2log (problem 3.3.6)

Time bar (total: 7.5s)

analyze0.0ms (0%)

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

Compiled 15 to 11 computations (26.7% saved)

sample1.5s (19.6%)

Results
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Bogosity

preprocess402.0ms (5.4%)

Algorithm
egg-herbie
Rules
1754×fma-define
1686×fma-neg
986×distribute-rgt-in
946×distribute-lft-in
774×associate-+r+
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
2500-0-(-.f64 (log.f64 (+.f64 N 1)) (log.f64 N))
00-0-1
00-0-(log.f64 N)
00-0-(log.f64 (+.f64 N 1))
00-0-(+.f64 N 1)
00-0-N
Iterations

Useful iterations: 6 (0.0ms)

IterNodesCost
017128
133104
265100
3125100
4272100
5525100
679796
7128396
8202496
9346896
10414196
11416996
12419396
13419396
14627396
15671096
16706296
17706296
18746596
19799996
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
23.1%
(-.f64 (log1p.f64 N) (log.f64 N))
23.1%
(-.f64 (log.f64 (+.f64 N 1)) (log.f64 N))
Compiler

Compiled 14 to 10 computations (28.6% saved)

localize60.0ms (0.8%)

Localize:

Found 3 expressions with local error:

NewAccuracyProgram
100.0%
(log1p.f64 N)
23.1%
(-.f64 (log1p.f64 N) (log.f64 N))
23.1%
(-.f64 (log.f64 (+.f64 N 1)) (log.f64 N))
Compiler

Compiled 30 to 15 computations (50% saved)

series7.0ms (0.1%)

Counts
3 → 36
Calls

9 calls:

TimeVariablePointExpression
1.0ms
N
@-inf
(-.f64 (log.f64 (+.f64 N 1)) (log.f64 N))
1.0ms
N
@inf
(-.f64 (log.f64 (+.f64 N 1)) (log.f64 N))
1.0ms
N
@0
(-.f64 (log.f64 (+.f64 N 1)) (log.f64 N))
1.0ms
N
@-inf
(log1p.f64 N)
1.0ms
N
@inf
(log1p.f64 N)

rewrite228.0ms (3%)

Algorithm
batch-egg-rewrite
Rules
1042×unpow-prod-down
862×prod-diff
624×log1p-expm1-u
624×expm1-log1p-u
558×log-prod
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01350
118150
2175850
Stop Event
node limit
Counts
3 → 274
Calls
Call 1
Inputs
(-.f64 (log.f64 (+.f64 N 1)) (log.f64 N))
(-.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 0 (-.f64 (log1p.f64 N) (log.f64 N)))
(+.f64 (neg.f64 (log.f64 N)) (log1p.f64 N))
(+.f64 (*.f64 2 (*.f64 1/3 (log1p.f64 N))) (log.f64 (/.f64 (cbrt.f64 (+.f64 N 1)) N)))
(+.f64 (*.f64 1/2 (log1p.f64 N)) (log.f64 (/.f64 (sqrt.f64 (+.f64 N 1)) N)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 N 1) N)) 2)) (log.f64 (cbrt.f64 (/.f64 (+.f64 N 1) N))))
(+.f64 (log.f64 (sqrt.f64 (/.f64 (+.f64 N 1) N))) (log.f64 (sqrt.f64 (/.f64 (+.f64 N 1) N))))
(+.f64 (log.f64 (/.f64 1 (pow.f64 (cbrt.f64 N) 2))) (log.f64 (/.f64 (+.f64 N 1) (cbrt.f64 N))))
(+.f64 (log.f64 (/.f64 1 (sqrt.f64 N))) (log.f64 (/.f64 (+.f64 N 1) (sqrt.f64 N))))
(+.f64 (log.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 N 1)) 2) 1)) (log.f64 (/.f64 (cbrt.f64 (+.f64 N 1)) N)))
(+.f64 (log.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 N 1)) 2) (pow.f64 (cbrt.f64 N) 2))) (log.f64 (/.f64 (cbrt.f64 (+.f64 N 1)) (cbrt.f64 N))))
(+.f64 (log.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 N 1)) 2) (sqrt.f64 N))) (log.f64 (/.f64 (cbrt.f64 (+.f64 N 1)) (sqrt.f64 N))))
(+.f64 (log.f64 (/.f64 (sqrt.f64 (+.f64 N 1)) 1)) (log.f64 (/.f64 (sqrt.f64 (+.f64 N 1)) N)))
(+.f64 (log.f64 (/.f64 (sqrt.f64 (+.f64 N 1)) (pow.f64 (cbrt.f64 N) 2))) (log.f64 (/.f64 (sqrt.f64 (+.f64 N 1)) (cbrt.f64 N))))
(+.f64 (log.f64 (/.f64 (sqrt.f64 (+.f64 N 1)) (sqrt.f64 N))) (log.f64 (/.f64 (sqrt.f64 (+.f64 N 1)) (sqrt.f64 N))))
(*.f64 1 (-.f64 (log1p.f64 N) (log.f64 N)))
(*.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 1)
(*.f64 (-.f64 (log1p.f64 N) (log.f64 N)) (log.f64 (exp.f64 1)))
(*.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) 3) (pow.f64 (log.f64 N) 3)) (pow.f64 (/.f64 1 (fma.f64 (log.f64 N) (+.f64 (log1p.f64 N) (log.f64 N)) (pow.f64 (log1p.f64 N) 2))) 1))
(*.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)) (pow.f64 (/.f64 1 (+.f64 (log1p.f64 N) (log.f64 N))) 1))
(*.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 (+.f64 (sqrt.f64 (log1p.f64 N)) (sqrt.f64 (log.f64 N))) 1) (pow.f64 (-.f64 (sqrt.f64 (log1p.f64 N)) (sqrt.f64 (log.f64 N))) 1))
(*.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 (*.f64 (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 2) (pow.f64 (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 (*.f64 (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 2) (sqrt.f64 (-.f64 (log1p.f64 N) (log.f64 N)))) 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 (/.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)
(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)))
(log.f64 (*.f64 (/.f64 1 N) (+.f64 N 1)))
(log.f64 (*.f64 (exp.f64 (neg.f64 (log.f64 N))) (+.f64 N 1)))
(log.f64 (/.f64 (+.f64 N 1) (+.f64 1 (+.f64 N -1))))
(cbrt.f64 (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 3))
(expm1.f64 (log1p.f64 (-.f64 (log1p.f64 N) (log.f64 N))))
(log1p.f64 (-.f64 (/.f64 (+.f64 N 1) N) 1))
(exp.f64 (log.f64 (-.f64 (log1p.f64 N) (log.f64 N))))
(exp.f64 (*.f64 (log.f64 (-.f64 (log1p.f64 N) (log.f64 N))) 1))
(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))
(exp.f64 (*.f64 (*.f64 (log.f64 (-.f64 (log1p.f64 N) (log.f64 N))) 1) 1))
(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 (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 (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))
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(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 (+.f64 (sqrt.f64 (log1p.f64 N)) (sqrt.f64 (log.f64 N))) (-.f64 (sqrt.f64 (log1p.f64 N)) (sqrt.f64 (log.f64 N))) (fma.f64 (neg.f64 (log.f64 N)) 1 (log.f64 N)))
(fma.f64 (+.f64 (sqrt.f64 (log1p.f64 N)) (sqrt.f64 (log.f64 N))) (-.f64 (sqrt.f64 (log1p.f64 N)) (sqrt.f64 (log.f64 N))) (fma.f64 (neg.f64 (cbrt.f64 (log.f64 N))) (pow.f64 (cbrt.f64 (log.f64 N)) 2) (log.f64 N)))
(fma.f64 (+.f64 (sqrt.f64 (log1p.f64 N)) (sqrt.f64 (log.f64 N))) (-.f64 (sqrt.f64 (log1p.f64 N)) (sqrt.f64 (log.f64 N))) (+.f64 (neg.f64 (log.f64 N)) (log.f64 N)))
(fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (log.f64 N)) 2)) (cbrt.f64 (log.f64 N)) (log1p.f64 N))
(+.f64 (log1p.f64 N) 0)
(+.f64 0 (log1p.f64 N))
(+.f64 (*.f64 2 (*.f64 1/3 (log1p.f64 N))) (*.f64 1/3 (log1p.f64 N)))
(+.f64 (*.f64 1/3 (log1p.f64 N)) (*.f64 2 (*.f64 1/3 (log1p.f64 N))))
(+.f64 (*.f64 1/2 (log1p.f64 N)) (*.f64 1/2 (log1p.f64 N)))
(+.f64 (log1p.f64 (pow.f64 N 3)) (log.f64 (/.f64 1 (-.f64 (fma.f64 N N 1) N))))
(+.f64 (log.f64 (fma.f64 N N -1)) (log.f64 (/.f64 1 (+.f64 N -1))))
(-.f64 0 (log.f64 (/.f64 (-.f64 (fma.f64 N N 1) N) (+.f64 1 (pow.f64 N 3)))))
(-.f64 0 (log.f64 (/.f64 (+.f64 N -1) (fma.f64 N N -1))))
(-.f64 (exp.f64 (log1p.f64 (log1p.f64 N))) 1)
(-.f64 (log1p.f64 (pow.f64 N 3)) (log.f64 (-.f64 (fma.f64 N N 1) N)))
(-.f64 (log1p.f64 (pow.f64 N 3)) (log.f64 (+.f64 1 (-.f64 (pow.f64 N 2) N))))
(-.f64 (log.f64 (fma.f64 N N -1)) (log.f64 (+.f64 N -1)))
(-.f64 (log.f64 (neg.f64 (+.f64 1 (pow.f64 N 3)))) (log.f64 (neg.f64 (-.f64 (fma.f64 N N 1) N))))
(-.f64 (log.f64 (neg.f64 (fma.f64 N N -1))) (log.f64 (neg.f64 (+.f64 N -1))))
(-.f64 (log.f64 (-.f64 1 (pow.f64 N 2))) (log1p.f64 (neg.f64 N)))
(*.f64 1 (log1p.f64 N))
(*.f64 (log1p.f64 N) 1)
(*.f64 (log1p.f64 N) (log.f64 (exp.f64 1)))
(*.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 3 (*.f64 1/3 (log1p.f64 N)))
(*.f64 2 (*.f64 1/2 (log1p.f64 N)))
(*.f64 1/3 (*.f64 3 (log1p.f64 N)))
(*.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 (sqrt.f64 (cbrt.f64 (log1p.f64 N))) 3) (pow.f64 (sqrt.f64 (cbrt.f64 (log1p.f64 N))) 3))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (log1p.f64 N) 3)) 1/3) (pow.f64 (sqrt.f64 (pow.f64 (log1p.f64 N) 3)) 1/3))
(*.f64 (pow.f64 (pow.f64 (log1p.f64 N) 3/2) 1/3) (pow.f64 (pow.f64 (log1p.f64 N) 3/2) 1/3))
(*.f64 (pow.f64 (*.f64 (pow.f64 (log1p.f64 N) 2) (pow.f64 (cbrt.f64 (log1p.f64 N)) 2)) 1/3) (cbrt.f64 (cbrt.f64 (log1p.f64 N))))
(*.f64 (pow.f64 (*.f64 (pow.f64 (log1p.f64 N) 2) (sqrt.f64 (log1p.f64 N))) 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)
(neg.f64 (log.f64 (/.f64 (-.f64 (fma.f64 N N 1) N) (+.f64 1 (pow.f64 N 3)))))
(neg.f64 (log.f64 (/.f64 (+.f64 N -1) (fma.f64 N N -1))))
(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 (log1p.f64 N)) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (log1p.f64 N))) 3))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (log1p.f64 N))) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (log1p.f64 N))) 2))
(exp.f64 (*.f64 (*.f64 (log.f64 (log1p.f64 N)) 1) 1))
(exp.f64 (*.f64 (*.f64 (log.f64 (log1p.f64 N)) 3) 1/3))

simplify264.0ms (3.5%)

Algorithm
egg-herbie
Rules
1182×cancel-sign-sub-inv
1032×unswap-sqr
626×times-frac
540×log-prod
476×sub-neg
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
042610734
1103310117
235529000
Stop Event
node limit
Counts
310 → 270
Calls
Call 1
Inputs
(*.f64 -1 (log.f64 N))
(+.f64 N (*.f64 -1 (log.f64 N)))
(+.f64 N (+.f64 (*.f64 -1 (log.f64 N)) (*.f64 -1/2 (pow.f64 N 2))))
(+.f64 N (+.f64 (*.f64 -1 (log.f64 N)) (+.f64 (*.f64 -1/2 (pow.f64 N 2)) (*.f64 1/3 (pow.f64 N 3)))))
(/.f64 1 N)
(-.f64 (/.f64 1 N) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 N 3))) (/.f64 1 N)) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 N 3))) (/.f64 1 N)) (+.f64 (*.f64 1/4 (/.f64 1 (pow.f64 N 4))) (*.f64 1/2 (/.f64 1 (pow.f64 N 2)))))
(/.f64 1 N)
(-.f64 (/.f64 1 N) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 N 3))) (/.f64 1 N)) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 N 3))) (/.f64 1 N)) (+.f64 (*.f64 1/4 (/.f64 1 (pow.f64 N 4))) (*.f64 1/2 (/.f64 1 (pow.f64 N 2)))))
(*.f64 -1 (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 0 (-.f64 (log1p.f64 N) (log.f64 N)))
(+.f64 (neg.f64 (log.f64 N)) (log1p.f64 N))
(+.f64 (*.f64 2 (*.f64 1/3 (log1p.f64 N))) (log.f64 (/.f64 (cbrt.f64 (+.f64 N 1)) N)))
(+.f64 (*.f64 1/2 (log1p.f64 N)) (log.f64 (/.f64 (sqrt.f64 (+.f64 N 1)) N)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 N 1) N)) 2)) (log.f64 (cbrt.f64 (/.f64 (+.f64 N 1) N))))
(+.f64 (log.f64 (sqrt.f64 (/.f64 (+.f64 N 1) N))) (log.f64 (sqrt.f64 (/.f64 (+.f64 N 1) N))))
(+.f64 (log.f64 (/.f64 1 (pow.f64 (cbrt.f64 N) 2))) (log.f64 (/.f64 (+.f64 N 1) (cbrt.f64 N))))
(+.f64 (log.f64 (/.f64 1 (sqrt.f64 N))) (log.f64 (/.f64 (+.f64 N 1) (sqrt.f64 N))))
(+.f64 (log.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 N 1)) 2) 1)) (log.f64 (/.f64 (cbrt.f64 (+.f64 N 1)) N)))
(+.f64 (log.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 N 1)) 2) (pow.f64 (cbrt.f64 N) 2))) (log.f64 (/.f64 (cbrt.f64 (+.f64 N 1)) (cbrt.f64 N))))
(+.f64 (log.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 N 1)) 2) (sqrt.f64 N))) (log.f64 (/.f64 (cbrt.f64 (+.f64 N 1)) (sqrt.f64 N))))
(+.f64 (log.f64 (/.f64 (sqrt.f64 (+.f64 N 1)) 1)) (log.f64 (/.f64 (sqrt.f64 (+.f64 N 1)) N)))
(+.f64 (log.f64 (/.f64 (sqrt.f64 (+.f64 N 1)) (pow.f64 (cbrt.f64 N) 2))) (log.f64 (/.f64 (sqrt.f64 (+.f64 N 1)) (cbrt.f64 N))))
(+.f64 (log.f64 (/.f64 (sqrt.f64 (+.f64 N 1)) (sqrt.f64 N))) (log.f64 (/.f64 (sqrt.f64 (+.f64 N 1)) (sqrt.f64 N))))
(*.f64 1 (-.f64 (log1p.f64 N) (log.f64 N)))
(*.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 1)
(*.f64 (-.f64 (log1p.f64 N) (log.f64 N)) (log.f64 (exp.f64 1)))
(*.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) 3) (pow.f64 (log.f64 N) 3)) (pow.f64 (/.f64 1 (fma.f64 (log.f64 N) (+.f64 (log1p.f64 N) (log.f64 N)) (pow.f64 (log1p.f64 N) 2))) 1))
(*.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)) (pow.f64 (/.f64 1 (+.f64 (log1p.f64 N) (log.f64 N))) 1))
(*.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 (+.f64 (sqrt.f64 (log1p.f64 N)) (sqrt.f64 (log.f64 N))) 1) (pow.f64 (-.f64 (sqrt.f64 (log1p.f64 N)) (sqrt.f64 (log.f64 N))) 1))
(*.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 (*.f64 (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 2) (pow.f64 (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 (*.f64 (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 2) (sqrt.f64 (-.f64 (log1p.f64 N) (log.f64 N)))) 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 (/.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)
(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)))
(log.f64 (*.f64 (/.f64 1 N) (+.f64 N 1)))
(log.f64 (*.f64 (exp.f64 (neg.f64 (log.f64 N))) (+.f64 N 1)))
(log.f64 (/.f64 (+.f64 N 1) (+.f64 1 (+.f64 N -1))))
(cbrt.f64 (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 3))
(expm1.f64 (log1p.f64 (-.f64 (log1p.f64 N) (log.f64 N))))
(log1p.f64 (-.f64 (/.f64 (+.f64 N 1) N) 1))
(exp.f64 (log.f64 (-.f64 (log1p.f64 N) (log.f64 N))))
(exp.f64 (*.f64 (log.f64 (-.f64 (log1p.f64 N) (log.f64 N))) 1))
(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))
(exp.f64 (*.f64 (*.f64 (log.f64 (-.f64 (log1p.f64 N) (log.f64 N))) 1) 1))
(fma.f64 1 (log1p.f64 N) (neg.f64 (log.f64 N)))
(fma.f64 1 (log1p.f64 N) (*.f64 (neg.f64 (log.f64 N)) 1))
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(fma.f64 (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))) 2) (cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))) (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 -1 (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 (+.f64 (sqrt.f64 (log1p.f64 N)) (sqrt.f64 (log.f64 N))) (-.f64 (sqrt.f64 (log1p.f64 N)) (sqrt.f64 (log.f64 N))) (fma.f64 (neg.f64 (log.f64 N)) 1 (log.f64 N)))
(fma.f64 (+.f64 (sqrt.f64 (log1p.f64 N)) (sqrt.f64 (log.f64 N))) (-.f64 (sqrt.f64 (log1p.f64 N)) (sqrt.f64 (log.f64 N))) (fma.f64 (neg.f64 (cbrt.f64 (log.f64 N))) (pow.f64 (cbrt.f64 (log.f64 N)) 2) (log.f64 N)))
(fma.f64 (+.f64 (sqrt.f64 (log1p.f64 N)) (sqrt.f64 (log.f64 N))) (-.f64 (sqrt.f64 (log1p.f64 N)) (sqrt.f64 (log.f64 N))) (+.f64 (neg.f64 (log.f64 N)) (log.f64 N)))
(fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (log.f64 N)) 2)) (cbrt.f64 (log.f64 N)) (log1p.f64 N))
(+.f64 (log1p.f64 N) 0)
(+.f64 0 (log1p.f64 N))
(+.f64 (*.f64 2 (*.f64 1/3 (log1p.f64 N))) (*.f64 1/3 (log1p.f64 N)))
(+.f64 (*.f64 1/3 (log1p.f64 N)) (*.f64 2 (*.f64 1/3 (log1p.f64 N))))
(+.f64 (*.f64 1/2 (log1p.f64 N)) (*.f64 1/2 (log1p.f64 N)))
(+.f64 (log1p.f64 (pow.f64 N 3)) (log.f64 (/.f64 1 (-.f64 (fma.f64 N N 1) N))))
(+.f64 (log.f64 (fma.f64 N N -1)) (log.f64 (/.f64 1 (+.f64 N -1))))
(-.f64 0 (log.f64 (/.f64 (-.f64 (fma.f64 N N 1) N) (+.f64 1 (pow.f64 N 3)))))
(-.f64 0 (log.f64 (/.f64 (+.f64 N -1) (fma.f64 N N -1))))
(-.f64 (exp.f64 (log1p.f64 (log1p.f64 N))) 1)
(-.f64 (log1p.f64 (pow.f64 N 3)) (log.f64 (-.f64 (fma.f64 N N 1) N)))
(-.f64 (log1p.f64 (pow.f64 N 3)) (log.f64 (+.f64 1 (-.f64 (pow.f64 N 2) N))))
(-.f64 (log.f64 (fma.f64 N N -1)) (log.f64 (+.f64 N -1)))
(-.f64 (log.f64 (neg.f64 (+.f64 1 (pow.f64 N 3)))) (log.f64 (neg.f64 (-.f64 (fma.f64 N N 1) N))))
(-.f64 (log.f64 (neg.f64 (fma.f64 N N -1))) (log.f64 (neg.f64 (+.f64 N -1))))
(-.f64 (log.f64 (-.f64 1 (pow.f64 N 2))) (log1p.f64 (neg.f64 N)))
(*.f64 1 (log1p.f64 N))
(*.f64 (log1p.f64 N) 1)
(*.f64 (log1p.f64 N) (log.f64 (exp.f64 1)))
(*.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 3 (*.f64 1/3 (log1p.f64 N)))
(*.f64 2 (*.f64 1/2 (log1p.f64 N)))
(*.f64 1/3 (*.f64 3 (log1p.f64 N)))
(*.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 (sqrt.f64 (cbrt.f64 (log1p.f64 N))) 3) (pow.f64 (sqrt.f64 (cbrt.f64 (log1p.f64 N))) 3))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (log1p.f64 N) 3)) 1/3) (pow.f64 (sqrt.f64 (pow.f64 (log1p.f64 N) 3)) 1/3))
(*.f64 (pow.f64 (pow.f64 (log1p.f64 N) 3/2) 1/3) (pow.f64 (pow.f64 (log1p.f64 N) 3/2) 1/3))
(*.f64 (pow.f64 (*.f64 (pow.f64 (log1p.f64 N) 2) (pow.f64 (cbrt.f64 (log1p.f64 N)) 2)) 1/3) (cbrt.f64 (cbrt.f64 (log1p.f64 N))))
(*.f64 (pow.f64 (*.f64 (pow.f64 (log1p.f64 N) 2) (sqrt.f64 (log1p.f64 N))) 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)
(neg.f64 (log.f64 (/.f64 (-.f64 (fma.f64 N N 1) N) (+.f64 1 (pow.f64 N 3)))))
(neg.f64 (log.f64 (/.f64 (+.f64 N -1) (fma.f64 N N -1))))
(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 (log1p.f64 N)) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (log1p.f64 N))) 3))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (log1p.f64 N))) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (log1p.f64 N))) 2))
(exp.f64 (*.f64 (*.f64 (log.f64 (log1p.f64 N)) 1) 1))
(exp.f64 (*.f64 (*.f64 (log.f64 (log1p.f64 N)) 3) 1/3))
Outputs
(*.f64 -1 (log.f64 N))
(neg.f64 (log.f64 N))
(+.f64 N (*.f64 -1 (log.f64 N)))
(+.f64 N (neg.f64 (log.f64 N)))
(-.f64 N (log.f64 N))
(+.f64 N (+.f64 (*.f64 -1 (log.f64 N)) (*.f64 -1/2 (pow.f64 N 2))))
(+.f64 N (fma.f64 -1 (log.f64 N) (*.f64 -1/2 (pow.f64 N 2))))
(+.f64 (*.f64 -1/2 (pow.f64 N 2)) (-.f64 N (log.f64 N)))
(-.f64 (fma.f64 -1/2 (pow.f64 N 2) N) (log.f64 N))
(+.f64 N (+.f64 (*.f64 -1 (log.f64 N)) (+.f64 (*.f64 -1/2 (pow.f64 N 2)) (*.f64 1/3 (pow.f64 N 3)))))
(+.f64 N (fma.f64 -1 (log.f64 N) (fma.f64 -1/2 (pow.f64 N 2) (*.f64 1/3 (pow.f64 N 3)))))
(+.f64 N (-.f64 (fma.f64 -1/2 (pow.f64 N 2) (*.f64 1/3 (pow.f64 N 3))) (log.f64 N)))
(+.f64 (fma.f64 -1/2 (pow.f64 N 2) (*.f64 1/3 (pow.f64 N 3))) (-.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 1 N) (+.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 -1/2 (pow.f64 N 2))))
(-.f64 (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 N 3))) (/.f64 1 N)) (+.f64 (*.f64 1/4 (/.f64 1 (pow.f64 N 4))) (*.f64 1/2 (/.f64 1 (pow.f64 N 2)))))
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (-.f64 (/.f64 1 N) (+.f64 (/.f64 1/2 (pow.f64 N 2)) (/.f64 1/4 (pow.f64 N 4)))))
(+.f64 (/.f64 1 N) (+.f64 (/.f64 1/3 (pow.f64 N 3)) (-.f64 (/.f64 -1/2 (pow.f64 N 2)) (/.f64 1/4 (pow.f64 N 4)))))
(/.f64 1 N)
(-.f64 (/.f64 1 N) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (/.f64 1 N) (/.f64 1/2 (pow.f64 N 2)))
(+.f64 (/.f64 1 N) (/.f64 -1/2 (pow.f64 N 2)))
(-.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 1 N) (+.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 -1/2 (pow.f64 N 2))))
(-.f64 (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 N 3))) (/.f64 1 N)) (+.f64 (*.f64 1/4 (/.f64 1 (pow.f64 N 4))) (*.f64 1/2 (/.f64 1 (pow.f64 N 2)))))
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (-.f64 (/.f64 1 N) (+.f64 (/.f64 1/2 (pow.f64 N 2)) (/.f64 1/4 (pow.f64 N 4)))))
(+.f64 (/.f64 1 N) (+.f64 (/.f64 1/3 (pow.f64 N 3)) (-.f64 (/.f64 -1/2 (pow.f64 N 2)) (/.f64 1/4 (pow.f64 N 4)))))
(*.f64 -1 (log.f64 N))
(neg.f64 (log.f64 N))
(+.f64 N (*.f64 -1 (log.f64 N)))
(+.f64 N (neg.f64 (log.f64 N)))
(-.f64 N (log.f64 N))
(+.f64 N (+.f64 (*.f64 -1 (log.f64 N)) (*.f64 -1/2 (pow.f64 N 2))))
(+.f64 N (fma.f64 -1 (log.f64 N) (*.f64 -1/2 (pow.f64 N 2))))
(+.f64 (*.f64 -1/2 (pow.f64 N 2)) (-.f64 N (log.f64 N)))
(-.f64 (fma.f64 -1/2 (pow.f64 N 2) N) (log.f64 N))
(+.f64 N (+.f64 (*.f64 -1 (log.f64 N)) (+.f64 (*.f64 -1/2 (pow.f64 N 2)) (*.f64 1/3 (pow.f64 N 3)))))
(+.f64 N (fma.f64 -1 (log.f64 N) (fma.f64 -1/2 (pow.f64 N 2) (*.f64 1/3 (pow.f64 N 3)))))
(+.f64 N (-.f64 (fma.f64 -1/2 (pow.f64 N 2) (*.f64 1/3 (pow.f64 N 3))) (log.f64 N)))
(+.f64 (fma.f64 -1/2 (pow.f64 N 2) (*.f64 1/3 (pow.f64 N 3))) (-.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 1 N) (+.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 -1/2 (pow.f64 N 2))))
(-.f64 (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 N 3))) (/.f64 1 N)) (+.f64 (*.f64 1/4 (/.f64 1 (pow.f64 N 4))) (*.f64 1/2 (/.f64 1 (pow.f64 N 2)))))
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (-.f64 (/.f64 1 N) (+.f64 (/.f64 1/2 (pow.f64 N 2)) (/.f64 1/4 (pow.f64 N 4)))))
(+.f64 (/.f64 1 N) (+.f64 (/.f64 1/3 (pow.f64 N 3)) (-.f64 (/.f64 -1/2 (pow.f64 N 2)) (/.f64 1/4 (pow.f64 N 4)))))
(/.f64 1 N)
(-.f64 (/.f64 1 N) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (/.f64 1 N) (/.f64 1/2 (pow.f64 N 2)))
(+.f64 (/.f64 1 N) (/.f64 -1/2 (pow.f64 N 2)))
(-.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 1 N) (+.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 -1/2 (pow.f64 N 2))))
(-.f64 (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 N 3))) (/.f64 1 N)) (+.f64 (*.f64 1/4 (/.f64 1 (pow.f64 N 4))) (*.f64 1/2 (/.f64 1 (pow.f64 N 2)))))
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (-.f64 (/.f64 1 N) (+.f64 (/.f64 1/2 (pow.f64 N 2)) (/.f64 1/4 (pow.f64 N 4)))))
(+.f64 (/.f64 1 N) (+.f64 (/.f64 1/3 (pow.f64 N 3)) (-.f64 (/.f64 -1/2 (pow.f64 N 2)) (/.f64 1/4 (pow.f64 N 4)))))
N
(+.f64 N (*.f64 -1/2 (pow.f64 N 2)))
(fma.f64 -1/2 (pow.f64 N 2) N)
(+.f64 N (+.f64 (*.f64 -1/2 (pow.f64 N 2)) (*.f64 1/3 (pow.f64 N 3))))
(+.f64 N (fma.f64 -1/2 (pow.f64 N 2) (*.f64 1/3 (pow.f64 N 3))))
(+.f64 (*.f64 1/3 (pow.f64 N 3)) (fma.f64 -1/2 (pow.f64 N 2) N))
(+.f64 N (+.f64 (*.f64 -1/2 (pow.f64 N 2)) (+.f64 (*.f64 -1/4 (pow.f64 N 4)) (*.f64 1/3 (pow.f64 N 3)))))
(+.f64 N (fma.f64 -1/2 (pow.f64 N 2) (fma.f64 -1/4 (pow.f64 N 4) (*.f64 1/3 (pow.f64 N 3)))))
(+.f64 N (fma.f64 -1/2 (pow.f64 N 2) (fma.f64 1/3 (pow.f64 N 3) (*.f64 (pow.f64 N 4) -1/4))))
(*.f64 -1 (log.f64 (/.f64 1 N)))
(neg.f64 (neg.f64 (log.f64 N)))
(log.f64 N)
(+.f64 (*.f64 -1 (log.f64 (/.f64 1 N))) (/.f64 1 N))
(fma.f64 -1 (neg.f64 (log.f64 N)) (/.f64 1 N))
(+.f64 (log.f64 N) (/.f64 1 N))
(-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 N))) (/.f64 1 N)) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (fma.f64 -1 (neg.f64 (log.f64 N)) (/.f64 1 N)) (/.f64 1/2 (pow.f64 N 2)))
(+.f64 (log.f64 N) (+.f64 (/.f64 1 N) (/.f64 -1/2 (pow.f64 N 2))))
(-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 N))) (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 N 3))) (/.f64 1 N))) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (fma.f64 -1 (neg.f64 (log.f64 N)) (+.f64 (/.f64 1 N) (/.f64 1/3 (pow.f64 N 3)))) (/.f64 1/2 (pow.f64 N 2)))
(+.f64 (log.f64 N) (+.f64 (/.f64 1 N) (-.f64 (/.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 (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))))
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(fma.f64 (+.f64 (sqrt.f64 (log1p.f64 N)) (sqrt.f64 (log.f64 N))) (-.f64 (sqrt.f64 (log1p.f64 N)) (sqrt.f64 (log.f64 N))) (+.f64 (neg.f64 (log.f64 N)) (log.f64 N)))
(-.f64 (log1p.f64 N) (log.f64 N))
(log.f64 (+.f64 1 (/.f64 1 N)))
(log1p.f64 (/.f64 1 N))
(fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (log.f64 N)) 2)) (cbrt.f64 (log.f64 N)) (log1p.f64 N))
(-.f64 (log1p.f64 N) (log.f64 N))
(log.f64 (+.f64 1 (/.f64 1 N)))
(log1p.f64 (/.f64 1 N))
(+.f64 (log1p.f64 N) 0)
(log1p.f64 N)
(+.f64 0 (log1p.f64 N))
(log1p.f64 N)
(+.f64 (*.f64 2 (*.f64 1/3 (log1p.f64 N))) (*.f64 1/3 (log1p.f64 N)))
(log1p.f64 N)
(+.f64 (*.f64 1/3 (log1p.f64 N)) (*.f64 2 (*.f64 1/3 (log1p.f64 N))))
(log1p.f64 N)
(+.f64 (*.f64 1/2 (log1p.f64 N)) (*.f64 1/2 (log1p.f64 N)))
(log1p.f64 N)
(+.f64 (log1p.f64 (pow.f64 N 3)) (log.f64 (/.f64 1 (-.f64 (fma.f64 N N 1) N))))
(-.f64 (log1p.f64 (pow.f64 N 3)) (log.f64 (-.f64 (fma.f64 N N 1) N)))
(-.f64 (log1p.f64 (pow.f64 N 3)) (log1p.f64 (-.f64 (pow.f64 N 2) N)))
(-.f64 (log1p.f64 (pow.f64 N 3)) (log1p.f64 (*.f64 N (+.f64 -1 N))))
(+.f64 (log.f64 (fma.f64 N N -1)) (log.f64 (/.f64 1 (+.f64 N -1))))
(-.f64 (log.f64 (fma.f64 N N -1)) (log.f64 (+.f64 -1 N)))
(-.f64 0 (log.f64 (/.f64 (-.f64 (fma.f64 N N 1) N) (+.f64 1 (pow.f64 N 3)))))
(-.f64 (log1p.f64 (pow.f64 N 3)) (log.f64 (-.f64 (fma.f64 N N 1) N)))
(-.f64 (log1p.f64 (pow.f64 N 3)) (log1p.f64 (-.f64 (pow.f64 N 2) N)))
(-.f64 (log1p.f64 (pow.f64 N 3)) (log1p.f64 (*.f64 N (+.f64 -1 N))))
(-.f64 0 (log.f64 (/.f64 (+.f64 N -1) (fma.f64 N N -1))))
(-.f64 (log.f64 (fma.f64 N N -1)) (log.f64 (+.f64 -1 N)))
(-.f64 (exp.f64 (log1p.f64 (log1p.f64 N))) 1)
(expm1.f64 (log1p.f64 (log1p.f64 N)))
(-.f64 (log1p.f64 (pow.f64 N 3)) (log.f64 (-.f64 (fma.f64 N N 1) N)))
(-.f64 (log1p.f64 (pow.f64 N 3)) (log1p.f64 (-.f64 (pow.f64 N 2) N)))
(-.f64 (log1p.f64 (pow.f64 N 3)) (log1p.f64 (*.f64 N (+.f64 -1 N))))
(-.f64 (log1p.f64 (pow.f64 N 3)) (log.f64 (+.f64 1 (-.f64 (pow.f64 N 2) N))))
(-.f64 (log1p.f64 (pow.f64 N 3)) (log.f64 (-.f64 (fma.f64 N N 1) N)))
(-.f64 (log1p.f64 (pow.f64 N 3)) (log1p.f64 (-.f64 (pow.f64 N 2) N)))
(-.f64 (log1p.f64 (pow.f64 N 3)) (log1p.f64 (*.f64 N (+.f64 -1 N))))
(-.f64 (log.f64 (fma.f64 N N -1)) (log.f64 (+.f64 N -1)))
(-.f64 (log.f64 (fma.f64 N N -1)) (log.f64 (+.f64 -1 N)))
(-.f64 (log.f64 (neg.f64 (+.f64 1 (pow.f64 N 3)))) (log.f64 (neg.f64 (-.f64 (fma.f64 N N 1) N))))
(-.f64 (log.f64 (+.f64 -1 (neg.f64 (pow.f64 N 3)))) (log.f64 (neg.f64 (-.f64 (fma.f64 N N 1) N))))
(-.f64 (log.f64 (-.f64 -1 (pow.f64 N 3))) (log.f64 (neg.f64 (-.f64 (fma.f64 N N 1) N))))
(-.f64 (log.f64 (-.f64 -1 (pow.f64 N 3))) (log.f64 (+.f64 (neg.f64 (fma.f64 N N 1)) N)))
(-.f64 (log.f64 (neg.f64 (fma.f64 N N -1))) (log.f64 (neg.f64 (+.f64 N -1))))
(-.f64 (log.f64 (neg.f64 (fma.f64 N N -1))) (log.f64 (neg.f64 (+.f64 -1 N))))
(-.f64 (log1p.f64 (neg.f64 (pow.f64 N 2))) (log1p.f64 (neg.f64 N)))
(-.f64 (log.f64 (-.f64 1 (pow.f64 N 2))) (log1p.f64 (neg.f64 N)))
(-.f64 (log.f64 (neg.f64 (fma.f64 N N -1))) (log.f64 (neg.f64 (+.f64 -1 N))))
(-.f64 (log1p.f64 (neg.f64 (pow.f64 N 2))) (log1p.f64 (neg.f64 N)))
(*.f64 1 (log1p.f64 N))
(log1p.f64 N)
(*.f64 (log1p.f64 N) 1)
(log1p.f64 N)
(*.f64 (log1p.f64 N) (log.f64 (exp.f64 1)))
(log1p.f64 N)
(*.f64 (cbrt.f64 (log1p.f64 N)) (pow.f64 (cbrt.f64 (log1p.f64 N)) 2))
(log1p.f64 N)
(*.f64 (pow.f64 (cbrt.f64 (log1p.f64 N)) 2) (cbrt.f64 (log1p.f64 N)))
(log1p.f64 N)
(*.f64 (sqrt.f64 (log1p.f64 N)) (sqrt.f64 (log1p.f64 N)))
(log1p.f64 N)
(*.f64 3 (*.f64 1/3 (log1p.f64 N)))
(log1p.f64 N)
(*.f64 2 (*.f64 1/2 (log1p.f64 N)))
(log1p.f64 N)
(*.f64 1/3 (*.f64 3 (log1p.f64 N)))
(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 (sqrt.f64 (cbrt.f64 (log1p.f64 N))) 3) (pow.f64 (sqrt.f64 (cbrt.f64 (log1p.f64 N))) 3))
(log1p.f64 N)
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (log1p.f64 N) 3)) 1/3) (pow.f64 (sqrt.f64 (pow.f64 (log1p.f64 N) 3)) 1/3))
(*.f64 (cbrt.f64 (sqrt.f64 (pow.f64 (log1p.f64 N) 3))) (cbrt.f64 (sqrt.f64 (pow.f64 (log1p.f64 N) 3))))
(*.f64 (cbrt.f64 (pow.f64 (log1p.f64 N) 3/2)) (cbrt.f64 (pow.f64 (log1p.f64 N) 3/2)))
(*.f64 (pow.f64 (pow.f64 (log1p.f64 N) 3/2) 1/3) (pow.f64 (pow.f64 (log1p.f64 N) 3/2) 1/3))
(*.f64 (cbrt.f64 (sqrt.f64 (pow.f64 (log1p.f64 N) 3))) (cbrt.f64 (sqrt.f64 (pow.f64 (log1p.f64 N) 3))))
(*.f64 (cbrt.f64 (pow.f64 (log1p.f64 N) 3/2)) (cbrt.f64 (pow.f64 (log1p.f64 N) 3/2)))
(*.f64 (pow.f64 (*.f64 (pow.f64 (log1p.f64 N) 2) (pow.f64 (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 (*.f64 (pow.f64 (log1p.f64 N) 2) (pow.f64 (cbrt.f64 (log1p.f64 N)) 2))))
(*.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 N))) (cbrt.f64 (*.f64 (pow.f64 (cbrt.f64 (log1p.f64 N)) 7) (cbrt.f64 (log1p.f64 N)))))
(*.f64 (pow.f64 (*.f64 (pow.f64 (log1p.f64 N) 2) (sqrt.f64 (log1p.f64 N))) 1/3) (cbrt.f64 (sqrt.f64 (log1p.f64 N))))
(*.f64 (cbrt.f64 (*.f64 (pow.f64 (log1p.f64 N) 2) (sqrt.f64 (log1p.f64 N)))) (cbrt.f64 (sqrt.f64 (log1p.f64 N))))
(*.f64 (cbrt.f64 (pow.f64 (sqrt.f64 (log1p.f64 N)) 5)) (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)
(neg.f64 (log.f64 (/.f64 (-.f64 (fma.f64 N N 1) N) (+.f64 1 (pow.f64 N 3)))))
(-.f64 (log1p.f64 (pow.f64 N 3)) (log.f64 (-.f64 (fma.f64 N N 1) N)))
(-.f64 (log1p.f64 (pow.f64 N 3)) (log1p.f64 (-.f64 (pow.f64 N 2) N)))
(-.f64 (log1p.f64 (pow.f64 N 3)) (log1p.f64 (*.f64 N (+.f64 -1 N))))
(neg.f64 (log.f64 (/.f64 (+.f64 N -1) (fma.f64 N N -1))))
(-.f64 (log.f64 (fma.f64 N N -1)) (log.f64 (+.f64 -1 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)))
(exp.f64 (log.f64 (log1p.f64 N)))
(log1p.f64 N)
(exp.f64 (*.f64 (log.f64 (log1p.f64 N)) 1))
(log1p.f64 N)
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (log1p.f64 N))) 3))
(log1p.f64 N)
(exp.f64 (*.f64 (*.f64 3 (log.f64 (log1p.f64 N))) 1/3))
(log1p.f64 N)
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (log1p.f64 N))) 2))
(log1p.f64 N)
(exp.f64 (*.f64 (*.f64 (log.f64 (log1p.f64 N)) 1) 1))
(log1p.f64 N)
(exp.f64 (*.f64 (*.f64 (log.f64 (log1p.f64 N)) 3) 1/3))
(log1p.f64 N)

eval70.0ms (0.9%)

Compiler

Compiled 3887 to 2007 computations (48.4% saved)

prune41.0ms (0.6%)

Pruning

9 alts after pruning (9 fresh and 0 done)

PrunedKeptTotal
New2619270
Fresh000
Picked202
Done000
Total2639272
Accuracy
99.9%
Counts
272 → 9
Alt Table
Click to see full alt table
StatusAccuracyProgram
85.1%
(/.f64 1 N)
93.0%
(-.f64 (/.f64 1 N) (/.f64 1/2 (pow.f64 N 2)))
95.9%
(+.f64 (/.f64 1 N) (-.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 1/2 (pow.f64 N 2))))
95.9%
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (-.f64 (/.f64 1 N) (/.f64 1/2 (pow.f64 N 2))))
97.2%
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (-.f64 (/.f64 1 N) (+.f64 (/.f64 1/2 (pow.f64 N 2)) (/.f64 1/4 (pow.f64 N 4)))))
23.6%
(+.f64 (log.f64 (/.f64 1 (sqrt.f64 N))) (log.f64 (/.f64 (+.f64 N 1) (sqrt.f64 N))))
98.4%
(*.f64 (cbrt.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 3/2)) (cbrt.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 3/2)))
27.0%
(neg.f64 (log.f64 (/.f64 N (+.f64 N 1))))
99.8%
(log1p.f64 (/.f64 1 N))
Compiler

Compiled 222 to 178 computations (19.8% saved)

localize247.0ms (3.3%)

Localize:

Found 11 expressions with local error:

NewAccuracyProgram
99.9%
(log.f64 (/.f64 (+.f64 N 1) (sqrt.f64 N)))
99.5%
(/.f64 1 (sqrt.f64 N))
99.4%
(/.f64 (+.f64 N 1) (sqrt.f64 N))
23.6%
(+.f64 (log.f64 (/.f64 1 (sqrt.f64 N))) (log.f64 (/.f64 (+.f64 N 1) (sqrt.f64 N))))
99.8%
(+.f64 (/.f64 1 N) (-.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 1/2 (pow.f64 N 2))))
99.8%
(-.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 1/2 (pow.f64 N 2)))
99.7%
(/.f64 1/2 (pow.f64 N 2))
99.4%
(/.f64 1/3 (pow.f64 N 3))
99.8%
(-.f64 (/.f64 1 N) (/.f64 1/2 (pow.f64 N 2)))
99.7%
(/.f64 1/2 (pow.f64 N 2))
99.8%
(log1p.f64 (/.f64 1 N))
Compiler

Compiled 133 to 93 computations (30.1% saved)

series24.0ms (0.3%)

Counts
11 → 48
Calls

33 calls:

TimeVariablePointExpression
2.0ms
N
@0
(/.f64 1/2 (pow.f64 N 2))
1.0ms
N
@0
(/.f64 1/3 (pow.f64 N 3))
1.0ms
N
@0
(/.f64 1/2 (pow.f64 N 2))
1.0ms
N
@0
(+.f64 (log.f64 (/.f64 1 (sqrt.f64 N))) (log.f64 (/.f64 (+.f64 N 1) (sqrt.f64 N))))
1.0ms
N
@-inf
(+.f64 (log.f64 (/.f64 1 (sqrt.f64 N))) (log.f64 (/.f64 (+.f64 N 1) (sqrt.f64 N))))

rewrite284.0ms (3.8%)

Algorithm
batch-egg-rewrite
Rules
845×log1p-expm1-u
268×associate-*r*
230×frac-times
203×expm1-log1p-u
194×add-cube-cbrt
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
027292
1446255
26976255
Stop Event
node limit
Counts
11 → 376
Calls
Call 1
Inputs
(log1p.f64 (/.f64 1 N))
(/.f64 1/2 (pow.f64 N 2))
(-.f64 (/.f64 1 N) (/.f64 1/2 (pow.f64 N 2)))
(/.f64 1/3 (pow.f64 N 3))
(/.f64 1/2 (pow.f64 N 2))
(-.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 1/2 (pow.f64 N 2)))
(+.f64 (/.f64 1 N) (-.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 1/2 (pow.f64 N 2))))
(+.f64 (log.f64 (/.f64 1 (sqrt.f64 N))) (log.f64 (/.f64 (+.f64 N 1) (sqrt.f64 N))))
(/.f64 (+.f64 N 1) (sqrt.f64 N))
(/.f64 1 (sqrt.f64 N))
(log.f64 (/.f64 (+.f64 N 1) (sqrt.f64 N)))
Outputs
(-.f64 (exp.f64 (log1p.f64 (log1p.f64 (/.f64 1 N)))) 1)
(*.f64 1 (log1p.f64 (/.f64 1 N)))
(*.f64 (log1p.f64 (/.f64 1 N)) 1)
(*.f64 (cbrt.f64 (log1p.f64 (/.f64 1 N))) (pow.f64 (cbrt.f64 (log1p.f64 (/.f64 1 N))) 2))
(*.f64 (pow.f64 (cbrt.f64 (log1p.f64 (/.f64 1 N))) 2) (cbrt.f64 (log1p.f64 (/.f64 1 N))))
(*.f64 (sqrt.f64 (log1p.f64 (/.f64 1 N))) (sqrt.f64 (log1p.f64 (/.f64 1 N))))
(pow.f64 (log1p.f64 (/.f64 1 N)) 1)
(pow.f64 (cbrt.f64 (log1p.f64 (/.f64 1 N))) 3)
(pow.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 3) 1/3)
(pow.f64 (sqrt.f64 (log1p.f64 (/.f64 1 N))) 2)
(sqrt.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 2))
(log.f64 (+.f64 1 (/.f64 1 N)))
(cbrt.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 3))
(expm1.f64 (log1p.f64 (log1p.f64 (/.f64 1 N))))
(exp.f64 (log.f64 (log1p.f64 (/.f64 1 N))))
(exp.f64 (*.f64 (log.f64 (log1p.f64 (/.f64 1 N))) 1))
(-.f64 (exp.f64 (log1p.f64 (*.f64 1/2 (pow.f64 N -2)))) 1)
(*.f64 1 (*.f64 1/2 (pow.f64 N -2)))
(*.f64 1/2 (pow.f64 N -2))
(*.f64 (*.f64 1/2 (pow.f64 N -2)) 1)
(*.f64 (cbrt.f64 (*.f64 1/2 (pow.f64 N -2))) (cbrt.f64 (/.f64 1/4 (pow.f64 N 4))))
(*.f64 (cbrt.f64 (/.f64 1/4 (pow.f64 N 4))) (cbrt.f64 (*.f64 1/2 (pow.f64 N -2))))
(*.f64 (/.f64 (sqrt.f64 1/2) N) (/.f64 (sqrt.f64 1/2) N))
(*.f64 -1/2 (/.f64 1 (neg.f64 (pow.f64 N 2))))
(*.f64 (pow.f64 N -2) 1/2)
(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 (sqrt.f64 1/2) N) 2)
(pow.f64 (/.f64 1/8 (pow.f64 N 6)) 1/3)
(pow.f64 (*.f64 (pow.f64 N 2) 2) -1)
(neg.f64 (*.f64 -1/2 (pow.f64 N -2)))
(sqrt.f64 (/.f64 1/4 (pow.f64 N 4)))
(log.f64 (pow.f64 (exp.f64 1/2) (pow.f64 N -2)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 1/2 (pow.f64 N -2)))))
(cbrt.f64 (/.f64 1/8 (pow.f64 N 6)))
(expm1.f64 (log1p.f64 (*.f64 1/2 (pow.f64 N -2))))
(log1p.f64 (expm1.f64 (*.f64 1/2 (pow.f64 N -2))))
(exp.f64 (log.f64 (*.f64 1/2 (pow.f64 N -2))))
(exp.f64 (*.f64 (log.f64 (*.f64 1/2 (pow.f64 N -2))) 1))
(+.f64 (/.f64 1 N) (*.f64 -1/2 (pow.f64 N -2)))
(+.f64 (/.f64 1 N) (*.f64 (*.f64 -1/2 (pow.f64 N -2)) 1))
(+.f64 (+.f64 (/.f64 1 N) (*.f64 -1/2 (pow.f64 N -2))) (fma.f64 (*.f64 -1/2 (pow.f64 N -2)) 1 (*.f64 1/2 (pow.f64 N -2))))
(+.f64 (+.f64 (/.f64 1 N) (*.f64 -1/2 (pow.f64 N -2))) (fma.f64 (neg.f64 (pow.f64 N -2)) 1/2 (*.f64 1/2 (pow.f64 N -2))))
(+.f64 (+.f64 (/.f64 1 N) (*.f64 -1/2 (pow.f64 N -2))) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 1/2 (pow.f64 N -2)))) (cbrt.f64 (/.f64 1/4 (pow.f64 N 4))) (*.f64 1/2 (pow.f64 N -2))))
(+.f64 (+.f64 (/.f64 1 N) (*.f64 -1/2 (pow.f64 N -2))) (fma.f64 (neg.f64 (/.f64 (sqrt.f64 1/2) N)) (/.f64 (sqrt.f64 1/2) N) (*.f64 1/2 (pow.f64 N -2))))
(+.f64 (*.f64 -1/2 (pow.f64 N -2)) (/.f64 1 N))
(*.f64 1 (+.f64 (/.f64 1 N) (*.f64 -1/2 (pow.f64 N -2))))
(*.f64 (+.f64 (/.f64 1 N) (*.f64 -1/2 (pow.f64 N -2))) 1)
(*.f64 (/.f64 (cbrt.f64 (*.f64 N (-.f64 N 1/2))) N) (pow.f64 (/.f64 (cbrt.f64 (*.f64 N (-.f64 N 1/2))) N) 2))
(*.f64 (pow.f64 (/.f64 (cbrt.f64 (*.f64 N (-.f64 N 1/2))) N) 2) (/.f64 (cbrt.f64 (*.f64 N (-.f64 N 1/2))) N))
(*.f64 (sqrt.f64 (+.f64 (/.f64 1 N) (*.f64 -1/2 (pow.f64 N -2)))) (sqrt.f64 (+.f64 (/.f64 1 N) (*.f64 -1/2 (pow.f64 N -2)))))
(*.f64 (*.f64 N (-.f64 N 1/2)) (pow.f64 N -3))
(*.f64 (-.f64 (pow.f64 N -3) (/.f64 1/8 (pow.f64 N 6))) (/.f64 1 (+.f64 (+.f64 (/.f64 1/4 (pow.f64 N 4)) (/.f64 1/2 (pow.f64 N 3))) (pow.f64 N -2))))
(*.f64 (-.f64 (pow.f64 N -2) (/.f64 1/4 (pow.f64 N 4))) (/.f64 1 (+.f64 (/.f64 1 N) (*.f64 1/2 (pow.f64 N -2)))))
(*.f64 (+.f64 (pow.f64 N -1/2) (/.f64 (sqrt.f64 1/2) N)) (-.f64 (pow.f64 N -1/2) (/.f64 (sqrt.f64 1/2) N)))
(/.f64 1 (/.f64 (pow.f64 N 3) (*.f64 N (-.f64 N 1/2))))
(/.f64 1 (/.f64 (+.f64 (+.f64 (/.f64 1/4 (pow.f64 N 4)) (/.f64 1/2 (pow.f64 N 3))) (pow.f64 N -2)) (-.f64 (pow.f64 N -3) (/.f64 1/8 (pow.f64 N 6)))))
(/.f64 1 (/.f64 (+.f64 (/.f64 1 N) (*.f64 1/2 (pow.f64 N -2))) (-.f64 (pow.f64 N -2) (/.f64 1/4 (pow.f64 N 4)))))
(/.f64 (*.f64 N (-.f64 N 1/2)) (pow.f64 N 3))
(/.f64 (-.f64 (pow.f64 N -3) (/.f64 1/8 (pow.f64 N 6))) (+.f64 (+.f64 (/.f64 1/4 (pow.f64 N 4)) (/.f64 1/2 (pow.f64 N 3))) (pow.f64 N -2)))
(/.f64 (-.f64 (pow.f64 N -2) (/.f64 1/4 (pow.f64 N 4))) (+.f64 (/.f64 1 N) (*.f64 1/2 (pow.f64 N -2))))
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(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 (sqrt.f64 N)))) 2)) (cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 (sqrt.f64 N)))))
(pow.f64 (exp.f64 (sqrt.f64 (-.f64 (log1p.f64 N) (log.f64 (sqrt.f64 N))))) (sqrt.f64 (-.f64 (log1p.f64 N) (log.f64 (sqrt.f64 N)))))
(neg.f64 (/.f64 (+.f64 1 N) (neg.f64 (sqrt.f64 N))))
(neg.f64 (/.f64 (+.f64 -1 (neg.f64 N)) (sqrt.f64 N)))
(sqrt.f64 (/.f64 (pow.f64 (+.f64 1 N) 2) N))
(log.f64 (exp.f64 (/.f64 (+.f64 1 N) (sqrt.f64 N))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (+.f64 1 N) (sqrt.f64 N)))))
(cbrt.f64 (pow.f64 (/.f64 (+.f64 1 N) (sqrt.f64 N)) 3))
(cbrt.f64 (*.f64 (pow.f64 (+.f64 1 N) 3) (pow.f64 (pow.f64 N -1/2) 3)))
(cbrt.f64 (/.f64 (pow.f64 (+.f64 1 N) 3) (pow.f64 N 3/2)))
(expm1.f64 (log1p.f64 (/.f64 (+.f64 1 N) (sqrt.f64 N))))
(log1p.f64 (expm1.f64 (/.f64 (+.f64 1 N) (sqrt.f64 N))))
(exp.f64 (-.f64 (log1p.f64 N) (log.f64 (sqrt.f64 N))))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 N -1/2))) 1)
(*.f64 1 (pow.f64 N -1/2))
(*.f64 -1 (/.f64 1 (neg.f64 (sqrt.f64 N))))
(*.f64 (cbrt.f64 (pow.f64 N -1/2)) (/.f64 1 (cbrt.f64 N)))
(*.f64 (/.f64 1 (cbrt.f64 N)) (cbrt.f64 (pow.f64 N -1/2)))
(*.f64 (pow.f64 (sqrt.f64 N) -1/2) (pow.f64 (sqrt.f64 N) -1/2))
(*.f64 (pow.f64 N -1/2) 1)
(*.f64 (pow.f64 (cbrt.f64 N) -1) (pow.f64 (cbrt.f64 (sqrt.f64 N)) -1))
(*.f64 (pow.f64 (pow.f64 N 1/4) -1) (pow.f64 (pow.f64 N 1/4) -1))
(*.f64 (sqrt.f64 (cbrt.f64 (pow.f64 N -2))) (sqrt.f64 (/.f64 1 (cbrt.f64 N))))
(pow.f64 N -1/2)
(pow.f64 (/.f64 1 N) 1/2)
(pow.f64 (sqrt.f64 N) -1)
(pow.f64 (cbrt.f64 (pow.f64 N -1/2)) 3)
(pow.f64 (pow.f64 (pow.f64 N -1/2) 3) 1/3)
(pow.f64 (pow.f64 (sqrt.f64 N) -1/2) 2)
(pow.f64 (pow.f64 N -1/2) 1)
(pow.f64 (exp.f64 1) (log.f64 (pow.f64 N -1/2)))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (pow.f64 N -1/2))) 2)) (cbrt.f64 (log.f64 (pow.f64 N -1/2))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (pow.f64 N -1/2)))) (sqrt.f64 (log.f64 (pow.f64 N -1/2))))
(neg.f64 (/.f64 -1 (sqrt.f64 N)))
(sqrt.f64 (/.f64 1 N))
(fabs.f64 (pow.f64 N -1/2))
(log.f64 (exp.f64 (pow.f64 N -1/2)))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 N -1/2))))
(cbrt.f64 (pow.f64 (pow.f64 N -1/2) 3))
(expm1.f64 (log1p.f64 (pow.f64 N -1/2)))
(log1p.f64 (expm1.f64 (pow.f64 N -1/2)))
(exp.f64 (log.f64 (pow.f64 N -1/2)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 N)) -1))
(+.f64 (log1p.f64 N) (log.f64 (pow.f64 N -1/2)))
(+.f64 0 (-.f64 (log1p.f64 N) (log.f64 (sqrt.f64 N))))
(+.f64 (log.f64 (cbrt.f64 (/.f64 (pow.f64 (+.f64 1 N) 2) N))) (log.f64 (cbrt.f64 (/.f64 (+.f64 1 N) (sqrt.f64 N)))))
(+.f64 (log.f64 (sqrt.f64 (/.f64 (+.f64 1 N) (sqrt.f64 N)))) (log.f64 (sqrt.f64 (/.f64 (+.f64 1 N) (sqrt.f64 N)))))
(-.f64 (log1p.f64 N) (log.f64 (sqrt.f64 N)))
(-.f64 0 (log.f64 (/.f64 (sqrt.f64 N) (+.f64 1 N))))
(-.f64 (exp.f64 (log1p.f64 (-.f64 (log1p.f64 N) (log.f64 (sqrt.f64 N))))) 1)
(-.f64 (log.f64 (+.f64 -1 (neg.f64 N))) (log.f64 (neg.f64 (sqrt.f64 N))))
(*.f64 1 (-.f64 (log1p.f64 N) (log.f64 (sqrt.f64 N))))
(*.f64 (-.f64 (log1p.f64 N) (log.f64 (sqrt.f64 N))) 1)
(*.f64 (cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 (sqrt.f64 N)))) (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 (sqrt.f64 N)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 (sqrt.f64 N)))) 2) (cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 (sqrt.f64 N)))))
(*.f64 (sqrt.f64 (-.f64 (log1p.f64 N) (log.f64 (sqrt.f64 N)))) (sqrt.f64 (-.f64 (log1p.f64 N) (log.f64 (sqrt.f64 N)))))
(/.f64 (-.f64 (pow.f64 (log1p.f64 N) 3) (pow.f64 (log.f64 (sqrt.f64 N)) 3)) (+.f64 (*.f64 (log1p.f64 N) (log1p.f64 N)) (+.f64 (pow.f64 (log.f64 (pow.f64 N -1/2)) 2) (*.f64 (log1p.f64 N) (log.f64 (sqrt.f64 N))))))
(/.f64 (-.f64 (*.f64 (log1p.f64 N) (log1p.f64 N)) (pow.f64 (log.f64 (pow.f64 N -1/2)) 2)) (+.f64 (log1p.f64 N) (log.f64 (sqrt.f64 N))))
(pow.f64 (-.f64 (log1p.f64 N) (log.f64 (sqrt.f64 N))) 1)
(pow.f64 (cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 (sqrt.f64 N)))) 3)
(pow.f64 (pow.f64 (-.f64 (log1p.f64 N) (log.f64 (sqrt.f64 N))) 3) 1/3)
(pow.f64 (sqrt.f64 (-.f64 (log1p.f64 N) (log.f64 (sqrt.f64 N)))) 2)
(neg.f64 (log.f64 (/.f64 (sqrt.f64 N) (+.f64 1 N))))
(sqrt.f64 (pow.f64 (-.f64 (log1p.f64 N) (log.f64 (sqrt.f64 N))) 2))
(cbrt.f64 (pow.f64 (-.f64 (log1p.f64 N) (log.f64 (sqrt.f64 N))) 3))
(expm1.f64 (log1p.f64 (-.f64 (log1p.f64 N) (log.f64 (sqrt.f64 N)))))
(log1p.f64 (-.f64 (/.f64 (+.f64 1 N) (sqrt.f64 N)) 1))
(exp.f64 (log.f64 (-.f64 (log1p.f64 N) (log.f64 (sqrt.f64 N)))))
(exp.f64 (*.f64 (log.f64 (-.f64 (log1p.f64 N) (log.f64 (sqrt.f64 N)))) 1))

simplify249.0ms (3.3%)

Algorithm
egg-herbie
Rules
786×associate-*l*
766×associate-*r*
722×fma-define
716×times-frac
662×associate-/r*
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
082218714
1216817762
Stop Event
node limit
Counts
424 → 539
Calls
Call 1
Inputs
(*.f64 -1 (log.f64 N))
(+.f64 N (*.f64 -1 (log.f64 N)))
(+.f64 N (+.f64 (*.f64 -1 (log.f64 N)) (*.f64 -1/2 (pow.f64 N 2))))
(+.f64 N (+.f64 (*.f64 -1 (log.f64 N)) (+.f64 (*.f64 -1/2 (pow.f64 N 2)) (*.f64 1/3 (pow.f64 N 3)))))
(/.f64 1 N)
(-.f64 (/.f64 1 N) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 N 3))) (/.f64 1 N)) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 N 3))) (/.f64 1 N)) (+.f64 (*.f64 1/4 (/.f64 1 (pow.f64 N 4))) (*.f64 1/2 (/.f64 1 (pow.f64 N 2)))))
(/.f64 1 N)
(-.f64 (/.f64 1 N) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 N 3))) (/.f64 1 N)) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 N 3))) (/.f64 1 N)) (+.f64 (*.f64 1/4 (/.f64 1 (pow.f64 N 4))) (*.f64 1/2 (/.f64 1 (pow.f64 N 2)))))
(/.f64 -1/2 (pow.f64 N 2))
(-.f64 (/.f64 1 N) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (/.f64 1 N) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (/.f64 1 N) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(/.f64 1 N)
(-.f64 (/.f64 1 N) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (/.f64 1 N) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (/.f64 1 N) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(/.f64 1 N)
(-.f64 (/.f64 1 N) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (/.f64 1 N) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (/.f64 1 N) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(/.f64 1/3 (pow.f64 N 3))
(-.f64 (*.f64 1/3 (/.f64 1 (pow.f64 N 3))) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (*.f64 1/3 (/.f64 1 (pow.f64 N 3))) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (*.f64 1/3 (/.f64 1 (pow.f64 N 3))) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(/.f64 -1/2 (pow.f64 N 2))
(-.f64 (*.f64 1/3 (/.f64 1 (pow.f64 N 3))) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (*.f64 1/3 (/.f64 1 (pow.f64 N 3))) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (*.f64 1/3 (/.f64 1 (pow.f64 N 3))) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(/.f64 -1/2 (pow.f64 N 2))
(-.f64 (*.f64 1/3 (/.f64 1 (pow.f64 N 3))) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (*.f64 1/3 (/.f64 1 (pow.f64 N 3))) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (*.f64 1/3 (/.f64 1 (pow.f64 N 3))) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(/.f64 1/3 (pow.f64 N 3))
(-.f64 (*.f64 1/3 (/.f64 1 (pow.f64 N 3))) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (+.f64 (/.f64 1 N) (*.f64 1/3 (/.f64 1 (pow.f64 N 3)))) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (+.f64 (/.f64 1 N) (*.f64 1/3 (/.f64 1 (pow.f64 N 3)))) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(/.f64 1 N)
(-.f64 (/.f64 1 N) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 N 3))) (/.f64 1 N)) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 N 3))) (/.f64 1 N)) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(/.f64 1 N)
(-.f64 (/.f64 1 N) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 N 3))) (/.f64 1 N)) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 N 3))) (/.f64 1 N)) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (exp.f64 (log1p.f64 (log1p.f64 (/.f64 1 N)))) 1)
(*.f64 1 (log1p.f64 (/.f64 1 N)))
(*.f64 (log1p.f64 (/.f64 1 N)) 1)
(*.f64 (cbrt.f64 (log1p.f64 (/.f64 1 N))) (pow.f64 (cbrt.f64 (log1p.f64 (/.f64 1 N))) 2))
(*.f64 (pow.f64 (cbrt.f64 (log1p.f64 (/.f64 1 N))) 2) (cbrt.f64 (log1p.f64 (/.f64 1 N))))
(*.f64 (sqrt.f64 (log1p.f64 (/.f64 1 N))) (sqrt.f64 (log1p.f64 (/.f64 1 N))))
(pow.f64 (log1p.f64 (/.f64 1 N)) 1)
(pow.f64 (cbrt.f64 (log1p.f64 (/.f64 1 N))) 3)
(pow.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 3) 1/3)
(pow.f64 (sqrt.f64 (log1p.f64 (/.f64 1 N))) 2)
(sqrt.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 2))
(log.f64 (+.f64 1 (/.f64 1 N)))
(cbrt.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 3))
(expm1.f64 (log1p.f64 (log1p.f64 (/.f64 1 N))))
(exp.f64 (log.f64 (log1p.f64 (/.f64 1 N))))
(exp.f64 (*.f64 (log.f64 (log1p.f64 (/.f64 1 N))) 1))
(-.f64 (exp.f64 (log1p.f64 (*.f64 1/2 (pow.f64 N -2)))) 1)
(*.f64 1 (*.f64 1/2 (pow.f64 N -2)))
(*.f64 1/2 (pow.f64 N -2))
(*.f64 (*.f64 1/2 (pow.f64 N -2)) 1)
(*.f64 (cbrt.f64 (*.f64 1/2 (pow.f64 N -2))) (cbrt.f64 (/.f64 1/4 (pow.f64 N 4))))
(*.f64 (cbrt.f64 (/.f64 1/4 (pow.f64 N 4))) (cbrt.f64 (*.f64 1/2 (pow.f64 N -2))))
(*.f64 (/.f64 (sqrt.f64 1/2) N) (/.f64 (sqrt.f64 1/2) N))
(*.f64 -1/2 (/.f64 1 (neg.f64 (pow.f64 N 2))))
(*.f64 (pow.f64 N -2) 1/2)
(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 (sqrt.f64 1/2) N) 2)
(pow.f64 (/.f64 1/8 (pow.f64 N 6)) 1/3)
(pow.f64 (*.f64 (pow.f64 N 2) 2) -1)
(neg.f64 (*.f64 -1/2 (pow.f64 N -2)))
(sqrt.f64 (/.f64 1/4 (pow.f64 N 4)))
(log.f64 (pow.f64 (exp.f64 1/2) (pow.f64 N -2)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 1/2 (pow.f64 N -2)))))
(cbrt.f64 (/.f64 1/8 (pow.f64 N 6)))
(expm1.f64 (log1p.f64 (*.f64 1/2 (pow.f64 N -2))))
(log1p.f64 (expm1.f64 (*.f64 1/2 (pow.f64 N -2))))
(exp.f64 (log.f64 (*.f64 1/2 (pow.f64 N -2))))
(exp.f64 (*.f64 (log.f64 (*.f64 1/2 (pow.f64 N -2))) 1))
(+.f64 (/.f64 1 N) (*.f64 -1/2 (pow.f64 N -2)))
(+.f64 (/.f64 1 N) (*.f64 (*.f64 -1/2 (pow.f64 N -2)) 1))
(+.f64 (+.f64 (/.f64 1 N) (*.f64 -1/2 (pow.f64 N -2))) (fma.f64 (*.f64 -1/2 (pow.f64 N -2)) 1 (*.f64 1/2 (pow.f64 N -2))))
(+.f64 (+.f64 (/.f64 1 N) (*.f64 -1/2 (pow.f64 N -2))) (fma.f64 (neg.f64 (pow.f64 N -2)) 1/2 (*.f64 1/2 (pow.f64 N -2))))
(+.f64 (+.f64 (/.f64 1 N) (*.f64 -1/2 (pow.f64 N -2))) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 1/2 (pow.f64 N -2)))) (cbrt.f64 (/.f64 1/4 (pow.f64 N 4))) (*.f64 1/2 (pow.f64 N -2))))
(+.f64 (+.f64 (/.f64 1 N) (*.f64 -1/2 (pow.f64 N -2))) (fma.f64 (neg.f64 (/.f64 (sqrt.f64 1/2) N)) (/.f64 (sqrt.f64 1/2) N) (*.f64 1/2 (pow.f64 N -2))))
(+.f64 (*.f64 -1/2 (pow.f64 N -2)) (/.f64 1 N))
(*.f64 1 (+.f64 (/.f64 1 N) (*.f64 -1/2 (pow.f64 N -2))))
(*.f64 (+.f64 (/.f64 1 N) (*.f64 -1/2 (pow.f64 N -2))) 1)
(*.f64 (/.f64 (cbrt.f64 (*.f64 N (-.f64 N 1/2))) N) (pow.f64 (/.f64 (cbrt.f64 (*.f64 N (-.f64 N 1/2))) N) 2))
(*.f64 (pow.f64 (/.f64 (cbrt.f64 (*.f64 N (-.f64 N 1/2))) N) 2) (/.f64 (cbrt.f64 (*.f64 N (-.f64 N 1/2))) N))
(*.f64 (sqrt.f64 (+.f64 (/.f64 1 N) (*.f64 -1/2 (pow.f64 N -2)))) (sqrt.f64 (+.f64 (/.f64 1 N) (*.f64 -1/2 (pow.f64 N -2)))))
(*.f64 (*.f64 N (-.f64 N 1/2)) (pow.f64 N -3))
(*.f64 (-.f64 (pow.f64 N -3) (/.f64 1/8 (pow.f64 N 6))) (/.f64 1 (+.f64 (+.f64 (/.f64 1/4 (pow.f64 N 4)) (/.f64 1/2 (pow.f64 N 3))) (pow.f64 N -2))))
(*.f64 (-.f64 (pow.f64 N -2) (/.f64 1/4 (pow.f64 N 4))) (/.f64 1 (+.f64 (/.f64 1 N) (*.f64 1/2 (pow.f64 N -2)))))
(*.f64 (+.f64 (pow.f64 N -1/2) (/.f64 (sqrt.f64 1/2) N)) (-.f64 (pow.f64 N -1/2) (/.f64 (sqrt.f64 1/2) N)))
(/.f64 1 (/.f64 (pow.f64 N 3) (*.f64 N (-.f64 N 1/2))))
(/.f64 1 (/.f64 (+.f64 (+.f64 (/.f64 1/4 (pow.f64 N 4)) (/.f64 1/2 (pow.f64 N 3))) (pow.f64 N -2)) (-.f64 (pow.f64 N -3) (/.f64 1/8 (pow.f64 N 6)))))
(/.f64 1 (/.f64 (+.f64 (/.f64 1 N) (*.f64 1/2 (pow.f64 N -2))) (-.f64 (pow.f64 N -2) (/.f64 1/4 (pow.f64 N 4)))))
(/.f64 (*.f64 N (-.f64 N 1/2)) (pow.f64 N 3))
(/.f64 (-.f64 (pow.f64 N -3) (/.f64 1/8 (pow.f64 N 6))) (+.f64 (+.f64 (/.f64 1/4 (pow.f64 N 4)) (/.f64 1/2 (pow.f64 N 3))) (pow.f64 N -2)))
(/.f64 (-.f64 (pow.f64 N -2) (/.f64 1/4 (pow.f64 N 4))) (+.f64 (/.f64 1 N) (*.f64 1/2 (pow.f64 N -2))))
(/.f64 (-.f64 (*.f64 (pow.f64 N 2) 2) N) (*.f64 N (*.f64 (pow.f64 N 2) 2)))
(/.f64 (-.f64 (neg.f64 (pow.f64 N 2)) (*.f64 N -1/2)) (neg.f64 (pow.f64 N 3)))
(/.f64 (-.f64 (*.f64 -1 (*.f64 (pow.f64 N 2) 2)) (*.f64 (neg.f64 N) 1)) (*.f64 (neg.f64 N) (*.f64 (pow.f64 N 2) 2)))
(/.f64 (-.f64 (neg.f64 (pow.f64 N 2)) (*.f64 (neg.f64 N) 1/2)) (neg.f64 (pow.f64 N 3)))
(/.f64 (-.f64 (*.f64 -1 (neg.f64 (pow.f64 N 2))) (*.f64 (neg.f64 N) -1/2)) (*.f64 (neg.f64 N) (neg.f64 (pow.f64 N 2))))
(/.f64 (neg.f64 (*.f64 N (-.f64 N 1/2))) (neg.f64 (pow.f64 N 3)))
(/.f64 (neg.f64 (-.f64 (pow.f64 N -3) (/.f64 1/8 (pow.f64 N 6)))) (neg.f64 (+.f64 (+.f64 (/.f64 1/4 (pow.f64 N 4)) (/.f64 1/2 (pow.f64 N 3))) (pow.f64 N -2))))
(/.f64 (neg.f64 (-.f64 (pow.f64 N -2) (/.f64 1/4 (pow.f64 N 4)))) (neg.f64 (+.f64 (/.f64 1 N) (*.f64 1/2 (pow.f64 N -2)))))
(/.f64 (+.f64 (pow.f64 N -3) (pow.f64 (*.f64 -1/2 (pow.f64 N -2)) 3)) (+.f64 (pow.f64 N -2) (-.f64 (*.f64 (*.f64 -1/2 (pow.f64 N -2)) (*.f64 -1/2 (pow.f64 N -2))) (*.f64 (/.f64 1 N) (*.f64 -1/2 (pow.f64 N -2))))))
(/.f64 (-.f64 (pow.f64 N -2) (*.f64 (*.f64 -1/2 (pow.f64 N -2)) (*.f64 -1/2 (pow.f64 N -2)))) (-.f64 (/.f64 1 N) (*.f64 -1/2 (pow.f64 N -2))))
(/.f64 (/.f64 (*.f64 N (-.f64 N 1/2)) 1) (pow.f64 N 3))
(/.f64 (/.f64 (*.f64 N (-.f64 N 1/2)) N) (pow.f64 N 2))
(/.f64 (/.f64 (*.f64 N (-.f64 N 1/2)) (pow.f64 N 2)) N)
(/.f64 (/.f64 (*.f64 N (-.f64 N 1/2)) (pow.f64 N 3/2)) (pow.f64 N 3/2))
(pow.f64 (+.f64 (/.f64 1 N) (*.f64 -1/2 (pow.f64 N -2))) 1)
(pow.f64 (/.f64 (cbrt.f64 (*.f64 N (-.f64 N 1/2))) N) 3)
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(pow.f64 (pow.f64 N -1/2) 1)
(pow.f64 (exp.f64 1) (log.f64 (pow.f64 N -1/2)))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (pow.f64 N -1/2))) 2)) (cbrt.f64 (log.f64 (pow.f64 N -1/2))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (pow.f64 N -1/2)))) (sqrt.f64 (log.f64 (pow.f64 N -1/2))))
(neg.f64 (/.f64 -1 (sqrt.f64 N)))
(sqrt.f64 (/.f64 1 N))
(fabs.f64 (pow.f64 N -1/2))
(log.f64 (exp.f64 (pow.f64 N -1/2)))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 N -1/2))))
(cbrt.f64 (pow.f64 (pow.f64 N -1/2) 3))
(expm1.f64 (log1p.f64 (pow.f64 N -1/2)))
(log1p.f64 (expm1.f64 (pow.f64 N -1/2)))
(exp.f64 (log.f64 (pow.f64 N -1/2)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 N)) -1))
(+.f64 (log1p.f64 N) (log.f64 (pow.f64 N -1/2)))
(+.f64 0 (-.f64 (log1p.f64 N) (log.f64 (sqrt.f64 N))))
(+.f64 (log.f64 (cbrt.f64 (/.f64 (pow.f64 (+.f64 1 N) 2) N))) (log.f64 (cbrt.f64 (/.f64 (+.f64 1 N) (sqrt.f64 N)))))
(+.f64 (log.f64 (sqrt.f64 (/.f64 (+.f64 1 N) (sqrt.f64 N)))) (log.f64 (sqrt.f64 (/.f64 (+.f64 1 N) (sqrt.f64 N)))))
(-.f64 (log1p.f64 N) (log.f64 (sqrt.f64 N)))
(-.f64 0 (log.f64 (/.f64 (sqrt.f64 N) (+.f64 1 N))))
(-.f64 (exp.f64 (log1p.f64 (-.f64 (log1p.f64 N) (log.f64 (sqrt.f64 N))))) 1)
(-.f64 (log.f64 (+.f64 -1 (neg.f64 N))) (log.f64 (neg.f64 (sqrt.f64 N))))
(*.f64 1 (-.f64 (log1p.f64 N) (log.f64 (sqrt.f64 N))))
(*.f64 (-.f64 (log1p.f64 N) (log.f64 (sqrt.f64 N))) 1)
(*.f64 (cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 (sqrt.f64 N)))) (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 (sqrt.f64 N)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 (sqrt.f64 N)))) 2) (cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 (sqrt.f64 N)))))
(*.f64 (sqrt.f64 (-.f64 (log1p.f64 N) (log.f64 (sqrt.f64 N)))) (sqrt.f64 (-.f64 (log1p.f64 N) (log.f64 (sqrt.f64 N)))))
(/.f64 (-.f64 (pow.f64 (log1p.f64 N) 3) (pow.f64 (log.f64 (sqrt.f64 N)) 3)) (+.f64 (*.f64 (log1p.f64 N) (log1p.f64 N)) (+.f64 (pow.f64 (log.f64 (pow.f64 N -1/2)) 2) (*.f64 (log1p.f64 N) (log.f64 (sqrt.f64 N))))))
(/.f64 (-.f64 (*.f64 (log1p.f64 N) (log1p.f64 N)) (pow.f64 (log.f64 (pow.f64 N -1/2)) 2)) (+.f64 (log1p.f64 N) (log.f64 (sqrt.f64 N))))
(pow.f64 (-.f64 (log1p.f64 N) (log.f64 (sqrt.f64 N))) 1)
(pow.f64 (cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 (sqrt.f64 N)))) 3)
(pow.f64 (pow.f64 (-.f64 (log1p.f64 N) (log.f64 (sqrt.f64 N))) 3) 1/3)
(pow.f64 (sqrt.f64 (-.f64 (log1p.f64 N) (log.f64 (sqrt.f64 N)))) 2)
(neg.f64 (log.f64 (/.f64 (sqrt.f64 N) (+.f64 1 N))))
(sqrt.f64 (pow.f64 (-.f64 (log1p.f64 N) (log.f64 (sqrt.f64 N))) 2))
(cbrt.f64 (pow.f64 (-.f64 (log1p.f64 N) (log.f64 (sqrt.f64 N))) 3))
(expm1.f64 (log1p.f64 (-.f64 (log1p.f64 N) (log.f64 (sqrt.f64 N)))))
(log1p.f64 (-.f64 (/.f64 (+.f64 1 N) (sqrt.f64 N)) 1))
(exp.f64 (log.f64 (-.f64 (log1p.f64 N) (log.f64 (sqrt.f64 N)))))
(exp.f64 (*.f64 (log.f64 (-.f64 (log1p.f64 N) (log.f64 (sqrt.f64 N)))) 1))
Outputs
(*.f64 -1 (log.f64 N))
(neg.f64 (log.f64 N))
(+.f64 N (*.f64 -1 (log.f64 N)))
(+.f64 N (neg.f64 (log.f64 N)))
(-.f64 N (log.f64 N))
(+.f64 N (+.f64 (*.f64 -1 (log.f64 N)) (*.f64 -1/2 (pow.f64 N 2))))
(+.f64 N (fma.f64 -1 (log.f64 N) (*.f64 -1/2 (pow.f64 N 2))))
(+.f64 (-.f64 N (log.f64 N)) (*.f64 -1/2 (pow.f64 N 2)))
(+.f64 N (+.f64 (*.f64 -1 (log.f64 N)) (+.f64 (*.f64 -1/2 (pow.f64 N 2)) (*.f64 1/3 (pow.f64 N 3)))))
(+.f64 N (fma.f64 -1 (log.f64 N) (fma.f64 -1/2 (pow.f64 N 2) (*.f64 1/3 (pow.f64 N 3)))))
(+.f64 (-.f64 N (log.f64 N)) (fma.f64 -1/2 (pow.f64 N 2) (*.f64 1/3 (pow.f64 N 3))))
(/.f64 1 N)
(-.f64 (/.f64 1 N) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (/.f64 1 N) (/.f64 1/2 (pow.f64 N 2)))
(+.f64 (/.f64 1 N) (/.f64 -1/2 (pow.f64 N 2)))
(-.f64 (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 N 3))) (/.f64 1 N)) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (-.f64 (/.f64 1 N) (/.f64 1/2 (pow.f64 N 2))))
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (+.f64 (/.f64 1 N) (/.f64 -1/2 (pow.f64 N 2))))
(-.f64 (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 N 3))) (/.f64 1 N)) (+.f64 (*.f64 1/4 (/.f64 1 (pow.f64 N 4))) (*.f64 1/2 (/.f64 1 (pow.f64 N 2)))))
(-.f64 (+.f64 (/.f64 1 N) (/.f64 1/3 (pow.f64 N 3))) (+.f64 (/.f64 1/2 (pow.f64 N 2)) (/.f64 1/4 (pow.f64 N 4))))
(+.f64 (/.f64 1 N) (+.f64 (/.f64 1/3 (pow.f64 N 3)) (+.f64 (/.f64 -1/2 (pow.f64 N 2)) (/.f64 -1/4 (pow.f64 N 4)))))
(/.f64 1 N)
(-.f64 (/.f64 1 N) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (/.f64 1 N) (/.f64 1/2 (pow.f64 N 2)))
(+.f64 (/.f64 1 N) (/.f64 -1/2 (pow.f64 N 2)))
(-.f64 (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 N 3))) (/.f64 1 N)) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (-.f64 (/.f64 1 N) (/.f64 1/2 (pow.f64 N 2))))
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (+.f64 (/.f64 1 N) (/.f64 -1/2 (pow.f64 N 2))))
(-.f64 (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 N 3))) (/.f64 1 N)) (+.f64 (*.f64 1/4 (/.f64 1 (pow.f64 N 4))) (*.f64 1/2 (/.f64 1 (pow.f64 N 2)))))
(-.f64 (+.f64 (/.f64 1 N) (/.f64 1/3 (pow.f64 N 3))) (+.f64 (/.f64 1/2 (pow.f64 N 2)) (/.f64 1/4 (pow.f64 N 4))))
(+.f64 (/.f64 1 N) (+.f64 (/.f64 1/3 (pow.f64 N 3)) (+.f64 (/.f64 -1/2 (pow.f64 N 2)) (/.f64 -1/4 (pow.f64 N 4)))))
(/.f64 -1/2 (pow.f64 N 2))
(-.f64 (/.f64 1 N) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (/.f64 1 N) (/.f64 1/2 (pow.f64 N 2)))
(+.f64 (/.f64 1 N) (/.f64 -1/2 (pow.f64 N 2)))
(-.f64 (/.f64 1 N) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (/.f64 1 N) (/.f64 1/2 (pow.f64 N 2)))
(+.f64 (/.f64 1 N) (/.f64 -1/2 (pow.f64 N 2)))
(-.f64 (/.f64 1 N) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (/.f64 1 N) (/.f64 1/2 (pow.f64 N 2)))
(+.f64 (/.f64 1 N) (/.f64 -1/2 (pow.f64 N 2)))
(/.f64 1 N)
(-.f64 (/.f64 1 N) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (/.f64 1 N) (/.f64 1/2 (pow.f64 N 2)))
(+.f64 (/.f64 1 N) (/.f64 -1/2 (pow.f64 N 2)))
(-.f64 (/.f64 1 N) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (/.f64 1 N) (/.f64 1/2 (pow.f64 N 2)))
(+.f64 (/.f64 1 N) (/.f64 -1/2 (pow.f64 N 2)))
(-.f64 (/.f64 1 N) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (/.f64 1 N) (/.f64 1/2 (pow.f64 N 2)))
(+.f64 (/.f64 1 N) (/.f64 -1/2 (pow.f64 N 2)))
(/.f64 1 N)
(-.f64 (/.f64 1 N) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (/.f64 1 N) (/.f64 1/2 (pow.f64 N 2)))
(+.f64 (/.f64 1 N) (/.f64 -1/2 (pow.f64 N 2)))
(-.f64 (/.f64 1 N) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (/.f64 1 N) (/.f64 1/2 (pow.f64 N 2)))
(+.f64 (/.f64 1 N) (/.f64 -1/2 (pow.f64 N 2)))
(-.f64 (/.f64 1 N) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (/.f64 1 N) (/.f64 1/2 (pow.f64 N 2)))
(+.f64 (/.f64 1 N) (/.f64 -1/2 (pow.f64 N 2)))
(/.f64 1/3 (pow.f64 N 3))
(-.f64 (*.f64 1/3 (/.f64 1 (pow.f64 N 3))) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 1/2 (pow.f64 N 2)))
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 -1/2 (pow.f64 N 2)))
(-.f64 (*.f64 1/3 (/.f64 1 (pow.f64 N 3))) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 1/2 (pow.f64 N 2)))
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 -1/2 (pow.f64 N 2)))
(-.f64 (*.f64 1/3 (/.f64 1 (pow.f64 N 3))) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 1/2 (pow.f64 N 2)))
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 -1/2 (pow.f64 N 2)))
(/.f64 -1/2 (pow.f64 N 2))
(-.f64 (*.f64 1/3 (/.f64 1 (pow.f64 N 3))) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 1/2 (pow.f64 N 2)))
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 -1/2 (pow.f64 N 2)))
(-.f64 (*.f64 1/3 (/.f64 1 (pow.f64 N 3))) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 1/2 (pow.f64 N 2)))
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 -1/2 (pow.f64 N 2)))
(-.f64 (*.f64 1/3 (/.f64 1 (pow.f64 N 3))) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 1/2 (pow.f64 N 2)))
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 -1/2 (pow.f64 N 2)))
(/.f64 -1/2 (pow.f64 N 2))
(-.f64 (*.f64 1/3 (/.f64 1 (pow.f64 N 3))) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 1/2 (pow.f64 N 2)))
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 -1/2 (pow.f64 N 2)))
(-.f64 (*.f64 1/3 (/.f64 1 (pow.f64 N 3))) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 1/2 (pow.f64 N 2)))
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 -1/2 (pow.f64 N 2)))
(-.f64 (*.f64 1/3 (/.f64 1 (pow.f64 N 3))) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 1/2 (pow.f64 N 2)))
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 -1/2 (pow.f64 N 2)))
(/.f64 1/3 (pow.f64 N 3))
(-.f64 (*.f64 1/3 (/.f64 1 (pow.f64 N 3))) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 1/2 (pow.f64 N 2)))
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 -1/2 (pow.f64 N 2)))
(-.f64 (+.f64 (/.f64 1 N) (*.f64 1/3 (/.f64 1 (pow.f64 N 3)))) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (-.f64 (/.f64 1 N) (/.f64 1/2 (pow.f64 N 2))))
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (+.f64 (/.f64 1 N) (/.f64 -1/2 (pow.f64 N 2))))
(-.f64 (+.f64 (/.f64 1 N) (*.f64 1/3 (/.f64 1 (pow.f64 N 3)))) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (-.f64 (/.f64 1 N) (/.f64 1/2 (pow.f64 N 2))))
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (+.f64 (/.f64 1 N) (/.f64 -1/2 (pow.f64 N 2))))
(/.f64 1 N)
(-.f64 (/.f64 1 N) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (/.f64 1 N) (/.f64 1/2 (pow.f64 N 2)))
(+.f64 (/.f64 1 N) (/.f64 -1/2 (pow.f64 N 2)))
(-.f64 (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 N 3))) (/.f64 1 N)) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (-.f64 (/.f64 1 N) (/.f64 1/2 (pow.f64 N 2))))
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (+.f64 (/.f64 1 N) (/.f64 -1/2 (pow.f64 N 2))))
(-.f64 (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 N 3))) (/.f64 1 N)) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (-.f64 (/.f64 1 N) (/.f64 1/2 (pow.f64 N 2))))
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (+.f64 (/.f64 1 N) (/.f64 -1/2 (pow.f64 N 2))))
(/.f64 1 N)
(-.f64 (/.f64 1 N) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (/.f64 1 N) (/.f64 1/2 (pow.f64 N 2)))
(+.f64 (/.f64 1 N) (/.f64 -1/2 (pow.f64 N 2)))
(-.f64 (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 N 3))) (/.f64 1 N)) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (-.f64 (/.f64 1 N) (/.f64 1/2 (pow.f64 N 2))))
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (+.f64 (/.f64 1 N) (/.f64 -1/2 (pow.f64 N 2))))
(-.f64 (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 N 3))) (/.f64 1 N)) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (-.f64 (/.f64 1 N) (/.f64 1/2 (pow.f64 N 2))))
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (+.f64 (/.f64 1 N) (/.f64 -1/2 (pow.f64 N 2))))
(-.f64 (exp.f64 (log1p.f64 (log1p.f64 (/.f64 1 N)))) 1)
(expm1.f64 (log1p.f64 (log1p.f64 (/.f64 1 N))))
(*.f64 1 (log1p.f64 (/.f64 1 N)))
(log1p.f64 (/.f64 1 N))
(*.f64 (log1p.f64 (/.f64 1 N)) 1)
(log1p.f64 (/.f64 1 N))
(*.f64 (cbrt.f64 (log1p.f64 (/.f64 1 N))) (pow.f64 (cbrt.f64 (log1p.f64 (/.f64 1 N))) 2))
(log1p.f64 (/.f64 1 N))
(*.f64 (pow.f64 (cbrt.f64 (log1p.f64 (/.f64 1 N))) 2) (cbrt.f64 (log1p.f64 (/.f64 1 N))))
(log1p.f64 (/.f64 1 N))
(*.f64 (sqrt.f64 (log1p.f64 (/.f64 1 N))) (sqrt.f64 (log1p.f64 (/.f64 1 N))))
(log1p.f64 (/.f64 1 N))
(pow.f64 (log1p.f64 (/.f64 1 N)) 1)
(log1p.f64 (/.f64 1 N))
(pow.f64 (cbrt.f64 (log1p.f64 (/.f64 1 N))) 3)
(log1p.f64 (/.f64 1 N))
(pow.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 3) 1/3)
(log1p.f64 (/.f64 1 N))
(pow.f64 (sqrt.f64 (log1p.f64 (/.f64 1 N))) 2)
(log1p.f64 (/.f64 1 N))
(sqrt.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 2))
(fabs.f64 (log1p.f64 (/.f64 1 N)))
(log.f64 (+.f64 1 (/.f64 1 N)))
(log1p.f64 (/.f64 1 N))
(cbrt.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 3))
(log1p.f64 (/.f64 1 N))
(expm1.f64 (log1p.f64 (log1p.f64 (/.f64 1 N))))
(exp.f64 (log.f64 (log1p.f64 (/.f64 1 N))))
(log1p.f64 (/.f64 1 N))
(exp.f64 (*.f64 (log.f64 (log1p.f64 (/.f64 1 N))) 1))
(log1p.f64 (/.f64 1 N))
(-.f64 (exp.f64 (log1p.f64 (*.f64 1/2 (pow.f64 N -2)))) 1)
(expm1.f64 (log1p.f64 (*.f64 1/2 (pow.f64 N -2))))
(*.f64 1 (*.f64 1/2 (pow.f64 N -2)))
(*.f64 1/2 (pow.f64 N -2))
(*.f64 1/2 (pow.f64 N -2))
(*.f64 (*.f64 1/2 (pow.f64 N -2)) 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 (cbrt.f64 (*.f64 1/2 (pow.f64 N -2))) (cbrt.f64 (/.f64 1/4 (pow.f64 N 4))))
(*.f64 (/.f64 (sqrt.f64 1/2) N) (/.f64 (sqrt.f64 1/2) N))
(pow.f64 (/.f64 (sqrt.f64 1/2) N) 2)
(*.f64 -1/2 (/.f64 1 (neg.f64 (pow.f64 N 2))))
(/.f64 -1/2 (neg.f64 (pow.f64 N 2)))
(/.f64 1/2 (pow.f64 N 2))
(*.f64 (pow.f64 N -2) 1/2)
(*.f64 1/2 (pow.f64 N -2))
(pow.f64 (*.f64 1/2 (pow.f64 N -2)) 1)
(*.f64 1/2 (pow.f64 N -2))
(pow.f64 (cbrt.f64 (*.f64 1/2 (pow.f64 N -2))) 3)
(*.f64 1/2 (pow.f64 N -2))
(pow.f64 (/.f64 (sqrt.f64 1/2) N) 2)
(pow.f64 (/.f64 1/8 (pow.f64 N 6)) 1/3)
(cbrt.f64 (/.f64 1/8 (pow.f64 N 6)))
(pow.f64 (*.f64 (pow.f64 N 2) 2) -1)
(/.f64 -1/2 (neg.f64 (pow.f64 N 2)))
(/.f64 1/2 (pow.f64 N 2))
(neg.f64 (*.f64 -1/2 (pow.f64 N -2)))
(*.f64 1/2 (pow.f64 N -2))
(sqrt.f64 (/.f64 1/4 (pow.f64 N 4)))
(log.f64 (pow.f64 (exp.f64 1/2) (pow.f64 N -2)))
(*.f64 1/2 (pow.f64 N -2))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 1/2 (pow.f64 N -2)))))
(*.f64 1/2 (pow.f64 N -2))
(cbrt.f64 (/.f64 1/8 (pow.f64 N 6)))
(expm1.f64 (log1p.f64 (*.f64 1/2 (pow.f64 N -2))))
(log1p.f64 (expm1.f64 (*.f64 1/2 (pow.f64 N -2))))
(*.f64 1/2 (pow.f64 N -2))
(exp.f64 (log.f64 (*.f64 1/2 (pow.f64 N -2))))
(*.f64 1/2 (pow.f64 N -2))
(exp.f64 (*.f64 (log.f64 (*.f64 1/2 (pow.f64 N -2))) 1))
(*.f64 1/2 (pow.f64 N -2))
(+.f64 (/.f64 1 N) (*.f64 -1/2 (pow.f64 N -2)))
(fma.f64 -1/2 (pow.f64 N -2) (/.f64 1 N))
(+.f64 (/.f64 1 N) (*.f64 (*.f64 -1/2 (pow.f64 N -2)) 1))
(fma.f64 -1/2 (pow.f64 N -2) (/.f64 1 N))
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(sqrt.f64 (/.f64 (pow.f64 (+.f64 N 1) 2) N))
(log.f64 (exp.f64 (/.f64 (+.f64 1 N) (sqrt.f64 N))))
(/.f64 (+.f64 N 1) (sqrt.f64 N))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (+.f64 1 N) (sqrt.f64 N)))))
(/.f64 (+.f64 N 1) (sqrt.f64 N))
(cbrt.f64 (pow.f64 (/.f64 (+.f64 1 N) (sqrt.f64 N)) 3))
(/.f64 (+.f64 N 1) (sqrt.f64 N))
(cbrt.f64 (*.f64 (pow.f64 (+.f64 1 N) 3) (pow.f64 (pow.f64 N -1/2) 3)))
(cbrt.f64 (*.f64 (pow.f64 (+.f64 N 1) 3) (pow.f64 (pow.f64 N -1/2) 3)))
(cbrt.f64 (/.f64 (pow.f64 (+.f64 1 N) 3) (pow.f64 N 3/2)))
(cbrt.f64 (/.f64 (pow.f64 (+.f64 N 1) 3) (pow.f64 N 3/2)))
(expm1.f64 (log1p.f64 (/.f64 (+.f64 1 N) (sqrt.f64 N))))
(expm1.f64 (log1p.f64 (/.f64 (+.f64 N 1) (sqrt.f64 N))))
(log1p.f64 (expm1.f64 (/.f64 (+.f64 1 N) (sqrt.f64 N))))
(/.f64 (+.f64 N 1) (sqrt.f64 N))
(exp.f64 (-.f64 (log1p.f64 N) (log.f64 (sqrt.f64 N))))
(/.f64 (+.f64 N 1) (sqrt.f64 N))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 N -1/2))) 1)
(expm1.f64 (log1p.f64 (pow.f64 N -1/2)))
(*.f64 1 (pow.f64 N -1/2))
(pow.f64 N -1/2)
(*.f64 -1 (/.f64 1 (neg.f64 (sqrt.f64 N))))
(/.f64 1 (sqrt.f64 N))
(*.f64 (cbrt.f64 (pow.f64 N -1/2)) (/.f64 1 (cbrt.f64 N)))
(*.f64 (/.f64 1 (cbrt.f64 N)) (cbrt.f64 (pow.f64 N -1/2)))
(/.f64 (cbrt.f64 (pow.f64 N -1/2)) (cbrt.f64 N))
(*.f64 (/.f64 1 (cbrt.f64 N)) (cbrt.f64 (pow.f64 N -1/2)))
(/.f64 (cbrt.f64 (pow.f64 N -1/2)) (cbrt.f64 N))
(*.f64 (pow.f64 (sqrt.f64 N) -1/2) (pow.f64 (sqrt.f64 N) -1/2))
(/.f64 1 (sqrt.f64 N))
(*.f64 (pow.f64 N -1/2) 1)
(pow.f64 N -1/2)
(*.f64 (pow.f64 (cbrt.f64 N) -1) (pow.f64 (cbrt.f64 (sqrt.f64 N)) -1))
(*.f64 (/.f64 1 (cbrt.f64 N)) (/.f64 1 (cbrt.f64 (sqrt.f64 N))))
(*.f64 (pow.f64 (pow.f64 N 1/4) -1) (pow.f64 (pow.f64 N 1/4) -1))
(pow.f64 (pow.f64 N 1/4) -2)
(*.f64 (sqrt.f64 (cbrt.f64 (pow.f64 N -2))) (sqrt.f64 (/.f64 1 (cbrt.f64 N))))
(pow.f64 N -1/2)
(pow.f64 (/.f64 1 N) 1/2)
(sqrt.f64 (/.f64 1 N))
(pow.f64 (sqrt.f64 N) -1)
(/.f64 1 (sqrt.f64 N))
(pow.f64 (cbrt.f64 (pow.f64 N -1/2)) 3)
(pow.f64 N -1/2)
(pow.f64 (pow.f64 (pow.f64 N -1/2) 3) 1/3)
(pow.f64 N -1/2)
(pow.f64 (pow.f64 (sqrt.f64 N) -1/2) 2)
(/.f64 1 (sqrt.f64 N))
(pow.f64 (pow.f64 N -1/2) 1)
(pow.f64 N -1/2)
(pow.f64 (exp.f64 1) (log.f64 (pow.f64 N -1/2)))
(pow.f64 (E.f64) (*.f64 -1/2 (log.f64 N)))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (pow.f64 N -1/2))) 2)) (cbrt.f64 (log.f64 (pow.f64 N -1/2))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (*.f64 -1/2 (log.f64 N))) 2)) (cbrt.f64 (*.f64 -1/2 (log.f64 N))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (pow.f64 N -1/2)))) (sqrt.f64 (log.f64 (pow.f64 N -1/2))))
(pow.f64 (exp.f64 (sqrt.f64 (*.f64 -1/2 (log.f64 N)))) (sqrt.f64 (*.f64 -1/2 (log.f64 N))))
(neg.f64 (/.f64 -1 (sqrt.f64 N)))
(/.f64 1 (sqrt.f64 N))
(sqrt.f64 (/.f64 1 N))
(fabs.f64 (pow.f64 N -1/2))
(pow.f64 N -1/2)
(log.f64 (exp.f64 (pow.f64 N -1/2)))
(pow.f64 N -1/2)
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 N -1/2))))
(pow.f64 N -1/2)
(cbrt.f64 (pow.f64 (pow.f64 N -1/2) 3))
(pow.f64 N -1/2)
(expm1.f64 (log1p.f64 (pow.f64 N -1/2)))
(log1p.f64 (expm1.f64 (pow.f64 N -1/2)))
(pow.f64 N -1/2)
(exp.f64 (log.f64 (pow.f64 N -1/2)))
(pow.f64 N -1/2)
(exp.f64 (*.f64 (log.f64 (sqrt.f64 N)) -1))
(/.f64 1 (sqrt.f64 N))
(+.f64 (log1p.f64 N) (log.f64 (pow.f64 N -1/2)))
(+.f64 (log1p.f64 N) (*.f64 -1/2 (log.f64 N)))
(fma.f64 -1/2 (log.f64 N) (log1p.f64 N))
(+.f64 0 (-.f64 (log1p.f64 N) (log.f64 (sqrt.f64 N))))
(-.f64 (log1p.f64 N) (log.f64 (sqrt.f64 N)))
(+.f64 (log.f64 (cbrt.f64 (/.f64 (pow.f64 (+.f64 1 N) 2) N))) (log.f64 (cbrt.f64 (/.f64 (+.f64 1 N) (sqrt.f64 N)))))
(+.f64 (log.f64 (cbrt.f64 (/.f64 (pow.f64 (+.f64 N 1) 2) N))) (log.f64 (cbrt.f64 (/.f64 (+.f64 N 1) (sqrt.f64 N)))))
(+.f64 (log.f64 (sqrt.f64 (/.f64 (+.f64 1 N) (sqrt.f64 N)))) (log.f64 (sqrt.f64 (/.f64 (+.f64 1 N) (sqrt.f64 N)))))
(-.f64 (log1p.f64 N) (log.f64 (sqrt.f64 N)))
(-.f64 (log1p.f64 N) (log.f64 (sqrt.f64 N)))
(-.f64 0 (log.f64 (/.f64 (sqrt.f64 N) (+.f64 1 N))))
(neg.f64 (-.f64 (log.f64 (sqrt.f64 N)) (log1p.f64 N)))
(+.f64 (neg.f64 (log.f64 (sqrt.f64 N))) (log1p.f64 N))
(-.f64 (exp.f64 (log1p.f64 (-.f64 (log1p.f64 N) (log.f64 (sqrt.f64 N))))) 1)
(expm1.f64 (log1p.f64 (-.f64 (log1p.f64 N) (log.f64 (sqrt.f64 N)))))
(-.f64 (log.f64 (+.f64 -1 (neg.f64 N))) (log.f64 (neg.f64 (sqrt.f64 N))))
(-.f64 (log.f64 (-.f64 -1 N)) (log.f64 (neg.f64 (sqrt.f64 N))))
(*.f64 1 (-.f64 (log1p.f64 N) (log.f64 (sqrt.f64 N))))
(-.f64 (log1p.f64 N) (log.f64 (sqrt.f64 N)))
(*.f64 (-.f64 (log1p.f64 N) (log.f64 (sqrt.f64 N))) 1)
(-.f64 (log1p.f64 N) (log.f64 (sqrt.f64 N)))
(*.f64 (cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 (sqrt.f64 N)))) (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 (sqrt.f64 N)))) 2))
(-.f64 (log1p.f64 N) (log.f64 (sqrt.f64 N)))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 (sqrt.f64 N)))) 2) (cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 (sqrt.f64 N)))))
(-.f64 (log1p.f64 N) (log.f64 (sqrt.f64 N)))
(*.f64 (sqrt.f64 (-.f64 (log1p.f64 N) (log.f64 (sqrt.f64 N)))) (sqrt.f64 (-.f64 (log1p.f64 N) (log.f64 (sqrt.f64 N)))))
(-.f64 (log1p.f64 N) (log.f64 (sqrt.f64 N)))
(/.f64 (-.f64 (pow.f64 (log1p.f64 N) 3) (pow.f64 (log.f64 (sqrt.f64 N)) 3)) (+.f64 (*.f64 (log1p.f64 N) (log1p.f64 N)) (+.f64 (pow.f64 (log.f64 (pow.f64 N -1/2)) 2) (*.f64 (log1p.f64 N) (log.f64 (sqrt.f64 N))))))
(/.f64 (-.f64 (pow.f64 (log1p.f64 N) 3) (pow.f64 (log.f64 (sqrt.f64 N)) 3)) (fma.f64 (log1p.f64 N) (log1p.f64 N) (+.f64 (pow.f64 (*.f64 -1/2 (log.f64 N)) 2) (*.f64 (log1p.f64 N) (log.f64 (sqrt.f64 N))))))
(/.f64 (-.f64 (pow.f64 (log1p.f64 N) 3) (pow.f64 (log.f64 (sqrt.f64 N)) 3)) (fma.f64 (log1p.f64 N) (log1p.f64 N) (fma.f64 (log1p.f64 N) (log.f64 (sqrt.f64 N)) (pow.f64 (*.f64 -1/2 (log.f64 N)) 2))))
(/.f64 (-.f64 (*.f64 (log1p.f64 N) (log1p.f64 N)) (pow.f64 (log.f64 (pow.f64 N -1/2)) 2)) (+.f64 (log1p.f64 N) (log.f64 (sqrt.f64 N))))
(/.f64 (-.f64 (*.f64 (log1p.f64 N) (log1p.f64 N)) (pow.f64 (*.f64 -1/2 (log.f64 N)) 2)) (+.f64 (log1p.f64 N) (log.f64 (sqrt.f64 N))))
(pow.f64 (-.f64 (log1p.f64 N) (log.f64 (sqrt.f64 N))) 1)
(-.f64 (log1p.f64 N) (log.f64 (sqrt.f64 N)))
(pow.f64 (cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 (sqrt.f64 N)))) 3)
(-.f64 (log1p.f64 N) (log.f64 (sqrt.f64 N)))
(pow.f64 (pow.f64 (-.f64 (log1p.f64 N) (log.f64 (sqrt.f64 N))) 3) 1/3)
(-.f64 (log1p.f64 N) (log.f64 (sqrt.f64 N)))
(pow.f64 (sqrt.f64 (-.f64 (log1p.f64 N) (log.f64 (sqrt.f64 N)))) 2)
(-.f64 (log1p.f64 N) (log.f64 (sqrt.f64 N)))
(neg.f64 (log.f64 (/.f64 (sqrt.f64 N) (+.f64 1 N))))
(neg.f64 (-.f64 (log.f64 (sqrt.f64 N)) (log1p.f64 N)))
(+.f64 (neg.f64 (log.f64 (sqrt.f64 N))) (log1p.f64 N))
(sqrt.f64 (pow.f64 (-.f64 (log1p.f64 N) (log.f64 (sqrt.f64 N))) 2))
(fabs.f64 (-.f64 (log1p.f64 N) (log.f64 (sqrt.f64 N))))
(cbrt.f64 (pow.f64 (-.f64 (log1p.f64 N) (log.f64 (sqrt.f64 N))) 3))
(-.f64 (log1p.f64 N) (log.f64 (sqrt.f64 N)))
(expm1.f64 (log1p.f64 (-.f64 (log1p.f64 N) (log.f64 (sqrt.f64 N)))))
(log1p.f64 (-.f64 (/.f64 (+.f64 1 N) (sqrt.f64 N)) 1))
(log1p.f64 (+.f64 (/.f64 (+.f64 N 1) (sqrt.f64 N)) -1))
(exp.f64 (log.f64 (-.f64 (log1p.f64 N) (log.f64 (sqrt.f64 N)))))
(-.f64 (log1p.f64 N) (log.f64 (sqrt.f64 N)))
(exp.f64 (*.f64 (log.f64 (-.f64 (log1p.f64 N) (log.f64 (sqrt.f64 N)))) 1))
(-.f64 (log1p.f64 N) (log.f64 (sqrt.f64 N)))

eval350.0ms (4.7%)

Compiler

Compiled 11237 to 8232 computations (26.7% saved)

prune149.0ms (2%)

Pruning

14 alts after pruning (11 fresh and 3 done)

PrunedKeptTotal
New55410564
Fresh314
Picked235
Done000
Total55914573
Accuracy
100.0%
Counts
573 → 14
Alt Table
Click to see full alt table
StatusAccuracyProgram
95.4%
(fma.f64 (pow.f64 N -1/2) (pow.f64 N -1/2) (fma.f64 1/3 (pow.f64 N -3) (*.f64 -1/2 (pow.f64 N -2))))
97.9%
(pow.f64 (cbrt.f64 (log1p.f64 (/.f64 1 N))) 3)
92.5%
(/.f64 (-.f64 (pow.f64 N -2) (/.f64 1/4 (pow.f64 N 4))) (+.f64 (/.f64 1 N) (*.f64 1/2 (pow.f64 N -2))))
92.7%
(/.f64 (*.f64 N (-.f64 N 1/2)) (pow.f64 N 3))
85.1%
(/.f64 1 N)
97.2%
(-.f64 (+.f64 (/.f64 1 N) (/.f64 1/3 (pow.f64 N 3))) (+.f64 (/.f64 1/2 (pow.f64 N 2)) (/.f64 1/4 (pow.f64 N 4))))
95.9%
(-.f64 (+.f64 (/.f64 1 N) (*.f64 1/3 (pow.f64 N -3))) (*.f64 1/2 (pow.f64 N -2)))
95.9%
(+.f64 (/.f64 1 N) (-.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 1/2 (pow.f64 N 2))))
23.6%
(+.f64 (log.f64 (pow.f64 N -1/2)) (log.f64 (/.f64 (+.f64 N 1) (sqrt.f64 N))))
92.6%
(*.f64 (*.f64 (pow.f64 N -3) N) (+.f64 N -1/2))
27.0%
(neg.f64 (log.f64 (/.f64 N (+.f64 N 1))))
99.8%
(log1p.f64 (/.f64 1 N))
95.1%
(exp.f64 (log.f64 (log1p.f64 (/.f64 1 N))))
98.9%
(cbrt.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 3))
Compiler

Compiled 305 to 242 computations (20.7% saved)

localize330.0ms (4.4%)

Localize:

Found 15 expressions with local error:

NewAccuracyProgram
99.9%
(-.f64 (pow.f64 N -2) (/.f64 1/4 (pow.f64 N 4)))
99.8%
(+.f64 (/.f64 1 N) (*.f64 1/2 (pow.f64 N -2)))
99.6%
(/.f64 1/4 (pow.f64 N 4))
99.3%
(/.f64 (-.f64 (pow.f64 N -2) (/.f64 1/4 (pow.f64 N 4))) (+.f64 (/.f64 1 N) (*.f64 1/2 (pow.f64 N -2))))
100.0%
(log.f64 (log1p.f64 (/.f64 1 N)))
99.8%
(log1p.f64 (/.f64 1 N))
95.1%
(exp.f64 (log.f64 (log1p.f64 (/.f64 1 N))))
100.0%
(pow.f64 N 3)
100.0%
(*.f64 N (-.f64 N 1/2))
99.5%
(/.f64 (*.f64 N (-.f64 N 1/2)) (pow.f64 N 3))
100.0%
(/.f64 N (+.f64 N 1))
27.1%
(log.f64 (/.f64 N (+.f64 N 1)))
99.8%
(log1p.f64 (/.f64 1 N))
98.9%
(cbrt.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 3))
98.8%
(pow.f64 (log1p.f64 (/.f64 1 N)) 3)
Compiler

Compiled 153 to 113 computations (26.1% saved)

series32.0ms (0.4%)

Counts
13 → 132
Calls

39 calls:

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

rewrite308.0ms (4.1%)

Algorithm
batch-egg-rewrite
Rules
684×log1p-expm1-u
302×associate-*r*
222×associate-*l*
217×expm1-log1p-u
212×pow1
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
032316
1507274
27131274
Stop Event
node limit
Counts
13 → 410
Calls
Call 1
Inputs
(pow.f64 (log1p.f64 (/.f64 1 N)) 3)
(cbrt.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 3))
(log.f64 (/.f64 N (+.f64 N 1)))
(/.f64 N (+.f64 N 1))
(/.f64 (*.f64 N (-.f64 N 1/2)) (pow.f64 N 3))
(*.f64 N (-.f64 N 1/2))
(pow.f64 N 3)
(exp.f64 (log.f64 (log1p.f64 (/.f64 1 N))))
(log.f64 (log1p.f64 (/.f64 1 N)))
(/.f64 (-.f64 (pow.f64 N -2) (/.f64 1/4 (pow.f64 N 4))) (+.f64 (/.f64 1 N) (*.f64 1/2 (pow.f64 N -2))))
(/.f64 1/4 (pow.f64 N 4))
(+.f64 (/.f64 1 N) (*.f64 1/2 (pow.f64 N -2)))
(-.f64 (pow.f64 N -2) (/.f64 1/4 (pow.f64 N 4)))
Outputs
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 3))) 1)
(*.f64 1 (pow.f64 (log1p.f64 (/.f64 1 N)) 3))
(*.f64 (log1p.f64 (/.f64 1 N)) (pow.f64 (log1p.f64 (/.f64 1 N)) 2))
(*.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 3) 1)
(*.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 2) (log1p.f64 (/.f64 1 N)))
(*.f64 (cbrt.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 2)) (*.f64 (cbrt.f64 (log1p.f64 (/.f64 1 N))) (pow.f64 (log1p.f64 (/.f64 1 N)) 2)))
(*.f64 (sqrt.f64 (log1p.f64 (/.f64 1 N))) (*.f64 (sqrt.f64 (log1p.f64 (/.f64 1 N))) (pow.f64 (log1p.f64 (/.f64 1 N)) 2)))
(*.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 3/2) (pow.f64 (log1p.f64 (/.f64 1 N)) 3/2))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 2)) 3) (log1p.f64 (/.f64 1 N)))
(*.f64 (pow.f64 (sqrt.f64 (log1p.f64 (/.f64 1 N))) 3) (pow.f64 (sqrt.f64 (log1p.f64 (/.f64 1 N))) 3))
(*.f64 (*.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 2) 1) (log1p.f64 (/.f64 1 N)))
(*.f64 (*.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 2) (cbrt.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 2))) (cbrt.f64 (log1p.f64 (/.f64 1 N))))
(*.f64 (*.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 2) (sqrt.f64 (log1p.f64 (/.f64 1 N)))) (sqrt.f64 (log1p.f64 (/.f64 1 N))))
(sqrt.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 6))
(log.f64 (exp.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 3)))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 3))))
(cbrt.f64 (pow.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 3) 3))
(expm1.f64 (log1p.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 3)))
(log1p.f64 (expm1.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 3)))
(exp.f64 (*.f64 3 (log.f64 (log1p.f64 (/.f64 1 N)))))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (log1p.f64 (/.f64 1 N)))) 1))
(-.f64 (exp.f64 (log1p.f64 (log1p.f64 (/.f64 1 N)))) 1)
(*.f64 1 (log1p.f64 (/.f64 1 N)))
(*.f64 (log1p.f64 (/.f64 1 N)) 1)
(*.f64 (cbrt.f64 (log1p.f64 (/.f64 1 N))) (cbrt.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 2)))
(*.f64 (cbrt.f64 (log1p.f64 (/.f64 1 N))) (pow.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 2) 1/3))
(*.f64 (cbrt.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 2)) (cbrt.f64 (log1p.f64 (/.f64 1 N))))
(*.f64 (sqrt.f64 (log1p.f64 (/.f64 1 N))) (sqrt.f64 (log1p.f64 (/.f64 1 N))))
(*.f64 (pow.f64 1 1/3) (log1p.f64 (/.f64 1 N)))
(*.f64 (pow.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 2) 1/3) (cbrt.f64 (log1p.f64 (/.f64 1 N))))
(*.f64 (pow.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 3/2) 1/3) (pow.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 3/2) 1/3))
(pow.f64 (log1p.f64 (/.f64 1 N)) 1)
(pow.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 3) 1/3)
(pow.f64 (cbrt.f64 (log1p.f64 (/.f64 1 N))) 3)
(pow.f64 (sqrt.f64 (log1p.f64 (/.f64 1 N))) 2)
(pow.f64 (exp.f64 1) (log.f64 (log1p.f64 (/.f64 1 N))))
(pow.f64 (exp.f64 (cbrt.f64 (pow.f64 (log.f64 (log1p.f64 (/.f64 1 N))) 2))) (cbrt.f64 (log.f64 (log1p.f64 (/.f64 1 N)))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (log1p.f64 (/.f64 1 N))))) (sqrt.f64 (log.f64 (log1p.f64 (/.f64 1 N)))))
(sqrt.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 2))
(log.f64 (+.f64 1 (/.f64 1 N)))
(expm1.f64 (log1p.f64 (log1p.f64 (/.f64 1 N))))
(log1p.f64 (/.f64 1 N))
(exp.f64 (log.f64 (log1p.f64 (/.f64 1 N))))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (log1p.f64 (/.f64 1 N)))) 1/3))
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(/.f64 1 (/.f64 (+.f64 (+.f64 (/.f64 1/16 (pow.f64 N 8)) (*.f64 (pow.f64 N -2) (*.f64 1/4 (pow.f64 N -4)))) (pow.f64 N -4)) (-.f64 (pow.f64 N -6) (*.f64 1/64 (pow.f64 (pow.f64 N -4) 3)))))
(/.f64 1 (/.f64 (+.f64 (pow.f64 N -2) (*.f64 1/4 (pow.f64 N -4))) (-.f64 (pow.f64 N -4) (/.f64 1/16 (pow.f64 N 8)))))
(/.f64 (-.f64 (pow.f64 N -6) (*.f64 1/64 (pow.f64 (pow.f64 N -4) 3))) (+.f64 (+.f64 (/.f64 1/16 (pow.f64 N 8)) (*.f64 (pow.f64 N -2) (*.f64 1/4 (pow.f64 N -4)))) (pow.f64 N -4)))
(/.f64 (-.f64 (pow.f64 N -4) (/.f64 1/16 (pow.f64 N 8))) (+.f64 (pow.f64 N -2) (*.f64 1/4 (pow.f64 N -4))))
(/.f64 (neg.f64 (-.f64 (pow.f64 N -6) (*.f64 1/64 (pow.f64 (pow.f64 N -4) 3)))) (neg.f64 (+.f64 (+.f64 (/.f64 1/16 (pow.f64 N 8)) (*.f64 (pow.f64 N -2) (*.f64 1/4 (pow.f64 N -4)))) (pow.f64 N -4))))
(/.f64 (neg.f64 (-.f64 (pow.f64 N -4) (/.f64 1/16 (pow.f64 N 8)))) (neg.f64 (+.f64 (pow.f64 N -2) (*.f64 1/4 (pow.f64 N -4)))))
(/.f64 (+.f64 (pow.f64 N -6) (pow.f64 (*.f64 -1/4 (pow.f64 N -4)) 3)) (+.f64 (pow.f64 N -4) (-.f64 (*.f64 (*.f64 -1/4 (pow.f64 N -4)) (*.f64 -1/4 (pow.f64 N -4))) (*.f64 (pow.f64 N -2) (*.f64 -1/4 (pow.f64 N -4))))))
(/.f64 (-.f64 (pow.f64 N -4) (*.f64 (*.f64 -1/4 (pow.f64 N -4)) (*.f64 -1/4 (pow.f64 N -4)))) (-.f64 (pow.f64 N -2) (*.f64 -1/4 (pow.f64 N -4))))
(pow.f64 (+.f64 (pow.f64 N -2) (*.f64 -1/4 (pow.f64 N -4))) 1)
(pow.f64 (cbrt.f64 (+.f64 (pow.f64 N -2) (*.f64 -1/4 (pow.f64 N -4)))) 3)
(pow.f64 (pow.f64 (+.f64 (pow.f64 N -2) (*.f64 -1/4 (pow.f64 N -4))) 3) 1/3)
(pow.f64 (sqrt.f64 (+.f64 (pow.f64 N -2) (*.f64 -1/4 (pow.f64 N -4)))) 2)
(sqrt.f64 (pow.f64 (+.f64 (pow.f64 N -2) (*.f64 -1/4 (pow.f64 N -4))) 2))
(log.f64 (exp.f64 (+.f64 (pow.f64 N -2) (*.f64 -1/4 (pow.f64 N -4)))))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 (pow.f64 N -2) (*.f64 -1/4 (pow.f64 N -4))))))
(cbrt.f64 (pow.f64 (+.f64 (pow.f64 N -2) (*.f64 -1/4 (pow.f64 N -4))) 3))
(expm1.f64 (log1p.f64 (+.f64 (pow.f64 N -2) (*.f64 -1/4 (pow.f64 N -4)))))
(log1p.f64 (expm1.f64 (+.f64 (pow.f64 N -2) (*.f64 -1/4 (pow.f64 N -4)))))
(exp.f64 (log.f64 (+.f64 (pow.f64 N -2) (*.f64 -1/4 (pow.f64 N -4)))))
(exp.f64 (*.f64 (log.f64 (+.f64 (pow.f64 N -2) (*.f64 -1/4 (pow.f64 N -4)))) 1))
(fma.f64 1 (pow.f64 N -2) (*.f64 -1/4 (pow.f64 N -4)))
(fma.f64 (/.f64 1 N) (/.f64 1 N) (*.f64 -1/4 (pow.f64 N -4)))
(fma.f64 (cbrt.f64 (pow.f64 N -4)) (cbrt.f64 (pow.f64 N -2)) (*.f64 -1/4 (pow.f64 N -4)))

simplify207.0ms (2.8%)

Algorithm
egg-herbie
Rules
1270×times-frac
924×fma-define
468×associate-/r*
398×sqr-pow
334×*-commutative
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
094919496
1239217237
Stop Event
node limit
Counts
542 → 620
Calls
Call 1
Inputs
(*.f64 -1 (pow.f64 (log.f64 N) 3))
(+.f64 (*.f64 -1 (pow.f64 (log.f64 N) 3)) (*.f64 N (+.f64 (*.f64 2 (pow.f64 (log.f64 N) 2)) (pow.f64 (log.f64 N) 2))))
(+.f64 (*.f64 -1 (pow.f64 (log.f64 N) 3)) (+.f64 (*.f64 N (+.f64 (*.f64 2 (pow.f64 (log.f64 N) 2)) (pow.f64 (log.f64 N) 2))) (*.f64 (pow.f64 N 2) (+.f64 (*.f64 -2 (log.f64 N)) (+.f64 (*.f64 -1 (*.f64 (log.f64 N) (+.f64 1 (log.f64 N)))) (*.f64 -1/2 (pow.f64 (log.f64 N) 2)))))))
(+.f64 (*.f64 -1 (pow.f64 (log.f64 N) 3)) (+.f64 (*.f64 N (+.f64 (*.f64 2 (pow.f64 (log.f64 N) 2)) (pow.f64 (log.f64 N) 2))) (+.f64 (*.f64 (pow.f64 N 2) (+.f64 (*.f64 -2 (log.f64 N)) (+.f64 (*.f64 -1 (*.f64 (log.f64 N) (+.f64 1 (log.f64 N)))) (*.f64 -1/2 (pow.f64 (log.f64 N) 2))))) (*.f64 (pow.f64 N 3) (+.f64 1 (+.f64 (*.f64 -1 (*.f64 (log.f64 N) (-.f64 (*.f64 -2/3 (log.f64 N)) 1))) (+.f64 (*.f64 1/3 (pow.f64 (log.f64 N) 2)) (*.f64 2 (log.f64 N)))))))))
(/.f64 1 (pow.f64 N 3))
(-.f64 (/.f64 1 (pow.f64 N 3)) (*.f64 3/2 (/.f64 1 (pow.f64 N 4))))
(-.f64 (+.f64 (*.f64 7/4 (/.f64 1 (pow.f64 N 5))) (/.f64 1 (pow.f64 N 3))) (*.f64 3/2 (/.f64 1 (pow.f64 N 4))))
(-.f64 (+.f64 (*.f64 7/4 (/.f64 1 (pow.f64 N 5))) (/.f64 1 (pow.f64 N 3))) (+.f64 (*.f64 3/2 (/.f64 1 (pow.f64 N 4))) (*.f64 15/8 (/.f64 1 (pow.f64 N 6)))))
(/.f64 1 (pow.f64 N 3))
(-.f64 (/.f64 1 (pow.f64 N 3)) (*.f64 3/2 (/.f64 1 (pow.f64 N 4))))
(-.f64 (+.f64 (*.f64 7/4 (/.f64 1 (pow.f64 N 5))) (/.f64 1 (pow.f64 N 3))) (*.f64 3/2 (/.f64 1 (pow.f64 N 4))))
(-.f64 (+.f64 (*.f64 7/4 (/.f64 1 (pow.f64 N 5))) (/.f64 1 (pow.f64 N 3))) (+.f64 (*.f64 3/2 (/.f64 1 (pow.f64 N 4))) (*.f64 15/8 (/.f64 1 (pow.f64 N 6)))))
(*.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 N)
(+.f64 (log.f64 N) (*.f64 -1 N))
(+.f64 (log.f64 N) (+.f64 (*.f64 -1 N) (*.f64 1/2 (pow.f64 N 2))))
(+.f64 (log.f64 N) (+.f64 (*.f64 -1 N) (+.f64 (*.f64 -1/3 (pow.f64 N 3)) (*.f64 1/2 (pow.f64 N 2)))))
(/.f64 -1 N)
(-.f64 (*.f64 1/2 (/.f64 1 (pow.f64 N 2))) (/.f64 1 N))
(-.f64 (*.f64 1/2 (/.f64 1 (pow.f64 N 2))) (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 N 3))) (/.f64 1 N)))
(-.f64 (+.f64 (*.f64 1/4 (/.f64 1 (pow.f64 N 4))) (*.f64 1/2 (/.f64 1 (pow.f64 N 2)))) (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 N 3))) (/.f64 1 N)))
(/.f64 -1 N)
(-.f64 (*.f64 1/2 (/.f64 1 (pow.f64 N 2))) (/.f64 1 N))
(-.f64 (*.f64 1/2 (/.f64 1 (pow.f64 N 2))) (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 N 3))) (/.f64 1 N)))
(-.f64 (+.f64 (*.f64 1/4 (/.f64 1 (pow.f64 N 4))) (*.f64 1/2 (/.f64 1 (pow.f64 N 2)))) (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 N 3))) (/.f64 1 N)))
N
(+.f64 N (*.f64 -1 (pow.f64 N 2)))
(+.f64 N (+.f64 (*.f64 -1 (pow.f64 N 2)) (pow.f64 N 3)))
(+.f64 N (+.f64 (*.f64 -1 (pow.f64 N 2)) (+.f64 (*.f64 -1 (pow.f64 N 4)) (pow.f64 N 3))))
1
(-.f64 1 (/.f64 1 N))
(-.f64 (+.f64 1 (/.f64 1 (pow.f64 N 2))) (/.f64 1 N))
(-.f64 (+.f64 1 (/.f64 1 (pow.f64 N 2))) (+.f64 (/.f64 1 N) (/.f64 1 (pow.f64 N 3))))
1
(-.f64 1 (/.f64 1 N))
(-.f64 (+.f64 1 (/.f64 1 (pow.f64 N 2))) (/.f64 1 N))
(-.f64 (+.f64 1 (/.f64 1 (pow.f64 N 2))) (+.f64 (/.f64 1 N) (/.f64 1 (pow.f64 N 3))))
(/.f64 -1/2 (pow.f64 N 2))
(-.f64 (/.f64 1 N) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (/.f64 1 N) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (/.f64 1 N) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(/.f64 1 N)
(-.f64 (/.f64 1 N) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (/.f64 1 N) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (/.f64 1 N) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(/.f64 1 N)
(-.f64 (/.f64 1 N) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (/.f64 1 N) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (/.f64 1 N) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(*.f64 -1/2 N)
(+.f64 (*.f64 -1/2 N) (pow.f64 N 2))
(+.f64 (*.f64 -1/2 N) (pow.f64 N 2))
(+.f64 (*.f64 -1/2 N) (pow.f64 N 2))
(pow.f64 N 2)
(+.f64 (*.f64 -1/2 N) (pow.f64 N 2))
(+.f64 (*.f64 -1/2 N) (pow.f64 N 2))
(+.f64 (*.f64 -1/2 N) (pow.f64 N 2))
(pow.f64 N 2)
(+.f64 (*.f64 -1/2 N) (pow.f64 N 2))
(+.f64 (*.f64 -1/2 N) (pow.f64 N 2))
(+.f64 (*.f64 -1/2 N) (pow.f64 N 2))
(*.f64 -1 (log.f64 N))
(+.f64 N (*.f64 -1 (log.f64 N)))
(+.f64 N (+.f64 (*.f64 -1 (log.f64 N)) (*.f64 -1/2 (pow.f64 N 2))))
(+.f64 N (+.f64 (*.f64 -1 (log.f64 N)) (+.f64 (*.f64 -1/2 (pow.f64 N 2)) (*.f64 1/3 (pow.f64 N 3)))))
(/.f64 1 N)
(-.f64 (/.f64 1 N) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 N 3))) (/.f64 1 N)) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 N 3))) (/.f64 1 N)) (+.f64 (*.f64 1/4 (/.f64 1 (pow.f64 N 4))) (*.f64 1/2 (/.f64 1 (pow.f64 N 2)))))
(/.f64 1 N)
(-.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 (*.f64 -1 (log.f64 N)))
(+.f64 (log.f64 (*.f64 -1 (log.f64 N))) (*.f64 -1 (/.f64 N (log.f64 N))))
(+.f64 (log.f64 (*.f64 -1 (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 (*.f64 -1 (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 -1/2 (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 1/2 (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 -1/4 (pow.f64 N 4))
(-.f64 (/.f64 1 (pow.f64 N 2)) (*.f64 1/4 (/.f64 1 (pow.f64 N 4))))
(-.f64 (/.f64 1 (pow.f64 N 2)) (*.f64 1/4 (/.f64 1 (pow.f64 N 4))))
(-.f64 (/.f64 1 (pow.f64 N 2)) (*.f64 1/4 (/.f64 1 (pow.f64 N 4))))
(/.f64 1 (pow.f64 N 2))
(-.f64 (/.f64 1 (pow.f64 N 2)) (*.f64 1/4 (/.f64 1 (pow.f64 N 4))))
(-.f64 (/.f64 1 (pow.f64 N 2)) (*.f64 1/4 (/.f64 1 (pow.f64 N 4))))
(-.f64 (/.f64 1 (pow.f64 N 2)) (*.f64 1/4 (/.f64 1 (pow.f64 N 4))))
(/.f64 1 (pow.f64 N 2))
(-.f64 (/.f64 1 (pow.f64 N 2)) (*.f64 1/4 (/.f64 1 (pow.f64 N 4))))
(-.f64 (/.f64 1 (pow.f64 N 2)) (*.f64 1/4 (/.f64 1 (pow.f64 N 4))))
(-.f64 (/.f64 1 (pow.f64 N 2)) (*.f64 1/4 (/.f64 1 (pow.f64 N 4))))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 3))) 1)
(*.f64 1 (pow.f64 (log1p.f64 (/.f64 1 N)) 3))
(*.f64 (log1p.f64 (/.f64 1 N)) (pow.f64 (log1p.f64 (/.f64 1 N)) 2))
(*.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 3) 1)
(*.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 2) (log1p.f64 (/.f64 1 N)))
(*.f64 (cbrt.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 2)) (*.f64 (cbrt.f64 (log1p.f64 (/.f64 1 N))) (pow.f64 (log1p.f64 (/.f64 1 N)) 2)))
(*.f64 (sqrt.f64 (log1p.f64 (/.f64 1 N))) (*.f64 (sqrt.f64 (log1p.f64 (/.f64 1 N))) (pow.f64 (log1p.f64 (/.f64 1 N)) 2)))
(*.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 3/2) (pow.f64 (log1p.f64 (/.f64 1 N)) 3/2))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 2)) 3) (log1p.f64 (/.f64 1 N)))
(*.f64 (pow.f64 (sqrt.f64 (log1p.f64 (/.f64 1 N))) 3) (pow.f64 (sqrt.f64 (log1p.f64 (/.f64 1 N))) 3))
(*.f64 (*.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 2) 1) (log1p.f64 (/.f64 1 N)))
(*.f64 (*.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 2) (cbrt.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 2))) (cbrt.f64 (log1p.f64 (/.f64 1 N))))
(*.f64 (*.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 2) (sqrt.f64 (log1p.f64 (/.f64 1 N)))) (sqrt.f64 (log1p.f64 (/.f64 1 N))))
(sqrt.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 6))
(log.f64 (exp.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 3)))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 3))))
(cbrt.f64 (pow.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 3) 3))
(expm1.f64 (log1p.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 3)))
(log1p.f64 (expm1.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 3)))
(exp.f64 (*.f64 3 (log.f64 (log1p.f64 (/.f64 1 N)))))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (log1p.f64 (/.f64 1 N)))) 1))
(-.f64 (exp.f64 (log1p.f64 (log1p.f64 (/.f64 1 N)))) 1)
(*.f64 1 (log1p.f64 (/.f64 1 N)))
(*.f64 (log1p.f64 (/.f64 1 N)) 1)
(*.f64 (cbrt.f64 (log1p.f64 (/.f64 1 N))) (cbrt.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 2)))
(*.f64 (cbrt.f64 (log1p.f64 (/.f64 1 N))) (pow.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 2) 1/3))
(*.f64 (cbrt.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 2)) (cbrt.f64 (log1p.f64 (/.f64 1 N))))
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(+.f64 (+.f64 (pow.f64 N -2) (*.f64 -1/4 (pow.f64 N -4))) (fma.f64 (neg.f64 (pow.f64 N -4)) 1/4 (*.f64 1/4 (pow.f64 N -4))))
(+.f64 (+.f64 (pow.f64 N -2) (*.f64 -1/4 (pow.f64 N -4))) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 1/4 (pow.f64 N -4)))) (cbrt.f64 (/.f64 1/16 (pow.f64 N 8))) (*.f64 1/4 (pow.f64 N -4))))
(+.f64 (+.f64 (pow.f64 N -2) (*.f64 -1/4 (pow.f64 N -4))) (fma.f64 (neg.f64 (*.f64 1/2 (pow.f64 N -2))) (*.f64 1/2 (pow.f64 N -2)) (*.f64 1/4 (pow.f64 N -4))))
(+.f64 (*.f64 -1/4 (pow.f64 N -4)) (pow.f64 N -2))
(*.f64 1 (+.f64 (pow.f64 N -2) (*.f64 -1/4 (pow.f64 N -4))))
(*.f64 (+.f64 (pow.f64 N -2) (*.f64 -1/4 (pow.f64 N -4))) 1)
(*.f64 (fma.f64 1/2 (pow.f64 N -2) (/.f64 1 N)) (+.f64 (/.f64 1 N) (*.f64 -1/2 (pow.f64 N -2))))
(*.f64 (cbrt.f64 (+.f64 (pow.f64 N -2) (*.f64 -1/4 (pow.f64 N -4)))) (pow.f64 (cbrt.f64 (+.f64 (pow.f64 N -2) (*.f64 -1/4 (pow.f64 N -4)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 (pow.f64 N -2) (*.f64 -1/4 (pow.f64 N -4)))) 2) (cbrt.f64 (+.f64 (pow.f64 N -2) (*.f64 -1/4 (pow.f64 N -4)))))
(*.f64 (sqrt.f64 (+.f64 (pow.f64 N -2) (*.f64 -1/4 (pow.f64 N -4)))) (sqrt.f64 (+.f64 (pow.f64 N -2) (*.f64 -1/4 (pow.f64 N -4)))))
(*.f64 (-.f64 (pow.f64 N -6) (*.f64 1/64 (pow.f64 (pow.f64 N -4) 3))) (/.f64 1 (+.f64 (+.f64 (/.f64 1/16 (pow.f64 N 8)) (*.f64 (pow.f64 N -2) (*.f64 1/4 (pow.f64 N -4)))) (pow.f64 N -4))))
(*.f64 (-.f64 (pow.f64 N -4) (/.f64 1/16 (pow.f64 N 8))) (/.f64 1 (+.f64 (pow.f64 N -2) (*.f64 1/4 (pow.f64 N -4)))))
(/.f64 1 (/.f64 (+.f64 (+.f64 (/.f64 1/16 (pow.f64 N 8)) (*.f64 (pow.f64 N -2) (*.f64 1/4 (pow.f64 N -4)))) (pow.f64 N -4)) (-.f64 (pow.f64 N -6) (*.f64 1/64 (pow.f64 (pow.f64 N -4) 3)))))
(/.f64 1 (/.f64 (+.f64 (pow.f64 N -2) (*.f64 1/4 (pow.f64 N -4))) (-.f64 (pow.f64 N -4) (/.f64 1/16 (pow.f64 N 8)))))
(/.f64 (-.f64 (pow.f64 N -6) (*.f64 1/64 (pow.f64 (pow.f64 N -4) 3))) (+.f64 (+.f64 (/.f64 1/16 (pow.f64 N 8)) (*.f64 (pow.f64 N -2) (*.f64 1/4 (pow.f64 N -4)))) (pow.f64 N -4)))
(/.f64 (-.f64 (pow.f64 N -4) (/.f64 1/16 (pow.f64 N 8))) (+.f64 (pow.f64 N -2) (*.f64 1/4 (pow.f64 N -4))))
(/.f64 (neg.f64 (-.f64 (pow.f64 N -6) (*.f64 1/64 (pow.f64 (pow.f64 N -4) 3)))) (neg.f64 (+.f64 (+.f64 (/.f64 1/16 (pow.f64 N 8)) (*.f64 (pow.f64 N -2) (*.f64 1/4 (pow.f64 N -4)))) (pow.f64 N -4))))
(/.f64 (neg.f64 (-.f64 (pow.f64 N -4) (/.f64 1/16 (pow.f64 N 8)))) (neg.f64 (+.f64 (pow.f64 N -2) (*.f64 1/4 (pow.f64 N -4)))))
(/.f64 (+.f64 (pow.f64 N -6) (pow.f64 (*.f64 -1/4 (pow.f64 N -4)) 3)) (+.f64 (pow.f64 N -4) (-.f64 (*.f64 (*.f64 -1/4 (pow.f64 N -4)) (*.f64 -1/4 (pow.f64 N -4))) (*.f64 (pow.f64 N -2) (*.f64 -1/4 (pow.f64 N -4))))))
(/.f64 (-.f64 (pow.f64 N -4) (*.f64 (*.f64 -1/4 (pow.f64 N -4)) (*.f64 -1/4 (pow.f64 N -4)))) (-.f64 (pow.f64 N -2) (*.f64 -1/4 (pow.f64 N -4))))
(pow.f64 (+.f64 (pow.f64 N -2) (*.f64 -1/4 (pow.f64 N -4))) 1)
(pow.f64 (cbrt.f64 (+.f64 (pow.f64 N -2) (*.f64 -1/4 (pow.f64 N -4)))) 3)
(pow.f64 (pow.f64 (+.f64 (pow.f64 N -2) (*.f64 -1/4 (pow.f64 N -4))) 3) 1/3)
(pow.f64 (sqrt.f64 (+.f64 (pow.f64 N -2) (*.f64 -1/4 (pow.f64 N -4)))) 2)
(sqrt.f64 (pow.f64 (+.f64 (pow.f64 N -2) (*.f64 -1/4 (pow.f64 N -4))) 2))
(log.f64 (exp.f64 (+.f64 (pow.f64 N -2) (*.f64 -1/4 (pow.f64 N -4)))))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 (pow.f64 N -2) (*.f64 -1/4 (pow.f64 N -4))))))
(cbrt.f64 (pow.f64 (+.f64 (pow.f64 N -2) (*.f64 -1/4 (pow.f64 N -4))) 3))
(expm1.f64 (log1p.f64 (+.f64 (pow.f64 N -2) (*.f64 -1/4 (pow.f64 N -4)))))
(log1p.f64 (expm1.f64 (+.f64 (pow.f64 N -2) (*.f64 -1/4 (pow.f64 N -4)))))
(exp.f64 (log.f64 (+.f64 (pow.f64 N -2) (*.f64 -1/4 (pow.f64 N -4)))))
(exp.f64 (*.f64 (log.f64 (+.f64 (pow.f64 N -2) (*.f64 -1/4 (pow.f64 N -4)))) 1))
(fma.f64 1 (pow.f64 N -2) (*.f64 -1/4 (pow.f64 N -4)))
(fma.f64 (/.f64 1 N) (/.f64 1 N) (*.f64 -1/4 (pow.f64 N -4)))
(fma.f64 (cbrt.f64 (pow.f64 N -4)) (cbrt.f64 (pow.f64 N -2)) (*.f64 -1/4 (pow.f64 N -4)))
Outputs
(*.f64 -1 (pow.f64 (log.f64 N) 3))
(neg.f64 (pow.f64 (log.f64 N) 3))
(+.f64 (*.f64 -1 (pow.f64 (log.f64 N) 3)) (*.f64 N (+.f64 (*.f64 2 (pow.f64 (log.f64 N) 2)) (pow.f64 (log.f64 N) 2))))
(fma.f64 -1 (pow.f64 (log.f64 N) 3) (*.f64 N (*.f64 3 (pow.f64 (log.f64 N) 2))))
(-.f64 (*.f64 N (*.f64 3 (pow.f64 (log.f64 N) 2))) (pow.f64 (log.f64 N) 3))
(+.f64 (*.f64 -1 (pow.f64 (log.f64 N) 3)) (+.f64 (*.f64 N (+.f64 (*.f64 2 (pow.f64 (log.f64 N) 2)) (pow.f64 (log.f64 N) 2))) (*.f64 (pow.f64 N 2) (+.f64 (*.f64 -2 (log.f64 N)) (+.f64 (*.f64 -1 (*.f64 (log.f64 N) (+.f64 1 (log.f64 N)))) (*.f64 -1/2 (pow.f64 (log.f64 N) 2)))))))
(fma.f64 -1 (pow.f64 (log.f64 N) 3) (fma.f64 N (*.f64 3 (pow.f64 (log.f64 N) 2)) (*.f64 (pow.f64 N 2) (fma.f64 -2 (log.f64 N) (fma.f64 -1 (*.f64 (log.f64 N) (+.f64 (log.f64 N) 1)) (*.f64 (pow.f64 (log.f64 N) 2) -1/2))))))
(-.f64 (fma.f64 (pow.f64 N 2) (fma.f64 (log.f64 N) -2 (-.f64 (*.f64 (pow.f64 (log.f64 N) 2) -1/2) (+.f64 (log.f64 N) (pow.f64 (log.f64 N) 2)))) (*.f64 N (*.f64 3 (pow.f64 (log.f64 N) 2)))) (pow.f64 (log.f64 N) 3))
(+.f64 (*.f64 -1 (pow.f64 (log.f64 N) 3)) (+.f64 (*.f64 N (+.f64 (*.f64 2 (pow.f64 (log.f64 N) 2)) (pow.f64 (log.f64 N) 2))) (+.f64 (*.f64 (pow.f64 N 2) (+.f64 (*.f64 -2 (log.f64 N)) (+.f64 (*.f64 -1 (*.f64 (log.f64 N) (+.f64 1 (log.f64 N)))) (*.f64 -1/2 (pow.f64 (log.f64 N) 2))))) (*.f64 (pow.f64 N 3) (+.f64 1 (+.f64 (*.f64 -1 (*.f64 (log.f64 N) (-.f64 (*.f64 -2/3 (log.f64 N)) 1))) (+.f64 (*.f64 1/3 (pow.f64 (log.f64 N) 2)) (*.f64 2 (log.f64 N)))))))))
(fma.f64 -1 (pow.f64 (log.f64 N) 3) (fma.f64 N (*.f64 3 (pow.f64 (log.f64 N) 2)) (fma.f64 (pow.f64 N 2) (fma.f64 -2 (log.f64 N) (fma.f64 -1 (*.f64 (log.f64 N) (+.f64 (log.f64 N) 1)) (*.f64 (pow.f64 (log.f64 N) 2) -1/2))) (*.f64 (pow.f64 N 3) (+.f64 1 (fma.f64 -1 (*.f64 (log.f64 N) (fma.f64 -2/3 (log.f64 N) -1)) (fma.f64 1/3 (pow.f64 (log.f64 N) 2) (*.f64 (log.f64 N) 2))))))))
(-.f64 (fma.f64 N (*.f64 3 (pow.f64 (log.f64 N) 2)) (fma.f64 (pow.f64 N 2) (fma.f64 (log.f64 N) -2 (-.f64 (*.f64 (pow.f64 (log.f64 N) 2) -1/2) (+.f64 (log.f64 N) (pow.f64 (log.f64 N) 2)))) (*.f64 (pow.f64 N 3) (+.f64 1 (fma.f64 (neg.f64 (log.f64 N)) (fma.f64 (log.f64 N) -2/3 -1) (fma.f64 (log.f64 N) 2 (*.f64 (pow.f64 (log.f64 N) 2) 1/3))))))) (pow.f64 (log.f64 N) 3))
(/.f64 1 (pow.f64 N 3))
(-.f64 (/.f64 1 (pow.f64 N 3)) (*.f64 3/2 (/.f64 1 (pow.f64 N 4))))
(-.f64 (/.f64 1 (pow.f64 N 3)) (/.f64 3/2 (pow.f64 N 4)))
(+.f64 (/.f64 1 (pow.f64 N 3)) (/.f64 -3/2 (pow.f64 N 4)))
(-.f64 (+.f64 (*.f64 7/4 (/.f64 1 (pow.f64 N 5))) (/.f64 1 (pow.f64 N 3))) (*.f64 3/2 (/.f64 1 (pow.f64 N 4))))
(+.f64 (/.f64 7/4 (pow.f64 N 5)) (-.f64 (/.f64 1 (pow.f64 N 3)) (/.f64 3/2 (pow.f64 N 4))))
(+.f64 (/.f64 1 (pow.f64 N 3)) (+.f64 (/.f64 7/4 (pow.f64 N 5)) (/.f64 -3/2 (pow.f64 N 4))))
(-.f64 (+.f64 (*.f64 7/4 (/.f64 1 (pow.f64 N 5))) (/.f64 1 (pow.f64 N 3))) (+.f64 (*.f64 3/2 (/.f64 1 (pow.f64 N 4))) (*.f64 15/8 (/.f64 1 (pow.f64 N 6)))))
(+.f64 (/.f64 7/4 (pow.f64 N 5)) (-.f64 (/.f64 1 (pow.f64 N 3)) (+.f64 (/.f64 3/2 (pow.f64 N 4)) (/.f64 15/8 (pow.f64 N 6)))))
(/.f64 1 (pow.f64 N 3))
(-.f64 (/.f64 1 (pow.f64 N 3)) (*.f64 3/2 (/.f64 1 (pow.f64 N 4))))
(-.f64 (/.f64 1 (pow.f64 N 3)) (/.f64 3/2 (pow.f64 N 4)))
(+.f64 (/.f64 1 (pow.f64 N 3)) (/.f64 -3/2 (pow.f64 N 4)))
(-.f64 (+.f64 (*.f64 7/4 (/.f64 1 (pow.f64 N 5))) (/.f64 1 (pow.f64 N 3))) (*.f64 3/2 (/.f64 1 (pow.f64 N 4))))
(+.f64 (/.f64 7/4 (pow.f64 N 5)) (-.f64 (/.f64 1 (pow.f64 N 3)) (/.f64 3/2 (pow.f64 N 4))))
(+.f64 (/.f64 1 (pow.f64 N 3)) (+.f64 (/.f64 7/4 (pow.f64 N 5)) (/.f64 -3/2 (pow.f64 N 4))))
(-.f64 (+.f64 (*.f64 7/4 (/.f64 1 (pow.f64 N 5))) (/.f64 1 (pow.f64 N 3))) (+.f64 (*.f64 3/2 (/.f64 1 (pow.f64 N 4))) (*.f64 15/8 (/.f64 1 (pow.f64 N 6)))))
(+.f64 (/.f64 7/4 (pow.f64 N 5)) (-.f64 (/.f64 1 (pow.f64 N 3)) (+.f64 (/.f64 3/2 (pow.f64 N 4)) (/.f64 15/8 (pow.f64 N 6)))))
(*.f64 -1 (log.f64 N))
(neg.f64 (log.f64 N))
(+.f64 N (*.f64 -1 (log.f64 N)))
(+.f64 N (neg.f64 (log.f64 N)))
(-.f64 N (log.f64 N))
(+.f64 N (+.f64 (*.f64 -1 (log.f64 N)) (*.f64 -1/2 (pow.f64 N 2))))
(+.f64 N (fma.f64 -1 (log.f64 N) (*.f64 (pow.f64 N 2) -1/2)))
(+.f64 N (-.f64 (*.f64 (pow.f64 N 2) -1/2) (log.f64 N)))
(+.f64 N (+.f64 (*.f64 -1 (log.f64 N)) (+.f64 (*.f64 -1/2 (pow.f64 N 2)) (*.f64 1/3 (pow.f64 N 3)))))
(+.f64 N (fma.f64 -1 (log.f64 N) (fma.f64 -1/2 (pow.f64 N 2) (*.f64 (pow.f64 N 3) 1/3))))
(+.f64 (-.f64 N (log.f64 N)) (fma.f64 (pow.f64 N 3) 1/3 (*.f64 (pow.f64 N 2) -1/2)))
(/.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)))
(fma.f64 -1/2 (pow.f64 N -2) (/.f64 1 N))
(-.f64 (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 N 3))) (/.f64 1 N)) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (-.f64 (/.f64 1 N) (/.f64 1/2 (pow.f64 N 2))))
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (fma.f64 -1/2 (pow.f64 N -2) (/.f64 1 N)))
(-.f64 (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 N 3))) (/.f64 1 N)) (+.f64 (*.f64 1/4 (/.f64 1 (pow.f64 N 4))) (*.f64 1/2 (/.f64 1 (pow.f64 N 2)))))
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (-.f64 (/.f64 1 N) (+.f64 (/.f64 1/2 (pow.f64 N 2)) (/.f64 1/4 (pow.f64 N 4)))))
(+.f64 (/.f64 1 N) (-.f64 (/.f64 1/3 (pow.f64 N 3)) (fma.f64 1/2 (pow.f64 N -2) (/.f64 1/4 (pow.f64 N 4)))))
(/.f64 1 N)
(-.f64 (/.f64 1 N) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (/.f64 1 N) (/.f64 1/2 (pow.f64 N 2)))
(fma.f64 -1/2 (pow.f64 N -2) (/.f64 1 N))
(-.f64 (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 N 3))) (/.f64 1 N)) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (-.f64 (/.f64 1 N) (/.f64 1/2 (pow.f64 N 2))))
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (fma.f64 -1/2 (pow.f64 N -2) (/.f64 1 N)))
(-.f64 (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 N 3))) (/.f64 1 N)) (+.f64 (*.f64 1/4 (/.f64 1 (pow.f64 N 4))) (*.f64 1/2 (/.f64 1 (pow.f64 N 2)))))
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (-.f64 (/.f64 1 N) (+.f64 (/.f64 1/2 (pow.f64 N 2)) (/.f64 1/4 (pow.f64 N 4)))))
(+.f64 (/.f64 1 N) (-.f64 (/.f64 1/3 (pow.f64 N 3)) (fma.f64 1/2 (pow.f64 N -2) (/.f64 1/4 (pow.f64 N 4)))))
(log.f64 N)
(+.f64 (log.f64 N) (*.f64 -1 N))
(+.f64 (log.f64 N) (neg.f64 N))
(-.f64 (log.f64 N) N)
(+.f64 (log.f64 N) (+.f64 (*.f64 -1 N) (*.f64 1/2 (pow.f64 N 2))))
(+.f64 (log.f64 N) (fma.f64 -1 N (*.f64 (pow.f64 N 2) 1/2)))
(+.f64 (log.f64 N) (-.f64 (*.f64 (pow.f64 N 2) 1/2) N))
(+.f64 (log.f64 N) (+.f64 (*.f64 -1 N) (+.f64 (*.f64 -1/3 (pow.f64 N 3)) (*.f64 1/2 (pow.f64 N 2)))))
(+.f64 (log.f64 N) (fma.f64 -1 N (fma.f64 -1/3 (pow.f64 N 3) (*.f64 (pow.f64 N 2) 1/2))))
(+.f64 (fma.f64 (pow.f64 N 2) 1/2 (*.f64 (pow.f64 N 3) -1/3)) (-.f64 (log.f64 N) N))
(/.f64 -1 N)
(-.f64 (*.f64 1/2 (/.f64 1 (pow.f64 N 2))) (/.f64 1 N))
(-.f64 (/.f64 1/2 (pow.f64 N 2)) (/.f64 1 N))
(fma.f64 1/2 (pow.f64 N -2) (/.f64 -1 N))
(-.f64 (*.f64 1/2 (/.f64 1 (pow.f64 N 2))) (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 N 3))) (/.f64 1 N)))
(-.f64 (-.f64 (/.f64 1/2 (pow.f64 N 2)) (/.f64 1/3 (pow.f64 N 3))) (/.f64 1 N))
(-.f64 (fma.f64 1/2 (pow.f64 N -2) (/.f64 -1 N)) (/.f64 1/3 (pow.f64 N 3)))
(-.f64 (+.f64 (*.f64 1/4 (/.f64 1 (pow.f64 N 4))) (*.f64 1/2 (/.f64 1 (pow.f64 N 2)))) (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 N 3))) (/.f64 1 N)))
(+.f64 (/.f64 1/4 (pow.f64 N 4)) (-.f64 (-.f64 (/.f64 1/2 (pow.f64 N 2)) (/.f64 1/3 (pow.f64 N 3))) (/.f64 1 N)))
(+.f64 (/.f64 1/4 (pow.f64 N 4)) (-.f64 (fma.f64 1/2 (pow.f64 N -2) (/.f64 -1 N)) (/.f64 1/3 (pow.f64 N 3))))
(/.f64 -1 N)
(-.f64 (*.f64 1/2 (/.f64 1 (pow.f64 N 2))) (/.f64 1 N))
(-.f64 (/.f64 1/2 (pow.f64 N 2)) (/.f64 1 N))
(fma.f64 1/2 (pow.f64 N -2) (/.f64 -1 N))
(-.f64 (*.f64 1/2 (/.f64 1 (pow.f64 N 2))) (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 N 3))) (/.f64 1 N)))
(-.f64 (-.f64 (/.f64 1/2 (pow.f64 N 2)) (/.f64 1/3 (pow.f64 N 3))) (/.f64 1 N))
(-.f64 (fma.f64 1/2 (pow.f64 N -2) (/.f64 -1 N)) (/.f64 1/3 (pow.f64 N 3)))
(-.f64 (+.f64 (*.f64 1/4 (/.f64 1 (pow.f64 N 4))) (*.f64 1/2 (/.f64 1 (pow.f64 N 2)))) (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 N 3))) (/.f64 1 N)))
(+.f64 (/.f64 1/4 (pow.f64 N 4)) (-.f64 (-.f64 (/.f64 1/2 (pow.f64 N 2)) (/.f64 1/3 (pow.f64 N 3))) (/.f64 1 N)))
(+.f64 (/.f64 1/4 (pow.f64 N 4)) (-.f64 (fma.f64 1/2 (pow.f64 N -2) (/.f64 -1 N)) (/.f64 1/3 (pow.f64 N 3))))
N
(+.f64 N (*.f64 -1 (pow.f64 N 2)))
(+.f64 N (neg.f64 (pow.f64 N 2)))
(-.f64 N (pow.f64 N 2))
(+.f64 N (+.f64 (*.f64 -1 (pow.f64 N 2)) (pow.f64 N 3)))
(+.f64 N (fma.f64 -1 (pow.f64 N 2) (pow.f64 N 3)))
(+.f64 (pow.f64 N 3) (-.f64 N (pow.f64 N 2)))
(+.f64 N (+.f64 (*.f64 -1 (pow.f64 N 2)) (+.f64 (*.f64 -1 (pow.f64 N 4)) (pow.f64 N 3))))
(+.f64 N (fma.f64 -1 (pow.f64 N 2) (fma.f64 -1 (pow.f64 N 4) (pow.f64 N 3))))
(+.f64 (-.f64 N (pow.f64 N 2)) (-.f64 (pow.f64 N 3) (pow.f64 N 4)))
1
(-.f64 1 (/.f64 1 N))
(+.f64 1 (/.f64 -1 N))
(-.f64 (+.f64 1 (/.f64 1 (pow.f64 N 2))) (/.f64 1 N))
(+.f64 1 (-.f64 (/.f64 1 (pow.f64 N 2)) (/.f64 1 N)))
(+.f64 1 (+.f64 (pow.f64 N -2) (/.f64 -1 N)))
(-.f64 (+.f64 1 (/.f64 1 (pow.f64 N 2))) (+.f64 (/.f64 1 N) (/.f64 1 (pow.f64 N 3))))
(-.f64 (+.f64 1 (/.f64 1 (pow.f64 N 2))) (+.f64 (/.f64 1 (pow.f64 N 3)) (/.f64 1 N)))
(+.f64 1 (+.f64 (pow.f64 N -2) (+.f64 (/.f64 -1 (pow.f64 N 3)) (/.f64 -1 N))))
1
(-.f64 1 (/.f64 1 N))
(+.f64 1 (/.f64 -1 N))
(-.f64 (+.f64 1 (/.f64 1 (pow.f64 N 2))) (/.f64 1 N))
(+.f64 1 (-.f64 (/.f64 1 (pow.f64 N 2)) (/.f64 1 N)))
(+.f64 1 (+.f64 (pow.f64 N -2) (/.f64 -1 N)))
(-.f64 (+.f64 1 (/.f64 1 (pow.f64 N 2))) (+.f64 (/.f64 1 N) (/.f64 1 (pow.f64 N 3))))
(-.f64 (+.f64 1 (/.f64 1 (pow.f64 N 2))) (+.f64 (/.f64 1 (pow.f64 N 3)) (/.f64 1 N)))
(+.f64 1 (+.f64 (pow.f64 N -2) (+.f64 (/.f64 -1 (pow.f64 N 3)) (/.f64 -1 N))))
(/.f64 -1/2 (pow.f64 N 2))
(*.f64 -1/2 (pow.f64 N -2))
(-.f64 (/.f64 1 N) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (/.f64 1 N) (/.f64 1/2 (pow.f64 N 2)))
(fma.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)))
(fma.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)))
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(fma.f64 1/2 (pow.f64 N -2) (/.f64 1 N))
(fma.f64 1 (/.f64 1 N) (*.f64 1/2 (pow.f64 N -2)))
(+.f64 (/.f64 1 N) (/.f64 1/2 (pow.f64 N 2)))
(fma.f64 1/2 (pow.f64 N -2) (/.f64 1 N))
(fma.f64 1 (*.f64 1/2 (pow.f64 N -2)) (/.f64 1 N))
(+.f64 (/.f64 1 N) (/.f64 1/2 (pow.f64 N 2)))
(fma.f64 1/2 (pow.f64 N -2) (/.f64 1 N))
(fma.f64 1/2 (pow.f64 N -2) (/.f64 1 N))
(+.f64 (/.f64 1 N) (/.f64 1/2 (pow.f64 N 2)))
(fma.f64 (pow.f64 N -2) 1/2 (/.f64 1 N))
(+.f64 (/.f64 1 N) (/.f64 1/2 (pow.f64 N 2)))
(fma.f64 1/2 (pow.f64 N -2) (/.f64 1 N))
(fma.f64 (cbrt.f64 (pow.f64 N -2)) (/.f64 1 (cbrt.f64 N)) (*.f64 1/2 (pow.f64 N -2)))
(fma.f64 (cbrt.f64 (*.f64 1/4 (pow.f64 N -4))) (cbrt.f64 (*.f64 1/2 (pow.f64 N -2))) (/.f64 1 N))
(fma.f64 (pow.f64 N -1/2) (pow.f64 N -1/2) (*.f64 1/2 (pow.f64 N -2)))
(+.f64 (/.f64 1 N) (/.f64 1/2 (pow.f64 N 2)))
(fma.f64 1/2 (pow.f64 N -2) (/.f64 1 N))
(fma.f64 (*.f64 (/.f64 1 N) (sqrt.f64 1/2)) (*.f64 (/.f64 1 N) (sqrt.f64 1/2)) (/.f64 1 N))
(fma.f64 (/.f64 (*.f64 1 (sqrt.f64 1/2)) N) (/.f64 (*.f64 1 (sqrt.f64 1/2)) N) (/.f64 1 N))
(fma.f64 (/.f64 (sqrt.f64 1/2) N) (/.f64 (sqrt.f64 1/2) N) (/.f64 1 N))
(+.f64 (pow.f64 N -2) (*.f64 -1/4 (pow.f64 N -4)))
(fma.f64 -1/4 (pow.f64 N -4) (pow.f64 N -2))
(+.f64 (pow.f64 N -2) (*.f64 (*.f64 -1/4 (pow.f64 N -4)) 1))
(fma.f64 -1/4 (pow.f64 N -4) (pow.f64 N -2))
(+.f64 (+.f64 (pow.f64 N -2) (*.f64 -1/4 (pow.f64 N -4))) (fma.f64 (*.f64 -1/4 (pow.f64 N -4)) 1 (*.f64 1/4 (pow.f64 N -4))))
(+.f64 (fma.f64 -1/4 (pow.f64 N -4) (pow.f64 N -2)) (+.f64 (*.f64 -1/4 (pow.f64 N -4)) (*.f64 1/4 (pow.f64 N -4))))
(+.f64 (pow.f64 N -2) (fma.f64 -1/4 (pow.f64 N -4) (*.f64 (pow.f64 N -4) 0)))
(+.f64 (+.f64 (pow.f64 N -2) (*.f64 -1/4 (pow.f64 N -4))) (fma.f64 (neg.f64 (pow.f64 N -4)) 1/4 (*.f64 1/4 (pow.f64 N -4))))
(+.f64 (fma.f64 -1/4 (pow.f64 N -4) (pow.f64 N -2)) (+.f64 (*.f64 -1/4 (pow.f64 N -4)) (*.f64 1/4 (pow.f64 N -4))))
(+.f64 (pow.f64 N -2) (fma.f64 -1/4 (pow.f64 N -4) (*.f64 (pow.f64 N -4) 0)))
(+.f64 (+.f64 (pow.f64 N -2) (*.f64 -1/4 (pow.f64 N -4))) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 1/4 (pow.f64 N -4)))) (cbrt.f64 (/.f64 1/16 (pow.f64 N 8))) (*.f64 1/4 (pow.f64 N -4))))
(+.f64 (fma.f64 -1/4 (pow.f64 N -4) (pow.f64 N -2)) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 1/4 (pow.f64 N -4)))) (cbrt.f64 (/.f64 1/16 (pow.f64 N 8))) (*.f64 1/4 (pow.f64 N -4))))
(+.f64 (pow.f64 N -2) (fma.f64 -1/4 (pow.f64 N -4) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 1/4 (pow.f64 N -4)))) (cbrt.f64 (/.f64 1/16 (pow.f64 N 8))) (*.f64 1/4 (pow.f64 N -4)))))
(+.f64 (+.f64 (pow.f64 N -2) (*.f64 -1/4 (pow.f64 N -4))) (fma.f64 (neg.f64 (*.f64 1/2 (pow.f64 N -2))) (*.f64 1/2 (pow.f64 N -2)) (*.f64 1/4 (pow.f64 N -4))))
(+.f64 (fma.f64 -1/4 (pow.f64 N -4) (pow.f64 N -2)) (+.f64 (*.f64 -1/4 (pow.f64 N -4)) (*.f64 1/4 (pow.f64 N -4))))
(+.f64 (pow.f64 N -2) (fma.f64 -1/4 (pow.f64 N -4) (*.f64 (pow.f64 N -4) 0)))
(+.f64 (*.f64 -1/4 (pow.f64 N -4)) (pow.f64 N -2))
(fma.f64 -1/4 (pow.f64 N -4) (pow.f64 N -2))
(*.f64 1 (+.f64 (pow.f64 N -2) (*.f64 -1/4 (pow.f64 N -4))))
(fma.f64 -1/4 (pow.f64 N -4) (pow.f64 N -2))
(*.f64 (+.f64 (pow.f64 N -2) (*.f64 -1/4 (pow.f64 N -4))) 1)
(fma.f64 -1/4 (pow.f64 N -4) (pow.f64 N -2))
(*.f64 (fma.f64 1/2 (pow.f64 N -2) (/.f64 1 N)) (+.f64 (/.f64 1 N) (*.f64 -1/2 (pow.f64 N -2))))
(*.f64 (+.f64 (/.f64 1 N) (*.f64 -1/2 (pow.f64 N -2))) (fma.f64 1/2 (pow.f64 N -2) (/.f64 1 N)))
(*.f64 (fma.f64 -1/2 (pow.f64 N -2) (/.f64 1 N)) (fma.f64 1/2 (pow.f64 N -2) (/.f64 1 N)))
(*.f64 (cbrt.f64 (+.f64 (pow.f64 N -2) (*.f64 -1/4 (pow.f64 N -4)))) (pow.f64 (cbrt.f64 (+.f64 (pow.f64 N -2) (*.f64 -1/4 (pow.f64 N -4)))) 2))
(fma.f64 -1/4 (pow.f64 N -4) (pow.f64 N -2))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 (pow.f64 N -2) (*.f64 -1/4 (pow.f64 N -4)))) 2) (cbrt.f64 (+.f64 (pow.f64 N -2) (*.f64 -1/4 (pow.f64 N -4)))))
(fma.f64 -1/4 (pow.f64 N -4) (pow.f64 N -2))
(*.f64 (sqrt.f64 (+.f64 (pow.f64 N -2) (*.f64 -1/4 (pow.f64 N -4)))) (sqrt.f64 (+.f64 (pow.f64 N -2) (*.f64 -1/4 (pow.f64 N -4)))))
(fma.f64 -1/4 (pow.f64 N -4) (pow.f64 N -2))
(*.f64 (-.f64 (pow.f64 N -6) (*.f64 1/64 (pow.f64 (pow.f64 N -4) 3))) (/.f64 1 (+.f64 (+.f64 (/.f64 1/16 (pow.f64 N 8)) (*.f64 (pow.f64 N -2) (*.f64 1/4 (pow.f64 N -4)))) (pow.f64 N -4))))
(*.f64 (+.f64 (pow.f64 N -6) (*.f64 -1/64 (pow.f64 (pow.f64 N -4) 3))) (/.f64 1 (+.f64 (pow.f64 N -4) (+.f64 (/.f64 1/16 (pow.f64 N 8)) (*.f64 (pow.f64 N -2) (*.f64 1/4 (pow.f64 N -4)))))))
(/.f64 (fma.f64 -1/64 (pow.f64 (pow.f64 N -4) 3) (pow.f64 N -6)) (+.f64 (/.f64 1/16 (pow.f64 N 8)) (*.f64 (+.f64 (*.f64 (pow.f64 N -2) 1/4) 1) (pow.f64 N -4))))
(*.f64 (-.f64 (pow.f64 N -4) (/.f64 1/16 (pow.f64 N 8))) (/.f64 1 (+.f64 (pow.f64 N -2) (*.f64 1/4 (pow.f64 N -4)))))
(/.f64 (-.f64 (pow.f64 N -4) (/.f64 1/16 (pow.f64 N 8))) (fma.f64 1/4 (pow.f64 N -4) (pow.f64 N -2)))
(/.f64 1 (/.f64 (+.f64 (+.f64 (/.f64 1/16 (pow.f64 N 8)) (*.f64 (pow.f64 N -2) (*.f64 1/4 (pow.f64 N -4)))) (pow.f64 N -4)) (-.f64 (pow.f64 N -6) (*.f64 1/64 (pow.f64 (pow.f64 N -4) 3)))))
(*.f64 (+.f64 (pow.f64 N -6) (*.f64 -1/64 (pow.f64 (pow.f64 N -4) 3))) (/.f64 1 (+.f64 (pow.f64 N -4) (+.f64 (/.f64 1/16 (pow.f64 N 8)) (*.f64 (pow.f64 N -2) (*.f64 1/4 (pow.f64 N -4)))))))
(/.f64 (fma.f64 -1/64 (pow.f64 (pow.f64 N -4) 3) (pow.f64 N -6)) (+.f64 (/.f64 1/16 (pow.f64 N 8)) (*.f64 (+.f64 (*.f64 (pow.f64 N -2) 1/4) 1) (pow.f64 N -4))))
(/.f64 1 (/.f64 (+.f64 (pow.f64 N -2) (*.f64 1/4 (pow.f64 N -4))) (-.f64 (pow.f64 N -4) (/.f64 1/16 (pow.f64 N 8)))))
(*.f64 (-.f64 (pow.f64 N -4) (/.f64 1/16 (pow.f64 N 8))) (/.f64 1 (+.f64 (pow.f64 N -2) (*.f64 1/4 (pow.f64 N -4)))))
(/.f64 (-.f64 (pow.f64 N -4) (/.f64 1/16 (pow.f64 N 8))) (fma.f64 1/4 (pow.f64 N -4) (pow.f64 N -2)))
(/.f64 (-.f64 (pow.f64 N -6) (*.f64 1/64 (pow.f64 (pow.f64 N -4) 3))) (+.f64 (+.f64 (/.f64 1/16 (pow.f64 N 8)) (*.f64 (pow.f64 N -2) (*.f64 1/4 (pow.f64 N -4)))) (pow.f64 N -4)))
(*.f64 (+.f64 (pow.f64 N -6) (*.f64 -1/64 (pow.f64 (pow.f64 N -4) 3))) (/.f64 1 (+.f64 (pow.f64 N -4) (+.f64 (/.f64 1/16 (pow.f64 N 8)) (*.f64 (pow.f64 N -2) (*.f64 1/4 (pow.f64 N -4)))))))
(/.f64 (fma.f64 -1/64 (pow.f64 (pow.f64 N -4) 3) (pow.f64 N -6)) (+.f64 (/.f64 1/16 (pow.f64 N 8)) (*.f64 (+.f64 (*.f64 (pow.f64 N -2) 1/4) 1) (pow.f64 N -4))))
(/.f64 (-.f64 (pow.f64 N -4) (/.f64 1/16 (pow.f64 N 8))) (+.f64 (pow.f64 N -2) (*.f64 1/4 (pow.f64 N -4))))
(*.f64 (-.f64 (pow.f64 N -4) (/.f64 1/16 (pow.f64 N 8))) (/.f64 1 (+.f64 (pow.f64 N -2) (*.f64 1/4 (pow.f64 N -4)))))
(/.f64 (-.f64 (pow.f64 N -4) (/.f64 1/16 (pow.f64 N 8))) (fma.f64 1/4 (pow.f64 N -4) (pow.f64 N -2)))
(/.f64 (neg.f64 (-.f64 (pow.f64 N -6) (*.f64 1/64 (pow.f64 (pow.f64 N -4) 3)))) (neg.f64 (+.f64 (+.f64 (/.f64 1/16 (pow.f64 N 8)) (*.f64 (pow.f64 N -2) (*.f64 1/4 (pow.f64 N -4)))) (pow.f64 N -4))))
(/.f64 (neg.f64 (+.f64 (pow.f64 N -6) (*.f64 -1/64 (pow.f64 (pow.f64 N -4) 3)))) (neg.f64 (+.f64 (pow.f64 N -4) (+.f64 (/.f64 1/16 (pow.f64 N 8)) (*.f64 (pow.f64 N -2) (*.f64 1/4 (pow.f64 N -4)))))))
(/.f64 (neg.f64 (fma.f64 -1/64 (pow.f64 (pow.f64 N -4) 3) (pow.f64 N -6))) (-.f64 (/.f64 -1/16 (pow.f64 N 8)) (*.f64 (+.f64 (*.f64 (pow.f64 N -2) 1/4) 1) (pow.f64 N -4))))
(/.f64 (neg.f64 (-.f64 (pow.f64 N -4) (/.f64 1/16 (pow.f64 N 8)))) (neg.f64 (+.f64 (pow.f64 N -2) (*.f64 1/4 (pow.f64 N -4)))))
(*.f64 1 (/.f64 (-.f64 (pow.f64 N -4) (/.f64 1/16 (pow.f64 N 8))) (fma.f64 1/4 (pow.f64 N -4) (pow.f64 N -2))))
(/.f64 (+.f64 (pow.f64 N -6) (pow.f64 (*.f64 -1/4 (pow.f64 N -4)) 3)) (+.f64 (pow.f64 N -4) (-.f64 (*.f64 (*.f64 -1/4 (pow.f64 N -4)) (*.f64 -1/4 (pow.f64 N -4))) (*.f64 (pow.f64 N -2) (*.f64 -1/4 (pow.f64 N -4))))))
(/.f64 (+.f64 (pow.f64 N -6) (*.f64 -1/64 (pow.f64 (pow.f64 N -4) 3))) (+.f64 (pow.f64 N -4) (*.f64 (*.f64 -1/4 (pow.f64 N -4)) (-.f64 (*.f64 -1/4 (pow.f64 N -4)) (pow.f64 N -2)))))
(/.f64 (fma.f64 -1/64 (pow.f64 (pow.f64 N -4) 3) (pow.f64 N -6)) (+.f64 (*.f64 1/16 (pow.f64 N -8)) (*.f64 (+.f64 (*.f64 (pow.f64 N -2) 1/4) 1) (pow.f64 N -4))))
(/.f64 (-.f64 (pow.f64 N -4) (*.f64 (*.f64 -1/4 (pow.f64 N -4)) (*.f64 -1/4 (pow.f64 N -4)))) (-.f64 (pow.f64 N -2) (*.f64 -1/4 (pow.f64 N -4))))
(/.f64 (-.f64 (pow.f64 N -4) (*.f64 1/16 (*.f64 (pow.f64 N -4) (pow.f64 N -4)))) (+.f64 (pow.f64 N -2) (*.f64 1/4 (pow.f64 N -4))))
(/.f64 (+.f64 (pow.f64 N -4) (*.f64 -1/16 (pow.f64 N -8))) (fma.f64 1/4 (pow.f64 N -4) (pow.f64 N -2)))
(pow.f64 (+.f64 (pow.f64 N -2) (*.f64 -1/4 (pow.f64 N -4))) 1)
(fma.f64 -1/4 (pow.f64 N -4) (pow.f64 N -2))
(pow.f64 (cbrt.f64 (+.f64 (pow.f64 N -2) (*.f64 -1/4 (pow.f64 N -4)))) 3)
(fma.f64 -1/4 (pow.f64 N -4) (pow.f64 N -2))
(pow.f64 (pow.f64 (+.f64 (pow.f64 N -2) (*.f64 -1/4 (pow.f64 N -4))) 3) 1/3)
(fma.f64 -1/4 (pow.f64 N -4) (pow.f64 N -2))
(pow.f64 (sqrt.f64 (+.f64 (pow.f64 N -2) (*.f64 -1/4 (pow.f64 N -4)))) 2)
(fma.f64 -1/4 (pow.f64 N -4) (pow.f64 N -2))
(sqrt.f64 (pow.f64 (+.f64 (pow.f64 N -2) (*.f64 -1/4 (pow.f64 N -4))) 2))
(sqrt.f64 (pow.f64 (fma.f64 -1/4 (pow.f64 N -4) (pow.f64 N -2)) 2))
(fabs.f64 (fma.f64 -1/4 (pow.f64 N -4) (pow.f64 N -2)))
(log.f64 (exp.f64 (+.f64 (pow.f64 N -2) (*.f64 -1/4 (pow.f64 N -4)))))
(fma.f64 -1/4 (pow.f64 N -4) (pow.f64 N -2))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 (pow.f64 N -2) (*.f64 -1/4 (pow.f64 N -4))))))
(fma.f64 -1/4 (pow.f64 N -4) (pow.f64 N -2))
(cbrt.f64 (pow.f64 (+.f64 (pow.f64 N -2) (*.f64 -1/4 (pow.f64 N -4))) 3))
(fma.f64 -1/4 (pow.f64 N -4) (pow.f64 N -2))
(expm1.f64 (log1p.f64 (+.f64 (pow.f64 N -2) (*.f64 -1/4 (pow.f64 N -4)))))
(expm1.f64 (log1p.f64 (fma.f64 -1/4 (pow.f64 N -4) (pow.f64 N -2))))
(log1p.f64 (expm1.f64 (+.f64 (pow.f64 N -2) (*.f64 -1/4 (pow.f64 N -4)))))
(fma.f64 -1/4 (pow.f64 N -4) (pow.f64 N -2))
(exp.f64 (log.f64 (+.f64 (pow.f64 N -2) (*.f64 -1/4 (pow.f64 N -4)))))
(fma.f64 -1/4 (pow.f64 N -4) (pow.f64 N -2))
(exp.f64 (*.f64 (log.f64 (+.f64 (pow.f64 N -2) (*.f64 -1/4 (pow.f64 N -4)))) 1))
(fma.f64 -1/4 (pow.f64 N -4) (pow.f64 N -2))
(fma.f64 1 (pow.f64 N -2) (*.f64 -1/4 (pow.f64 N -4)))
(fma.f64 -1/4 (pow.f64 N -4) (pow.f64 N -2))
(fma.f64 (/.f64 1 N) (/.f64 1 N) (*.f64 -1/4 (pow.f64 N -4)))
(fma.f64 -1/4 (pow.f64 N -4) (pow.f64 N -2))
(fma.f64 (cbrt.f64 (pow.f64 N -4)) (cbrt.f64 (pow.f64 N -2)) (*.f64 -1/4 (pow.f64 N -4)))

eval345.0ms (4.6%)

Compiler

Compiled 12888 to 9926 computations (23% saved)

prune110.0ms (1.5%)

Pruning

13 alts after pruning (6 fresh and 7 done)

PrunedKeptTotal
New7733776
Fresh336
Picked145
Done033
Total77713790
Accuracy
100.0%
Counts
790 → 13
Alt Table
Click to see full alt table
StatusAccuracyProgram
97.9%
(pow.f64 (cbrt.f64 (log1p.f64 (/.f64 1 N))) 3)
92.7%
(/.f64 (*.f64 N (-.f64 N 1/2)) (pow.f64 N 3))
85.1%
(/.f64 1 N)
97.2%
(-.f64 (+.f64 (/.f64 1 N) (/.f64 1/3 (pow.f64 N 3))) (+.f64 (/.f64 1/2 (pow.f64 N 2)) (/.f64 1/4 (pow.f64 N 4))))
95.9%
(-.f64 (+.f64 (/.f64 1 N) (*.f64 1/3 (pow.f64 N -3))) (*.f64 1/2 (pow.f64 N -2)))
95.9%
(+.f64 (/.f64 1 N) (-.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 1/2 (pow.f64 N 2))))
92.8%
(*.f64 (+.f64 N -1/2) (pow.f64 N -2))
97.2%
(neg.f64 (+.f64 (/.f64 1/4 (pow.f64 N 4)) (-.f64 (-.f64 (/.f64 1/2 (pow.f64 N 2)) (/.f64 1/3 (pow.f64 N 3))) (/.f64 1 N))))
26.2%
(neg.f64 (*.f64 2 (log.f64 (sqrt.f64 (/.f64 N (+.f64 N 1))))))
27.0%
(neg.f64 (log.f64 (/.f64 N (+.f64 N 1))))
99.8%
(log1p.f64 (/.f64 1 N))
95.1%
(exp.f64 (log.f64 (log1p.f64 (/.f64 1 N))))
98.9%
(cbrt.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 3))
Compiler

Compiled 234 to 190 computations (18.8% saved)

localize884.0ms (11.8%)

Localize:

Found 14 expressions with local error:

NewAccuracyProgram
99.8%
(-.f64 (+.f64 (/.f64 1 N) (/.f64 1/3 (pow.f64 N 3))) (+.f64 (/.f64 1/2 (pow.f64 N 2)) (/.f64 1/4 (pow.f64 N 4))))
99.7%
(/.f64 1/2 (pow.f64 N 2))
99.6%
(/.f64 1/4 (pow.f64 N 4))
99.4%
(/.f64 1/3 (pow.f64 N 3))
99.9%
(+.f64 (/.f64 1 N) (*.f64 1/3 (pow.f64 N -3)))
99.8%
(-.f64 (+.f64 (/.f64 1 N) (*.f64 1/3 (pow.f64 N -3))) (*.f64 1/2 (pow.f64 N -2)))
99.4%
(*.f64 1/3 (pow.f64 N -3))
100.0%
(/.f64 N (+.f64 N 1))
99.9%
(sqrt.f64 (/.f64 N (+.f64 N 1)))
26.1%
(log.f64 (sqrt.f64 (/.f64 N (+.f64 N 1))))
99.6%
(*.f64 (+.f64 N -1/2) (pow.f64 N -2))
99.8%
(log1p.f64 (/.f64 1 N))
99.0%
(cbrt.f64 (log1p.f64 (/.f64 1 N)))
99.0%
(pow.f64 (cbrt.f64 (log1p.f64 (/.f64 1 N))) 3)
Compiler

Compiled 208 to 159 computations (23.6% saved)

series31.0ms (0.4%)

Counts
9 → 84
Calls

27 calls:

TimeVariablePointExpression
6.0ms
N
@0
(pow.f64 (cbrt.f64 (log1p.f64 (/.f64 1 N))) 3)
5.0ms
N
@-inf
(log.f64 (sqrt.f64 (/.f64 N (+.f64 N 1))))
3.0ms
N
@inf
(pow.f64 (cbrt.f64 (log1p.f64 (/.f64 1 N))) 3)
2.0ms
N
@0
(cbrt.f64 (log1p.f64 (/.f64 1 N)))
1.0ms
N
@-inf
(pow.f64 (cbrt.f64 (log1p.f64 (/.f64 1 N))) 3)

rewrite115.0ms (1.5%)

Algorithm
batch-egg-rewrite
Rules
300×log1p-expm1-u
300×expm1-log1p-u
285×pow1
282×add-exp-log
280×add-cube-cbrt
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
041279
1673263
Stop Event
node limit
Counts
9 → 265
Calls
Call 1
Inputs
(pow.f64 (cbrt.f64 (log1p.f64 (/.f64 1 N))) 3)
(cbrt.f64 (log1p.f64 (/.f64 1 N)))
(*.f64 (+.f64 N -1/2) (pow.f64 N -2))
(log.f64 (sqrt.f64 (/.f64 N (+.f64 N 1))))
(sqrt.f64 (/.f64 N (+.f64 N 1)))
(*.f64 1/3 (pow.f64 N -3))
(-.f64 (+.f64 (/.f64 1 N) (*.f64 1/3 (pow.f64 N -3))) (*.f64 1/2 (pow.f64 N -2)))
(+.f64 (/.f64 1 N) (*.f64 1/3 (pow.f64 N -3)))
(-.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))))
Outputs
(-.f64 (exp.f64 (log1p.f64 (log1p.f64 (/.f64 1 N)))) 1)
(*.f64 1 (log1p.f64 (/.f64 1 N)))
(*.f64 (cbrt.f64 (log1p.f64 (/.f64 1 N))) (pow.f64 (cbrt.f64 (log1p.f64 (/.f64 1 N))) 2))
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(/.f64 (-.f64 (*.f64 (+.f64 (pow.f64 N 3) (*.f64 N 1/3)) (pow.f64 N 6)) (*.f64 (pow.f64 N 4) (fma.f64 1/2 (pow.f64 N 4) (*.f64 (pow.f64 N 2) 1/4)))) (*.f64 (pow.f64 N 4) (pow.f64 N 6)))
(/.f64 (-.f64 (*.f64 (+.f64 (pow.f64 N 3) (*.f64 N 1/3)) (+.f64 (*.f64 1/4 (pow.f64 N -4)) (-.f64 (/.f64 1/16 (pow.f64 N 8)) (*.f64 (pow.f64 N -6) 1/8)))) (*.f64 (pow.f64 N 4) (+.f64 (*.f64 (pow.f64 N -6) 1/8) (/.f64 1/64 (pow.f64 (pow.f64 N 4) 3))))) (*.f64 (pow.f64 N 4) (+.f64 (*.f64 1/4 (pow.f64 N -4)) (-.f64 (/.f64 1/16 (pow.f64 N 8)) (*.f64 (pow.f64 N -6) 1/8)))))
(/.f64 (-.f64 (*.f64 (+.f64 (pow.f64 N 3) (*.f64 N 1/3)) (-.f64 (*.f64 (pow.f64 N -2) 1/2) (*.f64 1/4 (pow.f64 N -4)))) (*.f64 (pow.f64 N 4) (-.f64 (*.f64 1/4 (pow.f64 N -4)) (/.f64 1/16 (pow.f64 N 8))))) (*.f64 (pow.f64 N 4) (-.f64 (*.f64 (pow.f64 N -2) 1/2) (*.f64 1/4 (pow.f64 N -4)))))
(/.f64 (-.f64 (*.f64 (+.f64 (pow.f64 N -3) (*.f64 (pow.f64 (pow.f64 N -3) 3) 1/27)) (pow.f64 N 6)) (*.f64 (+.f64 (pow.f64 N -2) (-.f64 (/.f64 1/9 (pow.f64 N 6)) (/.f64 1/3 (pow.f64 N 4)))) (fma.f64 1/2 (pow.f64 N 4) (*.f64 (pow.f64 N 2) 1/4)))) (*.f64 (+.f64 (pow.f64 N -2) (-.f64 (/.f64 1/9 (pow.f64 N 6)) (/.f64 1/3 (pow.f64 N 4)))) (pow.f64 N 6)))
(/.f64 (-.f64 (*.f64 (+.f64 (pow.f64 N -3) (*.f64 (pow.f64 (pow.f64 N -3) 3) 1/27)) (+.f64 (*.f64 1/4 (pow.f64 N -4)) (-.f64 (/.f64 1/16 (pow.f64 N 8)) (*.f64 (pow.f64 N -6) 1/8)))) (*.f64 (+.f64 (pow.f64 N -2) (-.f64 (/.f64 1/9 (pow.f64 N 6)) (/.f64 1/3 (pow.f64 N 4)))) (+.f64 (*.f64 (pow.f64 N -6) 1/8) (/.f64 1/64 (pow.f64 (pow.f64 N 4) 3))))) (*.f64 (+.f64 (pow.f64 N -2) (-.f64 (/.f64 1/9 (pow.f64 N 6)) (/.f64 1/3 (pow.f64 N 4)))) (+.f64 (*.f64 1/4 (pow.f64 N -4)) (-.f64 (/.f64 1/16 (pow.f64 N 8)) (*.f64 (pow.f64 N -6) 1/8)))))
(/.f64 (-.f64 (*.f64 (+.f64 (pow.f64 N -3) (*.f64 (pow.f64 (pow.f64 N -3) 3) 1/27)) (-.f64 (*.f64 (pow.f64 N -2) 1/2) (*.f64 1/4 (pow.f64 N -4)))) (*.f64 (+.f64 (pow.f64 N -2) (-.f64 (/.f64 1/9 (pow.f64 N 6)) (/.f64 1/3 (pow.f64 N 4)))) (-.f64 (*.f64 1/4 (pow.f64 N -4)) (/.f64 1/16 (pow.f64 N 8))))) (*.f64 (+.f64 (pow.f64 N -2) (-.f64 (/.f64 1/9 (pow.f64 N 6)) (/.f64 1/3 (pow.f64 N 4)))) (-.f64 (*.f64 (pow.f64 N -2) 1/2) (*.f64 1/4 (pow.f64 N -4)))))
(/.f64 (-.f64 (*.f64 (-.f64 (pow.f64 N -2) (/.f64 1/9 (pow.f64 N 6))) (pow.f64 N 6)) (*.f64 (-.f64 (/.f64 1 N) (*.f64 1/3 (pow.f64 N -3))) (fma.f64 1/2 (pow.f64 N 4) (*.f64 (pow.f64 N 2) 1/4)))) (*.f64 (-.f64 (/.f64 1 N) (*.f64 1/3 (pow.f64 N -3))) (pow.f64 N 6)))
(/.f64 (-.f64 (*.f64 (-.f64 (pow.f64 N -2) (/.f64 1/9 (pow.f64 N 6))) (+.f64 (*.f64 1/4 (pow.f64 N -4)) (-.f64 (/.f64 1/16 (pow.f64 N 8)) (*.f64 (pow.f64 N -6) 1/8)))) (*.f64 (-.f64 (/.f64 1 N) (*.f64 1/3 (pow.f64 N -3))) (+.f64 (*.f64 (pow.f64 N -6) 1/8) (/.f64 1/64 (pow.f64 (pow.f64 N 4) 3))))) (*.f64 (-.f64 (/.f64 1 N) (*.f64 1/3 (pow.f64 N -3))) (+.f64 (*.f64 1/4 (pow.f64 N -4)) (-.f64 (/.f64 1/16 (pow.f64 N 8)) (*.f64 (pow.f64 N -6) 1/8)))))
(/.f64 (-.f64 (*.f64 (-.f64 (pow.f64 N -2) (/.f64 1/9 (pow.f64 N 6))) (-.f64 (*.f64 (pow.f64 N -2) 1/2) (*.f64 1/4 (pow.f64 N -4)))) (*.f64 (-.f64 (/.f64 1 N) (*.f64 1/3 (pow.f64 N -3))) (-.f64 (*.f64 1/4 (pow.f64 N -4)) (/.f64 1/16 (pow.f64 N 8))))) (*.f64 (-.f64 (/.f64 1 N) (*.f64 1/3 (pow.f64 N -3))) (-.f64 (*.f64 (pow.f64 N -2) 1/2) (*.f64 1/4 (pow.f64 N -4)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (fma.f64 1/3 (pow.f64 N -3) (/.f64 1 N)) 3) (pow.f64 (fma.f64 1/2 (pow.f64 N -2) (*.f64 1/4 (pow.f64 N -4))) 3))) (neg.f64 (+.f64 (pow.f64 (fma.f64 1/3 (pow.f64 N -3) (/.f64 1 N)) 2) (+.f64 (pow.f64 (fma.f64 1/2 (pow.f64 N -2) (*.f64 1/4 (pow.f64 N -4))) 2) (*.f64 (fma.f64 1/3 (pow.f64 N -3) (/.f64 1 N)) (fma.f64 1/2 (pow.f64 N -2) (*.f64 1/4 (pow.f64 N -4))))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (fma.f64 1/3 (pow.f64 N -3) (/.f64 1 N)) 2) (pow.f64 (fma.f64 1/2 (pow.f64 N -2) (*.f64 1/4 (pow.f64 N -4))) 2))) (neg.f64 (+.f64 (fma.f64 1/3 (pow.f64 N -3) (/.f64 1 N)) (fma.f64 1/2 (pow.f64 N -2) (*.f64 1/4 (pow.f64 N -4))))))
(/.f64 (+.f64 (pow.f64 N -3) (pow.f64 (-.f64 (*.f64 1/3 (pow.f64 N -3)) (fma.f64 1/2 (pow.f64 N -2) (*.f64 1/4 (pow.f64 N -4)))) 3)) (+.f64 (pow.f64 N -2) (-.f64 (*.f64 (-.f64 (*.f64 1/3 (pow.f64 N -3)) (fma.f64 1/2 (pow.f64 N -2) (*.f64 1/4 (pow.f64 N -4)))) (-.f64 (*.f64 1/3 (pow.f64 N -3)) (fma.f64 1/2 (pow.f64 N -2) (*.f64 1/4 (pow.f64 N -4))))) (*.f64 (/.f64 1 N) (-.f64 (*.f64 1/3 (pow.f64 N -3)) (fma.f64 1/2 (pow.f64 N -2) (*.f64 1/4 (pow.f64 N -4))))))))
(/.f64 (+.f64 (pow.f64 (fma.f64 1/3 (pow.f64 N -3) (/.f64 1 N)) 3) (pow.f64 (neg.f64 (fma.f64 1/2 (pow.f64 N -2) (*.f64 1/4 (pow.f64 N -4)))) 3)) (+.f64 (pow.f64 (fma.f64 1/3 (pow.f64 N -3) (/.f64 1 N)) 2) (-.f64 (*.f64 (neg.f64 (fma.f64 1/2 (pow.f64 N -2) (*.f64 1/4 (pow.f64 N -4)))) (neg.f64 (fma.f64 1/2 (pow.f64 N -2) (*.f64 1/4 (pow.f64 N -4))))) (*.f64 (fma.f64 1/3 (pow.f64 N -3) (/.f64 1 N)) (neg.f64 (fma.f64 1/2 (pow.f64 N -2) (*.f64 1/4 (pow.f64 N -4))))))))
(/.f64 (-.f64 (pow.f64 (-.f64 (fma.f64 1/3 (pow.f64 N -3) (/.f64 1 N)) (*.f64 (pow.f64 N -2) 1/2)) 3) (/.f64 1/64 (pow.f64 (pow.f64 N 4) 3))) (+.f64 (pow.f64 (-.f64 (fma.f64 1/3 (pow.f64 N -3) (/.f64 1 N)) (*.f64 (pow.f64 N -2) 1/2)) 2) (+.f64 (/.f64 1/16 (pow.f64 N 8)) (*.f64 (-.f64 (fma.f64 1/3 (pow.f64 N -3) (/.f64 1 N)) (*.f64 (pow.f64 N -2) 1/2)) (*.f64 1/4 (pow.f64 N -4))))))
(pow.f64 (-.f64 (fma.f64 1/3 (pow.f64 N -3) (/.f64 1 N)) (fma.f64 1/2 (pow.f64 N -2) (*.f64 1/4 (pow.f64 N -4)))) 1)
(pow.f64 (cbrt.f64 (-.f64 (fma.f64 1/3 (pow.f64 N -3) (/.f64 1 N)) (fma.f64 1/2 (pow.f64 N -2) (*.f64 1/4 (pow.f64 N -4))))) 3)
(pow.f64 (pow.f64 (-.f64 (fma.f64 1/3 (pow.f64 N -3) (/.f64 1 N)) (fma.f64 1/2 (pow.f64 N -2) (*.f64 1/4 (pow.f64 N -4)))) 3) 1/3)
(pow.f64 (sqrt.f64 (-.f64 (fma.f64 1/3 (pow.f64 N -3) (/.f64 1 N)) (fma.f64 1/2 (pow.f64 N -2) (*.f64 1/4 (pow.f64 N -4))))) 2)
(sqrt.f64 (pow.f64 (-.f64 (fma.f64 1/3 (pow.f64 N -3) (/.f64 1 N)) (fma.f64 1/2 (pow.f64 N -2) (*.f64 1/4 (pow.f64 N -4)))) 2))
(log.f64 (exp.f64 (-.f64 (fma.f64 1/3 (pow.f64 N -3) (/.f64 1 N)) (fma.f64 1/2 (pow.f64 N -2) (*.f64 1/4 (pow.f64 N -4))))))
(log.f64 (+.f64 1 (expm1.f64 (-.f64 (fma.f64 1/3 (pow.f64 N -3) (/.f64 1 N)) (fma.f64 1/2 (pow.f64 N -2) (*.f64 1/4 (pow.f64 N -4)))))))
(cbrt.f64 (pow.f64 (-.f64 (fma.f64 1/3 (pow.f64 N -3) (/.f64 1 N)) (fma.f64 1/2 (pow.f64 N -2) (*.f64 1/4 (pow.f64 N -4)))) 3))
(expm1.f64 (log1p.f64 (-.f64 (fma.f64 1/3 (pow.f64 N -3) (/.f64 1 N)) (fma.f64 1/2 (pow.f64 N -2) (*.f64 1/4 (pow.f64 N -4))))))
(log1p.f64 (expm1.f64 (-.f64 (fma.f64 1/3 (pow.f64 N -3) (/.f64 1 N)) (fma.f64 1/2 (pow.f64 N -2) (*.f64 1/4 (pow.f64 N -4))))))
(exp.f64 (log.f64 (-.f64 (fma.f64 1/3 (pow.f64 N -3) (/.f64 1 N)) (fma.f64 1/2 (pow.f64 N -2) (*.f64 1/4 (pow.f64 N -4))))))
(exp.f64 (*.f64 (log.f64 (-.f64 (fma.f64 1/3 (pow.f64 N -3) (/.f64 1 N)) (fma.f64 1/2 (pow.f64 N -2) (*.f64 1/4 (pow.f64 N -4))))) 1))
(fma.f64 1 (/.f64 1 N) (-.f64 (*.f64 1/3 (pow.f64 N -3)) (fma.f64 1/2 (pow.f64 N -2) (*.f64 1/4 (pow.f64 N -4)))))
(fma.f64 1 (fma.f64 1/3 (pow.f64 N -3) (/.f64 1 N)) (neg.f64 (fma.f64 1/2 (pow.f64 N -2) (*.f64 1/4 (pow.f64 N -4)))))
(fma.f64 (cbrt.f64 (pow.f64 N -2)) (/.f64 1 (cbrt.f64 N)) (-.f64 (*.f64 1/3 (pow.f64 N -3)) (fma.f64 1/2 (pow.f64 N -2) (*.f64 1/4 (pow.f64 N -4)))))
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 1/3 (pow.f64 N -3) (/.f64 1 N))) 2) (cbrt.f64 (fma.f64 1/3 (pow.f64 N -3) (/.f64 1 N))) (neg.f64 (fma.f64 1/2 (pow.f64 N -2) (*.f64 1/4 (pow.f64 N -4)))))
(fma.f64 (pow.f64 N -1/2) (pow.f64 N -1/2) (-.f64 (*.f64 1/3 (pow.f64 N -3)) (fma.f64 1/2 (pow.f64 N -2) (*.f64 1/4 (pow.f64 N -4)))))
(fma.f64 (sqrt.f64 (fma.f64 1/3 (pow.f64 N -3) (/.f64 1 N))) (sqrt.f64 (fma.f64 1/3 (pow.f64 N -3) (/.f64 1 N))) (neg.f64 (fma.f64 1/2 (pow.f64 N -2) (*.f64 1/4 (pow.f64 N -4)))))

simplify192.0ms (2.6%)

Algorithm
egg-herbie
Rules
1016×fma-define
898×associate-/r*
556×distribute-rgt-in
532×distribute-lft-in
460×times-frac
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
093621902
1273820673
Stop Event
node limit
Counts
349 → 464
Calls
Call 1
Inputs
(*.f64 -1 (*.f64 (pow.f64 1 1/3) (log.f64 N)))
(+.f64 (*.f64 -1 (*.f64 (pow.f64 1 1/3) (log.f64 N))) (*.f64 N (+.f64 (*.f64 1/3 (*.f64 (pow.f64 (*.f64 (pow.f64 1 4) (pow.f64 (log.f64 N) 4)) 1/9) (pow.f64 (pow.f64 (cbrt.f64 -1) 4) 1/3))) (*.f64 2/3 (*.f64 (pow.f64 (*.f64 (pow.f64 1 4) (pow.f64 (log.f64 N) 4)) 1/9) (pow.f64 (pow.f64 (cbrt.f64 -1) 4) 1/3))))))
(+.f64 (*.f64 -1 (*.f64 (pow.f64 1 1/3) (log.f64 N))) (+.f64 (*.f64 N (+.f64 (*.f64 1/3 (*.f64 (pow.f64 (*.f64 (pow.f64 1 4) (pow.f64 (log.f64 N) 4)) 1/9) (pow.f64 (pow.f64 (cbrt.f64 -1) 4) 1/3))) (*.f64 2/3 (*.f64 (pow.f64 (*.f64 (pow.f64 1 4) (pow.f64 (log.f64 N) 4)) 1/9) (pow.f64 (pow.f64 (cbrt.f64 -1) 4) 1/3))))) (*.f64 (pow.f64 N 2) (+.f64 (*.f64 -1/3 (*.f64 (pow.f64 1 1/3) (+.f64 1/2 (*.f64 1/3 (*.f64 (pow.f64 (/.f64 (pow.f64 1 4) (log.f64 N)) 1/9) (pow.f64 (/.f64 1 (cbrt.f64 -1)) 1/3)))))) (+.f64 (*.f64 2/9 (*.f64 (pow.f64 (/.f64 (pow.f64 1 4) (log.f64 N)) 1/9) (pow.f64 (/.f64 1 (cbrt.f64 -1)) 1/3))) (*.f64 (pow.f64 (*.f64 1 (log.f64 N)) 1/3) (*.f64 (cbrt.f64 -1) (+.f64 (*.f64 -2/3 (*.f64 (pow.f64 (/.f64 1 (log.f64 N)) 1/3) (/.f64 (+.f64 1/2 (*.f64 1/3 (*.f64 (pow.f64 (/.f64 (pow.f64 1 4) (log.f64 N)) 1/9) (pow.f64 (/.f64 1 (cbrt.f64 -1)) 1/3)))) (cbrt.f64 -1)))) (*.f64 1/9 (*.f64 (pow.f64 (/.f64 (pow.f64 1 4) (pow.f64 (log.f64 N) 4)) 1/9) (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 4)) 1/3)))))))))))
(+.f64 (*.f64 -1 (*.f64 (pow.f64 1 1/3) (log.f64 N))) (+.f64 (*.f64 N (+.f64 (*.f64 1/3 (*.f64 (pow.f64 (*.f64 (pow.f64 1 4) (pow.f64 (log.f64 N) 4)) 1/9) (pow.f64 (pow.f64 (cbrt.f64 -1) 4) 1/3))) (*.f64 2/3 (*.f64 (pow.f64 (*.f64 (pow.f64 1 4) (pow.f64 (log.f64 N) 4)) 1/9) (pow.f64 (pow.f64 (cbrt.f64 -1) 4) 1/3))))) (+.f64 (*.f64 (pow.f64 N 2) (+.f64 (*.f64 -1/3 (*.f64 (pow.f64 1 1/3) (+.f64 1/2 (*.f64 1/3 (*.f64 (pow.f64 (/.f64 (pow.f64 1 4) (log.f64 N)) 1/9) (pow.f64 (/.f64 1 (cbrt.f64 -1)) 1/3)))))) (+.f64 (*.f64 2/9 (*.f64 (pow.f64 (/.f64 (pow.f64 1 4) (log.f64 N)) 1/9) (pow.f64 (/.f64 1 (cbrt.f64 -1)) 1/3))) (*.f64 (pow.f64 (*.f64 1 (log.f64 N)) 1/3) (*.f64 (cbrt.f64 -1) (+.f64 (*.f64 -2/3 (*.f64 (pow.f64 (/.f64 1 (log.f64 N)) 1/3) (/.f64 (+.f64 1/2 (*.f64 1/3 (*.f64 (pow.f64 (/.f64 (pow.f64 1 4) (log.f64 N)) 1/9) (pow.f64 (/.f64 1 (cbrt.f64 -1)) 1/3)))) (cbrt.f64 -1)))) (*.f64 1/9 (*.f64 (pow.f64 (/.f64 (pow.f64 1 4) (pow.f64 (log.f64 N) 4)) 1/9) (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 4)) 1/3))))))))) (*.f64 (pow.f64 N 3) (+.f64 (*.f64 -2/9 (*.f64 (pow.f64 (/.f64 (pow.f64 1 4) (pow.f64 (log.f64 N) 5)) 1/9) (*.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 5)) 1/3) (+.f64 1/2 (*.f64 1/3 (*.f64 (pow.f64 (/.f64 (pow.f64 1 4) (log.f64 N)) 1/9) (pow.f64 (/.f64 1 (cbrt.f64 -1)) 1/3))))))) (+.f64 (*.f64 1/3 (*.f64 (pow.f64 1 1/3) (-.f64 1/3 (+.f64 (*.f64 -2/3 (*.f64 (pow.f64 (/.f64 (pow.f64 1 4) (pow.f64 (log.f64 N) 5)) 1/9) (*.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 5)) 1/3) (+.f64 1/2 (*.f64 1/3 (*.f64 (pow.f64 (/.f64 (pow.f64 1 4) (log.f64 N)) 1/9) (pow.f64 (/.f64 1 (cbrt.f64 -1)) 1/3))))))) (*.f64 1/27 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 N) 2)) 1/3) (/.f64 1 (pow.f64 (cbrt.f64 -1) 2)))))))) (+.f64 (*.f64 1/3 (*.f64 (pow.f64 (/.f64 (pow.f64 1 4) (pow.f64 (log.f64 N) 2)) 1/9) (*.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 2)) 1/3) (+.f64 (*.f64 -2/3 (*.f64 (pow.f64 (/.f64 1 (log.f64 N)) 1/3) (/.f64 (+.f64 1/2 (*.f64 1/3 (*.f64 (pow.f64 (/.f64 (pow.f64 1 4) (log.f64 N)) 1/9) (pow.f64 (/.f64 1 (cbrt.f64 -1)) 1/3)))) (cbrt.f64 -1)))) (*.f64 1/9 (*.f64 (pow.f64 (/.f64 (pow.f64 1 4) (pow.f64 (log.f64 N) 4)) 1/9) (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 4)) 1/3))))))) (*.f64 (pow.f64 (*.f64 1 (log.f64 N)) 1/3) (*.f64 (cbrt.f64 -1) (+.f64 (*.f64 -2/9 (*.f64 (pow.f64 (/.f64 (pow.f64 1 4) (pow.f64 (log.f64 N) 8)) 1/9) (*.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 8)) 1/3) (+.f64 1/2 (*.f64 1/3 (*.f64 (pow.f64 (/.f64 (pow.f64 1 4) (log.f64 N)) 1/9) (pow.f64 (/.f64 1 (cbrt.f64 -1)) 1/3))))))) (*.f64 2/3 (*.f64 (pow.f64 (/.f64 1 (log.f64 N)) 1/3) (/.f64 (-.f64 1/3 (+.f64 (*.f64 -2/3 (*.f64 (pow.f64 (/.f64 (pow.f64 1 4) (pow.f64 (log.f64 N) 5)) 1/9) (*.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 5)) 1/3) (+.f64 1/2 (*.f64 1/3 (*.f64 (pow.f64 (/.f64 (pow.f64 1 4) (log.f64 N)) 1/9) (pow.f64 (/.f64 1 (cbrt.f64 -1)) 1/3))))))) (*.f64 1/27 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 N) 2)) 1/3) (/.f64 1 (pow.f64 (cbrt.f64 -1) 2)))))) (cbrt.f64 -1))))))))))))))
(*.f64 (pow.f64 (*.f64 1 (log.f64 N)) 1/3) (cbrt.f64 -1))
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(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 1/3 (pow.f64 N -3) (/.f64 1 N))) 2) (cbrt.f64 (fma.f64 1/3 (pow.f64 N -3) (/.f64 1 N))) (neg.f64 (fma.f64 1/2 (pow.f64 N -2) (*.f64 1/4 (pow.f64 N -4)))))
(fma.f64 (pow.f64 N -1/2) (pow.f64 N -1/2) (-.f64 (*.f64 1/3 (pow.f64 N -3)) (fma.f64 1/2 (pow.f64 N -2) (*.f64 1/4 (pow.f64 N -4)))))
(fma.f64 (sqrt.f64 (fma.f64 1/3 (pow.f64 N -3) (/.f64 1 N))) (sqrt.f64 (fma.f64 1/3 (pow.f64 N -3) (/.f64 1 N))) (neg.f64 (fma.f64 1/2 (pow.f64 N -2) (*.f64 1/4 (pow.f64 N -4)))))
Outputs
(*.f64 -1 (*.f64 (pow.f64 1 1/3) (log.f64 N)))
(neg.f64 (log.f64 N))
(+.f64 (*.f64 -1 (*.f64 (pow.f64 1 1/3) (log.f64 N))) (*.f64 N (+.f64 (*.f64 1/3 (*.f64 (pow.f64 (*.f64 (pow.f64 1 4) (pow.f64 (log.f64 N) 4)) 1/9) (pow.f64 (pow.f64 (cbrt.f64 -1) 4) 1/3))) (*.f64 2/3 (*.f64 (pow.f64 (*.f64 (pow.f64 1 4) (pow.f64 (log.f64 N) 4)) 1/9) (pow.f64 (pow.f64 (cbrt.f64 -1) 4) 1/3))))))
(fma.f64 -1 (log.f64 N) (*.f64 N (*.f64 (*.f64 (*.f64 (pow.f64 (pow.f64 (log.f64 N) 4) 1/18) (pow.f64 (pow.f64 (log.f64 N) 4) 1/18)) (cbrt.f64 (pow.f64 (cbrt.f64 -1) 4))) 1)))
(-.f64 (*.f64 N (*.f64 (*.f64 (pow.f64 (pow.f64 (log.f64 N) 4) 1/18) (pow.f64 (pow.f64 (log.f64 N) 4) 1/18)) (cbrt.f64 (pow.f64 (cbrt.f64 -1) 4)))) (log.f64 N))
(+.f64 (*.f64 -1 (*.f64 (pow.f64 1 1/3) (log.f64 N))) (+.f64 (*.f64 N (+.f64 (*.f64 1/3 (*.f64 (pow.f64 (*.f64 (pow.f64 1 4) (pow.f64 (log.f64 N) 4)) 1/9) (pow.f64 (pow.f64 (cbrt.f64 -1) 4) 1/3))) (*.f64 2/3 (*.f64 (pow.f64 (*.f64 (pow.f64 1 4) (pow.f64 (log.f64 N) 4)) 1/9) (pow.f64 (pow.f64 (cbrt.f64 -1) 4) 1/3))))) (*.f64 (pow.f64 N 2) (+.f64 (*.f64 -1/3 (*.f64 (pow.f64 1 1/3) (+.f64 1/2 (*.f64 1/3 (*.f64 (pow.f64 (/.f64 (pow.f64 1 4) (log.f64 N)) 1/9) (pow.f64 (/.f64 1 (cbrt.f64 -1)) 1/3)))))) (+.f64 (*.f64 2/9 (*.f64 (pow.f64 (/.f64 (pow.f64 1 4) (log.f64 N)) 1/9) (pow.f64 (/.f64 1 (cbrt.f64 -1)) 1/3))) (*.f64 (pow.f64 (*.f64 1 (log.f64 N)) 1/3) (*.f64 (cbrt.f64 -1) (+.f64 (*.f64 -2/3 (*.f64 (pow.f64 (/.f64 1 (log.f64 N)) 1/3) (/.f64 (+.f64 1/2 (*.f64 1/3 (*.f64 (pow.f64 (/.f64 (pow.f64 1 4) (log.f64 N)) 1/9) (pow.f64 (/.f64 1 (cbrt.f64 -1)) 1/3)))) (cbrt.f64 -1)))) (*.f64 1/9 (*.f64 (pow.f64 (/.f64 (pow.f64 1 4) (pow.f64 (log.f64 N) 4)) 1/9) (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 4)) 1/3)))))))))))
(fma.f64 -1 (log.f64 N) (fma.f64 N (*.f64 (*.f64 (*.f64 (pow.f64 (pow.f64 (log.f64 N) 4) 1/18) (pow.f64 (pow.f64 (log.f64 N) 4) 1/18)) (cbrt.f64 (pow.f64 (cbrt.f64 -1) 4))) 1) (*.f64 (pow.f64 N 2) (+.f64 (*.f64 -1/3 (+.f64 1/2 (*.f64 (*.f64 1/3 (*.f64 (pow.f64 (/.f64 1 (log.f64 N)) 1/18) (pow.f64 (/.f64 1 (log.f64 N)) 1/18))) (cbrt.f64 (/.f64 1 (cbrt.f64 -1)))))) (fma.f64 2/9 (*.f64 (*.f64 (pow.f64 (/.f64 1 (log.f64 N)) 1/18) (pow.f64 (/.f64 1 (log.f64 N)) 1/18)) (cbrt.f64 (/.f64 1 (cbrt.f64 -1)))) (*.f64 (cbrt.f64 (log.f64 N)) (*.f64 (cbrt.f64 -1) (fma.f64 -2/3 (*.f64 (cbrt.f64 (/.f64 1 (log.f64 N))) (/.f64 (+.f64 1/2 (*.f64 (*.f64 1/3 (*.f64 (pow.f64 (/.f64 1 (log.f64 N)) 1/18) (pow.f64 (/.f64 1 (log.f64 N)) 1/18))) (cbrt.f64 (/.f64 1 (cbrt.f64 -1))))) (cbrt.f64 -1))) (*.f64 1/9 (*.f64 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 N) 4)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (log.f64 N) 4)) 1/18)) (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 4)))))))))))))
(-.f64 (fma.f64 (pow.f64 N 2) (fma.f64 -1/3 (fma.f64 1/3 (*.f64 (*.f64 (pow.f64 (/.f64 1 (log.f64 N)) 1/18) (pow.f64 (/.f64 1 (log.f64 N)) 1/18)) (cbrt.f64 (/.f64 1 (cbrt.f64 -1)))) 1/2) (fma.f64 (*.f64 (*.f64 (pow.f64 (/.f64 1 (log.f64 N)) 1/18) (pow.f64 (/.f64 1 (log.f64 N)) 1/18)) (cbrt.f64 (/.f64 1 (cbrt.f64 -1)))) 2/9 (*.f64 (*.f64 (cbrt.f64 -1) (cbrt.f64 (log.f64 N))) (fma.f64 1/9 (*.f64 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 N) 4)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (log.f64 N) 4)) 1/18)) (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 4)))) (*.f64 (*.f64 -2/3 (cbrt.f64 (/.f64 1 (log.f64 N)))) (/.f64 (fma.f64 1/3 (*.f64 (*.f64 (pow.f64 (/.f64 1 (log.f64 N)) 1/18) (pow.f64 (/.f64 1 (log.f64 N)) 1/18)) (cbrt.f64 (/.f64 1 (cbrt.f64 -1)))) 1/2) (cbrt.f64 -1))))))) (*.f64 N (*.f64 (*.f64 (pow.f64 (pow.f64 (log.f64 N) 4) 1/18) (pow.f64 (pow.f64 (log.f64 N) 4) 1/18)) (cbrt.f64 (pow.f64 (cbrt.f64 -1) 4))))) (log.f64 N))
(+.f64 (*.f64 -1 (*.f64 (pow.f64 1 1/3) (log.f64 N))) (+.f64 (*.f64 N (+.f64 (*.f64 1/3 (*.f64 (pow.f64 (*.f64 (pow.f64 1 4) (pow.f64 (log.f64 N) 4)) 1/9) (pow.f64 (pow.f64 (cbrt.f64 -1) 4) 1/3))) (*.f64 2/3 (*.f64 (pow.f64 (*.f64 (pow.f64 1 4) (pow.f64 (log.f64 N) 4)) 1/9) (pow.f64 (pow.f64 (cbrt.f64 -1) 4) 1/3))))) (+.f64 (*.f64 (pow.f64 N 2) (+.f64 (*.f64 -1/3 (*.f64 (pow.f64 1 1/3) (+.f64 1/2 (*.f64 1/3 (*.f64 (pow.f64 (/.f64 (pow.f64 1 4) (log.f64 N)) 1/9) (pow.f64 (/.f64 1 (cbrt.f64 -1)) 1/3)))))) (+.f64 (*.f64 2/9 (*.f64 (pow.f64 (/.f64 (pow.f64 1 4) (log.f64 N)) 1/9) (pow.f64 (/.f64 1 (cbrt.f64 -1)) 1/3))) (*.f64 (pow.f64 (*.f64 1 (log.f64 N)) 1/3) (*.f64 (cbrt.f64 -1) (+.f64 (*.f64 -2/3 (*.f64 (pow.f64 (/.f64 1 (log.f64 N)) 1/3) (/.f64 (+.f64 1/2 (*.f64 1/3 (*.f64 (pow.f64 (/.f64 (pow.f64 1 4) (log.f64 N)) 1/9) (pow.f64 (/.f64 1 (cbrt.f64 -1)) 1/3)))) (cbrt.f64 -1)))) (*.f64 1/9 (*.f64 (pow.f64 (/.f64 (pow.f64 1 4) (pow.f64 (log.f64 N) 4)) 1/9) (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 4)) 1/3))))))))) (*.f64 (pow.f64 N 3) (+.f64 (*.f64 -2/9 (*.f64 (pow.f64 (/.f64 (pow.f64 1 4) (pow.f64 (log.f64 N) 5)) 1/9) (*.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 5)) 1/3) (+.f64 1/2 (*.f64 1/3 (*.f64 (pow.f64 (/.f64 (pow.f64 1 4) (log.f64 N)) 1/9) (pow.f64 (/.f64 1 (cbrt.f64 -1)) 1/3))))))) (+.f64 (*.f64 1/3 (*.f64 (pow.f64 1 1/3) (-.f64 1/3 (+.f64 (*.f64 -2/3 (*.f64 (pow.f64 (/.f64 (pow.f64 1 4) (pow.f64 (log.f64 N) 5)) 1/9) (*.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 5)) 1/3) (+.f64 1/2 (*.f64 1/3 (*.f64 (pow.f64 (/.f64 (pow.f64 1 4) (log.f64 N)) 1/9) (pow.f64 (/.f64 1 (cbrt.f64 -1)) 1/3))))))) (*.f64 1/27 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 N) 2)) 1/3) (/.f64 1 (pow.f64 (cbrt.f64 -1) 2)))))))) (+.f64 (*.f64 1/3 (*.f64 (pow.f64 (/.f64 (pow.f64 1 4) (pow.f64 (log.f64 N) 2)) 1/9) (*.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 2)) 1/3) (+.f64 (*.f64 -2/3 (*.f64 (pow.f64 (/.f64 1 (log.f64 N)) 1/3) (/.f64 (+.f64 1/2 (*.f64 1/3 (*.f64 (pow.f64 (/.f64 (pow.f64 1 4) (log.f64 N)) 1/9) (pow.f64 (/.f64 1 (cbrt.f64 -1)) 1/3)))) (cbrt.f64 -1)))) (*.f64 1/9 (*.f64 (pow.f64 (/.f64 (pow.f64 1 4) (pow.f64 (log.f64 N) 4)) 1/9) (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 4)) 1/3))))))) (*.f64 (pow.f64 (*.f64 1 (log.f64 N)) 1/3) (*.f64 (cbrt.f64 -1) (+.f64 (*.f64 -2/9 (*.f64 (pow.f64 (/.f64 (pow.f64 1 4) (pow.f64 (log.f64 N) 8)) 1/9) (*.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 8)) 1/3) (+.f64 1/2 (*.f64 1/3 (*.f64 (pow.f64 (/.f64 (pow.f64 1 4) (log.f64 N)) 1/9) (pow.f64 (/.f64 1 (cbrt.f64 -1)) 1/3))))))) (*.f64 2/3 (*.f64 (pow.f64 (/.f64 1 (log.f64 N)) 1/3) (/.f64 (-.f64 1/3 (+.f64 (*.f64 -2/3 (*.f64 (pow.f64 (/.f64 (pow.f64 1 4) (pow.f64 (log.f64 N) 5)) 1/9) (*.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 5)) 1/3) (+.f64 1/2 (*.f64 1/3 (*.f64 (pow.f64 (/.f64 (pow.f64 1 4) (log.f64 N)) 1/9) (pow.f64 (/.f64 1 (cbrt.f64 -1)) 1/3))))))) (*.f64 1/27 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 N) 2)) 1/3) (/.f64 1 (pow.f64 (cbrt.f64 -1) 2)))))) (cbrt.f64 -1))))))))))))))
(fma.f64 -1 (log.f64 N) (fma.f64 N (*.f64 (*.f64 (*.f64 (pow.f64 (pow.f64 (log.f64 N) 4) 1/18) (pow.f64 (pow.f64 (log.f64 N) 4) 1/18)) (cbrt.f64 (pow.f64 (cbrt.f64 -1) 4))) 1) (fma.f64 (pow.f64 N 2) (+.f64 (*.f64 -1/3 (+.f64 1/2 (*.f64 (*.f64 1/3 (*.f64 (pow.f64 (/.f64 1 (log.f64 N)) 1/18) (pow.f64 (/.f64 1 (log.f64 N)) 1/18))) (cbrt.f64 (/.f64 1 (cbrt.f64 -1)))))) (fma.f64 2/9 (*.f64 (*.f64 (pow.f64 (/.f64 1 (log.f64 N)) 1/18) (pow.f64 (/.f64 1 (log.f64 N)) 1/18)) (cbrt.f64 (/.f64 1 (cbrt.f64 -1)))) (*.f64 (cbrt.f64 (log.f64 N)) (*.f64 (cbrt.f64 -1) (fma.f64 -2/3 (*.f64 (cbrt.f64 (/.f64 1 (log.f64 N))) (/.f64 (+.f64 1/2 (*.f64 (*.f64 1/3 (*.f64 (pow.f64 (/.f64 1 (log.f64 N)) 1/18) (pow.f64 (/.f64 1 (log.f64 N)) 1/18))) (cbrt.f64 (/.f64 1 (cbrt.f64 -1))))) (cbrt.f64 -1))) (*.f64 1/9 (*.f64 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 N) 4)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (log.f64 N) 4)) 1/18)) (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 4)))))))))) (*.f64 (pow.f64 N 3) (fma.f64 -2/9 (*.f64 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 N) 5)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (log.f64 N) 5)) 1/18)) (*.f64 (+.f64 1/2 (*.f64 (*.f64 1/3 (*.f64 (pow.f64 (/.f64 1 (log.f64 N)) 1/18) (pow.f64 (/.f64 1 (log.f64 N)) 1/18))) (cbrt.f64 (/.f64 1 (cbrt.f64 -1))))) (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 5))))) (+.f64 (*.f64 1/3 (-.f64 1/3 (fma.f64 -2/3 (*.f64 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 N) 5)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (log.f64 N) 5)) 1/18)) (*.f64 (+.f64 1/2 (*.f64 (*.f64 1/3 (*.f64 (pow.f64 (/.f64 1 (log.f64 N)) 1/18) (pow.f64 (/.f64 1 (log.f64 N)) 1/18))) (cbrt.f64 (/.f64 1 (cbrt.f64 -1))))) (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 5))))) (*.f64 1/27 (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 (log.f64 N) 2))) (/.f64 1 (pow.f64 (cbrt.f64 -1) 2))))))) (fma.f64 1/3 (*.f64 (*.f64 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 N) 2)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (log.f64 N) 2)) 1/18)) (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 2)))) (fma.f64 -2/3 (*.f64 (cbrt.f64 (/.f64 1 (log.f64 N))) (/.f64 (+.f64 1/2 (*.f64 (*.f64 1/3 (*.f64 (pow.f64 (/.f64 1 (log.f64 N)) 1/18) (pow.f64 (/.f64 1 (log.f64 N)) 1/18))) (cbrt.f64 (/.f64 1 (cbrt.f64 -1))))) (cbrt.f64 -1))) (*.f64 1/9 (*.f64 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 N) 4)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (log.f64 N) 4)) 1/18)) (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 4))))))) (*.f64 (cbrt.f64 (log.f64 N)) (*.f64 (cbrt.f64 -1) (fma.f64 -2/9 (*.f64 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 N) 8)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (log.f64 N) 8)) 1/18)) (*.f64 (+.f64 1/2 (*.f64 (*.f64 1/3 (*.f64 (pow.f64 (/.f64 1 (log.f64 N)) 1/18) (pow.f64 (/.f64 1 (log.f64 N)) 1/18))) (cbrt.f64 (/.f64 1 (cbrt.f64 -1))))) (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 8))))) (*.f64 2/3 (*.f64 (cbrt.f64 (/.f64 1 (log.f64 N))) (/.f64 (-.f64 1/3 (fma.f64 -2/3 (*.f64 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 N) 5)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (log.f64 N) 5)) 1/18)) (*.f64 (+.f64 1/2 (*.f64 (*.f64 1/3 (*.f64 (pow.f64 (/.f64 1 (log.f64 N)) 1/18) (pow.f64 (/.f64 1 (log.f64 N)) 1/18))) (cbrt.f64 (/.f64 1 (cbrt.f64 -1))))) (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 5))))) (*.f64 1/27 (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 (log.f64 N) 2))) (/.f64 1 (pow.f64 (cbrt.f64 -1) 2)))))) (cbrt.f64 -1))))))))))))))
(-.f64 (fma.f64 N (*.f64 (*.f64 (pow.f64 (pow.f64 (log.f64 N) 4) 1/18) (pow.f64 (pow.f64 (log.f64 N) 4) 1/18)) (cbrt.f64 (pow.f64 (cbrt.f64 -1) 4))) (fma.f64 (pow.f64 N 3) (fma.f64 -2/9 (*.f64 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 N) 5)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (log.f64 N) 5)) 1/18)) (*.f64 (fma.f64 1/3 (*.f64 (*.f64 (pow.f64 (/.f64 1 (log.f64 N)) 1/18) (pow.f64 (/.f64 1 (log.f64 N)) 1/18)) (cbrt.f64 (/.f64 1 (cbrt.f64 -1)))) 1/2) (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 5))))) (fma.f64 1/3 (-.f64 1/3 (fma.f64 -2/3 (*.f64 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 N) 5)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (log.f64 N) 5)) 1/18)) (*.f64 (fma.f64 1/3 (*.f64 (*.f64 (pow.f64 (/.f64 1 (log.f64 N)) 1/18) (pow.f64 (/.f64 1 (log.f64 N)) 1/18)) (cbrt.f64 (/.f64 1 (cbrt.f64 -1)))) 1/2) (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 5))))) (/.f64 (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 (log.f64 N) 2))) 1/27) (pow.f64 (cbrt.f64 -1) 2)))) (fma.f64 1/3 (*.f64 (*.f64 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 N) 2)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (log.f64 N) 2)) 1/18)) (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 2)))) (fma.f64 1/9 (*.f64 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 N) 4)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (log.f64 N) 4)) 1/18)) (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 4)))) (*.f64 (*.f64 -2/3 (cbrt.f64 (/.f64 1 (log.f64 N)))) (/.f64 (fma.f64 1/3 (*.f64 (*.f64 (pow.f64 (/.f64 1 (log.f64 N)) 1/18) (pow.f64 (/.f64 1 (log.f64 N)) 1/18)) (cbrt.f64 (/.f64 1 (cbrt.f64 -1)))) 1/2) (cbrt.f64 -1))))) (*.f64 (*.f64 (cbrt.f64 -1) (cbrt.f64 (log.f64 N))) (fma.f64 2/3 (*.f64 (cbrt.f64 (/.f64 1 (log.f64 N))) (/.f64 (-.f64 1/3 (fma.f64 -2/3 (*.f64 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 N) 5)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (log.f64 N) 5)) 1/18)) (*.f64 (fma.f64 1/3 (*.f64 (*.f64 (pow.f64 (/.f64 1 (log.f64 N)) 1/18) (pow.f64 (/.f64 1 (log.f64 N)) 1/18)) (cbrt.f64 (/.f64 1 (cbrt.f64 -1)))) 1/2) (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 5))))) (/.f64 (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 (log.f64 N) 2))) 1/27) (pow.f64 (cbrt.f64 -1) 2)))) (cbrt.f64 -1))) (*.f64 -2/9 (*.f64 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 N) 8)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (log.f64 N) 8)) 1/18)) (*.f64 (fma.f64 1/3 (*.f64 (*.f64 (pow.f64 (/.f64 1 (log.f64 N)) 1/18) (pow.f64 (/.f64 1 (log.f64 N)) 1/18)) (cbrt.f64 (/.f64 1 (cbrt.f64 -1)))) 1/2) (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 8))))))))))) (*.f64 (pow.f64 N 2) (fma.f64 -1/3 (fma.f64 1/3 (*.f64 (*.f64 (pow.f64 (/.f64 1 (log.f64 N)) 1/18) (pow.f64 (/.f64 1 (log.f64 N)) 1/18)) (cbrt.f64 (/.f64 1 (cbrt.f64 -1)))) 1/2) (fma.f64 (*.f64 (*.f64 (pow.f64 (/.f64 1 (log.f64 N)) 1/18) (pow.f64 (/.f64 1 (log.f64 N)) 1/18)) (cbrt.f64 (/.f64 1 (cbrt.f64 -1)))) 2/9 (*.f64 (*.f64 (cbrt.f64 -1) (cbrt.f64 (log.f64 N))) (fma.f64 1/9 (*.f64 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 N) 4)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (log.f64 N) 4)) 1/18)) (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 4)))) (*.f64 (*.f64 -2/3 (cbrt.f64 (/.f64 1 (log.f64 N)))) (/.f64 (fma.f64 1/3 (*.f64 (*.f64 (pow.f64 (/.f64 1 (log.f64 N)) 1/18) (pow.f64 (/.f64 1 (log.f64 N)) 1/18)) (cbrt.f64 (/.f64 1 (cbrt.f64 -1)))) 1/2) (cbrt.f64 -1)))))))))) (log.f64 N))
(*.f64 (pow.f64 (*.f64 1 (log.f64 N)) 1/3) (cbrt.f64 -1))
(*.f64 (cbrt.f64 -1) (cbrt.f64 (log.f64 N)))
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(/.f64 (fma.f64 (+.f64 (pow.f64 N -2) (/.f64 -1/9 (pow.f64 N 6))) (+.f64 (fma.f64 1/4 (pow.f64 N -4) (/.f64 1/16 (pow.f64 N 8))) (*.f64 (pow.f64 N -6) -1/8)) (*.f64 (-.f64 (/.f64 -1 N) (*.f64 -1/3 (pow.f64 N -3))) (fma.f64 1/8 (pow.f64 N -6) (/.f64 1/64 (pow.f64 (pow.f64 N 4) 3))))) (*.f64 (+.f64 (/.f64 1 N) (*.f64 -1/3 (pow.f64 N -3))) (+.f64 (fma.f64 1/4 (pow.f64 N -4) (/.f64 1/16 (pow.f64 N 8))) (*.f64 (pow.f64 N -6) -1/8))))
(/.f64 (-.f64 (*.f64 (-.f64 (pow.f64 N -2) (/.f64 1/9 (pow.f64 N 6))) (-.f64 (*.f64 (pow.f64 N -2) 1/2) (*.f64 1/4 (pow.f64 N -4)))) (*.f64 (-.f64 (/.f64 1 N) (*.f64 1/3 (pow.f64 N -3))) (-.f64 (*.f64 1/4 (pow.f64 N -4)) (/.f64 1/16 (pow.f64 N 8))))) (*.f64 (-.f64 (/.f64 1 N) (*.f64 1/3 (pow.f64 N -3))) (-.f64 (*.f64 (pow.f64 N -2) 1/2) (*.f64 1/4 (pow.f64 N -4)))))
(/.f64 (-.f64 (*.f64 (-.f64 (pow.f64 N -2) (/.f64 1/9 (pow.f64 N 6))) (-.f64 (*.f64 1/2 (pow.f64 N -2)) (*.f64 1/4 (pow.f64 N -4)))) (*.f64 (+.f64 (/.f64 1 N) (*.f64 -1/3 (pow.f64 N -3))) (-.f64 (*.f64 1/4 (pow.f64 N -4)) (/.f64 1/16 (pow.f64 N 8))))) (*.f64 (+.f64 (/.f64 1 N) (*.f64 -1/3 (pow.f64 N -3))) (-.f64 (*.f64 1/2 (pow.f64 N -2)) (*.f64 1/4 (pow.f64 N -4)))))
(/.f64 (fma.f64 (+.f64 (pow.f64 N -2) (/.f64 -1/9 (pow.f64 N 6))) (fma.f64 1/2 (pow.f64 N -2) (*.f64 -1/4 (pow.f64 N -4))) (*.f64 (-.f64 (/.f64 -1 N) (*.f64 -1/3 (pow.f64 N -3))) (fma.f64 1/4 (pow.f64 N -4) (/.f64 -1/16 (pow.f64 N 8))))) (*.f64 (+.f64 (/.f64 1 N) (*.f64 -1/3 (pow.f64 N -3))) (fma.f64 1/2 (pow.f64 N -2) (*.f64 -1/4 (pow.f64 N -4)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (fma.f64 1/3 (pow.f64 N -3) (/.f64 1 N)) 3) (pow.f64 (fma.f64 1/2 (pow.f64 N -2) (*.f64 1/4 (pow.f64 N -4))) 3))) (neg.f64 (+.f64 (pow.f64 (fma.f64 1/3 (pow.f64 N -3) (/.f64 1 N)) 2) (+.f64 (pow.f64 (fma.f64 1/2 (pow.f64 N -2) (*.f64 1/4 (pow.f64 N -4))) 2) (*.f64 (fma.f64 1/3 (pow.f64 N -3) (/.f64 1 N)) (fma.f64 1/2 (pow.f64 N -2) (*.f64 1/4 (pow.f64 N -4))))))))
(*.f64 1 (/.f64 (-.f64 (pow.f64 (fma.f64 1/3 (pow.f64 N -3) (/.f64 1 N)) 3) (pow.f64 (fma.f64 1/2 (pow.f64 N -2) (*.f64 1/4 (pow.f64 N -4))) 3)) (+.f64 (pow.f64 (fma.f64 1/3 (pow.f64 N -3) (/.f64 1 N)) 2) (*.f64 (fma.f64 1/2 (pow.f64 N -2) (*.f64 1/4 (pow.f64 N -4))) (+.f64 (fma.f64 1/3 (pow.f64 N -3) (/.f64 1 N)) (fma.f64 1/2 (pow.f64 N -2) (*.f64 1/4 (pow.f64 N -4))))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (fma.f64 1/3 (pow.f64 N -3) (/.f64 1 N)) 2) (pow.f64 (fma.f64 1/2 (pow.f64 N -2) (*.f64 1/4 (pow.f64 N -4))) 2))) (neg.f64 (+.f64 (fma.f64 1/3 (pow.f64 N -3) (/.f64 1 N)) (fma.f64 1/2 (pow.f64 N -2) (*.f64 1/4 (pow.f64 N -4))))))
(*.f64 1 (/.f64 (-.f64 (pow.f64 (fma.f64 1/3 (pow.f64 N -3) (/.f64 1 N)) 2) (pow.f64 (fma.f64 1/2 (pow.f64 N -2) (*.f64 1/4 (pow.f64 N -4))) 2)) (+.f64 (fma.f64 1/3 (pow.f64 N -3) (/.f64 1 N)) (fma.f64 1/2 (pow.f64 N -2) (*.f64 1/4 (pow.f64 N -4))))))
(/.f64 (+.f64 (pow.f64 N -3) (pow.f64 (-.f64 (*.f64 1/3 (pow.f64 N -3)) (fma.f64 1/2 (pow.f64 N -2) (*.f64 1/4 (pow.f64 N -4)))) 3)) (+.f64 (pow.f64 N -2) (-.f64 (*.f64 (-.f64 (*.f64 1/3 (pow.f64 N -3)) (fma.f64 1/2 (pow.f64 N -2) (*.f64 1/4 (pow.f64 N -4)))) (-.f64 (*.f64 1/3 (pow.f64 N -3)) (fma.f64 1/2 (pow.f64 N -2) (*.f64 1/4 (pow.f64 N -4))))) (*.f64 (/.f64 1 N) (-.f64 (*.f64 1/3 (pow.f64 N -3)) (fma.f64 1/2 (pow.f64 N -2) (*.f64 1/4 (pow.f64 N -4))))))))
(/.f64 (+.f64 (pow.f64 N -3) (pow.f64 (-.f64 (*.f64 1/3 (pow.f64 N -3)) (fma.f64 1/2 (pow.f64 N -2) (*.f64 1/4 (pow.f64 N -4)))) 3)) (+.f64 (pow.f64 N -2) (*.f64 (-.f64 (*.f64 1/3 (pow.f64 N -3)) (fma.f64 1/2 (pow.f64 N -2) (*.f64 1/4 (pow.f64 N -4)))) (-.f64 (-.f64 (*.f64 1/3 (pow.f64 N -3)) (fma.f64 1/2 (pow.f64 N -2) (*.f64 1/4 (pow.f64 N -4)))) (/.f64 1 N)))))
(/.f64 (+.f64 (pow.f64 N -3) (pow.f64 (-.f64 (*.f64 1/3 (pow.f64 N -3)) (fma.f64 1/2 (pow.f64 N -2) (*.f64 1/4 (pow.f64 N -4)))) 3)) (fma.f64 (-.f64 (*.f64 1/3 (pow.f64 N -3)) (fma.f64 1/2 (pow.f64 N -2) (*.f64 1/4 (pow.f64 N -4)))) (-.f64 (*.f64 1/3 (pow.f64 N -3)) (+.f64 (fma.f64 1/2 (pow.f64 N -2) (*.f64 1/4 (pow.f64 N -4))) (/.f64 1 N))) (pow.f64 N -2)))
(/.f64 (+.f64 (pow.f64 (fma.f64 1/3 (pow.f64 N -3) (/.f64 1 N)) 3) (pow.f64 (neg.f64 (fma.f64 1/2 (pow.f64 N -2) (*.f64 1/4 (pow.f64 N -4)))) 3)) (+.f64 (pow.f64 (fma.f64 1/3 (pow.f64 N -3) (/.f64 1 N)) 2) (-.f64 (*.f64 (neg.f64 (fma.f64 1/2 (pow.f64 N -2) (*.f64 1/4 (pow.f64 N -4)))) (neg.f64 (fma.f64 1/2 (pow.f64 N -2) (*.f64 1/4 (pow.f64 N -4))))) (*.f64 (fma.f64 1/3 (pow.f64 N -3) (/.f64 1 N)) (neg.f64 (fma.f64 1/2 (pow.f64 N -2) (*.f64 1/4 (pow.f64 N -4))))))))
(/.f64 (-.f64 (pow.f64 (fma.f64 1/3 (pow.f64 N -3) (/.f64 1 N)) 3) (pow.f64 (fma.f64 1/2 (pow.f64 N -2) (*.f64 1/4 (pow.f64 N -4))) 3)) (+.f64 (pow.f64 (fma.f64 1/3 (pow.f64 N -3) (/.f64 1 N)) 2) (+.f64 (pow.f64 (fma.f64 1/2 (pow.f64 N -2) (*.f64 1/4 (pow.f64 N -4))) 2) (*.f64 (fma.f64 1/3 (pow.f64 N -3) (/.f64 1 N)) (fma.f64 1/2 (pow.f64 N -2) (*.f64 1/4 (pow.f64 N -4)))))))
(/.f64 (-.f64 (pow.f64 (fma.f64 1/3 (pow.f64 N -3) (/.f64 1 N)) 3) (pow.f64 (fma.f64 1/2 (pow.f64 N -2) (*.f64 1/4 (pow.f64 N -4))) 3)) (+.f64 (pow.f64 (fma.f64 1/3 (pow.f64 N -3) (/.f64 1 N)) 2) (*.f64 (fma.f64 1/2 (pow.f64 N -2) (*.f64 1/4 (pow.f64 N -4))) (+.f64 (fma.f64 1/3 (pow.f64 N -3) (/.f64 1 N)) (fma.f64 1/2 (pow.f64 N -2) (*.f64 1/4 (pow.f64 N -4)))))))
(/.f64 (-.f64 (pow.f64 (-.f64 (fma.f64 1/3 (pow.f64 N -3) (/.f64 1 N)) (*.f64 (pow.f64 N -2) 1/2)) 3) (/.f64 1/64 (pow.f64 (pow.f64 N 4) 3))) (+.f64 (pow.f64 (-.f64 (fma.f64 1/3 (pow.f64 N -3) (/.f64 1 N)) (*.f64 (pow.f64 N -2) 1/2)) 2) (+.f64 (/.f64 1/16 (pow.f64 N 8)) (*.f64 (-.f64 (fma.f64 1/3 (pow.f64 N -3) (/.f64 1 N)) (*.f64 (pow.f64 N -2) 1/2)) (*.f64 1/4 (pow.f64 N -4))))))
(/.f64 (-.f64 (pow.f64 (+.f64 (fma.f64 1/3 (pow.f64 N -3) (/.f64 1 N)) (*.f64 -1/2 (pow.f64 N -2))) 3) (/.f64 1/64 (pow.f64 (pow.f64 N 4) 3))) (+.f64 (pow.f64 (+.f64 (fma.f64 1/3 (pow.f64 N -3) (/.f64 1 N)) (*.f64 -1/2 (pow.f64 N -2))) 2) (+.f64 (/.f64 1/16 (pow.f64 N 8)) (*.f64 (+.f64 (fma.f64 1/3 (pow.f64 N -3) (/.f64 1 N)) (*.f64 -1/2 (pow.f64 N -2))) (*.f64 1/4 (pow.f64 N -4))))))
(/.f64 (+.f64 (pow.f64 (fma.f64 -1/2 (pow.f64 N -2) (fma.f64 1/3 (pow.f64 N -3) (/.f64 1 N))) 3) (/.f64 -1/64 (pow.f64 (pow.f64 N 4) 3))) (+.f64 (pow.f64 (fma.f64 -1/2 (pow.f64 N -2) (fma.f64 1/3 (pow.f64 N -3) (/.f64 1 N))) 2) (fma.f64 (fma.f64 -1/2 (pow.f64 N -2) (fma.f64 1/3 (pow.f64 N -3) (/.f64 1 N))) (*.f64 1/4 (pow.f64 N -4)) (/.f64 1/16 (pow.f64 N 8)))))
(pow.f64 (-.f64 (fma.f64 1/3 (pow.f64 N -3) (/.f64 1 N)) (fma.f64 1/2 (pow.f64 N -2) (*.f64 1/4 (pow.f64 N -4)))) 1)
(-.f64 (fma.f64 1/3 (pow.f64 N -3) (/.f64 1 N)) (fma.f64 1/2 (pow.f64 N -2) (*.f64 1/4 (pow.f64 N -4))))
(pow.f64 (cbrt.f64 (-.f64 (fma.f64 1/3 (pow.f64 N -3) (/.f64 1 N)) (fma.f64 1/2 (pow.f64 N -2) (*.f64 1/4 (pow.f64 N -4))))) 3)
(-.f64 (fma.f64 1/3 (pow.f64 N -3) (/.f64 1 N)) (fma.f64 1/2 (pow.f64 N -2) (*.f64 1/4 (pow.f64 N -4))))
(pow.f64 (pow.f64 (-.f64 (fma.f64 1/3 (pow.f64 N -3) (/.f64 1 N)) (fma.f64 1/2 (pow.f64 N -2) (*.f64 1/4 (pow.f64 N -4)))) 3) 1/3)
(-.f64 (fma.f64 1/3 (pow.f64 N -3) (/.f64 1 N)) (fma.f64 1/2 (pow.f64 N -2) (*.f64 1/4 (pow.f64 N -4))))
(pow.f64 (sqrt.f64 (-.f64 (fma.f64 1/3 (pow.f64 N -3) (/.f64 1 N)) (fma.f64 1/2 (pow.f64 N -2) (*.f64 1/4 (pow.f64 N -4))))) 2)
(-.f64 (fma.f64 1/3 (pow.f64 N -3) (/.f64 1 N)) (fma.f64 1/2 (pow.f64 N -2) (*.f64 1/4 (pow.f64 N -4))))
(sqrt.f64 (pow.f64 (-.f64 (fma.f64 1/3 (pow.f64 N -3) (/.f64 1 N)) (fma.f64 1/2 (pow.f64 N -2) (*.f64 1/4 (pow.f64 N -4)))) 2))
(fabs.f64 (-.f64 (fma.f64 1/3 (pow.f64 N -3) (/.f64 1 N)) (fma.f64 1/2 (pow.f64 N -2) (*.f64 1/4 (pow.f64 N -4)))))
(log.f64 (exp.f64 (-.f64 (fma.f64 1/3 (pow.f64 N -3) (/.f64 1 N)) (fma.f64 1/2 (pow.f64 N -2) (*.f64 1/4 (pow.f64 N -4))))))
(-.f64 (fma.f64 1/3 (pow.f64 N -3) (/.f64 1 N)) (fma.f64 1/2 (pow.f64 N -2) (*.f64 1/4 (pow.f64 N -4))))
(log.f64 (+.f64 1 (expm1.f64 (-.f64 (fma.f64 1/3 (pow.f64 N -3) (/.f64 1 N)) (fma.f64 1/2 (pow.f64 N -2) (*.f64 1/4 (pow.f64 N -4)))))))
(-.f64 (fma.f64 1/3 (pow.f64 N -3) (/.f64 1 N)) (fma.f64 1/2 (pow.f64 N -2) (*.f64 1/4 (pow.f64 N -4))))
(cbrt.f64 (pow.f64 (-.f64 (fma.f64 1/3 (pow.f64 N -3) (/.f64 1 N)) (fma.f64 1/2 (pow.f64 N -2) (*.f64 1/4 (pow.f64 N -4)))) 3))
(-.f64 (fma.f64 1/3 (pow.f64 N -3) (/.f64 1 N)) (fma.f64 1/2 (pow.f64 N -2) (*.f64 1/4 (pow.f64 N -4))))
(expm1.f64 (log1p.f64 (-.f64 (fma.f64 1/3 (pow.f64 N -3) (/.f64 1 N)) (fma.f64 1/2 (pow.f64 N -2) (*.f64 1/4 (pow.f64 N -4))))))
(log1p.f64 (expm1.f64 (-.f64 (fma.f64 1/3 (pow.f64 N -3) (/.f64 1 N)) (fma.f64 1/2 (pow.f64 N -2) (*.f64 1/4 (pow.f64 N -4))))))
(-.f64 (fma.f64 1/3 (pow.f64 N -3) (/.f64 1 N)) (fma.f64 1/2 (pow.f64 N -2) (*.f64 1/4 (pow.f64 N -4))))
(exp.f64 (log.f64 (-.f64 (fma.f64 1/3 (pow.f64 N -3) (/.f64 1 N)) (fma.f64 1/2 (pow.f64 N -2) (*.f64 1/4 (pow.f64 N -4))))))
(-.f64 (fma.f64 1/3 (pow.f64 N -3) (/.f64 1 N)) (fma.f64 1/2 (pow.f64 N -2) (*.f64 1/4 (pow.f64 N -4))))
(exp.f64 (*.f64 (log.f64 (-.f64 (fma.f64 1/3 (pow.f64 N -3) (/.f64 1 N)) (fma.f64 1/2 (pow.f64 N -2) (*.f64 1/4 (pow.f64 N -4))))) 1))
(-.f64 (fma.f64 1/3 (pow.f64 N -3) (/.f64 1 N)) (fma.f64 1/2 (pow.f64 N -2) (*.f64 1/4 (pow.f64 N -4))))
(fma.f64 1 (/.f64 1 N) (-.f64 (*.f64 1/3 (pow.f64 N -3)) (fma.f64 1/2 (pow.f64 N -2) (*.f64 1/4 (pow.f64 N -4)))))
(+.f64 (/.f64 1 N) (-.f64 (*.f64 1/3 (pow.f64 N -3)) (fma.f64 1/2 (pow.f64 N -2) (*.f64 1/4 (pow.f64 N -4)))))
(-.f64 (+.f64 (/.f64 1 N) (*.f64 1/3 (pow.f64 N -3))) (fma.f64 1/2 (pow.f64 N -2) (*.f64 1/4 (pow.f64 N -4))))
(fma.f64 1 (fma.f64 1/3 (pow.f64 N -3) (/.f64 1 N)) (neg.f64 (fma.f64 1/2 (pow.f64 N -2) (*.f64 1/4 (pow.f64 N -4)))))
(-.f64 (fma.f64 1/3 (pow.f64 N -3) (/.f64 1 N)) (fma.f64 1/2 (pow.f64 N -2) (*.f64 1/4 (pow.f64 N -4))))
(fma.f64 (cbrt.f64 (pow.f64 N -2)) (/.f64 1 (cbrt.f64 N)) (-.f64 (*.f64 1/3 (pow.f64 N -3)) (fma.f64 1/2 (pow.f64 N -2) (*.f64 1/4 (pow.f64 N -4)))))
(-.f64 (fma.f64 (cbrt.f64 (pow.f64 N -2)) (/.f64 1 (cbrt.f64 N)) (*.f64 1/3 (pow.f64 N -3))) (fma.f64 1/2 (pow.f64 N -2) (*.f64 1/4 (pow.f64 N -4))))
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 1/3 (pow.f64 N -3) (/.f64 1 N))) 2) (cbrt.f64 (fma.f64 1/3 (pow.f64 N -3) (/.f64 1 N))) (neg.f64 (fma.f64 1/2 (pow.f64 N -2) (*.f64 1/4 (pow.f64 N -4)))))
(-.f64 (fma.f64 1/3 (pow.f64 N -3) (/.f64 1 N)) (fma.f64 1/2 (pow.f64 N -2) (*.f64 1/4 (pow.f64 N -4))))
(fma.f64 (pow.f64 N -1/2) (pow.f64 N -1/2) (-.f64 (*.f64 1/3 (pow.f64 N -3)) (fma.f64 1/2 (pow.f64 N -2) (*.f64 1/4 (pow.f64 N -4)))))
(+.f64 (/.f64 1 N) (-.f64 (*.f64 1/3 (pow.f64 N -3)) (fma.f64 1/2 (pow.f64 N -2) (*.f64 1/4 (pow.f64 N -4)))))
(-.f64 (+.f64 (/.f64 1 N) (*.f64 1/3 (pow.f64 N -3))) (fma.f64 1/2 (pow.f64 N -2) (*.f64 1/4 (pow.f64 N -4))))
(fma.f64 (sqrt.f64 (fma.f64 1/3 (pow.f64 N -3) (/.f64 1 N))) (sqrt.f64 (fma.f64 1/3 (pow.f64 N -3) (/.f64 1 N))) (neg.f64 (fma.f64 1/2 (pow.f64 N -2) (*.f64 1/4 (pow.f64 N -4)))))
(-.f64 (fma.f64 1/3 (pow.f64 N -3) (/.f64 1 N)) (fma.f64 1/2 (pow.f64 N -2) (*.f64 1/4 (pow.f64 N -4))))

eval585.0ms (7.8%)

Compiler

Compiled 18156 to 14868 computations (18.1% saved)

prune105.0ms (1.4%)

Pruning

13 alts after pruning (1 fresh and 12 done)

PrunedKeptTotal
New6571658
Fresh101
Picked055
Done077
Total65813671
Accuracy
100.0%
Counts
671 → 13
Alt Table
Click to see full alt table
StatusAccuracyProgram
97.9%
(pow.f64 (cbrt.f64 (log1p.f64 (/.f64 1 N))) 3)
92.7%
(/.f64 (*.f64 N (-.f64 N 1/2)) (pow.f64 N 3))
85.1%
(/.f64 1 N)
95.5%
(-.f64 (/.f64 (+.f64 (pow.f64 N 3) (*.f64 N 1/3)) (pow.f64 N 4)) (*.f64 1/2 (pow.f64 N -2)))
97.2%
(-.f64 (+.f64 (/.f64 1 N) (/.f64 1/3 (pow.f64 N 3))) (+.f64 (/.f64 1/2 (pow.f64 N 2)) (/.f64 1/4 (pow.f64 N 4))))
95.9%
(-.f64 (+.f64 (/.f64 1 N) (*.f64 1/3 (pow.f64 N -3))) (*.f64 1/2 (pow.f64 N -2)))
95.9%
(+.f64 (/.f64 1 N) (-.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 1/2 (pow.f64 N 2))))
92.8%
(*.f64 (+.f64 N -1/2) (pow.f64 N -2))
26.2%
(neg.f64 (*.f64 2 (log.f64 (sqrt.f64 (/.f64 N (+.f64 N 1))))))
27.0%
(neg.f64 (log.f64 (/.f64 N (+.f64 N 1))))
99.8%
(log1p.f64 (/.f64 1 N))
95.1%
(exp.f64 (log.f64 (log1p.f64 (/.f64 1 N))))
98.9%
(cbrt.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 3))
Compiler

Compiled 434 to 339 computations (21.9% saved)

regimes18.0ms (0.2%)

Counts
25 → 1
Calls
Call 1
Inputs
(/.f64 1 N)
(log1p.f64 (/.f64 1 N))
(neg.f64 (log.f64 (/.f64 N (+.f64 N 1))))
(*.f64 (+.f64 N -1/2) (pow.f64 N -2))
(*.f64 (*.f64 (pow.f64 N -3) N) (+.f64 N -1/2))
(-.f64 (/.f64 1 N) (/.f64 1/2 (pow.f64 N 2)))
(/.f64 (*.f64 N (-.f64 N 1/2)) (pow.f64 N 3))
(-.f64 (log1p.f64 N) (log.f64 N))
(-.f64 (log.f64 (+.f64 N 1)) (log.f64 N))
(neg.f64 (*.f64 2 (log.f64 (sqrt.f64 (/.f64 N (+.f64 N 1))))))
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (-.f64 (/.f64 1 N) (/.f64 1/2 (pow.f64 N 2))))
(+.f64 (/.f64 1 N) (-.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 1/2 (pow.f64 N 2))))
(-.f64 (+.f64 (/.f64 1 N) (*.f64 1/3 (pow.f64 N -3))) (*.f64 1/2 (pow.f64 N -2)))
(exp.f64 (log.f64 (log1p.f64 (/.f64 1 N))))
(cbrt.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 3))
(pow.f64 (cbrt.f64 (log1p.f64 (/.f64 1 N))) 3)
(-.f64 (/.f64 (+.f64 (pow.f64 N 3) (*.f64 N 1/3)) (pow.f64 N 4)) (*.f64 1/2 (pow.f64 N -2)))
(/.f64 (-.f64 (pow.f64 N -2) (/.f64 1/4 (pow.f64 N 4))) (+.f64 (/.f64 1 N) (*.f64 1/2 (pow.f64 N -2))))
(+.f64 (/.f64 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 (/.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))))
(neg.f64 (+.f64 (/.f64 1/4 (pow.f64 N 4)) (-.f64 (-.f64 (/.f64 1/2 (pow.f64 N 2)) (/.f64 1/3 (pow.f64 N 3))) (/.f64 1 N))))
(+.f64 (log.f64 (pow.f64 N -1/2)) (log.f64 (/.f64 (+.f64 N 1) (sqrt.f64 N))))
(+.f64 (log.f64 (/.f64 1 (sqrt.f64 N))) (log.f64 (/.f64 (+.f64 N 1) (sqrt.f64 N))))
(*.f64 (cbrt.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 3/2)) (cbrt.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 3/2)))
(fma.f64 (pow.f64 N -1/2) (pow.f64 N -1/2) (fma.f64 1/3 (pow.f64 N -3) (*.f64 -1/2 (pow.f64 N -2))))
Outputs
(log1p.f64 (/.f64 1 N))
Calls

2 calls:

13.0ms
N
4.0ms
(-.f64 (log.f64 (+.f64 N 1)) (log.f64 N))
Results
AccuracySegmentsBranch
99.8%1N
99.8%1(-.f64 (log.f64 (+.f64 N 1)) (log.f64 N))
Compiler

Compiled 10 to 7 computations (30% saved)

regimes3.0ms (0%)

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

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

1 calls:

3.0ms
N
Results
AccuracySegmentsBranch
85.1%1N
Compiler

Compiled 2 to 1 computations (50% saved)

simplify3.0ms (0%)

Algorithm
egg-herbie
Rules
1-exp
Iterations

Useful iterations: 0 (0.0ms)

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

Compiled 9 to 7 computations (22.2% saved)

soundness335.0ms (4.5%)

Rules
1182×cancel-sign-sub-inv
1042×unpow-prod-down
1032×unswap-sqr
862×prod-diff
626×times-frac
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01350
118150
2175850
042610734
1103310117
235529000
Stop Event
node limit
node limit
Compiler

Compiled 106 to 71 computations (33% saved)

end0.0ms (0%)

preprocess36.0ms (0.5%)

Compiler

Compiled 42 to 32 computations (23.8% saved)

Profiling

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