2log (problem 3.3.6)

Time bar (total: 5.9s)

analyze2.0ms (0%)

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

Compiled 9 to 7 computations (22.2% saved)

sample1.6s (27.7%)

Results
728.0ms4919×body256valid
593.0ms2050×body1024valid
182.0ms1008×body512valid
116.0ms279×body2048valid
0.0ms4×body256invalid
Bogosity

preprocess274.0ms (4.7%)

Algorithm
1×egg-herbie
Rules
7864×fma-def
962×distribute-rgt-in
906×fma-neg
858×distribute-lft-in
806×associate-+r+
Iterations

Useful iterations: 6 (0.0ms)

IterNodesCost
01471
12553
24353
37753
413553
523153
642651
776351
8152151
9301251
10379551
11382951
12385351
13385351
14599351
15643351
16678551
17678551
18717651
19772051
20789051
21794651
Stop Event
1×node limit
Calls
Call 1
Inputs
(-.f64 (log.f64 (+.f64 N 1)) (log.f64 N))
(-.f64 (log.f64 (+.f64 N 1)) (log.f64 N))
(-.f64 (log.f64 (+.f64 (neg.f64 N) 1)) (log.f64 (neg.f64 N)))
Outputs
(-.f64 (log.f64 (+.f64 N 1)) (log.f64 N))
(-.f64 (log1p.f64 N) (log.f64 N))
(-.f64 (log.f64 (+.f64 N 1)) (log.f64 N))
(-.f64 (log1p.f64 N) (log.f64 N))
(-.f64 (log.f64 (+.f64 (neg.f64 N) 1)) (log.f64 (neg.f64 N)))
(-.f64 (log.f64 (+.f64 1 (neg.f64 N))) (log.f64 (neg.f64 N)))
(-.f64 (log1p.f64 (neg.f64 N)) (log.f64 (neg.f64 N)))
(-.f64 (log.f64 (+.f64 N -1)) (log.f64 N))
Compiler

Compiled 8 to 6 computations (25% saved)

eval0.0ms (0%)

Compiler

Compiled 6 to 4 computations (33.3% saved)

prune1.0ms (0%)

Alt Table
Click to see full alt table
StatusAccuracyProgram
▶55.0%
(-.f64 (log1p.f64 N) (log.f64 N))
▶55.0%
(-.f64 (log1p.f64 N) (log.f64 N))
Compiler

Compiled 12 to 8 computations (33.3% saved)

localize41.0ms (0.7%)

Localize:

Found 1 expressions with local error:

NewAccuracyProgram
✓55.0%
(-.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))

rewrite65.0ms (1.1%)

Algorithm
1×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
1×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)))

simplify73.0ms (1.2%)

Algorithm
1×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
1×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))

eval66.0ms (1.1%)

Compiler

Compiled 943 to 456 computations (51.6% saved)

prune18.0ms (0.3%)

Pruning

7 alts after pruning (7 fresh and 0 done)

PrunedKeptTotal
New64771
Fresh000
Picked101
Done000
Total65772
Accuracy
100.0%
Counts
72 → 7
Alt Table
Click to see full alt table
StatusAccuracyProgram
54.5%
(fma.f64 (pow.f64 (cbrt.f64 (log1p.f64 N)) 2) (cbrt.f64 (log1p.f64 N)) (neg.f64 (log.f64 N)))
▶50.8%
(/.f64 1 N)
▶48.9%
(-.f64 (/.f64 1 N) (/.f64 (/.f64 1/2 N) N))
▶52.0%
(-.f64 N (log.f64 N))
50.0%
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (+.f64 (/.f64 1 N) (/.f64 -1/2 (*.f64 N N))))
▶50.6%
(neg.f64 (log.f64 N))
▶55.3%
(log.f64 (/.f64 (+.f64 N 1) N))
54.5%
(fma.f64 (pow.f64 (cbrt.f64 (log1p.f64 N)) 2) (cbrt.f64 (log1p.f64 N)) (neg.f64 (log.f64 N)))
▶50.8%
(/.f64 1 N)
▶48.9%
(-.f64 (/.f64 1 N) (/.f64 (/.f64 1/2 N) N))
▶52.0%
(-.f64 N (log.f64 N))
50.0%
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (+.f64 (/.f64 1 N) (/.f64 -1/2 (*.f64 N N))))
▶50.6%
(neg.f64 (log.f64 N))
▶55.3%
(log.f64 (/.f64 (+.f64 N 1) N))
Compiler

Compiled 236 to 164 computations (30.5% saved)

localize125.0ms (2.1%)

Localize:

Found 5 expressions with local error:

NewAccuracyProgram
✓100.0%
(-.f64 N (log.f64 N))
✓100.0%
(-.f64 (/.f64 1 N) (/.f64 (/.f64 1/2 N) N))
✓99.7%
(/.f64 (/.f64 1/2 N) N)
✓100.0%
(/.f64 (+.f64 N 1) N)
✓55.3%
(log.f64 (/.f64 (+.f64 N 1) N))
Compiler

Compiled 59 to 33 computations (44.1% saved)

series11.0ms (0.2%)

Counts
5 → 60
Calls

15 calls:

TimeVariablePointExpression
5.0ms
N
@0
(-.f64 N (log.f64 N))
2.0ms
N
@-inf
(-.f64 N (log.f64 N))
1.0ms
N
@inf
(-.f64 N (log.f64 N))
1.0ms
N
@0
(/.f64 (/.f64 1/2 N) N)
0.0ms
N
@inf
(/.f64 (+.f64 N 1) N)

rewrite120.0ms (2%)

Algorithm
1×batch-egg-rewrite
Rules
1654×log-prod
1330×fma-def
600×expm1-udef
598×log1p-udef
536×fma-neg
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01573
134171
2514271
Stop Event
1×node limit
Counts
5 → 353
Calls
Call 1
Inputs
(log.f64 (/.f64 (+.f64 N 1) N))
(/.f64 (+.f64 N 1) N)
(/.f64 (/.f64 1/2 N) N)
(-.f64 (/.f64 1 N) (/.f64 (/.f64 1/2 N) N))
(-.f64 N (log.f64 N))
Outputs
(+.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 0)
(+.f64 (log1p.f64 N) (neg.f64 (log.f64 N)))
(+.f64 0 (-.f64 (log1p.f64 N) (log.f64 N)))
(+.f64 (neg.f64 (log.f64 N)) (log1p.f64 N))
(+.f64 (log.f64 (pow.f64 N -1/2)) (log.f64 (/.f64 (+.f64 N 1) (sqrt.f64 N))))
(+.f64 (log.f64 (fma.f64 -1 N -1)) (log.f64 (/.f64 1 (neg.f64 N))))
(+.f64 (log.f64 (cbrt.f64 (pow.f64 (+.f64 N 1) 2))) (log.f64 (*.f64 (cbrt.f64 (+.f64 N 1)) (/.f64 1 N))))
(+.f64 (log.f64 (sqrt.f64 (+.f64 N 1))) (log.f64 (*.f64 (sqrt.f64 (+.f64 N 1)) (/.f64 1 N))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 N 1) N)) 2)) (log.f64 (cbrt.f64 (/.f64 (+.f64 N 1) N))))
(+.f64 (log.f64 (cbrt.f64 (/.f64 (+.f64 N 1) N))) (log.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 N 1) N)) 2)))
(+.f64 (log.f64 (sqrt.f64 (/.f64 (+.f64 N 1) N))) (log.f64 (sqrt.f64 (/.f64 (+.f64 N 1) N))))
(+.f64 (log.f64 (/.f64 1 (pow.f64 (cbrt.f64 N) 2))) (log.f64 (/.f64 (+.f64 N 1) (cbrt.f64 N))))
(+.f64 (log.f64 (/.f64 (cbrt.f64 (pow.f64 (+.f64 N 1) 2)) 1)) (log.f64 (/.f64 (cbrt.f64 (+.f64 N 1)) N)))
(+.f64 (log.f64 (/.f64 (cbrt.f64 (pow.f64 (+.f64 N 1) 2)) (pow.f64 (cbrt.f64 N) 2))) (log.f64 (cbrt.f64 (/.f64 (+.f64 N 1) N))))
(+.f64 (log.f64 (/.f64 (cbrt.f64 (pow.f64 (+.f64 N 1) 2)) (sqrt.f64 N))) (log.f64 (/.f64 (cbrt.f64 (+.f64 N 1)) (sqrt.f64 N))))
(+.f64 (log.f64 (/.f64 (sqrt.f64 (+.f64 N 1)) 1)) (log.f64 (/.f64 (sqrt.f64 (+.f64 N 1)) N)))
(+.f64 (log.f64 (/.f64 (sqrt.f64 (+.f64 N 1)) (pow.f64 (cbrt.f64 N) 2))) (log.f64 (/.f64 (sqrt.f64 (+.f64 N 1)) (cbrt.f64 N))))
(+.f64 (log.f64 (*.f64 (+.f64 N 1) (cbrt.f64 (pow.f64 N -2)))) (log.f64 (/.f64 1 (cbrt.f64 N))))
(+.f64 (log.f64 (*.f64 (+.f64 N 1) (pow.f64 N -1/2))) (log.f64 (pow.f64 N -1/2)))
(-.f64 (log1p.f64 N) (log.f64 N))
(-.f64 0 (-.f64 (log.f64 N) (log1p.f64 N)))
(-.f64 (log.f64 (fma.f64 -1 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 (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)) (fma.f64 (log1p.f64 N) (log1p.f64 N) (+.f64 (pow.f64 (log.f64 N) 2) (*.f64 (log1p.f64 N) (log.f64 N)))))
(/.f64 (-.f64 (*.f64 (log1p.f64 N) (log1p.f64 N)) (pow.f64 (log.f64 N) 2)) (+.f64 (log1p.f64 N) (log.f64 N)))
(pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 1)
(pow.f64 (cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))) 3)
(pow.f64 (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 3) 1/3)
(pow.f64 (sqrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))) 2)
(neg.f64 (-.f64 (log.f64 N) (log1p.f64 N)))
(sqrt.f64 (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 2))
(cbrt.f64 (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 3))
(expm1.f64 (log1p.f64 (-.f64 (log1p.f64 N) (log.f64 N))))
(exp.f64 (log.f64 (-.f64 (log1p.f64 N) (log.f64 N))))
(exp.f64 (*.f64 (log.f64 (-.f64 (log1p.f64 N) (log.f64 N))) 1))
(log1p.f64 (-.f64 (/.f64 (+.f64 N 1) N) 1))
(fma.f64 1 (log1p.f64 N) (neg.f64 (log.f64 N)))
(fma.f64 (*.f64 (cbrt.f64 (log1p.f64 N)) (cbrt.f64 (log1p.f64 N))) (cbrt.f64 (log1p.f64 N)) (neg.f64 (log.f64 N)))
(fma.f64 (sqrt.f64 (log1p.f64 N)) (sqrt.f64 (log1p.f64 N)) (neg.f64 (log.f64 N)))
(+.f64 0 (/.f64 (+.f64 N 1) N))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (/.f64 (+.f64 N 1) N))) (cbrt.f64 (exp.f64 (/.f64 (+.f64 N 1) N))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (+.f64 N 1) N)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (+.f64 N 1) N)))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (+.f64 N 1) N)))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (+.f64 N 1) N))) 1)
(*.f64 1 (/.f64 (+.f64 N 1) N))
(*.f64 (+.f64 N 1) (/.f64 1 N))
(*.f64 (/.f64 (+.f64 N 1) N) 1)
(*.f64 (/.f64 1 N) (+.f64 N 1))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 N 1) 2)) (*.f64 (cbrt.f64 (+.f64 N 1)) (/.f64 1 N)))
(*.f64 (cbrt.f64 (/.f64 (+.f64 N 1) N)) (pow.f64 (cbrt.f64 (/.f64 (+.f64 N 1) N)) 2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 N 1) N)) 2) (cbrt.f64 (/.f64 (+.f64 N 1) N)))
(*.f64 (pow.f64 N -1/2) (/.f64 (+.f64 N 1) (sqrt.f64 N)))
(*.f64 (sqrt.f64 (+.f64 N 1)) (*.f64 (sqrt.f64 (+.f64 N 1)) (/.f64 1 N)))
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(fma.f64 (-.f64 (pow.f64 N 3) (pow.f64 (log.f64 N) 3)) (/.f64 1 (fma.f64 (log.f64 N) (+.f64 N (log.f64 N)) (*.f64 N N))) (fma.f64 (neg.f64 (log.f64 N)) 1 (log.f64 N)))
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(fma.f64 (-.f64 (pow.f64 N 3) (pow.f64 (log.f64 N) 3)) (/.f64 1 (fma.f64 (log.f64 N) (+.f64 N (log.f64 N)) (*.f64 N N))) (+.f64 (neg.f64 (log.f64 N)) (log.f64 N)))
(fma.f64 (-.f64 (*.f64 N N) (pow.f64 (log.f64 N) 2)) (/.f64 1 (+.f64 N (log.f64 N))) (fma.f64 (neg.f64 (log.f64 N)) 1 (log.f64 N)))
(fma.f64 (-.f64 (*.f64 N N) (pow.f64 (log.f64 N) 2)) (/.f64 1 (+.f64 N (log.f64 N))) (fma.f64 (neg.f64 (cbrt.f64 (log.f64 N))) (pow.f64 (cbrt.f64 (log.f64 N)) 2) (log.f64 N)))
(fma.f64 (-.f64 (*.f64 N N) (pow.f64 (log.f64 N) 2)) (/.f64 1 (+.f64 N (log.f64 N))) (+.f64 (neg.f64 (log.f64 N)) (log.f64 N)))
(fma.f64 (*.f64 (cbrt.f64 (neg.f64 (log.f64 N))) (cbrt.f64 (neg.f64 (log.f64 N)))) (cbrt.f64 (neg.f64 (log.f64 N))) N)
(fma.f64 (sqrt.f64 (neg.f64 (log.f64 N))) (sqrt.f64 (neg.f64 (log.f64 N))) N)
(fma.f64 (neg.f64 (sqrt.f64 (log.f64 N))) (sqrt.f64 (log.f64 N)) N)
(fma.f64 (+.f64 (sqrt.f64 N) (sqrt.f64 (log.f64 N))) (-.f64 (sqrt.f64 N) (sqrt.f64 (log.f64 N))) (fma.f64 (neg.f64 (log.f64 N)) 1 (log.f64 N)))
(fma.f64 (+.f64 (sqrt.f64 N) (sqrt.f64 (log.f64 N))) (-.f64 (sqrt.f64 N) (sqrt.f64 (log.f64 N))) (fma.f64 (neg.f64 (cbrt.f64 (log.f64 N))) (pow.f64 (cbrt.f64 (log.f64 N)) 2) (log.f64 N)))
(fma.f64 (+.f64 (sqrt.f64 N) (sqrt.f64 (log.f64 N))) (-.f64 (sqrt.f64 N) (sqrt.f64 (log.f64 N))) (+.f64 (neg.f64 (log.f64 N)) (log.f64 N)))
(fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (log.f64 N)) 2)) (cbrt.f64 (log.f64 N)) N)

simplify164.0ms (2.8%)

Algorithm
1×egg-herbie
Rules
1208×fma-neg
624×fma-def
566×log-prod
478×exp-prod
434×cube-prod
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
073913321
1180711945
2611211637
Stop Event
1×node limit
Counts
413 → 503
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 N)
(+.f64 1 (/.f64 1 N))
(+.f64 1 (/.f64 1 N))
(+.f64 1 (/.f64 1 N))
1
(+.f64 1 (/.f64 1 N))
(+.f64 1 (/.f64 1 N))
(+.f64 1 (/.f64 1 N))
1
(+.f64 1 (/.f64 1 N))
(+.f64 1 (/.f64 1 N))
(+.f64 1 (/.f64 1 N))
(/.f64 1/2 (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 -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 (-.f64 (log1p.f64 N) (log.f64 N)) 0)
(+.f64 (log1p.f64 N) (neg.f64 (log.f64 N)))
(+.f64 0 (-.f64 (log1p.f64 N) (log.f64 N)))
(+.f64 (neg.f64 (log.f64 N)) (log1p.f64 N))
(+.f64 (log.f64 (pow.f64 N -1/2)) (log.f64 (/.f64 (+.f64 N 1) (sqrt.f64 N))))
(+.f64 (log.f64 (fma.f64 -1 N -1)) (log.f64 (/.f64 1 (neg.f64 N))))
(+.f64 (log.f64 (cbrt.f64 (pow.f64 (+.f64 N 1) 2))) (log.f64 (*.f64 (cbrt.f64 (+.f64 N 1)) (/.f64 1 N))))
(+.f64 (log.f64 (sqrt.f64 (+.f64 N 1))) (log.f64 (*.f64 (sqrt.f64 (+.f64 N 1)) (/.f64 1 N))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 N 1) N)) 2)) (log.f64 (cbrt.f64 (/.f64 (+.f64 N 1) N))))
(+.f64 (log.f64 (cbrt.f64 (/.f64 (+.f64 N 1) N))) (log.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 N 1) N)) 2)))
(+.f64 (log.f64 (sqrt.f64 (/.f64 (+.f64 N 1) N))) (log.f64 (sqrt.f64 (/.f64 (+.f64 N 1) N))))
(+.f64 (log.f64 (/.f64 1 (pow.f64 (cbrt.f64 N) 2))) (log.f64 (/.f64 (+.f64 N 1) (cbrt.f64 N))))
(+.f64 (log.f64 (/.f64 (cbrt.f64 (pow.f64 (+.f64 N 1) 2)) 1)) (log.f64 (/.f64 (cbrt.f64 (+.f64 N 1)) N)))
(+.f64 (log.f64 (/.f64 (cbrt.f64 (pow.f64 (+.f64 N 1) 2)) (pow.f64 (cbrt.f64 N) 2))) (log.f64 (cbrt.f64 (/.f64 (+.f64 N 1) N))))
(+.f64 (log.f64 (/.f64 (cbrt.f64 (pow.f64 (+.f64 N 1) 2)) (sqrt.f64 N))) (log.f64 (/.f64 (cbrt.f64 (+.f64 N 1)) (sqrt.f64 N))))
(+.f64 (log.f64 (/.f64 (sqrt.f64 (+.f64 N 1)) 1)) (log.f64 (/.f64 (sqrt.f64 (+.f64 N 1)) N)))
(+.f64 (log.f64 (/.f64 (sqrt.f64 (+.f64 N 1)) (pow.f64 (cbrt.f64 N) 2))) (log.f64 (/.f64 (sqrt.f64 (+.f64 N 1)) (cbrt.f64 N))))
(+.f64 (log.f64 (*.f64 (+.f64 N 1) (cbrt.f64 (pow.f64 N -2)))) (log.f64 (/.f64 1 (cbrt.f64 N))))
(+.f64 (log.f64 (*.f64 (+.f64 N 1) (pow.f64 N -1/2))) (log.f64 (pow.f64 N -1/2)))
(-.f64 (log1p.f64 N) (log.f64 N))
(-.f64 0 (-.f64 (log.f64 N) (log1p.f64 N)))
(-.f64 (log.f64 (fma.f64 -1 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 (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)) (fma.f64 (log1p.f64 N) (log1p.f64 N) (+.f64 (pow.f64 (log.f64 N) 2) (*.f64 (log1p.f64 N) (log.f64 N)))))
(/.f64 (-.f64 (*.f64 (log1p.f64 N) (log1p.f64 N)) (pow.f64 (log.f64 N) 2)) (+.f64 (log1p.f64 N) (log.f64 N)))
(pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 1)
(pow.f64 (cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))) 3)
(pow.f64 (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 3) 1/3)
(pow.f64 (sqrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))) 2)
(neg.f64 (-.f64 (log.f64 N) (log1p.f64 N)))
(sqrt.f64 (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 2))
(cbrt.f64 (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 3))
(expm1.f64 (log1p.f64 (-.f64 (log1p.f64 N) (log.f64 N))))
(exp.f64 (log.f64 (-.f64 (log1p.f64 N) (log.f64 N))))
(exp.f64 (*.f64 (log.f64 (-.f64 (log1p.f64 N) (log.f64 N))) 1))
(log1p.f64 (-.f64 (/.f64 (+.f64 N 1) N) 1))
(fma.f64 1 (log1p.f64 N) (neg.f64 (log.f64 N)))
(fma.f64 (*.f64 (cbrt.f64 (log1p.f64 N)) (cbrt.f64 (log1p.f64 N))) (cbrt.f64 (log1p.f64 N)) (neg.f64 (log.f64 N)))
(fma.f64 (sqrt.f64 (log1p.f64 N)) (sqrt.f64 (log1p.f64 N)) (neg.f64 (log.f64 N)))
(+.f64 0 (/.f64 (+.f64 N 1) N))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (/.f64 (+.f64 N 1) N))) (cbrt.f64 (exp.f64 (/.f64 (+.f64 N 1) N))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (+.f64 N 1) N)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (+.f64 N 1) N)))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (+.f64 N 1) N)))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (+.f64 N 1) N))) 1)
(*.f64 1 (/.f64 (+.f64 N 1) N))
(*.f64 (+.f64 N 1) (/.f64 1 N))
(*.f64 (/.f64 (+.f64 N 1) N) 1)
(*.f64 (/.f64 1 N) (+.f64 N 1))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 N 1) 2)) (*.f64 (cbrt.f64 (+.f64 N 1)) (/.f64 1 N)))
(*.f64 (cbrt.f64 (/.f64 (+.f64 N 1) N)) (pow.f64 (cbrt.f64 (/.f64 (+.f64 N 1) N)) 2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 N 1) N)) 2) (cbrt.f64 (/.f64 (+.f64 N 1) N)))
(*.f64 (pow.f64 N -1/2) (/.f64 (+.f64 N 1) (sqrt.f64 N)))
(*.f64 (sqrt.f64 (+.f64 N 1)) (*.f64 (sqrt.f64 (+.f64 N 1)) (/.f64 1 N)))
(*.f64 (sqrt.f64 (/.f64 (+.f64 N 1) N)) (sqrt.f64 (/.f64 (+.f64 N 1) N)))
(*.f64 (fma.f64 -1 N -1) (/.f64 1 (neg.f64 N)))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 N) 2)) (/.f64 (+.f64 N 1) (cbrt.f64 N)))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (+.f64 N 1) 2)) 1) (/.f64 (cbrt.f64 (+.f64 N 1)) N))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (+.f64 N 1) 2)) (pow.f64 (cbrt.f64 N) 2)) (cbrt.f64 (/.f64 (+.f64 N 1) N)))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (+.f64 N 1) 2)) (sqrt.f64 N)) (/.f64 (cbrt.f64 (+.f64 N 1)) (sqrt.f64 N)))
(*.f64 (/.f64 (sqrt.f64 (+.f64 N 1)) 1) (/.f64 (sqrt.f64 (+.f64 N 1)) N))
(*.f64 (/.f64 (sqrt.f64 (+.f64 N 1)) (pow.f64 (cbrt.f64 N) 2)) (/.f64 (sqrt.f64 (+.f64 N 1)) (cbrt.f64 N)))
(*.f64 (*.f64 (+.f64 N 1) (cbrt.f64 (pow.f64 N -2))) (/.f64 1 (cbrt.f64 N)))
(*.f64 (*.f64 (+.f64 N 1) (pow.f64 N -1/2)) (pow.f64 N -1/2))
(pow.f64 (/.f64 (+.f64 N 1) N) 1)
(pow.f64 (E.f64) (-.f64 (log1p.f64 N) (log.f64 N)))
(pow.f64 (cbrt.f64 (/.f64 (+.f64 N 1) N)) 3)
(pow.f64 (pow.f64 (/.f64 (+.f64 N 1) N) 3) 1/3)
(pow.f64 (sqrt.f64 (/.f64 (+.f64 N 1) N)) 2)
(pow.f64 (/.f64 N (+.f64 N 1)) -1)
(pow.f64 (exp.f64 (sqrt.f64 (-.f64 (log1p.f64 N) (log.f64 N)))) (sqrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))) 2)) (cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))))
(neg.f64 (/.f64 (+.f64 N 1) (neg.f64 N)))
(sqrt.f64 (pow.f64 (/.f64 (+.f64 N 1) N) 2))
(log.f64 (exp.f64 (/.f64 (+.f64 N 1) N)))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (+.f64 N 1) N))))
(cbrt.f64 (pow.f64 (/.f64 (+.f64 N 1) N) 3))
(cbrt.f64 (*.f64 (pow.f64 (+.f64 N 1) 3) (pow.f64 N -3)))
(cbrt.f64 (/.f64 (pow.f64 (+.f64 N 1) 3) (pow.f64 N 3)))
(expm1.f64 (log1p.f64 (/.f64 (+.f64 N 1) N)))
(exp.f64 (-.f64 (log1p.f64 N) (log.f64 N)))
(log1p.f64 (expm1.f64 (/.f64 (+.f64 N 1) N)))
(+.f64 0 (*.f64 1/2 (pow.f64 N -2)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (*.f64 1/2 (pow.f64 N -2)))) (cbrt.f64 (exp.f64 (*.f64 1/2 (pow.f64 N -2)))))) (log.f64 (cbrt.f64 (exp.f64 (*.f64 1/2 (pow.f64 N -2))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (*.f64 1/2 (pow.f64 N -2))))) (log.f64 (sqrt.f64 (exp.f64 (*.f64 1/2 (pow.f64 N -2))))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 1/2 (pow.f64 N -2)))) 1)
(*.f64 1 (*.f64 1/2 (pow.f64 N -2)))
(*.f64 1/2 (pow.f64 N -2))
(*.f64 (/.f64 1/2 N) (/.f64 1 N))
(*.f64 (*.f64 1/2 (pow.f64 N -2)) 1)
(*.f64 (/.f64 1 N) (/.f64 1/2 N))
(*.f64 (cbrt.f64 (*.f64 1/2 (pow.f64 N -2))) (pow.f64 (cbrt.f64 (*.f64 1/2 (pow.f64 N -2))) 2))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 1/2 (pow.f64 N -2))) 2) (cbrt.f64 (*.f64 1/2 (pow.f64 N -2))))
(*.f64 (cbrt.f64 (*.f64 1/4 (pow.f64 N -2))) (*.f64 (cbrt.f64 (/.f64 1/2 N)) (/.f64 1 N)))
(*.f64 (pow.f64 N -1/2) (/.f64 (/.f64 1/2 N) (sqrt.f64 N)))
(*.f64 (/.f64 (sqrt.f64 1/2) N) (/.f64 (sqrt.f64 1/2) N))
(*.f64 (sqrt.f64 (/.f64 1/2 N)) (*.f64 (sqrt.f64 (/.f64 1/2 N)) (/.f64 1 N)))
(*.f64 (/.f64 -1/2 N) (/.f64 1 (neg.f64 N)))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 N) 2)) (/.f64 (/.f64 1/2 N) (cbrt.f64 N)))
(*.f64 (/.f64 1/2 (pow.f64 (cbrt.f64 N) 2)) (/.f64 (/.f64 1 N) (cbrt.f64 N)))
(*.f64 (/.f64 1/2 (sqrt.f64 N)) (/.f64 (/.f64 1 N) (sqrt.f64 N)))
(*.f64 (/.f64 (cbrt.f64 (*.f64 1/4 (pow.f64 N -2))) 1) (/.f64 (cbrt.f64 (/.f64 1/2 N)) N))
(*.f64 (/.f64 (cbrt.f64 (*.f64 1/4 (pow.f64 N -2))) (pow.f64 (cbrt.f64 N) 2)) (cbrt.f64 (*.f64 1/2 (pow.f64 N -2))))
(*.f64 (/.f64 (cbrt.f64 (*.f64 1/4 (pow.f64 N -2))) (sqrt.f64 N)) (/.f64 (cbrt.f64 (/.f64 1/2 N)) (sqrt.f64 N)))
(*.f64 (/.f64 (sqrt.f64 (/.f64 1/2 N)) 1) (/.f64 (sqrt.f64 (/.f64 1/2 N)) N))
(*.f64 (/.f64 (sqrt.f64 (/.f64 1/2 N)) (pow.f64 (cbrt.f64 N) 2)) (/.f64 (sqrt.f64 (/.f64 1/2 N)) (cbrt.f64 N)))
(*.f64 (*.f64 (/.f64 1/2 N) (cbrt.f64 (pow.f64 N -2))) (/.f64 1 (cbrt.f64 N)))
(*.f64 (*.f64 (/.f64 1/2 N) (pow.f64 N -1/2)) (pow.f64 N -1/2))
(pow.f64 (*.f64 1/2 (pow.f64 N -2)) 1)
(pow.f64 (cbrt.f64 (*.f64 1/2 (pow.f64 N -2))) 3)
(pow.f64 (/.f64 1/8 (pow.f64 (*.f64 N N) 3)) 1/3)
(pow.f64 (/.f64 (sqrt.f64 1/2) N) 2)
(pow.f64 (*.f64 N (*.f64 N 2)) -1)
(neg.f64 (/.f64 (/.f64 1/2 N) (neg.f64 N)))
(sqrt.f64 (pow.f64 (*.f64 1/2 (pow.f64 N -2)) 2))
(log.f64 (exp.f64 (*.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 (*.f64 N N) 3)))
(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) (/.f64 (/.f64 -1/2 N) N))
(+.f64 (/.f64 1 N) (*.f64 (/.f64 (/.f64 -1/2 N) N) 1))
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(fma.f64 (-.f64 (pow.f64 N -2) (pow.f64 (*.f64 1/2 (pow.f64 N -2)) 2)) (/.f64 1 (fma.f64 1/2 (pow.f64 N -2) (/.f64 1 N))) (fma.f64 (neg.f64 (/.f64 1 N)) (/.f64 1/2 N) (*.f64 1/2 (pow.f64 N -2))))
(fma.f64 (-.f64 (pow.f64 N -2) (pow.f64 (*.f64 1/2 (pow.f64 N -2)) 2)) (/.f64 1 (fma.f64 1/2 (pow.f64 N -2) (/.f64 1 N))) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 1/2 (pow.f64 N -2)))) (pow.f64 (cbrt.f64 (*.f64 1/2 (pow.f64 N -2))) 2) (*.f64 1/2 (pow.f64 N -2))))
(fma.f64 (-.f64 (pow.f64 N -2) (pow.f64 (*.f64 1/2 (pow.f64 N -2)) 2)) (/.f64 1 (fma.f64 1/2 (pow.f64 N -2) (/.f64 1 N))) (+.f64 (/.f64 (/.f64 -1/2 N) N) (*.f64 1/2 (pow.f64 N -2))))
(fma.f64 (*.f64 (cbrt.f64 (/.f64 (/.f64 -1/2 N) N)) (cbrt.f64 (/.f64 (/.f64 -1/2 N) N))) (cbrt.f64 (/.f64 (/.f64 -1/2 N) N)) (/.f64 1 N))
(fma.f64 (sqrt.f64 (/.f64 (/.f64 -1/2 N) N)) (sqrt.f64 (/.f64 (/.f64 -1/2 N) N)) (/.f64 1 N))
(fma.f64 (neg.f64 (/.f64 (sqrt.f64 1/2) N)) (/.f64 (sqrt.f64 1/2) N) (/.f64 1 N))
(fma.f64 (pow.f64 (pow.f64 (cbrt.f64 N) 2) -1) (pow.f64 (cbrt.f64 N) -1) (/.f64 (/.f64 -1/2 N) N))
(fma.f64 (pow.f64 (pow.f64 (cbrt.f64 N) 2) -1) (pow.f64 (cbrt.f64 N) -1) (*.f64 (/.f64 (/.f64 -1/2 N) N) 1))
(fma.f64 (pow.f64 (sqrt.f64 N) -1) (pow.f64 (sqrt.f64 N) -1) (/.f64 (/.f64 -1/2 N) N))
(fma.f64 (pow.f64 (sqrt.f64 N) -1) (pow.f64 (sqrt.f64 N) -1) (*.f64 (/.f64 (/.f64 -1/2 N) N) 1))
(fma.f64 (+.f64 (pow.f64 N -1/2) (/.f64 (sqrt.f64 1/2) N)) (-.f64 (pow.f64 N -1/2) (/.f64 (sqrt.f64 1/2) N)) (fma.f64 (/.f64 (/.f64 -1/2 N) N) 1 (*.f64 1/2 (pow.f64 N -2))))
(fma.f64 (+.f64 (pow.f64 N -1/2) (/.f64 (sqrt.f64 1/2) N)) (-.f64 (pow.f64 N -1/2) (/.f64 (sqrt.f64 1/2) N)) (fma.f64 (neg.f64 (/.f64 1 N)) (/.f64 1/2 N) (*.f64 1/2 (pow.f64 N -2))))
(fma.f64 (+.f64 (pow.f64 N -1/2) (/.f64 (sqrt.f64 1/2) N)) (-.f64 (pow.f64 N -1/2) (/.f64 (sqrt.f64 1/2) N)) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 1/2 (pow.f64 N -2)))) (pow.f64 (cbrt.f64 (*.f64 1/2 (pow.f64 N -2))) 2) (*.f64 1/2 (pow.f64 N -2))))
(fma.f64 (+.f64 (pow.f64 N -1/2) (/.f64 (sqrt.f64 1/2) N)) (-.f64 (pow.f64 N -1/2) (/.f64 (sqrt.f64 1/2) N)) (+.f64 (/.f64 (/.f64 -1/2 N) N) (*.f64 1/2 (pow.f64 N -2))))
(fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (*.f64 1/2 (pow.f64 N -2))) 2)) (cbrt.f64 (*.f64 1/2 (pow.f64 N -2))) (/.f64 1 N))
(+.f64 N (neg.f64 (log.f64 N)))
(+.f64 N (*.f64 (neg.f64 (log.f64 N)) 1))
(+.f64 (-.f64 N (log.f64 N)) (fma.f64 (neg.f64 (log.f64 N)) 1 (log.f64 N)))
(+.f64 (-.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 N (log.f64 N)) (+.f64 (neg.f64 (log.f64 N)) (log.f64 N)))
(+.f64 0 (-.f64 N (log.f64 N)))
(+.f64 (neg.f64 (log.f64 N)) N)
(+.f64 (log.f64 (*.f64 (cbrt.f64 (/.f64 (exp.f64 N) N)) (cbrt.f64 (/.f64 (exp.f64 N) N)))) (log.f64 (cbrt.f64 (/.f64 (exp.f64 N) N))))
(+.f64 (log.f64 (sqrt.f64 (/.f64 (exp.f64 N) N))) (log.f64 (sqrt.f64 (/.f64 (exp.f64 N) N))))
(*.f64 1 (-.f64 N (log.f64 N)))
(*.f64 (-.f64 N (log.f64 N)) 1)
(*.f64 (cbrt.f64 (-.f64 N (log.f64 N))) (cbrt.f64 (pow.f64 (-.f64 N (log.f64 N)) 2)))
(*.f64 (cbrt.f64 (pow.f64 (-.f64 N (log.f64 N)) 2)) (cbrt.f64 (-.f64 N (log.f64 N))))
(*.f64 (sqrt.f64 (-.f64 N (log.f64 N))) (sqrt.f64 (-.f64 N (log.f64 N))))
(*.f64 (-.f64 (pow.f64 N 3) (pow.f64 (log.f64 N) 3)) (/.f64 1 (fma.f64 (log.f64 N) (+.f64 N (log.f64 N)) (*.f64 N N))))
(*.f64 (-.f64 (*.f64 N N) (pow.f64 (log.f64 N) 2)) (/.f64 1 (+.f64 N (log.f64 N))))
(*.f64 (+.f64 (sqrt.f64 N) (sqrt.f64 (log.f64 N))) (-.f64 (sqrt.f64 N) (sqrt.f64 (log.f64 N))))
(/.f64 1 (/.f64 (fma.f64 (log.f64 N) (+.f64 N (log.f64 N)) (*.f64 N N)) (-.f64 (pow.f64 N 3) (pow.f64 (log.f64 N) 3))))
(/.f64 1 (/.f64 (+.f64 N (log.f64 N)) (-.f64 (*.f64 N N) (pow.f64 (log.f64 N) 2))))
(/.f64 (-.f64 (pow.f64 N 3) (pow.f64 (log.f64 N) 3)) (fma.f64 (log.f64 N) (+.f64 N (log.f64 N)) (*.f64 N N)))
(/.f64 (-.f64 (*.f64 N N) (pow.f64 (log.f64 N) 2)) (+.f64 N (log.f64 N)))
(/.f64 (neg.f64 (-.f64 (pow.f64 N 3) (pow.f64 (log.f64 N) 3))) (neg.f64 (fma.f64 (log.f64 N) (+.f64 N (log.f64 N)) (*.f64 N N))))
(/.f64 (neg.f64 (-.f64 (*.f64 N N) (pow.f64 (log.f64 N) 2))) (neg.f64 (+.f64 N (log.f64 N))))
(/.f64 (+.f64 (pow.f64 N 3) (pow.f64 (neg.f64 (log.f64 N)) 3)) (fma.f64 N N (-.f64 (*.f64 (neg.f64 (log.f64 N)) (neg.f64 (log.f64 N))) (*.f64 N (neg.f64 (log.f64 N))))))
(/.f64 (-.f64 (*.f64 N N) (*.f64 (neg.f64 (log.f64 N)) (neg.f64 (log.f64 N)))) (-.f64 N (neg.f64 (log.f64 N))))
(pow.f64 (-.f64 N (log.f64 N)) 1)
(pow.f64 (cbrt.f64 (-.f64 N (log.f64 N))) 3)
(pow.f64 (pow.f64 (-.f64 N (log.f64 N)) 3) 1/3)
(pow.f64 (sqrt.f64 (-.f64 N (log.f64 N))) 2)
(sqrt.f64 (pow.f64 (-.f64 N (log.f64 N)) 2))
(log.f64 (/.f64 (exp.f64 N) N))
(log.f64 (+.f64 1 (expm1.f64 (-.f64 N (log.f64 N)))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 N)) (/.f64 1 N)))
(log.f64 (*.f64 (/.f64 1 N) (exp.f64 N)))
(log.f64 (*.f64 (/.f64 1 N) (+.f64 1 (expm1.f64 N))))
(log.f64 (/.f64 (exp.f64 N) (+.f64 1 (+.f64 N -1))))
(log.f64 (/.f64 (+.f64 1 (expm1.f64 N)) N))
(log.f64 (/.f64 (+.f64 1 (expm1.f64 N)) (+.f64 1 (+.f64 N -1))))
(cbrt.f64 (pow.f64 (-.f64 N (log.f64 N)) 3))
(expm1.f64 (log1p.f64 (-.f64 N (log.f64 N))))
(exp.f64 (log.f64 (-.f64 N (log.f64 N))))
(exp.f64 (*.f64 (log.f64 (-.f64 N (log.f64 N))) 1))
(log1p.f64 (expm1.f64 (-.f64 N (log.f64 N))))
(fma.f64 N 1 (neg.f64 (log.f64 N)))
(fma.f64 N 1 (*.f64 (neg.f64 (log.f64 N)) 1))
(fma.f64 1 N (neg.f64 (log.f64 N)))
(fma.f64 1 N (*.f64 (neg.f64 (log.f64 N)) 1))
(fma.f64 1 (-.f64 N (log.f64 N)) (fma.f64 (neg.f64 (log.f64 N)) 1 (log.f64 N)))
(fma.f64 1 (-.f64 N (log.f64 N)) (fma.f64 (neg.f64 (cbrt.f64 (log.f64 N))) (pow.f64 (cbrt.f64 (log.f64 N)) 2) (log.f64 N)))
(fma.f64 1 (-.f64 N (log.f64 N)) (+.f64 (neg.f64 (log.f64 N)) (log.f64 N)))
(fma.f64 1 (neg.f64 (log.f64 N)) N)
(fma.f64 (-.f64 N (log.f64 N)) 1 (fma.f64 (neg.f64 (log.f64 N)) 1 (log.f64 N)))
(fma.f64 (-.f64 N (log.f64 N)) 1 (fma.f64 (neg.f64 (cbrt.f64 (log.f64 N))) (pow.f64 (cbrt.f64 (log.f64 N)) 2) (log.f64 N)))
(fma.f64 (-.f64 N (log.f64 N)) 1 (+.f64 (neg.f64 (log.f64 N)) (log.f64 N)))
(fma.f64 (cbrt.f64 (-.f64 N (log.f64 N))) (cbrt.f64 (pow.f64 (-.f64 N (log.f64 N)) 2)) (fma.f64 (neg.f64 (log.f64 N)) 1 (log.f64 N)))
(fma.f64 (cbrt.f64 (-.f64 N (log.f64 N))) (cbrt.f64 (pow.f64 (-.f64 N (log.f64 N)) 2)) (fma.f64 (neg.f64 (cbrt.f64 (log.f64 N))) (pow.f64 (cbrt.f64 (log.f64 N)) 2) (log.f64 N)))
(fma.f64 (cbrt.f64 (-.f64 N (log.f64 N))) (cbrt.f64 (pow.f64 (-.f64 N (log.f64 N)) 2)) (+.f64 (neg.f64 (log.f64 N)) (log.f64 N)))
(fma.f64 (cbrt.f64 (pow.f64 (-.f64 N (log.f64 N)) 2)) (cbrt.f64 (-.f64 N (log.f64 N))) (fma.f64 (neg.f64 (log.f64 N)) 1 (log.f64 N)))
(fma.f64 (cbrt.f64 (pow.f64 (-.f64 N (log.f64 N)) 2)) (cbrt.f64 (-.f64 N (log.f64 N))) (fma.f64 (neg.f64 (cbrt.f64 (log.f64 N))) (pow.f64 (cbrt.f64 (log.f64 N)) 2) (log.f64 N)))
(fma.f64 (cbrt.f64 (pow.f64 (-.f64 N (log.f64 N)) 2)) (cbrt.f64 (-.f64 N (log.f64 N))) (+.f64 (neg.f64 (log.f64 N)) (log.f64 N)))
(fma.f64 (pow.f64 (cbrt.f64 (log.f64 N)) 2) (neg.f64 (cbrt.f64 (log.f64 N))) N)
(fma.f64 (cbrt.f64 N) (pow.f64 (cbrt.f64 N) 2) (neg.f64 (log.f64 N)))
(fma.f64 (cbrt.f64 N) (pow.f64 (cbrt.f64 N) 2) (*.f64 (neg.f64 (log.f64 N)) 1))
(fma.f64 (pow.f64 (cbrt.f64 N) 2) (cbrt.f64 N) (neg.f64 (log.f64 N)))
(fma.f64 (pow.f64 (cbrt.f64 N) 2) (cbrt.f64 N) (*.f64 (neg.f64 (log.f64 N)) 1))
(fma.f64 (pow.f64 (cbrt.f64 N) 2) (*.f64 (cbrt.f64 N) 1) (neg.f64 (log.f64 N)))
(fma.f64 (pow.f64 (cbrt.f64 N) 2) (*.f64 (cbrt.f64 N) 1) (*.f64 (neg.f64 (log.f64 N)) 1))
(fma.f64 (sqrt.f64 (-.f64 N (log.f64 N))) (sqrt.f64 (-.f64 N (log.f64 N))) (fma.f64 (neg.f64 (log.f64 N)) 1 (log.f64 N)))
(fma.f64 (sqrt.f64 (-.f64 N (log.f64 N))) (sqrt.f64 (-.f64 N (log.f64 N))) (fma.f64 (neg.f64 (cbrt.f64 (log.f64 N))) (pow.f64 (cbrt.f64 (log.f64 N)) 2) (log.f64 N)))
(fma.f64 (sqrt.f64 (-.f64 N (log.f64 N))) (sqrt.f64 (-.f64 N (log.f64 N))) (+.f64 (neg.f64 (log.f64 N)) (log.f64 N)))
(fma.f64 (sqrt.f64 (log.f64 N)) (neg.f64 (sqrt.f64 (log.f64 N))) N)
(fma.f64 (sqrt.f64 N) (sqrt.f64 N) (neg.f64 (log.f64 N)))
(fma.f64 (sqrt.f64 N) (sqrt.f64 N) (*.f64 (neg.f64 (log.f64 N)) 1))
(fma.f64 (sqrt.f64 N) (*.f64 (sqrt.f64 N) 1) (neg.f64 (log.f64 N)))
(fma.f64 (sqrt.f64 N) (*.f64 (sqrt.f64 N) 1) (*.f64 (neg.f64 (log.f64 N)) 1))
(fma.f64 -1 (log.f64 N) N)
(fma.f64 (-.f64 (pow.f64 N 3) (pow.f64 (log.f64 N) 3)) (/.f64 1 (fma.f64 (log.f64 N) (+.f64 N (log.f64 N)) (*.f64 N N))) (fma.f64 (neg.f64 (log.f64 N)) 1 (log.f64 N)))
(fma.f64 (-.f64 (pow.f64 N 3) (pow.f64 (log.f64 N) 3)) (/.f64 1 (fma.f64 (log.f64 N) (+.f64 N (log.f64 N)) (*.f64 N N))) (fma.f64 (neg.f64 (cbrt.f64 (log.f64 N))) (pow.f64 (cbrt.f64 (log.f64 N)) 2) (log.f64 N)))
(fma.f64 (-.f64 (pow.f64 N 3) (pow.f64 (log.f64 N) 3)) (/.f64 1 (fma.f64 (log.f64 N) (+.f64 N (log.f64 N)) (*.f64 N N))) (+.f64 (neg.f64 (log.f64 N)) (log.f64 N)))
(fma.f64 (-.f64 (*.f64 N N) (pow.f64 (log.f64 N) 2)) (/.f64 1 (+.f64 N (log.f64 N))) (fma.f64 (neg.f64 (log.f64 N)) 1 (log.f64 N)))
(fma.f64 (-.f64 (*.f64 N N) (pow.f64 (log.f64 N) 2)) (/.f64 1 (+.f64 N (log.f64 N))) (fma.f64 (neg.f64 (cbrt.f64 (log.f64 N))) (pow.f64 (cbrt.f64 (log.f64 N)) 2) (log.f64 N)))
(fma.f64 (-.f64 (*.f64 N N) (pow.f64 (log.f64 N) 2)) (/.f64 1 (+.f64 N (log.f64 N))) (+.f64 (neg.f64 (log.f64 N)) (log.f64 N)))
(fma.f64 (*.f64 (cbrt.f64 (neg.f64 (log.f64 N))) (cbrt.f64 (neg.f64 (log.f64 N)))) (cbrt.f64 (neg.f64 (log.f64 N))) N)
(fma.f64 (sqrt.f64 (neg.f64 (log.f64 N))) (sqrt.f64 (neg.f64 (log.f64 N))) N)
(fma.f64 (neg.f64 (sqrt.f64 (log.f64 N))) (sqrt.f64 (log.f64 N)) N)
(fma.f64 (+.f64 (sqrt.f64 N) (sqrt.f64 (log.f64 N))) (-.f64 (sqrt.f64 N) (sqrt.f64 (log.f64 N))) (fma.f64 (neg.f64 (log.f64 N)) 1 (log.f64 N)))
(fma.f64 (+.f64 (sqrt.f64 N) (sqrt.f64 (log.f64 N))) (-.f64 (sqrt.f64 N) (sqrt.f64 (log.f64 N))) (fma.f64 (neg.f64 (cbrt.f64 (log.f64 N))) (pow.f64 (cbrt.f64 (log.f64 N)) 2) (log.f64 N)))
(fma.f64 (+.f64 (sqrt.f64 N) (sqrt.f64 (log.f64 N))) (-.f64 (sqrt.f64 N) (sqrt.f64 (log.f64 N))) (+.f64 (neg.f64 (log.f64 N)) (log.f64 N)))
(fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (log.f64 N)) 2)) (cbrt.f64 (log.f64 N)) N)
Outputs
(*.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 (*.f64 -1 (log.f64 N)) (*.f64 -1/2 (pow.f64 N 2))))
(+.f64 (-.f64 N (log.f64 N)) (*.f64 -1/2 (*.f64 N N)))
(+.f64 N (-.f64 (*.f64 N (*.f64 N -1/2)) (log.f64 N)))
(+.f64 N (+.f64 (*.f64 -1 (log.f64 N)) (+.f64 (*.f64 1/3 (pow.f64 N 3)) (*.f64 -1/2 (pow.f64 N 2)))))
(+.f64 (-.f64 N (log.f64 N)) (fma.f64 1/3 (pow.f64 N 3) (*.f64 -1/2 (*.f64 N N))))
(+.f64 N (-.f64 (fma.f64 1/3 (pow.f64 N 3) (*.f64 N (*.f64 N -1/2))) (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 N -1/2) (*.f64 N N))
(*.f64 (pow.f64 N -2) (+.f64 N -1/2))
(-.f64 (+.f64 (/.f64 1 N) (*.f64 1/3 (/.f64 1 (pow.f64 N 3)))) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(+.f64 (/.f64 1 N) (-.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 1/2 (*.f64 N N))))
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 (+.f64 N -1/2) (*.f64 N N)))
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (*.f64 (pow.f64 N -2) (+.f64 N -1/2)))
(-.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 (+.f64 (/.f64 1 N) (/.f64 1/3 (pow.f64 N 3))) (+.f64 (/.f64 1/2 (*.f64 N N)) (/.f64 1/4 (pow.f64 N 4))))
(-.f64 (+.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 (+.f64 N -1/2) (*.f64 N N))) (/.f64 1/4 (pow.f64 N 4)))
(-.f64 (+.f64 (/.f64 1/3 (pow.f64 N 3)) (*.f64 (pow.f64 N -2) (+.f64 N -1/2))) (/.f64 1/4 (pow.f64 N 4)))
(/.f64 1 N)
(-.f64 (/.f64 1 N) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (/.f64 1 N) (/.f64 1/2 (*.f64 N N)))
(/.f64 (+.f64 N -1/2) (*.f64 N N))
(*.f64 (pow.f64 N -2) (+.f64 N -1/2))
(-.f64 (+.f64 (/.f64 1 N) (*.f64 1/3 (/.f64 1 (pow.f64 N 3)))) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(+.f64 (/.f64 1 N) (-.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 1/2 (*.f64 N N))))
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 (+.f64 N -1/2) (*.f64 N N)))
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (*.f64 (pow.f64 N -2) (+.f64 N -1/2)))
(-.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 (+.f64 (/.f64 1 N) (/.f64 1/3 (pow.f64 N 3))) (+.f64 (/.f64 1/2 (*.f64 N N)) (/.f64 1/4 (pow.f64 N 4))))
(-.f64 (+.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 (+.f64 N -1/2) (*.f64 N N))) (/.f64 1/4 (pow.f64 N 4)))
(-.f64 (+.f64 (/.f64 1/3 (pow.f64 N 3)) (*.f64 (pow.f64 N -2) (+.f64 N -1/2))) (/.f64 1/4 (pow.f64 N 4)))
(/.f64 1 N)
(+.f64 1 (/.f64 1 N))
(+.f64 1 (/.f64 1 N))
(+.f64 1 (/.f64 1 N))
1
(+.f64 1 (/.f64 1 N))
(+.f64 1 (/.f64 1 N))
(+.f64 1 (/.f64 1 N))
1
(+.f64 1 (/.f64 1 N))
(+.f64 1 (/.f64 1 N))
(+.f64 1 (/.f64 1 N))
(/.f64 1/2 (pow.f64 N 2))
(/.f64 1/2 (*.f64 N N))
(*.f64 1/2 (pow.f64 N -2))
(/.f64 1/2 (pow.f64 N 2))
(/.f64 1/2 (*.f64 N N))
(*.f64 1/2 (pow.f64 N -2))
(/.f64 1/2 (pow.f64 N 2))
(/.f64 1/2 (*.f64 N N))
(*.f64 1/2 (pow.f64 N -2))
(/.f64 1/2 (pow.f64 N 2))
(/.f64 1/2 (*.f64 N N))
(*.f64 1/2 (pow.f64 N -2))
(/.f64 1/2 (pow.f64 N 2))
(/.f64 1/2 (*.f64 N N))
(*.f64 1/2 (pow.f64 N -2))
(/.f64 1/2 (pow.f64 N 2))
(/.f64 1/2 (*.f64 N N))
(*.f64 1/2 (pow.f64 N -2))
(/.f64 1/2 (pow.f64 N 2))
(/.f64 1/2 (*.f64 N N))
(*.f64 1/2 (pow.f64 N -2))
(/.f64 1/2 (pow.f64 N 2))
(/.f64 1/2 (*.f64 N N))
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(-.f64 N (log.f64 N))
(fma.f64 (+.f64 (sqrt.f64 N) (sqrt.f64 (log.f64 N))) (-.f64 (sqrt.f64 N) (sqrt.f64 (log.f64 N))) (fma.f64 (neg.f64 (log.f64 N)) 1 (log.f64 N)))
(fma.f64 (+.f64 (sqrt.f64 N) (sqrt.f64 (log.f64 N))) (-.f64 (sqrt.f64 N) (sqrt.f64 (log.f64 N))) (+.f64 (log.f64 N) (neg.f64 (log.f64 N))))
(fma.f64 (+.f64 (sqrt.f64 N) (sqrt.f64 (log.f64 N))) (-.f64 (sqrt.f64 N) (sqrt.f64 (log.f64 N))) (*.f64 0 (log.f64 N)))
(fma.f64 (+.f64 (sqrt.f64 N) (sqrt.f64 (log.f64 N))) (-.f64 (sqrt.f64 N) (sqrt.f64 (log.f64 N))) (fma.f64 (neg.f64 (cbrt.f64 (log.f64 N))) (pow.f64 (cbrt.f64 (log.f64 N)) 2) (log.f64 N)))
(fma.f64 (+.f64 (sqrt.f64 N) (sqrt.f64 (log.f64 N))) (-.f64 (sqrt.f64 N) (sqrt.f64 (log.f64 N))) (+.f64 (log.f64 N) (neg.f64 (pow.f64 (cbrt.f64 (log.f64 N)) 3))))
(fma.f64 (+.f64 (sqrt.f64 N) (sqrt.f64 (log.f64 N))) (-.f64 (sqrt.f64 N) (sqrt.f64 (log.f64 N))) (+.f64 (neg.f64 (log.f64 N)) (log.f64 N)))
(fma.f64 (+.f64 (sqrt.f64 N) (sqrt.f64 (log.f64 N))) (-.f64 (sqrt.f64 N) (sqrt.f64 (log.f64 N))) (+.f64 (log.f64 N) (neg.f64 (log.f64 N))))
(fma.f64 (+.f64 (sqrt.f64 N) (sqrt.f64 (log.f64 N))) (-.f64 (sqrt.f64 N) (sqrt.f64 (log.f64 N))) (*.f64 0 (log.f64 N)))
(fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (log.f64 N)) 2)) (cbrt.f64 (log.f64 N)) N)
(fma.f64 (pow.f64 (cbrt.f64 (log.f64 N)) 2) (neg.f64 (cbrt.f64 (log.f64 N))) N)
(+.f64 N (neg.f64 (pow.f64 (cbrt.f64 (log.f64 N)) 3)))

eval204.0ms (3.5%)

Compiler

Compiled 7799 to 4929 computations (36.8% saved)

prune76.0ms (1.3%)

Pruning

11 alts after pruning (7 fresh and 4 done)

PrunedKeptTotal
New4976503
Fresh112
Picked145
Done000
Total49911510
Accuracy
100.0%
Counts
510 → 11
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶54.5%
(fma.f64 (pow.f64 (cbrt.f64 (log1p.f64 N)) 2) (cbrt.f64 (log1p.f64 N)) (neg.f64 (log.f64 N)))
▶19.1%
(/.f64 (-.f64 (*.f64 -1 (*.f64 N N)) (*.f64 (neg.f64 N) 1/2)) (*.f64 (neg.f64 N) (*.f64 N N)))
▶28.2%
(/.f64 (+.f64 N -1/2) (*.f64 N N))
▶48.9%
(/.f64 (+.f64 1 (/.f64 -1/2 N)) N)
▶28.3%
(/.f64 1 (/.f64 (*.f64 N N) (-.f64 N (/.f64 N (*.f64 N 2)))))
✓50.8%
(/.f64 1 N)
✓52.0%
(-.f64 N (log.f64 N))
29.2%
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 (+.f64 N -1/2) (*.f64 N N)))
✓50.6%
(neg.f64 (log.f64 N))
✓55.3%
(log.f64 (/.f64 (+.f64 N 1) N))
4.8%
N
▶54.5%
(fma.f64 (pow.f64 (cbrt.f64 (log1p.f64 N)) 2) (cbrt.f64 (log1p.f64 N)) (neg.f64 (log.f64 N)))
▶19.1%
(/.f64 (-.f64 (*.f64 -1 (*.f64 N N)) (*.f64 (neg.f64 N) 1/2)) (*.f64 (neg.f64 N) (*.f64 N N)))
▶28.2%
(/.f64 (+.f64 N -1/2) (*.f64 N N))
▶48.9%
(/.f64 (+.f64 1 (/.f64 -1/2 N)) N)
▶28.3%
(/.f64 1 (/.f64 (*.f64 N N) (-.f64 N (/.f64 N (*.f64 N 2)))))
✓50.8%
(/.f64 1 N)
✓52.0%
(-.f64 N (log.f64 N))
29.2%
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 (+.f64 N -1/2) (*.f64 N N)))
✓50.6%
(neg.f64 (log.f64 N))
✓55.3%
(log.f64 (/.f64 (+.f64 N 1) N))
4.8%
N
Compiler

Compiled 344 to 222 computations (35.5% saved)

localize210.0ms (3.6%)

Localize:

Found 11 expressions with local error:

NewAccuracyProgram
✓100.0%
(-.f64 (*.f64 -1 (*.f64 N N)) (*.f64 (neg.f64 N) 1/2))
✓99.8%
(*.f64 (neg.f64 N) (*.f64 N N))
✓63.0%
(/.f64 (-.f64 (*.f64 -1 (*.f64 N N)) (*.f64 (neg.f64 N) 1/2)) (*.f64 (neg.f64 N) (*.f64 N N)))
✓99.9%
(/.f64 1 (/.f64 (*.f64 N N) (-.f64 N (/.f64 N (*.f64 N 2)))))
✓79.3%
(/.f64 (*.f64 N N) (-.f64 N (/.f64 N (*.f64 N 2))))
✓79.1%
(/.f64 (+.f64 N -1/2) (*.f64 N N))
✓100.0%
(+.f64 1 (/.f64 -1/2 N))
✓99.9%
(/.f64 (+.f64 1 (/.f64 -1/2 N)) N)
✓99.2%
(pow.f64 (cbrt.f64 (log1p.f64 N)) 2)
✓99.2%
(cbrt.f64 (log1p.f64 N))
✓54.3%
(fma.f64 (pow.f64 (cbrt.f64 (log1p.f64 N)) 2) (cbrt.f64 (log1p.f64 N)) (neg.f64 (log.f64 N)))
Compiler

Compiled 159 to 74 computations (53.5% saved)

series55.0ms (0.9%)

Counts
11 → 121
Calls

33 calls:

TimeVariablePointExpression
35.0ms
N
@0
(fma.f64 (pow.f64 (cbrt.f64 (log1p.f64 N)) 2) (cbrt.f64 (log1p.f64 N)) (neg.f64 (log.f64 N)))
6.0ms
N
@inf
(fma.f64 (pow.f64 (cbrt.f64 (log1p.f64 N)) 2) (cbrt.f64 (log1p.f64 N)) (neg.f64 (log.f64 N)))
5.0ms
N
@-inf
(fma.f64 (pow.f64 (cbrt.f64 (log1p.f64 N)) 2) (cbrt.f64 (log1p.f64 N)) (neg.f64 (log.f64 N)))
1.0ms
N
@inf
(pow.f64 (cbrt.f64 (log1p.f64 N)) 2)
1.0ms
N
@inf
(cbrt.f64 (log1p.f64 N))

rewrite74.0ms (1.3%)

Algorithm
1×batch-egg-rewrite
Rules
738×add-sqr-sqrt
724×pow1
718×*-un-lft-identity
686×add-exp-log
686×log1p-expm1-u
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
033229
1756169
Stop Event
1×node limit
Counts
11 → 235
Calls
Call 1
Inputs
(fma.f64 (pow.f64 (cbrt.f64 (log1p.f64 N)) 2) (cbrt.f64 (log1p.f64 N)) (neg.f64 (log.f64 N)))
(cbrt.f64 (log1p.f64 N))
(pow.f64 (cbrt.f64 (log1p.f64 N)) 2)
(/.f64 (+.f64 1 (/.f64 -1/2 N)) N)
(+.f64 1 (/.f64 -1/2 N))
(/.f64 (+.f64 N -1/2) (*.f64 N N))
(/.f64 (*.f64 N N) (-.f64 N (/.f64 N (*.f64 N 2))))
(/.f64 1 (/.f64 (*.f64 N N) (-.f64 N (/.f64 N (*.f64 N 2)))))
(/.f64 (-.f64 (*.f64 -1 (*.f64 N N)) (*.f64 (neg.f64 N) 1/2)) (*.f64 (neg.f64 N) (*.f64 N N)))
(*.f64 (neg.f64 N) (*.f64 N N))
(-.f64 (*.f64 -1 (*.f64 N N)) (*.f64 (neg.f64 N) 1/2))
Outputs
(+.f64 (log1p.f64 N) (log.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 (pow.f64 (cbrt.f64 (+.f64 (log1p.f64 N) (log.f64 N))) 2) (cbrt.f64 (+.f64 (log1p.f64 N) (log.f64 N))))
(*.f64 (sqrt.f64 (+.f64 (log1p.f64 N) (log.f64 N))) (sqrt.f64 (+.f64 (log1p.f64 N) (log.f64 N))))
(pow.f64 (+.f64 (log1p.f64 N) (log.f64 N)) 1)
(pow.f64 (cbrt.f64 (+.f64 (log1p.f64 N) (log.f64 N))) 3)
(pow.f64 (pow.f64 (+.f64 (log1p.f64 N) (log.f64 N)) 3) 1/3)
(pow.f64 (sqrt.f64 (+.f64 (log1p.f64 N) (log.f64 N))) 2)
(sqrt.f64 (pow.f64 (+.f64 (log1p.f64 N) (log.f64 N)) 2))
(log.f64 (*.f64 (+.f64 1 N) N))
(log.f64 (+.f64 1 (-.f64 (*.f64 (+.f64 1 N) N) 1)))
(cbrt.f64 (pow.f64 (+.f64 (log1p.f64 N) (log.f64 N)) 3))
(expm1.f64 (log1p.f64 (+.f64 (log1p.f64 N) (log.f64 N))))
(exp.f64 (log.f64 (+.f64 (log1p.f64 N) (log.f64 N))))
(exp.f64 (*.f64 (log.f64 (+.f64 (log1p.f64 N) (log.f64 N))) 1))
(log1p.f64 (-.f64 (*.f64 (+.f64 1 N) N) 1))
(-.f64 (exp.f64 (log1p.f64 (cbrt.f64 (log1p.f64 N)))) 1)
(*.f64 1 (cbrt.f64 (log1p.f64 N)))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 N))) 2) (cbrt.f64 (cbrt.f64 (log1p.f64 N))))
(*.f64 (pow.f64 (log1p.f64 N) 1/6) (pow.f64 (log1p.f64 N) 1/6))
(*.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (log1p.f64 N)) 4))) (sqrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 N))) 2)))
(*.f64 (pow.f64 1 1/3) (cbrt.f64 (log1p.f64 N)))
(*.f64 (pow.f64 (sqrt.f64 (log1p.f64 N)) 1/3) (pow.f64 (sqrt.f64 (log1p.f64 N)) 1/3))
(pow.f64 (log1p.f64 N) 1/3)
(pow.f64 (cbrt.f64 (log1p.f64 N)) 1)
(pow.f64 (pow.f64 (cbrt.f64 (log1p.f64 N)) 2) 1/2)
(pow.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 N))) 3)
(pow.f64 (pow.f64 (log1p.f64 N) 1/6) 2)
(sqrt.f64 (pow.f64 (cbrt.f64 (log1p.f64 N)) 2))
(fabs.f64 (cbrt.f64 (log1p.f64 N)))
(log.f64 (exp.f64 (cbrt.f64 (log1p.f64 N))))
(log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 (log1p.f64 N)))))
(expm1.f64 (log1p.f64 (cbrt.f64 (log1p.f64 N))))
(exp.f64 (log.f64 (cbrt.f64 (log1p.f64 N))))
(exp.f64 (*.f64 (log.f64 (log1p.f64 N)) 1/3))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (log1p.f64 N))) 1))
(log1p.f64 (expm1.f64 (cbrt.f64 (log1p.f64 N))))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (cbrt.f64 (log1p.f64 N)) 2))) 1)
(*.f64 (cbrt.f64 (log1p.f64 N)) (cbrt.f64 (log1p.f64 N)))
(*.f64 1 (pow.f64 (cbrt.f64 (log1p.f64 N)) 2))
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (log1p.f64 N)) 4)) (pow.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 N))) 2))
(sqrt.f64 (pow.f64 (cbrt.f64 (log1p.f64 N)) 4))
(log.f64 (exp.f64 (pow.f64 (cbrt.f64 (log1p.f64 N)) 2)))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (cbrt.f64 (log1p.f64 N)) 2))))
(cbrt.f64 (pow.f64 (log1p.f64 N) 2))
(expm1.f64 (log1p.f64 (pow.f64 (cbrt.f64 (log1p.f64 N)) 2)))
(exp.f64 (*.f64 2 (log.f64 (cbrt.f64 (log1p.f64 N)))))
(exp.f64 (*.f64 (*.f64 2 (log.f64 (cbrt.f64 (log1p.f64 N)))) 1))
(log1p.f64 (expm1.f64 (pow.f64 (cbrt.f64 (log1p.f64 N)) 2)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (fma.f64 -1/2 N 1) N))) 1)
(*.f64 1 (*.f64 (fma.f64 -1/2 N 1) N))
(*.f64 (fma.f64 -1/2 N 1) N)
(*.f64 (pow.f64 (cbrt.f64 (*.f64 (fma.f64 -1/2 N 1) N)) 2) (cbrt.f64 (*.f64 (fma.f64 -1/2 N 1) N)))
(*.f64 (sqrt.f64 (*.f64 (fma.f64 -1/2 N 1) N)) (sqrt.f64 (*.f64 (fma.f64 -1/2 N 1) N)))
(pow.f64 (*.f64 (fma.f64 -1/2 N 1) N) 1)
(pow.f64 (cbrt.f64 (*.f64 (fma.f64 -1/2 N 1) N)) 3)
(pow.f64 (pow.f64 (*.f64 (fma.f64 -1/2 N 1) N) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 (fma.f64 -1/2 N 1) N)) 2)
(pow.f64 (/.f64 N (fma.f64 -1/2 N 1)) -1)
(sqrt.f64 (pow.f64 (*.f64 (fma.f64 -1/2 N 1) N) 2))
(log.f64 (pow.f64 (exp.f64 (fma.f64 -1/2 N 1)) N))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (fma.f64 -1/2 N 1) N))))
(cbrt.f64 (pow.f64 (*.f64 (fma.f64 -1/2 N 1) N) 3))
(cbrt.f64 (/.f64 (pow.f64 (fma.f64 -1/2 N 1) 3) (pow.f64 N 3)))
(expm1.f64 (log1p.f64 (*.f64 (fma.f64 -1/2 N 1) N)))
(exp.f64 (log.f64 (*.f64 (fma.f64 -1/2 N 1) N)))
(exp.f64 (*.f64 (log.f64 (*.f64 (fma.f64 -1/2 N 1) N)) 1))
(log1p.f64 (expm1.f64 (*.f64 (fma.f64 -1/2 N 1) N)))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 -1/2 N 1))) 1)
(*.f64 1 (fma.f64 -1/2 N 1))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 -1/2 N 1)) 2) (cbrt.f64 (fma.f64 -1/2 N 1)))
(*.f64 (sqrt.f64 (fma.f64 -1/2 N 1)) (sqrt.f64 (fma.f64 -1/2 N 1)))
(/.f64 (+.f64 1 (*.f64 -1/8 (pow.f64 N 3))) (+.f64 1 (-.f64 (/.f64 1/4 (*.f64 N N)) (*.f64 -1/2 N))))
(/.f64 (-.f64 1 (/.f64 1/4 (*.f64 N N))) (-.f64 1 (*.f64 -1/2 N)))
(pow.f64 (fma.f64 -1/2 N 1) 1)
(pow.f64 (cbrt.f64 (fma.f64 -1/2 N 1)) 3)
(pow.f64 (pow.f64 (fma.f64 -1/2 N 1) 3) 1/3)
(pow.f64 (sqrt.f64 (fma.f64 -1/2 N 1)) 2)
(sqrt.f64 (pow.f64 (fma.f64 -1/2 N 1) 2))
(log.f64 (exp.f64 (fma.f64 -1/2 N 1)))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 -1/2 N 1))))
(cbrt.f64 (pow.f64 (fma.f64 -1/2 N 1) 3))
(expm1.f64 (log1p.f64 (fma.f64 -1/2 N 1)))
(exp.f64 (log1p.f64 (*.f64 -1/2 N)))
(exp.f64 (*.f64 (log1p.f64 (*.f64 -1/2 N)) 1))
(log1p.f64 (expm1.f64 (fma.f64 -1/2 N 1)))
(fma.f64 1 (*.f64 -1/2 N) 1)
(fma.f64 -1/2 N 1)
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 -1/2 N)) 2) (cbrt.f64 (*.f64 -1/2 N)) 1)
(fma.f64 (sqrt.f64 (*.f64 -1/2 N)) (sqrt.f64 (*.f64 -1/2 N)) 1)
(-.f64 (exp.f64 (log1p.f64 (*.f64 (+.f64 N -1/2) (pow.f64 N -2)))) 1)
(*.f64 1 (*.f64 (+.f64 N -1/2) (pow.f64 N -2)))
(*.f64 (+.f64 N -1/2) (pow.f64 N -2))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 (+.f64 N -1/2) (pow.f64 N -2))) 2) (cbrt.f64 (*.f64 (+.f64 N -1/2) (pow.f64 N -2))))
(*.f64 (/.f64 (sqrt.f64 (+.f64 N -1/2)) N) (/.f64 (sqrt.f64 (+.f64 N -1/2)) N))
(*.f64 (pow.f64 N -2) (+.f64 N -1/2))
(*.f64 (pow.f64 N -2) (pow.f64 (/.f64 1 (+.f64 N -1/2)) -1))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (/.f64 (*.f64 N N) (+.f64 N -1/2))) 2) -1) (pow.f64 (cbrt.f64 (/.f64 (*.f64 N N) (+.f64 N -1/2))) -1))
(*.f64 (pow.f64 (/.f64 N (sqrt.f64 (+.f64 N -1/2))) -1) (pow.f64 (/.f64 N (sqrt.f64 (+.f64 N -1/2))) -1))
(pow.f64 (/.f64 (*.f64 N N) (+.f64 N -1/2)) -1)
(pow.f64 (*.f64 (+.f64 N -1/2) (pow.f64 N -2)) 1)
(pow.f64 (cbrt.f64 (*.f64 (+.f64 N -1/2) (pow.f64 N -2))) 3)
(pow.f64 (pow.f64 (*.f64 (+.f64 N -1/2) (pow.f64 N -2)) 3) 1/3)
(pow.f64 (/.f64 (sqrt.f64 (+.f64 N -1/2)) N) 2)
(pow.f64 (/.f64 (/.f64 (*.f64 N N) (+.f64 N -1/2)) 1) -1)
(sqrt.f64 (/.f64 (pow.f64 (+.f64 N -1/2) 2) (pow.f64 N 4)))
(log.f64 (pow.f64 (exp.f64 (+.f64 N -1/2)) (pow.f64 N -2)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (+.f64 N -1/2) (pow.f64 N -2)))))
(cbrt.f64 (pow.f64 (*.f64 (+.f64 N -1/2) (pow.f64 N -2)) 3))
(cbrt.f64 (/.f64 (pow.f64 (+.f64 N -1/2) 3) (pow.f64 (*.f64 N N) 3)))
(expm1.f64 (log1p.f64 (*.f64 (+.f64 N -1/2) (pow.f64 N -2))))
(exp.f64 (log.f64 (*.f64 (+.f64 N -1/2) (pow.f64 N -2))))
(exp.f64 (*.f64 (log.f64 (/.f64 (*.f64 N N) (+.f64 N -1/2))) -1))
(exp.f64 (*.f64 (log.f64 (*.f64 (+.f64 N -1/2) (pow.f64 N -2))) 1))
(log1p.f64 (expm1.f64 (*.f64 (+.f64 N -1/2) (pow.f64 N -2))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (*.f64 N N) (+.f64 N -1/2)))) 1)
(*.f64 1 (/.f64 (*.f64 N N) (+.f64 N -1/2)))
(*.f64 (*.f64 N N) (/.f64 1 (+.f64 N -1/2)))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (*.f64 N N) (+.f64 N -1/2))) 2) (cbrt.f64 (/.f64 (*.f64 N N) (+.f64 N -1/2))))
(*.f64 (/.f64 N (sqrt.f64 (+.f64 N -1/2))) (/.f64 N (sqrt.f64 (+.f64 N -1/2))))
(pow.f64 (/.f64 (*.f64 N N) (+.f64 N -1/2)) 1)
(pow.f64 (*.f64 (+.f64 N -1/2) (pow.f64 N -2)) -1)
(pow.f64 (cbrt.f64 (/.f64 (*.f64 N N) (+.f64 N -1/2))) 3)
(pow.f64 (pow.f64 (/.f64 (*.f64 N N) (+.f64 N -1/2)) 3) 1/3)
(pow.f64 (/.f64 N (sqrt.f64 (+.f64 N -1/2))) 2)
(sqrt.f64 (/.f64 (pow.f64 N 4) (pow.f64 (+.f64 N -1/2) 2)))
(log.f64 (exp.f64 (/.f64 (*.f64 N N) (+.f64 N -1/2))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (*.f64 N N) (+.f64 N -1/2)))))
(cbrt.f64 (pow.f64 (/.f64 (*.f64 N N) (+.f64 N -1/2)) 3))
(cbrt.f64 (/.f64 (pow.f64 (*.f64 N N) 3) (pow.f64 (+.f64 N -1/2) 3)))
(expm1.f64 (log1p.f64 (/.f64 (*.f64 N N) (+.f64 N -1/2))))
(exp.f64 (log.f64 (/.f64 (*.f64 N N) (+.f64 N -1/2))))
(exp.f64 (*.f64 (log.f64 (/.f64 (*.f64 N N) (+.f64 N -1/2))) 1))
(log1p.f64 (expm1.f64 (/.f64 (*.f64 N N) (+.f64 N -1/2))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (+.f64 N -1/2) (pow.f64 N -2)))) 1)
(*.f64 1 (*.f64 (+.f64 N -1/2) (pow.f64 N -2)))
(*.f64 (+.f64 N -1/2) (pow.f64 N -2))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 (+.f64 N -1/2) (pow.f64 N -2))) 2) (cbrt.f64 (*.f64 (+.f64 N -1/2) (pow.f64 N -2))))
(*.f64 (/.f64 (sqrt.f64 (+.f64 N -1/2)) N) (/.f64 (sqrt.f64 (+.f64 N -1/2)) N))
(*.f64 (pow.f64 N -2) (+.f64 N -1/2))
(*.f64 (pow.f64 N -2) (pow.f64 (/.f64 1 (+.f64 N -1/2)) -1))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (/.f64 (*.f64 N N) (+.f64 N -1/2))) 2) -1) (pow.f64 (cbrt.f64 (/.f64 (*.f64 N N) (+.f64 N -1/2))) -1))
(*.f64 (pow.f64 (/.f64 N (sqrt.f64 (+.f64 N -1/2))) -1) (pow.f64 (/.f64 N (sqrt.f64 (+.f64 N -1/2))) -1))
(pow.f64 (/.f64 (*.f64 N N) (+.f64 N -1/2)) -1)
(pow.f64 (*.f64 (+.f64 N -1/2) (pow.f64 N -2)) 1)
(pow.f64 (cbrt.f64 (*.f64 (+.f64 N -1/2) (pow.f64 N -2))) 3)
(pow.f64 (pow.f64 (*.f64 (+.f64 N -1/2) (pow.f64 N -2)) 3) 1/3)
(pow.f64 (/.f64 (sqrt.f64 (+.f64 N -1/2)) N) 2)
(pow.f64 (/.f64 (/.f64 (*.f64 N N) (+.f64 N -1/2)) 1) -1)
(sqrt.f64 (/.f64 (pow.f64 (+.f64 N -1/2) 2) (pow.f64 N 4)))
(log.f64 (pow.f64 (exp.f64 (+.f64 N -1/2)) (pow.f64 N -2)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (+.f64 N -1/2) (pow.f64 N -2)))))
(cbrt.f64 (pow.f64 (*.f64 (+.f64 N -1/2) (pow.f64 N -2)) 3))
(cbrt.f64 (/.f64 (pow.f64 (+.f64 N -1/2) 3) (pow.f64 (*.f64 N N) 3)))
(expm1.f64 (log1p.f64 (*.f64 (+.f64 N -1/2) (pow.f64 N -2))))
(exp.f64 (log.f64 (*.f64 (+.f64 N -1/2) (pow.f64 N -2))))
(exp.f64 (*.f64 (log.f64 (/.f64 (*.f64 N N) (+.f64 N -1/2))) -1))
(exp.f64 (*.f64 (log.f64 (*.f64 (+.f64 N -1/2) (pow.f64 N -2))) 1))
(log1p.f64 (expm1.f64 (*.f64 (+.f64 N -1/2) (pow.f64 N -2))))
(-.f64 (/.f64 (*.f64 N N) (pow.f64 N 3)) (/.f64 (*.f64 N 1/2) (pow.f64 N 3)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (fma.f64 N N (*.f64 N 1/2)) (pow.f64 N 3)))) 1)
(*.f64 1 (/.f64 (fma.f64 N N (*.f64 N 1/2)) (pow.f64 N 3)))
(*.f64 (fma.f64 N N (*.f64 N 1/2)) (/.f64 1 (pow.f64 N 3)))
(*.f64 (pow.f64 (/.f64 (cbrt.f64 (fma.f64 N N (*.f64 N 1/2))) N) 2) (/.f64 (cbrt.f64 (fma.f64 N N (*.f64 N 1/2))) N))
(*.f64 (/.f64 (sqrt.f64 (/.f64 (fma.f64 N N (*.f64 N 1/2)) N)) N) (/.f64 (sqrt.f64 (/.f64 (fma.f64 N N (*.f64 N 1/2)) N)) N))
(pow.f64 (/.f64 (fma.f64 N N (*.f64 N 1/2)) (pow.f64 N 3)) 1)
(pow.f64 (/.f64 (cbrt.f64 (fma.f64 N N (*.f64 N 1/2))) N) 3)
(pow.f64 (pow.f64 (/.f64 (fma.f64 N N (*.f64 N 1/2)) (pow.f64 N 3)) 3) 1/3)
(pow.f64 (/.f64 (sqrt.f64 (/.f64 (fma.f64 N N (*.f64 N 1/2)) N)) N) 2)
(pow.f64 (/.f64 (pow.f64 N 3) (fma.f64 N N (*.f64 N 1/2))) -1)
(sqrt.f64 (pow.f64 (/.f64 (fma.f64 N N (*.f64 N 1/2)) (pow.f64 N 3)) 2))
(log.f64 (exp.f64 (/.f64 (fma.f64 N N (*.f64 N 1/2)) (pow.f64 N 3))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (fma.f64 N N (*.f64 N 1/2)) (pow.f64 N 3)))))
(cbrt.f64 (pow.f64 (/.f64 (fma.f64 N N (*.f64 N 1/2)) (pow.f64 N 3)) 3))
(cbrt.f64 (/.f64 (pow.f64 (fma.f64 N N (*.f64 N 1/2)) 3) (pow.f64 (pow.f64 N 3) 3)))
(expm1.f64 (log1p.f64 (/.f64 (fma.f64 N N (*.f64 N 1/2)) (pow.f64 N 3))))
(exp.f64 (log.f64 (/.f64 (fma.f64 N N (*.f64 N 1/2)) (pow.f64 N 3))))
(exp.f64 (*.f64 (log.f64 (/.f64 (fma.f64 N N (*.f64 N 1/2)) (pow.f64 N 3))) 1))
(log1p.f64 (expm1.f64 (/.f64 (fma.f64 N N (*.f64 N 1/2)) (pow.f64 N 3))))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 N 3))) 1)
(pow.f64 N 3)
(pow.f64 (pow.f64 (pow.f64 N 3) 3) 1/3)
(pow.f64 (*.f64 N (sqrt.f64 N)) 2)
(pow.f64 (pow.f64 N 3) 1)
(neg.f64 (pow.f64 N 3))
(sqrt.f64 (pow.f64 (*.f64 N N) 3))
(log.f64 (exp.f64 (pow.f64 N 3)))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 N 3))))
(cbrt.f64 (pow.f64 (pow.f64 N 3) 3))
(cbrt.f64 (*.f64 (pow.f64 N 3) (pow.f64 (*.f64 N N) 3)))
(expm1.f64 (log1p.f64 (pow.f64 N 3)))
(exp.f64 (log.f64 (pow.f64 N 3)))
(exp.f64 (*.f64 (log.f64 (pow.f64 N 3)) 1))
(exp.f64 (*.f64 (log.f64 N) 3))
(log1p.f64 (expm1.f64 (pow.f64 N 3)))
(+.f64 (*.f64 N N) (*.f64 N 1/2))
(+.f64 (fma.f64 N N (*.f64 N 1/2)) (fma.f64 -1/2 N (*.f64 N 1/2)))
(+.f64 (fma.f64 N N (*.f64 N 1/2)) (fma.f64 N 1/2 (*.f64 N 1/2)))
(+.f64 (fma.f64 N N (*.f64 N 1/2)) (fma.f64 (neg.f64 (sqrt.f64 (*.f64 N 1/2))) (sqrt.f64 (*.f64 N 1/2)) (*.f64 N 1/2)))
(+.f64 (fma.f64 1 (*.f64 N N) (neg.f64 (*.f64 (*.f64 N 1/2) 1))) (fma.f64 (*.f64 N 1/2) 1 (*.f64 (*.f64 N 1/2) 1)))
(+.f64 (fma.f64 1 (*.f64 N N) (neg.f64 (*.f64 (cbrt.f64 (*.f64 N 1/2)) (pow.f64 (cbrt.f64 (*.f64 N 1/2)) 2)))) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 N 1/2))) (pow.f64 (cbrt.f64 (*.f64 N 1/2)) 2) (*.f64 (cbrt.f64 (*.f64 N 1/2)) (pow.f64 (cbrt.f64 (*.f64 N 1/2)) 2))))
(+.f64 (fma.f64 (*.f64 N N) -1 (neg.f64 (*.f64 (*.f64 N 1/2) 1))) (fma.f64 (*.f64 N 1/2) 1 (*.f64 (*.f64 N 1/2) 1)))
(+.f64 (fma.f64 (*.f64 N N) -1 (neg.f64 (*.f64 (cbrt.f64 (*.f64 N 1/2)) (pow.f64 (cbrt.f64 (*.f64 N 1/2)) 2)))) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 N 1/2))) (pow.f64 (cbrt.f64 (*.f64 N 1/2)) 2) (*.f64 (cbrt.f64 (*.f64 N 1/2)) (pow.f64 (cbrt.f64 (*.f64 N 1/2)) 2))))
(+.f64 (fma.f64 -1 (*.f64 N N) (neg.f64 (*.f64 (*.f64 N 1/2) 1))) (fma.f64 (*.f64 N 1/2) 1 (*.f64 (*.f64 N 1/2) 1)))
(+.f64 (fma.f64 -1 (*.f64 N N) (neg.f64 (*.f64 (cbrt.f64 (*.f64 N 1/2)) (pow.f64 (cbrt.f64 (*.f64 N 1/2)) 2)))) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 N 1/2))) (pow.f64 (cbrt.f64 (*.f64 N 1/2)) 2) (*.f64 (cbrt.f64 (*.f64 N 1/2)) (pow.f64 (cbrt.f64 (*.f64 N 1/2)) 2))))
(+.f64 (fma.f64 (cbrt.f64 (pow.f64 N 4)) (pow.f64 (cbrt.f64 N) 2) (neg.f64 (*.f64 (*.f64 N 1/2) 1))) (fma.f64 (*.f64 N 1/2) 1 (*.f64 (*.f64 N 1/2) 1)))
(+.f64 (fma.f64 (cbrt.f64 (pow.f64 N 4)) (pow.f64 (cbrt.f64 N) 2) (neg.f64 (*.f64 (cbrt.f64 (*.f64 N 1/2)) (pow.f64 (cbrt.f64 (*.f64 N 1/2)) 2)))) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 N 1/2))) (pow.f64 (cbrt.f64 (*.f64 N 1/2)) 2) (*.f64 (cbrt.f64 (*.f64 N 1/2)) (pow.f64 (cbrt.f64 (*.f64 N 1/2)) 2))))
(+.f64 (fma.f64 N N (neg.f64 (*.f64 (*.f64 N 1/2) 1))) (fma.f64 (*.f64 N 1/2) 1 (*.f64 (*.f64 N 1/2) 1)))
(+.f64 (fma.f64 N N (neg.f64 (*.f64 (cbrt.f64 (*.f64 N 1/2)) (pow.f64 (cbrt.f64 (*.f64 N 1/2)) 2)))) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 N 1/2))) (pow.f64 (cbrt.f64 (*.f64 N 1/2)) 2) (*.f64 (cbrt.f64 (*.f64 N 1/2)) (pow.f64 (cbrt.f64 (*.f64 N 1/2)) 2))))
(*.f64 1 (fma.f64 N N (*.f64 N 1/2)))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 N N (*.f64 N 1/2))) 2) (cbrt.f64 (fma.f64 N N (*.f64 N 1/2))))
(*.f64 (sqrt.f64 (fma.f64 N N (*.f64 N 1/2))) (sqrt.f64 (fma.f64 N N (*.f64 N 1/2))))
(/.f64 (-.f64 (pow.f64 (*.f64 N N) 3) (*.f64 1/8 (pow.f64 N 3))) (+.f64 (pow.f64 N 4) (+.f64 (pow.f64 (*.f64 N 1/2) 2) (*.f64 (*.f64 N N) (*.f64 N 1/2)))))
(/.f64 (-.f64 (pow.f64 N 4) (pow.f64 (*.f64 N 1/2) 2)) (fma.f64 N N (*.f64 N 1/2)))
(pow.f64 (fma.f64 N N (*.f64 N 1/2)) 1)
(pow.f64 (cbrt.f64 (fma.f64 N N (*.f64 N 1/2))) 3)
(pow.f64 (pow.f64 (fma.f64 N N (*.f64 N 1/2)) 3) 1/3)
(pow.f64 (sqrt.f64 (fma.f64 N N (*.f64 N 1/2))) 2)
(sqrt.f64 (pow.f64 (fma.f64 N N (*.f64 N 1/2)) 2))
(log.f64 (exp.f64 (fma.f64 N N (*.f64 N 1/2))))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 N N (*.f64 N 1/2)))))
(cbrt.f64 (pow.f64 (fma.f64 N N (*.f64 N 1/2)) 3))
(expm1.f64 (log1p.f64 (fma.f64 N N (*.f64 N 1/2))))
(exp.f64 (log.f64 (fma.f64 N N (*.f64 N 1/2))))
(exp.f64 (*.f64 (log.f64 (fma.f64 N N (*.f64 N 1/2))) 1))
(log1p.f64 (expm1.f64 (fma.f64 N N (*.f64 N 1/2))))
(fma.f64 N N (*.f64 N 1/2))
(fma.f64 1 (*.f64 N N) (*.f64 N 1/2))
(fma.f64 1 (fma.f64 N N (*.f64 N 1/2)) (fma.f64 -1/2 N (*.f64 N 1/2)))
(fma.f64 (*.f64 N N) -1 (*.f64 N 1/2))
(fma.f64 -1 (*.f64 N N) (*.f64 N 1/2))
(fma.f64 (cbrt.f64 (pow.f64 N 4)) (pow.f64 (cbrt.f64 N) 2) (*.f64 N 1/2))
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 N N (*.f64 N 1/2))) 2) (cbrt.f64 (fma.f64 N N (*.f64 N 1/2))) (fma.f64 -1/2 N (*.f64 N 1/2)))
(fma.f64 (sqrt.f64 (fma.f64 N N (*.f64 N 1/2))) (sqrt.f64 (fma.f64 N N (*.f64 N 1/2))) (fma.f64 -1/2 N (*.f64 N 1/2)))

simplify135.0ms (2.3%)

Algorithm
1×egg-herbie
Rules
1072×associate-*r*
898×associate-*l*
884×fma-def
488×times-frac
470×associate-/r*
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
074117248
1205015232
Stop Event
1×node limit
Counts
356 → 387
Calls
Call 1
Inputs
(*.f64 -1 (log.f64 N))
(-.f64 (*.f64 -1 (*.f64 (pow.f64 1 1/3) (log.f64 (/.f64 1 N)))) (*.f64 -1 (log.f64 (/.f64 1 N))))
(-.f64 (+.f64 (*.f64 -1 (*.f64 (pow.f64 1 1/3) (log.f64 (/.f64 1 N)))) (+.f64 (*.f64 1/3 (*.f64 (/.f64 1 N) (*.f64 (pow.f64 (*.f64 (pow.f64 1 4) (pow.f64 (log.f64 (/.f64 1 N)) 4)) 1/9) (pow.f64 (pow.f64 (cbrt.f64 -1) 4) 1/3)))) (*.f64 2/3 (*.f64 (/.f64 1 N) (*.f64 (pow.f64 (*.f64 (pow.f64 1 4) (pow.f64 (log.f64 (/.f64 1 N)) 4)) 1/9) (pow.f64 (pow.f64 (cbrt.f64 -1) 4) 1/3)))))) (*.f64 -1 (log.f64 (/.f64 1 N))))
(-.f64 (+.f64 (*.f64 2/9 (*.f64 (/.f64 1 (pow.f64 N 2)) (*.f64 (pow.f64 (/.f64 (pow.f64 1 4) (log.f64 (/.f64 1 N))) 1/9) (pow.f64 (/.f64 1 (cbrt.f64 -1)) 1/3)))) (+.f64 (*.f64 -1 (*.f64 (pow.f64 1 1/3) (log.f64 (/.f64 1 N)))) (+.f64 (*.f64 1/3 (*.f64 (/.f64 1 N) (*.f64 (pow.f64 (*.f64 (pow.f64 1 4) (pow.f64 (log.f64 (/.f64 1 N)) 4)) 1/9) (pow.f64 (pow.f64 (cbrt.f64 -1) 4) 1/3)))) (+.f64 (*.f64 (/.f64 (*.f64 (+.f64 (*.f64 -2/3 (*.f64 (pow.f64 (/.f64 1 (log.f64 (/.f64 1 N))) 1/3) (/.f64 (+.f64 1/2 (*.f64 1/3 (*.f64 (pow.f64 (/.f64 (pow.f64 1 4) (log.f64 (/.f64 1 N))) 1/9) (pow.f64 (/.f64 1 (cbrt.f64 -1)) 1/3)))) (cbrt.f64 -1)))) (*.f64 1/9 (*.f64 (pow.f64 (/.f64 (pow.f64 1 4) (pow.f64 (log.f64 (/.f64 1 N)) 4)) 1/9) (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 4)) 1/3)))) (cbrt.f64 -1)) (pow.f64 N 2)) (pow.f64 (*.f64 1 (log.f64 (/.f64 1 N))) 1/3)) (+.f64 (*.f64 -1/3 (*.f64 (/.f64 (+.f64 1/2 (*.f64 1/3 (*.f64 (pow.f64 (/.f64 (pow.f64 1 4) (log.f64 (/.f64 1 N))) 1/9) (pow.f64 (/.f64 1 (cbrt.f64 -1)) 1/3)))) (pow.f64 N 2)) (pow.f64 1 1/3))) (*.f64 2/3 (*.f64 (/.f64 1 N) (*.f64 (pow.f64 (*.f64 (pow.f64 1 4) (pow.f64 (log.f64 (/.f64 1 N)) 4)) 1/9) (pow.f64 (pow.f64 (cbrt.f64 -1) 4) 1/3))))))))) (*.f64 -1 (log.f64 (/.f64 1 N))))
(-.f64 (+.f64 (*.f64 -1 (*.f64 (pow.f64 1 1/3) (log.f64 (/.f64 1 N)))) (+.f64 (*.f64 2/9 (*.f64 (/.f64 1 (pow.f64 N 2)) (*.f64 (pow.f64 (/.f64 (pow.f64 1 4) (log.f64 (/.f64 1 N))) 1/9) (pow.f64 (/.f64 1 (cbrt.f64 -1)) 1/3)))) (+.f64 (*.f64 (/.f64 (*.f64 (+.f64 (*.f64 -2/3 (*.f64 (pow.f64 (/.f64 1 (log.f64 (/.f64 1 N))) 1/3) (/.f64 (+.f64 1/2 (*.f64 1/3 (*.f64 (pow.f64 (/.f64 (pow.f64 1 4) (log.f64 (/.f64 1 N))) 1/9) (pow.f64 (/.f64 1 (cbrt.f64 -1)) 1/3)))) (cbrt.f64 -1)))) (*.f64 1/9 (*.f64 (pow.f64 (/.f64 (pow.f64 1 4) (pow.f64 (log.f64 (/.f64 1 N)) 4)) 1/9) (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 4)) 1/3)))) (cbrt.f64 -1)) (pow.f64 N 2)) (pow.f64 (*.f64 1 (log.f64 (/.f64 1 N))) 1/3)) (+.f64 (*.f64 2/3 (*.f64 (/.f64 1 N) (*.f64 (pow.f64 (*.f64 (pow.f64 1 4) (pow.f64 (log.f64 (/.f64 1 N)) 4)) 1/9) (pow.f64 (pow.f64 (cbrt.f64 -1) 4) 1/3)))) (+.f64 (*.f64 -2/9 (*.f64 (/.f64 (+.f64 1/2 (*.f64 1/3 (*.f64 (pow.f64 (/.f64 (pow.f64 1 4) (log.f64 (/.f64 1 N))) 1/9) (pow.f64 (/.f64 1 (cbrt.f64 -1)) 1/3)))) (pow.f64 N 3)) (*.f64 (pow.f64 (/.f64 (pow.f64 1 4) (pow.f64 (log.f64 (/.f64 1 N)) 5)) 1/9) (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 5)) 1/3)))) (+.f64 (*.f64 1/3 (*.f64 (/.f64 (-.f64 1/3 (+.f64 (*.f64 -2/3 (*.f64 (pow.f64 (/.f64 (pow.f64 1 4) (pow.f64 (log.f64 (/.f64 1 N)) 5)) 1/9) (*.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 5)) 1/3) (+.f64 1/2 (*.f64 1/3 (*.f64 (pow.f64 (/.f64 (pow.f64 1 4) (log.f64 (/.f64 1 N))) 1/9) (pow.f64 (/.f64 1 (cbrt.f64 -1)) 1/3))))))) (*.f64 1/27 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 (/.f64 1 N)) 2)) 1/3) (/.f64 1 (pow.f64 (cbrt.f64 -1) 2)))))) (pow.f64 N 3)) (pow.f64 1 1/3))) (+.f64 (*.f64 1/3 (*.f64 (/.f64 (+.f64 (*.f64 -2/3 (*.f64 (pow.f64 (/.f64 1 (log.f64 (/.f64 1 N))) 1/3) (/.f64 (+.f64 1/2 (*.f64 1/3 (*.f64 (pow.f64 (/.f64 (pow.f64 1 4) (log.f64 (/.f64 1 N))) 1/9) (pow.f64 (/.f64 1 (cbrt.f64 -1)) 1/3)))) (cbrt.f64 -1)))) (*.f64 1/9 (*.f64 (pow.f64 (/.f64 (pow.f64 1 4) (pow.f64 (log.f64 (/.f64 1 N)) 4)) 1/9) (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 4)) 1/3)))) (pow.f64 N 3)) (*.f64 (pow.f64 (/.f64 (pow.f64 1 4) (pow.f64 (log.f64 (/.f64 1 N)) 2)) 1/9) (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 2)) 1/3)))) (+.f64 (*.f64 1/3 (*.f64 (/.f64 1 N) (*.f64 (pow.f64 (*.f64 (pow.f64 1 4) (pow.f64 (log.f64 (/.f64 1 N)) 4)) 1/9) (pow.f64 (pow.f64 (cbrt.f64 -1) 4) 1/3)))) (+.f64 (*.f64 -1/3 (*.f64 (/.f64 (+.f64 1/2 (*.f64 1/3 (*.f64 (pow.f64 (/.f64 (pow.f64 1 4) (log.f64 (/.f64 1 N))) 1/9) (pow.f64 (/.f64 1 (cbrt.f64 -1)) 1/3)))) (pow.f64 N 2)) (pow.f64 1 1/3))) (*.f64 (/.f64 (*.f64 (cbrt.f64 -1) (+.f64 (*.f64 -2/9 (*.f64 (pow.f64 (/.f64 (pow.f64 1 4) (pow.f64 (log.f64 (/.f64 1 N)) 8)) 1/9) (*.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 8)) 1/3) (+.f64 1/2 (*.f64 1/3 (*.f64 (pow.f64 (/.f64 (pow.f64 1 4) (log.f64 (/.f64 1 N))) 1/9) (pow.f64 (/.f64 1 (cbrt.f64 -1)) 1/3))))))) (*.f64 2/3 (*.f64 (pow.f64 (/.f64 1 (log.f64 (/.f64 1 N))) 1/3) (/.f64 (-.f64 1/3 (+.f64 (*.f64 -2/3 (*.f64 (pow.f64 (/.f64 (pow.f64 1 4) (pow.f64 (log.f64 (/.f64 1 N)) 5)) 1/9) (*.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 5)) 1/3) (+.f64 1/2 (*.f64 1/3 (*.f64 (pow.f64 (/.f64 (pow.f64 1 4) (log.f64 (/.f64 1 N))) 1/9) (pow.f64 (/.f64 1 (cbrt.f64 -1)) 1/3))))))) (*.f64 1/27 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 (/.f64 1 N)) 2)) 1/3) (/.f64 1 (pow.f64 (cbrt.f64 -1) 2)))))) (cbrt.f64 -1)))))) (pow.f64 N 3)) (pow.f64 (*.f64 1 (log.f64 (/.f64 1 N))) 1/3))))))))))) (*.f64 -1 (log.f64 (/.f64 1 N))))
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N
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N
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(pow.f64 (/.f64 (pow.f64 N 3) (fma.f64 N N (*.f64 N 1/2))) -1)
(sqrt.f64 (pow.f64 (/.f64 (fma.f64 N N (*.f64 N 1/2)) (pow.f64 N 3)) 2))
(log.f64 (exp.f64 (/.f64 (fma.f64 N N (*.f64 N 1/2)) (pow.f64 N 3))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (fma.f64 N N (*.f64 N 1/2)) (pow.f64 N 3)))))
(cbrt.f64 (pow.f64 (/.f64 (fma.f64 N N (*.f64 N 1/2)) (pow.f64 N 3)) 3))
(cbrt.f64 (/.f64 (pow.f64 (fma.f64 N N (*.f64 N 1/2)) 3) (pow.f64 (pow.f64 N 3) 3)))
(expm1.f64 (log1p.f64 (/.f64 (fma.f64 N N (*.f64 N 1/2)) (pow.f64 N 3))))
(exp.f64 (log.f64 (/.f64 (fma.f64 N N (*.f64 N 1/2)) (pow.f64 N 3))))
(exp.f64 (*.f64 (log.f64 (/.f64 (fma.f64 N N (*.f64 N 1/2)) (pow.f64 N 3))) 1))
(log1p.f64 (expm1.f64 (/.f64 (fma.f64 N N (*.f64 N 1/2)) (pow.f64 N 3))))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 N 3))) 1)
(pow.f64 N 3)
(pow.f64 (pow.f64 (pow.f64 N 3) 3) 1/3)
(pow.f64 (*.f64 N (sqrt.f64 N)) 2)
(pow.f64 (pow.f64 N 3) 1)
(neg.f64 (pow.f64 N 3))
(sqrt.f64 (pow.f64 (*.f64 N N) 3))
(log.f64 (exp.f64 (pow.f64 N 3)))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 N 3))))
(cbrt.f64 (pow.f64 (pow.f64 N 3) 3))
(cbrt.f64 (*.f64 (pow.f64 N 3) (pow.f64 (*.f64 N N) 3)))
(expm1.f64 (log1p.f64 (pow.f64 N 3)))
(exp.f64 (log.f64 (pow.f64 N 3)))
(exp.f64 (*.f64 (log.f64 (pow.f64 N 3)) 1))
(exp.f64 (*.f64 (log.f64 N) 3))
(log1p.f64 (expm1.f64 (pow.f64 N 3)))
(+.f64 (*.f64 N N) (*.f64 N 1/2))
(+.f64 (fma.f64 N N (*.f64 N 1/2)) (fma.f64 -1/2 N (*.f64 N 1/2)))
(+.f64 (fma.f64 N N (*.f64 N 1/2)) (fma.f64 N 1/2 (*.f64 N 1/2)))
(+.f64 (fma.f64 N N (*.f64 N 1/2)) (fma.f64 (neg.f64 (sqrt.f64 (*.f64 N 1/2))) (sqrt.f64 (*.f64 N 1/2)) (*.f64 N 1/2)))
(+.f64 (fma.f64 1 (*.f64 N N) (neg.f64 (*.f64 (*.f64 N 1/2) 1))) (fma.f64 (*.f64 N 1/2) 1 (*.f64 (*.f64 N 1/2) 1)))
(+.f64 (fma.f64 1 (*.f64 N N) (neg.f64 (*.f64 (cbrt.f64 (*.f64 N 1/2)) (pow.f64 (cbrt.f64 (*.f64 N 1/2)) 2)))) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 N 1/2))) (pow.f64 (cbrt.f64 (*.f64 N 1/2)) 2) (*.f64 (cbrt.f64 (*.f64 N 1/2)) (pow.f64 (cbrt.f64 (*.f64 N 1/2)) 2))))
(+.f64 (fma.f64 (*.f64 N N) -1 (neg.f64 (*.f64 (*.f64 N 1/2) 1))) (fma.f64 (*.f64 N 1/2) 1 (*.f64 (*.f64 N 1/2) 1)))
(+.f64 (fma.f64 (*.f64 N N) -1 (neg.f64 (*.f64 (cbrt.f64 (*.f64 N 1/2)) (pow.f64 (cbrt.f64 (*.f64 N 1/2)) 2)))) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 N 1/2))) (pow.f64 (cbrt.f64 (*.f64 N 1/2)) 2) (*.f64 (cbrt.f64 (*.f64 N 1/2)) (pow.f64 (cbrt.f64 (*.f64 N 1/2)) 2))))
(+.f64 (fma.f64 -1 (*.f64 N N) (neg.f64 (*.f64 (*.f64 N 1/2) 1))) (fma.f64 (*.f64 N 1/2) 1 (*.f64 (*.f64 N 1/2) 1)))
(+.f64 (fma.f64 -1 (*.f64 N N) (neg.f64 (*.f64 (cbrt.f64 (*.f64 N 1/2)) (pow.f64 (cbrt.f64 (*.f64 N 1/2)) 2)))) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 N 1/2))) (pow.f64 (cbrt.f64 (*.f64 N 1/2)) 2) (*.f64 (cbrt.f64 (*.f64 N 1/2)) (pow.f64 (cbrt.f64 (*.f64 N 1/2)) 2))))
(+.f64 (fma.f64 (cbrt.f64 (pow.f64 N 4)) (pow.f64 (cbrt.f64 N) 2) (neg.f64 (*.f64 (*.f64 N 1/2) 1))) (fma.f64 (*.f64 N 1/2) 1 (*.f64 (*.f64 N 1/2) 1)))
(+.f64 (fma.f64 (cbrt.f64 (pow.f64 N 4)) (pow.f64 (cbrt.f64 N) 2) (neg.f64 (*.f64 (cbrt.f64 (*.f64 N 1/2)) (pow.f64 (cbrt.f64 (*.f64 N 1/2)) 2)))) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 N 1/2))) (pow.f64 (cbrt.f64 (*.f64 N 1/2)) 2) (*.f64 (cbrt.f64 (*.f64 N 1/2)) (pow.f64 (cbrt.f64 (*.f64 N 1/2)) 2))))
(+.f64 (fma.f64 N N (neg.f64 (*.f64 (*.f64 N 1/2) 1))) (fma.f64 (*.f64 N 1/2) 1 (*.f64 (*.f64 N 1/2) 1)))
(+.f64 (fma.f64 N N (neg.f64 (*.f64 (cbrt.f64 (*.f64 N 1/2)) (pow.f64 (cbrt.f64 (*.f64 N 1/2)) 2)))) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 N 1/2))) (pow.f64 (cbrt.f64 (*.f64 N 1/2)) 2) (*.f64 (cbrt.f64 (*.f64 N 1/2)) (pow.f64 (cbrt.f64 (*.f64 N 1/2)) 2))))
(*.f64 1 (fma.f64 N N (*.f64 N 1/2)))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 N N (*.f64 N 1/2))) 2) (cbrt.f64 (fma.f64 N N (*.f64 N 1/2))))
(*.f64 (sqrt.f64 (fma.f64 N N (*.f64 N 1/2))) (sqrt.f64 (fma.f64 N N (*.f64 N 1/2))))
(/.f64 (-.f64 (pow.f64 (*.f64 N N) 3) (*.f64 1/8 (pow.f64 N 3))) (+.f64 (pow.f64 N 4) (+.f64 (pow.f64 (*.f64 N 1/2) 2) (*.f64 (*.f64 N N) (*.f64 N 1/2)))))
(/.f64 (-.f64 (pow.f64 N 4) (pow.f64 (*.f64 N 1/2) 2)) (fma.f64 N N (*.f64 N 1/2)))
(pow.f64 (fma.f64 N N (*.f64 N 1/2)) 1)
(pow.f64 (cbrt.f64 (fma.f64 N N (*.f64 N 1/2))) 3)
(pow.f64 (pow.f64 (fma.f64 N N (*.f64 N 1/2)) 3) 1/3)
(pow.f64 (sqrt.f64 (fma.f64 N N (*.f64 N 1/2))) 2)
(sqrt.f64 (pow.f64 (fma.f64 N N (*.f64 N 1/2)) 2))
(log.f64 (exp.f64 (fma.f64 N N (*.f64 N 1/2))))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 N N (*.f64 N 1/2)))))
(cbrt.f64 (pow.f64 (fma.f64 N N (*.f64 N 1/2)) 3))
(expm1.f64 (log1p.f64 (fma.f64 N N (*.f64 N 1/2))))
(exp.f64 (log.f64 (fma.f64 N N (*.f64 N 1/2))))
(exp.f64 (*.f64 (log.f64 (fma.f64 N N (*.f64 N 1/2))) 1))
(log1p.f64 (expm1.f64 (fma.f64 N N (*.f64 N 1/2))))
(fma.f64 N N (*.f64 N 1/2))
(fma.f64 1 (*.f64 N N) (*.f64 N 1/2))
(fma.f64 1 (fma.f64 N N (*.f64 N 1/2)) (fma.f64 -1/2 N (*.f64 N 1/2)))
(fma.f64 (*.f64 N N) -1 (*.f64 N 1/2))
(fma.f64 -1 (*.f64 N N) (*.f64 N 1/2))
(fma.f64 (cbrt.f64 (pow.f64 N 4)) (pow.f64 (cbrt.f64 N) 2) (*.f64 N 1/2))
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 N N (*.f64 N 1/2))) 2) (cbrt.f64 (fma.f64 N N (*.f64 N 1/2))) (fma.f64 -1/2 N (*.f64 N 1/2)))
(fma.f64 (sqrt.f64 (fma.f64 N N (*.f64 N 1/2))) (sqrt.f64 (fma.f64 N N (*.f64 N 1/2))) (fma.f64 -1/2 N (*.f64 N 1/2)))
Outputs
(*.f64 -1 (log.f64 N))
(neg.f64 (log.f64 N))
(-.f64 (*.f64 -1 (*.f64 (pow.f64 1 1/3) (log.f64 (/.f64 1 N)))) (*.f64 -1 (log.f64 (/.f64 1 N))))
(+.f64 (neg.f64 (neg.f64 (log.f64 N))) (neg.f64 (log.f64 N)))
0
(-.f64 (+.f64 (*.f64 -1 (*.f64 (pow.f64 1 1/3) (log.f64 (/.f64 1 N)))) (+.f64 (*.f64 1/3 (*.f64 (/.f64 1 N) (*.f64 (pow.f64 (*.f64 (pow.f64 1 4) (pow.f64 (log.f64 (/.f64 1 N)) 4)) 1/9) (pow.f64 (pow.f64 (cbrt.f64 -1) 4) 1/3)))) (*.f64 2/3 (*.f64 (/.f64 1 N) (*.f64 (pow.f64 (*.f64 (pow.f64 1 4) (pow.f64 (log.f64 (/.f64 1 N)) 4)) 1/9) (pow.f64 (pow.f64 (cbrt.f64 -1) 4) 1/3)))))) (*.f64 -1 (log.f64 (/.f64 1 N))))
(+.f64 (fma.f64 -1 (neg.f64 (log.f64 N)) (*.f64 (*.f64 (/.f64 1 N) (*.f64 (*.f64 (pow.f64 (pow.f64 (neg.f64 (log.f64 N)) 4) 1/18) (pow.f64 (pow.f64 (neg.f64 (log.f64 N)) 4) 1/18)) (cbrt.f64 (pow.f64 (cbrt.f64 -1) 4)))) 1)) (neg.f64 (log.f64 N)))
(+.f64 (/.f64 (*.f64 (*.f64 (pow.f64 (pow.f64 (neg.f64 (log.f64 N)) 4) 1/18) (pow.f64 (pow.f64 (neg.f64 (log.f64 N)) 4) 1/18)) (cbrt.f64 (pow.f64 (cbrt.f64 -1) 4))) N) 0)
(-.f64 (+.f64 (*.f64 2/9 (*.f64 (/.f64 1 (pow.f64 N 2)) (*.f64 (pow.f64 (/.f64 (pow.f64 1 4) (log.f64 (/.f64 1 N))) 1/9) (pow.f64 (/.f64 1 (cbrt.f64 -1)) 1/3)))) (+.f64 (*.f64 -1 (*.f64 (pow.f64 1 1/3) (log.f64 (/.f64 1 N)))) (+.f64 (*.f64 1/3 (*.f64 (/.f64 1 N) (*.f64 (pow.f64 (*.f64 (pow.f64 1 4) (pow.f64 (log.f64 (/.f64 1 N)) 4)) 1/9) (pow.f64 (pow.f64 (cbrt.f64 -1) 4) 1/3)))) (+.f64 (*.f64 (/.f64 (*.f64 (+.f64 (*.f64 -2/3 (*.f64 (pow.f64 (/.f64 1 (log.f64 (/.f64 1 N))) 1/3) (/.f64 (+.f64 1/2 (*.f64 1/3 (*.f64 (pow.f64 (/.f64 (pow.f64 1 4) (log.f64 (/.f64 1 N))) 1/9) (pow.f64 (/.f64 1 (cbrt.f64 -1)) 1/3)))) (cbrt.f64 -1)))) (*.f64 1/9 (*.f64 (pow.f64 (/.f64 (pow.f64 1 4) (pow.f64 (log.f64 (/.f64 1 N)) 4)) 1/9) (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 4)) 1/3)))) (cbrt.f64 -1)) (pow.f64 N 2)) (pow.f64 (*.f64 1 (log.f64 (/.f64 1 N))) 1/3)) (+.f64 (*.f64 -1/3 (*.f64 (/.f64 (+.f64 1/2 (*.f64 1/3 (*.f64 (pow.f64 (/.f64 (pow.f64 1 4) (log.f64 (/.f64 1 N))) 1/9) (pow.f64 (/.f64 1 (cbrt.f64 -1)) 1/3)))) (pow.f64 N 2)) (pow.f64 1 1/3))) (*.f64 2/3 (*.f64 (/.f64 1 N) (*.f64 (pow.f64 (*.f64 (pow.f64 1 4) (pow.f64 (log.f64 (/.f64 1 N)) 4)) 1/9) (pow.f64 (pow.f64 (cbrt.f64 -1) 4) 1/3))))))))) (*.f64 -1 (log.f64 (/.f64 1 N))))
(+.f64 (fma.f64 2/9 (*.f64 (/.f64 1 (*.f64 N N)) (*.f64 (*.f64 (pow.f64 (/.f64 1 (neg.f64 (log.f64 N))) 1/18) (pow.f64 (/.f64 1 (neg.f64 (log.f64 N))) 1/18)) (cbrt.f64 (/.f64 1 (cbrt.f64 -1))))) (fma.f64 -1 (neg.f64 (log.f64 N)) (fma.f64 1/3 (*.f64 (/.f64 1 N) (*.f64 (*.f64 (pow.f64 (pow.f64 (neg.f64 (log.f64 N)) 4) 1/18) (pow.f64 (pow.f64 (neg.f64 (log.f64 N)) 4) 1/18)) (cbrt.f64 (pow.f64 (cbrt.f64 -1) 4)))) (fma.f64 (/.f64 (fma.f64 -2/3 (*.f64 (cbrt.f64 (/.f64 1 (neg.f64 (log.f64 N)))) (/.f64 (+.f64 1/2 (*.f64 1/3 (*.f64 (*.f64 (pow.f64 (/.f64 1 (neg.f64 (log.f64 N))) 1/18) (pow.f64 (/.f64 1 (neg.f64 (log.f64 N))) 1/18)) (cbrt.f64 (/.f64 1 (cbrt.f64 -1)))))) (cbrt.f64 -1))) (*.f64 1/9 (*.f64 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (neg.f64 (log.f64 N)) 4)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (neg.f64 (log.f64 N)) 4)) 1/18)) (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 4)))))) (/.f64 (*.f64 N N) (cbrt.f64 -1))) (cbrt.f64 (neg.f64 (log.f64 N))) (fma.f64 -1/3 (*.f64 1 (/.f64 (+.f64 1/2 (*.f64 1/3 (*.f64 (*.f64 (pow.f64 (/.f64 1 (neg.f64 (log.f64 N))) 1/18) (pow.f64 (/.f64 1 (neg.f64 (log.f64 N))) 1/18)) (cbrt.f64 (/.f64 1 (cbrt.f64 -1)))))) (*.f64 N N))) (*.f64 (*.f64 2/3 (/.f64 1 N)) (*.f64 (*.f64 (pow.f64 (pow.f64 (neg.f64 (log.f64 N)) 4) 1/18) (pow.f64 (pow.f64 (neg.f64 (log.f64 N)) 4) 1/18)) (cbrt.f64 (pow.f64 (cbrt.f64 -1) 4))))))))) (neg.f64 (log.f64 N)))
(fma.f64 2/9 (/.f64 (*.f64 (pow.f64 (/.f64 -1 (log.f64 N)) 1/18) (*.f64 (pow.f64 (/.f64 -1 (log.f64 N)) 1/18) (cbrt.f64 (/.f64 1 (cbrt.f64 -1))))) (*.f64 N N)) (+.f64 (+.f64 (fma.f64 (*.f64 (/.f64 (fma.f64 1/9 (*.f64 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (neg.f64 (log.f64 N)) 4)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (neg.f64 (log.f64 N)) 4)) 1/18)) (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 4)))) (*.f64 (/.f64 (fma.f64 1/3 (*.f64 (pow.f64 (/.f64 -1 (log.f64 N)) 1/18) (*.f64 (pow.f64 (/.f64 -1 (log.f64 N)) 1/18) (cbrt.f64 (/.f64 1 (cbrt.f64 -1))))) 1/2) (cbrt.f64 -1)) (*.f64 (cbrt.f64 (/.f64 -1 (log.f64 N))) -2/3))) N) (/.f64 (cbrt.f64 -1) N)) (cbrt.f64 (neg.f64 (log.f64 N))) (*.f64 -1/3 (/.f64 (fma.f64 1/3 (*.f64 (pow.f64 (/.f64 -1 (log.f64 N)) 1/18) (*.f64 (pow.f64 (/.f64 -1 (log.f64 N)) 1/18) (cbrt.f64 (/.f64 1 (cbrt.f64 -1))))) 1/2) (*.f64 N N)))) (/.f64 (*.f64 (*.f64 (pow.f64 (pow.f64 (neg.f64 (log.f64 N)) 4) 1/18) (pow.f64 (pow.f64 (neg.f64 (log.f64 N)) 4) 1/18)) (cbrt.f64 (pow.f64 (cbrt.f64 -1) 4))) N)) 0))
(-.f64 (+.f64 (*.f64 -1 (*.f64 (pow.f64 1 1/3) (log.f64 (/.f64 1 N)))) (+.f64 (*.f64 2/9 (*.f64 (/.f64 1 (pow.f64 N 2)) (*.f64 (pow.f64 (/.f64 (pow.f64 1 4) (log.f64 (/.f64 1 N))) 1/9) (pow.f64 (/.f64 1 (cbrt.f64 -1)) 1/3)))) (+.f64 (*.f64 (/.f64 (*.f64 (+.f64 (*.f64 -2/3 (*.f64 (pow.f64 (/.f64 1 (log.f64 (/.f64 1 N))) 1/3) (/.f64 (+.f64 1/2 (*.f64 1/3 (*.f64 (pow.f64 (/.f64 (pow.f64 1 4) (log.f64 (/.f64 1 N))) 1/9) (pow.f64 (/.f64 1 (cbrt.f64 -1)) 1/3)))) (cbrt.f64 -1)))) (*.f64 1/9 (*.f64 (pow.f64 (/.f64 (pow.f64 1 4) (pow.f64 (log.f64 (/.f64 1 N)) 4)) 1/9) (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 4)) 1/3)))) (cbrt.f64 -1)) (pow.f64 N 2)) (pow.f64 (*.f64 1 (log.f64 (/.f64 1 N))) 1/3)) (+.f64 (*.f64 2/3 (*.f64 (/.f64 1 N) (*.f64 (pow.f64 (*.f64 (pow.f64 1 4) (pow.f64 (log.f64 (/.f64 1 N)) 4)) 1/9) (pow.f64 (pow.f64 (cbrt.f64 -1) 4) 1/3)))) (+.f64 (*.f64 -2/9 (*.f64 (/.f64 (+.f64 1/2 (*.f64 1/3 (*.f64 (pow.f64 (/.f64 (pow.f64 1 4) (log.f64 (/.f64 1 N))) 1/9) (pow.f64 (/.f64 1 (cbrt.f64 -1)) 1/3)))) (pow.f64 N 3)) (*.f64 (pow.f64 (/.f64 (pow.f64 1 4) (pow.f64 (log.f64 (/.f64 1 N)) 5)) 1/9) (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 5)) 1/3)))) (+.f64 (*.f64 1/3 (*.f64 (/.f64 (-.f64 1/3 (+.f64 (*.f64 -2/3 (*.f64 (pow.f64 (/.f64 (pow.f64 1 4) (pow.f64 (log.f64 (/.f64 1 N)) 5)) 1/9) (*.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 5)) 1/3) (+.f64 1/2 (*.f64 1/3 (*.f64 (pow.f64 (/.f64 (pow.f64 1 4) (log.f64 (/.f64 1 N))) 1/9) (pow.f64 (/.f64 1 (cbrt.f64 -1)) 1/3))))))) (*.f64 1/27 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 (/.f64 1 N)) 2)) 1/3) (/.f64 1 (pow.f64 (cbrt.f64 -1) 2)))))) (pow.f64 N 3)) (pow.f64 1 1/3))) (+.f64 (*.f64 1/3 (*.f64 (/.f64 (+.f64 (*.f64 -2/3 (*.f64 (pow.f64 (/.f64 1 (log.f64 (/.f64 1 N))) 1/3) (/.f64 (+.f64 1/2 (*.f64 1/3 (*.f64 (pow.f64 (/.f64 (pow.f64 1 4) (log.f64 (/.f64 1 N))) 1/9) (pow.f64 (/.f64 1 (cbrt.f64 -1)) 1/3)))) (cbrt.f64 -1)))) (*.f64 1/9 (*.f64 (pow.f64 (/.f64 (pow.f64 1 4) (pow.f64 (log.f64 (/.f64 1 N)) 4)) 1/9) (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 4)) 1/3)))) (pow.f64 N 3)) (*.f64 (pow.f64 (/.f64 (pow.f64 1 4) (pow.f64 (log.f64 (/.f64 1 N)) 2)) 1/9) (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 2)) 1/3)))) (+.f64 (*.f64 1/3 (*.f64 (/.f64 1 N) (*.f64 (pow.f64 (*.f64 (pow.f64 1 4) (pow.f64 (log.f64 (/.f64 1 N)) 4)) 1/9) (pow.f64 (pow.f64 (cbrt.f64 -1) 4) 1/3)))) (+.f64 (*.f64 -1/3 (*.f64 (/.f64 (+.f64 1/2 (*.f64 1/3 (*.f64 (pow.f64 (/.f64 (pow.f64 1 4) (log.f64 (/.f64 1 N))) 1/9) (pow.f64 (/.f64 1 (cbrt.f64 -1)) 1/3)))) (pow.f64 N 2)) (pow.f64 1 1/3))) (*.f64 (/.f64 (*.f64 (cbrt.f64 -1) (+.f64 (*.f64 -2/9 (*.f64 (pow.f64 (/.f64 (pow.f64 1 4) (pow.f64 (log.f64 (/.f64 1 N)) 8)) 1/9) (*.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 8)) 1/3) (+.f64 1/2 (*.f64 1/3 (*.f64 (pow.f64 (/.f64 (pow.f64 1 4) (log.f64 (/.f64 1 N))) 1/9) (pow.f64 (/.f64 1 (cbrt.f64 -1)) 1/3))))))) (*.f64 2/3 (*.f64 (pow.f64 (/.f64 1 (log.f64 (/.f64 1 N))) 1/3) (/.f64 (-.f64 1/3 (+.f64 (*.f64 -2/3 (*.f64 (pow.f64 (/.f64 (pow.f64 1 4) (pow.f64 (log.f64 (/.f64 1 N)) 5)) 1/9) (*.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 5)) 1/3) (+.f64 1/2 (*.f64 1/3 (*.f64 (pow.f64 (/.f64 (pow.f64 1 4) (log.f64 (/.f64 1 N))) 1/9) (pow.f64 (/.f64 1 (cbrt.f64 -1)) 1/3))))))) (*.f64 1/27 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 (/.f64 1 N)) 2)) 1/3) (/.f64 1 (pow.f64 (cbrt.f64 -1) 2)))))) (cbrt.f64 -1)))))) (pow.f64 N 3)) (pow.f64 (*.f64 1 (log.f64 (/.f64 1 N))) 1/3))))))))))) (*.f64 -1 (log.f64 (/.f64 1 N))))
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(pow.f64 (/.f64 (sqrt.f64 (+.f64 N -1/2)) N) 2)
(pow.f64 (/.f64 (/.f64 (*.f64 N N) (+.f64 N -1/2)) 1) -1)
(/.f64 1 (/.f64 N (/.f64 (+.f64 N -1/2) N)))
(/.f64 1 (/.f64 (*.f64 N N) (+.f64 N -1/2)))
(sqrt.f64 (/.f64 (pow.f64 (+.f64 N -1/2) 2) (pow.f64 N 4)))
(log.f64 (pow.f64 (exp.f64 (+.f64 N -1/2)) (pow.f64 N -2)))
(*.f64 (+.f64 N -1/2) (pow.f64 N -2))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (+.f64 N -1/2) (pow.f64 N -2)))))
(*.f64 (+.f64 N -1/2) (pow.f64 N -2))
(cbrt.f64 (pow.f64 (*.f64 (+.f64 N -1/2) (pow.f64 N -2)) 3))
(*.f64 (+.f64 N -1/2) (pow.f64 N -2))
(cbrt.f64 (/.f64 (pow.f64 (+.f64 N -1/2) 3) (pow.f64 (*.f64 N N) 3)))
(cbrt.f64 (/.f64 (pow.f64 (+.f64 N -1/2) 3) (pow.f64 N 6)))
(expm1.f64 (log1p.f64 (*.f64 (+.f64 N -1/2) (pow.f64 N -2))))
(*.f64 (+.f64 N -1/2) (pow.f64 N -2))
(exp.f64 (log.f64 (*.f64 (+.f64 N -1/2) (pow.f64 N -2))))
(*.f64 (+.f64 N -1/2) (pow.f64 N -2))
(exp.f64 (*.f64 (log.f64 (/.f64 (*.f64 N N) (+.f64 N -1/2))) -1))
(/.f64 1 (/.f64 N (/.f64 (+.f64 N -1/2) N)))
(/.f64 1 (/.f64 (*.f64 N N) (+.f64 N -1/2)))
(exp.f64 (*.f64 (log.f64 (*.f64 (+.f64 N -1/2) (pow.f64 N -2))) 1))
(*.f64 (+.f64 N -1/2) (pow.f64 N -2))
(log1p.f64 (expm1.f64 (*.f64 (+.f64 N -1/2) (pow.f64 N -2))))
(*.f64 (+.f64 N -1/2) (pow.f64 N -2))
(-.f64 (/.f64 (*.f64 N N) (pow.f64 N 3)) (/.f64 (*.f64 N 1/2) (pow.f64 N 3)))
(-.f64 (/.f64 N (/.f64 (pow.f64 N 3) N)) (/.f64 N (/.f64 (pow.f64 N 3) 1/2)))
(+.f64 (/.f64 N (/.f64 (pow.f64 N 3) N)) (/.f64 (*.f64 N -1/2) (pow.f64 N 3)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (fma.f64 N N (*.f64 N 1/2)) (pow.f64 N 3)))) 1)
(/.f64 (*.f64 N (+.f64 N 1/2)) (pow.f64 N 3))
(*.f64 1 (/.f64 (fma.f64 N N (*.f64 N 1/2)) (pow.f64 N 3)))
(/.f64 (*.f64 N (+.f64 N 1/2)) (pow.f64 N 3))
(*.f64 (fma.f64 N N (*.f64 N 1/2)) (/.f64 1 (pow.f64 N 3)))
(/.f64 (*.f64 N (+.f64 N 1/2)) (pow.f64 N 3))
(*.f64 (pow.f64 (/.f64 (cbrt.f64 (fma.f64 N N (*.f64 N 1/2))) N) 2) (/.f64 (cbrt.f64 (fma.f64 N N (*.f64 N 1/2))) N))
(/.f64 (*.f64 N (+.f64 N 1/2)) (pow.f64 N 3))
(*.f64 (/.f64 (sqrt.f64 (/.f64 (fma.f64 N N (*.f64 N 1/2)) N)) N) (/.f64 (sqrt.f64 (/.f64 (fma.f64 N N (*.f64 N 1/2)) N)) N))
(pow.f64 (/.f64 (sqrt.f64 (/.f64 (*.f64 N (+.f64 N 1/2)) N)) N) 2)
(pow.f64 (/.f64 (fma.f64 N N (*.f64 N 1/2)) (pow.f64 N 3)) 1)
(/.f64 (*.f64 N (+.f64 N 1/2)) (pow.f64 N 3))
(pow.f64 (/.f64 (cbrt.f64 (fma.f64 N N (*.f64 N 1/2))) N) 3)
(/.f64 (*.f64 N (+.f64 N 1/2)) (pow.f64 N 3))
(pow.f64 (pow.f64 (/.f64 (fma.f64 N N (*.f64 N 1/2)) (pow.f64 N 3)) 3) 1/3)
(/.f64 (*.f64 N (+.f64 N 1/2)) (pow.f64 N 3))
(pow.f64 (/.f64 (sqrt.f64 (/.f64 (fma.f64 N N (*.f64 N 1/2)) N)) N) 2)
(pow.f64 (/.f64 (sqrt.f64 (/.f64 (*.f64 N (+.f64 N 1/2)) N)) N) 2)
(pow.f64 (/.f64 (pow.f64 N 3) (fma.f64 N N (*.f64 N 1/2))) -1)
(/.f64 1 (/.f64 (pow.f64 N 3) (*.f64 N (+.f64 N 1/2))))
(sqrt.f64 (pow.f64 (/.f64 (fma.f64 N N (*.f64 N 1/2)) (pow.f64 N 3)) 2))
(sqrt.f64 (pow.f64 (/.f64 (*.f64 N (+.f64 N 1/2)) (pow.f64 N 3)) 2))
(fabs.f64 (/.f64 (*.f64 N (+.f64 N 1/2)) (pow.f64 N 3)))
(log.f64 (exp.f64 (/.f64 (fma.f64 N N (*.f64 N 1/2)) (pow.f64 N 3))))
(/.f64 (*.f64 N (+.f64 N 1/2)) (pow.f64 N 3))
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(/.f64 (*.f64 N (+.f64 N 1/2)) (pow.f64 N 3))
(cbrt.f64 (pow.f64 (/.f64 (fma.f64 N N (*.f64 N 1/2)) (pow.f64 N 3)) 3))
(/.f64 (*.f64 N (+.f64 N 1/2)) (pow.f64 N 3))
(cbrt.f64 (/.f64 (pow.f64 (fma.f64 N N (*.f64 N 1/2)) 3) (pow.f64 (pow.f64 N 3) 3)))
(/.f64 (*.f64 N (+.f64 N 1/2)) (pow.f64 N 3))
(expm1.f64 (log1p.f64 (/.f64 (fma.f64 N N (*.f64 N 1/2)) (pow.f64 N 3))))
(/.f64 (*.f64 N (+.f64 N 1/2)) (pow.f64 N 3))
(exp.f64 (log.f64 (/.f64 (fma.f64 N N (*.f64 N 1/2)) (pow.f64 N 3))))
(/.f64 (*.f64 N (+.f64 N 1/2)) (pow.f64 N 3))
(exp.f64 (*.f64 (log.f64 (/.f64 (fma.f64 N N (*.f64 N 1/2)) (pow.f64 N 3))) 1))
(/.f64 (*.f64 N (+.f64 N 1/2)) (pow.f64 N 3))
(log1p.f64 (expm1.f64 (/.f64 (fma.f64 N N (*.f64 N 1/2)) (pow.f64 N 3))))
(/.f64 (*.f64 N (+.f64 N 1/2)) (pow.f64 N 3))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 N 3))) 1)
(pow.f64 N 3)
(pow.f64 N 3)
(pow.f64 (pow.f64 (pow.f64 N 3) 3) 1/3)
(pow.f64 N 3)
(pow.f64 (*.f64 N (sqrt.f64 N)) 2)
(pow.f64 (pow.f64 N 3) 1)
(pow.f64 N 3)
(neg.f64 (pow.f64 N 3))
(sqrt.f64 (pow.f64 (*.f64 N N) 3))
(sqrt.f64 (pow.f64 N 6))
(log.f64 (exp.f64 (pow.f64 N 3)))
(pow.f64 N 3)
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 N 3))))
(pow.f64 N 3)
(cbrt.f64 (pow.f64 (pow.f64 N 3) 3))
(pow.f64 N 3)
(cbrt.f64 (*.f64 (pow.f64 N 3) (pow.f64 (*.f64 N N) 3)))
(pow.f64 N 3)
(expm1.f64 (log1p.f64 (pow.f64 N 3)))
(pow.f64 N 3)
(exp.f64 (log.f64 (pow.f64 N 3)))
(pow.f64 N 3)
(exp.f64 (*.f64 (log.f64 (pow.f64 N 3)) 1))
(pow.f64 N 3)
(exp.f64 (*.f64 (log.f64 N) 3))
(pow.f64 N 3)
(log1p.f64 (expm1.f64 (pow.f64 N 3)))
(pow.f64 N 3)
(+.f64 (*.f64 N N) (*.f64 N 1/2))
(*.f64 N (+.f64 N 1/2))
(+.f64 (fma.f64 N N (*.f64 N 1/2)) (fma.f64 -1/2 N (*.f64 N 1/2)))
(+.f64 (*.f64 N (+.f64 N 1/2)) (fma.f64 -1/2 N (*.f64 N 1/2)))
(fma.f64 N (+.f64 N 1/2) (*.f64 N 0))
(+.f64 (fma.f64 N N (*.f64 N 1/2)) (fma.f64 N 1/2 (*.f64 N 1/2)))
(+.f64 (*.f64 N (+.f64 N 1/2)) (fma.f64 N 1/2 (*.f64 N 1/2)))
(fma.f64 N (+.f64 N 1/2) (*.f64 N 1))
(+.f64 (fma.f64 N N (*.f64 N 1/2)) (fma.f64 (neg.f64 (sqrt.f64 (*.f64 N 1/2))) (sqrt.f64 (*.f64 N 1/2)) (*.f64 N 1/2)))
(+.f64 (*.f64 N (+.f64 N 1/2)) (fma.f64 (neg.f64 (sqrt.f64 (*.f64 N 1/2))) (sqrt.f64 (*.f64 N 1/2)) (*.f64 N 1/2)))
(fma.f64 N (+.f64 N 1/2) (fma.f64 (neg.f64 (sqrt.f64 (*.f64 N 1/2))) (sqrt.f64 (*.f64 N 1/2)) (*.f64 N 1/2)))
(+.f64 (fma.f64 1 (*.f64 N N) (neg.f64 (*.f64 (*.f64 N 1/2) 1))) (fma.f64 (*.f64 N 1/2) 1 (*.f64 (*.f64 N 1/2) 1)))
(+.f64 (fma.f64 1 (*.f64 N N) (neg.f64 (*.f64 N 1/2))) (fma.f64 N 1/2 (*.f64 N 1/2)))
(+.f64 (*.f64 N (+.f64 N 1)) (*.f64 N -1/2))
(+.f64 (fma.f64 1 (*.f64 N N) (neg.f64 (*.f64 (cbrt.f64 (*.f64 N 1/2)) (pow.f64 (cbrt.f64 (*.f64 N 1/2)) 2)))) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 N 1/2))) (pow.f64 (cbrt.f64 (*.f64 N 1/2)) 2) (*.f64 (cbrt.f64 (*.f64 N 1/2)) (pow.f64 (cbrt.f64 (*.f64 N 1/2)) 2))))
(+.f64 (fma.f64 1 (*.f64 N N) (*.f64 (cbrt.f64 (*.f64 N 1/2)) (neg.f64 (pow.f64 (cbrt.f64 (*.f64 N 1/2)) 2)))) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 N 1/2))) (pow.f64 (cbrt.f64 (*.f64 N 1/2)) 2) (*.f64 (cbrt.f64 (*.f64 N 1/2)) (pow.f64 (cbrt.f64 (*.f64 N 1/2)) 2))))
(+.f64 (*.f64 N 0) (fma.f64 N N (*.f64 N -1/2)))
(+.f64 (fma.f64 (*.f64 N N) -1 (neg.f64 (*.f64 (*.f64 N 1/2) 1))) (fma.f64 (*.f64 N 1/2) 1 (*.f64 (*.f64 N 1/2) 1)))
(+.f64 (fma.f64 N 1/2 (*.f64 N 1/2)) (fma.f64 -1 (*.f64 N N) (neg.f64 (*.f64 N 1/2))))
(+.f64 (*.f64 N 1) (neg.f64 (*.f64 N (+.f64 N 1/2))))
(+.f64 (fma.f64 (*.f64 N N) -1 (neg.f64 (*.f64 (cbrt.f64 (*.f64 N 1/2)) (pow.f64 (cbrt.f64 (*.f64 N 1/2)) 2)))) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 N 1/2))) (pow.f64 (cbrt.f64 (*.f64 N 1/2)) 2) (*.f64 (cbrt.f64 (*.f64 N 1/2)) (pow.f64 (cbrt.f64 (*.f64 N 1/2)) 2))))
(+.f64 (fma.f64 (neg.f64 (cbrt.f64 (*.f64 N 1/2))) (pow.f64 (cbrt.f64 (*.f64 N 1/2)) 2) (*.f64 (cbrt.f64 (*.f64 N 1/2)) (pow.f64 (cbrt.f64 (*.f64 N 1/2)) 2))) (fma.f64 -1 (*.f64 N N) (*.f64 (cbrt.f64 (*.f64 N 1/2)) (neg.f64 (pow.f64 (cbrt.f64 (*.f64 N 1/2)) 2)))))
(+.f64 (*.f64 N 0) (neg.f64 (*.f64 N (+.f64 N 1/2))))
(+.f64 (fma.f64 -1 (*.f64 N N) (neg.f64 (*.f64 (*.f64 N 1/2) 1))) (fma.f64 (*.f64 N 1/2) 1 (*.f64 (*.f64 N 1/2) 1)))
(+.f64 (fma.f64 N 1/2 (*.f64 N 1/2)) (fma.f64 -1 (*.f64 N N) (neg.f64 (*.f64 N 1/2))))
(+.f64 (*.f64 N 1) (neg.f64 (*.f64 N (+.f64 N 1/2))))
(+.f64 (fma.f64 -1 (*.f64 N N) (neg.f64 (*.f64 (cbrt.f64 (*.f64 N 1/2)) (pow.f64 (cbrt.f64 (*.f64 N 1/2)) 2)))) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 N 1/2))) (pow.f64 (cbrt.f64 (*.f64 N 1/2)) 2) (*.f64 (cbrt.f64 (*.f64 N 1/2)) (pow.f64 (cbrt.f64 (*.f64 N 1/2)) 2))))
(+.f64 (fma.f64 (neg.f64 (cbrt.f64 (*.f64 N 1/2))) (pow.f64 (cbrt.f64 (*.f64 N 1/2)) 2) (*.f64 (cbrt.f64 (*.f64 N 1/2)) (pow.f64 (cbrt.f64 (*.f64 N 1/2)) 2))) (fma.f64 -1 (*.f64 N N) (*.f64 (cbrt.f64 (*.f64 N 1/2)) (neg.f64 (pow.f64 (cbrt.f64 (*.f64 N 1/2)) 2)))))
(+.f64 (*.f64 N 0) (neg.f64 (*.f64 N (+.f64 N 1/2))))
(+.f64 (fma.f64 (cbrt.f64 (pow.f64 N 4)) (pow.f64 (cbrt.f64 N) 2) (neg.f64 (*.f64 (*.f64 N 1/2) 1))) (fma.f64 (*.f64 N 1/2) 1 (*.f64 (*.f64 N 1/2) 1)))
(+.f64 (fma.f64 N 1/2 (*.f64 N 1/2)) (fma.f64 (cbrt.f64 (pow.f64 N 4)) (pow.f64 (cbrt.f64 N) 2) (neg.f64 (*.f64 N 1/2))))
(+.f64 (*.f64 N 1) (fma.f64 (cbrt.f64 (pow.f64 N 4)) (pow.f64 (cbrt.f64 N) 2) (*.f64 N -1/2)))
(+.f64 (fma.f64 (cbrt.f64 (pow.f64 N 4)) (pow.f64 (cbrt.f64 N) 2) (neg.f64 (*.f64 (cbrt.f64 (*.f64 N 1/2)) (pow.f64 (cbrt.f64 (*.f64 N 1/2)) 2)))) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 N 1/2))) (pow.f64 (cbrt.f64 (*.f64 N 1/2)) 2) (*.f64 (cbrt.f64 (*.f64 N 1/2)) (pow.f64 (cbrt.f64 (*.f64 N 1/2)) 2))))
(+.f64 (fma.f64 (neg.f64 (cbrt.f64 (*.f64 N 1/2))) (pow.f64 (cbrt.f64 (*.f64 N 1/2)) 2) (*.f64 (cbrt.f64 (*.f64 N 1/2)) (pow.f64 (cbrt.f64 (*.f64 N 1/2)) 2))) (fma.f64 (cbrt.f64 (pow.f64 N 4)) (pow.f64 (cbrt.f64 N) 2) (*.f64 (cbrt.f64 (*.f64 N 1/2)) (neg.f64 (pow.f64 (cbrt.f64 (*.f64 N 1/2)) 2)))))
(+.f64 (*.f64 N 0) (fma.f64 (cbrt.f64 (pow.f64 N 4)) (pow.f64 (cbrt.f64 N) 2) (*.f64 N -1/2)))
(+.f64 (fma.f64 N N (neg.f64 (*.f64 (*.f64 N 1/2) 1))) (fma.f64 (*.f64 N 1/2) 1 (*.f64 (*.f64 N 1/2) 1)))
(+.f64 (fma.f64 1 (*.f64 N N) (neg.f64 (*.f64 N 1/2))) (fma.f64 N 1/2 (*.f64 N 1/2)))
(+.f64 (*.f64 N (+.f64 N 1)) (*.f64 N -1/2))
(+.f64 (fma.f64 N N (neg.f64 (*.f64 (cbrt.f64 (*.f64 N 1/2)) (pow.f64 (cbrt.f64 (*.f64 N 1/2)) 2)))) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 N 1/2))) (pow.f64 (cbrt.f64 (*.f64 N 1/2)) 2) (*.f64 (cbrt.f64 (*.f64 N 1/2)) (pow.f64 (cbrt.f64 (*.f64 N 1/2)) 2))))
(+.f64 (fma.f64 1 (*.f64 N N) (*.f64 (cbrt.f64 (*.f64 N 1/2)) (neg.f64 (pow.f64 (cbrt.f64 (*.f64 N 1/2)) 2)))) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 N 1/2))) (pow.f64 (cbrt.f64 (*.f64 N 1/2)) 2) (*.f64 (cbrt.f64 (*.f64 N 1/2)) (pow.f64 (cbrt.f64 (*.f64 N 1/2)) 2))))
(+.f64 (*.f64 N 0) (fma.f64 N N (*.f64 N -1/2)))
(*.f64 1 (fma.f64 N N (*.f64 N 1/2)))
(*.f64 N (+.f64 N 1/2))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 N N (*.f64 N 1/2))) 2) (cbrt.f64 (fma.f64 N N (*.f64 N 1/2))))
(*.f64 N (+.f64 N 1/2))
(*.f64 (sqrt.f64 (fma.f64 N N (*.f64 N 1/2))) (sqrt.f64 (fma.f64 N N (*.f64 N 1/2))))
(*.f64 N (+.f64 N 1/2))
(/.f64 (-.f64 (pow.f64 (*.f64 N N) 3) (*.f64 1/8 (pow.f64 N 3))) (+.f64 (pow.f64 N 4) (+.f64 (pow.f64 (*.f64 N 1/2) 2) (*.f64 (*.f64 N N) (*.f64 N 1/2)))))
(/.f64 (+.f64 (pow.f64 (*.f64 N N) 3) (*.f64 (pow.f64 N 3) -1/8)) (+.f64 (pow.f64 N 4) (+.f64 (pow.f64 (*.f64 N 1/2) 2) (*.f64 (pow.f64 N 3) 1/2))))
(/.f64 (*.f64 (pow.f64 N 3) (-.f64 (pow.f64 N 3) 1/8)) (+.f64 (pow.f64 N 4) (*.f64 (*.f64 N 1/2) (*.f64 N (+.f64 N 1/2)))))
(/.f64 (-.f64 (pow.f64 N 4) (pow.f64 (*.f64 N 1/2) 2)) (fma.f64 N N (*.f64 N 1/2)))
(/.f64 (-.f64 (pow.f64 N 4) (pow.f64 (*.f64 N 1/2) 2)) (*.f64 N (+.f64 N 1/2)))
(/.f64 (-.f64 (pow.f64 N 4) (*.f64 1/4 (*.f64 N N))) (*.f64 N (+.f64 N 1/2)))
(pow.f64 (fma.f64 N N (*.f64 N 1/2)) 1)
(*.f64 N (+.f64 N 1/2))
(pow.f64 (cbrt.f64 (fma.f64 N N (*.f64 N 1/2))) 3)
(*.f64 N (+.f64 N 1/2))
(pow.f64 (pow.f64 (fma.f64 N N (*.f64 N 1/2)) 3) 1/3)
(*.f64 N (+.f64 N 1/2))
(pow.f64 (sqrt.f64 (fma.f64 N N (*.f64 N 1/2))) 2)
(*.f64 N (+.f64 N 1/2))
(sqrt.f64 (pow.f64 (fma.f64 N N (*.f64 N 1/2)) 2))
(sqrt.f64 (pow.f64 (*.f64 N (+.f64 N 1/2)) 2))
(fabs.f64 (*.f64 N (+.f64 N 1/2)))
(log.f64 (exp.f64 (fma.f64 N N (*.f64 N 1/2))))
(*.f64 N (+.f64 N 1/2))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 N N (*.f64 N 1/2)))))
(*.f64 N (+.f64 N 1/2))
(cbrt.f64 (pow.f64 (fma.f64 N N (*.f64 N 1/2)) 3))
(*.f64 N (+.f64 N 1/2))
(expm1.f64 (log1p.f64 (fma.f64 N N (*.f64 N 1/2))))
(*.f64 N (+.f64 N 1/2))
(exp.f64 (log.f64 (fma.f64 N N (*.f64 N 1/2))))
(*.f64 N (+.f64 N 1/2))
(exp.f64 (*.f64 (log.f64 (fma.f64 N N (*.f64 N 1/2))) 1))
(*.f64 N (+.f64 N 1/2))
(log1p.f64 (expm1.f64 (fma.f64 N N (*.f64 N 1/2))))
(*.f64 N (+.f64 N 1/2))
(fma.f64 N N (*.f64 N 1/2))
(*.f64 N (+.f64 N 1/2))
(fma.f64 1 (*.f64 N N) (*.f64 N 1/2))
(*.f64 N (+.f64 N 1/2))
(fma.f64 1 (fma.f64 N N (*.f64 N 1/2)) (fma.f64 -1/2 N (*.f64 N 1/2)))
(+.f64 (*.f64 N (+.f64 N 1/2)) (fma.f64 -1/2 N (*.f64 N 1/2)))
(fma.f64 N (+.f64 N 1/2) (*.f64 N 0))
(fma.f64 (*.f64 N N) -1 (*.f64 N 1/2))
(fma.f64 -1 (*.f64 N N) (*.f64 N 1/2))
(-.f64 (*.f64 N 1/2) (*.f64 N N))
(fma.f64 -1 (*.f64 N N) (*.f64 N 1/2))
(-.f64 (*.f64 N 1/2) (*.f64 N N))
(fma.f64 (cbrt.f64 (pow.f64 N 4)) (pow.f64 (cbrt.f64 N) 2) (*.f64 N 1/2))
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 N N (*.f64 N 1/2))) 2) (cbrt.f64 (fma.f64 N N (*.f64 N 1/2))) (fma.f64 -1/2 N (*.f64 N 1/2)))
(+.f64 (*.f64 N (+.f64 N 1/2)) (fma.f64 -1/2 N (*.f64 N 1/2)))
(fma.f64 N (+.f64 N 1/2) (*.f64 N 0))
(fma.f64 (sqrt.f64 (fma.f64 N N (*.f64 N 1/2))) (sqrt.f64 (fma.f64 N N (*.f64 N 1/2))) (fma.f64 -1/2 N (*.f64 N 1/2)))
(+.f64 (*.f64 N (+.f64 N 1/2)) (fma.f64 -1/2 N (*.f64 N 1/2)))
(fma.f64 N (+.f64 N 1/2) (*.f64 N 0))

eval482.0ms (8.2%)

Compiler

Compiled 16403 to 12275 computations (25.2% saved)

prune90.0ms (1.5%)

Pruning

9 alts after pruning (4 fresh and 5 done)

PrunedKeptTotal
New4322434
Fresh022
Picked415
Done044
Total4369445
Accuracy
100.0%
Counts
445 → 9
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓54.5%
(fma.f64 (pow.f64 (cbrt.f64 (log1p.f64 N)) 2) (cbrt.f64 (log1p.f64 N)) (neg.f64 (log.f64 N)))
▶56.0%
(/.f64 1 (+.f64 N 1/2))
✓50.8%
(/.f64 1 N)
✓52.0%
(-.f64 N (log.f64 N))
▶29.2%
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 (+.f64 N -1/2) (*.f64 N N)))
✓50.6%
(neg.f64 (log.f64 N))
✓55.3%
(log.f64 (/.f64 (+.f64 N 1) N))
4.8%
N
4.2%
0
✓54.5%
(fma.f64 (pow.f64 (cbrt.f64 (log1p.f64 N)) 2) (cbrt.f64 (log1p.f64 N)) (neg.f64 (log.f64 N)))
▶56.0%
(/.f64 1 (+.f64 N 1/2))
✓50.8%
(/.f64 1 N)
✓52.0%
(-.f64 N (log.f64 N))
▶29.2%
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 (+.f64 N -1/2) (*.f64 N N)))
✓50.6%
(neg.f64 (log.f64 N))
✓55.3%
(log.f64 (/.f64 (+.f64 N 1) N))
4.8%
N
4.2%
0
Compiler

Compiled 114 to 80 computations (29.8% saved)

localize66.0ms (1.1%)

Localize:

Found 4 expressions with local error:

NewAccuracyProgram
✓100.0%
(/.f64 1 (+.f64 N 1/2))
✓99.6%
(/.f64 1/3 (pow.f64 N 3))
✓81.3%
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 (+.f64 N -1/2) (*.f64 N N)))
79.1%
(/.f64 (+.f64 N -1/2) (*.f64 N N))
Compiler

Compiled 51 to 33 computations (35.3% saved)

series5.0ms (0.1%)

Counts
3 → 24
Calls

9 calls:

TimeVariablePointExpression
4.0ms
N
@0
(/.f64 1/3 (pow.f64 N 3))
0.0ms
N
@0
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 (+.f64 N -1/2) (*.f64 N N)))
0.0ms
N
@inf
(/.f64 1 (+.f64 N 1/2))
0.0ms
N
@-inf
(/.f64 1/3 (pow.f64 N 3))
0.0ms
N
@inf
(/.f64 1/3 (pow.f64 N 3))

rewrite132.0ms (2.2%)

Algorithm
1×batch-egg-rewrite
Rules
1524×log-prod
1186×fma-def
614×expm1-udef
608×log1p-udef
578×fma-neg
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01663
137559
2517859
Stop Event
1×node limit
Counts
3 → 141
Calls
Call 1
Inputs
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 (+.f64 N -1/2) (*.f64 N N)))
(/.f64 1/3 (pow.f64 N 3))
(/.f64 1 (+.f64 N 1/2))
Outputs
(-.f64 (exp.f64 (log1p.f64 (fma.f64 1/3 (pow.f64 N -3) (*.f64 (+.f64 N -1/2) (pow.f64 N -2))))) 1)
(-.f64 (/.f64 (/.f64 1/9 (pow.f64 N 6)) (-.f64 (*.f64 1/3 (pow.f64 N -3)) (*.f64 (+.f64 N -1/2) (pow.f64 N -2)))) (/.f64 (/.f64 (pow.f64 (+.f64 N -1/2) 2) (pow.f64 N 4)) (-.f64 (*.f64 1/3 (pow.f64 N -3)) (*.f64 (+.f64 N -1/2) (pow.f64 N -2)))))
(*.f64 (fma.f64 1/3 (pow.f64 N -3) (*.f64 (+.f64 N -1/2) (pow.f64 N -2))) 1)
(*.f64 1 (fma.f64 1/3 (pow.f64 N -3) (*.f64 (+.f64 N -1/2) (pow.f64 N -2))))
(*.f64 (cbrt.f64 (fma.f64 1/3 (pow.f64 N -3) (*.f64 (+.f64 N -1/2) (pow.f64 N -2)))) (cbrt.f64 (pow.f64 (fma.f64 1/3 (pow.f64 N -3) (*.f64 (+.f64 N -1/2) (pow.f64 N -2))) 2)))
(*.f64 (cbrt.f64 (pow.f64 (fma.f64 1/3 (pow.f64 N -3) (*.f64 (+.f64 N -1/2) (pow.f64 N -2))) 2)) (cbrt.f64 (fma.f64 1/3 (pow.f64 N -3) (*.f64 (+.f64 N -1/2) (pow.f64 N -2)))))
(*.f64 (sqrt.f64 (fma.f64 1/3 (pow.f64 N -3) (*.f64 (+.f64 N -1/2) (pow.f64 N -2)))) (sqrt.f64 (fma.f64 1/3 (pow.f64 N -3) (*.f64 (+.f64 N -1/2) (pow.f64 N -2)))))
(*.f64 (fma.f64 1/3 (*.f64 N N) (*.f64 (pow.f64 N 3) (+.f64 N -1/2))) (/.f64 1 (pow.f64 N 5)))
(*.f64 (fma.f64 1/27 (pow.f64 (pow.f64 N -3) 3) (pow.f64 (*.f64 (+.f64 N -1/2) (pow.f64 N -2)) 3)) (/.f64 1 (-.f64 (+.f64 (/.f64 1/9 (pow.f64 N 6)) (/.f64 (pow.f64 (+.f64 N -1/2) 2) (pow.f64 N 4))) (/.f64 (*.f64 1/3 (+.f64 N -1/2)) (pow.f64 N 5)))))
(*.f64 (-.f64 (/.f64 1/9 (pow.f64 N 6)) (/.f64 (pow.f64 (+.f64 N -1/2) 2) (pow.f64 N 4))) (/.f64 1 (-.f64 (*.f64 1/3 (pow.f64 N -3)) (*.f64 (+.f64 N -1/2) (pow.f64 N -2)))))
(/.f64 1 (/.f64 (pow.f64 N 5) (fma.f64 1/3 (*.f64 N N) (*.f64 (pow.f64 N 3) (+.f64 N -1/2)))))
(/.f64 1 (/.f64 (-.f64 (+.f64 (/.f64 1/9 (pow.f64 N 6)) (/.f64 (pow.f64 (+.f64 N -1/2) 2) (pow.f64 N 4))) (/.f64 (*.f64 1/3 (+.f64 N -1/2)) (pow.f64 N 5))) (fma.f64 1/27 (pow.f64 (pow.f64 N -3) 3) (pow.f64 (*.f64 (+.f64 N -1/2) (pow.f64 N -2)) 3))))
(/.f64 1 (/.f64 (-.f64 (*.f64 1/3 (pow.f64 N -3)) (*.f64 (+.f64 N -1/2) (pow.f64 N -2))) (-.f64 (/.f64 1/9 (pow.f64 N 6)) (/.f64 (pow.f64 (+.f64 N -1/2) 2) (pow.f64 N 4)))))
(/.f64 (fma.f64 1/3 (*.f64 N N) (*.f64 (pow.f64 N 3) (+.f64 N -1/2))) (pow.f64 N 5))
(/.f64 (fma.f64 1/27 (pow.f64 (pow.f64 N -3) 3) (pow.f64 (*.f64 (+.f64 N -1/2) (pow.f64 N -2)) 3)) (-.f64 (+.f64 (/.f64 1/9 (pow.f64 N 6)) (/.f64 (pow.f64 (+.f64 N -1/2) 2) (pow.f64 N 4))) (/.f64 (*.f64 1/3 (+.f64 N -1/2)) (pow.f64 N 5))))
(/.f64 (fma.f64 1/27 (pow.f64 (pow.f64 N -3) 3) (pow.f64 (*.f64 (+.f64 N -1/2) (pow.f64 N -2)) 3)) (+.f64 (/.f64 (pow.f64 (+.f64 N -1/2) 2) (pow.f64 N 4)) (-.f64 (/.f64 1/9 (pow.f64 N 6)) (/.f64 (*.f64 1/3 (+.f64 N -1/2)) (pow.f64 N 5)))))
(/.f64 (-.f64 (/.f64 1/9 (pow.f64 N 6)) (/.f64 (pow.f64 (+.f64 N -1/2) 2) (pow.f64 N 4))) (-.f64 (*.f64 1/3 (pow.f64 N -3)) (*.f64 (+.f64 N -1/2) (pow.f64 N -2))))
(/.f64 (fma.f64 1/3 (/.f64 N (/.f64 (+.f64 N -1/2) N)) (pow.f64 N 3)) (*.f64 (pow.f64 N 3) (/.f64 N (/.f64 (+.f64 N -1/2) N))))
(/.f64 (fma.f64 1/3 (*.f64 N (neg.f64 N)) (*.f64 (pow.f64 N 3) (neg.f64 (+.f64 N -1/2)))) (*.f64 (pow.f64 N 3) (*.f64 N (neg.f64 N))))
(/.f64 (fma.f64 1/3 N (*.f64 (pow.f64 N 3) (/.f64 (+.f64 N -1/2) N))) (pow.f64 N 4))
(/.f64 (fma.f64 N N (*.f64 (*.f64 (pow.f64 N 3) 3) (+.f64 N -1/2))) (*.f64 (*.f64 (pow.f64 N 3) 3) (*.f64 N N)))
(/.f64 (+.f64 (/.f64 N (/.f64 (+.f64 N -1/2) N)) (*.f64 (*.f64 (pow.f64 N 3) 3) 1)) (*.f64 (*.f64 (pow.f64 N 3) 3) (/.f64 N (/.f64 (+.f64 N -1/2) N))))
(/.f64 (fma.f64 N (neg.f64 N) (*.f64 (*.f64 (pow.f64 N 3) 3) (neg.f64 (+.f64 N -1/2)))) (*.f64 (*.f64 (pow.f64 N 3) 3) (*.f64 N (neg.f64 N))))
(/.f64 (+.f64 N (*.f64 (*.f64 (pow.f64 N 3) 3) (/.f64 (+.f64 N -1/2) N))) (*.f64 (*.f64 (pow.f64 N 3) 3) N))
(/.f64 (fma.f64 -1/3 (*.f64 N N) (*.f64 (neg.f64 (pow.f64 N 3)) (+.f64 N -1/2))) (*.f64 (neg.f64 (pow.f64 N 3)) (*.f64 N N)))
(/.f64 (fma.f64 -1/3 (/.f64 N (/.f64 (+.f64 N -1/2) N)) (*.f64 (neg.f64 (pow.f64 N 3)) 1)) (*.f64 (neg.f64 (pow.f64 N 3)) (/.f64 N (/.f64 (+.f64 N -1/2) N))))
(/.f64 (fma.f64 -1/3 (*.f64 N (neg.f64 N)) (*.f64 (neg.f64 (pow.f64 N 3)) (neg.f64 (+.f64 N -1/2)))) (*.f64 (neg.f64 (pow.f64 N 3)) (*.f64 N (neg.f64 N))))
(/.f64 (fma.f64 -1/3 N (*.f64 (neg.f64 (pow.f64 N 3)) (/.f64 (+.f64 N -1/2) N))) (*.f64 (neg.f64 (pow.f64 N 3)) N))
(/.f64 (fma.f64 (+.f64 N -1/2) (*.f64 (pow.f64 N 3) 3) (*.f64 N N)) (*.f64 (*.f64 N N) (*.f64 (pow.f64 N 3) 3)))
(/.f64 (fma.f64 (+.f64 N -1/2) (neg.f64 (pow.f64 N 3)) (*.f64 (*.f64 N N) -1/3)) (*.f64 (*.f64 N N) (neg.f64 (pow.f64 N 3))))
(/.f64 (+.f64 (pow.f64 N 3) (*.f64 (/.f64 N (/.f64 (+.f64 N -1/2) N)) 1/3)) (*.f64 (/.f64 N (/.f64 (+.f64 N -1/2) N)) (pow.f64 N 3)))
(/.f64 (fma.f64 (pow.f64 N 3) 3 (*.f64 (/.f64 N (/.f64 (+.f64 N -1/2) N)) 1)) (*.f64 (/.f64 N (/.f64 (+.f64 N -1/2) N)) (*.f64 (pow.f64 N 3) 3)))
(/.f64 (fma.f64 -1 (pow.f64 N 3) (*.f64 (/.f64 N (/.f64 (+.f64 N -1/2) N)) -1/3)) (*.f64 (/.f64 N (/.f64 (+.f64 N -1/2) N)) (neg.f64 (pow.f64 N 3))))
(/.f64 (fma.f64 (neg.f64 (+.f64 N -1/2)) (pow.f64 N 3) (*.f64 (*.f64 N (neg.f64 N)) 1/3)) (*.f64 (*.f64 N (neg.f64 N)) (pow.f64 N 3)))
(/.f64 (fma.f64 (neg.f64 (+.f64 N -1/2)) (*.f64 (pow.f64 N 3) 3) (*.f64 (*.f64 N (neg.f64 N)) 1)) (*.f64 (*.f64 N (neg.f64 N)) (*.f64 (pow.f64 N 3) 3)))
(/.f64 (fma.f64 (neg.f64 (+.f64 N -1/2)) (neg.f64 (pow.f64 N 3)) (*.f64 (*.f64 N (neg.f64 N)) -1/3)) (*.f64 (*.f64 N (neg.f64 N)) (neg.f64 (pow.f64 N 3))))
(/.f64 (fma.f64 (/.f64 (+.f64 N -1/2) N) (pow.f64 N 3) (*.f64 N 1/3)) (pow.f64 N 4))
(/.f64 (fma.f64 (/.f64 (+.f64 N -1/2) N) (*.f64 (pow.f64 N 3) 3) N) (*.f64 N (*.f64 (pow.f64 N 3) 3)))
(/.f64 (fma.f64 (/.f64 (+.f64 N -1/2) N) (neg.f64 (pow.f64 N 3)) (*.f64 N -1/3)) (*.f64 N (neg.f64 (pow.f64 N 3))))
(/.f64 (neg.f64 (fma.f64 1/3 (*.f64 N N) (*.f64 (pow.f64 N 3) (+.f64 N -1/2)))) (neg.f64 (pow.f64 N 5)))
(/.f64 (neg.f64 (fma.f64 1/27 (pow.f64 (pow.f64 N -3) 3) (pow.f64 (*.f64 (+.f64 N -1/2) (pow.f64 N -2)) 3))) (neg.f64 (-.f64 (+.f64 (/.f64 1/9 (pow.f64 N 6)) (/.f64 (pow.f64 (+.f64 N -1/2) 2) (pow.f64 N 4))) (/.f64 (*.f64 1/3 (+.f64 N -1/2)) (pow.f64 N 5)))))
(/.f64 (neg.f64 (-.f64 (/.f64 1/9 (pow.f64 N 6)) (/.f64 (pow.f64 (+.f64 N -1/2) 2) (pow.f64 N 4)))) (neg.f64 (-.f64 (*.f64 1/3 (pow.f64 N -3)) (*.f64 (+.f64 N -1/2) (pow.f64 N -2)))))
(/.f64 (-.f64 (/.f64 (pow.f64 (+.f64 N -1/2) 2) (pow.f64 N 4)) (/.f64 1/9 (pow.f64 N 6))) (-.f64 (*.f64 (+.f64 N -1/2) (pow.f64 N -2)) (*.f64 1/3 (pow.f64 N -3))))
(/.f64 (/.f64 (fma.f64 1/3 (*.f64 N N) (*.f64 (pow.f64 N 3) (+.f64 N -1/2))) (pow.f64 N 3)) (*.f64 N N))
(pow.f64 (fma.f64 1/3 (pow.f64 N -3) (*.f64 (+.f64 N -1/2) (pow.f64 N -2))) 1)
(pow.f64 (cbrt.f64 (fma.f64 1/3 (pow.f64 N -3) (*.f64 (+.f64 N -1/2) (pow.f64 N -2)))) 3)
(pow.f64 (pow.f64 (fma.f64 1/3 (pow.f64 N -3) (*.f64 (+.f64 N -1/2) (pow.f64 N -2))) 3) 1/3)
(pow.f64 (sqrt.f64 (fma.f64 1/3 (pow.f64 N -3) (*.f64 (+.f64 N -1/2) (pow.f64 N -2)))) 2)
(sqrt.f64 (pow.f64 (fma.f64 1/3 (pow.f64 N -3) (*.f64 (+.f64 N -1/2) (pow.f64 N -2))) 2))
(log.f64 (exp.f64 (fma.f64 1/3 (pow.f64 N -3) (*.f64 (+.f64 N -1/2) (pow.f64 N -2)))))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 1/3 (pow.f64 N -3) (*.f64 (+.f64 N -1/2) (pow.f64 N -2))))))
(log.f64 (*.f64 (pow.f64 (exp.f64 1/3) (pow.f64 N -3)) (+.f64 1 (expm1.f64 (*.f64 (+.f64 N -1/2) (pow.f64 N -2))))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 1/3 (pow.f64 N -3)))) (pow.f64 (exp.f64 (+.f64 N -1/2)) (pow.f64 N -2))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 1/3 (pow.f64 N -3)))) (+.f64 1 (expm1.f64 (*.f64 (+.f64 N -1/2) (pow.f64 N -2))))))
(log.f64 (*.f64 (pow.f64 (exp.f64 (+.f64 N -1/2)) (pow.f64 N -2)) (+.f64 1 (expm1.f64 (*.f64 1/3 (pow.f64 N -3))))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 (+.f64 N -1/2) (pow.f64 N -2)))) (pow.f64 (exp.f64 1/3) (pow.f64 N -3))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 (+.f64 N -1/2) (pow.f64 N -2)))) (+.f64 1 (expm1.f64 (*.f64 1/3 (pow.f64 N -3))))))
(cbrt.f64 (pow.f64 (fma.f64 1/3 (pow.f64 N -3) (*.f64 (+.f64 N -1/2) (pow.f64 N -2))) 3))
(expm1.f64 (log1p.f64 (fma.f64 1/3 (pow.f64 N -3) (*.f64 (+.f64 N -1/2) (pow.f64 N -2)))))
(exp.f64 (log.f64 (fma.f64 1/3 (pow.f64 N -3) (*.f64 (+.f64 N -1/2) (pow.f64 N -2)))))
(exp.f64 (*.f64 (log.f64 (fma.f64 1/3 (pow.f64 N -3) (*.f64 (+.f64 N -1/2) (pow.f64 N -2)))) 1))
(log1p.f64 (expm1.f64 (fma.f64 1/3 (pow.f64 N -3) (*.f64 (+.f64 N -1/2) (pow.f64 N -2)))))
(fma.f64 1/3 (pow.f64 N -3) (*.f64 (+.f64 N -1/2) (pow.f64 N -2)))
(fma.f64 (*.f64 1/3 (pow.f64 N -3)) 1 (*.f64 (+.f64 N -1/2) (pow.f64 N -2)))
(fma.f64 (+.f64 N -1/2) (pow.f64 N -2) (*.f64 1/3 (pow.f64 N -3)))
(fma.f64 (*.f64 (+.f64 N -1/2) (pow.f64 N -2)) 1 (*.f64 1/3 (pow.f64 N -3)))
(fma.f64 1 (*.f64 1/3 (pow.f64 N -3)) (*.f64 (+.f64 N -1/2) (pow.f64 N -2)))
(fma.f64 1 (*.f64 (+.f64 N -1/2) (pow.f64 N -2)) (*.f64 1/3 (pow.f64 N -3)))
(fma.f64 (cbrt.f64 (pow.f64 (+.f64 N -1/2) 2)) (*.f64 (cbrt.f64 (+.f64 N -1/2)) (pow.f64 N -2)) (*.f64 1/3 (pow.f64 N -3)))
(fma.f64 (cbrt.f64 (*.f64 (+.f64 N -1/2) (pow.f64 N -2))) (pow.f64 (cbrt.f64 (*.f64 (+.f64 N -1/2) (pow.f64 N -2))) 2) (*.f64 1/3 (pow.f64 N -3)))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 (+.f64 N -1/2) (pow.f64 N -2))) 2) (cbrt.f64 (*.f64 (+.f64 N -1/2) (pow.f64 N -2))) (*.f64 1/3 (pow.f64 N -3)))
(fma.f64 (/.f64 (cbrt.f64 1/3) N) (pow.f64 (/.f64 (cbrt.f64 1/3) N) 2) (*.f64 (+.f64 N -1/2) (pow.f64 N -2)))
(fma.f64 (pow.f64 (/.f64 (cbrt.f64 1/3) N) 2) (/.f64 (cbrt.f64 1/3) N) (*.f64 (+.f64 N -1/2) (pow.f64 N -2)))
(fma.f64 (sqrt.f64 (+.f64 N -1/2)) (*.f64 (sqrt.f64 (+.f64 N -1/2)) (pow.f64 N -2)) (*.f64 1/3 (pow.f64 N -3)))
(fma.f64 (/.f64 (sqrt.f64 (+.f64 N -1/2)) N) (/.f64 (sqrt.f64 (+.f64 N -1/2)) 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 N -1/2) (pow.f64 N -2)))
(fma.f64 -1/3 (/.f64 1 (neg.f64 (pow.f64 N 3))) (*.f64 (+.f64 N -1/2) (pow.f64 N -2)))
(fma.f64 (neg.f64 (+.f64 N -1/2)) (/.f64 1 (*.f64 N (neg.f64 N))) (*.f64 1/3 (pow.f64 N -3)))
(fma.f64 (pow.f64 N -3) 1/3 (*.f64 (+.f64 N -1/2) (pow.f64 N -2)))
(fma.f64 (pow.f64 N -2) (+.f64 N -1/2) (*.f64 1/3 (pow.f64 N -3)))
(fma.f64 (/.f64 (+.f64 N -1/2) N) (/.f64 1 N) (*.f64 1/3 (pow.f64 N -3)))
(fma.f64 (/.f64 1 N) (/.f64 (+.f64 N -1/2) N) (*.f64 1/3 (pow.f64 N -3)))
(fma.f64 (/.f64 1 (cbrt.f64 (pow.f64 N 4))) (/.f64 (+.f64 N -1/2) (pow.f64 (cbrt.f64 N) 2)) (*.f64 1/3 (pow.f64 N -3)))
(fma.f64 (/.f64 (cbrt.f64 (pow.f64 (+.f64 N -1/2) 2)) N) (/.f64 (cbrt.f64 (+.f64 N -1/2)) N) (*.f64 1/3 (pow.f64 N -3)))
(fma.f64 (/.f64 (cbrt.f64 (pow.f64 (+.f64 N -1/2) 2)) 1) (/.f64 (cbrt.f64 (+.f64 N -1/2)) (*.f64 N N)) (*.f64 1/3 (pow.f64 N -3)))
(fma.f64 (/.f64 (cbrt.f64 (pow.f64 (+.f64 N -1/2) 2)) (cbrt.f64 (pow.f64 N 4))) (cbrt.f64 (*.f64 (+.f64 N -1/2) (pow.f64 N -2))) (*.f64 1/3 (pow.f64 N -3)))
(fma.f64 (/.f64 (sqrt.f64 (+.f64 N -1/2)) 1) (/.f64 (sqrt.f64 (+.f64 N -1/2)) (*.f64 N N)) (*.f64 1/3 (pow.f64 N -3)))
(fma.f64 (/.f64 (sqrt.f64 (+.f64 N -1/2)) (cbrt.f64 (pow.f64 N 4))) (/.f64 (sqrt.f64 (+.f64 N -1/2)) (pow.f64 (cbrt.f64 N) 2)) (*.f64 1/3 (pow.f64 N -3)))
(+.f64 0 (*.f64 1/3 (pow.f64 N -3)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 1/3) (pow.f64 N -3))) (cbrt.f64 (pow.f64 (exp.f64 1/3) (pow.f64 N -3))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 1/3) (pow.f64 N -3)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 1/3) (pow.f64 N -3)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 1/3) (pow.f64 N -3)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 1/3 (pow.f64 N -3)))) 1)
(*.f64 1/3 (pow.f64 N -3))
(*.f64 (*.f64 1/3 (pow.f64 N -3)) 1)
(*.f64 1 (*.f64 1/3 (pow.f64 N -3)))
(*.f64 (/.f64 (cbrt.f64 1/3) N) (pow.f64 (/.f64 (cbrt.f64 1/3) N) 2))
(*.f64 (pow.f64 (/.f64 (cbrt.f64 1/3) N) 2) (/.f64 (cbrt.f64 1/3) N))
(*.f64 (/.f64 (sqrt.f64 1/3) (pow.f64 N 3/2)) (/.f64 (sqrt.f64 1/3) (pow.f64 N 3/2)))
(*.f64 -1/3 (/.f64 1 (neg.f64 (pow.f64 N 3))))
(*.f64 (pow.f64 N -3) 1/3)
(pow.f64 (*.f64 1/3 (pow.f64 N -3)) 1)
(pow.f64 (/.f64 (cbrt.f64 1/3) N) 3)
(pow.f64 (*.f64 1/27 (pow.f64 (pow.f64 N -3) 3)) 1/3)
(pow.f64 (/.f64 (sqrt.f64 1/3) (pow.f64 N 3/2)) 2)
(pow.f64 (*.f64 (pow.f64 N 3) 3) -1)
(sqrt.f64 (/.f64 1/9 (pow.f64 N 6)))
(log.f64 (pow.f64 (exp.f64 1/3) (pow.f64 N -3)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 1/3 (pow.f64 N -3)))))
(cbrt.f64 (*.f64 1/27 (pow.f64 (pow.f64 N -3) 3)))
(expm1.f64 (log1p.f64 (*.f64 1/3 (pow.f64 N -3))))
(exp.f64 (log.f64 (*.f64 1/3 (pow.f64 N -3))))
(exp.f64 (*.f64 (log.f64 (*.f64 1/3 (pow.f64 N -3))) 1))
(log1p.f64 (expm1.f64 (*.f64 1/3 (pow.f64 N -3))))
(+.f64 0 (/.f64 1 (+.f64 N 1/2)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (/.f64 1 (+.f64 N 1/2)))) (cbrt.f64 (exp.f64 (/.f64 1 (+.f64 N 1/2)))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 1 (+.f64 N 1/2))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 1 (+.f64 N 1/2))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 1 (+.f64 N 1/2))))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 1 (+.f64 N 1/2)))) 1)
(*.f64 1 (/.f64 1 (+.f64 N 1/2)))
(*.f64 (/.f64 1 (+.f64 N 1/2)) 1)
(*.f64 (cbrt.f64 (/.f64 1 (+.f64 N 1/2))) (cbrt.f64 (pow.f64 (+.f64 N 1/2) -2)))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 N 1/2) -2)) (cbrt.f64 (/.f64 1 (+.f64 N 1/2))))
(*.f64 (pow.f64 (+.f64 N 1/2) -1/2) (pow.f64 (+.f64 N 1/2) -1/2))
(*.f64 -1 (/.f64 1 (+.f64 -1/2 (neg.f64 N))))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (+.f64 N 1/2) 2)) -1) (pow.f64 (cbrt.f64 (+.f64 N 1/2)) -1))
(*.f64 (pow.f64 (sqrt.f64 (+.f64 N 1/2)) -1) (pow.f64 (sqrt.f64 (+.f64 N 1/2)) -1))
(*.f64 (/.f64 1 (+.f64 (pow.f64 N 3) 1/8)) (-.f64 (fma.f64 N N 1/4) (*.f64 N 1/2)))
(*.f64 (/.f64 1 (fma.f64 N N -1/4)) (+.f64 N -1/2))
(pow.f64 (+.f64 N 1/2) -1)
(pow.f64 (/.f64 1 (+.f64 N 1/2)) 1)
(pow.f64 (cbrt.f64 (/.f64 1 (+.f64 N 1/2))) 3)
(pow.f64 (pow.f64 (/.f64 1 (+.f64 N 1/2)) 3) 1/3)
(pow.f64 (pow.f64 (+.f64 N 1/2) -1/2) 2)
(sqrt.f64 (pow.f64 (+.f64 N 1/2) -2))
(log.f64 (exp.f64 (/.f64 1 (+.f64 N 1/2))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (+.f64 N 1/2)))))
(cbrt.f64 (pow.f64 (/.f64 1 (+.f64 N 1/2)) 3))
(expm1.f64 (log1p.f64 (/.f64 1 (+.f64 N 1/2))))
(exp.f64 (neg.f64 (log.f64 (+.f64 N 1/2))))
(exp.f64 (*.f64 (log.f64 (+.f64 N 1/2)) -1))
(exp.f64 (*.f64 (neg.f64 (log.f64 (+.f64 N 1/2))) 1))
(log1p.f64 (expm1.f64 (/.f64 1 (+.f64 N 1/2))))

simplify91.0ms (1.5%)

Algorithm
1×egg-herbie
Rules
1800×times-frac
1088×unswap-sqr
450×associate-/r*
400×associate-*r*
394×cancel-sign-sub-inv
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
04126543
110606223
235626117
Stop Event
1×node limit
Counts
165 → 216
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))))
2
(+.f64 2 (*.f64 -4 N))
(+.f64 (*.f64 8 (pow.f64 N 2)) (+.f64 2 (*.f64 -4 N)))
(+.f64 (*.f64 8 (pow.f64 N 2)) (+.f64 2 (+.f64 (*.f64 -4 N) (*.f64 -16 (pow.f64 N 3)))))
(/.f64 1 N)
(-.f64 (/.f64 1 N) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (+.f64 (/.f64 1 N) (*.f64 1/4 (/.f64 1 (pow.f64 N 3)))) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (+.f64 (/.f64 1 N) (*.f64 1/4 (/.f64 1 (pow.f64 N 3)))) (+.f64 (*.f64 1/8 (/.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 1/4 (/.f64 1 (pow.f64 N 3)))) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (+.f64 (/.f64 1 N) (*.f64 1/4 (/.f64 1 (pow.f64 N 3)))) (+.f64 (*.f64 1/8 (/.f64 1 (pow.f64 N 4))) (*.f64 1/2 (/.f64 1 (pow.f64 N 2)))))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 1/3 (pow.f64 N -3) (*.f64 (+.f64 N -1/2) (pow.f64 N -2))))) 1)
(-.f64 (/.f64 (/.f64 1/9 (pow.f64 N 6)) (-.f64 (*.f64 1/3 (pow.f64 N -3)) (*.f64 (+.f64 N -1/2) (pow.f64 N -2)))) (/.f64 (/.f64 (pow.f64 (+.f64 N -1/2) 2) (pow.f64 N 4)) (-.f64 (*.f64 1/3 (pow.f64 N -3)) (*.f64 (+.f64 N -1/2) (pow.f64 N -2)))))
(*.f64 (fma.f64 1/3 (pow.f64 N -3) (*.f64 (+.f64 N -1/2) (pow.f64 N -2))) 1)
(*.f64 1 (fma.f64 1/3 (pow.f64 N -3) (*.f64 (+.f64 N -1/2) (pow.f64 N -2))))
(*.f64 (cbrt.f64 (fma.f64 1/3 (pow.f64 N -3) (*.f64 (+.f64 N -1/2) (pow.f64 N -2)))) (cbrt.f64 (pow.f64 (fma.f64 1/3 (pow.f64 N -3) (*.f64 (+.f64 N -1/2) (pow.f64 N -2))) 2)))
(*.f64 (cbrt.f64 (pow.f64 (fma.f64 1/3 (pow.f64 N -3) (*.f64 (+.f64 N -1/2) (pow.f64 N -2))) 2)) (cbrt.f64 (fma.f64 1/3 (pow.f64 N -3) (*.f64 (+.f64 N -1/2) (pow.f64 N -2)))))
(*.f64 (sqrt.f64 (fma.f64 1/3 (pow.f64 N -3) (*.f64 (+.f64 N -1/2) (pow.f64 N -2)))) (sqrt.f64 (fma.f64 1/3 (pow.f64 N -3) (*.f64 (+.f64 N -1/2) (pow.f64 N -2)))))
(*.f64 (fma.f64 1/3 (*.f64 N N) (*.f64 (pow.f64 N 3) (+.f64 N -1/2))) (/.f64 1 (pow.f64 N 5)))
(*.f64 (fma.f64 1/27 (pow.f64 (pow.f64 N -3) 3) (pow.f64 (*.f64 (+.f64 N -1/2) (pow.f64 N -2)) 3)) (/.f64 1 (-.f64 (+.f64 (/.f64 1/9 (pow.f64 N 6)) (/.f64 (pow.f64 (+.f64 N -1/2) 2) (pow.f64 N 4))) (/.f64 (*.f64 1/3 (+.f64 N -1/2)) (pow.f64 N 5)))))
(*.f64 (-.f64 (/.f64 1/9 (pow.f64 N 6)) (/.f64 (pow.f64 (+.f64 N -1/2) 2) (pow.f64 N 4))) (/.f64 1 (-.f64 (*.f64 1/3 (pow.f64 N -3)) (*.f64 (+.f64 N -1/2) (pow.f64 N -2)))))
(/.f64 1 (/.f64 (pow.f64 N 5) (fma.f64 1/3 (*.f64 N N) (*.f64 (pow.f64 N 3) (+.f64 N -1/2)))))
(/.f64 1 (/.f64 (-.f64 (+.f64 (/.f64 1/9 (pow.f64 N 6)) (/.f64 (pow.f64 (+.f64 N -1/2) 2) (pow.f64 N 4))) (/.f64 (*.f64 1/3 (+.f64 N -1/2)) (pow.f64 N 5))) (fma.f64 1/27 (pow.f64 (pow.f64 N -3) 3) (pow.f64 (*.f64 (+.f64 N -1/2) (pow.f64 N -2)) 3))))
(/.f64 1 (/.f64 (-.f64 (*.f64 1/3 (pow.f64 N -3)) (*.f64 (+.f64 N -1/2) (pow.f64 N -2))) (-.f64 (/.f64 1/9 (pow.f64 N 6)) (/.f64 (pow.f64 (+.f64 N -1/2) 2) (pow.f64 N 4)))))
(/.f64 (fma.f64 1/3 (*.f64 N N) (*.f64 (pow.f64 N 3) (+.f64 N -1/2))) (pow.f64 N 5))
(/.f64 (fma.f64 1/27 (pow.f64 (pow.f64 N -3) 3) (pow.f64 (*.f64 (+.f64 N -1/2) (pow.f64 N -2)) 3)) (-.f64 (+.f64 (/.f64 1/9 (pow.f64 N 6)) (/.f64 (pow.f64 (+.f64 N -1/2) 2) (pow.f64 N 4))) (/.f64 (*.f64 1/3 (+.f64 N -1/2)) (pow.f64 N 5))))
(/.f64 (fma.f64 1/27 (pow.f64 (pow.f64 N -3) 3) (pow.f64 (*.f64 (+.f64 N -1/2) (pow.f64 N -2)) 3)) (+.f64 (/.f64 (pow.f64 (+.f64 N -1/2) 2) (pow.f64 N 4)) (-.f64 (/.f64 1/9 (pow.f64 N 6)) (/.f64 (*.f64 1/3 (+.f64 N -1/2)) (pow.f64 N 5)))))
(/.f64 (-.f64 (/.f64 1/9 (pow.f64 N 6)) (/.f64 (pow.f64 (+.f64 N -1/2) 2) (pow.f64 N 4))) (-.f64 (*.f64 1/3 (pow.f64 N -3)) (*.f64 (+.f64 N -1/2) (pow.f64 N -2))))
(/.f64 (fma.f64 1/3 (/.f64 N (/.f64 (+.f64 N -1/2) N)) (pow.f64 N 3)) (*.f64 (pow.f64 N 3) (/.f64 N (/.f64 (+.f64 N -1/2) N))))
(/.f64 (fma.f64 1/3 (*.f64 N (neg.f64 N)) (*.f64 (pow.f64 N 3) (neg.f64 (+.f64 N -1/2)))) (*.f64 (pow.f64 N 3) (*.f64 N (neg.f64 N))))
(/.f64 (fma.f64 1/3 N (*.f64 (pow.f64 N 3) (/.f64 (+.f64 N -1/2) N))) (pow.f64 N 4))
(/.f64 (fma.f64 N N (*.f64 (*.f64 (pow.f64 N 3) 3) (+.f64 N -1/2))) (*.f64 (*.f64 (pow.f64 N 3) 3) (*.f64 N N)))
(/.f64 (+.f64 (/.f64 N (/.f64 (+.f64 N -1/2) N)) (*.f64 (*.f64 (pow.f64 N 3) 3) 1)) (*.f64 (*.f64 (pow.f64 N 3) 3) (/.f64 N (/.f64 (+.f64 N -1/2) N))))
(/.f64 (fma.f64 N (neg.f64 N) (*.f64 (*.f64 (pow.f64 N 3) 3) (neg.f64 (+.f64 N -1/2)))) (*.f64 (*.f64 (pow.f64 N 3) 3) (*.f64 N (neg.f64 N))))
(/.f64 (+.f64 N (*.f64 (*.f64 (pow.f64 N 3) 3) (/.f64 (+.f64 N -1/2) N))) (*.f64 (*.f64 (pow.f64 N 3) 3) N))
(/.f64 (fma.f64 -1/3 (*.f64 N N) (*.f64 (neg.f64 (pow.f64 N 3)) (+.f64 N -1/2))) (*.f64 (neg.f64 (pow.f64 N 3)) (*.f64 N N)))
(/.f64 (fma.f64 -1/3 (/.f64 N (/.f64 (+.f64 N -1/2) N)) (*.f64 (neg.f64 (pow.f64 N 3)) 1)) (*.f64 (neg.f64 (pow.f64 N 3)) (/.f64 N (/.f64 (+.f64 N -1/2) N))))
(/.f64 (fma.f64 -1/3 (*.f64 N (neg.f64 N)) (*.f64 (neg.f64 (pow.f64 N 3)) (neg.f64 (+.f64 N -1/2)))) (*.f64 (neg.f64 (pow.f64 N 3)) (*.f64 N (neg.f64 N))))
(/.f64 (fma.f64 -1/3 N (*.f64 (neg.f64 (pow.f64 N 3)) (/.f64 (+.f64 N -1/2) N))) (*.f64 (neg.f64 (pow.f64 N 3)) N))
(/.f64 (fma.f64 (+.f64 N -1/2) (*.f64 (pow.f64 N 3) 3) (*.f64 N N)) (*.f64 (*.f64 N N) (*.f64 (pow.f64 N 3) 3)))
(/.f64 (fma.f64 (+.f64 N -1/2) (neg.f64 (pow.f64 N 3)) (*.f64 (*.f64 N N) -1/3)) (*.f64 (*.f64 N N) (neg.f64 (pow.f64 N 3))))
(/.f64 (+.f64 (pow.f64 N 3) (*.f64 (/.f64 N (/.f64 (+.f64 N -1/2) N)) 1/3)) (*.f64 (/.f64 N (/.f64 (+.f64 N -1/2) N)) (pow.f64 N 3)))
(/.f64 (fma.f64 (pow.f64 N 3) 3 (*.f64 (/.f64 N (/.f64 (+.f64 N -1/2) N)) 1)) (*.f64 (/.f64 N (/.f64 (+.f64 N -1/2) N)) (*.f64 (pow.f64 N 3) 3)))
(/.f64 (fma.f64 -1 (pow.f64 N 3) (*.f64 (/.f64 N (/.f64 (+.f64 N -1/2) N)) -1/3)) (*.f64 (/.f64 N (/.f64 (+.f64 N -1/2) N)) (neg.f64 (pow.f64 N 3))))
(/.f64 (fma.f64 (neg.f64 (+.f64 N -1/2)) (pow.f64 N 3) (*.f64 (*.f64 N (neg.f64 N)) 1/3)) (*.f64 (*.f64 N (neg.f64 N)) (pow.f64 N 3)))
(/.f64 (fma.f64 (neg.f64 (+.f64 N -1/2)) (*.f64 (pow.f64 N 3) 3) (*.f64 (*.f64 N (neg.f64 N)) 1)) (*.f64 (*.f64 N (neg.f64 N)) (*.f64 (pow.f64 N 3) 3)))
(/.f64 (fma.f64 (neg.f64 (+.f64 N -1/2)) (neg.f64 (pow.f64 N 3)) (*.f64 (*.f64 N (neg.f64 N)) -1/3)) (*.f64 (*.f64 N (neg.f64 N)) (neg.f64 (pow.f64 N 3))))
(/.f64 (fma.f64 (/.f64 (+.f64 N -1/2) N) (pow.f64 N 3) (*.f64 N 1/3)) (pow.f64 N 4))
(/.f64 (fma.f64 (/.f64 (+.f64 N -1/2) N) (*.f64 (pow.f64 N 3) 3) N) (*.f64 N (*.f64 (pow.f64 N 3) 3)))
(/.f64 (fma.f64 (/.f64 (+.f64 N -1/2) N) (neg.f64 (pow.f64 N 3)) (*.f64 N -1/3)) (*.f64 N (neg.f64 (pow.f64 N 3))))
(/.f64 (neg.f64 (fma.f64 1/3 (*.f64 N N) (*.f64 (pow.f64 N 3) (+.f64 N -1/2)))) (neg.f64 (pow.f64 N 5)))
(/.f64 (neg.f64 (fma.f64 1/27 (pow.f64 (pow.f64 N -3) 3) (pow.f64 (*.f64 (+.f64 N -1/2) (pow.f64 N -2)) 3))) (neg.f64 (-.f64 (+.f64 (/.f64 1/9 (pow.f64 N 6)) (/.f64 (pow.f64 (+.f64 N -1/2) 2) (pow.f64 N 4))) (/.f64 (*.f64 1/3 (+.f64 N -1/2)) (pow.f64 N 5)))))
(/.f64 (neg.f64 (-.f64 (/.f64 1/9 (pow.f64 N 6)) (/.f64 (pow.f64 (+.f64 N -1/2) 2) (pow.f64 N 4)))) (neg.f64 (-.f64 (*.f64 1/3 (pow.f64 N -3)) (*.f64 (+.f64 N -1/2) (pow.f64 N -2)))))
(/.f64 (-.f64 (/.f64 (pow.f64 (+.f64 N -1/2) 2) (pow.f64 N 4)) (/.f64 1/9 (pow.f64 N 6))) (-.f64 (*.f64 (+.f64 N -1/2) (pow.f64 N -2)) (*.f64 1/3 (pow.f64 N -3))))
(/.f64 (/.f64 (fma.f64 1/3 (*.f64 N N) (*.f64 (pow.f64 N 3) (+.f64 N -1/2))) (pow.f64 N 3)) (*.f64 N N))
(pow.f64 (fma.f64 1/3 (pow.f64 N -3) (*.f64 (+.f64 N -1/2) (pow.f64 N -2))) 1)
(pow.f64 (cbrt.f64 (fma.f64 1/3 (pow.f64 N -3) (*.f64 (+.f64 N -1/2) (pow.f64 N -2)))) 3)
(pow.f64 (pow.f64 (fma.f64 1/3 (pow.f64 N -3) (*.f64 (+.f64 N -1/2) (pow.f64 N -2))) 3) 1/3)
(pow.f64 (sqrt.f64 (fma.f64 1/3 (pow.f64 N -3) (*.f64 (+.f64 N -1/2) (pow.f64 N -2)))) 2)
(sqrt.f64 (pow.f64 (fma.f64 1/3 (pow.f64 N -3) (*.f64 (+.f64 N -1/2) (pow.f64 N -2))) 2))
(log.f64 (exp.f64 (fma.f64 1/3 (pow.f64 N -3) (*.f64 (+.f64 N -1/2) (pow.f64 N -2)))))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 1/3 (pow.f64 N -3) (*.f64 (+.f64 N -1/2) (pow.f64 N -2))))))
(log.f64 (*.f64 (pow.f64 (exp.f64 1/3) (pow.f64 N -3)) (+.f64 1 (expm1.f64 (*.f64 (+.f64 N -1/2) (pow.f64 N -2))))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 1/3 (pow.f64 N -3)))) (pow.f64 (exp.f64 (+.f64 N -1/2)) (pow.f64 N -2))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 1/3 (pow.f64 N -3)))) (+.f64 1 (expm1.f64 (*.f64 (+.f64 N -1/2) (pow.f64 N -2))))))
(log.f64 (*.f64 (pow.f64 (exp.f64 (+.f64 N -1/2)) (pow.f64 N -2)) (+.f64 1 (expm1.f64 (*.f64 1/3 (pow.f64 N -3))))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 (+.f64 N -1/2) (pow.f64 N -2)))) (pow.f64 (exp.f64 1/3) (pow.f64 N -3))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 (+.f64 N -1/2) (pow.f64 N -2)))) (+.f64 1 (expm1.f64 (*.f64 1/3 (pow.f64 N -3))))))
(cbrt.f64 (pow.f64 (fma.f64 1/3 (pow.f64 N -3) (*.f64 (+.f64 N -1/2) (pow.f64 N -2))) 3))
(expm1.f64 (log1p.f64 (fma.f64 1/3 (pow.f64 N -3) (*.f64 (+.f64 N -1/2) (pow.f64 N -2)))))
(exp.f64 (log.f64 (fma.f64 1/3 (pow.f64 N -3) (*.f64 (+.f64 N -1/2) (pow.f64 N -2)))))
(exp.f64 (*.f64 (log.f64 (fma.f64 1/3 (pow.f64 N -3) (*.f64 (+.f64 N -1/2) (pow.f64 N -2)))) 1))
(log1p.f64 (expm1.f64 (fma.f64 1/3 (pow.f64 N -3) (*.f64 (+.f64 N -1/2) (pow.f64 N -2)))))
(fma.f64 1/3 (pow.f64 N -3) (*.f64 (+.f64 N -1/2) (pow.f64 N -2)))
(fma.f64 (*.f64 1/3 (pow.f64 N -3)) 1 (*.f64 (+.f64 N -1/2) (pow.f64 N -2)))
(fma.f64 (+.f64 N -1/2) (pow.f64 N -2) (*.f64 1/3 (pow.f64 N -3)))
(fma.f64 (*.f64 (+.f64 N -1/2) (pow.f64 N -2)) 1 (*.f64 1/3 (pow.f64 N -3)))
(fma.f64 1 (*.f64 1/3 (pow.f64 N -3)) (*.f64 (+.f64 N -1/2) (pow.f64 N -2)))
(fma.f64 1 (*.f64 (+.f64 N -1/2) (pow.f64 N -2)) (*.f64 1/3 (pow.f64 N -3)))
(fma.f64 (cbrt.f64 (pow.f64 (+.f64 N -1/2) 2)) (*.f64 (cbrt.f64 (+.f64 N -1/2)) (pow.f64 N -2)) (*.f64 1/3 (pow.f64 N -3)))
(fma.f64 (cbrt.f64 (*.f64 (+.f64 N -1/2) (pow.f64 N -2))) (pow.f64 (cbrt.f64 (*.f64 (+.f64 N -1/2) (pow.f64 N -2))) 2) (*.f64 1/3 (pow.f64 N -3)))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 (+.f64 N -1/2) (pow.f64 N -2))) 2) (cbrt.f64 (*.f64 (+.f64 N -1/2) (pow.f64 N -2))) (*.f64 1/3 (pow.f64 N -3)))
(fma.f64 (/.f64 (cbrt.f64 1/3) N) (pow.f64 (/.f64 (cbrt.f64 1/3) N) 2) (*.f64 (+.f64 N -1/2) (pow.f64 N -2)))
(fma.f64 (pow.f64 (/.f64 (cbrt.f64 1/3) N) 2) (/.f64 (cbrt.f64 1/3) N) (*.f64 (+.f64 N -1/2) (pow.f64 N -2)))
(fma.f64 (sqrt.f64 (+.f64 N -1/2)) (*.f64 (sqrt.f64 (+.f64 N -1/2)) (pow.f64 N -2)) (*.f64 1/3 (pow.f64 N -3)))
(fma.f64 (/.f64 (sqrt.f64 (+.f64 N -1/2)) N) (/.f64 (sqrt.f64 (+.f64 N -1/2)) 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 N -1/2) (pow.f64 N -2)))
(fma.f64 -1/3 (/.f64 1 (neg.f64 (pow.f64 N 3))) (*.f64 (+.f64 N -1/2) (pow.f64 N -2)))
(fma.f64 (neg.f64 (+.f64 N -1/2)) (/.f64 1 (*.f64 N (neg.f64 N))) (*.f64 1/3 (pow.f64 N -3)))
(fma.f64 (pow.f64 N -3) 1/3 (*.f64 (+.f64 N -1/2) (pow.f64 N -2)))
(fma.f64 (pow.f64 N -2) (+.f64 N -1/2) (*.f64 1/3 (pow.f64 N -3)))
(fma.f64 (/.f64 (+.f64 N -1/2) N) (/.f64 1 N) (*.f64 1/3 (pow.f64 N -3)))
(fma.f64 (/.f64 1 N) (/.f64 (+.f64 N -1/2) N) (*.f64 1/3 (pow.f64 N -3)))
(fma.f64 (/.f64 1 (cbrt.f64 (pow.f64 N 4))) (/.f64 (+.f64 N -1/2) (pow.f64 (cbrt.f64 N) 2)) (*.f64 1/3 (pow.f64 N -3)))
(fma.f64 (/.f64 (cbrt.f64 (pow.f64 (+.f64 N -1/2) 2)) N) (/.f64 (cbrt.f64 (+.f64 N -1/2)) N) (*.f64 1/3 (pow.f64 N -3)))
(fma.f64 (/.f64 (cbrt.f64 (pow.f64 (+.f64 N -1/2) 2)) 1) (/.f64 (cbrt.f64 (+.f64 N -1/2)) (*.f64 N N)) (*.f64 1/3 (pow.f64 N -3)))
(fma.f64 (/.f64 (cbrt.f64 (pow.f64 (+.f64 N -1/2) 2)) (cbrt.f64 (pow.f64 N 4))) (cbrt.f64 (*.f64 (+.f64 N -1/2) (pow.f64 N -2))) (*.f64 1/3 (pow.f64 N -3)))
(fma.f64 (/.f64 (sqrt.f64 (+.f64 N -1/2)) 1) (/.f64 (sqrt.f64 (+.f64 N -1/2)) (*.f64 N N)) (*.f64 1/3 (pow.f64 N -3)))
(fma.f64 (/.f64 (sqrt.f64 (+.f64 N -1/2)) (cbrt.f64 (pow.f64 N 4))) (/.f64 (sqrt.f64 (+.f64 N -1/2)) (pow.f64 (cbrt.f64 N) 2)) (*.f64 1/3 (pow.f64 N -3)))
(+.f64 0 (*.f64 1/3 (pow.f64 N -3)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 1/3) (pow.f64 N -3))) (cbrt.f64 (pow.f64 (exp.f64 1/3) (pow.f64 N -3))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 1/3) (pow.f64 N -3)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 1/3) (pow.f64 N -3)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 1/3) (pow.f64 N -3)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 1/3 (pow.f64 N -3)))) 1)
(*.f64 1/3 (pow.f64 N -3))
(*.f64 (*.f64 1/3 (pow.f64 N -3)) 1)
(*.f64 1 (*.f64 1/3 (pow.f64 N -3)))
(*.f64 (/.f64 (cbrt.f64 1/3) N) (pow.f64 (/.f64 (cbrt.f64 1/3) N) 2))
(*.f64 (pow.f64 (/.f64 (cbrt.f64 1/3) N) 2) (/.f64 (cbrt.f64 1/3) N))
(*.f64 (/.f64 (sqrt.f64 1/3) (pow.f64 N 3/2)) (/.f64 (sqrt.f64 1/3) (pow.f64 N 3/2)))
(*.f64 -1/3 (/.f64 1 (neg.f64 (pow.f64 N 3))))
(*.f64 (pow.f64 N -3) 1/3)
(pow.f64 (*.f64 1/3 (pow.f64 N -3)) 1)
(pow.f64 (/.f64 (cbrt.f64 1/3) N) 3)
(pow.f64 (*.f64 1/27 (pow.f64 (pow.f64 N -3) 3)) 1/3)
(pow.f64 (/.f64 (sqrt.f64 1/3) (pow.f64 N 3/2)) 2)
(pow.f64 (*.f64 (pow.f64 N 3) 3) -1)
(sqrt.f64 (/.f64 1/9 (pow.f64 N 6)))
(log.f64 (pow.f64 (exp.f64 1/3) (pow.f64 N -3)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 1/3 (pow.f64 N -3)))))
(cbrt.f64 (*.f64 1/27 (pow.f64 (pow.f64 N -3) 3)))
(expm1.f64 (log1p.f64 (*.f64 1/3 (pow.f64 N -3))))
(exp.f64 (log.f64 (*.f64 1/3 (pow.f64 N -3))))
(exp.f64 (*.f64 (log.f64 (*.f64 1/3 (pow.f64 N -3))) 1))
(log1p.f64 (expm1.f64 (*.f64 1/3 (pow.f64 N -3))))
(+.f64 0 (/.f64 1 (+.f64 N 1/2)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (/.f64 1 (+.f64 N 1/2)))) (cbrt.f64 (exp.f64 (/.f64 1 (+.f64 N 1/2)))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 1 (+.f64 N 1/2))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 1 (+.f64 N 1/2))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 1 (+.f64 N 1/2))))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 1 (+.f64 N 1/2)))) 1)
(*.f64 1 (/.f64 1 (+.f64 N 1/2)))
(*.f64 (/.f64 1 (+.f64 N 1/2)) 1)
(*.f64 (cbrt.f64 (/.f64 1 (+.f64 N 1/2))) (cbrt.f64 (pow.f64 (+.f64 N 1/2) -2)))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 N 1/2) -2)) (cbrt.f64 (/.f64 1 (+.f64 N 1/2))))
(*.f64 (pow.f64 (+.f64 N 1/2) -1/2) (pow.f64 (+.f64 N 1/2) -1/2))
(*.f64 -1 (/.f64 1 (+.f64 -1/2 (neg.f64 N))))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (+.f64 N 1/2) 2)) -1) (pow.f64 (cbrt.f64 (+.f64 N 1/2)) -1))
(*.f64 (pow.f64 (sqrt.f64 (+.f64 N 1/2)) -1) (pow.f64 (sqrt.f64 (+.f64 N 1/2)) -1))
(*.f64 (/.f64 1 (+.f64 (pow.f64 N 3) 1/8)) (-.f64 (fma.f64 N N 1/4) (*.f64 N 1/2)))
(*.f64 (/.f64 1 (fma.f64 N N -1/4)) (+.f64 N -1/2))
(pow.f64 (+.f64 N 1/2) -1)
(pow.f64 (/.f64 1 (+.f64 N 1/2)) 1)
(pow.f64 (cbrt.f64 (/.f64 1 (+.f64 N 1/2))) 3)
(pow.f64 (pow.f64 (/.f64 1 (+.f64 N 1/2)) 3) 1/3)
(pow.f64 (pow.f64 (+.f64 N 1/2) -1/2) 2)
(sqrt.f64 (pow.f64 (+.f64 N 1/2) -2))
(log.f64 (exp.f64 (/.f64 1 (+.f64 N 1/2))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (+.f64 N 1/2)))))
(cbrt.f64 (pow.f64 (/.f64 1 (+.f64 N 1/2)) 3))
(expm1.f64 (log1p.f64 (/.f64 1 (+.f64 N 1/2))))
(exp.f64 (neg.f64 (log.f64 (+.f64 N 1/2))))
(exp.f64 (*.f64 (log.f64 (+.f64 N 1/2)) -1))
(exp.f64 (*.f64 (neg.f64 (log.f64 (+.f64 N 1/2))) 1))
(log1p.f64 (expm1.f64 (/.f64 1 (+.f64 N 1/2))))
Outputs
(/.f64 1/3 (pow.f64 N 3))
(-.f64 (*.f64 1/3 (/.f64 1 (pow.f64 N 3))) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 1/2 (*.f64 N N)))
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 -1/2 (*.f64 N N)))
(-.f64 (+.f64 (*.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 1/3 (pow.f64 N 3)) (+.f64 (/.f64 1 N) (/.f64 -1/2 (*.f64 N N))))
(-.f64 (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 N 3))) (/.f64 1 N)) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (-.f64 (/.f64 1 N) (/.f64 1/2 (*.f64 N N))))
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (+.f64 (/.f64 1 N) (/.f64 -1/2 (*.f64 N N))))
(/.f64 1 N)
(-.f64 (/.f64 1 N) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (/.f64 1 N) (/.f64 1/2 (*.f64 N N)))
(+.f64 (/.f64 1 N) (/.f64 -1/2 (*.f64 N N)))
(-.f64 (+.f64 (/.f64 1 N) (*.f64 1/3 (/.f64 1 (pow.f64 N 3)))) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (-.f64 (/.f64 1 N) (/.f64 1/2 (*.f64 N N))))
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (+.f64 (/.f64 1 N) (/.f64 -1/2 (*.f64 N N))))
(-.f64 (+.f64 (/.f64 1 N) (*.f64 1/3 (/.f64 1 (pow.f64 N 3)))) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (-.f64 (/.f64 1 N) (/.f64 1/2 (*.f64 N N))))
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (+.f64 (/.f64 1 N) (/.f64 -1/2 (*.f64 N N))))
(/.f64 1 N)
(-.f64 (/.f64 1 N) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (/.f64 1 N) (/.f64 1/2 (*.f64 N N)))
(+.f64 (/.f64 1 N) (/.f64 -1/2 (*.f64 N N)))
(-.f64 (+.f64 (/.f64 1 N) (*.f64 1/3 (/.f64 1 (pow.f64 N 3)))) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (-.f64 (/.f64 1 N) (/.f64 1/2 (*.f64 N N))))
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (+.f64 (/.f64 1 N) (/.f64 -1/2 (*.f64 N N))))
(-.f64 (+.f64 (/.f64 1 N) (*.f64 1/3 (/.f64 1 (pow.f64 N 3)))) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (-.f64 (/.f64 1 N) (/.f64 1/2 (*.f64 N N))))
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (+.f64 (/.f64 1 N) (/.f64 -1/2 (*.f64 N N))))
2
(+.f64 2 (*.f64 -4 N))
(+.f64 2 (*.f64 N -4))
(fma.f64 N -4 2)
(+.f64 (*.f64 8 (pow.f64 N 2)) (+.f64 2 (*.f64 -4 N)))
(fma.f64 8 (*.f64 N N) (+.f64 2 (*.f64 N -4)))
(fma.f64 8 (*.f64 N N) (fma.f64 N -4 2))
(+.f64 (*.f64 8 (pow.f64 N 2)) (+.f64 2 (+.f64 (*.f64 -4 N) (*.f64 -16 (pow.f64 N 3)))))
(fma.f64 8 (*.f64 N N) (+.f64 2 (fma.f64 -4 N (*.f64 (pow.f64 N 3) -16))))
(fma.f64 8 (*.f64 N N) (+.f64 2 (fma.f64 (pow.f64 N 3) -16 (*.f64 N -4))))
(+.f64 (fma.f64 8 (*.f64 N N) (fma.f64 N -4 2)) (*.f64 (pow.f64 N 3) -16))
(/.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 1/4 (/.f64 1 (pow.f64 N 3)))) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(+.f64 (/.f64 1 N) (-.f64 (/.f64 1/4 (pow.f64 N 3)) (/.f64 1/2 (*.f64 N N))))
(+.f64 (/.f64 1 N) (+.f64 (/.f64 1/4 (pow.f64 N 3)) (/.f64 -1/2 (*.f64 N N))))
(-.f64 (+.f64 (/.f64 1 N) (*.f64 1/4 (/.f64 1 (pow.f64 N 3)))) (+.f64 (*.f64 1/8 (/.f64 1 (pow.f64 N 4))) (*.f64 1/2 (/.f64 1 (pow.f64 N 2)))))
(-.f64 (+.f64 (/.f64 1 N) (/.f64 1/4 (pow.f64 N 3))) (+.f64 (/.f64 1/2 (*.f64 N N)) (/.f64 1/8 (pow.f64 N 4))))
(-.f64 (+.f64 (/.f64 1 N) (/.f64 1/4 (pow.f64 N 3))) (+.f64 (/.f64 (/.f64 1/2 N) N) (/.f64 1/8 (pow.f64 N 4))))
(+.f64 (/.f64 1 N) (+.f64 (/.f64 1/4 (pow.f64 N 3)) (-.f64 (/.f64 -1/2 (*.f64 N N)) (/.f64 1/8 (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 1/4 (/.f64 1 (pow.f64 N 3)))) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(+.f64 (/.f64 1 N) (-.f64 (/.f64 1/4 (pow.f64 N 3)) (/.f64 1/2 (*.f64 N N))))
(+.f64 (/.f64 1 N) (+.f64 (/.f64 1/4 (pow.f64 N 3)) (/.f64 -1/2 (*.f64 N N))))
(-.f64 (+.f64 (/.f64 1 N) (*.f64 1/4 (/.f64 1 (pow.f64 N 3)))) (+.f64 (*.f64 1/8 (/.f64 1 (pow.f64 N 4))) (*.f64 1/2 (/.f64 1 (pow.f64 N 2)))))
(-.f64 (+.f64 (/.f64 1 N) (/.f64 1/4 (pow.f64 N 3))) (+.f64 (/.f64 1/2 (*.f64 N N)) (/.f64 1/8 (pow.f64 N 4))))
(-.f64 (+.f64 (/.f64 1 N) (/.f64 1/4 (pow.f64 N 3))) (+.f64 (/.f64 (/.f64 1/2 N) N) (/.f64 1/8 (pow.f64 N 4))))
(+.f64 (/.f64 1 N) (+.f64 (/.f64 1/4 (pow.f64 N 3)) (-.f64 (/.f64 -1/2 (*.f64 N N)) (/.f64 1/8 (pow.f64 N 4)))))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 1/3 (pow.f64 N -3) (*.f64 (+.f64 N -1/2) (pow.f64 N -2))))) 1)
(fma.f64 1/3 (pow.f64 N -3) (*.f64 (+.f64 N -1/2) (pow.f64 N -2)))
(fma.f64 (+.f64 N -1/2) (pow.f64 N -2) (*.f64 1/3 (pow.f64 N -3)))
(-.f64 (/.f64 (/.f64 1/9 (pow.f64 N 6)) (-.f64 (*.f64 1/3 (pow.f64 N -3)) (*.f64 (+.f64 N -1/2) (pow.f64 N -2)))) (/.f64 (/.f64 (pow.f64 (+.f64 N -1/2) 2) (pow.f64 N 4)) (-.f64 (*.f64 1/3 (pow.f64 N -3)) (*.f64 (+.f64 N -1/2) (pow.f64 N -2)))))
(/.f64 (-.f64 (/.f64 1/9 (pow.f64 N 6)) (/.f64 (pow.f64 (+.f64 N -1/2) 2) (pow.f64 N 4))) (-.f64 (*.f64 1/3 (pow.f64 N -3)) (*.f64 (+.f64 N -1/2) (pow.f64 N -2))))
(/.f64 (-.f64 (/.f64 1/9 (pow.f64 N 6)) (/.f64 (pow.f64 (+.f64 N -1/2) 2) (pow.f64 N 4))) (fma.f64 1/3 (pow.f64 N -3) (*.f64 (pow.f64 N -2) (-.f64 1/2 N))))
(*.f64 (fma.f64 1/3 (pow.f64 N -3) (*.f64 (+.f64 N -1/2) (pow.f64 N -2))) 1)
(fma.f64 1/3 (pow.f64 N -3) (*.f64 (+.f64 N -1/2) (pow.f64 N -2)))
(fma.f64 (+.f64 N -1/2) (pow.f64 N -2) (*.f64 1/3 (pow.f64 N -3)))
(*.f64 1 (fma.f64 1/3 (pow.f64 N -3) (*.f64 (+.f64 N -1/2) (pow.f64 N -2))))
(fma.f64 1/3 (pow.f64 N -3) (*.f64 (+.f64 N -1/2) (pow.f64 N -2)))
(fma.f64 (+.f64 N -1/2) (pow.f64 N -2) (*.f64 1/3 (pow.f64 N -3)))
(*.f64 (cbrt.f64 (fma.f64 1/3 (pow.f64 N -3) (*.f64 (+.f64 N -1/2) (pow.f64 N -2)))) (cbrt.f64 (pow.f64 (fma.f64 1/3 (pow.f64 N -3) (*.f64 (+.f64 N -1/2) (pow.f64 N -2))) 2)))
(*.f64 (cbrt.f64 (fma.f64 (+.f64 N -1/2) (pow.f64 N -2) (*.f64 1/3 (pow.f64 N -3)))) (cbrt.f64 (pow.f64 (fma.f64 (+.f64 N -1/2) (pow.f64 N -2) (*.f64 1/3 (pow.f64 N -3))) 2)))
(*.f64 (cbrt.f64 (pow.f64 (fma.f64 1/3 (pow.f64 N -3) (*.f64 (+.f64 N -1/2) (pow.f64 N -2))) 2)) (cbrt.f64 (fma.f64 1/3 (pow.f64 N -3) (*.f64 (+.f64 N -1/2) (pow.f64 N -2)))))
(*.f64 (cbrt.f64 (fma.f64 1/3 (pow.f64 N -3) (*.f64 (+.f64 N -1/2) (pow.f64 N -2)))) (cbrt.f64 (pow.f64 (fma.f64 1/3 (pow.f64 N -3) (*.f64 (+.f64 N -1/2) (pow.f64 N -2))) 2)))
(*.f64 (cbrt.f64 (fma.f64 (+.f64 N -1/2) (pow.f64 N -2) (*.f64 1/3 (pow.f64 N -3)))) (cbrt.f64 (pow.f64 (fma.f64 (+.f64 N -1/2) (pow.f64 N -2) (*.f64 1/3 (pow.f64 N -3))) 2)))
(*.f64 (sqrt.f64 (fma.f64 1/3 (pow.f64 N -3) (*.f64 (+.f64 N -1/2) (pow.f64 N -2)))) (sqrt.f64 (fma.f64 1/3 (pow.f64 N -3) (*.f64 (+.f64 N -1/2) (pow.f64 N -2)))))
(fma.f64 1/3 (pow.f64 N -3) (*.f64 (+.f64 N -1/2) (pow.f64 N -2)))
(fma.f64 (+.f64 N -1/2) (pow.f64 N -2) (*.f64 1/3 (pow.f64 N -3)))
(*.f64 (fma.f64 1/3 (*.f64 N N) (*.f64 (pow.f64 N 3) (+.f64 N -1/2))) (/.f64 1 (pow.f64 N 5)))
(/.f64 (fma.f64 1/3 (*.f64 N N) (*.f64 (pow.f64 N 3) (+.f64 N -1/2))) (pow.f64 N 5))
(*.f64 (fma.f64 1/27 (pow.f64 (pow.f64 N -3) 3) (pow.f64 (*.f64 (+.f64 N -1/2) (pow.f64 N -2)) 3)) (/.f64 1 (-.f64 (+.f64 (/.f64 1/9 (pow.f64 N 6)) (/.f64 (pow.f64 (+.f64 N -1/2) 2) (pow.f64 N 4))) (/.f64 (*.f64 1/3 (+.f64 N -1/2)) (pow.f64 N 5)))))
(*.f64 (fma.f64 1/27 (pow.f64 (pow.f64 N -3) 3) (pow.f64 (*.f64 (+.f64 N -1/2) (pow.f64 N -2)) 3)) (/.f64 1 (+.f64 (/.f64 1/9 (pow.f64 N 6)) (-.f64 (/.f64 (pow.f64 (+.f64 N -1/2) 2) (pow.f64 N 4)) (/.f64 1/3 (/.f64 (pow.f64 N 5) (+.f64 N -1/2)))))))
(/.f64 (fma.f64 1/27 (pow.f64 (pow.f64 N -3) 3) (pow.f64 (*.f64 (+.f64 N -1/2) (pow.f64 N -2)) 3)) (+.f64 (/.f64 (pow.f64 (+.f64 N -1/2) 2) (pow.f64 N 4)) (-.f64 (/.f64 1/9 (pow.f64 N 6)) (/.f64 (fma.f64 1/3 N -1/6) (pow.f64 N 5)))))
(/.f64 (fma.f64 1/27 (pow.f64 (pow.f64 N -3) 3) (pow.f64 (*.f64 (+.f64 N -1/2) (pow.f64 N -2)) 3)) (+.f64 (/.f64 1/9 (pow.f64 N 6)) (-.f64 (/.f64 (pow.f64 (+.f64 N -1/2) 2) (pow.f64 N 4)) (/.f64 (fma.f64 1/3 N -1/6) (pow.f64 N 5)))))
(*.f64 (-.f64 (/.f64 1/9 (pow.f64 N 6)) (/.f64 (pow.f64 (+.f64 N -1/2) 2) (pow.f64 N 4))) (/.f64 1 (-.f64 (*.f64 1/3 (pow.f64 N -3)) (*.f64 (+.f64 N -1/2) (pow.f64 N -2)))))
(/.f64 (-.f64 (/.f64 1/9 (pow.f64 N 6)) (/.f64 (pow.f64 (+.f64 N -1/2) 2) (pow.f64 N 4))) (-.f64 (*.f64 1/3 (pow.f64 N -3)) (*.f64 (+.f64 N -1/2) (pow.f64 N -2))))
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(*.f64 1/3 (pow.f64 N -3))
(*.f64 1/3 (pow.f64 N -3))
(*.f64 (*.f64 1/3 (pow.f64 N -3)) 1)
(*.f64 1/3 (pow.f64 N -3))
(*.f64 1 (*.f64 1/3 (pow.f64 N -3)))
(*.f64 1/3 (pow.f64 N -3))
(*.f64 (/.f64 (cbrt.f64 1/3) N) (pow.f64 (/.f64 (cbrt.f64 1/3) N) 2))
(/.f64 1/3 (pow.f64 N 3))
(*.f64 (pow.f64 (/.f64 (cbrt.f64 1/3) N) 2) (/.f64 (cbrt.f64 1/3) N))
(/.f64 1/3 (pow.f64 N 3))
(*.f64 (/.f64 (sqrt.f64 1/3) (pow.f64 N 3/2)) (/.f64 (sqrt.f64 1/3) (pow.f64 N 3/2)))
(/.f64 1/3 (pow.f64 N 3))
(*.f64 -1/3 (/.f64 1 (neg.f64 (pow.f64 N 3))))
(/.f64 1/3 (pow.f64 N 3))
(*.f64 (pow.f64 N -3) 1/3)
(*.f64 1/3 (pow.f64 N -3))
(pow.f64 (*.f64 1/3 (pow.f64 N -3)) 1)
(*.f64 1/3 (pow.f64 N -3))
(pow.f64 (/.f64 (cbrt.f64 1/3) N) 3)
(/.f64 1/3 (pow.f64 N 3))
(pow.f64 (*.f64 1/27 (pow.f64 (pow.f64 N -3) 3)) 1/3)
(cbrt.f64 (*.f64 1/27 (pow.f64 (pow.f64 N -3) 3)))
(pow.f64 (/.f64 (sqrt.f64 1/3) (pow.f64 N 3/2)) 2)
(/.f64 1/3 (pow.f64 N 3))
(pow.f64 (*.f64 (pow.f64 N 3) 3) -1)
(/.f64 1/3 (pow.f64 N 3))
(sqrt.f64 (/.f64 1/9 (pow.f64 N 6)))
(log.f64 (pow.f64 (exp.f64 1/3) (pow.f64 N -3)))
(*.f64 1/3 (pow.f64 N -3))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 1/3 (pow.f64 N -3)))))
(*.f64 1/3 (pow.f64 N -3))
(cbrt.f64 (*.f64 1/27 (pow.f64 (pow.f64 N -3) 3)))
(expm1.f64 (log1p.f64 (*.f64 1/3 (pow.f64 N -3))))
(*.f64 1/3 (pow.f64 N -3))
(exp.f64 (log.f64 (*.f64 1/3 (pow.f64 N -3))))
(*.f64 1/3 (pow.f64 N -3))
(exp.f64 (*.f64 (log.f64 (*.f64 1/3 (pow.f64 N -3))) 1))
(*.f64 1/3 (pow.f64 N -3))
(log1p.f64 (expm1.f64 (*.f64 1/3 (pow.f64 N -3))))
(*.f64 1/3 (pow.f64 N -3))
(+.f64 0 (/.f64 1 (+.f64 N 1/2)))
(/.f64 1 (+.f64 N 1/2))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (/.f64 1 (+.f64 N 1/2)))) (cbrt.f64 (exp.f64 (/.f64 1 (+.f64 N 1/2)))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 1 (+.f64 N 1/2))))))
(+.f64 (*.f64 2 (log.f64 (cbrt.f64 (exp.f64 (/.f64 1 (+.f64 N 1/2)))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 1 (+.f64 N 1/2))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 1 (+.f64 N 1/2))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 1 (+.f64 N 1/2))))))
(*.f64 2 (log.f64 (sqrt.f64 (exp.f64 (/.f64 1 (+.f64 N 1/2))))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 1 (+.f64 N 1/2)))) 1)
(/.f64 1 (+.f64 N 1/2))
(*.f64 1 (/.f64 1 (+.f64 N 1/2)))
(/.f64 1 (+.f64 N 1/2))
(*.f64 (/.f64 1 (+.f64 N 1/2)) 1)
(/.f64 1 (+.f64 N 1/2))
(*.f64 (cbrt.f64 (/.f64 1 (+.f64 N 1/2))) (cbrt.f64 (pow.f64 (+.f64 N 1/2) -2)))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 N 1/2) -2)) (cbrt.f64 (/.f64 1 (+.f64 N 1/2))))
(*.f64 (cbrt.f64 (/.f64 1 (+.f64 N 1/2))) (cbrt.f64 (pow.f64 (+.f64 N 1/2) -2)))
(*.f64 (pow.f64 (+.f64 N 1/2) -1/2) (pow.f64 (+.f64 N 1/2) -1/2))
(/.f64 1 (+.f64 N 1/2))
(*.f64 -1 (/.f64 1 (+.f64 -1/2 (neg.f64 N))))
(/.f64 -1 (-.f64 -1/2 N))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (+.f64 N 1/2) 2)) -1) (pow.f64 (cbrt.f64 (+.f64 N 1/2)) -1))
(*.f64 (/.f64 1 (cbrt.f64 (pow.f64 (+.f64 N 1/2) 2))) (/.f64 1 (cbrt.f64 (+.f64 N 1/2))))
(/.f64 (*.f64 (/.f64 1 (cbrt.f64 (+.f64 N 1/2))) 1) (cbrt.f64 (pow.f64 (+.f64 N 1/2) 2)))
(/.f64 (/.f64 1 (cbrt.f64 (+.f64 N 1/2))) (cbrt.f64 (pow.f64 (+.f64 N 1/2) 2)))
(*.f64 (pow.f64 (sqrt.f64 (+.f64 N 1/2)) -1) (pow.f64 (sqrt.f64 (+.f64 N 1/2)) -1))
(pow.f64 (sqrt.f64 (+.f64 N 1/2)) -2)
(*.f64 (/.f64 1 (+.f64 (pow.f64 N 3) 1/8)) (-.f64 (fma.f64 N N 1/4) (*.f64 N 1/2)))
(/.f64 (+.f64 (fma.f64 N N 1/4) (*.f64 N -1/2)) (+.f64 (pow.f64 N 3) 1/8))
(*.f64 (/.f64 1 (fma.f64 N N -1/4)) (+.f64 N -1/2))
(*.f64 (+.f64 N -1/2) (/.f64 1 (fma.f64 N N -1/4)))
(/.f64 (+.f64 N -1/2) (fma.f64 N N -1/4))
(pow.f64 (+.f64 N 1/2) -1)
(/.f64 1 (+.f64 N 1/2))
(pow.f64 (/.f64 1 (+.f64 N 1/2)) 1)
(/.f64 1 (+.f64 N 1/2))
(pow.f64 (cbrt.f64 (/.f64 1 (+.f64 N 1/2))) 3)
(/.f64 1 (+.f64 N 1/2))
(pow.f64 (pow.f64 (/.f64 1 (+.f64 N 1/2)) 3) 1/3)
(/.f64 1 (+.f64 N 1/2))
(pow.f64 (pow.f64 (+.f64 N 1/2) -1/2) 2)
(/.f64 1 (+.f64 N 1/2))
(sqrt.f64 (pow.f64 (+.f64 N 1/2) -2))
(/.f64 1 (+.f64 N 1/2))
(log.f64 (exp.f64 (/.f64 1 (+.f64 N 1/2))))
(/.f64 1 (+.f64 N 1/2))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (+.f64 N 1/2)))))
(/.f64 1 (+.f64 N 1/2))
(cbrt.f64 (pow.f64 (/.f64 1 (+.f64 N 1/2)) 3))
(/.f64 1 (+.f64 N 1/2))
(expm1.f64 (log1p.f64 (/.f64 1 (+.f64 N 1/2))))
(/.f64 1 (+.f64 N 1/2))
(exp.f64 (neg.f64 (log.f64 (+.f64 N 1/2))))
(/.f64 1 (+.f64 N 1/2))
(exp.f64 (*.f64 (log.f64 (+.f64 N 1/2)) -1))
(/.f64 1 (+.f64 N 1/2))
(exp.f64 (*.f64 (neg.f64 (log.f64 (+.f64 N 1/2))) 1))
(/.f64 1 (+.f64 N 1/2))
(log1p.f64 (expm1.f64 (/.f64 1 (+.f64 N 1/2))))
(/.f64 1 (+.f64 N 1/2))

eval104.0ms (1.8%)

Compiler

Compiled 4389 to 3273 computations (25.4% saved)

prune37.0ms (0.6%)

Pruning

10 alts after pruning (3 fresh and 7 done)

PrunedKeptTotal
New2452247
Fresh112
Picked022
Done055
Total24610256
Accuracy
100.0%
Counts
256 → 10
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓54.5%
(fma.f64 (pow.f64 (cbrt.f64 (log1p.f64 N)) 2) (cbrt.f64 (log1p.f64 N)) (neg.f64 (log.f64 N)))
35.2%
(/.f64 (+.f64 N -1/2) (fma.f64 N N -1/4))
✓56.0%
(/.f64 1 (+.f64 N 1/2))
✓50.8%
(/.f64 1 N)
✓52.0%
(-.f64 N (log.f64 N))
✓29.2%
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 (+.f64 N -1/2) (*.f64 N N)))
✓50.6%
(neg.f64 (log.f64 N))
✓55.3%
(log.f64 (/.f64 (+.f64 N 1) N))
10.1%
2
4.2%
0
Compiler

Compiled 204 to 126 computations (38.2% saved)

regimes33.0ms (0.6%)

Counts
19 → 2
Calls
Call 1
Inputs
0
2
N
(/.f64 1 N)
(/.f64 1 (+.f64 N 1/2))
(/.f64 (+.f64 1 (/.f64 -1/2 N)) N)
(/.f64 (+.f64 N -1/2) (*.f64 N N))
(-.f64 (/.f64 1 N) (/.f64 (/.f64 1/2 N) N))
(/.f64 1 (/.f64 (*.f64 N N) (-.f64 N (/.f64 N (*.f64 N 2)))))
(/.f64 (-.f64 (*.f64 -1 (*.f64 N N)) (*.f64 (neg.f64 N) 1/2)) (*.f64 (neg.f64 N) (*.f64 N N)))
(neg.f64 (log.f64 N))
(-.f64 N (log.f64 N))
(log.f64 (/.f64 (+.f64 N 1) N))
(/.f64 (+.f64 N -1/2) (fma.f64 N N -1/4))
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 (+.f64 N -1/2) (*.f64 N N)))
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (+.f64 (/.f64 1 N) (/.f64 -1/2 (*.f64 N N))))
(-.f64 (log1p.f64 N) (log.f64 N))
(-.f64 (log.f64 (+.f64 N 1)) (log.f64 N))
(fma.f64 (pow.f64 (cbrt.f64 (log1p.f64 N)) 2) (cbrt.f64 (log1p.f64 N)) (neg.f64 (log.f64 N)))
Outputs
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (+.f64 (/.f64 1 N) (/.f64 -1/2 (*.f64 N N))))
(log.f64 (/.f64 (+.f64 N 1) N))
Calls

2 calls:

19.0ms
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 148 to 86 computations (41.9% saved)

regimes21.0ms (0.4%)

Counts
15 → 2
Calls
Call 1
Inputs
0
2
N
(/.f64 1 N)
(/.f64 1 (+.f64 N 1/2))
(/.f64 (+.f64 1 (/.f64 -1/2 N)) N)
(/.f64 (+.f64 N -1/2) (*.f64 N N))
(-.f64 (/.f64 1 N) (/.f64 (/.f64 1/2 N) N))
(/.f64 1 (/.f64 (*.f64 N N) (-.f64 N (/.f64 N (*.f64 N 2)))))
(/.f64 (-.f64 (*.f64 -1 (*.f64 N N)) (*.f64 (neg.f64 N) 1/2)) (*.f64 (neg.f64 N) (*.f64 N N)))
(neg.f64 (log.f64 N))
(-.f64 N (log.f64 N))
(log.f64 (/.f64 (+.f64 N 1) N))
(/.f64 (+.f64 N -1/2) (fma.f64 N N -1/4))
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 (+.f64 N -1/2) (*.f64 N N)))
Outputs
(log.f64 (/.f64 (+.f64 N 1) N))
(/.f64 1 (+.f64 N 1/2))
Calls

1 calls:

17.0ms
N
Results
AccuracySegmentsBranch
99.9%2N
Compiler

Compiled 101 to 60 computations (40.6% saved)

regimes17.0ms (0.3%)

Counts
12 → 2
Calls
Call 1
Inputs
0
2
N
(/.f64 1 N)
(/.f64 1 (+.f64 N 1/2))
(/.f64 (+.f64 1 (/.f64 -1/2 N)) N)
(/.f64 (+.f64 N -1/2) (*.f64 N N))
(-.f64 (/.f64 1 N) (/.f64 (/.f64 1/2 N) N))
(/.f64 1 (/.f64 (*.f64 N N) (-.f64 N (/.f64 N (*.f64 N 2)))))
(/.f64 (-.f64 (*.f64 -1 (*.f64 N N)) (*.f64 (neg.f64 N) 1/2)) (*.f64 (neg.f64 N) (*.f64 N N)))
(neg.f64 (log.f64 N))
(-.f64 N (log.f64 N))
Outputs
(-.f64 N (log.f64 N))
(/.f64 1 (+.f64 N 1/2))
Calls

1 calls:

14.0ms
N
Results
AccuracySegmentsBranch
98.6%2N
Compiler

Compiled 74 to 43 computations (41.9% saved)

regimes16.0ms (0.3%)

Counts
11 → 2
Calls
Call 1
Inputs
0
2
N
(/.f64 1 N)
(/.f64 1 (+.f64 N 1/2))
(/.f64 (+.f64 1 (/.f64 -1/2 N)) N)
(/.f64 (+.f64 N -1/2) (*.f64 N N))
(-.f64 (/.f64 1 N) (/.f64 (/.f64 1/2 N) N))
(/.f64 1 (/.f64 (*.f64 N N) (-.f64 N (/.f64 N (*.f64 N 2)))))
(/.f64 (-.f64 (*.f64 -1 (*.f64 N N)) (*.f64 (neg.f64 N) 1/2)) (*.f64 (neg.f64 N) (*.f64 N N)))
(neg.f64 (log.f64 N))
Outputs
(neg.f64 (log.f64 N))
(/.f64 1 (+.f64 N 1/2))
Calls

1 calls:

14.0ms
N
Results
AccuracySegmentsBranch
98.0%2N
Compiler

Compiled 70 to 42 computations (40% saved)

regimes9.0ms (0.1%)

Counts
10 → 1
Calls
Call 1
Inputs
0
2
N
(/.f64 1 N)
(/.f64 1 (+.f64 N 1/2))
(/.f64 (+.f64 1 (/.f64 -1/2 N)) N)
(/.f64 (+.f64 N -1/2) (*.f64 N N))
(-.f64 (/.f64 1 N) (/.f64 (/.f64 1/2 N) N))
(/.f64 1 (/.f64 (*.f64 N N) (-.f64 N (/.f64 N (*.f64 N 2)))))
(/.f64 (-.f64 (*.f64 -1 (*.f64 N N)) (*.f64 (neg.f64 N) 1/2)) (*.f64 (neg.f64 N) (*.f64 N N)))
Outputs
(/.f64 1 (+.f64 N 1/2))
Calls

1 calls:

6.0ms
N
Results
AccuracySegmentsBranch
56.0%1N
Compiler

Compiled 67 to 40 computations (40.3% saved)

regimes9.0ms (0.2%)

Counts
4 → 2
Calls
Call 1
Inputs
0
2
N
(/.f64 1 N)
Outputs
2
(/.f64 1 N)
Calls

1 calls:

8.0ms
N
Results
AccuracySegmentsBranch
55.3%2N
Compiler

Compiled 9 to 6 computations (33.3% saved)

regimes4.0ms (0.1%)

Counts
3 → 1
Calls
Call 1
Inputs
0
2
N
Outputs
2
Calls

1 calls:

4.0ms
N
Results
AccuracySegmentsBranch
10.1%1N
Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes3.0ms (0.1%)

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts
1 → 1
Calls
Call 1
Inputs
0
Outputs
0
Calls

1 calls:

3.0ms
N
Results
AccuracySegmentsBranch
4.2%1N
Compiler

Compiled 4 to 3 computations (25% saved)

bsearch0.0ms (0%)

Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
2.1942693173571115e-7
0.06000320334753573
Compiler

Compiled 12 to 9 computations (25% saved)

bsearch18.0ms (0.3%)

Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
18.0ms
16.17077686233405
4557325.229154429
Results
16.0ms144×body256valid
Compiler

Compiled 147 to 117 computations (20.4% saved)

bsearch14.0ms (0.2%)

Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
14.0ms
0.2007277598265158
16.17077686233405
Results
13.0ms112×body256valid
Compiler

Compiled 103 to 79 computations (23.3% saved)

bsearch14.0ms (0.2%)

Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
13.0ms
0.2007277598265158
16.17077686233405
Results
12.0ms112×body256valid
Compiler

Compiled 96 to 79 computations (17.7% saved)

bsearch14.0ms (0.2%)

Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
14.0ms
0.2007277598265158
16.17077686233405
Results
13.0ms112×body256valid
Compiler

Compiled 68 to 58 computations (14.7% saved)

simplify10.0ms (0.2%)

Algorithm
1×egg-herbie
Rules
14×+-commutative
6×sub-neg
2×1-exp
2×neg-mul-1
2×*-commutative
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
045224
155224
259224
360224
Stop Event
1×fuel
1×saturated
Calls
Call 1
Inputs
(if (<=.f64 (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N)) 944473296573929/2361183241434822606848) (+.f64 (/.f64 1/3 (pow.f64 N 3)) (+.f64 (/.f64 1 N) (/.f64 -1/2 (*.f64 N N)))) (log.f64 (/.f64 (+.f64 N 1) N)))
(if (<=.f64 N 106000) (log.f64 (/.f64 (+.f64 N 1) N)) (/.f64 1 (+.f64 N 1/2)))
(if (<=.f64 N 5404319552844595/9007199254740992) (-.f64 N (log.f64 N)) (/.f64 1 (+.f64 N 1/2)))
(if (<=.f64 N 607985949695017/2251799813685248) (neg.f64 (log.f64 N)) (/.f64 1 (+.f64 N 1/2)))
(/.f64 1 (+.f64 N 1/2))
(if (<=.f64 N 1/2) 2 (/.f64 1 N))
2
0
Outputs
(if (<=.f64 (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N)) 944473296573929/2361183241434822606848) (+.f64 (/.f64 1/3 (pow.f64 N 3)) (+.f64 (/.f64 1 N) (/.f64 -1/2 (*.f64 N N)))) (log.f64 (/.f64 (+.f64 N 1) N)))
(if (<=.f64 N 106000) (log.f64 (/.f64 (+.f64 N 1) N)) (/.f64 1 (+.f64 N 1/2)))
(if (<=.f64 N 5404319552844595/9007199254740992) (-.f64 N (log.f64 N)) (/.f64 1 (+.f64 N 1/2)))
(if (<=.f64 N 607985949695017/2251799813685248) (neg.f64 (log.f64 N)) (/.f64 1 (+.f64 N 1/2)))
(/.f64 1 (+.f64 N 1/2))
(if (<=.f64 N 1/2) 2 (/.f64 1 N))
2
0
Compiler

Compiled 94 to 72 computations (23.4% saved)

soundness1.2s (21.2%)

Rules
7864×fma-def
1682×div-sub
1682×div-sub
1682×div-sub
1682×div-sub
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01471
12553
24353
37753
413553
523153
642651
776351
8152151
9301251
10379551
11382951
12385351
13385351
14599351
15643351
16678551
17678551
18717651
19772051
20789051
21794651
01261407
13361319
211011313
354461309
0715
114415
2188715
0715
114415
2188715
074117248
1205015232
01261407
13361319
211011313
354461309
01573
134171
2514271
01261407
13361319
211011313
354461309
01261407
13361319
211011313
354461309
Stop Event
1×node limit
1×node limit
1×node limit
1×node limit
1×node limit
1×node limit
1×node limit
1×node limit
1×node limit
Compiler

Compiled 523 to 366 computations (30% saved)

end0.0ms (0%)

preprocess96.0ms (1.6%)

Compiler

Compiled 190 to 138 computations (27.4% saved)

Profiling

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