2log (problem 3.3.6)

Time bar (total: 10.4s)

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)

sample1.1s (10.9%)

Results
1.1s8256×body256valid
Bogosity

preprocess387.0ms (3.7%)

Algorithm
egg-herbie
Rules
2592×fma-def
986×distribute-rgt-in
952×distribute-lft-in
842×fma-neg
768×associate-+r+
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
2510-1(8.346243387474187)(-.f64 (log.f64 (+.f64 N 1)) (log.f64 N))
00-0-(log.f64 (+.f64 N 1))
00-0-(+.f64 N 1)
00-0-1
00-0-(log.f64 N)
00-0-N
Iterations

Useful iterations: 6 (0.0ms)

IterNodesCost
017128
133104
265100
3125100
4272100
5525100
680096
7128696
8203596
9345096
10412396
11415196
12417596
13417596
14624996
15668696
16703896
17703896
18744096
19797596
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
23.4%
(-.f64 (log1p.f64 N) (log.f64 N))
23.4%
(-.f64 (log1p.f64 N) (log.f64 N))
Compiler

Compiled 12 to 8 computations (33.3% saved)

localize34.0ms (0.3%)

Localize:

Found 2 expressions with local error:

NewAccuracyProgram
100.0%
(log1p.f64 N)
23.4%
(-.f64 (log1p.f64 N) (log.f64 N))
Compiler

Compiled 12 to 5 computations (58.3% saved)

series2.0ms (0%)

Counts
2 → 24
Calls

6 calls:

TimeVariablePointExpression
1.0ms
N
@-inf
(-.f64 (log1p.f64 N) (log.f64 N))
1.0ms
N
@inf
(-.f64 (log1p.f64 N) (log.f64 N))
0.0ms
N
@0
(-.f64 (log1p.f64 N) (log.f64 N))
0.0ms
N
@-inf
(log1p.f64 N)
0.0ms
N
@inf
(log1p.f64 N)

rewrite319.0ms (3.1%)

Algorithm
batch-egg-rewrite
Rules
788×prod-diff
606×unpow-prod-down
446×log1p-expm1-u
446×expm1-log1p-u
416×log-prod
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0929
19229
2119729
Stop Event
node limit
Counts
2 → 128
Calls
Call 1
Inputs
(-.f64 (log1p.f64 N) (log.f64 N))
(log1p.f64 N)
Outputs
(+.f64 (log1p.f64 N) (neg.f64 (log.f64 N)))
(+.f64 (log1p.f64 N) (*.f64 (neg.f64 (log.f64 N)) 1))
(+.f64 (-.f64 (log1p.f64 N) (log.f64 N)) (fma.f64 (neg.f64 (log.f64 N)) 1 (log.f64 N)))
(+.f64 (-.f64 (log1p.f64 N) (log.f64 N)) (fma.f64 (neg.f64 (cbrt.f64 (log.f64 N))) (pow.f64 (cbrt.f64 (log.f64 N)) 2) (log.f64 N)))
(+.f64 (-.f64 (log1p.f64 N) (log.f64 N)) (+.f64 (neg.f64 (log.f64 N)) (log.f64 N)))
(+.f64 (-.f64 (log1p.f64 N) (log.f64 N)) (fma.f64 -1 (log.f64 N) (log.f64 N)))
(+.f64 (-.f64 (log1p.f64 N) (log.f64 N)) (fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (log.f64 N)) 2)) (cbrt.f64 (log.f64 N)) (log.f64 N)))
(+.f64 (neg.f64 (log.f64 N)) (log1p.f64 N))
(+.f64 0 (-.f64 (log1p.f64 N) (log.f64 N)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 N 1) N)) 2)) (log.f64 (cbrt.f64 (/.f64 (+.f64 N 1) N))))
(+.f64 (log.f64 (sqrt.f64 (/.f64 (+.f64 N 1) N))) (log.f64 (sqrt.f64 (/.f64 (+.f64 N 1) N))))
(*.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 1)
(*.f64 (-.f64 (log1p.f64 N) (log.f64 N)) (log.f64 (E.f64)))
(*.f64 1 (-.f64 (log1p.f64 N) (log.f64 N)))
(*.f64 (cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))) (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))) 2))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))) 2) (cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))))
(*.f64 (sqrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))) (sqrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))))
(*.f64 (-.f64 (pow.f64 (log1p.f64 N) 3) (pow.f64 (log.f64 N) 3)) (/.f64 1 (fma.f64 (log.f64 N) (+.f64 (log1p.f64 N) (log.f64 N)) (pow.f64 (log1p.f64 N) 2))))
(*.f64 (-.f64 (pow.f64 (log1p.f64 N) 2) (pow.f64 (log.f64 N) 2)) (/.f64 1 (+.f64 (log1p.f64 N) (log.f64 N))))
(*.f64 (+.f64 (sqrt.f64 (log1p.f64 N)) (sqrt.f64 (log.f64 N))) (-.f64 (sqrt.f64 (log1p.f64 N)) (sqrt.f64 (log.f64 N))))
(*.f64 (pow.f64 1 1/3) (-.f64 (log1p.f64 N) (log.f64 N)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N)))) 2) 3) (cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))))
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N)))) 3) (pow.f64 (sqrt.f64 (cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N)))) 3))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 3)) 1/3) (pow.f64 (sqrt.f64 (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 3)) 1/3))
(*.f64 (pow.f64 (pow.f64 (*.f64 (-.f64 (log1p.f64 N) (log.f64 N)) (cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N)))) 2) 1/3) (cbrt.f64 (cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N)))))
(*.f64 (pow.f64 (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 5/2) 1/3) (cbrt.f64 (sqrt.f64 (-.f64 (log1p.f64 N) (log.f64 N)))))
(/.f64 1 (/.f64 (fma.f64 (log.f64 N) (+.f64 (log1p.f64 N) (log.f64 N)) (pow.f64 (log1p.f64 N) 2)) (-.f64 (pow.f64 (log1p.f64 N) 3) (pow.f64 (log.f64 N) 3))))
(/.f64 1 (/.f64 (+.f64 (log1p.f64 N) (log.f64 N)) (-.f64 (pow.f64 (log1p.f64 N) 2) (pow.f64 (log.f64 N) 2))))
(/.f64 (-.f64 (pow.f64 (log1p.f64 N) 3) (pow.f64 (log.f64 N) 3)) (fma.f64 (log.f64 N) (+.f64 (log1p.f64 N) (log.f64 N)) (pow.f64 (log1p.f64 N) 2)))
(/.f64 (-.f64 (pow.f64 (log1p.f64 N) 2) (pow.f64 (log.f64 N) 2)) (+.f64 (log1p.f64 N) (log.f64 N)))
(/.f64 (neg.f64 (-.f64 (pow.f64 (log1p.f64 N) 3) (pow.f64 (log.f64 N) 3))) (neg.f64 (fma.f64 (log.f64 N) (+.f64 (log1p.f64 N) (log.f64 N)) (pow.f64 (log1p.f64 N) 2))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (log1p.f64 N) 2) (pow.f64 (log.f64 N) 2))) (neg.f64 (+.f64 (log1p.f64 N) (log.f64 N))))
(/.f64 (+.f64 (pow.f64 (log1p.f64 N) 3) (pow.f64 (neg.f64 (log.f64 N)) 3)) (+.f64 (pow.f64 (log1p.f64 N) 2) (-.f64 (pow.f64 (neg.f64 (log.f64 N)) 2) (*.f64 (log1p.f64 N) (neg.f64 (log.f64 N))))))
(/.f64 (-.f64 (pow.f64 (log1p.f64 N) 2) (pow.f64 (neg.f64 (log.f64 N)) 2)) (-.f64 (log1p.f64 N) (neg.f64 (log.f64 N))))
(pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 1)
(pow.f64 (cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))) 3)
(pow.f64 (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 2) 1/2)
(pow.f64 (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 3) 1/3)
(pow.f64 (sqrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))) 2)
(pow.f64 (E.f64) (log.f64 (-.f64 (log1p.f64 N) (log.f64 N))))
(pow.f64 (/.f64 (fma.f64 (log.f64 N) (+.f64 (log1p.f64 N) (log.f64 N)) (pow.f64 (log1p.f64 N) 2)) (-.f64 (pow.f64 (log1p.f64 N) 3) (pow.f64 (log.f64 N) 3))) -1)
(pow.f64 (/.f64 (+.f64 (log1p.f64 N) (log.f64 N)) (-.f64 (pow.f64 (log1p.f64 N) 2) (pow.f64 (log.f64 N) 2))) -1)
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (-.f64 (log1p.f64 N) (log.f64 N)))) 2)) (cbrt.f64 (log.f64 (-.f64 (log1p.f64 N) (log.f64 N)))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (-.f64 (log1p.f64 N) (log.f64 N))))) (sqrt.f64 (log.f64 (-.f64 (log1p.f64 N) (log.f64 N)))))
(sqrt.f64 (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 2))
(log.f64 (/.f64 (+.f64 N 1) N))
(cbrt.f64 (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 3))
(expm1.f64 (log1p.f64 (-.f64 (log1p.f64 N) (log.f64 N))))
(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))
(log1p.f64 (-.f64 (/.f64 (+.f64 N 1) N) 1))
(fma.f64 (log1p.f64 N) 1 (neg.f64 (log.f64 N)))
(fma.f64 (log1p.f64 N) 1 (*.f64 (neg.f64 (log.f64 N)) 1))
(fma.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 1 (fma.f64 (neg.f64 (log.f64 N)) 1 (log.f64 N)))
(fma.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 1 (fma.f64 (neg.f64 (cbrt.f64 (log.f64 N))) (pow.f64 (cbrt.f64 (log.f64 N)) 2) (log.f64 N)))
(fma.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 1 (+.f64 (neg.f64 (log.f64 N)) (log.f64 N)))
(fma.f64 1 (log1p.f64 N) (neg.f64 (log.f64 N)))
(fma.f64 1 (log1p.f64 N) (*.f64 (neg.f64 (log.f64 N)) 1))
(fma.f64 1 (-.f64 (log1p.f64 N) (log.f64 N)) (fma.f64 (neg.f64 (log.f64 N)) 1 (log.f64 N)))
(fma.f64 1 (-.f64 (log1p.f64 N) (log.f64 N)) (fma.f64 (neg.f64 (cbrt.f64 (log.f64 N))) (pow.f64 (cbrt.f64 (log.f64 N)) 2) (log.f64 N)))
(fma.f64 1 (-.f64 (log1p.f64 N) (log.f64 N)) (+.f64 (neg.f64 (log.f64 N)) (log.f64 N)))
(fma.f64 1 (neg.f64 (log.f64 N)) (log1p.f64 N))
(fma.f64 (cbrt.f64 (log1p.f64 N)) (pow.f64 (cbrt.f64 (log1p.f64 N)) 2) (neg.f64 (log.f64 N)))
(fma.f64 (cbrt.f64 (log1p.f64 N)) (pow.f64 (cbrt.f64 (log1p.f64 N)) 2) (*.f64 (neg.f64 (log.f64 N)) 1))
(fma.f64 (pow.f64 (cbrt.f64 (log1p.f64 N)) 2) (cbrt.f64 (log1p.f64 N)) (neg.f64 (log.f64 N)))
(fma.f64 (pow.f64 (cbrt.f64 (log1p.f64 N)) 2) (cbrt.f64 (log1p.f64 N)) (*.f64 (neg.f64 (log.f64 N)) 1))
(fma.f64 (pow.f64 (cbrt.f64 (log.f64 N)) 2) (neg.f64 (cbrt.f64 (log.f64 N))) (log1p.f64 N))
(fma.f64 (cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))) (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))) 2) (fma.f64 (neg.f64 (log.f64 N)) 1 (log.f64 N)))
(fma.f64 (cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))) (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))) 2) (fma.f64 (neg.f64 (cbrt.f64 (log.f64 N))) (pow.f64 (cbrt.f64 (log.f64 N)) 2) (log.f64 N)))
(fma.f64 (cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))) (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))) 2) (+.f64 (neg.f64 (log.f64 N)) (log.f64 N)))
(fma.f64 (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))) 2) (cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))) (fma.f64 (neg.f64 (log.f64 N)) 1 (log.f64 N)))
(fma.f64 (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))) 2) (cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))) (fma.f64 (neg.f64 (cbrt.f64 (log.f64 N))) (pow.f64 (cbrt.f64 (log.f64 N)) 2) (log.f64 N)))
(fma.f64 (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))) 2) (cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))) (+.f64 (neg.f64 (log.f64 N)) (log.f64 N)))
(fma.f64 (sqrt.f64 (log1p.f64 N)) (sqrt.f64 (log1p.f64 N)) (neg.f64 (log.f64 N)))
(fma.f64 (sqrt.f64 (log1p.f64 N)) (sqrt.f64 (log1p.f64 N)) (*.f64 (neg.f64 (log.f64 N)) 1))
(fma.f64 (sqrt.f64 (log.f64 N)) (neg.f64 (sqrt.f64 (log.f64 N))) (log1p.f64 N))
(fma.f64 (sqrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))) (sqrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))) (fma.f64 (neg.f64 (log.f64 N)) 1 (log.f64 N)))
(fma.f64 (sqrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))) (sqrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))) (fma.f64 (neg.f64 (cbrt.f64 (log.f64 N))) (pow.f64 (cbrt.f64 (log.f64 N)) 2) (log.f64 N)))
(fma.f64 (sqrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))) (sqrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))) (+.f64 (neg.f64 (log.f64 N)) (log.f64 N)))
(fma.f64 (-.f64 (pow.f64 (log1p.f64 N) 3) (pow.f64 (log.f64 N) 3)) (/.f64 1 (fma.f64 (log.f64 N) (+.f64 (log1p.f64 N) (log.f64 N)) (pow.f64 (log1p.f64 N) 2))) (fma.f64 (neg.f64 (log.f64 N)) 1 (log.f64 N)))
(fma.f64 (-.f64 (pow.f64 (log1p.f64 N) 3) (pow.f64 (log.f64 N) 3)) (/.f64 1 (fma.f64 (log.f64 N) (+.f64 (log1p.f64 N) (log.f64 N)) (pow.f64 (log1p.f64 N) 2))) (fma.f64 (neg.f64 (cbrt.f64 (log.f64 N))) (pow.f64 (cbrt.f64 (log.f64 N)) 2) (log.f64 N)))
(fma.f64 (-.f64 (pow.f64 (log1p.f64 N) 3) (pow.f64 (log.f64 N) 3)) (/.f64 1 (fma.f64 (log.f64 N) (+.f64 (log1p.f64 N) (log.f64 N)) (pow.f64 (log1p.f64 N) 2))) (+.f64 (neg.f64 (log.f64 N)) (log.f64 N)))
(fma.f64 (-.f64 (pow.f64 (log1p.f64 N) 2) (pow.f64 (log.f64 N) 2)) (/.f64 1 (+.f64 (log1p.f64 N) (log.f64 N))) (fma.f64 (neg.f64 (log.f64 N)) 1 (log.f64 N)))
(fma.f64 (-.f64 (pow.f64 (log1p.f64 N) 2) (pow.f64 (log.f64 N) 2)) (/.f64 1 (+.f64 (log1p.f64 N) (log.f64 N))) (fma.f64 (neg.f64 (cbrt.f64 (log.f64 N))) (pow.f64 (cbrt.f64 (log.f64 N)) 2) (log.f64 N)))
(fma.f64 (-.f64 (pow.f64 (log1p.f64 N) 2) (pow.f64 (log.f64 N) 2)) (/.f64 1 (+.f64 (log1p.f64 N) (log.f64 N))) (+.f64 (neg.f64 (log.f64 N)) (log.f64 N)))
(fma.f64 (neg.f64 (sqrt.f64 (log.f64 N))) (sqrt.f64 (log.f64 N)) (log1p.f64 N))
(fma.f64 (pow.f64 (cbrt.f64 (neg.f64 (log.f64 N))) 2) (cbrt.f64 (neg.f64 (log.f64 N))) (log1p.f64 N))
(fma.f64 (sqrt.f64 (neg.f64 (log.f64 N))) (sqrt.f64 (neg.f64 (log.f64 N))) (log1p.f64 N))
(fma.f64 -1 (log.f64 N) (log1p.f64 N))
(fma.f64 (+.f64 (sqrt.f64 (log1p.f64 N)) (sqrt.f64 (log.f64 N))) (-.f64 (sqrt.f64 (log1p.f64 N)) (sqrt.f64 (log.f64 N))) (fma.f64 (neg.f64 (log.f64 N)) 1 (log.f64 N)))
(fma.f64 (+.f64 (sqrt.f64 (log1p.f64 N)) (sqrt.f64 (log.f64 N))) (-.f64 (sqrt.f64 (log1p.f64 N)) (sqrt.f64 (log.f64 N))) (fma.f64 (neg.f64 (cbrt.f64 (log.f64 N))) (pow.f64 (cbrt.f64 (log.f64 N)) 2) (log.f64 N)))
(fma.f64 (+.f64 (sqrt.f64 (log1p.f64 N)) (sqrt.f64 (log.f64 N))) (-.f64 (sqrt.f64 (log1p.f64 N)) (sqrt.f64 (log.f64 N))) (+.f64 (neg.f64 (log.f64 N)) (log.f64 N)))
(fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (log.f64 N)) 2)) (cbrt.f64 (log.f64 N)) (log1p.f64 N))
(+.f64 0 (log1p.f64 N))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (+.f64 N 1)) 2)) (log.f64 (cbrt.f64 (+.f64 N 1))))
(+.f64 (log.f64 (sqrt.f64 (+.f64 N 1))) (log.f64 (sqrt.f64 (+.f64 N 1))))
(-.f64 (+.f64 1 (log1p.f64 N)) 1)
(-.f64 (log1p.f64 (pow.f64 N 3)) (log.f64 (+.f64 1 (-.f64 (pow.f64 N 2) N))))
(-.f64 (log.f64 (-.f64 1 (pow.f64 N 2))) (log.f64 (-.f64 1 N)))
(*.f64 (log1p.f64 N) 1)
(*.f64 (log1p.f64 N) (log.f64 (E.f64)))
(*.f64 1 (log1p.f64 N))
(*.f64 (cbrt.f64 (log1p.f64 N)) (pow.f64 (cbrt.f64 (log1p.f64 N)) 2))
(*.f64 (pow.f64 (cbrt.f64 (log1p.f64 N)) 2) (cbrt.f64 (log1p.f64 N)))
(*.f64 (sqrt.f64 (log1p.f64 N)) (sqrt.f64 (log1p.f64 N)))
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (log1p.f64 N))) 3) (pow.f64 (sqrt.f64 (cbrt.f64 (log1p.f64 N))) 3))
(*.f64 (pow.f64 1 1/3) (log1p.f64 N))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 N))) 2) 3) (cbrt.f64 (log1p.f64 N)))
(*.f64 (pow.f64 (pow.f64 (*.f64 (log1p.f64 N) (cbrt.f64 (log1p.f64 N))) 2) 1/3) (cbrt.f64 (cbrt.f64 (log1p.f64 N))))
(*.f64 (pow.f64 (pow.f64 (log1p.f64 N) 5/2) 1/3) (cbrt.f64 (sqrt.f64 (log1p.f64 N))))
(pow.f64 (log1p.f64 N) 1)
(pow.f64 (cbrt.f64 (log1p.f64 N)) 3)
(pow.f64 (pow.f64 (log1p.f64 N) 2) 1/2)
(pow.f64 (pow.f64 (log1p.f64 N) 3) 1/3)
(pow.f64 (sqrt.f64 (log1p.f64 N)) 2)
(pow.f64 (E.f64) (log.f64 (log1p.f64 N)))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (log1p.f64 N))) 2)) (cbrt.f64 (log.f64 (log1p.f64 N))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (log1p.f64 N)))) (sqrt.f64 (log.f64 (log1p.f64 N))))
(sqrt.f64 (pow.f64 (log1p.f64 N) 2))
(log.f64 (+.f64 N 1))
(cbrt.f64 (pow.f64 (log1p.f64 N) 3))
(expm1.f64 (log1p.f64 (log1p.f64 N)))
(exp.f64 (log.f64 (log1p.f64 N)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (log1p.f64 N))) 3))
(exp.f64 (*.f64 (*.f64 (log.f64 (log1p.f64 N)) 3) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (log1p.f64 N))) 2))

simplify84.0ms (0.8%)

Algorithm
egg-herbie
Rules
1036×unswap-sqr
754×fma-neg
684×associate-+l+
678×distribute-lft-in
572×distribute-rgt-in
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
03244880
17984638
224234610
Stop Event
node limit
Counts
152 → 215
Calls
Call 1
Inputs
(*.f64 -1 (log.f64 N))
(+.f64 N (*.f64 -1 (log.f64 N)))
(+.f64 N (+.f64 (*.f64 -1 (log.f64 N)) (*.f64 -1/2 (pow.f64 N 2))))
(+.f64 N (+.f64 (*.f64 -1 (log.f64 N)) (+.f64 (*.f64 -1/2 (pow.f64 N 2)) (*.f64 1/3 (pow.f64 N 3)))))
(/.f64 1 N)
(-.f64 (/.f64 1 N) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 N 3))) (/.f64 1 N)) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 N 3))) (/.f64 1 N)) (+.f64 (*.f64 1/4 (/.f64 1 (pow.f64 N 4))) (*.f64 1/2 (/.f64 1 (pow.f64 N 2)))))
(/.f64 1 N)
(-.f64 (/.f64 1 N) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 N 3))) (/.f64 1 N)) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 N 3))) (/.f64 1 N)) (+.f64 (*.f64 1/4 (/.f64 1 (pow.f64 N 4))) (*.f64 1/2 (/.f64 1 (pow.f64 N 2)))))
N
(+.f64 N (*.f64 -1/2 (pow.f64 N 2)))
(+.f64 N (+.f64 (*.f64 -1/2 (pow.f64 N 2)) (*.f64 1/3 (pow.f64 N 3))))
(+.f64 N (+.f64 (*.f64 -1/2 (pow.f64 N 2)) (+.f64 (*.f64 -1/4 (pow.f64 N 4)) (*.f64 1/3 (pow.f64 N 3)))))
(*.f64 -1 (log.f64 (/.f64 1 N)))
(+.f64 (*.f64 -1 (log.f64 (/.f64 1 N))) (/.f64 1 N))
(-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 N))) (/.f64 1 N)) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 N))) (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 N 3))) (/.f64 1 N))) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 N))))
(+.f64 (log.f64 -1) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 N))) (/.f64 1 N)))
(-.f64 (+.f64 (log.f64 -1) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 N))) (/.f64 1 N))) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (+.f64 (log.f64 -1) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 N))) (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 N 3))) (/.f64 1 N)))) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(+.f64 (log1p.f64 N) (neg.f64 (log.f64 N)))
(+.f64 (log1p.f64 N) (*.f64 (neg.f64 (log.f64 N)) 1))
(+.f64 (-.f64 (log1p.f64 N) (log.f64 N)) (fma.f64 (neg.f64 (log.f64 N)) 1 (log.f64 N)))
(+.f64 (-.f64 (log1p.f64 N) (log.f64 N)) (fma.f64 (neg.f64 (cbrt.f64 (log.f64 N))) (pow.f64 (cbrt.f64 (log.f64 N)) 2) (log.f64 N)))
(+.f64 (-.f64 (log1p.f64 N) (log.f64 N)) (+.f64 (neg.f64 (log.f64 N)) (log.f64 N)))
(+.f64 (-.f64 (log1p.f64 N) (log.f64 N)) (fma.f64 -1 (log.f64 N) (log.f64 N)))
(+.f64 (-.f64 (log1p.f64 N) (log.f64 N)) (fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (log.f64 N)) 2)) (cbrt.f64 (log.f64 N)) (log.f64 N)))
(+.f64 (neg.f64 (log.f64 N)) (log1p.f64 N))
(+.f64 0 (-.f64 (log1p.f64 N) (log.f64 N)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 N 1) N)) 2)) (log.f64 (cbrt.f64 (/.f64 (+.f64 N 1) N))))
(+.f64 (log.f64 (sqrt.f64 (/.f64 (+.f64 N 1) N))) (log.f64 (sqrt.f64 (/.f64 (+.f64 N 1) N))))
(*.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 1)
(*.f64 (-.f64 (log1p.f64 N) (log.f64 N)) (log.f64 (E.f64)))
(*.f64 1 (-.f64 (log1p.f64 N) (log.f64 N)))
(*.f64 (cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))) (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))) 2))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))) 2) (cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))))
(*.f64 (sqrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))) (sqrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))))
(*.f64 (-.f64 (pow.f64 (log1p.f64 N) 3) (pow.f64 (log.f64 N) 3)) (/.f64 1 (fma.f64 (log.f64 N) (+.f64 (log1p.f64 N) (log.f64 N)) (pow.f64 (log1p.f64 N) 2))))
(*.f64 (-.f64 (pow.f64 (log1p.f64 N) 2) (pow.f64 (log.f64 N) 2)) (/.f64 1 (+.f64 (log1p.f64 N) (log.f64 N))))
(*.f64 (+.f64 (sqrt.f64 (log1p.f64 N)) (sqrt.f64 (log.f64 N))) (-.f64 (sqrt.f64 (log1p.f64 N)) (sqrt.f64 (log.f64 N))))
(*.f64 (pow.f64 1 1/3) (-.f64 (log1p.f64 N) (log.f64 N)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N)))) 2) 3) (cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))))
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N)))) 3) (pow.f64 (sqrt.f64 (cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N)))) 3))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 3)) 1/3) (pow.f64 (sqrt.f64 (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 3)) 1/3))
(*.f64 (pow.f64 (pow.f64 (*.f64 (-.f64 (log1p.f64 N) (log.f64 N)) (cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N)))) 2) 1/3) (cbrt.f64 (cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N)))))
(*.f64 (pow.f64 (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 5/2) 1/3) (cbrt.f64 (sqrt.f64 (-.f64 (log1p.f64 N) (log.f64 N)))))
(/.f64 1 (/.f64 (fma.f64 (log.f64 N) (+.f64 (log1p.f64 N) (log.f64 N)) (pow.f64 (log1p.f64 N) 2)) (-.f64 (pow.f64 (log1p.f64 N) 3) (pow.f64 (log.f64 N) 3))))
(/.f64 1 (/.f64 (+.f64 (log1p.f64 N) (log.f64 N)) (-.f64 (pow.f64 (log1p.f64 N) 2) (pow.f64 (log.f64 N) 2))))
(/.f64 (-.f64 (pow.f64 (log1p.f64 N) 3) (pow.f64 (log.f64 N) 3)) (fma.f64 (log.f64 N) (+.f64 (log1p.f64 N) (log.f64 N)) (pow.f64 (log1p.f64 N) 2)))
(/.f64 (-.f64 (pow.f64 (log1p.f64 N) 2) (pow.f64 (log.f64 N) 2)) (+.f64 (log1p.f64 N) (log.f64 N)))
(/.f64 (neg.f64 (-.f64 (pow.f64 (log1p.f64 N) 3) (pow.f64 (log.f64 N) 3))) (neg.f64 (fma.f64 (log.f64 N) (+.f64 (log1p.f64 N) (log.f64 N)) (pow.f64 (log1p.f64 N) 2))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (log1p.f64 N) 2) (pow.f64 (log.f64 N) 2))) (neg.f64 (+.f64 (log1p.f64 N) (log.f64 N))))
(/.f64 (+.f64 (pow.f64 (log1p.f64 N) 3) (pow.f64 (neg.f64 (log.f64 N)) 3)) (+.f64 (pow.f64 (log1p.f64 N) 2) (-.f64 (pow.f64 (neg.f64 (log.f64 N)) 2) (*.f64 (log1p.f64 N) (neg.f64 (log.f64 N))))))
(/.f64 (-.f64 (pow.f64 (log1p.f64 N) 2) (pow.f64 (neg.f64 (log.f64 N)) 2)) (-.f64 (log1p.f64 N) (neg.f64 (log.f64 N))))
(pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 1)
(pow.f64 (cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))) 3)
(pow.f64 (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 2) 1/2)
(pow.f64 (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 3) 1/3)
(pow.f64 (sqrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))) 2)
(pow.f64 (E.f64) (log.f64 (-.f64 (log1p.f64 N) (log.f64 N))))
(pow.f64 (/.f64 (fma.f64 (log.f64 N) (+.f64 (log1p.f64 N) (log.f64 N)) (pow.f64 (log1p.f64 N) 2)) (-.f64 (pow.f64 (log1p.f64 N) 3) (pow.f64 (log.f64 N) 3))) -1)
(pow.f64 (/.f64 (+.f64 (log1p.f64 N) (log.f64 N)) (-.f64 (pow.f64 (log1p.f64 N) 2) (pow.f64 (log.f64 N) 2))) -1)
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (-.f64 (log1p.f64 N) (log.f64 N)))) 2)) (cbrt.f64 (log.f64 (-.f64 (log1p.f64 N) (log.f64 N)))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (-.f64 (log1p.f64 N) (log.f64 N))))) (sqrt.f64 (log.f64 (-.f64 (log1p.f64 N) (log.f64 N)))))
(sqrt.f64 (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 2))
(log.f64 (/.f64 (+.f64 N 1) N))
(cbrt.f64 (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 3))
(expm1.f64 (log1p.f64 (-.f64 (log1p.f64 N) (log.f64 N))))
(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))
(log1p.f64 (-.f64 (/.f64 (+.f64 N 1) N) 1))
(fma.f64 (log1p.f64 N) 1 (neg.f64 (log.f64 N)))
(fma.f64 (log1p.f64 N) 1 (*.f64 (neg.f64 (log.f64 N)) 1))
(fma.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 1 (fma.f64 (neg.f64 (log.f64 N)) 1 (log.f64 N)))
(fma.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 1 (fma.f64 (neg.f64 (cbrt.f64 (log.f64 N))) (pow.f64 (cbrt.f64 (log.f64 N)) 2) (log.f64 N)))
(fma.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 1 (+.f64 (neg.f64 (log.f64 N)) (log.f64 N)))
(fma.f64 1 (log1p.f64 N) (neg.f64 (log.f64 N)))
(fma.f64 1 (log1p.f64 N) (*.f64 (neg.f64 (log.f64 N)) 1))
(fma.f64 1 (-.f64 (log1p.f64 N) (log.f64 N)) (fma.f64 (neg.f64 (log.f64 N)) 1 (log.f64 N)))
(fma.f64 1 (-.f64 (log1p.f64 N) (log.f64 N)) (fma.f64 (neg.f64 (cbrt.f64 (log.f64 N))) (pow.f64 (cbrt.f64 (log.f64 N)) 2) (log.f64 N)))
(fma.f64 1 (-.f64 (log1p.f64 N) (log.f64 N)) (+.f64 (neg.f64 (log.f64 N)) (log.f64 N)))
(fma.f64 1 (neg.f64 (log.f64 N)) (log1p.f64 N))
(fma.f64 (cbrt.f64 (log1p.f64 N)) (pow.f64 (cbrt.f64 (log1p.f64 N)) 2) (neg.f64 (log.f64 N)))
(fma.f64 (cbrt.f64 (log1p.f64 N)) (pow.f64 (cbrt.f64 (log1p.f64 N)) 2) (*.f64 (neg.f64 (log.f64 N)) 1))
(fma.f64 (pow.f64 (cbrt.f64 (log1p.f64 N)) 2) (cbrt.f64 (log1p.f64 N)) (neg.f64 (log.f64 N)))
(fma.f64 (pow.f64 (cbrt.f64 (log1p.f64 N)) 2) (cbrt.f64 (log1p.f64 N)) (*.f64 (neg.f64 (log.f64 N)) 1))
(fma.f64 (pow.f64 (cbrt.f64 (log.f64 N)) 2) (neg.f64 (cbrt.f64 (log.f64 N))) (log1p.f64 N))
(fma.f64 (cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))) (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))) 2) (fma.f64 (neg.f64 (log.f64 N)) 1 (log.f64 N)))
(fma.f64 (cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))) (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))) 2) (fma.f64 (neg.f64 (cbrt.f64 (log.f64 N))) (pow.f64 (cbrt.f64 (log.f64 N)) 2) (log.f64 N)))
(fma.f64 (cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))) (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))) 2) (+.f64 (neg.f64 (log.f64 N)) (log.f64 N)))
(fma.f64 (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))) 2) (cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))) (fma.f64 (neg.f64 (log.f64 N)) 1 (log.f64 N)))
(fma.f64 (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))) 2) (cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))) (fma.f64 (neg.f64 (cbrt.f64 (log.f64 N))) (pow.f64 (cbrt.f64 (log.f64 N)) 2) (log.f64 N)))
(fma.f64 (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))) 2) (cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))) (+.f64 (neg.f64 (log.f64 N)) (log.f64 N)))
(fma.f64 (sqrt.f64 (log1p.f64 N)) (sqrt.f64 (log1p.f64 N)) (neg.f64 (log.f64 N)))
(fma.f64 (sqrt.f64 (log1p.f64 N)) (sqrt.f64 (log1p.f64 N)) (*.f64 (neg.f64 (log.f64 N)) 1))
(fma.f64 (sqrt.f64 (log.f64 N)) (neg.f64 (sqrt.f64 (log.f64 N))) (log1p.f64 N))
(fma.f64 (sqrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))) (sqrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))) (fma.f64 (neg.f64 (log.f64 N)) 1 (log.f64 N)))
(fma.f64 (sqrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))) (sqrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))) (fma.f64 (neg.f64 (cbrt.f64 (log.f64 N))) (pow.f64 (cbrt.f64 (log.f64 N)) 2) (log.f64 N)))
(fma.f64 (sqrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))) (sqrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))) (+.f64 (neg.f64 (log.f64 N)) (log.f64 N)))
(fma.f64 (-.f64 (pow.f64 (log1p.f64 N) 3) (pow.f64 (log.f64 N) 3)) (/.f64 1 (fma.f64 (log.f64 N) (+.f64 (log1p.f64 N) (log.f64 N)) (pow.f64 (log1p.f64 N) 2))) (fma.f64 (neg.f64 (log.f64 N)) 1 (log.f64 N)))
(fma.f64 (-.f64 (pow.f64 (log1p.f64 N) 3) (pow.f64 (log.f64 N) 3)) (/.f64 1 (fma.f64 (log.f64 N) (+.f64 (log1p.f64 N) (log.f64 N)) (pow.f64 (log1p.f64 N) 2))) (fma.f64 (neg.f64 (cbrt.f64 (log.f64 N))) (pow.f64 (cbrt.f64 (log.f64 N)) 2) (log.f64 N)))
(fma.f64 (-.f64 (pow.f64 (log1p.f64 N) 3) (pow.f64 (log.f64 N) 3)) (/.f64 1 (fma.f64 (log.f64 N) (+.f64 (log1p.f64 N) (log.f64 N)) (pow.f64 (log1p.f64 N) 2))) (+.f64 (neg.f64 (log.f64 N)) (log.f64 N)))
(fma.f64 (-.f64 (pow.f64 (log1p.f64 N) 2) (pow.f64 (log.f64 N) 2)) (/.f64 1 (+.f64 (log1p.f64 N) (log.f64 N))) (fma.f64 (neg.f64 (log.f64 N)) 1 (log.f64 N)))
(fma.f64 (-.f64 (pow.f64 (log1p.f64 N) 2) (pow.f64 (log.f64 N) 2)) (/.f64 1 (+.f64 (log1p.f64 N) (log.f64 N))) (fma.f64 (neg.f64 (cbrt.f64 (log.f64 N))) (pow.f64 (cbrt.f64 (log.f64 N)) 2) (log.f64 N)))
(fma.f64 (-.f64 (pow.f64 (log1p.f64 N) 2) (pow.f64 (log.f64 N) 2)) (/.f64 1 (+.f64 (log1p.f64 N) (log.f64 N))) (+.f64 (neg.f64 (log.f64 N)) (log.f64 N)))
(fma.f64 (neg.f64 (sqrt.f64 (log.f64 N))) (sqrt.f64 (log.f64 N)) (log1p.f64 N))
(fma.f64 (pow.f64 (cbrt.f64 (neg.f64 (log.f64 N))) 2) (cbrt.f64 (neg.f64 (log.f64 N))) (log1p.f64 N))
(fma.f64 (sqrt.f64 (neg.f64 (log.f64 N))) (sqrt.f64 (neg.f64 (log.f64 N))) (log1p.f64 N))
(fma.f64 -1 (log.f64 N) (log1p.f64 N))
(fma.f64 (+.f64 (sqrt.f64 (log1p.f64 N)) (sqrt.f64 (log.f64 N))) (-.f64 (sqrt.f64 (log1p.f64 N)) (sqrt.f64 (log.f64 N))) (fma.f64 (neg.f64 (log.f64 N)) 1 (log.f64 N)))
(fma.f64 (+.f64 (sqrt.f64 (log1p.f64 N)) (sqrt.f64 (log.f64 N))) (-.f64 (sqrt.f64 (log1p.f64 N)) (sqrt.f64 (log.f64 N))) (fma.f64 (neg.f64 (cbrt.f64 (log.f64 N))) (pow.f64 (cbrt.f64 (log.f64 N)) 2) (log.f64 N)))
(fma.f64 (+.f64 (sqrt.f64 (log1p.f64 N)) (sqrt.f64 (log.f64 N))) (-.f64 (sqrt.f64 (log1p.f64 N)) (sqrt.f64 (log.f64 N))) (+.f64 (neg.f64 (log.f64 N)) (log.f64 N)))
(fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (log.f64 N)) 2)) (cbrt.f64 (log.f64 N)) (log1p.f64 N))
(+.f64 0 (log1p.f64 N))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (+.f64 N 1)) 2)) (log.f64 (cbrt.f64 (+.f64 N 1))))
(+.f64 (log.f64 (sqrt.f64 (+.f64 N 1))) (log.f64 (sqrt.f64 (+.f64 N 1))))
(-.f64 (+.f64 1 (log1p.f64 N)) 1)
(-.f64 (log1p.f64 (pow.f64 N 3)) (log.f64 (+.f64 1 (-.f64 (pow.f64 N 2) N))))
(-.f64 (log.f64 (-.f64 1 (pow.f64 N 2))) (log.f64 (-.f64 1 N)))
(*.f64 (log1p.f64 N) 1)
(*.f64 (log1p.f64 N) (log.f64 (E.f64)))
(*.f64 1 (log1p.f64 N))
(*.f64 (cbrt.f64 (log1p.f64 N)) (pow.f64 (cbrt.f64 (log1p.f64 N)) 2))
(*.f64 (pow.f64 (cbrt.f64 (log1p.f64 N)) 2) (cbrt.f64 (log1p.f64 N)))
(*.f64 (sqrt.f64 (log1p.f64 N)) (sqrt.f64 (log1p.f64 N)))
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (log1p.f64 N))) 3) (pow.f64 (sqrt.f64 (cbrt.f64 (log1p.f64 N))) 3))
(*.f64 (pow.f64 1 1/3) (log1p.f64 N))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 N))) 2) 3) (cbrt.f64 (log1p.f64 N)))
(*.f64 (pow.f64 (pow.f64 (*.f64 (log1p.f64 N) (cbrt.f64 (log1p.f64 N))) 2) 1/3) (cbrt.f64 (cbrt.f64 (log1p.f64 N))))
(*.f64 (pow.f64 (pow.f64 (log1p.f64 N) 5/2) 1/3) (cbrt.f64 (sqrt.f64 (log1p.f64 N))))
(pow.f64 (log1p.f64 N) 1)
(pow.f64 (cbrt.f64 (log1p.f64 N)) 3)
(pow.f64 (pow.f64 (log1p.f64 N) 2) 1/2)
(pow.f64 (pow.f64 (log1p.f64 N) 3) 1/3)
(pow.f64 (sqrt.f64 (log1p.f64 N)) 2)
(pow.f64 (E.f64) (log.f64 (log1p.f64 N)))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (log1p.f64 N))) 2)) (cbrt.f64 (log.f64 (log1p.f64 N))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (log1p.f64 N)))) (sqrt.f64 (log.f64 (log1p.f64 N))))
(sqrt.f64 (pow.f64 (log1p.f64 N) 2))
(log.f64 (+.f64 N 1))
(cbrt.f64 (pow.f64 (log1p.f64 N) 3))
(expm1.f64 (log1p.f64 (log1p.f64 N)))
(exp.f64 (log.f64 (log1p.f64 N)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (log1p.f64 N))) 3))
(exp.f64 (*.f64 (*.f64 (log.f64 (log1p.f64 N)) 3) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (log1p.f64 N))) 2))
Outputs
(*.f64 -1 (log.f64 N))
(neg.f64 (log.f64 N))
(+.f64 N (*.f64 -1 (log.f64 N)))
(+.f64 N (neg.f64 (log.f64 N)))
(-.f64 N (log.f64 N))
(+.f64 N (+.f64 (*.f64 -1 (log.f64 N)) (*.f64 -1/2 (pow.f64 N 2))))
(+.f64 N (fma.f64 -1 (log.f64 N) (*.f64 -1/2 (pow.f64 N 2))))
(+.f64 N (fma.f64 -1/2 (pow.f64 N 2) (neg.f64 (log.f64 N))))
(-.f64 (fma.f64 -1/2 (pow.f64 N 2) N) (log.f64 N))
(+.f64 N (+.f64 (*.f64 -1 (log.f64 N)) (+.f64 (*.f64 -1/2 (pow.f64 N 2)) (*.f64 1/3 (pow.f64 N 3)))))
(+.f64 N (fma.f64 -1 (log.f64 N) (fma.f64 -1/2 (pow.f64 N 2) (*.f64 1/3 (pow.f64 N 3)))))
(+.f64 (fma.f64 -1/2 (pow.f64 N 2) (*.f64 1/3 (pow.f64 N 3))) (-.f64 N (log.f64 N)))
(+.f64 (*.f64 (pow.f64 N 2) (+.f64 (*.f64 N 1/3) -1/2)) (-.f64 N (log.f64 N)))
(/.f64 1 N)
(-.f64 (/.f64 1 N) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (/.f64 1 N) (/.f64 1/2 (pow.f64 N 2)))
(+.f64 (/.f64 1 N) (/.f64 -1/2 (pow.f64 N 2)))
(-.f64 (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 N 3))) (/.f64 1 N)) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (-.f64 (/.f64 1 N) (/.f64 1/2 (pow.f64 N 2))))
(+.f64 (/.f64 1 N) (+.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 -1/2 (pow.f64 N 2))))
(-.f64 (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 N 3))) (/.f64 1 N)) (+.f64 (*.f64 1/4 (/.f64 1 (pow.f64 N 4))) (*.f64 1/2 (/.f64 1 (pow.f64 N 2)))))
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (-.f64 (/.f64 1 N) (+.f64 (/.f64 1/2 (pow.f64 N 2)) (/.f64 1/4 (pow.f64 N 4)))))
(+.f64 (/.f64 1/3 (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 N) (+.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 -1/2 (pow.f64 N 2))))
(-.f64 (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 N 3))) (/.f64 1 N)) (+.f64 (*.f64 1/4 (/.f64 1 (pow.f64 N 4))) (*.f64 1/2 (/.f64 1 (pow.f64 N 2)))))
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (-.f64 (/.f64 1 N) (+.f64 (/.f64 1/2 (pow.f64 N 2)) (/.f64 1/4 (pow.f64 N 4)))))
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (+.f64 (/.f64 1 N) (+.f64 (/.f64 -1/2 (pow.f64 N 2)) (/.f64 -1/4 (pow.f64 N 4)))))
N
(+.f64 N (*.f64 -1/2 (pow.f64 N 2)))
(fma.f64 -1/2 (pow.f64 N 2) N)
(+.f64 N (+.f64 (*.f64 -1/2 (pow.f64 N 2)) (*.f64 1/3 (pow.f64 N 3))))
(+.f64 N (fma.f64 -1/2 (pow.f64 N 2) (*.f64 1/3 (pow.f64 N 3))))
(+.f64 (*.f64 1/3 (pow.f64 N 3)) (fma.f64 -1/2 (pow.f64 N 2) N))
(+.f64 N (*.f64 (pow.f64 N 2) (+.f64 (*.f64 N 1/3) -1/2)))
(+.f64 N (+.f64 (*.f64 -1/2 (pow.f64 N 2)) (+.f64 (*.f64 -1/4 (pow.f64 N 4)) (*.f64 1/3 (pow.f64 N 3)))))
(+.f64 N (fma.f64 -1/2 (pow.f64 N 2) (fma.f64 -1/4 (pow.f64 N 4) (*.f64 1/3 (pow.f64 N 3)))))
(+.f64 (fma.f64 -1/2 (pow.f64 N 2) N) (fma.f64 1/3 (pow.f64 N 3) (*.f64 (pow.f64 N 4) -1/4)))
(+.f64 N (fma.f64 -1/2 (pow.f64 N 2) (fma.f64 1/3 (pow.f64 N 3) (*.f64 (pow.f64 N 4) -1/4))))
(*.f64 -1 (log.f64 (/.f64 1 N)))
(neg.f64 (neg.f64 (log.f64 N)))
(log.f64 N)
(+.f64 (*.f64 -1 (log.f64 (/.f64 1 N))) (/.f64 1 N))
(fma.f64 -1 (neg.f64 (log.f64 N)) (/.f64 1 N))
(+.f64 (log.f64 N) (/.f64 1 N))
(-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 N))) (/.f64 1 N)) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (fma.f64 -1 (neg.f64 (log.f64 N)) (/.f64 1 N)) (/.f64 1/2 (pow.f64 N 2)))
(+.f64 (/.f64 1 N) (+.f64 (log.f64 N) (/.f64 -1/2 (pow.f64 N 2))))
(-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 N))) (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 N 3))) (/.f64 1 N))) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (fma.f64 -1 (neg.f64 (log.f64 N)) (+.f64 (/.f64 1 N) (/.f64 1/3 (pow.f64 N 3)))) (/.f64 1/2 (pow.f64 N 2)))
(+.f64 (log.f64 N) (+.f64 (/.f64 1 N) (+.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 -1/2 (pow.f64 N 2)))))
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (+.f64 (/.f64 1 N) (+.f64 (log.f64 N) (/.f64 -1/2 (pow.f64 N 2)))))
(+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 N))))
(+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 N))))
(-.f64 (log.f64 -1) (log.f64 (/.f64 -1 N)))
(+.f64 (log.f64 -1) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 N))) (/.f64 1 N)))
(+.f64 (log.f64 -1) (fma.f64 -1 (log.f64 (/.f64 -1 N)) (/.f64 1 N)))
(+.f64 (/.f64 1 N) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 N))))
(-.f64 (+.f64 (log.f64 -1) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 N))) (/.f64 1 N))) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (+.f64 (log.f64 -1) (fma.f64 -1 (log.f64 (/.f64 -1 N)) (/.f64 1 N))) (/.f64 1/2 (pow.f64 N 2)))
(+.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 N))) (+.f64 (/.f64 1 N) (/.f64 -1/2 (pow.f64 N 2))))
(+.f64 (/.f64 1 N) (+.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 N))) (/.f64 -1/2 (pow.f64 N 2))))
(-.f64 (+.f64 (log.f64 -1) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 N))) (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 N 3))) (/.f64 1 N)))) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(+.f64 (log.f64 -1) (-.f64 (fma.f64 -1 (log.f64 (/.f64 -1 N)) (+.f64 (/.f64 1 N) (/.f64 1/3 (pow.f64 N 3)))) (/.f64 1/2 (pow.f64 N 2))))
(+.f64 (log.f64 -1) (+.f64 (-.f64 (+.f64 (/.f64 1 N) (/.f64 1/3 (pow.f64 N 3))) (log.f64 (/.f64 -1 N))) (/.f64 -1/2 (pow.f64 N 2))))
(+.f64 (/.f64 1 N) (+.f64 (-.f64 (/.f64 1/3 (pow.f64 N 3)) (log.f64 (/.f64 -1 N))) (+.f64 (log.f64 -1) (/.f64 -1/2 (pow.f64 N 2)))))
(+.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 (-.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 (fabs.f64 (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 3/2))) (cbrt.f64 (fabs.f64 (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 3/2))))
(*.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)))
(*.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 (-.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)))
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(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (log1p.f64 N))) 3) (pow.f64 (sqrt.f64 (cbrt.f64 (log1p.f64 N))) 3))
(log1p.f64 N)
(*.f64 (pow.f64 1 1/3) (log1p.f64 N))
(log1p.f64 N)
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 N))) 2) 3) (cbrt.f64 (log1p.f64 N)))
(log1p.f64 N)
(*.f64 (pow.f64 (pow.f64 (*.f64 (log1p.f64 N) (cbrt.f64 (log1p.f64 N))) 2) 1/3) (cbrt.f64 (cbrt.f64 (log1p.f64 N))))
(*.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 N))) (cbrt.f64 (pow.f64 (*.f64 (log1p.f64 N) (cbrt.f64 (log1p.f64 N))) 2)))
(*.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 N))) (cbrt.f64 (pow.f64 (pow.f64 (cbrt.f64 (log1p.f64 N)) 4) 2)))
(*.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 N))) (cbrt.f64 (pow.f64 (cbrt.f64 (log1p.f64 N)) 8)))
(*.f64 (pow.f64 (pow.f64 (log1p.f64 N) 5/2) 1/3) (cbrt.f64 (sqrt.f64 (log1p.f64 N))))
(*.f64 (cbrt.f64 (pow.f64 (log1p.f64 N) 5/2)) (cbrt.f64 (sqrt.f64 (log1p.f64 N))))
(pow.f64 (log1p.f64 N) 1)
(log1p.f64 N)
(pow.f64 (cbrt.f64 (log1p.f64 N)) 3)
(log1p.f64 N)
(pow.f64 (pow.f64 (log1p.f64 N) 2) 1/2)
(log1p.f64 N)
(pow.f64 (pow.f64 (log1p.f64 N) 3) 1/3)
(log1p.f64 N)
(pow.f64 (sqrt.f64 (log1p.f64 N)) 2)
(log1p.f64 N)
(pow.f64 (E.f64) (log.f64 (log1p.f64 N)))
(log1p.f64 N)
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (log1p.f64 N))) 2)) (cbrt.f64 (log.f64 (log1p.f64 N))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (log1p.f64 N)))) (sqrt.f64 (log.f64 (log1p.f64 N))))
(sqrt.f64 (pow.f64 (log1p.f64 N) 2))
(log1p.f64 N)
(log.f64 (+.f64 N 1))
(log1p.f64 N)
(cbrt.f64 (pow.f64 (log1p.f64 N) 3))
(log1p.f64 N)
(expm1.f64 (log1p.f64 (log1p.f64 N)))
(log1p.f64 N)
(exp.f64 (log.f64 (log1p.f64 N)))
(log1p.f64 N)
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (log1p.f64 N))) 3))
(log1p.f64 N)
(exp.f64 (*.f64 (*.f64 (log.f64 (log1p.f64 N)) 3) 1/3))
(log1p.f64 N)
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (log1p.f64 N))) 2))
(log1p.f64 N)

eval96.0ms (0.9%)

Compiler

Compiled 3089 to 1443 computations (53.3% saved)

prune72.0ms (0.7%)

Pruning

19 alts after pruning (18 fresh and 1 done)

PrunedKeptTotal
New19718215
Fresh000
Picked011
Done000
Total19719216
Accuracy
99.5%
Counts
216 → 19
Alt Table
Click to see full alt table
StatusAccuracyProgram
23.6%
(fma.f64 (pow.f64 (cbrt.f64 (log1p.f64 N)) 2) (cbrt.f64 (log1p.f64 N)) (neg.f64 (log.f64 N)))
24.3%
(fma.f64 (sqrt.f64 (log1p.f64 N)) (sqrt.f64 (log1p.f64 N)) (neg.f64 (log.f64 N)))
23.4%
(pow.f64 (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 3) 1/3)
23.3%
(/.f64 (-.f64 (pow.f64 (log1p.f64 N) 3) (pow.f64 (log.f64 N) 3)) (fma.f64 (log.f64 N) (+.f64 (log1p.f64 N) (log.f64 N)) (pow.f64 (log1p.f64 N) 2)))
23.2%
(/.f64 (-.f64 (pow.f64 (log1p.f64 N) 2) (pow.f64 (log.f64 N) 2)) (+.f64 (log1p.f64 N) (log.f64 N)))
23.2%
(/.f64 1 (/.f64 (+.f64 (log1p.f64 N) (log.f64 N)) (-.f64 (pow.f64 (log1p.f64 N) 2) (pow.f64 (log.f64 N) 2))))
85.1%
(/.f64 1 N)
93.4%
(-.f64 (/.f64 1 N) (/.f64 1/2 (pow.f64 N 2)))
23.4%
(-.f64 (-.f64 (+.f64 1 (log1p.f64 N)) 1) (log.f64 N))
23.4%
(-.f64 (log1p.f64 N) (log.f64 N))
96.1%
(+.f64 (/.f64 1 N) (+.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 -1/2 (pow.f64 N 2))))
96.1%
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (-.f64 (/.f64 1 N) (/.f64 1/2 (pow.f64 N 2))))
97.4%
(+.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)))))
24.0%
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 N 1) N)) 2)) (log.f64 (cbrt.f64 (/.f64 (+.f64 N 1) N))))
22.4%
(*.f64 (+.f64 (sqrt.f64 (log1p.f64 N)) (sqrt.f64 (log.f64 N))) (-.f64 (sqrt.f64 (log1p.f64 N)) (sqrt.f64 (log.f64 N))))
24.1%
(*.f64 3 (log.f64 (cbrt.f64 (/.f64 (+.f64 N 1) N))))
24.9%
(*.f64 2 (log.f64 (sqrt.f64 (/.f64 (+.f64 N 1) N))))
25.7%
(log.f64 (/.f64 (+.f64 N 1) N))
23.4%
(exp.f64 (log.f64 (-.f64 (log1p.f64 N) (log.f64 N))))
23.6%
(fma.f64 (pow.f64 (cbrt.f64 (log1p.f64 N)) 2) (cbrt.f64 (log1p.f64 N)) (neg.f64 (log.f64 N)))
24.3%
(fma.f64 (sqrt.f64 (log1p.f64 N)) (sqrt.f64 (log1p.f64 N)) (neg.f64 (log.f64 N)))
23.4%
(pow.f64 (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 3) 1/3)
23.3%
(/.f64 (-.f64 (pow.f64 (log1p.f64 N) 3) (pow.f64 (log.f64 N) 3)) (fma.f64 (log.f64 N) (+.f64 (log1p.f64 N) (log.f64 N)) (pow.f64 (log1p.f64 N) 2)))
23.2%
(/.f64 (-.f64 (pow.f64 (log1p.f64 N) 2) (pow.f64 (log.f64 N) 2)) (+.f64 (log1p.f64 N) (log.f64 N)))
23.2%
(/.f64 1 (/.f64 (+.f64 (log1p.f64 N) (log.f64 N)) (-.f64 (pow.f64 (log1p.f64 N) 2) (pow.f64 (log.f64 N) 2))))
85.1%
(/.f64 1 N)
93.4%
(-.f64 (/.f64 1 N) (/.f64 1/2 (pow.f64 N 2)))
23.4%
(-.f64 (-.f64 (+.f64 1 (log1p.f64 N)) 1) (log.f64 N))
23.4%
(-.f64 (log1p.f64 N) (log.f64 N))
96.1%
(+.f64 (/.f64 1 N) (+.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 -1/2 (pow.f64 N 2))))
96.1%
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (-.f64 (/.f64 1 N) (/.f64 1/2 (pow.f64 N 2))))
97.4%
(+.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)))))
24.0%
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 N 1) N)) 2)) (log.f64 (cbrt.f64 (/.f64 (+.f64 N 1) N))))
22.4%
(*.f64 (+.f64 (sqrt.f64 (log1p.f64 N)) (sqrt.f64 (log.f64 N))) (-.f64 (sqrt.f64 (log1p.f64 N)) (sqrt.f64 (log.f64 N))))
24.1%
(*.f64 3 (log.f64 (cbrt.f64 (/.f64 (+.f64 N 1) N))))
24.9%
(*.f64 2 (log.f64 (sqrt.f64 (/.f64 (+.f64 N 1) N))))
25.7%
(log.f64 (/.f64 (+.f64 N 1) N))
23.4%
(exp.f64 (log.f64 (-.f64 (log1p.f64 N) (log.f64 N))))
Compiler

Compiled 964 to 684 computations (29% saved)

localize267.0ms (2.6%)

Localize:

Found 15 expressions with local error:

NewAccuracyProgram
99.4%
(/.f64 (-.f64 (pow.f64 (log1p.f64 N) 2) (pow.f64 (log.f64 N) 2)) (+.f64 (log1p.f64 N) (log.f64 N)))
99.2%
(pow.f64 (log1p.f64 N) 2)
99.2%
(pow.f64 (log.f64 N) 2)
23.6%
(-.f64 (pow.f64 (log1p.f64 N) 2) (pow.f64 (log.f64 N) 2))
100.0%
(log1p.f64 N)
100.0%
(log.f64 (-.f64 (log1p.f64 N) (log.f64 N)))
95.2%
(exp.f64 (log.f64 (-.f64 (log1p.f64 N) (log.f64 N))))
23.4%
(-.f64 (log1p.f64 N) (log.f64 N))
99.8%
(cbrt.f64 (/.f64 (+.f64 N 1) N))
99.6%
(*.f64 3 (log.f64 (cbrt.f64 (/.f64 (+.f64 N 1) N))))
24.6%
(log.f64 (cbrt.f64 (/.f64 (+.f64 N 1) N)))
99.8%
(-.f64 (/.f64 1 N) (+.f64 (/.f64 1/2 (pow.f64 N 2)) (/.f64 1/4 (pow.f64 N 4))))
99.6%
(/.f64 1/2 (pow.f64 N 2))
99.5%
(/.f64 1/4 (pow.f64 N 4))
99.4%
(/.f64 1/3 (pow.f64 N 3))
Compiler

Compiled 188 to 115 computations (38.8% saved)

series150.0ms (1.4%)

Counts
13 → 104
Calls

39 calls:

TimeVariablePointExpression
81.0ms
N
@0
(log.f64 (-.f64 (log1p.f64 N) (log.f64 N)))
23.0ms
N
@0
(pow.f64 (log.f64 N) 2)
17.0ms
N
@-inf
(pow.f64 (log.f64 N) 2)
6.0ms
N
@inf
(pow.f64 (log.f64 N) 2)
4.0ms
N
@-inf
(/.f64 (-.f64 (pow.f64 (log1p.f64 N) 2) (pow.f64 (log.f64 N) 2)) (+.f64 (log1p.f64 N) (log.f64 N)))

rewrite148.0ms (1.4%)

Algorithm
batch-egg-rewrite
Rules
350×associate-*r*
262×log1p-expm1-u
262×expm1-log1p-u
248×add-exp-log
248×pow1
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
037335
1601295
Stop Event
node limit
Counts
13 → 463
Calls
Call 1
Inputs
(/.f64 1/3 (pow.f64 N 3))
(/.f64 1/4 (pow.f64 N 4))
(/.f64 1/2 (pow.f64 N 2))
(-.f64 (/.f64 1 N) (+.f64 (/.f64 1/2 (pow.f64 N 2)) (/.f64 1/4 (pow.f64 N 4))))
(log.f64 (cbrt.f64 (/.f64 (+.f64 N 1) N)))
(*.f64 3 (log.f64 (cbrt.f64 (/.f64 (+.f64 N 1) N))))
(cbrt.f64 (/.f64 (+.f64 N 1) N))
(exp.f64 (log.f64 (-.f64 (log1p.f64 N) (log.f64 N))))
(log.f64 (-.f64 (log1p.f64 N) (log.f64 N)))
(-.f64 (pow.f64 (log1p.f64 N) 2) (pow.f64 (log.f64 N) 2))
(pow.f64 (log.f64 N) 2)
(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)))
Outputs
(-.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 (/.f64 (cbrt.f64 1/3) N) (pow.f64 (/.f64 (cbrt.f64 1/3) N) 2))
(*.f64 (pow.f64 (/.f64 (cbrt.f64 1/3) N) 2) (/.f64 (cbrt.f64 1/3) N))
(*.f64 (/.f64 (sqrt.f64 1/3) (pow.f64 N 3/2)) (/.f64 (sqrt.f64 1/3) (pow.f64 N 3/2)))
(*.f64 -1/3 (/.f64 1 (neg.f64 (pow.f64 N 3))))
(pow.f64 (*.f64 1/3 (pow.f64 N -3)) 1)
(pow.f64 (/.f64 (cbrt.f64 1/3) N) 3)
(pow.f64 (pow.f64 (*.f64 1/3 (pow.f64 N -3)) 3) 1/3)
(pow.f64 (/.f64 (sqrt.f64 1/3) (pow.f64 N 3/2)) 2)
(pow.f64 (*.f64 (pow.f64 N 3) 3) -1)
(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))))
(exp.f64 (log.f64 (*.f64 1/3 (pow.f64 N -3))))
(exp.f64 (*.f64 (log.f64 (*.f64 1/3 (pow.f64 N -3))) 1))
(log1p.f64 (expm1.f64 (*.f64 1/3 (pow.f64 N -3))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 1/4 (pow.f64 N -4)))) 1)
(*.f64 1/4 (pow.f64 N -4))
(*.f64 1/4 (*.f64 (pow.f64 N -2) (pow.f64 N -2)))
(*.f64 1/2 (*.f64 (pow.f64 N -2) (*.f64 1/2 (pow.f64 N -2))))
(*.f64 (*.f64 1/2 (pow.f64 N -2)) (*.f64 1/2 (pow.f64 N -2)))
(*.f64 1 (*.f64 1/4 (pow.f64 N -4)))
(*.f64 (cbrt.f64 (*.f64 1/4 (pow.f64 N -4))) (cbrt.f64 (/.f64 1/16 (pow.f64 N 8))))
(*.f64 (cbrt.f64 (*.f64 1/4 (pow.f64 N -4))) (*.f64 (cbrt.f64 (*.f64 1/2 (pow.f64 N -2))) (*.f64 1/2 (pow.f64 N -2))))
(*.f64 (cbrt.f64 (/.f64 1/16 (pow.f64 N 8))) (cbrt.f64 (*.f64 1/4 (pow.f64 N -4))))
(*.f64 (/.f64 (sqrt.f64 1/2) N) (*.f64 (/.f64 (sqrt.f64 1/2) N) (*.f64 1/2 (pow.f64 N -2))))
(*.f64 -1/4 (/.f64 1 (neg.f64 (pow.f64 N 4))))
(*.f64 (*.f64 (*.f64 1/2 (pow.f64 N -2)) 1) (*.f64 1/2 (pow.f64 N -2)))
(*.f64 (*.f64 (*.f64 1/2 (pow.f64 N -2)) (/.f64 (sqrt.f64 1/2) N)) (/.f64 (sqrt.f64 1/2) N))
(*.f64 (*.f64 (*.f64 1/2 (pow.f64 N -2)) 1/2) (pow.f64 N -2))
(*.f64 (*.f64 (*.f64 1/2 (pow.f64 N -2)) (cbrt.f64 (*.f64 1/4 (pow.f64 N -4)))) (cbrt.f64 (*.f64 1/2 (pow.f64 N -2))))
(pow.f64 (*.f64 1/4 (pow.f64 N -4)) 1)
(pow.f64 (*.f64 1/2 (pow.f64 N -2)) 2)
(pow.f64 (cbrt.f64 (*.f64 1/4 (pow.f64 N -4))) 3)
(pow.f64 (*.f64 1/64 (pow.f64 (pow.f64 N -4) 3)) 1/3)
(pow.f64 (*.f64 (pow.f64 N 4) 4) -1)
(sqrt.f64 (/.f64 1/16 (pow.f64 N 8)))
(log.f64 (pow.f64 (exp.f64 1/4) (pow.f64 N -4)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 1/4 (pow.f64 N -4)))))
(cbrt.f64 (*.f64 1/64 (pow.f64 (pow.f64 N -4) 3)))
(expm1.f64 (log1p.f64 (*.f64 1/4 (pow.f64 N -4))))
(exp.f64 (log.f64 (*.f64 1/4 (pow.f64 N -4))))
(exp.f64 (*.f64 (log.f64 (*.f64 1/4 (pow.f64 N -4))) 1))
(log1p.f64 (expm1.f64 (*.f64 1/4 (pow.f64 N -4))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 1/2 (pow.f64 N -2)))) 1)
(*.f64 1/2 (pow.f64 N -2))
(*.f64 1/2 (sqrt.f64 (pow.f64 N -4)))
(*.f64 1 (*.f64 1/2 (pow.f64 N -2)))
(*.f64 (cbrt.f64 (*.f64 1/2 (pow.f64 N -2))) (cbrt.f64 (*.f64 1/4 (pow.f64 N -4))))
(*.f64 (cbrt.f64 (*.f64 1/4 (pow.f64 N -4))) (cbrt.f64 (*.f64 1/2 (pow.f64 N -2))))
(*.f64 (/.f64 (sqrt.f64 1/2) N) (/.f64 (sqrt.f64 1/2) N))
(*.f64 -1/2 (/.f64 1 (neg.f64 (pow.f64 N 2))))
(*.f64 (sqrt.f64 (cbrt.f64 (/.f64 1/16 (pow.f64 N 8)))) (sqrt.f64 (cbrt.f64 (*.f64 1/4 (pow.f64 N -4)))))
(pow.f64 (*.f64 1/4 (pow.f64 N -4)) 1/2)
(pow.f64 (*.f64 1/2 (pow.f64 N -2)) 1)
(pow.f64 (cbrt.f64 (*.f64 1/2 (pow.f64 N -2))) 3)
(pow.f64 (/.f64 1/8 (pow.f64 N 6)) 1/3)
(pow.f64 (/.f64 (sqrt.f64 1/2) N) 2)
(pow.f64 (*.f64 (pow.f64 N 2) 2) -1)
(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))))
(exp.f64 (log.f64 (*.f64 1/2 (pow.f64 N -2))))
(exp.f64 (*.f64 (log.f64 (*.f64 1/2 (pow.f64 N -2))) 1))
(log1p.f64 (expm1.f64 (*.f64 1/2 (pow.f64 N -2))))
(+.f64 (/.f64 1 N) (neg.f64 (fma.f64 1/4 (pow.f64 N -4) (*.f64 1/2 (pow.f64 N -2)))))
(+.f64 (-.f64 (/.f64 1 N) (fma.f64 1/4 (pow.f64 N -4) (*.f64 1/2 (pow.f64 N -2)))) (fma.f64 (neg.f64 (cbrt.f64 (fma.f64 1/4 (pow.f64 N -4) (*.f64 1/2 (pow.f64 N -2))))) (pow.f64 (cbrt.f64 (fma.f64 1/4 (pow.f64 N -4) (*.f64 1/2 (pow.f64 N -2)))) 2) (fma.f64 1/4 (pow.f64 N -4) (*.f64 1/2 (pow.f64 N -2)))))
(+.f64 (-.f64 (/.f64 1 N) (fma.f64 1/4 (pow.f64 N -4) (*.f64 1/2 (pow.f64 N -2)))) (fma.f64 (neg.f64 (hypot.f64 (*.f64 1/2 (pow.f64 N -2)) (/.f64 (sqrt.f64 1/2) N))) (hypot.f64 (*.f64 1/2 (pow.f64 N -2)) (/.f64 (sqrt.f64 1/2) N)) (fma.f64 1/4 (pow.f64 N -4) (*.f64 1/2 (pow.f64 N -2)))))
(+.f64 (+.f64 (/.f64 1 N) (*.f64 -1/2 (pow.f64 N -2))) (neg.f64 (*.f64 1/4 (pow.f64 N -4))))
(+.f64 (+.f64 (/.f64 1 N) (*.f64 -1/2 (pow.f64 N -2))) (*.f64 -1/4 (pow.f64 N -4)))
(+.f64 (+.f64 (/.f64 1 N) (*.f64 -1/2 (pow.f64 N -2))) (*.f64 -1 (*.f64 1/4 (pow.f64 N -4))))
(+.f64 (+.f64 (/.f64 1 N) (*.f64 -1/2 (pow.f64 N -2))) (*.f64 (neg.f64 (cbrt.f64 (/.f64 1/16 (pow.f64 N 8)))) (cbrt.f64 (*.f64 1/4 (pow.f64 N -4)))))
(+.f64 (+.f64 (/.f64 1 N) (*.f64 -1/2 (pow.f64 N -2))) (*.f64 (neg.f64 (*.f64 1/2 (pow.f64 N -2))) (*.f64 1/2 (pow.f64 N -2))))
(+.f64 (fma.f64 1 (/.f64 1 N) (neg.f64 (*.f64 (fma.f64 1/4 (pow.f64 N -4) (*.f64 1/2 (pow.f64 N -2))) 1))) (fma.f64 (neg.f64 (fma.f64 1/4 (pow.f64 N -4) (*.f64 1/2 (pow.f64 N -2)))) 1 (*.f64 (fma.f64 1/4 (pow.f64 N -4) (*.f64 1/2 (pow.f64 N -2))) 1)))
(+.f64 (fma.f64 (cbrt.f64 (pow.f64 N -2)) (cbrt.f64 (/.f64 1 N)) (neg.f64 (*.f64 (fma.f64 1/4 (pow.f64 N -4) (*.f64 1/2 (pow.f64 N -2))) 1))) (fma.f64 (neg.f64 (fma.f64 1/4 (pow.f64 N -4) (*.f64 1/2 (pow.f64 N -2)))) 1 (*.f64 (fma.f64 1/4 (pow.f64 N -4) (*.f64 1/2 (pow.f64 N -2))) 1)))
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(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 (pow.f64 (log1p.f64 N) 2) (pow.f64 (log.f64 N) 2))) 2) 1) (/.f64 (cbrt.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 (cbrt.f64 (-.f64 (pow.f64 (log1p.f64 N) 2) (pow.f64 (log.f64 N) 2))) 2) (pow.f64 (cbrt.f64 (+.f64 (log1p.f64 N) (log.f64 N))) 2)) (cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 (pow.f64 (log1p.f64 N) 2) (pow.f64 (log.f64 N) 2))) 2) (sqrt.f64 (+.f64 (log1p.f64 N) (log.f64 N)))) (/.f64 (cbrt.f64 (-.f64 (pow.f64 (log1p.f64 N) 2) (pow.f64 (log.f64 N) 2))) (sqrt.f64 (+.f64 (log1p.f64 N) (log.f64 N)))))
(*.f64 (/.f64 (sqrt.f64 (-.f64 (pow.f64 (log1p.f64 N) 2) (pow.f64 (log.f64 N) 2))) 1) (/.f64 (sqrt.f64 (-.f64 (pow.f64 (log1p.f64 N) 2) (pow.f64 (log.f64 N) 2))) (+.f64 (log1p.f64 N) (log.f64 N))))
(*.f64 (/.f64 (sqrt.f64 (-.f64 (pow.f64 (log1p.f64 N) 2) (pow.f64 (log.f64 N) 2))) (pow.f64 (cbrt.f64 (+.f64 (log1p.f64 N) (log.f64 N))) 2)) (/.f64 (sqrt.f64 (-.f64 (pow.f64 (log1p.f64 N) 2) (pow.f64 (log.f64 N) 2))) (cbrt.f64 (+.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 (*.f64 3 (cbrt.f64 (pow.f64 (*.f64 1/3 (-.f64 (log1p.f64 N) (log.f64 N))) 2))) (cbrt.f64 (*.f64 1/3 (-.f64 (log1p.f64 N) (log.f64 N)))))
(*.f64 (*.f64 3 (sqrt.f64 (*.f64 1/3 (-.f64 (log1p.f64 N) (log.f64 N))))) (sqrt.f64 (*.f64 1/3 (-.f64 (log1p.f64 N) (log.f64 N)))))
(pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 1)
(pow.f64 (cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))) 3)
(pow.f64 (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 3) 1/3)
(pow.f64 (sqrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))) 2)
(pow.f64 (/.f64 1 (-.f64 (log1p.f64 N) (log.f64 N))) -1)
(pow.f64 (exp.f64 1) (log.f64 (-.f64 (log1p.f64 N) (log.f64 N))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (-.f64 (log1p.f64 N) (log.f64 N)))) 2)) (cbrt.f64 (log.f64 (-.f64 (log1p.f64 N) (log.f64 N)))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (-.f64 (log1p.f64 N) (log.f64 N))))) (sqrt.f64 (log.f64 (-.f64 (log1p.f64 N) (log.f64 N)))))
(neg.f64 (log.f64 (/.f64 N (+.f64 N 1))))
(neg.f64 (/.f64 (-.f64 (pow.f64 (log1p.f64 N) 2) (pow.f64 (log.f64 N) 2)) (neg.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))
(log.f64 (+.f64 1 (-.f64 (/.f64 (+.f64 N 1) N) 1)))
(cbrt.f64 (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 3))
(cbrt.f64 (/.f64 (pow.f64 (-.f64 (pow.f64 (log1p.f64 N) 2) (pow.f64 (log.f64 N) 2)) 3) (pow.f64 (+.f64 (log1p.f64 N) (log.f64 N)) 3)))
(expm1.f64 (log1p.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))
(log1p.f64 (-.f64 (/.f64 (+.f64 N 1) N) 1))
(fma.f64 1 (log1p.f64 N) (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 (sqrt.f64 (log1p.f64 N)) (sqrt.f64 (log1p.f64 N)) (neg.f64 (log.f64 N)))

simplify254.0ms (2.5%)

Algorithm
egg-herbie
Rules
642×associate-+r+
600×associate-+l+
504×distribute-rgt-in
490×distribute-lft-in
472×times-frac
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0115431380
1324330086
Stop Event
node limit
Counts
567 → 657
Calls
Call 1
Inputs
(/.f64 -1/4 (pow.f64 N 4))
(neg.f64 (+.f64 (*.f64 1/2 (/.f64 1 (pow.f64 N 2))) (*.f64 1/4 (/.f64 1 (pow.f64 N 4)))))
(-.f64 (/.f64 1 N) (+.f64 (*.f64 1/2 (/.f64 1 (pow.f64 N 2))) (*.f64 1/4 (/.f64 1 (pow.f64 N 4)))))
(-.f64 (/.f64 1 N) (+.f64 (*.f64 1/2 (/.f64 1 (pow.f64 N 2))) (*.f64 1/4 (/.f64 1 (pow.f64 N 4)))))
(/.f64 1 N)
(-.f64 (/.f64 1 N) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (/.f64 1 N) (+.f64 (*.f64 1/4 (/.f64 1 (pow.f64 N 4))) (*.f64 1/2 (/.f64 1 (pow.f64 N 2)))))
(-.f64 (/.f64 1 N) (+.f64 (*.f64 1/4 (/.f64 1 (pow.f64 N 4))) (*.f64 1/2 (/.f64 1 (pow.f64 N 2)))))
(/.f64 1 N)
(-.f64 (/.f64 1 N) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (/.f64 1 N) (+.f64 (*.f64 1/4 (/.f64 1 (pow.f64 N 4))) (*.f64 1/2 (/.f64 1 (pow.f64 N 2)))))
(-.f64 (/.f64 1 N) (+.f64 (*.f64 1/4 (/.f64 1 (pow.f64 N 4))) (*.f64 1/2 (/.f64 1 (pow.f64 N 2)))))
(/.f64 1/3 N)
(-.f64 (*.f64 1/3 (/.f64 1 N)) (*.f64 1/6 (/.f64 1 (pow.f64 N 2))))
(-.f64 (+.f64 (*.f64 1/9 (/.f64 1 (pow.f64 N 3))) (*.f64 1/3 (/.f64 1 N))) (*.f64 1/6 (/.f64 1 (pow.f64 N 2))))
(-.f64 (+.f64 (*.f64 1/9 (/.f64 1 (pow.f64 N 3))) (*.f64 1/3 (/.f64 1 N))) (+.f64 (*.f64 1/12 (/.f64 1 (pow.f64 N 4))) (*.f64 1/6 (/.f64 1 (pow.f64 N 2)))))
(log.f64 (pow.f64 (cbrt.f64 -1) 2))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 -1) 2)) (*.f64 -1/3 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 5)) 1/3) (/.f64 1 N))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 -1) 2)) (+.f64 (*.f64 -1/3 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 5)) 1/3) (/.f64 1 N))) (*.f64 1/2 (/.f64 (+.f64 (*.f64 -2/9 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 10)) 1/3)) (*.f64 -1/9 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 10)) 1/3))) (pow.f64 N 2)))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 -1) 2)) (+.f64 (*.f64 -1/3 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 5)) 1/3) (/.f64 1 N))) (+.f64 (*.f64 -1/6 (/.f64 (+.f64 (*.f64 2/27 (/.f64 1 (pow.f64 (cbrt.f64 -1) 5))) (+.f64 (*.f64 2/9 (*.f64 (pow.f64 1 1/3) (/.f64 1 (pow.f64 (cbrt.f64 -1) 5)))) (*.f64 2 (+.f64 (*.f64 -2/9 (*.f64 (pow.f64 1 1/3) (/.f64 1 (pow.f64 (cbrt.f64 -1) 2)))) (*.f64 1/27 (/.f64 1 (pow.f64 (cbrt.f64 -1) 2))))))) (pow.f64 N 3))) (*.f64 1/2 (/.f64 (+.f64 (*.f64 -2/9 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 10)) 1/3)) (*.f64 -1/9 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 10)) 1/3))) (pow.f64 N 2))))))
(/.f64 1 N)
(-.f64 (/.f64 1 N) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 N 3))) (/.f64 1 N)) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 N 3))) (/.f64 1 N)) (+.f64 (*.f64 1/4 (/.f64 1 (pow.f64 N 4))) (*.f64 1/2 (/.f64 1 (pow.f64 N 2)))))
(*.f64 3 (log.f64 (pow.f64 (cbrt.f64 -1) 2)))
(+.f64 (*.f64 -1 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 5)) 1/3) (/.f64 1 N))) (*.f64 3 (log.f64 (pow.f64 (cbrt.f64 -1) 2))))
(+.f64 (*.f64 -1 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 5)) 1/3) (/.f64 1 N))) (+.f64 (*.f64 3/2 (/.f64 (+.f64 (*.f64 -2/9 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 10)) 1/3)) (*.f64 -1/9 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 10)) 1/3))) (pow.f64 N 2))) (*.f64 3 (log.f64 (pow.f64 (cbrt.f64 -1) 2)))))
(+.f64 (*.f64 -1 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 5)) 1/3) (/.f64 1 N))) (+.f64 (*.f64 -1/2 (/.f64 (+.f64 (*.f64 2/9 (*.f64 (pow.f64 1 1/3) (/.f64 1 (pow.f64 (cbrt.f64 -1) 5)))) (+.f64 (*.f64 2 (+.f64 (*.f64 -2/9 (*.f64 (pow.f64 1 1/3) (/.f64 1 (pow.f64 (cbrt.f64 -1) 2)))) (*.f64 1/27 (/.f64 1 (pow.f64 (cbrt.f64 -1) 2))))) (*.f64 2/27 (/.f64 1 (pow.f64 (cbrt.f64 -1) 5))))) (pow.f64 N 3))) (+.f64 (*.f64 3/2 (/.f64 (+.f64 (*.f64 -2/9 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 10)) 1/3)) (*.f64 -1/9 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 10)) 1/3))) (pow.f64 N 2))) (*.f64 3 (log.f64 (pow.f64 (cbrt.f64 -1) 2))))))
1
(+.f64 1 (*.f64 1/3 (/.f64 1 N)))
(-.f64 (+.f64 1 (*.f64 1/3 (/.f64 1 N))) (*.f64 1/9 (/.f64 1 (pow.f64 N 2))))
(-.f64 (+.f64 1 (+.f64 (*.f64 5/81 (/.f64 1 (pow.f64 N 3))) (*.f64 1/3 (/.f64 1 N)))) (*.f64 1/9 (/.f64 1 (pow.f64 N 2))))
(pow.f64 (cbrt.f64 -1) 2)
(+.f64 (*.f64 -1/3 (*.f64 (pow.f64 (*.f64 1 (cbrt.f64 -1)) 1/3) (/.f64 1 N))) (pow.f64 (cbrt.f64 -1) 2))
(+.f64 (*.f64 -1/3 (*.f64 (pow.f64 (*.f64 1 (cbrt.f64 -1)) 1/3) (/.f64 1 N))) (+.f64 (*.f64 -1/9 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 4)) 1/3) (/.f64 1 (pow.f64 N 2)))) (pow.f64 (cbrt.f64 -1) 2)))
(+.f64 (*.f64 -1/3 (*.f64 (pow.f64 (*.f64 1 (cbrt.f64 -1)) 1/3) (/.f64 1 N))) (+.f64 (*.f64 -1/9 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 4)) 1/3) (/.f64 1 (pow.f64 N 2)))) (+.f64 (*.f64 1/3 (/.f64 (+.f64 (*.f64 -2/9 (*.f64 (pow.f64 1 1/3) (/.f64 1 (pow.f64 (cbrt.f64 -1) 2)))) (*.f64 1/27 (/.f64 1 (pow.f64 (cbrt.f64 -1) 2)))) (*.f64 (pow.f64 N 3) (cbrt.f64 -1)))) (pow.f64 (cbrt.f64 -1) 2))))
(*.f64 -1 (log.f64 N))
(+.f64 N (*.f64 -1 (log.f64 N)))
(+.f64 N (+.f64 (*.f64 -1 (log.f64 N)) (*.f64 -1/2 (pow.f64 N 2))))
(+.f64 N (+.f64 (*.f64 -1 (log.f64 N)) (+.f64 (*.f64 -1/2 (pow.f64 N 2)) (*.f64 1/3 (pow.f64 N 3)))))
(/.f64 1 N)
(-.f64 (/.f64 1 N) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 N 3))) (/.f64 1 N)) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 N 3))) (/.f64 1 N)) (+.f64 (*.f64 1/4 (/.f64 1 (pow.f64 N 4))) (*.f64 1/2 (/.f64 1 (pow.f64 N 2)))))
(/.f64 1 N)
(-.f64 (/.f64 1 N) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 N 3))) (/.f64 1 N)) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 N 3))) (/.f64 1 N)) (+.f64 (*.f64 1/4 (/.f64 1 (pow.f64 N 4))) (*.f64 1/2 (/.f64 1 (pow.f64 N 2)))))
(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 -1 (pow.f64 (log.f64 N) 2))
(+.f64 (*.f64 -1 (pow.f64 (log.f64 N) 2)) (pow.f64 N 2))
(+.f64 (*.f64 -1 (pow.f64 N 3)) (+.f64 (*.f64 -1 (pow.f64 (log.f64 N) 2)) (pow.f64 N 2)))
(+.f64 (*.f64 -1 (pow.f64 N 3)) (+.f64 (*.f64 -1 (pow.f64 (log.f64 N) 2)) (+.f64 (*.f64 11/12 (pow.f64 N 4)) (pow.f64 N 2))))
(*.f64 -2 (/.f64 (log.f64 (/.f64 1 N)) N))
(+.f64 (*.f64 -2 (/.f64 (log.f64 (/.f64 1 N)) N)) (+.f64 (/.f64 1 (pow.f64 N 2)) (/.f64 (log.f64 (/.f64 1 N)) (pow.f64 N 2))))
(-.f64 (+.f64 (*.f64 -2 (/.f64 (log.f64 (/.f64 1 N)) N)) (+.f64 (*.f64 -2/3 (/.f64 (log.f64 (/.f64 1 N)) (pow.f64 N 3))) (+.f64 (/.f64 1 (pow.f64 N 2)) (/.f64 (log.f64 (/.f64 1 N)) (pow.f64 N 2))))) (/.f64 1 (pow.f64 N 3)))
(-.f64 (+.f64 (*.f64 -2 (/.f64 (log.f64 (/.f64 1 N)) N)) (+.f64 (*.f64 -2/3 (/.f64 (log.f64 (/.f64 1 N)) (pow.f64 N 3))) (+.f64 (*.f64 1/2 (/.f64 (log.f64 (/.f64 1 N)) (pow.f64 N 4))) (+.f64 (*.f64 11/12 (/.f64 1 (pow.f64 N 4))) (+.f64 (/.f64 1 (pow.f64 N 2)) (/.f64 (log.f64 (/.f64 1 N)) (pow.f64 N 2))))))) (/.f64 1 (pow.f64 N 3)))
(*.f64 2 (/.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 N)))) N))
(+.f64 (*.f64 -1 (/.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 N)))) (pow.f64 N 2))) (+.f64 (*.f64 2 (/.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 N)))) N)) (/.f64 1 (pow.f64 N 2))))
(+.f64 (*.f64 -1 (/.f64 (+.f64 1 (*.f64 -2/3 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 N)))))) (pow.f64 N 3))) (+.f64 (*.f64 -1 (/.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 N)))) (pow.f64 N 2))) (+.f64 (*.f64 2 (/.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 N)))) N)) (/.f64 1 (pow.f64 N 2)))))
(+.f64 (*.f64 -1 (/.f64 (+.f64 1 (*.f64 -2/3 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 N)))))) (pow.f64 N 3))) (+.f64 (*.f64 -1 (/.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 N)))) (pow.f64 N 2))) (+.f64 (*.f64 -1/2 (/.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 N)))) (pow.f64 N 4))) (+.f64 (*.f64 11/12 (/.f64 1 (pow.f64 N 4))) (+.f64 (*.f64 2 (/.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 N)))) N)) (/.f64 1 (pow.f64 N 2)))))))
(pow.f64 (log.f64 (/.f64 1 N)) 2)
(pow.f64 (log.f64 (/.f64 1 N)) 2)
(pow.f64 (log.f64 (/.f64 1 N)) 2)
(pow.f64 (log.f64 (/.f64 1 N)) 2)
(pow.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 N)))) 2)
(pow.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 N)))) 2)
(pow.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 N)))) 2)
(pow.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 N)))) 2)
(pow.f64 N 2)
(+.f64 (*.f64 -1 (pow.f64 N 3)) (pow.f64 N 2))
(+.f64 (*.f64 -1 (pow.f64 N 3)) (+.f64 (*.f64 11/12 (pow.f64 N 4)) (pow.f64 N 2)))
(+.f64 (*.f64 -1 (pow.f64 N 3)) (+.f64 (*.f64 -5/6 (pow.f64 N 5)) (+.f64 (*.f64 11/12 (pow.f64 N 4)) (pow.f64 N 2))))
(pow.f64 (log.f64 (/.f64 1 N)) 2)
(+.f64 (*.f64 -2 (/.f64 (log.f64 (/.f64 1 N)) N)) (pow.f64 (log.f64 (/.f64 1 N)) 2))
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(*.f64 (cbrt.f64 (pow.f64 (*.f64 1/3 (-.f64 (log1p.f64 N) (log.f64 N))) 2)) (*.f64 (cbrt.f64 (*.f64 1/3 (-.f64 (log1p.f64 N) (log.f64 N)))) 3))
(*.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 (pow.f64 (cbrt.f64 (-.f64 (pow.f64 (log1p.f64 N) 2) (pow.f64 (log.f64 N) 2))) 2) (*.f64 (cbrt.f64 (-.f64 (pow.f64 (log1p.f64 N) 2) (pow.f64 (log.f64 N) 2))) (/.f64 1 (+.f64 (log1p.f64 N) (log.f64 N)))))
(*.f64 (sqrt.f64 (*.f64 1/3 (-.f64 (log1p.f64 N) (log.f64 N)))) (*.f64 (sqrt.f64 (*.f64 1/3 (-.f64 (log1p.f64 N) (log.f64 N)))) 3))
(*.f64 (sqrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))) (sqrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))))
(*.f64 (sqrt.f64 (-.f64 (pow.f64 (log1p.f64 N) 2) (pow.f64 (log.f64 N) 2))) (*.f64 (sqrt.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 (-.f64 (pow.f64 (log1p.f64 N) 2) (pow.f64 (log.f64 N) 2))) (/.f64 1 (neg.f64 (+.f64 (log1p.f64 N) (log.f64 N)))))
(*.f64 (-.f64 (pow.f64 (log1p.f64 N) 3) (pow.f64 (log.f64 N) 3)) (/.f64 1 (+.f64 (pow.f64 (log1p.f64 N) 2) (*.f64 (log.f64 N) (+.f64 (log1p.f64 N) (log.f64 N))))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 (log1p.f64 N) (log.f64 N))) 2)) (/.f64 (-.f64 (pow.f64 (log1p.f64 N) 2) (pow.f64 (log.f64 N) 2)) (cbrt.f64 (+.f64 (log1p.f64 N) (log.f64 N)))))
(*.f64 (/.f64 1 (sqrt.f64 (+.f64 (log1p.f64 N) (log.f64 N)))) (/.f64 (-.f64 (pow.f64 (log1p.f64 N) 2) (pow.f64 (log.f64 N) 2)) (sqrt.f64 (+.f64 (log1p.f64 N) (log.f64 N)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 (pow.f64 (log1p.f64 N) 2) (pow.f64 (log.f64 N) 2))) 2) 1) (/.f64 (cbrt.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 (cbrt.f64 (-.f64 (pow.f64 (log1p.f64 N) 2) (pow.f64 (log.f64 N) 2))) 2) (pow.f64 (cbrt.f64 (+.f64 (log1p.f64 N) (log.f64 N))) 2)) (cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 (pow.f64 (log1p.f64 N) 2) (pow.f64 (log.f64 N) 2))) 2) (sqrt.f64 (+.f64 (log1p.f64 N) (log.f64 N)))) (/.f64 (cbrt.f64 (-.f64 (pow.f64 (log1p.f64 N) 2) (pow.f64 (log.f64 N) 2))) (sqrt.f64 (+.f64 (log1p.f64 N) (log.f64 N)))))
(*.f64 (/.f64 (sqrt.f64 (-.f64 (pow.f64 (log1p.f64 N) 2) (pow.f64 (log.f64 N) 2))) 1) (/.f64 (sqrt.f64 (-.f64 (pow.f64 (log1p.f64 N) 2) (pow.f64 (log.f64 N) 2))) (+.f64 (log1p.f64 N) (log.f64 N))))
(*.f64 (/.f64 (sqrt.f64 (-.f64 (pow.f64 (log1p.f64 N) 2) (pow.f64 (log.f64 N) 2))) (pow.f64 (cbrt.f64 (+.f64 (log1p.f64 N) (log.f64 N))) 2)) (/.f64 (sqrt.f64 (-.f64 (pow.f64 (log1p.f64 N) 2) (pow.f64 (log.f64 N) 2))) (cbrt.f64 (+.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 (*.f64 3 (cbrt.f64 (pow.f64 (*.f64 1/3 (-.f64 (log1p.f64 N) (log.f64 N))) 2))) (cbrt.f64 (*.f64 1/3 (-.f64 (log1p.f64 N) (log.f64 N)))))
(*.f64 (*.f64 3 (sqrt.f64 (*.f64 1/3 (-.f64 (log1p.f64 N) (log.f64 N))))) (sqrt.f64 (*.f64 1/3 (-.f64 (log1p.f64 N) (log.f64 N)))))
(pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 1)
(pow.f64 (cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))) 3)
(pow.f64 (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 3) 1/3)
(pow.f64 (sqrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))) 2)
(pow.f64 (/.f64 1 (-.f64 (log1p.f64 N) (log.f64 N))) -1)
(pow.f64 (exp.f64 1) (log.f64 (-.f64 (log1p.f64 N) (log.f64 N))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (-.f64 (log1p.f64 N) (log.f64 N)))) 2)) (cbrt.f64 (log.f64 (-.f64 (log1p.f64 N) (log.f64 N)))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (-.f64 (log1p.f64 N) (log.f64 N))))) (sqrt.f64 (log.f64 (-.f64 (log1p.f64 N) (log.f64 N)))))
(neg.f64 (log.f64 (/.f64 N (+.f64 N 1))))
(neg.f64 (/.f64 (-.f64 (pow.f64 (log1p.f64 N) 2) (pow.f64 (log.f64 N) 2)) (neg.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))
(log.f64 (+.f64 1 (-.f64 (/.f64 (+.f64 N 1) N) 1)))
(cbrt.f64 (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 3))
(cbrt.f64 (/.f64 (pow.f64 (-.f64 (pow.f64 (log1p.f64 N) 2) (pow.f64 (log.f64 N) 2)) 3) (pow.f64 (+.f64 (log1p.f64 N) (log.f64 N)) 3)))
(expm1.f64 (log1p.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))
(log1p.f64 (-.f64 (/.f64 (+.f64 N 1) N) 1))
(fma.f64 1 (log1p.f64 N) (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 (sqrt.f64 (log1p.f64 N)) (sqrt.f64 (log1p.f64 N)) (neg.f64 (log.f64 N)))
Outputs
(/.f64 -1/4 (pow.f64 N 4))
(neg.f64 (+.f64 (*.f64 1/2 (/.f64 1 (pow.f64 N 2))) (*.f64 1/4 (/.f64 1 (pow.f64 N 4)))))
(neg.f64 (+.f64 (/.f64 1/2 (pow.f64 N 2)) (/.f64 1/4 (pow.f64 N 4))))
(+.f64 (/.f64 -1/2 (pow.f64 N 2)) (/.f64 -1/4 (pow.f64 N 4)))
(-.f64 (/.f64 1 N) (+.f64 (*.f64 1/2 (/.f64 1 (pow.f64 N 2))) (*.f64 1/4 (/.f64 1 (pow.f64 N 4)))))
(-.f64 (/.f64 1 N) (+.f64 (/.f64 1/2 (pow.f64 N 2)) (/.f64 1/4 (pow.f64 N 4))))
(+.f64 (-.f64 (/.f64 1 N) (/.f64 1/2 (pow.f64 N 2))) (/.f64 -1/4 (pow.f64 N 4)))
(-.f64 (/.f64 1 N) (+.f64 (*.f64 1/2 (/.f64 1 (pow.f64 N 2))) (*.f64 1/4 (/.f64 1 (pow.f64 N 4)))))
(-.f64 (/.f64 1 N) (+.f64 (/.f64 1/2 (pow.f64 N 2)) (/.f64 1/4 (pow.f64 N 4))))
(+.f64 (-.f64 (/.f64 1 N) (/.f64 1/2 (pow.f64 N 2))) (/.f64 -1/4 (pow.f64 N 4)))
(/.f64 1 N)
(-.f64 (/.f64 1 N) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (/.f64 1 N) (/.f64 1/2 (pow.f64 N 2)))
(-.f64 (/.f64 1 N) (+.f64 (*.f64 1/4 (/.f64 1 (pow.f64 N 4))) (*.f64 1/2 (/.f64 1 (pow.f64 N 2)))))
(-.f64 (/.f64 1 N) (+.f64 (/.f64 1/2 (pow.f64 N 2)) (/.f64 1/4 (pow.f64 N 4))))
(+.f64 (-.f64 (/.f64 1 N) (/.f64 1/2 (pow.f64 N 2))) (/.f64 -1/4 (pow.f64 N 4)))
(-.f64 (/.f64 1 N) (+.f64 (*.f64 1/4 (/.f64 1 (pow.f64 N 4))) (*.f64 1/2 (/.f64 1 (pow.f64 N 2)))))
(-.f64 (/.f64 1 N) (+.f64 (/.f64 1/2 (pow.f64 N 2)) (/.f64 1/4 (pow.f64 N 4))))
(+.f64 (-.f64 (/.f64 1 N) (/.f64 1/2 (pow.f64 N 2))) (/.f64 -1/4 (pow.f64 N 4)))
(/.f64 1 N)
(-.f64 (/.f64 1 N) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (/.f64 1 N) (/.f64 1/2 (pow.f64 N 2)))
(-.f64 (/.f64 1 N) (+.f64 (*.f64 1/4 (/.f64 1 (pow.f64 N 4))) (*.f64 1/2 (/.f64 1 (pow.f64 N 2)))))
(-.f64 (/.f64 1 N) (+.f64 (/.f64 1/2 (pow.f64 N 2)) (/.f64 1/4 (pow.f64 N 4))))
(+.f64 (-.f64 (/.f64 1 N) (/.f64 1/2 (pow.f64 N 2))) (/.f64 -1/4 (pow.f64 N 4)))
(-.f64 (/.f64 1 N) (+.f64 (*.f64 1/4 (/.f64 1 (pow.f64 N 4))) (*.f64 1/2 (/.f64 1 (pow.f64 N 2)))))
(-.f64 (/.f64 1 N) (+.f64 (/.f64 1/2 (pow.f64 N 2)) (/.f64 1/4 (pow.f64 N 4))))
(+.f64 (-.f64 (/.f64 1 N) (/.f64 1/2 (pow.f64 N 2))) (/.f64 -1/4 (pow.f64 N 4)))
(/.f64 1/3 N)
(-.f64 (*.f64 1/3 (/.f64 1 N)) (*.f64 1/6 (/.f64 1 (pow.f64 N 2))))
(-.f64 (/.f64 1/3 N) (/.f64 1/6 (pow.f64 N 2)))
(+.f64 (/.f64 1/3 N) (/.f64 -1/6 (pow.f64 N 2)))
(-.f64 (+.f64 (*.f64 1/9 (/.f64 1 (pow.f64 N 3))) (*.f64 1/3 (/.f64 1 N))) (*.f64 1/6 (/.f64 1 (pow.f64 N 2))))
(+.f64 (/.f64 1/9 (pow.f64 N 3)) (-.f64 (/.f64 1/3 N) (/.f64 1/6 (pow.f64 N 2))))
(+.f64 (/.f64 1/3 N) (+.f64 (/.f64 1/9 (pow.f64 N 3)) (/.f64 -1/6 (pow.f64 N 2))))
(-.f64 (+.f64 (*.f64 1/9 (/.f64 1 (pow.f64 N 3))) (*.f64 1/3 (/.f64 1 N))) (+.f64 (*.f64 1/12 (/.f64 1 (pow.f64 N 4))) (*.f64 1/6 (/.f64 1 (pow.f64 N 2)))))
(-.f64 (+.f64 (/.f64 1/3 N) (/.f64 1/9 (pow.f64 N 3))) (+.f64 (/.f64 1/6 (pow.f64 N 2)) (/.f64 1/12 (pow.f64 N 4))))
(+.f64 (-.f64 (+.f64 (/.f64 1/3 N) (/.f64 1/9 (pow.f64 N 3))) (/.f64 1/12 (pow.f64 N 4))) (/.f64 -1/6 (pow.f64 N 2)))
(log.f64 (pow.f64 (cbrt.f64 -1) 2))
(*.f64 2 (log.f64 (cbrt.f64 -1)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 -1) 2)) (*.f64 -1/3 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 5)) 1/3) (/.f64 1 N))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 -1) 2)) (*.f64 -1/3 (*.f64 (/.f64 1 N) (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 5))))))
(+.f64 (*.f64 2 (log.f64 (cbrt.f64 -1))) (*.f64 -1/3 (/.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 5))) N)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 -1) 2)) (+.f64 (*.f64 -1/3 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 5)) 1/3) (/.f64 1 N))) (*.f64 1/2 (/.f64 (+.f64 (*.f64 -2/9 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 10)) 1/3)) (*.f64 -1/9 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 10)) 1/3))) (pow.f64 N 2)))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 -1) 2)) (fma.f64 -1/3 (*.f64 (/.f64 1 N) (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 5)))) (*.f64 1/2 (/.f64 (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 10))) -1/3) (pow.f64 N 2)))))
(+.f64 (*.f64 2 (log.f64 (cbrt.f64 -1))) (fma.f64 -1/3 (/.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 5))) N) (*.f64 1/2 (/.f64 (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 10))) -1/3) (pow.f64 N 2)))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 -1) 2)) (+.f64 (*.f64 -1/3 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 5)) 1/3) (/.f64 1 N))) (+.f64 (*.f64 -1/6 (/.f64 (+.f64 (*.f64 2/27 (/.f64 1 (pow.f64 (cbrt.f64 -1) 5))) (+.f64 (*.f64 2/9 (*.f64 (pow.f64 1 1/3) (/.f64 1 (pow.f64 (cbrt.f64 -1) 5)))) (*.f64 2 (+.f64 (*.f64 -2/9 (*.f64 (pow.f64 1 1/3) (/.f64 1 (pow.f64 (cbrt.f64 -1) 2)))) (*.f64 1/27 (/.f64 1 (pow.f64 (cbrt.f64 -1) 2))))))) (pow.f64 N 3))) (*.f64 1/2 (/.f64 (+.f64 (*.f64 -2/9 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 10)) 1/3)) (*.f64 -1/9 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 10)) 1/3))) (pow.f64 N 2))))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 -1) 2)) (fma.f64 -1/3 (*.f64 (/.f64 1 N) (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 5)))) (fma.f64 -1/6 (/.f64 (fma.f64 2/9 (/.f64 1 (pow.f64 (cbrt.f64 -1) 5)) (fma.f64 2 (fma.f64 -2/9 (/.f64 1 (pow.f64 (cbrt.f64 -1) 2)) (/.f64 1/27 (pow.f64 (cbrt.f64 -1) 2))) (/.f64 2/27 (pow.f64 (cbrt.f64 -1) 5)))) (pow.f64 N 3)) (*.f64 1/2 (/.f64 (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 10))) -1/3) (pow.f64 N 2))))))
(+.f64 (*.f64 2 (log.f64 (cbrt.f64 -1))) (fma.f64 -1/3 (/.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 5))) N) (fma.f64 -1/6 (/.f64 (+.f64 (*.f64 2 (*.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 2)) -5/27)) (*.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 5)) 8/27)) (pow.f64 N 3)) (*.f64 1/2 (/.f64 (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 10))) -1/3) (pow.f64 N 2))))))
(/.f64 1 N)
(-.f64 (/.f64 1 N) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (/.f64 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 (/.f64 1 N) (/.f64 1/3 (pow.f64 N 3))) (/.f64 1/2 (pow.f64 N 2)))
(+.f64 (/.f64 1 N) (+.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 -1/2 (pow.f64 N 2))))
(-.f64 (+.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 1/3 (pow.f64 N 3)) (+.f64 (-.f64 (/.f64 1 N) (/.f64 1/2 (pow.f64 N 2))) (/.f64 -1/4 (pow.f64 N 4))))
(*.f64 3 (log.f64 (pow.f64 (cbrt.f64 -1) 2)))
(*.f64 3 (*.f64 2 (log.f64 (cbrt.f64 -1))))
(+.f64 (*.f64 -1 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 5)) 1/3) (/.f64 1 N))) (*.f64 3 (log.f64 (pow.f64 (cbrt.f64 -1) 2))))
(fma.f64 -1 (*.f64 (/.f64 1 N) (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 5)))) (*.f64 3 (log.f64 (pow.f64 (cbrt.f64 -1) 2))))
(-.f64 (*.f64 3 (*.f64 2 (log.f64 (cbrt.f64 -1)))) (/.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 5))) N))
(+.f64 (*.f64 -1 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 5)) 1/3) (/.f64 1 N))) (+.f64 (*.f64 3/2 (/.f64 (+.f64 (*.f64 -2/9 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 10)) 1/3)) (*.f64 -1/9 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 10)) 1/3))) (pow.f64 N 2))) (*.f64 3 (log.f64 (pow.f64 (cbrt.f64 -1) 2)))))
(fma.f64 -1 (*.f64 (/.f64 1 N) (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 5)))) (fma.f64 3/2 (/.f64 (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 10))) -1/3) (pow.f64 N 2)) (*.f64 3 (log.f64 (pow.f64 (cbrt.f64 -1) 2)))))
(-.f64 (fma.f64 3/2 (/.f64 (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 10))) -1/3) (pow.f64 N 2)) (*.f64 3 (*.f64 2 (log.f64 (cbrt.f64 -1))))) (/.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 5))) N))
(+.f64 (*.f64 -1 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 5)) 1/3) (/.f64 1 N))) (+.f64 (*.f64 -1/2 (/.f64 (+.f64 (*.f64 2/9 (*.f64 (pow.f64 1 1/3) (/.f64 1 (pow.f64 (cbrt.f64 -1) 5)))) (+.f64 (*.f64 2 (+.f64 (*.f64 -2/9 (*.f64 (pow.f64 1 1/3) (/.f64 1 (pow.f64 (cbrt.f64 -1) 2)))) (*.f64 1/27 (/.f64 1 (pow.f64 (cbrt.f64 -1) 2))))) (*.f64 2/27 (/.f64 1 (pow.f64 (cbrt.f64 -1) 5))))) (pow.f64 N 3))) (+.f64 (*.f64 3/2 (/.f64 (+.f64 (*.f64 -2/9 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 10)) 1/3)) (*.f64 -1/9 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 10)) 1/3))) (pow.f64 N 2))) (*.f64 3 (log.f64 (pow.f64 (cbrt.f64 -1) 2))))))
(fma.f64 -1 (*.f64 (/.f64 1 N) (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 5)))) (fma.f64 -1/2 (/.f64 (fma.f64 2/9 (/.f64 1 (pow.f64 (cbrt.f64 -1) 5)) (fma.f64 2 (fma.f64 -2/9 (/.f64 1 (pow.f64 (cbrt.f64 -1) 2)) (/.f64 1/27 (pow.f64 (cbrt.f64 -1) 2))) (/.f64 2/27 (pow.f64 (cbrt.f64 -1) 5)))) (pow.f64 N 3)) (fma.f64 3/2 (/.f64 (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 10))) -1/3) (pow.f64 N 2)) (*.f64 3 (log.f64 (pow.f64 (cbrt.f64 -1) 2))))))
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(-.f64 (/.f64 (pow.f64 (log1p.f64 N) 3) (+.f64 (pow.f64 (log1p.f64 N) 2) (*.f64 (log.f64 N) (+.f64 (log1p.f64 N) (log.f64 N))))) (/.f64 (pow.f64 (log.f64 N) 3) (+.f64 (pow.f64 (log1p.f64 N) 2) (*.f64 (log.f64 N) (+.f64 (log1p.f64 N) (log.f64 N))))))
(/.f64 (-.f64 (pow.f64 (log1p.f64 N) 3) (pow.f64 (log.f64 N) 3)) (+.f64 (pow.f64 (log1p.f64 N) 2) (*.f64 (log.f64 N) (+.f64 (log.f64 N) (log1p.f64 N)))))
(*.f64 3 (*.f64 1/3 (-.f64 (log1p.f64 N) (log.f64 N))))
(-.f64 (log1p.f64 N) (log.f64 N))
(*.f64 1 (-.f64 (log1p.f64 N) (log.f64 N)))
(-.f64 (log1p.f64 N) (log.f64 N))
(*.f64 (*.f64 1/3 (-.f64 (log1p.f64 N) (log.f64 N))) 3)
(-.f64 (log1p.f64 N) (log.f64 N))
(*.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 (log.f64 N) (log1p.f64 N)))
(*.f64 (cbrt.f64 (pow.f64 (*.f64 1/3 (-.f64 (log1p.f64 N) (log.f64 N))) 2)) (*.f64 (cbrt.f64 (*.f64 1/3 (-.f64 (log1p.f64 N) (log.f64 N)))) 3))
(*.f64 (cbrt.f64 (pow.f64 (*.f64 1/3 (-.f64 (log1p.f64 N) (log.f64 N))) 2)) (*.f64 3 (cbrt.f64 (*.f64 1/3 (-.f64 (log1p.f64 N) (log.f64 N))))))
(*.f64 (cbrt.f64 (*.f64 1/9 (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 2))) (*.f64 3 (cbrt.f64 (*.f64 1/3 (-.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 (pow.f64 (cbrt.f64 (-.f64 (pow.f64 (log1p.f64 N) 2) (pow.f64 (log.f64 N) 2))) 2) (*.f64 (cbrt.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 (log.f64 N) (log1p.f64 N)))
(*.f64 (sqrt.f64 (*.f64 1/3 (-.f64 (log1p.f64 N) (log.f64 N)))) (*.f64 (sqrt.f64 (*.f64 1/3 (-.f64 (log1p.f64 N) (log.f64 N)))) 3))
(-.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 (sqrt.f64 (-.f64 (pow.f64 (log1p.f64 N) 2) (pow.f64 (log.f64 N) 2))) (*.f64 (sqrt.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 (log.f64 N) (log1p.f64 N)))
(*.f64 (neg.f64 (-.f64 (pow.f64 (log1p.f64 N) 2) (pow.f64 (log.f64 N) 2))) (/.f64 1 (neg.f64 (+.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 (-.f64 (pow.f64 (log1p.f64 N) 3) (pow.f64 (log.f64 N) 3)) (/.f64 1 (+.f64 (pow.f64 (log1p.f64 N) 2) (*.f64 (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 (pow.f64 (log1p.f64 N) 2) (*.f64 (log.f64 N) (+.f64 (log.f64 N) (log1p.f64 N)))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 (log1p.f64 N) (log.f64 N))) 2)) (/.f64 (-.f64 (pow.f64 (log1p.f64 N) 2) (pow.f64 (log.f64 N) 2)) (cbrt.f64 (+.f64 (log1p.f64 N) (log.f64 N)))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 (log.f64 N) (log1p.f64 N))) 2)) (/.f64 (-.f64 (pow.f64 (log1p.f64 N) 2) (pow.f64 (log.f64 N) 2)) (cbrt.f64 (+.f64 (log.f64 N) (log1p.f64 N)))))
(/.f64 (/.f64 (-.f64 (pow.f64 (log1p.f64 N) 2) (pow.f64 (log.f64 N) 2)) (cbrt.f64 (+.f64 (log.f64 N) (log1p.f64 N)))) (pow.f64 (cbrt.f64 (+.f64 (log.f64 N) (log1p.f64 N))) 2))
(*.f64 (/.f64 1 (sqrt.f64 (+.f64 (log1p.f64 N) (log.f64 N)))) (/.f64 (-.f64 (pow.f64 (log1p.f64 N) 2) (pow.f64 (log.f64 N) 2)) (sqrt.f64 (+.f64 (log1p.f64 N) (log.f64 N)))))
(*.f64 (/.f64 1 (sqrt.f64 (+.f64 (log.f64 N) (log1p.f64 N)))) (/.f64 (-.f64 (pow.f64 (log1p.f64 N) 2) (pow.f64 (log.f64 N) 2)) (sqrt.f64 (+.f64 (log.f64 N) (log1p.f64 N)))))
(/.f64 (/.f64 (-.f64 (pow.f64 (log1p.f64 N) 2) (pow.f64 (log.f64 N) 2)) (sqrt.f64 (+.f64 (log.f64 N) (log1p.f64 N)))) (sqrt.f64 (+.f64 (log.f64 N) (log1p.f64 N))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 (pow.f64 (log1p.f64 N) 2) (pow.f64 (log.f64 N) 2))) 2) 1) (/.f64 (cbrt.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 (/.f64 (pow.f64 (cbrt.f64 (-.f64 (pow.f64 (log1p.f64 N) 2) (pow.f64 (log.f64 N) 2))) 2) (pow.f64 (cbrt.f64 (+.f64 (log1p.f64 N) (log.f64 N))) 2)) (cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))))
(*.f64 (cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))) (/.f64 (pow.f64 (cbrt.f64 (-.f64 (pow.f64 (log1p.f64 N) 2) (pow.f64 (log.f64 N) 2))) 2) (pow.f64 (cbrt.f64 (+.f64 (log.f64 N) (log1p.f64 N))) 2)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 (pow.f64 (log1p.f64 N) 2) (pow.f64 (log.f64 N) 2))) 2) (sqrt.f64 (+.f64 (log1p.f64 N) (log.f64 N)))) (/.f64 (cbrt.f64 (-.f64 (pow.f64 (log1p.f64 N) 2) (pow.f64 (log.f64 N) 2))) (sqrt.f64 (+.f64 (log1p.f64 N) (log.f64 N)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 (pow.f64 (log1p.f64 N) 2) (pow.f64 (log.f64 N) 2))) 2) (sqrt.f64 (+.f64 (log.f64 N) (log1p.f64 N)))) (/.f64 (cbrt.f64 (-.f64 (pow.f64 (log1p.f64 N) 2) (pow.f64 (log.f64 N) 2))) (sqrt.f64 (+.f64 (log.f64 N) (log1p.f64 N)))))
(*.f64 (/.f64 (sqrt.f64 (-.f64 (pow.f64 (log1p.f64 N) 2) (pow.f64 (log.f64 N) 2))) 1) (/.f64 (sqrt.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 (/.f64 (sqrt.f64 (-.f64 (pow.f64 (log1p.f64 N) 2) (pow.f64 (log.f64 N) 2))) (pow.f64 (cbrt.f64 (+.f64 (log1p.f64 N) (log.f64 N))) 2)) (/.f64 (sqrt.f64 (-.f64 (pow.f64 (log1p.f64 N) 2) (pow.f64 (log.f64 N) 2))) (cbrt.f64 (+.f64 (log1p.f64 N) (log.f64 N)))))
(/.f64 (*.f64 (sqrt.f64 (-.f64 (pow.f64 (log1p.f64 N) 2) (pow.f64 (log.f64 N) 2))) (/.f64 (sqrt.f64 (-.f64 (pow.f64 (log1p.f64 N) 2) (pow.f64 (log.f64 N) 2))) (cbrt.f64 (+.f64 (log.f64 N) (log1p.f64 N))))) (pow.f64 (cbrt.f64 (+.f64 (log.f64 N) (log1p.f64 N))) 2))
(*.f64 (/.f64 (sqrt.f64 (-.f64 (pow.f64 (log1p.f64 N) 2) (pow.f64 (log.f64 N) 2))) (pow.f64 (cbrt.f64 (+.f64 (log.f64 N) (log1p.f64 N))) 2)) (/.f64 (sqrt.f64 (-.f64 (pow.f64 (log1p.f64 N) 2) (pow.f64 (log.f64 N) 2))) (cbrt.f64 (+.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 (+.f64 (sqrt.f64 (log.f64 N)) (sqrt.f64 (log1p.f64 N))) (-.f64 (sqrt.f64 (log1p.f64 N)) (sqrt.f64 (log.f64 N))))
(*.f64 (*.f64 3 (cbrt.f64 (pow.f64 (*.f64 1/3 (-.f64 (log1p.f64 N) (log.f64 N))) 2))) (cbrt.f64 (*.f64 1/3 (-.f64 (log1p.f64 N) (log.f64 N)))))
(*.f64 3 (*.f64 (cbrt.f64 (*.f64 1/3 (-.f64 (log1p.f64 N) (log.f64 N)))) (cbrt.f64 (pow.f64 (*.f64 1/3 (-.f64 (log1p.f64 N) (log.f64 N))) 2))))
(*.f64 3 (*.f64 (cbrt.f64 (*.f64 1/3 (-.f64 (log1p.f64 N) (log.f64 N)))) (cbrt.f64 (*.f64 1/9 (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 2)))))
(*.f64 (*.f64 3 (sqrt.f64 (*.f64 1/3 (-.f64 (log1p.f64 N) (log.f64 N))))) (sqrt.f64 (*.f64 1/3 (-.f64 (log1p.f64 N) (log.f64 N)))))
(-.f64 (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))
(pow.f64 (/.f64 1 (-.f64 (log1p.f64 N) (log.f64 N))) -1)
(-.f64 (log1p.f64 N) (log.f64 N))
(pow.f64 (exp.f64 1) (log.f64 (-.f64 (log1p.f64 N) (log.f64 N))))
(-.f64 (log1p.f64 N) (log.f64 N))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (-.f64 (log1p.f64 N) (log.f64 N)))) 2)) (cbrt.f64 (log.f64 (-.f64 (log1p.f64 N) (log.f64 N)))))
(-.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)))))
(-.f64 (log1p.f64 N) (log.f64 N))
(neg.f64 (log.f64 (/.f64 N (+.f64 N 1))))
(neg.f64 (-.f64 (log.f64 N) (log1p.f64 N)))
(neg.f64 (/.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 (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))
(log.f64 (+.f64 (/.f64 (+.f64 N 1) N) 0))
(cbrt.f64 (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 3))
(-.f64 (log1p.f64 N) (log.f64 N))
(cbrt.f64 (/.f64 (pow.f64 (-.f64 (pow.f64 (log1p.f64 N) 2) (pow.f64 (log.f64 N) 2)) 3) (pow.f64 (+.f64 (log1p.f64 N) (log.f64 N)) 3)))
(cbrt.f64 (/.f64 (pow.f64 (-.f64 (pow.f64 (log1p.f64 N) 2) (pow.f64 (log.f64 N) 2)) 3) (pow.f64 (+.f64 (log.f64 N) (log1p.f64 N)) 3)))
(expm1.f64 (log1p.f64 (-.f64 (log1p.f64 N) (log.f64 N))))
(-.f64 (log1p.f64 N) (log.f64 N))
(exp.f64 (log.f64 (-.f64 (log1p.f64 N) (log.f64 N))))
(-.f64 (log1p.f64 N) (log.f64 N))
(exp.f64 (*.f64 (log.f64 (-.f64 (log1p.f64 N) (log.f64 N))) 1))
(-.f64 (log1p.f64 N) (log.f64 N))
(log1p.f64 (-.f64 (/.f64 (+.f64 N 1) N) 1))
(log1p.f64 (+.f64 (/.f64 (+.f64 N 1) N) -1))
(log.f64 (+.f64 (/.f64 (+.f64 N 1) N) 0))
(fma.f64 1 (log1p.f64 N) (neg.f64 (log.f64 N)))
(-.f64 (log1p.f64 N) (log.f64 N))
(fma.f64 (pow.f64 (cbrt.f64 (log1p.f64 N)) 2) (cbrt.f64 (log1p.f64 N)) (neg.f64 (log.f64 N)))
(-.f64 (log1p.f64 N) (log.f64 N))
(fma.f64 (sqrt.f64 (log1p.f64 N)) (sqrt.f64 (log1p.f64 N)) (neg.f64 (log.f64 N)))
(-.f64 (log1p.f64 N) (log.f64 N))

eval757.0ms (7.3%)

Compiler

Compiled 26652 to 17690 computations (33.6% saved)

prune289.0ms (2.8%)

Pruning

39 alts after pruning (35 fresh and 4 done)

PrunedKeptTotal
New1006281034
Fresh6713
Picked145
Done101
Total1014391053
Accuracy
99.7%
Counts
1053 → 39
Alt Table
Click to see full alt table
StatusAccuracyProgram
23.6%
(fma.f64 (pow.f64 (cbrt.f64 (log1p.f64 N)) 2) (cbrt.f64 (log1p.f64 N)) (neg.f64 (log.f64 N)))
24.3%
(fma.f64 (sqrt.f64 (log1p.f64 N)) (sqrt.f64 (log1p.f64 N)) (neg.f64 (log.f64 N)))
84.9%
(/.f64 (/.f64 (neg.f64 (*.f64 -2 (log.f64 N))) N) (+.f64 (log1p.f64 N) (log.f64 N)))
23.2%
(/.f64 (-.f64 (pow.f64 (log1p.f64 N) 2) (pow.f64 (log.f64 N) 2)) (+.f64 (log1p.f64 N) (log.f64 N)))
23.2%
(/.f64 (log.f64 (exp.f64 (-.f64 (pow.f64 (log1p.f64 N) 2) (pow.f64 (log.f64 N) 2)))) (+.f64 (log1p.f64 N) (log.f64 N)))
85.1%
(/.f64 1 N)
93.4%
(-.f64 (/.f64 1 N) (/.f64 1/2 (pow.f64 N 2)))
96.1%
(-.f64 (+.f64 (/.f64 1 N) (/.f64 1/3 (pow.f64 N 3))) (/.f64 1/2 (pow.f64 N 2)))
96.1%
(+.f64 (/.f64 1 N) (+.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 -1/2 (pow.f64 N 2))))
96.8%
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (pow.f64 (sqrt.f64 (-.f64 (/.f64 1 N) (fma.f64 1/4 (pow.f64 N -4) (*.f64 1/2 (pow.f64 N -2))))) 2))
97.0%
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 (-.f64 (pow.f64 N 6) (*.f64 N (fma.f64 1/2 (pow.f64 N 4) (*.f64 (pow.f64 N 2) 1/4)))) (pow.f64 N 7)))
97.1%
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 (-.f64 (-.f64 (*.f64 1/2 (pow.f64 N -2)) (*.f64 1/4 (pow.f64 N -4))) (*.f64 N (-.f64 (*.f64 1/4 (pow.f64 N -4)) (/.f64 1/16 (pow.f64 N 8))))) (*.f64 N (-.f64 (*.f64 1/2 (pow.f64 N -2)) (*.f64 1/4 (pow.f64 N -4))))))
97.4%
(+.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)))))
97.4%
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (+.f64 (-.f64 (/.f64 1 N) (/.f64 1/2 (pow.f64 N 2))) (/.f64 -1/4 (pow.f64 N 4))))
26.0%
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (log.f64 (exp.f64 (-.f64 (/.f64 1 N) (fma.f64 1/4 (pow.f64 N -4) (*.f64 1/2 (pow.f64 N -2)))))))
92.8%
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (exp.f64 (log.f64 (-.f64 (/.f64 1 N) (fma.f64 1/4 (pow.f64 N -4) (*.f64 1/2 (pow.f64 N -2)))))))
93.3%
(+.f64 (*.f64 -1/2 (/.f64 (+.f64 1 (log.f64 (/.f64 1 N))) (*.f64 (pow.f64 N 2) (log.f64 (/.f64 1 N))))) (+.f64 (/.f64 1/2 (*.f64 (pow.f64 N 2) (log.f64 (/.f64 1 N)))) (/.f64 1 N)))
22.4%
(*.f64 (+.f64 (sqrt.f64 (log1p.f64 N)) (sqrt.f64 (log.f64 N))) (-.f64 (sqrt.f64 (log1p.f64 N)) (sqrt.f64 (log.f64 N))))
84.8%
(*.f64 3 (/.f64 1/3 N))
93.0%
(*.f64 3 (-.f64 (/.f64 1/3 N) (/.f64 1/6 (pow.f64 N 2))))
97.0%
(*.f64 3 (-.f64 (+.f64 (/.f64 1/3 N) (/.f64 1/9 (pow.f64 N 3))) (+.f64 (/.f64 1/6 (pow.f64 N 2)) (/.f64 1/12 (pow.f64 N 4)))))
95.8%
(*.f64 3 (-.f64 (+.f64 (*.f64 1/9 (/.f64 1 (pow.f64 N 3))) (*.f64 1/3 (/.f64 1 N))) (*.f64 1/6 (/.f64 1 (pow.f64 N 2)))))
23.3%
(*.f64 3 (-.f64 (exp.f64 (log1p.f64 (*.f64 1/3 (-.f64 (log1p.f64 N) (log.f64 N))))) 1))
95.7%
(*.f64 3 (+.f64 (/.f64 1/3 N) (+.f64 (/.f64 1/9 (pow.f64 N 3)) (/.f64 -1/6 (pow.f64 N 2)))))
95.8%
(*.f64 3 (+.f64 (/.f64 1/9 (pow.f64 N 3)) (-.f64 (/.f64 1/3 N) (/.f64 1/6 (pow.f64 N 2)))))
24.6%
(*.f64 3 (log.f64 (pow.f64 (/.f64 (+.f64 N 1) N) 1/3)))
24.1%
(*.f64 3 (log.f64 (cbrt.f64 (/.f64 (+.f64 N 1) N))))
24.9%
(*.f64 2 (log.f64 (sqrt.f64 (/.f64 (+.f64 N 1) N))))
26.1%
(neg.f64 (log.f64 (/.f64 N (+.f64 N 1))))
25.7%
(log.f64 (/.f64 (+.f64 N 1) N))
92.8%
(exp.f64 (-.f64 (+.f64 (neg.f64 (log.f64 N)) (/.f64 5/24 (pow.f64 N 2))) (+.f64 (/.f64 1/2 N) (/.f64 1/8 (pow.f64 N 3)))))
89.2%
(exp.f64 (-.f64 (neg.f64 (log.f64 N)) (/.f64 1/2 N)))
89.3%
(exp.f64 (-.f64 (log.f64 (/.f64 1 N)) (*.f64 1/2 (/.f64 1 N))))
23.2%
(exp.f64 (-.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)))))
91.8%
(exp.f64 (+.f64 (-.f64 (/.f64 5/24 (pow.f64 N 2)) (log.f64 N)) (/.f64 -1/2 N)))
92.8%
(exp.f64 (+.f64 (-.f64 (-.f64 (/.f64 5/24 (pow.f64 N 2)) (log.f64 N)) (/.f64 1/8 (pow.f64 N 3))) (/.f64 -1/2 N)))
91.8%
(exp.f64 (+.f64 (neg.f64 (log.f64 N)) (-.f64 (/.f64 5/24 (pow.f64 N 2)) (/.f64 1/2 N))))
23.1%
(exp.f64 (log.f64 (fma.f64 (pow.f64 (cbrt.f64 (log1p.f64 N)) 2) (cbrt.f64 (log1p.f64 N)) (neg.f64 (log.f64 N)))))
25.7%
(exp.f64 (log.f64 (log.f64 (/.f64 (+.f64 N 1) N))))
23.6%
(fma.f64 (pow.f64 (cbrt.f64 (log1p.f64 N)) 2) (cbrt.f64 (log1p.f64 N)) (neg.f64 (log.f64 N)))
24.3%
(fma.f64 (sqrt.f64 (log1p.f64 N)) (sqrt.f64 (log1p.f64 N)) (neg.f64 (log.f64 N)))
84.9%
(/.f64 (/.f64 (neg.f64 (*.f64 -2 (log.f64 N))) N) (+.f64 (log1p.f64 N) (log.f64 N)))
23.2%
(/.f64 (-.f64 (pow.f64 (log1p.f64 N) 2) (pow.f64 (log.f64 N) 2)) (+.f64 (log1p.f64 N) (log.f64 N)))
23.2%
(/.f64 (log.f64 (exp.f64 (-.f64 (pow.f64 (log1p.f64 N) 2) (pow.f64 (log.f64 N) 2)))) (+.f64 (log1p.f64 N) (log.f64 N)))
85.1%
(/.f64 1 N)
93.4%
(-.f64 (/.f64 1 N) (/.f64 1/2 (pow.f64 N 2)))
96.1%
(-.f64 (+.f64 (/.f64 1 N) (/.f64 1/3 (pow.f64 N 3))) (/.f64 1/2 (pow.f64 N 2)))
96.1%
(+.f64 (/.f64 1 N) (+.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 -1/2 (pow.f64 N 2))))
96.8%
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (pow.f64 (sqrt.f64 (-.f64 (/.f64 1 N) (fma.f64 1/4 (pow.f64 N -4) (*.f64 1/2 (pow.f64 N -2))))) 2))
97.0%
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 (-.f64 (pow.f64 N 6) (*.f64 N (fma.f64 1/2 (pow.f64 N 4) (*.f64 (pow.f64 N 2) 1/4)))) (pow.f64 N 7)))
97.1%
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 (-.f64 (-.f64 (*.f64 1/2 (pow.f64 N -2)) (*.f64 1/4 (pow.f64 N -4))) (*.f64 N (-.f64 (*.f64 1/4 (pow.f64 N -4)) (/.f64 1/16 (pow.f64 N 8))))) (*.f64 N (-.f64 (*.f64 1/2 (pow.f64 N -2)) (*.f64 1/4 (pow.f64 N -4))))))
97.4%
(+.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)))))
97.4%
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (+.f64 (-.f64 (/.f64 1 N) (/.f64 1/2 (pow.f64 N 2))) (/.f64 -1/4 (pow.f64 N 4))))
26.0%
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (log.f64 (exp.f64 (-.f64 (/.f64 1 N) (fma.f64 1/4 (pow.f64 N -4) (*.f64 1/2 (pow.f64 N -2)))))))
92.8%
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (exp.f64 (log.f64 (-.f64 (/.f64 1 N) (fma.f64 1/4 (pow.f64 N -4) (*.f64 1/2 (pow.f64 N -2)))))))
93.3%
(+.f64 (*.f64 -1/2 (/.f64 (+.f64 1 (log.f64 (/.f64 1 N))) (*.f64 (pow.f64 N 2) (log.f64 (/.f64 1 N))))) (+.f64 (/.f64 1/2 (*.f64 (pow.f64 N 2) (log.f64 (/.f64 1 N)))) (/.f64 1 N)))
22.4%
(*.f64 (+.f64 (sqrt.f64 (log1p.f64 N)) (sqrt.f64 (log.f64 N))) (-.f64 (sqrt.f64 (log1p.f64 N)) (sqrt.f64 (log.f64 N))))
84.8%
(*.f64 3 (/.f64 1/3 N))
93.0%
(*.f64 3 (-.f64 (/.f64 1/3 N) (/.f64 1/6 (pow.f64 N 2))))
97.0%
(*.f64 3 (-.f64 (+.f64 (/.f64 1/3 N) (/.f64 1/9 (pow.f64 N 3))) (+.f64 (/.f64 1/6 (pow.f64 N 2)) (/.f64 1/12 (pow.f64 N 4)))))
95.8%
(*.f64 3 (-.f64 (+.f64 (*.f64 1/9 (/.f64 1 (pow.f64 N 3))) (*.f64 1/3 (/.f64 1 N))) (*.f64 1/6 (/.f64 1 (pow.f64 N 2)))))
23.3%
(*.f64 3 (-.f64 (exp.f64 (log1p.f64 (*.f64 1/3 (-.f64 (log1p.f64 N) (log.f64 N))))) 1))
95.7%
(*.f64 3 (+.f64 (/.f64 1/3 N) (+.f64 (/.f64 1/9 (pow.f64 N 3)) (/.f64 -1/6 (pow.f64 N 2)))))
95.8%
(*.f64 3 (+.f64 (/.f64 1/9 (pow.f64 N 3)) (-.f64 (/.f64 1/3 N) (/.f64 1/6 (pow.f64 N 2)))))
24.6%
(*.f64 3 (log.f64 (pow.f64 (/.f64 (+.f64 N 1) N) 1/3)))
24.1%
(*.f64 3 (log.f64 (cbrt.f64 (/.f64 (+.f64 N 1) N))))
24.9%
(*.f64 2 (log.f64 (sqrt.f64 (/.f64 (+.f64 N 1) N))))
26.1%
(neg.f64 (log.f64 (/.f64 N (+.f64 N 1))))
25.7%
(log.f64 (/.f64 (+.f64 N 1) N))
92.8%
(exp.f64 (-.f64 (+.f64 (neg.f64 (log.f64 N)) (/.f64 5/24 (pow.f64 N 2))) (+.f64 (/.f64 1/2 N) (/.f64 1/8 (pow.f64 N 3)))))
89.2%
(exp.f64 (-.f64 (neg.f64 (log.f64 N)) (/.f64 1/2 N)))
89.3%
(exp.f64 (-.f64 (log.f64 (/.f64 1 N)) (*.f64 1/2 (/.f64 1 N))))
23.2%
(exp.f64 (-.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)))))
91.8%
(exp.f64 (+.f64 (-.f64 (/.f64 5/24 (pow.f64 N 2)) (log.f64 N)) (/.f64 -1/2 N)))
92.8%
(exp.f64 (+.f64 (-.f64 (-.f64 (/.f64 5/24 (pow.f64 N 2)) (log.f64 N)) (/.f64 1/8 (pow.f64 N 3))) (/.f64 -1/2 N)))
91.8%
(exp.f64 (+.f64 (neg.f64 (log.f64 N)) (-.f64 (/.f64 5/24 (pow.f64 N 2)) (/.f64 1/2 N))))
23.1%
(exp.f64 (log.f64 (fma.f64 (pow.f64 (cbrt.f64 (log1p.f64 N)) 2) (cbrt.f64 (log1p.f64 N)) (neg.f64 (log.f64 N)))))
25.7%
(exp.f64 (log.f64 (log.f64 (/.f64 (+.f64 N 1) N))))
Compiler

Compiled 2496 to 1946 computations (22% saved)

localize531.0ms (5.1%)

Localize:

Found 17 expressions with local error:

NewAccuracyProgram
99.9%
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (exp.f64 (log.f64 (-.f64 (/.f64 1 N) (fma.f64 1/4 (pow.f64 N -4) (*.f64 1/2 (pow.f64 N -2)))))))
99.8%
(-.f64 (/.f64 1 N) (fma.f64 1/4 (pow.f64 N -4) (*.f64 1/2 (pow.f64 N -2))))
99.4%
(/.f64 1/3 (pow.f64 N 3))
95.2%
(exp.f64 (log.f64 (-.f64 (/.f64 1 N) (fma.f64 1/4 (pow.f64 N -4) (*.f64 1/2 (pow.f64 N -2))))))
100.0%
(log1p.f64 N)
99.9%
(+.f64 (log1p.f64 N) (log.f64 N))
99.6%
(/.f64 (neg.f64 (*.f64 -2 (log.f64 N))) N)
99.5%
(/.f64 (/.f64 (neg.f64 (*.f64 -2 (log.f64 N))) N) (+.f64 (log1p.f64 N) (log.f64 N)))
100.0%
(log.f64 (/.f64 1 N))
99.9%
(-.f64 (log.f64 (/.f64 1 N)) (*.f64 1/2 (/.f64 1 N)))
95.3%
(exp.f64 (-.f64 (log.f64 (/.f64 1 N)) (*.f64 1/2 (/.f64 1 N))))
99.6%
(*.f64 3 (/.f64 1/3 N))
99.5%
(/.f64 1/3 N)
99.8%
(-.f64 (/.f64 1 N) (/.f64 1/2 (pow.f64 N 2)))
99.6%
(/.f64 1/2 (pow.f64 N 2))
99.5%
(/.f64 -1/4 (pow.f64 N 4))
99.4%
(/.f64 1/3 (pow.f64 N 3))
Compiler

Compiled 276 to 204 computations (26.1% saved)

series35.0ms (0.3%)

Counts
13 → 121
Calls

39 calls:

TimeVariablePointExpression
8.0ms
N
@inf
(/.f64 (neg.f64 (*.f64 -2 (log.f64 N))) N)
5.0ms
N
@-inf
(-.f64 (log.f64 (/.f64 1 N)) (*.f64 1/2 (/.f64 1 N)))
5.0ms
N
@-inf
(log.f64 (/.f64 1 N))
4.0ms
N
@-inf
(/.f64 (neg.f64 (*.f64 -2 (log.f64 N))) N)
2.0ms
N
@-inf
(/.f64 (/.f64 (neg.f64 (*.f64 -2 (log.f64 N))) N) (+.f64 (log1p.f64 N) (log.f64 N)))

rewrite159.0ms (1.5%)

Algorithm
batch-egg-rewrite
Rules
308×log1p-expm1-u
308×expm1-log1p-u
297×add-exp-log
290×add-log-exp
289×pow1
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
046393
1730345
Stop Event
node limit
Counts
13 → 429
Calls
Call 1
Inputs
(/.f64 -1/4 (pow.f64 N 4))
(-.f64 (/.f64 1 N) (/.f64 1/2 (pow.f64 N 2)))
(/.f64 1/3 N)
(*.f64 3 (/.f64 1/3 N))
(exp.f64 (-.f64 (log.f64 (/.f64 1 N)) (*.f64 1/2 (/.f64 1 N))))
(-.f64 (log.f64 (/.f64 1 N)) (*.f64 1/2 (/.f64 1 N)))
(log.f64 (/.f64 1 N))
(/.f64 (/.f64 (neg.f64 (*.f64 -2 (log.f64 N))) N) (+.f64 (log1p.f64 N) (log.f64 N)))
(/.f64 (neg.f64 (*.f64 -2 (log.f64 N))) N)
(+.f64 (log1p.f64 N) (log.f64 N))
(exp.f64 (log.f64 (-.f64 (/.f64 1 N) (fma.f64 1/4 (pow.f64 N -4) (*.f64 1/2 (pow.f64 N -2))))))
(-.f64 (/.f64 1 N) (fma.f64 1/4 (pow.f64 N -4) (*.f64 1/2 (pow.f64 N -2))))
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (exp.f64 (log.f64 (-.f64 (/.f64 1 N) (fma.f64 1/4 (pow.f64 N -4) (*.f64 1/2 (pow.f64 N -2)))))))
Outputs
(-.f64 (exp.f64 (log1p.f64 (*.f64 -1/4 (pow.f64 N 4)))) 1)
(*.f64 -1/4 (pow.f64 N 4))
(*.f64 1 (*.f64 -1/4 (pow.f64 N 4)))
(*.f64 (cbrt.f64 (/.f64 1/16 (pow.f64 N 8))) (cbrt.f64 (*.f64 -1/4 (pow.f64 N 4))))
(*.f64 (*.f64 (sqrt.f64 -1/4) (pow.f64 N 2)) (*.f64 (sqrt.f64 -1/4) (pow.f64 N 2)))
(pow.f64 (*.f64 -1/4 (pow.f64 N 4)) 1)
(pow.f64 (cbrt.f64 (*.f64 -1/4 (pow.f64 N 4))) 3)
(pow.f64 (pow.f64 (*.f64 -1/4 (pow.f64 N 4)) 3) 1/3)
(pow.f64 (*.f64 (sqrt.f64 -1/4) (pow.f64 N 2)) 2)
(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))))
(exp.f64 (log.f64 (*.f64 -1/4 (pow.f64 N 4))))
(exp.f64 (*.f64 (log.f64 (*.f64 -1/4 (pow.f64 N 4))) 1))
(log1p.f64 (expm1.f64 (*.f64 -1/4 (pow.f64 N 4))))
(+.f64 N (neg.f64 (*.f64 1/2 (pow.f64 N 2))))
(+.f64 (-.f64 N (*.f64 1/2 (pow.f64 N 2))) (fma.f64 (neg.f64 (pow.f64 N 2)) 1/2 (*.f64 1/2 (pow.f64 N 2))))
(+.f64 (-.f64 N (*.f64 1/2 (pow.f64 N 2))) (fma.f64 (neg.f64 (*.f64 N (sqrt.f64 1/2))) (*.f64 N (sqrt.f64 1/2)) (*.f64 1/2 (pow.f64 N 2))))
(+.f64 (fma.f64 1 N (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 N (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 (*.f64 1/3 N) 3 (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 (*.f64 1/3 N) 3 (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 3 (*.f64 1/3 N) (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 3 (*.f64 1/3 N) (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 N) 2) (cbrt.f64 N) (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 N) 2) (cbrt.f64 N) (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 N) (sqrt.f64 N) (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 N) (sqrt.f64 N) (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 1 (-.f64 N (*.f64 1/2 (pow.f64 N 2))))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 N (*.f64 1/2 (pow.f64 N 2)))) 2) (cbrt.f64 (-.f64 N (*.f64 1/2 (pow.f64 N 2)))))
(*.f64 (sqrt.f64 (-.f64 N (*.f64 1/2 (pow.f64 N 2)))) (sqrt.f64 (-.f64 N (*.f64 1/2 (pow.f64 N 2)))))
(/.f64 (-.f64 (pow.f64 N 2) (*.f64 N 1/2)) (pow.f64 N 3))
(/.f64 (-.f64 (pow.f64 N 3) (*.f64 1/8 (pow.f64 N -6))) (fma.f64 N N (+.f64 (/.f64 1/4 (pow.f64 N 4)) (/.f64 1/2 (pow.f64 N 3)))))
(/.f64 (-.f64 (pow.f64 N 2) (/.f64 1/4 (pow.f64 N 4))) (+.f64 N (*.f64 1/2 (pow.f64 N 2))))
(/.f64 (-.f64 (*.f64 1 (/.f64 (pow.f64 N 2) 1/2)) (*.f64 N 1)) (*.f64 N (/.f64 (pow.f64 N 2) 1/2)))
(/.f64 (-.f64 (neg.f64 (pow.f64 N 2)) (*.f64 N -1/2)) (*.f64 N (neg.f64 (pow.f64 N 2))))
(/.f64 (-.f64 (*.f64 1 (/.f64 (pow.f64 N 2) 1/2)) (*.f64 (/.f64 N 1) 1)) (*.f64 (/.f64 N 1) (/.f64 (pow.f64 N 2) 1/2)))
(/.f64 (-.f64 (pow.f64 N 2) (*.f64 (/.f64 N 1) 1/2)) (*.f64 (/.f64 N 1) (pow.f64 N 2)))
(/.f64 (-.f64 (neg.f64 (pow.f64 N 2)) (*.f64 (/.f64 N 1) -1/2)) (*.f64 (/.f64 N 1) (neg.f64 (pow.f64 N 2))))
(/.f64 (-.f64 (*.f64 -1 (/.f64 (pow.f64 N 2) 1/2)) (*.f64 (neg.f64 N) 1)) (*.f64 (neg.f64 N) (/.f64 (pow.f64 N 2) 1/2)))
(/.f64 (-.f64 (*.f64 -1 (pow.f64 N 2)) (*.f64 (neg.f64 N) 1/2)) (*.f64 (neg.f64 N) (pow.f64 N 2)))
(/.f64 (-.f64 (*.f64 -1 (neg.f64 (pow.f64 N 2))) (*.f64 (neg.f64 N) -1/2)) (*.f64 (neg.f64 N) (neg.f64 (pow.f64 N 2))))
(/.f64 (neg.f64 (-.f64 (pow.f64 N 2) (*.f64 N 1/2))) (neg.f64 (pow.f64 N 3)))
(/.f64 (neg.f64 (-.f64 (pow.f64 N 3) (*.f64 1/8 (pow.f64 N -6)))) (neg.f64 (fma.f64 N N (+.f64 (/.f64 1/4 (pow.f64 N 4)) (/.f64 1/2 (pow.f64 N 3))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 N 2) (/.f64 1/4 (pow.f64 N 4)))) (neg.f64 (+.f64 N (*.f64 1/2 (pow.f64 N 2)))))
(/.f64 (+.f64 (pow.f64 N 3) (pow.f64 (neg.f64 (*.f64 1/2 (pow.f64 N 2))) 3)) (+.f64 (pow.f64 N 2) (-.f64 (*.f64 (neg.f64 (*.f64 1/2 (pow.f64 N 2))) (neg.f64 (*.f64 1/2 (pow.f64 N 2)))) (*.f64 N (neg.f64 (*.f64 1/2 (pow.f64 N 2)))))))
(pow.f64 (-.f64 N (*.f64 1/2 (pow.f64 N 2))) 1)
(pow.f64 (cbrt.f64 (-.f64 N (*.f64 1/2 (pow.f64 N 2)))) 3)
(pow.f64 (pow.f64 (-.f64 N (*.f64 1/2 (pow.f64 N 2))) 3) 1/3)
(pow.f64 (sqrt.f64 (-.f64 N (*.f64 1/2 (pow.f64 N 2)))) 2)
(sqrt.f64 (pow.f64 (-.f64 N (*.f64 1/2 (pow.f64 N 2))) 2))
(log.f64 (exp.f64 (-.f64 N (*.f64 1/2 (pow.f64 N 2)))))
(log.f64 (+.f64 1 (expm1.f64 (-.f64 N (*.f64 1/2 (pow.f64 N 2))))))
(cbrt.f64 (pow.f64 (-.f64 N (*.f64 1/2 (pow.f64 N 2))) 3))
(expm1.f64 (log1p.f64 (-.f64 N (*.f64 1/2 (pow.f64 N 2)))))
(exp.f64 (log.f64 (-.f64 N (*.f64 1/2 (pow.f64 N 2)))))
(exp.f64 (*.f64 (log.f64 (-.f64 N (*.f64 1/2 (pow.f64 N 2)))) 1))
(log1p.f64 (expm1.f64 (-.f64 N (*.f64 1/2 (pow.f64 N 2)))))
(fma.f64 1 N (neg.f64 (*.f64 1/2 (pow.f64 N 2))))
(fma.f64 (*.f64 1/3 N) 3 (neg.f64 (*.f64 1/2 (pow.f64 N 2))))
(fma.f64 3 (*.f64 1/3 N) (neg.f64 (*.f64 1/2 (pow.f64 N 2))))
(fma.f64 (pow.f64 (cbrt.f64 N) 2) (cbrt.f64 N) (neg.f64 (*.f64 1/2 (pow.f64 N 2))))
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N
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(/.f64 (+.f64 (*.f64 1/3 (+.f64 N (fma.f64 1/4 (pow.f64 N 4) (*.f64 1/2 (pow.f64 N 2))))) (*.f64 (pow.f64 N 3) (-.f64 (pow.f64 N 2) (pow.f64 (fma.f64 1/4 (pow.f64 N 4) (*.f64 1/2 (pow.f64 N 2))) 2)))) (*.f64 (pow.f64 N 3) (+.f64 N (fma.f64 1/4 (pow.f64 N 4) (*.f64 1/2 (pow.f64 N 2))))))
(/.f64 (+.f64 (*.f64 -1/3 (fma.f64 N N (+.f64 (pow.f64 (fma.f64 1/4 (pow.f64 N 4) (*.f64 1/2 (pow.f64 N 2))) 2) (*.f64 N (fma.f64 1/4 (pow.f64 N 4) (*.f64 1/2 (pow.f64 N 2))))))) (*.f64 (neg.f64 (pow.f64 N 3)) (-.f64 (pow.f64 N 3) (pow.f64 (fma.f64 1/4 (pow.f64 N 4) (*.f64 1/2 (pow.f64 N 2))) 3)))) (*.f64 (neg.f64 (pow.f64 N 3)) (fma.f64 N N (+.f64 (pow.f64 (fma.f64 1/4 (pow.f64 N 4) (*.f64 1/2 (pow.f64 N 2))) 2) (*.f64 N (fma.f64 1/4 (pow.f64 N 4) (*.f64 1/2 (pow.f64 N 2))))))))
(/.f64 (+.f64 (*.f64 -1/3 (+.f64 N (fma.f64 1/4 (pow.f64 N 4) (*.f64 1/2 (pow.f64 N 2))))) (*.f64 (neg.f64 (pow.f64 N 3)) (-.f64 (pow.f64 N 2) (pow.f64 (fma.f64 1/4 (pow.f64 N 4) (*.f64 1/2 (pow.f64 N 2))) 2)))) (*.f64 (neg.f64 (pow.f64 N 3)) (+.f64 N (fma.f64 1/4 (pow.f64 N 4) (*.f64 1/2 (pow.f64 N 2))))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 1/3 (pow.f64 N 3)) 3) (pow.f64 (-.f64 N (fma.f64 1/4 (pow.f64 N 4) (*.f64 1/2 (pow.f64 N 2)))) 3))) (neg.f64 (+.f64 (/.f64 1/9 (pow.f64 N -6)) (-.f64 (pow.f64 (-.f64 N (fma.f64 1/4 (pow.f64 N 4) (*.f64 1/2 (pow.f64 N 2)))) 2) (*.f64 (*.f64 1/3 (pow.f64 N 3)) (-.f64 N (fma.f64 1/4 (pow.f64 N 4) (*.f64 1/2 (pow.f64 N 2)))))))))
(/.f64 (neg.f64 (-.f64 (/.f64 1/9 (pow.f64 N -6)) (pow.f64 (-.f64 N (fma.f64 1/4 (pow.f64 N 4) (*.f64 1/2 (pow.f64 N 2)))) 2))) (neg.f64 (-.f64 (*.f64 1/3 (pow.f64 N 3)) (-.f64 N (fma.f64 1/4 (pow.f64 N 4) (*.f64 1/2 (pow.f64 N 2)))))))
(/.f64 (+.f64 (pow.f64 (-.f64 N (fma.f64 1/4 (pow.f64 N 4) (*.f64 1/2 (pow.f64 N 2)))) 3) (pow.f64 (*.f64 1/3 (pow.f64 N 3)) 3)) (+.f64 (pow.f64 (-.f64 N (fma.f64 1/4 (pow.f64 N 4) (*.f64 1/2 (pow.f64 N 2)))) 2) (-.f64 (/.f64 1/9 (pow.f64 N -6)) (*.f64 (-.f64 N (fma.f64 1/4 (pow.f64 N 4) (*.f64 1/2 (pow.f64 N 2)))) (*.f64 1/3 (pow.f64 N 3))))))
(pow.f64 (fma.f64 1/3 (pow.f64 N 3) (-.f64 N (fma.f64 1/4 (pow.f64 N 4) (*.f64 1/2 (pow.f64 N 2))))) 1)
(pow.f64 (cbrt.f64 (fma.f64 1/3 (pow.f64 N 3) (-.f64 N (fma.f64 1/4 (pow.f64 N 4) (*.f64 1/2 (pow.f64 N 2)))))) 3)
(pow.f64 (pow.f64 (fma.f64 1/3 (pow.f64 N 3) (-.f64 N (fma.f64 1/4 (pow.f64 N 4) (*.f64 1/2 (pow.f64 N 2))))) 3) 1/3)
(pow.f64 (sqrt.f64 (fma.f64 1/3 (pow.f64 N 3) (-.f64 N (fma.f64 1/4 (pow.f64 N 4) (*.f64 1/2 (pow.f64 N 2)))))) 2)
(sqrt.f64 (pow.f64 (fma.f64 1/3 (pow.f64 N 3) (-.f64 N (fma.f64 1/4 (pow.f64 N 4) (*.f64 1/2 (pow.f64 N 2))))) 2))
(log.f64 (exp.f64 (fma.f64 1/3 (pow.f64 N 3) (-.f64 N (fma.f64 1/4 (pow.f64 N 4) (*.f64 1/2 (pow.f64 N 2)))))))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 1/3 (pow.f64 N 3) (-.f64 N (fma.f64 1/4 (pow.f64 N 4) (*.f64 1/2 (pow.f64 N 2))))))))
(cbrt.f64 (pow.f64 (fma.f64 1/3 (pow.f64 N 3) (-.f64 N (fma.f64 1/4 (pow.f64 N 4) (*.f64 1/2 (pow.f64 N 2))))) 3))
(expm1.f64 (log1p.f64 (fma.f64 1/3 (pow.f64 N 3) (-.f64 N (fma.f64 1/4 (pow.f64 N 4) (*.f64 1/2 (pow.f64 N 2)))))))
(exp.f64 (log.f64 (fma.f64 1/3 (pow.f64 N 3) (-.f64 N (fma.f64 1/4 (pow.f64 N 4) (*.f64 1/2 (pow.f64 N 2)))))))
(exp.f64 (*.f64 (log.f64 (fma.f64 1/3 (pow.f64 N 3) (-.f64 N (fma.f64 1/4 (pow.f64 N 4) (*.f64 1/2 (pow.f64 N 2)))))) 1))
(log1p.f64 (expm1.f64 (fma.f64 1/3 (pow.f64 N 3) (-.f64 N (fma.f64 1/4 (pow.f64 N 4) (*.f64 1/2 (pow.f64 N 2)))))))
(fma.f64 1 (-.f64 N (fma.f64 1/4 (pow.f64 N 4) (*.f64 1/2 (pow.f64 N 2)))) (*.f64 1/3 (pow.f64 N 3)))
(fma.f64 1 (*.f64 1/3 (pow.f64 N 3)) (-.f64 N (fma.f64 1/4 (pow.f64 N 4) (*.f64 1/2 (pow.f64 N 2)))))
(fma.f64 1/3 (pow.f64 N 3) (-.f64 N (fma.f64 1/4 (pow.f64 N 4) (*.f64 1/2 (pow.f64 N 2)))))
(fma.f64 (pow.f64 (cbrt.f64 (-.f64 N (fma.f64 1/4 (pow.f64 N 4) (*.f64 1/2 (pow.f64 N 2))))) 2) (cbrt.f64 (-.f64 N (fma.f64 1/4 (pow.f64 N 4) (*.f64 1/2 (pow.f64 N 2))))) (*.f64 1/3 (pow.f64 N 3)))
(fma.f64 (pow.f64 (*.f64 (cbrt.f64 1/3) N) 2) (*.f64 (cbrt.f64 1/3) N) (-.f64 N (fma.f64 1/4 (pow.f64 N 4) (*.f64 1/2 (pow.f64 N 2)))))
(fma.f64 (sqrt.f64 (-.f64 N (fma.f64 1/4 (pow.f64 N 4) (*.f64 1/2 (pow.f64 N 2))))) (sqrt.f64 (-.f64 N (fma.f64 1/4 (pow.f64 N 4) (*.f64 1/2 (pow.f64 N 2))))) (*.f64 1/3 (pow.f64 N 3)))
(fma.f64 (*.f64 (sqrt.f64 1/3) (pow.f64 N 3/2)) (*.f64 (sqrt.f64 1/3) (pow.f64 N 3/2)) (-.f64 N (fma.f64 1/4 (pow.f64 N 4) (*.f64 1/2 (pow.f64 N 2)))))

simplify232.0ms (2.2%)

Algorithm
egg-herbie
Rules
1462×fma-def
466×sqr-pow
442×distribute-rgt-in
422×distribute-lft-in
420×cancel-sign-sub-inv
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0108028692
1292326490
Stop Event
node limit
Counts
550 → 674
Calls
Call 1
Inputs
(/.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 N)
(/.f64 1 N)
(/.f64 1 N)
(/.f64 1 N)
(/.f64 1 N)
(/.f64 1 N)
(/.f64 1 N)
(/.f64 1 N)
(/.f64 1 N)
(/.f64 1 N)
(/.f64 1 N)
(/.f64 1 N)
(/.f64 1 N)
(-.f64 (/.f64 1 N) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (+.f64 (*.f64 1/8 (/.f64 1 (pow.f64 N 3))) (/.f64 1 N)) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (+.f64 (*.f64 1/8 (/.f64 1 (pow.f64 N 3))) (/.f64 1 N)) (+.f64 (*.f64 1/48 (/.f64 1 (pow.f64 N 4))) (*.f64 1/2 (/.f64 1 (pow.f64 N 2)))))
(exp.f64 (+.f64 (log.f64 -1) (log.f64 (/.f64 -1 N))))
(+.f64 (exp.f64 (+.f64 (log.f64 -1) (log.f64 (/.f64 -1 N)))) (*.f64 -1/2 (/.f64 (exp.f64 (+.f64 (log.f64 -1) (log.f64 (/.f64 -1 N)))) N)))
(+.f64 (exp.f64 (+.f64 (log.f64 -1) (log.f64 (/.f64 -1 N)))) (+.f64 (*.f64 -1/2 (/.f64 (exp.f64 (+.f64 (log.f64 -1) (log.f64 (/.f64 -1 N)))) N)) (*.f64 1/8 (/.f64 (exp.f64 (+.f64 (log.f64 -1) (log.f64 (/.f64 -1 N)))) (pow.f64 N 2)))))
(+.f64 (exp.f64 (+.f64 (log.f64 -1) (log.f64 (/.f64 -1 N)))) (+.f64 (*.f64 -1/2 (/.f64 (exp.f64 (+.f64 (log.f64 -1) (log.f64 (/.f64 -1 N)))) N)) (+.f64 (*.f64 -1/48 (/.f64 (exp.f64 (+.f64 (log.f64 -1) (log.f64 (/.f64 -1 N)))) (pow.f64 N 3))) (*.f64 1/8 (/.f64 (exp.f64 (+.f64 (log.f64 -1) (log.f64 (/.f64 -1 N)))) (pow.f64 N 2))))))
(/.f64 -1/2 N)
(-.f64 (*.f64 -1 (log.f64 N)) (*.f64 1/2 (/.f64 1 N)))
(-.f64 (*.f64 -1 (log.f64 N)) (*.f64 1/2 (/.f64 1 N)))
(-.f64 (*.f64 -1 (log.f64 N)) (*.f64 1/2 (/.f64 1 N)))
(log.f64 (/.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) (log.f64 (/.f64 -1 N))) (*.f64 1/2 (/.f64 1 N)))
(-.f64 (+.f64 (log.f64 -1) (log.f64 (/.f64 -1 N))) (*.f64 1/2 (/.f64 1 N)))
(*.f64 -1 (log.f64 N))
(*.f64 -1 (log.f64 N))
(*.f64 -1 (log.f64 N))
(*.f64 -1 (log.f64 N))
(+.f64 (log.f64 -1) (log.f64 (/.f64 -1 N)))
(+.f64 (log.f64 -1) (log.f64 (/.f64 -1 N)))
(+.f64 (log.f64 -1) (log.f64 (/.f64 -1 N)))
(+.f64 (log.f64 -1) (log.f64 (/.f64 -1 N)))
(/.f64 2 N)
(-.f64 (*.f64 2 (/.f64 1 N)) (*.f64 2 (/.f64 1 (log.f64 N))))
(-.f64 (+.f64 (*.f64 2 (*.f64 N (+.f64 (*.f64 1/2 (/.f64 1 (log.f64 N))) (/.f64 1 (pow.f64 (log.f64 N) 2))))) (*.f64 2 (/.f64 1 N))) (*.f64 2 (/.f64 1 (log.f64 N))))
(-.f64 (+.f64 (*.f64 -2 (*.f64 (pow.f64 N 2) (+.f64 (*.f64 1/3 (/.f64 1 (log.f64 N))) (+.f64 (/.f64 1 (pow.f64 (log.f64 N) 2)) (/.f64 1 (pow.f64 (log.f64 N) 3)))))) (+.f64 (*.f64 2 (*.f64 N (+.f64 (*.f64 1/2 (/.f64 1 (log.f64 N))) (/.f64 1 (pow.f64 (log.f64 N) 2))))) (*.f64 2 (/.f64 1 N)))) (*.f64 2 (/.f64 1 (log.f64 N))))
(/.f64 1 N)
(+.f64 (/.f64 1 N) (*.f64 1/2 (/.f64 1 (*.f64 (pow.f64 N 2) (log.f64 (/.f64 1 N))))))
(+.f64 (*.f64 1/2 (/.f64 1 (*.f64 (pow.f64 N 2) (log.f64 (/.f64 1 N))))) (+.f64 (*.f64 2 (/.f64 (-.f64 (*.f64 1/8 (/.f64 1 (pow.f64 (log.f64 (/.f64 1 N)) 2))) (*.f64 1/8 (/.f64 1 (log.f64 (/.f64 1 N))))) (pow.f64 N 3))) (/.f64 1 N)))
(+.f64 (*.f64 1/2 (/.f64 1 (*.f64 (pow.f64 N 2) (log.f64 (/.f64 1 N))))) (+.f64 (*.f64 2 (/.f64 (-.f64 (*.f64 1/12 (/.f64 1 (log.f64 (/.f64 1 N)))) (+.f64 (*.f64 -1/2 (/.f64 (-.f64 (*.f64 1/8 (/.f64 1 (pow.f64 (log.f64 (/.f64 1 N)) 2))) (*.f64 1/8 (/.f64 1 (log.f64 (/.f64 1 N))))) (log.f64 (/.f64 1 N)))) (*.f64 1/16 (/.f64 1 (pow.f64 (log.f64 (/.f64 1 N)) 2))))) (pow.f64 N 4))) (+.f64 (*.f64 2 (/.f64 (-.f64 (*.f64 1/8 (/.f64 1 (pow.f64 (log.f64 (/.f64 1 N)) 2))) (*.f64 1/8 (/.f64 1 (log.f64 (/.f64 1 N))))) (pow.f64 N 3))) (/.f64 1 N))))
(*.f64 2 (/.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 N)))) (*.f64 N (+.f64 (*.f64 -2 (log.f64 (/.f64 -1 N))) (*.f64 2 (log.f64 -1))))))
(+.f64 (*.f64 -2 (/.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 N)))) (*.f64 (pow.f64 N 2) (pow.f64 (+.f64 (*.f64 -2 (log.f64 (/.f64 -1 N))) (*.f64 2 (log.f64 -1))) 2)))) (*.f64 2 (/.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 N)))) (*.f64 N (+.f64 (*.f64 -2 (log.f64 (/.f64 -1 N))) (*.f64 2 (log.f64 -1)))))))
(+.f64 (*.f64 -2 (/.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 N)))) (*.f64 (pow.f64 N 2) (pow.f64 (+.f64 (*.f64 -2 (log.f64 (/.f64 -1 N))) (*.f64 2 (log.f64 -1))) 2)))) (+.f64 (*.f64 -2 (/.f64 (+.f64 (*.f64 -1 (/.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 N)))) (pow.f64 (+.f64 (*.f64 -2 (log.f64 (/.f64 -1 N))) (*.f64 2 (log.f64 -1))) 3))) (*.f64 -1/2 (/.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 N)))) (pow.f64 (+.f64 (*.f64 -2 (log.f64 (/.f64 -1 N))) (*.f64 2 (log.f64 -1))) 2)))) (pow.f64 N 3))) (*.f64 2 (/.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 N)))) (*.f64 N (+.f64 (*.f64 -2 (log.f64 (/.f64 -1 N))) (*.f64 2 (log.f64 -1))))))))
(+.f64 (*.f64 -2 (/.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 N)))) (*.f64 (pow.f64 N 2) (pow.f64 (+.f64 (*.f64 -2 (log.f64 (/.f64 -1 N))) (*.f64 2 (log.f64 -1))) 2)))) (+.f64 (*.f64 -2 (/.f64 (+.f64 (*.f64 -1 (/.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 N)))) (pow.f64 (+.f64 (*.f64 -2 (log.f64 (/.f64 -1 N))) (*.f64 2 (log.f64 -1))) 3))) (*.f64 -1/2 (/.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 N)))) (pow.f64 (+.f64 (*.f64 -2 (log.f64 (/.f64 -1 N))) (*.f64 2 (log.f64 -1))) 2)))) (pow.f64 N 3))) (+.f64 (*.f64 2 (/.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 N)))) (*.f64 N (+.f64 (*.f64 -2 (log.f64 (/.f64 -1 N))) (*.f64 2 (log.f64 -1)))))) (*.f64 2 (/.f64 (+.f64 (*.f64 -1 (/.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 N)))) (pow.f64 (+.f64 (*.f64 -2 (log.f64 (/.f64 -1 N))) (*.f64 2 (log.f64 -1))) 3))) (+.f64 (*.f64 -1 (/.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 N)))) (pow.f64 (+.f64 (*.f64 -2 (log.f64 (/.f64 -1 N))) (*.f64 2 (log.f64 -1))) 4))) (*.f64 -1/3 (/.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 N)))) (pow.f64 (+.f64 (*.f64 -2 (log.f64 (/.f64 -1 N))) (*.f64 2 (log.f64 -1))) 2))))) (pow.f64 N 4))))))
(*.f64 2 (/.f64 (log.f64 N) N))
(*.f64 2 (/.f64 (log.f64 N) N))
(*.f64 2 (/.f64 (log.f64 N) N))
(*.f64 2 (/.f64 (log.f64 N) N))
(*.f64 -2 (/.f64 (log.f64 (/.f64 1 N)) N))
(*.f64 -2 (/.f64 (log.f64 (/.f64 1 N)) N))
(*.f64 -2 (/.f64 (log.f64 (/.f64 1 N)) N))
(*.f64 -2 (/.f64 (log.f64 (/.f64 1 N)) N))
(*.f64 2 (/.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 N)))) N))
(*.f64 2 (/.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 N)))) N))
(*.f64 2 (/.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 N)))) N))
(*.f64 2 (/.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 N)))) N))
(log.f64 N)
(+.f64 N (log.f64 N))
(+.f64 N (+.f64 (log.f64 N) (*.f64 -1/2 (pow.f64 N 2))))
(+.f64 N (+.f64 (log.f64 N) (+.f64 (*.f64 -1/2 (pow.f64 N 2)) (*.f64 1/3 (pow.f64 N 3)))))
(*.f64 -2 (log.f64 (/.f64 1 N)))
(+.f64 (*.f64 -2 (log.f64 (/.f64 1 N))) (/.f64 1 N))
(-.f64 (+.f64 (*.f64 -2 (log.f64 (/.f64 1 N))) (/.f64 1 N)) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (+.f64 (*.f64 -2 (log.f64 (/.f64 1 N))) (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 N 3))) (/.f64 1 N))) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(+.f64 (*.f64 -2 (log.f64 (/.f64 -1 N))) (*.f64 2 (log.f64 -1)))
(+.f64 (*.f64 -2 (log.f64 (/.f64 -1 N))) (+.f64 (*.f64 2 (log.f64 -1)) (/.f64 1 N)))
(-.f64 (+.f64 (*.f64 -2 (log.f64 (/.f64 -1 N))) (+.f64 (*.f64 2 (log.f64 -1)) (/.f64 1 N))) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (+.f64 (*.f64 -2 (log.f64 (/.f64 -1 N))) (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 N 3))) (+.f64 (*.f64 2 (log.f64 -1)) (/.f64 1 N)))) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(/.f64 -1/4 (pow.f64 N 4))
(neg.f64 (+.f64 (*.f64 1/2 (/.f64 1 (pow.f64 N 2))) (*.f64 1/4 (/.f64 1 (pow.f64 N 4)))))
(-.f64 (/.f64 1 N) (+.f64 (*.f64 1/2 (/.f64 1 (pow.f64 N 2))) (*.f64 1/4 (/.f64 1 (pow.f64 N 4)))))
(-.f64 (/.f64 1 N) (+.f64 (*.f64 1/2 (/.f64 1 (pow.f64 N 2))) (*.f64 1/4 (/.f64 1 (pow.f64 N 4)))))
(/.f64 1 N)
(-.f64 (/.f64 1 N) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (/.f64 1 N) (+.f64 (*.f64 1/4 (/.f64 1 (pow.f64 N 4))) (*.f64 1/2 (/.f64 1 (pow.f64 N 2)))))
(-.f64 (/.f64 1 N) (+.f64 (*.f64 1/4 (/.f64 1 (pow.f64 N 4))) (*.f64 1/2 (/.f64 1 (pow.f64 N 2)))))
(/.f64 1 N)
(-.f64 (/.f64 1 N) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (/.f64 1 N) (+.f64 (*.f64 1/4 (/.f64 1 (pow.f64 N 4))) (*.f64 1/2 (/.f64 1 (pow.f64 N 2)))))
(-.f64 (/.f64 1 N) (+.f64 (*.f64 1/4 (/.f64 1 (pow.f64 N 4))) (*.f64 1/2 (/.f64 1 (pow.f64 N 2)))))
(/.f64 -1/4 (pow.f64 N 4))
(neg.f64 (+.f64 (*.f64 1/2 (/.f64 1 (pow.f64 N 2))) (*.f64 1/4 (/.f64 1 (pow.f64 N 4)))))
(-.f64 (/.f64 1 N) (+.f64 (*.f64 1/2 (/.f64 1 (pow.f64 N 2))) (*.f64 1/4 (/.f64 1 (pow.f64 N 4)))))
(-.f64 (/.f64 1 N) (+.f64 (*.f64 1/2 (/.f64 1 (pow.f64 N 2))) (*.f64 1/4 (/.f64 1 (pow.f64 N 4)))))
(/.f64 1 N)
(-.f64 (/.f64 1 N) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (/.f64 1 N) (+.f64 (*.f64 1/4 (/.f64 1 (pow.f64 N 4))) (*.f64 1/2 (/.f64 1 (pow.f64 N 2)))))
(-.f64 (/.f64 1 N) (+.f64 (*.f64 1/4 (/.f64 1 (pow.f64 N 4))) (*.f64 1/2 (/.f64 1 (pow.f64 N 2)))))
(/.f64 1 N)
(-.f64 (/.f64 1 N) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
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(pow.f64 (-.f64 N (fma.f64 1/4 (pow.f64 N 4) (*.f64 1/2 (pow.f64 N 2)))) 1)
(pow.f64 (cbrt.f64 (-.f64 N (fma.f64 1/4 (pow.f64 N 4) (*.f64 1/2 (pow.f64 N 2))))) 3)
(pow.f64 (pow.f64 (-.f64 N (fma.f64 1/4 (pow.f64 N 4) (*.f64 1/2 (pow.f64 N 2)))) 3) 1/3)
(pow.f64 (sqrt.f64 (-.f64 N (fma.f64 1/4 (pow.f64 N 4) (*.f64 1/2 (pow.f64 N 2))))) 2)
(pow.f64 (exp.f64 1) (log.f64 (-.f64 N (fma.f64 1/4 (pow.f64 N 4) (*.f64 1/2 (pow.f64 N 2))))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (-.f64 N (fma.f64 1/4 (pow.f64 N 4) (*.f64 1/2 (pow.f64 N 2)))))) 2)) (cbrt.f64 (log.f64 (-.f64 N (fma.f64 1/4 (pow.f64 N 4) (*.f64 1/2 (pow.f64 N 2)))))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (-.f64 N (fma.f64 1/4 (pow.f64 N 4) (*.f64 1/2 (pow.f64 N 2))))))) (sqrt.f64 (log.f64 (-.f64 N (fma.f64 1/4 (pow.f64 N 4) (*.f64 1/2 (pow.f64 N 2)))))))
(sqrt.f64 (pow.f64 (-.f64 N (fma.f64 1/4 (pow.f64 N 4) (*.f64 1/2 (pow.f64 N 2)))) 2))
(log.f64 (exp.f64 (-.f64 N (fma.f64 1/4 (pow.f64 N 4) (*.f64 1/2 (pow.f64 N 2))))))
(log.f64 (+.f64 1 (expm1.f64 (-.f64 N (fma.f64 1/4 (pow.f64 N 4) (*.f64 1/2 (pow.f64 N 2)))))))
(cbrt.f64 (pow.f64 (-.f64 N (fma.f64 1/4 (pow.f64 N 4) (*.f64 1/2 (pow.f64 N 2)))) 3))
(expm1.f64 (log1p.f64 (-.f64 N (fma.f64 1/4 (pow.f64 N 4) (*.f64 1/2 (pow.f64 N 2))))))
(exp.f64 (log.f64 (-.f64 N (fma.f64 1/4 (pow.f64 N 4) (*.f64 1/2 (pow.f64 N 2))))))
(exp.f64 (*.f64 (log.f64 (-.f64 N (fma.f64 1/4 (pow.f64 N 4) (*.f64 1/2 (pow.f64 N 2))))) 1))
(log1p.f64 (expm1.f64 (-.f64 N (fma.f64 1/4 (pow.f64 N 4) (*.f64 1/2 (pow.f64 N 2))))))
(fma.f64 1 N (neg.f64 (fma.f64 1/4 (pow.f64 N 4) (*.f64 1/2 (pow.f64 N 2)))))
(fma.f64 (*.f64 1/3 N) 3 (neg.f64 (fma.f64 1/4 (pow.f64 N 4) (*.f64 1/2 (pow.f64 N 2)))))
(fma.f64 3 (*.f64 1/3 N) (neg.f64 (fma.f64 1/4 (pow.f64 N 4) (*.f64 1/2 (pow.f64 N 2)))))
(fma.f64 (pow.f64 (cbrt.f64 N) 2) (cbrt.f64 N) (neg.f64 (fma.f64 1/4 (pow.f64 N 4) (*.f64 1/2 (pow.f64 N 2)))))
(fma.f64 (sqrt.f64 N) (sqrt.f64 N) (neg.f64 (fma.f64 1/4 (pow.f64 N 4) (*.f64 1/2 (pow.f64 N 2)))))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 1/3 (pow.f64 N 3) (-.f64 N (fma.f64 1/4 (pow.f64 N 4) (*.f64 1/2 (pow.f64 N 2))))))) 1)
(-.f64 (/.f64 (/.f64 1/9 (pow.f64 N -6)) (-.f64 (*.f64 1/3 (pow.f64 N 3)) (-.f64 N (fma.f64 1/4 (pow.f64 N 4) (*.f64 1/2 (pow.f64 N 2)))))) (/.f64 (pow.f64 (-.f64 N (fma.f64 1/4 (pow.f64 N 4) (*.f64 1/2 (pow.f64 N 2)))) 2) (-.f64 (*.f64 1/3 (pow.f64 N 3)) (-.f64 N (fma.f64 1/4 (pow.f64 N 4) (*.f64 1/2 (pow.f64 N 2)))))))
(*.f64 1 (fma.f64 1/3 (pow.f64 N 3) (-.f64 N (fma.f64 1/4 (pow.f64 N 4) (*.f64 1/2 (pow.f64 N 2))))))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 1/3 (pow.f64 N 3) (-.f64 N (fma.f64 1/4 (pow.f64 N 4) (*.f64 1/2 (pow.f64 N 2)))))) 2) (cbrt.f64 (fma.f64 1/3 (pow.f64 N 3) (-.f64 N (fma.f64 1/4 (pow.f64 N 4) (*.f64 1/2 (pow.f64 N 2)))))))
(*.f64 (sqrt.f64 (fma.f64 1/3 (pow.f64 N 3) (-.f64 N (fma.f64 1/4 (pow.f64 N 4) (*.f64 1/2 (pow.f64 N 2)))))) (sqrt.f64 (fma.f64 1/3 (pow.f64 N 3) (-.f64 N (fma.f64 1/4 (pow.f64 N 4) (*.f64 1/2 (pow.f64 N 2)))))))
(/.f64 (+.f64 (pow.f64 (*.f64 1/3 (pow.f64 N 3)) 3) (pow.f64 (-.f64 N (fma.f64 1/4 (pow.f64 N 4) (*.f64 1/2 (pow.f64 N 2)))) 3)) (+.f64 (/.f64 1/9 (pow.f64 N -6)) (-.f64 (pow.f64 (-.f64 N (fma.f64 1/4 (pow.f64 N 4) (*.f64 1/2 (pow.f64 N 2)))) 2) (*.f64 (*.f64 1/3 (pow.f64 N 3)) (-.f64 N (fma.f64 1/4 (pow.f64 N 4) (*.f64 1/2 (pow.f64 N 2))))))))
(/.f64 (-.f64 (/.f64 1/9 (pow.f64 N -6)) (pow.f64 (-.f64 N (fma.f64 1/4 (pow.f64 N 4) (*.f64 1/2 (pow.f64 N 2)))) 2)) (-.f64 (*.f64 1/3 (pow.f64 N 3)) (-.f64 N (fma.f64 1/4 (pow.f64 N 4) (*.f64 1/2 (pow.f64 N 2))))))
(/.f64 (+.f64 (*.f64 (-.f64 (pow.f64 N 3) (pow.f64 (fma.f64 1/4 (pow.f64 N 4) (*.f64 1/2 (pow.f64 N 2))) 3)) (/.f64 (pow.f64 N 3) 1/3)) (*.f64 (fma.f64 N N (+.f64 (pow.f64 (fma.f64 1/4 (pow.f64 N 4) (*.f64 1/2 (pow.f64 N 2))) 2) (*.f64 N (fma.f64 1/4 (pow.f64 N 4) (*.f64 1/2 (pow.f64 N 2)))))) 1)) (*.f64 (fma.f64 N N (+.f64 (pow.f64 (fma.f64 1/4 (pow.f64 N 4) (*.f64 1/2 (pow.f64 N 2))) 2) (*.f64 N (fma.f64 1/4 (pow.f64 N 4) (*.f64 1/2 (pow.f64 N 2)))))) (/.f64 (pow.f64 N 3) 1/3)))
(/.f64 (+.f64 (*.f64 (-.f64 (pow.f64 N 3) (pow.f64 (fma.f64 1/4 (pow.f64 N 4) (*.f64 1/2 (pow.f64 N 2))) 3)) (pow.f64 N 3)) (*.f64 (fma.f64 N N (+.f64 (pow.f64 (fma.f64 1/4 (pow.f64 N 4) (*.f64 1/2 (pow.f64 N 2))) 2) (*.f64 N (fma.f64 1/4 (pow.f64 N 4) (*.f64 1/2 (pow.f64 N 2)))))) 1/3)) (*.f64 (fma.f64 N N (+.f64 (pow.f64 (fma.f64 1/4 (pow.f64 N 4) (*.f64 1/2 (pow.f64 N 2))) 2) (*.f64 N (fma.f64 1/4 (pow.f64 N 4) (*.f64 1/2 (pow.f64 N 2)))))) (pow.f64 N 3)))
(/.f64 (+.f64 (*.f64 (-.f64 (pow.f64 N 3) (pow.f64 (fma.f64 1/4 (pow.f64 N 4) (*.f64 1/2 (pow.f64 N 2))) 3)) (neg.f64 (pow.f64 N 3))) (*.f64 (fma.f64 N N (+.f64 (pow.f64 (fma.f64 1/4 (pow.f64 N 4) (*.f64 1/2 (pow.f64 N 2))) 2) (*.f64 N (fma.f64 1/4 (pow.f64 N 4) (*.f64 1/2 (pow.f64 N 2)))))) -1/3)) (*.f64 (fma.f64 N N (+.f64 (pow.f64 (fma.f64 1/4 (pow.f64 N 4) (*.f64 1/2 (pow.f64 N 2))) 2) (*.f64 N (fma.f64 1/4 (pow.f64 N 4) (*.f64 1/2 (pow.f64 N 2)))))) (neg.f64 (pow.f64 N 3))))
(/.f64 (+.f64 (*.f64 (-.f64 (pow.f64 N 2) (pow.f64 (fma.f64 1/4 (pow.f64 N 4) (*.f64 1/2 (pow.f64 N 2))) 2)) (/.f64 (pow.f64 N 3) 1/3)) (*.f64 (+.f64 N (fma.f64 1/4 (pow.f64 N 4) (*.f64 1/2 (pow.f64 N 2)))) 1)) (*.f64 (+.f64 N (fma.f64 1/4 (pow.f64 N 4) (*.f64 1/2 (pow.f64 N 2)))) (/.f64 (pow.f64 N 3) 1/3)))
(/.f64 (+.f64 (*.f64 (-.f64 (pow.f64 N 2) (pow.f64 (fma.f64 1/4 (pow.f64 N 4) (*.f64 1/2 (pow.f64 N 2))) 2)) (pow.f64 N 3)) (*.f64 (+.f64 N (fma.f64 1/4 (pow.f64 N 4) (*.f64 1/2 (pow.f64 N 2)))) 1/3)) (*.f64 (+.f64 N (fma.f64 1/4 (pow.f64 N 4) (*.f64 1/2 (pow.f64 N 2)))) (pow.f64 N 3)))
(/.f64 (+.f64 (*.f64 (-.f64 (pow.f64 N 2) (pow.f64 (fma.f64 1/4 (pow.f64 N 4) (*.f64 1/2 (pow.f64 N 2))) 2)) (neg.f64 (pow.f64 N 3))) (*.f64 (+.f64 N (fma.f64 1/4 (pow.f64 N 4) (*.f64 1/2 (pow.f64 N 2)))) -1/3)) (*.f64 (+.f64 N (fma.f64 1/4 (pow.f64 N 4) (*.f64 1/2 (pow.f64 N 2)))) (neg.f64 (pow.f64 N 3))))
(/.f64 (+.f64 (*.f64 1 (fma.f64 N N (+.f64 (pow.f64 (fma.f64 1/4 (pow.f64 N 4) (*.f64 1/2 (pow.f64 N 2))) 2) (*.f64 N (fma.f64 1/4 (pow.f64 N 4) (*.f64 1/2 (pow.f64 N 2))))))) (*.f64 (/.f64 (pow.f64 N 3) 1/3) (-.f64 (pow.f64 N 3) (pow.f64 (fma.f64 1/4 (pow.f64 N 4) (*.f64 1/2 (pow.f64 N 2))) 3)))) (*.f64 (/.f64 (pow.f64 N 3) 1/3) (fma.f64 N N (+.f64 (pow.f64 (fma.f64 1/4 (pow.f64 N 4) (*.f64 1/2 (pow.f64 N 2))) 2) (*.f64 N (fma.f64 1/4 (pow.f64 N 4) (*.f64 1/2 (pow.f64 N 2))))))))
(/.f64 (+.f64 (*.f64 1 (+.f64 N (fma.f64 1/4 (pow.f64 N 4) (*.f64 1/2 (pow.f64 N 2))))) (*.f64 (/.f64 (pow.f64 N 3) 1/3) (-.f64 (pow.f64 N 2) (pow.f64 (fma.f64 1/4 (pow.f64 N 4) (*.f64 1/2 (pow.f64 N 2))) 2)))) (*.f64 (/.f64 (pow.f64 N 3) 1/3) (+.f64 N (fma.f64 1/4 (pow.f64 N 4) (*.f64 1/2 (pow.f64 N 2))))))
(/.f64 (+.f64 (*.f64 1/3 (fma.f64 N N (+.f64 (pow.f64 (fma.f64 1/4 (pow.f64 N 4) (*.f64 1/2 (pow.f64 N 2))) 2) (*.f64 N (fma.f64 1/4 (pow.f64 N 4) (*.f64 1/2 (pow.f64 N 2))))))) (*.f64 (pow.f64 N 3) (-.f64 (pow.f64 N 3) (pow.f64 (fma.f64 1/4 (pow.f64 N 4) (*.f64 1/2 (pow.f64 N 2))) 3)))) (*.f64 (pow.f64 N 3) (fma.f64 N N (+.f64 (pow.f64 (fma.f64 1/4 (pow.f64 N 4) (*.f64 1/2 (pow.f64 N 2))) 2) (*.f64 N (fma.f64 1/4 (pow.f64 N 4) (*.f64 1/2 (pow.f64 N 2))))))))
(/.f64 (+.f64 (*.f64 1/3 (+.f64 N (fma.f64 1/4 (pow.f64 N 4) (*.f64 1/2 (pow.f64 N 2))))) (*.f64 (pow.f64 N 3) (-.f64 (pow.f64 N 2) (pow.f64 (fma.f64 1/4 (pow.f64 N 4) (*.f64 1/2 (pow.f64 N 2))) 2)))) (*.f64 (pow.f64 N 3) (+.f64 N (fma.f64 1/4 (pow.f64 N 4) (*.f64 1/2 (pow.f64 N 2))))))
(/.f64 (+.f64 (*.f64 -1/3 (fma.f64 N N (+.f64 (pow.f64 (fma.f64 1/4 (pow.f64 N 4) (*.f64 1/2 (pow.f64 N 2))) 2) (*.f64 N (fma.f64 1/4 (pow.f64 N 4) (*.f64 1/2 (pow.f64 N 2))))))) (*.f64 (neg.f64 (pow.f64 N 3)) (-.f64 (pow.f64 N 3) (pow.f64 (fma.f64 1/4 (pow.f64 N 4) (*.f64 1/2 (pow.f64 N 2))) 3)))) (*.f64 (neg.f64 (pow.f64 N 3)) (fma.f64 N N (+.f64 (pow.f64 (fma.f64 1/4 (pow.f64 N 4) (*.f64 1/2 (pow.f64 N 2))) 2) (*.f64 N (fma.f64 1/4 (pow.f64 N 4) (*.f64 1/2 (pow.f64 N 2))))))))
(/.f64 (+.f64 (*.f64 -1/3 (+.f64 N (fma.f64 1/4 (pow.f64 N 4) (*.f64 1/2 (pow.f64 N 2))))) (*.f64 (neg.f64 (pow.f64 N 3)) (-.f64 (pow.f64 N 2) (pow.f64 (fma.f64 1/4 (pow.f64 N 4) (*.f64 1/2 (pow.f64 N 2))) 2)))) (*.f64 (neg.f64 (pow.f64 N 3)) (+.f64 N (fma.f64 1/4 (pow.f64 N 4) (*.f64 1/2 (pow.f64 N 2))))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 1/3 (pow.f64 N 3)) 3) (pow.f64 (-.f64 N (fma.f64 1/4 (pow.f64 N 4) (*.f64 1/2 (pow.f64 N 2)))) 3))) (neg.f64 (+.f64 (/.f64 1/9 (pow.f64 N -6)) (-.f64 (pow.f64 (-.f64 N (fma.f64 1/4 (pow.f64 N 4) (*.f64 1/2 (pow.f64 N 2)))) 2) (*.f64 (*.f64 1/3 (pow.f64 N 3)) (-.f64 N (fma.f64 1/4 (pow.f64 N 4) (*.f64 1/2 (pow.f64 N 2)))))))))
(/.f64 (neg.f64 (-.f64 (/.f64 1/9 (pow.f64 N -6)) (pow.f64 (-.f64 N (fma.f64 1/4 (pow.f64 N 4) (*.f64 1/2 (pow.f64 N 2)))) 2))) (neg.f64 (-.f64 (*.f64 1/3 (pow.f64 N 3)) (-.f64 N (fma.f64 1/4 (pow.f64 N 4) (*.f64 1/2 (pow.f64 N 2)))))))
(/.f64 (+.f64 (pow.f64 (-.f64 N (fma.f64 1/4 (pow.f64 N 4) (*.f64 1/2 (pow.f64 N 2)))) 3) (pow.f64 (*.f64 1/3 (pow.f64 N 3)) 3)) (+.f64 (pow.f64 (-.f64 N (fma.f64 1/4 (pow.f64 N 4) (*.f64 1/2 (pow.f64 N 2)))) 2) (-.f64 (/.f64 1/9 (pow.f64 N -6)) (*.f64 (-.f64 N (fma.f64 1/4 (pow.f64 N 4) (*.f64 1/2 (pow.f64 N 2)))) (*.f64 1/3 (pow.f64 N 3))))))
(pow.f64 (fma.f64 1/3 (pow.f64 N 3) (-.f64 N (fma.f64 1/4 (pow.f64 N 4) (*.f64 1/2 (pow.f64 N 2))))) 1)
(pow.f64 (cbrt.f64 (fma.f64 1/3 (pow.f64 N 3) (-.f64 N (fma.f64 1/4 (pow.f64 N 4) (*.f64 1/2 (pow.f64 N 2)))))) 3)
(pow.f64 (pow.f64 (fma.f64 1/3 (pow.f64 N 3) (-.f64 N (fma.f64 1/4 (pow.f64 N 4) (*.f64 1/2 (pow.f64 N 2))))) 3) 1/3)
(pow.f64 (sqrt.f64 (fma.f64 1/3 (pow.f64 N 3) (-.f64 N (fma.f64 1/4 (pow.f64 N 4) (*.f64 1/2 (pow.f64 N 2)))))) 2)
(sqrt.f64 (pow.f64 (fma.f64 1/3 (pow.f64 N 3) (-.f64 N (fma.f64 1/4 (pow.f64 N 4) (*.f64 1/2 (pow.f64 N 2))))) 2))
(log.f64 (exp.f64 (fma.f64 1/3 (pow.f64 N 3) (-.f64 N (fma.f64 1/4 (pow.f64 N 4) (*.f64 1/2 (pow.f64 N 2)))))))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 1/3 (pow.f64 N 3) (-.f64 N (fma.f64 1/4 (pow.f64 N 4) (*.f64 1/2 (pow.f64 N 2))))))))
(cbrt.f64 (pow.f64 (fma.f64 1/3 (pow.f64 N 3) (-.f64 N (fma.f64 1/4 (pow.f64 N 4) (*.f64 1/2 (pow.f64 N 2))))) 3))
(expm1.f64 (log1p.f64 (fma.f64 1/3 (pow.f64 N 3) (-.f64 N (fma.f64 1/4 (pow.f64 N 4) (*.f64 1/2 (pow.f64 N 2)))))))
(exp.f64 (log.f64 (fma.f64 1/3 (pow.f64 N 3) (-.f64 N (fma.f64 1/4 (pow.f64 N 4) (*.f64 1/2 (pow.f64 N 2)))))))
(exp.f64 (*.f64 (log.f64 (fma.f64 1/3 (pow.f64 N 3) (-.f64 N (fma.f64 1/4 (pow.f64 N 4) (*.f64 1/2 (pow.f64 N 2)))))) 1))
(log1p.f64 (expm1.f64 (fma.f64 1/3 (pow.f64 N 3) (-.f64 N (fma.f64 1/4 (pow.f64 N 4) (*.f64 1/2 (pow.f64 N 2)))))))
(fma.f64 1 (-.f64 N (fma.f64 1/4 (pow.f64 N 4) (*.f64 1/2 (pow.f64 N 2)))) (*.f64 1/3 (pow.f64 N 3)))
(fma.f64 1 (*.f64 1/3 (pow.f64 N 3)) (-.f64 N (fma.f64 1/4 (pow.f64 N 4) (*.f64 1/2 (pow.f64 N 2)))))
(fma.f64 1/3 (pow.f64 N 3) (-.f64 N (fma.f64 1/4 (pow.f64 N 4) (*.f64 1/2 (pow.f64 N 2)))))
(fma.f64 (pow.f64 (cbrt.f64 (-.f64 N (fma.f64 1/4 (pow.f64 N 4) (*.f64 1/2 (pow.f64 N 2))))) 2) (cbrt.f64 (-.f64 N (fma.f64 1/4 (pow.f64 N 4) (*.f64 1/2 (pow.f64 N 2))))) (*.f64 1/3 (pow.f64 N 3)))
(fma.f64 (pow.f64 (*.f64 (cbrt.f64 1/3) N) 2) (*.f64 (cbrt.f64 1/3) N) (-.f64 N (fma.f64 1/4 (pow.f64 N 4) (*.f64 1/2 (pow.f64 N 2)))))
(fma.f64 (sqrt.f64 (-.f64 N (fma.f64 1/4 (pow.f64 N 4) (*.f64 1/2 (pow.f64 N 2))))) (sqrt.f64 (-.f64 N (fma.f64 1/4 (pow.f64 N 4) (*.f64 1/2 (pow.f64 N 2))))) (*.f64 1/3 (pow.f64 N 3)))
(fma.f64 (*.f64 (sqrt.f64 1/3) (pow.f64 N 3/2)) (*.f64 (sqrt.f64 1/3) (pow.f64 N 3/2)) (-.f64 N (fma.f64 1/4 (pow.f64 N 4) (*.f64 1/2 (pow.f64 N 2)))))
Outputs
(/.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 N)
(/.f64 1 N)
(/.f64 1 N)
(/.f64 1 N)
(/.f64 1 N)
(/.f64 1 N)
(/.f64 1 N)
(/.f64 1 N)
(/.f64 1 N)
(/.f64 1 N)
(/.f64 1 N)
(/.f64 1 N)
(/.f64 1 N)
(-.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 1/8 (/.f64 1 (pow.f64 N 3))) (/.f64 1 N)) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(+.f64 (/.f64 1/8 (pow.f64 N 3)) (-.f64 (/.f64 1 N) (/.f64 1/2 (pow.f64 N 2))))
(+.f64 (/.f64 1/8 (pow.f64 N 3)) (+.f64 (/.f64 1 N) (/.f64 -1/2 (pow.f64 N 2))))
(-.f64 (+.f64 (*.f64 1/8 (/.f64 1 (pow.f64 N 3))) (/.f64 1 N)) (+.f64 (*.f64 1/48 (/.f64 1 (pow.f64 N 4))) (*.f64 1/2 (/.f64 1 (pow.f64 N 2)))))
(+.f64 (/.f64 1/8 (pow.f64 N 3)) (-.f64 (/.f64 1 N) (+.f64 (/.f64 1/2 (pow.f64 N 2)) (/.f64 1/48 (pow.f64 N 4)))))
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N
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N
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N
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N
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N
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N
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N
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N
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N
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N
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N
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(/.f64 (fma.f64 -1/3 (fma.f64 N N (*.f64 (fma.f64 1/4 (pow.f64 N 4) (*.f64 (pow.f64 N 2) 1/2)) (+.f64 N (fma.f64 1/4 (pow.f64 N 4) (*.f64 (pow.f64 N 2) 1/2))))) (*.f64 (pow.f64 N 3) (+.f64 (neg.f64 (pow.f64 N 3)) (pow.f64 (fma.f64 1/4 (pow.f64 N 4) (*.f64 (pow.f64 N 2) 1/2)) 3)))) (*.f64 (pow.f64 N 3) (neg.f64 (fma.f64 N N (*.f64 (fma.f64 1/4 (pow.f64 N 4) (*.f64 (pow.f64 N 2) 1/2)) (+.f64 N (fma.f64 1/4 (pow.f64 N 4) (*.f64 (pow.f64 N 2) 1/2))))))))
(/.f64 (+.f64 (*.f64 -1/3 (+.f64 N (fma.f64 1/4 (pow.f64 N 4) (*.f64 1/2 (pow.f64 N 2))))) (*.f64 (neg.f64 (pow.f64 N 3)) (-.f64 (pow.f64 N 2) (pow.f64 (fma.f64 1/4 (pow.f64 N 4) (*.f64 1/2 (pow.f64 N 2))) 2)))) (*.f64 (neg.f64 (pow.f64 N 3)) (+.f64 N (fma.f64 1/4 (pow.f64 N 4) (*.f64 1/2 (pow.f64 N 2))))))
(/.f64 (fma.f64 (-.f64 (pow.f64 N 2) (pow.f64 (fma.f64 1/4 (pow.f64 N 4) (*.f64 (pow.f64 N 2) 1/2)) 2)) (neg.f64 (pow.f64 N 3)) (*.f64 -1/3 (+.f64 N (fma.f64 1/4 (pow.f64 N 4) (*.f64 (pow.f64 N 2) 1/2))))) (*.f64 (neg.f64 (pow.f64 N 3)) (+.f64 N (fma.f64 1/4 (pow.f64 N 4) (*.f64 (pow.f64 N 2) 1/2)))))
(/.f64 (-.f64 (*.f64 -1/3 (+.f64 N (fma.f64 1/4 (pow.f64 N 4) (*.f64 (pow.f64 N 2) 1/2)))) (*.f64 (pow.f64 N 3) (-.f64 (pow.f64 N 2) (pow.f64 (fma.f64 1/4 (pow.f64 N 4) (*.f64 (pow.f64 N 2) 1/2)) 2)))) (*.f64 (pow.f64 N 3) (-.f64 (neg.f64 N) (fma.f64 1/4 (pow.f64 N 4) (*.f64 (pow.f64 N 2) 1/2)))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 1/3 (pow.f64 N 3)) 3) (pow.f64 (-.f64 N (fma.f64 1/4 (pow.f64 N 4) (*.f64 1/2 (pow.f64 N 2)))) 3))) (neg.f64 (+.f64 (/.f64 1/9 (pow.f64 N -6)) (-.f64 (pow.f64 (-.f64 N (fma.f64 1/4 (pow.f64 N 4) (*.f64 1/2 (pow.f64 N 2)))) 2) (*.f64 (*.f64 1/3 (pow.f64 N 3)) (-.f64 N (fma.f64 1/4 (pow.f64 N 4) (*.f64 1/2 (pow.f64 N 2)))))))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (-.f64 N (fma.f64 1/4 (pow.f64 N 4) (*.f64 (pow.f64 N 2) 1/2))) 3) (*.f64 1/27 (pow.f64 (pow.f64 N 3) 3)))) (neg.f64 (+.f64 (/.f64 1/9 (pow.f64 N -6)) (-.f64 (pow.f64 (-.f64 N (fma.f64 1/4 (pow.f64 N 4) (*.f64 (pow.f64 N 2) 1/2))) 2) (*.f64 (*.f64 (pow.f64 N 3) 1/3) (-.f64 N (fma.f64 1/4 (pow.f64 N 4) (*.f64 (pow.f64 N 2) 1/2))))))))
(/.f64 (-.f64 (*.f64 -1/27 (pow.f64 (pow.f64 N 3) 3)) (pow.f64 (-.f64 N (fma.f64 1/4 (pow.f64 N 4) (*.f64 (pow.f64 N 2) 1/2))) 3)) (-.f64 (/.f64 -1/9 (pow.f64 N -6)) (*.f64 (-.f64 N (fma.f64 1/4 (pow.f64 N 4) (*.f64 (pow.f64 N 2) 1/2))) (-.f64 (-.f64 N (fma.f64 1/4 (pow.f64 N 4) (*.f64 (pow.f64 N 2) 1/2))) (*.f64 (pow.f64 N 3) 1/3)))))
(/.f64 (neg.f64 (-.f64 (/.f64 1/9 (pow.f64 N -6)) (pow.f64 (-.f64 N (fma.f64 1/4 (pow.f64 N 4) (*.f64 1/2 (pow.f64 N 2)))) 2))) (neg.f64 (-.f64 (*.f64 1/3 (pow.f64 N 3)) (-.f64 N (fma.f64 1/4 (pow.f64 N 4) (*.f64 1/2 (pow.f64 N 2)))))))
(/.f64 (neg.f64 (-.f64 (/.f64 1/9 (pow.f64 N -6)) (pow.f64 (-.f64 N (fma.f64 1/4 (pow.f64 N 4) (*.f64 (pow.f64 N 2) 1/2))) 2))) (neg.f64 (+.f64 (-.f64 (*.f64 (pow.f64 N 3) 1/3) N) (fma.f64 1/4 (pow.f64 N 4) (*.f64 (pow.f64 N 2) 1/2)))))
(/.f64 (+.f64 (pow.f64 (-.f64 N (fma.f64 1/4 (pow.f64 N 4) (*.f64 1/2 (pow.f64 N 2)))) 3) (pow.f64 (*.f64 1/3 (pow.f64 N 3)) 3)) (+.f64 (pow.f64 (-.f64 N (fma.f64 1/4 (pow.f64 N 4) (*.f64 1/2 (pow.f64 N 2)))) 2) (-.f64 (/.f64 1/9 (pow.f64 N -6)) (*.f64 (-.f64 N (fma.f64 1/4 (pow.f64 N 4) (*.f64 1/2 (pow.f64 N 2)))) (*.f64 1/3 (pow.f64 N 3))))))
(/.f64 (+.f64 (pow.f64 (-.f64 N (fma.f64 1/4 (pow.f64 N 4) (*.f64 (pow.f64 N 2) 1/2))) 3) (*.f64 1/27 (pow.f64 (pow.f64 N 3) 3))) (+.f64 (pow.f64 (-.f64 N (fma.f64 1/4 (pow.f64 N 4) (*.f64 (pow.f64 N 2) 1/2))) 2) (-.f64 (/.f64 1/9 (pow.f64 N -6)) (*.f64 (*.f64 (pow.f64 N 3) 1/3) (-.f64 N (fma.f64 1/4 (pow.f64 N 4) (*.f64 (pow.f64 N 2) 1/2)))))))
(/.f64 (fma.f64 1/27 (pow.f64 (pow.f64 N 3) 3) (pow.f64 (-.f64 N (fma.f64 1/4 (pow.f64 N 4) (*.f64 (pow.f64 N 2) 1/2))) 3)) (+.f64 (pow.f64 (-.f64 N (fma.f64 1/4 (pow.f64 N 4) (*.f64 (pow.f64 N 2) 1/2))) 2) (+.f64 (/.f64 1/9 (pow.f64 N -6)) (*.f64 -1/3 (*.f64 (pow.f64 N 3) (-.f64 N (fma.f64 1/4 (pow.f64 N 4) (*.f64 (pow.f64 N 2) 1/2))))))))
(pow.f64 (fma.f64 1/3 (pow.f64 N 3) (-.f64 N (fma.f64 1/4 (pow.f64 N 4) (*.f64 1/2 (pow.f64 N 2))))) 1)
(fma.f64 1/3 (pow.f64 N 3) (-.f64 N (fma.f64 1/4 (pow.f64 N 4) (*.f64 (pow.f64 N 2) 1/2))))
(fma.f64 (pow.f64 N 3) 1/3 (-.f64 N (fma.f64 1/4 (pow.f64 N 4) (*.f64 (pow.f64 N 2) 1/2))))
(pow.f64 (cbrt.f64 (fma.f64 1/3 (pow.f64 N 3) (-.f64 N (fma.f64 1/4 (pow.f64 N 4) (*.f64 1/2 (pow.f64 N 2)))))) 3)
(fma.f64 1/3 (pow.f64 N 3) (-.f64 N (fma.f64 1/4 (pow.f64 N 4) (*.f64 (pow.f64 N 2) 1/2))))
(fma.f64 (pow.f64 N 3) 1/3 (-.f64 N (fma.f64 1/4 (pow.f64 N 4) (*.f64 (pow.f64 N 2) 1/2))))
(pow.f64 (pow.f64 (fma.f64 1/3 (pow.f64 N 3) (-.f64 N (fma.f64 1/4 (pow.f64 N 4) (*.f64 1/2 (pow.f64 N 2))))) 3) 1/3)
(fma.f64 1/3 (pow.f64 N 3) (-.f64 N (fma.f64 1/4 (pow.f64 N 4) (*.f64 (pow.f64 N 2) 1/2))))
(fma.f64 (pow.f64 N 3) 1/3 (-.f64 N (fma.f64 1/4 (pow.f64 N 4) (*.f64 (pow.f64 N 2) 1/2))))
(pow.f64 (sqrt.f64 (fma.f64 1/3 (pow.f64 N 3) (-.f64 N (fma.f64 1/4 (pow.f64 N 4) (*.f64 1/2 (pow.f64 N 2)))))) 2)
(fma.f64 1/3 (pow.f64 N 3) (-.f64 N (fma.f64 1/4 (pow.f64 N 4) (*.f64 (pow.f64 N 2) 1/2))))
(fma.f64 (pow.f64 N 3) 1/3 (-.f64 N (fma.f64 1/4 (pow.f64 N 4) (*.f64 (pow.f64 N 2) 1/2))))
(sqrt.f64 (pow.f64 (fma.f64 1/3 (pow.f64 N 3) (-.f64 N (fma.f64 1/4 (pow.f64 N 4) (*.f64 1/2 (pow.f64 N 2))))) 2))
(sqrt.f64 (pow.f64 (fma.f64 1/3 (pow.f64 N 3) (-.f64 N (fma.f64 1/4 (pow.f64 N 4) (*.f64 (pow.f64 N 2) 1/2)))) 2))
(fabs.f64 (fma.f64 (pow.f64 N 3) 1/3 (-.f64 N (fma.f64 1/4 (pow.f64 N 4) (*.f64 (pow.f64 N 2) 1/2)))))
(log.f64 (exp.f64 (fma.f64 1/3 (pow.f64 N 3) (-.f64 N (fma.f64 1/4 (pow.f64 N 4) (*.f64 1/2 (pow.f64 N 2)))))))
(fma.f64 1/3 (pow.f64 N 3) (-.f64 N (fma.f64 1/4 (pow.f64 N 4) (*.f64 (pow.f64 N 2) 1/2))))
(fma.f64 (pow.f64 N 3) 1/3 (-.f64 N (fma.f64 1/4 (pow.f64 N 4) (*.f64 (pow.f64 N 2) 1/2))))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 1/3 (pow.f64 N 3) (-.f64 N (fma.f64 1/4 (pow.f64 N 4) (*.f64 1/2 (pow.f64 N 2))))))))
(fma.f64 1/3 (pow.f64 N 3) (-.f64 N (fma.f64 1/4 (pow.f64 N 4) (*.f64 (pow.f64 N 2) 1/2))))
(fma.f64 (pow.f64 N 3) 1/3 (-.f64 N (fma.f64 1/4 (pow.f64 N 4) (*.f64 (pow.f64 N 2) 1/2))))
(cbrt.f64 (pow.f64 (fma.f64 1/3 (pow.f64 N 3) (-.f64 N (fma.f64 1/4 (pow.f64 N 4) (*.f64 1/2 (pow.f64 N 2))))) 3))
(fma.f64 1/3 (pow.f64 N 3) (-.f64 N (fma.f64 1/4 (pow.f64 N 4) (*.f64 (pow.f64 N 2) 1/2))))
(fma.f64 (pow.f64 N 3) 1/3 (-.f64 N (fma.f64 1/4 (pow.f64 N 4) (*.f64 (pow.f64 N 2) 1/2))))
(expm1.f64 (log1p.f64 (fma.f64 1/3 (pow.f64 N 3) (-.f64 N (fma.f64 1/4 (pow.f64 N 4) (*.f64 1/2 (pow.f64 N 2)))))))
(fma.f64 1/3 (pow.f64 N 3) (-.f64 N (fma.f64 1/4 (pow.f64 N 4) (*.f64 (pow.f64 N 2) 1/2))))
(fma.f64 (pow.f64 N 3) 1/3 (-.f64 N (fma.f64 1/4 (pow.f64 N 4) (*.f64 (pow.f64 N 2) 1/2))))
(exp.f64 (log.f64 (fma.f64 1/3 (pow.f64 N 3) (-.f64 N (fma.f64 1/4 (pow.f64 N 4) (*.f64 1/2 (pow.f64 N 2)))))))
(fma.f64 1/3 (pow.f64 N 3) (-.f64 N (fma.f64 1/4 (pow.f64 N 4) (*.f64 (pow.f64 N 2) 1/2))))
(fma.f64 (pow.f64 N 3) 1/3 (-.f64 N (fma.f64 1/4 (pow.f64 N 4) (*.f64 (pow.f64 N 2) 1/2))))
(exp.f64 (*.f64 (log.f64 (fma.f64 1/3 (pow.f64 N 3) (-.f64 N (fma.f64 1/4 (pow.f64 N 4) (*.f64 1/2 (pow.f64 N 2)))))) 1))
(fma.f64 1/3 (pow.f64 N 3) (-.f64 N (fma.f64 1/4 (pow.f64 N 4) (*.f64 (pow.f64 N 2) 1/2))))
(fma.f64 (pow.f64 N 3) 1/3 (-.f64 N (fma.f64 1/4 (pow.f64 N 4) (*.f64 (pow.f64 N 2) 1/2))))
(log1p.f64 (expm1.f64 (fma.f64 1/3 (pow.f64 N 3) (-.f64 N (fma.f64 1/4 (pow.f64 N 4) (*.f64 1/2 (pow.f64 N 2)))))))
(fma.f64 1/3 (pow.f64 N 3) (-.f64 N (fma.f64 1/4 (pow.f64 N 4) (*.f64 (pow.f64 N 2) 1/2))))
(fma.f64 (pow.f64 N 3) 1/3 (-.f64 N (fma.f64 1/4 (pow.f64 N 4) (*.f64 (pow.f64 N 2) 1/2))))
(fma.f64 1 (-.f64 N (fma.f64 1/4 (pow.f64 N 4) (*.f64 1/2 (pow.f64 N 2)))) (*.f64 1/3 (pow.f64 N 3)))
(+.f64 (-.f64 N (fma.f64 1/4 (pow.f64 N 4) (*.f64 (pow.f64 N 2) 1/2))) (*.f64 (pow.f64 N 3) 1/3))
(fma.f64 1 (*.f64 1/3 (pow.f64 N 3)) (-.f64 N (fma.f64 1/4 (pow.f64 N 4) (*.f64 1/2 (pow.f64 N 2)))))
(fma.f64 1/3 (pow.f64 N 3) (-.f64 N (fma.f64 1/4 (pow.f64 N 4) (*.f64 (pow.f64 N 2) 1/2))))
(fma.f64 (pow.f64 N 3) 1/3 (-.f64 N (fma.f64 1/4 (pow.f64 N 4) (*.f64 (pow.f64 N 2) 1/2))))
(fma.f64 1/3 (pow.f64 N 3) (-.f64 N (fma.f64 1/4 (pow.f64 N 4) (*.f64 1/2 (pow.f64 N 2)))))
(fma.f64 1/3 (pow.f64 N 3) (-.f64 N (fma.f64 1/4 (pow.f64 N 4) (*.f64 (pow.f64 N 2) 1/2))))
(fma.f64 (pow.f64 N 3) 1/3 (-.f64 N (fma.f64 1/4 (pow.f64 N 4) (*.f64 (pow.f64 N 2) 1/2))))
(fma.f64 (pow.f64 (cbrt.f64 (-.f64 N (fma.f64 1/4 (pow.f64 N 4) (*.f64 1/2 (pow.f64 N 2))))) 2) (cbrt.f64 (-.f64 N (fma.f64 1/4 (pow.f64 N 4) (*.f64 1/2 (pow.f64 N 2))))) (*.f64 1/3 (pow.f64 N 3)))
(+.f64 (-.f64 N (fma.f64 1/4 (pow.f64 N 4) (*.f64 (pow.f64 N 2) 1/2))) (*.f64 (pow.f64 N 3) 1/3))
(fma.f64 (pow.f64 (*.f64 (cbrt.f64 1/3) N) 2) (*.f64 (cbrt.f64 1/3) N) (-.f64 N (fma.f64 1/4 (pow.f64 N 4) (*.f64 1/2 (pow.f64 N 2)))))
(fma.f64 (pow.f64 (*.f64 N (cbrt.f64 1/3)) 2) (*.f64 N (cbrt.f64 1/3)) (-.f64 N (fma.f64 1/4 (pow.f64 N 4) (*.f64 (pow.f64 N 2) 1/2))))
(-.f64 (+.f64 (pow.f64 (*.f64 N (cbrt.f64 1/3)) 3) N) (fma.f64 1/4 (pow.f64 N 4) (*.f64 (pow.f64 N 2) 1/2)))
(fma.f64 (sqrt.f64 (-.f64 N (fma.f64 1/4 (pow.f64 N 4) (*.f64 1/2 (pow.f64 N 2))))) (sqrt.f64 (-.f64 N (fma.f64 1/4 (pow.f64 N 4) (*.f64 1/2 (pow.f64 N 2))))) (*.f64 1/3 (pow.f64 N 3)))
(+.f64 (-.f64 N (fma.f64 1/4 (pow.f64 N 4) (*.f64 (pow.f64 N 2) 1/2))) (*.f64 (pow.f64 N 3) 1/3))
(fma.f64 (*.f64 (sqrt.f64 1/3) (pow.f64 N 3/2)) (*.f64 (sqrt.f64 1/3) (pow.f64 N 3/2)) (-.f64 N (fma.f64 1/4 (pow.f64 N 4) (*.f64 1/2 (pow.f64 N 2)))))
(fma.f64 (*.f64 (sqrt.f64 1/3) (pow.f64 N 3/2)) (*.f64 (sqrt.f64 1/3) (pow.f64 N 3/2)) (-.f64 N (fma.f64 1/4 (pow.f64 N 4) (*.f64 (pow.f64 N 2) 1/2))))
(-.f64 (+.f64 (*.f64 (pow.f64 N 3) (*.f64 (sqrt.f64 1/3) (sqrt.f64 1/3))) N) (fma.f64 1/4 (pow.f64 N 4) (*.f64 (pow.f64 N 2) 1/2)))

eval464.0ms (4.5%)

Compiler

Compiled 21704 to 15853 computations (27% saved)

prune218.0ms (2.1%)

Pruning

42 alts after pruning (34 fresh and 8 done)

PrunedKeptTotal
New8667873
Fresh32730
Picked145
Done044
Total87042912
Accuracy
99.7%
Counts
912 → 42
Alt Table
Click to see full alt table
StatusAccuracyProgram
23.6%
(fma.f64 (pow.f64 (cbrt.f64 (log1p.f64 N)) 2) (cbrt.f64 (log1p.f64 N)) (neg.f64 (log.f64 N)))
24.3%
(fma.f64 (sqrt.f64 (log1p.f64 N)) (sqrt.f64 (log1p.f64 N)) (neg.f64 (log.f64 N)))
84.8%
(/.f64 (/.f64 (neg.f64 (*.f64 -2 (log.f64 N))) N) (*.f64 (neg.f64 (log.f64 N)) -2))
23.2%
(/.f64 (-.f64 (pow.f64 (log1p.f64 N) 2) (pow.f64 (log.f64 N) 2)) (+.f64 (log1p.f64 N) (log.f64 N)))
23.2%
(/.f64 (log.f64 (exp.f64 (-.f64 (pow.f64 (log1p.f64 N) 2) (pow.f64 (log.f64 N) 2)))) (+.f64 (log1p.f64 N) (log.f64 N)))
85.1%
(/.f64 1 N)
93.4%
(-.f64 (/.f64 1 N) (/.f64 1/2 (pow.f64 N 2)))
96.1%
(-.f64 (+.f64 (/.f64 1 N) (/.f64 1/3 (pow.f64 N 3))) (/.f64 1/2 (pow.f64 N 2)))
96.1%
(+.f64 (/.f64 1 N) (+.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 -1/2 (pow.f64 N 2))))
97.3%
(+.f64 (/.f64 1 N) (+.f64 (/.f64 1/3 (pow.f64 N 3)) (-.f64 (/.f64 -1/2 (pow.f64 N 2)) (/.f64 1/4 (pow.f64 N 4)))))
96.8%
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (pow.f64 (sqrt.f64 (-.f64 (/.f64 1 N) (fma.f64 1/4 (pow.f64 N -4) (*.f64 1/2 (pow.f64 N -2))))) 2))
97.4%
(+.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)))))
97.0%
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (+.f64 (/.f64 (-.f64 (pow.f64 N 2) (*.f64 N 1/2)) (pow.f64 N 3)) (/.f64 -1/4 (pow.f64 N 4))))
97.0%
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (+.f64 (/.f64 (*.f64 N (+.f64 N -1/2)) (pow.f64 N 3)) (/.f64 -1/4 (pow.f64 N 4))))
97.4%
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (+.f64 (-.f64 (/.f64 1 N) (/.f64 1/2 (pow.f64 N 2))) (/.f64 -1/4 (pow.f64 N 4))))
26.0%
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (log.f64 (exp.f64 (-.f64 (/.f64 1 N) (fma.f64 1/4 (pow.f64 N -4) (*.f64 1/2 (pow.f64 N -2)))))))
92.8%
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (exp.f64 (log.f64 (-.f64 (/.f64 1 N) (fma.f64 1/4 (pow.f64 N -4) (*.f64 1/2 (pow.f64 N -2)))))))
22.4%
(*.f64 (+.f64 (sqrt.f64 (log1p.f64 N)) (sqrt.f64 (log.f64 N))) (-.f64 (sqrt.f64 (log1p.f64 N)) (sqrt.f64 (log.f64 N))))
84.7%
(*.f64 3 (/.f64 1 (/.f64 N 1/3)))
84.8%
(*.f64 3 (/.f64 1/3 N))
93.0%
(*.f64 3 (-.f64 (/.f64 1/3 N) (/.f64 1/6 (pow.f64 N 2))))
97.0%
(*.f64 3 (-.f64 (+.f64 (/.f64 1/3 N) (/.f64 1/9 (pow.f64 N 3))) (+.f64 (/.f64 1/6 (pow.f64 N 2)) (/.f64 1/12 (pow.f64 N 4)))))
95.8%
(*.f64 3 (-.f64 (+.f64 (*.f64 1/9 (/.f64 1 (pow.f64 N 3))) (*.f64 1/3 (/.f64 1 N))) (*.f64 1/6 (/.f64 1 (pow.f64 N 2)))))
23.3%
(*.f64 3 (-.f64 (exp.f64 (log1p.f64 (*.f64 1/3 (-.f64 (log1p.f64 N) (log.f64 N))))) 1))
95.7%
(*.f64 3 (+.f64 (/.f64 1/3 N) (+.f64 (/.f64 1/9 (pow.f64 N 3)) (/.f64 -1/6 (pow.f64 N 2)))))
95.8%
(*.f64 3 (+.f64 (/.f64 1/9 (pow.f64 N 3)) (-.f64 (/.f64 1/3 N) (/.f64 1/6 (pow.f64 N 2)))))
24.6%
(*.f64 3 (log.f64 (pow.f64 (/.f64 (+.f64 N 1) N) 1/3)))
24.1%
(*.f64 3 (log.f64 (cbrt.f64 (/.f64 (+.f64 N 1) N))))
24.9%
(*.f64 2 (log.f64 (sqrt.f64 (/.f64 (+.f64 N 1) N))))
26.1%
(neg.f64 (log.f64 (/.f64 N (+.f64 N 1))))
25.7%
(log.f64 (/.f64 (+.f64 N 1) N))
9.9%
(exp.f64 (/.f64 -1/2 N))
92.8%
(exp.f64 (-.f64 (+.f64 (neg.f64 (log.f64 N)) (/.f64 5/24 (pow.f64 N 2))) (+.f64 (/.f64 1/2 N) (/.f64 1/8 (pow.f64 N 3)))))
89.2%
(exp.f64 (-.f64 (neg.f64 (log.f64 N)) (/.f64 1/2 N)))
89.3%
(exp.f64 (-.f64 (log.f64 (/.f64 1 N)) (*.f64 1/2 (/.f64 1 N))))
23.2%
(exp.f64 (-.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)))))
91.8%
(exp.f64 (+.f64 (-.f64 (/.f64 5/24 (pow.f64 N 2)) (log.f64 N)) (/.f64 -1/2 N)))
92.8%
(exp.f64 (+.f64 (-.f64 (-.f64 (/.f64 5/24 (pow.f64 N 2)) (log.f64 N)) (/.f64 1/8 (pow.f64 N 3))) (/.f64 -1/2 N)))
91.8%
(exp.f64 (+.f64 (neg.f64 (log.f64 N)) (-.f64 (/.f64 5/24 (pow.f64 N 2)) (/.f64 1/2 N))))
23.1%
(exp.f64 (log.f64 (fma.f64 (pow.f64 (cbrt.f64 (log1p.f64 N)) 2) (cbrt.f64 (log1p.f64 N)) (neg.f64 (log.f64 N)))))
25.7%
(exp.f64 (log.f64 (log.f64 (/.f64 (+.f64 N 1) N))))
8.3%
N
23.6%
(fma.f64 (pow.f64 (cbrt.f64 (log1p.f64 N)) 2) (cbrt.f64 (log1p.f64 N)) (neg.f64 (log.f64 N)))
24.3%
(fma.f64 (sqrt.f64 (log1p.f64 N)) (sqrt.f64 (log1p.f64 N)) (neg.f64 (log.f64 N)))
84.8%
(/.f64 (/.f64 (neg.f64 (*.f64 -2 (log.f64 N))) N) (*.f64 (neg.f64 (log.f64 N)) -2))
23.2%
(/.f64 (-.f64 (pow.f64 (log1p.f64 N) 2) (pow.f64 (log.f64 N) 2)) (+.f64 (log1p.f64 N) (log.f64 N)))
23.2%
(/.f64 (log.f64 (exp.f64 (-.f64 (pow.f64 (log1p.f64 N) 2) (pow.f64 (log.f64 N) 2)))) (+.f64 (log1p.f64 N) (log.f64 N)))
85.1%
(/.f64 1 N)
93.4%
(-.f64 (/.f64 1 N) (/.f64 1/2 (pow.f64 N 2)))
96.1%
(-.f64 (+.f64 (/.f64 1 N) (/.f64 1/3 (pow.f64 N 3))) (/.f64 1/2 (pow.f64 N 2)))
96.1%
(+.f64 (/.f64 1 N) (+.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 -1/2 (pow.f64 N 2))))
97.3%
(+.f64 (/.f64 1 N) (+.f64 (/.f64 1/3 (pow.f64 N 3)) (-.f64 (/.f64 -1/2 (pow.f64 N 2)) (/.f64 1/4 (pow.f64 N 4)))))
96.8%
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (pow.f64 (sqrt.f64 (-.f64 (/.f64 1 N) (fma.f64 1/4 (pow.f64 N -4) (*.f64 1/2 (pow.f64 N -2))))) 2))
97.4%
(+.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)))))
97.0%
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (+.f64 (/.f64 (-.f64 (pow.f64 N 2) (*.f64 N 1/2)) (pow.f64 N 3)) (/.f64 -1/4 (pow.f64 N 4))))
97.0%
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (+.f64 (/.f64 (*.f64 N (+.f64 N -1/2)) (pow.f64 N 3)) (/.f64 -1/4 (pow.f64 N 4))))
97.4%
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (+.f64 (-.f64 (/.f64 1 N) (/.f64 1/2 (pow.f64 N 2))) (/.f64 -1/4 (pow.f64 N 4))))
26.0%
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (log.f64 (exp.f64 (-.f64 (/.f64 1 N) (fma.f64 1/4 (pow.f64 N -4) (*.f64 1/2 (pow.f64 N -2)))))))
92.8%
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (exp.f64 (log.f64 (-.f64 (/.f64 1 N) (fma.f64 1/4 (pow.f64 N -4) (*.f64 1/2 (pow.f64 N -2)))))))
22.4%
(*.f64 (+.f64 (sqrt.f64 (log1p.f64 N)) (sqrt.f64 (log.f64 N))) (-.f64 (sqrt.f64 (log1p.f64 N)) (sqrt.f64 (log.f64 N))))
84.7%
(*.f64 3 (/.f64 1 (/.f64 N 1/3)))
84.8%
(*.f64 3 (/.f64 1/3 N))
93.0%
(*.f64 3 (-.f64 (/.f64 1/3 N) (/.f64 1/6 (pow.f64 N 2))))
97.0%
(*.f64 3 (-.f64 (+.f64 (/.f64 1/3 N) (/.f64 1/9 (pow.f64 N 3))) (+.f64 (/.f64 1/6 (pow.f64 N 2)) (/.f64 1/12 (pow.f64 N 4)))))
95.8%
(*.f64 3 (-.f64 (+.f64 (*.f64 1/9 (/.f64 1 (pow.f64 N 3))) (*.f64 1/3 (/.f64 1 N))) (*.f64 1/6 (/.f64 1 (pow.f64 N 2)))))
23.3%
(*.f64 3 (-.f64 (exp.f64 (log1p.f64 (*.f64 1/3 (-.f64 (log1p.f64 N) (log.f64 N))))) 1))
95.7%
(*.f64 3 (+.f64 (/.f64 1/3 N) (+.f64 (/.f64 1/9 (pow.f64 N 3)) (/.f64 -1/6 (pow.f64 N 2)))))
95.8%
(*.f64 3 (+.f64 (/.f64 1/9 (pow.f64 N 3)) (-.f64 (/.f64 1/3 N) (/.f64 1/6 (pow.f64 N 2)))))
24.6%
(*.f64 3 (log.f64 (pow.f64 (/.f64 (+.f64 N 1) N) 1/3)))
24.1%
(*.f64 3 (log.f64 (cbrt.f64 (/.f64 (+.f64 N 1) N))))
24.9%
(*.f64 2 (log.f64 (sqrt.f64 (/.f64 (+.f64 N 1) N))))
26.1%
(neg.f64 (log.f64 (/.f64 N (+.f64 N 1))))
25.7%
(log.f64 (/.f64 (+.f64 N 1) N))
9.9%
(exp.f64 (/.f64 -1/2 N))
92.8%
(exp.f64 (-.f64 (+.f64 (neg.f64 (log.f64 N)) (/.f64 5/24 (pow.f64 N 2))) (+.f64 (/.f64 1/2 N) (/.f64 1/8 (pow.f64 N 3)))))
89.2%
(exp.f64 (-.f64 (neg.f64 (log.f64 N)) (/.f64 1/2 N)))
89.3%
(exp.f64 (-.f64 (log.f64 (/.f64 1 N)) (*.f64 1/2 (/.f64 1 N))))
23.2%
(exp.f64 (-.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)))))
91.8%
(exp.f64 (+.f64 (-.f64 (/.f64 5/24 (pow.f64 N 2)) (log.f64 N)) (/.f64 -1/2 N)))
92.8%
(exp.f64 (+.f64 (-.f64 (-.f64 (/.f64 5/24 (pow.f64 N 2)) (log.f64 N)) (/.f64 1/8 (pow.f64 N 3))) (/.f64 -1/2 N)))
91.8%
(exp.f64 (+.f64 (neg.f64 (log.f64 N)) (-.f64 (/.f64 5/24 (pow.f64 N 2)) (/.f64 1/2 N))))
23.1%
(exp.f64 (log.f64 (fma.f64 (pow.f64 (cbrt.f64 (log1p.f64 N)) 2) (cbrt.f64 (log1p.f64 N)) (neg.f64 (log.f64 N)))))
25.7%
(exp.f64 (log.f64 (log.f64 (/.f64 (+.f64 N 1) N))))
8.3%
N
Compiler

Compiled 2274 to 1768 computations (22.3% saved)

localize308.0ms (3%)

Localize:

Found 17 expressions with local error:

NewAccuracyProgram
100.0%
(log1p.f64 N)
99.8%
(sqrt.f64 (log1p.f64 N))
24.3%
(fma.f64 (sqrt.f64 (log1p.f64 N)) (sqrt.f64 (log1p.f64 N)) (neg.f64 (log.f64 N)))
99.9%
(-.f64 (/.f64 5/24 (pow.f64 N 2)) (log.f64 N))
99.9%
(+.f64 (-.f64 (/.f64 5/24 (pow.f64 N 2)) (log.f64 N)) (/.f64 -1/2 N))
99.5%
(/.f64 5/24 (pow.f64 N 2))
95.2%
(exp.f64 (+.f64 (-.f64 (/.f64 5/24 (pow.f64 N 2)) (log.f64 N)) (/.f64 -1/2 N)))
100.0%
(pow.f64 (/.f64 (+.f64 N 1) N) 1/3)
99.6%
(*.f64 3 (log.f64 (pow.f64 (/.f64 (+.f64 N 1) N) 1/3)))
24.6%
(log.f64 (pow.f64 (/.f64 (+.f64 N 1) N) 1/3))
99.6%
(/.f64 1 (/.f64 N 1/3))
99.6%
(*.f64 3 (/.f64 1 (/.f64 N 1/3)))
99.3%
(/.f64 N 1/3)
99.8%
(+.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)))))
99.6%
(/.f64 -1/2 (pow.f64 N 2))
99.5%
(/.f64 1/4 (pow.f64 N 4))
99.4%
(/.f64 1/3 (pow.f64 N 3))
Compiler

Compiled 213 to 149 computations (30% saved)

series46.0ms (0.4%)

Counts
14 → 125
Calls

42 calls:

TimeVariablePointExpression
30.0ms
N
@inf
(exp.f64 (+.f64 (-.f64 (/.f64 5/24 (pow.f64 N 2)) (log.f64 N)) (/.f64 -1/2 N)))
3.0ms
N
@-inf
(fma.f64 (sqrt.f64 (log1p.f64 N)) (sqrt.f64 (log1p.f64 N)) (neg.f64 (log.f64 N)))
1.0ms
N
@inf
(fma.f64 (sqrt.f64 (log1p.f64 N)) (sqrt.f64 (log1p.f64 N)) (neg.f64 (log.f64 N)))
1.0ms
N
@inf
(sqrt.f64 (log1p.f64 N))
1.0ms
N
@-inf
(sqrt.f64 (log1p.f64 N))

rewrite132.0ms (1.3%)

Algorithm
batch-egg-rewrite
Rules
318×log1p-expm1-u
318×expm1-log1p-u
307×add-exp-log
299×add-log-exp
299×pow1
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
043396
1721336
Stop Event
node limit
Counts
14 → 332
Calls
Call 1
Inputs
(/.f64 -1/2 (pow.f64 N 2))
(+.f64 (/.f64 1 N) (+.f64 (/.f64 1/3 (pow.f64 N 3)) (-.f64 (/.f64 -1/2 (pow.f64 N 2)) (/.f64 1/4 (pow.f64 N 4)))))
(/.f64 N 1/3)
(*.f64 3 (/.f64 1 (/.f64 N 1/3)))
(/.f64 1 (/.f64 N 1/3))
(log.f64 (pow.f64 (/.f64 (+.f64 N 1) N) 1/3))
(*.f64 3 (log.f64 (pow.f64 (/.f64 (+.f64 N 1) N) 1/3)))
(pow.f64 (/.f64 (+.f64 N 1) N) 1/3)
(exp.f64 (+.f64 (-.f64 (/.f64 5/24 (pow.f64 N 2)) (log.f64 N)) (/.f64 -1/2 N)))
(/.f64 5/24 (pow.f64 N 2))
(+.f64 (-.f64 (/.f64 5/24 (pow.f64 N 2)) (log.f64 N)) (/.f64 -1/2 N))
(-.f64 (/.f64 5/24 (pow.f64 N 2)) (log.f64 N))
(fma.f64 (sqrt.f64 (log1p.f64 N)) (sqrt.f64 (log1p.f64 N)) (neg.f64 (log.f64 N)))
(sqrt.f64 (log1p.f64 N))
Outputs
(-.f64 (exp.f64 (log1p.f64 (*.f64 -1/2 (pow.f64 N 2)))) 1)
(*.f64 -1/2 (pow.f64 N 2))
(*.f64 1 (*.f64 -1/2 (pow.f64 N 2)))
(*.f64 1/2 (sqrt.f64 (pow.f64 N -4)))
(*.f64 (cbrt.f64 (*.f64 1/4 (pow.f64 N -4))) (cbrt.f64 (*.f64 -1/2 (pow.f64 N 2))))
(*.f64 (*.f64 (sqrt.f64 -1/2) N) (*.f64 (sqrt.f64 -1/2) N))
(*.f64 (sqrt.f64 (cbrt.f64 (/.f64 1/16 (pow.f64 N 8)))) (sqrt.f64 (cbrt.f64 (*.f64 1/4 (pow.f64 N -4)))))
(pow.f64 (*.f64 -1/2 (pow.f64 N 2)) 1)
(pow.f64 (*.f64 1/4 (pow.f64 N -4)) 1/2)
(pow.f64 (cbrt.f64 (*.f64 -1/2 (pow.f64 N 2))) 3)
(pow.f64 (*.f64 -1/8 (pow.f64 N 6)) 1/3)
(pow.f64 (*.f64 (sqrt.f64 -1/2) N) 2)
(pow.f64 (/.f64 (pow.f64 N 2) -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))))
(exp.f64 (log.f64 (*.f64 -1/2 (pow.f64 N 2))))
(exp.f64 (*.f64 (log.f64 (*.f64 -1/2 (pow.f64 N 2))) 1))
(log1p.f64 (expm1.f64 (*.f64 -1/2 (pow.f64 N 2))))
(-.f64 (exp.f64 (log1p.f64 (+.f64 N (-.f64 (fma.f64 1/3 (pow.f64 N 3) (*.f64 -1/2 (pow.f64 N 2))) (*.f64 1/4 (pow.f64 N -4)))))) 1)
(*.f64 1 (+.f64 N (-.f64 (fma.f64 1/3 (pow.f64 N 3) (*.f64 -1/2 (pow.f64 N 2))) (*.f64 1/4 (pow.f64 N -4)))))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 N (-.f64 (fma.f64 1/3 (pow.f64 N 3) (*.f64 -1/2 (pow.f64 N 2))) (*.f64 1/4 (pow.f64 N -4))))) 2) (cbrt.f64 (+.f64 N (-.f64 (fma.f64 1/3 (pow.f64 N 3) (*.f64 -1/2 (pow.f64 N 2))) (*.f64 1/4 (pow.f64 N -4))))))
(*.f64 (sqrt.f64 (+.f64 N (-.f64 (fma.f64 1/3 (pow.f64 N 3) (*.f64 -1/2 (pow.f64 N 2))) (*.f64 1/4 (pow.f64 N -4))))) (sqrt.f64 (+.f64 N (-.f64 (fma.f64 1/3 (pow.f64 N 3) (*.f64 -1/2 (pow.f64 N 2))) (*.f64 1/4 (pow.f64 N -4))))))
(/.f64 (+.f64 (pow.f64 N 3) (pow.f64 (-.f64 (fma.f64 1/3 (pow.f64 N 3) (*.f64 -1/2 (pow.f64 N 2))) (*.f64 1/4 (pow.f64 N -4))) 3)) (fma.f64 N N (-.f64 (pow.f64 (-.f64 (fma.f64 1/3 (pow.f64 N 3) (*.f64 -1/2 (pow.f64 N 2))) (*.f64 1/4 (pow.f64 N -4))) 2) (*.f64 N (-.f64 (fma.f64 1/3 (pow.f64 N 3) (*.f64 -1/2 (pow.f64 N 2))) (*.f64 1/4 (pow.f64 N -4)))))))
(/.f64 (-.f64 (pow.f64 N 2) (pow.f64 (-.f64 (fma.f64 1/3 (pow.f64 N 3) (*.f64 -1/2 (pow.f64 N 2))) (*.f64 1/4 (pow.f64 N -4))) 2)) (-.f64 N (-.f64 (fma.f64 1/3 (pow.f64 N 3) (*.f64 -1/2 (pow.f64 N 2))) (*.f64 1/4 (pow.f64 N -4)))))
(/.f64 (+.f64 (*.f64 1 (+.f64 (/.f64 1/9 (pow.f64 N 6)) (-.f64 (pow.f64 (-.f64 (*.f64 -1/2 (pow.f64 N 2)) (*.f64 1/4 (pow.f64 N -4))) 2) (*.f64 (*.f64 1/3 (pow.f64 N 3)) (-.f64 (*.f64 -1/2 (pow.f64 N 2)) (*.f64 1/4 (pow.f64 N -4))))))) (*.f64 N (+.f64 (*.f64 1/27 (pow.f64 (pow.f64 N 3) 3)) (pow.f64 (-.f64 (*.f64 -1/2 (pow.f64 N 2)) (*.f64 1/4 (pow.f64 N -4))) 3)))) (*.f64 N (+.f64 (/.f64 1/9 (pow.f64 N 6)) (-.f64 (pow.f64 (-.f64 (*.f64 -1/2 (pow.f64 N 2)) (*.f64 1/4 (pow.f64 N -4))) 2) (*.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 (*.f64 1 (-.f64 (*.f64 1/3 (pow.f64 N 3)) (-.f64 (*.f64 -1/2 (pow.f64 N 2)) (*.f64 1/4 (pow.f64 N -4))))) (*.f64 N (-.f64 (/.f64 1/9 (pow.f64 N 6)) (pow.f64 (-.f64 (*.f64 -1/2 (pow.f64 N 2)) (*.f64 1/4 (pow.f64 N -4))) 2)))) (*.f64 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 (*.f64 1 (+.f64 (/.f64 1/9 (pow.f64 N 6)) (-.f64 (pow.f64 (-.f64 (*.f64 -1/2 (pow.f64 N 2)) (*.f64 1/4 (pow.f64 N -4))) 2) (*.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 N 1) (+.f64 (*.f64 1/27 (pow.f64 (pow.f64 N 3) 3)) (pow.f64 (-.f64 (*.f64 -1/2 (pow.f64 N 2)) (*.f64 1/4 (pow.f64 N -4))) 3)))) (*.f64 (/.f64 N 1) (+.f64 (/.f64 1/9 (pow.f64 N 6)) (-.f64 (pow.f64 (-.f64 (*.f64 -1/2 (pow.f64 N 2)) (*.f64 1/4 (pow.f64 N -4))) 2) (*.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 (*.f64 1 (-.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 N 1) (-.f64 (/.f64 1/9 (pow.f64 N 6)) (pow.f64 (-.f64 (*.f64 -1/2 (pow.f64 N 2)) (*.f64 1/4 (pow.f64 N -4))) 2)))) (*.f64 (/.f64 N 1) (-.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 (*.f64 -1 (+.f64 (/.f64 1/9 (pow.f64 N 6)) (-.f64 (pow.f64 (-.f64 (*.f64 -1/2 (pow.f64 N 2)) (*.f64 1/4 (pow.f64 N -4))) 2) (*.f64 (*.f64 1/3 (pow.f64 N 3)) (-.f64 (*.f64 -1/2 (pow.f64 N 2)) (*.f64 1/4 (pow.f64 N -4))))))) (*.f64 (neg.f64 N) (+.f64 (*.f64 1/27 (pow.f64 (pow.f64 N 3) 3)) (pow.f64 (-.f64 (*.f64 -1/2 (pow.f64 N 2)) (*.f64 1/4 (pow.f64 N -4))) 3)))) (*.f64 (neg.f64 N) (+.f64 (/.f64 1/9 (pow.f64 N 6)) (-.f64 (pow.f64 (-.f64 (*.f64 -1/2 (pow.f64 N 2)) (*.f64 1/4 (pow.f64 N -4))) 2) (*.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 (*.f64 -1 (-.f64 (*.f64 1/3 (pow.f64 N 3)) (-.f64 (*.f64 -1/2 (pow.f64 N 2)) (*.f64 1/4 (pow.f64 N -4))))) (*.f64 (neg.f64 N) (-.f64 (/.f64 1/9 (pow.f64 N 6)) (pow.f64 (-.f64 (*.f64 -1/2 (pow.f64 N 2)) (*.f64 1/4 (pow.f64 N -4))) 2)))) (*.f64 (neg.f64 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 (*.f64 (+.f64 (*.f64 1/27 (pow.f64 (pow.f64 N 3) 3)) (pow.f64 (-.f64 (*.f64 -1/2 (pow.f64 N 2)) (*.f64 1/4 (pow.f64 N -4))) 3)) N) (*.f64 (+.f64 (/.f64 1/9 (pow.f64 N 6)) (-.f64 (pow.f64 (-.f64 (*.f64 -1/2 (pow.f64 N 2)) (*.f64 1/4 (pow.f64 N -4))) 2) (*.f64 (*.f64 1/3 (pow.f64 N 3)) (-.f64 (*.f64 -1/2 (pow.f64 N 2)) (*.f64 1/4 (pow.f64 N -4)))))) 1)) (*.f64 (+.f64 (/.f64 1/9 (pow.f64 N 6)) (-.f64 (pow.f64 (-.f64 (*.f64 -1/2 (pow.f64 N 2)) (*.f64 1/4 (pow.f64 N -4))) 2) (*.f64 (*.f64 1/3 (pow.f64 N 3)) (-.f64 (*.f64 -1/2 (pow.f64 N 2)) (*.f64 1/4 (pow.f64 N -4)))))) N))
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(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))))
(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))
(log1p.f64 (expm1.f64 (sqrt.f64 (log1p.f64 N))))

simplify184.0ms (1.8%)

Algorithm
egg-herbie
Rules
984×fma-def
792×associate-*l*
780×associate-*r*
524×associate-/r*
466×sqr-pow
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
090921973
1235720094
Stop Event
node limit
Counts
457 → 553
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 3 N)
(*.f64 3 N)
(*.f64 3 N)
(*.f64 3 N)
(*.f64 3 N)
(*.f64 3 N)
(*.f64 3 N)
(*.f64 3 N)
(*.f64 3 N)
(*.f64 3 N)
(*.f64 3 N)
(*.f64 3 N)
(/.f64 1 N)
(/.f64 1 N)
(/.f64 1 N)
(/.f64 1 N)
(/.f64 1 N)
(/.f64 1 N)
(/.f64 1 N)
(/.f64 1 N)
(/.f64 1 N)
(/.f64 1 N)
(/.f64 1 N)
(/.f64 1 N)
(/.f64 1/3 N)
(/.f64 1/3 N)
(/.f64 1/3 N)
(/.f64 1/3 N)
(/.f64 1/3 N)
(/.f64 1/3 N)
(/.f64 1/3 N)
(/.f64 1/3 N)
(/.f64 1/3 N)
(/.f64 1/3 N)
(/.f64 1/3 N)
(/.f64 1/3 N)
(/.f64 1/3 N)
(-.f64 (*.f64 1/3 (/.f64 1 N)) (*.f64 1/6 (/.f64 1 (pow.f64 N 2))))
(-.f64 (+.f64 (*.f64 1/9 (/.f64 1 (pow.f64 N 3))) (*.f64 1/3 (/.f64 1 N))) (*.f64 1/6 (/.f64 1 (pow.f64 N 2))))
(-.f64 (+.f64 (*.f64 1/9 (/.f64 1 (pow.f64 N 3))) (*.f64 1/3 (/.f64 1 N))) (+.f64 (*.f64 1/12 (/.f64 1 (pow.f64 N 4))) (*.f64 1/6 (/.f64 1 (pow.f64 N 2)))))
(/.f64 1/3 N)
(-.f64 (*.f64 1/3 (/.f64 1 N)) (*.f64 1/6 (/.f64 1 (pow.f64 N 2))))
(-.f64 (+.f64 (*.f64 1/9 (/.f64 1 (pow.f64 N 3))) (*.f64 1/3 (/.f64 1 N))) (*.f64 1/6 (/.f64 1 (pow.f64 N 2))))
(-.f64 (+.f64 (*.f64 1/9 (/.f64 1 (pow.f64 N 3))) (*.f64 1/3 (/.f64 1 N))) (+.f64 (*.f64 1/12 (/.f64 1 (pow.f64 N 4))) (*.f64 1/6 (/.f64 1 (pow.f64 N 2)))))
(/.f64 1 N)
(-.f64 (/.f64 1 N) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 N 3))) (/.f64 1 N)) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 N 3))) (/.f64 1 N)) (+.f64 (*.f64 1/4 (/.f64 1 (pow.f64 N 4))) (*.f64 1/2 (/.f64 1 (pow.f64 N 2)))))
(/.f64 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)))))
1
(+.f64 1 (*.f64 1/3 (/.f64 1 N)))
(-.f64 (+.f64 1 (*.f64 1/3 (/.f64 1 N))) (*.f64 1/9 (/.f64 1 (pow.f64 N 2))))
(-.f64 (+.f64 1 (+.f64 (*.f64 5/81 (/.f64 1 (pow.f64 N 3))) (*.f64 1/3 (/.f64 1 N)))) (*.f64 1/9 (/.f64 1 (pow.f64 N 2))))
1
(+.f64 1 (*.f64 1/3 (/.f64 1 N)))
(-.f64 (+.f64 1 (*.f64 1/3 (/.f64 1 N))) (*.f64 1/9 (/.f64 1 (pow.f64 N 2))))
(-.f64 (+.f64 1 (+.f64 (*.f64 5/81 (/.f64 1 (pow.f64 N 3))) (*.f64 1/3 (/.f64 1 N)))) (*.f64 1/9 (/.f64 1 (pow.f64 N 2))))
(exp.f64 (-.f64 (*.f64 5/24 (/.f64 1 (pow.f64 N 2))) (+.f64 (log.f64 N) (*.f64 1/2 (/.f64 1 N)))))
(exp.f64 (-.f64 (*.f64 5/24 (/.f64 1 (pow.f64 N 2))) (+.f64 (log.f64 N) (*.f64 1/2 (/.f64 1 N)))))
(exp.f64 (-.f64 (*.f64 5/24 (/.f64 1 (pow.f64 N 2))) (+.f64 (log.f64 N) (*.f64 1/2 (/.f64 1 N)))))
(exp.f64 (-.f64 (*.f64 5/24 (/.f64 1 (pow.f64 N 2))) (+.f64 (log.f64 N) (*.f64 1/2 (/.f64 1 N)))))
(exp.f64 (neg.f64 (*.f64 -1 (log.f64 (/.f64 1 N)))))
(+.f64 (exp.f64 (neg.f64 (*.f64 -1 (log.f64 (/.f64 1 N))))) (*.f64 -1/2 (/.f64 (exp.f64 (neg.f64 (*.f64 -1 (log.f64 (/.f64 1 N))))) N)))
(+.f64 (exp.f64 (neg.f64 (*.f64 -1 (log.f64 (/.f64 1 N))))) (+.f64 (*.f64 -1/2 (/.f64 (exp.f64 (neg.f64 (*.f64 -1 (log.f64 (/.f64 1 N))))) N)) (*.f64 1/3 (/.f64 (exp.f64 (neg.f64 (*.f64 -1 (log.f64 (/.f64 1 N))))) (pow.f64 N 2)))))
(+.f64 (exp.f64 (neg.f64 (*.f64 -1 (log.f64 (/.f64 1 N))))) (+.f64 (*.f64 -1/2 (/.f64 (exp.f64 (neg.f64 (*.f64 -1 (log.f64 (/.f64 1 N))))) N)) (+.f64 (*.f64 -1/8 (/.f64 (exp.f64 (neg.f64 (*.f64 -1 (log.f64 (/.f64 1 N))))) (pow.f64 N 3))) (*.f64 1/3 (/.f64 (exp.f64 (neg.f64 (*.f64 -1 (log.f64 (/.f64 1 N))))) (pow.f64 N 2))))))
(exp.f64 (neg.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 N))))))
(+.f64 (exp.f64 (neg.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 N)))))) (*.f64 -1/2 (/.f64 (exp.f64 (neg.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 N)))))) N)))
(+.f64 (exp.f64 (neg.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 N)))))) (+.f64 (*.f64 -1/2 (/.f64 (exp.f64 (neg.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 N)))))) N)) (*.f64 1/3 (/.f64 (exp.f64 (neg.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 N)))))) (pow.f64 N 2)))))
(+.f64 (exp.f64 (neg.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 N)))))) (+.f64 (*.f64 -1/2 (/.f64 (exp.f64 (neg.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 N)))))) N)) (+.f64 (*.f64 -1/8 (/.f64 (exp.f64 (neg.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 N)))))) (pow.f64 N 3))) (*.f64 1/3 (/.f64 (exp.f64 (neg.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 N)))))) (pow.f64 N 2))))))
(/.f64 5/24 (pow.f64 N 2))
(-.f64 (*.f64 5/24 (/.f64 1 (pow.f64 N 2))) (*.f64 1/2 (/.f64 1 N)))
(-.f64 (+.f64 (*.f64 -1 (log.f64 N)) (*.f64 5/24 (/.f64 1 (pow.f64 N 2)))) (*.f64 1/2 (/.f64 1 N)))
(-.f64 (+.f64 (*.f64 -1 (log.f64 N)) (*.f64 5/24 (/.f64 1 (pow.f64 N 2)))) (*.f64 1/2 (/.f64 1 N)))
(log.f64 (/.f64 1 N))
(-.f64 (log.f64 (/.f64 1 N)) (*.f64 1/2 (/.f64 1 N)))
(-.f64 (+.f64 (log.f64 (/.f64 1 N)) (*.f64 5/24 (/.f64 1 (pow.f64 N 2)))) (*.f64 1/2 (/.f64 1 N)))
(-.f64 (+.f64 (log.f64 (/.f64 1 N)) (*.f64 5/24 (/.f64 1 (pow.f64 N 2)))) (*.f64 1/2 (/.f64 1 N)))
(*.f64 -1 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 N)))))
(-.f64 (*.f64 -1 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 N))))) (*.f64 1/2 (/.f64 1 N)))
(-.f64 (+.f64 (*.f64 -1 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 N))))) (*.f64 5/24 (/.f64 1 (pow.f64 N 2)))) (*.f64 1/2 (/.f64 1 N)))
(-.f64 (+.f64 (*.f64 -1 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 N))))) (*.f64 5/24 (/.f64 1 (pow.f64 N 2)))) (*.f64 1/2 (/.f64 1 N)))
(/.f64 5/24 (pow.f64 N 2))
(+.f64 (*.f64 -1 (log.f64 N)) (*.f64 5/24 (/.f64 1 (pow.f64 N 2))))
(+.f64 (*.f64 -1 (log.f64 N)) (*.f64 5/24 (/.f64 1 (pow.f64 N 2))))
(+.f64 (*.f64 -1 (log.f64 N)) (*.f64 5/24 (/.f64 1 (pow.f64 N 2))))
(log.f64 (/.f64 1 N))
(+.f64 (log.f64 (/.f64 1 N)) (*.f64 5/24 (/.f64 1 (pow.f64 N 2))))
(+.f64 (log.f64 (/.f64 1 N)) (*.f64 5/24 (/.f64 1 (pow.f64 N 2))))
(+.f64 (log.f64 (/.f64 1 N)) (*.f64 5/24 (/.f64 1 (pow.f64 N 2))))
(*.f64 -1 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 N)))))
(+.f64 (*.f64 -1 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 N))))) (*.f64 5/24 (/.f64 1 (pow.f64 N 2))))
(+.f64 (*.f64 -1 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 N))))) (*.f64 5/24 (/.f64 1 (pow.f64 N 2))))
(+.f64 (*.f64 -1 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 N))))) (*.f64 5/24 (/.f64 1 (pow.f64 N 2))))
(*.f64 -1 (log.f64 N))
(-.f64 (*.f64 (log.f64 (/.f64 1 N)) (pow.f64 (sqrt.f64 -1) 2)) (*.f64 -1 (log.f64 (/.f64 1 N))))
(-.f64 (+.f64 (*.f64 (log.f64 (/.f64 1 N)) (pow.f64 (sqrt.f64 -1) 2)) (/.f64 1 N)) (*.f64 -1 (log.f64 (/.f64 1 N))))
(-.f64 (+.f64 (*.f64 -1 (/.f64 (+.f64 1/2 (pow.f64 (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (log.f64 (/.f64 1 N)))) (/.f64 1 (sqrt.f64 -1)))) 2)) (pow.f64 N 2))) (+.f64 (*.f64 (log.f64 (/.f64 1 N)) (pow.f64 (sqrt.f64 -1) 2)) (+.f64 (/.f64 1 N) (*.f64 1/4 (/.f64 1 (*.f64 (pow.f64 N 2) (*.f64 (log.f64 (/.f64 1 N)) (pow.f64 (sqrt.f64 -1) 2)))))))) (*.f64 -1 (log.f64 (/.f64 1 N))))
(-.f64 (+.f64 (*.f64 -1 (/.f64 (+.f64 1/2 (pow.f64 (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (log.f64 (/.f64 1 N)))) (/.f64 1 (sqrt.f64 -1)))) 2)) (pow.f64 N 2))) (+.f64 (*.f64 1/4 (/.f64 1 (*.f64 (pow.f64 N 2) (*.f64 (log.f64 (/.f64 1 N)) (pow.f64 (sqrt.f64 -1) 2))))) (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 N 3))) (+.f64 (*.f64 (log.f64 (/.f64 1 N)) (pow.f64 (sqrt.f64 -1) 2)) (/.f64 1 N))))) (*.f64 -1 (log.f64 (/.f64 1 N))))
(/.f64 1 N)
(+.f64 (*.f64 -1 (/.f64 (+.f64 1/2 (pow.f64 (*.f64 -1/2 (sqrt.f64 (/.f64 1 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 N))))))) 2)) (pow.f64 N 2))) (+.f64 (/.f64 1/4 (*.f64 (pow.f64 N 2) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 N)))))) (/.f64 1 N)))
(+.f64 (*.f64 -1 (/.f64 (+.f64 1/2 (pow.f64 (*.f64 -1/2 (sqrt.f64 (/.f64 1 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 N))))))) 2)) (pow.f64 N 2))) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 (+.f64 1/3 (*.f64 1/2 (/.f64 (+.f64 1/2 (pow.f64 (*.f64 -1/2 (sqrt.f64 (/.f64 1 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 N))))))) 2)) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 N)))))))) (*.f64 1/2 (/.f64 (+.f64 1/2 (pow.f64 (*.f64 -1/2 (sqrt.f64 (/.f64 1 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 N))))))) 2)) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 N))))))) (pow.f64 N 3))) (+.f64 (/.f64 1 N) (*.f64 1/4 (/.f64 1 (*.f64 (pow.f64 N 2) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 N))))))))))
(+.f64 (*.f64 -1 (/.f64 (+.f64 1/4 (+.f64 (*.f64 1/2 (/.f64 (+.f64 1/3 (*.f64 1/2 (/.f64 (+.f64 1/2 (pow.f64 (*.f64 -1/2 (sqrt.f64 (/.f64 1 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 N))))))) 2)) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 N))))))) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 N)))))) (pow.f64 (*.f64 -1/2 (*.f64 (+.f64 1/2 (pow.f64 (*.f64 -1/2 (sqrt.f64 (/.f64 1 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 N))))))) 2)) (sqrt.f64 (/.f64 1 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 N)))))))) 2))) (pow.f64 N 4))) (+.f64 (*.f64 -1 (/.f64 (+.f64 1/2 (pow.f64 (*.f64 -1/2 (sqrt.f64 (/.f64 1 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 N))))))) 2)) (pow.f64 N 2))) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 (+.f64 1/3 (*.f64 1/2 (/.f64 (+.f64 1/2 (pow.f64 (*.f64 -1/2 (sqrt.f64 (/.f64 1 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 N))))))) 2)) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 N)))))))) (*.f64 1/2 (/.f64 (+.f64 1/2 (pow.f64 (*.f64 -1/2 (sqrt.f64 (/.f64 1 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 N))))))) 2)) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 N))))))) (pow.f64 N 3))) (+.f64 (*.f64 1/4 (/.f64 (pow.f64 (+.f64 1/2 (pow.f64 (*.f64 -1/2 (sqrt.f64 (/.f64 1 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 N))))))) 2)) 2) (*.f64 (pow.f64 N 4) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 N))))))) (+.f64 (*.f64 1/2 (/.f64 (+.f64 1/3 (*.f64 1/2 (/.f64 (+.f64 1/2 (pow.f64 (*.f64 -1/2 (sqrt.f64 (/.f64 1 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 N))))))) 2)) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 N))))))) (*.f64 (pow.f64 N 4) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 N))))))) (+.f64 (/.f64 1 N) (*.f64 1/4 (/.f64 1 (*.f64 (pow.f64 N 2) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 N)))))))))))))
(*.f64 (sqrt.f64 (log.f64 (/.f64 1 N))) (sqrt.f64 -1))
(+.f64 (*.f64 1/2 (*.f64 (/.f64 1 (*.f64 N (sqrt.f64 -1))) (sqrt.f64 (/.f64 1 (log.f64 (/.f64 1 N)))))) (*.f64 (sqrt.f64 (log.f64 (/.f64 1 N))) (sqrt.f64 -1)))
(+.f64 (*.f64 -1/2 (*.f64 (/.f64 (+.f64 1/2 (pow.f64 (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (log.f64 (/.f64 1 N)))) (/.f64 1 (sqrt.f64 -1)))) 2)) (*.f64 (pow.f64 N 2) (sqrt.f64 -1))) (sqrt.f64 (/.f64 1 (log.f64 (/.f64 1 N)))))) (+.f64 (*.f64 1/2 (*.f64 (/.f64 1 (*.f64 N (sqrt.f64 -1))) (sqrt.f64 (/.f64 1 (log.f64 (/.f64 1 N)))))) (*.f64 (sqrt.f64 (log.f64 (/.f64 1 N))) (sqrt.f64 -1))))
(+.f64 (*.f64 -1/2 (*.f64 (/.f64 (+.f64 1/2 (pow.f64 (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (log.f64 (/.f64 1 N)))) (/.f64 1 (sqrt.f64 -1)))) 2)) (*.f64 (pow.f64 N 2) (sqrt.f64 -1))) (sqrt.f64 (/.f64 1 (log.f64 (/.f64 1 N)))))) (+.f64 (*.f64 1/2 (*.f64 (/.f64 1 (*.f64 N (sqrt.f64 -1))) (sqrt.f64 (/.f64 1 (log.f64 (/.f64 1 N)))))) (+.f64 (*.f64 1/2 (*.f64 (/.f64 (-.f64 1/3 (*.f64 -1/2 (/.f64 (+.f64 1/2 (pow.f64 (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (log.f64 (/.f64 1 N)))) (/.f64 1 (sqrt.f64 -1)))) 2)) (*.f64 (log.f64 (/.f64 1 N)) (pow.f64 (sqrt.f64 -1) 2))))) (*.f64 (pow.f64 N 3) (sqrt.f64 -1))) (sqrt.f64 (/.f64 1 (log.f64 (/.f64 1 N)))))) (*.f64 (sqrt.f64 (log.f64 (/.f64 1 N))) (sqrt.f64 -1)))))
(sqrt.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 N)))))
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(fma.f64 (*.f64 (sqrt.f64 5/24) N) (*.f64 (sqrt.f64 5/24) N) (neg.f64 (-.f64 (log.f64 N) (*.f64 -1/2 N))))
(fma.f64 (sqrt.f64 (*.f64 -1/2 N)) (sqrt.f64 (*.f64 -1/2 N)) (fma.f64 5/24 (pow.f64 N 2) (log.f64 N)))
(fma.f64 (sqrt.f64 (fma.f64 5/24 (pow.f64 N 2) (log.f64 N))) (sqrt.f64 (fma.f64 5/24 (pow.f64 N 2) (log.f64 N))) (*.f64 -1/2 N))
(+.f64 (*.f64 5/24 (pow.f64 N 2)) (log.f64 N))
(+.f64 (fma.f64 5/24 (pow.f64 N 2) (log.f64 N)) (fma.f64 (neg.f64 (sqrt.f64 (log.f64 N))) (sqrt.f64 (log.f64 N)) (log.f64 N)))
(+.f64 (fma.f64 1 (*.f64 5/24 (pow.f64 N 2)) (neg.f64 (*.f64 (log.f64 N) 1))) (fma.f64 (log.f64 N) 1 (*.f64 (log.f64 N) 1)))
(+.f64 (fma.f64 1 (*.f64 5/24 (pow.f64 N 2)) (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 5/24 (pow.f64 N 2) (neg.f64 (*.f64 (log.f64 N) 1))) (fma.f64 (log.f64 N) 1 (*.f64 (log.f64 N) 1)))
(+.f64 (fma.f64 5/24 (pow.f64 N 2) (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 (cbrt.f64 (/.f64 25/576 (pow.f64 N 4))) (cbrt.f64 (*.f64 5/24 (pow.f64 N 2))) (neg.f64 (*.f64 (log.f64 N) 1))) (fma.f64 (log.f64 N) 1 (*.f64 (log.f64 N) 1)))
(+.f64 (fma.f64 (cbrt.f64 (/.f64 25/576 (pow.f64 N 4))) (cbrt.f64 (*.f64 5/24 (pow.f64 N 2))) (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 (*.f64 (sqrt.f64 5/24) N) (*.f64 (sqrt.f64 5/24) N) (neg.f64 (*.f64 (log.f64 N) 1))) (fma.f64 (log.f64 N) 1 (*.f64 (log.f64 N) 1)))
(+.f64 (fma.f64 (*.f64 (sqrt.f64 5/24) N) (*.f64 (sqrt.f64 5/24) 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 1 (fma.f64 5/24 (pow.f64 N 2) (log.f64 N)))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 5/24 (pow.f64 N 2) (log.f64 N))) 2) (cbrt.f64 (fma.f64 5/24 (pow.f64 N 2) (log.f64 N))))
(*.f64 (sqrt.f64 (fma.f64 5/24 (pow.f64 N 2) (log.f64 N))) (sqrt.f64 (fma.f64 5/24 (pow.f64 N 2) (log.f64 N))))
(/.f64 (-.f64 (*.f64 125/13824 (pow.f64 N 6)) (pow.f64 (log.f64 N) 3)) (+.f64 (/.f64 25/576 (pow.f64 N 4)) (+.f64 (pow.f64 (log.f64 N) 2) (*.f64 (*.f64 5/24 (pow.f64 N 2)) (log.f64 N)))))
(/.f64 (-.f64 (/.f64 25/576 (pow.f64 N 4)) (pow.f64 (log.f64 N) 2)) (fma.f64 5/24 (pow.f64 N 2) (log.f64 N)))
(pow.f64 (fma.f64 5/24 (pow.f64 N 2) (log.f64 N)) 1)
(pow.f64 (cbrt.f64 (fma.f64 5/24 (pow.f64 N 2) (log.f64 N))) 3)
(pow.f64 (pow.f64 (fma.f64 5/24 (pow.f64 N 2) (log.f64 N)) 3) 1/3)
(pow.f64 (sqrt.f64 (fma.f64 5/24 (pow.f64 N 2) (log.f64 N))) 2)
(sqrt.f64 (pow.f64 (fma.f64 5/24 (pow.f64 N 2) (log.f64 N)) 2))
(log.f64 (*.f64 (pow.f64 (exp.f64 5/24) (pow.f64 N 2)) N))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 5/24 (pow.f64 N 2) (log.f64 N)))))
(cbrt.f64 (pow.f64 (fma.f64 5/24 (pow.f64 N 2) (log.f64 N)) 3))
(expm1.f64 (log1p.f64 (fma.f64 5/24 (pow.f64 N 2) (log.f64 N))))
(exp.f64 (log.f64 (fma.f64 5/24 (pow.f64 N 2) (log.f64 N))))
(exp.f64 (*.f64 (log.f64 (fma.f64 5/24 (pow.f64 N 2) (log.f64 N))) 1))
(log1p.f64 (expm1.f64 (fma.f64 5/24 (pow.f64 N 2) (log.f64 N))))
(fma.f64 1 (*.f64 5/24 (pow.f64 N 2)) (log.f64 N))
(fma.f64 5/24 (pow.f64 N 2) (log.f64 N))
(fma.f64 (cbrt.f64 (/.f64 25/576 (pow.f64 N 4))) (cbrt.f64 (*.f64 5/24 (pow.f64 N 2))) (log.f64 N))
(fma.f64 (*.f64 (sqrt.f64 5/24) N) (*.f64 (sqrt.f64 5/24) N) (log.f64 N))
(+.f64 (log1p.f64 N) (log.f64 N))
(+.f64 0 (+.f64 (log1p.f64 N) (log.f64 N)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (*.f64 (+.f64 N 1) N)) 2)) (*.f64 1/3 (+.f64 (log1p.f64 N) (log.f64 N))))
(+.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 3 (*.f64 1/3 (+.f64 (log1p.f64 N) (log.f64 N))))
(*.f64 (*.f64 1/3 (+.f64 (log1p.f64 N) (log.f64 N))) 3)
(*.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))))
(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))))
(exp.f64 (log.f64 (+.f64 (log1p.f64 N) (log.f64 N))))
(exp.f64 (*.f64 (log.f64 (+.f64 (log1p.f64 N) (log.f64 N))) 1))
(log1p.f64 (-.f64 (*.f64 (+.f64 N 1) N) 1))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (log1p.f64 N)))) 1)
(*.f64 1 (sqrt.f64 (log1p.f64 N)))
(*.f64 (cbrt.f64 (log1p.f64 N)) (cbrt.f64 (sqrt.f64 (log1p.f64 N))))
(*.f64 (pow.f64 (log1p.f64 N) 1/4) (pow.f64 (log1p.f64 N) 1/4))
(*.f64 (pow.f64 1 1/2) (sqrt.f64 (log1p.f64 N)))
(*.f64 (pow.f64 (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 (pow.f64 (log1p.f64 N) 1/4) 2)
(fabs.f64 (sqrt.f64 (log1p.f64 N)))
(log.f64 (exp.f64 (sqrt.f64 (log1p.f64 N))))
(log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (log1p.f64 N)))))
(cbrt.f64 (pow.f64 (log1p.f64 N) 3/2))
(expm1.f64 (log1p.f64 (sqrt.f64 (log1p.f64 N))))
(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))
(log1p.f64 (expm1.f64 (sqrt.f64 (log1p.f64 N))))
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 (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 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 1 N) (/.f64 -1/2 (pow.f64 N 2)))
(-.f64 (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 N 3))) (/.f64 1 N)) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (-.f64 (/.f64 1 N) (/.f64 1/2 (pow.f64 N 2))))
(+.f64 (/.f64 1 N) (-.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 1/2 (pow.f64 N 2))))
(-.f64 (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 N 3))) (/.f64 1 N)) (+.f64 (*.f64 1/4 (/.f64 1 (pow.f64 N 4))) (*.f64 1/2 (/.f64 1 (pow.f64 N 2)))))
(-.f64 (+.f64 (/.f64 1/3 (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 1 N) (/.f64 -1/2 (pow.f64 N 2)))
(-.f64 (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 N 3))) (/.f64 1 N)) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (-.f64 (/.f64 1 N) (/.f64 1/2 (pow.f64 N 2))))
(+.f64 (/.f64 1 N) (-.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 1/2 (pow.f64 N 2))))
(-.f64 (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 N 3))) (/.f64 1 N)) (+.f64 (*.f64 1/4 (/.f64 1 (pow.f64 N 4))) (*.f64 1/2 (/.f64 1 (pow.f64 N 2)))))
(-.f64 (+.f64 (/.f64 1/3 (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 3 N)
(*.f64 N 3)
(*.f64 3 N)
(*.f64 N 3)
(*.f64 3 N)
(*.f64 N 3)
(*.f64 3 N)
(*.f64 N 3)
(*.f64 3 N)
(*.f64 N 3)
(*.f64 3 N)
(*.f64 N 3)
(*.f64 3 N)
(*.f64 N 3)
(*.f64 3 N)
(*.f64 N 3)
(*.f64 3 N)
(*.f64 N 3)
(*.f64 3 N)
(*.f64 N 3)
(*.f64 3 N)
(*.f64 N 3)
(*.f64 3 N)
(*.f64 N 3)
(/.f64 1 N)
(/.f64 1 N)
(/.f64 1 N)
(/.f64 1 N)
(/.f64 1 N)
(/.f64 1 N)
(/.f64 1 N)
(/.f64 1 N)
(/.f64 1 N)
(/.f64 1 N)
(/.f64 1 N)
(/.f64 1 N)
(/.f64 1/3 N)
(/.f64 1/3 N)
(/.f64 1/3 N)
(/.f64 1/3 N)
(/.f64 1/3 N)
(/.f64 1/3 N)
(/.f64 1/3 N)
(/.f64 1/3 N)
(/.f64 1/3 N)
(/.f64 1/3 N)
(/.f64 1/3 N)
(/.f64 1/3 N)
(/.f64 1/3 N)
(-.f64 (*.f64 1/3 (/.f64 1 N)) (*.f64 1/6 (/.f64 1 (pow.f64 N 2))))
(-.f64 (/.f64 1/3 N) (/.f64 1/6 (pow.f64 N 2)))
(+.f64 (/.f64 1/3 N) (/.f64 -1/6 (pow.f64 N 2)))
(-.f64 (+.f64 (*.f64 1/9 (/.f64 1 (pow.f64 N 3))) (*.f64 1/3 (/.f64 1 N))) (*.f64 1/6 (/.f64 1 (pow.f64 N 2))))
(+.f64 (/.f64 1/9 (pow.f64 N 3)) (-.f64 (/.f64 1/3 N) (/.f64 1/6 (pow.f64 N 2))))
(+.f64 (/.f64 1/3 N) (+.f64 (/.f64 1/9 (pow.f64 N 3)) (/.f64 -1/6 (pow.f64 N 2))))
(-.f64 (+.f64 (*.f64 1/9 (/.f64 1 (pow.f64 N 3))) (*.f64 1/3 (/.f64 1 N))) (+.f64 (*.f64 1/12 (/.f64 1 (pow.f64 N 4))) (*.f64 1/6 (/.f64 1 (pow.f64 N 2)))))
(+.f64 (/.f64 1/9 (pow.f64 N 3)) (-.f64 (/.f64 1/3 N) (+.f64 (/.f64 1/6 (pow.f64 N 2)) (/.f64 1/12 (pow.f64 N 4)))))
(+.f64 (/.f64 1/3 N) (-.f64 (/.f64 1/9 (pow.f64 N 3)) (+.f64 (/.f64 1/6 (pow.f64 N 2)) (/.f64 1/12 (pow.f64 N 4)))))
(/.f64 1/3 N)
(-.f64 (*.f64 1/3 (/.f64 1 N)) (*.f64 1/6 (/.f64 1 (pow.f64 N 2))))
(-.f64 (/.f64 1/3 N) (/.f64 1/6 (pow.f64 N 2)))
(+.f64 (/.f64 1/3 N) (/.f64 -1/6 (pow.f64 N 2)))
(-.f64 (+.f64 (*.f64 1/9 (/.f64 1 (pow.f64 N 3))) (*.f64 1/3 (/.f64 1 N))) (*.f64 1/6 (/.f64 1 (pow.f64 N 2))))
(+.f64 (/.f64 1/9 (pow.f64 N 3)) (-.f64 (/.f64 1/3 N) (/.f64 1/6 (pow.f64 N 2))))
(+.f64 (/.f64 1/3 N) (+.f64 (/.f64 1/9 (pow.f64 N 3)) (/.f64 -1/6 (pow.f64 N 2))))
(-.f64 (+.f64 (*.f64 1/9 (/.f64 1 (pow.f64 N 3))) (*.f64 1/3 (/.f64 1 N))) (+.f64 (*.f64 1/12 (/.f64 1 (pow.f64 N 4))) (*.f64 1/6 (/.f64 1 (pow.f64 N 2)))))
(+.f64 (/.f64 1/9 (pow.f64 N 3)) (-.f64 (/.f64 1/3 N) (+.f64 (/.f64 1/6 (pow.f64 N 2)) (/.f64 1/12 (pow.f64 N 4)))))
(+.f64 (/.f64 1/3 N) (-.f64 (/.f64 1/9 (pow.f64 N 3)) (+.f64 (/.f64 1/6 (pow.f64 N 2)) (/.f64 1/12 (pow.f64 N 4)))))
(/.f64 1 N)
(-.f64 (/.f64 1 N) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (/.f64 1 N) (/.f64 1/2 (pow.f64 N 2)))
(+.f64 (/.f64 1 N) (/.f64 -1/2 (pow.f64 N 2)))
(-.f64 (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 N 3))) (/.f64 1 N)) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (-.f64 (/.f64 1 N) (/.f64 1/2 (pow.f64 N 2))))
(+.f64 (/.f64 1 N) (-.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 1/2 (pow.f64 N 2))))
(-.f64 (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 N 3))) (/.f64 1 N)) (+.f64 (*.f64 1/4 (/.f64 1 (pow.f64 N 4))) (*.f64 1/2 (/.f64 1 (pow.f64 N 2)))))
(-.f64 (+.f64 (/.f64 1/3 (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 1 N) (/.f64 -1/2 (pow.f64 N 2)))
(-.f64 (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 N 3))) (/.f64 1 N)) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (-.f64 (/.f64 1 N) (/.f64 1/2 (pow.f64 N 2))))
(+.f64 (/.f64 1 N) (-.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 1/2 (pow.f64 N 2))))
(-.f64 (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 N 3))) (/.f64 1 N)) (+.f64 (*.f64 1/4 (/.f64 1 (pow.f64 N 4))) (*.f64 1/2 (/.f64 1 (pow.f64 N 2)))))
(-.f64 (+.f64 (/.f64 1/3 (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)))))
1
(+.f64 1 (*.f64 1/3 (/.f64 1 N)))
(+.f64 1 (/.f64 1/3 N))
(-.f64 (+.f64 1 (*.f64 1/3 (/.f64 1 N))) (*.f64 1/9 (/.f64 1 (pow.f64 N 2))))
(+.f64 1 (-.f64 (/.f64 1/3 N) (/.f64 1/9 (pow.f64 N 2))))
(+.f64 1 (+.f64 (/.f64 1/3 N) (/.f64 -1/9 (pow.f64 N 2))))
(-.f64 (+.f64 1 (+.f64 (*.f64 5/81 (/.f64 1 (pow.f64 N 3))) (*.f64 1/3 (/.f64 1 N)))) (*.f64 1/9 (/.f64 1 (pow.f64 N 2))))
(-.f64 (+.f64 1 (+.f64 (/.f64 1/3 N) (/.f64 5/81 (pow.f64 N 3)))) (/.f64 1/9 (pow.f64 N 2)))
(+.f64 1 (+.f64 (/.f64 5/81 (pow.f64 N 3)) (+.f64 (/.f64 1/3 N) (/.f64 -1/9 (pow.f64 N 2)))))
1
(+.f64 1 (*.f64 1/3 (/.f64 1 N)))
(+.f64 1 (/.f64 1/3 N))
(-.f64 (+.f64 1 (*.f64 1/3 (/.f64 1 N))) (*.f64 1/9 (/.f64 1 (pow.f64 N 2))))
(+.f64 1 (-.f64 (/.f64 1/3 N) (/.f64 1/9 (pow.f64 N 2))))
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(+.f64 N (+.f64 (fma.f64 1/3 (pow.f64 N 3) (*.f64 (pow.f64 N 2) -1/2)) (*.f64 -1/4 (pow.f64 N -4))))
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(log.f64 (+.f64 1 (expm1.f64 (*.f64 N 3))))
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(*.f64 N 3)
(-.f64 (exp.f64 (log1p.f64 (*.f64 3 (*.f64 N 1/3)))) 1)
(*.f64 3 (*.f64 N 1/3))
N
(/.f64 3 (*.f64 N 3))
(/.f64 1 N)
(pow.f64 (*.f64 3 (*.f64 N 1/3)) 1)
(*.f64 3 (*.f64 N 1/3))
N
(pow.f64 (cbrt.f64 (*.f64 3 (*.f64 N 1/3))) 3)
(*.f64 3 (*.f64 N 1/3))
N
(pow.f64 (pow.f64 (*.f64 3 (*.f64 N 1/3)) 3) 1/3)
(*.f64 3 (*.f64 N 1/3))
N
(pow.f64 (sqrt.f64 (*.f64 3 (*.f64 N 1/3))) 2)
(*.f64 3 (*.f64 N 1/3))
N
(sqrt.f64 (/.f64 9 (/.f64 (pow.f64 N 2) 1/9)))
(sqrt.f64 (*.f64 (/.f64 9 (pow.f64 N 2)) 1/9))
(sqrt.f64 (/.f64 1 (pow.f64 N 2)))
(log.f64 (pow.f64 (exp.f64 3) (*.f64 N 1/3)))
(*.f64 3 (*.f64 N 1/3))
N
(log.f64 (+.f64 1 (expm1.f64 (*.f64 3 (*.f64 N 1/3)))))
(*.f64 3 (*.f64 N 1/3))
N
(cbrt.f64 (pow.f64 (*.f64 3 (*.f64 N 1/3)) 3))
(*.f64 3 (*.f64 N 1/3))
N
(expm1.f64 (log1p.f64 (*.f64 3 (*.f64 N 1/3))))
(*.f64 3 (*.f64 N 1/3))
N
(exp.f64 (log.f64 (*.f64 3 (*.f64 N 1/3))))
(*.f64 3 (*.f64 N 1/3))
N
(exp.f64 (*.f64 (log.f64 (*.f64 3 (*.f64 N 1/3))) 1))
(*.f64 3 (*.f64 N 1/3))
N
(log1p.f64 (expm1.f64 (*.f64 3 (*.f64 N 1/3))))
(*.f64 3 (*.f64 N 1/3))
N
(-.f64 (exp.f64 (log1p.f64 (*.f64 N 1/3))) 1)
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(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (*.f64 N 3)) 2) -1) (pow.f64 (cbrt.f64 (*.f64 N 3)) -1))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (*.f64 N 3)) 2)) (/.f64 1 (cbrt.f64 (*.f64 N 3))))
(*.f64 (pow.f64 (sqrt.f64 (*.f64 N 3)) -1) (pow.f64 (sqrt.f64 (*.f64 N 3)) -1))
(pow.f64 (sqrt.f64 (*.f64 N 3)) -2)
(pow.f64 (*.f64 N 3) -1)
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(*.f64 N 1/3)
(pow.f64 (/.f64 (*.f64 N 3) 1) -1)
(/.f64 1/3 N)
(sqrt.f64 (pow.f64 (*.f64 N 3) -2))
(fabs.f64 (/.f64 1/3 N))
(log.f64 (exp.f64 (*.f64 N 1/3)))
(*.f64 N 1/3)
(log.f64 (+.f64 1 (expm1.f64 (*.f64 N 1/3))))
(*.f64 N 1/3)
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(*.f64 N 1/3)
(exp.f64 (log.f64 (*.f64 N 1/3)))
(*.f64 N 1/3)
(exp.f64 (*.f64 (log.f64 (*.f64 N 3)) -1))
(/.f64 1/3 N)
(exp.f64 (*.f64 (log.f64 (*.f64 N 1/3)) 1))
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(log1p.f64 (expm1.f64 (*.f64 N 1/3)))
(*.f64 N 1/3)
(+.f64 0 (*.f64 1/3 (+.f64 (log1p.f64 N) (log.f64 N))))
(*.f64 1/3 (+.f64 (log.f64 N) (log1p.f64 N)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 (+.f64 N 1) N))) 2)) (log.f64 (cbrt.f64 (cbrt.f64 (*.f64 (+.f64 N 1) N)))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 N (+.f64 N 1)))) 2)) (log.f64 (cbrt.f64 (cbrt.f64 (*.f64 N (+.f64 N 1))))))
(*.f64 3 (log.f64 (cbrt.f64 (cbrt.f64 (+.f64 N (pow.f64 N 2))))))
(+.f64 (log.f64 (pow.f64 (*.f64 (+.f64 N 1) N) 1/6)) (log.f64 (pow.f64 (*.f64 (+.f64 N 1) N) 1/6)))
(*.f64 1/3 (+.f64 (log.f64 N) (log1p.f64 N)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 1/3 (+.f64 (log1p.f64 N) (log.f64 N))))) 1)
(*.f64 1/3 (+.f64 (log.f64 N) (log1p.f64 N)))
(*.f64 1 (*.f64 1/3 (+.f64 (log1p.f64 N) (log.f64 N))))
(*.f64 1/3 (+.f64 (log.f64 N) (log1p.f64 N)))
(*.f64 1/3 (+.f64 (log1p.f64 N) (log.f64 N)))
(*.f64 1/3 (+.f64 (log.f64 N) (log1p.f64 N)))
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(*.f64 1/3 (+.f64 (log.f64 N) (log1p.f64 N)))
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(log1p.f64 (+.f64 (cbrt.f64 (*.f64 N (+.f64 N 1))) -1))
(log1p.f64 (+.f64 (cbrt.f64 (+.f64 N (pow.f64 N 2))) -1))
(+.f64 (log1p.f64 N) (log.f64 N))
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(fma.f64 1/3 (+.f64 (log.f64 N) (log1p.f64 N)) (*.f64 2 (log.f64 (cbrt.f64 (+.f64 N (pow.f64 N 2))))))
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(*.f64 2 (log.f64 (sqrt.f64 (+.f64 N (pow.f64 N 2)))))
(-.f64 (log1p.f64 N) (log.f64 N))
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(-.f64 (log.f64 (neg.f64 (+.f64 N 1))) (log.f64 (neg.f64 N)))
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(+.f64 (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))) (fma.f64 5/24 (pow.f64 N 2) (*.f64 (neg.f64 (cbrt.f64 (log.f64 N))) (pow.f64 (cbrt.f64 (log.f64 N)) 2))))
(+.f64 (-.f64 (*.f64 (pow.f64 N 2) 5/24) (log.f64 N)) (*.f64 0 (log.f64 N)))
(+.f64 (fma.f64 (cbrt.f64 (/.f64 25/576 (pow.f64 N 4))) (cbrt.f64 (*.f64 5/24 (pow.f64 N 2))) (neg.f64 (*.f64 (log.f64 N) 1))) (fma.f64 (log.f64 N) 1 (*.f64 (log.f64 N) 1)))
(+.f64 (+.f64 (log.f64 N) (log.f64 N)) (fma.f64 (cbrt.f64 (/.f64 25/576 (pow.f64 N 4))) (cbrt.f64 (*.f64 (pow.f64 N 2) 5/24)) (neg.f64 (log.f64 N))))
(+.f64 (*.f64 2 (log.f64 N)) (fma.f64 (cbrt.f64 (/.f64 25/576 (pow.f64 N 4))) (cbrt.f64 (*.f64 (pow.f64 N 2) 5/24)) (neg.f64 (log.f64 N))))
(+.f64 (fma.f64 (cbrt.f64 (/.f64 25/576 (pow.f64 N 4))) (cbrt.f64 (*.f64 5/24 (pow.f64 N 2))) (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 (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))) (fma.f64 (cbrt.f64 (/.f64 25/576 (pow.f64 N 4))) (cbrt.f64 (*.f64 (pow.f64 N 2) 5/24)) (*.f64 (neg.f64 (cbrt.f64 (log.f64 N))) (pow.f64 (cbrt.f64 (log.f64 N)) 2))))
(+.f64 (*.f64 0 (log.f64 N)) (fma.f64 (cbrt.f64 (/.f64 25/576 (pow.f64 N 4))) (cbrt.f64 (*.f64 (pow.f64 N 2) 5/24)) (neg.f64 (log.f64 N))))
(+.f64 (fma.f64 (*.f64 (sqrt.f64 5/24) N) (*.f64 (sqrt.f64 5/24) N) (neg.f64 (*.f64 (log.f64 N) 1))) (fma.f64 (log.f64 N) 1 (*.f64 (log.f64 N) 1)))
(+.f64 (fma.f64 5/24 (pow.f64 N 2) (neg.f64 (log.f64 N))) (+.f64 (log.f64 N) (log.f64 N)))
(+.f64 (-.f64 (*.f64 (pow.f64 N 2) 5/24) (log.f64 N)) (*.f64 2 (log.f64 N)))
(+.f64 (fma.f64 (*.f64 (sqrt.f64 5/24) N) (*.f64 (sqrt.f64 5/24) 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 (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))) (fma.f64 5/24 (pow.f64 N 2) (*.f64 (neg.f64 (cbrt.f64 (log.f64 N))) (pow.f64 (cbrt.f64 (log.f64 N)) 2))))
(+.f64 (-.f64 (*.f64 (pow.f64 N 2) 5/24) (log.f64 N)) (*.f64 0 (log.f64 N)))
(*.f64 1 (fma.f64 5/24 (pow.f64 N 2) (log.f64 N)))
(fma.f64 5/24 (pow.f64 N 2) (log.f64 N))
(fma.f64 (pow.f64 N 2) 5/24 (log.f64 N))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 5/24 (pow.f64 N 2) (log.f64 N))) 2) (cbrt.f64 (fma.f64 5/24 (pow.f64 N 2) (log.f64 N))))
(fma.f64 5/24 (pow.f64 N 2) (log.f64 N))
(fma.f64 (pow.f64 N 2) 5/24 (log.f64 N))
(*.f64 (sqrt.f64 (fma.f64 5/24 (pow.f64 N 2) (log.f64 N))) (sqrt.f64 (fma.f64 5/24 (pow.f64 N 2) (log.f64 N))))
(fma.f64 5/24 (pow.f64 N 2) (log.f64 N))
(fma.f64 (pow.f64 N 2) 5/24 (log.f64 N))
(/.f64 (-.f64 (*.f64 125/13824 (pow.f64 N 6)) (pow.f64 (log.f64 N) 3)) (+.f64 (/.f64 25/576 (pow.f64 N 4)) (+.f64 (pow.f64 (log.f64 N) 2) (*.f64 (*.f64 5/24 (pow.f64 N 2)) (log.f64 N)))))
(/.f64 (-.f64 (*.f64 (pow.f64 N 6) 125/13824) (pow.f64 (log.f64 N) 3)) (+.f64 (/.f64 25/576 (pow.f64 N 4)) (+.f64 (pow.f64 (log.f64 N) 2) (*.f64 5/24 (*.f64 (pow.f64 N 2) (log.f64 N))))))
(/.f64 (-.f64 (*.f64 (pow.f64 N 6) 125/13824) (pow.f64 (log.f64 N) 3)) (+.f64 (/.f64 25/576 (pow.f64 N 4)) (*.f64 (log.f64 N) (fma.f64 (pow.f64 N 2) 5/24 (log.f64 N)))))
(/.f64 (-.f64 (/.f64 25/576 (pow.f64 N 4)) (pow.f64 (log.f64 N) 2)) (fma.f64 5/24 (pow.f64 N 2) (log.f64 N)))
(/.f64 (-.f64 (/.f64 25/576 (pow.f64 N 4)) (pow.f64 (log.f64 N) 2)) (fma.f64 (pow.f64 N 2) 5/24 (log.f64 N)))
(pow.f64 (fma.f64 5/24 (pow.f64 N 2) (log.f64 N)) 1)
(fma.f64 5/24 (pow.f64 N 2) (log.f64 N))
(fma.f64 (pow.f64 N 2) 5/24 (log.f64 N))
(pow.f64 (cbrt.f64 (fma.f64 5/24 (pow.f64 N 2) (log.f64 N))) 3)
(fma.f64 5/24 (pow.f64 N 2) (log.f64 N))
(fma.f64 (pow.f64 N 2) 5/24 (log.f64 N))
(pow.f64 (pow.f64 (fma.f64 5/24 (pow.f64 N 2) (log.f64 N)) 3) 1/3)
(fma.f64 5/24 (pow.f64 N 2) (log.f64 N))
(fma.f64 (pow.f64 N 2) 5/24 (log.f64 N))
(pow.f64 (sqrt.f64 (fma.f64 5/24 (pow.f64 N 2) (log.f64 N))) 2)
(fma.f64 5/24 (pow.f64 N 2) (log.f64 N))
(fma.f64 (pow.f64 N 2) 5/24 (log.f64 N))
(sqrt.f64 (pow.f64 (fma.f64 5/24 (pow.f64 N 2) (log.f64 N)) 2))
(fabs.f64 (fma.f64 (pow.f64 N 2) 5/24 (log.f64 N)))
(log.f64 (*.f64 (pow.f64 (exp.f64 5/24) (pow.f64 N 2)) N))
(fma.f64 5/24 (pow.f64 N 2) (log.f64 N))
(fma.f64 (pow.f64 N 2) 5/24 (log.f64 N))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 5/24 (pow.f64 N 2) (log.f64 N)))))
(fma.f64 5/24 (pow.f64 N 2) (log.f64 N))
(fma.f64 (pow.f64 N 2) 5/24 (log.f64 N))
(cbrt.f64 (pow.f64 (fma.f64 5/24 (pow.f64 N 2) (log.f64 N)) 3))
(fma.f64 5/24 (pow.f64 N 2) (log.f64 N))
(fma.f64 (pow.f64 N 2) 5/24 (log.f64 N))
(expm1.f64 (log1p.f64 (fma.f64 5/24 (pow.f64 N 2) (log.f64 N))))
(fma.f64 5/24 (pow.f64 N 2) (log.f64 N))
(fma.f64 (pow.f64 N 2) 5/24 (log.f64 N))
(exp.f64 (log.f64 (fma.f64 5/24 (pow.f64 N 2) (log.f64 N))))
(fma.f64 5/24 (pow.f64 N 2) (log.f64 N))
(fma.f64 (pow.f64 N 2) 5/24 (log.f64 N))
(exp.f64 (*.f64 (log.f64 (fma.f64 5/24 (pow.f64 N 2) (log.f64 N))) 1))
(fma.f64 5/24 (pow.f64 N 2) (log.f64 N))
(fma.f64 (pow.f64 N 2) 5/24 (log.f64 N))
(log1p.f64 (expm1.f64 (fma.f64 5/24 (pow.f64 N 2) (log.f64 N))))
(fma.f64 5/24 (pow.f64 N 2) (log.f64 N))
(fma.f64 (pow.f64 N 2) 5/24 (log.f64 N))
(fma.f64 1 (*.f64 5/24 (pow.f64 N 2)) (log.f64 N))
(fma.f64 5/24 (pow.f64 N 2) (log.f64 N))
(fma.f64 (pow.f64 N 2) 5/24 (log.f64 N))
(fma.f64 5/24 (pow.f64 N 2) (log.f64 N))
(fma.f64 (pow.f64 N 2) 5/24 (log.f64 N))
(fma.f64 (cbrt.f64 (/.f64 25/576 (pow.f64 N 4))) (cbrt.f64 (*.f64 5/24 (pow.f64 N 2))) (log.f64 N))
(fma.f64 (cbrt.f64 (/.f64 25/576 (pow.f64 N 4))) (cbrt.f64 (*.f64 (pow.f64 N 2) 5/24)) (log.f64 N))
(fma.f64 (*.f64 (sqrt.f64 5/24) N) (*.f64 (sqrt.f64 5/24) N) (log.f64 N))
(fma.f64 5/24 (pow.f64 N 2) (log.f64 N))
(fma.f64 (pow.f64 N 2) 5/24 (log.f64 N))
(+.f64 (log1p.f64 N) (log.f64 N))
(+.f64 (log.f64 N) (log1p.f64 N))
(+.f64 0 (+.f64 (log1p.f64 N) (log.f64 N)))
(+.f64 (log.f64 N) (log1p.f64 N))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (*.f64 (+.f64 N 1) N)) 2)) (*.f64 1/3 (+.f64 (log1p.f64 N) (log.f64 N))))
(+.f64 (*.f64 1/3 (+.f64 (log.f64 N) (log1p.f64 N))) (*.f64 2 (log.f64 (cbrt.f64 (*.f64 N (+.f64 N 1))))))
(fma.f64 1/3 (+.f64 (log.f64 N) (log1p.f64 N)) (*.f64 2 (log.f64 (cbrt.f64 (+.f64 N (pow.f64 N 2))))))
(+.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 N (+.f64 N 1)))))
(*.f64 2 (log.f64 (sqrt.f64 (+.f64 N (pow.f64 N 2)))))
(-.f64 (log1p.f64 N) (log.f64 N))
(-.f64 0 (log.f64 (/.f64 N (+.f64 N 1))))
(neg.f64 (log.f64 (/.f64 N (+.f64 N 1))))
(+.f64 (neg.f64 (log.f64 N)) (log1p.f64 N))
(-.f64 (exp.f64 (log1p.f64 (+.f64 (log1p.f64 N) (log.f64 N)))) 1)
(+.f64 (log.f64 N) (log1p.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 (log.f64 N) (log1p.f64 N))
(*.f64 3 (*.f64 1/3 (+.f64 (log1p.f64 N) (log.f64 N))))
(+.f64 (log.f64 N) (log1p.f64 N))
(*.f64 (*.f64 1/3 (+.f64 (log1p.f64 N) (log.f64 N))) 3)
(+.f64 (log.f64 N) (log1p.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 (log.f64 N) (log1p.f64 N))
(*.f64 (sqrt.f64 (+.f64 (log1p.f64 N) (log.f64 N))) (sqrt.f64 (+.f64 (log1p.f64 N) (log.f64 N))))
(+.f64 (log.f64 N) (log1p.f64 N))
(pow.f64 (+.f64 (log1p.f64 N) (log.f64 N)) 1)
(+.f64 (log.f64 N) (log1p.f64 N))
(pow.f64 (cbrt.f64 (+.f64 (log1p.f64 N) (log.f64 N))) 3)
(+.f64 (log.f64 N) (log1p.f64 N))
(pow.f64 (pow.f64 (+.f64 (log1p.f64 N) (log.f64 N)) 3) 1/3)
(+.f64 (log.f64 N) (log1p.f64 N))
(pow.f64 (sqrt.f64 (+.f64 (log1p.f64 N) (log.f64 N))) 2)
(+.f64 (log.f64 N) (log1p.f64 N))
(neg.f64 (log.f64 (/.f64 N (+.f64 N 1))))
(+.f64 (neg.f64 (log.f64 N)) (log1p.f64 N))
(sqrt.f64 (pow.f64 (+.f64 (log1p.f64 N) (log.f64 N)) 2))
(sqrt.f64 (pow.f64 (+.f64 (log.f64 N) (log1p.f64 N)) 2))
(fabs.f64 (+.f64 (log.f64 N) (log1p.f64 N)))
(log.f64 (*.f64 (+.f64 N 1) N))
(+.f64 (log.f64 N) (log1p.f64 N))
(log.f64 (+.f64 1 (-.f64 (*.f64 (+.f64 N 1) N) 1)))
(log1p.f64 (fma.f64 (+.f64 N 1) N -1))
(log1p.f64 (fma.f64 N (+.f64 N 1) -1))
(cbrt.f64 (pow.f64 (+.f64 (log1p.f64 N) (log.f64 N)) 3))
(+.f64 (log.f64 N) (log1p.f64 N))
(expm1.f64 (log1p.f64 (+.f64 (log1p.f64 N) (log.f64 N))))
(+.f64 (log.f64 N) (log1p.f64 N))
(exp.f64 (log.f64 (+.f64 (log1p.f64 N) (log.f64 N))))
(+.f64 (log.f64 N) (log1p.f64 N))
(exp.f64 (*.f64 (log.f64 (+.f64 (log1p.f64 N) (log.f64 N))) 1))
(+.f64 (log.f64 N) (log1p.f64 N))
(log1p.f64 (-.f64 (*.f64 (+.f64 N 1) N) 1))
(log1p.f64 (fma.f64 (+.f64 N 1) N -1))
(log1p.f64 (fma.f64 N (+.f64 N 1) -1))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (log1p.f64 N)))) 1)
(sqrt.f64 (log1p.f64 N))
(*.f64 1 (sqrt.f64 (log1p.f64 N)))
(sqrt.f64 (log1p.f64 N))
(*.f64 (cbrt.f64 (log1p.f64 N)) (cbrt.f64 (sqrt.f64 (log1p.f64 N))))
(*.f64 (pow.f64 (log1p.f64 N) 1/4) (pow.f64 (log1p.f64 N) 1/4))
(sqrt.f64 (log1p.f64 N))
(*.f64 (pow.f64 1 1/2) (sqrt.f64 (log1p.f64 N)))
(sqrt.f64 (log1p.f64 N))
(*.f64 (pow.f64 (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 (pow.f64 (log1p.f64 N) 1/4) 2)
(sqrt.f64 (log1p.f64 N))
(fabs.f64 (sqrt.f64 (log1p.f64 N)))
(sqrt.f64 (log1p.f64 N))
(log.f64 (exp.f64 (sqrt.f64 (log1p.f64 N))))
(sqrt.f64 (log1p.f64 N))
(log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (log1p.f64 N)))))
(sqrt.f64 (log1p.f64 N))
(cbrt.f64 (pow.f64 (log1p.f64 N) 3/2))
(expm1.f64 (log1p.f64 (sqrt.f64 (log1p.f64 N))))
(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))
(log1p.f64 (expm1.f64 (sqrt.f64 (log1p.f64 N))))
(sqrt.f64 (log1p.f64 N))

eval397.0ms (3.8%)

Compiler

Compiled 19459 to 13879 computations (28.7% saved)

prune163.0ms (1.6%)

Pruning

42 alts after pruning (29 fresh and 13 done)

PrunedKeptTotal
New8154819
Fresh42529
Picked055
Done088
Total81942861
Accuracy
99.7%
Counts
861 → 42
Alt Table
Click to see full alt table
StatusAccuracyProgram
23.6%
(fma.f64 (pow.f64 (cbrt.f64 (log1p.f64 N)) 2) (cbrt.f64 (log1p.f64 N)) (neg.f64 (log.f64 N)))
24.3%
(fma.f64 (sqrt.f64 (log1p.f64 N)) (sqrt.f64 (log1p.f64 N)) (neg.f64 (log.f64 N)))
23.2%
(/.f64 (-.f64 (pow.f64 (log1p.f64 N) 2) (pow.f64 (log.f64 N) 2)) (+.f64 (log1p.f64 N) (log.f64 N)))
23.2%
(/.f64 (log.f64 (exp.f64 (-.f64 (pow.f64 (log1p.f64 N) 2) (pow.f64 (log.f64 N) 2)))) (+.f64 (log1p.f64 N) (log.f64 N)))
96.3%
(/.f64 (exp.f64 (/.f64 5/24 (pow.f64 N 2))) (*.f64 N (exp.f64 (/.f64 1/2 N))))
84.9%
(/.f64 3 (*.f64 N 3))
85.1%
(/.f64 1 N)
93.4%
(-.f64 (/.f64 1 N) (/.f64 1/2 (pow.f64 N 2)))
96.1%
(-.f64 (+.f64 (/.f64 1 N) (/.f64 1/3 (pow.f64 N 3))) (/.f64 1/2 (pow.f64 N 2)))
96.1%
(+.f64 (/.f64 1 N) (-.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 1/2 (pow.f64 N 2))))
97.3%
(+.f64 (/.f64 1 N) (+.f64 (/.f64 1/3 (pow.f64 N 3)) (-.f64 (/.f64 -1/2 (pow.f64 N 2)) (/.f64 1/4 (pow.f64 N 4)))))
97.4%
(+.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)))))
97.0%
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (+.f64 (/.f64 (*.f64 N (+.f64 N -1/2)) (pow.f64 N 3)) (/.f64 -1/4 (pow.f64 N 4))))
97.4%
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (+.f64 (-.f64 (/.f64 1 N) (/.f64 1/2 (pow.f64 N 2))) (/.f64 -1/4 (pow.f64 N 4))))
26.0%
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (log.f64 (exp.f64 (-.f64 (/.f64 1 N) (fma.f64 1/4 (pow.f64 N -4) (*.f64 1/2 (pow.f64 N -2)))))))
92.8%
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (exp.f64 (log.f64 (-.f64 (/.f64 1 N) (fma.f64 1/4 (pow.f64 N -4) (*.f64 1/2 (pow.f64 N -2)))))))
22.4%
(*.f64 (+.f64 (sqrt.f64 (log1p.f64 N)) (sqrt.f64 (log.f64 N))) (-.f64 (sqrt.f64 (log1p.f64 N)) (sqrt.f64 (log.f64 N))))
84.7%
(*.f64 3 (/.f64 1 (/.f64 N 1/3)))
84.8%
(*.f64 3 (/.f64 1/3 N))
93.0%
(*.f64 3 (-.f64 (/.f64 1/3 N) (/.f64 1/6 (pow.f64 N 2))))
97.0%
(*.f64 3 (-.f64 (+.f64 (/.f64 1/3 N) (/.f64 1/9 (pow.f64 N 3))) (+.f64 (/.f64 1/6 (pow.f64 N 2)) (/.f64 1/12 (pow.f64 N 4)))))
95.8%
(*.f64 3 (-.f64 (+.f64 (*.f64 1/9 (/.f64 1 (pow.f64 N 3))) (*.f64 1/3 (/.f64 1 N))) (*.f64 1/6 (/.f64 1 (pow.f64 N 2)))))
23.3%
(*.f64 3 (-.f64 (exp.f64 (log1p.f64 (*.f64 1/3 (-.f64 (log1p.f64 N) (log.f64 N))))) 1))
95.7%
(*.f64 3 (+.f64 (/.f64 1/3 N) (+.f64 (/.f64 1/9 (pow.f64 N 3)) (/.f64 -1/6 (pow.f64 N 2)))))
95.8%
(*.f64 3 (+.f64 (/.f64 1/9 (pow.f64 N 3)) (-.f64 (/.f64 1/3 N) (/.f64 1/6 (pow.f64 N 2)))))
24.6%
(*.f64 3 (log.f64 (pow.f64 (/.f64 (+.f64 N 1) N) 1/3)))
24.1%
(*.f64 3 (log.f64 (cbrt.f64 (/.f64 (+.f64 N 1) N))))
24.9%
(*.f64 2 (log.f64 (sqrt.f64 (/.f64 (+.f64 N 1) N))))
84.9%
(sqrt.f64 (/.f64 1 (pow.f64 N 2)))
26.1%
(neg.f64 (log.f64 (/.f64 N (+.f64 N 1))))
25.7%
(log.f64 (/.f64 (+.f64 N 1) N))
9.9%
(exp.f64 (/.f64 -1/2 N))
92.8%
(exp.f64 (-.f64 (+.f64 (neg.f64 (log.f64 N)) (/.f64 5/24 (pow.f64 N 2))) (+.f64 (/.f64 1/2 N) (/.f64 1/8 (pow.f64 N 3)))))
89.2%
(exp.f64 (-.f64 (neg.f64 (log.f64 N)) (/.f64 1/2 N)))
89.3%
(exp.f64 (-.f64 (log.f64 (/.f64 1 N)) (*.f64 1/2 (/.f64 1 N))))
23.2%
(exp.f64 (-.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)))))
91.8%
(exp.f64 (+.f64 (-.f64 (/.f64 5/24 (pow.f64 N 2)) (log.f64 N)) (/.f64 -1/2 N)))
92.8%
(exp.f64 (+.f64 (-.f64 (-.f64 (/.f64 5/24 (pow.f64 N 2)) (log.f64 N)) (/.f64 1/8 (pow.f64 N 3))) (/.f64 -1/2 N)))
91.8%
(exp.f64 (+.f64 (neg.f64 (log.f64 N)) (-.f64 (/.f64 5/24 (pow.f64 N 2)) (/.f64 1/2 N))))
23.1%
(exp.f64 (log.f64 (fma.f64 (pow.f64 (cbrt.f64 (log1p.f64 N)) 2) (cbrt.f64 (log1p.f64 N)) (neg.f64 (log.f64 N)))))
25.7%
(exp.f64 (log.f64 (log.f64 (/.f64 (+.f64 N 1) N))))
8.3%
N
Compiler

Compiled 1441 to 1053 computations (26.9% saved)

regimes83.0ms (0.8%)

Counts
59 → 2
Calls
Call 1
Inputs
N
(/.f64 1 N)
(*.f64 3 (/.f64 1/3 N))
(/.f64 3 (*.f64 N 3))
(*.f64 3 (/.f64 1 (/.f64 N 1/3)))
(exp.f64 (/.f64 -1/2 N))
(log.f64 (/.f64 (+.f64 N 1) N))
(neg.f64 (log.f64 (/.f64 N (+.f64 N 1))))
(-.f64 (/.f64 1 N) (/.f64 1/2 (pow.f64 N 2)))
(*.f64 3 (-.f64 (/.f64 1/3 N) (/.f64 1/6 (pow.f64 N 2))))
(-.f64 (log1p.f64 N) (log.f64 N))
(sqrt.f64 (/.f64 1 (pow.f64 N 2)))
(-.f64 (log.f64 (+.f64 N 1)) (log.f64 N))
(exp.f64 (-.f64 (neg.f64 (log.f64 N)) (/.f64 1/2 N)))
(*.f64 2 (log.f64 (sqrt.f64 (/.f64 (+.f64 N 1) N))))
(*.f64 3 (log.f64 (cbrt.f64 (/.f64 (+.f64 N 1) N))))
(-.f64 (-.f64 (+.f64 1 (log1p.f64 N)) 1) (log.f64 N))
(*.f64 3 (log.f64 (pow.f64 (/.f64 (+.f64 N 1) N) 1/3)))
(exp.f64 (-.f64 (log.f64 (/.f64 1 N)) (*.f64 1/2 (/.f64 1 N))))
(/.f64 (/.f64 (neg.f64 (*.f64 -2 (log.f64 N))) N) (*.f64 (neg.f64 (log.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 1 N) (-.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 1/2 (pow.f64 N 2))))
(-.f64 (+.f64 (/.f64 1 N) (/.f64 1/3 (pow.f64 N 3))) (/.f64 1/2 (pow.f64 N 2)))
(*.f64 3 (+.f64 (/.f64 1/9 (pow.f64 N 3)) (-.f64 (/.f64 1/3 N) (/.f64 1/6 (pow.f64 N 2)))))
(*.f64 3 (+.f64 (/.f64 1/3 N) (+.f64 (/.f64 1/9 (pow.f64 N 3)) (/.f64 -1/6 (pow.f64 N 2)))))
(*.f64 3 (-.f64 (+.f64 (*.f64 1/9 (/.f64 1 (pow.f64 N 3))) (*.f64 1/3 (/.f64 1 N))) (*.f64 1/6 (/.f64 1 (pow.f64 N 2)))))
(exp.f64 (log.f64 (log.f64 (/.f64 (+.f64 N 1) N))))
(exp.f64 (+.f64 (-.f64 (/.f64 5/24 (pow.f64 N 2)) (log.f64 N)) (/.f64 -1/2 N)))
(/.f64 (exp.f64 (/.f64 5/24 (pow.f64 N 2))) (*.f64 N (exp.f64 (/.f64 1/2 N))))
(/.f64 (/.f64 (neg.f64 (*.f64 -2 (log.f64 N))) N) (+.f64 (log1p.f64 N) (log.f64 N)))
(exp.f64 (+.f64 (neg.f64 (log.f64 N)) (-.f64 (/.f64 5/24 (pow.f64 N 2)) (/.f64 1/2 N))))
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (+.f64 (-.f64 (/.f64 1 N) (/.f64 1/2 (pow.f64 N 2))) (/.f64 -1/4 (pow.f64 N 4))))
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (+.f64 (/.f64 (*.f64 N (+.f64 N -1/2)) (pow.f64 N 3)) (/.f64 -1/4 (pow.f64 N 4))))
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (-.f64 (/.f64 1 N) (+.f64 (/.f64 1/2 (pow.f64 N 2)) (/.f64 1/4 (pow.f64 N 4)))))
(+.f64 (/.f64 1 N) (+.f64 (/.f64 1/3 (pow.f64 N 3)) (-.f64 (/.f64 -1/2 (pow.f64 N 2)) (/.f64 1/4 (pow.f64 N 4)))))
(*.f64 3 (-.f64 (+.f64 (/.f64 1/3 N) (/.f64 1/9 (pow.f64 N 3))) (+.f64 (/.f64 1/6 (pow.f64 N 2)) (/.f64 1/12 (pow.f64 N 4)))))
(exp.f64 (log.f64 (-.f64 (log1p.f64 N) (log.f64 N))))
(pow.f64 (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 3) 1/3)
(*.f64 3 (-.f64 (exp.f64 (log1p.f64 (*.f64 1/3 (-.f64 (log1p.f64 N) (log.f64 N))))) 1))
(exp.f64 (+.f64 (-.f64 (-.f64 (/.f64 5/24 (pow.f64 N 2)) (log.f64 N)) (/.f64 1/8 (pow.f64 N 3))) (/.f64 -1/2 N)))
(exp.f64 (-.f64 (+.f64 (neg.f64 (log.f64 N)) (/.f64 5/24 (pow.f64 N 2))) (+.f64 (/.f64 1/2 N) (/.f64 1/8 (pow.f64 N 3)))))
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (+.f64 (/.f64 (-.f64 (pow.f64 N 2) (*.f64 N 1/2)) (pow.f64 N 3)) (/.f64 -1/4 (pow.f64 N 4))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 N 1) N)) 2)) (log.f64 (cbrt.f64 (/.f64 (+.f64 N 1) N))))
(+.f64 (*.f64 -1/2 (/.f64 (+.f64 1 (log.f64 (/.f64 1 N))) (*.f64 (pow.f64 N 2) (log.f64 (/.f64 1 N))))) (+.f64 (/.f64 1/2 (*.f64 (pow.f64 N 2) (log.f64 (/.f64 1 N)))) (/.f64 1 N)))
(fma.f64 (sqrt.f64 (log1p.f64 N)) (sqrt.f64 (log1p.f64 N)) (neg.f64 (log.f64 N)))
(/.f64 (-.f64 (pow.f64 (log1p.f64 N) 2) (pow.f64 (log.f64 N) 2)) (+.f64 (log1p.f64 N) (log.f64 N)))
(/.f64 1 (/.f64 (+.f64 (log1p.f64 N) (log.f64 N)) (-.f64 (pow.f64 (log1p.f64 N) 2) (pow.f64 (log.f64 N) 2))))
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (exp.f64 (log.f64 (-.f64 (/.f64 1 N) (fma.f64 1/4 (pow.f64 N -4) (*.f64 1/2 (pow.f64 N -2)))))))
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (log.f64 (exp.f64 (-.f64 (/.f64 1 N) (fma.f64 1/4 (pow.f64 N -4) (*.f64 1/2 (pow.f64 N -2)))))))
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (pow.f64 (sqrt.f64 (-.f64 (/.f64 1 N) (fma.f64 1/4 (pow.f64 N -4) (*.f64 1/2 (pow.f64 N -2))))) 2))
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 (-.f64 (pow.f64 N 6) (*.f64 N (fma.f64 1/2 (pow.f64 N 4) (*.f64 (pow.f64 N 2) 1/4)))) (pow.f64 N 7)))
(fma.f64 (pow.f64 (cbrt.f64 (log1p.f64 N)) 2) (cbrt.f64 (log1p.f64 N)) (neg.f64 (log.f64 N)))
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 (-.f64 (-.f64 (*.f64 1/2 (pow.f64 N -2)) (*.f64 1/4 (pow.f64 N -4))) (*.f64 N (-.f64 (*.f64 1/4 (pow.f64 N -4)) (/.f64 1/16 (pow.f64 N 8))))) (*.f64 N (-.f64 (*.f64 1/2 (pow.f64 N -2)) (*.f64 1/4 (pow.f64 N -4))))))
(*.f64 (+.f64 (sqrt.f64 (log1p.f64 N)) (sqrt.f64 (log.f64 N))) (-.f64 (sqrt.f64 (log1p.f64 N)) (sqrt.f64 (log.f64 N))))
(/.f64 (log.f64 (exp.f64 (-.f64 (pow.f64 (log1p.f64 N) 2) (pow.f64 (log.f64 N) 2)))) (+.f64 (log1p.f64 N) (log.f64 N)))
(exp.f64 (log.f64 (fma.f64 (pow.f64 (cbrt.f64 (log1p.f64 N)) 2) (cbrt.f64 (log1p.f64 N)) (neg.f64 (log.f64 N)))))
(exp.f64 (-.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 (-.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)))
Outputs
(+.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)))))
(neg.f64 (log.f64 (/.f64 N (+.f64 N 1))))
Calls

2 calls:

52.0ms
N
11.0ms
(-.f64 (log.f64 (+.f64 N 1)) (log.f64 N))
Results
AccuracySegmentsBranch
99.5%2N
99.5%2(-.f64 (log.f64 (+.f64 N 1)) (log.f64 N))
Compiler

Compiled 859 to 599 computations (30.3% saved)

regimes84.0ms (0.8%)

Counts
34 → 2
Calls
Call 1
Inputs
N
(/.f64 1 N)
(*.f64 3 (/.f64 1/3 N))
(/.f64 3 (*.f64 N 3))
(*.f64 3 (/.f64 1 (/.f64 N 1/3)))
(exp.f64 (/.f64 -1/2 N))
(log.f64 (/.f64 (+.f64 N 1) N))
(neg.f64 (log.f64 (/.f64 N (+.f64 N 1))))
(-.f64 (/.f64 1 N) (/.f64 1/2 (pow.f64 N 2)))
(*.f64 3 (-.f64 (/.f64 1/3 N) (/.f64 1/6 (pow.f64 N 2))))
(-.f64 (log1p.f64 N) (log.f64 N))
(sqrt.f64 (/.f64 1 (pow.f64 N 2)))
(-.f64 (log.f64 (+.f64 N 1)) (log.f64 N))
(exp.f64 (-.f64 (neg.f64 (log.f64 N)) (/.f64 1/2 N)))
(*.f64 2 (log.f64 (sqrt.f64 (/.f64 (+.f64 N 1) N))))
(*.f64 3 (log.f64 (cbrt.f64 (/.f64 (+.f64 N 1) N))))
(-.f64 (-.f64 (+.f64 1 (log1p.f64 N)) 1) (log.f64 N))
(*.f64 3 (log.f64 (pow.f64 (/.f64 (+.f64 N 1) N) 1/3)))
(exp.f64 (-.f64 (log.f64 (/.f64 1 N)) (*.f64 1/2 (/.f64 1 N))))
(/.f64 (/.f64 (neg.f64 (*.f64 -2 (log.f64 N))) N) (*.f64 (neg.f64 (log.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 1 N) (-.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 1/2 (pow.f64 N 2))))
(-.f64 (+.f64 (/.f64 1 N) (/.f64 1/3 (pow.f64 N 3))) (/.f64 1/2 (pow.f64 N 2)))
(*.f64 3 (+.f64 (/.f64 1/9 (pow.f64 N 3)) (-.f64 (/.f64 1/3 N) (/.f64 1/6 (pow.f64 N 2)))))
(*.f64 3 (+.f64 (/.f64 1/3 N) (+.f64 (/.f64 1/9 (pow.f64 N 3)) (/.f64 -1/6 (pow.f64 N 2)))))
(*.f64 3 (-.f64 (+.f64 (*.f64 1/9 (/.f64 1 (pow.f64 N 3))) (*.f64 1/3 (/.f64 1 N))) (*.f64 1/6 (/.f64 1 (pow.f64 N 2)))))
(exp.f64 (log.f64 (log.f64 (/.f64 (+.f64 N 1) N))))
(exp.f64 (+.f64 (-.f64 (/.f64 5/24 (pow.f64 N 2)) (log.f64 N)) (/.f64 -1/2 N)))
(/.f64 (exp.f64 (/.f64 5/24 (pow.f64 N 2))) (*.f64 N (exp.f64 (/.f64 1/2 N))))
(/.f64 (/.f64 (neg.f64 (*.f64 -2 (log.f64 N))) N) (+.f64 (log1p.f64 N) (log.f64 N)))
(exp.f64 (+.f64 (neg.f64 (log.f64 N)) (-.f64 (/.f64 5/24 (pow.f64 N 2)) (/.f64 1/2 N))))
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (+.f64 (-.f64 (/.f64 1 N) (/.f64 1/2 (pow.f64 N 2))) (/.f64 -1/4 (pow.f64 N 4))))
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (+.f64 (/.f64 (*.f64 N (+.f64 N -1/2)) (pow.f64 N 3)) (/.f64 -1/4 (pow.f64 N 4))))
Outputs
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (+.f64 (-.f64 (/.f64 1 N) (/.f64 1/2 (pow.f64 N 2))) (/.f64 -1/4 (pow.f64 N 4))))
(neg.f64 (log.f64 (/.f64 N (+.f64 N 1))))
Calls

2 calls:

42.0ms
(-.f64 (log.f64 (+.f64 N 1)) (log.f64 N))
32.0ms
N
Results
AccuracySegmentsBranch
99.5%2N
99.5%2(-.f64 (log.f64 (+.f64 N 1)) (log.f64 N))
Compiler

Compiled 376 to 281 computations (25.3% saved)

regimes46.0ms (0.4%)

Counts
32 → 2
Calls
Call 1
Inputs
N
(/.f64 1 N)
(*.f64 3 (/.f64 1/3 N))
(/.f64 3 (*.f64 N 3))
(*.f64 3 (/.f64 1 (/.f64 N 1/3)))
(exp.f64 (/.f64 -1/2 N))
(log.f64 (/.f64 (+.f64 N 1) N))
(neg.f64 (log.f64 (/.f64 N (+.f64 N 1))))
(-.f64 (/.f64 1 N) (/.f64 1/2 (pow.f64 N 2)))
(*.f64 3 (-.f64 (/.f64 1/3 N) (/.f64 1/6 (pow.f64 N 2))))
(-.f64 (log1p.f64 N) (log.f64 N))
(sqrt.f64 (/.f64 1 (pow.f64 N 2)))
(-.f64 (log.f64 (+.f64 N 1)) (log.f64 N))
(exp.f64 (-.f64 (neg.f64 (log.f64 N)) (/.f64 1/2 N)))
(*.f64 2 (log.f64 (sqrt.f64 (/.f64 (+.f64 N 1) N))))
(*.f64 3 (log.f64 (cbrt.f64 (/.f64 (+.f64 N 1) N))))
(-.f64 (-.f64 (+.f64 1 (log1p.f64 N)) 1) (log.f64 N))
(*.f64 3 (log.f64 (pow.f64 (/.f64 (+.f64 N 1) N) 1/3)))
(exp.f64 (-.f64 (log.f64 (/.f64 1 N)) (*.f64 1/2 (/.f64 1 N))))
(/.f64 (/.f64 (neg.f64 (*.f64 -2 (log.f64 N))) N) (*.f64 (neg.f64 (log.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 1 N) (-.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 1/2 (pow.f64 N 2))))
(-.f64 (+.f64 (/.f64 1 N) (/.f64 1/3 (pow.f64 N 3))) (/.f64 1/2 (pow.f64 N 2)))
(*.f64 3 (+.f64 (/.f64 1/9 (pow.f64 N 3)) (-.f64 (/.f64 1/3 N) (/.f64 1/6 (pow.f64 N 2)))))
(*.f64 3 (+.f64 (/.f64 1/3 N) (+.f64 (/.f64 1/9 (pow.f64 N 3)) (/.f64 -1/6 (pow.f64 N 2)))))
(*.f64 3 (-.f64 (+.f64 (*.f64 1/9 (/.f64 1 (pow.f64 N 3))) (*.f64 1/3 (/.f64 1 N))) (*.f64 1/6 (/.f64 1 (pow.f64 N 2)))))
(exp.f64 (log.f64 (log.f64 (/.f64 (+.f64 N 1) N))))
(exp.f64 (+.f64 (-.f64 (/.f64 5/24 (pow.f64 N 2)) (log.f64 N)) (/.f64 -1/2 N)))
(/.f64 (exp.f64 (/.f64 5/24 (pow.f64 N 2))) (*.f64 N (exp.f64 (/.f64 1/2 N))))
(/.f64 (/.f64 (neg.f64 (*.f64 -2 (log.f64 N))) N) (+.f64 (log1p.f64 N) (log.f64 N)))
(exp.f64 (+.f64 (neg.f64 (log.f64 N)) (-.f64 (/.f64 5/24 (pow.f64 N 2)) (/.f64 1/2 N))))
Outputs
(/.f64 (exp.f64 (/.f64 5/24 (pow.f64 N 2))) (*.f64 N (exp.f64 (/.f64 1/2 N))))
(neg.f64 (log.f64 (/.f64 N (+.f64 N 1))))
Calls

2 calls:

29.0ms
N
7.0ms
(-.f64 (log.f64 (+.f64 N 1)) (log.f64 N))
Results
AccuracySegmentsBranch
98.9%2N
98.9%2(-.f64 (log.f64 (+.f64 N 1)) (log.f64 N))
Compiler

Compiled 334 to 248 computations (25.7% saved)

regimes107.0ms (1%)

Counts
29 → 2
Calls
Call 1
Inputs
N
(/.f64 1 N)
(*.f64 3 (/.f64 1/3 N))
(/.f64 3 (*.f64 N 3))
(*.f64 3 (/.f64 1 (/.f64 N 1/3)))
(exp.f64 (/.f64 -1/2 N))
(log.f64 (/.f64 (+.f64 N 1) N))
(neg.f64 (log.f64 (/.f64 N (+.f64 N 1))))
(-.f64 (/.f64 1 N) (/.f64 1/2 (pow.f64 N 2)))
(*.f64 3 (-.f64 (/.f64 1/3 N) (/.f64 1/6 (pow.f64 N 2))))
(-.f64 (log1p.f64 N) (log.f64 N))
(sqrt.f64 (/.f64 1 (pow.f64 N 2)))
(-.f64 (log.f64 (+.f64 N 1)) (log.f64 N))
(exp.f64 (-.f64 (neg.f64 (log.f64 N)) (/.f64 1/2 N)))
(*.f64 2 (log.f64 (sqrt.f64 (/.f64 (+.f64 N 1) N))))
(*.f64 3 (log.f64 (cbrt.f64 (/.f64 (+.f64 N 1) N))))
(-.f64 (-.f64 (+.f64 1 (log1p.f64 N)) 1) (log.f64 N))
(*.f64 3 (log.f64 (pow.f64 (/.f64 (+.f64 N 1) N) 1/3)))
(exp.f64 (-.f64 (log.f64 (/.f64 1 N)) (*.f64 1/2 (/.f64 1 N))))
(/.f64 (/.f64 (neg.f64 (*.f64 -2 (log.f64 N))) N) (*.f64 (neg.f64 (log.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 1 N) (-.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 1/2 (pow.f64 N 2))))
(-.f64 (+.f64 (/.f64 1 N) (/.f64 1/3 (pow.f64 N 3))) (/.f64 1/2 (pow.f64 N 2)))
(*.f64 3 (+.f64 (/.f64 1/9 (pow.f64 N 3)) (-.f64 (/.f64 1/3 N) (/.f64 1/6 (pow.f64 N 2)))))
(*.f64 3 (+.f64 (/.f64 1/3 N) (+.f64 (/.f64 1/9 (pow.f64 N 3)) (/.f64 -1/6 (pow.f64 N 2)))))
(*.f64 3 (-.f64 (+.f64 (*.f64 1/9 (/.f64 1 (pow.f64 N 3))) (*.f64 1/3 (/.f64 1 N))) (*.f64 1/6 (/.f64 1 (pow.f64 N 2)))))
(exp.f64 (log.f64 (log.f64 (/.f64 (+.f64 N 1) N))))
(exp.f64 (+.f64 (-.f64 (/.f64 5/24 (pow.f64 N 2)) (log.f64 N)) (/.f64 -1/2 N)))
Outputs
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (-.f64 (/.f64 1 N) (/.f64 1/2 (pow.f64 N 2))))
(neg.f64 (log.f64 (/.f64 N (+.f64 N 1))))
Calls

2 calls:

91.0ms
N
8.0ms
(-.f64 (log.f64 (+.f64 N 1)) (log.f64 N))
Results
AccuracySegmentsBranch
98.9%2N
98.9%2(-.f64 (log.f64 (+.f64 N 1)) (log.f64 N))
Compiler

Compiled 294 to 223 computations (24.1% saved)

regimes29.0ms (0.3%)

Counts
20 → 2
Calls
Call 1
Inputs
N
(/.f64 1 N)
(*.f64 3 (/.f64 1/3 N))
(/.f64 3 (*.f64 N 3))
(*.f64 3 (/.f64 1 (/.f64 N 1/3)))
(exp.f64 (/.f64 -1/2 N))
(log.f64 (/.f64 (+.f64 N 1) N))
(neg.f64 (log.f64 (/.f64 N (+.f64 N 1))))
(-.f64 (/.f64 1 N) (/.f64 1/2 (pow.f64 N 2)))
(*.f64 3 (-.f64 (/.f64 1/3 N) (/.f64 1/6 (pow.f64 N 2))))
(-.f64 (log1p.f64 N) (log.f64 N))
(sqrt.f64 (/.f64 1 (pow.f64 N 2)))
(-.f64 (log.f64 (+.f64 N 1)) (log.f64 N))
(exp.f64 (-.f64 (neg.f64 (log.f64 N)) (/.f64 1/2 N)))
(*.f64 2 (log.f64 (sqrt.f64 (/.f64 (+.f64 N 1) N))))
(*.f64 3 (log.f64 (cbrt.f64 (/.f64 (+.f64 N 1) N))))
(-.f64 (-.f64 (+.f64 1 (log1p.f64 N)) 1) (log.f64 N))
(*.f64 3 (log.f64 (pow.f64 (/.f64 (+.f64 N 1) N) 1/3)))
(exp.f64 (-.f64 (log.f64 (/.f64 1 N)) (*.f64 1/2 (/.f64 1 N))))
(/.f64 (/.f64 (neg.f64 (*.f64 -2 (log.f64 N))) N) (*.f64 (neg.f64 (log.f64 N)) -2))
Outputs
(-.f64 (/.f64 1 N) (/.f64 1/2 (pow.f64 N 2)))
(neg.f64 (log.f64 (/.f64 N (+.f64 N 1))))
Calls

2 calls:

19.0ms
N
6.0ms
(-.f64 (log.f64 (+.f64 N 1)) (log.f64 N))
Results
AccuracySegmentsBranch
97.6%2N
97.6%2(-.f64 (log.f64 (+.f64 N 1)) (log.f64 N))
Compiler

Compiled 156 to 112 computations (28.2% saved)

regimes12.0ms (0.1%)

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

1 calls:

10.0ms
N
Results
AccuracySegmentsBranch
92.5%2N
Compiler

Compiled 41 to 30 computations (26.8% saved)

regimes11.0ms (0.1%)

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

1 calls:

10.0ms
N
Results
AccuracySegmentsBranch
92.3%2N
Compiler

Compiled 34 to 25 computations (26.5% saved)

regimes6.0ms (0.1%)

Counts
6 → 1
Calls
Call 1
Inputs
N
(/.f64 1 N)
(*.f64 3 (/.f64 1/3 N))
(/.f64 3 (*.f64 N 3))
(*.f64 3 (/.f64 1 (/.f64 N 1/3)))
(exp.f64 (/.f64 -1/2 N))
Outputs
(/.f64 1 N)
Calls

1 calls:

5.0ms
N
Results
AccuracySegmentsBranch
85.1%1N
Compiler

Compiled 28 to 21 computations (25% saved)

regimes3.0ms (0%)

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts
1 → 1
Calls
Call 1
Inputs
N
Outputs
N
Calls

1 calls:

3.0ms
N
Results
AccuracySegmentsBranch
8.3%1N
Compiler

Compiled 4 to 2 computations (50% saved)

bsearch1.0ms (0%)

Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.0004739334656989058
0.0005658531873402595
Compiler

Compiled 12 to 9 computations (25% saved)

bsearch0.0ms (0%)

Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.0004739334656989058
0.0005658531873402595
Compiler

Compiled 12 to 9 computations (25% saved)

bsearch0.0ms (0%)

Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.0001275595410454855
0.0001502648175080168
Compiler

Compiled 12 to 9 computations (25% saved)

bsearch0.0ms (0%)

Algorithm
left-value
Steps
TimeLeftRight
0.0ms
8.872739513776651e-5
0.0001275595410454855
Compiler

Compiled 12 to 9 computations (25% saved)

bsearch0.0ms (0%)

Algorithm
left-value
Steps
TimeLeftRight
0.0ms
1.6859122311529973e-6
5.785955748294214e-6
Compiler

Compiled 12 to 9 computations (25% saved)

bsearch7.0ms (0.1%)

Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
7.0ms
117168070.26091973
134068799.82915168
Results
6.0ms48×body256valid
Compiler

Compiled 54 to 42 computations (22.2% saved)

bsearch11.0ms (0.1%)

Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
11.0ms
50019437.17481478
117168070.26091973
Results
10.0ms80×body256valid
Compiler

Compiled 77 to 59 computations (23.4% saved)

simplify19.0ms (0.2%)

Algorithm
egg-herbie
Rules
32×+-commutative
20×sub-neg
16×*-commutative
14×neg-mul-1
14×neg-sub0
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
067695
188695
2104695
3119695
4128695
5132695
6133695
Stop Event
fuel
saturated
Calls
Call 1
Inputs
(if (<=.f64 (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N)) 1152921504606847/2305843009213693952) (+.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))))) (neg.f64 (log.f64 (/.f64 N (+.f64 N 1)))))
(if (<=.f64 (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N)) 1152921504606847/2305843009213693952) (+.f64 (/.f64 1/3 (pow.f64 N 3)) (+.f64 (-.f64 (/.f64 1 N) (/.f64 1/2 (pow.f64 N 2))) (/.f64 -1/4 (pow.f64 N 4)))) (neg.f64 (log.f64 (/.f64 N (+.f64 N 1)))))
(if (<=.f64 (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N)) 5534023222112865/36893488147419103232) (/.f64 (exp.f64 (/.f64 5/24 (pow.f64 N 2))) (*.f64 N (exp.f64 (/.f64 1/2 N)))) (neg.f64 (log.f64 (/.f64 N (+.f64 N 1)))))
(if (<=.f64 (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N)) 7378697629483821/73786976294838206464) (+.f64 (/.f64 1/3 (pow.f64 N 3)) (-.f64 (/.f64 1 N) (/.f64 1/2 (pow.f64 N 2)))) (neg.f64 (log.f64 (/.f64 N (+.f64 N 1)))))
(if (<=.f64 (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N)) 4722366482869645/2361183241434822606848) (-.f64 (/.f64 1 N) (/.f64 1/2 (pow.f64 N 2))) (neg.f64 (log.f64 (/.f64 N (+.f64 N 1)))))
(if (<=.f64 N 130000000) (neg.f64 (log.f64 (/.f64 N (+.f64 N 1)))) (/.f64 1 N))
(if (<=.f64 N 98000000) (log.f64 (/.f64 (+.f64 N 1) N)) (/.f64 1 N))
(/.f64 1 N)
N
Outputs
(if (<=.f64 (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N)) 1152921504606847/2305843009213693952) (+.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))))) (neg.f64 (log.f64 (/.f64 N (+.f64 N 1)))))
(if (<=.f64 (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N)) 1152921504606847/2305843009213693952) (+.f64 (/.f64 1/3 (pow.f64 N 3)) (+.f64 (-.f64 (/.f64 1 N) (/.f64 1/2 (pow.f64 N 2))) (/.f64 -1/4 (pow.f64 N 4)))) (neg.f64 (log.f64 (/.f64 N (+.f64 N 1)))))
(if (<=.f64 (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N)) 5534023222112865/36893488147419103232) (/.f64 (exp.f64 (/.f64 5/24 (pow.f64 N 2))) (*.f64 N (exp.f64 (/.f64 1/2 N)))) (neg.f64 (log.f64 (/.f64 N (+.f64 N 1)))))
(if (<=.f64 (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N)) 7378697629483821/73786976294838206464) (+.f64 (/.f64 1/3 (pow.f64 N 3)) (-.f64 (/.f64 1 N) (/.f64 1/2 (pow.f64 N 2)))) (neg.f64 (log.f64 (/.f64 N (+.f64 N 1)))))
(if (<=.f64 (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N)) 4722366482869645/2361183241434822606848) (-.f64 (/.f64 1 N) (/.f64 1/2 (pow.f64 N 2))) (neg.f64 (log.f64 (/.f64 N (+.f64 N 1)))))
(if (<=.f64 N 130000000) (neg.f64 (log.f64 (/.f64 N (+.f64 N 1)))) (/.f64 1 N))
(if (<=.f64 N 98000000) (log.f64 (/.f64 (+.f64 N 1) N)) (/.f64 1 N))
(/.f64 1 N)
N
Compiler

Compiled 204 to 158 computations (22.5% saved)

soundness3.0s (28.6%)

Rules
2592×fma-def
1462×fma-def
1036×unswap-sqr
1036×unswap-sqr
1036×unswap-sqr
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
017128
133104
265100
3125100
4272100
5525100
680096
7128696
8203596
9345096
10412396
11415196
12417596
13417596
14624996
15668696
16703896
17703896
18744096
19797596
03244880
17984638
224234610
0929
19229
2119729
03244880
17984638
224234610
037335
1601295
0115431380
1324330086
046393
1730345
0108028692
1292326490
0929
19229
2119729
03244880
17984638
224234610
03244880
17984638
224234610
0929
19229
2119729
0115431380
1324330086
090921973
1235720094
0115431380
1324330086
Stop Event
node limit
node limit
node limit
node limit
node limit
node limit
node limit
node limit
node limit
node limit
node limit
node limit
node limit
node limit
node limit
Compiler

Compiled 1594 to 1141 computations (28.4% saved)

end0.0ms (0%)

preprocess124.0ms (1.2%)

Compiler

Compiled 418 to 312 computations (25.4% saved)

Profiling

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