2log (problem 3.3.6)

Time bar (total: 8.9s)

analyze0.0ms (0%)

Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%3.2%96.8%0%0%0%0
100%3.2%0%96.8%0%0%0%1
Compiler

Compiled 15 to 11 computations (26.7% saved)

sample1.8s (20.5%)

Results
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Bogosity

preprocess181.0ms (2%)

Algorithm
egg-herbie
Rules
168×fma-define
132×fma-neg
66×sub-neg
44×unsub-neg
40×associate--r+
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
2510-2(24.43252361716892)(-.f64 (log.f64 (+.f64 N 1)) (log.f64 N))
00-0-1
00-0-(log.f64 N)
00-0-(log.f64 (+.f64 N 1))
00-0-(+.f64 N 1)
00-0-N
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
017128
133104
263100
3109100
4175100
5268100
6346100
7405100
8457100
9492100
10518100
11520100
Stop Event
saturated
Calls
Call 1
Inputs
(-.f64 (log.f64 (+.f64 N 1)) (log.f64 N))
(-.f64 (log.f64 (+.f64 N 1)) (log.f64 N))
(-.f64 (log.f64 (+.f64 (neg.f64 N) 1)) (log.f64 (neg.f64 N)))
(neg.f64 (-.f64 (log.f64 (+.f64 (neg.f64 N) 1)) (log.f64 (neg.f64 N))))
Outputs
(-.f64 (log.f64 (+.f64 N 1)) (log.f64 N))
(-.f64 (log1p.f64 N) (log.f64 N))
(-.f64 (log.f64 (+.f64 N 1)) (log.f64 N))
(-.f64 (log1p.f64 N) (log.f64 N))
(-.f64 (log.f64 (+.f64 (neg.f64 N) 1)) (log.f64 (neg.f64 N)))
(-.f64 (log.f64 (+.f64 1 (neg.f64 N))) (log.f64 (neg.f64 N)))
(-.f64 (log1p.f64 (neg.f64 N)) (log.f64 (neg.f64 N)))
(neg.f64 (-.f64 (log.f64 (+.f64 (neg.f64 N) 1)) (log.f64 (neg.f64 N))))
(neg.f64 (-.f64 (log.f64 (+.f64 1 (neg.f64 N))) (log.f64 (neg.f64 N))))
(neg.f64 (-.f64 (log1p.f64 (neg.f64 N)) (log.f64 (neg.f64 N))))
(-.f64 (log.f64 (neg.f64 N)) (log1p.f64 (neg.f64 N)))
Compiler

Compiled 48 to 32 computations (33.3% saved)

eval0.0ms (0%)

Compiler

Compiled 6 to 4 computations (33.3% saved)

prune1.0ms (0%)

Alt Table
Click to see full alt table
StatusAccuracyProgram
20.7%
(-.f64 (log1p.f64 N) (log.f64 N))
Compiler

Compiled 6 to 4 computations (33.3% saved)

localize35.0ms (0.4%)

Localize:

Found 1 expressions with local error:

NewAccuracyProgram
20.7%
(-.f64 (log1p.f64 N) (log.f64 N))
Compiler

Compiled 12 to 5 computations (58.3% saved)

series3.0ms (0%)

Counts
1 → 12
Calls

3 calls:

TimeVariablePointExpression
1.0ms
N
@-inf
(-.f64 (log1p.f64 N) (log.f64 N))
1.0ms
N
@inf
(-.f64 (log1p.f64 N) (log.f64 N))
1.0ms
N
@0
(-.f64 (log1p.f64 N) (log.f64 N))

rewrite365.0ms (4.1%)

Algorithm
batch-egg-rewrite
Rules
788×prod-diff
752×unpow-prod-down
446×log1p-expm1-u
446×expm1-log1p-u
418×add-exp-log
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0921
19221
2120121
Stop Event
node limit
Counts
1 → 95
Calls
Call 1
Inputs
(-.f64 (log1p.f64 N) (log.f64 N))
Outputs
(+.f64 (log1p.f64 N) (neg.f64 (log.f64 N)))
(+.f64 (log1p.f64 N) (*.f64 (neg.f64 (log.f64 N)) 1))
(+.f64 (-.f64 (log1p.f64 N) (log.f64 N)) (fma.f64 (neg.f64 (log.f64 N)) 1 (log.f64 N)))
(+.f64 (-.f64 (log1p.f64 N) (log.f64 N)) (fma.f64 (neg.f64 (cbrt.f64 (log.f64 N))) (pow.f64 (cbrt.f64 (log.f64 N)) 2) (log.f64 N)))
(+.f64 (-.f64 (log1p.f64 N) (log.f64 N)) (+.f64 (neg.f64 (log.f64 N)) (log.f64 N)))
(+.f64 (-.f64 (log1p.f64 N) (log.f64 N)) (fma.f64 -1 (log.f64 N) (log.f64 N)))
(+.f64 (-.f64 (log1p.f64 N) (log.f64 N)) (fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (log.f64 N)) 2)) (cbrt.f64 (log.f64 N)) (log.f64 N)))
(+.f64 (neg.f64 (log.f64 N)) (log1p.f64 N))
(+.f64 0 (-.f64 (log1p.f64 N) (log.f64 N)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 N 1) N)) 2)) (log.f64 (cbrt.f64 (/.f64 (+.f64 N 1) N))))
(+.f64 (log.f64 (sqrt.f64 (/.f64 (+.f64 N 1) N))) (log.f64 (sqrt.f64 (/.f64 (+.f64 N 1) N))))
(*.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 1)
(*.f64 (-.f64 (log1p.f64 N) (log.f64 N)) (log.f64 (E.f64)))
(*.f64 1 (-.f64 (log1p.f64 N) (log.f64 N)))
(*.f64 (cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))) (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))) 2))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))) 2) (cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))))
(*.f64 (sqrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))) (sqrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))))
(*.f64 (-.f64 (pow.f64 (log1p.f64 N) 3) (pow.f64 (log.f64 N) 3)) (/.f64 1 (fma.f64 (log.f64 N) (+.f64 (log1p.f64 N) (log.f64 N)) (pow.f64 (log1p.f64 N) 2))))
(*.f64 (-.f64 (pow.f64 (log1p.f64 N) 2) (pow.f64 (log.f64 N) 2)) (/.f64 1 (+.f64 (log1p.f64 N) (log.f64 N))))
(*.f64 (+.f64 (sqrt.f64 (log1p.f64 N)) (sqrt.f64 (log.f64 N))) (-.f64 (sqrt.f64 (log1p.f64 N)) (sqrt.f64 (log.f64 N))))
(*.f64 (pow.f64 1 1/3) (-.f64 (log1p.f64 N) (log.f64 N)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N)))) 2) 3) (cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))))
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N)))) 3) (pow.f64 (sqrt.f64 (cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N)))) 3))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 3)) 1/3) (pow.f64 (sqrt.f64 (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 3)) 1/3))
(*.f64 (pow.f64 (pow.f64 (*.f64 (-.f64 (log1p.f64 N) (log.f64 N)) (cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N)))) 2) 1/3) (cbrt.f64 (cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N)))))
(*.f64 (pow.f64 (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 5/2) 1/3) (cbrt.f64 (sqrt.f64 (-.f64 (log1p.f64 N) (log.f64 N)))))
(/.f64 1 (/.f64 (fma.f64 (log.f64 N) (+.f64 (log1p.f64 N) (log.f64 N)) (pow.f64 (log1p.f64 N) 2)) (-.f64 (pow.f64 (log1p.f64 N) 3) (pow.f64 (log.f64 N) 3))))
(/.f64 1 (/.f64 (+.f64 (log1p.f64 N) (log.f64 N)) (-.f64 (pow.f64 (log1p.f64 N) 2) (pow.f64 (log.f64 N) 2))))
(/.f64 (-.f64 (pow.f64 (log1p.f64 N) 3) (pow.f64 (log.f64 N) 3)) (fma.f64 (log.f64 N) (+.f64 (log1p.f64 N) (log.f64 N)) (pow.f64 (log1p.f64 N) 2)))
(/.f64 (-.f64 (pow.f64 (log1p.f64 N) 2) (pow.f64 (log.f64 N) 2)) (+.f64 (log1p.f64 N) (log.f64 N)))
(/.f64 (neg.f64 (-.f64 (pow.f64 (log1p.f64 N) 3) (pow.f64 (log.f64 N) 3))) (neg.f64 (fma.f64 (log.f64 N) (+.f64 (log1p.f64 N) (log.f64 N)) (pow.f64 (log1p.f64 N) 2))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (log1p.f64 N) 2) (pow.f64 (log.f64 N) 2))) (neg.f64 (+.f64 (log1p.f64 N) (log.f64 N))))
(/.f64 (+.f64 (pow.f64 (log1p.f64 N) 3) (pow.f64 (neg.f64 (log.f64 N)) 3)) (+.f64 (pow.f64 (log1p.f64 N) 2) (-.f64 (pow.f64 (neg.f64 (log.f64 N)) 2) (*.f64 (log1p.f64 N) (neg.f64 (log.f64 N))))))
(/.f64 (-.f64 (pow.f64 (log1p.f64 N) 2) (pow.f64 (neg.f64 (log.f64 N)) 2)) (-.f64 (log1p.f64 N) (neg.f64 (log.f64 N))))
(pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 1)
(pow.f64 (cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))) 3)
(pow.f64 (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 2) 1/2)
(pow.f64 (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 3) 1/3)
(pow.f64 (sqrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))) 2)
(pow.f64 (E.f64) (log.f64 (-.f64 (log1p.f64 N) (log.f64 N))))
(pow.f64 (/.f64 (fma.f64 (log.f64 N) (+.f64 (log1p.f64 N) (log.f64 N)) (pow.f64 (log1p.f64 N) 2)) (-.f64 (pow.f64 (log1p.f64 N) 3) (pow.f64 (log.f64 N) 3))) -1)
(pow.f64 (/.f64 (+.f64 (log1p.f64 N) (log.f64 N)) (-.f64 (pow.f64 (log1p.f64 N) 2) (pow.f64 (log.f64 N) 2))) -1)
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (-.f64 (log1p.f64 N) (log.f64 N)))) 2)) (cbrt.f64 (log.f64 (-.f64 (log1p.f64 N) (log.f64 N)))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (-.f64 (log1p.f64 N) (log.f64 N))))) (sqrt.f64 (log.f64 (-.f64 (log1p.f64 N) (log.f64 N)))))
(sqrt.f64 (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 2))
(log.f64 (/.f64 (+.f64 N 1) N))
(cbrt.f64 (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 3))
(expm1.f64 (log1p.f64 (-.f64 (log1p.f64 N) (log.f64 N))))
(log1p.f64 (-.f64 (/.f64 (+.f64 N 1) N) 1))
(exp.f64 (log.f64 (-.f64 (log1p.f64 N) (log.f64 N))))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N)))) 3))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (-.f64 (log1p.f64 N) (log.f64 N)))) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (-.f64 (log1p.f64 N) (log.f64 N)))) 2))
(fma.f64 (log1p.f64 N) 1 (neg.f64 (log.f64 N)))
(fma.f64 (log1p.f64 N) 1 (*.f64 (neg.f64 (log.f64 N)) 1))
(fma.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 1 (fma.f64 (neg.f64 (log.f64 N)) 1 (log.f64 N)))
(fma.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 1 (fma.f64 (neg.f64 (cbrt.f64 (log.f64 N))) (pow.f64 (cbrt.f64 (log.f64 N)) 2) (log.f64 N)))
(fma.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 1 (+.f64 (neg.f64 (log.f64 N)) (log.f64 N)))
(fma.f64 1 (log1p.f64 N) (neg.f64 (log.f64 N)))
(fma.f64 1 (log1p.f64 N) (*.f64 (neg.f64 (log.f64 N)) 1))
(fma.f64 1 (-.f64 (log1p.f64 N) (log.f64 N)) (fma.f64 (neg.f64 (log.f64 N)) 1 (log.f64 N)))
(fma.f64 1 (-.f64 (log1p.f64 N) (log.f64 N)) (fma.f64 (neg.f64 (cbrt.f64 (log.f64 N))) (pow.f64 (cbrt.f64 (log.f64 N)) 2) (log.f64 N)))
(fma.f64 1 (-.f64 (log1p.f64 N) (log.f64 N)) (+.f64 (neg.f64 (log.f64 N)) (log.f64 N)))
(fma.f64 1 (neg.f64 (log.f64 N)) (log1p.f64 N))
(fma.f64 (cbrt.f64 (log1p.f64 N)) (pow.f64 (cbrt.f64 (log1p.f64 N)) 2) (neg.f64 (log.f64 N)))
(fma.f64 (cbrt.f64 (log1p.f64 N)) (pow.f64 (cbrt.f64 (log1p.f64 N)) 2) (*.f64 (neg.f64 (log.f64 N)) 1))
(fma.f64 (pow.f64 (cbrt.f64 (log1p.f64 N)) 2) (cbrt.f64 (log1p.f64 N)) (neg.f64 (log.f64 N)))
(fma.f64 (pow.f64 (cbrt.f64 (log1p.f64 N)) 2) (cbrt.f64 (log1p.f64 N)) (*.f64 (neg.f64 (log.f64 N)) 1))
(fma.f64 (pow.f64 (cbrt.f64 (log.f64 N)) 2) (neg.f64 (cbrt.f64 (log.f64 N))) (log1p.f64 N))
(fma.f64 (cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))) (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))) 2) (fma.f64 (neg.f64 (log.f64 N)) 1 (log.f64 N)))
(fma.f64 (cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))) (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))) 2) (fma.f64 (neg.f64 (cbrt.f64 (log.f64 N))) (pow.f64 (cbrt.f64 (log.f64 N)) 2) (log.f64 N)))
(fma.f64 (cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))) (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))) 2) (+.f64 (neg.f64 (log.f64 N)) (log.f64 N)))
(fma.f64 (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))) 2) (cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))) (fma.f64 (neg.f64 (log.f64 N)) 1 (log.f64 N)))
(fma.f64 (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))) 2) (cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))) (fma.f64 (neg.f64 (cbrt.f64 (log.f64 N))) (pow.f64 (cbrt.f64 (log.f64 N)) 2) (log.f64 N)))
(fma.f64 (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))) 2) (cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))) (+.f64 (neg.f64 (log.f64 N)) (log.f64 N)))
(fma.f64 (sqrt.f64 (log1p.f64 N)) (sqrt.f64 (log1p.f64 N)) (neg.f64 (log.f64 N)))
(fma.f64 (sqrt.f64 (log1p.f64 N)) (sqrt.f64 (log1p.f64 N)) (*.f64 (neg.f64 (log.f64 N)) 1))
(fma.f64 (sqrt.f64 (log.f64 N)) (neg.f64 (sqrt.f64 (log.f64 N))) (log1p.f64 N))
(fma.f64 (sqrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))) (sqrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))) (fma.f64 (neg.f64 (log.f64 N)) 1 (log.f64 N)))
(fma.f64 (sqrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))) (sqrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))) (fma.f64 (neg.f64 (cbrt.f64 (log.f64 N))) (pow.f64 (cbrt.f64 (log.f64 N)) 2) (log.f64 N)))
(fma.f64 (sqrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))) (sqrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))) (+.f64 (neg.f64 (log.f64 N)) (log.f64 N)))
(fma.f64 (-.f64 (pow.f64 (log1p.f64 N) 3) (pow.f64 (log.f64 N) 3)) (/.f64 1 (fma.f64 (log.f64 N) (+.f64 (log1p.f64 N) (log.f64 N)) (pow.f64 (log1p.f64 N) 2))) (fma.f64 (neg.f64 (log.f64 N)) 1 (log.f64 N)))
(fma.f64 (-.f64 (pow.f64 (log1p.f64 N) 3) (pow.f64 (log.f64 N) 3)) (/.f64 1 (fma.f64 (log.f64 N) (+.f64 (log1p.f64 N) (log.f64 N)) (pow.f64 (log1p.f64 N) 2))) (fma.f64 (neg.f64 (cbrt.f64 (log.f64 N))) (pow.f64 (cbrt.f64 (log.f64 N)) 2) (log.f64 N)))
(fma.f64 (-.f64 (pow.f64 (log1p.f64 N) 3) (pow.f64 (log.f64 N) 3)) (/.f64 1 (fma.f64 (log.f64 N) (+.f64 (log1p.f64 N) (log.f64 N)) (pow.f64 (log1p.f64 N) 2))) (+.f64 (neg.f64 (log.f64 N)) (log.f64 N)))
(fma.f64 (-.f64 (pow.f64 (log1p.f64 N) 2) (pow.f64 (log.f64 N) 2)) (/.f64 1 (+.f64 (log1p.f64 N) (log.f64 N))) (fma.f64 (neg.f64 (log.f64 N)) 1 (log.f64 N)))
(fma.f64 (-.f64 (pow.f64 (log1p.f64 N) 2) (pow.f64 (log.f64 N) 2)) (/.f64 1 (+.f64 (log1p.f64 N) (log.f64 N))) (fma.f64 (neg.f64 (cbrt.f64 (log.f64 N))) (pow.f64 (cbrt.f64 (log.f64 N)) 2) (log.f64 N)))
(fma.f64 (-.f64 (pow.f64 (log1p.f64 N) 2) (pow.f64 (log.f64 N) 2)) (/.f64 1 (+.f64 (log1p.f64 N) (log.f64 N))) (+.f64 (neg.f64 (log.f64 N)) (log.f64 N)))
(fma.f64 (neg.f64 (sqrt.f64 (log.f64 N))) (sqrt.f64 (log.f64 N)) (log1p.f64 N))
(fma.f64 (pow.f64 (cbrt.f64 (neg.f64 (log.f64 N))) 2) (cbrt.f64 (neg.f64 (log.f64 N))) (log1p.f64 N))
(fma.f64 (sqrt.f64 (neg.f64 (log.f64 N))) (sqrt.f64 (neg.f64 (log.f64 N))) (log1p.f64 N))
(fma.f64 -1 (log.f64 N) (log1p.f64 N))
(fma.f64 (+.f64 (sqrt.f64 (log1p.f64 N)) (sqrt.f64 (log.f64 N))) (-.f64 (sqrt.f64 (log1p.f64 N)) (sqrt.f64 (log.f64 N))) (fma.f64 (neg.f64 (log.f64 N)) 1 (log.f64 N)))
(fma.f64 (+.f64 (sqrt.f64 (log1p.f64 N)) (sqrt.f64 (log.f64 N))) (-.f64 (sqrt.f64 (log1p.f64 N)) (sqrt.f64 (log.f64 N))) (fma.f64 (neg.f64 (cbrt.f64 (log.f64 N))) (pow.f64 (cbrt.f64 (log.f64 N)) 2) (log.f64 N)))
(fma.f64 (+.f64 (sqrt.f64 (log1p.f64 N)) (sqrt.f64 (log.f64 N))) (-.f64 (sqrt.f64 (log1p.f64 N)) (sqrt.f64 (log.f64 N))) (+.f64 (neg.f64 (log.f64 N)) (log.f64 N)))
(fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (log.f64 N)) 2)) (cbrt.f64 (log.f64 N)) (log1p.f64 N))

simplify98.0ms (1.1%)

Algorithm
egg-herbie
Rules
1210×fma-define
674×associate-*r*
648×distribute-lft-neg-in
604×associate-*l*
596×unswap-sqr
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
02283435
14983353
213233341
354573341
Stop Event
node limit
Counts
107 → 128
Calls
Call 1
Inputs
(*.f64 -1 (log.f64 N))
(+.f64 N (*.f64 -1 (log.f64 N)))
(+.f64 N (+.f64 (*.f64 -1 (log.f64 N)) (*.f64 -1/2 (pow.f64 N 2))))
(+.f64 N (+.f64 (*.f64 -1 (log.f64 N)) (+.f64 (*.f64 -1/2 (pow.f64 N 2)) (*.f64 1/3 (pow.f64 N 3)))))
(/.f64 1 N)
(-.f64 (/.f64 1 N) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 N 3))) (/.f64 1 N)) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 N 3))) (/.f64 1 N)) (+.f64 (*.f64 1/4 (/.f64 1 (pow.f64 N 4))) (*.f64 1/2 (/.f64 1 (pow.f64 N 2)))))
(/.f64 1 N)
(-.f64 (/.f64 1 N) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 N 3))) (/.f64 1 N)) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 N 3))) (/.f64 1 N)) (+.f64 (*.f64 1/4 (/.f64 1 (pow.f64 N 4))) (*.f64 1/2 (/.f64 1 (pow.f64 N 2)))))
(+.f64 (log1p.f64 N) (neg.f64 (log.f64 N)))
(+.f64 (log1p.f64 N) (*.f64 (neg.f64 (log.f64 N)) 1))
(+.f64 (-.f64 (log1p.f64 N) (log.f64 N)) (fma.f64 (neg.f64 (log.f64 N)) 1 (log.f64 N)))
(+.f64 (-.f64 (log1p.f64 N) (log.f64 N)) (fma.f64 (neg.f64 (cbrt.f64 (log.f64 N))) (pow.f64 (cbrt.f64 (log.f64 N)) 2) (log.f64 N)))
(+.f64 (-.f64 (log1p.f64 N) (log.f64 N)) (+.f64 (neg.f64 (log.f64 N)) (log.f64 N)))
(+.f64 (-.f64 (log1p.f64 N) (log.f64 N)) (fma.f64 -1 (log.f64 N) (log.f64 N)))
(+.f64 (-.f64 (log1p.f64 N) (log.f64 N)) (fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (log.f64 N)) 2)) (cbrt.f64 (log.f64 N)) (log.f64 N)))
(+.f64 (neg.f64 (log.f64 N)) (log1p.f64 N))
(+.f64 0 (-.f64 (log1p.f64 N) (log.f64 N)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 N 1) N)) 2)) (log.f64 (cbrt.f64 (/.f64 (+.f64 N 1) N))))
(+.f64 (log.f64 (sqrt.f64 (/.f64 (+.f64 N 1) N))) (log.f64 (sqrt.f64 (/.f64 (+.f64 N 1) N))))
(*.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 1)
(*.f64 (-.f64 (log1p.f64 N) (log.f64 N)) (log.f64 (E.f64)))
(*.f64 1 (-.f64 (log1p.f64 N) (log.f64 N)))
(*.f64 (cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))) (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))) 2))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))) 2) (cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))))
(*.f64 (sqrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))) (sqrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))))
(*.f64 (-.f64 (pow.f64 (log1p.f64 N) 3) (pow.f64 (log.f64 N) 3)) (/.f64 1 (fma.f64 (log.f64 N) (+.f64 (log1p.f64 N) (log.f64 N)) (pow.f64 (log1p.f64 N) 2))))
(*.f64 (-.f64 (pow.f64 (log1p.f64 N) 2) (pow.f64 (log.f64 N) 2)) (/.f64 1 (+.f64 (log1p.f64 N) (log.f64 N))))
(*.f64 (+.f64 (sqrt.f64 (log1p.f64 N)) (sqrt.f64 (log.f64 N))) (-.f64 (sqrt.f64 (log1p.f64 N)) (sqrt.f64 (log.f64 N))))
(*.f64 (pow.f64 1 1/3) (-.f64 (log1p.f64 N) (log.f64 N)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N)))) 2) 3) (cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))))
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N)))) 3) (pow.f64 (sqrt.f64 (cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N)))) 3))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 3)) 1/3) (pow.f64 (sqrt.f64 (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 3)) 1/3))
(*.f64 (pow.f64 (pow.f64 (*.f64 (-.f64 (log1p.f64 N) (log.f64 N)) (cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N)))) 2) 1/3) (cbrt.f64 (cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N)))))
(*.f64 (pow.f64 (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 5/2) 1/3) (cbrt.f64 (sqrt.f64 (-.f64 (log1p.f64 N) (log.f64 N)))))
(/.f64 1 (/.f64 (fma.f64 (log.f64 N) (+.f64 (log1p.f64 N) (log.f64 N)) (pow.f64 (log1p.f64 N) 2)) (-.f64 (pow.f64 (log1p.f64 N) 3) (pow.f64 (log.f64 N) 3))))
(/.f64 1 (/.f64 (+.f64 (log1p.f64 N) (log.f64 N)) (-.f64 (pow.f64 (log1p.f64 N) 2) (pow.f64 (log.f64 N) 2))))
(/.f64 (-.f64 (pow.f64 (log1p.f64 N) 3) (pow.f64 (log.f64 N) 3)) (fma.f64 (log.f64 N) (+.f64 (log1p.f64 N) (log.f64 N)) (pow.f64 (log1p.f64 N) 2)))
(/.f64 (-.f64 (pow.f64 (log1p.f64 N) 2) (pow.f64 (log.f64 N) 2)) (+.f64 (log1p.f64 N) (log.f64 N)))
(/.f64 (neg.f64 (-.f64 (pow.f64 (log1p.f64 N) 3) (pow.f64 (log.f64 N) 3))) (neg.f64 (fma.f64 (log.f64 N) (+.f64 (log1p.f64 N) (log.f64 N)) (pow.f64 (log1p.f64 N) 2))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (log1p.f64 N) 2) (pow.f64 (log.f64 N) 2))) (neg.f64 (+.f64 (log1p.f64 N) (log.f64 N))))
(/.f64 (+.f64 (pow.f64 (log1p.f64 N) 3) (pow.f64 (neg.f64 (log.f64 N)) 3)) (+.f64 (pow.f64 (log1p.f64 N) 2) (-.f64 (pow.f64 (neg.f64 (log.f64 N)) 2) (*.f64 (log1p.f64 N) (neg.f64 (log.f64 N))))))
(/.f64 (-.f64 (pow.f64 (log1p.f64 N) 2) (pow.f64 (neg.f64 (log.f64 N)) 2)) (-.f64 (log1p.f64 N) (neg.f64 (log.f64 N))))
(pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 1)
(pow.f64 (cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))) 3)
(pow.f64 (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 2) 1/2)
(pow.f64 (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 3) 1/3)
(pow.f64 (sqrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))) 2)
(pow.f64 (E.f64) (log.f64 (-.f64 (log1p.f64 N) (log.f64 N))))
(pow.f64 (/.f64 (fma.f64 (log.f64 N) (+.f64 (log1p.f64 N) (log.f64 N)) (pow.f64 (log1p.f64 N) 2)) (-.f64 (pow.f64 (log1p.f64 N) 3) (pow.f64 (log.f64 N) 3))) -1)
(pow.f64 (/.f64 (+.f64 (log1p.f64 N) (log.f64 N)) (-.f64 (pow.f64 (log1p.f64 N) 2) (pow.f64 (log.f64 N) 2))) -1)
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (-.f64 (log1p.f64 N) (log.f64 N)))) 2)) (cbrt.f64 (log.f64 (-.f64 (log1p.f64 N) (log.f64 N)))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (-.f64 (log1p.f64 N) (log.f64 N))))) (sqrt.f64 (log.f64 (-.f64 (log1p.f64 N) (log.f64 N)))))
(sqrt.f64 (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 2))
(log.f64 (/.f64 (+.f64 N 1) N))
(cbrt.f64 (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 3))
(expm1.f64 (log1p.f64 (-.f64 (log1p.f64 N) (log.f64 N))))
(log1p.f64 (-.f64 (/.f64 (+.f64 N 1) N) 1))
(exp.f64 (log.f64 (-.f64 (log1p.f64 N) (log.f64 N))))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N)))) 3))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (-.f64 (log1p.f64 N) (log.f64 N)))) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (-.f64 (log1p.f64 N) (log.f64 N)))) 2))
(fma.f64 (log1p.f64 N) 1 (neg.f64 (log.f64 N)))
(fma.f64 (log1p.f64 N) 1 (*.f64 (neg.f64 (log.f64 N)) 1))
(fma.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 1 (fma.f64 (neg.f64 (log.f64 N)) 1 (log.f64 N)))
(fma.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 1 (fma.f64 (neg.f64 (cbrt.f64 (log.f64 N))) (pow.f64 (cbrt.f64 (log.f64 N)) 2) (log.f64 N)))
(fma.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 1 (+.f64 (neg.f64 (log.f64 N)) (log.f64 N)))
(fma.f64 1 (log1p.f64 N) (neg.f64 (log.f64 N)))
(fma.f64 1 (log1p.f64 N) (*.f64 (neg.f64 (log.f64 N)) 1))
(fma.f64 1 (-.f64 (log1p.f64 N) (log.f64 N)) (fma.f64 (neg.f64 (log.f64 N)) 1 (log.f64 N)))
(fma.f64 1 (-.f64 (log1p.f64 N) (log.f64 N)) (fma.f64 (neg.f64 (cbrt.f64 (log.f64 N))) (pow.f64 (cbrt.f64 (log.f64 N)) 2) (log.f64 N)))
(fma.f64 1 (-.f64 (log1p.f64 N) (log.f64 N)) (+.f64 (neg.f64 (log.f64 N)) (log.f64 N)))
(fma.f64 1 (neg.f64 (log.f64 N)) (log1p.f64 N))
(fma.f64 (cbrt.f64 (log1p.f64 N)) (pow.f64 (cbrt.f64 (log1p.f64 N)) 2) (neg.f64 (log.f64 N)))
(fma.f64 (cbrt.f64 (log1p.f64 N)) (pow.f64 (cbrt.f64 (log1p.f64 N)) 2) (*.f64 (neg.f64 (log.f64 N)) 1))
(fma.f64 (pow.f64 (cbrt.f64 (log1p.f64 N)) 2) (cbrt.f64 (log1p.f64 N)) (neg.f64 (log.f64 N)))
(fma.f64 (pow.f64 (cbrt.f64 (log1p.f64 N)) 2) (cbrt.f64 (log1p.f64 N)) (*.f64 (neg.f64 (log.f64 N)) 1))
(fma.f64 (pow.f64 (cbrt.f64 (log.f64 N)) 2) (neg.f64 (cbrt.f64 (log.f64 N))) (log1p.f64 N))
(fma.f64 (cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))) (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))) 2) (fma.f64 (neg.f64 (log.f64 N)) 1 (log.f64 N)))
(fma.f64 (cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))) (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))) 2) (fma.f64 (neg.f64 (cbrt.f64 (log.f64 N))) (pow.f64 (cbrt.f64 (log.f64 N)) 2) (log.f64 N)))
(fma.f64 (cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))) (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))) 2) (+.f64 (neg.f64 (log.f64 N)) (log.f64 N)))
(fma.f64 (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))) 2) (cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))) (fma.f64 (neg.f64 (log.f64 N)) 1 (log.f64 N)))
(fma.f64 (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))) 2) (cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))) (fma.f64 (neg.f64 (cbrt.f64 (log.f64 N))) (pow.f64 (cbrt.f64 (log.f64 N)) 2) (log.f64 N)))
(fma.f64 (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))) 2) (cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))) (+.f64 (neg.f64 (log.f64 N)) (log.f64 N)))
(fma.f64 (sqrt.f64 (log1p.f64 N)) (sqrt.f64 (log1p.f64 N)) (neg.f64 (log.f64 N)))
(fma.f64 (sqrt.f64 (log1p.f64 N)) (sqrt.f64 (log1p.f64 N)) (*.f64 (neg.f64 (log.f64 N)) 1))
(fma.f64 (sqrt.f64 (log.f64 N)) (neg.f64 (sqrt.f64 (log.f64 N))) (log1p.f64 N))
(fma.f64 (sqrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))) (sqrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))) (fma.f64 (neg.f64 (log.f64 N)) 1 (log.f64 N)))
(fma.f64 (sqrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))) (sqrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))) (fma.f64 (neg.f64 (cbrt.f64 (log.f64 N))) (pow.f64 (cbrt.f64 (log.f64 N)) 2) (log.f64 N)))
(fma.f64 (sqrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))) (sqrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))) (+.f64 (neg.f64 (log.f64 N)) (log.f64 N)))
(fma.f64 (-.f64 (pow.f64 (log1p.f64 N) 3) (pow.f64 (log.f64 N) 3)) (/.f64 1 (fma.f64 (log.f64 N) (+.f64 (log1p.f64 N) (log.f64 N)) (pow.f64 (log1p.f64 N) 2))) (fma.f64 (neg.f64 (log.f64 N)) 1 (log.f64 N)))
(fma.f64 (-.f64 (pow.f64 (log1p.f64 N) 3) (pow.f64 (log.f64 N) 3)) (/.f64 1 (fma.f64 (log.f64 N) (+.f64 (log1p.f64 N) (log.f64 N)) (pow.f64 (log1p.f64 N) 2))) (fma.f64 (neg.f64 (cbrt.f64 (log.f64 N))) (pow.f64 (cbrt.f64 (log.f64 N)) 2) (log.f64 N)))
(fma.f64 (-.f64 (pow.f64 (log1p.f64 N) 3) (pow.f64 (log.f64 N) 3)) (/.f64 1 (fma.f64 (log.f64 N) (+.f64 (log1p.f64 N) (log.f64 N)) (pow.f64 (log1p.f64 N) 2))) (+.f64 (neg.f64 (log.f64 N)) (log.f64 N)))
(fma.f64 (-.f64 (pow.f64 (log1p.f64 N) 2) (pow.f64 (log.f64 N) 2)) (/.f64 1 (+.f64 (log1p.f64 N) (log.f64 N))) (fma.f64 (neg.f64 (log.f64 N)) 1 (log.f64 N)))
(fma.f64 (-.f64 (pow.f64 (log1p.f64 N) 2) (pow.f64 (log.f64 N) 2)) (/.f64 1 (+.f64 (log1p.f64 N) (log.f64 N))) (fma.f64 (neg.f64 (cbrt.f64 (log.f64 N))) (pow.f64 (cbrt.f64 (log.f64 N)) 2) (log.f64 N)))
(fma.f64 (-.f64 (pow.f64 (log1p.f64 N) 2) (pow.f64 (log.f64 N) 2)) (/.f64 1 (+.f64 (log1p.f64 N) (log.f64 N))) (+.f64 (neg.f64 (log.f64 N)) (log.f64 N)))
(fma.f64 (neg.f64 (sqrt.f64 (log.f64 N))) (sqrt.f64 (log.f64 N)) (log1p.f64 N))
(fma.f64 (pow.f64 (cbrt.f64 (neg.f64 (log.f64 N))) 2) (cbrt.f64 (neg.f64 (log.f64 N))) (log1p.f64 N))
(fma.f64 (sqrt.f64 (neg.f64 (log.f64 N))) (sqrt.f64 (neg.f64 (log.f64 N))) (log1p.f64 N))
(fma.f64 -1 (log.f64 N) (log1p.f64 N))
(fma.f64 (+.f64 (sqrt.f64 (log1p.f64 N)) (sqrt.f64 (log.f64 N))) (-.f64 (sqrt.f64 (log1p.f64 N)) (sqrt.f64 (log.f64 N))) (fma.f64 (neg.f64 (log.f64 N)) 1 (log.f64 N)))
(fma.f64 (+.f64 (sqrt.f64 (log1p.f64 N)) (sqrt.f64 (log.f64 N))) (-.f64 (sqrt.f64 (log1p.f64 N)) (sqrt.f64 (log.f64 N))) (fma.f64 (neg.f64 (cbrt.f64 (log.f64 N))) (pow.f64 (cbrt.f64 (log.f64 N)) 2) (log.f64 N)))
(fma.f64 (+.f64 (sqrt.f64 (log1p.f64 N)) (sqrt.f64 (log.f64 N))) (-.f64 (sqrt.f64 (log1p.f64 N)) (sqrt.f64 (log.f64 N))) (+.f64 (neg.f64 (log.f64 N)) (log.f64 N)))
(fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (log.f64 N)) 2)) (cbrt.f64 (log.f64 N)) (log1p.f64 N))
Outputs
(*.f64 -1 (log.f64 N))
(neg.f64 (log.f64 N))
(+.f64 N (*.f64 -1 (log.f64 N)))
(+.f64 N (neg.f64 (log.f64 N)))
(-.f64 N (log.f64 N))
(+.f64 N (+.f64 (*.f64 -1 (log.f64 N)) (*.f64 -1/2 (pow.f64 N 2))))
(+.f64 N (fma.f64 -1 (log.f64 N) (*.f64 -1/2 (pow.f64 N 2))))
(+.f64 N (-.f64 (*.f64 -1/2 (pow.f64 N 2)) (log.f64 N)))
(fma.f64 -1/2 (pow.f64 N 2) (-.f64 N (log.f64 N)))
(+.f64 N (+.f64 (*.f64 -1 (log.f64 N)) (+.f64 (*.f64 -1/2 (pow.f64 N 2)) (*.f64 1/3 (pow.f64 N 3)))))
(+.f64 N (fma.f64 -1 (log.f64 N) (fma.f64 -1/2 (pow.f64 N 2) (*.f64 1/3 (pow.f64 N 3)))))
(+.f64 (fma.f64 -1/2 (pow.f64 N 2) (*.f64 1/3 (pow.f64 N 3))) (-.f64 N (log.f64 N)))
(+.f64 N (-.f64 (*.f64 (pow.f64 N 2) (+.f64 -1/2 (*.f64 N 1/3))) (log.f64 N)))
(/.f64 1 N)
(-.f64 (/.f64 1 N) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (/.f64 1 N) (/.f64 1/2 (pow.f64 N 2)))
(+.f64 (/.f64 1 N) (/.f64 -1/2 (pow.f64 N 2)))
(-.f64 (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 N 3))) (/.f64 1 N)) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (-.f64 (/.f64 1 N) (/.f64 1/2 (pow.f64 N 2))))
(+.f64 (/.f64 1 N) (+.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 -1/2 (pow.f64 N 2))))
(-.f64 (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 N 3))) (/.f64 1 N)) (+.f64 (*.f64 1/4 (/.f64 1 (pow.f64 N 4))) (*.f64 1/2 (/.f64 1 (pow.f64 N 2)))))
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (-.f64 (/.f64 1 N) (+.f64 (/.f64 1/2 (pow.f64 N 2)) (/.f64 1/4 (pow.f64 N 4)))))
(+.f64 (/.f64 1 N) (+.f64 (/.f64 1/3 (pow.f64 N 3)) (+.f64 (/.f64 -1/2 (pow.f64 N 2)) (/.f64 -1/4 (pow.f64 N 4)))))
(/.f64 1 N)
(-.f64 (/.f64 1 N) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (/.f64 1 N) (/.f64 1/2 (pow.f64 N 2)))
(+.f64 (/.f64 1 N) (/.f64 -1/2 (pow.f64 N 2)))
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(-.f64 (log1p.f64 N) (log.f64 N))
(fma.f64 (sqrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))) (sqrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))) (fma.f64 (neg.f64 (log.f64 N)) 1 (log.f64 N)))
(-.f64 (log1p.f64 N) (log.f64 N))
(fma.f64 (sqrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))) (sqrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))) (fma.f64 (neg.f64 (cbrt.f64 (log.f64 N))) (pow.f64 (cbrt.f64 (log.f64 N)) 2) (log.f64 N)))
(-.f64 (log1p.f64 N) (log.f64 N))
(fma.f64 (sqrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))) (sqrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))) (+.f64 (neg.f64 (log.f64 N)) (log.f64 N)))
(-.f64 (log1p.f64 N) (log.f64 N))
(fma.f64 (-.f64 (pow.f64 (log1p.f64 N) 3) (pow.f64 (log.f64 N) 3)) (/.f64 1 (fma.f64 (log.f64 N) (+.f64 (log1p.f64 N) (log.f64 N)) (pow.f64 (log1p.f64 N) 2))) (fma.f64 (neg.f64 (log.f64 N)) 1 (log.f64 N)))
(*.f64 (-.f64 (pow.f64 (log1p.f64 N) 3) (pow.f64 (log.f64 N) 3)) (/.f64 1 (fma.f64 (log.f64 N) (+.f64 (log.f64 N) (log1p.f64 N)) (pow.f64 (log1p.f64 N) 2))))
(/.f64 (-.f64 (pow.f64 (log1p.f64 N) 3) (pow.f64 (log.f64 N) 3)) (fma.f64 (log.f64 N) (+.f64 (log.f64 N) (log1p.f64 N)) (pow.f64 (log1p.f64 N) 2)))
(fma.f64 (-.f64 (pow.f64 (log1p.f64 N) 3) (pow.f64 (log.f64 N) 3)) (/.f64 1 (fma.f64 (log.f64 N) (+.f64 (log1p.f64 N) (log.f64 N)) (pow.f64 (log1p.f64 N) 2))) (fma.f64 (neg.f64 (cbrt.f64 (log.f64 N))) (pow.f64 (cbrt.f64 (log.f64 N)) 2) (log.f64 N)))
(*.f64 (-.f64 (pow.f64 (log1p.f64 N) 3) (pow.f64 (log.f64 N) 3)) (/.f64 1 (fma.f64 (log.f64 N) (+.f64 (log.f64 N) (log1p.f64 N)) (pow.f64 (log1p.f64 N) 2))))
(/.f64 (-.f64 (pow.f64 (log1p.f64 N) 3) (pow.f64 (log.f64 N) 3)) (fma.f64 (log.f64 N) (+.f64 (log.f64 N) (log1p.f64 N)) (pow.f64 (log1p.f64 N) 2)))
(fma.f64 (-.f64 (pow.f64 (log1p.f64 N) 3) (pow.f64 (log.f64 N) 3)) (/.f64 1 (fma.f64 (log.f64 N) (+.f64 (log1p.f64 N) (log.f64 N)) (pow.f64 (log1p.f64 N) 2))) (+.f64 (neg.f64 (log.f64 N)) (log.f64 N)))
(*.f64 (-.f64 (pow.f64 (log1p.f64 N) 3) (pow.f64 (log.f64 N) 3)) (/.f64 1 (fma.f64 (log.f64 N) (+.f64 (log.f64 N) (log1p.f64 N)) (pow.f64 (log1p.f64 N) 2))))
(/.f64 (-.f64 (pow.f64 (log1p.f64 N) 3) (pow.f64 (log.f64 N) 3)) (fma.f64 (log.f64 N) (+.f64 (log.f64 N) (log1p.f64 N)) (pow.f64 (log1p.f64 N) 2)))
(fma.f64 (-.f64 (pow.f64 (log1p.f64 N) 2) (pow.f64 (log.f64 N) 2)) (/.f64 1 (+.f64 (log1p.f64 N) (log.f64 N))) (fma.f64 (neg.f64 (log.f64 N)) 1 (log.f64 N)))
(-.f64 (log1p.f64 N) (log.f64 N))
(fma.f64 (-.f64 (pow.f64 (log1p.f64 N) 2) (pow.f64 (log.f64 N) 2)) (/.f64 1 (+.f64 (log1p.f64 N) (log.f64 N))) (fma.f64 (neg.f64 (cbrt.f64 (log.f64 N))) (pow.f64 (cbrt.f64 (log.f64 N)) 2) (log.f64 N)))
(-.f64 (log1p.f64 N) (log.f64 N))
(fma.f64 (-.f64 (pow.f64 (log1p.f64 N) 2) (pow.f64 (log.f64 N) 2)) (/.f64 1 (+.f64 (log1p.f64 N) (log.f64 N))) (+.f64 (neg.f64 (log.f64 N)) (log.f64 N)))
(-.f64 (log1p.f64 N) (log.f64 N))
(fma.f64 (neg.f64 (sqrt.f64 (log.f64 N))) (sqrt.f64 (log.f64 N)) (log1p.f64 N))
(-.f64 (log1p.f64 N) (log.f64 N))
(fma.f64 (pow.f64 (cbrt.f64 (neg.f64 (log.f64 N))) 2) (cbrt.f64 (neg.f64 (log.f64 N))) (log1p.f64 N))
(-.f64 (log1p.f64 N) (log.f64 N))
(fma.f64 (sqrt.f64 (neg.f64 (log.f64 N))) (sqrt.f64 (neg.f64 (log.f64 N))) (log1p.f64 N))
(-.f64 (log1p.f64 N) (log.f64 N))
(fma.f64 -1 (log.f64 N) (log1p.f64 N))
(-.f64 (log1p.f64 N) (log.f64 N))
(fma.f64 (+.f64 (sqrt.f64 (log1p.f64 N)) (sqrt.f64 (log.f64 N))) (-.f64 (sqrt.f64 (log1p.f64 N)) (sqrt.f64 (log.f64 N))) (fma.f64 (neg.f64 (log.f64 N)) 1 (log.f64 N)))
(-.f64 (log1p.f64 N) (log.f64 N))
(fma.f64 (+.f64 (sqrt.f64 (log1p.f64 N)) (sqrt.f64 (log.f64 N))) (-.f64 (sqrt.f64 (log1p.f64 N)) (sqrt.f64 (log.f64 N))) (fma.f64 (neg.f64 (cbrt.f64 (log.f64 N))) (pow.f64 (cbrt.f64 (log.f64 N)) 2) (log.f64 N)))
(-.f64 (log1p.f64 N) (log.f64 N))
(fma.f64 (+.f64 (sqrt.f64 (log1p.f64 N)) (sqrt.f64 (log.f64 N))) (-.f64 (sqrt.f64 (log1p.f64 N)) (sqrt.f64 (log.f64 N))) (+.f64 (neg.f64 (log.f64 N)) (log.f64 N)))
(-.f64 (log1p.f64 N) (log.f64 N))
(fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (log.f64 N)) 2)) (cbrt.f64 (log.f64 N)) (log1p.f64 N))
(-.f64 (log1p.f64 N) (log.f64 N))

eval34.0ms (0.4%)

Compiler

Compiled 1901 to 727 computations (61.8% saved)

prune29.0ms (0.3%)

Pruning

14 alts after pruning (13 fresh and 1 done)

PrunedKeptTotal
New11513128
Fresh000
Picked011
Done000
Total11514129
Accuracy
99.6%
Counts
129 → 14
Alt Table
Click to see full alt table
StatusAccuracyProgram
21.9%
(fma.f64 (sqrt.f64 (log1p.f64 N)) (sqrt.f64 (log1p.f64 N)) (neg.f64 (log.f64 N)))
20.7%
(pow.f64 (E.f64) (log.f64 (-.f64 (log1p.f64 N) (log.f64 N))))
20.7%
(/.f64 (-.f64 (pow.f64 (log1p.f64 N) 2) (pow.f64 (log.f64 N) 2)) (+.f64 (log1p.f64 N) (log.f64 N)))
87.0%
(/.f64 1 N)
94.0%
(-.f64 (/.f64 1 N) (/.f64 1/2 (pow.f64 N 2)))
20.7%
(-.f64 (log1p.f64 N) (log.f64 N))
96.2%
(+.f64 (/.f64 1 N) (+.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 -1/2 (pow.f64 N 2))))
96.2%
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (-.f64 (/.f64 1 N) (/.f64 1/2 (pow.f64 N 2))))
97.2%
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (-.f64 (/.f64 1 N) (+.f64 (/.f64 1/2 (pow.f64 N 2)) (/.f64 1/4 (pow.f64 N 4)))))
21.6%
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 N 1) N)) 2)) (log.f64 (cbrt.f64 (/.f64 (+.f64 N 1) N))))
22.3%
(*.f64 2 (log.f64 (sqrt.f64 (/.f64 (+.f64 N 1) N))))
23.4%
(log.f64 (/.f64 (+.f64 N 1) N))
20.7%
(expm1.f64 (log1p.f64 (-.f64 (log1p.f64 N) (log.f64 N))))
20.7%
(exp.f64 (log.f64 (-.f64 (log1p.f64 N) (log.f64 N))))
Compiler

Compiled 316 to 238 computations (24.7% saved)

localize324.0ms (3.6%)

Localize:

Found 14 expressions with local error:

NewAccuracyProgram
99.7%
(pow.f64 (cbrt.f64 (/.f64 (+.f64 N 1) N)) 2)
99.6%
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 N 1) N)) 2)) (log.f64 (cbrt.f64 (/.f64 (+.f64 N 1) N))))
22.8%
(log.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 N 1) N)) 2))
21.9%
(log.f64 (cbrt.f64 (/.f64 (+.f64 N 1) N)))
100.0%
(log.f64 (-.f64 (log1p.f64 N) (log.f64 N)))
95.0%
(exp.f64 (log.f64 (-.f64 (log1p.f64 N) (log.f64 N))))
20.7%
(-.f64 (log1p.f64 N) (log.f64 N))
100.0%
(/.f64 (+.f64 N 1) N)
99.9%
(sqrt.f64 (/.f64 (+.f64 N 1) N))
22.6%
(log.f64 (sqrt.f64 (/.f64 (+.f64 N 1) N)))
99.9%
(-.f64 (/.f64 1 N) (+.f64 (/.f64 1/2 (pow.f64 N 2)) (/.f64 1/4 (pow.f64 N 4))))
99.6%
(/.f64 1/2 (pow.f64 N 2))
99.6%
(/.f64 1/4 (pow.f64 N 4))
99.4%
(/.f64 1/3 (pow.f64 N 3))
Compiler

Compiled 203 to 140 computations (31% saved)

series47.0ms (0.5%)

Counts
13 → 120
Calls

39 calls:

TimeVariablePointExpression
5.0ms
N
@0
(log.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 N 1) N)) 2))
4.0ms
N
@0
(log.f64 (cbrt.f64 (/.f64 (+.f64 N 1) N)))
3.0ms
N
@0
(log.f64 (sqrt.f64 (/.f64 (+.f64 N 1) N)))
2.0ms
N
@0
(pow.f64 (cbrt.f64 (/.f64 (+.f64 N 1) N)) 2)
2.0ms
N
@-inf
(log.f64 (cbrt.f64 (/.f64 (+.f64 N 1) N)))

rewrite210.0ms (2.4%)

Algorithm
batch-egg-rewrite
Rules
344×associate-*r*
245×log1p-expm1-u
245×expm1-log1p-u
231×add-exp-log
230×pow1
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
036325
1560321
Stop Event
node limit
Counts
13 → 460
Calls
Call 1
Inputs
(/.f64 1/3 (pow.f64 N 3))
(/.f64 1/4 (pow.f64 N 4))
(/.f64 1/2 (pow.f64 N 2))
(-.f64 (/.f64 1 N) (+.f64 (/.f64 1/2 (pow.f64 N 2)) (/.f64 1/4 (pow.f64 N 4))))
(log.f64 (sqrt.f64 (/.f64 (+.f64 N 1) N)))
(sqrt.f64 (/.f64 (+.f64 N 1) N))
(/.f64 (+.f64 N 1) N)
(exp.f64 (log.f64 (-.f64 (log1p.f64 N) (log.f64 N))))
(log.f64 (-.f64 (log1p.f64 N) (log.f64 N)))
(log.f64 (cbrt.f64 (/.f64 (+.f64 N 1) N)))
(log.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 N 1) N)) 2))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 N 1) N)) 2)) (log.f64 (cbrt.f64 (/.f64 (+.f64 N 1) N))))
(pow.f64 (cbrt.f64 (/.f64 (+.f64 N 1) N)) 2)
Outputs
(-.f64 (exp.f64 (log1p.f64 (*.f64 1/3 (pow.f64 N -3)))) 1)
(*.f64 1/3 (pow.f64 N -3))
(*.f64 (*.f64 1/3 (pow.f64 N -3)) 1)
(*.f64 1 (*.f64 1/3 (pow.f64 N -3)))
(*.f64 (/.f64 (cbrt.f64 1/3) N) (cbrt.f64 (/.f64 1/9 (pow.f64 N 6))))
(*.f64 (cbrt.f64 (/.f64 1/9 (pow.f64 N 6))) (/.f64 (cbrt.f64 1/3) N))
(*.f64 (pow.f64 N -3) 1/3)
(*.f64 (/.f64 (sqrt.f64 1/3) (pow.f64 N 3/2)) (/.f64 (sqrt.f64 1/3) (pow.f64 N 3/2)))
(*.f64 -1/3 (/.f64 1 (neg.f64 (pow.f64 N 3))))
(pow.f64 (*.f64 1/3 (pow.f64 N -3)) 1)
(pow.f64 (/.f64 (cbrt.f64 1/3) N) 3)
(pow.f64 (pow.f64 (*.f64 1/3 (pow.f64 N -3)) 3) 1/3)
(pow.f64 (/.f64 (sqrt.f64 1/3) (pow.f64 N 3/2)) 2)
(pow.f64 (*.f64 (pow.f64 N 3) 3) -1)
(neg.f64 (/.f64 -1/3 (pow.f64 N 3)))
(sqrt.f64 (/.f64 1/9 (pow.f64 N 6)))
(log.f64 (pow.f64 (exp.f64 1/3) (pow.f64 N -3)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 1/3 (pow.f64 N -3)))))
(cbrt.f64 (pow.f64 (*.f64 1/3 (pow.f64 N -3)) 3))
(expm1.f64 (log1p.f64 (*.f64 1/3 (pow.f64 N -3))))
(log1p.f64 (expm1.f64 (*.f64 1/3 (pow.f64 N -3))))
(exp.f64 (log.f64 (*.f64 1/3 (pow.f64 N -3))))
(exp.f64 (*.f64 (log.f64 (*.f64 1/3 (pow.f64 N -3))) 1))
(-.f64 (exp.f64 (log1p.f64 (*.f64 1/4 (pow.f64 N -4)))) 1)
(*.f64 1/4 (pow.f64 N -4))
(*.f64 1/4 (*.f64 (pow.f64 N -2) (pow.f64 N -2)))
(*.f64 (*.f64 1/4 (pow.f64 N -4)) 1)
(*.f64 1/2 (*.f64 (pow.f64 N -2) (*.f64 1/2 (pow.f64 N -2))))
(*.f64 (*.f64 1/2 (pow.f64 N -2)) (*.f64 1/2 (pow.f64 N -2)))
(*.f64 1 (*.f64 1/4 (pow.f64 N -4)))
(*.f64 (cbrt.f64 (*.f64 1/4 (pow.f64 N -4))) (cbrt.f64 (/.f64 1/16 (pow.f64 N 8))))
(*.f64 (cbrt.f64 (*.f64 1/4 (pow.f64 N -4))) (*.f64 (cbrt.f64 (*.f64 1/2 (pow.f64 N -2))) (*.f64 1/2 (pow.f64 N -2))))
(*.f64 (cbrt.f64 (/.f64 1/16 (pow.f64 N 8))) (cbrt.f64 (*.f64 1/4 (pow.f64 N -4))))
(*.f64 (/.f64 (sqrt.f64 1/2) N) (*.f64 (/.f64 (sqrt.f64 1/2) N) (*.f64 1/2 (pow.f64 N -2))))
(*.f64 -1/4 (/.f64 1 (neg.f64 (pow.f64 N 4))))
(*.f64 (pow.f64 N -4) 1/4)
(*.f64 (*.f64 (*.f64 1/2 (pow.f64 N -2)) (/.f64 (sqrt.f64 1/2) N)) (/.f64 (sqrt.f64 1/2) N))
(*.f64 (*.f64 (*.f64 1/2 (pow.f64 N -2)) 1/2) (pow.f64 N -2))
(*.f64 (*.f64 (*.f64 1/2 (pow.f64 N -2)) (cbrt.f64 (*.f64 1/4 (pow.f64 N -4)))) (cbrt.f64 (*.f64 1/2 (pow.f64 N -2))))
(pow.f64 (*.f64 1/4 (pow.f64 N -4)) 1)
(pow.f64 (*.f64 1/2 (pow.f64 N -2)) 2)
(pow.f64 (cbrt.f64 (*.f64 1/4 (pow.f64 N -4))) 3)
(pow.f64 (*.f64 1/64 (pow.f64 (pow.f64 N -4) 3)) 1/3)
(pow.f64 (*.f64 (pow.f64 N 4) 4) -1)
(neg.f64 (/.f64 -1/4 (pow.f64 N 4)))
(sqrt.f64 (/.f64 1/16 (pow.f64 N 8)))
(log.f64 (pow.f64 (exp.f64 1/4) (pow.f64 N -4)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 1/4 (pow.f64 N -4)))))
(cbrt.f64 (*.f64 1/64 (pow.f64 (pow.f64 N -4) 3)))
(expm1.f64 (log1p.f64 (*.f64 1/4 (pow.f64 N -4))))
(log1p.f64 (expm1.f64 (*.f64 1/4 (pow.f64 N -4))))
(exp.f64 (log.f64 (*.f64 1/4 (pow.f64 N -4))))
(exp.f64 (*.f64 (log.f64 (*.f64 1/4 (pow.f64 N -4))) 1))
(-.f64 (exp.f64 (log1p.f64 (*.f64 1/2 (pow.f64 N -2)))) 1)
(*.f64 1/2 (pow.f64 N -2))
(*.f64 1/2 (sqrt.f64 (pow.f64 N -4)))
(*.f64 (*.f64 1/2 (pow.f64 N -2)) 1)
(*.f64 1 (*.f64 1/2 (pow.f64 N -2)))
(*.f64 (cbrt.f64 (*.f64 1/2 (pow.f64 N -2))) (cbrt.f64 (*.f64 1/4 (pow.f64 N -4))))
(*.f64 (cbrt.f64 (*.f64 1/4 (pow.f64 N -4))) (cbrt.f64 (*.f64 1/2 (pow.f64 N -2))))
(*.f64 (/.f64 (sqrt.f64 1/2) N) (/.f64 (sqrt.f64 1/2) N))
(*.f64 -1/2 (/.f64 1 (neg.f64 (pow.f64 N 2))))
(*.f64 (pow.f64 N -2) 1/2)
(*.f64 (sqrt.f64 (cbrt.f64 (/.f64 1/16 (pow.f64 N 8)))) (sqrt.f64 (cbrt.f64 (*.f64 1/4 (pow.f64 N -4)))))
(pow.f64 (*.f64 1/4 (pow.f64 N -4)) 1/2)
(pow.f64 (*.f64 1/2 (pow.f64 N -2)) 1)
(pow.f64 (cbrt.f64 (*.f64 1/2 (pow.f64 N -2))) 3)
(pow.f64 (/.f64 1/8 (pow.f64 N 6)) 1/3)
(pow.f64 (/.f64 (sqrt.f64 1/2) N) 2)
(pow.f64 (*.f64 (pow.f64 N 2) 2) -1)
(neg.f64 (/.f64 -1/2 (pow.f64 N 2)))
(sqrt.f64 (*.f64 1/4 (pow.f64 N -4)))
(fabs.f64 (*.f64 1/2 (pow.f64 N -2)))
(log.f64 (pow.f64 (exp.f64 1/2) (pow.f64 N -2)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 1/2 (pow.f64 N -2)))))
(cbrt.f64 (/.f64 1/8 (pow.f64 N 6)))
(expm1.f64 (log1p.f64 (*.f64 1/2 (pow.f64 N -2))))
(log1p.f64 (expm1.f64 (*.f64 1/2 (pow.f64 N -2))))
(exp.f64 (log.f64 (*.f64 1/2 (pow.f64 N -2))))
(exp.f64 (*.f64 (log.f64 (*.f64 1/2 (pow.f64 N -2))) 1))
(+.f64 (/.f64 1 N) (neg.f64 (fma.f64 1/4 (pow.f64 N -4) (*.f64 1/2 (pow.f64 N -2)))))
(+.f64 (/.f64 1 N) (*.f64 (neg.f64 (fma.f64 1/4 (pow.f64 N -4) (*.f64 1/2 (pow.f64 N -2)))) 1))
(+.f64 (-.f64 (/.f64 1 N) (fma.f64 1/4 (pow.f64 N -4) (*.f64 1/2 (pow.f64 N -2)))) (fma.f64 (neg.f64 (fma.f64 1/4 (pow.f64 N -4) (*.f64 1/2 (pow.f64 N -2)))) 1 (fma.f64 1/4 (pow.f64 N -4) (*.f64 1/2 (pow.f64 N -2)))))
(+.f64 (-.f64 (/.f64 1 N) (fma.f64 1/4 (pow.f64 N -4) (*.f64 1/2 (pow.f64 N -2)))) (fma.f64 (neg.f64 (cbrt.f64 (fma.f64 1/4 (pow.f64 N -4) (*.f64 1/2 (pow.f64 N -2))))) (pow.f64 (cbrt.f64 (fma.f64 1/4 (pow.f64 N -4) (*.f64 1/2 (pow.f64 N -2)))) 2) (fma.f64 1/4 (pow.f64 N -4) (*.f64 1/2 (pow.f64 N -2)))))
(+.f64 (-.f64 (/.f64 1 N) (fma.f64 1/4 (pow.f64 N -4) (*.f64 1/2 (pow.f64 N -2)))) (fma.f64 (neg.f64 (hypot.f64 (*.f64 1/2 (pow.f64 N -2)) (/.f64 (sqrt.f64 1/2) N))) (hypot.f64 (*.f64 1/2 (pow.f64 N -2)) (/.f64 (sqrt.f64 1/2) N)) (fma.f64 1/4 (pow.f64 N -4) (*.f64 1/2 (pow.f64 N -2)))))
(+.f64 (neg.f64 (fma.f64 1/4 (pow.f64 N -4) (*.f64 1/2 (pow.f64 N -2)))) (/.f64 1 N))
(+.f64 (+.f64 (/.f64 1 N) (*.f64 -1/2 (pow.f64 N -2))) (neg.f64 (*.f64 1/4 (pow.f64 N -4))))
(+.f64 (+.f64 (/.f64 1 N) (*.f64 -1/2 (pow.f64 N -2))) (*.f64 -1/4 (pow.f64 N -4)))
(+.f64 (+.f64 (/.f64 1 N) (*.f64 -1/2 (pow.f64 N -2))) (*.f64 -1 (*.f64 1/4 (pow.f64 N -4))))
(+.f64 (+.f64 (/.f64 1 N) (*.f64 -1/2 (pow.f64 N -2))) (*.f64 (neg.f64 (cbrt.f64 (/.f64 1/16 (pow.f64 N 8)))) (cbrt.f64 (*.f64 1/4 (pow.f64 N -4)))))
(+.f64 (+.f64 (/.f64 1 N) (*.f64 -1/2 (pow.f64 N -2))) (*.f64 (neg.f64 (*.f64 1/2 (pow.f64 N -2))) (*.f64 1/2 (pow.f64 N -2))))
(*.f64 1 (-.f64 (/.f64 1 N) (fma.f64 1/4 (pow.f64 N -4) (*.f64 1/2 (pow.f64 N -2)))))
(*.f64 (-.f64 (/.f64 1 N) (fma.f64 1/4 (pow.f64 N -4) (*.f64 1/2 (pow.f64 N -2)))) 1)
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(/.f64 (*.f64 (cbrt.f64 (+.f64 N 1)) (cbrt.f64 (/.f64 (+.f64 N 1) N))) (cbrt.f64 N))
(sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 N 1) N)) 4))
(log.f64 (exp.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 N 1) N)) 2)))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 N 1) N)) 2))))
(cbrt.f64 (pow.f64 (/.f64 (+.f64 N 1) N) 2))
(expm1.f64 (log1p.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 N 1) N)) 2)))
(log1p.f64 (expm1.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 N 1) N)) 2)))
(exp.f64 (*.f64 2 (*.f64 1/3 (-.f64 (log1p.f64 N) (log.f64 N)))))

simplify507.0ms (5.7%)

Algorithm
egg-herbie
Rules
1624×fma-define
818×times-frac
582×associate-+r+
558×associate-+l+
444×cancel-sign-sub-inv
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0115427304
1283424334
Stop Event
node limit
Counts
580 → 763
Calls
Call 1
Inputs
(/.f64 -1/4 (pow.f64 N 4))
(neg.f64 (+.f64 (*.f64 1/2 (/.f64 1 (pow.f64 N 2))) (*.f64 1/4 (/.f64 1 (pow.f64 N 4)))))
(-.f64 (/.f64 1 N) (+.f64 (*.f64 1/2 (/.f64 1 (pow.f64 N 2))) (*.f64 1/4 (/.f64 1 (pow.f64 N 4)))))
(-.f64 (/.f64 1 N) (+.f64 (*.f64 1/2 (/.f64 1 (pow.f64 N 2))) (*.f64 1/4 (/.f64 1 (pow.f64 N 4)))))
(/.f64 1 N)
(-.f64 (/.f64 1 N) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (/.f64 1 N) (+.f64 (*.f64 1/4 (/.f64 1 (pow.f64 N 4))) (*.f64 1/2 (/.f64 1 (pow.f64 N 2)))))
(-.f64 (/.f64 1 N) (+.f64 (*.f64 1/4 (/.f64 1 (pow.f64 N 4))) (*.f64 1/2 (/.f64 1 (pow.f64 N 2)))))
(/.f64 1 N)
(-.f64 (/.f64 1 N) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (/.f64 1 N) (+.f64 (*.f64 1/4 (/.f64 1 (pow.f64 N 4))) (*.f64 1/2 (/.f64 1 (pow.f64 N 2)))))
(-.f64 (/.f64 1 N) (+.f64 (*.f64 1/4 (/.f64 1 (pow.f64 N 4))) (*.f64 1/2 (/.f64 1 (pow.f64 N 2)))))
(+.f64 (log.f64 (sqrt.f64 N)) (*.f64 -1 (log.f64 N)))
(+.f64 (log.f64 (sqrt.f64 N)) (+.f64 (*.f64 -1 (log.f64 N)) (*.f64 1/2 N)))
(+.f64 (log.f64 (sqrt.f64 N)) (+.f64 (*.f64 -1 (log.f64 N)) (+.f64 (*.f64 -1/4 (pow.f64 N 2)) (*.f64 1/2 N))))
(+.f64 (log.f64 (sqrt.f64 N)) (+.f64 (*.f64 -1 (log.f64 N)) (+.f64 (*.f64 -1/4 (pow.f64 N 2)) (+.f64 (*.f64 1/6 (pow.f64 N 3)) (*.f64 1/2 N)))))
(/.f64 1/2 N)
(-.f64 (*.f64 1/2 (/.f64 1 N)) (*.f64 1/4 (/.f64 1 (pow.f64 N 2))))
(-.f64 (+.f64 (*.f64 1/6 (/.f64 1 (pow.f64 N 3))) (*.f64 1/2 (/.f64 1 N))) (*.f64 1/4 (/.f64 1 (pow.f64 N 2))))
(-.f64 (+.f64 (*.f64 1/6 (/.f64 1 (pow.f64 N 3))) (*.f64 1/2 (/.f64 1 N))) (+.f64 (*.f64 1/8 (/.f64 1 (pow.f64 N 4))) (*.f64 1/4 (/.f64 1 (pow.f64 N 2)))))
(log.f64 (pow.f64 (sqrt.f64 -1) 2))
(-.f64 (log.f64 (pow.f64 (sqrt.f64 -1) 2)) (*.f64 1/2 (/.f64 1 (*.f64 N (pow.f64 (sqrt.f64 -1) 2)))))
(-.f64 (log.f64 (pow.f64 (sqrt.f64 -1) 2)) (+.f64 (*.f64 1/4 (/.f64 1 (*.f64 (pow.f64 N 2) (pow.f64 (sqrt.f64 -1) 4)))) (*.f64 1/2 (/.f64 1 (*.f64 N (pow.f64 (sqrt.f64 -1) 2))))))
(-.f64 (log.f64 (pow.f64 (sqrt.f64 -1) 2)) (+.f64 (*.f64 1/6 (/.f64 1 (*.f64 (pow.f64 N 3) (pow.f64 (sqrt.f64 -1) 6)))) (+.f64 (*.f64 1/4 (/.f64 1 (*.f64 (pow.f64 N 2) (pow.f64 (sqrt.f64 -1) 4)))) (*.f64 1/2 (/.f64 1 (*.f64 N (pow.f64 (sqrt.f64 -1) 2)))))))
(sqrt.f64 (/.f64 1 N))
(+.f64 (sqrt.f64 (/.f64 1 N)) (*.f64 1/2 (sqrt.f64 N)))
(+.f64 (sqrt.f64 (/.f64 1 N)) (+.f64 (*.f64 -1/8 (sqrt.f64 (pow.f64 N 3))) (*.f64 1/2 (sqrt.f64 N))))
(+.f64 (sqrt.f64 (/.f64 1 N)) (+.f64 (*.f64 -1/8 (sqrt.f64 (pow.f64 N 3))) (+.f64 (*.f64 1/16 (sqrt.f64 (pow.f64 N 5))) (*.f64 1/2 (sqrt.f64 N)))))
1
(+.f64 1 (*.f64 1/2 (/.f64 1 N)))
(-.f64 (+.f64 1 (*.f64 1/2 (/.f64 1 N))) (*.f64 1/8 (/.f64 1 (pow.f64 N 2))))
(-.f64 (+.f64 1 (+.f64 (*.f64 1/16 (/.f64 1 (pow.f64 N 3))) (*.f64 1/2 (/.f64 1 N)))) (*.f64 1/8 (/.f64 1 (pow.f64 N 2))))
(pow.f64 (sqrt.f64 -1) 2)
(-.f64 (pow.f64 (sqrt.f64 -1) 2) (*.f64 1/2 (/.f64 1 N)))
(-.f64 (pow.f64 (sqrt.f64 -1) 2) (+.f64 (*.f64 1/8 (/.f64 1 (*.f64 (pow.f64 N 2) (pow.f64 (sqrt.f64 -1) 2)))) (*.f64 1/2 (/.f64 1 N))))
(-.f64 (pow.f64 (sqrt.f64 -1) 2) (+.f64 (*.f64 1/16 (/.f64 1 (*.f64 (pow.f64 N 3) (pow.f64 (sqrt.f64 -1) 4)))) (+.f64 (*.f64 1/8 (/.f64 1 (*.f64 (pow.f64 N 2) (pow.f64 (sqrt.f64 -1) 2)))) (*.f64 1/2 (/.f64 1 N)))))
(/.f64 1 N)
(+.f64 1 (/.f64 1 N))
(+.f64 1 (/.f64 1 N))
(+.f64 1 (/.f64 1 N))
1
(+.f64 1 (/.f64 1 N))
(+.f64 1 (/.f64 1 N))
(+.f64 1 (/.f64 1 N))
1
(+.f64 1 (/.f64 1 N))
(+.f64 1 (/.f64 1 N))
(+.f64 1 (/.f64 1 N))
(*.f64 -1 (log.f64 N))
(+.f64 N (*.f64 -1 (log.f64 N)))
(+.f64 N (+.f64 (*.f64 -1 (log.f64 N)) (*.f64 -1/2 (pow.f64 N 2))))
(+.f64 N (+.f64 (*.f64 -1 (log.f64 N)) (+.f64 (*.f64 -1/2 (pow.f64 N 2)) (*.f64 1/3 (pow.f64 N 3)))))
(/.f64 1 N)
(-.f64 (/.f64 1 N) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 N 3))) (/.f64 1 N)) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 N 3))) (/.f64 1 N)) (+.f64 (*.f64 1/4 (/.f64 1 (pow.f64 N 4))) (*.f64 1/2 (/.f64 1 (pow.f64 N 2)))))
(/.f64 1 N)
(-.f64 (/.f64 1 N) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 N 3))) (/.f64 1 N)) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 N 3))) (/.f64 1 N)) (+.f64 (*.f64 1/4 (/.f64 1 (pow.f64 N 4))) (*.f64 1/2 (/.f64 1 (pow.f64 N 2)))))
(log.f64 (neg.f64 (log.f64 N)))
(+.f64 (log.f64 (neg.f64 (log.f64 N))) (*.f64 -1 (/.f64 N (log.f64 N))))
(+.f64 (log.f64 (neg.f64 (log.f64 N))) (+.f64 (*.f64 -1 (/.f64 N (log.f64 N))) (*.f64 1/2 (*.f64 (pow.f64 N 2) (-.f64 (/.f64 1 (log.f64 N)) (/.f64 1 (pow.f64 (log.f64 N) 2)))))))
(+.f64 (log.f64 (neg.f64 (log.f64 N))) (+.f64 (*.f64 -1 (/.f64 N (log.f64 N))) (+.f64 (*.f64 1/6 (*.f64 (pow.f64 N 3) (-.f64 (*.f64 3 (/.f64 1 (pow.f64 (log.f64 N) 2))) (+.f64 (*.f64 2 (/.f64 1 (log.f64 N))) (*.f64 2 (/.f64 1 (pow.f64 (log.f64 N) 3))))))) (*.f64 1/2 (*.f64 (pow.f64 N 2) (-.f64 (/.f64 1 (log.f64 N)) (/.f64 1 (pow.f64 (log.f64 N) 2))))))))
(log.f64 (/.f64 1 N))
(-.f64 (log.f64 (/.f64 1 N)) (*.f64 1/2 (/.f64 1 N)))
(-.f64 (+.f64 (log.f64 (/.f64 1 N)) (*.f64 5/24 (/.f64 1 (pow.f64 N 2)))) (*.f64 1/2 (/.f64 1 N)))
(-.f64 (+.f64 (log.f64 (/.f64 1 N)) (*.f64 5/24 (/.f64 1 (pow.f64 N 2)))) (+.f64 (*.f64 1/8 (/.f64 1 (pow.f64 N 3))) (*.f64 1/2 (/.f64 1 N))))
(+.f64 (log.f64 -1) (log.f64 (/.f64 -1 N)))
(-.f64 (+.f64 (log.f64 -1) (log.f64 (/.f64 -1 N))) (*.f64 1/2 (/.f64 1 N)))
(-.f64 (+.f64 (log.f64 -1) (+.f64 (log.f64 (/.f64 -1 N)) (*.f64 5/24 (/.f64 1 (pow.f64 N 2))))) (*.f64 1/2 (/.f64 1 N)))
(-.f64 (+.f64 (log.f64 -1) (+.f64 (log.f64 (/.f64 -1 N)) (*.f64 5/24 (/.f64 1 (pow.f64 N 2))))) (+.f64 (*.f64 1/8 (/.f64 1 (pow.f64 N 3))) (*.f64 1/2 (/.f64 1 N))))
(+.f64 (log.f64 (cbrt.f64 (pow.f64 N 2))) (*.f64 -1 (log.f64 N)))
(+.f64 (log.f64 (cbrt.f64 (pow.f64 N 2))) (+.f64 (*.f64 -1 (log.f64 N)) (*.f64 1/3 N)))
(+.f64 (log.f64 (cbrt.f64 (pow.f64 N 2))) (+.f64 (*.f64 -1 (log.f64 N)) (+.f64 (*.f64 -1/6 (pow.f64 N 2)) (*.f64 1/3 N))))
(+.f64 (log.f64 (cbrt.f64 (pow.f64 N 2))) (+.f64 (*.f64 -1 (log.f64 N)) (+.f64 (*.f64 -1/6 (pow.f64 N 2)) (+.f64 (*.f64 1/9 (pow.f64 N 3)) (*.f64 1/3 N)))))
(/.f64 1/3 N)
(-.f64 (*.f64 1/3 (/.f64 1 N)) (*.f64 1/6 (/.f64 1 (pow.f64 N 2))))
(-.f64 (+.f64 (*.f64 1/9 (/.f64 1 (pow.f64 N 3))) (*.f64 1/3 (/.f64 1 N))) (*.f64 1/6 (/.f64 1 (pow.f64 N 2))))
(-.f64 (+.f64 (*.f64 1/9 (/.f64 1 (pow.f64 N 3))) (*.f64 1/3 (/.f64 1 N))) (+.f64 (*.f64 1/12 (/.f64 1 (pow.f64 N 4))) (*.f64 1/6 (/.f64 1 (pow.f64 N 2)))))
(log.f64 (pow.f64 (cbrt.f64 -1) 2))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 -1) 2)) (*.f64 -1/3 (*.f64 (/.f64 1 N) (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 5))))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 -1) 2)) (+.f64 (*.f64 -1/3 (*.f64 (/.f64 1 N) (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 5))))) (*.f64 1/2 (/.f64 (+.f64 (*.f64 -2/9 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 10)))) (*.f64 -1/9 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 10))))) (pow.f64 N 2)))))
(-.f64 (+.f64 (log.f64 (pow.f64 (cbrt.f64 -1) 2)) (+.f64 (*.f64 -1/3 (*.f64 (/.f64 1 N) (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 5))))) (*.f64 1/2 (/.f64 (+.f64 (*.f64 -2/9 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 10)))) (*.f64 -1/9 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 10))))) (pow.f64 N 2))))) (*.f64 1/9 (/.f64 1 (*.f64 (pow.f64 N 3) (pow.f64 (cbrt.f64 -1) 5)))))
(+.f64 (log.f64 (cbrt.f64 (+.f64 N (*.f64 2 (pow.f64 N 2))))) (*.f64 -1 (log.f64 N)))
(+.f64 (log.f64 (cbrt.f64 (+.f64 N (*.f64 2 (pow.f64 N 2))))) (+.f64 (*.f64 -1 (log.f64 N)) (*.f64 1/3 (/.f64 (pow.f64 N 3) (+.f64 N (*.f64 2 (pow.f64 N 2)))))))
(+.f64 (log.f64 (cbrt.f64 (+.f64 N (*.f64 2 (pow.f64 N 2))))) (+.f64 (*.f64 -1 (log.f64 N)) (+.f64 (*.f64 -1/6 (/.f64 (pow.f64 N 6) (pow.f64 (+.f64 N (*.f64 2 (pow.f64 N 2))) 2))) (*.f64 1/3 (/.f64 (pow.f64 N 3) (+.f64 N (*.f64 2 (pow.f64 N 2))))))))
(+.f64 (log.f64 (cbrt.f64 (+.f64 N (*.f64 2 (pow.f64 N 2))))) (+.f64 (*.f64 -1 (log.f64 N)) (+.f64 (*.f64 -1/6 (/.f64 (pow.f64 N 6) (pow.f64 (+.f64 N (*.f64 2 (pow.f64 N 2))) 2))) (+.f64 (*.f64 1/9 (/.f64 (pow.f64 N 9) (pow.f64 (+.f64 N (*.f64 2 (pow.f64 N 2))) 3))) (*.f64 1/3 (/.f64 (pow.f64 N 3) (+.f64 N (*.f64 2 (pow.f64 N 2)))))))))
(/.f64 2/3 N)
(-.f64 (*.f64 2/3 (/.f64 1 N)) (*.f64 1/3 (/.f64 1 (pow.f64 N 2))))
(-.f64 (+.f64 (*.f64 2/9 (/.f64 1 (pow.f64 N 3))) (*.f64 2/3 (/.f64 1 N))) (*.f64 1/3 (/.f64 1 (pow.f64 N 2))))
(-.f64 (+.f64 (*.f64 2/9 (/.f64 1 (pow.f64 N 3))) (*.f64 2/3 (/.f64 1 N))) (+.f64 (*.f64 1/6 (/.f64 1 (pow.f64 N 4))) (*.f64 1/3 (/.f64 1 (pow.f64 N 2)))))
(log.f64 (pow.f64 (cbrt.f64 -1) 2))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 -1) 2)) (*.f64 2/3 (/.f64 1 N)))
(-.f64 (+.f64 (log.f64 (pow.f64 (cbrt.f64 -1) 2)) (*.f64 2/3 (/.f64 1 N))) (*.f64 1/3 (/.f64 1 (pow.f64 N 2))))
(-.f64 (+.f64 (log.f64 (pow.f64 (cbrt.f64 -1) 2)) (+.f64 (*.f64 2/9 (/.f64 1 (pow.f64 N 3))) (*.f64 2/3 (/.f64 1 N)))) (*.f64 1/3 (/.f64 1 (pow.f64 N 2))))
(+.f64 (log.f64 (cbrt.f64 (+.f64 N (*.f64 2 (pow.f64 N 2))))) (+.f64 (log.f64 (cbrt.f64 (pow.f64 N 2))) (*.f64 -2 (log.f64 N))))
(+.f64 (log.f64 (cbrt.f64 (+.f64 N (*.f64 2 (pow.f64 N 2))))) (+.f64 (log.f64 (cbrt.f64 (pow.f64 N 2))) (+.f64 (*.f64 -2 (log.f64 N)) (*.f64 (pow.f64 N 3) (+.f64 (*.f64 1/3 (/.f64 1 (+.f64 N (*.f64 2 (pow.f64 N 2))))) (*.f64 1/3 (/.f64 1 (pow.f64 N 2))))))))
(+.f64 (log.f64 (cbrt.f64 (+.f64 N (*.f64 2 (pow.f64 N 2))))) (+.f64 (log.f64 (cbrt.f64 (pow.f64 N 2))) (+.f64 (*.f64 -2 (log.f64 N)) (+.f64 (*.f64 -1 (*.f64 (pow.f64 N 6) (+.f64 (*.f64 1/6 (/.f64 1 (pow.f64 N 4))) (*.f64 1/6 (/.f64 1 (pow.f64 (+.f64 N (*.f64 2 (pow.f64 N 2))) 2)))))) (*.f64 (pow.f64 N 3) (+.f64 (*.f64 1/3 (/.f64 1 (+.f64 N (*.f64 2 (pow.f64 N 2))))) (*.f64 1/3 (/.f64 1 (pow.f64 N 2)))))))))
(+.f64 (log.f64 (cbrt.f64 (+.f64 N (*.f64 2 (pow.f64 N 2))))) (+.f64 (log.f64 (cbrt.f64 (pow.f64 N 2))) (+.f64 (*.f64 -2 (log.f64 N)) (+.f64 (*.f64 -1 (*.f64 (pow.f64 N 6) (+.f64 (*.f64 1/6 (/.f64 1 (pow.f64 N 4))) (*.f64 1/6 (/.f64 1 (pow.f64 (+.f64 N (*.f64 2 (pow.f64 N 2))) 2)))))) (+.f64 (*.f64 (pow.f64 N 3) (+.f64 (*.f64 1/3 (/.f64 1 (+.f64 N (*.f64 2 (pow.f64 N 2))))) (*.f64 1/3 (/.f64 1 (pow.f64 N 2))))) (*.f64 (pow.f64 N 9) (+.f64 (*.f64 1/9 (/.f64 1 (pow.f64 N 6))) (*.f64 1/9 (/.f64 1 (pow.f64 (+.f64 N (*.f64 2 (pow.f64 N 2))) 3))))))))))
(/.f64 1 N)
(-.f64 (/.f64 1 N) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 N 3))) (/.f64 1 N)) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 N 3))) (/.f64 1 N)) (+.f64 (*.f64 1/4 (/.f64 1 (pow.f64 N 4))) (*.f64 1/2 (/.f64 1 (pow.f64 N 2)))))
(*.f64 2 (log.f64 (pow.f64 (cbrt.f64 -1) 2)))
(+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 1/3 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 5)))) 2/3) N)) (*.f64 2 (log.f64 (pow.f64 (cbrt.f64 -1) 2))))
(-.f64 (+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 1/3 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 5)))) 2/3) N)) (+.f64 (*.f64 1/2 (/.f64 (+.f64 (*.f64 -2/9 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 10)))) (*.f64 -1/9 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 10))))) (pow.f64 N 2))) (*.f64 2 (log.f64 (pow.f64 (cbrt.f64 -1) 2))))) (*.f64 1/3 (/.f64 1 (pow.f64 N 2))))
(-.f64 (+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 1/9 (/.f64 1 (pow.f64 (cbrt.f64 -1) 5))) 2/9) (pow.f64 N 3))) (+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 1/3 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 5)))) 2/3) N)) (+.f64 (*.f64 1/2 (/.f64 (+.f64 (*.f64 -2/9 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 10)))) (*.f64 -1/9 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 10))))) (pow.f64 N 2))) (*.f64 2 (log.f64 (pow.f64 (cbrt.f64 -1) 2)))))) (*.f64 1/3 (/.f64 1 (pow.f64 N 2))))
(*.f64 (/.f64 1 N) (cbrt.f64 (+.f64 N (*.f64 2 (pow.f64 N 2)))))
(+.f64 (*.f64 1/3 (*.f64 (pow.f64 N 2) (cbrt.f64 (/.f64 1 (pow.f64 (+.f64 N (*.f64 2 (pow.f64 N 2))) 2))))) (*.f64 (/.f64 1 N) (cbrt.f64 (+.f64 N (*.f64 2 (pow.f64 N 2))))))
(+.f64 (*.f64 -1/9 (*.f64 (pow.f64 N 5) (cbrt.f64 (/.f64 1 (pow.f64 (+.f64 N (*.f64 2 (pow.f64 N 2))) 5))))) (+.f64 (*.f64 1/3 (*.f64 (pow.f64 N 2) (cbrt.f64 (/.f64 1 (pow.f64 (+.f64 N (*.f64 2 (pow.f64 N 2))) 2))))) (*.f64 (/.f64 1 N) (cbrt.f64 (+.f64 N (*.f64 2 (pow.f64 N 2)))))))
(+.f64 (*.f64 -1/9 (*.f64 (pow.f64 N 5) (cbrt.f64 (/.f64 1 (pow.f64 (+.f64 N (*.f64 2 (pow.f64 N 2))) 5))))) (+.f64 (*.f64 5/81 (*.f64 (pow.f64 N 8) (cbrt.f64 (/.f64 1 (pow.f64 (+.f64 N (*.f64 2 (pow.f64 N 2))) 8))))) (+.f64 (*.f64 1/3 (*.f64 (pow.f64 N 2) (cbrt.f64 (/.f64 1 (pow.f64 (+.f64 N (*.f64 2 (pow.f64 N 2))) 2))))) (*.f64 (/.f64 1 N) (cbrt.f64 (+.f64 N (*.f64 2 (pow.f64 N 2))))))))
1
(+.f64 1 (*.f64 2/3 (/.f64 1 N)))
(-.f64 (+.f64 1 (*.f64 2/3 (/.f64 1 N))) (*.f64 1/9 (/.f64 1 (pow.f64 N 2))))
(-.f64 (+.f64 1 (+.f64 (*.f64 4/81 (/.f64 1 (pow.f64 N 3))) (*.f64 2/3 (/.f64 1 N)))) (*.f64 1/9 (/.f64 1 (pow.f64 N 2))))
(pow.f64 (cbrt.f64 -1) 2)
(+.f64 (*.f64 2/3 (/.f64 (pow.f64 (cbrt.f64 -1) 2) N)) (pow.f64 (cbrt.f64 -1) 2))
(+.f64 (*.f64 -1/9 (/.f64 (pow.f64 (cbrt.f64 -1) 2) (pow.f64 N 2))) (+.f64 (*.f64 2/3 (/.f64 (pow.f64 (cbrt.f64 -1) 2) N)) (pow.f64 (cbrt.f64 -1) 2)))
(+.f64 (*.f64 -1/9 (/.f64 (pow.f64 (cbrt.f64 -1) 2) (pow.f64 N 2))) (+.f64 (*.f64 4/81 (/.f64 (pow.f64 (cbrt.f64 -1) 2) (pow.f64 N 3))) (+.f64 (*.f64 2/3 (/.f64 (pow.f64 (cbrt.f64 -1) 2) N)) (pow.f64 (cbrt.f64 -1) 2))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 1/3 (pow.f64 N -3)))) 1)
(*.f64 1/3 (pow.f64 N -3))
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(/.f64 1 (/.f64 (-.f64 (+.f64 (pow.f64 (*.f64 2 (*.f64 1/3 (-.f64 (log1p.f64 N) (log.f64 N)))) 2) (pow.f64 (*.f64 1/3 (-.f64 (log1p.f64 N) (log.f64 N))) 2)) (*.f64 2 (pow.f64 (*.f64 1/3 (-.f64 (log1p.f64 N) (log.f64 N))) 2))) (+.f64 (*.f64 8 (pow.f64 (*.f64 1/3 (-.f64 (log1p.f64 N) (log.f64 N))) 3)) (pow.f64 (*.f64 1/3 (-.f64 (log1p.f64 N) (log.f64 N))) 3))))
(/.f64 1 (/.f64 (*.f64 1/3 (-.f64 (log1p.f64 N) (log.f64 N))) (*.f64 (-.f64 (log1p.f64 N) (log.f64 N)) (*.f64 1/3 (-.f64 (log1p.f64 N) (log.f64 N))))))
(/.f64 (+.f64 (*.f64 8 (pow.f64 (*.f64 1/3 (-.f64 (log1p.f64 N) (log.f64 N))) 3)) (pow.f64 (*.f64 1/3 (-.f64 (log1p.f64 N) (log.f64 N))) 3)) (-.f64 (+.f64 (pow.f64 (*.f64 2 (*.f64 1/3 (-.f64 (log1p.f64 N) (log.f64 N)))) 2) (pow.f64 (*.f64 1/3 (-.f64 (log1p.f64 N) (log.f64 N))) 2)) (*.f64 2 (pow.f64 (*.f64 1/3 (-.f64 (log1p.f64 N) (log.f64 N))) 2))))
(/.f64 (+.f64 (*.f64 8 (pow.f64 (*.f64 1/3 (-.f64 (log1p.f64 N) (log.f64 N))) 3)) (pow.f64 (*.f64 1/3 (-.f64 (log1p.f64 N) (log.f64 N))) 3)) (+.f64 (pow.f64 (*.f64 1/3 (-.f64 (log1p.f64 N) (log.f64 N))) 2) (-.f64 (pow.f64 (*.f64 2 (*.f64 1/3 (-.f64 (log1p.f64 N) (log.f64 N)))) 2) (*.f64 2 (pow.f64 (*.f64 1/3 (-.f64 (log1p.f64 N) (log.f64 N))) 2)))))
(/.f64 (-.f64 (pow.f64 (log1p.f64 N) 3) (pow.f64 (log.f64 N) 3)) (+.f64 (pow.f64 (log1p.f64 N) 2) (*.f64 (log.f64 N) (+.f64 (log1p.f64 N) (log.f64 N)))))
(/.f64 (*.f64 (-.f64 (log1p.f64 N) (log.f64 N)) (*.f64 1/3 (-.f64 (log1p.f64 N) (log.f64 N)))) (*.f64 1/3 (-.f64 (log1p.f64 N) (log.f64 N))))
(/.f64 (-.f64 (pow.f64 (log1p.f64 N) 2) (pow.f64 (log.f64 N) 2)) (+.f64 (log1p.f64 N) (log.f64 N)))
(/.f64 (neg.f64 (-.f64 (pow.f64 (log1p.f64 N) 3) (pow.f64 (log.f64 N) 3))) (neg.f64 (+.f64 (pow.f64 (log1p.f64 N) 2) (*.f64 (log.f64 N) (+.f64 (log1p.f64 N) (log.f64 N))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (log1p.f64 N) 2) (pow.f64 (log.f64 N) 2))) (neg.f64 (+.f64 (log1p.f64 N) (log.f64 N))))
(/.f64 (neg.f64 (+.f64 (*.f64 8 (pow.f64 (*.f64 1/3 (-.f64 (log1p.f64 N) (log.f64 N))) 3)) (pow.f64 (*.f64 1/3 (-.f64 (log1p.f64 N) (log.f64 N))) 3))) (neg.f64 (-.f64 (+.f64 (pow.f64 (*.f64 2 (*.f64 1/3 (-.f64 (log1p.f64 N) (log.f64 N)))) 2) (pow.f64 (*.f64 1/3 (-.f64 (log1p.f64 N) (log.f64 N))) 2)) (*.f64 2 (pow.f64 (*.f64 1/3 (-.f64 (log1p.f64 N) (log.f64 N))) 2)))))
(/.f64 (neg.f64 (*.f64 (-.f64 (log1p.f64 N) (log.f64 N)) (*.f64 1/3 (-.f64 (log1p.f64 N) (log.f64 N))))) (neg.f64 (*.f64 1/3 (-.f64 (log1p.f64 N) (log.f64 N)))))
(/.f64 (+.f64 (pow.f64 (log1p.f64 N) 3) (pow.f64 (neg.f64 (log.f64 N)) 3)) (+.f64 (pow.f64 (log1p.f64 N) 2) (-.f64 (*.f64 (neg.f64 (log.f64 N)) (neg.f64 (log.f64 N))) (*.f64 (log1p.f64 N) (neg.f64 (log.f64 N))))))
(/.f64 (-.f64 (pow.f64 (log1p.f64 N) 2) (*.f64 (neg.f64 (log.f64 N)) (neg.f64 (log.f64 N)))) (-.f64 (log1p.f64 N) (neg.f64 (log.f64 N))))
(/.f64 (-.f64 (pow.f64 (*.f64 1/3 (-.f64 (log1p.f64 N) (log.f64 N))) 2) (pow.f64 (*.f64 2 (*.f64 1/3 (-.f64 (log1p.f64 N) (log.f64 N)))) 2)) (-.f64 (*.f64 1/3 (-.f64 (log1p.f64 N) (log.f64 N))) (*.f64 2 (*.f64 1/3 (-.f64 (log1p.f64 N) (log.f64 N))))))
(pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 1)
(pow.f64 (cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))) 3)
(pow.f64 (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 3) 1/3)
(pow.f64 (sqrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))) 2)
(pow.f64 (exp.f64 1) (log.f64 (-.f64 (log1p.f64 N) (log.f64 N))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (-.f64 (log1p.f64 N) (log.f64 N)))) 2)) (cbrt.f64 (log.f64 (-.f64 (log1p.f64 N) (log.f64 N)))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (-.f64 (log1p.f64 N) (log.f64 N))))) (sqrt.f64 (log.f64 (-.f64 (log1p.f64 N) (log.f64 N)))))
(neg.f64 (log.f64 (/.f64 N (+.f64 N 1))))
(sqrt.f64 (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 2))
(log.f64 (/.f64 (+.f64 N 1) N))
(log.f64 (+.f64 1 (-.f64 (/.f64 (+.f64 N 1) N) 1)))
(cbrt.f64 (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 3))
(expm1.f64 (log1p.f64 (-.f64 (log1p.f64 N) (log.f64 N))))
(log1p.f64 (-.f64 (/.f64 (+.f64 N 1) N) 1))
(exp.f64 (log.f64 (-.f64 (log1p.f64 N) (log.f64 N))))
(fma.f64 2 (*.f64 1/3 (-.f64 (log1p.f64 N) (log.f64 N))) (*.f64 1/3 (-.f64 (log1p.f64 N) (log.f64 N))))
(fma.f64 1 (log1p.f64 N) (neg.f64 (log.f64 N)))
(fma.f64 1 (*.f64 1/3 (-.f64 (log1p.f64 N) (log.f64 N))) (*.f64 2 (*.f64 1/3 (-.f64 (log1p.f64 N) (log.f64 N)))))
(fma.f64 1 (*.f64 2 (*.f64 1/3 (-.f64 (log1p.f64 N) (log.f64 N)))) (*.f64 1/3 (-.f64 (log1p.f64 N) (log.f64 N))))
(fma.f64 (pow.f64 (cbrt.f64 (log1p.f64 N)) 2) (cbrt.f64 (log1p.f64 N)) (neg.f64 (log.f64 N)))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 1/3 (-.f64 (log1p.f64 N) (log.f64 N)))) 2) (cbrt.f64 (*.f64 1/3 (-.f64 (log1p.f64 N) (log.f64 N)))) (*.f64 2 (*.f64 1/3 (-.f64 (log1p.f64 N) (log.f64 N)))))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 2 (*.f64 1/3 (-.f64 (log1p.f64 N) (log.f64 N))))) 2) (cbrt.f64 (*.f64 2 (*.f64 1/3 (-.f64 (log1p.f64 N) (log.f64 N))))) (*.f64 1/3 (-.f64 (log1p.f64 N) (log.f64 N))))
(fma.f64 (sqrt.f64 (log1p.f64 N)) (sqrt.f64 (log1p.f64 N)) (neg.f64 (log.f64 N)))
(fma.f64 (sqrt.f64 (*.f64 1/3 (-.f64 (log1p.f64 N) (log.f64 N)))) (sqrt.f64 (*.f64 1/3 (-.f64 (log1p.f64 N) (log.f64 N)))) (*.f64 2 (*.f64 1/3 (-.f64 (log1p.f64 N) (log.f64 N)))))
(fma.f64 (sqrt.f64 (*.f64 2 (*.f64 1/3 (-.f64 (log1p.f64 N) (log.f64 N))))) (sqrt.f64 (*.f64 2 (*.f64 1/3 (-.f64 (log1p.f64 N) (log.f64 N))))) (*.f64 1/3 (-.f64 (log1p.f64 N) (log.f64 N))))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 N 1) N)) 2))) 1)
(*.f64 1 (pow.f64 (cbrt.f64 (/.f64 (+.f64 N 1) N)) 2))
(*.f64 (sqrt.f64 (/.f64 (+.f64 N 1) N)) (pow.f64 (/.f64 (+.f64 N 1) N) 1/6))
(*.f64 (cbrt.f64 (/.f64 (+.f64 N 1) N)) (cbrt.f64 (/.f64 (+.f64 N 1) N)))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 N 1) N)) 2) 1)
(*.f64 (pow.f64 (/.f64 (+.f64 N 1) N) 1/6) (sqrt.f64 (/.f64 (+.f64 N 1) N)))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 (+.f64 N 1) N))) 2) (cbrt.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 N 1) N)) 4)))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 (+.f64 N 1) N))) 2) (*.f64 (cbrt.f64 (cbrt.f64 (/.f64 (+.f64 N 1) N))) (cbrt.f64 (/.f64 (+.f64 N 1) N))))
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 N 1) N)) 4)) (pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 (+.f64 N 1) N))) 2))
(*.f64 (*.f64 (cbrt.f64 (/.f64 (+.f64 N 1) N)) (pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 (+.f64 N 1) N))) 2)) (cbrt.f64 (cbrt.f64 (/.f64 (+.f64 N 1) N))))
(/.f64 (pow.f64 (cbrt.f64 (+.f64 N 1)) 2) (pow.f64 (cbrt.f64 N) 2))
(/.f64 (*.f64 (cbrt.f64 (/.f64 (+.f64 N 1) N)) (cbrt.f64 (+.f64 N 1))) (cbrt.f64 N))
(/.f64 (*.f64 (cbrt.f64 (+.f64 N 1)) (cbrt.f64 (/.f64 (+.f64 N 1) N))) (cbrt.f64 N))
(sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 N 1) N)) 4))
(log.f64 (exp.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 N 1) N)) 2)))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 N 1) N)) 2))))
(cbrt.f64 (pow.f64 (/.f64 (+.f64 N 1) N) 2))
(expm1.f64 (log1p.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 N 1) N)) 2)))
(log1p.f64 (expm1.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 N 1) N)) 2)))
(exp.f64 (*.f64 2 (*.f64 1/3 (-.f64 (log1p.f64 N) (log.f64 N)))))
Outputs
(/.f64 -1/4 (pow.f64 N 4))
(neg.f64 (+.f64 (*.f64 1/2 (/.f64 1 (pow.f64 N 2))) (*.f64 1/4 (/.f64 1 (pow.f64 N 4)))))
(neg.f64 (+.f64 (/.f64 1/2 (pow.f64 N 2)) (/.f64 1/4 (pow.f64 N 4))))
(+.f64 (/.f64 -1/4 (pow.f64 N 4)) (/.f64 -1/2 (pow.f64 N 2)))
(-.f64 (/.f64 1 N) (+.f64 (*.f64 1/2 (/.f64 1 (pow.f64 N 2))) (*.f64 1/4 (/.f64 1 (pow.f64 N 4)))))
(-.f64 (/.f64 1 N) (+.f64 (/.f64 1/2 (pow.f64 N 2)) (/.f64 1/4 (pow.f64 N 4))))
(+.f64 (/.f64 1 N) (+.f64 (/.f64 -1/4 (pow.f64 N 4)) (/.f64 -1/2 (pow.f64 N 2))))
(-.f64 (/.f64 1 N) (+.f64 (*.f64 1/2 (/.f64 1 (pow.f64 N 2))) (*.f64 1/4 (/.f64 1 (pow.f64 N 4)))))
(-.f64 (/.f64 1 N) (+.f64 (/.f64 1/2 (pow.f64 N 2)) (/.f64 1/4 (pow.f64 N 4))))
(+.f64 (/.f64 1 N) (+.f64 (/.f64 -1/4 (pow.f64 N 4)) (/.f64 -1/2 (pow.f64 N 2))))
(/.f64 1 N)
(-.f64 (/.f64 1 N) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (/.f64 1 N) (/.f64 1/2 (pow.f64 N 2)))
(-.f64 (/.f64 1 N) (+.f64 (*.f64 1/4 (/.f64 1 (pow.f64 N 4))) (*.f64 1/2 (/.f64 1 (pow.f64 N 2)))))
(-.f64 (/.f64 1 N) (+.f64 (/.f64 1/2 (pow.f64 N 2)) (/.f64 1/4 (pow.f64 N 4))))
(+.f64 (/.f64 1 N) (+.f64 (/.f64 -1/4 (pow.f64 N 4)) (/.f64 -1/2 (pow.f64 N 2))))
(-.f64 (/.f64 1 N) (+.f64 (*.f64 1/4 (/.f64 1 (pow.f64 N 4))) (*.f64 1/2 (/.f64 1 (pow.f64 N 2)))))
(-.f64 (/.f64 1 N) (+.f64 (/.f64 1/2 (pow.f64 N 2)) (/.f64 1/4 (pow.f64 N 4))))
(+.f64 (/.f64 1 N) (+.f64 (/.f64 -1/4 (pow.f64 N 4)) (/.f64 -1/2 (pow.f64 N 2))))
(/.f64 1 N)
(-.f64 (/.f64 1 N) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (/.f64 1 N) (/.f64 1/2 (pow.f64 N 2)))
(-.f64 (/.f64 1 N) (+.f64 (*.f64 1/4 (/.f64 1 (pow.f64 N 4))) (*.f64 1/2 (/.f64 1 (pow.f64 N 2)))))
(-.f64 (/.f64 1 N) (+.f64 (/.f64 1/2 (pow.f64 N 2)) (/.f64 1/4 (pow.f64 N 4))))
(+.f64 (/.f64 1 N) (+.f64 (/.f64 -1/4 (pow.f64 N 4)) (/.f64 -1/2 (pow.f64 N 2))))
(-.f64 (/.f64 1 N) (+.f64 (*.f64 1/4 (/.f64 1 (pow.f64 N 4))) (*.f64 1/2 (/.f64 1 (pow.f64 N 2)))))
(-.f64 (/.f64 1 N) (+.f64 (/.f64 1/2 (pow.f64 N 2)) (/.f64 1/4 (pow.f64 N 4))))
(+.f64 (/.f64 1 N) (+.f64 (/.f64 -1/4 (pow.f64 N 4)) (/.f64 -1/2 (pow.f64 N 2))))
(+.f64 (log.f64 (sqrt.f64 N)) (*.f64 -1 (log.f64 N)))
(+.f64 (log.f64 (sqrt.f64 N)) (neg.f64 (log.f64 N)))
(-.f64 (log.f64 (sqrt.f64 N)) (log.f64 N))
(+.f64 (log.f64 (sqrt.f64 N)) (+.f64 (*.f64 -1 (log.f64 N)) (*.f64 1/2 N)))
(+.f64 (log.f64 (sqrt.f64 N)) (fma.f64 -1 (log.f64 N) (*.f64 N 1/2)))
(+.f64 (log.f64 (sqrt.f64 N)) (-.f64 (*.f64 N 1/2) (log.f64 N)))
(+.f64 (log.f64 (sqrt.f64 N)) (+.f64 (*.f64 -1 (log.f64 N)) (+.f64 (*.f64 -1/4 (pow.f64 N 2)) (*.f64 1/2 N))))
(+.f64 (log.f64 (sqrt.f64 N)) (fma.f64 -1 (log.f64 N) (fma.f64 -1/4 (pow.f64 N 2) (*.f64 N 1/2))))
(+.f64 (log.f64 (sqrt.f64 N)) (-.f64 (fma.f64 -1/4 (pow.f64 N 2) (*.f64 N 1/2)) (log.f64 N)))
(+.f64 (log.f64 (sqrt.f64 N)) (+.f64 (*.f64 -1 (log.f64 N)) (+.f64 (*.f64 -1/4 (pow.f64 N 2)) (+.f64 (*.f64 1/6 (pow.f64 N 3)) (*.f64 1/2 N)))))
(+.f64 (log.f64 (sqrt.f64 N)) (fma.f64 -1 (log.f64 N) (fma.f64 -1/4 (pow.f64 N 2) (fma.f64 1/6 (pow.f64 N 3) (*.f64 N 1/2)))))
(+.f64 (log.f64 (sqrt.f64 N)) (-.f64 (fma.f64 -1/4 (pow.f64 N 2) (fma.f64 1/6 (pow.f64 N 3) (*.f64 N 1/2))) (log.f64 N)))
(/.f64 1/2 N)
(-.f64 (*.f64 1/2 (/.f64 1 N)) (*.f64 1/4 (/.f64 1 (pow.f64 N 2))))
(-.f64 (/.f64 1/2 N) (/.f64 1/4 (pow.f64 N 2)))
(+.f64 (/.f64 1/2 N) (/.f64 -1/4 (pow.f64 N 2)))
(-.f64 (+.f64 (*.f64 1/6 (/.f64 1 (pow.f64 N 3))) (*.f64 1/2 (/.f64 1 N))) (*.f64 1/4 (/.f64 1 (pow.f64 N 2))))
(+.f64 (/.f64 1/6 (pow.f64 N 3)) (-.f64 (/.f64 1/2 N) (/.f64 1/4 (pow.f64 N 2))))
(+.f64 (/.f64 1/2 N) (+.f64 (/.f64 1/6 (pow.f64 N 3)) (/.f64 -1/4 (pow.f64 N 2))))
(-.f64 (+.f64 (*.f64 1/6 (/.f64 1 (pow.f64 N 3))) (*.f64 1/2 (/.f64 1 N))) (+.f64 (*.f64 1/8 (/.f64 1 (pow.f64 N 4))) (*.f64 1/4 (/.f64 1 (pow.f64 N 2)))))
(-.f64 (+.f64 (/.f64 1/2 N) (/.f64 1/6 (pow.f64 N 3))) (+.f64 (/.f64 1/4 (pow.f64 N 2)) (/.f64 1/8 (pow.f64 N 4))))
(+.f64 (/.f64 1/6 (pow.f64 N 3)) (-.f64 (/.f64 1/2 N) (+.f64 (/.f64 1/4 (pow.f64 N 2)) (/.f64 1/8 (pow.f64 N 4)))))
(log.f64 (pow.f64 (sqrt.f64 -1) 2))
(log.f64 -1)
(-.f64 (log.f64 (pow.f64 (sqrt.f64 -1) 2)) (*.f64 1/2 (/.f64 1 (*.f64 N (pow.f64 (sqrt.f64 -1) 2)))))
(-.f64 (log.f64 (pow.f64 (sqrt.f64 -1) 2)) (/.f64 1/2 (*.f64 N (pow.f64 (sqrt.f64 -1) 2))))
(+.f64 (log.f64 -1) (/.f64 1/2 N))
(-.f64 (log.f64 (pow.f64 (sqrt.f64 -1) 2)) (+.f64 (*.f64 1/4 (/.f64 1 (*.f64 (pow.f64 N 2) (pow.f64 (sqrt.f64 -1) 4)))) (*.f64 1/2 (/.f64 1 (*.f64 N (pow.f64 (sqrt.f64 -1) 2))))))
(-.f64 (log.f64 (pow.f64 (sqrt.f64 -1) 2)) (+.f64 (/.f64 1/2 (*.f64 N (pow.f64 (sqrt.f64 -1) 2))) (/.f64 1/4 (*.f64 (pow.f64 N 2) (pow.f64 (sqrt.f64 -1) 4)))))
(+.f64 (-.f64 (log.f64 -1) (/.f64 1/4 (*.f64 (pow.f64 N 2) (pow.f64 (sqrt.f64 -1) 4)))) (/.f64 1/2 N))
(-.f64 (log.f64 (pow.f64 (sqrt.f64 -1) 2)) (+.f64 (*.f64 1/6 (/.f64 1 (*.f64 (pow.f64 N 3) (pow.f64 (sqrt.f64 -1) 6)))) (+.f64 (*.f64 1/4 (/.f64 1 (*.f64 (pow.f64 N 2) (pow.f64 (sqrt.f64 -1) 4)))) (*.f64 1/2 (/.f64 1 (*.f64 N (pow.f64 (sqrt.f64 -1) 2)))))))
(-.f64 (log.f64 (pow.f64 (sqrt.f64 -1) 2)) (+.f64 (+.f64 (/.f64 1/2 (*.f64 N (pow.f64 (sqrt.f64 -1) 2))) (/.f64 1/4 (*.f64 (pow.f64 N 2) (pow.f64 (sqrt.f64 -1) 4)))) (/.f64 1/6 (*.f64 (pow.f64 N 3) (pow.f64 (sqrt.f64 -1) 6)))))
(-.f64 (-.f64 (log.f64 -1) (/.f64 1/6 (*.f64 (pow.f64 N 3) (pow.f64 (sqrt.f64 -1) 6)))) (+.f64 (/.f64 1/4 (*.f64 (pow.f64 N 2) (pow.f64 (sqrt.f64 -1) 4))) (/.f64 -1/2 N)))
(sqrt.f64 (/.f64 1 N))
(+.f64 (sqrt.f64 (/.f64 1 N)) (*.f64 1/2 (sqrt.f64 N)))
(fma.f64 1/2 (sqrt.f64 N) (sqrt.f64 (/.f64 1 N)))
(+.f64 (sqrt.f64 (/.f64 1 N)) (+.f64 (*.f64 -1/8 (sqrt.f64 (pow.f64 N 3))) (*.f64 1/2 (sqrt.f64 N))))
(+.f64 (sqrt.f64 (/.f64 1 N)) (fma.f64 -1/8 (sqrt.f64 (pow.f64 N 3)) (*.f64 1/2 (sqrt.f64 N))))
(+.f64 (sqrt.f64 (/.f64 1 N)) (+.f64 (*.f64 -1/8 (sqrt.f64 (pow.f64 N 3))) (+.f64 (*.f64 1/16 (sqrt.f64 (pow.f64 N 5))) (*.f64 1/2 (sqrt.f64 N)))))
(+.f64 (sqrt.f64 (/.f64 1 N)) (fma.f64 -1/8 (sqrt.f64 (pow.f64 N 3)) (fma.f64 1/16 (sqrt.f64 (pow.f64 N 5)) (*.f64 1/2 (sqrt.f64 N)))))
(+.f64 (fma.f64 -1/8 (sqrt.f64 (pow.f64 N 3)) (*.f64 1/16 (sqrt.f64 (pow.f64 N 5)))) (fma.f64 1/2 (sqrt.f64 N) (sqrt.f64 (/.f64 1 N))))
1
(+.f64 1 (*.f64 1/2 (/.f64 1 N)))
(+.f64 1 (/.f64 1/2 N))
(-.f64 (+.f64 1 (*.f64 1/2 (/.f64 1 N))) (*.f64 1/8 (/.f64 1 (pow.f64 N 2))))
(+.f64 1 (-.f64 (/.f64 1/2 N) (/.f64 1/8 (pow.f64 N 2))))
(+.f64 1 (+.f64 (/.f64 1/2 N) (/.f64 -1/8 (pow.f64 N 2))))
(-.f64 (+.f64 1 (+.f64 (*.f64 1/16 (/.f64 1 (pow.f64 N 3))) (*.f64 1/2 (/.f64 1 N)))) (*.f64 1/8 (/.f64 1 (pow.f64 N 2))))
(+.f64 1 (-.f64 (+.f64 (/.f64 1/2 N) (/.f64 1/16 (pow.f64 N 3))) (/.f64 1/8 (pow.f64 N 2))))
(+.f64 1 (+.f64 (+.f64 (/.f64 1/2 N) (/.f64 1/16 (pow.f64 N 3))) (/.f64 -1/8 (pow.f64 N 2))))
(pow.f64 (sqrt.f64 -1) 2)
-1
(-.f64 (pow.f64 (sqrt.f64 -1) 2) (*.f64 1/2 (/.f64 1 N)))
(-.f64 (pow.f64 (sqrt.f64 -1) 2) (/.f64 1/2 N))
(+.f64 -1 (/.f64 -1/2 N))
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(log1p.f64 (+.f64 (/.f64 (+.f64 N 1) N) -1))
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(-.f64 (log1p.f64 N) (log.f64 N))
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(-.f64 (log1p.f64 N) (log.f64 N))
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(-.f64 (log1p.f64 N) (log.f64 N))
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(*.f64 (sqrt.f64 (/.f64 (+.f64 N 1) N)) (pow.f64 (/.f64 (+.f64 N 1) N) 1/6))
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(*.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 N 1) N)) 2) 1)
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(*.f64 (pow.f64 (/.f64 (+.f64 N 1) N) 1/6) (sqrt.f64 (/.f64 (+.f64 N 1) N)))
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(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 (+.f64 N 1) N))) 2) (cbrt.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 N 1) N)) 4)))
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(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 (+.f64 N 1) N))) 2) (*.f64 (cbrt.f64 (cbrt.f64 (/.f64 (+.f64 N 1) N))) (cbrt.f64 (/.f64 (+.f64 N 1) N))))
(pow.f64 (cbrt.f64 (/.f64 (+.f64 N 1) N)) 2)
(pow.f64 (cbrt.f64 (+.f64 1 (/.f64 1 N))) 2)
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 N 1) N)) 4)) (pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 (+.f64 N 1) N))) 2))
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(/.f64 (pow.f64 (cbrt.f64 (+.f64 N 1)) 2) (pow.f64 (cbrt.f64 N) 2))
(/.f64 (*.f64 (cbrt.f64 (/.f64 (+.f64 N 1) N)) (cbrt.f64 (+.f64 N 1))) (cbrt.f64 N))
(*.f64 (cbrt.f64 (/.f64 (+.f64 N 1) N)) (/.f64 (cbrt.f64 (+.f64 N 1)) (cbrt.f64 N)))
(*.f64 (cbrt.f64 (+.f64 1 (/.f64 1 N))) (/.f64 (cbrt.f64 (+.f64 N 1)) (cbrt.f64 N)))
(/.f64 (*.f64 (cbrt.f64 (+.f64 N 1)) (cbrt.f64 (/.f64 (+.f64 N 1) N))) (cbrt.f64 N))
(*.f64 (cbrt.f64 (/.f64 (+.f64 N 1) N)) (/.f64 (cbrt.f64 (+.f64 N 1)) (cbrt.f64 N)))
(*.f64 (cbrt.f64 (+.f64 1 (/.f64 1 N))) (/.f64 (cbrt.f64 (+.f64 N 1)) (cbrt.f64 N)))
(sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 N 1) N)) 4))
(sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 1 N))) 4))
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(pow.f64 (cbrt.f64 (/.f64 (+.f64 N 1) N)) 2)
(pow.f64 (cbrt.f64 (+.f64 1 (/.f64 1 N))) 2)
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 N 1) N)) 2))))
(pow.f64 (cbrt.f64 (/.f64 (+.f64 N 1) N)) 2)
(pow.f64 (cbrt.f64 (+.f64 1 (/.f64 1 N))) 2)
(cbrt.f64 (pow.f64 (/.f64 (+.f64 N 1) N) 2))
(cbrt.f64 (pow.f64 (+.f64 1 (/.f64 1 N)) 2))
(expm1.f64 (log1p.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 N 1) N)) 2)))
(expm1.f64 (log1p.f64 (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 1 N))) 2)))
(log1p.f64 (expm1.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 N 1) N)) 2)))
(pow.f64 (cbrt.f64 (/.f64 (+.f64 N 1) N)) 2)
(pow.f64 (cbrt.f64 (+.f64 1 (/.f64 1 N))) 2)
(exp.f64 (*.f64 2 (*.f64 1/3 (-.f64 (log1p.f64 N) (log.f64 N)))))
(exp.f64 (*.f64 2/3 (-.f64 (log1p.f64 N) (log.f64 N))))
(pow.f64 (exp.f64 2/3) (-.f64 (log1p.f64 N) (log.f64 N)))

eval708.0ms (7.9%)

Compiler

Compiled 23408 to 16624 computations (29% saved)

prune414.0ms (4.6%)

Pruning

37 alts after pruning (32 fresh and 5 done)

PrunedKeptTotal
New989281017
Fresh448
Picked145
Done011
Total994371031
Accuracy
99.8%
Counts
1031 → 37
Alt Table
Click to see full alt table
StatusAccuracyProgram
20.7%
(pow.f64 (E.f64) (log.f64 (-.f64 (log1p.f64 N) (log.f64 N))))
87.0%
(/.f64 1 N)
94.0%
(-.f64 (/.f64 1 N) (/.f64 1/2 (pow.f64 N 2)))
20.7%
(-.f64 (log1p.f64 N) (log.f64 N))
96.2%
(+.f64 (/.f64 1 N) (+.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 -1/2 (pow.f64 N 2))))
96.6%
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (fma.f64 (pow.f64 N -1/2) (pow.f64 N -1/2) (neg.f64 (fma.f64 1/4 (pow.f64 N -4) (*.f64 1/2 (pow.f64 N -2))))))
91.5%
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (pow.f64 (pow.f64 (-.f64 (/.f64 1 N) (fma.f64 1/4 (pow.f64 N -4) (*.f64 1/2 (pow.f64 N -2)))) 3) 1/3))
96.6%
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (pow.f64 (sqrt.f64 (-.f64 (/.f64 1 N) (fma.f64 1/4 (pow.f64 N -4) (*.f64 1/2 (pow.f64 N -2))))) 2))
95.3%
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (pow.f64 (cbrt.f64 (-.f64 (/.f64 1 N) (fma.f64 1/4 (pow.f64 N -4) (*.f64 1/2 (pow.f64 N -2))))) 3))
96.7%
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 (-.f64 (pow.f64 N 6) (*.f64 N (fma.f64 1/2 (pow.f64 N 4) (*.f64 (pow.f64 N 2) 1/4)))) (pow.f64 N 7)))
96.9%
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 (-.f64 (pow.f64 N 6) (*.f64 N (fma.f64 1/2 (pow.f64 N 4) (*.f64 (pow.f64 N 2) 1/4)))) (*.f64 N (pow.f64 N 6))))
96.2%
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (-.f64 (/.f64 1 N) (/.f64 1/2 (pow.f64 N 2))))
97.2%
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (-.f64 (/.f64 1 N) (+.f64 (/.f64 1/2 (pow.f64 N 2)) (/.f64 1/4 (pow.f64 N 4)))))
92.5%
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (exp.f64 (log.f64 (-.f64 (/.f64 1 N) (fma.f64 1/4 (pow.f64 N -4) (*.f64 1/2 (pow.f64 N -2)))))))
96.3%
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (cbrt.f64 (pow.f64 (-.f64 (/.f64 1 N) (fma.f64 1/4 (pow.f64 N -4) (*.f64 1/2 (pow.f64 N -2)))) 3)))
21.2%
(+.f64 (-.f64 (exp.f64 (log1p.f64 (*.f64 2 (*.f64 1/3 (-.f64 (log1p.f64 N) (log.f64 N)))))) 1) (log.f64 (cbrt.f64 (/.f64 (+.f64 N 1) N))))
21.5%
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 N 1) N)) 2)) (pow.f64 (pow.f64 (*.f64 1/3 (-.f64 (log1p.f64 N) (log.f64 N))) 3) 1/3))
21.4%
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 N 1) N)) 2)) (-.f64 (log.f64 (cbrt.f64 (+.f64 N 1))) (log.f64 (cbrt.f64 N))))
21.8%
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 N 1) N)) 2)) (*.f64 2 (log.f64 (pow.f64 (/.f64 (+.f64 N 1) N) 1/6))))
21.5%
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 N 1) N)) 2)) (*.f64 1/3 (-.f64 (log1p.f64 N) (log.f64 N))))
21.6%
(+.f64 (log.f64 (-.f64 (exp.f64 (log1p.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 N 1) N)) 2))) 1)) (log.f64 (cbrt.f64 (/.f64 (+.f64 N 1) N))))
22.2%
(+.f64 (log.f64 (cbrt.f64 (pow.f64 (/.f64 (+.f64 N 1) N) 2))) (log.f64 (cbrt.f64 (/.f64 (+.f64 N 1) N))))
21.1%
(*.f64 2 (+.f64 (*.f64 1/3 (-.f64 (log1p.f64 N) (log.f64 N))) (log.f64 (pow.f64 (/.f64 (+.f64 N 1) N) 1/6))))
21.8%
(*.f64 2 (*.f64 2 (log.f64 (pow.f64 (/.f64 (+.f64 N 1) N) 1/4))))
16.6%
(*.f64 2 (log.f64 (+.f64 1 (/.f64 1/2 N))))
22.3%
(*.f64 2 (log.f64 (sqrt.f64 (/.f64 (+.f64 N 1) N))))
23.8%
(neg.f64 (log.f64 (/.f64 N (+.f64 N 1))))
23.8%
(log1p.f64 (+.f64 1 (+.f64 (/.f64 1 N) -1)))
23.3%
(log.f64 (+.f64 1 (/.f64 1 N)))
20.7%
(exp.f64 (pow.f64 (cbrt.f64 (log.f64 (-.f64 (log1p.f64 N) (log.f64 N)))) 3))
89.6%
(exp.f64 (-.f64 (neg.f64 (log.f64 N)) (/.f64 1/2 N)))
18.4%
(exp.f64 (-.f64 (log.f64 (+.f64 (*.f64 8 (pow.f64 (*.f64 1/3 (-.f64 (log1p.f64 N) (log.f64 N))) 3)) (pow.f64 (*.f64 1/3 (-.f64 (log1p.f64 N) (log.f64 N))) 3))) (log.f64 (-.f64 (+.f64 (pow.f64 (*.f64 2 (*.f64 1/3 (-.f64 (log1p.f64 N) (log.f64 N)))) 2) (pow.f64 (*.f64 1/3 (-.f64 (log1p.f64 N) (log.f64 N))) 2)) (*.f64 2 (pow.f64 (*.f64 1/3 (-.f64 (log1p.f64 N) (log.f64 N))) 2))))))
91.7%
(exp.f64 (+.f64 (-.f64 (/.f64 5/24 (pow.f64 N 2)) (log.f64 N)) (/.f64 -1/2 N)))
92.5%
(exp.f64 (+.f64 (-.f64 (-.f64 (/.f64 5/24 (pow.f64 N 2)) (log.f64 N)) (/.f64 1/8 (pow.f64 N 3))) (/.f64 -1/2 N)))
91.6%
(exp.f64 (+.f64 (neg.f64 (log.f64 N)) (-.f64 (/.f64 5/24 (pow.f64 N 2)) (/.f64 1/2 N))))
20.7%
(exp.f64 (log.f64 (-.f64 (log1p.f64 N) (log.f64 N))))
22.3%
(exp.f64 (log.f64 (*.f64 2 (log.f64 (sqrt.f64 (/.f64 (+.f64 N 1) N))))))
Compiler

Compiled 1250 to 989 computations (20.9% saved)

localize675.0ms (7.6%)

Localize:

Found 17 expressions with local error:

NewAccuracyProgram
99.9%
(-.f64 (/.f64 1 N) (fma.f64 1/4 (pow.f64 N -4) (*.f64 1/2 (pow.f64 N -2))))
99.4%
(/.f64 1/3 (pow.f64 N 3))
98.8%
(pow.f64 (-.f64 (/.f64 1 N) (fma.f64 1/4 (pow.f64 N -4) (*.f64 1/2 (pow.f64 N -2)))) 3)
94.0%
(pow.f64 (pow.f64 (-.f64 (/.f64 1 N) (fma.f64 1/4 (pow.f64 N -4) (*.f64 1/2 (pow.f64 N -2)))) 3) 1/3)
99.6%
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 N 1) N)) 2)) (*.f64 1/3 (-.f64 (log1p.f64 N) (log.f64 N))))
99.4%
(*.f64 1/3 (-.f64 (log1p.f64 N) (log.f64 N)))
22.8%
(log.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 N 1) N)) 2))
20.7%
(-.f64 (log1p.f64 N) (log.f64 N))
99.9%
(+.f64 (/.f64 1 N) (+.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 -1/2 (pow.f64 N 2))))
99.8%
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 -1/2 (pow.f64 N 2)))
99.6%
(/.f64 -1/2 (pow.f64 N 2))
99.4%
(/.f64 1/3 (pow.f64 N 3))
23.3%
(log.f64 (+.f64 1 (/.f64 1 N)))
99.6%
(*.f64 N (fma.f64 1/2 (pow.f64 N 4) (*.f64 (pow.f64 N 2) 1/4)))
99.5%
(*.f64 N (pow.f64 N 6))
99.4%
(/.f64 1/3 (pow.f64 N 3))
99.4%
(/.f64 (-.f64 (pow.f64 N 6) (*.f64 N (fma.f64 1/2 (pow.f64 N 4) (*.f64 (pow.f64 N 2) 1/4)))) (*.f64 N (pow.f64 N 6)))
Compiler

Compiled 372 to 276 computations (25.8% saved)

series32.0ms (0.4%)

Counts
12 → 132
Calls

36 calls:

TimeVariablePointExpression
3.0ms
N
@-inf
(pow.f64 (pow.f64 (-.f64 (/.f64 1 N) (fma.f64 1/4 (pow.f64 N -4) (*.f64 1/2 (pow.f64 N -2)))) 3) 1/3)
2.0ms
N
@-inf
(*.f64 N (pow.f64 N 6))
1.0ms
N
@inf
(*.f64 N (fma.f64 1/2 (pow.f64 N 4) (*.f64 (pow.f64 N 2) 1/4)))
1.0ms
N
@0
(/.f64 (-.f64 (pow.f64 N 6) (*.f64 N (fma.f64 1/2 (pow.f64 N 4) (*.f64 (pow.f64 N 2) 1/4)))) (*.f64 N (pow.f64 N 6)))
1.0ms
N
@inf
(/.f64 (-.f64 (pow.f64 N 6) (*.f64 N (fma.f64 1/2 (pow.f64 N 4) (*.f64 (pow.f64 N 2) 1/4)))) (*.f64 N (pow.f64 N 6)))

rewrite138.0ms (1.5%)

Algorithm
batch-egg-rewrite
Rules
380×log1p-expm1-u
380×expm1-log1p-u
361×pow1
360×add-exp-log
350×add-log-exp
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
052503
1850433
Stop Event
node limit
Counts
12 → 262
Calls
Call 1
Inputs
(/.f64 (-.f64 (pow.f64 N 6) (*.f64 N (fma.f64 1/2 (pow.f64 N 4) (*.f64 (pow.f64 N 2) 1/4)))) (*.f64 N (pow.f64 N 6)))
(*.f64 N (pow.f64 N 6))
(*.f64 N (fma.f64 1/2 (pow.f64 N 4) (*.f64 (pow.f64 N 2) 1/4)))
(log.f64 (+.f64 1 (/.f64 1 N)))
(/.f64 -1/2 (pow.f64 N 2))
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 -1/2 (pow.f64 N 2)))
(+.f64 (/.f64 1 N) (+.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 -1/2 (pow.f64 N 2))))
(*.f64 1/3 (-.f64 (log1p.f64 N) (log.f64 N)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 N 1) N)) 2)) (*.f64 1/3 (-.f64 (log1p.f64 N) (log.f64 N))))
(pow.f64 (pow.f64 (-.f64 (/.f64 1 N) (fma.f64 1/4 (pow.f64 N -4) (*.f64 1/2 (pow.f64 N -2)))) 3) 1/3)
(pow.f64 (-.f64 (/.f64 1 N) (fma.f64 1/4 (pow.f64 N -4) (*.f64 1/2 (pow.f64 N -2)))) 3)
(-.f64 (/.f64 1 N) (fma.f64 1/4 (pow.f64 N -4) (*.f64 1/2 (pow.f64 N -2))))
Outputs
(-.f64 (/.f64 (pow.f64 N 6) (pow.f64 N 7)) (/.f64 (*.f64 N (fma.f64 1/2 (pow.f64 N 4) (*.f64 (pow.f64 N 2) 1/4))) (pow.f64 N 7)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (-.f64 (pow.f64 N 6) (*.f64 N (fma.f64 1/2 (pow.f64 N 4) (*.f64 (pow.f64 N 2) 1/4)))) (pow.f64 N 7)))) 1)
(*.f64 (-.f64 (pow.f64 N 6) (*.f64 N (fma.f64 1/2 (pow.f64 N 4) (*.f64 (pow.f64 N 2) 1/4)))) (/.f64 1 (pow.f64 N 7)))
(*.f64 1 (/.f64 (-.f64 (pow.f64 N 6) (*.f64 N (fma.f64 1/2 (pow.f64 N 4) (*.f64 (pow.f64 N 2) 1/4)))) (pow.f64 N 7)))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 (pow.f64 N 6) (*.f64 N (fma.f64 1/2 (pow.f64 N 4) (*.f64 (pow.f64 N 2) 1/4)))) (pow.f64 N 7))) 2) (cbrt.f64 (/.f64 (-.f64 (pow.f64 N 6) (*.f64 N (fma.f64 1/2 (pow.f64 N 4) (*.f64 (pow.f64 N 2) 1/4)))) (pow.f64 N 7))))
(*.f64 (sqrt.f64 (/.f64 (-.f64 (pow.f64 N 6) (*.f64 N (fma.f64 1/2 (pow.f64 N 4) (*.f64 (pow.f64 N 2) 1/4)))) (pow.f64 N 7))) (sqrt.f64 (/.f64 (-.f64 (pow.f64 N 6) (*.f64 N (fma.f64 1/2 (pow.f64 N 4) (*.f64 (pow.f64 N 2) 1/4)))) (pow.f64 N 7))))
(pow.f64 (/.f64 (-.f64 (pow.f64 N 6) (*.f64 N (fma.f64 1/2 (pow.f64 N 4) (*.f64 (pow.f64 N 2) 1/4)))) (pow.f64 N 7)) 1)
(pow.f64 (cbrt.f64 (/.f64 (-.f64 (pow.f64 N 6) (*.f64 N (fma.f64 1/2 (pow.f64 N 4) (*.f64 (pow.f64 N 2) 1/4)))) (pow.f64 N 7))) 3)
(pow.f64 (pow.f64 (/.f64 (-.f64 (pow.f64 N 6) (*.f64 N (fma.f64 1/2 (pow.f64 N 4) (*.f64 (pow.f64 N 2) 1/4)))) (pow.f64 N 7)) 3) 1/3)
(pow.f64 (sqrt.f64 (/.f64 (-.f64 (pow.f64 N 6) (*.f64 N (fma.f64 1/2 (pow.f64 N 4) (*.f64 (pow.f64 N 2) 1/4)))) (pow.f64 N 7))) 2)
(pow.f64 (/.f64 (pow.f64 N 7) (-.f64 (pow.f64 N 6) (*.f64 N (fma.f64 1/2 (pow.f64 N 4) (*.f64 (pow.f64 N 2) 1/4))))) -1)
(log.f64 (exp.f64 (/.f64 (-.f64 (pow.f64 N 6) (*.f64 N (fma.f64 1/2 (pow.f64 N 4) (*.f64 (pow.f64 N 2) 1/4)))) (pow.f64 N 7))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (-.f64 (pow.f64 N 6) (*.f64 N (fma.f64 1/2 (pow.f64 N 4) (*.f64 (pow.f64 N 2) 1/4)))) (pow.f64 N 7)))))
(cbrt.f64 (pow.f64 (/.f64 (-.f64 (pow.f64 N 6) (*.f64 N (fma.f64 1/2 (pow.f64 N 4) (*.f64 (pow.f64 N 2) 1/4)))) (pow.f64 N 7)) 3))
(cbrt.f64 (/.f64 (pow.f64 (-.f64 (pow.f64 N 6) (*.f64 N (fma.f64 1/2 (pow.f64 N 4) (*.f64 (pow.f64 N 2) 1/4)))) 3) (pow.f64 (pow.f64 N 7) 3)))
(expm1.f64 (log1p.f64 (/.f64 (-.f64 (pow.f64 N 6) (*.f64 N (fma.f64 1/2 (pow.f64 N 4) (*.f64 (pow.f64 N 2) 1/4)))) (pow.f64 N 7))))
(log1p.f64 (expm1.f64 (/.f64 (-.f64 (pow.f64 N 6) (*.f64 N (fma.f64 1/2 (pow.f64 N 4) (*.f64 (pow.f64 N 2) 1/4)))) (pow.f64 N 7))))
(exp.f64 (log.f64 (/.f64 (-.f64 (pow.f64 N 6) (*.f64 N (fma.f64 1/2 (pow.f64 N 4) (*.f64 (pow.f64 N 2) 1/4)))) (pow.f64 N 7))))
(exp.f64 (*.f64 (log.f64 (/.f64 (-.f64 (pow.f64 N 6) (*.f64 N (fma.f64 1/2 (pow.f64 N 4) (*.f64 (pow.f64 N 2) 1/4)))) (pow.f64 N 7))) 1))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 N 7))) 1)
(pow.f64 N 7)
(pow.f64 (pow.f64 N 7) 1)
(pow.f64 (cbrt.f64 (pow.f64 N 7)) 3)
(pow.f64 (pow.f64 (pow.f64 N 7) 3) 1/3)
(pow.f64 (sqrt.f64 (pow.f64 N 7)) 2)
(log.f64 (exp.f64 (pow.f64 N 7)))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 N 7))))
(cbrt.f64 (pow.f64 (pow.f64 N 7) 3))
(cbrt.f64 (*.f64 (pow.f64 N 3) (pow.f64 N 18)))
(cbrt.f64 (*.f64 (pow.f64 N 18) (pow.f64 N 3)))
(expm1.f64 (log1p.f64 (pow.f64 N 7)))
(log1p.f64 (expm1.f64 (pow.f64 N 7)))
(exp.f64 (log.f64 (pow.f64 N 7)))
(exp.f64 (*.f64 (log.f64 (pow.f64 N 7)) 1))
(-.f64 (exp.f64 (log1p.f64 (*.f64 N (fma.f64 1/2 (pow.f64 N 4) (*.f64 (pow.f64 N 2) 1/4))))) 1)
(pow.f64 (*.f64 N (fma.f64 1/2 (pow.f64 N 4) (*.f64 (pow.f64 N 2) 1/4))) 1)
(pow.f64 (cbrt.f64 (*.f64 N (fma.f64 1/2 (pow.f64 N 4) (*.f64 (pow.f64 N 2) 1/4)))) 3)
(pow.f64 (pow.f64 (*.f64 N (fma.f64 1/2 (pow.f64 N 4) (*.f64 (pow.f64 N 2) 1/4))) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 N (fma.f64 1/2 (pow.f64 N 4) (*.f64 (pow.f64 N 2) 1/4)))) 2)
(log.f64 (pow.f64 (exp.f64 N) (fma.f64 1/2 (pow.f64 N 4) (*.f64 (pow.f64 N 2) 1/4))))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 N (fma.f64 1/2 (pow.f64 N 4) (*.f64 (pow.f64 N 2) 1/4))))))
(cbrt.f64 (pow.f64 (*.f64 N (fma.f64 1/2 (pow.f64 N 4) (*.f64 (pow.f64 N 2) 1/4))) 3))
(expm1.f64 (log1p.f64 (*.f64 N (fma.f64 1/2 (pow.f64 N 4) (*.f64 (pow.f64 N 2) 1/4)))))
(log1p.f64 (expm1.f64 (*.f64 N (fma.f64 1/2 (pow.f64 N 4) (*.f64 (pow.f64 N 2) 1/4)))))
(exp.f64 (log.f64 (*.f64 N (fma.f64 1/2 (pow.f64 N 4) (*.f64 (pow.f64 N 2) 1/4)))))
(exp.f64 (*.f64 (log.f64 (*.f64 N (fma.f64 1/2 (pow.f64 N 4) (*.f64 (pow.f64 N 2) 1/4)))) 1))
(+.f64 0 (log1p.f64 (/.f64 1 N)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 1 N))) 2)) (log.f64 (cbrt.f64 (+.f64 1 (/.f64 1 N)))))
(+.f64 (log.f64 (sqrt.f64 (+.f64 1 (/.f64 1 N)))) (log.f64 (sqrt.f64 (+.f64 1 (/.f64 1 N)))))
(-.f64 (exp.f64 (log1p.f64 (log1p.f64 (/.f64 1 N)))) 1)
(-.f64 (log.f64 (-.f64 1 (pow.f64 N -2))) (log.f64 (-.f64 1 (/.f64 1 N))))
(-.f64 (log.f64 (+.f64 1 (pow.f64 N -3))) (log.f64 (+.f64 1 (-.f64 (pow.f64 N -2) (/.f64 1 N)))))
(*.f64 1 (log1p.f64 (/.f64 1 N)))
(*.f64 (pow.f64 (cbrt.f64 (log1p.f64 (/.f64 1 N))) 2) (cbrt.f64 (log1p.f64 (/.f64 1 N))))
(*.f64 (sqrt.f64 (log1p.f64 (/.f64 1 N))) (sqrt.f64 (log1p.f64 (/.f64 1 N))))
(pow.f64 (log1p.f64 (/.f64 1 N)) 1)
(pow.f64 (cbrt.f64 (log1p.f64 (/.f64 1 N))) 3)
(pow.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 3) 1/3)
(pow.f64 (sqrt.f64 (log1p.f64 (/.f64 1 N))) 2)
(cbrt.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 3))
(expm1.f64 (log1p.f64 (log1p.f64 (/.f64 1 N))))
(log1p.f64 (/.f64 1 N))
(exp.f64 (log.f64 (log1p.f64 (/.f64 1 N))))
(exp.f64 (*.f64 (log.f64 (log1p.f64 (/.f64 1 N))) 1))
(-.f64 (exp.f64 (log1p.f64 (/.f64 -1/2 (pow.f64 N 2)))) 1)
(*.f64 1 (/.f64 -1/2 (pow.f64 N 2)))
(*.f64 -1/2 (pow.f64 N -2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 -1/2 (pow.f64 N 2))) 2) (cbrt.f64 (/.f64 -1/2 (pow.f64 N 2))))
(*.f64 (sqrt.f64 (/.f64 -1/2 (pow.f64 N 2))) (sqrt.f64 (/.f64 -1/2 (pow.f64 N 2))))
(pow.f64 (/.f64 -1/2 (pow.f64 N 2)) 1)
(pow.f64 (cbrt.f64 (/.f64 -1/2 (pow.f64 N 2))) 3)
(pow.f64 (*.f64 -1/8 (pow.f64 N -6)) 1/3)
(pow.f64 (sqrt.f64 (/.f64 -1/2 (pow.f64 N 2))) 2)
(pow.f64 (/.f64 (pow.f64 N 2) -1/2) -1)
(log.f64 (pow.f64 (exp.f64 -1/2) (pow.f64 N -2)))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 -1/2 (pow.f64 N 2)))))
(cbrt.f64 (*.f64 -1/8 (pow.f64 N -6)))
(expm1.f64 (log1p.f64 (/.f64 -1/2 (pow.f64 N 2))))
(log1p.f64 (expm1.f64 (/.f64 -1/2 (pow.f64 N 2))))
(exp.f64 (log.f64 (/.f64 -1/2 (pow.f64 N 2))))
(exp.f64 (*.f64 (log.f64 (/.f64 -1/2 (pow.f64 N 2))) 1))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 1/3 (pow.f64 N -3) (/.f64 -1/2 (pow.f64 N 2))))) 1)
(*.f64 1 (fma.f64 1/3 (pow.f64 N -3) (/.f64 -1/2 (pow.f64 N 2))))
(*.f64 (cbrt.f64 (pow.f64 (fma.f64 1/3 (pow.f64 N -3) (/.f64 -1/2 (pow.f64 N 2))) 2)) (cbrt.f64 (fma.f64 1/3 (pow.f64 N -3) (/.f64 -1/2 (pow.f64 N 2)))))
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(*.f64 (cbrt.f64 (-.f64 (/.f64 1 N) (fma.f64 1/4 (pow.f64 N -4) (*.f64 1/2 (pow.f64 N -2))))) (pow.f64 (cbrt.f64 (-.f64 (/.f64 1 N) (fma.f64 1/4 (pow.f64 N -4) (*.f64 1/2 (pow.f64 N -2))))) 2))
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(*.f64 (pow.f64 (cbrt.f64 (-.f64 (/.f64 1 N) (fma.f64 1/4 (pow.f64 N -4) (*.f64 1/2 (pow.f64 N -2))))) 2) (cbrt.f64 (-.f64 (/.f64 1 N) (fma.f64 1/4 (pow.f64 N -4) (*.f64 1/2 (pow.f64 N -2))))))
(*.f64 (sqrt.f64 (-.f64 (/.f64 1 N) (fma.f64 1/4 (pow.f64 N -4) (*.f64 1/2 (pow.f64 N -2))))) (sqrt.f64 (-.f64 (/.f64 1 N) (fma.f64 1/4 (pow.f64 N -4) (*.f64 1/2 (pow.f64 N -2))))))
(*.f64 (pow.f64 1 1/3) (-.f64 (/.f64 1 N) (fma.f64 1/4 (pow.f64 N -4) (*.f64 1/2 (pow.f64 N -2)))))
(*.f64 (pow.f64 (pow.f64 (-.f64 (/.f64 1 N) (fma.f64 1/4 (pow.f64 N -4) (*.f64 1/2 (pow.f64 N -2)))) 2) 1/3) (cbrt.f64 (-.f64 (/.f64 1 N) (fma.f64 1/4 (pow.f64 N -4) (*.f64 1/2 (pow.f64 N -2))))))
(*.f64 (pow.f64 (pow.f64 (-.f64 (/.f64 1 N) (fma.f64 1/4 (pow.f64 N -4) (*.f64 1/2 (pow.f64 N -2)))) 3/2) 1/3) (pow.f64 (pow.f64 (-.f64 (/.f64 1 N) (fma.f64 1/4 (pow.f64 N -4) (*.f64 1/2 (pow.f64 N -2)))) 3/2) 1/3))
(*.f64 (cbrt.f64 (pow.f64 (-.f64 (/.f64 1 N) (fma.f64 1/4 (pow.f64 N -4) (*.f64 1/2 (pow.f64 N -2)))) 3/2)) (cbrt.f64 (pow.f64 (-.f64 (/.f64 1 N) (fma.f64 1/4 (pow.f64 N -4) (*.f64 1/2 (pow.f64 N -2)))) 3/2)))
(/.f64 (-.f64 (pow.f64 N -2) (pow.f64 (fma.f64 1/4 (pow.f64 N -4) (*.f64 1/2 (pow.f64 N -2))) 2)) (+.f64 (/.f64 1 N) (fma.f64 1/4 (pow.f64 N -4) (*.f64 1/2 (pow.f64 N -2)))))
(/.f64 (-.f64 (pow.f64 N -3) (pow.f64 (fma.f64 1/4 (pow.f64 N -4) (*.f64 1/2 (pow.f64 N -2))) 3)) (+.f64 (pow.f64 N -2) (+.f64 (pow.f64 (fma.f64 1/4 (pow.f64 N -4) (*.f64 1/2 (pow.f64 N -2))) 2) (*.f64 (/.f64 1 N) (fma.f64 1/4 (pow.f64 N -4) (*.f64 1/2 (pow.f64 N -2)))))))
(log.f64 (exp.f64 (-.f64 (/.f64 1 N) (fma.f64 1/4 (pow.f64 N -4) (*.f64 1/2 (pow.f64 N -2))))))
(log.f64 (+.f64 1 (expm1.f64 (-.f64 (/.f64 1 N) (fma.f64 1/4 (pow.f64 N -4) (*.f64 1/2 (pow.f64 N -2)))))))
(cbrt.f64 (pow.f64 (-.f64 (/.f64 1 N) (fma.f64 1/4 (pow.f64 N -4) (*.f64 1/2 (pow.f64 N -2)))) 3))
(expm1.f64 (log1p.f64 (-.f64 (/.f64 1 N) (fma.f64 1/4 (pow.f64 N -4) (*.f64 1/2 (pow.f64 N -2))))))
(log1p.f64 (expm1.f64 (-.f64 (/.f64 1 N) (fma.f64 1/4 (pow.f64 N -4) (*.f64 1/2 (pow.f64 N -2))))))
(exp.f64 (log.f64 (-.f64 (/.f64 1 N) (fma.f64 1/4 (pow.f64 N -4) (*.f64 1/2 (pow.f64 N -2))))))
(exp.f64 (*.f64 (log.f64 (-.f64 (/.f64 1 N) (fma.f64 1/4 (pow.f64 N -4) (*.f64 1/2 (pow.f64 N -2))))) 1))
(fma.f64 1 (/.f64 1 N) (neg.f64 (fma.f64 1/4 (pow.f64 N -4) (*.f64 1/2 (pow.f64 N -2)))))
(fma.f64 (cbrt.f64 (pow.f64 N -2)) (/.f64 1 (cbrt.f64 N)) (neg.f64 (fma.f64 1/4 (pow.f64 N -4) (*.f64 1/2 (pow.f64 N -2)))))
(fma.f64 (sqrt.f64 (/.f64 1 N)) (sqrt.f64 (/.f64 1 N)) (neg.f64 (fma.f64 1/4 (pow.f64 N -4) (*.f64 1/2 (pow.f64 N -2)))))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (-.f64 (/.f64 1 N) (fma.f64 1/4 (pow.f64 N -4) (*.f64 1/2 (pow.f64 N -2)))) 3))) 1)
(*.f64 1 (pow.f64 (-.f64 (/.f64 1 N) (fma.f64 1/4 (pow.f64 N -4) (*.f64 1/2 (pow.f64 N -2)))) 3))
(*.f64 (-.f64 (/.f64 1 N) (fma.f64 1/4 (pow.f64 N -4) (*.f64 1/2 (pow.f64 N -2)))) (pow.f64 (-.f64 (/.f64 1 N) (fma.f64 1/4 (pow.f64 N -4) (*.f64 1/2 (pow.f64 N -2)))) 2))
(*.f64 (pow.f64 (-.f64 (/.f64 1 N) (fma.f64 1/4 (pow.f64 N -4) (*.f64 1/2 (pow.f64 N -2)))) 2) (-.f64 (/.f64 1 N) (fma.f64 1/4 (pow.f64 N -4) (*.f64 1/2 (pow.f64 N -2)))))
(*.f64 (pow.f64 (-.f64 (/.f64 1 N) (fma.f64 1/4 (pow.f64 N -4) (*.f64 1/2 (pow.f64 N -2)))) 3/2) (pow.f64 (-.f64 (/.f64 1 N) (fma.f64 1/4 (pow.f64 N -4) (*.f64 1/2 (pow.f64 N -2)))) 3/2))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (-.f64 (/.f64 1 N) (fma.f64 1/4 (pow.f64 N -4) (*.f64 1/2 (pow.f64 N -2))))) 2) 3) (-.f64 (/.f64 1 N) (fma.f64 1/4 (pow.f64 N -4) (*.f64 1/2 (pow.f64 N -2)))))
(*.f64 (pow.f64 (sqrt.f64 (-.f64 (/.f64 1 N) (fma.f64 1/4 (pow.f64 N -4) (*.f64 1/2 (pow.f64 N -2))))) 3) (pow.f64 (sqrt.f64 (-.f64 (/.f64 1 N) (fma.f64 1/4 (pow.f64 N -4) (*.f64 1/2 (pow.f64 N -2))))) 3))
(/.f64 (pow.f64 (-.f64 (pow.f64 N -3) (pow.f64 (fma.f64 1/4 (pow.f64 N -4) (*.f64 1/2 (pow.f64 N -2))) 3)) 3) (pow.f64 (+.f64 (pow.f64 N -2) (+.f64 (pow.f64 (fma.f64 1/4 (pow.f64 N -4) (*.f64 1/2 (pow.f64 N -2))) 2) (*.f64 (/.f64 1 N) (fma.f64 1/4 (pow.f64 N -4) (*.f64 1/2 (pow.f64 N -2)))))) 3))
(/.f64 (pow.f64 (-.f64 (pow.f64 N -2) (pow.f64 (fma.f64 1/4 (pow.f64 N -4) (*.f64 1/2 (pow.f64 N -2))) 2)) 3) (pow.f64 (+.f64 (/.f64 1 N) (fma.f64 1/4 (pow.f64 N -4) (*.f64 1/2 (pow.f64 N -2)))) 3))
(log.f64 (exp.f64 (pow.f64 (-.f64 (/.f64 1 N) (fma.f64 1/4 (pow.f64 N -4) (*.f64 1/2 (pow.f64 N -2)))) 3)))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (-.f64 (/.f64 1 N) (fma.f64 1/4 (pow.f64 N -4) (*.f64 1/2 (pow.f64 N -2)))) 3))))
(cbrt.f64 (pow.f64 (pow.f64 (-.f64 (/.f64 1 N) (fma.f64 1/4 (pow.f64 N -4) (*.f64 1/2 (pow.f64 N -2)))) 3) 3))
(expm1.f64 (log1p.f64 (pow.f64 (-.f64 (/.f64 1 N) (fma.f64 1/4 (pow.f64 N -4) (*.f64 1/2 (pow.f64 N -2)))) 3)))
(log1p.f64 (expm1.f64 (pow.f64 (-.f64 (/.f64 1 N) (fma.f64 1/4 (pow.f64 N -4) (*.f64 1/2 (pow.f64 N -2)))) 3)))
(exp.f64 (*.f64 3 (log.f64 (-.f64 (/.f64 1 N) (fma.f64 1/4 (pow.f64 N -4) (*.f64 1/2 (pow.f64 N -2)))))))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (-.f64 (/.f64 1 N) (fma.f64 1/4 (pow.f64 N -4) (*.f64 1/2 (pow.f64 N -2)))))) 1))
(+.f64 (/.f64 1 N) (neg.f64 (fma.f64 1/4 (pow.f64 N -4) (*.f64 1/2 (pow.f64 N -2)))))
(+.f64 (-.f64 (/.f64 1 N) (fma.f64 1/4 (pow.f64 N -4) (*.f64 1/2 (pow.f64 N -2)))) (fma.f64 (neg.f64 (sqrt.f64 (fma.f64 1/4 (pow.f64 N -4) (*.f64 1/2 (pow.f64 N -2))))) (sqrt.f64 (fma.f64 1/4 (pow.f64 N -4) (*.f64 1/2 (pow.f64 N -2)))) (fma.f64 1/4 (pow.f64 N -4) (*.f64 1/2 (pow.f64 N -2)))))
(+.f64 (fma.f64 1 (/.f64 1 N) (neg.f64 (*.f64 (fma.f64 1/4 (pow.f64 N -4) (*.f64 1/2 (pow.f64 N -2))) 1))) (fma.f64 (neg.f64 (fma.f64 1/4 (pow.f64 N -4) (*.f64 1/2 (pow.f64 N -2)))) 1 (*.f64 (fma.f64 1/4 (pow.f64 N -4) (*.f64 1/2 (pow.f64 N -2))) 1)))
(+.f64 (fma.f64 1 (/.f64 1 N) (neg.f64 (*.f64 (cbrt.f64 (fma.f64 1/4 (pow.f64 N -4) (*.f64 1/2 (pow.f64 N -2)))) (pow.f64 (cbrt.f64 (fma.f64 1/4 (pow.f64 N -4) (*.f64 1/2 (pow.f64 N -2)))) 2)))) (fma.f64 (neg.f64 (cbrt.f64 (fma.f64 1/4 (pow.f64 N -4) (*.f64 1/2 (pow.f64 N -2))))) (pow.f64 (cbrt.f64 (fma.f64 1/4 (pow.f64 N -4) (*.f64 1/2 (pow.f64 N -2)))) 2) (*.f64 (cbrt.f64 (fma.f64 1/4 (pow.f64 N -4) (*.f64 1/2 (pow.f64 N -2)))) (pow.f64 (cbrt.f64 (fma.f64 1/4 (pow.f64 N -4) (*.f64 1/2 (pow.f64 N -2)))) 2))))
(+.f64 (fma.f64 (cbrt.f64 (pow.f64 N -2)) (/.f64 1 (cbrt.f64 N)) (neg.f64 (*.f64 (fma.f64 1/4 (pow.f64 N -4) (*.f64 1/2 (pow.f64 N -2))) 1))) (fma.f64 (neg.f64 (fma.f64 1/4 (pow.f64 N -4) (*.f64 1/2 (pow.f64 N -2)))) 1 (*.f64 (fma.f64 1/4 (pow.f64 N -4) (*.f64 1/2 (pow.f64 N -2))) 1)))
(+.f64 (fma.f64 (cbrt.f64 (pow.f64 N -2)) (/.f64 1 (cbrt.f64 N)) (neg.f64 (*.f64 (cbrt.f64 (fma.f64 1/4 (pow.f64 N -4) (*.f64 1/2 (pow.f64 N -2)))) (pow.f64 (cbrt.f64 (fma.f64 1/4 (pow.f64 N -4) (*.f64 1/2 (pow.f64 N -2)))) 2)))) (fma.f64 (neg.f64 (cbrt.f64 (fma.f64 1/4 (pow.f64 N -4) (*.f64 1/2 (pow.f64 N -2))))) (pow.f64 (cbrt.f64 (fma.f64 1/4 (pow.f64 N -4) (*.f64 1/2 (pow.f64 N -2)))) 2) (*.f64 (cbrt.f64 (fma.f64 1/4 (pow.f64 N -4) (*.f64 1/2 (pow.f64 N -2)))) (pow.f64 (cbrt.f64 (fma.f64 1/4 (pow.f64 N -4) (*.f64 1/2 (pow.f64 N -2)))) 2))))
(+.f64 (fma.f64 (sqrt.f64 (/.f64 1 N)) (sqrt.f64 (/.f64 1 N)) (neg.f64 (*.f64 (fma.f64 1/4 (pow.f64 N -4) (*.f64 1/2 (pow.f64 N -2))) 1))) (fma.f64 (neg.f64 (fma.f64 1/4 (pow.f64 N -4) (*.f64 1/2 (pow.f64 N -2)))) 1 (*.f64 (fma.f64 1/4 (pow.f64 N -4) (*.f64 1/2 (pow.f64 N -2))) 1)))
(+.f64 (fma.f64 (sqrt.f64 (/.f64 1 N)) (sqrt.f64 (/.f64 1 N)) (neg.f64 (*.f64 (cbrt.f64 (fma.f64 1/4 (pow.f64 N -4) (*.f64 1/2 (pow.f64 N -2)))) (pow.f64 (cbrt.f64 (fma.f64 1/4 (pow.f64 N -4) (*.f64 1/2 (pow.f64 N -2)))) 2)))) (fma.f64 (neg.f64 (cbrt.f64 (fma.f64 1/4 (pow.f64 N -4) (*.f64 1/2 (pow.f64 N -2))))) (pow.f64 (cbrt.f64 (fma.f64 1/4 (pow.f64 N -4) (*.f64 1/2 (pow.f64 N -2)))) 2) (*.f64 (cbrt.f64 (fma.f64 1/4 (pow.f64 N -4) (*.f64 1/2 (pow.f64 N -2)))) (pow.f64 (cbrt.f64 (fma.f64 1/4 (pow.f64 N -4) (*.f64 1/2 (pow.f64 N -2)))) 2))))
(*.f64 1 (-.f64 (/.f64 1 N) (fma.f64 1/4 (pow.f64 N -4) (*.f64 1/2 (pow.f64 N -2)))))
(*.f64 (cbrt.f64 (-.f64 (/.f64 1 N) (fma.f64 1/4 (pow.f64 N -4) (*.f64 1/2 (pow.f64 N -2))))) (pow.f64 (cbrt.f64 (-.f64 (/.f64 1 N) (fma.f64 1/4 (pow.f64 N -4) (*.f64 1/2 (pow.f64 N -2))))) 2))
(*.f64 (cbrt.f64 (-.f64 (/.f64 1 N) (fma.f64 1/4 (pow.f64 N -4) (*.f64 1/2 (pow.f64 N -2))))) (pow.f64 (pow.f64 (-.f64 (/.f64 1 N) (fma.f64 1/4 (pow.f64 N -4) (*.f64 1/2 (pow.f64 N -2)))) 2) 1/3))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 (/.f64 1 N) (fma.f64 1/4 (pow.f64 N -4) (*.f64 1/2 (pow.f64 N -2))))) 2) (cbrt.f64 (-.f64 (/.f64 1 N) (fma.f64 1/4 (pow.f64 N -4) (*.f64 1/2 (pow.f64 N -2))))))
(*.f64 (sqrt.f64 (-.f64 (/.f64 1 N) (fma.f64 1/4 (pow.f64 N -4) (*.f64 1/2 (pow.f64 N -2))))) (sqrt.f64 (-.f64 (/.f64 1 N) (fma.f64 1/4 (pow.f64 N -4) (*.f64 1/2 (pow.f64 N -2))))))
(*.f64 (pow.f64 1 1/3) (-.f64 (/.f64 1 N) (fma.f64 1/4 (pow.f64 N -4) (*.f64 1/2 (pow.f64 N -2)))))
(*.f64 (pow.f64 (pow.f64 (-.f64 (/.f64 1 N) (fma.f64 1/4 (pow.f64 N -4) (*.f64 1/2 (pow.f64 N -2)))) 2) 1/3) (cbrt.f64 (-.f64 (/.f64 1 N) (fma.f64 1/4 (pow.f64 N -4) (*.f64 1/2 (pow.f64 N -2))))))
(*.f64 (pow.f64 (pow.f64 (-.f64 (/.f64 1 N) (fma.f64 1/4 (pow.f64 N -4) (*.f64 1/2 (pow.f64 N -2)))) 3/2) 1/3) (pow.f64 (pow.f64 (-.f64 (/.f64 1 N) (fma.f64 1/4 (pow.f64 N -4) (*.f64 1/2 (pow.f64 N -2)))) 3/2) 1/3))
(*.f64 (cbrt.f64 (pow.f64 (-.f64 (/.f64 1 N) (fma.f64 1/4 (pow.f64 N -4) (*.f64 1/2 (pow.f64 N -2)))) 3/2)) (cbrt.f64 (pow.f64 (-.f64 (/.f64 1 N) (fma.f64 1/4 (pow.f64 N -4) (*.f64 1/2 (pow.f64 N -2)))) 3/2)))
(/.f64 (-.f64 (pow.f64 N -2) (pow.f64 (fma.f64 1/4 (pow.f64 N -4) (*.f64 1/2 (pow.f64 N -2))) 2)) (+.f64 (/.f64 1 N) (fma.f64 1/4 (pow.f64 N -4) (*.f64 1/2 (pow.f64 N -2)))))
(/.f64 (-.f64 (pow.f64 N -3) (pow.f64 (fma.f64 1/4 (pow.f64 N -4) (*.f64 1/2 (pow.f64 N -2))) 3)) (+.f64 (pow.f64 N -2) (+.f64 (pow.f64 (fma.f64 1/4 (pow.f64 N -4) (*.f64 1/2 (pow.f64 N -2))) 2) (*.f64 (/.f64 1 N) (fma.f64 1/4 (pow.f64 N -4) (*.f64 1/2 (pow.f64 N -2)))))))
(pow.f64 (-.f64 (/.f64 1 N) (fma.f64 1/4 (pow.f64 N -4) (*.f64 1/2 (pow.f64 N -2)))) 1)
(pow.f64 (pow.f64 (-.f64 (/.f64 1 N) (fma.f64 1/4 (pow.f64 N -4) (*.f64 1/2 (pow.f64 N -2)))) 3) 1/3)
(pow.f64 (cbrt.f64 (-.f64 (/.f64 1 N) (fma.f64 1/4 (pow.f64 N -4) (*.f64 1/2 (pow.f64 N -2))))) 3)
(pow.f64 (pow.f64 (-.f64 (/.f64 1 N) (fma.f64 1/4 (pow.f64 N -4) (*.f64 1/2 (pow.f64 N -2)))) 6) 1/6)
(pow.f64 (sqrt.f64 (-.f64 (/.f64 1 N) (fma.f64 1/4 (pow.f64 N -4) (*.f64 1/2 (pow.f64 N -2))))) 2)
(log.f64 (exp.f64 (-.f64 (/.f64 1 N) (fma.f64 1/4 (pow.f64 N -4) (*.f64 1/2 (pow.f64 N -2))))))
(log.f64 (+.f64 1 (expm1.f64 (-.f64 (/.f64 1 N) (fma.f64 1/4 (pow.f64 N -4) (*.f64 1/2 (pow.f64 N -2)))))))
(cbrt.f64 (pow.f64 (-.f64 (/.f64 1 N) (fma.f64 1/4 (pow.f64 N -4) (*.f64 1/2 (pow.f64 N -2)))) 3))
(expm1.f64 (log1p.f64 (-.f64 (/.f64 1 N) (fma.f64 1/4 (pow.f64 N -4) (*.f64 1/2 (pow.f64 N -2))))))
(log1p.f64 (expm1.f64 (-.f64 (/.f64 1 N) (fma.f64 1/4 (pow.f64 N -4) (*.f64 1/2 (pow.f64 N -2))))))
(exp.f64 (log.f64 (-.f64 (/.f64 1 N) (fma.f64 1/4 (pow.f64 N -4) (*.f64 1/2 (pow.f64 N -2))))))
(exp.f64 (*.f64 (log.f64 (-.f64 (/.f64 1 N) (fma.f64 1/4 (pow.f64 N -4) (*.f64 1/2 (pow.f64 N -2))))) 1))
(fma.f64 1 (/.f64 1 N) (neg.f64 (fma.f64 1/4 (pow.f64 N -4) (*.f64 1/2 (pow.f64 N -2)))))
(fma.f64 (cbrt.f64 (pow.f64 N -2)) (/.f64 1 (cbrt.f64 N)) (neg.f64 (fma.f64 1/4 (pow.f64 N -4) (*.f64 1/2 (pow.f64 N -2)))))
(fma.f64 (sqrt.f64 (/.f64 1 N)) (sqrt.f64 (/.f64 1 N)) (neg.f64 (fma.f64 1/4 (pow.f64 N -4) (*.f64 1/2 (pow.f64 N -2)))))

simplify306.0ms (3.4%)

Algorithm
egg-herbie
Rules
1076×associate-+l+
976×associate-+r+
916×cancel-sign-sub-inv
690×fma-neg
456×sub-neg
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
066017180
1136316851
2399416385
Stop Event
node limit
Counts
394 → 395
Calls
Call 1
Inputs
(/.f64 -1/4 (pow.f64 N 4))
(neg.f64 (+.f64 (*.f64 1/2 (/.f64 1 (pow.f64 N 2))) (*.f64 1/4 (/.f64 1 (pow.f64 N 4)))))
(-.f64 (/.f64 1 N) (+.f64 (*.f64 1/2 (/.f64 1 (pow.f64 N 2))) (*.f64 1/4 (/.f64 1 (pow.f64 N 4)))))
(-.f64 (/.f64 1 N) (+.f64 (*.f64 1/2 (/.f64 1 (pow.f64 N 2))) (*.f64 1/4 (/.f64 1 (pow.f64 N 4)))))
(/.f64 1 N)
(-.f64 (/.f64 1 N) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (/.f64 1 N) (+.f64 (*.f64 1/4 (/.f64 1 (pow.f64 N 4))) (*.f64 1/2 (/.f64 1 (pow.f64 N 2)))))
(-.f64 (/.f64 1 N) (+.f64 (*.f64 1/4 (/.f64 1 (pow.f64 N 4))) (*.f64 1/2 (/.f64 1 (pow.f64 N 2)))))
(/.f64 1 N)
(-.f64 (/.f64 1 N) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (/.f64 1 N) (+.f64 (*.f64 1/4 (/.f64 1 (pow.f64 N 4))) (*.f64 1/2 (/.f64 1 (pow.f64 N 2)))))
(-.f64 (/.f64 1 N) (+.f64 (*.f64 1/4 (/.f64 1 (pow.f64 N 4))) (*.f64 1/2 (/.f64 1 (pow.f64 N 2)))))
(pow.f64 N 7)
(pow.f64 N 7)
(pow.f64 N 7)
(pow.f64 N 7)
(pow.f64 N 7)
(pow.f64 N 7)
(pow.f64 N 7)
(pow.f64 N 7)
(pow.f64 N 7)
(pow.f64 N 7)
(pow.f64 N 7)
(pow.f64 N 7)
(*.f64 1/4 (pow.f64 N 3))
(+.f64 (*.f64 1/4 (pow.f64 N 3)) (*.f64 1/2 (pow.f64 N 5)))
(+.f64 (*.f64 1/4 (pow.f64 N 3)) (*.f64 1/2 (pow.f64 N 5)))
(+.f64 (*.f64 1/4 (pow.f64 N 3)) (*.f64 1/2 (pow.f64 N 5)))
(*.f64 1/2 (pow.f64 N 5))
(+.f64 (*.f64 1/4 (pow.f64 N 3)) (*.f64 1/2 (pow.f64 N 5)))
(+.f64 (*.f64 1/4 (pow.f64 N 3)) (*.f64 1/2 (pow.f64 N 5)))
(+.f64 (*.f64 1/4 (pow.f64 N 3)) (*.f64 1/2 (pow.f64 N 5)))
(*.f64 1/2 (pow.f64 N 5))
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(-.f64 (exp.f64 (log1p.f64 (-.f64 (/.f64 1 N) (fma.f64 1/4 (pow.f64 N -4) (*.f64 1/2 (pow.f64 N -2)))))) 1)
(*.f64 1 (-.f64 (/.f64 1 N) (fma.f64 1/4 (pow.f64 N -4) (*.f64 1/2 (pow.f64 N -2)))))
(*.f64 (cbrt.f64 (-.f64 (/.f64 1 N) (fma.f64 1/4 (pow.f64 N -4) (*.f64 1/2 (pow.f64 N -2))))) (pow.f64 (cbrt.f64 (-.f64 (/.f64 1 N) (fma.f64 1/4 (pow.f64 N -4) (*.f64 1/2 (pow.f64 N -2))))) 2))
(*.f64 (cbrt.f64 (-.f64 (/.f64 1 N) (fma.f64 1/4 (pow.f64 N -4) (*.f64 1/2 (pow.f64 N -2))))) (pow.f64 (pow.f64 (-.f64 (/.f64 1 N) (fma.f64 1/4 (pow.f64 N -4) (*.f64 1/2 (pow.f64 N -2)))) 2) 1/3))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 (/.f64 1 N) (fma.f64 1/4 (pow.f64 N -4) (*.f64 1/2 (pow.f64 N -2))))) 2) (cbrt.f64 (-.f64 (/.f64 1 N) (fma.f64 1/4 (pow.f64 N -4) (*.f64 1/2 (pow.f64 N -2))))))
(*.f64 (sqrt.f64 (-.f64 (/.f64 1 N) (fma.f64 1/4 (pow.f64 N -4) (*.f64 1/2 (pow.f64 N -2))))) (sqrt.f64 (-.f64 (/.f64 1 N) (fma.f64 1/4 (pow.f64 N -4) (*.f64 1/2 (pow.f64 N -2))))))
(*.f64 (pow.f64 1 1/3) (-.f64 (/.f64 1 N) (fma.f64 1/4 (pow.f64 N -4) (*.f64 1/2 (pow.f64 N -2)))))
(*.f64 (pow.f64 (pow.f64 (-.f64 (/.f64 1 N) (fma.f64 1/4 (pow.f64 N -4) (*.f64 1/2 (pow.f64 N -2)))) 2) 1/3) (cbrt.f64 (-.f64 (/.f64 1 N) (fma.f64 1/4 (pow.f64 N -4) (*.f64 1/2 (pow.f64 N -2))))))
(*.f64 (pow.f64 (pow.f64 (-.f64 (/.f64 1 N) (fma.f64 1/4 (pow.f64 N -4) (*.f64 1/2 (pow.f64 N -2)))) 3/2) 1/3) (pow.f64 (pow.f64 (-.f64 (/.f64 1 N) (fma.f64 1/4 (pow.f64 N -4) (*.f64 1/2 (pow.f64 N -2)))) 3/2) 1/3))
(*.f64 (cbrt.f64 (pow.f64 (-.f64 (/.f64 1 N) (fma.f64 1/4 (pow.f64 N -4) (*.f64 1/2 (pow.f64 N -2)))) 3/2)) (cbrt.f64 (pow.f64 (-.f64 (/.f64 1 N) (fma.f64 1/4 (pow.f64 N -4) (*.f64 1/2 (pow.f64 N -2)))) 3/2)))
(/.f64 (-.f64 (pow.f64 N -2) (pow.f64 (fma.f64 1/4 (pow.f64 N -4) (*.f64 1/2 (pow.f64 N -2))) 2)) (+.f64 (/.f64 1 N) (fma.f64 1/4 (pow.f64 N -4) (*.f64 1/2 (pow.f64 N -2)))))
(/.f64 (-.f64 (pow.f64 N -3) (pow.f64 (fma.f64 1/4 (pow.f64 N -4) (*.f64 1/2 (pow.f64 N -2))) 3)) (+.f64 (pow.f64 N -2) (+.f64 (pow.f64 (fma.f64 1/4 (pow.f64 N -4) (*.f64 1/2 (pow.f64 N -2))) 2) (*.f64 (/.f64 1 N) (fma.f64 1/4 (pow.f64 N -4) (*.f64 1/2 (pow.f64 N -2)))))))
(log.f64 (exp.f64 (-.f64 (/.f64 1 N) (fma.f64 1/4 (pow.f64 N -4) (*.f64 1/2 (pow.f64 N -2))))))
(log.f64 (+.f64 1 (expm1.f64 (-.f64 (/.f64 1 N) (fma.f64 1/4 (pow.f64 N -4) (*.f64 1/2 (pow.f64 N -2)))))))
(cbrt.f64 (pow.f64 (-.f64 (/.f64 1 N) (fma.f64 1/4 (pow.f64 N -4) (*.f64 1/2 (pow.f64 N -2)))) 3))
(expm1.f64 (log1p.f64 (-.f64 (/.f64 1 N) (fma.f64 1/4 (pow.f64 N -4) (*.f64 1/2 (pow.f64 N -2))))))
(log1p.f64 (expm1.f64 (-.f64 (/.f64 1 N) (fma.f64 1/4 (pow.f64 N -4) (*.f64 1/2 (pow.f64 N -2))))))
(exp.f64 (log.f64 (-.f64 (/.f64 1 N) (fma.f64 1/4 (pow.f64 N -4) (*.f64 1/2 (pow.f64 N -2))))))
(exp.f64 (*.f64 (log.f64 (-.f64 (/.f64 1 N) (fma.f64 1/4 (pow.f64 N -4) (*.f64 1/2 (pow.f64 N -2))))) 1))
(fma.f64 1 (/.f64 1 N) (neg.f64 (fma.f64 1/4 (pow.f64 N -4) (*.f64 1/2 (pow.f64 N -2)))))
(fma.f64 (cbrt.f64 (pow.f64 N -2)) (/.f64 1 (cbrt.f64 N)) (neg.f64 (fma.f64 1/4 (pow.f64 N -4) (*.f64 1/2 (pow.f64 N -2)))))
(fma.f64 (sqrt.f64 (/.f64 1 N)) (sqrt.f64 (/.f64 1 N)) (neg.f64 (fma.f64 1/4 (pow.f64 N -4) (*.f64 1/2 (pow.f64 N -2)))))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (-.f64 (/.f64 1 N) (fma.f64 1/4 (pow.f64 N -4) (*.f64 1/2 (pow.f64 N -2)))) 3))) 1)
(*.f64 1 (pow.f64 (-.f64 (/.f64 1 N) (fma.f64 1/4 (pow.f64 N -4) (*.f64 1/2 (pow.f64 N -2)))) 3))
(*.f64 (-.f64 (/.f64 1 N) (fma.f64 1/4 (pow.f64 N -4) (*.f64 1/2 (pow.f64 N -2)))) (pow.f64 (-.f64 (/.f64 1 N) (fma.f64 1/4 (pow.f64 N -4) (*.f64 1/2 (pow.f64 N -2)))) 2))
(*.f64 (pow.f64 (-.f64 (/.f64 1 N) (fma.f64 1/4 (pow.f64 N -4) (*.f64 1/2 (pow.f64 N -2)))) 2) (-.f64 (/.f64 1 N) (fma.f64 1/4 (pow.f64 N -4) (*.f64 1/2 (pow.f64 N -2)))))
(*.f64 (pow.f64 (-.f64 (/.f64 1 N) (fma.f64 1/4 (pow.f64 N -4) (*.f64 1/2 (pow.f64 N -2)))) 3/2) (pow.f64 (-.f64 (/.f64 1 N) (fma.f64 1/4 (pow.f64 N -4) (*.f64 1/2 (pow.f64 N -2)))) 3/2))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (-.f64 (/.f64 1 N) (fma.f64 1/4 (pow.f64 N -4) (*.f64 1/2 (pow.f64 N -2))))) 2) 3) (-.f64 (/.f64 1 N) (fma.f64 1/4 (pow.f64 N -4) (*.f64 1/2 (pow.f64 N -2)))))
(*.f64 (pow.f64 (sqrt.f64 (-.f64 (/.f64 1 N) (fma.f64 1/4 (pow.f64 N -4) (*.f64 1/2 (pow.f64 N -2))))) 3) (pow.f64 (sqrt.f64 (-.f64 (/.f64 1 N) (fma.f64 1/4 (pow.f64 N -4) (*.f64 1/2 (pow.f64 N -2))))) 3))
(/.f64 (pow.f64 (-.f64 (pow.f64 N -3) (pow.f64 (fma.f64 1/4 (pow.f64 N -4) (*.f64 1/2 (pow.f64 N -2))) 3)) 3) (pow.f64 (+.f64 (pow.f64 N -2) (+.f64 (pow.f64 (fma.f64 1/4 (pow.f64 N -4) (*.f64 1/2 (pow.f64 N -2))) 2) (*.f64 (/.f64 1 N) (fma.f64 1/4 (pow.f64 N -4) (*.f64 1/2 (pow.f64 N -2)))))) 3))
(/.f64 (pow.f64 (-.f64 (pow.f64 N -2) (pow.f64 (fma.f64 1/4 (pow.f64 N -4) (*.f64 1/2 (pow.f64 N -2))) 2)) 3) (pow.f64 (+.f64 (/.f64 1 N) (fma.f64 1/4 (pow.f64 N -4) (*.f64 1/2 (pow.f64 N -2)))) 3))
(log.f64 (exp.f64 (pow.f64 (-.f64 (/.f64 1 N) (fma.f64 1/4 (pow.f64 N -4) (*.f64 1/2 (pow.f64 N -2)))) 3)))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (-.f64 (/.f64 1 N) (fma.f64 1/4 (pow.f64 N -4) (*.f64 1/2 (pow.f64 N -2)))) 3))))
(cbrt.f64 (pow.f64 (pow.f64 (-.f64 (/.f64 1 N) (fma.f64 1/4 (pow.f64 N -4) (*.f64 1/2 (pow.f64 N -2)))) 3) 3))
(expm1.f64 (log1p.f64 (pow.f64 (-.f64 (/.f64 1 N) (fma.f64 1/4 (pow.f64 N -4) (*.f64 1/2 (pow.f64 N -2)))) 3)))
(log1p.f64 (expm1.f64 (pow.f64 (-.f64 (/.f64 1 N) (fma.f64 1/4 (pow.f64 N -4) (*.f64 1/2 (pow.f64 N -2)))) 3)))
(exp.f64 (*.f64 3 (log.f64 (-.f64 (/.f64 1 N) (fma.f64 1/4 (pow.f64 N -4) (*.f64 1/2 (pow.f64 N -2)))))))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (-.f64 (/.f64 1 N) (fma.f64 1/4 (pow.f64 N -4) (*.f64 1/2 (pow.f64 N -2)))))) 1))
(+.f64 (/.f64 1 N) (neg.f64 (fma.f64 1/4 (pow.f64 N -4) (*.f64 1/2 (pow.f64 N -2)))))
(+.f64 (-.f64 (/.f64 1 N) (fma.f64 1/4 (pow.f64 N -4) (*.f64 1/2 (pow.f64 N -2)))) (fma.f64 (neg.f64 (sqrt.f64 (fma.f64 1/4 (pow.f64 N -4) (*.f64 1/2 (pow.f64 N -2))))) (sqrt.f64 (fma.f64 1/4 (pow.f64 N -4) (*.f64 1/2 (pow.f64 N -2)))) (fma.f64 1/4 (pow.f64 N -4) (*.f64 1/2 (pow.f64 N -2)))))
(+.f64 (fma.f64 1 (/.f64 1 N) (neg.f64 (*.f64 (fma.f64 1/4 (pow.f64 N -4) (*.f64 1/2 (pow.f64 N -2))) 1))) (fma.f64 (neg.f64 (fma.f64 1/4 (pow.f64 N -4) (*.f64 1/2 (pow.f64 N -2)))) 1 (*.f64 (fma.f64 1/4 (pow.f64 N -4) (*.f64 1/2 (pow.f64 N -2))) 1)))
(+.f64 (fma.f64 1 (/.f64 1 N) (neg.f64 (*.f64 (cbrt.f64 (fma.f64 1/4 (pow.f64 N -4) (*.f64 1/2 (pow.f64 N -2)))) (pow.f64 (cbrt.f64 (fma.f64 1/4 (pow.f64 N -4) (*.f64 1/2 (pow.f64 N -2)))) 2)))) (fma.f64 (neg.f64 (cbrt.f64 (fma.f64 1/4 (pow.f64 N -4) (*.f64 1/2 (pow.f64 N -2))))) (pow.f64 (cbrt.f64 (fma.f64 1/4 (pow.f64 N -4) (*.f64 1/2 (pow.f64 N -2)))) 2) (*.f64 (cbrt.f64 (fma.f64 1/4 (pow.f64 N -4) (*.f64 1/2 (pow.f64 N -2)))) (pow.f64 (cbrt.f64 (fma.f64 1/4 (pow.f64 N -4) (*.f64 1/2 (pow.f64 N -2)))) 2))))
(+.f64 (fma.f64 (cbrt.f64 (pow.f64 N -2)) (/.f64 1 (cbrt.f64 N)) (neg.f64 (*.f64 (fma.f64 1/4 (pow.f64 N -4) (*.f64 1/2 (pow.f64 N -2))) 1))) (fma.f64 (neg.f64 (fma.f64 1/4 (pow.f64 N -4) (*.f64 1/2 (pow.f64 N -2)))) 1 (*.f64 (fma.f64 1/4 (pow.f64 N -4) (*.f64 1/2 (pow.f64 N -2))) 1)))
(+.f64 (fma.f64 (cbrt.f64 (pow.f64 N -2)) (/.f64 1 (cbrt.f64 N)) (neg.f64 (*.f64 (cbrt.f64 (fma.f64 1/4 (pow.f64 N -4) (*.f64 1/2 (pow.f64 N -2)))) (pow.f64 (cbrt.f64 (fma.f64 1/4 (pow.f64 N -4) (*.f64 1/2 (pow.f64 N -2)))) 2)))) (fma.f64 (neg.f64 (cbrt.f64 (fma.f64 1/4 (pow.f64 N -4) (*.f64 1/2 (pow.f64 N -2))))) (pow.f64 (cbrt.f64 (fma.f64 1/4 (pow.f64 N -4) (*.f64 1/2 (pow.f64 N -2)))) 2) (*.f64 (cbrt.f64 (fma.f64 1/4 (pow.f64 N -4) (*.f64 1/2 (pow.f64 N -2)))) (pow.f64 (cbrt.f64 (fma.f64 1/4 (pow.f64 N -4) (*.f64 1/2 (pow.f64 N -2)))) 2))))
(+.f64 (fma.f64 (sqrt.f64 (/.f64 1 N)) (sqrt.f64 (/.f64 1 N)) (neg.f64 (*.f64 (fma.f64 1/4 (pow.f64 N -4) (*.f64 1/2 (pow.f64 N -2))) 1))) (fma.f64 (neg.f64 (fma.f64 1/4 (pow.f64 N -4) (*.f64 1/2 (pow.f64 N -2)))) 1 (*.f64 (fma.f64 1/4 (pow.f64 N -4) (*.f64 1/2 (pow.f64 N -2))) 1)))
(+.f64 (fma.f64 (sqrt.f64 (/.f64 1 N)) (sqrt.f64 (/.f64 1 N)) (neg.f64 (*.f64 (cbrt.f64 (fma.f64 1/4 (pow.f64 N -4) (*.f64 1/2 (pow.f64 N -2)))) (pow.f64 (cbrt.f64 (fma.f64 1/4 (pow.f64 N -4) (*.f64 1/2 (pow.f64 N -2)))) 2)))) (fma.f64 (neg.f64 (cbrt.f64 (fma.f64 1/4 (pow.f64 N -4) (*.f64 1/2 (pow.f64 N -2))))) (pow.f64 (cbrt.f64 (fma.f64 1/4 (pow.f64 N -4) (*.f64 1/2 (pow.f64 N -2)))) 2) (*.f64 (cbrt.f64 (fma.f64 1/4 (pow.f64 N -4) (*.f64 1/2 (pow.f64 N -2)))) (pow.f64 (cbrt.f64 (fma.f64 1/4 (pow.f64 N -4) (*.f64 1/2 (pow.f64 N -2)))) 2))))
(*.f64 1 (-.f64 (/.f64 1 N) (fma.f64 1/4 (pow.f64 N -4) (*.f64 1/2 (pow.f64 N -2)))))
(*.f64 (cbrt.f64 (-.f64 (/.f64 1 N) (fma.f64 1/4 (pow.f64 N -4) (*.f64 1/2 (pow.f64 N -2))))) (pow.f64 (cbrt.f64 (-.f64 (/.f64 1 N) (fma.f64 1/4 (pow.f64 N -4) (*.f64 1/2 (pow.f64 N -2))))) 2))
(*.f64 (cbrt.f64 (-.f64 (/.f64 1 N) (fma.f64 1/4 (pow.f64 N -4) (*.f64 1/2 (pow.f64 N -2))))) (pow.f64 (pow.f64 (-.f64 (/.f64 1 N) (fma.f64 1/4 (pow.f64 N -4) (*.f64 1/2 (pow.f64 N -2)))) 2) 1/3))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 (/.f64 1 N) (fma.f64 1/4 (pow.f64 N -4) (*.f64 1/2 (pow.f64 N -2))))) 2) (cbrt.f64 (-.f64 (/.f64 1 N) (fma.f64 1/4 (pow.f64 N -4) (*.f64 1/2 (pow.f64 N -2))))))
(*.f64 (sqrt.f64 (-.f64 (/.f64 1 N) (fma.f64 1/4 (pow.f64 N -4) (*.f64 1/2 (pow.f64 N -2))))) (sqrt.f64 (-.f64 (/.f64 1 N) (fma.f64 1/4 (pow.f64 N -4) (*.f64 1/2 (pow.f64 N -2))))))
(*.f64 (pow.f64 1 1/3) (-.f64 (/.f64 1 N) (fma.f64 1/4 (pow.f64 N -4) (*.f64 1/2 (pow.f64 N -2)))))
(*.f64 (pow.f64 (pow.f64 (-.f64 (/.f64 1 N) (fma.f64 1/4 (pow.f64 N -4) (*.f64 1/2 (pow.f64 N -2)))) 2) 1/3) (cbrt.f64 (-.f64 (/.f64 1 N) (fma.f64 1/4 (pow.f64 N -4) (*.f64 1/2 (pow.f64 N -2))))))
(*.f64 (pow.f64 (pow.f64 (-.f64 (/.f64 1 N) (fma.f64 1/4 (pow.f64 N -4) (*.f64 1/2 (pow.f64 N -2)))) 3/2) 1/3) (pow.f64 (pow.f64 (-.f64 (/.f64 1 N) (fma.f64 1/4 (pow.f64 N -4) (*.f64 1/2 (pow.f64 N -2)))) 3/2) 1/3))
(*.f64 (cbrt.f64 (pow.f64 (-.f64 (/.f64 1 N) (fma.f64 1/4 (pow.f64 N -4) (*.f64 1/2 (pow.f64 N -2)))) 3/2)) (cbrt.f64 (pow.f64 (-.f64 (/.f64 1 N) (fma.f64 1/4 (pow.f64 N -4) (*.f64 1/2 (pow.f64 N -2)))) 3/2)))
(/.f64 (-.f64 (pow.f64 N -2) (pow.f64 (fma.f64 1/4 (pow.f64 N -4) (*.f64 1/2 (pow.f64 N -2))) 2)) (+.f64 (/.f64 1 N) (fma.f64 1/4 (pow.f64 N -4) (*.f64 1/2 (pow.f64 N -2)))))
(/.f64 (-.f64 (pow.f64 N -3) (pow.f64 (fma.f64 1/4 (pow.f64 N -4) (*.f64 1/2 (pow.f64 N -2))) 3)) (+.f64 (pow.f64 N -2) (+.f64 (pow.f64 (fma.f64 1/4 (pow.f64 N -4) (*.f64 1/2 (pow.f64 N -2))) 2) (*.f64 (/.f64 1 N) (fma.f64 1/4 (pow.f64 N -4) (*.f64 1/2 (pow.f64 N -2)))))))
(pow.f64 (-.f64 (/.f64 1 N) (fma.f64 1/4 (pow.f64 N -4) (*.f64 1/2 (pow.f64 N -2)))) 1)
(pow.f64 (pow.f64 (-.f64 (/.f64 1 N) (fma.f64 1/4 (pow.f64 N -4) (*.f64 1/2 (pow.f64 N -2)))) 3) 1/3)
(pow.f64 (cbrt.f64 (-.f64 (/.f64 1 N) (fma.f64 1/4 (pow.f64 N -4) (*.f64 1/2 (pow.f64 N -2))))) 3)
(pow.f64 (pow.f64 (-.f64 (/.f64 1 N) (fma.f64 1/4 (pow.f64 N -4) (*.f64 1/2 (pow.f64 N -2)))) 6) 1/6)
(pow.f64 (sqrt.f64 (-.f64 (/.f64 1 N) (fma.f64 1/4 (pow.f64 N -4) (*.f64 1/2 (pow.f64 N -2))))) 2)
(log.f64 (exp.f64 (-.f64 (/.f64 1 N) (fma.f64 1/4 (pow.f64 N -4) (*.f64 1/2 (pow.f64 N -2))))))
(log.f64 (+.f64 1 (expm1.f64 (-.f64 (/.f64 1 N) (fma.f64 1/4 (pow.f64 N -4) (*.f64 1/2 (pow.f64 N -2)))))))
(cbrt.f64 (pow.f64 (-.f64 (/.f64 1 N) (fma.f64 1/4 (pow.f64 N -4) (*.f64 1/2 (pow.f64 N -2)))) 3))
(expm1.f64 (log1p.f64 (-.f64 (/.f64 1 N) (fma.f64 1/4 (pow.f64 N -4) (*.f64 1/2 (pow.f64 N -2))))))
(log1p.f64 (expm1.f64 (-.f64 (/.f64 1 N) (fma.f64 1/4 (pow.f64 N -4) (*.f64 1/2 (pow.f64 N -2))))))
(exp.f64 (log.f64 (-.f64 (/.f64 1 N) (fma.f64 1/4 (pow.f64 N -4) (*.f64 1/2 (pow.f64 N -2))))))
(exp.f64 (*.f64 (log.f64 (-.f64 (/.f64 1 N) (fma.f64 1/4 (pow.f64 N -4) (*.f64 1/2 (pow.f64 N -2))))) 1))
(fma.f64 1 (/.f64 1 N) (neg.f64 (fma.f64 1/4 (pow.f64 N -4) (*.f64 1/2 (pow.f64 N -2)))))
(fma.f64 (cbrt.f64 (pow.f64 N -2)) (/.f64 1 (cbrt.f64 N)) (neg.f64 (fma.f64 1/4 (pow.f64 N -4) (*.f64 1/2 (pow.f64 N -2)))))
(fma.f64 (sqrt.f64 (/.f64 1 N)) (sqrt.f64 (/.f64 1 N)) (neg.f64 (fma.f64 1/4 (pow.f64 N -4) (*.f64 1/2 (pow.f64 N -2)))))
Outputs
(/.f64 -1/4 (pow.f64 N 4))
(neg.f64 (+.f64 (*.f64 1/2 (/.f64 1 (pow.f64 N 2))) (*.f64 1/4 (/.f64 1 (pow.f64 N 4)))))
(neg.f64 (+.f64 (/.f64 1/2 (pow.f64 N 2)) (/.f64 1/4 (pow.f64 N 4))))
(+.f64 (/.f64 -1/2 (pow.f64 N 2)) (/.f64 -1/4 (pow.f64 N 4)))
(-.f64 (/.f64 1 N) (+.f64 (*.f64 1/2 (/.f64 1 (pow.f64 N 2))) (*.f64 1/4 (/.f64 1 (pow.f64 N 4)))))
(-.f64 (-.f64 (/.f64 1 N) (/.f64 1/2 (pow.f64 N 2))) (/.f64 1/4 (pow.f64 N 4)))
(+.f64 (/.f64 1 N) (+.f64 (/.f64 -1/2 (pow.f64 N 2)) (/.f64 -1/4 (pow.f64 N 4))))
(+.f64 (-.f64 (/.f64 1 N) (/.f64 1/2 (pow.f64 N 2))) (/.f64 -1/4 (pow.f64 N 4)))
(-.f64 (/.f64 1 N) (+.f64 (*.f64 1/2 (/.f64 1 (pow.f64 N 2))) (*.f64 1/4 (/.f64 1 (pow.f64 N 4)))))
(-.f64 (-.f64 (/.f64 1 N) (/.f64 1/2 (pow.f64 N 2))) (/.f64 1/4 (pow.f64 N 4)))
(+.f64 (/.f64 1 N) (+.f64 (/.f64 -1/2 (pow.f64 N 2)) (/.f64 -1/4 (pow.f64 N 4))))
(+.f64 (-.f64 (/.f64 1 N) (/.f64 1/2 (pow.f64 N 2))) (/.f64 -1/4 (pow.f64 N 4)))
(/.f64 1 N)
(-.f64 (/.f64 1 N) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (/.f64 1 N) (/.f64 1/2 (pow.f64 N 2)))
(+.f64 (/.f64 1 N) (/.f64 -1/2 (pow.f64 N 2)))
(-.f64 (/.f64 1 N) (+.f64 (*.f64 1/4 (/.f64 1 (pow.f64 N 4))) (*.f64 1/2 (/.f64 1 (pow.f64 N 2)))))
(-.f64 (-.f64 (/.f64 1 N) (/.f64 1/2 (pow.f64 N 2))) (/.f64 1/4 (pow.f64 N 4)))
(+.f64 (/.f64 1 N) (+.f64 (/.f64 -1/2 (pow.f64 N 2)) (/.f64 -1/4 (pow.f64 N 4))))
(+.f64 (-.f64 (/.f64 1 N) (/.f64 1/2 (pow.f64 N 2))) (/.f64 -1/4 (pow.f64 N 4)))
(-.f64 (/.f64 1 N) (+.f64 (*.f64 1/4 (/.f64 1 (pow.f64 N 4))) (*.f64 1/2 (/.f64 1 (pow.f64 N 2)))))
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(/.f64 (pow.f64 (-.f64 (pow.f64 N -2) (pow.f64 (fma.f64 1/4 (pow.f64 N -4) (*.f64 1/2 (pow.f64 N -2))) 2)) 3) (pow.f64 (+.f64 (/.f64 1 N) (fma.f64 1/4 (pow.f64 N -4) (*.f64 1/2 (pow.f64 N -2)))) 3))
(log.f64 (exp.f64 (pow.f64 (-.f64 (/.f64 1 N) (fma.f64 1/4 (pow.f64 N -4) (*.f64 1/2 (pow.f64 N -2)))) 3)))
(pow.f64 (-.f64 (/.f64 1 N) (fma.f64 1/4 (pow.f64 N -4) (*.f64 1/2 (pow.f64 N -2)))) 3)
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (-.f64 (/.f64 1 N) (fma.f64 1/4 (pow.f64 N -4) (*.f64 1/2 (pow.f64 N -2)))) 3))))
(pow.f64 (-.f64 (/.f64 1 N) (fma.f64 1/4 (pow.f64 N -4) (*.f64 1/2 (pow.f64 N -2)))) 3)
(cbrt.f64 (pow.f64 (pow.f64 (-.f64 (/.f64 1 N) (fma.f64 1/4 (pow.f64 N -4) (*.f64 1/2 (pow.f64 N -2)))) 3) 3))
(pow.f64 (-.f64 (/.f64 1 N) (fma.f64 1/4 (pow.f64 N -4) (*.f64 1/2 (pow.f64 N -2)))) 3)
(expm1.f64 (log1p.f64 (pow.f64 (-.f64 (/.f64 1 N) (fma.f64 1/4 (pow.f64 N -4) (*.f64 1/2 (pow.f64 N -2)))) 3)))
(+.f64 0 (pow.f64 (-.f64 (/.f64 1 N) (fma.f64 1/4 (pow.f64 N -4) (*.f64 1/2 (pow.f64 N -2)))) 3))
(log1p.f64 (expm1.f64 (pow.f64 (-.f64 (/.f64 1 N) (fma.f64 1/4 (pow.f64 N -4) (*.f64 1/2 (pow.f64 N -2)))) 3)))
(pow.f64 (-.f64 (/.f64 1 N) (fma.f64 1/4 (pow.f64 N -4) (*.f64 1/2 (pow.f64 N -2)))) 3)
(exp.f64 (*.f64 3 (log.f64 (-.f64 (/.f64 1 N) (fma.f64 1/4 (pow.f64 N -4) (*.f64 1/2 (pow.f64 N -2)))))))
(pow.f64 (-.f64 (/.f64 1 N) (fma.f64 1/4 (pow.f64 N -4) (*.f64 1/2 (pow.f64 N -2)))) 3)
(exp.f64 (*.f64 (*.f64 3 (log.f64 (-.f64 (/.f64 1 N) (fma.f64 1/4 (pow.f64 N -4) (*.f64 1/2 (pow.f64 N -2)))))) 1))
(pow.f64 (-.f64 (/.f64 1 N) (fma.f64 1/4 (pow.f64 N -4) (*.f64 1/2 (pow.f64 N -2)))) 3)
(+.f64 (/.f64 1 N) (neg.f64 (fma.f64 1/4 (pow.f64 N -4) (*.f64 1/2 (pow.f64 N -2)))))
(-.f64 (/.f64 1 N) (fma.f64 1/4 (pow.f64 N -4) (*.f64 1/2 (pow.f64 N -2))))
(+.f64 (-.f64 (/.f64 1 N) (fma.f64 1/4 (pow.f64 N -4) (*.f64 1/2 (pow.f64 N -2)))) (fma.f64 (neg.f64 (sqrt.f64 (fma.f64 1/4 (pow.f64 N -4) (*.f64 1/2 (pow.f64 N -2))))) (sqrt.f64 (fma.f64 1/4 (pow.f64 N -4) (*.f64 1/2 (pow.f64 N -2)))) (fma.f64 1/4 (pow.f64 N -4) (*.f64 1/2 (pow.f64 N -2)))))
(-.f64 (/.f64 1 N) (fma.f64 1/4 (pow.f64 N -4) (*.f64 1/2 (pow.f64 N -2))))
(+.f64 (fma.f64 1 (/.f64 1 N) (neg.f64 (*.f64 (fma.f64 1/4 (pow.f64 N -4) (*.f64 1/2 (pow.f64 N -2))) 1))) (fma.f64 (neg.f64 (fma.f64 1/4 (pow.f64 N -4) (*.f64 1/2 (pow.f64 N -2)))) 1 (*.f64 (fma.f64 1/4 (pow.f64 N -4) (*.f64 1/2 (pow.f64 N -2))) 1)))
(-.f64 (/.f64 1 N) (fma.f64 1/4 (pow.f64 N -4) (*.f64 1/2 (pow.f64 N -2))))
(+.f64 (fma.f64 1 (/.f64 1 N) (neg.f64 (*.f64 (cbrt.f64 (fma.f64 1/4 (pow.f64 N -4) (*.f64 1/2 (pow.f64 N -2)))) (pow.f64 (cbrt.f64 (fma.f64 1/4 (pow.f64 N -4) (*.f64 1/2 (pow.f64 N -2)))) 2)))) (fma.f64 (neg.f64 (cbrt.f64 (fma.f64 1/4 (pow.f64 N -4) (*.f64 1/2 (pow.f64 N -2))))) (pow.f64 (cbrt.f64 (fma.f64 1/4 (pow.f64 N -4) (*.f64 1/2 (pow.f64 N -2)))) 2) (*.f64 (cbrt.f64 (fma.f64 1/4 (pow.f64 N -4) (*.f64 1/2 (pow.f64 N -2)))) (pow.f64 (cbrt.f64 (fma.f64 1/4 (pow.f64 N -4) (*.f64 1/2 (pow.f64 N -2)))) 2))))
(-.f64 (/.f64 1 N) (fma.f64 1/4 (pow.f64 N -4) (*.f64 1/2 (pow.f64 N -2))))
(+.f64 (fma.f64 (cbrt.f64 (pow.f64 N -2)) (/.f64 1 (cbrt.f64 N)) (neg.f64 (*.f64 (fma.f64 1/4 (pow.f64 N -4) (*.f64 1/2 (pow.f64 N -2))) 1))) (fma.f64 (neg.f64 (fma.f64 1/4 (pow.f64 N -4) (*.f64 1/2 (pow.f64 N -2)))) 1 (*.f64 (fma.f64 1/4 (pow.f64 N -4) (*.f64 1/2 (pow.f64 N -2))) 1)))
(+.f64 (+.f64 (neg.f64 (fma.f64 1/4 (pow.f64 N -4) (*.f64 1/2 (pow.f64 N -2)))) (fma.f64 1/4 (pow.f64 N -4) (*.f64 1/2 (pow.f64 N -2)))) (fma.f64 (cbrt.f64 (pow.f64 N -2)) (/.f64 1 (cbrt.f64 N)) (neg.f64 (fma.f64 1/4 (pow.f64 N -4) (*.f64 1/2 (pow.f64 N -2))))))
(+.f64 (*.f64 0 (fma.f64 1/4 (pow.f64 N -4) (*.f64 1/2 (pow.f64 N -2)))) (-.f64 (*.f64 (cbrt.f64 (pow.f64 N -2)) (/.f64 1 (cbrt.f64 N))) (fma.f64 1/4 (pow.f64 N -4) (*.f64 1/2 (pow.f64 N -2)))))
(-.f64 (/.f64 (cbrt.f64 (pow.f64 N -2)) (cbrt.f64 N)) (fma.f64 1/4 (pow.f64 N -4) (*.f64 1/2 (pow.f64 N -2))))
(+.f64 (fma.f64 (cbrt.f64 (pow.f64 N -2)) (/.f64 1 (cbrt.f64 N)) (neg.f64 (*.f64 (cbrt.f64 (fma.f64 1/4 (pow.f64 N -4) (*.f64 1/2 (pow.f64 N -2)))) (pow.f64 (cbrt.f64 (fma.f64 1/4 (pow.f64 N -4) (*.f64 1/2 (pow.f64 N -2)))) 2)))) (fma.f64 (neg.f64 (cbrt.f64 (fma.f64 1/4 (pow.f64 N -4) (*.f64 1/2 (pow.f64 N -2))))) (pow.f64 (cbrt.f64 (fma.f64 1/4 (pow.f64 N -4) (*.f64 1/2 (pow.f64 N -2)))) 2) (*.f64 (cbrt.f64 (fma.f64 1/4 (pow.f64 N -4) (*.f64 1/2 (pow.f64 N -2)))) (pow.f64 (cbrt.f64 (fma.f64 1/4 (pow.f64 N -4) (*.f64 1/2 (pow.f64 N -2)))) 2))))
(+.f64 (+.f64 (neg.f64 (fma.f64 1/4 (pow.f64 N -4) (*.f64 1/2 (pow.f64 N -2)))) (fma.f64 1/4 (pow.f64 N -4) (*.f64 1/2 (pow.f64 N -2)))) (fma.f64 (cbrt.f64 (pow.f64 N -2)) (/.f64 1 (cbrt.f64 N)) (neg.f64 (fma.f64 1/4 (pow.f64 N -4) (*.f64 1/2 (pow.f64 N -2))))))
(+.f64 (*.f64 0 (fma.f64 1/4 (pow.f64 N -4) (*.f64 1/2 (pow.f64 N -2)))) (-.f64 (*.f64 (cbrt.f64 (pow.f64 N -2)) (/.f64 1 (cbrt.f64 N))) (fma.f64 1/4 (pow.f64 N -4) (*.f64 1/2 (pow.f64 N -2)))))
(-.f64 (/.f64 (cbrt.f64 (pow.f64 N -2)) (cbrt.f64 N)) (fma.f64 1/4 (pow.f64 N -4) (*.f64 1/2 (pow.f64 N -2))))
(+.f64 (fma.f64 (sqrt.f64 (/.f64 1 N)) (sqrt.f64 (/.f64 1 N)) (neg.f64 (*.f64 (fma.f64 1/4 (pow.f64 N -4) (*.f64 1/2 (pow.f64 N -2))) 1))) (fma.f64 (neg.f64 (fma.f64 1/4 (pow.f64 N -4) (*.f64 1/2 (pow.f64 N -2)))) 1 (*.f64 (fma.f64 1/4 (pow.f64 N -4) (*.f64 1/2 (pow.f64 N -2))) 1)))
(-.f64 (/.f64 1 N) (fma.f64 1/4 (pow.f64 N -4) (*.f64 1/2 (pow.f64 N -2))))
(+.f64 (fma.f64 (sqrt.f64 (/.f64 1 N)) (sqrt.f64 (/.f64 1 N)) (neg.f64 (*.f64 (cbrt.f64 (fma.f64 1/4 (pow.f64 N -4) (*.f64 1/2 (pow.f64 N -2)))) (pow.f64 (cbrt.f64 (fma.f64 1/4 (pow.f64 N -4) (*.f64 1/2 (pow.f64 N -2)))) 2)))) (fma.f64 (neg.f64 (cbrt.f64 (fma.f64 1/4 (pow.f64 N -4) (*.f64 1/2 (pow.f64 N -2))))) (pow.f64 (cbrt.f64 (fma.f64 1/4 (pow.f64 N -4) (*.f64 1/2 (pow.f64 N -2)))) 2) (*.f64 (cbrt.f64 (fma.f64 1/4 (pow.f64 N -4) (*.f64 1/2 (pow.f64 N -2)))) (pow.f64 (cbrt.f64 (fma.f64 1/4 (pow.f64 N -4) (*.f64 1/2 (pow.f64 N -2)))) 2))))
(-.f64 (/.f64 1 N) (fma.f64 1/4 (pow.f64 N -4) (*.f64 1/2 (pow.f64 N -2))))
(*.f64 1 (-.f64 (/.f64 1 N) (fma.f64 1/4 (pow.f64 N -4) (*.f64 1/2 (pow.f64 N -2)))))
(-.f64 (/.f64 1 N) (fma.f64 1/4 (pow.f64 N -4) (*.f64 1/2 (pow.f64 N -2))))
(*.f64 (cbrt.f64 (-.f64 (/.f64 1 N) (fma.f64 1/4 (pow.f64 N -4) (*.f64 1/2 (pow.f64 N -2))))) (pow.f64 (cbrt.f64 (-.f64 (/.f64 1 N) (fma.f64 1/4 (pow.f64 N -4) (*.f64 1/2 (pow.f64 N -2))))) 2))
(-.f64 (/.f64 1 N) (fma.f64 1/4 (pow.f64 N -4) (*.f64 1/2 (pow.f64 N -2))))
(*.f64 (cbrt.f64 (-.f64 (/.f64 1 N) (fma.f64 1/4 (pow.f64 N -4) (*.f64 1/2 (pow.f64 N -2))))) (pow.f64 (pow.f64 (-.f64 (/.f64 1 N) (fma.f64 1/4 (pow.f64 N -4) (*.f64 1/2 (pow.f64 N -2)))) 2) 1/3))
(-.f64 (/.f64 1 N) (fma.f64 1/4 (pow.f64 N -4) (*.f64 1/2 (pow.f64 N -2))))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 (/.f64 1 N) (fma.f64 1/4 (pow.f64 N -4) (*.f64 1/2 (pow.f64 N -2))))) 2) (cbrt.f64 (-.f64 (/.f64 1 N) (fma.f64 1/4 (pow.f64 N -4) (*.f64 1/2 (pow.f64 N -2))))))
(-.f64 (/.f64 1 N) (fma.f64 1/4 (pow.f64 N -4) (*.f64 1/2 (pow.f64 N -2))))
(*.f64 (sqrt.f64 (-.f64 (/.f64 1 N) (fma.f64 1/4 (pow.f64 N -4) (*.f64 1/2 (pow.f64 N -2))))) (sqrt.f64 (-.f64 (/.f64 1 N) (fma.f64 1/4 (pow.f64 N -4) (*.f64 1/2 (pow.f64 N -2))))))
(-.f64 (/.f64 1 N) (fma.f64 1/4 (pow.f64 N -4) (*.f64 1/2 (pow.f64 N -2))))
(*.f64 (pow.f64 1 1/3) (-.f64 (/.f64 1 N) (fma.f64 1/4 (pow.f64 N -4) (*.f64 1/2 (pow.f64 N -2)))))
(-.f64 (/.f64 1 N) (fma.f64 1/4 (pow.f64 N -4) (*.f64 1/2 (pow.f64 N -2))))
(*.f64 (pow.f64 (pow.f64 (-.f64 (/.f64 1 N) (fma.f64 1/4 (pow.f64 N -4) (*.f64 1/2 (pow.f64 N -2)))) 2) 1/3) (cbrt.f64 (-.f64 (/.f64 1 N) (fma.f64 1/4 (pow.f64 N -4) (*.f64 1/2 (pow.f64 N -2))))))
(-.f64 (/.f64 1 N) (fma.f64 1/4 (pow.f64 N -4) (*.f64 1/2 (pow.f64 N -2))))
(*.f64 (pow.f64 (pow.f64 (-.f64 (/.f64 1 N) (fma.f64 1/4 (pow.f64 N -4) (*.f64 1/2 (pow.f64 N -2)))) 3/2) 1/3) (pow.f64 (pow.f64 (-.f64 (/.f64 1 N) (fma.f64 1/4 (pow.f64 N -4) (*.f64 1/2 (pow.f64 N -2)))) 3/2) 1/3))
(*.f64 (cbrt.f64 (pow.f64 (-.f64 (/.f64 1 N) (fma.f64 1/4 (pow.f64 N -4) (*.f64 1/2 (pow.f64 N -2)))) 3/2)) (cbrt.f64 (pow.f64 (-.f64 (/.f64 1 N) (fma.f64 1/4 (pow.f64 N -4) (*.f64 1/2 (pow.f64 N -2)))) 3/2)))
(*.f64 (cbrt.f64 (pow.f64 (-.f64 (/.f64 1 N) (fma.f64 1/4 (pow.f64 N -4) (*.f64 1/2 (pow.f64 N -2)))) 3/2)) (cbrt.f64 (pow.f64 (-.f64 (/.f64 1 N) (fma.f64 1/4 (pow.f64 N -4) (*.f64 1/2 (pow.f64 N -2)))) 3/2)))
(/.f64 (-.f64 (pow.f64 N -2) (pow.f64 (fma.f64 1/4 (pow.f64 N -4) (*.f64 1/2 (pow.f64 N -2))) 2)) (+.f64 (/.f64 1 N) (fma.f64 1/4 (pow.f64 N -4) (*.f64 1/2 (pow.f64 N -2)))))
(/.f64 (-.f64 (pow.f64 N -3) (pow.f64 (fma.f64 1/4 (pow.f64 N -4) (*.f64 1/2 (pow.f64 N -2))) 3)) (+.f64 (pow.f64 N -2) (+.f64 (pow.f64 (fma.f64 1/4 (pow.f64 N -4) (*.f64 1/2 (pow.f64 N -2))) 2) (*.f64 (/.f64 1 N) (fma.f64 1/4 (pow.f64 N -4) (*.f64 1/2 (pow.f64 N -2)))))))
(/.f64 (-.f64 (pow.f64 N -3) (pow.f64 (fma.f64 1/4 (pow.f64 N -4) (*.f64 1/2 (pow.f64 N -2))) 3)) (+.f64 (pow.f64 N -2) (+.f64 (pow.f64 (fma.f64 1/4 (pow.f64 N -4) (*.f64 1/2 (pow.f64 N -2))) 2) (/.f64 (fma.f64 1/4 (pow.f64 N -4) (*.f64 1/2 (pow.f64 N -2))) N))))
(/.f64 (-.f64 (pow.f64 N -3) (pow.f64 (fma.f64 1/4 (pow.f64 N -4) (*.f64 1/2 (pow.f64 N -2))) 3)) (+.f64 (/.f64 (fma.f64 1/4 (pow.f64 N -4) (*.f64 1/2 (pow.f64 N -2))) N) (+.f64 (pow.f64 N -2) (pow.f64 (fma.f64 1/4 (pow.f64 N -4) (*.f64 1/2 (pow.f64 N -2))) 2))))
(pow.f64 (-.f64 (/.f64 1 N) (fma.f64 1/4 (pow.f64 N -4) (*.f64 1/2 (pow.f64 N -2)))) 1)
(-.f64 (/.f64 1 N) (fma.f64 1/4 (pow.f64 N -4) (*.f64 1/2 (pow.f64 N -2))))
(pow.f64 (pow.f64 (-.f64 (/.f64 1 N) (fma.f64 1/4 (pow.f64 N -4) (*.f64 1/2 (pow.f64 N -2)))) 3) 1/3)
(-.f64 (/.f64 1 N) (fma.f64 1/4 (pow.f64 N -4) (*.f64 1/2 (pow.f64 N -2))))
(pow.f64 (cbrt.f64 (-.f64 (/.f64 1 N) (fma.f64 1/4 (pow.f64 N -4) (*.f64 1/2 (pow.f64 N -2))))) 3)
(-.f64 (/.f64 1 N) (fma.f64 1/4 (pow.f64 N -4) (*.f64 1/2 (pow.f64 N -2))))
(pow.f64 (pow.f64 (-.f64 (/.f64 1 N) (fma.f64 1/4 (pow.f64 N -4) (*.f64 1/2 (pow.f64 N -2)))) 6) 1/6)
(pow.f64 (sqrt.f64 (-.f64 (/.f64 1 N) (fma.f64 1/4 (pow.f64 N -4) (*.f64 1/2 (pow.f64 N -2))))) 2)
(-.f64 (/.f64 1 N) (fma.f64 1/4 (pow.f64 N -4) (*.f64 1/2 (pow.f64 N -2))))
(log.f64 (exp.f64 (-.f64 (/.f64 1 N) (fma.f64 1/4 (pow.f64 N -4) (*.f64 1/2 (pow.f64 N -2))))))
(-.f64 (/.f64 1 N) (fma.f64 1/4 (pow.f64 N -4) (*.f64 1/2 (pow.f64 N -2))))
(log.f64 (+.f64 1 (expm1.f64 (-.f64 (/.f64 1 N) (fma.f64 1/4 (pow.f64 N -4) (*.f64 1/2 (pow.f64 N -2)))))))
(-.f64 (/.f64 1 N) (fma.f64 1/4 (pow.f64 N -4) (*.f64 1/2 (pow.f64 N -2))))
(cbrt.f64 (pow.f64 (-.f64 (/.f64 1 N) (fma.f64 1/4 (pow.f64 N -4) (*.f64 1/2 (pow.f64 N -2)))) 3))
(-.f64 (/.f64 1 N) (fma.f64 1/4 (pow.f64 N -4) (*.f64 1/2 (pow.f64 N -2))))
(expm1.f64 (log1p.f64 (-.f64 (/.f64 1 N) (fma.f64 1/4 (pow.f64 N -4) (*.f64 1/2 (pow.f64 N -2))))))
(-.f64 (/.f64 1 N) (fma.f64 1/4 (pow.f64 N -4) (*.f64 1/2 (pow.f64 N -2))))
(log1p.f64 (expm1.f64 (-.f64 (/.f64 1 N) (fma.f64 1/4 (pow.f64 N -4) (*.f64 1/2 (pow.f64 N -2))))))
(-.f64 (/.f64 1 N) (fma.f64 1/4 (pow.f64 N -4) (*.f64 1/2 (pow.f64 N -2))))
(exp.f64 (log.f64 (-.f64 (/.f64 1 N) (fma.f64 1/4 (pow.f64 N -4) (*.f64 1/2 (pow.f64 N -2))))))
(-.f64 (/.f64 1 N) (fma.f64 1/4 (pow.f64 N -4) (*.f64 1/2 (pow.f64 N -2))))
(exp.f64 (*.f64 (log.f64 (-.f64 (/.f64 1 N) (fma.f64 1/4 (pow.f64 N -4) (*.f64 1/2 (pow.f64 N -2))))) 1))
(-.f64 (/.f64 1 N) (fma.f64 1/4 (pow.f64 N -4) (*.f64 1/2 (pow.f64 N -2))))
(fma.f64 1 (/.f64 1 N) (neg.f64 (fma.f64 1/4 (pow.f64 N -4) (*.f64 1/2 (pow.f64 N -2)))))
(-.f64 (/.f64 1 N) (fma.f64 1/4 (pow.f64 N -4) (*.f64 1/2 (pow.f64 N -2))))
(fma.f64 (cbrt.f64 (pow.f64 N -2)) (/.f64 1 (cbrt.f64 N)) (neg.f64 (fma.f64 1/4 (pow.f64 N -4) (*.f64 1/2 (pow.f64 N -2)))))
(+.f64 (+.f64 (neg.f64 (fma.f64 1/4 (pow.f64 N -4) (*.f64 1/2 (pow.f64 N -2)))) (fma.f64 1/4 (pow.f64 N -4) (*.f64 1/2 (pow.f64 N -2)))) (fma.f64 (cbrt.f64 (pow.f64 N -2)) (/.f64 1 (cbrt.f64 N)) (neg.f64 (fma.f64 1/4 (pow.f64 N -4) (*.f64 1/2 (pow.f64 N -2))))))
(+.f64 (*.f64 0 (fma.f64 1/4 (pow.f64 N -4) (*.f64 1/2 (pow.f64 N -2)))) (-.f64 (*.f64 (cbrt.f64 (pow.f64 N -2)) (/.f64 1 (cbrt.f64 N))) (fma.f64 1/4 (pow.f64 N -4) (*.f64 1/2 (pow.f64 N -2)))))
(-.f64 (/.f64 (cbrt.f64 (pow.f64 N -2)) (cbrt.f64 N)) (fma.f64 1/4 (pow.f64 N -4) (*.f64 1/2 (pow.f64 N -2))))
(fma.f64 (sqrt.f64 (/.f64 1 N)) (sqrt.f64 (/.f64 1 N)) (neg.f64 (fma.f64 1/4 (pow.f64 N -4) (*.f64 1/2 (pow.f64 N -2)))))
(-.f64 (/.f64 1 N) (fma.f64 1/4 (pow.f64 N -4) (*.f64 1/2 (pow.f64 N -2))))

eval663.0ms (7.4%)

Compiler

Compiled 20059 to 14779 computations (26.3% saved)

prune111.0ms (1.2%)

Pruning

11 alts after pruning (10 fresh and 1 done)

PrunedKeptTotal
New8029811
Fresh26127
Picked505
Done415
Total83711848
Accuracy
100.0%
Counts
848 → 11
Alt Table
Click to see full alt table
StatusAccuracyProgram
95.7%
(fma.f64 (sqrt.f64 (/.f64 1 N)) (sqrt.f64 (/.f64 1 N)) (fma.f64 1/3 (pow.f64 N -3) (/.f64 -1/2 (pow.f64 N 2))))
99.3%
(pow.f64 (sqrt.f64 (log1p.f64 (/.f64 1 N))) 2)
97.9%
(pow.f64 (cbrt.f64 (log1p.f64 (/.f64 1 N))) 3)
87.0%
(/.f64 1 N)
94.0%
(-.f64 (/.f64 1 N) (/.f64 1/2 (pow.f64 N 2)))
99.8%
(-.f64 (log1p.f64 (pow.f64 N -3)) (log1p.f64 (-.f64 (pow.f64 N -2) (/.f64 1 N))))
99.7%
(-.f64 (log1p.f64 (neg.f64 (pow.f64 N -2))) (log1p.f64 (/.f64 -1 N)))
95.2%
(+.f64 (fma.f64 1/3 (pow.f64 N -3) (/.f64 -1/2 (pow.f64 N 2))) (/.f64 (cbrt.f64 (pow.f64 N -2)) (cbrt.f64 N)))
96.0%
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 (-.f64 (pow.f64 N 6) (*.f64 1/2 (pow.f64 N 5))) (*.f64 N (pow.f64 N 6))))
99.9%
(log1p.f64 (/.f64 1 N))
98.9%
(cbrt.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 3))
Compiler

Compiled 254 to 205 computations (19.3% saved)

localize337.0ms (3.8%)

Localize:

Found 14 expressions with local error:

NewAccuracyProgram
99.8%
(-.f64 (pow.f64 N 6) (*.f64 1/2 (pow.f64 N 5)))
99.5%
(*.f64 N (pow.f64 N 6))
99.4%
(/.f64 (-.f64 (pow.f64 N 6) (*.f64 1/2 (pow.f64 N 5))) (*.f64 N (pow.f64 N 6)))
99.4%
(/.f64 1/3 (pow.f64 N 3))
100.0%
(pow.f64 N -2)
99.9%
(log1p.f64 (neg.f64 (pow.f64 N -2)))
99.8%
(log1p.f64 (/.f64 -1 N))
99.8%
(-.f64 (log1p.f64 (neg.f64 (pow.f64 N -2))) (log1p.f64 (/.f64 -1 N)))
99.9%
(log1p.f64 (/.f64 1 N))
99.0%
(cbrt.f64 (log1p.f64 (/.f64 1 N)))
98.9%
(pow.f64 (cbrt.f64 (log1p.f64 (/.f64 1 N))) 3)
99.9%
(-.f64 (/.f64 1 N) (/.f64 1/2 (pow.f64 N 2)))
99.6%
(/.f64 1/2 (pow.f64 N 2))
99.9%
(log1p.f64 (/.f64 1 N))
Compiler

Compiled 164 to 123 computations (25% saved)

series33.0ms (0.4%)

Counts
11 → 132
Calls

33 calls:

TimeVariablePointExpression
5.0ms
N
@inf
(cbrt.f64 (log1p.f64 (/.f64 1 N)))
3.0ms
N
@-inf
(/.f64 (-.f64 (pow.f64 N 6) (*.f64 1/2 (pow.f64 N 5))) (*.f64 N (pow.f64 N 6)))
3.0ms
N
@0
(cbrt.f64 (log1p.f64 (/.f64 1 N)))
2.0ms
N
@-inf
(cbrt.f64 (log1p.f64 (/.f64 1 N)))
1.0ms
N
@inf
(log1p.f64 (neg.f64 (pow.f64 N -2)))

rewrite211.0ms (2.4%)

Algorithm
batch-egg-rewrite
Rules
793×log1p-expm1-u
314×associate-*r*
219×expm1-log1p-u
206×pow1
203×add-cube-cbrt
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
033256
1496239
27035239
Stop Event
node limit
Counts
11 → 343
Calls
Call 1
Inputs
(log1p.f64 (/.f64 1 N))
(-.f64 (/.f64 1 N) (/.f64 1/2 (pow.f64 N 2)))
(pow.f64 (cbrt.f64 (log1p.f64 (/.f64 1 N))) 3)
(cbrt.f64 (log1p.f64 (/.f64 1 N)))
(log1p.f64 (/.f64 1 N))
(-.f64 (log1p.f64 (neg.f64 (pow.f64 N -2))) (log1p.f64 (/.f64 -1 N)))
(log1p.f64 (/.f64 -1 N))
(log1p.f64 (neg.f64 (pow.f64 N -2)))
(pow.f64 N -2)
(/.f64 (-.f64 (pow.f64 N 6) (*.f64 1/2 (pow.f64 N 5))) (*.f64 N (pow.f64 N 6)))
(-.f64 (pow.f64 N 6) (*.f64 1/2 (pow.f64 N 5)))
Outputs
(-.f64 (exp.f64 (log1p.f64 (log1p.f64 (/.f64 1 N)))) 1)
(*.f64 1 (log1p.f64 (/.f64 1 N)))
(*.f64 (cbrt.f64 (log1p.f64 (/.f64 1 N))) (pow.f64 (cbrt.f64 (log1p.f64 (/.f64 1 N))) 2))
(*.f64 (log1p.f64 (/.f64 1 N)) 1)
(*.f64 (pow.f64 (cbrt.f64 (log1p.f64 (/.f64 1 N))) 2) (cbrt.f64 (log1p.f64 (/.f64 1 N))))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 (/.f64 1 N)))) 2) (*.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 (/.f64 1 N)))) (pow.f64 (cbrt.f64 (log1p.f64 (/.f64 1 N))) 2)))
(*.f64 (sqrt.f64 (log1p.f64 (/.f64 1 N))) (sqrt.f64 (log1p.f64 (/.f64 1 N))))
(*.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 1/6) (*.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 1/6) (pow.f64 (cbrt.f64 (log1p.f64 (/.f64 1 N))) 2)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 (/.f64 1 N)))) 2) 3) (cbrt.f64 (log1p.f64 (/.f64 1 N))))
(*.f64 (pow.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 1/6) 3) (pow.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 1/6) 3))
(*.f64 (*.f64 (pow.f64 (cbrt.f64 (log1p.f64 (/.f64 1 N))) 2) 1) (cbrt.f64 (log1p.f64 (/.f64 1 N))))
(*.f64 (*.f64 (pow.f64 (cbrt.f64 (log1p.f64 (/.f64 1 N))) 2) (pow.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 (/.f64 1 N)))) 2)) (cbrt.f64 (cbrt.f64 (log1p.f64 (/.f64 1 N)))))
(*.f64 (*.f64 (pow.f64 (cbrt.f64 (log1p.f64 (/.f64 1 N))) 2) (pow.f64 (log1p.f64 (/.f64 1 N)) 1/6)) (pow.f64 (log1p.f64 (/.f64 1 N)) 1/6))
(pow.f64 (cbrt.f64 (log1p.f64 (/.f64 1 N))) 3)
(pow.f64 (log1p.f64 (/.f64 1 N)) 1)
(pow.f64 (pow.f64 (cbrt.f64 (log1p.f64 (/.f64 1 N))) 2) 3/2)
(pow.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 3) 1/3)
(pow.f64 (sqrt.f64 (log1p.f64 (/.f64 1 N))) 2)
(sqrt.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 2))
(log.f64 (+.f64 1 (/.f64 1 N)))
(cbrt.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 3))
(expm1.f64 (log1p.f64 (log1p.f64 (/.f64 1 N))))
(exp.f64 (log.f64 (log1p.f64 (/.f64 1 N))))
(exp.f64 (*.f64 (log.f64 (log1p.f64 (/.f64 1 N))) 1))
(+.f64 (/.f64 1 N) (*.f64 1/2 (pow.f64 N -2)))
(+.f64 (*.f64 1/2 (pow.f64 N -2)) (/.f64 1 N))
(+.f64 (+.f64 (/.f64 1 N) (*.f64 1/2 (pow.f64 N -2))) (fma.f64 (*.f64 1/2 (pow.f64 N -2)) 1 (*.f64 1/2 (pow.f64 N -2))))
(+.f64 (+.f64 (/.f64 1 N) (*.f64 1/2 (pow.f64 N -2))) (fma.f64 (pow.f64 N -2) 1/2 (*.f64 1/2 (pow.f64 N -2))))
(+.f64 (+.f64 (/.f64 1 N) (*.f64 1/2 (pow.f64 N -2))) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 1/2 (pow.f64 N -2)))) (cbrt.f64 (*.f64 1/4 (pow.f64 N -4))) (*.f64 1/2 (pow.f64 N -2))))
(+.f64 (+.f64 (/.f64 1 N) (*.f64 1/2 (pow.f64 N -2))) (fma.f64 (neg.f64 (/.f64 (sqrt.f64 1/2) N)) (/.f64 (sqrt.f64 1/2) N) (*.f64 1/2 (pow.f64 N -2))))
(*.f64 1 (+.f64 (/.f64 1 N) (*.f64 1/2 (pow.f64 N -2))))
(*.f64 (+.f64 (/.f64 1 N) (*.f64 1/2 (pow.f64 N -2))) 1)
(*.f64 (/.f64 (cbrt.f64 (*.f64 N (-.f64 N 1/2))) N) (cbrt.f64 (+.f64 (pow.f64 N -2) (*.f64 1/4 (pow.f64 N -4)))))
(*.f64 (cbrt.f64 (+.f64 (pow.f64 N -2) (*.f64 1/4 (pow.f64 N -4)))) (/.f64 (cbrt.f64 (*.f64 N (-.f64 N 1/2))) N))
(*.f64 (sqrt.f64 (+.f64 (/.f64 1 N) (*.f64 1/2 (pow.f64 N -2)))) (sqrt.f64 (+.f64 (/.f64 1 N) (*.f64 1/2 (pow.f64 N -2)))))
(*.f64 (*.f64 N (-.f64 N 1/2)) (pow.f64 N -3))
(*.f64 (-.f64 (pow.f64 N -3) (/.f64 1/8 (pow.f64 N 6))) (/.f64 1 (+.f64 (pow.f64 N -2) (+.f64 (*.f64 1/4 (pow.f64 N -4)) (/.f64 1/2 (pow.f64 N 3))))))
(*.f64 (+.f64 (pow.f64 N -2) (*.f64 1/4 (pow.f64 N -4))) (/.f64 1 (+.f64 (/.f64 1 N) (*.f64 1/2 (pow.f64 N -2)))))
(*.f64 (+.f64 (pow.f64 N -1/2) (/.f64 (sqrt.f64 1/2) N)) (-.f64 (pow.f64 N -1/2) (/.f64 (sqrt.f64 1/2) N)))
(/.f64 1 (/.f64 (pow.f64 N 3) (*.f64 N (-.f64 N 1/2))))
(/.f64 1 (/.f64 (+.f64 (pow.f64 N -2) (+.f64 (*.f64 1/4 (pow.f64 N -4)) (/.f64 1/2 (pow.f64 N 3)))) (-.f64 (pow.f64 N -3) (/.f64 1/8 (pow.f64 N 6)))))
(/.f64 1 (/.f64 (+.f64 (/.f64 1 N) (*.f64 1/2 (pow.f64 N -2))) (+.f64 (pow.f64 N -2) (*.f64 1/4 (pow.f64 N -4)))))
(/.f64 (*.f64 N (-.f64 N 1/2)) (pow.f64 N 3))
(/.f64 (-.f64 (pow.f64 N -3) (/.f64 1/8 (pow.f64 N 6))) (+.f64 (pow.f64 N -2) (+.f64 (*.f64 1/4 (pow.f64 N -4)) (/.f64 1/2 (pow.f64 N 3)))))
(/.f64 (+.f64 (pow.f64 N -2) (*.f64 1/4 (pow.f64 N -4))) (+.f64 (/.f64 1 N) (*.f64 1/2 (pow.f64 N -2))))
(/.f64 (+.f64 (*.f64 (pow.f64 N 2) 2) N) (*.f64 N (*.f64 (pow.f64 N 2) 2)))
(/.f64 (+.f64 (pow.f64 N 2) (*.f64 N 1/2)) (pow.f64 N 3))
(/.f64 (+.f64 (neg.f64 (pow.f64 N 2)) (*.f64 N -1/2)) (*.f64 N (neg.f64 (pow.f64 N 2))))
(/.f64 (+.f64 (*.f64 -1 (*.f64 (pow.f64 N 2) 2)) (*.f64 (neg.f64 N) 1)) (*.f64 (neg.f64 N) (*.f64 (pow.f64 N 2) 2)))
(/.f64 (+.f64 (neg.f64 (pow.f64 N 2)) (*.f64 (neg.f64 N) 1/2)) (*.f64 (neg.f64 N) (pow.f64 N 2)))
(/.f64 (+.f64 (*.f64 -1 (neg.f64 (pow.f64 N 2))) (*.f64 (neg.f64 N) -1/2)) (*.f64 (neg.f64 N) (neg.f64 (pow.f64 N 2))))
(/.f64 (-.f64 (*.f64 (pow.f64 N 2) 2) N) (*.f64 N (*.f64 (pow.f64 N 2) 2)))
(/.f64 (-.f64 (neg.f64 (pow.f64 N 2)) (*.f64 N -1/2)) (*.f64 N (neg.f64 (pow.f64 N 2))))
(/.f64 (-.f64 (*.f64 -1 (*.f64 (pow.f64 N 2) 2)) (*.f64 (neg.f64 N) 1)) (*.f64 (neg.f64 N) (*.f64 (pow.f64 N 2) 2)))
(/.f64 (-.f64 (neg.f64 (pow.f64 N 2)) (*.f64 (neg.f64 N) 1/2)) (*.f64 (neg.f64 N) (pow.f64 N 2)))
(/.f64 (-.f64 (*.f64 -1 (neg.f64 (pow.f64 N 2))) (*.f64 (neg.f64 N) -1/2)) (*.f64 (neg.f64 N) (neg.f64 (pow.f64 N 2))))
(/.f64 (neg.f64 (*.f64 N (-.f64 N 1/2))) (neg.f64 (pow.f64 N 3)))
(/.f64 (neg.f64 (-.f64 (pow.f64 N -3) (/.f64 1/8 (pow.f64 N 6)))) (neg.f64 (+.f64 (pow.f64 N -2) (+.f64 (*.f64 1/4 (pow.f64 N -4)) (/.f64 1/2 (pow.f64 N 3))))))
(/.f64 (neg.f64 (+.f64 (pow.f64 N -2) (*.f64 1/4 (pow.f64 N -4)))) (neg.f64 (+.f64 (/.f64 1 N) (*.f64 1/2 (pow.f64 N -2)))))
(/.f64 (+.f64 (pow.f64 N -3) (/.f64 1/8 (pow.f64 N 6))) (+.f64 (pow.f64 N -2) (-.f64 (*.f64 1/4 (pow.f64 N -4)) (/.f64 1/2 (pow.f64 N 3)))))
(/.f64 (/.f64 (*.f64 N (-.f64 N 1/2)) N) (pow.f64 N 2))
(pow.f64 (+.f64 (/.f64 1 N) (*.f64 1/2 (pow.f64 N -2))) 1)
(pow.f64 (/.f64 (cbrt.f64 (*.f64 N (-.f64 N 1/2))) N) 3)
(pow.f64 (pow.f64 (+.f64 (/.f64 1 N) (*.f64 1/2 (pow.f64 N -2))) 3) 1/3)
(pow.f64 (sqrt.f64 (+.f64 (/.f64 1 N) (*.f64 1/2 (pow.f64 N -2)))) 2)
(sqrt.f64 (+.f64 (pow.f64 N -2) (*.f64 1/4 (pow.f64 N -4))))
(log.f64 (exp.f64 (+.f64 (/.f64 1 N) (*.f64 1/2 (pow.f64 N -2)))))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 (/.f64 1 N) (*.f64 1/2 (pow.f64 N -2))))))
(cbrt.f64 (pow.f64 (+.f64 (/.f64 1 N) (*.f64 1/2 (pow.f64 N -2))) 3))
(expm1.f64 (log1p.f64 (+.f64 (/.f64 1 N) (*.f64 1/2 (pow.f64 N -2)))))
(log1p.f64 (expm1.f64 (+.f64 (/.f64 1 N) (*.f64 1/2 (pow.f64 N -2)))))
(exp.f64 (log.f64 (+.f64 (/.f64 1 N) (*.f64 1/2 (pow.f64 N -2)))))
(exp.f64 (*.f64 (log.f64 (+.f64 (/.f64 1 N) (*.f64 1/2 (pow.f64 N -2)))) 1))
(fma.f64 1 (/.f64 1 N) (*.f64 1/2 (pow.f64 N -2)))
(fma.f64 (cbrt.f64 (pow.f64 N -2)) (/.f64 1 (cbrt.f64 N)) (*.f64 1/2 (pow.f64 N -2)))
(fma.f64 (pow.f64 N -1/2) (pow.f64 N -1/2) (*.f64 1/2 (pow.f64 N -2)))
(-.f64 (exp.f64 (log1p.f64 (log1p.f64 (/.f64 1 N)))) 1)
(*.f64 1 (log1p.f64 (/.f64 1 N)))
(*.f64 (cbrt.f64 (log1p.f64 (/.f64 1 N))) (pow.f64 (cbrt.f64 (log1p.f64 (/.f64 1 N))) 2))
(*.f64 (log1p.f64 (/.f64 1 N)) 1)
(*.f64 (pow.f64 (cbrt.f64 (log1p.f64 (/.f64 1 N))) 2) (cbrt.f64 (log1p.f64 (/.f64 1 N))))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 (/.f64 1 N)))) 2) (*.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 (/.f64 1 N)))) (pow.f64 (cbrt.f64 (log1p.f64 (/.f64 1 N))) 2)))
(*.f64 (sqrt.f64 (log1p.f64 (/.f64 1 N))) (sqrt.f64 (log1p.f64 (/.f64 1 N))))
(*.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 1/6) (*.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 1/6) (pow.f64 (cbrt.f64 (log1p.f64 (/.f64 1 N))) 2)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 (/.f64 1 N)))) 2) 3) (cbrt.f64 (log1p.f64 (/.f64 1 N))))
(*.f64 (pow.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 1/6) 3) (pow.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 1/6) 3))
(*.f64 (*.f64 (pow.f64 (cbrt.f64 (log1p.f64 (/.f64 1 N))) 2) 1) (cbrt.f64 (log1p.f64 (/.f64 1 N))))
(*.f64 (*.f64 (pow.f64 (cbrt.f64 (log1p.f64 (/.f64 1 N))) 2) (pow.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 (/.f64 1 N)))) 2)) (cbrt.f64 (cbrt.f64 (log1p.f64 (/.f64 1 N)))))
(*.f64 (*.f64 (pow.f64 (cbrt.f64 (log1p.f64 (/.f64 1 N))) 2) (pow.f64 (log1p.f64 (/.f64 1 N)) 1/6)) (pow.f64 (log1p.f64 (/.f64 1 N)) 1/6))
(sqrt.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 2))
(log.f64 (+.f64 1 (/.f64 1 N)))
(cbrt.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 3))
(expm1.f64 (log1p.f64 (log1p.f64 (/.f64 1 N))))
(log1p.f64 (/.f64 1 N))
(exp.f64 (log.f64 (log1p.f64 (/.f64 1 N))))
(exp.f64 (*.f64 (log.f64 (log1p.f64 (/.f64 1 N))) 1))
(-.f64 (exp.f64 (log1p.f64 (cbrt.f64 (log1p.f64 (/.f64 1 N))))) 1)
(*.f64 1 (cbrt.f64 (log1p.f64 (/.f64 1 N))))
(*.f64 (cbrt.f64 (log1p.f64 (/.f64 1 N))) 1)
(*.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 (/.f64 1 N)))) (pow.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 (/.f64 1 N)))) 2))
(*.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 (/.f64 1 N)))) (pow.f64 (pow.f64 (cbrt.f64 (log1p.f64 (/.f64 1 N))) 2) 1/3))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 (/.f64 1 N)))) 2) (cbrt.f64 (cbrt.f64 (log1p.f64 (/.f64 1 N)))))
(*.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 1/6) (pow.f64 (log1p.f64 (/.f64 1 N)) 1/6))
(*.f64 (pow.f64 1 1/3) (cbrt.f64 (log1p.f64 (/.f64 1 N))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (log1p.f64 (/.f64 1 N))) 2) 1/3) (cbrt.f64 (cbrt.f64 (log1p.f64 (/.f64 1 N)))))
(*.f64 (pow.f64 (sqrt.f64 (log1p.f64 (/.f64 1 N))) 1/3) (pow.f64 (sqrt.f64 (log1p.f64 (/.f64 1 N))) 1/3))
(pow.f64 (cbrt.f64 (log1p.f64 (/.f64 1 N))) 1)
(pow.f64 (log1p.f64 (/.f64 1 N)) 1/3)
(pow.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 (/.f64 1 N)))) 3)
(pow.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 1/6) 2)
(sqrt.f64 (pow.f64 (cbrt.f64 (log1p.f64 (/.f64 1 N))) 2))
(log.f64 (exp.f64 (cbrt.f64 (log1p.f64 (/.f64 1 N)))))
(log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 (log1p.f64 (/.f64 1 N))))))
(expm1.f64 (log1p.f64 (cbrt.f64 (log1p.f64 (/.f64 1 N)))))
(log1p.f64 (expm1.f64 (cbrt.f64 (log1p.f64 (/.f64 1 N)))))
(exp.f64 (log.f64 (cbrt.f64 (log1p.f64 (/.f64 1 N)))))
(exp.f64 (*.f64 (log.f64 (log1p.f64 (/.f64 1 N))) 1/3))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (log1p.f64 (/.f64 1 N)))) 1))
(-.f64 (exp.f64 (log1p.f64 (log1p.f64 (/.f64 1 N)))) 1)
(*.f64 1 (log1p.f64 (/.f64 1 N)))
(*.f64 (cbrt.f64 (log1p.f64 (/.f64 1 N))) (pow.f64 (cbrt.f64 (log1p.f64 (/.f64 1 N))) 2))
(*.f64 (log1p.f64 (/.f64 1 N)) 1)
(*.f64 (pow.f64 (cbrt.f64 (log1p.f64 (/.f64 1 N))) 2) (cbrt.f64 (log1p.f64 (/.f64 1 N))))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 (/.f64 1 N)))) 2) (*.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 (/.f64 1 N)))) (pow.f64 (cbrt.f64 (log1p.f64 (/.f64 1 N))) 2)))
(*.f64 (sqrt.f64 (log1p.f64 (/.f64 1 N))) (sqrt.f64 (log1p.f64 (/.f64 1 N))))
(*.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 1/6) (*.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 1/6) (pow.f64 (cbrt.f64 (log1p.f64 (/.f64 1 N))) 2)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 (/.f64 1 N)))) 2) 3) (cbrt.f64 (log1p.f64 (/.f64 1 N))))
(*.f64 (pow.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 1/6) 3) (pow.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 1/6) 3))
(*.f64 (*.f64 (pow.f64 (cbrt.f64 (log1p.f64 (/.f64 1 N))) 2) 1) (cbrt.f64 (log1p.f64 (/.f64 1 N))))
(*.f64 (*.f64 (pow.f64 (cbrt.f64 (log1p.f64 (/.f64 1 N))) 2) (pow.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 (/.f64 1 N)))) 2)) (cbrt.f64 (cbrt.f64 (log1p.f64 (/.f64 1 N)))))
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(*.f64 (/.f64 (cbrt.f64 (pow.f64 (+.f64 (pow.f64 N 6) (*.f64 (pow.f64 N 5) -1/2)) 2)) (cbrt.f64 (pow.f64 (pow.f64 N 7) 2))) (cbrt.f64 (/.f64 (+.f64 (pow.f64 N 6) (*.f64 (pow.f64 N 5) -1/2)) (pow.f64 N 7))))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (+.f64 (pow.f64 N 6) (*.f64 (pow.f64 N 5) -1/2)) 2)) (sqrt.f64 (pow.f64 N 7))) (/.f64 (cbrt.f64 (+.f64 (pow.f64 N 6) (*.f64 (pow.f64 N 5) -1/2))) (sqrt.f64 (pow.f64 N 7))))
(*.f64 (/.f64 (sqrt.f64 (+.f64 (pow.f64 N 6) (*.f64 (pow.f64 N 5) -1/2))) 1) (/.f64 (sqrt.f64 (+.f64 (pow.f64 N 6) (*.f64 (pow.f64 N 5) -1/2))) (pow.f64 N 7)))
(*.f64 (/.f64 (sqrt.f64 (+.f64 (pow.f64 N 6) (*.f64 (pow.f64 N 5) -1/2))) N) (/.f64 (sqrt.f64 (+.f64 (pow.f64 N 6) (*.f64 (pow.f64 N 5) -1/2))) (pow.f64 N 6)))
(*.f64 (/.f64 (sqrt.f64 (+.f64 (pow.f64 N 6) (*.f64 (pow.f64 N 5) -1/2))) (pow.f64 N 6)) (/.f64 (sqrt.f64 (+.f64 (pow.f64 N 6) (*.f64 (pow.f64 N 5) -1/2))) N))
(*.f64 (/.f64 (sqrt.f64 (+.f64 (pow.f64 N 6) (*.f64 (pow.f64 N 5) -1/2))) (cbrt.f64 (pow.f64 (pow.f64 N 7) 2))) (/.f64 (sqrt.f64 (+.f64 (pow.f64 N 6) (*.f64 (pow.f64 N 5) -1/2))) (cbrt.f64 (pow.f64 N 7))))
(pow.f64 (/.f64 (+.f64 (pow.f64 N 6) (*.f64 (pow.f64 N 5) -1/2)) (pow.f64 N 7)) 1)
(pow.f64 (cbrt.f64 (/.f64 (+.f64 (pow.f64 N 6) (*.f64 (pow.f64 N 5) -1/2)) (pow.f64 N 7))) 3)
(pow.f64 (pow.f64 (/.f64 (+.f64 (pow.f64 N 6) (*.f64 (pow.f64 N 5) -1/2)) (pow.f64 N 7)) 3) 1/3)
(pow.f64 (sqrt.f64 (/.f64 (+.f64 (pow.f64 N 6) (*.f64 (pow.f64 N 5) -1/2)) (pow.f64 N 7))) 2)
(pow.f64 (/.f64 (pow.f64 N 7) (+.f64 (pow.f64 N 6) (*.f64 (pow.f64 N 5) -1/2))) -1)
(neg.f64 (/.f64 (+.f64 (pow.f64 N 6) (*.f64 (pow.f64 N 5) -1/2)) (neg.f64 (pow.f64 N 7))))
(neg.f64 (/.f64 (neg.f64 (+.f64 (pow.f64 N 6) (*.f64 (pow.f64 N 5) -1/2))) (pow.f64 N 7)))
(sqrt.f64 (pow.f64 (/.f64 (+.f64 (pow.f64 N 6) (*.f64 (pow.f64 N 5) -1/2)) (pow.f64 N 7)) 2))
(log.f64 (exp.f64 (/.f64 (+.f64 (pow.f64 N 6) (*.f64 (pow.f64 N 5) -1/2)) (pow.f64 N 7))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (+.f64 (pow.f64 N 6) (*.f64 (pow.f64 N 5) -1/2)) (pow.f64 N 7)))))
(cbrt.f64 (pow.f64 (/.f64 (+.f64 (pow.f64 N 6) (*.f64 (pow.f64 N 5) -1/2)) (pow.f64 N 7)) 3))
(cbrt.f64 (/.f64 (pow.f64 (+.f64 (pow.f64 N 6) (*.f64 (pow.f64 N 5) -1/2)) 3) (pow.f64 (pow.f64 N 7) 3)))
(expm1.f64 (log1p.f64 (/.f64 (+.f64 (pow.f64 N 6) (*.f64 (pow.f64 N 5) -1/2)) (pow.f64 N 7))))
(log1p.f64 (expm1.f64 (/.f64 (+.f64 (pow.f64 N 6) (*.f64 (pow.f64 N 5) -1/2)) (pow.f64 N 7))))
(exp.f64 (log.f64 (/.f64 (+.f64 (pow.f64 N 6) (*.f64 (pow.f64 N 5) -1/2)) (pow.f64 N 7))))
(exp.f64 (*.f64 (log.f64 (/.f64 (+.f64 (pow.f64 N 6) (*.f64 (pow.f64 N 5) -1/2)) (pow.f64 N 7))) 1))
(+.f64 (pow.f64 N 6) (*.f64 (pow.f64 N 5) -1/2))
(+.f64 (pow.f64 N 6) (*.f64 (*.f64 (pow.f64 N 5) -1/2) 1))
(+.f64 (+.f64 (pow.f64 N 6) (*.f64 (pow.f64 N 5) -1/2)) (fma.f64 (*.f64 (pow.f64 N 5) -1/2) 1 (*.f64 1/2 (pow.f64 N 5))))
(+.f64 (+.f64 (pow.f64 N 6) (*.f64 (pow.f64 N 5) -1/2)) (fma.f64 (neg.f64 (pow.f64 N 5)) 1/2 (*.f64 1/2 (pow.f64 N 5))))
(+.f64 (+.f64 (pow.f64 N 6) (*.f64 (pow.f64 N 5) -1/2)) (fma.f64 -1/2 (pow.f64 N 5) (*.f64 1/2 (pow.f64 N 5))))
(+.f64 (+.f64 (pow.f64 N 6) (*.f64 (pow.f64 N 5) -1/2)) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 1/2 (pow.f64 N 5)))) (cbrt.f64 (*.f64 (pow.f64 N 10) 1/4)) (*.f64 1/2 (pow.f64 N 5))))
(+.f64 (+.f64 (pow.f64 N 6) (*.f64 (pow.f64 N 5) -1/2)) (fma.f64 (neg.f64 (*.f64 (pow.f64 N 5/2) (sqrt.f64 1/2))) (*.f64 (pow.f64 N 5/2) (sqrt.f64 1/2)) (*.f64 1/2 (pow.f64 N 5))))
(+.f64 (*.f64 (pow.f64 N 5) -1/2) (pow.f64 N 6))
(*.f64 1 (+.f64 (pow.f64 N 6) (*.f64 (pow.f64 N 5) -1/2)))
(*.f64 (+.f64 (pow.f64 N 6) (*.f64 (pow.f64 N 5) -1/2)) 1)
(*.f64 (cbrt.f64 (+.f64 (pow.f64 N 6) (*.f64 (pow.f64 N 5) -1/2))) (cbrt.f64 (pow.f64 (+.f64 (pow.f64 N 6) (*.f64 (pow.f64 N 5) -1/2)) 2)))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 (pow.f64 N 6) (*.f64 (pow.f64 N 5) -1/2)) 2)) (cbrt.f64 (+.f64 (pow.f64 N 6) (*.f64 (pow.f64 N 5) -1/2))))
(*.f64 (sqrt.f64 (+.f64 (pow.f64 N 6) (*.f64 (pow.f64 N 5) -1/2))) (sqrt.f64 (+.f64 (pow.f64 N 6) (*.f64 (pow.f64 N 5) -1/2))))
(*.f64 (-.f64 (pow.f64 N 18) (*.f64 (pow.f64 (pow.f64 N 5) 3) 1/8)) (/.f64 1 (+.f64 (pow.f64 N 12) (+.f64 (*.f64 (pow.f64 N 10) 1/4) (*.f64 (*.f64 (pow.f64 N 6) 1/2) (pow.f64 N 5))))))
(*.f64 (-.f64 (pow.f64 N 12) (*.f64 (pow.f64 N 10) 1/4)) (/.f64 1 (+.f64 (pow.f64 N 6) (*.f64 1/2 (pow.f64 N 5)))))
(*.f64 (+.f64 (pow.f64 N 3) (*.f64 (pow.f64 N 5/2) (sqrt.f64 1/2))) (-.f64 (pow.f64 N 3) (*.f64 (pow.f64 N 5/2) (sqrt.f64 1/2))))
(/.f64 1 (/.f64 (+.f64 (pow.f64 N 12) (+.f64 (*.f64 (pow.f64 N 10) 1/4) (*.f64 (*.f64 (pow.f64 N 6) 1/2) (pow.f64 N 5)))) (-.f64 (pow.f64 N 18) (*.f64 (pow.f64 (pow.f64 N 5) 3) 1/8))))
(/.f64 1 (/.f64 (+.f64 (pow.f64 N 6) (*.f64 1/2 (pow.f64 N 5))) (-.f64 (pow.f64 N 12) (*.f64 (pow.f64 N 10) 1/4))))
(/.f64 (-.f64 (pow.f64 N 18) (*.f64 (pow.f64 (pow.f64 N 5) 3) 1/8)) (+.f64 (pow.f64 N 12) (+.f64 (*.f64 (pow.f64 N 10) 1/4) (*.f64 (*.f64 (pow.f64 N 6) 1/2) (pow.f64 N 5)))))
(/.f64 (-.f64 (pow.f64 N 12) (*.f64 (pow.f64 N 10) 1/4)) (+.f64 (pow.f64 N 6) (*.f64 1/2 (pow.f64 N 5))))
(/.f64 (neg.f64 (-.f64 (pow.f64 N 18) (*.f64 (pow.f64 (pow.f64 N 5) 3) 1/8))) (neg.f64 (+.f64 (pow.f64 N 12) (+.f64 (*.f64 (pow.f64 N 10) 1/4) (*.f64 (*.f64 (pow.f64 N 6) 1/2) (pow.f64 N 5))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 N 12) (*.f64 (pow.f64 N 10) 1/4))) (neg.f64 (+.f64 (pow.f64 N 6) (*.f64 1/2 (pow.f64 N 5)))))
(/.f64 (+.f64 (pow.f64 N 18) (pow.f64 (*.f64 (pow.f64 N 5) -1/2) 3)) (+.f64 (pow.f64 N 12) (-.f64 (*.f64 (*.f64 (pow.f64 N 5) -1/2) (*.f64 (pow.f64 N 5) -1/2)) (*.f64 (pow.f64 N 6) (*.f64 (pow.f64 N 5) -1/2)))))
(/.f64 (-.f64 (pow.f64 N 12) (*.f64 (*.f64 (pow.f64 N 5) -1/2) (*.f64 (pow.f64 N 5) -1/2))) (-.f64 (pow.f64 N 6) (*.f64 (pow.f64 N 5) -1/2)))
(pow.f64 (+.f64 (pow.f64 N 6) (*.f64 (pow.f64 N 5) -1/2)) 1)
(pow.f64 (cbrt.f64 (+.f64 (pow.f64 N 6) (*.f64 (pow.f64 N 5) -1/2))) 3)
(pow.f64 (pow.f64 (+.f64 (pow.f64 N 6) (*.f64 (pow.f64 N 5) -1/2)) 3) 1/3)
(pow.f64 (sqrt.f64 (+.f64 (pow.f64 N 6) (*.f64 (pow.f64 N 5) -1/2))) 2)
(sqrt.f64 (pow.f64 (+.f64 (pow.f64 N 6) (*.f64 (pow.f64 N 5) -1/2)) 2))
(log.f64 (exp.f64 (+.f64 (pow.f64 N 6) (*.f64 (pow.f64 N 5) -1/2))))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 (pow.f64 N 6) (*.f64 (pow.f64 N 5) -1/2)))))
(cbrt.f64 (pow.f64 (+.f64 (pow.f64 N 6) (*.f64 (pow.f64 N 5) -1/2)) 3))
(expm1.f64 (log1p.f64 (+.f64 (pow.f64 N 6) (*.f64 (pow.f64 N 5) -1/2))))
(log1p.f64 (expm1.f64 (+.f64 (pow.f64 N 6) (*.f64 (pow.f64 N 5) -1/2))))
(exp.f64 (log.f64 (+.f64 (pow.f64 N 6) (*.f64 (pow.f64 N 5) -1/2))))
(exp.f64 (*.f64 (log.f64 (+.f64 (pow.f64 N 6) (*.f64 (pow.f64 N 5) -1/2))) 1))
(fma.f64 1 (pow.f64 N 6) (*.f64 (pow.f64 N 5) -1/2))
(fma.f64 (pow.f64 N 4) (pow.f64 N 2) (*.f64 (pow.f64 N 5) -1/2))
(fma.f64 (pow.f64 N 3) (pow.f64 N 3) (*.f64 (pow.f64 N 5) -1/2))

simplify245.0ms (2.7%)

Algorithm
egg-herbie
Rules
1772×fma-neg
788×fma-define
624×associate-*r*
560×associate-*l*
474×*-commutative
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
076512884920166
1186212884918379
2691112884918356
Stop Event
node limit
Counts
475 → 479
Calls
Call 1
Inputs
(*.f64 -1 (log.f64 N))
(+.f64 N (*.f64 -1 (log.f64 N)))
(+.f64 N (+.f64 (*.f64 -1 (log.f64 N)) (*.f64 -1/2 (pow.f64 N 2))))
(+.f64 N (+.f64 (*.f64 -1 (log.f64 N)) (+.f64 (*.f64 -1/2 (pow.f64 N 2)) (*.f64 1/3 (pow.f64 N 3)))))
(/.f64 1 N)
(-.f64 (/.f64 1 N) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 N 3))) (/.f64 1 N)) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 N 3))) (/.f64 1 N)) (+.f64 (*.f64 1/4 (/.f64 1 (pow.f64 N 4))) (*.f64 1/2 (/.f64 1 (pow.f64 N 2)))))
(/.f64 1 N)
(-.f64 (/.f64 1 N) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 N 3))) (/.f64 1 N)) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 N 3))) (/.f64 1 N)) (+.f64 (*.f64 1/4 (/.f64 1 (pow.f64 N 4))) (*.f64 1/2 (/.f64 1 (pow.f64 N 2)))))
(/.f64 -1/2 (pow.f64 N 2))
(-.f64 (/.f64 1 N) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (/.f64 1 N) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (/.f64 1 N) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(/.f64 1 N)
(-.f64 (/.f64 1 N) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (/.f64 1 N) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (/.f64 1 N) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(/.f64 1 N)
(-.f64 (/.f64 1 N) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (/.f64 1 N) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (/.f64 1 N) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(*.f64 -1 (log.f64 N))
(+.f64 N (*.f64 -1 (log.f64 N)))
(+.f64 N (+.f64 (*.f64 -1 (log.f64 N)) (*.f64 -1/2 (pow.f64 N 2))))
(+.f64 N (+.f64 (*.f64 -1 (log.f64 N)) (+.f64 (*.f64 -1/2 (pow.f64 N 2)) (*.f64 1/3 (pow.f64 N 3)))))
(/.f64 1 N)
(-.f64 (/.f64 1 N) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 N 3))) (/.f64 1 N)) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 N 3))) (/.f64 1 N)) (+.f64 (*.f64 1/4 (/.f64 1 (pow.f64 N 4))) (*.f64 1/2 (/.f64 1 (pow.f64 N 2)))))
(/.f64 1 N)
(-.f64 (/.f64 1 N) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 N 3))) (/.f64 1 N)) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 N 3))) (/.f64 1 N)) (+.f64 (*.f64 1/4 (/.f64 1 (pow.f64 N 4))) (*.f64 1/2 (/.f64 1 (pow.f64 N 2)))))
(*.f64 (cbrt.f64 -1) (cbrt.f64 (log.f64 N)))
(+.f64 (*.f64 1/3 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 N) 2)) 1/9) (*.f64 N (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 2)))))) (*.f64 (cbrt.f64 -1) (cbrt.f64 (log.f64 N))))
(+.f64 (*.f64 -1/3 (*.f64 (/.f64 (*.f64 (pow.f64 N 2) (+.f64 1/2 (*.f64 1/3 (*.f64 (pow.f64 (/.f64 1 (log.f64 N)) 1/9) (cbrt.f64 (/.f64 1 (cbrt.f64 -1))))))) (pow.f64 (cbrt.f64 -1) 2)) (cbrt.f64 (/.f64 1 (pow.f64 (log.f64 N) 2))))) (+.f64 (*.f64 1/3 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 N) 2)) 1/9) (*.f64 N (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 2)))))) (*.f64 (cbrt.f64 -1) (cbrt.f64 (log.f64 N)))))
(+.f64 (*.f64 -1/3 (*.f64 (/.f64 (*.f64 (pow.f64 N 2) (+.f64 1/2 (*.f64 1/3 (*.f64 (pow.f64 (/.f64 1 (log.f64 N)) 1/9) (cbrt.f64 (/.f64 1 (cbrt.f64 -1))))))) (pow.f64 (cbrt.f64 -1) 2)) (cbrt.f64 (/.f64 1 (pow.f64 (log.f64 N) 2))))) (+.f64 (*.f64 1/3 (*.f64 (/.f64 (*.f64 (pow.f64 N 3) (-.f64 1/3 (+.f64 (*.f64 -2/3 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 N) 5)) 1/9) (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 5))) (+.f64 1/2 (*.f64 1/3 (*.f64 (pow.f64 (/.f64 1 (log.f64 N)) 1/9) (cbrt.f64 (/.f64 1 (cbrt.f64 -1))))))))) (*.f64 1/27 (*.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 2)) (cbrt.f64 (/.f64 1 (pow.f64 (log.f64 N) 2)))))))) (pow.f64 (cbrt.f64 -1) 2)) (cbrt.f64 (/.f64 1 (pow.f64 (log.f64 N) 2))))) (+.f64 (*.f64 1/3 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 N) 2)) 1/9) (*.f64 N (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 2)))))) (*.f64 (cbrt.f64 -1) (cbrt.f64 (log.f64 N))))))
(cbrt.f64 (-.f64 (/.f64 1 N) (*.f64 1/2 (/.f64 1 (pow.f64 N 2)))))
(+.f64 (cbrt.f64 (-.f64 (/.f64 1 N) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))) (*.f64 1/9 (*.f64 (/.f64 1 (pow.f64 N 3)) (cbrt.f64 (/.f64 1 (pow.f64 (-.f64 (/.f64 1 N) (*.f64 1/2 (/.f64 1 (pow.f64 N 2)))) 2))))))
(+.f64 (cbrt.f64 (-.f64 (/.f64 1 N) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))) (+.f64 (*.f64 -1/12 (*.f64 (/.f64 1 (pow.f64 N 4)) (cbrt.f64 (/.f64 1 (pow.f64 (-.f64 (/.f64 1 N) (*.f64 1/2 (/.f64 1 (pow.f64 N 2)))) 2))))) (*.f64 1/9 (*.f64 (/.f64 1 (pow.f64 N 3)) (cbrt.f64 (/.f64 1 (pow.f64 (-.f64 (/.f64 1 N) (*.f64 1/2 (/.f64 1 (pow.f64 N 2)))) 2)))))))
(+.f64 (cbrt.f64 (-.f64 (/.f64 1 N) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))) (+.f64 (*.f64 -1/12 (*.f64 (/.f64 1 (pow.f64 N 4)) (cbrt.f64 (/.f64 1 (pow.f64 (-.f64 (/.f64 1 N) (*.f64 1/2 (/.f64 1 (pow.f64 N 2)))) 2))))) (+.f64 (*.f64 1/15 (*.f64 (/.f64 1 (pow.f64 N 5)) (cbrt.f64 (/.f64 1 (pow.f64 (-.f64 (/.f64 1 N) (*.f64 1/2 (/.f64 1 (pow.f64 N 2)))) 2))))) (*.f64 1/9 (*.f64 (/.f64 1 (pow.f64 N 3)) (cbrt.f64 (/.f64 1 (pow.f64 (-.f64 (/.f64 1 N) (*.f64 1/2 (/.f64 1 (pow.f64 N 2)))) 2))))))))
(cbrt.f64 (-.f64 (/.f64 1 N) (*.f64 1/2 (/.f64 1 (pow.f64 N 2)))))
(+.f64 (cbrt.f64 (-.f64 (/.f64 1 N) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))) (*.f64 1/9 (*.f64 (/.f64 1 (pow.f64 N 3)) (cbrt.f64 (/.f64 1 (pow.f64 (-.f64 (/.f64 1 N) (*.f64 1/2 (/.f64 1 (pow.f64 N 2)))) 2))))))
(+.f64 (cbrt.f64 (-.f64 (/.f64 1 N) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))) (+.f64 (*.f64 -1/12 (*.f64 (/.f64 1 (pow.f64 N 4)) (cbrt.f64 (/.f64 1 (pow.f64 (-.f64 (/.f64 1 N) (*.f64 1/2 (/.f64 1 (pow.f64 N 2)))) 2))))) (*.f64 1/9 (*.f64 (/.f64 1 (pow.f64 N 3)) (cbrt.f64 (/.f64 1 (pow.f64 (-.f64 (/.f64 1 N) (*.f64 1/2 (/.f64 1 (pow.f64 N 2)))) 2)))))))
(+.f64 (cbrt.f64 (-.f64 (/.f64 1 N) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))) (+.f64 (*.f64 -1/12 (*.f64 (/.f64 1 (pow.f64 N 4)) (cbrt.f64 (/.f64 1 (pow.f64 (-.f64 (/.f64 1 N) (*.f64 1/2 (/.f64 1 (pow.f64 N 2)))) 2))))) (+.f64 (*.f64 1/15 (*.f64 (/.f64 1 (pow.f64 N 5)) (cbrt.f64 (/.f64 1 (pow.f64 (-.f64 (/.f64 1 N) (*.f64 1/2 (/.f64 1 (pow.f64 N 2)))) 2))))) (*.f64 1/9 (*.f64 (/.f64 1 (pow.f64 N 3)) (cbrt.f64 (/.f64 1 (pow.f64 (-.f64 (/.f64 1 N) (*.f64 1/2 (/.f64 1 (pow.f64 N 2)))) 2))))))))
(*.f64 -1 (log.f64 N))
(+.f64 N (*.f64 -1 (log.f64 N)))
(+.f64 N (+.f64 (*.f64 -1 (log.f64 N)) (*.f64 -1/2 (pow.f64 N 2))))
(+.f64 N (+.f64 (*.f64 -1 (log.f64 N)) (+.f64 (*.f64 -1/2 (pow.f64 N 2)) (*.f64 1/3 (pow.f64 N 3)))))
(/.f64 1 N)
(-.f64 (/.f64 1 N) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 N 3))) (/.f64 1 N)) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 N 3))) (/.f64 1 N)) (+.f64 (*.f64 1/4 (/.f64 1 (pow.f64 N 4))) (*.f64 1/2 (/.f64 1 (pow.f64 N 2)))))
(/.f64 1 N)
(-.f64 (/.f64 1 N) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 N 3))) (/.f64 1 N)) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
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(*.f64 (cbrt.f64 (pow.f64 (+.f64 (pow.f64 N 6) (*.f64 (pow.f64 N 5) -1/2)) 2)) (/.f64 (cbrt.f64 (+.f64 (pow.f64 N 6) (*.f64 (pow.f64 N 5) -1/2))) (pow.f64 N 7)))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 (pow.f64 N 6) (*.f64 (pow.f64 N 5) -1/2)) 2)) (*.f64 (cbrt.f64 (+.f64 (pow.f64 N 6) (*.f64 (pow.f64 N 5) -1/2))) (/.f64 1 (pow.f64 N 7))))
(*.f64 (sqrt.f64 (/.f64 (+.f64 (pow.f64 N 6) (*.f64 (pow.f64 N 5) -1/2)) (pow.f64 N 7))) (sqrt.f64 (/.f64 (+.f64 (pow.f64 N 6) (*.f64 (pow.f64 N 5) -1/2)) (pow.f64 N 7))))
(*.f64 (sqrt.f64 (+.f64 (pow.f64 N 6) (*.f64 (pow.f64 N 5) -1/2))) (/.f64 (sqrt.f64 (+.f64 (pow.f64 N 6) (*.f64 (pow.f64 N 5) -1/2))) (pow.f64 N 7)))
(*.f64 (sqrt.f64 (+.f64 (pow.f64 N 6) (*.f64 (pow.f64 N 5) -1/2))) (*.f64 (sqrt.f64 (+.f64 (pow.f64 N 6) (*.f64 (pow.f64 N 5) -1/2))) (/.f64 1 (pow.f64 N 7))))
(*.f64 (neg.f64 (+.f64 (pow.f64 N 6) (*.f64 (pow.f64 N 5) -1/2))) (/.f64 1 (neg.f64 (pow.f64 N 7))))
(*.f64 (/.f64 1 (pow.f64 N 7)) (+.f64 (pow.f64 N 6) (*.f64 (pow.f64 N 5) -1/2)))
(*.f64 (/.f64 (+.f64 (pow.f64 N 6) (*.f64 (pow.f64 N 5) -1/2)) N) (/.f64 1 (pow.f64 N 6)))
(*.f64 (/.f64 1 (pow.f64 N 6)) (/.f64 (+.f64 (pow.f64 N 6) (*.f64 (pow.f64 N 5) -1/2)) N))
(*.f64 (/.f64 1 (cbrt.f64 (pow.f64 (pow.f64 N 7) 2))) (/.f64 (+.f64 (pow.f64 N 6) (*.f64 (pow.f64 N 5) -1/2)) (cbrt.f64 (pow.f64 N 7))))
(*.f64 (/.f64 1 (sqrt.f64 (pow.f64 N 7))) (/.f64 (+.f64 (pow.f64 N 6) (*.f64 (pow.f64 N 5) -1/2)) (sqrt.f64 (pow.f64 N 7))))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (+.f64 (pow.f64 N 6) (*.f64 (pow.f64 N 5) -1/2)) 2)) 1) (/.f64 (cbrt.f64 (+.f64 (pow.f64 N 6) (*.f64 (pow.f64 N 5) -1/2))) (pow.f64 N 7)))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (+.f64 (pow.f64 N 6) (*.f64 (pow.f64 N 5) -1/2)) 2)) N) (/.f64 (cbrt.f64 (+.f64 (pow.f64 N 6) (*.f64 (pow.f64 N 5) -1/2))) (pow.f64 N 6)))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (+.f64 (pow.f64 N 6) (*.f64 (pow.f64 N 5) -1/2)) 2)) (pow.f64 N 6)) (/.f64 (cbrt.f64 (+.f64 (pow.f64 N 6) (*.f64 (pow.f64 N 5) -1/2))) N))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (+.f64 (pow.f64 N 6) (*.f64 (pow.f64 N 5) -1/2)) 2)) (cbrt.f64 (pow.f64 (pow.f64 N 7) 2))) (cbrt.f64 (/.f64 (+.f64 (pow.f64 N 6) (*.f64 (pow.f64 N 5) -1/2)) (pow.f64 N 7))))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (+.f64 (pow.f64 N 6) (*.f64 (pow.f64 N 5) -1/2)) 2)) (sqrt.f64 (pow.f64 N 7))) (/.f64 (cbrt.f64 (+.f64 (pow.f64 N 6) (*.f64 (pow.f64 N 5) -1/2))) (sqrt.f64 (pow.f64 N 7))))
(*.f64 (/.f64 (sqrt.f64 (+.f64 (pow.f64 N 6) (*.f64 (pow.f64 N 5) -1/2))) 1) (/.f64 (sqrt.f64 (+.f64 (pow.f64 N 6) (*.f64 (pow.f64 N 5) -1/2))) (pow.f64 N 7)))
(*.f64 (/.f64 (sqrt.f64 (+.f64 (pow.f64 N 6) (*.f64 (pow.f64 N 5) -1/2))) N) (/.f64 (sqrt.f64 (+.f64 (pow.f64 N 6) (*.f64 (pow.f64 N 5) -1/2))) (pow.f64 N 6)))
(*.f64 (/.f64 (sqrt.f64 (+.f64 (pow.f64 N 6) (*.f64 (pow.f64 N 5) -1/2))) (pow.f64 N 6)) (/.f64 (sqrt.f64 (+.f64 (pow.f64 N 6) (*.f64 (pow.f64 N 5) -1/2))) N))
(*.f64 (/.f64 (sqrt.f64 (+.f64 (pow.f64 N 6) (*.f64 (pow.f64 N 5) -1/2))) (cbrt.f64 (pow.f64 (pow.f64 N 7) 2))) (/.f64 (sqrt.f64 (+.f64 (pow.f64 N 6) (*.f64 (pow.f64 N 5) -1/2))) (cbrt.f64 (pow.f64 N 7))))
(pow.f64 (/.f64 (+.f64 (pow.f64 N 6) (*.f64 (pow.f64 N 5) -1/2)) (pow.f64 N 7)) 1)
(pow.f64 (cbrt.f64 (/.f64 (+.f64 (pow.f64 N 6) (*.f64 (pow.f64 N 5) -1/2)) (pow.f64 N 7))) 3)
(pow.f64 (pow.f64 (/.f64 (+.f64 (pow.f64 N 6) (*.f64 (pow.f64 N 5) -1/2)) (pow.f64 N 7)) 3) 1/3)
(pow.f64 (sqrt.f64 (/.f64 (+.f64 (pow.f64 N 6) (*.f64 (pow.f64 N 5) -1/2)) (pow.f64 N 7))) 2)
(pow.f64 (/.f64 (pow.f64 N 7) (+.f64 (pow.f64 N 6) (*.f64 (pow.f64 N 5) -1/2))) -1)
(neg.f64 (/.f64 (+.f64 (pow.f64 N 6) (*.f64 (pow.f64 N 5) -1/2)) (neg.f64 (pow.f64 N 7))))
(neg.f64 (/.f64 (neg.f64 (+.f64 (pow.f64 N 6) (*.f64 (pow.f64 N 5) -1/2))) (pow.f64 N 7)))
(sqrt.f64 (pow.f64 (/.f64 (+.f64 (pow.f64 N 6) (*.f64 (pow.f64 N 5) -1/2)) (pow.f64 N 7)) 2))
(log.f64 (exp.f64 (/.f64 (+.f64 (pow.f64 N 6) (*.f64 (pow.f64 N 5) -1/2)) (pow.f64 N 7))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (+.f64 (pow.f64 N 6) (*.f64 (pow.f64 N 5) -1/2)) (pow.f64 N 7)))))
(cbrt.f64 (pow.f64 (/.f64 (+.f64 (pow.f64 N 6) (*.f64 (pow.f64 N 5) -1/2)) (pow.f64 N 7)) 3))
(cbrt.f64 (/.f64 (pow.f64 (+.f64 (pow.f64 N 6) (*.f64 (pow.f64 N 5) -1/2)) 3) (pow.f64 (pow.f64 N 7) 3)))
(expm1.f64 (log1p.f64 (/.f64 (+.f64 (pow.f64 N 6) (*.f64 (pow.f64 N 5) -1/2)) (pow.f64 N 7))))
(log1p.f64 (expm1.f64 (/.f64 (+.f64 (pow.f64 N 6) (*.f64 (pow.f64 N 5) -1/2)) (pow.f64 N 7))))
(exp.f64 (log.f64 (/.f64 (+.f64 (pow.f64 N 6) (*.f64 (pow.f64 N 5) -1/2)) (pow.f64 N 7))))
(exp.f64 (*.f64 (log.f64 (/.f64 (+.f64 (pow.f64 N 6) (*.f64 (pow.f64 N 5) -1/2)) (pow.f64 N 7))) 1))
(+.f64 (pow.f64 N 6) (*.f64 (pow.f64 N 5) -1/2))
(+.f64 (pow.f64 N 6) (*.f64 (*.f64 (pow.f64 N 5) -1/2) 1))
(+.f64 (+.f64 (pow.f64 N 6) (*.f64 (pow.f64 N 5) -1/2)) (fma.f64 (*.f64 (pow.f64 N 5) -1/2) 1 (*.f64 1/2 (pow.f64 N 5))))
(+.f64 (+.f64 (pow.f64 N 6) (*.f64 (pow.f64 N 5) -1/2)) (fma.f64 (neg.f64 (pow.f64 N 5)) 1/2 (*.f64 1/2 (pow.f64 N 5))))
(+.f64 (+.f64 (pow.f64 N 6) (*.f64 (pow.f64 N 5) -1/2)) (fma.f64 -1/2 (pow.f64 N 5) (*.f64 1/2 (pow.f64 N 5))))
(+.f64 (+.f64 (pow.f64 N 6) (*.f64 (pow.f64 N 5) -1/2)) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 1/2 (pow.f64 N 5)))) (cbrt.f64 (*.f64 (pow.f64 N 10) 1/4)) (*.f64 1/2 (pow.f64 N 5))))
(+.f64 (+.f64 (pow.f64 N 6) (*.f64 (pow.f64 N 5) -1/2)) (fma.f64 (neg.f64 (*.f64 (pow.f64 N 5/2) (sqrt.f64 1/2))) (*.f64 (pow.f64 N 5/2) (sqrt.f64 1/2)) (*.f64 1/2 (pow.f64 N 5))))
(+.f64 (*.f64 (pow.f64 N 5) -1/2) (pow.f64 N 6))
(*.f64 1 (+.f64 (pow.f64 N 6) (*.f64 (pow.f64 N 5) -1/2)))
(*.f64 (+.f64 (pow.f64 N 6) (*.f64 (pow.f64 N 5) -1/2)) 1)
(*.f64 (cbrt.f64 (+.f64 (pow.f64 N 6) (*.f64 (pow.f64 N 5) -1/2))) (cbrt.f64 (pow.f64 (+.f64 (pow.f64 N 6) (*.f64 (pow.f64 N 5) -1/2)) 2)))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 (pow.f64 N 6) (*.f64 (pow.f64 N 5) -1/2)) 2)) (cbrt.f64 (+.f64 (pow.f64 N 6) (*.f64 (pow.f64 N 5) -1/2))))
(*.f64 (sqrt.f64 (+.f64 (pow.f64 N 6) (*.f64 (pow.f64 N 5) -1/2))) (sqrt.f64 (+.f64 (pow.f64 N 6) (*.f64 (pow.f64 N 5) -1/2))))
(*.f64 (-.f64 (pow.f64 N 18) (*.f64 (pow.f64 (pow.f64 N 5) 3) 1/8)) (/.f64 1 (+.f64 (pow.f64 N 12) (+.f64 (*.f64 (pow.f64 N 10) 1/4) (*.f64 (*.f64 (pow.f64 N 6) 1/2) (pow.f64 N 5))))))
(*.f64 (-.f64 (pow.f64 N 12) (*.f64 (pow.f64 N 10) 1/4)) (/.f64 1 (+.f64 (pow.f64 N 6) (*.f64 1/2 (pow.f64 N 5)))))
(*.f64 (+.f64 (pow.f64 N 3) (*.f64 (pow.f64 N 5/2) (sqrt.f64 1/2))) (-.f64 (pow.f64 N 3) (*.f64 (pow.f64 N 5/2) (sqrt.f64 1/2))))
(/.f64 1 (/.f64 (+.f64 (pow.f64 N 12) (+.f64 (*.f64 (pow.f64 N 10) 1/4) (*.f64 (*.f64 (pow.f64 N 6) 1/2) (pow.f64 N 5)))) (-.f64 (pow.f64 N 18) (*.f64 (pow.f64 (pow.f64 N 5) 3) 1/8))))
(/.f64 1 (/.f64 (+.f64 (pow.f64 N 6) (*.f64 1/2 (pow.f64 N 5))) (-.f64 (pow.f64 N 12) (*.f64 (pow.f64 N 10) 1/4))))
(/.f64 (-.f64 (pow.f64 N 18) (*.f64 (pow.f64 (pow.f64 N 5) 3) 1/8)) (+.f64 (pow.f64 N 12) (+.f64 (*.f64 (pow.f64 N 10) 1/4) (*.f64 (*.f64 (pow.f64 N 6) 1/2) (pow.f64 N 5)))))
(/.f64 (-.f64 (pow.f64 N 12) (*.f64 (pow.f64 N 10) 1/4)) (+.f64 (pow.f64 N 6) (*.f64 1/2 (pow.f64 N 5))))
(/.f64 (neg.f64 (-.f64 (pow.f64 N 18) (*.f64 (pow.f64 (pow.f64 N 5) 3) 1/8))) (neg.f64 (+.f64 (pow.f64 N 12) (+.f64 (*.f64 (pow.f64 N 10) 1/4) (*.f64 (*.f64 (pow.f64 N 6) 1/2) (pow.f64 N 5))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 N 12) (*.f64 (pow.f64 N 10) 1/4))) (neg.f64 (+.f64 (pow.f64 N 6) (*.f64 1/2 (pow.f64 N 5)))))
(/.f64 (+.f64 (pow.f64 N 18) (pow.f64 (*.f64 (pow.f64 N 5) -1/2) 3)) (+.f64 (pow.f64 N 12) (-.f64 (*.f64 (*.f64 (pow.f64 N 5) -1/2) (*.f64 (pow.f64 N 5) -1/2)) (*.f64 (pow.f64 N 6) (*.f64 (pow.f64 N 5) -1/2)))))
(/.f64 (-.f64 (pow.f64 N 12) (*.f64 (*.f64 (pow.f64 N 5) -1/2) (*.f64 (pow.f64 N 5) -1/2))) (-.f64 (pow.f64 N 6) (*.f64 (pow.f64 N 5) -1/2)))
(pow.f64 (+.f64 (pow.f64 N 6) (*.f64 (pow.f64 N 5) -1/2)) 1)
(pow.f64 (cbrt.f64 (+.f64 (pow.f64 N 6) (*.f64 (pow.f64 N 5) -1/2))) 3)
(pow.f64 (pow.f64 (+.f64 (pow.f64 N 6) (*.f64 (pow.f64 N 5) -1/2)) 3) 1/3)
(pow.f64 (sqrt.f64 (+.f64 (pow.f64 N 6) (*.f64 (pow.f64 N 5) -1/2))) 2)
(sqrt.f64 (pow.f64 (+.f64 (pow.f64 N 6) (*.f64 (pow.f64 N 5) -1/2)) 2))
(log.f64 (exp.f64 (+.f64 (pow.f64 N 6) (*.f64 (pow.f64 N 5) -1/2))))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 (pow.f64 N 6) (*.f64 (pow.f64 N 5) -1/2)))))
(cbrt.f64 (pow.f64 (+.f64 (pow.f64 N 6) (*.f64 (pow.f64 N 5) -1/2)) 3))
(expm1.f64 (log1p.f64 (+.f64 (pow.f64 N 6) (*.f64 (pow.f64 N 5) -1/2))))
(log1p.f64 (expm1.f64 (+.f64 (pow.f64 N 6) (*.f64 (pow.f64 N 5) -1/2))))
(exp.f64 (log.f64 (+.f64 (pow.f64 N 6) (*.f64 (pow.f64 N 5) -1/2))))
(exp.f64 (*.f64 (log.f64 (+.f64 (pow.f64 N 6) (*.f64 (pow.f64 N 5) -1/2))) 1))
(fma.f64 1 (pow.f64 N 6) (*.f64 (pow.f64 N 5) -1/2))
(fma.f64 (pow.f64 N 4) (pow.f64 N 2) (*.f64 (pow.f64 N 5) -1/2))
(fma.f64 (pow.f64 N 3) (pow.f64 N 3) (*.f64 (pow.f64 N 5) -1/2))
Outputs
(*.f64 -1 (log.f64 N))
(neg.f64 (log.f64 N))
(+.f64 N (*.f64 -1 (log.f64 N)))
(+.f64 N (neg.f64 (log.f64 N)))
(-.f64 N (log.f64 N))
(+.f64 N (+.f64 (*.f64 -1 (log.f64 N)) (*.f64 -1/2 (pow.f64 N 2))))
(+.f64 N (fma.f64 -1 (log.f64 N) (*.f64 -1/2 (pow.f64 N 2))))
(+.f64 (-.f64 N (log.f64 N)) (*.f64 -1/2 (pow.f64 N 2)))
(+.f64 N (+.f64 (*.f64 -1 (log.f64 N)) (+.f64 (*.f64 -1/2 (pow.f64 N 2)) (*.f64 1/3 (pow.f64 N 3)))))
(+.f64 N (fma.f64 -1 (log.f64 N) (fma.f64 -1/2 (pow.f64 N 2) (*.f64 1/3 (pow.f64 N 3)))))
(+.f64 N (-.f64 (fma.f64 -1/2 (pow.f64 N 2) (*.f64 1/3 (pow.f64 N 3))) (log.f64 N)))
(/.f64 1 N)
(-.f64 (/.f64 1 N) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (/.f64 1 N) (/.f64 1/2 (pow.f64 N 2)))
(+.f64 (/.f64 1 N) (*.f64 -1/2 (pow.f64 N -2)))
(-.f64 (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 N 3))) (/.f64 1 N)) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (-.f64 (/.f64 1 N) (/.f64 1/2 (pow.f64 N 2))))
(+.f64 (/.f64 1 N) (-.f64 (/.f64 1/3 (pow.f64 N 3)) (*.f64 1/2 (pow.f64 N -2))))
(-.f64 (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 N 3))) (/.f64 1 N)) (+.f64 (*.f64 1/4 (/.f64 1 (pow.f64 N 4))) (*.f64 1/2 (/.f64 1 (pow.f64 N 2)))))
(-.f64 (+.f64 (/.f64 1 N) (/.f64 1/3 (pow.f64 N 3))) (+.f64 (/.f64 1/2 (pow.f64 N 2)) (/.f64 1/4 (pow.f64 N 4))))
(+.f64 (/.f64 1 N) (-.f64 (/.f64 1/3 (pow.f64 N 3)) (fma.f64 1/2 (pow.f64 N -2) (/.f64 1/4 (pow.f64 N 4)))))
(/.f64 1 N)
(-.f64 (/.f64 1 N) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (/.f64 1 N) (/.f64 1/2 (pow.f64 N 2)))
(+.f64 (/.f64 1 N) (*.f64 -1/2 (pow.f64 N -2)))
(-.f64 (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 N 3))) (/.f64 1 N)) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (-.f64 (/.f64 1 N) (/.f64 1/2 (pow.f64 N 2))))
(+.f64 (/.f64 1 N) (-.f64 (/.f64 1/3 (pow.f64 N 3)) (*.f64 1/2 (pow.f64 N -2))))
(-.f64 (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 N 3))) (/.f64 1 N)) (+.f64 (*.f64 1/4 (/.f64 1 (pow.f64 N 4))) (*.f64 1/2 (/.f64 1 (pow.f64 N 2)))))
(-.f64 (+.f64 (/.f64 1 N) (/.f64 1/3 (pow.f64 N 3))) (+.f64 (/.f64 1/2 (pow.f64 N 2)) (/.f64 1/4 (pow.f64 N 4))))
(+.f64 (/.f64 1 N) (-.f64 (/.f64 1/3 (pow.f64 N 3)) (fma.f64 1/2 (pow.f64 N -2) (/.f64 1/4 (pow.f64 N 4)))))
(/.f64 -1/2 (pow.f64 N 2))
(*.f64 -1/2 (pow.f64 N -2))
(-.f64 (/.f64 1 N) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (/.f64 1 N) (/.f64 1/2 (pow.f64 N 2)))
(+.f64 (/.f64 1 N) (*.f64 -1/2 (pow.f64 N -2)))
(-.f64 (/.f64 1 N) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (/.f64 1 N) (/.f64 1/2 (pow.f64 N 2)))
(+.f64 (/.f64 1 N) (*.f64 -1/2 (pow.f64 N -2)))
(-.f64 (/.f64 1 N) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (/.f64 1 N) (/.f64 1/2 (pow.f64 N 2)))
(+.f64 (/.f64 1 N) (*.f64 -1/2 (pow.f64 N -2)))
(/.f64 1 N)
(-.f64 (/.f64 1 N) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (/.f64 1 N) (/.f64 1/2 (pow.f64 N 2)))
(+.f64 (/.f64 1 N) (*.f64 -1/2 (pow.f64 N -2)))
(-.f64 (/.f64 1 N) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (/.f64 1 N) (/.f64 1/2 (pow.f64 N 2)))
(+.f64 (/.f64 1 N) (*.f64 -1/2 (pow.f64 N -2)))
(-.f64 (/.f64 1 N) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (/.f64 1 N) (/.f64 1/2 (pow.f64 N 2)))
(+.f64 (/.f64 1 N) (*.f64 -1/2 (pow.f64 N -2)))
(/.f64 1 N)
(-.f64 (/.f64 1 N) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (/.f64 1 N) (/.f64 1/2 (pow.f64 N 2)))
(+.f64 (/.f64 1 N) (*.f64 -1/2 (pow.f64 N -2)))
(-.f64 (/.f64 1 N) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (/.f64 1 N) (/.f64 1/2 (pow.f64 N 2)))
(+.f64 (/.f64 1 N) (*.f64 -1/2 (pow.f64 N -2)))
(-.f64 (/.f64 1 N) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (/.f64 1 N) (/.f64 1/2 (pow.f64 N 2)))
(+.f64 (/.f64 1 N) (*.f64 -1/2 (pow.f64 N -2)))
(*.f64 -1 (log.f64 N))
(neg.f64 (log.f64 N))
(+.f64 N (*.f64 -1 (log.f64 N)))
(+.f64 N (neg.f64 (log.f64 N)))
(-.f64 N (log.f64 N))
(+.f64 N (+.f64 (*.f64 -1 (log.f64 N)) (*.f64 -1/2 (pow.f64 N 2))))
(+.f64 N (fma.f64 -1 (log.f64 N) (*.f64 -1/2 (pow.f64 N 2))))
(+.f64 (-.f64 N (log.f64 N)) (*.f64 -1/2 (pow.f64 N 2)))
(+.f64 N (+.f64 (*.f64 -1 (log.f64 N)) (+.f64 (*.f64 -1/2 (pow.f64 N 2)) (*.f64 1/3 (pow.f64 N 3)))))
(+.f64 N (fma.f64 -1 (log.f64 N) (fma.f64 -1/2 (pow.f64 N 2) (*.f64 1/3 (pow.f64 N 3)))))
(+.f64 N (-.f64 (fma.f64 -1/2 (pow.f64 N 2) (*.f64 1/3 (pow.f64 N 3))) (log.f64 N)))
(/.f64 1 N)
(-.f64 (/.f64 1 N) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (/.f64 1 N) (/.f64 1/2 (pow.f64 N 2)))
(+.f64 (/.f64 1 N) (*.f64 -1/2 (pow.f64 N -2)))
(-.f64 (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 N 3))) (/.f64 1 N)) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (-.f64 (/.f64 1 N) (/.f64 1/2 (pow.f64 N 2))))
(+.f64 (/.f64 1 N) (-.f64 (/.f64 1/3 (pow.f64 N 3)) (*.f64 1/2 (pow.f64 N -2))))
(-.f64 (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 N 3))) (/.f64 1 N)) (+.f64 (*.f64 1/4 (/.f64 1 (pow.f64 N 4))) (*.f64 1/2 (/.f64 1 (pow.f64 N 2)))))
(-.f64 (+.f64 (/.f64 1 N) (/.f64 1/3 (pow.f64 N 3))) (+.f64 (/.f64 1/2 (pow.f64 N 2)) (/.f64 1/4 (pow.f64 N 4))))
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(*.f64 (-.f64 (pow.f64 N 12) (*.f64 1/4 (pow.f64 N 10))) (/.f64 1 (+.f64 (pow.f64 N 6) (*.f64 1/2 (pow.f64 N 5)))))
(/.f64 (+.f64 (pow.f64 N 12) (*.f64 (pow.f64 N 10) -1/4)) (fma.f64 1/2 (pow.f64 N 5) (pow.f64 N 6)))
(*.f64 (+.f64 (pow.f64 N 3) (*.f64 (pow.f64 N 5/2) (sqrt.f64 1/2))) (-.f64 (pow.f64 N 3) (*.f64 (pow.f64 N 5/2) (sqrt.f64 1/2))))
(*.f64 (+.f64 (pow.f64 N 3) (*.f64 (sqrt.f64 1/2) (pow.f64 N 5/2))) (-.f64 (pow.f64 N 3) (*.f64 (sqrt.f64 1/2) (pow.f64 N 5/2))))
(*.f64 (fma.f64 (sqrt.f64 1/2) (pow.f64 N 5/2) (pow.f64 N 3)) (-.f64 (pow.f64 N 3) (*.f64 (sqrt.f64 1/2) (pow.f64 N 5/2))))
(/.f64 1 (/.f64 (+.f64 (pow.f64 N 12) (+.f64 (*.f64 (pow.f64 N 10) 1/4) (*.f64 (*.f64 (pow.f64 N 6) 1/2) (pow.f64 N 5)))) (-.f64 (pow.f64 N 18) (*.f64 (pow.f64 (pow.f64 N 5) 3) 1/8))))
(*.f64 (-.f64 (pow.f64 N 18) (*.f64 1/8 (pow.f64 (pow.f64 N 5) 3))) (/.f64 1 (+.f64 (pow.f64 N 12) (fma.f64 (pow.f64 N 10) 1/4 (*.f64 (pow.f64 N 5) (*.f64 1/2 (pow.f64 N 6)))))))
(/.f64 (fma.f64 (pow.f64 (pow.f64 N 5) 3) -1/8 (pow.f64 N 18)) (+.f64 (pow.f64 N 12) (fma.f64 1/4 (pow.f64 N 10) (*.f64 (pow.f64 N 5) (*.f64 1/2 (pow.f64 N 6))))))
(/.f64 1 (/.f64 (+.f64 (pow.f64 N 6) (*.f64 1/2 (pow.f64 N 5))) (-.f64 (pow.f64 N 12) (*.f64 (pow.f64 N 10) 1/4))))
(*.f64 (-.f64 (pow.f64 N 12) (*.f64 1/4 (pow.f64 N 10))) (/.f64 1 (+.f64 (pow.f64 N 6) (*.f64 1/2 (pow.f64 N 5)))))
(/.f64 (+.f64 (pow.f64 N 12) (*.f64 (pow.f64 N 10) -1/4)) (fma.f64 1/2 (pow.f64 N 5) (pow.f64 N 6)))
(/.f64 (-.f64 (pow.f64 N 18) (*.f64 (pow.f64 (pow.f64 N 5) 3) 1/8)) (+.f64 (pow.f64 N 12) (+.f64 (*.f64 (pow.f64 N 10) 1/4) (*.f64 (*.f64 (pow.f64 N 6) 1/2) (pow.f64 N 5)))))
(*.f64 (-.f64 (pow.f64 N 18) (*.f64 1/8 (pow.f64 (pow.f64 N 5) 3))) (/.f64 1 (+.f64 (pow.f64 N 12) (fma.f64 (pow.f64 N 10) 1/4 (*.f64 (pow.f64 N 5) (*.f64 1/2 (pow.f64 N 6)))))))
(/.f64 (fma.f64 (pow.f64 (pow.f64 N 5) 3) -1/8 (pow.f64 N 18)) (+.f64 (pow.f64 N 12) (fma.f64 1/4 (pow.f64 N 10) (*.f64 (pow.f64 N 5) (*.f64 1/2 (pow.f64 N 6))))))
(/.f64 (-.f64 (pow.f64 N 12) (*.f64 (pow.f64 N 10) 1/4)) (+.f64 (pow.f64 N 6) (*.f64 1/2 (pow.f64 N 5))))
(*.f64 (-.f64 (pow.f64 N 12) (*.f64 1/4 (pow.f64 N 10))) (/.f64 1 (+.f64 (pow.f64 N 6) (*.f64 1/2 (pow.f64 N 5)))))
(/.f64 (+.f64 (pow.f64 N 12) (*.f64 (pow.f64 N 10) -1/4)) (fma.f64 1/2 (pow.f64 N 5) (pow.f64 N 6)))
(/.f64 (neg.f64 (-.f64 (pow.f64 N 18) (*.f64 (pow.f64 (pow.f64 N 5) 3) 1/8))) (neg.f64 (+.f64 (pow.f64 N 12) (+.f64 (*.f64 (pow.f64 N 10) 1/4) (*.f64 (*.f64 (pow.f64 N 6) 1/2) (pow.f64 N 5))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 N 18) (*.f64 1/8 (pow.f64 (pow.f64 N 5) 3)))) (neg.f64 (+.f64 (pow.f64 N 12) (fma.f64 (pow.f64 N 10) 1/4 (*.f64 (pow.f64 N 5) (*.f64 1/2 (pow.f64 N 6)))))))
(*.f64 1 (/.f64 (fma.f64 (pow.f64 (pow.f64 N 5) 3) -1/8 (pow.f64 N 18)) (+.f64 (pow.f64 N 12) (fma.f64 1/4 (pow.f64 N 10) (*.f64 (pow.f64 N 5) (*.f64 1/2 (pow.f64 N 6)))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 N 12) (*.f64 (pow.f64 N 10) 1/4))) (neg.f64 (+.f64 (pow.f64 N 6) (*.f64 1/2 (pow.f64 N 5)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 N 12) (*.f64 1/4 (pow.f64 N 10)))) (neg.f64 (+.f64 (pow.f64 N 6) (*.f64 1/2 (pow.f64 N 5)))))
(*.f64 1 (/.f64 (+.f64 (pow.f64 N 12) (*.f64 (pow.f64 N 10) -1/4)) (fma.f64 1/2 (pow.f64 N 5) (pow.f64 N 6))))
(/.f64 (+.f64 (pow.f64 N 18) (pow.f64 (*.f64 (pow.f64 N 5) -1/2) 3)) (+.f64 (pow.f64 N 12) (-.f64 (*.f64 (*.f64 (pow.f64 N 5) -1/2) (*.f64 (pow.f64 N 5) -1/2)) (*.f64 (pow.f64 N 6) (*.f64 (pow.f64 N 5) -1/2)))))
(*.f64 (-.f64 (pow.f64 N 18) (*.f64 1/8 (pow.f64 (pow.f64 N 5) 3))) (/.f64 1 (+.f64 (pow.f64 N 12) (fma.f64 (pow.f64 N 10) 1/4 (*.f64 (pow.f64 N 5) (*.f64 1/2 (pow.f64 N 6)))))))
(/.f64 (fma.f64 (pow.f64 (pow.f64 N 5) 3) -1/8 (pow.f64 N 18)) (+.f64 (pow.f64 N 12) (fma.f64 1/4 (pow.f64 N 10) (*.f64 (pow.f64 N 5) (*.f64 1/2 (pow.f64 N 6))))))
(/.f64 (-.f64 (pow.f64 N 12) (*.f64 (*.f64 (pow.f64 N 5) -1/2) (*.f64 (pow.f64 N 5) -1/2))) (-.f64 (pow.f64 N 6) (*.f64 (pow.f64 N 5) -1/2)))
(*.f64 (-.f64 (pow.f64 N 12) (*.f64 1/4 (pow.f64 N 10))) (/.f64 1 (+.f64 (pow.f64 N 6) (*.f64 1/2 (pow.f64 N 5)))))
(/.f64 (+.f64 (pow.f64 N 12) (*.f64 (pow.f64 N 10) -1/4)) (fma.f64 1/2 (pow.f64 N 5) (pow.f64 N 6)))
(pow.f64 (+.f64 (pow.f64 N 6) (*.f64 (pow.f64 N 5) -1/2)) 1)
(fma.f64 -1/2 (pow.f64 N 5) (pow.f64 N 6))
(pow.f64 (cbrt.f64 (+.f64 (pow.f64 N 6) (*.f64 (pow.f64 N 5) -1/2))) 3)
(fma.f64 -1/2 (pow.f64 N 5) (pow.f64 N 6))
(pow.f64 (pow.f64 (+.f64 (pow.f64 N 6) (*.f64 (pow.f64 N 5) -1/2)) 3) 1/3)
(fma.f64 -1/2 (pow.f64 N 5) (pow.f64 N 6))
(pow.f64 (sqrt.f64 (+.f64 (pow.f64 N 6) (*.f64 (pow.f64 N 5) -1/2))) 2)
(fma.f64 -1/2 (pow.f64 N 5) (pow.f64 N 6))
(sqrt.f64 (pow.f64 (+.f64 (pow.f64 N 6) (*.f64 (pow.f64 N 5) -1/2)) 2))
(sqrt.f64 (pow.f64 (fma.f64 -1/2 (pow.f64 N 5) (pow.f64 N 6)) 2))
(fabs.f64 (fma.f64 -1/2 (pow.f64 N 5) (pow.f64 N 6)))
(log.f64 (exp.f64 (+.f64 (pow.f64 N 6) (*.f64 (pow.f64 N 5) -1/2))))
(fma.f64 -1/2 (pow.f64 N 5) (pow.f64 N 6))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 (pow.f64 N 6) (*.f64 (pow.f64 N 5) -1/2)))))
(fma.f64 -1/2 (pow.f64 N 5) (pow.f64 N 6))
(cbrt.f64 (pow.f64 (+.f64 (pow.f64 N 6) (*.f64 (pow.f64 N 5) -1/2)) 3))
(fma.f64 -1/2 (pow.f64 N 5) (pow.f64 N 6))
(expm1.f64 (log1p.f64 (+.f64 (pow.f64 N 6) (*.f64 (pow.f64 N 5) -1/2))))
(expm1.f64 (log1p.f64 (fma.f64 -1/2 (pow.f64 N 5) (pow.f64 N 6))))
(log1p.f64 (expm1.f64 (+.f64 (pow.f64 N 6) (*.f64 (pow.f64 N 5) -1/2))))
(fma.f64 -1/2 (pow.f64 N 5) (pow.f64 N 6))
(exp.f64 (log.f64 (+.f64 (pow.f64 N 6) (*.f64 (pow.f64 N 5) -1/2))))
(fma.f64 -1/2 (pow.f64 N 5) (pow.f64 N 6))
(exp.f64 (*.f64 (log.f64 (+.f64 (pow.f64 N 6) (*.f64 (pow.f64 N 5) -1/2))) 1))
(fma.f64 -1/2 (pow.f64 N 5) (pow.f64 N 6))
(fma.f64 1 (pow.f64 N 6) (*.f64 (pow.f64 N 5) -1/2))
(fma.f64 -1/2 (pow.f64 N 5) (pow.f64 N 6))
(fma.f64 (pow.f64 N 4) (pow.f64 N 2) (*.f64 (pow.f64 N 5) -1/2))
(fma.f64 -1/2 (pow.f64 N 5) (pow.f64 N 6))
(fma.f64 (pow.f64 N 3) (pow.f64 N 3) (*.f64 (pow.f64 N 5) -1/2))
(fma.f64 -1/2 (pow.f64 N 5) (pow.f64 N 6))

eval297.0ms (3.3%)

Compiler

Compiled 12077 to 9727 computations (19.5% saved)

prune106.0ms (1.2%)

Pruning

10 alts after pruning (8 fresh and 2 done)

PrunedKeptTotal
New5906596
Fresh325
Picked415
Done011
Total59710607
Accuracy
100.0%
Counts
607 → 10
Alt Table
Click to see full alt table
StatusAccuracyProgram
94.1%
(pow.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 1/3) 3)
99.3%
(pow.f64 (sqrt.f64 (log1p.f64 (/.f64 1 N))) 2)
85.6%
(pow.f64 (cbrt.f64 (/.f64 1 N)) 3)
93.8%
(/.f64 1 (/.f64 (pow.f64 N 3) (*.f64 N (-.f64 N 1/2))))
87.0%
(/.f64 1 N)
99.8%
(-.f64 (log1p.f64 (neg.f64 (/.f64 (/.f64 1 N) N))) (log1p.f64 (/.f64 -1 N)))
93.8%
(*.f64 (pow.f64 N -2) (+.f64 N -1/2))
93.6%
(*.f64 N (*.f64 (+.f64 N -1/2) (pow.f64 N -3)))
99.9%
(log1p.f64 (/.f64 1 N))
98.9%
(cbrt.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 3))
Compiler

Compiled 919 to 669 computations (27.2% saved)

regimes39.0ms (0.4%)

Counts
58 → 1
Calls
Call 1
Inputs
(/.f64 1 N)
(log1p.f64 (/.f64 1 N))
(log.f64 (+.f64 1 (/.f64 1 N)))
(log.f64 (/.f64 (+.f64 N 1) N))
(neg.f64 (log.f64 (/.f64 N (+.f64 N 1))))
(*.f64 (pow.f64 N -2) (+.f64 N -1/2))
(log1p.f64 (+.f64 1 (+.f64 (/.f64 1 N) -1)))
(*.f64 2 (log.f64 (+.f64 1 (/.f64 1/2 N))))
(*.f64 N (*.f64 (+.f64 N -1/2) (pow.f64 N -3)))
(-.f64 (/.f64 1 N) (/.f64 1/2 (pow.f64 N 2)))
(/.f64 1 (/.f64 (pow.f64 N 3) (*.f64 N (-.f64 N 1/2))))
(-.f64 (log1p.f64 N) (log.f64 N))
(pow.f64 (cbrt.f64 (/.f64 1 N)) 3)
(-.f64 (log.f64 (+.f64 N 1)) (log.f64 N))
(exp.f64 (-.f64 (neg.f64 (log.f64 N)) (/.f64 1/2 N)))
(*.f64 2 (log.f64 (sqrt.f64 (/.f64 (+.f64 N 1) N))))
(*.f64 2 (*.f64 2 (log.f64 (pow.f64 (/.f64 (+.f64 N 1) N) 1/4))))
(-.f64 (log1p.f64 (neg.f64 (/.f64 (/.f64 1 N) N))) (log1p.f64 (/.f64 -1 N)))
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (-.f64 (/.f64 1 N) (/.f64 1/2 (pow.f64 N 2))))
(+.f64 (/.f64 1 N) (+.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 -1/2 (pow.f64 N 2))))
(cbrt.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 3))
(pow.f64 (cbrt.f64 (log1p.f64 (/.f64 1 N))) 3)
(pow.f64 (sqrt.f64 (log1p.f64 (/.f64 1 N))) 2)
(pow.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 1/3) 3)
(-.f64 (log1p.f64 (neg.f64 (pow.f64 N -2))) (log1p.f64 (/.f64 -1 N)))
(exp.f64 (+.f64 (-.f64 (/.f64 5/24 (pow.f64 N 2)) (log.f64 N)) (/.f64 -1/2 N)))
(exp.f64 (+.f64 (neg.f64 (log.f64 N)) (-.f64 (/.f64 5/24 (pow.f64 N 2)) (/.f64 1/2 N))))
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (-.f64 (/.f64 1 N) (+.f64 (/.f64 1/2 (pow.f64 N 2)) (/.f64 1/4 (pow.f64 N 4)))))
(exp.f64 (log.f64 (-.f64 (log1p.f64 N) (log.f64 N))))
(expm1.f64 (log1p.f64 (-.f64 (log1p.f64 N) (log.f64 N))))
(pow.f64 (E.f64) (log.f64 (-.f64 (log1p.f64 N) (log.f64 N))))
(exp.f64 (log.f64 (*.f64 2 (log.f64 (sqrt.f64 (/.f64 (+.f64 N 1) N))))))
(-.f64 (log1p.f64 (pow.f64 N -3)) (log1p.f64 (-.f64 (pow.f64 N -2) (/.f64 1 N))))
(*.f64 2 (+.f64 (*.f64 1/3 (-.f64 (log1p.f64 N) (log.f64 N))) (log.f64 (pow.f64 (/.f64 (+.f64 N 1) N) 1/6))))
(exp.f64 (+.f64 (-.f64 (-.f64 (/.f64 5/24 (pow.f64 N 2)) (log.f64 N)) (/.f64 1/8 (pow.f64 N 3))) (/.f64 -1/2 N)))
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 (-.f64 (pow.f64 N 6) (*.f64 1/2 (pow.f64 N 5))) (*.f64 N (pow.f64 N 6))))
(+.f64 (log.f64 (cbrt.f64 (pow.f64 (/.f64 (+.f64 N 1) N) 2))) (log.f64 (cbrt.f64 (/.f64 (+.f64 N 1) N))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 N 1) N)) 2)) (log.f64 (cbrt.f64 (/.f64 (+.f64 N 1) N))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 N 1) N)) 2)) (*.f64 1/3 (-.f64 (log1p.f64 N) (log.f64 N))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 N 1) N)) 2)) (*.f64 2 (log.f64 (pow.f64 (/.f64 (+.f64 N 1) N) 1/6))))
(exp.f64 (pow.f64 (cbrt.f64 (log.f64 (-.f64 (log1p.f64 N) (log.f64 N)))) 3))
(fma.f64 (sqrt.f64 (log1p.f64 N)) (sqrt.f64 (log1p.f64 N)) (neg.f64 (log.f64 N)))
(/.f64 (-.f64 (pow.f64 (log1p.f64 N) 2) (pow.f64 (log.f64 N) 2)) (+.f64 (log1p.f64 N) (log.f64 N)))
(+.f64 (fma.f64 1/3 (pow.f64 N -3) (/.f64 -1/2 (pow.f64 N 2))) (/.f64 (cbrt.f64 (pow.f64 N -2)) (cbrt.f64 N)))
(fma.f64 (sqrt.f64 (/.f64 1 N)) (sqrt.f64 (/.f64 1 N)) (fma.f64 1/3 (pow.f64 N -3) (/.f64 -1/2 (pow.f64 N 2))))
(+.f64 (-.f64 (exp.f64 (log1p.f64 (*.f64 2 (*.f64 1/3 (-.f64 (log1p.f64 N) (log.f64 N)))))) 1) (log.f64 (cbrt.f64 (/.f64 (+.f64 N 1) N))))
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (exp.f64 (log.f64 (-.f64 (/.f64 1 N) (fma.f64 1/4 (pow.f64 N -4) (*.f64 1/2 (pow.f64 N -2)))))))
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (cbrt.f64 (pow.f64 (-.f64 (/.f64 1 N) (fma.f64 1/4 (pow.f64 N -4) (*.f64 1/2 (pow.f64 N -2)))) 3)))
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (pow.f64 (cbrt.f64 (-.f64 (/.f64 1 N) (fma.f64 1/4 (pow.f64 N -4) (*.f64 1/2 (pow.f64 N -2))))) 3))
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (pow.f64 (sqrt.f64 (-.f64 (/.f64 1 N) (fma.f64 1/4 (pow.f64 N -4) (*.f64 1/2 (pow.f64 N -2))))) 2))
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (pow.f64 (pow.f64 (-.f64 (/.f64 1 N) (fma.f64 1/4 (pow.f64 N -4) (*.f64 1/2 (pow.f64 N -2)))) 3) 1/3))
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 (-.f64 (pow.f64 N 6) (*.f64 N (fma.f64 1/2 (pow.f64 N 4) (*.f64 (pow.f64 N 2) 1/4)))) (pow.f64 N 7)))
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 (-.f64 (pow.f64 N 6) (*.f64 N (fma.f64 1/2 (pow.f64 N 4) (*.f64 (pow.f64 N 2) 1/4)))) (*.f64 N (pow.f64 N 6))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 N 1) N)) 2)) (-.f64 (log.f64 (cbrt.f64 (+.f64 N 1))) (log.f64 (cbrt.f64 N))))
(+.f64 (log.f64 (-.f64 (exp.f64 (log1p.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 N 1) N)) 2))) 1)) (log.f64 (cbrt.f64 (/.f64 (+.f64 N 1) N))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 N 1) N)) 2)) (pow.f64 (pow.f64 (*.f64 1/3 (-.f64 (log1p.f64 N) (log.f64 N))) 3) 1/3))
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (fma.f64 (pow.f64 N -1/2) (pow.f64 N -1/2) (neg.f64 (fma.f64 1/4 (pow.f64 N -4) (*.f64 1/2 (pow.f64 N -2))))))
(exp.f64 (-.f64 (log.f64 (+.f64 (*.f64 8 (pow.f64 (*.f64 1/3 (-.f64 (log1p.f64 N) (log.f64 N))) 3)) (pow.f64 (*.f64 1/3 (-.f64 (log1p.f64 N) (log.f64 N))) 3))) (log.f64 (-.f64 (+.f64 (pow.f64 (*.f64 2 (*.f64 1/3 (-.f64 (log1p.f64 N) (log.f64 N)))) 2) (pow.f64 (*.f64 1/3 (-.f64 (log1p.f64 N) (log.f64 N))) 2)) (*.f64 2 (pow.f64 (*.f64 1/3 (-.f64 (log1p.f64 N) (log.f64 N))) 2))))))
Outputs
(log1p.f64 (/.f64 1 N))
Calls

2 calls:

28.0ms
N
7.0ms
(-.f64 (log.f64 (+.f64 N 1)) (log.f64 N))
Results
AccuracySegmentsBranch
99.9%1N
99.9%1(-.f64 (log.f64 (+.f64 N 1)) (log.f64 N))
Compiler

Compiled 10 to 7 computations (30% saved)

regimes3.0ms (0%)

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts
1 → 1
Calls
Call 1
Inputs
(/.f64 1 N)
Outputs
(/.f64 1 N)
Calls

1 calls:

3.0ms
N
Results
AccuracySegmentsBranch
87.0%1N
Compiler

Compiled 2 to 1 computations (50% saved)

simplify2.0ms (0%)

Algorithm
egg-herbie
Rules
1-exp
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0924
11424
Stop Event
fuel
saturated
Calls
Call 1
Inputs
(log1p.f64 (/.f64 1 N))
(/.f64 1 N)
Outputs
(log1p.f64 (/.f64 1 N))
(/.f64 1 N)
Compiler

Compiled 9 to 7 computations (22.2% saved)

soundness906.0ms (10.1%)

Rules
1624×fma-define
1076×associate-+l+
976×associate-+r+
916×cancel-sign-sub-inv
818×times-frac
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
017128
133104
263100
3109100
4175100
5268100
6346100
7405100
8457100
9492100
10518100
11520100
0921
19221
2120121
036325
1560321
0115427304
1283424334
052503
1850433
066017180
1136316851
2399416385
Stop Event
node limit
node limit
node limit
node limit
node limit
saturated
Compiler

Compiled 164 to 116 computations (29.3% saved)

end0.0ms (0%)

preprocess34.0ms (0.4%)

Compiler

Compiled 42 to 32 computations (23.8% saved)

Profiling

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