2log (problem 3.3.6)

Time bar (total: 12.4s)

analyze0.0ms (0%)

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

Compiled 15 to 11 computations (26.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 0.0ms
Operation ival-sub, time spent: 0.0ms, 0.0% of total-time
Operation ival-log, time spent: 0.0ms, 0.0% of total-time
Operation ival-add, time spent: 0.0ms, 0.0% of total-time
Operation const, time spent: 0.0ms, 0.0% of total-time
Operation ival-and, time spent: 0.0ms, 0.0% of total-time
Operation ival-<, time spent: 0.0ms, 0.0% of total-time
Operation ival->, time spent: 0.0ms, 0.0% of total-time

sample1.6s (12.8%)

Results
1.5s8255×256valid
0.0ms256valid
Precisions
Click to see histograms. Total time spent on operations: 860.0ms
Operation ival-log, time spent: 611.0ms, 71.0% of total-time
Operation ival-add, time spent: 64.0ms, 7.0% of total-time
Operation ival->, time spent: 57.0ms, 7.0% of total-time
Operation ival-sub, time spent: 50.0ms, 6.0% of total-time
Operation ival-<, time spent: 48.0ms, 6.0% of total-time
Operation const, time spent: 17.0ms, 2.0% of total-time
Operation ival-and, time spent: 12.0ms, 1.0% of total-time
Bogosity

preprocess434.0ms (3.5%)

Algorithm
egg-herbie
Rules
2592×fma-def
986×distribute-rgt-in
952×distribute-lft-in
842×fma-neg
768×associate-+r+
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
2430-3(28.496082563077454)(-.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
680096
7128696
8203596
9345096
10412396
11415196
12417596
13417596
14624996
15668696
16703896
17703896
18744096
19797596
Stop Event
node limit
Calls
Call 1
Inputs
(-.f64 (log.f64 (+.f64 N 1)) (log.f64 N))
(-.f64 (log.f64 (+.f64 N 1)) (log.f64 N))
(-.f64 (log.f64 (+.f64 (neg.f64 N) 1)) (log.f64 (neg.f64 N)))
(neg.f64 (-.f64 (log.f64 (+.f64 (neg.f64 N) 1)) (log.f64 (neg.f64 N))))
Outputs
(-.f64 (log.f64 (+.f64 N 1)) (log.f64 N))
(-.f64 (log1p.f64 N) (log.f64 N))
(-.f64 (log.f64 (+.f64 N 1)) (log.f64 N))
(-.f64 (log1p.f64 N) (log.f64 N))
(-.f64 (log.f64 (+.f64 (neg.f64 N) 1)) (log.f64 (neg.f64 N)))
(-.f64 (log.f64 (+.f64 1 (neg.f64 N))) (log.f64 (neg.f64 N)))
(-.f64 (log1p.f64 (neg.f64 N)) (log.f64 (neg.f64 N)))
(-.f64 (log.f64 (+.f64 N -1)) (log.f64 N))
(neg.f64 (-.f64 (log.f64 (+.f64 (neg.f64 N) 1)) (log.f64 (neg.f64 N))))
(neg.f64 (-.f64 (log.f64 (+.f64 1 (neg.f64 N))) (log.f64 (neg.f64 N))))
(neg.f64 (-.f64 (log1p.f64 (neg.f64 N)) (log.f64 (neg.f64 N))))
(-.f64 (log.f64 (neg.f64 N)) (log1p.f64 (neg.f64 N)))
(-.f64 (log.f64 N) (log.f64 (+.f64 N -1)))
Compiler

Compiled 48 to 32 computations (33.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 53.0ms
Operation ival-log, time spent: 39.0ms, 74.0% of total-time
Operation ival-add, time spent: 9.0ms, 17.0% of total-time
Operation ival-sub, time spent: 3.0ms, 6.0% of total-time
Operation const, time spent: 2.0ms, 4.0% of total-time

eval0.0ms (0%)

Compiler

Compiled 6 to 4 computations (33.3% saved)

prune1.0ms (0%)

Alt Table
Click to see full alt table
StatusAccuracyProgram
26.3%
(-.f64 (log1p.f64 N) (log.f64 N))
Compiler

Compiled 6 to 4 computations (33.3% saved)

localize39.0ms (0.3%)

Localize:

Found 2 expressions with local error:

NewAccuracyProgram
100.0%
(log1p.f64 N)
26.3%
(-.f64 (log1p.f64 N) (log.f64 N))
Compiler

Compiled 12 to 5 computations (58.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 13.0ms
Operation ival-log1p, time spent: 6.0ms, 45.0% of total-time
Operation ival-log, time spent: 5.0ms, 37.0% of total-time
Operation ival-sub, time spent: 1.0ms, 7.0% of total-time
Operation const, time spent: 0.0ms, 0.0% of total-time

series2.0ms (0%)

Counts
2 → 24
Calls

6 calls:

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

rewrite372.0ms (3%)

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

Useful iterations: 0 (0.0ms)

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

simplify86.0ms (0.7%)

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

Useful iterations: 2 (0.0ms)

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

eval55.0ms (0.4%)

Compiler

Compiled 3089 to 1443 computations (53.3% saved)

prune40.0ms (0.3%)

Pruning

17 alts after pruning (16 fresh and 1 done)

PrunedKeptTotal
New19916215
Fresh000
Picked011
Done000
Total19917216
Accuracy
99.6%
Counts
216 → 17
Alt Table
Click to see full alt table
StatusAccuracyProgram
27.3%
(fma.f64 (sqrt.f64 (log1p.f64 N)) (sqrt.f64 (log1p.f64 N)) (neg.f64 (log.f64 N)))
26.4%
(pow.f64 (sqrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))) 2)
82.6%
(/.f64 1 N)
91.2%
(-.f64 (/.f64 1 N) (/.f64 1/2 (pow.f64 N 2)))
26.3%
(-.f64 (log1p.f64 N) (log.f64 N))
94.0%
(+.f64 (/.f64 1 N) (+.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 -1/2 (pow.f64 N 2))))
94.0%
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (-.f64 (/.f64 1 N) (/.f64 1/2 (pow.f64 N 2))))
95.1%
(+.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)))))
27.3%
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 N 1) N)) 2)) (log.f64 (cbrt.f64 (/.f64 (+.f64 N 1) N))))
26.3%
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N)))) 2) 3) (cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))))
26.3%
(*.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))
26.3%
(*.f64 (cbrt.f64 (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 3/2)) (cbrt.f64 (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 3/2)))
28.1%
(*.f64 2 (log.f64 (sqrt.f64 (/.f64 (+.f64 N 1) N))))
29.4%
(log.f64 (/.f64 (+.f64 N 1) N))
26.3%
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N)))) 3))
26.3%
(exp.f64 (log.f64 (-.f64 (log1p.f64 N) (log.f64 N))))
26.3%
(cbrt.f64 (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 3))
Compiler

Compiled 422 to 304 computations (28% saved)

localize470.0ms (3.8%)

Localize:

Found 16 expressions with local error:

NewAccuracyProgram
99.4%
(pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 3/2)
99.3%
(*.f64 (cbrt.f64 (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 3/2)) (cbrt.f64 (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 3/2)))
98.9%
(cbrt.f64 (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 3/2))
26.3%
(-.f64 (log1p.f64 N) (log.f64 N))
100.0%
(log1p.f64 N)
99.8%
(sqrt.f64 (-.f64 (log1p.f64 N) (log.f64 N)))
99.3%
(pow.f64 (sqrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))) 2)
26.3%
(-.f64 (log1p.f64 N) (log.f64 N))
99.9%
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (-.f64 (/.f64 1 N) (/.f64 1/2 (pow.f64 N 2))))
99.9%
(-.f64 (/.f64 1 N) (/.f64 1/2 (pow.f64 N 2)))
99.6%
(/.f64 1/2 (pow.f64 N 2))
99.4%
(/.f64 1/3 (pow.f64 N 3))
99.9%
(-.f64 (/.f64 1 N) (+.f64 (/.f64 1/2 (pow.f64 N 2)) (/.f64 1/4 (pow.f64 N 4))))
99.6%
(/.f64 1/2 (pow.f64 N 2))
99.6%
(/.f64 1/4 (pow.f64 N 4))
99.4%
(/.f64 1/3 (pow.f64 N 3))
Compiler

Compiled 206 to 128 computations (37.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 176.0ms
Operation ival-pow, time spent: 71.0ms, 40.0% of total-time
Operation ival-div, time spent: 41.0ms, 23.0% of total-time
Operation ival-log1p, time spent: 26.0ms, 15.0% of total-time
Operation const, time spent: 9.0ms, 5.0% of total-time
Operation ival-sub, time spent: 7.0ms, 4.0% of total-time
Operation ival-add, time spent: 6.0ms, 3.0% of total-time
Operation ival-cbrt, time spent: 6.0ms, 3.0% of total-time
Operation ival-log, time spent: 5.0ms, 3.0% of total-time
Operation ival-sqrt, time spent: 3.0ms, 2.0% of total-time
Operation ival-mult, time spent: 2.0ms, 1.0% of total-time

series19.0ms (0.1%)

Counts
13 → 72
Calls

39 calls:

TimeVariablePointExpression
2.0ms
N
@inf
(pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 3/2)
2.0ms
N
@0
(pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 3/2)
1.0ms
N
@-inf
(pow.f64 (sqrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))) 2)
1.0ms
N
@inf
(pow.f64 (sqrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))) 2)
1.0ms
N
@-inf
(pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 3/2)

rewrite304.0ms (2.4%)

Algorithm
batch-egg-rewrite
Rules
706×expm1-udef
280×associate-*r*
225×log1p-expm1-u
225×expm1-log1p-u
200×add-cube-cbrt
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
033334
1512326
27567326
Stop Event
node limit
Counts
13 → 455
Calls
Call 1
Inputs
(/.f64 1/3 (pow.f64 N 3))
(/.f64 1/4 (pow.f64 N 4))
(/.f64 1/2 (pow.f64 N 2))
(-.f64 (/.f64 1 N) (+.f64 (/.f64 1/2 (pow.f64 N 2)) (/.f64 1/4 (pow.f64 N 4))))
(/.f64 1/3 (pow.f64 N 3))
(/.f64 1/2 (pow.f64 N 2))
(-.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))))
(pow.f64 (sqrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))) 2)
(sqrt.f64 (-.f64 (log1p.f64 N) (log.f64 N)))
(cbrt.f64 (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 3/2))
(*.f64 (cbrt.f64 (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 3/2)) (cbrt.f64 (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 3/2)))
(pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 3/2)
Outputs
(-.f64 (exp.f64 (log1p.f64 (*.f64 1/3 (pow.f64 N -3)))) 1)
(*.f64 1/3 (pow.f64 N -3))
(*.f64 (*.f64 1/3 (pow.f64 N -3)) 1)
(*.f64 1 (*.f64 1/3 (pow.f64 N -3)))
(*.f64 (/.f64 (cbrt.f64 1/3) N) (pow.f64 (/.f64 (cbrt.f64 1/3) N) 2))
(*.f64 (pow.f64 (/.f64 (cbrt.f64 1/3) N) 2) (/.f64 (cbrt.f64 1/3) N))
(*.f64 (/.f64 (sqrt.f64 1/3) (pow.f64 N 3/2)) (/.f64 (sqrt.f64 1/3) (pow.f64 N 3/2)))
(*.f64 -1/3 (/.f64 1 (neg.f64 (pow.f64 N 3))))
(*.f64 (pow.f64 N -3) 1/3)
(pow.f64 (*.f64 1/3 (pow.f64 N -3)) 1)
(pow.f64 (/.f64 (cbrt.f64 1/3) N) 3)
(pow.f64 (/.f64 1/27 (pow.f64 (pow.f64 N 3) 3)) 1/3)
(pow.f64 (/.f64 (sqrt.f64 1/3) (pow.f64 N 3/2)) 2)
(pow.f64 (*.f64 (pow.f64 N 3) 3) -1)
(sqrt.f64 (/.f64 1/9 (pow.f64 N 6)))
(log.f64 (pow.f64 (exp.f64 1/3) (pow.f64 N -3)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 1/3 (pow.f64 N -3)))))
(cbrt.f64 (/.f64 1/27 (pow.f64 (pow.f64 N 3) 3)))
(expm1.f64 (log1p.f64 (*.f64 1/3 (pow.f64 N -3))))
(exp.f64 (log.f64 (*.f64 1/3 (pow.f64 N -3))))
(exp.f64 (*.f64 (log.f64 (*.f64 1/3 (pow.f64 N -3))) 1))
(log1p.f64 (expm1.f64 (*.f64 1/3 (pow.f64 N -3))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 1/4 (pow.f64 N -4)))) 1)
(*.f64 1/4 (pow.f64 N -4))
(*.f64 1/4 (*.f64 (pow.f64 N -2) (pow.f64 N -2)))
(*.f64 (*.f64 1/4 (pow.f64 N -4)) 1)
(*.f64 1/2 (*.f64 (pow.f64 N -2) (*.f64 1/2 (pow.f64 N -2))))
(*.f64 (*.f64 1/2 (pow.f64 N -2)) (*.f64 1/2 (pow.f64 N -2)))
(*.f64 1 (*.f64 1/4 (pow.f64 N -4)))
(*.f64 (cbrt.f64 (*.f64 1/4 (pow.f64 N -4))) (cbrt.f64 (/.f64 1/16 (pow.f64 N 8))))
(*.f64 (cbrt.f64 (*.f64 1/4 (pow.f64 N -4))) (*.f64 (cbrt.f64 (*.f64 1/2 (pow.f64 N -2))) (*.f64 1/2 (pow.f64 N -2))))
(*.f64 (cbrt.f64 (/.f64 1/16 (pow.f64 N 8))) (cbrt.f64 (*.f64 1/4 (pow.f64 N -4))))
(*.f64 (/.f64 (sqrt.f64 1/2) N) (*.f64 (/.f64 (sqrt.f64 1/2) N) (*.f64 1/2 (pow.f64 N -2))))
(*.f64 -1/4 (/.f64 1 (neg.f64 (pow.f64 N 4))))
(*.f64 (pow.f64 N -4) 1/4)
(*.f64 (*.f64 (*.f64 1/2 (pow.f64 N -2)) (/.f64 (sqrt.f64 1/2) N)) (/.f64 (sqrt.f64 1/2) N))
(*.f64 (*.f64 (*.f64 1/2 (pow.f64 N -2)) 1/2) (pow.f64 N -2))
(*.f64 (*.f64 (*.f64 1/2 (pow.f64 N -2)) (cbrt.f64 (*.f64 1/4 (pow.f64 N -4)))) (cbrt.f64 (*.f64 1/2 (pow.f64 N -2))))
(pow.f64 (*.f64 1/4 (pow.f64 N -4)) 1)
(pow.f64 (*.f64 1/2 (pow.f64 N -2)) 2)
(pow.f64 (cbrt.f64 (*.f64 1/4 (pow.f64 N -4))) 3)
(pow.f64 (pow.f64 (*.f64 1/4 (pow.f64 N -4)) 3) 1/3)
(pow.f64 (*.f64 (pow.f64 N 4) 4) -1)
(sqrt.f64 (/.f64 1/16 (pow.f64 N 8)))
(log.f64 (pow.f64 (exp.f64 1/4) (pow.f64 N -4)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 1/4 (pow.f64 N -4)))))
(cbrt.f64 (pow.f64 (*.f64 1/4 (pow.f64 N -4)) 3))
(expm1.f64 (log1p.f64 (*.f64 1/4 (pow.f64 N -4))))
(exp.f64 (log.f64 (*.f64 1/4 (pow.f64 N -4))))
(exp.f64 (*.f64 (log.f64 (*.f64 1/4 (pow.f64 N -4))) 1))
(log1p.f64 (expm1.f64 (*.f64 1/4 (pow.f64 N -4))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 1/2 (pow.f64 N -2)))) 1)
(*.f64 1/2 (pow.f64 N -2))
(*.f64 1/2 (sqrt.f64 (pow.f64 N -4)))
(*.f64 (*.f64 1/2 (pow.f64 N -2)) 1)
(*.f64 1 (*.f64 1/2 (pow.f64 N -2)))
(*.f64 (cbrt.f64 (*.f64 1/2 (pow.f64 N -2))) (cbrt.f64 (*.f64 1/4 (pow.f64 N -4))))
(*.f64 (cbrt.f64 (*.f64 1/4 (pow.f64 N -4))) (cbrt.f64 (*.f64 1/2 (pow.f64 N -2))))
(*.f64 (/.f64 (sqrt.f64 1/2) N) (/.f64 (sqrt.f64 1/2) N))
(*.f64 -1/2 (/.f64 1 (neg.f64 (pow.f64 N 2))))
(*.f64 (pow.f64 N -2) 1/2)
(*.f64 (sqrt.f64 (cbrt.f64 (/.f64 1/16 (pow.f64 N 8)))) (sqrt.f64 (cbrt.f64 (*.f64 1/4 (pow.f64 N -4)))))
(pow.f64 (*.f64 1/4 (pow.f64 N -4)) 1/2)
(pow.f64 (*.f64 1/2 (pow.f64 N -2)) 1)
(pow.f64 (cbrt.f64 (*.f64 1/2 (pow.f64 N -2))) 3)
(pow.f64 (/.f64 (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)
(sqrt.f64 (*.f64 1/4 (pow.f64 N -4)))
(fabs.f64 (*.f64 1/2 (pow.f64 N -2)))
(log.f64 (pow.f64 (exp.f64 1/2) (pow.f64 N -2)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 1/2 (pow.f64 N -2)))))
(cbrt.f64 (/.f64 1/8 (pow.f64 N 6)))
(expm1.f64 (log1p.f64 (*.f64 1/2 (pow.f64 N -2))))
(exp.f64 (log.f64 (*.f64 1/2 (pow.f64 N -2))))
(exp.f64 (*.f64 (log.f64 (*.f64 1/2 (pow.f64 N -2))) 1))
(log1p.f64 (expm1.f64 (*.f64 1/2 (pow.f64 N -2))))
(+.f64 (/.f64 1 N) (neg.f64 (fma.f64 1/2 (pow.f64 N -2) (*.f64 1/4 (pow.f64 N -4)))))
(+.f64 (/.f64 1 N) (*.f64 (neg.f64 (fma.f64 1/2 (pow.f64 N -2) (*.f64 1/4 (pow.f64 N -4)))) 1))
(+.f64 (/.f64 1 N) (-.f64 (*.f64 -1/2 (pow.f64 N -2)) (*.f64 1/4 (pow.f64 N -4))))
(+.f64 (-.f64 (/.f64 1 N) (fma.f64 1/2 (pow.f64 N -2) (*.f64 1/4 (pow.f64 N -4)))) (fma.f64 (neg.f64 (fma.f64 1/2 (pow.f64 N -2) (*.f64 1/4 (pow.f64 N -4)))) 1 (fma.f64 1/2 (pow.f64 N -2) (*.f64 1/4 (pow.f64 N -4)))))
(+.f64 (-.f64 (/.f64 1 N) (fma.f64 1/2 (pow.f64 N -2) (*.f64 1/4 (pow.f64 N -4)))) (fma.f64 (neg.f64 (cbrt.f64 (fma.f64 1/2 (pow.f64 N -2) (*.f64 1/4 (pow.f64 N -4))))) (pow.f64 (cbrt.f64 (fma.f64 1/2 (pow.f64 N -2) (*.f64 1/4 (pow.f64 N -4)))) 2) (fma.f64 1/2 (pow.f64 N -2) (*.f64 1/4 (pow.f64 N -4)))))
(+.f64 (-.f64 (/.f64 1 N) (fma.f64 1/2 (pow.f64 N -2) (*.f64 1/4 (pow.f64 N -4)))) (fma.f64 (neg.f64 (hypot.f64 (*.f64 1/2 (pow.f64 N -2)) (/.f64 (sqrt.f64 1/2) N))) (hypot.f64 (*.f64 1/2 (pow.f64 N -2)) (/.f64 (sqrt.f64 1/2) N)) (fma.f64 1/2 (pow.f64 N -2) (*.f64 1/4 (pow.f64 N -4)))))
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(*.f64 (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 3/4) (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 3/4))
(*.f64 (pow.f64 1 3/2) (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 3/2))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))) 2) 3/2) (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))) 3/2))
(*.f64 (*.f64 (-.f64 (log1p.f64 N) (log.f64 N)) (cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N)))) (cbrt.f64 (sqrt.f64 (-.f64 (log1p.f64 N) (log.f64 N)))))
(*.f64 (*.f64 (-.f64 (log1p.f64 N) (log.f64 N)) (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 1/4)) (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 1/4))
(/.f64 (*.f64 (-.f64 (pow.f64 (log1p.f64 N) 3) (pow.f64 (log.f64 N) 3)) (sqrt.f64 (-.f64 (log1p.f64 N) (log.f64 N)))) (+.f64 (pow.f64 (log1p.f64 N) 2) (*.f64 (log.f64 N) (+.f64 (log1p.f64 N) (log.f64 N)))))
(/.f64 (*.f64 (-.f64 (pow.f64 (log1p.f64 N) 2) (pow.f64 (log.f64 N) 2)) (sqrt.f64 (-.f64 (log1p.f64 N) (log.f64 N)))) (+.f64 (log1p.f64 N) (log.f64 N)))
(sqrt.f64 (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 3))
(log.f64 (exp.f64 (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 3/2)))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 3/2))))
(cbrt.f64 (pow.f64 (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 3/2) 3))
(expm1.f64 (log1p.f64 (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 3/2)))
(exp.f64 (*.f64 3/2 (log.f64 (-.f64 (log1p.f64 N) (log.f64 N)))))
(exp.f64 (*.f64 (*.f64 3/2 (log.f64 (-.f64 (log1p.f64 N) (log.f64 N)))) 1))
(log1p.f64 (expm1.f64 (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 3/2)))

simplify236.0ms (1.9%)

Algorithm
egg-herbie
Rules
1870×fma-def
562×distribute-rgt-in
540×times-frac
522×distribute-lft-in
420×cancel-sign-sub-inv
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0101527702
1287126358
Stop Event
node limit
Counts
527 → 598
Calls
Call 1
Inputs
(/.f64 -1/4 (pow.f64 N 4))
(neg.f64 (+.f64 (*.f64 1/2 (/.f64 1 (pow.f64 N 2))) (*.f64 1/4 (/.f64 1 (pow.f64 N 4)))))
(-.f64 (/.f64 1 N) (+.f64 (*.f64 1/2 (/.f64 1 (pow.f64 N 2))) (*.f64 1/4 (/.f64 1 (pow.f64 N 4)))))
(-.f64 (/.f64 1 N) (+.f64 (*.f64 1/2 (/.f64 1 (pow.f64 N 2))) (*.f64 1/4 (/.f64 1 (pow.f64 N 4)))))
(/.f64 1 N)
(-.f64 (/.f64 1 N) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (/.f64 1 N) (+.f64 (*.f64 1/4 (/.f64 1 (pow.f64 N 4))) (*.f64 1/2 (/.f64 1 (pow.f64 N 2)))))
(-.f64 (/.f64 1 N) (+.f64 (*.f64 1/4 (/.f64 1 (pow.f64 N 4))) (*.f64 1/2 (/.f64 1 (pow.f64 N 2)))))
(/.f64 1 N)
(-.f64 (/.f64 1 N) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (/.f64 1 N) (+.f64 (*.f64 1/4 (/.f64 1 (pow.f64 N 4))) (*.f64 1/2 (/.f64 1 (pow.f64 N 2)))))
(-.f64 (/.f64 1 N) (+.f64 (*.f64 1/4 (/.f64 1 (pow.f64 N 4))) (*.f64 1/2 (/.f64 1 (pow.f64 N 2)))))
(/.f64 -1/2 (pow.f64 N 2))
(-.f64 (/.f64 1 N) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (/.f64 1 N) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (/.f64 1 N) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(/.f64 1 N)
(-.f64 (/.f64 1 N) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (/.f64 1 N) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (/.f64 1 N) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(/.f64 1 N)
(-.f64 (/.f64 1 N) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (/.f64 1 N) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (/.f64 1 N) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(/.f64 1/3 (pow.f64 N 3))
(-.f64 (*.f64 1/3 (/.f64 1 (pow.f64 N 3))) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (+.f64 (/.f64 1 N) (*.f64 1/3 (/.f64 1 (pow.f64 N 3)))) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (+.f64 (/.f64 1 N) (*.f64 1/3 (/.f64 1 (pow.f64 N 3)))) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(/.f64 1 N)
(-.f64 (/.f64 1 N) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 N 3))) (/.f64 1 N)) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 N 3))) (/.f64 1 N)) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(/.f64 1 N)
(-.f64 (/.f64 1 N) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 N 3))) (/.f64 1 N)) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 N 3))) (/.f64 1 N)) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(*.f64 (log.f64 N) (pow.f64 (sqrt.f64 -1) 2))
(+.f64 N (*.f64 (log.f64 N) (pow.f64 (sqrt.f64 -1) 2)))
(+.f64 N (+.f64 (*.f64 (log.f64 N) (pow.f64 (sqrt.f64 -1) 2)) (*.f64 (pow.f64 N 2) (+.f64 (*.f64 -1 (+.f64 1/2 (pow.f64 (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (log.f64 N))) (/.f64 1 (sqrt.f64 -1)))) 2))) (*.f64 1/4 (/.f64 1 (*.f64 (log.f64 N) (pow.f64 (sqrt.f64 -1) 2))))))))
(+.f64 N (+.f64 (*.f64 1/3 (pow.f64 N 3)) (+.f64 (*.f64 (log.f64 N) (pow.f64 (sqrt.f64 -1) 2)) (*.f64 (pow.f64 N 2) (+.f64 (*.f64 -1 (+.f64 1/2 (pow.f64 (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (log.f64 N))) (/.f64 1 (sqrt.f64 -1)))) 2))) (*.f64 1/4 (/.f64 1 (*.f64 (log.f64 N) (pow.f64 (sqrt.f64 -1) 2)))))))))
(*.f64 (sqrt.f64 (log.f64 N)) (sqrt.f64 -1))
(+.f64 (*.f64 1/2 (*.f64 (/.f64 N (sqrt.f64 -1)) (sqrt.f64 (/.f64 1 (log.f64 N))))) (*.f64 (sqrt.f64 (log.f64 N)) (sqrt.f64 -1)))
(+.f64 (*.f64 -1/2 (*.f64 (/.f64 (*.f64 (pow.f64 N 2) (+.f64 1/2 (pow.f64 (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (log.f64 N))) (/.f64 1 (sqrt.f64 -1)))) 2))) (sqrt.f64 -1)) (sqrt.f64 (/.f64 1 (log.f64 N))))) (+.f64 (*.f64 1/2 (*.f64 (/.f64 N (sqrt.f64 -1)) (sqrt.f64 (/.f64 1 (log.f64 N))))) (*.f64 (sqrt.f64 (log.f64 N)) (sqrt.f64 -1))))
(+.f64 (*.f64 -1/2 (*.f64 (/.f64 (*.f64 (pow.f64 N 2) (+.f64 1/2 (pow.f64 (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (log.f64 N))) (/.f64 1 (sqrt.f64 -1)))) 2))) (sqrt.f64 -1)) (sqrt.f64 (/.f64 1 (log.f64 N))))) (+.f64 (*.f64 1/2 (*.f64 (/.f64 N (sqrt.f64 -1)) (sqrt.f64 (/.f64 1 (log.f64 N))))) (+.f64 (*.f64 1/2 (*.f64 (/.f64 (*.f64 (pow.f64 N 3) (-.f64 1/3 (*.f64 -1/2 (/.f64 (+.f64 1/2 (pow.f64 (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (log.f64 N))) (/.f64 1 (sqrt.f64 -1)))) 2)) (*.f64 (log.f64 N) (pow.f64 (sqrt.f64 -1) 2)))))) (sqrt.f64 -1)) (sqrt.f64 (/.f64 1 (log.f64 N))))) (*.f64 (sqrt.f64 (log.f64 N)) (sqrt.f64 -1)))))
(*.f64 (sqrt.f64 (log.f64 N)) (sqrt.f64 -1))
(+.f64 (*.f64 1/2 (*.f64 (/.f64 N (sqrt.f64 -1)) (sqrt.f64 (/.f64 1 (log.f64 N))))) (*.f64 (sqrt.f64 (log.f64 N)) (sqrt.f64 -1)))
(+.f64 (*.f64 -1/2 (*.f64 (/.f64 (*.f64 (pow.f64 N 2) (+.f64 1/2 (pow.f64 (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (log.f64 N))) (/.f64 1 (sqrt.f64 -1)))) 2))) (sqrt.f64 -1)) (sqrt.f64 (/.f64 1 (log.f64 N))))) (+.f64 (*.f64 1/2 (*.f64 (/.f64 N (sqrt.f64 -1)) (sqrt.f64 (/.f64 1 (log.f64 N))))) (*.f64 (sqrt.f64 (log.f64 N)) (sqrt.f64 -1))))
(+.f64 (*.f64 -1/2 (*.f64 (/.f64 (*.f64 (pow.f64 N 2) (+.f64 1/2 (pow.f64 (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (log.f64 N))) (/.f64 1 (sqrt.f64 -1)))) 2))) (sqrt.f64 -1)) (sqrt.f64 (/.f64 1 (log.f64 N))))) (+.f64 (*.f64 1/2 (*.f64 (/.f64 N (sqrt.f64 -1)) (sqrt.f64 (/.f64 1 (log.f64 N))))) (+.f64 (*.f64 1/2 (*.f64 (/.f64 (*.f64 (pow.f64 N 3) (-.f64 1/3 (*.f64 -1/2 (/.f64 (+.f64 1/2 (pow.f64 (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (log.f64 N))) (/.f64 1 (sqrt.f64 -1)))) 2)) (*.f64 (log.f64 N) (pow.f64 (sqrt.f64 -1) 2)))))) (sqrt.f64 -1)) (sqrt.f64 (/.f64 1 (log.f64 N))))) (*.f64 (sqrt.f64 (log.f64 N)) (sqrt.f64 -1)))))
(*.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 (sqrt.f64 (pow.f64 (log.f64 N) 3)) (sqrt.f64 -1))
(+.f64 (*.f64 -3/2 (*.f64 (*.f64 N (sqrt.f64 -1)) (sqrt.f64 (log.f64 N)))) (*.f64 (sqrt.f64 (pow.f64 (log.f64 N) 3)) (sqrt.f64 -1)))
(+.f64 (*.f64 -3/2 (*.f64 (*.f64 N (sqrt.f64 -1)) (sqrt.f64 (log.f64 N)))) (+.f64 (*.f64 (sqrt.f64 (pow.f64 (log.f64 N) 3)) (sqrt.f64 -1)) (*.f64 (*.f64 (pow.f64 N 2) (*.f64 (sqrt.f64 -1) (+.f64 (*.f64 3/4 (-.f64 (/.f64 1 (log.f64 N)) (/.f64 1 (pow.f64 (log.f64 N) 2)))) (*.f64 9/8 (/.f64 1 (pow.f64 (log.f64 N) 2)))))) (sqrt.f64 (pow.f64 (log.f64 N) 3)))))
(+.f64 (*.f64 -3/2 (*.f64 (*.f64 N (sqrt.f64 -1)) (sqrt.f64 (log.f64 N)))) (+.f64 (*.f64 (sqrt.f64 (pow.f64 (log.f64 N) 3)) (sqrt.f64 -1)) (+.f64 (*.f64 (*.f64 (pow.f64 N 2) (*.f64 (sqrt.f64 -1) (+.f64 (*.f64 3/4 (-.f64 (/.f64 1 (log.f64 N)) (/.f64 1 (pow.f64 (log.f64 N) 2)))) (*.f64 9/8 (/.f64 1 (pow.f64 (log.f64 N) 2)))))) (sqrt.f64 (pow.f64 (log.f64 N) 3))) (*.f64 (*.f64 (pow.f64 N 3) (*.f64 (sqrt.f64 -1) (-.f64 (+.f64 (*.f64 -9/8 (/.f64 (-.f64 (/.f64 1 (log.f64 N)) (/.f64 1 (pow.f64 (log.f64 N) 2))) (log.f64 N))) (*.f64 1/4 (-.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 9/16 (/.f64 1 (pow.f64 (log.f64 N) 3)))))) (sqrt.f64 (pow.f64 (log.f64 N) 3))))))
(sqrt.f64 (/.f64 1 (pow.f64 N 3)))
(+.f64 (sqrt.f64 (/.f64 1 (pow.f64 N 3))) (*.f64 -3/4 (sqrt.f64 (/.f64 1 (pow.f64 N 5)))))
(+.f64 (sqrt.f64 (/.f64 1 (pow.f64 N 3))) (+.f64 (*.f64 -3/4 (sqrt.f64 (/.f64 1 (pow.f64 N 5)))) (*.f64 19/32 (sqrt.f64 (/.f64 1 (pow.f64 N 7))))))
(+.f64 (sqrt.f64 (/.f64 1 (pow.f64 N 3))) (+.f64 (*.f64 -3/4 (sqrt.f64 (/.f64 1 (pow.f64 N 5)))) (+.f64 (*.f64 -63/128 (sqrt.f64 (/.f64 1 (pow.f64 N 9)))) (*.f64 19/32 (sqrt.f64 (/.f64 1 (pow.f64 N 7)))))))
(exp.f64 (*.f64 3/2 (+.f64 (log.f64 -1) (log.f64 (/.f64 -1 N)))))
(+.f64 (exp.f64 (*.f64 3/2 (+.f64 (log.f64 -1) (log.f64 (/.f64 -1 N))))) (*.f64 -3/4 (/.f64 (exp.f64 (*.f64 3/2 (+.f64 (log.f64 -1) (log.f64 (/.f64 -1 N))))) N)))
(+.f64 (exp.f64 (*.f64 3/2 (+.f64 (log.f64 -1) (log.f64 (/.f64 -1 N))))) (+.f64 (*.f64 -3/4 (/.f64 (exp.f64 (*.f64 3/2 (+.f64 (log.f64 -1) (log.f64 (/.f64 -1 N))))) N)) (*.f64 19/32 (/.f64 (exp.f64 (*.f64 3/2 (+.f64 (log.f64 -1) (log.f64 (/.f64 -1 N))))) (pow.f64 N 2)))))
(+.f64 (exp.f64 (*.f64 3/2 (+.f64 (log.f64 -1) (log.f64 (/.f64 -1 N))))) (+.f64 (*.f64 -3/4 (/.f64 (exp.f64 (*.f64 3/2 (+.f64 (log.f64 -1) (log.f64 (/.f64 -1 N))))) N)) (+.f64 (*.f64 -63/128 (/.f64 (exp.f64 (*.f64 3/2 (+.f64 (log.f64 -1) (log.f64 (/.f64 -1 N))))) (pow.f64 N 3))) (*.f64 19/32 (/.f64 (exp.f64 (*.f64 3/2 (+.f64 (log.f64 -1) (log.f64 (/.f64 -1 N))))) (pow.f64 N 2))))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 1/3 (pow.f64 N -3)))) 1)
(*.f64 1/3 (pow.f64 N -3))
(*.f64 (*.f64 1/3 (pow.f64 N -3)) 1)
(*.f64 1 (*.f64 1/3 (pow.f64 N -3)))
(*.f64 (/.f64 (cbrt.f64 1/3) N) (pow.f64 (/.f64 (cbrt.f64 1/3) N) 2))
(*.f64 (pow.f64 (/.f64 (cbrt.f64 1/3) N) 2) (/.f64 (cbrt.f64 1/3) N))
(*.f64 (/.f64 (sqrt.f64 1/3) (pow.f64 N 3/2)) (/.f64 (sqrt.f64 1/3) (pow.f64 N 3/2)))
(*.f64 -1/3 (/.f64 1 (neg.f64 (pow.f64 N 3))))
(*.f64 (pow.f64 N -3) 1/3)
(pow.f64 (*.f64 1/3 (pow.f64 N -3)) 1)
(pow.f64 (/.f64 (cbrt.f64 1/3) N) 3)
(pow.f64 (/.f64 1/27 (pow.f64 (pow.f64 N 3) 3)) 1/3)
(pow.f64 (/.f64 (sqrt.f64 1/3) (pow.f64 N 3/2)) 2)
(pow.f64 (*.f64 (pow.f64 N 3) 3) -1)
(sqrt.f64 (/.f64 1/9 (pow.f64 N 6)))
(log.f64 (pow.f64 (exp.f64 1/3) (pow.f64 N -3)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 1/3 (pow.f64 N -3)))))
(cbrt.f64 (/.f64 1/27 (pow.f64 (pow.f64 N 3) 3)))
(expm1.f64 (log1p.f64 (*.f64 1/3 (pow.f64 N -3))))
(exp.f64 (log.f64 (*.f64 1/3 (pow.f64 N -3))))
(exp.f64 (*.f64 (log.f64 (*.f64 1/3 (pow.f64 N -3))) 1))
(log1p.f64 (expm1.f64 (*.f64 1/3 (pow.f64 N -3))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 1/4 (pow.f64 N -4)))) 1)
(*.f64 1/4 (pow.f64 N -4))
(*.f64 1/4 (*.f64 (pow.f64 N -2) (pow.f64 N -2)))
(*.f64 (*.f64 1/4 (pow.f64 N -4)) 1)
(*.f64 1/2 (*.f64 (pow.f64 N -2) (*.f64 1/2 (pow.f64 N -2))))
(*.f64 (*.f64 1/2 (pow.f64 N -2)) (*.f64 1/2 (pow.f64 N -2)))
(*.f64 1 (*.f64 1/4 (pow.f64 N -4)))
(*.f64 (cbrt.f64 (*.f64 1/4 (pow.f64 N -4))) (cbrt.f64 (/.f64 1/16 (pow.f64 N 8))))
(*.f64 (cbrt.f64 (*.f64 1/4 (pow.f64 N -4))) (*.f64 (cbrt.f64 (*.f64 1/2 (pow.f64 N -2))) (*.f64 1/2 (pow.f64 N -2))))
(*.f64 (cbrt.f64 (/.f64 1/16 (pow.f64 N 8))) (cbrt.f64 (*.f64 1/4 (pow.f64 N -4))))
(*.f64 (/.f64 (sqrt.f64 1/2) N) (*.f64 (/.f64 (sqrt.f64 1/2) N) (*.f64 1/2 (pow.f64 N -2))))
(*.f64 -1/4 (/.f64 1 (neg.f64 (pow.f64 N 4))))
(*.f64 (pow.f64 N -4) 1/4)
(*.f64 (*.f64 (*.f64 1/2 (pow.f64 N -2)) (/.f64 (sqrt.f64 1/2) N)) (/.f64 (sqrt.f64 1/2) N))
(*.f64 (*.f64 (*.f64 1/2 (pow.f64 N -2)) 1/2) (pow.f64 N -2))
(*.f64 (*.f64 (*.f64 1/2 (pow.f64 N -2)) (cbrt.f64 (*.f64 1/4 (pow.f64 N -4)))) (cbrt.f64 (*.f64 1/2 (pow.f64 N -2))))
(pow.f64 (*.f64 1/4 (pow.f64 N -4)) 1)
(pow.f64 (*.f64 1/2 (pow.f64 N -2)) 2)
(pow.f64 (cbrt.f64 (*.f64 1/4 (pow.f64 N -4))) 3)
(pow.f64 (pow.f64 (*.f64 1/4 (pow.f64 N -4)) 3) 1/3)
(pow.f64 (*.f64 (pow.f64 N 4) 4) -1)
(sqrt.f64 (/.f64 1/16 (pow.f64 N 8)))
(log.f64 (pow.f64 (exp.f64 1/4) (pow.f64 N -4)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 1/4 (pow.f64 N -4)))))
(cbrt.f64 (pow.f64 (*.f64 1/4 (pow.f64 N -4)) 3))
(expm1.f64 (log1p.f64 (*.f64 1/4 (pow.f64 N -4))))
(exp.f64 (log.f64 (*.f64 1/4 (pow.f64 N -4))))
(exp.f64 (*.f64 (log.f64 (*.f64 1/4 (pow.f64 N -4))) 1))
(log1p.f64 (expm1.f64 (*.f64 1/4 (pow.f64 N -4))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 1/2 (pow.f64 N -2)))) 1)
(*.f64 1/2 (pow.f64 N -2))
(*.f64 1/2 (sqrt.f64 (pow.f64 N -4)))
(*.f64 (*.f64 1/2 (pow.f64 N -2)) 1)
(*.f64 1 (*.f64 1/2 (pow.f64 N -2)))
(*.f64 (cbrt.f64 (*.f64 1/2 (pow.f64 N -2))) (cbrt.f64 (*.f64 1/4 (pow.f64 N -4))))
(*.f64 (cbrt.f64 (*.f64 1/4 (pow.f64 N -4))) (cbrt.f64 (*.f64 1/2 (pow.f64 N -2))))
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(/.f64 (-.f64 (pow.f64 (log1p.f64 N) 2) (*.f64 (neg.f64 (log.f64 N)) (neg.f64 (log.f64 N)))) (-.f64 (log1p.f64 N) (neg.f64 (log.f64 N))))
(pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 1)
(pow.f64 (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 3/2) 2/3)
(pow.f64 (sqrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))) 2)
(pow.f64 (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 3) 1/3)
(pow.f64 (cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))) 3)
(pow.f64 (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 2) 1/2)
(sqrt.f64 (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 2))
(log.f64 (/.f64 (+.f64 N 1) N))
(log.f64 (+.f64 1 (-.f64 (/.f64 (+.f64 N 1) N) 1)))
(cbrt.f64 (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 3))
(expm1.f64 (log1p.f64 (-.f64 (log1p.f64 N) (log.f64 N))))
(exp.f64 (log.f64 (-.f64 (log1p.f64 N) (log.f64 N))))
(exp.f64 (*.f64 (log.f64 (-.f64 (log1p.f64 N) (log.f64 N))) 1))
(log1p.f64 (-.f64 (/.f64 (+.f64 N 1) N) 1))
(fma.f64 1 (log1p.f64 N) (neg.f64 (log.f64 N)))
(fma.f64 (cbrt.f64 (pow.f64 (log1p.f64 N) 2)) (cbrt.f64 (log1p.f64 N)) (neg.f64 (log.f64 N)))
(fma.f64 (sqrt.f64 (log1p.f64 N)) (sqrt.f64 (log1p.f64 N)) (neg.f64 (log.f64 N)))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 3/2))) 1)
(*.f64 1 (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 3/2))
(*.f64 (-.f64 (log1p.f64 N) (log.f64 N)) (sqrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))))
(*.f64 (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 3/2) 1)
(*.f64 (sqrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))) (-.f64 (log1p.f64 N) (log.f64 N)))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))) 2) (*.f64 (cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))) (sqrt.f64 (-.f64 (log1p.f64 N) (log.f64 N)))))
(*.f64 (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 3/4) (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 3/4))
(*.f64 (pow.f64 1 3/2) (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 3/2))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))) 2) 3/2) (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))) 3/2))
(*.f64 (*.f64 (-.f64 (log1p.f64 N) (log.f64 N)) (cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N)))) (cbrt.f64 (sqrt.f64 (-.f64 (log1p.f64 N) (log.f64 N)))))
(*.f64 (*.f64 (-.f64 (log1p.f64 N) (log.f64 N)) (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 1/4)) (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 1/4))
(/.f64 (*.f64 (-.f64 (pow.f64 (log1p.f64 N) 3) (pow.f64 (log.f64 N) 3)) (sqrt.f64 (-.f64 (log1p.f64 N) (log.f64 N)))) (+.f64 (pow.f64 (log1p.f64 N) 2) (*.f64 (log.f64 N) (+.f64 (log1p.f64 N) (log.f64 N)))))
(/.f64 (*.f64 (-.f64 (pow.f64 (log1p.f64 N) 2) (pow.f64 (log.f64 N) 2)) (sqrt.f64 (-.f64 (log1p.f64 N) (log.f64 N)))) (+.f64 (log1p.f64 N) (log.f64 N)))
(sqrt.f64 (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 3))
(log.f64 (exp.f64 (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 3/2)))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 3/2))))
(cbrt.f64 (pow.f64 (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 3/2) 3))
(expm1.f64 (log1p.f64 (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 3/2)))
(exp.f64 (*.f64 3/2 (log.f64 (-.f64 (log1p.f64 N) (log.f64 N)))))
(exp.f64 (*.f64 (*.f64 3/2 (log.f64 (-.f64 (log1p.f64 N) (log.f64 N)))) 1))
(log1p.f64 (expm1.f64 (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 3/2)))
Outputs
(/.f64 -1/4 (pow.f64 N 4))
(neg.f64 (+.f64 (*.f64 1/2 (/.f64 1 (pow.f64 N 2))) (*.f64 1/4 (/.f64 1 (pow.f64 N 4)))))
(neg.f64 (+.f64 (/.f64 1/2 (pow.f64 N 2)) (/.f64 1/4 (pow.f64 N 4))))
(-.f64 (/.f64 -1/2 (pow.f64 N 2)) (/.f64 1/4 (pow.f64 N 4)))
(-.f64 (/.f64 1 N) (+.f64 (*.f64 1/2 (/.f64 1 (pow.f64 N 2))) (*.f64 1/4 (/.f64 1 (pow.f64 N 4)))))
(-.f64 (-.f64 (/.f64 1 N) (/.f64 1/4 (pow.f64 N 4))) (/.f64 1/2 (pow.f64 N 2)))
(+.f64 (/.f64 1 N) (-.f64 (/.f64 -1/2 (pow.f64 N 2)) (/.f64 1/4 (pow.f64 N 4))))
(-.f64 (/.f64 1 N) (+.f64 (*.f64 1/2 (/.f64 1 (pow.f64 N 2))) (*.f64 1/4 (/.f64 1 (pow.f64 N 4)))))
(-.f64 (-.f64 (/.f64 1 N) (/.f64 1/4 (pow.f64 N 4))) (/.f64 1/2 (pow.f64 N 2)))
(+.f64 (/.f64 1 N) (-.f64 (/.f64 -1/2 (pow.f64 N 2)) (/.f64 1/4 (pow.f64 N 4))))
(/.f64 1 N)
(-.f64 (/.f64 1 N) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (/.f64 1 N) (/.f64 1/2 (pow.f64 N 2)))
(-.f64 (/.f64 1 N) (+.f64 (*.f64 1/4 (/.f64 1 (pow.f64 N 4))) (*.f64 1/2 (/.f64 1 (pow.f64 N 2)))))
(-.f64 (-.f64 (/.f64 1 N) (/.f64 1/4 (pow.f64 N 4))) (/.f64 1/2 (pow.f64 N 2)))
(+.f64 (/.f64 1 N) (-.f64 (/.f64 -1/2 (pow.f64 N 2)) (/.f64 1/4 (pow.f64 N 4))))
(-.f64 (/.f64 1 N) (+.f64 (*.f64 1/4 (/.f64 1 (pow.f64 N 4))) (*.f64 1/2 (/.f64 1 (pow.f64 N 2)))))
(-.f64 (-.f64 (/.f64 1 N) (/.f64 1/4 (pow.f64 N 4))) (/.f64 1/2 (pow.f64 N 2)))
(+.f64 (/.f64 1 N) (-.f64 (/.f64 -1/2 (pow.f64 N 2)) (/.f64 1/4 (pow.f64 N 4))))
(/.f64 1 N)
(-.f64 (/.f64 1 N) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (/.f64 1 N) (/.f64 1/2 (pow.f64 N 2)))
(-.f64 (/.f64 1 N) (+.f64 (*.f64 1/4 (/.f64 1 (pow.f64 N 4))) (*.f64 1/2 (/.f64 1 (pow.f64 N 2)))))
(-.f64 (-.f64 (/.f64 1 N) (/.f64 1/4 (pow.f64 N 4))) (/.f64 1/2 (pow.f64 N 2)))
(+.f64 (/.f64 1 N) (-.f64 (/.f64 -1/2 (pow.f64 N 2)) (/.f64 1/4 (pow.f64 N 4))))
(-.f64 (/.f64 1 N) (+.f64 (*.f64 1/4 (/.f64 1 (pow.f64 N 4))) (*.f64 1/2 (/.f64 1 (pow.f64 N 2)))))
(-.f64 (-.f64 (/.f64 1 N) (/.f64 1/4 (pow.f64 N 4))) (/.f64 1/2 (pow.f64 N 2)))
(+.f64 (/.f64 1 N) (-.f64 (/.f64 -1/2 (pow.f64 N 2)) (/.f64 1/4 (pow.f64 N 4))))
(/.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 (/.f64 1 (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 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 (/.f64 1 (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 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 (/.f64 1 (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 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 N) (-.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 1/2 (pow.f64 N 2))))
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (-.f64 (/.f64 1 N) (/.f64 1/2 (pow.f64 N 2))))
(-.f64 (+.f64 (/.f64 1 N) (*.f64 1/3 (/.f64 1 (pow.f64 N 3)))) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(+.f64 (/.f64 1 N) (-.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 1/2 (pow.f64 N 2))))
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (-.f64 (/.f64 1 N) (/.f64 1/2 (pow.f64 N 2))))
(/.f64 1 N)
(-.f64 (/.f64 1 N) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (/.f64 1 N) (/.f64 1/2 (pow.f64 N 2)))
(-.f64 (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 N 3))) (/.f64 1 N)) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(+.f64 (/.f64 1 N) (-.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 1/2 (pow.f64 N 2))))
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (-.f64 (/.f64 1 N) (/.f64 1/2 (pow.f64 N 2))))
(-.f64 (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 N 3))) (/.f64 1 N)) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(+.f64 (/.f64 1 N) (-.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 1/2 (pow.f64 N 2))))
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (-.f64 (/.f64 1 N) (/.f64 1/2 (pow.f64 N 2))))
(/.f64 1 N)
(-.f64 (/.f64 1 N) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (/.f64 1 N) (/.f64 1/2 (pow.f64 N 2)))
(-.f64 (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 N 3))) (/.f64 1 N)) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(+.f64 (/.f64 1 N) (-.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 1/2 (pow.f64 N 2))))
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (-.f64 (/.f64 1 N) (/.f64 1/2 (pow.f64 N 2))))
(-.f64 (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 N 3))) (/.f64 1 N)) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(+.f64 (/.f64 1 N) (-.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 1/2 (pow.f64 N 2))))
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (-.f64 (/.f64 1 N) (/.f64 1/2 (pow.f64 N 2))))
(*.f64 (log.f64 N) (pow.f64 (sqrt.f64 -1) 2))
(neg.f64 (log.f64 N))
(+.f64 N (*.f64 (log.f64 N) (pow.f64 (sqrt.f64 -1) 2)))
(-.f64 N (log.f64 N))
(+.f64 N (+.f64 (*.f64 (log.f64 N) (pow.f64 (sqrt.f64 -1) 2)) (*.f64 (pow.f64 N 2) (+.f64 (*.f64 -1 (+.f64 1/2 (pow.f64 (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (log.f64 N))) (/.f64 1 (sqrt.f64 -1)))) 2))) (*.f64 1/4 (/.f64 1 (*.f64 (log.f64 N) (pow.f64 (sqrt.f64 -1) 2))))))))
(+.f64 N (fma.f64 (log.f64 N) (pow.f64 (sqrt.f64 -1) 2) (*.f64 (pow.f64 N 2) (fma.f64 -1 (+.f64 1/2 (pow.f64 (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (log.f64 N))) (/.f64 1 (sqrt.f64 -1)))) 2)) (/.f64 1/4 (*.f64 (log.f64 N) (pow.f64 (sqrt.f64 -1) 2)))))))
(+.f64 N (fma.f64 (pow.f64 N 2) (-.f64 (/.f64 1/4 (neg.f64 (log.f64 N))) (+.f64 1/2 (pow.f64 (*.f64 1/2 (/.f64 (sqrt.f64 (/.f64 1 (log.f64 N))) (sqrt.f64 -1))) 2))) (neg.f64 (log.f64 N))))
(+.f64 N (+.f64 (*.f64 1/3 (pow.f64 N 3)) (+.f64 (*.f64 (log.f64 N) (pow.f64 (sqrt.f64 -1) 2)) (*.f64 (pow.f64 N 2) (+.f64 (*.f64 -1 (+.f64 1/2 (pow.f64 (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (log.f64 N))) (/.f64 1 (sqrt.f64 -1)))) 2))) (*.f64 1/4 (/.f64 1 (*.f64 (log.f64 N) (pow.f64 (sqrt.f64 -1) 2)))))))))
(+.f64 N (fma.f64 1/3 (pow.f64 N 3) (fma.f64 (log.f64 N) (pow.f64 (sqrt.f64 -1) 2) (*.f64 (pow.f64 N 2) (fma.f64 -1 (+.f64 1/2 (pow.f64 (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (log.f64 N))) (/.f64 1 (sqrt.f64 -1)))) 2)) (/.f64 1/4 (*.f64 (log.f64 N) (pow.f64 (sqrt.f64 -1) 2))))))))
(+.f64 N (fma.f64 1/3 (pow.f64 N 3) (fma.f64 (pow.f64 N 2) (-.f64 (/.f64 1/4 (neg.f64 (log.f64 N))) (+.f64 1/2 (pow.f64 (*.f64 1/2 (/.f64 (sqrt.f64 (/.f64 1 (log.f64 N))) (sqrt.f64 -1))) 2))) (neg.f64 (log.f64 N)))))
(*.f64 (sqrt.f64 (log.f64 N)) (sqrt.f64 -1))
(*.f64 (sqrt.f64 -1) (sqrt.f64 (log.f64 N)))
(+.f64 (*.f64 1/2 (*.f64 (/.f64 N (sqrt.f64 -1)) (sqrt.f64 (/.f64 1 (log.f64 N))))) (*.f64 (sqrt.f64 (log.f64 N)) (sqrt.f64 -1)))
(fma.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (log.f64 N))) (/.f64 N (sqrt.f64 -1))) (*.f64 (sqrt.f64 -1) (sqrt.f64 (log.f64 N))))
(+.f64 (*.f64 -1/2 (*.f64 (/.f64 (*.f64 (pow.f64 N 2) (+.f64 1/2 (pow.f64 (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (log.f64 N))) (/.f64 1 (sqrt.f64 -1)))) 2))) (sqrt.f64 -1)) (sqrt.f64 (/.f64 1 (log.f64 N))))) (+.f64 (*.f64 1/2 (*.f64 (/.f64 N (sqrt.f64 -1)) (sqrt.f64 (/.f64 1 (log.f64 N))))) (*.f64 (sqrt.f64 (log.f64 N)) (sqrt.f64 -1))))
(fma.f64 -1/2 (*.f64 (sqrt.f64 (/.f64 1 (log.f64 N))) (/.f64 (pow.f64 N 2) (/.f64 (sqrt.f64 -1) (+.f64 1/2 (pow.f64 (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (log.f64 N))) (/.f64 1 (sqrt.f64 -1)))) 2))))) (fma.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (log.f64 N))) (/.f64 N (sqrt.f64 -1))) (*.f64 (sqrt.f64 -1) (sqrt.f64 (log.f64 N)))))
(+.f64 (*.f64 (sqrt.f64 (/.f64 1 (log.f64 N))) (+.f64 (*.f64 -1/2 (/.f64 (pow.f64 N 2) (/.f64 (sqrt.f64 -1) (+.f64 1/2 (pow.f64 (*.f64 1/2 (/.f64 (sqrt.f64 (/.f64 1 (log.f64 N))) (sqrt.f64 -1))) 2))))) (*.f64 1/2 (/.f64 N (sqrt.f64 -1))))) (*.f64 (sqrt.f64 -1) (sqrt.f64 (log.f64 N))))
(+.f64 (*.f64 -1/2 (*.f64 (/.f64 (*.f64 (pow.f64 N 2) (+.f64 1/2 (pow.f64 (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (log.f64 N))) (/.f64 1 (sqrt.f64 -1)))) 2))) (sqrt.f64 -1)) (sqrt.f64 (/.f64 1 (log.f64 N))))) (+.f64 (*.f64 1/2 (*.f64 (/.f64 N (sqrt.f64 -1)) (sqrt.f64 (/.f64 1 (log.f64 N))))) (+.f64 (*.f64 1/2 (*.f64 (/.f64 (*.f64 (pow.f64 N 3) (-.f64 1/3 (*.f64 -1/2 (/.f64 (+.f64 1/2 (pow.f64 (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (log.f64 N))) (/.f64 1 (sqrt.f64 -1)))) 2)) (*.f64 (log.f64 N) (pow.f64 (sqrt.f64 -1) 2)))))) (sqrt.f64 -1)) (sqrt.f64 (/.f64 1 (log.f64 N))))) (*.f64 (sqrt.f64 (log.f64 N)) (sqrt.f64 -1)))))
(fma.f64 -1/2 (*.f64 (sqrt.f64 (/.f64 1 (log.f64 N))) (/.f64 (pow.f64 N 2) (/.f64 (sqrt.f64 -1) (+.f64 1/2 (pow.f64 (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (log.f64 N))) (/.f64 1 (sqrt.f64 -1)))) 2))))) (fma.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (log.f64 N))) (/.f64 N (sqrt.f64 -1))) (fma.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (log.f64 N))) (/.f64 (*.f64 (pow.f64 N 3) (-.f64 1/3 (*.f64 -1/2 (/.f64 (+.f64 1/2 (pow.f64 (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (log.f64 N))) (/.f64 1 (sqrt.f64 -1)))) 2)) (*.f64 (log.f64 N) (pow.f64 (sqrt.f64 -1) 2)))))) (sqrt.f64 -1))) (*.f64 (sqrt.f64 -1) (sqrt.f64 (log.f64 N))))))
(+.f64 (*.f64 (sqrt.f64 (/.f64 1 (log.f64 N))) (+.f64 (*.f64 -1/2 (/.f64 (pow.f64 N 2) (/.f64 (sqrt.f64 -1) (+.f64 1/2 (pow.f64 (*.f64 1/2 (/.f64 (sqrt.f64 (/.f64 1 (log.f64 N))) (sqrt.f64 -1))) 2))))) (*.f64 1/2 (/.f64 N (sqrt.f64 -1))))) (fma.f64 1/2 (/.f64 (*.f64 (*.f64 (pow.f64 N 3) (-.f64 1/3 (*.f64 1/2 (/.f64 (+.f64 1/2 (pow.f64 (*.f64 1/2 (/.f64 (sqrt.f64 (/.f64 1 (log.f64 N))) (sqrt.f64 -1))) 2)) (log.f64 N))))) (sqrt.f64 (/.f64 1 (log.f64 N)))) (sqrt.f64 -1)) (*.f64 (sqrt.f64 -1) (sqrt.f64 (log.f64 N)))))
(*.f64 (sqrt.f64 (log.f64 N)) (sqrt.f64 -1))
(*.f64 (sqrt.f64 -1) (sqrt.f64 (log.f64 N)))
(+.f64 (*.f64 1/2 (*.f64 (/.f64 N (sqrt.f64 -1)) (sqrt.f64 (/.f64 1 (log.f64 N))))) (*.f64 (sqrt.f64 (log.f64 N)) (sqrt.f64 -1)))
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(sqrt.f64 (-.f64 (log1p.f64 N) (log.f64 N)))
(log1p.f64 (expm1.f64 (sqrt.f64 (-.f64 (log1p.f64 N) (log.f64 N)))))
(sqrt.f64 (-.f64 (log1p.f64 N) (log.f64 N)))
(+.f64 (log1p.f64 N) (neg.f64 (log.f64 N)))
(-.f64 (log1p.f64 N) (log.f64 N))
(+.f64 (log1p.f64 N) (*.f64 (neg.f64 (log.f64 N)) 1))
(-.f64 (log1p.f64 N) (log.f64 N))
(+.f64 (-.f64 (log1p.f64 N) (log.f64 N)) (fma.f64 (neg.f64 (log.f64 N)) 1 (log.f64 N)))
(+.f64 (-.f64 (log1p.f64 N) (log.f64 N)) (+.f64 (neg.f64 (log.f64 N)) (log.f64 N)))
(+.f64 (-.f64 (log1p.f64 N) (log.f64 N)) (*.f64 0 (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)) (fma.f64 (neg.f64 (sqrt.f64 (log.f64 N))) (sqrt.f64 (log.f64 N)) (log.f64 N)))
(+.f64 (neg.f64 (log.f64 N)) (log1p.f64 N))
(-.f64 (log1p.f64 N) (log.f64 N))
(-.f64 (log1p.f64 N) (log.f64 N))
(-.f64 (exp.f64 (log1p.f64 (-.f64 (log1p.f64 N) (log.f64 N)))) 1)
(-.f64 (log1p.f64 N) (log.f64 N))
(-.f64 (/.f64 (pow.f64 (log1p.f64 N) 3) (+.f64 (pow.f64 (log1p.f64 N) 2) (*.f64 (log.f64 N) (+.f64 (log1p.f64 N) (log.f64 N))))) (/.f64 (pow.f64 (log.f64 N) 3) (+.f64 (pow.f64 (log1p.f64 N) 2) (*.f64 (log.f64 N) (+.f64 (log1p.f64 N) (log.f64 N))))))
(/.f64 (-.f64 (pow.f64 (log1p.f64 N) 3) (pow.f64 (log.f64 N) 3)) (+.f64 (pow.f64 (log1p.f64 N) 2) (*.f64 (log.f64 N) (+.f64 (log.f64 N) (log1p.f64 N)))))
(/.f64 (-.f64 (pow.f64 (log1p.f64 N) 3) (pow.f64 (log.f64 N) 3)) (fma.f64 (log.f64 N) (+.f64 (log.f64 N) (log1p.f64 N)) (pow.f64 (log1p.f64 N) 2)))
(-.f64 (/.f64 (pow.f64 (log1p.f64 N) 2) (+.f64 (log1p.f64 N) (log.f64 N))) (/.f64 (pow.f64 (log.f64 N) 2) (+.f64 (log1p.f64 N) (log.f64 N))))
(/.f64 (-.f64 (pow.f64 (log1p.f64 N) 2) (pow.f64 (log.f64 N) 2)) (+.f64 (log.f64 N) (log1p.f64 N)))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (log1p.f64 N) 2) (*.f64 (log.f64 N) (+.f64 (log1p.f64 N) (log.f64 N)))) (-.f64 (pow.f64 (log1p.f64 N) 3) (pow.f64 (log.f64 N) 3))))
(/.f64 (-.f64 (pow.f64 (log1p.f64 N) 3) (pow.f64 (log.f64 N) 3)) (+.f64 (pow.f64 (log1p.f64 N) 2) (*.f64 (log.f64 N) (+.f64 (log.f64 N) (log1p.f64 N)))))
(/.f64 (-.f64 (pow.f64 (log1p.f64 N) 3) (pow.f64 (log.f64 N) 3)) (fma.f64 (log.f64 N) (+.f64 (log.f64 N) (log1p.f64 N)) (pow.f64 (log1p.f64 N) 2)))
(/.f64 1 (/.f64 (+.f64 (log1p.f64 N) (log.f64 N)) (-.f64 (pow.f64 (log1p.f64 N) 2) (pow.f64 (log.f64 N) 2))))
(/.f64 (-.f64 (pow.f64 (log1p.f64 N) 2) (pow.f64 (log.f64 N) 2)) (+.f64 (log.f64 N) (log1p.f64 N)))
(/.f64 (-.f64 (pow.f64 (log1p.f64 N) 3) (pow.f64 (log.f64 N) 3)) (+.f64 (pow.f64 (log1p.f64 N) 2) (*.f64 (log.f64 N) (+.f64 (log1p.f64 N) (log.f64 N)))))
(/.f64 (-.f64 (pow.f64 (log1p.f64 N) 3) (pow.f64 (log.f64 N) 3)) (+.f64 (pow.f64 (log1p.f64 N) 2) (*.f64 (log.f64 N) (+.f64 (log.f64 N) (log1p.f64 N)))))
(/.f64 (-.f64 (pow.f64 (log1p.f64 N) 3) (pow.f64 (log.f64 N) 3)) (fma.f64 (log.f64 N) (+.f64 (log.f64 N) (log1p.f64 N)) (pow.f64 (log1p.f64 N) 2)))
(/.f64 (-.f64 (pow.f64 (log1p.f64 N) 2) (pow.f64 (log.f64 N) 2)) (+.f64 (log1p.f64 N) (log.f64 N)))
(/.f64 (-.f64 (pow.f64 (log1p.f64 N) 2) (pow.f64 (log.f64 N) 2)) (+.f64 (log.f64 N) (log1p.f64 N)))
(/.f64 (neg.f64 (-.f64 (pow.f64 (log1p.f64 N) 3) (pow.f64 (log.f64 N) 3))) (neg.f64 (+.f64 (pow.f64 (log1p.f64 N) 2) (*.f64 (log.f64 N) (+.f64 (log1p.f64 N) (log.f64 N))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (log1p.f64 N) 3) (pow.f64 (log.f64 N) 3))) (neg.f64 (+.f64 (pow.f64 (log1p.f64 N) 2) (*.f64 (log.f64 N) (+.f64 (log.f64 N) (log1p.f64 N))))))
(*.f64 1 (/.f64 (-.f64 (pow.f64 (log1p.f64 N) 3) (pow.f64 (log.f64 N) 3)) (fma.f64 (log.f64 N) (+.f64 (log.f64 N) (log1p.f64 N)) (pow.f64 (log1p.f64 N) 2))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (log1p.f64 N) 2) (pow.f64 (log.f64 N) 2))) (neg.f64 (+.f64 (log1p.f64 N) (log.f64 N))))
(neg.f64 (/.f64 (-.f64 (pow.f64 (log1p.f64 N) 2) (pow.f64 (log.f64 N) 2)) (neg.f64 (+.f64 (log.f64 N) (log1p.f64 N)))))
(*.f64 1 (/.f64 (-.f64 (pow.f64 (log1p.f64 N) 2) (pow.f64 (log.f64 N) 2)) (+.f64 (log.f64 N) (log1p.f64 N))))
(/.f64 (+.f64 (pow.f64 (log1p.f64 N) 3) (pow.f64 (neg.f64 (log.f64 N)) 3)) (+.f64 (pow.f64 (log1p.f64 N) 2) (-.f64 (*.f64 (neg.f64 (log.f64 N)) (neg.f64 (log.f64 N))) (*.f64 (log1p.f64 N) (neg.f64 (log.f64 N))))))
(/.f64 (-.f64 (pow.f64 (log1p.f64 N) 3) (pow.f64 (log.f64 N) 3)) (+.f64 (pow.f64 (log1p.f64 N) 2) (*.f64 (log.f64 N) (+.f64 (log.f64 N) (log1p.f64 N)))))
(/.f64 (-.f64 (pow.f64 (log1p.f64 N) 3) (pow.f64 (log.f64 N) 3)) (fma.f64 (log.f64 N) (+.f64 (log.f64 N) (log1p.f64 N)) (pow.f64 (log1p.f64 N) 2)))
(/.f64 (-.f64 (pow.f64 (log1p.f64 N) 2) (*.f64 (neg.f64 (log.f64 N)) (neg.f64 (log.f64 N)))) (-.f64 (log1p.f64 N) (neg.f64 (log.f64 N))))
(/.f64 (-.f64 (pow.f64 (log1p.f64 N) 2) (pow.f64 (log.f64 N) 2)) (+.f64 (log.f64 N) (log1p.f64 N)))
(pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 1)
(-.f64 (log1p.f64 N) (log.f64 N))
(pow.f64 (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 3/2) 2/3)
(*.f64 (cbrt.f64 (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 3/2)) (cbrt.f64 (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 3/2)))
(pow.f64 (sqrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))) 2)
(-.f64 (log1p.f64 N) (log.f64 N))
(pow.f64 (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 3) 1/3)
(-.f64 (log1p.f64 N) (log.f64 N))
(pow.f64 (cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))) 3)
(-.f64 (log1p.f64 N) (log.f64 N))
(pow.f64 (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 2) 1/2)
(sqrt.f64 (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 2))
(fabs.f64 (-.f64 (log1p.f64 N) (log.f64 N)))
(sqrt.f64 (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 2))
(fabs.f64 (-.f64 (log1p.f64 N) (log.f64 N)))
(log.f64 (/.f64 (+.f64 N 1) N))
(-.f64 (log1p.f64 N) (log.f64 N))
(log.f64 (+.f64 1 (-.f64 (/.f64 (+.f64 N 1) N) 1)))
(log1p.f64 (+.f64 (/.f64 (+.f64 N 1) N) -1))
(cbrt.f64 (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 3))
(-.f64 (log1p.f64 N) (log.f64 N))
(expm1.f64 (log1p.f64 (-.f64 (log1p.f64 N) (log.f64 N))))
(-.f64 (log1p.f64 N) (log.f64 N))
(exp.f64 (log.f64 (-.f64 (log1p.f64 N) (log.f64 N))))
(-.f64 (log1p.f64 N) (log.f64 N))
(exp.f64 (*.f64 (log.f64 (-.f64 (log1p.f64 N) (log.f64 N))) 1))
(-.f64 (log1p.f64 N) (log.f64 N))
(log1p.f64 (-.f64 (/.f64 (+.f64 N 1) N) 1))
(log1p.f64 (+.f64 (/.f64 (+.f64 N 1) N) -1))
(fma.f64 1 (log1p.f64 N) (neg.f64 (log.f64 N)))
(-.f64 (log1p.f64 N) (log.f64 N))
(fma.f64 (cbrt.f64 (pow.f64 (log1p.f64 N) 2)) (cbrt.f64 (log1p.f64 N)) (neg.f64 (log.f64 N)))
(fma.f64 (sqrt.f64 (log1p.f64 N)) (sqrt.f64 (log1p.f64 N)) (neg.f64 (log.f64 N)))
(-.f64 (log1p.f64 N) (log.f64 N))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 3/2))) 1)
(pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 3/2)
(*.f64 1 (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 3/2))
(pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 3/2)
(*.f64 (-.f64 (log1p.f64 N) (log.f64 N)) (sqrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))))
(pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 3/2)
(*.f64 (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 3/2) 1)
(pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 3/2)
(*.f64 (sqrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))) (-.f64 (log1p.f64 N) (log.f64 N)))
(pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 3/2)
(*.f64 (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))) 2) (*.f64 (cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))) (sqrt.f64 (-.f64 (log1p.f64 N) (log.f64 N)))))
(pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 3/2)
(*.f64 (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 3/4) (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 3/4))
(pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 3/2)
(*.f64 (pow.f64 1 3/2) (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 3/2))
(pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 3/2)
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))) 2) 3/2) (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))) 3/2))
(*.f64 (*.f64 (-.f64 (log1p.f64 N) (log.f64 N)) (cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N)))) (cbrt.f64 (sqrt.f64 (-.f64 (log1p.f64 N) (log.f64 N)))))
(*.f64 (-.f64 (log1p.f64 N) (log.f64 N)) (*.f64 (cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))) (cbrt.f64 (sqrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))))))
(*.f64 (cbrt.f64 (sqrt.f64 (-.f64 (log1p.f64 N) (log.f64 N)))) (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))) 4))
(*.f64 (*.f64 (-.f64 (log1p.f64 N) (log.f64 N)) (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 1/4)) (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 1/4))
(pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 3/2)
(/.f64 (*.f64 (-.f64 (pow.f64 (log1p.f64 N) 3) (pow.f64 (log.f64 N) 3)) (sqrt.f64 (-.f64 (log1p.f64 N) (log.f64 N)))) (+.f64 (pow.f64 (log1p.f64 N) 2) (*.f64 (log.f64 N) (+.f64 (log1p.f64 N) (log.f64 N)))))
(/.f64 (-.f64 (pow.f64 (log1p.f64 N) 3) (pow.f64 (log.f64 N) 3)) (/.f64 (+.f64 (pow.f64 (log1p.f64 N) 2) (*.f64 (log.f64 N) (+.f64 (log.f64 N) (log1p.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 (fma.f64 (log.f64 N) (+.f64 (log.f64 N) (log1p.f64 N)) (pow.f64 (log1p.f64 N) 2)) (sqrt.f64 (-.f64 (log1p.f64 N) (log.f64 N)))))
(/.f64 (*.f64 (-.f64 (pow.f64 (log1p.f64 N) 2) (pow.f64 (log.f64 N) 2)) (sqrt.f64 (-.f64 (log1p.f64 N) (log.f64 N)))) (+.f64 (log1p.f64 N) (log.f64 N)))
(/.f64 (*.f64 (sqrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))) (-.f64 (pow.f64 (log1p.f64 N) 2) (pow.f64 (log.f64 N) 2))) (+.f64 (log.f64 N) (log1p.f64 N)))
(sqrt.f64 (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 3))
(fabs.f64 (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 3/2))
(log.f64 (exp.f64 (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 3/2)))
(pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 3/2)
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 3/2))))
(pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 3/2)
(cbrt.f64 (pow.f64 (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 3/2) 3))
(pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 3/2)
(expm1.f64 (log1p.f64 (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 3/2)))
(pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 3/2)
(exp.f64 (*.f64 3/2 (log.f64 (-.f64 (log1p.f64 N) (log.f64 N)))))
(pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 3/2)
(exp.f64 (*.f64 (*.f64 3/2 (log.f64 (-.f64 (log1p.f64 N) (log.f64 N)))) 1))
(pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 3/2)
(log1p.f64 (expm1.f64 (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 3/2)))
(pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 3/2)

eval1.4s (11.5%)

Compiler

Compiled 44180 to 26512 computations (40% saved)

prune412.0ms (3.3%)

Pruning

37 alts after pruning (32 fresh and 5 done)

PrunedKeptTotal
New1733231756
Fresh2911
Picked145
Done011
Total1736371773
Accuracy
99.8%
Counts
1773 → 37
Alt Table
Click to see full alt table
StatusAccuracyProgram
27.3%
(fma.f64 (sqrt.f64 (log1p.f64 N)) (sqrt.f64 (log1p.f64 N)) (neg.f64 (log.f64 N)))
28.1%
(fma.f64 (cbrt.f64 (pow.f64 (log1p.f64 N) 2)) (cbrt.f64 (log1p.f64 N)) (neg.f64 (log.f64 N)))
26.3%
(pow.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (-.f64 (log1p.f64 N) (log.f64 N)))) 3) 2)
26.4%
(pow.f64 (-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))))) 1) 2)
26.4%
(pow.f64 (sqrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))) 2)
94.5%
(pow.f64 (sqrt.f64 (+.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)))))) 2)
29.4%
(pow.f64 (sqrt.f64 (log.f64 (/.f64 (+.f64 N 1) N))) 2)
26.4%
(pow.f64 (log.f64 (exp.f64 (sqrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))))) 2)
26.3%
(pow.f64 (cbrt.f64 (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 3/2)) 2)
93.6%
(/.f64 (-.f64 (*.f64 (pow.f64 N 3) -1/3) (*.f64 (pow.f64 N 4) (+.f64 N -1/2))) (neg.f64 (pow.f64 N 6)))
82.6%
(/.f64 1 N)
91.2%
(-.f64 (/.f64 1 N) (/.f64 1/2 (pow.f64 N 2)))
26.3%
(-.f64 (log1p.f64 N) (log.f64 N))
92.3%
(+.f64 (pow.f64 (/.f64 (cbrt.f64 (*.f64 N (+.f64 N -1/2))) N) 3) (*.f64 1/3 (pow.f64 N -3)))
93.7%
(+.f64 (/.f64 N (/.f64 (pow.f64 N 3) (+.f64 N -1/2))) (*.f64 1/3 (pow.f64 N -3)))
94.5%
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (fma.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)))) (neg.f64 (*.f64 1/4 (pow.f64 N -4)))))
89.7%
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (pow.f64 (pow.f64 (-.f64 (/.f64 1 N) (fma.f64 1/2 (pow.f64 N -2) (*.f64 1/4 (pow.f64 N -4)))) 3) 1/3))
94.5%
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (pow.f64 (sqrt.f64 (-.f64 (/.f64 1 N) (fma.f64 1/2 (pow.f64 N -2) (*.f64 1/4 (pow.f64 N -4))))) 2))
93.4%
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 (/.f64 (*.f64 N (-.f64 N 1/2)) (pow.f64 N 3/2)) (pow.f64 N 3/2)))
93.6%
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 (*.f64 N (-.f64 N 1/2)) (pow.f64 N 3)))
93.7%
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 1 (/.f64 (pow.f64 N 3) (*.f64 N (-.f64 N 1/2)))))
94.0%
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (-.f64 (/.f64 1 N) (/.f64 1/2 (pow.f64 N 2))))
95.1%
(+.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)))))
94.8%
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (+.f64 (/.f64 N (/.f64 (pow.f64 N 3) (+.f64 N -1/2))) (*.f64 -1/4 (pow.f64 N -4))))
93.7%
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (*.f64 N (*.f64 (+.f64 N -1/2) (pow.f64 N -3))))
90.9%
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (exp.f64 (log.f64 (-.f64 (/.f64 1 N) (fma.f64 1/2 (pow.f64 N -2) (*.f64 1/4 (pow.f64 N -4)))))))
27.3%
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 N 1) N)) 2)) (log.f64 (cbrt.f64 (/.f64 (+.f64 N 1) N))))
26.3%
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N)))) 2) 3) (cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))))
26.4%
(*.f64 (cbrt.f64 (pow.f64 (/.f64 1 (/.f64 (+.f64 (log1p.f64 N) (log.f64 N)) (-.f64 (pow.f64 (log1p.f64 N) 2) (pow.f64 (log.f64 N) 2)))) 3/2)) (cbrt.f64 (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 3/2)))
26.0%
(*.f64 (cbrt.f64 (pow.f64 (-.f64 (*.f64 3 (log.f64 (cbrt.f64 (+.f64 N 1)))) (log.f64 N)) 3/2)) (cbrt.f64 (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 3/2)))
27.0%
(*.f64 (cbrt.f64 (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 3/2)) (cbrt.f64 (pow.f64 (*.f64 2 (log.f64 (sqrt.f64 (/.f64 (+.f64 N 1) N)))) 3/2)))
26.9%
(*.f64 (cbrt.f64 (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 3/2)) (cbrt.f64 (pow.f64 (log.f64 (/.f64 (+.f64 N 1) N)) 3/2)))
28.1%
(*.f64 2 (log.f64 (sqrt.f64 (/.f64 (+.f64 N 1) N))))
29.4%
(log.f64 (/.f64 (+.f64 N 1) N))
26.3%
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N)))) 3))
26.3%
(exp.f64 (log.f64 (-.f64 (log1p.f64 N) (log.f64 N))))
26.3%
(cbrt.f64 (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 3))
Compiler

Compiled 1141 to 885 computations (22.4% saved)

localize589.0ms (4.7%)

Localize:

Found 18 expressions with local error:

NewAccuracyProgram
99.2%
(cbrt.f64 (pow.f64 (log1p.f64 N) 2))
99.2%
(cbrt.f64 (log1p.f64 N))
99.2%
(pow.f64 (log1p.f64 N) 2)
27.7%
(fma.f64 (cbrt.f64 (pow.f64 (log1p.f64 N) 2)) (cbrt.f64 (log1p.f64 N)) (neg.f64 (log.f64 N)))
99.6%
(/.f64 1/2 (pow.f64 N 2))
99.6%
(/.f64 1/4 (pow.f64 N 4))
99.4%
(/.f64 1/3 (pow.f64 N 3))
99.3%
(pow.f64 (sqrt.f64 (+.f64 (/.f64 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)))))) 2)
99.7%
(/.f64 (cbrt.f64 (*.f64 N (+.f64 N -1/2))) N)
99.4%
(*.f64 1/3 (pow.f64 N -3))
99.2%
(cbrt.f64 (*.f64 N (+.f64 N -1/2)))
98.9%
(pow.f64 (/.f64 (cbrt.f64 (*.f64 N (+.f64 N -1/2))) N) 3)
100.0%
(/.f64 (+.f64 N 1) N)
29.4%
(log.f64 (/.f64 (+.f64 N 1) N))
99.9%
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (+.f64 (/.f64 N (/.f64 (pow.f64 N 3) (+.f64 N -1/2))) (*.f64 -1/4 (pow.f64 N -4))))
99.7%
(/.f64 N (/.f64 (pow.f64 N 3) (+.f64 N -1/2)))
99.6%
(/.f64 (pow.f64 N 3) (+.f64 N -1/2))
99.4%
(/.f64 1/3 (pow.f64 N 3))
Compiler

Compiled 317 to 229 computations (27.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 339.0ms
Operation ival-pow, time spent: 103.0ms, 30.0% of total-time
Operation ival-div, time spent: 69.0ms, 20.0% of total-time
Operation ival-mult, time spent: 61.0ms, 18.0% of total-time
Operation ival-add, time spent: 39.0ms, 11.0% of total-time
Operation ival-cbrt, time spent: 15.0ms, 4.0% of total-time
Operation ival-log, time spent: 15.0ms, 4.0% of total-time
Operation const, time spent: 14.0ms, 4.0% of total-time
Operation ival-sqrt, time spent: 7.0ms, 2.0% of total-time
Operation ival-log1p, time spent: 6.0ms, 2.0% of total-time
Operation ival-sub, time spent: 5.0ms, 1.0% of total-time
Operation ival-fma, time spent: 3.0ms, 1.0% of total-time
Operation ival-neg, time spent: 1.0ms, 0.0% of total-time

series39.0ms (0.3%)

Counts
14 → 113
Calls

42 calls:

TimeVariablePointExpression
7.0ms
N
@0
(fma.f64 (cbrt.f64 (pow.f64 (log1p.f64 N) 2)) (cbrt.f64 (log1p.f64 N)) (neg.f64 (log.f64 N)))
7.0ms
N
@inf
(fma.f64 (cbrt.f64 (pow.f64 (log1p.f64 N) 2)) (cbrt.f64 (log1p.f64 N)) (neg.f64 (log.f64 N)))
6.0ms
N
@-inf
(fma.f64 (cbrt.f64 (pow.f64 (log1p.f64 N) 2)) (cbrt.f64 (log1p.f64 N)) (neg.f64 (log.f64 N)))
1.0ms
N
@-inf
(cbrt.f64 (pow.f64 (log1p.f64 N) 2))
1.0ms
N
@inf
(cbrt.f64 (log1p.f64 N))

rewrite130.0ms (1%)

Algorithm
batch-egg-rewrite
Rules
383×log1p-expm1-u
383×expm1-log1p-u
371×add-exp-log
369×add-cube-cbrt
363×pow1
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
053422
1879384
Stop Event
node limit
Counts
14 → 296
Calls
Call 1
Inputs
(/.f64 (pow.f64 N 3) (+.f64 N -1/2))
(/.f64 N (/.f64 (pow.f64 N 3) (+.f64 N -1/2)))
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (+.f64 (/.f64 N (/.f64 (pow.f64 N 3) (+.f64 N -1/2))) (*.f64 -1/4 (pow.f64 N -4))))
(log.f64 (/.f64 (+.f64 N 1) N))
(/.f64 (+.f64 N 1) N)
(pow.f64 (/.f64 (cbrt.f64 (*.f64 N (+.f64 N -1/2))) N) 3)
(cbrt.f64 (*.f64 N (+.f64 N -1/2)))
(*.f64 1/3 (pow.f64 N -3))
(/.f64 (cbrt.f64 (*.f64 N (+.f64 N -1/2))) N)
(pow.f64 (sqrt.f64 (+.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)))))) 2)
(fma.f64 (cbrt.f64 (pow.f64 (log1p.f64 N) 2)) (cbrt.f64 (log1p.f64 N)) (neg.f64 (log.f64 N)))
(pow.f64 (log1p.f64 N) 2)
(cbrt.f64 (log1p.f64 N))
(cbrt.f64 (pow.f64 (log1p.f64 N) 2))
Outputs
(-.f64 (exp.f64 (log1p.f64 (/.f64 (pow.f64 N 3) (+.f64 N -1/2)))) 1)
(*.f64 (pow.f64 N 3) (/.f64 1 (+.f64 N -1/2)))
(*.f64 1 (/.f64 (pow.f64 N 3) (+.f64 N -1/2)))
(*.f64 (pow.f64 (/.f64 N (cbrt.f64 (+.f64 N -1/2))) 2) (/.f64 N (cbrt.f64 (+.f64 N -1/2))))
(*.f64 (sqrt.f64 (/.f64 (pow.f64 N 3) (+.f64 N -1/2))) (sqrt.f64 (/.f64 (pow.f64 N 3) (+.f64 N -1/2))))
(pow.f64 (/.f64 (pow.f64 N 3) (+.f64 N -1/2)) 1)
(pow.f64 (/.f64 N (cbrt.f64 (+.f64 N -1/2))) 3)
(pow.f64 (pow.f64 (/.f64 (pow.f64 N 3) (+.f64 N -1/2)) 3) 1/3)
(pow.f64 (sqrt.f64 (/.f64 (pow.f64 N 3) (+.f64 N -1/2))) 2)
(pow.f64 (/.f64 (+.f64 N -1/2) (pow.f64 N 3)) -1)
(log.f64 (exp.f64 (/.f64 (pow.f64 N 3) (+.f64 N -1/2))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (pow.f64 N 3) (+.f64 N -1/2)))))
(cbrt.f64 (pow.f64 (/.f64 (pow.f64 N 3) (+.f64 N -1/2)) 3))
(cbrt.f64 (/.f64 (pow.f64 (pow.f64 N 3) 3) (pow.f64 (+.f64 N -1/2) 3)))
(expm1.f64 (log1p.f64 (/.f64 (pow.f64 N 3) (+.f64 N -1/2))))
(exp.f64 (log.f64 (/.f64 (pow.f64 N 3) (+.f64 N -1/2))))
(exp.f64 (*.f64 (log.f64 (/.f64 (pow.f64 N 3) (+.f64 N -1/2))) 1))
(log1p.f64 (expm1.f64 (/.f64 (pow.f64 N 3) (+.f64 N -1/2))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (pow.f64 N -2) (+.f64 N -1/2)))) 1)
(*.f64 N (/.f64 1 (/.f64 (pow.f64 N 3) (+.f64 N -1/2))))
(*.f64 1 (*.f64 (pow.f64 N -2) (+.f64 N -1/2)))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 (pow.f64 N -2) (+.f64 N -1/2))) 2) (cbrt.f64 (*.f64 (pow.f64 N -2) (+.f64 N -1/2))))
(*.f64 (pow.f64 N -2) (+.f64 N -1/2))
(*.f64 (sqrt.f64 (*.f64 (pow.f64 N -2) (+.f64 N -1/2))) (sqrt.f64 (*.f64 (pow.f64 N -2) (+.f64 N -1/2))))
(pow.f64 (*.f64 (pow.f64 N -2) (+.f64 N -1/2)) 1)
(pow.f64 (cbrt.f64 (*.f64 (pow.f64 N -2) (+.f64 N -1/2))) 3)
(pow.f64 (pow.f64 (*.f64 (pow.f64 N -2) (+.f64 N -1/2)) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 (pow.f64 N -2) (+.f64 N -1/2))) 2)
(pow.f64 (/.f64 (/.f64 (pow.f64 N 3) (+.f64 N -1/2)) N) -1)
(log.f64 (pow.f64 (exp.f64 (pow.f64 N -2)) (+.f64 N -1/2)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (pow.f64 N -2) (+.f64 N -1/2)))))
(cbrt.f64 (pow.f64 (*.f64 (pow.f64 N -2) (+.f64 N -1/2)) 3))
(cbrt.f64 (/.f64 (pow.f64 N 3) (pow.f64 (/.f64 (pow.f64 N 3) (+.f64 N -1/2)) 3)))
(expm1.f64 (log1p.f64 (*.f64 (pow.f64 N -2) (+.f64 N -1/2))))
(exp.f64 (log.f64 (*.f64 (pow.f64 N -2) (+.f64 N -1/2))))
(exp.f64 (*.f64 (log.f64 (*.f64 (pow.f64 N -2) (+.f64 N -1/2))) 1))
(log1p.f64 (expm1.f64 (*.f64 (pow.f64 N -2) (+.f64 N -1/2))))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 1/3 (pow.f64 N -3) (fma.f64 -1/4 (pow.f64 N -4) (*.f64 (pow.f64 N -2) (+.f64 N -1/2)))))) 1)
(*.f64 1 (fma.f64 1/3 (pow.f64 N -3) (fma.f64 -1/4 (pow.f64 N -4) (*.f64 (pow.f64 N -2) (+.f64 N -1/2)))))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 1/3 (pow.f64 N -3) (fma.f64 -1/4 (pow.f64 N -4) (*.f64 (pow.f64 N -2) (+.f64 N -1/2))))) 2) (cbrt.f64 (fma.f64 1/3 (pow.f64 N -3) (fma.f64 -1/4 (pow.f64 N -4) (*.f64 (pow.f64 N -2) (+.f64 N -1/2))))))
(*.f64 (sqrt.f64 (fma.f64 1/3 (pow.f64 N -3) (fma.f64 -1/4 (pow.f64 N -4) (*.f64 (pow.f64 N -2) (+.f64 N -1/2))))) (sqrt.f64 (fma.f64 1/3 (pow.f64 N -3) (fma.f64 -1/4 (pow.f64 N -4) (*.f64 (pow.f64 N -2) (+.f64 N -1/2))))))
(/.f64 (-.f64 (pow.f64 (*.f64 1/3 (pow.f64 N -3)) 2) (pow.f64 (fma.f64 -1/4 (pow.f64 N -4) (*.f64 (pow.f64 N -2) (+.f64 N -1/2))) 2)) (-.f64 (*.f64 1/3 (pow.f64 N -3)) (fma.f64 -1/4 (pow.f64 N -4) (*.f64 (pow.f64 N -2) (+.f64 N -1/2)))))
(/.f64 (+.f64 (*.f64 1/27 (pow.f64 (pow.f64 N -3) 3)) (pow.f64 (fma.f64 -1/4 (pow.f64 N -4) (*.f64 (pow.f64 N -2) (+.f64 N -1/2))) 3)) (+.f64 (pow.f64 (*.f64 1/3 (pow.f64 N -3)) 2) (-.f64 (pow.f64 (fma.f64 -1/4 (pow.f64 N -4) (*.f64 (pow.f64 N -2) (+.f64 N -1/2))) 2) (*.f64 (*.f64 1/3 (pow.f64 N -3)) (fma.f64 -1/4 (pow.f64 N -4) (*.f64 (pow.f64 N -2) (+.f64 N -1/2)))))))
(pow.f64 (fma.f64 1/3 (pow.f64 N -3) (fma.f64 -1/4 (pow.f64 N -4) (*.f64 (pow.f64 N -2) (+.f64 N -1/2)))) 1)
(pow.f64 (cbrt.f64 (fma.f64 1/3 (pow.f64 N -3) (fma.f64 -1/4 (pow.f64 N -4) (*.f64 (pow.f64 N -2) (+.f64 N -1/2))))) 3)
(pow.f64 (pow.f64 (fma.f64 1/3 (pow.f64 N -3) (fma.f64 -1/4 (pow.f64 N -4) (*.f64 (pow.f64 N -2) (+.f64 N -1/2)))) 3) 1/3)
(pow.f64 (sqrt.f64 (fma.f64 1/3 (pow.f64 N -3) (fma.f64 -1/4 (pow.f64 N -4) (*.f64 (pow.f64 N -2) (+.f64 N -1/2))))) 2)
(log.f64 (exp.f64 (fma.f64 1/3 (pow.f64 N -3) (fma.f64 -1/4 (pow.f64 N -4) (*.f64 (pow.f64 N -2) (+.f64 N -1/2))))))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 1/3 (pow.f64 N -3) (fma.f64 -1/4 (pow.f64 N -4) (*.f64 (pow.f64 N -2) (+.f64 N -1/2)))))))
(cbrt.f64 (pow.f64 (fma.f64 1/3 (pow.f64 N -3) (fma.f64 -1/4 (pow.f64 N -4) (*.f64 (pow.f64 N -2) (+.f64 N -1/2)))) 3))
(expm1.f64 (log1p.f64 (fma.f64 1/3 (pow.f64 N -3) (fma.f64 -1/4 (pow.f64 N -4) (*.f64 (pow.f64 N -2) (+.f64 N -1/2))))))
(exp.f64 (log.f64 (fma.f64 1/3 (pow.f64 N -3) (fma.f64 -1/4 (pow.f64 N -4) (*.f64 (pow.f64 N -2) (+.f64 N -1/2))))))
(exp.f64 (*.f64 (log.f64 (fma.f64 1/3 (pow.f64 N -3) (fma.f64 -1/4 (pow.f64 N -4) (*.f64 (pow.f64 N -2) (+.f64 N -1/2))))) 1))
(log1p.f64 (expm1.f64 (fma.f64 1/3 (pow.f64 N -3) (fma.f64 -1/4 (pow.f64 N -4) (*.f64 (pow.f64 N -2) (+.f64 N -1/2))))))
(fma.f64 1/3 (pow.f64 N -3) (fma.f64 -1/4 (pow.f64 N -4) (*.f64 (pow.f64 N -2) (+.f64 N -1/2))))
(fma.f64 1 (*.f64 1/3 (pow.f64 N -3)) (fma.f64 -1/4 (pow.f64 N -4) (*.f64 (pow.f64 N -2) (+.f64 N -1/2))))
(fma.f64 1 (fma.f64 -1/4 (pow.f64 N -4) (*.f64 (pow.f64 N -2) (+.f64 N -1/2))) (*.f64 1/3 (pow.f64 N -3)))
(fma.f64 (pow.f64 (/.f64 (cbrt.f64 1/3) N) 2) (/.f64 (cbrt.f64 1/3) N) (fma.f64 -1/4 (pow.f64 N -4) (*.f64 (pow.f64 N -2) (+.f64 N -1/2))))
(fma.f64 (cbrt.f64 (pow.f64 (fma.f64 -1/4 (pow.f64 N -4) (*.f64 (pow.f64 N -2) (+.f64 N -1/2))) 2)) (cbrt.f64 (fma.f64 -1/4 (pow.f64 N -4) (*.f64 (pow.f64 N -2) (+.f64 N -1/2)))) (*.f64 1/3 (pow.f64 N -3)))
(fma.f64 (sqrt.f64 (*.f64 1/3 (pow.f64 N -3))) (sqrt.f64 (*.f64 1/3 (pow.f64 N -3))) (fma.f64 -1/4 (pow.f64 N -4) (*.f64 (pow.f64 N -2) (+.f64 N -1/2))))
(fma.f64 (sqrt.f64 (fma.f64 -1/4 (pow.f64 N -4) (*.f64 (pow.f64 N -2) (+.f64 N -1/2)))) (sqrt.f64 (fma.f64 -1/4 (pow.f64 N -4) (*.f64 (pow.f64 N -2) (+.f64 N -1/2)))) (*.f64 1/3 (pow.f64 N -3)))
(+.f64 (-.f64 (log1p.f64 N) (log.f64 N)) (fma.f64 (neg.f64 (sqrt.f64 (log.f64 N))) (sqrt.f64 (log.f64 N)) (log.f64 N)))
(+.f64 (log1p.f64 N) (neg.f64 (log.f64 N)))
(+.f64 0 (-.f64 (log1p.f64 N) (log.f64 N)))
(+.f64 (fma.f64 1 (log1p.f64 N) (neg.f64 (*.f64 (log.f64 N) 1))) (fma.f64 (neg.f64 (log.f64 N)) 1 (*.f64 (log.f64 N) 1)))
(+.f64 (fma.f64 1 (log1p.f64 N) (neg.f64 (*.f64 (cbrt.f64 (log.f64 N)) (cbrt.f64 (pow.f64 (log.f64 N) 2))))) (fma.f64 (neg.f64 (cbrt.f64 (log.f64 N))) (cbrt.f64 (pow.f64 (log.f64 N) 2)) (*.f64 (cbrt.f64 (log.f64 N)) (cbrt.f64 (pow.f64 (log.f64 N) 2)))))
(+.f64 (fma.f64 (pow.f64 (cbrt.f64 (log1p.f64 N)) 2) (cbrt.f64 (log1p.f64 N)) (neg.f64 (*.f64 (log.f64 N) 1))) (fma.f64 (neg.f64 (log.f64 N)) 1 (*.f64 (log.f64 N) 1)))
(+.f64 (fma.f64 (pow.f64 (cbrt.f64 (log1p.f64 N)) 2) (cbrt.f64 (log1p.f64 N)) (neg.f64 (*.f64 (cbrt.f64 (log.f64 N)) (cbrt.f64 (pow.f64 (log.f64 N) 2))))) (fma.f64 (neg.f64 (cbrt.f64 (log.f64 N))) (cbrt.f64 (pow.f64 (log.f64 N) 2)) (*.f64 (cbrt.f64 (log.f64 N)) (cbrt.f64 (pow.f64 (log.f64 N) 2)))))
(+.f64 (fma.f64 (sqrt.f64 (log1p.f64 N)) (sqrt.f64 (log1p.f64 N)) (neg.f64 (*.f64 (log.f64 N) 1))) (fma.f64 (neg.f64 (log.f64 N)) 1 (*.f64 (log.f64 N) 1)))
(+.f64 (fma.f64 (sqrt.f64 (log1p.f64 N)) (sqrt.f64 (log1p.f64 N)) (neg.f64 (*.f64 (cbrt.f64 (log.f64 N)) (cbrt.f64 (pow.f64 (log.f64 N) 2))))) (fma.f64 (neg.f64 (cbrt.f64 (log.f64 N))) (cbrt.f64 (pow.f64 (log.f64 N) 2)) (*.f64 (cbrt.f64 (log.f64 N)) (cbrt.f64 (pow.f64 (log.f64 N) 2)))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 N 1) N)) 2)) (log.f64 (cbrt.f64 (/.f64 (+.f64 N 1) N))))
(+.f64 (log.f64 (sqrt.f64 (/.f64 (+.f64 N 1) N))) (log.f64 (sqrt.f64 (/.f64 (+.f64 N 1) N))))
(-.f64 (log1p.f64 N) (log.f64 N))
(-.f64 0 (log.f64 (/.f64 N (+.f64 N 1))))
(-.f64 (exp.f64 (log1p.f64 (-.f64 (log1p.f64 N) (log.f64 N)))) 1)
(-.f64 (log.f64 (neg.f64 (+.f64 N 1))) (log.f64 (neg.f64 N)))
(*.f64 1 (-.f64 (log1p.f64 N) (log.f64 N)))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))) 2) (cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))))
(*.f64 (sqrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))) (sqrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))))
(pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 1)
(pow.f64 (cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))) 3)
(pow.f64 (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 3) 1/3)
(pow.f64 (sqrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))) 2)
(neg.f64 (log.f64 (/.f64 N (+.f64 N 1))))
(cbrt.f64 (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 3))
(expm1.f64 (log1p.f64 (-.f64 (log1p.f64 N) (log.f64 N))))
(exp.f64 (log.f64 (-.f64 (log1p.f64 N) (log.f64 N))))
(exp.f64 (*.f64 (log.f64 (-.f64 (log1p.f64 N) (log.f64 N))) 1))
(log1p.f64 (-.f64 (/.f64 (+.f64 N 1) N) 1))
(fma.f64 1 (log1p.f64 N) (neg.f64 (log.f64 N)))
(fma.f64 (pow.f64 (cbrt.f64 (log1p.f64 N)) 2) (cbrt.f64 (log1p.f64 N)) (neg.f64 (log.f64 N)))
(fma.f64 (sqrt.f64 (log1p.f64 N)) (sqrt.f64 (log1p.f64 N)) (neg.f64 (log.f64 N)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (+.f64 N 1) N))) 1)
(*.f64 1 (/.f64 (+.f64 N 1) N))
(*.f64 (+.f64 N 1) (/.f64 1 N))
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(*.f64 1 (pow.f64 (log1p.f64 N) 2))
(*.f64 (log1p.f64 N) (log1p.f64 N))
(*.f64 (cbrt.f64 (pow.f64 (log1p.f64 N) 4)) (pow.f64 (cbrt.f64 (log1p.f64 N)) 2))
(*.f64 (sqrt.f64 (pow.f64 (log1p.f64 N) 2)) (sqrt.f64 (pow.f64 (log1p.f64 N) 2)))
(log.f64 (exp.f64 (pow.f64 (log1p.f64 N) 2)))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (log1p.f64 N) 2))))
(cbrt.f64 (pow.f64 (pow.f64 (log1p.f64 N) 2) 3))
(cbrt.f64 (*.f64 (pow.f64 (log1p.f64 N) 3) (pow.f64 (log1p.f64 N) 3)))
(expm1.f64 (log1p.f64 (pow.f64 (log1p.f64 N) 2)))
(exp.f64 (*.f64 2 (log.f64 (log1p.f64 N))))
(exp.f64 (*.f64 (*.f64 2 (log.f64 (log1p.f64 N))) 1))
(log1p.f64 (expm1.f64 (pow.f64 (log1p.f64 N) 2)))
(-.f64 (exp.f64 (log1p.f64 (cbrt.f64 (log1p.f64 N)))) 1)
(*.f64 1 (cbrt.f64 (log1p.f64 N)))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 N))) 2) (cbrt.f64 (cbrt.f64 (log1p.f64 N))))
(*.f64 (sqrt.f64 (cbrt.f64 (log1p.f64 N))) (sqrt.f64 (cbrt.f64 (log1p.f64 N))))
(*.f64 (pow.f64 1 1/3) (cbrt.f64 (log1p.f64 N)))
(*.f64 (pow.f64 (sqrt.f64 (log1p.f64 N)) 1/3) (pow.f64 (sqrt.f64 (log1p.f64 N)) 1/3))
(*.f64 (cbrt.f64 (sqrt.f64 (log1p.f64 N))) (cbrt.f64 (sqrt.f64 (log1p.f64 N))))
(pow.f64 (log1p.f64 N) 1/3)
(pow.f64 (cbrt.f64 (log1p.f64 N)) 1)
(pow.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 N))) 3)
(pow.f64 (sqrt.f64 (cbrt.f64 (log1p.f64 N))) 2)
(log.f64 (exp.f64 (cbrt.f64 (log1p.f64 N))))
(log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 (log1p.f64 N)))))
(expm1.f64 (log1p.f64 (cbrt.f64 (log1p.f64 N))))
(exp.f64 (log.f64 (cbrt.f64 (log1p.f64 N))))
(exp.f64 (*.f64 (log.f64 (log1p.f64 N)) 1/3))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (log1p.f64 N))) 1))
(log1p.f64 (expm1.f64 (cbrt.f64 (log1p.f64 N))))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (cbrt.f64 (log1p.f64 N)) 2))) 1)
(*.f64 1 (pow.f64 (cbrt.f64 (log1p.f64 N)) 2))
(*.f64 (cbrt.f64 (log1p.f64 N)) (cbrt.f64 (log1p.f64 N)))
(*.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (log1p.f64 N) 4))) (pow.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 N))) 2))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (log1p.f64 N)) 2)) (sqrt.f64 (pow.f64 (cbrt.f64 (log1p.f64 N)) 2)))
(*.f64 (pow.f64 1 1/3) (pow.f64 (cbrt.f64 (log1p.f64 N)) 2))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (log1p.f64 N) 4)) 1/3) (pow.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 N))) 2))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (log1p.f64 N) 2)) 1/3) (pow.f64 (sqrt.f64 (pow.f64 (log1p.f64 N) 2)) 1/3))
(*.f64 (cbrt.f64 (sqrt.f64 (pow.f64 (log1p.f64 N) 2))) (cbrt.f64 (sqrt.f64 (pow.f64 (log1p.f64 N) 2))))
(pow.f64 (log1p.f64 N) 2/3)
(pow.f64 (pow.f64 (log1p.f64 N) 2) 1/3)
(pow.f64 (pow.f64 (cbrt.f64 (log1p.f64 N)) 2) 1)
(pow.f64 (cbrt.f64 (log1p.f64 N)) 2)
(pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 N))) 2) 3)
(pow.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (log1p.f64 N)) 2)) 2)
(log.f64 (exp.f64 (pow.f64 (cbrt.f64 (log1p.f64 N)) 2)))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (cbrt.f64 (log1p.f64 N)) 2))))
(expm1.f64 (log1p.f64 (pow.f64 (cbrt.f64 (log1p.f64 N)) 2)))
(exp.f64 (log.f64 (pow.f64 (cbrt.f64 (log1p.f64 N)) 2)))
(exp.f64 (*.f64 (*.f64 2 (log.f64 (log1p.f64 N))) 1/3))
(exp.f64 (*.f64 (log.f64 (pow.f64 (cbrt.f64 (log1p.f64 N)) 2)) 1))
(exp.f64 (+.f64 (log.f64 (cbrt.f64 (log1p.f64 N))) (log.f64 (cbrt.f64 (log1p.f64 N)))))
(log1p.f64 (expm1.f64 (pow.f64 (cbrt.f64 (log1p.f64 N)) 2)))

simplify193.0ms (1.6%)

Algorithm
egg-herbie
Rules
1052×fma-def
988×associate-*r*
866×associate-*l*
586×sqr-pow
516×associate-+r+
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
092423286
1246721729
Stop Event
node limit
Counts
409 → 479
Calls
Call 1
Inputs
(*.f64 -2 (pow.f64 N 3))
(+.f64 (*.f64 -4 (pow.f64 N 4)) (*.f64 -2 (pow.f64 N 3)))
(+.f64 (*.f64 -8 (pow.f64 N 5)) (+.f64 (*.f64 -4 (pow.f64 N 4)) (*.f64 -2 (pow.f64 N 3))))
(+.f64 (*.f64 -16 (pow.f64 N 6)) (+.f64 (*.f64 -8 (pow.f64 N 5)) (+.f64 (*.f64 -4 (pow.f64 N 4)) (*.f64 -2 (pow.f64 N 3)))))
(pow.f64 N 2)
(+.f64 (*.f64 1/2 N) (pow.f64 N 2))
(+.f64 1/4 (+.f64 (*.f64 1/2 N) (pow.f64 N 2)))
(+.f64 1/4 (+.f64 (*.f64 1/8 (/.f64 1 N)) (+.f64 (*.f64 1/2 N) (pow.f64 N 2))))
(pow.f64 N 2)
(+.f64 (*.f64 1/2 N) (pow.f64 N 2))
(+.f64 1/4 (+.f64 (*.f64 1/2 N) (pow.f64 N 2)))
(+.f64 1/4 (+.f64 (*.f64 1/8 (/.f64 1 N)) (+.f64 (*.f64 1/2 N) (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 1/3 (/.f64 1 (pow.f64 N 3))) (*.f64 1/4 (/.f64 1 (pow.f64 N 4))))
(-.f64 (*.f64 1/3 (/.f64 1 (pow.f64 N 3))) (+.f64 (*.f64 1/2 (/.f64 1 (pow.f64 N 2))) (*.f64 1/4 (/.f64 1 (pow.f64 N 4)))))
(-.f64 (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 N 3))) (/.f64 1 N)) (+.f64 (*.f64 1/2 (/.f64 1 (pow.f64 N 2))) (*.f64 1/4 (/.f64 1 (pow.f64 N 4)))))
(/.f64 1 N)
(-.f64 (/.f64 1 N) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 N 3))) (/.f64 1 N)) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 N 3))) (/.f64 1 N)) (+.f64 (*.f64 1/4 (/.f64 1 (pow.f64 N 4))) (*.f64 1/2 (/.f64 1 (pow.f64 N 2)))))
(/.f64 1 N)
(-.f64 (/.f64 1 N) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 N 3))) (/.f64 1 N)) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 N 3))) (/.f64 1 N)) (+.f64 (*.f64 1/4 (/.f64 1 (pow.f64 N 4))) (*.f64 1/2 (/.f64 1 (pow.f64 N 2)))))
(*.f64 -1 (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 N)
(+.f64 1 (/.f64 1 N))
(+.f64 1 (/.f64 1 N))
(+.f64 1 (/.f64 1 N))
1
(+.f64 1 (/.f64 1 N))
(+.f64 1 (/.f64 1 N))
(+.f64 1 (/.f64 1 N))
1
(+.f64 1 (/.f64 1 N))
(+.f64 1 (/.f64 1 N))
(+.f64 1 (/.f64 1 N))
(/.f64 1/3 (pow.f64 N 3))
(/.f64 1/3 (pow.f64 N 3))
(/.f64 1/3 (pow.f64 N 3))
(/.f64 1/3 (pow.f64 N 3))
(/.f64 1/3 (pow.f64 N 3))
(/.f64 1/3 (pow.f64 N 3))
(/.f64 1/3 (pow.f64 N 3))
(/.f64 1/3 (pow.f64 N 3))
(/.f64 1/3 (pow.f64 N 3))
(/.f64 1/3 (pow.f64 N 3))
(/.f64 1/3 (pow.f64 N 3))
(/.f64 1/3 (pow.f64 N 3))
(/.f64 (pow.f64 (sqrt.f64 -1/4) 2) (pow.f64 N 4))
(+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 N 3))) (/.f64 (pow.f64 (sqrt.f64 -1/4) 2) (pow.f64 N 4)))
(+.f64 (*.f64 -1 (/.f64 (+.f64 1/2 (pow.f64 (/.f64 1/6 (sqrt.f64 -1/4)) 2)) (pow.f64 N 2))) (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 N 3))) (+.f64 (*.f64 1/36 (/.f64 1 (*.f64 (pow.f64 N 2) (pow.f64 (sqrt.f64 -1/4) 2)))) (/.f64 (pow.f64 (sqrt.f64 -1/4) 2) (pow.f64 N 4)))))
(+.f64 (*.f64 -1 (/.f64 (+.f64 1/2 (pow.f64 (/.f64 1/6 (sqrt.f64 -1/4)) 2)) (pow.f64 N 2))) (+.f64 (*.f64 1/36 (/.f64 1 (*.f64 (pow.f64 N 2) (pow.f64 (sqrt.f64 -1/4) 2)))) (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 N 3))) (+.f64 (/.f64 1 N) (/.f64 (pow.f64 (sqrt.f64 -1/4) 2) (pow.f64 N 4))))))
(*.f64 -1 (log.f64 N))
(-.f64 (*.f64 (pow.f64 1 1/3) (*.f64 (cbrt.f64 -1) (log.f64 (/.f64 1 N)))) (*.f64 -1 (log.f64 (/.f64 1 N))))
(-.f64 (+.f64 (*.f64 -2/3 (*.f64 (pow.f64 (*.f64 1 (pow.f64 (log.f64 (/.f64 1 N)) 8)) 1/9) (/.f64 (cbrt.f64 -1) N))) (+.f64 (*.f64 1/3 (*.f64 (pow.f64 (*.f64 (pow.f64 1 4) (pow.f64 (log.f64 (/.f64 1 N)) 4)) 1/9) (*.f64 (/.f64 1 N) (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 2)) 1/3)))) (*.f64 (pow.f64 1 1/3) (*.f64 (cbrt.f64 -1) (log.f64 (/.f64 1 N)))))) (*.f64 -1 (log.f64 (/.f64 1 N))))
(-.f64 (+.f64 (*.f64 -2/3 (*.f64 (pow.f64 (*.f64 1 (pow.f64 (log.f64 (/.f64 1 N)) 8)) 1/9) (/.f64 (cbrt.f64 -1) N))) (+.f64 (*.f64 -1/3 (*.f64 (pow.f64 1 1/3) (/.f64 (+.f64 1/2 (*.f64 1/3 (*.f64 (pow.f64 (/.f64 (pow.f64 1 4) (log.f64 (/.f64 1 N))) 1/9) (pow.f64 (/.f64 1 (cbrt.f64 -1)) 1/3)))) (*.f64 (pow.f64 N 2) (pow.f64 (cbrt.f64 -1) 2))))) (+.f64 (*.f64 -2/9 (*.f64 (pow.f64 (pow.f64 1 4) 1/9) (*.f64 (/.f64 1 (pow.f64 N 2)) (pow.f64 (/.f64 (log.f64 (/.f64 1 N)) (pow.f64 (cbrt.f64 -1) 2)) 1/3)))) (+.f64 (*.f64 1/3 (*.f64 (pow.f64 1 1/3) (/.f64 (*.f64 (cbrt.f64 -1) (-.f64 (+.f64 1 (log.f64 (/.f64 1 N))) (*.f64 4/3 (pow.f64 (*.f64 1 (pow.f64 (log.f64 (/.f64 1 N)) 16)) 1/9)))) (*.f64 (pow.f64 N 2) (log.f64 (/.f64 1 N)))))) (+.f64 (*.f64 1/3 (*.f64 (pow.f64 (*.f64 (pow.f64 1 4) (pow.f64 (log.f64 (/.f64 1 N)) 4)) 1/9) (*.f64 (/.f64 1 N) (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 2)) 1/3)))) (*.f64 (pow.f64 1 1/3) (*.f64 (cbrt.f64 -1) (log.f64 (/.f64 1 N))))))))) (*.f64 -1 (log.f64 (/.f64 1 N))))
(-.f64 (+.f64 (*.f64 -2/3 (*.f64 (pow.f64 (*.f64 1 (pow.f64 (log.f64 (/.f64 1 N)) 8)) 1/9) (/.f64 (cbrt.f64 -1) N))) (+.f64 (*.f64 -1/3 (*.f64 (pow.f64 1 1/3) (/.f64 (+.f64 1/2 (*.f64 1/3 (*.f64 (pow.f64 (/.f64 (pow.f64 1 4) (log.f64 (/.f64 1 N))) 1/9) (pow.f64 (/.f64 1 (cbrt.f64 -1)) 1/3)))) (*.f64 (pow.f64 N 2) (pow.f64 (cbrt.f64 -1) 2))))) (+.f64 (*.f64 -2/9 (*.f64 (pow.f64 (pow.f64 1 4) 1/9) (*.f64 (/.f64 1 (pow.f64 N 2)) (pow.f64 (/.f64 (log.f64 (/.f64 1 N)) (pow.f64 (cbrt.f64 -1) 2)) 1/3)))) (+.f64 (*.f64 1/9 (*.f64 (pow.f64 (/.f64 (pow.f64 1 4) (pow.f64 (log.f64 (/.f64 1 N)) 14)) 1/9) (*.f64 (/.f64 (-.f64 (+.f64 1 (log.f64 (/.f64 1 N))) (*.f64 4/3 (pow.f64 (*.f64 1 (pow.f64 (log.f64 (/.f64 1 N)) 16)) 1/9))) (pow.f64 N 3)) (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 2)) 1/3)))) (+.f64 (*.f64 2/9 (*.f64 (pow.f64 (/.f64 1 (log.f64 (/.f64 1 N))) 1/9) (/.f64 (+.f64 1/2 (*.f64 1/3 (*.f64 (pow.f64 (/.f64 (pow.f64 1 4) (log.f64 (/.f64 1 N))) 1/9) (pow.f64 (/.f64 1 (cbrt.f64 -1)) 1/3)))) (*.f64 (pow.f64 N 3) (pow.f64 (cbrt.f64 -1) 2))))) (+.f64 (*.f64 1/3 (*.f64 (pow.f64 1 1/3) (/.f64 (*.f64 (cbrt.f64 -1) (-.f64 (*.f64 -2/3 (log.f64 (/.f64 1 N))) (+.f64 1 (+.f64 (*.f64 -4/3 (*.f64 (pow.f64 (/.f64 1 (log.f64 (/.f64 1 N))) 1/9) (-.f64 (+.f64 1 (log.f64 (/.f64 1 N))) (*.f64 4/3 (pow.f64 (*.f64 1 (pow.f64 (log.f64 (/.f64 1 N)) 16)) 1/9))))) (*.f64 -8/27 (pow.f64 (*.f64 1 (pow.f64 (log.f64 (/.f64 1 N)) 5)) 1/3)))))) (*.f64 (pow.f64 N 3) (log.f64 (/.f64 1 N)))))) (+.f64 (*.f64 1/3 (*.f64 (pow.f64 1 1/3) (/.f64 (*.f64 (cbrt.f64 -1) (-.f64 (+.f64 1 (log.f64 (/.f64 1 N))) (*.f64 4/3 (pow.f64 (*.f64 1 (pow.f64 (log.f64 (/.f64 1 N)) 16)) 1/9)))) (*.f64 (pow.f64 N 2) (log.f64 (/.f64 1 N)))))) (+.f64 (*.f64 1/3 (*.f64 (pow.f64 1 1/3) (/.f64 (-.f64 1/3 (+.f64 (*.f64 -2/3 (*.f64 (pow.f64 (/.f64 (pow.f64 1 4) (pow.f64 (log.f64 (/.f64 1 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 (/.f64 1 N))) 1/9) (pow.f64 (/.f64 1 (cbrt.f64 -1)) 1/3))))))) (*.f64 1/27 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 (/.f64 1 N)) 2)) 1/3) (/.f64 1 (pow.f64 (cbrt.f64 -1) 2)))))) (*.f64 (pow.f64 N 3) (pow.f64 (cbrt.f64 -1) 2))))) (+.f64 (*.f64 1/3 (*.f64 (pow.f64 (*.f64 (pow.f64 1 4) (pow.f64 (log.f64 (/.f64 1 N)) 4)) 1/9) (*.f64 (/.f64 1 N) (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 2)) 1/3)))) (*.f64 (pow.f64 1 1/3) (*.f64 (cbrt.f64 -1) (log.f64 (/.f64 1 N))))))))))))) (*.f64 -1 (log.f64 (/.f64 1 N))))
(-.f64 (*.f64 (pow.f64 1 1/3) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 N))))) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 N)))))
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(*.f64 (cbrt.f64 (sqrt.f64 (*.f64 (*.f64 N (+.f64 N -1/2)) (pow.f64 N -3)))) (cbrt.f64 (sqrt.f64 (*.f64 (*.f64 N (+.f64 N -1/2)) (pow.f64 N -3)))))
(*.f64 (cbrt.f64 (pow.f64 (/.f64 (cbrt.f64 (*.f64 N (+.f64 N -1/2))) N) 3/2)) (cbrt.f64 (pow.f64 (/.f64 (cbrt.f64 (*.f64 N (+.f64 N -1/2))) N) 3/2)))
(pow.f64 (/.f64 (cbrt.f64 (*.f64 N (+.f64 N -1/2))) N) 1)
(pow.f64 (*.f64 (*.f64 N (+.f64 N -1/2)) (pow.f64 N -3)) 1/3)
(pow.f64 (cbrt.f64 (/.f64 (cbrt.f64 (*.f64 N (+.f64 N -1/2))) N)) 3)
(pow.f64 (sqrt.f64 (/.f64 (cbrt.f64 (*.f64 N (+.f64 N -1/2))) N)) 2)
(pow.f64 (/.f64 N (cbrt.f64 (*.f64 N (+.f64 N -1/2)))) -1)
(log.f64 (exp.f64 (/.f64 (cbrt.f64 (*.f64 N (+.f64 N -1/2))) N)))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (cbrt.f64 (*.f64 N (+.f64 N -1/2))) N))))
(cbrt.f64 (*.f64 (*.f64 N (+.f64 N -1/2)) (pow.f64 N -3)))
(expm1.f64 (log1p.f64 (/.f64 (cbrt.f64 (*.f64 N (+.f64 N -1/2))) N)))
(exp.f64 (log.f64 (/.f64 (cbrt.f64 (*.f64 N (+.f64 N -1/2))) N)))
(exp.f64 (*.f64 (log.f64 (/.f64 (cbrt.f64 (*.f64 N (+.f64 N -1/2))) N)) 1))
(log1p.f64 (expm1.f64 (/.f64 (cbrt.f64 (*.f64 N (+.f64 N -1/2))) N)))
(+.f64 (*.f64 1/3 (pow.f64 N -3)) (-.f64 (/.f64 1 N) (fma.f64 1/4 (pow.f64 N -4) (*.f64 1/2 (pow.f64 N -2)))))
(+.f64 (-.f64 (/.f64 1 N) (fma.f64 1/4 (pow.f64 N -4) (*.f64 1/2 (pow.f64 N -2)))) (*.f64 1/3 (pow.f64 N -3)))
(-.f64 (fma.f64 1/3 (pow.f64 N -3) (/.f64 1 N)) (fma.f64 1/4 (pow.f64 N -4) (*.f64 1/2 (pow.f64 N -2))))
(-.f64 (exp.f64 (log1p.f64 (-.f64 (fma.f64 1/3 (pow.f64 N -3) (/.f64 1 N)) (fma.f64 1/4 (pow.f64 N -4) (*.f64 1/2 (pow.f64 N -2)))))) 1)
(*.f64 1 (-.f64 (fma.f64 1/3 (pow.f64 N -3) (/.f64 1 N)) (fma.f64 1/4 (pow.f64 N -4) (*.f64 1/2 (pow.f64 N -2)))))
(*.f64 (sqrt.f64 (-.f64 (fma.f64 1/3 (pow.f64 N -3) (/.f64 1 N)) (fma.f64 1/4 (pow.f64 N -4) (*.f64 1/2 (pow.f64 N -2))))) (sqrt.f64 (-.f64 (fma.f64 1/3 (pow.f64 N -3) (/.f64 1 N)) (fma.f64 1/4 (pow.f64 N -4) (*.f64 1/2 (pow.f64 N -2))))))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 (fma.f64 1/3 (pow.f64 N -3) (/.f64 1 N)) (fma.f64 1/4 (pow.f64 N -4) (*.f64 1/2 (pow.f64 N -2))))) 2) (cbrt.f64 (-.f64 (fma.f64 1/3 (pow.f64 N -3) (/.f64 1 N)) (fma.f64 1/4 (pow.f64 N -4) (*.f64 1/2 (pow.f64 N -2))))))
(/.f64 (-.f64 (pow.f64 (*.f64 1/3 (pow.f64 N -3)) 2) (pow.f64 (-.f64 (/.f64 1 N) (fma.f64 1/4 (pow.f64 N -4) (*.f64 1/2 (pow.f64 N -2)))) 2)) (-.f64 (*.f64 1/3 (pow.f64 N -3)) (-.f64 (/.f64 1 N) (fma.f64 1/4 (pow.f64 N -4) (*.f64 1/2 (pow.f64 N -2))))))
(/.f64 (+.f64 (*.f64 1/27 (pow.f64 (pow.f64 N -3) 3)) (pow.f64 (-.f64 (/.f64 1 N) (fma.f64 1/4 (pow.f64 N -4) (*.f64 1/2 (pow.f64 N -2)))) 3)) (+.f64 (pow.f64 (*.f64 1/3 (pow.f64 N -3)) 2) (-.f64 (pow.f64 (-.f64 (/.f64 1 N) (fma.f64 1/4 (pow.f64 N -4) (*.f64 1/2 (pow.f64 N -2)))) 2) (*.f64 (*.f64 1/3 (pow.f64 N -3)) (-.f64 (/.f64 1 N) (fma.f64 1/4 (pow.f64 N -4) (*.f64 1/2 (pow.f64 N -2))))))))
(log.f64 (exp.f64 (-.f64 (fma.f64 1/3 (pow.f64 N -3) (/.f64 1 N)) (fma.f64 1/4 (pow.f64 N -4) (*.f64 1/2 (pow.f64 N -2))))))
(log.f64 (+.f64 1 (expm1.f64 (-.f64 (fma.f64 1/3 (pow.f64 N -3) (/.f64 1 N)) (fma.f64 1/4 (pow.f64 N -4) (*.f64 1/2 (pow.f64 N -2)))))))
(cbrt.f64 (pow.f64 (-.f64 (fma.f64 1/3 (pow.f64 N -3) (/.f64 1 N)) (fma.f64 1/4 (pow.f64 N -4) (*.f64 1/2 (pow.f64 N -2)))) 3))
(cbrt.f64 (*.f64 (pow.f64 (-.f64 (fma.f64 1/3 (pow.f64 N -3) (/.f64 1 N)) (fma.f64 1/4 (pow.f64 N -4) (*.f64 1/2 (pow.f64 N -2)))) 3/2) (pow.f64 (-.f64 (fma.f64 1/3 (pow.f64 N -3) (/.f64 1 N)) (fma.f64 1/4 (pow.f64 N -4) (*.f64 1/2 (pow.f64 N -2)))) 3/2)))
(expm1.f64 (log1p.f64 (-.f64 (fma.f64 1/3 (pow.f64 N -3) (/.f64 1 N)) (fma.f64 1/4 (pow.f64 N -4) (*.f64 1/2 (pow.f64 N -2))))))
(exp.f64 (log.f64 (-.f64 (fma.f64 1/3 (pow.f64 N -3) (/.f64 1 N)) (fma.f64 1/4 (pow.f64 N -4) (*.f64 1/2 (pow.f64 N -2))))))
(exp.f64 (*.f64 (log.f64 (-.f64 (fma.f64 1/3 (pow.f64 N -3) (/.f64 1 N)) (fma.f64 1/4 (pow.f64 N -4) (*.f64 1/2 (pow.f64 N -2))))) 1))
(log1p.f64 (expm1.f64 (-.f64 (fma.f64 1/3 (pow.f64 N -3) (/.f64 1 N)) (fma.f64 1/4 (pow.f64 N -4) (*.f64 1/2 (pow.f64 N -2))))))
(fma.f64 1/3 (pow.f64 N -3) (-.f64 (/.f64 1 N) (fma.f64 1/4 (pow.f64 N -4) (*.f64 1/2 (pow.f64 N -2)))))
(fma.f64 1 (*.f64 1/3 (pow.f64 N -3)) (-.f64 (/.f64 1 N) (fma.f64 1/4 (pow.f64 N -4) (*.f64 1/2 (pow.f64 N -2)))))
(fma.f64 1 (-.f64 (/.f64 1 N) (fma.f64 1/4 (pow.f64 N -4) (*.f64 1/2 (pow.f64 N -2)))) (*.f64 1/3 (pow.f64 N -3)))
(fma.f64 (pow.f64 (/.f64 (cbrt.f64 1/3) N) 2) (/.f64 (cbrt.f64 1/3) N) (-.f64 (/.f64 1 N) (fma.f64 1/4 (pow.f64 N -4) (*.f64 1/2 (pow.f64 N -2)))))
(fma.f64 (pow.f64 (cbrt.f64 (-.f64 (/.f64 1 N) (fma.f64 1/4 (pow.f64 N -4) (*.f64 1/2 (pow.f64 N -2))))) 2) (cbrt.f64 (-.f64 (/.f64 1 N) (fma.f64 1/4 (pow.f64 N -4) (*.f64 1/2 (pow.f64 N -2))))) (*.f64 1/3 (pow.f64 N -3)))
(fma.f64 (sqrt.f64 (*.f64 1/3 (pow.f64 N -3))) (sqrt.f64 (*.f64 1/3 (pow.f64 N -3))) (-.f64 (/.f64 1 N) (fma.f64 1/4 (pow.f64 N -4) (*.f64 1/2 (pow.f64 N -2)))))
(fma.f64 (sqrt.f64 (-.f64 (/.f64 1 N) (fma.f64 1/4 (pow.f64 N -4) (*.f64 1/2 (pow.f64 N -2))))) (sqrt.f64 (-.f64 (/.f64 1 N) (fma.f64 1/4 (pow.f64 N -4) (*.f64 1/2 (pow.f64 N -2))))) (*.f64 1/3 (pow.f64 N -3)))
(+.f64 (-.f64 (log1p.f64 N) (log.f64 N)) (fma.f64 (neg.f64 (sqrt.f64 (log.f64 N))) (sqrt.f64 (log.f64 N)) (log.f64 N)))
(+.f64 (log1p.f64 N) (neg.f64 (log.f64 N)))
(+.f64 0 (-.f64 (log1p.f64 N) (log.f64 N)))
(+.f64 (fma.f64 1 (log1p.f64 N) (neg.f64 (*.f64 (log.f64 N) 1))) (fma.f64 (neg.f64 (log.f64 N)) 1 (*.f64 (log.f64 N) 1)))
(+.f64 (fma.f64 1 (log1p.f64 N) (neg.f64 (*.f64 (cbrt.f64 (log.f64 N)) (cbrt.f64 (pow.f64 (log.f64 N) 2))))) (fma.f64 (neg.f64 (cbrt.f64 (log.f64 N))) (cbrt.f64 (pow.f64 (log.f64 N) 2)) (*.f64 (cbrt.f64 (log.f64 N)) (cbrt.f64 (pow.f64 (log.f64 N) 2)))))
(+.f64 (fma.f64 (pow.f64 (cbrt.f64 (log1p.f64 N)) 2) (cbrt.f64 (log1p.f64 N)) (neg.f64 (*.f64 (log.f64 N) 1))) (fma.f64 (neg.f64 (log.f64 N)) 1 (*.f64 (log.f64 N) 1)))
(+.f64 (fma.f64 (pow.f64 (cbrt.f64 (log1p.f64 N)) 2) (cbrt.f64 (log1p.f64 N)) (neg.f64 (*.f64 (cbrt.f64 (log.f64 N)) (cbrt.f64 (pow.f64 (log.f64 N) 2))))) (fma.f64 (neg.f64 (cbrt.f64 (log.f64 N))) (cbrt.f64 (pow.f64 (log.f64 N) 2)) (*.f64 (cbrt.f64 (log.f64 N)) (cbrt.f64 (pow.f64 (log.f64 N) 2)))))
(+.f64 (fma.f64 (sqrt.f64 (log1p.f64 N)) (sqrt.f64 (log1p.f64 N)) (neg.f64 (*.f64 (log.f64 N) 1))) (fma.f64 (neg.f64 (log.f64 N)) 1 (*.f64 (log.f64 N) 1)))
(+.f64 (fma.f64 (sqrt.f64 (log1p.f64 N)) (sqrt.f64 (log1p.f64 N)) (neg.f64 (*.f64 (cbrt.f64 (log.f64 N)) (cbrt.f64 (pow.f64 (log.f64 N) 2))))) (fma.f64 (neg.f64 (cbrt.f64 (log.f64 N))) (cbrt.f64 (pow.f64 (log.f64 N) 2)) (*.f64 (cbrt.f64 (log.f64 N)) (cbrt.f64 (pow.f64 (log.f64 N) 2)))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 N 1) N)) 2)) (log.f64 (cbrt.f64 (/.f64 (+.f64 N 1) N))))
(+.f64 (log.f64 (sqrt.f64 (/.f64 (+.f64 N 1) N))) (log.f64 (sqrt.f64 (/.f64 (+.f64 N 1) N))))
(-.f64 (log1p.f64 N) (log.f64 N))
(-.f64 0 (log.f64 (/.f64 N (+.f64 N 1))))
(-.f64 (exp.f64 (log1p.f64 (-.f64 (log1p.f64 N) (log.f64 N)))) 1)
(-.f64 (log.f64 (neg.f64 (+.f64 N 1))) (log.f64 (neg.f64 N)))
(*.f64 1 (-.f64 (log1p.f64 N) (log.f64 N)))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))) 2) (cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))))
(*.f64 (sqrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))) (sqrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))))
(pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 1)
(pow.f64 (cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))) 3)
(pow.f64 (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 3) 1/3)
(pow.f64 (sqrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))) 2)
(neg.f64 (log.f64 (/.f64 N (+.f64 N 1))))
(log.f64 (/.f64 (+.f64 N 1) N))
(log.f64 (+.f64 1 (-.f64 (/.f64 (+.f64 N 1) N) 1)))
(cbrt.f64 (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 3))
(expm1.f64 (log1p.f64 (-.f64 (log1p.f64 N) (log.f64 N))))
(exp.f64 (log.f64 (-.f64 (log1p.f64 N) (log.f64 N))))
(exp.f64 (*.f64 (log.f64 (-.f64 (log1p.f64 N) (log.f64 N))) 1))
(log1p.f64 (-.f64 (/.f64 (+.f64 N 1) N) 1))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (log1p.f64 N) 2))) 1)
(*.f64 1 (pow.f64 (log1p.f64 N) 2))
(*.f64 (log1p.f64 N) (log1p.f64 N))
(*.f64 (cbrt.f64 (pow.f64 (log1p.f64 N) 4)) (pow.f64 (cbrt.f64 (log1p.f64 N)) 2))
(*.f64 (sqrt.f64 (pow.f64 (log1p.f64 N) 2)) (sqrt.f64 (pow.f64 (log1p.f64 N) 2)))
(log.f64 (exp.f64 (pow.f64 (log1p.f64 N) 2)))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (log1p.f64 N) 2))))
(cbrt.f64 (pow.f64 (pow.f64 (log1p.f64 N) 2) 3))
(cbrt.f64 (*.f64 (pow.f64 (log1p.f64 N) 3) (pow.f64 (log1p.f64 N) 3)))
(expm1.f64 (log1p.f64 (pow.f64 (log1p.f64 N) 2)))
(exp.f64 (*.f64 2 (log.f64 (log1p.f64 N))))
(exp.f64 (*.f64 (*.f64 2 (log.f64 (log1p.f64 N))) 1))
(log1p.f64 (expm1.f64 (pow.f64 (log1p.f64 N) 2)))
(-.f64 (exp.f64 (log1p.f64 (cbrt.f64 (log1p.f64 N)))) 1)
(*.f64 1 (cbrt.f64 (log1p.f64 N)))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 N))) 2) (cbrt.f64 (cbrt.f64 (log1p.f64 N))))
(*.f64 (sqrt.f64 (cbrt.f64 (log1p.f64 N))) (sqrt.f64 (cbrt.f64 (log1p.f64 N))))
(*.f64 (pow.f64 1 1/3) (cbrt.f64 (log1p.f64 N)))
(*.f64 (pow.f64 (sqrt.f64 (log1p.f64 N)) 1/3) (pow.f64 (sqrt.f64 (log1p.f64 N)) 1/3))
(*.f64 (cbrt.f64 (sqrt.f64 (log1p.f64 N))) (cbrt.f64 (sqrt.f64 (log1p.f64 N))))
(pow.f64 (log1p.f64 N) 1/3)
(pow.f64 (cbrt.f64 (log1p.f64 N)) 1)
(pow.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 N))) 3)
(pow.f64 (sqrt.f64 (cbrt.f64 (log1p.f64 N))) 2)
(log.f64 (exp.f64 (cbrt.f64 (log1p.f64 N))))
(log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 (log1p.f64 N)))))
(expm1.f64 (log1p.f64 (cbrt.f64 (log1p.f64 N))))
(exp.f64 (log.f64 (cbrt.f64 (log1p.f64 N))))
(exp.f64 (*.f64 (log.f64 (log1p.f64 N)) 1/3))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (log1p.f64 N))) 1))
(log1p.f64 (expm1.f64 (cbrt.f64 (log1p.f64 N))))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (cbrt.f64 (log1p.f64 N)) 2))) 1)
(*.f64 1 (pow.f64 (cbrt.f64 (log1p.f64 N)) 2))
(*.f64 (cbrt.f64 (log1p.f64 N)) (cbrt.f64 (log1p.f64 N)))
(*.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (log1p.f64 N) 4))) (pow.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 N))) 2))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (log1p.f64 N)) 2)) (sqrt.f64 (pow.f64 (cbrt.f64 (log1p.f64 N)) 2)))
(*.f64 (pow.f64 1 1/3) (pow.f64 (cbrt.f64 (log1p.f64 N)) 2))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (log1p.f64 N) 4)) 1/3) (pow.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 N))) 2))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (log1p.f64 N) 2)) 1/3) (pow.f64 (sqrt.f64 (pow.f64 (log1p.f64 N) 2)) 1/3))
(*.f64 (cbrt.f64 (sqrt.f64 (pow.f64 (log1p.f64 N) 2))) (cbrt.f64 (sqrt.f64 (pow.f64 (log1p.f64 N) 2))))
(pow.f64 (log1p.f64 N) 2/3)
(pow.f64 (pow.f64 (log1p.f64 N) 2) 1/3)
(pow.f64 (pow.f64 (cbrt.f64 (log1p.f64 N)) 2) 1)
(pow.f64 (cbrt.f64 (log1p.f64 N)) 2)
(pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 N))) 2) 3)
(pow.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (log1p.f64 N)) 2)) 2)
(log.f64 (exp.f64 (pow.f64 (cbrt.f64 (log1p.f64 N)) 2)))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (cbrt.f64 (log1p.f64 N)) 2))))
(expm1.f64 (log1p.f64 (pow.f64 (cbrt.f64 (log1p.f64 N)) 2)))
(exp.f64 (log.f64 (pow.f64 (cbrt.f64 (log1p.f64 N)) 2)))
(exp.f64 (*.f64 (*.f64 2 (log.f64 (log1p.f64 N))) 1/3))
(exp.f64 (*.f64 (log.f64 (pow.f64 (cbrt.f64 (log1p.f64 N)) 2)) 1))
(exp.f64 (+.f64 (log.f64 (cbrt.f64 (log1p.f64 N))) (log.f64 (cbrt.f64 (log1p.f64 N)))))
(log1p.f64 (expm1.f64 (pow.f64 (cbrt.f64 (log1p.f64 N)) 2)))
Outputs
(*.f64 -2 (pow.f64 N 3))
(+.f64 (*.f64 -4 (pow.f64 N 4)) (*.f64 -2 (pow.f64 N 3)))
(fma.f64 -4 (pow.f64 N 4) (*.f64 -2 (pow.f64 N 3)))
(+.f64 (*.f64 -8 (pow.f64 N 5)) (+.f64 (*.f64 -4 (pow.f64 N 4)) (*.f64 -2 (pow.f64 N 3))))
(fma.f64 -8 (pow.f64 N 5) (fma.f64 -4 (pow.f64 N 4) (*.f64 -2 (pow.f64 N 3))))
(+.f64 (*.f64 -16 (pow.f64 N 6)) (+.f64 (*.f64 -8 (pow.f64 N 5)) (+.f64 (*.f64 -4 (pow.f64 N 4)) (*.f64 -2 (pow.f64 N 3)))))
(fma.f64 -16 (pow.f64 N 6) (fma.f64 -8 (pow.f64 N 5) (fma.f64 -4 (pow.f64 N 4) (*.f64 -2 (pow.f64 N 3)))))
(pow.f64 N 2)
(+.f64 (*.f64 1/2 N) (pow.f64 N 2))
(fma.f64 1/2 N (pow.f64 N 2))
(*.f64 N (+.f64 N 1/2))
(+.f64 1/4 (+.f64 (*.f64 1/2 N) (pow.f64 N 2)))
(+.f64 (fma.f64 1/2 N (pow.f64 N 2)) 1/4)
(+.f64 (*.f64 N (+.f64 N 1/2)) 1/4)
(+.f64 1/4 (+.f64 (*.f64 1/8 (/.f64 1 N)) (+.f64 (*.f64 1/2 N) (pow.f64 N 2))))
(+.f64 1/4 (+.f64 (fma.f64 1/2 N (pow.f64 N 2)) (/.f64 1/8 N)))
(+.f64 (*.f64 N (+.f64 N 1/2)) (+.f64 (/.f64 1/8 N) 1/4))
(pow.f64 N 2)
(+.f64 (*.f64 1/2 N) (pow.f64 N 2))
(fma.f64 1/2 N (pow.f64 N 2))
(*.f64 N (+.f64 N 1/2))
(+.f64 1/4 (+.f64 (*.f64 1/2 N) (pow.f64 N 2)))
(+.f64 (fma.f64 1/2 N (pow.f64 N 2)) 1/4)
(+.f64 (*.f64 N (+.f64 N 1/2)) 1/4)
(+.f64 1/4 (+.f64 (*.f64 1/8 (/.f64 1 N)) (+.f64 (*.f64 1/2 N) (pow.f64 N 2))))
(+.f64 1/4 (+.f64 (fma.f64 1/2 N (pow.f64 N 2)) (/.f64 1/8 N)))
(+.f64 (*.f64 N (+.f64 N 1/2)) (+.f64 (/.f64 1/8 N) 1/4))
(/.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))))
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(+.f64 (fma.f64 1 (log1p.f64 N) (neg.f64 (*.f64 (cbrt.f64 (log.f64 N)) (cbrt.f64 (pow.f64 (log.f64 N) 2))))) (fma.f64 (neg.f64 (cbrt.f64 (log.f64 N))) (cbrt.f64 (pow.f64 (log.f64 N) 2)) (*.f64 (cbrt.f64 (log.f64 N)) (cbrt.f64 (pow.f64 (log.f64 N) 2)))))
(+.f64 (fma.f64 1 (log1p.f64 N) (*.f64 (cbrt.f64 (log.f64 N)) (neg.f64 (cbrt.f64 (pow.f64 (log.f64 N) 2))))) (fma.f64 (neg.f64 (cbrt.f64 (log.f64 N))) (cbrt.f64 (pow.f64 (log.f64 N) 2)) (*.f64 (cbrt.f64 (log.f64 N)) (cbrt.f64 (pow.f64 (log.f64 N) 2)))))
(+.f64 (-.f64 (log1p.f64 N) (*.f64 (cbrt.f64 (pow.f64 (log.f64 N) 2)) (cbrt.f64 (log.f64 N)))) (*.f64 0 (*.f64 (cbrt.f64 (pow.f64 (log.f64 N) 2)) (cbrt.f64 (log.f64 N)))))
(+.f64 (fma.f64 (pow.f64 (cbrt.f64 (log1p.f64 N)) 2) (cbrt.f64 (log1p.f64 N)) (neg.f64 (*.f64 (log.f64 N) 1))) (fma.f64 (neg.f64 (log.f64 N)) 1 (*.f64 (log.f64 N) 1)))
(+.f64 (fma.f64 1 (log1p.f64 N) (neg.f64 (log.f64 N))) (+.f64 (neg.f64 (log.f64 N)) (log.f64 N)))
(+.f64 (-.f64 (log1p.f64 N) (log.f64 N)) (*.f64 (log.f64 N) 0))
(+.f64 (fma.f64 (pow.f64 (cbrt.f64 (log1p.f64 N)) 2) (cbrt.f64 (log1p.f64 N)) (neg.f64 (*.f64 (cbrt.f64 (log.f64 N)) (cbrt.f64 (pow.f64 (log.f64 N) 2))))) (fma.f64 (neg.f64 (cbrt.f64 (log.f64 N))) (cbrt.f64 (pow.f64 (log.f64 N) 2)) (*.f64 (cbrt.f64 (log.f64 N)) (cbrt.f64 (pow.f64 (log.f64 N) 2)))))
(+.f64 (fma.f64 1 (log1p.f64 N) (*.f64 (cbrt.f64 (log.f64 N)) (neg.f64 (cbrt.f64 (pow.f64 (log.f64 N) 2))))) (fma.f64 (neg.f64 (cbrt.f64 (log.f64 N))) (cbrt.f64 (pow.f64 (log.f64 N) 2)) (*.f64 (cbrt.f64 (log.f64 N)) (cbrt.f64 (pow.f64 (log.f64 N) 2)))))
(+.f64 (-.f64 (log1p.f64 N) (*.f64 (cbrt.f64 (pow.f64 (log.f64 N) 2)) (cbrt.f64 (log.f64 N)))) (*.f64 0 (*.f64 (cbrt.f64 (pow.f64 (log.f64 N) 2)) (cbrt.f64 (log.f64 N)))))
(+.f64 (fma.f64 (sqrt.f64 (log1p.f64 N)) (sqrt.f64 (log1p.f64 N)) (neg.f64 (*.f64 (log.f64 N) 1))) (fma.f64 (neg.f64 (log.f64 N)) 1 (*.f64 (log.f64 N) 1)))
(+.f64 (fma.f64 1 (log1p.f64 N) (neg.f64 (log.f64 N))) (+.f64 (neg.f64 (log.f64 N)) (log.f64 N)))
(+.f64 (-.f64 (log1p.f64 N) (log.f64 N)) (*.f64 (log.f64 N) 0))
(+.f64 (fma.f64 (sqrt.f64 (log1p.f64 N)) (sqrt.f64 (log1p.f64 N)) (neg.f64 (*.f64 (cbrt.f64 (log.f64 N)) (cbrt.f64 (pow.f64 (log.f64 N) 2))))) (fma.f64 (neg.f64 (cbrt.f64 (log.f64 N))) (cbrt.f64 (pow.f64 (log.f64 N) 2)) (*.f64 (cbrt.f64 (log.f64 N)) (cbrt.f64 (pow.f64 (log.f64 N) 2)))))
(+.f64 (fma.f64 1 (log1p.f64 N) (*.f64 (cbrt.f64 (log.f64 N)) (neg.f64 (cbrt.f64 (pow.f64 (log.f64 N) 2))))) (fma.f64 (neg.f64 (cbrt.f64 (log.f64 N))) (cbrt.f64 (pow.f64 (log.f64 N) 2)) (*.f64 (cbrt.f64 (log.f64 N)) (cbrt.f64 (pow.f64 (log.f64 N) 2)))))
(+.f64 (-.f64 (log1p.f64 N) (*.f64 (cbrt.f64 (pow.f64 (log.f64 N) 2)) (cbrt.f64 (log.f64 N)))) (*.f64 0 (*.f64 (cbrt.f64 (pow.f64 (log.f64 N) 2)) (cbrt.f64 (log.f64 N)))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 N 1) N)) 2)) (log.f64 (cbrt.f64 (/.f64 (+.f64 N 1) N))))
(-.f64 (log1p.f64 N) (log.f64 N))
(+.f64 (log.f64 (sqrt.f64 (/.f64 (+.f64 N 1) N))) (log.f64 (sqrt.f64 (/.f64 (+.f64 N 1) N))))
(-.f64 (log1p.f64 N) (log.f64 N))
(-.f64 (log1p.f64 N) (log.f64 N))
(-.f64 0 (log.f64 (/.f64 N (+.f64 N 1))))
(-.f64 (log1p.f64 N) (log.f64 N))
(-.f64 (exp.f64 (log1p.f64 (-.f64 (log1p.f64 N) (log.f64 N)))) 1)
(-.f64 (log1p.f64 N) (log.f64 N))
(-.f64 (log.f64 (neg.f64 (+.f64 N 1))) (log.f64 (neg.f64 N)))
(-.f64 (log.f64 (+.f64 (neg.f64 N) -1)) (log.f64 (neg.f64 N)))
(-.f64 (log.f64 (-.f64 -1 N)) (log.f64 (neg.f64 N)))
(*.f64 1 (-.f64 (log1p.f64 N) (log.f64 N)))
(-.f64 (log1p.f64 N) (log.f64 N))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))) 2) (cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))))
(-.f64 (log1p.f64 N) (log.f64 N))
(*.f64 (sqrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))) (sqrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))))
(-.f64 (log1p.f64 N) (log.f64 N))
(pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 1)
(-.f64 (log1p.f64 N) (log.f64 N))
(pow.f64 (cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))) 3)
(-.f64 (log1p.f64 N) (log.f64 N))
(pow.f64 (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 3) 1/3)
(-.f64 (log1p.f64 N) (log.f64 N))
(pow.f64 (sqrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))) 2)
(-.f64 (log1p.f64 N) (log.f64 N))
(neg.f64 (log.f64 (/.f64 N (+.f64 N 1))))
(-.f64 (log1p.f64 N) (log.f64 N))
(log.f64 (/.f64 (+.f64 N 1) N))
(-.f64 (log1p.f64 N) (log.f64 N))
(log.f64 (+.f64 1 (-.f64 (/.f64 (+.f64 N 1) N) 1)))
(log1p.f64 (+.f64 (/.f64 (+.f64 N 1) N) -1))
(log.f64 (+.f64 (/.f64 (+.f64 N 1) N) 0))
(cbrt.f64 (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 3))
(-.f64 (log1p.f64 N) (log.f64 N))
(expm1.f64 (log1p.f64 (-.f64 (log1p.f64 N) (log.f64 N))))
(-.f64 (log1p.f64 N) (log.f64 N))
(exp.f64 (log.f64 (-.f64 (log1p.f64 N) (log.f64 N))))
(-.f64 (log1p.f64 N) (log.f64 N))
(exp.f64 (*.f64 (log.f64 (-.f64 (log1p.f64 N) (log.f64 N))) 1))
(-.f64 (log1p.f64 N) (log.f64 N))
(log1p.f64 (-.f64 (/.f64 (+.f64 N 1) N) 1))
(log1p.f64 (+.f64 (/.f64 (+.f64 N 1) N) -1))
(log.f64 (+.f64 (/.f64 (+.f64 N 1) N) 0))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (log1p.f64 N) 2))) 1)
(pow.f64 (log1p.f64 N) 2)
(*.f64 1 (pow.f64 (log1p.f64 N) 2))
(pow.f64 (log1p.f64 N) 2)
(*.f64 (log1p.f64 N) (log1p.f64 N))
(pow.f64 (log1p.f64 N) 2)
(*.f64 (cbrt.f64 (pow.f64 (log1p.f64 N) 4)) (pow.f64 (cbrt.f64 (log1p.f64 N)) 2))
(*.f64 (pow.f64 (cbrt.f64 (log1p.f64 N)) 2) (cbrt.f64 (pow.f64 (log1p.f64 N) 4)))
(*.f64 (cbrt.f64 (pow.f64 (log1p.f64 N) 2)) (cbrt.f64 (pow.f64 (log1p.f64 N) 4)))
(*.f64 (sqrt.f64 (pow.f64 (log1p.f64 N) 2)) (sqrt.f64 (pow.f64 (log1p.f64 N) 2)))
(pow.f64 (log1p.f64 N) 2)
(log.f64 (exp.f64 (pow.f64 (log1p.f64 N) 2)))
(pow.f64 (log1p.f64 N) 2)
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (log1p.f64 N) 2))))
(pow.f64 (log1p.f64 N) 2)
(cbrt.f64 (pow.f64 (pow.f64 (log1p.f64 N) 2) 3))
(pow.f64 (log1p.f64 N) 2)
(cbrt.f64 (*.f64 (pow.f64 (log1p.f64 N) 3) (pow.f64 (log1p.f64 N) 3)))
(pow.f64 (log1p.f64 N) 2)
(expm1.f64 (log1p.f64 (pow.f64 (log1p.f64 N) 2)))
(pow.f64 (log1p.f64 N) 2)
(exp.f64 (*.f64 2 (log.f64 (log1p.f64 N))))
(pow.f64 (log1p.f64 N) 2)
(exp.f64 (*.f64 (*.f64 2 (log.f64 (log1p.f64 N))) 1))
(pow.f64 (log1p.f64 N) 2)
(log1p.f64 (expm1.f64 (pow.f64 (log1p.f64 N) 2)))
(pow.f64 (log1p.f64 N) 2)
(-.f64 (exp.f64 (log1p.f64 (cbrt.f64 (log1p.f64 N)))) 1)
(cbrt.f64 (log1p.f64 N))
(*.f64 1 (cbrt.f64 (log1p.f64 N)))
(cbrt.f64 (log1p.f64 N))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 N))) 2) (cbrt.f64 (cbrt.f64 (log1p.f64 N))))
(cbrt.f64 (log1p.f64 N))
(*.f64 (sqrt.f64 (cbrt.f64 (log1p.f64 N))) (sqrt.f64 (cbrt.f64 (log1p.f64 N))))
(cbrt.f64 (log1p.f64 N))
(*.f64 (pow.f64 1 1/3) (cbrt.f64 (log1p.f64 N)))
(cbrt.f64 (log1p.f64 N))
(*.f64 (pow.f64 (sqrt.f64 (log1p.f64 N)) 1/3) (pow.f64 (sqrt.f64 (log1p.f64 N)) 1/3))
(*.f64 (cbrt.f64 (sqrt.f64 (log1p.f64 N))) (cbrt.f64 (sqrt.f64 (log1p.f64 N))))
(*.f64 (cbrt.f64 (sqrt.f64 (log1p.f64 N))) (cbrt.f64 (sqrt.f64 (log1p.f64 N))))
(pow.f64 (log1p.f64 N) 1/3)
(cbrt.f64 (log1p.f64 N))
(pow.f64 (cbrt.f64 (log1p.f64 N)) 1)
(cbrt.f64 (log1p.f64 N))
(pow.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 N))) 3)
(cbrt.f64 (log1p.f64 N))
(pow.f64 (sqrt.f64 (cbrt.f64 (log1p.f64 N))) 2)
(cbrt.f64 (log1p.f64 N))
(log.f64 (exp.f64 (cbrt.f64 (log1p.f64 N))))
(cbrt.f64 (log1p.f64 N))
(log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 (log1p.f64 N)))))
(cbrt.f64 (log1p.f64 N))
(expm1.f64 (log1p.f64 (cbrt.f64 (log1p.f64 N))))
(cbrt.f64 (log1p.f64 N))
(exp.f64 (log.f64 (cbrt.f64 (log1p.f64 N))))
(cbrt.f64 (log1p.f64 N))
(exp.f64 (*.f64 (log.f64 (log1p.f64 N)) 1/3))
(cbrt.f64 (log1p.f64 N))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (log1p.f64 N))) 1))
(cbrt.f64 (log1p.f64 N))
(log1p.f64 (expm1.f64 (cbrt.f64 (log1p.f64 N))))
(cbrt.f64 (log1p.f64 N))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (cbrt.f64 (log1p.f64 N)) 2))) 1)
(pow.f64 (cbrt.f64 (log1p.f64 N)) 2)
(cbrt.f64 (pow.f64 (log1p.f64 N) 2))
(*.f64 1 (pow.f64 (cbrt.f64 (log1p.f64 N)) 2))
(pow.f64 (cbrt.f64 (log1p.f64 N)) 2)
(cbrt.f64 (pow.f64 (log1p.f64 N) 2))
(*.f64 (cbrt.f64 (log1p.f64 N)) (cbrt.f64 (log1p.f64 N)))
(pow.f64 (cbrt.f64 (log1p.f64 N)) 2)
(cbrt.f64 (pow.f64 (log1p.f64 N) 2))
(*.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (log1p.f64 N) 4))) (pow.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 N))) 2))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 N))) 2) (cbrt.f64 (cbrt.f64 (pow.f64 (log1p.f64 N) 4))))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (log1p.f64 N)) 2)) (sqrt.f64 (pow.f64 (cbrt.f64 (log1p.f64 N)) 2)))
(pow.f64 (cbrt.f64 (log1p.f64 N)) 2)
(cbrt.f64 (pow.f64 (log1p.f64 N) 2))
(*.f64 (pow.f64 1 1/3) (pow.f64 (cbrt.f64 (log1p.f64 N)) 2))
(pow.f64 (cbrt.f64 (log1p.f64 N)) 2)
(cbrt.f64 (pow.f64 (log1p.f64 N) 2))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (log1p.f64 N) 4)) 1/3) (pow.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 N))) 2))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 N))) 2) (cbrt.f64 (cbrt.f64 (pow.f64 (log1p.f64 N) 4))))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (log1p.f64 N) 2)) 1/3) (pow.f64 (sqrt.f64 (pow.f64 (log1p.f64 N) 2)) 1/3))
(*.f64 (cbrt.f64 (sqrt.f64 (pow.f64 (log1p.f64 N) 2))) (cbrt.f64 (sqrt.f64 (pow.f64 (log1p.f64 N) 2))))
(*.f64 (cbrt.f64 (fabs.f64 (log1p.f64 N))) (cbrt.f64 (fabs.f64 (log1p.f64 N))))
(*.f64 (cbrt.f64 (sqrt.f64 (pow.f64 (log1p.f64 N) 2))) (cbrt.f64 (sqrt.f64 (pow.f64 (log1p.f64 N) 2))))
(*.f64 (cbrt.f64 (fabs.f64 (log1p.f64 N))) (cbrt.f64 (fabs.f64 (log1p.f64 N))))
(pow.f64 (log1p.f64 N) 2/3)
(pow.f64 (cbrt.f64 (log1p.f64 N)) 2)
(cbrt.f64 (pow.f64 (log1p.f64 N) 2))
(pow.f64 (pow.f64 (log1p.f64 N) 2) 1/3)
(pow.f64 (cbrt.f64 (log1p.f64 N)) 2)
(cbrt.f64 (pow.f64 (log1p.f64 N) 2))
(pow.f64 (pow.f64 (cbrt.f64 (log1p.f64 N)) 2) 1)
(pow.f64 (cbrt.f64 (log1p.f64 N)) 2)
(cbrt.f64 (pow.f64 (log1p.f64 N) 2))
(pow.f64 (cbrt.f64 (log1p.f64 N)) 2)
(cbrt.f64 (pow.f64 (log1p.f64 N) 2))
(pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 N))) 2) 3)
(pow.f64 (cbrt.f64 (log1p.f64 N)) 2)
(cbrt.f64 (pow.f64 (log1p.f64 N) 2))
(pow.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (log1p.f64 N)) 2)) 2)
(pow.f64 (cbrt.f64 (log1p.f64 N)) 2)
(cbrt.f64 (pow.f64 (log1p.f64 N) 2))
(log.f64 (exp.f64 (pow.f64 (cbrt.f64 (log1p.f64 N)) 2)))
(pow.f64 (cbrt.f64 (log1p.f64 N)) 2)
(cbrt.f64 (pow.f64 (log1p.f64 N) 2))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (cbrt.f64 (log1p.f64 N)) 2))))
(pow.f64 (cbrt.f64 (log1p.f64 N)) 2)
(cbrt.f64 (pow.f64 (log1p.f64 N) 2))
(expm1.f64 (log1p.f64 (pow.f64 (cbrt.f64 (log1p.f64 N)) 2)))
(pow.f64 (cbrt.f64 (log1p.f64 N)) 2)
(cbrt.f64 (pow.f64 (log1p.f64 N) 2))
(exp.f64 (log.f64 (pow.f64 (cbrt.f64 (log1p.f64 N)) 2)))
(pow.f64 (cbrt.f64 (log1p.f64 N)) 2)
(cbrt.f64 (pow.f64 (log1p.f64 N) 2))
(exp.f64 (*.f64 (*.f64 2 (log.f64 (log1p.f64 N))) 1/3))
(pow.f64 (cbrt.f64 (log1p.f64 N)) 2)
(cbrt.f64 (pow.f64 (log1p.f64 N) 2))
(exp.f64 (*.f64 (log.f64 (pow.f64 (cbrt.f64 (log1p.f64 N)) 2)) 1))
(pow.f64 (cbrt.f64 (log1p.f64 N)) 2)
(cbrt.f64 (pow.f64 (log1p.f64 N) 2))
(exp.f64 (+.f64 (log.f64 (cbrt.f64 (log1p.f64 N))) (log.f64 (cbrt.f64 (log1p.f64 N)))))
(pow.f64 (cbrt.f64 (log1p.f64 N)) 2)
(cbrt.f64 (pow.f64 (log1p.f64 N) 2))
(log1p.f64 (expm1.f64 (pow.f64 (cbrt.f64 (log1p.f64 N)) 2)))
(pow.f64 (cbrt.f64 (log1p.f64 N)) 2)
(cbrt.f64 (pow.f64 (log1p.f64 N) 2))

eval516.0ms (4.2%)

Compiler

Compiled 20635 to 16058 computations (22.2% saved)

prune169.0ms (1.4%)

Pruning

32 alts after pruning (26 fresh and 6 done)

PrunedKeptTotal
New6308638
Fresh91827
Picked325
Done145
Total64332675
Accuracy
99.8%
Counts
675 → 32
Alt Table
Click to see full alt table
StatusAccuracyProgram
27.3%
(fma.f64 (sqrt.f64 (log1p.f64 N)) (sqrt.f64 (log1p.f64 N)) (neg.f64 (log.f64 N)))
28.1%
(fma.f64 (cbrt.f64 (pow.f64 (log1p.f64 N) 2)) (cbrt.f64 (log1p.f64 N)) (neg.f64 (log.f64 N)))
26.4%
(pow.f64 (sqrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))) 2)
29.4%
(pow.f64 (sqrt.f64 (log.f64 (/.f64 (+.f64 N 1) N))) 2)
26.4%
(pow.f64 (log.f64 (exp.f64 (sqrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))))) 2)
26.3%
(pow.f64 (cbrt.f64 (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 3/2)) 2)
82.6%
(/.f64 1 N)
91.2%
(-.f64 (/.f64 1 N) (/.f64 1/2 (pow.f64 N 2)))
26.3%
(-.f64 (log1p.f64 N) (log.f64 N))
93.7%
(+.f64 (/.f64 N (/.f64 (pow.f64 N 3) (+.f64 N -1/2))) (*.f64 1/3 (pow.f64 N -3)))
95.1%
(+.f64 (/.f64 1 N) (+.f64 (/.f64 1/3 (pow.f64 N 3)) (+.f64 (/.f64 -1/4 (pow.f64 N 4)) (/.f64 -1/2 (pow.f64 N 2)))))
93.6%
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 (*.f64 N (-.f64 N 1/2)) (pow.f64 N 3)))
93.7%
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 1 (/.f64 (pow.f64 N 3) (*.f64 N (-.f64 N 1/2)))))
94.0%
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (-.f64 (/.f64 1 N) (/.f64 1/2 (pow.f64 N 2))))
88.4%
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (+.f64 (/.f64 N (pow.f64 (pow.f64 (/.f64 (pow.f64 N 3) (+.f64 N -1/2)) 3) 1/3)) (*.f64 -1/4 (pow.f64 N -4))))
95.0%
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (+.f64 (/.f64 N (+.f64 (*.f64 N (+.f64 N 1/2)) (+.f64 (/.f64 1/8 N) 1/4))) (*.f64 -1/4 (pow.f64 N -4))))
94.0%
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (+.f64 (/.f64 N (+.f64 (*.f64 N (+.f64 N 1/2)) 1/4)) (*.f64 -1/4 (pow.f64 N -4))))
89.6%
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (+.f64 (/.f64 N (expm1.f64 (log1p.f64 (/.f64 (pow.f64 N 3) (+.f64 N -1/2))))) (*.f64 -1/4 (pow.f64 N -4))))
95.0%
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (+.f64 (*.f64 (pow.f64 N -2) (+.f64 N -1/2)) (*.f64 -1/4 (pow.f64 N -4))))
94.7%
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (+.f64 (*.f64 N (/.f64 1 (/.f64 (pow.f64 N 3) (+.f64 N -1/2)))) (*.f64 -1/4 (pow.f64 N -4))))
93.7%
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (*.f64 N (*.f64 (+.f64 N -1/2) (pow.f64 N -3))))
90.9%
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (exp.f64 (log.f64 (-.f64 (/.f64 1 N) (fma.f64 1/2 (pow.f64 N -2) (*.f64 1/4 (pow.f64 N -4)))))))
27.3%
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 N 1) N)) 2)) (log.f64 (cbrt.f64 (/.f64 (+.f64 N 1) N))))
26.3%
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N)))) 2) 3) (cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))))
26.4%
(*.f64 (cbrt.f64 (pow.f64 (/.f64 1 (/.f64 (+.f64 (log1p.f64 N) (log.f64 N)) (-.f64 (pow.f64 (log1p.f64 N) 2) (pow.f64 (log.f64 N) 2)))) 3/2)) (cbrt.f64 (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 3/2)))
26.0%
(*.f64 (cbrt.f64 (pow.f64 (-.f64 (*.f64 3 (log.f64 (cbrt.f64 (+.f64 N 1)))) (log.f64 N)) 3/2)) (cbrt.f64 (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 3/2)))
27.0%
(*.f64 (cbrt.f64 (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 3/2)) (cbrt.f64 (pow.f64 (*.f64 2 (log.f64 (sqrt.f64 (/.f64 (+.f64 N 1) N)))) 3/2)))
26.9%
(*.f64 (cbrt.f64 (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 3/2)) (cbrt.f64 (pow.f64 (log.f64 (/.f64 (+.f64 N 1) N)) 3/2)))
28.1%
(*.f64 2 (log.f64 (sqrt.f64 (/.f64 (+.f64 N 1) N))))
29.9%
(neg.f64 (log.f64 (/.f64 N (+.f64 N 1))))
29.4%
(log.f64 (/.f64 (+.f64 N 1) N))
26.3%
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N)))) 3))
Compiler

Compiled 987 to 757 computations (23.3% saved)

localize365.0ms (2.9%)

Localize:

Found 17 expressions with local error:

NewAccuracyProgram
100.0%
(log1p.f64 N)
99.8%
(sqrt.f64 (log1p.f64 N))
27.6%
(fma.f64 (sqrt.f64 (log1p.f64 N)) (sqrt.f64 (log1p.f64 N)) (neg.f64 (log.f64 N)))
99.6%
(*.f64 (log.f64 (cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N)))) 3)
99.0%
(cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N)))
95.5%
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N)))) 3))
26.3%
(-.f64 (log1p.f64 N) (log.f64 N))
99.9%
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 1 (/.f64 (pow.f64 N 3) (*.f64 N (-.f64 N 1/2)))))
99.9%
(/.f64 1 (/.f64 (pow.f64 N 3) (*.f64 N (-.f64 N 1/2))))
99.5%
(/.f64 (pow.f64 N 3) (*.f64 N (-.f64 N 1/2)))
99.4%
(/.f64 1/3 (pow.f64 N 3))
100.0%
(/.f64 N (+.f64 N 1))
29.9%
(log.f64 (/.f64 N (+.f64 N 1)))
99.8%
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (+.f64 (/.f64 -1/4 (pow.f64 N 4)) (/.f64 -1/2 (pow.f64 N 2))))
99.6%
(/.f64 -1/2 (pow.f64 N 2))
99.6%
(/.f64 -1/4 (pow.f64 N 4))
99.4%
(/.f64 1/3 (pow.f64 N 3))
Compiler

Compiled 231 to 140 computations (39.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 188.0ms
Operation ival-pow, time spent: 49.0ms, 26.0% of total-time
Operation ival-div, time spent: 47.0ms, 25.0% of total-time
Operation ival-log, time spent: 28.0ms, 15.0% of total-time
Operation ival-add, time spent: 14.0ms, 7.0% of total-time
Operation ival-mult, time spent: 11.0ms, 6.0% of total-time
Operation const, time spent: 9.0ms, 5.0% of total-time
Operation ival-sub, time spent: 8.0ms, 4.0% of total-time
Operation ival-log1p, time spent: 6.0ms, 3.0% of total-time
Operation ival-sqrt, time spent: 5.0ms, 3.0% of total-time
Operation ival-fma, time spent: 4.0ms, 2.0% of total-time
Operation ival-exp, time spent: 3.0ms, 2.0% of total-time
Operation ival-cbrt, time spent: 2.0ms, 1.0% of total-time
Operation ival-neg, time spent: 2.0ms, 1.0% of total-time

series35.0ms (0.3%)

Counts
13 → 101
Calls

39 calls:

TimeVariablePointExpression
7.0ms
N
@-inf
(*.f64 (log.f64 (cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N)))) 3)
5.0ms
N
@0
(*.f64 (log.f64 (cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N)))) 3)
4.0ms
N
@0
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N)))) 3))
3.0ms
N
@-inf
(fma.f64 (sqrt.f64 (log1p.f64 N)) (sqrt.f64 (log1p.f64 N)) (neg.f64 (log.f64 N)))
2.0ms
N
@-inf
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N)))) 3))

rewrite144.0ms (1.2%)

Algorithm
batch-egg-rewrite
Rules
289×log1p-expm1-u
289×expm1-log1p-u
277×add-exp-log
273×add-log-exp
273×pow1
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
041399
1669330
Stop Event
node limit
Counts
13 → 437
Calls
Call 1
Inputs
(/.f64 -1/4 (pow.f64 N 4))
(/.f64 -1/2 (pow.f64 N 2))
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (+.f64 (/.f64 -1/4 (pow.f64 N 4)) (/.f64 -1/2 (pow.f64 N 2))))
(log.f64 (/.f64 N (+.f64 N 1)))
(/.f64 N (+.f64 N 1))
(/.f64 (pow.f64 N 3) (*.f64 N (-.f64 N 1/2)))
(/.f64 1 (/.f64 (pow.f64 N 3) (*.f64 N (-.f64 N 1/2))))
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 1 (/.f64 (pow.f64 N 3) (*.f64 N (-.f64 N 1/2)))))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N)))) 3))
(cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N)))
(*.f64 (log.f64 (cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N)))) 3)
(fma.f64 (sqrt.f64 (log1p.f64 N)) (sqrt.f64 (log1p.f64 N)) (neg.f64 (log.f64 N)))
(sqrt.f64 (log1p.f64 N))
Outputs
(-.f64 (exp.f64 (log1p.f64 (*.f64 -1/4 (pow.f64 N -4)))) 1)
(*.f64 -1/4 (pow.f64 N -4))
(*.f64 1 (*.f64 -1/4 (pow.f64 N -4)))
(*.f64 (cbrt.f64 (/.f64 1/16 (pow.f64 N 8))) (cbrt.f64 (*.f64 -1/4 (pow.f64 N -4))))
(*.f64 (/.f64 (sqrt.f64 -1/4) (pow.f64 N 2)) (/.f64 (sqrt.f64 -1/4) (pow.f64 N 2)))
(*.f64 1/4 (/.f64 1 (neg.f64 (pow.f64 N 4))))
(pow.f64 (*.f64 -1/4 (pow.f64 N -4)) 1)
(pow.f64 (cbrt.f64 (*.f64 -1/4 (pow.f64 N -4))) 3)
(pow.f64 (/.f64 -1/64 (pow.f64 (pow.f64 N 4) 3)) 1/3)
(pow.f64 (/.f64 (sqrt.f64 -1/4) (pow.f64 N 2)) 2)
(pow.f64 (*.f64 (pow.f64 N 4) -4) -1)
(sqrt.f64 (/.f64 1/16 (pow.f64 N 8)))
(log.f64 (pow.f64 (exp.f64 -1/4) (pow.f64 N -4)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 -1/4 (pow.f64 N -4)))))
(cbrt.f64 (/.f64 -1/64 (pow.f64 (pow.f64 N 4) 3)))
(expm1.f64 (log1p.f64 (*.f64 -1/4 (pow.f64 N -4))))
(exp.f64 (log.f64 (*.f64 -1/4 (pow.f64 N -4))))
(exp.f64 (*.f64 (log.f64 (*.f64 -1/4 (pow.f64 N -4))) 1))
(log1p.f64 (expm1.f64 (*.f64 -1/4 (pow.f64 N -4))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 -1/2 (pow.f64 N -2)))) 1)
(*.f64 -1/2 (pow.f64 N -2))
(*.f64 1 (*.f64 -1/2 (pow.f64 N -2)))
(*.f64 1/2 (/.f64 1 (neg.f64 (pow.f64 N 2))))
(*.f64 (cbrt.f64 (/.f64 1/4 (pow.f64 N 4))) (cbrt.f64 (*.f64 -1/2 (pow.f64 N -2))))
(*.f64 (/.f64 (sqrt.f64 -1/2) N) (/.f64 (sqrt.f64 -1/2) N))
(pow.f64 (*.f64 -1/2 (pow.f64 N -2)) 1)
(pow.f64 (cbrt.f64 (*.f64 -1/2 (pow.f64 N -2))) 3)
(pow.f64 (/.f64 -1/8 (pow.f64 N 6)) 1/3)
(pow.f64 (/.f64 (sqrt.f64 -1/2) N) 2)
(pow.f64 (*.f64 (pow.f64 N 2) -2) -1)
(sqrt.f64 (/.f64 1/4 (pow.f64 N 4)))
(log.f64 (pow.f64 (exp.f64 -1/2) (pow.f64 N -2)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 -1/2 (pow.f64 N -2)))))
(cbrt.f64 (/.f64 -1/8 (pow.f64 N 6)))
(expm1.f64 (log1p.f64 (*.f64 -1/2 (pow.f64 N -2))))
(exp.f64 (log.f64 (*.f64 -1/2 (pow.f64 N -2))))
(exp.f64 (*.f64 (log.f64 (*.f64 -1/2 (pow.f64 N -2))) 1))
(log1p.f64 (expm1.f64 (*.f64 -1/2 (pow.f64 N -2))))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 1/3 (pow.f64 N -3) (fma.f64 -1/4 (pow.f64 N -4) (*.f64 -1/2 (pow.f64 N -2)))))) 1)
(-.f64 (/.f64 (/.f64 1/9 (pow.f64 N 6)) (-.f64 (*.f64 1/3 (pow.f64 N -3)) (fma.f64 -1/4 (pow.f64 N -4) (*.f64 -1/2 (pow.f64 N -2))))) (/.f64 (pow.f64 (fma.f64 -1/4 (pow.f64 N -4) (*.f64 -1/2 (pow.f64 N -2))) 2) (-.f64 (*.f64 1/3 (pow.f64 N -3)) (fma.f64 -1/4 (pow.f64 N -4) (*.f64 -1/2 (pow.f64 N -2))))))
(*.f64 1 (fma.f64 1/3 (pow.f64 N -3) (fma.f64 -1/4 (pow.f64 N -4) (*.f64 -1/2 (pow.f64 N -2)))))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 1/3 (pow.f64 N -3) (fma.f64 -1/4 (pow.f64 N -4) (*.f64 -1/2 (pow.f64 N -2))))) 2) (cbrt.f64 (fma.f64 1/3 (pow.f64 N -3) (fma.f64 -1/4 (pow.f64 N -4) (*.f64 -1/2 (pow.f64 N -2))))))
(*.f64 (sqrt.f64 (fma.f64 1/3 (pow.f64 N -3) (fma.f64 -1/4 (pow.f64 N -4) (*.f64 -1/2 (pow.f64 N -2))))) (sqrt.f64 (fma.f64 1/3 (pow.f64 N -3) (fma.f64 -1/4 (pow.f64 N -4) (*.f64 -1/2 (pow.f64 N -2))))))
(*.f64 (+.f64 (*.f64 1/27 (pow.f64 (pow.f64 N -3) 3)) (pow.f64 (fma.f64 -1/4 (pow.f64 N -4) (*.f64 -1/2 (pow.f64 N -2))) 3)) (/.f64 1 (+.f64 (/.f64 1/9 (pow.f64 N 6)) (-.f64 (pow.f64 (fma.f64 -1/4 (pow.f64 N -4) (*.f64 -1/2 (pow.f64 N -2))) 2) (*.f64 (*.f64 1/3 (pow.f64 N -3)) (fma.f64 -1/4 (pow.f64 N -4) (*.f64 -1/2 (pow.f64 N -2))))))))
(*.f64 (-.f64 (/.f64 1/9 (pow.f64 N 6)) (pow.f64 (fma.f64 -1/4 (pow.f64 N -4) (*.f64 -1/2 (pow.f64 N -2))) 2)) (/.f64 1 (-.f64 (*.f64 1/3 (pow.f64 N -3)) (fma.f64 -1/4 (pow.f64 N -4) (*.f64 -1/2 (pow.f64 N -2))))))
(/.f64 1 (/.f64 (+.f64 (/.f64 1/9 (pow.f64 N 6)) (-.f64 (pow.f64 (fma.f64 -1/4 (pow.f64 N -4) (*.f64 -1/2 (pow.f64 N -2))) 2) (*.f64 (*.f64 1/3 (pow.f64 N -3)) (fma.f64 -1/4 (pow.f64 N -4) (*.f64 -1/2 (pow.f64 N -2)))))) (+.f64 (*.f64 1/27 (pow.f64 (pow.f64 N -3) 3)) (pow.f64 (fma.f64 -1/4 (pow.f64 N -4) (*.f64 -1/2 (pow.f64 N -2))) 3))))
(/.f64 1 (/.f64 (-.f64 (*.f64 1/3 (pow.f64 N -3)) (fma.f64 -1/4 (pow.f64 N -4) (*.f64 -1/2 (pow.f64 N -2)))) (-.f64 (/.f64 1/9 (pow.f64 N 6)) (pow.f64 (fma.f64 -1/4 (pow.f64 N -4) (*.f64 -1/2 (pow.f64 N -2))) 2))))
(/.f64 (+.f64 (*.f64 1/27 (pow.f64 (pow.f64 N -3) 3)) (pow.f64 (fma.f64 -1/4 (pow.f64 N -4) (*.f64 -1/2 (pow.f64 N -2))) 3)) (+.f64 (/.f64 1/9 (pow.f64 N 6)) (-.f64 (pow.f64 (fma.f64 -1/4 (pow.f64 N -4) (*.f64 -1/2 (pow.f64 N -2))) 2) (*.f64 (*.f64 1/3 (pow.f64 N -3)) (fma.f64 -1/4 (pow.f64 N -4) (*.f64 -1/2 (pow.f64 N -2)))))))
(/.f64 (-.f64 (/.f64 1/9 (pow.f64 N 6)) (pow.f64 (fma.f64 -1/4 (pow.f64 N -4) (*.f64 -1/2 (pow.f64 N -2))) 2)) (-.f64 (*.f64 1/3 (pow.f64 N -3)) (fma.f64 -1/4 (pow.f64 N -4) (*.f64 -1/2 (pow.f64 N -2)))))
(/.f64 (+.f64 (*.f64 1/3 (pow.f64 N 6)) (*.f64 (pow.f64 N 3) (fma.f64 -1/4 (pow.f64 N 2) (*.f64 (pow.f64 N 4) -1/2)))) (*.f64 (pow.f64 N 3) (pow.f64 N 6)))
(/.f64 (+.f64 (*.f64 1/3 (+.f64 (/.f64 1/16 (pow.f64 N 8)) (-.f64 (/.f64 1/4 (pow.f64 N 4)) (/.f64 1/8 (pow.f64 N 6))))) (*.f64 (pow.f64 N 3) (+.f64 (/.f64 -1/64 (pow.f64 (pow.f64 N 4) 3)) (/.f64 -1/8 (pow.f64 N 6))))) (*.f64 (pow.f64 N 3) (+.f64 (/.f64 1/16 (pow.f64 N 8)) (-.f64 (/.f64 1/4 (pow.f64 N 4)) (/.f64 1/8 (pow.f64 N 6))))))
(/.f64 (+.f64 (*.f64 1/3 (-.f64 (*.f64 -1/4 (pow.f64 N -4)) (*.f64 -1/2 (pow.f64 N -2)))) (*.f64 (pow.f64 N 3) (-.f64 (/.f64 1/16 (pow.f64 N 8)) (/.f64 1/4 (pow.f64 N 4))))) (*.f64 (pow.f64 N 3) (-.f64 (*.f64 -1/4 (pow.f64 N -4)) (*.f64 -1/2 (pow.f64 N -2)))))
(/.f64 (+.f64 (pow.f64 N 6) (*.f64 (*.f64 (pow.f64 N 3) 3) (fma.f64 -1/4 (pow.f64 N 2) (*.f64 (pow.f64 N 4) -1/2)))) (*.f64 (*.f64 (pow.f64 N 3) 3) (pow.f64 N 6)))
(/.f64 (+.f64 (+.f64 (/.f64 1/16 (pow.f64 N 8)) (-.f64 (/.f64 1/4 (pow.f64 N 4)) (/.f64 1/8 (pow.f64 N 6)))) (*.f64 (*.f64 (pow.f64 N 3) 3) (+.f64 (/.f64 -1/64 (pow.f64 (pow.f64 N 4) 3)) (/.f64 -1/8 (pow.f64 N 6))))) (*.f64 (*.f64 (pow.f64 N 3) 3) (+.f64 (/.f64 1/16 (pow.f64 N 8)) (-.f64 (/.f64 1/4 (pow.f64 N 4)) (/.f64 1/8 (pow.f64 N 6))))))
(/.f64 (+.f64 (-.f64 (*.f64 -1/4 (pow.f64 N -4)) (*.f64 -1/2 (pow.f64 N -2))) (*.f64 (*.f64 (pow.f64 N 3) 3) (-.f64 (/.f64 1/16 (pow.f64 N 8)) (/.f64 1/4 (pow.f64 N 4))))) (*.f64 (*.f64 (pow.f64 N 3) 3) (-.f64 (*.f64 -1/4 (pow.f64 N -4)) (*.f64 -1/2 (pow.f64 N -2)))))
(/.f64 (+.f64 (*.f64 -1/3 (pow.f64 N 6)) (*.f64 (neg.f64 (pow.f64 N 3)) (fma.f64 -1/4 (pow.f64 N 2) (*.f64 (pow.f64 N 4) -1/2)))) (*.f64 (neg.f64 (pow.f64 N 3)) (pow.f64 N 6)))
(/.f64 (+.f64 (*.f64 -1/3 (+.f64 (/.f64 1/16 (pow.f64 N 8)) (-.f64 (/.f64 1/4 (pow.f64 N 4)) (/.f64 1/8 (pow.f64 N 6))))) (*.f64 (neg.f64 (pow.f64 N 3)) (+.f64 (/.f64 -1/64 (pow.f64 (pow.f64 N 4) 3)) (/.f64 -1/8 (pow.f64 N 6))))) (*.f64 (neg.f64 (pow.f64 N 3)) (+.f64 (/.f64 1/16 (pow.f64 N 8)) (-.f64 (/.f64 1/4 (pow.f64 N 4)) (/.f64 1/8 (pow.f64 N 6))))))
(/.f64 (+.f64 (*.f64 -1/3 (-.f64 (*.f64 -1/4 (pow.f64 N -4)) (*.f64 -1/2 (pow.f64 N -2)))) (*.f64 (neg.f64 (pow.f64 N 3)) (-.f64 (/.f64 1/16 (pow.f64 N 8)) (/.f64 1/4 (pow.f64 N 4))))) (*.f64 (neg.f64 (pow.f64 N 3)) (-.f64 (*.f64 -1/4 (pow.f64 N -4)) (*.f64 -1/2 (pow.f64 N -2)))))
(/.f64 (+.f64 (*.f64 (fma.f64 -1/4 (pow.f64 N 2) (*.f64 (pow.f64 N 4) -1/2)) (pow.f64 N 3)) (*.f64 (pow.f64 N 6) 1/3)) (pow.f64 (pow.f64 N 3) 3))
(/.f64 (+.f64 (*.f64 (fma.f64 -1/4 (pow.f64 N 2) (*.f64 (pow.f64 N 4) -1/2)) (*.f64 (pow.f64 N 3) 3)) (*.f64 (pow.f64 N 6) 1)) (*.f64 (pow.f64 N 6) (*.f64 (pow.f64 N 3) 3)))
(/.f64 (+.f64 (*.f64 (fma.f64 -1/4 (pow.f64 N 2) (*.f64 (pow.f64 N 4) -1/2)) (neg.f64 (pow.f64 N 3))) (*.f64 (pow.f64 N 6) -1/3)) (*.f64 (pow.f64 N 6) (neg.f64 (pow.f64 N 3))))
(/.f64 (+.f64 (*.f64 (+.f64 (/.f64 -1/64 (pow.f64 (pow.f64 N 4) 3)) (/.f64 -1/8 (pow.f64 N 6))) (pow.f64 N 3)) (*.f64 (+.f64 (/.f64 1/16 (pow.f64 N 8)) (-.f64 (/.f64 1/4 (pow.f64 N 4)) (/.f64 1/8 (pow.f64 N 6)))) 1/3)) (*.f64 (+.f64 (/.f64 1/16 (pow.f64 N 8)) (-.f64 (/.f64 1/4 (pow.f64 N 4)) (/.f64 1/8 (pow.f64 N 6)))) (pow.f64 N 3)))
(/.f64 (+.f64 (*.f64 (+.f64 (/.f64 -1/64 (pow.f64 (pow.f64 N 4) 3)) (/.f64 -1/8 (pow.f64 N 6))) (*.f64 (pow.f64 N 3) 3)) (*.f64 (+.f64 (/.f64 1/16 (pow.f64 N 8)) (-.f64 (/.f64 1/4 (pow.f64 N 4)) (/.f64 1/8 (pow.f64 N 6)))) 1)) (*.f64 (+.f64 (/.f64 1/16 (pow.f64 N 8)) (-.f64 (/.f64 1/4 (pow.f64 N 4)) (/.f64 1/8 (pow.f64 N 6)))) (*.f64 (pow.f64 N 3) 3)))
(/.f64 (+.f64 (*.f64 (+.f64 (/.f64 -1/64 (pow.f64 (pow.f64 N 4) 3)) (/.f64 -1/8 (pow.f64 N 6))) (neg.f64 (pow.f64 N 3))) (*.f64 (+.f64 (/.f64 1/16 (pow.f64 N 8)) (-.f64 (/.f64 1/4 (pow.f64 N 4)) (/.f64 1/8 (pow.f64 N 6)))) -1/3)) (*.f64 (+.f64 (/.f64 1/16 (pow.f64 N 8)) (-.f64 (/.f64 1/4 (pow.f64 N 4)) (/.f64 1/8 (pow.f64 N 6)))) (neg.f64 (pow.f64 N 3))))
(/.f64 (+.f64 (*.f64 (-.f64 (/.f64 1/16 (pow.f64 N 8)) (/.f64 1/4 (pow.f64 N 4))) (pow.f64 N 3)) (*.f64 (-.f64 (*.f64 -1/4 (pow.f64 N -4)) (*.f64 -1/2 (pow.f64 N -2))) 1/3)) (*.f64 (-.f64 (*.f64 -1/4 (pow.f64 N -4)) (*.f64 -1/2 (pow.f64 N -2))) (pow.f64 N 3)))
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(/.f64 (-.f64 (pow.f64 (log1p.f64 N) 2) (pow.f64 (log.f64 N) 2)) (+.f64 (log1p.f64 N) (log.f64 N)))
(/.f64 (neg.f64 (-.f64 (pow.f64 (log1p.f64 N) 3) (pow.f64 (log.f64 N) 3))) (neg.f64 (+.f64 (pow.f64 (log1p.f64 N) 2) (+.f64 (pow.f64 (log.f64 N) 2) (*.f64 (log1p.f64 N) (log.f64 N))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (log1p.f64 N) 2) (pow.f64 (log.f64 N) 2))) (-.f64 (log.f64 N) (log1p.f64 N)))
(/.f64 (+.f64 (pow.f64 (log1p.f64 N) 3) (pow.f64 (log.f64 N) 3)) (+.f64 (pow.f64 (log1p.f64 N) 2) (-.f64 (pow.f64 (log.f64 N) 2) (*.f64 (log1p.f64 N) (log.f64 N)))))
(pow.f64 (+.f64 (log1p.f64 N) (log.f64 N)) 1)
(pow.f64 (cbrt.f64 (+.f64 (log1p.f64 N) (log.f64 N))) 3)
(pow.f64 (pow.f64 (+.f64 (log1p.f64 N) (log.f64 N)) 3) 1/3)
(pow.f64 (sqrt.f64 (+.f64 (log1p.f64 N) (log.f64 N))) 2)
(pow.f64 (exp.f64 1) (log.f64 (+.f64 (log1p.f64 N) (log.f64 N))))
(pow.f64 (exp.f64 3) (log.f64 (cbrt.f64 (+.f64 (log1p.f64 N) (log.f64 N)))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 (log1p.f64 N) (log.f64 N)))) 2)) (cbrt.f64 (log.f64 (+.f64 (log1p.f64 N) (log.f64 N)))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (+.f64 (log1p.f64 N) (log.f64 N))))) (sqrt.f64 (log.f64 (+.f64 (log1p.f64 N) (log.f64 N)))))
(sqrt.f64 (pow.f64 (+.f64 (log1p.f64 N) (log.f64 N)) 2))
(log.f64 (*.f64 (+.f64 N 1) N))
(log.f64 (+.f64 1 (-.f64 (*.f64 (+.f64 N 1) N) 1)))
(cbrt.f64 (pow.f64 (+.f64 (log1p.f64 N) (log.f64 N)) 3))
(expm1.f64 (log1p.f64 (+.f64 (log1p.f64 N) (log.f64 N))))
(log1p.f64 (-.f64 (*.f64 (+.f64 N 1) N) 1))
(fma.f64 1 (log1p.f64 N) (log.f64 N))
(fma.f64 (sqrt.f64 (log1p.f64 N)) (sqrt.f64 (log1p.f64 N)) (log.f64 N))
(fma.f64 (pow.f64 (cbrt.f64 (log1p.f64 N)) 2) (cbrt.f64 (log1p.f64 N)) (log.f64 N))
(-.f64 (exp.f64 (log1p.f64 (cbrt.f64 (+.f64 (log1p.f64 N) (log.f64 N))))) 1)
(*.f64 1 (cbrt.f64 (+.f64 (log1p.f64 N) (log.f64 N))))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 (log1p.f64 N) (log.f64 N)))) 2) (cbrt.f64 (cbrt.f64 (+.f64 (log1p.f64 N) (log.f64 N)))))
(*.f64 (pow.f64 (+.f64 (log1p.f64 N) (log.f64 N)) 1/6) (pow.f64 (+.f64 (log1p.f64 N) (log.f64 N)) 1/6))
(*.f64 (pow.f64 1 1/3) (cbrt.f64 (+.f64 (log1p.f64 N) (log.f64 N))))
(*.f64 (pow.f64 (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 (sqrt.f64 (+.f64 (log1p.f64 N) (log.f64 N))) 1/3) (pow.f64 (sqrt.f64 (+.f64 (log1p.f64 N) (log.f64 N))) 1/3))
(/.f64 (cbrt.f64 (-.f64 (pow.f64 (log1p.f64 N) 2) (pow.f64 (log.f64 N) 2))) (cbrt.f64 (+.f64 (log1p.f64 N) (log.f64 N))))
(/.f64 (cbrt.f64 (-.f64 (pow.f64 (log1p.f64 N) 3) (pow.f64 (log.f64 N) 3))) (cbrt.f64 (+.f64 (pow.f64 (log1p.f64 N) 2) (+.f64 (pow.f64 (log.f64 N) 2) (*.f64 (log1p.f64 N) (log.f64 N))))))
(pow.f64 (+.f64 (log1p.f64 N) (log.f64 N)) 1/3)
(pow.f64 (cbrt.f64 (+.f64 (log1p.f64 N) (log.f64 N))) 1)
(pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 (log1p.f64 N) (log.f64 N)))) 3)
(pow.f64 (pow.f64 (+.f64 (log1p.f64 N) (log.f64 N)) 1/6) 2)
(pow.f64 (exp.f64 1) (log.f64 (cbrt.f64 (+.f64 (log1p.f64 N) (log.f64 N)))))
(pow.f64 (exp.f64 (cbrt.f64 (pow.f64 (log.f64 (cbrt.f64 (+.f64 (log1p.f64 N) (log.f64 N)))) 2))) (cbrt.f64 (log.f64 (cbrt.f64 (+.f64 (log1p.f64 N) (log.f64 N))))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (cbrt.f64 (+.f64 (log1p.f64 N) (log.f64 N)))))) (sqrt.f64 (log.f64 (cbrt.f64 (+.f64 (log1p.f64 N) (log.f64 N))))))
(sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 (log1p.f64 N) (log.f64 N))) 2))
(log.f64 (exp.f64 (cbrt.f64 (+.f64 (log1p.f64 N) (log.f64 N)))))
(log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 (+.f64 (log1p.f64 N) (log.f64 N))))))
(expm1.f64 (log1p.f64 (cbrt.f64 (+.f64 (log1p.f64 N) (log.f64 N)))))
(exp.f64 (log.f64 (cbrt.f64 (+.f64 (log1p.f64 N) (log.f64 N)))))
(exp.f64 (*.f64 (log.f64 (+.f64 (log1p.f64 N) (log.f64 N))) 1/3))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (+.f64 (log1p.f64 N) (log.f64 N)))) 1))
(log1p.f64 (expm1.f64 (cbrt.f64 (+.f64 (log1p.f64 N) (log.f64 N)))))
(+.f64 0 (log.f64 (+.f64 (log1p.f64 N) (log.f64 N))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (+.f64 (log1p.f64 N) (log.f64 N))) 2)) (log.f64 (cbrt.f64 (+.f64 (log1p.f64 N) (log.f64 N)))))
(+.f64 (log.f64 (sqrt.f64 (+.f64 (log1p.f64 N) (log.f64 N)))) (log.f64 (sqrt.f64 (+.f64 (log1p.f64 N) (log.f64 N)))))
(-.f64 (exp.f64 (log1p.f64 (log.f64 (+.f64 (log1p.f64 N) (log.f64 N))))) 1)
(-.f64 (log.f64 (-.f64 (pow.f64 (log1p.f64 N) 3) (pow.f64 (log.f64 N) 3))) (log.f64 (+.f64 (pow.f64 (log1p.f64 N) 2) (+.f64 (pow.f64 (log.f64 N) 2) (*.f64 (log1p.f64 N) (log.f64 N))))))
(-.f64 (log.f64 (-.f64 (pow.f64 (log1p.f64 N) 2) (pow.f64 (log.f64 N) 2))) (log.f64 (+.f64 (log1p.f64 N) (log.f64 N))))
(pow.f64 (log.f64 (+.f64 (log1p.f64 N) (log.f64 N))) 1)
(pow.f64 (cbrt.f64 (log.f64 (+.f64 (log1p.f64 N) (log.f64 N)))) 3)
(pow.f64 (pow.f64 (log.f64 (+.f64 (log1p.f64 N) (log.f64 N))) 3) 1/3)
(pow.f64 (sqrt.f64 (log.f64 (+.f64 (log1p.f64 N) (log.f64 N)))) 2)
(sqrt.f64 (pow.f64 (log.f64 (+.f64 (log1p.f64 N) (log.f64 N))) 2))
(log.f64 (+.f64 (log1p.f64 N) (log.f64 N)))
(log.f64 (+.f64 1 (-.f64 (+.f64 (log1p.f64 N) (log.f64 N)) 1)))
(cbrt.f64 (pow.f64 (log.f64 (+.f64 (log1p.f64 N) (log.f64 N))) 3))
(expm1.f64 (log1p.f64 (log.f64 (+.f64 (log1p.f64 N) (log.f64 N)))))
(exp.f64 (log.f64 (log.f64 (+.f64 (log1p.f64 N) (log.f64 N)))))
(exp.f64 (*.f64 (log.f64 (log.f64 (+.f64 (log1p.f64 N) (log.f64 N)))) 1))
(log1p.f64 (-.f64 (+.f64 (log1p.f64 N) (log.f64 N)) 1))
(+.f64 (log1p.f64 N) (log.f64 N))
(+.f64 (+.f64 (log1p.f64 N) (log.f64 N)) (fma.f64 (neg.f64 (sqrt.f64 (log.f64 N))) (sqrt.f64 (log.f64 N)) (log.f64 N)))
(+.f64 (fma.f64 1 (log1p.f64 N) (neg.f64 (*.f64 (log.f64 N) 1))) (fma.f64 (log.f64 N) 1 (*.f64 (log.f64 N) 1)))
(+.f64 (fma.f64 1 (log1p.f64 N) (neg.f64 (*.f64 (cbrt.f64 (log.f64 N)) (cbrt.f64 (pow.f64 (log.f64 N) 2))))) (fma.f64 (neg.f64 (cbrt.f64 (log.f64 N))) (cbrt.f64 (pow.f64 (log.f64 N) 2)) (*.f64 (cbrt.f64 (log.f64 N)) (cbrt.f64 (pow.f64 (log.f64 N) 2)))))
(+.f64 (fma.f64 (sqrt.f64 (log1p.f64 N)) (sqrt.f64 (log1p.f64 N)) (neg.f64 (*.f64 (log.f64 N) 1))) (fma.f64 (log.f64 N) 1 (*.f64 (log.f64 N) 1)))
(+.f64 (fma.f64 (sqrt.f64 (log1p.f64 N)) (sqrt.f64 (log1p.f64 N)) (neg.f64 (*.f64 (cbrt.f64 (log.f64 N)) (cbrt.f64 (pow.f64 (log.f64 N) 2))))) (fma.f64 (neg.f64 (cbrt.f64 (log.f64 N))) (cbrt.f64 (pow.f64 (log.f64 N) 2)) (*.f64 (cbrt.f64 (log.f64 N)) (cbrt.f64 (pow.f64 (log.f64 N) 2)))))
(+.f64 (fma.f64 (pow.f64 (cbrt.f64 (log1p.f64 N)) 2) (cbrt.f64 (log1p.f64 N)) (neg.f64 (*.f64 (log.f64 N) 1))) (fma.f64 (log.f64 N) 1 (*.f64 (log.f64 N) 1)))
(+.f64 (fma.f64 (pow.f64 (cbrt.f64 (log1p.f64 N)) 2) (cbrt.f64 (log1p.f64 N)) (neg.f64 (*.f64 (cbrt.f64 (log.f64 N)) (cbrt.f64 (pow.f64 (log.f64 N) 2))))) (fma.f64 (neg.f64 (cbrt.f64 (log.f64 N))) (cbrt.f64 (pow.f64 (log.f64 N) 2)) (*.f64 (cbrt.f64 (log.f64 N)) (cbrt.f64 (pow.f64 (log.f64 N) 2)))))
(-.f64 (log1p.f64 N) (log.f64 N))
(-.f64 (exp.f64 (log1p.f64 (+.f64 (log1p.f64 N) (log.f64 N)))) 1)
(-.f64 (/.f64 (pow.f64 (log1p.f64 N) 3) (+.f64 (pow.f64 (log1p.f64 N) 2) (+.f64 (pow.f64 (log.f64 N) 2) (*.f64 (log1p.f64 N) (log.f64 N))))) (/.f64 (pow.f64 (log.f64 N) 3) (+.f64 (pow.f64 (log1p.f64 N) 2) (+.f64 (pow.f64 (log.f64 N) 2) (*.f64 (log1p.f64 N) (log.f64 N))))))
(-.f64 (/.f64 (pow.f64 (log1p.f64 N) 2) (+.f64 (log1p.f64 N) (log.f64 N))) (/.f64 (pow.f64 (log.f64 N) 2) (+.f64 (log1p.f64 N) (log.f64 N))))
(*.f64 1 (+.f64 (log1p.f64 N) (log.f64 N)))
(*.f64 (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 (+.f64 (pow.f64 (log1p.f64 N) 2) (+.f64 (pow.f64 (log.f64 N) 2) (*.f64 (log1p.f64 N) (log.f64 N))))))
(*.f64 (-.f64 (pow.f64 (log1p.f64 N) 2) (pow.f64 (log.f64 N) 2)) (/.f64 1 (+.f64 (log1p.f64 N) (log.f64 N))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 (log1p.f64 N) (log.f64 N)))) 2) 3) (cbrt.f64 (+.f64 (log1p.f64 N) (log.f64 N))))
(*.f64 (pow.f64 (pow.f64 (+.f64 (log1p.f64 N) (log.f64 N)) 1/6) 3) (pow.f64 (pow.f64 (+.f64 (log1p.f64 N) (log.f64 N)) 1/6) 3))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (log1p.f64 N) 2) (+.f64 (pow.f64 (log.f64 N) 2) (*.f64 (log1p.f64 N) (log.f64 N)))) (-.f64 (pow.f64 (log1p.f64 N) 3) (pow.f64 (log.f64 N) 3))))
(/.f64 1 (/.f64 (+.f64 (log1p.f64 N) (log.f64 N)) (-.f64 (pow.f64 (log1p.f64 N) 2) (pow.f64 (log.f64 N) 2))))
(/.f64 (-.f64 (pow.f64 (log1p.f64 N) 3) (pow.f64 (log.f64 N) 3)) (+.f64 (pow.f64 (log1p.f64 N) 2) (+.f64 (pow.f64 (log.f64 N) 2) (*.f64 (log1p.f64 N) (log.f64 N)))))
(/.f64 (-.f64 (pow.f64 (log1p.f64 N) 2) (pow.f64 (log.f64 N) 2)) (+.f64 (log1p.f64 N) (log.f64 N)))
(/.f64 (neg.f64 (-.f64 (pow.f64 (log1p.f64 N) 3) (pow.f64 (log.f64 N) 3))) (neg.f64 (+.f64 (pow.f64 (log1p.f64 N) 2) (+.f64 (pow.f64 (log.f64 N) 2) (*.f64 (log1p.f64 N) (log.f64 N))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (log1p.f64 N) 2) (pow.f64 (log.f64 N) 2))) (-.f64 (log.f64 N) (log1p.f64 N)))
(/.f64 (+.f64 (pow.f64 (log1p.f64 N) 3) (pow.f64 (log.f64 N) 3)) (+.f64 (pow.f64 (log1p.f64 N) 2) (-.f64 (pow.f64 (log.f64 N) 2) (*.f64 (log1p.f64 N) (log.f64 N)))))
(pow.f64 (+.f64 (log1p.f64 N) (log.f64 N)) 1)
(pow.f64 (cbrt.f64 (+.f64 (log1p.f64 N) (log.f64 N))) 3)
(pow.f64 (pow.f64 (+.f64 (log1p.f64 N) (log.f64 N)) 3) 1/3)
(pow.f64 (sqrt.f64 (+.f64 (log1p.f64 N) (log.f64 N))) 2)
(pow.f64 (exp.f64 1) (log.f64 (+.f64 (log1p.f64 N) (log.f64 N))))
(pow.f64 (exp.f64 3) (log.f64 (cbrt.f64 (+.f64 (log1p.f64 N) (log.f64 N)))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 (log1p.f64 N) (log.f64 N)))) 2)) (cbrt.f64 (log.f64 (+.f64 (log1p.f64 N) (log.f64 N)))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (+.f64 (log1p.f64 N) (log.f64 N))))) (sqrt.f64 (log.f64 (+.f64 (log1p.f64 N) (log.f64 N)))))
(sqrt.f64 (pow.f64 (+.f64 (log1p.f64 N) (log.f64 N)) 2))
(log.f64 (*.f64 (+.f64 N 1) N))
(log.f64 (+.f64 1 (-.f64 (*.f64 (+.f64 N 1) N) 1)))
(cbrt.f64 (pow.f64 (+.f64 (log1p.f64 N) (log.f64 N)) 3))
(expm1.f64 (log1p.f64 (+.f64 (log1p.f64 N) (log.f64 N))))
(exp.f64 (log.f64 (+.f64 (log1p.f64 N) (log.f64 N))))
(exp.f64 (*.f64 (log.f64 (+.f64 (log1p.f64 N) (log.f64 N))) 1))
(log1p.f64 (-.f64 (*.f64 (+.f64 N 1) N) 1))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (log1p.f64 N)))) 1)
(*.f64 1 (sqrt.f64 (log1p.f64 N)))
(*.f64 (cbrt.f64 (log1p.f64 N)) (cbrt.f64 (sqrt.f64 (log1p.f64 N))))
(*.f64 (pow.f64 (log1p.f64 N) 1/4) (pow.f64 (log1p.f64 N) 1/4))
(*.f64 (pow.f64 1 1/2) (sqrt.f64 (log1p.f64 N)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (log1p.f64 N)) 2) 1/2) (pow.f64 (cbrt.f64 (log1p.f64 N)) 1/2))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (log1p.f64 N)) 2)) (sqrt.f64 (cbrt.f64 (log1p.f64 N))))
(pow.f64 (log1p.f64 N) 1/2)
(pow.f64 (sqrt.f64 (log1p.f64 N)) 1)
(pow.f64 (cbrt.f64 (sqrt.f64 (log1p.f64 N))) 3)
(pow.f64 (pow.f64 (log1p.f64 N) 3/2) 1/3)
(pow.f64 (pow.f64 (log1p.f64 N) 1/4) 2)
(fabs.f64 (sqrt.f64 (log1p.f64 N)))
(log.f64 (exp.f64 (sqrt.f64 (log1p.f64 N))))
(log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (log1p.f64 N)))))
(cbrt.f64 (pow.f64 (log1p.f64 N) 3/2))
(expm1.f64 (log1p.f64 (sqrt.f64 (log1p.f64 N))))
(exp.f64 (log.f64 (sqrt.f64 (log1p.f64 N))))
(exp.f64 (*.f64 (log.f64 (log1p.f64 N)) 1/2))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (log1p.f64 N))) 1))
(log1p.f64 (expm1.f64 (sqrt.f64 (log1p.f64 N))))

simplify301.0ms (2.4%)

Algorithm
egg-herbie
Rules
1362×fma-def
626×sqr-pow
598×distribute-rgt-in
576×distribute-lft-in
512×*-commutative
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0130632110
1354330572
Stop Event
node limit
Counts
538 → 690
Calls
Call 1
Inputs
(/.f64 -1/4 (pow.f64 N 4))
(-.f64 (*.f64 1/3 (/.f64 1 (pow.f64 N 3))) (*.f64 1/4 (/.f64 1 (pow.f64 N 4))))
(-.f64 (*.f64 1/3 (/.f64 1 (pow.f64 N 3))) (+.f64 (*.f64 1/2 (/.f64 1 (pow.f64 N 2))) (*.f64 1/4 (/.f64 1 (pow.f64 N 4)))))
(-.f64 (*.f64 1/3 (/.f64 1 (pow.f64 N 3))) (+.f64 (*.f64 1/2 (/.f64 1 (pow.f64 N 2))) (*.f64 1/4 (/.f64 1 (pow.f64 N 4)))))
(/.f64 -1/2 (pow.f64 N 2))
(-.f64 (*.f64 1/3 (/.f64 1 (pow.f64 N 3))) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (*.f64 1/3 (/.f64 1 (pow.f64 N 3))) (+.f64 (*.f64 1/4 (/.f64 1 (pow.f64 N 4))) (*.f64 1/2 (/.f64 1 (pow.f64 N 2)))))
(-.f64 (*.f64 1/3 (/.f64 1 (pow.f64 N 3))) (+.f64 (*.f64 1/4 (/.f64 1 (pow.f64 N 4))) (*.f64 1/2 (/.f64 1 (pow.f64 N 2)))))
(/.f64 -1/2 (pow.f64 N 2))
(-.f64 (*.f64 1/3 (/.f64 1 (pow.f64 N 3))) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (*.f64 1/3 (/.f64 1 (pow.f64 N 3))) (+.f64 (*.f64 1/4 (/.f64 1 (pow.f64 N 4))) (*.f64 1/2 (/.f64 1 (pow.f64 N 2)))))
(-.f64 (*.f64 1/3 (/.f64 1 (pow.f64 N 3))) (+.f64 (*.f64 1/4 (/.f64 1 (pow.f64 N 4))) (*.f64 1/2 (/.f64 1 (pow.f64 N 2)))))
(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)))
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N
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1
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1
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N
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N
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(/.f64 1 (/.f64 (+.f64 (pow.f64 (log1p.f64 N) 2) (+.f64 (pow.f64 (log.f64 N) 2) (*.f64 (log1p.f64 N) (log.f64 N)))) (-.f64 (pow.f64 (log1p.f64 N) 3) (pow.f64 (log.f64 N) 3))))
(/.f64 1 (/.f64 (+.f64 (log1p.f64 N) (log.f64 N)) (-.f64 (pow.f64 (log1p.f64 N) 2) (pow.f64 (log.f64 N) 2))))
(/.f64 (-.f64 (pow.f64 (log1p.f64 N) 3) (pow.f64 (log.f64 N) 3)) (+.f64 (pow.f64 (log1p.f64 N) 2) (+.f64 (pow.f64 (log.f64 N) 2) (*.f64 (log1p.f64 N) (log.f64 N)))))
(/.f64 (-.f64 (pow.f64 (log1p.f64 N) 2) (pow.f64 (log.f64 N) 2)) (+.f64 (log1p.f64 N) (log.f64 N)))
(/.f64 (neg.f64 (-.f64 (pow.f64 (log1p.f64 N) 3) (pow.f64 (log.f64 N) 3))) (neg.f64 (+.f64 (pow.f64 (log1p.f64 N) 2) (+.f64 (pow.f64 (log.f64 N) 2) (*.f64 (log1p.f64 N) (log.f64 N))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (log1p.f64 N) 2) (pow.f64 (log.f64 N) 2))) (-.f64 (log.f64 N) (log1p.f64 N)))
(/.f64 (+.f64 (pow.f64 (log1p.f64 N) 3) (pow.f64 (log.f64 N) 3)) (+.f64 (pow.f64 (log1p.f64 N) 2) (-.f64 (pow.f64 (log.f64 N) 2) (*.f64 (log1p.f64 N) (log.f64 N)))))
(pow.f64 (+.f64 (log1p.f64 N) (log.f64 N)) 1)
(pow.f64 (cbrt.f64 (+.f64 (log1p.f64 N) (log.f64 N))) 3)
(pow.f64 (pow.f64 (+.f64 (log1p.f64 N) (log.f64 N)) 3) 1/3)
(pow.f64 (sqrt.f64 (+.f64 (log1p.f64 N) (log.f64 N))) 2)
(pow.f64 (exp.f64 1) (log.f64 (+.f64 (log1p.f64 N) (log.f64 N))))
(pow.f64 (exp.f64 3) (log.f64 (cbrt.f64 (+.f64 (log1p.f64 N) (log.f64 N)))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 (log1p.f64 N) (log.f64 N)))) 2)) (cbrt.f64 (log.f64 (+.f64 (log1p.f64 N) (log.f64 N)))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (+.f64 (log1p.f64 N) (log.f64 N))))) (sqrt.f64 (log.f64 (+.f64 (log1p.f64 N) (log.f64 N)))))
(sqrt.f64 (pow.f64 (+.f64 (log1p.f64 N) (log.f64 N)) 2))
(log.f64 (*.f64 (+.f64 N 1) N))
(log.f64 (+.f64 1 (-.f64 (*.f64 (+.f64 N 1) N) 1)))
(cbrt.f64 (pow.f64 (+.f64 (log1p.f64 N) (log.f64 N)) 3))
(expm1.f64 (log1p.f64 (+.f64 (log1p.f64 N) (log.f64 N))))
(log1p.f64 (-.f64 (*.f64 (+.f64 N 1) N) 1))
(fma.f64 1 (log1p.f64 N) (log.f64 N))
(fma.f64 (sqrt.f64 (log1p.f64 N)) (sqrt.f64 (log1p.f64 N)) (log.f64 N))
(fma.f64 (pow.f64 (cbrt.f64 (log1p.f64 N)) 2) (cbrt.f64 (log1p.f64 N)) (log.f64 N))
(-.f64 (exp.f64 (log1p.f64 (cbrt.f64 (+.f64 (log1p.f64 N) (log.f64 N))))) 1)
(*.f64 1 (cbrt.f64 (+.f64 (log1p.f64 N) (log.f64 N))))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 (log1p.f64 N) (log.f64 N)))) 2) (cbrt.f64 (cbrt.f64 (+.f64 (log1p.f64 N) (log.f64 N)))))
(*.f64 (pow.f64 (+.f64 (log1p.f64 N) (log.f64 N)) 1/6) (pow.f64 (+.f64 (log1p.f64 N) (log.f64 N)) 1/6))
(*.f64 (pow.f64 1 1/3) (cbrt.f64 (+.f64 (log1p.f64 N) (log.f64 N))))
(*.f64 (pow.f64 (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 (sqrt.f64 (+.f64 (log1p.f64 N) (log.f64 N))) 1/3) (pow.f64 (sqrt.f64 (+.f64 (log1p.f64 N) (log.f64 N))) 1/3))
(/.f64 (cbrt.f64 (-.f64 (pow.f64 (log1p.f64 N) 2) (pow.f64 (log.f64 N) 2))) (cbrt.f64 (+.f64 (log1p.f64 N) (log.f64 N))))
(/.f64 (cbrt.f64 (-.f64 (pow.f64 (log1p.f64 N) 3) (pow.f64 (log.f64 N) 3))) (cbrt.f64 (+.f64 (pow.f64 (log1p.f64 N) 2) (+.f64 (pow.f64 (log.f64 N) 2) (*.f64 (log1p.f64 N) (log.f64 N))))))
(pow.f64 (+.f64 (log1p.f64 N) (log.f64 N)) 1/3)
(pow.f64 (cbrt.f64 (+.f64 (log1p.f64 N) (log.f64 N))) 1)
(pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 (log1p.f64 N) (log.f64 N)))) 3)
(pow.f64 (pow.f64 (+.f64 (log1p.f64 N) (log.f64 N)) 1/6) 2)
(pow.f64 (exp.f64 1) (log.f64 (cbrt.f64 (+.f64 (log1p.f64 N) (log.f64 N)))))
(pow.f64 (exp.f64 (cbrt.f64 (pow.f64 (log.f64 (cbrt.f64 (+.f64 (log1p.f64 N) (log.f64 N)))) 2))) (cbrt.f64 (log.f64 (cbrt.f64 (+.f64 (log1p.f64 N) (log.f64 N))))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (cbrt.f64 (+.f64 (log1p.f64 N) (log.f64 N)))))) (sqrt.f64 (log.f64 (cbrt.f64 (+.f64 (log1p.f64 N) (log.f64 N))))))
(sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 (log1p.f64 N) (log.f64 N))) 2))
(log.f64 (exp.f64 (cbrt.f64 (+.f64 (log1p.f64 N) (log.f64 N)))))
(log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 (+.f64 (log1p.f64 N) (log.f64 N))))))
(expm1.f64 (log1p.f64 (cbrt.f64 (+.f64 (log1p.f64 N) (log.f64 N)))))
(exp.f64 (log.f64 (cbrt.f64 (+.f64 (log1p.f64 N) (log.f64 N)))))
(exp.f64 (*.f64 (log.f64 (+.f64 (log1p.f64 N) (log.f64 N))) 1/3))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (+.f64 (log1p.f64 N) (log.f64 N)))) 1))
(log1p.f64 (expm1.f64 (cbrt.f64 (+.f64 (log1p.f64 N) (log.f64 N)))))
(+.f64 0 (log.f64 (+.f64 (log1p.f64 N) (log.f64 N))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (+.f64 (log1p.f64 N) (log.f64 N))) 2)) (log.f64 (cbrt.f64 (+.f64 (log1p.f64 N) (log.f64 N)))))
(+.f64 (log.f64 (sqrt.f64 (+.f64 (log1p.f64 N) (log.f64 N)))) (log.f64 (sqrt.f64 (+.f64 (log1p.f64 N) (log.f64 N)))))
(-.f64 (exp.f64 (log1p.f64 (log.f64 (+.f64 (log1p.f64 N) (log.f64 N))))) 1)
(-.f64 (log.f64 (-.f64 (pow.f64 (log1p.f64 N) 3) (pow.f64 (log.f64 N) 3))) (log.f64 (+.f64 (pow.f64 (log1p.f64 N) 2) (+.f64 (pow.f64 (log.f64 N) 2) (*.f64 (log1p.f64 N) (log.f64 N))))))
(-.f64 (log.f64 (-.f64 (pow.f64 (log1p.f64 N) 2) (pow.f64 (log.f64 N) 2))) (log.f64 (+.f64 (log1p.f64 N) (log.f64 N))))
(pow.f64 (log.f64 (+.f64 (log1p.f64 N) (log.f64 N))) 1)
(pow.f64 (cbrt.f64 (log.f64 (+.f64 (log1p.f64 N) (log.f64 N)))) 3)
(pow.f64 (pow.f64 (log.f64 (+.f64 (log1p.f64 N) (log.f64 N))) 3) 1/3)
(pow.f64 (sqrt.f64 (log.f64 (+.f64 (log1p.f64 N) (log.f64 N)))) 2)
(sqrt.f64 (pow.f64 (log.f64 (+.f64 (log1p.f64 N) (log.f64 N))) 2))
(log.f64 (+.f64 (log1p.f64 N) (log.f64 N)))
(log.f64 (+.f64 1 (-.f64 (+.f64 (log1p.f64 N) (log.f64 N)) 1)))
(cbrt.f64 (pow.f64 (log.f64 (+.f64 (log1p.f64 N) (log.f64 N))) 3))
(expm1.f64 (log1p.f64 (log.f64 (+.f64 (log1p.f64 N) (log.f64 N)))))
(exp.f64 (log.f64 (log.f64 (+.f64 (log1p.f64 N) (log.f64 N)))))
(exp.f64 (*.f64 (log.f64 (log.f64 (+.f64 (log1p.f64 N) (log.f64 N)))) 1))
(log1p.f64 (-.f64 (+.f64 (log1p.f64 N) (log.f64 N)) 1))
(+.f64 (log1p.f64 N) (log.f64 N))
(+.f64 (+.f64 (log1p.f64 N) (log.f64 N)) (fma.f64 (neg.f64 (sqrt.f64 (log.f64 N))) (sqrt.f64 (log.f64 N)) (log.f64 N)))
(+.f64 (fma.f64 1 (log1p.f64 N) (neg.f64 (*.f64 (log.f64 N) 1))) (fma.f64 (log.f64 N) 1 (*.f64 (log.f64 N) 1)))
(+.f64 (fma.f64 1 (log1p.f64 N) (neg.f64 (*.f64 (cbrt.f64 (log.f64 N)) (cbrt.f64 (pow.f64 (log.f64 N) 2))))) (fma.f64 (neg.f64 (cbrt.f64 (log.f64 N))) (cbrt.f64 (pow.f64 (log.f64 N) 2)) (*.f64 (cbrt.f64 (log.f64 N)) (cbrt.f64 (pow.f64 (log.f64 N) 2)))))
(+.f64 (fma.f64 (sqrt.f64 (log1p.f64 N)) (sqrt.f64 (log1p.f64 N)) (neg.f64 (*.f64 (log.f64 N) 1))) (fma.f64 (log.f64 N) 1 (*.f64 (log.f64 N) 1)))
(+.f64 (fma.f64 (sqrt.f64 (log1p.f64 N)) (sqrt.f64 (log1p.f64 N)) (neg.f64 (*.f64 (cbrt.f64 (log.f64 N)) (cbrt.f64 (pow.f64 (log.f64 N) 2))))) (fma.f64 (neg.f64 (cbrt.f64 (log.f64 N))) (cbrt.f64 (pow.f64 (log.f64 N) 2)) (*.f64 (cbrt.f64 (log.f64 N)) (cbrt.f64 (pow.f64 (log.f64 N) 2)))))
(+.f64 (fma.f64 (pow.f64 (cbrt.f64 (log1p.f64 N)) 2) (cbrt.f64 (log1p.f64 N)) (neg.f64 (*.f64 (log.f64 N) 1))) (fma.f64 (log.f64 N) 1 (*.f64 (log.f64 N) 1)))
(+.f64 (fma.f64 (pow.f64 (cbrt.f64 (log1p.f64 N)) 2) (cbrt.f64 (log1p.f64 N)) (neg.f64 (*.f64 (cbrt.f64 (log.f64 N)) (cbrt.f64 (pow.f64 (log.f64 N) 2))))) (fma.f64 (neg.f64 (cbrt.f64 (log.f64 N))) (cbrt.f64 (pow.f64 (log.f64 N) 2)) (*.f64 (cbrt.f64 (log.f64 N)) (cbrt.f64 (pow.f64 (log.f64 N) 2)))))
(-.f64 (log1p.f64 N) (log.f64 N))
(-.f64 (exp.f64 (log1p.f64 (+.f64 (log1p.f64 N) (log.f64 N)))) 1)
(-.f64 (/.f64 (pow.f64 (log1p.f64 N) 3) (+.f64 (pow.f64 (log1p.f64 N) 2) (+.f64 (pow.f64 (log.f64 N) 2) (*.f64 (log1p.f64 N) (log.f64 N))))) (/.f64 (pow.f64 (log.f64 N) 3) (+.f64 (pow.f64 (log1p.f64 N) 2) (+.f64 (pow.f64 (log.f64 N) 2) (*.f64 (log1p.f64 N) (log.f64 N))))))
(-.f64 (/.f64 (pow.f64 (log1p.f64 N) 2) (+.f64 (log1p.f64 N) (log.f64 N))) (/.f64 (pow.f64 (log.f64 N) 2) (+.f64 (log1p.f64 N) (log.f64 N))))
(*.f64 1 (+.f64 (log1p.f64 N) (log.f64 N)))
(*.f64 (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 (+.f64 (pow.f64 (log1p.f64 N) 2) (+.f64 (pow.f64 (log.f64 N) 2) (*.f64 (log1p.f64 N) (log.f64 N))))))
(*.f64 (-.f64 (pow.f64 (log1p.f64 N) 2) (pow.f64 (log.f64 N) 2)) (/.f64 1 (+.f64 (log1p.f64 N) (log.f64 N))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 (log1p.f64 N) (log.f64 N)))) 2) 3) (cbrt.f64 (+.f64 (log1p.f64 N) (log.f64 N))))
(*.f64 (pow.f64 (pow.f64 (+.f64 (log1p.f64 N) (log.f64 N)) 1/6) 3) (pow.f64 (pow.f64 (+.f64 (log1p.f64 N) (log.f64 N)) 1/6) 3))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (log1p.f64 N) 2) (+.f64 (pow.f64 (log.f64 N) 2) (*.f64 (log1p.f64 N) (log.f64 N)))) (-.f64 (pow.f64 (log1p.f64 N) 3) (pow.f64 (log.f64 N) 3))))
(/.f64 1 (/.f64 (+.f64 (log1p.f64 N) (log.f64 N)) (-.f64 (pow.f64 (log1p.f64 N) 2) (pow.f64 (log.f64 N) 2))))
(/.f64 (-.f64 (pow.f64 (log1p.f64 N) 3) (pow.f64 (log.f64 N) 3)) (+.f64 (pow.f64 (log1p.f64 N) 2) (+.f64 (pow.f64 (log.f64 N) 2) (*.f64 (log1p.f64 N) (log.f64 N)))))
(/.f64 (-.f64 (pow.f64 (log1p.f64 N) 2) (pow.f64 (log.f64 N) 2)) (+.f64 (log1p.f64 N) (log.f64 N)))
(/.f64 (neg.f64 (-.f64 (pow.f64 (log1p.f64 N) 3) (pow.f64 (log.f64 N) 3))) (neg.f64 (+.f64 (pow.f64 (log1p.f64 N) 2) (+.f64 (pow.f64 (log.f64 N) 2) (*.f64 (log1p.f64 N) (log.f64 N))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (log1p.f64 N) 2) (pow.f64 (log.f64 N) 2))) (-.f64 (log.f64 N) (log1p.f64 N)))
(/.f64 (+.f64 (pow.f64 (log1p.f64 N) 3) (pow.f64 (log.f64 N) 3)) (+.f64 (pow.f64 (log1p.f64 N) 2) (-.f64 (pow.f64 (log.f64 N) 2) (*.f64 (log1p.f64 N) (log.f64 N)))))
(pow.f64 (+.f64 (log1p.f64 N) (log.f64 N)) 1)
(pow.f64 (cbrt.f64 (+.f64 (log1p.f64 N) (log.f64 N))) 3)
(pow.f64 (pow.f64 (+.f64 (log1p.f64 N) (log.f64 N)) 3) 1/3)
(pow.f64 (sqrt.f64 (+.f64 (log1p.f64 N) (log.f64 N))) 2)
(pow.f64 (exp.f64 1) (log.f64 (+.f64 (log1p.f64 N) (log.f64 N))))
(pow.f64 (exp.f64 3) (log.f64 (cbrt.f64 (+.f64 (log1p.f64 N) (log.f64 N)))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 (log1p.f64 N) (log.f64 N)))) 2)) (cbrt.f64 (log.f64 (+.f64 (log1p.f64 N) (log.f64 N)))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (+.f64 (log1p.f64 N) (log.f64 N))))) (sqrt.f64 (log.f64 (+.f64 (log1p.f64 N) (log.f64 N)))))
(sqrt.f64 (pow.f64 (+.f64 (log1p.f64 N) (log.f64 N)) 2))
(log.f64 (*.f64 (+.f64 N 1) N))
(log.f64 (+.f64 1 (-.f64 (*.f64 (+.f64 N 1) N) 1)))
(cbrt.f64 (pow.f64 (+.f64 (log1p.f64 N) (log.f64 N)) 3))
(expm1.f64 (log1p.f64 (+.f64 (log1p.f64 N) (log.f64 N))))
(exp.f64 (log.f64 (+.f64 (log1p.f64 N) (log.f64 N))))
(exp.f64 (*.f64 (log.f64 (+.f64 (log1p.f64 N) (log.f64 N))) 1))
(log1p.f64 (-.f64 (*.f64 (+.f64 N 1) N) 1))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (log1p.f64 N)))) 1)
(*.f64 1 (sqrt.f64 (log1p.f64 N)))
(*.f64 (cbrt.f64 (log1p.f64 N)) (cbrt.f64 (sqrt.f64 (log1p.f64 N))))
(*.f64 (pow.f64 (log1p.f64 N) 1/4) (pow.f64 (log1p.f64 N) 1/4))
(*.f64 (pow.f64 1 1/2) (sqrt.f64 (log1p.f64 N)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (log1p.f64 N)) 2) 1/2) (pow.f64 (cbrt.f64 (log1p.f64 N)) 1/2))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (log1p.f64 N)) 2)) (sqrt.f64 (cbrt.f64 (log1p.f64 N))))
(pow.f64 (log1p.f64 N) 1/2)
(pow.f64 (sqrt.f64 (log1p.f64 N)) 1)
(pow.f64 (cbrt.f64 (sqrt.f64 (log1p.f64 N))) 3)
(pow.f64 (pow.f64 (log1p.f64 N) 3/2) 1/3)
(pow.f64 (pow.f64 (log1p.f64 N) 1/4) 2)
(fabs.f64 (sqrt.f64 (log1p.f64 N)))
(log.f64 (exp.f64 (sqrt.f64 (log1p.f64 N))))
(log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (log1p.f64 N)))))
(cbrt.f64 (pow.f64 (log1p.f64 N) 3/2))
(expm1.f64 (log1p.f64 (sqrt.f64 (log1p.f64 N))))
(exp.f64 (log.f64 (sqrt.f64 (log1p.f64 N))))
(exp.f64 (*.f64 (log.f64 (log1p.f64 N)) 1/2))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (log1p.f64 N))) 1))
(log1p.f64 (expm1.f64 (sqrt.f64 (log1p.f64 N))))
Outputs
(/.f64 -1/4 (pow.f64 N 4))
(-.f64 (*.f64 1/3 (/.f64 1 (pow.f64 N 3))) (*.f64 1/4 (/.f64 1 (pow.f64 N 4))))
(-.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 1/4 (pow.f64 N 4)))
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 -1/4 (pow.f64 N 4)))
(-.f64 (*.f64 1/3 (/.f64 1 (pow.f64 N 3))) (+.f64 (*.f64 1/2 (/.f64 1 (pow.f64 N 2))) (*.f64 1/4 (/.f64 1 (pow.f64 N 4)))))
(-.f64 (-.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 1/2 (pow.f64 N 2))) (/.f64 1/4 (pow.f64 N 4)))
(+.f64 (-.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 1/2 (pow.f64 N 2))) (/.f64 -1/4 (pow.f64 N 4)))
(-.f64 (*.f64 1/3 (/.f64 1 (pow.f64 N 3))) (+.f64 (*.f64 1/2 (/.f64 1 (pow.f64 N 2))) (*.f64 1/4 (/.f64 1 (pow.f64 N 4)))))
(-.f64 (-.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 1/2 (pow.f64 N 2))) (/.f64 1/4 (pow.f64 N 4)))
(+.f64 (-.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 1/2 (pow.f64 N 2))) (/.f64 -1/4 (pow.f64 N 4)))
(/.f64 -1/2 (pow.f64 N 2))
(-.f64 (*.f64 1/3 (/.f64 1 (pow.f64 N 3))) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 1/2 (pow.f64 N 2)))
(-.f64 (*.f64 1/3 (/.f64 1 (pow.f64 N 3))) (+.f64 (*.f64 1/4 (/.f64 1 (pow.f64 N 4))) (*.f64 1/2 (/.f64 1 (pow.f64 N 2)))))
(-.f64 (-.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 1/2 (pow.f64 N 2))) (/.f64 1/4 (pow.f64 N 4)))
(+.f64 (-.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 1/2 (pow.f64 N 2))) (/.f64 -1/4 (pow.f64 N 4)))
(-.f64 (*.f64 1/3 (/.f64 1 (pow.f64 N 3))) (+.f64 (*.f64 1/4 (/.f64 1 (pow.f64 N 4))) (*.f64 1/2 (/.f64 1 (pow.f64 N 2)))))
(-.f64 (-.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 1/2 (pow.f64 N 2))) (/.f64 1/4 (pow.f64 N 4)))
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N
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1
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1
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N
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N
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(+.f64 (-.f64 (log1p.f64 N) (*.f64 (cbrt.f64 (pow.f64 (log.f64 N) 2)) (cbrt.f64 (log.f64 N)))) (fma.f64 (cbrt.f64 (log.f64 N)) (neg.f64 (cbrt.f64 (pow.f64 (log.f64 N) 2))) (*.f64 (cbrt.f64 (pow.f64 (log.f64 N) 2)) (cbrt.f64 (log.f64 N)))))
(-.f64 (log1p.f64 N) (log.f64 N))
(-.f64 (exp.f64 (log1p.f64 (+.f64 (log1p.f64 N) (log.f64 N)))) 1)
(+.f64 (log.f64 N) (log1p.f64 N))
(-.f64 (/.f64 (pow.f64 (log1p.f64 N) 3) (+.f64 (pow.f64 (log1p.f64 N) 2) (+.f64 (pow.f64 (log.f64 N) 2) (*.f64 (log1p.f64 N) (log.f64 N))))) (/.f64 (pow.f64 (log.f64 N) 3) (+.f64 (pow.f64 (log1p.f64 N) 2) (+.f64 (pow.f64 (log.f64 N) 2) (*.f64 (log1p.f64 N) (log.f64 N))))))
(/.f64 (-.f64 (pow.f64 (log1p.f64 N) 3) (pow.f64 (log.f64 N) 3)) (+.f64 (+.f64 (pow.f64 (log1p.f64 N) 2) (pow.f64 (log.f64 N) 2)) (*.f64 (log.f64 N) (log1p.f64 N))))
(/.f64 (-.f64 (pow.f64 (log1p.f64 N) 3) (pow.f64 (log.f64 N) 3)) (+.f64 (pow.f64 (log1p.f64 N) 2) (fma.f64 (log.f64 N) (log1p.f64 N) (pow.f64 (log.f64 N) 2))))
(-.f64 (/.f64 (pow.f64 (log1p.f64 N) 2) (+.f64 (log1p.f64 N) (log.f64 N))) (/.f64 (pow.f64 (log.f64 N) 2) (+.f64 (log1p.f64 N) (log.f64 N))))
(/.f64 (-.f64 (pow.f64 (log1p.f64 N) 2) (pow.f64 (log.f64 N) 2)) (+.f64 (log.f64 N) (log1p.f64 N)))
(*.f64 1 (+.f64 (log1p.f64 N) (log.f64 N)))
(+.f64 (log.f64 N) (log1p.f64 N))
(*.f64 (cbrt.f64 (+.f64 (log1p.f64 N) (log.f64 N))) (pow.f64 (cbrt.f64 (+.f64 (log1p.f64 N) (log.f64 N))) 2))
(+.f64 (log.f64 N) (log1p.f64 N))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 (log1p.f64 N) (log.f64 N))) 2) (cbrt.f64 (+.f64 (log1p.f64 N) (log.f64 N))))
(+.f64 (log.f64 N) (log1p.f64 N))
(*.f64 (sqrt.f64 (+.f64 (log1p.f64 N) (log.f64 N))) (sqrt.f64 (+.f64 (log1p.f64 N) (log.f64 N))))
(+.f64 (log.f64 N) (log1p.f64 N))
(*.f64 (-.f64 (pow.f64 (log1p.f64 N) 3) (pow.f64 (log.f64 N) 3)) (/.f64 1 (+.f64 (pow.f64 (log1p.f64 N) 2) (+.f64 (pow.f64 (log.f64 N) 2) (*.f64 (log1p.f64 N) (log.f64 N))))))
(/.f64 (-.f64 (pow.f64 (log1p.f64 N) 3) (pow.f64 (log.f64 N) 3)) (+.f64 (+.f64 (pow.f64 (log1p.f64 N) 2) (pow.f64 (log.f64 N) 2)) (*.f64 (log.f64 N) (log1p.f64 N))))
(/.f64 (-.f64 (pow.f64 (log1p.f64 N) 3) (pow.f64 (log.f64 N) 3)) (+.f64 (pow.f64 (log1p.f64 N) 2) (fma.f64 (log.f64 N) (log1p.f64 N) (pow.f64 (log.f64 N) 2))))
(*.f64 (-.f64 (pow.f64 (log1p.f64 N) 2) (pow.f64 (log.f64 N) 2)) (/.f64 1 (+.f64 (log1p.f64 N) (log.f64 N))))
(/.f64 (-.f64 (pow.f64 (log1p.f64 N) 2) (pow.f64 (log.f64 N) 2)) (+.f64 (log.f64 N) (log1p.f64 N)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 (log1p.f64 N) (log.f64 N)))) 2) 3) (cbrt.f64 (+.f64 (log1p.f64 N) (log.f64 N))))
(+.f64 (log.f64 N) (log1p.f64 N))
(*.f64 (pow.f64 (pow.f64 (+.f64 (log1p.f64 N) (log.f64 N)) 1/6) 3) (pow.f64 (pow.f64 (+.f64 (log1p.f64 N) (log.f64 N)) 1/6) 3))
(+.f64 (log.f64 N) (log1p.f64 N))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (log1p.f64 N) 2) (+.f64 (pow.f64 (log.f64 N) 2) (*.f64 (log1p.f64 N) (log.f64 N)))) (-.f64 (pow.f64 (log1p.f64 N) 3) (pow.f64 (log.f64 N) 3))))
(/.f64 (-.f64 (pow.f64 (log1p.f64 N) 3) (pow.f64 (log.f64 N) 3)) (+.f64 (+.f64 (pow.f64 (log1p.f64 N) 2) (pow.f64 (log.f64 N) 2)) (*.f64 (log.f64 N) (log1p.f64 N))))
(/.f64 (-.f64 (pow.f64 (log1p.f64 N) 3) (pow.f64 (log.f64 N) 3)) (+.f64 (pow.f64 (log1p.f64 N) 2) (fma.f64 (log.f64 N) (log1p.f64 N) (pow.f64 (log.f64 N) 2))))
(/.f64 1 (/.f64 (+.f64 (log1p.f64 N) (log.f64 N)) (-.f64 (pow.f64 (log1p.f64 N) 2) (pow.f64 (log.f64 N) 2))))
(/.f64 (-.f64 (pow.f64 (log1p.f64 N) 2) (pow.f64 (log.f64 N) 2)) (+.f64 (log.f64 N) (log1p.f64 N)))
(/.f64 (-.f64 (pow.f64 (log1p.f64 N) 3) (pow.f64 (log.f64 N) 3)) (+.f64 (pow.f64 (log1p.f64 N) 2) (+.f64 (pow.f64 (log.f64 N) 2) (*.f64 (log1p.f64 N) (log.f64 N)))))
(/.f64 (-.f64 (pow.f64 (log1p.f64 N) 3) (pow.f64 (log.f64 N) 3)) (+.f64 (+.f64 (pow.f64 (log1p.f64 N) 2) (pow.f64 (log.f64 N) 2)) (*.f64 (log.f64 N) (log1p.f64 N))))
(/.f64 (-.f64 (pow.f64 (log1p.f64 N) 3) (pow.f64 (log.f64 N) 3)) (+.f64 (pow.f64 (log1p.f64 N) 2) (fma.f64 (log.f64 N) (log1p.f64 N) (pow.f64 (log.f64 N) 2))))
(/.f64 (-.f64 (pow.f64 (log1p.f64 N) 2) (pow.f64 (log.f64 N) 2)) (+.f64 (log1p.f64 N) (log.f64 N)))
(/.f64 (-.f64 (pow.f64 (log1p.f64 N) 2) (pow.f64 (log.f64 N) 2)) (+.f64 (log.f64 N) (log1p.f64 N)))
(/.f64 (neg.f64 (-.f64 (pow.f64 (log1p.f64 N) 3) (pow.f64 (log.f64 N) 3))) (neg.f64 (+.f64 (pow.f64 (log1p.f64 N) 2) (+.f64 (pow.f64 (log.f64 N) 2) (*.f64 (log1p.f64 N) (log.f64 N))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (log1p.f64 N) 3) (pow.f64 (log.f64 N) 3))) (neg.f64 (+.f64 (+.f64 (pow.f64 (log1p.f64 N) 2) (pow.f64 (log.f64 N) 2)) (*.f64 (log.f64 N) (log1p.f64 N)))))
(*.f64 1 (/.f64 (-.f64 (pow.f64 (log1p.f64 N) 3) (pow.f64 (log.f64 N) 3)) (+.f64 (pow.f64 (log1p.f64 N) 2) (fma.f64 (log.f64 N) (log1p.f64 N) (pow.f64 (log.f64 N) 2)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (log1p.f64 N) 2) (pow.f64 (log.f64 N) 2))) (-.f64 (log.f64 N) (log1p.f64 N)))
(/.f64 (+.f64 (pow.f64 (log1p.f64 N) 3) (pow.f64 (log.f64 N) 3)) (+.f64 (pow.f64 (log1p.f64 N) 2) (-.f64 (pow.f64 (log.f64 N) 2) (*.f64 (log1p.f64 N) (log.f64 N)))))
(/.f64 (+.f64 (pow.f64 (log.f64 N) 3) (pow.f64 (log1p.f64 N) 3)) (-.f64 (+.f64 (pow.f64 (log1p.f64 N) 2) (pow.f64 (log.f64 N) 2)) (*.f64 (log.f64 N) (log1p.f64 N))))
(pow.f64 (+.f64 (log1p.f64 N) (log.f64 N)) 1)
(+.f64 (log.f64 N) (log1p.f64 N))
(pow.f64 (cbrt.f64 (+.f64 (log1p.f64 N) (log.f64 N))) 3)
(+.f64 (log.f64 N) (log1p.f64 N))
(pow.f64 (pow.f64 (+.f64 (log1p.f64 N) (log.f64 N)) 3) 1/3)
(+.f64 (log.f64 N) (log1p.f64 N))
(pow.f64 (sqrt.f64 (+.f64 (log1p.f64 N) (log.f64 N))) 2)
(+.f64 (log.f64 N) (log1p.f64 N))
(pow.f64 (exp.f64 1) (log.f64 (+.f64 (log1p.f64 N) (log.f64 N))))
(+.f64 (log.f64 N) (log1p.f64 N))
(pow.f64 (exp.f64 3) (log.f64 (cbrt.f64 (+.f64 (log1p.f64 N) (log.f64 N)))))
(pow.f64 (exp.f64 3) (log.f64 (cbrt.f64 (+.f64 (log.f64 N) (log1p.f64 N)))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 (log1p.f64 N) (log.f64 N)))) 2)) (cbrt.f64 (log.f64 (+.f64 (log1p.f64 N) (log.f64 N)))))
(+.f64 (log.f64 N) (log1p.f64 N))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (+.f64 (log1p.f64 N) (log.f64 N))))) (sqrt.f64 (log.f64 (+.f64 (log1p.f64 N) (log.f64 N)))))
(+.f64 (log.f64 N) (log1p.f64 N))
(sqrt.f64 (pow.f64 (+.f64 (log1p.f64 N) (log.f64 N)) 2))
(sqrt.f64 (pow.f64 (+.f64 (log.f64 N) (log1p.f64 N)) 2))
(fabs.f64 (+.f64 (log.f64 N) (log1p.f64 N)))
(log.f64 (*.f64 (+.f64 N 1) N))
(+.f64 (log.f64 N) (log1p.f64 N))
(log.f64 (+.f64 1 (-.f64 (*.f64 (+.f64 N 1) N) 1)))
(log1p.f64 (fma.f64 (+.f64 N 1) N -1))
(log1p.f64 (fma.f64 N (+.f64 N 1) -1))
(cbrt.f64 (pow.f64 (+.f64 (log1p.f64 N) (log.f64 N)) 3))
(+.f64 (log.f64 N) (log1p.f64 N))
(expm1.f64 (log1p.f64 (+.f64 (log1p.f64 N) (log.f64 N))))
(+.f64 (log.f64 N) (log1p.f64 N))
(exp.f64 (log.f64 (+.f64 (log1p.f64 N) (log.f64 N))))
(+.f64 (log.f64 N) (log1p.f64 N))
(exp.f64 (*.f64 (log.f64 (+.f64 (log1p.f64 N) (log.f64 N))) 1))
(+.f64 (log.f64 N) (log1p.f64 N))
(log1p.f64 (-.f64 (*.f64 (+.f64 N 1) N) 1))
(log1p.f64 (fma.f64 (+.f64 N 1) N -1))
(log1p.f64 (fma.f64 N (+.f64 N 1) -1))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (log1p.f64 N)))) 1)
(sqrt.f64 (log1p.f64 N))
(*.f64 1 (sqrt.f64 (log1p.f64 N)))
(sqrt.f64 (log1p.f64 N))
(*.f64 (cbrt.f64 (log1p.f64 N)) (cbrt.f64 (sqrt.f64 (log1p.f64 N))))
(*.f64 (pow.f64 (log1p.f64 N) 1/4) (pow.f64 (log1p.f64 N) 1/4))
(sqrt.f64 (log1p.f64 N))
(*.f64 (pow.f64 1 1/2) (sqrt.f64 (log1p.f64 N)))
(sqrt.f64 (log1p.f64 N))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (log1p.f64 N)) 2) 1/2) (pow.f64 (cbrt.f64 (log1p.f64 N)) 1/2))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (log1p.f64 N)) 2)) (sqrt.f64 (cbrt.f64 (log1p.f64 N))))
(*.f64 (fabs.f64 (cbrt.f64 (log1p.f64 N))) (sqrt.f64 (cbrt.f64 (log1p.f64 N))))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (log1p.f64 N)) 2)) (sqrt.f64 (cbrt.f64 (log1p.f64 N))))
(*.f64 (fabs.f64 (cbrt.f64 (log1p.f64 N))) (sqrt.f64 (cbrt.f64 (log1p.f64 N))))
(pow.f64 (log1p.f64 N) 1/2)
(sqrt.f64 (log1p.f64 N))
(pow.f64 (sqrt.f64 (log1p.f64 N)) 1)
(sqrt.f64 (log1p.f64 N))
(pow.f64 (cbrt.f64 (sqrt.f64 (log1p.f64 N))) 3)
(sqrt.f64 (log1p.f64 N))
(pow.f64 (pow.f64 (log1p.f64 N) 3/2) 1/3)
(cbrt.f64 (pow.f64 (log1p.f64 N) 3/2))
(pow.f64 (pow.f64 (log1p.f64 N) 1/4) 2)
(sqrt.f64 (log1p.f64 N))
(fabs.f64 (sqrt.f64 (log1p.f64 N)))
(sqrt.f64 (log1p.f64 N))
(log.f64 (exp.f64 (sqrt.f64 (log1p.f64 N))))
(sqrt.f64 (log1p.f64 N))
(log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (log1p.f64 N)))))
(sqrt.f64 (log1p.f64 N))
(cbrt.f64 (pow.f64 (log1p.f64 N) 3/2))
(expm1.f64 (log1p.f64 (sqrt.f64 (log1p.f64 N))))
(sqrt.f64 (log1p.f64 N))
(exp.f64 (log.f64 (sqrt.f64 (log1p.f64 N))))
(sqrt.f64 (log1p.f64 N))
(exp.f64 (*.f64 (log.f64 (log1p.f64 N)) 1/2))
(sqrt.f64 (log1p.f64 N))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (log1p.f64 N))) 1))
(sqrt.f64 (log1p.f64 N))
(log1p.f64 (expm1.f64 (sqrt.f64 (log1p.f64 N))))
(sqrt.f64 (log1p.f64 N))

eval653.0ms (5.3%)

Compiler

Compiled 31053 to 21962 computations (29.3% saved)

prune331.0ms (2.7%)

Pruning

36 alts after pruning (26 fresh and 10 done)

PrunedKeptTotal
New120091209
Fresh41721
Picked145
Done066
Total1205361241
Accuracy
99.8%
Counts
1241 → 36
Alt Table
Click to see full alt table
StatusAccuracyProgram
27.3%
(fma.f64 (sqrt.f64 (log1p.f64 N)) (sqrt.f64 (log1p.f64 N)) (neg.f64 (log.f64 N)))
28.1%
(fma.f64 (cbrt.f64 (pow.f64 (log1p.f64 N) 2)) (cbrt.f64 (log1p.f64 N)) (neg.f64 (log.f64 N)))
26.4%
(pow.f64 (sqrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))) 2)
29.4%
(pow.f64 (sqrt.f64 (log.f64 (/.f64 (+.f64 N 1) N))) 2)
26.4%
(pow.f64 (log.f64 (exp.f64 (sqrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))))) 2)
26.3%
(pow.f64 (cbrt.f64 (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 3/2)) 2)
82.6%
(/.f64 1 N)
91.2%
(-.f64 (/.f64 1 N) (/.f64 1/2 (pow.f64 N 2)))
26.3%
(-.f64 (log1p.f64 N) (log.f64 N))
95.1%
(+.f64 (/.f64 1 N) (+.f64 (/.f64 1/3 (pow.f64 N 3)) (+.f64 (/.f64 -1/4 (pow.f64 N 4)) (/.f64 -1/2 (pow.f64 N 2)))))
93.8%
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 (+.f64 N -1/2) (pow.f64 N 2)))
93.6%
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 (*.f64 N (-.f64 N 1/2)) (pow.f64 N 3)))
93.7%
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 1 (/.f64 (pow.f64 N 3) (*.f64 N (-.f64 N 1/2)))))
91.4%
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 1 (+.f64 N 1/2)))
93.9%
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 1 (+.f64 1/2 (+.f64 N (/.f64 1/4 N)))))
94.0%
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (-.f64 (/.f64 1 N) (/.f64 1/2 (pow.f64 N 2))))
88.4%
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (+.f64 (/.f64 N (pow.f64 (pow.f64 (/.f64 (pow.f64 N 3) (+.f64 N -1/2)) 3) 1/3)) (*.f64 -1/4 (pow.f64 N -4))))
95.0%
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (+.f64 (/.f64 N (+.f64 (*.f64 N (+.f64 N 1/2)) (+.f64 (/.f64 1/8 N) 1/4))) (*.f64 -1/4 (pow.f64 N -4))))
94.0%
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (+.f64 (/.f64 N (+.f64 (*.f64 N (+.f64 N 1/2)) 1/4)) (*.f64 -1/4 (pow.f64 N -4))))
89.6%
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (+.f64 (/.f64 N (expm1.f64 (log1p.f64 (/.f64 (pow.f64 N 3) (+.f64 N -1/2))))) (*.f64 -1/4 (pow.f64 N -4))))
95.0%
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (+.f64 (*.f64 (pow.f64 N -2) (+.f64 N -1/2)) (*.f64 -1/4 (pow.f64 N -4))))
94.7%
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (+.f64 (*.f64 N (/.f64 1 (/.f64 (pow.f64 N 3) (+.f64 N -1/2)))) (*.f64 -1/4 (pow.f64 N -4))))
93.8%
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (*.f64 (pow.f64 N -2) (+.f64 N -1/2)))
93.8%
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (*.f64 (/.f64 (+.f64 N -1/2) 1) (/.f64 N (pow.f64 N 3))))
93.7%
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (*.f64 N (*.f64 (+.f64 N -1/2) (pow.f64 N -3))))
90.9%
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (exp.f64 (log.f64 (-.f64 (/.f64 1 N) (fma.f64 1/2 (pow.f64 N -2) (*.f64 1/4 (pow.f64 N -4)))))))
27.3%
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 N 1) N)) 2)) (log.f64 (cbrt.f64 (/.f64 (+.f64 N 1) N))))
26.3%
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N)))) 2) 3) (cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))))
26.0%
(*.f64 (cbrt.f64 (pow.f64 (-.f64 (*.f64 3 (log.f64 (cbrt.f64 (+.f64 N 1)))) (log.f64 N)) 3/2)) (cbrt.f64 (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 3/2)))
26.9%
(*.f64 (cbrt.f64 (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 3/2)) (cbrt.f64 (pow.f64 (log.f64 (/.f64 (+.f64 N 1) N)) 3/2)))
29.3%
(neg.f64 (*.f64 2 (log.f64 (sqrt.f64 (/.f64 N (+.f64 N 1))))))
29.9%
(neg.f64 (log.f64 (/.f64 N (+.f64 N 1))))
29.4%
(log.f64 (/.f64 (+.f64 N 1) N))
27.3%
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (+.f64 (log.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 N 1) N)) 2)) (log.f64 (cbrt.f64 (/.f64 (+.f64 N 1) N)))))) 3))
29.3%
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (log.f64 (/.f64 (+.f64 N 1) N)))) 3))
26.3%
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (exp.f64 (*.f64 (log.f64 (cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N)))) 3)))) 3))
Compiler

Compiled 1480 to 1078 computations (27.2% saved)

regimes115.0ms (0.9%)

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

2 calls:

82.0ms
N
28.0ms
(-.f64 (log.f64 (+.f64 N 1)) (log.f64 N))
Results
AccuracySegmentsBranch
99.5%2N
99.5%2(-.f64 (log.f64 (+.f64 N 1)) (log.f64 N))
Compiler

Compiled 10 to 7 computations (30% saved)

regimes42.0ms (0.3%)

Counts
27 → 2
Calls
Call 1
Inputs
(/.f64 1 N)
(log.f64 (/.f64 (+.f64 N 1) N))
(neg.f64 (log.f64 (/.f64 N (+.f64 N 1))))
(-.f64 (/.f64 1 N) (/.f64 1/2 (pow.f64 N 2)))
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 1 (+.f64 N 1/2)))
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 1 (+.f64 1/2 (+.f64 N (/.f64 1/4 N)))))
(-.f64 (log1p.f64 N) (log.f64 N))
(-.f64 (log.f64 (+.f64 N 1)) (log.f64 N))
(*.f64 2 (log.f64 (sqrt.f64 (/.f64 (+.f64 N 1) N))))
(neg.f64 (*.f64 2 (log.f64 (sqrt.f64 (/.f64 N (+.f64 N 1))))))
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (*.f64 (pow.f64 N -2) (+.f64 N -1/2)))
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 (+.f64 N -1/2) (pow.f64 N 2)))
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (*.f64 N (*.f64 (+.f64 N -1/2) (pow.f64 N -3))))
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (-.f64 (/.f64 1 N) (/.f64 1/2 (pow.f64 N 2))))
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 (*.f64 N (-.f64 N 1/2)) (pow.f64 N 3)))
(+.f64 (/.f64 1 N) (+.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 -1/2 (pow.f64 N 2))))
(+.f64 (/.f64 N (/.f64 (pow.f64 N 3) (+.f64 N -1/2))) (*.f64 1/3 (pow.f64 N -3)))
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (*.f64 (/.f64 (+.f64 N -1/2) 1) (/.f64 N (pow.f64 N 3))))
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 1 (/.f64 (pow.f64 N 3) (*.f64 N (-.f64 N 1/2)))))
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (+.f64 (/.f64 N (+.f64 (*.f64 N (+.f64 N 1/2)) 1/4)) (*.f64 -1/4 (pow.f64 N -4))))
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (+.f64 (/.f64 N (+.f64 (*.f64 N (+.f64 N 1/2)) (+.f64 (/.f64 1/8 N) 1/4))) (*.f64 -1/4 (pow.f64 N -4))))
(pow.f64 (sqrt.f64 (log.f64 (/.f64 (+.f64 N 1) N))) 2)
(+.f64 (pow.f64 (/.f64 (cbrt.f64 (*.f64 N (+.f64 N -1/2))) N) 3) (*.f64 1/3 (pow.f64 N -3)))
(/.f64 (-.f64 (*.f64 (pow.f64 N 3) -1/3) (*.f64 (pow.f64 N 4) (+.f64 N -1/2))) (neg.f64 (pow.f64 N 6)))
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (+.f64 (*.f64 (pow.f64 N -2) (+.f64 N -1/2)) (*.f64 -1/4 (pow.f64 N -4))))
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 (/.f64 (*.f64 N (-.f64 N 1/2)) (pow.f64 N 3/2)) (pow.f64 N 3/2)))
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (+.f64 (/.f64 N (/.f64 (pow.f64 N 3) (+.f64 N -1/2))) (*.f64 -1/4 (pow.f64 N -4))))
Outputs
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (+.f64 (*.f64 (pow.f64 N -2) (+.f64 N -1/2)) (*.f64 -1/4 (pow.f64 N -4))))
(pow.f64 (sqrt.f64 (log.f64 (/.f64 (+.f64 N 1) N))) 2)
Calls

2 calls:

32.0ms
N
8.0ms
(-.f64 (log.f64 (+.f64 N 1)) (log.f64 N))
Results
AccuracySegmentsBranch
99.4%2N
99.4%2(-.f64 (log.f64 (+.f64 N 1)) (log.f64 N))
Compiler

Compiled 10 to 7 computations (30% saved)

regimes37.0ms (0.3%)

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

2 calls:

28.0ms
N
7.0ms
(-.f64 (log.f64 (+.f64 N 1)) (log.f64 N))
Results
AccuracySegmentsBranch
99.3%2N
99.3%2(-.f64 (log.f64 (+.f64 N 1)) (log.f64 N))
Compiler

Compiled 10 to 7 computations (30% saved)

regimes37.0ms (0.3%)

Counts
21 → 2
Calls
Call 1
Inputs
(/.f64 1 N)
(log.f64 (/.f64 (+.f64 N 1) N))
(neg.f64 (log.f64 (/.f64 N (+.f64 N 1))))
(-.f64 (/.f64 1 N) (/.f64 1/2 (pow.f64 N 2)))
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 1 (+.f64 N 1/2)))
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 1 (+.f64 1/2 (+.f64 N (/.f64 1/4 N)))))
(-.f64 (log1p.f64 N) (log.f64 N))
(-.f64 (log.f64 (+.f64 N 1)) (log.f64 N))
(*.f64 2 (log.f64 (sqrt.f64 (/.f64 (+.f64 N 1) N))))
(neg.f64 (*.f64 2 (log.f64 (sqrt.f64 (/.f64 N (+.f64 N 1))))))
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (*.f64 (pow.f64 N -2) (+.f64 N -1/2)))
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 (+.f64 N -1/2) (pow.f64 N 2)))
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (*.f64 N (*.f64 (+.f64 N -1/2) (pow.f64 N -3))))
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (-.f64 (/.f64 1 N) (/.f64 1/2 (pow.f64 N 2))))
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 (*.f64 N (-.f64 N 1/2)) (pow.f64 N 3)))
(+.f64 (/.f64 1 N) (+.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 -1/2 (pow.f64 N 2))))
(+.f64 (/.f64 N (/.f64 (pow.f64 N 3) (+.f64 N -1/2))) (*.f64 1/3 (pow.f64 N -3)))
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (*.f64 (/.f64 (+.f64 N -1/2) 1) (/.f64 N (pow.f64 N 3))))
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 1 (/.f64 (pow.f64 N 3) (*.f64 N (-.f64 N 1/2)))))
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (+.f64 (/.f64 N (+.f64 (*.f64 N (+.f64 N 1/2)) 1/4)) (*.f64 -1/4 (pow.f64 N -4))))
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (+.f64 (/.f64 N (+.f64 (*.f64 N (+.f64 N 1/2)) (+.f64 (/.f64 1/8 N) 1/4))) (*.f64 -1/4 (pow.f64 N -4))))
Outputs
(log.f64 (/.f64 (+.f64 N 1) N))
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (+.f64 (/.f64 N (+.f64 (*.f64 N (+.f64 N 1/2)) (+.f64 (/.f64 1/8 N) 1/4))) (*.f64 -1/4 (pow.f64 N -4))))
Calls

2 calls:

26.0ms
N
9.0ms
(-.f64 (log.f64 (+.f64 N 1)) (log.f64 N))
Results
AccuracySegmentsBranch
99.3%2(-.f64 (log.f64 (+.f64 N 1)) (log.f64 N))
99.3%2N
Compiler

Compiled 10 to 7 computations (30% saved)

regimes33.0ms (0.3%)

Counts
20 → 2
Calls
Call 1
Inputs
(/.f64 1 N)
(log.f64 (/.f64 (+.f64 N 1) N))
(neg.f64 (log.f64 (/.f64 N (+.f64 N 1))))
(-.f64 (/.f64 1 N) (/.f64 1/2 (pow.f64 N 2)))
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 1 (+.f64 N 1/2)))
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 1 (+.f64 1/2 (+.f64 N (/.f64 1/4 N)))))
(-.f64 (log1p.f64 N) (log.f64 N))
(-.f64 (log.f64 (+.f64 N 1)) (log.f64 N))
(*.f64 2 (log.f64 (sqrt.f64 (/.f64 (+.f64 N 1) N))))
(neg.f64 (*.f64 2 (log.f64 (sqrt.f64 (/.f64 N (+.f64 N 1))))))
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (*.f64 (pow.f64 N -2) (+.f64 N -1/2)))
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 (+.f64 N -1/2) (pow.f64 N 2)))
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (*.f64 N (*.f64 (+.f64 N -1/2) (pow.f64 N -3))))
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (-.f64 (/.f64 1 N) (/.f64 1/2 (pow.f64 N 2))))
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 (*.f64 N (-.f64 N 1/2)) (pow.f64 N 3)))
(+.f64 (/.f64 1 N) (+.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 -1/2 (pow.f64 N 2))))
(+.f64 (/.f64 N (/.f64 (pow.f64 N 3) (+.f64 N -1/2))) (*.f64 1/3 (pow.f64 N -3)))
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (*.f64 (/.f64 (+.f64 N -1/2) 1) (/.f64 N (pow.f64 N 3))))
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 1 (/.f64 (pow.f64 N 3) (*.f64 N (-.f64 N 1/2)))))
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (+.f64 (/.f64 N (+.f64 (*.f64 N (+.f64 N 1/2)) 1/4)) (*.f64 -1/4 (pow.f64 N -4))))
Outputs
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 1 (+.f64 1/2 (+.f64 N (/.f64 1/4 N)))))
(log.f64 (/.f64 (+.f64 N 1) N))
Calls

2 calls:

26.0ms
N
7.0ms
(-.f64 (log.f64 (+.f64 N 1)) (log.f64 N))
Results
AccuracySegmentsBranch
99.1%2N
99.1%2(-.f64 (log.f64 (+.f64 N 1)) (log.f64 N))
Compiler

Compiled 10 to 7 computations (30% saved)

regimes9.0ms (0.1%)

Counts
5 → 2
Calls
Call 1
Inputs
(/.f64 1 N)
(log.f64 (/.f64 (+.f64 N 1) N))
(neg.f64 (log.f64 (/.f64 N (+.f64 N 1))))
(-.f64 (/.f64 1 N) (/.f64 1/2 (pow.f64 N 2)))
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 1 (+.f64 N 1/2)))
Outputs
(log.f64 (/.f64 (+.f64 N 1) N))
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 1 (+.f64 N 1/2)))
Calls

1 calls:

9.0ms
N
Results
AccuracySegmentsBranch
97.7%2N
Compiler

Compiled 2 to 1 computations (50% saved)

regimes10.0ms (0.1%)

Counts
4 → 2
Calls
Call 1
Inputs
(/.f64 1 N)
(log.f64 (/.f64 (+.f64 N 1) N))
(neg.f64 (log.f64 (/.f64 N (+.f64 N 1))))
(-.f64 (/.f64 1 N) (/.f64 1/2 (pow.f64 N 2)))
Outputs
(log.f64 (/.f64 (+.f64 N 1) N))
(-.f64 (/.f64 1 N) (/.f64 1/2 (pow.f64 N 2)))
Calls

1 calls:

9.0ms
N
Results
AccuracySegmentsBranch
97.7%2N
Compiler

Compiled 2 to 1 computations (50% saved)

regimes8.0ms (0.1%)

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

1 calls:

8.0ms
N
Results
AccuracySegmentsBranch
92.2%2N
Compiler

Compiled 2 to 1 computations (50% saved)

regimes6.0ms (0.1%)

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

1 calls:

6.0ms
N
Results
AccuracySegmentsBranch
92.1%2N
Compiler

Compiled 2 to 1 computations (50% 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
82.6%1N
Compiler

Compiled 2 to 1 computations (50% saved)

bsearch1.0ms (0%)

Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.0003347738841590342
0.0011128595969838173
Compiler

Compiled 12 to 9 computations (25% saved)

bsearch0.0ms (0%)

Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.0003347738841590342
0.0011128595969838173
Compiler

Compiled 12 to 9 computations (25% saved)

bsearch23.0ms (0.2%)

Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
23.0ms
898.0860443806695
2986.590859408565
Results
21.0ms79×256valid
0.0ms256valid
Compiler

Compiled 202 to 159 computations (21.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 15.0ms
Operation ival-log, time spent: 14.0ms, 92.0% of total-time
Operation ival-add, time spent: 1.0ms, 7.0% of total-time
Operation ival-sub, time spent: 0.0ms, 0.0% of total-time
Operation const, time spent: 0.0ms, 0.0% of total-time

bsearch14.0ms (0.1%)

Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
14.0ms
898.0860443806695
2986.590859408565
Results
12.0ms79×256valid
0.0ms256valid
Compiler

Compiled 187 to 144 computations (23% saved)

Precisions
Click to see histograms. Total time spent on operations: 6.0ms
Operation ival-log, time spent: 5.0ms, 86.0% of total-time
Operation ival-add, time spent: 1.0ms, 17.0% of total-time
Operation ival-sub, time spent: 0.0ms, 0.0% of total-time
Operation const, time spent: 0.0ms, 0.0% of total-time

bsearch0.0ms (0%)

Algorithm
left-value
Steps
TimeLeftRight
0.0ms
5.557249716758861e-5
9.597197734656504e-5
Compiler

Compiled 12 to 9 computations (25% saved)

bsearch12.0ms (0.1%)

Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
12.0ms
155709.64291494942
369078.04407567094
Results
10.0ms79×256valid
0.0ms256valid
Compiler

Compiled 117 to 94 computations (19.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 5.0ms
Operation ival-log, time spent: 3.0ms, 66.0% of total-time
Operation ival-add, time spent: 1.0ms, 22.0% of total-time
Operation ival-sub, time spent: 0.0ms, 0.0% of total-time
Operation const, time spent: 0.0ms, 0.0% of total-time

bsearch16.0ms (0.1%)

Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
16.0ms
155709.64291494942
369078.04407567094
Results
14.0ms79×256valid
0.0ms256valid
Compiler

Compiled 107 to 84 computations (21.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 5.0ms
Operation ival-log, time spent: 3.0ms, 65.0% of total-time
Operation ival-add, time spent: 1.0ms, 22.0% of total-time
Operation ival-sub, time spent: 0.0ms, 0.0% of total-time
Operation const, time spent: 0.0ms, 0.0% of total-time

bsearch12.0ms (0.1%)

Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
12.0ms
160845496.60225534
410343212.4642863
Results
10.0ms79×256valid
0.0ms256valid
Compiler

Compiled 82 to 64 computations (22% saved)

Precisions
Click to see histograms. Total time spent on operations: 5.0ms
Operation ival-log, time spent: 3.0ms, 66.0% of total-time
Operation ival-add, time spent: 1.0ms, 22.0% of total-time
Operation ival-sub, time spent: 0.0ms, 0.0% of total-time
Operation const, time spent: 0.0ms, 0.0% of total-time

bsearch9.0ms (0.1%)

Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
8.0ms
98784736.91561359
125514138.60961226
Results
7.0ms47×256valid
0.0ms256valid
Compiler

Compiled 51 to 39 computations (23.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 3.0ms
Operation ival-log, time spent: 2.0ms, 73.0% of total-time
Operation ival-sub, time spent: 0.0ms, 0.0% of total-time
Operation ival-add, time spent: 0.0ms, 0.0% of total-time
Operation const, time spent: 0.0ms, 0.0% of total-time

simplify22.0ms (0.2%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
086890
1118890
2134890
3149890
4158890
5162890
6163890
Stop Event
fuel
saturated
Calls
Call 1
Inputs
(if (<=.f64 (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N)) 1152921504606847/2305843009213693952) (+.f64 (/.f64 1/3 (pow.f64 N 3)) (-.f64 (/.f64 1 N) (+.f64 (/.f64 1/2 (pow.f64 N 2)) (/.f64 1/4 (pow.f64 N 4))))) (pow.f64 (sqrt.f64 (log.f64 (/.f64 (+.f64 N 1) N))) 2))
(if (<=.f64 (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N)) 1152921504606847/2305843009213693952) (+.f64 (/.f64 1/3 (pow.f64 N 3)) (+.f64 (*.f64 (pow.f64 N -2) (+.f64 N -1/2)) (*.f64 -1/4 (pow.f64 N -4)))) (pow.f64 (sqrt.f64 (log.f64 (/.f64 (+.f64 N 1) N))) 2))
(if (<=.f64 N 1100) (pow.f64 (sqrt.f64 (log.f64 (/.f64 (+.f64 N 1) N))) 2) (+.f64 (/.f64 1/3 (pow.f64 N 3)) (+.f64 (/.f64 N (+.f64 (*.f64 N (+.f64 N 1/2)) (+.f64 (/.f64 1/8 N) 1/4))) (*.f64 -1/4 (pow.f64 N -4)))))
(if (<=.f64 N 1100) (log.f64 (/.f64 (+.f64 N 1) N)) (+.f64 (/.f64 1/3 (pow.f64 N 3)) (+.f64 (/.f64 N (+.f64 (*.f64 N (+.f64 N 1/2)) (+.f64 (/.f64 1/8 N) 1/4))) (*.f64 -1/4 (pow.f64 N -4)))))
(if (<=.f64 (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N)) 8854437155380585/147573952589676412928) (+.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 1 (+.f64 1/2 (+.f64 N (/.f64 1/4 N))))) (log.f64 (/.f64 (+.f64 N 1) N)))
(if (<=.f64 N 160000) (log.f64 (/.f64 (+.f64 N 1) N)) (+.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 1 (+.f64 N 1/2))))
(if (<=.f64 N 160000) (log.f64 (/.f64 (+.f64 N 1) N)) (-.f64 (/.f64 1 N) (/.f64 1/2 (pow.f64 N 2))))
(if (<=.f64 N 165000000) (neg.f64 (log.f64 (/.f64 N (+.f64 N 1)))) (/.f64 1 N))
(if (<=.f64 N 105000000) (log.f64 (/.f64 (+.f64 N 1) N)) (/.f64 1 N))
(/.f64 1 N)
Outputs
(if (<=.f64 (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N)) 1152921504606847/2305843009213693952) (+.f64 (/.f64 1/3 (pow.f64 N 3)) (-.f64 (/.f64 1 N) (+.f64 (/.f64 1/2 (pow.f64 N 2)) (/.f64 1/4 (pow.f64 N 4))))) (pow.f64 (sqrt.f64 (log.f64 (/.f64 (+.f64 N 1) N))) 2))
(if (<=.f64 (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N)) 1152921504606847/2305843009213693952) (+.f64 (/.f64 1/3 (pow.f64 N 3)) (+.f64 (*.f64 (pow.f64 N -2) (+.f64 N -1/2)) (*.f64 -1/4 (pow.f64 N -4)))) (pow.f64 (sqrt.f64 (log.f64 (/.f64 (+.f64 N 1) N))) 2))
(if (<=.f64 N 1100) (pow.f64 (sqrt.f64 (log.f64 (/.f64 (+.f64 N 1) N))) 2) (+.f64 (/.f64 1/3 (pow.f64 N 3)) (+.f64 (/.f64 N (+.f64 (*.f64 N (+.f64 N 1/2)) (+.f64 (/.f64 1/8 N) 1/4))) (*.f64 -1/4 (pow.f64 N -4)))))
(if (<=.f64 N 1100) (pow.f64 (sqrt.f64 (log.f64 (/.f64 (+.f64 N 1) N))) 2) (+.f64 (/.f64 1/3 (pow.f64 N 3)) (+.f64 (*.f64 -1/4 (pow.f64 N -4)) (/.f64 N (+.f64 (*.f64 N (+.f64 N 1/2)) (+.f64 1/4 (/.f64 1/8 N)))))))
(if (<=.f64 N 1100) (log.f64 (/.f64 (+.f64 N 1) N)) (+.f64 (/.f64 1/3 (pow.f64 N 3)) (+.f64 (/.f64 N (+.f64 (*.f64 N (+.f64 N 1/2)) (+.f64 (/.f64 1/8 N) 1/4))) (*.f64 -1/4 (pow.f64 N -4)))))
(if (<=.f64 N 1100) (log.f64 (/.f64 (+.f64 N 1) N)) (+.f64 (/.f64 1/3 (pow.f64 N 3)) (+.f64 (*.f64 -1/4 (pow.f64 N -4)) (/.f64 N (+.f64 (*.f64 N (+.f64 N 1/2)) (+.f64 1/4 (/.f64 1/8 N)))))))
(if (<=.f64 (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N)) 8854437155380585/147573952589676412928) (+.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 1 (+.f64 1/2 (+.f64 N (/.f64 1/4 N))))) (log.f64 (/.f64 (+.f64 N 1) N)))
(if (<=.f64 N 160000) (log.f64 (/.f64 (+.f64 N 1) N)) (+.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 1 (+.f64 N 1/2))))
(if (<=.f64 N 160000) (log.f64 (/.f64 (+.f64 N 1) N)) (-.f64 (/.f64 1 N) (/.f64 1/2 (pow.f64 N 2))))
(if (<=.f64 N 165000000) (neg.f64 (log.f64 (/.f64 N (+.f64 N 1)))) (/.f64 1 N))
(if (<=.f64 N 105000000) (log.f64 (/.f64 (+.f64 N 1) N)) (/.f64 1 N))
(/.f64 1 N)
Compiler

Compiled 262 to 202 computations (22.9% saved)

soundness2.9s (23.3%)

Rules
2592×fma-def
1870×fma-def
1362×fma-def
1362×fma-def
1052×fma-def
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
017128
133104
265100
3125100
4272100
5525100
680096
7128696
8203596
9345096
10412396
11415196
12417596
13417596
14624996
15668696
16703896
17703896
18744096
19797596
03244880
17984638
224234610
0929
19229
2119729
0929
19229
2119729
053422
1879384
03244880
17984638
224234610
03244880
17984638
224234610
033334
1512326
27567326
0130632110
1354330572
0130632110
1354330572
033334
1512326
27567326
0101527702
1287126358
092423286
1246721729
053422
1879384
Stop Event
node limit
node limit
node limit
node limit
node limit
node limit
node limit
node limit
node limit
node limit
node limit
node limit
node limit
node limit
Compiler

Compiled 1565 to 1209 computations (22.7% saved)

end0.0ms (0%)

preprocess170.0ms (1.4%)

Compiler

Compiled 532 to 402 computations (24.4% saved)

Profiling

Loading profile data...