2log (problem 3.3.6)

Time bar (total: 11.3s)

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 (14.1%)

Results
724.0ms4893×body256valid
555.0ms2087×body1024valid
181.0ms1019×body512valid
106.0ms257×body2048valid
1.0ms12×body256invalid
Bogosity

preprocess539.0ms (4.8%)

Algorithm
1×egg-herbie
Rules
3682×fma-def
564×distribute-lft-out--
522×+-commutative
453×associate-+r+
398×associate-+r-
Problems
128×(-.f64 (log.f64 (+.f64 N 1)) (log.f64 N))
127×(log.f64 (+.f64 N 1))
1×No Errors
Iterations

Useful iterations: 6 (0.0ms)

IterNodesCost
01689
13071
24871
38071
414771
524971
653469
7111369
8201969
9334769
10370769
11373869
12376269
13376269
14585269
15652869
16688069
17688069
18740069
19758269
20772369
21777969
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 28 to 19 computations (32.1% 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
▶54.3%
(-.f64 (log1p.f64 N) (log.f64 N))
▶54.3%
(-.f64 (log1p.f64 N) (log.f64 N))
Compiler

Compiled 12 to 8 computations (33.3% saved)

localize46.0ms (0.4%)

Localize:

Found 1 expressions with local error:

NewAccuracyProgram
✓54.3%
(-.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))

rewrite195.0ms (1.7%)

Algorithm
1×batch-egg-rewrite
Rules
599×associate-*l*
351×*-un-lft-identity
312×frac-times
207×*-commutative
201×times-frac
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0921
19221
2117621
Stop Event
1×node limit
Counts
1 → 171
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)) (fma.f64 (neg.f64 (log.f64 N)) 1 (log.f64 N))))
(+.f64 (log1p.f64 N) (+.f64 (neg.f64 (log.f64 N)) (fma.f64 (neg.f64 (sqrt.f64 (log.f64 N))) (sqrt.f64 (log.f64 N)) (log.f64 N))))
(+.f64 (log1p.f64 N) (+.f64 (neg.f64 (log.f64 N)) (fma.f64 (neg.f64 (cbrt.f64 (log.f64 N))) (pow.f64 (cbrt.f64 (log.f64 N)) 2) (log.f64 N))))
(+.f64 (-.f64 (log1p.f64 N) (log.f64 N)) (fma.f64 (neg.f64 (log.f64 N)) 1 (log.f64 N)))
(+.f64 (-.f64 (log1p.f64 N) (log.f64 N)) (fma.f64 (neg.f64 (sqrt.f64 (log.f64 N))) (sqrt.f64 (log.f64 N)) (log.f64 N)))
(+.f64 (-.f64 (log1p.f64 N) (log.f64 N)) (fma.f64 (neg.f64 (cbrt.f64 (log.f64 N))) (pow.f64 (cbrt.f64 (log.f64 N)) 2) (log.f64 N)))
(+.f64 (-.f64 (log1p.f64 N) (log.f64 N)) (+.f64 (fma.f64 (neg.f64 (log.f64 N)) 1 (log.f64 N)) (fma.f64 (neg.f64 (log.f64 N)) 1 (log.f64 N))))
(+.f64 (-.f64 (log1p.f64 N) (log.f64 N)) (+.f64 (fma.f64 (neg.f64 (sqrt.f64 (log.f64 N))) (sqrt.f64 (log.f64 N)) (log.f64 N)) (fma.f64 (neg.f64 (log.f64 N)) 1 (log.f64 N))))
(+.f64 (-.f64 (log1p.f64 N) (log.f64 N)) (+.f64 (fma.f64 (neg.f64 (cbrt.f64 (log.f64 N))) (pow.f64 (cbrt.f64 (log.f64 N)) 2) (log.f64 N)) (fma.f64 (neg.f64 (log.f64 N)) 1 (log.f64 N))))
(+.f64 (-.f64 (log1p.f64 N) (log.f64 N)) (+.f64 (fma.f64 (neg.f64 (log.f64 N)) 1 (log.f64 N)) (fma.f64 (neg.f64 (sqrt.f64 (log.f64 N))) (sqrt.f64 (log.f64 N)) (log.f64 N))))
(+.f64 (-.f64 (log1p.f64 N) (log.f64 N)) (+.f64 (fma.f64 (neg.f64 (sqrt.f64 (log.f64 N))) (sqrt.f64 (log.f64 N)) (log.f64 N)) (fma.f64 (neg.f64 (sqrt.f64 (log.f64 N))) (sqrt.f64 (log.f64 N)) (log.f64 N))))
(+.f64 (-.f64 (log1p.f64 N) (log.f64 N)) (+.f64 (fma.f64 (neg.f64 (cbrt.f64 (log.f64 N))) (pow.f64 (cbrt.f64 (log.f64 N)) 2) (log.f64 N)) (fma.f64 (neg.f64 (sqrt.f64 (log.f64 N))) (sqrt.f64 (log.f64 N)) (log.f64 N))))
(+.f64 (-.f64 (log1p.f64 N) (log.f64 N)) (+.f64 (fma.f64 (neg.f64 (log.f64 N)) 1 (log.f64 N)) (fma.f64 (neg.f64 (cbrt.f64 (log.f64 N))) (pow.f64 (cbrt.f64 (log.f64 N)) 2) (log.f64 N))))
(+.f64 (-.f64 (log1p.f64 N) (log.f64 N)) (+.f64 (fma.f64 (neg.f64 (sqrt.f64 (log.f64 N))) (sqrt.f64 (log.f64 N)) (log.f64 N)) (fma.f64 (neg.f64 (cbrt.f64 (log.f64 N))) (pow.f64 (cbrt.f64 (log.f64 N)) 2) (log.f64 N))))
(+.f64 (-.f64 (log1p.f64 N) (log.f64 N)) (+.f64 (fma.f64 (neg.f64 (cbrt.f64 (log.f64 N))) (pow.f64 (cbrt.f64 (log.f64 N)) 2) (log.f64 N)) (fma.f64 (neg.f64 (cbrt.f64 (log.f64 N))) (pow.f64 (cbrt.f64 (log.f64 N)) 2) (log.f64 N))))
(+.f64 (-.f64 (log1p.f64 N) (log.f64 N)) (*.f64 (fma.f64 (neg.f64 (log.f64 N)) 1 (log.f64 N)) 1))
(+.f64 (-.f64 (log1p.f64 N) (log.f64 N)) (*.f64 (fma.f64 (neg.f64 (sqrt.f64 (log.f64 N))) (sqrt.f64 (log.f64 N)) (log.f64 N)) 1))
(+.f64 (-.f64 (log1p.f64 N) (log.f64 N)) (*.f64 (fma.f64 (neg.f64 (cbrt.f64 (log.f64 N))) (pow.f64 (cbrt.f64 (log.f64 N)) 2) (log.f64 N)) 1))
(+.f64 (neg.f64 (log.f64 N)) (log1p.f64 N))
(+.f64 (neg.f64 (log.f64 N)) (+.f64 (log1p.f64 N) (fma.f64 (neg.f64 (log.f64 N)) 1 (log.f64 N))))
(+.f64 (neg.f64 (log.f64 N)) (+.f64 (log1p.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)) (+.f64 (log1p.f64 N) (fma.f64 (neg.f64 (cbrt.f64 (log.f64 N))) (pow.f64 (cbrt.f64 (log.f64 N)) 2) (log.f64 N))))
(+.f64 (/.f64 (pow.f64 (log1p.f64 N) 2) (+.f64 (log1p.f64 N) (log.f64 N))) (neg.f64 (/.f64 (pow.f64 (log.f64 N) 2) (+.f64 (log1p.f64 N) (log.f64 N)))))
(+.f64 (/.f64 (pow.f64 (log1p.f64 N) 3) (+.f64 (pow.f64 (log1p.f64 N) 2) (*.f64 (log.f64 N) (+.f64 (log1p.f64 N) (log.f64 N))))) (neg.f64 (/.f64 (pow.f64 (log.f64 N) 3) (+.f64 (pow.f64 (log1p.f64 N) 2) (*.f64 (log.f64 N) (+.f64 (log1p.f64 N) (log.f64 N)))))))
(+.f64 (exp.f64 (log1p.f64 (-.f64 (log1p.f64 N) (log.f64 N)))) -1)
(+.f64 (fma.f64 (neg.f64 (log.f64 N)) 1 (log.f64 N)) (-.f64 (log1p.f64 N) (log.f64 N)))
(+.f64 (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 (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) (exp.f64 (log1p.f64 (log.f64 N)))) 1)
(*.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 1)
(*.f64 (-.f64 (pow.f64 (log1p.f64 N) 2) (pow.f64 (log.f64 N) 2)) (/.f64 1 (+.f64 (log1p.f64 N) (log.f64 N))))
(*.f64 (-.f64 (pow.f64 (log1p.f64 N) 2) (pow.f64 (log.f64 N) 2)) (*.f64 (/.f64 1 (+.f64 (log1p.f64 N) (log.f64 N))) 1))
(*.f64 (+.f64 (log1p.f64 N) (log.f64 N)) (*.f64 (-.f64 (log1p.f64 N) (log.f64 N)) (/.f64 1 (+.f64 (log1p.f64 N) (log.f64 N)))))
(*.f64 (+.f64 (log1p.f64 N) (log.f64 N)) (/.f64 (-.f64 (log1p.f64 N) (log.f64 N)) (+.f64 (log1p.f64 N) (log.f64 N))))
(*.f64 1 (-.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 (/.f64 1 (+.f64 (pow.f64 (log1p.f64 N) 2) (*.f64 (log.f64 N) (+.f64 (log1p.f64 N) (log.f64 N))))) 1))
(*.f64 (+.f64 (pow.f64 (log1p.f64 N) 2) (*.f64 (log.f64 N) (+.f64 (log1p.f64 N) (log.f64 N)))) (*.f64 (-.f64 (log1p.f64 N) (log.f64 N)) (/.f64 1 (+.f64 (pow.f64 (log1p.f64 N) 2) (*.f64 (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 (cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))) (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))) 2))
(*.f64 (cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))) (sqrt.f64 (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))) 4)))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))) 2) (cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))))
(*.f64 (+.f64 (sqrt.f64 (log.f64 N)) (sqrt.f64 (log1p.f64 N))) (-.f64 (sqrt.f64 (log1p.f64 N)) (sqrt.f64 (log.f64 N))))
(*.f64 (+.f64 (sqrt.f64 (log.f64 N)) (sqrt.f64 (log1p.f64 N))) (*.f64 (-.f64 (sqrt.f64 (log1p.f64 N)) (sqrt.f64 (log.f64 N))) 1))
(*.f64 (-.f64 (sqrt.f64 (log1p.f64 N)) (sqrt.f64 (log.f64 N))) (+.f64 (sqrt.f64 (log.f64 N)) (sqrt.f64 (log1p.f64 N))))
(*.f64 (/.f64 1 (+.f64 (log1p.f64 N) (log.f64 N))) (-.f64 (pow.f64 (log1p.f64 N) 2) (pow.f64 (log.f64 N) 2)))
(*.f64 (/.f64 1 (+.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 (neg.f64 (log.f64 N)) 3)) (/.f64 1 (+.f64 (pow.f64 (log1p.f64 N) 2) (*.f64 (neg.f64 (log.f64 N)) (-.f64 (neg.f64 (log.f64 N)) (log1p.f64 N))))))
(*.f64 (+.f64 (neg.f64 (pow.f64 (log1p.f64 N) 2)) (pow.f64 (log.f64 N) 2)) (/.f64 1 (neg.f64 (+.f64 (log1p.f64 N) (log.f64 N)))))
(*.f64 (neg.f64 (-.f64 (pow.f64 (log1p.f64 N) 3) (pow.f64 (log.f64 N) 3))) (/.f64 1 (neg.f64 (+.f64 (pow.f64 (log1p.f64 N) 2) (*.f64 (log.f64 N) (+.f64 (log1p.f64 N) (log.f64 N)))))))
(*.f64 (sqrt.f64 (sqrt.f64 (-.f64 (log1p.f64 N) (log.f64 N)))) (*.f64 (sqrt.f64 (sqrt.f64 (-.f64 (log1p.f64 N) (log.f64 N)))) (sqrt.f64 (-.f64 (log1p.f64 N) (log.f64 N)))))
(*.f64 (sqrt.f64 (sqrt.f64 (-.f64 (log1p.f64 N) (log.f64 N)))) (sqrt.f64 (sqrt.f64 (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 3))))
(*.f64 (sqrt.f64 (cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N)))) (*.f64 (sqrt.f64 (cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N)))) (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))) 2)))
(*.f64 (sqrt.f64 (-.f64 (pow.f64 (log1p.f64 N) 2) (pow.f64 (log.f64 N) 2))) (*.f64 (sqrt.f64 (-.f64 (pow.f64 (log1p.f64 N) 2) (pow.f64 (log.f64 N) 2))) (/.f64 1 (+.f64 (log1p.f64 N) (log.f64 N)))))
(*.f64 (sqrt.f64 (-.f64 (pow.f64 (log1p.f64 N) 3) (pow.f64 (log.f64 N) 3))) (*.f64 (sqrt.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 (cbrt.f64 (sqrt.f64 (-.f64 (log1p.f64 N) (log.f64 N)))) (*.f64 (cbrt.f64 (sqrt.f64 (-.f64 (log1p.f64 N) (log.f64 N)))) (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))) 2)))
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))) 2)) (*.f64 (cbrt.f64 (cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N)))) (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))) 2)))
(*.f64 (*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))) 2)) (cbrt.f64 (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))) 2))) (*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))) 2)) (cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N)))))
(*.f64 (*.f64 (cbrt.f64 (-.f64 (pow.f64 (log1p.f64 N) 3) (pow.f64 (log.f64 N) 3))) (cbrt.f64 (-.f64 (pow.f64 (log1p.f64 N) 3) (pow.f64 (log.f64 N) 3)))) (*.f64 (cbrt.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 (cbrt.f64 (-.f64 (pow.f64 (log1p.f64 N) 2) (pow.f64 (log.f64 N) 2))) (cbrt.f64 (-.f64 (pow.f64 (log1p.f64 N) 2) (pow.f64 (log.f64 N) 2)))) (*.f64 (cbrt.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 (cbrt.f64 (cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N)))) (cbrt.f64 (cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))))) (*.f64 (cbrt.f64 (cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N)))) (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))) 2)))
(*.f64 (/.f64 (+.f64 (pow.f64 (log1p.f64 N) 2) (*.f64 (log.f64 N) (+.f64 (log1p.f64 N) (log.f64 N)))) 1) (/.f64 (-.f64 (log1p.f64 N) (log.f64 N)) (+.f64 (pow.f64 (log1p.f64 N) 2) (*.f64 (log.f64 N) (+.f64 (log1p.f64 N) (log.f64 N))))))
(*.f64 (/.f64 1 (sqrt.f64 (+.f64 (log1p.f64 N) (log.f64 N)))) (/.f64 (-.f64 (pow.f64 (log1p.f64 N) 2) (pow.f64 (log.f64 N) 2)) (sqrt.f64 (+.f64 (log1p.f64 N) (log.f64 N)))))
(*.f64 (/.f64 1 (*.f64 (cbrt.f64 (+.f64 (log1p.f64 N) (log.f64 N))) (cbrt.f64 (+.f64 (log1p.f64 N) (log.f64 N))))) (/.f64 (-.f64 (pow.f64 (log1p.f64 N) 2) (pow.f64 (log.f64 N) 2)) (cbrt.f64 (+.f64 (log1p.f64 N) (log.f64 N)))))
(*.f64 (/.f64 1 (sqrt.f64 (+.f64 (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)) (sqrt.f64 (+.f64 (pow.f64 (log1p.f64 N) 2) (*.f64 (log.f64 N) (+.f64 (log1p.f64 N) (log.f64 N)))))))
(*.f64 (/.f64 1 (*.f64 (cbrt.f64 (+.f64 (pow.f64 (log1p.f64 N) 2) (*.f64 (log.f64 N) (+.f64 (log1p.f64 N) (log.f64 N))))) (cbrt.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)) (cbrt.f64 (+.f64 (pow.f64 (log1p.f64 N) 2) (*.f64 (log.f64 N) (+.f64 (log1p.f64 N) (log.f64 N)))))))
(*.f64 (/.f64 (-.f64 (pow.f64 (log1p.f64 N) 2) (pow.f64 (log.f64 N) 2)) (-.f64 (pow.f64 (log1p.f64 N) 2) (pow.f64 (log.f64 N) 2))) (-.f64 (log1p.f64 N) (log.f64 N)))
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(/.f64 (*.f64 (sqrt.f64 (-.f64 (pow.f64 (log1p.f64 N) 3) (pow.f64 (log.f64 N) 3))) (sqrt.f64 (-.f64 (pow.f64 (log1p.f64 N) 2) (pow.f64 (log.f64 N) 2)))) (*.f64 (sqrt.f64 (+.f64 (pow.f64 (log1p.f64 N) 2) (*.f64 (log.f64 N) (+.f64 (log1p.f64 N) (log.f64 N))))) (sqrt.f64 (+.f64 (log1p.f64 N) (log.f64 N)))))
(/.f64 (-.f64 (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 2) (*.f64 (fma.f64 (neg.f64 (log.f64 N)) 1 (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 (log.f64 N)) 1 (log.f64 N))))
(/.f64 (-.f64 (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 2) (*.f64 (fma.f64 (neg.f64 (sqrt.f64 (log.f64 N))) (sqrt.f64 (log.f64 N)) (log.f64 N)) (fma.f64 (neg.f64 (sqrt.f64 (log.f64 N))) (sqrt.f64 (log.f64 N)) (log.f64 N)))) (-.f64 (-.f64 (log1p.f64 N) (log.f64 N)) (fma.f64 (neg.f64 (sqrt.f64 (log.f64 N))) (sqrt.f64 (log.f64 N)) (log.f64 N))))
(/.f64 (-.f64 (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 2) (*.f64 (fma.f64 (neg.f64 (cbrt.f64 (log.f64 N))) (pow.f64 (cbrt.f64 (log.f64 N)) 2) (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 (cbrt.f64 (log.f64 N))) (pow.f64 (cbrt.f64 (log.f64 N)) 2) (log.f64 N))))
(/.f64 (-.f64 (pow.f64 (log.f64 N) 2) (pow.f64 (log1p.f64 N) 2)) (-.f64 (neg.f64 (log.f64 N)) (log1p.f64 N)))
(/.f64 (-.f64 (*.f64 (/.f64 (pow.f64 (log1p.f64 N) 2) (+.f64 (log1p.f64 N) (log.f64 N))) (/.f64 (pow.f64 (log1p.f64 N) 2) (+.f64 (log1p.f64 N) (log.f64 N)))) (*.f64 (/.f64 (pow.f64 (log.f64 N) 2) (+.f64 (log1p.f64 N) (log.f64 N))) (/.f64 (pow.f64 (log.f64 N) 2) (+.f64 (log1p.f64 N) (log.f64 N))))) (+.f64 (/.f64 (pow.f64 (log1p.f64 N) 2) (+.f64 (log1p.f64 N) (log.f64 N))) (/.f64 (pow.f64 (log.f64 N) 2) (+.f64 (log1p.f64 N) (log.f64 N)))))
(/.f64 (-.f64 (*.f64 (/.f64 (pow.f64 (log1p.f64 N) 3) (+.f64 (pow.f64 (log1p.f64 N) 2) (*.f64 (log.f64 N) (+.f64 (log1p.f64 N) (log.f64 N))))) (/.f64 (pow.f64 (log1p.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 (log.f64 N) 3) (+.f64 (pow.f64 (log1p.f64 N) 2) (*.f64 (log.f64 N) (+.f64 (log1p.f64 N) (log.f64 N))))) (/.f64 (pow.f64 (log.f64 N) 3) (+.f64 (pow.f64 (log1p.f64 N) 2) (*.f64 (log.f64 N) (+.f64 (log1p.f64 N) (log.f64 N))))))) (+.f64 (/.f64 (pow.f64 (log1p.f64 N) 3) (+.f64 (pow.f64 (log1p.f64 N) 2) (*.f64 (log.f64 N) (+.f64 (log1p.f64 N) (log.f64 N))))) (/.f64 (pow.f64 (log.f64 N) 3) (+.f64 (pow.f64 (log1p.f64 N) 2) (*.f64 (log.f64 N) (+.f64 (log1p.f64 N) (log.f64 N)))))))
(/.f64 (-.f64 (*.f64 (exp.f64 (log1p.f64 (-.f64 (log1p.f64 N) (log.f64 N)))) (exp.f64 (log1p.f64 (-.f64 (log1p.f64 N) (log.f64 N))))) 1) (+.f64 (exp.f64 (log1p.f64 (-.f64 (log1p.f64 N) (log.f64 N)))) 1))
(/.f64 (+.f64 (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 3) (pow.f64 (fma.f64 (neg.f64 (log.f64 N)) 1 (log.f64 N)) 3)) (+.f64 (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 2) (-.f64 (*.f64 (fma.f64 (neg.f64 (log.f64 N)) 1 (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 (log.f64 N)) 1 (log.f64 N))))))
(/.f64 (+.f64 (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 3) (pow.f64 (fma.f64 (neg.f64 (sqrt.f64 (log.f64 N))) (sqrt.f64 (log.f64 N)) (log.f64 N)) 3)) (+.f64 (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 2) (-.f64 (*.f64 (fma.f64 (neg.f64 (sqrt.f64 (log.f64 N))) (sqrt.f64 (log.f64 N)) (log.f64 N)) (fma.f64 (neg.f64 (sqrt.f64 (log.f64 N))) (sqrt.f64 (log.f64 N)) (log.f64 N))) (*.f64 (-.f64 (log1p.f64 N) (log.f64 N)) (fma.f64 (neg.f64 (sqrt.f64 (log.f64 N))) (sqrt.f64 (log.f64 N)) (log.f64 N))))))
(/.f64 (+.f64 (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 3) (pow.f64 (fma.f64 (neg.f64 (cbrt.f64 (log.f64 N))) (pow.f64 (cbrt.f64 (log.f64 N)) 2) (log.f64 N)) 3)) (+.f64 (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 2) (-.f64 (*.f64 (fma.f64 (neg.f64 (cbrt.f64 (log.f64 N))) (pow.f64 (cbrt.f64 (log.f64 N)) 2) (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 (cbrt.f64 (log.f64 N))) (pow.f64 (cbrt.f64 (log.f64 N)) 2) (log.f64 N))))))
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (log1p.f64 N) 2) (+.f64 (log1p.f64 N) (log.f64 N))) 3) (pow.f64 (/.f64 (pow.f64 (log.f64 N) 2) (+.f64 (log1p.f64 N) (log.f64 N))) 3)) (+.f64 (*.f64 (/.f64 (pow.f64 (log1p.f64 N) 2) (+.f64 (log1p.f64 N) (log.f64 N))) (/.f64 (pow.f64 (log1p.f64 N) 2) (+.f64 (log1p.f64 N) (log.f64 N)))) (+.f64 (*.f64 (/.f64 (pow.f64 (log.f64 N) 2) (+.f64 (log1p.f64 N) (log.f64 N))) (/.f64 (pow.f64 (log.f64 N) 2) (+.f64 (log1p.f64 N) (log.f64 N)))) (*.f64 (/.f64 (pow.f64 (log1p.f64 N) 2) (+.f64 (log1p.f64 N) (log.f64 N))) (/.f64 (pow.f64 (log.f64 N) 2) (+.f64 (log1p.f64 N) (log.f64 N)))))))
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (log1p.f64 N) 3) (+.f64 (pow.f64 (log1p.f64 N) 2) (*.f64 (log.f64 N) (+.f64 (log1p.f64 N) (log.f64 N))))) 3) (pow.f64 (/.f64 (pow.f64 (log.f64 N) 3) (+.f64 (pow.f64 (log1p.f64 N) 2) (*.f64 (log.f64 N) (+.f64 (log1p.f64 N) (log.f64 N))))) 3)) (+.f64 (*.f64 (/.f64 (pow.f64 (log1p.f64 N) 3) (+.f64 (pow.f64 (log1p.f64 N) 2) (*.f64 (log.f64 N) (+.f64 (log1p.f64 N) (log.f64 N))))) (/.f64 (pow.f64 (log1p.f64 N) 3) (+.f64 (pow.f64 (log1p.f64 N) 2) (*.f64 (log.f64 N) (+.f64 (log1p.f64 N) (log.f64 N)))))) (+.f64 (*.f64 (/.f64 (pow.f64 (log.f64 N) 3) (+.f64 (pow.f64 (log1p.f64 N) 2) (*.f64 (log.f64 N) (+.f64 (log1p.f64 N) (log.f64 N))))) (/.f64 (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) (+.f64 (pow.f64 (log1p.f64 N) 2) (*.f64 (log.f64 N) (+.f64 (log1p.f64 N) (log.f64 N))))) (/.f64 (pow.f64 (log.f64 N) 3) (+.f64 (pow.f64 (log1p.f64 N) 2) (*.f64 (log.f64 N) (+.f64 (log1p.f64 N) (log.f64 N)))))))))
(/.f64 (-.f64 (pow.f64 (exp.f64 (log1p.f64 (-.f64 (log1p.f64 N) (log.f64 N)))) 3) 1) (+.f64 (*.f64 (exp.f64 (log1p.f64 (-.f64 (log1p.f64 N) (log.f64 N)))) (exp.f64 (log1p.f64 (-.f64 (log1p.f64 N) (log.f64 N))))) (+.f64 1 (*.f64 (exp.f64 (log1p.f64 (-.f64 (log1p.f64 N) (log.f64 N)))) 1))))
(/.f64 (-.f64 (*.f64 (pow.f64 (log1p.f64 N) 2) (+.f64 (log1p.f64 N) (log.f64 N))) (*.f64 (+.f64 (log1p.f64 N) (log.f64 N)) (pow.f64 (log.f64 N) 2))) (pow.f64 (+.f64 (log1p.f64 N) (log.f64 N)) 2))
(/.f64 (-.f64 (*.f64 (pow.f64 (log1p.f64 N) 3) (+.f64 (pow.f64 (log1p.f64 N) 2) (*.f64 (log.f64 N) (+.f64 (log1p.f64 N) (log.f64 N))))) (*.f64 (+.f64 (pow.f64 (log1p.f64 N) 2) (*.f64 (log.f64 N) (+.f64 (log1p.f64 N) (log.f64 N)))) (pow.f64 (log.f64 N) 3))) (pow.f64 (+.f64 (pow.f64 (log1p.f64 N) 2) (*.f64 (log.f64 N) (+.f64 (log1p.f64 N) (log.f64 N)))) 2))
(/.f64 (*.f64 (-.f64 (pow.f64 (log1p.f64 N) 6) (pow.f64 (log.f64 N) 6)) 1) (*.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 (-.f64 (pow.f64 (pow.f64 (log1p.f64 N) 3) 3) (pow.f64 (pow.f64 (log.f64 N) 3) 3)) 1) (*.f64 (+.f64 (pow.f64 (log1p.f64 N) 6) (+.f64 (pow.f64 (log.f64 N) 6) (*.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 (-.f64 (pow.f64 (log1p.f64 N) 4) (pow.f64 (log.f64 N) 4)) 1) (*.f64 (+.f64 (pow.f64 (log1p.f64 N) 2) (pow.f64 (log.f64 N) 2)) (+.f64 (log1p.f64 N) (log.f64 N))))
(/.f64 (*.f64 (-.f64 (pow.f64 (pow.f64 (log1p.f64 N) 2) 3) (pow.f64 (pow.f64 (log.f64 N) 2) 3)) 1) (*.f64 (+.f64 (pow.f64 (log1p.f64 N) 4) (+.f64 (pow.f64 (log.f64 N) 4) (pow.f64 (*.f64 (log1p.f64 N) (log.f64 N)) 2))) (+.f64 (log1p.f64 N) (log.f64 N))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (log1p.f64 N) 3) (pow.f64 (neg.f64 (log.f64 N)) 3))) (neg.f64 (+.f64 (pow.f64 (log1p.f64 N) 2) (*.f64 (neg.f64 (log.f64 N)) (-.f64 (neg.f64 (log.f64 N)) (log1p.f64 N))))))
(/.f64 (neg.f64 (+.f64 (neg.f64 (pow.f64 (log1p.f64 N) 2)) (pow.f64 (log.f64 N) 2))) (neg.f64 (neg.f64 (+.f64 (log1p.f64 N) (log.f64 N)))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 (log1p.f64 N) 3) (pow.f64 (log.f64 N) 3)))) (neg.f64 (neg.f64 (+.f64 (pow.f64 (log1p.f64 N) 2) (*.f64 (log.f64 N) (+.f64 (log1p.f64 N) (log.f64 N)))))))
(pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 1)
(pow.f64 (sqrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))) 2)
(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)
(neg.f64 (/.f64 (-.f64 (pow.f64 (log1p.f64 N) 2) (pow.f64 (log.f64 N) 2)) (neg.f64 (+.f64 (log1p.f64 N) (log.f64 N)))))
(neg.f64 (/.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)))))))
(sqrt.f64 (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 2))
(fabs.f64 (-.f64 (log1p.f64 N) (log.f64 N)))
(log.f64 (/.f64 (+.f64 N 1) N))
(log.f64 (+.f64 1 (+.f64 (/.f64 (+.f64 N 1) N) -1)))
(cbrt.f64 (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 3))
(expm1.f64 (log1p.f64 (-.f64 (log1p.f64 N) (log.f64 N))))
(exp.f64 (log.f64 (-.f64 (log1p.f64 N) (log.f64 N))))
(log1p.f64 (+.f64 (/.f64 (+.f64 N 1) N) -1))
(fma.f64 1 (log1p.f64 N) (neg.f64 (log.f64 N)))
(fma.f64 (sqrt.f64 (log1p.f64 N)) (sqrt.f64 (log1p.f64 N)) (neg.f64 (log.f64 N)))
(fma.f64 (pow.f64 (cbrt.f64 (log1p.f64 N)) 2) (cbrt.f64 (log1p.f64 N)) (neg.f64 (log.f64 N)))

simplify179.0ms (1.6%)

Algorithm
1×egg-herbie
Rules
433×associate-+r-
417×associate-*r*
403×associate-/l*
318×fma-def
299×associate-*l*
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
052714283
1163413709
2768913709
Stop Event
1×node limit
Counts
183 → 267
Calls
Call 1
Inputs
(*.f64 -1 (log.f64 N))
(+.f64 N (*.f64 -1 (log.f64 N)))
(+.f64 N (+.f64 (*.f64 -1 (log.f64 N)) (*.f64 -1/2 (pow.f64 N 2))))
(+.f64 N (+.f64 (*.f64 -1 (log.f64 N)) (+.f64 (*.f64 -1/2 (pow.f64 N 2)) (*.f64 1/3 (pow.f64 N 3)))))
(/.f64 1 N)
(-.f64 (/.f64 1 N) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 N 3))) (/.f64 1 N)) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 N 3))) (/.f64 1 N)) (+.f64 (*.f64 1/4 (/.f64 1 (pow.f64 N 4))) (*.f64 1/2 (/.f64 1 (pow.f64 N 2)))))
(/.f64 1 N)
(-.f64 (/.f64 1 N) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 N 3))) (/.f64 1 N)) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 N 3))) (/.f64 1 N)) (+.f64 (*.f64 1/4 (/.f64 1 (pow.f64 N 4))) (*.f64 1/2 (/.f64 1 (pow.f64 N 2)))))
(+.f64 (log1p.f64 N) (neg.f64 (log.f64 N)))
(+.f64 (log1p.f64 N) (+.f64 (neg.f64 (log.f64 N)) (fma.f64 (neg.f64 (log.f64 N)) 1 (log.f64 N))))
(+.f64 (log1p.f64 N) (+.f64 (neg.f64 (log.f64 N)) (fma.f64 (neg.f64 (sqrt.f64 (log.f64 N))) (sqrt.f64 (log.f64 N)) (log.f64 N))))
(+.f64 (log1p.f64 N) (+.f64 (neg.f64 (log.f64 N)) (fma.f64 (neg.f64 (cbrt.f64 (log.f64 N))) (pow.f64 (cbrt.f64 (log.f64 N)) 2) (log.f64 N))))
(+.f64 (-.f64 (log1p.f64 N) (log.f64 N)) (fma.f64 (neg.f64 (log.f64 N)) 1 (log.f64 N)))
(+.f64 (-.f64 (log1p.f64 N) (log.f64 N)) (fma.f64 (neg.f64 (sqrt.f64 (log.f64 N))) (sqrt.f64 (log.f64 N)) (log.f64 N)))
(+.f64 (-.f64 (log1p.f64 N) (log.f64 N)) (fma.f64 (neg.f64 (cbrt.f64 (log.f64 N))) (pow.f64 (cbrt.f64 (log.f64 N)) 2) (log.f64 N)))
(+.f64 (-.f64 (log1p.f64 N) (log.f64 N)) (+.f64 (fma.f64 (neg.f64 (log.f64 N)) 1 (log.f64 N)) (fma.f64 (neg.f64 (log.f64 N)) 1 (log.f64 N))))
(+.f64 (-.f64 (log1p.f64 N) (log.f64 N)) (+.f64 (fma.f64 (neg.f64 (sqrt.f64 (log.f64 N))) (sqrt.f64 (log.f64 N)) (log.f64 N)) (fma.f64 (neg.f64 (log.f64 N)) 1 (log.f64 N))))
(+.f64 (-.f64 (log1p.f64 N) (log.f64 N)) (+.f64 (fma.f64 (neg.f64 (cbrt.f64 (log.f64 N))) (pow.f64 (cbrt.f64 (log.f64 N)) 2) (log.f64 N)) (fma.f64 (neg.f64 (log.f64 N)) 1 (log.f64 N))))
(+.f64 (-.f64 (log1p.f64 N) (log.f64 N)) (+.f64 (fma.f64 (neg.f64 (log.f64 N)) 1 (log.f64 N)) (fma.f64 (neg.f64 (sqrt.f64 (log.f64 N))) (sqrt.f64 (log.f64 N)) (log.f64 N))))
(+.f64 (-.f64 (log1p.f64 N) (log.f64 N)) (+.f64 (fma.f64 (neg.f64 (sqrt.f64 (log.f64 N))) (sqrt.f64 (log.f64 N)) (log.f64 N)) (fma.f64 (neg.f64 (sqrt.f64 (log.f64 N))) (sqrt.f64 (log.f64 N)) (log.f64 N))))
(+.f64 (-.f64 (log1p.f64 N) (log.f64 N)) (+.f64 (fma.f64 (neg.f64 (cbrt.f64 (log.f64 N))) (pow.f64 (cbrt.f64 (log.f64 N)) 2) (log.f64 N)) (fma.f64 (neg.f64 (sqrt.f64 (log.f64 N))) (sqrt.f64 (log.f64 N)) (log.f64 N))))
(+.f64 (-.f64 (log1p.f64 N) (log.f64 N)) (+.f64 (fma.f64 (neg.f64 (log.f64 N)) 1 (log.f64 N)) (fma.f64 (neg.f64 (cbrt.f64 (log.f64 N))) (pow.f64 (cbrt.f64 (log.f64 N)) 2) (log.f64 N))))
(+.f64 (-.f64 (log1p.f64 N) (log.f64 N)) (+.f64 (fma.f64 (neg.f64 (sqrt.f64 (log.f64 N))) (sqrt.f64 (log.f64 N)) (log.f64 N)) (fma.f64 (neg.f64 (cbrt.f64 (log.f64 N))) (pow.f64 (cbrt.f64 (log.f64 N)) 2) (log.f64 N))))
(+.f64 (-.f64 (log1p.f64 N) (log.f64 N)) (+.f64 (fma.f64 (neg.f64 (cbrt.f64 (log.f64 N))) (pow.f64 (cbrt.f64 (log.f64 N)) 2) (log.f64 N)) (fma.f64 (neg.f64 (cbrt.f64 (log.f64 N))) (pow.f64 (cbrt.f64 (log.f64 N)) 2) (log.f64 N))))
(+.f64 (-.f64 (log1p.f64 N) (log.f64 N)) (*.f64 (fma.f64 (neg.f64 (log.f64 N)) 1 (log.f64 N)) 1))
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(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (log1p.f64 N) 3) (+.f64 (pow.f64 (log1p.f64 N) 2) (*.f64 (log.f64 N) (+.f64 (log1p.f64 N) (log.f64 N))))) 3) (pow.f64 (/.f64 (pow.f64 (log.f64 N) 3) (+.f64 (pow.f64 (log1p.f64 N) 2) (*.f64 (log.f64 N) (+.f64 (log1p.f64 N) (log.f64 N))))) 3)) (+.f64 (*.f64 (/.f64 (pow.f64 (log1p.f64 N) 3) (+.f64 (pow.f64 (log1p.f64 N) 2) (*.f64 (log.f64 N) (+.f64 (log1p.f64 N) (log.f64 N))))) (/.f64 (pow.f64 (log1p.f64 N) 3) (+.f64 (pow.f64 (log1p.f64 N) 2) (*.f64 (log.f64 N) (+.f64 (log1p.f64 N) (log.f64 N)))))) (+.f64 (*.f64 (/.f64 (pow.f64 (log.f64 N) 3) (+.f64 (pow.f64 (log1p.f64 N) 2) (*.f64 (log.f64 N) (+.f64 (log1p.f64 N) (log.f64 N))))) (/.f64 (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) (+.f64 (pow.f64 (log1p.f64 N) 2) (*.f64 (log.f64 N) (+.f64 (log1p.f64 N) (log.f64 N))))) (/.f64 (pow.f64 (log.f64 N) 3) (+.f64 (pow.f64 (log1p.f64 N) 2) (*.f64 (log.f64 N) (+.f64 (log1p.f64 N) (log.f64 N)))))))))
(/.f64 (-.f64 (pow.f64 (exp.f64 (log1p.f64 (-.f64 (log1p.f64 N) (log.f64 N)))) 3) 1) (+.f64 (*.f64 (exp.f64 (log1p.f64 (-.f64 (log1p.f64 N) (log.f64 N)))) (exp.f64 (log1p.f64 (-.f64 (log1p.f64 N) (log.f64 N))))) (+.f64 1 (*.f64 (exp.f64 (log1p.f64 (-.f64 (log1p.f64 N) (log.f64 N)))) 1))))
(/.f64 (-.f64 (*.f64 (pow.f64 (log1p.f64 N) 2) (+.f64 (log1p.f64 N) (log.f64 N))) (*.f64 (+.f64 (log1p.f64 N) (log.f64 N)) (pow.f64 (log.f64 N) 2))) (pow.f64 (+.f64 (log1p.f64 N) (log.f64 N)) 2))
(/.f64 (-.f64 (*.f64 (pow.f64 (log1p.f64 N) 3) (+.f64 (pow.f64 (log1p.f64 N) 2) (*.f64 (log.f64 N) (+.f64 (log1p.f64 N) (log.f64 N))))) (*.f64 (+.f64 (pow.f64 (log1p.f64 N) 2) (*.f64 (log.f64 N) (+.f64 (log1p.f64 N) (log.f64 N)))) (pow.f64 (log.f64 N) 3))) (pow.f64 (+.f64 (pow.f64 (log1p.f64 N) 2) (*.f64 (log.f64 N) (+.f64 (log1p.f64 N) (log.f64 N)))) 2))
(/.f64 (*.f64 (-.f64 (pow.f64 (log1p.f64 N) 6) (pow.f64 (log.f64 N) 6)) 1) (*.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 (-.f64 (pow.f64 (pow.f64 (log1p.f64 N) 3) 3) (pow.f64 (pow.f64 (log.f64 N) 3) 3)) 1) (*.f64 (+.f64 (pow.f64 (log1p.f64 N) 6) (+.f64 (pow.f64 (log.f64 N) 6) (*.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 (-.f64 (pow.f64 (log1p.f64 N) 4) (pow.f64 (log.f64 N) 4)) 1) (*.f64 (+.f64 (pow.f64 (log1p.f64 N) 2) (pow.f64 (log.f64 N) 2)) (+.f64 (log1p.f64 N) (log.f64 N))))
(/.f64 (*.f64 (-.f64 (pow.f64 (pow.f64 (log1p.f64 N) 2) 3) (pow.f64 (pow.f64 (log.f64 N) 2) 3)) 1) (*.f64 (+.f64 (pow.f64 (log1p.f64 N) 4) (+.f64 (pow.f64 (log.f64 N) 4) (pow.f64 (*.f64 (log1p.f64 N) (log.f64 N)) 2))) (+.f64 (log1p.f64 N) (log.f64 N))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (log1p.f64 N) 3) (pow.f64 (neg.f64 (log.f64 N)) 3))) (neg.f64 (+.f64 (pow.f64 (log1p.f64 N) 2) (*.f64 (neg.f64 (log.f64 N)) (-.f64 (neg.f64 (log.f64 N)) (log1p.f64 N))))))
(/.f64 (neg.f64 (+.f64 (neg.f64 (pow.f64 (log1p.f64 N) 2)) (pow.f64 (log.f64 N) 2))) (neg.f64 (neg.f64 (+.f64 (log1p.f64 N) (log.f64 N)))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 (log1p.f64 N) 3) (pow.f64 (log.f64 N) 3)))) (neg.f64 (neg.f64 (+.f64 (pow.f64 (log1p.f64 N) 2) (*.f64 (log.f64 N) (+.f64 (log1p.f64 N) (log.f64 N)))))))
(pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 1)
(pow.f64 (sqrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))) 2)
(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)
(neg.f64 (/.f64 (-.f64 (pow.f64 (log1p.f64 N) 2) (pow.f64 (log.f64 N) 2)) (neg.f64 (+.f64 (log1p.f64 N) (log.f64 N)))))
(neg.f64 (/.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)))))))
(sqrt.f64 (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 2))
(fabs.f64 (-.f64 (log1p.f64 N) (log.f64 N)))
(log.f64 (/.f64 (+.f64 N 1) N))
(log.f64 (+.f64 1 (+.f64 (/.f64 (+.f64 N 1) N) -1)))
(cbrt.f64 (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 3))
(expm1.f64 (log1p.f64 (-.f64 (log1p.f64 N) (log.f64 N))))
(exp.f64 (log.f64 (-.f64 (log1p.f64 N) (log.f64 N))))
(log1p.f64 (+.f64 (/.f64 (+.f64 N 1) N) -1))
(fma.f64 1 (log1p.f64 N) (neg.f64 (log.f64 N)))
(fma.f64 (sqrt.f64 (log1p.f64 N)) (sqrt.f64 (log1p.f64 N)) (neg.f64 (log.f64 N)))
(fma.f64 (pow.f64 (cbrt.f64 (log1p.f64 N)) 2) (cbrt.f64 (log1p.f64 N)) (neg.f64 (log.f64 N)))
Outputs
(*.f64 -1 (log.f64 N))
(neg.f64 (log.f64 N))
(+.f64 N (*.f64 -1 (log.f64 N)))
(+.f64 N (neg.f64 (log.f64 N)))
(-.f64 N (log.f64 N))
(+.f64 N (+.f64 (*.f64 -1 (log.f64 N)) (*.f64 -1/2 (pow.f64 N 2))))
(+.f64 N (fma.f64 -1 (log.f64 N) (*.f64 -1/2 (pow.f64 N 2))))
(+.f64 N (fma.f64 -1/2 (pow.f64 N 2) (neg.f64 (log.f64 N))))
(+.f64 N (+.f64 (*.f64 -1 (log.f64 N)) (+.f64 (*.f64 -1/2 (pow.f64 N 2)) (*.f64 1/3 (pow.f64 N 3)))))
(+.f64 N (fma.f64 -1 (log.f64 N) (fma.f64 -1/2 (pow.f64 N 2) (*.f64 1/3 (pow.f64 N 3)))))
(+.f64 (-.f64 N (log.f64 N)) (fma.f64 -1/2 (pow.f64 N 2) (*.f64 1/3 (pow.f64 N 3))))
(/.f64 1 N)
(-.f64 (/.f64 1 N) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (/.f64 1 N) (/.f64 1/2 (pow.f64 N 2)))
(+.f64 (/.f64 1 N) (/.f64 -1/2 (pow.f64 N 2)))
(-.f64 (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 N 3))) (/.f64 1 N)) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (-.f64 (/.f64 1 N) (/.f64 1/2 (pow.f64 N 2))))
(+.f64 (+.f64 (/.f64 1 N) (/.f64 -1/2 (pow.f64 N 2))) (/.f64 1/3 (pow.f64 N 3)))
(-.f64 (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 N 3))) (/.f64 1 N)) (+.f64 (*.f64 1/4 (/.f64 1 (pow.f64 N 4))) (*.f64 1/2 (/.f64 1 (pow.f64 N 2)))))
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (-.f64 (/.f64 1 N) (+.f64 (/.f64 1/2 (pow.f64 N 2)) (/.f64 1/4 (pow.f64 N 4)))))
(+.f64 (/.f64 1 N) (-.f64 (/.f64 1/3 (pow.f64 N 3)) (+.f64 (/.f64 1/2 (pow.f64 N 2)) (/.f64 1/4 (pow.f64 N 4)))))
(/.f64 1 N)
(-.f64 (/.f64 1 N) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (/.f64 1 N) (/.f64 1/2 (pow.f64 N 2)))
(+.f64 (/.f64 1 N) (/.f64 -1/2 (pow.f64 N 2)))
(-.f64 (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 N 3))) (/.f64 1 N)) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (-.f64 (/.f64 1 N) (/.f64 1/2 (pow.f64 N 2))))
(+.f64 (+.f64 (/.f64 1 N) (/.f64 -1/2 (pow.f64 N 2))) (/.f64 1/3 (pow.f64 N 3)))
(-.f64 (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 N 3))) (/.f64 1 N)) (+.f64 (*.f64 1/4 (/.f64 1 (pow.f64 N 4))) (*.f64 1/2 (/.f64 1 (pow.f64 N 2)))))
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (-.f64 (/.f64 1 N) (+.f64 (/.f64 1/2 (pow.f64 N 2)) (/.f64 1/4 (pow.f64 N 4)))))
(+.f64 (/.f64 1 N) (-.f64 (/.f64 1/3 (pow.f64 N 3)) (+.f64 (/.f64 1/2 (pow.f64 N 2)) (/.f64 1/4 (pow.f64 N 4)))))
(+.f64 (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)) (fma.f64 (neg.f64 (log.f64 N)) 1 (log.f64 N))))
(+.f64 (fma.f64 (neg.f64 (log.f64 N)) 1 (log.f64 N)) (-.f64 (log1p.f64 N) (log.f64 N)))
(-.f64 (+.f64 (-.f64 (log1p.f64 N) (log.f64 N)) (log.f64 N)) (log.f64 N))
(+.f64 (log1p.f64 N) (+.f64 (neg.f64 (log.f64 N)) (fma.f64 (neg.f64 (sqrt.f64 (log.f64 N))) (sqrt.f64 (log.f64 N)) (log.f64 N))))
(+.f64 (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 (log1p.f64 N) (-.f64 (fma.f64 (neg.f64 (sqrt.f64 (log.f64 N))) (sqrt.f64 (log.f64 N)) (log.f64 N)) (log.f64 N)))
(+.f64 (log1p.f64 N) (+.f64 (neg.f64 (log.f64 N)) (fma.f64 (neg.f64 (cbrt.f64 (log.f64 N))) (pow.f64 (cbrt.f64 (log.f64 N)) 2) (log.f64 N))))
(+.f64 (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 (log1p.f64 N) (-.f64 (fma.f64 (neg.f64 (cbrt.f64 (log.f64 N))) (pow.f64 (cbrt.f64 (log.f64 N)) 2) (log.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 (fma.f64 (neg.f64 (log.f64 N)) 1 (log.f64 N)) (-.f64 (log1p.f64 N) (log.f64 N)))
(-.f64 (+.f64 (-.f64 (log1p.f64 N) (log.f64 N)) (log.f64 N)) (log.f64 N))
(+.f64 (-.f64 (log1p.f64 N) (log.f64 N)) (fma.f64 (neg.f64 (sqrt.f64 (log.f64 N))) (sqrt.f64 (log.f64 N)) (log.f64 N)))
(+.f64 (fma.f64 (neg.f64 (sqrt.f64 (log.f64 N))) (sqrt.f64 (log.f64 N)) (log.f64 N)) (-.f64 (log1p.f64 N) (log.f64 N)))
(+.f64 (log1p.f64 N) (-.f64 (fma.f64 (neg.f64 (sqrt.f64 (log.f64 N))) (sqrt.f64 (log.f64 N)) (log.f64 N)) (log.f64 N)))
(+.f64 (-.f64 (log1p.f64 N) (log.f64 N)) (fma.f64 (neg.f64 (cbrt.f64 (log.f64 N))) (pow.f64 (cbrt.f64 (log.f64 N)) 2) (log.f64 N)))
(+.f64 (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 (log1p.f64 N) (-.f64 (fma.f64 (neg.f64 (cbrt.f64 (log.f64 N))) (pow.f64 (cbrt.f64 (log.f64 N)) 2) (log.f64 N)) (log.f64 N)))
(+.f64 (-.f64 (log1p.f64 N) (log.f64 N)) (+.f64 (fma.f64 (neg.f64 (log.f64 N)) 1 (log.f64 N)) (fma.f64 (neg.f64 (log.f64 N)) 1 (log.f64 N))))
(+.f64 (-.f64 (log1p.f64 N) (log.f64 N)) (*.f64 2 (fma.f64 (neg.f64 (log.f64 N)) 1 (log.f64 N))))
(fma.f64 2 (+.f64 (log.f64 N) (neg.f64 (log.f64 N))) (-.f64 (log1p.f64 N) (log.f64 N)))
(+.f64 (-.f64 (log1p.f64 N) (log.f64 N)) (+.f64 (fma.f64 (neg.f64 (sqrt.f64 (log.f64 N))) (sqrt.f64 (log.f64 N)) (log.f64 N)) (fma.f64 (neg.f64 (log.f64 N)) 1 (log.f64 N))))
(+.f64 (-.f64 (log1p.f64 N) (log.f64 N)) (+.f64 (fma.f64 (neg.f64 (log.f64 N)) 1 (log.f64 N)) (fma.f64 (neg.f64 (sqrt.f64 (log.f64 N))) (sqrt.f64 (log.f64 N)) (log.f64 N))))
(+.f64 (fma.f64 (neg.f64 (sqrt.f64 (log.f64 N))) (sqrt.f64 (log.f64 N)) (log.f64 N)) (-.f64 (+.f64 (-.f64 (log1p.f64 N) (log.f64 N)) (log.f64 N)) (log.f64 N)))
(+.f64 (-.f64 (log1p.f64 N) (log.f64 N)) (+.f64 (fma.f64 (neg.f64 (cbrt.f64 (log.f64 N))) (pow.f64 (cbrt.f64 (log.f64 N)) 2) (log.f64 N)) (fma.f64 (neg.f64 (log.f64 N)) 1 (log.f64 N))))
(+.f64 (+.f64 (fma.f64 (neg.f64 (cbrt.f64 (log.f64 N))) (pow.f64 (cbrt.f64 (log.f64 N)) 2) (log.f64 N)) (-.f64 (log1p.f64 N) (log.f64 N))) (fma.f64 (neg.f64 (log.f64 N)) 1 (log.f64 N)))
(+.f64 (fma.f64 (neg.f64 (cbrt.f64 (log.f64 N))) (pow.f64 (cbrt.f64 (log.f64 N)) 2) (log.f64 N)) (-.f64 (+.f64 (-.f64 (log1p.f64 N) (log.f64 N)) (log.f64 N)) (log.f64 N)))
(+.f64 (-.f64 (log1p.f64 N) (log.f64 N)) (+.f64 (fma.f64 (neg.f64 (log.f64 N)) 1 (log.f64 N)) (fma.f64 (neg.f64 (sqrt.f64 (log.f64 N))) (sqrt.f64 (log.f64 N)) (log.f64 N))))
(+.f64 (fma.f64 (neg.f64 (sqrt.f64 (log.f64 N))) (sqrt.f64 (log.f64 N)) (log.f64 N)) (-.f64 (+.f64 (-.f64 (log1p.f64 N) (log.f64 N)) (log.f64 N)) (log.f64 N)))
(+.f64 (-.f64 (log1p.f64 N) (log.f64 N)) (+.f64 (fma.f64 (neg.f64 (sqrt.f64 (log.f64 N))) (sqrt.f64 (log.f64 N)) (log.f64 N)) (fma.f64 (neg.f64 (sqrt.f64 (log.f64 N))) (sqrt.f64 (log.f64 N)) (log.f64 N))))
(+.f64 (-.f64 (log1p.f64 N) (log.f64 N)) (*.f64 2 (fma.f64 (neg.f64 (sqrt.f64 (log.f64 N))) (sqrt.f64 (log.f64 N)) (log.f64 N))))
(fma.f64 2 (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 (-.f64 (log1p.f64 N) (log.f64 N)) (+.f64 (fma.f64 (neg.f64 (cbrt.f64 (log.f64 N))) (pow.f64 (cbrt.f64 (log.f64 N)) 2) (log.f64 N)) (fma.f64 (neg.f64 (sqrt.f64 (log.f64 N))) (sqrt.f64 (log.f64 N)) (log.f64 N))))
(+.f64 (+.f64 (fma.f64 (neg.f64 (cbrt.f64 (log.f64 N))) (pow.f64 (cbrt.f64 (log.f64 N)) 2) (log.f64 N)) (-.f64 (log1p.f64 N) (log.f64 N))) (fma.f64 (neg.f64 (sqrt.f64 (log.f64 N))) (sqrt.f64 (log.f64 N)) (log.f64 N)))
(-.f64 (+.f64 (log1p.f64 N) (fma.f64 (neg.f64 (sqrt.f64 (log.f64 N))) (sqrt.f64 (log.f64 N)) (log.f64 N))) (-.f64 (log.f64 N) (fma.f64 (neg.f64 (cbrt.f64 (log.f64 N))) (pow.f64 (cbrt.f64 (log.f64 N)) 2) (log.f64 N))))
(+.f64 (-.f64 (log1p.f64 N) (log.f64 N)) (+.f64 (fma.f64 (neg.f64 (log.f64 N)) 1 (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 (fma.f64 (neg.f64 (cbrt.f64 (log.f64 N))) (pow.f64 (cbrt.f64 (log.f64 N)) 2) (log.f64 N)) (-.f64 (log1p.f64 N) (log.f64 N))) (fma.f64 (neg.f64 (log.f64 N)) 1 (log.f64 N)))
(+.f64 (fma.f64 (neg.f64 (cbrt.f64 (log.f64 N))) (pow.f64 (cbrt.f64 (log.f64 N)) 2) (log.f64 N)) (-.f64 (+.f64 (-.f64 (log1p.f64 N) (log.f64 N)) (log.f64 N)) (log.f64 N)))
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(pow.f64 (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 3) 1/3)
(-.f64 (log1p.f64 N) (log.f64 N))
(neg.f64 (/.f64 (-.f64 (pow.f64 (log1p.f64 N) 2) (pow.f64 (log.f64 N) 2)) (neg.f64 (+.f64 (log1p.f64 N) (log.f64 N)))))
(-.f64 (log1p.f64 N) (log.f64 N))
(neg.f64 (/.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 (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)))
(sqrt.f64 (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 2))
(-.f64 (log1p.f64 N) (log.f64 N))
(fabs.f64 (-.f64 (log1p.f64 N) (log.f64 N)))
(-.f64 (log1p.f64 N) (log.f64 N))
(log.f64 (/.f64 (+.f64 N 1) N))
(-.f64 (log1p.f64 N) (log.f64 N))
(log.f64 (+.f64 1 (+.f64 (/.f64 (+.f64 N 1) N) -1)))
(log1p.f64 (+.f64 -1 (/.f64 (+.f64 N 1) 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 (+.f64 (/.f64 (+.f64 N 1) N) -1))
(log1p.f64 (+.f64 -1 (/.f64 (+.f64 N 1) N)))
(fma.f64 1 (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))
(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))

eval100.0ms (0.9%)

Compiler

Compiled 7938 to 2958 computations (62.7% saved)

prune57.0ms (0.5%)

Pruning

12 alts after pruning (11 fresh and 1 done)

PrunedKeptTotal
New25611267
Fresh000
Picked011
Done000
Total25612268
Accuracy
100.0%
Counts
268 → 12
Alt Table
Click to see full alt table
StatusAccuracyProgram
53.2%
(pow.f64 (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 3) 1/3)
▶54.0%
(pow.f64 (sqrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))) 2)
54.2%
(/.f64 (-.f64 (pow.f64 (log1p.f64 N) 4) (pow.f64 (log.f64 N) 4)) (*.f64 (+.f64 (log1p.f64 N) (log.f64 N)) (+.f64 (pow.f64 (log1p.f64 N) 2) (pow.f64 (log.f64 N) 2))))
▶51.5%
(/.f64 1 N)
49.6%
(-.f64 (/.f64 1 N) (/.f64 1/2 (pow.f64 N 2)))
✓54.3%
(-.f64 (log1p.f64 N) (log.f64 N))
▶51.5%
(-.f64 N (log.f64 N))
49.9%
(+.f64 (/.f64 1 N) (-.f64 (/.f64 1/3 (pow.f64 N 3)) (+.f64 (/.f64 1/2 (pow.f64 N 2)) (/.f64 1/4 (pow.f64 N 4)))))
▶50.7%
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (-.f64 (/.f64 1 N) (/.f64 1/2 (pow.f64 N 2))))
4.7%
(*.f64 (/.f64 (sqrt.f64 (-.f64 (pow.f64 (log1p.f64 N) 2) (pow.f64 (log.f64 N) 2))) 1) (/.f64 (sqrt.f64 (-.f64 (pow.f64 (log1p.f64 N) 2) (pow.f64 (log.f64 N) 2))) (+.f64 (log1p.f64 N) (log.f64 N))))
49.9%
(neg.f64 (log.f64 N))
▶54.4%
(log.f64 (/.f64 (+.f64 N 1) N))
53.2%
(pow.f64 (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 3) 1/3)
▶54.0%
(pow.f64 (sqrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))) 2)
54.2%
(/.f64 (-.f64 (pow.f64 (log1p.f64 N) 4) (pow.f64 (log.f64 N) 4)) (*.f64 (+.f64 (log1p.f64 N) (log.f64 N)) (+.f64 (pow.f64 (log1p.f64 N) 2) (pow.f64 (log.f64 N) 2))))
▶51.5%
(/.f64 1 N)
49.6%
(-.f64 (/.f64 1 N) (/.f64 1/2 (pow.f64 N 2)))
✓54.3%
(-.f64 (log1p.f64 N) (log.f64 N))
▶51.5%
(-.f64 N (log.f64 N))
49.9%
(+.f64 (/.f64 1 N) (-.f64 (/.f64 1/3 (pow.f64 N 3)) (+.f64 (/.f64 1/2 (pow.f64 N 2)) (/.f64 1/4 (pow.f64 N 4)))))
▶50.7%
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (-.f64 (/.f64 1 N) (/.f64 1/2 (pow.f64 N 2))))
4.7%
(*.f64 (/.f64 (sqrt.f64 (-.f64 (pow.f64 (log1p.f64 N) 2) (pow.f64 (log.f64 N) 2))) 1) (/.f64 (sqrt.f64 (-.f64 (pow.f64 (log1p.f64 N) 2) (pow.f64 (log.f64 N) 2))) (+.f64 (log1p.f64 N) (log.f64 N))))
49.9%
(neg.f64 (log.f64 N))
▶54.4%
(log.f64 (/.f64 (+.f64 N 1) N))
Compiler

Compiled 584 to 424 computations (27.4% saved)

localize330.0ms (2.9%)

Localize:

Found 10 expressions with local error:

NewAccuracyProgram
✓99.8%
(sqrt.f64 (-.f64 (log1p.f64 N) (log.f64 N)))
✓99.3%
(pow.f64 (sqrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))) 2)
54.3%
(-.f64 (log1p.f64 N) (log.f64 N))
✓100.0%
(-.f64 (/.f64 1 N) (/.f64 1/2 (pow.f64 N 2)))
✓99.7%
(/.f64 1/2 (pow.f64 N 2))
✓99.3%
(/.f64 1/3 (pow.f64 N 3))
✓82.2%
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (-.f64 (/.f64 1 N) (/.f64 1/2 (pow.f64 N 2))))
✓100.0%
(-.f64 N (log.f64 N))
✓100.0%
(/.f64 (+.f64 N 1) N)
✓54.4%
(log.f64 (/.f64 (+.f64 N 1) N))
Compiler

Compiled 104 to 61 computations (41.3% saved)

series17.0ms (0.2%)

Counts
9 → 68
Calls

27 calls:

TimeVariablePointExpression
4.0ms
N
@0
(-.f64 N (log.f64 N))
3.0ms
N
@-inf
(-.f64 N (log.f64 N))
1.0ms
N
@-inf
(pow.f64 (sqrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))) 2)
1.0ms
N
@inf
(pow.f64 (sqrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))) 2)
1.0ms
N
@0
(pow.f64 (sqrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))) 2)

rewrite251.0ms (2.2%)

Algorithm
1×batch-egg-rewrite
Rules
897×associate-/l*
250×+-commutative
235×associate-+l+
176×pow1
172×associate-+r+
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
027218
1439214
25862214
Stop Event
1×node limit
Counts
9 → 621
Calls
Call 1
Inputs
(log.f64 (/.f64 (+.f64 N 1) N))
(/.f64 (+.f64 N 1) N)
(-.f64 N (log.f64 N))
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (-.f64 (/.f64 1 N) (/.f64 1/2 (pow.f64 N 2))))
(/.f64 1/3 (pow.f64 N 3))
(/.f64 1/2 (pow.f64 N 2))
(-.f64 (/.f64 1 N) (/.f64 1/2 (pow.f64 N 2)))
(pow.f64 (sqrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))) 2)
(sqrt.f64 (-.f64 (log1p.f64 N) (log.f64 N)))
Outputs
(+.f64 (log1p.f64 N) (neg.f64 (log.f64 N)))
(+.f64 (log1p.f64 N) (*.f64 (neg.f64 (log.f64 N)) 1))
(+.f64 (log1p.f64 N) (+.f64 (neg.f64 (log.f64 N)) (fma.f64 (neg.f64 (log.f64 N)) 1 (log.f64 N))))
(+.f64 (log1p.f64 N) (+.f64 (*.f64 (neg.f64 (log.f64 N)) 1) (fma.f64 (neg.f64 (log.f64 N)) 1 (log.f64 N))))
(+.f64 (log1p.f64 N) (+.f64 (neg.f64 (log.f64 N)) (fma.f64 (neg.f64 (sqrt.f64 (log.f64 N))) (sqrt.f64 (log.f64 N)) (log.f64 N))))
(+.f64 (log1p.f64 N) (+.f64 (*.f64 (neg.f64 (log.f64 N)) 1) (fma.f64 (neg.f64 (sqrt.f64 (log.f64 N))) (sqrt.f64 (log.f64 N)) (log.f64 N))))
(+.f64 (log1p.f64 N) (+.f64 (neg.f64 (log.f64 N)) (fma.f64 (neg.f64 (cbrt.f64 (log.f64 N))) (pow.f64 (cbrt.f64 (log.f64 N)) 2) (log.f64 N))))
(+.f64 (log1p.f64 N) (+.f64 (*.f64 (neg.f64 (log.f64 N)) 1) (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)) 0)
(+.f64 (-.f64 (log1p.f64 N) (log.f64 N)) (fma.f64 (neg.f64 (log.f64 N)) 1 (log.f64 N)))
(+.f64 (-.f64 (log1p.f64 N) (log.f64 N)) (fma.f64 (neg.f64 (sqrt.f64 (log.f64 N))) (sqrt.f64 (log.f64 N)) (log.f64 N)))
(+.f64 (-.f64 (log1p.f64 N) (log.f64 N)) (fma.f64 (neg.f64 (cbrt.f64 (log.f64 N))) (pow.f64 (cbrt.f64 (log.f64 N)) 2) (log.f64 N)))
(+.f64 (-.f64 (log1p.f64 N) (log.f64 N)) (+.f64 (fma.f64 (neg.f64 (log.f64 N)) 1 (log.f64 N)) (fma.f64 (neg.f64 (log.f64 N)) 1 (log.f64 N))))
(+.f64 (-.f64 (log1p.f64 N) (log.f64 N)) (+.f64 (fma.f64 (neg.f64 (sqrt.f64 (log.f64 N))) (sqrt.f64 (log.f64 N)) (log.f64 N)) (fma.f64 (neg.f64 (log.f64 N)) 1 (log.f64 N))))
(+.f64 (-.f64 (log1p.f64 N) (log.f64 N)) (+.f64 (fma.f64 (neg.f64 (cbrt.f64 (log.f64 N))) (pow.f64 (cbrt.f64 (log.f64 N)) 2) (log.f64 N)) (fma.f64 (neg.f64 (log.f64 N)) 1 (log.f64 N))))
(+.f64 (-.f64 (log1p.f64 N) (log.f64 N)) (+.f64 (fma.f64 (neg.f64 (log.f64 N)) 1 (log.f64 N)) (fma.f64 (neg.f64 (sqrt.f64 (log.f64 N))) (sqrt.f64 (log.f64 N)) (log.f64 N))))
(+.f64 (-.f64 (log1p.f64 N) (log.f64 N)) (+.f64 (fma.f64 (neg.f64 (sqrt.f64 (log.f64 N))) (sqrt.f64 (log.f64 N)) (log.f64 N)) (fma.f64 (neg.f64 (sqrt.f64 (log.f64 N))) (sqrt.f64 (log.f64 N)) (log.f64 N))))
(+.f64 (-.f64 (log1p.f64 N) (log.f64 N)) (+.f64 (fma.f64 (neg.f64 (cbrt.f64 (log.f64 N))) (pow.f64 (cbrt.f64 (log.f64 N)) 2) (log.f64 N)) (fma.f64 (neg.f64 (sqrt.f64 (log.f64 N))) (sqrt.f64 (log.f64 N)) (log.f64 N))))
(+.f64 (-.f64 (log1p.f64 N) (log.f64 N)) (+.f64 (fma.f64 (neg.f64 (log.f64 N)) 1 (log.f64 N)) (fma.f64 (neg.f64 (cbrt.f64 (log.f64 N))) (pow.f64 (cbrt.f64 (log.f64 N)) 2) (log.f64 N))))
(+.f64 (-.f64 (log1p.f64 N) (log.f64 N)) (+.f64 (fma.f64 (neg.f64 (sqrt.f64 (log.f64 N))) (sqrt.f64 (log.f64 N)) (log.f64 N)) (fma.f64 (neg.f64 (cbrt.f64 (log.f64 N))) (pow.f64 (cbrt.f64 (log.f64 N)) 2) (log.f64 N))))
(+.f64 (-.f64 (log1p.f64 N) (log.f64 N)) (+.f64 (fma.f64 (neg.f64 (cbrt.f64 (log.f64 N))) (pow.f64 (cbrt.f64 (log.f64 N)) 2) (log.f64 N)) (fma.f64 (neg.f64 (cbrt.f64 (log.f64 N))) (pow.f64 (cbrt.f64 (log.f64 N)) 2) (log.f64 N))))
(+.f64 (neg.f64 (log.f64 N)) (log1p.f64 N))
(+.f64 (neg.f64 (log.f64 N)) (+.f64 (log1p.f64 N) (fma.f64 (neg.f64 (log.f64 N)) 1 (log.f64 N))))
(+.f64 (neg.f64 (log.f64 N)) (+.f64 (log1p.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)) (+.f64 (log1p.f64 N) (fma.f64 (neg.f64 (cbrt.f64 (log.f64 N))) (pow.f64 (cbrt.f64 (log.f64 N)) 2) (log.f64 N))))
(+.f64 0 (-.f64 (log1p.f64 N) (log.f64 N)))
(+.f64 (*.f64 (neg.f64 (log.f64 N)) 1) (log1p.f64 N))
(+.f64 (log.f64 (cbrt.f64 (pow.f64 (/.f64 (+.f64 N 1) N) 2))) (log.f64 (cbrt.f64 (/.f64 (+.f64 N 1) N))))
(+.f64 (log.f64 (cbrt.f64 (pow.f64 (/.f64 (+.f64 N 1) N) 2))) (+.f64 (log.f64 (cbrt.f64 (/.f64 (+.f64 N 1) N))) (fma.f64 (neg.f64 (log.f64 N)) 1 (log.f64 N))))
(+.f64 (log.f64 (cbrt.f64 (pow.f64 (/.f64 (+.f64 N 1) N) 2))) (+.f64 (log.f64 (cbrt.f64 (/.f64 (+.f64 N 1) N))) (fma.f64 (neg.f64 (sqrt.f64 (log.f64 N))) (sqrt.f64 (log.f64 N)) (log.f64 N))))
(+.f64 (log.f64 (cbrt.f64 (pow.f64 (/.f64 (+.f64 N 1) N) 2))) (+.f64 (log.f64 (cbrt.f64 (/.f64 (+.f64 N 1) N))) (fma.f64 (neg.f64 (cbrt.f64 (log.f64 N))) (pow.f64 (cbrt.f64 (log.f64 N)) 2) (log.f64 N))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (+.f64 N 1)) 2)) (+.f64 (log.f64 (cbrt.f64 (+.f64 N 1))) (neg.f64 (log.f64 N))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (+.f64 N 1)) 2)) (+.f64 (log.f64 (cbrt.f64 (+.f64 N 1))) (*.f64 (neg.f64 (log.f64 N)) 1)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (+.f64 N 1)) 2)) (-.f64 (log.f64 (cbrt.f64 (+.f64 N 1))) (log.f64 N)))
(+.f64 (log.f64 (cbrt.f64 (pow.f64 N -2))) (+.f64 (log.f64 (cbrt.f64 (/.f64 1 N))) (log1p.f64 N)))
(+.f64 (log.f64 (cbrt.f64 (/.f64 (+.f64 N 1) N))) (log.f64 (cbrt.f64 (pow.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 (sqrt.f64 (/.f64 (+.f64 N 1) N))) (+.f64 (log.f64 (sqrt.f64 (/.f64 (+.f64 N 1) N))) (fma.f64 (neg.f64 (log.f64 N)) 1 (log.f64 N))))
(+.f64 (log.f64 (sqrt.f64 (/.f64 (+.f64 N 1) N))) (+.f64 (log.f64 (sqrt.f64 (/.f64 (+.f64 N 1) N))) (fma.f64 (neg.f64 (sqrt.f64 (log.f64 N))) (sqrt.f64 (log.f64 N)) (log.f64 N))))
(+.f64 (log.f64 (sqrt.f64 (/.f64 (+.f64 N 1) N))) (+.f64 (log.f64 (sqrt.f64 (/.f64 (+.f64 N 1) N))) (fma.f64 (neg.f64 (cbrt.f64 (log.f64 N))) (pow.f64 (cbrt.f64 (log.f64 N)) 2) (log.f64 N))))
(+.f64 (log.f64 (pow.f64 N -1/2)) (+.f64 (log.f64 (pow.f64 N -1/2)) (log1p.f64 N)))
(+.f64 (log.f64 (sqrt.f64 (+.f64 N 1))) (+.f64 (log.f64 (sqrt.f64 (+.f64 N 1))) (neg.f64 (log.f64 N))))
(+.f64 (log.f64 (sqrt.f64 (+.f64 N 1))) (+.f64 (log.f64 (sqrt.f64 (+.f64 N 1))) (*.f64 (neg.f64 (log.f64 N)) 1)))
(+.f64 (log.f64 (sqrt.f64 (+.f64 N 1))) (-.f64 (log.f64 (sqrt.f64 (+.f64 N 1))) (log.f64 N)))
(+.f64 (fma.f64 (neg.f64 (log.f64 N)) 1 (log.f64 N)) (-.f64 (log1p.f64 N) (log.f64 N)))
(+.f64 (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 (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 (cbrt.f64 (pow.f64 N -2)))) (log.f64 (cbrt.f64 (/.f64 1 N))))
(+.f64 (+.f64 (log1p.f64 N) (log.f64 (pow.f64 N -1/2))) (log.f64 (pow.f64 N -1/2)))
(+.f64 (+.f64 (neg.f64 (log.f64 N)) (log.f64 (pow.f64 (cbrt.f64 (+.f64 N 1)) 2))) (log.f64 (cbrt.f64 (+.f64 N 1))))
(+.f64 (+.f64 (neg.f64 (log.f64 N)) (log.f64 (sqrt.f64 (+.f64 N 1)))) (log.f64 (sqrt.f64 (+.f64 N 1))))
(+.f64 (+.f64 0 (log.f64 (cbrt.f64 (pow.f64 (/.f64 (+.f64 N 1) N) 2)))) (log.f64 (cbrt.f64 (/.f64 (+.f64 N 1) N))))
(+.f64 (+.f64 0 (log.f64 (sqrt.f64 (/.f64 (+.f64 N 1) N)))) (log.f64 (sqrt.f64 (/.f64 (+.f64 N 1) N))))
(+.f64 (-.f64 (log1p.f64 N) (exp.f64 (log1p.f64 (log.f64 N)))) 1)
(-.f64 (log1p.f64 N) (log.f64 N))
(-.f64 (log1p.f64 N) (-.f64 (log.f64 N) (fma.f64 (neg.f64 (log.f64 N)) 1 (log.f64 N))))
(-.f64 (log1p.f64 N) (-.f64 (log.f64 N) (fma.f64 (neg.f64 (sqrt.f64 (log.f64 N))) (sqrt.f64 (log.f64 N)) (log.f64 N))))
(-.f64 (log1p.f64 N) (-.f64 (log.f64 N) (fma.f64 (neg.f64 (cbrt.f64 (log.f64 N))) (pow.f64 (cbrt.f64 (log.f64 N)) 2) (log.f64 N))))
(-.f64 0 (log.f64 (/.f64 N (+.f64 N 1))))
(-.f64 0 (-.f64 (log.f64 N) (log1p.f64 N)))
(-.f64 0 (-.f64 (log.f64 (/.f64 N (+.f64 N 1))) (fma.f64 (neg.f64 (log.f64 N)) 1 (log.f64 N))))
(-.f64 0 (-.f64 (log.f64 (/.f64 N (+.f64 N 1))) (fma.f64 (neg.f64 (sqrt.f64 (log.f64 N))) (sqrt.f64 (log.f64 N)) (log.f64 N))))
(-.f64 0 (-.f64 (log.f64 (/.f64 N (+.f64 N 1))) (fma.f64 (neg.f64 (cbrt.f64 (log.f64 N))) (pow.f64 (cbrt.f64 (log.f64 N)) 2) (log.f64 N))))
(-.f64 (log1p.f64 (pow.f64 N 3)) (-.f64 (log.f64 (fma.f64 N N (-.f64 1 N))) (neg.f64 (log.f64 N))))
(-.f64 (log1p.f64 (pow.f64 N 3)) (-.f64 (log.f64 (fma.f64 N N (-.f64 1 N))) (*.f64 (neg.f64 (log.f64 N)) 1)))
(-.f64 (log1p.f64 (pow.f64 N 3)) (+.f64 (log.f64 (fma.f64 N N (-.f64 1 N))) (log.f64 N)))
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(-.f64 (log1p.f64 (pow.f64 N 3)) (+.f64 (log.f64 (fma.f64 N N (-.f64 1 N))) (log.f64 N)))
(-.f64 (/.f64 (pow.f64 (log1p.f64 N) 2) (+.f64 (log.f64 N) (log1p.f64 N))) (/.f64 (pow.f64 (log.f64 N) 2) (+.f64 (log.f64 N) (log1p.f64 N))))
(-.f64 (/.f64 (pow.f64 (log1p.f64 N) 2) (+.f64 (log.f64 N) (log1p.f64 N))) (-.f64 (/.f64 (pow.f64 (log.f64 N) 2) (+.f64 (log.f64 N) (log1p.f64 N))) (fma.f64 (neg.f64 (log.f64 N)) 1 (log.f64 N))))
(-.f64 (/.f64 (pow.f64 (log1p.f64 N) 2) (+.f64 (log.f64 N) (log1p.f64 N))) (-.f64 (/.f64 (pow.f64 (log.f64 N) 2) (+.f64 (log.f64 N) (log1p.f64 N))) (fma.f64 (neg.f64 (sqrt.f64 (log.f64 N))) (sqrt.f64 (log.f64 N)) (log.f64 N))))
(-.f64 (/.f64 (pow.f64 (log1p.f64 N) 2) (+.f64 (log.f64 N) (log1p.f64 N))) (-.f64 (/.f64 (pow.f64 (log.f64 N) 2) (+.f64 (log.f64 N) (log1p.f64 N))) (fma.f64 (neg.f64 (cbrt.f64 (log.f64 N))) (pow.f64 (cbrt.f64 (log.f64 N)) 2) (log.f64 N))))
(-.f64 (/.f64 (pow.f64 (log1p.f64 N) 3) (+.f64 (pow.f64 (log1p.f64 N) 2) (*.f64 (log.f64 N) (+.f64 (log.f64 N) (log1p.f64 N))))) (/.f64 (pow.f64 (log.f64 N) 3) (+.f64 (pow.f64 (log1p.f64 N) 2) (*.f64 (log.f64 N) (+.f64 (log.f64 N) (log1p.f64 N))))))
(-.f64 (/.f64 (pow.f64 (log1p.f64 N) 3) (+.f64 (pow.f64 (log1p.f64 N) 2) (*.f64 (log.f64 N) (+.f64 (log.f64 N) (log1p.f64 N))))) (-.f64 (/.f64 (pow.f64 (log.f64 N) 3) (+.f64 (pow.f64 (log1p.f64 N) 2) (*.f64 (log.f64 N) (+.f64 (log.f64 N) (log1p.f64 N))))) (fma.f64 (neg.f64 (log.f64 N)) 1 (log.f64 N))))
(-.f64 (/.f64 (pow.f64 (log1p.f64 N) 3) (+.f64 (pow.f64 (log1p.f64 N) 2) (*.f64 (log.f64 N) (+.f64 (log.f64 N) (log1p.f64 N))))) (-.f64 (/.f64 (pow.f64 (log.f64 N) 3) (+.f64 (pow.f64 (log1p.f64 N) 2) (*.f64 (log.f64 N) (+.f64 (log.f64 N) (log1p.f64 N))))) (fma.f64 (neg.f64 (sqrt.f64 (log.f64 N))) (sqrt.f64 (log.f64 N)) (log.f64 N))))
(-.f64 (/.f64 (pow.f64 (log1p.f64 N) 3) (+.f64 (pow.f64 (log1p.f64 N) 2) (*.f64 (log.f64 N) (+.f64 (log.f64 N) (log1p.f64 N))))) (-.f64 (/.f64 (pow.f64 (log.f64 N) 3) (+.f64 (pow.f64 (log1p.f64 N) 2) (*.f64 (log.f64 N) (+.f64 (log.f64 N) (log1p.f64 N))))) (fma.f64 (neg.f64 (cbrt.f64 (log.f64 N))) (pow.f64 (cbrt.f64 (log.f64 N)) 2) (log.f64 N))))
(-.f64 (log.f64 (fma.f64 N N -1)) (-.f64 (log.f64 (+.f64 N -1)) (neg.f64 (log.f64 N))))
(-.f64 (log.f64 (fma.f64 N N -1)) (-.f64 (log.f64 (+.f64 N -1)) (*.f64 (neg.f64 (log.f64 N)) 1)))
(-.f64 (log.f64 (fma.f64 N N -1)) (+.f64 (log.f64 (+.f64 N -1)) (log.f64 N)))
(-.f64 (log.f64 (-.f64 -1 N)) (log.f64 (neg.f64 N)))
(-.f64 (log.f64 (-.f64 -1 N)) (-.f64 (log.f64 (neg.f64 N)) (fma.f64 (neg.f64 (log.f64 N)) 1 (log.f64 N))))
(-.f64 (log.f64 (-.f64 -1 N)) (-.f64 (log.f64 (neg.f64 N)) (fma.f64 (neg.f64 (sqrt.f64 (log.f64 N))) (sqrt.f64 (log.f64 N)) (log.f64 N))))
(-.f64 (log.f64 (-.f64 -1 N)) (-.f64 (log.f64 (neg.f64 N)) (fma.f64 (neg.f64 (cbrt.f64 (log.f64 N))) (pow.f64 (cbrt.f64 (log.f64 N)) 2) (log.f64 N))))
(-.f64 (exp.f64 (log1p.f64 (log1p.f64 N))) (+.f64 1 (log.f64 N)))
(-.f64 (exp.f64 (log1p.f64 (log1p.f64 N))) (-.f64 1 (neg.f64 (log.f64 N))))
(-.f64 (exp.f64 (log1p.f64 (log1p.f64 N))) (-.f64 1 (*.f64 (neg.f64 (log.f64 N)) 1)))
(-.f64 (exp.f64 (log1p.f64 (-.f64 (log1p.f64 N) (log.f64 N)))) 1)
(-.f64 (exp.f64 (log1p.f64 (-.f64 (log1p.f64 N) (log.f64 N)))) (-.f64 1 (fma.f64 (neg.f64 (log.f64 N)) 1 (log.f64 N))))
(-.f64 (exp.f64 (log1p.f64 (-.f64 (log1p.f64 N) (log.f64 N)))) (-.f64 1 (fma.f64 (neg.f64 (sqrt.f64 (log.f64 N))) (sqrt.f64 (log.f64 N)) (log.f64 N))))
(-.f64 (exp.f64 (log1p.f64 (-.f64 (log1p.f64 N) (log.f64 N)))) (-.f64 1 (fma.f64 (neg.f64 (cbrt.f64 (log.f64 N))) (pow.f64 (cbrt.f64 (log.f64 N)) 2) (log.f64 N))))
(-.f64 (log.f64 -1) (-.f64 (log.f64 (neg.f64 N)) (log1p.f64 N)))
(-.f64 (+.f64 (log1p.f64 N) (log.f64 -1)) (log.f64 (neg.f64 N)))
(-.f64 (+.f64 (neg.f64 (log.f64 N)) (log1p.f64 (pow.f64 N 3))) (log.f64 (fma.f64 N N (-.f64 1 N))))
(-.f64 (+.f64 (neg.f64 (log.f64 N)) (log.f64 (fma.f64 N N -1))) (log.f64 (+.f64 N -1)))
(-.f64 (+.f64 (neg.f64 (log.f64 N)) (exp.f64 (log1p.f64 (log1p.f64 N)))) 1)
(-.f64 (+.f64 0 (/.f64 (pow.f64 (log1p.f64 N) 2) (+.f64 (log.f64 N) (log1p.f64 N)))) (/.f64 (pow.f64 (log.f64 N) 2) (+.f64 (log.f64 N) (log1p.f64 N))))
(-.f64 (+.f64 0 (/.f64 (pow.f64 (log1p.f64 N) 3) (+.f64 (pow.f64 (log1p.f64 N) 2) (*.f64 (log.f64 N) (+.f64 (log.f64 N) (log1p.f64 N)))))) (/.f64 (pow.f64 (log.f64 N) 3) (+.f64 (pow.f64 (log1p.f64 N) 2) (*.f64 (log.f64 N) (+.f64 (log.f64 N) (log1p.f64 N))))))
(-.f64 (+.f64 0 (log.f64 (-.f64 -1 N))) (log.f64 (neg.f64 N)))
(-.f64 (+.f64 0 (exp.f64 (log1p.f64 (-.f64 (log1p.f64 N) (log.f64 N))))) 1)
(-.f64 (-.f64 (log1p.f64 N) 0) (log.f64 N))
(-.f64 (-.f64 (log1p.f64 N) (log.f64 (pow.f64 (cbrt.f64 N) 2))) (log.f64 (cbrt.f64 N)))
(-.f64 (-.f64 (log1p.f64 N) (log.f64 (sqrt.f64 N))) (log.f64 (sqrt.f64 N)))
(*.f64 1 (-.f64 (log1p.f64 N) (log.f64 N)))
(*.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 1)
(*.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) 2) (pow.f64 (log.f64 N) 2)) (/.f64 1 (+.f64 (log.f64 N) (log1p.f64 N))))
(*.f64 (-.f64 (pow.f64 (log1p.f64 N) 3) (pow.f64 (log.f64 N) 3)) (/.f64 1 (+.f64 (pow.f64 (log1p.f64 N) 2) (*.f64 (log.f64 N) (+.f64 (log.f64 N) (log1p.f64 N))))))
(*.f64 (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 1/4) (*.f64 (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 1/4) (sqrt.f64 (-.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 (cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))) (*.f64 (cbrt.f64 (sqrt.f64 (-.f64 (log1p.f64 N) (log.f64 N)))) (sqrt.f64 (-.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 (*.f64 (sqrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))) (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 1/4)) (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 1/4))
(*.f64 (*.f64 (sqrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))) (cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N)))) (cbrt.f64 (sqrt.f64 (-.f64 (log1p.f64 N) (log.f64 N)))))
(*.f64 (+.f64 (sqrt.f64 (log.f64 N)) (sqrt.f64 (log1p.f64 N))) (-.f64 (sqrt.f64 (log1p.f64 N)) (sqrt.f64 (log.f64 N))))
(/.f64 1 (/.f64 1 (-.f64 (log1p.f64 N) (log.f64 N))))
(/.f64 (-.f64 (pow.f64 (log1p.f64 N) 2) (pow.f64 (log.f64 N) 2)) (+.f64 (log.f64 N) (log1p.f64 N)))
(/.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (/.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (-.f64 (log1p.f64 N) (log.f64 N))))
(/.f64 (-.f64 (pow.f64 (log1p.f64 N) 3) (pow.f64 (log.f64 N) 3)) (+.f64 (pow.f64 (log1p.f64 N) 2) (*.f64 (log.f64 N) (+.f64 (log.f64 N) (log1p.f64 N)))))
(/.f64 (+.f64 (pow.f64 (log1p.f64 N) 2) (*.f64 (log.f64 N) (+.f64 (log.f64 N) (log1p.f64 N)))) (/.f64 (+.f64 (pow.f64 (log1p.f64 N) 2) (*.f64 (log.f64 N) (+.f64 (log.f64 N) (log1p.f64 N)))) (-.f64 (log1p.f64 N) (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))))
(/.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 (neg.f64 (-.f64 (pow.f64 (log1p.f64 N) 2) (pow.f64 (log.f64 N) 2))) (neg.f64 (+.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 (log.f64 N) (log1p.f64 N))))))
(/.f64 (sqrt.f64 (-.f64 (pow.f64 (log1p.f64 N) 2) (pow.f64 (log.f64 N) 2))) (/.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (sqrt.f64 (-.f64 (pow.f64 (log1p.f64 N) 2) (pow.f64 (log.f64 N) 2)))))
(/.f64 (sqrt.f64 (-.f64 (pow.f64 (log1p.f64 N) 3) (pow.f64 (log.f64 N) 3))) (/.f64 (+.f64 (pow.f64 (log1p.f64 N) 2) (*.f64 (log.f64 N) (+.f64 (log.f64 N) (log1p.f64 N)))) (sqrt.f64 (-.f64 (pow.f64 (log1p.f64 N) 3) (pow.f64 (log.f64 N) 3)))))
(/.f64 (*.f64 (cbrt.f64 (-.f64 (pow.f64 (log1p.f64 N) 2) (pow.f64 (log.f64 N) 2))) (cbrt.f64 (-.f64 (pow.f64 (log1p.f64 N) 2) (pow.f64 (log.f64 N) 2)))) (/.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (cbrt.f64 (-.f64 (pow.f64 (log1p.f64 N) 2) (pow.f64 (log.f64 N) 2)))))
(/.f64 (*.f64 (cbrt.f64 (-.f64 (pow.f64 (log1p.f64 N) 3) (pow.f64 (log.f64 N) 3))) (cbrt.f64 (-.f64 (pow.f64 (log1p.f64 N) 3) (pow.f64 (log.f64 N) 3)))) (/.f64 (+.f64 (pow.f64 (log1p.f64 N) 2) (*.f64 (log.f64 N) (+.f64 (log.f64 N) (log1p.f64 N)))) (cbrt.f64 (-.f64 (pow.f64 (log1p.f64 N) 3) (pow.f64 (log.f64 N) 3)))))
(neg.f64 (log.f64 (/.f64 N (+.f64 N 1))))
(sqrt.f64 (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 2))
(log.f64 (/.f64 (+.f64 N 1) N))
(log.f64 (+.f64 1 (-.f64 (/.f64 (+.f64 N 1) N) 1)))
(cbrt.f64 (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 3))
(expm1.f64 (log1p.f64 (-.f64 (log1p.f64 N) (log.f64 N))))
(exp.f64 (log.f64 (-.f64 (log1p.f64 N) (log.f64 N))))
(exp.f64 (*.f64 (log.f64 (-.f64 (log1p.f64 N) (log.f64 N))) 1))
(log1p.f64 (-.f64 (/.f64 (+.f64 N 1) N) 1))
(fma.f64 1 (log1p.f64 N) (neg.f64 (log.f64 N)))
(fma.f64 (sqrt.f64 (log1p.f64 N)) (sqrt.f64 (log1p.f64 N)) (neg.f64 (log.f64 N)))
(fma.f64 (pow.f64 (cbrt.f64 (log1p.f64 N)) 2) (cbrt.f64 (log1p.f64 N)) (neg.f64 (log.f64 N)))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))))) 1)
(*.f64 1 (sqrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))))
(*.f64 (sqrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))) 1)
(*.f64 (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 1/4) (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 1/4))
(*.f64 (cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))) (cbrt.f64 (sqrt.f64 (-.f64 (log1p.f64 N) (log.f64 N)))))
(*.f64 (cbrt.f64 (sqrt.f64 (-.f64 (log1p.f64 N) (log.f64 N)))) (cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))) 2)) (sqrt.f64 (cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N)))))
(*.f64 (pow.f64 1 1/2) (sqrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))) 2) 1/2) (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))) 1/2))
(/.f64 (sqrt.f64 (-.f64 (pow.f64 (log1p.f64 N) 2) (pow.f64 (log.f64 N) 2))) (sqrt.f64 (+.f64 (log.f64 N) (log1p.f64 N))))
(/.f64 (sqrt.f64 (-.f64 (pow.f64 (log1p.f64 N) 3) (pow.f64 (log.f64 N) 3))) (sqrt.f64 (+.f64 (pow.f64 (log1p.f64 N) 2) (*.f64 (log.f64 N) (+.f64 (log.f64 N) (log1p.f64 N))))))
(pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 1/2)
(pow.f64 (sqrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))) 1)
(pow.f64 (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 1/4) 2)
(pow.f64 (cbrt.f64 (sqrt.f64 (-.f64 (log1p.f64 N) (log.f64 N)))) 3)
(pow.f64 (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 3/2) 1/3)
(fabs.f64 (sqrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))))
(log.f64 (exp.f64 (sqrt.f64 (-.f64 (log1p.f64 N) (log.f64 N)))))
(log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))))))
(cbrt.f64 (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 3/2))
(expm1.f64 (log1p.f64 (sqrt.f64 (-.f64 (log1p.f64 N) (log.f64 N)))))
(exp.f64 (log.f64 (sqrt.f64 (-.f64 (log1p.f64 N) (log.f64 N)))))
(exp.f64 (*.f64 (log.f64 (-.f64 (log1p.f64 N) (log.f64 N))) 1/2))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (-.f64 (log1p.f64 N) (log.f64 N)))) 1))
(log1p.f64 (expm1.f64 (sqrt.f64 (-.f64 (log1p.f64 N) (log.f64 N)))))

simplify292.0ms (2.6%)

Algorithm
1×egg-herbie
Rules
593×+-commutative
588×associate-*r*
512×associate-*l*
494×associate-+l+
439×associate-+r+
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0118540281
1303839680
Stop Event
1×node limit
Counts
689 → 808
Calls
Call 1
Inputs
(*.f64 -1 (log.f64 N))
(+.f64 N (*.f64 -1 (log.f64 N)))
(+.f64 N (+.f64 (*.f64 -1 (log.f64 N)) (*.f64 -1/2 (pow.f64 N 2))))
(+.f64 N (+.f64 (*.f64 -1 (log.f64 N)) (+.f64 (*.f64 -1/2 (pow.f64 N 2)) (*.f64 1/3 (pow.f64 N 3)))))
(/.f64 1 N)
(-.f64 (/.f64 1 N) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 N 3))) (/.f64 1 N)) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 N 3))) (/.f64 1 N)) (+.f64 (*.f64 1/4 (/.f64 1 (pow.f64 N 4))) (*.f64 1/2 (/.f64 1 (pow.f64 N 2)))))
(/.f64 1 N)
(-.f64 (/.f64 1 N) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 N 3))) (/.f64 1 N)) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 N 3))) (/.f64 1 N)) (+.f64 (*.f64 1/4 (/.f64 1 (pow.f64 N 4))) (*.f64 1/2 (/.f64 1 (pow.f64 N 2)))))
(/.f64 1 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 (log.f64 N))
(+.f64 N (*.f64 -1 (log.f64 N)))
(+.f64 N (*.f64 -1 (log.f64 N)))
(+.f64 N (*.f64 -1 (log.f64 N)))
N
(+.f64 N (log.f64 (/.f64 1 N)))
(+.f64 N (log.f64 (/.f64 1 N)))
(+.f64 N (log.f64 (/.f64 1 N)))
N
(+.f64 N (*.f64 -1 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 N))))))
(+.f64 N (*.f64 -1 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 N))))))
(+.f64 N (*.f64 -1 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 N))))))
(/.f64 1/3 (pow.f64 N 3))
(-.f64 (*.f64 1/3 (/.f64 1 (pow.f64 N 3))) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (+.f64 (/.f64 1 N) (*.f64 1/3 (/.f64 1 (pow.f64 N 3)))) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (+.f64 (/.f64 1 N) (*.f64 1/3 (/.f64 1 (pow.f64 N 3)))) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(/.f64 1 N)
(-.f64 (/.f64 1 N) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 N 3))) (/.f64 1 N)) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 N 3))) (/.f64 1 N)) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
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(-.f64 (+.f64 (log1p.f64 N) (log.f64 -1)) (log.f64 (neg.f64 N)))
(-.f64 (+.f64 (neg.f64 (log.f64 N)) (log1p.f64 (pow.f64 N 3))) (log.f64 (fma.f64 N N (-.f64 1 N))))
(-.f64 (+.f64 (neg.f64 (log.f64 N)) (log.f64 (fma.f64 N N -1))) (log.f64 (+.f64 N -1)))
(-.f64 (+.f64 (neg.f64 (log.f64 N)) (exp.f64 (log1p.f64 (log1p.f64 N)))) 1)
(-.f64 (+.f64 0 (/.f64 (pow.f64 (log1p.f64 N) 2) (+.f64 (log.f64 N) (log1p.f64 N)))) (/.f64 (pow.f64 (log.f64 N) 2) (+.f64 (log.f64 N) (log1p.f64 N))))
(-.f64 (+.f64 0 (/.f64 (pow.f64 (log1p.f64 N) 3) (+.f64 (pow.f64 (log1p.f64 N) 2) (*.f64 (log.f64 N) (+.f64 (log.f64 N) (log1p.f64 N)))))) (/.f64 (pow.f64 (log.f64 N) 3) (+.f64 (pow.f64 (log1p.f64 N) 2) (*.f64 (log.f64 N) (+.f64 (log.f64 N) (log1p.f64 N))))))
(-.f64 (+.f64 0 (log.f64 (-.f64 -1 N))) (log.f64 (neg.f64 N)))
(-.f64 (+.f64 0 (exp.f64 (log1p.f64 (-.f64 (log1p.f64 N) (log.f64 N))))) 1)
(-.f64 (-.f64 (log1p.f64 N) 0) (log.f64 N))
(-.f64 (-.f64 (log1p.f64 N) (log.f64 (pow.f64 (cbrt.f64 N) 2))) (log.f64 (cbrt.f64 N)))
(-.f64 (-.f64 (log1p.f64 N) (log.f64 (sqrt.f64 N))) (log.f64 (sqrt.f64 N)))
(*.f64 1 (-.f64 (log1p.f64 N) (log.f64 N)))
(*.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 1)
(*.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) 2) (pow.f64 (log.f64 N) 2)) (/.f64 1 (+.f64 (log.f64 N) (log1p.f64 N))))
(*.f64 (-.f64 (pow.f64 (log1p.f64 N) 3) (pow.f64 (log.f64 N) 3)) (/.f64 1 (+.f64 (pow.f64 (log1p.f64 N) 2) (*.f64 (log.f64 N) (+.f64 (log.f64 N) (log1p.f64 N))))))
(*.f64 (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 1/4) (*.f64 (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 1/4) (sqrt.f64 (-.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 (cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))) (*.f64 (cbrt.f64 (sqrt.f64 (-.f64 (log1p.f64 N) (log.f64 N)))) (sqrt.f64 (-.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 (*.f64 (sqrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))) (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 1/4)) (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 1/4))
(*.f64 (*.f64 (sqrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))) (cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N)))) (cbrt.f64 (sqrt.f64 (-.f64 (log1p.f64 N) (log.f64 N)))))
(*.f64 (+.f64 (sqrt.f64 (log.f64 N)) (sqrt.f64 (log1p.f64 N))) (-.f64 (sqrt.f64 (log1p.f64 N)) (sqrt.f64 (log.f64 N))))
(/.f64 1 (/.f64 1 (-.f64 (log1p.f64 N) (log.f64 N))))
(/.f64 (-.f64 (pow.f64 (log1p.f64 N) 2) (pow.f64 (log.f64 N) 2)) (+.f64 (log.f64 N) (log1p.f64 N)))
(/.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (/.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (-.f64 (log1p.f64 N) (log.f64 N))))
(/.f64 (-.f64 (pow.f64 (log1p.f64 N) 3) (pow.f64 (log.f64 N) 3)) (+.f64 (pow.f64 (log1p.f64 N) 2) (*.f64 (log.f64 N) (+.f64 (log.f64 N) (log1p.f64 N)))))
(/.f64 (+.f64 (pow.f64 (log1p.f64 N) 2) (*.f64 (log.f64 N) (+.f64 (log.f64 N) (log1p.f64 N)))) (/.f64 (+.f64 (pow.f64 (log1p.f64 N) 2) (*.f64 (log.f64 N) (+.f64 (log.f64 N) (log1p.f64 N)))) (-.f64 (log1p.f64 N) (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))))
(/.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 (neg.f64 (-.f64 (pow.f64 (log1p.f64 N) 2) (pow.f64 (log.f64 N) 2))) (neg.f64 (+.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 (log.f64 N) (log1p.f64 N))))))
(/.f64 (sqrt.f64 (-.f64 (pow.f64 (log1p.f64 N) 2) (pow.f64 (log.f64 N) 2))) (/.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (sqrt.f64 (-.f64 (pow.f64 (log1p.f64 N) 2) (pow.f64 (log.f64 N) 2)))))
(/.f64 (sqrt.f64 (-.f64 (pow.f64 (log1p.f64 N) 3) (pow.f64 (log.f64 N) 3))) (/.f64 (+.f64 (pow.f64 (log1p.f64 N) 2) (*.f64 (log.f64 N) (+.f64 (log.f64 N) (log1p.f64 N)))) (sqrt.f64 (-.f64 (pow.f64 (log1p.f64 N) 3) (pow.f64 (log.f64 N) 3)))))
(/.f64 (*.f64 (cbrt.f64 (-.f64 (pow.f64 (log1p.f64 N) 2) (pow.f64 (log.f64 N) 2))) (cbrt.f64 (-.f64 (pow.f64 (log1p.f64 N) 2) (pow.f64 (log.f64 N) 2)))) (/.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (cbrt.f64 (-.f64 (pow.f64 (log1p.f64 N) 2) (pow.f64 (log.f64 N) 2)))))
(/.f64 (*.f64 (cbrt.f64 (-.f64 (pow.f64 (log1p.f64 N) 3) (pow.f64 (log.f64 N) 3))) (cbrt.f64 (-.f64 (pow.f64 (log1p.f64 N) 3) (pow.f64 (log.f64 N) 3)))) (/.f64 (+.f64 (pow.f64 (log1p.f64 N) 2) (*.f64 (log.f64 N) (+.f64 (log.f64 N) (log1p.f64 N)))) (cbrt.f64 (-.f64 (pow.f64 (log1p.f64 N) 3) (pow.f64 (log.f64 N) 3)))))
(neg.f64 (log.f64 (/.f64 N (+.f64 N 1))))
(sqrt.f64 (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 2))
(log.f64 (/.f64 (+.f64 N 1) N))
(log.f64 (+.f64 1 (-.f64 (/.f64 (+.f64 N 1) N) 1)))
(cbrt.f64 (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 3))
(expm1.f64 (log1p.f64 (-.f64 (log1p.f64 N) (log.f64 N))))
(exp.f64 (log.f64 (-.f64 (log1p.f64 N) (log.f64 N))))
(exp.f64 (*.f64 (log.f64 (-.f64 (log1p.f64 N) (log.f64 N))) 1))
(log1p.f64 (-.f64 (/.f64 (+.f64 N 1) N) 1))
(fma.f64 1 (log1p.f64 N) (neg.f64 (log.f64 N)))
(fma.f64 (sqrt.f64 (log1p.f64 N)) (sqrt.f64 (log1p.f64 N)) (neg.f64 (log.f64 N)))
(fma.f64 (pow.f64 (cbrt.f64 (log1p.f64 N)) 2) (cbrt.f64 (log1p.f64 N)) (neg.f64 (log.f64 N)))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))))) 1)
(*.f64 1 (sqrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))))
(*.f64 (sqrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))) 1)
(*.f64 (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 1/4) (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 1/4))
(*.f64 (cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))) (cbrt.f64 (sqrt.f64 (-.f64 (log1p.f64 N) (log.f64 N)))))
(*.f64 (cbrt.f64 (sqrt.f64 (-.f64 (log1p.f64 N) (log.f64 N)))) (cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))) 2)) (sqrt.f64 (cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N)))))
(*.f64 (pow.f64 1 1/2) (sqrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))) 2) 1/2) (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))) 1/2))
(/.f64 (sqrt.f64 (-.f64 (pow.f64 (log1p.f64 N) 2) (pow.f64 (log.f64 N) 2))) (sqrt.f64 (+.f64 (log.f64 N) (log1p.f64 N))))
(/.f64 (sqrt.f64 (-.f64 (pow.f64 (log1p.f64 N) 3) (pow.f64 (log.f64 N) 3))) (sqrt.f64 (+.f64 (pow.f64 (log1p.f64 N) 2) (*.f64 (log.f64 N) (+.f64 (log.f64 N) (log1p.f64 N))))))
(pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 1/2)
(pow.f64 (sqrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))) 1)
(pow.f64 (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 1/4) 2)
(pow.f64 (cbrt.f64 (sqrt.f64 (-.f64 (log1p.f64 N) (log.f64 N)))) 3)
(pow.f64 (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 3/2) 1/3)
(fabs.f64 (sqrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))))
(log.f64 (exp.f64 (sqrt.f64 (-.f64 (log1p.f64 N) (log.f64 N)))))
(log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))))))
(cbrt.f64 (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 3/2))
(expm1.f64 (log1p.f64 (sqrt.f64 (-.f64 (log1p.f64 N) (log.f64 N)))))
(exp.f64 (log.f64 (sqrt.f64 (-.f64 (log1p.f64 N) (log.f64 N)))))
(exp.f64 (*.f64 (log.f64 (-.f64 (log1p.f64 N) (log.f64 N))) 1/2))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (-.f64 (log1p.f64 N) (log.f64 N)))) 1))
(log1p.f64 (expm1.f64 (sqrt.f64 (-.f64 (log1p.f64 N) (log.f64 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 (pow.f64 N 2)))
(+.f64 (*.f64 -1/2 (pow.f64 N 2)) (-.f64 N (log.f64 N)))
(+.f64 N (+.f64 (*.f64 -1 (log.f64 N)) (+.f64 (*.f64 -1/2 (pow.f64 N 2)) (*.f64 1/3 (pow.f64 N 3)))))
(+.f64 (-.f64 N (log.f64 N)) (fma.f64 -1/2 (pow.f64 N 2) (*.f64 1/3 (pow.f64 N 3))))
(+.f64 (fma.f64 -1/2 (pow.f64 N 2) (*.f64 1/3 (pow.f64 N 3))) (-.f64 N (log.f64 N)))
(/.f64 1 N)
(-.f64 (/.f64 1 N) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (/.f64 1 N) (/.f64 1/2 (pow.f64 N 2)))
(+.f64 (/.f64 1 N) (/.f64 -1/2 (pow.f64 N 2)))
(-.f64 (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 N 3))) (/.f64 1 N)) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (-.f64 (/.f64 1 N) (/.f64 1/2 (pow.f64 N 2))))
(+.f64 (/.f64 1 N) (+.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 -1/2 (pow.f64 N 2))))
(-.f64 (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 N 3))) (/.f64 1 N)) (+.f64 (*.f64 1/4 (/.f64 1 (pow.f64 N 4))) (*.f64 1/2 (/.f64 1 (pow.f64 N 2)))))
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (-.f64 (/.f64 1 N) (+.f64 (/.f64 1/2 (pow.f64 N 2)) (/.f64 1/4 (pow.f64 N 4)))))
(+.f64 (/.f64 1 N) (-.f64 (/.f64 1/3 (pow.f64 N 3)) (+.f64 (/.f64 1/2 (pow.f64 N 2)) (/.f64 1/4 (pow.f64 N 4)))))
(/.f64 1 N)
(-.f64 (/.f64 1 N) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (/.f64 1 N) (/.f64 1/2 (pow.f64 N 2)))
(+.f64 (/.f64 1 N) (/.f64 -1/2 (pow.f64 N 2)))
(-.f64 (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 N 3))) (/.f64 1 N)) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (-.f64 (/.f64 1 N) (/.f64 1/2 (pow.f64 N 2))))
(+.f64 (/.f64 1 N) (+.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 -1/2 (pow.f64 N 2))))
(-.f64 (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 N 3))) (/.f64 1 N)) (+.f64 (*.f64 1/4 (/.f64 1 (pow.f64 N 4))) (*.f64 1/2 (/.f64 1 (pow.f64 N 2)))))
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (-.f64 (/.f64 1 N) (+.f64 (/.f64 1/2 (pow.f64 N 2)) (/.f64 1/4 (pow.f64 N 4)))))
(+.f64 (/.f64 1 N) (-.f64 (/.f64 1/3 (pow.f64 N 3)) (+.f64 (/.f64 1/2 (pow.f64 N 2)) (/.f64 1/4 (pow.f64 N 4)))))
(/.f64 1 N)
(+.f64 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 (log.f64 N))
(neg.f64 (log.f64 N))
(+.f64 N (*.f64 -1 (log.f64 N)))
(-.f64 N (log.f64 N))
(+.f64 N (*.f64 -1 (log.f64 N)))
(-.f64 N (log.f64 N))
(+.f64 N (*.f64 -1 (log.f64 N)))
(-.f64 N (log.f64 N))
N
(+.f64 N (log.f64 (/.f64 1 N)))
(-.f64 N (log.f64 N))
(+.f64 N (log.f64 (/.f64 1 N)))
(-.f64 N (log.f64 N))
(+.f64 N (log.f64 (/.f64 1 N)))
(-.f64 N (log.f64 N))
N
(+.f64 N (*.f64 -1 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 N))))))
(+.f64 N (neg.f64 (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 N))))))
(+.f64 N (*.f64 -1 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 N))))))
(+.f64 N (neg.f64 (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 N))))))
(+.f64 N (*.f64 -1 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 N))))))
(+.f64 N (neg.f64 (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 N))))))
(/.f64 1/3 (pow.f64 N 3))
(-.f64 (*.f64 1/3 (/.f64 1 (pow.f64 N 3))) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 1/2 (pow.f64 N 2)))
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 -1/2 (pow.f64 N 2)))
(-.f64 (+.f64 (/.f64 1 N) (*.f64 1/3 (/.f64 1 (pow.f64 N 3)))) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (-.f64 (/.f64 1 N) (/.f64 1/2 (pow.f64 N 2))))
(+.f64 (/.f64 1 N) (+.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 -1/2 (pow.f64 N 2))))
(-.f64 (+.f64 (/.f64 1 N) (*.f64 1/3 (/.f64 1 (pow.f64 N 3)))) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (-.f64 (/.f64 1 N) (/.f64 1/2 (pow.f64 N 2))))
(+.f64 (/.f64 1 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 1 N) (/.f64 1/2 (pow.f64 N 2)))
(+.f64 (/.f64 1 N) (/.f64 -1/2 (pow.f64 N 2)))
(-.f64 (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 N 3))) (/.f64 1 N)) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (-.f64 (/.f64 1 N) (/.f64 1/2 (pow.f64 N 2))))
(+.f64 (/.f64 1 N) (+.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 -1/2 (pow.f64 N 2))))
(-.f64 (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 N 3))) (/.f64 1 N)) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (-.f64 (/.f64 1 N) (/.f64 1/2 (pow.f64 N 2))))
(+.f64 (/.f64 1 N) (+.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 -1/2 (pow.f64 N 2))))
(/.f64 1 N)
(-.f64 (/.f64 1 N) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (/.f64 1 N) (/.f64 1/2 (pow.f64 N 2)))
(+.f64 (/.f64 1 N) (/.f64 -1/2 (pow.f64 N 2)))
(-.f64 (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 N 3))) (/.f64 1 N)) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (-.f64 (/.f64 1 N) (/.f64 1/2 (pow.f64 N 2))))
(+.f64 (/.f64 1 N) (+.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 -1/2 (pow.f64 N 2))))
(-.f64 (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 N 3))) (/.f64 1 N)) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (-.f64 (/.f64 1 N) (/.f64 1/2 (pow.f64 N 2))))
(+.f64 (/.f64 1 N) (+.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 -1/2 (pow.f64 N 2))))
(/.f64 -1/2 (pow.f64 N 2))
(-.f64 (/.f64 1 N) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (/.f64 1 N) (/.f64 1/2 (pow.f64 N 2)))
(+.f64 (/.f64 1 N) (/.f64 -1/2 (pow.f64 N 2)))
(-.f64 (/.f64 1 N) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (/.f64 1 N) (/.f64 1/2 (pow.f64 N 2)))
(+.f64 (/.f64 1 N) (/.f64 -1/2 (pow.f64 N 2)))
(-.f64 (/.f64 1 N) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (/.f64 1 N) (/.f64 1/2 (pow.f64 N 2)))
(+.f64 (/.f64 1 N) (/.f64 -1/2 (pow.f64 N 2)))
(/.f64 1 N)
(-.f64 (/.f64 1 N) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (/.f64 1 N) (/.f64 1/2 (pow.f64 N 2)))
(+.f64 (/.f64 1 N) (/.f64 -1/2 (pow.f64 N 2)))
(-.f64 (/.f64 1 N) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (/.f64 1 N) (/.f64 1/2 (pow.f64 N 2)))
(+.f64 (/.f64 1 N) (/.f64 -1/2 (pow.f64 N 2)))
(-.f64 (/.f64 1 N) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (/.f64 1 N) (/.f64 1/2 (pow.f64 N 2)))
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(*.f64 (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 1/4) (*.f64 (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 1/4) (sqrt.f64 (-.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 (cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))) (*.f64 (cbrt.f64 (sqrt.f64 (-.f64 (log1p.f64 N) (log.f64 N)))) (sqrt.f64 (-.f64 (log1p.f64 N) (log.f64 N)))))
(*.f64 (cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))) (*.f64 (sqrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))) (cbrt.f64 (sqrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))))))
(*.f64 (cbrt.f64 (sqrt.f64 (-.f64 (log1p.f64 N) (log.f64 N)))) (*.f64 (sqrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))) (cbrt.f64 (-.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 (*.f64 (sqrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))) (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 1/4)) (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 1/4))
(-.f64 (log1p.f64 N) (log.f64 N))
(*.f64 (*.f64 (sqrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))) (cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N)))) (cbrt.f64 (sqrt.f64 (-.f64 (log1p.f64 N) (log.f64 N)))))
(*.f64 (cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))) (*.f64 (sqrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))) (cbrt.f64 (sqrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))))))
(*.f64 (cbrt.f64 (sqrt.f64 (-.f64 (log1p.f64 N) (log.f64 N)))) (*.f64 (sqrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))) (cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N)))))
(*.f64 (+.f64 (sqrt.f64 (log.f64 N)) (sqrt.f64 (log1p.f64 N))) (-.f64 (sqrt.f64 (log1p.f64 N)) (sqrt.f64 (log.f64 N))))
(/.f64 1 (/.f64 1 (-.f64 (log1p.f64 N) (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 (log.f64 N) (log1p.f64 N)))
(/.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (/.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (-.f64 (log1p.f64 N) (log.f64 N))))
(*.f64 (/.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (+.f64 (log.f64 N) (log1p.f64 N))) (-.f64 (log1p.f64 N) (log.f64 N)))
(*.f64 (-.f64 (log1p.f64 N) (log.f64 N)) (/.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (+.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 (log.f64 N) (log1p.f64 N)))))
(/.f64 (+.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) 2) (*.f64 (log.f64 N) (+.f64 (log.f64 N) (log1p.f64 N)))) (-.f64 (log1p.f64 N) (log.f64 N))))
(*.f64 (/.f64 (+.f64 (pow.f64 (log1p.f64 N) 2) (*.f64 (log.f64 N) (+.f64 (log.f64 N) (log1p.f64 N)))) (+.f64 (pow.f64 (log1p.f64 N) 2) (*.f64 (log.f64 N) (+.f64 (log.f64 N) (log1p.f64 N))))) (-.f64 (log1p.f64 N) (log.f64 N)))
(*.f64 (-.f64 (log1p.f64 N) (log.f64 N)) (/.f64 (+.f64 (pow.f64 (log1p.f64 N) 2) (*.f64 (log.f64 N) (+.f64 (log.f64 N) (log1p.f64 N)))) (+.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) 2) (*.f64 (neg.f64 (log.f64 N)) (neg.f64 (log.f64 N)))) (-.f64 (log1p.f64 N) (neg.f64 (log.f64 N))))
(/.f64 (-.f64 (pow.f64 (log1p.f64 N) 2) (pow.f64 (log.f64 N) 2)) (+.f64 (log.f64 N) (log1p.f64 N)))
(/.f64 (+.f64 (pow.f64 (log1p.f64 N) 3) (pow.f64 (neg.f64 (log.f64 N)) 3)) (+.f64 (pow.f64 (log1p.f64 N) 2) (-.f64 (*.f64 (neg.f64 (log.f64 N)) (neg.f64 (log.f64 N))) (*.f64 (log1p.f64 N) (neg.f64 (log.f64 N))))))
(/.f64 (-.f64 (pow.f64 (log1p.f64 N) 3) (pow.f64 (log.f64 N) 3)) (+.f64 (pow.f64 (log1p.f64 N) 2) (*.f64 (neg.f64 (log.f64 N)) (-.f64 (neg.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 (neg.f64 (log.f64 N)) (neg.f64 (+.f64 (log.f64 N) (log1p.f64 N))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (log1p.f64 N) 2) (pow.f64 (log.f64 N) 2))) (neg.f64 (+.f64 (log.f64 N) (log1p.f64 N))))
(neg.f64 (/.f64 (-.f64 (pow.f64 (log1p.f64 N) 2) (pow.f64 (log.f64 N) 2)) (neg.f64 (+.f64 (log.f64 N) (log1p.f64 N)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (log1p.f64 N) 3) (pow.f64 (log.f64 N) 3))) (neg.f64 (+.f64 (pow.f64 (log1p.f64 N) 2) (*.f64 (log.f64 N) (+.f64 (log.f64 N) (log1p.f64 N))))))
(/.f64 (sqrt.f64 (-.f64 (pow.f64 (log1p.f64 N) 2) (pow.f64 (log.f64 N) 2))) (/.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (sqrt.f64 (-.f64 (pow.f64 (log1p.f64 N) 2) (pow.f64 (log.f64 N) 2)))))
(*.f64 (/.f64 (sqrt.f64 (-.f64 (pow.f64 (log1p.f64 N) 2) (pow.f64 (log.f64 N) 2))) (+.f64 (log.f64 N) (log1p.f64 N))) (sqrt.f64 (-.f64 (pow.f64 (log1p.f64 N) 2) (pow.f64 (log.f64 N) 2))))
(*.f64 (sqrt.f64 (-.f64 (pow.f64 (log1p.f64 N) 2) (pow.f64 (log.f64 N) 2))) (/.f64 (sqrt.f64 (-.f64 (pow.f64 (log1p.f64 N) 2) (pow.f64 (log.f64 N) 2))) (+.f64 (log.f64 N) (log1p.f64 N))))
(/.f64 (sqrt.f64 (-.f64 (pow.f64 (log1p.f64 N) 3) (pow.f64 (log.f64 N) 3))) (/.f64 (+.f64 (pow.f64 (log1p.f64 N) 2) (*.f64 (log.f64 N) (+.f64 (log.f64 N) (log1p.f64 N)))) (sqrt.f64 (-.f64 (pow.f64 (log1p.f64 N) 3) (pow.f64 (log.f64 N) 3)))))
(*.f64 (sqrt.f64 (-.f64 (pow.f64 (log1p.f64 N) 3) (pow.f64 (log.f64 N) 3))) (/.f64 (sqrt.f64 (-.f64 (pow.f64 (log1p.f64 N) 3) (pow.f64 (log.f64 N) 3))) (+.f64 (pow.f64 (log1p.f64 N) 2) (*.f64 (log.f64 N) (+.f64 (log.f64 N) (log1p.f64 N))))))
(/.f64 (*.f64 (cbrt.f64 (-.f64 (pow.f64 (log1p.f64 N) 2) (pow.f64 (log.f64 N) 2))) (cbrt.f64 (-.f64 (pow.f64 (log1p.f64 N) 2) (pow.f64 (log.f64 N) 2)))) (/.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (cbrt.f64 (-.f64 (pow.f64 (log1p.f64 N) 2) (pow.f64 (log.f64 N) 2)))))
(/.f64 (cbrt.f64 (-.f64 (pow.f64 (log1p.f64 N) 2) (pow.f64 (log.f64 N) 2))) (/.f64 (/.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (cbrt.f64 (-.f64 (pow.f64 (log1p.f64 N) 2) (pow.f64 (log.f64 N) 2)))) (cbrt.f64 (-.f64 (pow.f64 (log1p.f64 N) 2) (pow.f64 (log.f64 N) 2)))))
(/.f64 (*.f64 (cbrt.f64 (-.f64 (pow.f64 (log1p.f64 N) 3) (pow.f64 (log.f64 N) 3))) (cbrt.f64 (-.f64 (pow.f64 (log1p.f64 N) 3) (pow.f64 (log.f64 N) 3)))) (/.f64 (+.f64 (pow.f64 (log1p.f64 N) 2) (*.f64 (log.f64 N) (+.f64 (log.f64 N) (log1p.f64 N)))) (cbrt.f64 (-.f64 (pow.f64 (log1p.f64 N) 3) (pow.f64 (log.f64 N) 3)))))
(*.f64 (/.f64 (*.f64 (cbrt.f64 (-.f64 (pow.f64 (log1p.f64 N) 3) (pow.f64 (log.f64 N) 3))) (cbrt.f64 (-.f64 (pow.f64 (log1p.f64 N) 3) (pow.f64 (log.f64 N) 3)))) (+.f64 (pow.f64 (log1p.f64 N) 2) (*.f64 (log.f64 N) (+.f64 (log.f64 N) (log1p.f64 N))))) (cbrt.f64 (-.f64 (pow.f64 (log1p.f64 N) 3) (pow.f64 (log.f64 N) 3))))
(*.f64 (cbrt.f64 (-.f64 (pow.f64 (log1p.f64 N) 3) (pow.f64 (log.f64 N) 3))) (/.f64 (*.f64 (cbrt.f64 (-.f64 (pow.f64 (log1p.f64 N) 3) (pow.f64 (log.f64 N) 3))) (cbrt.f64 (-.f64 (pow.f64 (log1p.f64 N) 3) (pow.f64 (log.f64 N) 3)))) (+.f64 (pow.f64 (log1p.f64 N) 2) (*.f64 (log.f64 N) (+.f64 (log.f64 N) (log1p.f64 N))))))
(neg.f64 (log.f64 (/.f64 N (+.f64 N 1))))
(sqrt.f64 (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 2))
(log.f64 (/.f64 (+.f64 N 1) N))
(log.f64 (+.f64 1 (-.f64 (/.f64 (+.f64 N 1) N) 1)))
(log1p.f64 (+.f64 (/.f64 (+.f64 N 1) N) -1))
(log.f64 (+.f64 (/.f64 (+.f64 N 1) N) 0))
(cbrt.f64 (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 3))
(-.f64 (log1p.f64 N) (log.f64 N))
(expm1.f64 (log1p.f64 (-.f64 (log1p.f64 N) (log.f64 N))))
(-.f64 (log1p.f64 N) (log.f64 N))
(exp.f64 (log.f64 (-.f64 (log1p.f64 N) (log.f64 N))))
(-.f64 (log1p.f64 N) (log.f64 N))
(exp.f64 (*.f64 (log.f64 (-.f64 (log1p.f64 N) (log.f64 N))) 1))
(-.f64 (log1p.f64 N) (log.f64 N))
(log1p.f64 (-.f64 (/.f64 (+.f64 N 1) N) 1))
(log1p.f64 (+.f64 (/.f64 (+.f64 N 1) N) -1))
(log.f64 (+.f64 (/.f64 (+.f64 N 1) N) 0))
(fma.f64 1 (log1p.f64 N) (neg.f64 (log.f64 N)))
(fma.f64 (sqrt.f64 (log1p.f64 N)) (sqrt.f64 (log1p.f64 N)) (neg.f64 (log.f64 N)))
(fma.f64 (pow.f64 (cbrt.f64 (log1p.f64 N)) 2) (cbrt.f64 (log1p.f64 N)) (neg.f64 (log.f64 N)))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))))) 1)
(sqrt.f64 (-.f64 (log1p.f64 N) (log.f64 N)))
(*.f64 1 (sqrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))))
(sqrt.f64 (-.f64 (log1p.f64 N) (log.f64 N)))
(*.f64 (sqrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))) 1)
(sqrt.f64 (-.f64 (log1p.f64 N) (log.f64 N)))
(*.f64 (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 1/4) (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 1/4))
(sqrt.f64 (-.f64 (log1p.f64 N) (log.f64 N)))
(*.f64 (cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))) (cbrt.f64 (sqrt.f64 (-.f64 (log1p.f64 N) (log.f64 N)))))
(*.f64 (cbrt.f64 (sqrt.f64 (-.f64 (log1p.f64 N) (log.f64 N)))) (cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))))
(*.f64 (cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))) (cbrt.f64 (sqrt.f64 (-.f64 (log1p.f64 N) (log.f64 N)))))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))) 2)) (sqrt.f64 (cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N)))))
(*.f64 (pow.f64 1 1/2) (sqrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))))
(sqrt.f64 (-.f64 (log1p.f64 N) (log.f64 N)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))) 2) 1/2) (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))) 1/2))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))) 2)) (sqrt.f64 (cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N)))))
(/.f64 (sqrt.f64 (-.f64 (pow.f64 (log1p.f64 N) 2) (pow.f64 (log.f64 N) 2))) (sqrt.f64 (+.f64 (log.f64 N) (log1p.f64 N))))
(/.f64 (sqrt.f64 (-.f64 (pow.f64 (log1p.f64 N) 3) (pow.f64 (log.f64 N) 3))) (sqrt.f64 (+.f64 (pow.f64 (log1p.f64 N) 2) (*.f64 (log.f64 N) (+.f64 (log.f64 N) (log1p.f64 N))))))
(pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 1/2)
(sqrt.f64 (-.f64 (log1p.f64 N) (log.f64 N)))
(pow.f64 (sqrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))) 1)
(sqrt.f64 (-.f64 (log1p.f64 N) (log.f64 N)))
(pow.f64 (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 1/4) 2)
(sqrt.f64 (-.f64 (log1p.f64 N) (log.f64 N)))
(pow.f64 (cbrt.f64 (sqrt.f64 (-.f64 (log1p.f64 N) (log.f64 N)))) 3)
(sqrt.f64 (-.f64 (log1p.f64 N) (log.f64 N)))
(pow.f64 (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 3/2) 1/3)
(cbrt.f64 (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 3/2))
(fabs.f64 (sqrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))))
(log.f64 (exp.f64 (sqrt.f64 (-.f64 (log1p.f64 N) (log.f64 N)))))
(sqrt.f64 (-.f64 (log1p.f64 N) (log.f64 N)))
(log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))))))
(sqrt.f64 (-.f64 (log1p.f64 N) (log.f64 N)))
(cbrt.f64 (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 3/2))
(expm1.f64 (log1p.f64 (sqrt.f64 (-.f64 (log1p.f64 N) (log.f64 N)))))
(sqrt.f64 (-.f64 (log1p.f64 N) (log.f64 N)))
(exp.f64 (log.f64 (sqrt.f64 (-.f64 (log1p.f64 N) (log.f64 N)))))
(sqrt.f64 (-.f64 (log1p.f64 N) (log.f64 N)))
(exp.f64 (*.f64 (log.f64 (-.f64 (log1p.f64 N) (log.f64 N))) 1/2))
(sqrt.f64 (-.f64 (log1p.f64 N) (log.f64 N)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (-.f64 (log1p.f64 N) (log.f64 N)))) 1))
(sqrt.f64 (-.f64 (log1p.f64 N) (log.f64 N)))
(log1p.f64 (expm1.f64 (sqrt.f64 (-.f64 (log1p.f64 N) (log.f64 N)))))
(sqrt.f64 (-.f64 (log1p.f64 N) (log.f64 N)))

eval546.0ms (4.8%)

Compiler

Compiled 26994 to 15676 computations (41.9% saved)

prune305.0ms (2.7%)

Pruning

15 alts after pruning (10 fresh and 5 done)

PrunedKeptTotal
New107051075
Fresh156
Picked145
Done011
Total1072151087
Accuracy
100.0%
Counts
1087 → 15
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶53.2%
(pow.f64 (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 3) 1/3)
✓54.0%
(pow.f64 (sqrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))) 2)
54.0%
(pow.f64 (log.f64 (exp.f64 (sqrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))))) 2)
54.2%
(/.f64 (-.f64 (pow.f64 (log1p.f64 N) 4) (pow.f64 (log.f64 N) 4)) (*.f64 (+.f64 (log1p.f64 N) (log.f64 N)) (+.f64 (pow.f64 (log1p.f64 N) 2) (pow.f64 (log.f64 N) 2))))
✓51.5%
(/.f64 1 N)
49.6%
(-.f64 (/.f64 1 N) (/.f64 1/2 (pow.f64 N 2)))
✓54.3%
(-.f64 (log1p.f64 N) (log.f64 N))
✓51.5%
(-.f64 N (log.f64 N))
49.9%
(+.f64 (/.f64 1 N) (-.f64 (/.f64 1/3 (pow.f64 N 3)) (+.f64 (/.f64 1/2 (pow.f64 N 2)) (/.f64 1/4 (pow.f64 N 4)))))
▶17.5%
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 (*.f64 N (-.f64 N 1/2)) (pow.f64 N 3)))
▶31.4%
(+.f64 (+.f64 (log1p.f64 N) (log.f64 (cbrt.f64 (pow.f64 N -2)))) (log.f64 (cbrt.f64 (/.f64 1 N))))
▶54.5%
(neg.f64 (log.f64 (/.f64 N (+.f64 N 1))))
▶49.9%
(neg.f64 (log.f64 N))
✓54.4%
(log.f64 (/.f64 (+.f64 N 1) N))
4.8%
N
▶53.2%
(pow.f64 (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 3) 1/3)
✓54.0%
(pow.f64 (sqrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))) 2)
54.0%
(pow.f64 (log.f64 (exp.f64 (sqrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))))) 2)
54.2%
(/.f64 (-.f64 (pow.f64 (log1p.f64 N) 4) (pow.f64 (log.f64 N) 4)) (*.f64 (+.f64 (log1p.f64 N) (log.f64 N)) (+.f64 (pow.f64 (log1p.f64 N) 2) (pow.f64 (log.f64 N) 2))))
✓51.5%
(/.f64 1 N)
49.6%
(-.f64 (/.f64 1 N) (/.f64 1/2 (pow.f64 N 2)))
✓54.3%
(-.f64 (log1p.f64 N) (log.f64 N))
✓51.5%
(-.f64 N (log.f64 N))
49.9%
(+.f64 (/.f64 1 N) (-.f64 (/.f64 1/3 (pow.f64 N 3)) (+.f64 (/.f64 1/2 (pow.f64 N 2)) (/.f64 1/4 (pow.f64 N 4)))))
▶17.5%
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 (*.f64 N (-.f64 N 1/2)) (pow.f64 N 3)))
▶31.4%
(+.f64 (+.f64 (log1p.f64 N) (log.f64 (cbrt.f64 (pow.f64 N -2)))) (log.f64 (cbrt.f64 (/.f64 1 N))))
▶54.5%
(neg.f64 (log.f64 (/.f64 N (+.f64 N 1))))
▶49.9%
(neg.f64 (log.f64 N))
✓54.4%
(log.f64 (/.f64 (+.f64 N 1) N))
4.8%
N
Compiler

Compiled 554 to 414 computations (25.3% saved)

localize553.0ms (4.9%)

Localize:

Found 13 expressions with local error:

NewAccuracyProgram
✓99.3%
(+.f64 (log1p.f64 N) (log.f64 (cbrt.f64 (pow.f64 N -2))))
✓99.1%
(cbrt.f64 (/.f64 1 N))
✓55.1%
(cbrt.f64 (pow.f64 N -2))
✓54.2%
(+.f64 (+.f64 (log1p.f64 N) (log.f64 (cbrt.f64 (pow.f64 N -2)))) (log.f64 (cbrt.f64 (/.f64 1 N))))
✓99.2%
(pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 3)
✓67.4%
(pow.f64 (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 3) 1/3)
54.3%
(-.f64 (log1p.f64 N) (log.f64 N))
✓100.0%
(*.f64 N (-.f64 N 1/2))
99.3%
(/.f64 1/3 (pow.f64 N 3))
✓82.2%
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 (*.f64 N (-.f64 N 1/2)) (pow.f64 N 3)))
✓57.4%
(/.f64 (*.f64 N (-.f64 N 1/2)) (pow.f64 N 3))
✓100.0%
(/.f64 N (+.f64 N 1))
✓54.5%
(log.f64 (/.f64 N (+.f64 N 1)))
Compiler

Compiled 154 to 95 computations (38.3% saved)

series14.0ms (0.1%)

Counts
11 → 84
Calls

33 calls:

TimeVariablePointExpression
3.0ms
N
@0
(pow.f64 (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 3) 1/3)
1.0ms
N
@-inf
(pow.f64 (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 3) 1/3)
1.0ms
N
@-inf
(+.f64 (+.f64 (log1p.f64 N) (log.f64 (cbrt.f64 (pow.f64 N -2)))) (log.f64 (cbrt.f64 (/.f64 1 N))))
1.0ms
N
@-inf
(+.f64 (log1p.f64 N) (log.f64 (cbrt.f64 (pow.f64 N -2))))
1.0ms
N
@0
(+.f64 (+.f64 (log1p.f64 N) (log.f64 (cbrt.f64 (pow.f64 N -2)))) (log.f64 (cbrt.f64 (/.f64 1 N))))

rewrite280.0ms (2.5%)

Algorithm
1×batch-egg-rewrite
Rules
294×+-commutative
243×pow1
230×add-exp-log
226×add-log-exp
222×add-cbrt-cube
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
033276
1571261
27820261
Stop Event
1×node limit
Counts
11 → 476
Calls
Call 1
Inputs
(log.f64 (/.f64 N (+.f64 N 1)))
(/.f64 N (+.f64 N 1))
(/.f64 (*.f64 N (-.f64 N 1/2)) (pow.f64 N 3))
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 (*.f64 N (-.f64 N 1/2)) (pow.f64 N 3)))
(*.f64 N (-.f64 N 1/2))
(pow.f64 (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 3) 1/3)
(pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 3)
(+.f64 (+.f64 (log1p.f64 N) (log.f64 (cbrt.f64 (pow.f64 N -2)))) (log.f64 (cbrt.f64 (/.f64 1 N))))
(cbrt.f64 (pow.f64 N -2))
(cbrt.f64 (/.f64 1 N))
(+.f64 (log1p.f64 N) (log.f64 (cbrt.f64 (pow.f64 N -2))))
Outputs
(+.f64 (-.f64 (log.f64 N) (log1p.f64 N)) 0)
(+.f64 (-.f64 (log.f64 N) (log1p.f64 N)) (fma.f64 (neg.f64 (log1p.f64 N)) 1 (log1p.f64 N)))
(+.f64 (-.f64 (log.f64 N) (log1p.f64 N)) (fma.f64 (neg.f64 (sqrt.f64 (log1p.f64 N))) (sqrt.f64 (log1p.f64 N)) (log1p.f64 N)))
(+.f64 (-.f64 (log.f64 N) (log1p.f64 N)) (fma.f64 (neg.f64 (cbrt.f64 (log1p.f64 N))) (pow.f64 (cbrt.f64 (log1p.f64 N)) 2) (log1p.f64 N)))
(+.f64 (log.f64 N) (neg.f64 (log1p.f64 N)))
(+.f64 (log.f64 N) (*.f64 -1 (log1p.f64 N)))
(+.f64 (log.f64 N) (*.f64 (neg.f64 (sqrt.f64 (log1p.f64 N))) (sqrt.f64 (log1p.f64 N))))
(+.f64 (log.f64 N) (*.f64 (neg.f64 (pow.f64 (cbrt.f64 (log1p.f64 N)) 2)) (cbrt.f64 (log1p.f64 N))))
(+.f64 (log.f64 N) (log.f64 (/.f64 1 (+.f64 N 1))))
(+.f64 0 (-.f64 (log.f64 N) (log1p.f64 N)))
(+.f64 (neg.f64 (log1p.f64 N)) (log.f64 N))
(+.f64 (*.f64 -1 (log1p.f64 N)) (log.f64 N))
(+.f64 (*.f64 (neg.f64 (sqrt.f64 (log1p.f64 N))) (sqrt.f64 (log1p.f64 N))) (log.f64 N))
(+.f64 (*.f64 (neg.f64 (pow.f64 (cbrt.f64 (log1p.f64 N)) 2)) (cbrt.f64 (log1p.f64 N))) (log.f64 N))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (/.f64 N (+.f64 N 1))) 2)) (log.f64 (cbrt.f64 (/.f64 N (+.f64 N 1)))))
(+.f64 (log.f64 (/.f64 1 (+.f64 N 1))) (log.f64 N))
(+.f64 (log.f64 (cbrt.f64 (/.f64 N (+.f64 N 1)))) (log.f64 (pow.f64 (cbrt.f64 (/.f64 N (+.f64 N 1))) 2)))
(+.f64 (log.f64 (sqrt.f64 (/.f64 N (+.f64 N 1)))) (log.f64 (sqrt.f64 (/.f64 N (+.f64 N 1)))))
(+.f64 (fma.f64 (neg.f64 (log1p.f64 N)) 1 (log1p.f64 N)) (-.f64 (log.f64 N) (log1p.f64 N)))
(+.f64 (fma.f64 (neg.f64 (sqrt.f64 (log1p.f64 N))) (sqrt.f64 (log1p.f64 N)) (log1p.f64 N)) (-.f64 (log.f64 N) (log1p.f64 N)))
(+.f64 (fma.f64 (neg.f64 (cbrt.f64 (log1p.f64 N))) (pow.f64 (cbrt.f64 (log1p.f64 N)) 2) (log1p.f64 N)) (-.f64 (log.f64 N) (log1p.f64 N)))
(-.f64 (log.f64 N) (log1p.f64 N))
(-.f64 0 (-.f64 (log1p.f64 N) (log.f64 N)))
(-.f64 (log.f64 (neg.f64 N)) (log.f64 (+.f64 -1 (neg.f64 N))))
(-.f64 (exp.f64 (log1p.f64 (-.f64 (log.f64 N) (log1p.f64 N)))) 1)
(*.f64 1 (-.f64 (log.f64 N) (log1p.f64 N)))
(*.f64 (-.f64 (log.f64 N) (log1p.f64 N)) 1)
(*.f64 (sqrt.f64 (-.f64 (log.f64 N) (log1p.f64 N))) (sqrt.f64 (-.f64 (log.f64 N) (log1p.f64 N))))
(*.f64 (cbrt.f64 (-.f64 (log.f64 N) (log1p.f64 N))) (pow.f64 (cbrt.f64 (-.f64 (log.f64 N) (log1p.f64 N))) 2))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 (log.f64 N) (log1p.f64 N))) 2) (cbrt.f64 (-.f64 (log.f64 N) (log1p.f64 N))))
(*.f64 (+.f64 (sqrt.f64 (log.f64 N)) (sqrt.f64 (log1p.f64 N))) (-.f64 (sqrt.f64 (log.f64 N)) (sqrt.f64 (log1p.f64 N))))
(/.f64 (-.f64 (pow.f64 (log.f64 N) 2) (pow.f64 (log1p.f64 N) 2)) (+.f64 (log1p.f64 N) (log.f64 N)))
(/.f64 (-.f64 (pow.f64 (log.f64 N) 3) (pow.f64 (log1p.f64 N) 3)) (+.f64 (pow.f64 (log.f64 N) 2) (+.f64 (pow.f64 (log1p.f64 N) 2) (*.f64 (log1p.f64 N) (log.f64 N)))))
(pow.f64 (-.f64 (log.f64 N) (log1p.f64 N)) 1)
(pow.f64 (sqrt.f64 (-.f64 (log.f64 N) (log1p.f64 N))) 2)
(pow.f64 (cbrt.f64 (-.f64 (log.f64 N) (log1p.f64 N))) 3)
(pow.f64 (pow.f64 (-.f64 (log.f64 N) (log1p.f64 N)) 3) 1/3)
(neg.f64 (-.f64 (log1p.f64 N) (log.f64 N)))
(sqrt.f64 (pow.f64 (-.f64 (log.f64 N) (log1p.f64 N)) 2))
(cbrt.f64 (pow.f64 (-.f64 (log.f64 N) (log1p.f64 N)) 3))
(expm1.f64 (log1p.f64 (-.f64 (log.f64 N) (log1p.f64 N))))
(exp.f64 (log.f64 (-.f64 (log.f64 N) (log1p.f64 N))))
(exp.f64 (*.f64 (log.f64 (-.f64 (log.f64 N) (log1p.f64 N))) 1))
(log1p.f64 (-.f64 (/.f64 N (+.f64 N 1)) 1))
(fma.f64 1 (log.f64 N) (neg.f64 (log1p.f64 N)))
(fma.f64 (sqrt.f64 (log.f64 N)) (sqrt.f64 (log.f64 N)) (neg.f64 (log1p.f64 N)))
(fma.f64 (pow.f64 (cbrt.f64 (log.f64 N)) 2) (cbrt.f64 (log.f64 N)) (neg.f64 (log1p.f64 N)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 N (+.f64 N 1)))) 1)
(*.f64 N (/.f64 1 (+.f64 N 1)))
(*.f64 1 (/.f64 N (+.f64 N 1)))
(*.f64 (/.f64 N (+.f64 N 1)) 1)
(*.f64 (/.f64 1 (+.f64 N 1)) N)
(*.f64 (neg.f64 N) (/.f64 1 (+.f64 -1 (neg.f64 N))))
(*.f64 (sqrt.f64 N) (*.f64 (sqrt.f64 N) (/.f64 1 (+.f64 N 1))))
(*.f64 (sqrt.f64 (/.f64 N (+.f64 N 1))) (sqrt.f64 (/.f64 N (+.f64 N 1))))
(*.f64 (cbrt.f64 (pow.f64 N 2)) (*.f64 (cbrt.f64 N) (/.f64 1 (+.f64 N 1))))
(*.f64 (cbrt.f64 (/.f64 N (+.f64 N 1))) (pow.f64 (cbrt.f64 (/.f64 N (+.f64 N 1))) 2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 N (+.f64 N 1))) 2) (cbrt.f64 (/.f64 N (+.f64 N 1))))
(*.f64 (/.f64 1 (sqrt.f64 (+.f64 N 1))) (/.f64 N (sqrt.f64 (+.f64 N 1))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 N 1)) 2)) (/.f64 N (cbrt.f64 (+.f64 N 1))))
(*.f64 (/.f64 N (fma.f64 N N -1)) (+.f64 N -1))
(*.f64 (/.f64 N (+.f64 1 (pow.f64 N 3))) (fma.f64 N N (-.f64 1 N)))
(*.f64 (/.f64 (sqrt.f64 N) 1) (/.f64 (sqrt.f64 N) (+.f64 N 1)))
(*.f64 (/.f64 (sqrt.f64 N) (pow.f64 (cbrt.f64 (+.f64 N 1)) 2)) (/.f64 (sqrt.f64 N) (cbrt.f64 (+.f64 N 1))))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 N 2)) 1) (/.f64 (cbrt.f64 N) (+.f64 N 1)))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 N 2)) (sqrt.f64 (+.f64 N 1))) (/.f64 (cbrt.f64 N) (sqrt.f64 (+.f64 N 1))))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 N 2)) (pow.f64 (cbrt.f64 (+.f64 N 1)) 2)) (cbrt.f64 (/.f64 N (+.f64 N 1))))
(pow.f64 (/.f64 N (+.f64 N 1)) 1)
(pow.f64 (/.f64 (+.f64 N 1) N) -1)
(pow.f64 (sqrt.f64 (/.f64 N (+.f64 N 1))) 2)
(pow.f64 (cbrt.f64 (/.f64 N (+.f64 N 1))) 3)
(pow.f64 (pow.f64 (/.f64 N (+.f64 N 1)) 3) 1/3)
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (-.f64 (log.f64 N) (log1p.f64 N))) 2)) (cbrt.f64 (-.f64 (log.f64 N) (log1p.f64 N))))
(pow.f64 (exp.f64 (sqrt.f64 (-.f64 (log.f64 N) (log1p.f64 N)))) (sqrt.f64 (-.f64 (log.f64 N) (log1p.f64 N))))
(pow.f64 (exp.f64 1) (-.f64 (log.f64 N) (log1p.f64 N)))
(neg.f64 (/.f64 N (+.f64 -1 (neg.f64 N))))
(sqrt.f64 (pow.f64 (/.f64 N (+.f64 N 1)) 2))
(log.f64 (exp.f64 (/.f64 N (+.f64 N 1))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 N (+.f64 N 1)))))
(cbrt.f64 (pow.f64 (/.f64 N (+.f64 N 1)) 3))
(cbrt.f64 (/.f64 (pow.f64 N 3) (pow.f64 (+.f64 N 1) 3)))
(expm1.f64 (log1p.f64 (/.f64 N (+.f64 N 1))))
(exp.f64 (-.f64 (log.f64 N) (log1p.f64 N)))
(log1p.f64 (expm1.f64 (/.f64 N (+.f64 N 1))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 N (*.f64 (+.f64 N -1/2) (pow.f64 N -3))))) 1)
(*.f64 N (*.f64 (+.f64 N -1/2) (pow.f64 N -3)))
(*.f64 N (/.f64 (+.f64 N -1/2) (pow.f64 N 3)))
(*.f64 N (/.f64 1 (/.f64 (pow.f64 N 3) (+.f64 N -1/2))))
(*.f64 1 (*.f64 N (*.f64 (+.f64 N -1/2) (pow.f64 N -3))))
(*.f64 (+.f64 N -1/2) (*.f64 N (pow.f64 N -3)))
(*.f64 (*.f64 N (+.f64 N -1/2)) (pow.f64 N -3))
(*.f64 (*.f64 N (*.f64 (+.f64 N -1/2) (pow.f64 N -3))) 1)
(*.f64 (pow.f64 N -2) (/.f64 (*.f64 N (+.f64 N -1/2)) N))
(*.f64 (/.f64 1 N) (/.f64 (*.f64 N (+.f64 N -1/2)) (pow.f64 N 2)))
(*.f64 (pow.f64 N -3) (*.f64 N (+.f64 N -1/2)))
(*.f64 (*.f64 N (neg.f64 (+.f64 N -1/2))) (/.f64 1 (neg.f64 (pow.f64 N 3))))
(*.f64 (sqrt.f64 (*.f64 N (+.f64 N -1/2))) (*.f64 (sqrt.f64 (*.f64 N (+.f64 N -1/2))) (pow.f64 N -3)))
(*.f64 (sqrt.f64 (*.f64 N (*.f64 (+.f64 N -1/2) (pow.f64 N -3)))) (sqrt.f64 (*.f64 N (*.f64 (+.f64 N -1/2) (pow.f64 N -3)))))
(*.f64 (cbrt.f64 (pow.f64 (*.f64 N (+.f64 N -1/2)) 2)) (*.f64 (cbrt.f64 (*.f64 N (+.f64 N -1/2))) (pow.f64 N -3)))
(*.f64 (/.f64 (cbrt.f64 (*.f64 N (+.f64 N -1/2))) N) (pow.f64 (/.f64 (cbrt.f64 (*.f64 N (+.f64 N -1/2))) N) 2))
(*.f64 (pow.f64 (/.f64 (cbrt.f64 (*.f64 N (+.f64 N -1/2))) N) 2) (/.f64 (cbrt.f64 (*.f64 N (+.f64 N -1/2))) N))
(*.f64 (/.f64 1 (pow.f64 N 3/2)) (/.f64 (*.f64 N (+.f64 N -1/2)) (pow.f64 N 3/2)))
(*.f64 (/.f64 (+.f64 N -1/2) (pow.f64 N 2)) (/.f64 N N))
(*.f64 (/.f64 (+.f64 N -1/2) N) (/.f64 N (pow.f64 N 2)))
(*.f64 (/.f64 (+.f64 N -1/2) (pow.f64 N 3/2)) (/.f64 N (pow.f64 N 3/2)))
(*.f64 (/.f64 N (pow.f64 N 3)) (+.f64 N -1/2))
(*.f64 (/.f64 N N) (/.f64 (+.f64 N -1/2) (pow.f64 N 2)))
(*.f64 (/.f64 N (pow.f64 N 2)) (/.f64 (+.f64 N -1/2) N))
(*.f64 (/.f64 N (pow.f64 N 3/2)) (/.f64 (+.f64 N -1/2) (pow.f64 N 3/2)))
(*.f64 (/.f64 (+.f64 N -1/2) 1) (/.f64 N (pow.f64 N 3)))
(*.f64 (/.f64 (sqrt.f64 (*.f64 N (+.f64 N -1/2))) N) (/.f64 (sqrt.f64 (*.f64 N (+.f64 N -1/2))) (pow.f64 N 2)))
(*.f64 (/.f64 (sqrt.f64 (*.f64 N (+.f64 N -1/2))) (pow.f64 N 2)) (/.f64 (sqrt.f64 (*.f64 N (+.f64 N -1/2))) N))
(*.f64 (/.f64 (sqrt.f64 (*.f64 N (+.f64 N -1/2))) 1) (/.f64 (sqrt.f64 (*.f64 N (+.f64 N -1/2))) (pow.f64 N 3)))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (*.f64 N (+.f64 N -1/2)) 2)) N) (/.f64 (cbrt.f64 (*.f64 N (+.f64 N -1/2))) (pow.f64 N 2)))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (*.f64 N (+.f64 N -1/2)) 2)) 1) (/.f64 (cbrt.f64 (*.f64 N (+.f64 N -1/2))) (pow.f64 N 3)))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (*.f64 N (+.f64 N -1/2)) 2)) (pow.f64 N 2)) (/.f64 (cbrt.f64 (*.f64 N (+.f64 N -1/2))) N))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (*.f64 N (+.f64 N -1/2)) 2)) (pow.f64 N 3/2)) (/.f64 (cbrt.f64 (*.f64 N (+.f64 N -1/2))) (pow.f64 N 3/2)))
(pow.f64 (*.f64 N (*.f64 (+.f64 N -1/2) (pow.f64 N -3))) 1)
(pow.f64 (/.f64 (/.f64 (pow.f64 N 3) (+.f64 N -1/2)) N) -1)
(pow.f64 (pow.f64 (*.f64 N (*.f64 (+.f64 N -1/2) (pow.f64 N -3))) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 N (*.f64 (+.f64 N -1/2) (pow.f64 N -3)))) 2)
(pow.f64 (/.f64 (cbrt.f64 (*.f64 N (+.f64 N -1/2))) N) 3)
(neg.f64 (/.f64 (*.f64 N (+.f64 N -1/2)) (neg.f64 (pow.f64 N 3))))
(sqrt.f64 (/.f64 (pow.f64 (*.f64 N (+.f64 N -1/2)) 2) (pow.f64 N 6)))
(log.f64 (pow.f64 (pow.f64 (exp.f64 N) (+.f64 N -1/2)) (pow.f64 N -3)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 N (*.f64 (+.f64 N -1/2) (pow.f64 N -3))))))
(cbrt.f64 (pow.f64 (*.f64 N (*.f64 (+.f64 N -1/2) (pow.f64 N -3))) 3))
(expm1.f64 (log1p.f64 (*.f64 N (*.f64 (+.f64 N -1/2) (pow.f64 N -3)))))
(exp.f64 (log.f64 (*.f64 N (*.f64 (+.f64 N -1/2) (pow.f64 N -3)))))
(exp.f64 (*.f64 (log.f64 (*.f64 N (*.f64 (+.f64 N -1/2) (pow.f64 N -3)))) 1))
(log1p.f64 (expm1.f64 (*.f64 N (*.f64 (+.f64 N -1/2) (pow.f64 N -3)))))
(-.f64 (/.f64 (/.f64 1/9 (pow.f64 N 6)) (*.f64 (pow.f64 N -3) (-.f64 1/3 (*.f64 N (+.f64 N -1/2))))) (/.f64 (/.f64 (pow.f64 (*.f64 N (+.f64 N -1/2)) 2) (pow.f64 N 6)) (*.f64 (pow.f64 N -3) (-.f64 1/3 (*.f64 N (+.f64 N -1/2))))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (pow.f64 N -3) (+.f64 (*.f64 N (+.f64 N -1/2)) 1/3)))) 1)
(*.f64 1 (*.f64 (pow.f64 N -3) (+.f64 (*.f64 N (+.f64 N -1/2)) 1/3)))
(*.f64 (*.f64 (pow.f64 N -3) (+.f64 (*.f64 N (+.f64 N -1/2)) 1/3)) 1)
(*.f64 (-.f64 (/.f64 1/9 (pow.f64 N 6)) (/.f64 (pow.f64 (*.f64 N (+.f64 N -1/2)) 2) (pow.f64 N 6))) (/.f64 1 (*.f64 (pow.f64 N -3) (-.f64 1/3 (*.f64 N (+.f64 N -1/2))))))
(*.f64 (pow.f64 N -3) (+.f64 (*.f64 N (+.f64 N -1/2)) 1/3))
(*.f64 (+.f64 (pow.f64 (*.f64 1/3 (pow.f64 N -3)) 3) (pow.f64 (*.f64 N (*.f64 (+.f64 N -1/2) (pow.f64 N -3))) 3)) (/.f64 1 (+.f64 (/.f64 1/9 (pow.f64 N 6)) (-.f64 (/.f64 (pow.f64 (*.f64 N (+.f64 N -1/2)) 2) (pow.f64 N 6)) (/.f64 (*.f64 1/3 (*.f64 N (+.f64 N -1/2))) (pow.f64 N 6))))))
(*.f64 (fma.f64 1/3 (pow.f64 N 3) (*.f64 (*.f64 N (+.f64 N -1/2)) (pow.f64 N 3))) (/.f64 1 (pow.f64 N 6)))
(*.f64 (sqrt.f64 (*.f64 (pow.f64 N -3) (+.f64 (*.f64 N (+.f64 N -1/2)) 1/3))) (sqrt.f64 (*.f64 (pow.f64 N -3) (+.f64 (*.f64 N (+.f64 N -1/2)) 1/3))))
(*.f64 (cbrt.f64 (*.f64 (pow.f64 N -3) (+.f64 (*.f64 N (+.f64 N -1/2)) 1/3))) (cbrt.f64 (pow.f64 (*.f64 (pow.f64 N -3) (+.f64 (*.f64 N (+.f64 N -1/2)) 1/3)) 2)))
(*.f64 (cbrt.f64 (pow.f64 (*.f64 (pow.f64 N -3) (+.f64 (*.f64 N (+.f64 N -1/2)) 1/3)) 2)) (cbrt.f64 (*.f64 (pow.f64 N -3) (+.f64 (*.f64 N (+.f64 N -1/2)) 1/3))))
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(/.f64 (+.f64 (pow.f64 (+.f64 (log1p.f64 N) (log.f64 (cbrt.f64 (pow.f64 N -2)))) 3) (pow.f64 (neg.f64 (log.f64 (cbrt.f64 N))) 3)) (+.f64 (pow.f64 (neg.f64 (log.f64 (cbrt.f64 N))) 2) (-.f64 (pow.f64 (+.f64 (log1p.f64 N) (log.f64 (cbrt.f64 (pow.f64 N -2)))) 2) (*.f64 (+.f64 (log1p.f64 N) (log.f64 (cbrt.f64 (pow.f64 N -2)))) (neg.f64 (log.f64 (cbrt.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) 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 (neg.f64 (log.f64 (cbrt.f64 N))) 2) (pow.f64 (+.f64 (log1p.f64 N) (log.f64 (cbrt.f64 (pow.f64 N -2)))) 2)) (-.f64 (neg.f64 (log.f64 (cbrt.f64 N))) (+.f64 (log1p.f64 N) (log.f64 (cbrt.f64 (pow.f64 N -2))))))
(/.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 (neg.f64 (-.f64 (pow.f64 (+.f64 (log1p.f64 N) (log.f64 (cbrt.f64 (pow.f64 N -2)))) 2) (pow.f64 (neg.f64 (log.f64 (cbrt.f64 N))) 2))) (neg.f64 (-.f64 (+.f64 (log1p.f64 N) (log.f64 (cbrt.f64 (pow.f64 N -2)))) (neg.f64 (log.f64 (cbrt.f64 N))))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 (log1p.f64 N) (log.f64 (cbrt.f64 (pow.f64 N -2)))) 3) (pow.f64 (neg.f64 (log.f64 (cbrt.f64 N))) 3))) (neg.f64 (+.f64 (pow.f64 (+.f64 (log1p.f64 N) (log.f64 (cbrt.f64 (pow.f64 N -2)))) 2) (*.f64 (neg.f64 (log.f64 (cbrt.f64 N))) (-.f64 (neg.f64 (log.f64 (cbrt.f64 N))) (+.f64 (log1p.f64 N) (log.f64 (cbrt.f64 (pow.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 (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))))))
(pow.f64 (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 3) 1/3)
(pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 1)
(pow.f64 (sqrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))) 2)
(pow.f64 (cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))) 3)
(pow.f64 (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 6) 1/6)
(sqrt.f64 (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 2))
(log.f64 (/.f64 (+.f64 N 1) N))
(log.f64 (+.f64 1 (-.f64 (/.f64 (+.f64 N 1) N) 1)))
(cbrt.f64 (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 3))
(expm1.f64 (log1p.f64 (-.f64 (log1p.f64 N) (log.f64 N))))
(exp.f64 (log.f64 (-.f64 (log1p.f64 N) (log.f64 N))))
(exp.f64 (*.f64 (log.f64 (-.f64 (log1p.f64 N) (log.f64 N))) 1))
(log1p.f64 (-.f64 (/.f64 (+.f64 N 1) N) 1))
(fma.f64 1 (log1p.f64 N) (neg.f64 (log.f64 N)))
(fma.f64 1 (+.f64 (log1p.f64 N) (log.f64 (cbrt.f64 (pow.f64 N -2)))) (neg.f64 (log.f64 (cbrt.f64 N))))
(fma.f64 1 (neg.f64 (log.f64 (cbrt.f64 N))) (+.f64 (log1p.f64 N) (log.f64 (cbrt.f64 (pow.f64 N -2)))))
(fma.f64 (sqrt.f64 (+.f64 (log1p.f64 N) (log.f64 (cbrt.f64 (pow.f64 N -2))))) (sqrt.f64 (+.f64 (log1p.f64 N) (log.f64 (cbrt.f64 (pow.f64 N -2))))) (neg.f64 (log.f64 (cbrt.f64 N))))
(fma.f64 (sqrt.f64 (neg.f64 (log.f64 (cbrt.f64 N)))) (sqrt.f64 (neg.f64 (log.f64 (cbrt.f64 N)))) (+.f64 (log1p.f64 N) (log.f64 (cbrt.f64 (pow.f64 N -2)))))
(fma.f64 (sqrt.f64 (log1p.f64 N)) (sqrt.f64 (log1p.f64 N)) (neg.f64 (log.f64 N)))
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 (log1p.f64 N) (log.f64 (cbrt.f64 (pow.f64 N -2))))) 2) (cbrt.f64 (+.f64 (log1p.f64 N) (log.f64 (cbrt.f64 (pow.f64 N -2))))) (neg.f64 (log.f64 (cbrt.f64 N))))
(fma.f64 (pow.f64 (cbrt.f64 (neg.f64 (log.f64 (cbrt.f64 N)))) 2) (cbrt.f64 (neg.f64 (log.f64 (cbrt.f64 N)))) (+.f64 (log1p.f64 N) (log.f64 (cbrt.f64 (pow.f64 N -2)))))
(fma.f64 (pow.f64 (cbrt.f64 (log1p.f64 N)) 2) (cbrt.f64 (log1p.f64 N)) (neg.f64 (log.f64 N)))
(-.f64 (exp.f64 (log1p.f64 (cbrt.f64 (pow.f64 N -2)))) 1)
(*.f64 1 (cbrt.f64 (pow.f64 N -2)))
(*.f64 (cbrt.f64 (pow.f64 N -2)) 1)
(*.f64 (/.f64 1 (cbrt.f64 N)) (/.f64 1 (cbrt.f64 N)))
(*.f64 (pow.f64 N -1/2) (cbrt.f64 (pow.f64 N -1/2)))
(*.f64 (cbrt.f64 (pow.f64 N -1/2)) (*.f64 (cbrt.f64 (pow.f64 N -1/2)) (/.f64 1 (cbrt.f64 N))))
(*.f64 (cbrt.f64 (cbrt.f64 (pow.f64 N -2))) (cbrt.f64 (cbrt.f64 (pow.f64 N -4))))
(*.f64 (cbrt.f64 (cbrt.f64 (pow.f64 N -2))) (*.f64 (/.f64 1 (cbrt.f64 (cbrt.f64 N))) (/.f64 1 (cbrt.f64 N))))
(*.f64 (cbrt.f64 (cbrt.f64 (pow.f64 N -4))) (cbrt.f64 (cbrt.f64 (pow.f64 N -2))))
(*.f64 (*.f64 (/.f64 1 (cbrt.f64 N)) (cbrt.f64 (cbrt.f64 (pow.f64 N -2)))) (/.f64 1 (cbrt.f64 (cbrt.f64 N))))
(*.f64 (pow.f64 1 1/3) (cbrt.f64 (pow.f64 N -2)))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 N -4)) 1/3) (cbrt.f64 (cbrt.f64 (pow.f64 N -2))))
(/.f64 1 (cbrt.f64 (pow.f64 N 2)))
(/.f64 (/.f64 1 (cbrt.f64 N)) (cbrt.f64 N))
(pow.f64 N -2/3)
(pow.f64 (pow.f64 N -2) 1/3)
(pow.f64 (cbrt.f64 (pow.f64 N -2)) 1)
(pow.f64 (/.f64 1 N) 2/3)
(pow.f64 (/.f64 1 (cbrt.f64 N)) 2)
(pow.f64 (cbrt.f64 (cbrt.f64 (pow.f64 N -2))) 3)
(pow.f64 (exp.f64 (cbrt.f64 (pow.f64 (log.f64 (cbrt.f64 (pow.f64 N -2))) 2))) (cbrt.f64 (log.f64 (cbrt.f64 (pow.f64 N -2)))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (cbrt.f64 (pow.f64 N -2))))) (sqrt.f64 (log.f64 (cbrt.f64 (pow.f64 N -2)))))
(pow.f64 (exp.f64 1) (log.f64 (cbrt.f64 (pow.f64 N -2))))
(sqrt.f64 (cbrt.f64 (pow.f64 N -4)))
(log.f64 (exp.f64 (cbrt.f64 (pow.f64 N -2))))
(log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 (pow.f64 N -2)))))
(expm1.f64 (log1p.f64 (cbrt.f64 (pow.f64 N -2))))
(exp.f64 (log.f64 (cbrt.f64 (pow.f64 N -2))))
(exp.f64 (*.f64 (log.f64 (pow.f64 N -2)) 1/3))
(log1p.f64 (expm1.f64 (cbrt.f64 (pow.f64 N -2))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 1 (cbrt.f64 N)))) 1)
(*.f64 1 (/.f64 1 (cbrt.f64 N)))
(*.f64 (/.f64 1 (cbrt.f64 N)) 1)
(*.f64 (cbrt.f64 (pow.f64 N -1/2)) (cbrt.f64 (pow.f64 N -1/2)))
(*.f64 (cbrt.f64 (cbrt.f64 (pow.f64 N -2))) (/.f64 1 (cbrt.f64 (cbrt.f64 N))))
(*.f64 (/.f64 1 (cbrt.f64 (cbrt.f64 N))) (cbrt.f64 (cbrt.f64 (pow.f64 N -2))))
(*.f64 (sqrt.f64 (cbrt.f64 (cbrt.f64 (pow.f64 N -4)))) (sqrt.f64 (cbrt.f64 (cbrt.f64 (pow.f64 N -2)))))
(*.f64 (pow.f64 1 1/3) (/.f64 1 (cbrt.f64 N)))
(*.f64 (pow.f64 (pow.f64 N -1/2) 1/3) (pow.f64 (pow.f64 N -1/2) 1/3))
(/.f64 1 (cbrt.f64 N))
(/.f64 1 (/.f64 (cbrt.f64 N) 1))
(/.f64 -1 (neg.f64 (cbrt.f64 N)))
(/.f64 (cbrt.f64 -1) (cbrt.f64 (neg.f64 N)))
(pow.f64 N -1/3)
(pow.f64 (pow.f64 N -2) 1/6)
(pow.f64 (cbrt.f64 (pow.f64 N -2)) 1/2)
(pow.f64 (/.f64 1 N) 1/3)
(pow.f64 (/.f64 1 (cbrt.f64 N)) 1)
(pow.f64 (cbrt.f64 (pow.f64 N -1/2)) 2)
(pow.f64 (cbrt.f64 N) -1)
(pow.f64 (/.f64 1 (cbrt.f64 (cbrt.f64 N))) 3)
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (neg.f64 (log.f64 (cbrt.f64 N)))) 2)) (cbrt.f64 (neg.f64 (log.f64 (cbrt.f64 N)))))
(pow.f64 (exp.f64 (sqrt.f64 (neg.f64 (log.f64 (cbrt.f64 N))))) (sqrt.f64 (neg.f64 (log.f64 (cbrt.f64 N)))))
(pow.f64 (exp.f64 1) (neg.f64 (log.f64 (cbrt.f64 N))))
(sqrt.f64 (cbrt.f64 (pow.f64 N -2)))
(fabs.f64 (/.f64 1 (cbrt.f64 N)))
(log.f64 (exp.f64 (/.f64 1 (cbrt.f64 N))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (cbrt.f64 N)))))
(expm1.f64 (log1p.f64 (/.f64 1 (cbrt.f64 N))))
(exp.f64 (neg.f64 (log.f64 (cbrt.f64 N))))
(exp.f64 (*.f64 (neg.f64 (log.f64 N)) 1/3))
(log1p.f64 (expm1.f64 (/.f64 1 (cbrt.f64 N))))
(-.f64 (/.f64 (pow.f64 (log1p.f64 N) 2) (-.f64 (log1p.f64 N) (log.f64 (cbrt.f64 (pow.f64 N -2))))) (/.f64 (pow.f64 (log.f64 (cbrt.f64 (pow.f64 N -2))) 2) (-.f64 (log1p.f64 N) (log.f64 (cbrt.f64 (pow.f64 N -2))))))
(-.f64 (exp.f64 (log1p.f64 (+.f64 (log1p.f64 N) (log.f64 (cbrt.f64 (pow.f64 N -2)))))) 1)
(*.f64 1 (+.f64 (log1p.f64 N) (log.f64 (cbrt.f64 (pow.f64 N -2)))))
(*.f64 (+.f64 (log1p.f64 N) (log.f64 (cbrt.f64 (pow.f64 N -2)))) 1)
(*.f64 (-.f64 (pow.f64 (log1p.f64 N) 2) (pow.f64 (log.f64 (cbrt.f64 (pow.f64 N -2))) 2)) (/.f64 1 (-.f64 (log1p.f64 N) (log.f64 (cbrt.f64 (pow.f64 N -2))))))
(*.f64 (+.f64 (pow.f64 (log1p.f64 N) 3) (pow.f64 (log.f64 (cbrt.f64 (pow.f64 N -2))) 3)) (/.f64 1 (+.f64 (pow.f64 (log1p.f64 N) 2) (*.f64 (log.f64 (cbrt.f64 (pow.f64 N -2))) (-.f64 (log.f64 (cbrt.f64 (pow.f64 N -2))) (log1p.f64 N))))))
(*.f64 (sqrt.f64 (+.f64 (log1p.f64 N) (log.f64 (cbrt.f64 (pow.f64 N -2))))) (sqrt.f64 (+.f64 (log1p.f64 N) (log.f64 (cbrt.f64 (pow.f64 N -2))))))
(*.f64 (cbrt.f64 (+.f64 (log1p.f64 N) (log.f64 (cbrt.f64 (pow.f64 N -2))))) (pow.f64 (cbrt.f64 (+.f64 (log1p.f64 N) (log.f64 (cbrt.f64 (pow.f64 N -2))))) 2))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 (log1p.f64 N) (log.f64 (cbrt.f64 (pow.f64 N -2))))) 2) (cbrt.f64 (+.f64 (log1p.f64 N) (log.f64 (cbrt.f64 (pow.f64 N -2))))))
(/.f64 1 (/.f64 (-.f64 (log1p.f64 N) (log.f64 (cbrt.f64 (pow.f64 N -2)))) (-.f64 (pow.f64 (log1p.f64 N) 2) (pow.f64 (log.f64 (cbrt.f64 (pow.f64 N -2))) 2))))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (log1p.f64 N) 2) (*.f64 (log.f64 (cbrt.f64 (pow.f64 N -2))) (-.f64 (log.f64 (cbrt.f64 (pow.f64 N -2))) (log1p.f64 N)))) (+.f64 (pow.f64 (log1p.f64 N) 3) (pow.f64 (log.f64 (cbrt.f64 (pow.f64 N -2))) 3))))
(/.f64 (-.f64 (pow.f64 (log1p.f64 N) 2) (pow.f64 (log.f64 (cbrt.f64 (pow.f64 N -2))) 2)) (-.f64 (log1p.f64 N) (log.f64 (cbrt.f64 (pow.f64 N -2)))))
(/.f64 (+.f64 (pow.f64 (log1p.f64 N) 3) (pow.f64 (log.f64 (cbrt.f64 (pow.f64 N -2))) 3)) (+.f64 (pow.f64 (log1p.f64 N) 2) (*.f64 (log.f64 (cbrt.f64 (pow.f64 N -2))) (-.f64 (log.f64 (cbrt.f64 (pow.f64 N -2))) (log1p.f64 N)))))
(/.f64 (+.f64 (pow.f64 (log1p.f64 N) 3) (pow.f64 (log.f64 (cbrt.f64 (pow.f64 N -2))) 3)) (+.f64 (pow.f64 (log.f64 (cbrt.f64 (pow.f64 N -2))) 2) (-.f64 (pow.f64 (log1p.f64 N) 2) (*.f64 (log1p.f64 N) (log.f64 (cbrt.f64 (pow.f64 N -2)))))))
(/.f64 (-.f64 (pow.f64 (log.f64 (cbrt.f64 (pow.f64 N -2))) 2) (pow.f64 (log1p.f64 N) 2)) (-.f64 (log.f64 (cbrt.f64 (pow.f64 N -2))) (log1p.f64 N)))
(/.f64 (neg.f64 (-.f64 (pow.f64 (log1p.f64 N) 2) (pow.f64 (log.f64 (cbrt.f64 (pow.f64 N -2))) 2))) (neg.f64 (-.f64 (log1p.f64 N) (log.f64 (cbrt.f64 (pow.f64 N -2))))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (log1p.f64 N) 3) (pow.f64 (log.f64 (cbrt.f64 (pow.f64 N -2))) 3))) (neg.f64 (+.f64 (pow.f64 (log1p.f64 N) 2) (*.f64 (log.f64 (cbrt.f64 (pow.f64 N -2))) (-.f64 (log.f64 (cbrt.f64 (pow.f64 N -2))) (log1p.f64 N))))))
(pow.f64 (+.f64 (log1p.f64 N) (log.f64 (cbrt.f64 (pow.f64 N -2)))) 1)
(pow.f64 (pow.f64 (+.f64 (log1p.f64 N) (log.f64 (cbrt.f64 (pow.f64 N -2)))) 3) 1/3)
(pow.f64 (sqrt.f64 (+.f64 (log1p.f64 N) (log.f64 (cbrt.f64 (pow.f64 N -2))))) 2)
(pow.f64 (cbrt.f64 (+.f64 (log1p.f64 N) (log.f64 (cbrt.f64 (pow.f64 N -2))))) 3)
(sqrt.f64 (pow.f64 (+.f64 (log1p.f64 N) (log.f64 (cbrt.f64 (pow.f64 N -2)))) 2))
(log.f64 (*.f64 (+.f64 N 1) (cbrt.f64 (pow.f64 N -2))))
(log.f64 (+.f64 1 (-.f64 (*.f64 (+.f64 N 1) (cbrt.f64 (pow.f64 N -2))) 1)))
(cbrt.f64 (pow.f64 (+.f64 (log1p.f64 N) (log.f64 (cbrt.f64 (pow.f64 N -2)))) 3))
(expm1.f64 (log1p.f64 (+.f64 (log1p.f64 N) (log.f64 (cbrt.f64 (pow.f64 N -2))))))
(exp.f64 (log.f64 (+.f64 (log1p.f64 N) (log.f64 (cbrt.f64 (pow.f64 N -2))))))
(exp.f64 (*.f64 (log.f64 (+.f64 (log1p.f64 N) (log.f64 (cbrt.f64 (pow.f64 N -2))))) 1))
(log1p.f64 (-.f64 (*.f64 (+.f64 N 1) (cbrt.f64 (pow.f64 N -2))) 1))
(fma.f64 1 (log1p.f64 N) (log.f64 (cbrt.f64 (pow.f64 N -2))))
(fma.f64 1 (log.f64 (cbrt.f64 (pow.f64 N -2))) (log1p.f64 N))
(fma.f64 (sqrt.f64 (log.f64 (cbrt.f64 (pow.f64 N -2)))) (sqrt.f64 (log.f64 (cbrt.f64 (pow.f64 N -2)))) (log1p.f64 N))
(fma.f64 (sqrt.f64 (log1p.f64 N)) (sqrt.f64 (log1p.f64 N)) (log.f64 (cbrt.f64 (pow.f64 N -2))))
(fma.f64 (cbrt.f64 (pow.f64 (log.f64 (cbrt.f64 (pow.f64 N -2))) 2)) (cbrt.f64 (log.f64 (cbrt.f64 (pow.f64 N -2)))) (log1p.f64 N))
(fma.f64 (pow.f64 (cbrt.f64 (log1p.f64 N)) 2) (cbrt.f64 (log1p.f64 N)) (log.f64 (cbrt.f64 (pow.f64 N -2))))

simplify235.0ms (2.1%)

Algorithm
1×egg-herbie
Rules
792×associate-*r*
736×associate-*l*
433×*-commutative
413×associate-/r*
320×+-commutative
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0109828692
1284928205
Stop Event
1×node limit
Counts
560 → 661
Calls
Call 1
Inputs
(log.f64 N)
(+.f64 (log.f64 N) (*.f64 -1 N))
(+.f64 (log.f64 N) (+.f64 (*.f64 -1 N) (*.f64 1/2 (pow.f64 N 2))))
(+.f64 (log.f64 N) (+.f64 (*.f64 -1 N) (+.f64 (*.f64 -1/3 (pow.f64 N 3)) (*.f64 1/2 (pow.f64 N 2)))))
(/.f64 -1 N)
(-.f64 (*.f64 1/2 (/.f64 1 (pow.f64 N 2))) (/.f64 1 N))
(-.f64 (*.f64 1/2 (/.f64 1 (pow.f64 N 2))) (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 N 3))) (/.f64 1 N)))
(-.f64 (+.f64 (*.f64 1/4 (/.f64 1 (pow.f64 N 4))) (*.f64 1/2 (/.f64 1 (pow.f64 N 2)))) (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 N 3))) (/.f64 1 N)))
(/.f64 -1 N)
(-.f64 (*.f64 1/2 (/.f64 1 (pow.f64 N 2))) (/.f64 1 N))
(-.f64 (*.f64 1/2 (/.f64 1 (pow.f64 N 2))) (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 N 3))) (/.f64 1 N)))
(-.f64 (+.f64 (*.f64 1/4 (/.f64 1 (pow.f64 N 4))) (*.f64 1/2 (/.f64 1 (pow.f64 N 2)))) (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 N 3))) (/.f64 1 N)))
N
(+.f64 N (*.f64 -1 (pow.f64 N 2)))
(+.f64 N (+.f64 (*.f64 -1 (pow.f64 N 2)) (pow.f64 N 3)))
(+.f64 N (+.f64 (*.f64 -1 (pow.f64 N 2)) (+.f64 (*.f64 -1 (pow.f64 N 4)) (pow.f64 N 3))))
1
(-.f64 1 (/.f64 1 N))
(-.f64 (+.f64 1 (/.f64 1 (pow.f64 N 2))) (/.f64 1 N))
(-.f64 (+.f64 1 (/.f64 1 (pow.f64 N 2))) (+.f64 (/.f64 1 N) (/.f64 1 (pow.f64 N 3))))
1
(-.f64 1 (/.f64 1 N))
(-.f64 (+.f64 1 (/.f64 1 (pow.f64 N 2))) (/.f64 1 N))
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(/.f64 1 (/.f64 (-.f64 (log1p.f64 N) (log.f64 (cbrt.f64 (pow.f64 N -2)))) (-.f64 (pow.f64 (log1p.f64 N) 2) (pow.f64 (log.f64 (cbrt.f64 (pow.f64 N -2))) 2))))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (log1p.f64 N) 2) (*.f64 (log.f64 (cbrt.f64 (pow.f64 N -2))) (-.f64 (log.f64 (cbrt.f64 (pow.f64 N -2))) (log1p.f64 N)))) (+.f64 (pow.f64 (log1p.f64 N) 3) (pow.f64 (log.f64 (cbrt.f64 (pow.f64 N -2))) 3))))
(/.f64 (-.f64 (pow.f64 (log1p.f64 N) 2) (pow.f64 (log.f64 (cbrt.f64 (pow.f64 N -2))) 2)) (-.f64 (log1p.f64 N) (log.f64 (cbrt.f64 (pow.f64 N -2)))))
(/.f64 (+.f64 (pow.f64 (log1p.f64 N) 3) (pow.f64 (log.f64 (cbrt.f64 (pow.f64 N -2))) 3)) (+.f64 (pow.f64 (log1p.f64 N) 2) (*.f64 (log.f64 (cbrt.f64 (pow.f64 N -2))) (-.f64 (log.f64 (cbrt.f64 (pow.f64 N -2))) (log1p.f64 N)))))
(/.f64 (+.f64 (pow.f64 (log1p.f64 N) 3) (pow.f64 (log.f64 (cbrt.f64 (pow.f64 N -2))) 3)) (+.f64 (pow.f64 (log.f64 (cbrt.f64 (pow.f64 N -2))) 2) (-.f64 (pow.f64 (log1p.f64 N) 2) (*.f64 (log1p.f64 N) (log.f64 (cbrt.f64 (pow.f64 N -2)))))))
(/.f64 (-.f64 (pow.f64 (log.f64 (cbrt.f64 (pow.f64 N -2))) 2) (pow.f64 (log1p.f64 N) 2)) (-.f64 (log.f64 (cbrt.f64 (pow.f64 N -2))) (log1p.f64 N)))
(/.f64 (neg.f64 (-.f64 (pow.f64 (log1p.f64 N) 2) (pow.f64 (log.f64 (cbrt.f64 (pow.f64 N -2))) 2))) (neg.f64 (-.f64 (log1p.f64 N) (log.f64 (cbrt.f64 (pow.f64 N -2))))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (log1p.f64 N) 3) (pow.f64 (log.f64 (cbrt.f64 (pow.f64 N -2))) 3))) (neg.f64 (+.f64 (pow.f64 (log1p.f64 N) 2) (*.f64 (log.f64 (cbrt.f64 (pow.f64 N -2))) (-.f64 (log.f64 (cbrt.f64 (pow.f64 N -2))) (log1p.f64 N))))))
(pow.f64 (+.f64 (log1p.f64 N) (log.f64 (cbrt.f64 (pow.f64 N -2)))) 1)
(pow.f64 (pow.f64 (+.f64 (log1p.f64 N) (log.f64 (cbrt.f64 (pow.f64 N -2)))) 3) 1/3)
(pow.f64 (sqrt.f64 (+.f64 (log1p.f64 N) (log.f64 (cbrt.f64 (pow.f64 N -2))))) 2)
(pow.f64 (cbrt.f64 (+.f64 (log1p.f64 N) (log.f64 (cbrt.f64 (pow.f64 N -2))))) 3)
(sqrt.f64 (pow.f64 (+.f64 (log1p.f64 N) (log.f64 (cbrt.f64 (pow.f64 N -2)))) 2))
(log.f64 (*.f64 (+.f64 N 1) (cbrt.f64 (pow.f64 N -2))))
(log.f64 (+.f64 1 (-.f64 (*.f64 (+.f64 N 1) (cbrt.f64 (pow.f64 N -2))) 1)))
(cbrt.f64 (pow.f64 (+.f64 (log1p.f64 N) (log.f64 (cbrt.f64 (pow.f64 N -2)))) 3))
(expm1.f64 (log1p.f64 (+.f64 (log1p.f64 N) (log.f64 (cbrt.f64 (pow.f64 N -2))))))
(exp.f64 (log.f64 (+.f64 (log1p.f64 N) (log.f64 (cbrt.f64 (pow.f64 N -2))))))
(exp.f64 (*.f64 (log.f64 (+.f64 (log1p.f64 N) (log.f64 (cbrt.f64 (pow.f64 N -2))))) 1))
(log1p.f64 (-.f64 (*.f64 (+.f64 N 1) (cbrt.f64 (pow.f64 N -2))) 1))
(fma.f64 1 (log1p.f64 N) (log.f64 (cbrt.f64 (pow.f64 N -2))))
(fma.f64 1 (log.f64 (cbrt.f64 (pow.f64 N -2))) (log1p.f64 N))
(fma.f64 (sqrt.f64 (log.f64 (cbrt.f64 (pow.f64 N -2)))) (sqrt.f64 (log.f64 (cbrt.f64 (pow.f64 N -2)))) (log1p.f64 N))
(fma.f64 (sqrt.f64 (log1p.f64 N)) (sqrt.f64 (log1p.f64 N)) (log.f64 (cbrt.f64 (pow.f64 N -2))))
(fma.f64 (cbrt.f64 (pow.f64 (log.f64 (cbrt.f64 (pow.f64 N -2))) 2)) (cbrt.f64 (log.f64 (cbrt.f64 (pow.f64 N -2)))) (log1p.f64 N))
(fma.f64 (pow.f64 (cbrt.f64 (log1p.f64 N)) 2) (cbrt.f64 (log1p.f64 N)) (log.f64 (cbrt.f64 (pow.f64 N -2))))
Outputs
(log.f64 N)
(+.f64 (log.f64 N) (*.f64 -1 N))
(+.f64 (log.f64 N) (neg.f64 N))
(+.f64 (log.f64 N) (+.f64 (*.f64 -1 N) (*.f64 1/2 (pow.f64 N 2))))
(+.f64 (log.f64 N) (fma.f64 -1 N (*.f64 1/2 (pow.f64 N 2))))
(+.f64 (log.f64 N) (+.f64 (*.f64 -1 N) (+.f64 (*.f64 -1/3 (pow.f64 N 3)) (*.f64 1/2 (pow.f64 N 2)))))
(+.f64 (log.f64 N) (fma.f64 -1 N (fma.f64 -1/3 (pow.f64 N 3) (*.f64 1/2 (pow.f64 N 2)))))
(/.f64 -1 N)
(-.f64 (*.f64 1/2 (/.f64 1 (pow.f64 N 2))) (/.f64 1 N))
(-.f64 (/.f64 1/2 (pow.f64 N 2)) (/.f64 1 N))
(-.f64 (*.f64 1/2 (/.f64 1 (pow.f64 N 2))) (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 N 3))) (/.f64 1 N)))
(-.f64 (/.f64 1/2 (pow.f64 N 2)) (+.f64 (/.f64 1 N) (/.f64 1/3 (pow.f64 N 3))))
(-.f64 (-.f64 (/.f64 1/2 (pow.f64 N 2)) (/.f64 1 N)) (/.f64 1/3 (pow.f64 N 3)))
(-.f64 (+.f64 (*.f64 1/4 (/.f64 1 (pow.f64 N 4))) (*.f64 1/2 (/.f64 1 (pow.f64 N 2)))) (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 N 3))) (/.f64 1 N)))
(+.f64 (/.f64 1/4 (pow.f64 N 4)) (-.f64 (/.f64 1/2 (pow.f64 N 2)) (+.f64 (/.f64 1 N) (/.f64 1/3 (pow.f64 N 3)))))
(+.f64 (-.f64 (-.f64 (/.f64 1/2 (pow.f64 N 2)) (/.f64 1 N)) (/.f64 1/3 (pow.f64 N 3))) (/.f64 1/4 (pow.f64 N 4)))
(/.f64 -1 N)
(-.f64 (*.f64 1/2 (/.f64 1 (pow.f64 N 2))) (/.f64 1 N))
(-.f64 (/.f64 1/2 (pow.f64 N 2)) (/.f64 1 N))
(-.f64 (*.f64 1/2 (/.f64 1 (pow.f64 N 2))) (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 N 3))) (/.f64 1 N)))
(-.f64 (/.f64 1/2 (pow.f64 N 2)) (+.f64 (/.f64 1 N) (/.f64 1/3 (pow.f64 N 3))))
(-.f64 (-.f64 (/.f64 1/2 (pow.f64 N 2)) (/.f64 1 N)) (/.f64 1/3 (pow.f64 N 3)))
(-.f64 (+.f64 (*.f64 1/4 (/.f64 1 (pow.f64 N 4))) (*.f64 1/2 (/.f64 1 (pow.f64 N 2)))) (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 N 3))) (/.f64 1 N)))
(+.f64 (/.f64 1/4 (pow.f64 N 4)) (-.f64 (/.f64 1/2 (pow.f64 N 2)) (+.f64 (/.f64 1 N) (/.f64 1/3 (pow.f64 N 3)))))
(+.f64 (-.f64 (-.f64 (/.f64 1/2 (pow.f64 N 2)) (/.f64 1 N)) (/.f64 1/3 (pow.f64 N 3))) (/.f64 1/4 (pow.f64 N 4)))
N
(+.f64 N (*.f64 -1 (pow.f64 N 2)))
(+.f64 N (neg.f64 (pow.f64 N 2)))
(+.f64 N (+.f64 (*.f64 -1 (pow.f64 N 2)) (pow.f64 N 3)))
(+.f64 N (fma.f64 -1 (pow.f64 N 2) (pow.f64 N 3)))
(+.f64 N (+.f64 (*.f64 -1 (pow.f64 N 2)) (+.f64 (*.f64 -1 (pow.f64 N 4)) (pow.f64 N 3))))
(+.f64 N (fma.f64 -1 (pow.f64 N 2) (fma.f64 -1 (pow.f64 N 4) (pow.f64 N 3))))
1
(-.f64 1 (/.f64 1 N))
(-.f64 (+.f64 1 (/.f64 1 (pow.f64 N 2))) (/.f64 1 N))
(+.f64 (/.f64 1 (pow.f64 N 2)) (-.f64 1 (/.f64 1 N)))
(-.f64 (+.f64 1 (/.f64 1 (pow.f64 N 2))) (+.f64 (/.f64 1 N) (/.f64 1 (pow.f64 N 3))))
(+.f64 1 (-.f64 (/.f64 1 (pow.f64 N 2)) (+.f64 (/.f64 1 N) (/.f64 1 (pow.f64 N 3)))))
(-.f64 (+.f64 (/.f64 1 (pow.f64 N 2)) (-.f64 1 (/.f64 1 N))) (/.f64 1 (pow.f64 N 3)))
1
(-.f64 1 (/.f64 1 N))
(-.f64 (+.f64 1 (/.f64 1 (pow.f64 N 2))) (/.f64 1 N))
(+.f64 (/.f64 1 (pow.f64 N 2)) (-.f64 1 (/.f64 1 N)))
(-.f64 (+.f64 1 (/.f64 1 (pow.f64 N 2))) (+.f64 (/.f64 1 N) (/.f64 1 (pow.f64 N 3))))
(+.f64 1 (-.f64 (/.f64 1 (pow.f64 N 2)) (+.f64 (/.f64 1 N) (/.f64 1 (pow.f64 N 3)))))
(-.f64 (+.f64 (/.f64 1 (pow.f64 N 2)) (-.f64 1 (/.f64 1 N))) (/.f64 1 (pow.f64 N 3)))
(/.f64 -1/2 (pow.f64 N 2))
(-.f64 (/.f64 1 N) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (/.f64 1 N) (/.f64 1/2 (pow.f64 N 2)))
(+.f64 (/.f64 1 N) (/.f64 -1/2 (pow.f64 N 2)))
(-.f64 (/.f64 1 N) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (/.f64 1 N) (/.f64 1/2 (pow.f64 N 2)))
(+.f64 (/.f64 1 N) (/.f64 -1/2 (pow.f64 N 2)))
(-.f64 (/.f64 1 N) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (/.f64 1 N) (/.f64 1/2 (pow.f64 N 2)))
(+.f64 (/.f64 1 N) (/.f64 -1/2 (pow.f64 N 2)))
(/.f64 1 N)
(-.f64 (/.f64 1 N) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (/.f64 1 N) (/.f64 1/2 (pow.f64 N 2)))
(+.f64 (/.f64 1 N) (/.f64 -1/2 (pow.f64 N 2)))
(-.f64 (/.f64 1 N) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (/.f64 1 N) (/.f64 1/2 (pow.f64 N 2)))
(+.f64 (/.f64 1 N) (/.f64 -1/2 (pow.f64 N 2)))
(-.f64 (/.f64 1 N) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (/.f64 1 N) (/.f64 1/2 (pow.f64 N 2)))
(+.f64 (/.f64 1 N) (/.f64 -1/2 (pow.f64 N 2)))
(/.f64 1 N)
(-.f64 (/.f64 1 N) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (/.f64 1 N) (/.f64 1/2 (pow.f64 N 2)))
(+.f64 (/.f64 1 N) (/.f64 -1/2 (pow.f64 N 2)))
(-.f64 (/.f64 1 N) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (/.f64 1 N) (/.f64 1/2 (pow.f64 N 2)))
(+.f64 (/.f64 1 N) (/.f64 -1/2 (pow.f64 N 2)))
(-.f64 (/.f64 1 N) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (/.f64 1 N) (/.f64 1/2 (pow.f64 N 2)))
(+.f64 (/.f64 1 N) (/.f64 -1/2 (pow.f64 N 2)))
(/.f64 1/3 (pow.f64 N 3))
(-.f64 (*.f64 1/3 (/.f64 1 (pow.f64 N 3))) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 1/2 (pow.f64 N 2)))
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 -1/2 (pow.f64 N 2)))
(-.f64 (+.f64 (/.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 (pow.f64 N 3))) (/.f64 1/2 (pow.f64 N 2)))
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (+.f64 (/.f64 1 N) (/.f64 -1/2 (pow.f64 N 2))))
(-.f64 (+.f64 (/.f64 1 N) (*.f64 1/3 (/.f64 1 (pow.f64 N 3)))) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (+.f64 (/.f64 1 N) (/.f64 1/3 (pow.f64 N 3))) (/.f64 1/2 (pow.f64 N 2)))
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (+.f64 (/.f64 1 N) (/.f64 -1/2 (pow.f64 N 2))))
(/.f64 1 N)
(-.f64 (/.f64 1 N) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (/.f64 1 N) (/.f64 1/2 (pow.f64 N 2)))
(+.f64 (/.f64 1 N) (/.f64 -1/2 (pow.f64 N 2)))
(-.f64 (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 N 3))) (/.f64 1 N)) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (+.f64 (/.f64 1 N) (/.f64 1/3 (pow.f64 N 3))) (/.f64 1/2 (pow.f64 N 2)))
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (+.f64 (/.f64 1 N) (/.f64 -1/2 (pow.f64 N 2))))
(-.f64 (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 N 3))) (/.f64 1 N)) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (+.f64 (/.f64 1 N) (/.f64 1/3 (pow.f64 N 3))) (/.f64 1/2 (pow.f64 N 2)))
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (+.f64 (/.f64 1 N) (/.f64 -1/2 (pow.f64 N 2))))
(/.f64 1 N)
(-.f64 (/.f64 1 N) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (/.f64 1 N) (/.f64 1/2 (pow.f64 N 2)))
(+.f64 (/.f64 1 N) (/.f64 -1/2 (pow.f64 N 2)))
(-.f64 (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 N 3))) (/.f64 1 N)) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (+.f64 (/.f64 1 N) (/.f64 1/3 (pow.f64 N 3))) (/.f64 1/2 (pow.f64 N 2)))
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (+.f64 (/.f64 1 N) (/.f64 -1/2 (pow.f64 N 2))))
(-.f64 (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 N 3))) (/.f64 1 N)) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (+.f64 (/.f64 1 N) (/.f64 1/3 (pow.f64 N 3))) (/.f64 1/2 (pow.f64 N 2)))
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (+.f64 (/.f64 1 N) (/.f64 -1/2 (pow.f64 N 2))))
(*.f64 -1/2 N)
(*.f64 N -1/2)
(+.f64 (*.f64 -1/2 N) (pow.f64 N 2))
(*.f64 N (+.f64 N -1/2))
(+.f64 (*.f64 -1/2 N) (pow.f64 N 2))
(*.f64 N (+.f64 N -1/2))
(+.f64 (*.f64 -1/2 N) (pow.f64 N 2))
(*.f64 N (+.f64 N -1/2))
(pow.f64 N 2)
(+.f64 (*.f64 -1/2 N) (pow.f64 N 2))
(*.f64 N (+.f64 N -1/2))
(+.f64 (*.f64 -1/2 N) (pow.f64 N 2))
(*.f64 N (+.f64 N -1/2))
(+.f64 (*.f64 -1/2 N) (pow.f64 N 2))
(*.f64 N (+.f64 N -1/2))
(pow.f64 N 2)
(+.f64 (*.f64 -1/2 N) (pow.f64 N 2))
(*.f64 N (+.f64 N -1/2))
(+.f64 (*.f64 -1/2 N) (pow.f64 N 2))
(*.f64 N (+.f64 N -1/2))
(+.f64 (*.f64 -1/2 N) (pow.f64 N 2))
(*.f64 N (+.f64 N -1/2))
(*.f64 (cbrt.f64 -1) (log.f64 N))
(*.f64 (log.f64 N) (cbrt.f64 -1))
(+.f64 (*.f64 1/3 (*.f64 (pow.f64 (/.f64 1 (*.f64 (pow.f64 (cbrt.f64 -1) 2) (pow.f64 (log.f64 N) 2))) 1/3) (*.f64 N (+.f64 (*.f64 2 (pow.f64 (log.f64 N) 2)) (pow.f64 (log.f64 N) 2))))) (*.f64 (cbrt.f64 -1) (log.f64 N)))
(fma.f64 1/3 (*.f64 (cbrt.f64 (/.f64 1 (*.f64 (pow.f64 (cbrt.f64 -1) 2) (pow.f64 (log.f64 N) 2)))) (*.f64 N (*.f64 3 (pow.f64 (log.f64 N) 2)))) (*.f64 (log.f64 N) (cbrt.f64 -1)))
(fma.f64 1/3 (*.f64 N (*.f64 (*.f64 3 (pow.f64 (log.f64 N) 2)) (cbrt.f64 (/.f64 1 (*.f64 (pow.f64 (cbrt.f64 -1) 2) (pow.f64 (log.f64 N) 2)))))) (*.f64 (log.f64 N) (cbrt.f64 -1)))
(+.f64 (*.f64 1/3 (*.f64 (pow.f64 (/.f64 1 (*.f64 (pow.f64 (cbrt.f64 -1) 2) (pow.f64 (log.f64 N) 2))) 1/3) (*.f64 N (+.f64 (*.f64 2 (pow.f64 (log.f64 N) 2)) (pow.f64 (log.f64 N) 2))))) (+.f64 (*.f64 1/3 (/.f64 (*.f64 (pow.f64 N 2) (-.f64 (+.f64 (*.f64 -2 (log.f64 N)) (+.f64 (*.f64 -1 (*.f64 (log.f64 N) (+.f64 1 (log.f64 N)))) (*.f64 -1/2 (pow.f64 (log.f64 N) 2)))) (*.f64 1/3 (*.f64 (pow.f64 (/.f64 1 (*.f64 (cbrt.f64 -1) (log.f64 N))) 1/3) (pow.f64 (+.f64 (*.f64 2 (pow.f64 (log.f64 N) 2)) (pow.f64 (log.f64 N) 2)) 2))))) (*.f64 (pow.f64 (cbrt.f64 -1) 2) (pow.f64 (log.f64 N) 2)))) (*.f64 (cbrt.f64 -1) (log.f64 N))))
(fma.f64 1/3 (*.f64 (cbrt.f64 (/.f64 1 (*.f64 (pow.f64 (cbrt.f64 -1) 2) (pow.f64 (log.f64 N) 2)))) (*.f64 N (*.f64 3 (pow.f64 (log.f64 N) 2)))) (fma.f64 1/3 (/.f64 (*.f64 (pow.f64 N 2) (+.f64 (fma.f64 -2 (log.f64 N) (fma.f64 -1 (*.f64 (log.f64 N) (+.f64 (log.f64 N) 1)) (*.f64 -1/2 (pow.f64 (log.f64 N) 2)))) (*.f64 -1/3 (*.f64 (cbrt.f64 (/.f64 1 (*.f64 (log.f64 N) (cbrt.f64 -1)))) (pow.f64 (*.f64 3 (pow.f64 (log.f64 N) 2)) 2))))) (*.f64 (pow.f64 (cbrt.f64 -1) 2) (pow.f64 (log.f64 N) 2))) (*.f64 (log.f64 N) (cbrt.f64 -1))))
(fma.f64 1/3 (*.f64 N (*.f64 (*.f64 3 (pow.f64 (log.f64 N) 2)) (cbrt.f64 (/.f64 1 (*.f64 (pow.f64 (cbrt.f64 -1) 2) (pow.f64 (log.f64 N) 2)))))) (fma.f64 1/3 (*.f64 (/.f64 (pow.f64 N 2) (*.f64 (pow.f64 (cbrt.f64 -1) 2) (pow.f64 (log.f64 N) 2))) (+.f64 (fma.f64 -2 (log.f64 N) (fma.f64 -1 (*.f64 (log.f64 N) (+.f64 (log.f64 N) 1)) (*.f64 -1/2 (pow.f64 (log.f64 N) 2)))) (*.f64 -1/3 (*.f64 (cbrt.f64 (/.f64 1 (*.f64 (log.f64 N) (cbrt.f64 -1)))) (pow.f64 (*.f64 3 (pow.f64 (log.f64 N) 2)) 2))))) (*.f64 (log.f64 N) (cbrt.f64 -1))))
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(/.f64 (+.f64 (pow.f64 (log1p.f64 N) 3) (pow.f64 (log.f64 (cbrt.f64 (pow.f64 N -2))) 3)) (+.f64 (pow.f64 (log.f64 (cbrt.f64 (pow.f64 N -2))) 2) (-.f64 (pow.f64 (log1p.f64 N) 2) (*.f64 (log1p.f64 N) (log.f64 (cbrt.f64 (pow.f64 N -2)))))))
(/.f64 (+.f64 (pow.f64 (log1p.f64 N) 3) (pow.f64 (log.f64 (cbrt.f64 (pow.f64 N -2))) 3)) (-.f64 (+.f64 (pow.f64 (log1p.f64 N) 2) (pow.f64 (log.f64 (cbrt.f64 (pow.f64 N -2))) 2)) (*.f64 (log1p.f64 N) (log.f64 (cbrt.f64 (pow.f64 N -2))))))
(/.f64 (-.f64 (pow.f64 (log.f64 (cbrt.f64 (pow.f64 N -2))) 2) (pow.f64 (log1p.f64 N) 2)) (-.f64 (log.f64 (cbrt.f64 (pow.f64 N -2))) (log1p.f64 N)))
(/.f64 (neg.f64 (-.f64 (pow.f64 (log1p.f64 N) 2) (pow.f64 (log.f64 (cbrt.f64 (pow.f64 N -2))) 2))) (neg.f64 (-.f64 (log1p.f64 N) (log.f64 (cbrt.f64 (pow.f64 N -2))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (log1p.f64 N) 2) (pow.f64 (log.f64 (cbrt.f64 (pow.f64 N -2))) 2))) (-.f64 (log.f64 (cbrt.f64 (pow.f64 N -2))) (log1p.f64 N)))
(/.f64 (neg.f64 (+.f64 (pow.f64 (log1p.f64 N) 3) (pow.f64 (log.f64 (cbrt.f64 (pow.f64 N -2))) 3))) (neg.f64 (+.f64 (pow.f64 (log1p.f64 N) 2) (*.f64 (log.f64 (cbrt.f64 (pow.f64 N -2))) (-.f64 (log.f64 (cbrt.f64 (pow.f64 N -2))) (log1p.f64 N))))))
(pow.f64 (+.f64 (log1p.f64 N) (log.f64 (cbrt.f64 (pow.f64 N -2)))) 1)
(+.f64 (log1p.f64 N) (log.f64 (cbrt.f64 (pow.f64 N -2))))
(pow.f64 (pow.f64 (+.f64 (log1p.f64 N) (log.f64 (cbrt.f64 (pow.f64 N -2)))) 3) 1/3)
(+.f64 (log1p.f64 N) (log.f64 (cbrt.f64 (pow.f64 N -2))))
(pow.f64 (sqrt.f64 (+.f64 (log1p.f64 N) (log.f64 (cbrt.f64 (pow.f64 N -2))))) 2)
(+.f64 (log1p.f64 N) (log.f64 (cbrt.f64 (pow.f64 N -2))))
(pow.f64 (cbrt.f64 (+.f64 (log1p.f64 N) (log.f64 (cbrt.f64 (pow.f64 N -2))))) 3)
(+.f64 (log1p.f64 N) (log.f64 (cbrt.f64 (pow.f64 N -2))))
(sqrt.f64 (pow.f64 (+.f64 (log1p.f64 N) (log.f64 (cbrt.f64 (pow.f64 N -2)))) 2))
(log.f64 (*.f64 (+.f64 N 1) (cbrt.f64 (pow.f64 N -2))))
(log.f64 (+.f64 1 (-.f64 (*.f64 (+.f64 N 1) (cbrt.f64 (pow.f64 N -2))) 1)))
(log1p.f64 (fma.f64 (+.f64 N 1) (cbrt.f64 (pow.f64 N -2)) -1))
(cbrt.f64 (pow.f64 (+.f64 (log1p.f64 N) (log.f64 (cbrt.f64 (pow.f64 N -2)))) 3))
(+.f64 (log1p.f64 N) (log.f64 (cbrt.f64 (pow.f64 N -2))))
(expm1.f64 (log1p.f64 (+.f64 (log1p.f64 N) (log.f64 (cbrt.f64 (pow.f64 N -2))))))
(+.f64 (log1p.f64 N) (log.f64 (cbrt.f64 (pow.f64 N -2))))
(exp.f64 (log.f64 (+.f64 (log1p.f64 N) (log.f64 (cbrt.f64 (pow.f64 N -2))))))
(+.f64 (log1p.f64 N) (log.f64 (cbrt.f64 (pow.f64 N -2))))
(exp.f64 (*.f64 (log.f64 (+.f64 (log1p.f64 N) (log.f64 (cbrt.f64 (pow.f64 N -2))))) 1))
(+.f64 (log1p.f64 N) (log.f64 (cbrt.f64 (pow.f64 N -2))))
(log1p.f64 (-.f64 (*.f64 (+.f64 N 1) (cbrt.f64 (pow.f64 N -2))) 1))
(log1p.f64 (fma.f64 (+.f64 N 1) (cbrt.f64 (pow.f64 N -2)) -1))
(fma.f64 1 (log1p.f64 N) (log.f64 (cbrt.f64 (pow.f64 N -2))))
(fma.f64 1 (log.f64 (cbrt.f64 (pow.f64 N -2))) (log1p.f64 N))
(fma.f64 (sqrt.f64 (log.f64 (cbrt.f64 (pow.f64 N -2)))) (sqrt.f64 (log.f64 (cbrt.f64 (pow.f64 N -2)))) (log1p.f64 N))
(fma.f64 (sqrt.f64 (log1p.f64 N)) (sqrt.f64 (log1p.f64 N)) (log.f64 (cbrt.f64 (pow.f64 N -2))))
(fma.f64 (cbrt.f64 (pow.f64 (log.f64 (cbrt.f64 (pow.f64 N -2))) 2)) (cbrt.f64 (log.f64 (cbrt.f64 (pow.f64 N -2)))) (log1p.f64 N))
(fma.f64 (pow.f64 (cbrt.f64 (log1p.f64 N)) 2) (cbrt.f64 (log1p.f64 N)) (log.f64 (cbrt.f64 (pow.f64 N -2))))

eval631.0ms (5.6%)

Compiler

Compiled 23330 to 13619 computations (41.6% saved)

prune310.0ms (2.7%)

Pruning

21 alts after pruning (13 fresh and 8 done)

PrunedKeptTotal
New9438951
Fresh055
Picked235
Done055
Total94521966
Accuracy
100.0%
Counts
966 → 21
Alt Table
Click to see full alt table
StatusAccuracyProgram
53.2%
(pow.f64 (pow.f64 (/.f64 (*.f64 (-.f64 (pow.f64 (log1p.f64 N) 4) (pow.f64 (log.f64 N) 4)) (/.f64 1 (+.f64 (log1p.f64 N) (log.f64 N)))) (+.f64 (pow.f64 (log1p.f64 N) 2) (pow.f64 (log.f64 N) 2))) 3) 1/3)
✓53.2%
(pow.f64 (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 3) 1/3)
18.7%
(pow.f64 (pow.f64 (+.f64 (/.f64 1 N) (-.f64 (/.f64 1/3 (pow.f64 N 3)) (+.f64 (/.f64 1/2 (pow.f64 N 2)) (/.f64 1/4 (pow.f64 N 4))))) 3) 1/3)
✓54.0%
(pow.f64 (sqrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))) 2)
54.0%
(pow.f64 (log.f64 (exp.f64 (sqrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))))) 2)
54.2%
(/.f64 (-.f64 (pow.f64 (log1p.f64 N) 4) (pow.f64 (log.f64 N) 4)) (*.f64 (+.f64 (log1p.f64 N) (log.f64 N)) (+.f64 (pow.f64 (log1p.f64 N) 2) (pow.f64 (log.f64 N) 2))))
✓51.5%
(/.f64 1 N)
▶49.6%
(-.f64 (/.f64 1 N) (/.f64 1/2 (pow.f64 N 2)))
✓54.3%
(-.f64 (log1p.f64 N) (log.f64 N))
▶4.5%
(-.f64 (exp.f64 (log1p.f64 (*.f64 (pow.f64 N -3) (+.f64 (*.f64 N (+.f64 N -1/2)) 1/3)))) 1)
✓51.5%
(-.f64 N (log.f64 N))
49.9%
(+.f64 (/.f64 1 N) (-.f64 (/.f64 1/3 (pow.f64 N 3)) (+.f64 (/.f64 1/2 (pow.f64 N 2)) (/.f64 1/4 (pow.f64 N 4)))))
▶27.9%
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (*.f64 (+.f64 N -1/2) (pow.f64 N -2)))
▶53.9%
(+.f64 (+.f64 (log1p.f64 N) (log.f64 (pow.f64 N -2/3))) (log.f64 (cbrt.f64 (/.f64 1 N))))
19.5%
(*.f64 (pow.f64 N -3) (+.f64 (*.f64 N (+.f64 N -1/2)) 1/3))
▶54.5%
(neg.f64 (*.f64 2 (log.f64 (sqrt.f64 (/.f64 N (+.f64 N 1))))))
✓54.5%
(neg.f64 (log.f64 (/.f64 N (+.f64 N 1))))
✓49.9%
(neg.f64 (log.f64 N))
✓54.4%
(log.f64 (/.f64 (+.f64 N 1) N))
18.6%
(exp.f64 (log.f64 (*.f64 (pow.f64 N -3) (+.f64 (*.f64 N (+.f64 N -1/2)) 1/3))))
4.8%
N
53.2%
(pow.f64 (pow.f64 (/.f64 (*.f64 (-.f64 (pow.f64 (log1p.f64 N) 4) (pow.f64 (log.f64 N) 4)) (/.f64 1 (+.f64 (log1p.f64 N) (log.f64 N)))) (+.f64 (pow.f64 (log1p.f64 N) 2) (pow.f64 (log.f64 N) 2))) 3) 1/3)
✓53.2%
(pow.f64 (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 3) 1/3)
18.7%
(pow.f64 (pow.f64 (+.f64 (/.f64 1 N) (-.f64 (/.f64 1/3 (pow.f64 N 3)) (+.f64 (/.f64 1/2 (pow.f64 N 2)) (/.f64 1/4 (pow.f64 N 4))))) 3) 1/3)
✓54.0%
(pow.f64 (sqrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))) 2)
54.0%
(pow.f64 (log.f64 (exp.f64 (sqrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))))) 2)
54.2%
(/.f64 (-.f64 (pow.f64 (log1p.f64 N) 4) (pow.f64 (log.f64 N) 4)) (*.f64 (+.f64 (log1p.f64 N) (log.f64 N)) (+.f64 (pow.f64 (log1p.f64 N) 2) (pow.f64 (log.f64 N) 2))))
✓51.5%
(/.f64 1 N)
▶49.6%
(-.f64 (/.f64 1 N) (/.f64 1/2 (pow.f64 N 2)))
✓54.3%
(-.f64 (log1p.f64 N) (log.f64 N))
▶4.5%
(-.f64 (exp.f64 (log1p.f64 (*.f64 (pow.f64 N -3) (+.f64 (*.f64 N (+.f64 N -1/2)) 1/3)))) 1)
✓51.5%
(-.f64 N (log.f64 N))
49.9%
(+.f64 (/.f64 1 N) (-.f64 (/.f64 1/3 (pow.f64 N 3)) (+.f64 (/.f64 1/2 (pow.f64 N 2)) (/.f64 1/4 (pow.f64 N 4)))))
▶27.9%
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (*.f64 (+.f64 N -1/2) (pow.f64 N -2)))
▶53.9%
(+.f64 (+.f64 (log1p.f64 N) (log.f64 (pow.f64 N -2/3))) (log.f64 (cbrt.f64 (/.f64 1 N))))
19.5%
(*.f64 (pow.f64 N -3) (+.f64 (*.f64 N (+.f64 N -1/2)) 1/3))
▶54.5%
(neg.f64 (*.f64 2 (log.f64 (sqrt.f64 (/.f64 N (+.f64 N 1))))))
✓54.5%
(neg.f64 (log.f64 (/.f64 N (+.f64 N 1))))
✓49.9%
(neg.f64 (log.f64 N))
✓54.4%
(log.f64 (/.f64 (+.f64 N 1) N))
18.6%
(exp.f64 (log.f64 (*.f64 (pow.f64 N -3) (+.f64 (*.f64 N (+.f64 N -1/2)) 1/3))))
4.8%
N
Compiler

Compiled 942 to 716 computations (24% saved)

localize828.0ms (7.3%)

Localize:

Found 16 expressions with local error:

NewAccuracyProgram
✓99.3%
(+.f64 (log1p.f64 N) (log.f64 (pow.f64 N -2/3)))
99.1%
(cbrt.f64 (/.f64 1 N))
✓90.8%
(pow.f64 N -2/3)
✓53.3%
(+.f64 (+.f64 (log1p.f64 N) (log.f64 (pow.f64 N -2/3))) (log.f64 (cbrt.f64 (/.f64 1 N))))
✓98.6%
(exp.f64 (log1p.f64 (*.f64 (pow.f64 N -3) (+.f64 (*.f64 N (+.f64 N -1/2)) 1/3))))
✓68.4%
(*.f64 (pow.f64 N -3) (+.f64 (*.f64 N (+.f64 N -1/2)) 1/3))
✓67.8%
(log1p.f64 (*.f64 (pow.f64 N -3) (+.f64 (*.f64 N (+.f64 N -1/2)) 1/3)))
✓54.5%
(-.f64 (exp.f64 (log1p.f64 (*.f64 (pow.f64 N -3) (+.f64 (*.f64 N (+.f64 N -1/2)) 1/3)))) 1)
99.3%
(/.f64 1/3 (pow.f64 N 3))
✓82.2%
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (*.f64 (+.f64 N -1/2) (pow.f64 N -2)))
✓77.1%
(*.f64 (+.f64 N -1/2) (pow.f64 N -2))
100.0%
(-.f64 (/.f64 1 N) (/.f64 1/2 (pow.f64 N 2)))
99.7%
(/.f64 1/2 (pow.f64 N 2))
100.0%
(/.f64 N (+.f64 N 1))
✓100.0%
(sqrt.f64 (/.f64 N (+.f64 N 1)))
✓54.5%
(log.f64 (sqrt.f64 (/.f64 N (+.f64 N 1))))
Compiler

Compiled 226 to 165 computations (27% saved)

series66.0ms (0.6%)

Counts
11 → 112
Calls

33 calls:

TimeVariablePointExpression
19.0ms
N
@0
(pow.f64 N -2/3)
18.0ms
N
@inf
(pow.f64 N -2/3)
9.0ms
N
@-inf
(pow.f64 N -2/3)
5.0ms
N
@-inf
(-.f64 (exp.f64 (log1p.f64 (*.f64 (pow.f64 N -3) (+.f64 (*.f64 N (+.f64 N -1/2)) 1/3)))) 1)
4.0ms
N
@0
(log.f64 (sqrt.f64 (/.f64 N (+.f64 N 1))))

rewrite236.0ms (2.1%)

Algorithm
1×batch-egg-rewrite
Rules
275×pow1
259×add-exp-log
255×add-log-exp
251×log1p-expm1-u
250×*-un-lft-identity
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
038372
1642331
Stop Event
1×node limit
Counts
11 → 354
Calls
Call 1
Inputs
(log.f64 (sqrt.f64 (/.f64 N (+.f64 N 1))))
(sqrt.f64 (/.f64 N (+.f64 N 1)))
(*.f64 (+.f64 N -1/2) (pow.f64 N -2))
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (*.f64 (+.f64 N -1/2) (pow.f64 N -2)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (pow.f64 N -3) (+.f64 (*.f64 N (+.f64 N -1/2)) 1/3)))) 1)
(log1p.f64 (*.f64 (pow.f64 N -3) (+.f64 (*.f64 N (+.f64 N -1/2)) 1/3)))
(*.f64 (pow.f64 N -3) (+.f64 (*.f64 N (+.f64 N -1/2)) 1/3))
(exp.f64 (log1p.f64 (*.f64 (pow.f64 N -3) (+.f64 (*.f64 N (+.f64 N -1/2)) 1/3))))
(+.f64 (+.f64 (log1p.f64 N) (log.f64 (pow.f64 N -2/3))) (log.f64 (cbrt.f64 (/.f64 1 N))))
(pow.f64 N -2/3)
(+.f64 (log1p.f64 N) (log.f64 (pow.f64 N -2/3)))
Outputs
(+.f64 0 (*.f64 1/2 (-.f64 (log.f64 N) (log1p.f64 N))))
(+.f64 (log.f64 (cbrt.f64 (/.f64 N (+.f64 N 1)))) (log.f64 (cbrt.f64 (sqrt.f64 (/.f64 N (+.f64 N 1))))))
(+.f64 (log.f64 (pow.f64 (/.f64 N (+.f64 N 1)) 1/4)) (log.f64 (pow.f64 (/.f64 N (+.f64 N 1)) 1/4)))
(-.f64 (log.f64 (sqrt.f64 N)) (log.f64 (sqrt.f64 (+.f64 N 1))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 1/2 (-.f64 (log.f64 N) (log1p.f64 N))))) 1)
(*.f64 1 (*.f64 1/2 (-.f64 (log.f64 N) (log1p.f64 N))))
(*.f64 (*.f64 1/2 (-.f64 (log.f64 N) (log1p.f64 N))) 1)
(*.f64 (sqrt.f64 (*.f64 1/2 (-.f64 (log.f64 N) (log1p.f64 N)))) (sqrt.f64 (*.f64 1/2 (-.f64 (log.f64 N) (log1p.f64 N)))))
(*.f64 (cbrt.f64 (*.f64 1/2 (-.f64 (log.f64 N) (log1p.f64 N)))) (pow.f64 (cbrt.f64 (*.f64 1/2 (-.f64 (log.f64 N) (log1p.f64 N)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 1/2 (-.f64 (log.f64 N) (log1p.f64 N)))) 2) (cbrt.f64 (*.f64 1/2 (-.f64 (log.f64 N) (log1p.f64 N)))))
(*.f64 1/2 (-.f64 (log.f64 N) (log1p.f64 N)))
(pow.f64 (*.f64 1/2 (-.f64 (log.f64 N) (log1p.f64 N))) 1)
(pow.f64 (sqrt.f64 (*.f64 1/2 (-.f64 (log.f64 N) (log1p.f64 N)))) 2)
(pow.f64 (cbrt.f64 (*.f64 1/2 (-.f64 (log.f64 N) (log1p.f64 N)))) 3)
(pow.f64 (pow.f64 (*.f64 1/2 (-.f64 (log.f64 N) (log1p.f64 N))) 3) 1/3)
(sqrt.f64 (pow.f64 (*.f64 1/2 (-.f64 (log.f64 N) (log1p.f64 N))) 2))
(cbrt.f64 (pow.f64 (*.f64 1/2 (-.f64 (log.f64 N) (log1p.f64 N))) 3))
(expm1.f64 (log1p.f64 (*.f64 1/2 (-.f64 (log.f64 N) (log1p.f64 N)))))
(exp.f64 (log.f64 (*.f64 1/2 (-.f64 (log.f64 N) (log1p.f64 N)))))
(exp.f64 (*.f64 (log.f64 (*.f64 1/2 (-.f64 (log.f64 N) (log1p.f64 N)))) 1))
(log1p.f64 (-.f64 (sqrt.f64 (/.f64 N (+.f64 N 1))) 1))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (/.f64 N (+.f64 N 1))))) 1)
(*.f64 1 (sqrt.f64 (/.f64 N (+.f64 N 1))))
(*.f64 (sqrt.f64 (/.f64 N (+.f64 N 1))) 1)
(*.f64 (sqrt.f64 N) (/.f64 1 (sqrt.f64 (+.f64 N 1))))
(*.f64 (sqrt.f64 N) (sqrt.f64 (/.f64 1 (+.f64 N 1))))
(*.f64 (sqrt.f64 N) (pow.f64 (/.f64 1 (+.f64 N 1)) 1/2))
(*.f64 (pow.f64 (/.f64 N (+.f64 N 1)) 1/4) (pow.f64 (/.f64 N (+.f64 N 1)) 1/4))
(*.f64 (cbrt.f64 (/.f64 N (+.f64 N 1))) (cbrt.f64 (sqrt.f64 (/.f64 N (+.f64 N 1)))))
(*.f64 (cbrt.f64 (sqrt.f64 (/.f64 N (+.f64 N 1)))) (cbrt.f64 (/.f64 N (+.f64 N 1))))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 N (+.f64 N 1))) 2)) (sqrt.f64 (cbrt.f64 (/.f64 N (+.f64 N 1)))))
(*.f64 (pow.f64 1 1/2) (sqrt.f64 (/.f64 N (+.f64 N 1))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (/.f64 N (+.f64 N 1))) 2) 1/2) (pow.f64 (cbrt.f64 (/.f64 N (+.f64 N 1))) 1/2))
(/.f64 1 (/.f64 (sqrt.f64 (+.f64 N 1)) (sqrt.f64 N)))
(/.f64 1 (sqrt.f64 (/.f64 (+.f64 N 1) N)))
(/.f64 (sqrt.f64 N) (sqrt.f64 (+.f64 N 1)))
(/.f64 (neg.f64 (sqrt.f64 N)) (neg.f64 (sqrt.f64 (+.f64 N 1))))
(/.f64 (sqrt.f64 (neg.f64 N)) (sqrt.f64 (+.f64 -1 (neg.f64 N))))
(pow.f64 (/.f64 N (+.f64 N 1)) 1/2)
(pow.f64 (sqrt.f64 (/.f64 N (+.f64 N 1))) 1)
(pow.f64 (pow.f64 (/.f64 N (+.f64 N 1)) 1/4) 2)
(pow.f64 (cbrt.f64 (sqrt.f64 (/.f64 N (+.f64 N 1)))) 3)
(pow.f64 (pow.f64 (/.f64 N (+.f64 N 1)) 3/2) 1/3)
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (*.f64 1/2 (-.f64 (log.f64 N) (log1p.f64 N)))) 2)) (cbrt.f64 (*.f64 1/2 (-.f64 (log.f64 N) (log1p.f64 N)))))
(pow.f64 (exp.f64 (sqrt.f64 (*.f64 1/2 (-.f64 (log.f64 N) (log1p.f64 N))))) (sqrt.f64 (*.f64 1/2 (-.f64 (log.f64 N) (log1p.f64 N)))))
(pow.f64 (exp.f64 1) (*.f64 1/2 (-.f64 (log.f64 N) (log1p.f64 N))))
(fabs.f64 (sqrt.f64 (/.f64 N (+.f64 N 1))))
(log.f64 (exp.f64 (sqrt.f64 (/.f64 N (+.f64 N 1)))))
(log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (/.f64 N (+.f64 N 1))))))
(cbrt.f64 (pow.f64 (/.f64 N (+.f64 N 1)) 3/2))
(expm1.f64 (log1p.f64 (sqrt.f64 (/.f64 N (+.f64 N 1)))))
(exp.f64 (*.f64 1/2 (-.f64 (log.f64 N) (log1p.f64 N))))
(exp.f64 (*.f64 (-.f64 (log.f64 N) (log1p.f64 N)) 1/2))
(log1p.f64 (expm1.f64 (sqrt.f64 (/.f64 N (+.f64 N 1)))))
(+.f64 (*.f64 (pow.f64 N -2) N) (*.f64 (pow.f64 N -2) -1/2))
(+.f64 (*.f64 (pow.f64 N -2) -1/2) (*.f64 (pow.f64 N -2) N))
(+.f64 (*.f64 N (pow.f64 N -2)) (*.f64 -1/2 (pow.f64 N -2)))
(+.f64 (*.f64 -1/2 (pow.f64 N -2)) (*.f64 N (pow.f64 N -2)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (+.f64 N -1/2) (pow.f64 N -2)))) 1)
(/.f64 (*.f64 (pow.f64 N -2) (fma.f64 N N -1/4)) (+.f64 N 1/2))
(/.f64 (*.f64 (pow.f64 N -2) (+.f64 (pow.f64 N 3) -1/8)) (fma.f64 N N (-.f64 1/4 (*.f64 N -1/2))))
(/.f64 (*.f64 (fma.f64 N N -1/4) (pow.f64 N -2)) (+.f64 N 1/2))
(/.f64 (*.f64 (+.f64 (pow.f64 N 3) -1/8) (pow.f64 N -2)) (fma.f64 N N (-.f64 1/4 (*.f64 N -1/2))))
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(pow.f64 (*.f64 (pow.f64 (+.f64 N -1/2) 3) (pow.f64 N -6)) 1/3)
(pow.f64 (*.f64 (/.f64 1 N) (sqrt.f64 (+.f64 N -1/2))) 2)
(pow.f64 (cbrt.f64 (*.f64 (+.f64 N -1/2) (pow.f64 N -2))) 3)
(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 (*.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))))
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(exp.f64 (*.f64 (log.f64 (*.f64 (+.f64 N -1/2) (pow.f64 N -2))) 1))
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(exp.f64 (log.f64 (fma.f64 (+.f64 N -1/2) (pow.f64 N -2) (*.f64 1/3 (pow.f64 N -3)))))
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(fma.f64 1 (*.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)))
(fma.f64 (pow.f64 N -2) (+.f64 N -1/2) (*.f64 1/3 (pow.f64 N -3)))
(fma.f64 1/3 (pow.f64 N -3) (*.f64 (+.f64 N -1/2) (pow.f64 N -2)))
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(+.f64 (*.f64 1/3 (pow.f64 N -3)) (*.f64 (+.f64 N -1/2) (*.f64 N (pow.f64 N -3))))
(+.f64 (+.f64 1 (*.f64 (pow.f64 N -3) (fma.f64 N (+.f64 N -1/2) 1/3))) -1)
(+.f64 (*.f64 (+.f64 N -1/2) (*.f64 N (pow.f64 N -3))) (*.f64 1/3 (pow.f64 N -3)))
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(log.f64 (+.f64 1 (expm1.f64 (*.f64 (pow.f64 N -3) (fma.f64 N (+.f64 N -1/2) 1/3)))))
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(/.f64 1 (/.f64 (+.f64 (pow.f64 (fma.f64 -2/3 (log.f64 N) (log1p.f64 N)) 2) (*.f64 (neg.f64 (log.f64 (cbrt.f64 N))) (-.f64 (neg.f64 (log.f64 (cbrt.f64 N))) (fma.f64 -2/3 (log.f64 N) (log1p.f64 N))))) (+.f64 (pow.f64 (fma.f64 -2/3 (log.f64 N) (log1p.f64 N)) 3) (pow.f64 (neg.f64 (log.f64 (cbrt.f64 N))) 3))))
(/.f64 (-.f64 (pow.f64 (fma.f64 -2/3 (log.f64 N) (log1p.f64 N)) 2) (pow.f64 (neg.f64 (log.f64 (cbrt.f64 N))) 2)) (-.f64 (fma.f64 -2/3 (log.f64 N) (log1p.f64 N)) (neg.f64 (log.f64 (cbrt.f64 N)))))
(/.f64 (+.f64 (pow.f64 (fma.f64 -2/3 (log.f64 N) (log1p.f64 N)) 3) (pow.f64 (neg.f64 (log.f64 (cbrt.f64 N))) 3)) (+.f64 (pow.f64 (fma.f64 -2/3 (log.f64 N) (log1p.f64 N)) 2) (*.f64 (neg.f64 (log.f64 (cbrt.f64 N))) (-.f64 (neg.f64 (log.f64 (cbrt.f64 N))) (fma.f64 -2/3 (log.f64 N) (log1p.f64 N))))))
(/.f64 (+.f64 (pow.f64 (fma.f64 -2/3 (log.f64 N) (log1p.f64 N)) 3) (pow.f64 (neg.f64 (log.f64 (cbrt.f64 N))) 3)) (+.f64 (pow.f64 (neg.f64 (log.f64 (cbrt.f64 N))) 2) (-.f64 (pow.f64 (fma.f64 -2/3 (log.f64 N) (log1p.f64 N)) 2) (*.f64 (fma.f64 -2/3 (log.f64 N) (log1p.f64 N)) (neg.f64 (log.f64 (cbrt.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))))
(/.f64 (-.f64 (pow.f64 (neg.f64 (log.f64 (cbrt.f64 N))) 2) (pow.f64 (fma.f64 -2/3 (log.f64 N) (log1p.f64 N)) 2)) (-.f64 (neg.f64 (log.f64 (cbrt.f64 N))) (fma.f64 -2/3 (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 (neg.f64 (-.f64 (pow.f64 (fma.f64 -2/3 (log.f64 N) (log1p.f64 N)) 2) (pow.f64 (neg.f64 (log.f64 (cbrt.f64 N))) 2))) (neg.f64 (-.f64 (fma.f64 -2/3 (log.f64 N) (log1p.f64 N)) (neg.f64 (log.f64 (cbrt.f64 N))))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (fma.f64 -2/3 (log.f64 N) (log1p.f64 N)) 3) (pow.f64 (neg.f64 (log.f64 (cbrt.f64 N))) 3))) (neg.f64 (+.f64 (pow.f64 (fma.f64 -2/3 (log.f64 N) (log1p.f64 N)) 2) (*.f64 (neg.f64 (log.f64 (cbrt.f64 N))) (-.f64 (neg.f64 (log.f64 (cbrt.f64 N))) (fma.f64 -2/3 (log.f64 N) (log1p.f64 N)))))))
(pow.f64 (log.f64 (/.f64 (+.f64 N 1) N)) 1)
(pow.f64 (sqrt.f64 (log.f64 (/.f64 (+.f64 N 1) N))) 2)
(pow.f64 (cbrt.f64 (log.f64 (/.f64 (+.f64 N 1) N))) 3)
(pow.f64 (pow.f64 (log.f64 (/.f64 (+.f64 N 1) N)) 3) 1/3)
(sqrt.f64 (pow.f64 (log.f64 (/.f64 (+.f64 N 1) N)) 2))
(log.f64 (/.f64 (+.f64 N 1) N))
(log.f64 (+.f64 1 (-.f64 (/.f64 (+.f64 N 1) N) 1)))
(cbrt.f64 (pow.f64 (log.f64 (/.f64 (+.f64 N 1) N)) 3))
(expm1.f64 (log1p.f64 (log.f64 (/.f64 (+.f64 N 1) N))))
(exp.f64 (log.f64 (log.f64 (/.f64 (+.f64 N 1) N))))
(exp.f64 (*.f64 (log.f64 (log.f64 (/.f64 (+.f64 N 1) N))) 1))
(log1p.f64 (-.f64 (/.f64 (+.f64 N 1) N) 1))
(fma.f64 1 (log1p.f64 N) (neg.f64 (log.f64 N)))
(fma.f64 1 (fma.f64 -2/3 (log.f64 N) (log1p.f64 N)) (neg.f64 (log.f64 (cbrt.f64 N))))
(fma.f64 1 (neg.f64 (log.f64 (cbrt.f64 N))) (fma.f64 -2/3 (log.f64 N) (log1p.f64 N)))
(fma.f64 (sqrt.f64 (fma.f64 -2/3 (log.f64 N) (log1p.f64 N))) (sqrt.f64 (fma.f64 -2/3 (log.f64 N) (log1p.f64 N))) (neg.f64 (log.f64 (cbrt.f64 N))))
(fma.f64 (sqrt.f64 (neg.f64 (log.f64 (cbrt.f64 N)))) (sqrt.f64 (neg.f64 (log.f64 (cbrt.f64 N)))) (fma.f64 -2/3 (log.f64 N) (log1p.f64 N)))
(fma.f64 (sqrt.f64 (log1p.f64 N)) (sqrt.f64 (log1p.f64 N)) (neg.f64 (log.f64 N)))
(fma.f64 (cbrt.f64 (pow.f64 (fma.f64 -2/3 (log.f64 N) (log1p.f64 N)) 2)) (cbrt.f64 (fma.f64 -2/3 (log.f64 N) (log1p.f64 N))) (neg.f64 (log.f64 (cbrt.f64 N))))
(fma.f64 (pow.f64 (cbrt.f64 (neg.f64 (log.f64 (cbrt.f64 N)))) 2) (cbrt.f64 (neg.f64 (log.f64 (cbrt.f64 N)))) (fma.f64 -2/3 (log.f64 N) (log1p.f64 N)))
(fma.f64 (pow.f64 (cbrt.f64 (log1p.f64 N)) 2) (cbrt.f64 (log1p.f64 N)) (neg.f64 (log.f64 N)))
(-.f64 (exp.f64 (log1p.f64 (cbrt.f64 (pow.f64 N -2)))) 1)
(*.f64 1 (cbrt.f64 (pow.f64 N -2)))
(*.f64 (pow.f64 N -1/2) (cbrt.f64 (pow.f64 N -1/2)))
(*.f64 (cbrt.f64 (pow.f64 N -1/2)) (*.f64 (cbrt.f64 (pow.f64 N -1/2)) (/.f64 1 (cbrt.f64 N))))
(*.f64 (/.f64 1 (cbrt.f64 N)) (/.f64 1 (cbrt.f64 N)))
(*.f64 (cbrt.f64 (pow.f64 N -2)) 1)
(*.f64 (cbrt.f64 (cbrt.f64 (pow.f64 N -2))) (cbrt.f64 (cbrt.f64 (pow.f64 N -4))))
(*.f64 (cbrt.f64 (cbrt.f64 (pow.f64 N -2))) (*.f64 (cbrt.f64 (/.f64 1 (cbrt.f64 N))) (/.f64 1 (cbrt.f64 N))))
(*.f64 (cbrt.f64 (cbrt.f64 (pow.f64 N -4))) (cbrt.f64 (cbrt.f64 (pow.f64 N -2))))
(*.f64 (*.f64 (/.f64 1 (cbrt.f64 N)) (cbrt.f64 (cbrt.f64 (pow.f64 N -2)))) (cbrt.f64 (/.f64 1 (cbrt.f64 N))))
(*.f64 (pow.f64 1 -2/3) (cbrt.f64 (pow.f64 N -2)))
(*.f64 (pow.f64 (sqrt.f64 N) -2/3) (pow.f64 (sqrt.f64 N) -2/3))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 N) 2) -2/3) (pow.f64 (cbrt.f64 N) -2/3))
(/.f64 1 (pow.f64 (cbrt.f64 N) 2))
(/.f64 (/.f64 1 (cbrt.f64 N)) (cbrt.f64 N))
(sqrt.f64 (cbrt.f64 (pow.f64 N -4)))
(log.f64 (exp.f64 (cbrt.f64 (pow.f64 N -2))))
(log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 (pow.f64 N -2)))))
(cbrt.f64 (pow.f64 N -2))
(expm1.f64 (log1p.f64 (cbrt.f64 (pow.f64 N -2))))
(exp.f64 (*.f64 -2/3 (log.f64 N)))
(log1p.f64 (expm1.f64 (cbrt.f64 (pow.f64 N -2))))
(-.f64 (/.f64 (pow.f64 (log1p.f64 N) 2) (+.f64 (log1p.f64 N) (*.f64 2/3 (log.f64 N)))) (/.f64 (pow.f64 (*.f64 -2/3 (log.f64 N)) 2) (+.f64 (log1p.f64 N) (*.f64 2/3 (log.f64 N)))))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 -2/3 (log.f64 N) (log1p.f64 N)))) 1)
(*.f64 1 (fma.f64 -2/3 (log.f64 N) (log1p.f64 N)))
(*.f64 (fma.f64 -2/3 (log.f64 N) (log1p.f64 N)) 1)
(*.f64 (-.f64 (pow.f64 (log1p.f64 N) 2) (pow.f64 (*.f64 -2/3 (log.f64 N)) 2)) (/.f64 1 (+.f64 (log1p.f64 N) (*.f64 2/3 (log.f64 N)))))
(*.f64 (+.f64 (pow.f64 (log1p.f64 N) 3) (*.f64 -8/27 (pow.f64 (log.f64 N) 3))) (/.f64 1 (+.f64 (pow.f64 (log1p.f64 N) 2) (*.f64 (*.f64 -2/3 (log.f64 N)) (-.f64 (*.f64 -2/3 (log.f64 N)) (log1p.f64 N))))))
(*.f64 (sqrt.f64 (fma.f64 -2/3 (log.f64 N) (log1p.f64 N))) (sqrt.f64 (fma.f64 -2/3 (log.f64 N) (log1p.f64 N))))
(*.f64 (cbrt.f64 (fma.f64 -2/3 (log.f64 N) (log1p.f64 N))) (cbrt.f64 (pow.f64 (fma.f64 -2/3 (log.f64 N) (log1p.f64 N)) 2)))
(*.f64 (cbrt.f64 (pow.f64 (fma.f64 -2/3 (log.f64 N) (log1p.f64 N)) 2)) (cbrt.f64 (fma.f64 -2/3 (log.f64 N) (log1p.f64 N))))
(/.f64 1 (/.f64 (+.f64 (log1p.f64 N) (*.f64 2/3 (log.f64 N))) (-.f64 (pow.f64 (log1p.f64 N) 2) (pow.f64 (*.f64 -2/3 (log.f64 N)) 2))))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (log1p.f64 N) 2) (*.f64 (*.f64 -2/3 (log.f64 N)) (-.f64 (*.f64 -2/3 (log.f64 N)) (log1p.f64 N)))) (+.f64 (pow.f64 (log1p.f64 N) 3) (*.f64 -8/27 (pow.f64 (log.f64 N) 3)))))
(/.f64 (-.f64 (pow.f64 (log1p.f64 N) 2) (pow.f64 (*.f64 -2/3 (log.f64 N)) 2)) (+.f64 (log1p.f64 N) (*.f64 2/3 (log.f64 N))))
(/.f64 (+.f64 (pow.f64 (log1p.f64 N) 3) (*.f64 -8/27 (pow.f64 (log.f64 N) 3))) (+.f64 (pow.f64 (log1p.f64 N) 2) (*.f64 (*.f64 -2/3 (log.f64 N)) (-.f64 (*.f64 -2/3 (log.f64 N)) (log1p.f64 N)))))
(/.f64 (+.f64 (pow.f64 (log1p.f64 N) 3) (*.f64 -8/27 (pow.f64 (log.f64 N) 3))) (+.f64 (pow.f64 (*.f64 -2/3 (log.f64 N)) 2) (-.f64 (pow.f64 (log1p.f64 N) 2) (*.f64 (log1p.f64 N) (*.f64 -2/3 (log.f64 N))))))
(/.f64 (-.f64 (pow.f64 (*.f64 -2/3 (log.f64 N)) 2) (pow.f64 (log1p.f64 N) 2)) (-.f64 (*.f64 -2/3 (log.f64 N)) (log1p.f64 N)))
(/.f64 (neg.f64 (-.f64 (pow.f64 (log1p.f64 N) 2) (pow.f64 (*.f64 -2/3 (log.f64 N)) 2))) (neg.f64 (+.f64 (log1p.f64 N) (*.f64 2/3 (log.f64 N)))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (log1p.f64 N) 3) (*.f64 -8/27 (pow.f64 (log.f64 N) 3)))) (neg.f64 (+.f64 (pow.f64 (log1p.f64 N) 2) (*.f64 (*.f64 -2/3 (log.f64 N)) (-.f64 (*.f64 -2/3 (log.f64 N)) (log1p.f64 N))))))
(pow.f64 (fma.f64 -2/3 (log.f64 N) (log1p.f64 N)) 1)
(pow.f64 (pow.f64 (fma.f64 -2/3 (log.f64 N) (log1p.f64 N)) 3) 1/3)
(pow.f64 (sqrt.f64 (fma.f64 -2/3 (log.f64 N) (log1p.f64 N))) 2)
(pow.f64 (cbrt.f64 (fma.f64 -2/3 (log.f64 N) (log1p.f64 N))) 3)
(sqrt.f64 (pow.f64 (fma.f64 -2/3 (log.f64 N) (log1p.f64 N)) 2))
(log.f64 (exp.f64 (fma.f64 -2/3 (log.f64 N) (log1p.f64 N))))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 -2/3 (log.f64 N) (log1p.f64 N)))))
(cbrt.f64 (pow.f64 (fma.f64 -2/3 (log.f64 N) (log1p.f64 N)) 3))
(expm1.f64 (log1p.f64 (fma.f64 -2/3 (log.f64 N) (log1p.f64 N))))
(exp.f64 (log.f64 (fma.f64 -2/3 (log.f64 N) (log1p.f64 N))))
(exp.f64 (*.f64 (log.f64 (fma.f64 -2/3 (log.f64 N) (log1p.f64 N))) 1))
(log1p.f64 (expm1.f64 (fma.f64 -2/3 (log.f64 N) (log1p.f64 N))))
(fma.f64 1 (log1p.f64 N) (*.f64 -2/3 (log.f64 N)))
(fma.f64 1 (*.f64 -2/3 (log.f64 N)) (log1p.f64 N))
(fma.f64 -2/3 (log.f64 N) (log1p.f64 N))
(fma.f64 (sqrt.f64 (*.f64 -2/3 (log.f64 N))) (sqrt.f64 (*.f64 -2/3 (log.f64 N))) (log1p.f64 N))
(fma.f64 (sqrt.f64 (log1p.f64 N)) (sqrt.f64 (log1p.f64 N)) (*.f64 -2/3 (log.f64 N)))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 -2/3 (log.f64 N))) 2) (cbrt.f64 (*.f64 -2/3 (log.f64 N))) (log1p.f64 N))
(fma.f64 (pow.f64 (cbrt.f64 (log1p.f64 N)) 2) (cbrt.f64 (log1p.f64 N)) (*.f64 -2/3 (log.f64 N)))

simplify193.0ms (1.7%)

Algorithm
1×egg-herbie
Rules
449×associate-*r*
438×associate-*l*
381×fma-def
333×+-commutative
297×*-commutative
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
08698589958574
1219821841
Stop Event
1×node limit
Counts
466 → 563
Calls
Call 1
Inputs
(/.f64 -1/2 N)
(-.f64 (*.f64 1/4 (/.f64 1 (pow.f64 N 2))) (*.f64 1/2 (/.f64 1 N)))
(-.f64 (*.f64 1/4 (/.f64 1 (pow.f64 N 2))) (+.f64 (*.f64 1/6 (/.f64 1 (pow.f64 N 3))) (*.f64 1/2 (/.f64 1 N))))
(-.f64 (+.f64 (*.f64 1/8 (/.f64 1 (pow.f64 N 4))) (*.f64 1/4 (/.f64 1 (pow.f64 N 2)))) (+.f64 (*.f64 1/6 (/.f64 1 (pow.f64 N 3))) (*.f64 1/2 (/.f64 1 N))))
(log.f64 (pow.f64 (sqrt.f64 -1) 2))
(+.f64 (log.f64 (pow.f64 (sqrt.f64 -1) 2)) (*.f64 1/2 (/.f64 1 (*.f64 N (pow.f64 (sqrt.f64 -1) 2)))))
(+.f64 (log.f64 (pow.f64 (sqrt.f64 -1) 2)) (+.f64 (*.f64 1/2 (/.f64 1 (*.f64 N (pow.f64 (sqrt.f64 -1) 2)))) (*.f64 1/2 (/.f64 (-.f64 (*.f64 -1 (/.f64 (+.f64 1 (pow.f64 (/.f64 -1/2 (sqrt.f64 -1)) 2)) (pow.f64 (sqrt.f64 -1) 2))) (*.f64 1/4 (/.f64 1 (pow.f64 (sqrt.f64 -1) 4)))) (pow.f64 N 2)))))
(+.f64 (log.f64 (pow.f64 (sqrt.f64 -1) 2)) (+.f64 (*.f64 -1/6 (/.f64 (-.f64 (+.f64 (*.f64 -3 (/.f64 (+.f64 1 (*.f64 1/2 (/.f64 (+.f64 1 (pow.f64 (/.f64 -1/2 (sqrt.f64 -1)) 2)) (pow.f64 (sqrt.f64 -1) 2)))) (pow.f64 (sqrt.f64 -1) 2))) (*.f64 -3/2 (/.f64 (+.f64 1 (pow.f64 (/.f64 -1/2 (sqrt.f64 -1)) 2)) (pow.f64 (sqrt.f64 -1) 4)))) (*.f64 1/4 (/.f64 1 (pow.f64 (sqrt.f64 -1) 6)))) (pow.f64 N 3))) (+.f64 (*.f64 1/2 (/.f64 1 (*.f64 N (pow.f64 (sqrt.f64 -1) 2)))) (*.f64 1/2 (/.f64 (-.f64 (*.f64 -1 (/.f64 (+.f64 1 (pow.f64 (/.f64 -1/2 (sqrt.f64 -1)) 2)) (pow.f64 (sqrt.f64 -1) 2))) (*.f64 1/4 (/.f64 1 (pow.f64 (sqrt.f64 -1) 4)))) (pow.f64 N 2))))))
1
(-.f64 1 (*.f64 1/2 (/.f64 1 N)))
(-.f64 (+.f64 1 (*.f64 3/8 (/.f64 1 (pow.f64 N 2)))) (*.f64 1/2 (/.f64 1 N)))
(-.f64 (+.f64 1 (*.f64 3/8 (/.f64 1 (pow.f64 N 2)))) (+.f64 (*.f64 5/16 (/.f64 1 (pow.f64 N 3))) (*.f64 1/2 (/.f64 1 N))))
(pow.f64 (sqrt.f64 -1) 2)
(+.f64 (*.f64 1/2 (/.f64 1 N)) (pow.f64 (sqrt.f64 -1) 2))
(+.f64 (*.f64 -1/2 (/.f64 (+.f64 1 (pow.f64 (/.f64 -1/2 (sqrt.f64 -1)) 2)) (pow.f64 N 2))) (+.f64 (*.f64 1/2 (/.f64 1 N)) (pow.f64 (sqrt.f64 -1) 2)))
(+.f64 (*.f64 -1/2 (/.f64 (+.f64 1 (pow.f64 (/.f64 -1/2 (sqrt.f64 -1)) 2)) (pow.f64 N 2))) (+.f64 (*.f64 1/2 (/.f64 1 N)) (+.f64 (*.f64 1/2 (/.f64 (+.f64 1 (*.f64 1/2 (/.f64 (+.f64 1 (pow.f64 (/.f64 -1/2 (sqrt.f64 -1)) 2)) (pow.f64 (sqrt.f64 -1) 2)))) (pow.f64 N 3))) (pow.f64 (sqrt.f64 -1) 2))))
(/.f64 -1/2 (pow.f64 N 2))
(-.f64 (/.f64 1 N) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (/.f64 1 N) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (/.f64 1 N) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(/.f64 1 N)
(-.f64 (/.f64 1 N) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (/.f64 1 N) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (/.f64 1 N) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(/.f64 1 N)
(-.f64 (/.f64 1 N) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (/.f64 1 N) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (/.f64 1 N) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(/.f64 1/3 (pow.f64 N 3))
(-.f64 (*.f64 1/3 (/.f64 1 (pow.f64 N 3))) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (+.f64 (/.f64 1 N) (*.f64 1/3 (/.f64 1 (pow.f64 N 3)))) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (+.f64 (/.f64 1 N) (*.f64 1/3 (/.f64 1 (pow.f64 N 3)))) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(/.f64 1 N)
(-.f64 (/.f64 1 N) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 N 3))) (/.f64 1 N)) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 N 3))) (/.f64 1 N)) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(/.f64 1 N)
(-.f64 (/.f64 1 N) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 N 3))) (/.f64 1 N)) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 N 3))) (/.f64 1 N)) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (exp.f64 (+.f64 (log.f64 1/3) (*.f64 -3 (log.f64 N)))) 1)
(-.f64 (+.f64 (exp.f64 (+.f64 (log.f64 1/3) (*.f64 -3 (log.f64 N)))) (*.f64 -3/2 (*.f64 N (exp.f64 (+.f64 (log.f64 1/3) (*.f64 -3 (log.f64 N))))))) 1)
(-.f64 (+.f64 (exp.f64 (+.f64 (log.f64 1/3) (*.f64 -3 (log.f64 N)))) (+.f64 (*.f64 -3/2 (*.f64 N (exp.f64 (+.f64 (log.f64 1/3) (*.f64 -3 (log.f64 N)))))) (*.f64 3 (*.f64 (pow.f64 N 2) (exp.f64 (+.f64 (log.f64 1/3) (*.f64 -3 (log.f64 N)))))))) 1)
(-.f64 (+.f64 (exp.f64 (+.f64 (log.f64 1/3) (*.f64 -3 (log.f64 N)))) (+.f64 (*.f64 -3/2 (*.f64 N (exp.f64 (+.f64 (log.f64 1/3) (*.f64 -3 (log.f64 N)))))) (+.f64 (*.f64 3 (*.f64 (pow.f64 N 2) (exp.f64 (+.f64 (log.f64 1/3) (*.f64 -3 (log.f64 N)))))) (*.f64 3 (*.f64 (pow.f64 N 3) (exp.f64 (+.f64 (log.f64 1/3) (*.f64 -3 (log.f64 N))))))))) 1)
(/.f64 1 N)
(-.f64 (/.f64 1 N) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 N 3))) (/.f64 1 N)) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
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(fma.f64 (pow.f64 (cbrt.f64 (log1p.f64 N)) 2) (cbrt.f64 (log1p.f64 N)) (neg.f64 (log.f64 N)))
(-.f64 (exp.f64 (log1p.f64 (cbrt.f64 (pow.f64 N -2)))) 1)
(*.f64 1 (cbrt.f64 (pow.f64 N -2)))
(*.f64 (pow.f64 N -1/2) (cbrt.f64 (pow.f64 N -1/2)))
(*.f64 (cbrt.f64 (pow.f64 N -1/2)) (*.f64 (cbrt.f64 (pow.f64 N -1/2)) (/.f64 1 (cbrt.f64 N))))
(*.f64 (/.f64 1 (cbrt.f64 N)) (/.f64 1 (cbrt.f64 N)))
(*.f64 (cbrt.f64 (pow.f64 N -2)) 1)
(*.f64 (cbrt.f64 (cbrt.f64 (pow.f64 N -2))) (cbrt.f64 (cbrt.f64 (pow.f64 N -4))))
(*.f64 (cbrt.f64 (cbrt.f64 (pow.f64 N -2))) (*.f64 (cbrt.f64 (/.f64 1 (cbrt.f64 N))) (/.f64 1 (cbrt.f64 N))))
(*.f64 (cbrt.f64 (cbrt.f64 (pow.f64 N -4))) (cbrt.f64 (cbrt.f64 (pow.f64 N -2))))
(*.f64 (*.f64 (/.f64 1 (cbrt.f64 N)) (cbrt.f64 (cbrt.f64 (pow.f64 N -2)))) (cbrt.f64 (/.f64 1 (cbrt.f64 N))))
(*.f64 (pow.f64 1 -2/3) (cbrt.f64 (pow.f64 N -2)))
(*.f64 (pow.f64 (sqrt.f64 N) -2/3) (pow.f64 (sqrt.f64 N) -2/3))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 N) 2) -2/3) (pow.f64 (cbrt.f64 N) -2/3))
(/.f64 1 (pow.f64 (cbrt.f64 N) 2))
(/.f64 (/.f64 1 (cbrt.f64 N)) (cbrt.f64 N))
(sqrt.f64 (cbrt.f64 (pow.f64 N -4)))
(log.f64 (exp.f64 (cbrt.f64 (pow.f64 N -2))))
(log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 (pow.f64 N -2)))))
(cbrt.f64 (pow.f64 N -2))
(expm1.f64 (log1p.f64 (cbrt.f64 (pow.f64 N -2))))
(exp.f64 (*.f64 -2/3 (log.f64 N)))
(log1p.f64 (expm1.f64 (cbrt.f64 (pow.f64 N -2))))
(-.f64 (/.f64 (pow.f64 (log1p.f64 N) 2) (+.f64 (log1p.f64 N) (*.f64 2/3 (log.f64 N)))) (/.f64 (pow.f64 (*.f64 -2/3 (log.f64 N)) 2) (+.f64 (log1p.f64 N) (*.f64 2/3 (log.f64 N)))))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 -2/3 (log.f64 N) (log1p.f64 N)))) 1)
(*.f64 1 (fma.f64 -2/3 (log.f64 N) (log1p.f64 N)))
(*.f64 (fma.f64 -2/3 (log.f64 N) (log1p.f64 N)) 1)
(*.f64 (-.f64 (pow.f64 (log1p.f64 N) 2) (pow.f64 (*.f64 -2/3 (log.f64 N)) 2)) (/.f64 1 (+.f64 (log1p.f64 N) (*.f64 2/3 (log.f64 N)))))
(*.f64 (+.f64 (pow.f64 (log1p.f64 N) 3) (*.f64 -8/27 (pow.f64 (log.f64 N) 3))) (/.f64 1 (+.f64 (pow.f64 (log1p.f64 N) 2) (*.f64 (*.f64 -2/3 (log.f64 N)) (-.f64 (*.f64 -2/3 (log.f64 N)) (log1p.f64 N))))))
(*.f64 (sqrt.f64 (fma.f64 -2/3 (log.f64 N) (log1p.f64 N))) (sqrt.f64 (fma.f64 -2/3 (log.f64 N) (log1p.f64 N))))
(*.f64 (cbrt.f64 (fma.f64 -2/3 (log.f64 N) (log1p.f64 N))) (cbrt.f64 (pow.f64 (fma.f64 -2/3 (log.f64 N) (log1p.f64 N)) 2)))
(*.f64 (cbrt.f64 (pow.f64 (fma.f64 -2/3 (log.f64 N) (log1p.f64 N)) 2)) (cbrt.f64 (fma.f64 -2/3 (log.f64 N) (log1p.f64 N))))
(/.f64 1 (/.f64 (+.f64 (log1p.f64 N) (*.f64 2/3 (log.f64 N))) (-.f64 (pow.f64 (log1p.f64 N) 2) (pow.f64 (*.f64 -2/3 (log.f64 N)) 2))))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (log1p.f64 N) 2) (*.f64 (*.f64 -2/3 (log.f64 N)) (-.f64 (*.f64 -2/3 (log.f64 N)) (log1p.f64 N)))) (+.f64 (pow.f64 (log1p.f64 N) 3) (*.f64 -8/27 (pow.f64 (log.f64 N) 3)))))
(/.f64 (-.f64 (pow.f64 (log1p.f64 N) 2) (pow.f64 (*.f64 -2/3 (log.f64 N)) 2)) (+.f64 (log1p.f64 N) (*.f64 2/3 (log.f64 N))))
(/.f64 (+.f64 (pow.f64 (log1p.f64 N) 3) (*.f64 -8/27 (pow.f64 (log.f64 N) 3))) (+.f64 (pow.f64 (log1p.f64 N) 2) (*.f64 (*.f64 -2/3 (log.f64 N)) (-.f64 (*.f64 -2/3 (log.f64 N)) (log1p.f64 N)))))
(/.f64 (+.f64 (pow.f64 (log1p.f64 N) 3) (*.f64 -8/27 (pow.f64 (log.f64 N) 3))) (+.f64 (pow.f64 (*.f64 -2/3 (log.f64 N)) 2) (-.f64 (pow.f64 (log1p.f64 N) 2) (*.f64 (log1p.f64 N) (*.f64 -2/3 (log.f64 N))))))
(/.f64 (-.f64 (pow.f64 (*.f64 -2/3 (log.f64 N)) 2) (pow.f64 (log1p.f64 N) 2)) (-.f64 (*.f64 -2/3 (log.f64 N)) (log1p.f64 N)))
(/.f64 (neg.f64 (-.f64 (pow.f64 (log1p.f64 N) 2) (pow.f64 (*.f64 -2/3 (log.f64 N)) 2))) (neg.f64 (+.f64 (log1p.f64 N) (*.f64 2/3 (log.f64 N)))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (log1p.f64 N) 3) (*.f64 -8/27 (pow.f64 (log.f64 N) 3)))) (neg.f64 (+.f64 (pow.f64 (log1p.f64 N) 2) (*.f64 (*.f64 -2/3 (log.f64 N)) (-.f64 (*.f64 -2/3 (log.f64 N)) (log1p.f64 N))))))
(pow.f64 (fma.f64 -2/3 (log.f64 N) (log1p.f64 N)) 1)
(pow.f64 (pow.f64 (fma.f64 -2/3 (log.f64 N) (log1p.f64 N)) 3) 1/3)
(pow.f64 (sqrt.f64 (fma.f64 -2/3 (log.f64 N) (log1p.f64 N))) 2)
(pow.f64 (cbrt.f64 (fma.f64 -2/3 (log.f64 N) (log1p.f64 N))) 3)
(sqrt.f64 (pow.f64 (fma.f64 -2/3 (log.f64 N) (log1p.f64 N)) 2))
(log.f64 (exp.f64 (fma.f64 -2/3 (log.f64 N) (log1p.f64 N))))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 -2/3 (log.f64 N) (log1p.f64 N)))))
(cbrt.f64 (pow.f64 (fma.f64 -2/3 (log.f64 N) (log1p.f64 N)) 3))
(expm1.f64 (log1p.f64 (fma.f64 -2/3 (log.f64 N) (log1p.f64 N))))
(exp.f64 (log.f64 (fma.f64 -2/3 (log.f64 N) (log1p.f64 N))))
(exp.f64 (*.f64 (log.f64 (fma.f64 -2/3 (log.f64 N) (log1p.f64 N))) 1))
(log1p.f64 (expm1.f64 (fma.f64 -2/3 (log.f64 N) (log1p.f64 N))))
(fma.f64 1 (log1p.f64 N) (*.f64 -2/3 (log.f64 N)))
(fma.f64 1 (*.f64 -2/3 (log.f64 N)) (log1p.f64 N))
(fma.f64 -2/3 (log.f64 N) (log1p.f64 N))
(fma.f64 (sqrt.f64 (*.f64 -2/3 (log.f64 N))) (sqrt.f64 (*.f64 -2/3 (log.f64 N))) (log1p.f64 N))
(fma.f64 (sqrt.f64 (log1p.f64 N)) (sqrt.f64 (log1p.f64 N)) (*.f64 -2/3 (log.f64 N)))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 -2/3 (log.f64 N))) 2) (cbrt.f64 (*.f64 -2/3 (log.f64 N))) (log1p.f64 N))
(fma.f64 (pow.f64 (cbrt.f64 (log1p.f64 N)) 2) (cbrt.f64 (log1p.f64 N)) (*.f64 -2/3 (log.f64 N)))
Outputs
(/.f64 -1/2 N)
(-.f64 (*.f64 1/4 (/.f64 1 (pow.f64 N 2))) (*.f64 1/2 (/.f64 1 N)))
(-.f64 (/.f64 1/4 (pow.f64 N 2)) (/.f64 1/2 N))
(+.f64 (/.f64 1/4 (pow.f64 N 2)) (/.f64 -1/2 N))
(-.f64 (*.f64 1/4 (/.f64 1 (pow.f64 N 2))) (+.f64 (*.f64 1/6 (/.f64 1 (pow.f64 N 3))) (*.f64 1/2 (/.f64 1 N))))
(-.f64 (/.f64 1/4 (pow.f64 N 2)) (+.f64 (/.f64 1/2 N) (/.f64 1/6 (pow.f64 N 3))))
(+.f64 (-.f64 (/.f64 1/4 (pow.f64 N 2)) (/.f64 1/6 (pow.f64 N 3))) (/.f64 -1/2 N))
(-.f64 (+.f64 (*.f64 1/8 (/.f64 1 (pow.f64 N 4))) (*.f64 1/4 (/.f64 1 (pow.f64 N 2)))) (+.f64 (*.f64 1/6 (/.f64 1 (pow.f64 N 3))) (*.f64 1/2 (/.f64 1 N))))
(+.f64 (/.f64 1/8 (pow.f64 N 4)) (-.f64 (/.f64 1/4 (pow.f64 N 2)) (+.f64 (/.f64 1/2 N) (/.f64 1/6 (pow.f64 N 3)))))
(+.f64 (/.f64 1/4 (pow.f64 N 2)) (-.f64 (/.f64 1/8 (pow.f64 N 4)) (+.f64 (/.f64 1/2 N) (/.f64 1/6 (pow.f64 N 3)))))
(log.f64 (pow.f64 (sqrt.f64 -1) 2))
(log.f64 -1)
(+.f64 (log.f64 (pow.f64 (sqrt.f64 -1) 2)) (*.f64 1/2 (/.f64 1 (*.f64 N (pow.f64 (sqrt.f64 -1) 2)))))
(+.f64 (log.f64 (pow.f64 (sqrt.f64 -1) 2)) (/.f64 1/2 (*.f64 N (pow.f64 (sqrt.f64 -1) 2))))
(+.f64 (log.f64 -1) (/.f64 -1/2 N))
(+.f64 (log.f64 (pow.f64 (sqrt.f64 -1) 2)) (+.f64 (*.f64 1/2 (/.f64 1 (*.f64 N (pow.f64 (sqrt.f64 -1) 2)))) (*.f64 1/2 (/.f64 (-.f64 (*.f64 -1 (/.f64 (+.f64 1 (pow.f64 (/.f64 -1/2 (sqrt.f64 -1)) 2)) (pow.f64 (sqrt.f64 -1) 2))) (*.f64 1/4 (/.f64 1 (pow.f64 (sqrt.f64 -1) 4)))) (pow.f64 N 2)))))
(+.f64 (log.f64 (pow.f64 (sqrt.f64 -1) 2)) (+.f64 (/.f64 1/2 (*.f64 N (pow.f64 (sqrt.f64 -1) 2))) (*.f64 1/2 (/.f64 (-.f64 (neg.f64 (/.f64 (+.f64 1 (pow.f64 (/.f64 -1/2 (sqrt.f64 -1)) 2)) (pow.f64 (sqrt.f64 -1) 2))) (/.f64 1/4 (pow.f64 (sqrt.f64 -1) 4))) (pow.f64 N 2)))))
(+.f64 (fma.f64 1/2 (/.f64 (fma.f64 -1 (/.f64 (+.f64 1 (pow.f64 (/.f64 -1/2 (sqrt.f64 -1)) 2)) -1) -1/4) (pow.f64 N 2)) (/.f64 -1/2 N)) (log.f64 -1))
(+.f64 (log.f64 (pow.f64 (sqrt.f64 -1) 2)) (+.f64 (*.f64 -1/6 (/.f64 (-.f64 (+.f64 (*.f64 -3 (/.f64 (+.f64 1 (*.f64 1/2 (/.f64 (+.f64 1 (pow.f64 (/.f64 -1/2 (sqrt.f64 -1)) 2)) (pow.f64 (sqrt.f64 -1) 2)))) (pow.f64 (sqrt.f64 -1) 2))) (*.f64 -3/2 (/.f64 (+.f64 1 (pow.f64 (/.f64 -1/2 (sqrt.f64 -1)) 2)) (pow.f64 (sqrt.f64 -1) 4)))) (*.f64 1/4 (/.f64 1 (pow.f64 (sqrt.f64 -1) 6)))) (pow.f64 N 3))) (+.f64 (*.f64 1/2 (/.f64 1 (*.f64 N (pow.f64 (sqrt.f64 -1) 2)))) (*.f64 1/2 (/.f64 (-.f64 (*.f64 -1 (/.f64 (+.f64 1 (pow.f64 (/.f64 -1/2 (sqrt.f64 -1)) 2)) (pow.f64 (sqrt.f64 -1) 2))) (*.f64 1/4 (/.f64 1 (pow.f64 (sqrt.f64 -1) 4)))) (pow.f64 N 2))))))
(+.f64 (log.f64 (pow.f64 (sqrt.f64 -1) 2)) (fma.f64 -1/6 (/.f64 (-.f64 (fma.f64 -3 (/.f64 (+.f64 1 (*.f64 1/2 (/.f64 (+.f64 1 (pow.f64 (/.f64 -1/2 (sqrt.f64 -1)) 2)) (pow.f64 (sqrt.f64 -1) 2)))) (pow.f64 (sqrt.f64 -1) 2)) (*.f64 -3/2 (/.f64 (+.f64 1 (pow.f64 (/.f64 -1/2 (sqrt.f64 -1)) 2)) (pow.f64 (sqrt.f64 -1) 4)))) (/.f64 1/4 (pow.f64 (sqrt.f64 -1) 6))) (pow.f64 N 3)) (+.f64 (/.f64 1/2 (*.f64 N (pow.f64 (sqrt.f64 -1) 2))) (*.f64 1/2 (/.f64 (-.f64 (neg.f64 (/.f64 (+.f64 1 (pow.f64 (/.f64 -1/2 (sqrt.f64 -1)) 2)) (pow.f64 (sqrt.f64 -1) 2))) (/.f64 1/4 (pow.f64 (sqrt.f64 -1) 4))) (pow.f64 N 2))))))
(+.f64 (fma.f64 -1/6 (/.f64 (+.f64 (fma.f64 -3 (/.f64 (fma.f64 1/2 (/.f64 (+.f64 1 (pow.f64 (/.f64 -1/2 (sqrt.f64 -1)) 2)) -1) 1) -1) (/.f64 -3/2 (/.f64 1 (+.f64 1 (pow.f64 (/.f64 -1/2 (sqrt.f64 -1)) 2))))) (/.f64 -1/4 (pow.f64 (sqrt.f64 -1) 6))) (pow.f64 N 3)) (fma.f64 1/2 (/.f64 (fma.f64 -1 (/.f64 (+.f64 1 (pow.f64 (/.f64 -1/2 (sqrt.f64 -1)) 2)) -1) -1/4) (pow.f64 N 2)) (/.f64 -1/2 N))) (log.f64 -1))
1
(-.f64 1 (*.f64 1/2 (/.f64 1 N)))
(-.f64 1 (/.f64 1/2 N))
(+.f64 1 (/.f64 -1/2 N))
(-.f64 (+.f64 1 (*.f64 3/8 (/.f64 1 (pow.f64 N 2)))) (*.f64 1/2 (/.f64 1 N)))
(+.f64 1 (-.f64 (/.f64 3/8 (pow.f64 N 2)) (/.f64 1/2 N)))
(+.f64 1 (+.f64 (/.f64 3/8 (pow.f64 N 2)) (/.f64 -1/2 N)))
(-.f64 (+.f64 1 (*.f64 3/8 (/.f64 1 (pow.f64 N 2)))) (+.f64 (*.f64 5/16 (/.f64 1 (pow.f64 N 3))) (*.f64 1/2 (/.f64 1 N))))
(+.f64 1 (-.f64 (/.f64 3/8 (pow.f64 N 2)) (+.f64 (/.f64 1/2 N) (/.f64 5/16 (pow.f64 N 3)))))
(pow.f64 (sqrt.f64 -1) 2)
-1
(+.f64 (*.f64 1/2 (/.f64 1 N)) (pow.f64 (sqrt.f64 -1) 2))
(+.f64 (/.f64 1/2 N) (pow.f64 (sqrt.f64 -1) 2))
(+.f64 (/.f64 1/2 N) -1)
(+.f64 (*.f64 -1/2 (/.f64 (+.f64 1 (pow.f64 (/.f64 -1/2 (sqrt.f64 -1)) 2)) (pow.f64 N 2))) (+.f64 (*.f64 1/2 (/.f64 1 N)) (pow.f64 (sqrt.f64 -1) 2)))
(fma.f64 -1/2 (/.f64 (+.f64 1 (pow.f64 (/.f64 -1/2 (sqrt.f64 -1)) 2)) (pow.f64 N 2)) (+.f64 (/.f64 1/2 N) (pow.f64 (sqrt.f64 -1) 2)))
(+.f64 -1 (fma.f64 -1/2 (/.f64 (+.f64 1 (pow.f64 (/.f64 -1/2 (sqrt.f64 -1)) 2)) (pow.f64 N 2)) (/.f64 1/2 N)))
(+.f64 (*.f64 -1/2 (/.f64 (+.f64 1 (pow.f64 (/.f64 -1/2 (sqrt.f64 -1)) 2)) (pow.f64 N 2))) (+.f64 (*.f64 1/2 (/.f64 1 N)) (+.f64 (*.f64 1/2 (/.f64 (+.f64 1 (*.f64 1/2 (/.f64 (+.f64 1 (pow.f64 (/.f64 -1/2 (sqrt.f64 -1)) 2)) (pow.f64 (sqrt.f64 -1) 2)))) (pow.f64 N 3))) (pow.f64 (sqrt.f64 -1) 2))))
(fma.f64 -1/2 (/.f64 (+.f64 1 (pow.f64 (/.f64 -1/2 (sqrt.f64 -1)) 2)) (pow.f64 N 2)) (+.f64 (/.f64 1/2 N) (fma.f64 1/2 (/.f64 (+.f64 1 (*.f64 1/2 (/.f64 (+.f64 1 (pow.f64 (/.f64 -1/2 (sqrt.f64 -1)) 2)) (pow.f64 (sqrt.f64 -1) 2)))) (pow.f64 N 3)) (pow.f64 (sqrt.f64 -1) 2))))
(+.f64 (fma.f64 1/2 (/.f64 (fma.f64 1/2 (/.f64 (+.f64 1 (pow.f64 (/.f64 -1/2 (sqrt.f64 -1)) 2)) -1) 1) (pow.f64 N 3)) -1) (fma.f64 -1/2 (/.f64 (+.f64 1 (pow.f64 (/.f64 -1/2 (sqrt.f64 -1)) 2)) (pow.f64 N 2)) (/.f64 1/2 N)))
(/.f64 -1/2 (pow.f64 N 2))
(-.f64 (/.f64 1 N) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (/.f64 1 N) (/.f64 1/2 (pow.f64 N 2)))
(+.f64 (/.f64 1 N) (/.f64 -1/2 (pow.f64 N 2)))
(-.f64 (/.f64 1 N) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (/.f64 1 N) (/.f64 1/2 (pow.f64 N 2)))
(+.f64 (/.f64 1 N) (/.f64 -1/2 (pow.f64 N 2)))
(-.f64 (/.f64 1 N) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (/.f64 1 N) (/.f64 1/2 (pow.f64 N 2)))
(+.f64 (/.f64 1 N) (/.f64 -1/2 (pow.f64 N 2)))
(/.f64 1 N)
(-.f64 (/.f64 1 N) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (/.f64 1 N) (/.f64 1/2 (pow.f64 N 2)))
(+.f64 (/.f64 1 N) (/.f64 -1/2 (pow.f64 N 2)))
(-.f64 (/.f64 1 N) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (/.f64 1 N) (/.f64 1/2 (pow.f64 N 2)))
(+.f64 (/.f64 1 N) (/.f64 -1/2 (pow.f64 N 2)))
(-.f64 (/.f64 1 N) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (/.f64 1 N) (/.f64 1/2 (pow.f64 N 2)))
(+.f64 (/.f64 1 N) (/.f64 -1/2 (pow.f64 N 2)))
(/.f64 1 N)
(-.f64 (/.f64 1 N) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (/.f64 1 N) (/.f64 1/2 (pow.f64 N 2)))
(+.f64 (/.f64 1 N) (/.f64 -1/2 (pow.f64 N 2)))
(-.f64 (/.f64 1 N) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (/.f64 1 N) (/.f64 1/2 (pow.f64 N 2)))
(+.f64 (/.f64 1 N) (/.f64 -1/2 (pow.f64 N 2)))
(-.f64 (/.f64 1 N) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (/.f64 1 N) (/.f64 1/2 (pow.f64 N 2)))
(+.f64 (/.f64 1 N) (/.f64 -1/2 (pow.f64 N 2)))
(/.f64 1/3 (pow.f64 N 3))
(-.f64 (*.f64 1/3 (/.f64 1 (pow.f64 N 3))) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 1/2 (pow.f64 N 2)))
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 -1/2 (pow.f64 N 2)))
(-.f64 (+.f64 (/.f64 1 N) (*.f64 1/3 (/.f64 1 (pow.f64 N 3)))) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(+.f64 (/.f64 1 N) (-.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 1/2 (pow.f64 N 2))))
(+.f64 (/.f64 1 N) (+.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 -1/2 (pow.f64 N 2))))
(-.f64 (+.f64 (/.f64 1 N) (*.f64 1/3 (/.f64 1 (pow.f64 N 3)))) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(+.f64 (/.f64 1 N) (-.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 1/2 (pow.f64 N 2))))
(+.f64 (/.f64 1 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 1 N) (/.f64 1/2 (pow.f64 N 2)))
(+.f64 (/.f64 1 N) (/.f64 -1/2 (pow.f64 N 2)))
(-.f64 (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 N 3))) (/.f64 1 N)) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(+.f64 (/.f64 1 N) (-.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 1/2 (pow.f64 N 2))))
(+.f64 (/.f64 1 N) (+.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 -1/2 (pow.f64 N 2))))
(-.f64 (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 N 3))) (/.f64 1 N)) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(+.f64 (/.f64 1 N) (-.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 1/2 (pow.f64 N 2))))
(+.f64 (/.f64 1 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 1 N) (/.f64 1/2 (pow.f64 N 2)))
(+.f64 (/.f64 1 N) (/.f64 -1/2 (pow.f64 N 2)))
(-.f64 (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 N 3))) (/.f64 1 N)) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(+.f64 (/.f64 1 N) (-.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 1/2 (pow.f64 N 2))))
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(exp.f64 (log.f64 (fma.f64 -2/3 (log.f64 N) (log1p.f64 N))))
(fma.f64 -2/3 (log.f64 N) (log1p.f64 N))
(fma.f64 (log.f64 N) -2/3 (log1p.f64 N))
(exp.f64 (*.f64 (log.f64 (fma.f64 -2/3 (log.f64 N) (log1p.f64 N))) 1))
(fma.f64 -2/3 (log.f64 N) (log1p.f64 N))
(fma.f64 (log.f64 N) -2/3 (log1p.f64 N))
(log1p.f64 (expm1.f64 (fma.f64 -2/3 (log.f64 N) (log1p.f64 N))))
(fma.f64 -2/3 (log.f64 N) (log1p.f64 N))
(fma.f64 (log.f64 N) -2/3 (log1p.f64 N))
(fma.f64 1 (log1p.f64 N) (*.f64 -2/3 (log.f64 N)))
(fma.f64 -2/3 (log.f64 N) (log1p.f64 N))
(fma.f64 (log.f64 N) -2/3 (log1p.f64 N))
(fma.f64 1 (*.f64 -2/3 (log.f64 N)) (log1p.f64 N))
(fma.f64 -2/3 (log.f64 N) (log1p.f64 N))
(fma.f64 (log.f64 N) -2/3 (log1p.f64 N))
(fma.f64 -2/3 (log.f64 N) (log1p.f64 N))
(fma.f64 (log.f64 N) -2/3 (log1p.f64 N))
(fma.f64 (sqrt.f64 (*.f64 -2/3 (log.f64 N))) (sqrt.f64 (*.f64 -2/3 (log.f64 N))) (log1p.f64 N))
(fma.f64 -2/3 (log.f64 N) (log1p.f64 N))
(fma.f64 (log.f64 N) -2/3 (log1p.f64 N))
(fma.f64 (sqrt.f64 (log1p.f64 N)) (sqrt.f64 (log1p.f64 N)) (*.f64 -2/3 (log.f64 N)))
(fma.f64 -2/3 (log.f64 N) (log1p.f64 N))
(fma.f64 (log.f64 N) -2/3 (log1p.f64 N))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 -2/3 (log.f64 N))) 2) (cbrt.f64 (*.f64 -2/3 (log.f64 N))) (log1p.f64 N))
(fma.f64 -2/3 (log.f64 N) (log1p.f64 N))
(fma.f64 (log.f64 N) -2/3 (log1p.f64 N))
(fma.f64 (pow.f64 (cbrt.f64 (log1p.f64 N)) 2) (cbrt.f64 (log1p.f64 N)) (*.f64 -2/3 (log.f64 N)))
(fma.f64 -2/3 (log.f64 N) (log1p.f64 N))
(fma.f64 (log.f64 N) -2/3 (log1p.f64 N))

eval638.0ms (5.7%)

Compiler

Compiled 18202 to 13848 computations (23.9% saved)

prune150.0ms (1.3%)

Pruning

22 alts after pruning (11 fresh and 11 done)

PrunedKeptTotal
New8723875
Fresh088
Picked235
Done088
Total87422896
Accuracy
100.0%
Counts
896 → 22
Alt Table
Click to see full alt table
StatusAccuracyProgram
53.2%
(pow.f64 (pow.f64 (/.f64 (*.f64 (-.f64 (pow.f64 (log1p.f64 N) 4) (pow.f64 (log.f64 N) 4)) (/.f64 1 (+.f64 (log1p.f64 N) (log.f64 N)))) (+.f64 (pow.f64 (log1p.f64 N) 2) (pow.f64 (log.f64 N) 2))) 3) 1/3)
✓53.2%
(pow.f64 (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 3) 1/3)
18.7%
(pow.f64 (pow.f64 (+.f64 (/.f64 1 N) (-.f64 (/.f64 1/3 (pow.f64 N 3)) (+.f64 (/.f64 1/2 (pow.f64 N 2)) (/.f64 1/4 (pow.f64 N 4))))) 3) 1/3)
✓54.0%
(pow.f64 (sqrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))) 2)
54.0%
(pow.f64 (log.f64 (exp.f64 (sqrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))))) 2)
54.2%
(/.f64 (-.f64 (pow.f64 (log1p.f64 N) 4) (pow.f64 (log.f64 N) 4)) (*.f64 (+.f64 (log1p.f64 N) (log.f64 N)) (+.f64 (pow.f64 (log1p.f64 N) 2) (pow.f64 (log.f64 N) 2))))
✓51.5%
(/.f64 1 N)
✓49.6%
(-.f64 (/.f64 1 N) (/.f64 1/2 (pow.f64 N 2)))
4.5%
(-.f64 (+.f64 (*.f64 (pow.f64 N -3) (fma.f64 N (+.f64 N -1/2) 1/3)) 1) 1)
6.3%
(-.f64 (+.f64 1 (/.f64 1 N)) 1)
✓54.3%
(-.f64 (log1p.f64 N) (log.f64 N))
✓51.5%
(-.f64 N (log.f64 N))
49.9%
(+.f64 (/.f64 1 N) (-.f64 (/.f64 1/3 (pow.f64 N 3)) (+.f64 (/.f64 1/2 (pow.f64 N 2)) (/.f64 1/4 (pow.f64 N 4)))))
✓27.9%
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (*.f64 (+.f64 N -1/2) (pow.f64 N -2)))
19.5%
(*.f64 (pow.f64 N -3) (+.f64 (*.f64 N (+.f64 N -1/2)) 1/3))
54.4%
(neg.f64 (*.f64 2 (+.f64 (log.f64 (pow.f64 (/.f64 N (+.f64 N 1)) 1/4)) (log.f64 (pow.f64 (/.f64 N (+.f64 N 1)) 1/4)))))
✓54.5%
(neg.f64 (*.f64 2 (log.f64 (sqrt.f64 (/.f64 N (+.f64 N 1))))))
✓54.5%
(neg.f64 (log.f64 (/.f64 N (+.f64 N 1))))
✓49.9%
(neg.f64 (log.f64 N))
✓54.4%
(log.f64 (/.f64 (+.f64 N 1) N))
18.6%
(exp.f64 (log.f64 (*.f64 (pow.f64 N -3) (+.f64 (*.f64 N (+.f64 N -1/2)) 1/3))))
4.8%
N
Compiler

Compiled 641 to 458 computations (28.5% saved)

regimes58.0ms (0.5%)

Counts
29 → 2
Calls
Call 1
Inputs
N
(/.f64 1 N)
(-.f64 (+.f64 1 (/.f64 1 N)) 1)
(neg.f64 (log.f64 N))
(-.f64 N (log.f64 N))
(log.f64 (/.f64 (+.f64 N 1) N))
(neg.f64 (log.f64 (/.f64 N (+.f64 N 1))))
(-.f64 (/.f64 1 N) (/.f64 1/2 (pow.f64 N 2)))
(*.f64 (pow.f64 N -3) (+.f64 (*.f64 N (+.f64 N -1/2)) 1/3))
(-.f64 (log1p.f64 N) (log.f64 N))
(-.f64 (log.f64 (+.f64 N 1)) (log.f64 N))
(neg.f64 (*.f64 2 (log.f64 (sqrt.f64 (/.f64 N (+.f64 N 1))))))
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (*.f64 (+.f64 N -1/2) (pow.f64 N -2)))
(-.f64 (+.f64 (*.f64 (pow.f64 N -3) (fma.f64 N (+.f64 N -1/2) 1/3)) 1) 1)
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (-.f64 (/.f64 1 N) (/.f64 1/2 (pow.f64 N 2))))
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 (*.f64 N (-.f64 N 1/2)) (pow.f64 N 3)))
(exp.f64 (log.f64 (*.f64 (pow.f64 N -3) (+.f64 (*.f64 N (+.f64 N -1/2)) 1/3))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (pow.f64 N -3) (+.f64 (*.f64 N (+.f64 N -1/2)) 1/3)))) 1)
(+.f64 (/.f64 1 N) (-.f64 (/.f64 1/3 (pow.f64 N 3)) (+.f64 (/.f64 1/2 (pow.f64 N 2)) (/.f64 1/4 (pow.f64 N 4)))))
(pow.f64 (sqrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))) 2)
(pow.f64 (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 3) 1/3)
(neg.f64 (*.f64 2 (+.f64 (log.f64 (pow.f64 (/.f64 N (+.f64 N 1)) 1/4)) (log.f64 (pow.f64 (/.f64 N (+.f64 N 1)) 1/4)))))
(+.f64 (+.f64 (log1p.f64 N) (log.f64 (pow.f64 N -2/3))) (log.f64 (cbrt.f64 (/.f64 1 N))))
(pow.f64 (pow.f64 (+.f64 (/.f64 1 N) (-.f64 (/.f64 1/3 (pow.f64 N 3)) (+.f64 (/.f64 1/2 (pow.f64 N 2)) (/.f64 1/4 (pow.f64 N 4))))) 3) 1/3)
(pow.f64 (log.f64 (exp.f64 (sqrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))))) 2)
(+.f64 (+.f64 (log1p.f64 N) (log.f64 (cbrt.f64 (pow.f64 N -2)))) (log.f64 (cbrt.f64 (/.f64 1 N))))
(/.f64 (-.f64 (pow.f64 (log1p.f64 N) 4) (pow.f64 (log.f64 N) 4)) (*.f64 (+.f64 (log1p.f64 N) (log.f64 N)) (+.f64 (pow.f64 (log1p.f64 N) 2) (pow.f64 (log.f64 N) 2))))
(*.f64 (/.f64 (sqrt.f64 (-.f64 (pow.f64 (log1p.f64 N) 2) (pow.f64 (log.f64 N) 2))) 1) (/.f64 (sqrt.f64 (-.f64 (pow.f64 (log1p.f64 N) 2) (pow.f64 (log.f64 N) 2))) (+.f64 (log1p.f64 N) (log.f64 N))))
(pow.f64 (pow.f64 (/.f64 (*.f64 (-.f64 (pow.f64 (log1p.f64 N) 4) (pow.f64 (log.f64 N) 4)) (/.f64 1 (+.f64 (log1p.f64 N) (log.f64 N)))) (+.f64 (pow.f64 (log1p.f64 N) 2) (pow.f64 (log.f64 N) 2))) 3) 1/3)
Outputs
(+.f64 (/.f64 1 N) (-.f64 (/.f64 1/3 (pow.f64 N 3)) (+.f64 (/.f64 1/2 (pow.f64 N 2)) (/.f64 1/4 (pow.f64 N 4)))))
(-.f64 (log1p.f64 N) (log.f64 N))
Calls

2 calls:

35.0ms
N
13.0ms
(-.f64 (log.f64 (+.f64 N 1)) (log.f64 N))
Results
AccuracySegmentsBranch
99.9%2N
99.9%2(-.f64 (log.f64 (+.f64 N 1)) (log.f64 N))
Compiler

Compiled 374 to 254 computations (32.1% saved)

regimes41.0ms (0.4%)

Counts
18 → 2
Calls
Call 1
Inputs
N
(/.f64 1 N)
(-.f64 (+.f64 1 (/.f64 1 N)) 1)
(neg.f64 (log.f64 N))
(-.f64 N (log.f64 N))
(log.f64 (/.f64 (+.f64 N 1) N))
(neg.f64 (log.f64 (/.f64 N (+.f64 N 1))))
(-.f64 (/.f64 1 N) (/.f64 1/2 (pow.f64 N 2)))
(*.f64 (pow.f64 N -3) (+.f64 (*.f64 N (+.f64 N -1/2)) 1/3))
(-.f64 (log1p.f64 N) (log.f64 N))
(-.f64 (log.f64 (+.f64 N 1)) (log.f64 N))
(neg.f64 (*.f64 2 (log.f64 (sqrt.f64 (/.f64 N (+.f64 N 1))))))
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (*.f64 (+.f64 N -1/2) (pow.f64 N -2)))
(-.f64 (+.f64 (*.f64 (pow.f64 N -3) (fma.f64 N (+.f64 N -1/2) 1/3)) 1) 1)
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (-.f64 (/.f64 1 N) (/.f64 1/2 (pow.f64 N 2))))
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 (*.f64 N (-.f64 N 1/2)) (pow.f64 N 3)))
(exp.f64 (log.f64 (*.f64 (pow.f64 N -3) (+.f64 (*.f64 N (+.f64 N -1/2)) 1/3))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (pow.f64 N -3) (+.f64 (*.f64 N (+.f64 N -1/2)) 1/3)))) 1)
Outputs
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (-.f64 (/.f64 1 N) (/.f64 1/2 (pow.f64 N 2))))
(neg.f64 (log.f64 (/.f64 N (+.f64 N 1))))
Calls

2 calls:

25.0ms
N
11.0ms
(-.f64 (log.f64 (+.f64 N 1)) (log.f64 N))
Results
AccuracySegmentsBranch
99.8%2N
99.8%2(-.f64 (log.f64 (+.f64 N 1)) (log.f64 N))
Compiler

Compiled 169 to 123 computations (27.2% saved)

regimes32.0ms (0.3%)

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

2 calls:

17.0ms
N
7.0ms
(-.f64 (log.f64 (+.f64 N 1)) (log.f64 N))
Results
AccuracySegmentsBranch
99.8%2N
99.8%2(-.f64 (log.f64 (+.f64 N 1)) (log.f64 N))
Compiler

Compiled 111 to 78 computations (29.7% saved)

regimes15.0ms (0.1%)

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

1 calls:

14.0ms
N
Results
AccuracySegmentsBranch
99.7%2N
Compiler

Compiled 34 to 22 computations (35.3% saved)

regimes11.0ms (0.1%)

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

1 calls:

10.0ms
N
Results
AccuracySegmentsBranch
99.6%2N
Compiler

Compiled 27 to 17 computations (37% saved)

regimes11.0ms (0.1%)

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

1 calls:

10.0ms
N
Results
AccuracySegmentsBranch
98.1%2N
Compiler

Compiled 21 to 13 computations (38.1% saved)

regimes9.0ms (0.1%)

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

1 calls:

8.0ms
N
Results
AccuracySegmentsBranch
97.4%2N
Compiler

Compiled 17 to 12 computations (29.4% saved)

regimes6.0ms (0.1%)

Counts
3 → 1
Calls
Call 1
Inputs
N
(/.f64 1 N)
(-.f64 (+.f64 1 (/.f64 1 N)) 1)
Outputs
(/.f64 1 N)
Calls

1 calls:

4.0ms
N
Results
AccuracySegmentsBranch
51.5%1N
Compiler

Compiled 14 to 10 computations (28.6% saved)

regimes3.0ms (0%)

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts
1 → 1
Calls
Call 1
Inputs
N
Outputs
N
Calls

1 calls:

3.0ms
N
Results
AccuracySegmentsBranch
4.8%1N
Compiler

Compiled 4 to 2 computations (50% saved)

bsearch0.0ms (0%)

Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
0.0001856215992184218
0.0014668602142018372
Compiler

Compiled 12 to 9 computations (25% saved)

bsearch0.0ms (0%)

Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
4.393698886140385e-5
0.00012747571159898996
Compiler

Compiled 12 to 9 computations (25% saved)

bsearch0.0ms (0%)

Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
8.526512829121202e-14
4.393698886140385e-5
Compiler

Compiled 12 to 9 computations (25% saved)

bsearch25.0ms (0.2%)

Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
25.0ms
22759.366482938123
11536791544223.152
Results
23.0ms144×body256valid
Compiler

Compiled 138 to 108 computations (21.7% saved)

bsearch18.0ms (0.2%)

Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
18.0ms
22759.366482938123
11536791544223.152
Results
16.0ms144×body256valid
Compiler

Compiled 129 to 99 computations (23.3% saved)

bsearch16.0ms (0.1%)

Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
16.0ms
0.8308069604868148
3.63579866665488
Results
15.0ms96×body256valid
Compiler

Compiled 78 to 57 computations (26.9% saved)

bsearch20.0ms (0.2%)

Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
20.0ms
7.339588431855629e-5
0.8308069604868148
Results
18.0ms128×body256valid
Compiler

Compiled 92 to 73 computations (20.7% saved)

simplify17.0ms (0.1%)

Algorithm
1×egg-herbie
Rules
16×+-commutative
12×sub-neg
7×neg-mul-1
7×*-commutative
7×neg-sub0
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
061517
182517
2100517
3114517
4122517
5126517
6127517
Stop Event
1×fuel
1×saturated
Calls
Call 1
Inputs
(if (<=.f64 (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N)) 7378697629483821/36893488147419103232) (+.f64 (/.f64 1 N) (-.f64 (/.f64 1/3 (pow.f64 N 3)) (+.f64 (/.f64 1/2 (pow.f64 N 2)) (/.f64 1/4 (pow.f64 N 4))))) (-.f64 (log1p.f64 N) (log.f64 N)))
(if (<=.f64 (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N)) 7378697629483821/147573952589676412928) (+.f64 (/.f64 1/3 (pow.f64 N 3)) (-.f64 (/.f64 1 N) (/.f64 1/2 (pow.f64 N 2)))) (neg.f64 (log.f64 (/.f64 N (+.f64 N 1)))))
(if (<=.f64 (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N)) 3961408125713217/39614081257132168796771975168) (-.f64 (/.f64 1 N) (/.f64 1/2 (pow.f64 N 2))) (neg.f64 (log.f64 (/.f64 N (+.f64 N 1)))))
(if (<=.f64 N 105000000) (neg.f64 (log.f64 (/.f64 N (+.f64 N 1)))) (/.f64 1 N))
(if (<=.f64 N 110000000) (log.f64 (/.f64 (+.f64 N 1) N)) (/.f64 1 N))
(if (<=.f64 N 1) (-.f64 N (log.f64 N)) (/.f64 1 N))
(if (<=.f64 N 1170935903116329/2251799813685248) (neg.f64 (log.f64 N)) (/.f64 1 N))
(/.f64 1 N)
N
Outputs
(if (<=.f64 (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N)) 7378697629483821/36893488147419103232) (+.f64 (/.f64 1 N) (-.f64 (/.f64 1/3 (pow.f64 N 3)) (+.f64 (/.f64 1/2 (pow.f64 N 2)) (/.f64 1/4 (pow.f64 N 4))))) (-.f64 (log1p.f64 N) (log.f64 N)))
(if (<=.f64 (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N)) 7378697629483821/147573952589676412928) (+.f64 (/.f64 1/3 (pow.f64 N 3)) (-.f64 (/.f64 1 N) (/.f64 1/2 (pow.f64 N 2)))) (neg.f64 (log.f64 (/.f64 N (+.f64 N 1)))))
(if (<=.f64 (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N)) 3961408125713217/39614081257132168796771975168) (-.f64 (/.f64 1 N) (/.f64 1/2 (pow.f64 N 2))) (neg.f64 (log.f64 (/.f64 N (+.f64 N 1)))))
(if (<=.f64 N 105000000) (neg.f64 (log.f64 (/.f64 N (+.f64 N 1)))) (/.f64 1 N))
(if (<=.f64 N 110000000) (log.f64 (/.f64 (+.f64 N 1) N)) (/.f64 1 N))
(if (<=.f64 N 1) (-.f64 N (log.f64 N)) (/.f64 1 N))
(if (<=.f64 N 1170935903116329/2251799813685248) (neg.f64 (log.f64 N)) (/.f64 1 N))
(/.f64 1 N)
N
Compiler

Compiled 155 to 116 computations (25.2% saved)

soundness2.2s (19.9%)

Rules
3682×fma-def
897×associate-/l*
599×associate-*l*
593×+-commutative
588×associate-*r*
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01689
13071
24871
38071
414771
524971
653469
7111369
8201969
9334769
10370769
11373869
12376269
13376269
14585269
15652869
16688069
17688069
18740069
19758269
20772369
21777969
052714283
1163413709
2768913709
052714283
1163413709
2768913709
052714283
1163413709
2768913709
0921
19221
2117621
027218
1439214
25862214
0118540281
1303839680
052714283
1163413709
2768913709
052714283
1163413709
2768913709
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 535 to 415 computations (22.4% saved)

end0.0ms (0%)

preprocess156.0ms (1.4%)

Compiler

Compiled 310 to 220 computations (29% saved)

Profiling

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