.f64 f 3) (pow.f64 n 3))))))
-1
(-.f64 (*.f64 -1 (/.f64 n f)) (+.f64 1 (/.f64 n f)))
(-.f64 (+.f64 (*.f64 -1 (/.f64 n f)) (/.f64 (*.f64 n (-.f64 (*.f64 -1 n) n)) (pow.f64 f 2))) (+.f64 1 (/.f64 n f)))
(-.f64 (+.f64 (*.f64 -1 (/.f64 n f)) (+.f64 (/.f64 (*.f64 n (-.f64 (*.f64 -1 n) n)) (pow.f64 f 2)) (/.f64 (*.f64 (pow.f64 n 2) (-.f64 (*.f64 -1 n) n)) (pow.f64 f 3)))) (+.f64 1 (/.f64 n f)))
-1
(-.f64 (*.f64 -1 (/.f64 (-.f64 n (*.f64 -1 n)) f)) 1)
(-.f64 (+.f64 (*.f64 -1 (/.f64 (*.f64 n (-.f64 n (*.f64 -1 n))) (pow.f64 f 2))) (*.f64 -1 (/.f64 (-.f64 n (*.f64 -1 n)) f))) 1)
(-.f64 (+.f64 (*.f64 -1 (/.f64 (*.f64 n (-.f64 n (*.f64 -1 n))) (pow.f64 f 2))) (+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 n 2) (-.f64 n (*.f64 -1 n))) (pow.f64 f 3))) (*.f64 -1 (/.f64 (-.f64 n (*.f64 -1 n)) f)))) 1)
-1
(-.f64 (*.f64 -2 (/.f64 n f)) 1)
(-.f64 (+.f64 (*.f64 -2 (/.f64 n f)) (*.f64 -2 (/.f64 (pow.f64 n 2) (pow.f64 f 2)))) 1)
(-.f64 (+.f64 (*.f64 -2 (/.f64 n f)) (+.f64 (*.f64 -2 (/.f64 (pow.f64 n 2) (pow.f64 f 2))) (*.f64 -2 (/.f64 (pow.f64 n 3) (pow.f64 f 3))))) 1)
1
(-.f64 (+.f64 1 (/.f64 f n)) (*.f64 -1 (/.f64 f n)))
(-.f64 (+.f64 1 (+.f64 (/.f64 f n) (/.f64 (*.f64 f (-.f64 f (*.f64 -1 f))) (pow.f64 n 2)))) (*.f64 -1 (/.f64 f n)))
(-.f64 (+.f64 1 (+.f64 (/.f64 f n) (+.f64 (/.f64 (*.f64 f (-.f64 f (*.f64 -1 f))) (pow.f64 n 2)) (/.f64 (*.f64 (pow.f64 f 2) (-.f64 f (*.f64 -1 f))) (pow.f64 n 3))))) (*.f64 -1 (/.f64 f n)))
(*.f64 -1 (cbrt.f64 -1))
(+.f64 (*.f64 -1 (cbrt.f64 -1)) (*.f64 -1 (/.f64 (-.f64 (*.f64 f (cbrt.f64 -1)) (*.f64 -1 (*.f64 f (cbrt.f64 -1)))) n)))
(+.f64 (*.f64 -1 (cbrt.f64 -1)) (+.f64 (*.f64 -1 (/.f64 (*.f64 f (-.f64 (*.f64 f (cbrt.f64 -1)) (*.f64 -1 (*.f64 f (cbrt.f64 -1))))) (pow.f64 n 2))) (*.f64 -1 (/.f64 (-.f64 (*.f64 f (cbrt.f64 -1)) (*.f64 -1 (*.f64 f (cbrt.f64 -1)))) n))))
(+.f64 (*.f64 -1 (cbrt.f64 -1)) (+.f64 (*.f64 -1 (/.f64 (*.f64 f (-.f64 (*.f64 f (cbrt.f64 -1)) (*.f64 -1 (*.f64 f (cbrt.f64 -1))))) (pow.f64 n 2))) (+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 f 2) (-.f64 (*.f64 f (cbrt.f64 -1)) (*.f64 -1 (*.f64 f (cbrt.f64 -1))))) (pow.f64 n 3))) (*.f64 -1 (/.f64 (-.f64 (*.f64 f (cbrt.f64 -1)) (*.f64 -1 (*.f64 f (cbrt.f64 -1)))) n)))))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (/.f64 (+.f64 f n) (-.f64 n f)) 3))) 1)
(*.f64 (+.f64 f n) (*.f64 (/.f64 1 (-.f64 n f)) (pow.f64 (/.f64 (+.f64 f n) (-.f64 n f)) 2)))
(*.f64 (/.f64 (+.f64 f n) (-.f64 n f)) (pow.f64 (/.f64 (+.f64 f n) (-.f64 n f)) 2))
(*.f64 (pow.f64 (/.f64 (+.f64 f n) (-.f64 n f)) 3) 1)
(*.f64 (pow.f64 (/.f64 (+.f64 f n) (-.f64 n f)) 2) (/.f64 (+.f64 f n) (-.f64 n f)))
(*.f64 1 (pow.f64 (/.f64 (+.f64 f n) (-.f64 n f)) 3))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 f n) (-.f64 n f))) 2) (*.f64 (cbrt.f64 (/.f64 (+.f64 f n) (-.f64 n f))) (pow.f64 (/.f64 (+.f64 f n) (-.f64 n f)) 2)))
(*.f64 (pow.f64 (+.f64 f n) 3) (pow.f64 (/.f64 1 (-.f64 n f)) 3))
(*.f64 (pow.f64 (+.f64 f n) 3) (/.f64 1 (pow.f64 (-.f64 n f) 3)))
(*.f64 (sqrt.f64 (/.f64 (+.f64 f n) (-.f64 n f))) (*.f64 (sqrt.f64 (/.f64 (+.f64 f n) (-.f64 n f))) (pow.f64 (/.f64 (+.f64 f n) (-.f64 n f)) 2)))
(*.f64 (pow.f64 (/.f64 (+.f64 f n) (-.f64 n f)) 3/2) (pow.f64 (/.f64 (+.f64 f n) (-.f64 n f)) 3/2))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 f n) (-.f64 n f))) 2) 3) (/.f64 (+.f64 f n) (-.f64 n f)))
(*.f64 (pow.f64 (sqrt.f64 (/.f64 (+.f64 f n) (-.f64 n f))) 3) (pow.f64 (sqrt.f64 (/.f64 (+.f64 f n) (-.f64 n f))) 3))
(*.f64 (*.f64 (pow.f64 (/.f64 (+.f64 f n) (-.f64 n f)) 2) (+.f64 f n)) (/.f64 1 (-.f64 n f)))
(*.f64 (*.f64 (pow.f64 (/.f64 (+.f64 f n) (-.f64 n f)) 2) 1) (/.f64 (+.f64 f n) (-.f64 n f)))
(*.f64 (*.f64 (pow.f64 (/.f64 (+.f64 f n) (-.f64 n f)) 2) (pow.f64 (cbrt.f64 (/.f64 (+.f64 f n) (-.f64 n f))) 2)) (cbrt.f64 (/.f64 (+.f64 f n) (-.f64 n f))))
(*.f64 (*.f64 (pow.f64 (/.f64 (+.f64 f n) (-.f64 n f)) 2) (sqrt.f64 (/.f64 (+.f64 f n) (-.f64 n f)))) (sqrt.f64 (/.f64 (+.f64 f n) (-.f64 n f))))
(/.f64 (pow.f64 (/.f64 (+.f64 f n) (-.f64 n f)) 2) (/.f64 (-.f64 n f) (+.f64 f n)))
(/.f64 1 (/.f64 (pow.f64 (-.f64 n f) 3) (pow.f64 (+.f64 f n) 3)))
(/.f64 1 (pow.f64 (/.f64 (-.f64 n f) (+.f64 f n)) 3))
(/.f64 (pow.f64 (+.f64 f n) 3) (pow.f64 (-.f64 n f) 3))
(/.f64 (pow.f64 (neg.f64 (+.f64 f n)) 3) (pow.f64 (neg.f64 (-.f64 n f)) 3))
(/.f64 (neg.f64 (pow.f64 (+.f64 f n) 3)) (neg.f64 (pow.f64 (-.f64 n f) 3)))
(/.f64 (*.f64 (pow.f64 (/.f64 (+.f64 f n) (-.f64 n f)) 2) (+.f64 f n)) (-.f64 n f))
(/.f64 (*.f64 (pow.f64 (/.f64 (+.f64 f n) (-.f64 n f)) 2) 1) (/.f64 (-.f64 n f) (+.f64 f n)))
(/.f64 (*.f64 (pow.f64 (/.f64 (+.f64 f n) (-.f64 n f)) 2) (neg.f64 (+.f64 f n))) (neg.f64 (-.f64 n f)))
(/.f64 (*.f64 (+.f64 f n) (pow.f64 (/.f64 (+.f64 f n) (-.f64 n f)) 2)) (-.f64 n f))
(/.f64 (*.f64 (neg.f64 (+.f64 f n)) (pow.f64 (/.f64 (+.f64 f n) (-.f64 n f)) 2)) (neg.f64 (-.f64 n f)))
(sqrt.f64 (pow.f64 (/.f64 (+.f64 f n) (-.f64 n f)) 6))
(log.f64 (exp.f64 (pow.f64 (/.f64 (+.f64 f n) (-.f64 n f)) 3)))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (/.f64 (+.f64 f n) (-.f64 n f)) 3))))
(cbrt.f64 (pow.f64 (pow.f64 (/.f64 (+.f64 f n) (-.f64 n f)) 3) 3))
(expm1.f64 (log1p.f64 (pow.f64 (/.f64 (+.f64 f n) (-.f64 n f)) 3)))
(exp.f64 (*.f64 3 (log.f64 (/.f64 (+.f64 f n) (-.f64 n f)))))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (/.f64 (+.f64 f n) (-.f64 n f)))) 1))
(log1p.f64 (expm1.f64 (pow.f64 (/.f64 (+.f64 f n) (-.f64 n f)) 3)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (+.f64 f n) (-.f64 n f)))) 1)
(*.f64 (+.f64 f n) (/.f64 1 (-.f64 n f)))
(*.f64 (/.f64 (+.f64 f n) (-.f64 n f)) 1)
(*.f64 1 (/.f64 (+.f64 f n) (-.f64 n f)))
(*.f64 (cbrt.f64 (/.f64 (+.f64 f n) (-.f64 n f))) (pow.f64 (cbrt.f64 (/.f64 (+.f64 f n) (-.f64 n f))) 2))
(*.f64 (cbrt.f64 (/.f64 (+.f64 f n) (-.f64 n f))) (pow.f64 (pow.f64 (/.f64 (+.f64 f n) (-.f64 n f)) 2) 1/3))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 f n) (-.f64 n f))) 2) (cbrt.f64 (/.f64 (+.f64 f n) (-.f64 n f))))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 f n)) 2) (*.f64 (cbrt.f64 (+.f64 f n)) (/.f64 1 (-.f64 n f))))
(*.f64 (sqrt.f64 (/.f64 (+.f64 f n) (-.f64 n f))) (sqrt.f64 (/.f64 (+.f64 f n) (-.f64 n f))))
(*.f64 (sqrt.f64 (+.f64 f n)) (*.f64 (sqrt.f64 (+.f64 f n)) (/.f64 1 (-.f64 n f))))
(*.f64 (neg.f64 (+.f64 f n)) (/.f64 1 (neg.f64 (-.f64 n f))))
(*.f64 (/.f64 1 (-.f64 n f)) (+.f64 f n))
(*.f64 (pow.f64 (pow.f64 (/.f64 (+.f64 f n) (-.f64 n f)) 2) 1/3) (cbrt.f64 (/.f64 (+.f64 f n) (-.f64 n f))))
(*.f64 (pow.f64 1 1/3) (/.f64 (+.f64 f n) (-.f64 n f)))
(*.f64 (pow.f64 (pow.f64 (/.f64 (+.f64 f n) (-.f64 n f)) 3/2) 1/3) (pow.f64 (pow.f64 (/.f64 (+.f64 f n) (-.f64 n f)) 3/2) 1/3))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (-.f64 n f)) 2)) (/.f64 (+.f64 f n) (cbrt.f64 (-.f64 n f))))
(*.f64 (/.f64 1 (sqrt.f64 (-.f64 n f))) (/.f64 (+.f64 f n) (sqrt.f64 (-.f64 n f))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 f n)) 2) 1) (/.f64 (cbrt.f64 (+.f64 f n)) (-.f64 n f)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 f n)) 2) (pow.f64 (cbrt.f64 (-.f64 n f)) 2)) (cbrt.f64 (/.f64 (+.f64 f n) (-.f64 n f))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 f n)) 2) (sqrt.f64 (-.f64 n f))) (/.f64 (cbrt.f64 (+.f64 f n)) (sqrt.f64 (-.f64 n f))))
(*.f64 (/.f64 (sqrt.f64 (+.f64 f n)) 1) (/.f64 (sqrt.f64 (+.f64 f n)) (-.f64 n f)))
(*.f64 (/.f64 (sqrt.f64 (+.f64 f n)) (pow.f64 (cbrt.f64 (-.f64 n f)) 2)) (/.f64 (sqrt.f64 (+.f64 f n)) (cbrt.f64 (-.f64 n f))))
(*.f64 (/.f64 (+.f64 f n) (-.f64 (pow.f64 n 2) (pow.f64 f 2))) (+.f64 f n))
(*.f64 (/.f64 (+.f64 f n) (-.f64 (pow.f64 n 3) (pow.f64 f 3))) (fma.f64 n n (*.f64 f (+.f64 f n))))
(/.f64 (+.f64 f n) (-.f64 n f))
(/.f64 1 (/.f64 (-.f64 n f) (+.f64 f n)))
(/.f64 1 (/.f64 (/.f64 (-.f64 n f) (+.f64 f n)) 1))
(/.f64 (pow.f64 (cbrt.f64 (+.f64 f n)) 2) (/.f64 (-.f64 n f) (cbrt.f64 (+.f64 f n))))
(/.f64 (sqrt.f64 (+.f64 f n)) (/.f64 (-.f64 n f) (sqrt.f64 (+.f64 f n))))
(/.f64 (neg.f64 (+.f64 f n)) (neg.f64 (-.f64 n f)))
(/.f64 (+.f64 (pow.f64 f 3) (pow.f64 n 3)) (*.f64 (-.f64 n f) (fma.f64 f f (*.f64 n (-.f64 n f)))))
(/.f64 (-.f64 (pow.f64 f 2) (pow.f64 n 2)) (*.f64 (-.f64 n f) (-.f64 f n)))
(/.f64 -1 (neg.f64 (/.f64 (-.f64 n f) (+.f64 f n))))
(/.f64 (*.f64 (+.f64 (pow.f64 f 3) (pow.f64 n 3)) 1) (*.f64 (fma.f64 f f (*.f64 n (-.f64 n f))) (-.f64 n f)))
(/.f64 (*.f64 (-.f64 (pow.f64 f 2) (pow.f64 n 2)) 1) (*.f64 (-.f64 f n) (-.f64 n f)))
(/.f64 (neg.f64 (neg.f64 (+.f64 f n))) (neg.f64 (neg.f64 (-.f64 n f))))
(/.f64 (/.f64 (+.f64 f n) (sqrt.f64 (-.f64 n f))) (sqrt.f64 (-.f64 n f)))
(/.f64 (*.f64 (+.f64 (pow.f64 f 3) (pow.f64 n 3)) (/.f64 1 (-.f64 n f))) (fma.f64 f f (*.f64 n (-.f64 n f))))
(/.f64 (*.f64 (-.f64 (pow.f64 f 2) (pow.f64 n 2)) (/.f64 1 (-.f64 n f))) (-.f64 f n))
(/.f64 (/.f64 (+.f64 f n) 1) (-.f64 n f))
(/.f64 (/.f64 (+.f64 f n) (pow.f64 (cbrt.f64 (-.f64 n f)) 2)) (cbrt.f64 (-.f64 n f)))
(pow.f64 (/.f64 (+.f64 f n) (-.f64 n f)) 1)
(pow.f64 (pow.f64 (/.f64 (+.f64 f n) (-.f64 n f)) 3) 1/3)
(pow.f64 (cbrt.f64 (/.f64 (+.f64 f n) (-.f64 n f))) 3)
(pow.f64 (sqrt.f64 (/.f64 (+.f64 f n) (-.f64 n f))) 2)
(pow.f64 (/.f64 (-.f64 n f) (+.f64 f n)) -1)
(neg.f64 (/.f64 (+.f64 f n) (neg.f64 (-.f64 n f))))
(sqrt.f64 (pow.f64 (/.f64 (+.f64 f n) (-.f64 n f)) 2))
(log.f64 (exp.f64 (/.f64 (+.f64 f n) (-.f64 n f))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (+.f64 f n) (-.f64 n f)))))
(expm1.f64 (log1p.f64 (/.f64 (+.f64 f n) (-.f64 n f))))
(exp.f64 (log.f64 (/.f64 (+.f64 f n) (-.f64 n f))))
(exp.f64 (*.f64 (log.f64 (/.f64 (+.f64 f n) (-.f64 n f))) 1))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (/.f64 (+.f64 f n) (-.f64 n f)))) 1/3))
(log1p.f64 (expm1.f64 (/.f64 (+.f64 f n) (-.f64 n f))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 2 (/.f64 f n)))) 1)
(/.f64 2 (/.f64 n f))
(/.f64 1 (/.f64 n (*.f64 f 2)))
(/.f64 (*.f64 f 2) n)
(/.f64 (neg.f64 (*.f64 f 2)) (neg.f64 n))
(/.f64 (*.f64 2 (neg.f64 f)) (neg.f64 n))
(/.f64 (*.f64 (neg.f64 f) 2) (neg.f64 n))
(/.f64 (/.f64 (*.f64 f 2) 1) n)
(/.f64 (/.f64 (*.f64 f 2) (pow.f64 (cbrt.f64 n) 2)) (cbrt.f64 n))
(/.f64 (/.f64 (*.f64 f 2) (sqrt.f64 n)) (sqrt.f64 n))
(pow.f64 (*.f64 2 (/.f64 f n)) 1)
(pow.f64 (cbrt.f64 (*.f64 2 (/.f64 f n))) 3)
(pow.f64 (pow.f64 (*.f64 2 (/.f64 f n)) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 2 (/.f64 f n))) 2)
(sqrt.f64 (pow.f64 (*.f64 2 (/.f64 f n)) 2))
(log.f64 (pow.f64 (exp.f64 2) (/.f64 f n)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 2 (/.f64 f n)))))
(cbrt.f64 (pow.f64 (*.f64 2 (/.f64 f n)) 3))
(expm1.f64 (log1p.f64 (*.f64 2 (/.f64 f n))))
(exp.f64 (log.f64 (*.f64 2 (/.f64 f n))))
(exp.f64 (*.f64 (log.f64 (*.f64 2 (/.f64 f n))) 1))
(log1p.f64 (expm1.f64 (*.f64 2 (/.f64 f n))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 -2 (/.f64 n f)))) 1)
(/.f64 -2 (/.f64 f n))
(/.f64 1 (/.f64 f (*.f64 n -2)))
(/.f64 (*.f64 n -2) f)
(/.f64 (neg.f64 (*.f64 n -2)) (neg.f64 f))
(/.f64 (*.f64 -2 (neg.f64 n)) (neg.f64 f))
(/.f64 (*.f64 (neg.f64 n) -2) (neg.f64 f))
(/.f64 (/.f64 (*.f64 n -2) 1) f)
(/.f64 (/.f64 (*.f64 n -2) (pow.f64 (cbrt.f64 f) 2)) (cbrt.f64 f))
(/.f64 (/.f64 (*.f64 n -2) (sqrt.f64 f)) (sqrt.f64 f))
(pow.f64 (*.f64 -2 (/.f64 n f)) 1)
(pow.f64 (cbrt.f64 (*.f64 -2 (/.f64 n f))) 3)
(pow.f64 (pow.f64 (*.f64 -2 (/.f64 n f)) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 -2 (/.f64 n f))) 2)
(sqrt.f64 (pow.f64 (*.f64 -2 (/.f64 n f)) 2))
(log.f64 (pow.f64 (exp.f64 (/.f64 n f)) -2))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 -2 (/.f64 n f)))))
(cbrt.f64 (pow.f64 (*.f64 -2 (/.f64 n f)) 3))
(expm1.f64 (log1p.f64 (*.f64 -2 (/.f64 n f))))
(exp.f64 (log.f64 (*.f64 -2 (/.f64 n f))))
(exp.f64 (*.f64 (log.f64 (*.f64 -2 (/.f64 n f))) 1))
(log1p.f64 (expm1.f64 (*.f64 -2 (/.f64 n f))))
Outputs
1
(+.f64 1 (*.f64 6 (/.f64 f n)))
(+.f64 1 (/.f64 (*.f64 6 f) n))
(fma.f64 6 (/.f64 f n) 1)
(+.f64 1 (+.f64 (*.f64 6 (/.f64 f n)) (*.f64 18 (/.f64 (pow.f64 f 2) (pow.f64 n 2)))))
(+.f64 1 (fma.f64 6 (/.f64 f n) (/.f64 (*.f64 18 (pow.f64 f 2)) (pow.f64 n 2))))
(+.f64 (fma.f64 6 (/.f64 f n) 1) (/.f64 (*.f64 18 (pow.f64 f 2)) (pow.f64 n 2)))
(+.f64 1 (+.f64 (*.f64 6 (/.f64 f n)) (+.f64 (*.f64 18 (/.f64 (pow.f64 f 2) (pow.f64 n 2))) (*.f64 38 (/.f64 (pow.f64 f 3) (pow.f64 n 3))))))
(+.f64 1 (fma.f64 6 (/.f64 f n) (fma.f64 18 (/.f64 (pow.f64 f 2) (pow.f64 n 2)) (/.f64 (*.f64 38 (pow.f64 f 3)) (pow.f64 n 3)))))
(+.f64 (fma.f64 6 (/.f64 f n) 1) (fma.f64 38 (pow.f64 (/.f64 f n) 3) (/.f64 (*.f64 18 (pow.f64 f 2)) (pow.f64 n 2))))
-1
(-.f64 (+.f64 (*.f64 -1 (/.f64 n f)) (*.f64 2 (/.f64 (-.f64 (*.f64 -1 n) n) f))) (+.f64 1 (/.f64 n f)))
(-.f64 (fma.f64 -1 (/.f64 n f) (*.f64 2 (/.f64 (-.f64 (neg.f64 n) n) f))) (+.f64 1 (/.f64 n f)))
(+.f64 (*.f64 2 (*.f64 n (/.f64 -2 f))) (fma.f64 (/.f64 n f) -2 -1))
(+.f64 (*.f64 2 (*.f64 n (/.f64 -2 f))) (fma.f64 n (/.f64 -2 f) -1))
(-.f64 (+.f64 (*.f64 -2 (/.f64 (pow.f64 (-.f64 (*.f64 -1 n) n) 2) (pow.f64 f 2))) (+.f64 (*.f64 -1 (/.f64 n f)) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -2 (*.f64 n (-.f64 (*.f64 -1 n) n))) (pow.f64 (-.f64 (*.f64 -1 n) n) 2)) (pow.f64 f 2))) (+.f64 (*.f64 2 (/.f64 (-.f64 (*.f64 -1 n) n) f)) (/.f64 (*.f64 n (-.f64 (*.f64 -1 n) n)) (pow.f64 f 2)))))) (+.f64 1 (/.f64 n f)))
(-.f64 (fma.f64 -2 (/.f64 (pow.f64 (-.f64 (neg.f64 n) n) 2) (pow.f64 f 2)) (fma.f64 -1 (/.f64 n f) (fma.f64 -1 (/.f64 (fma.f64 -2 (*.f64 n (-.f64 (neg.f64 n) n)) (pow.f64 (-.f64 (neg.f64 n) n) 2)) (pow.f64 f 2)) (fma.f64 2 (/.f64 (-.f64 (neg.f64 n) n) f) (/.f64 n (/.f64 (pow.f64 f 2) (-.f64 (neg.f64 n) n))))))) (+.f64 1 (/.f64 n f)))
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(/.f64 (pow.f64 (cbrt.f64 (+.f64 f n)) 2) (/.f64 (pow.f64 (cbrt.f64 (-.f64 n f)) 2) (cbrt.f64 (/.f64 (+.f64 f n) (-.f64 n f)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 f n)) 2) (sqrt.f64 (-.f64 n f))) (/.f64 (cbrt.f64 (+.f64 f n)) (sqrt.f64 (-.f64 n f))))
(/.f64 (+.f64 f n) (-.f64 n f))
(*.f64 (/.f64 (sqrt.f64 (+.f64 f n)) 1) (/.f64 (sqrt.f64 (+.f64 f n)) (-.f64 n f)))
(/.f64 (+.f64 f n) (-.f64 n f))
(*.f64 (/.f64 (sqrt.f64 (+.f64 f n)) (pow.f64 (cbrt.f64 (-.f64 n f)) 2)) (/.f64 (sqrt.f64 (+.f64 f n)) (cbrt.f64 (-.f64 n f))))
(/.f64 (+.f64 f n) (-.f64 n f))
(*.f64 (/.f64 (+.f64 f n) (-.f64 (pow.f64 n 2) (pow.f64 f 2))) (+.f64 f n))
(*.f64 (+.f64 f n) (/.f64 (+.f64 f n) (-.f64 (pow.f64 n 2) (pow.f64 f 2))))
(/.f64 (*.f64 (+.f64 f n) (+.f64 f n)) (-.f64 (pow.f64 n 2) (pow.f64 f 2)))
(*.f64 (/.f64 (+.f64 f n) (-.f64 (pow.f64 n 3) (pow.f64 f 3))) (fma.f64 n n (*.f64 f (+.f64 f n))))
(/.f64 (+.f64 f n) (-.f64 n f))
(/.f64 1 (/.f64 (-.f64 n f) (+.f64 f n)))
(/.f64 (+.f64 f n) (-.f64 n f))
(/.f64 1 (/.f64 (/.f64 (-.f64 n f) (+.f64 f n)) 1))
(/.f64 (+.f64 f n) (-.f64 n f))
(/.f64 (pow.f64 (cbrt.f64 (+.f64 f n)) 2) (/.f64 (-.f64 n f) (cbrt.f64 (+.f64 f n))))
(/.f64 (+.f64 f n) (-.f64 n f))
(/.f64 (sqrt.f64 (+.f64 f n)) (/.f64 (-.f64 n f) (sqrt.f64 (+.f64 f n))))
(/.f64 (+.f64 f n) (-.f64 n f))
(/.f64 (neg.f64 (+.f64 f n)) (neg.f64 (-.f64 n f)))
(/.f64 (+.f64 f n) (-.f64 n f))
(/.f64 (+.f64 (pow.f64 f 3) (pow.f64 n 3)) (*.f64 (-.f64 n f) (fma.f64 f f (*.f64 n (-.f64 n f)))))
(/.f64 (-.f64 (pow.f64 f 2) (pow.f64 n 2)) (*.f64 (-.f64 n f) (-.f64 f n)))
(/.f64 -1 (neg.f64 (/.f64 (-.f64 n f) (+.f64 f n))))
(/.f64 (+.f64 f n) (-.f64 n f))
(/.f64 (*.f64 (+.f64 (pow.f64 f 3) (pow.f64 n 3)) 1) (*.f64 (fma.f64 f f (*.f64 n (-.f64 n f))) (-.f64 n f)))
(/.f64 (+.f64 (pow.f64 f 3) (pow.f64 n 3)) (*.f64 (-.f64 n f) (fma.f64 f f (*.f64 n (-.f64 n f)))))
(/.f64 (*.f64 (-.f64 (pow.f64 f 2) (pow.f64 n 2)) 1) (*.f64 (-.f64 f n) (-.f64 n f)))
(/.f64 (-.f64 (pow.f64 f 2) (pow.f64 n 2)) (*.f64 (-.f64 n f) (-.f64 f n)))
(/.f64 (neg.f64 (neg.f64 (+.f64 f n))) (neg.f64 (neg.f64 (-.f64 n f))))
(/.f64 (+.f64 f n) (-.f64 n f))
(/.f64 (/.f64 (+.f64 f n) (sqrt.f64 (-.f64 n f))) (sqrt.f64 (-.f64 n f)))
(/.f64 (+.f64 f n) (-.f64 n f))
(/.f64 (*.f64 (+.f64 (pow.f64 f 3) (pow.f64 n 3)) (/.f64 1 (-.f64 n f))) (fma.f64 f f (*.f64 n (-.f64 n f))))
(/.f64 (+.f64 (pow.f64 f 3) (pow.f64 n 3)) (*.f64 (-.f64 n f) (fma.f64 f f (*.f64 n (-.f64 n f)))))
(/.f64 (*.f64 (-.f64 (pow.f64 f 2) (pow.f64 n 2)) (/.f64 1 (-.f64 n f))) (-.f64 f n))
(/.f64 (-.f64 (pow.f64 f 2) (pow.f64 n 2)) (*.f64 (-.f64 n f) (-.f64 f n)))
(/.f64 (/.f64 (+.f64 f n) 1) (-.f64 n f))
(/.f64 (+.f64 f n) (-.f64 n f))
(/.f64 (/.f64 (+.f64 f n) (pow.f64 (cbrt.f64 (-.f64 n f)) 2)) (cbrt.f64 (-.f64 n f)))
(/.f64 (+.f64 f n) (-.f64 n f))
(pow.f64 (/.f64 (+.f64 f n) (-.f64 n f)) 1)
(/.f64 (+.f64 f n) (-.f64 n f))
(pow.f64 (pow.f64 (/.f64 (+.f64 f n) (-.f64 n f)) 3) 1/3)
(/.f64 (+.f64 f n) (-.f64 n f))
(pow.f64 (cbrt.f64 (/.f64 (+.f64 f n) (-.f64 n f))) 3)
(/.f64 (+.f64 f n) (-.f64 n f))
(pow.f64 (sqrt.f64 (/.f64 (+.f64 f n) (-.f64 n f))) 2)
(/.f64 (+.f64 f n) (-.f64 n f))
(pow.f64 (/.f64 (-.f64 n f) (+.f64 f n)) -1)
(/.f64 (+.f64 f n) (-.f64 n f))
(neg.f64 (/.f64 (+.f64 f n) (neg.f64 (-.f64 n f))))
(/.f64 (+.f64 f n) (-.f64 n f))
(sqrt.f64 (pow.f64 (/.f64 (+.f64 f n) (-.f64 n f)) 2))
(fabs.f64 (/.f64 (+.f64 f n) (-.f64 n f)))
(log.f64 (exp.f64 (/.f64 (+.f64 f n) (-.f64 n f))))
(/.f64 (+.f64 f n) (-.f64 n f))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (+.f64 f n) (-.f64 n f)))))
(/.f64 (+.f64 f n) (-.f64 n f))
(expm1.f64 (log1p.f64 (/.f64 (+.f64 f n) (-.f64 n f))))
(/.f64 (+.f64 f n) (-.f64 n f))
(exp.f64 (log.f64 (/.f64 (+.f64 f n) (-.f64 n f))))
(/.f64 (+.f64 f n) (-.f64 n f))
(exp.f64 (*.f64 (log.f64 (/.f64 (+.f64 f n) (-.f64 n f))) 1))
(/.f64 (+.f64 f n) (-.f64 n f))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (/.f64 (+.f64 f n) (-.f64 n f)))) 1/3))
(/.f64 (+.f64 f n) (-.f64 n f))
(log1p.f64 (expm1.f64 (/.f64 (+.f64 f n) (-.f64 n f))))
(/.f64 (+.f64 f n) (-.f64 n f))
(-.f64 (exp.f64 (log1p.f64 (*.f64 2 (/.f64 f n)))) 1)
(/.f64 f (/.f64 n 2))
(*.f64 f (/.f64 2 n))
(/.f64 2 (/.f64 n f))
(/.f64 f (/.f64 n 2))
(*.f64 f (/.f64 2 n))
(/.f64 1 (/.f64 n (*.f64 f 2)))
(/.f64 f (/.f64 n 2))
(*.f64 f (/.f64 2 n))
(/.f64 (*.f64 f 2) n)
(/.f64 f (/.f64 n 2))
(*.f64 f (/.f64 2 n))
(/.f64 (neg.f64 (*.f64 f 2)) (neg.f64 n))
(/.f64 f (/.f64 n 2))
(*.f64 f (/.f64 2 n))
(/.f64 (*.f64 2 (neg.f64 f)) (neg.f64 n))
(/.f64 f (/.f64 n 2))
(*.f64 f (/.f64 2 n))
(/.f64 (*.f64 (neg.f64 f) 2) (neg.f64 n))
(/.f64 f (/.f64 n 2))
(*.f64 f (/.f64 2 n))
(/.f64 (/.f64 (*.f64 f 2) 1) n)
(/.f64 f (/.f64 n 2))
(*.f64 f (/.f64 2 n))
(/.f64 (/.f64 (*.f64 f 2) (pow.f64 (cbrt.f64 n) 2)) (cbrt.f64 n))
(/.f64 f (/.f64 n 2))
(*.f64 f (/.f64 2 n))
(/.f64 (/.f64 (*.f64 f 2) (sqrt.f64 n)) (sqrt.f64 n))
(/.f64 f (/.f64 n 2))
(*.f64 f (/.f64 2 n))
(pow.f64 (*.f64 2 (/.f64 f n)) 1)
(/.f64 f (/.f64 n 2))
(*.f64 f (/.f64 2 n))
(pow.f64 (cbrt.f64 (*.f64 2 (/.f64 f n))) 3)
(/.f64 f (/.f64 n 2))
(*.f64 f (/.f64 2 n))
(pow.f64 (pow.f64 (*.f64 2 (/.f64 f n)) 3) 1/3)
(/.f64 f (/.f64 n 2))
(*.f64 f (/.f64 2 n))
(pow.f64 (sqrt.f64 (*.f64 2 (/.f64 f n))) 2)
(/.f64 f (/.f64 n 2))
(*.f64 f (/.f64 2 n))
(sqrt.f64 (pow.f64 (*.f64 2 (/.f64 f n)) 2))
(sqrt.f64 (pow.f64 (/.f64 f (/.f64 n 2)) 2))
(fabs.f64 (*.f64 f (/.f64 2 n)))
(log.f64 (pow.f64 (exp.f64 2) (/.f64 f n)))
(/.f64 f (/.f64 n 2))
(*.f64 f (/.f64 2 n))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 2 (/.f64 f n)))))
(/.f64 f (/.f64 n 2))
(*.f64 f (/.f64 2 n))
(cbrt.f64 (pow.f64 (*.f64 2 (/.f64 f n)) 3))
(/.f64 f (/.f64 n 2))
(*.f64 f (/.f64 2 n))
(expm1.f64 (log1p.f64 (*.f64 2 (/.f64 f n))))
(/.f64 f (/.f64 n 2))
(*.f64 f (/.f64 2 n))
(exp.f64 (log.f64 (*.f64 2 (/.f64 f n))))
(/.f64 f (/.f64 n 2))
(*.f64 f (/.f64 2 n))
(exp.f64 (*.f64 (log.f64 (*.f64 2 (/.f64 f n))) 1))
(/.f64 f (/.f64 n 2))
(*.f64 f (/.f64 2 n))
(log1p.f64 (expm1.f64 (*.f64 2 (/.f64 f n))))
(/.f64 f (/.f64 n 2))
(*.f64 f (/.f64 2 n))
(-.f64 (exp.f64 (log1p.f64 (*.f64 -2 (/.f64 n f)))) 1)
(*.f64 (/.f64 n f) -2)
(*.f64 n (/.f64 -2 f))
(/.f64 -2 (/.f64 f n))
(*.f64 (/.f64 n f) -2)
(*.f64 n (/.f64 -2 f))
(/.f64 1 (/.f64 f (*.f64 n -2)))
(*.f64 (/.f64 1 f) (*.f64 n -2))
(*.f64 (*.f64 n -2) (/.f64 1 f))
(/.f64 (*.f64 n -2) f)
(*.f64 (/.f64 n f) -2)
(*.f64 n (/.f64 -2 f))
(/.f64 (neg.f64 (*.f64 n -2)) (neg.f64 f))
(*.f64 (/.f64 n f) -2)
(*.f64 n (/.f64 -2 f))
(/.f64 (*.f64 -2 (neg.f64 n)) (neg.f64 f))
(*.f64 (/.f64 n f) -2)
(*.f64 n (/.f64 -2 f))
(/.f64 (*.f64 (neg.f64 n) -2) (neg.f64 f))
(*.f64 (/.f64 n f) -2)
(*.f64 n (/.f64 -2 f))
(/.f64 (/.f64 (*.f64 n -2) 1) f)
(*.f64 (/.f64 n f) -2)
(*.f64 n (/.f64 -2 f))
(/.f64 (/.f64 (*.f64 n -2) (pow.f64 (cbrt.f64 f) 2)) (cbrt.f64 f))
(*.f64 (/.f64 n f) -2)
(*.f64 n (/.f64 -2 f))
(/.f64 (/.f64 (*.f64 n -2) (sqrt.f64 f)) (sqrt.f64 f))
(*.f64 (/.f64 n f) -2)
(*.f64 n (/.f64 -2 f))
(pow.f64 (*.f64 -2 (/.f64 n f)) 1)
(*.f64 (/.f64 n f) -2)
(*.f64 n (/.f64 -2 f))
(pow.f64 (cbrt.f64 (*.f64 -2 (/.f64 n f))) 3)
(*.f64 (/.f64 n f) -2)
(*.f64 n (/.f64 -2 f))
(pow.f64 (pow.f64 (*.f64 -2 (/.f64 n f)) 3) 1/3)
(*.f64 (/.f64 n f) -2)
(*.f64 n (/.f64 -2 f))
(pow.f64 (sqrt.f64 (*.f64 -2 (/.f64 n f))) 2)
(*.f64 (/.f64 n f) -2)
(*.f64 n (/.f64 -2 f))
(sqrt.f64 (pow.f64 (*.f64 -2 (/.f64 n f)) 2))
(sqrt.f64 (pow.f64 (*.f64 (/.f64 n f) -2) 2))
(fabs.f64 (*.f64 n (/.f64 -2 f)))
(log.f64 (pow.f64 (exp.f64 (/.f64 n f)) -2))
(*.f64 (/.f64 n f) -2)
(*.f64 n (/.f64 -2 f))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 -2 (/.f64 n f)))))
(*.f64 (/.f64 n f) -2)
(*.f64 n (/.f64 -2 f))
(cbrt.f64 (pow.f64 (*.f64 -2 (/.f64 n f)) 3))
(*.f64 (/.f64 n f) -2)
(*.f64 n (/.f64 -2 f))
(expm1.f64 (log1p.f64 (*.f64 -2 (/.f64 n f))))
(*.f64 (/.f64 n f) -2)
(*.f64 n (/.f64 -2 f))
(exp.f64 (log.f64 (*.f64 -2 (/.f64 n f))))
(*.f64 (/.f64 n f) -2)
(*.f64 n (/.f64 -2 f))
(exp.f64 (*.f64 (log.f64 (*.f64 -2 (/.f64 n f))) 1))
(*.f64 (/.f64 n f) -2)
(*.f64 n (/.f64 -2 f))
(log1p.f64 (expm1.f64 (*.f64 -2 (/.f64 n f))))
(*.f64 (/.f64 n f) -2)
(*.f64 n (/.f64 -2 f))

eval212.0ms (3.8%)

Compiler

Compiled 7571 to 4263 computations (43.7% saved)

prune50.0ms (0.9%)

Pruning

7 alts after pruning (1 fresh and 6 done)

PrunedKeptTotal
New3441345
Fresh202
Picked055
Done011
Total3467353
Accuracy
100.0%
Counts
353 → 7
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.9%
(/.f64 (+.f64 f n) (-.f64 n f))
99.9%
(/.f64 1 (/.f64 (-.f64 n f) (+.f64 f n)))
46.7%
(-.f64 (*.f64 -2 (/.f64 n f)) 1)
54.4%
(+.f64 1 (*.f64 2 (/.f64 f n)))
100.0%
(cbrt.f64 (pow.f64 (/.f64 (+.f64 f n) (-.f64 n f)) 3))
52.7%
1
45.5%
-1
Compiler

Compiled 56 to 40 computations (28.6% saved)

localize37.0ms (0.7%)

Localize:

Found 2 expressions with local error:

NewAccuracyProgram
100.0%
(/.f64 1 (/.f64 (-.f64 n f) (+.f64 f n)))
100.0%
(/.f64 (-.f64 n f) (+.f64 f n))
Compiler

Compiled 28 to 9 computations (67.9% saved)

series4.0ms (0.1%)

Counts
2 → 48
Calls

12 calls:

TimeVariablePointExpression
0.0ms
n
@inf
(/.f64 (-.f64 n f) (+.f64 f n))
0.0ms
n
@0
(/.f64 (-.f64 n f) (+.f64 f n))
0.0ms
n
@-inf
(/.f64 (-.f64 n f) (+.f64 f n))
0.0ms
f
@inf
(/.f64 (-.f64 n f) (+.f64 f n))
0.0ms
f
@-inf
(/.f64 (-.f64 n f) (+.f64 f n))

rewrite198.0ms (3.5%)

Algorithm
batch-egg-rewrite
Rules
1948×prod-diff
983×log1p-expm1-u
664×expm1-log1p-u
288×expm1-udef
288×log1p-udef
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01268
116762
2263762
Stop Event
node limit
Counts
2 → 280
Calls
Call 1
Inputs
(/.f64 (-.f64 n f) (+.f64 f n))
(/.f64 1 (/.f64 (-.f64 n f) (+.f64 f n)))
Outputs
(+.f64 (/.f64 n (+.f64 n f)) (neg.f64 (/.f64 f (+.f64 n f))))
(+.f64 (fma.f64 n (/.f64 1 (+.f64 n f)) (neg.f64 (*.f64 (/.f64 1 (+.f64 n f)) f))) (fma.f64 (neg.f64 (/.f64 1 (+.f64 n f))) f (*.f64 (/.f64 1 (+.f64 n f)) f)))
(+.f64 (fma.f64 n (/.f64 1 (+.f64 n f)) (neg.f64 (*.f64 (/.f64 f (+.f64 n f)) 1))) (fma.f64 (neg.f64 (/.f64 f (+.f64 n f))) 1 (*.f64 (/.f64 f (+.f64 n f)) 1)))
(+.f64 (fma.f64 n (/.f64 1 (+.f64 n f)) (neg.f64 (*.f64 (cbrt.f64 (/.f64 f (+.f64 n f))) (*.f64 (cbrt.f64 (/.f64 f (+.f64 n f))) (cbrt.f64 (/.f64 f (+.f64 n f))))))) (fma.f64 (neg.f64 (cbrt.f64 (/.f64 f (+.f64 n f)))) (*.f64 (cbrt.f64 (/.f64 f (+.f64 n f))) (cbrt.f64 (/.f64 f (+.f64 n f)))) (*.f64 (cbrt.f64 (/.f64 f (+.f64 n f))) (*.f64 (cbrt.f64 (/.f64 f (+.f64 n f))) (cbrt.f64 (/.f64 f (+.f64 n f)))))))
(+.f64 (fma.f64 n (/.f64 1 (+.f64 n f)) (neg.f64 (/.f64 f (+.f64 n f)))) (fma.f64 (neg.f64 (sqrt.f64 (/.f64 f (+.f64 n f)))) (sqrt.f64 (/.f64 f (+.f64 n f))) (/.f64 f (+.f64 n f))))
(+.f64 (fma.f64 n (/.f64 1 (+.f64 n f)) (neg.f64 (/.f64 f (+.f64 n f)))) (fma.f64 (neg.f64 (/.f64 (sqrt.f64 f) (sqrt.f64 (+.f64 n f)))) (/.f64 (sqrt.f64 f) (sqrt.f64 (+.f64 n f))) (/.f64 f (+.f64 n f))))
(+.f64 (fma.f64 n (/.f64 1 (+.f64 n f)) (neg.f64 (*.f64 (/.f64 f (cbrt.f64 (+.f64 n f))) (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 n f)) 2))))) (fma.f64 (neg.f64 (/.f64 f (cbrt.f64 (+.f64 n f)))) (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 n f)) 2)) (*.f64 (/.f64 f (cbrt.f64 (+.f64 n f))) (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 n f)) 2)))))
(+.f64 (fma.f64 n (/.f64 1 (+.f64 n f)) (neg.f64 (*.f64 (/.f64 f (sqrt.f64 (+.f64 n f))) (/.f64 1 (sqrt.f64 (+.f64 n f)))))) (fma.f64 (neg.f64 (/.f64 f (sqrt.f64 (+.f64 n f)))) (/.f64 1 (sqrt.f64 (+.f64 n f))) (*.f64 (/.f64 f (sqrt.f64 (+.f64 n f))) (/.f64 1 (sqrt.f64 (+.f64 n f))))))
(+.f64 (fma.f64 n (/.f64 1 (+.f64 n f)) (neg.f64 (*.f64 (/.f64 (cbrt.f64 f) (+.f64 n f)) (/.f64 (pow.f64 (cbrt.f64 f) 2) 1)))) (fma.f64 (neg.f64 (/.f64 (cbrt.f64 f) (+.f64 n f))) (/.f64 (pow.f64 (cbrt.f64 f) 2) 1) (*.f64 (/.f64 (cbrt.f64 f) (+.f64 n f)) (/.f64 (pow.f64 (cbrt.f64 f) 2) 1))))
(+.f64 (fma.f64 n (/.f64 1 (+.f64 n f)) (neg.f64 (*.f64 (/.f64 (cbrt.f64 f) (cbrt.f64 (+.f64 n f))) (/.f64 (pow.f64 (cbrt.f64 f) 2) (pow.f64 (cbrt.f64 (+.f64 n f)) 2))))) (fma.f64 (neg.f64 (/.f64 (cbrt.f64 f) (cbrt.f64 (+.f64 n f)))) (/.f64 (pow.f64 (cbrt.f64 f) 2) (pow.f64 (cbrt.f64 (+.f64 n f)) 2)) (*.f64 (/.f64 (cbrt.f64 f) (cbrt.f64 (+.f64 n f))) (/.f64 (pow.f64 (cbrt.f64 f) 2) (pow.f64 (cbrt.f64 (+.f64 n f)) 2)))))
(+.f64 (fma.f64 n (/.f64 1 (+.f64 n f)) (neg.f64 (*.f64 (/.f64 (cbrt.f64 f) (sqrt.f64 (+.f64 n f))) (/.f64 (pow.f64 (cbrt.f64 f) 2) (sqrt.f64 (+.f64 n f)))))) (fma.f64 (neg.f64 (/.f64 (cbrt.f64 f) (sqrt.f64 (+.f64 n f)))) (/.f64 (pow.f64 (cbrt.f64 f) 2) (sqrt.f64 (+.f64 n f))) (*.f64 (/.f64 (cbrt.f64 f) (sqrt.f64 (+.f64 n f))) (/.f64 (pow.f64 (cbrt.f64 f) 2) (sqrt.f64 (+.f64 n f))))))
(+.f64 (fma.f64 n (/.f64 1 (+.f64 n f)) (neg.f64 (*.f64 (/.f64 (sqrt.f64 f) (+.f64 n f)) (/.f64 (sqrt.f64 f) 1)))) (fma.f64 (neg.f64 (/.f64 (sqrt.f64 f) (+.f64 n f))) (/.f64 (sqrt.f64 f) 1) (*.f64 (/.f64 (sqrt.f64 f) (+.f64 n f)) (/.f64 (sqrt.f64 f) 1))))
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(*.f64 (*.f64 (/.f64 1 (-.f64 n f)) (pow.f64 (cbrt.f64 (+.f64 n f)) 2)) (cbrt.f64 (+.f64 n f)))
(*.f64 (*.f64 (/.f64 1 (-.f64 n f)) (sqrt.f64 (+.f64 n f))) (sqrt.f64 (+.f64 n f)))
(*.f64 (/.f64 1 (neg.f64 (-.f64 n f))) (neg.f64 (+.f64 n f)))
(*.f64 (/.f64 (+.f64 n f) (-.f64 (pow.f64 n 3) (pow.f64 f 3))) (fma.f64 n n (*.f64 f (+.f64 n f))))
(pow.f64 (/.f64 (-.f64 n f) (+.f64 n f)) -1)
(pow.f64 (/.f64 (+.f64 n f) (-.f64 n f)) 1)
(pow.f64 (cbrt.f64 (/.f64 (+.f64 n f) (-.f64 n f))) 3)
(pow.f64 (pow.f64 (/.f64 (+.f64 n f) (-.f64 n f)) 3) 1/3)
(pow.f64 (sqrt.f64 (/.f64 (+.f64 n f) (-.f64 n f))) 2)
(sqrt.f64 (pow.f64 (/.f64 (-.f64 n f) (+.f64 n f)) -2))
(log.f64 (exp.f64 (/.f64 (+.f64 n f) (-.f64 n f))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (+.f64 n f) (-.f64 n f)))))
(cbrt.f64 (pow.f64 (/.f64 (+.f64 n f) (-.f64 n f)) 3))
(cbrt.f64 (/.f64 (pow.f64 (+.f64 n f) 3) (pow.f64 (-.f64 n f) 3)))
(expm1.f64 (log1p.f64 (/.f64 (+.f64 n f) (-.f64 n f))))
(exp.f64 (log.f64 (/.f64 (+.f64 n f) (-.f64 n f))))
(exp.f64 (*.f64 (log.f64 (/.f64 (-.f64 n f) (+.f64 n f))) -1))
(exp.f64 (*.f64 (log.f64 (/.f64 (+.f64 n f) (-.f64 n f))) 1))
(exp.f64 (-.f64 (log.f64 (+.f64 n f)) (log.f64 (-.f64 n f))))
(log1p.f64 (expm1.f64 (/.f64 (+.f64 n f) (-.f64 n f))))

simplify367.0ms (6.5%)

Algorithm
egg-herbie
Rules
870×+-commutative
840×associate-+l+
788×fma-neg
776×associate-+r+
444×log-prod
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
079943898
1204933820
2694233620
Stop Event
node limit
Counts
328 → 504
Calls
Call 1
Inputs
-1
(-.f64 (*.f64 2 (/.f64 n f)) 1)
(-.f64 (+.f64 (*.f64 -2 (/.f64 (pow.f64 n 2) (pow.f64 f 2))) (*.f64 2 (/.f64 n f))) 1)
(-.f64 (+.f64 (*.f64 -2 (/.f64 (pow.f64 n 2) (pow.f64 f 2))) (+.f64 (*.f64 2 (/.f64 n f)) (*.f64 2 (/.f64 (pow.f64 n 3) (pow.f64 f 3))))) 1)
1
(-.f64 (+.f64 1 (*.f64 -1 (/.f64 f n))) (/.f64 f n))
(-.f64 (+.f64 1 (+.f64 (*.f64 -1 (/.f64 f n)) (*.f64 -1 (/.f64 (*.f64 f (-.f64 (*.f64 -1 f) f)) (pow.f64 n 2))))) (/.f64 f n))
(-.f64 (+.f64 1 (+.f64 (*.f64 -1 (/.f64 f n)) (+.f64 (*.f64 -1 (/.f64 (*.f64 f (-.f64 (*.f64 -1 f) f)) (pow.f64 n 2))) (/.f64 (*.f64 (pow.f64 f 2) (-.f64 (*.f64 -1 f) f)) (pow.f64 n 3))))) (/.f64 f n))
1
(-.f64 (+.f64 1 (*.f64 -1 (/.f64 f n))) (/.f64 f n))
(-.f64 (+.f64 1 (+.f64 (*.f64 -1 (/.f64 f n)) (*.f64 -1 (/.f64 (*.f64 f (-.f64 (*.f64 -1 f) f)) (pow.f64 n 2))))) (/.f64 f n))
(-.f64 (+.f64 1 (+.f64 (*.f64 -1 (/.f64 f n)) (+.f64 (*.f64 -1 (/.f64 (*.f64 f (-.f64 (*.f64 -1 f) f)) (pow.f64 n 2))) (/.f64 (*.f64 (pow.f64 f 2) (-.f64 (*.f64 -1 f) f)) (pow.f64 n 3))))) (/.f64 f n))
1
(+.f64 1 (*.f64 -2 (/.f64 f n)))
(+.f64 1 (+.f64 (*.f64 -2 (/.f64 f n)) (*.f64 2 (/.f64 (pow.f64 f 2) (pow.f64 n 2)))))
(+.f64 1 (+.f64 (*.f64 -2 (/.f64 f n)) (+.f64 (*.f64 -2 (/.f64 (pow.f64 f 3) (pow.f64 n 3))) (*.f64 2 (/.f64 (pow.f64 f 2) (pow.f64 n 2))))))
-1
(-.f64 (/.f64 n f) (+.f64 1 (*.f64 -1 (/.f64 n f))))
(-.f64 (+.f64 (*.f64 -1 (/.f64 (*.f64 n (-.f64 n (*.f64 -1 n))) (pow.f64 f 2))) (/.f64 n f)) (+.f64 1 (*.f64 -1 (/.f64 n f))))
(-.f64 (+.f64 (*.f64 -1 (/.f64 (*.f64 n (-.f64 n (*.f64 -1 n))) (pow.f64 f 2))) (+.f64 (/.f64 n f) (/.f64 (*.f64 (pow.f64 n 2) (-.f64 n (*.f64 -1 n))) (pow.f64 f 3)))) (+.f64 1 (*.f64 -1 (/.f64 n f))))
-1
(-.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 n) n) f)) 1)
(-.f64 (+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 n) n) f)) (/.f64 (*.f64 n (-.f64 (*.f64 -1 n) n)) (pow.f64 f 2))) 1)
(-.f64 (+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 n 2) (-.f64 (*.f64 -1 n) n)) (pow.f64 f 3))) (+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 n) n) f)) (/.f64 (*.f64 n (-.f64 (*.f64 -1 n) n)) (pow.f64 f 2)))) 1)
-1
(-.f64 (*.f64 -2 (/.f64 n f)) 1)
(-.f64 (+.f64 (*.f64 -2 (/.f64 n f)) (*.f64 -2 (/.f64 (pow.f64 n 2) (pow.f64 f 2)))) 1)
(-.f64 (+.f64 (*.f64 -2 (/.f64 n f)) (+.f64 (*.f64 -2 (/.f64 (pow.f64 n 2) (pow.f64 f 2))) (*.f64 -2 (/.f64 (pow.f64 n 3) (pow.f64 f 3))))) 1)
1
(-.f64 (+.f64 1 (/.f64 f n)) (*.f64 -1 (/.f64 f n)))
(-.f64 (+.f64 1 (+.f64 (/.f64 f n) (/.f64 (*.f64 f (-.f64 f (*.f64 -1 f))) (pow.f64 n 2)))) (*.f64 -1 (/.f64 f n)))
(-.f64 (+.f64 1 (+.f64 (/.f64 f n) (+.f64 (/.f64 (*.f64 f (-.f64 f (*.f64 -1 f))) (pow.f64 n 2)) (/.f64 (*.f64 (pow.f64 f 2) (-.f64 f (*.f64 -1 f))) (pow.f64 n 3))))) (*.f64 -1 (/.f64 f n)))
1
(-.f64 (+.f64 1 (/.f64 f n)) (*.f64 -1 (/.f64 f n)))
(-.f64 (+.f64 1 (+.f64 (/.f64 f n) (/.f64 (*.f64 f (-.f64 f (*.f64 -1 f))) (pow.f64 n 2)))) (*.f64 -1 (/.f64 f n)))
(-.f64 (+.f64 1 (+.f64 (/.f64 f n) (+.f64 (/.f64 (*.f64 f (-.f64 f (*.f64 -1 f))) (pow.f64 n 2)) (/.f64 (*.f64 (pow.f64 f 2) (-.f64 f (*.f64 -1 f))) (pow.f64 n 3))))) (*.f64 -1 (/.f64 f n)))
1
(+.f64 1 (*.f64 2 (/.f64 f n)))
(+.f64 1 (+.f64 (*.f64 2 (/.f64 f n)) (*.f64 2 (/.f64 (pow.f64 f 2) (pow.f64 n 2)))))
(+.f64 1 (+.f64 (*.f64 2 (/.f64 f n)) (+.f64 (*.f64 2 (/.f64 (pow.f64 f 2) (pow.f64 n 2))) (*.f64 2 (/.f64 (pow.f64 f 3) (pow.f64 n 3))))))
-1
(-.f64 (*.f64 -1 (/.f64 n f)) (+.f64 1 (/.f64 n f)))
(-.f64 (+.f64 (*.f64 -1 (/.f64 n f)) (/.f64 (*.f64 n (-.f64 (*.f64 -1 n) n)) (pow.f64 f 2))) (+.f64 1 (/.f64 n f)))
(-.f64 (+.f64 (*.f64 -1 (/.f64 n f)) (+.f64 (/.f64 (*.f64 n (-.f64 (*.f64 -1 n) n)) (pow.f64 f 2)) (/.f64 (*.f64 (pow.f64 n 2) (-.f64 (*.f64 -1 n) n)) (pow.f64 f 3)))) (+.f64 1 (/.f64 n f)))
-1
(-.f64 (*.f64 -1 (/.f64 (-.f64 n (*.f64 -1 n)) f)) 1)
(-.f64 (+.f64 (*.f64 -1 (/.f64 (*.f64 n (-.f64 n (*.f64 -1 n))) (pow.f64 f 2))) (*.f64 -1 (/.f64 (-.f64 n (*.f64 -1 n)) f))) 1)
(-.f64 (+.f64 (*.f64 -1 (/.f64 (*.f64 n (-.f64 n (*.f64 -1 n))) (pow.f64 f 2))) (+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 n 2) (-.f64 n (*.f64 -1 n))) (pow.f64 f 3))) (*.f64 -1 (/.f64 (-.f64 n (*.f64 -1 n)) f)))) 1)
(+.f64 (/.f64 n (+.f64 n f)) (neg.f64 (/.f64 f (+.f64 n f))))
(+.f64 (fma.f64 n (/.f64 1 (+.f64 n f)) (neg.f64 (*.f64 (/.f64 1 (+.f64 n f)) f))) (fma.f64 (neg.f64 (/.f64 1 (+.f64 n f))) f (*.f64 (/.f64 1 (+.f64 n f)) f)))
(+.f64 (fma.f64 n (/.f64 1 (+.f64 n f)) (neg.f64 (*.f64 (/.f64 f (+.f64 n f)) 1))) (fma.f64 (neg.f64 (/.f64 f (+.f64 n f))) 1 (*.f64 (/.f64 f (+.f64 n f)) 1)))
(+.f64 (fma.f64 n (/.f64 1 (+.f64 n f)) (neg.f64 (*.f64 (cbrt.f64 (/.f64 f (+.f64 n f))) (*.f64 (cbrt.f64 (/.f64 f (+.f64 n f))) (cbrt.f64 (/.f64 f (+.f64 n f))))))) (fma.f64 (neg.f64 (cbrt.f64 (/.f64 f (+.f64 n f)))) (*.f64 (cbrt.f64 (/.f64 f (+.f64 n f))) (cbrt.f64 (/.f64 f (+.f64 n f)))) (*.f64 (cbrt.f64 (/.f64 f (+.f64 n f))) (*.f64 (cbrt.f64 (/.f64 f (+.f64 n f))) (cbrt.f64 (/.f64 f (+.f64 n f)))))))
(+.f64 (fma.f64 n (/.f64 1 (+.f64 n f)) (neg.f64 (/.f64 f (+.f64 n f)))) (fma.f64 (neg.f64 (sqrt.f64 (/.f64 f (+.f64 n f)))) (sqrt.f64 (/.f64 f (+.f64 n f))) (/.f64 f (+.f64 n f))))
(+.f64 (fma.f64 n (/.f64 1 (+.f64 n f)) (neg.f64 (/.f64 f (+.f64 n f)))) (fma.f64 (neg.f64 (/.f64 (sqrt.f64 f) (sqrt.f64 (+.f64 n f)))) (/.f64 (sqrt.f64 f) (sqrt.f64 (+.f64 n f))) (/.f64 f (+.f64 n f))))
(+.f64 (fma.f64 n (/.f64 1 (+.f64 n f)) (neg.f64 (*.f64 (/.f64 f (cbrt.f64 (+.f64 n f))) (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 n f)) 2))))) (fma.f64 (neg.f64 (/.f64 f (cbrt.f64 (+.f64 n f)))) (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 n f)) 2)) (*.f64 (/.f64 f (cbrt.f64 (+.f64 n f))) (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 n f)) 2)))))
(+.f64 (fma.f64 n (/.f64 1 (+.f64 n f)) (neg.f64 (*.f64 (/.f64 f (sqrt.f64 (+.f64 n f))) (/.f64 1 (sqrt.f64 (+.f64 n f)))))) (fma.f64 (neg.f64 (/.f64 f (sqrt.f64 (+.f64 n f)))) (/.f64 1 (sqrt.f64 (+.f64 n f))) (*.f64 (/.f64 f (sqrt.f64 (+.f64 n f))) (/.f64 1 (sqrt.f64 (+.f64 n f))))))
(+.f64 (fma.f64 n (/.f64 1 (+.f64 n f)) (neg.f64 (*.f64 (/.f64 (cbrt.f64 f) (+.f64 n f)) (/.f64 (pow.f64 (cbrt.f64 f) 2) 1)))) (fma.f64 (neg.f64 (/.f64 (cbrt.f64 f) (+.f64 n f))) (/.f64 (pow.f64 (cbrt.f64 f) 2) 1) (*.f64 (/.f64 (cbrt.f64 f) (+.f64 n f)) (/.f64 (pow.f64 (cbrt.f64 f) 2) 1))))
(+.f64 (fma.f64 n (/.f64 1 (+.f64 n f)) (neg.f64 (*.f64 (/.f64 (cbrt.f64 f) (cbrt.f64 (+.f64 n f))) (/.f64 (pow.f64 (cbrt.f64 f) 2) (pow.f64 (cbrt.f64 (+.f64 n f)) 2))))) (fma.f64 (neg.f64 (/.f64 (cbrt.f64 f) (cbrt.f64 (+.f64 n f)))) (/.f64 (pow.f64 (cbrt.f64 f) 2) (pow.f64 (cbrt.f64 (+.f64 n f)) 2)) (*.f64 (/.f64 (cbrt.f64 f) (cbrt.f64 (+.f64 n f))) (/.f64 (pow.f64 (cbrt.f64 f) 2) (pow.f64 (cbrt.f64 (+.f64 n f)) 2)))))
(+.f64 (fma.f64 n (/.f64 1 (+.f64 n f)) (neg.f64 (*.f64 (/.f64 (cbrt.f64 f) (sqrt.f64 (+.f64 n f))) (/.f64 (pow.f64 (cbrt.f64 f) 2) (sqrt.f64 (+.f64 n f)))))) (fma.f64 (neg.f64 (/.f64 (cbrt.f64 f) (sqrt.f64 (+.f64 n f)))) (/.f64 (pow.f64 (cbrt.f64 f) 2) (sqrt.f64 (+.f64 n f))) (*.f64 (/.f64 (cbrt.f64 f) (sqrt.f64 (+.f64 n f))) (/.f64 (pow.f64 (cbrt.f64 f) 2) (sqrt.f64 (+.f64 n f))))))
(+.f64 (fma.f64 n (/.f64 1 (+.f64 n f)) (neg.f64 (*.f64 (/.f64 (sqrt.f64 f) (+.f64 n f)) (/.f64 (sqrt.f64 f) 1)))) (fma.f64 (neg.f64 (/.f64 (sqrt.f64 f) (+.f64 n f))) (/.f64 (sqrt.f64 f) 1) (*.f64 (/.f64 (sqrt.f64 f) (+.f64 n f)) (/.f64 (sqrt.f64 f) 1))))
(+.f64 (fma.f64 n (/.f64 1 (+.f64 n f)) (neg.f64 (*.f64 (/.f64 (sqrt.f64 f) (cbrt.f64 (+.f64 n f))) (/.f64 (sqrt.f64 f) (pow.f64 (cbrt.f64 (+.f64 n f)) 2))))) (fma.f64 (neg.f64 (/.f64 (sqrt.f64 f) (cbrt.f64 (+.f64 n f)))) (/.f64 (sqrt.f64 f) (pow.f64 (cbrt.f64 (+.f64 n f)) 2)) (*.f64 (/.f64 (sqrt.f64 f) (cbrt.f64 (+.f64 n f))) (/.f64 (sqrt.f64 f) (pow.f64 (cbrt.f64 (+.f64 n f)) 2)))))
(+.f64 (fma.f64 n (/.f64 1 (+.f64 n f)) (neg.f64 (*.f64 (fma.f64 f f (*.f64 n (-.f64 n f))) (/.f64 f (+.f64 (pow.f64 f 3) (pow.f64 n 3)))))) (fma.f64 (neg.f64 (fma.f64 f f (*.f64 n (-.f64 n f)))) (/.f64 f (+.f64 (pow.f64 f 3) (pow.f64 n 3))) (*.f64 (fma.f64 f f (*.f64 n (-.f64 n f))) (/.f64 f (+.f64 (pow.f64 f 3) (pow.f64 n 3))))))
(+.f64 (fma.f64 n (/.f64 1 (+.f64 n f)) (neg.f64 (*.f64 (-.f64 f n) (/.f64 f (-.f64 (pow.f64 f 2) (pow.f64 n 2)))))) (fma.f64 (neg.f64 (-.f64 f n)) (/.f64 f (-.f64 (pow.f64 f 2) (pow.f64 n 2))) (*.f64 (-.f64 f n) (/.f64 f (-.f64 (pow.f64 f 2) (pow.f64 n 2))))))
(+.f64 (fma.f64 1 (/.f64 n (+.f64 n f)) (neg.f64 (*.f64 (/.f64 1 (+.f64 n f)) f))) (fma.f64 (neg.f64 (/.f64 1 (+.f64 n f))) f (*.f64 (/.f64 1 (+.f64 n f)) f)))
(+.f64 (fma.f64 1 (/.f64 n (+.f64 n f)) (neg.f64 (*.f64 (/.f64 f (+.f64 n f)) 1))) (fma.f64 (neg.f64 (/.f64 f (+.f64 n f))) 1 (*.f64 (/.f64 f (+.f64 n f)) 1)))
(+.f64 (fma.f64 1 (/.f64 n (+.f64 n f)) (neg.f64 (*.f64 (cbrt.f64 (/.f64 f (+.f64 n f))) (*.f64 (cbrt.f64 (/.f64 f (+.f64 n f))) (cbrt.f64 (/.f64 f (+.f64 n f))))))) (fma.f64 (neg.f64 (cbrt.f64 (/.f64 f (+.f64 n f)))) (*.f64 (cbrt.f64 (/.f64 f (+.f64 n f))) (cbrt.f64 (/.f64 f (+.f64 n f)))) (*.f64 (cbrt.f64 (/.f64 f (+.f64 n f))) (*.f64 (cbrt.f64 (/.f64 f (+.f64 n f))) (cbrt.f64 (/.f64 f (+.f64 n f)))))))
(+.f64 (fma.f64 1 (/.f64 n (+.f64 n f)) (neg.f64 (/.f64 f (+.f64 n f)))) (fma.f64 (neg.f64 (sqrt.f64 (/.f64 f (+.f64 n f)))) (sqrt.f64 (/.f64 f (+.f64 n f))) (/.f64 f (+.f64 n f))))
(+.f64 (fma.f64 1 (/.f64 n (+.f64 n f)) (neg.f64 (/.f64 f (+.f64 n f)))) (fma.f64 (neg.f64 (/.f64 (sqrt.f64 f) (sqrt.f64 (+.f64 n f)))) (/.f64 (sqrt.f64 f) (sqrt.f64 (+.f64 n f))) (/.f64 f (+.f64 n f))))
(+.f64 (fma.f64 1 (/.f64 n (+.f64 n f)) (neg.f64 (*.f64 (/.f64 f (cbrt.f64 (+.f64 n f))) (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 n f)) 2))))) (fma.f64 (neg.f64 (/.f64 f (cbrt.f64 (+.f64 n f)))) (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 n f)) 2)) (*.f64 (/.f64 f (cbrt.f64 (+.f64 n f))) (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 n f)) 2)))))
(+.f64 (fma.f64 1 (/.f64 n (+.f64 n f)) (neg.f64 (*.f64 (/.f64 f (sqrt.f64 (+.f64 n f))) (/.f64 1 (sqrt.f64 (+.f64 n f)))))) (fma.f64 (neg.f64 (/.f64 f (sqrt.f64 (+.f64 n f)))) (/.f64 1 (sqrt.f64 (+.f64 n f))) (*.f64 (/.f64 f (sqrt.f64 (+.f64 n f))) (/.f64 1 (sqrt.f64 (+.f64 n f))))))
(+.f64 (fma.f64 1 (/.f64 n (+.f64 n f)) (neg.f64 (*.f64 (/.f64 (cbrt.f64 f) (+.f64 n f)) (/.f64 (pow.f64 (cbrt.f64 f) 2) 1)))) (fma.f64 (neg.f64 (/.f64 (cbrt.f64 f) (+.f64 n f))) (/.f64 (pow.f64 (cbrt.f64 f) 2) 1) (*.f64 (/.f64 (cbrt.f64 f) (+.f64 n f)) (/.f64 (pow.f64 (cbrt.f64 f) 2) 1))))
(+.f64 (fma.f64 1 (/.f64 n (+.f64 n f)) (neg.f64 (*.f64 (/.f64 (cbrt.f64 f) (cbrt.f64 (+.f64 n f))) (/.f64 (pow.f64 (cbrt.f64 f) 2) (pow.f64 (cbrt.f64 (+.f64 n f)) 2))))) (fma.f64 (neg.f64 (/.f64 (cbrt.f64 f) (cbrt.f64 (+.f64 n f)))) (/.f64 (pow.f64 (cbrt.f64 f) 2) (pow.f64 (cbrt.f64 (+.f64 n f)) 2)) (*.f64 (/.f64 (cbrt.f64 f) (cbrt.f64 (+.f64 n f))) (/.f64 (pow.f64 (cbrt.f64 f) 2) (pow.f64 (cbrt.f64 (+.f64 n f)) 2)))))
(+.f64 (fma.f64 1 (/.f64 n (+.f64 n f)) (neg.f64 (*.f64 (/.f64 (cbrt.f64 f) (sqrt.f64 (+.f64 n f))) (/.f64 (pow.f64 (cbrt.f64 f) 2) (sqrt.f64 (+.f64 n f)))))) (fma.f64 (neg.f64 (/.f64 (cbrt.f64 f) (sqrt.f64 (+.f64 n f)))) (/.f64 (pow.f64 (cbrt.f64 f) 2) (sqrt.f64 (+.f64 n f))) (*.f64 (/.f64 (cbrt.f64 f) (sqrt.f64 (+.f64 n f))) (/.f64 (pow.f64 (cbrt.f64 f) 2) (sqrt.f64 (+.f64 n f))))))
(+.f64 (fma.f64 1 (/.f64 n (+.f64 n f)) (neg.f64 (*.f64 (/.f64 (sqrt.f64 f) (+.f64 n f)) (/.f64 (sqrt.f64 f) 1)))) (fma.f64 (neg.f64 (/.f64 (sqrt.f64 f) (+.f64 n f))) (/.f64 (sqrt.f64 f) 1) (*.f64 (/.f64 (sqrt.f64 f) (+.f64 n f)) (/.f64 (sqrt.f64 f) 1))))
(+.f64 (fma.f64 1 (/.f64 n (+.f64 n f)) (neg.f64 (*.f64 (/.f64 (sqrt.f64 f) (cbrt.f64 (+.f64 n f))) (/.f64 (sqrt.f64 f) (pow.f64 (cbrt.f64 (+.f64 n f)) 2))))) (fma.f64 (neg.f64 (/.f64 (sqrt.f64 f) (cbrt.f64 (+.f64 n f)))) (/.f64 (sqrt.f64 f) (pow.f64 (cbrt.f64 (+.f64 n f)) 2)) (*.f64 (/.f64 (sqrt.f64 f) (cbrt.f64 (+.f64 n f))) (/.f64 (sqrt.f64 f) (pow.f64 (cbrt.f64 (+.f64 n f)) 2)))))
(+.f64 (fma.f64 1 (/.f64 n (+.f64 n f)) (neg.f64 (*.f64 (fma.f64 f f (*.f64 n (-.f64 n f))) (/.f64 f (+.f64 (pow.f64 f 3) (pow.f64 n 3)))))) (fma.f64 (neg.f64 (fma.f64 f f (*.f64 n (-.f64 n f)))) (/.f64 f (+.f64 (pow.f64 f 3) (pow.f64 n 3))) (*.f64 (fma.f64 f f (*.f64 n (-.f64 n f))) (/.f64 f (+.f64 (pow.f64 f 3) (pow.f64 n 3))))))
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(+.f64 (fma.f64 (/.f64 n (-.f64 (pow.f64 f 2) (pow.f64 n 2))) (-.f64 f n) (neg.f64 (*.f64 (cbrt.f64 (/.f64 f (+.f64 n f))) (*.f64 (cbrt.f64 (/.f64 f (+.f64 n f))) (cbrt.f64 (/.f64 f (+.f64 n f))))))) (fma.f64 (neg.f64 (cbrt.f64 (/.f64 f (+.f64 n f)))) (*.f64 (cbrt.f64 (/.f64 f (+.f64 n f))) (cbrt.f64 (/.f64 f (+.f64 n f)))) (*.f64 (cbrt.f64 (/.f64 f (+.f64 n f))) (*.f64 (cbrt.f64 (/.f64 f (+.f64 n f))) (cbrt.f64 (/.f64 f (+.f64 n f)))))))
(+.f64 (fma.f64 (/.f64 n (-.f64 (pow.f64 f 2) (pow.f64 n 2))) (-.f64 f n) (neg.f64 (/.f64 f (+.f64 n f)))) (fma.f64 (neg.f64 (sqrt.f64 (/.f64 f (+.f64 n f)))) (sqrt.f64 (/.f64 f (+.f64 n f))) (/.f64 f (+.f64 n f))))
(+.f64 (fma.f64 (/.f64 n (-.f64 (pow.f64 f 2) (pow.f64 n 2))) (-.f64 f n) (neg.f64 (/.f64 f (+.f64 n f)))) (fma.f64 (neg.f64 (/.f64 (sqrt.f64 f) (sqrt.f64 (+.f64 n f)))) (/.f64 (sqrt.f64 f) (sqrt.f64 (+.f64 n f))) (/.f64 f (+.f64 n f))))
(+.f64 (fma.f64 (/.f64 n (-.f64 (pow.f64 f 2) (pow.f64 n 2))) (-.f64 f n) (neg.f64 (*.f64 (/.f64 f (cbrt.f64 (+.f64 n f))) (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 n f)) 2))))) (fma.f64 (neg.f64 (/.f64 f (cbrt.f64 (+.f64 n f)))) (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 n f)) 2)) (*.f64 (/.f64 f (cbrt.f64 (+.f64 n f))) (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 n f)) 2)))))
(+.f64 (fma.f64 (/.f64 n (-.f64 (pow.f64 f 2) (pow.f64 n 2))) (-.f64 f n) (neg.f64 (*.f64 (/.f64 f (sqrt.f64 (+.f64 n f))) (/.f64 1 (sqrt.f64 (+.f64 n f)))))) (fma.f64 (neg.f64 (/.f64 f (sqrt.f64 (+.f64 n f)))) (/.f64 1 (sqrt.f64 (+.f64 n f))) (*.f64 (/.f64 f (sqrt.f64 (+.f64 n f))) (/.f64 1 (sqrt.f64 (+.f64 n f))))))
(+.f64 (fma.f64 (/.f64 n (-.f64 (pow.f64 f 2) (pow.f64 n 2))) (-.f64 f n) (neg.f64 (*.f64 (/.f64 (cbrt.f64 f) (+.f64 n f)) (/.f64 (pow.f64 (cbrt.f64 f) 2) 1)))) (fma.f64 (neg.f64 (/.f64 (cbrt.f64 f) (+.f64 n f))) (/.f64 (pow.f64 (cbrt.f64 f) 2) 1) (*.f64 (/.f64 (cbrt.f64 f) (+.f64 n f)) (/.f64 (pow.f64 (cbrt.f64 f) 2) 1))))
(+.f64 (fma.f64 (/.f64 n (-.f64 (pow.f64 f 2) (pow.f64 n 2))) (-.f64 f n) (neg.f64 (*.f64 (/.f64 (cbrt.f64 f) (cbrt.f64 (+.f64 n f))) (/.f64 (pow.f64 (cbrt.f64 f) 2) (pow.f64 (cbrt.f64 (+.f64 n f)) 2))))) (fma.f64 (neg.f64 (/.f64 (cbrt.f64 f) (cbrt.f64 (+.f64 n f)))) (/.f64 (pow.f64 (cbrt.f64 f) 2) (pow.f64 (cbrt.f64 (+.f64 n f)) 2)) (*.f64 (/.f64 (cbrt.f64 f) (cbrt.f64 (+.f64 n f))) (/.f64 (pow.f64 (cbrt.f64 f) 2) (pow.f64 (cbrt.f64 (+.f64 n f)) 2)))))
(+.f64 (fma.f64 (/.f64 n (-.f64 (pow.f64 f 2) (pow.f64 n 2))) (-.f64 f n) (neg.f64 (*.f64 (/.f64 (cbrt.f64 f) (sqrt.f64 (+.f64 n f))) (/.f64 (pow.f64 (cbrt.f64 f) 2) (sqrt.f64 (+.f64 n f)))))) (fma.f64 (neg.f64 (/.f64 (cbrt.f64 f) (sqrt.f64 (+.f64 n f)))) (/.f64 (pow.f64 (cbrt.f64 f) 2) (sqrt.f64 (+.f64 n f))) (*.f64 (/.f64 (cbrt.f64 f) (sqrt.f64 (+.f64 n f))) (/.f64 (pow.f64 (cbrt.f64 f) 2) (sqrt.f64 (+.f64 n f))))))
(+.f64 (fma.f64 (/.f64 n (-.f64 (pow.f64 f 2) (pow.f64 n 2))) (-.f64 f n) (neg.f64 (*.f64 (/.f64 (sqrt.f64 f) (+.f64 n f)) (/.f64 (sqrt.f64 f) 1)))) (fma.f64 (neg.f64 (/.f64 (sqrt.f64 f) (+.f64 n f))) (/.f64 (sqrt.f64 f) 1) (*.f64 (/.f64 (sqrt.f64 f) (+.f64 n f)) (/.f64 (sqrt.f64 f) 1))))
(+.f64 (fma.f64 (/.f64 n (-.f64 (pow.f64 f 2) (pow.f64 n 2))) (-.f64 f n) (neg.f64 (*.f64 (/.f64 (sqrt.f64 f) (cbrt.f64 (+.f64 n f))) (/.f64 (sqrt.f64 f) (pow.f64 (cbrt.f64 (+.f64 n f)) 2))))) (fma.f64 (neg.f64 (/.f64 (sqrt.f64 f) (cbrt.f64 (+.f64 n f)))) (/.f64 (sqrt.f64 f) (pow.f64 (cbrt.f64 (+.f64 n f)) 2)) (*.f64 (/.f64 (sqrt.f64 f) (cbrt.f64 (+.f64 n f))) (/.f64 (sqrt.f64 f) (pow.f64 (cbrt.f64 (+.f64 n f)) 2)))))
(+.f64 (fma.f64 (/.f64 n (-.f64 (pow.f64 f 2) (pow.f64 n 2))) (-.f64 f n) (neg.f64 (*.f64 (fma.f64 f f (*.f64 n (-.f64 n f))) (/.f64 f (+.f64 (pow.f64 f 3) (pow.f64 n 3)))))) (fma.f64 (neg.f64 (fma.f64 f f (*.f64 n (-.f64 n f)))) (/.f64 f (+.f64 (pow.f64 f 3) (pow.f64 n 3))) (*.f64 (fma.f64 f f (*.f64 n (-.f64 n f))) (/.f64 f (+.f64 (pow.f64 f 3) (pow.f64 n 3))))))
(+.f64 (fma.f64 (/.f64 n (-.f64 (pow.f64 f 2) (pow.f64 n 2))) (-.f64 f n) (neg.f64 (*.f64 (-.f64 f n) (/.f64 f (-.f64 (pow.f64 f 2) (pow.f64 n 2)))))) (fma.f64 (neg.f64 (-.f64 f n)) (/.f64 f (-.f64 (pow.f64 f 2) (pow.f64 n 2))) (*.f64 (-.f64 f n) (/.f64 f (-.f64 (pow.f64 f 2) (pow.f64 n 2))))))
(-.f64 (/.f64 n (+.f64 n f)) (/.f64 f (+.f64 n f)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (-.f64 n f) (+.f64 n f)))) 1)
(-.f64 (/.f64 (/.f64 n (+.f64 n f)) 1) (/.f64 (/.f64 f (+.f64 n f)) 1))
(*.f64 (-.f64 n f) (/.f64 1 (+.f64 n f)))
(*.f64 (/.f64 (-.f64 n f) (+.f64 n f)) 1)
(*.f64 1 (/.f64 (-.f64 n f) (+.f64 n f)))
(*.f64 (cbrt.f64 (/.f64 (-.f64 n f) (+.f64 n f))) (pow.f64 (cbrt.f64 (/.f64 (-.f64 n f) (+.f64 n f))) 2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 n f) (+.f64 n f))) 2) (cbrt.f64 (/.f64 (-.f64 n f) (+.f64 n f))))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 n f)) 2) (*.f64 (cbrt.f64 (-.f64 n f)) (/.f64 1 (+.f64 n f))))
(*.f64 (sqrt.f64 (/.f64 (-.f64 n f) (+.f64 n f))) (sqrt.f64 (/.f64 (-.f64 n f) (+.f64 n f))))
(*.f64 (sqrt.f64 (-.f64 n f)) (*.f64 (sqrt.f64 (-.f64 n f)) (/.f64 1 (+.f64 n f))))
(*.f64 (neg.f64 (-.f64 n f)) (/.f64 1 (neg.f64 (+.f64 n f))))
(*.f64 (/.f64 1 (+.f64 n f)) (-.f64 n f))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 n f)) 2)) (/.f64 (-.f64 n f) (cbrt.f64 (+.f64 n f))))
(*.f64 (/.f64 1 (sqrt.f64 (+.f64 n f))) (/.f64 (-.f64 n f) (sqrt.f64 (+.f64 n f))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 n f)) 2) 1) (/.f64 (cbrt.f64 (-.f64 n f)) (+.f64 n f)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 n f)) 2) (pow.f64 (cbrt.f64 (+.f64 n f)) 2)) (cbrt.f64 (/.f64 (-.f64 n f) (+.f64 n f))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 n f)) 2) (sqrt.f64 (+.f64 n f))) (/.f64 (cbrt.f64 (-.f64 n f)) (sqrt.f64 (+.f64 n f))))
(*.f64 (/.f64 (sqrt.f64 (-.f64 n f)) 1) (/.f64 (sqrt.f64 (-.f64 n f)) (+.f64 n f)))
(*.f64 (/.f64 (sqrt.f64 (-.f64 n f)) (pow.f64 (cbrt.f64 (+.f64 n f)) 2)) (/.f64 (sqrt.f64 (-.f64 n f)) (cbrt.f64 (+.f64 n f))))
(*.f64 (/.f64 (-.f64 n f) (+.f64 (pow.f64 f 3) (pow.f64 n 3))) (fma.f64 f f (*.f64 n (-.f64 n f))))
(*.f64 (/.f64 (-.f64 n f) (-.f64 (pow.f64 f 2) (pow.f64 n 2))) (-.f64 f n))
(pow.f64 (/.f64 (-.f64 n f) (+.f64 n f)) 1)
(pow.f64 (/.f64 (+.f64 n f) (-.f64 n f)) -1)
(pow.f64 (cbrt.f64 (/.f64 (-.f64 n f) (+.f64 n f))) 3)
(pow.f64 (pow.f64 (/.f64 (-.f64 n f) (+.f64 n f)) 3) 1/3)
(pow.f64 (sqrt.f64 (/.f64 (-.f64 n f) (+.f64 n f))) 2)
(neg.f64 (/.f64 (-.f64 n f) (neg.f64 (+.f64 n f))))
(sqrt.f64 (pow.f64 (/.f64 (-.f64 n f) (+.f64 n f)) 2))
(log.f64 (exp.f64 (/.f64 (-.f64 n f) (+.f64 n f))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (-.f64 n f) (+.f64 n f)))))
(cbrt.f64 (pow.f64 (/.f64 (-.f64 n f) (+.f64 n f)) 3))
(cbrt.f64 (/.f64 (pow.f64 (-.f64 n f) 3) (pow.f64 (+.f64 n f) 3)))
(expm1.f64 (log1p.f64 (/.f64 (-.f64 n f) (+.f64 n f))))
(exp.f64 (log.f64 (/.f64 (-.f64 n f) (+.f64 n f))))
(exp.f64 (*.f64 (log.f64 (/.f64 (-.f64 n f) (+.f64 n f))) 1))
(log1p.f64 (expm1.f64 (/.f64 (-.f64 n f) (+.f64 n f))))
(+.f64 (*.f64 (/.f64 1 (-.f64 n f)) n) (*.f64 (/.f64 1 (-.f64 n f)) f))
(+.f64 (*.f64 (/.f64 1 (-.f64 n f)) f) (*.f64 (/.f64 1 (-.f64 n f)) n))
(+.f64 (*.f64 n (/.f64 1 (-.f64 n f))) (*.f64 f (/.f64 1 (-.f64 n f))))
(+.f64 (*.f64 f (/.f64 1 (-.f64 n f))) (*.f64 n (/.f64 1 (-.f64 n f))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (+.f64 n f) (-.f64 n f)))) 1)
(*.f64 (+.f64 n f) (/.f64 1 (-.f64 n f)))
(*.f64 1 (/.f64 (+.f64 n f) (-.f64 n f)))
(*.f64 (/.f64 (+.f64 n f) (-.f64 n f)) 1)
(*.f64 -1 (/.f64 1 (/.f64 (neg.f64 (-.f64 n f)) (+.f64 n f))))
(*.f64 (cbrt.f64 (/.f64 (+.f64 n f) (-.f64 n f))) (pow.f64 (cbrt.f64 (/.f64 (+.f64 n f) (-.f64 n f))) 2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 n f) (-.f64 n f))) 2) (cbrt.f64 (/.f64 (+.f64 n f) (-.f64 n f))))
(*.f64 (sqrt.f64 (/.f64 (+.f64 n f) (-.f64 n f))) (sqrt.f64 (/.f64 (+.f64 n f) (-.f64 n f))))
(*.f64 (/.f64 1 (-.f64 n f)) (+.f64 n f))
(*.f64 (/.f64 1 (-.f64 n f)) (pow.f64 (/.f64 1 (+.f64 n f)) -1))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 n f) (+.f64 n f))) 2) -1) (pow.f64 (cbrt.f64 (/.f64 (-.f64 n f) (+.f64 n f))) -1))
(*.f64 (pow.f64 (sqrt.f64 (/.f64 (-.f64 n f) (+.f64 n f))) -1) (pow.f64 (sqrt.f64 (/.f64 (-.f64 n f) (+.f64 n f))) -1))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (-.f64 n f)) 2)) (/.f64 (+.f64 n f) (cbrt.f64 (-.f64 n f))))
(*.f64 (/.f64 1 (sqrt.f64 (-.f64 n f))) (/.f64 (+.f64 n f) (sqrt.f64 (-.f64 n f))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 n f)) 2) 1) (/.f64 (cbrt.f64 (+.f64 n f)) (-.f64 n f)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 n f)) 2) (pow.f64 (cbrt.f64 (-.f64 n f)) 2)) (/.f64 (cbrt.f64 (+.f64 n f)) (cbrt.f64 (-.f64 n f))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 n f)) 2) (sqrt.f64 (-.f64 n f))) (/.f64 (cbrt.f64 (+.f64 n f)) (sqrt.f64 (-.f64 n f))))
(*.f64 (/.f64 (sqrt.f64 (+.f64 n f)) 1) (/.f64 (sqrt.f64 (+.f64 n f)) (-.f64 n f)))
(*.f64 (/.f64 (sqrt.f64 (+.f64 n f)) (pow.f64 (cbrt.f64 (-.f64 n f)) 2)) (/.f64 (sqrt.f64 (+.f64 n f)) (cbrt.f64 (-.f64 n f))))
(*.f64 (/.f64 (sqrt.f64 (+.f64 n f)) (sqrt.f64 (-.f64 n f))) (/.f64 (sqrt.f64 (+.f64 n f)) (sqrt.f64 (-.f64 n f))))
(*.f64 (/.f64 (+.f64 n f) (-.f64 (pow.f64 n 2) (pow.f64 f 2))) (+.f64 n f))
(*.f64 (*.f64 (/.f64 1 (-.f64 n f)) 1) (+.f64 n f))
(*.f64 (*.f64 (/.f64 1 (-.f64 n f)) (pow.f64 (cbrt.f64 (+.f64 n f)) 2)) (cbrt.f64 (+.f64 n f)))
(*.f64 (*.f64 (/.f64 1 (-.f64 n f)) (sqrt.f64 (+.f64 n f))) (sqrt.f64 (+.f64 n f)))
(*.f64 (/.f64 1 (neg.f64 (-.f64 n f))) (neg.f64 (+.f64 n f)))
(*.f64 (/.f64 (+.f64 n f) (-.f64 (pow.f64 n 3) (pow.f64 f 3))) (fma.f64 n n (*.f64 f (+.f64 n f))))
(pow.f64 (/.f64 (-.f64 n f) (+.f64 n f)) -1)
(pow.f64 (/.f64 (+.f64 n f) (-.f64 n f)) 1)
(pow.f64 (cbrt.f64 (/.f64 (+.f64 n f) (-.f64 n f))) 3)
(pow.f64 (pow.f64 (/.f64 (+.f64 n f) (-.f64 n f)) 3) 1/3)
(pow.f64 (sqrt.f64 (/.f64 (+.f64 n f) (-.f64 n f))) 2)
(sqrt.f64 (pow.f64 (/.f64 (-.f64 n f) (+.f64 n f)) -2))
(log.f64 (exp.f64 (/.f64 (+.f64 n f) (-.f64 n f))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (+.f64 n f) (-.f64 n f)))))
(cbrt.f64 (pow.f64 (/.f64 (+.f64 n f) (-.f64 n f)) 3))
(cbrt.f64 (/.f64 (pow.f64 (+.f64 n f) 3) (pow.f64 (-.f64 n f) 3)))
(expm1.f64 (log1p.f64 (/.f64 (+.f64 n f) (-.f64 n f))))
(exp.f64 (log.f64 (/.f64 (+.f64 n f) (-.f64 n f))))
(exp.f64 (*.f64 (log.f64 (/.f64 (-.f64 n f) (+.f64 n f))) -1))
(exp.f64 (*.f64 (log.f64 (/.f64 (+.f64 n f) (-.f64 n f))) 1))
(exp.f64 (-.f64 (log.f64 (+.f64 n f)) (log.f64 (-.f64 n f))))
(log1p.f64 (expm1.f64 (/.f64 (+.f64 n f) (-.f64 n f))))
Outputs
-1
(-.f64 (*.f64 2 (/.f64 n f)) 1)
(fma.f64 2 (/.f64 n f) -1)
(-.f64 (+.f64 (*.f64 -2 (/.f64 (pow.f64 n 2) (pow.f64 f 2))) (*.f64 2 (/.f64 n f))) 1)
(+.f64 (*.f64 -2 (/.f64 (pow.f64 n 2) (pow.f64 f 2))) (fma.f64 2 (/.f64 n f) -1))
(fma.f64 -2 (/.f64 (pow.f64 n 2) (pow.f64 f 2)) (fma.f64 2 (/.f64 n f) -1))
(-.f64 (+.f64 (*.f64 -2 (/.f64 (pow.f64 n 2) (pow.f64 f 2))) (+.f64 (*.f64 2 (/.f64 n f)) (*.f64 2 (/.f64 (pow.f64 n 3) (pow.f64 f 3))))) 1)
(+.f64 (fma.f64 -2 (/.f64 (pow.f64 n 2) (pow.f64 f 2)) (*.f64 2 (+.f64 (/.f64 n f) (/.f64 (pow.f64 n 3) (pow.f64 f 3))))) -1)
(fma.f64 -2 (/.f64 (pow.f64 n 2) (pow.f64 f 2)) (fma.f64 2 (+.f64 (/.f64 n f) (/.f64 (pow.f64 n 3) (pow.f64 f 3))) -1))
1
(-.f64 (+.f64 1 (*.f64 -1 (/.f64 f n))) (/.f64 f n))
(-.f64 (+.f64 1 (/.f64 (neg.f64 f) n)) (/.f64 f n))
(-.f64 (-.f64 1 (/.f64 f n)) (/.f64 f n))
(-.f64 (+.f64 1 (+.f64 (*.f64 -1 (/.f64 f n)) (*.f64 -1 (/.f64 (*.f64 f (-.f64 (*.f64 -1 f) f)) (pow.f64 n 2))))) (/.f64 f n))
(-.f64 (+.f64 1 (*.f64 -1 (+.f64 (/.f64 f n) (/.f64 (*.f64 f (-.f64 (neg.f64 f) f)) (pow.f64 n 2))))) (/.f64 f n))
(-.f64 (-.f64 (-.f64 1 (/.f64 f n)) (*.f64 (/.f64 f (pow.f64 n 2)) (*.f64 f -2))) (/.f64 f n))
(-.f64 (+.f64 1 (+.f64 (*.f64 -1 (/.f64 f n)) (+.f64 (*.f64 -1 (/.f64 (*.f64 f (-.f64 (*.f64 -1 f) f)) (pow.f64 n 2))) (/.f64 (*.f64 (pow.f64 f 2) (-.f64 (*.f64 -1 f) f)) (pow.f64 n 3))))) (/.f64 f n))
(+.f64 1 (-.f64 (fma.f64 -1 (/.f64 f n) (fma.f64 -1 (/.f64 (*.f64 f (-.f64 (neg.f64 f) f)) (pow.f64 n 2)) (/.f64 (pow.f64 f 2) (/.f64 (pow.f64 n 3) (-.f64 (neg.f64 f) f))))) (/.f64 f n)))
(+.f64 1 (-.f64 (-.f64 (-.f64 (*.f64 -2 (/.f64 (pow.f64 f 3) (pow.f64 n 3))) (*.f64 (/.f64 f (pow.f64 n 2)) (*.f64 f -2))) (/.f64 f n)) (/.f64 f n)))
1
(-.f64 (+.f64 1 (*.f64 -1 (/.f64 f n))) (/.f64 f n))
(-.f64 (+.f64 1 (/.f64 (neg.f64 f) n)) (/.f64 f n))
(-.f64 (-.f64 1 (/.f64 f n)) (/.f64 f n))
(-.f64 (+.f64 1 (+.f64 (*.f64 -1 (/.f64 f n)) (*.f64 -1 (/.f64 (*.f64 f (-.f64 (*.f64 -1 f) f)) (pow.f64 n 2))))) (/.f64 f n))
(-.f64 (+.f64 1 (*.f64 -1 (+.f64 (/.f64 f n) (/.f64 (*.f64 f (-.f64 (neg.f64 f) f)) (pow.f64 n 2))))) (/.f64 f n))
(-.f64 (-.f64 (-.f64 1 (/.f64 f n)) (*.f64 (/.f64 f (pow.f64 n 2)) (*.f64 f -2))) (/.f64 f n))
(-.f64 (+.f64 1 (+.f64 (*.f64 -1 (/.f64 f n)) (+.f64 (*.f64 -1 (/.f64 (*.f64 f (-.f64 (*.f64 -1 f) f)) (pow.f64 n 2))) (/.f64 (*.f64 (pow.f64 f 2) (-.f64 (*.f64 -1 f) f)) (pow.f64 n 3))))) (/.f64 f n))
(+.f64 1 (-.f64 (fma.f64 -1 (/.f64 f n) (fma.f64 -1 (/.f64 (*.f64 f (-.f64 (neg.f64 f) f)) (pow.f64 n 2)) (/.f64 (pow.f64 f 2) (/.f64 (pow.f64 n 3) (-.f64 (neg.f64 f) f))))) (/.f64 f n)))
(+.f64 1 (-.f64 (-.f64 (-.f64 (*.f64 -2 (/.f64 (pow.f64 f 3) (pow.f64 n 3))) (*.f64 (/.f64 f (pow.f64 n 2)) (*.f64 f -2))) (/.f64 f n)) (/.f64 f n)))
1
(+.f64 1 (*.f64 -2 (/.f64 f n)))
(fma.f64 -2 (/.f64 f n) 1)
(+.f64 1 (+.f64 (*.f64 -2 (/.f64 f n)) (*.f64 2 (/.f64 (pow.f64 f 2) (pow.f64 n 2)))))
(+.f64 1 (fma.f64 -2 (/.f64 f n) (*.f64 2 (/.f64 (pow.f64 f 2) (pow.f64 n 2)))))
(+.f64 1 (fma.f64 2 (/.f64 (pow.f64 f 2) (pow.f64 n 2)) (*.f64 -2 (/.f64 f n))))
(+.f64 1 (+.f64 (*.f64 -2 (/.f64 f n)) (+.f64 (*.f64 -2 (/.f64 (pow.f64 f 3) (pow.f64 n 3))) (*.f64 2 (/.f64 (pow.f64 f 2) (pow.f64 n 2))))))
(+.f64 1 (fma.f64 -2 (/.f64 f n) (fma.f64 -2 (/.f64 (pow.f64 f 3) (pow.f64 n 3)) (*.f64 2 (/.f64 (pow.f64 f 2) (pow.f64 n 2))))))
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-1
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(+.f64 (fma.f64 (neg.f64 (-.f64 f n)) (/.f64 f (-.f64 (pow.f64 f 2) (pow.f64 n 2))) (*.f64 (-.f64 f n) (/.f64 f (-.f64 (pow.f64 f 2) (pow.f64 n 2))))) (fma.f64 (/.f64 n (-.f64 (pow.f64 f 2) (pow.f64 n 2))) (-.f64 f n) (*.f64 (-.f64 f n) (neg.f64 (/.f64 f (-.f64 (pow.f64 f 2) (pow.f64 n 2)))))))
(+.f64 (*.f64 0 (/.f64 (-.f64 f n) (/.f64 (-.f64 (pow.f64 f 2) (pow.f64 n 2)) f))) (fma.f64 (/.f64 n (-.f64 (pow.f64 f 2) (pow.f64 n 2))) (-.f64 f n) (*.f64 (-.f64 n f) (/.f64 f (-.f64 (pow.f64 f 2) (pow.f64 n 2))))))
(+.f64 (*.f64 0 (/.f64 (-.f64 f n) (/.f64 (-.f64 (pow.f64 f 2) (pow.f64 n 2)) f))) (fma.f64 (-.f64 f n) (/.f64 n (-.f64 (pow.f64 f 2) (pow.f64 n 2))) (*.f64 (-.f64 n f) (/.f64 f (-.f64 (pow.f64 f 2) (pow.f64 n 2))))))
(-.f64 (/.f64 n (+.f64 n f)) (/.f64 f (+.f64 n f)))
(/.f64 (-.f64 n f) (+.f64 n f))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (-.f64 n f) (+.f64 n f)))) 1)
(/.f64 (-.f64 n f) (+.f64 n f))
(-.f64 (/.f64 (/.f64 n (+.f64 n f)) 1) (/.f64 (/.f64 f (+.f64 n f)) 1))
(/.f64 (-.f64 n f) (+.f64 n f))
(*.f64 (-.f64 n f) (/.f64 1 (+.f64 n f)))
(/.f64 (-.f64 n f) (+.f64 n f))
(*.f64 (/.f64 (-.f64 n f) (+.f64 n f)) 1)
(/.f64 (-.f64 n f) (+.f64 n f))
(*.f64 1 (/.f64 (-.f64 n f) (+.f64 n f)))
(/.f64 (-.f64 n f) (+.f64 n f))
(*.f64 (cbrt.f64 (/.f64 (-.f64 n f) (+.f64 n f))) (pow.f64 (cbrt.f64 (/.f64 (-.f64 n f) (+.f64 n f))) 2))
(/.f64 (-.f64 n f) (+.f64 n f))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 n f) (+.f64 n f))) 2) (cbrt.f64 (/.f64 (-.f64 n f) (+.f64 n f))))
(/.f64 (-.f64 n f) (+.f64 n f))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 n f)) 2) (*.f64 (cbrt.f64 (-.f64 n f)) (/.f64 1 (+.f64 n f))))
(/.f64 (-.f64 n f) (+.f64 n f))
(*.f64 (sqrt.f64 (/.f64 (-.f64 n f) (+.f64 n f))) (sqrt.f64 (/.f64 (-.f64 n f) (+.f64 n f))))
(/.f64 (-.f64 n f) (+.f64 n f))
(*.f64 (sqrt.f64 (-.f64 n f)) (*.f64 (sqrt.f64 (-.f64 n f)) (/.f64 1 (+.f64 n f))))
(/.f64 (-.f64 n f) (+.f64 n f))
(*.f64 (neg.f64 (-.f64 n f)) (/.f64 1 (neg.f64 (+.f64 n f))))
(/.f64 (-.f64 n f) (+.f64 n f))
(*.f64 (/.f64 1 (+.f64 n f)) (-.f64 n f))
(/.f64 (-.f64 n f) (+.f64 n f))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 n f)) 2)) (/.f64 (-.f64 n f) (cbrt.f64 (+.f64 n f))))
(/.f64 (-.f64 n f) (+.f64 n f))
(*.f64 (/.f64 1 (sqrt.f64 (+.f64 n f))) (/.f64 (-.f64 n f) (sqrt.f64 (+.f64 n f))))
(/.f64 (-.f64 n f) (+.f64 n f))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 n f)) 2) 1) (/.f64 (cbrt.f64 (-.f64 n f)) (+.f64 n f)))
(/.f64 (-.f64 n f) (+.f64 n f))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 n f)) 2) (pow.f64 (cbrt.f64 (+.f64 n f)) 2)) (cbrt.f64 (/.f64 (-.f64 n f) (+.f64 n f))))
(*.f64 (cbrt.f64 (/.f64 (-.f64 n f) (+.f64 n f))) (/.f64 (pow.f64 (cbrt.f64 (-.f64 n f)) 2) (pow.f64 (cbrt.f64 (+.f64 n f)) 2)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 n f)) 2) (sqrt.f64 (+.f64 n f))) (/.f64 (cbrt.f64 (-.f64 n f)) (sqrt.f64 (+.f64 n f))))
(/.f64 (-.f64 n f) (+.f64 n f))
(*.f64 (/.f64 (sqrt.f64 (-.f64 n f)) 1) (/.f64 (sqrt.f64 (-.f64 n f)) (+.f64 n f)))
(/.f64 (-.f64 n f) (+.f64 n f))
(*.f64 (/.f64 (sqrt.f64 (-.f64 n f)) (pow.f64 (cbrt.f64 (+.f64 n f)) 2)) (/.f64 (sqrt.f64 (-.f64 n f)) (cbrt.f64 (+.f64 n f))))
(/.f64 (-.f64 n f) (+.f64 n f))
(*.f64 (/.f64 (-.f64 n f) (+.f64 (pow.f64 f 3) (pow.f64 n 3))) (fma.f64 f f (*.f64 n (-.f64 n f))))
(*.f64 (fma.f64 f f (*.f64 n (-.f64 n f))) (/.f64 (-.f64 n f) (+.f64 (pow.f64 n 3) (pow.f64 f 3))))
(*.f64 (/.f64 (-.f64 n f) (-.f64 (pow.f64 f 2) (pow.f64 n 2))) (-.f64 f n))
(*.f64 (-.f64 f n) (/.f64 (-.f64 n f) (-.f64 (pow.f64 f 2) (pow.f64 n 2))))
(/.f64 (-.f64 n f) (/.f64 (-.f64 (pow.f64 f 2) (pow.f64 n 2)) (-.f64 f n)))
(pow.f64 (/.f64 (-.f64 n f) (+.f64 n f)) 1)
(/.f64 (-.f64 n f) (+.f64 n f))
(pow.f64 (/.f64 (+.f64 n f) (-.f64 n f)) -1)
(/.f64 (-.f64 n f) (+.f64 n f))
(pow.f64 (cbrt.f64 (/.f64 (-.f64 n f) (+.f64 n f))) 3)
(/.f64 (-.f64 n f) (+.f64 n f))
(pow.f64 (pow.f64 (/.f64 (-.f64 n f) (+.f64 n f)) 3) 1/3)
(/.f64 (-.f64 n f) (+.f64 n f))
(pow.f64 (sqrt.f64 (/.f64 (-.f64 n f) (+.f64 n f))) 2)
(/.f64 (-.f64 n f) (+.f64 n f))
(neg.f64 (/.f64 (-.f64 n f) (neg.f64 (+.f64 n f))))
(/.f64 (-.f64 n f) (+.f64 n f))
(sqrt.f64 (pow.f64 (/.f64 (-.f64 n f) (+.f64 n f)) 2))
(fabs.f64 (/.f64 (-.f64 n f) (+.f64 n f)))
(log.f64 (exp.f64 (/.f64 (-.f64 n f) (+.f64 n f))))
(/.f64 (-.f64 n f) (+.f64 n f))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (-.f64 n f) (+.f64 n f)))))
(/.f64 (-.f64 n f) (+.f64 n f))
(cbrt.f64 (pow.f64 (/.f64 (-.f64 n f) (+.f64 n f)) 3))
(/.f64 (-.f64 n f) (+.f64 n f))
(cbrt.f64 (/.f64 (pow.f64 (-.f64 n f) 3) (pow.f64 (+.f64 n f) 3)))
(/.f64 (-.f64 n f) (+.f64 n f))
(expm1.f64 (log1p.f64 (/.f64 (-.f64 n f) (+.f64 n f))))
(/.f64 (-.f64 n f) (+.f64 n f))
(exp.f64 (log.f64 (/.f64 (-.f64 n f) (+.f64 n f))))
(/.f64 (-.f64 n f) (+.f64 n f))
(exp.f64 (*.f64 (log.f64 (/.f64 (-.f64 n f) (+.f64 n f))) 1))
(/.f64 (-.f64 n f) (+.f64 n f))
(log1p.f64 (expm1.f64 (/.f64 (-.f64 n f) (+.f64 n f))))
(/.f64 (-.f64 n f) (+.f64 n f))
(+.f64 (*.f64 (/.f64 1 (-.f64 n f)) n) (*.f64 (/.f64 1 (-.f64 n f)) f))
(/.f64 (+.f64 n f) (-.f64 n f))
(+.f64 (*.f64 (/.f64 1 (-.f64 n f)) f) (*.f64 (/.f64 1 (-.f64 n f)) n))
(/.f64 (+.f64 n f) (-.f64 n f))
(+.f64 (*.f64 n (/.f64 1 (-.f64 n f))) (*.f64 f (/.f64 1 (-.f64 n f))))
(/.f64 (+.f64 n f) (-.f64 n f))
(+.f64 (*.f64 f (/.f64 1 (-.f64 n f))) (*.f64 n (/.f64 1 (-.f64 n f))))
(/.f64 (+.f64 n f) (-.f64 n f))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (+.f64 n f) (-.f64 n f)))) 1)
(/.f64 (+.f64 n f) (-.f64 n f))
(*.f64 (+.f64 n f) (/.f64 1 (-.f64 n f)))
(/.f64 (+.f64 n f) (-.f64 n f))
(*.f64 1 (/.f64 (+.f64 n f) (-.f64 n f)))
(/.f64 (+.f64 n f) (-.f64 n f))
(*.f64 (/.f64 (+.f64 n f) (-.f64 n f)) 1)
(/.f64 (+.f64 n f) (-.f64 n f))
(*.f64 -1 (/.f64 1 (/.f64 (neg.f64 (-.f64 n f)) (+.f64 n f))))
(/.f64 (+.f64 n f) (-.f64 n f))
(*.f64 (cbrt.f64 (/.f64 (+.f64 n f) (-.f64 n f))) (pow.f64 (cbrt.f64 (/.f64 (+.f64 n f) (-.f64 n f))) 2))
(/.f64 (+.f64 n f) (-.f64 n f))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 n f) (-.f64 n f))) 2) (cbrt.f64 (/.f64 (+.f64 n f) (-.f64 n f))))
(/.f64 (+.f64 n f) (-.f64 n f))
(*.f64 (sqrt.f64 (/.f64 (+.f64 n f) (-.f64 n f))) (sqrt.f64 (/.f64 (+.f64 n f) (-.f64 n f))))
(/.f64 (+.f64 n f) (-.f64 n f))
(*.f64 (/.f64 1 (-.f64 n f)) (+.f64 n f))
(/.f64 (+.f64 n f) (-.f64 n f))
(*.f64 (/.f64 1 (-.f64 n f)) (pow.f64 (/.f64 1 (+.f64 n f)) -1))
(/.f64 (+.f64 n f) (-.f64 n f))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 n f) (+.f64 n f))) 2) -1) (pow.f64 (cbrt.f64 (/.f64 (-.f64 n f) (+.f64 n f))) -1))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (/.f64 (-.f64 n f) (+.f64 n f))) 2)) (/.f64 1 (cbrt.f64 (/.f64 (-.f64 n f) (+.f64 n f)))))
(*.f64 (pow.f64 (sqrt.f64 (/.f64 (-.f64 n f) (+.f64 n f))) -1) (pow.f64 (sqrt.f64 (/.f64 (-.f64 n f) (+.f64 n f))) -1))
(pow.f64 (sqrt.f64 (/.f64 (-.f64 n f) (+.f64 n f))) -2)
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (-.f64 n f)) 2)) (/.f64 (+.f64 n f) (cbrt.f64 (-.f64 n f))))
(/.f64 (+.f64 n f) (-.f64 n f))
(*.f64 (/.f64 1 (sqrt.f64 (-.f64 n f))) (/.f64 (+.f64 n f) (sqrt.f64 (-.f64 n f))))
(/.f64 (+.f64 n f) (-.f64 n f))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 n f)) 2) 1) (/.f64 (cbrt.f64 (+.f64 n f)) (-.f64 n f)))
(/.f64 (+.f64 n f) (-.f64 n f))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 n f)) 2) (pow.f64 (cbrt.f64 (-.f64 n f)) 2)) (/.f64 (cbrt.f64 (+.f64 n f)) (cbrt.f64 (-.f64 n f))))
(/.f64 (+.f64 n f) (-.f64 n f))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 n f)) 2) (sqrt.f64 (-.f64 n f))) (/.f64 (cbrt.f64 (+.f64 n f)) (sqrt.f64 (-.f64 n f))))
(/.f64 (+.f64 n f) (-.f64 n f))
(*.f64 (/.f64 (sqrt.f64 (+.f64 n f)) 1) (/.f64 (sqrt.f64 (+.f64 n f)) (-.f64 n f)))
(/.f64 (+.f64 n f) (-.f64 n f))
(*.f64 (/.f64 (sqrt.f64 (+.f64 n f)) (pow.f64 (cbrt.f64 (-.f64 n f)) 2)) (/.f64 (sqrt.f64 (+.f64 n f)) (cbrt.f64 (-.f64 n f))))
(/.f64 (+.f64 n f) (-.f64 n f))
(*.f64 (/.f64 (sqrt.f64 (+.f64 n f)) (sqrt.f64 (-.f64 n f))) (/.f64 (sqrt.f64 (+.f64 n f)) (sqrt.f64 (-.f64 n f))))
(/.f64 (+.f64 n f) (-.f64 n f))
(*.f64 (/.f64 (+.f64 n f) (-.f64 (pow.f64 n 2) (pow.f64 f 2))) (+.f64 n f))
(*.f64 (+.f64 n f) (/.f64 (+.f64 n f) (-.f64 (pow.f64 n 2) (pow.f64 f 2))))
(/.f64 (*.f64 (+.f64 n f) (+.f64 n f)) (-.f64 (pow.f64 n 2) (pow.f64 f 2)))
(*.f64 (*.f64 (/.f64 1 (-.f64 n f)) 1) (+.f64 n f))
(/.f64 (+.f64 n f) (-.f64 n f))
(*.f64 (*.f64 (/.f64 1 (-.f64 n f)) (pow.f64 (cbrt.f64 (+.f64 n f)) 2)) (cbrt.f64 (+.f64 n f)))
(/.f64 (+.f64 n f) (-.f64 n f))
(*.f64 (*.f64 (/.f64 1 (-.f64 n f)) (sqrt.f64 (+.f64 n f))) (sqrt.f64 (+.f64 n f)))
(/.f64 (+.f64 n f) (-.f64 n f))
(*.f64 (/.f64 1 (neg.f64 (-.f64 n f))) (neg.f64 (+.f64 n f)))
(/.f64 (+.f64 n f) (-.f64 n f))
(*.f64 (/.f64 (+.f64 n f) (-.f64 (pow.f64 n 3) (pow.f64 f 3))) (fma.f64 n n (*.f64 f (+.f64 n f))))
(/.f64 (+.f64 n f) (/.f64 (-.f64 (pow.f64 n 3) (pow.f64 f 3)) (fma.f64 n n (*.f64 f (+.f64 n f)))))
(pow.f64 (/.f64 (-.f64 n f) (+.f64 n f)) -1)
(/.f64 (+.f64 n f) (-.f64 n f))
(pow.f64 (/.f64 (+.f64 n f) (-.f64 n f)) 1)
(/.f64 (+.f64 n f) (-.f64 n f))
(pow.f64 (cbrt.f64 (/.f64 (+.f64 n f) (-.f64 n f))) 3)
(/.f64 (+.f64 n f) (-.f64 n f))
(pow.f64 (pow.f64 (/.f64 (+.f64 n f) (-.f64 n f)) 3) 1/3)
(/.f64 (+.f64 n f) (-.f64 n f))
(pow.f64 (sqrt.f64 (/.f64 (+.f64 n f) (-.f64 n f))) 2)
(/.f64 (+.f64 n f) (-.f64 n f))
(sqrt.f64 (pow.f64 (/.f64 (-.f64 n f) (+.f64 n f)) -2))
(fabs.f64 (/.f64 (+.f64 n f) (-.f64 n f)))
(log.f64 (exp.f64 (/.f64 (+.f64 n f) (-.f64 n f))))
(/.f64 (+.f64 n f) (-.f64 n f))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (+.f64 n f) (-.f64 n f)))))
(/.f64 (+.f64 n f) (-.f64 n f))
(cbrt.f64 (pow.f64 (/.f64 (+.f64 n f) (-.f64 n f)) 3))
(/.f64 (+.f64 n f) (-.f64 n f))
(cbrt.f64 (/.f64 (pow.f64 (+.f64 n f) 3) (pow.f64 (-.f64 n f) 3)))
(/.f64 (+.f64 n f) (-.f64 n f))
(expm1.f64 (log1p.f64 (/.f64 (+.f64 n f) (-.f64 n f))))
(/.f64 (+.f64 n f) (-.f64 n f))
(exp.f64 (log.f64 (/.f64 (+.f64 n f) (-.f64 n f))))
(/.f64 (+.f64 n f) (-.f64 n f))
(exp.f64 (*.f64 (log.f64 (/.f64 (-.f64 n f) (+.f64 n f))) -1))
(/.f64 (+.f64 n f) (-.f64 n f))
(exp.f64 (*.f64 (log.f64 (/.f64 (+.f64 n f) (-.f64 n f))) 1))
(/.f64 (+.f64 n f) (-.f64 n f))
(exp.f64 (-.f64 (log.f64 (+.f64 n f)) (log.f64 (-.f64 n f))))
(/.f64 (+.f64 n f) (-.f64 n f))
(log1p.f64 (expm1.f64 (/.f64 (+.f64 n f) (-.f64 n f))))
(/.f64 (+.f64 n f) (-.f64 n f))

eval265.0ms (4.7%)

Compiler

Compiled 21291 to 7341 computations (65.5% saved)

prune101.0ms (1.8%)

Pruning

9 alts after pruning (3 fresh and 6 done)

PrunedKeptTotal
New5013504
Fresh000
Picked011
Done156
Total5029511
Accuracy
100.0%
Counts
511 → 9
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.9%
(/.f64 (+.f64 f n) (-.f64 n f))
99.9%
(/.f64 1 (/.f64 (-.f64 n f) (+.f64 f n)))
100.0%
(/.f64 1 (-.f64 (/.f64 n (+.f64 n f)) (/.f64 f (+.f64 n f))))
99.7%
(/.f64 1 (*.f64 (/.f64 1 (+.f64 n f)) (-.f64 n f)))
46.7%
(-.f64 (*.f64 -2 (/.f64 n f)) 1)
99.7%
(+.f64 (*.f64 (/.f64 1 (-.f64 n f)) n) (*.f64 (/.f64 1 (-.f64 n f)) f))
54.4%
(+.f64 1 (*.f64 2 (/.f64 f n)))
52.7%
1
45.5%
-1
Compiler

Compiled 89 to 59 computations (33.7% saved)

localize92.0ms (1.6%)

Localize:

Found 11 expressions with local error:

NewAccuracyProgram
100.0%
(/.f64 f (+.f64 n f))
100.0%
(/.f64 n (+.f64 n f))
100.0%
(-.f64 (/.f64 n (+.f64 n f)) (/.f64 f (+.f64 n f)))
100.0%
(/.f64 1 (-.f64 (/.f64 n (+.f64 n f)) (/.f64 f (+.f64 n f))))
100.0%
(/.f64 1 (+.f64 n f))
100.0%
(/.f64 1 (*.f64 (/.f64 1 (+.f64 n f)) (-.f64 n f)))
99.7%
(*.f64 (/.f64 1 (+.f64 n f)) (-.f64 n f))
100.0%
(/.f64 1 (-.f64 n f))
99.9%
(+.f64 (*.f64 (/.f64 1 (-.f64 n f)) n) (*.f64 (/.f64 1 (-.f64 n f)) f))
99.7%
(*.f64 (/.f64 1 (-.f64 n f)) n)
99.7%
(*.f64 (/.f64 1 (-.f64 n f)) f)
Compiler

Compiled 117 to 38 computations (67.5% saved)

series24.0ms (0.4%)

Counts
11 → 264
Calls

66 calls:

TimeVariablePointExpression
2.0ms
n
@0
(/.f64 1 (-.f64 (/.f64 n (+.f64 n f)) (/.f64 f (+.f64 n f))))
1.0ms
f
@-inf
(+.f64 (*.f64 (/.f64 1 (-.f64 n f)) n) (*.f64 (/.f64 1 (-.f64 n f)) f))
1.0ms
f
@inf
(*.f64 (/.f64 1 (-.f64 n f)) n)
1.0ms
n
@inf
(/.f64 1 (-.f64 (/.f64 n (+.f64 n f)) (/.f64 f (+.f64 n f))))
1.0ms
n
@-inf
(/.f64 1 (-.f64 (/.f64 n (+.f64 n f)) (/.f64 f (+.f64 n f))))

rewrite223.0ms (4%)

Algorithm
batch-egg-rewrite
Rules
911×log1p-expm1-u
556×expm1-udef
556×log1p-udef
272×associate-*r*
220×frac-times
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
021299
1388281
25623281
Stop Event
node limit
Counts
11 → 518
Calls
Call 1
Inputs
(*.f64 (/.f64 1 (-.f64 n f)) f)
(*.f64 (/.f64 1 (-.f64 n f)) n)
(+.f64 (*.f64 (/.f64 1 (-.f64 n f)) n) (*.f64 (/.f64 1 (-.f64 n f)) f))
(/.f64 1 (-.f64 n f))
(*.f64 (/.f64 1 (+.f64 n f)) (-.f64 n f))
(/.f64 1 (*.f64 (/.f64 1 (+.f64 n f)) (-.f64 n f)))
(/.f64 1 (+.f64 n f))
(/.f64 1 (-.f64 (/.f64 n (+.f64 n f)) (/.f64 f (+.f64 n f))))
(-.f64 (/.f64 n (+.f64 n f)) (/.f64 f (+.f64 n f)))
(/.f64 n (+.f64 n f))
(/.f64 f (+.f64 n f))
Outputs
(-.f64 (exp.f64 (log1p.f64 (/.f64 f (-.f64 n f)))) 1)
(/.f64 1 (/.f64 (-.f64 n f) f))
(/.f64 f (-.f64 n f))
(/.f64 (pow.f64 (cbrt.f64 f) 2) (/.f64 (-.f64 n f) (cbrt.f64 f)))
(/.f64 (sqrt.f64 f) (/.f64 (-.f64 n f) (sqrt.f64 f)))
(/.f64 (neg.f64 f) (neg.f64 (-.f64 n f)))
(/.f64 (/.f64 f 1) (-.f64 n f))
(/.f64 (/.f64 f (sqrt.f64 (-.f64 n f))) (sqrt.f64 (-.f64 n f)))
(/.f64 (*.f64 f -1) (neg.f64 (-.f64 n f)))
(/.f64 (/.f64 f (pow.f64 (cbrt.f64 (-.f64 n f)) 2)) (cbrt.f64 (-.f64 n f)))
(pow.f64 (/.f64 f (-.f64 n f)) 1)
(pow.f64 (cbrt.f64 (/.f64 f (-.f64 n f))) 3)
(pow.f64 (pow.f64 (/.f64 f (-.f64 n f)) 3) 1/3)
(pow.f64 (sqrt.f64 (/.f64 f (-.f64 n f))) 2)
(sqrt.f64 (pow.f64 (/.f64 f (-.f64 n f)) 2))
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(*.f64 (pow.f64 (+.f64 n f) -1/2) (/.f64 (-.f64 n f) (sqrt.f64 (+.f64 n f))))
(*.f64 (pow.f64 (+.f64 n f) -1/2) (*.f64 (pow.f64 (+.f64 n f) -1/2) (-.f64 n f)))
(*.f64 (sqrt.f64 (-.f64 n f)) (*.f64 (sqrt.f64 (-.f64 n f)) (/.f64 1 (+.f64 n f))))
(*.f64 (sqrt.f64 (/.f64 (-.f64 n f) (+.f64 n f))) (sqrt.f64 (/.f64 (-.f64 n f) (+.f64 n f))))
(*.f64 (-.f64 (*.f64 n (+.f64 n f)) (*.f64 f (+.f64 n f))) (pow.f64 (+.f64 n f) -2))
(*.f64 (-.f64 (pow.f64 (/.f64 n (+.f64 n f)) 3) (pow.f64 (/.f64 f (+.f64 n f)) 3)) (/.f64 1 (+.f64 (pow.f64 (/.f64 n (+.f64 n f)) 2) (*.f64 (/.f64 f (+.f64 n f)) (*.f64 (/.f64 1 (+.f64 n f)) (+.f64 n f))))))
(*.f64 (-.f64 (pow.f64 (/.f64 n (+.f64 n f)) 2) (pow.f64 (/.f64 f (+.f64 n f)) 2)) (/.f64 1 (*.f64 (/.f64 1 (+.f64 n f)) (+.f64 n f))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 n f)) 2)) (/.f64 (-.f64 n f) (cbrt.f64 (+.f64 n f))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 n f)) 2) 1) (/.f64 (cbrt.f64 (-.f64 n f)) (+.f64 n f)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 n f)) 2) (pow.f64 (cbrt.f64 (+.f64 n f)) 2)) (cbrt.f64 (/.f64 (-.f64 n f) (+.f64 n f))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 n f)) 2) (sqrt.f64 (+.f64 n f))) (/.f64 (cbrt.f64 (-.f64 n f)) (sqrt.f64 (+.f64 n f))))
(*.f64 (/.f64 (sqrt.f64 (-.f64 n f)) 1) (/.f64 (sqrt.f64 (-.f64 n f)) (+.f64 n f)))
(*.f64 (/.f64 (sqrt.f64 (-.f64 n f)) (pow.f64 (cbrt.f64 (+.f64 n f)) 2)) (/.f64 (sqrt.f64 (-.f64 n f)) (cbrt.f64 (+.f64 n f))))
(*.f64 (/.f64 (-.f64 n f) (-.f64 (pow.f64 n 2) (pow.f64 f 2))) (-.f64 n f))
(*.f64 (+.f64 (sqrt.f64 (/.f64 n (+.f64 n f))) (sqrt.f64 (/.f64 f (+.f64 n f)))) (-.f64 (sqrt.f64 (/.f64 n (+.f64 n f))) (sqrt.f64 (/.f64 f (+.f64 n f)))))
(*.f64 (*.f64 (-.f64 n f) (cbrt.f64 (pow.f64 (+.f64 n f) -2))) (/.f64 1 (cbrt.f64 (+.f64 n f))))
(*.f64 (*.f64 (-.f64 n f) (pow.f64 (+.f64 n f) -1/2)) (pow.f64 (+.f64 n f) -1/2))
(*.f64 (*.f64 (/.f64 1 (+.f64 n f)) (pow.f64 (cbrt.f64 (-.f64 n f)) 2)) (cbrt.f64 (-.f64 n f)))
(*.f64 (*.f64 (/.f64 1 (+.f64 n f)) (sqrt.f64 (-.f64 n f))) (sqrt.f64 (-.f64 n f)))
(*.f64 (/.f64 (-.f64 n f) (+.f64 (pow.f64 n 3) (pow.f64 f 3))) (fma.f64 n n (*.f64 f (-.f64 f n))))
(/.f64 1 (/.f64 (+.f64 n f) (-.f64 n f)))
(/.f64 1 (/.f64 (pow.f64 (+.f64 n f) 2) (-.f64 (*.f64 n (+.f64 n f)) (*.f64 f (+.f64 n f)))))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (/.f64 n (+.f64 n f)) 2) (*.f64 (/.f64 f (+.f64 n f)) (*.f64 (/.f64 1 (+.f64 n f)) (+.f64 n f)))) (-.f64 (pow.f64 (/.f64 n (+.f64 n f)) 3) (pow.f64 (/.f64 f (+.f64 n f)) 3))))
(/.f64 1 (/.f64 (*.f64 (/.f64 1 (+.f64 n f)) (+.f64 n f)) (-.f64 (pow.f64 (/.f64 n (+.f64 n f)) 2) (pow.f64 (/.f64 f (+.f64 n f)) 2))))
(/.f64 (-.f64 n f) (+.f64 n f))
(/.f64 (/.f64 1 (+.f64 n f)) (/.f64 1 (-.f64 n f)))
(/.f64 (/.f64 (-.f64 n f) (+.f64 n f)) 1)
(/.f64 (pow.f64 (cbrt.f64 (-.f64 n f)) 2) (/.f64 (+.f64 n f) (cbrt.f64 (-.f64 n f))))
(/.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 n f) (+.f64 n f))) 2) (cbrt.f64 (/.f64 (+.f64 n f) (-.f64 n f))))
(/.f64 (sqrt.f64 (-.f64 n f)) (/.f64 (+.f64 n f) (sqrt.f64 (-.f64 n f))))
(/.f64 (sqrt.f64 (/.f64 (-.f64 n f) (+.f64 n f))) (sqrt.f64 (/.f64 (+.f64 n f) (-.f64 n f))))
(/.f64 (-.f64 (*.f64 n (+.f64 n f)) (*.f64 f (+.f64 n f))) (pow.f64 (+.f64 n f) 2))
(/.f64 (/.f64 (neg.f64 (-.f64 n f)) (+.f64 n f)) -1)
(/.f64 (neg.f64 (-.f64 n f)) (neg.f64 (+.f64 n f)))
(/.f64 (-.f64 (pow.f64 n 3) (pow.f64 f 3)) (*.f64 (+.f64 n f) (fma.f64 n n (*.f64 f (+.f64 n f)))))
(/.f64 (-.f64 (pow.f64 (/.f64 n (+.f64 n f)) 3) (pow.f64 (/.f64 f (+.f64 n f)) 3)) (+.f64 (pow.f64 (/.f64 n (+.f64 n f)) 2) (*.f64 (/.f64 f (+.f64 n f)) (*.f64 (/.f64 1 (+.f64 n f)) (+.f64 n f)))))
(/.f64 (-.f64 (pow.f64 n 2) (pow.f64 f 2)) (pow.f64 (+.f64 n f) 2))
(/.f64 (-.f64 (pow.f64 (/.f64 n (+.f64 n f)) 2) (pow.f64 (/.f64 f (+.f64 n f)) 2)) (*.f64 (/.f64 1 (+.f64 n f)) (+.f64 n f)))
(/.f64 (-.f64 (neg.f64 n) (neg.f64 f)) (neg.f64 (+.f64 n f)))
(/.f64 (-.f64 (/.f64 (+.f64 n f) f) (*.f64 (/.f64 (+.f64 n f) n) 1)) (*.f64 (/.f64 (+.f64 n f) n) (/.f64 (+.f64 n f) f)))
(/.f64 (-.f64 (+.f64 n f) (*.f64 (/.f64 (+.f64 n f) n) f)) (*.f64 (/.f64 (+.f64 n f) n) (+.f64 n f)))
(/.f64 (-.f64 (neg.f64 (+.f64 n f)) (*.f64 (/.f64 (+.f64 n f) n) (neg.f64 f))) (*.f64 (/.f64 (+.f64 n f) n) (neg.f64 (+.f64 n f))))
(/.f64 (-.f64 (*.f64 n (/.f64 (+.f64 n f) f)) (+.f64 n f)) (*.f64 (+.f64 n f) (/.f64 (+.f64 n f) f)))
(/.f64 (-.f64 (*.f64 n (neg.f64 (+.f64 n f))) (*.f64 (+.f64 n f) (neg.f64 f))) (*.f64 (+.f64 n f) (neg.f64 (+.f64 n f))))
(/.f64 (-.f64 (*.f64 (neg.f64 n) (/.f64 (+.f64 n f) f)) (*.f64 (neg.f64 (+.f64 n f)) 1)) (*.f64 (neg.f64 (+.f64 n f)) (/.f64 (+.f64 n f) f)))
(/.f64 (-.f64 (*.f64 (neg.f64 n) (+.f64 n f)) (*.f64 (neg.f64 (+.f64 n f)) f)) (*.f64 (neg.f64 (+.f64 n f)) (+.f64 n f)))
(/.f64 (-.f64 (*.f64 (neg.f64 n) (neg.f64 (+.f64 n f))) (*.f64 (neg.f64 (+.f64 n f)) (neg.f64 f))) (*.f64 (neg.f64 (+.f64 n f)) (neg.f64 (+.f64 n f))))
(/.f64 (*.f64 (-.f64 (pow.f64 n 3) (pow.f64 f 3)) 1) (*.f64 (fma.f64 n n (*.f64 f (+.f64 n f))) (+.f64 n f)))
(/.f64 (*.f64 (-.f64 (pow.f64 n 3) (pow.f64 f 3)) -1) (*.f64 (fma.f64 n n (*.f64 f (+.f64 n f))) (neg.f64 (+.f64 n f))))
(/.f64 (*.f64 (-.f64 (pow.f64 n 2) (pow.f64 f 2)) 1) (pow.f64 (+.f64 n f) 2))
(/.f64 (*.f64 (-.f64 (pow.f64 n 2) (pow.f64 f 2)) -1) (*.f64 (+.f64 n f) (neg.f64 (+.f64 n f))))
(/.f64 (*.f64 -1 (-.f64 (pow.f64 n 3) (pow.f64 f 3))) (*.f64 (neg.f64 (+.f64 n f)) (fma.f64 n n (*.f64 f (+.f64 n f)))))
(/.f64 (*.f64 -1 (-.f64 (pow.f64 n 2) (pow.f64 f 2))) (*.f64 (neg.f64 (+.f64 n f)) (+.f64 n f)))
(/.f64 (neg.f64 (-.f64 (*.f64 n (+.f64 n f)) (*.f64 f (+.f64 n f)))) (neg.f64 (pow.f64 (+.f64 n f) 2)))
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 n (+.f64 n f)) 3) (pow.f64 (/.f64 f (+.f64 n f)) 3))) (neg.f64 (+.f64 (pow.f64 (/.f64 n (+.f64 n f)) 2) (*.f64 (/.f64 f (+.f64 n f)) (*.f64 (/.f64 1 (+.f64 n f)) (+.f64 n f))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 n (+.f64 n f)) 2) (pow.f64 (/.f64 f (+.f64 n f)) 2))) (neg.f64 (*.f64 (/.f64 1 (+.f64 n f)) (+.f64 n f))))
(/.f64 (/.f64 (-.f64 n f) (sqrt.f64 (+.f64 n f))) (sqrt.f64 (+.f64 n f)))
(/.f64 (+.f64 (pow.f64 (/.f64 n (+.f64 n f)) 3) (pow.f64 (/.f64 (neg.f64 f) (+.f64 n f)) 3)) (+.f64 (pow.f64 (/.f64 n (+.f64 n f)) 2) (-.f64 (*.f64 (/.f64 (neg.f64 f) (+.f64 n f)) (/.f64 (neg.f64 f) (+.f64 n f))) (*.f64 (/.f64 n (+.f64 n f)) (/.f64 (neg.f64 f) (+.f64 n f))))))
(/.f64 (-.f64 (pow.f64 (/.f64 n (+.f64 n f)) 2) (*.f64 (/.f64 (neg.f64 f) (+.f64 n f)) (/.f64 (neg.f64 f) (+.f64 n f)))) (-.f64 (/.f64 n (+.f64 n f)) (/.f64 (neg.f64 f) (+.f64 n f))))
(/.f64 (*.f64 (-.f64 n f) -1) (neg.f64 (+.f64 n f)))
(/.f64 (*.f64 (/.f64 1 (+.f64 n f)) (-.f64 (pow.f64 n 3) (pow.f64 f 3))) (fma.f64 n n (*.f64 f (+.f64 n f))))
(/.f64 (*.f64 (/.f64 1 (+.f64 n f)) (-.f64 (pow.f64 n 2) (pow.f64 f 2))) (+.f64 n f))
(/.f64 (*.f64 (-.f64 (pow.f64 n 3) (pow.f64 f 3)) (/.f64 1 (+.f64 n f))) (fma.f64 n n (*.f64 f (+.f64 n f))))
(/.f64 (/.f64 (-.f64 n f) (pow.f64 (cbrt.f64 (+.f64 n f)) 2)) (cbrt.f64 (+.f64 n f)))
(/.f64 (/.f64 (-.f64 (*.f64 n (+.f64 n f)) (*.f64 f (+.f64 n f))) (+.f64 n f)) (+.f64 n f))
(pow.f64 (/.f64 (-.f64 n f) (+.f64 n f)) 1)
(pow.f64 (cbrt.f64 (/.f64 (-.f64 n f) (+.f64 n f))) 3)
(pow.f64 (pow.f64 (/.f64 (-.f64 n f) (+.f64 n f)) 3) 1/3)
(pow.f64 (sqrt.f64 (/.f64 (-.f64 n f) (+.f64 n f))) 2)
(sqrt.f64 (pow.f64 (/.f64 (-.f64 n f) (+.f64 n f)) 2))
(log.f64 (exp.f64 (/.f64 (-.f64 n f) (+.f64 n f))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (-.f64 n f) (+.f64 n f)))))
(cbrt.f64 (pow.f64 (/.f64 (-.f64 n f) (+.f64 n f)) 3))
(cbrt.f64 (*.f64 (pow.f64 (-.f64 n f) 3) (pow.f64 (/.f64 1 (+.f64 n f)) 3)))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 1 (+.f64 n f)) 3) (pow.f64 (-.f64 n f) 3)))
(cbrt.f64 (/.f64 (pow.f64 (-.f64 n f) 3) (pow.f64 (+.f64 n f) 3)))
(expm1.f64 (log1p.f64 (/.f64 (-.f64 n f) (+.f64 n f))))
(exp.f64 (log.f64 (/.f64 (-.f64 n f) (+.f64 n f))))
(exp.f64 (*.f64 (log.f64 (/.f64 (-.f64 n f) (+.f64 n f))) 1))
(log1p.f64 (expm1.f64 (/.f64 (-.f64 n f) (+.f64 n f))))
(fma.f64 1 (/.f64 n (+.f64 n f)) (/.f64 (neg.f64 f) (+.f64 n f)))
(fma.f64 n (/.f64 1 (+.f64 n f)) (/.f64 (neg.f64 f) (+.f64 n f)))
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 n (+.f64 n f))) 2) (cbrt.f64 (/.f64 n (+.f64 n f))) (/.f64 (neg.f64 f) (+.f64 n f)))
(fma.f64 (sqrt.f64 (/.f64 n (+.f64 n f))) (sqrt.f64 (/.f64 n (+.f64 n f))) (/.f64 (neg.f64 f) (+.f64 n f)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 n (+.f64 n f)))) 1)
(*.f64 1 (/.f64 n (+.f64 n f)))
(*.f64 n (/.f64 1 (+.f64 n f)))
(*.f64 (/.f64 1 (+.f64 n f)) n)
(*.f64 (/.f64 n (+.f64 n f)) 1)
(*.f64 (cbrt.f64 (/.f64 n (+.f64 n f))) (pow.f64 (cbrt.f64 (/.f64 n (+.f64 n f))) 2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 n (+.f64 n f))) 2) (cbrt.f64 (/.f64 n (+.f64 n f))))
(*.f64 (pow.f64 (cbrt.f64 n) 2) (*.f64 (cbrt.f64 n) (/.f64 1 (+.f64 n f))))
(*.f64 (sqrt.f64 (/.f64 n (+.f64 n f))) (sqrt.f64 (/.f64 n (+.f64 n f))))
(*.f64 (pow.f64 (+.f64 n f) -1/2) (/.f64 n (sqrt.f64 (+.f64 n f))))
(*.f64 (sqrt.f64 n) (*.f64 (sqrt.f64 n) (/.f64 1 (+.f64 n f))))
(*.f64 (neg.f64 n) (/.f64 1 (neg.f64 (+.f64 n f))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 n f)) 2)) (/.f64 n (cbrt.f64 (+.f64 n f))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 n) 2) 1) (/.f64 (cbrt.f64 n) (+.f64 n f)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 n) 2) (pow.f64 (cbrt.f64 (+.f64 n f)) 2)) (cbrt.f64 (/.f64 n (+.f64 n f))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 n) 2) (sqrt.f64 (+.f64 n f))) (/.f64 (cbrt.f64 n) (sqrt.f64 (+.f64 n f))))
(*.f64 (/.f64 (sqrt.f64 n) 1) (/.f64 (sqrt.f64 n) (+.f64 n f)))
(*.f64 (/.f64 (sqrt.f64 n) (pow.f64 (cbrt.f64 (+.f64 n f)) 2)) (/.f64 (sqrt.f64 n) (cbrt.f64 (+.f64 n f))))
(*.f64 (*.f64 n (cbrt.f64 (pow.f64 (+.f64 n f) -2))) (/.f64 1 (cbrt.f64 (+.f64 n f))))
(*.f64 (*.f64 n (pow.f64 (+.f64 n f) -1/2)) (pow.f64 (+.f64 n f) -1/2))
(*.f64 (/.f64 n (+.f64 (pow.f64 n 3) (pow.f64 f 3))) (fma.f64 n n (*.f64 f (-.f64 f n))))
(*.f64 (/.f64 n (-.f64 (pow.f64 n 2) (pow.f64 f 2))) (-.f64 n f))
(pow.f64 (/.f64 n (+.f64 n f)) 1)
(pow.f64 (cbrt.f64 (/.f64 n (+.f64 n f))) 3)
(pow.f64 (pow.f64 (/.f64 n (+.f64 n f)) 3) 1/3)
(pow.f64 (sqrt.f64 (/.f64 n (+.f64 n f))) 2)
(pow.f64 (/.f64 (+.f64 n f) n) -1)
(neg.f64 (/.f64 n (neg.f64 (+.f64 n f))))
(sqrt.f64 (pow.f64 (/.f64 n (+.f64 n f)) 2))
(log.f64 (exp.f64 (/.f64 n (+.f64 n f))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 n (+.f64 n f)))))
(cbrt.f64 (pow.f64 (/.f64 n (+.f64 n f)) 3))
(expm1.f64 (log1p.f64 (/.f64 n (+.f64 n f))))
(exp.f64 (log.f64 (/.f64 n (+.f64 n f))))
(exp.f64 (*.f64 (log.f64 (/.f64 n (+.f64 n f))) 1))
(log1p.f64 (expm1.f64 (/.f64 n (+.f64 n f))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 f (+.f64 n f)))) 1)
(*.f64 1 (/.f64 f (+.f64 n f)))
(*.f64 f (/.f64 1 (+.f64 n f)))
(*.f64 (/.f64 1 (+.f64 n f)) f)
(*.f64 (/.f64 f (+.f64 n f)) 1)
(*.f64 (cbrt.f64 (/.f64 f (+.f64 n f))) (pow.f64 (cbrt.f64 (/.f64 f (+.f64 n f))) 2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 f (+.f64 n f))) 2) (cbrt.f64 (/.f64 f (+.f64 n f))))
(*.f64 (pow.f64 (cbrt.f64 f) 2) (*.f64 (cbrt.f64 f) (/.f64 1 (+.f64 n f))))
(*.f64 (sqrt.f64 (/.f64 f (+.f64 n f))) (sqrt.f64 (/.f64 f (+.f64 n f))))
(*.f64 (pow.f64 (+.f64 n f) -1/2) (/.f64 f (sqrt.f64 (+.f64 n f))))
(*.f64 (sqrt.f64 f) (*.f64 (sqrt.f64 f) (/.f64 1 (+.f64 n f))))
(*.f64 (neg.f64 f) (/.f64 1 (neg.f64 (+.f64 n f))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 n f)) 2)) (/.f64 f (cbrt.f64 (+.f64 n f))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 f) 2) 1) (/.f64 (cbrt.f64 f) (+.f64 n f)))
(*.f64 (/.f64 (sqrt.f64 f) 1) (/.f64 (sqrt.f64 f) (+.f64 n f)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 f) 2) (pow.f64 (cbrt.f64 (+.f64 n f)) 2)) (cbrt.f64 (/.f64 f (+.f64 n f))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 f) 2) (sqrt.f64 (+.f64 n f))) (/.f64 (cbrt.f64 f) (sqrt.f64 (+.f64 n f))))
(*.f64 (/.f64 (sqrt.f64 f) (pow.f64 (cbrt.f64 (+.f64 n f)) 2)) (/.f64 (sqrt.f64 f) (cbrt.f64 (+.f64 n f))))
(*.f64 (*.f64 f (cbrt.f64 (pow.f64 (+.f64 n f) -2))) (/.f64 1 (cbrt.f64 (+.f64 n f))))
(*.f64 (*.f64 f (pow.f64 (+.f64 n f) -1/2)) (pow.f64 (+.f64 n f) -1/2))
(*.f64 (/.f64 f (-.f64 (pow.f64 n 2) (pow.f64 f 2))) (-.f64 n f))
(*.f64 (/.f64 f (+.f64 (pow.f64 n 3) (pow.f64 f 3))) (fma.f64 n n (*.f64 f (-.f64 f n))))
(pow.f64 (/.f64 f (+.f64 n f)) 1)
(pow.f64 (cbrt.f64 (/.f64 f (+.f64 n f))) 3)
(pow.f64 (pow.f64 (/.f64 f (+.f64 n f)) 3) 1/3)
(pow.f64 (sqrt.f64 (/.f64 f (+.f64 n f))) 2)
(pow.f64 (/.f64 (+.f64 n f) f) -1)
(neg.f64 (/.f64 f (neg.f64 (+.f64 n f))))
(sqrt.f64 (pow.f64 (/.f64 f (+.f64 n f)) 2))
(log.f64 (exp.f64 (/.f64 f (+.f64 n f))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 f (+.f64 n f)))))
(cbrt.f64 (pow.f64 (/.f64 f (+.f64 n f)) 3))
(expm1.f64 (log1p.f64 (/.f64 f (+.f64 n f))))
(exp.f64 (log.f64 (/.f64 f (+.f64 n f))))
(exp.f64 (*.f64 (log.f64 (/.f64 f (+.f64 n f))) 1))
(log1p.f64 (expm1.f64 (/.f64 f (+.f64 n f))))

simplify286.0ms (5.1%)

Algorithm
egg-herbie
Rules
1360×fma-def
1064×times-frac
572×associate-+r+
462×sub-neg
426×*-commutative
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0107536886
1316635077
Stop Event
node limit
Counts
782 → 706
Calls
Call 1
Inputs
-1
(-.f64 (*.f64 -1 (/.f64 n f)) 1)
(-.f64 (+.f64 (*.f64 -1 (/.f64 n f)) (*.f64 -1 (/.f64 (pow.f64 n 2) (pow.f64 f 2)))) 1)
(-.f64 (+.f64 (*.f64 -1 (/.f64 n f)) (+.f64 (*.f64 -1 (/.f64 (pow.f64 n 2) (pow.f64 f 2))) (*.f64 -1 (/.f64 (pow.f64 n 3) (pow.f64 f 3))))) 1)
(/.f64 f n)
(+.f64 (/.f64 f n) (/.f64 (pow.f64 f 2) (pow.f64 n 2)))
(+.f64 (/.f64 f n) (+.f64 (/.f64 (pow.f64 f 2) (pow.f64 n 2)) (/.f64 (pow.f64 f 3) (pow.f64 n 3))))
(+.f64 (/.f64 f n) (+.f64 (/.f64 (pow.f64 f 2) (pow.f64 n 2)) (+.f64 (/.f64 (pow.f64 f 3) (pow.f64 n 3)) (/.f64 (pow.f64 f 4) (pow.f64 n 4)))))
(/.f64 f n)
(+.f64 (/.f64 f n) (/.f64 (pow.f64 f 2) (pow.f64 n 2)))
(+.f64 (/.f64 f n) (+.f64 (/.f64 (pow.f64 f 2) (pow.f64 n 2)) (/.f64 (pow.f64 f 3) (pow.f64 n 3))))
(+.f64 (/.f64 f n) (+.f64 (/.f64 (pow.f64 f 2) (pow.f64 n 2)) (+.f64 (/.f64 (pow.f64 f 3) (pow.f64 n 3)) (/.f64 (pow.f64 f 4) (pow.f64 n 4)))))
(/.f64 f n)
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(/.f64 (*.f64 -1 (-.f64 (pow.f64 n 3) (pow.f64 f 3))) (*.f64 (neg.f64 (+.f64 n f)) (fma.f64 n n (*.f64 f (+.f64 n f)))))
(/.f64 (*.f64 -1 (-.f64 (pow.f64 n 2) (pow.f64 f 2))) (*.f64 (neg.f64 (+.f64 n f)) (+.f64 n f)))
(/.f64 (neg.f64 (-.f64 (*.f64 n (+.f64 n f)) (*.f64 f (+.f64 n f)))) (neg.f64 (pow.f64 (+.f64 n f) 2)))
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 n (+.f64 n f)) 3) (pow.f64 (/.f64 f (+.f64 n f)) 3))) (neg.f64 (+.f64 (pow.f64 (/.f64 n (+.f64 n f)) 2) (*.f64 (/.f64 f (+.f64 n f)) (*.f64 (/.f64 1 (+.f64 n f)) (+.f64 n f))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 n (+.f64 n f)) 2) (pow.f64 (/.f64 f (+.f64 n f)) 2))) (neg.f64 (*.f64 (/.f64 1 (+.f64 n f)) (+.f64 n f))))
(/.f64 (/.f64 (-.f64 n f) (sqrt.f64 (+.f64 n f))) (sqrt.f64 (+.f64 n f)))
(/.f64 (+.f64 (pow.f64 (/.f64 n (+.f64 n f)) 3) (pow.f64 (/.f64 (neg.f64 f) (+.f64 n f)) 3)) (+.f64 (pow.f64 (/.f64 n (+.f64 n f)) 2) (-.f64 (*.f64 (/.f64 (neg.f64 f) (+.f64 n f)) (/.f64 (neg.f64 f) (+.f64 n f))) (*.f64 (/.f64 n (+.f64 n f)) (/.f64 (neg.f64 f) (+.f64 n f))))))
(/.f64 (-.f64 (pow.f64 (/.f64 n (+.f64 n f)) 2) (*.f64 (/.f64 (neg.f64 f) (+.f64 n f)) (/.f64 (neg.f64 f) (+.f64 n f)))) (-.f64 (/.f64 n (+.f64 n f)) (/.f64 (neg.f64 f) (+.f64 n f))))
(/.f64 (*.f64 (-.f64 n f) -1) (neg.f64 (+.f64 n f)))
(/.f64 (*.f64 (/.f64 1 (+.f64 n f)) (-.f64 (pow.f64 n 3) (pow.f64 f 3))) (fma.f64 n n (*.f64 f (+.f64 n f))))
(/.f64 (*.f64 (/.f64 1 (+.f64 n f)) (-.f64 (pow.f64 n 2) (pow.f64 f 2))) (+.f64 n f))
(/.f64 (*.f64 (-.f64 (pow.f64 n 3) (pow.f64 f 3)) (/.f64 1 (+.f64 n f))) (fma.f64 n n (*.f64 f (+.f64 n f))))
(/.f64 (/.f64 (-.f64 n f) (pow.f64 (cbrt.f64 (+.f64 n f)) 2)) (cbrt.f64 (+.f64 n f)))
(/.f64 (/.f64 (-.f64 (*.f64 n (+.f64 n f)) (*.f64 f (+.f64 n f))) (+.f64 n f)) (+.f64 n f))
(pow.f64 (/.f64 (-.f64 n f) (+.f64 n f)) 1)
(pow.f64 (cbrt.f64 (/.f64 (-.f64 n f) (+.f64 n f))) 3)
(pow.f64 (pow.f64 (/.f64 (-.f64 n f) (+.f64 n f)) 3) 1/3)
(pow.f64 (sqrt.f64 (/.f64 (-.f64 n f) (+.f64 n f))) 2)
(sqrt.f64 (pow.f64 (/.f64 (-.f64 n f) (+.f64 n f)) 2))
(log.f64 (exp.f64 (/.f64 (-.f64 n f) (+.f64 n f))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (-.f64 n f) (+.f64 n f)))))
(cbrt.f64 (pow.f64 (/.f64 (-.f64 n f) (+.f64 n f)) 3))
(cbrt.f64 (*.f64 (pow.f64 (-.f64 n f) 3) (pow.f64 (/.f64 1 (+.f64 n f)) 3)))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 1 (+.f64 n f)) 3) (pow.f64 (-.f64 n f) 3)))
(cbrt.f64 (/.f64 (pow.f64 (-.f64 n f) 3) (pow.f64 (+.f64 n f) 3)))
(expm1.f64 (log1p.f64 (/.f64 (-.f64 n f) (+.f64 n f))))
(exp.f64 (log.f64 (/.f64 (-.f64 n f) (+.f64 n f))))
(exp.f64 (*.f64 (log.f64 (/.f64 (-.f64 n f) (+.f64 n f))) 1))
(log1p.f64 (expm1.f64 (/.f64 (-.f64 n f) (+.f64 n f))))
(fma.f64 1 (/.f64 n (+.f64 n f)) (/.f64 (neg.f64 f) (+.f64 n f)))
(fma.f64 n (/.f64 1 (+.f64 n f)) (/.f64 (neg.f64 f) (+.f64 n f)))
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 n (+.f64 n f))) 2) (cbrt.f64 (/.f64 n (+.f64 n f))) (/.f64 (neg.f64 f) (+.f64 n f)))
(fma.f64 (sqrt.f64 (/.f64 n (+.f64 n f))) (sqrt.f64 (/.f64 n (+.f64 n f))) (/.f64 (neg.f64 f) (+.f64 n f)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 n (+.f64 n f)))) 1)
(*.f64 1 (/.f64 n (+.f64 n f)))
(*.f64 n (/.f64 1 (+.f64 n f)))
(*.f64 (/.f64 1 (+.f64 n f)) n)
(*.f64 (/.f64 n (+.f64 n f)) 1)
(*.f64 (cbrt.f64 (/.f64 n (+.f64 n f))) (pow.f64 (cbrt.f64 (/.f64 n (+.f64 n f))) 2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 n (+.f64 n f))) 2) (cbrt.f64 (/.f64 n (+.f64 n f))))
(*.f64 (pow.f64 (cbrt.f64 n) 2) (*.f64 (cbrt.f64 n) (/.f64 1 (+.f64 n f))))
(*.f64 (sqrt.f64 (/.f64 n (+.f64 n f))) (sqrt.f64 (/.f64 n (+.f64 n f))))
(*.f64 (pow.f64 (+.f64 n f) -1/2) (/.f64 n (sqrt.f64 (+.f64 n f))))
(*.f64 (sqrt.f64 n) (*.f64 (sqrt.f64 n) (/.f64 1 (+.f64 n f))))
(*.f64 (neg.f64 n) (/.f64 1 (neg.f64 (+.f64 n f))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 n f)) 2)) (/.f64 n (cbrt.f64 (+.f64 n f))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 n) 2) 1) (/.f64 (cbrt.f64 n) (+.f64 n f)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 n) 2) (pow.f64 (cbrt.f64 (+.f64 n f)) 2)) (cbrt.f64 (/.f64 n (+.f64 n f))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 n) 2) (sqrt.f64 (+.f64 n f))) (/.f64 (cbrt.f64 n) (sqrt.f64 (+.f64 n f))))
(*.f64 (/.f64 (sqrt.f64 n) 1) (/.f64 (sqrt.f64 n) (+.f64 n f)))
(*.f64 (/.f64 (sqrt.f64 n) (pow.f64 (cbrt.f64 (+.f64 n f)) 2)) (/.f64 (sqrt.f64 n) (cbrt.f64 (+.f64 n f))))
(*.f64 (*.f64 n (cbrt.f64 (pow.f64 (+.f64 n f) -2))) (/.f64 1 (cbrt.f64 (+.f64 n f))))
(*.f64 (*.f64 n (pow.f64 (+.f64 n f) -1/2)) (pow.f64 (+.f64 n f) -1/2))
(*.f64 (/.f64 n (+.f64 (pow.f64 n 3) (pow.f64 f 3))) (fma.f64 n n (*.f64 f (-.f64 f n))))
(*.f64 (/.f64 n (-.f64 (pow.f64 n 2) (pow.f64 f 2))) (-.f64 n f))
(pow.f64 (/.f64 n (+.f64 n f)) 1)
(pow.f64 (cbrt.f64 (/.f64 n (+.f64 n f))) 3)
(pow.f64 (pow.f64 (/.f64 n (+.f64 n f)) 3) 1/3)
(pow.f64 (sqrt.f64 (/.f64 n (+.f64 n f))) 2)
(pow.f64 (/.f64 (+.f64 n f) n) -1)
(neg.f64 (/.f64 n (neg.f64 (+.f64 n f))))
(sqrt.f64 (pow.f64 (/.f64 n (+.f64 n f)) 2))
(log.f64 (exp.f64 (/.f64 n (+.f64 n f))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 n (+.f64 n f)))))
(cbrt.f64 (pow.f64 (/.f64 n (+.f64 n f)) 3))
(expm1.f64 (log1p.f64 (/.f64 n (+.f64 n f))))
(exp.f64 (log.f64 (/.f64 n (+.f64 n f))))
(exp.f64 (*.f64 (log.f64 (/.f64 n (+.f64 n f))) 1))
(log1p.f64 (expm1.f64 (/.f64 n (+.f64 n f))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 f (+.f64 n f)))) 1)
(*.f64 1 (/.f64 f (+.f64 n f)))
(*.f64 f (/.f64 1 (+.f64 n f)))
(*.f64 (/.f64 1 (+.f64 n f)) f)
(*.f64 (/.f64 f (+.f64 n f)) 1)
(*.f64 (cbrt.f64 (/.f64 f (+.f64 n f))) (pow.f64 (cbrt.f64 (/.f64 f (+.f64 n f))) 2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 f (+.f64 n f))) 2) (cbrt.f64 (/.f64 f (+.f64 n f))))
(*.f64 (pow.f64 (cbrt.f64 f) 2) (*.f64 (cbrt.f64 f) (/.f64 1 (+.f64 n f))))
(*.f64 (sqrt.f64 (/.f64 f (+.f64 n f))) (sqrt.f64 (/.f64 f (+.f64 n f))))
(*.f64 (pow.f64 (+.f64 n f) -1/2) (/.f64 f (sqrt.f64 (+.f64 n f))))
(*.f64 (sqrt.f64 f) (*.f64 (sqrt.f64 f) (/.f64 1 (+.f64 n f))))
(*.f64 (neg.f64 f) (/.f64 1 (neg.f64 (+.f64 n f))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 n f)) 2)) (/.f64 f (cbrt.f64 (+.f64 n f))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 f) 2) 1) (/.f64 (cbrt.f64 f) (+.f64 n f)))
(*.f64 (/.f64 (sqrt.f64 f) 1) (/.f64 (sqrt.f64 f) (+.f64 n f)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 f) 2) (pow.f64 (cbrt.f64 (+.f64 n f)) 2)) (cbrt.f64 (/.f64 f (+.f64 n f))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 f) 2) (sqrt.f64 (+.f64 n f))) (/.f64 (cbrt.f64 f) (sqrt.f64 (+.f64 n f))))
(*.f64 (/.f64 (sqrt.f64 f) (pow.f64 (cbrt.f64 (+.f64 n f)) 2)) (/.f64 (sqrt.f64 f) (cbrt.f64 (+.f64 n f))))
(*.f64 (*.f64 f (cbrt.f64 (pow.f64 (+.f64 n f) -2))) (/.f64 1 (cbrt.f64 (+.f64 n f))))
(*.f64 (*.f64 f (pow.f64 (+.f64 n f) -1/2)) (pow.f64 (+.f64 n f) -1/2))
(*.f64 (/.f64 f (-.f64 (pow.f64 n 2) (pow.f64 f 2))) (-.f64 n f))
(*.f64 (/.f64 f (+.f64 (pow.f64 n 3) (pow.f64 f 3))) (fma.f64 n n (*.f64 f (-.f64 f n))))
(pow.f64 (/.f64 f (+.f64 n f)) 1)
(pow.f64 (cbrt.f64 (/.f64 f (+.f64 n f))) 3)
(pow.f64 (pow.f64 (/.f64 f (+.f64 n f)) 3) 1/3)
(pow.f64 (sqrt.f64 (/.f64 f (+.f64 n f))) 2)
(pow.f64 (/.f64 (+.f64 n f) f) -1)
(neg.f64 (/.f64 f (neg.f64 (+.f64 n f))))
(sqrt.f64 (pow.f64 (/.f64 f (+.f64 n f)) 2))
(log.f64 (exp.f64 (/.f64 f (+.f64 n f))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 f (+.f64 n f)))))
(cbrt.f64 (pow.f64 (/.f64 f (+.f64 n f)) 3))
(expm1.f64 (log1p.f64 (/.f64 f (+.f64 n f))))
(exp.f64 (log.f64 (/.f64 f (+.f64 n f))))
(exp.f64 (*.f64 (log.f64 (/.f64 f (+.f64 n f))) 1))
(log1p.f64 (expm1.f64 (/.f64 f (+.f64 n f))))
Outputs
-1
(-.f64 (*.f64 -1 (/.f64 n f)) 1)
(fma.f64 -1 (/.f64 n f) -1)
(-.f64 (+.f64 (*.f64 -1 (/.f64 n f)) (*.f64 -1 (/.f64 (pow.f64 n 2) (pow.f64 f 2)))) 1)
(+.f64 (*.f64 -1 (+.f64 (/.f64 n f) (/.f64 (pow.f64 n 2) (pow.f64 f 2)))) -1)
(fma.f64 -1 (+.f64 (/.f64 n f) (/.f64 (pow.f64 n 2) (pow.f64 f 2))) -1)
(-.f64 (+.f64 (*.f64 -1 (/.f64 n f)) (+.f64 (*.f64 -1 (/.f64 (pow.f64 n 2) (pow.f64 f 2))) (*.f64 -1 (/.f64 (pow.f64 n 3) (pow.f64 f 3))))) 1)
(+.f64 (fma.f64 -1 (/.f64 n f) (*.f64 -1 (+.f64 (/.f64 (pow.f64 n 2) (pow.f64 f 2)) (/.f64 (pow.f64 n 3) (pow.f64 f 3))))) -1)
(+.f64 (-.f64 (-.f64 (/.f64 (neg.f64 n) f) (/.f64 (pow.f64 n 2) (pow.f64 f 2))) (/.f64 (pow.f64 n 3) (pow.f64 f 3))) -1)
(/.f64 f n)
(+.f64 (/.f64 f n) (/.f64 (pow.f64 f 2) (pow.f64 n 2)))
(+.f64 (/.f64 f n) (+.f64 (/.f64 (pow.f64 f 2) (pow.f64 n 2)) (/.f64 (pow.f64 f 3) (pow.f64 n 3))))
(+.f64 (/.f64 f n) (+.f64 (/.f64 (pow.f64 f 2) (pow.f64 n 2)) (+.f64 (/.f64 (pow.f64 f 3) (pow.f64 n 3)) (/.f64 (pow.f64 f 4) (pow.f64 n 4)))))
(+.f64 (+.f64 (/.f64 f n) (/.f64 (pow.f64 f 2) (pow.f64 n 2))) (+.f64 (/.f64 (pow.f64 f 3) (pow.f64 n 3)) (/.f64 (pow.f64 f 4) (pow.f64 n 4))))
(/.f64 f n)
(+.f64 (/.f64 f n) (/.f64 (pow.f64 f 2) (pow.f64 n 2)))
(+.f64 (/.f64 f n) (+.f64 (/.f64 (pow.f64 f 2) (pow.f64 n 2)) (/.f64 (pow.f64 f 3) (pow.f64 n 3))))
(+.f64 (/.f64 f n) (+.f64 (/.f64 (pow.f64 f 2) (pow.f64 n 2)) (+.f64 (/.f64 (pow.f64 f 3) (pow.f64 n 3)) (/.f64 (pow.f64 f 4) (pow.f64 n 4)))))
(+.f64 (+.f64 (/.f64 f n) (/.f64 (pow.f64 f 2) (pow.f64 n 2))) (+.f64 (/.f64 (pow.f64 f 3) (pow.f64 n 3)) (/.f64 (pow.f64 f 4) (pow.f64 n 4))))
(/.f64 f n)
(+.f64 (/.f64 f n) (/.f64 (pow.f64 f 2) (pow.f64 n 2)))
(+.f64 (/.f64 f n) (+.f64 (/.f64 (pow.f64 f 2) (pow.f64 n 2)) (/.f64 (pow.f64 f 3) (pow.f64 n 3))))
(+.f64 (/.f64 f n) (+.f64 (/.f64 (pow.f64 f 2) (pow.f64 n 2)) (+.f64 (/.f64 (pow.f64 f 3) (pow.f64 n 3)) (/.f64 (pow.f64 f 4) (pow.f64 n 4)))))
(+.f64 (+.f64 (/.f64 f n) (/.f64 (pow.f64 f 2) (pow.f64 n 2))) (+.f64 (/.f64 (pow.f64 f 3) (pow.f64 n 3)) (/.f64 (pow.f64 f 4) (pow.f64 n 4))))
-1
(-.f64 (*.f64 -1 (/.f64 n f)) 1)
(fma.f64 -1 (/.f64 n f) -1)
(-.f64 (+.f64 (*.f64 -1 (/.f64 n f)) (*.f64 -1 (/.f64 (pow.f64 n 2) (pow.f64 f 2)))) 1)
(+.f64 (*.f64 -1 (+.f64 (/.f64 n f) (/.f64 (pow.f64 n 2) (pow.f64 f 2)))) -1)
(fma.f64 -1 (+.f64 (/.f64 n f) (/.f64 (pow.f64 n 2) (pow.f64 f 2))) -1)
(-.f64 (+.f64 (*.f64 -1 (/.f64 n f)) (+.f64 (*.f64 -1 (/.f64 (pow.f64 n 2) (pow.f64 f 2))) (*.f64 -1 (/.f64 (pow.f64 n 3) (pow.f64 f 3))))) 1)
(+.f64 (fma.f64 -1 (/.f64 n f) (*.f64 -1 (+.f64 (/.f64 (pow.f64 n 2) (pow.f64 f 2)) (/.f64 (pow.f64 n 3) (pow.f64 f 3))))) -1)
(+.f64 (-.f64 (-.f64 (/.f64 (neg.f64 n) f) (/.f64 (pow.f64 n 2) (pow.f64 f 2))) (/.f64 (pow.f64 n 3) (pow.f64 f 3))) -1)
-1
(-.f64 (*.f64 -1 (/.f64 n f)) 1)
(fma.f64 -1 (/.f64 n f) -1)
(-.f64 (+.f64 (*.f64 -1 (/.f64 n f)) (*.f64 -1 (/.f64 (pow.f64 n 2) (pow.f64 f 2)))) 1)
(+.f64 (*.f64 -1 (+.f64 (/.f64 n f) (/.f64 (pow.f64 n 2) (pow.f64 f 2)))) -1)
(fma.f64 -1 (+.f64 (/.f64 n f) (/.f64 (pow.f64 n 2) (pow.f64 f 2))) -1)
(-.f64 (+.f64 (*.f64 -1 (/.f64 n f)) (+.f64 (*.f64 -1 (/.f64 (pow.f64 n 2) (pow.f64 f 2))) (*.f64 -1 (/.f64 (pow.f64 n 3) (pow.f64 f 3))))) 1)
(+.f64 (fma.f64 -1 (/.f64 n f) (*.f64 -1 (+.f64 (/.f64 (pow.f64 n 2) (pow.f64 f 2)) (/.f64 (pow.f64 n 3) (pow.f64 f 3))))) -1)
(+.f64 (-.f64 (-.f64 (/.f64 (neg.f64 n) f) (/.f64 (pow.f64 n 2) (pow.f64 f 2))) (/.f64 (pow.f64 n 3) (pow.f64 f 3))) -1)
(*.f64 -1 (/.f64 n f))
(/.f64 (neg.f64 n) f)
(+.f64 (*.f64 -1 (/.f64 n f)) (*.f64 -1 (/.f64 (pow.f64 n 2) (pow.f64 f 2))))
(*.f64 -1 (+.f64 (/.f64 n f) (/.f64 (pow.f64 n 2) (pow.f64 f 2))))
(-.f64 (/.f64 (neg.f64 n) f) (/.f64 (pow.f64 n 2) (pow.f64 f 2)))
(+.f64 (*.f64 -1 (/.f64 n f)) (+.f64 (*.f64 -1 (/.f64 (pow.f64 n 2) (pow.f64 f 2))) (*.f64 -1 (/.f64 (pow.f64 n 3) (pow.f64 f 3)))))
(fma.f64 -1 (/.f64 n f) (*.f64 -1 (+.f64 (/.f64 (pow.f64 n 2) (pow.f64 f 2)) (/.f64 (pow.f64 n 3) (pow.f64 f 3)))))
(-.f64 (-.f64 (/.f64 (neg.f64 n) f) (/.f64 (pow.f64 n 2) (pow.f64 f 2))) (/.f64 (pow.f64 n 3) (pow.f64 f 3)))
(+.f64 (*.f64 -1 (/.f64 n f)) (+.f64 (*.f64 -1 (/.f64 (pow.f64 n 2) (pow.f64 f 2))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 n 3) (pow.f64 f 3))) (*.f64 -1 (/.f64 (pow.f64 n 4) (pow.f64 f 4))))))
(fma.f64 -1 (/.f64 n f) (fma.f64 -1 (/.f64 (pow.f64 n 2) (pow.f64 f 2)) (*.f64 -1 (+.f64 (/.f64 (pow.f64 n 3) (pow.f64 f 3)) (/.f64 (pow.f64 n 4) (pow.f64 f 4))))))
(-.f64 (-.f64 (-.f64 (/.f64 (neg.f64 (pow.f64 n 2)) (pow.f64 f 2)) (/.f64 (pow.f64 n 3) (pow.f64 f 3))) (/.f64 (pow.f64 n 4) (pow.f64 f 4))) (/.f64 n f))
1
(+.f64 1 (/.f64 f n))
(+.f64 1 (+.f64 (/.f64 f n) (/.f64 (pow.f64 f 2) (pow.f64 n 2))))
(+.f64 1 (+.f64 (/.f64 f n) (+.f64 (/.f64 (pow.f64 f 2) (pow.f64 n 2)) (/.f64 (pow.f64 f 3) (pow.f64 n 3)))))
(+.f64 (+.f64 1 (/.f64 f n)) (+.f64 (/.f64 (pow.f64 f 2) (pow.f64 n 2)) (/.f64 (pow.f64 f 3) (pow.f64 n 3))))
1
(+.f64 1 (/.f64 f n))
(+.f64 1 (+.f64 (/.f64 f n) (/.f64 (pow.f64 f 2) (pow.f64 n 2))))
(+.f64 1 (+.f64 (/.f64 f n) (+.f64 (/.f64 (pow.f64 f 2) (pow.f64 n 2)) (/.f64 (pow.f64 f 3) (pow.f64 n 3)))))
(+.f64 (+.f64 1 (/.f64 f n)) (+.f64 (/.f64 (pow.f64 f 2) (pow.f64 n 2)) (/.f64 (pow.f64 f 3) (pow.f64 n 3))))
1
(+.f64 1 (/.f64 f n))
(+.f64 1 (+.f64 (/.f64 f n) (/.f64 (pow.f64 f 2) (pow.f64 n 2))))
(+.f64 1 (+.f64 (/.f64 f n) (+.f64 (/.f64 (pow.f64 f 2) (pow.f64 n 2)) (/.f64 (pow.f64 f 3) (pow.f64 n 3)))))
(+.f64 (+.f64 1 (/.f64 f n)) (+.f64 (/.f64 (pow.f64 f 2) (pow.f64 n 2)) (/.f64 (pow.f64 f 3) (pow.f64 n 3))))
(*.f64 -1 (/.f64 n f))
(/.f64 (neg.f64 n) f)
(+.f64 (*.f64 -1 (/.f64 n f)) (*.f64 -1 (/.f64 (pow.f64 n 2) (pow.f64 f 2))))
(*.f64 -1 (+.f64 (/.f64 n f) (/.f64 (pow.f64 n 2) (pow.f64 f 2))))
(-.f64 (/.f64 (neg.f64 n) f) (/.f64 (pow.f64 n 2) (pow.f64 f 2)))
(+.f64 (*.f64 -1 (/.f64 n f)) (+.f64 (*.f64 -1 (/.f64 (pow.f64 n 2) (pow.f64 f 2))) (*.f64 -1 (/.f64 (pow.f64 n 3) (pow.f64 f 3)))))
(fma.f64 -1 (/.f64 n f) (*.f64 -1 (+.f64 (/.f64 (pow.f64 n 2) (pow.f64 f 2)) (/.f64 (pow.f64 n 3) (pow.f64 f 3)))))
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(/.f64 (*.f64 -1 (-.f64 (pow.f64 n 3) (pow.f64 f 3))) (*.f64 (neg.f64 (+.f64 n f)) (fma.f64 n n (*.f64 f (+.f64 n f)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 n 3) (pow.f64 f 3))) (*.f64 (fma.f64 n n (*.f64 f (+.f64 n f))) (neg.f64 (+.f64 n f))))
(/.f64 (*.f64 1 (/.f64 (-.f64 (pow.f64 n 3) (pow.f64 f 3)) (+.f64 n f))) (fma.f64 n n (*.f64 f (+.f64 n f))))
(/.f64 (*.f64 -1 (-.f64 (pow.f64 n 2) (pow.f64 f 2))) (*.f64 (neg.f64 (+.f64 n f)) (+.f64 n f)))
(/.f64 (-.f64 n f) (+.f64 n f))
(/.f64 (neg.f64 (-.f64 (*.f64 n (+.f64 n f)) (*.f64 f (+.f64 n f)))) (neg.f64 (pow.f64 (+.f64 n f) 2)))
(/.f64 (-.f64 n f) (+.f64 n f))
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 n (+.f64 n f)) 3) (pow.f64 (/.f64 f (+.f64 n f)) 3))) (neg.f64 (+.f64 (pow.f64 (/.f64 n (+.f64 n f)) 2) (*.f64 (/.f64 f (+.f64 n f)) (*.f64 (/.f64 1 (+.f64 n f)) (+.f64 n f))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 n (+.f64 n f)) 3) (pow.f64 (/.f64 f (+.f64 n f)) 3))) (neg.f64 (+.f64 (/.f64 f (+.f64 n f)) (pow.f64 (/.f64 n (+.f64 n f)) 2))))
(*.f64 1 (/.f64 (-.f64 (pow.f64 (/.f64 n (+.f64 n f)) 3) (pow.f64 (/.f64 f (+.f64 n f)) 3)) (+.f64 (/.f64 f (+.f64 n f)) (pow.f64 (/.f64 n (+.f64 n f)) 2))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 n (+.f64 n f)) 2) (pow.f64 (/.f64 f (+.f64 n f)) 2))) (neg.f64 (*.f64 (/.f64 1 (+.f64 n f)) (+.f64 n f))))
(/.f64 (-.f64 n f) (+.f64 n f))
(/.f64 (/.f64 (-.f64 n f) (sqrt.f64 (+.f64 n f))) (sqrt.f64 (+.f64 n f)))
(/.f64 (-.f64 n f) (+.f64 n f))
(/.f64 (+.f64 (pow.f64 (/.f64 n (+.f64 n f)) 3) (pow.f64 (/.f64 (neg.f64 f) (+.f64 n f)) 3)) (+.f64 (pow.f64 (/.f64 n (+.f64 n f)) 2) (-.f64 (*.f64 (/.f64 (neg.f64 f) (+.f64 n f)) (/.f64 (neg.f64 f) (+.f64 n f))) (*.f64 (/.f64 n (+.f64 n f)) (/.f64 (neg.f64 f) (+.f64 n f))))))
(/.f64 (+.f64 (pow.f64 (/.f64 n (+.f64 n f)) 3) (pow.f64 (/.f64 (neg.f64 f) (+.f64 n f)) 3)) (+.f64 (pow.f64 (/.f64 n (+.f64 n f)) 2) (*.f64 (/.f64 (neg.f64 f) (+.f64 n f)) (-.f64 (/.f64 (neg.f64 f) (+.f64 n f)) (/.f64 n (+.f64 n f))))))
(/.f64 (-.f64 (pow.f64 (/.f64 n (+.f64 n f)) 3) (pow.f64 (/.f64 f (+.f64 n f)) 3)) (fma.f64 (/.f64 (neg.f64 f) (+.f64 n f)) (*.f64 (/.f64 1 (+.f64 n f)) (-.f64 (neg.f64 f) n)) (pow.f64 (/.f64 n (+.f64 n f)) 2)))
(/.f64 (-.f64 (pow.f64 (/.f64 n (+.f64 n f)) 2) (*.f64 (/.f64 (neg.f64 f) (+.f64 n f)) (/.f64 (neg.f64 f) (+.f64 n f)))) (-.f64 (/.f64 n (+.f64 n f)) (/.f64 (neg.f64 f) (+.f64 n f))))
(/.f64 (-.f64 n f) (+.f64 n f))
(/.f64 (*.f64 (-.f64 n f) -1) (neg.f64 (+.f64 n f)))
(/.f64 (-.f64 n f) (+.f64 n f))
(/.f64 (*.f64 (/.f64 1 (+.f64 n f)) (-.f64 (pow.f64 n 3) (pow.f64 f 3))) (fma.f64 n n (*.f64 f (+.f64 n f))))
(/.f64 (/.f64 (-.f64 (pow.f64 n 3) (pow.f64 f 3)) (+.f64 n f)) (fma.f64 n n (*.f64 f (+.f64 n f))))
(/.f64 (*.f64 (/.f64 1 (+.f64 n f)) (-.f64 (pow.f64 n 2) (pow.f64 f 2))) (+.f64 n f))
(/.f64 (-.f64 n f) (+.f64 n f))
(/.f64 (*.f64 (-.f64 (pow.f64 n 3) (pow.f64 f 3)) (/.f64 1 (+.f64 n f))) (fma.f64 n n (*.f64 f (+.f64 n f))))
(/.f64 (/.f64 (-.f64 (pow.f64 n 3) (pow.f64 f 3)) (+.f64 n f)) (fma.f64 n n (*.f64 f (+.f64 n f))))
(/.f64 (/.f64 (-.f64 n f) (pow.f64 (cbrt.f64 (+.f64 n f)) 2)) (cbrt.f64 (+.f64 n f)))
(/.f64 (-.f64 n f) (+.f64 n f))
(/.f64 (/.f64 (-.f64 (*.f64 n (+.f64 n f)) (*.f64 f (+.f64 n f))) (+.f64 n f)) (+.f64 n f))
(/.f64 (-.f64 n f) (+.f64 n f))
(pow.f64 (/.f64 (-.f64 n f) (+.f64 n f)) 1)
(/.f64 (-.f64 n f) (+.f64 n f))
(pow.f64 (cbrt.f64 (/.f64 (-.f64 n f) (+.f64 n f))) 3)
(/.f64 (-.f64 n f) (+.f64 n f))
(pow.f64 (pow.f64 (/.f64 (-.f64 n f) (+.f64 n f)) 3) 1/3)
(/.f64 (-.f64 n f) (+.f64 n f))
(pow.f64 (sqrt.f64 (/.f64 (-.f64 n f) (+.f64 n f))) 2)
(/.f64 (-.f64 n f) (+.f64 n f))
(sqrt.f64 (pow.f64 (/.f64 (-.f64 n f) (+.f64 n f)) 2))
(fabs.f64 (/.f64 (-.f64 n f) (+.f64 n f)))
(log.f64 (exp.f64 (/.f64 (-.f64 n f) (+.f64 n f))))
(/.f64 (-.f64 n f) (+.f64 n f))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (-.f64 n f) (+.f64 n f)))))
(/.f64 (-.f64 n f) (+.f64 n f))
(cbrt.f64 (pow.f64 (/.f64 (-.f64 n f) (+.f64 n f)) 3))
(/.f64 (-.f64 n f) (+.f64 n f))
(cbrt.f64 (*.f64 (pow.f64 (-.f64 n f) 3) (pow.f64 (/.f64 1 (+.f64 n f)) 3)))
(/.f64 (-.f64 n f) (+.f64 n f))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 1 (+.f64 n f)) 3) (pow.f64 (-.f64 n f) 3)))
(/.f64 (-.f64 n f) (+.f64 n f))
(cbrt.f64 (/.f64 (pow.f64 (-.f64 n f) 3) (pow.f64 (+.f64 n f) 3)))
(/.f64 (-.f64 n f) (+.f64 n f))
(expm1.f64 (log1p.f64 (/.f64 (-.f64 n f) (+.f64 n f))))
(/.f64 (-.f64 n f) (+.f64 n f))
(exp.f64 (log.f64 (/.f64 (-.f64 n f) (+.f64 n f))))
(/.f64 (-.f64 n f) (+.f64 n f))
(exp.f64 (*.f64 (log.f64 (/.f64 (-.f64 n f) (+.f64 n f))) 1))
(/.f64 (-.f64 n f) (+.f64 n f))
(log1p.f64 (expm1.f64 (/.f64 (-.f64 n f) (+.f64 n f))))
(/.f64 (-.f64 n f) (+.f64 n f))
(fma.f64 1 (/.f64 n (+.f64 n f)) (/.f64 (neg.f64 f) (+.f64 n f)))
(/.f64 (-.f64 n f) (+.f64 n f))
(fma.f64 n (/.f64 1 (+.f64 n f)) (/.f64 (neg.f64 f) (+.f64 n f)))
(/.f64 (-.f64 n f) (+.f64 n f))
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 n (+.f64 n f))) 2) (cbrt.f64 (/.f64 n (+.f64 n f))) (/.f64 (neg.f64 f) (+.f64 n f)))
(/.f64 (-.f64 n f) (+.f64 n f))
(fma.f64 (sqrt.f64 (/.f64 n (+.f64 n f))) (sqrt.f64 (/.f64 n (+.f64 n f))) (/.f64 (neg.f64 f) (+.f64 n f)))
(/.f64 (-.f64 n f) (+.f64 n f))
(-.f64 (exp.f64 (log1p.f64 (/.f64 n (+.f64 n f)))) 1)
(/.f64 n (+.f64 n f))
(*.f64 1 (/.f64 n (+.f64 n f)))
(/.f64 n (+.f64 n f))
(*.f64 n (/.f64 1 (+.f64 n f)))
(/.f64 n (+.f64 n f))
(*.f64 (/.f64 1 (+.f64 n f)) n)
(/.f64 n (+.f64 n f))
(*.f64 (/.f64 n (+.f64 n f)) 1)
(/.f64 n (+.f64 n f))
(*.f64 (cbrt.f64 (/.f64 n (+.f64 n f))) (pow.f64 (cbrt.f64 (/.f64 n (+.f64 n f))) 2))
(/.f64 n (+.f64 n f))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 n (+.f64 n f))) 2) (cbrt.f64 (/.f64 n (+.f64 n f))))
(/.f64 n (+.f64 n f))
(*.f64 (pow.f64 (cbrt.f64 n) 2) (*.f64 (cbrt.f64 n) (/.f64 1 (+.f64 n f))))
(/.f64 n (+.f64 n f))
(*.f64 (sqrt.f64 (/.f64 n (+.f64 n f))) (sqrt.f64 (/.f64 n (+.f64 n f))))
(/.f64 n (+.f64 n f))
(*.f64 (pow.f64 (+.f64 n f) -1/2) (/.f64 n (sqrt.f64 (+.f64 n f))))
(*.f64 (sqrt.f64 n) (*.f64 (sqrt.f64 n) (/.f64 1 (+.f64 n f))))
(/.f64 n (+.f64 n f))
(*.f64 (neg.f64 n) (/.f64 1 (neg.f64 (+.f64 n f))))
(/.f64 n (+.f64 n f))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 n f)) 2)) (/.f64 n (cbrt.f64 (+.f64 n f))))
(/.f64 (/.f64 n (cbrt.f64 (+.f64 n f))) (pow.f64 (cbrt.f64 (+.f64 n f)) 2))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 n) 2) 1) (/.f64 (cbrt.f64 n) (+.f64 n f)))
(/.f64 n (+.f64 n f))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 n) 2) (pow.f64 (cbrt.f64 (+.f64 n f)) 2)) (cbrt.f64 (/.f64 n (+.f64 n f))))
(*.f64 (cbrt.f64 (/.f64 n (+.f64 n f))) (/.f64 (pow.f64 (cbrt.f64 n) 2) (pow.f64 (cbrt.f64 (+.f64 n f)) 2)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 n) 2) (sqrt.f64 (+.f64 n f))) (/.f64 (cbrt.f64 n) (sqrt.f64 (+.f64 n f))))
(/.f64 (*.f64 (pow.f64 (cbrt.f64 n) 2) (/.f64 (cbrt.f64 n) (sqrt.f64 (+.f64 n f)))) (sqrt.f64 (+.f64 n f)))
(*.f64 (/.f64 (sqrt.f64 n) 1) (/.f64 (sqrt.f64 n) (+.f64 n f)))
(/.f64 n (+.f64 n f))
(*.f64 (/.f64 (sqrt.f64 n) (pow.f64 (cbrt.f64 (+.f64 n f)) 2)) (/.f64 (sqrt.f64 n) (cbrt.f64 (+.f64 n f))))
(/.f64 (*.f64 (sqrt.f64 n) (/.f64 (sqrt.f64 n) (cbrt.f64 (+.f64 n f)))) (pow.f64 (cbrt.f64 (+.f64 n f)) 2))
(*.f64 (*.f64 n (cbrt.f64 (pow.f64 (+.f64 n f) -2))) (/.f64 1 (cbrt.f64 (+.f64 n f))))
(*.f64 n (*.f64 (/.f64 1 (cbrt.f64 (+.f64 n f))) (cbrt.f64 (pow.f64 (+.f64 n f) -2))))
(*.f64 n (/.f64 (cbrt.f64 (pow.f64 (+.f64 n f) -2)) (cbrt.f64 (+.f64 n f))))
(*.f64 (*.f64 n (pow.f64 (+.f64 n f) -1/2)) (pow.f64 (+.f64 n f) -1/2))
(/.f64 n (+.f64 n f))
(*.f64 (/.f64 n (+.f64 (pow.f64 n 3) (pow.f64 f 3))) (fma.f64 n n (*.f64 f (-.f64 f n))))
(*.f64 (fma.f64 n n (*.f64 f (-.f64 f n))) (/.f64 n (+.f64 (pow.f64 n 3) (pow.f64 f 3))))
(*.f64 (/.f64 n (-.f64 (pow.f64 n 2) (pow.f64 f 2))) (-.f64 n f))
(/.f64 (*.f64 n (-.f64 n f)) (-.f64 (pow.f64 n 2) (pow.f64 f 2)))
(pow.f64 (/.f64 n (+.f64 n f)) 1)
(/.f64 n (+.f64 n f))
(pow.f64 (cbrt.f64 (/.f64 n (+.f64 n f))) 3)
(/.f64 n (+.f64 n f))
(pow.f64 (pow.f64 (/.f64 n (+.f64 n f)) 3) 1/3)
(/.f64 n (+.f64 n f))
(pow.f64 (sqrt.f64 (/.f64 n (+.f64 n f))) 2)
(/.f64 n (+.f64 n f))
(pow.f64 (/.f64 (+.f64 n f) n) -1)
(/.f64 1 (/.f64 (+.f64 n f) n))
(neg.f64 (/.f64 n (neg.f64 (+.f64 n f))))
(/.f64 n (+.f64 n f))
(sqrt.f64 (pow.f64 (/.f64 n (+.f64 n f)) 2))
(fabs.f64 (/.f64 n (+.f64 n f)))
(log.f64 (exp.f64 (/.f64 n (+.f64 n f))))
(/.f64 n (+.f64 n f))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 n (+.f64 n f)))))
(/.f64 n (+.f64 n f))
(cbrt.f64 (pow.f64 (/.f64 n (+.f64 n f)) 3))
(/.f64 n (+.f64 n f))
(expm1.f64 (log1p.f64 (/.f64 n (+.f64 n f))))
(/.f64 n (+.f64 n f))
(exp.f64 (log.f64 (/.f64 n (+.f64 n f))))
(/.f64 n (+.f64 n f))
(exp.f64 (*.f64 (log.f64 (/.f64 n (+.f64 n f))) 1))
(/.f64 n (+.f64 n f))
(log1p.f64 (expm1.f64 (/.f64 n (+.f64 n f))))
(/.f64 n (+.f64 n f))
(-.f64 (exp.f64 (log1p.f64 (/.f64 f (+.f64 n f)))) 1)
(/.f64 f (+.f64 n f))
(*.f64 1 (/.f64 f (+.f64 n f)))
(/.f64 f (+.f64 n f))
(*.f64 f (/.f64 1 (+.f64 n f)))
(/.f64 f (+.f64 n f))
(*.f64 (/.f64 1 (+.f64 n f)) f)
(/.f64 f (+.f64 n f))
(*.f64 (/.f64 f (+.f64 n f)) 1)
(/.f64 f (+.f64 n f))
(*.f64 (cbrt.f64 (/.f64 f (+.f64 n f))) (pow.f64 (cbrt.f64 (/.f64 f (+.f64 n f))) 2))
(/.f64 f (+.f64 n f))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 f (+.f64 n f))) 2) (cbrt.f64 (/.f64 f (+.f64 n f))))
(/.f64 f (+.f64 n f))
(*.f64 (pow.f64 (cbrt.f64 f) 2) (*.f64 (cbrt.f64 f) (/.f64 1 (+.f64 n f))))
(/.f64 f (+.f64 n f))
(*.f64 (sqrt.f64 (/.f64 f (+.f64 n f))) (sqrt.f64 (/.f64 f (+.f64 n f))))
(/.f64 f (+.f64 n f))
(*.f64 (pow.f64 (+.f64 n f) -1/2) (/.f64 f (sqrt.f64 (+.f64 n f))))
(*.f64 (sqrt.f64 f) (*.f64 (sqrt.f64 f) (/.f64 1 (+.f64 n f))))
(/.f64 f (+.f64 n f))
(*.f64 (neg.f64 f) (/.f64 1 (neg.f64 (+.f64 n f))))
(/.f64 f (+.f64 n f))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 n f)) 2)) (/.f64 f (cbrt.f64 (+.f64 n f))))
(/.f64 (*.f64 1 (/.f64 f (cbrt.f64 (+.f64 n f)))) (pow.f64 (cbrt.f64 (+.f64 n f)) 2))
(/.f64 (/.f64 f (cbrt.f64 (+.f64 n f))) (pow.f64 (cbrt.f64 (+.f64 n f)) 2))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 f) 2) 1) (/.f64 (cbrt.f64 f) (+.f64 n f)))
(/.f64 f (+.f64 n f))
(*.f64 (/.f64 (sqrt.f64 f) 1) (/.f64 (sqrt.f64 f) (+.f64 n f)))
(/.f64 f (+.f64 n f))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 f) 2) (pow.f64 (cbrt.f64 (+.f64 n f)) 2)) (cbrt.f64 (/.f64 f (+.f64 n f))))
(*.f64 (cbrt.f64 (/.f64 f (+.f64 n f))) (/.f64 (pow.f64 (cbrt.f64 f) 2) (pow.f64 (cbrt.f64 (+.f64 n f)) 2)))
(/.f64 (*.f64 (pow.f64 (cbrt.f64 f) 2) (cbrt.f64 (/.f64 f (+.f64 n f)))) (pow.f64 (cbrt.f64 (+.f64 n f)) 2))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 f) 2) (sqrt.f64 (+.f64 n f))) (/.f64 (cbrt.f64 f) (sqrt.f64 (+.f64 n f))))
(/.f64 (*.f64 (/.f64 (pow.f64 (cbrt.f64 f) 2) (sqrt.f64 (+.f64 n f))) (cbrt.f64 f)) (sqrt.f64 (+.f64 n f)))
(*.f64 (/.f64 (sqrt.f64 f) (pow.f64 (cbrt.f64 (+.f64 n f)) 2)) (/.f64 (sqrt.f64 f) (cbrt.f64 (+.f64 n f))))
(*.f64 (*.f64 f (cbrt.f64 (pow.f64 (+.f64 n f) -2))) (/.f64 1 (cbrt.f64 (+.f64 n f))))
(*.f64 f (*.f64 (/.f64 1 (cbrt.f64 (+.f64 n f))) (cbrt.f64 (pow.f64 (+.f64 n f) -2))))
(*.f64 f (/.f64 (cbrt.f64 (pow.f64 (+.f64 n f) -2)) (cbrt.f64 (+.f64 n f))))
(*.f64 (*.f64 f (pow.f64 (+.f64 n f) -1/2)) (pow.f64 (+.f64 n f) -1/2))
(/.f64 f (+.f64 n f))
(*.f64 (/.f64 f (-.f64 (pow.f64 n 2) (pow.f64 f 2))) (-.f64 n f))
(*.f64 (-.f64 n f) (/.f64 f (-.f64 (pow.f64 n 2) (pow.f64 f 2))))
(*.f64 f (/.f64 (-.f64 n f) (-.f64 (pow.f64 n 2) (pow.f64 f 2))))
(*.f64 (/.f64 f (+.f64 (pow.f64 n 3) (pow.f64 f 3))) (fma.f64 n n (*.f64 f (-.f64 f n))))
(*.f64 (fma.f64 n n (*.f64 f (-.f64 f n))) (/.f64 f (+.f64 (pow.f64 n 3) (pow.f64 f 3))))
(pow.f64 (/.f64 f (+.f64 n f)) 1)
(/.f64 f (+.f64 n f))
(pow.f64 (cbrt.f64 (/.f64 f (+.f64 n f))) 3)
(/.f64 f (+.f64 n f))
(pow.f64 (pow.f64 (/.f64 f (+.f64 n f)) 3) 1/3)
(/.f64 f (+.f64 n f))
(pow.f64 (sqrt.f64 (/.f64 f (+.f64 n f))) 2)
(/.f64 f (+.f64 n f))
(pow.f64 (/.f64 (+.f64 n f) f) -1)
(/.f64 1 (/.f64 (+.f64 n f) f))
(neg.f64 (/.f64 f (neg.f64 (+.f64 n f))))
(/.f64 f (+.f64 n f))
(sqrt.f64 (pow.f64 (/.f64 f (+.f64 n f)) 2))
(fabs.f64 (/.f64 f (+.f64 n f)))
(log.f64 (exp.f64 (/.f64 f (+.f64 n f))))
(/.f64 f (+.f64 n f))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 f (+.f64 n f)))))
(/.f64 f (+.f64 n f))
(cbrt.f64 (pow.f64 (/.f64 f (+.f64 n f)) 3))
(/.f64 f (+.f64 n f))
(expm1.f64 (log1p.f64 (/.f64 f (+.f64 n f))))
(/.f64 f (+.f64 n f))
(exp.f64 (log.f64 (/.f64 f (+.f64 n f))))
(/.f64 f (+.f64 n f))
(exp.f64 (*.f64 (log.f64 (/.f64 f (+.f64 n f))) 1))
(/.f64 f (+.f64 n f))
(log1p.f64 (expm1.f64 (/.f64 f (+.f64 n f))))
(/.f64 f (+.f64 n f))

eval264.0ms (4.7%)

Compiler

Compiled 16485 to 8321 computations (49.5% saved)

prune125.0ms (2.2%)

Pruning

8 alts after pruning (1 fresh and 7 done)

PrunedKeptTotal
New7561757
Fresh000
Picked213
Done066
Total7588766
Accuracy
100.0%
Counts
766 → 8
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.9%
(/.f64 (+.f64 f n) (-.f64 n f))
99.9%
(/.f64 1 (/.f64 (-.f64 n f) (+.f64 f n)))
99.7%
(/.f64 1 (*.f64 (/.f64 1 (+.f64 n f)) (-.f64 n f)))
46.7%
(-.f64 (*.f64 -2 (/.f64 n f)) 1)
100.0%
(+.f64 (/.f64 n (-.f64 n f)) (/.f64 f (-.f64 n f)))
54.4%
(+.f64 1 (*.f64 2 (/.f64 f n)))
52.7%
1
45.5%
-1
Compiler

Compiled 190 to 99 computations (47.9% saved)

regimes21.0ms (0.4%)

Counts
14 → 1
Calls
Call 1
Inputs
-1
1
(+.f64 1 (*.f64 2 (/.f64 f n)))
(-.f64 (*.f64 -2 (/.f64 n f)) 1)
(/.f64 (+.f64 f n) (-.f64 n f))
(/.f64 (neg.f64 (+.f64 f n)) (-.f64 f n))
(*.f64 (/.f64 1 (-.f64 n f)) (+.f64 f n))
(/.f64 1 (/.f64 (-.f64 n f) (+.f64 f n)))
(+.f64 (/.f64 n (-.f64 n f)) (/.f64 f (-.f64 n f)))
(/.f64 1 (*.f64 (/.f64 1 (+.f64 n f)) (-.f64 n f)))
(/.f64 1 (-.f64 (/.f64 n (+.f64 n f)) (/.f64 f (+.f64 n f))))
(+.f64 (*.f64 (/.f64 1 (-.f64 n f)) n) (*.f64 (/.f64 1 (-.f64 n f)) f))
(pow.f64 (/.f64 (-.f64 n f) (+.f64 f n)) -1)
(cbrt.f64 (pow.f64 (/.f64 (+.f64 f n) (-.f64 n f)) 3))
Outputs
(+.f64 (/.f64 n (-.f64 n f)) (/.f64 f (-.f64 n f)))
Calls

3 calls:

9.0ms
n
9.0ms
f
3.0ms
(/.f64 (neg.f64 (+.f64 f n)) (-.f64 f n))
Results
AccuracySegmentsBranch
100.0%1f
100.0%1n
100.0%1(/.f64 (neg.f64 (+.f64 f n)) (-.f64 f n))
Compiler

Compiled 16 to 10 computations (37.5% saved)

regimes15.0ms (0.3%)

Counts
8 → 1
Calls
Call 1
Inputs
-1
1
(+.f64 1 (*.f64 2 (/.f64 f n)))
(-.f64 (*.f64 -2 (/.f64 n f)) 1)
(/.f64 (+.f64 f n) (-.f64 n f))
(/.f64 (neg.f64 (+.f64 f n)) (-.f64 f n))
(*.f64 (/.f64 1 (-.f64 n f)) (+.f64 f n))
(/.f64 1 (/.f64 (-.f64 n f) (+.f64 f n)))
Outputs
(/.f64 (+.f64 f n) (-.f64 n f))
Calls

3 calls:

6.0ms
f
6.0ms
n
3.0ms
(/.f64 (neg.f64 (+.f64 f n)) (-.f64 f n))
Results
AccuracySegmentsBranch
99.9%1f
99.9%1n
99.9%1(/.f64 (neg.f64 (+.f64 f n)) (-.f64 f n))
Compiler

Compiled 16 to 10 computations (37.5% saved)

regimes33.0ms (0.6%)

Counts
4 → 3
Calls
Call 1
Inputs
-1
1
(+.f64 1 (*.f64 2 (/.f64 f n)))
(-.f64 (*.f64 -2 (/.f64 n f)) 1)
Outputs
(+.f64 1 (*.f64 2 (/.f64 f n)))
(-.f64 (*.f64 -2 (/.f64 n f)) 1)
(+.f64 1 (*.f64 2 (/.f64 f n)))
Calls

2 calls:

17.0ms
n
15.0ms
f
Results
AccuracySegmentsBranch
75.8%3f
80.5%3n
Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes14.0ms (0.2%)

Counts
3 → 3
Calls
Call 1
Inputs
-1
1
(+.f64 1 (*.f64 2 (/.f64 f n)))
Outputs
(+.f64 1 (*.f64 2 (/.f64 f n)))
-1
(+.f64 1 (*.f64 2 (/.f64 f n)))
Calls

1 calls:

13.0ms
n
Results
AccuracySegmentsBranch
79.9%3n
Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes12.0ms (0.2%)

Counts
2 → 3
Calls
Call 1
Inputs
-1
1
Outputs
1
-1
1
Calls

1 calls:

12.0ms
n
Results
AccuracySegmentsBranch
79.0%3n
Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes6.0ms (0.1%)

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts
1 → 1
Calls
Call 1
Inputs
-1
Outputs
-1
Calls

2 calls:

3.0ms
n
3.0ms
f
Results
AccuracySegmentsBranch
45.5%1f
45.5%1n
Compiler

Compiled 6 to 4 computations (33.3% saved)

bsearch28.0ms (0.5%)

Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
14.0ms
2.071321148116129e-51
1.210007223098956e-48
14.0ms
-1.8764351185532566e-55
-5.546938792288577e-59
Results
23.0ms240×256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
Compiler

Compiled 335 to 266 computations (20.6% saved)

bsearch28.0ms (0.5%)

Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
13.0ms
2.071321148116129e-51
1.210007223098956e-48
14.0ms
-1.8764351185532566e-55
-5.546938792288577e-59
Results
23.0ms240×256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
Compiler

Compiled 239 to 202 computations (15.5% saved)

bsearch17.0ms (0.3%)

Algorithm
binary-search
Stop Event
predicate-same
predicate-same
Steps
TimeLeftRight
10.0ms
2.071321148116129e-51
1.210007223098956e-48
7.0ms
-1.8764351185532566e-55
-5.546938792288577e-59
Results
13.0ms144×256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
Compiler

Compiled 95 to 90 computations (5.3% saved)

simplify8.0ms (0.1%)

Algorithm
egg-herbie
Rules
14×+-commutative
sub-neg
*-commutative
if-if-or-not
neg-mul-1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
044246
170246
276246
383246
484246
Stop Event
fuel
saturated
Calls
Call 1
Inputs
(+.f64 (/.f64 n (-.f64 n f)) (/.f64 f (-.f64 n f)))
(/.f64 (+.f64 f n) (-.f64 n f))
(if (<=.f64 n -2898733465652037/27606985387162255149739023449108101809804435888681546220650096895197184) (+.f64 1 (*.f64 2 (/.f64 f n))) (if (<=.f64 n 1537559458360935/105312291668557186697918027683670432318895095400549111254310977536) (-.f64 (*.f64 -2 (/.f64 n f)) 1) (+.f64 1 (*.f64 2 (/.f64 f n)))))
(if (<=.f64 n -795081179150273/110427941548649020598956093796432407239217743554726184882600387580788736) (+.f64 1 (*.f64 2 (/.f64 f n))) (if (<=.f64 n 4739053125085073/13164036458569648337239753460458804039861886925068638906788872192) -1 (+.f64 1 (*.f64 2 (/.f64 f n)))))
(if (<=.f64 n -7067388259113537/3533694129556768659166595001485837031654967793751237916243212402585239552) 1 (if (<=.f64 n 7898421875141789/6582018229284824168619876730229402019930943462534319453394436096) -1 1))
-1
Outputs
(+.f64 (/.f64 n (-.f64 n f)) (/.f64 f (-.f64 n f)))
(/.f64 (+.f64 f n) (-.f64 n f))
(/.f64 (+.f64 n f) (-.f64 n f))
(if (<=.f64 n -2898733465652037/27606985387162255149739023449108101809804435888681546220650096895197184) (+.f64 1 (*.f64 2 (/.f64 f n))) (if (<=.f64 n 1537559458360935/105312291668557186697918027683670432318895095400549111254310977536) (-.f64 (*.f64 -2 (/.f64 n f)) 1) (+.f64 1 (*.f64 2 (/.f64 f n)))))
(if (or (<=.f64 n -2898733465652037/27606985387162255149739023449108101809804435888681546220650096895197184) (not (<=.f64 n 1537559458360935/105312291668557186697918027683670432318895095400549111254310977536))) (+.f64 1 (*.f64 2 (/.f64 f n))) (-.f64 (*.f64 -2 (/.f64 n f)) 1))
(if (or (<=.f64 n -2898733465652037/27606985387162255149739023449108101809804435888681546220650096895197184) (not (<=.f64 n 1537559458360935/105312291668557186697918027683670432318895095400549111254310977536))) (+.f64 1 (*.f64 2 (/.f64 f n))) (+.f64 (*.f64 -2 (/.f64 n f)) -1))
(if (<=.f64 n -795081179150273/110427941548649020598956093796432407239217743554726184882600387580788736) (+.f64 1 (*.f64 2 (/.f64 f n))) (if (<=.f64 n 4739053125085073/13164036458569648337239753460458804039861886925068638906788872192) -1 (+.f64 1 (*.f64 2 (/.f64 f n)))))
(if (or (<=.f64 n -795081179150273/110427941548649020598956093796432407239217743554726184882600387580788736) (not (<=.f64 n 4739053125085073/13164036458569648337239753460458804039861886925068638906788872192))) (+.f64 1 (*.f64 2 (/.f64 f n))) -1)
(if (<=.f64 n -7067388259113537/3533694129556768659166595001485837031654967793751237916243212402585239552) 1 (if (<=.f64 n 7898421875141789/6582018229284824168619876730229402019930943462534319453394436096) -1 1))
-1
Compiler

Compiled 82 to 59 computations (28% saved)

soundness1.2s (20.8%)

Rules
2038×fma-def
1948×prod-diff
1552×prod-diff
1516×prod-diff
983×log1p-expm1-u
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
028269
174245
2194229
3558217
41734217
53224217
63959217
74143217
84219217
94243217
104243217
01031
113131
2207131
020106
1268106
23760106
01268
116762
2263762
021299
1388281
25623281
Stop Event
node limit
node limit
node limit
node limit
saturated
Compiler

Compiled 375 to 153 computations (59.2% saved)

end0.0ms (0%)

preprocess55.0ms (1%)

Compiler

Compiled 164 to 106 computations (35.4% saved)

Profiling

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