2log (problem 3.3.6)

Time bar (total: 9.3s)

analyze2.0ms (0%)

Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%100%0%0%0%0%0
0%0%100%0%0%0%0%1
50%50%50%0%0%0%0%2
66.7%50%25%0%0%25%0%3
80%50%12.5%0%0%37.5%0%4
88.9%50%6.2%0%0%43.7%0%5
94.1%50%3.1%0%0%46.9%0%6
97%50%1.6%0%0%48.4%0%7
98.5%50%0.8%0%0%49.2%0%8
99.2%50%0.4%0%0%49.6%0%9
99.6%50%0.2%0%0%49.8%0%10
99.8%50%0.1%0%0%49.9%0%11
99.9%50%0%0%0%49.9%0%12
Compiler

Compiled 9 to 7 computations (22.2% saved)

sample1.5s (16.6%)

Results
688.0ms4954×body256valid
544.0ms1987×body1024valid
182.0ms1028×body512valid
117.0ms287×body2048valid
1.0msbody256invalid
Bogosity

preprocess21.0ms (0.2%)

Algorithm
egg-herbie
Rules
132×fma-def
24×sub-neg
20×distribute-rgt-in
20×unsub-neg
18×associate--r+
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0921
11415
21915
32715
43615
55315
69015
712615
817515
921015
1023615
1123815
011
Stop Event
saturated
saturated
Calls
Call 1
Inputs
0
Outputs
0
Call 2
Inputs
(-.f64 (log.f64 (+.f64 N 1)) (log.f64 N))
Outputs
(-.f64 (log.f64 (+.f64 N 1)) (log.f64 N))
(-.f64 (log1p.f64 N) (log.f64 N))
Compiler

Compiled 9 to 7 computations (22.2% saved)

simplify19.0ms (0.2%)

Algorithm
egg-herbie
Rules
132×fma-def
24×sub-neg
20×distribute-rgt-in
20×unsub-neg
18×associate--r+
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0921
11415
21915
32715
43615
55315
69015
712615
817515
921015
1023615
1123815
Stop Event
saturated
Counts
1 → 2
Calls
Call 1
Inputs
(-.f64 (log.f64 (+.f64 N 1)) (log.f64 N))
Outputs
(-.f64 (log.f64 (+.f64 N 1)) (log.f64 N))
(-.f64 (log1p.f64 N) (log.f64 N))

eval0.0ms (0%)

Compiler

Compiled 13 to 8 computations (38.5% saved)

prune1.0ms (0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New112
Fresh101
Picked000
Done000
Total213
Accurracy
49.4%
Counts
3 → 1
Alt Table
Click to see full alt table
StatusAccuracyProgram
49.4%
(-.f64 (log1p.f64 N) (log.f64 N))
49.4%
(-.f64 (log1p.f64 N) (log.f64 N))
Compiler

Compiled 12 to 8 computations (33.3% saved)

localize57.0ms (0.6%)

Local Accuracy

Found 1 expressions with local accuracy:

NewAccuracyProgram
49.4%
(-.f64 (log1p.f64 N) (log.f64 N))
Compiler

Compiled 12 to 5 computations (58.3% saved)

series1.0ms (0%)

Counts
1 → 12
Calls

3 calls:

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

rewrite60.0ms (0.6%)

Algorithm
batch-egg-rewrite
Rules
1512×pow1
1396×add-exp-log
1396×log1p-expm1-u
1396×expm1-log1p-u
1364×add-log-exp
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0715
114415
2188715
Stop Event
node limit
Counts
1 → 35
Calls
Call 1
Inputs
(-.f64 (log1p.f64 N) (log.f64 N))
Outputs
(+.f64 (log1p.f64 N) (neg.f64 (log.f64 N)))
(+.f64 (log1p.f64 N) (*.f64 (neg.f64 (log.f64 N)) 1))
(+.f64 (-.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)) (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 (-.f64 (log1p.f64 N) (log.f64 N)) 1)
(*.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 (log.f64 N) (+.f64 (log1p.f64 N) (log.f64 N))))))
(*.f64 (-.f64 (pow.f64 (log1p.f64 N) 2) (pow.f64 (log.f64 N) 2)) (/.f64 1 (+.f64 (log1p.f64 N) (log.f64 N))))
(*.f64 (+.f64 (sqrt.f64 (log1p.f64 N)) (sqrt.f64 (log.f64 N))) (-.f64 (sqrt.f64 (log1p.f64 N)) (sqrt.f64 (log.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 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 (log.f64 N) (+.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 (log.f64 N) (+.f64 (log1p.f64 N) (log.f64 N))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (log1p.f64 N) 2) (pow.f64 (log.f64 N) 2))) (neg.f64 (+.f64 (log1p.f64 N) (log.f64 N))))
(/.f64 (+.f64 (pow.f64 (log1p.f64 N) 3) (pow.f64 (neg.f64 (log.f64 N)) 3)) (+.f64 (pow.f64 (log1p.f64 N) 2) (-.f64 (*.f64 (neg.f64 (log.f64 N)) (neg.f64 (log.f64 N))) (*.f64 (log1p.f64 N) (neg.f64 (log.f64 N))))))
(/.f64 (-.f64 (pow.f64 (log1p.f64 N) 2) (*.f64 (neg.f64 (log.f64 N)) (neg.f64 (log.f64 N)))) (-.f64 (log1p.f64 N) (neg.f64 (log.f64 N))))
(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)
(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))))
(log1p.f64 (expm1.f64 (-.f64 (log1p.f64 N) (log.f64 N))))
(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)))

simplify65.0ms (0.7%)

Algorithm
egg-herbie
Rules
1682×div-sub
1522×fma-neg
1100×fma-def
810×associate-*r*
718×associate-*l*
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
01261407
13361319
211011313
354461309
Stop Event
node limit
Counts
47 → 71
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 1/3 (pow.f64 N 3)) (*.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 (/.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 (*.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 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 (*.f64 1/4 (/.f64 1 (pow.f64 N 4))) (*.f64 1/2 (/.f64 1 (pow.f64 N 2)))))
(+.f64 (log1p.f64 N) (neg.f64 (log.f64 N)))
(+.f64 (log1p.f64 N) (*.f64 (neg.f64 (log.f64 N)) 1))
(+.f64 (-.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)) (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 (-.f64 (log1p.f64 N) (log.f64 N)) 1)
(*.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 (log.f64 N) (+.f64 (log1p.f64 N) (log.f64 N))))))
(*.f64 (-.f64 (pow.f64 (log1p.f64 N) 2) (pow.f64 (log.f64 N) 2)) (/.f64 1 (+.f64 (log1p.f64 N) (log.f64 N))))
(*.f64 (+.f64 (sqrt.f64 (log1p.f64 N)) (sqrt.f64 (log.f64 N))) (-.f64 (sqrt.f64 (log1p.f64 N)) (sqrt.f64 (log.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 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 (log.f64 N) (+.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 (log.f64 N) (+.f64 (log1p.f64 N) (log.f64 N))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (log1p.f64 N) 2) (pow.f64 (log.f64 N) 2))) (neg.f64 (+.f64 (log1p.f64 N) (log.f64 N))))
(/.f64 (+.f64 (pow.f64 (log1p.f64 N) 3) (pow.f64 (neg.f64 (log.f64 N)) 3)) (+.f64 (pow.f64 (log1p.f64 N) 2) (-.f64 (*.f64 (neg.f64 (log.f64 N)) (neg.f64 (log.f64 N))) (*.f64 (log1p.f64 N) (neg.f64 (log.f64 N))))))
(/.f64 (-.f64 (pow.f64 (log1p.f64 N) 2) (*.f64 (neg.f64 (log.f64 N)) (neg.f64 (log.f64 N)))) (-.f64 (log1p.f64 N) (neg.f64 (log.f64 N))))
(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)
(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))))
(log1p.f64 (expm1.f64 (-.f64 (log1p.f64 N) (log.f64 N))))
(fma.f64 1 (log1p.f64 N) (neg.f64 (log.f64 N)))
(fma.f64 (pow.f64 (cbrt.f64 (log1p.f64 N)) 2) (cbrt.f64 (log1p.f64 N)) (neg.f64 (log.f64 N)))
(fma.f64 (sqrt.f64 (log1p.f64 N)) (sqrt.f64 (log1p.f64 N)) (neg.f64 (log.f64 N)))
Outputs
(*.f64 -1 (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 (*.f64 N N))))
(+.f64 N (-.f64 (*.f64 N (*.f64 N -1/2)) (log.f64 N)))
(-.f64 (fma.f64 N (*.f64 N -1/2) N) (log.f64 N))
(+.f64 N (+.f64 (*.f64 -1 (log.f64 N)) (+.f64 (*.f64 1/3 (pow.f64 N 3)) (*.f64 -1/2 (pow.f64 N 2)))))
(+.f64 N (fma.f64 -1 (log.f64 N) (fma.f64 1/3 (pow.f64 N 3) (*.f64 -1/2 (*.f64 N N)))))
(+.f64 N (-.f64 (fma.f64 -1/2 (*.f64 N N) (*.f64 1/3 (pow.f64 N 3))) (log.f64 N)))
(+.f64 N (-.f64 (*.f64 (*.f64 N N) (+.f64 -1/2 (*.f64 N 1/3))) (log.f64 N)))
(fma.f64 (*.f64 N N) (+.f64 -1/2 (*.f64 N 1/3)) (-.f64 N (log.f64 N)))
(/.f64 1 N)
(-.f64 (/.f64 1 N) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (/.f64 1 N) (/.f64 1/2 (*.f64 N N)))
(+.f64 (/.f64 1 N) (/.f64 -1/2 (*.f64 N N)))
(-.f64 (/.f64 1 N) (/.f64 (/.f64 1/2 N) N))
(+.f64 (/.f64 1 N) (/.f64 (/.f64 -1/2 N) N))
(-.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 (*.f64 N N))))
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (+.f64 (/.f64 1 N) (/.f64 -1/2 (*.f64 N N))))
(+.f64 (/.f64 1 N) (+.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 -1/2 (*.f64 N N))))
(+.f64 (+.f64 (/.f64 1 N) (/.f64 (/.f64 -1/2 N) N)) (/.f64 1/3 (pow.f64 N 3)))
(-.f64 (+.f64 (/.f64 1 N) (*.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 N) (-.f64 (/.f64 1/3 (pow.f64 N 3)) (+.f64 (/.f64 1/2 (*.f64 N N)) (/.f64 1/4 (pow.f64 N 4)))))
(-.f64 (+.f64 (/.f64 1 N) (/.f64 1/3 (pow.f64 N 3))) (+.f64 (/.f64 1/2 (*.f64 N N)) (/.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 (/.f64 1/2 N) N))))
(+.f64 (/.f64 1 N) (+.f64 (/.f64 1/3 (pow.f64 N 3)) (+.f64 (/.f64 (/.f64 -1/2 N) N) (/.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 (*.f64 N N)))
(+.f64 (/.f64 1 N) (/.f64 -1/2 (*.f64 N N)))
(-.f64 (/.f64 1 N) (/.f64 (/.f64 1/2 N) N))
(+.f64 (/.f64 1 N) (/.f64 (/.f64 -1/2 N) N))
(-.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 (*.f64 N N))))
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (+.f64 (/.f64 1 N) (/.f64 -1/2 (*.f64 N N))))
(+.f64 (/.f64 1 N) (+.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 -1/2 (*.f64 N N))))
(+.f64 (+.f64 (/.f64 1 N) (/.f64 (/.f64 -1/2 N) N)) (/.f64 1/3 (pow.f64 N 3)))
(-.f64 (+.f64 (/.f64 1 N) (*.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 N) (-.f64 (/.f64 1/3 (pow.f64 N 3)) (+.f64 (/.f64 1/2 (*.f64 N N)) (/.f64 1/4 (pow.f64 N 4)))))
(-.f64 (+.f64 (/.f64 1 N) (/.f64 1/3 (pow.f64 N 3))) (+.f64 (/.f64 1/2 (*.f64 N N)) (/.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 (/.f64 1/2 N) N))))
(+.f64 (/.f64 1 N) (+.f64 (/.f64 1/3 (pow.f64 N 3)) (+.f64 (/.f64 (/.f64 -1/2 N) N) (/.f64 -1/4 (pow.f64 N 4)))))
(+.f64 (log1p.f64 N) (neg.f64 (log.f64 N)))
(-.f64 (log1p.f64 N) (log.f64 N))
(+.f64 (log1p.f64 N) (*.f64 (neg.f64 (log.f64 N)) 1))
(-.f64 (log1p.f64 N) (log.f64 N))
(+.f64 (-.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)) (fma.f64 (neg.f64 (sqrt.f64 (log.f64 N))) (sqrt.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 (-.f64 (log1p.f64 N) (log.f64 N)) 1)
(-.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 (+.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 1 (+.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) 3) (pow.f64 (log.f64 N) 3)) (fma.f64 (log1p.f64 N) (+.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 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 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 1 (+.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) 3) (pow.f64 (log.f64 N) 3)) (fma.f64 (log1p.f64 N) (+.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 1 (+.f64 (log.f64 N) (log1p.f64 N))))
(/.f64 (-.f64 (pow.f64 (log1p.f64 N) 2) (pow.f64 (log.f64 N) 2)) (+.f64 (log.f64 N) (log1p.f64 N)))
(/.f64 (-.f64 (pow.f64 (log1p.f64 N) 3) (pow.f64 (log.f64 N) 3)) (+.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 1 (+.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) 3) (pow.f64 (log.f64 N) 3)) (fma.f64 (log1p.f64 N) (+.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 1 (+.f64 (log.f64 N) (log1p.f64 N))))
(/.f64 (-.f64 (pow.f64 (log1p.f64 N) 2) (pow.f64 (log.f64 N) 2)) (+.f64 (log.f64 N) (log1p.f64 N)))
(/.f64 (neg.f64 (-.f64 (pow.f64 (log1p.f64 N) 3) (pow.f64 (log.f64 N) 3))) (neg.f64 (+.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 1 (+.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) 3) (pow.f64 (log.f64 N) 3)) (fma.f64 (log1p.f64 N) (+.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))) (neg.f64 (+.f64 (log1p.f64 N) (log.f64 N))))
(*.f64 (-.f64 (pow.f64 (log1p.f64 N) 2) (pow.f64 (log.f64 N) 2)) (/.f64 1 (+.f64 (log.f64 N) (log1p.f64 N))))
(/.f64 (-.f64 (pow.f64 (log1p.f64 N) 2) (pow.f64 (log.f64 N) 2)) (+.f64 (log.f64 N) (log1p.f64 N)))
(/.f64 (+.f64 (pow.f64 (log1p.f64 N) 3) (pow.f64 (neg.f64 (log.f64 N)) 3)) (+.f64 (pow.f64 (log1p.f64 N) 2) (-.f64 (*.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 1 (+.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) 3) (pow.f64 (log.f64 N) 3)) (fma.f64 (log1p.f64 N) (+.f64 (log.f64 N) (log1p.f64 N)) (pow.f64 (log.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 1 (+.f64 (log.f64 N) (log1p.f64 N))))
(/.f64 (-.f64 (pow.f64 (log1p.f64 N) 2) (pow.f64 (log.f64 N) 2)) (+.f64 (log.f64 N) (log1p.f64 N)))
(pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 1)
(-.f64 (log1p.f64 N) (log.f64 N))
(pow.f64 (cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))) 3)
(-.f64 (log1p.f64 N) (log.f64 N))
(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))
(sqrt.f64 (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 2))
(-.f64 (log1p.f64 N) (log.f64 N))
(log.f64 (/.f64 (+.f64 N 1) N))
(-.f64 (log1p.f64 N) (log.f64 N))
(cbrt.f64 (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 3))
(-.f64 (log1p.f64 N) (log.f64 N))
(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))
(log1p.f64 (expm1.f64 (-.f64 (log1p.f64 N) (log.f64 N))))
(-.f64 (log1p.f64 N) (log.f64 N))
(fma.f64 1 (log1p.f64 N) (neg.f64 (log.f64 N)))
(-.f64 (log1p.f64 N) (log.f64 N))
(fma.f64 (pow.f64 (cbrt.f64 (log1p.f64 N)) 2) (cbrt.f64 (log1p.f64 N)) (neg.f64 (log.f64 N)))
(-.f64 (log1p.f64 N) (log.f64 N))
(fma.f64 (sqrt.f64 (log1p.f64 N)) (sqrt.f64 (log1p.f64 N)) (neg.f64 (log.f64 N)))
(-.f64 (log1p.f64 N) (log.f64 N))

eval15.0ms (0.2%)

Compiler

Compiled 943 to 456 computations (51.6% saved)

prune25.0ms (0.3%)

Pruning

8 alts after pruning (8 fresh and 0 done)

PrunedKeptTotal
New63871
Fresh000
Picked101
Done000
Total64872
Accurracy
99.9%
Counts
72 → 8
Alt Table
Click to see full alt table
StatusAccuracyProgram
49.4%
(/.f64 (-.f64 (pow.f64 (log1p.f64 N) 2) (pow.f64 (log.f64 N) 2)) (+.f64 (log1p.f64 N) (log.f64 N)))
56.7%
(/.f64 1 N)
55.9%
(-.f64 (/.f64 1 N) (/.f64 (/.f64 1/2 N) N))
56.3%
(-.f64 (+.f64 (/.f64 1 N) (/.f64 1/3 (pow.f64 N 3))) (+.f64 (/.f64 1/2 (*.f64 N N)) (/.f64 1/4 (pow.f64 N 4))))
45.5%
(-.f64 N (log.f64 N))
57.0%
(+.f64 (/.f64 1 N) (-.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 1/2 (*.f64 N N))))
44.1%
(neg.f64 (log.f64 N))
49.6%
(log.f64 (/.f64 (+.f64 N 1) N))
49.4%
(/.f64 (-.f64 (pow.f64 (log1p.f64 N) 2) (pow.f64 (log.f64 N) 2)) (+.f64 (log1p.f64 N) (log.f64 N)))
56.7%
(/.f64 1 N)
55.9%
(-.f64 (/.f64 1 N) (/.f64 (/.f64 1/2 N) N))
56.3%
(-.f64 (+.f64 (/.f64 1 N) (/.f64 1/3 (pow.f64 N 3))) (+.f64 (/.f64 1/2 (*.f64 N N)) (/.f64 1/4 (pow.f64 N 4))))
45.5%
(-.f64 N (log.f64 N))
57.0%
(+.f64 (/.f64 1 N) (-.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 1/2 (*.f64 N N))))
44.1%
(neg.f64 (log.f64 N))
49.6%
(log.f64 (/.f64 (+.f64 N 1) N))
Compiler

Compiled 336 to 240 computations (28.6% saved)

localize242.0ms (2.6%)

Local Accuracy

Found 10 expressions with local accuracy:

NewAccuracyProgram
99.5%
(pow.f64 (log1p.f64 N) 2)
99.5%
(/.f64 (-.f64 (pow.f64 (log1p.f64 N) 2) (pow.f64 (log.f64 N) 2)) (+.f64 (log1p.f64 N) (log.f64 N)))
99.2%
(pow.f64 (log.f64 N) 2)
49.4%
(-.f64 (pow.f64 (log1p.f64 N) 2) (pow.f64 (log.f64 N) 2))
100.0%
(/.f64 (+.f64 N 1) N)
49.6%
(log.f64 (/.f64 (+.f64 N 1) N))
100.0%
(+.f64 (/.f64 1 N) (-.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 1/2 (*.f64 N N))))
99.6%
(/.f64 1/3 (pow.f64 N 3))
99.2%
(/.f64 1/2 (*.f64 N N))
81.9%
(-.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 1/2 (*.f64 N N)))
Compiler

Compiled 122 to 67 computations (45.1% saved)

series79.0ms (0.8%)

Counts
10 → 104
Calls

30 calls:

TimeVariablePointExpression
38.0ms
N
@-inf
(pow.f64 (log.f64 N) 2)
23.0ms
N
@0
(pow.f64 (log.f64 N) 2)
5.0ms
N
@inf
(pow.f64 (log.f64 N) 2)
3.0ms
N
@-inf
(/.f64 (-.f64 (pow.f64 (log1p.f64 N) 2) (pow.f64 (log.f64 N) 2)) (+.f64 (log1p.f64 N) (log.f64 N)))
1.0ms
N
@inf
(/.f64 (-.f64 (pow.f64 (log1p.f64 N) 2) (pow.f64 (log.f64 N) 2)) (+.f64 (log1p.f64 N) (log.f64 N)))

rewrite232.0ms (2.5%)

Algorithm
batch-egg-rewrite
Rules
602×add-sqr-sqrt
582×pow1
576×*-un-lft-identity
572×add-exp-log
568×add-log-exp
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
026192
1609184
Stop Event
node limit
Counts
10 → 364
Calls
Call 1
Inputs
(-.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 1/2 (*.f64 N N)))
(/.f64 1/2 (*.f64 N N))
(/.f64 1/3 (pow.f64 N 3))
(+.f64 (/.f64 1 N) (-.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 1/2 (*.f64 N N))))
(log.f64 (/.f64 (+.f64 N 1) N))
(/.f64 (+.f64 N 1) N)
(-.f64 (pow.f64 (log1p.f64 N) 2) (pow.f64 (log.f64 N) 2))
(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)))
(pow.f64 (log1p.f64 N) 2)
Outputs
(+.f64 (*.f64 1/3 (pow.f64 N -3)) (*.f64 -1/2 (pow.f64 N -2)))
(+.f64 (fma.f64 1/3 (pow.f64 N -3) (*.f64 -1/2 (pow.f64 N -2))) (fma.f64 (neg.f64 (/.f64 (sqrt.f64 1/2) N)) (/.f64 (sqrt.f64 1/2) N) (*.f64 1/2 (pow.f64 N -2))))
(+.f64 (fma.f64 1/3 (pow.f64 N -3) (neg.f64 (*.f64 (pow.f64 N -2) 1/2))) (fma.f64 (neg.f64 (pow.f64 N -2)) 1/2 (*.f64 (pow.f64 N -2) 1/2)))
(+.f64 (fma.f64 1/3 (pow.f64 N -3) (neg.f64 (*.f64 (*.f64 1/2 (pow.f64 N -2)) 1))) (fma.f64 (*.f64 -1/2 (pow.f64 N -2)) 1 (*.f64 (*.f64 1/2 (pow.f64 N -2)) 1)))
(+.f64 (fma.f64 1/3 (pow.f64 N -3) (neg.f64 (*.f64 (cbrt.f64 (*.f64 1/2 (pow.f64 N -2))) (cbrt.f64 (/.f64 1/4 (pow.f64 N 4)))))) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 1/2 (pow.f64 N -2)))) (cbrt.f64 (/.f64 1/4 (pow.f64 N 4))) (*.f64 (cbrt.f64 (*.f64 1/2 (pow.f64 N -2))) (cbrt.f64 (/.f64 1/4 (pow.f64 N 4))))))
(+.f64 (fma.f64 1 (*.f64 1/3 (pow.f64 N -3)) (neg.f64 (*.f64 (pow.f64 N -2) 1/2))) (fma.f64 (neg.f64 (pow.f64 N -2)) 1/2 (*.f64 (pow.f64 N -2) 1/2)))
(+.f64 (fma.f64 1 (*.f64 1/3 (pow.f64 N -3)) (neg.f64 (*.f64 (*.f64 1/2 (pow.f64 N -2)) 1))) (fma.f64 (*.f64 -1/2 (pow.f64 N -2)) 1 (*.f64 (*.f64 1/2 (pow.f64 N -2)) 1)))
(+.f64 (fma.f64 1 (*.f64 1/3 (pow.f64 N -3)) (neg.f64 (*.f64 (cbrt.f64 (*.f64 1/2 (pow.f64 N -2))) (cbrt.f64 (/.f64 1/4 (pow.f64 N 4)))))) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 1/2 (pow.f64 N -2)))) (cbrt.f64 (/.f64 1/4 (pow.f64 N 4))) (*.f64 (cbrt.f64 (*.f64 1/2 (pow.f64 N -2))) (cbrt.f64 (/.f64 1/4 (pow.f64 N 4))))))
(+.f64 (fma.f64 (pow.f64 (/.f64 (cbrt.f64 1/3) N) 2) (/.f64 (cbrt.f64 1/3) N) (neg.f64 (*.f64 (pow.f64 N -2) 1/2))) (fma.f64 (neg.f64 (pow.f64 N -2)) 1/2 (*.f64 (pow.f64 N -2) 1/2)))
(+.f64 (fma.f64 (pow.f64 (/.f64 (cbrt.f64 1/3) N) 2) (/.f64 (cbrt.f64 1/3) N) (neg.f64 (*.f64 (*.f64 1/2 (pow.f64 N -2)) 1))) (fma.f64 (*.f64 -1/2 (pow.f64 N -2)) 1 (*.f64 (*.f64 1/2 (pow.f64 N -2)) 1)))
(+.f64 (fma.f64 (pow.f64 (/.f64 (cbrt.f64 1/3) N) 2) (/.f64 (cbrt.f64 1/3) N) (neg.f64 (*.f64 (cbrt.f64 (*.f64 1/2 (pow.f64 N -2))) (cbrt.f64 (/.f64 1/4 (pow.f64 N 4)))))) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 1/2 (pow.f64 N -2)))) (cbrt.f64 (/.f64 1/4 (pow.f64 N 4))) (*.f64 (cbrt.f64 (*.f64 1/2 (pow.f64 N -2))) (cbrt.f64 (/.f64 1/4 (pow.f64 N 4))))))
(+.f64 (fma.f64 (/.f64 (sqrt.f64 1/3) (pow.f64 N 3/2)) (/.f64 (sqrt.f64 1/3) (pow.f64 N 3/2)) (neg.f64 (*.f64 (pow.f64 N -2) 1/2))) (fma.f64 (neg.f64 (pow.f64 N -2)) 1/2 (*.f64 (pow.f64 N -2) 1/2)))
(+.f64 (fma.f64 (/.f64 (sqrt.f64 1/3) (pow.f64 N 3/2)) (/.f64 (sqrt.f64 1/3) (pow.f64 N 3/2)) (neg.f64 (*.f64 (*.f64 1/2 (pow.f64 N -2)) 1))) (fma.f64 (*.f64 -1/2 (pow.f64 N -2)) 1 (*.f64 (*.f64 1/2 (pow.f64 N -2)) 1)))
(+.f64 (fma.f64 (/.f64 (sqrt.f64 1/3) (pow.f64 N 3/2)) (/.f64 (sqrt.f64 1/3) (pow.f64 N 3/2)) (neg.f64 (*.f64 (cbrt.f64 (*.f64 1/2 (pow.f64 N -2))) (cbrt.f64 (/.f64 1/4 (pow.f64 N 4)))))) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 1/2 (pow.f64 N -2)))) (cbrt.f64 (/.f64 1/4 (pow.f64 N 4))) (*.f64 (cbrt.f64 (*.f64 1/2 (pow.f64 N -2))) (cbrt.f64 (/.f64 1/4 (pow.f64 N 4))))))
(+.f64 (*.f64 (*.f64 1/3 (pow.f64 N -3)) 1) (*.f64 (*.f64 -1/2 (pow.f64 N -2)) 1))
(*.f64 1 (fma.f64 1/3 (pow.f64 N -3) (*.f64 -1/2 (pow.f64 N -2))))
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(+.f64 (fma.f64 (log1p.f64 N) (log1p.f64 N) (neg.f64 (*.f64 (pow.f64 (log.f64 N) 2) 1))) (fma.f64 (neg.f64 (pow.f64 (log.f64 N) 2)) 1 (*.f64 (pow.f64 (log.f64 N) 2) 1)))
(+.f64 (fma.f64 (log1p.f64 N) (log1p.f64 N) (neg.f64 (*.f64 (pow.f64 (cbrt.f64 (log.f64 N)) 2) (cbrt.f64 (pow.f64 (log.f64 N) 4))))) (fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (log.f64 N)) 2)) (cbrt.f64 (pow.f64 (log.f64 N) 4)) (*.f64 (pow.f64 (cbrt.f64 (log.f64 N)) 2) (cbrt.f64 (pow.f64 (log.f64 N) 4)))))
(+.f64 (fma.f64 (cbrt.f64 (pow.f64 (log1p.f64 N) 4)) (pow.f64 (cbrt.f64 (log1p.f64 N)) 2) (neg.f64 (*.f64 (pow.f64 (log.f64 N) 2) 1))) (fma.f64 (neg.f64 (pow.f64 (log.f64 N) 2)) 1 (*.f64 (pow.f64 (log.f64 N) 2) 1)))
(+.f64 (fma.f64 (cbrt.f64 (pow.f64 (log1p.f64 N) 4)) (pow.f64 (cbrt.f64 (log1p.f64 N)) 2) (neg.f64 (*.f64 (pow.f64 (cbrt.f64 (log.f64 N)) 2) (cbrt.f64 (pow.f64 (log.f64 N) 4))))) (fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (log.f64 N)) 2)) (cbrt.f64 (pow.f64 (log.f64 N) 4)) (*.f64 (pow.f64 (cbrt.f64 (log.f64 N)) 2) (cbrt.f64 (pow.f64 (log.f64 N) 4)))))
(+.f64 (*.f64 (pow.f64 (log1p.f64 N) 2) 1) (*.f64 (neg.f64 (pow.f64 (log.f64 N) 2)) 1))
(*.f64 1 (-.f64 (pow.f64 (log1p.f64 N) 2) (pow.f64 (log.f64 N) 2)))
(*.f64 (+.f64 (log1p.f64 N) (log.f64 N)) (-.f64 (log1p.f64 N) (log.f64 N)))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 (pow.f64 (log1p.f64 N) 2) (pow.f64 (log.f64 N) 2))) 2) (cbrt.f64 (-.f64 (pow.f64 (log1p.f64 N) 2) (pow.f64 (log.f64 N) 2))))
(*.f64 (sqrt.f64 (-.f64 (pow.f64 (log1p.f64 N) 2) (pow.f64 (log.f64 N) 2))) (sqrt.f64 (-.f64 (pow.f64 (log1p.f64 N) 2) (pow.f64 (log.f64 N) 2))))
(*.f64 (-.f64 (pow.f64 (log1p.f64 N) 6) (pow.f64 (log.f64 N) 6)) (/.f64 1 (+.f64 (pow.f64 (log1p.f64 N) 4) (+.f64 (pow.f64 (log.f64 N) 4) (pow.f64 (*.f64 (log1p.f64 N) (log.f64 N)) 2)))))
(*.f64 (-.f64 (pow.f64 (log1p.f64 N) 4) (pow.f64 (log.f64 N) 4)) (/.f64 1 (+.f64 (pow.f64 (log1p.f64 N) 2) (pow.f64 (log.f64 N) 2))))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (log1p.f64 N) 4) (+.f64 (pow.f64 (log.f64 N) 4) (pow.f64 (*.f64 (log1p.f64 N) (log.f64 N)) 2))) (-.f64 (pow.f64 (log1p.f64 N) 6) (pow.f64 (log.f64 N) 6))))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (log1p.f64 N) 2) (pow.f64 (log.f64 N) 2)) (-.f64 (pow.f64 (log1p.f64 N) 4) (pow.f64 (log.f64 N) 4))))
(/.f64 (-.f64 (pow.f64 (log1p.f64 N) 6) (pow.f64 (log.f64 N) 6)) (+.f64 (pow.f64 (log1p.f64 N) 4) (+.f64 (pow.f64 (log.f64 N) 4) (pow.f64 (*.f64 (log1p.f64 N) (log.f64 N)) 2))))
(/.f64 (-.f64 (pow.f64 (log1p.f64 N) 4) (pow.f64 (log.f64 N) 4)) (+.f64 (pow.f64 (log1p.f64 N) 2) (pow.f64 (log.f64 N) 2)))
(/.f64 (neg.f64 (-.f64 (pow.f64 (log1p.f64 N) 6) (pow.f64 (log.f64 N) 6))) (neg.f64 (+.f64 (pow.f64 (log1p.f64 N) 4) (+.f64 (pow.f64 (log.f64 N) 4) (pow.f64 (*.f64 (log1p.f64 N) (log.f64 N)) 2)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (log1p.f64 N) 4) (pow.f64 (log.f64 N) 4))) (neg.f64 (+.f64 (pow.f64 (log1p.f64 N) 2) (pow.f64 (log.f64 N) 2))))
(/.f64 (+.f64 (pow.f64 (log1p.f64 N) 6) (pow.f64 (neg.f64 (pow.f64 (log.f64 N) 2)) 3)) (+.f64 (pow.f64 (log1p.f64 N) 4) (-.f64 (*.f64 (neg.f64 (pow.f64 (log.f64 N) 2)) (neg.f64 (pow.f64 (log.f64 N) 2))) (*.f64 (pow.f64 (log1p.f64 N) 2) (neg.f64 (pow.f64 (log.f64 N) 2))))))
(/.f64 (-.f64 (pow.f64 (log1p.f64 N) 4) (*.f64 (neg.f64 (pow.f64 (log.f64 N) 2)) (neg.f64 (pow.f64 (log.f64 N) 2)))) (-.f64 (pow.f64 (log1p.f64 N) 2) (neg.f64 (pow.f64 (log.f64 N) 2))))
(pow.f64 (-.f64 (pow.f64 (log1p.f64 N) 2) (pow.f64 (log.f64 N) 2)) 1)
(pow.f64 (cbrt.f64 (-.f64 (pow.f64 (log1p.f64 N) 2) (pow.f64 (log.f64 N) 2))) 3)
(pow.f64 (pow.f64 (-.f64 (pow.f64 (log1p.f64 N) 2) (pow.f64 (log.f64 N) 2)) 3) 1/3)
(pow.f64 (sqrt.f64 (-.f64 (pow.f64 (log1p.f64 N) 2) (pow.f64 (log.f64 N) 2))) 2)
(sqrt.f64 (pow.f64 (-.f64 (pow.f64 (log1p.f64 N) 2) (pow.f64 (log.f64 N) 2)) 2))
(log.f64 (/.f64 (exp.f64 (pow.f64 (log1p.f64 N) 2)) (pow.f64 N (log.f64 N))))
(log.f64 (+.f64 1 (expm1.f64 (-.f64 (pow.f64 (log1p.f64 N) 2) (pow.f64 (log.f64 N) 2)))))
(cbrt.f64 (pow.f64 (-.f64 (pow.f64 (log1p.f64 N) 2) (pow.f64 (log.f64 N) 2)) 3))
(expm1.f64 (log1p.f64 (-.f64 (pow.f64 (log1p.f64 N) 2) (pow.f64 (log.f64 N) 2))))
(exp.f64 (log.f64 (-.f64 (pow.f64 (log1p.f64 N) 2) (pow.f64 (log.f64 N) 2))))
(exp.f64 (*.f64 (log.f64 (-.f64 (pow.f64 (log1p.f64 N) 2) (pow.f64 (log.f64 N) 2))) 1))
(log1p.f64 (expm1.f64 (-.f64 (pow.f64 (log1p.f64 N) 2) (pow.f64 (log.f64 N) 2))))
(fma.f64 1 (pow.f64 (log1p.f64 N) 2) (neg.f64 (pow.f64 (log.f64 N) 2)))
(fma.f64 (log1p.f64 N) (log1p.f64 N) (neg.f64 (pow.f64 (log.f64 N) 2)))
(fma.f64 (cbrt.f64 (pow.f64 (log1p.f64 N) 4)) (pow.f64 (cbrt.f64 (log1p.f64 N)) 2) (neg.f64 (pow.f64 (log.f64 N) 2)))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (log.f64 N) 2))) 1)
(*.f64 1 (pow.f64 (log.f64 N) 2))
(*.f64 (log.f64 N) (log.f64 N))
(*.f64 (cbrt.f64 (pow.f64 (log.f64 N) 4)) (pow.f64 (cbrt.f64 (log.f64 N)) 2))
(*.f64 (*.f64 (log.f64 N) (sqrt.f64 (log.f64 N))) (sqrt.f64 (log.f64 N)))
(*.f64 (*.f64 (log.f64 N) 1) (log.f64 N))
(*.f64 (*.f64 (log.f64 N) (pow.f64 (cbrt.f64 (log.f64 N)) 2)) (cbrt.f64 (log.f64 N)))
(sqrt.f64 (pow.f64 (log.f64 N) 4))
(log.f64 (pow.f64 N (log.f64 N)))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (log.f64 N) 2))))
(cbrt.f64 (pow.f64 (log.f64 N) 6))
(expm1.f64 (log1p.f64 (pow.f64 (log.f64 N) 2)))
(exp.f64 (*.f64 2 (log.f64 (log.f64 N))))
(exp.f64 (*.f64 (*.f64 2 (log.f64 (log.f64 N))) 1))
(log1p.f64 (expm1.f64 (pow.f64 (log.f64 N) 2)))
(+.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 (log1p.f64 N) (*.f64 (neg.f64 (pow.f64 (cbrt.f64 (log.f64 N)) 2)) (cbrt.f64 (log.f64 N))))
(+.f64 (log1p.f64 N) (*.f64 (neg.f64 (sqrt.f64 (log.f64 N))) (sqrt.f64 (log.f64 N))))
(+.f64 0 (-.f64 (log1p.f64 N) (log.f64 N)))
(+.f64 (/.f64 (pow.f64 (log1p.f64 N) 2) (+.f64 (log1p.f64 N) (log.f64 N))) (neg.f64 (/.f64 (pow.f64 (log.f64 N) 2) (+.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 (fma.f64 1 (log1p.f64 N) (neg.f64 (*.f64 (log.f64 N) 1))) (fma.f64 (neg.f64 (log.f64 N)) 1 (*.f64 (log.f64 N) 1)))
(+.f64 (fma.f64 1 (log1p.f64 N) (neg.f64 (*.f64 (cbrt.f64 (log.f64 N)) (pow.f64 (cbrt.f64 (log.f64 N)) 2)))) (fma.f64 (neg.f64 (cbrt.f64 (log.f64 N))) (pow.f64 (cbrt.f64 (log.f64 N)) 2) (*.f64 (cbrt.f64 (log.f64 N)) (pow.f64 (cbrt.f64 (log.f64 N)) 2))))
(+.f64 (fma.f64 (pow.f64 (cbrt.f64 (log1p.f64 N)) 2) (cbrt.f64 (log1p.f64 N)) (neg.f64 (*.f64 (log.f64 N) 1))) (fma.f64 (neg.f64 (log.f64 N)) 1 (*.f64 (log.f64 N) 1)))
(+.f64 (fma.f64 (pow.f64 (cbrt.f64 (log1p.f64 N)) 2) (cbrt.f64 (log1p.f64 N)) (neg.f64 (*.f64 (cbrt.f64 (log.f64 N)) (pow.f64 (cbrt.f64 (log.f64 N)) 2)))) (fma.f64 (neg.f64 (cbrt.f64 (log.f64 N))) (pow.f64 (cbrt.f64 (log.f64 N)) 2) (*.f64 (cbrt.f64 (log.f64 N)) (pow.f64 (cbrt.f64 (log.f64 N)) 2))))
(+.f64 (fma.f64 (sqrt.f64 (log1p.f64 N)) (sqrt.f64 (log1p.f64 N)) (neg.f64 (*.f64 (log.f64 N) 1))) (fma.f64 (neg.f64 (log.f64 N)) 1 (*.f64 (log.f64 N) 1)))
(+.f64 (fma.f64 (sqrt.f64 (log1p.f64 N)) (sqrt.f64 (log1p.f64 N)) (neg.f64 (*.f64 (cbrt.f64 (log.f64 N)) (pow.f64 (cbrt.f64 (log.f64 N)) 2)))) (fma.f64 (neg.f64 (cbrt.f64 (log.f64 N))) (pow.f64 (cbrt.f64 (log.f64 N)) 2) (*.f64 (cbrt.f64 (log.f64 N)) (pow.f64 (cbrt.f64 (log.f64 N)) 2))))
(-.f64 (log1p.f64 N) (log.f64 N))
(-.f64 0 (log.f64 (/.f64 N (+.f64 N 1))))
(-.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 (log.f64 (+.f64 -1 (neg.f64 N))) (log.f64 (neg.f64 N)))
(-.f64 (exp.f64 (log1p.f64 (-.f64 (log1p.f64 N) (log.f64 N)))) 1)
(*.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 (log1p.f64 N) (log.f64 N))))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))) 2) (cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))))
(*.f64 (sqrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))) (sqrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))))
(*.f64 (neg.f64 (-.f64 (pow.f64 (log1p.f64 N) 2) (pow.f64 (log.f64 N) 2))) (/.f64 1 (neg.f64 (+.f64 (log1p.f64 N) (log.f64 N)))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 (log1p.f64 N) (log.f64 N))) 2)) (/.f64 (-.f64 (pow.f64 (log1p.f64 N) 2) (pow.f64 (log.f64 N) 2)) (cbrt.f64 (+.f64 (log1p.f64 N) (log.f64 N)))))
(*.f64 (/.f64 1 (sqrt.f64 (+.f64 (log1p.f64 N) (log.f64 N)))) (/.f64 (-.f64 (pow.f64 (log1p.f64 N) 2) (pow.f64 (log.f64 N) 2)) (sqrt.f64 (+.f64 (log1p.f64 N) (log.f64 N)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 (pow.f64 (log1p.f64 N) 2) (pow.f64 (log.f64 N) 2))) 2) 1) (/.f64 (cbrt.f64 (-.f64 (pow.f64 (log1p.f64 N) 2) (pow.f64 (log.f64 N) 2))) (+.f64 (log1p.f64 N) (log.f64 N))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 (pow.f64 (log1p.f64 N) 2) (pow.f64 (log.f64 N) 2))) 2) (pow.f64 (cbrt.f64 (+.f64 (log1p.f64 N) (log.f64 N))) 2)) (cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 (pow.f64 (log1p.f64 N) 2) (pow.f64 (log.f64 N) 2))) 2) (sqrt.f64 (+.f64 (log1p.f64 N) (log.f64 N)))) (/.f64 (cbrt.f64 (-.f64 (pow.f64 (log1p.f64 N) 2) (pow.f64 (log.f64 N) 2))) (sqrt.f64 (+.f64 (log1p.f64 N) (log.f64 N)))))
(*.f64 (/.f64 (sqrt.f64 (-.f64 (pow.f64 (log1p.f64 N) 2) (pow.f64 (log.f64 N) 2))) 1) (/.f64 (sqrt.f64 (-.f64 (pow.f64 (log1p.f64 N) 2) (pow.f64 (log.f64 N) 2))) (+.f64 (log1p.f64 N) (log.f64 N))))
(*.f64 (/.f64 (sqrt.f64 (-.f64 (pow.f64 (log1p.f64 N) 2) (pow.f64 (log.f64 N) 2))) (pow.f64 (cbrt.f64 (+.f64 (log1p.f64 N) (log.f64 N))) 2)) (/.f64 (sqrt.f64 (-.f64 (pow.f64 (log1p.f64 N) 2) (pow.f64 (log.f64 N) 2))) (cbrt.f64 (+.f64 (log1p.f64 N) (log.f64 N)))))
(*.f64 (+.f64 (sqrt.f64 (log1p.f64 N)) (sqrt.f64 (log.f64 N))) (-.f64 (sqrt.f64 (log1p.f64 N)) (sqrt.f64 (log.f64 N))))
(pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 1)
(pow.f64 (cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))) 3)
(pow.f64 (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 3) 1/3)
(pow.f64 (sqrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))) 2)
(pow.f64 (/.f64 1 (-.f64 (log1p.f64 N) (log.f64 N))) -1)
(neg.f64 (log.f64 (/.f64 N (+.f64 N 1))))
(neg.f64 (/.f64 (-.f64 (pow.f64 (log1p.f64 N) 2) (pow.f64 (log.f64 N) 2)) (neg.f64 (+.f64 (log1p.f64 N) (log.f64 N)))))
(sqrt.f64 (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 2))
(log.f64 (/.f64 (+.f64 N 1) N))
(log.f64 (+.f64 1 (-.f64 (/.f64 (+.f64 N 1) N) 1)))
(cbrt.f64 (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 3))
(cbrt.f64 (/.f64 (pow.f64 (-.f64 (pow.f64 (log1p.f64 N) 2) (pow.f64 (log.f64 N) 2)) 3) (pow.f64 (+.f64 (log1p.f64 N) (log.f64 N)) 3)))
(expm1.f64 (log1p.f64 (-.f64 (log1p.f64 N) (log.f64 N))))
(exp.f64 (log.f64 (-.f64 (log1p.f64 N) (log.f64 N))))
(exp.f64 (*.f64 (log.f64 (-.f64 (log1p.f64 N) (log.f64 N))) 1))
(log1p.f64 (-.f64 (/.f64 (+.f64 N 1) N) 1))
(fma.f64 1 (log1p.f64 N) (neg.f64 (log.f64 N)))
(fma.f64 (pow.f64 (cbrt.f64 (log1p.f64 N)) 2) (cbrt.f64 (log1p.f64 N)) (neg.f64 (log.f64 N)))
(fma.f64 (sqrt.f64 (log1p.f64 N)) (sqrt.f64 (log1p.f64 N)) (neg.f64 (log.f64 N)))
(-.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 (*.f64 (log1p.f64 N) (sqrt.f64 (log1p.f64 N))) (sqrt.f64 (log1p.f64 N)))
(*.f64 (*.f64 (log1p.f64 N) 1) (log1p.f64 N))
(*.f64 (*.f64 (log1p.f64 N) (pow.f64 (cbrt.f64 (log1p.f64 N)) 2)) (cbrt.f64 (log1p.f64 N)))
(sqrt.f64 (pow.f64 (log1p.f64 N) 4))
(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 (log1p.f64 N) 6))
(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)))

simplify362.0ms (3.9%)

Algorithm
egg-herbie
Rules
1412×fma-def
844×times-frac
508×associate-+r+
482×associate-+l+
444×distribute-rgt-in
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0102723138
1290021316
Stop Event
node limit
Counts
468 → 583
Calls
Call 1
Inputs
(/.f64 1/3 (pow.f64 N 3))
(-.f64 (*.f64 1/3 (/.f64 1 (pow.f64 N 3))) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (*.f64 1/3 (/.f64 1 (pow.f64 N 3))) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (*.f64 1/3 (/.f64 1 (pow.f64 N 3))) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(/.f64 -1/2 (pow.f64 N 2))
(-.f64 (*.f64 1/3 (/.f64 1 (pow.f64 N 3))) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (*.f64 1/3 (/.f64 1 (pow.f64 N 3))) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (*.f64 1/3 (/.f64 1 (pow.f64 N 3))) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(/.f64 -1/2 (pow.f64 N 2))
(-.f64 (*.f64 1/3 (/.f64 1 (pow.f64 N 3))) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (*.f64 1/3 (/.f64 1 (pow.f64 N 3))) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (*.f64 1/3 (/.f64 1 (pow.f64 N 3))) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(/.f64 1/2 (pow.f64 N 2))
(/.f64 1/2 (pow.f64 N 2))
(/.f64 1/2 (pow.f64 N 2))
(/.f64 1/2 (pow.f64 N 2))
(/.f64 1/2 (pow.f64 N 2))
(/.f64 1/2 (pow.f64 N 2))
(/.f64 1/2 (pow.f64 N 2))
(/.f64 1/2 (pow.f64 N 2))
(/.f64 1/2 (pow.f64 N 2))
(/.f64 1/2 (pow.f64 N 2))
(/.f64 1/2 (pow.f64 N 2))
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(sqrt.f64 (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 2))
(log.f64 (/.f64 (+.f64 N 1) N))
(log.f64 (+.f64 1 (-.f64 (/.f64 (+.f64 N 1) N) 1)))
(cbrt.f64 (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 3))
(cbrt.f64 (/.f64 (pow.f64 (-.f64 (pow.f64 (log1p.f64 N) 2) (pow.f64 (log.f64 N) 2)) 3) (pow.f64 (+.f64 (log1p.f64 N) (log.f64 N)) 3)))
(expm1.f64 (log1p.f64 (-.f64 (log1p.f64 N) (log.f64 N))))
(exp.f64 (log.f64 (-.f64 (log1p.f64 N) (log.f64 N))))
(exp.f64 (*.f64 (log.f64 (-.f64 (log1p.f64 N) (log.f64 N))) 1))
(log1p.f64 (-.f64 (/.f64 (+.f64 N 1) N) 1))
(fma.f64 1 (log1p.f64 N) (neg.f64 (log.f64 N)))
(fma.f64 (pow.f64 (cbrt.f64 (log1p.f64 N)) 2) (cbrt.f64 (log1p.f64 N)) (neg.f64 (log.f64 N)))
(fma.f64 (sqrt.f64 (log1p.f64 N)) (sqrt.f64 (log1p.f64 N)) (neg.f64 (log.f64 N)))
(-.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 (*.f64 (log1p.f64 N) (sqrt.f64 (log1p.f64 N))) (sqrt.f64 (log1p.f64 N)))
(*.f64 (*.f64 (log1p.f64 N) 1) (log1p.f64 N))
(*.f64 (*.f64 (log1p.f64 N) (pow.f64 (cbrt.f64 (log1p.f64 N)) 2)) (cbrt.f64 (log1p.f64 N)))
(sqrt.f64 (pow.f64 (log1p.f64 N) 4))
(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 (log1p.f64 N) 6))
(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)))
Outputs
(/.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 (*.f64 N N)))
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 -1/2 (*.f64 N N)))
(-.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 (*.f64 N N)))
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 -1/2 (*.f64 N N)))
(-.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 (*.f64 N N)))
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 -1/2 (*.f64 N N)))
(/.f64 -1/2 (pow.f64 N 2))
(/.f64 -1/2 (*.f64 N N))
(-.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 (*.f64 N N)))
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 -1/2 (*.f64 N N)))
(-.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 (*.f64 N N)))
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 -1/2 (*.f64 N N)))
(-.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 (*.f64 N N)))
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 -1/2 (*.f64 N N)))
(/.f64 -1/2 (pow.f64 N 2))
(/.f64 -1/2 (*.f64 N N))
(-.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 (*.f64 N N)))
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 -1/2 (*.f64 N N)))
(-.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 (*.f64 N N)))
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 -1/2 (*.f64 N N)))
(-.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 (*.f64 N N)))
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 -1/2 (*.f64 N N)))
(/.f64 1/2 (pow.f64 N 2))
(/.f64 1/2 (*.f64 N N))
(/.f64 1/2 (pow.f64 N 2))
(/.f64 1/2 (*.f64 N N))
(/.f64 1/2 (pow.f64 N 2))
(/.f64 1/2 (*.f64 N N))
(/.f64 1/2 (pow.f64 N 2))
(/.f64 1/2 (*.f64 N N))
(/.f64 1/2 (pow.f64 N 2))
(/.f64 1/2 (*.f64 N N))
(/.f64 1/2 (pow.f64 N 2))
(/.f64 1/2 (*.f64 N N))
(/.f64 1/2 (pow.f64 N 2))
(/.f64 1/2 (*.f64 N N))
(/.f64 1/2 (pow.f64 N 2))
(/.f64 1/2 (*.f64 N N))
(/.f64 1/2 (pow.f64 N 2))
(/.f64 1/2 (*.f64 N N))
(/.f64 1/2 (pow.f64 N 2))
(/.f64 1/2 (*.f64 N N))
(/.f64 1/2 (pow.f64 N 2))
(/.f64 1/2 (*.f64 N N))
(/.f64 1/2 (pow.f64 N 2))
(/.f64 1/2 (*.f64 N N))
(/.f64 1/3 (pow.f64 N 3))
(-.f64 (*.f64 1/3 (/.f64 1 (pow.f64 N 3))) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 1/2 (*.f64 N N)))
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 -1/2 (*.f64 N N)))
(-.f64 (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 N 3))) (/.f64 1 N)) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (+.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 1 N)) (/.f64 1/2 (*.f64 N N)))
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (+.f64 (/.f64 1 N) (/.f64 -1/2 (*.f64 N N))))
(-.f64 (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 N 3))) (/.f64 1 N)) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (+.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 1 N)) (/.f64 1/2 (*.f64 N N)))
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (+.f64 (/.f64 1 N) (/.f64 -1/2 (*.f64 N N))))
(/.f64 1 N)
(-.f64 (/.f64 1 N) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (/.f64 1 N) (/.f64 1/2 (*.f64 N N)))
(+.f64 (/.f64 1 N) (/.f64 -1/2 (*.f64 N N)))
(-.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 1/3 (pow.f64 N 3)) (/.f64 1 N)) (/.f64 1/2 (*.f64 N N)))
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (+.f64 (/.f64 1 N) (/.f64 -1/2 (*.f64 N N))))
(-.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 1/3 (pow.f64 N 3)) (/.f64 1 N)) (/.f64 1/2 (*.f64 N N)))
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (+.f64 (/.f64 1 N) (/.f64 -1/2 (*.f64 N N))))
(/.f64 1 N)
(-.f64 (/.f64 1 N) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (/.f64 1 N) (/.f64 1/2 (*.f64 N N)))
(+.f64 (/.f64 1 N) (/.f64 -1/2 (*.f64 N N)))
(-.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 1/3 (pow.f64 N 3)) (/.f64 1 N)) (/.f64 1/2 (*.f64 N N)))
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (+.f64 (/.f64 1 N) (/.f64 -1/2 (*.f64 N N))))
(-.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 1/3 (pow.f64 N 3)) (/.f64 1 N)) (/.f64 1/2 (*.f64 N N)))
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (+.f64 (/.f64 1 N) (/.f64 -1/2 (*.f64 N N))))
(*.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 (*.f64 N N) -1/2)))
(+.f64 N (fma.f64 (*.f64 N N) -1/2 (neg.f64 (log.f64 N))))
(+.f64 N (+.f64 (*.f64 -1 (log.f64 N)) (+.f64 (*.f64 1/3 (pow.f64 N 3)) (*.f64 -1/2 (pow.f64 N 2)))))
(+.f64 N (fma.f64 -1 (log.f64 N) (fma.f64 1/3 (pow.f64 N 3) (*.f64 (*.f64 N N) -1/2))))
(+.f64 (fma.f64 (*.f64 N N) -1/2 (*.f64 1/3 (pow.f64 N 3))) (-.f64 N (log.f64 N)))
(/.f64 1 N)
(-.f64 (/.f64 1 N) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (/.f64 1 N) (/.f64 1/2 (*.f64 N N)))
(+.f64 (/.f64 1 N) (/.f64 -1/2 (*.f64 N N)))
(-.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 1/3 (pow.f64 N 3)) (/.f64 1 N)) (/.f64 1/2 (*.f64 N N)))
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (+.f64 (/.f64 1 N) (/.f64 -1/2 (*.f64 N N))))
(-.f64 (+.f64 (/.f64 1 N) (*.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 N)) (+.f64 (/.f64 1/2 (*.f64 N N)) (/.f64 1/4 (pow.f64 N 4))))
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (+.f64 (/.f64 1 N) (+.f64 (/.f64 -1/4 (pow.f64 N 4)) (/.f64 -1/2 (*.f64 N N)))))
(/.f64 1 N)
(-.f64 (/.f64 1 N) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (/.f64 1 N) (/.f64 1/2 (*.f64 N N)))
(+.f64 (/.f64 1 N) (/.f64 -1/2 (*.f64 N N)))
(-.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 1/3 (pow.f64 N 3)) (/.f64 1 N)) (/.f64 1/2 (*.f64 N N)))
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (+.f64 (/.f64 1 N) (/.f64 -1/2 (*.f64 N N))))
(-.f64 (+.f64 (/.f64 1 N) (*.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 N)) (+.f64 (/.f64 1/2 (*.f64 N N)) (/.f64 1/4 (pow.f64 N 4))))
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (+.f64 (/.f64 1 N) (+.f64 (/.f64 -1/4 (pow.f64 N 4)) (/.f64 -1/2 (*.f64 N N)))))
(/.f64 1 N)
(+.f64 1 (/.f64 1 N))
(+.f64 1 (/.f64 1 N))
(+.f64 1 (/.f64 1 N))
1
(+.f64 1 (/.f64 1 N))
(+.f64 1 (/.f64 1 N))
(+.f64 1 (/.f64 1 N))
1
(+.f64 1 (/.f64 1 N))
(+.f64 1 (/.f64 1 N))
(+.f64 1 (/.f64 1 N))
(*.f64 -1 (pow.f64 (log.f64 N) 2))
(neg.f64 (pow.f64 (log.f64 N) 2))
(+.f64 (pow.f64 N 2) (*.f64 -1 (pow.f64 (log.f64 N) 2)))
(+.f64 (*.f64 N N) (neg.f64 (pow.f64 (log.f64 N) 2)))
(-.f64 (*.f64 N N) (pow.f64 (log.f64 N) 2))
(+.f64 (pow.f64 N 2) (+.f64 (*.f64 -1 (pow.f64 N 3)) (*.f64 -1 (pow.f64 (log.f64 N) 2))))
(+.f64 (*.f64 N N) (*.f64 -1 (+.f64 (pow.f64 N 3) (pow.f64 (log.f64 N) 2))))
(-.f64 (-.f64 (*.f64 N N) (pow.f64 N 3)) (pow.f64 (log.f64 N) 2))
(+.f64 (pow.f64 N 2) (+.f64 (*.f64 11/12 (pow.f64 N 4)) (+.f64 (*.f64 -1 (pow.f64 N 3)) (*.f64 -1 (pow.f64 (log.f64 N) 2)))))
(+.f64 (*.f64 N N) (fma.f64 11/12 (pow.f64 N 4) (*.f64 -1 (+.f64 (pow.f64 N 3) (pow.f64 (log.f64 N) 2)))))
(fma.f64 N N (-.f64 (fma.f64 (pow.f64 N 4) 11/12 (neg.f64 (pow.f64 N 3))) (pow.f64 (log.f64 N) 2)))
(*.f64 -2 (/.f64 (log.f64 (/.f64 1 N)) N))
(*.f64 -2 (/.f64 (neg.f64 (log.f64 N)) N))
(/.f64 (neg.f64 (log.f64 (pow.f64 N -2))) N)
(+.f64 (/.f64 (log.f64 (/.f64 1 N)) (pow.f64 N 2)) (+.f64 (/.f64 1 (pow.f64 N 2)) (*.f64 -2 (/.f64 (log.f64 (/.f64 1 N)) N))))
(+.f64 (/.f64 (neg.f64 (log.f64 N)) (*.f64 N N)) (+.f64 (/.f64 1 (*.f64 N N)) (*.f64 -2 (/.f64 (neg.f64 (log.f64 N)) N))))
(+.f64 (/.f64 (neg.f64 (log.f64 N)) (*.f64 N N)) (fma.f64 -2 (/.f64 (neg.f64 (log.f64 N)) N) (/.f64 1 (*.f64 N N))))
(-.f64 (+.f64 (*.f64 -2/3 (/.f64 (log.f64 (/.f64 1 N)) (pow.f64 N 3))) (+.f64 (/.f64 (log.f64 (/.f64 1 N)) (pow.f64 N 2)) (+.f64 (/.f64 1 (pow.f64 N 2)) (*.f64 -2 (/.f64 (log.f64 (/.f64 1 N)) N))))) (/.f64 1 (pow.f64 N 3)))
(-.f64 (fma.f64 -2/3 (/.f64 (neg.f64 (log.f64 N)) (pow.f64 N 3)) (+.f64 (/.f64 (neg.f64 (log.f64 N)) (*.f64 N N)) (+.f64 (/.f64 1 (*.f64 N N)) (*.f64 -2 (/.f64 (neg.f64 (log.f64 N)) N))))) (/.f64 1 (pow.f64 N 3)))
(+.f64 (+.f64 (fma.f64 -2/3 (/.f64 (neg.f64 (log.f64 N)) (pow.f64 N 3)) (/.f64 (neg.f64 (log.f64 N)) (*.f64 N N))) (fma.f64 -2 (/.f64 (neg.f64 (log.f64 N)) N) (/.f64 1 (*.f64 N N)))) (/.f64 -1 (pow.f64 N 3)))
(-.f64 (+.f64 (*.f64 1/2 (/.f64 (log.f64 (/.f64 1 N)) (pow.f64 N 4))) (+.f64 (*.f64 11/12 (/.f64 1 (pow.f64 N 4))) (+.f64 (*.f64 -2/3 (/.f64 (log.f64 (/.f64 1 N)) (pow.f64 N 3))) (+.f64 (/.f64 (log.f64 (/.f64 1 N)) (pow.f64 N 2)) (+.f64 (/.f64 1 (pow.f64 N 2)) (*.f64 -2 (/.f64 (log.f64 (/.f64 1 N)) N))))))) (/.f64 1 (pow.f64 N 3)))
(-.f64 (fma.f64 1/2 (/.f64 (neg.f64 (log.f64 N)) (pow.f64 N 4)) (+.f64 (fma.f64 -2/3 (/.f64 (neg.f64 (log.f64 N)) (pow.f64 N 3)) (+.f64 (/.f64 (neg.f64 (log.f64 N)) (*.f64 N N)) (+.f64 (/.f64 1 (*.f64 N N)) (*.f64 -2 (/.f64 (neg.f64 (log.f64 N)) N))))) (/.f64 11/12 (pow.f64 N 4)))) (/.f64 1 (pow.f64 N 3)))
(+.f64 (+.f64 (fma.f64 1/2 (/.f64 (neg.f64 (log.f64 N)) (pow.f64 N 4)) (/.f64 11/12 (pow.f64 N 4))) (+.f64 (fma.f64 -2/3 (/.f64 (neg.f64 (log.f64 N)) (pow.f64 N 3)) (/.f64 (neg.f64 (log.f64 N)) (*.f64 N N))) (fma.f64 -2 (/.f64 (neg.f64 (log.f64 N)) N) (/.f64 1 (*.f64 N N))))) (/.f64 -1 (pow.f64 N 3)))
(*.f64 2 (/.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 N)))) N))
(*.f64 2 (/.f64 (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 N)))) N))
(*.f64 2 (/.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 N))) N))
(+.f64 (*.f64 2 (/.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 N)))) N)) (+.f64 (*.f64 -1 (/.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 N)))) (pow.f64 N 2))) (/.f64 1 (pow.f64 N 2))))
(fma.f64 2 (/.f64 (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 N)))) N) (fma.f64 -1 (/.f64 (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 N)))) (*.f64 N N)) (/.f64 1 (*.f64 N N))))
(fma.f64 2 (/.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 N))) N) (-.f64 (/.f64 1 (*.f64 N N)) (/.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 N))) (*.f64 N N))))
(+.f64 (*.f64 2 (/.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 N)))) N)) (+.f64 (*.f64 -1 (/.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 N)))) (pow.f64 N 2))) (+.f64 (*.f64 -1 (/.f64 (+.f64 1 (*.f64 -2/3 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 N)))))) (pow.f64 N 3))) (/.f64 1 (pow.f64 N 2)))))
(fma.f64 2 (/.f64 (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 N)))) N) (fma.f64 -1 (/.f64 (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 N)))) (*.f64 N N)) (fma.f64 -1 (/.f64 (+.f64 1 (*.f64 -2/3 (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 N)))))) (pow.f64 N 3)) (/.f64 1 (*.f64 N N)))))
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eval417.0ms (4.5%)

Compiler

Compiled 17246 to 11744 computations (31.9% saved)

prune123.0ms (1.3%)

Pruning

12 alts after pruning (8 fresh and 4 done)

PrunedKeptTotal
New5785583
Fresh033
Picked145
Done000
Total57912591
Accurracy
100.0%
Counts
591 → 12
Alt Table
Click to see full alt table
StatusAccuracyProgram
49.0%
(/.f64 (/.f64 (-.f64 (pow.f64 (log1p.f64 N) 4) (*.f64 (neg.f64 (pow.f64 (log.f64 N) 2)) (neg.f64 (pow.f64 (log.f64 N) 2)))) (-.f64 (pow.f64 (log1p.f64 N) 2) (neg.f64 (pow.f64 (log.f64 N) 2)))) (+.f64 (log1p.f64 N) (log.f64 N)))
56.1%
(/.f64 (-.f64 (fma.f64 1/2 (/.f64 (neg.f64 (log.f64 N)) (pow.f64 N 4)) (+.f64 (fma.f64 -2/3 (/.f64 (neg.f64 (log.f64 N)) (pow.f64 N 3)) (+.f64 (/.f64 (neg.f64 (log.f64 N)) (*.f64 N N)) (+.f64 (/.f64 1 (*.f64 N N)) (*.f64 -2 (/.f64 (neg.f64 (log.f64 N)) N))))) (/.f64 11/12 (pow.f64 N 4)))) (/.f64 1 (pow.f64 N 3))) (+.f64 (log1p.f64 N) (log.f64 N)))
10.7%
(/.f64 (+.f64 (pow.f64 N 5) (*.f64 N (-.f64 (*.f64 (*.f64 1/3 N) N) (*.f64 (pow.f64 N 3) 1/2)))) (*.f64 N (pow.f64 N 5)))
48.4%
(/.f64 (+.f64 (-.f64 (pow.f64 (log1p.f64 N) 2) (pow.f64 (log.f64 N) 2)) (fma.f64 (neg.f64 (log.f64 N)) (log.f64 N) (pow.f64 (log.f64 N) 2))) (+.f64 (log1p.f64 N) (log.f64 N)))
56.7%
(/.f64 1 N)
55.9%
(-.f64 (/.f64 1 N) (/.f64 (/.f64 1/2 N) N))
56.3%
(-.f64 (+.f64 (/.f64 1 N) (/.f64 1/3 (pow.f64 N 3))) (+.f64 (/.f64 1/2 (*.f64 N N)) (/.f64 1/4 (pow.f64 N 4))))
45.5%
(-.f64 N (log.f64 N))
57.0%
(+.f64 (/.f64 1 N) (-.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 1/2 (*.f64 N N))))
49.7%
(neg.f64 (log.f64 (/.f64 N (+.f64 N 1))))
44.1%
(neg.f64 (log.f64 N))
49.6%
(log.f64 (/.f64 (+.f64 N 1) N))
49.0%
(/.f64 (/.f64 (-.f64 (pow.f64 (log1p.f64 N) 4) (*.f64 (neg.f64 (pow.f64 (log.f64 N) 2)) (neg.f64 (pow.f64 (log.f64 N) 2)))) (-.f64 (pow.f64 (log1p.f64 N) 2) (neg.f64 (pow.f64 (log.f64 N) 2)))) (+.f64 (log1p.f64 N) (log.f64 N)))
56.1%
(/.f64 (-.f64 (fma.f64 1/2 (/.f64 (neg.f64 (log.f64 N)) (pow.f64 N 4)) (+.f64 (fma.f64 -2/3 (/.f64 (neg.f64 (log.f64 N)) (pow.f64 N 3)) (+.f64 (/.f64 (neg.f64 (log.f64 N)) (*.f64 N N)) (+.f64 (/.f64 1 (*.f64 N N)) (*.f64 -2 (/.f64 (neg.f64 (log.f64 N)) N))))) (/.f64 11/12 (pow.f64 N 4)))) (/.f64 1 (pow.f64 N 3))) (+.f64 (log1p.f64 N) (log.f64 N)))
10.7%
(/.f64 (+.f64 (pow.f64 N 5) (*.f64 N (-.f64 (*.f64 (*.f64 1/3 N) N) (*.f64 (pow.f64 N 3) 1/2)))) (*.f64 N (pow.f64 N 5)))
48.4%
(/.f64 (+.f64 (-.f64 (pow.f64 (log1p.f64 N) 2) (pow.f64 (log.f64 N) 2)) (fma.f64 (neg.f64 (log.f64 N)) (log.f64 N) (pow.f64 (log.f64 N) 2))) (+.f64 (log1p.f64 N) (log.f64 N)))
56.7%
(/.f64 1 N)
55.9%
(-.f64 (/.f64 1 N) (/.f64 (/.f64 1/2 N) N))
56.3%
(-.f64 (+.f64 (/.f64 1 N) (/.f64 1/3 (pow.f64 N 3))) (+.f64 (/.f64 1/2 (*.f64 N N)) (/.f64 1/4 (pow.f64 N 4))))
45.5%
(-.f64 N (log.f64 N))
57.0%
(+.f64 (/.f64 1 N) (-.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 1/2 (*.f64 N N))))
49.7%
(neg.f64 (log.f64 (/.f64 N (+.f64 N 1))))
44.1%
(neg.f64 (log.f64 N))
49.6%
(log.f64 (/.f64 (+.f64 N 1) N))
Compiler

Compiled 814 to 534 computations (34.4% saved)

localize1.5s (16.6%)

Local Accuracy

Found 16 expressions with local accuracy:

NewAccuracyProgram
98.9%
(/.f64 (neg.f64 (log.f64 N)) (*.f64 N N))
77.2%
(fma.f64 -2/3 (/.f64 (neg.f64 (log.f64 N)) (pow.f64 N 3)) (+.f64 (/.f64 (neg.f64 (log.f64 N)) (*.f64 N N)) (+.f64 (/.f64 1 (*.f64 N N)) (*.f64 -2 (/.f64 (neg.f64 (log.f64 N)) N)))))
76.9%
(-.f64 (fma.f64 1/2 (/.f64 (neg.f64 (log.f64 N)) (pow.f64 N 4)) (+.f64 (fma.f64 -2/3 (/.f64 (neg.f64 (log.f64 N)) (pow.f64 N 3)) (+.f64 (/.f64 (neg.f64 (log.f64 N)) (*.f64 N N)) (+.f64 (/.f64 1 (*.f64 N N)) (*.f64 -2 (/.f64 (neg.f64 (log.f64 N)) N))))) (/.f64 11/12 (pow.f64 N 4)))) (/.f64 1 (pow.f64 N 3)))
76.3%
(+.f64 (fma.f64 -2/3 (/.f64 (neg.f64 (log.f64 N)) (pow.f64 N 3)) (+.f64 (/.f64 (neg.f64 (log.f64 N)) (*.f64 N N)) (+.f64 (/.f64 1 (*.f64 N N)) (*.f64 -2 (/.f64 (neg.f64 (log.f64 N)) N))))) (/.f64 11/12 (pow.f64 N 4)))
99.5%
(/.f64 (+.f64 (-.f64 (pow.f64 (log1p.f64 N) 2) (pow.f64 (log.f64 N) 2)) (fma.f64 (neg.f64 (log.f64 N)) (log.f64 N) (pow.f64 (log.f64 N) 2))) (+.f64 (log1p.f64 N) (log.f64 N)))
99.2%
(pow.f64 (log.f64 N) 2)
49.4%
(-.f64 (pow.f64 (log1p.f64 N) 2) (pow.f64 (log.f64 N) 2))
3.2%
(fma.f64 (neg.f64 (log.f64 N)) (log.f64 N) (pow.f64 (log.f64 N) 2))
100.0%
(/.f64 N (+.f64 N 1))
49.7%
(log.f64 (/.f64 N (+.f64 N 1)))
100.0%
(-.f64 (/.f64 1 N) (/.f64 (/.f64 1/2 N) N))
99.8%
(/.f64 (/.f64 1/2 N) N)
99.7%
(/.f64 1/4 (pow.f64 N 4))
99.6%
(/.f64 1/3 (pow.f64 N 3))
99.2%
(/.f64 1/2 (*.f64 N N))
71.1%
(-.f64 (+.f64 (/.f64 1 N) (/.f64 1/3 (pow.f64 N 3))) (+.f64 (/.f64 1/2 (*.f64 N N)) (/.f64 1/4 (pow.f64 N 4))))
Compiler

Compiled 540 to 263 computations (51.3% saved)

series17.0ms (0.2%)

Counts
12 → 132
Calls

36 calls:

TimeVariablePointExpression
3.0ms
N
@-inf
(/.f64 (+.f64 (-.f64 (pow.f64 (log1p.f64 N) 2) (pow.f64 (log.f64 N) 2)) (fma.f64 (neg.f64 (log.f64 N)) (log.f64 N) (pow.f64 (log.f64 N) 2))) (+.f64 (log1p.f64 N) (log.f64 N)))
2.0ms
N
@0
(-.f64 (fma.f64 1/2 (/.f64 (neg.f64 (log.f64 N)) (pow.f64 N 4)) (+.f64 (fma.f64 -2/3 (/.f64 (neg.f64 (log.f64 N)) (pow.f64 N 3)) (+.f64 (/.f64 (neg.f64 (log.f64 N)) (*.f64 N N)) (+.f64 (/.f64 1 (*.f64 N N)) (*.f64 -2 (/.f64 (neg.f64 (log.f64 N)) N))))) (/.f64 11/12 (pow.f64 N 4)))) (/.f64 1 (pow.f64 N 3)))
2.0ms
N
@inf
(/.f64 (+.f64 (-.f64 (pow.f64 (log1p.f64 N) 2) (pow.f64 (log.f64 N) 2)) (fma.f64 (neg.f64 (log.f64 N)) (log.f64 N) (pow.f64 (log.f64 N) 2))) (+.f64 (log1p.f64 N) (log.f64 N)))
1.0ms
N
@0
(/.f64 1/4 (pow.f64 N 4))
0.0ms
N
@-inf
(+.f64 (fma.f64 -2/3 (/.f64 (neg.f64 (log.f64 N)) (pow.f64 N 3)) (+.f64 (/.f64 (neg.f64 (log.f64 N)) (*.f64 N N)) (+.f64 (/.f64 1 (*.f64 N N)) (*.f64 -2 (/.f64 (neg.f64 (log.f64 N)) N))))) (/.f64 11/12 (pow.f64 N 4)))

rewrite124.0ms (1.3%)

Algorithm
batch-egg-rewrite
Rules
1274×pow1
1240×add-exp-log
1236×add-log-exp
1234×log1p-expm1-u
1234×expm1-log1p-u
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
055624
11337624
Stop Event
node limit
Counts
12 → 131
Calls
Call 1
Inputs
(-.f64 (+.f64 (/.f64 1 N) (/.f64 1/3 (pow.f64 N 3))) (+.f64 (/.f64 1/2 (*.f64 N N)) (/.f64 1/4 (pow.f64 N 4))))
(/.f64 1/4 (pow.f64 N 4))
(/.f64 (/.f64 1/2 N) N)
(-.f64 (/.f64 1 N) (/.f64 (/.f64 1/2 N) N))
(log.f64 (/.f64 N (+.f64 N 1)))
(/.f64 N (+.f64 N 1))
(fma.f64 (neg.f64 (log.f64 N)) (log.f64 N) (pow.f64 (log.f64 N) 2))
(/.f64 (+.f64 (-.f64 (pow.f64 (log1p.f64 N) 2) (pow.f64 (log.f64 N) 2)) (fma.f64 (neg.f64 (log.f64 N)) (log.f64 N) (pow.f64 (log.f64 N) 2))) (+.f64 (log1p.f64 N) (log.f64 N)))
(+.f64 (fma.f64 -2/3 (/.f64 (neg.f64 (log.f64 N)) (pow.f64 N 3)) (+.f64 (/.f64 (neg.f64 (log.f64 N)) (*.f64 N N)) (+.f64 (/.f64 1 (*.f64 N N)) (*.f64 -2 (/.f64 (neg.f64 (log.f64 N)) N))))) (/.f64 11/12 (pow.f64 N 4)))
(-.f64 (fma.f64 1/2 (/.f64 (neg.f64 (log.f64 N)) (pow.f64 N 4)) (+.f64 (fma.f64 -2/3 (/.f64 (neg.f64 (log.f64 N)) (pow.f64 N 3)) (+.f64 (/.f64 (neg.f64 (log.f64 N)) (*.f64 N N)) (+.f64 (/.f64 1 (*.f64 N N)) (*.f64 -2 (/.f64 (neg.f64 (log.f64 N)) N))))) (/.f64 11/12 (pow.f64 N 4)))) (/.f64 1 (pow.f64 N 3)))
(fma.f64 -2/3 (/.f64 (neg.f64 (log.f64 N)) (pow.f64 N 3)) (+.f64 (/.f64 (neg.f64 (log.f64 N)) (*.f64 N N)) (+.f64 (/.f64 1 (*.f64 N N)) (*.f64 -2 (/.f64 (neg.f64 (log.f64 N)) N)))))
(/.f64 (neg.f64 (log.f64 N)) (*.f64 N N))
Outputs
(+.f64 (/.f64 1 N) (-.f64 (*.f64 1/3 (pow.f64 N -3)) (+.f64 (/.f64 1/2 (*.f64 N N)) (/.f64 1/4 (pow.f64 N 4)))))
(+.f64 (+.f64 (/.f64 1 N) (*.f64 1/3 (pow.f64 N -3))) (neg.f64 (+.f64 (/.f64 1/2 (*.f64 N N)) (/.f64 1/4 (pow.f64 N 4)))))
(*.f64 1 (-.f64 (+.f64 (/.f64 1 N) (*.f64 1/3 (pow.f64 N -3))) (+.f64 (/.f64 1/2 (*.f64 N N)) (/.f64 1/4 (pow.f64 N 4)))))
(*.f64 (*.f64 (cbrt.f64 (-.f64 (+.f64 (/.f64 1 N) (*.f64 1/3 (pow.f64 N -3))) (+.f64 (/.f64 1/2 (*.f64 N N)) (/.f64 1/4 (pow.f64 N 4))))) (cbrt.f64 (-.f64 (+.f64 (/.f64 1 N) (*.f64 1/3 (pow.f64 N -3))) (+.f64 (/.f64 1/2 (*.f64 N N)) (/.f64 1/4 (pow.f64 N 4)))))) (cbrt.f64 (-.f64 (+.f64 (/.f64 1 N) (*.f64 1/3 (pow.f64 N -3))) (+.f64 (/.f64 1/2 (*.f64 N N)) (/.f64 1/4 (pow.f64 N 4))))))
(*.f64 (sqrt.f64 (-.f64 (+.f64 (/.f64 1 N) (*.f64 1/3 (pow.f64 N -3))) (+.f64 (/.f64 1/2 (*.f64 N N)) (/.f64 1/4 (pow.f64 N 4))))) (sqrt.f64 (-.f64 (+.f64 (/.f64 1 N) (*.f64 1/3 (pow.f64 N -3))) (+.f64 (/.f64 1/2 (*.f64 N N)) (/.f64 1/4 (pow.f64 N 4))))))
(/.f64 (-.f64 (pow.f64 (+.f64 (/.f64 1 N) (*.f64 1/3 (pow.f64 N -3))) 3) (pow.f64 (+.f64 (/.f64 1/2 (*.f64 N N)) (/.f64 1/4 (pow.f64 N 4))) 3)) (+.f64 (*.f64 (+.f64 (/.f64 1 N) (*.f64 1/3 (pow.f64 N -3))) (+.f64 (/.f64 1 N) (*.f64 1/3 (pow.f64 N -3)))) (+.f64 (*.f64 (+.f64 (/.f64 1/2 (*.f64 N N)) (/.f64 1/4 (pow.f64 N 4))) (+.f64 (/.f64 1/2 (*.f64 N N)) (/.f64 1/4 (pow.f64 N 4)))) (*.f64 (+.f64 (/.f64 1 N) (*.f64 1/3 (pow.f64 N -3))) (+.f64 (/.f64 1/2 (*.f64 N N)) (/.f64 1/4 (pow.f64 N 4)))))))
(/.f64 (-.f64 (*.f64 (+.f64 (/.f64 1 N) (*.f64 1/3 (pow.f64 N -3))) (+.f64 (/.f64 1 N) (*.f64 1/3 (pow.f64 N -3)))) (*.f64 (+.f64 (/.f64 1/2 (*.f64 N N)) (/.f64 1/4 (pow.f64 N 4))) (+.f64 (/.f64 1/2 (*.f64 N N)) (/.f64 1/4 (pow.f64 N 4))))) (+.f64 (+.f64 (/.f64 1 N) (*.f64 1/3 (pow.f64 N -3))) (+.f64 (/.f64 1/2 (*.f64 N N)) (/.f64 1/4 (pow.f64 N 4)))))
(pow.f64 (-.f64 (+.f64 (/.f64 1 N) (*.f64 1/3 (pow.f64 N -3))) (+.f64 (/.f64 1/2 (*.f64 N N)) (/.f64 1/4 (pow.f64 N 4)))) 1)
(log.f64 (exp.f64 (-.f64 (+.f64 (/.f64 1 N) (*.f64 1/3 (pow.f64 N -3))) (+.f64 (/.f64 1/2 (*.f64 N N)) (/.f64 1/4 (pow.f64 N 4))))))
(cbrt.f64 (*.f64 (*.f64 (-.f64 (+.f64 (/.f64 1 N) (*.f64 1/3 (pow.f64 N -3))) (+.f64 (/.f64 1/2 (*.f64 N N)) (/.f64 1/4 (pow.f64 N 4)))) (-.f64 (+.f64 (/.f64 1 N) (*.f64 1/3 (pow.f64 N -3))) (+.f64 (/.f64 1/2 (*.f64 N N)) (/.f64 1/4 (pow.f64 N 4))))) (-.f64 (+.f64 (/.f64 1 N) (*.f64 1/3 (pow.f64 N -3))) (+.f64 (/.f64 1/2 (*.f64 N N)) (/.f64 1/4 (pow.f64 N 4))))))
(expm1.f64 (log1p.f64 (-.f64 (+.f64 (/.f64 1 N) (*.f64 1/3 (pow.f64 N -3))) (+.f64 (/.f64 1/2 (*.f64 N N)) (/.f64 1/4 (pow.f64 N 4))))))
(exp.f64 (log.f64 (-.f64 (+.f64 (/.f64 1 N) (*.f64 1/3 (pow.f64 N -3))) (+.f64 (/.f64 1/2 (*.f64 N N)) (/.f64 1/4 (pow.f64 N 4))))))
(log1p.f64 (expm1.f64 (-.f64 (+.f64 (/.f64 1 N) (*.f64 1/3 (pow.f64 N -3))) (+.f64 (/.f64 1/2 (*.f64 N N)) (/.f64 1/4 (pow.f64 N 4))))))
(*.f64 1 (/.f64 1/4 (pow.f64 N 4)))
(*.f64 1/4 (/.f64 1 (pow.f64 N 4)))
(*.f64 (*.f64 (cbrt.f64 (/.f64 1/4 (pow.f64 N 4))) (cbrt.f64 (/.f64 1/4 (pow.f64 N 4)))) (cbrt.f64 (/.f64 1/4 (pow.f64 N 4))))
(*.f64 (sqrt.f64 (/.f64 1/4 (pow.f64 N 4))) (sqrt.f64 (/.f64 1/4 (pow.f64 N 4))))
(pow.f64 (/.f64 1/4 (pow.f64 N 4)) 1)
(log.f64 (exp.f64 (/.f64 1/4 (pow.f64 N 4))))
(cbrt.f64 (*.f64 (*.f64 (/.f64 1/4 (pow.f64 N 4)) (/.f64 1/4 (pow.f64 N 4))) (/.f64 1/4 (pow.f64 N 4))))
(expm1.f64 (log1p.f64 (/.f64 1/4 (pow.f64 N 4))))
(exp.f64 (log.f64 (/.f64 1/4 (pow.f64 N 4))))
(log1p.f64 (expm1.f64 (/.f64 1/4 (pow.f64 N 4))))
(*.f64 1 (/.f64 1/2 (*.f64 N N)))
(*.f64 1/2 (/.f64 (/.f64 1 N) N))
(*.f64 (/.f64 1/2 N) (/.f64 1 N))
(*.f64 (*.f64 (cbrt.f64 (/.f64 1/2 (*.f64 N N))) (cbrt.f64 (/.f64 1/2 (*.f64 N N)))) (cbrt.f64 (/.f64 1/2 (*.f64 N N))))
(*.f64 (sqrt.f64 (/.f64 1/2 (*.f64 N N))) (sqrt.f64 (/.f64 1/2 (*.f64 N N))))
(pow.f64 (/.f64 1/2 (*.f64 N N)) 1)
(log.f64 (exp.f64 (/.f64 1/2 (*.f64 N N))))
(cbrt.f64 (*.f64 (*.f64 (/.f64 1/2 (*.f64 N N)) (/.f64 1/2 (*.f64 N N))) (/.f64 1/2 (*.f64 N N))))
(expm1.f64 (log1p.f64 (/.f64 1/2 (*.f64 N N))))
(exp.f64 (log.f64 (/.f64 1/2 (*.f64 N N))))
(log1p.f64 (expm1.f64 (/.f64 1/2 (*.f64 N N))))
(+.f64 (/.f64 1 N) (neg.f64 (/.f64 1/2 (*.f64 N N))))
(*.f64 1 (/.f64 (-.f64 1 (/.f64 1/2 N)) N))
(*.f64 (*.f64 (cbrt.f64 (/.f64 (-.f64 1 (/.f64 1/2 N)) N)) (cbrt.f64 (/.f64 (-.f64 1 (/.f64 1/2 N)) N))) (cbrt.f64 (/.f64 (-.f64 1 (/.f64 1/2 N)) N)))
(*.f64 (sqrt.f64 (/.f64 (-.f64 1 (/.f64 1/2 N)) N)) (sqrt.f64 (/.f64 (-.f64 1 (/.f64 1/2 N)) N)))
(/.f64 (-.f64 1 (/.f64 1/2 N)) N)
(/.f64 (-.f64 N (*.f64 N (/.f64 1/2 N))) (*.f64 N N))
(/.f64 (-.f64 (pow.f64 (/.f64 1 N) 3) (pow.f64 (/.f64 1/2 (*.f64 N N)) 3)) (+.f64 (*.f64 (/.f64 1 N) (/.f64 1 N)) (+.f64 (*.f64 (/.f64 1/2 (*.f64 N N)) (/.f64 1/2 (*.f64 N N))) (*.f64 (/.f64 1 N) (/.f64 1/2 (*.f64 N N))))))
(/.f64 (-.f64 (*.f64 (/.f64 1 N) (/.f64 1 N)) (*.f64 (/.f64 1/2 (*.f64 N N)) (/.f64 1/2 (*.f64 N N)))) (+.f64 (/.f64 1 N) (/.f64 1/2 (*.f64 N N))))
(pow.f64 (/.f64 (-.f64 1 (/.f64 1/2 N)) N) 1)
(log.f64 (exp.f64 (/.f64 (-.f64 1 (/.f64 1/2 N)) N)))
(cbrt.f64 (*.f64 (*.f64 (/.f64 (-.f64 1 (/.f64 1/2 N)) N) (/.f64 (-.f64 1 (/.f64 1/2 N)) N)) (/.f64 (-.f64 1 (/.f64 1/2 N)) N)))
(expm1.f64 (log1p.f64 (/.f64 (-.f64 1 (/.f64 1/2 N)) N)))
(exp.f64 (log.f64 (/.f64 (-.f64 1 (/.f64 1/2 N)) N)))
(log1p.f64 (expm1.f64 (/.f64 (-.f64 1 (/.f64 1/2 N)) N)))
(-.f64 (log.f64 N) (log1p.f64 N))
(*.f64 1 (-.f64 (log.f64 N) (log1p.f64 N)))
(*.f64 (*.f64 (cbrt.f64 (-.f64 (log.f64 N) (log1p.f64 N))) (cbrt.f64 (-.f64 (log.f64 N) (log1p.f64 N)))) (cbrt.f64 (-.f64 (log.f64 N) (log1p.f64 N))))
(*.f64 (sqrt.f64 (-.f64 (log.f64 N) (log1p.f64 N))) (sqrt.f64 (-.f64 (log.f64 N) (log1p.f64 N))))
(pow.f64 (-.f64 (log.f64 N) (log1p.f64 N)) 1)
(cbrt.f64 (*.f64 (*.f64 (-.f64 (log.f64 N) (log1p.f64 N)) (-.f64 (log.f64 N) (log1p.f64 N))) (-.f64 (log.f64 N) (log1p.f64 N))))
(expm1.f64 (log1p.f64 (-.f64 (log.f64 N) (log1p.f64 N))))
(exp.f64 (log.f64 (-.f64 (log.f64 N) (log1p.f64 N))))
(log1p.f64 (expm1.f64 (-.f64 (log.f64 N) (log1p.f64 N))))
(*.f64 1 (/.f64 N (+.f64 1 N)))
(*.f64 N (/.f64 1 (+.f64 1 N)))
(*.f64 (*.f64 (cbrt.f64 (/.f64 N (+.f64 1 N))) (cbrt.f64 (/.f64 N (+.f64 1 N)))) (cbrt.f64 (/.f64 N (+.f64 1 N))))
(*.f64 (sqrt.f64 (/.f64 N (+.f64 1 N))) (sqrt.f64 (/.f64 N (+.f64 1 N))))
(pow.f64 (/.f64 N (+.f64 1 N)) 1)
(log.f64 (exp.f64 (/.f64 N (+.f64 1 N))))
(cbrt.f64 (*.f64 (*.f64 (/.f64 N (+.f64 1 N)) (/.f64 N (+.f64 1 N))) (/.f64 N (+.f64 1 N))))
(expm1.f64 (log1p.f64 (/.f64 N (+.f64 1 N))))
(exp.f64 (-.f64 (log.f64 N) (log1p.f64 N)))
(log1p.f64 (expm1.f64 (/.f64 N (+.f64 1 N))))
(+.f64 (*.f64 (neg.f64 (log.f64 N)) (log.f64 N)) (pow.f64 (log.f64 N) 2))
(*.f64 1 (fma.f64 (neg.f64 (log.f64 N)) (log.f64 N) (pow.f64 (log.f64 N) 2)))
(*.f64 (*.f64 (cbrt.f64 (fma.f64 (neg.f64 (log.f64 N)) (log.f64 N) (pow.f64 (log.f64 N) 2))) (cbrt.f64 (fma.f64 (neg.f64 (log.f64 N)) (log.f64 N) (pow.f64 (log.f64 N) 2)))) (cbrt.f64 (fma.f64 (neg.f64 (log.f64 N)) (log.f64 N) (pow.f64 (log.f64 N) 2))))
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(pow.f64 (-.f64 (fma.f64 1/2 (/.f64 (neg.f64 (log.f64 N)) (pow.f64 N 4)) (+.f64 (fma.f64 -2/3 (*.f64 (neg.f64 (log.f64 N)) (pow.f64 N -3)) (+.f64 (/.f64 (neg.f64 (log.f64 N)) (*.f64 N N)) (+.f64 (/.f64 (/.f64 1 N) N) (*.f64 -2 (/.f64 (neg.f64 (log.f64 N)) N))))) (/.f64 11/12 (pow.f64 N 4)))) (pow.f64 N -3)) 1)
(log.f64 (exp.f64 (-.f64 (fma.f64 1/2 (/.f64 (neg.f64 (log.f64 N)) (pow.f64 N 4)) (+.f64 (fma.f64 -2/3 (*.f64 (neg.f64 (log.f64 N)) (pow.f64 N -3)) (+.f64 (/.f64 (neg.f64 (log.f64 N)) (*.f64 N N)) (+.f64 (/.f64 (/.f64 1 N) N) (*.f64 -2 (/.f64 (neg.f64 (log.f64 N)) N))))) (/.f64 11/12 (pow.f64 N 4)))) (pow.f64 N -3))))
(cbrt.f64 (*.f64 (*.f64 (-.f64 (fma.f64 1/2 (/.f64 (neg.f64 (log.f64 N)) (pow.f64 N 4)) (+.f64 (fma.f64 -2/3 (*.f64 (neg.f64 (log.f64 N)) (pow.f64 N -3)) (+.f64 (/.f64 (neg.f64 (log.f64 N)) (*.f64 N N)) (+.f64 (/.f64 (/.f64 1 N) N) (*.f64 -2 (/.f64 (neg.f64 (log.f64 N)) N))))) (/.f64 11/12 (pow.f64 N 4)))) (pow.f64 N -3)) (-.f64 (fma.f64 1/2 (/.f64 (neg.f64 (log.f64 N)) (pow.f64 N 4)) (+.f64 (fma.f64 -2/3 (*.f64 (neg.f64 (log.f64 N)) (pow.f64 N -3)) (+.f64 (/.f64 (neg.f64 (log.f64 N)) (*.f64 N N)) (+.f64 (/.f64 (/.f64 1 N) N) (*.f64 -2 (/.f64 (neg.f64 (log.f64 N)) N))))) (/.f64 11/12 (pow.f64 N 4)))) (pow.f64 N -3))) (-.f64 (fma.f64 1/2 (/.f64 (neg.f64 (log.f64 N)) (pow.f64 N 4)) (+.f64 (fma.f64 -2/3 (*.f64 (neg.f64 (log.f64 N)) (pow.f64 N -3)) (+.f64 (/.f64 (neg.f64 (log.f64 N)) (*.f64 N N)) (+.f64 (/.f64 (/.f64 1 N) N) (*.f64 -2 (/.f64 (neg.f64 (log.f64 N)) N))))) (/.f64 11/12 (pow.f64 N 4)))) (pow.f64 N -3))))
(expm1.f64 (log1p.f64 (-.f64 (fma.f64 1/2 (/.f64 (neg.f64 (log.f64 N)) (pow.f64 N 4)) (+.f64 (fma.f64 -2/3 (*.f64 (neg.f64 (log.f64 N)) (pow.f64 N -3)) (+.f64 (/.f64 (neg.f64 (log.f64 N)) (*.f64 N N)) (+.f64 (/.f64 (/.f64 1 N) N) (*.f64 -2 (/.f64 (neg.f64 (log.f64 N)) N))))) (/.f64 11/12 (pow.f64 N 4)))) (pow.f64 N -3))))
(exp.f64 (log.f64 (-.f64 (fma.f64 1/2 (/.f64 (neg.f64 (log.f64 N)) (pow.f64 N 4)) (+.f64 (fma.f64 -2/3 (*.f64 (neg.f64 (log.f64 N)) (pow.f64 N -3)) (+.f64 (/.f64 (neg.f64 (log.f64 N)) (*.f64 N N)) (+.f64 (/.f64 (/.f64 1 N) N) (*.f64 -2 (/.f64 (neg.f64 (log.f64 N)) N))))) (/.f64 11/12 (pow.f64 N 4)))) (pow.f64 N -3))))
(log1p.f64 (expm1.f64 (-.f64 (fma.f64 1/2 (/.f64 (neg.f64 (log.f64 N)) (pow.f64 N 4)) (+.f64 (fma.f64 -2/3 (*.f64 (neg.f64 (log.f64 N)) (pow.f64 N -3)) (+.f64 (/.f64 (neg.f64 (log.f64 N)) (*.f64 N N)) (+.f64 (/.f64 (/.f64 1 N) N) (*.f64 -2 (/.f64 (neg.f64 (log.f64 N)) N))))) (/.f64 11/12 (pow.f64 N 4)))) (pow.f64 N -3))))
(+.f64 (*.f64 -2/3 (*.f64 (neg.f64 (log.f64 N)) (pow.f64 N -3))) (+.f64 (/.f64 (neg.f64 (log.f64 N)) (*.f64 N N)) (+.f64 (/.f64 (/.f64 1 N) N) (*.f64 -2 (/.f64 (neg.f64 (log.f64 N)) N)))))
(*.f64 1 (fma.f64 -2/3 (*.f64 (neg.f64 (log.f64 N)) (pow.f64 N -3)) (+.f64 (/.f64 (neg.f64 (log.f64 N)) (*.f64 N N)) (+.f64 (/.f64 (/.f64 1 N) N) (*.f64 -2 (/.f64 (neg.f64 (log.f64 N)) N))))))
(*.f64 (*.f64 (cbrt.f64 (fma.f64 -2/3 (*.f64 (neg.f64 (log.f64 N)) (pow.f64 N -3)) (+.f64 (/.f64 (neg.f64 (log.f64 N)) (*.f64 N N)) (+.f64 (/.f64 (/.f64 1 N) N) (*.f64 -2 (/.f64 (neg.f64 (log.f64 N)) N)))))) (cbrt.f64 (fma.f64 -2/3 (*.f64 (neg.f64 (log.f64 N)) (pow.f64 N -3)) (+.f64 (/.f64 (neg.f64 (log.f64 N)) (*.f64 N N)) (+.f64 (/.f64 (/.f64 1 N) N) (*.f64 -2 (/.f64 (neg.f64 (log.f64 N)) N))))))) (cbrt.f64 (fma.f64 -2/3 (*.f64 (neg.f64 (log.f64 N)) (pow.f64 N -3)) (+.f64 (/.f64 (neg.f64 (log.f64 N)) (*.f64 N N)) (+.f64 (/.f64 (/.f64 1 N) N) (*.f64 -2 (/.f64 (neg.f64 (log.f64 N)) N)))))))
(*.f64 (sqrt.f64 (fma.f64 -2/3 (*.f64 (neg.f64 (log.f64 N)) (pow.f64 N -3)) (+.f64 (/.f64 (neg.f64 (log.f64 N)) (*.f64 N N)) (+.f64 (/.f64 (/.f64 1 N) N) (*.f64 -2 (/.f64 (neg.f64 (log.f64 N)) N)))))) (sqrt.f64 (fma.f64 -2/3 (*.f64 (neg.f64 (log.f64 N)) (pow.f64 N -3)) (+.f64 (/.f64 (neg.f64 (log.f64 N)) (*.f64 N N)) (+.f64 (/.f64 (/.f64 1 N) N) (*.f64 -2 (/.f64 (neg.f64 (log.f64 N)) N)))))))
(pow.f64 (fma.f64 -2/3 (*.f64 (neg.f64 (log.f64 N)) (pow.f64 N -3)) (+.f64 (/.f64 (neg.f64 (log.f64 N)) (*.f64 N N)) (+.f64 (/.f64 (/.f64 1 N) N) (*.f64 -2 (/.f64 (neg.f64 (log.f64 N)) N))))) 1)
(log.f64 (exp.f64 (fma.f64 -2/3 (*.f64 (neg.f64 (log.f64 N)) (pow.f64 N -3)) (+.f64 (/.f64 (neg.f64 (log.f64 N)) (*.f64 N N)) (+.f64 (/.f64 (/.f64 1 N) N) (*.f64 -2 (/.f64 (neg.f64 (log.f64 N)) N)))))))
(cbrt.f64 (*.f64 (*.f64 (fma.f64 -2/3 (*.f64 (neg.f64 (log.f64 N)) (pow.f64 N -3)) (+.f64 (/.f64 (neg.f64 (log.f64 N)) (*.f64 N N)) (+.f64 (/.f64 (/.f64 1 N) N) (*.f64 -2 (/.f64 (neg.f64 (log.f64 N)) N))))) (fma.f64 -2/3 (*.f64 (neg.f64 (log.f64 N)) (pow.f64 N -3)) (+.f64 (/.f64 (neg.f64 (log.f64 N)) (*.f64 N N)) (+.f64 (/.f64 (/.f64 1 N) N) (*.f64 -2 (/.f64 (neg.f64 (log.f64 N)) N)))))) (fma.f64 -2/3 (*.f64 (neg.f64 (log.f64 N)) (pow.f64 N -3)) (+.f64 (/.f64 (neg.f64 (log.f64 N)) (*.f64 N N)) (+.f64 (/.f64 (/.f64 1 N) N) (*.f64 -2 (/.f64 (neg.f64 (log.f64 N)) N)))))))
(expm1.f64 (log1p.f64 (fma.f64 -2/3 (*.f64 (neg.f64 (log.f64 N)) (pow.f64 N -3)) (+.f64 (/.f64 (neg.f64 (log.f64 N)) (*.f64 N N)) (+.f64 (/.f64 (/.f64 1 N) N) (*.f64 -2 (/.f64 (neg.f64 (log.f64 N)) N)))))))
(exp.f64 (log.f64 (fma.f64 -2/3 (*.f64 (neg.f64 (log.f64 N)) (pow.f64 N -3)) (+.f64 (/.f64 (neg.f64 (log.f64 N)) (*.f64 N N)) (+.f64 (/.f64 (/.f64 1 N) N) (*.f64 -2 (/.f64 (neg.f64 (log.f64 N)) N)))))))
(log1p.f64 (expm1.f64 (fma.f64 -2/3 (*.f64 (neg.f64 (log.f64 N)) (pow.f64 N -3)) (+.f64 (/.f64 (neg.f64 (log.f64 N)) (*.f64 N N)) (+.f64 (/.f64 (/.f64 1 N) N) (*.f64 -2 (/.f64 (neg.f64 (log.f64 N)) N)))))))
(*.f64 1 (/.f64 (neg.f64 (log.f64 N)) (*.f64 N N)))
(*.f64 (neg.f64 (log.f64 N)) (/.f64 (/.f64 1 N) N))
(*.f64 (*.f64 (cbrt.f64 (/.f64 (neg.f64 (log.f64 N)) (*.f64 N N))) (cbrt.f64 (/.f64 (neg.f64 (log.f64 N)) (*.f64 N N)))) (cbrt.f64 (/.f64 (neg.f64 (log.f64 N)) (*.f64 N N))))
(*.f64 (sqrt.f64 (/.f64 (neg.f64 (log.f64 N)) (*.f64 N N))) (sqrt.f64 (/.f64 (neg.f64 (log.f64 N)) (*.f64 N N))))
(pow.f64 (/.f64 (neg.f64 (log.f64 N)) (*.f64 N N)) 1)
(neg.f64 (/.f64 (log.f64 N) (*.f64 N N)))
(log.f64 (exp.f64 (/.f64 (neg.f64 (log.f64 N)) (*.f64 N N))))
(cbrt.f64 (*.f64 (*.f64 (/.f64 (neg.f64 (log.f64 N)) (*.f64 N N)) (/.f64 (neg.f64 (log.f64 N)) (*.f64 N N))) (/.f64 (neg.f64 (log.f64 N)) (*.f64 N N))))
(expm1.f64 (log1p.f64 (/.f64 (neg.f64 (log.f64 N)) (*.f64 N N))))
(exp.f64 (log.f64 (/.f64 (neg.f64 (log.f64 N)) (*.f64 N N))))
(log1p.f64 (expm1.f64 (/.f64 (neg.f64 (log.f64 N)) (*.f64 N N))))

simplify162.0ms (1.7%)

Algorithm
egg-herbie
Rules
1012×fma-def
706×associate-*r*
702×associate-*l*
534×+-commutative
470×associate-+r+
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
059319461
1176714647
Stop Event
node limit
Counts
263 → 340
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 1/4 (/.f64 1 (pow.f64 N 4))) (*.f64 1/2 (/.f64 1 (pow.f64 N 2)))))
(-.f64 (+.f64 (/.f64 1 N) (*.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 N)
(-.f64 (/.f64 1 N) (*.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 (*.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 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 (*.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 1/2 (pow.f64 N 2))
(/.f64 1/2 (pow.f64 N 2))
(/.f64 1/2 (pow.f64 N 2))
(/.f64 1/2 (pow.f64 N 2))
(/.f64 1/2 (pow.f64 N 2))
(/.f64 1/2 (pow.f64 N 2))
(/.f64 1/2 (pow.f64 N 2))
(/.f64 1/2 (pow.f64 N 2))
(/.f64 1/2 (pow.f64 N 2))
(/.f64 1/2 (pow.f64 N 2))
(/.f64 1/2 (pow.f64 N 2))
(/.f64 -1/2 (pow.f64 N 2))
(-.f64 (/.f64 1 N) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (/.f64 1 N) (*.f64 1/2 (/.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))))
(log.f64 N)
(+.f64 (log.f64 N) (*.f64 -1 N))
(+.f64 (log.f64 N) (+.f64 (*.f64 1/2 (pow.f64 N 2)) (*.f64 -1 N)))
(+.f64 (log.f64 N) (+.f64 (*.f64 1/2 (pow.f64 N 2)) (+.f64 (*.f64 -1 N) (*.f64 -1/3 (pow.f64 N 3)))))
(/.f64 -1 N)
(-.f64 (*.f64 1/2 (/.f64 1 (pow.f64 N 2))) (/.f64 1 N))
(-.f64 (*.f64 1/2 (/.f64 1 (pow.f64 N 2))) (+.f64 (/.f64 1 N) (*.f64 1/3 (/.f64 1 (pow.f64 N 3)))))
(-.f64 (+.f64 (*.f64 1/4 (/.f64 1 (pow.f64 N 4))) (*.f64 1/2 (/.f64 1 (pow.f64 N 2)))) (+.f64 (/.f64 1 N) (*.f64 1/3 (/.f64 1 (pow.f64 N 3)))))
(/.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 N) (*.f64 1/3 (/.f64 1 (pow.f64 N 3)))))
(-.f64 (+.f64 (*.f64 1/4 (/.f64 1 (pow.f64 N 4))) (*.f64 1/2 (/.f64 1 (pow.f64 N 2)))) (+.f64 (/.f64 1 N) (*.f64 1/3 (/.f64 1 (pow.f64 N 3)))))
N
(+.f64 N (*.f64 -1 (pow.f64 N 2)))
(+.f64 N (+.f64 (*.f64 -1 (pow.f64 N 2)) (pow.f64 N 3)))
(+.f64 N (+.f64 (*.f64 -1 (pow.f64 N 4)) (+.f64 (*.f64 -1 (pow.f64 N 2)) (pow.f64 N 3))))
1
(-.f64 1 (/.f64 1 N))
(-.f64 (+.f64 1 (/.f64 1 (pow.f64 N 2))) (/.f64 1 N))
(-.f64 (+.f64 1 (/.f64 1 (pow.f64 N 2))) (+.f64 (/.f64 1 (pow.f64 N 3)) (/.f64 1 N)))
1
(-.f64 1 (/.f64 1 N))
(-.f64 (+.f64 1 (/.f64 1 (pow.f64 N 2))) (/.f64 1 N))
(-.f64 (+.f64 1 (/.f64 1 (pow.f64 N 2))) (+.f64 (/.f64 1 (pow.f64 N 3)) (/.f64 1 N)))
(+.f64 (pow.f64 (log.f64 N) 2) (*.f64 -1 (pow.f64 (log.f64 N) 2)))
(+.f64 (pow.f64 (log.f64 N) 2) (*.f64 -1 (pow.f64 (log.f64 N) 2)))
(+.f64 (pow.f64 (log.f64 N) 2) (*.f64 -1 (pow.f64 (log.f64 N) 2)))
(+.f64 (pow.f64 (log.f64 N) 2) (*.f64 -1 (pow.f64 (log.f64 N) 2)))
(+.f64 (*.f64 -1 (pow.f64 (log.f64 (/.f64 1 N)) 2)) (pow.f64 (log.f64 (/.f64 1 N)) 2))
(+.f64 (*.f64 -1 (pow.f64 (log.f64 (/.f64 1 N)) 2)) (pow.f64 (log.f64 (/.f64 1 N)) 2))
(+.f64 (*.f64 -1 (pow.f64 (log.f64 (/.f64 1 N)) 2)) (pow.f64 (log.f64 (/.f64 1 N)) 2))
(+.f64 (*.f64 -1 (pow.f64 (log.f64 (/.f64 1 N)) 2)) (pow.f64 (log.f64 (/.f64 1 N)) 2))
(+.f64 (*.f64 -1 (pow.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 N)))) 2)) (pow.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 N)))) 2))
(+.f64 (*.f64 -1 (pow.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 N)))) 2)) (pow.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 N)))) 2))
(+.f64 (*.f64 -1 (pow.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 N)))) 2)) (pow.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 N)))) 2))
(+.f64 (*.f64 -1 (pow.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 N)))) 2)) (pow.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 N)))) 2))
(*.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 1/3 (pow.f64 N 3)) (*.f64 -1/2 (pow.f64 N 2)))))
(*.f64 -1/2 (/.f64 (-.f64 (+.f64 (*.f64 2 (pow.f64 (log.f64 (/.f64 1 N)) 2)) (*.f64 -1 (pow.f64 (log.f64 (/.f64 1 N)) 2))) (pow.f64 (log.f64 (/.f64 1 N)) 2)) (log.f64 (/.f64 1 N))))
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(+.f64 (*.f64 -2/3 (*.f64 (neg.f64 (log.f64 N)) (pow.f64 N -3))) (+.f64 (/.f64 (neg.f64 (log.f64 N)) (*.f64 N N)) (+.f64 (/.f64 (/.f64 1 N) N) (*.f64 -2 (/.f64 (neg.f64 (log.f64 N)) N)))))
(*.f64 1 (fma.f64 -2/3 (*.f64 (neg.f64 (log.f64 N)) (pow.f64 N -3)) (+.f64 (/.f64 (neg.f64 (log.f64 N)) (*.f64 N N)) (+.f64 (/.f64 (/.f64 1 N) N) (*.f64 -2 (/.f64 (neg.f64 (log.f64 N)) N))))))
(*.f64 (*.f64 (cbrt.f64 (fma.f64 -2/3 (*.f64 (neg.f64 (log.f64 N)) (pow.f64 N -3)) (+.f64 (/.f64 (neg.f64 (log.f64 N)) (*.f64 N N)) (+.f64 (/.f64 (/.f64 1 N) N) (*.f64 -2 (/.f64 (neg.f64 (log.f64 N)) N)))))) (cbrt.f64 (fma.f64 -2/3 (*.f64 (neg.f64 (log.f64 N)) (pow.f64 N -3)) (+.f64 (/.f64 (neg.f64 (log.f64 N)) (*.f64 N N)) (+.f64 (/.f64 (/.f64 1 N) N) (*.f64 -2 (/.f64 (neg.f64 (log.f64 N)) N))))))) (cbrt.f64 (fma.f64 -2/3 (*.f64 (neg.f64 (log.f64 N)) (pow.f64 N -3)) (+.f64 (/.f64 (neg.f64 (log.f64 N)) (*.f64 N N)) (+.f64 (/.f64 (/.f64 1 N) N) (*.f64 -2 (/.f64 (neg.f64 (log.f64 N)) N)))))))
(*.f64 (sqrt.f64 (fma.f64 -2/3 (*.f64 (neg.f64 (log.f64 N)) (pow.f64 N -3)) (+.f64 (/.f64 (neg.f64 (log.f64 N)) (*.f64 N N)) (+.f64 (/.f64 (/.f64 1 N) N) (*.f64 -2 (/.f64 (neg.f64 (log.f64 N)) N)))))) (sqrt.f64 (fma.f64 -2/3 (*.f64 (neg.f64 (log.f64 N)) (pow.f64 N -3)) (+.f64 (/.f64 (neg.f64 (log.f64 N)) (*.f64 N N)) (+.f64 (/.f64 (/.f64 1 N) N) (*.f64 -2 (/.f64 (neg.f64 (log.f64 N)) N)))))))
(pow.f64 (fma.f64 -2/3 (*.f64 (neg.f64 (log.f64 N)) (pow.f64 N -3)) (+.f64 (/.f64 (neg.f64 (log.f64 N)) (*.f64 N N)) (+.f64 (/.f64 (/.f64 1 N) N) (*.f64 -2 (/.f64 (neg.f64 (log.f64 N)) N))))) 1)
(log.f64 (exp.f64 (fma.f64 -2/3 (*.f64 (neg.f64 (log.f64 N)) (pow.f64 N -3)) (+.f64 (/.f64 (neg.f64 (log.f64 N)) (*.f64 N N)) (+.f64 (/.f64 (/.f64 1 N) N) (*.f64 -2 (/.f64 (neg.f64 (log.f64 N)) N)))))))
(cbrt.f64 (*.f64 (*.f64 (fma.f64 -2/3 (*.f64 (neg.f64 (log.f64 N)) (pow.f64 N -3)) (+.f64 (/.f64 (neg.f64 (log.f64 N)) (*.f64 N N)) (+.f64 (/.f64 (/.f64 1 N) N) (*.f64 -2 (/.f64 (neg.f64 (log.f64 N)) N))))) (fma.f64 -2/3 (*.f64 (neg.f64 (log.f64 N)) (pow.f64 N -3)) (+.f64 (/.f64 (neg.f64 (log.f64 N)) (*.f64 N N)) (+.f64 (/.f64 (/.f64 1 N) N) (*.f64 -2 (/.f64 (neg.f64 (log.f64 N)) N)))))) (fma.f64 -2/3 (*.f64 (neg.f64 (log.f64 N)) (pow.f64 N -3)) (+.f64 (/.f64 (neg.f64 (log.f64 N)) (*.f64 N N)) (+.f64 (/.f64 (/.f64 1 N) N) (*.f64 -2 (/.f64 (neg.f64 (log.f64 N)) N)))))))
(expm1.f64 (log1p.f64 (fma.f64 -2/3 (*.f64 (neg.f64 (log.f64 N)) (pow.f64 N -3)) (+.f64 (/.f64 (neg.f64 (log.f64 N)) (*.f64 N N)) (+.f64 (/.f64 (/.f64 1 N) N) (*.f64 -2 (/.f64 (neg.f64 (log.f64 N)) N)))))))
(exp.f64 (log.f64 (fma.f64 -2/3 (*.f64 (neg.f64 (log.f64 N)) (pow.f64 N -3)) (+.f64 (/.f64 (neg.f64 (log.f64 N)) (*.f64 N N)) (+.f64 (/.f64 (/.f64 1 N) N) (*.f64 -2 (/.f64 (neg.f64 (log.f64 N)) N)))))))
(log1p.f64 (expm1.f64 (fma.f64 -2/3 (*.f64 (neg.f64 (log.f64 N)) (pow.f64 N -3)) (+.f64 (/.f64 (neg.f64 (log.f64 N)) (*.f64 N N)) (+.f64 (/.f64 (/.f64 1 N) N) (*.f64 -2 (/.f64 (neg.f64 (log.f64 N)) N)))))))
(*.f64 1 (/.f64 (neg.f64 (log.f64 N)) (*.f64 N N)))
(*.f64 (neg.f64 (log.f64 N)) (/.f64 (/.f64 1 N) N))
(*.f64 (*.f64 (cbrt.f64 (/.f64 (neg.f64 (log.f64 N)) (*.f64 N N))) (cbrt.f64 (/.f64 (neg.f64 (log.f64 N)) (*.f64 N N)))) (cbrt.f64 (/.f64 (neg.f64 (log.f64 N)) (*.f64 N N))))
(*.f64 (sqrt.f64 (/.f64 (neg.f64 (log.f64 N)) (*.f64 N N))) (sqrt.f64 (/.f64 (neg.f64 (log.f64 N)) (*.f64 N N))))
(pow.f64 (/.f64 (neg.f64 (log.f64 N)) (*.f64 N N)) 1)
(neg.f64 (/.f64 (log.f64 N) (*.f64 N N)))
(log.f64 (exp.f64 (/.f64 (neg.f64 (log.f64 N)) (*.f64 N N))))
(cbrt.f64 (*.f64 (*.f64 (/.f64 (neg.f64 (log.f64 N)) (*.f64 N N)) (/.f64 (neg.f64 (log.f64 N)) (*.f64 N N))) (/.f64 (neg.f64 (log.f64 N)) (*.f64 N N))))
(expm1.f64 (log1p.f64 (/.f64 (neg.f64 (log.f64 N)) (*.f64 N N))))
(exp.f64 (log.f64 (/.f64 (neg.f64 (log.f64 N)) (*.f64 N N))))
(log1p.f64 (expm1.f64 (/.f64 (neg.f64 (log.f64 N)) (*.f64 N 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 1/4 (/.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 1/2 (*.f64 N N)) (/.f64 1/4 (pow.f64 N 4))))
(-.f64 (+.f64 (/.f64 1 N) (*.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 N)) (+.f64 (/.f64 1/2 (*.f64 N N)) (/.f64 1/4 (pow.f64 N 4))))
(+.f64 (+.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 (+.f64 1 (/.f64 -1/2 N)) N)) (/.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 (/.f64 1/2 N)) N)
(/.f64 (+.f64 1 (/.f64 -1/2 N)) N)
(-.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 (*.f64 N N))))
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 (+.f64 1 (/.f64 -1/2 N)) N))
(-.f64 (+.f64 (/.f64 1 N) (*.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 N)) (+.f64 (/.f64 1/2 (*.f64 N N)) (/.f64 1/4 (pow.f64 N 4))))
(+.f64 (+.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 (+.f64 1 (/.f64 -1/2 N)) N)) (/.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 (/.f64 1/2 N)) N)
(/.f64 (+.f64 1 (/.f64 -1/2 N)) N)
(-.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 (*.f64 N N))))
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 (+.f64 1 (/.f64 -1/2 N)) N))
(-.f64 (+.f64 (/.f64 1 N) (*.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 N)) (+.f64 (/.f64 1/2 (*.f64 N N)) (/.f64 1/4 (pow.f64 N 4))))
(+.f64 (+.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 (+.f64 1 (/.f64 -1/2 N)) N)) (/.f64 -1/4 (pow.f64 N 4)))
(/.f64 1/2 (pow.f64 N 2))
(/.f64 1/2 (*.f64 N N))
(/.f64 1/2 (pow.f64 N 2))
(/.f64 1/2 (*.f64 N N))
(/.f64 1/2 (pow.f64 N 2))
(/.f64 1/2 (*.f64 N N))
(/.f64 1/2 (pow.f64 N 2))
(/.f64 1/2 (*.f64 N N))
(/.f64 1/2 (pow.f64 N 2))
(/.f64 1/2 (*.f64 N N))
(/.f64 1/2 (pow.f64 N 2))
(/.f64 1/2 (*.f64 N N))
(/.f64 1/2 (pow.f64 N 2))
(/.f64 1/2 (*.f64 N N))
(/.f64 1/2 (pow.f64 N 2))
(/.f64 1/2 (*.f64 N N))
(/.f64 1/2 (pow.f64 N 2))
(/.f64 1/2 (*.f64 N N))
(/.f64 1/2 (pow.f64 N 2))
(/.f64 1/2 (*.f64 N N))
(/.f64 1/2 (pow.f64 N 2))
(/.f64 1/2 (*.f64 N N))
(/.f64 1/2 (pow.f64 N 2))
(/.f64 1/2 (*.f64 N N))
(/.f64 -1/2 (pow.f64 N 2))
(/.f64 -1/2 (*.f64 N N))
(-.f64 (/.f64 1 N) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(/.f64 (-.f64 1 (/.f64 1/2 N)) N)
(/.f64 (+.f64 1 (/.f64 -1/2 N)) N)
(-.f64 (/.f64 1 N) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(/.f64 (-.f64 1 (/.f64 1/2 N)) N)
(/.f64 (+.f64 1 (/.f64 -1/2 N)) N)
(-.f64 (/.f64 1 N) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(/.f64 (-.f64 1 (/.f64 1/2 N)) N)
(/.f64 (+.f64 1 (/.f64 -1/2 N)) N)
(/.f64 1 N)
(-.f64 (/.f64 1 N) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(/.f64 (-.f64 1 (/.f64 1/2 N)) N)
(/.f64 (+.f64 1 (/.f64 -1/2 N)) N)
(-.f64 (/.f64 1 N) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(/.f64 (-.f64 1 (/.f64 1/2 N)) N)
(/.f64 (+.f64 1 (/.f64 -1/2 N)) N)
(-.f64 (/.f64 1 N) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(/.f64 (-.f64 1 (/.f64 1/2 N)) N)
(/.f64 (+.f64 1 (/.f64 -1/2 N)) N)
(/.f64 1 N)
(-.f64 (/.f64 1 N) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(/.f64 (-.f64 1 (/.f64 1/2 N)) N)
(/.f64 (+.f64 1 (/.f64 -1/2 N)) N)
(-.f64 (/.f64 1 N) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(/.f64 (-.f64 1 (/.f64 1/2 N)) N)
(/.f64 (+.f64 1 (/.f64 -1/2 N)) N)
(-.f64 (/.f64 1 N) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(/.f64 (-.f64 1 (/.f64 1/2 N)) N)
(/.f64 (+.f64 1 (/.f64 -1/2 N)) N)
(log.f64 N)
(+.f64 (log.f64 N) (*.f64 -1 N))
(+.f64 (log.f64 N) (neg.f64 N))
(-.f64 (log.f64 N) N)
(+.f64 (log.f64 N) (+.f64 (*.f64 1/2 (pow.f64 N 2)) (*.f64 -1 N)))
(+.f64 (log.f64 N) (fma.f64 1/2 (*.f64 N N) (neg.f64 N)))
(+.f64 (log.f64 N) (+.f64 (*.f64 1/2 (pow.f64 N 2)) (+.f64 (*.f64 -1 N) (*.f64 -1/3 (pow.f64 N 3)))))
(+.f64 (log.f64 N) (fma.f64 1/2 (*.f64 N N) (fma.f64 -1 N (*.f64 (pow.f64 N 3) -1/3))))
(+.f64 (log.f64 N) (fma.f64 1/2 (*.f64 N N) (fma.f64 (pow.f64 N 3) -1/3 (neg.f64 N))))
(/.f64 -1 N)
(-.f64 (*.f64 1/2 (/.f64 1 (pow.f64 N 2))) (/.f64 1 N))
(-.f64 (/.f64 1/2 (*.f64 N N)) (/.f64 1 N))
(+.f64 (/.f64 1/2 (*.f64 N N)) (/.f64 -1 N))
(-.f64 (*.f64 1/2 (/.f64 1 (pow.f64 N 2))) (+.f64 (/.f64 1 N) (*.f64 1/3 (/.f64 1 (pow.f64 N 3)))))
(-.f64 (-.f64 (/.f64 1/2 (*.f64 N N)) (/.f64 1 N)) (/.f64 1/3 (pow.f64 N 3)))
(+.f64 (/.f64 1/2 (*.f64 N N)) (-.f64 (/.f64 -1 N) (/.f64 1/3 (pow.f64 N 3))))
(-.f64 (+.f64 (*.f64 1/4 (/.f64 1 (pow.f64 N 4))) (*.f64 1/2 (/.f64 1 (pow.f64 N 2)))) (+.f64 (/.f64 1 N) (*.f64 1/3 (/.f64 1 (pow.f64 N 3)))))
(+.f64 (/.f64 1/4 (pow.f64 N 4)) (-.f64 (-.f64 (/.f64 1/2 (*.f64 N N)) (/.f64 1 N)) (/.f64 1/3 (pow.f64 N 3))))
(+.f64 (+.f64 (/.f64 1/2 (*.f64 N N)) (-.f64 (/.f64 -1 N) (/.f64 1/3 (pow.f64 N 3)))) (/.f64 1/4 (pow.f64 N 4)))
(/.f64 -1 N)
(-.f64 (*.f64 1/2 (/.f64 1 (pow.f64 N 2))) (/.f64 1 N))
(-.f64 (/.f64 1/2 (*.f64 N N)) (/.f64 1 N))
(+.f64 (/.f64 1/2 (*.f64 N N)) (/.f64 -1 N))
(-.f64 (*.f64 1/2 (/.f64 1 (pow.f64 N 2))) (+.f64 (/.f64 1 N) (*.f64 1/3 (/.f64 1 (pow.f64 N 3)))))
(-.f64 (-.f64 (/.f64 1/2 (*.f64 N N)) (/.f64 1 N)) (/.f64 1/3 (pow.f64 N 3)))
(+.f64 (/.f64 1/2 (*.f64 N N)) (-.f64 (/.f64 -1 N) (/.f64 1/3 (pow.f64 N 3))))
(-.f64 (+.f64 (*.f64 1/4 (/.f64 1 (pow.f64 N 4))) (*.f64 1/2 (/.f64 1 (pow.f64 N 2)))) (+.f64 (/.f64 1 N) (*.f64 1/3 (/.f64 1 (pow.f64 N 3)))))
(+.f64 (/.f64 1/4 (pow.f64 N 4)) (-.f64 (-.f64 (/.f64 1/2 (*.f64 N N)) (/.f64 1 N)) (/.f64 1/3 (pow.f64 N 3))))
(+.f64 (+.f64 (/.f64 1/2 (*.f64 N N)) (-.f64 (/.f64 -1 N) (/.f64 1/3 (pow.f64 N 3)))) (/.f64 1/4 (pow.f64 N 4)))
N
(+.f64 N (*.f64 -1 (pow.f64 N 2)))
(+.f64 N (neg.f64 (*.f64 N N)))
(-.f64 N (*.f64 N N))
(+.f64 N (+.f64 (*.f64 -1 (pow.f64 N 2)) (pow.f64 N 3)))
(+.f64 N (fma.f64 -1 (*.f64 N N) (pow.f64 N 3)))
(+.f64 N (-.f64 (pow.f64 N 3) (*.f64 N N)))
(+.f64 N (+.f64 (*.f64 -1 (pow.f64 N 4)) (+.f64 (*.f64 -1 (pow.f64 N 2)) (pow.f64 N 3))))
(+.f64 N (fma.f64 -1 (pow.f64 N 4) (fma.f64 -1 (*.f64 N N) (pow.f64 N 3))))
(+.f64 (-.f64 (pow.f64 N 3) (*.f64 N N)) (-.f64 N (pow.f64 N 4)))
1
(-.f64 1 (/.f64 1 N))
(+.f64 1 (/.f64 -1 N))
(-.f64 (+.f64 1 (/.f64 1 (pow.f64 N 2))) (/.f64 1 N))
(+.f64 1 (-.f64 (/.f64 1 (*.f64 N N)) (/.f64 1 N)))
(+.f64 (/.f64 1 (*.f64 N N)) (+.f64 1 (/.f64 -1 N)))
(-.f64 (+.f64 1 (/.f64 1 (pow.f64 N 2))) (+.f64 (/.f64 1 (pow.f64 N 3)) (/.f64 1 N)))
(+.f64 1 (-.f64 (/.f64 1 (*.f64 N N)) (+.f64 (/.f64 1 (pow.f64 N 3)) (/.f64 1 N))))
(-.f64 (+.f64 (/.f64 1 (*.f64 N N)) (+.f64 1 (/.f64 -1 N))) (/.f64 1 (pow.f64 N 3)))
1
(-.f64 1 (/.f64 1 N))
(+.f64 1 (/.f64 -1 N))
(-.f64 (+.f64 1 (/.f64 1 (pow.f64 N 2))) (/.f64 1 N))
(+.f64 1 (-.f64 (/.f64 1 (*.f64 N N)) (/.f64 1 N)))
(+.f64 (/.f64 1 (*.f64 N N)) (+.f64 1 (/.f64 -1 N)))
(-.f64 (+.f64 1 (/.f64 1 (pow.f64 N 2))) (+.f64 (/.f64 1 (pow.f64 N 3)) (/.f64 1 N)))
(+.f64 1 (-.f64 (/.f64 1 (*.f64 N N)) (+.f64 (/.f64 1 (pow.f64 N 3)) (/.f64 1 N))))
(-.f64 (+.f64 (/.f64 1 (*.f64 N N)) (+.f64 1 (/.f64 -1 N))) (/.f64 1 (pow.f64 N 3)))
(+.f64 (pow.f64 (log.f64 N) 2) (*.f64 -1 (pow.f64 (log.f64 N) 2)))
(*.f64 0 (pow.f64 (log.f64 N) 2))
0
(+.f64 (pow.f64 (log.f64 N) 2) (*.f64 -1 (pow.f64 (log.f64 N) 2)))
(*.f64 0 (pow.f64 (log.f64 N) 2))
0
(+.f64 (pow.f64 (log.f64 N) 2) (*.f64 -1 (pow.f64 (log.f64 N) 2)))
(*.f64 0 (pow.f64 (log.f64 N) 2))
0
(+.f64 (pow.f64 (log.f64 N) 2) (*.f64 -1 (pow.f64 (log.f64 N) 2)))
(*.f64 0 (pow.f64 (log.f64 N) 2))
0
(+.f64 (*.f64 -1 (pow.f64 (log.f64 (/.f64 1 N)) 2)) (pow.f64 (log.f64 (/.f64 1 N)) 2))
(*.f64 0 (pow.f64 (log.f64 N) 2))
0
(+.f64 (*.f64 -1 (pow.f64 (log.f64 (/.f64 1 N)) 2)) (pow.f64 (log.f64 (/.f64 1 N)) 2))
(*.f64 0 (pow.f64 (log.f64 N) 2))
0
(+.f64 (*.f64 -1 (pow.f64 (log.f64 (/.f64 1 N)) 2)) (pow.f64 (log.f64 (/.f64 1 N)) 2))
(*.f64 0 (pow.f64 (log.f64 N) 2))
0
(+.f64 (*.f64 -1 (pow.f64 (log.f64 (/.f64 1 N)) 2)) (pow.f64 (log.f64 (/.f64 1 N)) 2))
(*.f64 0 (pow.f64 (log.f64 N) 2))
0
(+.f64 (*.f64 -1 (pow.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 N)))) 2)) (pow.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 N)))) 2))
(*.f64 0 (pow.f64 (log.f64 N) 2))
0
(+.f64 (*.f64 -1 (pow.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 N)))) 2)) (pow.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 N)))) 2))
(*.f64 0 (pow.f64 (log.f64 N) 2))
0
(+.f64 (*.f64 -1 (pow.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 N)))) 2)) (pow.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 N)))) 2))
(*.f64 0 (pow.f64 (log.f64 N) 2))
0
(+.f64 (*.f64 -1 (pow.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 N)))) 2)) (pow.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 N)))) 2))
(*.f64 0 (pow.f64 (log.f64 N) 2))
0
(*.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 (*.f64 N N) -1/2)))
(+.f64 N (-.f64 (*.f64 N (*.f64 N -1/2)) (log.f64 N)))
(+.f64 N (+.f64 (*.f64 -1 (log.f64 N)) (+.f64 (*.f64 1/3 (pow.f64 N 3)) (*.f64 -1/2 (pow.f64 N 2)))))
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(/.f64 (fma.f64 (fma.f64 1/2 (/.f64 (neg.f64 (log.f64 N)) (pow.f64 N 4)) (+.f64 (/.f64 11/12 (pow.f64 N 4)) (fma.f64 -2/3 (*.f64 (neg.f64 (log.f64 N)) (pow.f64 N -3)) (+.f64 (+.f64 (/.f64 1 (*.f64 N N)) (*.f64 -2 (/.f64 (neg.f64 (log.f64 N)) N))) (/.f64 (neg.f64 (log.f64 N)) (*.f64 N N)))))) (fma.f64 1/2 (/.f64 (neg.f64 (log.f64 N)) (pow.f64 N 4)) (+.f64 (/.f64 11/12 (pow.f64 N 4)) (fma.f64 -2/3 (*.f64 (neg.f64 (log.f64 N)) (pow.f64 N -3)) (+.f64 (+.f64 (/.f64 1 (*.f64 N N)) (*.f64 -2 (/.f64 (neg.f64 (log.f64 N)) N))) (/.f64 (neg.f64 (log.f64 N)) (*.f64 N N)))))) (neg.f64 (pow.f64 N -6))) (+.f64 (pow.f64 N -3) (fma.f64 1/2 (/.f64 (neg.f64 (log.f64 N)) (pow.f64 N 4)) (+.f64 (/.f64 11/12 (pow.f64 N 4)) (fma.f64 -2/3 (*.f64 (neg.f64 (log.f64 N)) (pow.f64 N -3)) (+.f64 (+.f64 (/.f64 1 (*.f64 N N)) (*.f64 -2 (/.f64 (neg.f64 (log.f64 N)) N))) (/.f64 (neg.f64 (log.f64 N)) (*.f64 N N))))))))
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(pow.f64 (-.f64 (fma.f64 1/2 (/.f64 (neg.f64 (log.f64 N)) (pow.f64 N 4)) (+.f64 (fma.f64 -2/3 (*.f64 (neg.f64 (log.f64 N)) (pow.f64 N -3)) (+.f64 (/.f64 (neg.f64 (log.f64 N)) (*.f64 N N)) (+.f64 (/.f64 (/.f64 1 N) N) (*.f64 -2 (/.f64 (neg.f64 (log.f64 N)) N))))) (/.f64 11/12 (pow.f64 N 4)))) (pow.f64 N -3)) 1)
(-.f64 (fma.f64 1/2 (/.f64 (neg.f64 (log.f64 N)) (pow.f64 N 4)) (+.f64 (/.f64 11/12 (pow.f64 N 4)) (fma.f64 -2/3 (*.f64 (neg.f64 (log.f64 N)) (pow.f64 N -3)) (+.f64 (+.f64 (/.f64 1 (*.f64 N N)) (*.f64 -2 (/.f64 (neg.f64 (log.f64 N)) N))) (/.f64 (neg.f64 (log.f64 N)) (*.f64 N N)))))) (pow.f64 N -3))
(+.f64 (*.f64 -1/2 (/.f64 (log.f64 N) (pow.f64 N 4))) (-.f64 (+.f64 (/.f64 11/12 (pow.f64 N 4)) (fma.f64 (*.f64 (log.f64 N) 2/3) (pow.f64 N -3) (+.f64 (/.f64 1 (*.f64 N N)) (-.f64 (/.f64 (log.f64 (*.f64 N N)) N) (/.f64 (log.f64 N) (*.f64 N N)))))) (pow.f64 N -3)))
(log.f64 (exp.f64 (-.f64 (fma.f64 1/2 (/.f64 (neg.f64 (log.f64 N)) (pow.f64 N 4)) (+.f64 (fma.f64 -2/3 (*.f64 (neg.f64 (log.f64 N)) (pow.f64 N -3)) (+.f64 (/.f64 (neg.f64 (log.f64 N)) (*.f64 N N)) (+.f64 (/.f64 (/.f64 1 N) N) (*.f64 -2 (/.f64 (neg.f64 (log.f64 N)) N))))) (/.f64 11/12 (pow.f64 N 4)))) (pow.f64 N -3))))
(-.f64 (fma.f64 1/2 (/.f64 (neg.f64 (log.f64 N)) (pow.f64 N 4)) (+.f64 (/.f64 11/12 (pow.f64 N 4)) (fma.f64 -2/3 (*.f64 (neg.f64 (log.f64 N)) (pow.f64 N -3)) (+.f64 (+.f64 (/.f64 1 (*.f64 N N)) (*.f64 -2 (/.f64 (neg.f64 (log.f64 N)) N))) (/.f64 (neg.f64 (log.f64 N)) (*.f64 N N)))))) (pow.f64 N -3))
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(expm1.f64 (log1p.f64 (-.f64 (fma.f64 1/2 (/.f64 (neg.f64 (log.f64 N)) (pow.f64 N 4)) (+.f64 (fma.f64 -2/3 (*.f64 (neg.f64 (log.f64 N)) (pow.f64 N -3)) (+.f64 (/.f64 (neg.f64 (log.f64 N)) (*.f64 N N)) (+.f64 (/.f64 (/.f64 1 N) N) (*.f64 -2 (/.f64 (neg.f64 (log.f64 N)) N))))) (/.f64 11/12 (pow.f64 N 4)))) (pow.f64 N -3))))
(-.f64 (fma.f64 1/2 (/.f64 (neg.f64 (log.f64 N)) (pow.f64 N 4)) (+.f64 (/.f64 11/12 (pow.f64 N 4)) (fma.f64 -2/3 (*.f64 (neg.f64 (log.f64 N)) (pow.f64 N -3)) (+.f64 (+.f64 (/.f64 1 (*.f64 N N)) (*.f64 -2 (/.f64 (neg.f64 (log.f64 N)) N))) (/.f64 (neg.f64 (log.f64 N)) (*.f64 N N)))))) (pow.f64 N -3))
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(exp.f64 (log.f64 (-.f64 (fma.f64 1/2 (/.f64 (neg.f64 (log.f64 N)) (pow.f64 N 4)) (+.f64 (fma.f64 -2/3 (*.f64 (neg.f64 (log.f64 N)) (pow.f64 N -3)) (+.f64 (/.f64 (neg.f64 (log.f64 N)) (*.f64 N N)) (+.f64 (/.f64 (/.f64 1 N) N) (*.f64 -2 (/.f64 (neg.f64 (log.f64 N)) N))))) (/.f64 11/12 (pow.f64 N 4)))) (pow.f64 N -3))))
(-.f64 (fma.f64 1/2 (/.f64 (neg.f64 (log.f64 N)) (pow.f64 N 4)) (+.f64 (/.f64 11/12 (pow.f64 N 4)) (fma.f64 -2/3 (*.f64 (neg.f64 (log.f64 N)) (pow.f64 N -3)) (+.f64 (+.f64 (/.f64 1 (*.f64 N N)) (*.f64 -2 (/.f64 (neg.f64 (log.f64 N)) N))) (/.f64 (neg.f64 (log.f64 N)) (*.f64 N N)))))) (pow.f64 N -3))
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(-.f64 (fma.f64 1/2 (/.f64 (neg.f64 (log.f64 N)) (pow.f64 N 4)) (+.f64 (/.f64 11/12 (pow.f64 N 4)) (fma.f64 -2/3 (*.f64 (neg.f64 (log.f64 N)) (pow.f64 N -3)) (+.f64 (+.f64 (/.f64 1 (*.f64 N N)) (*.f64 -2 (/.f64 (neg.f64 (log.f64 N)) N))) (/.f64 (neg.f64 (log.f64 N)) (*.f64 N N)))))) (pow.f64 N -3))
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(+.f64 (*.f64 -2/3 (*.f64 (neg.f64 (log.f64 N)) (pow.f64 N -3))) (+.f64 (/.f64 (neg.f64 (log.f64 N)) (*.f64 N N)) (+.f64 (/.f64 (/.f64 1 N) N) (*.f64 -2 (/.f64 (neg.f64 (log.f64 N)) N)))))
(fma.f64 -2/3 (*.f64 (neg.f64 (log.f64 N)) (pow.f64 N -3)) (+.f64 (+.f64 (/.f64 1 (*.f64 N N)) (*.f64 -2 (/.f64 (neg.f64 (log.f64 N)) N))) (/.f64 (neg.f64 (log.f64 N)) (*.f64 N N))))
(fma.f64 (*.f64 (log.f64 N) 2/3) (pow.f64 N -3) (+.f64 (/.f64 1 (*.f64 N N)) (-.f64 (/.f64 (log.f64 (*.f64 N N)) N) (/.f64 (log.f64 N) (*.f64 N N)))))
(*.f64 1 (fma.f64 -2/3 (*.f64 (neg.f64 (log.f64 N)) (pow.f64 N -3)) (+.f64 (/.f64 (neg.f64 (log.f64 N)) (*.f64 N N)) (+.f64 (/.f64 (/.f64 1 N) N) (*.f64 -2 (/.f64 (neg.f64 (log.f64 N)) N))))))
(fma.f64 -2/3 (*.f64 (neg.f64 (log.f64 N)) (pow.f64 N -3)) (+.f64 (+.f64 (/.f64 1 (*.f64 N N)) (*.f64 -2 (/.f64 (neg.f64 (log.f64 N)) N))) (/.f64 (neg.f64 (log.f64 N)) (*.f64 N N))))
(fma.f64 (*.f64 (log.f64 N) 2/3) (pow.f64 N -3) (+.f64 (/.f64 1 (*.f64 N N)) (-.f64 (/.f64 (log.f64 (*.f64 N N)) N) (/.f64 (log.f64 N) (*.f64 N N)))))
(*.f64 (*.f64 (cbrt.f64 (fma.f64 -2/3 (*.f64 (neg.f64 (log.f64 N)) (pow.f64 N -3)) (+.f64 (/.f64 (neg.f64 (log.f64 N)) (*.f64 N N)) (+.f64 (/.f64 (/.f64 1 N) N) (*.f64 -2 (/.f64 (neg.f64 (log.f64 N)) N)))))) (cbrt.f64 (fma.f64 -2/3 (*.f64 (neg.f64 (log.f64 N)) (pow.f64 N -3)) (+.f64 (/.f64 (neg.f64 (log.f64 N)) (*.f64 N N)) (+.f64 (/.f64 (/.f64 1 N) N) (*.f64 -2 (/.f64 (neg.f64 (log.f64 N)) N))))))) (cbrt.f64 (fma.f64 -2/3 (*.f64 (neg.f64 (log.f64 N)) (pow.f64 N -3)) (+.f64 (/.f64 (neg.f64 (log.f64 N)) (*.f64 N N)) (+.f64 (/.f64 (/.f64 1 N) N) (*.f64 -2 (/.f64 (neg.f64 (log.f64 N)) N)))))))
(fma.f64 -2/3 (*.f64 (neg.f64 (log.f64 N)) (pow.f64 N -3)) (+.f64 (+.f64 (/.f64 1 (*.f64 N N)) (*.f64 -2 (/.f64 (neg.f64 (log.f64 N)) N))) (/.f64 (neg.f64 (log.f64 N)) (*.f64 N N))))
(fma.f64 (*.f64 (log.f64 N) 2/3) (pow.f64 N -3) (+.f64 (/.f64 1 (*.f64 N N)) (-.f64 (/.f64 (log.f64 (*.f64 N N)) N) (/.f64 (log.f64 N) (*.f64 N N)))))
(*.f64 (sqrt.f64 (fma.f64 -2/3 (*.f64 (neg.f64 (log.f64 N)) (pow.f64 N -3)) (+.f64 (/.f64 (neg.f64 (log.f64 N)) (*.f64 N N)) (+.f64 (/.f64 (/.f64 1 N) N) (*.f64 -2 (/.f64 (neg.f64 (log.f64 N)) N)))))) (sqrt.f64 (fma.f64 -2/3 (*.f64 (neg.f64 (log.f64 N)) (pow.f64 N -3)) (+.f64 (/.f64 (neg.f64 (log.f64 N)) (*.f64 N N)) (+.f64 (/.f64 (/.f64 1 N) N) (*.f64 -2 (/.f64 (neg.f64 (log.f64 N)) N)))))))
(fma.f64 -2/3 (*.f64 (neg.f64 (log.f64 N)) (pow.f64 N -3)) (+.f64 (+.f64 (/.f64 1 (*.f64 N N)) (*.f64 -2 (/.f64 (neg.f64 (log.f64 N)) N))) (/.f64 (neg.f64 (log.f64 N)) (*.f64 N N))))
(fma.f64 (*.f64 (log.f64 N) 2/3) (pow.f64 N -3) (+.f64 (/.f64 1 (*.f64 N N)) (-.f64 (/.f64 (log.f64 (*.f64 N N)) N) (/.f64 (log.f64 N) (*.f64 N N)))))
(pow.f64 (fma.f64 -2/3 (*.f64 (neg.f64 (log.f64 N)) (pow.f64 N -3)) (+.f64 (/.f64 (neg.f64 (log.f64 N)) (*.f64 N N)) (+.f64 (/.f64 (/.f64 1 N) N) (*.f64 -2 (/.f64 (neg.f64 (log.f64 N)) N))))) 1)
(fma.f64 -2/3 (*.f64 (neg.f64 (log.f64 N)) (pow.f64 N -3)) (+.f64 (+.f64 (/.f64 1 (*.f64 N N)) (*.f64 -2 (/.f64 (neg.f64 (log.f64 N)) N))) (/.f64 (neg.f64 (log.f64 N)) (*.f64 N N))))
(fma.f64 (*.f64 (log.f64 N) 2/3) (pow.f64 N -3) (+.f64 (/.f64 1 (*.f64 N N)) (-.f64 (/.f64 (log.f64 (*.f64 N N)) N) (/.f64 (log.f64 N) (*.f64 N N)))))
(log.f64 (exp.f64 (fma.f64 -2/3 (*.f64 (neg.f64 (log.f64 N)) (pow.f64 N -3)) (+.f64 (/.f64 (neg.f64 (log.f64 N)) (*.f64 N N)) (+.f64 (/.f64 (/.f64 1 N) N) (*.f64 -2 (/.f64 (neg.f64 (log.f64 N)) N)))))))
(fma.f64 -2/3 (*.f64 (neg.f64 (log.f64 N)) (pow.f64 N -3)) (+.f64 (+.f64 (/.f64 1 (*.f64 N N)) (*.f64 -2 (/.f64 (neg.f64 (log.f64 N)) N))) (/.f64 (neg.f64 (log.f64 N)) (*.f64 N N))))
(fma.f64 (*.f64 (log.f64 N) 2/3) (pow.f64 N -3) (+.f64 (/.f64 1 (*.f64 N N)) (-.f64 (/.f64 (log.f64 (*.f64 N N)) N) (/.f64 (log.f64 N) (*.f64 N N)))))
(cbrt.f64 (*.f64 (*.f64 (fma.f64 -2/3 (*.f64 (neg.f64 (log.f64 N)) (pow.f64 N -3)) (+.f64 (/.f64 (neg.f64 (log.f64 N)) (*.f64 N N)) (+.f64 (/.f64 (/.f64 1 N) N) (*.f64 -2 (/.f64 (neg.f64 (log.f64 N)) N))))) (fma.f64 -2/3 (*.f64 (neg.f64 (log.f64 N)) (pow.f64 N -3)) (+.f64 (/.f64 (neg.f64 (log.f64 N)) (*.f64 N N)) (+.f64 (/.f64 (/.f64 1 N) N) (*.f64 -2 (/.f64 (neg.f64 (log.f64 N)) N)))))) (fma.f64 -2/3 (*.f64 (neg.f64 (log.f64 N)) (pow.f64 N -3)) (+.f64 (/.f64 (neg.f64 (log.f64 N)) (*.f64 N N)) (+.f64 (/.f64 (/.f64 1 N) N) (*.f64 -2 (/.f64 (neg.f64 (log.f64 N)) N)))))))
(fma.f64 -2/3 (*.f64 (neg.f64 (log.f64 N)) (pow.f64 N -3)) (+.f64 (+.f64 (/.f64 1 (*.f64 N N)) (*.f64 -2 (/.f64 (neg.f64 (log.f64 N)) N))) (/.f64 (neg.f64 (log.f64 N)) (*.f64 N N))))
(fma.f64 (*.f64 (log.f64 N) 2/3) (pow.f64 N -3) (+.f64 (/.f64 1 (*.f64 N N)) (-.f64 (/.f64 (log.f64 (*.f64 N N)) N) (/.f64 (log.f64 N) (*.f64 N N)))))
(expm1.f64 (log1p.f64 (fma.f64 -2/3 (*.f64 (neg.f64 (log.f64 N)) (pow.f64 N -3)) (+.f64 (/.f64 (neg.f64 (log.f64 N)) (*.f64 N N)) (+.f64 (/.f64 (/.f64 1 N) N) (*.f64 -2 (/.f64 (neg.f64 (log.f64 N)) N)))))))
(fma.f64 -2/3 (*.f64 (neg.f64 (log.f64 N)) (pow.f64 N -3)) (+.f64 (+.f64 (/.f64 1 (*.f64 N N)) (*.f64 -2 (/.f64 (neg.f64 (log.f64 N)) N))) (/.f64 (neg.f64 (log.f64 N)) (*.f64 N N))))
(fma.f64 (*.f64 (log.f64 N) 2/3) (pow.f64 N -3) (+.f64 (/.f64 1 (*.f64 N N)) (-.f64 (/.f64 (log.f64 (*.f64 N N)) N) (/.f64 (log.f64 N) (*.f64 N N)))))
(exp.f64 (log.f64 (fma.f64 -2/3 (*.f64 (neg.f64 (log.f64 N)) (pow.f64 N -3)) (+.f64 (/.f64 (neg.f64 (log.f64 N)) (*.f64 N N)) (+.f64 (/.f64 (/.f64 1 N) N) (*.f64 -2 (/.f64 (neg.f64 (log.f64 N)) N)))))))
(fma.f64 -2/3 (*.f64 (neg.f64 (log.f64 N)) (pow.f64 N -3)) (+.f64 (+.f64 (/.f64 1 (*.f64 N N)) (*.f64 -2 (/.f64 (neg.f64 (log.f64 N)) N))) (/.f64 (neg.f64 (log.f64 N)) (*.f64 N N))))
(fma.f64 (*.f64 (log.f64 N) 2/3) (pow.f64 N -3) (+.f64 (/.f64 1 (*.f64 N N)) (-.f64 (/.f64 (log.f64 (*.f64 N N)) N) (/.f64 (log.f64 N) (*.f64 N N)))))
(log1p.f64 (expm1.f64 (fma.f64 -2/3 (*.f64 (neg.f64 (log.f64 N)) (pow.f64 N -3)) (+.f64 (/.f64 (neg.f64 (log.f64 N)) (*.f64 N N)) (+.f64 (/.f64 (/.f64 1 N) N) (*.f64 -2 (/.f64 (neg.f64 (log.f64 N)) N)))))))
(fma.f64 -2/3 (*.f64 (neg.f64 (log.f64 N)) (pow.f64 N -3)) (+.f64 (+.f64 (/.f64 1 (*.f64 N N)) (*.f64 -2 (/.f64 (neg.f64 (log.f64 N)) N))) (/.f64 (neg.f64 (log.f64 N)) (*.f64 N N))))
(fma.f64 (*.f64 (log.f64 N) 2/3) (pow.f64 N -3) (+.f64 (/.f64 1 (*.f64 N N)) (-.f64 (/.f64 (log.f64 (*.f64 N N)) N) (/.f64 (log.f64 N) (*.f64 N N)))))
(*.f64 1 (/.f64 (neg.f64 (log.f64 N)) (*.f64 N N)))
(/.f64 (neg.f64 (log.f64 N)) (*.f64 N N))
(neg.f64 (/.f64 (log.f64 N) (*.f64 N N)))
(*.f64 (neg.f64 (log.f64 N)) (/.f64 (/.f64 1 N) N))
(/.f64 (neg.f64 (log.f64 N)) (*.f64 N N))
(neg.f64 (/.f64 (log.f64 N) (*.f64 N N)))
(*.f64 (*.f64 (cbrt.f64 (/.f64 (neg.f64 (log.f64 N)) (*.f64 N N))) (cbrt.f64 (/.f64 (neg.f64 (log.f64 N)) (*.f64 N N)))) (cbrt.f64 (/.f64 (neg.f64 (log.f64 N)) (*.f64 N N))))
(/.f64 (neg.f64 (log.f64 N)) (*.f64 N N))
(neg.f64 (/.f64 (log.f64 N) (*.f64 N N)))
(*.f64 (sqrt.f64 (/.f64 (neg.f64 (log.f64 N)) (*.f64 N N))) (sqrt.f64 (/.f64 (neg.f64 (log.f64 N)) (*.f64 N N))))
(/.f64 (neg.f64 (log.f64 N)) (*.f64 N N))
(neg.f64 (/.f64 (log.f64 N) (*.f64 N N)))
(pow.f64 (/.f64 (neg.f64 (log.f64 N)) (*.f64 N N)) 1)
(/.f64 (neg.f64 (log.f64 N)) (*.f64 N N))
(neg.f64 (/.f64 (log.f64 N) (*.f64 N N)))
(neg.f64 (/.f64 (log.f64 N) (*.f64 N N)))
(/.f64 (neg.f64 (log.f64 N)) (*.f64 N N))
(log.f64 (exp.f64 (/.f64 (neg.f64 (log.f64 N)) (*.f64 N N))))
(/.f64 (neg.f64 (log.f64 N)) (*.f64 N N))
(neg.f64 (/.f64 (log.f64 N) (*.f64 N N)))
(cbrt.f64 (*.f64 (*.f64 (/.f64 (neg.f64 (log.f64 N)) (*.f64 N N)) (/.f64 (neg.f64 (log.f64 N)) (*.f64 N N))) (/.f64 (neg.f64 (log.f64 N)) (*.f64 N N))))
(cbrt.f64 (*.f64 (/.f64 (neg.f64 (log.f64 N)) (*.f64 N N)) (*.f64 (/.f64 (neg.f64 (log.f64 N)) (*.f64 N N)) (/.f64 (neg.f64 (log.f64 N)) (*.f64 N N)))))
(cbrt.f64 (pow.f64 (neg.f64 (/.f64 (log.f64 N) (*.f64 N N))) 3))
(expm1.f64 (log1p.f64 (/.f64 (neg.f64 (log.f64 N)) (*.f64 N N))))
(/.f64 (neg.f64 (log.f64 N)) (*.f64 N N))
(neg.f64 (/.f64 (log.f64 N) (*.f64 N N)))
(exp.f64 (log.f64 (/.f64 (neg.f64 (log.f64 N)) (*.f64 N N))))
(/.f64 (neg.f64 (log.f64 N)) (*.f64 N N))
(neg.f64 (/.f64 (log.f64 N) (*.f64 N N)))
(log1p.f64 (expm1.f64 (/.f64 (neg.f64 (log.f64 N)) (*.f64 N N))))
(/.f64 (neg.f64 (log.f64 N)) (*.f64 N N))
(neg.f64 (/.f64 (log.f64 N) (*.f64 N N)))

eval458.0ms (4.9%)

Compiler

Compiled 23358 to 14174 computations (39.3% saved)

prune135.0ms (1.5%)

Pruning

19 alts after pruning (11 fresh and 8 done)

PrunedKeptTotal
New5149523
Fresh123
Picked145
Done044
Total51619535
Accurracy
100.0%
Counts
535 → 19
Alt Table
Click to see full alt table
StatusAccuracyProgram
49.0%
(/.f64 (/.f64 (-.f64 (pow.f64 (log1p.f64 N) 4) (*.f64 (neg.f64 (pow.f64 (log.f64 N) 2)) (neg.f64 (pow.f64 (log.f64 N) 2)))) (-.f64 (pow.f64 (log1p.f64 N) 2) (neg.f64 (pow.f64 (log.f64 N) 2)))) (+.f64 (log1p.f64 N) (log.f64 N)))
6.1%
(/.f64 (-.f64 (fma.f64 1/2 (/.f64 (neg.f64 (log.f64 N)) (pow.f64 N 4)) (log.f64 (exp.f64 (+.f64 (fma.f64 -2/3 (*.f64 (neg.f64 (log.f64 N)) (pow.f64 N -3)) (+.f64 (/.f64 (neg.f64 (log.f64 N)) (*.f64 N N)) (+.f64 (/.f64 (/.f64 1 N) N) (*.f64 -2 (/.f64 (neg.f64 (log.f64 N)) N))))) (/.f64 11/12 (pow.f64 N 4)))))) (/.f64 1 (pow.f64 N 3))) (+.f64 (log1p.f64 N) (log.f64 N)))
30.9%
(/.f64 (-.f64 (*.f64 (+.f64 (/.f64 1 N) (*.f64 1/3 (pow.f64 N -3))) (+.f64 (/.f64 1 N) (*.f64 1/3 (pow.f64 N -3)))) (*.f64 (+.f64 (/.f64 1/2 (*.f64 N N)) (/.f64 1/4 (pow.f64 N 4))) (+.f64 (/.f64 1/2 (*.f64 N N)) (/.f64 1/4 (pow.f64 N 4))))) (+.f64 (/.f64 1 N) (+.f64 (*.f64 1/3 (pow.f64 N -3)) (+.f64 (/.f64 1/2 (*.f64 N N)) (/.f64 1/4 (pow.f64 N 4))))))
29.6%
(/.f64 (-.f64 N (*.f64 N (/.f64 1/2 N))) (*.f64 N N))
55.9%
(/.f64 (-.f64 1 (/.f64 1/2 N)) N)
48.4%
(/.f64 (+.f64 (-.f64 (pow.f64 (log1p.f64 N) 2) (pow.f64 (log.f64 N) 2)) (fma.f64 (neg.f64 (log.f64 N)) (log.f64 N) (pow.f64 (log.f64 N) 2))) (+.f64 (log1p.f64 N) (log.f64 N)))
28.6%
(/.f64 (+.f64 (*.f64 -1/2 (/.f64 (log.f64 N) (pow.f64 N 4))) (+.f64 (/.f64 11/12 (pow.f64 N 4)) (+.f64 (+.f64 (/.f64 1 (*.f64 N N)) (-.f64 (/.f64 (log.f64 (*.f64 N N)) N) (/.f64 (log.f64 N) (*.f64 N N)))) (/.f64 (fma.f64 (neg.f64 (log.f64 N)) -2/3 -1) (pow.f64 N 3))))) (+.f64 (log1p.f64 N) (log.f64 N)))
30.4%
(/.f64 (*.f64 (+.f64 (/.f64 1 N) (/.f64 1/2 (*.f64 N N))) (/.f64 (-.f64 1 (/.f64 1/2 N)) N)) (+.f64 (/.f64 1 N) (/.f64 1/2 (*.f64 N N))))
51.4%
(/.f64 (exp.f64 (log.f64 (-.f64 (fma.f64 1/2 (/.f64 (neg.f64 (log.f64 N)) (pow.f64 N 4)) (+.f64 (fma.f64 -2/3 (*.f64 (neg.f64 (log.f64 N)) (pow.f64 N -3)) (+.f64 (/.f64 (neg.f64 (log.f64 N)) (*.f64 N N)) (+.f64 (/.f64 (/.f64 1 N) N) (*.f64 -2 (/.f64 (neg.f64 (log.f64 N)) N))))) (/.f64 11/12 (pow.f64 N 4)))) (pow.f64 N -3)))) (+.f64 (log1p.f64 N) (log.f64 N)))
56.7%
(/.f64 1 N)
55.9%
(-.f64 (/.f64 1 N) (/.f64 (/.f64 1/2 N) N))
56.3%
(-.f64 (+.f64 (/.f64 1 N) (/.f64 1/3 (pow.f64 N 3))) (+.f64 (/.f64 1/2 (*.f64 N N)) (/.f64 1/4 (pow.f64 N 4))))
45.5%
(-.f64 N (log.f64 N))
57.0%
(+.f64 (/.f64 1 N) (-.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 1/2 (*.f64 N N))))
57.0%
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 (+.f64 1 (/.f64 -1/2 N)) N))
56.3%
(+.f64 (+.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 (+.f64 1 (/.f64 -1/2 N)) N)) (/.f64 -1/4 (pow.f64 N 4)))
49.7%
(neg.f64 (log.f64 (/.f64 N (+.f64 N 1))))
44.1%
(neg.f64 (log.f64 N))
49.6%
(log.f64 (/.f64 (+.f64 N 1) N))
49.0%
(/.f64 (/.f64 (-.f64 (pow.f64 (log1p.f64 N) 4) (*.f64 (neg.f64 (pow.f64 (log.f64 N) 2)) (neg.f64 (pow.f64 (log.f64 N) 2)))) (-.f64 (pow.f64 (log1p.f64 N) 2) (neg.f64 (pow.f64 (log.f64 N) 2)))) (+.f64 (log1p.f64 N) (log.f64 N)))
6.1%
(/.f64 (-.f64 (fma.f64 1/2 (/.f64 (neg.f64 (log.f64 N)) (pow.f64 N 4)) (log.f64 (exp.f64 (+.f64 (fma.f64 -2/3 (*.f64 (neg.f64 (log.f64 N)) (pow.f64 N -3)) (+.f64 (/.f64 (neg.f64 (log.f64 N)) (*.f64 N N)) (+.f64 (/.f64 (/.f64 1 N) N) (*.f64 -2 (/.f64 (neg.f64 (log.f64 N)) N))))) (/.f64 11/12 (pow.f64 N 4)))))) (/.f64 1 (pow.f64 N 3))) (+.f64 (log1p.f64 N) (log.f64 N)))
30.9%
(/.f64 (-.f64 (*.f64 (+.f64 (/.f64 1 N) (*.f64 1/3 (pow.f64 N -3))) (+.f64 (/.f64 1 N) (*.f64 1/3 (pow.f64 N -3)))) (*.f64 (+.f64 (/.f64 1/2 (*.f64 N N)) (/.f64 1/4 (pow.f64 N 4))) (+.f64 (/.f64 1/2 (*.f64 N N)) (/.f64 1/4 (pow.f64 N 4))))) (+.f64 (/.f64 1 N) (+.f64 (*.f64 1/3 (pow.f64 N -3)) (+.f64 (/.f64 1/2 (*.f64 N N)) (/.f64 1/4 (pow.f64 N 4))))))
29.6%
(/.f64 (-.f64 N (*.f64 N (/.f64 1/2 N))) (*.f64 N N))
55.9%
(/.f64 (-.f64 1 (/.f64 1/2 N)) N)
48.4%
(/.f64 (+.f64 (-.f64 (pow.f64 (log1p.f64 N) 2) (pow.f64 (log.f64 N) 2)) (fma.f64 (neg.f64 (log.f64 N)) (log.f64 N) (pow.f64 (log.f64 N) 2))) (+.f64 (log1p.f64 N) (log.f64 N)))
28.6%
(/.f64 (+.f64 (*.f64 -1/2 (/.f64 (log.f64 N) (pow.f64 N 4))) (+.f64 (/.f64 11/12 (pow.f64 N 4)) (+.f64 (+.f64 (/.f64 1 (*.f64 N N)) (-.f64 (/.f64 (log.f64 (*.f64 N N)) N) (/.f64 (log.f64 N) (*.f64 N N)))) (/.f64 (fma.f64 (neg.f64 (log.f64 N)) -2/3 -1) (pow.f64 N 3))))) (+.f64 (log1p.f64 N) (log.f64 N)))
30.4%
(/.f64 (*.f64 (+.f64 (/.f64 1 N) (/.f64 1/2 (*.f64 N N))) (/.f64 (-.f64 1 (/.f64 1/2 N)) N)) (+.f64 (/.f64 1 N) (/.f64 1/2 (*.f64 N N))))
51.4%
(/.f64 (exp.f64 (log.f64 (-.f64 (fma.f64 1/2 (/.f64 (neg.f64 (log.f64 N)) (pow.f64 N 4)) (+.f64 (fma.f64 -2/3 (*.f64 (neg.f64 (log.f64 N)) (pow.f64 N -3)) (+.f64 (/.f64 (neg.f64 (log.f64 N)) (*.f64 N N)) (+.f64 (/.f64 (/.f64 1 N) N) (*.f64 -2 (/.f64 (neg.f64 (log.f64 N)) N))))) (/.f64 11/12 (pow.f64 N 4)))) (pow.f64 N -3)))) (+.f64 (log1p.f64 N) (log.f64 N)))
56.7%
(/.f64 1 N)
55.9%
(-.f64 (/.f64 1 N) (/.f64 (/.f64 1/2 N) N))
56.3%
(-.f64 (+.f64 (/.f64 1 N) (/.f64 1/3 (pow.f64 N 3))) (+.f64 (/.f64 1/2 (*.f64 N N)) (/.f64 1/4 (pow.f64 N 4))))
45.5%
(-.f64 N (log.f64 N))
57.0%
(+.f64 (/.f64 1 N) (-.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 1/2 (*.f64 N N))))
57.0%
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 (+.f64 1 (/.f64 -1/2 N)) N))
56.3%
(+.f64 (+.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 (+.f64 1 (/.f64 -1/2 N)) N)) (/.f64 -1/4 (pow.f64 N 4)))
49.7%
(neg.f64 (log.f64 (/.f64 N (+.f64 N 1))))
44.1%
(neg.f64 (log.f64 N))
49.6%
(log.f64 (/.f64 (+.f64 N 1) N))
Compiler

Compiled 1624 to 1092 computations (32.8% saved)

localize748.0ms (8%)

Local Accuracy

Found 16 expressions with local accuracy:

NewAccuracyProgram
98.9%
(/.f64 (log.f64 N) (*.f64 N N))
77.3%
(+.f64 (+.f64 (/.f64 1 (*.f64 N N)) (-.f64 (/.f64 (log.f64 (*.f64 N N)) N) (/.f64 (log.f64 N) (*.f64 N N)))) (/.f64 (fma.f64 (neg.f64 (log.f64 N)) -2/3 -1) (pow.f64 N 3)))
76.3%
(+.f64 (/.f64 11/12 (pow.f64 N 4)) (+.f64 (+.f64 (/.f64 1 (*.f64 N N)) (-.f64 (/.f64 (log.f64 (*.f64 N N)) N) (/.f64 (log.f64 N) (*.f64 N N)))) (/.f64 (fma.f64 (neg.f64 (log.f64 N)) -2/3 -1) (pow.f64 N 3))))
51.2%
(log.f64 (*.f64 N N))
99.7%
(/.f64 -1/4 (pow.f64 N 4))
99.6%
(/.f64 1/3 (pow.f64 N 3))
81.9%
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 (+.f64 1 (/.f64 -1/2 N)) N))
71.1%
(+.f64 (+.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 (+.f64 1 (/.f64 -1/2 N)) N)) (/.f64 -1/4 (pow.f64 N 4)))
99.9%
(/.f64 (-.f64 1 (/.f64 1/2 N)) N)
99.8%
(*.f64 (+.f64 (/.f64 1 N) (/.f64 1/2 (*.f64 N N))) (/.f64 (-.f64 1 (/.f64 1/2 N)) N))
99.2%
(/.f64 1/2 (*.f64 N N))
42.3%
(/.f64 (*.f64 (+.f64 (/.f64 1 N) (/.f64 1/2 (*.f64 N N))) (/.f64 (-.f64 1 (/.f64 1/2 N)) N)) (+.f64 (/.f64 1 N) (/.f64 1/2 (*.f64 N N))))
99.9%
(/.f64 (-.f64 1 (/.f64 1/2 N)) N)
99.9%
(/.f64 (+.f64 1 (/.f64 -1/2 N)) N)
99.6%
(/.f64 1/3 (pow.f64 N 3))
81.9%
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 (+.f64 1 (/.f64 -1/2 N)) N))
Compiler

Compiled 492 to 264 computations (46.3% saved)

series25.0ms (0.3%)

Counts
13 → 144
Calls

39 calls:

TimeVariablePointExpression
9.0ms
N
@0
(log.f64 (*.f64 N N))
6.0ms
N
@inf
(log.f64 (*.f64 N N))
1.0ms
N
@-inf
(+.f64 (/.f64 11/12 (pow.f64 N 4)) (+.f64 (+.f64 (/.f64 1 (*.f64 N N)) (-.f64 (/.f64 (log.f64 (*.f64 N N)) N) (/.f64 (log.f64 N) (*.f64 N N)))) (/.f64 (fma.f64 (neg.f64 (log.f64 N)) -2/3 -1) (pow.f64 N 3))))
1.0ms
N
@-inf
(*.f64 (+.f64 (/.f64 1 N) (/.f64 1/2 (*.f64 N N))) (/.f64 (-.f64 1 (/.f64 1/2 N)) N))
1.0ms
N
@0
(+.f64 (/.f64 11/12 (pow.f64 N 4)) (+.f64 (+.f64 (/.f64 1 (*.f64 N N)) (-.f64 (/.f64 (log.f64 (*.f64 N N)) N) (/.f64 (log.f64 N) (*.f64 N N)))) (/.f64 (fma.f64 (neg.f64 (log.f64 N)) -2/3 -1) (pow.f64 N 3))))

rewrite113.0ms (1.2%)

Algorithm
batch-egg-rewrite
Rules
1056×pow1
1030×add-exp-log
1026×add-log-exp
1024×add-cbrt-cube
1024×log1p-expm1-u
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
046555
11101555
Stop Event
node limit
Counts
13 → 135
Calls
Call 1
Inputs
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 (+.f64 1 (/.f64 -1/2 N)) N))
(/.f64 (+.f64 1 (/.f64 -1/2 N)) N)
(/.f64 (-.f64 1 (/.f64 1/2 N)) N)
(/.f64 (*.f64 (+.f64 (/.f64 1 N) (/.f64 1/2 (*.f64 N N))) (/.f64 (-.f64 1 (/.f64 1/2 N)) N)) (+.f64 (/.f64 1 N) (/.f64 1/2 (*.f64 N N))))
(*.f64 (+.f64 (/.f64 1 N) (/.f64 1/2 (*.f64 N N))) (/.f64 (-.f64 1 (/.f64 1/2 N)) N))
(/.f64 (-.f64 1 (/.f64 1/2 N)) N)
(+.f64 (+.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 (+.f64 1 (/.f64 -1/2 N)) N)) (/.f64 -1/4 (pow.f64 N 4)))
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 (+.f64 1 (/.f64 -1/2 N)) N))
(/.f64 -1/4 (pow.f64 N 4))
(log.f64 (*.f64 N N))
(+.f64 (/.f64 11/12 (pow.f64 N 4)) (+.f64 (+.f64 (/.f64 1 (*.f64 N N)) (-.f64 (/.f64 (log.f64 (*.f64 N N)) N) (/.f64 (log.f64 N) (*.f64 N N)))) (/.f64 (fma.f64 (neg.f64 (log.f64 N)) -2/3 -1) (pow.f64 N 3))))
(+.f64 (+.f64 (/.f64 1 (*.f64 N N)) (-.f64 (/.f64 (log.f64 (*.f64 N N)) N) (/.f64 (log.f64 N) (*.f64 N N)))) (/.f64 (fma.f64 (neg.f64 (log.f64 N)) -2/3 -1) (pow.f64 N 3)))
(/.f64 (log.f64 N) (*.f64 N N))
Outputs
(*.f64 1 (+.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 (+.f64 1 (/.f64 -1/2 N)) N)))
(*.f64 (*.f64 (cbrt.f64 (+.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 (+.f64 1 (/.f64 -1/2 N)) N))) (cbrt.f64 (+.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 (+.f64 1 (/.f64 -1/2 N)) N)))) (cbrt.f64 (+.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 (+.f64 1 (/.f64 -1/2 N)) N))))
(*.f64 (sqrt.f64 (+.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 (+.f64 1 (/.f64 -1/2 N)) N))) (sqrt.f64 (+.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 (+.f64 1 (/.f64 -1/2 N)) N))))
(/.f64 (+.f64 (*.f64 1/3 N) (*.f64 (pow.f64 N 3) (+.f64 1 (/.f64 -1/2 N)))) (*.f64 (pow.f64 N 3) N))
(/.f64 (+.f64 (pow.f64 (/.f64 1/3 (pow.f64 N 3)) 3) (pow.f64 (/.f64 (+.f64 1 (/.f64 -1/2 N)) N) 3)) (+.f64 (*.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 1/3 (pow.f64 N 3))) (-.f64 (*.f64 (/.f64 (+.f64 1 (/.f64 -1/2 N)) N) (/.f64 (+.f64 1 (/.f64 -1/2 N)) N)) (*.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 (+.f64 1 (/.f64 -1/2 N)) N)))))
(/.f64 (-.f64 (*.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 1/3 (pow.f64 N 3))) (*.f64 (/.f64 (+.f64 1 (/.f64 -1/2 N)) N) (/.f64 (+.f64 1 (/.f64 -1/2 N)) N))) (-.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 (+.f64 1 (/.f64 -1/2 N)) N)))
(pow.f64 (+.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 (+.f64 1 (/.f64 -1/2 N)) N)) 1)
(log.f64 (exp.f64 (+.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 (+.f64 1 (/.f64 -1/2 N)) N))))
(cbrt.f64 (*.f64 (*.f64 (+.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 (+.f64 1 (/.f64 -1/2 N)) N)) (+.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 (+.f64 1 (/.f64 -1/2 N)) N))) (+.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 (+.f64 1 (/.f64 -1/2 N)) N))))
(expm1.f64 (log1p.f64 (+.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 (+.f64 1 (/.f64 -1/2 N)) N))))
(exp.f64 (log.f64 (+.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 (+.f64 1 (/.f64 -1/2 N)) N))))
(log1p.f64 (expm1.f64 (+.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 (+.f64 1 (/.f64 -1/2 N)) N))))
(*.f64 1 (/.f64 (+.f64 1 (/.f64 -1/2 N)) N))
(*.f64 (+.f64 1 (/.f64 -1/2 N)) (/.f64 1 N))
(*.f64 (*.f64 (cbrt.f64 (/.f64 (+.f64 1 (/.f64 -1/2 N)) N)) (cbrt.f64 (/.f64 (+.f64 1 (/.f64 -1/2 N)) N))) (cbrt.f64 (/.f64 (+.f64 1 (/.f64 -1/2 N)) N)))
(*.f64 (sqrt.f64 (/.f64 (+.f64 1 (/.f64 -1/2 N)) N)) (sqrt.f64 (/.f64 (+.f64 1 (/.f64 -1/2 N)) N)))
(pow.f64 (/.f64 (+.f64 1 (/.f64 -1/2 N)) N) 1)
(log.f64 (exp.f64 (/.f64 (+.f64 1 (/.f64 -1/2 N)) N)))
(cbrt.f64 (*.f64 (*.f64 (/.f64 (+.f64 1 (/.f64 -1/2 N)) N) (/.f64 (+.f64 1 (/.f64 -1/2 N)) N)) (/.f64 (+.f64 1 (/.f64 -1/2 N)) N)))
(expm1.f64 (log1p.f64 (/.f64 (+.f64 1 (/.f64 -1/2 N)) N)))
(exp.f64 (log.f64 (/.f64 (+.f64 1 (/.f64 -1/2 N)) N)))
(log1p.f64 (expm1.f64 (/.f64 (+.f64 1 (/.f64 -1/2 N)) N)))
(-.f64 (/.f64 1 N) (/.f64 1/2 (*.f64 N N)))
(*.f64 1 (/.f64 (-.f64 1 (/.f64 1/2 N)) N))
(*.f64 (-.f64 1 (/.f64 1/2 N)) (/.f64 1 N))
(*.f64 (*.f64 (cbrt.f64 (/.f64 (-.f64 1 (/.f64 1/2 N)) N)) (cbrt.f64 (/.f64 (-.f64 1 (/.f64 1/2 N)) N))) (cbrt.f64 (/.f64 (-.f64 1 (/.f64 1/2 N)) N)))
(*.f64 (sqrt.f64 (/.f64 (-.f64 1 (/.f64 1/2 N)) N)) (sqrt.f64 (/.f64 (-.f64 1 (/.f64 1/2 N)) N)))
(pow.f64 (/.f64 (-.f64 1 (/.f64 1/2 N)) N) 1)
(log.f64 (exp.f64 (/.f64 (-.f64 1 (/.f64 1/2 N)) N)))
(cbrt.f64 (*.f64 (*.f64 (/.f64 (-.f64 1 (/.f64 1/2 N)) N) (/.f64 (-.f64 1 (/.f64 1/2 N)) N)) (/.f64 (-.f64 1 (/.f64 1/2 N)) N)))
(expm1.f64 (log1p.f64 (/.f64 (-.f64 1 (/.f64 1/2 N)) N)))
(exp.f64 (log.f64 (/.f64 (-.f64 1 (/.f64 1/2 N)) N)))
(log1p.f64 (expm1.f64 (/.f64 (-.f64 1 (/.f64 1/2 N)) N)))
(*.f64 1 (/.f64 (*.f64 (/.f64 (-.f64 1 (/.f64 1/2 N)) N) (+.f64 (/.f64 1 N) (/.f64 1/2 (*.f64 N N)))) (+.f64 (/.f64 1 N) (/.f64 1/2 (*.f64 N N)))))
(*.f64 (*.f64 (/.f64 (-.f64 1 (/.f64 1/2 N)) N) (+.f64 (/.f64 1 N) (/.f64 1/2 (*.f64 N N)))) (/.f64 1 (+.f64 (/.f64 1 N) (/.f64 1/2 (*.f64 N N)))))
(*.f64 (*.f64 (cbrt.f64 (/.f64 (*.f64 (/.f64 (-.f64 1 (/.f64 1/2 N)) N) (+.f64 (/.f64 1 N) (/.f64 1/2 (*.f64 N N)))) (+.f64 (/.f64 1 N) (/.f64 1/2 (*.f64 N N))))) (cbrt.f64 (/.f64 (*.f64 (/.f64 (-.f64 1 (/.f64 1/2 N)) N) (+.f64 (/.f64 1 N) (/.f64 1/2 (*.f64 N N)))) (+.f64 (/.f64 1 N) (/.f64 1/2 (*.f64 N N)))))) (cbrt.f64 (/.f64 (*.f64 (/.f64 (-.f64 1 (/.f64 1/2 N)) N) (+.f64 (/.f64 1 N) (/.f64 1/2 (*.f64 N N)))) (+.f64 (/.f64 1 N) (/.f64 1/2 (*.f64 N N))))))
(*.f64 (sqrt.f64 (/.f64 (*.f64 (/.f64 (-.f64 1 (/.f64 1/2 N)) N) (+.f64 (/.f64 1 N) (/.f64 1/2 (*.f64 N N)))) (+.f64 (/.f64 1 N) (/.f64 1/2 (*.f64 N N))))) (sqrt.f64 (/.f64 (*.f64 (/.f64 (-.f64 1 (/.f64 1/2 N)) N) (+.f64 (/.f64 1 N) (/.f64 1/2 (*.f64 N N)))) (+.f64 (/.f64 1 N) (/.f64 1/2 (*.f64 N N))))))
(pow.f64 (/.f64 (*.f64 (/.f64 (-.f64 1 (/.f64 1/2 N)) N) (+.f64 (/.f64 1 N) (/.f64 1/2 (*.f64 N N)))) (+.f64 (/.f64 1 N) (/.f64 1/2 (*.f64 N N)))) 1)
(log.f64 (exp.f64 (/.f64 (*.f64 (/.f64 (-.f64 1 (/.f64 1/2 N)) N) (+.f64 (/.f64 1 N) (/.f64 1/2 (*.f64 N N)))) (+.f64 (/.f64 1 N) (/.f64 1/2 (*.f64 N N))))))
(cbrt.f64 (*.f64 (*.f64 (/.f64 (*.f64 (/.f64 (-.f64 1 (/.f64 1/2 N)) N) (+.f64 (/.f64 1 N) (/.f64 1/2 (*.f64 N N)))) (+.f64 (/.f64 1 N) (/.f64 1/2 (*.f64 N N)))) (/.f64 (*.f64 (/.f64 (-.f64 1 (/.f64 1/2 N)) N) (+.f64 (/.f64 1 N) (/.f64 1/2 (*.f64 N N)))) (+.f64 (/.f64 1 N) (/.f64 1/2 (*.f64 N N))))) (/.f64 (*.f64 (/.f64 (-.f64 1 (/.f64 1/2 N)) N) (+.f64 (/.f64 1 N) (/.f64 1/2 (*.f64 N N)))) (+.f64 (/.f64 1 N) (/.f64 1/2 (*.f64 N N))))))
(expm1.f64 (log1p.f64 (/.f64 (*.f64 (/.f64 (-.f64 1 (/.f64 1/2 N)) N) (+.f64 (/.f64 1 N) (/.f64 1/2 (*.f64 N N)))) (+.f64 (/.f64 1 N) (/.f64 1/2 (*.f64 N N))))))
(exp.f64 (log.f64 (/.f64 (*.f64 (/.f64 (-.f64 1 (/.f64 1/2 N)) N) (+.f64 (/.f64 1 N) (/.f64 1/2 (*.f64 N N)))) (+.f64 (/.f64 1 N) (/.f64 1/2 (*.f64 N N))))))
(log1p.f64 (expm1.f64 (/.f64 (*.f64 (/.f64 (-.f64 1 (/.f64 1/2 N)) N) (+.f64 (/.f64 1 N) (/.f64 1/2 (*.f64 N N)))) (+.f64 (/.f64 1 N) (/.f64 1/2 (*.f64 N N))))))
(/.f64 (*.f64 (+.f64 (/.f64 1 N) (/.f64 1/2 (*.f64 N N))) (-.f64 1 (/.f64 1/2 N))) N)
(pow.f64 (*.f64 (/.f64 (-.f64 1 (/.f64 1/2 N)) N) (+.f64 (/.f64 1 N) (/.f64 1/2 (*.f64 N N)))) 1)
(log.f64 (exp.f64 (*.f64 (/.f64 (-.f64 1 (/.f64 1/2 N)) N) (+.f64 (/.f64 1 N) (/.f64 1/2 (*.f64 N N))))))
(cbrt.f64 (*.f64 (*.f64 (*.f64 (/.f64 (-.f64 1 (/.f64 1/2 N)) N) (+.f64 (/.f64 1 N) (/.f64 1/2 (*.f64 N N)))) (*.f64 (/.f64 (-.f64 1 (/.f64 1/2 N)) N) (+.f64 (/.f64 1 N) (/.f64 1/2 (*.f64 N N))))) (*.f64 (/.f64 (-.f64 1 (/.f64 1/2 N)) N) (+.f64 (/.f64 1 N) (/.f64 1/2 (*.f64 N N))))))
(expm1.f64 (log1p.f64 (*.f64 (/.f64 (-.f64 1 (/.f64 1/2 N)) N) (+.f64 (/.f64 1 N) (/.f64 1/2 (*.f64 N N))))))
(exp.f64 (log.f64 (*.f64 (/.f64 (-.f64 1 (/.f64 1/2 N)) N) (+.f64 (/.f64 1 N) (/.f64 1/2 (*.f64 N N))))))
(log1p.f64 (expm1.f64 (*.f64 (/.f64 (-.f64 1 (/.f64 1/2 N)) N) (+.f64 (/.f64 1 N) (/.f64 1/2 (*.f64 N N))))))
(-.f64 (/.f64 1 N) (/.f64 1/2 (*.f64 N N)))
(*.f64 1 (/.f64 (-.f64 1 (/.f64 1/2 N)) N))
(*.f64 (-.f64 1 (/.f64 1/2 N)) (/.f64 1 N))
(*.f64 (*.f64 (cbrt.f64 (/.f64 (-.f64 1 (/.f64 1/2 N)) N)) (cbrt.f64 (/.f64 (-.f64 1 (/.f64 1/2 N)) N))) (cbrt.f64 (/.f64 (-.f64 1 (/.f64 1/2 N)) N)))
(*.f64 (sqrt.f64 (/.f64 (-.f64 1 (/.f64 1/2 N)) N)) (sqrt.f64 (/.f64 (-.f64 1 (/.f64 1/2 N)) N)))
(pow.f64 (/.f64 (-.f64 1 (/.f64 1/2 N)) N) 1)
(log.f64 (exp.f64 (/.f64 (-.f64 1 (/.f64 1/2 N)) N)))
(cbrt.f64 (*.f64 (*.f64 (/.f64 (-.f64 1 (/.f64 1/2 N)) N) (/.f64 (-.f64 1 (/.f64 1/2 N)) N)) (/.f64 (-.f64 1 (/.f64 1/2 N)) N)))
(expm1.f64 (log1p.f64 (/.f64 (-.f64 1 (/.f64 1/2 N)) N)))
(exp.f64 (log.f64 (/.f64 (-.f64 1 (/.f64 1/2 N)) N)))
(log1p.f64 (expm1.f64 (/.f64 (-.f64 1 (/.f64 1/2 N)) N)))
(*.f64 1 (+.f64 (/.f64 1/3 (pow.f64 N 3)) (+.f64 (/.f64 (+.f64 1 (/.f64 -1/2 N)) N) (/.f64 -1/4 (pow.f64 N 4)))))
(*.f64 (*.f64 (cbrt.f64 (+.f64 (/.f64 1/3 (pow.f64 N 3)) (+.f64 (/.f64 (+.f64 1 (/.f64 -1/2 N)) N) (/.f64 -1/4 (pow.f64 N 4))))) (cbrt.f64 (+.f64 (/.f64 1/3 (pow.f64 N 3)) (+.f64 (/.f64 (+.f64 1 (/.f64 -1/2 N)) N) (/.f64 -1/4 (pow.f64 N 4)))))) (cbrt.f64 (+.f64 (/.f64 1/3 (pow.f64 N 3)) (+.f64 (/.f64 (+.f64 1 (/.f64 -1/2 N)) N) (/.f64 -1/4 (pow.f64 N 4))))))
(*.f64 (sqrt.f64 (+.f64 (/.f64 1/3 (pow.f64 N 3)) (+.f64 (/.f64 (+.f64 1 (/.f64 -1/2 N)) N) (/.f64 -1/4 (pow.f64 N 4))))) (sqrt.f64 (+.f64 (/.f64 1/3 (pow.f64 N 3)) (+.f64 (/.f64 (+.f64 1 (/.f64 -1/2 N)) N) (/.f64 -1/4 (pow.f64 N 4))))))
(/.f64 (+.f64 (pow.f64 (+.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 (+.f64 1 (/.f64 -1/2 N)) N)) 3) (pow.f64 (/.f64 -1/4 (pow.f64 N 4)) 3)) (+.f64 (*.f64 (+.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 (+.f64 1 (/.f64 -1/2 N)) N)) (+.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 (+.f64 1 (/.f64 -1/2 N)) N))) (-.f64 (*.f64 (/.f64 -1/4 (pow.f64 N 4)) (/.f64 -1/4 (pow.f64 N 4))) (*.f64 (+.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 (+.f64 1 (/.f64 -1/2 N)) N)) (/.f64 -1/4 (pow.f64 N 4))))))
(/.f64 (-.f64 (*.f64 (+.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 (+.f64 1 (/.f64 -1/2 N)) N)) (+.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 (+.f64 1 (/.f64 -1/2 N)) N))) (*.f64 (/.f64 -1/4 (pow.f64 N 4)) (/.f64 -1/4 (pow.f64 N 4)))) (-.f64 (+.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 (+.f64 1 (/.f64 -1/2 N)) N)) (/.f64 -1/4 (pow.f64 N 4))))
(pow.f64 (+.f64 (/.f64 1/3 (pow.f64 N 3)) (+.f64 (/.f64 (+.f64 1 (/.f64 -1/2 N)) N) (/.f64 -1/4 (pow.f64 N 4)))) 1)
(log.f64 (exp.f64 (+.f64 (/.f64 1/3 (pow.f64 N 3)) (+.f64 (/.f64 (+.f64 1 (/.f64 -1/2 N)) N) (/.f64 -1/4 (pow.f64 N 4))))))
(cbrt.f64 (*.f64 (*.f64 (+.f64 (/.f64 1/3 (pow.f64 N 3)) (+.f64 (/.f64 (+.f64 1 (/.f64 -1/2 N)) N) (/.f64 -1/4 (pow.f64 N 4)))) (+.f64 (/.f64 1/3 (pow.f64 N 3)) (+.f64 (/.f64 (+.f64 1 (/.f64 -1/2 N)) N) (/.f64 -1/4 (pow.f64 N 4))))) (+.f64 (/.f64 1/3 (pow.f64 N 3)) (+.f64 (/.f64 (+.f64 1 (/.f64 -1/2 N)) N) (/.f64 -1/4 (pow.f64 N 4))))))
(expm1.f64 (log1p.f64 (+.f64 (/.f64 1/3 (pow.f64 N 3)) (+.f64 (/.f64 (+.f64 1 (/.f64 -1/2 N)) N) (/.f64 -1/4 (pow.f64 N 4))))))
(exp.f64 (log.f64 (+.f64 (/.f64 1/3 (pow.f64 N 3)) (+.f64 (/.f64 (+.f64 1 (/.f64 -1/2 N)) N) (/.f64 -1/4 (pow.f64 N 4))))))
(log1p.f64 (expm1.f64 (+.f64 (/.f64 1/3 (pow.f64 N 3)) (+.f64 (/.f64 (+.f64 1 (/.f64 -1/2 N)) N) (/.f64 -1/4 (pow.f64 N 4))))))
(*.f64 1 (+.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 (+.f64 1 (/.f64 -1/2 N)) N)))
(*.f64 (*.f64 (cbrt.f64 (+.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 (+.f64 1 (/.f64 -1/2 N)) N))) (cbrt.f64 (+.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 (+.f64 1 (/.f64 -1/2 N)) N)))) (cbrt.f64 (+.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 (+.f64 1 (/.f64 -1/2 N)) N))))
(*.f64 (sqrt.f64 (+.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 (+.f64 1 (/.f64 -1/2 N)) N))) (sqrt.f64 (+.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 (+.f64 1 (/.f64 -1/2 N)) N))))
(/.f64 (+.f64 (*.f64 1/3 N) (*.f64 (pow.f64 N 3) (+.f64 1 (/.f64 -1/2 N)))) (*.f64 (pow.f64 N 3) N))
(/.f64 (+.f64 (pow.f64 (/.f64 1/3 (pow.f64 N 3)) 3) (pow.f64 (/.f64 (+.f64 1 (/.f64 -1/2 N)) N) 3)) (+.f64 (*.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 1/3 (pow.f64 N 3))) (-.f64 (*.f64 (/.f64 (+.f64 1 (/.f64 -1/2 N)) N) (/.f64 (+.f64 1 (/.f64 -1/2 N)) N)) (*.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 (+.f64 1 (/.f64 -1/2 N)) N)))))
(/.f64 (-.f64 (*.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 1/3 (pow.f64 N 3))) (*.f64 (/.f64 (+.f64 1 (/.f64 -1/2 N)) N) (/.f64 (+.f64 1 (/.f64 -1/2 N)) N))) (-.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 (+.f64 1 (/.f64 -1/2 N)) N)))
(pow.f64 (+.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 (+.f64 1 (/.f64 -1/2 N)) N)) 1)
(log.f64 (exp.f64 (+.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 (+.f64 1 (/.f64 -1/2 N)) N))))
(cbrt.f64 (*.f64 (*.f64 (+.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 (+.f64 1 (/.f64 -1/2 N)) N)) (+.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 (+.f64 1 (/.f64 -1/2 N)) N))) (+.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 (+.f64 1 (/.f64 -1/2 N)) N))))
(expm1.f64 (log1p.f64 (+.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 (+.f64 1 (/.f64 -1/2 N)) N))))
(exp.f64 (log.f64 (+.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 (+.f64 1 (/.f64 -1/2 N)) N))))
(log1p.f64 (expm1.f64 (+.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 (+.f64 1 (/.f64 -1/2 N)) N))))
(*.f64 1 (/.f64 -1/4 (pow.f64 N 4)))
(*.f64 -1/4 (/.f64 1 (pow.f64 N 4)))
(*.f64 (*.f64 (cbrt.f64 (/.f64 -1/4 (pow.f64 N 4))) (cbrt.f64 (/.f64 -1/4 (pow.f64 N 4)))) (cbrt.f64 (/.f64 -1/4 (pow.f64 N 4))))
(*.f64 (sqrt.f64 (/.f64 -1/4 (pow.f64 N 4))) (sqrt.f64 (/.f64 -1/4 (pow.f64 N 4))))
(pow.f64 (/.f64 -1/4 (pow.f64 N 4)) 1)
(log.f64 (exp.f64 (/.f64 -1/4 (pow.f64 N 4))))
(cbrt.f64 (*.f64 (*.f64 (/.f64 -1/4 (pow.f64 N 4)) (/.f64 -1/4 (pow.f64 N 4))) (/.f64 -1/4 (pow.f64 N 4))))
(expm1.f64 (log1p.f64 (/.f64 -1/4 (pow.f64 N 4))))
(exp.f64 (log.f64 (/.f64 -1/4 (pow.f64 N 4))))
(log1p.f64 (expm1.f64 (/.f64 -1/4 (pow.f64 N 4))))
(+.f64 (log.f64 N) (log.f64 N))
(*.f64 1 (log.f64 (*.f64 N N)))
(*.f64 (*.f64 (cbrt.f64 (log.f64 (*.f64 N N))) (cbrt.f64 (log.f64 (*.f64 N N)))) (cbrt.f64 (log.f64 (*.f64 N N))))
(*.f64 (sqrt.f64 (log.f64 (*.f64 N N))) (sqrt.f64 (log.f64 (*.f64 N N))))
(pow.f64 (log.f64 (*.f64 N N)) 1)
(cbrt.f64 (*.f64 (*.f64 (log.f64 (*.f64 N N)) (log.f64 (*.f64 N N))) (log.f64 (*.f64 N N))))
(expm1.f64 (log1p.f64 (log.f64 (*.f64 N N))))
(exp.f64 (log.f64 (log.f64 (*.f64 N N))))
(log1p.f64 (expm1.f64 (log.f64 (*.f64 N N))))
(*.f64 1 (+.f64 (/.f64 11/12 (pow.f64 N 4)) (+.f64 (-.f64 (+.f64 (/.f64 1 (*.f64 N N)) (/.f64 (log.f64 (*.f64 N N)) N)) (/.f64 (/.f64 (log.f64 N) N) N)) (/.f64 (fma.f64 (neg.f64 (log.f64 N)) -2/3 -1) (pow.f64 N 3)))))
(*.f64 (*.f64 (cbrt.f64 (+.f64 (/.f64 11/12 (pow.f64 N 4)) (+.f64 (-.f64 (+.f64 (/.f64 1 (*.f64 N N)) (/.f64 (log.f64 (*.f64 N N)) N)) (/.f64 (/.f64 (log.f64 N) N) N)) (/.f64 (fma.f64 (neg.f64 (log.f64 N)) -2/3 -1) (pow.f64 N 3))))) (cbrt.f64 (+.f64 (/.f64 11/12 (pow.f64 N 4)) (+.f64 (-.f64 (+.f64 (/.f64 1 (*.f64 N N)) (/.f64 (log.f64 (*.f64 N N)) N)) (/.f64 (/.f64 (log.f64 N) N) N)) (/.f64 (fma.f64 (neg.f64 (log.f64 N)) -2/3 -1) (pow.f64 N 3)))))) (cbrt.f64 (+.f64 (/.f64 11/12 (pow.f64 N 4)) (+.f64 (-.f64 (+.f64 (/.f64 1 (*.f64 N N)) (/.f64 (log.f64 (*.f64 N N)) N)) (/.f64 (/.f64 (log.f64 N) N) N)) (/.f64 (fma.f64 (neg.f64 (log.f64 N)) -2/3 -1) (pow.f64 N 3))))))
(*.f64 (sqrt.f64 (+.f64 (/.f64 11/12 (pow.f64 N 4)) (+.f64 (-.f64 (+.f64 (/.f64 1 (*.f64 N N)) (/.f64 (log.f64 (*.f64 N N)) N)) (/.f64 (/.f64 (log.f64 N) N) N)) (/.f64 (fma.f64 (neg.f64 (log.f64 N)) -2/3 -1) (pow.f64 N 3))))) (sqrt.f64 (+.f64 (/.f64 11/12 (pow.f64 N 4)) (+.f64 (-.f64 (+.f64 (/.f64 1 (*.f64 N N)) (/.f64 (log.f64 (*.f64 N N)) N)) (/.f64 (/.f64 (log.f64 N) N) N)) (/.f64 (fma.f64 (neg.f64 (log.f64 N)) -2/3 -1) (pow.f64 N 3))))))
(/.f64 (+.f64 (pow.f64 (/.f64 11/12 (pow.f64 N 4)) 3) (pow.f64 (+.f64 (-.f64 (+.f64 (/.f64 1 (*.f64 N N)) (/.f64 (log.f64 (*.f64 N N)) N)) (/.f64 (/.f64 (log.f64 N) N) N)) (/.f64 (fma.f64 (neg.f64 (log.f64 N)) -2/3 -1) (pow.f64 N 3))) 3)) (+.f64 (*.f64 (/.f64 11/12 (pow.f64 N 4)) (/.f64 11/12 (pow.f64 N 4))) (-.f64 (*.f64 (+.f64 (-.f64 (+.f64 (/.f64 1 (*.f64 N N)) (/.f64 (log.f64 (*.f64 N N)) N)) (/.f64 (/.f64 (log.f64 N) N) N)) (/.f64 (fma.f64 (neg.f64 (log.f64 N)) -2/3 -1) (pow.f64 N 3))) (+.f64 (-.f64 (+.f64 (/.f64 1 (*.f64 N N)) (/.f64 (log.f64 (*.f64 N N)) N)) (/.f64 (/.f64 (log.f64 N) N) N)) (/.f64 (fma.f64 (neg.f64 (log.f64 N)) -2/3 -1) (pow.f64 N 3)))) (*.f64 (/.f64 11/12 (pow.f64 N 4)) (+.f64 (-.f64 (+.f64 (/.f64 1 (*.f64 N N)) (/.f64 (log.f64 (*.f64 N N)) N)) (/.f64 (/.f64 (log.f64 N) N) N)) (/.f64 (fma.f64 (neg.f64 (log.f64 N)) -2/3 -1) (pow.f64 N 3)))))))
(/.f64 (-.f64 (*.f64 (/.f64 11/12 (pow.f64 N 4)) (/.f64 11/12 (pow.f64 N 4))) (*.f64 (+.f64 (-.f64 (+.f64 (/.f64 1 (*.f64 N N)) (/.f64 (log.f64 (*.f64 N N)) N)) (/.f64 (/.f64 (log.f64 N) N) N)) (/.f64 (fma.f64 (neg.f64 (log.f64 N)) -2/3 -1) (pow.f64 N 3))) (+.f64 (-.f64 (+.f64 (/.f64 1 (*.f64 N N)) (/.f64 (log.f64 (*.f64 N N)) N)) (/.f64 (/.f64 (log.f64 N) N) N)) (/.f64 (fma.f64 (neg.f64 (log.f64 N)) -2/3 -1) (pow.f64 N 3))))) (-.f64 (/.f64 11/12 (pow.f64 N 4)) (+.f64 (-.f64 (+.f64 (/.f64 1 (*.f64 N N)) (/.f64 (log.f64 (*.f64 N N)) N)) (/.f64 (/.f64 (log.f64 N) N) N)) (/.f64 (fma.f64 (neg.f64 (log.f64 N)) -2/3 -1) (pow.f64 N 3)))))
(pow.f64 (+.f64 (/.f64 11/12 (pow.f64 N 4)) (+.f64 (-.f64 (+.f64 (/.f64 1 (*.f64 N N)) (/.f64 (log.f64 (*.f64 N N)) N)) (/.f64 (/.f64 (log.f64 N) N) N)) (/.f64 (fma.f64 (neg.f64 (log.f64 N)) -2/3 -1) (pow.f64 N 3)))) 1)
(log.f64 (exp.f64 (+.f64 (/.f64 11/12 (pow.f64 N 4)) (+.f64 (-.f64 (+.f64 (/.f64 1 (*.f64 N N)) (/.f64 (log.f64 (*.f64 N N)) N)) (/.f64 (/.f64 (log.f64 N) N) N)) (/.f64 (fma.f64 (neg.f64 (log.f64 N)) -2/3 -1) (pow.f64 N 3))))))
(cbrt.f64 (*.f64 (*.f64 (+.f64 (/.f64 11/12 (pow.f64 N 4)) (+.f64 (-.f64 (+.f64 (/.f64 1 (*.f64 N N)) (/.f64 (log.f64 (*.f64 N N)) N)) (/.f64 (/.f64 (log.f64 N) N) N)) (/.f64 (fma.f64 (neg.f64 (log.f64 N)) -2/3 -1) (pow.f64 N 3)))) (+.f64 (/.f64 11/12 (pow.f64 N 4)) (+.f64 (-.f64 (+.f64 (/.f64 1 (*.f64 N N)) (/.f64 (log.f64 (*.f64 N N)) N)) (/.f64 (/.f64 (log.f64 N) N) N)) (/.f64 (fma.f64 (neg.f64 (log.f64 N)) -2/3 -1) (pow.f64 N 3))))) (+.f64 (/.f64 11/12 (pow.f64 N 4)) (+.f64 (-.f64 (+.f64 (/.f64 1 (*.f64 N N)) (/.f64 (log.f64 (*.f64 N N)) N)) (/.f64 (/.f64 (log.f64 N) N) N)) (/.f64 (fma.f64 (neg.f64 (log.f64 N)) -2/3 -1) (pow.f64 N 3))))))
(expm1.f64 (log1p.f64 (+.f64 (/.f64 11/12 (pow.f64 N 4)) (+.f64 (-.f64 (+.f64 (/.f64 1 (*.f64 N N)) (/.f64 (log.f64 (*.f64 N N)) N)) (/.f64 (/.f64 (log.f64 N) N) N)) (/.f64 (fma.f64 (neg.f64 (log.f64 N)) -2/3 -1) (pow.f64 N 3))))))
(exp.f64 (log.f64 (+.f64 (/.f64 11/12 (pow.f64 N 4)) (+.f64 (-.f64 (+.f64 (/.f64 1 (*.f64 N N)) (/.f64 (log.f64 (*.f64 N N)) N)) (/.f64 (/.f64 (log.f64 N) N) N)) (/.f64 (fma.f64 (neg.f64 (log.f64 N)) -2/3 -1) (pow.f64 N 3))))))
(log1p.f64 (expm1.f64 (+.f64 (/.f64 11/12 (pow.f64 N 4)) (+.f64 (-.f64 (+.f64 (/.f64 1 (*.f64 N N)) (/.f64 (log.f64 (*.f64 N N)) N)) (/.f64 (/.f64 (log.f64 N) N) N)) (/.f64 (fma.f64 (neg.f64 (log.f64 N)) -2/3 -1) (pow.f64 N 3))))))
(*.f64 1 (+.f64 (-.f64 (+.f64 (/.f64 1 (*.f64 N N)) (/.f64 (log.f64 (*.f64 N N)) N)) (/.f64 (/.f64 (log.f64 N) N) N)) (/.f64 (fma.f64 (neg.f64 (log.f64 N)) -2/3 -1) (pow.f64 N 3))))
(*.f64 (*.f64 (cbrt.f64 (+.f64 (-.f64 (+.f64 (/.f64 1 (*.f64 N N)) (/.f64 (log.f64 (*.f64 N N)) N)) (/.f64 (/.f64 (log.f64 N) N) N)) (/.f64 (fma.f64 (neg.f64 (log.f64 N)) -2/3 -1) (pow.f64 N 3)))) (cbrt.f64 (+.f64 (-.f64 (+.f64 (/.f64 1 (*.f64 N N)) (/.f64 (log.f64 (*.f64 N N)) N)) (/.f64 (/.f64 (log.f64 N) N) N)) (/.f64 (fma.f64 (neg.f64 (log.f64 N)) -2/3 -1) (pow.f64 N 3))))) (cbrt.f64 (+.f64 (-.f64 (+.f64 (/.f64 1 (*.f64 N N)) (/.f64 (log.f64 (*.f64 N N)) N)) (/.f64 (/.f64 (log.f64 N) N) N)) (/.f64 (fma.f64 (neg.f64 (log.f64 N)) -2/3 -1) (pow.f64 N 3)))))
(*.f64 (sqrt.f64 (+.f64 (-.f64 (+.f64 (/.f64 1 (*.f64 N N)) (/.f64 (log.f64 (*.f64 N N)) N)) (/.f64 (/.f64 (log.f64 N) N) N)) (/.f64 (fma.f64 (neg.f64 (log.f64 N)) -2/3 -1) (pow.f64 N 3)))) (sqrt.f64 (+.f64 (-.f64 (+.f64 (/.f64 1 (*.f64 N N)) (/.f64 (log.f64 (*.f64 N N)) N)) (/.f64 (/.f64 (log.f64 N) N) N)) (/.f64 (fma.f64 (neg.f64 (log.f64 N)) -2/3 -1) (pow.f64 N 3)))))
(/.f64 (+.f64 (pow.f64 (-.f64 (+.f64 (/.f64 1 (*.f64 N N)) (/.f64 (log.f64 (*.f64 N N)) N)) (/.f64 (/.f64 (log.f64 N) N) N)) 3) (pow.f64 (/.f64 (fma.f64 (neg.f64 (log.f64 N)) -2/3 -1) (pow.f64 N 3)) 3)) (+.f64 (*.f64 (-.f64 (+.f64 (/.f64 1 (*.f64 N N)) (/.f64 (log.f64 (*.f64 N N)) N)) (/.f64 (/.f64 (log.f64 N) N) N)) (-.f64 (+.f64 (/.f64 1 (*.f64 N N)) (/.f64 (log.f64 (*.f64 N N)) N)) (/.f64 (/.f64 (log.f64 N) N) N))) (-.f64 (*.f64 (/.f64 (fma.f64 (neg.f64 (log.f64 N)) -2/3 -1) (pow.f64 N 3)) (/.f64 (fma.f64 (neg.f64 (log.f64 N)) -2/3 -1) (pow.f64 N 3))) (*.f64 (-.f64 (+.f64 (/.f64 1 (*.f64 N N)) (/.f64 (log.f64 (*.f64 N N)) N)) (/.f64 (/.f64 (log.f64 N) N) N)) (/.f64 (fma.f64 (neg.f64 (log.f64 N)) -2/3 -1) (pow.f64 N 3))))))
(/.f64 (-.f64 (*.f64 (-.f64 (+.f64 (/.f64 1 (*.f64 N N)) (/.f64 (log.f64 (*.f64 N N)) N)) (/.f64 (/.f64 (log.f64 N) N) N)) (-.f64 (+.f64 (/.f64 1 (*.f64 N N)) (/.f64 (log.f64 (*.f64 N N)) N)) (/.f64 (/.f64 (log.f64 N) N) N))) (*.f64 (/.f64 (fma.f64 (neg.f64 (log.f64 N)) -2/3 -1) (pow.f64 N 3)) (/.f64 (fma.f64 (neg.f64 (log.f64 N)) -2/3 -1) (pow.f64 N 3)))) (-.f64 (-.f64 (+.f64 (/.f64 1 (*.f64 N N)) (/.f64 (log.f64 (*.f64 N N)) N)) (/.f64 (/.f64 (log.f64 N) N) N)) (/.f64 (fma.f64 (neg.f64 (log.f64 N)) -2/3 -1) (pow.f64 N 3))))
(pow.f64 (+.f64 (-.f64 (+.f64 (/.f64 1 (*.f64 N N)) (/.f64 (log.f64 (*.f64 N N)) N)) (/.f64 (/.f64 (log.f64 N) N) N)) (/.f64 (fma.f64 (neg.f64 (log.f64 N)) -2/3 -1) (pow.f64 N 3))) 1)
(log.f64 (exp.f64 (+.f64 (-.f64 (+.f64 (/.f64 1 (*.f64 N N)) (/.f64 (log.f64 (*.f64 N N)) N)) (/.f64 (/.f64 (log.f64 N) N) N)) (/.f64 (fma.f64 (neg.f64 (log.f64 N)) -2/3 -1) (pow.f64 N 3)))))
(cbrt.f64 (*.f64 (*.f64 (+.f64 (-.f64 (+.f64 (/.f64 1 (*.f64 N N)) (/.f64 (log.f64 (*.f64 N N)) N)) (/.f64 (/.f64 (log.f64 N) N) N)) (/.f64 (fma.f64 (neg.f64 (log.f64 N)) -2/3 -1) (pow.f64 N 3))) (+.f64 (-.f64 (+.f64 (/.f64 1 (*.f64 N N)) (/.f64 (log.f64 (*.f64 N N)) N)) (/.f64 (/.f64 (log.f64 N) N) N)) (/.f64 (fma.f64 (neg.f64 (log.f64 N)) -2/3 -1) (pow.f64 N 3)))) (+.f64 (-.f64 (+.f64 (/.f64 1 (*.f64 N N)) (/.f64 (log.f64 (*.f64 N N)) N)) (/.f64 (/.f64 (log.f64 N) N) N)) (/.f64 (fma.f64 (neg.f64 (log.f64 N)) -2/3 -1) (pow.f64 N 3)))))
(expm1.f64 (log1p.f64 (+.f64 (-.f64 (+.f64 (/.f64 1 (*.f64 N N)) (/.f64 (log.f64 (*.f64 N N)) N)) (/.f64 (/.f64 (log.f64 N) N) N)) (/.f64 (fma.f64 (neg.f64 (log.f64 N)) -2/3 -1) (pow.f64 N 3)))))
(exp.f64 (log.f64 (+.f64 (-.f64 (+.f64 (/.f64 1 (*.f64 N N)) (/.f64 (log.f64 (*.f64 N N)) N)) (/.f64 (/.f64 (log.f64 N) N) N)) (/.f64 (fma.f64 (neg.f64 (log.f64 N)) -2/3 -1) (pow.f64 N 3)))))
(log1p.f64 (expm1.f64 (+.f64 (-.f64 (+.f64 (/.f64 1 (*.f64 N N)) (/.f64 (log.f64 (*.f64 N N)) N)) (/.f64 (/.f64 (log.f64 N) N) N)) (/.f64 (fma.f64 (neg.f64 (log.f64 N)) -2/3 -1) (pow.f64 N 3)))))
(*.f64 1 (/.f64 (/.f64 (log.f64 N) N) N))
(*.f64 (log.f64 N) (/.f64 1 (*.f64 N N)))
(*.f64 (*.f64 (cbrt.f64 (/.f64 (/.f64 (log.f64 N) N) N)) (cbrt.f64 (/.f64 (/.f64 (log.f64 N) N) N))) (cbrt.f64 (/.f64 (/.f64 (log.f64 N) N) N)))
(*.f64 (sqrt.f64 (/.f64 (/.f64 (log.f64 N) N) N)) (sqrt.f64 (/.f64 (/.f64 (log.f64 N) N) N)))
(pow.f64 (/.f64 (/.f64 (log.f64 N) N) N) 1)
(log.f64 (exp.f64 (/.f64 (/.f64 (log.f64 N) N) N)))
(cbrt.f64 (*.f64 (*.f64 (/.f64 (/.f64 (log.f64 N) N) N) (/.f64 (/.f64 (log.f64 N) N) N)) (/.f64 (/.f64 (log.f64 N) N) N)))
(expm1.f64 (log1p.f64 (/.f64 (/.f64 (log.f64 N) N) N)))
(exp.f64 (log.f64 (/.f64 (/.f64 (log.f64 N) N) N)))
(log1p.f64 (expm1.f64 (/.f64 (/.f64 (log.f64 N) N) N)))

simplify167.0ms (1.8%)

Algorithm
egg-herbie
Rules
1248×fma-neg
702×associate-*l*
674×associate-*r*
444×fma-def
428×log-prod
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
037911597
1105110739
2581810667
Stop Event
node limit
Counts
279 → 215
Calls
Call 1
Inputs
(/.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 1/3 (/.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 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 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 -1/2 (pow.f64 N 2))
(-.f64 (/.f64 1 N) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (/.f64 1 N) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (/.f64 1 N) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(/.f64 1 N)
(-.f64 (/.f64 1 N) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (/.f64 1 N) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (/.f64 1 N) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(/.f64 1 N)
(-.f64 (/.f64 1 N) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (/.f64 1 N) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (/.f64 1 N) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(/.f64 -1/2 (pow.f64 N 2))
(-.f64 (/.f64 1 N) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
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(-.f64 (/.f64 1 N) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
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(-.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))))
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(-.f64 (/.f64 1 N) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (/.f64 1 N) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (/.f64 1 N) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(/.f64 -1/2 (pow.f64 N 2))
(-.f64 (/.f64 1 N) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (/.f64 1 N) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (/.f64 1 N) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(/.f64 1 N)
(-.f64 (/.f64 1 N) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (/.f64 1 N) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (/.f64 1 N) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(/.f64 1 N)
(-.f64 (/.f64 1 N) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (/.f64 1 N) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (/.f64 1 N) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(/.f64 -1/4 (pow.f64 N 4))
(-.f64 (/.f64 1 (pow.f64 N 2)) (*.f64 1/4 (/.f64 1 (pow.f64 N 4))))
(-.f64 (/.f64 1 (pow.f64 N 2)) (*.f64 1/4 (/.f64 1 (pow.f64 N 4))))
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(log.f64 (exp.f64 (*.f64 (/.f64 (-.f64 1 (/.f64 1/2 N)) N) (+.f64 (/.f64 1 N) (/.f64 1/2 (*.f64 N N))))))
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(exp.f64 (log.f64 (*.f64 (/.f64 (-.f64 1 (/.f64 1/2 N)) N) (+.f64 (/.f64 1 N) (/.f64 1/2 (*.f64 N N))))))
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(-.f64 (/.f64 1 N) (/.f64 1/2 (*.f64 N N)))
(*.f64 1 (/.f64 (-.f64 1 (/.f64 1/2 N)) N))
(*.f64 (-.f64 1 (/.f64 1/2 N)) (/.f64 1 N))
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(/.f64 (-.f64 (*.f64 (/.f64 11/12 (pow.f64 N 4)) (/.f64 11/12 (pow.f64 N 4))) (*.f64 (+.f64 (-.f64 (+.f64 (/.f64 1 (*.f64 N N)) (/.f64 (log.f64 (*.f64 N N)) N)) (/.f64 (/.f64 (log.f64 N) N) N)) (/.f64 (fma.f64 (neg.f64 (log.f64 N)) -2/3 -1) (pow.f64 N 3))) (+.f64 (-.f64 (+.f64 (/.f64 1 (*.f64 N N)) (/.f64 (log.f64 (*.f64 N N)) N)) (/.f64 (/.f64 (log.f64 N) N) N)) (/.f64 (fma.f64 (neg.f64 (log.f64 N)) -2/3 -1) (pow.f64 N 3))))) (-.f64 (/.f64 11/12 (pow.f64 N 4)) (+.f64 (-.f64 (+.f64 (/.f64 1 (*.f64 N N)) (/.f64 (log.f64 (*.f64 N N)) N)) (/.f64 (/.f64 (log.f64 N) N) N)) (/.f64 (fma.f64 (neg.f64 (log.f64 N)) -2/3 -1) (pow.f64 N 3)))))
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(log.f64 (exp.f64 (+.f64 (/.f64 11/12 (pow.f64 N 4)) (+.f64 (-.f64 (+.f64 (/.f64 1 (*.f64 N N)) (/.f64 (log.f64 (*.f64 N N)) N)) (/.f64 (/.f64 (log.f64 N) N) N)) (/.f64 (fma.f64 (neg.f64 (log.f64 N)) -2/3 -1) (pow.f64 N 3))))))
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(log1p.f64 (expm1.f64 (+.f64 (/.f64 11/12 (pow.f64 N 4)) (+.f64 (-.f64 (+.f64 (/.f64 1 (*.f64 N N)) (/.f64 (log.f64 (*.f64 N N)) N)) (/.f64 (/.f64 (log.f64 N) N) N)) (/.f64 (fma.f64 (neg.f64 (log.f64 N)) -2/3 -1) (pow.f64 N 3))))))
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(*.f64 (*.f64 (cbrt.f64 (+.f64 (-.f64 (+.f64 (/.f64 1 (*.f64 N N)) (/.f64 (log.f64 (*.f64 N N)) N)) (/.f64 (/.f64 (log.f64 N) N) N)) (/.f64 (fma.f64 (neg.f64 (log.f64 N)) -2/3 -1) (pow.f64 N 3)))) (cbrt.f64 (+.f64 (-.f64 (+.f64 (/.f64 1 (*.f64 N N)) (/.f64 (log.f64 (*.f64 N N)) N)) (/.f64 (/.f64 (log.f64 N) N) N)) (/.f64 (fma.f64 (neg.f64 (log.f64 N)) -2/3 -1) (pow.f64 N 3))))) (cbrt.f64 (+.f64 (-.f64 (+.f64 (/.f64 1 (*.f64 N N)) (/.f64 (log.f64 (*.f64 N N)) N)) (/.f64 (/.f64 (log.f64 N) N) N)) (/.f64 (fma.f64 (neg.f64 (log.f64 N)) -2/3 -1) (pow.f64 N 3)))))
(*.f64 (sqrt.f64 (+.f64 (-.f64 (+.f64 (/.f64 1 (*.f64 N N)) (/.f64 (log.f64 (*.f64 N N)) N)) (/.f64 (/.f64 (log.f64 N) N) N)) (/.f64 (fma.f64 (neg.f64 (log.f64 N)) -2/3 -1) (pow.f64 N 3)))) (sqrt.f64 (+.f64 (-.f64 (+.f64 (/.f64 1 (*.f64 N N)) (/.f64 (log.f64 (*.f64 N N)) N)) (/.f64 (/.f64 (log.f64 N) N) N)) (/.f64 (fma.f64 (neg.f64 (log.f64 N)) -2/3 -1) (pow.f64 N 3)))))
(/.f64 (+.f64 (pow.f64 (-.f64 (+.f64 (/.f64 1 (*.f64 N N)) (/.f64 (log.f64 (*.f64 N N)) N)) (/.f64 (/.f64 (log.f64 N) N) N)) 3) (pow.f64 (/.f64 (fma.f64 (neg.f64 (log.f64 N)) -2/3 -1) (pow.f64 N 3)) 3)) (+.f64 (*.f64 (-.f64 (+.f64 (/.f64 1 (*.f64 N N)) (/.f64 (log.f64 (*.f64 N N)) N)) (/.f64 (/.f64 (log.f64 N) N) N)) (-.f64 (+.f64 (/.f64 1 (*.f64 N N)) (/.f64 (log.f64 (*.f64 N N)) N)) (/.f64 (/.f64 (log.f64 N) N) N))) (-.f64 (*.f64 (/.f64 (fma.f64 (neg.f64 (log.f64 N)) -2/3 -1) (pow.f64 N 3)) (/.f64 (fma.f64 (neg.f64 (log.f64 N)) -2/3 -1) (pow.f64 N 3))) (*.f64 (-.f64 (+.f64 (/.f64 1 (*.f64 N N)) (/.f64 (log.f64 (*.f64 N N)) N)) (/.f64 (/.f64 (log.f64 N) N) N)) (/.f64 (fma.f64 (neg.f64 (log.f64 N)) -2/3 -1) (pow.f64 N 3))))))
(/.f64 (-.f64 (*.f64 (-.f64 (+.f64 (/.f64 1 (*.f64 N N)) (/.f64 (log.f64 (*.f64 N N)) N)) (/.f64 (/.f64 (log.f64 N) N) N)) (-.f64 (+.f64 (/.f64 1 (*.f64 N N)) (/.f64 (log.f64 (*.f64 N N)) N)) (/.f64 (/.f64 (log.f64 N) N) N))) (*.f64 (/.f64 (fma.f64 (neg.f64 (log.f64 N)) -2/3 -1) (pow.f64 N 3)) (/.f64 (fma.f64 (neg.f64 (log.f64 N)) -2/3 -1) (pow.f64 N 3)))) (-.f64 (-.f64 (+.f64 (/.f64 1 (*.f64 N N)) (/.f64 (log.f64 (*.f64 N N)) N)) (/.f64 (/.f64 (log.f64 N) N) N)) (/.f64 (fma.f64 (neg.f64 (log.f64 N)) -2/3 -1) (pow.f64 N 3))))
(pow.f64 (+.f64 (-.f64 (+.f64 (/.f64 1 (*.f64 N N)) (/.f64 (log.f64 (*.f64 N N)) N)) (/.f64 (/.f64 (log.f64 N) N) N)) (/.f64 (fma.f64 (neg.f64 (log.f64 N)) -2/3 -1) (pow.f64 N 3))) 1)
(log.f64 (exp.f64 (+.f64 (-.f64 (+.f64 (/.f64 1 (*.f64 N N)) (/.f64 (log.f64 (*.f64 N N)) N)) (/.f64 (/.f64 (log.f64 N) N) N)) (/.f64 (fma.f64 (neg.f64 (log.f64 N)) -2/3 -1) (pow.f64 N 3)))))
(cbrt.f64 (*.f64 (*.f64 (+.f64 (-.f64 (+.f64 (/.f64 1 (*.f64 N N)) (/.f64 (log.f64 (*.f64 N N)) N)) (/.f64 (/.f64 (log.f64 N) N) N)) (/.f64 (fma.f64 (neg.f64 (log.f64 N)) -2/3 -1) (pow.f64 N 3))) (+.f64 (-.f64 (+.f64 (/.f64 1 (*.f64 N N)) (/.f64 (log.f64 (*.f64 N N)) N)) (/.f64 (/.f64 (log.f64 N) N) N)) (/.f64 (fma.f64 (neg.f64 (log.f64 N)) -2/3 -1) (pow.f64 N 3)))) (+.f64 (-.f64 (+.f64 (/.f64 1 (*.f64 N N)) (/.f64 (log.f64 (*.f64 N N)) N)) (/.f64 (/.f64 (log.f64 N) N) N)) (/.f64 (fma.f64 (neg.f64 (log.f64 N)) -2/3 -1) (pow.f64 N 3)))))
(expm1.f64 (log1p.f64 (+.f64 (-.f64 (+.f64 (/.f64 1 (*.f64 N N)) (/.f64 (log.f64 (*.f64 N N)) N)) (/.f64 (/.f64 (log.f64 N) N) N)) (/.f64 (fma.f64 (neg.f64 (log.f64 N)) -2/3 -1) (pow.f64 N 3)))))
(exp.f64 (log.f64 (+.f64 (-.f64 (+.f64 (/.f64 1 (*.f64 N N)) (/.f64 (log.f64 (*.f64 N N)) N)) (/.f64 (/.f64 (log.f64 N) N) N)) (/.f64 (fma.f64 (neg.f64 (log.f64 N)) -2/3 -1) (pow.f64 N 3)))))
(log1p.f64 (expm1.f64 (+.f64 (-.f64 (+.f64 (/.f64 1 (*.f64 N N)) (/.f64 (log.f64 (*.f64 N N)) N)) (/.f64 (/.f64 (log.f64 N) N) N)) (/.f64 (fma.f64 (neg.f64 (log.f64 N)) -2/3 -1) (pow.f64 N 3)))))
(*.f64 1 (/.f64 (/.f64 (log.f64 N) N) N))
(*.f64 (log.f64 N) (/.f64 1 (*.f64 N N)))
(*.f64 (*.f64 (cbrt.f64 (/.f64 (/.f64 (log.f64 N) N) N)) (cbrt.f64 (/.f64 (/.f64 (log.f64 N) N) N))) (cbrt.f64 (/.f64 (/.f64 (log.f64 N) N) N)))
(*.f64 (sqrt.f64 (/.f64 (/.f64 (log.f64 N) N) N)) (sqrt.f64 (/.f64 (/.f64 (log.f64 N) N) N)))
(pow.f64 (/.f64 (/.f64 (log.f64 N) N) N) 1)
(log.f64 (exp.f64 (/.f64 (/.f64 (log.f64 N) N) N)))
(cbrt.f64 (*.f64 (*.f64 (/.f64 (/.f64 (log.f64 N) N) N) (/.f64 (/.f64 (log.f64 N) N) N)) (/.f64 (/.f64 (log.f64 N) N) N)))
(expm1.f64 (log1p.f64 (/.f64 (/.f64 (log.f64 N) N) N)))
(exp.f64 (log.f64 (/.f64 (/.f64 (log.f64 N) N) N)))
(log1p.f64 (expm1.f64 (/.f64 (/.f64 (log.f64 N) N) N)))
Outputs
(/.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 (*.f64 N N)))
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 -1/2 (*.f64 N N)))
(-.f64 (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 N 3))) (/.f64 1 N)) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 (-.f64 1 (/.f64 1/2 N)) N))
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 (+.f64 1 (/.f64 -1/2 N)) N))
(-.f64 (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 N 3))) (/.f64 1 N)) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 (-.f64 1 (/.f64 1/2 N)) N))
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 (+.f64 1 (/.f64 -1/2 N)) N))
(/.f64 1 N)
(-.f64 (/.f64 1 N) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(/.f64 (-.f64 1 (/.f64 1/2 N)) N)
(/.f64 (+.f64 1 (/.f64 -1/2 N)) N)
(-.f64 (+.f64 (/.f64 1 N) (*.f64 1/3 (/.f64 1 (pow.f64 N 3)))) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 (-.f64 1 (/.f64 1/2 N)) N))
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 (+.f64 1 (/.f64 -1/2 N)) N))
(-.f64 (+.f64 (/.f64 1 N) (*.f64 1/3 (/.f64 1 (pow.f64 N 3)))) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 (-.f64 1 (/.f64 1/2 N)) N))
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 (+.f64 1 (/.f64 -1/2 N)) N))
(/.f64 1 N)
(-.f64 (/.f64 1 N) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(/.f64 (-.f64 1 (/.f64 1/2 N)) N)
(/.f64 (+.f64 1 (/.f64 -1/2 N)) N)
(-.f64 (+.f64 (/.f64 1 N) (*.f64 1/3 (/.f64 1 (pow.f64 N 3)))) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 (-.f64 1 (/.f64 1/2 N)) N))
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 (+.f64 1 (/.f64 -1/2 N)) N))
(-.f64 (+.f64 (/.f64 1 N) (*.f64 1/3 (/.f64 1 (pow.f64 N 3)))) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 (-.f64 1 (/.f64 1/2 N)) N))
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 (+.f64 1 (/.f64 -1/2 N)) N))
(/.f64 -1/2 (pow.f64 N 2))
(/.f64 -1/2 (*.f64 N N))
(-.f64 (/.f64 1 N) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(/.f64 (-.f64 1 (/.f64 1/2 N)) N)
(/.f64 (+.f64 1 (/.f64 -1/2 N)) N)
(-.f64 (/.f64 1 N) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(/.f64 (-.f64 1 (/.f64 1/2 N)) N)
(/.f64 (+.f64 1 (/.f64 -1/2 N)) N)
(-.f64 (/.f64 1 N) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(/.f64 (-.f64 1 (/.f64 1/2 N)) N)
(/.f64 (+.f64 1 (/.f64 -1/2 N)) N)
(/.f64 1 N)
(-.f64 (/.f64 1 N) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(/.f64 (-.f64 1 (/.f64 1/2 N)) N)
(/.f64 (+.f64 1 (/.f64 -1/2 N)) N)
(-.f64 (/.f64 1 N) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(/.f64 (-.f64 1 (/.f64 1/2 N)) N)
(/.f64 (+.f64 1 (/.f64 -1/2 N)) N)
(-.f64 (/.f64 1 N) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(/.f64 (-.f64 1 (/.f64 1/2 N)) N)
(/.f64 (+.f64 1 (/.f64 -1/2 N)) N)
(/.f64 1 N)
(-.f64 (/.f64 1 N) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(/.f64 (-.f64 1 (/.f64 1/2 N)) N)
(/.f64 (+.f64 1 (/.f64 -1/2 N)) N)
(-.f64 (/.f64 1 N) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(/.f64 (-.f64 1 (/.f64 1/2 N)) N)
(/.f64 (+.f64 1 (/.f64 -1/2 N)) N)
(-.f64 (/.f64 1 N) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(/.f64 (-.f64 1 (/.f64 1/2 N)) N)
(/.f64 (+.f64 1 (/.f64 -1/2 N)) N)
(/.f64 -1/2 (pow.f64 N 2))
(/.f64 -1/2 (*.f64 N N))
(-.f64 (/.f64 1 N) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(/.f64 (-.f64 1 (/.f64 1/2 N)) N)
(/.f64 (+.f64 1 (/.f64 -1/2 N)) N)
(-.f64 (/.f64 1 N) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(/.f64 (-.f64 1 (/.f64 1/2 N)) N)
(/.f64 (+.f64 1 (/.f64 -1/2 N)) N)
(-.f64 (/.f64 1 N) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(/.f64 (-.f64 1 (/.f64 1/2 N)) N)
(/.f64 (+.f64 1 (/.f64 -1/2 N)) N)
(/.f64 1 N)
(-.f64 (/.f64 1 N) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(/.f64 (-.f64 1 (/.f64 1/2 N)) N)
(/.f64 (+.f64 1 (/.f64 -1/2 N)) N)
(-.f64 (/.f64 1 N) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(/.f64 (-.f64 1 (/.f64 1/2 N)) N)
(/.f64 (+.f64 1 (/.f64 -1/2 N)) N)
(-.f64 (/.f64 1 N) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
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(/.f64 (+.f64 1 (/.f64 -1/2 N)) N)
(/.f64 1 N)
(-.f64 (/.f64 1 N) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(/.f64 (-.f64 1 (/.f64 1/2 N)) N)
(/.f64 (+.f64 1 (/.f64 -1/2 N)) N)
(-.f64 (/.f64 1 N) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(/.f64 (-.f64 1 (/.f64 1/2 N)) N)
(/.f64 (+.f64 1 (/.f64 -1/2 N)) N)
(-.f64 (/.f64 1 N) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(/.f64 (-.f64 1 (/.f64 1/2 N)) N)
(/.f64 (+.f64 1 (/.f64 -1/2 N)) N)
(/.f64 -1/2 (pow.f64 N 2))
(/.f64 -1/2 (*.f64 N N))
(-.f64 (/.f64 1 N) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(/.f64 (-.f64 1 (/.f64 1/2 N)) N)
(/.f64 (+.f64 1 (/.f64 -1/2 N)) N)
(-.f64 (/.f64 1 N) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(/.f64 (-.f64 1 (/.f64 1/2 N)) N)
(/.f64 (+.f64 1 (/.f64 -1/2 N)) N)
(-.f64 (/.f64 1 N) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(/.f64 (-.f64 1 (/.f64 1/2 N)) N)
(/.f64 (+.f64 1 (/.f64 -1/2 N)) N)
(/.f64 1 N)
(-.f64 (/.f64 1 N) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(/.f64 (-.f64 1 (/.f64 1/2 N)) N)
(/.f64 (+.f64 1 (/.f64 -1/2 N)) N)
(-.f64 (/.f64 1 N) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(/.f64 (-.f64 1 (/.f64 1/2 N)) N)
(/.f64 (+.f64 1 (/.f64 -1/2 N)) N)
(-.f64 (/.f64 1 N) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(/.f64 (-.f64 1 (/.f64 1/2 N)) N)
(/.f64 (+.f64 1 (/.f64 -1/2 N)) N)
(/.f64 1 N)
(-.f64 (/.f64 1 N) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(/.f64 (-.f64 1 (/.f64 1/2 N)) N)
(/.f64 (+.f64 1 (/.f64 -1/2 N)) N)
(-.f64 (/.f64 1 N) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(/.f64 (-.f64 1 (/.f64 1/2 N)) N)
(/.f64 (+.f64 1 (/.f64 -1/2 N)) N)
(-.f64 (/.f64 1 N) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(/.f64 (-.f64 1 (/.f64 1/2 N)) N)
(/.f64 (+.f64 1 (/.f64 -1/2 N)) N)
(/.f64 -1/4 (pow.f64 N 4))
(-.f64 (/.f64 1 (pow.f64 N 2)) (*.f64 1/4 (/.f64 1 (pow.f64 N 4))))
(+.f64 (/.f64 (/.f64 1 N) N) (/.f64 -1/4 (pow.f64 N 4)))
(-.f64 (/.f64 1 (pow.f64 N 2)) (*.f64 1/4 (/.f64 1 (pow.f64 N 4))))
(+.f64 (/.f64 (/.f64 1 N) N) (/.f64 -1/4 (pow.f64 N 4)))
(-.f64 (/.f64 1 (pow.f64 N 2)) (*.f64 1/4 (/.f64 1 (pow.f64 N 4))))
(+.f64 (/.f64 (/.f64 1 N) N) (/.f64 -1/4 (pow.f64 N 4)))
(/.f64 1 (pow.f64 N 2))
(/.f64 (/.f64 1 N) N)
(-.f64 (/.f64 1 (pow.f64 N 2)) (*.f64 1/4 (/.f64 1 (pow.f64 N 4))))
(+.f64 (/.f64 (/.f64 1 N) N) (/.f64 -1/4 (pow.f64 N 4)))
(-.f64 (/.f64 1 (pow.f64 N 2)) (*.f64 1/4 (/.f64 1 (pow.f64 N 4))))
(+.f64 (/.f64 (/.f64 1 N) N) (/.f64 -1/4 (pow.f64 N 4)))
(-.f64 (/.f64 1 (pow.f64 N 2)) (*.f64 1/4 (/.f64 1 (pow.f64 N 4))))
(+.f64 (/.f64 (/.f64 1 N) N) (/.f64 -1/4 (pow.f64 N 4)))
(/.f64 1 (pow.f64 N 2))
(/.f64 (/.f64 1 N) N)
(-.f64 (/.f64 1 (pow.f64 N 2)) (*.f64 1/4 (/.f64 1 (pow.f64 N 4))))
(+.f64 (/.f64 (/.f64 1 N) N) (/.f64 -1/4 (pow.f64 N 4)))
(-.f64 (/.f64 1 (pow.f64 N 2)) (*.f64 1/4 (/.f64 1 (pow.f64 N 4))))
(+.f64 (/.f64 (/.f64 1 N) N) (/.f64 -1/4 (pow.f64 N 4)))
(-.f64 (/.f64 1 (pow.f64 N 2)) (*.f64 1/4 (/.f64 1 (pow.f64 N 4))))
(+.f64 (/.f64 (/.f64 1 N) N) (/.f64 -1/4 (pow.f64 N 4)))
(/.f64 -1/2 (pow.f64 N 2))
(/.f64 -1/2 (*.f64 N N))
(-.f64 (/.f64 1 N) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(/.f64 (-.f64 1 (/.f64 1/2 N)) N)
(/.f64 (+.f64 1 (/.f64 -1/2 N)) N)
(-.f64 (/.f64 1 N) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(/.f64 (-.f64 1 (/.f64 1/2 N)) N)
(/.f64 (+.f64 1 (/.f64 -1/2 N)) N)
(-.f64 (/.f64 1 N) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(/.f64 (-.f64 1 (/.f64 1/2 N)) N)
(/.f64 (+.f64 1 (/.f64 -1/2 N)) N)
(/.f64 1 N)
(-.f64 (/.f64 1 N) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(/.f64 (-.f64 1 (/.f64 1/2 N)) N)
(/.f64 (+.f64 1 (/.f64 -1/2 N)) N)
(-.f64 (/.f64 1 N) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(/.f64 (-.f64 1 (/.f64 1/2 N)) N)
(/.f64 (+.f64 1 (/.f64 -1/2 N)) N)
(-.f64 (/.f64 1 N) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(/.f64 (-.f64 1 (/.f64 1/2 N)) N)
(/.f64 (+.f64 1 (/.f64 -1/2 N)) N)
(/.f64 1 N)
(-.f64 (/.f64 1 N) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
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(-.f64 (/.f64 1 N) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(/.f64 (-.f64 1 (/.f64 1/2 N)) N)
(/.f64 (+.f64 1 (/.f64 -1/2 N)) N)
(-.f64 (/.f64 1 N) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(/.f64 (-.f64 1 (/.f64 1/2 N)) N)
(/.f64 (+.f64 1 (/.f64 -1/2 N)) N)
(/.f64 -1/4 (pow.f64 N 4))
(-.f64 (*.f64 1/3 (/.f64 1 (pow.f64 N 3))) (*.f64 1/4 (/.f64 1 (pow.f64 N 4))))
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 -1/4 (pow.f64 N 4)))
(-.f64 (*.f64 1/3 (/.f64 1 (pow.f64 N 3))) (+.f64 (*.f64 1/4 (/.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 -1/4 (pow.f64 N 4))) (/.f64 1/2 (*.f64 N N)))
(+.f64 (+.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 -1/4 (pow.f64 N 4))) (/.f64 -1/2 (*.f64 N N)))
(-.f64 (+.f64 (/.f64 1 N) (*.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 N) (-.f64 (+.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 -1/4 (pow.f64 N 4))) (/.f64 1/2 (*.f64 N N))))
(-.f64 (+.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 (+.f64 1 (/.f64 -1/2 N)) N)) (/.f64 1/4 (pow.f64 N 4)))
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(-.f64 (+.f64 (/.f64 1 N) (*.f64 1/3 (/.f64 1 (pow.f64 N 3)))) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 (-.f64 1 (/.f64 1/2 N)) N))
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(-.f64 (+.f64 (/.f64 1 N) (*.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)))))
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(/.f64 (-.f64 1 (/.f64 1/2 N)) N)
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(exp.f64 (log.f64 (/.f64 (*.f64 (/.f64 (-.f64 1 (/.f64 1/2 N)) N) (+.f64 (/.f64 1 N) (/.f64 1/2 (*.f64 N N)))) (+.f64 (/.f64 1 N) (/.f64 1/2 (*.f64 N N))))))
(/.f64 (-.f64 1 (/.f64 1/2 N)) N)
(/.f64 (+.f64 1 (/.f64 -1/2 N)) N)
(log1p.f64 (expm1.f64 (/.f64 (*.f64 (/.f64 (-.f64 1 (/.f64 1/2 N)) N) (+.f64 (/.f64 1 N) (/.f64 1/2 (*.f64 N N)))) (+.f64 (/.f64 1 N) (/.f64 1/2 (*.f64 N N))))))
(/.f64 (-.f64 1 (/.f64 1/2 N)) N)
(/.f64 (+.f64 1 (/.f64 -1/2 N)) N)
(/.f64 (*.f64 (+.f64 (/.f64 1 N) (/.f64 1/2 (*.f64 N N))) (-.f64 1 (/.f64 1/2 N))) N)
(*.f64 (/.f64 (-.f64 1 (/.f64 1/2 N)) N) (+.f64 (/.f64 1/2 (*.f64 N N)) (/.f64 1 N)))
(*.f64 (/.f64 (+.f64 1 (/.f64 -1/2 N)) N) (+.f64 (/.f64 1/2 (*.f64 N N)) (/.f64 1 N)))
(pow.f64 (*.f64 (/.f64 (-.f64 1 (/.f64 1/2 N)) N) (+.f64 (/.f64 1 N) (/.f64 1/2 (*.f64 N N)))) 1)
(*.f64 (/.f64 (-.f64 1 (/.f64 1/2 N)) N) (+.f64 (/.f64 1/2 (*.f64 N N)) (/.f64 1 N)))
(*.f64 (/.f64 (+.f64 1 (/.f64 -1/2 N)) N) (+.f64 (/.f64 1/2 (*.f64 N N)) (/.f64 1 N)))
(log.f64 (exp.f64 (*.f64 (/.f64 (-.f64 1 (/.f64 1/2 N)) N) (+.f64 (/.f64 1 N) (/.f64 1/2 (*.f64 N N))))))
(*.f64 (/.f64 (-.f64 1 (/.f64 1/2 N)) N) (+.f64 (/.f64 1/2 (*.f64 N N)) (/.f64 1 N)))
(*.f64 (/.f64 (+.f64 1 (/.f64 -1/2 N)) N) (+.f64 (/.f64 1/2 (*.f64 N N)) (/.f64 1 N)))
(cbrt.f64 (*.f64 (*.f64 (*.f64 (/.f64 (-.f64 1 (/.f64 1/2 N)) N) (+.f64 (/.f64 1 N) (/.f64 1/2 (*.f64 N N)))) (*.f64 (/.f64 (-.f64 1 (/.f64 1/2 N)) N) (+.f64 (/.f64 1 N) (/.f64 1/2 (*.f64 N N))))) (*.f64 (/.f64 (-.f64 1 (/.f64 1/2 N)) N) (+.f64 (/.f64 1 N) (/.f64 1/2 (*.f64 N N))))))
(*.f64 (/.f64 (-.f64 1 (/.f64 1/2 N)) N) (+.f64 (/.f64 1/2 (*.f64 N N)) (/.f64 1 N)))
(*.f64 (/.f64 (+.f64 1 (/.f64 -1/2 N)) N) (+.f64 (/.f64 1/2 (*.f64 N N)) (/.f64 1 N)))
(expm1.f64 (log1p.f64 (*.f64 (/.f64 (-.f64 1 (/.f64 1/2 N)) N) (+.f64 (/.f64 1 N) (/.f64 1/2 (*.f64 N N))))))
(*.f64 (/.f64 (-.f64 1 (/.f64 1/2 N)) N) (+.f64 (/.f64 1/2 (*.f64 N N)) (/.f64 1 N)))
(*.f64 (/.f64 (+.f64 1 (/.f64 -1/2 N)) N) (+.f64 (/.f64 1/2 (*.f64 N N)) (/.f64 1 N)))
(exp.f64 (log.f64 (*.f64 (/.f64 (-.f64 1 (/.f64 1/2 N)) N) (+.f64 (/.f64 1 N) (/.f64 1/2 (*.f64 N N))))))
(*.f64 (/.f64 (-.f64 1 (/.f64 1/2 N)) N) (+.f64 (/.f64 1/2 (*.f64 N N)) (/.f64 1 N)))
(*.f64 (/.f64 (+.f64 1 (/.f64 -1/2 N)) N) (+.f64 (/.f64 1/2 (*.f64 N N)) (/.f64 1 N)))
(log1p.f64 (expm1.f64 (*.f64 (/.f64 (-.f64 1 (/.f64 1/2 N)) N) (+.f64 (/.f64 1 N) (/.f64 1/2 (*.f64 N N))))))
(*.f64 (/.f64 (-.f64 1 (/.f64 1/2 N)) N) (+.f64 (/.f64 1/2 (*.f64 N N)) (/.f64 1 N)))
(*.f64 (/.f64 (+.f64 1 (/.f64 -1/2 N)) N) (+.f64 (/.f64 1/2 (*.f64 N N)) (/.f64 1 N)))
(-.f64 (/.f64 1 N) (/.f64 1/2 (*.f64 N N)))
(/.f64 (-.f64 1 (/.f64 1/2 N)) N)
(/.f64 (+.f64 1 (/.f64 -1/2 N)) N)
(*.f64 1 (/.f64 (-.f64 1 (/.f64 1/2 N)) N))
(/.f64 (-.f64 1 (/.f64 1/2 N)) N)
(/.f64 (+.f64 1 (/.f64 -1/2 N)) N)
(*.f64 (-.f64 1 (/.f64 1/2 N)) (/.f64 1 N))
(/.f64 (-.f64 1 (/.f64 1/2 N)) N)
(/.f64 (+.f64 1 (/.f64 -1/2 N)) N)
(*.f64 (*.f64 (cbrt.f64 (/.f64 (-.f64 1 (/.f64 1/2 N)) N)) (cbrt.f64 (/.f64 (-.f64 1 (/.f64 1/2 N)) N))) (cbrt.f64 (/.f64 (-.f64 1 (/.f64 1/2 N)) N)))
(/.f64 (-.f64 1 (/.f64 1/2 N)) N)
(/.f64 (+.f64 1 (/.f64 -1/2 N)) N)
(*.f64 (sqrt.f64 (/.f64 (-.f64 1 (/.f64 1/2 N)) N)) (sqrt.f64 (/.f64 (-.f64 1 (/.f64 1/2 N)) N)))
(/.f64 (-.f64 1 (/.f64 1/2 N)) N)
(/.f64 (+.f64 1 (/.f64 -1/2 N)) N)
(pow.f64 (/.f64 (-.f64 1 (/.f64 1/2 N)) N) 1)
(/.f64 (-.f64 1 (/.f64 1/2 N)) N)
(/.f64 (+.f64 1 (/.f64 -1/2 N)) N)
(log.f64 (exp.f64 (/.f64 (-.f64 1 (/.f64 1/2 N)) N)))
(/.f64 (-.f64 1 (/.f64 1/2 N)) N)
(/.f64 (+.f64 1 (/.f64 -1/2 N)) N)
(cbrt.f64 (*.f64 (*.f64 (/.f64 (-.f64 1 (/.f64 1/2 N)) N) (/.f64 (-.f64 1 (/.f64 1/2 N)) N)) (/.f64 (-.f64 1 (/.f64 1/2 N)) N)))
(/.f64 (-.f64 1 (/.f64 1/2 N)) N)
(/.f64 (+.f64 1 (/.f64 -1/2 N)) N)
(expm1.f64 (log1p.f64 (/.f64 (-.f64 1 (/.f64 1/2 N)) N)))
(/.f64 (-.f64 1 (/.f64 1/2 N)) N)
(/.f64 (+.f64 1 (/.f64 -1/2 N)) N)
(exp.f64 (log.f64 (/.f64 (-.f64 1 (/.f64 1/2 N)) N)))
(/.f64 (-.f64 1 (/.f64 1/2 N)) N)
(/.f64 (+.f64 1 (/.f64 -1/2 N)) N)
(log1p.f64 (expm1.f64 (/.f64 (-.f64 1 (/.f64 1/2 N)) N)))
(/.f64 (-.f64 1 (/.f64 1/2 N)) N)
(/.f64 (+.f64 1 (/.f64 -1/2 N)) N)
(*.f64 1 (+.f64 (/.f64 1/3 (pow.f64 N 3)) (+.f64 (/.f64 (+.f64 1 (/.f64 -1/2 N)) N) (/.f64 -1/4 (pow.f64 N 4)))))
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(-.f64 (+.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 (+.f64 1 (/.f64 -1/2 N)) N)) (/.f64 1/4 (pow.f64 N 4)))
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(+.f64 (/.f64 1 N) (-.f64 (+.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 -1/4 (pow.f64 N 4))) (/.f64 1/2 (*.f64 N N))))
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(+.f64 (/.f64 1 N) (-.f64 (+.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 -1/4 (pow.f64 N 4))) (/.f64 1/2 (*.f64 N N))))
(-.f64 (+.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 (+.f64 1 (/.f64 -1/2 N)) N)) (/.f64 1/4 (pow.f64 N 4)))
(+.f64 (+.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 -1/4 (pow.f64 N 4))) (/.f64 (+.f64 1 (/.f64 -1/2 N)) N))
(/.f64 (+.f64 (pow.f64 (+.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 (+.f64 1 (/.f64 -1/2 N)) N)) 3) (pow.f64 (/.f64 -1/4 (pow.f64 N 4)) 3)) (+.f64 (*.f64 (+.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 (+.f64 1 (/.f64 -1/2 N)) N)) (+.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 (+.f64 1 (/.f64 -1/2 N)) N))) (-.f64 (*.f64 (/.f64 -1/4 (pow.f64 N 4)) (/.f64 -1/4 (pow.f64 N 4))) (*.f64 (+.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 (+.f64 1 (/.f64 -1/2 N)) N)) (/.f64 -1/4 (pow.f64 N 4))))))
(/.f64 (+.f64 (pow.f64 (+.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 (+.f64 1 (/.f64 -1/2 N)) N)) 3) (/.f64 -1/64 (pow.f64 (pow.f64 N 4) 3))) (fma.f64 (+.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 (+.f64 1 (/.f64 -1/2 N)) N)) (+.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 (+.f64 1 (/.f64 -1/2 N)) N)) (*.f64 (/.f64 -1/4 (pow.f64 N 4)) (-.f64 (/.f64 -1/4 (pow.f64 N 4)) (+.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 (+.f64 1 (/.f64 -1/2 N)) N))))))
(/.f64 (+.f64 (pow.f64 (+.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 (+.f64 1 (/.f64 -1/2 N)) N)) 3) (/.f64 -1/64 (pow.f64 (pow.f64 N 4) 3))) (fma.f64 (/.f64 -1/4 (pow.f64 N 4)) (-.f64 (-.f64 (/.f64 -1/4 (pow.f64 N 4)) (/.f64 1/3 (pow.f64 N 3))) (/.f64 (+.f64 1 (/.f64 -1/2 N)) N)) (pow.f64 (+.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 (+.f64 1 (/.f64 -1/2 N)) N)) 2)))
(/.f64 (+.f64 (pow.f64 (+.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 (+.f64 1 (/.f64 -1/2 N)) N)) 3) (/.f64 -1/64 (pow.f64 (pow.f64 N 3) 4))) (fma.f64 (/.f64 -1/4 (pow.f64 N 4)) (-.f64 (-.f64 (/.f64 -1/4 (pow.f64 N 4)) (/.f64 1/3 (pow.f64 N 3))) (/.f64 (+.f64 1 (/.f64 -1/2 N)) N)) (pow.f64 (+.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 (+.f64 1 (/.f64 -1/2 N)) N)) 2)))
(/.f64 (-.f64 (*.f64 (+.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 (+.f64 1 (/.f64 -1/2 N)) N)) (+.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 (+.f64 1 (/.f64 -1/2 N)) N))) (*.f64 (/.f64 -1/4 (pow.f64 N 4)) (/.f64 -1/4 (pow.f64 N 4)))) (-.f64 (+.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 (+.f64 1 (/.f64 -1/2 N)) N)) (/.f64 -1/4 (pow.f64 N 4))))
(/.f64 (-.f64 (*.f64 (+.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 (+.f64 1 (/.f64 -1/2 N)) N)) (+.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 (+.f64 1 (/.f64 -1/2 N)) N))) (*.f64 (/.f64 -1/4 (pow.f64 N 4)) (/.f64 -1/4 (pow.f64 N 4)))) (+.f64 (/.f64 1/3 (pow.f64 N 3)) (-.f64 (/.f64 (+.f64 1 (/.f64 -1/2 N)) N) (/.f64 -1/4 (pow.f64 N 4)))))
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(pow.f64 (+.f64 (/.f64 1/3 (pow.f64 N 3)) (+.f64 (/.f64 (+.f64 1 (/.f64 -1/2 N)) N) (/.f64 -1/4 (pow.f64 N 4)))) 1)
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(log1p.f64 (expm1.f64 (+.f64 (/.f64 11/12 (pow.f64 N 4)) (+.f64 (-.f64 (+.f64 (/.f64 1 (*.f64 N N)) (/.f64 (log.f64 (*.f64 N N)) N)) (/.f64 (/.f64 (log.f64 N) N) N)) (/.f64 (fma.f64 (neg.f64 (log.f64 N)) -2/3 -1) (pow.f64 N 3))))))
(+.f64 (+.f64 (/.f64 11/12 (pow.f64 N 4)) (+.f64 (/.f64 (/.f64 1 N) N) (-.f64 (*.f64 2 (/.f64 (log.f64 N) N)) (/.f64 (log.f64 N) (*.f64 N N))))) (/.f64 (fma.f64 (neg.f64 (log.f64 N)) -2/3 -1) (pow.f64 N 3)))
(+.f64 (/.f64 11/12 (pow.f64 N 4)) (+.f64 (-.f64 (fma.f64 2 (/.f64 (log.f64 N) N) (/.f64 (/.f64 1 N) N)) (/.f64 (log.f64 N) (*.f64 N N))) (/.f64 (fma.f64 (log.f64 N) 2/3 -1) (pow.f64 N 3))))
(*.f64 1 (+.f64 (-.f64 (+.f64 (/.f64 1 (*.f64 N N)) (/.f64 (log.f64 (*.f64 N N)) N)) (/.f64 (/.f64 (log.f64 N) N) N)) (/.f64 (fma.f64 (neg.f64 (log.f64 N)) -2/3 -1) (pow.f64 N 3))))
(+.f64 (+.f64 (/.f64 (/.f64 1 N) N) (-.f64 (*.f64 2 (/.f64 (log.f64 N) N)) (/.f64 (log.f64 N) (*.f64 N N)))) (/.f64 (fma.f64 (neg.f64 (log.f64 N)) -2/3 -1) (pow.f64 N 3)))
(+.f64 (-.f64 (fma.f64 2 (/.f64 (log.f64 N) N) (/.f64 (/.f64 1 N) N)) (/.f64 (log.f64 N) (*.f64 N N))) (/.f64 (fma.f64 (log.f64 N) 2/3 -1) (pow.f64 N 3)))
(*.f64 (*.f64 (cbrt.f64 (+.f64 (-.f64 (+.f64 (/.f64 1 (*.f64 N N)) (/.f64 (log.f64 (*.f64 N N)) N)) (/.f64 (/.f64 (log.f64 N) N) N)) (/.f64 (fma.f64 (neg.f64 (log.f64 N)) -2/3 -1) (pow.f64 N 3)))) (cbrt.f64 (+.f64 (-.f64 (+.f64 (/.f64 1 (*.f64 N N)) (/.f64 (log.f64 (*.f64 N N)) N)) (/.f64 (/.f64 (log.f64 N) N) N)) (/.f64 (fma.f64 (neg.f64 (log.f64 N)) -2/3 -1) (pow.f64 N 3))))) (cbrt.f64 (+.f64 (-.f64 (+.f64 (/.f64 1 (*.f64 N N)) (/.f64 (log.f64 (*.f64 N N)) N)) (/.f64 (/.f64 (log.f64 N) N) N)) (/.f64 (fma.f64 (neg.f64 (log.f64 N)) -2/3 -1) (pow.f64 N 3)))))
(+.f64 (+.f64 (/.f64 (/.f64 1 N) N) (-.f64 (*.f64 2 (/.f64 (log.f64 N) N)) (/.f64 (log.f64 N) (*.f64 N N)))) (/.f64 (fma.f64 (neg.f64 (log.f64 N)) -2/3 -1) (pow.f64 N 3)))
(+.f64 (-.f64 (fma.f64 2 (/.f64 (log.f64 N) N) (/.f64 (/.f64 1 N) N)) (/.f64 (log.f64 N) (*.f64 N N))) (/.f64 (fma.f64 (log.f64 N) 2/3 -1) (pow.f64 N 3)))
(*.f64 (sqrt.f64 (+.f64 (-.f64 (+.f64 (/.f64 1 (*.f64 N N)) (/.f64 (log.f64 (*.f64 N N)) N)) (/.f64 (/.f64 (log.f64 N) N) N)) (/.f64 (fma.f64 (neg.f64 (log.f64 N)) -2/3 -1) (pow.f64 N 3)))) (sqrt.f64 (+.f64 (-.f64 (+.f64 (/.f64 1 (*.f64 N N)) (/.f64 (log.f64 (*.f64 N N)) N)) (/.f64 (/.f64 (log.f64 N) N) N)) (/.f64 (fma.f64 (neg.f64 (log.f64 N)) -2/3 -1) (pow.f64 N 3)))))
(+.f64 (+.f64 (/.f64 (/.f64 1 N) N) (-.f64 (*.f64 2 (/.f64 (log.f64 N) N)) (/.f64 (log.f64 N) (*.f64 N N)))) (/.f64 (fma.f64 (neg.f64 (log.f64 N)) -2/3 -1) (pow.f64 N 3)))
(+.f64 (-.f64 (fma.f64 2 (/.f64 (log.f64 N) N) (/.f64 (/.f64 1 N) N)) (/.f64 (log.f64 N) (*.f64 N N))) (/.f64 (fma.f64 (log.f64 N) 2/3 -1) (pow.f64 N 3)))
(/.f64 (+.f64 (pow.f64 (-.f64 (+.f64 (/.f64 1 (*.f64 N N)) (/.f64 (log.f64 (*.f64 N N)) N)) (/.f64 (/.f64 (log.f64 N) N) N)) 3) (pow.f64 (/.f64 (fma.f64 (neg.f64 (log.f64 N)) -2/3 -1) (pow.f64 N 3)) 3)) (+.f64 (*.f64 (-.f64 (+.f64 (/.f64 1 (*.f64 N N)) (/.f64 (log.f64 (*.f64 N N)) N)) (/.f64 (/.f64 (log.f64 N) N) N)) (-.f64 (+.f64 (/.f64 1 (*.f64 N N)) (/.f64 (log.f64 (*.f64 N N)) N)) (/.f64 (/.f64 (log.f64 N) N) N))) (-.f64 (*.f64 (/.f64 (fma.f64 (neg.f64 (log.f64 N)) -2/3 -1) (pow.f64 N 3)) (/.f64 (fma.f64 (neg.f64 (log.f64 N)) -2/3 -1) (pow.f64 N 3))) (*.f64 (-.f64 (+.f64 (/.f64 1 (*.f64 N N)) (/.f64 (log.f64 (*.f64 N N)) N)) (/.f64 (/.f64 (log.f64 N) N) N)) (/.f64 (fma.f64 (neg.f64 (log.f64 N)) -2/3 -1) (pow.f64 N 3))))))
(/.f64 (+.f64 (pow.f64 (+.f64 (/.f64 (/.f64 1 N) N) (-.f64 (*.f64 2 (/.f64 (log.f64 N) N)) (/.f64 (log.f64 N) (*.f64 N N)))) 3) (pow.f64 (/.f64 (fma.f64 (neg.f64 (log.f64 N)) -2/3 -1) (pow.f64 N 3)) 3)) (fma.f64 (+.f64 (/.f64 (/.f64 1 N) N) (-.f64 (*.f64 2 (/.f64 (log.f64 N) N)) (/.f64 (log.f64 N) (*.f64 N N)))) (+.f64 (/.f64 (/.f64 1 N) N) (-.f64 (*.f64 2 (/.f64 (log.f64 N) N)) (/.f64 (log.f64 N) (*.f64 N N)))) (*.f64 (/.f64 (fma.f64 (neg.f64 (log.f64 N)) -2/3 -1) (pow.f64 N 3)) (-.f64 (/.f64 (fma.f64 (neg.f64 (log.f64 N)) -2/3 -1) (pow.f64 N 3)) (+.f64 (/.f64 (/.f64 1 N) N) (-.f64 (*.f64 2 (/.f64 (log.f64 N) N)) (/.f64 (log.f64 N) (*.f64 N N))))))))
(/.f64 (+.f64 (pow.f64 (-.f64 (fma.f64 2 (/.f64 (log.f64 N) N) (/.f64 (/.f64 1 N) N)) (/.f64 (log.f64 N) (*.f64 N N))) 3) (pow.f64 (/.f64 (fma.f64 (log.f64 N) 2/3 -1) (pow.f64 N 3)) 3)) (fma.f64 (-.f64 (fma.f64 2 (/.f64 (log.f64 N) N) (/.f64 (/.f64 1 N) N)) (/.f64 (log.f64 N) (*.f64 N N))) (-.f64 (fma.f64 2 (/.f64 (log.f64 N) N) (/.f64 (/.f64 1 N) N)) (/.f64 (log.f64 N) (*.f64 N N))) (*.f64 (/.f64 (fma.f64 (log.f64 N) 2/3 -1) (pow.f64 N 3)) (-.f64 (/.f64 (fma.f64 (log.f64 N) 2/3 -1) (pow.f64 N 3)) (-.f64 (fma.f64 2 (/.f64 (log.f64 N) N) (/.f64 (/.f64 1 N) N)) (/.f64 (log.f64 N) (*.f64 N N)))))))
(/.f64 (-.f64 (*.f64 (-.f64 (+.f64 (/.f64 1 (*.f64 N N)) (/.f64 (log.f64 (*.f64 N N)) N)) (/.f64 (/.f64 (log.f64 N) N) N)) (-.f64 (+.f64 (/.f64 1 (*.f64 N N)) (/.f64 (log.f64 (*.f64 N N)) N)) (/.f64 (/.f64 (log.f64 N) N) N))) (*.f64 (/.f64 (fma.f64 (neg.f64 (log.f64 N)) -2/3 -1) (pow.f64 N 3)) (/.f64 (fma.f64 (neg.f64 (log.f64 N)) -2/3 -1) (pow.f64 N 3)))) (-.f64 (-.f64 (+.f64 (/.f64 1 (*.f64 N N)) (/.f64 (log.f64 (*.f64 N N)) N)) (/.f64 (/.f64 (log.f64 N) N) N)) (/.f64 (fma.f64 (neg.f64 (log.f64 N)) -2/3 -1) (pow.f64 N 3))))
(/.f64 (-.f64 (*.f64 (+.f64 (/.f64 (/.f64 1 N) N) (-.f64 (*.f64 2 (/.f64 (log.f64 N) N)) (/.f64 (log.f64 N) (*.f64 N N)))) (+.f64 (/.f64 (/.f64 1 N) N) (-.f64 (*.f64 2 (/.f64 (log.f64 N) N)) (/.f64 (log.f64 N) (*.f64 N N))))) (*.f64 (/.f64 (fma.f64 (neg.f64 (log.f64 N)) -2/3 -1) (pow.f64 N 3)) (/.f64 (fma.f64 (neg.f64 (log.f64 N)) -2/3 -1) (pow.f64 N 3)))) (-.f64 (+.f64 (/.f64 (/.f64 1 N) N) (*.f64 2 (/.f64 (log.f64 N) N))) (+.f64 (/.f64 (log.f64 N) (*.f64 N N)) (/.f64 (fma.f64 (neg.f64 (log.f64 N)) -2/3 -1) (pow.f64 N 3)))))
(/.f64 (+.f64 (-.f64 (fma.f64 2 (/.f64 (log.f64 N) N) (/.f64 (/.f64 1 N) N)) (/.f64 (log.f64 N) (*.f64 N N))) (/.f64 (fma.f64 (log.f64 N) 2/3 -1) (pow.f64 N 3))) (/.f64 (-.f64 (-.f64 (fma.f64 2 (/.f64 (log.f64 N) N) (/.f64 (/.f64 1 N) N)) (/.f64 (log.f64 N) (*.f64 N N))) (/.f64 (fma.f64 (log.f64 N) 2/3 -1) (pow.f64 N 3))) (-.f64 (-.f64 (fma.f64 2 (/.f64 (log.f64 N) N) (/.f64 (/.f64 1 N) N)) (/.f64 (log.f64 N) (*.f64 N N))) (/.f64 (fma.f64 (log.f64 N) 2/3 -1) (pow.f64 N 3)))))
(pow.f64 (+.f64 (-.f64 (+.f64 (/.f64 1 (*.f64 N N)) (/.f64 (log.f64 (*.f64 N N)) N)) (/.f64 (/.f64 (log.f64 N) N) N)) (/.f64 (fma.f64 (neg.f64 (log.f64 N)) -2/3 -1) (pow.f64 N 3))) 1)
(+.f64 (+.f64 (/.f64 (/.f64 1 N) N) (-.f64 (*.f64 2 (/.f64 (log.f64 N) N)) (/.f64 (log.f64 N) (*.f64 N N)))) (/.f64 (fma.f64 (neg.f64 (log.f64 N)) -2/3 -1) (pow.f64 N 3)))
(+.f64 (-.f64 (fma.f64 2 (/.f64 (log.f64 N) N) (/.f64 (/.f64 1 N) N)) (/.f64 (log.f64 N) (*.f64 N N))) (/.f64 (fma.f64 (log.f64 N) 2/3 -1) (pow.f64 N 3)))
(log.f64 (exp.f64 (+.f64 (-.f64 (+.f64 (/.f64 1 (*.f64 N N)) (/.f64 (log.f64 (*.f64 N N)) N)) (/.f64 (/.f64 (log.f64 N) N) N)) (/.f64 (fma.f64 (neg.f64 (log.f64 N)) -2/3 -1) (pow.f64 N 3)))))
(+.f64 (+.f64 (/.f64 (/.f64 1 N) N) (-.f64 (*.f64 2 (/.f64 (log.f64 N) N)) (/.f64 (log.f64 N) (*.f64 N N)))) (/.f64 (fma.f64 (neg.f64 (log.f64 N)) -2/3 -1) (pow.f64 N 3)))
(+.f64 (-.f64 (fma.f64 2 (/.f64 (log.f64 N) N) (/.f64 (/.f64 1 N) N)) (/.f64 (log.f64 N) (*.f64 N N))) (/.f64 (fma.f64 (log.f64 N) 2/3 -1) (pow.f64 N 3)))
(cbrt.f64 (*.f64 (*.f64 (+.f64 (-.f64 (+.f64 (/.f64 1 (*.f64 N N)) (/.f64 (log.f64 (*.f64 N N)) N)) (/.f64 (/.f64 (log.f64 N) N) N)) (/.f64 (fma.f64 (neg.f64 (log.f64 N)) -2/3 -1) (pow.f64 N 3))) (+.f64 (-.f64 (+.f64 (/.f64 1 (*.f64 N N)) (/.f64 (log.f64 (*.f64 N N)) N)) (/.f64 (/.f64 (log.f64 N) N) N)) (/.f64 (fma.f64 (neg.f64 (log.f64 N)) -2/3 -1) (pow.f64 N 3)))) (+.f64 (-.f64 (+.f64 (/.f64 1 (*.f64 N N)) (/.f64 (log.f64 (*.f64 N N)) N)) (/.f64 (/.f64 (log.f64 N) N) N)) (/.f64 (fma.f64 (neg.f64 (log.f64 N)) -2/3 -1) (pow.f64 N 3)))))
(+.f64 (+.f64 (/.f64 (/.f64 1 N) N) (-.f64 (*.f64 2 (/.f64 (log.f64 N) N)) (/.f64 (log.f64 N) (*.f64 N N)))) (/.f64 (fma.f64 (neg.f64 (log.f64 N)) -2/3 -1) (pow.f64 N 3)))
(+.f64 (-.f64 (fma.f64 2 (/.f64 (log.f64 N) N) (/.f64 (/.f64 1 N) N)) (/.f64 (log.f64 N) (*.f64 N N))) (/.f64 (fma.f64 (log.f64 N) 2/3 -1) (pow.f64 N 3)))
(expm1.f64 (log1p.f64 (+.f64 (-.f64 (+.f64 (/.f64 1 (*.f64 N N)) (/.f64 (log.f64 (*.f64 N N)) N)) (/.f64 (/.f64 (log.f64 N) N) N)) (/.f64 (fma.f64 (neg.f64 (log.f64 N)) -2/3 -1) (pow.f64 N 3)))))
(+.f64 (+.f64 (/.f64 (/.f64 1 N) N) (-.f64 (*.f64 2 (/.f64 (log.f64 N) N)) (/.f64 (log.f64 N) (*.f64 N N)))) (/.f64 (fma.f64 (neg.f64 (log.f64 N)) -2/3 -1) (pow.f64 N 3)))
(+.f64 (-.f64 (fma.f64 2 (/.f64 (log.f64 N) N) (/.f64 (/.f64 1 N) N)) (/.f64 (log.f64 N) (*.f64 N N))) (/.f64 (fma.f64 (log.f64 N) 2/3 -1) (pow.f64 N 3)))
(exp.f64 (log.f64 (+.f64 (-.f64 (+.f64 (/.f64 1 (*.f64 N N)) (/.f64 (log.f64 (*.f64 N N)) N)) (/.f64 (/.f64 (log.f64 N) N) N)) (/.f64 (fma.f64 (neg.f64 (log.f64 N)) -2/3 -1) (pow.f64 N 3)))))
(+.f64 (+.f64 (/.f64 (/.f64 1 N) N) (-.f64 (*.f64 2 (/.f64 (log.f64 N) N)) (/.f64 (log.f64 N) (*.f64 N N)))) (/.f64 (fma.f64 (neg.f64 (log.f64 N)) -2/3 -1) (pow.f64 N 3)))
(+.f64 (-.f64 (fma.f64 2 (/.f64 (log.f64 N) N) (/.f64 (/.f64 1 N) N)) (/.f64 (log.f64 N) (*.f64 N N))) (/.f64 (fma.f64 (log.f64 N) 2/3 -1) (pow.f64 N 3)))
(log1p.f64 (expm1.f64 (+.f64 (-.f64 (+.f64 (/.f64 1 (*.f64 N N)) (/.f64 (log.f64 (*.f64 N N)) N)) (/.f64 (/.f64 (log.f64 N) N) N)) (/.f64 (fma.f64 (neg.f64 (log.f64 N)) -2/3 -1) (pow.f64 N 3)))))
(+.f64 (+.f64 (/.f64 (/.f64 1 N) N) (-.f64 (*.f64 2 (/.f64 (log.f64 N) N)) (/.f64 (log.f64 N) (*.f64 N N)))) (/.f64 (fma.f64 (neg.f64 (log.f64 N)) -2/3 -1) (pow.f64 N 3)))
(+.f64 (-.f64 (fma.f64 2 (/.f64 (log.f64 N) N) (/.f64 (/.f64 1 N) N)) (/.f64 (log.f64 N) (*.f64 N N))) (/.f64 (fma.f64 (log.f64 N) 2/3 -1) (pow.f64 N 3)))
(*.f64 1 (/.f64 (/.f64 (log.f64 N) N) N))
(/.f64 (log.f64 N) (*.f64 N N))
(*.f64 (log.f64 N) (/.f64 1 (*.f64 N N)))
(/.f64 (log.f64 N) (*.f64 N N))
(*.f64 (*.f64 (cbrt.f64 (/.f64 (/.f64 (log.f64 N) N) N)) (cbrt.f64 (/.f64 (/.f64 (log.f64 N) N) N))) (cbrt.f64 (/.f64 (/.f64 (log.f64 N) N) N)))
(/.f64 (log.f64 N) (*.f64 N N))
(*.f64 (sqrt.f64 (/.f64 (/.f64 (log.f64 N) N) N)) (sqrt.f64 (/.f64 (/.f64 (log.f64 N) N) N)))
(/.f64 (log.f64 N) (*.f64 N N))
(pow.f64 (/.f64 (/.f64 (log.f64 N) N) N) 1)
(/.f64 (log.f64 N) (*.f64 N N))
(log.f64 (exp.f64 (/.f64 (/.f64 (log.f64 N) N) N)))
(/.f64 (log.f64 N) (*.f64 N N))
(cbrt.f64 (*.f64 (*.f64 (/.f64 (/.f64 (log.f64 N) N) N) (/.f64 (/.f64 (log.f64 N) N) N)) (/.f64 (/.f64 (log.f64 N) N) N)))
(/.f64 (log.f64 N) (*.f64 N N))
(expm1.f64 (log1p.f64 (/.f64 (/.f64 (log.f64 N) N) N)))
(/.f64 (log.f64 N) (*.f64 N N))
(exp.f64 (log.f64 (/.f64 (/.f64 (log.f64 N) N) N)))
(/.f64 (log.f64 N) (*.f64 N N))
(log1p.f64 (expm1.f64 (/.f64 (/.f64 (log.f64 N) N) N)))
(/.f64 (log.f64 N) (*.f64 N N))

eval245.0ms (2.6%)

Compiler

Compiled 14064 to 9109 computations (35.2% saved)

prune99.0ms (1.1%)

Pruning

19 alts after pruning (7 fresh and 12 done)

PrunedKeptTotal
New4032405
Fresh156
Picked145
Done088
Total40519424
Accurracy
100.0%
Counts
424 → 19
Alt Table
Click to see full alt table
StatusAccuracyProgram
33.3%
(/.f64 (/.f64 (/.f64 1 N) N) (+.f64 (/.f64 1 N) (/.f64 1/2 (*.f64 N N))))
49.0%
(/.f64 (/.f64 (-.f64 (pow.f64 (log1p.f64 N) 4) (*.f64 (neg.f64 (pow.f64 (log.f64 N) 2)) (neg.f64 (pow.f64 (log.f64 N) 2)))) (-.f64 (pow.f64 (log1p.f64 N) 2) (neg.f64 (pow.f64 (log.f64 N) 2)))) (+.f64 (log1p.f64 N) (log.f64 N)))
6.1%
(/.f64 (-.f64 (fma.f64 1/2 (/.f64 (neg.f64 (log.f64 N)) (pow.f64 N 4)) (log.f64 (exp.f64 (+.f64 (fma.f64 -2/3 (*.f64 (neg.f64 (log.f64 N)) (pow.f64 N -3)) (+.f64 (/.f64 (neg.f64 (log.f64 N)) (*.f64 N N)) (+.f64 (/.f64 (/.f64 1 N) N) (*.f64 -2 (/.f64 (neg.f64 (log.f64 N)) N))))) (/.f64 11/12 (pow.f64 N 4)))))) (/.f64 1 (pow.f64 N 3))) (+.f64 (log1p.f64 N) (log.f64 N)))
30.9%
(/.f64 (-.f64 (*.f64 (+.f64 (/.f64 1 N) (*.f64 1/3 (pow.f64 N -3))) (+.f64 (/.f64 1 N) (*.f64 1/3 (pow.f64 N -3)))) (*.f64 (+.f64 (/.f64 1/2 (*.f64 N N)) (/.f64 1/4 (pow.f64 N 4))) (+.f64 (/.f64 1/2 (*.f64 N N)) (/.f64 1/4 (pow.f64 N 4))))) (+.f64 (/.f64 1 N) (+.f64 (*.f64 1/3 (pow.f64 N -3)) (+.f64 (/.f64 1/2 (*.f64 N N)) (/.f64 1/4 (pow.f64 N 4))))))
29.6%
(/.f64 (-.f64 N (*.f64 N (/.f64 1/2 N))) (*.f64 N N))
55.9%
(/.f64 (-.f64 1 (/.f64 1/2 N)) N)
48.4%
(/.f64 (+.f64 (-.f64 (pow.f64 (log1p.f64 N) 2) (pow.f64 (log.f64 N) 2)) (fma.f64 (neg.f64 (log.f64 N)) (log.f64 N) (pow.f64 (log.f64 N) 2))) (+.f64 (log1p.f64 N) (log.f64 N)))
28.6%
(/.f64 (+.f64 (*.f64 -1/2 (/.f64 (log.f64 N) (pow.f64 N 4))) (+.f64 (/.f64 11/12 (pow.f64 N 4)) (+.f64 (+.f64 (/.f64 1 (*.f64 N N)) (-.f64 (/.f64 (log.f64 (*.f64 N N)) N) (/.f64 (log.f64 N) (*.f64 N N)))) (/.f64 (fma.f64 (neg.f64 (log.f64 N)) -2/3 -1) (pow.f64 N 3))))) (+.f64 (log1p.f64 N) (log.f64 N)))
28.0%
(/.f64 (+.f64 (*.f64 -1/2 (/.f64 (log.f64 N) (pow.f64 N 4))) (+.f64 (/.f64 11/12 (pow.f64 N 4)) (+.f64 (+.f64 (/.f64 1 (*.f64 N N)) (-.f64 (/.f64 (expm1.f64 (log1p.f64 (log.f64 (*.f64 N N)))) N) (/.f64 (log.f64 N) (*.f64 N N)))) (/.f64 (fma.f64 (neg.f64 (log.f64 N)) -2/3 -1) (pow.f64 N 3))))) (+.f64 (log1p.f64 N) (log.f64 N)))
56.7%
(/.f64 1 N)
55.9%
(-.f64 (/.f64 1 N) (/.f64 (/.f64 1/2 N) N))
56.3%
(-.f64 (+.f64 (/.f64 1 N) (/.f64 1/3 (pow.f64 N 3))) (+.f64 (/.f64 1/2 (*.f64 N N)) (/.f64 1/4 (pow.f64 N 4))))
45.5%
(-.f64 N (log.f64 N))
57.0%
(+.f64 (/.f64 1 N) (-.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 1/2 (*.f64 N N))))
57.0%
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 (+.f64 1 (/.f64 -1/2 N)) N))
56.3%
(+.f64 (+.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 (+.f64 1 (/.f64 -1/2 N)) N)) (/.f64 -1/4 (pow.f64 N 4)))
49.7%
(neg.f64 (log.f64 (/.f64 N (+.f64 N 1))))
44.1%
(neg.f64 (log.f64 N))
49.6%
(log.f64 (/.f64 (+.f64 N 1) N))
Compiler

Compiled 1051 to 648 computations (38.3% saved)

regimes76.0ms (0.8%)

Counts
26 → 2
Calls
Call 1
Inputs
(/.f64 1 N)
(/.f64 (-.f64 1 (/.f64 1/2 N)) N)
(-.f64 (/.f64 1 N) (/.f64 (/.f64 1/2 N) N))
(/.f64 (-.f64 N (*.f64 N (/.f64 1/2 N))) (*.f64 N N))
(/.f64 (/.f64 (/.f64 1 N) N) (+.f64 (/.f64 1 N) (/.f64 1/2 (*.f64 N N))))
(/.f64 (*.f64 (+.f64 (/.f64 1 N) (/.f64 1/2 (*.f64 N N))) (/.f64 (-.f64 1 (/.f64 1/2 N)) N)) (+.f64 (/.f64 1 N) (/.f64 1/2 (*.f64 N N))))
(neg.f64 (log.f64 N))
(-.f64 N (log.f64 N))
(log.f64 (/.f64 (+.f64 N 1) N))
(neg.f64 (log.f64 (/.f64 N (+.f64 N 1))))
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 (+.f64 1 (/.f64 -1/2 N)) N))
(+.f64 (/.f64 1 N) (-.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 1/2 (*.f64 N N))))
(-.f64 (log1p.f64 N) (log.f64 N))
(-.f64 (log.f64 (+.f64 N 1)) (log.f64 N))
(+.f64 (+.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 (+.f64 1 (/.f64 -1/2 N)) N)) (/.f64 -1/4 (pow.f64 N 4)))
(-.f64 (+.f64 (/.f64 1 N) (/.f64 1/3 (pow.f64 N 3))) (+.f64 (/.f64 1/2 (*.f64 N N)) (/.f64 1/4 (pow.f64 N 4))))
(/.f64 (+.f64 (pow.f64 N 5) (*.f64 N (-.f64 (*.f64 (*.f64 1/3 N) N) (*.f64 (pow.f64 N 3) 1/2)))) (*.f64 N (pow.f64 N 5)))
(/.f64 (-.f64 (pow.f64 (log1p.f64 N) 2) (pow.f64 (log.f64 N) 2)) (+.f64 (log1p.f64 N) (log.f64 N)))
(/.f64 (-.f64 (*.f64 (+.f64 (/.f64 1 N) (*.f64 1/3 (pow.f64 N -3))) (+.f64 (/.f64 1 N) (*.f64 1/3 (pow.f64 N -3)))) (*.f64 (+.f64 (/.f64 1/2 (*.f64 N N)) (/.f64 1/4 (pow.f64 N 4))) (+.f64 (/.f64 1/2 (*.f64 N N)) (/.f64 1/4 (pow.f64 N 4))))) (+.f64 (/.f64 1 N) (+.f64 (*.f64 1/3 (pow.f64 N -3)) (+.f64 (/.f64 1/2 (*.f64 N N)) (/.f64 1/4 (pow.f64 N 4))))))
(/.f64 (+.f64 (*.f64 -1/2 (/.f64 (log.f64 N) (pow.f64 N 4))) (+.f64 (/.f64 11/12 (pow.f64 N 4)) (+.f64 (+.f64 (/.f64 1 (*.f64 N N)) (-.f64 (/.f64 (log.f64 (*.f64 N N)) N) (/.f64 (log.f64 N) (*.f64 N N)))) (/.f64 (fma.f64 (neg.f64 (log.f64 N)) -2/3 -1) (pow.f64 N 3))))) (+.f64 (log1p.f64 N) (log.f64 N)))
(/.f64 (+.f64 (-.f64 (pow.f64 (log1p.f64 N) 2) (pow.f64 (log.f64 N) 2)) (fma.f64 (neg.f64 (log.f64 N)) (log.f64 N) (pow.f64 (log.f64 N) 2))) (+.f64 (log1p.f64 N) (log.f64 N)))
(/.f64 (/.f64 (-.f64 (pow.f64 (log1p.f64 N) 4) (*.f64 (neg.f64 (pow.f64 (log.f64 N) 2)) (neg.f64 (pow.f64 (log.f64 N) 2)))) (-.f64 (pow.f64 (log1p.f64 N) 2) (neg.f64 (pow.f64 (log.f64 N) 2)))) (+.f64 (log1p.f64 N) (log.f64 N)))
(/.f64 (+.f64 (*.f64 -1/2 (/.f64 (log.f64 N) (pow.f64 N 4))) (+.f64 (/.f64 11/12 (pow.f64 N 4)) (+.f64 (+.f64 (/.f64 1 (*.f64 N N)) (-.f64 (/.f64 (expm1.f64 (log1p.f64 (log.f64 (*.f64 N N)))) N) (/.f64 (log.f64 N) (*.f64 N N)))) (/.f64 (fma.f64 (neg.f64 (log.f64 N)) -2/3 -1) (pow.f64 N 3))))) (+.f64 (log1p.f64 N) (log.f64 N)))
(/.f64 (-.f64 (fma.f64 1/2 (/.f64 (neg.f64 (log.f64 N)) (pow.f64 N 4)) (+.f64 (fma.f64 -2/3 (/.f64 (neg.f64 (log.f64 N)) (pow.f64 N 3)) (+.f64 (/.f64 (neg.f64 (log.f64 N)) (*.f64 N N)) (+.f64 (/.f64 1 (*.f64 N N)) (*.f64 -2 (/.f64 (neg.f64 (log.f64 N)) N))))) (/.f64 11/12 (pow.f64 N 4)))) (/.f64 1 (pow.f64 N 3))) (+.f64 (log1p.f64 N) (log.f64 N)))
(/.f64 (exp.f64 (log.f64 (-.f64 (fma.f64 1/2 (/.f64 (neg.f64 (log.f64 N)) (pow.f64 N 4)) (+.f64 (fma.f64 -2/3 (*.f64 (neg.f64 (log.f64 N)) (pow.f64 N -3)) (+.f64 (/.f64 (neg.f64 (log.f64 N)) (*.f64 N N)) (+.f64 (/.f64 (/.f64 1 N) N) (*.f64 -2 (/.f64 (neg.f64 (log.f64 N)) N))))) (/.f64 11/12 (pow.f64 N 4)))) (pow.f64 N -3)))) (+.f64 (log1p.f64 N) (log.f64 N)))
(/.f64 (-.f64 (fma.f64 1/2 (/.f64 (neg.f64 (log.f64 N)) (pow.f64 N 4)) (log.f64 (exp.f64 (+.f64 (fma.f64 -2/3 (*.f64 (neg.f64 (log.f64 N)) (pow.f64 N -3)) (+.f64 (/.f64 (neg.f64 (log.f64 N)) (*.f64 N N)) (+.f64 (/.f64 (/.f64 1 N) N) (*.f64 -2 (/.f64 (neg.f64 (log.f64 N)) N))))) (/.f64 11/12 (pow.f64 N 4)))))) (/.f64 1 (pow.f64 N 3))) (+.f64 (log1p.f64 N) (log.f64 N)))
Outputs
(+.f64 (+.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 (+.f64 1 (/.f64 -1/2 N)) N)) (/.f64 -1/4 (pow.f64 N 4)))
(neg.f64 (log.f64 (/.f64 N (+.f64 N 1))))
Calls

2 calls:

57.0ms
N
9.0ms
(-.f64 (log.f64 (+.f64 N 1)) (log.f64 N))
Results
AccuracySegmentsBranch
99.9%2N
99.9%2(-.f64 (log.f64 (+.f64 N 1)) (log.f64 N))
Compiler

Compiled 622 to 358 computations (42.4% saved)

regimes28.0ms (0.3%)

Counts
14 → 2
Calls
Call 1
Inputs
(/.f64 1 N)
(/.f64 (-.f64 1 (/.f64 1/2 N)) N)
(-.f64 (/.f64 1 N) (/.f64 (/.f64 1/2 N) N))
(/.f64 (-.f64 N (*.f64 N (/.f64 1/2 N))) (*.f64 N N))
(/.f64 (/.f64 (/.f64 1 N) N) (+.f64 (/.f64 1 N) (/.f64 1/2 (*.f64 N N))))
(/.f64 (*.f64 (+.f64 (/.f64 1 N) (/.f64 1/2 (*.f64 N N))) (/.f64 (-.f64 1 (/.f64 1/2 N)) N)) (+.f64 (/.f64 1 N) (/.f64 1/2 (*.f64 N N))))
(neg.f64 (log.f64 N))
(-.f64 N (log.f64 N))
(log.f64 (/.f64 (+.f64 N 1) N))
(neg.f64 (log.f64 (/.f64 N (+.f64 N 1))))
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 (+.f64 1 (/.f64 -1/2 N)) N))
(+.f64 (/.f64 1 N) (-.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 1/2 (*.f64 N N))))
(-.f64 (log1p.f64 N) (log.f64 N))
(-.f64 (log.f64 (+.f64 N 1)) (log.f64 N))
Outputs
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 (+.f64 1 (/.f64 -1/2 N)) N))
(log.f64 (/.f64 (+.f64 N 1) N))
Calls

2 calls:

18.0ms
N
6.0ms
(-.f64 (log.f64 (+.f64 N 1)) (log.f64 N))
Results
AccuracySegmentsBranch
99.9%2N
99.9%2(-.f64 (log.f64 (+.f64 N 1)) (log.f64 N))
Compiler

Compiled 143 to 91 computations (36.4% saved)

regimes15.0ms (0.2%)

Counts
10 → 2
Calls
Call 1
Inputs
(/.f64 1 N)
(/.f64 (-.f64 1 (/.f64 1/2 N)) N)
(-.f64 (/.f64 1 N) (/.f64 (/.f64 1/2 N) N))
(/.f64 (-.f64 N (*.f64 N (/.f64 1/2 N))) (*.f64 N N))
(/.f64 (/.f64 (/.f64 1 N) N) (+.f64 (/.f64 1 N) (/.f64 1/2 (*.f64 N N))))
(/.f64 (*.f64 (+.f64 (/.f64 1 N) (/.f64 1/2 (*.f64 N N))) (/.f64 (-.f64 1 (/.f64 1/2 N)) N)) (+.f64 (/.f64 1 N) (/.f64 1/2 (*.f64 N N))))
(neg.f64 (log.f64 N))
(-.f64 N (log.f64 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 (-.f64 1 (/.f64 1/2 N)) N)
Calls

1 calls:

12.0ms
N
Results
AccuracySegmentsBranch
99.6%2N
Compiler

Compiled 95 to 59 computations (37.9% saved)

regimes14.0ms (0.1%)

Counts
9 → 2
Calls
Call 1
Inputs
(/.f64 1 N)
(/.f64 (-.f64 1 (/.f64 1/2 N)) N)
(-.f64 (/.f64 1 N) (/.f64 (/.f64 1/2 N) N))
(/.f64 (-.f64 N (*.f64 N (/.f64 1/2 N))) (*.f64 N N))
(/.f64 (/.f64 (/.f64 1 N) N) (+.f64 (/.f64 1 N) (/.f64 1/2 (*.f64 N N))))
(/.f64 (*.f64 (+.f64 (/.f64 1 N) (/.f64 1/2 (*.f64 N N))) (/.f64 (-.f64 1 (/.f64 1/2 N)) N)) (+.f64 (/.f64 1 N) (/.f64 1/2 (*.f64 N N))))
(neg.f64 (log.f64 N))
(-.f64 N (log.f64 N))
(log.f64 (/.f64 (+.f64 N 1) N))
Outputs
(log.f64 (/.f64 (+.f64 N 1) N))
(/.f64 (-.f64 1 (/.f64 1/2 N)) N)
Calls

1 calls:

11.0ms
N
Results
AccuracySegmentsBranch
99.6%2N
Compiler

Compiled 88 to 54 computations (38.6% saved)

regimes13.0ms (0.1%)

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

1 calls:

11.0ms
N
Results
AccuracySegmentsBranch
98.8%2N
Compiler

Compiled 82 to 50 computations (39% saved)

regimes14.0ms (0.1%)

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

1 calls:

11.0ms
N
Results
AccuracySegmentsBranch
98.4%2N
Compiler

Compiled 78 to 49 computations (37.2% saved)

regimes10.0ms (0.1%)

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

1 calls:

8.0ms
N
Results
AccuracySegmentsBranch
58.7%2N
Compiler

Compiled 75 to 47 computations (37.3% saved)

regimes6.0ms (0.1%)

Accuracy

Total -18.1b remaining (-65.2%)

Threshold costs -18.1b (-65.2%)

Counts
4 → 1
Calls
Call 1
Inputs
(/.f64 1 N)
(/.f64 (-.f64 1 (/.f64 1/2 N)) N)
(-.f64 (/.f64 1 N) (/.f64 (/.f64 1/2 N) N))
(/.f64 (-.f64 N (*.f64 N (/.f64 1/2 N))) (*.f64 N N))
Outputs
(/.f64 1 N)
Calls

1 calls:

5.0ms
N
Results
AccuracySegmentsBranch
56.7%1N
Compiler

Compiled 33 to 21 computations (36.4% saved)

bsearch0.0ms (0%)

Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.00032378826151280293
0.0025176939877127325
Compiler

Compiled 12 to 9 computations (25% saved)

bsearch0.0ms (0%)

Algorithm
left-value
Steps
TimeLeftRight
0.0ms
4.5849521388419134e-6
0.00032378826151280293
Compiler

Compiled 12 to 9 computations (25% saved)

bsearch10.0ms (0.1%)

Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
10.0ms
323798.88501355617
704250.9011215155
Results
9.0ms80×body256valid
Compiler

Compiled 102 to 79 computations (22.5% saved)

bsearch16.0ms (0.2%)

Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
16.0ms
3087.9381171339805
218104.28486758997
Results
14.0ms112×body256valid
Compiler

Compiled 131 to 100 computations (23.7% saved)

bsearch20.0ms (0.2%)

Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
20.0ms
0.0021105703358576503
396.68906789797853
Results
18.0ms144×body256valid
Compiler

Compiled 147 to 108 computations (26.5% saved)

bsearch17.0ms (0.2%)

Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
17.0ms
0.0021105703358576503
396.68906789797853
Results
15.0ms144×body256valid
Compiler

Compiled 138 to 108 computations (21.7% saved)

bsearch15.0ms (0.2%)

Algorithm
binary-search
Stop Event
predicate-same
Steps
TimeLeftRight
15.0ms
704250.9011215155
96433468.90447722
Results
14.0ms64×body256valid
Compiler

Compiled 116 to 85 computations (26.7% saved)

simplify13.0ms (0.1%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
064436
180436
291436
397436
4100436
5101436
Stop Event
fuel
saturated
Calls
Call 1
Inputs
(if (<=.f64 (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N)) 1152921504606847/2305843009213693952) (+.f64 (+.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 (+.f64 1 (/.f64 -1/2 N)) N)) (/.f64 -1/4 (pow.f64 N 4))) (neg.f64 (log.f64 (/.f64 N (+.f64 N 1)))))
(if (<=.f64 (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N)) 5902958103587057/1180591620717411303424) (+.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 (+.f64 1 (/.f64 -1/2 N)) N)) (log.f64 (/.f64 (+.f64 N 1) N)))
(if (<=.f64 N 330000) (neg.f64 (log.f64 (/.f64 N (+.f64 N 1)))) (/.f64 (-.f64 1 (/.f64 1/2 N)) N))
(if (<=.f64 N 190000) (log.f64 (/.f64 (+.f64 N 1) N)) (/.f64 (-.f64 1 (/.f64 1/2 N)) N))
(if (<=.f64 N 8106479329266893/9007199254740992) (-.f64 N (log.f64 N)) (/.f64 (-.f64 1 (/.f64 1/2 N)) N))
(if (<=.f64 N 6124895493223875/9007199254740992) (neg.f64 (log.f64 N)) (/.f64 (-.f64 1 (/.f64 1/2 N)) N))
(if (<=.f64 N 60000000) (/.f64 (/.f64 (/.f64 1 N) N) (+.f64 (/.f64 1 N) (/.f64 1/2 (*.f64 N N)))) (/.f64 (-.f64 1 (/.f64 1/2 N)) N))
(/.f64 1 N)
Outputs
(if (<=.f64 (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N)) 1152921504606847/2305843009213693952) (+.f64 (+.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 (+.f64 1 (/.f64 -1/2 N)) N)) (/.f64 -1/4 (pow.f64 N 4))) (neg.f64 (log.f64 (/.f64 N (+.f64 N 1)))))
(if (<=.f64 (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N)) 5902958103587057/1180591620717411303424) (+.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 (+.f64 1 (/.f64 -1/2 N)) N)) (log.f64 (/.f64 (+.f64 N 1) N)))
(if (<=.f64 N 330000) (neg.f64 (log.f64 (/.f64 N (+.f64 N 1)))) (/.f64 (-.f64 1 (/.f64 1/2 N)) N))
(if (<=.f64 N 190000) (log.f64 (/.f64 (+.f64 N 1) N)) (/.f64 (-.f64 1 (/.f64 1/2 N)) N))
(if (<=.f64 N 8106479329266893/9007199254740992) (-.f64 N (log.f64 N)) (/.f64 (-.f64 1 (/.f64 1/2 N)) N))
(if (<=.f64 N 6124895493223875/9007199254740992) (neg.f64 (log.f64 N)) (/.f64 (-.f64 1 (/.f64 1/2 N)) N))
(if (<=.f64 N 60000000) (/.f64 (/.f64 (/.f64 1 N) N) (+.f64 (/.f64 1 N) (/.f64 1/2 (*.f64 N N)))) (/.f64 (-.f64 1 (/.f64 1/2 N)) N))
(/.f64 1 N)
Compiler

Compiled 166 to 123 computations (25.9% saved)

soundness1.8s (19.7%)

Rules
1682×div-sub
1682×div-sub
1682×div-sub
1682×div-sub
1522×fma-neg
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0921
11415
21915
32715
43615
55315
69015
712615
817515
921015
1023615
1123815
01261407
13361319
211011313
354461309
059319461
1176714647
0715
114415
2188715
026192
1609184
0102723138
1290021316
01261407
13361319
211011313
354461309
055624
11337624
059319461
1176714647
037911597
1105110739
2581810667
059319461
1176714647
01261407
13361319
211011313
354461309
01261407
13361319
211011313
354461309
059319461
1176714647
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
saturated
Compiler

Compiled 1257 to 941 computations (25.1% saved)

end117.0ms (1.3%)

Compiler

Compiled 334 to 238 computations (28.7% saved)

Profiling

Loading profile data...