2log (problem 3.3.6)

Details

Time bar (total: 12.3s)

analyze756.0ms (6.1%)

Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%100%0%0%0%0%0
0%0%199.9%-99.9%0%0%0%1
0%0%399.8%-299.8%0%0%0%2
0%0%799.6%-699.6%0%0%0%3
0%0%1599.2%-1499.2%0%0%0%4
0%0%3198.4%-3098.4%0%0%0%5
0%0%6396.9%-6296.9%0%0%0%6
0%0%12793.8%-12693.8%0%0%0%7
0%0%25587.5%-25487.5%0%0%0%8
0%0%51175%-51075%0%0%0%9
0%0%102350%-102250%0%0%0%10
0%0%204700%-204600%0%0%0%11
0%0%409400%-409300%0%0%0%12
Compiler

Compiled 9 to 7 computations (22.2% saved)

sample3.4s (27.2%)

Results
1.2s8300×body256invalid
1.0s4926×body256valid
712.0ms2057×body1024valid
263.0ms1021×body512valid
110.0ms252×body2048valid
Bogosity

preprocess37.0ms (0.3%)

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)

simplify21.0ms (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
57.2%
Counts
3 → 1
Alt Table
Click to see full alt table
StatusAccuracyProgram
57.2%
(-.f64 (log1p.f64 N) (log.f64 N))
57.2%
(-.f64 (log1p.f64 N) (log.f64 N))
Compiler

Compiled 12 to 8 computations (33.3% saved)

localize77.0ms (0.6%)

Local Accuracy

Found 1 expressions with local accuracy:

NewAccuracyProgram
57.2%
(-.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))

rewrite99.0ms (0.8%)

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)))

simplify160.0ms (1.3%)

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))

eval124.0ms (1%)

Compiler

Compiled 943 to 456 computations (51.6% saved)

prune42.0ms (0.3%)

Pruning

8 alts after pruning (8 fresh and 0 done)

PrunedKeptTotal
New63871
Fresh000
Picked101
Done000
Total64872
Accurracy
100.0%
Counts
72 → 8
Alt Table
Click to see full alt table
StatusAccuracyProgram
48.6%
(/.f64 1 N)
46.6%
(-.f64 (/.f64 1 N) (/.f64 (/.f64 1/2 N) N))
46.6%
(-.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))))
54.7%
(-.f64 N (log.f64 N))
47.6%
(+.f64 (/.f64 1 N) (-.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 1/2 (*.f64 N N))))
4.1%
(*.f64 (+.f64 (sqrt.f64 (log1p.f64 N)) (sqrt.f64 (log.f64 N))) (-.f64 (sqrt.f64 (log1p.f64 N)) (sqrt.f64 (log.f64 N))))
53.4%
(neg.f64 (log.f64 N))
57.5%
(log.f64 (/.f64 (+.f64 N 1) N))
48.6%
(/.f64 1 N)
46.6%
(-.f64 (/.f64 1 N) (/.f64 (/.f64 1/2 N) N))
46.6%
(-.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))))
54.7%
(-.f64 N (log.f64 N))
47.6%
(+.f64 (/.f64 1 N) (-.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 1/2 (*.f64 N N))))
4.1%
(*.f64 (+.f64 (sqrt.f64 (log1p.f64 N)) (sqrt.f64 (log.f64 N))) (-.f64 (sqrt.f64 (log1p.f64 N)) (sqrt.f64 (log.f64 N))))
53.4%
(neg.f64 (log.f64 N))
57.5%
(log.f64 (/.f64 (+.f64 N 1) N))
Compiler

Compiled 336 to 232 computations (31% saved)

localize931.0ms (7.5%)

Local Accuracy

Found 8 expressions with local accuracy:

NewAccuracyProgram
100.0%
(sqrt.f64 (log1p.f64 N))
100.0%
(+.f64 (sqrt.f64 (log1p.f64 N)) (sqrt.f64 (log.f64 N)))
100.0%
(*.f64 (+.f64 (sqrt.f64 (log1p.f64 N)) (sqrt.f64 (log.f64 N))) (-.f64 (sqrt.f64 (log1p.f64 N)) (sqrt.f64 (log.f64 N))))
98.9%
(-.f64 (sqrt.f64 (log1p.f64 N)) (sqrt.f64 (log.f64 N)))
100.0%
(/.f64 1/2 (*.f64 N N))
100.0%
(-.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 1/2 (*.f64 N N)))
100.0%
(/.f64 1/3 (pow.f64 N 3))
99.1%
(log.f64 (/.f64 (+.f64 N 1) N))
Compiler

Compiled 119 to 55 computations (53.8% saved)

series31.0ms (0.3%)

Counts
8 → 71
Calls

24 calls:

TimeVariablePointExpression
9.0ms
N
@-inf
(*.f64 (+.f64 (sqrt.f64 (log1p.f64 N)) (sqrt.f64 (log.f64 N))) (-.f64 (sqrt.f64 (log1p.f64 N)) (sqrt.f64 (log.f64 N))))
6.0ms
N
@-inf
(+.f64 (sqrt.f64 (log1p.f64 N)) (sqrt.f64 (log.f64 N)))
4.0ms
N
@inf
(*.f64 (+.f64 (sqrt.f64 (log1p.f64 N)) (sqrt.f64 (log.f64 N))) (-.f64 (sqrt.f64 (log1p.f64 N)) (sqrt.f64 (log.f64 N))))
2.0ms
N
@inf
(-.f64 (sqrt.f64 (log1p.f64 N)) (sqrt.f64 (log.f64 N)))
2.0ms
N
@-inf
(-.f64 (sqrt.f64 (log1p.f64 N)) (sqrt.f64 (log.f64 N)))

rewrite357.0ms (2.9%)

Algorithm
batch-egg-rewrite
Rules
812×expm1-udef
808×log1p-udef
500×add-sqr-sqrt
480×pow1
478×*-un-lft-identity
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
023142
1513138
27012138
Stop Event
node limit
Counts
8 → 350
Calls
Call 1
Inputs
(log.f64 (/.f64 (+.f64 N 1) N))
(/.f64 1/3 (pow.f64 N 3))
(-.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 1/2 (*.f64 N N)))
(/.f64 1/2 (*.f64 N N))
(-.f64 (sqrt.f64 (log1p.f64 N)) (sqrt.f64 (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 (sqrt.f64 (log1p.f64 N)) (sqrt.f64 (log.f64 N)))
(sqrt.f64 (log1p.f64 N))
Outputs
(+.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 (sqrt.f64 (log.f64 N))) (sqrt.f64 (log.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 (/.f64 1 N)))
(+.f64 (log1p.f64 N) (neg.f64 (log.f64 N)))
(+.f64 (log1p.f64 N) (*.f64 -1 (log.f64 N)))
(+.f64 (log1p.f64 N) (*.f64 (neg.f64 (sqrt.f64 (log.f64 N))) (sqrt.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 0 (-.f64 (log1p.f64 N) (log.f64 N)))
(+.f64 (log.f64 (sqrt.f64 (/.f64 (+.f64 N 1) N))) (log.f64 (sqrt.f64 (/.f64 (+.f64 N 1) N))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 N 1) N)) 2)) (log.f64 (cbrt.f64 (/.f64 (+.f64 N 1) N))))
(+.f64 (*.f64 (+.f64 (sqrt.f64 (log1p.f64 N)) (sqrt.f64 (log.f64 N))) (sqrt.f64 (log1p.f64 N))) (*.f64 (+.f64 (sqrt.f64 (log1p.f64 N)) (sqrt.f64 (log.f64 N))) (neg.f64 (sqrt.f64 (log.f64 N)))))
(+.f64 (*.f64 (-.f64 (sqrt.f64 (log1p.f64 N)) (sqrt.f64 (log.f64 N))) (sqrt.f64 (log1p.f64 N))) (*.f64 (-.f64 (sqrt.f64 (log1p.f64 N)) (sqrt.f64 (log.f64 N))) (sqrt.f64 (log.f64 N))))
(+.f64 (*.f64 (-.f64 (sqrt.f64 (log1p.f64 N)) (sqrt.f64 (log.f64 N))) (sqrt.f64 (log.f64 N))) (*.f64 (-.f64 (sqrt.f64 (log1p.f64 N)) (sqrt.f64 (log.f64 N))) (sqrt.f64 (log1p.f64 N))))
(+.f64 (*.f64 (sqrt.f64 (log1p.f64 N)) (+.f64 (sqrt.f64 (log1p.f64 N)) (sqrt.f64 (log.f64 N)))) (*.f64 (neg.f64 (sqrt.f64 (log.f64 N))) (+.f64 (sqrt.f64 (log1p.f64 N)) (sqrt.f64 (log.f64 N)))))
(+.f64 (*.f64 (sqrt.f64 (log1p.f64 N)) (-.f64 (sqrt.f64 (log1p.f64 N)) (sqrt.f64 (log.f64 N)))) (*.f64 (sqrt.f64 (log.f64 N)) (-.f64 (sqrt.f64 (log1p.f64 N)) (sqrt.f64 (log.f64 N)))))
(+.f64 (*.f64 (sqrt.f64 (log.f64 N)) (-.f64 (sqrt.f64 (log1p.f64 N)) (sqrt.f64 (log.f64 N)))) (*.f64 (sqrt.f64 (log1p.f64 N)) (-.f64 (sqrt.f64 (log1p.f64 N)) (sqrt.f64 (log.f64 N)))))
(-.f64 (log1p.f64 N) (log.f64 N))
(-.f64 0 (log.f64 (/.f64 N (+.f64 N 1))))
(-.f64 (log.f64 (+.f64 (neg.f64 N) -1)) (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 (log1p.f64 N) (log.f64 N)) 1)
(*.f64 (-.f64 (sqrt.f64 (log1p.f64 N)) (sqrt.f64 (log.f64 N))) (+.f64 (sqrt.f64 (log1p.f64 N)) (sqrt.f64 (log.f64 N))))
(*.f64 (+.f64 (sqrt.f64 (log1p.f64 N)) (sqrt.f64 (log.f64 N))) (-.f64 (sqrt.f64 (log1p.f64 N)) (sqrt.f64 (log.f64 N))))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 (sqrt.f64 (log1p.f64 N)) (sqrt.f64 (log.f64 N)))) 2) (*.f64 (cbrt.f64 (-.f64 (sqrt.f64 (log1p.f64 N)) (sqrt.f64 (log.f64 N)))) (+.f64 (sqrt.f64 (log1p.f64 N)) (sqrt.f64 (log.f64 N)))))
(*.f64 (cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))) (cbrt.f64 (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 2)))
(*.f64 (cbrt.f64 (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 2)) (cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 (sqrt.f64 (log1p.f64 N)) (sqrt.f64 (log.f64 N)))) 2) (*.f64 (cbrt.f64 (+.f64 (sqrt.f64 (log1p.f64 N)) (sqrt.f64 (log.f64 N)))) (-.f64 (sqrt.f64 (log1p.f64 N)) (sqrt.f64 (log.f64 N)))))
(*.f64 (sqrt.f64 (-.f64 (sqrt.f64 (log1p.f64 N)) (sqrt.f64 (log.f64 N)))) (*.f64 (sqrt.f64 (-.f64 (sqrt.f64 (log1p.f64 N)) (sqrt.f64 (log.f64 N)))) (+.f64 (sqrt.f64 (log1p.f64 N)) (sqrt.f64 (log.f64 N)))))
(*.f64 (sqrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))) (sqrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))))
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(fma.f64 (sqrt.f64 (log1p.f64 N)) (sqrt.f64 (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)))
(-.f64 (exp.f64 (log1p.f64 (+.f64 (sqrt.f64 (log1p.f64 N)) (sqrt.f64 (log.f64 N))))) 1)
(-.f64 (/.f64 (log1p.f64 N) (-.f64 (sqrt.f64 (log1p.f64 N)) (sqrt.f64 (log.f64 N)))) (/.f64 (log.f64 N) (-.f64 (sqrt.f64 (log1p.f64 N)) (sqrt.f64 (log.f64 N)))))
(*.f64 1 (+.f64 (sqrt.f64 (log1p.f64 N)) (sqrt.f64 (log.f64 N))))
(*.f64 (-.f64 (log1p.f64 N) (log.f64 N)) (/.f64 1 (-.f64 (sqrt.f64 (log1p.f64 N)) (sqrt.f64 (log.f64 N)))))
(*.f64 (+.f64 (sqrt.f64 (log1p.f64 N)) (sqrt.f64 (log.f64 N))) 1)
(*.f64 (cbrt.f64 (+.f64 (sqrt.f64 (log1p.f64 N)) (sqrt.f64 (log.f64 N)))) (pow.f64 (cbrt.f64 (+.f64 (sqrt.f64 (log1p.f64 N)) (sqrt.f64 (log.f64 N)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 (sqrt.f64 (log1p.f64 N)) (sqrt.f64 (log.f64 N)))) 2) (cbrt.f64 (+.f64 (sqrt.f64 (log1p.f64 N)) (sqrt.f64 (log.f64 N)))))
(*.f64 (sqrt.f64 (+.f64 (sqrt.f64 (log1p.f64 N)) (sqrt.f64 (log.f64 N)))) (sqrt.f64 (+.f64 (sqrt.f64 (log1p.f64 N)) (sqrt.f64 (log.f64 N)))))
(*.f64 (+.f64 (pow.f64 (log1p.f64 N) 3/2) (pow.f64 (log.f64 N) 3/2)) (/.f64 1 (-.f64 (+.f64 (log1p.f64 N) (log.f64 N)) (sqrt.f64 (*.f64 (log1p.f64 N) (log.f64 N))))))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 2)) 1) (/.f64 (cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))) (-.f64 (sqrt.f64 (log1p.f64 N)) (sqrt.f64 (log.f64 N)))))
(*.f64 (/.f64 (sqrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))) 1) (/.f64 (sqrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))) (-.f64 (sqrt.f64 (log1p.f64 N)) (sqrt.f64 (log.f64 N)))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (-.f64 (sqrt.f64 (log1p.f64 N)) (sqrt.f64 (log.f64 N)))) 2)) (/.f64 (-.f64 (log1p.f64 N) (log.f64 N)) (cbrt.f64 (-.f64 (sqrt.f64 (log1p.f64 N)) (sqrt.f64 (log.f64 N))))))
(*.f64 (/.f64 1 (sqrt.f64 (-.f64 (sqrt.f64 (log1p.f64 N)) (sqrt.f64 (log.f64 N))))) (/.f64 (-.f64 (log1p.f64 N) (log.f64 N)) (sqrt.f64 (-.f64 (sqrt.f64 (log1p.f64 N)) (sqrt.f64 (log.f64 N))))))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 2)) (pow.f64 (cbrt.f64 (-.f64 (sqrt.f64 (log1p.f64 N)) (sqrt.f64 (log.f64 N)))) 2)) (cbrt.f64 (+.f64 (sqrt.f64 (log1p.f64 N)) (sqrt.f64 (log.f64 N)))))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 2)) (sqrt.f64 (-.f64 (sqrt.f64 (log1p.f64 N)) (sqrt.f64 (log.f64 N))))) (/.f64 (cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))) (sqrt.f64 (-.f64 (sqrt.f64 (log1p.f64 N)) (sqrt.f64 (log.f64 N))))))
(*.f64 (/.f64 (sqrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))) (pow.f64 (cbrt.f64 (-.f64 (sqrt.f64 (log1p.f64 N)) (sqrt.f64 (log.f64 N)))) 2)) (/.f64 (sqrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))) (cbrt.f64 (-.f64 (sqrt.f64 (log1p.f64 N)) (sqrt.f64 (log.f64 N))))))
(*.f64 (/.f64 (-.f64 (log1p.f64 N) (log.f64 N)) (-.f64 (log1p.f64 N) (log.f64 N))) (+.f64 (sqrt.f64 (log1p.f64 N)) (sqrt.f64 (log.f64 N))))
(*.f64 (/.f64 (-.f64 (log1p.f64 N) (log.f64 N)) (-.f64 (pow.f64 (log1p.f64 N) 3/2) (pow.f64 (log.f64 N) 3/2))) (+.f64 (log1p.f64 N) (+.f64 (log.f64 N) (sqrt.f64 (*.f64 (log1p.f64 N) (log.f64 N))))))
(/.f64 1 (/.f64 (-.f64 (sqrt.f64 (log1p.f64 N)) (sqrt.f64 (log.f64 N))) (-.f64 (log1p.f64 N) (log.f64 N))))
(/.f64 1 (/.f64 (-.f64 (+.f64 (log1p.f64 N) (log.f64 N)) (sqrt.f64 (*.f64 (log1p.f64 N) (log.f64 N)))) (+.f64 (pow.f64 (log1p.f64 N) 3/2) (pow.f64 (log.f64 N) 3/2))))
(/.f64 (-.f64 (log1p.f64 N) (log.f64 N)) (-.f64 (sqrt.f64 (log1p.f64 N)) (sqrt.f64 (log.f64 N))))
(/.f64 (cbrt.f64 (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 2)) (/.f64 (-.f64 (sqrt.f64 (log1p.f64 N)) (sqrt.f64 (log.f64 N))) (cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N)))))
(/.f64 (sqrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))) (/.f64 (-.f64 (sqrt.f64 (log1p.f64 N)) (sqrt.f64 (log.f64 N))) (sqrt.f64 (-.f64 (log1p.f64 N) (log.f64 N)))))
(/.f64 (+.f64 (pow.f64 (log1p.f64 N) 3/2) (pow.f64 (log.f64 N) 3/2)) (-.f64 (+.f64 (log1p.f64 N) (log.f64 N)) (sqrt.f64 (*.f64 (log1p.f64 N) (log.f64 N)))))
(/.f64 (+.f64 (pow.f64 (log1p.f64 N) 3/2) (pow.f64 (log.f64 N) 3/2)) (+.f64 (log.f64 N) (-.f64 (log1p.f64 N) (sqrt.f64 (*.f64 (log1p.f64 N) (log.f64 N))))))
(/.f64 (-.f64 (log.f64 N) (log1p.f64 N)) (-.f64 (sqrt.f64 (log.f64 N)) (sqrt.f64 (log1p.f64 N))))
(/.f64 (neg.f64 (-.f64 (log1p.f64 N) (log.f64 N))) (neg.f64 (-.f64 (sqrt.f64 (log1p.f64 N)) (sqrt.f64 (log.f64 N)))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (log1p.f64 N) 3/2) (pow.f64 (log.f64 N) 3/2))) (neg.f64 (-.f64 (+.f64 (log1p.f64 N) (log.f64 N)) (sqrt.f64 (*.f64 (log1p.f64 N) (log.f64 N))))))
(/.f64 (/.f64 (-.f64 (log1p.f64 N) (log.f64 N)) (sqrt.f64 (-.f64 (sqrt.f64 (log1p.f64 N)) (sqrt.f64 (log.f64 N))))) (sqrt.f64 (-.f64 (sqrt.f64 (log1p.f64 N)) (sqrt.f64 (log.f64 N)))))
(/.f64 (/.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 1) (-.f64 (sqrt.f64 (log1p.f64 N)) (sqrt.f64 (log.f64 N))))
(/.f64 (/.f64 (-.f64 (log1p.f64 N) (log.f64 N)) (pow.f64 (cbrt.f64 (-.f64 (sqrt.f64 (log1p.f64 N)) (sqrt.f64 (log.f64 N)))) 2)) (cbrt.f64 (-.f64 (sqrt.f64 (log1p.f64 N)) (sqrt.f64 (log.f64 N)))))
(pow.f64 (+.f64 (sqrt.f64 (log1p.f64 N)) (sqrt.f64 (log.f64 N))) 1)
(pow.f64 (cbrt.f64 (+.f64 (sqrt.f64 (log1p.f64 N)) (sqrt.f64 (log.f64 N)))) 3)
(pow.f64 (pow.f64 (+.f64 (sqrt.f64 (log1p.f64 N)) (sqrt.f64 (log.f64 N))) 3) 1/3)
(pow.f64 (sqrt.f64 (+.f64 (sqrt.f64 (log1p.f64 N)) (sqrt.f64 (log.f64 N)))) 2)
(sqrt.f64 (pow.f64 (+.f64 (sqrt.f64 (log1p.f64 N)) (sqrt.f64 (log.f64 N))) 2))
(log.f64 (exp.f64 (+.f64 (sqrt.f64 (log1p.f64 N)) (sqrt.f64 (log.f64 N)))))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 (sqrt.f64 (log1p.f64 N)) (sqrt.f64 (log.f64 N))))))
(cbrt.f64 (pow.f64 (+.f64 (sqrt.f64 (log1p.f64 N)) (sqrt.f64 (log.f64 N))) 3))
(cbrt.f64 (/.f64 (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 3) (pow.f64 (-.f64 (sqrt.f64 (log1p.f64 N)) (sqrt.f64 (log.f64 N))) 3)))
(expm1.f64 (log1p.f64 (+.f64 (sqrt.f64 (log1p.f64 N)) (sqrt.f64 (log.f64 N)))))
(exp.f64 (log.f64 (+.f64 (sqrt.f64 (log1p.f64 N)) (sqrt.f64 (log.f64 N)))))
(exp.f64 (*.f64 (log.f64 (+.f64 (sqrt.f64 (log1p.f64 N)) (sqrt.f64 (log.f64 N)))) 1))
(log1p.f64 (expm1.f64 (+.f64 (sqrt.f64 (log1p.f64 N)) (sqrt.f64 (log.f64 N)))))
(fma.f64 1 (sqrt.f64 (log1p.f64 N)) (sqrt.f64 (log.f64 N)))
(fma.f64 1 (sqrt.f64 (log.f64 N)) (sqrt.f64 (log1p.f64 N)))
(fma.f64 (cbrt.f64 (log1p.f64 N)) (cbrt.f64 (sqrt.f64 (log1p.f64 N))) (sqrt.f64 (log.f64 N)))
(fma.f64 (cbrt.f64 (log.f64 N)) (cbrt.f64 (sqrt.f64 (log.f64 N))) (sqrt.f64 (log1p.f64 N)))
(fma.f64 (pow.f64 (log1p.f64 N) 1/4) (pow.f64 (log1p.f64 N) 1/4) (sqrt.f64 (log.f64 N)))
(fma.f64 (pow.f64 (log.f64 N) 1/4) (pow.f64 (log.f64 N) 1/4) (sqrt.f64 (log1p.f64 N)))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (log1p.f64 N)))) 1)
(*.f64 1 (sqrt.f64 (log1p.f64 N)))
(*.f64 (sqrt.f64 (log1p.f64 N)) 1)
(*.f64 (cbrt.f64 (sqrt.f64 (log1p.f64 N))) (cbrt.f64 (log1p.f64 N)))
(*.f64 (cbrt.f64 (log1p.f64 N)) (cbrt.f64 (sqrt.f64 (log1p.f64 N))))
(*.f64 (pow.f64 (log1p.f64 N) 1/4) (pow.f64 (log1p.f64 N) 1/4))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (log1p.f64 N)) 2)) (sqrt.f64 (cbrt.f64 (log1p.f64 N))))
(*.f64 (pow.f64 1 1/2) (sqrt.f64 (log1p.f64 N)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (log1p.f64 N)) 2) 1/2) (pow.f64 (cbrt.f64 (log1p.f64 N)) 1/2))
(pow.f64 (log1p.f64 N) 1/2)
(pow.f64 (sqrt.f64 (log1p.f64 N)) 1)
(pow.f64 (cbrt.f64 (sqrt.f64 (log1p.f64 N))) 3)
(pow.f64 (pow.f64 (log1p.f64 N) 1/4) 2)
(pow.f64 (pow.f64 (log1p.f64 N) 3/2) 1/3)
(fabs.f64 (sqrt.f64 (log1p.f64 N)))
(log.f64 (exp.f64 (sqrt.f64 (log1p.f64 N))))
(log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (log1p.f64 N)))))
(cbrt.f64 (pow.f64 (log1p.f64 N) 3/2))
(expm1.f64 (log1p.f64 (sqrt.f64 (log1p.f64 N))))
(exp.f64 (log.f64 (sqrt.f64 (log1p.f64 N))))
(exp.f64 (*.f64 (log.f64 (log1p.f64 N)) 1/2))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (log1p.f64 N))) 1))
(log1p.f64 (expm1.f64 (sqrt.f64 (log1p.f64 N))))

simplify314.0ms (2.5%)

Algorithm
egg-herbie
Rules
1218×associate-*l*
1210×associate-*r*
1024×fma-def
572×distribute-lft-in
568×distribute-rgt-in
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
084021775
1231120013
Stop Event
node limit
Counts
421 → 532
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 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))
(/.f64 1/2 (pow.f64 N 2))
(*.f64 -1 (sqrt.f64 (log.f64 N)))
(*.f64 1/2 (*.f64 (/.f64 1 (*.f64 N (sqrt.f64 -1))) (sqrt.f64 (/.f64 1 (log.f64 (/.f64 1 N))))))
(+.f64 (*.f64 -1/2 (*.f64 (/.f64 (+.f64 1/2 (pow.f64 (*.f64 1/2 (*.f64 (/.f64 1 (sqrt.f64 -1)) (sqrt.f64 (/.f64 1 (log.f64 (/.f64 1 N)))))) 2)) (*.f64 (pow.f64 N 2) (sqrt.f64 -1))) (sqrt.f64 (/.f64 1 (log.f64 (/.f64 1 N)))))) (*.f64 1/2 (*.f64 (/.f64 1 (*.f64 N (sqrt.f64 -1))) (sqrt.f64 (/.f64 1 (log.f64 (/.f64 1 N)))))))
(+.f64 (*.f64 1/2 (*.f64 (/.f64 (-.f64 1/3 (*.f64 -1/2 (/.f64 (+.f64 1/2 (pow.f64 (*.f64 1/2 (*.f64 (/.f64 1 (sqrt.f64 -1)) (sqrt.f64 (/.f64 1 (log.f64 (/.f64 1 N)))))) 2)) (*.f64 (pow.f64 (sqrt.f64 -1) 2) (log.f64 (/.f64 1 N)))))) (*.f64 (pow.f64 N 3) (sqrt.f64 -1))) (sqrt.f64 (/.f64 1 (log.f64 (/.f64 1 N)))))) (+.f64 (*.f64 -1/2 (*.f64 (/.f64 (+.f64 1/2 (pow.f64 (*.f64 1/2 (*.f64 (/.f64 1 (sqrt.f64 -1)) (sqrt.f64 (/.f64 1 (log.f64 (/.f64 1 N)))))) 2)) (*.f64 (pow.f64 N 2) (sqrt.f64 -1))) (sqrt.f64 (/.f64 1 (log.f64 (/.f64 1 N)))))) (*.f64 1/2 (*.f64 (/.f64 1 (*.f64 N (sqrt.f64 -1))) (sqrt.f64 (/.f64 1 (log.f64 (/.f64 1 N))))))))
(+.f64 (*.f64 -1/2 (*.f64 (/.f64 (+.f64 1/4 (+.f64 (*.f64 1/2 (/.f64 (-.f64 1/3 (*.f64 -1/2 (/.f64 (+.f64 1/2 (pow.f64 (*.f64 1/2 (*.f64 (/.f64 1 (sqrt.f64 -1)) (sqrt.f64 (/.f64 1 (log.f64 (/.f64 1 N)))))) 2)) (*.f64 (pow.f64 (sqrt.f64 -1) 2) (log.f64 (/.f64 1 N)))))) (*.f64 (pow.f64 (sqrt.f64 -1) 2) (log.f64 (/.f64 1 N))))) (pow.f64 (*.f64 -1/2 (*.f64 (/.f64 (+.f64 1/2 (pow.f64 (*.f64 1/2 (*.f64 (/.f64 1 (sqrt.f64 -1)) (sqrt.f64 (/.f64 1 (log.f64 (/.f64 1 N)))))) 2)) (sqrt.f64 -1)) (sqrt.f64 (/.f64 1 (log.f64 (/.f64 1 N)))))) 2))) (*.f64 (pow.f64 N 4) (sqrt.f64 -1))) (sqrt.f64 (/.f64 1 (log.f64 (/.f64 1 N)))))) (+.f64 (*.f64 1/2 (*.f64 (/.f64 (-.f64 1/3 (*.f64 -1/2 (/.f64 (+.f64 1/2 (pow.f64 (*.f64 1/2 (*.f64 (/.f64 1 (sqrt.f64 -1)) (sqrt.f64 (/.f64 1 (log.f64 (/.f64 1 N)))))) 2)) (*.f64 (pow.f64 (sqrt.f64 -1) 2) (log.f64 (/.f64 1 N)))))) (*.f64 (pow.f64 N 3) (sqrt.f64 -1))) (sqrt.f64 (/.f64 1 (log.f64 (/.f64 1 N)))))) (+.f64 (*.f64 -1/2 (*.f64 (/.f64 (+.f64 1/2 (pow.f64 (*.f64 1/2 (*.f64 (/.f64 1 (sqrt.f64 -1)) (sqrt.f64 (/.f64 1 (log.f64 (/.f64 1 N)))))) 2)) (*.f64 (pow.f64 N 2) (sqrt.f64 -1))) (sqrt.f64 (/.f64 1 (log.f64 (/.f64 1 N)))))) (*.f64 1/2 (*.f64 (/.f64 1 (*.f64 N (sqrt.f64 -1))) (sqrt.f64 (/.f64 1 (log.f64 (/.f64 1 N)))))))))
(*.f64 1/2 (*.f64 (/.f64 1 N) (sqrt.f64 (/.f64 1 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 N))))))))
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(/.f64 (*.f64 (+.f64 (sqrt.f64 (log1p.f64 N)) (sqrt.f64 (log.f64 N))) (-.f64 (log1p.f64 N) (log.f64 N))) (+.f64 (sqrt.f64 (log1p.f64 N)) (sqrt.f64 (log.f64 N))))
(/.f64 (*.f64 (-.f64 (sqrt.f64 (log1p.f64 N)) (sqrt.f64 (log.f64 N))) (-.f64 (log1p.f64 N) (log.f64 N))) (-.f64 (sqrt.f64 (log1p.f64 N)) (sqrt.f64 (log.f64 N))))
(/.f64 (*.f64 (-.f64 (sqrt.f64 (log1p.f64 N)) (sqrt.f64 (log.f64 N))) (+.f64 (pow.f64 (log1p.f64 N) 3/2) (pow.f64 (log.f64 N) 3/2))) (-.f64 (+.f64 (log1p.f64 N) (log.f64 N)) (sqrt.f64 (*.f64 (log1p.f64 N) (log.f64 N)))))
(/.f64 (*.f64 (+.f64 (sqrt.f64 (log1p.f64 N)) (sqrt.f64 (log.f64 N))) (-.f64 (pow.f64 (log1p.f64 N) 3/2) (pow.f64 (log.f64 N) 3/2))) (+.f64 (log1p.f64 N) (+.f64 (log.f64 N) (sqrt.f64 (*.f64 (log1p.f64 N) (log.f64 N))))))
(/.f64 (*.f64 (-.f64 (pow.f64 (log1p.f64 N) 3/2) (pow.f64 (log.f64 N) 3/2)) (+.f64 (sqrt.f64 (log1p.f64 N)) (sqrt.f64 (log.f64 N)))) (+.f64 (log1p.f64 N) (+.f64 (log.f64 N) (sqrt.f64 (*.f64 (log1p.f64 N) (log.f64 N))))))
(/.f64 (*.f64 (+.f64 (pow.f64 (log1p.f64 N) 3/2) (pow.f64 (log.f64 N) 3/2)) (-.f64 (sqrt.f64 (log1p.f64 N)) (sqrt.f64 (log.f64 N)))) (-.f64 (+.f64 (log1p.f64 N) (log.f64 N)) (sqrt.f64 (*.f64 (log1p.f64 N) (log.f64 N)))))
(pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 1)
(pow.f64 (cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))) 3)
(pow.f64 (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 3) 1/3)
(pow.f64 (sqrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))) 2)
(neg.f64 (log.f64 (/.f64 N (+.f64 N 1))))
(sqrt.f64 (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 2))
(log.f64 (/.f64 (+.f64 N 1) N))
(log.f64 (+.f64 1 (-.f64 (/.f64 (+.f64 N 1) N) 1)))
(cbrt.f64 (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 3))
(cbrt.f64 (*.f64 (pow.f64 (-.f64 (sqrt.f64 (log1p.f64 N)) (sqrt.f64 (log.f64 N))) 3) (pow.f64 (+.f64 (sqrt.f64 (log1p.f64 N)) (sqrt.f64 (log.f64 N))) 3)))
(cbrt.f64 (*.f64 (pow.f64 (+.f64 (sqrt.f64 (log1p.f64 N)) (sqrt.f64 (log.f64 N))) 3) (pow.f64 (-.f64 (sqrt.f64 (log1p.f64 N)) (sqrt.f64 (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 (sqrt.f64 (log1p.f64 N)) (sqrt.f64 (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)))
(-.f64 (exp.f64 (log1p.f64 (+.f64 (sqrt.f64 (log1p.f64 N)) (sqrt.f64 (log.f64 N))))) 1)
(-.f64 (/.f64 (log1p.f64 N) (-.f64 (sqrt.f64 (log1p.f64 N)) (sqrt.f64 (log.f64 N)))) (/.f64 (log.f64 N) (-.f64 (sqrt.f64 (log1p.f64 N)) (sqrt.f64 (log.f64 N)))))
(*.f64 1 (+.f64 (sqrt.f64 (log1p.f64 N)) (sqrt.f64 (log.f64 N))))
(*.f64 (-.f64 (log1p.f64 N) (log.f64 N)) (/.f64 1 (-.f64 (sqrt.f64 (log1p.f64 N)) (sqrt.f64 (log.f64 N)))))
(*.f64 (+.f64 (sqrt.f64 (log1p.f64 N)) (sqrt.f64 (log.f64 N))) 1)
(*.f64 (cbrt.f64 (+.f64 (sqrt.f64 (log1p.f64 N)) (sqrt.f64 (log.f64 N)))) (pow.f64 (cbrt.f64 (+.f64 (sqrt.f64 (log1p.f64 N)) (sqrt.f64 (log.f64 N)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 (sqrt.f64 (log1p.f64 N)) (sqrt.f64 (log.f64 N)))) 2) (cbrt.f64 (+.f64 (sqrt.f64 (log1p.f64 N)) (sqrt.f64 (log.f64 N)))))
(*.f64 (sqrt.f64 (+.f64 (sqrt.f64 (log1p.f64 N)) (sqrt.f64 (log.f64 N)))) (sqrt.f64 (+.f64 (sqrt.f64 (log1p.f64 N)) (sqrt.f64 (log.f64 N)))))
(*.f64 (+.f64 (pow.f64 (log1p.f64 N) 3/2) (pow.f64 (log.f64 N) 3/2)) (/.f64 1 (-.f64 (+.f64 (log1p.f64 N) (log.f64 N)) (sqrt.f64 (*.f64 (log1p.f64 N) (log.f64 N))))))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 2)) 1) (/.f64 (cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))) (-.f64 (sqrt.f64 (log1p.f64 N)) (sqrt.f64 (log.f64 N)))))
(*.f64 (/.f64 (sqrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))) 1) (/.f64 (sqrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))) (-.f64 (sqrt.f64 (log1p.f64 N)) (sqrt.f64 (log.f64 N)))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (-.f64 (sqrt.f64 (log1p.f64 N)) (sqrt.f64 (log.f64 N)))) 2)) (/.f64 (-.f64 (log1p.f64 N) (log.f64 N)) (cbrt.f64 (-.f64 (sqrt.f64 (log1p.f64 N)) (sqrt.f64 (log.f64 N))))))
(*.f64 (/.f64 1 (sqrt.f64 (-.f64 (sqrt.f64 (log1p.f64 N)) (sqrt.f64 (log.f64 N))))) (/.f64 (-.f64 (log1p.f64 N) (log.f64 N)) (sqrt.f64 (-.f64 (sqrt.f64 (log1p.f64 N)) (sqrt.f64 (log.f64 N))))))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 2)) (pow.f64 (cbrt.f64 (-.f64 (sqrt.f64 (log1p.f64 N)) (sqrt.f64 (log.f64 N)))) 2)) (cbrt.f64 (+.f64 (sqrt.f64 (log1p.f64 N)) (sqrt.f64 (log.f64 N)))))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 2)) (sqrt.f64 (-.f64 (sqrt.f64 (log1p.f64 N)) (sqrt.f64 (log.f64 N))))) (/.f64 (cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))) (sqrt.f64 (-.f64 (sqrt.f64 (log1p.f64 N)) (sqrt.f64 (log.f64 N))))))
(*.f64 (/.f64 (sqrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))) (pow.f64 (cbrt.f64 (-.f64 (sqrt.f64 (log1p.f64 N)) (sqrt.f64 (log.f64 N)))) 2)) (/.f64 (sqrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))) (cbrt.f64 (-.f64 (sqrt.f64 (log1p.f64 N)) (sqrt.f64 (log.f64 N))))))
(*.f64 (/.f64 (-.f64 (log1p.f64 N) (log.f64 N)) (-.f64 (log1p.f64 N) (log.f64 N))) (+.f64 (sqrt.f64 (log1p.f64 N)) (sqrt.f64 (log.f64 N))))
(*.f64 (/.f64 (-.f64 (log1p.f64 N) (log.f64 N)) (-.f64 (pow.f64 (log1p.f64 N) 3/2) (pow.f64 (log.f64 N) 3/2))) (+.f64 (log1p.f64 N) (+.f64 (log.f64 N) (sqrt.f64 (*.f64 (log1p.f64 N) (log.f64 N))))))
(/.f64 1 (/.f64 (-.f64 (sqrt.f64 (log1p.f64 N)) (sqrt.f64 (log.f64 N))) (-.f64 (log1p.f64 N) (log.f64 N))))
(/.f64 1 (/.f64 (-.f64 (+.f64 (log1p.f64 N) (log.f64 N)) (sqrt.f64 (*.f64 (log1p.f64 N) (log.f64 N)))) (+.f64 (pow.f64 (log1p.f64 N) 3/2) (pow.f64 (log.f64 N) 3/2))))
(/.f64 (-.f64 (log1p.f64 N) (log.f64 N)) (-.f64 (sqrt.f64 (log1p.f64 N)) (sqrt.f64 (log.f64 N))))
(/.f64 (cbrt.f64 (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 2)) (/.f64 (-.f64 (sqrt.f64 (log1p.f64 N)) (sqrt.f64 (log.f64 N))) (cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N)))))
(/.f64 (sqrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))) (/.f64 (-.f64 (sqrt.f64 (log1p.f64 N)) (sqrt.f64 (log.f64 N))) (sqrt.f64 (-.f64 (log1p.f64 N) (log.f64 N)))))
(/.f64 (+.f64 (pow.f64 (log1p.f64 N) 3/2) (pow.f64 (log.f64 N) 3/2)) (-.f64 (+.f64 (log1p.f64 N) (log.f64 N)) (sqrt.f64 (*.f64 (log1p.f64 N) (log.f64 N)))))
(/.f64 (+.f64 (pow.f64 (log1p.f64 N) 3/2) (pow.f64 (log.f64 N) 3/2)) (+.f64 (log.f64 N) (-.f64 (log1p.f64 N) (sqrt.f64 (*.f64 (log1p.f64 N) (log.f64 N))))))
(/.f64 (-.f64 (log.f64 N) (log1p.f64 N)) (-.f64 (sqrt.f64 (log.f64 N)) (sqrt.f64 (log1p.f64 N))))
(/.f64 (neg.f64 (-.f64 (log1p.f64 N) (log.f64 N))) (neg.f64 (-.f64 (sqrt.f64 (log1p.f64 N)) (sqrt.f64 (log.f64 N)))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (log1p.f64 N) 3/2) (pow.f64 (log.f64 N) 3/2))) (neg.f64 (-.f64 (+.f64 (log1p.f64 N) (log.f64 N)) (sqrt.f64 (*.f64 (log1p.f64 N) (log.f64 N))))))
(/.f64 (/.f64 (-.f64 (log1p.f64 N) (log.f64 N)) (sqrt.f64 (-.f64 (sqrt.f64 (log1p.f64 N)) (sqrt.f64 (log.f64 N))))) (sqrt.f64 (-.f64 (sqrt.f64 (log1p.f64 N)) (sqrt.f64 (log.f64 N)))))
(/.f64 (/.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 1) (-.f64 (sqrt.f64 (log1p.f64 N)) (sqrt.f64 (log.f64 N))))
(/.f64 (/.f64 (-.f64 (log1p.f64 N) (log.f64 N)) (pow.f64 (cbrt.f64 (-.f64 (sqrt.f64 (log1p.f64 N)) (sqrt.f64 (log.f64 N)))) 2)) (cbrt.f64 (-.f64 (sqrt.f64 (log1p.f64 N)) (sqrt.f64 (log.f64 N)))))
(pow.f64 (+.f64 (sqrt.f64 (log1p.f64 N)) (sqrt.f64 (log.f64 N))) 1)
(pow.f64 (cbrt.f64 (+.f64 (sqrt.f64 (log1p.f64 N)) (sqrt.f64 (log.f64 N)))) 3)
(pow.f64 (pow.f64 (+.f64 (sqrt.f64 (log1p.f64 N)) (sqrt.f64 (log.f64 N))) 3) 1/3)
(pow.f64 (sqrt.f64 (+.f64 (sqrt.f64 (log1p.f64 N)) (sqrt.f64 (log.f64 N)))) 2)
(sqrt.f64 (pow.f64 (+.f64 (sqrt.f64 (log1p.f64 N)) (sqrt.f64 (log.f64 N))) 2))
(log.f64 (exp.f64 (+.f64 (sqrt.f64 (log1p.f64 N)) (sqrt.f64 (log.f64 N)))))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 (sqrt.f64 (log1p.f64 N)) (sqrt.f64 (log.f64 N))))))
(cbrt.f64 (pow.f64 (+.f64 (sqrt.f64 (log1p.f64 N)) (sqrt.f64 (log.f64 N))) 3))
(cbrt.f64 (/.f64 (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 3) (pow.f64 (-.f64 (sqrt.f64 (log1p.f64 N)) (sqrt.f64 (log.f64 N))) 3)))
(expm1.f64 (log1p.f64 (+.f64 (sqrt.f64 (log1p.f64 N)) (sqrt.f64 (log.f64 N)))))
(exp.f64 (log.f64 (+.f64 (sqrt.f64 (log1p.f64 N)) (sqrt.f64 (log.f64 N)))))
(exp.f64 (*.f64 (log.f64 (+.f64 (sqrt.f64 (log1p.f64 N)) (sqrt.f64 (log.f64 N)))) 1))
(log1p.f64 (expm1.f64 (+.f64 (sqrt.f64 (log1p.f64 N)) (sqrt.f64 (log.f64 N)))))
(fma.f64 1 (sqrt.f64 (log1p.f64 N)) (sqrt.f64 (log.f64 N)))
(fma.f64 1 (sqrt.f64 (log.f64 N)) (sqrt.f64 (log1p.f64 N)))
(fma.f64 (cbrt.f64 (log1p.f64 N)) (cbrt.f64 (sqrt.f64 (log1p.f64 N))) (sqrt.f64 (log.f64 N)))
(fma.f64 (cbrt.f64 (log.f64 N)) (cbrt.f64 (sqrt.f64 (log.f64 N))) (sqrt.f64 (log1p.f64 N)))
(fma.f64 (pow.f64 (log1p.f64 N) 1/4) (pow.f64 (log1p.f64 N) 1/4) (sqrt.f64 (log.f64 N)))
(fma.f64 (pow.f64 (log.f64 N) 1/4) (pow.f64 (log.f64 N) 1/4) (sqrt.f64 (log1p.f64 N)))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (log1p.f64 N)))) 1)
(*.f64 1 (sqrt.f64 (log1p.f64 N)))
(*.f64 (sqrt.f64 (log1p.f64 N)) 1)
(*.f64 (cbrt.f64 (sqrt.f64 (log1p.f64 N))) (cbrt.f64 (log1p.f64 N)))
(*.f64 (cbrt.f64 (log1p.f64 N)) (cbrt.f64 (sqrt.f64 (log1p.f64 N))))
(*.f64 (pow.f64 (log1p.f64 N) 1/4) (pow.f64 (log1p.f64 N) 1/4))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (log1p.f64 N)) 2)) (sqrt.f64 (cbrt.f64 (log1p.f64 N))))
(*.f64 (pow.f64 1 1/2) (sqrt.f64 (log1p.f64 N)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (log1p.f64 N)) 2) 1/2) (pow.f64 (cbrt.f64 (log1p.f64 N)) 1/2))
(pow.f64 (log1p.f64 N) 1/2)
(pow.f64 (sqrt.f64 (log1p.f64 N)) 1)
(pow.f64 (cbrt.f64 (sqrt.f64 (log1p.f64 N))) 3)
(pow.f64 (pow.f64 (log1p.f64 N) 1/4) 2)
(pow.f64 (pow.f64 (log1p.f64 N) 3/2) 1/3)
(fabs.f64 (sqrt.f64 (log1p.f64 N)))
(log.f64 (exp.f64 (sqrt.f64 (log1p.f64 N))))
(log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (log1p.f64 N)))))
(cbrt.f64 (pow.f64 (log1p.f64 N) 3/2))
(expm1.f64 (log1p.f64 (sqrt.f64 (log1p.f64 N))))
(exp.f64 (log.f64 (sqrt.f64 (log1p.f64 N))))
(exp.f64 (*.f64 (log.f64 (log1p.f64 N)) 1/2))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (log1p.f64 N))) 1))
(log1p.f64 (expm1.f64 (sqrt.f64 (log1p.f64 N))))
Outputs
(*.f64 -1 (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 (*.f64 -1/2 (*.f64 N N)) (-.f64 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 (fma.f64 1/3 (pow.f64 N 3) (*.f64 -1/2 (*.f64 N N))) (-.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 1 N) (-.f64 (/.f64 1/3 (pow.f64 N 3)) (/.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 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 (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 -1/2 (*.f64 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 (/.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 N) (+.f64 (/.f64 1/3 (pow.f64 N 3)) (/.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 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 -1/2 (*.f64 N N)) (/.f64 -1/4 (pow.f64 N 4)))))
(/.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)))
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(/.f64 (*.f64 (sqrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))) (/.f64 (sqrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))) (cbrt.f64 (-.f64 (sqrt.f64 (log1p.f64 N)) (sqrt.f64 (log.f64 N)))))) (pow.f64 (cbrt.f64 (-.f64 (sqrt.f64 (log1p.f64 N)) (sqrt.f64 (log.f64 N)))) 2))
(*.f64 (/.f64 (-.f64 (log1p.f64 N) (log.f64 N)) (-.f64 (log1p.f64 N) (log.f64 N))) (+.f64 (sqrt.f64 (log1p.f64 N)) (sqrt.f64 (log.f64 N))))
(+.f64 (sqrt.f64 (log.f64 N)) (sqrt.f64 (log1p.f64 N)))
(*.f64 (/.f64 (-.f64 (log1p.f64 N) (log.f64 N)) (-.f64 (pow.f64 (log1p.f64 N) 3/2) (pow.f64 (log.f64 N) 3/2))) (+.f64 (log1p.f64 N) (+.f64 (log.f64 N) (sqrt.f64 (*.f64 (log1p.f64 N) (log.f64 N))))))
(*.f64 (+.f64 (log1p.f64 N) (+.f64 (log.f64 N) (sqrt.f64 (*.f64 (log.f64 N) (log1p.f64 N))))) (/.f64 (-.f64 (log1p.f64 N) (log.f64 N)) (-.f64 (pow.f64 (log1p.f64 N) 3/2) (pow.f64 (log.f64 N) 3/2))))
(*.f64 (+.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (sqrt.f64 (*.f64 (log.f64 N) (log1p.f64 N)))) (/.f64 (-.f64 (log1p.f64 N) (log.f64 N)) (-.f64 (pow.f64 (log1p.f64 N) 3/2) (pow.f64 (log.f64 N) 3/2))))
(/.f64 1 (/.f64 (-.f64 (sqrt.f64 (log1p.f64 N)) (sqrt.f64 (log.f64 N))) (-.f64 (log1p.f64 N) (log.f64 N))))
(/.f64 (-.f64 (log1p.f64 N) (log.f64 N)) (-.f64 (sqrt.f64 (log1p.f64 N)) (sqrt.f64 (log.f64 N))))
(/.f64 1 (/.f64 (-.f64 (+.f64 (log1p.f64 N) (log.f64 N)) (sqrt.f64 (*.f64 (log1p.f64 N) (log.f64 N)))) (+.f64 (pow.f64 (log1p.f64 N) 3/2) (pow.f64 (log.f64 N) 3/2))))
(*.f64 (+.f64 (pow.f64 (log1p.f64 N) 3/2) (pow.f64 (log.f64 N) 3/2)) (/.f64 1 (+.f64 (log.f64 N) (-.f64 (log1p.f64 N) (sqrt.f64 (*.f64 (log.f64 N) (log1p.f64 N)))))))
(/.f64 (+.f64 (pow.f64 (log1p.f64 N) 3/2) (pow.f64 (log.f64 N) 3/2)) (+.f64 (log.f64 N) (-.f64 (log1p.f64 N) (sqrt.f64 (*.f64 (log.f64 N) (log1p.f64 N))))))
(/.f64 (-.f64 (log1p.f64 N) (log.f64 N)) (-.f64 (sqrt.f64 (log1p.f64 N)) (sqrt.f64 (log.f64 N))))
(/.f64 (cbrt.f64 (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 2)) (/.f64 (-.f64 (sqrt.f64 (log1p.f64 N)) (sqrt.f64 (log.f64 N))) (cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N)))))
(/.f64 (sqrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))) (/.f64 (-.f64 (sqrt.f64 (log1p.f64 N)) (sqrt.f64 (log.f64 N))) (sqrt.f64 (-.f64 (log1p.f64 N) (log.f64 N)))))
(/.f64 (-.f64 (log1p.f64 N) (log.f64 N)) (-.f64 (sqrt.f64 (log1p.f64 N)) (sqrt.f64 (log.f64 N))))
(/.f64 (+.f64 (pow.f64 (log1p.f64 N) 3/2) (pow.f64 (log.f64 N) 3/2)) (-.f64 (+.f64 (log1p.f64 N) (log.f64 N)) (sqrt.f64 (*.f64 (log1p.f64 N) (log.f64 N)))))
(*.f64 (+.f64 (pow.f64 (log1p.f64 N) 3/2) (pow.f64 (log.f64 N) 3/2)) (/.f64 1 (+.f64 (log.f64 N) (-.f64 (log1p.f64 N) (sqrt.f64 (*.f64 (log.f64 N) (log1p.f64 N)))))))
(/.f64 (+.f64 (pow.f64 (log1p.f64 N) 3/2) (pow.f64 (log.f64 N) 3/2)) (+.f64 (log.f64 N) (-.f64 (log1p.f64 N) (sqrt.f64 (*.f64 (log.f64 N) (log1p.f64 N))))))
(/.f64 (+.f64 (pow.f64 (log1p.f64 N) 3/2) (pow.f64 (log.f64 N) 3/2)) (+.f64 (log.f64 N) (-.f64 (log1p.f64 N) (sqrt.f64 (*.f64 (log1p.f64 N) (log.f64 N))))))
(*.f64 (+.f64 (pow.f64 (log1p.f64 N) 3/2) (pow.f64 (log.f64 N) 3/2)) (/.f64 1 (+.f64 (log.f64 N) (-.f64 (log1p.f64 N) (sqrt.f64 (*.f64 (log.f64 N) (log1p.f64 N)))))))
(/.f64 (+.f64 (pow.f64 (log1p.f64 N) 3/2) (pow.f64 (log.f64 N) 3/2)) (+.f64 (log.f64 N) (-.f64 (log1p.f64 N) (sqrt.f64 (*.f64 (log.f64 N) (log1p.f64 N))))))
(/.f64 (-.f64 (log.f64 N) (log1p.f64 N)) (-.f64 (sqrt.f64 (log.f64 N)) (sqrt.f64 (log1p.f64 N))))
(/.f64 (neg.f64 (-.f64 (log1p.f64 N) (log.f64 N))) (neg.f64 (-.f64 (sqrt.f64 (log1p.f64 N)) (sqrt.f64 (log.f64 N)))))
(/.f64 (-.f64 (log.f64 N) (log1p.f64 N)) (-.f64 (sqrt.f64 (log.f64 N)) (sqrt.f64 (log1p.f64 N))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (log1p.f64 N) 3/2) (pow.f64 (log.f64 N) 3/2))) (neg.f64 (-.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) 3/2) (pow.f64 (log.f64 N) 3/2))) (neg.f64 (+.f64 (log.f64 N) (-.f64 (log1p.f64 N) (sqrt.f64 (*.f64 (log.f64 N) (log1p.f64 N)))))))
(/.f64 (-.f64 (neg.f64 (pow.f64 (log1p.f64 N) 3/2)) (pow.f64 (log.f64 N) 3/2)) (-.f64 (neg.f64 (log.f64 N)) (-.f64 (log1p.f64 N) (sqrt.f64 (*.f64 (log.f64 N) (log1p.f64 N))))))
(/.f64 (/.f64 (-.f64 (log1p.f64 N) (log.f64 N)) (sqrt.f64 (-.f64 (sqrt.f64 (log1p.f64 N)) (sqrt.f64 (log.f64 N))))) (sqrt.f64 (-.f64 (sqrt.f64 (log1p.f64 N)) (sqrt.f64 (log.f64 N)))))
(/.f64 (-.f64 (log1p.f64 N) (log.f64 N)) (-.f64 (sqrt.f64 (log1p.f64 N)) (sqrt.f64 (log.f64 N))))
(/.f64 (/.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 1) (-.f64 (sqrt.f64 (log1p.f64 N)) (sqrt.f64 (log.f64 N))))
(/.f64 (-.f64 (log1p.f64 N) (log.f64 N)) (-.f64 (sqrt.f64 (log1p.f64 N)) (sqrt.f64 (log.f64 N))))
(/.f64 (/.f64 (-.f64 (log1p.f64 N) (log.f64 N)) (pow.f64 (cbrt.f64 (-.f64 (sqrt.f64 (log1p.f64 N)) (sqrt.f64 (log.f64 N)))) 2)) (cbrt.f64 (-.f64 (sqrt.f64 (log1p.f64 N)) (sqrt.f64 (log.f64 N)))))
(/.f64 (-.f64 (log1p.f64 N) (log.f64 N)) (-.f64 (sqrt.f64 (log1p.f64 N)) (sqrt.f64 (log.f64 N))))
(pow.f64 (+.f64 (sqrt.f64 (log1p.f64 N)) (sqrt.f64 (log.f64 N))) 1)
(+.f64 (sqrt.f64 (log.f64 N)) (sqrt.f64 (log1p.f64 N)))
(pow.f64 (cbrt.f64 (+.f64 (sqrt.f64 (log1p.f64 N)) (sqrt.f64 (log.f64 N)))) 3)
(+.f64 (sqrt.f64 (log.f64 N)) (sqrt.f64 (log1p.f64 N)))
(pow.f64 (pow.f64 (+.f64 (sqrt.f64 (log1p.f64 N)) (sqrt.f64 (log.f64 N))) 3) 1/3)
(+.f64 (sqrt.f64 (log.f64 N)) (sqrt.f64 (log1p.f64 N)))
(pow.f64 (sqrt.f64 (+.f64 (sqrt.f64 (log1p.f64 N)) (sqrt.f64 (log.f64 N)))) 2)
(+.f64 (sqrt.f64 (log.f64 N)) (sqrt.f64 (log1p.f64 N)))
(sqrt.f64 (pow.f64 (+.f64 (sqrt.f64 (log1p.f64 N)) (sqrt.f64 (log.f64 N))) 2))
(sqrt.f64 (pow.f64 (+.f64 (sqrt.f64 (log.f64 N)) (sqrt.f64 (log1p.f64 N))) 2))
(fabs.f64 (+.f64 (sqrt.f64 (log.f64 N)) (sqrt.f64 (log1p.f64 N))))
(log.f64 (exp.f64 (+.f64 (sqrt.f64 (log1p.f64 N)) (sqrt.f64 (log.f64 N)))))
(+.f64 (sqrt.f64 (log.f64 N)) (sqrt.f64 (log1p.f64 N)))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 (sqrt.f64 (log1p.f64 N)) (sqrt.f64 (log.f64 N))))))
(+.f64 (sqrt.f64 (log.f64 N)) (sqrt.f64 (log1p.f64 N)))
(cbrt.f64 (pow.f64 (+.f64 (sqrt.f64 (log1p.f64 N)) (sqrt.f64 (log.f64 N))) 3))
(+.f64 (sqrt.f64 (log.f64 N)) (sqrt.f64 (log1p.f64 N)))
(cbrt.f64 (/.f64 (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 3) (pow.f64 (-.f64 (sqrt.f64 (log1p.f64 N)) (sqrt.f64 (log.f64 N))) 3)))
(expm1.f64 (log1p.f64 (+.f64 (sqrt.f64 (log1p.f64 N)) (sqrt.f64 (log.f64 N)))))
(+.f64 (sqrt.f64 (log.f64 N)) (sqrt.f64 (log1p.f64 N)))
(exp.f64 (log.f64 (+.f64 (sqrt.f64 (log1p.f64 N)) (sqrt.f64 (log.f64 N)))))
(+.f64 (sqrt.f64 (log.f64 N)) (sqrt.f64 (log1p.f64 N)))
(exp.f64 (*.f64 (log.f64 (+.f64 (sqrt.f64 (log1p.f64 N)) (sqrt.f64 (log.f64 N)))) 1))
(+.f64 (sqrt.f64 (log.f64 N)) (sqrt.f64 (log1p.f64 N)))
(log1p.f64 (expm1.f64 (+.f64 (sqrt.f64 (log1p.f64 N)) (sqrt.f64 (log.f64 N)))))
(+.f64 (sqrt.f64 (log.f64 N)) (sqrt.f64 (log1p.f64 N)))
(fma.f64 1 (sqrt.f64 (log1p.f64 N)) (sqrt.f64 (log.f64 N)))
(+.f64 (sqrt.f64 (log.f64 N)) (sqrt.f64 (log1p.f64 N)))
(fma.f64 1 (sqrt.f64 (log.f64 N)) (sqrt.f64 (log1p.f64 N)))
(+.f64 (sqrt.f64 (log.f64 N)) (sqrt.f64 (log1p.f64 N)))
(fma.f64 (cbrt.f64 (log1p.f64 N)) (cbrt.f64 (sqrt.f64 (log1p.f64 N))) (sqrt.f64 (log.f64 N)))
(fma.f64 (cbrt.f64 (log.f64 N)) (cbrt.f64 (sqrt.f64 (log.f64 N))) (sqrt.f64 (log1p.f64 N)))
(fma.f64 (pow.f64 (log1p.f64 N) 1/4) (pow.f64 (log1p.f64 N) 1/4) (sqrt.f64 (log.f64 N)))
(+.f64 (sqrt.f64 (log.f64 N)) (sqrt.f64 (log1p.f64 N)))
(fma.f64 (pow.f64 (log.f64 N) 1/4) (pow.f64 (log.f64 N) 1/4) (sqrt.f64 (log1p.f64 N)))
(+.f64 (pow.f64 (log.f64 N) 1/2) (sqrt.f64 (log1p.f64 N)))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (log1p.f64 N)))) 1)
(sqrt.f64 (log1p.f64 N))
(*.f64 1 (sqrt.f64 (log1p.f64 N)))
(sqrt.f64 (log1p.f64 N))
(*.f64 (sqrt.f64 (log1p.f64 N)) 1)
(sqrt.f64 (log1p.f64 N))
(*.f64 (cbrt.f64 (sqrt.f64 (log1p.f64 N))) (cbrt.f64 (log1p.f64 N)))
(*.f64 (cbrt.f64 (log1p.f64 N)) (cbrt.f64 (sqrt.f64 (log1p.f64 N))))
(*.f64 (cbrt.f64 (log1p.f64 N)) (cbrt.f64 (sqrt.f64 (log1p.f64 N))))
(*.f64 (pow.f64 (log1p.f64 N) 1/4) (pow.f64 (log1p.f64 N) 1/4))
(sqrt.f64 (log1p.f64 N))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (log1p.f64 N)) 2)) (sqrt.f64 (cbrt.f64 (log1p.f64 N))))
(*.f64 (fabs.f64 (cbrt.f64 (log1p.f64 N))) (sqrt.f64 (cbrt.f64 (log1p.f64 N))))
(*.f64 (pow.f64 1 1/2) (sqrt.f64 (log1p.f64 N)))
(sqrt.f64 (log1p.f64 N))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (log1p.f64 N)) 2) 1/2) (pow.f64 (cbrt.f64 (log1p.f64 N)) 1/2))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (log1p.f64 N)) 2)) (sqrt.f64 (cbrt.f64 (log1p.f64 N))))
(*.f64 (fabs.f64 (cbrt.f64 (log1p.f64 N))) (sqrt.f64 (cbrt.f64 (log1p.f64 N))))
(pow.f64 (log1p.f64 N) 1/2)
(sqrt.f64 (log1p.f64 N))
(pow.f64 (sqrt.f64 (log1p.f64 N)) 1)
(sqrt.f64 (log1p.f64 N))
(pow.f64 (cbrt.f64 (sqrt.f64 (log1p.f64 N))) 3)
(sqrt.f64 (log1p.f64 N))
(pow.f64 (pow.f64 (log1p.f64 N) 1/4) 2)
(sqrt.f64 (log1p.f64 N))
(pow.f64 (pow.f64 (log1p.f64 N) 3/2) 1/3)
(cbrt.f64 (pow.f64 (log1p.f64 N) 3/2))
(fabs.f64 (sqrt.f64 (log1p.f64 N)))
(sqrt.f64 (log1p.f64 N))
(log.f64 (exp.f64 (sqrt.f64 (log1p.f64 N))))
(sqrt.f64 (log1p.f64 N))
(log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (log1p.f64 N)))))
(sqrt.f64 (log1p.f64 N))
(cbrt.f64 (pow.f64 (log1p.f64 N) 3/2))
(expm1.f64 (log1p.f64 (sqrt.f64 (log1p.f64 N))))
(sqrt.f64 (log1p.f64 N))
(exp.f64 (log.f64 (sqrt.f64 (log1p.f64 N))))
(sqrt.f64 (log1p.f64 N))
(exp.f64 (*.f64 (log.f64 (log1p.f64 N)) 1/2))
(sqrt.f64 (log1p.f64 N))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (log1p.f64 N))) 1))
(sqrt.f64 (log1p.f64 N))
(log1p.f64 (expm1.f64 (sqrt.f64 (log1p.f64 N))))
(sqrt.f64 (log1p.f64 N))

eval439.0ms (3.6%)

Compiler

Compiled 18603 to 10645 computations (42.8% saved)

prune106.0ms (0.9%)

Pruning

9 alts after pruning (4 fresh and 5 done)

PrunedKeptTotal
New5791580
Fresh033
Picked055
Done000
Total5799588
Accurracy
100.0%
Counts
588 → 9
Alt Table
Click to see full alt table
StatusAccuracyProgram
48.6%
(/.f64 1 N)
46.6%
(-.f64 (/.f64 1 N) (/.f64 (/.f64 1/2 N) N))
46.6%
(-.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))))
54.7%
(-.f64 N (log.f64 N))
47.6%
(+.f64 (/.f64 1 N) (-.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 1/2 (*.f64 N N))))
4.1%
(*.f64 (+.f64 (sqrt.f64 (log1p.f64 N)) (sqrt.f64 (log.f64 N))) (-.f64 (sqrt.f64 (log1p.f64 N)) (sqrt.f64 (log.f64 N))))
57.5%
(neg.f64 (log.f64 (/.f64 N (+.f64 N 1))))
53.4%
(neg.f64 (log.f64 N))
57.5%
(log.f64 (/.f64 (+.f64 N 1) N))
48.6%
(/.f64 1 N)
46.6%
(-.f64 (/.f64 1 N) (/.f64 (/.f64 1/2 N) N))
46.6%
(-.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))))
54.7%
(-.f64 N (log.f64 N))
47.6%
(+.f64 (/.f64 1 N) (-.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 1/2 (*.f64 N N))))
4.1%
(*.f64 (+.f64 (sqrt.f64 (log1p.f64 N)) (sqrt.f64 (log.f64 N))) (-.f64 (sqrt.f64 (log1p.f64 N)) (sqrt.f64 (log.f64 N))))
57.5%
(neg.f64 (log.f64 (/.f64 N (+.f64 N 1))))
53.4%
(neg.f64 (log.f64 N))
57.5%
(log.f64 (/.f64 (+.f64 N 1) N))
Compiler

Compiled 184 to 128 computations (30.4% saved)

localize1.3s (10.4%)

Local Accuracy

Found 9 expressions with local accuracy:

NewAccuracyProgram
100.0%
(-.f64 (/.f64 1 N) (/.f64 (/.f64 1/2 N) N))
99.9%
(/.f64 (/.f64 1/2 N) N)
99.9%
(/.f64 1/4 (pow.f64 N 4))
99.9%
(/.f64 1/2 (*.f64 N N))
99.8%
(/.f64 1/3 (pow.f64 N 3))
67.6%
(-.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))))
100.0%
(-.f64 N (log.f64 N))
100.0%
(/.f64 N (+.f64 N 1))
99.1%
(log.f64 (/.f64 N (+.f64 N 1)))
Compiler

Compiled 130 to 86 computations (33.8% saved)

series33.0ms (0.3%)

Counts
7 → 72
Calls

21 calls:

TimeVariablePointExpression
15.0ms
N
@0
(-.f64 N (log.f64 N))
11.0ms
N
@-inf
(-.f64 N (log.f64 N))
2.0ms
N
@inf
(-.f64 N (log.f64 N))
1.0ms
N
@inf
(log.f64 (/.f64 N (+.f64 N 1)))
1.0ms
N
@-inf
(log.f64 (/.f64 N (+.f64 N 1)))

rewrite100.0ms (0.8%)

Algorithm
batch-egg-rewrite
Rules
654×add-sqr-sqrt
632×pow1
628×*-un-lft-identity
626×add-exp-log
622×add-log-exp
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
028147
1682137
Stop Event
node limit
Counts
7 → 212
Calls
Call 1
Inputs
(log.f64 (/.f64 N (+.f64 N 1)))
(/.f64 N (+.f64 N 1))
(-.f64 N (log.f64 N))
(-.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))
Outputs
(+.f64 (log.f64 N) (log.f64 (/.f64 1 (+.f64 N 1))))
(+.f64 0 (-.f64 (log.f64 N) (log1p.f64 N)))
(+.f64 (log.f64 (sqrt.f64 (/.f64 N (+.f64 N 1)))) (log.f64 (sqrt.f64 (/.f64 N (+.f64 N 1)))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (/.f64 N (+.f64 N 1))) 2)) (log.f64 (cbrt.f64 (/.f64 N (+.f64 N 1)))))
(-.f64 (log.f64 N) (log1p.f64 N))
(-.f64 0 (log.f64 (/.f64 (+.f64 N 1) N)))
(-.f64 (log.f64 (neg.f64 N)) (log.f64 (neg.f64 (+.f64 N 1))))
(-.f64 (exp.f64 (log1p.f64 (-.f64 (log.f64 N) (log1p.f64 N)))) 1)
(*.f64 1 (-.f64 (log.f64 N) (log1p.f64 N)))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 (log.f64 N) (log1p.f64 N))) 2) (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)
(pow.f64 (cbrt.f64 (-.f64 (log.f64 N) (log1p.f64 N))) 3)
(pow.f64 (pow.f64 (-.f64 (log.f64 N) (log1p.f64 N)) 3) 1/3)
(pow.f64 (sqrt.f64 (-.f64 (log.f64 N) (log1p.f64 N))) 2)
(neg.f64 (log.f64 (/.f64 (+.f64 N 1) N)))
(sqrt.f64 (pow.f64 (-.f64 (log.f64 N) (log1p.f64 N)) 2))
(cbrt.f64 (pow.f64 (-.f64 (log.f64 N) (log1p.f64 N)) 3))
(expm1.f64 (log1p.f64 (-.f64 (log.f64 N) (log1p.f64 N))))
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(fma.f64 1 (/.f64 1 N) (-.f64 (*.f64 1/3 (pow.f64 N -3)) (fma.f64 1/2 (pow.f64 N -2) (*.f64 1/4 (pow.f64 N -4)))))
(fma.f64 1 (fma.f64 1/3 (pow.f64 N -3) (/.f64 1 N)) (neg.f64 (fma.f64 1/2 (pow.f64 N -2) (*.f64 1/4 (pow.f64 N -4)))))
(fma.f64 (cbrt.f64 (pow.f64 N -2)) (cbrt.f64 (/.f64 1 N)) (-.f64 (*.f64 1/3 (pow.f64 N -3)) (fma.f64 1/2 (pow.f64 N -2) (*.f64 1/4 (pow.f64 N -4)))))
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 1/3 (pow.f64 N -3) (/.f64 1 N))) 2) (cbrt.f64 (fma.f64 1/3 (pow.f64 N -3) (/.f64 1 N))) (neg.f64 (fma.f64 1/2 (pow.f64 N -2) (*.f64 1/4 (pow.f64 N -4)))))
(fma.f64 (pow.f64 N -1/2) (pow.f64 N -1/2) (-.f64 (*.f64 1/3 (pow.f64 N -3)) (fma.f64 1/2 (pow.f64 N -2) (*.f64 1/4 (pow.f64 N -4)))))
(fma.f64 (sqrt.f64 (fma.f64 1/3 (pow.f64 N -3) (/.f64 1 N))) (sqrt.f64 (fma.f64 1/3 (pow.f64 N -3) (/.f64 1 N))) (neg.f64 (fma.f64 1/2 (pow.f64 N -2) (*.f64 1/4 (pow.f64 N -4)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 1/4 (pow.f64 N -4)))) 1)
(*.f64 1 (*.f64 1/4 (pow.f64 N -4)))
(*.f64 (*.f64 1/2 (pow.f64 N -2)) (*.f64 1/2 (pow.f64 N -2)))
(*.f64 1/4 (pow.f64 N -4))
(*.f64 (cbrt.f64 (/.f64 1/16 (pow.f64 N 8))) (cbrt.f64 (*.f64 1/4 (pow.f64 N -4))))
(pow.f64 (*.f64 1/2 (pow.f64 N -2)) 2)
(pow.f64 (*.f64 1/4 (pow.f64 N -4)) 1)
(pow.f64 (cbrt.f64 (*.f64 1/4 (pow.f64 N -4))) 3)
(pow.f64 (*.f64 1/64 (pow.f64 (pow.f64 N -4) 3)) 1/3)
(pow.f64 (/.f64 (pow.f64 N 4) 1/4) -1)
(sqrt.f64 (/.f64 1/16 (pow.f64 N 8)))
(log.f64 (pow.f64 (exp.f64 1/4) (pow.f64 N -4)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 1/4 (pow.f64 N -4)))))
(cbrt.f64 (*.f64 1/64 (pow.f64 (pow.f64 N -4) 3)))
(expm1.f64 (log1p.f64 (*.f64 1/4 (pow.f64 N -4))))
(exp.f64 (log.f64 (*.f64 1/4 (pow.f64 N -4))))
(exp.f64 (*.f64 (log.f64 (*.f64 1/4 (pow.f64 N -4))) 1))
(log1p.f64 (expm1.f64 (*.f64 1/4 (pow.f64 N -4))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 1/2 (pow.f64 N -2)))) 1)
(*.f64 1 (*.f64 1/2 (pow.f64 N -2)))
(*.f64 1/2 (pow.f64 N -2))
(*.f64 1/2 (sqrt.f64 (pow.f64 N -4)))
(*.f64 (/.f64 1/2 N) (/.f64 1 N))
(*.f64 (cbrt.f64 (*.f64 1/4 (pow.f64 N -4))) (cbrt.f64 (*.f64 1/2 (pow.f64 N -2))))
(*.f64 (/.f64 (sqrt.f64 1/2) N) (/.f64 (sqrt.f64 1/2) N))
(*.f64 (sqrt.f64 (cbrt.f64 (/.f64 1/16 (pow.f64 N 8)))) (sqrt.f64 (cbrt.f64 (*.f64 1/4 (pow.f64 N -4)))))
(pow.f64 (*.f64 1/2 (pow.f64 N -2)) 1)
(pow.f64 (*.f64 1/4 (pow.f64 N -4)) 1/2)
(pow.f64 (cbrt.f64 (*.f64 1/2 (pow.f64 N -2))) 3)
(pow.f64 (/.f64 1/8 (pow.f64 N 6)) 1/3)
(pow.f64 (/.f64 (sqrt.f64 1/2) N) 2)
(pow.f64 (/.f64 N (/.f64 1/2 N)) -1)
(pow.f64 (/.f64 (*.f64 N N) 1/2) -1)
(sqrt.f64 (*.f64 1/4 (pow.f64 N -4)))
(fabs.f64 (*.f64 1/2 (pow.f64 N -2)))
(log.f64 (pow.f64 (exp.f64 1/2) (pow.f64 N -2)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 1/2 (pow.f64 N -2)))))
(cbrt.f64 (/.f64 1/8 (pow.f64 N 6)))
(expm1.f64 (log1p.f64 (*.f64 1/2 (pow.f64 N -2))))
(exp.f64 (log.f64 (*.f64 1/2 (pow.f64 N -2))))
(exp.f64 (*.f64 (log.f64 (*.f64 1/2 (pow.f64 N -2))) 1))
(log1p.f64 (expm1.f64 (*.f64 1/2 (pow.f64 N -2))))
(+.f64 (/.f64 1 N) (neg.f64 (*.f64 1/2 (pow.f64 N -2))))
(+.f64 (/.f64 (-.f64 1 (/.f64 1/2 N)) N) (fma.f64 (neg.f64 (/.f64 (sqrt.f64 1/2) N)) (/.f64 (sqrt.f64 1/2) N) (*.f64 1/2 (pow.f64 N -2))))
(+.f64 (fma.f64 1 (/.f64 1 N) (neg.f64 (*.f64 (*.f64 1/2 (pow.f64 N -2)) 1))) (fma.f64 (neg.f64 (*.f64 1/2 (pow.f64 N -2))) 1 (*.f64 (*.f64 1/2 (pow.f64 N -2)) 1)))
(+.f64 (fma.f64 1 (/.f64 1 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 1 (/.f64 1 N) (neg.f64 (*.f64 (/.f64 1 N) (/.f64 1/2 N)))) (fma.f64 (neg.f64 (/.f64 1 N)) (/.f64 1/2 N) (*.f64 (/.f64 1 N) (/.f64 1/2 N))))
(+.f64 (fma.f64 1 (/.f64 1 N) (neg.f64 (*.f64 (cbrt.f64 (*.f64 1/2 (pow.f64 N -2))) (cbrt.f64 (*.f64 1/4 (pow.f64 N -4)))))) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 1/2 (pow.f64 N -2)))) (cbrt.f64 (*.f64 1/4 (pow.f64 N -4))) (*.f64 (cbrt.f64 (*.f64 1/2 (pow.f64 N -2))) (cbrt.f64 (*.f64 1/4 (pow.f64 N -4))))))
(+.f64 (fma.f64 (cbrt.f64 (pow.f64 N -2)) (cbrt.f64 (/.f64 1 N)) (neg.f64 (*.f64 (*.f64 1/2 (pow.f64 N -2)) 1))) (fma.f64 (neg.f64 (*.f64 1/2 (pow.f64 N -2))) 1 (*.f64 (*.f64 1/2 (pow.f64 N -2)) 1)))
(+.f64 (fma.f64 (cbrt.f64 (pow.f64 N -2)) (cbrt.f64 (/.f64 1 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 (cbrt.f64 (pow.f64 N -2)) (cbrt.f64 (/.f64 1 N)) (neg.f64 (*.f64 (/.f64 1 N) (/.f64 1/2 N)))) (fma.f64 (neg.f64 (/.f64 1 N)) (/.f64 1/2 N) (*.f64 (/.f64 1 N) (/.f64 1/2 N))))
(+.f64 (fma.f64 (cbrt.f64 (pow.f64 N -2)) (cbrt.f64 (/.f64 1 N)) (neg.f64 (*.f64 (cbrt.f64 (*.f64 1/2 (pow.f64 N -2))) (cbrt.f64 (*.f64 1/4 (pow.f64 N -4)))))) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 1/2 (pow.f64 N -2)))) (cbrt.f64 (*.f64 1/4 (pow.f64 N -4))) (*.f64 (cbrt.f64 (*.f64 1/2 (pow.f64 N -2))) (cbrt.f64 (*.f64 1/4 (pow.f64 N -4))))))
(+.f64 (fma.f64 (pow.f64 N -1/2) (pow.f64 N -1/2) (neg.f64 (*.f64 (*.f64 1/2 (pow.f64 N -2)) 1))) (fma.f64 (neg.f64 (*.f64 1/2 (pow.f64 N -2))) 1 (*.f64 (*.f64 1/2 (pow.f64 N -2)) 1)))
(+.f64 (fma.f64 (pow.f64 N -1/2) (pow.f64 N -1/2) (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 (pow.f64 N -1/2) (pow.f64 N -1/2) (neg.f64 (*.f64 (/.f64 1 N) (/.f64 1/2 N)))) (fma.f64 (neg.f64 (/.f64 1 N)) (/.f64 1/2 N) (*.f64 (/.f64 1 N) (/.f64 1/2 N))))
(+.f64 (fma.f64 (pow.f64 N -1/2) (pow.f64 N -1/2) (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 1 (/.f64 (-.f64 1 (/.f64 1/2 N)) N))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 1 (/.f64 1/2 N)) N)) 2) (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 N -3) (/.f64 1/8 (pow.f64 N 6))) (+.f64 (pow.f64 N -2) (+.f64 (*.f64 1/4 (pow.f64 N -4)) (/.f64 1/2 (pow.f64 N 3)))))
(/.f64 (-.f64 (pow.f64 N -2) (*.f64 1/4 (pow.f64 N -4))) (+.f64 (/.f64 1 N) (*.f64 1/2 (pow.f64 N -2))))
(/.f64 (-.f64 -1 (neg.f64 (/.f64 1/2 N))) (neg.f64 N))
(/.f64 (-.f64 (/.f64 N (/.f64 1/2 N)) (*.f64 N 1)) (*.f64 N (/.f64 N (/.f64 1/2 N))))
(/.f64 (-.f64 (/.f64 (*.f64 N N) 1/2) (*.f64 N 1)) (*.f64 N (/.f64 (*.f64 N N) 1/2)))
(/.f64 (-.f64 (*.f64 N N) (*.f64 N 1/2)) (pow.f64 N 3))
(/.f64 (-.f64 (neg.f64 N) (*.f64 N (neg.f64 (/.f64 1/2 N)))) (*.f64 N (neg.f64 N)))
(/.f64 (-.f64 (neg.f64 (*.f64 N N)) (*.f64 N -1/2)) (*.f64 N (neg.f64 (*.f64 N N))))
(/.f64 (-.f64 (/.f64 N (/.f64 1/2 N)) (*.f64 (/.f64 N 1) 1)) (*.f64 (/.f64 N 1) (/.f64 N (/.f64 1/2 N))))
(/.f64 (-.f64 (/.f64 (*.f64 N N) 1/2) (*.f64 (/.f64 N 1) 1)) (*.f64 (/.f64 N 1) (/.f64 (*.f64 N N) 1/2)))
(/.f64 (-.f64 (*.f64 N N) (*.f64 (/.f64 N 1) 1/2)) (*.f64 (/.f64 N 1) (*.f64 N N)))
(/.f64 (-.f64 N (*.f64 (/.f64 N 1) (/.f64 1/2 N))) (*.f64 (/.f64 N 1) N))
(/.f64 (-.f64 (neg.f64 N) (*.f64 (/.f64 N 1) (neg.f64 (/.f64 1/2 N)))) (*.f64 (/.f64 N 1) (neg.f64 N)))
(/.f64 (-.f64 (neg.f64 (*.f64 N N)) (*.f64 (/.f64 N 1) -1/2)) (*.f64 (/.f64 N 1) (neg.f64 (*.f64 N N))))
(/.f64 (-.f64 (*.f64 -1 (/.f64 N (/.f64 1/2 N))) (*.f64 (neg.f64 N) 1)) (*.f64 (neg.f64 N) (/.f64 N (/.f64 1/2 N))))
(/.f64 (-.f64 (*.f64 -1 (/.f64 (*.f64 N N) 1/2)) (*.f64 (neg.f64 N) 1)) (*.f64 (neg.f64 N) (/.f64 (*.f64 N N) 1/2)))
(/.f64 (-.f64 (*.f64 -1 (*.f64 N N)) (*.f64 (neg.f64 N) 1/2)) (*.f64 (neg.f64 N) (*.f64 N N)))
(/.f64 (-.f64 (*.f64 -1 N) (*.f64 (neg.f64 N) (/.f64 1/2 N))) (*.f64 (neg.f64 N) N))
(/.f64 (-.f64 (*.f64 -1 (neg.f64 N)) (*.f64 (neg.f64 N) (neg.f64 (/.f64 1/2 N)))) (*.f64 (neg.f64 N) (neg.f64 N)))
(/.f64 (-.f64 (*.f64 -1 (neg.f64 (*.f64 N N))) (*.f64 (neg.f64 N) -1/2)) (*.f64 (neg.f64 N) (neg.f64 (*.f64 N N))))
(pow.f64 (/.f64 (-.f64 1 (/.f64 1/2 N)) N) 1)
(pow.f64 (cbrt.f64 (/.f64 (-.f64 1 (/.f64 1/2 N)) N)) 3)
(pow.f64 (pow.f64 (/.f64 (-.f64 1 (/.f64 1/2 N)) N) 3) 1/3)
(pow.f64 (sqrt.f64 (/.f64 (-.f64 1 (/.f64 1/2 N)) N)) 2)
(sqrt.f64 (pow.f64 (/.f64 (-.f64 1 (/.f64 1/2 N)) N) 2))
(log.f64 (exp.f64 (/.f64 (-.f64 1 (/.f64 1/2 N)) N)))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (-.f64 1 (/.f64 1/2 N)) N))))
(cbrt.f64 (pow.f64 (/.f64 (-.f64 1 (/.f64 1/2 N)) N) 3))
(expm1.f64 (log1p.f64 (/.f64 (-.f64 1 (/.f64 1/2 N)) N)))
(exp.f64 (log.f64 (/.f64 (-.f64 1 (/.f64 1/2 N)) N)))
(exp.f64 (*.f64 (log.f64 (/.f64 (-.f64 1 (/.f64 1/2 N)) N)) 1))
(log1p.f64 (expm1.f64 (/.f64 (-.f64 1 (/.f64 1/2 N)) N)))
(fma.f64 1 (/.f64 1 N) (neg.f64 (*.f64 1/2 (pow.f64 N -2))))
(fma.f64 (cbrt.f64 (pow.f64 N -2)) (cbrt.f64 (/.f64 1 N)) (neg.f64 (*.f64 1/2 (pow.f64 N -2))))
(fma.f64 (pow.f64 N -1/2) (pow.f64 N -1/2) (neg.f64 (*.f64 1/2 (pow.f64 N -2))))

simplify275.0ms (2.2%)

Algorithm
egg-herbie
Rules
1564×fma-neg
800×fma-def
692×log-prod
520×associate-*r*
512×associate-*l*
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
062911020
117889446
270789418
Stop Event
node limit
Counts
284 → 358
Calls
Call 1
Inputs
(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 -1 (log.f64 N))
(+.f64 N (*.f64 -1 (log.f64 N)))
(+.f64 N (*.f64 -1 (log.f64 N)))
(+.f64 N (*.f64 -1 (log.f64 N)))
N
(+.f64 N (log.f64 (/.f64 1 N)))
(+.f64 N (log.f64 (/.f64 1 N)))
(+.f64 N (log.f64 (/.f64 1 N)))
N
(+.f64 N (*.f64 -1 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 N))))))
(+.f64 N (*.f64 -1 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 N))))))
(+.f64 N (*.f64 -1 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 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 (/.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))))
(+.f64 (log.f64 N) (log.f64 (/.f64 1 (+.f64 N 1))))
(+.f64 0 (-.f64 (log.f64 N) (log1p.f64 N)))
(+.f64 (log.f64 (sqrt.f64 (/.f64 N (+.f64 N 1)))) (log.f64 (sqrt.f64 (/.f64 N (+.f64 N 1)))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (/.f64 N (+.f64 N 1))) 2)) (log.f64 (cbrt.f64 (/.f64 N (+.f64 N 1)))))
(-.f64 (log.f64 N) (log1p.f64 N))
(-.f64 0 (log.f64 (/.f64 (+.f64 N 1) N)))
(-.f64 (log.f64 (neg.f64 N)) (log.f64 (neg.f64 (+.f64 N 1))))
(-.f64 (exp.f64 (log1p.f64 (-.f64 (log.f64 N) (log1p.f64 N)))) 1)
(*.f64 1 (-.f64 (log.f64 N) (log1p.f64 N)))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 (log.f64 N) (log1p.f64 N))) 2) (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)
(pow.f64 (cbrt.f64 (-.f64 (log.f64 N) (log1p.f64 N))) 3)
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(exp.f64 (*.f64 (log.f64 (-.f64 (fma.f64 1/3 (pow.f64 N -3) (/.f64 1 N)) (fma.f64 1/2 (pow.f64 N -2) (*.f64 1/4 (pow.f64 N -4))))) 1))
(log1p.f64 (expm1.f64 (-.f64 (fma.f64 1/3 (pow.f64 N -3) (/.f64 1 N)) (fma.f64 1/2 (pow.f64 N -2) (*.f64 1/4 (pow.f64 N -4))))))
(fma.f64 1 (/.f64 1 N) (-.f64 (*.f64 1/3 (pow.f64 N -3)) (fma.f64 1/2 (pow.f64 N -2) (*.f64 1/4 (pow.f64 N -4)))))
(fma.f64 1 (fma.f64 1/3 (pow.f64 N -3) (/.f64 1 N)) (neg.f64 (fma.f64 1/2 (pow.f64 N -2) (*.f64 1/4 (pow.f64 N -4)))))
(fma.f64 (cbrt.f64 (pow.f64 N -2)) (cbrt.f64 (/.f64 1 N)) (-.f64 (*.f64 1/3 (pow.f64 N -3)) (fma.f64 1/2 (pow.f64 N -2) (*.f64 1/4 (pow.f64 N -4)))))
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 1/3 (pow.f64 N -3) (/.f64 1 N))) 2) (cbrt.f64 (fma.f64 1/3 (pow.f64 N -3) (/.f64 1 N))) (neg.f64 (fma.f64 1/2 (pow.f64 N -2) (*.f64 1/4 (pow.f64 N -4)))))
(fma.f64 (pow.f64 N -1/2) (pow.f64 N -1/2) (-.f64 (*.f64 1/3 (pow.f64 N -3)) (fma.f64 1/2 (pow.f64 N -2) (*.f64 1/4 (pow.f64 N -4)))))
(fma.f64 (sqrt.f64 (fma.f64 1/3 (pow.f64 N -3) (/.f64 1 N))) (sqrt.f64 (fma.f64 1/3 (pow.f64 N -3) (/.f64 1 N))) (neg.f64 (fma.f64 1/2 (pow.f64 N -2) (*.f64 1/4 (pow.f64 N -4)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 1/4 (pow.f64 N -4)))) 1)
(*.f64 1 (*.f64 1/4 (pow.f64 N -4)))
(*.f64 (*.f64 1/2 (pow.f64 N -2)) (*.f64 1/2 (pow.f64 N -2)))
(*.f64 1/4 (pow.f64 N -4))
(*.f64 (cbrt.f64 (/.f64 1/16 (pow.f64 N 8))) (cbrt.f64 (*.f64 1/4 (pow.f64 N -4))))
(pow.f64 (*.f64 1/2 (pow.f64 N -2)) 2)
(pow.f64 (*.f64 1/4 (pow.f64 N -4)) 1)
(pow.f64 (cbrt.f64 (*.f64 1/4 (pow.f64 N -4))) 3)
(pow.f64 (*.f64 1/64 (pow.f64 (pow.f64 N -4) 3)) 1/3)
(pow.f64 (/.f64 (pow.f64 N 4) 1/4) -1)
(sqrt.f64 (/.f64 1/16 (pow.f64 N 8)))
(log.f64 (pow.f64 (exp.f64 1/4) (pow.f64 N -4)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 1/4 (pow.f64 N -4)))))
(cbrt.f64 (*.f64 1/64 (pow.f64 (pow.f64 N -4) 3)))
(expm1.f64 (log1p.f64 (*.f64 1/4 (pow.f64 N -4))))
(exp.f64 (log.f64 (*.f64 1/4 (pow.f64 N -4))))
(exp.f64 (*.f64 (log.f64 (*.f64 1/4 (pow.f64 N -4))) 1))
(log1p.f64 (expm1.f64 (*.f64 1/4 (pow.f64 N -4))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 1/2 (pow.f64 N -2)))) 1)
(*.f64 1 (*.f64 1/2 (pow.f64 N -2)))
(*.f64 1/2 (pow.f64 N -2))
(*.f64 1/2 (sqrt.f64 (pow.f64 N -4)))
(*.f64 (/.f64 1/2 N) (/.f64 1 N))
(*.f64 (cbrt.f64 (*.f64 1/4 (pow.f64 N -4))) (cbrt.f64 (*.f64 1/2 (pow.f64 N -2))))
(*.f64 (/.f64 (sqrt.f64 1/2) N) (/.f64 (sqrt.f64 1/2) N))
(*.f64 (sqrt.f64 (cbrt.f64 (/.f64 1/16 (pow.f64 N 8)))) (sqrt.f64 (cbrt.f64 (*.f64 1/4 (pow.f64 N -4)))))
(pow.f64 (*.f64 1/2 (pow.f64 N -2)) 1)
(pow.f64 (*.f64 1/4 (pow.f64 N -4)) 1/2)
(pow.f64 (cbrt.f64 (*.f64 1/2 (pow.f64 N -2))) 3)
(pow.f64 (/.f64 1/8 (pow.f64 N 6)) 1/3)
(pow.f64 (/.f64 (sqrt.f64 1/2) N) 2)
(pow.f64 (/.f64 N (/.f64 1/2 N)) -1)
(pow.f64 (/.f64 (*.f64 N N) 1/2) -1)
(sqrt.f64 (*.f64 1/4 (pow.f64 N -4)))
(fabs.f64 (*.f64 1/2 (pow.f64 N -2)))
(log.f64 (pow.f64 (exp.f64 1/2) (pow.f64 N -2)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 1/2 (pow.f64 N -2)))))
(cbrt.f64 (/.f64 1/8 (pow.f64 N 6)))
(expm1.f64 (log1p.f64 (*.f64 1/2 (pow.f64 N -2))))
(exp.f64 (log.f64 (*.f64 1/2 (pow.f64 N -2))))
(exp.f64 (*.f64 (log.f64 (*.f64 1/2 (pow.f64 N -2))) 1))
(log1p.f64 (expm1.f64 (*.f64 1/2 (pow.f64 N -2))))
(+.f64 (/.f64 1 N) (neg.f64 (*.f64 1/2 (pow.f64 N -2))))
(+.f64 (/.f64 (-.f64 1 (/.f64 1/2 N)) N) (fma.f64 (neg.f64 (/.f64 (sqrt.f64 1/2) N)) (/.f64 (sqrt.f64 1/2) N) (*.f64 1/2 (pow.f64 N -2))))
(+.f64 (fma.f64 1 (/.f64 1 N) (neg.f64 (*.f64 (*.f64 1/2 (pow.f64 N -2)) 1))) (fma.f64 (neg.f64 (*.f64 1/2 (pow.f64 N -2))) 1 (*.f64 (*.f64 1/2 (pow.f64 N -2)) 1)))
(+.f64 (fma.f64 1 (/.f64 1 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 1 (/.f64 1 N) (neg.f64 (*.f64 (/.f64 1 N) (/.f64 1/2 N)))) (fma.f64 (neg.f64 (/.f64 1 N)) (/.f64 1/2 N) (*.f64 (/.f64 1 N) (/.f64 1/2 N))))
(+.f64 (fma.f64 1 (/.f64 1 N) (neg.f64 (*.f64 (cbrt.f64 (*.f64 1/2 (pow.f64 N -2))) (cbrt.f64 (*.f64 1/4 (pow.f64 N -4)))))) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 1/2 (pow.f64 N -2)))) (cbrt.f64 (*.f64 1/4 (pow.f64 N -4))) (*.f64 (cbrt.f64 (*.f64 1/2 (pow.f64 N -2))) (cbrt.f64 (*.f64 1/4 (pow.f64 N -4))))))
(+.f64 (fma.f64 (cbrt.f64 (pow.f64 N -2)) (cbrt.f64 (/.f64 1 N)) (neg.f64 (*.f64 (*.f64 1/2 (pow.f64 N -2)) 1))) (fma.f64 (neg.f64 (*.f64 1/2 (pow.f64 N -2))) 1 (*.f64 (*.f64 1/2 (pow.f64 N -2)) 1)))
(+.f64 (fma.f64 (cbrt.f64 (pow.f64 N -2)) (cbrt.f64 (/.f64 1 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 (cbrt.f64 (pow.f64 N -2)) (cbrt.f64 (/.f64 1 N)) (neg.f64 (*.f64 (/.f64 1 N) (/.f64 1/2 N)))) (fma.f64 (neg.f64 (/.f64 1 N)) (/.f64 1/2 N) (*.f64 (/.f64 1 N) (/.f64 1/2 N))))
(+.f64 (fma.f64 (cbrt.f64 (pow.f64 N -2)) (cbrt.f64 (/.f64 1 N)) (neg.f64 (*.f64 (cbrt.f64 (*.f64 1/2 (pow.f64 N -2))) (cbrt.f64 (*.f64 1/4 (pow.f64 N -4)))))) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 1/2 (pow.f64 N -2)))) (cbrt.f64 (*.f64 1/4 (pow.f64 N -4))) (*.f64 (cbrt.f64 (*.f64 1/2 (pow.f64 N -2))) (cbrt.f64 (*.f64 1/4 (pow.f64 N -4))))))
(+.f64 (fma.f64 (pow.f64 N -1/2) (pow.f64 N -1/2) (neg.f64 (*.f64 (*.f64 1/2 (pow.f64 N -2)) 1))) (fma.f64 (neg.f64 (*.f64 1/2 (pow.f64 N -2))) 1 (*.f64 (*.f64 1/2 (pow.f64 N -2)) 1)))
(+.f64 (fma.f64 (pow.f64 N -1/2) (pow.f64 N -1/2) (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 (pow.f64 N -1/2) (pow.f64 N -1/2) (neg.f64 (*.f64 (/.f64 1 N) (/.f64 1/2 N)))) (fma.f64 (neg.f64 (/.f64 1 N)) (/.f64 1/2 N) (*.f64 (/.f64 1 N) (/.f64 1/2 N))))
(+.f64 (fma.f64 (pow.f64 N -1/2) (pow.f64 N -1/2) (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 1 (/.f64 (-.f64 1 (/.f64 1/2 N)) N))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 1 (/.f64 1/2 N)) N)) 2) (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 N -3) (/.f64 1/8 (pow.f64 N 6))) (+.f64 (pow.f64 N -2) (+.f64 (*.f64 1/4 (pow.f64 N -4)) (/.f64 1/2 (pow.f64 N 3)))))
(/.f64 (-.f64 (pow.f64 N -2) (*.f64 1/4 (pow.f64 N -4))) (+.f64 (/.f64 1 N) (*.f64 1/2 (pow.f64 N -2))))
(/.f64 (-.f64 -1 (neg.f64 (/.f64 1/2 N))) (neg.f64 N))
(/.f64 (-.f64 (/.f64 N (/.f64 1/2 N)) (*.f64 N 1)) (*.f64 N (/.f64 N (/.f64 1/2 N))))
(/.f64 (-.f64 (/.f64 (*.f64 N N) 1/2) (*.f64 N 1)) (*.f64 N (/.f64 (*.f64 N N) 1/2)))
(/.f64 (-.f64 (*.f64 N N) (*.f64 N 1/2)) (pow.f64 N 3))
(/.f64 (-.f64 (neg.f64 N) (*.f64 N (neg.f64 (/.f64 1/2 N)))) (*.f64 N (neg.f64 N)))
(/.f64 (-.f64 (neg.f64 (*.f64 N N)) (*.f64 N -1/2)) (*.f64 N (neg.f64 (*.f64 N N))))
(/.f64 (-.f64 (/.f64 N (/.f64 1/2 N)) (*.f64 (/.f64 N 1) 1)) (*.f64 (/.f64 N 1) (/.f64 N (/.f64 1/2 N))))
(/.f64 (-.f64 (/.f64 (*.f64 N N) 1/2) (*.f64 (/.f64 N 1) 1)) (*.f64 (/.f64 N 1) (/.f64 (*.f64 N N) 1/2)))
(/.f64 (-.f64 (*.f64 N N) (*.f64 (/.f64 N 1) 1/2)) (*.f64 (/.f64 N 1) (*.f64 N N)))
(/.f64 (-.f64 N (*.f64 (/.f64 N 1) (/.f64 1/2 N))) (*.f64 (/.f64 N 1) N))
(/.f64 (-.f64 (neg.f64 N) (*.f64 (/.f64 N 1) (neg.f64 (/.f64 1/2 N)))) (*.f64 (/.f64 N 1) (neg.f64 N)))
(/.f64 (-.f64 (neg.f64 (*.f64 N N)) (*.f64 (/.f64 N 1) -1/2)) (*.f64 (/.f64 N 1) (neg.f64 (*.f64 N N))))
(/.f64 (-.f64 (*.f64 -1 (/.f64 N (/.f64 1/2 N))) (*.f64 (neg.f64 N) 1)) (*.f64 (neg.f64 N) (/.f64 N (/.f64 1/2 N))))
(/.f64 (-.f64 (*.f64 -1 (/.f64 (*.f64 N N) 1/2)) (*.f64 (neg.f64 N) 1)) (*.f64 (neg.f64 N) (/.f64 (*.f64 N N) 1/2)))
(/.f64 (-.f64 (*.f64 -1 (*.f64 N N)) (*.f64 (neg.f64 N) 1/2)) (*.f64 (neg.f64 N) (*.f64 N N)))
(/.f64 (-.f64 (*.f64 -1 N) (*.f64 (neg.f64 N) (/.f64 1/2 N))) (*.f64 (neg.f64 N) N))
(/.f64 (-.f64 (*.f64 -1 (neg.f64 N)) (*.f64 (neg.f64 N) (neg.f64 (/.f64 1/2 N)))) (*.f64 (neg.f64 N) (neg.f64 N)))
(/.f64 (-.f64 (*.f64 -1 (neg.f64 (*.f64 N N))) (*.f64 (neg.f64 N) -1/2)) (*.f64 (neg.f64 N) (neg.f64 (*.f64 N N))))
(pow.f64 (/.f64 (-.f64 1 (/.f64 1/2 N)) N) 1)
(pow.f64 (cbrt.f64 (/.f64 (-.f64 1 (/.f64 1/2 N)) N)) 3)
(pow.f64 (pow.f64 (/.f64 (-.f64 1 (/.f64 1/2 N)) N) 3) 1/3)
(pow.f64 (sqrt.f64 (/.f64 (-.f64 1 (/.f64 1/2 N)) N)) 2)
(sqrt.f64 (pow.f64 (/.f64 (-.f64 1 (/.f64 1/2 N)) N) 2))
(log.f64 (exp.f64 (/.f64 (-.f64 1 (/.f64 1/2 N)) N)))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (-.f64 1 (/.f64 1/2 N)) N))))
(cbrt.f64 (pow.f64 (/.f64 (-.f64 1 (/.f64 1/2 N)) N) 3))
(expm1.f64 (log1p.f64 (/.f64 (-.f64 1 (/.f64 1/2 N)) N)))
(exp.f64 (log.f64 (/.f64 (-.f64 1 (/.f64 1/2 N)) N)))
(exp.f64 (*.f64 (log.f64 (/.f64 (-.f64 1 (/.f64 1/2 N)) N)) 1))
(log1p.f64 (expm1.f64 (/.f64 (-.f64 1 (/.f64 1/2 N)) N)))
(fma.f64 1 (/.f64 1 N) (neg.f64 (*.f64 1/2 (pow.f64 N -2))))
(fma.f64 (cbrt.f64 (pow.f64 N -2)) (cbrt.f64 (/.f64 1 N)) (neg.f64 (*.f64 1/2 (pow.f64 N -2))))
(fma.f64 (pow.f64 N -1/2) (pow.f64 N -1/2) (neg.f64 (*.f64 1/2 (pow.f64 N -2))))
Outputs
(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) (fma.f64 N (*.f64 N 1/2) (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 -1/3 (pow.f64 N 3)))))
(+.f64 (log.f64 N) (fma.f64 1/2 (*.f64 N N) (fma.f64 -1/3 (pow.f64 N 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 (pow.f64 N -2)) (/.f64 -1 N))
(fma.f64 1/2 (pow.f64 N -2) (/.f64 -1 N))
(-.f64 (*.f64 1/2 (/.f64 1 (pow.f64 N 2))) (+.f64 (/.f64 1 N) (*.f64 1/3 (/.f64 1 (pow.f64 N 3)))))
(-.f64 (/.f64 1/2 (*.f64 N N)) (+.f64 (/.f64 1 N) (/.f64 1/3 (pow.f64 N 3))))
(+.f64 (*.f64 1/2 (pow.f64 N -2)) (-.f64 (/.f64 -1 N) (/.f64 1/3 (pow.f64 N 3))))
(-.f64 (fma.f64 1/2 (pow.f64 N -2) (/.f64 -1 N)) (/.f64 1/3 (pow.f64 N 3)))
(-.f64 (+.f64 (*.f64 1/4 (/.f64 1 (pow.f64 N 4))) (*.f64 1/2 (/.f64 1 (pow.f64 N 2)))) (+.f64 (/.f64 1 N) (*.f64 1/3 (/.f64 1 (pow.f64 N 3)))))
(+.f64 (/.f64 1/4 (pow.f64 N 4)) (-.f64 (/.f64 1/2 (*.f64 N N)) (+.f64 (/.f64 1 N) (/.f64 1/3 (pow.f64 N 3)))))
(+.f64 (+.f64 (*.f64 1/2 (pow.f64 N -2)) (-.f64 (/.f64 -1 N) (/.f64 1/3 (pow.f64 N 3)))) (/.f64 1/4 (pow.f64 N 4)))
(+.f64 (-.f64 (fma.f64 1/2 (pow.f64 N -2) (/.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 (pow.f64 N -2)) (/.f64 -1 N))
(fma.f64 1/2 (pow.f64 N -2) (/.f64 -1 N))
(-.f64 (*.f64 1/2 (/.f64 1 (pow.f64 N 2))) (+.f64 (/.f64 1 N) (*.f64 1/3 (/.f64 1 (pow.f64 N 3)))))
(-.f64 (/.f64 1/2 (*.f64 N N)) (+.f64 (/.f64 1 N) (/.f64 1/3 (pow.f64 N 3))))
(+.f64 (*.f64 1/2 (pow.f64 N -2)) (-.f64 (/.f64 -1 N) (/.f64 1/3 (pow.f64 N 3))))
(-.f64 (fma.f64 1/2 (pow.f64 N -2) (/.f64 -1 N)) (/.f64 1/3 (pow.f64 N 3)))
(-.f64 (+.f64 (*.f64 1/4 (/.f64 1 (pow.f64 N 4))) (*.f64 1/2 (/.f64 1 (pow.f64 N 2)))) (+.f64 (/.f64 1 N) (*.f64 1/3 (/.f64 1 (pow.f64 N 3)))))
(+.f64 (/.f64 1/4 (pow.f64 N 4)) (-.f64 (/.f64 1/2 (*.f64 N N)) (+.f64 (/.f64 1 N) (/.f64 1/3 (pow.f64 N 3)))))
(+.f64 (+.f64 (*.f64 1/2 (pow.f64 N -2)) (-.f64 (/.f64 -1 N) (/.f64 1/3 (pow.f64 N 3)))) (/.f64 1/4 (pow.f64 N 4)))
(+.f64 (-.f64 (fma.f64 1/2 (pow.f64 N -2) (/.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)))
(fma.f64 N (neg.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 (pow.f64 N 3) (fma.f64 N (neg.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 1 (+.f64 (/.f64 1 (*.f64 N N)) (/.f64 -1 N)))
(-.f64 (+.f64 1 (/.f64 1 (pow.f64 N 2))) (+.f64 (/.f64 1 (pow.f64 N 3)) (/.f64 1 N)))
(-.f64 (+.f64 1 (/.f64 1 (*.f64 N N))) (+.f64 (/.f64 1 N) (/.f64 1 (pow.f64 N 3))))
(+.f64 1 (-.f64 (+.f64 (/.f64 1 (*.f64 N N)) (/.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 1 (+.f64 (/.f64 1 (*.f64 N N)) (/.f64 -1 N)))
(-.f64 (+.f64 1 (/.f64 1 (pow.f64 N 2))) (+.f64 (/.f64 1 (pow.f64 N 3)) (/.f64 1 N)))
(-.f64 (+.f64 1 (/.f64 1 (*.f64 N N))) (+.f64 (/.f64 1 N) (/.f64 1 (pow.f64 N 3))))
(+.f64 1 (-.f64 (+.f64 (/.f64 1 (*.f64 N N)) (/.f64 -1 N)) (/.f64 1 (pow.f64 N 3))))
(*.f64 -1 (log.f64 N))
(neg.f64 (log.f64 N))
(+.f64 N (*.f64 -1 (log.f64 N)))
(-.f64 N (log.f64 N))
(+.f64 N (*.f64 -1 (log.f64 N)))
(-.f64 N (log.f64 N))
(+.f64 N (*.f64 -1 (log.f64 N)))
(-.f64 N (log.f64 N))
N
(+.f64 N (log.f64 (/.f64 1 N)))
(-.f64 N (log.f64 N))
(+.f64 N (log.f64 (/.f64 1 N)))
(-.f64 N (log.f64 N))
(+.f64 N (log.f64 (/.f64 1 N)))
(-.f64 N (log.f64 N))
N
(+.f64 N (*.f64 -1 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 N))))))
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(-.f64 (fma.f64 1/3 (pow.f64 N -3) (/.f64 1 N)) (fma.f64 1/2 (pow.f64 N -2) (*.f64 1/4 (pow.f64 N -4))))
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(+.f64 (fma.f64 (pow.f64 N -1/2) (pow.f64 N -1/2) (neg.f64 (*.f64 (*.f64 1/2 (pow.f64 N -2)) 1))) (fma.f64 (neg.f64 (*.f64 1/2 (pow.f64 N -2))) 1 (*.f64 (*.f64 1/2 (pow.f64 N -2)) 1)))
(+.f64 (fma.f64 1 (/.f64 1 N) (*.f64 -1/2 (pow.f64 N -2))) (+.f64 (*.f64 -1/2 (pow.f64 N -2)) (*.f64 1/2 (pow.f64 N -2))))
(+.f64 (/.f64 (+.f64 1 (/.f64 -1/2 N)) N) (*.f64 (pow.f64 N -2) 0))
(+.f64 (fma.f64 (pow.f64 N -1/2) (pow.f64 N -1/2) (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 1 (/.f64 1 N) (*.f64 -1/2 (pow.f64 N -2))) (+.f64 (*.f64 -1/2 (pow.f64 N -2)) (*.f64 1/2 (pow.f64 N -2))))
(+.f64 (/.f64 (+.f64 1 (/.f64 -1/2 N)) N) (*.f64 (pow.f64 N -2) 0))
(+.f64 (fma.f64 (pow.f64 N -1/2) (pow.f64 N -1/2) (neg.f64 (*.f64 (/.f64 1 N) (/.f64 1/2 N)))) (fma.f64 (neg.f64 (/.f64 1 N)) (/.f64 1/2 N) (*.f64 (/.f64 1 N) (/.f64 1/2 N))))
(+.f64 (fma.f64 1 (/.f64 1 N) (*.f64 -1/2 (pow.f64 N -2))) (+.f64 (*.f64 -1/2 (pow.f64 N -2)) (*.f64 1/2 (pow.f64 N -2))))
(+.f64 (/.f64 (+.f64 1 (/.f64 -1/2 N)) N) (*.f64 (pow.f64 N -2) 0))
(+.f64 (fma.f64 (pow.f64 N -1/2) (pow.f64 N -1/2) (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 (fma.f64 1 (/.f64 1 N) (*.f64 (neg.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 1/4 (pow.f64 N -4))) (cbrt.f64 (*.f64 1/2 (pow.f64 N -2))))))
(+.f64 (*.f64 0 (*.f64 (cbrt.f64 (*.f64 1/4 (pow.f64 N -4))) (cbrt.f64 (*.f64 1/2 (pow.f64 N -2))))) (-.f64 (/.f64 1 N) (*.f64 (cbrt.f64 (*.f64 1/4 (pow.f64 N -4))) (cbrt.f64 (*.f64 1/2 (pow.f64 N -2))))))
(*.f64 1 (/.f64 (-.f64 1 (/.f64 1/2 N)) N))
(-.f64 (/.f64 1 N) (/.f64 1/2 (*.f64 N N)))
(/.f64 (+.f64 1 (/.f64 -1/2 N)) N)
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 1 (/.f64 1/2 N)) N)) 2) (cbrt.f64 (/.f64 (-.f64 1 (/.f64 1/2 N)) N)))
(-.f64 (/.f64 1 N) (/.f64 1/2 (*.f64 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 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 1 N) (/.f64 1/2 (*.f64 N N)))
(/.f64 (+.f64 1 (/.f64 -1/2 N)) N)
(/.f64 (-.f64 N (*.f64 N (/.f64 1/2 N))) (*.f64 N N))
(/.f64 (+.f64 N (*.f64 N (/.f64 -1/2 N))) (*.f64 N N))
(/.f64 (-.f64 (pow.f64 N -3) (/.f64 1/8 (pow.f64 N 6))) (+.f64 (pow.f64 N -2) (+.f64 (*.f64 1/4 (pow.f64 N -4)) (/.f64 1/2 (pow.f64 N 3)))))
(/.f64 (-.f64 (pow.f64 N -3) (/.f64 1/8 (pow.f64 N 6))) (+.f64 (pow.f64 N -2) (fma.f64 1/4 (pow.f64 N -4) (/.f64 1/2 (pow.f64 N 3)))))
(/.f64 (+.f64 (pow.f64 N -3) (/.f64 -1/8 (pow.f64 N 6))) (+.f64 (pow.f64 N -2) (fma.f64 1/4 (pow.f64 N -4) (/.f64 1/2 (pow.f64 N 3)))))
(/.f64 (-.f64 (pow.f64 N -2) (*.f64 1/4 (pow.f64 N -4))) (+.f64 (/.f64 1 N) (*.f64 1/2 (pow.f64 N -2))))
(/.f64 (+.f64 (pow.f64 N -2) (*.f64 -1/4 (pow.f64 N -4))) (+.f64 (/.f64 1 N) (*.f64 1/2 (pow.f64 N -2))))
(/.f64 (+.f64 (pow.f64 N -2) (*.f64 -1/4 (pow.f64 N -4))) (fma.f64 1/2 (pow.f64 N -2) (/.f64 1 N)))
(/.f64 (-.f64 -1 (neg.f64 (/.f64 1/2 N))) (neg.f64 N))
(-.f64 (/.f64 1 N) (/.f64 1/2 (*.f64 N N)))
(/.f64 (+.f64 1 (/.f64 -1/2 N)) N)
(/.f64 (-.f64 (/.f64 N (/.f64 1/2 N)) (*.f64 N 1)) (*.f64 N (/.f64 N (/.f64 1/2 N))))
(/.f64 (-.f64 (*.f64 (/.f64 N 1/2) N) N) (/.f64 (pow.f64 N 3) 1/2))
(*.f64 (/.f64 (-.f64 (*.f64 N (/.f64 N 1/2)) N) (pow.f64 N 3)) 1/2)
(/.f64 (-.f64 (/.f64 (*.f64 N N) 1/2) (*.f64 N 1)) (*.f64 N (/.f64 (*.f64 N N) 1/2)))
(/.f64 (-.f64 (*.f64 (/.f64 N 1/2) N) N) (/.f64 (pow.f64 N 3) 1/2))
(*.f64 (/.f64 (-.f64 (*.f64 N (/.f64 N 1/2)) N) (pow.f64 N 3)) 1/2)
(/.f64 (-.f64 (*.f64 N N) (*.f64 N 1/2)) (pow.f64 N 3))
(/.f64 (*.f64 N (-.f64 N 1/2)) (pow.f64 N 3))
(/.f64 (*.f64 N (+.f64 N -1/2)) (pow.f64 N 3))
(/.f64 (-.f64 (neg.f64 N) (*.f64 N (neg.f64 (/.f64 1/2 N)))) (*.f64 N (neg.f64 N)))
(/.f64 (+.f64 N (*.f64 N (/.f64 -1/2 N))) (*.f64 N N))
(/.f64 (-.f64 (neg.f64 (*.f64 N N)) (*.f64 N -1/2)) (*.f64 N (neg.f64 (*.f64 N N))))
(/.f64 (*.f64 N (-.f64 N 1/2)) (pow.f64 N 3))
(/.f64 (*.f64 N (+.f64 N -1/2)) (pow.f64 N 3))
(/.f64 (-.f64 (/.f64 N (/.f64 1/2 N)) (*.f64 (/.f64 N 1) 1)) (*.f64 (/.f64 N 1) (/.f64 N (/.f64 1/2 N))))
(/.f64 (-.f64 (*.f64 (/.f64 N 1/2) N) N) (/.f64 (pow.f64 N 3) 1/2))
(*.f64 (/.f64 (-.f64 (*.f64 N (/.f64 N 1/2)) N) (pow.f64 N 3)) 1/2)
(/.f64 (-.f64 (/.f64 (*.f64 N N) 1/2) (*.f64 (/.f64 N 1) 1)) (*.f64 (/.f64 N 1) (/.f64 (*.f64 N N) 1/2)))
(/.f64 (-.f64 (*.f64 (/.f64 N 1/2) N) N) (/.f64 (pow.f64 N 3) 1/2))
(*.f64 (/.f64 (-.f64 (*.f64 N (/.f64 N 1/2)) N) (pow.f64 N 3)) 1/2)
(/.f64 (-.f64 (*.f64 N N) (*.f64 (/.f64 N 1) 1/2)) (*.f64 (/.f64 N 1) (*.f64 N N)))
(/.f64 (*.f64 N (-.f64 N 1/2)) (pow.f64 N 3))
(/.f64 (*.f64 N (+.f64 N -1/2)) (pow.f64 N 3))
(/.f64 (-.f64 N (*.f64 (/.f64 N 1) (/.f64 1/2 N))) (*.f64 (/.f64 N 1) N))
(/.f64 (+.f64 N (*.f64 N (/.f64 -1/2 N))) (*.f64 N N))
(/.f64 (-.f64 (neg.f64 N) (*.f64 (/.f64 N 1) (neg.f64 (/.f64 1/2 N)))) (*.f64 (/.f64 N 1) (neg.f64 N)))
(/.f64 (+.f64 N (*.f64 N (/.f64 -1/2 N))) (*.f64 N N))
(/.f64 (-.f64 (neg.f64 (*.f64 N N)) (*.f64 (/.f64 N 1) -1/2)) (*.f64 (/.f64 N 1) (neg.f64 (*.f64 N N))))
(/.f64 (*.f64 N (-.f64 N 1/2)) (pow.f64 N 3))
(/.f64 (*.f64 N (+.f64 N -1/2)) (pow.f64 N 3))
(/.f64 (-.f64 (*.f64 -1 (/.f64 N (/.f64 1/2 N))) (*.f64 (neg.f64 N) 1)) (*.f64 (neg.f64 N) (/.f64 N (/.f64 1/2 N))))
(/.f64 (+.f64 (neg.f64 (*.f64 (/.f64 N 1/2) N)) N) (neg.f64 (/.f64 (pow.f64 N 3) 1/2)))
(*.f64 (/.f64 (+.f64 N (/.f64 (*.f64 N N) -1/2)) (pow.f64 (neg.f64 N) 3)) 1/2)
(*.f64 (/.f64 (fma.f64 (/.f64 N 1/2) (neg.f64 N) N) (pow.f64 (neg.f64 N) 3)) 1/2)
(/.f64 (-.f64 (*.f64 -1 (/.f64 (*.f64 N N) 1/2)) (*.f64 (neg.f64 N) 1)) (*.f64 (neg.f64 N) (/.f64 (*.f64 N N) 1/2)))
(/.f64 (+.f64 (neg.f64 (*.f64 (/.f64 N 1/2) N)) N) (neg.f64 (/.f64 (pow.f64 N 3) 1/2)))
(*.f64 (/.f64 (+.f64 N (/.f64 (*.f64 N N) -1/2)) (pow.f64 (neg.f64 N) 3)) 1/2)
(*.f64 (/.f64 (fma.f64 (/.f64 N 1/2) (neg.f64 N) N) (pow.f64 (neg.f64 N) 3)) 1/2)
(/.f64 (-.f64 (*.f64 -1 (*.f64 N N)) (*.f64 (neg.f64 N) 1/2)) (*.f64 (neg.f64 N) (*.f64 N N)))
(/.f64 (*.f64 N (-.f64 N 1/2)) (pow.f64 N 3))
(/.f64 (*.f64 N (+.f64 N -1/2)) (pow.f64 N 3))
(/.f64 (-.f64 (*.f64 -1 N) (*.f64 (neg.f64 N) (/.f64 1/2 N))) (*.f64 (neg.f64 N) N))
(/.f64 (+.f64 N (*.f64 N (/.f64 -1/2 N))) (*.f64 N N))
(/.f64 (-.f64 (*.f64 -1 (neg.f64 N)) (*.f64 (neg.f64 N) (neg.f64 (/.f64 1/2 N)))) (*.f64 (neg.f64 N) (neg.f64 N)))
(/.f64 (+.f64 N (*.f64 N (/.f64 -1/2 N))) (*.f64 N N))
(/.f64 (-.f64 (*.f64 -1 (neg.f64 (*.f64 N N))) (*.f64 (neg.f64 N) -1/2)) (*.f64 (neg.f64 N) (neg.f64 (*.f64 N N))))
(/.f64 (*.f64 N (-.f64 N 1/2)) (pow.f64 N 3))
(/.f64 (*.f64 N (+.f64 N -1/2)) (pow.f64 N 3))
(pow.f64 (/.f64 (-.f64 1 (/.f64 1/2 N)) N) 1)
(-.f64 (/.f64 1 N) (/.f64 1/2 (*.f64 N N)))
(/.f64 (+.f64 1 (/.f64 -1/2 N)) N)
(pow.f64 (cbrt.f64 (/.f64 (-.f64 1 (/.f64 1/2 N)) N)) 3)
(-.f64 (/.f64 1 N) (/.f64 1/2 (*.f64 N N)))
(/.f64 (+.f64 1 (/.f64 -1/2 N)) N)
(pow.f64 (pow.f64 (/.f64 (-.f64 1 (/.f64 1/2 N)) N) 3) 1/3)
(-.f64 (/.f64 1 N) (/.f64 1/2 (*.f64 N N)))
(/.f64 (+.f64 1 (/.f64 -1/2 N)) N)
(pow.f64 (sqrt.f64 (/.f64 (-.f64 1 (/.f64 1/2 N)) N)) 2)
(-.f64 (/.f64 1 N) (/.f64 1/2 (*.f64 N N)))
(/.f64 (+.f64 1 (/.f64 -1/2 N)) N)
(sqrt.f64 (pow.f64 (/.f64 (-.f64 1 (/.f64 1/2 N)) N) 2))
(sqrt.f64 (pow.f64 (/.f64 (+.f64 1 (/.f64 -1/2 N)) N) 2))
(fabs.f64 (/.f64 (+.f64 1 (/.f64 -1/2 N)) N))
(log.f64 (exp.f64 (/.f64 (-.f64 1 (/.f64 1/2 N)) N)))
(-.f64 (/.f64 1 N) (/.f64 1/2 (*.f64 N N)))
(/.f64 (+.f64 1 (/.f64 -1/2 N)) N)
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (-.f64 1 (/.f64 1/2 N)) N))))
(-.f64 (/.f64 1 N) (/.f64 1/2 (*.f64 N N)))
(/.f64 (+.f64 1 (/.f64 -1/2 N)) N)
(cbrt.f64 (pow.f64 (/.f64 (-.f64 1 (/.f64 1/2 N)) N) 3))
(-.f64 (/.f64 1 N) (/.f64 1/2 (*.f64 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 N) (/.f64 1/2 (*.f64 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 N) (/.f64 1/2 (*.f64 N N)))
(/.f64 (+.f64 1 (/.f64 -1/2 N)) N)
(exp.f64 (*.f64 (log.f64 (/.f64 (-.f64 1 (/.f64 1/2 N)) N)) 1))
(-.f64 (/.f64 1 N) (/.f64 1/2 (*.f64 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 N) (/.f64 1/2 (*.f64 N N)))
(/.f64 (+.f64 1 (/.f64 -1/2 N)) N)
(fma.f64 1 (/.f64 1 N) (neg.f64 (*.f64 1/2 (pow.f64 N -2))))
(-.f64 (/.f64 1 N) (/.f64 1/2 (*.f64 N N)))
(/.f64 (+.f64 1 (/.f64 -1/2 N)) N)
(fma.f64 (cbrt.f64 (pow.f64 N -2)) (cbrt.f64 (/.f64 1 N)) (neg.f64 (*.f64 1/2 (pow.f64 N -2))))
(fma.f64 (cbrt.f64 (pow.f64 N -2)) (cbrt.f64 (/.f64 1 N)) (*.f64 -1/2 (pow.f64 N -2)))
(fma.f64 (pow.f64 N -1/2) (pow.f64 N -1/2) (neg.f64 (*.f64 1/2 (pow.f64 N -2))))
(-.f64 (/.f64 1 N) (/.f64 1/2 (*.f64 N N)))
(/.f64 (+.f64 1 (/.f64 -1/2 N)) N)

eval329.0ms (2.7%)

Compiler

Compiled 8876 to 6633 computations (25.3% saved)

prune64.0ms (0.5%)

Pruning

10 alts after pruning (4 fresh and 6 done)

PrunedKeptTotal
New4084412
Fresh000
Picked224
Done145
Total41110421
Accurracy
100.0%
Counts
421 → 10
Alt Table
Click to see full alt table
StatusAccuracyProgram
46.0%
(pow.f64 (sqrt.f64 (-.f64 (fma.f64 1/3 (pow.f64 N -3) (/.f64 1 N)) (fma.f64 1/2 (pow.f64 N -2) (*.f64 1/4 (pow.f64 N -4))))) 2)
46.6%
(/.f64 (-.f64 1 (/.f64 1/2 N)) N)
48.6%
(/.f64 1 N)
46.6%
(-.f64 (+.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 (+.f64 1 (/.f64 -1/2 N)) N)) (/.f64 1/4 (pow.f64 N 4)))
54.7%
(-.f64 N (log.f64 N))
47.6%
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 (+.f64 1 (/.f64 -1/2 N)) N))
4.1%
(*.f64 (+.f64 (sqrt.f64 (log1p.f64 N)) (sqrt.f64 (log.f64 N))) (-.f64 (sqrt.f64 (log1p.f64 N)) (sqrt.f64 (log.f64 N))))
57.5%
(neg.f64 (log.f64 (/.f64 N (+.f64 N 1))))
53.4%
(neg.f64 (log.f64 N))
57.5%
(log.f64 (/.f64 (+.f64 N 1) N))
46.0%
(pow.f64 (sqrt.f64 (-.f64 (fma.f64 1/3 (pow.f64 N -3) (/.f64 1 N)) (fma.f64 1/2 (pow.f64 N -2) (*.f64 1/4 (pow.f64 N -4))))) 2)
46.6%
(/.f64 (-.f64 1 (/.f64 1/2 N)) N)
48.6%
(/.f64 1 N)
46.6%
(-.f64 (+.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 (+.f64 1 (/.f64 -1/2 N)) N)) (/.f64 1/4 (pow.f64 N 4)))
54.7%
(-.f64 N (log.f64 N))
47.6%
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 (+.f64 1 (/.f64 -1/2 N)) N))
4.1%
(*.f64 (+.f64 (sqrt.f64 (log1p.f64 N)) (sqrt.f64 (log.f64 N))) (-.f64 (sqrt.f64 (log1p.f64 N)) (sqrt.f64 (log.f64 N))))
57.5%
(neg.f64 (log.f64 (/.f64 N (+.f64 N 1))))
53.4%
(neg.f64 (log.f64 N))
57.5%
(log.f64 (/.f64 (+.f64 N 1) N))
Compiler

Compiled 218 to 160 computations (26.6% saved)

localize1.1s (8.6%)

Local Accuracy

Found 9 expressions with local accuracy:

NewAccuracyProgram
100.0%
(sqrt.f64 (-.f64 (fma.f64 1/3 (pow.f64 N -3) (/.f64 1 N)) (fma.f64 1/2 (pow.f64 N -2) (*.f64 1/4 (pow.f64 N -4)))))
100.0%
(fma.f64 1/3 (pow.f64 N -3) (/.f64 1 N))
100.0%
(pow.f64 (sqrt.f64 (-.f64 (fma.f64 1/3 (pow.f64 N -3) (/.f64 1 N)) (fma.f64 1/2 (pow.f64 N -2) (*.f64 1/4 (pow.f64 N -4))))) 2)
100.0%
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 (+.f64 1 (/.f64 -1/2 N)) N))
100.0%
(-.f64 (+.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 (+.f64 1 (/.f64 -1/2 N)) N)) (/.f64 1/4 (pow.f64 N 4)))
100.0%
(/.f64 1/3 (pow.f64 N 3))
100.0%
(/.f64 1/4 (pow.f64 N 4))
100.0%
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 (+.f64 1 (/.f64 -1/2 N)) N))
100.0%
(/.f64 1/3 (pow.f64 N 3))
Compiler

Compiled 236 to 183 computations (22.5% saved)

series14.0ms (0.1%)

Counts
6 → 56
Calls

18 calls:

TimeVariablePointExpression
7.0ms
N
@0
(sqrt.f64 (-.f64 (fma.f64 1/3 (pow.f64 N -3) (/.f64 1 N)) (fma.f64 1/2 (pow.f64 N -2) (*.f64 1/4 (pow.f64 N -4)))))
1.0ms
N
@-inf
(sqrt.f64 (-.f64 (fma.f64 1/3 (pow.f64 N -3) (/.f64 1 N)) (fma.f64 1/2 (pow.f64 N -2) (*.f64 1/4 (pow.f64 N -4)))))
1.0ms
N
@-inf
(pow.f64 (sqrt.f64 (-.f64 (fma.f64 1/3 (pow.f64 N -3) (/.f64 1 N)) (fma.f64 1/2 (pow.f64 N -2) (*.f64 1/4 (pow.f64 N -4))))) 2)
1.0ms
N
@inf
(pow.f64 (sqrt.f64 (-.f64 (fma.f64 1/3 (pow.f64 N -3) (/.f64 1 N)) (fma.f64 1/2 (pow.f64 N -2) (*.f64 1/4 (pow.f64 N -4))))) 2)
1.0ms
N
@0
(pow.f64 (sqrt.f64 (-.f64 (fma.f64 1/3 (pow.f64 N -3) (/.f64 1 N)) (fma.f64 1/2 (pow.f64 N -2) (*.f64 1/4 (pow.f64 N -4))))) 2)

rewrite137.0ms (1.1%)

Algorithm
batch-egg-rewrite
Rules
740×add-sqr-sqrt
708×pow1
702×add-exp-log
702×add-log-exp
702×log1p-expm1-u
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
035260
1794248
Stop Event
node limit
Counts
6 → 189
Calls
Call 1
Inputs
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (/.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))
(pow.f64 (sqrt.f64 (-.f64 (fma.f64 1/3 (pow.f64 N -3) (/.f64 1 N)) (fma.f64 1/2 (pow.f64 N -2) (*.f64 1/4 (pow.f64 N -4))))) 2)
(fma.f64 1/3 (pow.f64 N -3) (/.f64 1 N))
(sqrt.f64 (-.f64 (fma.f64 1/3 (pow.f64 N -3) (/.f64 1 N)) (fma.f64 1/2 (pow.f64 N -2) (*.f64 1/4 (pow.f64 N -4)))))
Outputs
(-.f64 (exp.f64 (log1p.f64 (fma.f64 1/3 (pow.f64 N -3) (/.f64 (+.f64 1 (/.f64 -1/2 N)) N)))) 1)
(*.f64 1 (fma.f64 1/3 (pow.f64 N -3) (/.f64 (+.f64 1 (/.f64 -1/2 N)) N)))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 1/3 (pow.f64 N -3) (/.f64 (+.f64 1 (/.f64 -1/2 N)) N))) 2) (cbrt.f64 (fma.f64 1/3 (pow.f64 N -3) (/.f64 (+.f64 1 (/.f64 -1/2 N)) N))))
(*.f64 (sqrt.f64 (fma.f64 1/3 (pow.f64 N -3) (/.f64 (+.f64 1 (/.f64 -1/2 N)) N))) (sqrt.f64 (fma.f64 1/3 (pow.f64 N -3) (/.f64 (+.f64 1 (/.f64 -1/2 N)) N))))
(/.f64 (fma.f64 1/3 N (*.f64 (pow.f64 N 3) (+.f64 1 (/.f64 -1/2 N)))) (pow.f64 N 4))
(/.f64 (+.f64 (/.f64 1/27 (pow.f64 (pow.f64 N 3) 3)) (pow.f64 (/.f64 (+.f64 1 (/.f64 -1/2 N)) N) 3)) (+.f64 (pow.f64 (*.f64 1/3 (pow.f64 N -3)) 2) (-.f64 (pow.f64 (/.f64 (+.f64 1 (/.f64 -1/2 N)) N) 2) (*.f64 (*.f64 1/3 (pow.f64 N -3)) (/.f64 (+.f64 1 (/.f64 -1/2 N)) N)))))
(/.f64 (-.f64 (pow.f64 (*.f64 1/3 (pow.f64 N -3)) 2) (pow.f64 (/.f64 (+.f64 1 (/.f64 -1/2 N)) N) 2)) (-.f64 (*.f64 1/3 (pow.f64 N -3)) (/.f64 (+.f64 1 (/.f64 -1/2 N)) N)))
(/.f64 (+.f64 (*.f64 1/3 (/.f64 N (+.f64 1 (/.f64 -1/2 N)))) (*.f64 (pow.f64 N 3) 1)) (*.f64 (pow.f64 N 3) (/.f64 N (+.f64 1 (/.f64 -1/2 N)))))
(/.f64 (+.f64 (*.f64 1/3 (neg.f64 N)) (*.f64 (pow.f64 N 3) (neg.f64 (+.f64 1 (/.f64 -1/2 N))))) (*.f64 (pow.f64 N 3) (neg.f64 N)))
(/.f64 (+.f64 (/.f64 N (+.f64 1 (/.f64 -1/2 N))) (*.f64 (/.f64 (pow.f64 N 3) 1/3) 1)) (*.f64 (/.f64 (pow.f64 N 3) 1/3) (/.f64 N (+.f64 1 (/.f64 -1/2 N)))))
(/.f64 (+.f64 N (*.f64 (/.f64 (pow.f64 N 3) 1/3) (+.f64 1 (/.f64 -1/2 N)))) (*.f64 (/.f64 (pow.f64 N 3) 1/3) N))
(/.f64 (+.f64 (neg.f64 N) (*.f64 (/.f64 (pow.f64 N 3) 1/3) (neg.f64 (+.f64 1 (/.f64 -1/2 N))))) (*.f64 (/.f64 (pow.f64 N 3) 1/3) (neg.f64 N)))
(/.f64 (+.f64 (*.f64 -1/3 (/.f64 N (+.f64 1 (/.f64 -1/2 N)))) (*.f64 (neg.f64 (pow.f64 N 3)) 1)) (*.f64 (neg.f64 (pow.f64 N 3)) (/.f64 N (+.f64 1 (/.f64 -1/2 N)))))
(/.f64 (+.f64 (*.f64 -1/3 N) (*.f64 (neg.f64 (pow.f64 N 3)) (+.f64 1 (/.f64 -1/2 N)))) (*.f64 (neg.f64 (pow.f64 N 3)) N))
(/.f64 (+.f64 (*.f64 -1/3 (neg.f64 N)) (*.f64 (neg.f64 (pow.f64 N 3)) (neg.f64 (+.f64 1 (/.f64 -1/2 N))))) (*.f64 (neg.f64 (pow.f64 N 3)) (neg.f64 N)))
(/.f64 (+.f64 (pow.f64 N 3) (*.f64 (/.f64 N (+.f64 1 (/.f64 -1/2 N))) 1/3)) (*.f64 (/.f64 N (+.f64 1 (/.f64 -1/2 N))) (pow.f64 N 3)))
(/.f64 (+.f64 (/.f64 (pow.f64 N 3) 1/3) (*.f64 (/.f64 N (+.f64 1 (/.f64 -1/2 N))) 1)) (*.f64 (/.f64 N (+.f64 1 (/.f64 -1/2 N))) (/.f64 (pow.f64 N 3) 1/3)))
(/.f64 (+.f64 (neg.f64 (pow.f64 N 3)) (*.f64 (/.f64 N (+.f64 1 (/.f64 -1/2 N))) -1/3)) (*.f64 (/.f64 N (+.f64 1 (/.f64 -1/2 N))) (neg.f64 (pow.f64 N 3))))
(/.f64 (+.f64 (*.f64 (+.f64 1 (/.f64 -1/2 N)) (pow.f64 N 3)) (*.f64 N 1/3)) (*.f64 N (pow.f64 N 3)))
(/.f64 (+.f64 (*.f64 (+.f64 1 (/.f64 -1/2 N)) (/.f64 (pow.f64 N 3) 1/3)) (*.f64 N 1)) (*.f64 N (/.f64 (pow.f64 N 3) 1/3)))
(/.f64 (+.f64 (*.f64 (+.f64 1 (/.f64 -1/2 N)) (neg.f64 (pow.f64 N 3))) (*.f64 N -1/3)) (*.f64 N (neg.f64 (pow.f64 N 3))))
(/.f64 (+.f64 (*.f64 (neg.f64 (+.f64 1 (/.f64 -1/2 N))) (pow.f64 N 3)) (*.f64 (neg.f64 N) 1/3)) (*.f64 (neg.f64 N) (pow.f64 N 3)))
(/.f64 (+.f64 (*.f64 (neg.f64 (+.f64 1 (/.f64 -1/2 N))) (/.f64 (pow.f64 N 3) 1/3)) (*.f64 (neg.f64 N) 1)) (*.f64 (neg.f64 N) (/.f64 (pow.f64 N 3) 1/3)))
(/.f64 (+.f64 (*.f64 (neg.f64 (+.f64 1 (/.f64 -1/2 N))) (neg.f64 (pow.f64 N 3))) (*.f64 (neg.f64 N) -1/3)) (*.f64 (neg.f64 N) (neg.f64 (pow.f64 N 3))))
(pow.f64 (fma.f64 1/3 (pow.f64 N -3) (/.f64 (+.f64 1 (/.f64 -1/2 N)) N)) 1)
(pow.f64 (cbrt.f64 (fma.f64 1/3 (pow.f64 N -3) (/.f64 (+.f64 1 (/.f64 -1/2 N)) N))) 3)
(pow.f64 (pow.f64 (fma.f64 1/3 (pow.f64 N -3) (/.f64 (+.f64 1 (/.f64 -1/2 N)) N)) 3) 1/3)
(pow.f64 (sqrt.f64 (fma.f64 1/3 (pow.f64 N -3) (/.f64 (+.f64 1 (/.f64 -1/2 N)) N))) 2)
(sqrt.f64 (pow.f64 (fma.f64 1/3 (pow.f64 N -3) (/.f64 (+.f64 1 (/.f64 -1/2 N)) N)) 2))
(log.f64 (exp.f64 (fma.f64 1/3 (pow.f64 N -3) (/.f64 (+.f64 1 (/.f64 -1/2 N)) N))))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 1/3 (pow.f64 N -3) (/.f64 (+.f64 1 (/.f64 -1/2 N)) N)))))
(cbrt.f64 (pow.f64 (fma.f64 1/3 (pow.f64 N -3) (/.f64 (+.f64 1 (/.f64 -1/2 N)) N)) 3))
(expm1.f64 (log1p.f64 (fma.f64 1/3 (pow.f64 N -3) (/.f64 (+.f64 1 (/.f64 -1/2 N)) N))))
(exp.f64 (log.f64 (fma.f64 1/3 (pow.f64 N -3) (/.f64 (+.f64 1 (/.f64 -1/2 N)) N))))
(exp.f64 (*.f64 (log.f64 (fma.f64 1/3 (pow.f64 N -3) (/.f64 (+.f64 1 (/.f64 -1/2 N)) N))) 1))
(log1p.f64 (expm1.f64 (fma.f64 1/3 (pow.f64 N -3) (/.f64 (+.f64 1 (/.f64 -1/2 N)) N))))
(fma.f64 1/3 (pow.f64 N -3) (/.f64 (+.f64 1 (/.f64 -1/2 N)) N))
(fma.f64 1 (*.f64 1/3 (pow.f64 N -3)) (/.f64 (+.f64 1 (/.f64 -1/2 N)) N))
(fma.f64 1 (/.f64 (+.f64 1 (/.f64 -1/2 N)) N) (*.f64 1/3 (pow.f64 N -3)))
(fma.f64 (+.f64 1 (/.f64 -1/2 N)) (/.f64 1 N) (*.f64 1/3 (pow.f64 N -3)))
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 1 (/.f64 -1/2 N)) N)) 2) (cbrt.f64 (/.f64 (+.f64 1 (/.f64 -1/2 N)) N)) (*.f64 1/3 (pow.f64 N -3)))
(fma.f64 (pow.f64 (/.f64 (cbrt.f64 1/3) N) 2) (/.f64 (cbrt.f64 1/3) N) (/.f64 (+.f64 1 (/.f64 -1/2 N)) N))
(fma.f64 (sqrt.f64 (/.f64 (+.f64 1 (/.f64 -1/2 N)) N)) (sqrt.f64 (/.f64 (+.f64 1 (/.f64 -1/2 N)) N)) (*.f64 1/3 (pow.f64 N -3)))
(fma.f64 (*.f64 (sqrt.f64 1/3) (pow.f64 N -3/2)) (*.f64 (sqrt.f64 1/3) (pow.f64 N -3/2)) (/.f64 (+.f64 1 (/.f64 -1/2 N)) N))
(+.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 (fma.f64 1/3 (pow.f64 N -3) (/.f64 (+.f64 1 (/.f64 -1/2 N)) N)) (neg.f64 (*.f64 1/4 (pow.f64 N -4))))
(+.f64 (-.f64 (fma.f64 1/3 (pow.f64 N -3) (/.f64 (+.f64 1 (/.f64 -1/2 N)) N)) (*.f64 1/4 (pow.f64 N -4))) (fma.f64 (neg.f64 (pow.f64 N -4)) 1/4 (*.f64 1/4 (pow.f64 N -4))))
(+.f64 (-.f64 (fma.f64 1/3 (pow.f64 N -3) (/.f64 (+.f64 1 (/.f64 -1/2 N)) N)) (*.f64 1/4 (pow.f64 N -4))) (fma.f64 (neg.f64 (*.f64 1/2 (pow.f64 N -2))) (*.f64 1/2 (pow.f64 N -2)) (*.f64 1/4 (pow.f64 N -4))))
(+.f64 (fma.f64 1 (fma.f64 1/3 (pow.f64 N -3) (/.f64 (+.f64 1 (/.f64 -1/2 N)) N)) (neg.f64 (*.f64 (*.f64 1/4 (pow.f64 N -4)) 1))) (fma.f64 (neg.f64 (*.f64 1/4 (pow.f64 N -4))) 1 (*.f64 (*.f64 1/4 (pow.f64 N -4)) 1)))
(+.f64 (fma.f64 1 (fma.f64 1/3 (pow.f64 N -3) (/.f64 (+.f64 1 (/.f64 -1/2 N)) N)) (neg.f64 (*.f64 (cbrt.f64 (*.f64 1/4 (pow.f64 N -4))) (pow.f64 (cbrt.f64 (*.f64 1/4 (pow.f64 N -4))) 2)))) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 1/4 (pow.f64 N -4)))) (pow.f64 (cbrt.f64 (*.f64 1/4 (pow.f64 N -4))) 2) (*.f64 (cbrt.f64 (*.f64 1/4 (pow.f64 N -4))) (pow.f64 (cbrt.f64 (*.f64 1/4 (pow.f64 N -4))) 2))))
(+.f64 (fma.f64 (pow.f64 (cbrt.f64 (fma.f64 1/3 (pow.f64 N -3) (/.f64 (+.f64 1 (/.f64 -1/2 N)) N))) 2) (cbrt.f64 (fma.f64 1/3 (pow.f64 N -3) (/.f64 (+.f64 1 (/.f64 -1/2 N)) N))) (neg.f64 (*.f64 (*.f64 1/4 (pow.f64 N -4)) 1))) (fma.f64 (neg.f64 (*.f64 1/4 (pow.f64 N -4))) 1 (*.f64 (*.f64 1/4 (pow.f64 N -4)) 1)))
(+.f64 (fma.f64 (pow.f64 (cbrt.f64 (fma.f64 1/3 (pow.f64 N -3) (/.f64 (+.f64 1 (/.f64 -1/2 N)) N))) 2) (cbrt.f64 (fma.f64 1/3 (pow.f64 N -3) (/.f64 (+.f64 1 (/.f64 -1/2 N)) N))) (neg.f64 (*.f64 (cbrt.f64 (*.f64 1/4 (pow.f64 N -4))) (pow.f64 (cbrt.f64 (*.f64 1/4 (pow.f64 N -4))) 2)))) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 1/4 (pow.f64 N -4)))) (pow.f64 (cbrt.f64 (*.f64 1/4 (pow.f64 N -4))) 2) (*.f64 (cbrt.f64 (*.f64 1/4 (pow.f64 N -4))) (pow.f64 (cbrt.f64 (*.f64 1/4 (pow.f64 N -4))) 2))))
(+.f64 (fma.f64 (sqrt.f64 (fma.f64 1/3 (pow.f64 N -3) (/.f64 (+.f64 1 (/.f64 -1/2 N)) N))) (sqrt.f64 (fma.f64 1/3 (pow.f64 N -3) (/.f64 (+.f64 1 (/.f64 -1/2 N)) N))) (neg.f64 (*.f64 (*.f64 1/4 (pow.f64 N -4)) 1))) (fma.f64 (neg.f64 (*.f64 1/4 (pow.f64 N -4))) 1 (*.f64 (*.f64 1/4 (pow.f64 N -4)) 1)))
(+.f64 (fma.f64 (sqrt.f64 (fma.f64 1/3 (pow.f64 N -3) (/.f64 (+.f64 1 (/.f64 -1/2 N)) N))) (sqrt.f64 (fma.f64 1/3 (pow.f64 N -3) (/.f64 (+.f64 1 (/.f64 -1/2 N)) N))) (neg.f64 (*.f64 (cbrt.f64 (*.f64 1/4 (pow.f64 N -4))) (pow.f64 (cbrt.f64 (*.f64 1/4 (pow.f64 N -4))) 2)))) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 1/4 (pow.f64 N -4)))) (pow.f64 (cbrt.f64 (*.f64 1/4 (pow.f64 N -4))) 2) (*.f64 (cbrt.f64 (*.f64 1/4 (pow.f64 N -4))) (pow.f64 (cbrt.f64 (*.f64 1/4 (pow.f64 N -4))) 2))))
(*.f64 1 (-.f64 (fma.f64 1/3 (pow.f64 N -3) (/.f64 (+.f64 1 (/.f64 -1/2 N)) N)) (*.f64 1/4 (pow.f64 N -4))))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 (fma.f64 1/3 (pow.f64 N -3) (/.f64 (+.f64 1 (/.f64 -1/2 N)) N)) (*.f64 1/4 (pow.f64 N -4)))) 2) (cbrt.f64 (-.f64 (fma.f64 1/3 (pow.f64 N -3) (/.f64 (+.f64 1 (/.f64 -1/2 N)) N)) (*.f64 1/4 (pow.f64 N -4)))))
(*.f64 (sqrt.f64 (-.f64 (fma.f64 1/3 (pow.f64 N -3) (/.f64 (+.f64 1 (/.f64 -1/2 N)) N)) (*.f64 1/4 (pow.f64 N -4)))) (sqrt.f64 (-.f64 (fma.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 (fma.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))) (+.f64 (pow.f64 (fma.f64 1/3 (pow.f64 N -3) (/.f64 (+.f64 1 (/.f64 -1/2 N)) N)) 2) (+.f64 (pow.f64 (*.f64 1/4 (pow.f64 N -4)) 2) (*.f64 (fma.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 (fma.f64 1/3 (pow.f64 N -3) (/.f64 (+.f64 1 (/.f64 -1/2 N)) N)) 2) (pow.f64 (*.f64 1/4 (pow.f64 N -4)) 2)) (+.f64 (fma.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 (fma.f64 1/3 (pow.f64 N -3) (/.f64 (+.f64 1 (/.f64 -1/2 N)) N)) (*.f64 1/4 (pow.f64 N -4))) 1)
(pow.f64 (cbrt.f64 (-.f64 (fma.f64 1/3 (pow.f64 N -3) (/.f64 (+.f64 1 (/.f64 -1/2 N)) N)) (*.f64 1/4 (pow.f64 N -4)))) 3)
(pow.f64 (pow.f64 (-.f64 (fma.f64 1/3 (pow.f64 N -3) (/.f64 (+.f64 1 (/.f64 -1/2 N)) N)) (*.f64 1/4 (pow.f64 N -4))) 3) 1/3)
(pow.f64 (sqrt.f64 (-.f64 (fma.f64 1/3 (pow.f64 N -3) (/.f64 (+.f64 1 (/.f64 -1/2 N)) N)) (*.f64 1/4 (pow.f64 N -4)))) 2)
(sqrt.f64 (pow.f64 (-.f64 (fma.f64 1/3 (pow.f64 N -3) (/.f64 (+.f64 1 (/.f64 -1/2 N)) N)) (*.f64 1/4 (pow.f64 N -4))) 2))
(log.f64 (exp.f64 (-.f64 (fma.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 1 (expm1.f64 (-.f64 (fma.f64 1/3 (pow.f64 N -3) (/.f64 (+.f64 1 (/.f64 -1/2 N)) N)) (*.f64 1/4 (pow.f64 N -4))))))
(cbrt.f64 (pow.f64 (-.f64 (fma.f64 1/3 (pow.f64 N -3) (/.f64 (+.f64 1 (/.f64 -1/2 N)) N)) (*.f64 1/4 (pow.f64 N -4))) 3))
(expm1.f64 (log1p.f64 (-.f64 (fma.f64 1/3 (pow.f64 N -3) (/.f64 (+.f64 1 (/.f64 -1/2 N)) N)) (*.f64 1/4 (pow.f64 N -4)))))
(exp.f64 (log.f64 (-.f64 (fma.f64 1/3 (pow.f64 N -3) (/.f64 (+.f64 1 (/.f64 -1/2 N)) N)) (*.f64 1/4 (pow.f64 N -4)))))
(exp.f64 (*.f64 (log.f64 (-.f64 (fma.f64 1/3 (pow.f64 N -3) (/.f64 (+.f64 1 (/.f64 -1/2 N)) N)) (*.f64 1/4 (pow.f64 N -4)))) 1))
(log1p.f64 (expm1.f64 (-.f64 (fma.f64 1/3 (pow.f64 N -3) (/.f64 (+.f64 1 (/.f64 -1/2 N)) N)) (*.f64 1/4 (pow.f64 N -4)))))
(fma.f64 1/3 (pow.f64 N -3) (-.f64 (/.f64 (+.f64 1 (/.f64 -1/2 N)) N) (*.f64 1/4 (pow.f64 N -4))))
(fma.f64 1 (*.f64 1/3 (pow.f64 N -3)) (-.f64 (/.f64 (+.f64 1 (/.f64 -1/2 N)) N) (*.f64 1/4 (pow.f64 N -4))))
(fma.f64 1 (fma.f64 1/3 (pow.f64 N -3) (/.f64 (+.f64 1 (/.f64 -1/2 N)) N)) (neg.f64 (*.f64 1/4 (pow.f64 N -4))))
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 1/3 (pow.f64 N -3) (/.f64 (+.f64 1 (/.f64 -1/2 N)) N))) 2) (cbrt.f64 (fma.f64 1/3 (pow.f64 N -3) (/.f64 (+.f64 1 (/.f64 -1/2 N)) N))) (neg.f64 (*.f64 1/4 (pow.f64 N -4))))
(fma.f64 (pow.f64 (/.f64 (cbrt.f64 1/3) N) 2) (/.f64 (cbrt.f64 1/3) N) (-.f64 (/.f64 (+.f64 1 (/.f64 -1/2 N)) N) (*.f64 1/4 (pow.f64 N -4))))
(fma.f64 (sqrt.f64 (fma.f64 1/3 (pow.f64 N -3) (/.f64 (+.f64 1 (/.f64 -1/2 N)) N))) (sqrt.f64 (fma.f64 1/3 (pow.f64 N -3) (/.f64 (+.f64 1 (/.f64 -1/2 N)) N))) (neg.f64 (*.f64 1/4 (pow.f64 N -4))))
(fma.f64 (*.f64 (sqrt.f64 1/3) (pow.f64 N -3/2)) (*.f64 (sqrt.f64 1/3) (pow.f64 N -3/2)) (-.f64 (/.f64 (+.f64 1 (/.f64 -1/2 N)) N) (*.f64 1/4 (pow.f64 N -4))))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 1/3 (pow.f64 N -3) (/.f64 (+.f64 1 (/.f64 -1/2 N)) N)))) 1)
(*.f64 1 (fma.f64 1/3 (pow.f64 N -3) (/.f64 (+.f64 1 (/.f64 -1/2 N)) N)))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 1/3 (pow.f64 N -3) (/.f64 (+.f64 1 (/.f64 -1/2 N)) N))) 2) (cbrt.f64 (fma.f64 1/3 (pow.f64 N -3) (/.f64 (+.f64 1 (/.f64 -1/2 N)) N))))
(*.f64 (sqrt.f64 (fma.f64 1/3 (pow.f64 N -3) (/.f64 (+.f64 1 (/.f64 -1/2 N)) N))) (sqrt.f64 (fma.f64 1/3 (pow.f64 N -3) (/.f64 (+.f64 1 (/.f64 -1/2 N)) N))))
(/.f64 (fma.f64 1/3 N (*.f64 (pow.f64 N 3) (+.f64 1 (/.f64 -1/2 N)))) (pow.f64 N 4))
(/.f64 (+.f64 (/.f64 1/27 (pow.f64 (pow.f64 N 3) 3)) (pow.f64 (/.f64 (+.f64 1 (/.f64 -1/2 N)) N) 3)) (+.f64 (pow.f64 (*.f64 1/3 (pow.f64 N -3)) 2) (-.f64 (pow.f64 (/.f64 (+.f64 1 (/.f64 -1/2 N)) N) 2) (*.f64 (*.f64 1/3 (pow.f64 N -3)) (/.f64 (+.f64 1 (/.f64 -1/2 N)) N)))))
(/.f64 (-.f64 (pow.f64 (*.f64 1/3 (pow.f64 N -3)) 2) (pow.f64 (/.f64 (+.f64 1 (/.f64 -1/2 N)) N) 2)) (-.f64 (*.f64 1/3 (pow.f64 N -3)) (/.f64 (+.f64 1 (/.f64 -1/2 N)) N)))
(/.f64 (+.f64 (*.f64 1/3 (/.f64 N (+.f64 1 (/.f64 -1/2 N)))) (*.f64 (pow.f64 N 3) 1)) (*.f64 (pow.f64 N 3) (/.f64 N (+.f64 1 (/.f64 -1/2 N)))))
(/.f64 (+.f64 (*.f64 1/3 (neg.f64 N)) (*.f64 (pow.f64 N 3) (neg.f64 (+.f64 1 (/.f64 -1/2 N))))) (*.f64 (pow.f64 N 3) (neg.f64 N)))
(/.f64 (+.f64 (/.f64 N (+.f64 1 (/.f64 -1/2 N))) (*.f64 (/.f64 (pow.f64 N 3) 1/3) 1)) (*.f64 (/.f64 (pow.f64 N 3) 1/3) (/.f64 N (+.f64 1 (/.f64 -1/2 N)))))
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(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (-.f64 (fma.f64 1/3 (pow.f64 N -3) (/.f64 1 N)) (fma.f64 1/2 (pow.f64 N -2) (*.f64 1/4 (pow.f64 N -4))))) 2) 1/2) (pow.f64 (cbrt.f64 (-.f64 (fma.f64 1/3 (pow.f64 N -3) (/.f64 1 N)) (fma.f64 1/2 (pow.f64 N -2) (*.f64 1/4 (pow.f64 N -4))))) 1/2))
(/.f64 (sqrt.f64 (-.f64 (pow.f64 (fma.f64 1/3 (pow.f64 N -3) (/.f64 1 N)) 2) (pow.f64 (fma.f64 1/2 (pow.f64 N -2) (*.f64 1/4 (pow.f64 N -4))) 2))) (sqrt.f64 (+.f64 (fma.f64 1/3 (pow.f64 N -3) (/.f64 1 N)) (fma.f64 1/2 (pow.f64 N -2) (*.f64 1/4 (pow.f64 N -4))))))
(/.f64 (sqrt.f64 (-.f64 (pow.f64 (fma.f64 1/3 (pow.f64 N -3) (/.f64 1 N)) 3) (pow.f64 (fma.f64 1/2 (pow.f64 N -2) (*.f64 1/4 (pow.f64 N -4))) 3))) (sqrt.f64 (+.f64 (pow.f64 (fma.f64 1/3 (pow.f64 N -3) (/.f64 1 N)) 2) (+.f64 (pow.f64 (fma.f64 1/2 (pow.f64 N -2) (*.f64 1/4 (pow.f64 N -4))) 2) (*.f64 (fma.f64 1/3 (pow.f64 N -3) (/.f64 1 N)) (fma.f64 1/2 (pow.f64 N -2) (*.f64 1/4 (pow.f64 N -4))))))))
(pow.f64 (-.f64 (fma.f64 1/3 (pow.f64 N -3) (/.f64 1 N)) (fma.f64 1/2 (pow.f64 N -2) (*.f64 1/4 (pow.f64 N -4)))) 1/2)
(pow.f64 (sqrt.f64 (-.f64 (fma.f64 1/3 (pow.f64 N -3) (/.f64 1 N)) (fma.f64 1/2 (pow.f64 N -2) (*.f64 1/4 (pow.f64 N -4))))) 1)
(pow.f64 (cbrt.f64 (sqrt.f64 (-.f64 (fma.f64 1/3 (pow.f64 N -3) (/.f64 1 N)) (fma.f64 1/2 (pow.f64 N -2) (*.f64 1/4 (pow.f64 N -4)))))) 3)
(pow.f64 (pow.f64 (-.f64 (fma.f64 1/3 (pow.f64 N -3) (/.f64 1 N)) (fma.f64 1/2 (pow.f64 N -2) (*.f64 1/4 (pow.f64 N -4)))) 3/2) 1/3)
(pow.f64 (pow.f64 (-.f64 (fma.f64 1/3 (pow.f64 N -3) (/.f64 1 N)) (fma.f64 1/2 (pow.f64 N -2) (*.f64 1/4 (pow.f64 N -4)))) 1/4) 2)
(fabs.f64 (sqrt.f64 (-.f64 (fma.f64 1/3 (pow.f64 N -3) (/.f64 1 N)) (fma.f64 1/2 (pow.f64 N -2) (*.f64 1/4 (pow.f64 N -4))))))
(log.f64 (exp.f64 (sqrt.f64 (-.f64 (fma.f64 1/3 (pow.f64 N -3) (/.f64 1 N)) (fma.f64 1/2 (pow.f64 N -2) (*.f64 1/4 (pow.f64 N -4)))))))
(log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (-.f64 (fma.f64 1/3 (pow.f64 N -3) (/.f64 1 N)) (fma.f64 1/2 (pow.f64 N -2) (*.f64 1/4 (pow.f64 N -4))))))))
(cbrt.f64 (pow.f64 (-.f64 (fma.f64 1/3 (pow.f64 N -3) (/.f64 1 N)) (fma.f64 1/2 (pow.f64 N -2) (*.f64 1/4 (pow.f64 N -4)))) 3/2))
(expm1.f64 (log1p.f64 (sqrt.f64 (-.f64 (fma.f64 1/3 (pow.f64 N -3) (/.f64 1 N)) (fma.f64 1/2 (pow.f64 N -2) (*.f64 1/4 (pow.f64 N -4)))))))
(exp.f64 (log.f64 (sqrt.f64 (-.f64 (fma.f64 1/3 (pow.f64 N -3) (/.f64 1 N)) (fma.f64 1/2 (pow.f64 N -2) (*.f64 1/4 (pow.f64 N -4)))))))
(exp.f64 (*.f64 (log.f64 (-.f64 (fma.f64 1/3 (pow.f64 N -3) (/.f64 1 N)) (fma.f64 1/2 (pow.f64 N -2) (*.f64 1/4 (pow.f64 N -4))))) 1/2))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (-.f64 (fma.f64 1/3 (pow.f64 N -3) (/.f64 1 N)) (fma.f64 1/2 (pow.f64 N -2) (*.f64 1/4 (pow.f64 N -4)))))) 1))
(log1p.f64 (expm1.f64 (sqrt.f64 (-.f64 (fma.f64 1/3 (pow.f64 N -3) (/.f64 1 N)) (fma.f64 1/2 (pow.f64 N -2) (*.f64 1/4 (pow.f64 N -4)))))))

simplify254.0ms (2.1%)

Algorithm
egg-herbie
Rules
1100×times-frac
976×fma-neg
604×cancel-sign-sub-inv
506×fma-def
442×log-prod
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
045512071
1112711529
2400211497
Stop Event
node limit
Counts
245 → 238
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 -1/4 (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 1/3 (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 (pow.f64 (sqrt.f64 -1/4) 2) (pow.f64 N 4))
(+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 N 3))) (/.f64 (pow.f64 (sqrt.f64 -1/4) 2) (pow.f64 N 4)))
(+.f64 (*.f64 1/36 (/.f64 1 (*.f64 (pow.f64 N 2) (pow.f64 (sqrt.f64 -1/4) 2)))) (+.f64 (*.f64 -1 (/.f64 (+.f64 (pow.f64 (/.f64 1/6 (sqrt.f64 -1/4)) 2) 1/2) (pow.f64 N 2))) (+.f64 (/.f64 (pow.f64 (sqrt.f64 -1/4) 2) (pow.f64 N 4)) (*.f64 1/3 (/.f64 1 (pow.f64 N 3))))))
(+.f64 (/.f64 1 N) (+.f64 (*.f64 -1 (/.f64 (+.f64 (pow.f64 (/.f64 1/6 (sqrt.f64 -1/4)) 2) 1/2) (pow.f64 N 2))) (+.f64 (/.f64 (pow.f64 (sqrt.f64 -1/4) 2) (pow.f64 N 4)) (+.f64 (*.f64 1/36 (/.f64 1 (*.f64 (pow.f64 N 2) (pow.f64 (sqrt.f64 -1/4) 2)))) (*.f64 1/3 (/.f64 1 (pow.f64 N 3)))))))
(/.f64 1/3 (pow.f64 N 3))
(+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 N 3))) (/.f64 1 N))
(+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 N 3))) (/.f64 1 N))
(+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 N 3))) (/.f64 1 N))
(/.f64 1 N)
(+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 N 3))) (/.f64 1 N))
(+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 N 3))) (/.f64 1 N))
(+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 N 3))) (/.f64 1 N))
(/.f64 1 N)
(+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 N 3))) (/.f64 1 N))
(+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 N 3))) (/.f64 1 N))
(+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 N 3))) (/.f64 1 N))
(/.f64 (sqrt.f64 -1/4) (pow.f64 N 2))
(+.f64 (/.f64 (sqrt.f64 -1/4) (pow.f64 N 2)) (*.f64 1/6 (/.f64 1 (*.f64 N (sqrt.f64 -1/4)))))
(+.f64 (*.f64 -1/2 (/.f64 (+.f64 (pow.f64 (/.f64 1/6 (sqrt.f64 -1/4)) 2) 1/2) (sqrt.f64 -1/4))) (+.f64 (/.f64 (sqrt.f64 -1/4) (pow.f64 N 2)) (*.f64 1/6 (/.f64 1 (*.f64 N (sqrt.f64 -1/4))))))
(+.f64 (*.f64 -1/2 (/.f64 (+.f64 (pow.f64 (/.f64 1/6 (sqrt.f64 -1/4)) 2) 1/2) (sqrt.f64 -1/4))) (+.f64 (/.f64 (sqrt.f64 -1/4) (pow.f64 N 2)) (+.f64 (*.f64 1/6 (/.f64 1 (*.f64 N (sqrt.f64 -1/4)))) (*.f64 1/2 (/.f64 (*.f64 N (-.f64 1 (*.f64 -1/6 (/.f64 (+.f64 (pow.f64 (/.f64 1/6 (sqrt.f64 -1/4)) 2) 1/2) (pow.f64 (sqrt.f64 -1/4) 2))))) (sqrt.f64 -1/4))))))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 1/3 (pow.f64 N -3) (/.f64 (+.f64 1 (/.f64 -1/2 N)) N)))) 1)
(*.f64 1 (fma.f64 1/3 (pow.f64 N -3) (/.f64 (+.f64 1 (/.f64 -1/2 N)) N)))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 1/3 (pow.f64 N -3) (/.f64 (+.f64 1 (/.f64 -1/2 N)) N))) 2) (cbrt.f64 (fma.f64 1/3 (pow.f64 N -3) (/.f64 (+.f64 1 (/.f64 -1/2 N)) N))))
(*.f64 (sqrt.f64 (fma.f64 1/3 (pow.f64 N -3) (/.f64 (+.f64 1 (/.f64 -1/2 N)) N))) (sqrt.f64 (fma.f64 1/3 (pow.f64 N -3) (/.f64 (+.f64 1 (/.f64 -1/2 N)) N))))
(/.f64 (fma.f64 1/3 N (*.f64 (pow.f64 N 3) (+.f64 1 (/.f64 -1/2 N)))) (pow.f64 N 4))
(/.f64 (+.f64 (/.f64 1/27 (pow.f64 (pow.f64 N 3) 3)) (pow.f64 (/.f64 (+.f64 1 (/.f64 -1/2 N)) N) 3)) (+.f64 (pow.f64 (*.f64 1/3 (pow.f64 N -3)) 2) (-.f64 (pow.f64 (/.f64 (+.f64 1 (/.f64 -1/2 N)) N) 2) (*.f64 (*.f64 1/3 (pow.f64 N -3)) (/.f64 (+.f64 1 (/.f64 -1/2 N)) N)))))
(/.f64 (-.f64 (pow.f64 (*.f64 1/3 (pow.f64 N -3)) 2) (pow.f64 (/.f64 (+.f64 1 (/.f64 -1/2 N)) N) 2)) (-.f64 (*.f64 1/3 (pow.f64 N -3)) (/.f64 (+.f64 1 (/.f64 -1/2 N)) N)))
(/.f64 (+.f64 (*.f64 1/3 (/.f64 N (+.f64 1 (/.f64 -1/2 N)))) (*.f64 (pow.f64 N 3) 1)) (*.f64 (pow.f64 N 3) (/.f64 N (+.f64 1 (/.f64 -1/2 N)))))
(/.f64 (+.f64 (*.f64 1/3 (neg.f64 N)) (*.f64 (pow.f64 N 3) (neg.f64 (+.f64 1 (/.f64 -1/2 N))))) (*.f64 (pow.f64 N 3) (neg.f64 N)))
(/.f64 (+.f64 (/.f64 N (+.f64 1 (/.f64 -1/2 N))) (*.f64 (/.f64 (pow.f64 N 3) 1/3) 1)) (*.f64 (/.f64 (pow.f64 N 3) 1/3) (/.f64 N (+.f64 1 (/.f64 -1/2 N)))))
(/.f64 (+.f64 N (*.f64 (/.f64 (pow.f64 N 3) 1/3) (+.f64 1 (/.f64 -1/2 N)))) (*.f64 (/.f64 (pow.f64 N 3) 1/3) N))
(/.f64 (+.f64 (neg.f64 N) (*.f64 (/.f64 (pow.f64 N 3) 1/3) (neg.f64 (+.f64 1 (/.f64 -1/2 N))))) (*.f64 (/.f64 (pow.f64 N 3) 1/3) (neg.f64 N)))
(/.f64 (+.f64 (*.f64 -1/3 (/.f64 N (+.f64 1 (/.f64 -1/2 N)))) (*.f64 (neg.f64 (pow.f64 N 3)) 1)) (*.f64 (neg.f64 (pow.f64 N 3)) (/.f64 N (+.f64 1 (/.f64 -1/2 N)))))
(/.f64 (+.f64 (*.f64 -1/3 N) (*.f64 (neg.f64 (pow.f64 N 3)) (+.f64 1 (/.f64 -1/2 N)))) (*.f64 (neg.f64 (pow.f64 N 3)) N))
(/.f64 (+.f64 (*.f64 -1/3 (neg.f64 N)) (*.f64 (neg.f64 (pow.f64 N 3)) (neg.f64 (+.f64 1 (/.f64 -1/2 N))))) (*.f64 (neg.f64 (pow.f64 N 3)) (neg.f64 N)))
(/.f64 (+.f64 (pow.f64 N 3) (*.f64 (/.f64 N (+.f64 1 (/.f64 -1/2 N))) 1/3)) (*.f64 (/.f64 N (+.f64 1 (/.f64 -1/2 N))) (pow.f64 N 3)))
(/.f64 (+.f64 (/.f64 (pow.f64 N 3) 1/3) (*.f64 (/.f64 N (+.f64 1 (/.f64 -1/2 N))) 1)) (*.f64 (/.f64 N (+.f64 1 (/.f64 -1/2 N))) (/.f64 (pow.f64 N 3) 1/3)))
(/.f64 (+.f64 (neg.f64 (pow.f64 N 3)) (*.f64 (/.f64 N (+.f64 1 (/.f64 -1/2 N))) -1/3)) (*.f64 (/.f64 N (+.f64 1 (/.f64 -1/2 N))) (neg.f64 (pow.f64 N 3))))
(/.f64 (+.f64 (*.f64 (+.f64 1 (/.f64 -1/2 N)) (pow.f64 N 3)) (*.f64 N 1/3)) (*.f64 N (pow.f64 N 3)))
(/.f64 (+.f64 (*.f64 (+.f64 1 (/.f64 -1/2 N)) (/.f64 (pow.f64 N 3) 1/3)) (*.f64 N 1)) (*.f64 N (/.f64 (pow.f64 N 3) 1/3)))
(/.f64 (+.f64 (*.f64 (+.f64 1 (/.f64 -1/2 N)) (neg.f64 (pow.f64 N 3))) (*.f64 N -1/3)) (*.f64 N (neg.f64 (pow.f64 N 3))))
(/.f64 (+.f64 (*.f64 (neg.f64 (+.f64 1 (/.f64 -1/2 N))) (pow.f64 N 3)) (*.f64 (neg.f64 N) 1/3)) (*.f64 (neg.f64 N) (pow.f64 N 3)))
(/.f64 (+.f64 (*.f64 (neg.f64 (+.f64 1 (/.f64 -1/2 N))) (/.f64 (pow.f64 N 3) 1/3)) (*.f64 (neg.f64 N) 1)) (*.f64 (neg.f64 N) (/.f64 (pow.f64 N 3) 1/3)))
(/.f64 (+.f64 (*.f64 (neg.f64 (+.f64 1 (/.f64 -1/2 N))) (neg.f64 (pow.f64 N 3))) (*.f64 (neg.f64 N) -1/3)) (*.f64 (neg.f64 N) (neg.f64 (pow.f64 N 3))))
(pow.f64 (fma.f64 1/3 (pow.f64 N -3) (/.f64 (+.f64 1 (/.f64 -1/2 N)) N)) 1)
(pow.f64 (cbrt.f64 (fma.f64 1/3 (pow.f64 N -3) (/.f64 (+.f64 1 (/.f64 -1/2 N)) N))) 3)
(pow.f64 (pow.f64 (fma.f64 1/3 (pow.f64 N -3) (/.f64 (+.f64 1 (/.f64 -1/2 N)) N)) 3) 1/3)
(pow.f64 (sqrt.f64 (fma.f64 1/3 (pow.f64 N -3) (/.f64 (+.f64 1 (/.f64 -1/2 N)) N))) 2)
(sqrt.f64 (pow.f64 (fma.f64 1/3 (pow.f64 N -3) (/.f64 (+.f64 1 (/.f64 -1/2 N)) N)) 2))
(log.f64 (exp.f64 (fma.f64 1/3 (pow.f64 N -3) (/.f64 (+.f64 1 (/.f64 -1/2 N)) N))))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 1/3 (pow.f64 N -3) (/.f64 (+.f64 1 (/.f64 -1/2 N)) N)))))
(cbrt.f64 (pow.f64 (fma.f64 1/3 (pow.f64 N -3) (/.f64 (+.f64 1 (/.f64 -1/2 N)) N)) 3))
(expm1.f64 (log1p.f64 (fma.f64 1/3 (pow.f64 N -3) (/.f64 (+.f64 1 (/.f64 -1/2 N)) N))))
(exp.f64 (log.f64 (fma.f64 1/3 (pow.f64 N -3) (/.f64 (+.f64 1 (/.f64 -1/2 N)) N))))
(exp.f64 (*.f64 (log.f64 (fma.f64 1/3 (pow.f64 N -3) (/.f64 (+.f64 1 (/.f64 -1/2 N)) N))) 1))
(log1p.f64 (expm1.f64 (fma.f64 1/3 (pow.f64 N -3) (/.f64 (+.f64 1 (/.f64 -1/2 N)) N))))
(fma.f64 1/3 (pow.f64 N -3) (/.f64 (+.f64 1 (/.f64 -1/2 N)) N))
(fma.f64 1 (*.f64 1/3 (pow.f64 N -3)) (/.f64 (+.f64 1 (/.f64 -1/2 N)) N))
(fma.f64 1 (/.f64 (+.f64 1 (/.f64 -1/2 N)) N) (*.f64 1/3 (pow.f64 N -3)))
(fma.f64 (+.f64 1 (/.f64 -1/2 N)) (/.f64 1 N) (*.f64 1/3 (pow.f64 N -3)))
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 1 (/.f64 -1/2 N)) N)) 2) (cbrt.f64 (/.f64 (+.f64 1 (/.f64 -1/2 N)) N)) (*.f64 1/3 (pow.f64 N -3)))
(fma.f64 (pow.f64 (/.f64 (cbrt.f64 1/3) N) 2) (/.f64 (cbrt.f64 1/3) N) (/.f64 (+.f64 1 (/.f64 -1/2 N)) N))
(fma.f64 (sqrt.f64 (/.f64 (+.f64 1 (/.f64 -1/2 N)) N)) (sqrt.f64 (/.f64 (+.f64 1 (/.f64 -1/2 N)) N)) (*.f64 1/3 (pow.f64 N -3)))
(fma.f64 (*.f64 (sqrt.f64 1/3) (pow.f64 N -3/2)) (*.f64 (sqrt.f64 1/3) (pow.f64 N -3/2)) (/.f64 (+.f64 1 (/.f64 -1/2 N)) N))
(+.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 (fma.f64 1/3 (pow.f64 N -3) (/.f64 (+.f64 1 (/.f64 -1/2 N)) N)) (neg.f64 (*.f64 1/4 (pow.f64 N -4))))
(+.f64 (-.f64 (fma.f64 1/3 (pow.f64 N -3) (/.f64 (+.f64 1 (/.f64 -1/2 N)) N)) (*.f64 1/4 (pow.f64 N -4))) (fma.f64 (neg.f64 (pow.f64 N -4)) 1/4 (*.f64 1/4 (pow.f64 N -4))))
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(+.f64 (fma.f64 (pow.f64 (cbrt.f64 (fma.f64 1/3 (pow.f64 N -3) (/.f64 1 N))) 2) (cbrt.f64 (fma.f64 1/3 (pow.f64 N -3) (/.f64 1 N))) (neg.f64 (*.f64 (fma.f64 1/2 (pow.f64 N -2) (*.f64 1/4 (pow.f64 N -4))) 1))) (fma.f64 (neg.f64 (fma.f64 1/2 (pow.f64 N -2) (*.f64 1/4 (pow.f64 N -4)))) 1 (*.f64 (fma.f64 1/2 (pow.f64 N -2) (*.f64 1/4 (pow.f64 N -4))) 1)))
(+.f64 (fma.f64 (pow.f64 (cbrt.f64 (fma.f64 1/3 (pow.f64 N -3) (/.f64 1 N))) 2) (cbrt.f64 (fma.f64 1/3 (pow.f64 N -3) (/.f64 1 N))) (neg.f64 (*.f64 (cbrt.f64 (fma.f64 1/2 (pow.f64 N -2) (*.f64 1/4 (pow.f64 N -4)))) (pow.f64 (cbrt.f64 (fma.f64 1/2 (pow.f64 N -2) (*.f64 1/4 (pow.f64 N -4)))) 2)))) (fma.f64 (neg.f64 (cbrt.f64 (fma.f64 1/2 (pow.f64 N -2) (*.f64 1/4 (pow.f64 N -4))))) (pow.f64 (cbrt.f64 (fma.f64 1/2 (pow.f64 N -2) (*.f64 1/4 (pow.f64 N -4)))) 2) (*.f64 (cbrt.f64 (fma.f64 1/2 (pow.f64 N -2) (*.f64 1/4 (pow.f64 N -4)))) (pow.f64 (cbrt.f64 (fma.f64 1/2 (pow.f64 N -2) (*.f64 1/4 (pow.f64 N -4)))) 2))))
(+.f64 (fma.f64 (sqrt.f64 (fma.f64 1/3 (pow.f64 N -3) (/.f64 1 N))) (sqrt.f64 (fma.f64 1/3 (pow.f64 N -3) (/.f64 1 N))) (neg.f64 (*.f64 (fma.f64 1/2 (pow.f64 N -2) (*.f64 1/4 (pow.f64 N -4))) 1))) (fma.f64 (neg.f64 (fma.f64 1/2 (pow.f64 N -2) (*.f64 1/4 (pow.f64 N -4)))) 1 (*.f64 (fma.f64 1/2 (pow.f64 N -2) (*.f64 1/4 (pow.f64 N -4))) 1)))
(+.f64 (fma.f64 (sqrt.f64 (fma.f64 1/3 (pow.f64 N -3) (/.f64 1 N))) (sqrt.f64 (fma.f64 1/3 (pow.f64 N -3) (/.f64 1 N))) (neg.f64 (*.f64 (cbrt.f64 (fma.f64 1/2 (pow.f64 N -2) (*.f64 1/4 (pow.f64 N -4)))) (pow.f64 (cbrt.f64 (fma.f64 1/2 (pow.f64 N -2) (*.f64 1/4 (pow.f64 N -4)))) 2)))) (fma.f64 (neg.f64 (cbrt.f64 (fma.f64 1/2 (pow.f64 N -2) (*.f64 1/4 (pow.f64 N -4))))) (pow.f64 (cbrt.f64 (fma.f64 1/2 (pow.f64 N -2) (*.f64 1/4 (pow.f64 N -4)))) 2) (*.f64 (cbrt.f64 (fma.f64 1/2 (pow.f64 N -2) (*.f64 1/4 (pow.f64 N -4)))) (pow.f64 (cbrt.f64 (fma.f64 1/2 (pow.f64 N -2) (*.f64 1/4 (pow.f64 N -4)))) 2))))
(-.f64 (fma.f64 1/3 (pow.f64 N -3) (/.f64 1 N)) (fma.f64 1/2 (pow.f64 N -2) (*.f64 1/4 (pow.f64 N -4))))
(-.f64 (exp.f64 (log1p.f64 (-.f64 (fma.f64 1/3 (pow.f64 N -3) (/.f64 1 N)) (fma.f64 1/2 (pow.f64 N -2) (*.f64 1/4 (pow.f64 N -4)))))) 1)
(*.f64 1 (-.f64 (fma.f64 1/3 (pow.f64 N -3) (/.f64 1 N)) (fma.f64 1/2 (pow.f64 N -2) (*.f64 1/4 (pow.f64 N -4)))))
(*.f64 (sqrt.f64 (-.f64 (fma.f64 1/3 (pow.f64 N -3) (/.f64 1 N)) (fma.f64 1/2 (pow.f64 N -2) (*.f64 1/4 (pow.f64 N -4))))) (sqrt.f64 (-.f64 (fma.f64 1/3 (pow.f64 N -3) (/.f64 1 N)) (fma.f64 1/2 (pow.f64 N -2) (*.f64 1/4 (pow.f64 N -4))))))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 (fma.f64 1/3 (pow.f64 N -3) (/.f64 1 N)) (fma.f64 1/2 (pow.f64 N -2) (*.f64 1/4 (pow.f64 N -4))))) 2) (cbrt.f64 (-.f64 (fma.f64 1/3 (pow.f64 N -3) (/.f64 1 N)) (fma.f64 1/2 (pow.f64 N -2) (*.f64 1/4 (pow.f64 N -4))))))
(/.f64 (-.f64 (pow.f64 (fma.f64 1/3 (pow.f64 N -3) (/.f64 1 N)) 3) (pow.f64 (fma.f64 1/2 (pow.f64 N -2) (*.f64 1/4 (pow.f64 N -4))) 3)) (+.f64 (pow.f64 (fma.f64 1/3 (pow.f64 N -3) (/.f64 1 N)) 2) (+.f64 (pow.f64 (fma.f64 1/2 (pow.f64 N -2) (*.f64 1/4 (pow.f64 N -4))) 2) (*.f64 (fma.f64 1/3 (pow.f64 N -3) (/.f64 1 N)) (fma.f64 1/2 (pow.f64 N -2) (*.f64 1/4 (pow.f64 N -4)))))))
(/.f64 (-.f64 (pow.f64 (fma.f64 1/3 (pow.f64 N -3) (/.f64 1 N)) 2) (pow.f64 (fma.f64 1/2 (pow.f64 N -2) (*.f64 1/4 (pow.f64 N -4))) 2)) (+.f64 (fma.f64 1/3 (pow.f64 N -3) (/.f64 1 N)) (fma.f64 1/2 (pow.f64 N -2) (*.f64 1/4 (pow.f64 N -4)))))
(sqrt.f64 (pow.f64 (-.f64 (fma.f64 1/3 (pow.f64 N -3) (/.f64 1 N)) (fma.f64 1/2 (pow.f64 N -2) (*.f64 1/4 (pow.f64 N -4)))) 2))
(log.f64 (exp.f64 (-.f64 (fma.f64 1/3 (pow.f64 N -3) (/.f64 1 N)) (fma.f64 1/2 (pow.f64 N -2) (*.f64 1/4 (pow.f64 N -4))))))
(log.f64 (+.f64 1 (expm1.f64 (-.f64 (fma.f64 1/3 (pow.f64 N -3) (/.f64 1 N)) (fma.f64 1/2 (pow.f64 N -2) (*.f64 1/4 (pow.f64 N -4)))))))
(cbrt.f64 (pow.f64 (-.f64 (fma.f64 1/3 (pow.f64 N -3) (/.f64 1 N)) (fma.f64 1/2 (pow.f64 N -2) (*.f64 1/4 (pow.f64 N -4)))) 3))
(cbrt.f64 (*.f64 (pow.f64 (-.f64 (fma.f64 1/3 (pow.f64 N -3) (/.f64 1 N)) (fma.f64 1/2 (pow.f64 N -2) (*.f64 1/4 (pow.f64 N -4)))) 3/2) (pow.f64 (-.f64 (fma.f64 1/3 (pow.f64 N -3) (/.f64 1 N)) (fma.f64 1/2 (pow.f64 N -2) (*.f64 1/4 (pow.f64 N -4)))) 3/2)))
(expm1.f64 (log1p.f64 (-.f64 (fma.f64 1/3 (pow.f64 N -3) (/.f64 1 N)) (fma.f64 1/2 (pow.f64 N -2) (*.f64 1/4 (pow.f64 N -4))))))
(exp.f64 (log.f64 (-.f64 (fma.f64 1/3 (pow.f64 N -3) (/.f64 1 N)) (fma.f64 1/2 (pow.f64 N -2) (*.f64 1/4 (pow.f64 N -4))))))
(exp.f64 (*.f64 (log.f64 (-.f64 (fma.f64 1/3 (pow.f64 N -3) (/.f64 1 N)) (fma.f64 1/2 (pow.f64 N -2) (*.f64 1/4 (pow.f64 N -4))))) 1))
(log1p.f64 (expm1.f64 (-.f64 (fma.f64 1/3 (pow.f64 N -3) (/.f64 1 N)) (fma.f64 1/2 (pow.f64 N -2) (*.f64 1/4 (pow.f64 N -4))))))
(fma.f64 1 (fma.f64 1/3 (pow.f64 N -3) (/.f64 1 N)) (neg.f64 (fma.f64 1/2 (pow.f64 N -2) (*.f64 1/4 (pow.f64 N -4)))))
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 1/3 (pow.f64 N -3) (/.f64 1 N))) 2) (cbrt.f64 (fma.f64 1/3 (pow.f64 N -3) (/.f64 1 N))) (neg.f64 (fma.f64 1/2 (pow.f64 N -2) (*.f64 1/4 (pow.f64 N -4)))))
(fma.f64 (sqrt.f64 (fma.f64 1/3 (pow.f64 N -3) (/.f64 1 N))) (sqrt.f64 (fma.f64 1/3 (pow.f64 N -3) (/.f64 1 N))) (neg.f64 (fma.f64 1/2 (pow.f64 N -2) (*.f64 1/4 (pow.f64 N -4)))))
(+.f64 (*.f64 1/3 (pow.f64 N -3)) (/.f64 1 N))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 1/3 (pow.f64 N -3) (/.f64 1 N)))) 1)
(*.f64 1 (fma.f64 1/3 (pow.f64 N -3) (/.f64 1 N)))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 1/3 (pow.f64 N -3) (/.f64 1 N))) 2) (cbrt.f64 (fma.f64 1/3 (pow.f64 N -3) (/.f64 1 N))))
(*.f64 (sqrt.f64 (fma.f64 1/3 (pow.f64 N -3) (/.f64 1 N))) (sqrt.f64 (fma.f64 1/3 (pow.f64 N -3) (/.f64 1 N))))
(pow.f64 (fma.f64 1/3 (pow.f64 N -3) (/.f64 1 N)) 1)
(pow.f64 (cbrt.f64 (fma.f64 1/3 (pow.f64 N -3) (/.f64 1 N))) 3)
(pow.f64 (pow.f64 (fma.f64 1/3 (pow.f64 N -3) (/.f64 1 N)) 3) 1/3)
(pow.f64 (sqrt.f64 (fma.f64 1/3 (pow.f64 N -3) (/.f64 1 N))) 2)
(sqrt.f64 (pow.f64 (fma.f64 1/3 (pow.f64 N -3) (/.f64 1 N)) 2))
(log.f64 (exp.f64 (fma.f64 1/3 (pow.f64 N -3) (/.f64 1 N))))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 1/3 (pow.f64 N -3) (/.f64 1 N)))))
(cbrt.f64 (pow.f64 (fma.f64 1/3 (pow.f64 N -3) (/.f64 1 N)) 3))
(expm1.f64 (log1p.f64 (fma.f64 1/3 (pow.f64 N -3) (/.f64 1 N))))
(exp.f64 (log.f64 (fma.f64 1/3 (pow.f64 N -3) (/.f64 1 N))))
(exp.f64 (*.f64 (log.f64 (fma.f64 1/3 (pow.f64 N -3) (/.f64 1 N))) 1))
(log1p.f64 (expm1.f64 (fma.f64 1/3 (pow.f64 N -3) (/.f64 1 N))))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (-.f64 (fma.f64 1/3 (pow.f64 N -3) (/.f64 1 N)) (fma.f64 1/2 (pow.f64 N -2) (*.f64 1/4 (pow.f64 N -4))))))) 1)
(*.f64 1 (sqrt.f64 (-.f64 (fma.f64 1/3 (pow.f64 N -3) (/.f64 1 N)) (fma.f64 1/2 (pow.f64 N -2) (*.f64 1/4 (pow.f64 N -4))))))
(*.f64 (cbrt.f64 (-.f64 (fma.f64 1/3 (pow.f64 N -3) (/.f64 1 N)) (fma.f64 1/2 (pow.f64 N -2) (*.f64 1/4 (pow.f64 N -4))))) (cbrt.f64 (sqrt.f64 (-.f64 (fma.f64 1/3 (pow.f64 N -3) (/.f64 1 N)) (fma.f64 1/2 (pow.f64 N -2) (*.f64 1/4 (pow.f64 N -4)))))))
(*.f64 (pow.f64 (-.f64 (fma.f64 1/3 (pow.f64 N -3) (/.f64 1 N)) (fma.f64 1/2 (pow.f64 N -2) (*.f64 1/4 (pow.f64 N -4)))) 1/4) (pow.f64 (-.f64 (fma.f64 1/3 (pow.f64 N -3) (/.f64 1 N)) (fma.f64 1/2 (pow.f64 N -2) (*.f64 1/4 (pow.f64 N -4)))) 1/4))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (-.f64 (fma.f64 1/3 (pow.f64 N -3) (/.f64 1 N)) (fma.f64 1/2 (pow.f64 N -2) (*.f64 1/4 (pow.f64 N -4))))) 2)) (sqrt.f64 (cbrt.f64 (-.f64 (fma.f64 1/3 (pow.f64 N -3) (/.f64 1 N)) (fma.f64 1/2 (pow.f64 N -2) (*.f64 1/4 (pow.f64 N -4)))))))
(*.f64 (pow.f64 1 1/2) (sqrt.f64 (-.f64 (fma.f64 1/3 (pow.f64 N -3) (/.f64 1 N)) (fma.f64 1/2 (pow.f64 N -2) (*.f64 1/4 (pow.f64 N -4))))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (-.f64 (fma.f64 1/3 (pow.f64 N -3) (/.f64 1 N)) (fma.f64 1/2 (pow.f64 N -2) (*.f64 1/4 (pow.f64 N -4))))) 2) 1/2) (pow.f64 (cbrt.f64 (-.f64 (fma.f64 1/3 (pow.f64 N -3) (/.f64 1 N)) (fma.f64 1/2 (pow.f64 N -2) (*.f64 1/4 (pow.f64 N -4))))) 1/2))
(/.f64 (sqrt.f64 (-.f64 (pow.f64 (fma.f64 1/3 (pow.f64 N -3) (/.f64 1 N)) 2) (pow.f64 (fma.f64 1/2 (pow.f64 N -2) (*.f64 1/4 (pow.f64 N -4))) 2))) (sqrt.f64 (+.f64 (fma.f64 1/3 (pow.f64 N -3) (/.f64 1 N)) (fma.f64 1/2 (pow.f64 N -2) (*.f64 1/4 (pow.f64 N -4))))))
(/.f64 (sqrt.f64 (-.f64 (pow.f64 (fma.f64 1/3 (pow.f64 N -3) (/.f64 1 N)) 3) (pow.f64 (fma.f64 1/2 (pow.f64 N -2) (*.f64 1/4 (pow.f64 N -4))) 3))) (sqrt.f64 (+.f64 (pow.f64 (fma.f64 1/3 (pow.f64 N -3) (/.f64 1 N)) 2) (+.f64 (pow.f64 (fma.f64 1/2 (pow.f64 N -2) (*.f64 1/4 (pow.f64 N -4))) 2) (*.f64 (fma.f64 1/3 (pow.f64 N -3) (/.f64 1 N)) (fma.f64 1/2 (pow.f64 N -2) (*.f64 1/4 (pow.f64 N -4))))))))
(pow.f64 (-.f64 (fma.f64 1/3 (pow.f64 N -3) (/.f64 1 N)) (fma.f64 1/2 (pow.f64 N -2) (*.f64 1/4 (pow.f64 N -4)))) 1/2)
(pow.f64 (sqrt.f64 (-.f64 (fma.f64 1/3 (pow.f64 N -3) (/.f64 1 N)) (fma.f64 1/2 (pow.f64 N -2) (*.f64 1/4 (pow.f64 N -4))))) 1)
(pow.f64 (cbrt.f64 (sqrt.f64 (-.f64 (fma.f64 1/3 (pow.f64 N -3) (/.f64 1 N)) (fma.f64 1/2 (pow.f64 N -2) (*.f64 1/4 (pow.f64 N -4)))))) 3)
(pow.f64 (pow.f64 (-.f64 (fma.f64 1/3 (pow.f64 N -3) (/.f64 1 N)) (fma.f64 1/2 (pow.f64 N -2) (*.f64 1/4 (pow.f64 N -4)))) 3/2) 1/3)
(pow.f64 (pow.f64 (-.f64 (fma.f64 1/3 (pow.f64 N -3) (/.f64 1 N)) (fma.f64 1/2 (pow.f64 N -2) (*.f64 1/4 (pow.f64 N -4)))) 1/4) 2)
(fabs.f64 (sqrt.f64 (-.f64 (fma.f64 1/3 (pow.f64 N -3) (/.f64 1 N)) (fma.f64 1/2 (pow.f64 N -2) (*.f64 1/4 (pow.f64 N -4))))))
(log.f64 (exp.f64 (sqrt.f64 (-.f64 (fma.f64 1/3 (pow.f64 N -3) (/.f64 1 N)) (fma.f64 1/2 (pow.f64 N -2) (*.f64 1/4 (pow.f64 N -4)))))))
(log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (-.f64 (fma.f64 1/3 (pow.f64 N -3) (/.f64 1 N)) (fma.f64 1/2 (pow.f64 N -2) (*.f64 1/4 (pow.f64 N -4))))))))
(cbrt.f64 (pow.f64 (-.f64 (fma.f64 1/3 (pow.f64 N -3) (/.f64 1 N)) (fma.f64 1/2 (pow.f64 N -2) (*.f64 1/4 (pow.f64 N -4)))) 3/2))
(expm1.f64 (log1p.f64 (sqrt.f64 (-.f64 (fma.f64 1/3 (pow.f64 N -3) (/.f64 1 N)) (fma.f64 1/2 (pow.f64 N -2) (*.f64 1/4 (pow.f64 N -4)))))))
(exp.f64 (log.f64 (sqrt.f64 (-.f64 (fma.f64 1/3 (pow.f64 N -3) (/.f64 1 N)) (fma.f64 1/2 (pow.f64 N -2) (*.f64 1/4 (pow.f64 N -4)))))))
(exp.f64 (*.f64 (log.f64 (-.f64 (fma.f64 1/3 (pow.f64 N -3) (/.f64 1 N)) (fma.f64 1/2 (pow.f64 N -2) (*.f64 1/4 (pow.f64 N -4))))) 1/2))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (-.f64 (fma.f64 1/3 (pow.f64 N -3) (/.f64 1 N)) (fma.f64 1/2 (pow.f64 N -2) (*.f64 1/4 (pow.f64 N -4)))))) 1))
(log1p.f64 (expm1.f64 (sqrt.f64 (-.f64 (fma.f64 1/3 (pow.f64 N -3) (/.f64 1 N)) (fma.f64 1/2 (pow.f64 N -2) (*.f64 1/4 (pow.f64 N -4)))))))
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 N) (/.f64 1/2 (*.f64 N N))))
(+.f64 (+.f64 (/.f64 1/3 (pow.f64 N 3)) (/.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 1/3 (pow.f64 N 3)) (-.f64 (/.f64 1 N) (/.f64 1/2 (*.f64 N N))))
(+.f64 (+.f64 (/.f64 1/3 (pow.f64 N 3)) (/.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 1/3 (pow.f64 N 3)) (-.f64 (/.f64 1 N) (/.f64 1/2 (*.f64 N N))))
(+.f64 (+.f64 (/.f64 1/3 (pow.f64 N 3)) (/.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 1/3 (pow.f64 N 3)) (-.f64 (/.f64 1 N) (/.f64 1/2 (*.f64 N N))))
(+.f64 (+.f64 (/.f64 1/3 (pow.f64 N 3)) (/.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 1/3 (pow.f64 N 3)) (-.f64 (/.f64 1 N) (/.f64 1/2 (*.f64 N N))))
(+.f64 (+.f64 (/.f64 1/3 (pow.f64 N 3)) (/.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 1/3 (pow.f64 N 3)) (-.f64 (/.f64 1 N) (/.f64 1/2 (*.f64 N N))))
(+.f64 (+.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 1 N)) (/.f64 -1/2 (*.f64 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 (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 1/3 (pow.f64 N 3)) (+.f64 (/.f64 -1/4 (pow.f64 N 4)) (/.f64 -1/2 (*.f64 N N))))
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (-.f64 (/.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 (/.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 1/2 (*.f64 N N)) (/.f64 1/4 (pow.f64 N 4)))))
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(*.f64 (cbrt.f64 (+.f64 (/.f64 1 N) (fma.f64 1/3 (pow.f64 N -3) (fma.f64 -1/2 (pow.f64 N -2) (*.f64 -1/4 (pow.f64 N -4)))))) (cbrt.f64 (sqrt.f64 (+.f64 (/.f64 1 N) (fma.f64 1/3 (pow.f64 N -3) (fma.f64 -1/2 (pow.f64 N -2) (*.f64 -1/4 (pow.f64 N -4))))))))
(*.f64 (pow.f64 (-.f64 (fma.f64 1/3 (pow.f64 N -3) (/.f64 1 N)) (fma.f64 1/2 (pow.f64 N -2) (*.f64 1/4 (pow.f64 N -4)))) 1/4) (pow.f64 (-.f64 (fma.f64 1/3 (pow.f64 N -3) (/.f64 1 N)) (fma.f64 1/2 (pow.f64 N -2) (*.f64 1/4 (pow.f64 N -4)))) 1/4))
(sqrt.f64 (-.f64 (fma.f64 1/3 (pow.f64 N -3) (/.f64 1 N)) (fma.f64 1/2 (pow.f64 N -2) (*.f64 1/4 (pow.f64 N -4)))))
(sqrt.f64 (+.f64 (/.f64 1 N) (fma.f64 1/3 (pow.f64 N -3) (fma.f64 -1/2 (pow.f64 N -2) (*.f64 -1/4 (pow.f64 N -4))))))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (-.f64 (fma.f64 1/3 (pow.f64 N -3) (/.f64 1 N)) (fma.f64 1/2 (pow.f64 N -2) (*.f64 1/4 (pow.f64 N -4))))) 2)) (sqrt.f64 (cbrt.f64 (-.f64 (fma.f64 1/3 (pow.f64 N -3) (/.f64 1 N)) (fma.f64 1/2 (pow.f64 N -2) (*.f64 1/4 (pow.f64 N -4)))))))
(*.f64 (fabs.f64 (cbrt.f64 (-.f64 (fma.f64 1/3 (pow.f64 N -3) (/.f64 1 N)) (fma.f64 1/2 (pow.f64 N -2) (*.f64 1/4 (pow.f64 N -4)))))) (sqrt.f64 (cbrt.f64 (-.f64 (fma.f64 1/3 (pow.f64 N -3) (/.f64 1 N)) (fma.f64 1/2 (pow.f64 N -2) (*.f64 1/4 (pow.f64 N -4)))))))
(*.f64 (cbrt.f64 (+.f64 (/.f64 1 N) (fma.f64 1/3 (pow.f64 N -3) (fma.f64 -1/2 (pow.f64 N -2) (*.f64 -1/4 (pow.f64 N -4)))))) (sqrt.f64 (cbrt.f64 (+.f64 (/.f64 1 N) (fma.f64 1/3 (pow.f64 N -3) (fma.f64 -1/2 (pow.f64 N -2) (*.f64 -1/4 (pow.f64 N -4))))))))
(*.f64 (pow.f64 1 1/2) (sqrt.f64 (-.f64 (fma.f64 1/3 (pow.f64 N -3) (/.f64 1 N)) (fma.f64 1/2 (pow.f64 N -2) (*.f64 1/4 (pow.f64 N -4))))))
(sqrt.f64 (-.f64 (fma.f64 1/3 (pow.f64 N -3) (/.f64 1 N)) (fma.f64 1/2 (pow.f64 N -2) (*.f64 1/4 (pow.f64 N -4)))))
(sqrt.f64 (+.f64 (/.f64 1 N) (fma.f64 1/3 (pow.f64 N -3) (fma.f64 -1/2 (pow.f64 N -2) (*.f64 -1/4 (pow.f64 N -4))))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (-.f64 (fma.f64 1/3 (pow.f64 N -3) (/.f64 1 N)) (fma.f64 1/2 (pow.f64 N -2) (*.f64 1/4 (pow.f64 N -4))))) 2) 1/2) (pow.f64 (cbrt.f64 (-.f64 (fma.f64 1/3 (pow.f64 N -3) (/.f64 1 N)) (fma.f64 1/2 (pow.f64 N -2) (*.f64 1/4 (pow.f64 N -4))))) 1/2))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (-.f64 (fma.f64 1/3 (pow.f64 N -3) (/.f64 1 N)) (fma.f64 1/2 (pow.f64 N -2) (*.f64 1/4 (pow.f64 N -4))))) 2)) (sqrt.f64 (cbrt.f64 (-.f64 (fma.f64 1/3 (pow.f64 N -3) (/.f64 1 N)) (fma.f64 1/2 (pow.f64 N -2) (*.f64 1/4 (pow.f64 N -4)))))))
(*.f64 (fabs.f64 (cbrt.f64 (-.f64 (fma.f64 1/3 (pow.f64 N -3) (/.f64 1 N)) (fma.f64 1/2 (pow.f64 N -2) (*.f64 1/4 (pow.f64 N -4)))))) (sqrt.f64 (cbrt.f64 (-.f64 (fma.f64 1/3 (pow.f64 N -3) (/.f64 1 N)) (fma.f64 1/2 (pow.f64 N -2) (*.f64 1/4 (pow.f64 N -4)))))))
(*.f64 (cbrt.f64 (+.f64 (/.f64 1 N) (fma.f64 1/3 (pow.f64 N -3) (fma.f64 -1/2 (pow.f64 N -2) (*.f64 -1/4 (pow.f64 N -4)))))) (sqrt.f64 (cbrt.f64 (+.f64 (/.f64 1 N) (fma.f64 1/3 (pow.f64 N -3) (fma.f64 -1/2 (pow.f64 N -2) (*.f64 -1/4 (pow.f64 N -4))))))))
(/.f64 (sqrt.f64 (-.f64 (pow.f64 (fma.f64 1/3 (pow.f64 N -3) (/.f64 1 N)) 2) (pow.f64 (fma.f64 1/2 (pow.f64 N -2) (*.f64 1/4 (pow.f64 N -4))) 2))) (sqrt.f64 (+.f64 (fma.f64 1/3 (pow.f64 N -3) (/.f64 1 N)) (fma.f64 1/2 (pow.f64 N -2) (*.f64 1/4 (pow.f64 N -4))))))
(/.f64 (sqrt.f64 (-.f64 (pow.f64 (fma.f64 1/3 (pow.f64 N -3) (/.f64 1 N)) 3) (pow.f64 (fma.f64 1/2 (pow.f64 N -2) (*.f64 1/4 (pow.f64 N -4))) 3))) (sqrt.f64 (+.f64 (pow.f64 (fma.f64 1/3 (pow.f64 N -3) (/.f64 1 N)) 2) (+.f64 (pow.f64 (fma.f64 1/2 (pow.f64 N -2) (*.f64 1/4 (pow.f64 N -4))) 2) (*.f64 (fma.f64 1/3 (pow.f64 N -3) (/.f64 1 N)) (fma.f64 1/2 (pow.f64 N -2) (*.f64 1/4 (pow.f64 N -4))))))))
(/.f64 (sqrt.f64 (-.f64 (pow.f64 (fma.f64 1/3 (pow.f64 N -3) (/.f64 1 N)) 3) (pow.f64 (fma.f64 1/2 (pow.f64 N -2) (*.f64 1/4 (pow.f64 N -4))) 3))) (sqrt.f64 (+.f64 (+.f64 (pow.f64 (fma.f64 1/3 (pow.f64 N -3) (/.f64 1 N)) 2) (pow.f64 (fma.f64 1/2 (pow.f64 N -2) (*.f64 1/4 (pow.f64 N -4))) 2)) (*.f64 (fma.f64 1/3 (pow.f64 N -3) (/.f64 1 N)) (fma.f64 1/2 (pow.f64 N -2) (*.f64 1/4 (pow.f64 N -4)))))))
(/.f64 (sqrt.f64 (-.f64 (pow.f64 (fma.f64 1/3 (pow.f64 N -3) (/.f64 1 N)) 3) (pow.f64 (fma.f64 1/2 (pow.f64 N -2) (*.f64 1/4 (pow.f64 N -4))) 3))) (sqrt.f64 (+.f64 (pow.f64 (fma.f64 1/3 (pow.f64 N -3) (/.f64 1 N)) 2) (*.f64 (fma.f64 1/2 (pow.f64 N -2) (*.f64 1/4 (pow.f64 N -4))) (+.f64 (fma.f64 1/3 (pow.f64 N -3) (/.f64 1 N)) (fma.f64 1/2 (pow.f64 N -2) (*.f64 1/4 (pow.f64 N -4))))))))
(pow.f64 (-.f64 (fma.f64 1/3 (pow.f64 N -3) (/.f64 1 N)) (fma.f64 1/2 (pow.f64 N -2) (*.f64 1/4 (pow.f64 N -4)))) 1/2)
(sqrt.f64 (-.f64 (fma.f64 1/3 (pow.f64 N -3) (/.f64 1 N)) (fma.f64 1/2 (pow.f64 N -2) (*.f64 1/4 (pow.f64 N -4)))))
(sqrt.f64 (+.f64 (/.f64 1 N) (fma.f64 1/3 (pow.f64 N -3) (fma.f64 -1/2 (pow.f64 N -2) (*.f64 -1/4 (pow.f64 N -4))))))
(pow.f64 (sqrt.f64 (-.f64 (fma.f64 1/3 (pow.f64 N -3) (/.f64 1 N)) (fma.f64 1/2 (pow.f64 N -2) (*.f64 1/4 (pow.f64 N -4))))) 1)
(sqrt.f64 (-.f64 (fma.f64 1/3 (pow.f64 N -3) (/.f64 1 N)) (fma.f64 1/2 (pow.f64 N -2) (*.f64 1/4 (pow.f64 N -4)))))
(sqrt.f64 (+.f64 (/.f64 1 N) (fma.f64 1/3 (pow.f64 N -3) (fma.f64 -1/2 (pow.f64 N -2) (*.f64 -1/4 (pow.f64 N -4))))))
(pow.f64 (cbrt.f64 (sqrt.f64 (-.f64 (fma.f64 1/3 (pow.f64 N -3) (/.f64 1 N)) (fma.f64 1/2 (pow.f64 N -2) (*.f64 1/4 (pow.f64 N -4)))))) 3)
(sqrt.f64 (-.f64 (fma.f64 1/3 (pow.f64 N -3) (/.f64 1 N)) (fma.f64 1/2 (pow.f64 N -2) (*.f64 1/4 (pow.f64 N -4)))))
(sqrt.f64 (+.f64 (/.f64 1 N) (fma.f64 1/3 (pow.f64 N -3) (fma.f64 -1/2 (pow.f64 N -2) (*.f64 -1/4 (pow.f64 N -4))))))
(pow.f64 (pow.f64 (-.f64 (fma.f64 1/3 (pow.f64 N -3) (/.f64 1 N)) (fma.f64 1/2 (pow.f64 N -2) (*.f64 1/4 (pow.f64 N -4)))) 3/2) 1/3)
(cbrt.f64 (pow.f64 (-.f64 (fma.f64 1/3 (pow.f64 N -3) (/.f64 1 N)) (fma.f64 1/2 (pow.f64 N -2) (*.f64 1/4 (pow.f64 N -4)))) 3/2))
(cbrt.f64 (pow.f64 (+.f64 (/.f64 1 N) (fma.f64 1/3 (pow.f64 N -3) (fma.f64 -1/2 (pow.f64 N -2) (*.f64 -1/4 (pow.f64 N -4))))) 3/2))
(pow.f64 (pow.f64 (-.f64 (fma.f64 1/3 (pow.f64 N -3) (/.f64 1 N)) (fma.f64 1/2 (pow.f64 N -2) (*.f64 1/4 (pow.f64 N -4)))) 1/4) 2)
(sqrt.f64 (-.f64 (fma.f64 1/3 (pow.f64 N -3) (/.f64 1 N)) (fma.f64 1/2 (pow.f64 N -2) (*.f64 1/4 (pow.f64 N -4)))))
(sqrt.f64 (+.f64 (/.f64 1 N) (fma.f64 1/3 (pow.f64 N -3) (fma.f64 -1/2 (pow.f64 N -2) (*.f64 -1/4 (pow.f64 N -4))))))
(fabs.f64 (sqrt.f64 (-.f64 (fma.f64 1/3 (pow.f64 N -3) (/.f64 1 N)) (fma.f64 1/2 (pow.f64 N -2) (*.f64 1/4 (pow.f64 N -4))))))
(sqrt.f64 (-.f64 (fma.f64 1/3 (pow.f64 N -3) (/.f64 1 N)) (fma.f64 1/2 (pow.f64 N -2) (*.f64 1/4 (pow.f64 N -4)))))
(sqrt.f64 (+.f64 (/.f64 1 N) (fma.f64 1/3 (pow.f64 N -3) (fma.f64 -1/2 (pow.f64 N -2) (*.f64 -1/4 (pow.f64 N -4))))))
(log.f64 (exp.f64 (sqrt.f64 (-.f64 (fma.f64 1/3 (pow.f64 N -3) (/.f64 1 N)) (fma.f64 1/2 (pow.f64 N -2) (*.f64 1/4 (pow.f64 N -4)))))))
(sqrt.f64 (-.f64 (fma.f64 1/3 (pow.f64 N -3) (/.f64 1 N)) (fma.f64 1/2 (pow.f64 N -2) (*.f64 1/4 (pow.f64 N -4)))))
(sqrt.f64 (+.f64 (/.f64 1 N) (fma.f64 1/3 (pow.f64 N -3) (fma.f64 -1/2 (pow.f64 N -2) (*.f64 -1/4 (pow.f64 N -4))))))
(log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (-.f64 (fma.f64 1/3 (pow.f64 N -3) (/.f64 1 N)) (fma.f64 1/2 (pow.f64 N -2) (*.f64 1/4 (pow.f64 N -4))))))))
(sqrt.f64 (-.f64 (fma.f64 1/3 (pow.f64 N -3) (/.f64 1 N)) (fma.f64 1/2 (pow.f64 N -2) (*.f64 1/4 (pow.f64 N -4)))))
(sqrt.f64 (+.f64 (/.f64 1 N) (fma.f64 1/3 (pow.f64 N -3) (fma.f64 -1/2 (pow.f64 N -2) (*.f64 -1/4 (pow.f64 N -4))))))
(cbrt.f64 (pow.f64 (-.f64 (fma.f64 1/3 (pow.f64 N -3) (/.f64 1 N)) (fma.f64 1/2 (pow.f64 N -2) (*.f64 1/4 (pow.f64 N -4)))) 3/2))
(cbrt.f64 (pow.f64 (+.f64 (/.f64 1 N) (fma.f64 1/3 (pow.f64 N -3) (fma.f64 -1/2 (pow.f64 N -2) (*.f64 -1/4 (pow.f64 N -4))))) 3/2))
(expm1.f64 (log1p.f64 (sqrt.f64 (-.f64 (fma.f64 1/3 (pow.f64 N -3) (/.f64 1 N)) (fma.f64 1/2 (pow.f64 N -2) (*.f64 1/4 (pow.f64 N -4)))))))
(sqrt.f64 (-.f64 (fma.f64 1/3 (pow.f64 N -3) (/.f64 1 N)) (fma.f64 1/2 (pow.f64 N -2) (*.f64 1/4 (pow.f64 N -4)))))
(sqrt.f64 (+.f64 (/.f64 1 N) (fma.f64 1/3 (pow.f64 N -3) (fma.f64 -1/2 (pow.f64 N -2) (*.f64 -1/4 (pow.f64 N -4))))))
(exp.f64 (log.f64 (sqrt.f64 (-.f64 (fma.f64 1/3 (pow.f64 N -3) (/.f64 1 N)) (fma.f64 1/2 (pow.f64 N -2) (*.f64 1/4 (pow.f64 N -4)))))))
(sqrt.f64 (-.f64 (fma.f64 1/3 (pow.f64 N -3) (/.f64 1 N)) (fma.f64 1/2 (pow.f64 N -2) (*.f64 1/4 (pow.f64 N -4)))))
(sqrt.f64 (+.f64 (/.f64 1 N) (fma.f64 1/3 (pow.f64 N -3) (fma.f64 -1/2 (pow.f64 N -2) (*.f64 -1/4 (pow.f64 N -4))))))
(exp.f64 (*.f64 (log.f64 (-.f64 (fma.f64 1/3 (pow.f64 N -3) (/.f64 1 N)) (fma.f64 1/2 (pow.f64 N -2) (*.f64 1/4 (pow.f64 N -4))))) 1/2))
(sqrt.f64 (-.f64 (fma.f64 1/3 (pow.f64 N -3) (/.f64 1 N)) (fma.f64 1/2 (pow.f64 N -2) (*.f64 1/4 (pow.f64 N -4)))))
(sqrt.f64 (+.f64 (/.f64 1 N) (fma.f64 1/3 (pow.f64 N -3) (fma.f64 -1/2 (pow.f64 N -2) (*.f64 -1/4 (pow.f64 N -4))))))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (-.f64 (fma.f64 1/3 (pow.f64 N -3) (/.f64 1 N)) (fma.f64 1/2 (pow.f64 N -2) (*.f64 1/4 (pow.f64 N -4)))))) 1))
(sqrt.f64 (-.f64 (fma.f64 1/3 (pow.f64 N -3) (/.f64 1 N)) (fma.f64 1/2 (pow.f64 N -2) (*.f64 1/4 (pow.f64 N -4)))))
(sqrt.f64 (+.f64 (/.f64 1 N) (fma.f64 1/3 (pow.f64 N -3) (fma.f64 -1/2 (pow.f64 N -2) (*.f64 -1/4 (pow.f64 N -4))))))
(log1p.f64 (expm1.f64 (sqrt.f64 (-.f64 (fma.f64 1/3 (pow.f64 N -3) (/.f64 1 N)) (fma.f64 1/2 (pow.f64 N -2) (*.f64 1/4 (pow.f64 N -4)))))))
(sqrt.f64 (-.f64 (fma.f64 1/3 (pow.f64 N -3) (/.f64 1 N)) (fma.f64 1/2 (pow.f64 N -2) (*.f64 1/4 (pow.f64 N -4)))))
(sqrt.f64 (+.f64 (/.f64 1 N) (fma.f64 1/3 (pow.f64 N -3) (fma.f64 -1/2 (pow.f64 N -2) (*.f64 -1/4 (pow.f64 N -4))))))

eval337.0ms (2.7%)

Compiler

Compiled 11134 to 8976 computations (19.4% saved)

prune63.0ms (0.5%)

Pruning

10 alts after pruning (1 fresh and 9 done)

PrunedKeptTotal
New4321433
Fresh000
Picked134
Done066
Total43310443
Accurracy
100.0%
Counts
443 → 10
Alt Table
Click to see full alt table
StatusAccuracyProgram
46.6%
(/.f64 (-.f64 1 (/.f64 1/2 N)) N)
48.6%
(/.f64 1 N)
11.4%
(-.f64 (/.f64 (+.f64 N (*.f64 (/.f64 (pow.f64 N 3) 1/3) (+.f64 1 (/.f64 -1/2 N)))) (*.f64 (/.f64 (pow.f64 N 3) 1/3) N)) (/.f64 1/4 (pow.f64 N 4)))
46.6%
(-.f64 (+.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 (+.f64 1 (/.f64 -1/2 N)) N)) (/.f64 1/4 (pow.f64 N 4)))
54.7%
(-.f64 N (log.f64 N))
47.6%
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 (+.f64 1 (/.f64 -1/2 N)) N))
4.1%
(*.f64 (+.f64 (sqrt.f64 (log1p.f64 N)) (sqrt.f64 (log.f64 N))) (-.f64 (sqrt.f64 (log1p.f64 N)) (sqrt.f64 (log.f64 N))))
57.5%
(neg.f64 (log.f64 (/.f64 N (+.f64 N 1))))
53.4%
(neg.f64 (log.f64 N))
57.5%
(log.f64 (/.f64 (+.f64 N 1) N))
Compiler

Compiled 298 to 210 computations (29.5% saved)

regimes32.0ms (0.3%)

Counts
16 → 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))
(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 (+.f64 N (*.f64 (/.f64 (pow.f64 N 3) 1/3) (+.f64 1 (/.f64 -1/2 N)))) (*.f64 (/.f64 (pow.f64 N 3) 1/3) N)) (/.f64 1/4 (pow.f64 N 4)))
(pow.f64 (sqrt.f64 (-.f64 (fma.f64 1/3 (pow.f64 N -3) (/.f64 1 N)) (fma.f64 1/2 (pow.f64 N -2) (*.f64 1/4 (pow.f64 N -4))))) 2)
(*.f64 (+.f64 (sqrt.f64 (log1p.f64 N)) (sqrt.f64 (log.f64 N))) (-.f64 (sqrt.f64 (log1p.f64 N)) (sqrt.f64 (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)))
(log.f64 (/.f64 (+.f64 N 1) N))
Calls

2 calls:

19.0ms
N
8.0ms
(-.f64 (log.f64 (+.f64 N 1)) (log.f64 N))
Results
AccuracySegmentsBranch
100.0%2N
100.0%2(-.f64 (log.f64 (+.f64 N 1)) (log.f64 N))
Compiler

Compiled 194 to 134 computations (30.9% saved)

regimes24.0ms (0.2%)

Counts
11 → 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))
(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:

12.0ms
N
9.0ms
(-.f64 (log.f64 (+.f64 N 1)) (log.f64 N))
Results
AccuracySegmentsBranch
100.0%2N
100.0%2(-.f64 (log.f64 (+.f64 N 1)) (log.f64 N))
Compiler

Compiled 90 to 60 computations (33.3% 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))
(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
(log.f64 (/.f64 (+.f64 N 1) N))
(/.f64 (-.f64 1 (/.f64 1/2 N)) N)
Calls

1 calls:

9.0ms
N
Results
AccuracySegmentsBranch
99.8%2N
Compiler

Compiled 42 to 27 computations (35.7% saved)

regimes9.0ms (0.1%)

Counts
5 → 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))
(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:

8.0ms
N
Results
AccuracySegmentsBranch
99.0%2N
Compiler

Compiled 29 to 18 computations (37.9% saved)

regimes8.0ms (0.1%)

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

1 calls:

7.0ms
N
Results
AccuracySegmentsBranch
98.4%2N
Compiler

Compiled 25 to 17 computations (32% saved)

regimes7.0ms (0.1%)

Accuracy

Total -1.6b remaining (-4.8%)

Threshold costs -1.6b (-4.8%)

Counts
3 → 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))
Outputs
(/.f64 1 N)
Calls

1 calls:

6.0ms
N
Results
AccuracySegmentsBranch
48.6%1N
Compiler

Compiled 22 to 15 computations (31.8% saved)

bsearch0.0ms (0%)

Algorithm
left-value
Steps
TimeLeftRight
0.0ms
1.7506503848352395e-5
0.13006566201001335
Compiler

Compiled 12 to 9 computations (25% saved)

bsearch0.0ms (0%)

Algorithm
left-value
Steps
TimeLeftRight
0.0ms
1.7506503848352395e-5
0.13006566201001335
Compiler

Compiled 12 to 9 computations (25% saved)

bsearch17.0ms (0.1%)

Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
17.0ms
102957.33644734077
28908918535.140507
Results
15.0ms144×body256valid
Compiler

Compiled 165 to 126 computations (23.6% saved)

bsearch15.0ms (0.1%)

Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
15.0ms
0.0015026630297831137
3.1738623738031277
Results
13.0ms128×body256valid
Compiler

Compiled 132 to 97 computations (26.5% saved)

bsearch24.0ms (0.2%)

Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
24.0ms
0.0015026630297831137
3.1738623738031277
Results
22.0ms128×body256valid
Compiler

Compiled 124 to 97 computations (21.8% saved)

simplify11.0ms (0.1%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
048312
162312
276312
385312
491312
593312
Stop Event
fuel
saturated
Calls
Call 1
Inputs
(if (<=.f64 (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N)) 5902958103587057/295147905179352825856) (-.f64 (+.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 (+.f64 N 1) N)))
(if (<=.f64 (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N)) 5902958103587057/295147905179352825856) (+.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 155000) (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))
(/.f64 1 N)
Outputs
(if (<=.f64 (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N)) 5902958103587057/295147905179352825856) (-.f64 (+.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 (+.f64 N 1) N)))
(if (<=.f64 (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N)) 5902958103587057/295147905179352825856) (+.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 155000) (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))
(/.f64 1 N)
Compiler

Compiled 119 to 89 computations (25.2% saved)

soundness1.1s (8.7%)

Rules
1682×div-sub
1682×div-sub
1682×div-sub
1682×div-sub
1564×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
062911020
117889446
270789418
0715
114415
2188715
01261407
13361319
211011313
354461309
01261407
13361319
211011313
354461309
028147
1682137
01261407
13361319
211011313
354461309
062911020
117889446
270789418
Stop Event
node limit
node limit
node limit
node limit
node limit
node limit
node limit
node limit
saturated
Compiler

Compiled 678 to 529 computations (22% saved)

end298.0ms (2.4%)

Compiler

Compiled 244 to 174 computations (28.7% saved)

Profiling

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