2log (problem 3.3.6)

Time bar (total: 8.6s)

analyze0.0ms (0%)

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

Compiled 15 to 11 computations (26.7% saved)

sample1.8s (20.3%)

Results
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Bogosity

preprocess717.0ms (8.3%)

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
2510-2(24.43252361716892)(-.f64 (log.f64 (+.f64 N 1)) (log.f64 N))
00-0-1
00-0-(log.f64 N)
00-0-(log.f64 (+.f64 N 1))
00-0-(+.f64 N 1)
00-0-N
Iterations

Useful iterations: 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)

localize50.0ms (0.6%)

Localize:

Found 1 expressions with local error:

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

Compiled 12 to 5 computations (58.3% saved)

series3.0ms (0%)

Counts
1 → 12
Calls

3 calls:

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

rewrite202.0ms (2.3%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
0921
19721
2134621
Stop Event
node limit
Counts
1 → 112
Calls
Call 1
Inputs
(-.f64 (log1p.f64 N) (log.f64 N))
Outputs
(+.f64 (log1p.f64 N) (neg.f64 (log.f64 N)))
(+.f64 (log1p.f64 N) (*.f64 (neg.f64 (log.f64 N)) 1))
(+.f64 (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))

simplify120.0ms (1.4%)

Algorithm
egg-herbie
Rules
678×associate-/l*
628×add0
548×unswap-sqr
524×+-commutative
522×log-prod
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
02494308
18304128
225954112
369024084
Stop Event
node limit
Counts
124 → 154
Calls
Call 1
Inputs
(*.f64 -1 (log.f64 N))
(+.f64 N (*.f64 -1 (log.f64 N)))
(+.f64 N (+.f64 (*.f64 -1 (log.f64 N)) (*.f64 -1/2 (pow.f64 N 2))))
(+.f64 N (+.f64 (*.f64 -1 (log.f64 N)) (+.f64 (*.f64 -1/2 (pow.f64 N 2)) (*.f64 1/3 (pow.f64 N 3)))))
(/.f64 1 N)
(-.f64 (/.f64 1 N) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 N 3))) (/.f64 1 N)) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 N 3))) (/.f64 1 N)) (+.f64 (*.f64 1/4 (/.f64 1 (pow.f64 N 4))) (*.f64 1/2 (/.f64 1 (pow.f64 N 2)))))
(/.f64 1 N)
(-.f64 (/.f64 1 N) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 N 3))) (/.f64 1 N)) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 N 3))) (/.f64 1 N)) (+.f64 (*.f64 1/4 (/.f64 1 (pow.f64 N 4))) (*.f64 1/2 (/.f64 1 (pow.f64 N 2)))))
(+.f64 (log1p.f64 N) (neg.f64 (log.f64 N)))
(+.f64 (log1p.f64 N) (*.f64 (neg.f64 (log.f64 N)) 1))
(+.f64 (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))
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 N (-.f64 (*.f64 -1/2 (pow.f64 N 2)) (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 N (-.f64 (fma.f64 -1/2 (pow.f64 N 2) (*.f64 1/3 (pow.f64 N 3))) (log.f64 N)))
(+.f64 N (-.f64 (*.f64 (pow.f64 N 2) (+.f64 -1/2 (*.f64 N 1/3))) (log.f64 N)))
(/.f64 1 N)
(-.f64 (/.f64 1 N) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (/.f64 1 N) (/.f64 1/2 (pow.f64 N 2)))
(+.f64 (/.f64 1 N) (/.f64 -1/2 (pow.f64 N 2)))
(-.f64 (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 N 3))) (/.f64 1 N)) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (-.f64 (/.f64 1 N) (/.f64 1/2 (pow.f64 N 2))))
(+.f64 (/.f64 1 N) (+.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 -1/2 (pow.f64 N 2))))
(+.f64 (+.f64 (/.f64 1 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 (/.f64 1 N) (/.f64 1/3 (pow.f64 N 3))) (+.f64 (/.f64 1/2 (pow.f64 N 2)) (/.f64 1/4 (pow.f64 N 4))))
(+.f64 (/.f64 1 N) (-.f64 (/.f64 1/3 (pow.f64 N 3)) (+.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 1 N) (+.f64 (/.f64 1/3 (pow.f64 N 3)) (/.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 (/.f64 1 N) (/.f64 1/3 (pow.f64 N 3))) (+.f64 (/.f64 1/2 (pow.f64 N 2)) (/.f64 1/4 (pow.f64 N 4))))
(+.f64 (/.f64 1 N) (-.f64 (/.f64 1/3 (pow.f64 N 3)) (+.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 (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))
(+.f64 (-.f64 (log1p.f64 N) (log.f64 N)) (+.f64 (neg.f64 (log.f64 N)) (log.f64 N)))
(-.f64 (log1p.f64 N) (log.f64 N))
(+.f64 (-.f64 (log1p.f64 N) (log.f64 N)) (fma.f64 -1 (log.f64 N) (log.f64 N)))
(-.f64 (log1p.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 (log1p.f64 N) (log.f64 N))
(+.f64 (neg.f64 (log.f64 N)) (log1p.f64 N))
(-.f64 (log1p.f64 N) (log.f64 N))
(+.f64 0 (-.f64 (log1p.f64 N) (log.f64 N)))
(-.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 3 (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 2 (log.f64 (sqrt.f64 (/.f64 (+.f64 N 1) N))))
(*.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 1)
(-.f64 (log1p.f64 N) (log.f64 N))
(*.f64 (-.f64 (log1p.f64 N) (log.f64 N)) (log.f64 (E.f64)))
(-.f64 (log1p.f64 N) (log.f64 N))
(*.f64 1 (-.f64 (log1p.f64 N) (log.f64 N)))
(-.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 (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 (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) 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)))
(*.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 (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)))
(*.f64 (+.f64 (sqrt.f64 (log1p.f64 N)) (sqrt.f64 (log.f64 N))) (-.f64 (sqrt.f64 (log1p.f64 N)) (sqrt.f64 (log.f64 N))))
(-.f64 (log1p.f64 N) (log.f64 N))
(*.f64 (pow.f64 1 1/3) (-.f64 (log1p.f64 N) (log.f64 N)))
(-.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 (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 (log1p.f64 N) (log.f64 N))
(*.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 (cbrt.f64 (sqrt.f64 (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 3))) (cbrt.f64 (sqrt.f64 (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 3))))
(*.f64 (cbrt.f64 (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 3/2)) (cbrt.f64 (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 3/2)))
(pow.f64 (pow.f64 (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 3/2) 1/6) 4)
(*.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 (cbrt.f64 (cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N)))) (cbrt.f64 (pow.f64 (*.f64 (-.f64 (log1p.f64 N) (log.f64 N)) (cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N)))) 2)))
(*.f64 (cbrt.f64 (cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N)))) (cbrt.f64 (pow.f64 (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))) 4) 2)))
(*.f64 (cbrt.f64 (cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N)))) (cbrt.f64 (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))) 8)))
(*.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 (cbrt.f64 (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 5/2)) (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 (-.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)))
(/.f64 1 (/.f64 (+.f64 (log1p.f64 N) (log.f64 N)) (-.f64 (pow.f64 (log1p.f64 N) 2) (pow.f64 (log.f64 N) 2))))
(*.f64 (-.f64 (pow.f64 (log1p.f64 N) 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)))
(/.f64 (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 2) (-.f64 (log1p.f64 N) (log.f64 N)))
(-.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 (log1p.f64 N) (log.f64 N))
(/.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 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)))
(/.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 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)))
(/.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 (-.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)))
(/.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) 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)))
(/.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) 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)))
(/.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))))
(*.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)))
(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))
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(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))
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eval51.0ms (0.6%)

Compiler

Compiled 2244 to 881 computations (60.7% saved)

prune31.0ms (0.4%)

Pruning

14 alts after pruning (13 fresh and 1 done)

PrunedKeptTotal
New14113154
Fresh000
Picked011
Done000
Total14114155
Accuracy
99.6%
Counts
155 → 14
Alt Table
Click to see full alt table
StatusAccuracyProgram
21.9%
(fma.f64 (sqrt.f64 (log1p.f64 N)) (sqrt.f64 (log1p.f64 N)) (neg.f64 (log.f64 N)))
20.7%
(pow.f64 (E.f64) (log.f64 (-.f64 (log1p.f64 N) (log.f64 N))))
20.7%
(/.f64 (-.f64 (pow.f64 (log1p.f64 N) 2) (pow.f64 (log.f64 N) 2)) (+.f64 (log1p.f64 N) (log.f64 N)))
87.0%
(/.f64 1 N)
94.0%
(-.f64 (/.f64 1 N) (/.f64 1/2 (pow.f64 N 2)))
97.2%
(-.f64 (+.f64 (/.f64 1 N) (/.f64 1/3 (pow.f64 N 3))) (+.f64 (/.f64 1/2 (pow.f64 N 2)) (/.f64 1/4 (pow.f64 N 4))))
20.7%
(-.f64 (log1p.f64 N) (log.f64 N))
96.2%
(+.f64 (/.f64 1 N) (+.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 -1/2 (pow.f64 N 2))))
96.2%
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (-.f64 (/.f64 1 N) (/.f64 1/2 (pow.f64 N 2))))
21.7%
(*.f64 3 (log.f64 (cbrt.f64 (/.f64 (+.f64 N 1) N))))
22.3%
(*.f64 2 (log.f64 (sqrt.f64 (/.f64 (+.f64 N 1) N))))
23.4%
(log.f64 (/.f64 (+.f64 N 1) N))
20.7%
(expm1.f64 (log1p.f64 (-.f64 (log1p.f64 N) (log.f64 N))))
20.7%
(exp.f64 (log.f64 (-.f64 (log1p.f64 N) (log.f64 N))))
Compiler

Compiled 300 to 226 computations (24.7% saved)

localize297.0ms (3.4%)

Localize:

Found 14 expressions with local error:

NewAccuracyProgram
100.0%
(log.f64 (-.f64 (log1p.f64 N) (log.f64 N)))
94.7%
(pow.f64 (E.f64) (log.f64 (-.f64 (log1p.f64 N) (log.f64 N))))
20.7%
(-.f64 (log1p.f64 N) (log.f64 N))
99.9%
(+.f64 (/.f64 1 N) (+.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 -1/2 (pow.f64 N 2))))
99.8%
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 -1/2 (pow.f64 N 2)))
99.6%
(/.f64 -1/2 (pow.f64 N 2))
99.4%
(/.f64 1/3 (pow.f64 N 3))
100.0%
(/.f64 (+.f64 N 1) N)
99.9%
(sqrt.f64 (/.f64 (+.f64 N 1) N))
22.6%
(log.f64 (sqrt.f64 (/.f64 (+.f64 N 1) N)))
99.8%
(-.f64 (+.f64 (/.f64 1 N) (/.f64 1/3 (pow.f64 N 3))) (+.f64 (/.f64 1/2 (pow.f64 N 2)) (/.f64 1/4 (pow.f64 N 4))))
99.6%
(/.f64 1/2 (pow.f64 N 2))
99.6%
(/.f64 1/4 (pow.f64 N 4))
99.4%
(/.f64 1/3 (pow.f64 N 3))
Compiler

Compiled 192 to 134 computations (30.2% saved)

series39.0ms (0.5%)

Counts
13 → 88
Calls

39 calls:

TimeVariablePointExpression
3.0ms
N
@0
(log.f64 (sqrt.f64 (/.f64 (+.f64 N 1) N)))
3.0ms
N
@inf
(+.f64 (/.f64 1 N) (+.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 -1/2 (pow.f64 N 2))))
2.0ms
N
@0
(pow.f64 (E.f64) (log.f64 (-.f64 (log1p.f64 N) (log.f64 N))))
2.0ms
N
@-inf
(pow.f64 (E.f64) (log.f64 (-.f64 (log1p.f64 N) (log.f64 N))))
2.0ms
N
@0
(/.f64 -1/2 (pow.f64 N 2))

rewrite161.0ms (1.9%)

Algorithm
batch-egg-rewrite
Rules
300×fma-define
292×frac-times
288×log1p-expm1-u
288×expm1-log1p-u
268×add-exp-log
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
037369
1646341
Stop Event
node limit
Counts
13 → 461
Calls
Call 1
Inputs
(/.f64 1/3 (pow.f64 N 3))
(/.f64 1/4 (pow.f64 N 4))
(/.f64 1/2 (pow.f64 N 2))
(-.f64 (+.f64 (/.f64 1 N) (/.f64 1/3 (pow.f64 N 3))) (+.f64 (/.f64 1/2 (pow.f64 N 2)) (/.f64 1/4 (pow.f64 N 4))))
(log.f64 (sqrt.f64 (/.f64 (+.f64 N 1) N)))
(sqrt.f64 (/.f64 (+.f64 N 1) N))
(/.f64 (+.f64 N 1) N)
(/.f64 1/3 (pow.f64 N 3))
(/.f64 -1/2 (pow.f64 N 2))
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 -1/2 (pow.f64 N 2)))
(+.f64 (/.f64 1 N) (+.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 -1/2 (pow.f64 N 2))))
(pow.f64 (E.f64) (log.f64 (-.f64 (log1p.f64 N) (log.f64 N))))
(log.f64 (-.f64 (log1p.f64 N) (log.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)))
(pow.f64 (*.f64 1/3 (pow.f64 N -3)) 1)
(pow.f64 (/.f64 (cbrt.f64 1/3) N) 3)
(pow.f64 (/.f64 (sqrt.f64 1/3) (pow.f64 N 3/2)) 2)
(pow.f64 (pow.f64 (*.f64 1/3 (pow.f64 N -3)) 3) 1/3)
(pow.f64 (/.f64 (pow.f64 N 3) 1/3) -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 (pow.f64 (*.f64 1/3 (pow.f64 N -3)) 3))
(expm1.f64 (log1p.f64 (*.f64 1/3 (pow.f64 N -3))))
(log1p.f64 (expm1.f64 (*.f64 1/3 (pow.f64 N -3))))
(exp.f64 (log.f64 (*.f64 1/3 (pow.f64 N -3))))
(exp.f64 (*.f64 (log.f64 (*.f64 1/3 (pow.f64 N -3))) 1))
(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 1/4 (pow.f64 N -4)) 0)
(-.f64 (exp.f64 (log1p.f64 (*.f64 1/4 (pow.f64 N -4)))) 1)
(*.f64 1/4 (pow.f64 N -4))
(*.f64 (*.f64 1/2 (pow.f64 N -2)) (*.f64 1/2 (pow.f64 N -2)))
(*.f64 1 (*.f64 1/4 (pow.f64 N -4)))
(*.f64 (cbrt.f64 (/.f64 1/16 (pow.f64 N 8))) (cbrt.f64 (*.f64 1/4 (pow.f64 N -4))))
(pow.f64 (*.f64 1/4 (pow.f64 N -4)) 1)
(pow.f64 (*.f64 1/2 (pow.f64 N -2)) 2)
(pow.f64 (cbrt.f64 (*.f64 1/4 (pow.f64 N -4))) 3)
(pow.f64 (pow.f64 (*.f64 1/4 (pow.f64 N -4)) 3) 1/3)
(pow.f64 (/.f64 (pow.f64 N 4) 1/4) -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 (pow.f64 (*.f64 1/4 (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 1/4 (pow.f64 N -4) 0)
(fma.f64 (*.f64 1/2 (pow.f64 N -2)) (*.f64 1/2 (pow.f64 N -2)) 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 1/2 (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 -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 (sqrt.f64 (cbrt.f64 (/.f64 1/16 (pow.f64 N 8)))) (sqrt.f64 (cbrt.f64 (*.f64 1/4 (pow.f64 N -4)))))
(pow.f64 (*.f64 1/4 (pow.f64 N -4)) 1/2)
(pow.f64 (*.f64 1/2 (pow.f64 N -2)) 1)
(pow.f64 (cbrt.f64 (*.f64 1/2 (pow.f64 N -2))) 3)
(pow.f64 (/.f64 1/8 (pow.f64 N 6)) 1/3)
(pow.f64 (/.f64 (sqrt.f64 -1/2) N) 2)
(pow.f64 (/.f64 (pow.f64 N 2) 1/2) -1)
(pow.f64 (/.f64 (pow.f64 N 2) -1/2) -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 -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 N) (-.f64 (*.f64 1/3 (pow.f64 N -3)) (fma.f64 1/4 (pow.f64 N -4) (*.f64 1/2 (pow.f64 N -2)))))
(+.f64 (fma.f64 1/3 (pow.f64 N -3) (/.f64 1 N)) (neg.f64 (fma.f64 1/4 (pow.f64 N -4) (*.f64 1/2 (pow.f64 N -2)))))
(+.f64 (-.f64 (fma.f64 1/3 (pow.f64 N -3) (/.f64 1 N)) (fma.f64 1/4 (pow.f64 N -4) (*.f64 1/2 (pow.f64 N -2)))) 0)
(+.f64 (-.f64 (fma.f64 1/3 (pow.f64 N -3) (/.f64 1 N)) (fma.f64 1/4 (pow.f64 N -4) (*.f64 1/2 (pow.f64 N -2)))) (fma.f64 (neg.f64 (hypot.f64 (*.f64 1/2 (pow.f64 N -2)) (/.f64 (sqrt.f64 -1/2) N))) (hypot.f64 (*.f64 1/2 (pow.f64 N -2)) (/.f64 (sqrt.f64 -1/2) N)) (fma.f64 1/4 (pow.f64 N -4) (*.f64 1/2 (pow.f64 N -2)))))
(+.f64 (fma.f64 1 (fma.f64 1/3 (pow.f64 N -3) (/.f64 1 N)) (neg.f64 (*.f64 (fma.f64 1/4 (pow.f64 N -4) (*.f64 1/2 (pow.f64 N -2))) 1))) (fma.f64 (neg.f64 (fma.f64 1/4 (pow.f64 N -4) (*.f64 1/2 (pow.f64 N -2)))) 1 (*.f64 (fma.f64 1/4 (pow.f64 N -4) (*.f64 1/2 (pow.f64 N -2))) 1)))
(+.f64 (fma.f64 1 (fma.f64 1/3 (pow.f64 N -3) (/.f64 1 N)) (neg.f64 (*.f64 (cbrt.f64 (fma.f64 1/4 (pow.f64 N -4) (*.f64 1/2 (pow.f64 N -2)))) (pow.f64 (cbrt.f64 (fma.f64 1/4 (pow.f64 N -4) (*.f64 1/2 (pow.f64 N -2)))) 2)))) (fma.f64 (neg.f64 (cbrt.f64 (fma.f64 1/4 (pow.f64 N -4) (*.f64 1/2 (pow.f64 N -2))))) (pow.f64 (cbrt.f64 (fma.f64 1/4 (pow.f64 N -4) (*.f64 1/2 (pow.f64 N -2)))) 2) (*.f64 (cbrt.f64 (fma.f64 1/4 (pow.f64 N -4) (*.f64 1/2 (pow.f64 N -2)))) (pow.f64 (cbrt.f64 (fma.f64 1/4 (pow.f64 N -4) (*.f64 1/2 (pow.f64 N -2)))) 2))))
(+.f64 (fma.f64 (pow.f64 (cbrt.f64 (fma.f64 1/3 (pow.f64 N -3) (/.f64 1 N))) 2) (cbrt.f64 (fma.f64 1/3 (pow.f64 N -3) (/.f64 1 N))) (neg.f64 (*.f64 (fma.f64 1/4 (pow.f64 N -4) (*.f64 1/2 (pow.f64 N -2))) 1))) (fma.f64 (neg.f64 (fma.f64 1/4 (pow.f64 N -4) (*.f64 1/2 (pow.f64 N -2)))) 1 (*.f64 (fma.f64 1/4 (pow.f64 N -4) (*.f64 1/2 (pow.f64 N -2))) 1)))
(+.f64 (fma.f64 (pow.f64 (cbrt.f64 (fma.f64 1/3 (pow.f64 N -3) (/.f64 1 N))) 2) (cbrt.f64 (fma.f64 1/3 (pow.f64 N -3) (/.f64 1 N))) (neg.f64 (*.f64 (cbrt.f64 (fma.f64 1/4 (pow.f64 N -4) (*.f64 1/2 (pow.f64 N -2)))) (pow.f64 (cbrt.f64 (fma.f64 1/4 (pow.f64 N -4) (*.f64 1/2 (pow.f64 N -2)))) 2)))) (fma.f64 (neg.f64 (cbrt.f64 (fma.f64 1/4 (pow.f64 N -4) (*.f64 1/2 (pow.f64 N -2))))) (pow.f64 (cbrt.f64 (fma.f64 1/4 (pow.f64 N -4) (*.f64 1/2 (pow.f64 N -2)))) 2) (*.f64 (cbrt.f64 (fma.f64 1/4 (pow.f64 N -4) (*.f64 1/2 (pow.f64 N -2)))) (pow.f64 (cbrt.f64 (fma.f64 1/4 (pow.f64 N -4) (*.f64 1/2 (pow.f64 N -2)))) 2))))
(+.f64 (fma.f64 (sqrt.f64 (fma.f64 1/3 (pow.f64 N -3) (/.f64 1 N))) (sqrt.f64 (fma.f64 1/3 (pow.f64 N -3) (/.f64 1 N))) (neg.f64 (*.f64 (fma.f64 1/4 (pow.f64 N -4) (*.f64 1/2 (pow.f64 N -2))) 1))) (fma.f64 (neg.f64 (fma.f64 1/4 (pow.f64 N -4) (*.f64 1/2 (pow.f64 N -2)))) 1 (*.f64 (fma.f64 1/4 (pow.f64 N -4) (*.f64 1/2 (pow.f64 N -2))) 1)))
(+.f64 (fma.f64 (sqrt.f64 (fma.f64 1/3 (pow.f64 N -3) (/.f64 1 N))) (sqrt.f64 (fma.f64 1/3 (pow.f64 N -3) (/.f64 1 N))) (neg.f64 (*.f64 (cbrt.f64 (fma.f64 1/4 (pow.f64 N -4) (*.f64 1/2 (pow.f64 N -2)))) (pow.f64 (cbrt.f64 (fma.f64 1/4 (pow.f64 N -4) (*.f64 1/2 (pow.f64 N -2)))) 2)))) (fma.f64 (neg.f64 (cbrt.f64 (fma.f64 1/4 (pow.f64 N -4) (*.f64 1/2 (pow.f64 N -2))))) (pow.f64 (cbrt.f64 (fma.f64 1/4 (pow.f64 N -4) (*.f64 1/2 (pow.f64 N -2)))) 2) (*.f64 (cbrt.f64 (fma.f64 1/4 (pow.f64 N -4) (*.f64 1/2 (pow.f64 N -2)))) (pow.f64 (cbrt.f64 (fma.f64 1/4 (pow.f64 N -4) (*.f64 1/2 (pow.f64 N -2)))) 2))))
(*.f64 1 (-.f64 (fma.f64 1/3 (pow.f64 N -3) (/.f64 1 N)) (fma.f64 1/4 (pow.f64 N -4) (*.f64 1/2 (pow.f64 N -2)))))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 (fma.f64 1/3 (pow.f64 N -3) (/.f64 1 N)) (fma.f64 1/4 (pow.f64 N -4) (*.f64 1/2 (pow.f64 N -2))))) 2) (cbrt.f64 (-.f64 (fma.f64 1/3 (pow.f64 N -3) (/.f64 1 N)) (fma.f64 1/4 (pow.f64 N -4) (*.f64 1/2 (pow.f64 N -2))))))
(*.f64 (sqrt.f64 (-.f64 (fma.f64 1/3 (pow.f64 N -3) (/.f64 1 N)) (fma.f64 1/4 (pow.f64 N -4) (*.f64 1/2 (pow.f64 N -2))))) (sqrt.f64 (-.f64 (fma.f64 1/3 (pow.f64 N -3) (/.f64 1 N)) (fma.f64 1/4 (pow.f64 N -4) (*.f64 1/2 (pow.f64 N -2))))))
(/.f64 (-.f64 (pow.f64 (fma.f64 1/3 (pow.f64 N -3) (/.f64 1 N)) 3) (pow.f64 (fma.f64 1/4 (pow.f64 N -4) (*.f64 1/2 (pow.f64 N -2))) 3)) (+.f64 (pow.f64 (fma.f64 1/3 (pow.f64 N -3) (/.f64 1 N)) 2) (+.f64 (pow.f64 (fma.f64 1/4 (pow.f64 N -4) (*.f64 1/2 (pow.f64 N -2))) 2) (*.f64 (fma.f64 1/3 (pow.f64 N -3) (/.f64 1 N)) (fma.f64 1/4 (pow.f64 N -4) (*.f64 1/2 (pow.f64 N -2)))))))
(/.f64 (-.f64 (pow.f64 (fma.f64 1/3 (pow.f64 N -3) (/.f64 1 N)) 2) (pow.f64 (fma.f64 1/4 (pow.f64 N -4) (*.f64 1/2 (pow.f64 N -2))) 2)) (+.f64 (fma.f64 1/3 (pow.f64 N -3) (/.f64 1 N)) (fma.f64 1/4 (pow.f64 N -4) (*.f64 1/2 (pow.f64 N -2)))))
(/.f64 (-.f64 (*.f64 (+.f64 (pow.f64 N 3) (*.f64 N 1/3)) (pow.f64 N 6)) (*.f64 (pow.f64 N 4) (fma.f64 1/2 (pow.f64 N 4) (*.f64 (pow.f64 N 2) 1/4)))) (*.f64 (pow.f64 N 4) (pow.f64 N 6)))
(/.f64 (-.f64 (*.f64 (+.f64 (pow.f64 N 3) (*.f64 N 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 4) (+.f64 (/.f64 1/8 (pow.f64 N 6)) (pow.f64 (*.f64 1/4 (pow.f64 N -4)) 3)))) (*.f64 (pow.f64 N 4) (+.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 (pow.f64 N 3) (*.f64 N 1/3)) (-.f64 (*.f64 1/2 (pow.f64 N -2)) (*.f64 1/4 (pow.f64 N -4)))) (*.f64 (pow.f64 N 4) (-.f64 (*.f64 1/4 (pow.f64 N -4)) (/.f64 1/16 (pow.f64 N 8))))) (*.f64 (pow.f64 N 4) (-.f64 (*.f64 1/2 (pow.f64 N -2)) (*.f64 1/4 (pow.f64 N -4)))))
(/.f64 (-.f64 (*.f64 (+.f64 (pow.f64 N -3) (pow.f64 (*.f64 1/3 (pow.f64 N -3)) 3)) (pow.f64 N 6)) (*.f64 (+.f64 (pow.f64 N -2) (-.f64 (/.f64 1/9 (pow.f64 N 6)) (/.f64 1/3 (pow.f64 N 4)))) (fma.f64 1/2 (pow.f64 N 4) (*.f64 (pow.f64 N 2) 1/4)))) (*.f64 (+.f64 (pow.f64 N -2) (-.f64 (/.f64 1/9 (pow.f64 N 6)) (/.f64 1/3 (pow.f64 N 4)))) (pow.f64 N 6)))
(/.f64 (-.f64 (*.f64 (+.f64 (pow.f64 N -3) (pow.f64 (*.f64 1/3 (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 (pow.f64 N -2) (-.f64 (/.f64 1/9 (pow.f64 N 6)) (/.f64 1/3 (pow.f64 N 4)))) (+.f64 (/.f64 1/8 (pow.f64 N 6)) (pow.f64 (*.f64 1/4 (pow.f64 N -4)) 3)))) (*.f64 (+.f64 (pow.f64 N -2) (-.f64 (/.f64 1/9 (pow.f64 N 6)) (/.f64 1/3 (pow.f64 N 4)))) (+.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 (pow.f64 N -3) (pow.f64 (*.f64 1/3 (pow.f64 N -3)) 3)) (-.f64 (*.f64 1/2 (pow.f64 N -2)) (*.f64 1/4 (pow.f64 N -4)))) (*.f64 (+.f64 (pow.f64 N -2) (-.f64 (/.f64 1/9 (pow.f64 N 6)) (/.f64 1/3 (pow.f64 N 4)))) (-.f64 (*.f64 1/4 (pow.f64 N -4)) (/.f64 1/16 (pow.f64 N 8))))) (*.f64 (+.f64 (pow.f64 N -2) (-.f64 (/.f64 1/9 (pow.f64 N 6)) (/.f64 1/3 (pow.f64 N 4)))) (-.f64 (*.f64 1/2 (pow.f64 N -2)) (*.f64 1/4 (pow.f64 N -4)))))
(/.f64 (-.f64 (*.f64 (-.f64 (pow.f64 N -2) (/.f64 1/9 (pow.f64 N 6))) (pow.f64 N 6)) (*.f64 (-.f64 (/.f64 1 N) (*.f64 1/3 (pow.f64 N -3))) (fma.f64 1/2 (pow.f64 N 4) (*.f64 (pow.f64 N 2) 1/4)))) (*.f64 (-.f64 (/.f64 1 N) (*.f64 1/3 (pow.f64 N -3))) (pow.f64 N 6)))
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(pow.f64 (sqrt.f64 (log.f64 (-.f64 (log1p.f64 N) (log.f64 N)))) 2)
(sqrt.f64 (pow.f64 (log.f64 (-.f64 (log1p.f64 N) (log.f64 N))) 2))
(cbrt.f64 (pow.f64 (log.f64 (-.f64 (log1p.f64 N) (log.f64 N))) 3))
(expm1.f64 (log1p.f64 (log.f64 (-.f64 (log1p.f64 N) (log.f64 N)))))
(log1p.f64 (-.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 1))
(exp.f64 (log.f64 (log.f64 (-.f64 (log1p.f64 N) (log.f64 N)))))
(exp.f64 (*.f64 (log.f64 (log.f64 (-.f64 (log1p.f64 N) (log.f64 N)))) 1))
(fma.f64 1 (log.f64 (-.f64 (log1p.f64 N) (log.f64 N))) 0)
(fma.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)))) 0)
(fma.f64 (sqrt.f64 (log.f64 (-.f64 (log1p.f64 N) (log.f64 N)))) (sqrt.f64 (log.f64 (-.f64 (log1p.f64 N) (log.f64 N)))) 0)

simplify274.0ms (3.2%)

Algorithm
egg-herbie
Rules
1511×add0
460×sqr-pow
442×times-frac
414×*-commutative
390×sub-neg
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0122727911
1443727153
Stop Event
node limit
Counts
549 → 673
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 (*.f64 1/3 (/.f64 1 (pow.f64 N 3))) (/.f64 1 N)) (+.f64 (*.f64 1/2 (/.f64 1 (pow.f64 N 2))) (*.f64 1/4 (/.f64 1 (pow.f64 N 4)))))
(/.f64 1 N)
(-.f64 (/.f64 1 N) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 N 3))) (/.f64 1 N)) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 N 3))) (/.f64 1 N)) (+.f64 (*.f64 1/4 (/.f64 1 (pow.f64 N 4))) (*.f64 1/2 (/.f64 1 (pow.f64 N 2)))))
(/.f64 1 N)
(-.f64 (/.f64 1 N) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 N 3))) (/.f64 1 N)) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 N 3))) (/.f64 1 N)) (+.f64 (*.f64 1/4 (/.f64 1 (pow.f64 N 4))) (*.f64 1/2 (/.f64 1 (pow.f64 N 2)))))
(/.f64 1/2 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)))))
(/.f64 1 N)
(+.f64 1 (/.f64 1 N))
(+.f64 1 (/.f64 1 N))
(+.f64 1 (/.f64 1 N))
1
(+.f64 1 (/.f64 1 N))
(+.f64 1 (/.f64 1 N))
(+.f64 1 (/.f64 1 N))
1
(+.f64 1 (/.f64 1 N))
(+.f64 1 (/.f64 1 N))
(+.f64 1 (/.f64 1 N))
(/.f64 1/3 (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 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 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 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (*.f64 1/3 (/.f64 1 (pow.f64 N 3))) (*.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 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (*.f64 1/3 (/.f64 1 (pow.f64 N 3))) (*.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))))
(pow.f64 (neg.f64 (log.f64 N)) (log.f64 (E.f64)))
(+.f64 (*.f64 -1 (/.f64 (*.f64 N (*.f64 (log.f64 (E.f64)) (pow.f64 (neg.f64 (log.f64 N)) (log.f64 (E.f64))))) (log.f64 N))) (pow.f64 (neg.f64 (log.f64 N)) (log.f64 (E.f64))))
(+.f64 (*.f64 -1 (/.f64 (*.f64 N (*.f64 (log.f64 (E.f64)) (pow.f64 (neg.f64 (log.f64 N)) (log.f64 (E.f64))))) (log.f64 N))) (+.f64 (*.f64 (pow.f64 N 2) (*.f64 (+.f64 (*.f64 1/2 (*.f64 (log.f64 (E.f64)) (-.f64 (/.f64 1 (log.f64 N)) (/.f64 1 (pow.f64 (log.f64 N) 2))))) (*.f64 1/2 (/.f64 (pow.f64 (log.f64 (E.f64)) 2) (pow.f64 (log.f64 N) 2)))) (pow.f64 (neg.f64 (log.f64 N)) (log.f64 (E.f64))))) (pow.f64 (neg.f64 (log.f64 N)) (log.f64 (E.f64)))))
(+.f64 (*.f64 -1 (/.f64 (*.f64 N (*.f64 (log.f64 (E.f64)) (pow.f64 (neg.f64 (log.f64 N)) (log.f64 (E.f64))))) (log.f64 N))) (+.f64 (*.f64 (pow.f64 N 2) (*.f64 (+.f64 (*.f64 1/2 (*.f64 (log.f64 (E.f64)) (-.f64 (/.f64 1 (log.f64 N)) (/.f64 1 (pow.f64 (log.f64 N) 2))))) (*.f64 1/2 (/.f64 (pow.f64 (log.f64 (E.f64)) 2) (pow.f64 (log.f64 N) 2)))) (pow.f64 (neg.f64 (log.f64 N)) (log.f64 (E.f64))))) (+.f64 (*.f64 (pow.f64 N 3) (*.f64 (+.f64 (*.f64 -1/2 (/.f64 (*.f64 (pow.f64 (log.f64 (E.f64)) 2) (-.f64 (/.f64 1 (log.f64 N)) (/.f64 1 (pow.f64 (log.f64 N) 2)))) (log.f64 N))) (+.f64 (*.f64 -1/6 (/.f64 (pow.f64 (log.f64 (E.f64)) 3) (pow.f64 (log.f64 N) 3))) (*.f64 1/6 (*.f64 (log.f64 (E.f64)) (-.f64 (*.f64 3 (/.f64 1 (pow.f64 (log.f64 N) 2))) (+.f64 (*.f64 2 (/.f64 1 (log.f64 N))) (*.f64 2 (/.f64 1 (pow.f64 (log.f64 N) 3))))))))) (pow.f64 (neg.f64 (log.f64 N)) (log.f64 (E.f64))))) (pow.f64 (neg.f64 (log.f64 N)) (log.f64 (E.f64))))))
(pow.f64 (E.f64) (log.f64 (/.f64 1 N)))
(+.f64 (*.f64 -1/2 (/.f64 (*.f64 (log.f64 (E.f64)) (pow.f64 (E.f64) (log.f64 (/.f64 1 N)))) N)) (pow.f64 (E.f64) (log.f64 (/.f64 1 N))))
(+.f64 (*.f64 -1/2 (/.f64 (*.f64 (log.f64 (E.f64)) (pow.f64 (E.f64) (log.f64 (/.f64 1 N)))) N)) (+.f64 (/.f64 (*.f64 (+.f64 (*.f64 1/8 (pow.f64 (log.f64 (E.f64)) 2)) (*.f64 5/24 (log.f64 (E.f64)))) (pow.f64 (E.f64) (log.f64 (/.f64 1 N)))) (pow.f64 N 2)) (pow.f64 (E.f64) (log.f64 (/.f64 1 N)))))
(+.f64 (*.f64 -1/2 (/.f64 (*.f64 (log.f64 (E.f64)) (pow.f64 (E.f64) (log.f64 (/.f64 1 N)))) N)) (+.f64 (/.f64 (*.f64 (+.f64 (*.f64 -1/8 (log.f64 (E.f64))) (+.f64 (*.f64 -5/48 (pow.f64 (log.f64 (E.f64)) 2)) (*.f64 -1/48 (pow.f64 (log.f64 (E.f64)) 3)))) (pow.f64 (E.f64) (log.f64 (/.f64 1 N)))) (pow.f64 N 3)) (+.f64 (/.f64 (*.f64 (+.f64 (*.f64 1/8 (pow.f64 (log.f64 (E.f64)) 2)) (*.f64 5/24 (log.f64 (E.f64)))) (pow.f64 (E.f64) (log.f64 (/.f64 1 N)))) (pow.f64 N 2)) (pow.f64 (E.f64) (log.f64 (/.f64 1 N))))))
(exp.f64 (*.f64 (log.f64 (E.f64)) (+.f64 (log.f64 -1) (log.f64 (/.f64 -1 N)))))
(+.f64 (exp.f64 (*.f64 (log.f64 (E.f64)) (+.f64 (log.f64 -1) (log.f64 (/.f64 -1 N))))) (*.f64 -1/2 (/.f64 (*.f64 (exp.f64 (*.f64 (log.f64 (E.f64)) (+.f64 (log.f64 -1) (log.f64 (/.f64 -1 N))))) (log.f64 (E.f64))) N)))
(+.f64 (exp.f64 (*.f64 (log.f64 (E.f64)) (+.f64 (log.f64 -1) (log.f64 (/.f64 -1 N))))) (+.f64 (*.f64 -1/2 (/.f64 (*.f64 (exp.f64 (*.f64 (log.f64 (E.f64)) (+.f64 (log.f64 -1) (log.f64 (/.f64 -1 N))))) (log.f64 (E.f64))) N)) (/.f64 (*.f64 (exp.f64 (*.f64 (log.f64 (E.f64)) (+.f64 (log.f64 -1) (log.f64 (/.f64 -1 N))))) (+.f64 (*.f64 1/8 (pow.f64 (log.f64 (E.f64)) 2)) (*.f64 5/24 (log.f64 (E.f64))))) (pow.f64 N 2))))
(+.f64 (exp.f64 (*.f64 (log.f64 (E.f64)) (+.f64 (log.f64 -1) (log.f64 (/.f64 -1 N))))) (+.f64 (*.f64 -1 (/.f64 (*.f64 (exp.f64 (*.f64 (log.f64 (E.f64)) (+.f64 (log.f64 -1) (log.f64 (/.f64 -1 N))))) (+.f64 (*.f64 1/48 (pow.f64 (log.f64 (E.f64)) 3)) (+.f64 (*.f64 5/48 (pow.f64 (log.f64 (E.f64)) 2)) (*.f64 1/8 (log.f64 (E.f64)))))) (pow.f64 N 3))) (+.f64 (*.f64 -1/2 (/.f64 (*.f64 (exp.f64 (*.f64 (log.f64 (E.f64)) (+.f64 (log.f64 -1) (log.f64 (/.f64 -1 N))))) (log.f64 (E.f64))) N)) (/.f64 (*.f64 (exp.f64 (*.f64 (log.f64 (E.f64)) (+.f64 (log.f64 -1) (log.f64 (/.f64 -1 N))))) (+.f64 (*.f64 1/8 (pow.f64 (log.f64 (E.f64)) 2)) (*.f64 5/24 (log.f64 (E.f64))))) (pow.f64 N 2)))))
(log.f64 (neg.f64 (log.f64 N)))
(+.f64 (log.f64 (neg.f64 (log.f64 N))) (*.f64 -1 (/.f64 N (log.f64 N))))
(+.f64 (log.f64 (neg.f64 (log.f64 N))) (+.f64 (*.f64 -1 (/.f64 N (log.f64 N))) (*.f64 1/2 (*.f64 (pow.f64 N 2) (-.f64 (/.f64 1 (log.f64 N)) (/.f64 1 (pow.f64 (log.f64 N) 2)))))))
(+.f64 (log.f64 (neg.f64 (log.f64 N))) (+.f64 (*.f64 -1 (/.f64 N (log.f64 N))) (+.f64 (*.f64 1/6 (*.f64 (pow.f64 N 3) (-.f64 (*.f64 3 (/.f64 1 (pow.f64 (log.f64 N) 2))) (+.f64 (*.f64 2 (/.f64 1 (log.f64 N))) (*.f64 2 (/.f64 1 (pow.f64 (log.f64 N) 3))))))) (*.f64 1/2 (*.f64 (pow.f64 N 2) (-.f64 (/.f64 1 (log.f64 N)) (/.f64 1 (pow.f64 (log.f64 N) 2))))))))
(log.f64 (/.f64 1 N))
(-.f64 (log.f64 (/.f64 1 N)) (*.f64 1/2 (/.f64 1 N)))
(-.f64 (+.f64 (log.f64 (/.f64 1 N)) (*.f64 5/24 (/.f64 1 (pow.f64 N 2)))) (*.f64 1/2 (/.f64 1 N)))
(-.f64 (+.f64 (log.f64 (/.f64 1 N)) (*.f64 5/24 (/.f64 1 (pow.f64 N 2)))) (+.f64 (*.f64 1/8 (/.f64 1 (pow.f64 N 3))) (*.f64 1/2 (/.f64 1 N))))
(+.f64 (log.f64 -1) (log.f64 (/.f64 -1 N)))
(-.f64 (+.f64 (log.f64 -1) (log.f64 (/.f64 -1 N))) (*.f64 1/2 (/.f64 1 N)))
(-.f64 (+.f64 (log.f64 -1) (+.f64 (log.f64 (/.f64 -1 N)) (*.f64 5/24 (/.f64 1 (pow.f64 N 2))))) (*.f64 1/2 (/.f64 1 N)))
(-.f64 (+.f64 (log.f64 -1) (+.f64 (log.f64 (/.f64 -1 N)) (*.f64 5/24 (/.f64 1 (pow.f64 N 2))))) (+.f64 (*.f64 1/8 (/.f64 1 (pow.f64 N 3))) (*.f64 1/2 (/.f64 1 N))))
(+.f64 (*.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)))
(pow.f64 (*.f64 1/3 (pow.f64 N -3)) 1)
(pow.f64 (/.f64 (cbrt.f64 1/3) N) 3)
(pow.f64 (/.f64 (sqrt.f64 1/3) (pow.f64 N 3/2)) 2)
(pow.f64 (pow.f64 (*.f64 1/3 (pow.f64 N -3)) 3) 1/3)
(pow.f64 (/.f64 (pow.f64 N 3) 1/3) -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 (pow.f64 (*.f64 1/3 (pow.f64 N -3)) 3))
(expm1.f64 (log1p.f64 (*.f64 1/3 (pow.f64 N -3))))
(log1p.f64 (expm1.f64 (*.f64 1/3 (pow.f64 N -3))))
(exp.f64 (log.f64 (*.f64 1/3 (pow.f64 N -3))))
(exp.f64 (*.f64 (log.f64 (*.f64 1/3 (pow.f64 N -3))) 1))
(fma.f64 1/3 (pow.f64 N -3) 0)
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(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 1/4 (pow.f64 N -4)) 0)
(-.f64 (exp.f64 (log1p.f64 (*.f64 1/4 (pow.f64 N -4)))) 1)
(*.f64 1/4 (pow.f64 N -4))
(*.f64 (*.f64 1/2 (pow.f64 N -2)) (*.f64 1/2 (pow.f64 N -2)))
(*.f64 1 (*.f64 1/4 (pow.f64 N -4)))
(*.f64 (cbrt.f64 (/.f64 1/16 (pow.f64 N 8))) (cbrt.f64 (*.f64 1/4 (pow.f64 N -4))))
(pow.f64 (*.f64 1/4 (pow.f64 N -4)) 1)
(pow.f64 (*.f64 1/2 (pow.f64 N -2)) 2)
(pow.f64 (cbrt.f64 (*.f64 1/4 (pow.f64 N -4))) 3)
(pow.f64 (pow.f64 (*.f64 1/4 (pow.f64 N -4)) 3) 1/3)
(pow.f64 (/.f64 (pow.f64 N 4) 1/4) -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 (pow.f64 (*.f64 1/4 (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))))
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(exp.f64 (*.f64 (log.f64 (*.f64 1/4 (pow.f64 N -4))) 1))
(fma.f64 1/4 (pow.f64 N -4) 0)
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(fma.f64 1 (*.f64 1/4 (pow.f64 N -4)) 0)
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(+.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 -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 (sqrt.f64 (cbrt.f64 (/.f64 1/16 (pow.f64 N 8)))) (sqrt.f64 (cbrt.f64 (*.f64 1/4 (pow.f64 N -4)))))
(pow.f64 (*.f64 1/4 (pow.f64 N -4)) 1/2)
(pow.f64 (*.f64 1/2 (pow.f64 N -2)) 1)
(pow.f64 (cbrt.f64 (*.f64 1/2 (pow.f64 N -2))) 3)
(pow.f64 (/.f64 1/8 (pow.f64 N 6)) 1/3)
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(pow.f64 (/.f64 (pow.f64 N 2) 1/2) -1)
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(fma.f64 (cbrt.f64 (pow.f64 N -2)) (/.f64 1 (cbrt.f64 N)) (fma.f64 1/3 (pow.f64 N -3) (*.f64 1/2 (pow.f64 N -2))))
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 1/3 (pow.f64 N -3) (*.f64 1/2 (pow.f64 N -2)))) 2) (cbrt.f64 (fma.f64 1/3 (pow.f64 N -3) (*.f64 1/2 (pow.f64 N -2)))) (/.f64 1 N))
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 1 N) (fma.f64 1/3 (pow.f64 N -3) (*.f64 1/2 (pow.f64 N -2))))) 2) (cbrt.f64 (+.f64 (/.f64 1 N) (fma.f64 1/3 (pow.f64 N -3) (*.f64 1/2 (pow.f64 N -2))))) 0)
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 1/3 (pow.f64 N -3) (/.f64 1 N))) 2) (cbrt.f64 (fma.f64 1/3 (pow.f64 N -3) (/.f64 1 N))) (*.f64 1/2 (pow.f64 N -2)))
(fma.f64 (pow.f64 N -1/2) (pow.f64 N -1/2) (fma.f64 1/3 (pow.f64 N -3) (*.f64 1/2 (pow.f64 N -2))))
(fma.f64 (sqrt.f64 (fma.f64 1/3 (pow.f64 N -3) (*.f64 1/2 (pow.f64 N -2)))) (sqrt.f64 (fma.f64 1/3 (pow.f64 N -3) (*.f64 1/2 (pow.f64 N -2)))) (/.f64 1 N))
(fma.f64 (hypot.f64 (sqrt.f64 (fma.f64 1/3 (pow.f64 N -3) (/.f64 1 N))) (/.f64 (sqrt.f64 -1/2) N)) (hypot.f64 (sqrt.f64 (fma.f64 1/3 (pow.f64 N -3) (/.f64 1 N))) (/.f64 (sqrt.f64 -1/2) N)) 0)
(fma.f64 (sqrt.f64 (fma.f64 1/3 (pow.f64 N -3) (/.f64 1 N))) (sqrt.f64 (fma.f64 1/3 (pow.f64 N -3) (/.f64 1 N))) (*.f64 1/2 (pow.f64 N -2)))
(+.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 (-.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 0 (-.f64 (log1p.f64 N) (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)) (pow.f64 (cbrt.f64 (log.f64 N)) 2)))) (fma.f64 (neg.f64 (cbrt.f64 (log.f64 N))) (pow.f64 (cbrt.f64 (log.f64 N)) 2) (*.f64 (cbrt.f64 (log.f64 N)) (pow.f64 (cbrt.f64 (log.f64 N)) 2))))
(+.f64 (fma.f64 (pow.f64 (cbrt.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 (pow.f64 (cbrt.f64 (log1p.f64 N)) 2) (cbrt.f64 (log1p.f64 N)) (neg.f64 (*.f64 (cbrt.f64 (log.f64 N)) (pow.f64 (cbrt.f64 (log.f64 N)) 2)))) (fma.f64 (neg.f64 (cbrt.f64 (log.f64 N))) (pow.f64 (cbrt.f64 (log.f64 N)) 2) (*.f64 (cbrt.f64 (log.f64 N)) (pow.f64 (cbrt.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)) (pow.f64 (cbrt.f64 (log.f64 N)) 2)))) (fma.f64 (neg.f64 (cbrt.f64 (log.f64 N))) (pow.f64 (cbrt.f64 (log.f64 N)) 2) (*.f64 (cbrt.f64 (log.f64 N)) (pow.f64 (cbrt.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 (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 (log1p.f64 N) (log.f64 N)))
(*.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 1)
(*.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 (pow.f64 1 (log.f64 (-.f64 (log1p.f64 N) (log.f64 N)))) (-.f64 (log1p.f64 N) (log.f64 N)))
(*.f64 (pow.f64 (cbrt.f64 (exp.f64 2)) (log.f64 (-.f64 (log1p.f64 N) (log.f64 N)))) (pow.f64 (cbrt.f64 (E.f64)) (log.f64 (-.f64 (log1p.f64 N) (log.f64 N)))))
(*.f64 (pow.f64 (sqrt.f64 (E.f64)) (log.f64 (-.f64 (log1p.f64 N) (log.f64 N)))) (pow.f64 (sqrt.f64 (E.f64)) (log.f64 (-.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 (log1p.f64 N) 2) (pow.f64 (log.f64 N) 2)) (+.f64 (log1p.f64 N) (log.f64 N)))
(/.f64 (neg.f64 (-.f64 (pow.f64 (log1p.f64 N) 3) (pow.f64 (log.f64 N) 3))) (neg.f64 (+.f64 (pow.f64 (log1p.f64 N) 2) (+.f64 (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 (-.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))))
(neg.f64 (log.f64 (/.f64 N (+.f64 N 1))))
(sqrt.f64 (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 2))
(log.f64 (/.f64 (+.f64 N 1) N))
(log.f64 (+.f64 1 (-.f64 (/.f64 (+.f64 N 1) N) 1)))
(cbrt.f64 (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 3))
(expm1.f64 (log1p.f64 (-.f64 (log1p.f64 N) (log.f64 N))))
(log1p.f64 (-.f64 (/.f64 (+.f64 N 1) N) 1))
(exp.f64 (log.f64 (-.f64 (log1p.f64 N) (log.f64 N))))
(fma.f64 1 (log1p.f64 N) (neg.f64 (log.f64 N)))
(fma.f64 1 (-.f64 (log1p.f64 N) (log.f64 N)) 0)
(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 (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)
(+.f64 (log.f64 (-.f64 (log1p.f64 N) (log.f64 N))) 0)
(+.f64 0 (log.f64 (-.f64 (log1p.f64 N) (log.f64 N))))
(+.f64 (log.f64 (sqrt.f64 (-.f64 (log1p.f64 N) (log.f64 N)))) (log.f64 (sqrt.f64 (-.f64 (log1p.f64 N) (log.f64 N)))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))) 2)) (log.f64 (cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N)))))
(-.f64 (exp.f64 (log1p.f64 (log.f64 (-.f64 (log1p.f64 N) (log.f64 N))))) 1)
(-.f64 (log.f64 (-.f64 (pow.f64 (log1p.f64 N) 3) (pow.f64 (log.f64 N) 3))) (log.f64 (+.f64 (pow.f64 (log1p.f64 N) 2) (+.f64 (pow.f64 (log.f64 N) 2) (*.f64 (log1p.f64 N) (log.f64 N))))))
(-.f64 (log.f64 (-.f64 (pow.f64 (log1p.f64 N) 2) (pow.f64 (log.f64 N) 2))) (log.f64 (+.f64 (log1p.f64 N) (log.f64 N))))
(*.f64 1 (log.f64 (-.f64 (log1p.f64 N) (log.f64 N))))
(*.f64 (log.f64 (-.f64 (log1p.f64 N) (log.f64 N))) 1)
(*.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 (sqrt.f64 (log.f64 (-.f64 (log1p.f64 N) (log.f64 N)))) (sqrt.f64 (log.f64 (-.f64 (log1p.f64 N) (log.f64 N)))))
(/.f64 (+.f64 (pow.f64 (log.f64 (-.f64 (log1p.f64 N) (log.f64 N))) 3) 0) (+.f64 (pow.f64 (log.f64 (-.f64 (log1p.f64 N) (log.f64 N))) 2) (-.f64 0 (*.f64 (log.f64 (-.f64 (log1p.f64 N) (log.f64 N))) 0))))
(pow.f64 (log.f64 (-.f64 (log1p.f64 N) (log.f64 N))) 1)
(pow.f64 (cbrt.f64 (log.f64 (-.f64 (log1p.f64 N) (log.f64 N)))) 3)
(pow.f64 (pow.f64 (log.f64 (-.f64 (log1p.f64 N) (log.f64 N))) 3) 1/3)
(pow.f64 (sqrt.f64 (log.f64 (-.f64 (log1p.f64 N) (log.f64 N)))) 2)
(sqrt.f64 (pow.f64 (log.f64 (-.f64 (log1p.f64 N) (log.f64 N))) 2))
(cbrt.f64 (pow.f64 (log.f64 (-.f64 (log1p.f64 N) (log.f64 N))) 3))
(expm1.f64 (log1p.f64 (log.f64 (-.f64 (log1p.f64 N) (log.f64 N)))))
(log1p.f64 (-.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 1))
(exp.f64 (log.f64 (log.f64 (-.f64 (log1p.f64 N) (log.f64 N)))))
(exp.f64 (*.f64 (log.f64 (log.f64 (-.f64 (log1p.f64 N) (log.f64 N)))) 1))
(fma.f64 1 (log.f64 (-.f64 (log1p.f64 N) (log.f64 N))) 0)
(fma.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)))) 0)
(fma.f64 (sqrt.f64 (log.f64 (-.f64 (log1p.f64 N) (log.f64 N)))) (sqrt.f64 (log.f64 (-.f64 (log1p.f64 N) (log.f64 N)))) 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 (/.f64 1 (pow.f64 N 3))) (/.f64 1 N)) (+.f64 (*.f64 1/2 (/.f64 1 (pow.f64 N 2))) (*.f64 1/4 (/.f64 1 (pow.f64 N 4)))))
(-.f64 (+.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 1 N)) (+.f64 (/.f64 1/4 (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 1/4 (pow.f64 N 4)) (/.f64 1/2 (pow.f64 N 2)))))
(/.f64 1 N)
(-.f64 (/.f64 1 N) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (/.f64 1 N) (/.f64 1/2 (pow.f64 N 2)))
(-.f64 (+.f64 (*.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 1/3 (/.f64 1 (pow.f64 N 3))) (/.f64 1 N)) (+.f64 (*.f64 1/4 (/.f64 1 (pow.f64 N 4))) (*.f64 1/2 (/.f64 1 (pow.f64 N 2)))))
(-.f64 (+.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 1 N)) (+.f64 (/.f64 1/4 (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 1/4 (pow.f64 N 4)) (/.f64 1/2 (pow.f64 N 2)))))
(/.f64 1 N)
(-.f64 (/.f64 1 N) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (/.f64 1 N) (/.f64 1/2 (pow.f64 N 2)))
(-.f64 (+.f64 (*.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 1/3 (/.f64 1 (pow.f64 N 3))) (/.f64 1 N)) (+.f64 (*.f64 1/4 (/.f64 1 (pow.f64 N 4))) (*.f64 1/2 (/.f64 1 (pow.f64 N 2)))))
(-.f64 (+.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 1 N)) (+.f64 (/.f64 1/4 (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 1/4 (pow.f64 N 4)) (/.f64 1/2 (pow.f64 N 2)))))
(/.f64 1/2 N)
(-.f64 (*.f64 1/2 (/.f64 1 N)) (*.f64 1/4 (/.f64 1 (pow.f64 N 2))))
(-.f64 (/.f64 1/2 N) (/.f64 1/4 (pow.f64 N 2)))
(-.f64 (+.f64 (*.f64 1/6 (/.f64 1 (pow.f64 N 3))) (*.f64 1/2 (/.f64 1 N))) (*.f64 1/4 (/.f64 1 (pow.f64 N 2))))
(+.f64 (/.f64 1/6 (pow.f64 N 3)) (-.f64 (/.f64 1/2 N) (/.f64 1/4 (pow.f64 N 2))))
(-.f64 (+.f64 (*.f64 1/6 (/.f64 1 (pow.f64 N 3))) (*.f64 1/2 (/.f64 1 N))) (+.f64 (*.f64 1/8 (/.f64 1 (pow.f64 N 4))) (*.f64 1/4 (/.f64 1 (pow.f64 N 2)))))
(-.f64 (+.f64 (/.f64 1/2 N) (/.f64 1/6 (pow.f64 N 3))) (+.f64 (/.f64 1/4 (pow.f64 N 2)) (/.f64 1/8 (pow.f64 N 4))))
(+.f64 (/.f64 1/6 (pow.f64 N 3)) (-.f64 (/.f64 1/2 N) (+.f64 (/.f64 1/4 (pow.f64 N 2)) (/.f64 1/8 (pow.f64 N 4)))))
(log.f64 (pow.f64 (sqrt.f64 -1) 2))
(*.f64 2 (log.f64 (sqrt.f64 -1)))
(log.f64 -1)
(-.f64 (log.f64 (pow.f64 (sqrt.f64 -1) 2)) (*.f64 1/2 (/.f64 1 (*.f64 N (pow.f64 (sqrt.f64 -1) 2)))))
(-.f64 (*.f64 2 (log.f64 (sqrt.f64 -1))) (/.f64 1/2 (*.f64 N (pow.f64 (sqrt.f64 -1) 2))))
(-.f64 (log.f64 -1) (/.f64 1/2 (neg.f64 N)))
(-.f64 (log.f64 (pow.f64 (sqrt.f64 -1) 2)) (+.f64 (*.f64 1/4 (/.f64 1 (*.f64 (pow.f64 N 2) (pow.f64 (sqrt.f64 -1) 4)))) (*.f64 1/2 (/.f64 1 (*.f64 N (pow.f64 (sqrt.f64 -1) 2))))))
(-.f64 (*.f64 2 (log.f64 (sqrt.f64 -1))) (+.f64 (/.f64 1/2 (*.f64 N (pow.f64 (sqrt.f64 -1) 2))) (/.f64 1/4 (*.f64 (pow.f64 N 2) (pow.f64 (sqrt.f64 -1) 4)))))
(-.f64 (-.f64 (log.f64 -1) (/.f64 1/4 (pow.f64 N 2))) (/.f64 1/2 (neg.f64 N)))
(-.f64 (log.f64 (pow.f64 (sqrt.f64 -1) 2)) (+.f64 (*.f64 1/6 (/.f64 1 (*.f64 (pow.f64 N 3) (pow.f64 (sqrt.f64 -1) 6)))) (+.f64 (*.f64 1/4 (/.f64 1 (*.f64 (pow.f64 N 2) (pow.f64 (sqrt.f64 -1) 4)))) (*.f64 1/2 (/.f64 1 (*.f64 N (pow.f64 (sqrt.f64 -1) 2)))))))
(-.f64 (*.f64 2 (log.f64 (sqrt.f64 -1))) (+.f64 (+.f64 (/.f64 1/2 (*.f64 N (pow.f64 (sqrt.f64 -1) 2))) (/.f64 1/4 (*.f64 (pow.f64 N 2) (pow.f64 (sqrt.f64 -1) 4)))) (/.f64 1/6 (*.f64 (pow.f64 N 3) (pow.f64 (sqrt.f64 -1) 6)))))
(-.f64 (log.f64 -1) (+.f64 (+.f64 (/.f64 1/6 (*.f64 (pow.f64 N 3) (pow.f64 (sqrt.f64 -1) 6))) (/.f64 1/4 (pow.f64 N 2))) (/.f64 1/2 (neg.f64 N))))
1
(+.f64 1 (*.f64 1/2 (/.f64 1 N)))
(+.f64 1 (/.f64 1/2 N))
(-.f64 (+.f64 1 (*.f64 1/2 (/.f64 1 N))) (*.f64 1/8 (/.f64 1 (pow.f64 N 2))))
(+.f64 1 (-.f64 (/.f64 1/2 N) (/.f64 1/8 (pow.f64 N 2))))
(-.f64 (+.f64 1 (/.f64 1/2 N)) (/.f64 1/8 (pow.f64 N 2)))
(-.f64 (+.f64 1 (+.f64 (*.f64 1/16 (/.f64 1 (pow.f64 N 3))) (*.f64 1/2 (/.f64 1 N)))) (*.f64 1/8 (/.f64 1 (pow.f64 N 2))))
(-.f64 (+.f64 1 (+.f64 (/.f64 1/2 N) (/.f64 1/16 (pow.f64 N 3)))) (/.f64 1/8 (pow.f64 N 2)))
(+.f64 1 (-.f64 (+.f64 (/.f64 1/2 N) (/.f64 1/16 (pow.f64 N 3))) (/.f64 1/8 (pow.f64 N 2))))
(pow.f64 (sqrt.f64 -1) 2)
-1
(-.f64 (pow.f64 (sqrt.f64 -1) 2) (*.f64 1/2 (/.f64 1 N)))
(-.f64 (pow.f64 (sqrt.f64 -1) 2) (/.f64 1/2 N))
(-.f64 -1 (/.f64 1/2 N))
(-.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 1/2 N) (/.f64 1/8 (*.f64 (pow.f64 N 2) (pow.f64 (sqrt.f64 -1) 2)))))
(-.f64 -1 (+.f64 (/.f64 1/2 N) (/.f64 1/8 (neg.f64 (pow.f64 N 2)))))
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(-.f64 0 (log.f64 (/.f64 N (+.f64 N 1))))
(neg.f64 (-.f64 (log.f64 N) (log1p.f64 N)))
(-.f64 (exp.f64 (log1p.f64 (-.f64 (log1p.f64 N) (log.f64 N)))) 1)
(expm1.f64 (log1p.f64 (-.f64 (log1p.f64 N) (log.f64 N))))
(-.f64 (log.f64 (neg.f64 (+.f64 N 1))) (log.f64 (neg.f64 N)))
(-.f64 (log.f64 (+.f64 (neg.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) 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) 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 (-.f64 (log1p.f64 N) (log.f64 N)) 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 (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 (pow.f64 1 (log.f64 (-.f64 (log1p.f64 N) (log.f64 N)))) (-.f64 (log1p.f64 N) (log.f64 N)))
(-.f64 (log1p.f64 N) (log.f64 N))
(*.f64 (pow.f64 (cbrt.f64 (exp.f64 2)) (log.f64 (-.f64 (log1p.f64 N) (log.f64 N)))) (pow.f64 (cbrt.f64 (E.f64)) (log.f64 (-.f64 (log1p.f64 N) (log.f64 N)))))
(*.f64 (pow.f64 (sqrt.f64 (E.f64)) (log.f64 (-.f64 (log1p.f64 N) (log.f64 N)))) (pow.f64 (sqrt.f64 (E.f64)) (log.f64 (-.f64 (log1p.f64 N) (log.f64 N)))))
(pow.f64 (sqrt.f64 (E.f64)) (*.f64 2 (log.f64 (-.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 (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) 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 (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 (pow.f64 (log.f64 N) 2) (*.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))))
(neg.f64 (/.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 (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 (-.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))
(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 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))
(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 (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 (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))
(+.f64 (log.f64 (-.f64 (log1p.f64 N) (log.f64 N))) 0)
(log.f64 (-.f64 (log1p.f64 N) (log.f64 N)))
(+.f64 0 (log.f64 (-.f64 (log1p.f64 N) (log.f64 N))))
(log.f64 (-.f64 (log1p.f64 N) (log.f64 N)))
(+.f64 (log.f64 (sqrt.f64 (-.f64 (log1p.f64 N) (log.f64 N)))) (log.f64 (sqrt.f64 (-.f64 (log1p.f64 N) (log.f64 N)))))
(log.f64 (-.f64 (log1p.f64 N) (log.f64 N)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))) 2)) (log.f64 (cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N)))))
(+.f64 (*.f64 2 (log.f64 (cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))))) (log.f64 (cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N)))))
(-.f64 (exp.f64 (log1p.f64 (log.f64 (-.f64 (log1p.f64 N) (log.f64 N))))) 1)
(expm1.f64 (log1p.f64 (log.f64 (-.f64 (log1p.f64 N) (log.f64 N)))))
(-.f64 (log.f64 (-.f64 (pow.f64 (log1p.f64 N) 3) (pow.f64 (log.f64 N) 3))) (log.f64 (+.f64 (pow.f64 (log1p.f64 N) 2) (+.f64 (pow.f64 (log.f64 N) 2) (*.f64 (log1p.f64 N) (log.f64 N))))))
(-.f64 (log.f64 (-.f64 (pow.f64 (log1p.f64 N) 3) (pow.f64 (log.f64 N) 3))) (log.f64 (+.f64 (pow.f64 (log1p.f64 N) 2) (+.f64 (pow.f64 (log.f64 N) 2) (*.f64 (log.f64 N) (log1p.f64 N))))))
(-.f64 (log.f64 (-.f64 (pow.f64 (log1p.f64 N) 2) (pow.f64 (log.f64 N) 2))) (log.f64 (+.f64 (log1p.f64 N) (log.f64 N))))
(-.f64 (log.f64 (-.f64 (pow.f64 (log1p.f64 N) 2) (pow.f64 (log.f64 N) 2))) (log.f64 (+.f64 (log.f64 N) (log1p.f64 N))))
(*.f64 1 (log.f64 (-.f64 (log1p.f64 N) (log.f64 N))))
(log.f64 (-.f64 (log1p.f64 N) (log.f64 N)))
(*.f64 (log.f64 (-.f64 (log1p.f64 N) (log.f64 N))) 1)
(log.f64 (-.f64 (log1p.f64 N) (log.f64 N)))
(*.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)))))
(log.f64 (-.f64 (log1p.f64 N) (log.f64 N)))
(*.f64 (sqrt.f64 (log.f64 (-.f64 (log1p.f64 N) (log.f64 N)))) (sqrt.f64 (log.f64 (-.f64 (log1p.f64 N) (log.f64 N)))))
(log.f64 (-.f64 (log1p.f64 N) (log.f64 N)))
(/.f64 (+.f64 (pow.f64 (log.f64 (-.f64 (log1p.f64 N) (log.f64 N))) 3) 0) (+.f64 (pow.f64 (log.f64 (-.f64 (log1p.f64 N) (log.f64 N))) 2) (-.f64 0 (*.f64 (log.f64 (-.f64 (log1p.f64 N) (log.f64 N))) 0))))
(/.f64 (pow.f64 (log.f64 (-.f64 (log1p.f64 N) (log.f64 N))) 3) (pow.f64 (log.f64 (-.f64 (log1p.f64 N) (log.f64 N))) 2))
(pow.f64 (log.f64 (-.f64 (log1p.f64 N) (log.f64 N))) 1)
(log.f64 (-.f64 (log1p.f64 N) (log.f64 N)))
(pow.f64 (cbrt.f64 (log.f64 (-.f64 (log1p.f64 N) (log.f64 N)))) 3)
(log.f64 (-.f64 (log1p.f64 N) (log.f64 N)))
(pow.f64 (pow.f64 (log.f64 (-.f64 (log1p.f64 N) (log.f64 N))) 3) 1/3)
(log.f64 (-.f64 (log1p.f64 N) (log.f64 N)))
(pow.f64 (sqrt.f64 (log.f64 (-.f64 (log1p.f64 N) (log.f64 N)))) 2)
(log.f64 (-.f64 (log1p.f64 N) (log.f64 N)))
(sqrt.f64 (pow.f64 (log.f64 (-.f64 (log1p.f64 N) (log.f64 N))) 2))
(fabs.f64 (log.f64 (-.f64 (log1p.f64 N) (log.f64 N))))
(cbrt.f64 (pow.f64 (log.f64 (-.f64 (log1p.f64 N) (log.f64 N))) 3))
(log.f64 (-.f64 (log1p.f64 N) (log.f64 N)))
(expm1.f64 (log1p.f64 (log.f64 (-.f64 (log1p.f64 N) (log.f64 N)))))
(log1p.f64 (-.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 1))
(log1p.f64 (+.f64 (-.f64 (log1p.f64 N) (log.f64 N)) -1))
(log1p.f64 (-.f64 (log1p.f64 N) (+.f64 (log.f64 N) 1)))
(exp.f64 (log.f64 (log.f64 (-.f64 (log1p.f64 N) (log.f64 N)))))
(log.f64 (-.f64 (log1p.f64 N) (log.f64 N)))
(exp.f64 (*.f64 (log.f64 (log.f64 (-.f64 (log1p.f64 N) (log.f64 N)))) 1))
(log.f64 (-.f64 (log1p.f64 N) (log.f64 N)))
(fma.f64 1 (log.f64 (-.f64 (log1p.f64 N) (log.f64 N))) 0)
(log.f64 (-.f64 (log1p.f64 N) (log.f64 N)))
(fma.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)))) 0)
(log.f64 (-.f64 (log1p.f64 N) (log.f64 N)))
(fma.f64 (sqrt.f64 (log.f64 (-.f64 (log1p.f64 N) (log.f64 N)))) (sqrt.f64 (log.f64 (-.f64 (log1p.f64 N) (log.f64 N)))) 0)
(log.f64 (-.f64 (log1p.f64 N) (log.f64 N)))

eval421.0ms (4.9%)

Compiler

Compiled 20452 to 14522 computations (29% saved)

prune152.0ms (1.8%)

Pruning

28 alts after pruning (22 fresh and 6 done)

PrunedKeptTotal
New83615851
Fresh178
Picked055
Done011
Total83728865
Accuracy
99.8%
Counts
865 → 28
Alt Table
Click to see full alt table
StatusAccuracyProgram
96.6%
(fma.f64 (pow.f64 N -1/2) (pow.f64 N -1/2) (-.f64 (*.f64 1/3 (pow.f64 N -3)) (fma.f64 1/4 (pow.f64 N -4) (*.f64 1/2 (pow.f64 N -2)))))
21.9%
(fma.f64 (sqrt.f64 (log1p.f64 N)) (sqrt.f64 (log1p.f64 N)) (neg.f64 (log.f64 N)))
91.5%
(pow.f64 (pow.f64 (-.f64 (fma.f64 1/3 (pow.f64 N -3) (/.f64 1 N)) (fma.f64 1/4 (pow.f64 N -4) (*.f64 1/2 (pow.f64 N -2)))) 3) 1/3)
96.7%
(pow.f64 (sqrt.f64 (-.f64 (fma.f64 1/3 (pow.f64 N -3) (/.f64 1 N)) (fma.f64 1/4 (pow.f64 N -4) (*.f64 1/2 (pow.f64 N -2))))) 2)
85.1%
(pow.f64 (cbrt.f64 (+.f64 (/.f64 1 N) (fma.f64 1/3 (pow.f64 N -3) (*.f64 1/2 (pow.f64 N -2))))) 3)
91.2%
(pow.f64 (E.f64) (-.f64 (-.f64 (/.f64 5/24 (pow.f64 N 2)) (log.f64 N)) (/.f64 1/2 N)))
89.2%
(pow.f64 (E.f64) (-.f64 (neg.f64 (log.f64 N)) (/.f64 1/2 N)))
20.7%
(pow.f64 (E.f64) (log.f64 (-.f64 (log1p.f64 N) (log.f64 N))))
23.3%
(pow.f64 (E.f64) (log.f64 (log.f64 (/.f64 (+.f64 N 1) N))))
20.7%
(pow.f64 (E.f64) (cbrt.f64 (pow.f64 (log.f64 (-.f64 (log1p.f64 N) (log.f64 N))) 3)))
95.7%
(/.f64 (fma.f64 (+.f64 (pow.f64 N 3) (*.f64 N 1/3)) (pow.f64 N 2) (*.f64 (pow.f64 N 4) -1/2)) (pow.f64 N 6))
20.7%
(/.f64 (-.f64 (pow.f64 (log1p.f64 N) 2) (pow.f64 (log.f64 N) 2)) (+.f64 (log1p.f64 N) (log.f64 N)))
95.9%
(/.f64 (+.f64 (*.f64 (fma.f64 1/3 (pow.f64 N 2) (*.f64 (pow.f64 N 3) -1/2)) N) (*.f64 (pow.f64 N 5) 1)) (*.f64 (pow.f64 N 5) N))
95.7%
(/.f64 (+.f64 (*.f64 (-.f64 (pow.f64 N -2) (/.f64 1/9 (pow.f64 N 6))) (pow.f64 N 2)) (*.f64 (-.f64 (/.f64 1 N) (*.f64 1/3 (pow.f64 N -3))) -1/2)) (*.f64 (-.f64 (/.f64 1 N) (*.f64 1/3 (pow.f64 N -3))) (pow.f64 N 2)))
95.7%
(/.f64 (+.f64 (*.f64 (+.f64 (pow.f64 N 3) (*.f64 N 1/3)) (pow.f64 N 2)) (*.f64 (pow.f64 N 4) -1/2)) (pow.f64 N 6))
87.0%
(/.f64 1 N)
94.0%
(-.f64 (/.f64 1 N) (/.f64 1/2 (pow.f64 N 2)))
97.2%
(-.f64 (+.f64 (/.f64 1 N) (/.f64 1/3 (pow.f64 N 3))) (+.f64 (/.f64 1/2 (pow.f64 N 2)) (/.f64 1/4 (pow.f64 N 4))))
20.7%
(-.f64 (log1p.f64 N) (log.f64 N))
96.2%
(+.f64 (/.f64 1 N) (+.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 -1/2 (pow.f64 N 2))))
96.2%
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (-.f64 (/.f64 1 N) (/.f64 1/2 (pow.f64 N 2))))
21.7%
(*.f64 2 (+.f64 (log.f64 (cbrt.f64 (/.f64 (+.f64 N 1) N))) (log.f64 (cbrt.f64 (sqrt.f64 (/.f64 (+.f64 N 1) N))))))
16.6%
(*.f64 2 (log.f64 (+.f64 1 (/.f64 1/2 N))))
22.3%
(*.f64 2 (log.f64 (sqrt.f64 (/.f64 (+.f64 N 1) N))))
23.8%
(neg.f64 (log.f64 (/.f64 N (+.f64 N 1))))
23.4%
(log.f64 (/.f64 (+.f64 N 1) N))
20.7%
(expm1.f64 (log1p.f64 (-.f64 (log1p.f64 N) (log.f64 N))))
20.7%
(exp.f64 (log.f64 (-.f64 (log1p.f64 N) (log.f64 N))))
Compiler

Compiled 779 to 609 computations (21.8% saved)

localize359.0ms (4.2%)

Localize:

Found 16 expressions with local error:

NewAccuracyProgram
99.8%
(sqrt.f64 (log1p.f64 N))
22.2%
(fma.f64 (sqrt.f64 (log1p.f64 N)) (sqrt.f64 (log1p.f64 N)) (neg.f64 (log.f64 N)))
99.9%
(+.f64 (*.f64 (+.f64 (pow.f64 N 3) (*.f64 N 1/3)) (pow.f64 N 2)) (*.f64 (pow.f64 N 4) -1/2))
99.5%
(/.f64 (+.f64 (*.f64 (+.f64 (pow.f64 N 3) (*.f64 N 1/3)) (pow.f64 N 2)) (*.f64 (pow.f64 N 4) -1/2)) (pow.f64 N 6))
99.5%
(*.f64 N 1/3)
99.4%
(*.f64 (+.f64 (pow.f64 N 3) (*.f64 N 1/3)) (pow.f64 N 2))
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)))
99.6%
(/.f64 1/2 (pow.f64 N 2))
99.4%
(/.f64 1/3 (pow.f64 N 3))
100.0%
(/.f64 (+.f64 N 1) N)
23.3%
(log.f64 (/.f64 (+.f64 N 1) N))
99.9%
(fma.f64 1/4 (pow.f64 N -4) (*.f64 1/2 (pow.f64 N -2)))
99.8%
(-.f64 (fma.f64 1/3 (pow.f64 N -3) (/.f64 1 N)) (fma.f64 1/4 (pow.f64 N -4) (*.f64 1/2 (pow.f64 N -2))))
99.8%
(sqrt.f64 (-.f64 (fma.f64 1/3 (pow.f64 N -3) (/.f64 1 N)) (fma.f64 1/4 (pow.f64 N -4) (*.f64 1/2 (pow.f64 N -2)))))
99.3%
(pow.f64 (sqrt.f64 (-.f64 (fma.f64 1/3 (pow.f64 N -3) (/.f64 1 N)) (fma.f64 1/4 (pow.f64 N -4) (*.f64 1/2 (pow.f64 N -2))))) 2)
Compiler

Compiled 276 to 200 computations (27.5% saved)

series34.0ms (0.4%)

Counts
13 → 136
Calls

39 calls:

TimeVariablePointExpression
4.0ms
N
@inf
(sqrt.f64 (log1p.f64 N))
2.0ms
N
@-inf
(sqrt.f64 (log1p.f64 N))
2.0ms
N
@0
(pow.f64 (sqrt.f64 (-.f64 (fma.f64 1/3 (pow.f64 N -3) (/.f64 1 N)) (fma.f64 1/4 (pow.f64 N -4) (*.f64 1/2 (pow.f64 N -2))))) 2)
1.0ms
N
@inf
(-.f64 (/.f64 1 N) (/.f64 1/2 (pow.f64 N 2)))
1.0ms
N
@-inf
(*.f64 (+.f64 (pow.f64 N 3) (*.f64 N 1/3)) (pow.f64 N 2))

rewrite145.0ms (1.7%)

Algorithm
batch-egg-rewrite
Rules
356×fma-define
345×log1p-expm1-u
345×expm1-log1p-u
325×pow1
320×add-exp-log
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
051548
1835532
Stop Event
node limit
Counts
13 → 346
Calls
Call 1
Inputs
(pow.f64 (sqrt.f64 (-.f64 (fma.f64 1/3 (pow.f64 N -3) (/.f64 1 N)) (fma.f64 1/4 (pow.f64 N -4) (*.f64 1/2 (pow.f64 N -2))))) 2)
(sqrt.f64 (-.f64 (fma.f64 1/3 (pow.f64 N -3) (/.f64 1 N)) (fma.f64 1/4 (pow.f64 N -4) (*.f64 1/2 (pow.f64 N -2)))))
(-.f64 (fma.f64 1/3 (pow.f64 N -3) (/.f64 1 N)) (fma.f64 1/4 (pow.f64 N -4) (*.f64 1/2 (pow.f64 N -2))))
(fma.f64 1/4 (pow.f64 N -4) (*.f64 1/2 (pow.f64 N -2)))
(log.f64 (/.f64 (+.f64 N 1) N))
(-.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 (+.f64 (pow.f64 N 3) (*.f64 N 1/3)) (pow.f64 N 2))
(*.f64 N 1/3)
(/.f64 (+.f64 (*.f64 (+.f64 (pow.f64 N 3) (*.f64 N 1/3)) (pow.f64 N 2)) (*.f64 (pow.f64 N 4) -1/2)) (pow.f64 N 6))
(+.f64 (*.f64 (+.f64 (pow.f64 N 3) (*.f64 N 1/3)) (pow.f64 N 2)) (*.f64 (pow.f64 N 4) -1/2))
(fma.f64 (sqrt.f64 (log1p.f64 N)) (sqrt.f64 (log1p.f64 N)) (neg.f64 (log.f64 N)))
(sqrt.f64 (log1p.f64 N))
Outputs
(+.f64 (fma.f64 1/3 (pow.f64 N -3) (/.f64 1 N)) (neg.f64 (fma.f64 1/4 (pow.f64 N -4) (*.f64 1/2 (pow.f64 N -2)))))
(+.f64 (-.f64 (fma.f64 1/3 (pow.f64 N -3) (/.f64 1 N)) (fma.f64 1/4 (pow.f64 N -4) (*.f64 1/2 (pow.f64 N -2)))) 0)
(+.f64 (-.f64 (fma.f64 1/3 (pow.f64 N -3) (/.f64 1 N)) (fma.f64 1/4 (pow.f64 N -4) (*.f64 1/2 (pow.f64 N -2)))) (fma.f64 (neg.f64 (sqrt.f64 (fma.f64 1/4 (pow.f64 N -4) (*.f64 1/2 (pow.f64 N -2))))) (sqrt.f64 (fma.f64 1/4 (pow.f64 N -4) (*.f64 1/2 (pow.f64 N -2)))) (fma.f64 1/4 (pow.f64 N -4) (*.f64 1/2 (pow.f64 N -2)))))
(+.f64 (fma.f64 1 (fma.f64 1/3 (pow.f64 N -3) (/.f64 1 N)) (neg.f64 (*.f64 (fma.f64 1/4 (pow.f64 N -4) (*.f64 1/2 (pow.f64 N -2))) 1))) (fma.f64 (neg.f64 (fma.f64 1/4 (pow.f64 N -4) (*.f64 1/2 (pow.f64 N -2)))) 1 (*.f64 (fma.f64 1/4 (pow.f64 N -4) (*.f64 1/2 (pow.f64 N -2))) 1)))
(+.f64 (fma.f64 1 (fma.f64 1/3 (pow.f64 N -3) (/.f64 1 N)) (neg.f64 (*.f64 (cbrt.f64 (fma.f64 1/4 (pow.f64 N -4) (*.f64 1/2 (pow.f64 N -2)))) (cbrt.f64 (pow.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))))) (cbrt.f64 (pow.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)))) (cbrt.f64 (pow.f64 (fma.f64 1/4 (pow.f64 N -4) (*.f64 1/2 (pow.f64 N -2))) 2)))))
(+.f64 (fma.f64 (pow.f64 (cbrt.f64 (fma.f64 1/3 (pow.f64 N -3) (/.f64 1 N))) 2) (cbrt.f64 (fma.f64 1/3 (pow.f64 N -3) (/.f64 1 N))) (neg.f64 (*.f64 (fma.f64 1/4 (pow.f64 N -4) (*.f64 1/2 (pow.f64 N -2))) 1))) (fma.f64 (neg.f64 (fma.f64 1/4 (pow.f64 N -4) (*.f64 1/2 (pow.f64 N -2)))) 1 (*.f64 (fma.f64 1/4 (pow.f64 N -4) (*.f64 1/2 (pow.f64 N -2))) 1)))
(+.f64 (fma.f64 (pow.f64 (cbrt.f64 (fma.f64 1/3 (pow.f64 N -3) (/.f64 1 N))) 2) (cbrt.f64 (fma.f64 1/3 (pow.f64 N -3) (/.f64 1 N))) (neg.f64 (*.f64 (cbrt.f64 (fma.f64 1/4 (pow.f64 N -4) (*.f64 1/2 (pow.f64 N -2)))) (cbrt.f64 (pow.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))))) (cbrt.f64 (pow.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)))) (cbrt.f64 (pow.f64 (fma.f64 1/4 (pow.f64 N -4) (*.f64 1/2 (pow.f64 N -2))) 2)))))
(+.f64 (fma.f64 (sqrt.f64 (fma.f64 1/3 (pow.f64 N -3) (/.f64 1 N))) (sqrt.f64 (fma.f64 1/3 (pow.f64 N -3) (/.f64 1 N))) (neg.f64 (*.f64 (fma.f64 1/4 (pow.f64 N -4) (*.f64 1/2 (pow.f64 N -2))) 1))) (fma.f64 (neg.f64 (fma.f64 1/4 (pow.f64 N -4) (*.f64 1/2 (pow.f64 N -2)))) 1 (*.f64 (fma.f64 1/4 (pow.f64 N -4) (*.f64 1/2 (pow.f64 N -2))) 1)))
(+.f64 (fma.f64 (sqrt.f64 (fma.f64 1/3 (pow.f64 N -3) (/.f64 1 N))) (sqrt.f64 (fma.f64 1/3 (pow.f64 N -3) (/.f64 1 N))) (neg.f64 (*.f64 (cbrt.f64 (fma.f64 1/4 (pow.f64 N -4) (*.f64 1/2 (pow.f64 N -2)))) (cbrt.f64 (pow.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))))) (cbrt.f64 (pow.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)))) (cbrt.f64 (pow.f64 (fma.f64 1/4 (pow.f64 N -4) (*.f64 1/2 (pow.f64 N -2))) 2)))))
(-.f64 (fma.f64 1/3 (pow.f64 N -3) (/.f64 1 N)) (fma.f64 1/4 (pow.f64 N -4) (*.f64 1/2 (pow.f64 N -2))))
(-.f64 (exp.f64 (log1p.f64 (-.f64 (fma.f64 1/3 (pow.f64 N -3) (/.f64 1 N)) (fma.f64 1/4 (pow.f64 N -4) (*.f64 1/2 (pow.f64 N -2)))))) 1)
(*.f64 1 (-.f64 (fma.f64 1/3 (pow.f64 N -3) (/.f64 1 N)) (fma.f64 1/4 (pow.f64 N -4) (*.f64 1/2 (pow.f64 N -2)))))
(*.f64 (sqrt.f64 (-.f64 (fma.f64 1/3 (pow.f64 N -3) (/.f64 1 N)) (fma.f64 1/4 (pow.f64 N -4) (*.f64 1/2 (pow.f64 N -2))))) (sqrt.f64 (-.f64 (fma.f64 1/3 (pow.f64 N -3) (/.f64 1 N)) (fma.f64 1/4 (pow.f64 N -4) (*.f64 1/2 (pow.f64 N -2))))))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 (fma.f64 1/3 (pow.f64 N -3) (/.f64 1 N)) (fma.f64 1/4 (pow.f64 N -4) (*.f64 1/2 (pow.f64 N -2))))) 2) (cbrt.f64 (-.f64 (fma.f64 1/3 (pow.f64 N -3) (/.f64 1 N)) (fma.f64 1/4 (pow.f64 N -4) (*.f64 1/2 (pow.f64 N -2))))))
(/.f64 (-.f64 (pow.f64 (fma.f64 1/3 (pow.f64 N -3) (/.f64 1 N)) 2) (pow.f64 (fma.f64 1/4 (pow.f64 N -4) (*.f64 1/2 (pow.f64 N -2))) 2)) (+.f64 (fma.f64 1/3 (pow.f64 N -3) (/.f64 1 N)) (fma.f64 1/4 (pow.f64 N -4) (*.f64 1/2 (pow.f64 N -2)))))
(/.f64 (-.f64 (pow.f64 (fma.f64 1/3 (pow.f64 N -3) (/.f64 1 N)) 3) (pow.f64 (fma.f64 1/4 (pow.f64 N -4) (*.f64 1/2 (pow.f64 N -2))) 3)) (+.f64 (pow.f64 (fma.f64 1/3 (pow.f64 N -3) (/.f64 1 N)) 2) (+.f64 (pow.f64 (fma.f64 1/4 (pow.f64 N -4) (*.f64 1/2 (pow.f64 N -2))) 2) (*.f64 (fma.f64 1/3 (pow.f64 N -3) (/.f64 1 N)) (fma.f64 1/4 (pow.f64 N -4) (*.f64 1/2 (pow.f64 N -2)))))))
(log.f64 (exp.f64 (-.f64 (fma.f64 1/3 (pow.f64 N -3) (/.f64 1 N)) (fma.f64 1/4 (pow.f64 N -4) (*.f64 1/2 (pow.f64 N -2))))))
(log.f64 (+.f64 1 (expm1.f64 (-.f64 (fma.f64 1/3 (pow.f64 N -3) (/.f64 1 N)) (fma.f64 1/4 (pow.f64 N -4) (*.f64 1/2 (pow.f64 N -2)))))))
(cbrt.f64 (pow.f64 (-.f64 (fma.f64 1/3 (pow.f64 N -3) (/.f64 1 N)) (fma.f64 1/4 (pow.f64 N -4) (*.f64 1/2 (pow.f64 N -2)))) 3))
(cbrt.f64 (*.f64 (pow.f64 (-.f64 (fma.f64 1/3 (pow.f64 N -3) (/.f64 1 N)) (fma.f64 1/4 (pow.f64 N -4) (*.f64 1/2 (pow.f64 N -2)))) 3/2) (pow.f64 (-.f64 (fma.f64 1/3 (pow.f64 N -3) (/.f64 1 N)) (fma.f64 1/4 (pow.f64 N -4) (*.f64 1/2 (pow.f64 N -2)))) 3/2)))
(expm1.f64 (log1p.f64 (-.f64 (fma.f64 1/3 (pow.f64 N -3) (/.f64 1 N)) (fma.f64 1/4 (pow.f64 N -4) (*.f64 1/2 (pow.f64 N -2))))))
(log1p.f64 (expm1.f64 (-.f64 (fma.f64 1/3 (pow.f64 N -3) (/.f64 1 N)) (fma.f64 1/4 (pow.f64 N -4) (*.f64 1/2 (pow.f64 N -2))))))
(exp.f64 (log.f64 (-.f64 (fma.f64 1/3 (pow.f64 N -3) (/.f64 1 N)) (fma.f64 1/4 (pow.f64 N -4) (*.f64 1/2 (pow.f64 N -2))))))
(exp.f64 (*.f64 (log.f64 (-.f64 (fma.f64 1/3 (pow.f64 N -3) (/.f64 1 N)) (fma.f64 1/4 (pow.f64 N -4) (*.f64 1/2 (pow.f64 N -2))))) 1))
(fma.f64 1 (fma.f64 1/3 (pow.f64 N -3) (/.f64 1 N)) (neg.f64 (fma.f64 1/4 (pow.f64 N -4) (*.f64 1/2 (pow.f64 N -2)))))
(fma.f64 1 (-.f64 (fma.f64 1/3 (pow.f64 N -3) (/.f64 1 N)) (fma.f64 1/4 (pow.f64 N -4) (*.f64 1/2 (pow.f64 N -2)))) 0)
(fma.f64 (sqrt.f64 (-.f64 (fma.f64 1/3 (pow.f64 N -3) (/.f64 1 N)) (fma.f64 1/4 (pow.f64 N -4) (*.f64 1/2 (pow.f64 N -2))))) (sqrt.f64 (-.f64 (fma.f64 1/3 (pow.f64 N -3) (/.f64 1 N)) (fma.f64 1/4 (pow.f64 N -4) (*.f64 1/2 (pow.f64 N -2))))) 0)
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 1/3 (pow.f64 N -3) (/.f64 1 N))) 2) (cbrt.f64 (fma.f64 1/3 (pow.f64 N -3) (/.f64 1 N))) (neg.f64 (fma.f64 1/4 (pow.f64 N -4) (*.f64 1/2 (pow.f64 N -2)))))
(fma.f64 (pow.f64 (cbrt.f64 (-.f64 (fma.f64 1/3 (pow.f64 N -3) (/.f64 1 N)) (fma.f64 1/4 (pow.f64 N -4) (*.f64 1/2 (pow.f64 N -2))))) 2) (cbrt.f64 (-.f64 (fma.f64 1/3 (pow.f64 N -3) (/.f64 1 N)) (fma.f64 1/4 (pow.f64 N -4) (*.f64 1/2 (pow.f64 N -2))))) 0)
(fma.f64 (sqrt.f64 (fma.f64 1/3 (pow.f64 N -3) (/.f64 1 N))) (sqrt.f64 (fma.f64 1/3 (pow.f64 N -3) (/.f64 1 N))) (neg.f64 (fma.f64 1/4 (pow.f64 N -4) (*.f64 1/2 (pow.f64 N -2)))))
(+.f64 (sqrt.f64 (-.f64 (fma.f64 1/3 (pow.f64 N -3) (/.f64 1 N)) (fma.f64 1/4 (pow.f64 N -4) (*.f64 1/2 (pow.f64 N -2))))) 0)
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (-.f64 (fma.f64 1/3 (pow.f64 N -3) (/.f64 1 N)) (fma.f64 1/4 (pow.f64 N -4) (*.f64 1/2 (pow.f64 N -2))))))) 1)
(*.f64 1 (sqrt.f64 (-.f64 (fma.f64 1/3 (pow.f64 N -3) (/.f64 1 N)) (fma.f64 1/4 (pow.f64 N -4) (*.f64 1/2 (pow.f64 N -2))))))
(*.f64 (cbrt.f64 (-.f64 (fma.f64 1/3 (pow.f64 N -3) (/.f64 1 N)) (fma.f64 1/4 (pow.f64 N -4) (*.f64 1/2 (pow.f64 N -2))))) (cbrt.f64 (sqrt.f64 (-.f64 (fma.f64 1/3 (pow.f64 N -3) (/.f64 1 N)) (fma.f64 1/4 (pow.f64 N -4) (*.f64 1/2 (pow.f64 N -2)))))))
(*.f64 (sqrt.f64 (sqrt.f64 (-.f64 (fma.f64 1/3 (pow.f64 N -3) (/.f64 1 N)) (fma.f64 1/4 (pow.f64 N -4) (*.f64 1/2 (pow.f64 N -2)))))) (sqrt.f64 (sqrt.f64 (-.f64 (fma.f64 1/3 (pow.f64 N -3) (/.f64 1 N)) (fma.f64 1/4 (pow.f64 N -4) (*.f64 1/2 (pow.f64 N -2)))))))
(*.f64 (pow.f64 1 1/2) (sqrt.f64 (-.f64 (fma.f64 1/3 (pow.f64 N -3) (/.f64 1 N)) (fma.f64 1/4 (pow.f64 N -4) (*.f64 1/2 (pow.f64 N -2))))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (-.f64 (fma.f64 1/3 (pow.f64 N -3) (/.f64 1 N)) (fma.f64 1/4 (pow.f64 N -4) (*.f64 1/2 (pow.f64 N -2))))) 2) 1/2) (pow.f64 (cbrt.f64 (-.f64 (fma.f64 1/3 (pow.f64 N -3) (/.f64 1 N)) (fma.f64 1/4 (pow.f64 N -4) (*.f64 1/2 (pow.f64 N -2))))) 1/2))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (-.f64 (fma.f64 1/3 (pow.f64 N -3) (/.f64 1 N)) (fma.f64 1/4 (pow.f64 N -4) (*.f64 1/2 (pow.f64 N -2))))) 2)) (sqrt.f64 (cbrt.f64 (-.f64 (fma.f64 1/3 (pow.f64 N -3) (/.f64 1 N)) (fma.f64 1/4 (pow.f64 N -4) (*.f64 1/2 (pow.f64 N -2)))))))
(/.f64 (sqrt.f64 (-.f64 (pow.f64 (fma.f64 1/3 (pow.f64 N -3) (/.f64 1 N)) 2) (pow.f64 (fma.f64 1/4 (pow.f64 N -4) (*.f64 1/2 (pow.f64 N -2))) 2))) (sqrt.f64 (+.f64 (fma.f64 1/3 (pow.f64 N -3) (/.f64 1 N)) (fma.f64 1/4 (pow.f64 N -4) (*.f64 1/2 (pow.f64 N -2))))))
(/.f64 (sqrt.f64 (-.f64 (pow.f64 (fma.f64 1/3 (pow.f64 N -3) (/.f64 1 N)) 3) (pow.f64 (fma.f64 1/4 (pow.f64 N -4) (*.f64 1/2 (pow.f64 N -2))) 3))) (sqrt.f64 (+.f64 (pow.f64 (fma.f64 1/3 (pow.f64 N -3) (/.f64 1 N)) 2) (+.f64 (pow.f64 (fma.f64 1/4 (pow.f64 N -4) (*.f64 1/2 (pow.f64 N -2))) 2) (*.f64 (fma.f64 1/3 (pow.f64 N -3) (/.f64 1 N)) (fma.f64 1/4 (pow.f64 N -4) (*.f64 1/2 (pow.f64 N -2))))))))
(pow.f64 (-.f64 (fma.f64 1/3 (pow.f64 N -3) (/.f64 1 N)) (fma.f64 1/4 (pow.f64 N -4) (*.f64 1/2 (pow.f64 N -2)))) 1/2)
(pow.f64 (sqrt.f64 (-.f64 (fma.f64 1/3 (pow.f64 N -3) (/.f64 1 N)) (fma.f64 1/4 (pow.f64 N -4) (*.f64 1/2 (pow.f64 N -2))))) 1)
(pow.f64 (cbrt.f64 (sqrt.f64 (-.f64 (fma.f64 1/3 (pow.f64 N -3) (/.f64 1 N)) (fma.f64 1/4 (pow.f64 N -4) (*.f64 1/2 (pow.f64 N -2)))))) 3)
(pow.f64 (pow.f64 (-.f64 (fma.f64 1/3 (pow.f64 N -3) (/.f64 1 N)) (fma.f64 1/4 (pow.f64 N -4) (*.f64 1/2 (pow.f64 N -2)))) 3/2) 1/3)
(pow.f64 (sqrt.f64 (sqrt.f64 (-.f64 (fma.f64 1/3 (pow.f64 N -3) (/.f64 1 N)) (fma.f64 1/4 (pow.f64 N -4) (*.f64 1/2 (pow.f64 N -2)))))) 2)
(log.f64 (exp.f64 (sqrt.f64 (-.f64 (fma.f64 1/3 (pow.f64 N -3) (/.f64 1 N)) (fma.f64 1/4 (pow.f64 N -4) (*.f64 1/2 (pow.f64 N -2)))))))
(log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (-.f64 (fma.f64 1/3 (pow.f64 N -3) (/.f64 1 N)) (fma.f64 1/4 (pow.f64 N -4) (*.f64 1/2 (pow.f64 N -2))))))))
(cbrt.f64 (pow.f64 (-.f64 (fma.f64 1/3 (pow.f64 N -3) (/.f64 1 N)) (fma.f64 1/4 (pow.f64 N -4) (*.f64 1/2 (pow.f64 N -2)))) 3/2))
(expm1.f64 (log1p.f64 (sqrt.f64 (-.f64 (fma.f64 1/3 (pow.f64 N -3) (/.f64 1 N)) (fma.f64 1/4 (pow.f64 N -4) (*.f64 1/2 (pow.f64 N -2)))))))
(log1p.f64 (expm1.f64 (sqrt.f64 (-.f64 (fma.f64 1/3 (pow.f64 N -3) (/.f64 1 N)) (fma.f64 1/4 (pow.f64 N -4) (*.f64 1/2 (pow.f64 N -2)))))))
(exp.f64 (log.f64 (sqrt.f64 (-.f64 (fma.f64 1/3 (pow.f64 N -3) (/.f64 1 N)) (fma.f64 1/4 (pow.f64 N -4) (*.f64 1/2 (pow.f64 N -2)))))))
(exp.f64 (*.f64 (log.f64 (-.f64 (fma.f64 1/3 (pow.f64 N -3) (/.f64 1 N)) (fma.f64 1/4 (pow.f64 N -4) (*.f64 1/2 (pow.f64 N -2))))) 1/2))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (-.f64 (fma.f64 1/3 (pow.f64 N -3) (/.f64 1 N)) (fma.f64 1/4 (pow.f64 N -4) (*.f64 1/2 (pow.f64 N -2)))))) 1))
(fma.f64 1 (sqrt.f64 (-.f64 (fma.f64 1/3 (pow.f64 N -3) (/.f64 1 N)) (fma.f64 1/4 (pow.f64 N -4) (*.f64 1/2 (pow.f64 N -2))))) 0)
(fma.f64 (cbrt.f64 (-.f64 (fma.f64 1/3 (pow.f64 N -3) (/.f64 1 N)) (fma.f64 1/4 (pow.f64 N -4) (*.f64 1/2 (pow.f64 N -2))))) (cbrt.f64 (sqrt.f64 (-.f64 (fma.f64 1/3 (pow.f64 N -3) (/.f64 1 N)) (fma.f64 1/4 (pow.f64 N -4) (*.f64 1/2 (pow.f64 N -2)))))) 0)
(fma.f64 (sqrt.f64 (sqrt.f64 (-.f64 (fma.f64 1/3 (pow.f64 N -3) (/.f64 1 N)) (fma.f64 1/4 (pow.f64 N -4) (*.f64 1/2 (pow.f64 N -2)))))) (sqrt.f64 (sqrt.f64 (-.f64 (fma.f64 1/3 (pow.f64 N -3) (/.f64 1 N)) (fma.f64 1/4 (pow.f64 N -4) (*.f64 1/2 (pow.f64 N -2)))))) 0)
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(+.f64 (-.f64 (fma.f64 1/3 (pow.f64 N -3) (/.f64 1 N)) (fma.f64 1/4 (pow.f64 N -4) (*.f64 1/2 (pow.f64 N -2)))) 0)
(+.f64 (-.f64 (fma.f64 1/3 (pow.f64 N -3) (/.f64 1 N)) (fma.f64 1/4 (pow.f64 N -4) (*.f64 1/2 (pow.f64 N -2)))) (fma.f64 (neg.f64 (sqrt.f64 (fma.f64 1/4 (pow.f64 N -4) (*.f64 1/2 (pow.f64 N -2))))) (sqrt.f64 (fma.f64 1/4 (pow.f64 N -4) (*.f64 1/2 (pow.f64 N -2)))) (fma.f64 1/4 (pow.f64 N -4) (*.f64 1/2 (pow.f64 N -2)))))
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(+.f64 (fma.f64 (pow.f64 (cbrt.f64 (fma.f64 1/3 (pow.f64 N -3) (/.f64 1 N))) 2) (cbrt.f64 (fma.f64 1/3 (pow.f64 N -3) (/.f64 1 N))) (neg.f64 (*.f64 (cbrt.f64 (fma.f64 1/4 (pow.f64 N -4) (*.f64 1/2 (pow.f64 N -2)))) (cbrt.f64 (pow.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))))) (cbrt.f64 (pow.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)))) (cbrt.f64 (pow.f64 (fma.f64 1/4 (pow.f64 N -4) (*.f64 1/2 (pow.f64 N -2))) 2)))))
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(*.f64 1 (-.f64 (fma.f64 1/3 (pow.f64 N -3) (/.f64 1 N)) (fma.f64 1/4 (pow.f64 N -4) (*.f64 1/2 (pow.f64 N -2)))))
(*.f64 (sqrt.f64 (-.f64 (fma.f64 1/3 (pow.f64 N -3) (/.f64 1 N)) (fma.f64 1/4 (pow.f64 N -4) (*.f64 1/2 (pow.f64 N -2))))) (sqrt.f64 (-.f64 (fma.f64 1/3 (pow.f64 N -3) (/.f64 1 N)) (fma.f64 1/4 (pow.f64 N -4) (*.f64 1/2 (pow.f64 N -2))))))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 (fma.f64 1/3 (pow.f64 N -3) (/.f64 1 N)) (fma.f64 1/4 (pow.f64 N -4) (*.f64 1/2 (pow.f64 N -2))))) 2) (cbrt.f64 (-.f64 (fma.f64 1/3 (pow.f64 N -3) (/.f64 1 N)) (fma.f64 1/4 (pow.f64 N -4) (*.f64 1/2 (pow.f64 N -2))))))
(/.f64 (-.f64 (pow.f64 (fma.f64 1/3 (pow.f64 N -3) (/.f64 1 N)) 2) (pow.f64 (fma.f64 1/4 (pow.f64 N -4) (*.f64 1/2 (pow.f64 N -2))) 2)) (+.f64 (fma.f64 1/3 (pow.f64 N -3) (/.f64 1 N)) (fma.f64 1/4 (pow.f64 N -4) (*.f64 1/2 (pow.f64 N -2)))))
(/.f64 (-.f64 (pow.f64 (fma.f64 1/3 (pow.f64 N -3) (/.f64 1 N)) 3) (pow.f64 (fma.f64 1/4 (pow.f64 N -4) (*.f64 1/2 (pow.f64 N -2))) 3)) (+.f64 (pow.f64 (fma.f64 1/3 (pow.f64 N -3) (/.f64 1 N)) 2) (+.f64 (pow.f64 (fma.f64 1/4 (pow.f64 N -4) (*.f64 1/2 (pow.f64 N -2))) 2) (*.f64 (fma.f64 1/3 (pow.f64 N -3) (/.f64 1 N)) (fma.f64 1/4 (pow.f64 N -4) (*.f64 1/2 (pow.f64 N -2)))))))
(pow.f64 (-.f64 (fma.f64 1/3 (pow.f64 N -3) (/.f64 1 N)) (fma.f64 1/4 (pow.f64 N -4) (*.f64 1/2 (pow.f64 N -2)))) 1)
(pow.f64 (sqrt.f64 (-.f64 (fma.f64 1/3 (pow.f64 N -3) (/.f64 1 N)) (fma.f64 1/4 (pow.f64 N -4) (*.f64 1/2 (pow.f64 N -2))))) 2)
(pow.f64 (cbrt.f64 (-.f64 (fma.f64 1/3 (pow.f64 N -3) (/.f64 1 N)) (fma.f64 1/4 (pow.f64 N -4) (*.f64 1/2 (pow.f64 N -2))))) 3)
(pow.f64 (pow.f64 (-.f64 (fma.f64 1/3 (pow.f64 N -3) (/.f64 1 N)) (fma.f64 1/4 (pow.f64 N -4) (*.f64 1/2 (pow.f64 N -2)))) 2) 1/2)
(pow.f64 (pow.f64 (-.f64 (fma.f64 1/3 (pow.f64 N -3) (/.f64 1 N)) (fma.f64 1/4 (pow.f64 N -4) (*.f64 1/2 (pow.f64 N -2)))) 3) 1/3)
(log.f64 (exp.f64 (-.f64 (fma.f64 1/3 (pow.f64 N -3) (/.f64 1 N)) (fma.f64 1/4 (pow.f64 N -4) (*.f64 1/2 (pow.f64 N -2))))))
(log.f64 (+.f64 1 (expm1.f64 (-.f64 (fma.f64 1/3 (pow.f64 N -3) (/.f64 1 N)) (fma.f64 1/4 (pow.f64 N -4) (*.f64 1/2 (pow.f64 N -2)))))))
(cbrt.f64 (pow.f64 (-.f64 (fma.f64 1/3 (pow.f64 N -3) (/.f64 1 N)) (fma.f64 1/4 (pow.f64 N -4) (*.f64 1/2 (pow.f64 N -2)))) 3))
(cbrt.f64 (*.f64 (pow.f64 (-.f64 (fma.f64 1/3 (pow.f64 N -3) (/.f64 1 N)) (fma.f64 1/4 (pow.f64 N -4) (*.f64 1/2 (pow.f64 N -2)))) 3/2) (pow.f64 (-.f64 (fma.f64 1/3 (pow.f64 N -3) (/.f64 1 N)) (fma.f64 1/4 (pow.f64 N -4) (*.f64 1/2 (pow.f64 N -2)))) 3/2)))
(expm1.f64 (log1p.f64 (-.f64 (fma.f64 1/3 (pow.f64 N -3) (/.f64 1 N)) (fma.f64 1/4 (pow.f64 N -4) (*.f64 1/2 (pow.f64 N -2))))))
(log1p.f64 (expm1.f64 (-.f64 (fma.f64 1/3 (pow.f64 N -3) (/.f64 1 N)) (fma.f64 1/4 (pow.f64 N -4) (*.f64 1/2 (pow.f64 N -2))))))
(exp.f64 (log.f64 (-.f64 (fma.f64 1/3 (pow.f64 N -3) (/.f64 1 N)) (fma.f64 1/4 (pow.f64 N -4) (*.f64 1/2 (pow.f64 N -2))))))
(exp.f64 (*.f64 (log.f64 (-.f64 (fma.f64 1/3 (pow.f64 N -3) (/.f64 1 N)) (fma.f64 1/4 (pow.f64 N -4) (*.f64 1/2 (pow.f64 N -2))))) 1))
(fma.f64 1 (fma.f64 1/3 (pow.f64 N -3) (/.f64 1 N)) (neg.f64 (fma.f64 1/4 (pow.f64 N -4) (*.f64 1/2 (pow.f64 N -2)))))
(fma.f64 1 (-.f64 (fma.f64 1/3 (pow.f64 N -3) (/.f64 1 N)) (fma.f64 1/4 (pow.f64 N -4) (*.f64 1/2 (pow.f64 N -2)))) 0)
(fma.f64 (sqrt.f64 (-.f64 (fma.f64 1/3 (pow.f64 N -3) (/.f64 1 N)) (fma.f64 1/4 (pow.f64 N -4) (*.f64 1/2 (pow.f64 N -2))))) (sqrt.f64 (-.f64 (fma.f64 1/3 (pow.f64 N -3) (/.f64 1 N)) (fma.f64 1/4 (pow.f64 N -4) (*.f64 1/2 (pow.f64 N -2))))) 0)
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 1/3 (pow.f64 N -3) (/.f64 1 N))) 2) (cbrt.f64 (fma.f64 1/3 (pow.f64 N -3) (/.f64 1 N))) (neg.f64 (fma.f64 1/4 (pow.f64 N -4) (*.f64 1/2 (pow.f64 N -2)))))
(fma.f64 (pow.f64 (cbrt.f64 (-.f64 (fma.f64 1/3 (pow.f64 N -3) (/.f64 1 N)) (fma.f64 1/4 (pow.f64 N -4) (*.f64 1/2 (pow.f64 N -2))))) 2) (cbrt.f64 (-.f64 (fma.f64 1/3 (pow.f64 N -3) (/.f64 1 N)) (fma.f64 1/4 (pow.f64 N -4) (*.f64 1/2 (pow.f64 N -2))))) 0)
(fma.f64 (sqrt.f64 (fma.f64 1/3 (pow.f64 N -3) (/.f64 1 N))) (sqrt.f64 (fma.f64 1/3 (pow.f64 N -3) (/.f64 1 N))) (neg.f64 (fma.f64 1/4 (pow.f64 N -4) (*.f64 1/2 (pow.f64 N -2)))))
(+.f64 (fma.f64 1/4 (pow.f64 N -4) (*.f64 1/2 (pow.f64 N -2))) 0)
(+.f64 (*.f64 1/4 (pow.f64 N -4)) (*.f64 1/2 (pow.f64 N -2)))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 1/4 (pow.f64 N -4) (*.f64 1/2 (pow.f64 N -2))))) 1)
(*.f64 1 (fma.f64 1/4 (pow.f64 N -4) (*.f64 1/2 (pow.f64 N -2))))
(*.f64 (cbrt.f64 (pow.f64 (fma.f64 1/4 (pow.f64 N -4) (*.f64 1/2 (pow.f64 N -2))) 2)) (cbrt.f64 (fma.f64 1/4 (pow.f64 N -4) (*.f64 1/2 (pow.f64 N -2)))))
(*.f64 (sqrt.f64 (fma.f64 1/4 (pow.f64 N -4) (*.f64 1/2 (pow.f64 N -2)))) (sqrt.f64 (fma.f64 1/4 (pow.f64 N -4) (*.f64 1/2 (pow.f64 N -2)))))
(pow.f64 (fma.f64 1/4 (pow.f64 N -4) (*.f64 1/2 (pow.f64 N -2))) 1)
(pow.f64 (cbrt.f64 (fma.f64 1/4 (pow.f64 N -4) (*.f64 1/2 (pow.f64 N -2)))) 3)
(pow.f64 (pow.f64 (fma.f64 1/4 (pow.f64 N -4) (*.f64 1/2 (pow.f64 N -2))) 3) 1/3)
(pow.f64 (sqrt.f64 (fma.f64 1/4 (pow.f64 N -4) (*.f64 1/2 (pow.f64 N -2)))) 2)
(log.f64 (exp.f64 (fma.f64 1/4 (pow.f64 N -4) (*.f64 1/2 (pow.f64 N -2)))))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 1/4 (pow.f64 N -4) (*.f64 1/2 (pow.f64 N -2))))))
(cbrt.f64 (pow.f64 (fma.f64 1/4 (pow.f64 N -4) (*.f64 1/2 (pow.f64 N -2))) 3))
(expm1.f64 (log1p.f64 (fma.f64 1/4 (pow.f64 N -4) (*.f64 1/2 (pow.f64 N -2)))))
(log1p.f64 (expm1.f64 (fma.f64 1/4 (pow.f64 N -4) (*.f64 1/2 (pow.f64 N -2)))))
(exp.f64 (log.f64 (fma.f64 1/4 (pow.f64 N -4) (*.f64 1/2 (pow.f64 N -2)))))
(exp.f64 (*.f64 (log.f64 (fma.f64 1/4 (pow.f64 N -4) (*.f64 1/2 (pow.f64 N -2)))) 1))
(+.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 0)
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(+.f64 (log1p.f64 N) (neg.f64 (log.f64 N)))
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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)))
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(log1p.f64 (expm1.f64 (*.f64 (fma.f64 (pow.f64 N 2) (fma.f64 1/3 N (pow.f64 N 3)) (*.f64 (pow.f64 N 4) -1/2)) (pow.f64 N -6))))
(exp.f64 (log.f64 (*.f64 (fma.f64 (pow.f64 N 2) (fma.f64 1/3 N (pow.f64 N 3)) (*.f64 (pow.f64 N 4) -1/2)) (pow.f64 N -6))))
(exp.f64 (*.f64 (log.f64 (*.f64 (fma.f64 (pow.f64 N 2) (fma.f64 1/3 N (pow.f64 N 3)) (*.f64 (pow.f64 N 4) -1/2)) (pow.f64 N -6))) 1))
(fma.f64 1 (*.f64 (fma.f64 (pow.f64 N 2) (fma.f64 1/3 N (pow.f64 N 3)) (*.f64 (pow.f64 N 4) -1/2)) (pow.f64 N -6)) 0)
(fma.f64 (fma.f64 (pow.f64 N 2) (fma.f64 1/3 N (pow.f64 N 3)) (*.f64 (pow.f64 N 4) -1/2)) (pow.f64 N -6) 0)
(fma.f64 (pow.f64 (*.f64 (cbrt.f64 (fma.f64 (pow.f64 N 2) (fma.f64 1/3 N (pow.f64 N 3)) (*.f64 (pow.f64 N 4) -1/2))) (pow.f64 N -2)) 2) (*.f64 (cbrt.f64 (fma.f64 (pow.f64 N 2) (fma.f64 1/3 N (pow.f64 N 3)) (*.f64 (pow.f64 N 4) -1/2))) (pow.f64 N -2)) 0)
(fma.f64 (/.f64 (sqrt.f64 (fma.f64 (pow.f64 N 2) (fma.f64 1/3 N (pow.f64 N 3)) (*.f64 (pow.f64 N 4) -1/2))) (pow.f64 N 3)) (/.f64 (sqrt.f64 (fma.f64 (pow.f64 N 2) (fma.f64 1/3 N (pow.f64 N 3)) (*.f64 (pow.f64 N 4) -1/2))) (pow.f64 N 3)) 0)
(-.f64 (exp.f64 (log1p.f64 (fma.f64 (pow.f64 N 2) (fma.f64 1/3 N (pow.f64 N 3)) (*.f64 (pow.f64 N 4) -1/2)))) 1)
(*.f64 1 (fma.f64 (pow.f64 N 2) (fma.f64 1/3 N (pow.f64 N 3)) (*.f64 (pow.f64 N 4) -1/2)))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 (pow.f64 N 2) (fma.f64 1/3 N (pow.f64 N 3)) (*.f64 (pow.f64 N 4) -1/2))) 2) (cbrt.f64 (fma.f64 (pow.f64 N 2) (fma.f64 1/3 N (pow.f64 N 3)) (*.f64 (pow.f64 N 4) -1/2))))
(*.f64 (sqrt.f64 (fma.f64 (pow.f64 N 2) (fma.f64 1/3 N (pow.f64 N 3)) (*.f64 (pow.f64 N 4) -1/2))) (sqrt.f64 (fma.f64 (pow.f64 N 2) (fma.f64 1/3 N (pow.f64 N 3)) (*.f64 (pow.f64 N 4) -1/2))))
(/.f64 (-.f64 (pow.f64 (*.f64 (pow.f64 N 2) (fma.f64 1/3 N (pow.f64 N 3))) 2) (pow.f64 (*.f64 (pow.f64 N 4) -1/2) 2)) (-.f64 (*.f64 (pow.f64 N 2) (fma.f64 1/3 N (pow.f64 N 3))) (*.f64 (pow.f64 N 4) -1/2)))
(/.f64 (+.f64 (pow.f64 (*.f64 (pow.f64 N 2) (fma.f64 1/3 N (pow.f64 N 3))) 3) (*.f64 (pow.f64 N 12) -1/8)) (+.f64 (pow.f64 (*.f64 (pow.f64 N 2) (fma.f64 1/3 N (pow.f64 N 3))) 2) (-.f64 (pow.f64 (*.f64 (pow.f64 N 4) -1/2) 2) (*.f64 (*.f64 (pow.f64 N 2) (fma.f64 1/3 N (pow.f64 N 3))) (*.f64 (pow.f64 N 4) -1/2)))))
(pow.f64 (fma.f64 (pow.f64 N 2) (fma.f64 1/3 N (pow.f64 N 3)) (*.f64 (pow.f64 N 4) -1/2)) 1)
(pow.f64 (cbrt.f64 (fma.f64 (pow.f64 N 2) (fma.f64 1/3 N (pow.f64 N 3)) (*.f64 (pow.f64 N 4) -1/2))) 3)
(pow.f64 (pow.f64 (fma.f64 (pow.f64 N 2) (fma.f64 1/3 N (pow.f64 N 3)) (*.f64 (pow.f64 N 4) -1/2)) 3) 1/3)
(pow.f64 (sqrt.f64 (fma.f64 (pow.f64 N 2) (fma.f64 1/3 N (pow.f64 N 3)) (*.f64 (pow.f64 N 4) -1/2))) 2)
(log.f64 (exp.f64 (fma.f64 (pow.f64 N 2) (fma.f64 1/3 N (pow.f64 N 3)) (*.f64 (pow.f64 N 4) -1/2))))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 (pow.f64 N 2) (fma.f64 1/3 N (pow.f64 N 3)) (*.f64 (pow.f64 N 4) -1/2)))))
(cbrt.f64 (pow.f64 (fma.f64 (pow.f64 N 2) (fma.f64 1/3 N (pow.f64 N 3)) (*.f64 (pow.f64 N 4) -1/2)) 3))
(expm1.f64 (log1p.f64 (fma.f64 (pow.f64 N 2) (fma.f64 1/3 N (pow.f64 N 3)) (*.f64 (pow.f64 N 4) -1/2))))
(log1p.f64 (expm1.f64 (fma.f64 (pow.f64 N 2) (fma.f64 1/3 N (pow.f64 N 3)) (*.f64 (pow.f64 N 4) -1/2))))
(exp.f64 (log.f64 (fma.f64 (pow.f64 N 2) (fma.f64 1/3 N (pow.f64 N 3)) (*.f64 (pow.f64 N 4) -1/2))))
(exp.f64 (*.f64 (log.f64 (fma.f64 (pow.f64 N 2) (fma.f64 1/3 N (pow.f64 N 3)) (*.f64 (pow.f64 N 4) -1/2))) 1))
(fma.f64 1 (*.f64 (pow.f64 N 2) (fma.f64 1/3 N (pow.f64 N 3))) (*.f64 (pow.f64 N 4) -1/2))
(fma.f64 1 (*.f64 (pow.f64 N 4) -1/2) (*.f64 (pow.f64 N 2) (fma.f64 1/3 N (pow.f64 N 3))))
(fma.f64 1 (fma.f64 (pow.f64 N 2) (fma.f64 1/3 N (pow.f64 N 3)) (*.f64 (pow.f64 N 4) -1/2)) 0)
(fma.f64 (pow.f64 N 2) (fma.f64 1/3 N (pow.f64 N 3)) (*.f64 (pow.f64 N 4) -1/2))
(fma.f64 (fma.f64 1/3 N (pow.f64 N 3)) (pow.f64 N 2) (*.f64 (pow.f64 N 4) -1/2))
(fma.f64 (pow.f64 N 4) -1/2 (*.f64 (pow.f64 N 2) (fma.f64 1/3 N (pow.f64 N 3))))
(fma.f64 -1/2 (pow.f64 N 4) (*.f64 (pow.f64 N 2) (fma.f64 1/3 N (pow.f64 N 3))))
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 (pow.f64 N 2) (fma.f64 1/3 N (pow.f64 N 3)) (*.f64 (pow.f64 N 4) -1/2))) 2) (cbrt.f64 (fma.f64 (pow.f64 N 2) (fma.f64 1/3 N (pow.f64 N 3)) (*.f64 (pow.f64 N 4) -1/2))) 0)
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 (pow.f64 N 2) (fma.f64 1/3 N (pow.f64 N 3)))) 2) (cbrt.f64 (*.f64 (pow.f64 N 2) (fma.f64 1/3 N (pow.f64 N 3)))) (*.f64 (pow.f64 N 4) -1/2))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 (pow.f64 N 4) -1/2)) 2) (cbrt.f64 (*.f64 (pow.f64 N 4) -1/2)) (*.f64 (pow.f64 N 2) (fma.f64 1/3 N (pow.f64 N 3))))
(fma.f64 (sqrt.f64 (fma.f64 (pow.f64 N 2) (fma.f64 1/3 N (pow.f64 N 3)) (*.f64 (pow.f64 N 4) -1/2))) (sqrt.f64 (fma.f64 (pow.f64 N 2) (fma.f64 1/3 N (pow.f64 N 3)) (*.f64 (pow.f64 N 4) -1/2))) 0)
(fma.f64 (*.f64 N (sqrt.f64 (fma.f64 1/3 N (pow.f64 N 3)))) (*.f64 N (sqrt.f64 (fma.f64 1/3 N (pow.f64 N 3)))) (*.f64 (pow.f64 N 4) -1/2))
(fma.f64 (sqrt.f64 (*.f64 (pow.f64 N 4) -1/2)) (sqrt.f64 (*.f64 (pow.f64 N 4) -1/2)) (*.f64 (pow.f64 N 2) (fma.f64 1/3 N (pow.f64 N 3))))
(+.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 (log1p.f64 N) (neg.f64 (log.f64 N)))
(+.f64 0 (-.f64 (log1p.f64 N) (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)) (pow.f64 (cbrt.f64 (log.f64 N)) 2)))) (fma.f64 (neg.f64 (cbrt.f64 (log.f64 N))) (pow.f64 (cbrt.f64 (log.f64 N)) 2) (*.f64 (cbrt.f64 (log.f64 N)) (pow.f64 (cbrt.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)) (pow.f64 (cbrt.f64 (log.f64 N)) 2)))) (fma.f64 (neg.f64 (cbrt.f64 (log.f64 N))) (pow.f64 (cbrt.f64 (log.f64 N)) 2) (*.f64 (cbrt.f64 (log.f64 N)) (pow.f64 (cbrt.f64 (log.f64 N)) 2))))
(+.f64 (fma.f64 (pow.f64 (cbrt.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 (pow.f64 (cbrt.f64 (log1p.f64 N)) 2) (cbrt.f64 (log1p.f64 N)) (neg.f64 (*.f64 (cbrt.f64 (log.f64 N)) (pow.f64 (cbrt.f64 (log.f64 N)) 2)))) (fma.f64 (neg.f64 (cbrt.f64 (log.f64 N))) (pow.f64 (cbrt.f64 (log.f64 N)) 2) (*.f64 (cbrt.f64 (log.f64 N)) (pow.f64 (cbrt.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 (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 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))))
(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 (log.f64 (/.f64 N (+.f64 N 1))))
(log.f64 (/.f64 (+.f64 N 1) N))
(log.f64 (+.f64 1 (expm1.f64 (-.f64 (log1p.f64 N) (log.f64 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 (expm1.f64 (-.f64 (log1p.f64 N) (log.f64 N))))
(exp.f64 (log.f64 (-.f64 (log1p.f64 N) (log.f64 N))))
(exp.f64 (*.f64 (log.f64 (-.f64 (log1p.f64 N) (log.f64 N))) 1))
(+.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 (sqrt.f64 (sqrt.f64 (log1p.f64 N))) (sqrt.f64 (sqrt.f64 (log1p.f64 N))))
(*.f64 (pow.f64 1 1/2) (sqrt.f64 (log1p.f64 N)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (log1p.f64 N)) 2) 1/2) (pow.f64 (cbrt.f64 (log1p.f64 N)) 1/2))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (log1p.f64 N)) 2)) (sqrt.f64 (cbrt.f64 (log1p.f64 N))))
(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) 3/2) 1/3)
(pow.f64 (sqrt.f64 (sqrt.f64 (log1p.f64 N))) 2)
(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 (sqrt.f64 (sqrt.f64 (log1p.f64 N))) (sqrt.f64 (sqrt.f64 (log1p.f64 N))) 0)

simplify202.0ms (2.3%)

Algorithm
egg-herbie
Rules
1282×fma-define
1236×+-commutative
784×add0
594×distribute-rgt-in
574×associate-*r*
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
075026389
1234023922
Stop Event
node limit
Counts
482 → 460
Calls
Call 1
Inputs
(/.f64 (pow.f64 (sqrt.f64 -1/4) 2) (pow.f64 N 4))
(+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 N 3))) (/.f64 (pow.f64 (sqrt.f64 -1/4) 2) (pow.f64 N 4)))
(+.f64 (*.f64 -1 (/.f64 (+.f64 1/2 (pow.f64 (/.f64 1/6 (sqrt.f64 -1/4)) 2)) (pow.f64 N 2))) (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 N 3))) (+.f64 (*.f64 1/36 (/.f64 1 (*.f64 (pow.f64 N 2) (pow.f64 (sqrt.f64 -1/4) 2)))) (/.f64 (pow.f64 (sqrt.f64 -1/4) 2) (pow.f64 N 4)))))
(+.f64 (*.f64 -1 (/.f64 (+.f64 1/2 (pow.f64 (/.f64 1/6 (sqrt.f64 -1/4)) 2)) (pow.f64 N 2))) (+.f64 (*.f64 1/36 (/.f64 1 (*.f64 (pow.f64 N 2) (pow.f64 (sqrt.f64 -1/4) 2)))) (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 N 3))) (+.f64 (/.f64 1 N) (/.f64 (pow.f64 (sqrt.f64 -1/4) 2) (pow.f64 N 4))))))
(/.f64 (sqrt.f64 -1/4) (pow.f64 N 2))
(+.f64 (*.f64 1/6 (/.f64 1 (*.f64 N (sqrt.f64 -1/4)))) (/.f64 (sqrt.f64 -1/4) (pow.f64 N 2)))
(+.f64 (*.f64 -1/2 (/.f64 (+.f64 1/2 (pow.f64 (/.f64 1/6 (sqrt.f64 -1/4)) 2)) (sqrt.f64 -1/4))) (+.f64 (*.f64 1/6 (/.f64 1 (*.f64 N (sqrt.f64 -1/4)))) (/.f64 (sqrt.f64 -1/4) (pow.f64 N 2))))
(+.f64 (*.f64 -1/2 (/.f64 (+.f64 1/2 (pow.f64 (/.f64 1/6 (sqrt.f64 -1/4)) 2)) (sqrt.f64 -1/4))) (+.f64 (*.f64 1/6 (/.f64 1 (*.f64 N (sqrt.f64 -1/4)))) (+.f64 (*.f64 1/2 (/.f64 (*.f64 N (-.f64 1 (*.f64 -1/6 (/.f64 (+.f64 1/2 (pow.f64 (/.f64 1/6 (sqrt.f64 -1/4)) 2)) (pow.f64 (sqrt.f64 -1/4) 2))))) (sqrt.f64 -1/4))) (/.f64 (sqrt.f64 -1/4) (pow.f64 N 2)))))
(/.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 (*.f64 1/3 (/.f64 1 (pow.f64 N 3))) (/.f64 1 N)) (+.f64 (*.f64 1/2 (/.f64 1 (pow.f64 N 2))) (*.f64 1/4 (/.f64 1 (pow.f64 N 4)))))
(/.f64 1 N)
(-.f64 (/.f64 1 N) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 N 3))) (/.f64 1 N)) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 N 3))) (/.f64 1 N)) (+.f64 (*.f64 1/4 (/.f64 1 (pow.f64 N 4))) (*.f64 1/2 (/.f64 1 (pow.f64 N 2)))))
(/.f64 1 N)
(-.f64 (/.f64 1 N) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 N 3))) (/.f64 1 N)) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 N 3))) (/.f64 1 N)) (+.f64 (*.f64 1/4 (/.f64 1 (pow.f64 N 4))) (*.f64 1/2 (/.f64 1 (pow.f64 N 2)))))
(/.f64 1/4 (pow.f64 N 4))
(+.f64 (*.f64 1/2 (/.f64 1 (pow.f64 N 2))) (*.f64 1/4 (/.f64 1 (pow.f64 N 4))))
(+.f64 (*.f64 1/2 (/.f64 1 (pow.f64 N 2))) (*.f64 1/4 (/.f64 1 (pow.f64 N 4))))
(+.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 1/2 (/.f64 1 (pow.f64 N 2))) (*.f64 1/4 (/.f64 1 (pow.f64 N 4))))
(+.f64 (*.f64 1/2 (/.f64 1 (pow.f64 N 2))) (*.f64 1/4 (/.f64 1 (pow.f64 N 4))))
(+.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 1/2 (/.f64 1 (pow.f64 N 2))) (*.f64 1/4 (/.f64 1 (pow.f64 N 4))))
(+.f64 (*.f64 1/2 (/.f64 1 (pow.f64 N 2))) (*.f64 1/4 (/.f64 1 (pow.f64 N 4))))
(+.f64 (*.f64 1/2 (/.f64 1 (pow.f64 N 2))) (*.f64 1/4 (/.f64 1 (pow.f64 N 4))))
(*.f64 -1 (log.f64 N))
(+.f64 N (*.f64 -1 (log.f64 N)))
(+.f64 N (+.f64 (*.f64 -1 (log.f64 N)) (*.f64 -1/2 (pow.f64 N 2))))
(+.f64 N (+.f64 (*.f64 -1 (log.f64 N)) (+.f64 (*.f64 -1/2 (pow.f64 N 2)) (*.f64 1/3 (pow.f64 N 3)))))
(/.f64 1 N)
(-.f64 (/.f64 1 N) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 N 3))) (/.f64 1 N)) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 N 3))) (/.f64 1 N)) (+.f64 (*.f64 1/4 (/.f64 1 (pow.f64 N 4))) (*.f64 1/2 (/.f64 1 (pow.f64 N 2)))))
(/.f64 1 N)
(-.f64 (/.f64 1 N) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 N 3))) (/.f64 1 N)) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 N 3))) (/.f64 1 N)) (+.f64 (*.f64 1/4 (/.f64 1 (pow.f64 N 4))) (*.f64 1/2 (/.f64 1 (pow.f64 N 2)))))
(/.f64 -1/2 (pow.f64 N 2))
(-.f64 (/.f64 1 N) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (/.f64 1 N) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (/.f64 1 N) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(/.f64 1 N)
(-.f64 (/.f64 1 N) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
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(-.f64 (exp.f64 (log1p.f64 (*.f64 1/3 N))) 1)
(pow.f64 (*.f64 1/3 N) 1)
(pow.f64 (cbrt.f64 (*.f64 1/3 N)) 3)
(pow.f64 (*.f64 (pow.f64 N 3) 1/27) 1/3)
(pow.f64 (sqrt.f64 (*.f64 1/3 N)) 2)
(log.f64 (pow.f64 (exp.f64 1/3) N))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 1/3 N))))
(cbrt.f64 (*.f64 (pow.f64 N 3) 1/27))
(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 N 0)
(fma.f64 N 1/3 0)
(fma.f64 1 (*.f64 1/3 N) 0)
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 1/3 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 (fma.f64 (pow.f64 N 2) (fma.f64 1/3 N (pow.f64 N 3)) (*.f64 (pow.f64 N 4) -1/2)) (pow.f64 N -6)) 0)
(-.f64 (exp.f64 (log1p.f64 (*.f64 (fma.f64 (pow.f64 N 2) (fma.f64 1/3 N (pow.f64 N 3)) (*.f64 (pow.f64 N 4) -1/2)) (pow.f64 N -6)))) 1)
(*.f64 1 (*.f64 (fma.f64 (pow.f64 N 2) (fma.f64 1/3 N (pow.f64 N 3)) (*.f64 (pow.f64 N 4) -1/2)) (pow.f64 N -6)))
(*.f64 (fma.f64 (pow.f64 N 2) (fma.f64 1/3 N (pow.f64 N 3)) (*.f64 (pow.f64 N 4) -1/2)) (pow.f64 N -6))
(*.f64 (pow.f64 (*.f64 (cbrt.f64 (fma.f64 (pow.f64 N 2) (fma.f64 1/3 N (pow.f64 N 3)) (*.f64 (pow.f64 N 4) -1/2))) (pow.f64 N -2)) 2) (*.f64 (cbrt.f64 (fma.f64 (pow.f64 N 2) (fma.f64 1/3 N (pow.f64 N 3)) (*.f64 (pow.f64 N 4) -1/2))) (pow.f64 N -2)))
(*.f64 (/.f64 (sqrt.f64 (fma.f64 (pow.f64 N 2) (fma.f64 1/3 N (pow.f64 N 3)) (*.f64 (pow.f64 N 4) -1/2))) (pow.f64 N 3)) (/.f64 (sqrt.f64 (fma.f64 (pow.f64 N 2) (fma.f64 1/3 N (pow.f64 N 3)) (*.f64 (pow.f64 N 4) -1/2))) (pow.f64 N 3)))
(pow.f64 (*.f64 (fma.f64 (pow.f64 N 2) (fma.f64 1/3 N (pow.f64 N 3)) (*.f64 (pow.f64 N 4) -1/2)) (pow.f64 N -6)) 1)
(pow.f64 (*.f64 (cbrt.f64 (fma.f64 (pow.f64 N 2) (fma.f64 1/3 N (pow.f64 N 3)) (*.f64 (pow.f64 N 4) -1/2))) (pow.f64 N -2)) 3)
(pow.f64 (pow.f64 (*.f64 (fma.f64 (pow.f64 N 2) (fma.f64 1/3 N (pow.f64 N 3)) (*.f64 (pow.f64 N 4) -1/2)) (pow.f64 N -6)) 3) 1/3)
(pow.f64 (/.f64 (sqrt.f64 (fma.f64 (pow.f64 N 2) (fma.f64 1/3 N (pow.f64 N 3)) (*.f64 (pow.f64 N 4) -1/2))) (pow.f64 N 3)) 2)
(pow.f64 (/.f64 (pow.f64 N 6) (fma.f64 (pow.f64 N 2) (fma.f64 1/3 N (pow.f64 N 3)) (*.f64 (pow.f64 N 4) -1/2))) -1)
(log.f64 (pow.f64 (exp.f64 (fma.f64 (pow.f64 N 2) (fma.f64 1/3 N (pow.f64 N 3)) (*.f64 (pow.f64 N 4) -1/2))) (pow.f64 N -6)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (fma.f64 (pow.f64 N 2) (fma.f64 1/3 N (pow.f64 N 3)) (*.f64 (pow.f64 N 4) -1/2)) (pow.f64 N -6)))))
(cbrt.f64 (pow.f64 (*.f64 (fma.f64 (pow.f64 N 2) (fma.f64 1/3 N (pow.f64 N 3)) (*.f64 (pow.f64 N 4) -1/2)) (pow.f64 N -6)) 3))
(cbrt.f64 (/.f64 (pow.f64 (fma.f64 (pow.f64 N 2) (fma.f64 1/3 N (pow.f64 N 3)) (*.f64 (pow.f64 N 4) -1/2)) 3) (pow.f64 (pow.f64 N 6) 3)))
(expm1.f64 (log1p.f64 (*.f64 (fma.f64 (pow.f64 N 2) (fma.f64 1/3 N (pow.f64 N 3)) (*.f64 (pow.f64 N 4) -1/2)) (pow.f64 N -6))))
(log1p.f64 (expm1.f64 (*.f64 (fma.f64 (pow.f64 N 2) (fma.f64 1/3 N (pow.f64 N 3)) (*.f64 (pow.f64 N 4) -1/2)) (pow.f64 N -6))))
(exp.f64 (log.f64 (*.f64 (fma.f64 (pow.f64 N 2) (fma.f64 1/3 N (pow.f64 N 3)) (*.f64 (pow.f64 N 4) -1/2)) (pow.f64 N -6))))
(exp.f64 (*.f64 (log.f64 (*.f64 (fma.f64 (pow.f64 N 2) (fma.f64 1/3 N (pow.f64 N 3)) (*.f64 (pow.f64 N 4) -1/2)) (pow.f64 N -6))) 1))
(fma.f64 1 (*.f64 (fma.f64 (pow.f64 N 2) (fma.f64 1/3 N (pow.f64 N 3)) (*.f64 (pow.f64 N 4) -1/2)) (pow.f64 N -6)) 0)
(fma.f64 (fma.f64 (pow.f64 N 2) (fma.f64 1/3 N (pow.f64 N 3)) (*.f64 (pow.f64 N 4) -1/2)) (pow.f64 N -6) 0)
(fma.f64 (pow.f64 (*.f64 (cbrt.f64 (fma.f64 (pow.f64 N 2) (fma.f64 1/3 N (pow.f64 N 3)) (*.f64 (pow.f64 N 4) -1/2))) (pow.f64 N -2)) 2) (*.f64 (cbrt.f64 (fma.f64 (pow.f64 N 2) (fma.f64 1/3 N (pow.f64 N 3)) (*.f64 (pow.f64 N 4) -1/2))) (pow.f64 N -2)) 0)
(fma.f64 (/.f64 (sqrt.f64 (fma.f64 (pow.f64 N 2) (fma.f64 1/3 N (pow.f64 N 3)) (*.f64 (pow.f64 N 4) -1/2))) (pow.f64 N 3)) (/.f64 (sqrt.f64 (fma.f64 (pow.f64 N 2) (fma.f64 1/3 N (pow.f64 N 3)) (*.f64 (pow.f64 N 4) -1/2))) (pow.f64 N 3)) 0)
(-.f64 (exp.f64 (log1p.f64 (fma.f64 (pow.f64 N 2) (fma.f64 1/3 N (pow.f64 N 3)) (*.f64 (pow.f64 N 4) -1/2)))) 1)
(*.f64 1 (fma.f64 (pow.f64 N 2) (fma.f64 1/3 N (pow.f64 N 3)) (*.f64 (pow.f64 N 4) -1/2)))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 (pow.f64 N 2) (fma.f64 1/3 N (pow.f64 N 3)) (*.f64 (pow.f64 N 4) -1/2))) 2) (cbrt.f64 (fma.f64 (pow.f64 N 2) (fma.f64 1/3 N (pow.f64 N 3)) (*.f64 (pow.f64 N 4) -1/2))))
(*.f64 (sqrt.f64 (fma.f64 (pow.f64 N 2) (fma.f64 1/3 N (pow.f64 N 3)) (*.f64 (pow.f64 N 4) -1/2))) (sqrt.f64 (fma.f64 (pow.f64 N 2) (fma.f64 1/3 N (pow.f64 N 3)) (*.f64 (pow.f64 N 4) -1/2))))
(/.f64 (-.f64 (pow.f64 (*.f64 (pow.f64 N 2) (fma.f64 1/3 N (pow.f64 N 3))) 2) (pow.f64 (*.f64 (pow.f64 N 4) -1/2) 2)) (-.f64 (*.f64 (pow.f64 N 2) (fma.f64 1/3 N (pow.f64 N 3))) (*.f64 (pow.f64 N 4) -1/2)))
(/.f64 (+.f64 (pow.f64 (*.f64 (pow.f64 N 2) (fma.f64 1/3 N (pow.f64 N 3))) 3) (*.f64 (pow.f64 N 12) -1/8)) (+.f64 (pow.f64 (*.f64 (pow.f64 N 2) (fma.f64 1/3 N (pow.f64 N 3))) 2) (-.f64 (pow.f64 (*.f64 (pow.f64 N 4) -1/2) 2) (*.f64 (*.f64 (pow.f64 N 2) (fma.f64 1/3 N (pow.f64 N 3))) (*.f64 (pow.f64 N 4) -1/2)))))
(pow.f64 (fma.f64 (pow.f64 N 2) (fma.f64 1/3 N (pow.f64 N 3)) (*.f64 (pow.f64 N 4) -1/2)) 1)
(pow.f64 (cbrt.f64 (fma.f64 (pow.f64 N 2) (fma.f64 1/3 N (pow.f64 N 3)) (*.f64 (pow.f64 N 4) -1/2))) 3)
(pow.f64 (pow.f64 (fma.f64 (pow.f64 N 2) (fma.f64 1/3 N (pow.f64 N 3)) (*.f64 (pow.f64 N 4) -1/2)) 3) 1/3)
(pow.f64 (sqrt.f64 (fma.f64 (pow.f64 N 2) (fma.f64 1/3 N (pow.f64 N 3)) (*.f64 (pow.f64 N 4) -1/2))) 2)
(log.f64 (exp.f64 (fma.f64 (pow.f64 N 2) (fma.f64 1/3 N (pow.f64 N 3)) (*.f64 (pow.f64 N 4) -1/2))))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 (pow.f64 N 2) (fma.f64 1/3 N (pow.f64 N 3)) (*.f64 (pow.f64 N 4) -1/2)))))
(cbrt.f64 (pow.f64 (fma.f64 (pow.f64 N 2) (fma.f64 1/3 N (pow.f64 N 3)) (*.f64 (pow.f64 N 4) -1/2)) 3))
(expm1.f64 (log1p.f64 (fma.f64 (pow.f64 N 2) (fma.f64 1/3 N (pow.f64 N 3)) (*.f64 (pow.f64 N 4) -1/2))))
(log1p.f64 (expm1.f64 (fma.f64 (pow.f64 N 2) (fma.f64 1/3 N (pow.f64 N 3)) (*.f64 (pow.f64 N 4) -1/2))))
(exp.f64 (log.f64 (fma.f64 (pow.f64 N 2) (fma.f64 1/3 N (pow.f64 N 3)) (*.f64 (pow.f64 N 4) -1/2))))
(exp.f64 (*.f64 (log.f64 (fma.f64 (pow.f64 N 2) (fma.f64 1/3 N (pow.f64 N 3)) (*.f64 (pow.f64 N 4) -1/2))) 1))
(fma.f64 1 (*.f64 (pow.f64 N 2) (fma.f64 1/3 N (pow.f64 N 3))) (*.f64 (pow.f64 N 4) -1/2))
(fma.f64 1 (*.f64 (pow.f64 N 4) -1/2) (*.f64 (pow.f64 N 2) (fma.f64 1/3 N (pow.f64 N 3))))
(fma.f64 1 (fma.f64 (pow.f64 N 2) (fma.f64 1/3 N (pow.f64 N 3)) (*.f64 (pow.f64 N 4) -1/2)) 0)
(fma.f64 (pow.f64 N 2) (fma.f64 1/3 N (pow.f64 N 3)) (*.f64 (pow.f64 N 4) -1/2))
(fma.f64 (fma.f64 1/3 N (pow.f64 N 3)) (pow.f64 N 2) (*.f64 (pow.f64 N 4) -1/2))
(fma.f64 (pow.f64 N 4) -1/2 (*.f64 (pow.f64 N 2) (fma.f64 1/3 N (pow.f64 N 3))))
(fma.f64 -1/2 (pow.f64 N 4) (*.f64 (pow.f64 N 2) (fma.f64 1/3 N (pow.f64 N 3))))
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 (pow.f64 N 2) (fma.f64 1/3 N (pow.f64 N 3)) (*.f64 (pow.f64 N 4) -1/2))) 2) (cbrt.f64 (fma.f64 (pow.f64 N 2) (fma.f64 1/3 N (pow.f64 N 3)) (*.f64 (pow.f64 N 4) -1/2))) 0)
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 (pow.f64 N 2) (fma.f64 1/3 N (pow.f64 N 3)))) 2) (cbrt.f64 (*.f64 (pow.f64 N 2) (fma.f64 1/3 N (pow.f64 N 3)))) (*.f64 (pow.f64 N 4) -1/2))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 (pow.f64 N 4) -1/2)) 2) (cbrt.f64 (*.f64 (pow.f64 N 4) -1/2)) (*.f64 (pow.f64 N 2) (fma.f64 1/3 N (pow.f64 N 3))))
(fma.f64 (sqrt.f64 (fma.f64 (pow.f64 N 2) (fma.f64 1/3 N (pow.f64 N 3)) (*.f64 (pow.f64 N 4) -1/2))) (sqrt.f64 (fma.f64 (pow.f64 N 2) (fma.f64 1/3 N (pow.f64 N 3)) (*.f64 (pow.f64 N 4) -1/2))) 0)
(fma.f64 (*.f64 N (sqrt.f64 (fma.f64 1/3 N (pow.f64 N 3)))) (*.f64 N (sqrt.f64 (fma.f64 1/3 N (pow.f64 N 3)))) (*.f64 (pow.f64 N 4) -1/2))
(fma.f64 (sqrt.f64 (*.f64 (pow.f64 N 4) -1/2)) (sqrt.f64 (*.f64 (pow.f64 N 4) -1/2)) (*.f64 (pow.f64 N 2) (fma.f64 1/3 N (pow.f64 N 3))))
(+.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 (log1p.f64 N) (neg.f64 (log.f64 N)))
(+.f64 0 (-.f64 (log1p.f64 N) (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)) (pow.f64 (cbrt.f64 (log.f64 N)) 2)))) (fma.f64 (neg.f64 (cbrt.f64 (log.f64 N))) (pow.f64 (cbrt.f64 (log.f64 N)) 2) (*.f64 (cbrt.f64 (log.f64 N)) (pow.f64 (cbrt.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)) (pow.f64 (cbrt.f64 (log.f64 N)) 2)))) (fma.f64 (neg.f64 (cbrt.f64 (log.f64 N))) (pow.f64 (cbrt.f64 (log.f64 N)) 2) (*.f64 (cbrt.f64 (log.f64 N)) (pow.f64 (cbrt.f64 (log.f64 N)) 2))))
(+.f64 (fma.f64 (pow.f64 (cbrt.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 (pow.f64 (cbrt.f64 (log1p.f64 N)) 2) (cbrt.f64 (log1p.f64 N)) (neg.f64 (*.f64 (cbrt.f64 (log.f64 N)) (pow.f64 (cbrt.f64 (log.f64 N)) 2)))) (fma.f64 (neg.f64 (cbrt.f64 (log.f64 N))) (pow.f64 (cbrt.f64 (log.f64 N)) 2) (*.f64 (cbrt.f64 (log.f64 N)) (pow.f64 (cbrt.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 (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 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))))
(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 (log.f64 (/.f64 N (+.f64 N 1))))
(log.f64 (/.f64 (+.f64 N 1) N))
(log.f64 (+.f64 1 (expm1.f64 (-.f64 (log1p.f64 N) (log.f64 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 (expm1.f64 (-.f64 (log1p.f64 N) (log.f64 N))))
(exp.f64 (log.f64 (-.f64 (log1p.f64 N) (log.f64 N))))
(exp.f64 (*.f64 (log.f64 (-.f64 (log1p.f64 N) (log.f64 N))) 1))
(+.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 (sqrt.f64 (sqrt.f64 (log1p.f64 N))) (sqrt.f64 (sqrt.f64 (log1p.f64 N))))
(*.f64 (pow.f64 1 1/2) (sqrt.f64 (log1p.f64 N)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (log1p.f64 N)) 2) 1/2) (pow.f64 (cbrt.f64 (log1p.f64 N)) 1/2))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (log1p.f64 N)) 2)) (sqrt.f64 (cbrt.f64 (log1p.f64 N))))
(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) 3/2) 1/3)
(pow.f64 (sqrt.f64 (sqrt.f64 (log1p.f64 N))) 2)
(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 (sqrt.f64 (sqrt.f64 (log1p.f64 N))) (sqrt.f64 (sqrt.f64 (log1p.f64 N))) 0)
Outputs
(/.f64 (pow.f64 (sqrt.f64 -1/4) 2) (pow.f64 N 4))
(/.f64 -1/4 (pow.f64 N 4))
(+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 N 3))) (/.f64 (pow.f64 (sqrt.f64 -1/4) 2) (pow.f64 N 4)))
(+.f64 (/.f64 (pow.f64 (sqrt.f64 -1/4) 2) (pow.f64 N 4)) (/.f64 1/3 (pow.f64 N 3)))
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 -1/4 (pow.f64 N 4)))
(+.f64 (*.f64 -1 (/.f64 (+.f64 1/2 (pow.f64 (/.f64 1/6 (sqrt.f64 -1/4)) 2)) (pow.f64 N 2))) (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 N 3))) (+.f64 (*.f64 1/36 (/.f64 1 (*.f64 (pow.f64 N 2) (pow.f64 (sqrt.f64 -1/4) 2)))) (/.f64 (pow.f64 (sqrt.f64 -1/4) 2) (pow.f64 N 4)))))
(fma.f64 -1 (/.f64 (+.f64 1/2 (pow.f64 (/.f64 1/6 (sqrt.f64 -1/4)) 2)) (pow.f64 N 2)) (+.f64 (/.f64 1/3 (pow.f64 N 3)) (+.f64 (/.f64 (pow.f64 (sqrt.f64 -1/4) 2) (pow.f64 N 4)) (/.f64 1/36 (*.f64 (pow.f64 (sqrt.f64 -1/4) 2) (pow.f64 N 2))))))
(-.f64 (+.f64 (+.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 -1/4 (pow.f64 N 4))) (/.f64 -1/9 (pow.f64 N 2))) (/.f64 (+.f64 1/2 (pow.f64 (/.f64 1/6 (sqrt.f64 -1/4)) 2)) (pow.f64 N 2)))
(+.f64 (*.f64 -1 (/.f64 (+.f64 1/2 (pow.f64 (/.f64 1/6 (sqrt.f64 -1/4)) 2)) (pow.f64 N 2))) (+.f64 (*.f64 1/36 (/.f64 1 (*.f64 (pow.f64 N 2) (pow.f64 (sqrt.f64 -1/4) 2)))) (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 N 3))) (+.f64 (/.f64 1 N) (/.f64 (pow.f64 (sqrt.f64 -1/4) 2) (pow.f64 N 4))))))
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(-.f64 (fma.f64 1/3 (pow.f64 N -3) (/.f64 1 N)) (fma.f64 1/4 (pow.f64 N -4) (*.f64 1/2 (pow.f64 N -2))))
(*.f64 (sqrt.f64 (-.f64 (fma.f64 1/3 (pow.f64 N -3) (/.f64 1 N)) (fma.f64 1/4 (pow.f64 N -4) (*.f64 1/2 (pow.f64 N -2))))) (sqrt.f64 (-.f64 (fma.f64 1/3 (pow.f64 N -3) (/.f64 1 N)) (fma.f64 1/4 (pow.f64 N -4) (*.f64 1/2 (pow.f64 N -2))))))
(-.f64 (fma.f64 1/3 (pow.f64 N -3) (/.f64 1 N)) (fma.f64 1/4 (pow.f64 N -4) (*.f64 1/2 (pow.f64 N -2))))
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(-.f64 (fma.f64 1/3 (pow.f64 N -3) (/.f64 1 N)) (fma.f64 1/4 (pow.f64 N -4) (*.f64 1/2 (pow.f64 N -2))))
(/.f64 (-.f64 (pow.f64 (fma.f64 1/3 (pow.f64 N -3) (/.f64 1 N)) 2) (pow.f64 (fma.f64 1/4 (pow.f64 N -4) (*.f64 1/2 (pow.f64 N -2))) 2)) (+.f64 (fma.f64 1/3 (pow.f64 N -3) (/.f64 1 N)) (fma.f64 1/4 (pow.f64 N -4) (*.f64 1/2 (pow.f64 N -2)))))
(/.f64 (-.f64 (pow.f64 (fma.f64 1/3 (pow.f64 N -3) (/.f64 1 N)) 3) (pow.f64 (fma.f64 1/4 (pow.f64 N -4) (*.f64 1/2 (pow.f64 N -2))) 3)) (+.f64 (pow.f64 (fma.f64 1/3 (pow.f64 N -3) (/.f64 1 N)) 2) (+.f64 (pow.f64 (fma.f64 1/4 (pow.f64 N -4) (*.f64 1/2 (pow.f64 N -2))) 2) (*.f64 (fma.f64 1/3 (pow.f64 N -3) (/.f64 1 N)) (fma.f64 1/4 (pow.f64 N -4) (*.f64 1/2 (pow.f64 N -2)))))))
(/.f64 (-.f64 (pow.f64 (fma.f64 1/3 (pow.f64 N -3) (/.f64 1 N)) 3) (pow.f64 (fma.f64 1/4 (pow.f64 N -4) (*.f64 1/2 (pow.f64 N -2))) 3)) (+.f64 (+.f64 (pow.f64 (fma.f64 1/3 (pow.f64 N -3) (/.f64 1 N)) 2) (pow.f64 (fma.f64 1/4 (pow.f64 N -4) (*.f64 1/2 (pow.f64 N -2))) 2)) (*.f64 (fma.f64 1/3 (pow.f64 N -3) (/.f64 1 N)) (fma.f64 1/4 (pow.f64 N -4) (*.f64 1/2 (pow.f64 N -2))))))
(/.f64 (-.f64 (pow.f64 (fma.f64 1/3 (pow.f64 N -3) (/.f64 1 N)) 3) (pow.f64 (fma.f64 1/4 (pow.f64 N -4) (*.f64 1/2 (pow.f64 N -2))) 3)) (+.f64 (pow.f64 (fma.f64 1/3 (pow.f64 N -3) (/.f64 1 N)) 2) (*.f64 (fma.f64 1/4 (pow.f64 N -4) (*.f64 1/2 (pow.f64 N -2))) (+.f64 (fma.f64 1/3 (pow.f64 N -3) (/.f64 1 N)) (fma.f64 1/4 (pow.f64 N -4) (*.f64 1/2 (pow.f64 N -2)))))))
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(-.f64 (fma.f64 1/3 (pow.f64 N -3) (/.f64 1 N)) (fma.f64 1/4 (pow.f64 N -4) (*.f64 1/2 (pow.f64 N -2))))
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(-.f64 (fma.f64 1/3 (pow.f64 N -3) (/.f64 1 N)) (fma.f64 1/4 (pow.f64 N -4) (*.f64 1/2 (pow.f64 N -2))))
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(-.f64 (fma.f64 1/3 (pow.f64 N -3) (/.f64 1 N)) (fma.f64 1/4 (pow.f64 N -4) (*.f64 1/2 (pow.f64 N -2))))
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(-.f64 (fma.f64 1/3 (pow.f64 N -3) (/.f64 1 N)) (fma.f64 1/4 (pow.f64 N -4) (*.f64 1/2 (pow.f64 N -2))))
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(-.f64 (fma.f64 1/3 (pow.f64 N -3) (/.f64 1 N)) (fma.f64 1/4 (pow.f64 N -4) (*.f64 1/2 (pow.f64 N -2))))
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(fma.f64 1/4 (pow.f64 N -4) (*.f64 1/2 (pow.f64 N -2)))
(pow.f64 (fma.f64 1/4 (pow.f64 N -4) (*.f64 1/2 (pow.f64 N -2))) 1)
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(pow.f64 (cbrt.f64 (fma.f64 1/4 (pow.f64 N -4) (*.f64 1/2 (pow.f64 N -2)))) 3)
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(+.f64 (fma.f64 1 (log1p.f64 N) (neg.f64 (log.f64 N))) (+.f64 (neg.f64 (log.f64 N)) (log.f64 N)))
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(+.f64 (fma.f64 (sqrt.f64 (log1p.f64 N)) (sqrt.f64 (log1p.f64 N)) (neg.f64 (*.f64 (cbrt.f64 (log.f64 N)) (pow.f64 (cbrt.f64 (log.f64 N)) 2)))) (fma.f64 (neg.f64 (cbrt.f64 (log.f64 N))) (pow.f64 (cbrt.f64 (log.f64 N)) 2) (*.f64 (cbrt.f64 (log.f64 N)) (pow.f64 (cbrt.f64 (log.f64 N)) 2))))
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(*.f64 3 (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 2 (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))))
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(-.f64 (exp.f64 (log1p.f64 (-.f64 (log1p.f64 N) (log.f64 N)))) 1)
(expm1.f64 (log1p.f64 (-.f64 (log1p.f64 N) (log.f64 N))))
(-.f64 (log.f64 (neg.f64 (+.f64 N 1))) (log.f64 (neg.f64 N)))
(-.f64 (log.f64 (-.f64 -1 N)) (log.f64 (neg.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))
(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 (log.f64 (/.f64 N (+.f64 N 1))))
(-.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 (expm1.f64 (-.f64 (log1p.f64 N) (log.f64 N)))))
(-.f64 (log1p.f64 N) (log.f64 N))
(cbrt.f64 (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 3))
(-.f64 (log1p.f64 N) (log.f64 N))
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(-.f64 (log1p.f64 N) (log.f64 N))
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(-.f64 (log1p.f64 N) (log.f64 N))
(exp.f64 (*.f64 (log.f64 (-.f64 (log1p.f64 N) (log.f64 N))) 1))
(-.f64 (log1p.f64 N) (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)
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(*.f64 (sqrt.f64 (sqrt.f64 (log1p.f64 N))) (sqrt.f64 (sqrt.f64 (log1p.f64 N))))
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(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (log1p.f64 N)) 2) 1/2) (pow.f64 (cbrt.f64 (log1p.f64 N)) 1/2))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (log1p.f64 N)) 2)) (sqrt.f64 (cbrt.f64 (log1p.f64 N))))
(*.f64 (fabs.f64 (cbrt.f64 (log1p.f64 N))) (sqrt.f64 (cbrt.f64 (log1p.f64 N))))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (log1p.f64 N)) 2)) (sqrt.f64 (cbrt.f64 (log1p.f64 N))))
(*.f64 (fabs.f64 (cbrt.f64 (log1p.f64 N))) (sqrt.f64 (cbrt.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) 3/2) 1/3)
(cbrt.f64 (pow.f64 (log1p.f64 N) 3/2))
(pow.f64 (sqrt.f64 (sqrt.f64 (log1p.f64 N))) 2)
(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 (sqrt.f64 (sqrt.f64 (log1p.f64 N))) (sqrt.f64 (sqrt.f64 (log1p.f64 N))) 0)
(sqrt.f64 (log1p.f64 N))

eval326.0ms (3.8%)

Compiler

Compiled 15184 to 11528 computations (24.1% saved)

prune108.0ms (1.3%)

Pruning

30 alts after pruning (22 fresh and 8 done)

PrunedKeptTotal
New6029611
Fresh41317
Picked325
Done066
Total60930639
Accuracy
99.8%
Counts
639 → 30
Alt Table
Click to see full alt table
StatusAccuracyProgram
96.6%
(fma.f64 (pow.f64 N -1/2) (pow.f64 N -1/2) (-.f64 (*.f64 1/3 (pow.f64 N -3)) (fma.f64 1/4 (pow.f64 N -4) (*.f64 1/2 (pow.f64 N -2)))))
21.9%
(fma.f64 (sqrt.f64 (log1p.f64 N)) (sqrt.f64 (log1p.f64 N)) (neg.f64 (log.f64 N)))
91.5%
(pow.f64 (pow.f64 (pow.f64 (-.f64 (fma.f64 1/3 (pow.f64 N -3) (/.f64 1 N)) (fma.f64 1/4 (pow.f64 N -4) (*.f64 1/2 (pow.f64 N -2)))) 3/2) 1/3) 2)
91.5%
(pow.f64 (pow.f64 (-.f64 (fma.f64 1/3 (pow.f64 N -3) (/.f64 1 N)) (fma.f64 1/4 (pow.f64 N -4) (*.f64 1/2 (pow.f64 N -2)))) 3) 1/3)
43.6%
(pow.f64 (-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (-.f64 (fma.f64 1/3 (pow.f64 N -3) (/.f64 1 N)) (fma.f64 1/4 (pow.f64 N -4) (*.f64 1/2 (pow.f64 N -2))))))) 1) 2)
96.6%
(pow.f64 (sqrt.f64 (-.f64 (-.f64 (+.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 1 N)) (/.f64 1/4 (pow.f64 N 4))) (/.f64 1/2 (pow.f64 N 2)))) 2)
91.2%
(pow.f64 (E.f64) (-.f64 (-.f64 (/.f64 5/24 (pow.f64 N 2)) (log.f64 N)) (/.f64 1/2 N)))
89.2%
(pow.f64 (E.f64) (-.f64 (neg.f64 (log.f64 N)) (/.f64 1/2 N)))
20.7%
(pow.f64 (E.f64) (log.f64 (-.f64 (log1p.f64 N) (log.f64 N))))
23.3%
(pow.f64 (E.f64) (log.f64 (log.f64 (/.f64 (+.f64 N 1) N))))
20.7%
(pow.f64 (E.f64) (cbrt.f64 (pow.f64 (log.f64 (-.f64 (log1p.f64 N) (log.f64 N))) 3)))
20.7%
(/.f64 (-.f64 (pow.f64 (log1p.f64 N) 2) (pow.f64 (log.f64 N) 2)) (+.f64 (log1p.f64 N) (log.f64 N)))
93.6%
(/.f64 (+.f64 (pow.f64 N 5) (*.f64 (pow.f64 N 4) -1/2)) (pow.f64 N 6))
87.0%
(/.f64 1 N)
94.0%
(-.f64 (/.f64 1 N) (/.f64 1/2 (pow.f64 N 2)))
97.2%
(-.f64 (+.f64 (/.f64 1 N) (/.f64 1/3 (pow.f64 N 3))) (+.f64 (/.f64 1/2 (pow.f64 N 2)) (/.f64 1/4 (pow.f64 N 4))))
20.7%
(-.f64 (log1p.f64 N) (log.f64 N))
96.2%
(+.f64 (/.f64 1 N) (+.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 -1/2 (pow.f64 N 2))))
95.5%
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (fma.f64 (/.f64 1 (sqrt.f64 N)) (/.f64 1 (sqrt.f64 N)) (*.f64 -1/2 (pow.f64 N -2))))
95.7%
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (pow.f64 (sqrt.f64 (-.f64 (/.f64 1 N) (*.f64 1/2 (pow.f64 N -2)))) 2))
94.4%
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (pow.f64 (cbrt.f64 (-.f64 (/.f64 1 N) (*.f64 1/2 (pow.f64 N -2)))) 3))
95.8%
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 (*.f64 N (-.f64 N 1/2)) (pow.f64 N 3)))
96.2%
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (-.f64 (/.f64 1 N) (/.f64 1/2 (pow.f64 N 2))))
21.7%
(*.f64 2 (+.f64 (log.f64 (cbrt.f64 (/.f64 (+.f64 N 1) N))) (log.f64 (cbrt.f64 (sqrt.f64 (/.f64 (+.f64 N 1) N))))))
16.6%
(*.f64 2 (log.f64 (+.f64 1 (/.f64 1/2 N))))
22.3%
(*.f64 2 (log.f64 (sqrt.f64 (/.f64 (+.f64 N 1) N))))
23.8%
(neg.f64 (log.f64 (/.f64 N (+.f64 N 1))))
23.3%
(log.f64 (+.f64 1 (/.f64 1 N)))
20.7%
(expm1.f64 (log1p.f64 (-.f64 (log1p.f64 N) (log.f64 N))))
20.7%
(exp.f64 (log.f64 (-.f64 (log1p.f64 N) (log.f64 N))))
Compiler

Compiled 788 to 630 computations (20.1% saved)

localize355.0ms (4.1%)

Localize:

Found 16 expressions with local error:

NewAccuracyProgram
99.2%
(cbrt.f64 (pow.f64 (log.f64 (-.f64 (log1p.f64 N) (log.f64 N))) 3))
98.8%
(pow.f64 (log.f64 (-.f64 (log1p.f64 N) (log.f64 N))) 3)
94.7%
(pow.f64 (E.f64) (cbrt.f64 (pow.f64 (log.f64 (-.f64 (log1p.f64 N) (log.f64 N))) 3)))
20.7%
(-.f64 (log1p.f64 N) (log.f64 N))
99.8%
(log1p.f64 (-.f64 (log1p.f64 N) (log.f64 N)))
99.8%
(expm1.f64 (log1p.f64 (-.f64 (log1p.f64 N) (log.f64 N))))
20.7%
(-.f64 (log1p.f64 N) (log.f64 N))
100.0%
(*.f64 N (-.f64 N 1/2))
99.9%
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 (*.f64 N (-.f64 N 1/2)) (pow.f64 N 3)))
99.5%
(/.f64 (*.f64 N (-.f64 N 1/2)) (pow.f64 N 3))
99.4%
(/.f64 1/3 (pow.f64 N 3))
23.3%
(log.f64 (+.f64 1 (/.f64 1 N)))
99.6%
(/.f64 1/2 (pow.f64 N 2))
99.6%
(/.f64 1/4 (pow.f64 N 4))
99.4%
(/.f64 1/3 (pow.f64 N 3))
99.3%
(pow.f64 (sqrt.f64 (-.f64 (-.f64 (+.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 1 N)) (/.f64 1/4 (pow.f64 N 4))) (/.f64 1/2 (pow.f64 N 2)))) 2)
Compiler

Compiled 257 to 163 computations (36.6% saved)

series31.0ms (0.4%)

Counts
10 → 112
Calls

30 calls:

TimeVariablePointExpression
3.0ms
N
@0
(pow.f64 (log.f64 (-.f64 (log1p.f64 N) (log.f64 N))) 3)
2.0ms
N
@-inf
(pow.f64 (log.f64 (-.f64 (log1p.f64 N) (log.f64 N))) 3)
2.0ms
N
@inf
(pow.f64 (log.f64 (-.f64 (log1p.f64 N) (log.f64 N))) 3)
2.0ms
N
@0
(cbrt.f64 (pow.f64 (log.f64 (-.f64 (log1p.f64 N) (log.f64 N))) 3))
2.0ms
N
@inf
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 (*.f64 N (-.f64 N 1/2)) (pow.f64 N 3)))

rewrite190.0ms (2.2%)

Algorithm
batch-egg-rewrite
Rules
306×log1p-expm1-u
305×expm1-log1p-u
290×fma-define
282×pow1
281×add-exp-log
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
041318
1729306
Stop Event
node limit
Counts
10 → 353
Calls
Call 1
Inputs
(pow.f64 (sqrt.f64 (-.f64 (-.f64 (+.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 1 N)) (/.f64 1/4 (pow.f64 N 4))) (/.f64 1/2 (pow.f64 N 2)))) 2)
(log.f64 (+.f64 1 (/.f64 1 N)))
(/.f64 (*.f64 N (-.f64 N 1/2)) (pow.f64 N 3))
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 (*.f64 N (-.f64 N 1/2)) (pow.f64 N 3)))
(*.f64 N (-.f64 N 1/2))
(expm1.f64 (log1p.f64 (-.f64 (log1p.f64 N) (log.f64 N))))
(log1p.f64 (-.f64 (log1p.f64 N) (log.f64 N)))
(pow.f64 (E.f64) (cbrt.f64 (pow.f64 (log.f64 (-.f64 (log1p.f64 N) (log.f64 N))) 3)))
(pow.f64 (log.f64 (-.f64 (log1p.f64 N) (log.f64 N))) 3)
(cbrt.f64 (pow.f64 (log.f64 (-.f64 (log1p.f64 N) (log.f64 N))) 3))
Outputs
(+.f64 (-.f64 (fma.f64 1/3 (pow.f64 N -3) (/.f64 1 N)) (*.f64 1/4 (pow.f64 N -4))) (neg.f64 (*.f64 1/2 (pow.f64 N -2))))
(+.f64 (-.f64 (fma.f64 1/3 (pow.f64 N -3) (/.f64 1 N)) (fma.f64 1/4 (pow.f64 N -4) (*.f64 1/2 (pow.f64 N -2)))) 0)
(+.f64 (-.f64 (fma.f64 1/3 (pow.f64 N -3) (/.f64 1 N)) (fma.f64 1/4 (pow.f64 N -4) (*.f64 1/2 (pow.f64 N -2)))) (fma.f64 (neg.f64 (/.f64 (sqrt.f64 1/2) N)) (/.f64 (sqrt.f64 1/2) N) (*.f64 1/2 (pow.f64 N -2))))
(+.f64 (fma.f64 1 (-.f64 (fma.f64 1/3 (pow.f64 N -3) (/.f64 1 N)) (*.f64 1/4 (pow.f64 N -4))) (neg.f64 (*.f64 (*.f64 1/2 (pow.f64 N -2)) 1))) (fma.f64 (neg.f64 (*.f64 1/2 (pow.f64 N -2))) 1 (*.f64 (*.f64 1/2 (pow.f64 N -2)) 1)))
(+.f64 (fma.f64 1 (-.f64 (fma.f64 1/3 (pow.f64 N -3) (/.f64 1 N)) (*.f64 1/4 (pow.f64 N -4))) (neg.f64 (*.f64 (pow.f64 N -2) 1/2))) (fma.f64 (neg.f64 (pow.f64 N -2)) 1/2 (*.f64 (pow.f64 N -2) 1/2)))
(+.f64 (fma.f64 1 (-.f64 (fma.f64 1/3 (pow.f64 N -3) (/.f64 1 N)) (*.f64 1/4 (pow.f64 N -4))) (neg.f64 (*.f64 (cbrt.f64 (*.f64 1/2 (pow.f64 N -2))) (cbrt.f64 (*.f64 1/4 (pow.f64 N -4)))))) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 1/2 (pow.f64 N -2)))) (cbrt.f64 (*.f64 1/4 (pow.f64 N -4))) (*.f64 (cbrt.f64 (*.f64 1/2 (pow.f64 N -2))) (cbrt.f64 (*.f64 1/4 (pow.f64 N -4))))))
(+.f64 (fma.f64 (pow.f64 (cbrt.f64 (-.f64 (fma.f64 1/3 (pow.f64 N -3) (/.f64 1 N)) (*.f64 1/4 (pow.f64 N -4)))) 2) (cbrt.f64 (-.f64 (fma.f64 1/3 (pow.f64 N -3) (/.f64 1 N)) (*.f64 1/4 (pow.f64 N -4)))) (neg.f64 (*.f64 (*.f64 1/2 (pow.f64 N -2)) 1))) (fma.f64 (neg.f64 (*.f64 1/2 (pow.f64 N -2))) 1 (*.f64 (*.f64 1/2 (pow.f64 N -2)) 1)))
(+.f64 (fma.f64 (pow.f64 (cbrt.f64 (-.f64 (fma.f64 1/3 (pow.f64 N -3) (/.f64 1 N)) (*.f64 1/4 (pow.f64 N -4)))) 2) (cbrt.f64 (-.f64 (fma.f64 1/3 (pow.f64 N -3) (/.f64 1 N)) (*.f64 1/4 (pow.f64 N -4)))) (neg.f64 (*.f64 (pow.f64 N -2) 1/2))) (fma.f64 (neg.f64 (pow.f64 N -2)) 1/2 (*.f64 (pow.f64 N -2) 1/2)))
(+.f64 (fma.f64 (pow.f64 (cbrt.f64 (-.f64 (fma.f64 1/3 (pow.f64 N -3) (/.f64 1 N)) (*.f64 1/4 (pow.f64 N -4)))) 2) (cbrt.f64 (-.f64 (fma.f64 1/3 (pow.f64 N -3) (/.f64 1 N)) (*.f64 1/4 (pow.f64 N -4)))) (neg.f64 (*.f64 (cbrt.f64 (*.f64 1/2 (pow.f64 N -2))) (cbrt.f64 (*.f64 1/4 (pow.f64 N -4)))))) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 1/2 (pow.f64 N -2)))) (cbrt.f64 (*.f64 1/4 (pow.f64 N -4))) (*.f64 (cbrt.f64 (*.f64 1/2 (pow.f64 N -2))) (cbrt.f64 (*.f64 1/4 (pow.f64 N -4))))))
(+.f64 (fma.f64 (sqrt.f64 (-.f64 (fma.f64 1/3 (pow.f64 N -3) (/.f64 1 N)) (*.f64 1/4 (pow.f64 N -4)))) (sqrt.f64 (-.f64 (fma.f64 1/3 (pow.f64 N -3) (/.f64 1 N)) (*.f64 1/4 (pow.f64 N -4)))) (neg.f64 (*.f64 (*.f64 1/2 (pow.f64 N -2)) 1))) (fma.f64 (neg.f64 (*.f64 1/2 (pow.f64 N -2))) 1 (*.f64 (*.f64 1/2 (pow.f64 N -2)) 1)))
(+.f64 (fma.f64 (sqrt.f64 (-.f64 (fma.f64 1/3 (pow.f64 N -3) (/.f64 1 N)) (*.f64 1/4 (pow.f64 N -4)))) (sqrt.f64 (-.f64 (fma.f64 1/3 (pow.f64 N -3) (/.f64 1 N)) (*.f64 1/4 (pow.f64 N -4)))) (neg.f64 (*.f64 (pow.f64 N -2) 1/2))) (fma.f64 (neg.f64 (pow.f64 N -2)) 1/2 (*.f64 (pow.f64 N -2) 1/2)))
(+.f64 (fma.f64 (sqrt.f64 (-.f64 (fma.f64 1/3 (pow.f64 N -3) (/.f64 1 N)) (*.f64 1/4 (pow.f64 N -4)))) (sqrt.f64 (-.f64 (fma.f64 1/3 (pow.f64 N -3) (/.f64 1 N)) (*.f64 1/4 (pow.f64 N -4)))) (neg.f64 (*.f64 (cbrt.f64 (*.f64 1/2 (pow.f64 N -2))) (cbrt.f64 (*.f64 1/4 (pow.f64 N -4)))))) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 1/2 (pow.f64 N -2)))) (cbrt.f64 (*.f64 1/4 (pow.f64 N -4))) (*.f64 (cbrt.f64 (*.f64 1/2 (pow.f64 N -2))) (cbrt.f64 (*.f64 1/4 (pow.f64 N -4))))))
(-.f64 (fma.f64 1/3 (pow.f64 N -3) (/.f64 1 N)) (fma.f64 1/4 (pow.f64 N -4) (*.f64 1/2 (pow.f64 N -2))))
(-.f64 (-.f64 (fma.f64 1/3 (pow.f64 N -3) (/.f64 1 N)) (*.f64 1/4 (pow.f64 N -4))) (*.f64 1/2 (pow.f64 N -2)))
(-.f64 (exp.f64 (log1p.f64 (-.f64 (fma.f64 1/3 (pow.f64 N -3) (/.f64 1 N)) (fma.f64 1/4 (pow.f64 N -4) (*.f64 1/2 (pow.f64 N -2)))))) 1)
(-.f64 (/.f64 (pow.f64 (-.f64 (fma.f64 1/3 (pow.f64 N -3) (/.f64 1 N)) (*.f64 1/4 (pow.f64 N -4))) 3) (+.f64 (pow.f64 (-.f64 (fma.f64 1/3 (pow.f64 N -3) (/.f64 1 N)) (*.f64 1/4 (pow.f64 N -4))) 2) (+.f64 (*.f64 1/4 (pow.f64 N -4)) (*.f64 (-.f64 (fma.f64 1/3 (pow.f64 N -3) (/.f64 1 N)) (*.f64 1/4 (pow.f64 N -4))) (*.f64 1/2 (pow.f64 N -2)))))) (/.f64 (/.f64 1/8 (pow.f64 N 6)) (+.f64 (pow.f64 (-.f64 (fma.f64 1/3 (pow.f64 N -3) (/.f64 1 N)) (*.f64 1/4 (pow.f64 N -4))) 2) (+.f64 (*.f64 1/4 (pow.f64 N -4)) (*.f64 (-.f64 (fma.f64 1/3 (pow.f64 N -3) (/.f64 1 N)) (*.f64 1/4 (pow.f64 N -4))) (*.f64 1/2 (pow.f64 N -2)))))))
(-.f64 (/.f64 (pow.f64 (-.f64 (fma.f64 1/3 (pow.f64 N -3) (/.f64 1 N)) (*.f64 1/4 (pow.f64 N -4))) 2) (+.f64 (-.f64 (fma.f64 1/3 (pow.f64 N -3) (/.f64 1 N)) (*.f64 1/4 (pow.f64 N -4))) (*.f64 1/2 (pow.f64 N -2)))) (/.f64 (*.f64 1/4 (pow.f64 N -4)) (+.f64 (-.f64 (fma.f64 1/3 (pow.f64 N -3) (/.f64 1 N)) (*.f64 1/4 (pow.f64 N -4))) (*.f64 1/2 (pow.f64 N -2)))))
(*.f64 1 (-.f64 (fma.f64 1/3 (pow.f64 N -3) (/.f64 1 N)) (fma.f64 1/4 (pow.f64 N -4) (*.f64 1/2 (pow.f64 N -2)))))
(*.f64 (sqrt.f64 (-.f64 (fma.f64 1/3 (pow.f64 N -3) (/.f64 1 N)) (fma.f64 1/4 (pow.f64 N -4) (*.f64 1/2 (pow.f64 N -2))))) (sqrt.f64 (-.f64 (fma.f64 1/3 (pow.f64 N -3) (/.f64 1 N)) (fma.f64 1/4 (pow.f64 N -4) (*.f64 1/2 (pow.f64 N -2))))))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 (fma.f64 1/3 (pow.f64 N -3) (/.f64 1 N)) (fma.f64 1/4 (pow.f64 N -4) (*.f64 1/2 (pow.f64 N -2))))) 2) (cbrt.f64 (-.f64 (fma.f64 1/3 (pow.f64 N -3) (/.f64 1 N)) (fma.f64 1/4 (pow.f64 N -4) (*.f64 1/2 (pow.f64 N -2))))))
(/.f64 (-.f64 (pow.f64 (-.f64 (fma.f64 1/3 (pow.f64 N -3) (/.f64 1 N)) (*.f64 1/4 (pow.f64 N -4))) 3) (/.f64 1/8 (pow.f64 N 6))) (+.f64 (pow.f64 (-.f64 (fma.f64 1/3 (pow.f64 N -3) (/.f64 1 N)) (*.f64 1/4 (pow.f64 N -4))) 2) (+.f64 (*.f64 1/4 (pow.f64 N -4)) (*.f64 (-.f64 (fma.f64 1/3 (pow.f64 N -3) (/.f64 1 N)) (*.f64 1/4 (pow.f64 N -4))) (*.f64 1/2 (pow.f64 N -2))))))
(/.f64 (-.f64 (pow.f64 (-.f64 (fma.f64 1/3 (pow.f64 N -3) (/.f64 1 N)) (*.f64 1/4 (pow.f64 N -4))) 2) (*.f64 1/4 (pow.f64 N -4))) (+.f64 (-.f64 (fma.f64 1/3 (pow.f64 N -3) (/.f64 1 N)) (*.f64 1/4 (pow.f64 N -4))) (*.f64 1/2 (pow.f64 N -2))))
(/.f64 (-.f64 (*.f64 (-.f64 (pow.f64 (fma.f64 1/3 (pow.f64 N -3) (/.f64 1 N)) 3) (pow.f64 (*.f64 1/4 (pow.f64 N -4)) 3)) (/.f64 (pow.f64 N 2) 1/2)) (*.f64 (+.f64 (pow.f64 (fma.f64 1/3 (pow.f64 N -3) (/.f64 1 N)) 2) (+.f64 (/.f64 1/16 (pow.f64 N 8)) (*.f64 (fma.f64 1/3 (pow.f64 N -3) (/.f64 1 N)) (*.f64 1/4 (pow.f64 N -4))))) 1)) (*.f64 (+.f64 (pow.f64 (fma.f64 1/3 (pow.f64 N -3) (/.f64 1 N)) 2) (+.f64 (/.f64 1/16 (pow.f64 N 8)) (*.f64 (fma.f64 1/3 (pow.f64 N -3) (/.f64 1 N)) (*.f64 1/4 (pow.f64 N -4))))) (/.f64 (pow.f64 N 2) 1/2)))
(/.f64 (-.f64 (*.f64 (-.f64 (pow.f64 (fma.f64 1/3 (pow.f64 N -3) (/.f64 1 N)) 3) (pow.f64 (*.f64 1/4 (pow.f64 N -4)) 3)) (pow.f64 N 2)) (*.f64 (+.f64 (pow.f64 (fma.f64 1/3 (pow.f64 N -3) (/.f64 1 N)) 2) (+.f64 (/.f64 1/16 (pow.f64 N 8)) (*.f64 (fma.f64 1/3 (pow.f64 N -3) (/.f64 1 N)) (*.f64 1/4 (pow.f64 N -4))))) 1/2)) (*.f64 (+.f64 (pow.f64 (fma.f64 1/3 (pow.f64 N -3) (/.f64 1 N)) 2) (+.f64 (/.f64 1/16 (pow.f64 N 8)) (*.f64 (fma.f64 1/3 (pow.f64 N -3) (/.f64 1 N)) (*.f64 1/4 (pow.f64 N -4))))) (pow.f64 N 2)))
(/.f64 (-.f64 (*.f64 (-.f64 (pow.f64 (fma.f64 1/3 (pow.f64 N -3) (/.f64 1 N)) 3) (pow.f64 (*.f64 1/4 (pow.f64 N -4)) 3)) (neg.f64 (pow.f64 N 2))) (*.f64 (+.f64 (pow.f64 (fma.f64 1/3 (pow.f64 N -3) (/.f64 1 N)) 2) (+.f64 (/.f64 1/16 (pow.f64 N 8)) (*.f64 (fma.f64 1/3 (pow.f64 N -3) (/.f64 1 N)) (*.f64 1/4 (pow.f64 N -4))))) -1/2)) (*.f64 (+.f64 (pow.f64 (fma.f64 1/3 (pow.f64 N -3) (/.f64 1 N)) 2) (+.f64 (/.f64 1/16 (pow.f64 N 8)) (*.f64 (fma.f64 1/3 (pow.f64 N -3) (/.f64 1 N)) (*.f64 1/4 (pow.f64 N -4))))) (neg.f64 (pow.f64 N 2))))
(/.f64 (-.f64 (*.f64 (-.f64 (pow.f64 (fma.f64 1/3 (pow.f64 N -3) (/.f64 1 N)) 2) (/.f64 1/16 (pow.f64 N 8))) (/.f64 (pow.f64 N 2) 1/2)) (*.f64 (+.f64 (fma.f64 1/3 (pow.f64 N -3) (/.f64 1 N)) (*.f64 1/4 (pow.f64 N -4))) 1)) (*.f64 (+.f64 (fma.f64 1/3 (pow.f64 N -3) (/.f64 1 N)) (*.f64 1/4 (pow.f64 N -4))) (/.f64 (pow.f64 N 2) 1/2)))
(/.f64 (-.f64 (*.f64 (-.f64 (pow.f64 (fma.f64 1/3 (pow.f64 N -3) (/.f64 1 N)) 2) (/.f64 1/16 (pow.f64 N 8))) (pow.f64 N 2)) (*.f64 (+.f64 (fma.f64 1/3 (pow.f64 N -3) (/.f64 1 N)) (*.f64 1/4 (pow.f64 N -4))) 1/2)) (*.f64 (+.f64 (fma.f64 1/3 (pow.f64 N -3) (/.f64 1 N)) (*.f64 1/4 (pow.f64 N -4))) (pow.f64 N 2)))
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(+.f64 (fma.f64 1 (log1p.f64 N) (neg.f64 (*.f64 (cbrt.f64 (log.f64 N)) (pow.f64 (cbrt.f64 (log.f64 N)) 2)))) (fma.f64 (neg.f64 (cbrt.f64 (log.f64 N))) (pow.f64 (cbrt.f64 (log.f64 N)) 2) (*.f64 (cbrt.f64 (log.f64 N)) (pow.f64 (cbrt.f64 (log.f64 N)) 2))))
(+.f64 (fma.f64 (pow.f64 (cbrt.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 (pow.f64 (cbrt.f64 (log1p.f64 N)) 2) (cbrt.f64 (log1p.f64 N)) (neg.f64 (*.f64 (cbrt.f64 (log.f64 N)) (pow.f64 (cbrt.f64 (log.f64 N)) 2)))) (fma.f64 (neg.f64 (cbrt.f64 (log.f64 N))) (pow.f64 (cbrt.f64 (log.f64 N)) 2) (*.f64 (cbrt.f64 (log.f64 N)) (pow.f64 (cbrt.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)) (pow.f64 (cbrt.f64 (log.f64 N)) 2)))) (fma.f64 (neg.f64 (cbrt.f64 (log.f64 N))) (pow.f64 (cbrt.f64 (log.f64 N)) 2) (*.f64 (cbrt.f64 (log.f64 N)) (pow.f64 (cbrt.f64 (log.f64 N)) 2))))
(-.f64 (log1p.f64 N) (log.f64 N))
(-.f64 (+.f64 1 (-.f64 (log1p.f64 N) (log.f64 N))) 1)
(-.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 (-.f64 (log1p.f64 N) (log.f64 N)) 1)
(*.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 (pow.f64 1 (log.f64 (-.f64 (log1p.f64 N) (log.f64 N)))) (-.f64 (log1p.f64 N) (log.f64 N)))
(*.f64 (pow.f64 (cbrt.f64 (exp.f64 2)) (log.f64 (-.f64 (log1p.f64 N) (log.f64 N)))) (pow.f64 (cbrt.f64 (E.f64)) (log.f64 (-.f64 (log1p.f64 N) (log.f64 N)))))
(*.f64 (pow.f64 (sqrt.f64 (E.f64)) (log.f64 (-.f64 (log1p.f64 N) (log.f64 N)))) (pow.f64 (sqrt.f64 (E.f64)) (log.f64 (-.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 (log1p.f64 N) 2) (pow.f64 (log.f64 N) 2)) (+.f64 (log1p.f64 N) (log.f64 N)))
(/.f64 (neg.f64 (-.f64 (pow.f64 (log1p.f64 N) 3) (pow.f64 (log.f64 N) 3))) (neg.f64 (+.f64 (pow.f64 (log1p.f64 N) 2) (+.f64 (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 (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 (+.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))))))
(sqrt.f64 (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 2))
(log.f64 (/.f64 (+.f64 1 N) N))
(log.f64 (+.f64 1 (-.f64 (/.f64 (+.f64 1 N) 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 1 N) N) 1))
(exp.f64 (log.f64 (-.f64 (log1p.f64 N) (log.f64 N))))
(fma.f64 1 (log1p.f64 N) (neg.f64 (log.f64 N)))
(fma.f64 1 (-.f64 (log1p.f64 N) (log.f64 N)) 0)
(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 (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)
(+.f64 (pow.f64 (log.f64 (-.f64 (log1p.f64 N) (log.f64 N))) 3) 0)
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (log.f64 (-.f64 (log1p.f64 N) (log.f64 N))) 3))) 1)
(*.f64 1 (pow.f64 (log.f64 (-.f64 (log1p.f64 N) (log.f64 N))) 3))
(*.f64 (log.f64 (-.f64 (log1p.f64 N) (log.f64 N))) (pow.f64 (log.f64 (-.f64 (log1p.f64 N) (log.f64 N))) 2))
(*.f64 (pow.f64 (log.f64 (-.f64 (log1p.f64 N) (log.f64 N))) 2) (log.f64 (-.f64 (log1p.f64 N) (log.f64 N))))
(*.f64 (pow.f64 (log.f64 (-.f64 (log1p.f64 N) (log.f64 N))) 3/2) (pow.f64 (log.f64 (-.f64 (log1p.f64 N) (log.f64 N))) 3/2))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (log.f64 (-.f64 (log1p.f64 N) (log.f64 N)))) 2) 3) (log.f64 (-.f64 (log1p.f64 N) (log.f64 N))))
(*.f64 (pow.f64 (sqrt.f64 (log.f64 (-.f64 (log1p.f64 N) (log.f64 N)))) 3) (pow.f64 (sqrt.f64 (log.f64 (-.f64 (log1p.f64 N) (log.f64 N)))) 3))
(/.f64 (+.f64 (pow.f64 (pow.f64 (log.f64 (-.f64 (log1p.f64 N) (log.f64 N))) 3) 3) 0) (+.f64 (pow.f64 (log.f64 (-.f64 (log1p.f64 N) (log.f64 N))) 6) (-.f64 0 (*.f64 (pow.f64 (log.f64 (-.f64 (log1p.f64 N) (log.f64 N))) 3) 0))))
(sqrt.f64 (pow.f64 (log.f64 (-.f64 (log1p.f64 N) (log.f64 N))) 6))
(log.f64 (exp.f64 (pow.f64 (log.f64 (-.f64 (log1p.f64 N) (log.f64 N))) 3)))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (log.f64 (-.f64 (log1p.f64 N) (log.f64 N))) 3))))
(cbrt.f64 (pow.f64 (pow.f64 (log.f64 (-.f64 (log1p.f64 N) (log.f64 N))) 3) 3))
(expm1.f64 (log1p.f64 (pow.f64 (log.f64 (-.f64 (log1p.f64 N) (log.f64 N))) 3)))
(log1p.f64 (expm1.f64 (pow.f64 (log.f64 (-.f64 (log1p.f64 N) (log.f64 N))) 3)))
(exp.f64 (*.f64 3 (log.f64 (log.f64 (-.f64 (log1p.f64 N) (log.f64 N))))))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (log.f64 (-.f64 (log1p.f64 N) (log.f64 N))))) 1))
(fma.f64 1 (pow.f64 (log.f64 (-.f64 (log1p.f64 N) (log.f64 N))) 3) 0)
(fma.f64 (log.f64 (-.f64 (log1p.f64 N) (log.f64 N))) (pow.f64 (log.f64 (-.f64 (log1p.f64 N) (log.f64 N))) 2) 0)
(fma.f64 (pow.f64 (log.f64 (-.f64 (log1p.f64 N) (log.f64 N))) 2) (log.f64 (-.f64 (log1p.f64 N) (log.f64 N))) 0)
(fma.f64 (pow.f64 (log.f64 (-.f64 (log1p.f64 N) (log.f64 N))) 3/2) (pow.f64 (log.f64 (-.f64 (log1p.f64 N) (log.f64 N))) 3/2) 0)
(+.f64 (log.f64 (-.f64 (log1p.f64 N) (log.f64 N))) 0)
(+.f64 0 (log.f64 (-.f64 (log1p.f64 N) (log.f64 N))))
(+.f64 (log.f64 (sqrt.f64 (-.f64 (log1p.f64 N) (log.f64 N)))) (log.f64 (sqrt.f64 (-.f64 (log1p.f64 N) (log.f64 N)))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))) 2)) (log.f64 (cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N)))))
(-.f64 (exp.f64 (log1p.f64 (log.f64 (-.f64 (log1p.f64 N) (log.f64 N))))) 1)
(-.f64 (log.f64 (-.f64 (pow.f64 (log1p.f64 N) 3) (pow.f64 (log.f64 N) 3))) (log.f64 (+.f64 (pow.f64 (log1p.f64 N) 2) (+.f64 (pow.f64 (log.f64 N) 2) (*.f64 (log1p.f64 N) (log.f64 N))))))
(-.f64 (log.f64 (-.f64 (pow.f64 (log1p.f64 N) 2) (pow.f64 (log.f64 N) 2))) (log.f64 (+.f64 (log1p.f64 N) (log.f64 N))))
(*.f64 1 (log.f64 (-.f64 (log1p.f64 N) (log.f64 N))))
(*.f64 (log.f64 (-.f64 (log1p.f64 N) (log.f64 N))) 1)
(*.f64 (cbrt.f64 (log.f64 (-.f64 (log1p.f64 N) (log.f64 N)))) (pow.f64 (cbrt.f64 (log.f64 (-.f64 (log1p.f64 N) (log.f64 N)))) 2))
(*.f64 (cbrt.f64 (log.f64 (-.f64 (log1p.f64 N) (log.f64 N)))) (pow.f64 (pow.f64 (log.f64 (-.f64 (log1p.f64 N) (log.f64 N))) 2) 1/3))
(*.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 (sqrt.f64 (log.f64 (-.f64 (log1p.f64 N) (log.f64 N)))) (sqrt.f64 (log.f64 (-.f64 (log1p.f64 N) (log.f64 N)))))
(*.f64 (pow.f64 1 1/3) (log.f64 (-.f64 (log1p.f64 N) (log.f64 N))))
(*.f64 (pow.f64 (pow.f64 (log.f64 (-.f64 (log1p.f64 N) (log.f64 N))) 2) 1/3) (cbrt.f64 (log.f64 (-.f64 (log1p.f64 N) (log.f64 N)))))
(*.f64 (pow.f64 (pow.f64 (log.f64 (-.f64 (log1p.f64 N) (log.f64 N))) 3/2) 1/3) (pow.f64 (pow.f64 (log.f64 (-.f64 (log1p.f64 N) (log.f64 N))) 3/2) 1/3))
(/.f64 (pow.f64 (log.f64 (-.f64 (log1p.f64 N) (log.f64 N))) 3) (+.f64 (pow.f64 (log.f64 (-.f64 (log1p.f64 N) (log.f64 N))) 2) (-.f64 0 (*.f64 (log.f64 (-.f64 (log1p.f64 N) (log.f64 N))) 0))))
(pow.f64 (pow.f64 (log.f64 (-.f64 (log1p.f64 N) (log.f64 N))) 3) 1/3)
(pow.f64 (log.f64 (-.f64 (log1p.f64 N) (log.f64 N))) 1)
(pow.f64 (cbrt.f64 (log.f64 (-.f64 (log1p.f64 N) (log.f64 N)))) 3)
(pow.f64 (sqrt.f64 (log.f64 (-.f64 (log1p.f64 N) (log.f64 N)))) 2)
(sqrt.f64 (pow.f64 (log.f64 (-.f64 (log1p.f64 N) (log.f64 N))) 2))
(log.f64 (-.f64 (log1p.f64 N) (log.f64 N)))
(log.f64 (+.f64 1 (-.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 1)))
(expm1.f64 (log1p.f64 (log.f64 (-.f64 (log1p.f64 N) (log.f64 N)))))
(log1p.f64 (-.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 1))
(exp.f64 (log.f64 (log.f64 (-.f64 (log1p.f64 N) (log.f64 N)))))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (log.f64 (-.f64 (log1p.f64 N) (log.f64 N))))) 1/3))
(exp.f64 (*.f64 (log.f64 (log.f64 (-.f64 (log1p.f64 N) (log.f64 N)))) 1))
(fma.f64 1 (log.f64 (-.f64 (log1p.f64 N) (log.f64 N))) 0)
(fma.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)))) 0)
(fma.f64 (sqrt.f64 (log.f64 (-.f64 (log1p.f64 N) (log.f64 N)))) (sqrt.f64 (log.f64 (-.f64 (log1p.f64 N) (log.f64 N)))) 0)

simplify296.0ms (3.4%)

Algorithm
egg-herbie
Rules
1380×add0
1190×distribute-lft-in
812×times-frac
438×sqr-pow
390×+-commutative
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0111226681
1418625293
Stop Event
node limit
Counts
465 → 569
Calls
Call 1
Inputs
(/.f64 (pow.f64 (sqrt.f64 -1/4) 2) (pow.f64 N 4))
(+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 N 3))) (/.f64 (pow.f64 (sqrt.f64 -1/4) 2) (pow.f64 N 4)))
(+.f64 (*.f64 -1 (/.f64 (+.f64 1/2 (pow.f64 (/.f64 1/6 (sqrt.f64 -1/4)) 2)) (pow.f64 N 2))) (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 N 3))) (+.f64 (*.f64 1/36 (/.f64 1 (*.f64 (pow.f64 N 2) (pow.f64 (sqrt.f64 -1/4) 2)))) (/.f64 (pow.f64 (sqrt.f64 -1/4) 2) (pow.f64 N 4)))))
(+.f64 (*.f64 -1 (/.f64 (+.f64 1/2 (pow.f64 (/.f64 1/6 (sqrt.f64 -1/4)) 2)) (pow.f64 N 2))) (+.f64 (*.f64 1/36 (/.f64 1 (*.f64 (pow.f64 N 2) (pow.f64 (sqrt.f64 -1/4) 2)))) (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 N 3))) (+.f64 (/.f64 1 N) (/.f64 (pow.f64 (sqrt.f64 -1/4) 2) (pow.f64 N 4))))))
(*.f64 -1 (log.f64 N))
(+.f64 N (*.f64 -1 (log.f64 N)))
(+.f64 N (+.f64 (*.f64 -1 (log.f64 N)) (*.f64 -1/2 (pow.f64 N 2))))
(+.f64 N (+.f64 (*.f64 -1 (log.f64 N)) (+.f64 (*.f64 -1/2 (pow.f64 N 2)) (*.f64 1/3 (pow.f64 N 3)))))
(/.f64 1 N)
(-.f64 (/.f64 1 N) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 N 3))) (/.f64 1 N)) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 N 3))) (/.f64 1 N)) (+.f64 (*.f64 1/4 (/.f64 1 (pow.f64 N 4))) (*.f64 1/2 (/.f64 1 (pow.f64 N 2)))))
(/.f64 1 N)
(-.f64 (/.f64 1 N) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 N 3))) (/.f64 1 N)) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 N 3))) (/.f64 1 N)) (+.f64 (*.f64 1/4 (/.f64 1 (pow.f64 N 4))) (*.f64 1/2 (/.f64 1 (pow.f64 N 2)))))
(/.f64 -1/2 (pow.f64 N 2))
(-.f64 (/.f64 1 N) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (/.f64 1 N) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (/.f64 1 N) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(/.f64 1 N)
(-.f64 (/.f64 1 N) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (/.f64 1 N) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (/.f64 1 N) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(/.f64 1 N)
(-.f64 (/.f64 1 N) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (/.f64 1 N) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (/.f64 1 N) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(/.f64 1/3 (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 -1/2 N)
(+.f64 (*.f64 -1/2 N) (pow.f64 N 2))
(+.f64 (*.f64 -1/2 N) (pow.f64 N 2))
(+.f64 (*.f64 -1/2 N) (pow.f64 N 2))
(pow.f64 N 2)
(+.f64 (*.f64 -1/2 N) (pow.f64 N 2))
(+.f64 (*.f64 -1/2 N) (pow.f64 N 2))
(+.f64 (*.f64 -1/2 N) (pow.f64 N 2))
(pow.f64 N 2)
(+.f64 (*.f64 -1/2 N) (pow.f64 N 2))
(+.f64 (*.f64 -1/2 N) (pow.f64 N 2))
(+.f64 (*.f64 -1/2 N) (pow.f64 N 2))
(*.f64 -1 (log.f64 N))
(+.f64 N (*.f64 -1 (log.f64 N)))
(+.f64 N (+.f64 (*.f64 -1 (log.f64 N)) (*.f64 -1/2 (pow.f64 N 2))))
(+.f64 N (+.f64 (*.f64 -1 (log.f64 N)) (+.f64 (*.f64 -1/2 (pow.f64 N 2)) (*.f64 1/3 (pow.f64 N 3)))))
(/.f64 1 N)
(-.f64 (/.f64 1 N) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 N 3))) (/.f64 1 N)) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 N 3))) (/.f64 1 N)) (+.f64 (*.f64 1/4 (/.f64 1 (pow.f64 N 4))) (*.f64 1/2 (/.f64 1 (pow.f64 N 2)))))
(/.f64 1 N)
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(+.f64 (log.f64 (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))) 2)) (log.f64 (cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N)))))
(-.f64 (exp.f64 (log1p.f64 (log.f64 (-.f64 (log1p.f64 N) (log.f64 N))))) 1)
(-.f64 (log.f64 (-.f64 (pow.f64 (log1p.f64 N) 3) (pow.f64 (log.f64 N) 3))) (log.f64 (+.f64 (pow.f64 (log1p.f64 N) 2) (+.f64 (pow.f64 (log.f64 N) 2) (*.f64 (log1p.f64 N) (log.f64 N))))))
(-.f64 (log.f64 (-.f64 (pow.f64 (log1p.f64 N) 2) (pow.f64 (log.f64 N) 2))) (log.f64 (+.f64 (log1p.f64 N) (log.f64 N))))
(*.f64 1 (log.f64 (-.f64 (log1p.f64 N) (log.f64 N))))
(*.f64 (log.f64 (-.f64 (log1p.f64 N) (log.f64 N))) 1)
(*.f64 (cbrt.f64 (log.f64 (-.f64 (log1p.f64 N) (log.f64 N)))) (pow.f64 (cbrt.f64 (log.f64 (-.f64 (log1p.f64 N) (log.f64 N)))) 2))
(*.f64 (cbrt.f64 (log.f64 (-.f64 (log1p.f64 N) (log.f64 N)))) (pow.f64 (pow.f64 (log.f64 (-.f64 (log1p.f64 N) (log.f64 N))) 2) 1/3))
(*.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 (sqrt.f64 (log.f64 (-.f64 (log1p.f64 N) (log.f64 N)))) (sqrt.f64 (log.f64 (-.f64 (log1p.f64 N) (log.f64 N)))))
(*.f64 (pow.f64 1 1/3) (log.f64 (-.f64 (log1p.f64 N) (log.f64 N))))
(*.f64 (pow.f64 (pow.f64 (log.f64 (-.f64 (log1p.f64 N) (log.f64 N))) 2) 1/3) (cbrt.f64 (log.f64 (-.f64 (log1p.f64 N) (log.f64 N)))))
(*.f64 (pow.f64 (pow.f64 (log.f64 (-.f64 (log1p.f64 N) (log.f64 N))) 3/2) 1/3) (pow.f64 (pow.f64 (log.f64 (-.f64 (log1p.f64 N) (log.f64 N))) 3/2) 1/3))
(/.f64 (pow.f64 (log.f64 (-.f64 (log1p.f64 N) (log.f64 N))) 3) (+.f64 (pow.f64 (log.f64 (-.f64 (log1p.f64 N) (log.f64 N))) 2) (-.f64 0 (*.f64 (log.f64 (-.f64 (log1p.f64 N) (log.f64 N))) 0))))
(pow.f64 (pow.f64 (log.f64 (-.f64 (log1p.f64 N) (log.f64 N))) 3) 1/3)
(pow.f64 (log.f64 (-.f64 (log1p.f64 N) (log.f64 N))) 1)
(pow.f64 (cbrt.f64 (log.f64 (-.f64 (log1p.f64 N) (log.f64 N)))) 3)
(pow.f64 (sqrt.f64 (log.f64 (-.f64 (log1p.f64 N) (log.f64 N)))) 2)
(sqrt.f64 (pow.f64 (log.f64 (-.f64 (log1p.f64 N) (log.f64 N))) 2))
(log.f64 (-.f64 (log1p.f64 N) (log.f64 N)))
(log.f64 (+.f64 1 (-.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 1)))
(expm1.f64 (log1p.f64 (log.f64 (-.f64 (log1p.f64 N) (log.f64 N)))))
(log1p.f64 (-.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 1))
(exp.f64 (log.f64 (log.f64 (-.f64 (log1p.f64 N) (log.f64 N)))))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (log.f64 (-.f64 (log1p.f64 N) (log.f64 N))))) 1/3))
(exp.f64 (*.f64 (log.f64 (log.f64 (-.f64 (log1p.f64 N) (log.f64 N)))) 1))
(fma.f64 1 (log.f64 (-.f64 (log1p.f64 N) (log.f64 N))) 0)
(fma.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)))) 0)
(fma.f64 (sqrt.f64 (log.f64 (-.f64 (log1p.f64 N) (log.f64 N)))) (sqrt.f64 (log.f64 (-.f64 (log1p.f64 N) (log.f64 N)))) 0)
Outputs
(/.f64 (pow.f64 (sqrt.f64 -1/4) 2) (pow.f64 N 4))
(/.f64 -1/4 (pow.f64 N 4))
(+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 N 3))) (/.f64 (pow.f64 (sqrt.f64 -1/4) 2) (pow.f64 N 4)))
(+.f64 (/.f64 (pow.f64 (sqrt.f64 -1/4) 2) (pow.f64 N 4)) (/.f64 1/3 (pow.f64 N 3)))
(+.f64 (/.f64 -1/4 (pow.f64 N 4)) (/.f64 1/3 (pow.f64 N 3)))
(+.f64 (*.f64 -1 (/.f64 (+.f64 1/2 (pow.f64 (/.f64 1/6 (sqrt.f64 -1/4)) 2)) (pow.f64 N 2))) (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 N 3))) (+.f64 (*.f64 1/36 (/.f64 1 (*.f64 (pow.f64 N 2) (pow.f64 (sqrt.f64 -1/4) 2)))) (/.f64 (pow.f64 (sqrt.f64 -1/4) 2) (pow.f64 N 4)))))
(fma.f64 -1 (/.f64 (+.f64 1/2 (pow.f64 (/.f64 1/6 (sqrt.f64 -1/4)) 2)) (pow.f64 N 2)) (+.f64 (/.f64 1/3 (pow.f64 N 3)) (+.f64 (/.f64 (pow.f64 (sqrt.f64 -1/4) 2) (pow.f64 N 4)) (/.f64 1/36 (*.f64 (pow.f64 (sqrt.f64 -1/4) 2) (pow.f64 N 2))))))
(-.f64 (+.f64 (+.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 1/36 (*.f64 -1/4 (pow.f64 N 2)))) (/.f64 -1/4 (pow.f64 N 4))) (/.f64 (+.f64 1/2 (pow.f64 (/.f64 1/6 (sqrt.f64 -1/4)) 2)) (pow.f64 N 2)))
(+.f64 (*.f64 -1 (/.f64 (+.f64 1/2 (pow.f64 (/.f64 1/6 (sqrt.f64 -1/4)) 2)) (pow.f64 N 2))) (+.f64 (*.f64 1/36 (/.f64 1 (*.f64 (pow.f64 N 2) (pow.f64 (sqrt.f64 -1/4) 2)))) (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 N 3))) (+.f64 (/.f64 1 N) (/.f64 (pow.f64 (sqrt.f64 -1/4) 2) (pow.f64 N 4))))))
(fma.f64 -1 (/.f64 (+.f64 1/2 (pow.f64 (/.f64 1/6 (sqrt.f64 -1/4)) 2)) (pow.f64 N 2)) (+.f64 (/.f64 1/36 (*.f64 (pow.f64 (sqrt.f64 -1/4) 2) (pow.f64 N 2))) (+.f64 (/.f64 1/3 (pow.f64 N 3)) (+.f64 (/.f64 (pow.f64 (sqrt.f64 -1/4) 2) (pow.f64 N 4)) (/.f64 1 N)))))
(-.f64 (+.f64 (+.f64 (/.f64 1/36 (*.f64 -1/4 (pow.f64 N 2))) (/.f64 1/3 (pow.f64 N 3))) (+.f64 (/.f64 -1/4 (pow.f64 N 4)) (/.f64 1 N))) (/.f64 (+.f64 1/2 (pow.f64 (/.f64 1/6 (sqrt.f64 -1/4)) 2)) (pow.f64 N 2)))
(*.f64 -1 (log.f64 N))
(neg.f64 (log.f64 N))
(+.f64 N (*.f64 -1 (log.f64 N)))
(+.f64 N (neg.f64 (log.f64 N)))
(-.f64 N (log.f64 N))
(+.f64 N (+.f64 (*.f64 -1 (log.f64 N)) (*.f64 -1/2 (pow.f64 N 2))))
(+.f64 N (fma.f64 -1 (log.f64 N) (*.f64 (pow.f64 N 2) -1/2)))
(+.f64 N (-.f64 (*.f64 (pow.f64 N 2) -1/2) (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 (-.f64 N (log.f64 N)) (fma.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 1 N) (/.f64 1/2 (pow.f64 N 2)))
(+.f64 (/.f64 1 N) (/.f64 -1/2 (pow.f64 N 2)))
(-.f64 (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 N 3))) (/.f64 1 N)) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (-.f64 (/.f64 1 N) (/.f64 1/2 (pow.f64 N 2))))
(+.f64 (/.f64 1/3 (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 1/4 (/.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 1 N)
(-.f64 (/.f64 1 N) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (/.f64 1 N) (/.f64 1/2 (pow.f64 N 2)))
(+.f64 (/.f64 1 N) (/.f64 -1/2 (pow.f64 N 2)))
(-.f64 (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 N 3))) (/.f64 1 N)) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (-.f64 (/.f64 1 N) (/.f64 1/2 (pow.f64 N 2))))
(+.f64 (/.f64 1/3 (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 1/4 (/.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 -1/2 (pow.f64 N 2))
(-.f64 (/.f64 1 N) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (/.f64 1 N) (/.f64 1/2 (pow.f64 N 2)))
(+.f64 (/.f64 1 N) (/.f64 -1/2 (pow.f64 N 2)))
(-.f64 (/.f64 1 N) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (/.f64 1 N) (/.f64 1/2 (pow.f64 N 2)))
(+.f64 (/.f64 1 N) (/.f64 -1/2 (pow.f64 N 2)))
(-.f64 (/.f64 1 N) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (/.f64 1 N) (/.f64 1/2 (pow.f64 N 2)))
(+.f64 (/.f64 1 N) (/.f64 -1/2 (pow.f64 N 2)))
(/.f64 1 N)
(-.f64 (/.f64 1 N) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (/.f64 1 N) (/.f64 1/2 (pow.f64 N 2)))
(+.f64 (/.f64 1 N) (/.f64 -1/2 (pow.f64 N 2)))
(-.f64 (/.f64 1 N) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (/.f64 1 N) (/.f64 1/2 (pow.f64 N 2)))
(+.f64 (/.f64 1 N) (/.f64 -1/2 (pow.f64 N 2)))
(-.f64 (/.f64 1 N) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (/.f64 1 N) (/.f64 1/2 (pow.f64 N 2)))
(+.f64 (/.f64 1 N) (/.f64 -1/2 (pow.f64 N 2)))
(/.f64 1 N)
(-.f64 (/.f64 1 N) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (/.f64 1 N) (/.f64 1/2 (pow.f64 N 2)))
(+.f64 (/.f64 1 N) (/.f64 -1/2 (pow.f64 N 2)))
(-.f64 (/.f64 1 N) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (/.f64 1 N) (/.f64 1/2 (pow.f64 N 2)))
(+.f64 (/.f64 1 N) (/.f64 -1/2 (pow.f64 N 2)))
(-.f64 (/.f64 1 N) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (/.f64 1 N) (/.f64 1/2 (pow.f64 N 2)))
(+.f64 (/.f64 1 N) (/.f64 -1/2 (pow.f64 N 2)))
(/.f64 1/3 (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 1/3 (pow.f64 N 3)) (/.f64 1/2 (pow.f64 N 2)))
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 -1/2 (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 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 1 N) (/.f64 -1/2 (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 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 1 N) (/.f64 -1/2 (pow.f64 N 2))))
(/.f64 1 N)
(-.f64 (/.f64 1 N) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (/.f64 1 N) (/.f64 1/2 (pow.f64 N 2)))
(+.f64 (/.f64 1 N) (/.f64 -1/2 (pow.f64 N 2)))
(-.f64 (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 N 3))) (/.f64 1 N)) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (-.f64 (/.f64 1 N) (/.f64 1/2 (pow.f64 N 2))))
(+.f64 (/.f64 1/3 (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 1/2 (/.f64 1 (pow.f64 N 2))))
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (-.f64 (/.f64 1 N) (/.f64 1/2 (pow.f64 N 2))))
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (+.f64 (/.f64 1 N) (/.f64 -1/2 (pow.f64 N 2))))
(/.f64 1 N)
(-.f64 (/.f64 1 N) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (/.f64 1 N) (/.f64 1/2 (pow.f64 N 2)))
(+.f64 (/.f64 1 N) (/.f64 -1/2 (pow.f64 N 2)))
(-.f64 (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 N 3))) (/.f64 1 N)) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (-.f64 (/.f64 1 N) (/.f64 1/2 (pow.f64 N 2))))
(+.f64 (/.f64 1/3 (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 1/2 (/.f64 1 (pow.f64 N 2))))
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (-.f64 (/.f64 1 N) (/.f64 1/2 (pow.f64 N 2))))
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (+.f64 (/.f64 1 N) (/.f64 -1/2 (pow.f64 N 2))))
(*.f64 -1/2 N)
(*.f64 N -1/2)
(+.f64 (*.f64 -1/2 N) (pow.f64 N 2))
(*.f64 N (+.f64 N -1/2))
(+.f64 (*.f64 -1/2 N) (pow.f64 N 2))
(*.f64 N (+.f64 N -1/2))
(+.f64 (*.f64 -1/2 N) (pow.f64 N 2))
(*.f64 N (+.f64 N -1/2))
(pow.f64 N 2)
(+.f64 (*.f64 -1/2 N) (pow.f64 N 2))
(*.f64 N (+.f64 N -1/2))
(+.f64 (*.f64 -1/2 N) (pow.f64 N 2))
(*.f64 N (+.f64 N -1/2))
(+.f64 (*.f64 -1/2 N) (pow.f64 N 2))
(*.f64 N (+.f64 N -1/2))
(pow.f64 N 2)
(+.f64 (*.f64 -1/2 N) (pow.f64 N 2))
(*.f64 N (+.f64 N -1/2))
(+.f64 (*.f64 -1/2 N) (pow.f64 N 2))
(*.f64 N (+.f64 N -1/2))
(+.f64 (*.f64 -1/2 N) (pow.f64 N 2))
(*.f64 N (+.f64 N -1/2))
(*.f64 -1 (log.f64 N))
(neg.f64 (log.f64 N))
(+.f64 N (*.f64 -1 (log.f64 N)))
(+.f64 N (neg.f64 (log.f64 N)))
(-.f64 N (log.f64 N))
(+.f64 N (+.f64 (*.f64 -1 (log.f64 N)) (*.f64 -1/2 (pow.f64 N 2))))
(+.f64 N (fma.f64 -1 (log.f64 N) (*.f64 (pow.f64 N 2) -1/2)))
(+.f64 N (-.f64 (*.f64 (pow.f64 N 2) -1/2) (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 (-.f64 N (log.f64 N)) (fma.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 1 N) (/.f64 1/2 (pow.f64 N 2)))
(+.f64 (/.f64 1 N) (/.f64 -1/2 (pow.f64 N 2)))
(-.f64 (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 N 3))) (/.f64 1 N)) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (-.f64 (/.f64 1 N) (/.f64 1/2 (pow.f64 N 2))))
(+.f64 (/.f64 1/3 (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 1/4 (/.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 1 N)
(-.f64 (/.f64 1 N) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (/.f64 1 N) (/.f64 1/2 (pow.f64 N 2)))
(+.f64 (/.f64 1 N) (/.f64 -1/2 (pow.f64 N 2)))
(-.f64 (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 N 3))) (/.f64 1 N)) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (-.f64 (/.f64 1 N) (/.f64 1/2 (pow.f64 N 2))))
(+.f64 (/.f64 1/3 (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 1/4 (/.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)))))
(log.f64 (-.f64 1 (log.f64 N)))
(log1p.f64 (neg.f64 (log.f64 N)))
(+.f64 (log.f64 (-.f64 1 (log.f64 N))) (/.f64 N (-.f64 1 (log.f64 N))))
(+.f64 (log1p.f64 (neg.f64 (log.f64 N))) (/.f64 N (-.f64 1 (log.f64 N))))
(+.f64 (log.f64 (-.f64 1 (log.f64 N))) (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 N 2) (+.f64 (/.f64 1 (-.f64 1 (log.f64 N))) (/.f64 1 (pow.f64 (-.f64 1 (log.f64 N)) 2))))) (/.f64 N (-.f64 1 (log.f64 N)))))
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(sqrt.f64 (pow.f64 (log.f64 (-.f64 (log1p.f64 N) (log.f64 N))) 6))
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(pow.f64 (log.f64 (-.f64 (log1p.f64 N) (log.f64 N))) 3)
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (log.f64 (-.f64 (log1p.f64 N) (log.f64 N))) 3))))
(pow.f64 (log.f64 (-.f64 (log1p.f64 N) (log.f64 N))) 3)
(cbrt.f64 (pow.f64 (pow.f64 (log.f64 (-.f64 (log1p.f64 N) (log.f64 N))) 3) 3))
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(expm1.f64 (log1p.f64 (pow.f64 (log.f64 (-.f64 (log1p.f64 N) (log.f64 N))) 3)))
(log1p.f64 (expm1.f64 (pow.f64 (log.f64 (-.f64 (log1p.f64 N) (log.f64 N))) 3)))
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(exp.f64 (*.f64 3 (log.f64 (log.f64 (-.f64 (log1p.f64 N) (log.f64 N))))))
(pow.f64 (log.f64 (-.f64 (log1p.f64 N) (log.f64 N))) 3)
(exp.f64 (*.f64 (*.f64 3 (log.f64 (log.f64 (-.f64 (log1p.f64 N) (log.f64 N))))) 1))
(pow.f64 (log.f64 (-.f64 (log1p.f64 N) (log.f64 N))) 3)
(fma.f64 1 (pow.f64 (log.f64 (-.f64 (log1p.f64 N) (log.f64 N))) 3) 0)
(pow.f64 (log.f64 (-.f64 (log1p.f64 N) (log.f64 N))) 3)
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(pow.f64 (log.f64 (-.f64 (log1p.f64 N) (log.f64 N))) 3)
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(pow.f64 (log.f64 (-.f64 (log1p.f64 N) (log.f64 N))) 3)
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(pow.f64 (log.f64 (-.f64 (log1p.f64 N) (log.f64 N))) 3)
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(log.f64 (-.f64 (log1p.f64 N) (log.f64 N)))
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(log.f64 (-.f64 (log1p.f64 N) (log.f64 N)))
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(log.f64 (-.f64 (log1p.f64 N) (log.f64 N)))
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(log.f64 (-.f64 (log1p.f64 N) (log.f64 N)))
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(-.f64 (log.f64 (-.f64 (pow.f64 (log1p.f64 N) 3) (pow.f64 (log.f64 N) 3))) (log.f64 (+.f64 (pow.f64 (log1p.f64 N) 2) (+.f64 (pow.f64 (log.f64 N) 2) (*.f64 (log1p.f64 N) (log.f64 N))))))
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(-.f64 (log.f64 (-.f64 (pow.f64 (log1p.f64 N) 3) (pow.f64 (log.f64 N) 3))) (log.f64 (+.f64 (+.f64 (pow.f64 (log1p.f64 N) 2) (pow.f64 (log.f64 N) 2)) (*.f64 (log.f64 N) (log1p.f64 N)))))
(-.f64 (log.f64 (-.f64 (pow.f64 (log1p.f64 N) 2) (pow.f64 (log.f64 N) 2))) (log.f64 (+.f64 (log1p.f64 N) (log.f64 N))))
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(*.f64 (cbrt.f64 (log.f64 (-.f64 (log1p.f64 N) (log.f64 N)))) (pow.f64 (cbrt.f64 (log.f64 (-.f64 (log1p.f64 N) (log.f64 N)))) 2))
(log.f64 (-.f64 (log1p.f64 N) (log.f64 N)))
(*.f64 (cbrt.f64 (log.f64 (-.f64 (log1p.f64 N) (log.f64 N)))) (pow.f64 (pow.f64 (log.f64 (-.f64 (log1p.f64 N) (log.f64 N))) 2) 1/3))
(*.f64 (cbrt.f64 (log.f64 (-.f64 (log1p.f64 N) (log.f64 N)))) (cbrt.f64 (pow.f64 (log.f64 (-.f64 (log1p.f64 N) (log.f64 N))) 2)))
(*.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)))))
(log.f64 (-.f64 (log1p.f64 N) (log.f64 N)))
(*.f64 (sqrt.f64 (log.f64 (-.f64 (log1p.f64 N) (log.f64 N)))) (sqrt.f64 (log.f64 (-.f64 (log1p.f64 N) (log.f64 N)))))
(log.f64 (-.f64 (log1p.f64 N) (log.f64 N)))
(*.f64 (pow.f64 1 1/3) (log.f64 (-.f64 (log1p.f64 N) (log.f64 N))))
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(*.f64 (cbrt.f64 (pow.f64 (log.f64 (-.f64 (log1p.f64 N) (log.f64 N))) 3/2)) (cbrt.f64 (pow.f64 (log.f64 (-.f64 (log1p.f64 N) (log.f64 N))) 3/2)))
(/.f64 (pow.f64 (log.f64 (-.f64 (log1p.f64 N) (log.f64 N))) 3) (+.f64 (pow.f64 (log.f64 (-.f64 (log1p.f64 N) (log.f64 N))) 2) (-.f64 0 (*.f64 (log.f64 (-.f64 (log1p.f64 N) (log.f64 N))) 0))))
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(log.f64 (-.f64 (log1p.f64 N) (log.f64 N)))
(pow.f64 (cbrt.f64 (log.f64 (-.f64 (log1p.f64 N) (log.f64 N)))) 3)
(log.f64 (-.f64 (log1p.f64 N) (log.f64 N)))
(pow.f64 (sqrt.f64 (log.f64 (-.f64 (log1p.f64 N) (log.f64 N)))) 2)
(log.f64 (-.f64 (log1p.f64 N) (log.f64 N)))
(sqrt.f64 (pow.f64 (log.f64 (-.f64 (log1p.f64 N) (log.f64 N))) 2))
(fabs.f64 (log.f64 (-.f64 (log1p.f64 N) (log.f64 N))))
(log.f64 (-.f64 (log1p.f64 N) (log.f64 N)))
(log.f64 (+.f64 1 (-.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 1)))
(log1p.f64 (-.f64 (log1p.f64 N) (+.f64 (log.f64 N) 1)))
(expm1.f64 (log1p.f64 (log.f64 (-.f64 (log1p.f64 N) (log.f64 N)))))
(log1p.f64 (-.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 1))
(log1p.f64 (-.f64 (log1p.f64 N) (+.f64 (log.f64 N) 1)))
(exp.f64 (log.f64 (log.f64 (-.f64 (log1p.f64 N) (log.f64 N)))))
(log.f64 (-.f64 (log1p.f64 N) (log.f64 N)))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (log.f64 (-.f64 (log1p.f64 N) (log.f64 N))))) 1/3))
(log.f64 (-.f64 (log1p.f64 N) (log.f64 N)))
(exp.f64 (*.f64 (log.f64 (log.f64 (-.f64 (log1p.f64 N) (log.f64 N)))) 1))
(log.f64 (-.f64 (log1p.f64 N) (log.f64 N)))
(fma.f64 1 (log.f64 (-.f64 (log1p.f64 N) (log.f64 N))) 0)
(log.f64 (-.f64 (log1p.f64 N) (log.f64 N)))
(fma.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)))) 0)
(log.f64 (-.f64 (log1p.f64 N) (log.f64 N)))
(fma.f64 (sqrt.f64 (log.f64 (-.f64 (log1p.f64 N) (log.f64 N)))) (sqrt.f64 (log.f64 (-.f64 (log1p.f64 N) (log.f64 N)))) 0)
(log.f64 (-.f64 (log1p.f64 N) (log.f64 N)))

eval861.0ms (10%)

Compiler

Compiled 30754 to 19291 computations (37.3% saved)

prune289.0ms (3.4%)

Pruning

12 alts after pruning (11 fresh and 1 done)

PrunedKeptTotal
New132891337
Fresh15217
Picked505
Done718
Total1355121367
Accuracy
100.0%
Counts
1367 → 12
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.3%
(pow.f64 (sqrt.f64 (log1p.f64 (/.f64 1 N))) 2)
89.2%
(pow.f64 (E.f64) (-.f64 (neg.f64 (log.f64 N)) (/.f64 1/2 N)))
87.0%
(/.f64 1 N)
94.0%
(-.f64 (/.f64 1 N) (/.f64 1/2 (pow.f64 N 2)))
99.8%
(-.f64 (log1p.f64 (pow.f64 N -3)) (log1p.f64 (-.f64 (pow.f64 N -2) (/.f64 1 N))))
99.7%
(-.f64 (log1p.f64 (neg.f64 (pow.f64 N -2))) (log1p.f64 (/.f64 -1 N)))
95.9%
(+.f64 (/.f64 (+.f64 N -1/2) (pow.f64 N 2)) (*.f64 1/3 (pow.f64 N -3)))
96.0%
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 1 (/.f64 (/.f64 (pow.f64 N 3) N) (+.f64 N -1/2))))
95.9%
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (*.f64 (/.f64 (+.f64 N -1/2) N) (/.f64 N (pow.f64 N 2))))
95.8%
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (*.f64 N (/.f64 (+.f64 N -1/2) (pow.f64 N 3))))
99.9%
(log1p.f64 (/.f64 1 N))
93.5%
(expm1.f64 (-.f64 (/.f64 1 N) (/.f64 1 (pow.f64 N 2))))
Compiler

Compiled 822 to 614 computations (25.3% saved)

regimes35.0ms (0.4%)

Counts
48 → 1
Calls
Call 1
Inputs
(/.f64 1 N)
(log1p.f64 (/.f64 1 N))
(log.f64 (+.f64 1 (/.f64 1 N)))
(log.f64 (/.f64 (+.f64 N 1) N))
(neg.f64 (log.f64 (/.f64 N (+.f64 N 1))))
(*.f64 2 (log.f64 (+.f64 1 (/.f64 1/2 N))))
(-.f64 (/.f64 1 N) (/.f64 1/2 (pow.f64 N 2)))
(-.f64 (log1p.f64 N) (log.f64 N))
(-.f64 (log.f64 (+.f64 N 1)) (log.f64 N))
(*.f64 2 (log.f64 (sqrt.f64 (/.f64 (+.f64 N 1) N))))
(*.f64 3 (log.f64 (cbrt.f64 (/.f64 (+.f64 N 1) N))))
(pow.f64 (E.f64) (-.f64 (neg.f64 (log.f64 N)) (/.f64 1/2 N)))
(expm1.f64 (-.f64 (/.f64 1 N) (/.f64 1 (pow.f64 N 2))))
(+.f64 (/.f64 (+.f64 N -1/2) (pow.f64 N 2)) (*.f64 1/3 (pow.f64 N -3)))
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (*.f64 N (/.f64 (+.f64 N -1/2) (pow.f64 N 3))))
(+.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 (/.f64 1/3 (pow.f64 N 3)) (*.f64 (/.f64 (+.f64 N -1/2) N) (/.f64 N (pow.f64 N 2))))
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 1 (/.f64 (/.f64 (pow.f64 N 3) N) (+.f64 N -1/2))))
(pow.f64 (sqrt.f64 (log1p.f64 (/.f64 1 N))) 2)
(pow.f64 (E.f64) (log.f64 (log.f64 (/.f64 (+.f64 N 1) N))))
(-.f64 (log1p.f64 (neg.f64 (pow.f64 N -2))) (log1p.f64 (/.f64 -1 N)))
(/.f64 (+.f64 (pow.f64 N 5) (*.f64 (pow.f64 N 4) -1/2)) (pow.f64 N 6))
(pow.f64 (E.f64) (-.f64 (-.f64 (/.f64 5/24 (pow.f64 N 2)) (log.f64 N)) (/.f64 1/2 N)))
(-.f64 (+.f64 (/.f64 1 N) (/.f64 1/3 (pow.f64 N 3))) (+.f64 (/.f64 1/2 (pow.f64 N 2)) (/.f64 1/4 (pow.f64 N 4))))
(exp.f64 (log.f64 (-.f64 (log1p.f64 N) (log.f64 N))))
(expm1.f64 (log1p.f64 (-.f64 (log1p.f64 N) (log.f64 N))))
(pow.f64 (E.f64) (log.f64 (-.f64 (log1p.f64 N) (log.f64 N))))
(-.f64 (log1p.f64 (pow.f64 N -3)) (log1p.f64 (-.f64 (pow.f64 N -2) (/.f64 1 N))))
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (pow.f64 (cbrt.f64 (-.f64 (/.f64 1 N) (*.f64 1/2 (pow.f64 N -2)))) 3))
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (pow.f64 (sqrt.f64 (-.f64 (/.f64 1 N) (*.f64 1/2 (pow.f64 N -2)))) 2))
(/.f64 (+.f64 (*.f64 (+.f64 (pow.f64 N 3) (*.f64 N 1/3)) (pow.f64 N 2)) (*.f64 (pow.f64 N 4) -1/2)) (pow.f64 N 6))
(pow.f64 (cbrt.f64 (+.f64 (/.f64 1 N) (fma.f64 1/3 (pow.f64 N -3) (*.f64 1/2 (pow.f64 N -2))))) 3)
(*.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 (pow.f64 N 3)) (fma.f64 (/.f64 1 (sqrt.f64 N)) (/.f64 1 (sqrt.f64 N)) (*.f64 -1/2 (pow.f64 N -2))))
(/.f64 (fma.f64 (+.f64 (pow.f64 N 3) (*.f64 N 1/3)) (pow.f64 N 2) (*.f64 (pow.f64 N 4) -1/2)) (pow.f64 N 6))
(/.f64 (+.f64 (*.f64 (fma.f64 1/3 (pow.f64 N 2) (*.f64 (pow.f64 N 3) -1/2)) N) (*.f64 (pow.f64 N 5) 1)) (*.f64 (pow.f64 N 5) N))
(pow.f64 (sqrt.f64 (-.f64 (-.f64 (+.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 1 N)) (/.f64 1/4 (pow.f64 N 4))) (/.f64 1/2 (pow.f64 N 2)))) 2)
(fma.f64 (sqrt.f64 (log1p.f64 N)) (sqrt.f64 (log1p.f64 N)) (neg.f64 (log.f64 N)))
(pow.f64 (E.f64) (cbrt.f64 (pow.f64 (log.f64 (-.f64 (log1p.f64 N) (log.f64 N))) 3)))
(/.f64 (-.f64 (pow.f64 (log1p.f64 N) 2) (pow.f64 (log.f64 N) 2)) (+.f64 (log1p.f64 N) (log.f64 N)))
(/.f64 (+.f64 (*.f64 (-.f64 (pow.f64 N -2) (/.f64 1/9 (pow.f64 N 6))) (pow.f64 N 2)) (*.f64 (-.f64 (/.f64 1 N) (*.f64 1/3 (pow.f64 N -3))) -1/2)) (*.f64 (-.f64 (/.f64 1 N) (*.f64 1/3 (pow.f64 N -3))) (pow.f64 N 2)))
(pow.f64 (sqrt.f64 (-.f64 (fma.f64 1/3 (pow.f64 N -3) (/.f64 1 N)) (fma.f64 1/4 (pow.f64 N -4) (*.f64 1/2 (pow.f64 N -2))))) 2)
(pow.f64 (pow.f64 (-.f64 (fma.f64 1/3 (pow.f64 N -3) (/.f64 1 N)) (fma.f64 1/4 (pow.f64 N -4) (*.f64 1/2 (pow.f64 N -2)))) 3) 1/3)
(fma.f64 (pow.f64 N -1/2) (pow.f64 N -1/2) (-.f64 (*.f64 1/3 (pow.f64 N -3)) (fma.f64 1/4 (pow.f64 N -4) (*.f64 1/2 (pow.f64 N -2)))))
(pow.f64 (pow.f64 (pow.f64 (-.f64 (fma.f64 1/3 (pow.f64 N -3) (/.f64 1 N)) (fma.f64 1/4 (pow.f64 N -4) (*.f64 1/2 (pow.f64 N -2)))) 3/2) 1/3) 2)
(pow.f64 (-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (-.f64 (fma.f64 1/3 (pow.f64 N -3) (/.f64 1 N)) (fma.f64 1/4 (pow.f64 N -4) (*.f64 1/2 (pow.f64 N -2))))))) 1) 2)
Outputs
(log1p.f64 (/.f64 1 N))
Calls

2 calls:

24.0ms
N
9.0ms
(-.f64 (log.f64 (+.f64 N 1)) (log.f64 N))
Results
AccuracySegmentsBranch
99.9%1N
99.9%1(-.f64 (log.f64 (+.f64 N 1)) (log.f64 N))
Compiler

Compiled 10 to 7 computations (30% saved)

regimes4.0ms (0%)

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

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

1 calls:

4.0ms
N
Results
AccuracySegmentsBranch
87.0%1N
Compiler

Compiled 2 to 1 computations (50% saved)

simplify4.0ms (0%)

Algorithm
egg-herbie
Rules
+-commutative
add0
1-exp
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0924
11724
22024
Stop Event
fuel
saturated
Calls
Call 1
Inputs
(log1p.f64 (/.f64 1 N))
(/.f64 1 N)
Outputs
(log1p.f64 (/.f64 1 N))
(/.f64 1 N)
Compiler

Compiled 9 to 7 computations (22.2% saved)

soundness1.1s (12.6%)

Rules
1728×fma-neg
1624×fma-define
1380×add0
1190×distribute-lft-in
1064×fma-define
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
0921
19721
2134621
041318
1729306
0111226681
1418625293
Stop Event
node limit
node limit
node limit
node limit
Compiler

Compiled 189 to 119 computations (37% saved)

end0.0ms (0%)

preprocess33.0ms (0.4%)

Compiler

Compiled 42 to 32 computations (23.8% saved)

Profiling

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