2log (problem 3.3.6)

Time bar (total: 10.9s)

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)

sample1.5s (13.7%)

Results
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Bogosity

preprocess513.0ms (4.7%)

Algorithm
egg-herbie
Rules
1728×fma-neg
1624×fma-define
930×distribute-lft-in
812×distribute-rgt-in
698×associate-+r+
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
2550-1(9.392396148573901)(-.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: 6 (0.0ms)

IterNodesCost
017128
144104
2111100
3197100
4331100
5564100
680296
7127896
8197696
9343196
10407096
11407496
12407496
13614696
14658396
15704996
16704996
17743496
18783596
Stop Event
node limit
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)))
(-.f64 (log.f64 (+.f64 N -1)) (log.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)))
(-.f64 (log.f64 N) (log.f64 (+.f64 N -1)))
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 (0.3%)

Localize:

Found 2 expressions with local error:

NewAccuracyProgram
100.0%
(log1p.f64 N)
20.6%
(-.f64 (log1p.f64 N) (log.f64 N))
Compiler

Compiled 12 to 5 computations (58.3% saved)

series5.0ms (0%)

Counts
2 → 24
Calls

6 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))
1.0ms
N
@0
(log1p.f64 N)
1.0ms
N
@-inf
(log1p.f64 N)

rewrite251.0ms (2.3%)

Algorithm
batch-egg-rewrite
Rules
1064×fma-define
788×prod-diff
606×unpow-prod-down
478×log1p-expm1-u
478×expm1-log1p-u
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0929
19729
2134229
Stop Event
node limit
Counts
2 → 154
Calls
Call 1
Inputs
(-.f64 (log1p.f64 N) (log.f64 N))
(log1p.f64 N)
Outputs
(+.f64 (log1p.f64 N) (neg.f64 (log.f64 N)))
(+.f64 (log1p.f64 N) (*.f64 (neg.f64 (log.f64 N)) 1))
(+.f64 (log1p.f64 N) (+.f64 0 (neg.f64 (log.f64 N))))
(+.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 0)
(+.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 (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 2) (-.f64 (log1p.f64 N) (log.f64 N)))
(/.f64 (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 3) (+.f64 (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 2) (-.f64 0 (*.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 0))))
(/.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 (log1p.f64 N) 1 (+.f64 0 (neg.f64 (log.f64 N))))
(fma.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 1 0)
(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 (log1p.f64 N) (+.f64 0 (neg.f64 (log.f64 N))))
(fma.f64 1 (-.f64 (log1p.f64 N) (log.f64 N)) 0)
(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 (cbrt.f64 (log1p.f64 N)) (pow.f64 (cbrt.f64 (log1p.f64 N)) 2) (+.f64 0 (neg.f64 (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 (log1p.f64 N)) 2) (cbrt.f64 (log1p.f64 N)) (*.f64 (neg.f64 (log.f64 N)) 1))
(fma.f64 (pow.f64 (cbrt.f64 (log1p.f64 N)) 2) (cbrt.f64 (log1p.f64 N)) (+.f64 0 (neg.f64 (log.f64 N))))
(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) 0)
(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))) 0)
(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 (log1p.f64 N)) (sqrt.f64 (log1p.f64 N)) (+.f64 0 (neg.f64 (log.f64 N))))
(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))) 0)
(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))) 0)
(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))) 0)
(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))) 0)
(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))
(+.f64 (log1p.f64 N) 0)
(+.f64 0 (log1p.f64 N))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (+.f64 N 1)) 2)) (log.f64 (cbrt.f64 (+.f64 N 1))))
(+.f64 (log.f64 (sqrt.f64 (+.f64 N 1))) (log.f64 (sqrt.f64 (+.f64 N 1))))
(-.f64 (log1p.f64 N) 0)
(-.f64 (log1p.f64 (pow.f64 N 3)) (log.f64 (+.f64 1 (-.f64 (pow.f64 N 2) N))))
(-.f64 (+.f64 1 (log1p.f64 N)) 1)
(-.f64 (log.f64 (-.f64 1 (pow.f64 N 2))) (log.f64 (-.f64 1 N)))
(*.f64 (log1p.f64 N) 1)
(*.f64 (log1p.f64 N) (log.f64 (E.f64)))
(*.f64 1 (log1p.f64 N))
(*.f64 (cbrt.f64 (log1p.f64 N)) (pow.f64 (cbrt.f64 (log1p.f64 N)) 2))
(*.f64 (pow.f64 (cbrt.f64 (log1p.f64 N)) 2) (cbrt.f64 (log1p.f64 N)))
(*.f64 (sqrt.f64 (log1p.f64 N)) (sqrt.f64 (log1p.f64 N)))
(*.f64 (pow.f64 1 1/3) (log1p.f64 N))
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (log1p.f64 N))) 3) (pow.f64 (sqrt.f64 (cbrt.f64 (log1p.f64 N))) 3))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 N))) 2) 3) (cbrt.f64 (log1p.f64 N)))
(*.f64 (pow.f64 (pow.f64 (*.f64 (log1p.f64 N) (cbrt.f64 (log1p.f64 N))) 2) 1/3) (cbrt.f64 (cbrt.f64 (log1p.f64 N))))
(*.f64 (pow.f64 (pow.f64 (log1p.f64 N) 5/2) 1/3) (cbrt.f64 (sqrt.f64 (log1p.f64 N))))
(/.f64 (pow.f64 (log1p.f64 N) 2) (log1p.f64 N))
(/.f64 (pow.f64 (log1p.f64 N) 3) (+.f64 (pow.f64 (log1p.f64 N) 2) (-.f64 0 (*.f64 (log1p.f64 N) 0))))
(pow.f64 (log1p.f64 N) 1)
(pow.f64 (cbrt.f64 (log1p.f64 N)) 3)
(pow.f64 (pow.f64 (log1p.f64 N) 2) 1/2)
(pow.f64 (pow.f64 (log1p.f64 N) 3) 1/3)
(pow.f64 (sqrt.f64 (log1p.f64 N)) 2)
(pow.f64 (E.f64) (log.f64 (log1p.f64 N)))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (log1p.f64 N))) 2)) (cbrt.f64 (log.f64 (log1p.f64 N))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (log1p.f64 N)))) (sqrt.f64 (log.f64 (log1p.f64 N))))
(sqrt.f64 (pow.f64 (log1p.f64 N) 2))
(log.f64 (+.f64 N 1))
(cbrt.f64 (pow.f64 (log1p.f64 N) 3))
(expm1.f64 (log1p.f64 (log1p.f64 N)))
(exp.f64 (log.f64 (log1p.f64 N)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (log1p.f64 N))) 3))
(exp.f64 (*.f64 (*.f64 (log.f64 (log1p.f64 N)) 3) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (log1p.f64 N))) 2))
(fma.f64 (log1p.f64 N) 1 0)
(fma.f64 1 (log1p.f64 N) 0)
(fma.f64 (cbrt.f64 (log1p.f64 N)) (pow.f64 (cbrt.f64 (log1p.f64 N)) 2) 0)
(fma.f64 (pow.f64 (cbrt.f64 (log1p.f64 N)) 2) (cbrt.f64 (log1p.f64 N)) 0)
(fma.f64 (sqrt.f64 (log1p.f64 N)) (sqrt.f64 (log1p.f64 N)) 0)

simplify146.0ms (1.3%)

Algorithm
egg-herbie
Rules
1228×fma-neg
1036×unswap-sqr
844×add0
564×fma-define
542×+-commutative
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
03575433
111715179
238205155
Stop Event
node limit
Counts
178 → 238
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)))))
N
(+.f64 N (*.f64 -1/2 (pow.f64 N 2)))
(+.f64 N (+.f64 (*.f64 -1/2 (pow.f64 N 2)) (*.f64 1/3 (pow.f64 N 3))))
(+.f64 N (+.f64 (*.f64 -1/2 (pow.f64 N 2)) (+.f64 (*.f64 -1/4 (pow.f64 N 4)) (*.f64 1/3 (pow.f64 N 3)))))
(*.f64 -1 (log.f64 (/.f64 1 N)))
(+.f64 (*.f64 -1 (log.f64 (/.f64 1 N))) (/.f64 1 N))
(-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 N))) (/.f64 1 N)) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 N))) (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 N 3))) (/.f64 1 N))) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 N))))
(+.f64 (log.f64 -1) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 N))) (/.f64 1 N)))
(-.f64 (+.f64 (log.f64 -1) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 N))) (/.f64 1 N))) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (+.f64 (log.f64 -1) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 N))) (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 N 3))) (/.f64 1 N)))) (*.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 (log1p.f64 N) (+.f64 0 (neg.f64 (log.f64 N))))
(+.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 0)
(+.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 (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 2) (-.f64 (log1p.f64 N) (log.f64 N)))
(/.f64 (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 3) (+.f64 (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 2) (-.f64 0 (*.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 0))))
(/.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 (log1p.f64 N) 1 (+.f64 0 (neg.f64 (log.f64 N))))
(fma.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 1 0)
(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 (log1p.f64 N) (+.f64 0 (neg.f64 (log.f64 N))))
(fma.f64 1 (-.f64 (log1p.f64 N) (log.f64 N)) 0)
(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 (cbrt.f64 (log1p.f64 N)) (pow.f64 (cbrt.f64 (log1p.f64 N)) 2) (+.f64 0 (neg.f64 (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 (log1p.f64 N)) 2) (cbrt.f64 (log1p.f64 N)) (*.f64 (neg.f64 (log.f64 N)) 1))
(fma.f64 (pow.f64 (cbrt.f64 (log1p.f64 N)) 2) (cbrt.f64 (log1p.f64 N)) (+.f64 0 (neg.f64 (log.f64 N))))
(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) 0)
(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))) 0)
(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 (log1p.f64 N)) (sqrt.f64 (log1p.f64 N)) (+.f64 0 (neg.f64 (log.f64 N))))
(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))) 0)
(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))) 0)
(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))) 0)
(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))) 0)
(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))
(+.f64 (log1p.f64 N) 0)
(+.f64 0 (log1p.f64 N))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (+.f64 N 1)) 2)) (log.f64 (cbrt.f64 (+.f64 N 1))))
(+.f64 (log.f64 (sqrt.f64 (+.f64 N 1))) (log.f64 (sqrt.f64 (+.f64 N 1))))
(-.f64 (log1p.f64 N) 0)
(-.f64 (log1p.f64 (pow.f64 N 3)) (log.f64 (+.f64 1 (-.f64 (pow.f64 N 2) N))))
(-.f64 (+.f64 1 (log1p.f64 N)) 1)
(-.f64 (log.f64 (-.f64 1 (pow.f64 N 2))) (log.f64 (-.f64 1 N)))
(*.f64 (log1p.f64 N) 1)
(*.f64 (log1p.f64 N) (log.f64 (E.f64)))
(*.f64 1 (log1p.f64 N))
(*.f64 (cbrt.f64 (log1p.f64 N)) (pow.f64 (cbrt.f64 (log1p.f64 N)) 2))
(*.f64 (pow.f64 (cbrt.f64 (log1p.f64 N)) 2) (cbrt.f64 (log1p.f64 N)))
(*.f64 (sqrt.f64 (log1p.f64 N)) (sqrt.f64 (log1p.f64 N)))
(*.f64 (pow.f64 1 1/3) (log1p.f64 N))
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (log1p.f64 N))) 3) (pow.f64 (sqrt.f64 (cbrt.f64 (log1p.f64 N))) 3))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 N))) 2) 3) (cbrt.f64 (log1p.f64 N)))
(*.f64 (pow.f64 (pow.f64 (*.f64 (log1p.f64 N) (cbrt.f64 (log1p.f64 N))) 2) 1/3) (cbrt.f64 (cbrt.f64 (log1p.f64 N))))
(*.f64 (pow.f64 (pow.f64 (log1p.f64 N) 5/2) 1/3) (cbrt.f64 (sqrt.f64 (log1p.f64 N))))
(/.f64 (pow.f64 (log1p.f64 N) 2) (log1p.f64 N))
(/.f64 (pow.f64 (log1p.f64 N) 3) (+.f64 (pow.f64 (log1p.f64 N) 2) (-.f64 0 (*.f64 (log1p.f64 N) 0))))
(pow.f64 (log1p.f64 N) 1)
(pow.f64 (cbrt.f64 (log1p.f64 N)) 3)
(pow.f64 (pow.f64 (log1p.f64 N) 2) 1/2)
(pow.f64 (pow.f64 (log1p.f64 N) 3) 1/3)
(pow.f64 (sqrt.f64 (log1p.f64 N)) 2)
(pow.f64 (E.f64) (log.f64 (log1p.f64 N)))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (log1p.f64 N))) 2)) (cbrt.f64 (log.f64 (log1p.f64 N))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (log1p.f64 N)))) (sqrt.f64 (log.f64 (log1p.f64 N))))
(sqrt.f64 (pow.f64 (log1p.f64 N) 2))
(log.f64 (+.f64 N 1))
(cbrt.f64 (pow.f64 (log1p.f64 N) 3))
(expm1.f64 (log1p.f64 (log1p.f64 N)))
(exp.f64 (log.f64 (log1p.f64 N)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (log1p.f64 N))) 3))
(exp.f64 (*.f64 (*.f64 (log.f64 (log1p.f64 N)) 3) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (log1p.f64 N))) 2))
(fma.f64 (log1p.f64 N) 1 0)
(fma.f64 1 (log1p.f64 N) 0)
(fma.f64 (cbrt.f64 (log1p.f64 N)) (pow.f64 (cbrt.f64 (log1p.f64 N)) 2) 0)
(fma.f64 (pow.f64 (cbrt.f64 (log1p.f64 N)) 2) (cbrt.f64 (log1p.f64 N)) 0)
(fma.f64 (sqrt.f64 (log1p.f64 N)) (sqrt.f64 (log1p.f64 N)) 0)
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 -1/2 (pow.f64 N 2)) (-.f64 N (log.f64 N)))
(-.f64 (fma.f64 -1/2 (pow.f64 N 2) 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 (-.f64 (fma.f64 -1/2 (pow.f64 N 2) N) (log.f64 N)) (*.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 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 (/.f64 1 N) (/.f64 -1/2 (pow.f64 N 2))) (/.f64 1/3 (pow.f64 N 3)))
(-.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 (/.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)))
(-.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 (/.f64 1 N) (/.f64 -1/2 (pow.f64 N 2))) (/.f64 1/3 (pow.f64 N 3)))
(-.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 (/.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)))))
N
(+.f64 N (*.f64 -1/2 (pow.f64 N 2)))
(fma.f64 -1/2 (pow.f64 N 2) N)
(+.f64 N (+.f64 (*.f64 -1/2 (pow.f64 N 2)) (*.f64 1/3 (pow.f64 N 3))))
(+.f64 N (fma.f64 -1/2 (pow.f64 N 2) (*.f64 1/3 (pow.f64 N 3))))
(+.f64 (*.f64 1/3 (pow.f64 N 3)) (fma.f64 -1/2 (pow.f64 N 2) N))
(+.f64 N (+.f64 (*.f64 -1/2 (pow.f64 N 2)) (+.f64 (*.f64 -1/4 (pow.f64 N 4)) (*.f64 1/3 (pow.f64 N 3)))))
(+.f64 N (fma.f64 -1/2 (pow.f64 N 2) (fma.f64 -1/4 (pow.f64 N 4) (*.f64 1/3 (pow.f64 N 3)))))
(+.f64 N (fma.f64 -1/2 (pow.f64 N 2) (fma.f64 1/3 (pow.f64 N 3) (*.f64 (pow.f64 N 4) -1/4))))
(*.f64 -1 (log.f64 (/.f64 1 N)))
(neg.f64 (neg.f64 (log.f64 N)))
(log.f64 N)
(+.f64 (*.f64 -1 (log.f64 (/.f64 1 N))) (/.f64 1 N))
(fma.f64 -1 (neg.f64 (log.f64 N)) (/.f64 1 N))
(+.f64 (log.f64 N) (/.f64 1 N))
(-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 N))) (/.f64 1 N)) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (fma.f64 -1 (neg.f64 (log.f64 N)) (/.f64 1 N)) (/.f64 1/2 (pow.f64 N 2)))
(+.f64 (log.f64 N) (+.f64 (/.f64 1 N) (/.f64 -1/2 (pow.f64 N 2))))
(-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 N))) (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 N 3))) (/.f64 1 N))) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (fma.f64 -1 (neg.f64 (log.f64 N)) (+.f64 (/.f64 1 N) (/.f64 1/3 (pow.f64 N 3)))) (/.f64 1/2 (pow.f64 N 2)))
(+.f64 (log.f64 N) (+.f64 (+.f64 (/.f64 1 N) (/.f64 -1/2 (pow.f64 N 2))) (/.f64 1/3 (pow.f64 N 3))))
(+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 N))))
(+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 N))))
(-.f64 (log.f64 -1) (log.f64 (/.f64 -1 N)))
(+.f64 (log.f64 -1) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 N))) (/.f64 1 N)))
(+.f64 (log.f64 -1) (fma.f64 -1 (log.f64 (/.f64 -1 N)) (/.f64 1 N)))
(+.f64 (/.f64 1 N) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 N))))
(-.f64 (+.f64 (log.f64 -1) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 N))) (/.f64 1 N))) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(+.f64 (log.f64 -1) (-.f64 (fma.f64 -1 (log.f64 (/.f64 -1 N)) (/.f64 1 N)) (/.f64 1/2 (pow.f64 N 2))))
(+.f64 (log.f64 -1) (+.f64 (-.f64 (/.f64 1 N) (log.f64 (/.f64 -1 N))) (/.f64 -1/2 (pow.f64 N 2))))
(+.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 N))) (+.f64 (/.f64 1 N) (/.f64 -1/2 (pow.f64 N 2))))
(-.f64 (+.f64 (log.f64 -1) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 N))) (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 N 3))) (/.f64 1 N)))) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(+.f64 (log.f64 -1) (-.f64 (fma.f64 -1 (log.f64 (/.f64 -1 N)) (+.f64 (/.f64 1 N) (/.f64 1/3 (pow.f64 N 3)))) (/.f64 1/2 (pow.f64 N 2))))
(+.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 N))) (+.f64 (+.f64 (/.f64 1 N) (/.f64 -1/2 (pow.f64 N 2))) (/.f64 1/3 (pow.f64 N 3))))
(+.f64 (log1p.f64 N) (neg.f64 (log.f64 N)))
(-.f64 (log1p.f64 N) (log.f64 N))
(+.f64 (log1p.f64 N) (*.f64 (neg.f64 (log.f64 N)) 1))
(-.f64 (log1p.f64 N) (log.f64 N))
(+.f64 (log1p.f64 N) (+.f64 0 (neg.f64 (log.f64 N))))
(-.f64 (log1p.f64 N) (log.f64 N))
(+.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 0)
(-.f64 (log1p.f64 N) (log.f64 N))
(+.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))
(+.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))
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(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)))
(-.f64 (log1p.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))) 0)
(-.f64 (log1p.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)))
(-.f64 (log1p.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 (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 (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)))
(-.f64 (log1p.f64 N) (log.f64 N))
(fma.f64 (sqrt.f64 (log1p.f64 N)) (sqrt.f64 (log1p.f64 N)) (neg.f64 (log.f64 N)))
(-.f64 (log1p.f64 N) (log.f64 N))
(fma.f64 (sqrt.f64 (log1p.f64 N)) (sqrt.f64 (log1p.f64 N)) (*.f64 (neg.f64 (log.f64 N)) 1))
(-.f64 (log1p.f64 N) (log.f64 N))
(fma.f64 (sqrt.f64 (log1p.f64 N)) (sqrt.f64 (log1p.f64 N)) (+.f64 0 (neg.f64 (log.f64 N))))
(-.f64 (log1p.f64 N) (log.f64 N))
(fma.f64 (sqrt.f64 (log.f64 N)) (neg.f64 (sqrt.f64 (log.f64 N))) (log1p.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))) 0)
(-.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))) 0)
(*.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 (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))) 0)
(*.f64 (-.f64 (pow.f64 (log1p.f64 N) 2) (pow.f64 (log.f64 N) 2)) (/.f64 1 (+.f64 (log.f64 N) (log1p.f64 N))))
(/.f64 (-.f64 (pow.f64 (log1p.f64 N) 2) (pow.f64 (log.f64 N) 2)) (+.f64 (log.f64 N) (log1p.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)))
(*.f64 (-.f64 (pow.f64 (log1p.f64 N) 2) (pow.f64 (log.f64 N) 2)) (/.f64 1 (+.f64 (log.f64 N) (log1p.f64 N))))
(/.f64 (-.f64 (pow.f64 (log1p.f64 N) 2) (pow.f64 (log.f64 N) 2)) (+.f64 (log.f64 N) (log1p.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 (-.f64 (pow.f64 (log1p.f64 N) 2) (pow.f64 (log.f64 N) 2)) (/.f64 1 (+.f64 (log.f64 N) (log1p.f64 N))))
(/.f64 (-.f64 (pow.f64 (log1p.f64 N) 2) (pow.f64 (log.f64 N) 2)) (+.f64 (log.f64 N) (log1p.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 (-.f64 (pow.f64 (log1p.f64 N) 2) (pow.f64 (log.f64 N) 2)) (/.f64 1 (+.f64 (log.f64 N) (log1p.f64 N))))
(/.f64 (-.f64 (pow.f64 (log1p.f64 N) 2) (pow.f64 (log.f64 N) 2)) (+.f64 (log.f64 N) (log1p.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))) 0)
(-.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))
(+.f64 (log1p.f64 N) 0)
(log1p.f64 N)
(+.f64 0 (log1p.f64 N))
(log1p.f64 N)
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (+.f64 N 1)) 2)) (log.f64 (cbrt.f64 (+.f64 N 1))))
(+.f64 (*.f64 2 (log.f64 (cbrt.f64 (+.f64 N 1)))) (log.f64 (cbrt.f64 (+.f64 N 1))))
(*.f64 3 (log.f64 (cbrt.f64 (+.f64 N 1))))
(+.f64 (log.f64 (sqrt.f64 (+.f64 N 1))) (log.f64 (sqrt.f64 (+.f64 N 1))))
(*.f64 2 (log.f64 (sqrt.f64 (+.f64 N 1))))
(-.f64 (log1p.f64 N) 0)
(log1p.f64 N)
(-.f64 (log1p.f64 (pow.f64 N 3)) (log.f64 (+.f64 1 (-.f64 (pow.f64 N 2) N))))
(-.f64 (log1p.f64 (pow.f64 N 3)) (log1p.f64 (-.f64 (pow.f64 N 2) N)))
(-.f64 (+.f64 1 (log1p.f64 N)) 1)
(log1p.f64 N)
(-.f64 (log.f64 (-.f64 1 (pow.f64 N 2))) (log.f64 (-.f64 1 N)))
(-.f64 (log1p.f64 (neg.f64 (pow.f64 N 2))) (log1p.f64 (neg.f64 N)))
(*.f64 (log1p.f64 N) 1)
(log1p.f64 N)
(*.f64 (log1p.f64 N) (log.f64 (E.f64)))
(log1p.f64 N)
(*.f64 1 (log1p.f64 N))
(log1p.f64 N)
(*.f64 (cbrt.f64 (log1p.f64 N)) (pow.f64 (cbrt.f64 (log1p.f64 N)) 2))
(log1p.f64 N)
(*.f64 (pow.f64 (cbrt.f64 (log1p.f64 N)) 2) (cbrt.f64 (log1p.f64 N)))
(log1p.f64 N)
(*.f64 (sqrt.f64 (log1p.f64 N)) (sqrt.f64 (log1p.f64 N)))
(log1p.f64 N)
(*.f64 (pow.f64 1 1/3) (log1p.f64 N))
(log1p.f64 N)
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (log1p.f64 N))) 3) (pow.f64 (sqrt.f64 (cbrt.f64 (log1p.f64 N))) 3))
(log1p.f64 N)
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 N))) 2) 3) (cbrt.f64 (log1p.f64 N)))
(log1p.f64 N)
(*.f64 (pow.f64 (pow.f64 (*.f64 (log1p.f64 N) (cbrt.f64 (log1p.f64 N))) 2) 1/3) (cbrt.f64 (cbrt.f64 (log1p.f64 N))))
(*.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 N))) (cbrt.f64 (pow.f64 (*.f64 (log1p.f64 N) (cbrt.f64 (log1p.f64 N))) 2)))
(*.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 N))) (cbrt.f64 (pow.f64 (pow.f64 (cbrt.f64 (log1p.f64 N)) 4) 2)))
(*.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 N))) (cbrt.f64 (pow.f64 (cbrt.f64 (log1p.f64 N)) 8)))
(*.f64 (pow.f64 (pow.f64 (log1p.f64 N) 5/2) 1/3) (cbrt.f64 (sqrt.f64 (log1p.f64 N))))
(*.f64 (cbrt.f64 (pow.f64 (log1p.f64 N) 5/2)) (cbrt.f64 (sqrt.f64 (log1p.f64 N))))
(/.f64 (pow.f64 (log1p.f64 N) 2) (log1p.f64 N))
(log1p.f64 N)
(/.f64 (pow.f64 (log1p.f64 N) 3) (+.f64 (pow.f64 (log1p.f64 N) 2) (-.f64 0 (*.f64 (log1p.f64 N) 0))))
(log1p.f64 N)
(pow.f64 (log1p.f64 N) 1)
(log1p.f64 N)
(pow.f64 (cbrt.f64 (log1p.f64 N)) 3)
(log1p.f64 N)
(pow.f64 (pow.f64 (log1p.f64 N) 2) 1/2)
(log1p.f64 N)
(pow.f64 (pow.f64 (log1p.f64 N) 3) 1/3)
(log1p.f64 N)
(pow.f64 (sqrt.f64 (log1p.f64 N)) 2)
(log1p.f64 N)
(pow.f64 (E.f64) (log.f64 (log1p.f64 N)))
(log1p.f64 N)
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (log1p.f64 N))) 2)) (cbrt.f64 (log.f64 (log1p.f64 N))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (log1p.f64 N)))) (sqrt.f64 (log.f64 (log1p.f64 N))))
(sqrt.f64 (pow.f64 (log1p.f64 N) 2))
(log1p.f64 N)
(log.f64 (+.f64 N 1))
(log1p.f64 N)
(cbrt.f64 (pow.f64 (log1p.f64 N) 3))
(log1p.f64 N)
(expm1.f64 (log1p.f64 (log1p.f64 N)))
(log1p.f64 N)
(exp.f64 (log.f64 (log1p.f64 N)))
(log1p.f64 N)
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (log1p.f64 N))) 3))
(log1p.f64 N)
(exp.f64 (*.f64 (*.f64 (log.f64 (log1p.f64 N)) 3) 1/3))
(log1p.f64 N)
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (log1p.f64 N))) 2))
(log1p.f64 N)
(fma.f64 (log1p.f64 N) 1 0)
(log1p.f64 N)
(fma.f64 1 (log1p.f64 N) 0)
(log1p.f64 N)
(fma.f64 (cbrt.f64 (log1p.f64 N)) (pow.f64 (cbrt.f64 (log1p.f64 N)) 2) 0)
(log1p.f64 N)
(fma.f64 (pow.f64 (cbrt.f64 (log1p.f64 N)) 2) (cbrt.f64 (log1p.f64 N)) 0)
(log1p.f64 N)
(fma.f64 (sqrt.f64 (log1p.f64 N)) (sqrt.f64 (log1p.f64 N)) 0)
(log1p.f64 N)

eval73.0ms (0.7%)

Compiler

Compiled 3358 to 1532 computations (54.4% saved)

prune51.0ms (0.5%)

Pruning

17 alts after pruning (16 fresh and 1 done)

PrunedKeptTotal
New22216238
Fresh000
Picked011
Done000
Total22217239
Accuracy
99.5%
Counts
239 → 17
Alt Table
Click to see full alt table
StatusAccuracyProgram
22.6%
(fma.f64 (sqrt.f64 (log1p.f64 N)) (sqrt.f64 (log1p.f64 N)) (neg.f64 (log.f64 N)))
20.7%
(pow.f64 (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 3) 1/3)
20.7%
(/.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)))
20.6%
(/.f64 (-.f64 (pow.f64 (log1p.f64 N) 2) (pow.f64 (log.f64 N) 2)) (+.f64 (log1p.f64 N) (log.f64 N)))
20.7%
(/.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))))))
87.0%
(/.f64 1 N)
94.6%
(-.f64 (/.f64 1 N) (/.f64 1/2 (pow.f64 N 2)))
20.7%
(-.f64 (log1p.f64 N) (log.f64 N))
98.2%
(+.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)))))
97.0%
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (-.f64 (/.f64 1 N) (/.f64 1/2 (pow.f64 N 2))))
21.9%
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 N 1) N)) 2)) (log.f64 (cbrt.f64 (/.f64 (+.f64 N 1) N))))
20.1%
(*.f64 (+.f64 (sqrt.f64 (log1p.f64 N)) (sqrt.f64 (log.f64 N))) (-.f64 (sqrt.f64 (log1p.f64 N)) (sqrt.f64 (log.f64 N))))
21.9%
(*.f64 3 (log.f64 (cbrt.f64 (/.f64 (+.f64 N 1) N))))
22.5%
(*.f64 2 (log.f64 (sqrt.f64 (/.f64 (+.f64 N 1) N))))
23.3%
(log.f64 (/.f64 (+.f64 N 1) N))
20.7%
(exp.f64 (*.f64 (*.f64 3 (log.f64 (-.f64 (log1p.f64 N) (log.f64 N)))) 1/3))
20.7%
(cbrt.f64 (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 3))
Compiler

Compiled 452 to 316 computations (30.1% saved)

localize265.0ms (2.4%)

Localize:

Found 15 expressions with local error:

NewAccuracyProgram
99.8%
(sqrt.f64 (log1p.f64 N))
99.8%
(sqrt.f64 (log.f64 N))
99.4%
(*.f64 (+.f64 (sqrt.f64 (log1p.f64 N)) (sqrt.f64 (log.f64 N))) (-.f64 (sqrt.f64 (log1p.f64 N)) (sqrt.f64 (log.f64 N))))
20.1%
(-.f64 (sqrt.f64 (log1p.f64 N)) (sqrt.f64 (log.f64 N)))
99.5%
(*.f64 3 (log.f64 (-.f64 (log1p.f64 N) (log.f64 N))))
99.5%
(*.f64 (*.f64 3 (log.f64 (-.f64 (log1p.f64 N) (log.f64 N)))) 1/3)
94.8%
(exp.f64 (*.f64 (*.f64 3 (log.f64 (-.f64 (log1p.f64 N) (log.f64 N)))) 1/3))
20.6%
(-.f64 (log1p.f64 N) (log.f64 N))
99.8%
(cbrt.f64 (/.f64 (+.f64 N 1) N))
99.6%
(*.f64 3 (log.f64 (cbrt.f64 (/.f64 (+.f64 N 1) N))))
22.3%
(log.f64 (cbrt.f64 (/.f64 (+.f64 N 1) N)))
99.8%
(-.f64 (/.f64 1/3 (pow.f64 N 3)) (+.f64 (/.f64 1/2 (pow.f64 N 2)) (/.f64 1/4 (pow.f64 N 4))))
99.6%
(/.f64 1/4 (pow.f64 N 4))
99.5%
(/.f64 1/2 (pow.f64 N 2))
99.4%
(/.f64 1/3 (pow.f64 N 3))
Compiler

Compiled 211 to 117 computations (44.5% saved)

series115.0ms (1.1%)

Counts
14 → 106
Calls

42 calls:

TimeVariablePointExpression
32.0ms
N
@0
(sqrt.f64 (log.f64 N))
23.0ms
N
@-inf
(sqrt.f64 (log.f64 N))
7.0ms
N
@inf
(sqrt.f64 (log.f64 N))
5.0ms
N
@-inf
(-.f64 (sqrt.f64 (log1p.f64 N)) (sqrt.f64 (log.f64 N)))
4.0ms
N
@-inf
(/.f64 1/3 (pow.f64 N 3))

rewrite180.0ms (1.7%)

Algorithm
batch-egg-rewrite
Rules
286×fma-define
276×log1p-expm1-u
276×expm1-log1p-u
266×add-exp-log
265×pow1
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
038376
1644324
Stop Event
node limit
Counts
14 → 557
Calls
Call 1
Inputs
(/.f64 1/3 (pow.f64 N 3))
(/.f64 1/2 (pow.f64 N 2))
(/.f64 1/4 (pow.f64 N 4))
(-.f64 (/.f64 1/3 (pow.f64 N 3)) (+.f64 (/.f64 1/2 (pow.f64 N 2)) (/.f64 1/4 (pow.f64 N 4))))
(log.f64 (cbrt.f64 (/.f64 (+.f64 N 1) N)))
(*.f64 3 (log.f64 (cbrt.f64 (/.f64 (+.f64 N 1) N))))
(cbrt.f64 (/.f64 (+.f64 N 1) N))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (-.f64 (log1p.f64 N) (log.f64 N)))) 1/3))
(*.f64 (*.f64 3 (log.f64 (-.f64 (log1p.f64 N) (log.f64 N)))) 1/3)
(*.f64 3 (log.f64 (-.f64 (log1p.f64 N) (log.f64 N))))
(-.f64 (sqrt.f64 (log1p.f64 N)) (sqrt.f64 (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))))
(sqrt.f64 (log.f64 N))
(sqrt.f64 (log1p.f64 N))
Outputs
(+.f64 (*.f64 1/3 (pow.f64 N -3)) 0)
(-.f64 (exp.f64 (log1p.f64 (*.f64 1/3 (pow.f64 N -3)))) 1)
(*.f64 1/3 (pow.f64 N -3))
(*.f64 1 (*.f64 1/3 (pow.f64 N -3)))
(*.f64 (pow.f64 (/.f64 (cbrt.f64 1/3) N) 2) (/.f64 (cbrt.f64 1/3) N))
(*.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 (*.f64 1/27 (pow.f64 (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)
(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 (*.f64 1/27 (pow.f64 (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))
(fma.f64 1/3 (pow.f64 N -3) 0)
(fma.f64 1 (*.f64 1/3 (pow.f64 N -3)) 0)
(fma.f64 (pow.f64 (/.f64 (cbrt.f64 1/3) N) 2) (/.f64 (cbrt.f64 1/3) N) 0)
(fma.f64 (/.f64 (sqrt.f64 1/3) (pow.f64 N 3/2)) (/.f64 (sqrt.f64 1/3) (pow.f64 N 3/2)) 0)
(+.f64 (*.f64 1/2 (pow.f64 N -2)) 0)
(-.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 1 (*.f64 1/2 (pow.f64 N -2)))
(*.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 (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 1/2 (pow.f64 N -2)) 1)
(pow.f64 (*.f64 1/4 (pow.f64 N -4)) 1/2)
(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)
(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))
(fma.f64 1/2 (pow.f64 N -2) 0)
(fma.f64 1 (*.f64 1/2 (pow.f64 N -2)) 0)
(fma.f64 (cbrt.f64 (*.f64 1/4 (pow.f64 N -4))) (cbrt.f64 (*.f64 1/2 (pow.f64 N -2))) 0)
(fma.f64 (/.f64 (sqrt.f64 1/2) N) (/.f64 (sqrt.f64 1/2) N) 0)
(+.f64 (*.f64 1/4 (pow.f64 N -4)) 0)
(-.f64 (exp.f64 (log1p.f64 (*.f64 1/4 (pow.f64 N -4)))) 1)
(*.f64 (*.f64 1/2 (pow.f64 N -2)) (*.f64 1/2 (pow.f64 N -2)))
(*.f64 1/4 (pow.f64 N -4))
(*.f64 1/4 (*.f64 (pow.f64 N -2) (pow.f64 N -2)))
(*.f64 1 (*.f64 1/4 (pow.f64 N -4)))
(*.f64 (cbrt.f64 (/.f64 1/16 (pow.f64 N 8))) (cbrt.f64 (*.f64 1/4 (pow.f64 N -4))))
(*.f64 -1/4 (/.f64 1 (neg.f64 (pow.f64 N 4))))
(pow.f64 (*.f64 1/2 (pow.f64 N -2)) 2)
(pow.f64 (*.f64 1/4 (pow.f64 N -4)) 1)
(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)
(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))
(fma.f64 (*.f64 1/2 (pow.f64 N -2)) (*.f64 1/2 (pow.f64 N -2)) 0)
(fma.f64 1/4 (pow.f64 N -4) 0)
(fma.f64 1 (*.f64 1/4 (pow.f64 N -4)) 0)
(fma.f64 (cbrt.f64 (/.f64 1/16 (pow.f64 N 8))) (cbrt.f64 (*.f64 1/4 (pow.f64 N -4))) 0)
(+.f64 (*.f64 1/3 (pow.f64 N -3)) (neg.f64 (fma.f64 1/4 (pow.f64 N -4) (*.f64 1/2 (pow.f64 N -2)))))
(+.f64 (-.f64 (*.f64 1/3 (pow.f64 N -3)) (fma.f64 1/4 (pow.f64 N -4) (*.f64 1/2 (pow.f64 N -2)))) 0)
(+.f64 (-.f64 (*.f64 1/3 (pow.f64 N -3)) (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 (-.f64 (*.f64 1/3 (pow.f64 N -3)) (*.f64 1/2 (pow.f64 N -2))) (neg.f64 (*.f64 1/4 (pow.f64 N -4))))
(+.f64 (fma.f64 1/3 (pow.f64 N -3) (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 1/3 (pow.f64 N -3) (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 1 (*.f64 1/3 (pow.f64 N -3)) (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 1/3 (pow.f64 N -3)) (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 (pow.f64 (/.f64 (cbrt.f64 1/3) N) 2) (/.f64 (cbrt.f64 1/3) 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 (pow.f64 (/.f64 (cbrt.f64 1/3) N) 2) (/.f64 (cbrt.f64 1/3) 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 (/.f64 (sqrt.f64 1/3) (pow.f64 N 3/2)) (/.f64 (sqrt.f64 1/3) (pow.f64 N 3/2)) (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 (/.f64 (sqrt.f64 1/3) (pow.f64 N 3/2)) (/.f64 (sqrt.f64 1/3) (pow.f64 N 3/2)) (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 1/3 (pow.f64 N -3)) (fma.f64 1/4 (pow.f64 N -4) (*.f64 1/2 (pow.f64 N -2)))))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 (*.f64 1/3 (pow.f64 N -3)) (fma.f64 1/4 (pow.f64 N -4) (*.f64 1/2 (pow.f64 N -2))))) 2) (cbrt.f64 (-.f64 (*.f64 1/3 (pow.f64 N -3)) (fma.f64 1/4 (pow.f64 N -4) (*.f64 1/2 (pow.f64 N -2))))))
(*.f64 (sqrt.f64 (-.f64 (*.f64 1/3 (pow.f64 N -3)) (fma.f64 1/4 (pow.f64 N -4) (*.f64 1/2 (pow.f64 N -2))))) (sqrt.f64 (-.f64 (*.f64 1/3 (pow.f64 N -3)) (fma.f64 1/4 (pow.f64 N -4) (*.f64 1/2 (pow.f64 N -2))))))
(*.f64 (-.f64 (*.f64 1/27 (pow.f64 (pow.f64 N -3) 3)) (pow.f64 (fma.f64 1/4 (pow.f64 N -4) (*.f64 1/2 (pow.f64 N -2))) 3)) (/.f64 1 (+.f64 (/.f64 1/9 (pow.f64 N 6)) (+.f64 (pow.f64 (fma.f64 1/4 (pow.f64 N -4) (*.f64 1/2 (pow.f64 N -2))) 2) (*.f64 (*.f64 1/3 (pow.f64 N -3)) (fma.f64 1/4 (pow.f64 N -4) (*.f64 1/2 (pow.f64 N -2))))))))
(*.f64 (-.f64 (/.f64 1/9 (pow.f64 N 6)) (pow.f64 (fma.f64 1/4 (pow.f64 N -4) (*.f64 1/2 (pow.f64 N -2))) 2)) (/.f64 1 (fma.f64 1/3 (pow.f64 N -3) (fma.f64 1/4 (pow.f64 N -4) (*.f64 1/2 (pow.f64 N -2))))))
(*.f64 (+.f64 (/.f64 (sqrt.f64 1/3) (pow.f64 N 3/2)) (hypot.f64 (*.f64 1/2 (pow.f64 N -2)) (/.f64 (sqrt.f64 1/2) N))) (-.f64 (/.f64 (sqrt.f64 1/3) (pow.f64 N 3/2)) (hypot.f64 (*.f64 1/2 (pow.f64 N -2)) (/.f64 (sqrt.f64 1/2) N))))
(/.f64 1 (/.f64 (+.f64 (/.f64 1/9 (pow.f64 N 6)) (+.f64 (pow.f64 (fma.f64 1/4 (pow.f64 N -4) (*.f64 1/2 (pow.f64 N -2))) 2) (*.f64 (*.f64 1/3 (pow.f64 N -3)) (fma.f64 1/4 (pow.f64 N -4) (*.f64 1/2 (pow.f64 N -2)))))) (-.f64 (*.f64 1/27 (pow.f64 (pow.f64 N -3) 3)) (pow.f64 (fma.f64 1/4 (pow.f64 N -4) (*.f64 1/2 (pow.f64 N -2))) 3))))
(/.f64 1 (/.f64 (fma.f64 1/3 (pow.f64 N -3) (fma.f64 1/4 (pow.f64 N -4) (*.f64 1/2 (pow.f64 N -2)))) (-.f64 (/.f64 1/9 (pow.f64 N 6)) (pow.f64 (fma.f64 1/4 (pow.f64 N -4) (*.f64 1/2 (pow.f64 N -2))) 2))))
(/.f64 (pow.f64 (-.f64 (*.f64 1/3 (pow.f64 N -3)) (fma.f64 1/4 (pow.f64 N -4) (*.f64 1/2 (pow.f64 N -2)))) 3) (+.f64 (pow.f64 (-.f64 (*.f64 1/3 (pow.f64 N -3)) (fma.f64 1/4 (pow.f64 N -4) (*.f64 1/2 (pow.f64 N -2)))) 2) (-.f64 0 (*.f64 (-.f64 (*.f64 1/3 (pow.f64 N -3)) (fma.f64 1/4 (pow.f64 N -4) (*.f64 1/2 (pow.f64 N -2)))) 0))))
(/.f64 (-.f64 (*.f64 1/27 (pow.f64 (pow.f64 N -3) 3)) (pow.f64 (fma.f64 1/4 (pow.f64 N -4) (*.f64 1/2 (pow.f64 N -2))) 3)) (+.f64 (/.f64 1/9 (pow.f64 N 6)) (+.f64 (pow.f64 (fma.f64 1/4 (pow.f64 N -4) (*.f64 1/2 (pow.f64 N -2))) 2) (*.f64 (*.f64 1/3 (pow.f64 N -3)) (fma.f64 1/4 (pow.f64 N -4) (*.f64 1/2 (pow.f64 N -2)))))))
(/.f64 (-.f64 (/.f64 1/9 (pow.f64 N 6)) (pow.f64 (fma.f64 1/4 (pow.f64 N -4) (*.f64 1/2 (pow.f64 N -2))) 2)) (fma.f64 1/3 (pow.f64 N -3) (fma.f64 1/4 (pow.f64 N -4) (*.f64 1/2 (pow.f64 N -2)))))
(/.f64 (-.f64 (*.f64 1/3 (pow.f64 N 6)) (*.f64 (pow.f64 N 3) (fma.f64 1/2 (pow.f64 N 4) (*.f64 (pow.f64 N 2) 1/4)))) (*.f64 (pow.f64 N 3) (pow.f64 N 6)))
(/.f64 (-.f64 (*.f64 1/3 (+.f64 (*.f64 1/4 (pow.f64 N -4)) (-.f64 (/.f64 1/16 (pow.f64 N 8)) (/.f64 1/8 (pow.f64 N 6))))) (*.f64 (pow.f64 N 3) (+.f64 (/.f64 1/8 (pow.f64 N 6)) (*.f64 1/64 (pow.f64 (pow.f64 N -4) 3))))) (*.f64 (pow.f64 N 3) (+.f64 (*.f64 1/4 (pow.f64 N -4)) (-.f64 (/.f64 1/16 (pow.f64 N 8)) (/.f64 1/8 (pow.f64 N 6))))))
(/.f64 (-.f64 (*.f64 1/3 (-.f64 (*.f64 1/2 (pow.f64 N -2)) (*.f64 1/4 (pow.f64 N -4)))) (*.f64 (pow.f64 N 3) (-.f64 (*.f64 1/4 (pow.f64 N -4)) (/.f64 1/16 (pow.f64 N 8))))) (*.f64 (pow.f64 N 3) (-.f64 (*.f64 1/2 (pow.f64 N -2)) (*.f64 1/4 (pow.f64 N -4)))))
(/.f64 (-.f64 (pow.f64 N 6) (*.f64 (*.f64 (pow.f64 N 3) 3) (fma.f64 1/2 (pow.f64 N 4) (*.f64 (pow.f64 N 2) 1/4)))) (*.f64 (*.f64 (pow.f64 N 3) 3) (pow.f64 N 6)))
(/.f64 (-.f64 (+.f64 (*.f64 1/4 (pow.f64 N -4)) (-.f64 (/.f64 1/16 (pow.f64 N 8)) (/.f64 1/8 (pow.f64 N 6)))) (*.f64 (*.f64 (pow.f64 N 3) 3) (+.f64 (/.f64 1/8 (pow.f64 N 6)) (*.f64 1/64 (pow.f64 (pow.f64 N -4) 3))))) (*.f64 (*.f64 (pow.f64 N 3) 3) (+.f64 (*.f64 1/4 (pow.f64 N -4)) (-.f64 (/.f64 1/16 (pow.f64 N 8)) (/.f64 1/8 (pow.f64 N 6))))))
(/.f64 (-.f64 (-.f64 (*.f64 1/2 (pow.f64 N -2)) (*.f64 1/4 (pow.f64 N -4))) (*.f64 (*.f64 (pow.f64 N 3) 3) (-.f64 (*.f64 1/4 (pow.f64 N -4)) (/.f64 1/16 (pow.f64 N 8))))) (*.f64 (*.f64 (pow.f64 N 3) 3) (-.f64 (*.f64 1/2 (pow.f64 N -2)) (*.f64 1/4 (pow.f64 N -4)))))
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(-.f64 (/.f64 (pow.f64 (log1p.f64 N) 3) (+.f64 (pow.f64 (log1p.f64 N) 2) (+.f64 (pow.f64 (log.f64 N) 2) (*.f64 (log1p.f64 N) (log.f64 N))))) (/.f64 (pow.f64 (log.f64 N) 3) (+.f64 (pow.f64 (log1p.f64 N) 2) (+.f64 (pow.f64 (log.f64 N) 2) (*.f64 (log1p.f64 N) (log.f64 N))))))
(-.f64 (/.f64 (pow.f64 (log1p.f64 N) 2) (+.f64 (log1p.f64 N) (log.f64 N))) (/.f64 (pow.f64 (log.f64 N) 2) (+.f64 (log1p.f64 N) (log.f64 N))))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (log1p.f64 N) 2) (+.f64 (pow.f64 (log.f64 N) 2) (*.f64 (log1p.f64 N) (log.f64 N)))) (-.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 (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 3) (+.f64 (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 2) (-.f64 0 (*.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 0))))
(/.f64 (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 2) (-.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 (-.f64 (pow.f64 (log1p.f64 N) 3) (pow.f64 (log.f64 N) 3)) (+.f64 (pow.f64 (log1p.f64 N) 2) (+.f64 (pow.f64 (log.f64 N) 2) (*.f64 (log1p.f64 N) (log.f64 N)))))
(/.f64 (*.f64 (-.f64 (log1p.f64 N) (log.f64 N)) (+.f64 (pow.f64 (log1p.f64 N) 3/2) (pow.f64 (log.f64 N) 3/2))) (*.f64 (+.f64 (sqrt.f64 (log1p.f64 N)) (sqrt.f64 (log.f64 N))) (+.f64 (log1p.f64 N) (-.f64 (log.f64 N) (sqrt.f64 (*.f64 (log1p.f64 N) (log.f64 N)))))))
(/.f64 (*.f64 (-.f64 (pow.f64 (log1p.f64 N) 3/2) (pow.f64 (log.f64 N) 3/2)) (-.f64 (log1p.f64 N) (log.f64 N))) (-.f64 (pow.f64 (log1p.f64 N) 3/2) (pow.f64 (log.f64 N) 3/2)))
(/.f64 (*.f64 (-.f64 (pow.f64 (log1p.f64 N) 3/2) (pow.f64 (log.f64 N) 3/2)) (+.f64 (pow.f64 (log1p.f64 N) 3/2) (pow.f64 (log.f64 N) 3/2))) (*.f64 (+.f64 (log1p.f64 N) (+.f64 (log.f64 N) (sqrt.f64 (*.f64 (log1p.f64 N) (log.f64 N))))) (+.f64 (log1p.f64 N) (-.f64 (log.f64 N) (sqrt.f64 (*.f64 (log1p.f64 N) (log.f64 N)))))))
(/.f64 (*.f64 (-.f64 (log1p.f64 N) (log.f64 N)) (-.f64 (pow.f64 (log1p.f64 N) 3/2) (pow.f64 (log.f64 N) 3/2))) (*.f64 (-.f64 (sqrt.f64 (log1p.f64 N)) (sqrt.f64 (log.f64 N))) (+.f64 (log1p.f64 N) (+.f64 (log.f64 N) (sqrt.f64 (*.f64 (log1p.f64 N) (log.f64 N)))))))
(/.f64 (*.f64 (+.f64 (pow.f64 (log1p.f64 N) 3/2) (pow.f64 (log.f64 N) 3/2)) (-.f64 (log1p.f64 N) (log.f64 N))) (+.f64 (pow.f64 (log1p.f64 N) 3/2) (pow.f64 (log.f64 N) 3/2)))
(/.f64 (*.f64 (+.f64 (pow.f64 (log1p.f64 N) 3/2) (pow.f64 (log.f64 N) 3/2)) (-.f64 (pow.f64 (log1p.f64 N) 3/2) (pow.f64 (log.f64 N) 3/2))) (*.f64 (+.f64 (log1p.f64 N) (-.f64 (log.f64 N) (sqrt.f64 (*.f64 (log1p.f64 N) (log.f64 N))))) (+.f64 (log1p.f64 N) (+.f64 (log.f64 N) (sqrt.f64 (*.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 (pow.f64 (log.f64 N) 2) (*.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 (+.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 (log1p.f64 N) (log.f64 N)) 2) 0) (-.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 0))
(pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 1)
(pow.f64 (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 3) 1/3)
(pow.f64 (cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))) 3)
(pow.f64 (sqrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))) 2)
(pow.f64 (exp.f64 1/3) (*.f64 3 (log.f64 (-.f64 (log1p.f64 N) (log.f64 N)))))
(pow.f64 (exp.f64 1) (log.f64 (-.f64 (log1p.f64 N) (log.f64 N))))
(pow.f64 (exp.f64 3) (*.f64 (log.f64 (-.f64 (log1p.f64 N) (log.f64 N))) 1/3))
(pow.f64 (exp.f64 (cbrt.f64 (pow.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))
(cbrt.f64 (*.f64 (pow.f64 (-.f64 (sqrt.f64 (log1p.f64 N)) (sqrt.f64 (log.f64 N))) 3) (pow.f64 (+.f64 (sqrt.f64 (log1p.f64 N)) (sqrt.f64 (log.f64 N))) 3)))
(cbrt.f64 (*.f64 (pow.f64 (+.f64 (sqrt.f64 (log1p.f64 N)) (sqrt.f64 (log.f64 N))) 3) (pow.f64 (-.f64 (sqrt.f64 (log1p.f64 N)) (sqrt.f64 (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 (-.f64 (log1p.f64 N) (log.f64 N))) 1))
(fma.f64 3 (*.f64 1/3 (-.f64 (log1p.f64 N) (log.f64 N))) 0)
(fma.f64 1 (log1p.f64 N) (neg.f64 (log.f64 N)))
(fma.f64 1 (-.f64 (log1p.f64 N) (log.f64 N)) 0)
(fma.f64 (*.f64 1/3 (-.f64 (log1p.f64 N) (log.f64 N))) 3 0)
(fma.f64 (sqrt.f64 (log1p.f64 N)) (sqrt.f64 (log1p.f64 N)) (neg.f64 (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))) 0)
(fma.f64 (+.f64 (sqrt.f64 (log1p.f64 N)) (sqrt.f64 (log.f64 N))) (-.f64 (sqrt.f64 (log1p.f64 N)) (sqrt.f64 (log.f64 N))) 0)
(fma.f64 (cbrt.f64 (pow.f64 (log1p.f64 N) 2)) (cbrt.f64 (log1p.f64 N)) (neg.f64 (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))) 0)
(fma.f64 (sqrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))) (sqrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))) 0)
(+.f64 (sqrt.f64 (log.f64 N)) 0)
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (log.f64 N)))) 1)
(*.f64 1 (sqrt.f64 (log.f64 N)))
(*.f64 (cbrt.f64 (log.f64 N)) (cbrt.f64 (sqrt.f64 (log.f64 N))))
(*.f64 (pow.f64 (log.f64 N) 1/4) (pow.f64 (log.f64 N) 1/4))
(*.f64 (pow.f64 1 1/2) (sqrt.f64 (log.f64 N)))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (log.f64 N) 2)) 1/2) (pow.f64 (cbrt.f64 (log.f64 N)) 1/2))
(*.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (log.f64 N) 2))) (sqrt.f64 (cbrt.f64 (log.f64 N))))
(/.f64 (pow.f64 (log.f64 N) 3/2) (+.f64 (log.f64 N) (-.f64 0 (*.f64 (sqrt.f64 (log.f64 N)) 0))))
(/.f64 (-.f64 (log.f64 N) 0) (-.f64 (sqrt.f64 (log.f64 N)) 0))
(pow.f64 (log.f64 N) 1/2)
(pow.f64 (sqrt.f64 (log.f64 N)) 1)
(pow.f64 (cbrt.f64 (sqrt.f64 (log.f64 N))) 3)
(pow.f64 (pow.f64 (log.f64 N) 1/4) 2)
(pow.f64 (pow.f64 (log.f64 N) 3/2) 1/3)
(fabs.f64 (sqrt.f64 (log.f64 N)))
(log.f64 (exp.f64 (sqrt.f64 (log.f64 N))))
(log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (log.f64 N)))))
(cbrt.f64 (pow.f64 (log.f64 N) 3/2))
(expm1.f64 (log1p.f64 (sqrt.f64 (log.f64 N))))
(log1p.f64 (expm1.f64 (sqrt.f64 (log.f64 N))))
(exp.f64 (log.f64 (sqrt.f64 (log.f64 N))))
(exp.f64 (*.f64 (log.f64 (log.f64 N)) 1/2))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (log.f64 N))) 1))
(fma.f64 1 (sqrt.f64 (log.f64 N)) 0)
(fma.f64 (cbrt.f64 (log.f64 N)) (cbrt.f64 (sqrt.f64 (log.f64 N))) 0)
(fma.f64 (pow.f64 (log.f64 N) 1/4) (pow.f64 (log.f64 N) 1/4) 0)
(+.f64 (sqrt.f64 (log1p.f64 N)) 0)
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (log1p.f64 N)))) 1)
(*.f64 1 (sqrt.f64 (log1p.f64 N)))
(*.f64 (cbrt.f64 (log1p.f64 N)) (cbrt.f64 (sqrt.f64 (log1p.f64 N))))
(*.f64 (pow.f64 (log1p.f64 N) 1/4) (pow.f64 (log1p.f64 N) 1/4))
(*.f64 (pow.f64 1 1/2) (sqrt.f64 (log1p.f64 N)))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (log1p.f64 N) 2)) 1/2) (pow.f64 (cbrt.f64 (log1p.f64 N)) 1/2))
(*.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (log1p.f64 N) 2))) (sqrt.f64 (cbrt.f64 (log1p.f64 N))))
(/.f64 (pow.f64 (log1p.f64 N) 3/2) (+.f64 (log1p.f64 N) (-.f64 0 (*.f64 (sqrt.f64 (log1p.f64 N)) 0))))
(/.f64 (-.f64 (log1p.f64 N) 0) (-.f64 (sqrt.f64 (log1p.f64 N)) 0))
(pow.f64 (log1p.f64 N) 1/2)
(pow.f64 (sqrt.f64 (log1p.f64 N)) 1)
(pow.f64 (cbrt.f64 (sqrt.f64 (log1p.f64 N))) 3)
(pow.f64 (pow.f64 (log1p.f64 N) 1/4) 2)
(pow.f64 (pow.f64 (log1p.f64 N) 3/2) 1/3)
(fabs.f64 (sqrt.f64 (log1p.f64 N)))
(log.f64 (exp.f64 (sqrt.f64 (log1p.f64 N))))
(log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (log1p.f64 N)))))
(cbrt.f64 (pow.f64 (log1p.f64 N) 3/2))
(expm1.f64 (log1p.f64 (sqrt.f64 (log1p.f64 N))))
(log1p.f64 (expm1.f64 (sqrt.f64 (log1p.f64 N))))
(exp.f64 (log.f64 (sqrt.f64 (log1p.f64 N))))
(exp.f64 (*.f64 (log.f64 (log1p.f64 N)) 1/2))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (log1p.f64 N))) 1))
(fma.f64 1 (sqrt.f64 (log1p.f64 N)) 0)
(fma.f64 (cbrt.f64 (log1p.f64 N)) (cbrt.f64 (sqrt.f64 (log1p.f64 N))) 0)
(fma.f64 (pow.f64 (log1p.f64 N) 1/4) (pow.f64 (log1p.f64 N) 1/4) 0)

simplify310.0ms (2.8%)

Algorithm
egg-herbie
Rules
1562×add0
754×times-frac
550×fma-neg
488×sqr-pow
462×sub-neg
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0127038412
1455336909
Stop Event
node limit
Counts
663 → 772
Calls
Call 1
Inputs
(/.f64 -1/4 (pow.f64 N 4))
(-.f64 (*.f64 1/3 (/.f64 1 (pow.f64 N 3))) (*.f64 1/4 (/.f64 1 (pow.f64 N 4))))
(-.f64 (*.f64 1/3 (/.f64 1 (pow.f64 N 3))) (+.f64 (*.f64 1/2 (/.f64 1 (pow.f64 N 2))) (*.f64 1/4 (/.f64 1 (pow.f64 N 4)))))
(-.f64 (*.f64 1/3 (/.f64 1 (pow.f64 N 3))) (+.f64 (*.f64 1/2 (/.f64 1 (pow.f64 N 2))) (*.f64 1/4 (/.f64 1 (pow.f64 N 4)))))
(/.f64 -1/2 (pow.f64 N 2))
(-.f64 (*.f64 1/3 (/.f64 1 (pow.f64 N 3))) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (*.f64 1/3 (/.f64 1 (pow.f64 N 3))) (+.f64 (*.f64 1/4 (/.f64 1 (pow.f64 N 4))) (*.f64 1/2 (/.f64 1 (pow.f64 N 2)))))
(-.f64 (*.f64 1/3 (/.f64 1 (pow.f64 N 3))) (+.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 1/3 (/.f64 1 (pow.f64 N 3))) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (*.f64 1/3 (/.f64 1 (pow.f64 N 3))) (+.f64 (*.f64 1/4 (/.f64 1 (pow.f64 N 4))) (*.f64 1/2 (/.f64 1 (pow.f64 N 2)))))
(-.f64 (*.f64 1/3 (/.f64 1 (pow.f64 N 3))) (+.f64 (*.f64 1/4 (/.f64 1 (pow.f64 N 4))) (*.f64 1/2 (/.f64 1 (pow.f64 N 2)))))
(/.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 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 5)) 1/3) (/.f64 1 N))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 -1) 2)) (+.f64 (*.f64 -1/3 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 5)) 1/3) (/.f64 1 N))) (*.f64 1/2 (/.f64 (+.f64 (*.f64 -2/9 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 10)) 1/3)) (*.f64 -1/9 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 10)) 1/3))) (pow.f64 N 2)))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 -1) 2)) (+.f64 (*.f64 -1/3 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 5)) 1/3) (/.f64 1 N))) (+.f64 (*.f64 -1/6 (/.f64 (+.f64 (*.f64 2/27 (/.f64 1 (pow.f64 (cbrt.f64 -1) 5))) (+.f64 (*.f64 2/9 (*.f64 (pow.f64 1 1/3) (/.f64 1 (pow.f64 (cbrt.f64 -1) 5)))) (*.f64 2 (+.f64 (*.f64 -2/9 (*.f64 (pow.f64 1 1/3) (/.f64 1 (pow.f64 (cbrt.f64 -1) 2)))) (*.f64 1/27 (/.f64 1 (pow.f64 (cbrt.f64 -1) 2))))))) (pow.f64 N 3))) (*.f64 1/2 (/.f64 (+.f64 (*.f64 -2/9 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 10)) 1/3)) (*.f64 -1/9 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 10)) 1/3))) (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 3 (log.f64 (pow.f64 (cbrt.f64 -1) 2)))
(+.f64 (*.f64 -1 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 5)) 1/3) (/.f64 1 N))) (*.f64 3 (log.f64 (pow.f64 (cbrt.f64 -1) 2))))
(+.f64 (*.f64 -1 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 5)) 1/3) (/.f64 1 N))) (+.f64 (*.f64 3/2 (/.f64 (+.f64 (*.f64 -2/9 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 10)) 1/3)) (*.f64 -1/9 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 10)) 1/3))) (pow.f64 N 2))) (*.f64 3 (log.f64 (pow.f64 (cbrt.f64 -1) 2)))))
(+.f64 (*.f64 -1 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 5)) 1/3) (/.f64 1 N))) (+.f64 (*.f64 -1/2 (/.f64 (+.f64 (*.f64 2/9 (*.f64 (pow.f64 1 1/3) (/.f64 1 (pow.f64 (cbrt.f64 -1) 5)))) (+.f64 (*.f64 2 (+.f64 (*.f64 -2/9 (*.f64 (pow.f64 1 1/3) (/.f64 1 (pow.f64 (cbrt.f64 -1) 2)))) (*.f64 1/27 (/.f64 1 (pow.f64 (cbrt.f64 -1) 2))))) (*.f64 2/27 (/.f64 1 (pow.f64 (cbrt.f64 -1) 5))))) (pow.f64 N 3))) (+.f64 (*.f64 3/2 (/.f64 (+.f64 (*.f64 -2/9 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 10)) 1/3)) (*.f64 -1/9 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 10)) 1/3))) (pow.f64 N 2))) (*.f64 3 (log.f64 (pow.f64 (cbrt.f64 -1) 2))))))
1
(+.f64 1 (*.f64 1/3 (/.f64 1 N)))
(-.f64 (+.f64 1 (*.f64 1/3 (/.f64 1 N))) (*.f64 1/9 (/.f64 1 (pow.f64 N 2))))
(-.f64 (+.f64 1 (+.f64 (*.f64 5/81 (/.f64 1 (pow.f64 N 3))) (*.f64 1/3 (/.f64 1 N)))) (*.f64 1/9 (/.f64 1 (pow.f64 N 2))))
(pow.f64 (cbrt.f64 -1) 2)
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(+.f64 (fma.f64 1 (log1p.f64 N) (neg.f64 (*.f64 (cbrt.f64 (log.f64 N)) (cbrt.f64 (pow.f64 (log.f64 N) 2))))) (fma.f64 (neg.f64 (cbrt.f64 (log.f64 N))) (cbrt.f64 (pow.f64 (log.f64 N) 2)) (*.f64 (cbrt.f64 (log.f64 N)) (cbrt.f64 (pow.f64 (log.f64 N) 2)))))
(+.f64 (fma.f64 (sqrt.f64 (log1p.f64 N)) (sqrt.f64 (log1p.f64 N)) (neg.f64 (*.f64 (log.f64 N) 1))) (fma.f64 (neg.f64 (log.f64 N)) 1 (*.f64 (log.f64 N) 1)))
(+.f64 (fma.f64 (sqrt.f64 (log1p.f64 N)) (sqrt.f64 (log1p.f64 N)) (neg.f64 (*.f64 (cbrt.f64 (log.f64 N)) (cbrt.f64 (pow.f64 (log.f64 N) 2))))) (fma.f64 (neg.f64 (cbrt.f64 (log.f64 N))) (cbrt.f64 (pow.f64 (log.f64 N) 2)) (*.f64 (cbrt.f64 (log.f64 N)) (cbrt.f64 (pow.f64 (log.f64 N) 2)))))
(+.f64 (fma.f64 (cbrt.f64 (pow.f64 (log1p.f64 N) 2)) (cbrt.f64 (log1p.f64 N)) (neg.f64 (*.f64 (log.f64 N) 1))) (fma.f64 (neg.f64 (log.f64 N)) 1 (*.f64 (log.f64 N) 1)))
(+.f64 (fma.f64 (cbrt.f64 (pow.f64 (log1p.f64 N) 2)) (cbrt.f64 (log1p.f64 N)) (neg.f64 (*.f64 (cbrt.f64 (log.f64 N)) (cbrt.f64 (pow.f64 (log.f64 N) 2))))) (fma.f64 (neg.f64 (cbrt.f64 (log.f64 N))) (cbrt.f64 (pow.f64 (log.f64 N) 2)) (*.f64 (cbrt.f64 (log.f64 N)) (cbrt.f64 (pow.f64 (log.f64 N) 2)))))
(+.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 (sqrt.f64 (/.f64 (+.f64 N 1) N))) (log.f64 (sqrt.f64 (/.f64 (+.f64 N 1) N))))
(-.f64 (log1p.f64 N) (log.f64 N))
(-.f64 0 (log.f64 (/.f64 N (+.f64 N 1))))
(-.f64 (exp.f64 (log1p.f64 (-.f64 (log1p.f64 N) (log.f64 N)))) 1)
(-.f64 (log.f64 (neg.f64 (+.f64 N 1))) (log.f64 (neg.f64 N)))
(-.f64 (/.f64 (pow.f64 (log1p.f64 N) 3) (+.f64 (pow.f64 (log1p.f64 N) 2) (+.f64 (pow.f64 (log.f64 N) 2) (*.f64 (log1p.f64 N) (log.f64 N))))) (/.f64 (pow.f64 (log.f64 N) 3) (+.f64 (pow.f64 (log1p.f64 N) 2) (+.f64 (pow.f64 (log.f64 N) 2) (*.f64 (log1p.f64 N) (log.f64 N))))))
(-.f64 (/.f64 (pow.f64 (log1p.f64 N) 2) (+.f64 (log1p.f64 N) (log.f64 N))) (/.f64 (pow.f64 (log.f64 N) 2) (+.f64 (log1p.f64 N) (log.f64 N))))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (log1p.f64 N) 2) (+.f64 (pow.f64 (log.f64 N) 2) (*.f64 (log1p.f64 N) (log.f64 N)))) (-.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 (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 3) (+.f64 (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 2) (-.f64 0 (*.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 0))))
(/.f64 (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 2) (-.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 (-.f64 (pow.f64 (log1p.f64 N) 3) (pow.f64 (log.f64 N) 3)) (+.f64 (pow.f64 (log1p.f64 N) 2) (+.f64 (pow.f64 (log.f64 N) 2) (*.f64 (log1p.f64 N) (log.f64 N)))))
(/.f64 (*.f64 (-.f64 (log1p.f64 N) (log.f64 N)) (+.f64 (pow.f64 (log1p.f64 N) 3/2) (pow.f64 (log.f64 N) 3/2))) (*.f64 (+.f64 (sqrt.f64 (log1p.f64 N)) (sqrt.f64 (log.f64 N))) (+.f64 (log1p.f64 N) (-.f64 (log.f64 N) (sqrt.f64 (*.f64 (log1p.f64 N) (log.f64 N)))))))
(/.f64 (*.f64 (-.f64 (pow.f64 (log1p.f64 N) 3/2) (pow.f64 (log.f64 N) 3/2)) (-.f64 (log1p.f64 N) (log.f64 N))) (-.f64 (pow.f64 (log1p.f64 N) 3/2) (pow.f64 (log.f64 N) 3/2)))
(/.f64 (*.f64 (-.f64 (pow.f64 (log1p.f64 N) 3/2) (pow.f64 (log.f64 N) 3/2)) (+.f64 (pow.f64 (log1p.f64 N) 3/2) (pow.f64 (log.f64 N) 3/2))) (*.f64 (+.f64 (log1p.f64 N) (+.f64 (log.f64 N) (sqrt.f64 (*.f64 (log1p.f64 N) (log.f64 N))))) (+.f64 (log1p.f64 N) (-.f64 (log.f64 N) (sqrt.f64 (*.f64 (log1p.f64 N) (log.f64 N)))))))
(/.f64 (*.f64 (-.f64 (log1p.f64 N) (log.f64 N)) (-.f64 (pow.f64 (log1p.f64 N) 3/2) (pow.f64 (log.f64 N) 3/2))) (*.f64 (-.f64 (sqrt.f64 (log1p.f64 N)) (sqrt.f64 (log.f64 N))) (+.f64 (log1p.f64 N) (+.f64 (log.f64 N) (sqrt.f64 (*.f64 (log1p.f64 N) (log.f64 N)))))))
(/.f64 (*.f64 (+.f64 (pow.f64 (log1p.f64 N) 3/2) (pow.f64 (log.f64 N) 3/2)) (-.f64 (log1p.f64 N) (log.f64 N))) (+.f64 (pow.f64 (log1p.f64 N) 3/2) (pow.f64 (log.f64 N) 3/2)))
(/.f64 (*.f64 (+.f64 (pow.f64 (log1p.f64 N) 3/2) (pow.f64 (log.f64 N) 3/2)) (-.f64 (pow.f64 (log1p.f64 N) 3/2) (pow.f64 (log.f64 N) 3/2))) (*.f64 (+.f64 (log1p.f64 N) (-.f64 (log.f64 N) (sqrt.f64 (*.f64 (log1p.f64 N) (log.f64 N))))) (+.f64 (log1p.f64 N) (+.f64 (log.f64 N) (sqrt.f64 (*.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 (pow.f64 (log.f64 N) 2) (*.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 (+.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 (log1p.f64 N) (log.f64 N)) 2) 0) (-.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 0))
(pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 1)
(pow.f64 (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 3) 1/3)
(pow.f64 (cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))) 3)
(pow.f64 (sqrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))) 2)
(pow.f64 (exp.f64 1/3) (*.f64 3 (log.f64 (-.f64 (log1p.f64 N) (log.f64 N)))))
(pow.f64 (exp.f64 1) (log.f64 (-.f64 (log1p.f64 N) (log.f64 N))))
(pow.f64 (exp.f64 3) (*.f64 (log.f64 (-.f64 (log1p.f64 N) (log.f64 N))) 1/3))
(pow.f64 (exp.f64 (cbrt.f64 (pow.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))
(cbrt.f64 (*.f64 (pow.f64 (-.f64 (sqrt.f64 (log1p.f64 N)) (sqrt.f64 (log.f64 N))) 3) (pow.f64 (+.f64 (sqrt.f64 (log1p.f64 N)) (sqrt.f64 (log.f64 N))) 3)))
(cbrt.f64 (*.f64 (pow.f64 (+.f64 (sqrt.f64 (log1p.f64 N)) (sqrt.f64 (log.f64 N))) 3) (pow.f64 (-.f64 (sqrt.f64 (log1p.f64 N)) (sqrt.f64 (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 (-.f64 (log1p.f64 N) (log.f64 N))) 1))
(fma.f64 3 (*.f64 1/3 (-.f64 (log1p.f64 N) (log.f64 N))) 0)
(fma.f64 1 (log1p.f64 N) (neg.f64 (log.f64 N)))
(fma.f64 1 (-.f64 (log1p.f64 N) (log.f64 N)) 0)
(fma.f64 (*.f64 1/3 (-.f64 (log1p.f64 N) (log.f64 N))) 3 0)
(fma.f64 (sqrt.f64 (log1p.f64 N)) (sqrt.f64 (log1p.f64 N)) (neg.f64 (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))) 0)
(fma.f64 (+.f64 (sqrt.f64 (log1p.f64 N)) (sqrt.f64 (log.f64 N))) (-.f64 (sqrt.f64 (log1p.f64 N)) (sqrt.f64 (log.f64 N))) 0)
(fma.f64 (cbrt.f64 (pow.f64 (log1p.f64 N) 2)) (cbrt.f64 (log1p.f64 N)) (neg.f64 (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))) 0)
(fma.f64 (sqrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))) (sqrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))) 0)
(+.f64 (sqrt.f64 (log.f64 N)) 0)
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (log.f64 N)))) 1)
(*.f64 1 (sqrt.f64 (log.f64 N)))
(*.f64 (cbrt.f64 (log.f64 N)) (cbrt.f64 (sqrt.f64 (log.f64 N))))
(*.f64 (pow.f64 (log.f64 N) 1/4) (pow.f64 (log.f64 N) 1/4))
(*.f64 (pow.f64 1 1/2) (sqrt.f64 (log.f64 N)))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (log.f64 N) 2)) 1/2) (pow.f64 (cbrt.f64 (log.f64 N)) 1/2))
(*.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (log.f64 N) 2))) (sqrt.f64 (cbrt.f64 (log.f64 N))))
(/.f64 (pow.f64 (log.f64 N) 3/2) (+.f64 (log.f64 N) (-.f64 0 (*.f64 (sqrt.f64 (log.f64 N)) 0))))
(/.f64 (-.f64 (log.f64 N) 0) (-.f64 (sqrt.f64 (log.f64 N)) 0))
(pow.f64 (log.f64 N) 1/2)
(pow.f64 (sqrt.f64 (log.f64 N)) 1)
(pow.f64 (cbrt.f64 (sqrt.f64 (log.f64 N))) 3)
(pow.f64 (pow.f64 (log.f64 N) 1/4) 2)
(pow.f64 (pow.f64 (log.f64 N) 3/2) 1/3)
(fabs.f64 (sqrt.f64 (log.f64 N)))
(log.f64 (exp.f64 (sqrt.f64 (log.f64 N))))
(log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (log.f64 N)))))
(cbrt.f64 (pow.f64 (log.f64 N) 3/2))
(expm1.f64 (log1p.f64 (sqrt.f64 (log.f64 N))))
(log1p.f64 (expm1.f64 (sqrt.f64 (log.f64 N))))
(exp.f64 (log.f64 (sqrt.f64 (log.f64 N))))
(exp.f64 (*.f64 (log.f64 (log.f64 N)) 1/2))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (log.f64 N))) 1))
(fma.f64 1 (sqrt.f64 (log.f64 N)) 0)
(fma.f64 (cbrt.f64 (log.f64 N)) (cbrt.f64 (sqrt.f64 (log.f64 N))) 0)
(fma.f64 (pow.f64 (log.f64 N) 1/4) (pow.f64 (log.f64 N) 1/4) 0)
(+.f64 (sqrt.f64 (log1p.f64 N)) 0)
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (log1p.f64 N)))) 1)
(*.f64 1 (sqrt.f64 (log1p.f64 N)))
(*.f64 (cbrt.f64 (log1p.f64 N)) (cbrt.f64 (sqrt.f64 (log1p.f64 N))))
(*.f64 (pow.f64 (log1p.f64 N) 1/4) (pow.f64 (log1p.f64 N) 1/4))
(*.f64 (pow.f64 1 1/2) (sqrt.f64 (log1p.f64 N)))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (log1p.f64 N) 2)) 1/2) (pow.f64 (cbrt.f64 (log1p.f64 N)) 1/2))
(*.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (log1p.f64 N) 2))) (sqrt.f64 (cbrt.f64 (log1p.f64 N))))
(/.f64 (pow.f64 (log1p.f64 N) 3/2) (+.f64 (log1p.f64 N) (-.f64 0 (*.f64 (sqrt.f64 (log1p.f64 N)) 0))))
(/.f64 (-.f64 (log1p.f64 N) 0) (-.f64 (sqrt.f64 (log1p.f64 N)) 0))
(pow.f64 (log1p.f64 N) 1/2)
(pow.f64 (sqrt.f64 (log1p.f64 N)) 1)
(pow.f64 (cbrt.f64 (sqrt.f64 (log1p.f64 N))) 3)
(pow.f64 (pow.f64 (log1p.f64 N) 1/4) 2)
(pow.f64 (pow.f64 (log1p.f64 N) 3/2) 1/3)
(fabs.f64 (sqrt.f64 (log1p.f64 N)))
(log.f64 (exp.f64 (sqrt.f64 (log1p.f64 N))))
(log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (log1p.f64 N)))))
(cbrt.f64 (pow.f64 (log1p.f64 N) 3/2))
(expm1.f64 (log1p.f64 (sqrt.f64 (log1p.f64 N))))
(log1p.f64 (expm1.f64 (sqrt.f64 (log1p.f64 N))))
(exp.f64 (log.f64 (sqrt.f64 (log1p.f64 N))))
(exp.f64 (*.f64 (log.f64 (log1p.f64 N)) 1/2))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (log1p.f64 N))) 1))
(fma.f64 1 (sqrt.f64 (log1p.f64 N)) 0)
(fma.f64 (cbrt.f64 (log1p.f64 N)) (cbrt.f64 (sqrt.f64 (log1p.f64 N))) 0)
(fma.f64 (pow.f64 (log1p.f64 N) 1/4) (pow.f64 (log1p.f64 N) 1/4) 0)
Outputs
(/.f64 -1/4 (pow.f64 N 4))
(-.f64 (*.f64 1/3 (/.f64 1 (pow.f64 N 3))) (*.f64 1/4 (/.f64 1 (pow.f64 N 4))))
(-.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 1/4 (pow.f64 N 4)))
(-.f64 (*.f64 1/3 (/.f64 1 (pow.f64 N 3))) (+.f64 (*.f64 1/2 (/.f64 1 (pow.f64 N 2))) (*.f64 1/4 (/.f64 1 (pow.f64 N 4)))))
(-.f64 (/.f64 1/3 (pow.f64 N 3)) (+.f64 (/.f64 1/4 (pow.f64 N 4)) (/.f64 1/2 (pow.f64 N 2))))
(-.f64 (-.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 1/2 (pow.f64 N 2))) (/.f64 1/4 (pow.f64 N 4)))
(-.f64 (*.f64 1/3 (/.f64 1 (pow.f64 N 3))) (+.f64 (*.f64 1/2 (/.f64 1 (pow.f64 N 2))) (*.f64 1/4 (/.f64 1 (pow.f64 N 4)))))
(-.f64 (/.f64 1/3 (pow.f64 N 3)) (+.f64 (/.f64 1/4 (pow.f64 N 4)) (/.f64 1/2 (pow.f64 N 2))))
(-.f64 (-.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 1/2 (pow.f64 N 2))) (/.f64 1/4 (pow.f64 N 4)))
(/.f64 -1/2 (pow.f64 N 2))
(-.f64 (*.f64 1/3 (/.f64 1 (pow.f64 N 3))) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 1/2 (pow.f64 N 2)))
(-.f64 (*.f64 1/3 (/.f64 1 (pow.f64 N 3))) (+.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 1/4 (pow.f64 N 4)) (/.f64 1/2 (pow.f64 N 2))))
(-.f64 (-.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 1/2 (pow.f64 N 2))) (/.f64 1/4 (pow.f64 N 4)))
(-.f64 (*.f64 1/3 (/.f64 1 (pow.f64 N 3))) (+.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 1/4 (pow.f64 N 4)) (/.f64 1/2 (pow.f64 N 2))))
(-.f64 (-.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 1/2 (pow.f64 N 2))) (/.f64 1/4 (pow.f64 N 4)))
(/.f64 -1/2 (pow.f64 N 2))
(-.f64 (*.f64 1/3 (/.f64 1 (pow.f64 N 3))) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 1/2 (pow.f64 N 2)))
(-.f64 (*.f64 1/3 (/.f64 1 (pow.f64 N 3))) (+.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 1/4 (pow.f64 N 4)) (/.f64 1/2 (pow.f64 N 2))))
(-.f64 (-.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 1/2 (pow.f64 N 2))) (/.f64 1/4 (pow.f64 N 4)))
(-.f64 (*.f64 1/3 (/.f64 1 (pow.f64 N 3))) (+.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 1/4 (pow.f64 N 4)) (/.f64 1/2 (pow.f64 N 2))))
(-.f64 (-.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 1/2 (pow.f64 N 2))) (/.f64 1/4 (pow.f64 N 4)))
(/.f64 1/3 N)
(-.f64 (*.f64 1/3 (/.f64 1 N)) (*.f64 1/6 (/.f64 1 (pow.f64 N 2))))
(-.f64 (/.f64 1/3 N) (/.f64 1/6 (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 1/9 (pow.f64 N 3)) (-.f64 (/.f64 1/3 N) (/.f64 1/6 (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)))))
(-.f64 (+.f64 (/.f64 1/3 N) (/.f64 1/9 (pow.f64 N 3))) (+.f64 (/.f64 1/6 (pow.f64 N 2)) (/.f64 1/12 (pow.f64 N 4))))
(log.f64 (pow.f64 (cbrt.f64 -1) 2))
(*.f64 2 (log.f64 (cbrt.f64 -1)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 -1) 2)) (*.f64 -1/3 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 5)) 1/3) (/.f64 1 N))))
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(fma.f64 (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))) 2) (cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))) 0)
(-.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))) 0)
(-.f64 (log1p.f64 N) (log.f64 N))
(+.f64 (sqrt.f64 (log.f64 N)) 0)
(sqrt.f64 (log.f64 N))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (log.f64 N)))) 1)
(expm1.f64 (log1p.f64 (sqrt.f64 (log.f64 N))))
(*.f64 1 (sqrt.f64 (log.f64 N)))
(sqrt.f64 (log.f64 N))
(*.f64 (cbrt.f64 (log.f64 N)) (cbrt.f64 (sqrt.f64 (log.f64 N))))
(*.f64 (pow.f64 (log.f64 N) 1/4) (pow.f64 (log.f64 N) 1/4))
(sqrt.f64 (log.f64 N))
(*.f64 (pow.f64 1 1/2) (sqrt.f64 (log.f64 N)))
(sqrt.f64 (log.f64 N))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (log.f64 N) 2)) 1/2) (pow.f64 (cbrt.f64 (log.f64 N)) 1/2))
(*.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (log.f64 N) 2))) (sqrt.f64 (cbrt.f64 (log.f64 N))))
(*.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (log.f64 N) 2))) (sqrt.f64 (cbrt.f64 (log.f64 N))))
(/.f64 (pow.f64 (log.f64 N) 3/2) (+.f64 (log.f64 N) (-.f64 0 (*.f64 (sqrt.f64 (log.f64 N)) 0))))
(/.f64 (pow.f64 (log.f64 N) 3/2) (log.f64 N))
(/.f64 (-.f64 (log.f64 N) 0) (-.f64 (sqrt.f64 (log.f64 N)) 0))
(/.f64 (log.f64 N) (sqrt.f64 (log.f64 N)))
(pow.f64 (log.f64 N) 1/2)
(sqrt.f64 (log.f64 N))
(pow.f64 (sqrt.f64 (log.f64 N)) 1)
(sqrt.f64 (log.f64 N))
(pow.f64 (cbrt.f64 (sqrt.f64 (log.f64 N))) 3)
(sqrt.f64 (log.f64 N))
(pow.f64 (pow.f64 (log.f64 N) 1/4) 2)
(sqrt.f64 (log.f64 N))
(pow.f64 (pow.f64 (log.f64 N) 3/2) 1/3)
(cbrt.f64 (pow.f64 (log.f64 N) 3/2))
(fabs.f64 (sqrt.f64 (log.f64 N)))
(sqrt.f64 (log.f64 N))
(log.f64 (exp.f64 (sqrt.f64 (log.f64 N))))
(sqrt.f64 (log.f64 N))
(log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (log.f64 N)))))
(sqrt.f64 (log.f64 N))
(cbrt.f64 (pow.f64 (log.f64 N) 3/2))
(expm1.f64 (log1p.f64 (sqrt.f64 (log.f64 N))))
(log1p.f64 (expm1.f64 (sqrt.f64 (log.f64 N))))
(sqrt.f64 (log.f64 N))
(exp.f64 (log.f64 (sqrt.f64 (log.f64 N))))
(sqrt.f64 (log.f64 N))
(exp.f64 (*.f64 (log.f64 (log.f64 N)) 1/2))
(sqrt.f64 (log.f64 N))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (log.f64 N))) 1))
(sqrt.f64 (log.f64 N))
(fma.f64 1 (sqrt.f64 (log.f64 N)) 0)
(sqrt.f64 (log.f64 N))
(fma.f64 (cbrt.f64 (log.f64 N)) (cbrt.f64 (sqrt.f64 (log.f64 N))) 0)
(*.f64 (cbrt.f64 (log.f64 N)) (cbrt.f64 (sqrt.f64 (log.f64 N))))
(fma.f64 (pow.f64 (log.f64 N) 1/4) (pow.f64 (log.f64 N) 1/4) 0)
(sqrt.f64 (log.f64 N))
(+.f64 (sqrt.f64 (log1p.f64 N)) 0)
(sqrt.f64 (log1p.f64 N))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (log1p.f64 N)))) 1)
(expm1.f64 (log1p.f64 (sqrt.f64 (log1p.f64 N))))
(*.f64 1 (sqrt.f64 (log1p.f64 N)))
(sqrt.f64 (log1p.f64 N))
(*.f64 (cbrt.f64 (log1p.f64 N)) (cbrt.f64 (sqrt.f64 (log1p.f64 N))))
(*.f64 (pow.f64 (log1p.f64 N) 1/4) (pow.f64 (log1p.f64 N) 1/4))
(sqrt.f64 (log1p.f64 N))
(*.f64 (pow.f64 1 1/2) (sqrt.f64 (log1p.f64 N)))
(sqrt.f64 (log1p.f64 N))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (log1p.f64 N) 2)) 1/2) (pow.f64 (cbrt.f64 (log1p.f64 N)) 1/2))
(*.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (log1p.f64 N) 2))) (sqrt.f64 (cbrt.f64 (log1p.f64 N))))
(*.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (log1p.f64 N) 2))) (sqrt.f64 (cbrt.f64 (log1p.f64 N))))
(/.f64 (pow.f64 (log1p.f64 N) 3/2) (+.f64 (log1p.f64 N) (-.f64 0 (*.f64 (sqrt.f64 (log1p.f64 N)) 0))))
(/.f64 (pow.f64 (log1p.f64 N) 3/2) (log1p.f64 N))
(/.f64 (-.f64 (log1p.f64 N) 0) (-.f64 (sqrt.f64 (log1p.f64 N)) 0))
(/.f64 (log1p.f64 N) (sqrt.f64 (log1p.f64 N)))
(pow.f64 (log1p.f64 N) 1/2)
(sqrt.f64 (log1p.f64 N))
(pow.f64 (sqrt.f64 (log1p.f64 N)) 1)
(sqrt.f64 (log1p.f64 N))
(pow.f64 (cbrt.f64 (sqrt.f64 (log1p.f64 N))) 3)
(sqrt.f64 (log1p.f64 N))
(pow.f64 (pow.f64 (log1p.f64 N) 1/4) 2)
(sqrt.f64 (log1p.f64 N))
(pow.f64 (pow.f64 (log1p.f64 N) 3/2) 1/3)
(cbrt.f64 (pow.f64 (log1p.f64 N) 3/2))
(fabs.f64 (sqrt.f64 (log1p.f64 N)))
(sqrt.f64 (log1p.f64 N))
(log.f64 (exp.f64 (sqrt.f64 (log1p.f64 N))))
(sqrt.f64 (log1p.f64 N))
(log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (log1p.f64 N)))))
(sqrt.f64 (log1p.f64 N))
(cbrt.f64 (pow.f64 (log1p.f64 N) 3/2))
(expm1.f64 (log1p.f64 (sqrt.f64 (log1p.f64 N))))
(log1p.f64 (expm1.f64 (sqrt.f64 (log1p.f64 N))))
(sqrt.f64 (log1p.f64 N))
(exp.f64 (log.f64 (sqrt.f64 (log1p.f64 N))))
(sqrt.f64 (log1p.f64 N))
(exp.f64 (*.f64 (log.f64 (log1p.f64 N)) 1/2))
(sqrt.f64 (log1p.f64 N))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (log1p.f64 N))) 1))
(sqrt.f64 (log1p.f64 N))
(fma.f64 1 (sqrt.f64 (log1p.f64 N)) 0)
(sqrt.f64 (log1p.f64 N))
(fma.f64 (cbrt.f64 (log1p.f64 N)) (cbrt.f64 (sqrt.f64 (log1p.f64 N))) 0)
(*.f64 (cbrt.f64 (log1p.f64 N)) (cbrt.f64 (sqrt.f64 (log1p.f64 N))))
(fma.f64 (pow.f64 (log1p.f64 N) 1/4) (pow.f64 (log1p.f64 N) 1/4) 0)
(sqrt.f64 (log1p.f64 N))

eval742.0ms (6.8%)

Compiler

Compiled 28447 to 18282 computations (35.7% saved)

prune262.0ms (2.4%)

Pruning

35 alts after pruning (31 fresh and 4 done)

PrunedKeptTotal
New981261007
Fresh6511
Picked145
Done101
Total989351024
Accuracy
99.7%
Counts
1024 → 35
Alt Table
Click to see full alt table
StatusAccuracyProgram
20.7%
(/.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)))
20.7%
(/.f64 (-.f64 (pow.f64 (log1p.f64 N) 3) (pow.f64 (log.f64 N) 3)) (+.f64 (pow.f64 (log1p.f64 N) 2) (+.f64 (pow.f64 (log.f64 N) 2) (*.f64 (log1p.f64 N) (log.f64 N)))))
87.0%
(/.f64 1 N)
94.6%
(-.f64 (/.f64 1 N) (/.f64 1/2 (pow.f64 N 2)))
97.0%
(+.f64 (/.f64 1 N) (-.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 1/2 (pow.f64 N 2))))
98.2%
(+.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)))))
97.0%
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (-.f64 (/.f64 1 N) (/.f64 1/2 (pow.f64 N 2))))
21.5%
(+.f64 (*.f64 1/3 (-.f64 (log1p.f64 N) (log.f64 N))) (*.f64 2 (log.f64 (cbrt.f64 (/.f64 (+.f64 N 1) N)))))
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))))
20.7%
(*.f64 (-.f64 (pow.f64 (log1p.f64 N) 3) (pow.f64 (log.f64 N) 3)) (/.f64 1 (+.f64 (pow.f64 (log1p.f64 N) 2) (+.f64 (pow.f64 (log.f64 N) 2) (*.f64 (log1p.f64 N) (log.f64 N))))))
20.1%
(*.f64 (+.f64 (sqrt.f64 (log1p.f64 N)) (pow.f64 (cbrt.f64 (sqrt.f64 (log.f64 N))) 3)) (-.f64 (sqrt.f64 (log1p.f64 N)) (sqrt.f64 (log.f64 N))))
20.1%
(*.f64 (+.f64 (sqrt.f64 (log1p.f64 N)) (sqrt.f64 (log.f64 N))) (pow.f64 (pow.f64 (-.f64 (sqrt.f64 (log1p.f64 N)) (sqrt.f64 (log.f64 N))) 3) 1/3))
20.7%
(*.f64 (+.f64 (sqrt.f64 (log1p.f64 N)) (sqrt.f64 (log.f64 N))) (/.f64 (-.f64 (pow.f64 (log1p.f64 N) 3/2) (pow.f64 (log.f64 N) 3/2)) (+.f64 (log1p.f64 N) (+.f64 (log.f64 N) (sqrt.f64 (*.f64 (log1p.f64 N) (log.f64 N)))))))
20.7%
(*.f64 (+.f64 (sqrt.f64 (log1p.f64 N)) (sqrt.f64 (log.f64 N))) (/.f64 1 (/.f64 (+.f64 (log1p.f64 N) (+.f64 (log.f64 N) (sqrt.f64 (*.f64 (log1p.f64 N) (log.f64 N))))) (-.f64 (pow.f64 (log1p.f64 N) 3/2) (pow.f64 (log.f64 N) 3/2)))))
20.1%
(*.f64 (+.f64 (sqrt.f64 (log1p.f64 N)) (sqrt.f64 (log.f64 N))) (-.f64 (sqrt.f64 (log1p.f64 N)) (sqrt.f64 (log.f64 N))))
20.1%
(*.f64 (+.f64 (sqrt.f64 (log1p.f64 N)) (sqrt.f64 (log.f64 N))) (log.f64 (exp.f64 (-.f64 (sqrt.f64 (log1p.f64 N)) (sqrt.f64 (log.f64 N))))))
86.6%
(*.f64 3 (/.f64 1/3 N))
94.1%
(*.f64 3 (-.f64 (/.f64 1/3 N) (/.f64 1/6 (pow.f64 N 2))))
97.7%
(*.f64 3 (-.f64 (+.f64 (/.f64 1/3 N) (/.f64 1/9 (pow.f64 N 3))) (+.f64 (/.f64 1/6 (pow.f64 N 2)) (/.f64 1/12 (pow.f64 N 4)))))
20.8%
(*.f64 3 (-.f64 (log.f64 (cbrt.f64 (+.f64 N 1))) (log.f64 (cbrt.f64 N))))
96.5%
(*.f64 3 (+.f64 (/.f64 1/9 (pow.f64 N 3)) (-.f64 (/.f64 1/3 N) (/.f64 1/6 (pow.f64 N 2)))))
21.5%
(*.f64 3 (+.f64 (log.f64 (pow.f64 (/.f64 (+.f64 N 1) N) 1/6)) (log.f64 (pow.f64 (/.f64 (+.f64 N 1) N) 1/6))))
22.3%
(*.f64 3 (log.f64 (pow.f64 (/.f64 (+.f64 N 1) N) 1/3)))
16.9%
(*.f64 3 (log.f64 (+.f64 1 (/.f64 1/3 N))))
21.9%
(*.f64 3 (log.f64 (cbrt.f64 (/.f64 (+.f64 N 1) N))))
22.5%
(*.f64 2 (log.f64 (sqrt.f64 (/.f64 (+.f64 N 1) N))))
23.9%
(neg.f64 (log.f64 (/.f64 N (+.f64 N 1))))
23.3%
(log.f64 (/.f64 (+.f64 N 1) N))
92.1%
(exp.f64 (-.f64 (-.f64 (/.f64 5/24 (pow.f64 N 2)) (log.f64 N)) (/.f64 1/2 N)))
93.1%
(exp.f64 (-.f64 (-.f64 (/.f64 5/24 (pow.f64 N 2)) (log.f64 N)) (+.f64 (/.f64 1/2 N) (/.f64 1/8 (pow.f64 N 3)))))
89.9%
(exp.f64 (-.f64 (neg.f64 (log.f64 N)) (/.f64 1/2 N)))
93.2%
(exp.f64 (+.f64 (neg.f64 (log.f64 N)) (-.f64 (/.f64 5/24 (pow.f64 N 2)) (+.f64 (/.f64 1/2 N) (/.f64 1/8 (pow.f64 N 3))))))
89.0%
(exp.f64 (*.f64 (-.f64 (*.f64 3 (neg.f64 (log.f64 N))) (/.f64 3/2 N)) 1/3))
20.1%
(exp.f64 (*.f64 (*.f64 3 (log.f64 (*.f64 (+.f64 (sqrt.f64 (log1p.f64 N)) (sqrt.f64 (log.f64 N))) (-.f64 (sqrt.f64 (log1p.f64 N)) (sqrt.f64 (log.f64 N)))))) 1/3))
23.3%
(exp.f64 (*.f64 (*.f64 3 (log.f64 (log.f64 (/.f64 (+.f64 N 1) N)))) 1/3))
Compiler

Compiled 1102 to 791 computations (28.2% saved)

localize455.0ms (4.2%)

Localize:

Found 16 expressions with local error:

NewAccuracyProgram
99.8%
(sqrt.f64 (log.f64 N))
99.4%
(*.f64 (+.f64 (sqrt.f64 (log1p.f64 N)) (sqrt.f64 (log.f64 N))) (log.f64 (exp.f64 (-.f64 (sqrt.f64 (log1p.f64 N)) (sqrt.f64 (log.f64 N))))))
21.3%
(log.f64 (exp.f64 (-.f64 (sqrt.f64 (log1p.f64 N)) (sqrt.f64 (log.f64 N)))))
20.1%
(-.f64 (sqrt.f64 (log1p.f64 N)) (sqrt.f64 (log.f64 N)))
99.9%
(-.f64 (/.f64 5/24 (pow.f64 N 2)) (log.f64 N))
99.9%
(-.f64 (-.f64 (/.f64 5/24 (pow.f64 N 2)) (log.f64 N)) (/.f64 1/2 N))
99.5%
(/.f64 5/24 (pow.f64 N 2))
94.8%
(exp.f64 (-.f64 (-.f64 (/.f64 5/24 (pow.f64 N 2)) (log.f64 N)) (/.f64 1/2 N)))
99.9%
(sqrt.f64 (/.f64 (+.f64 N 1) N))
22.6%
(log.f64 (sqrt.f64 (/.f64 (+.f64 N 1) N)))
99.6%
(*.f64 3 (/.f64 1/3 N))
99.4%
(/.f64 1/3 N)
99.5%
(/.f64 1/9 (pow.f64 N 3))
99.4%
(/.f64 1/12 (pow.f64 N 4))
99.4%
(/.f64 1/3 N)
99.4%
(/.f64 1/6 (pow.f64 N 2))
Compiler

Compiled 254 to 154 computations (39.4% saved)

series197.0ms (1.8%)

Counts
14 → 82
Calls

42 calls:

TimeVariablePointExpression
158.0ms
N
@-inf
(log.f64 (exp.f64 (-.f64 (sqrt.f64 (log1p.f64 N)) (sqrt.f64 (log.f64 N)))))
6.0ms
N
@0
(/.f64 1/3 N)
2.0ms
N
@0
(log.f64 (sqrt.f64 (/.f64 (+.f64 N 1) N)))
2.0ms
N
@-inf
(*.f64 (+.f64 (sqrt.f64 (log1p.f64 N)) (sqrt.f64 (log.f64 N))) (log.f64 (exp.f64 (-.f64 (sqrt.f64 (log1p.f64 N)) (sqrt.f64 (log.f64 N))))))
1.0ms
N
@inf
(log.f64 (exp.f64 (-.f64 (sqrt.f64 (log1p.f64 N)) (sqrt.f64 (log.f64 N)))))

rewrite159.0ms (1.5%)

Algorithm
batch-egg-rewrite
Rules
270×add0
268×fma-define
268×log1p-expm1-u
268×expm1-log1p-u
264×pow1
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
042357
1665315
Stop Event
node limit
Counts
14 → 495
Calls
Call 1
Inputs
(/.f64 1/6 (pow.f64 N 2))
(/.f64 1/3 N)
(/.f64 1/12 (pow.f64 N 4))
(/.f64 1/9 (pow.f64 N 3))
(/.f64 1/3 N)
(*.f64 3 (/.f64 1/3 N))
(log.f64 (sqrt.f64 (/.f64 (+.f64 N 1) N)))
(sqrt.f64 (/.f64 (+.f64 N 1) N))
(exp.f64 (-.f64 (-.f64 (/.f64 5/24 (pow.f64 N 2)) (log.f64 N)) (/.f64 1/2 N)))
(/.f64 5/24 (pow.f64 N 2))
(-.f64 (-.f64 (/.f64 5/24 (pow.f64 N 2)) (log.f64 N)) (/.f64 1/2 N))
(-.f64 (/.f64 5/24 (pow.f64 N 2)) (log.f64 N))
(log.f64 (exp.f64 (-.f64 (sqrt.f64 (log1p.f64 N)) (sqrt.f64 (log.f64 N)))))
(*.f64 (+.f64 (sqrt.f64 (log1p.f64 N)) (sqrt.f64 (log.f64 N))) (log.f64 (exp.f64 (-.f64 (sqrt.f64 (log1p.f64 N)) (sqrt.f64 (log.f64 N))))))
Outputs
(+.f64 (*.f64 1/6 (pow.f64 N -2)) 0)
(+.f64 (*.f64 (*.f64 1/6 (pow.f64 N -2)) 1) 0)
(-.f64 (exp.f64 (log1p.f64 (*.f64 1/6 (pow.f64 N -2)))) 1)
(*.f64 1/6 (pow.f64 N -2))
(*.f64 1 (*.f64 1/6 (pow.f64 N -2)))
(*.f64 (cbrt.f64 (/.f64 1/36 (pow.f64 N 4))) (cbrt.f64 (*.f64 1/6 (pow.f64 N -2))))
(*.f64 (/.f64 (sqrt.f64 1/6) N) (/.f64 (sqrt.f64 1/6) N))
(*.f64 -1/6 (/.f64 1 (neg.f64 (pow.f64 N 2))))
(pow.f64 (*.f64 1/6 (pow.f64 N -2)) 1)
(pow.f64 (cbrt.f64 (*.f64 1/6 (pow.f64 N -2))) 3)
(pow.f64 (pow.f64 (*.f64 1/6 (pow.f64 N -2)) 3) 1/3)
(pow.f64 (/.f64 (sqrt.f64 1/6) N) 2)
(pow.f64 (*.f64 (pow.f64 N 2) 6) -1)
(sqrt.f64 (/.f64 1/36 (pow.f64 N 4)))
(log.f64 (pow.f64 (exp.f64 1/6) (pow.f64 N -2)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 1/6 (pow.f64 N -2)))))
(cbrt.f64 (pow.f64 (*.f64 1/6 (pow.f64 N -2)) 3))
(expm1.f64 (log1p.f64 (*.f64 1/6 (pow.f64 N -2))))
(log1p.f64 (expm1.f64 (*.f64 1/6 (pow.f64 N -2))))
(exp.f64 (log.f64 (*.f64 1/6 (pow.f64 N -2))))
(exp.f64 (*.f64 (log.f64 (*.f64 1/6 (pow.f64 N -2))) 1))
(fma.f64 1/6 (pow.f64 N -2) 0)
(fma.f64 1 (*.f64 1/6 (pow.f64 N -2)) 0)
(fma.f64 (cbrt.f64 (/.f64 1/36 (pow.f64 N 4))) (cbrt.f64 (*.f64 1/6 (pow.f64 N -2))) 0)
(fma.f64 (/.f64 (sqrt.f64 1/6) N) (/.f64 (sqrt.f64 1/6) N) 0)
(+.f64 (/.f64 1/3 N) 0)
(+.f64 (*.f64 (/.f64 1 N) 1/3) 0)
(+.f64 (*.f64 (/.f64 1/3 N) 1) 0)
(-.f64 (exp.f64 (log1p.f64 (/.f64 1/3 N))) 1)
(*.f64 1/3 (/.f64 1 N))
(*.f64 1 (/.f64 1/3 N))
(*.f64 (cbrt.f64 (/.f64 1/9 (pow.f64 N 2))) (cbrt.f64 (/.f64 1/3 N)))
(*.f64 (sqrt.f64 (/.f64 1/3 N)) (sqrt.f64 (/.f64 1/3 N)))
(*.f64 -1/3 (/.f64 1 (neg.f64 N)))
(pow.f64 (/.f64 1/3 N) 1)
(pow.f64 (cbrt.f64 (/.f64 1/3 N)) 3)
(pow.f64 (pow.f64 (/.f64 1/3 N) 3) 1/3)
(pow.f64 (sqrt.f64 (/.f64 1/3 N)) 2)
(pow.f64 (*.f64 N 3) -1)
(sqrt.f64 (/.f64 1/9 (pow.f64 N 2)))
(log.f64 (exp.f64 (/.f64 1/3 N)))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 1/3 N))))
(cbrt.f64 (pow.f64 (/.f64 1/3 N) 3))
(expm1.f64 (log1p.f64 (/.f64 1/3 N)))
(log1p.f64 (expm1.f64 (/.f64 1/3 N)))
(exp.f64 (log.f64 (/.f64 1/3 N)))
(exp.f64 (*.f64 (log.f64 (/.f64 1/3 N)) 1))
(fma.f64 1/3 (/.f64 1 N) 0)
(fma.f64 1 (/.f64 1/3 N) 0)
(fma.f64 (cbrt.f64 (/.f64 1/9 (pow.f64 N 2))) (cbrt.f64 (/.f64 1/3 N)) 0)
(fma.f64 (sqrt.f64 (/.f64 1/3 N)) (sqrt.f64 (/.f64 1/3 N)) 0)
(+.f64 (*.f64 1/12 (pow.f64 N -4)) 0)
(+.f64 (*.f64 (*.f64 1/12 (pow.f64 N -4)) 1) 0)
(-.f64 (exp.f64 (log1p.f64 (*.f64 1/12 (pow.f64 N -4)))) 1)
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(/.f64 (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 2) (-.f64 (log1p.f64 N) (log.f64 N)))
(/.f64 (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 3) (+.f64 (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 2) (-.f64 0 (*.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 0))))
(/.f64 (*.f64 (+.f64 (pow.f64 (log1p.f64 N) 3/2) (pow.f64 (log.f64 N) 3/2)) (-.f64 (log1p.f64 N) (log.f64 N))) (+.f64 (pow.f64 (log1p.f64 N) 3/2) (pow.f64 (log.f64 N) 3/2)))
(/.f64 (*.f64 (-.f64 (log1p.f64 N) (log.f64 N)) (+.f64 (pow.f64 (log1p.f64 N) 3/2) (pow.f64 (log.f64 N) 3/2))) (*.f64 (+.f64 (sqrt.f64 (log1p.f64 N)) (sqrt.f64 (log.f64 N))) (+.f64 (log1p.f64 N) (-.f64 (log.f64 N) (sqrt.f64 (*.f64 (log1p.f64 N) (log.f64 N)))))))
(/.f64 (*.f64 (-.f64 (pow.f64 (log1p.f64 N) 3/2) (pow.f64 (log.f64 N) 3/2)) (+.f64 (pow.f64 (log1p.f64 N) 3/2) (pow.f64 (log.f64 N) 3/2))) (*.f64 (+.f64 (log1p.f64 N) (+.f64 (log.f64 N) (sqrt.f64 (*.f64 (log1p.f64 N) (log.f64 N))))) (+.f64 (log1p.f64 N) (-.f64 (log.f64 N) (sqrt.f64 (*.f64 (log1p.f64 N) (log.f64 N)))))))
(/.f64 (*.f64 (-.f64 (pow.f64 (log1p.f64 N) 3/2) (pow.f64 (log.f64 N) 3/2)) (-.f64 (log1p.f64 N) (log.f64 N))) (-.f64 (pow.f64 (log1p.f64 N) 3/2) (pow.f64 (log.f64 N) 3/2)))
(/.f64 (*.f64 (+.f64 (pow.f64 (log1p.f64 N) 3/2) (pow.f64 (log.f64 N) 3/2)) (-.f64 (pow.f64 (log1p.f64 N) 3/2) (pow.f64 (log.f64 N) 3/2))) (*.f64 (+.f64 (log1p.f64 N) (-.f64 (log.f64 N) (sqrt.f64 (*.f64 (log1p.f64 N) (log.f64 N))))) (+.f64 (log1p.f64 N) (+.f64 (log.f64 N) (sqrt.f64 (*.f64 (log1p.f64 N) (log.f64 N)))))))
(/.f64 (*.f64 (-.f64 (log1p.f64 N) (log.f64 N)) (-.f64 (pow.f64 (log1p.f64 N) 3/2) (pow.f64 (log.f64 N) 3/2))) (*.f64 (-.f64 (sqrt.f64 (log1p.f64 N)) (sqrt.f64 (log.f64 N))) (+.f64 (log1p.f64 N) (+.f64 (log.f64 N) (sqrt.f64 (*.f64 (log1p.f64 N) (log.f64 N)))))))
(/.f64 (-.f64 (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 2) 0) (-.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 0))
(/.f64 (-.f64 (pow.f64 (log1p.f64 N) 3) (pow.f64 (log.f64 N) 3)) (+.f64 (pow.f64 (log1p.f64 N) 2) (+.f64 (pow.f64 (log.f64 N) 2) (*.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)))
(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 (-.f64 (log1p.f64 N) (log.f64 N)) 1)
(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))
(cbrt.f64 (*.f64 (pow.f64 (-.f64 (sqrt.f64 (log1p.f64 N)) (sqrt.f64 (log.f64 N))) 3) (pow.f64 (+.f64 (sqrt.f64 (log1p.f64 N)) (sqrt.f64 (log.f64 N))) 3)))
(cbrt.f64 (*.f64 (pow.f64 (+.f64 (sqrt.f64 (log1p.f64 N)) (sqrt.f64 (log.f64 N))) 3) (pow.f64 (-.f64 (sqrt.f64 (log1p.f64 N)) (sqrt.f64 (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 (-.f64 (log1p.f64 N) (log.f64 N))) 1))
(fma.f64 1 (log1p.f64 N) (neg.f64 (log.f64 N)))
(fma.f64 1 (-.f64 (log1p.f64 N) (log.f64 N)) 0)
(fma.f64 (sqrt.f64 (log1p.f64 N)) (sqrt.f64 (log1p.f64 N)) (neg.f64 (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))) 0)
(fma.f64 (+.f64 (sqrt.f64 (log1p.f64 N)) (sqrt.f64 (log.f64 N))) (-.f64 (sqrt.f64 (log1p.f64 N)) (sqrt.f64 (log.f64 N))) 0)
(fma.f64 (cbrt.f64 (pow.f64 (log1p.f64 N) 2)) (cbrt.f64 (log1p.f64 N)) (neg.f64 (log.f64 N)))
(fma.f64 (cbrt.f64 (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 2)) (cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))) 0)
(fma.f64 (sqrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))) (sqrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))) 0)

simplify334.0ms (3.1%)

Algorithm
egg-herbie
Rules
1485×add0
686×times-frac
548×fma-neg
470×sqr-pow
422×sub-neg
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0124529936
1431028546
Stop Event
node limit
Counts
577 → 797
Calls
Call 1
Inputs
(/.f64 1 N)
(/.f64 1 N)
(/.f64 1 N)
(/.f64 1 N)
(/.f64 1 N)
(/.f64 1 N)
(/.f64 1 N)
(/.f64 1 N)
(/.f64 1 N)
(/.f64 1 N)
(/.f64 1 N)
(/.f64 1 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)))))))
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)))))
(exp.f64 (-.f64 (*.f64 5/24 (/.f64 1 (pow.f64 N 2))) (+.f64 (log.f64 N) (*.f64 1/2 (/.f64 1 N)))))
(exp.f64 (-.f64 (*.f64 5/24 (/.f64 1 (pow.f64 N 2))) (+.f64 (log.f64 N) (*.f64 1/2 (/.f64 1 N)))))
(exp.f64 (-.f64 (*.f64 5/24 (/.f64 1 (pow.f64 N 2))) (+.f64 (log.f64 N) (*.f64 1/2 (/.f64 1 N)))))
(exp.f64 (-.f64 (*.f64 5/24 (/.f64 1 (pow.f64 N 2))) (+.f64 (log.f64 N) (*.f64 1/2 (/.f64 1 N)))))
(exp.f64 (neg.f64 (*.f64 -1 (log.f64 (/.f64 1 N)))))
(+.f64 (exp.f64 (neg.f64 (*.f64 -1 (log.f64 (/.f64 1 N))))) (*.f64 -1/2 (/.f64 (exp.f64 (neg.f64 (*.f64 -1 (log.f64 (/.f64 1 N))))) N)))
(+.f64 (exp.f64 (neg.f64 (*.f64 -1 (log.f64 (/.f64 1 N))))) (+.f64 (*.f64 -1/2 (/.f64 (exp.f64 (neg.f64 (*.f64 -1 (log.f64 (/.f64 1 N))))) N)) (*.f64 1/3 (/.f64 (exp.f64 (neg.f64 (*.f64 -1 (log.f64 (/.f64 1 N))))) (pow.f64 N 2)))))
(+.f64 (exp.f64 (neg.f64 (*.f64 -1 (log.f64 (/.f64 1 N))))) (+.f64 (*.f64 -1/2 (/.f64 (exp.f64 (neg.f64 (*.f64 -1 (log.f64 (/.f64 1 N))))) N)) (+.f64 (*.f64 -1/8 (/.f64 (exp.f64 (neg.f64 (*.f64 -1 (log.f64 (/.f64 1 N))))) (pow.f64 N 3))) (*.f64 1/3 (/.f64 (exp.f64 (neg.f64 (*.f64 -1 (log.f64 (/.f64 1 N))))) (pow.f64 N 2))))))
(exp.f64 (neg.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 N))))))
(+.f64 (exp.f64 (neg.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 N)))))) (*.f64 -1/2 (/.f64 (exp.f64 (neg.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 N)))))) N)))
(+.f64 (exp.f64 (neg.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 N)))))) (+.f64 (*.f64 -1/2 (/.f64 (exp.f64 (neg.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 N)))))) N)) (*.f64 1/3 (/.f64 (exp.f64 (neg.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 N)))))) (pow.f64 N 2)))))
(+.f64 (exp.f64 (neg.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 N)))))) (+.f64 (*.f64 -1/2 (/.f64 (exp.f64 (neg.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 N)))))) N)) (+.f64 (*.f64 -1/8 (/.f64 (exp.f64 (neg.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 N)))))) (pow.f64 N 3))) (*.f64 1/3 (/.f64 (exp.f64 (neg.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 N)))))) (pow.f64 N 2))))))
(/.f64 5/24 (pow.f64 N 2))
(-.f64 (*.f64 5/24 (/.f64 1 (pow.f64 N 2))) (*.f64 1/2 (/.f64 1 N)))
(-.f64 (+.f64 (*.f64 -1 (log.f64 N)) (*.f64 5/24 (/.f64 1 (pow.f64 N 2)))) (*.f64 1/2 (/.f64 1 N)))
(-.f64 (+.f64 (*.f64 -1 (log.f64 N)) (*.f64 5/24 (/.f64 1 (pow.f64 N 2)))) (*.f64 1/2 (/.f64 1 N)))
(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 1/2 (/.f64 1 N)))
(*.f64 -1 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 N)))))
(-.f64 (*.f64 -1 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 N))))) (*.f64 1/2 (/.f64 1 N)))
(-.f64 (+.f64 (*.f64 -1 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 N))))) (*.f64 5/24 (/.f64 1 (pow.f64 N 2)))) (*.f64 1/2 (/.f64 1 N)))
(-.f64 (+.f64 (*.f64 -1 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 N))))) (*.f64 5/24 (/.f64 1 (pow.f64 N 2)))) (*.f64 1/2 (/.f64 1 N)))
(/.f64 5/24 (pow.f64 N 2))
(+.f64 (*.f64 -1 (log.f64 N)) (*.f64 5/24 (/.f64 1 (pow.f64 N 2))))
(+.f64 (*.f64 -1 (log.f64 N)) (*.f64 5/24 (/.f64 1 (pow.f64 N 2))))
(+.f64 (*.f64 -1 (log.f64 N)) (*.f64 5/24 (/.f64 1 (pow.f64 N 2))))
(log.f64 (/.f64 1 N))
(+.f64 (log.f64 (/.f64 1 N)) (*.f64 5/24 (/.f64 1 (pow.f64 N 2))))
(+.f64 (log.f64 (/.f64 1 N)) (*.f64 5/24 (/.f64 1 (pow.f64 N 2))))
(+.f64 (log.f64 (/.f64 1 N)) (*.f64 5/24 (/.f64 1 (pow.f64 N 2))))
(*.f64 -1 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 N)))))
(+.f64 (*.f64 -1 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 N))))) (*.f64 5/24 (/.f64 1 (pow.f64 N 2))))
(+.f64 (*.f64 -1 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 N))))) (*.f64 5/24 (/.f64 1 (pow.f64 N 2))))
(+.f64 (*.f64 -1 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 N))))) (*.f64 5/24 (/.f64 1 (pow.f64 N 2))))
(*.f64 -1 (sqrt.f64 (log.f64 N)))
(*.f64 1/2 (*.f64 (/.f64 1 (*.f64 N (sqrt.f64 -1))) (sqrt.f64 (/.f64 1 (log.f64 (/.f64 1 N))))))
(+.f64 (*.f64 -1/2 (*.f64 (/.f64 (+.f64 1/2 (pow.f64 (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (log.f64 (/.f64 1 N)))) (/.f64 1 (sqrt.f64 -1)))) 2)) (*.f64 (pow.f64 N 2) (sqrt.f64 -1))) (sqrt.f64 (/.f64 1 (log.f64 (/.f64 1 N)))))) (*.f64 1/2 (*.f64 (/.f64 1 (*.f64 N (sqrt.f64 -1))) (sqrt.f64 (/.f64 1 (log.f64 (/.f64 1 N)))))))
(+.f64 (*.f64 -1/2 (*.f64 (/.f64 (+.f64 1/2 (pow.f64 (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (log.f64 (/.f64 1 N)))) (/.f64 1 (sqrt.f64 -1)))) 2)) (*.f64 (pow.f64 N 2) (sqrt.f64 -1))) (sqrt.f64 (/.f64 1 (log.f64 (/.f64 1 N)))))) (+.f64 (*.f64 1/2 (*.f64 (/.f64 1 (*.f64 N (sqrt.f64 -1))) (sqrt.f64 (/.f64 1 (log.f64 (/.f64 1 N)))))) (*.f64 1/2 (*.f64 (/.f64 (-.f64 1/3 (*.f64 -1/2 (/.f64 (+.f64 1/2 (pow.f64 (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (log.f64 (/.f64 1 N)))) (/.f64 1 (sqrt.f64 -1)))) 2)) (*.f64 (log.f64 (/.f64 1 N)) (pow.f64 (sqrt.f64 -1) 2))))) (*.f64 (pow.f64 N 3) (sqrt.f64 -1))) (sqrt.f64 (/.f64 1 (log.f64 (/.f64 1 N))))))))
(+.f64 (*.f64 -1/2 (*.f64 (/.f64 (+.f64 1/4 (+.f64 (*.f64 1/2 (/.f64 (-.f64 1/3 (*.f64 -1/2 (/.f64 (+.f64 1/2 (pow.f64 (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (log.f64 (/.f64 1 N)))) (/.f64 1 (sqrt.f64 -1)))) 2)) (*.f64 (log.f64 (/.f64 1 N)) (pow.f64 (sqrt.f64 -1) 2))))) (*.f64 (log.f64 (/.f64 1 N)) (pow.f64 (sqrt.f64 -1) 2)))) (pow.f64 (*.f64 -1/2 (*.f64 (sqrt.f64 (/.f64 1 (log.f64 (/.f64 1 N)))) (/.f64 (+.f64 1/2 (pow.f64 (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (log.f64 (/.f64 1 N)))) (/.f64 1 (sqrt.f64 -1)))) 2)) (sqrt.f64 -1)))) 2))) (*.f64 (pow.f64 N 4) (sqrt.f64 -1))) (sqrt.f64 (/.f64 1 (log.f64 (/.f64 1 N)))))) (+.f64 (*.f64 -1/2 (*.f64 (/.f64 (+.f64 1/2 (pow.f64 (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (log.f64 (/.f64 1 N)))) (/.f64 1 (sqrt.f64 -1)))) 2)) (*.f64 (pow.f64 N 2) (sqrt.f64 -1))) (sqrt.f64 (/.f64 1 (log.f64 (/.f64 1 N)))))) (+.f64 (*.f64 1/2 (*.f64 (/.f64 1 (*.f64 N (sqrt.f64 -1))) (sqrt.f64 (/.f64 1 (log.f64 (/.f64 1 N)))))) (*.f64 1/2 (*.f64 (/.f64 (-.f64 1/3 (*.f64 -1/2 (/.f64 (+.f64 1/2 (pow.f64 (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (log.f64 (/.f64 1 N)))) (/.f64 1 (sqrt.f64 -1)))) 2)) (*.f64 (log.f64 (/.f64 1 N)) (pow.f64 (sqrt.f64 -1) 2))))) (*.f64 (pow.f64 N 3) (sqrt.f64 -1))) (sqrt.f64 (/.f64 1 (log.f64 (/.f64 1 N)))))))))
(*.f64 1/2 (*.f64 (/.f64 1 N) (sqrt.f64 (/.f64 1 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 N))))))))
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(+.f64 (fma.f64 1 (sqrt.f64 (log1p.f64 N)) (neg.f64 (*.f64 (sqrt.f64 (log.f64 N)) 1))) (fma.f64 (neg.f64 (sqrt.f64 (log.f64 N))) 1 (*.f64 (sqrt.f64 (log.f64 N)) 1)))
(+.f64 (fma.f64 1 (sqrt.f64 (log1p.f64 N)) (neg.f64 (*.f64 (cbrt.f64 (sqrt.f64 (log.f64 N))) (cbrt.f64 (log.f64 N))))) (fma.f64 (neg.f64 (cbrt.f64 (sqrt.f64 (log.f64 N)))) (cbrt.f64 (log.f64 N)) (*.f64 (cbrt.f64 (sqrt.f64 (log.f64 N))) (cbrt.f64 (log.f64 N)))))
(+.f64 (fma.f64 (cbrt.f64 (log1p.f64 N)) (cbrt.f64 (sqrt.f64 (log1p.f64 N))) (neg.f64 (*.f64 (sqrt.f64 (log.f64 N)) 1))) (fma.f64 (neg.f64 (sqrt.f64 (log.f64 N))) 1 (*.f64 (sqrt.f64 (log.f64 N)) 1)))
(+.f64 (fma.f64 (cbrt.f64 (log1p.f64 N)) (cbrt.f64 (sqrt.f64 (log1p.f64 N))) (neg.f64 (*.f64 (cbrt.f64 (sqrt.f64 (log.f64 N))) (cbrt.f64 (log.f64 N))))) (fma.f64 (neg.f64 (cbrt.f64 (sqrt.f64 (log.f64 N)))) (cbrt.f64 (log.f64 N)) (*.f64 (cbrt.f64 (sqrt.f64 (log.f64 N))) (cbrt.f64 (log.f64 N)))))
(+.f64 (fma.f64 (pow.f64 (log1p.f64 N) 1/4) (pow.f64 (log1p.f64 N) 1/4) (neg.f64 (*.f64 (sqrt.f64 (log.f64 N)) 1))) (fma.f64 (neg.f64 (sqrt.f64 (log.f64 N))) 1 (*.f64 (sqrt.f64 (log.f64 N)) 1)))
(+.f64 (fma.f64 (pow.f64 (log1p.f64 N) 1/4) (pow.f64 (log1p.f64 N) 1/4) (neg.f64 (*.f64 (cbrt.f64 (sqrt.f64 (log.f64 N))) (cbrt.f64 (log.f64 N))))) (fma.f64 (neg.f64 (cbrt.f64 (sqrt.f64 (log.f64 N)))) (cbrt.f64 (log.f64 N)) (*.f64 (cbrt.f64 (sqrt.f64 (log.f64 N))) (cbrt.f64 (log.f64 N)))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (-.f64 (sqrt.f64 (log1p.f64 N)) (sqrt.f64 (log.f64 N))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (-.f64 (sqrt.f64 (log1p.f64 N)) (sqrt.f64 (log.f64 N)))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (-.f64 (sqrt.f64 (log1p.f64 N)) (sqrt.f64 (log.f64 N)))))) (log.f64 (sqrt.f64 (exp.f64 (-.f64 (sqrt.f64 (log1p.f64 N)) (sqrt.f64 (log.f64 N)))))))
(+.f64 (*.f64 (-.f64 (sqrt.f64 (log1p.f64 N)) (sqrt.f64 (log.f64 N))) 1) 0)
(+.f64 (*.f64 (sqrt.f64 (log1p.f64 N)) 1) (*.f64 (neg.f64 (sqrt.f64 (log.f64 N))) 1))
(-.f64 (sqrt.f64 (log1p.f64 N)) (sqrt.f64 (log.f64 N)))
(-.f64 (exp.f64 (log1p.f64 (-.f64 (sqrt.f64 (log1p.f64 N)) (sqrt.f64 (log.f64 N))))) 1)
(-.f64 (/.f64 (pow.f64 (log1p.f64 N) 3/2) (+.f64 (log1p.f64 N) (+.f64 (log.f64 N) (sqrt.f64 (*.f64 (log1p.f64 N) (log.f64 N)))))) (/.f64 (pow.f64 (log.f64 N) 3/2) (+.f64 (log1p.f64 N) (+.f64 (log.f64 N) (sqrt.f64 (*.f64 (log1p.f64 N) (log.f64 N)))))))
(-.f64 (/.f64 (log1p.f64 N) (+.f64 (sqrt.f64 (log1p.f64 N)) (sqrt.f64 (log.f64 N)))) (/.f64 (log.f64 N) (+.f64 (sqrt.f64 (log1p.f64 N)) (sqrt.f64 (log.f64 N)))))
(*.f64 1 (-.f64 (sqrt.f64 (log1p.f64 N)) (sqrt.f64 (log.f64 N))))
(*.f64 (cbrt.f64 (pow.f64 (-.f64 (sqrt.f64 (log1p.f64 N)) (sqrt.f64 (log.f64 N))) 2)) (cbrt.f64 (-.f64 (sqrt.f64 (log1p.f64 N)) (sqrt.f64 (log.f64 N)))))
(*.f64 (sqrt.f64 (-.f64 (sqrt.f64 (log1p.f64 N)) (sqrt.f64 (log.f64 N)))) (sqrt.f64 (-.f64 (sqrt.f64 (log1p.f64 N)) (sqrt.f64 (log.f64 N)))))
(*.f64 (-.f64 (pow.f64 (log1p.f64 N) 3/2) (pow.f64 (log.f64 N) 3/2)) (/.f64 1 (+.f64 (log1p.f64 N) (+.f64 (log.f64 N) (sqrt.f64 (*.f64 (log1p.f64 N) (log.f64 N)))))))
(*.f64 (-.f64 (log1p.f64 N) (log.f64 N)) (/.f64 1 (+.f64 (sqrt.f64 (log1p.f64 N)) (sqrt.f64 (log.f64 N)))))
(*.f64 (+.f64 (pow.f64 (log1p.f64 N) 1/4) (pow.f64 (log.f64 N) 1/4)) (-.f64 (pow.f64 (log1p.f64 N) 1/4) (pow.f64 (log.f64 N) 1/4)))
(/.f64 1 (/.f64 (+.f64 (log1p.f64 N) (+.f64 (log.f64 N) (sqrt.f64 (*.f64 (log1p.f64 N) (log.f64 N))))) (-.f64 (pow.f64 (log1p.f64 N) 3/2) (pow.f64 (log.f64 N) 3/2))))
(/.f64 1 (/.f64 (+.f64 (sqrt.f64 (log1p.f64 N)) (sqrt.f64 (log.f64 N))) (-.f64 (log1p.f64 N) (log.f64 N))))
(/.f64 (pow.f64 (-.f64 (sqrt.f64 (log1p.f64 N)) (sqrt.f64 (log.f64 N))) 3) (+.f64 (pow.f64 (-.f64 (sqrt.f64 (log1p.f64 N)) (sqrt.f64 (log.f64 N))) 2) (-.f64 0 (*.f64 (-.f64 (sqrt.f64 (log1p.f64 N)) (sqrt.f64 (log.f64 N))) 0))))
(/.f64 (-.f64 (pow.f64 (log1p.f64 N) 3/2) (pow.f64 (log.f64 N) 3/2)) (+.f64 (log1p.f64 N) (+.f64 (log.f64 N) (sqrt.f64 (*.f64 (log1p.f64 N) (log.f64 N))))))
(/.f64 (-.f64 (log1p.f64 N) (log.f64 N)) (+.f64 (sqrt.f64 (log1p.f64 N)) (sqrt.f64 (log.f64 N))))
(/.f64 (neg.f64 (-.f64 (log1p.f64 N) (log.f64 N))) (neg.f64 (+.f64 (sqrt.f64 (log1p.f64 N)) (sqrt.f64 (log.f64 N)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (log1p.f64 N) 3/2) (pow.f64 (log.f64 N) 3/2))) (neg.f64 (+.f64 (log1p.f64 N) (+.f64 (log.f64 N) (sqrt.f64 (*.f64 (log1p.f64 N) (log.f64 N)))))))
(/.f64 (+.f64 (pow.f64 (log1p.f64 N) 3/2) (pow.f64 (neg.f64 (sqrt.f64 (log.f64 N))) 3)) (+.f64 (log1p.f64 N) (-.f64 (*.f64 (neg.f64 (sqrt.f64 (log.f64 N))) (neg.f64 (sqrt.f64 (log.f64 N)))) (*.f64 (sqrt.f64 (log1p.f64 N)) (neg.f64 (sqrt.f64 (log.f64 N)))))))
(/.f64 (-.f64 (log1p.f64 N) (*.f64 (neg.f64 (sqrt.f64 (log.f64 N))) (neg.f64 (sqrt.f64 (log.f64 N))))) (-.f64 (sqrt.f64 (log1p.f64 N)) (neg.f64 (sqrt.f64 (log.f64 N)))))
(/.f64 (-.f64 (pow.f64 (-.f64 (sqrt.f64 (log1p.f64 N)) (sqrt.f64 (log.f64 N))) 2) 0) (-.f64 (-.f64 (sqrt.f64 (log1p.f64 N)) (sqrt.f64 (log.f64 N))) 0))
(pow.f64 (-.f64 (sqrt.f64 (log1p.f64 N)) (sqrt.f64 (log.f64 N))) 1)
(pow.f64 (cbrt.f64 (-.f64 (sqrt.f64 (log1p.f64 N)) (sqrt.f64 (log.f64 N)))) 3)
(pow.f64 (pow.f64 (-.f64 (sqrt.f64 (log1p.f64 N)) (sqrt.f64 (log.f64 N))) 3) 1/3)
(pow.f64 (sqrt.f64 (-.f64 (sqrt.f64 (log1p.f64 N)) (sqrt.f64 (log.f64 N)))) 2)
(sqrt.f64 (pow.f64 (-.f64 (sqrt.f64 (log1p.f64 N)) (sqrt.f64 (log.f64 N))) 2))
(cbrt.f64 (pow.f64 (-.f64 (sqrt.f64 (log1p.f64 N)) (sqrt.f64 (log.f64 N))) 3))
(expm1.f64 (log1p.f64 (-.f64 (sqrt.f64 (log1p.f64 N)) (sqrt.f64 (log.f64 N)))))
(log1p.f64 (expm1.f64 (-.f64 (sqrt.f64 (log1p.f64 N)) (sqrt.f64 (log.f64 N)))))
(exp.f64 (log.f64 (-.f64 (sqrt.f64 (log1p.f64 N)) (sqrt.f64 (log.f64 N)))))
(exp.f64 (*.f64 (log.f64 (-.f64 (sqrt.f64 (log1p.f64 N)) (sqrt.f64 (log.f64 N)))) 1))
(fma.f64 1 (sqrt.f64 (log1p.f64 N)) (neg.f64 (sqrt.f64 (log.f64 N))))
(fma.f64 1 (-.f64 (sqrt.f64 (log1p.f64 N)) (sqrt.f64 (log.f64 N))) 0)
(fma.f64 (cbrt.f64 (log1p.f64 N)) (cbrt.f64 (sqrt.f64 (log1p.f64 N))) (neg.f64 (sqrt.f64 (log.f64 N))))
(fma.f64 (cbrt.f64 (pow.f64 (-.f64 (sqrt.f64 (log1p.f64 N)) (sqrt.f64 (log.f64 N))) 2)) (cbrt.f64 (-.f64 (sqrt.f64 (log1p.f64 N)) (sqrt.f64 (log.f64 N)))) 0)
(fma.f64 (pow.f64 (log1p.f64 N) 1/4) (pow.f64 (log1p.f64 N) 1/4) (neg.f64 (sqrt.f64 (log.f64 N))))
(fma.f64 (sqrt.f64 (-.f64 (sqrt.f64 (log1p.f64 N)) (sqrt.f64 (log.f64 N)))) (sqrt.f64 (-.f64 (sqrt.f64 (log1p.f64 N)) (sqrt.f64 (log.f64 N)))) 0)
(+.f64 (*.f64 1/2 (-.f64 (log1p.f64 N) (log.f64 N))) (*.f64 1/2 (-.f64 (log1p.f64 N) (log.f64 N))))
(+.f64 (log1p.f64 N) (neg.f64 (log.f64 N)))
(+.f64 0 (-.f64 (log1p.f64 N) (log.f64 N)))
(+.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 0)
(+.f64 (-.f64 (log1p.f64 N) (log.f64 N)) (fma.f64 (neg.f64 (sqrt.f64 (log.f64 N))) (sqrt.f64 (log.f64 N)) (log.f64 N)))
(+.f64 (-.f64 (log1p.f64 N) (log.f64 N)) (*.f64 (+.f64 (sqrt.f64 (log1p.f64 N)) (sqrt.f64 (log.f64 N))) 0))
(+.f64 (-.f64 (log1p.f64 N) (log.f64 N)) (*.f64 (-.f64 (sqrt.f64 (log1p.f64 N)) (sqrt.f64 (log.f64 N))) 0))
(+.f64 (-.f64 (log1p.f64 N) (log.f64 N)) (*.f64 0 (+.f64 (sqrt.f64 (log1p.f64 N)) (sqrt.f64 (log.f64 N)))))
(+.f64 (-.f64 (log1p.f64 N) (log.f64 N)) (*.f64 0 (-.f64 (sqrt.f64 (log1p.f64 N)) (sqrt.f64 (log.f64 N)))))
(+.f64 (fma.f64 1 (log1p.f64 N) (neg.f64 (*.f64 (log.f64 N) 1))) (fma.f64 (neg.f64 (log.f64 N)) 1 (*.f64 (log.f64 N) 1)))
(+.f64 (fma.f64 1 (log1p.f64 N) (neg.f64 (*.f64 (cbrt.f64 (log.f64 N)) (cbrt.f64 (pow.f64 (log.f64 N) 2))))) (fma.f64 (neg.f64 (cbrt.f64 (log.f64 N))) (cbrt.f64 (pow.f64 (log.f64 N) 2)) (*.f64 (cbrt.f64 (log.f64 N)) (cbrt.f64 (pow.f64 (log.f64 N) 2)))))
(+.f64 (fma.f64 (sqrt.f64 (log1p.f64 N)) (sqrt.f64 (log1p.f64 N)) (neg.f64 (*.f64 (log.f64 N) 1))) (fma.f64 (neg.f64 (log.f64 N)) 1 (*.f64 (log.f64 N) 1)))
(+.f64 (fma.f64 (sqrt.f64 (log1p.f64 N)) (sqrt.f64 (log1p.f64 N)) (neg.f64 (*.f64 (cbrt.f64 (log.f64 N)) (cbrt.f64 (pow.f64 (log.f64 N) 2))))) (fma.f64 (neg.f64 (cbrt.f64 (log.f64 N))) (cbrt.f64 (pow.f64 (log.f64 N) 2)) (*.f64 (cbrt.f64 (log.f64 N)) (cbrt.f64 (pow.f64 (log.f64 N) 2)))))
(+.f64 (fma.f64 (cbrt.f64 (pow.f64 (log1p.f64 N) 2)) (cbrt.f64 (log1p.f64 N)) (neg.f64 (*.f64 (log.f64 N) 1))) (fma.f64 (neg.f64 (log.f64 N)) 1 (*.f64 (log.f64 N) 1)))
(+.f64 (fma.f64 (cbrt.f64 (pow.f64 (log1p.f64 N) 2)) (cbrt.f64 (log1p.f64 N)) (neg.f64 (*.f64 (cbrt.f64 (log.f64 N)) (cbrt.f64 (pow.f64 (log.f64 N) 2))))) (fma.f64 (neg.f64 (cbrt.f64 (log.f64 N))) (cbrt.f64 (pow.f64 (log.f64 N) 2)) (*.f64 (cbrt.f64 (log.f64 N)) (cbrt.f64 (pow.f64 (log.f64 N) 2)))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 N 1) N)) 2)) (log.f64 (cbrt.f64 (/.f64 (+.f64 N 1) N))))
(+.f64 (*.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 1) 0)
(+.f64 (*.f64 (+.f64 (sqrt.f64 (log1p.f64 N)) (sqrt.f64 (log.f64 N))) (sqrt.f64 (log1p.f64 N))) (*.f64 (+.f64 (sqrt.f64 (log1p.f64 N)) (sqrt.f64 (log.f64 N))) (neg.f64 (sqrt.f64 (log.f64 N)))))
(+.f64 (*.f64 (-.f64 (sqrt.f64 (log1p.f64 N)) (sqrt.f64 (log.f64 N))) (sqrt.f64 (log1p.f64 N))) (*.f64 (-.f64 (sqrt.f64 (log1p.f64 N)) (sqrt.f64 (log.f64 N))) (sqrt.f64 (log.f64 N))))
(+.f64 (*.f64 (-.f64 (sqrt.f64 (log1p.f64 N)) (sqrt.f64 (log.f64 N))) (sqrt.f64 (log.f64 N))) (*.f64 (-.f64 (sqrt.f64 (log1p.f64 N)) (sqrt.f64 (log.f64 N))) (sqrt.f64 (log1p.f64 N))))
(+.f64 (*.f64 (sqrt.f64 (log1p.f64 N)) (+.f64 (sqrt.f64 (log1p.f64 N)) (sqrt.f64 (log.f64 N)))) (*.f64 (neg.f64 (sqrt.f64 (log.f64 N))) (+.f64 (sqrt.f64 (log1p.f64 N)) (sqrt.f64 (log.f64 N)))))
(+.f64 (*.f64 (sqrt.f64 (log1p.f64 N)) (-.f64 (sqrt.f64 (log1p.f64 N)) (sqrt.f64 (log.f64 N)))) (*.f64 (sqrt.f64 (log.f64 N)) (-.f64 (sqrt.f64 (log1p.f64 N)) (sqrt.f64 (log.f64 N)))))
(+.f64 (*.f64 (sqrt.f64 (log.f64 N)) (-.f64 (sqrt.f64 (log1p.f64 N)) (sqrt.f64 (log.f64 N)))) (*.f64 (sqrt.f64 (log1p.f64 N)) (-.f64 (sqrt.f64 (log1p.f64 N)) (sqrt.f64 (log.f64 N)))))
(-.f64 (log1p.f64 N) (log.f64 N))
(-.f64 0 (log.f64 (/.f64 N (+.f64 N 1))))
(-.f64 (exp.f64 (log1p.f64 (-.f64 (log1p.f64 N) (log.f64 N)))) 1)
(-.f64 (log.f64 (neg.f64 (+.f64 N 1))) (log.f64 (neg.f64 N)))
(/.f64 (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 2) (-.f64 (log1p.f64 N) (log.f64 N)))
(/.f64 (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 3) (+.f64 (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 2) (-.f64 0 (*.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 0))))
(/.f64 (*.f64 (+.f64 (pow.f64 (log1p.f64 N) 3/2) (pow.f64 (log.f64 N) 3/2)) (-.f64 (log1p.f64 N) (log.f64 N))) (+.f64 (pow.f64 (log1p.f64 N) 3/2) (pow.f64 (log.f64 N) 3/2)))
(/.f64 (*.f64 (-.f64 (log1p.f64 N) (log.f64 N)) (+.f64 (pow.f64 (log1p.f64 N) 3/2) (pow.f64 (log.f64 N) 3/2))) (*.f64 (+.f64 (sqrt.f64 (log1p.f64 N)) (sqrt.f64 (log.f64 N))) (+.f64 (log1p.f64 N) (-.f64 (log.f64 N) (sqrt.f64 (*.f64 (log1p.f64 N) (log.f64 N)))))))
(/.f64 (*.f64 (-.f64 (pow.f64 (log1p.f64 N) 3/2) (pow.f64 (log.f64 N) 3/2)) (+.f64 (pow.f64 (log1p.f64 N) 3/2) (pow.f64 (log.f64 N) 3/2))) (*.f64 (+.f64 (log1p.f64 N) (+.f64 (log.f64 N) (sqrt.f64 (*.f64 (log1p.f64 N) (log.f64 N))))) (+.f64 (log1p.f64 N) (-.f64 (log.f64 N) (sqrt.f64 (*.f64 (log1p.f64 N) (log.f64 N)))))))
(/.f64 (*.f64 (-.f64 (pow.f64 (log1p.f64 N) 3/2) (pow.f64 (log.f64 N) 3/2)) (-.f64 (log1p.f64 N) (log.f64 N))) (-.f64 (pow.f64 (log1p.f64 N) 3/2) (pow.f64 (log.f64 N) 3/2)))
(/.f64 (*.f64 (+.f64 (pow.f64 (log1p.f64 N) 3/2) (pow.f64 (log.f64 N) 3/2)) (-.f64 (pow.f64 (log1p.f64 N) 3/2) (pow.f64 (log.f64 N) 3/2))) (*.f64 (+.f64 (log1p.f64 N) (-.f64 (log.f64 N) (sqrt.f64 (*.f64 (log1p.f64 N) (log.f64 N))))) (+.f64 (log1p.f64 N) (+.f64 (log.f64 N) (sqrt.f64 (*.f64 (log1p.f64 N) (log.f64 N)))))))
(/.f64 (*.f64 (-.f64 (log1p.f64 N) (log.f64 N)) (-.f64 (pow.f64 (log1p.f64 N) 3/2) (pow.f64 (log.f64 N) 3/2))) (*.f64 (-.f64 (sqrt.f64 (log1p.f64 N)) (sqrt.f64 (log.f64 N))) (+.f64 (log1p.f64 N) (+.f64 (log.f64 N) (sqrt.f64 (*.f64 (log1p.f64 N) (log.f64 N)))))))
(/.f64 (-.f64 (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 2) 0) (-.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 0))
(/.f64 (-.f64 (pow.f64 (log1p.f64 N) 3) (pow.f64 (log.f64 N) 3)) (+.f64 (pow.f64 (log1p.f64 N) 2) (+.f64 (pow.f64 (log.f64 N) 2) (*.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)))
(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 (-.f64 (log1p.f64 N) (log.f64 N)) 1)
(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))
(cbrt.f64 (*.f64 (pow.f64 (-.f64 (sqrt.f64 (log1p.f64 N)) (sqrt.f64 (log.f64 N))) 3) (pow.f64 (+.f64 (sqrt.f64 (log1p.f64 N)) (sqrt.f64 (log.f64 N))) 3)))
(cbrt.f64 (*.f64 (pow.f64 (+.f64 (sqrt.f64 (log1p.f64 N)) (sqrt.f64 (log.f64 N))) 3) (pow.f64 (-.f64 (sqrt.f64 (log1p.f64 N)) (sqrt.f64 (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 (-.f64 (log1p.f64 N) (log.f64 N))) 1))
(fma.f64 1 (log1p.f64 N) (neg.f64 (log.f64 N)))
(fma.f64 1 (-.f64 (log1p.f64 N) (log.f64 N)) 0)
(fma.f64 (sqrt.f64 (log1p.f64 N)) (sqrt.f64 (log1p.f64 N)) (neg.f64 (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))) 0)
(fma.f64 (+.f64 (sqrt.f64 (log1p.f64 N)) (sqrt.f64 (log.f64 N))) (-.f64 (sqrt.f64 (log1p.f64 N)) (sqrt.f64 (log.f64 N))) 0)
(fma.f64 (cbrt.f64 (pow.f64 (log1p.f64 N) 2)) (cbrt.f64 (log1p.f64 N)) (neg.f64 (log.f64 N)))
(fma.f64 (cbrt.f64 (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 2)) (cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))) 0)
(fma.f64 (sqrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))) (sqrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))) 0)
Outputs
(/.f64 1 N)
(/.f64 1 N)
(/.f64 1 N)
(/.f64 1 N)
(/.f64 1 N)
(/.f64 1 N)
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(neg.f64 (log.f64 (/.f64 N (+.f64 N 1))))
(neg.f64 (-.f64 (log.f64 N) (log1p.f64 N)))
(sqrt.f64 (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 2))
(fabs.f64 (-.f64 (log1p.f64 N) (log.f64 N)))
(log.f64 (/.f64 (+.f64 N 1) N))
(-.f64 (log1p.f64 N) (log.f64 N))
(log.f64 (+.f64 1 (-.f64 (/.f64 (+.f64 N 1) N) 1)))
(log1p.f64 (+.f64 (/.f64 (+.f64 1 N) N) -1))
(cbrt.f64 (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 3))
(-.f64 (log1p.f64 N) (log.f64 N))
(cbrt.f64 (*.f64 (pow.f64 (-.f64 (sqrt.f64 (log1p.f64 N)) (sqrt.f64 (log.f64 N))) 3) (pow.f64 (+.f64 (sqrt.f64 (log1p.f64 N)) (sqrt.f64 (log.f64 N))) 3)))
(cbrt.f64 (*.f64 (pow.f64 (-.f64 (sqrt.f64 (log1p.f64 N)) (sqrt.f64 (log.f64 N))) 3) (pow.f64 (+.f64 (sqrt.f64 (log.f64 N)) (sqrt.f64 (log1p.f64 N))) 3)))
(cbrt.f64 (*.f64 (pow.f64 (+.f64 (sqrt.f64 (log1p.f64 N)) (sqrt.f64 (log.f64 N))) 3) (pow.f64 (-.f64 (sqrt.f64 (log1p.f64 N)) (sqrt.f64 (log.f64 N))) 3)))
(cbrt.f64 (*.f64 (pow.f64 (-.f64 (sqrt.f64 (log1p.f64 N)) (sqrt.f64 (log.f64 N))) 3) (pow.f64 (+.f64 (sqrt.f64 (log.f64 N)) (sqrt.f64 (log1p.f64 N))) 3)))
(expm1.f64 (log1p.f64 (-.f64 (log1p.f64 N) (log.f64 N))))
(log1p.f64 (-.f64 (/.f64 (+.f64 N 1) N) 1))
(log1p.f64 (+.f64 (/.f64 (+.f64 1 N) N) -1))
(exp.f64 (log.f64 (-.f64 (log1p.f64 N) (log.f64 N))))
(-.f64 (log1p.f64 N) (log.f64 N))
(exp.f64 (*.f64 (log.f64 (-.f64 (log1p.f64 N) (log.f64 N))) 1))
(-.f64 (log1p.f64 N) (log.f64 N))
(fma.f64 1 (log1p.f64 N) (neg.f64 (log.f64 N)))
(-.f64 (log1p.f64 N) (log.f64 N))
(fma.f64 1 (-.f64 (log1p.f64 N) (log.f64 N)) 0)
(-.f64 (log1p.f64 N) (log.f64 N))
(fma.f64 (sqrt.f64 (log1p.f64 N)) (sqrt.f64 (log1p.f64 N)) (neg.f64 (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))) 0)
(*.f64 (-.f64 (sqrt.f64 (log1p.f64 N)) (sqrt.f64 (log.f64 N))) (+.f64 (sqrt.f64 (log.f64 N)) (sqrt.f64 (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))) 0)
(*.f64 (+.f64 (sqrt.f64 (log.f64 N)) (sqrt.f64 (log1p.f64 N))) (-.f64 (sqrt.f64 (log1p.f64 N)) (sqrt.f64 (log.f64 N))))
(fma.f64 (cbrt.f64 (pow.f64 (log1p.f64 N) 2)) (cbrt.f64 (log1p.f64 N)) (neg.f64 (log.f64 N)))
(fma.f64 (cbrt.f64 (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 2)) (cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))) 0)
(*.f64 (cbrt.f64 (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 2)) (cbrt.f64 (-.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))) 0)
(-.f64 (log1p.f64 N) (log.f64 N))

eval751.0ms (6.9%)

Compiler

Compiled 27819 to 17773 computations (36.1% saved)

prune211.0ms (1.9%)

Pruning

36 alts after pruning (28 fresh and 8 done)

PrunedKeptTotal
New990111001
Fresh91726
Picked055
Done134
Total1000361036
Accuracy
99.7%
Counts
1036 → 36
Alt Table
Click to see full alt table
StatusAccuracyProgram
86.8%
(/.f64 (/.f64 3 N) 3)
97.1%
(/.f64 (exp.f64 (/.f64 5/24 (pow.f64 N 2))) (*.f64 N (exp.f64 (/.f64 1/2 N))))
86.7%
(/.f64 3 (*.f64 N 3))
87.0%
(/.f64 1 N)
94.6%
(+.f64 (/.f64 1 N) (/.f64 (neg.f64 (/.f64 1/2 N)) N))
97.0%
(+.f64 (/.f64 1 N) (-.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 1/2 (pow.f64 N 2))))
98.2%
(+.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)))))
97.0%
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (-.f64 (/.f64 1 N) (/.f64 1/2 (pow.f64 N 2))))
21.5%
(+.f64 (*.f64 1/3 (-.f64 (log1p.f64 N) (log.f64 N))) (*.f64 2 (log.f64 (cbrt.f64 (/.f64 (+.f64 N 1) N)))))
97.2%
(*.f64 (/.f64 (pow.f64 (exp.f64 5/24) (pow.f64 N -2)) N) (exp.f64 (/.f64 -1/2 N)))
20.7%
(*.f64 (+.f64 (sqrt.f64 (log1p.f64 N)) (sqrt.f64 (log.f64 N))) (/.f64 (-.f64 (pow.f64 (log1p.f64 N) 3/2) (pow.f64 (log.f64 N) 3/2)) (+.f64 (log1p.f64 N) (+.f64 (log.f64 N) (sqrt.f64 (*.f64 (log1p.f64 N) (log.f64 N)))))))
20.7%
(*.f64 (+.f64 (sqrt.f64 (log1p.f64 N)) (sqrt.f64 (log.f64 N))) (/.f64 1 (/.f64 (+.f64 (log1p.f64 N) (+.f64 (log.f64 N) (sqrt.f64 (*.f64 (log1p.f64 N) (log.f64 N))))) (-.f64 (pow.f64 (log1p.f64 N) 3/2) (pow.f64 (log.f64 N) 3/2)))))
20.1%
(*.f64 (+.f64 (sqrt.f64 (log1p.f64 N)) (sqrt.f64 (log.f64 N))) (log.f64 (exp.f64 (-.f64 (sqrt.f64 (log1p.f64 N)) (sqrt.f64 (log.f64 N))))))
20.1%
(*.f64 (+.f64 (sqrt.f64 (log1p.f64 N)) (cbrt.f64 (pow.f64 (log.f64 N) 3/2))) (log.f64 (exp.f64 (-.f64 (sqrt.f64 (log1p.f64 N)) (sqrt.f64 (log.f64 N))))))
85.5%
(*.f64 3 (pow.f64 (cbrt.f64 (/.f64 1/3 N)) 3))
86.6%
(*.f64 3 (/.f64 1 (*.f64 N 3)))
86.6%
(*.f64 3 (/.f64 1/3 N))
94.1%
(*.f64 3 (-.f64 (/.f64 1/3 N) (/.f64 1/6 (pow.f64 N 2))))
97.7%
(*.f64 3 (-.f64 (+.f64 (/.f64 1/3 N) (/.f64 1/9 (pow.f64 N 3))) (+.f64 (/.f64 1/6 (pow.f64 N 2)) (/.f64 1/12 (pow.f64 N 4)))))
20.8%
(*.f64 3 (-.f64 (log.f64 (cbrt.f64 (+.f64 N 1))) (log.f64 (cbrt.f64 N))))
96.5%
(*.f64 3 (+.f64 (/.f64 1/9 (pow.f64 N 3)) (-.f64 (/.f64 1/3 N) (/.f64 1/6 (pow.f64 N 2)))))
21.5%
(*.f64 3 (+.f64 (log.f64 (pow.f64 (/.f64 (+.f64 N 1) N) 1/6)) (log.f64 (pow.f64 (/.f64 (+.f64 N 1) N) 1/6))))
86.7%
(*.f64 3 (*.f64 1/3 (/.f64 1 N)))
22.3%
(*.f64 3 (log.f64 (pow.f64 (/.f64 (+.f64 N 1) N) 1/3)))
21.9%
(*.f64 3 (log.f64 (cbrt.f64 (/.f64 (+.f64 N 1) N))))
22.1%
(*.f64 2 (+.f64 (log.f64 (pow.f64 (/.f64 (+.f64 N 1) N) 1/4)) (log.f64 (pow.f64 (/.f64 (+.f64 N 1) N) 1/4))))
21.9%
(*.f64 2 (+.f64 (log.f64 (cbrt.f64 (/.f64 (+.f64 N 1) N))) (log.f64 (cbrt.f64 (sqrt.f64 (/.f64 (+.f64 N 1) N))))))
22.5%
(*.f64 2 (log.f64 (sqrt.f64 (/.f64 (+.f64 N 1) N))))
23.9%
(neg.f64 (log.f64 (/.f64 N (+.f64 N 1))))
23.3%
(log.f64 (/.f64 (+.f64 N 1) N))
92.1%
(exp.f64 (-.f64 (-.f64 (/.f64 5/24 (pow.f64 N 2)) (log.f64 N)) (/.f64 1/2 N)))
93.1%
(exp.f64 (-.f64 (-.f64 (/.f64 5/24 (pow.f64 N 2)) (log.f64 N)) (+.f64 (/.f64 1/2 N) (/.f64 1/8 (pow.f64 N 3)))))
89.9%
(exp.f64 (-.f64 (neg.f64 (log.f64 N)) (/.f64 1/2 N)))
93.2%
(exp.f64 (+.f64 (neg.f64 (log.f64 N)) (-.f64 (/.f64 5/24 (pow.f64 N 2)) (+.f64 (/.f64 1/2 N) (/.f64 1/8 (pow.f64 N 3))))))
89.0%
(exp.f64 (*.f64 (-.f64 (*.f64 3 (neg.f64 (log.f64 N))) (/.f64 3/2 N)) 1/3))
23.3%
(exp.f64 (*.f64 (*.f64 3 (log.f64 (log.f64 (/.f64 (+.f64 N 1) N)))) 1/3))
Compiler

Compiled 934 to 713 computations (23.7% saved)

localize451.0ms (4.1%)

Localize:

Found 13 expressions with local error:

NewAccuracyProgram
99.6%
(+.f64 (*.f64 1/3 (-.f64 (log1p.f64 N) (log.f64 N))) (*.f64 2 (log.f64 (cbrt.f64 (/.f64 (+.f64 N 1) N)))))
99.5%
(*.f64 1/3 (-.f64 (log1p.f64 N) (log.f64 N)))
22.3%
(log.f64 (cbrt.f64 (/.f64 (+.f64 N 1) N)))
20.6%
(-.f64 (log1p.f64 N) (log.f64 N))
99.9%
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (-.f64 (/.f64 1 N) (/.f64 1/2 (pow.f64 N 2))))
99.9%
(-.f64 (/.f64 1 N) (/.f64 1/2 (pow.f64 N 2)))
99.5%
(/.f64 1/2 (pow.f64 N 2))
99.4%
(/.f64 1/3 (pow.f64 N 3))
100.0%
(/.f64 N (+.f64 N 1))
23.9%
(log.f64 (/.f64 N (+.f64 N 1)))
99.6%
(/.f64 3 (*.f64 N 3))
99.9%
(/.f64 (pow.f64 (exp.f64 5/24) (pow.f64 N -2)) N)
99.9%
(*.f64 (/.f64 (pow.f64 (exp.f64 5/24) (pow.f64 N -2)) N) (exp.f64 (/.f64 -1/2 N)))
Compiler

Compiled 194 to 134 computations (30.9% saved)

series24.0ms (0.2%)

Counts
9 → 104
Calls

27 calls:

TimeVariablePointExpression
4.0ms
N
@0
(log.f64 (/.f64 N (+.f64 N 1)))
2.0ms
N
@-inf
(+.f64 (*.f64 1/3 (-.f64 (log1p.f64 N) (log.f64 N))) (*.f64 2 (log.f64 (cbrt.f64 (/.f64 (+.f64 N 1) N)))))
1.0ms
N
@0
(*.f64 (/.f64 (pow.f64 (exp.f64 5/24) (pow.f64 N -2)) N) (exp.f64 (/.f64 -1/2 N)))
1.0ms
N
@inf
(/.f64 (pow.f64 (exp.f64 5/24) (pow.f64 N -2)) N)
1.0ms
N
@0
(+.f64 (*.f64 1/3 (-.f64 (log1p.f64 N) (log.f64 N))) (*.f64 2 (log.f64 (cbrt.f64 (/.f64 (+.f64 N 1) N)))))

rewrite172.0ms (1.6%)

Algorithm
batch-egg-rewrite
Rules
311×log1p-expm1-u
311×expm1-log1p-u
310×fma-define
297×add-exp-log
293×pow1
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
042304
1730256
Stop Event
node limit
Counts
9 → 326
Calls
Call 1
Inputs
(*.f64 (/.f64 (pow.f64 (exp.f64 5/24) (pow.f64 N -2)) N) (exp.f64 (/.f64 -1/2 N)))
(/.f64 (pow.f64 (exp.f64 5/24) (pow.f64 N -2)) N)
(/.f64 3 (*.f64 N 3))
(log.f64 (/.f64 N (+.f64 N 1)))
(/.f64 N (+.f64 N 1))
(-.f64 (/.f64 1 N) (/.f64 1/2 (pow.f64 N 2)))
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (-.f64 (/.f64 1 N) (/.f64 1/2 (pow.f64 N 2))))
(*.f64 1/3 (-.f64 (log1p.f64 N) (log.f64 N)))
(+.f64 (*.f64 1/3 (-.f64 (log1p.f64 N) (log.f64 N))) (*.f64 2 (log.f64 (cbrt.f64 (/.f64 (+.f64 N 1) N)))))
Outputs
(+.f64 (/.f64 (exp.f64 (+.f64 (*.f64 (pow.f64 N -2) 5/24) (/.f64 -1/2 N))) N) 0)
(-.f64 (exp.f64 (log1p.f64 (/.f64 (exp.f64 (+.f64 (*.f64 (pow.f64 N -2) 5/24) (/.f64 -1/2 N))) N))) 1)
(/.f64 (exp.f64 (+.f64 (*.f64 (pow.f64 N -2) 5/24) (/.f64 -1/2 N))) N)
(/.f64 (neg.f64 (exp.f64 (+.f64 (*.f64 (pow.f64 N -2) 5/24) (/.f64 -1/2 N)))) (neg.f64 N))
(/.f64 (+.f64 (pow.f64 (/.f64 (exp.f64 (+.f64 (*.f64 (pow.f64 N -2) 5/24) (/.f64 -1/2 N))) N) 3) 0) (+.f64 (pow.f64 (/.f64 (exp.f64 (+.f64 (*.f64 (pow.f64 N -2) 5/24) (/.f64 -1/2 N))) N) 2) (-.f64 0 (*.f64 (/.f64 (exp.f64 (+.f64 (*.f64 (pow.f64 N -2) 5/24) (/.f64 -1/2 N))) N) 0))))
(pow.f64 (/.f64 (exp.f64 (+.f64 (*.f64 (pow.f64 N -2) 5/24) (/.f64 -1/2 N))) N) 1)
(pow.f64 (cbrt.f64 (/.f64 (exp.f64 (+.f64 (*.f64 (pow.f64 N -2) 5/24) (/.f64 -1/2 N))) N)) 3)
(pow.f64 (pow.f64 (/.f64 (exp.f64 (+.f64 (*.f64 (pow.f64 N -2) 5/24) (/.f64 -1/2 N))) N) 3) 1/3)
(pow.f64 (sqrt.f64 (/.f64 (exp.f64 (+.f64 (*.f64 (pow.f64 N -2) 5/24) (/.f64 -1/2 N))) N)) 2)
(sqrt.f64 (pow.f64 (/.f64 (exp.f64 (+.f64 (*.f64 (pow.f64 N -2) 5/24) (/.f64 -1/2 N))) N) 2))
(log.f64 (exp.f64 (/.f64 (exp.f64 (+.f64 (*.f64 (pow.f64 N -2) 5/24) (/.f64 -1/2 N))) N)))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (exp.f64 (+.f64 (*.f64 (pow.f64 N -2) 5/24) (/.f64 -1/2 N))) N))))
(cbrt.f64 (pow.f64 (/.f64 (exp.f64 (+.f64 (*.f64 (pow.f64 N -2) 5/24) (/.f64 -1/2 N))) N) 3))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 (pow.f64 (exp.f64 5/24) (pow.f64 N -2)) N) 3) (pow.f64 (exp.f64 (/.f64 -1/2 N)) 3)))
(cbrt.f64 (*.f64 (pow.f64 (exp.f64 (/.f64 -1/2 N)) 3) (pow.f64 (/.f64 (pow.f64 (exp.f64 5/24) (pow.f64 N -2)) N) 3)))
(expm1.f64 (log1p.f64 (/.f64 (exp.f64 (+.f64 (*.f64 (pow.f64 N -2) 5/24) (/.f64 -1/2 N))) N)))
(log1p.f64 (expm1.f64 (/.f64 (exp.f64 (+.f64 (*.f64 (pow.f64 N -2) 5/24) (/.f64 -1/2 N))) N)))
(exp.f64 (+.f64 (/.f64 -1/2 N) (-.f64 (*.f64 (pow.f64 N -2) 5/24) (log.f64 N))))
(exp.f64 (*.f64 (+.f64 (/.f64 -1/2 N) (-.f64 (*.f64 (pow.f64 N -2) 5/24) (log.f64 N))) 1))
(fma.f64 (/.f64 (pow.f64 (exp.f64 5/24) (pow.f64 N -2)) N) (exp.f64 (/.f64 -1/2 N)) 0)
(fma.f64 (exp.f64 (/.f64 -1/2 N)) (/.f64 (pow.f64 (exp.f64 5/24) (pow.f64 N -2)) N) 0)
(fma.f64 1 (/.f64 (exp.f64 (+.f64 (*.f64 (pow.f64 N -2) 5/24) (/.f64 -1/2 N))) N) 0)
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 (exp.f64 (+.f64 (*.f64 (pow.f64 N -2) 5/24) (/.f64 -1/2 N))) N)) 2) (cbrt.f64 (/.f64 (exp.f64 (+.f64 (*.f64 (pow.f64 N -2) 5/24) (/.f64 -1/2 N))) N)) 0)
(fma.f64 (sqrt.f64 (/.f64 (exp.f64 (+.f64 (*.f64 (pow.f64 N -2) 5/24) (/.f64 -1/2 N))) N)) (sqrt.f64 (/.f64 (exp.f64 (+.f64 (*.f64 (pow.f64 N -2) 5/24) (/.f64 -1/2 N))) N)) 0)
(+.f64 (/.f64 (pow.f64 (exp.f64 5/24) (pow.f64 N -2)) N) 0)
(-.f64 (exp.f64 (log1p.f64 (/.f64 (pow.f64 (exp.f64 5/24) (pow.f64 N -2)) N))) 1)
(*.f64 (pow.f64 (exp.f64 5/24) (pow.f64 N -2)) (/.f64 1 N))
(*.f64 1 (/.f64 (pow.f64 (exp.f64 5/24) (pow.f64 N -2)) N))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (pow.f64 (exp.f64 5/24) (pow.f64 N -2)) N)) 2) (cbrt.f64 (/.f64 (pow.f64 (exp.f64 5/24) (pow.f64 N -2)) N)))
(*.f64 (pow.f64 N -1/2) (/.f64 (pow.f64 (exp.f64 5/24) (pow.f64 N -2)) (sqrt.f64 N)))
(*.f64 (sqrt.f64 (/.f64 (pow.f64 (exp.f64 5/24) (pow.f64 N -2)) N)) (sqrt.f64 (/.f64 (pow.f64 (exp.f64 5/24) (pow.f64 N -2)) N)))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 N) 2)) (/.f64 (pow.f64 (exp.f64 5/24) (pow.f64 N -2)) (cbrt.f64 N)))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (exp.f64 5/12) (pow.f64 N -2))) 1) (/.f64 (cbrt.f64 (pow.f64 (exp.f64 5/24) (pow.f64 N -2))) N))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (exp.f64 5/12) (pow.f64 N -2))) (pow.f64 (cbrt.f64 N) 2)) (cbrt.f64 (/.f64 (pow.f64 (exp.f64 5/24) (pow.f64 N -2)) N)))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (exp.f64 5/12) (pow.f64 N -2))) (sqrt.f64 N)) (/.f64 (cbrt.f64 (pow.f64 (exp.f64 5/24) (pow.f64 N -2))) (sqrt.f64 N)))
(*.f64 (/.f64 (sqrt.f64 (pow.f64 (exp.f64 5/24) (pow.f64 N -2))) 1) (/.f64 (sqrt.f64 (pow.f64 (exp.f64 5/24) (pow.f64 N -2))) N))
(*.f64 (/.f64 (sqrt.f64 (pow.f64 (exp.f64 5/24) (pow.f64 N -2))) (pow.f64 (cbrt.f64 N) 2)) (/.f64 (sqrt.f64 (pow.f64 (exp.f64 5/24) (pow.f64 N -2))) (cbrt.f64 N)))
(pow.f64 (/.f64 (pow.f64 (exp.f64 5/24) (pow.f64 N -2)) N) 1)
(pow.f64 (cbrt.f64 (/.f64 (pow.f64 (exp.f64 5/24) (pow.f64 N -2)) N)) 3)
(pow.f64 (pow.f64 (/.f64 (pow.f64 (exp.f64 5/24) (pow.f64 N -2)) N) 3) 1/3)
(pow.f64 (sqrt.f64 (/.f64 (pow.f64 (exp.f64 5/24) (pow.f64 N -2)) N)) 2)
(pow.f64 (/.f64 N (pow.f64 (exp.f64 5/24) (pow.f64 N -2))) -1)
(sqrt.f64 (/.f64 (pow.f64 (exp.f64 5/12) (pow.f64 N -2)) (pow.f64 N 2)))
(log.f64 (exp.f64 (/.f64 (pow.f64 (exp.f64 5/24) (pow.f64 N -2)) N)))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (pow.f64 (exp.f64 5/24) (pow.f64 N -2)) N))))
(cbrt.f64 (pow.f64 (/.f64 (pow.f64 (exp.f64 5/24) (pow.f64 N -2)) N) 3))
(cbrt.f64 (*.f64 (pow.f64 (pow.f64 (exp.f64 5/24) (pow.f64 N -2)) 3) (pow.f64 N -3)))
(cbrt.f64 (/.f64 (pow.f64 (pow.f64 (exp.f64 5/24) (pow.f64 N -2)) 3) (pow.f64 N 3)))
(expm1.f64 (log1p.f64 (/.f64 (pow.f64 (exp.f64 5/24) (pow.f64 N -2)) N)))
(log1p.f64 (expm1.f64 (/.f64 (pow.f64 (exp.f64 5/24) (pow.f64 N -2)) N)))
(exp.f64 (-.f64 (*.f64 (pow.f64 N -2) 5/24) (log.f64 N)))
(exp.f64 (*.f64 (-.f64 (*.f64 (pow.f64 N -2) 5/24) (log.f64 N)) 1))
(fma.f64 (pow.f64 (exp.f64 5/24) (pow.f64 N -2)) (/.f64 1 N) 0)
(fma.f64 1 (/.f64 (pow.f64 (exp.f64 5/24) (pow.f64 N -2)) N) 0)
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(/.f64 (+.f64 (pow.f64 (*.f64 2 (*.f64 1/3 (-.f64 (log1p.f64 N) (log.f64 N)))) 3) (*.f64 (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 3) 1/27)) (+.f64 (pow.f64 (*.f64 2 (*.f64 1/3 (-.f64 (log1p.f64 N) (log.f64 N)))) 2) (-.f64 (pow.f64 (*.f64 1/3 (-.f64 (log1p.f64 N) (log.f64 N))) 2) (*.f64 (*.f64 2 (*.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) 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 (-.f64 (log1p.f64 N) (log.f64 N)) 3) 0) (+.f64 (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 2) (-.f64 0 (*.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 0))))
(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)
(neg.f64 (-.f64 (log.f64 N) (log1p.f64 N)))
(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))))
(exp.f64 (*.f64 (log.f64 (-.f64 (log1p.f64 N) (log.f64 N))) 1))
(fma.f64 1 (log1p.f64 N) (neg.f64 (log.f64 N)))
(fma.f64 1 (-.f64 (log1p.f64 N) (log.f64 N)) 0)
(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 2 (*.f64 1/3 (-.f64 (log1p.f64 N) (log.f64 N))) (*.f64 1/3 (-.f64 (log1p.f64 N) (log.f64 N))))
(fma.f64 1/3 (-.f64 (log1p.f64 N) (log.f64 N)) (*.f64 2 (*.f64 1/3 (-.f64 (log1p.f64 N) (log.f64 N)))))
(fma.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 1/3 (*.f64 2 (*.f64 1/3 (-.f64 (log1p.f64 N) (log.f64 N)))))
(fma.f64 (*.f64 1/3 (-.f64 (log1p.f64 N) (log.f64 N))) 2 (*.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 (log1p.f64 N) (log.f64 N))) 2) (cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))) 0)
(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 (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 (sqrt.f64 (log1p.f64 N)) (sqrt.f64 (log1p.f64 N)) (neg.f64 (log.f64 N)))
(fma.f64 (sqrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))) (sqrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))) 0)
(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))))
(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)))))

simplify256.0ms (2.4%)

Algorithm
egg-herbie
Rules
1131×add0
910×distribute-rgt-in
750×distribute-lft-in
410×times-frac
398×sqr-pow
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
096219510
1341818553
Stop Event
node limit
Counts
430 → 544
Calls
Call 1
Inputs
(/.f64 (*.f64 (exp.f64 (/.f64 -1/2 N)) (exp.f64 (/.f64 5/24 (pow.f64 N 2)))) N)
(/.f64 (*.f64 (exp.f64 (/.f64 -1/2 N)) (exp.f64 (/.f64 5/24 (pow.f64 N 2)))) N)
(/.f64 (*.f64 (exp.f64 (/.f64 -1/2 N)) (exp.f64 (/.f64 5/24 (pow.f64 N 2)))) N)
(/.f64 (*.f64 (exp.f64 (/.f64 -1/2 N)) (exp.f64 (/.f64 5/24 (pow.f64 N 2)))) N)
(/.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 1/8 (/.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 1/8 (/.f64 1 (pow.f64 N 4))) (*.f64 1/2 (/.f64 1 (pow.f64 N 2)))))
(/.f64 (exp.f64 (/.f64 5/24 (pow.f64 N 2))) N)
(/.f64 (exp.f64 (/.f64 5/24 (pow.f64 N 2))) N)
(/.f64 (exp.f64 (/.f64 5/24 (pow.f64 N 2))) N)
(/.f64 (exp.f64 (/.f64 5/24 (pow.f64 N 2))) N)
(/.f64 1 N)
(+.f64 (/.f64 1 N) (*.f64 5/24 (/.f64 1 (pow.f64 N 3))))
(+.f64 (*.f64 25/1152 (/.f64 1 (pow.f64 N 5))) (+.f64 (*.f64 5/24 (/.f64 1 (pow.f64 N 3))) (/.f64 1 N)))
(+.f64 (*.f64 125/82944 (/.f64 1 (pow.f64 N 7))) (+.f64 (*.f64 25/1152 (/.f64 1 (pow.f64 N 5))) (+.f64 (*.f64 5/24 (/.f64 1 (pow.f64 N 3))) (/.f64 1 N))))
(/.f64 1 N)
(+.f64 (/.f64 1 N) (*.f64 5/24 (/.f64 1 (pow.f64 N 3))))
(+.f64 (*.f64 25/1152 (/.f64 1 (pow.f64 N 5))) (+.f64 (*.f64 5/24 (/.f64 1 (pow.f64 N 3))) (/.f64 1 N)))
(+.f64 (*.f64 125/82944 (/.f64 1 (pow.f64 N 7))) (+.f64 (*.f64 25/1152 (/.f64 1 (pow.f64 N 5))) (+.f64 (*.f64 5/24 (/.f64 1 (pow.f64 N 3))) (/.f64 1 N))))
(/.f64 1 N)
(/.f64 1 N)
(/.f64 1 N)
(/.f64 1 N)
(/.f64 1 N)
(/.f64 1 N)
(/.f64 1 N)
(/.f64 1 N)
(/.f64 1 N)
(/.f64 1 N)
(/.f64 1 N)
(/.f64 1 N)
(log.f64 N)
(+.f64 (log.f64 N) (*.f64 -1 N))
(+.f64 (log.f64 N) (+.f64 (*.f64 -1 N) (*.f64 1/2 (pow.f64 N 2))))
(+.f64 (log.f64 N) (+.f64 (*.f64 -1 N) (+.f64 (*.f64 -1/3 (pow.f64 N 3)) (*.f64 1/2 (pow.f64 N 2)))))
(/.f64 -1 N)
(-.f64 (*.f64 1/2 (/.f64 1 (pow.f64 N 2))) (/.f64 1 N))
(-.f64 (*.f64 1/2 (/.f64 1 (pow.f64 N 2))) (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 N 3))) (/.f64 1 N)))
(-.f64 (+.f64 (*.f64 1/4 (/.f64 1 (pow.f64 N 4))) (*.f64 1/2 (/.f64 1 (pow.f64 N 2)))) (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 N 3))) (/.f64 1 N)))
(/.f64 -1 N)
(-.f64 (*.f64 1/2 (/.f64 1 (pow.f64 N 2))) (/.f64 1 N))
(-.f64 (*.f64 1/2 (/.f64 1 (pow.f64 N 2))) (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 N 3))) (/.f64 1 N)))
(-.f64 (+.f64 (*.f64 1/4 (/.f64 1 (pow.f64 N 4))) (*.f64 1/2 (/.f64 1 (pow.f64 N 2)))) (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 N 3))) (/.f64 1 N)))
N
(+.f64 N (*.f64 -1 (pow.f64 N 2)))
(+.f64 N (+.f64 (*.f64 -1 (pow.f64 N 2)) (pow.f64 N 3)))
(+.f64 N (+.f64 (*.f64 -1 (pow.f64 N 2)) (+.f64 (*.f64 -1 (pow.f64 N 4)) (pow.f64 N 3))))
1
(-.f64 1 (/.f64 1 N))
(-.f64 (+.f64 1 (/.f64 1 (pow.f64 N 2))) (/.f64 1 N))
(-.f64 (+.f64 1 (/.f64 1 (pow.f64 N 2))) (+.f64 (/.f64 1 N) (/.f64 1 (pow.f64 N 3))))
1
(-.f64 1 (/.f64 1 N))
(-.f64 (+.f64 1 (/.f64 1 (pow.f64 N 2))) (/.f64 1 N))
(-.f64 (+.f64 1 (/.f64 1 (pow.f64 N 2))) (+.f64 (/.f64 1 N) (/.f64 1 (pow.f64 N 3))))
(/.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 1/3 (pow.f64 N 3))
(-.f64 (*.f64 1/3 (/.f64 1 (pow.f64 N 3))) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (+.f64 (/.f64 1 N) (*.f64 1/3 (/.f64 1 (pow.f64 N 3)))) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (+.f64 (/.f64 1 N) (*.f64 1/3 (/.f64 1 (pow.f64 N 3)))) (*.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 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 1/2 (/.f64 1 (pow.f64 N 2))))
(*.f64 -1/3 (log.f64 N))
(+.f64 (*.f64 -1/3 (log.f64 N)) (*.f64 1/3 N))
(+.f64 (*.f64 -1/3 (log.f64 N)) (+.f64 (*.f64 -1/6 (pow.f64 N 2)) (*.f64 1/3 N)))
(+.f64 (*.f64 -1/3 (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)))))
(/.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)))))
(/.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 2/3 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 5)) 1/3)) 1/3) N)) (*.f64 2 (log.f64 (pow.f64 (cbrt.f64 -1) 2))))
(-.f64 (+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 2/3 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 5)) 1/3)) 1/3) N)) (+.f64 (*.f64 -2/9 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 10)) 1/3) (/.f64 1 (pow.f64 N 2)))) (+.f64 (*.f64 -1/9 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 10)) 1/3) (/.f64 1 (pow.f64 N 2)))) (*.f64 2 (log.f64 (pow.f64 (cbrt.f64 -1) 2)))))) (*.f64 1/6 (/.f64 1 (pow.f64 N 2))))
(-.f64 (+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 1/3 (+.f64 (*.f64 2/27 (/.f64 1 (pow.f64 (cbrt.f64 -1) 5))) (+.f64 (*.f64 2/9 (*.f64 (pow.f64 1 1/3) (/.f64 1 (pow.f64 (cbrt.f64 -1) 5)))) (*.f64 2 (+.f64 (*.f64 -2/9 (*.f64 (pow.f64 1 1/3) (/.f64 1 (pow.f64 (cbrt.f64 -1) 2)))) (*.f64 1/27 (/.f64 1 (pow.f64 (cbrt.f64 -1) 2)))))))) 1/9) (pow.f64 N 3))) (+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 2/3 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 5)) 1/3)) 1/3) N)) (+.f64 (*.f64 -2/9 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 10)) 1/3) (/.f64 1 (pow.f64 N 2)))) (+.f64 (*.f64 -1/9 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 10)) 1/3) (/.f64 1 (pow.f64 N 2)))) (*.f64 2 (log.f64 (pow.f64 (cbrt.f64 -1) 2))))))) (*.f64 1/6 (/.f64 1 (pow.f64 N 2))))
(+.f64 (/.f64 (exp.f64 (+.f64 (*.f64 (pow.f64 N -2) 5/24) (/.f64 -1/2 N))) N) 0)
(-.f64 (exp.f64 (log1p.f64 (/.f64 (exp.f64 (+.f64 (*.f64 (pow.f64 N -2) 5/24) (/.f64 -1/2 N))) N))) 1)
(/.f64 (exp.f64 (+.f64 (*.f64 (pow.f64 N -2) 5/24) (/.f64 -1/2 N))) N)
(/.f64 (neg.f64 (exp.f64 (+.f64 (*.f64 (pow.f64 N -2) 5/24) (/.f64 -1/2 N)))) (neg.f64 N))
(/.f64 (+.f64 (pow.f64 (/.f64 (exp.f64 (+.f64 (*.f64 (pow.f64 N -2) 5/24) (/.f64 -1/2 N))) N) 3) 0) (+.f64 (pow.f64 (/.f64 (exp.f64 (+.f64 (*.f64 (pow.f64 N -2) 5/24) (/.f64 -1/2 N))) N) 2) (-.f64 0 (*.f64 (/.f64 (exp.f64 (+.f64 (*.f64 (pow.f64 N -2) 5/24) (/.f64 -1/2 N))) N) 0))))
(pow.f64 (/.f64 (exp.f64 (+.f64 (*.f64 (pow.f64 N -2) 5/24) (/.f64 -1/2 N))) N) 1)
(pow.f64 (cbrt.f64 (/.f64 (exp.f64 (+.f64 (*.f64 (pow.f64 N -2) 5/24) (/.f64 -1/2 N))) N)) 3)
(pow.f64 (pow.f64 (/.f64 (exp.f64 (+.f64 (*.f64 (pow.f64 N -2) 5/24) (/.f64 -1/2 N))) N) 3) 1/3)
(pow.f64 (sqrt.f64 (/.f64 (exp.f64 (+.f64 (*.f64 (pow.f64 N -2) 5/24) (/.f64 -1/2 N))) N)) 2)
(sqrt.f64 (pow.f64 (/.f64 (exp.f64 (+.f64 (*.f64 (pow.f64 N -2) 5/24) (/.f64 -1/2 N))) N) 2))
(log.f64 (exp.f64 (/.f64 (exp.f64 (+.f64 (*.f64 (pow.f64 N -2) 5/24) (/.f64 -1/2 N))) N)))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (exp.f64 (+.f64 (*.f64 (pow.f64 N -2) 5/24) (/.f64 -1/2 N))) N))))
(cbrt.f64 (pow.f64 (/.f64 (exp.f64 (+.f64 (*.f64 (pow.f64 N -2) 5/24) (/.f64 -1/2 N))) N) 3))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 (pow.f64 (exp.f64 5/24) (pow.f64 N -2)) N) 3) (pow.f64 (exp.f64 (/.f64 -1/2 N)) 3)))
(cbrt.f64 (*.f64 (pow.f64 (exp.f64 (/.f64 -1/2 N)) 3) (pow.f64 (/.f64 (pow.f64 (exp.f64 5/24) (pow.f64 N -2)) N) 3)))
(expm1.f64 (log1p.f64 (/.f64 (exp.f64 (+.f64 (*.f64 (pow.f64 N -2) 5/24) (/.f64 -1/2 N))) N)))
(log1p.f64 (expm1.f64 (/.f64 (exp.f64 (+.f64 (*.f64 (pow.f64 N -2) 5/24) (/.f64 -1/2 N))) N)))
(exp.f64 (+.f64 (/.f64 -1/2 N) (-.f64 (*.f64 (pow.f64 N -2) 5/24) (log.f64 N))))
(exp.f64 (*.f64 (+.f64 (/.f64 -1/2 N) (-.f64 (*.f64 (pow.f64 N -2) 5/24) (log.f64 N))) 1))
(fma.f64 (/.f64 (pow.f64 (exp.f64 5/24) (pow.f64 N -2)) N) (exp.f64 (/.f64 -1/2 N)) 0)
(fma.f64 (exp.f64 (/.f64 -1/2 N)) (/.f64 (pow.f64 (exp.f64 5/24) (pow.f64 N -2)) N) 0)
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(-.f64 (exp.f64 (log1p.f64 (-.f64 (log1p.f64 N) (log.f64 N)))) 1)
(-.f64 (log.f64 (neg.f64 (+.f64 N 1))) (log.f64 (neg.f64 N)))
(-.f64 (/.f64 (pow.f64 (*.f64 1/3 (-.f64 (log1p.f64 N) (log.f64 N))) 2) (log.f64 (/.f64 (cbrt.f64 (/.f64 (+.f64 N 1) N)) (pow.f64 (cbrt.f64 (/.f64 (+.f64 N 1) N)) 2)))) (/.f64 (pow.f64 (*.f64 2 (*.f64 1/3 (-.f64 (log1p.f64 N) (log.f64 N)))) 2) (log.f64 (/.f64 (cbrt.f64 (/.f64 (+.f64 N 1) N)) (pow.f64 (cbrt.f64 (/.f64 (+.f64 N 1) N)) 2)))))
(-.f64 (/.f64 (pow.f64 (log1p.f64 N) 3) (+.f64 (pow.f64 (log1p.f64 N) 2) (+.f64 (pow.f64 (log.f64 N) 2) (*.f64 (log1p.f64 N) (log.f64 N))))) (/.f64 (pow.f64 (log.f64 N) 3) (+.f64 (pow.f64 (log1p.f64 N) 2) (+.f64 (pow.f64 (log.f64 N) 2) (*.f64 (log1p.f64 N) (log.f64 N))))))
(-.f64 (/.f64 (pow.f64 (log1p.f64 N) 2) (+.f64 (log1p.f64 N) (log.f64 N))) (/.f64 (pow.f64 (log.f64 N) 2) (+.f64 (log1p.f64 N) (log.f64 N))))
(*.f64 1 (-.f64 (log1p.f64 N) (log.f64 N)))
(*.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 (*.f64 (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 3) 1/27) (pow.f64 (*.f64 2 (*.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 (*.f64 1/3 (-.f64 (log1p.f64 N) (log.f64 N))) (*.f64 2 (*.f64 1/3 (-.f64 (log1p.f64 N) (log.f64 N))))))))
(/.f64 (-.f64 (pow.f64 (log1p.f64 N) 3) (pow.f64 (log.f64 N) 3)) (+.f64 (pow.f64 (log1p.f64 N) 2) (+.f64 (pow.f64 (log.f64 N) 2) (*.f64 (log1p.f64 N) (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)) (log.f64 (/.f64 (cbrt.f64 (/.f64 (+.f64 N 1) N)) (pow.f64 (cbrt.f64 (/.f64 (+.f64 N 1) 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 (*.f64 (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 3) 1/27) (pow.f64 (*.f64 2 (*.f64 1/3 (-.f64 (log1p.f64 N) (log.f64 N)))) 3))) (neg.f64 (+.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 (*.f64 1/3 (-.f64 (log1p.f64 N) (log.f64 N))) (*.f64 2 (*.f64 1/3 (-.f64 (log1p.f64 N) (log.f64 N)))))))))
(/.f64 (neg.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))) (neg.f64 (log.f64 (/.f64 (cbrt.f64 (/.f64 (+.f64 N 1) N)) (pow.f64 (cbrt.f64 (/.f64 (+.f64 N 1) N)) 2)))))
(/.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 (pow.f64 (log.f64 N) 2) (*.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 (+.f64 (pow.f64 (*.f64 2 (*.f64 1/3 (-.f64 (log1p.f64 N) (log.f64 N)))) 3) (*.f64 (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 3) 1/27)) (+.f64 (pow.f64 (*.f64 2 (*.f64 1/3 (-.f64 (log1p.f64 N) (log.f64 N)))) 2) (-.f64 (pow.f64 (*.f64 1/3 (-.f64 (log1p.f64 N) (log.f64 N))) 2) (*.f64 (*.f64 2 (*.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) 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 (-.f64 (log1p.f64 N) (log.f64 N)) 3) 0) (+.f64 (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 2) (-.f64 0 (*.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 0))))
(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)
(neg.f64 (-.f64 (log.f64 N) (log1p.f64 N)))
(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))))
(exp.f64 (*.f64 (log.f64 (-.f64 (log1p.f64 N) (log.f64 N))) 1))
(fma.f64 1 (log1p.f64 N) (neg.f64 (log.f64 N)))
(fma.f64 1 (-.f64 (log1p.f64 N) (log.f64 N)) 0)
(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 2 (*.f64 1/3 (-.f64 (log1p.f64 N) (log.f64 N))) (*.f64 1/3 (-.f64 (log1p.f64 N) (log.f64 N))))
(fma.f64 1/3 (-.f64 (log1p.f64 N) (log.f64 N)) (*.f64 2 (*.f64 1/3 (-.f64 (log1p.f64 N) (log.f64 N)))))
(fma.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 1/3 (*.f64 2 (*.f64 1/3 (-.f64 (log1p.f64 N) (log.f64 N)))))
(fma.f64 (*.f64 1/3 (-.f64 (log1p.f64 N) (log.f64 N))) 2 (*.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 (log1p.f64 N) (log.f64 N))) 2) (cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))) 0)
(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 (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 (sqrt.f64 (log1p.f64 N)) (sqrt.f64 (log1p.f64 N)) (neg.f64 (log.f64 N)))
(fma.f64 (sqrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))) (sqrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))) 0)
(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))))
(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)))))
Outputs
(/.f64 (*.f64 (exp.f64 (/.f64 -1/2 N)) (exp.f64 (/.f64 5/24 (pow.f64 N 2)))) N)
(/.f64 (exp.f64 (+.f64 (/.f64 -1/2 N) (/.f64 5/24 (pow.f64 N 2)))) N)
(/.f64 (*.f64 (exp.f64 (/.f64 -1/2 N)) (exp.f64 (/.f64 5/24 (pow.f64 N 2)))) N)
(/.f64 (exp.f64 (+.f64 (/.f64 -1/2 N) (/.f64 5/24 (pow.f64 N 2)))) N)
(/.f64 (*.f64 (exp.f64 (/.f64 -1/2 N)) (exp.f64 (/.f64 5/24 (pow.f64 N 2)))) N)
(/.f64 (exp.f64 (+.f64 (/.f64 -1/2 N) (/.f64 5/24 (pow.f64 N 2)))) N)
(/.f64 (*.f64 (exp.f64 (/.f64 -1/2 N)) (exp.f64 (/.f64 5/24 (pow.f64 N 2)))) N)
(/.f64 (exp.f64 (+.f64 (/.f64 -1/2 N) (/.f64 5/24 (pow.f64 N 2)))) 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 (*.f64 1/3 (/.f64 1 (pow.f64 N 3))) (/.f64 1 N)) (*.f64 1/2 (/.f64 1 (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 1/3 (pow.f64 N 3)) (+.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 (*.f64 1/8 (/.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 1/8 (pow.f64 N 4)) (/.f64 1/2 (pow.f64 N 2))))
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (-.f64 (/.f64 1 N) (+.f64 (/.f64 1/8 (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 (*.f64 1/3 (/.f64 1 (pow.f64 N 3))) (/.f64 1 N)) (*.f64 1/2 (/.f64 1 (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 1/3 (pow.f64 N 3)) (+.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 (*.f64 1/8 (/.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 1/8 (pow.f64 N 4)) (/.f64 1/2 (pow.f64 N 2))))
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (-.f64 (/.f64 1 N) (+.f64 (/.f64 1/8 (pow.f64 N 4)) (/.f64 1/2 (pow.f64 N 2)))))
(/.f64 (exp.f64 (/.f64 5/24 (pow.f64 N 2))) N)
(/.f64 (exp.f64 (/.f64 5/24 (pow.f64 N 2))) N)
(/.f64 (exp.f64 (/.f64 5/24 (pow.f64 N 2))) N)
(/.f64 (exp.f64 (/.f64 5/24 (pow.f64 N 2))) N)
(/.f64 1 N)
(+.f64 (/.f64 1 N) (*.f64 5/24 (/.f64 1 (pow.f64 N 3))))
(+.f64 (/.f64 1 N) (/.f64 5/24 (pow.f64 N 3)))
(+.f64 (*.f64 25/1152 (/.f64 1 (pow.f64 N 5))) (+.f64 (*.f64 5/24 (/.f64 1 (pow.f64 N 3))) (/.f64 1 N)))
(+.f64 (/.f64 25/1152 (pow.f64 N 5)) (+.f64 (/.f64 1 N) (/.f64 5/24 (pow.f64 N 3))))
(+.f64 (+.f64 (/.f64 25/1152 (pow.f64 N 5)) (/.f64 5/24 (pow.f64 N 3))) (/.f64 1 N))
(+.f64 (*.f64 125/82944 (/.f64 1 (pow.f64 N 7))) (+.f64 (*.f64 25/1152 (/.f64 1 (pow.f64 N 5))) (+.f64 (*.f64 5/24 (/.f64 1 (pow.f64 N 3))) (/.f64 1 N))))
(+.f64 (+.f64 (/.f64 25/1152 (pow.f64 N 5)) (+.f64 (/.f64 1 N) (/.f64 5/24 (pow.f64 N 3)))) (/.f64 125/82944 (pow.f64 N 7)))
(+.f64 (+.f64 (+.f64 (/.f64 25/1152 (pow.f64 N 5)) (/.f64 5/24 (pow.f64 N 3))) (/.f64 1 N)) (/.f64 125/82944 (pow.f64 N 7)))
(/.f64 1 N)
(+.f64 (/.f64 1 N) (*.f64 5/24 (/.f64 1 (pow.f64 N 3))))
(+.f64 (/.f64 1 N) (/.f64 5/24 (pow.f64 N 3)))
(+.f64 (*.f64 25/1152 (/.f64 1 (pow.f64 N 5))) (+.f64 (*.f64 5/24 (/.f64 1 (pow.f64 N 3))) (/.f64 1 N)))
(+.f64 (/.f64 25/1152 (pow.f64 N 5)) (+.f64 (/.f64 1 N) (/.f64 5/24 (pow.f64 N 3))))
(+.f64 (+.f64 (/.f64 25/1152 (pow.f64 N 5)) (/.f64 5/24 (pow.f64 N 3))) (/.f64 1 N))
(+.f64 (*.f64 125/82944 (/.f64 1 (pow.f64 N 7))) (+.f64 (*.f64 25/1152 (/.f64 1 (pow.f64 N 5))) (+.f64 (*.f64 5/24 (/.f64 1 (pow.f64 N 3))) (/.f64 1 N))))
(+.f64 (+.f64 (/.f64 25/1152 (pow.f64 N 5)) (+.f64 (/.f64 1 N) (/.f64 5/24 (pow.f64 N 3)))) (/.f64 125/82944 (pow.f64 N 7)))
(+.f64 (+.f64 (+.f64 (/.f64 25/1152 (pow.f64 N 5)) (/.f64 5/24 (pow.f64 N 3))) (/.f64 1 N)) (/.f64 125/82944 (pow.f64 N 7)))
(/.f64 1 N)
(/.f64 1 N)
(/.f64 1 N)
(/.f64 1 N)
(/.f64 1 N)
(/.f64 1 N)
(/.f64 1 N)
(/.f64 1 N)
(/.f64 1 N)
(/.f64 1 N)
(/.f64 1 N)
(/.f64 1 N)
(log.f64 N)
(+.f64 (log.f64 N) (*.f64 -1 N))
(+.f64 (log.f64 N) (neg.f64 N))
(-.f64 (log.f64 N) N)
(+.f64 (log.f64 N) (+.f64 (*.f64 -1 N) (*.f64 1/2 (pow.f64 N 2))))
(+.f64 (log.f64 N) (fma.f64 -1 N (*.f64 (pow.f64 N 2) 1/2)))
(+.f64 (-.f64 (log.f64 N) N) (*.f64 (pow.f64 N 2) 1/2))
(+.f64 (log.f64 N) (+.f64 (*.f64 -1 N) (+.f64 (*.f64 -1/3 (pow.f64 N 3)) (*.f64 1/2 (pow.f64 N 2)))))
(+.f64 (log.f64 N) (fma.f64 -1 N (fma.f64 -1/3 (pow.f64 N 3) (*.f64 (pow.f64 N 2) 1/2))))
(+.f64 (log.f64 N) (-.f64 (fma.f64 -1/3 (pow.f64 N 3) (*.f64 (pow.f64 N 2) 1/2)) N))
(/.f64 -1 N)
(-.f64 (*.f64 1/2 (/.f64 1 (pow.f64 N 2))) (/.f64 1 N))
(-.f64 (/.f64 1/2 (pow.f64 N 2)) (/.f64 1 N))
(+.f64 (/.f64 1/2 (pow.f64 N 2)) (/.f64 -1 N))
(-.f64 (*.f64 1/2 (/.f64 1 (pow.f64 N 2))) (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 N 3))) (/.f64 1 N)))
(-.f64 (/.f64 1/2 (pow.f64 N 2)) (+.f64 (/.f64 1 N) (/.f64 1/3 (pow.f64 N 3))))
(+.f64 (-.f64 (/.f64 1/2 (pow.f64 N 2)) (/.f64 1/3 (pow.f64 N 3))) (/.f64 -1 N))
(-.f64 (+.f64 (*.f64 1/4 (/.f64 1 (pow.f64 N 4))) (*.f64 1/2 (/.f64 1 (pow.f64 N 2)))) (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 N 3))) (/.f64 1 N)))
(+.f64 (/.f64 1/4 (pow.f64 N 4)) (-.f64 (/.f64 1/2 (pow.f64 N 2)) (+.f64 (/.f64 1 N) (/.f64 1/3 (pow.f64 N 3)))))
(+.f64 (-.f64 (+.f64 (/.f64 1/2 (pow.f64 N 2)) (/.f64 1/4 (pow.f64 N 4))) (/.f64 1/3 (pow.f64 N 3))) (/.f64 -1 N))
(/.f64 -1 N)
(-.f64 (*.f64 1/2 (/.f64 1 (pow.f64 N 2))) (/.f64 1 N))
(-.f64 (/.f64 1/2 (pow.f64 N 2)) (/.f64 1 N))
(+.f64 (/.f64 1/2 (pow.f64 N 2)) (/.f64 -1 N))
(-.f64 (*.f64 1/2 (/.f64 1 (pow.f64 N 2))) (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 N 3))) (/.f64 1 N)))
(-.f64 (/.f64 1/2 (pow.f64 N 2)) (+.f64 (/.f64 1 N) (/.f64 1/3 (pow.f64 N 3))))
(+.f64 (-.f64 (/.f64 1/2 (pow.f64 N 2)) (/.f64 1/3 (pow.f64 N 3))) (/.f64 -1 N))
(-.f64 (+.f64 (*.f64 1/4 (/.f64 1 (pow.f64 N 4))) (*.f64 1/2 (/.f64 1 (pow.f64 N 2)))) (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 N 3))) (/.f64 1 N)))
(+.f64 (/.f64 1/4 (pow.f64 N 4)) (-.f64 (/.f64 1/2 (pow.f64 N 2)) (+.f64 (/.f64 1 N) (/.f64 1/3 (pow.f64 N 3)))))
(+.f64 (-.f64 (+.f64 (/.f64 1/2 (pow.f64 N 2)) (/.f64 1/4 (pow.f64 N 4))) (/.f64 1/3 (pow.f64 N 3))) (/.f64 -1 N))
N
(+.f64 N (*.f64 -1 (pow.f64 N 2)))
(+.f64 N (neg.f64 (pow.f64 N 2)))
(-.f64 N (pow.f64 N 2))
(+.f64 N (+.f64 (*.f64 -1 (pow.f64 N 2)) (pow.f64 N 3)))
(+.f64 N (fma.f64 -1 (pow.f64 N 2) (pow.f64 N 3)))
(+.f64 N (-.f64 (pow.f64 N 3) (pow.f64 N 2)))
(+.f64 N (+.f64 (*.f64 -1 (pow.f64 N 2)) (+.f64 (*.f64 -1 (pow.f64 N 4)) (pow.f64 N 3))))
(+.f64 N (fma.f64 -1 (pow.f64 N 2) (fma.f64 -1 (pow.f64 N 4) (pow.f64 N 3))))
(+.f64 (-.f64 N (pow.f64 N 2)) (-.f64 (pow.f64 N 3) (pow.f64 N 4)))
1
(-.f64 1 (/.f64 1 N))
(+.f64 1 (/.f64 -1 N))
(-.f64 (+.f64 1 (/.f64 1 (pow.f64 N 2))) (/.f64 1 N))
(+.f64 1 (-.f64 (/.f64 1 (pow.f64 N 2)) (/.f64 1 N)))
(+.f64 1 (+.f64 (/.f64 1 (pow.f64 N 2)) (/.f64 -1 N)))
(-.f64 (+.f64 1 (/.f64 1 (pow.f64 N 2))) (+.f64 (/.f64 1 N) (/.f64 1 (pow.f64 N 3))))
(+.f64 1 (-.f64 (/.f64 1 (pow.f64 N 2)) (+.f64 (/.f64 1 N) (/.f64 1 (pow.f64 N 3)))))
(-.f64 (+.f64 1 (+.f64 (/.f64 1 (pow.f64 N 2)) (/.f64 -1 N))) (/.f64 1 (pow.f64 N 3)))
1
(-.f64 1 (/.f64 1 N))
(+.f64 1 (/.f64 -1 N))
(-.f64 (+.f64 1 (/.f64 1 (pow.f64 N 2))) (/.f64 1 N))
(+.f64 1 (-.f64 (/.f64 1 (pow.f64 N 2)) (/.f64 1 N)))
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(-.f64 (+.f64 1 (/.f64 1 (pow.f64 N 2))) (+.f64 (/.f64 1 N) (/.f64 1 (pow.f64 N 3))))
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(/.f64 (-.f64 (pow.f64 (*.f64 1/3 (-.f64 (log1p.f64 N) (log.f64 N))) 2) (pow.f64 (*.f64 2/3 (-.f64 (log1p.f64 N) (log.f64 N))) 2)) (log.f64 (/.f64 (cbrt.f64 (/.f64 (+.f64 N 1) N)) (pow.f64 (cbrt.f64 (/.f64 (+.f64 N 1) N)) 2))))
(/.f64 (-.f64 (*.f64 1/9 (pow.f64 (-.f64 (log.f64 N) (log1p.f64 N)) 2)) (*.f64 4/9 (pow.f64 (-.f64 (log.f64 N) (log1p.f64 N)) 2))) (log.f64 (/.f64 (cbrt.f64 (/.f64 (+.f64 N 1) N)) (pow.f64 (cbrt.f64 (/.f64 (+.f64 N 1) N)) 2))))
(-.f64 (/.f64 (pow.f64 (log1p.f64 N) 3) (+.f64 (pow.f64 (log1p.f64 N) 2) (+.f64 (pow.f64 (log.f64 N) 2) (*.f64 (log1p.f64 N) (log.f64 N))))) (/.f64 (pow.f64 (log.f64 N) 3) (+.f64 (pow.f64 (log1p.f64 N) 2) (+.f64 (pow.f64 (log.f64 N) 2) (*.f64 (log1p.f64 N) (log.f64 N))))))
(/.f64 (-.f64 (pow.f64 (log1p.f64 N) 3) (pow.f64 (log.f64 N) 3)) (+.f64 (pow.f64 (log1p.f64 N) 2) (+.f64 (pow.f64 (log.f64 N) 2) (*.f64 (log.f64 N) (log1p.f64 N)))))
(/.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 (log.f64 N) (log1p.f64 N)))))
(-.f64 (/.f64 (pow.f64 (log1p.f64 N) 2) (+.f64 (log1p.f64 N) (log.f64 N))) (/.f64 (pow.f64 (log.f64 N) 2) (+.f64 (log1p.f64 N) (log.f64 N))))
(/.f64 (-.f64 (pow.f64 (log1p.f64 N) 2) (pow.f64 (log.f64 N) 2)) (+.f64 (log.f64 N) (log1p.f64 N)))
(*.f64 1 (-.f64 (log1p.f64 N) (log.f64 N)))
(-.f64 (log1p.f64 N) (log.f64 N))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))) 2) (cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))))
(-.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 (log1p.f64 N) (log.f64 N))
(/.f64 (+.f64 (*.f64 (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 3) 1/27) (pow.f64 (*.f64 2 (*.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 (*.f64 1/3 (-.f64 (log1p.f64 N) (log.f64 N))) (*.f64 2 (*.f64 1/3 (-.f64 (log1p.f64 N) (log.f64 N))))))))
(/.f64 (fma.f64 (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 3) 1/27 (pow.f64 (*.f64 2/3 (-.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 2/3 (-.f64 (log1p.f64 N) (log.f64 N))) 2) (*.f64 2 (pow.f64 (*.f64 1/3 (-.f64 (log1p.f64 N) (log.f64 N))) 2)))))
(/.f64 (fma.f64 (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 3) 1/27 (*.f64 8/27 (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 3))) (+.f64 (+.f64 (*.f64 1/9 (pow.f64 (-.f64 (log.f64 N) (log1p.f64 N)) 2)) (*.f64 4/9 (pow.f64 (-.f64 (log.f64 N) (log1p.f64 N)) 2))) (*.f64 -2 (*.f64 1/9 (pow.f64 (-.f64 (log.f64 N) (log1p.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 (pow.f64 (log.f64 N) 2) (*.f64 (log1p.f64 N) (log.f64 N)))))
(/.f64 (-.f64 (pow.f64 (log1p.f64 N) 3) (pow.f64 (log.f64 N) 3)) (+.f64 (pow.f64 (log1p.f64 N) 2) (+.f64 (pow.f64 (log.f64 N) 2) (*.f64 (log.f64 N) (log1p.f64 N)))))
(/.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 (log.f64 N) (log1p.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)) (log.f64 (/.f64 (cbrt.f64 (/.f64 (+.f64 N 1) N)) (pow.f64 (cbrt.f64 (/.f64 (+.f64 N 1) N)) 2))))
(/.f64 (-.f64 (pow.f64 (*.f64 1/3 (-.f64 (log1p.f64 N) (log.f64 N))) 2) (pow.f64 (*.f64 2/3 (-.f64 (log1p.f64 N) (log.f64 N))) 2)) (log.f64 (/.f64 (cbrt.f64 (/.f64 (+.f64 N 1) N)) (pow.f64 (cbrt.f64 (/.f64 (+.f64 N 1) N)) 2))))
(/.f64 (-.f64 (*.f64 1/9 (pow.f64 (-.f64 (log.f64 N) (log1p.f64 N)) 2)) (*.f64 4/9 (pow.f64 (-.f64 (log.f64 N) (log1p.f64 N)) 2))) (log.f64 (/.f64 (cbrt.f64 (/.f64 (+.f64 N 1) N)) (pow.f64 (cbrt.f64 (/.f64 (+.f64 N 1) N)) 2))))
(/.f64 (-.f64 (pow.f64 (log1p.f64 N) 2) (pow.f64 (log.f64 N) 2)) (+.f64 (log1p.f64 N) (log.f64 N)))
(/.f64 (-.f64 (pow.f64 (log1p.f64 N) 2) (pow.f64 (log.f64 N) 2)) (+.f64 (log.f64 N) (log1p.f64 N)))
(/.f64 (neg.f64 (+.f64 (*.f64 (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 3) 1/27) (pow.f64 (*.f64 2 (*.f64 1/3 (-.f64 (log1p.f64 N) (log.f64 N)))) 3))) (neg.f64 (+.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 (*.f64 1/3 (-.f64 (log1p.f64 N) (log.f64 N))) (*.f64 2 (*.f64 1/3 (-.f64 (log1p.f64 N) (log.f64 N)))))))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 3) 1/27 (pow.f64 (*.f64 2/3 (-.f64 (log1p.f64 N) (log.f64 N))) 3))) (neg.f64 (+.f64 (pow.f64 (*.f64 1/3 (-.f64 (log1p.f64 N) (log.f64 N))) 2) (-.f64 (pow.f64 (*.f64 2/3 (-.f64 (log1p.f64 N) (log.f64 N))) 2) (*.f64 2 (pow.f64 (*.f64 1/3 (-.f64 (log1p.f64 N) (log.f64 N))) 2))))))
(*.f64 1 (/.f64 (fma.f64 (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 3) 1/27 (*.f64 8/27 (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 3))) (+.f64 (+.f64 (*.f64 1/9 (pow.f64 (-.f64 (log.f64 N) (log1p.f64 N)) 2)) (*.f64 4/9 (pow.f64 (-.f64 (log.f64 N) (log1p.f64 N)) 2))) (*.f64 -2 (*.f64 1/9 (pow.f64 (-.f64 (log.f64 N) (log1p.f64 N)) 2))))))
(/.f64 (neg.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))) (neg.f64 (log.f64 (/.f64 (cbrt.f64 (/.f64 (+.f64 N 1) N)) (pow.f64 (cbrt.f64 (/.f64 (+.f64 N 1) N)) 2)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 1/3 (-.f64 (log1p.f64 N) (log.f64 N))) 2) (pow.f64 (*.f64 2/3 (-.f64 (log1p.f64 N) (log.f64 N))) 2))) (neg.f64 (log.f64 (/.f64 (cbrt.f64 (/.f64 (+.f64 N 1) N)) (pow.f64 (cbrt.f64 (/.f64 (+.f64 N 1) N)) 2)))))
(*.f64 1 (/.f64 (-.f64 (*.f64 1/9 (pow.f64 (-.f64 (log.f64 N) (log1p.f64 N)) 2)) (*.f64 4/9 (pow.f64 (-.f64 (log.f64 N) (log1p.f64 N)) 2))) (log.f64 (/.f64 (cbrt.f64 (/.f64 (+.f64 N 1) N)) (pow.f64 (cbrt.f64 (/.f64 (+.f64 N 1) N)) 2)))))
(/.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 (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 (pow.f64 (log.f64 N) 2) (*.f64 (log.f64 N) (log1p.f64 N))))))
(*.f64 1 (/.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 (log.f64 N) (log1p.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 (pow.f64 (log1p.f64 N) 2) (pow.f64 (log.f64 N) 2))) (neg.f64 (+.f64 (log.f64 N) (log1p.f64 N))))
(*.f64 1 (/.f64 (-.f64 (pow.f64 (log1p.f64 N) 2) (pow.f64 (log.f64 N) 2)) (+.f64 (log.f64 N) (log1p.f64 N))))
(/.f64 (+.f64 (pow.f64 (*.f64 2 (*.f64 1/3 (-.f64 (log1p.f64 N) (log.f64 N)))) 3) (*.f64 (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 3) 1/27)) (+.f64 (pow.f64 (*.f64 2 (*.f64 1/3 (-.f64 (log1p.f64 N) (log.f64 N)))) 2) (-.f64 (pow.f64 (*.f64 1/3 (-.f64 (log1p.f64 N) (log.f64 N))) 2) (*.f64 (*.f64 2 (*.f64 1/3 (-.f64 (log1p.f64 N) (log.f64 N)))) (*.f64 1/3 (-.f64 (log1p.f64 N) (log.f64 N)))))))
(/.f64 (fma.f64 (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 3) 1/27 (pow.f64 (*.f64 2/3 (-.f64 (log1p.f64 N) (log.f64 N))) 3)) (-.f64 (+.f64 (pow.f64 (*.f64 2/3 (-.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 (fma.f64 (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 3) 1/27 (*.f64 8/27 (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 3))) (+.f64 (+.f64 (*.f64 4/9 (pow.f64 (-.f64 (log.f64 N) (log1p.f64 N)) 2)) (*.f64 1/9 (pow.f64 (-.f64 (log.f64 N) (log1p.f64 N)) 2))) (*.f64 -2 (*.f64 1/9 (pow.f64 (-.f64 (log.f64 N) (log1p.f64 N)) 2)))))
(/.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) 3) (pow.f64 (log.f64 N) 3)) (+.f64 (pow.f64 (log1p.f64 N) 2) (+.f64 (pow.f64 (log.f64 N) 2) (*.f64 (log.f64 N) (log1p.f64 N)))))
(/.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 (log.f64 N) (log1p.f64 N)))))
(/.f64 (+.f64 (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 3) 0) (+.f64 (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 2) (-.f64 0 (*.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 0))))
(/.f64 (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 3) (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 2))
(/.f64 (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 3) (pow.f64 (-.f64 (log.f64 N) (log1p.f64 N)) 2))
(pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 1)
(-.f64 (log1p.f64 N) (log.f64 N))
(pow.f64 (cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))) 3)
(-.f64 (log1p.f64 N) (log.f64 N))
(pow.f64 (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 3) 1/3)
(-.f64 (log1p.f64 N) (log.f64 N))
(pow.f64 (sqrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))) 2)
(-.f64 (log1p.f64 N) (log.f64 N))
(neg.f64 (-.f64 (log.f64 N) (log1p.f64 N)))
(-.f64 (log1p.f64 N) (log.f64 N))
(sqrt.f64 (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 2))
(sqrt.f64 (pow.f64 (-.f64 (log.f64 N) (log1p.f64 N)) 2))
(fabs.f64 (-.f64 (log.f64 N) (log1p.f64 N)))
(log.f64 (/.f64 (+.f64 N 1) N))
(-.f64 (log1p.f64 N) (log.f64 N))
(log.f64 (+.f64 1 (-.f64 (/.f64 (+.f64 N 1) N) 1)))
(log1p.f64 (+.f64 (/.f64 (+.f64 N 1) N) -1))
(cbrt.f64 (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 3))
(-.f64 (log1p.f64 N) (log.f64 N))
(expm1.f64 (log1p.f64 (-.f64 (log1p.f64 N) (log.f64 N))))
(log1p.f64 (-.f64 (/.f64 (+.f64 N 1) N) 1))
(log1p.f64 (+.f64 (/.f64 (+.f64 N 1) N) -1))
(exp.f64 (log.f64 (-.f64 (log1p.f64 N) (log.f64 N))))
(-.f64 (log1p.f64 N) (log.f64 N))
(exp.f64 (*.f64 (log.f64 (-.f64 (log1p.f64 N) (log.f64 N))) 1))
(-.f64 (log1p.f64 N) (log.f64 N))
(fma.f64 1 (log1p.f64 N) (neg.f64 (log.f64 N)))
(-.f64 (log1p.f64 N) (log.f64 N))
(fma.f64 1 (-.f64 (log1p.f64 N) (log.f64 N)) 0)
(-.f64 (log1p.f64 N) (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)))))
(-.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))))
(-.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))))
(-.f64 (log1p.f64 N) (log.f64 N))
(fma.f64 1/3 (-.f64 (log1p.f64 N) (log.f64 N)) (*.f64 2 (*.f64 1/3 (-.f64 (log1p.f64 N) (log.f64 N)))))
(-.f64 (log1p.f64 N) (log.f64 N))
(fma.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 1/3 (*.f64 2 (*.f64 1/3 (-.f64 (log1p.f64 N) (log.f64 N)))))
(-.f64 (log1p.f64 N) (log.f64 N))
(fma.f64 (*.f64 1/3 (-.f64 (log1p.f64 N) (log.f64 N))) 2 (*.f64 1/3 (-.f64 (log1p.f64 N) (log.f64 N))))
(-.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)))
(-.f64 (log1p.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))) 0)
(-.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))))
(-.f64 (log1p.f64 N) (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)))))
(-.f64 (log1p.f64 N) (log.f64 N))
(fma.f64 (sqrt.f64 (log1p.f64 N)) (sqrt.f64 (log1p.f64 N)) (neg.f64 (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))) 0)
(-.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 (log1p.f64 N) (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)))))
(-.f64 (log1p.f64 N) (log.f64 N))

eval525.0ms (4.8%)

Compiler

Compiled 18224 to 12780 computations (29.9% saved)

prune327.0ms (3%)

Pruning

45 alts after pruning (34 fresh and 11 done)

PrunedKeptTotal
New78914803
Fresh32023
Picked235
Done088
Total79445839
Accuracy
99.7%
Counts
839 → 45
Alt Table
Click to see full alt table
StatusAccuracyProgram
86.8%
(/.f64 (/.f64 3 N) 3)
97.1%
(/.f64 (exp.f64 (/.f64 5/24 (pow.f64 N 2))) (*.f64 N (exp.f64 (/.f64 1/2 N))))
97.2%
(/.f64 (exp.f64 (+.f64 (/.f64 -1/2 N) (/.f64 5/24 (pow.f64 N 2)))) N)
86.7%
(/.f64 3 (*.f64 N 3))
87.0%
(/.f64 1 N)
21.5%
(+.f64 (pow.f64 (cbrt.f64 (*.f64 1/3 (-.f64 (log1p.f64 N) (log.f64 N)))) 3) (*.f64 2 (log.f64 (cbrt.f64 (/.f64 (+.f64 N 1) N)))))
94.6%
(+.f64 (/.f64 1 N) (/.f64 (neg.f64 (/.f64 1/2 N)) N))
98.2%
(+.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)))))
96.6%
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 (*.f64 N (-.f64 N 1/2)) (pow.f64 N 3)))
21.5%
(+.f64 (*.f64 1/3 (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)))))) (*.f64 2 (log.f64 (cbrt.f64 (/.f64 (+.f64 N 1) N)))))
31.3%
(+.f64 (*.f64 1/3 (-.f64 (log1p.f64 N) (log.f64 N))) (*.f64 2 (-.f64 (+.f64 (/.f64 1/3 N) (/.f64 1/9 (pow.f64 N 3))) (+.f64 (/.f64 1/6 (pow.f64 N 2)) (/.f64 1/12 (pow.f64 N 4))))))
21.5%
(+.f64 (*.f64 1/3 (-.f64 (log1p.f64 N) (log.f64 N))) (*.f64 2 (log.f64 (cbrt.f64 (/.f64 (+.f64 N 1) N)))))
21.5%
(+.f64 (*.f64 1/3 (*.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 2 (log.f64 (cbrt.f64 (/.f64 (+.f64 N 1) N)))))
22.3%
(+.f64 (*.f64 1/3 (*.f64 2 (log.f64 (sqrt.f64 (/.f64 (+.f64 N 1) N))))) (*.f64 2 (log.f64 (cbrt.f64 (/.f64 (+.f64 N 1) N)))))
22.5%
(+.f64 (*.f64 1/3 (log.f64 (/.f64 (+.f64 N 1) N))) (*.f64 2 (log.f64 (cbrt.f64 (/.f64 (+.f64 N 1) N)))))
21.5%
(+.f64 (*.f64 1/3 (exp.f64 (log.f64 (-.f64 (log1p.f64 N) (log.f64 N))))) (*.f64 2 (log.f64 (cbrt.f64 (/.f64 (+.f64 N 1) N)))))
97.2%
(*.f64 (+.f64 (/.f64 1 N) (/.f64 5/24 (pow.f64 N 3))) (exp.f64 (/.f64 -1/2 N)))
20.7%
(*.f64 (+.f64 (sqrt.f64 (log1p.f64 N)) (sqrt.f64 (log.f64 N))) (/.f64 (-.f64 (pow.f64 (log1p.f64 N) 3/2) (pow.f64 (log.f64 N) 3/2)) (+.f64 (log1p.f64 N) (+.f64 (log.f64 N) (sqrt.f64 (*.f64 (log1p.f64 N) (log.f64 N)))))))
20.7%
(*.f64 (+.f64 (sqrt.f64 (log1p.f64 N)) (sqrt.f64 (log.f64 N))) (/.f64 1 (/.f64 (+.f64 (log1p.f64 N) (+.f64 (log.f64 N) (sqrt.f64 (*.f64 (log1p.f64 N) (log.f64 N))))) (-.f64 (pow.f64 (log1p.f64 N) 3/2) (pow.f64 (log.f64 N) 3/2)))))
20.1%
(*.f64 (+.f64 (sqrt.f64 (log1p.f64 N)) (sqrt.f64 (log.f64 N))) (log.f64 (exp.f64 (-.f64 (sqrt.f64 (log1p.f64 N)) (sqrt.f64 (log.f64 N))))))
20.1%
(*.f64 (+.f64 (sqrt.f64 (log1p.f64 N)) (cbrt.f64 (pow.f64 (log.f64 N) 3/2))) (log.f64 (exp.f64 (-.f64 (sqrt.f64 (log1p.f64 N)) (sqrt.f64 (log.f64 N))))))
85.5%
(*.f64 3 (pow.f64 (cbrt.f64 (/.f64 1/3 N)) 3))
86.6%
(*.f64 3 (/.f64 1 (*.f64 N 3)))
86.6%
(*.f64 3 (/.f64 1/3 N))
94.1%
(*.f64 3 (-.f64 (/.f64 1/3 N) (/.f64 1/6 (pow.f64 N 2))))
97.7%
(*.f64 3 (-.f64 (+.f64 (/.f64 1/3 N) (/.f64 1/9 (pow.f64 N 3))) (+.f64 (/.f64 1/6 (pow.f64 N 2)) (/.f64 1/12 (pow.f64 N 4)))))
20.8%
(*.f64 3 (-.f64 (log.f64 (cbrt.f64 (+.f64 N 1))) (log.f64 (cbrt.f64 N))))
96.5%
(*.f64 3 (+.f64 (/.f64 1/9 (pow.f64 N 3)) (-.f64 (/.f64 1/3 N) (/.f64 1/6 (pow.f64 N 2)))))
21.5%
(*.f64 3 (+.f64 (log.f64 (pow.f64 (/.f64 (+.f64 N 1) N) 1/6)) (log.f64 (pow.f64 (/.f64 (+.f64 N 1) N) 1/6))))
86.7%
(*.f64 3 (*.f64 1/3 (/.f64 1 N)))
21.9%
(*.f64 3 (log.f64 (cbrt.f64 (/.f64 (+.f64 N 1) N))))
22.1%
(*.f64 2 (+.f64 (log.f64 (pow.f64 (/.f64 (+.f64 N 1) N) 1/4)) (log.f64 (pow.f64 (/.f64 (+.f64 N 1) N) 1/4))))
21.9%
(*.f64 2 (+.f64 (log.f64 (cbrt.f64 (/.f64 (+.f64 N 1) N))) (log.f64 (cbrt.f64 (sqrt.f64 (/.f64 (+.f64 N 1) N))))))
22.5%
(*.f64 2 (log.f64 (sqrt.f64 (/.f64 (+.f64 N 1) N))))
22.1%
(neg.f64 (+.f64 (log.f64 (pow.f64 (cbrt.f64 (/.f64 N (+.f64 N 1))) 2)) (log.f64 (cbrt.f64 (/.f64 N (+.f64 N 1))))))
22.1%
(neg.f64 (*.f64 3 (log.f64 (cbrt.f64 (/.f64 N (+.f64 N 1))))))
23.2%
(neg.f64 (*.f64 2 (log.f64 (sqrt.f64 (/.f64 N (+.f64 N 1))))))
23.9%
(neg.f64 (log.f64 (/.f64 N (+.f64 N 1))))
24.2%
(neg.f64 (log.f64 (*.f64 N (/.f64 1 (+.f64 N 1)))))
23.3%
(log.f64 (/.f64 (+.f64 N 1) N))
92.1%
(exp.f64 (-.f64 (-.f64 (/.f64 5/24 (pow.f64 N 2)) (log.f64 N)) (/.f64 1/2 N)))
93.1%
(exp.f64 (-.f64 (-.f64 (/.f64 5/24 (pow.f64 N 2)) (log.f64 N)) (+.f64 (/.f64 1/2 N) (/.f64 1/8 (pow.f64 N 3)))))
89.9%
(exp.f64 (-.f64 (neg.f64 (log.f64 N)) (/.f64 1/2 N)))
93.2%
(exp.f64 (+.f64 (neg.f64 (log.f64 N)) (-.f64 (/.f64 5/24 (pow.f64 N 2)) (+.f64 (/.f64 1/2 N) (/.f64 1/8 (pow.f64 N 3))))))
23.3%
(exp.f64 (*.f64 (*.f64 3 (log.f64 (log.f64 (/.f64 (+.f64 N 1) N)))) 1/3))
Compiler

Compiled 1756 to 1186 computations (32.5% saved)

regimes47.0ms (0.4%)

Counts
69 → 1
Calls
Call 1
Inputs
(/.f64 1 N)
(*.f64 3 (/.f64 1/3 N))
(/.f64 3 (*.f64 N 3))
(/.f64 (/.f64 3 N) 3)
(*.f64 3 (*.f64 1/3 (/.f64 1 N)))
(*.f64 3 (/.f64 1 (*.f64 N 3)))
(+.f64 (/.f64 1 N) (/.f64 (neg.f64 (/.f64 1/2 N)) N))
(log.f64 (/.f64 (+.f64 N 1) N))
(neg.f64 (log.f64 (/.f64 N (+.f64 N 1))))
(*.f64 3 (log.f64 (+.f64 1 (/.f64 1/3 N))))
(neg.f64 (log.f64 (*.f64 N (/.f64 1 (+.f64 N 1)))))
(-.f64 (/.f64 1 N) (/.f64 1/2 (pow.f64 N 2)))
(*.f64 3 (-.f64 (/.f64 1/3 N) (/.f64 1/6 (pow.f64 N 2))))
(-.f64 (log1p.f64 N) (log.f64 N))
(-.f64 (log.f64 (+.f64 N 1)) (log.f64 N))
(exp.f64 (-.f64 (neg.f64 (log.f64 N)) (/.f64 1/2 N)))
(*.f64 3 (pow.f64 (cbrt.f64 (/.f64 1/3 N)) 3))
(*.f64 2 (log.f64 (sqrt.f64 (/.f64 (+.f64 N 1) N))))
(*.f64 3 (log.f64 (cbrt.f64 (/.f64 (+.f64 N 1) N))))
(neg.f64 (*.f64 2 (log.f64 (sqrt.f64 (/.f64 N (+.f64 N 1))))))
(neg.f64 (*.f64 3 (log.f64 (cbrt.f64 (/.f64 N (+.f64 N 1))))))
(*.f64 3 (log.f64 (pow.f64 (/.f64 (+.f64 N 1) N) 1/3)))
(exp.f64 (*.f64 (-.f64 (*.f64 3 (neg.f64 (log.f64 N))) (/.f64 3/2 N)) 1/3))
(/.f64 (exp.f64 (+.f64 (/.f64 -1/2 N) (/.f64 5/24 (pow.f64 N 2)))) N)
(*.f64 (+.f64 (/.f64 1 N) (/.f64 5/24 (pow.f64 N 3))) (exp.f64 (/.f64 -1/2 N)))
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (-.f64 (/.f64 1 N) (/.f64 1/2 (pow.f64 N 2))))
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 (*.f64 N (-.f64 N 1/2)) (pow.f64 N 3)))
(+.f64 (/.f64 1 N) (-.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 1/2 (pow.f64 N 2))))
(*.f64 3 (+.f64 (/.f64 1/9 (pow.f64 N 3)) (-.f64 (/.f64 1/3 N) (/.f64 1/6 (pow.f64 N 2)))))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (log.f64 (/.f64 (+.f64 N 1) N)))) 1/3))
(exp.f64 (-.f64 (-.f64 (/.f64 5/24 (pow.f64 N 2)) (log.f64 N)) (/.f64 1/2 N)))
(/.f64 (exp.f64 (/.f64 5/24 (pow.f64 N 2))) (*.f64 N (exp.f64 (/.f64 1/2 N))))
(+.f64 (*.f64 1/3 (log.f64 (/.f64 (+.f64 N 1) N))) (*.f64 2 (log.f64 (cbrt.f64 (/.f64 (+.f64 N 1) N)))))
(+.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 3 (-.f64 (+.f64 (/.f64 1/3 N) (/.f64 1/9 (pow.f64 N 3))) (+.f64 (/.f64 1/6 (pow.f64 N 2)) (/.f64 1/12 (pow.f64 N 4)))))
(cbrt.f64 (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 3))
(pow.f64 (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 3) 1/3)
(exp.f64 (*.f64 (*.f64 3 (log.f64 (-.f64 (log1p.f64 N) (log.f64 N)))) 1/3))
(*.f64 3 (-.f64 (log.f64 (cbrt.f64 (+.f64 N 1))) (log.f64 (cbrt.f64 N))))
(*.f64 (/.f64 (pow.f64 (exp.f64 5/24) (pow.f64 N -2)) N) (exp.f64 (/.f64 -1/2 N)))
(+.f64 (*.f64 1/3 (-.f64 (log1p.f64 N) (log.f64 N))) (*.f64 2 (log.f64 (cbrt.f64 (/.f64 (+.f64 N 1) N)))))
(exp.f64 (-.f64 (-.f64 (/.f64 5/24 (pow.f64 N 2)) (log.f64 N)) (+.f64 (/.f64 1/2 N) (/.f64 1/8 (pow.f64 N 3)))))
(*.f64 2 (+.f64 (log.f64 (pow.f64 (/.f64 (+.f64 N 1) N) 1/4)) (log.f64 (pow.f64 (/.f64 (+.f64 N 1) N) 1/4))))
(*.f64 3 (+.f64 (log.f64 (pow.f64 (/.f64 (+.f64 N 1) N) 1/6)) (log.f64 (pow.f64 (/.f64 (+.f64 N 1) N) 1/6))))
(exp.f64 (+.f64 (neg.f64 (log.f64 N)) (-.f64 (/.f64 5/24 (pow.f64 N 2)) (+.f64 (/.f64 1/2 N) (/.f64 1/8 (pow.f64 N 3))))))
(+.f64 (*.f64 1/3 (*.f64 2 (log.f64 (sqrt.f64 (/.f64 (+.f64 N 1) N))))) (*.f64 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))))
(neg.f64 (+.f64 (log.f64 (pow.f64 (cbrt.f64 (/.f64 N (+.f64 N 1))) 2)) (log.f64 (cbrt.f64 (/.f64 N (+.f64 N 1))))))
(*.f64 2 (+.f64 (log.f64 (cbrt.f64 (/.f64 (+.f64 N 1) N))) (log.f64 (cbrt.f64 (sqrt.f64 (/.f64 (+.f64 N 1) N))))))
(+.f64 (*.f64 1/3 (-.f64 (log1p.f64 N) (log.f64 N))) (*.f64 2 (-.f64 (+.f64 (/.f64 1/3 N) (/.f64 1/9 (pow.f64 N 3))) (+.f64 (/.f64 1/6 (pow.f64 N 2)) (/.f64 1/12 (pow.f64 N 4))))))
(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 (*.f64 1/3 (exp.f64 (log.f64 (-.f64 (log1p.f64 N) (log.f64 N))))) (*.f64 2 (log.f64 (cbrt.f64 (/.f64 (+.f64 N 1) N)))))
(+.f64 (pow.f64 (cbrt.f64 (*.f64 1/3 (-.f64 (log1p.f64 N) (log.f64 N)))) 3) (*.f64 2 (log.f64 (cbrt.f64 (/.f64 (+.f64 N 1) 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 (+.f64 (sqrt.f64 (log1p.f64 N)) (sqrt.f64 (log.f64 N))) (log.f64 (exp.f64 (-.f64 (sqrt.f64 (log1p.f64 N)) (sqrt.f64 (log.f64 N))))))
(*.f64 (+.f64 (sqrt.f64 (log1p.f64 N)) (pow.f64 (cbrt.f64 (sqrt.f64 (log.f64 N))) 3)) (-.f64 (sqrt.f64 (log1p.f64 N)) (sqrt.f64 (log.f64 N))))
(*.f64 (+.f64 (sqrt.f64 (log1p.f64 N)) (sqrt.f64 (log.f64 N))) (pow.f64 (pow.f64 (-.f64 (sqrt.f64 (log1p.f64 N)) (sqrt.f64 (log.f64 N))) 3) 1/3))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (*.f64 (+.f64 (sqrt.f64 (log1p.f64 N)) (sqrt.f64 (log.f64 N))) (-.f64 (sqrt.f64 (log1p.f64 N)) (sqrt.f64 (log.f64 N)))))) 1/3))
(/.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) 3) (pow.f64 (log.f64 N) 3)) (+.f64 (pow.f64 (log1p.f64 N) 2) (+.f64 (pow.f64 (log.f64 N) 2) (*.f64 (log1p.f64 N) (log.f64 N)))))
(*.f64 (-.f64 (pow.f64 (log1p.f64 N) 3) (pow.f64 (log.f64 N) 3)) (/.f64 1 (+.f64 (pow.f64 (log1p.f64 N) 2) (+.f64 (pow.f64 (log.f64 N) 2) (*.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 (sqrt.f64 (log1p.f64 N)) (cbrt.f64 (pow.f64 (log.f64 N) 3/2))) (log.f64 (exp.f64 (-.f64 (sqrt.f64 (log1p.f64 N)) (sqrt.f64 (log.f64 N))))))
(+.f64 (*.f64 1/3 (*.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 2 (log.f64 (cbrt.f64 (/.f64 (+.f64 N 1) N)))))
(*.f64 (+.f64 (sqrt.f64 (log1p.f64 N)) (sqrt.f64 (log.f64 N))) (/.f64 (-.f64 (pow.f64 (log1p.f64 N) 3/2) (pow.f64 (log.f64 N) 3/2)) (+.f64 (log1p.f64 N) (+.f64 (log.f64 N) (sqrt.f64 (*.f64 (log1p.f64 N) (log.f64 N)))))))
(+.f64 (*.f64 1/3 (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)))))) (*.f64 2 (log.f64 (cbrt.f64 (/.f64 (+.f64 N 1) N)))))
(*.f64 (+.f64 (sqrt.f64 (log1p.f64 N)) (sqrt.f64 (log.f64 N))) (/.f64 1 (/.f64 (+.f64 (log1p.f64 N) (+.f64 (log.f64 N) (sqrt.f64 (*.f64 (log1p.f64 N) (log.f64 N))))) (-.f64 (pow.f64 (log1p.f64 N) 3/2) (pow.f64 (log.f64 N) 3/2)))))
Outputs
(+.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)))))
Calls

2 calls:

34.0ms
N
9.0ms
(-.f64 (log.f64 (+.f64 N 1)) (log.f64 N))
Results
AccuracySegmentsBranch
98.2%1N
98.2%1(-.f64 (log.f64 (+.f64 N 1)) (log.f64 N))
Compiler

Compiled 10 to 7 computations (30% saved)

regimes38.0ms (0.3%)

Counts
33 → 2
Calls
Call 1
Inputs
(/.f64 1 N)
(*.f64 3 (/.f64 1/3 N))
(/.f64 3 (*.f64 N 3))
(/.f64 (/.f64 3 N) 3)
(*.f64 3 (*.f64 1/3 (/.f64 1 N)))
(*.f64 3 (/.f64 1 (*.f64 N 3)))
(+.f64 (/.f64 1 N) (/.f64 (neg.f64 (/.f64 1/2 N)) N))
(log.f64 (/.f64 (+.f64 N 1) N))
(neg.f64 (log.f64 (/.f64 N (+.f64 N 1))))
(*.f64 3 (log.f64 (+.f64 1 (/.f64 1/3 N))))
(neg.f64 (log.f64 (*.f64 N (/.f64 1 (+.f64 N 1)))))
(-.f64 (/.f64 1 N) (/.f64 1/2 (pow.f64 N 2)))
(*.f64 3 (-.f64 (/.f64 1/3 N) (/.f64 1/6 (pow.f64 N 2))))
(-.f64 (log1p.f64 N) (log.f64 N))
(-.f64 (log.f64 (+.f64 N 1)) (log.f64 N))
(exp.f64 (-.f64 (neg.f64 (log.f64 N)) (/.f64 1/2 N)))
(*.f64 3 (pow.f64 (cbrt.f64 (/.f64 1/3 N)) 3))
(*.f64 2 (log.f64 (sqrt.f64 (/.f64 (+.f64 N 1) N))))
(*.f64 3 (log.f64 (cbrt.f64 (/.f64 (+.f64 N 1) N))))
(neg.f64 (*.f64 2 (log.f64 (sqrt.f64 (/.f64 N (+.f64 N 1))))))
(neg.f64 (*.f64 3 (log.f64 (cbrt.f64 (/.f64 N (+.f64 N 1))))))
(*.f64 3 (log.f64 (pow.f64 (/.f64 (+.f64 N 1) N) 1/3)))
(exp.f64 (*.f64 (-.f64 (*.f64 3 (neg.f64 (log.f64 N))) (/.f64 3/2 N)) 1/3))
(/.f64 (exp.f64 (+.f64 (/.f64 -1/2 N) (/.f64 5/24 (pow.f64 N 2)))) N)
(*.f64 (+.f64 (/.f64 1 N) (/.f64 5/24 (pow.f64 N 3))) (exp.f64 (/.f64 -1/2 N)))
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (-.f64 (/.f64 1 N) (/.f64 1/2 (pow.f64 N 2))))
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 (*.f64 N (-.f64 N 1/2)) (pow.f64 N 3)))
(+.f64 (/.f64 1 N) (-.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 1/2 (pow.f64 N 2))))
(*.f64 3 (+.f64 (/.f64 1/9 (pow.f64 N 3)) (-.f64 (/.f64 1/3 N) (/.f64 1/6 (pow.f64 N 2)))))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (log.f64 (/.f64 (+.f64 N 1) N)))) 1/3))
(exp.f64 (-.f64 (-.f64 (/.f64 5/24 (pow.f64 N 2)) (log.f64 N)) (/.f64 1/2 N)))
(/.f64 (exp.f64 (/.f64 5/24 (pow.f64 N 2))) (*.f64 N (exp.f64 (/.f64 1/2 N))))
(+.f64 (*.f64 1/3 (log.f64 (/.f64 (+.f64 N 1) N))) (*.f64 2 (log.f64 (cbrt.f64 (/.f64 (+.f64 N 1) N)))))
Outputs
(/.f64 (exp.f64 (+.f64 (/.f64 -1/2 N) (/.f64 5/24 (pow.f64 N 2)))) N)
(neg.f64 (log.f64 (/.f64 N (+.f64 N 1))))
Calls

2 calls:

28.0ms
N
8.0ms
(-.f64 (log.f64 (+.f64 N 1)) (log.f64 N))
Results
AccuracySegmentsBranch
99.1%2N
99.1%2(-.f64 (log.f64 (+.f64 N 1)) (log.f64 N))
Compiler

Compiled 10 to 7 computations (30% saved)

regimes30.0ms (0.3%)

Counts
23 → 2
Calls
Call 1
Inputs
(/.f64 1 N)
(*.f64 3 (/.f64 1/3 N))
(/.f64 3 (*.f64 N 3))
(/.f64 (/.f64 3 N) 3)
(*.f64 3 (*.f64 1/3 (/.f64 1 N)))
(*.f64 3 (/.f64 1 (*.f64 N 3)))
(+.f64 (/.f64 1 N) (/.f64 (neg.f64 (/.f64 1/2 N)) N))
(log.f64 (/.f64 (+.f64 N 1) N))
(neg.f64 (log.f64 (/.f64 N (+.f64 N 1))))
(*.f64 3 (log.f64 (+.f64 1 (/.f64 1/3 N))))
(neg.f64 (log.f64 (*.f64 N (/.f64 1 (+.f64 N 1)))))
(-.f64 (/.f64 1 N) (/.f64 1/2 (pow.f64 N 2)))
(*.f64 3 (-.f64 (/.f64 1/3 N) (/.f64 1/6 (pow.f64 N 2))))
(-.f64 (log1p.f64 N) (log.f64 N))
(-.f64 (log.f64 (+.f64 N 1)) (log.f64 N))
(exp.f64 (-.f64 (neg.f64 (log.f64 N)) (/.f64 1/2 N)))
(*.f64 3 (pow.f64 (cbrt.f64 (/.f64 1/3 N)) 3))
(*.f64 2 (log.f64 (sqrt.f64 (/.f64 (+.f64 N 1) N))))
(*.f64 3 (log.f64 (cbrt.f64 (/.f64 (+.f64 N 1) N))))
(neg.f64 (*.f64 2 (log.f64 (sqrt.f64 (/.f64 N (+.f64 N 1))))))
(neg.f64 (*.f64 3 (log.f64 (cbrt.f64 (/.f64 N (+.f64 N 1))))))
(*.f64 3 (log.f64 (pow.f64 (/.f64 (+.f64 N 1) N) 1/3)))
(exp.f64 (*.f64 (-.f64 (*.f64 3 (neg.f64 (log.f64 N))) (/.f64 3/2 N)) 1/3))
Outputs
(+.f64 (/.f64 1 N) (/.f64 (neg.f64 (/.f64 1/2 N)) N))
(neg.f64 (log.f64 (/.f64 N (+.f64 N 1))))
Calls

2 calls:

21.0ms
N
8.0ms
(-.f64 (log.f64 (+.f64 N 1)) (log.f64 N))
Results
AccuracySegmentsBranch
97.9%2N
97.9%2(-.f64 (log.f64 (+.f64 N 1)) (log.f64 N))
Compiler

Compiled 10 to 7 computations (30% saved)

regimes11.0ms (0.1%)

Counts
8 → 2
Calls
Call 1
Inputs
(/.f64 1 N)
(*.f64 3 (/.f64 1/3 N))
(/.f64 3 (*.f64 N 3))
(/.f64 (/.f64 3 N) 3)
(*.f64 3 (*.f64 1/3 (/.f64 1 N)))
(*.f64 3 (/.f64 1 (*.f64 N 3)))
(+.f64 (/.f64 1 N) (/.f64 (neg.f64 (/.f64 1/2 N)) N))
(log.f64 (/.f64 (+.f64 N 1) N))
Outputs
(log.f64 (/.f64 (+.f64 N 1) N))
(+.f64 (/.f64 1 N) (/.f64 (neg.f64 (/.f64 1/2 N)) N))
Calls

1 calls:

10.0ms
N
Results
AccuracySegmentsBranch
97.8%2N
Compiler

Compiled 2 to 1 computations (50% saved)

regimes5.0ms (0%)

Counts
7 → 1
Calls
Call 1
Inputs
(/.f64 1 N)
(*.f64 3 (/.f64 1/3 N))
(/.f64 3 (*.f64 N 3))
(/.f64 (/.f64 3 N) 3)
(*.f64 3 (*.f64 1/3 (/.f64 1 N)))
(*.f64 3 (/.f64 1 (*.f64 N 3)))
(+.f64 (/.f64 1 N) (/.f64 (neg.f64 (/.f64 1/2 N)) N))
Outputs
(+.f64 (/.f64 1 N) (/.f64 (neg.f64 (/.f64 1/2 N)) N))
Calls

1 calls:

5.0ms
N
Results
AccuracySegmentsBranch
94.6%1N
Compiler

Compiled 2 to 1 computations (50% saved)

regimes5.0ms (0%)

Accuracy

Total -0.4b remaining (-5.4%)

Threshold costs -0.4b (-5.4%)

Counts
6 → 1
Calls
Call 1
Inputs
(/.f64 1 N)
(*.f64 3 (/.f64 1/3 N))
(/.f64 3 (*.f64 N 3))
(/.f64 (/.f64 3 N) 3)
(*.f64 3 (*.f64 1/3 (/.f64 1 N)))
(*.f64 3 (/.f64 1 (*.f64 N 3)))
Outputs
(/.f64 1 N)
Calls

1 calls:

4.0ms
N
Results
AccuracySegmentsBranch
87.0%1N
Compiler

Compiled 2 to 1 computations (50% saved)

bsearch0.0ms (0%)

Algorithm
left-value
Steps
TimeLeftRight
0.0ms
9.454927258367718e-5
0.00014140913052429482
Compiler

Compiled 12 to 9 computations (25% saved)

bsearch0.0ms (0%)

Algorithm
left-value
Steps
TimeLeftRight
0.0ms
4.464219927058366e-6
5.0826353739097385e-6
Compiler

Compiled 12 to 9 computations (25% saved)

bsearch12.0ms (0.1%)

Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
12.0ms
89405.94007727738
196395.25100775025
Results
9.0ms64×256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
Compiler

Compiled 112 to 84 computations (25% saved)

simplify26.0ms (0.2%)

Algorithm
egg-herbie
Rules
270×unsub-neg
114×cancel-sign-sub-inv
104×neg-mul-1
78×distribute-lft-neg-in
72×+-commutative
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
055400
1107388
2162388
3197388
4216388
5264388
6320388
7327388
8366388
9495388
10644388
Stop Event
fuel
saturated
Calls
Call 1
Inputs
(+.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)))))
(if (<=.f64 (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N)) 7378697629483821/73786976294838206464) (/.f64 (exp.f64 (+.f64 (/.f64 -1/2 N) (/.f64 5/24 (pow.f64 N 2)))) N) (neg.f64 (log.f64 (/.f64 N (+.f64 N 1)))))
(if (<=.f64 (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N)) 5902958103587057/1180591620717411303424) (+.f64 (/.f64 1 N) (/.f64 (neg.f64 (/.f64 1/2 N)) N)) (neg.f64 (log.f64 (/.f64 N (+.f64 N 1)))))
(if (<=.f64 N 195000) (log.f64 (/.f64 (+.f64 N 1) N)) (+.f64 (/.f64 1 N) (/.f64 (neg.f64 (/.f64 1/2 N)) N)))
(+.f64 (/.f64 1 N) (/.f64 (neg.f64 (/.f64 1/2 N)) N))
(/.f64 1 N)
Outputs
(+.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)))))
(if (<=.f64 (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N)) 7378697629483821/73786976294838206464) (/.f64 (exp.f64 (+.f64 (/.f64 -1/2 N) (/.f64 5/24 (pow.f64 N 2)))) N) (neg.f64 (log.f64 (/.f64 N (+.f64 N 1)))))
(if (<=.f64 (-.f64 (log.f64 (+.f64 1 N)) (log.f64 N)) 7378697629483821/73786976294838206464) (/.f64 (exp.f64 (+.f64 (/.f64 -1/2 N) (/.f64 5/24 (pow.f64 N 2)))) N) (neg.f64 (log.f64 (/.f64 N (+.f64 1 N)))))
(if (<=.f64 (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N)) 5902958103587057/1180591620717411303424) (+.f64 (/.f64 1 N) (/.f64 (neg.f64 (/.f64 1/2 N)) N)) (neg.f64 (log.f64 (/.f64 N (+.f64 N 1)))))
(if (<=.f64 (-.f64 (log.f64 (+.f64 1 N)) (log.f64 N)) 5902958103587057/1180591620717411303424) (+.f64 (/.f64 1 N) (/.f64 (/.f64 (neg.f64 1/2) N) N)) (neg.f64 (log.f64 (/.f64 N (+.f64 1 N)))))
(if (<=.f64 (-.f64 (log.f64 (+.f64 1 N)) (log.f64 N)) 5902958103587057/1180591620717411303424) (-.f64 (/.f64 1 N) (/.f64 (/.f64 1/2 N) N)) (neg.f64 (log.f64 (/.f64 N (+.f64 1 N)))))
(if (<=.f64 N 195000) (log.f64 (/.f64 (+.f64 N 1) N)) (+.f64 (/.f64 1 N) (/.f64 (neg.f64 (/.f64 1/2 N)) N)))
(if (<=.f64 N 195000) (log.f64 (/.f64 (+.f64 1 N) N)) (+.f64 (/.f64 1 N) (/.f64 (/.f64 (neg.f64 1/2) N) N)))
(if (<=.f64 N 195000) (log.f64 (/.f64 (+.f64 1 N) N)) (-.f64 (/.f64 1 N) (/.f64 (/.f64 1/2 N) N)))
(+.f64 (/.f64 1 N) (/.f64 (neg.f64 (/.f64 1/2 N)) N))
(+.f64 (/.f64 1 N) (/.f64 (/.f64 (neg.f64 1/2) N) N))
(-.f64 (/.f64 1 N) (/.f64 (/.f64 1/2 N) N))
(/.f64 1 N)
Compiler

Compiled 113 to 85 computations (24.8% saved)

soundness2.3s (21.4%)

Rules
1728×fma-neg
1624×fma-define
1562×add0
1485×add0
1228×fma-neg
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
017128
144104
2111100
3197100
4331100
5564100
680296
7127896
8197696
9343196
10407096
11407496
12407496
13614696
14658396
15704996
16704996
17743496
18783596
0929
19729
2134229
0127038412
1455336909
042357
1665315
096219510
1341818553
0929
19729
2134229
03575433
111715179
238205155
038376
1644324
0124529936
1431028546
0929
19729
2134229
03575433
111715179
238205155
Stop Event
node limit
node limit
node limit
node limit
node limit
node limit
node limit
node limit
node limit
node limit
node limit
Compiler

Compiled 1331 to 892 computations (33% saved)

end0.0ms (0%)

preprocess81.0ms (0.7%)

Compiler

Compiled 242 to 178 computations (26.4% saved)

Profiling

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