2log (problem 3.3.6)

Time bar (total: 8.9s)

analyze0.0ms (0%)

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

Compiled 15 to 11 computations (26.7% saved)

sample1.0s (11.6%)

Results
1.0s8256×256valid
Bogosity

preprocess413.0ms (4.6%)

Algorithm
1×egg-herbie
Rules
2592×fma-def
986×distribute-rgt-in
952×distribute-lft-in
842×fma-neg
768×associate-+r+
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
2432(54.47114347777237)2(28.09329631862006)(-.f64 (log.f64 (+.f64 N 1)) (log.f64 N))
00-0-1
00-0-(log.f64 N)
00-0-(log.f64 (+.f64 N 1))
00-0-(+.f64 N 1)
00-0-N
Iterations

Useful iterations: 6 (0.0ms)

IterNodesCost
017128
133104
265100
3125100
4272100
5525100
680096
7128696
8203596
9345096
10412396
11415196
12417596
13417596
14624996
15668696
16703896
17703896
18744096
19797596
Stop Event
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)))
(neg.f64 (-.f64 (log.f64 (+.f64 (neg.f64 N) 1)) (log.f64 (neg.f64 N))))
Outputs
(-.f64 (log.f64 (+.f64 N 1)) (log.f64 N))
(-.f64 (log1p.f64 N) (log.f64 N))
(-.f64 (log.f64 (+.f64 N 1)) (log.f64 N))
(-.f64 (log1p.f64 N) (log.f64 N))
(-.f64 (log.f64 (+.f64 (neg.f64 N) 1)) (log.f64 (neg.f64 N)))
(-.f64 (log.f64 (+.f64 1 (neg.f64 N))) (log.f64 (neg.f64 N)))
(-.f64 (log1p.f64 (neg.f64 N)) (log.f64 (neg.f64 N)))
(-.f64 (log.f64 (+.f64 N -1)) (log.f64 N))
(neg.f64 (-.f64 (log.f64 (+.f64 (neg.f64 N) 1)) (log.f64 (neg.f64 N))))
(neg.f64 (-.f64 (log.f64 (+.f64 1 (neg.f64 N))) (log.f64 (neg.f64 N))))
(neg.f64 (-.f64 (log1p.f64 (neg.f64 N)) (log.f64 (neg.f64 N))))
(-.f64 (log.f64 (neg.f64 N)) (log1p.f64 (neg.f64 N)))
(-.f64 (log.f64 N) (log.f64 (+.f64 N -1)))
Compiler

Compiled 48 to 32 computations (33.3% saved)

eval0.0ms (0%)

Compiler

Compiled 6 to 4 computations (33.3% saved)

prune1.0ms (0%)

Alt Table
Click to see full alt table
StatusAccuracyProgram
▶23.6%
(-.f64 (log1p.f64 N) (log.f64 N))
▶23.6%
(-.f64 (log.f64 (+.f64 N 1)) (log.f64 N))
Compiler

Compiled 14 to 10 computations (28.6% saved)

localize62.0ms (0.7%)

Localize:

Found 4 expressions with local error:

NewAccuracyProgram
✓100.0%
(log1p.f64 N)
✓23.6%
(-.f64 (log1p.f64 N) (log.f64 N))
✓100.0%
(log.f64 (+.f64 N 1))
✓23.6%
(-.f64 (log.f64 (+.f64 N 1)) (log.f64 N))
Compiler

Compiled 30 to 15 computations (50% saved)

series3.0ms (0%)

Counts
4 → 48
Calls

12 calls:

TimeVariablePointExpression
1.0ms
N
@-inf
(-.f64 (log.f64 (+.f64 N 1)) (log.f64 N))
1.0ms
N
@inf
(-.f64 (log.f64 (+.f64 N 1)) (log.f64 N))
0.0ms
N
@0
(-.f64 (log.f64 (+.f64 N 1)) (log.f64 N))
0.0ms
N
@-inf
(log.f64 (+.f64 N 1))
0.0ms
N
@-inf
(-.f64 (log1p.f64 N) (log.f64 N))

rewrite295.0ms (3.3%)

Algorithm
1×batch-egg-rewrite
Rules
862×prod-diff
846×unpow-prod-down
627×log1p-expm1-u
627×expm1-log1p-u
558×fma-def
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01358
118158
2175958
Stop Event
1×node limit
Counts
4 → 340
Calls
Call 1
Inputs
(-.f64 (log.f64 (+.f64 N 1)) (log.f64 N))
(log.f64 (+.f64 N 1))
(-.f64 (log1p.f64 N) (log.f64 N))
(log1p.f64 N)
Outputs
(+.f64 (log1p.f64 N) (neg.f64 (log.f64 N)))
(+.f64 (log1p.f64 N) (*.f64 (neg.f64 (log.f64 N)) 1))
(+.f64 (-.f64 (log1p.f64 N) (log.f64 N)) (fma.f64 (neg.f64 (log.f64 N)) 1 (log.f64 N)))
(+.f64 (-.f64 (log1p.f64 N) (log.f64 N)) (fma.f64 (neg.f64 (cbrt.f64 (log.f64 N))) (pow.f64 (cbrt.f64 (log.f64 N)) 2) (log.f64 N)))
(+.f64 (-.f64 (log1p.f64 N) (log.f64 N)) (+.f64 (neg.f64 (log.f64 N)) (log.f64 N)))
(+.f64 (-.f64 (log1p.f64 N) (log.f64 N)) (fma.f64 -1 (log.f64 N) (log.f64 N)))
(+.f64 (-.f64 (log1p.f64 N) (log.f64 N)) (fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (log.f64 N)) 2)) (cbrt.f64 (log.f64 N)) (log.f64 N)))
(+.f64 0 (-.f64 (log1p.f64 N) (log.f64 N)))
(+.f64 (neg.f64 (log.f64 N)) (log1p.f64 N))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (/.f64 (+.f64 N 1) N)) (cbrt.f64 (/.f64 (+.f64 N 1) N)))) (log.f64 (cbrt.f64 (/.f64 (+.f64 N 1) N))))
(+.f64 (log.f64 (sqrt.f64 (/.f64 (+.f64 N 1) N))) (log.f64 (sqrt.f64 (/.f64 (+.f64 N 1) N))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 N) -2)) (log.f64 (/.f64 (+.f64 N 1) (cbrt.f64 N))))
(+.f64 (log.f64 (pow.f64 N -1/2)) (log.f64 (/.f64 (+.f64 N 1) (sqrt.f64 N))))
(+.f64 (log.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 N 1)) 2) 1)) (log.f64 (/.f64 (cbrt.f64 (+.f64 N 1)) N)))
(+.f64 (log.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 N 1)) 2) (pow.f64 (cbrt.f64 N) 2))) (log.f64 (/.f64 (cbrt.f64 (+.f64 N 1)) (cbrt.f64 N))))
(+.f64 (log.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 N 1)) 2) (sqrt.f64 N))) (log.f64 (/.f64 (cbrt.f64 (+.f64 N 1)) (sqrt.f64 N))))
(+.f64 (log.f64 (/.f64 (sqrt.f64 (+.f64 N 1)) 1)) (log.f64 (/.f64 (sqrt.f64 (+.f64 N 1)) N)))
(+.f64 (log.f64 (/.f64 (sqrt.f64 (+.f64 N 1)) (pow.f64 (cbrt.f64 N) 2))) (log.f64 (/.f64 (sqrt.f64 (+.f64 N 1)) (cbrt.f64 N))))
(+.f64 (log.f64 (/.f64 (sqrt.f64 (+.f64 N 1)) (sqrt.f64 N))) (log.f64 (/.f64 (sqrt.f64 (+.f64 N 1)) (sqrt.f64 N))))
(*.f64 1 (-.f64 (log1p.f64 N) (log.f64 N)))
(*.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 1)
(*.f64 (-.f64 (log1p.f64 N) (log.f64 N)) (log.f64 (exp.f64 1)))
(*.f64 (cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))) (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))) 2))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))) 2) (cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))) 2) (pow.f64 (cbrt.f64 (sqrt.f64 (-.f64 (log1p.f64 N) (log.f64 N)))) 2))
(*.f64 (sqrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))) (sqrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))))
(*.f64 (-.f64 (pow.f64 (log1p.f64 N) 3) (pow.f64 (log.f64 N) 3)) (/.f64 1 (fma.f64 (log.f64 N) (+.f64 (log1p.f64 N) (log.f64 N)) (pow.f64 (log1p.f64 N) 2))))
(*.f64 (-.f64 (pow.f64 (log1p.f64 N) 3) (pow.f64 (log.f64 N) 3)) (pow.f64 (/.f64 1 (fma.f64 (log.f64 N) (+.f64 (log1p.f64 N) (log.f64 N)) (pow.f64 (log1p.f64 N) 2))) 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)) (pow.f64 (/.f64 1 (+.f64 (log1p.f64 N) (log.f64 N))) 1))
(*.f64 (+.f64 (sqrt.f64 (log1p.f64 N)) (sqrt.f64 (log.f64 N))) (-.f64 (sqrt.f64 (log1p.f64 N)) (sqrt.f64 (log.f64 N))))
(*.f64 (pow.f64 1 1/3) (-.f64 (log1p.f64 N) (log.f64 N)))
(*.f64 (pow.f64 (+.f64 (sqrt.f64 (log1p.f64 N)) (sqrt.f64 (log.f64 N))) 1) (pow.f64 (-.f64 (sqrt.f64 (log1p.f64 N)) (sqrt.f64 (log.f64 N))) 1))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))) 2)) 3) (pow.f64 (cbrt.f64 (cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N)))) 3))
(*.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (-.f64 (log1p.f64 N) (log.f64 N)))) 3) (pow.f64 (cbrt.f64 (sqrt.f64 (-.f64 (log1p.f64 N) (log.f64 N)))) 3))
(*.f64 (pow.f64 (*.f64 (cbrt.f64 (cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N)))) (cbrt.f64 (cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))))) 3) (pow.f64 (cbrt.f64 (cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N)))) 3))
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N)))) 3) (pow.f64 (sqrt.f64 (cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N)))) 3))
(*.f64 (pow.f64 (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 3/2) 1/3) (pow.f64 (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 3/2) 1/3))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 3)) 1/3) (pow.f64 (sqrt.f64 (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 3)) 1/3))
(*.f64 (pow.f64 (pow.f64 (*.f64 (-.f64 (log1p.f64 N) (log.f64 N)) (cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N)))) 2) 1/3) (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))) 1/3))
(*.f64 (pow.f64 (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 5/2) 1/3) (pow.f64 (sqrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))) 1/3))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))) 2)) 2) (pow.f64 (sqrt.f64 (cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N)))) 2))
(*.f64 (pow.f64 (sqrt.f64 (sqrt.f64 (-.f64 (log1p.f64 N) (log.f64 N)))) 2) (pow.f64 (sqrt.f64 (sqrt.f64 (-.f64 (log1p.f64 N) (log.f64 N)))) 2))
(/.f64 1 (/.f64 (fma.f64 (log.f64 N) (+.f64 (log1p.f64 N) (log.f64 N)) (pow.f64 (log1p.f64 N) 2)) (-.f64 (pow.f64 (log1p.f64 N) 3) (pow.f64 (log.f64 N) 3))))
(/.f64 1 (/.f64 (+.f64 (log1p.f64 N) (log.f64 N)) (-.f64 (pow.f64 (log1p.f64 N) 2) (pow.f64 (log.f64 N) 2))))
(/.f64 (-.f64 (pow.f64 (log1p.f64 N) 3) (pow.f64 (log.f64 N) 3)) (fma.f64 (log.f64 N) (+.f64 (log1p.f64 N) (log.f64 N)) (pow.f64 (log1p.f64 N) 2)))
(/.f64 (-.f64 (pow.f64 (log1p.f64 N) 2) (pow.f64 (log.f64 N) 2)) (+.f64 (log1p.f64 N) (log.f64 N)))
(/.f64 (neg.f64 (-.f64 (pow.f64 (log1p.f64 N) 3) (pow.f64 (log.f64 N) 3))) (neg.f64 (fma.f64 (log.f64 N) (+.f64 (log1p.f64 N) (log.f64 N)) (pow.f64 (log1p.f64 N) 2))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (log1p.f64 N) 2) (pow.f64 (log.f64 N) 2))) (neg.f64 (+.f64 (log1p.f64 N) (log.f64 N))))
(/.f64 (+.f64 (pow.f64 (log1p.f64 N) 3) (pow.f64 (neg.f64 (log.f64 N)) 3)) (+.f64 (pow.f64 (log1p.f64 N) 2) (-.f64 (pow.f64 (neg.f64 (log.f64 N)) 2) (*.f64 (log1p.f64 N) (neg.f64 (log.f64 N))))))
(/.f64 (-.f64 (pow.f64 (log1p.f64 N) 2) (pow.f64 (neg.f64 (log.f64 N)) 2)) (-.f64 (log1p.f64 N) (neg.f64 (log.f64 N))))
(pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 1)
(pow.f64 (cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))) 3)
(pow.f64 (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 2) 1/2)
(pow.f64 (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 3) 1/3)
(pow.f64 (sqrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))) 2)
(pow.f64 (/.f64 (fma.f64 (log.f64 N) (+.f64 (log1p.f64 N) (log.f64 N)) (pow.f64 (log1p.f64 N) 2)) (-.f64 (pow.f64 (log1p.f64 N) 3) (pow.f64 (log.f64 N) 3))) -1)
(pow.f64 (/.f64 (+.f64 (log1p.f64 N) (log.f64 N)) (-.f64 (pow.f64 (log1p.f64 N) 2) (pow.f64 (log.f64 N) 2))) -1)
(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)))
(log.f64 (*.f64 (exp.f64 (neg.f64 (log.f64 N))) (+.f64 N 1)))
(log.f64 (/.f64 (+.f64 N 1) (+.f64 1 (+.f64 N -1))))
(cbrt.f64 (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 3))
(expm1.f64 (log1p.f64 (-.f64 (log1p.f64 N) (log.f64 N))))
(exp.f64 (log.f64 (-.f64 (log1p.f64 N) (log.f64 N))))
(exp.f64 (*.f64 (log.f64 (-.f64 (log1p.f64 N) (log.f64 N))) 1))
(exp.f64 (*.f64 (*.f64 (log.f64 (-.f64 (log1p.f64 N) (log.f64 N))) 1) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N)))) 3))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (-.f64 (log1p.f64 N) (log.f64 N)))) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (-.f64 (log1p.f64 N) (log.f64 N)))) 2))
(log1p.f64 (-.f64 (/.f64 (+.f64 N 1) N) 1))
(fma.f64 1 (log1p.f64 N) (neg.f64 (log.f64 N)))
(fma.f64 1 (log1p.f64 N) (*.f64 (neg.f64 (log.f64 N)) 1))
(fma.f64 1 (-.f64 (log1p.f64 N) (log.f64 N)) (fma.f64 (neg.f64 (log.f64 N)) 1 (log.f64 N)))
(fma.f64 1 (-.f64 (log1p.f64 N) (log.f64 N)) (fma.f64 (neg.f64 (cbrt.f64 (log.f64 N))) (pow.f64 (cbrt.f64 (log.f64 N)) 2) (log.f64 N)))
(fma.f64 1 (-.f64 (log1p.f64 N) (log.f64 N)) (+.f64 (neg.f64 (log.f64 N)) (log.f64 N)))
(fma.f64 1 (neg.f64 (log.f64 N)) (log1p.f64 N))
(fma.f64 (log1p.f64 N) 1 (neg.f64 (log.f64 N)))
(fma.f64 (log1p.f64 N) 1 (*.f64 (neg.f64 (log.f64 N)) 1))
(fma.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 1 (fma.f64 (neg.f64 (log.f64 N)) 1 (log.f64 N)))
(fma.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 1 (fma.f64 (neg.f64 (cbrt.f64 (log.f64 N))) (pow.f64 (cbrt.f64 (log.f64 N)) 2) (log.f64 N)))
(fma.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 1 (+.f64 (neg.f64 (log.f64 N)) (log.f64 N)))
(fma.f64 (cbrt.f64 (log1p.f64 N)) (pow.f64 (cbrt.f64 (log1p.f64 N)) 2) (neg.f64 (log.f64 N)))
(fma.f64 (cbrt.f64 (log1p.f64 N)) (pow.f64 (cbrt.f64 (log1p.f64 N)) 2) (*.f64 (neg.f64 (log.f64 N)) 1))
(fma.f64 (pow.f64 (cbrt.f64 (log1p.f64 N)) 2) (cbrt.f64 (log1p.f64 N)) (neg.f64 (log.f64 N)))
(fma.f64 (pow.f64 (cbrt.f64 (log1p.f64 N)) 2) (cbrt.f64 (log1p.f64 N)) (*.f64 (neg.f64 (log.f64 N)) 1))
(fma.f64 (pow.f64 (cbrt.f64 (log.f64 N)) 2) (neg.f64 (cbrt.f64 (log.f64 N))) (log1p.f64 N))
(fma.f64 (cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))) (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))) 2) (fma.f64 (neg.f64 (log.f64 N)) 1 (log.f64 N)))
(fma.f64 (cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))) (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))) 2) (fma.f64 (neg.f64 (cbrt.f64 (log.f64 N))) (pow.f64 (cbrt.f64 (log.f64 N)) 2) (log.f64 N)))
(fma.f64 (cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))) (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))) 2) (+.f64 (neg.f64 (log.f64 N)) (log.f64 N)))
(fma.f64 (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))) 2) (cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))) (fma.f64 (neg.f64 (log.f64 N)) 1 (log.f64 N)))
(fma.f64 (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))) 2) (cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))) (fma.f64 (neg.f64 (cbrt.f64 (log.f64 N))) (pow.f64 (cbrt.f64 (log.f64 N)) 2) (log.f64 N)))
(fma.f64 (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))) 2) (cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))) (+.f64 (neg.f64 (log.f64 N)) (log.f64 N)))
(fma.f64 (sqrt.f64 (log1p.f64 N)) (sqrt.f64 (log1p.f64 N)) (neg.f64 (log.f64 N)))
(fma.f64 (sqrt.f64 (log1p.f64 N)) (sqrt.f64 (log1p.f64 N)) (*.f64 (neg.f64 (log.f64 N)) 1))
(fma.f64 (sqrt.f64 (log.f64 N)) (neg.f64 (sqrt.f64 (log.f64 N))) (log1p.f64 N))
(fma.f64 (sqrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))) (sqrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))) (fma.f64 (neg.f64 (log.f64 N)) 1 (log.f64 N)))
(fma.f64 (sqrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))) (sqrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))) (fma.f64 (neg.f64 (cbrt.f64 (log.f64 N))) (pow.f64 (cbrt.f64 (log.f64 N)) 2) (log.f64 N)))
(fma.f64 (sqrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))) (sqrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))) (+.f64 (neg.f64 (log.f64 N)) (log.f64 N)))
(fma.f64 (-.f64 (pow.f64 (log1p.f64 N) 3) (pow.f64 (log.f64 N) 3)) (/.f64 1 (fma.f64 (log.f64 N) (+.f64 (log1p.f64 N) (log.f64 N)) (pow.f64 (log1p.f64 N) 2))) (fma.f64 (neg.f64 (log.f64 N)) 1 (log.f64 N)))
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(fma.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 1 (fma.f64 (neg.f64 (log.f64 N)) 1 (log.f64 N)))
(fma.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 1 (fma.f64 (neg.f64 (cbrt.f64 (log.f64 N))) (pow.f64 (cbrt.f64 (log.f64 N)) 2) (log.f64 N)))
(fma.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 1 (+.f64 (neg.f64 (log.f64 N)) (log.f64 N)))
(fma.f64 (cbrt.f64 (log1p.f64 N)) (pow.f64 (cbrt.f64 (log1p.f64 N)) 2) (neg.f64 (log.f64 N)))
(fma.f64 (cbrt.f64 (log1p.f64 N)) (pow.f64 (cbrt.f64 (log1p.f64 N)) 2) (*.f64 (neg.f64 (log.f64 N)) 1))
(fma.f64 (pow.f64 (cbrt.f64 (log1p.f64 N)) 2) (cbrt.f64 (log1p.f64 N)) (neg.f64 (log.f64 N)))
(fma.f64 (pow.f64 (cbrt.f64 (log1p.f64 N)) 2) (cbrt.f64 (log1p.f64 N)) (*.f64 (neg.f64 (log.f64 N)) 1))
(fma.f64 (pow.f64 (cbrt.f64 (log.f64 N)) 2) (neg.f64 (cbrt.f64 (log.f64 N))) (log1p.f64 N))
(fma.f64 (cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))) (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))) 2) (fma.f64 (neg.f64 (log.f64 N)) 1 (log.f64 N)))
(fma.f64 (cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))) (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))) 2) (fma.f64 (neg.f64 (cbrt.f64 (log.f64 N))) (pow.f64 (cbrt.f64 (log.f64 N)) 2) (log.f64 N)))
(fma.f64 (cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))) (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))) 2) (+.f64 (neg.f64 (log.f64 N)) (log.f64 N)))
(fma.f64 (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))) 2) (cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))) (fma.f64 (neg.f64 (log.f64 N)) 1 (log.f64 N)))
(fma.f64 (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))) 2) (cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))) (fma.f64 (neg.f64 (cbrt.f64 (log.f64 N))) (pow.f64 (cbrt.f64 (log.f64 N)) 2) (log.f64 N)))
(fma.f64 (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))) 2) (cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))) (+.f64 (neg.f64 (log.f64 N)) (log.f64 N)))
(fma.f64 (sqrt.f64 (log1p.f64 N)) (sqrt.f64 (log1p.f64 N)) (neg.f64 (log.f64 N)))
(fma.f64 (sqrt.f64 (log1p.f64 N)) (sqrt.f64 (log1p.f64 N)) (*.f64 (neg.f64 (log.f64 N)) 1))
(fma.f64 (sqrt.f64 (log.f64 N)) (neg.f64 (sqrt.f64 (log.f64 N))) (log1p.f64 N))
(fma.f64 (sqrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))) (sqrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))) (fma.f64 (neg.f64 (log.f64 N)) 1 (log.f64 N)))
(fma.f64 (sqrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))) (sqrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))) (fma.f64 (neg.f64 (cbrt.f64 (log.f64 N))) (pow.f64 (cbrt.f64 (log.f64 N)) 2) (log.f64 N)))
(fma.f64 (sqrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))) (sqrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))) (+.f64 (neg.f64 (log.f64 N)) (log.f64 N)))
(fma.f64 (-.f64 (pow.f64 (log1p.f64 N) 3) (pow.f64 (log.f64 N) 3)) (/.f64 1 (fma.f64 (log.f64 N) (+.f64 (log1p.f64 N) (log.f64 N)) (pow.f64 (log1p.f64 N) 2))) (fma.f64 (neg.f64 (log.f64 N)) 1 (log.f64 N)))
(fma.f64 (-.f64 (pow.f64 (log1p.f64 N) 3) (pow.f64 (log.f64 N) 3)) (/.f64 1 (fma.f64 (log.f64 N) (+.f64 (log1p.f64 N) (log.f64 N)) (pow.f64 (log1p.f64 N) 2))) (fma.f64 (neg.f64 (cbrt.f64 (log.f64 N))) (pow.f64 (cbrt.f64 (log.f64 N)) 2) (log.f64 N)))
(fma.f64 (-.f64 (pow.f64 (log1p.f64 N) 3) (pow.f64 (log.f64 N) 3)) (/.f64 1 (fma.f64 (log.f64 N) (+.f64 (log1p.f64 N) (log.f64 N)) (pow.f64 (log1p.f64 N) 2))) (+.f64 (neg.f64 (log.f64 N)) (log.f64 N)))
(fma.f64 (-.f64 (pow.f64 (log1p.f64 N) 2) (pow.f64 (log.f64 N) 2)) (/.f64 1 (+.f64 (log1p.f64 N) (log.f64 N))) (fma.f64 (neg.f64 (log.f64 N)) 1 (log.f64 N)))
(fma.f64 (-.f64 (pow.f64 (log1p.f64 N) 2) (pow.f64 (log.f64 N) 2)) (/.f64 1 (+.f64 (log1p.f64 N) (log.f64 N))) (fma.f64 (neg.f64 (cbrt.f64 (log.f64 N))) (pow.f64 (cbrt.f64 (log.f64 N)) 2) (log.f64 N)))
(fma.f64 (-.f64 (pow.f64 (log1p.f64 N) 2) (pow.f64 (log.f64 N) 2)) (/.f64 1 (+.f64 (log1p.f64 N) (log.f64 N))) (+.f64 (neg.f64 (log.f64 N)) (log.f64 N)))
(fma.f64 (neg.f64 (sqrt.f64 (log.f64 N))) (sqrt.f64 (log.f64 N)) (log1p.f64 N))
(fma.f64 -1 (log.f64 N) (log1p.f64 N))
(fma.f64 (*.f64 (cbrt.f64 (neg.f64 (log.f64 N))) (cbrt.f64 (neg.f64 (log.f64 N)))) (cbrt.f64 (neg.f64 (log.f64 N))) (log1p.f64 N))
(fma.f64 (sqrt.f64 (neg.f64 (log.f64 N))) (sqrt.f64 (neg.f64 (log.f64 N))) (log1p.f64 N))
(fma.f64 (+.f64 (sqrt.f64 (log1p.f64 N)) (sqrt.f64 (log.f64 N))) (-.f64 (sqrt.f64 (log1p.f64 N)) (sqrt.f64 (log.f64 N))) (fma.f64 (neg.f64 (log.f64 N)) 1 (log.f64 N)))
(fma.f64 (+.f64 (sqrt.f64 (log1p.f64 N)) (sqrt.f64 (log.f64 N))) (-.f64 (sqrt.f64 (log1p.f64 N)) (sqrt.f64 (log.f64 N))) (fma.f64 (neg.f64 (cbrt.f64 (log.f64 N))) (pow.f64 (cbrt.f64 (log.f64 N)) 2) (log.f64 N)))
(fma.f64 (+.f64 (sqrt.f64 (log1p.f64 N)) (sqrt.f64 (log.f64 N))) (-.f64 (sqrt.f64 (log1p.f64 N)) (sqrt.f64 (log.f64 N))) (+.f64 (neg.f64 (log.f64 N)) (log.f64 N)))
(fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (log.f64 N)) 2)) (cbrt.f64 (log.f64 N)) (log1p.f64 N))
(+.f64 (log1p.f64 N) 0)
(+.f64 0 (log1p.f64 N))
(+.f64 (log1p.f64 (pow.f64 N 3)) (log.f64 (/.f64 1 (-.f64 (fma.f64 N N 1) N))))
(+.f64 (*.f64 2 (*.f64 1/3 (log1p.f64 N))) (*.f64 1/3 (log1p.f64 N)))
(+.f64 (*.f64 1/3 (log1p.f64 N)) (*.f64 2 (*.f64 1/3 (log1p.f64 N))))
(+.f64 (*.f64 1/2 (log1p.f64 N)) (*.f64 1/2 (log1p.f64 N)))
(+.f64 (log.f64 (fma.f64 N N -1)) (log.f64 (/.f64 1 (+.f64 N -1))))
(-.f64 0 (log.f64 (/.f64 (-.f64 (fma.f64 N N 1) N) (+.f64 1 (pow.f64 N 3)))))
(-.f64 0 (log.f64 (/.f64 (+.f64 N -1) (fma.f64 N N -1))))
(-.f64 (exp.f64 (log1p.f64 (log1p.f64 N))) 1)
(-.f64 (log1p.f64 (pow.f64 N 3)) (log.f64 (-.f64 (fma.f64 N N 1) N)))
(-.f64 (log1p.f64 (pow.f64 N 3)) (log.f64 (+.f64 1 (-.f64 (pow.f64 N 2) N))))
(-.f64 (log.f64 (fma.f64 N N -1)) (log.f64 (+.f64 N -1)))
(-.f64 (log.f64 (neg.f64 (+.f64 1 (pow.f64 N 3)))) (log.f64 (neg.f64 (-.f64 (fma.f64 N N 1) N))))
(-.f64 (log.f64 (neg.f64 (fma.f64 N N -1))) (log.f64 (neg.f64 (+.f64 N -1))))
(-.f64 (log.f64 (-.f64 1 (pow.f64 N 2))) (log1p.f64 (neg.f64 N)))
(*.f64 1 (log1p.f64 N))
(*.f64 (log1p.f64 N) 1)
(*.f64 (log1p.f64 N) (log.f64 (exp.f64 1)))
(*.f64 (cbrt.f64 (log1p.f64 N)) (pow.f64 (cbrt.f64 (log1p.f64 N)) 2))
(*.f64 (pow.f64 (cbrt.f64 (log1p.f64 N)) 2) (cbrt.f64 (log1p.f64 N)))
(*.f64 (pow.f64 (cbrt.f64 (log1p.f64 N)) 2) (pow.f64 (cbrt.f64 (sqrt.f64 (log1p.f64 N))) 2))
(*.f64 (sqrt.f64 (log1p.f64 N)) (sqrt.f64 (log1p.f64 N)))
(*.f64 3 (*.f64 1/3 (log1p.f64 N)))
(*.f64 2 (*.f64 1/2 (log1p.f64 N)))
(*.f64 1/3 (*.f64 3 (log1p.f64 N)))
(*.f64 (pow.f64 1 1/3) (log1p.f64 N))
(*.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (log1p.f64 N))) 3) (pow.f64 (cbrt.f64 (sqrt.f64 (log1p.f64 N))) 3))
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (log1p.f64 N))) 3) (pow.f64 (sqrt.f64 (cbrt.f64 (log1p.f64 N))) 3))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (log1p.f64 N)) 2)) 3) (pow.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 N))) 3))
(*.f64 (pow.f64 (*.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 N))) (cbrt.f64 (cbrt.f64 (log1p.f64 N)))) 3) (pow.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 N))) 3))
(*.f64 (pow.f64 (pow.f64 (log1p.f64 N) 3/2) 1/3) (pow.f64 (pow.f64 (log1p.f64 N) 3/2) 1/3))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (log1p.f64 N) 3)) 1/3) (pow.f64 (sqrt.f64 (pow.f64 (log1p.f64 N) 3)) 1/3))
(*.f64 (pow.f64 (pow.f64 (*.f64 (log1p.f64 N) (cbrt.f64 (log1p.f64 N))) 2) 1/3) (pow.f64 (cbrt.f64 (log1p.f64 N)) 1/3))
(*.f64 (pow.f64 (pow.f64 (log1p.f64 N) 5/2) 1/3) (pow.f64 (sqrt.f64 (log1p.f64 N)) 1/3))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (log1p.f64 N)) 2)) 2) (pow.f64 (sqrt.f64 (cbrt.f64 (log1p.f64 N))) 2))
(*.f64 (pow.f64 (sqrt.f64 (sqrt.f64 (log1p.f64 N))) 2) (pow.f64 (sqrt.f64 (sqrt.f64 (log1p.f64 N))) 2))
(pow.f64 (log1p.f64 N) 1)
(pow.f64 (cbrt.f64 (log1p.f64 N)) 3)
(pow.f64 (pow.f64 (log1p.f64 N) 2) 1/2)
(pow.f64 (pow.f64 (log1p.f64 N) 3) 1/3)
(pow.f64 (sqrt.f64 (log1p.f64 N)) 2)
(neg.f64 (log.f64 (/.f64 (-.f64 (fma.f64 N N 1) N) (+.f64 1 (pow.f64 N 3)))))
(neg.f64 (log.f64 (/.f64 (+.f64 N -1) (fma.f64 N N -1))))
(sqrt.f64 (pow.f64 (log1p.f64 N) 2))
(log.f64 (+.f64 N 1))
(cbrt.f64 (pow.f64 (log1p.f64 N) 3))
(expm1.f64 (log1p.f64 (log1p.f64 N)))
(exp.f64 (log.f64 (log1p.f64 N)))
(exp.f64 (*.f64 (log.f64 (log1p.f64 N)) 1))
(exp.f64 (*.f64 (*.f64 (log.f64 (log1p.f64 N)) 1) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (log1p.f64 N))) 3))
(exp.f64 (*.f64 (*.f64 (log.f64 (log1p.f64 N)) 3) 1/3))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (log1p.f64 N))) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (log1p.f64 N))) 2))

simplify170.0ms (1.9%)

Algorithm
1×egg-herbie
Rules
822×log-prod
694×times-frac
570×cube-prod
534×swap-sqr
510×associate-*r*
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
046312494
1111611942
2414011728
Stop Event
1×node limit
Counts
388 → 271
Calls
Call 1
Inputs
(*.f64 -1 (log.f64 N))
(+.f64 N (*.f64 -1 (log.f64 N)))
(+.f64 N (+.f64 (*.f64 -1 (log.f64 N)) (*.f64 -1/2 (pow.f64 N 2))))
(+.f64 N (+.f64 (*.f64 -1 (log.f64 N)) (+.f64 (*.f64 -1/2 (pow.f64 N 2)) (*.f64 1/3 (pow.f64 N 3)))))
(/.f64 1 N)
(-.f64 (/.f64 1 N) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 N 3))) (/.f64 1 N)) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 N 3))) (/.f64 1 N)) (+.f64 (*.f64 1/4 (/.f64 1 (pow.f64 N 4))) (*.f64 1/2 (/.f64 1 (pow.f64 N 2)))))
(/.f64 1 N)
(-.f64 (/.f64 1 N) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 N 3))) (/.f64 1 N)) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 N 3))) (/.f64 1 N)) (+.f64 (*.f64 1/4 (/.f64 1 (pow.f64 N 4))) (*.f64 1/2 (/.f64 1 (pow.f64 N 2)))))
N
(+.f64 N (*.f64 -1/2 (pow.f64 N 2)))
(+.f64 N (+.f64 (*.f64 -1/2 (pow.f64 N 2)) (*.f64 1/3 (pow.f64 N 3))))
(+.f64 N (+.f64 (*.f64 -1/2 (pow.f64 N 2)) (+.f64 (*.f64 -1/4 (pow.f64 N 4)) (*.f64 1/3 (pow.f64 N 3)))))
(*.f64 -1 (log.f64 (/.f64 1 N)))
(+.f64 (*.f64 -1 (log.f64 (/.f64 1 N))) (/.f64 1 N))
(-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 N))) (/.f64 1 N)) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 N))) (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 N 3))) (/.f64 1 N))) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 N))))
(+.f64 (log.f64 -1) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 N))) (/.f64 1 N)))
(-.f64 (+.f64 (log.f64 -1) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 N))) (/.f64 1 N))) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (+.f64 (log.f64 -1) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 N))) (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 N 3))) (/.f64 1 N)))) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(*.f64 -1 (log.f64 N))
(+.f64 N (*.f64 -1 (log.f64 N)))
(+.f64 N (+.f64 (*.f64 -1 (log.f64 N)) (*.f64 -1/2 (pow.f64 N 2))))
(+.f64 N (+.f64 (*.f64 -1 (log.f64 N)) (+.f64 (*.f64 -1/2 (pow.f64 N 2)) (*.f64 1/3 (pow.f64 N 3)))))
(/.f64 1 N)
(-.f64 (/.f64 1 N) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 N 3))) (/.f64 1 N)) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 N 3))) (/.f64 1 N)) (+.f64 (*.f64 1/4 (/.f64 1 (pow.f64 N 4))) (*.f64 1/2 (/.f64 1 (pow.f64 N 2)))))
(/.f64 1 N)
(-.f64 (/.f64 1 N) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 N 3))) (/.f64 1 N)) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 N 3))) (/.f64 1 N)) (+.f64 (*.f64 1/4 (/.f64 1 (pow.f64 N 4))) (*.f64 1/2 (/.f64 1 (pow.f64 N 2)))))
N
(+.f64 N (*.f64 -1/2 (pow.f64 N 2)))
(+.f64 N (+.f64 (*.f64 -1/2 (pow.f64 N 2)) (*.f64 1/3 (pow.f64 N 3))))
(+.f64 N (+.f64 (*.f64 -1/2 (pow.f64 N 2)) (+.f64 (*.f64 -1/4 (pow.f64 N 4)) (*.f64 1/3 (pow.f64 N 3)))))
(*.f64 -1 (log.f64 (/.f64 1 N)))
(+.f64 (*.f64 -1 (log.f64 (/.f64 1 N))) (/.f64 1 N))
(-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 N))) (/.f64 1 N)) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 N))) (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 N 3))) (/.f64 1 N))) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 N))))
(+.f64 (log.f64 -1) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 N))) (/.f64 1 N)))
(-.f64 (+.f64 (log.f64 -1) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 N))) (/.f64 1 N))) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (+.f64 (log.f64 -1) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 N))) (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 N 3))) (/.f64 1 N)))) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(+.f64 (log1p.f64 N) (neg.f64 (log.f64 N)))
(+.f64 (log1p.f64 N) (*.f64 (neg.f64 (log.f64 N)) 1))
(+.f64 (-.f64 (log1p.f64 N) (log.f64 N)) (fma.f64 (neg.f64 (log.f64 N)) 1 (log.f64 N)))
(+.f64 (-.f64 (log1p.f64 N) (log.f64 N)) (fma.f64 (neg.f64 (cbrt.f64 (log.f64 N))) (pow.f64 (cbrt.f64 (log.f64 N)) 2) (log.f64 N)))
(+.f64 (-.f64 (log1p.f64 N) (log.f64 N)) (+.f64 (neg.f64 (log.f64 N)) (log.f64 N)))
(+.f64 (-.f64 (log1p.f64 N) (log.f64 N)) (fma.f64 -1 (log.f64 N) (log.f64 N)))
(+.f64 (-.f64 (log1p.f64 N) (log.f64 N)) (fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (log.f64 N)) 2)) (cbrt.f64 (log.f64 N)) (log.f64 N)))
(+.f64 0 (-.f64 (log1p.f64 N) (log.f64 N)))
(+.f64 (neg.f64 (log.f64 N)) (log1p.f64 N))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (/.f64 (+.f64 N 1) N)) (cbrt.f64 (/.f64 (+.f64 N 1) N)))) (log.f64 (cbrt.f64 (/.f64 (+.f64 N 1) N))))
(+.f64 (log.f64 (sqrt.f64 (/.f64 (+.f64 N 1) N))) (log.f64 (sqrt.f64 (/.f64 (+.f64 N 1) N))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 N) -2)) (log.f64 (/.f64 (+.f64 N 1) (cbrt.f64 N))))
(+.f64 (log.f64 (pow.f64 N -1/2)) (log.f64 (/.f64 (+.f64 N 1) (sqrt.f64 N))))
(+.f64 (log.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 N 1)) 2) 1)) (log.f64 (/.f64 (cbrt.f64 (+.f64 N 1)) N)))
(+.f64 (log.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 N 1)) 2) (pow.f64 (cbrt.f64 N) 2))) (log.f64 (/.f64 (cbrt.f64 (+.f64 N 1)) (cbrt.f64 N))))
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(fma.f64 (+.f64 (sqrt.f64 (log1p.f64 N)) (sqrt.f64 (log.f64 N))) (-.f64 (sqrt.f64 (log1p.f64 N)) (sqrt.f64 (log.f64 N))) (fma.f64 (neg.f64 (cbrt.f64 (log.f64 N))) (pow.f64 (cbrt.f64 (log.f64 N)) 2) (log.f64 N)))
(fma.f64 (+.f64 (sqrt.f64 (log1p.f64 N)) (sqrt.f64 (log.f64 N))) (-.f64 (sqrt.f64 (log1p.f64 N)) (sqrt.f64 (log.f64 N))) (+.f64 (neg.f64 (log.f64 N)) (log.f64 N)))
(fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (log.f64 N)) 2)) (cbrt.f64 (log.f64 N)) (log1p.f64 N))
(+.f64 (log1p.f64 N) 0)
(+.f64 0 (log1p.f64 N))
(+.f64 (log1p.f64 (pow.f64 N 3)) (log.f64 (/.f64 1 (-.f64 (fma.f64 N N 1) N))))
(+.f64 (*.f64 2 (*.f64 1/3 (log1p.f64 N))) (*.f64 1/3 (log1p.f64 N)))
(+.f64 (*.f64 1/3 (log1p.f64 N)) (*.f64 2 (*.f64 1/3 (log1p.f64 N))))
(+.f64 (*.f64 1/2 (log1p.f64 N)) (*.f64 1/2 (log1p.f64 N)))
(+.f64 (log.f64 (fma.f64 N N -1)) (log.f64 (/.f64 1 (+.f64 N -1))))
(-.f64 0 (log.f64 (/.f64 (-.f64 (fma.f64 N N 1) N) (+.f64 1 (pow.f64 N 3)))))
(-.f64 0 (log.f64 (/.f64 (+.f64 N -1) (fma.f64 N N -1))))
(-.f64 (exp.f64 (log1p.f64 (log1p.f64 N))) 1)
(-.f64 (log1p.f64 (pow.f64 N 3)) (log.f64 (-.f64 (fma.f64 N N 1) N)))
(-.f64 (log1p.f64 (pow.f64 N 3)) (log.f64 (+.f64 1 (-.f64 (pow.f64 N 2) N))))
(-.f64 (log.f64 (fma.f64 N N -1)) (log.f64 (+.f64 N -1)))
(-.f64 (log.f64 (neg.f64 (+.f64 1 (pow.f64 N 3)))) (log.f64 (neg.f64 (-.f64 (fma.f64 N N 1) N))))
(-.f64 (log.f64 (neg.f64 (fma.f64 N N -1))) (log.f64 (neg.f64 (+.f64 N -1))))
(-.f64 (log.f64 (-.f64 1 (pow.f64 N 2))) (log1p.f64 (neg.f64 N)))
(*.f64 1 (log1p.f64 N))
(*.f64 (log1p.f64 N) 1)
(*.f64 (log1p.f64 N) (log.f64 (exp.f64 1)))
(*.f64 (cbrt.f64 (log1p.f64 N)) (pow.f64 (cbrt.f64 (log1p.f64 N)) 2))
(*.f64 (pow.f64 (cbrt.f64 (log1p.f64 N)) 2) (cbrt.f64 (log1p.f64 N)))
(*.f64 (pow.f64 (cbrt.f64 (log1p.f64 N)) 2) (pow.f64 (cbrt.f64 (sqrt.f64 (log1p.f64 N))) 2))
(*.f64 (sqrt.f64 (log1p.f64 N)) (sqrt.f64 (log1p.f64 N)))
(*.f64 3 (*.f64 1/3 (log1p.f64 N)))
(*.f64 2 (*.f64 1/2 (log1p.f64 N)))
(*.f64 1/3 (*.f64 3 (log1p.f64 N)))
(*.f64 (pow.f64 1 1/3) (log1p.f64 N))
(*.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (log1p.f64 N))) 3) (pow.f64 (cbrt.f64 (sqrt.f64 (log1p.f64 N))) 3))
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (log1p.f64 N))) 3) (pow.f64 (sqrt.f64 (cbrt.f64 (log1p.f64 N))) 3))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (log1p.f64 N)) 2)) 3) (pow.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 N))) 3))
(*.f64 (pow.f64 (*.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 N))) (cbrt.f64 (cbrt.f64 (log1p.f64 N)))) 3) (pow.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 N))) 3))
(*.f64 (pow.f64 (pow.f64 (log1p.f64 N) 3/2) 1/3) (pow.f64 (pow.f64 (log1p.f64 N) 3/2) 1/3))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (log1p.f64 N) 3)) 1/3) (pow.f64 (sqrt.f64 (pow.f64 (log1p.f64 N) 3)) 1/3))
(*.f64 (pow.f64 (pow.f64 (*.f64 (log1p.f64 N) (cbrt.f64 (log1p.f64 N))) 2) 1/3) (pow.f64 (cbrt.f64 (log1p.f64 N)) 1/3))
(*.f64 (pow.f64 (pow.f64 (log1p.f64 N) 5/2) 1/3) (pow.f64 (sqrt.f64 (log1p.f64 N)) 1/3))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (log1p.f64 N)) 2)) 2) (pow.f64 (sqrt.f64 (cbrt.f64 (log1p.f64 N))) 2))
(*.f64 (pow.f64 (sqrt.f64 (sqrt.f64 (log1p.f64 N))) 2) (pow.f64 (sqrt.f64 (sqrt.f64 (log1p.f64 N))) 2))
(pow.f64 (log1p.f64 N) 1)
(pow.f64 (cbrt.f64 (log1p.f64 N)) 3)
(pow.f64 (pow.f64 (log1p.f64 N) 2) 1/2)
(pow.f64 (pow.f64 (log1p.f64 N) 3) 1/3)
(pow.f64 (sqrt.f64 (log1p.f64 N)) 2)
(neg.f64 (log.f64 (/.f64 (-.f64 (fma.f64 N N 1) N) (+.f64 1 (pow.f64 N 3)))))
(neg.f64 (log.f64 (/.f64 (+.f64 N -1) (fma.f64 N N -1))))
(sqrt.f64 (pow.f64 (log1p.f64 N) 2))
(log.f64 (+.f64 N 1))
(cbrt.f64 (pow.f64 (log1p.f64 N) 3))
(expm1.f64 (log1p.f64 (log1p.f64 N)))
(exp.f64 (log.f64 (log1p.f64 N)))
(exp.f64 (*.f64 (log.f64 (log1p.f64 N)) 1))
(exp.f64 (*.f64 (*.f64 (log.f64 (log1p.f64 N)) 1) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (log1p.f64 N))) 3))
(exp.f64 (*.f64 (*.f64 (log.f64 (log1p.f64 N)) 3) 1/3))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (log1p.f64 N))) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (log1p.f64 N))) 2))
Outputs
(*.f64 -1 (log.f64 N))
(neg.f64 (log.f64 N))
(+.f64 N (*.f64 -1 (log.f64 N)))
(+.f64 N (neg.f64 (log.f64 N)))
(-.f64 N (log.f64 N))
(+.f64 N (+.f64 (*.f64 -1 (log.f64 N)) (*.f64 -1/2 (pow.f64 N 2))))
(+.f64 N (fma.f64 -1 (log.f64 N) (*.f64 -1/2 (pow.f64 N 2))))
(+.f64 N (fma.f64 -1/2 (pow.f64 N 2) (neg.f64 (log.f64 N))))
(-.f64 (fma.f64 -1/2 (pow.f64 N 2) N) (log.f64 N))
(+.f64 N (+.f64 (*.f64 -1 (log.f64 N)) (+.f64 (*.f64 -1/2 (pow.f64 N 2)) (*.f64 1/3 (pow.f64 N 3)))))
(+.f64 N (fma.f64 -1 (log.f64 N) (fma.f64 -1/2 (pow.f64 N 2) (*.f64 1/3 (pow.f64 N 3)))))
(+.f64 N (-.f64 (fma.f64 -1/2 (pow.f64 N 2) (*.f64 1/3 (pow.f64 N 3))) (log.f64 N)))
(+.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 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 1/3 (pow.f64 N 3)) (-.f64 (-.f64 (/.f64 1 N) (/.f64 1/4 (pow.f64 N 4))) (/.f64 1/2 (pow.f64 N 2))))
(+.f64 (/.f64 1 N) (+.f64 (/.f64 1/3 (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 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 1/3 (pow.f64 N 3)) (-.f64 (-.f64 (/.f64 1 N) (/.f64 1/4 (pow.f64 N 4))) (/.f64 1/2 (pow.f64 N 2))))
(+.f64 (/.f64 1 N) (+.f64 (/.f64 1/3 (pow.f64 N 3)) (-.f64 (/.f64 -1/2 (pow.f64 N 2)) (/.f64 1/4 (pow.f64 N 4)))))
N
(+.f64 N (*.f64 -1/2 (pow.f64 N 2)))
(fma.f64 -1/2 (pow.f64 N 2) N)
(+.f64 N (+.f64 (*.f64 -1/2 (pow.f64 N 2)) (*.f64 1/3 (pow.f64 N 3))))
(+.f64 N (fma.f64 -1/2 (pow.f64 N 2) (*.f64 1/3 (pow.f64 N 3))))
(+.f64 (*.f64 1/3 (pow.f64 N 3)) (fma.f64 -1/2 (pow.f64 N 2) N))
(+.f64 N (+.f64 (*.f64 -1/2 (pow.f64 N 2)) (+.f64 (*.f64 -1/4 (pow.f64 N 4)) (*.f64 1/3 (pow.f64 N 3)))))
(+.f64 N (fma.f64 -1/2 (pow.f64 N 2) (fma.f64 -1/4 (pow.f64 N 4) (*.f64 1/3 (pow.f64 N 3)))))
(+.f64 N (fma.f64 -1/2 (pow.f64 N 2) (fma.f64 1/3 (pow.f64 N 3) (*.f64 (pow.f64 N 4) -1/4))))
(*.f64 -1 (log.f64 (/.f64 1 N)))
(neg.f64 (neg.f64 (log.f64 N)))
(log.f64 N)
(+.f64 (*.f64 -1 (log.f64 (/.f64 1 N))) (/.f64 1 N))
(fma.f64 -1 (neg.f64 (log.f64 N)) (/.f64 1 N))
(+.f64 (log.f64 N) (/.f64 1 N))
(-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 N))) (/.f64 1 N)) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (fma.f64 -1 (neg.f64 (log.f64 N)) (/.f64 1 N)) (/.f64 1/2 (pow.f64 N 2)))
(+.f64 (/.f64 -1/2 (pow.f64 N 2)) (+.f64 (log.f64 N) (/.f64 1 N)))
(+.f64 (log.f64 N) (+.f64 (/.f64 1 N) (/.f64 -1/2 (pow.f64 N 2))))
(-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 N))) (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 N 3))) (/.f64 1 N))) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (fma.f64 -1 (neg.f64 (log.f64 N)) (+.f64 (/.f64 1 N) (/.f64 1/3 (pow.f64 N 3)))) (/.f64 1/2 (pow.f64 N 2)))
(+.f64 (log.f64 N) (+.f64 (/.f64 1 N) (+.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 -1/2 (pow.f64 N 2)))))
(+.f64 (log.f64 N) (+.f64 (+.f64 (/.f64 1 N) (/.f64 -1/2 (pow.f64 N 2))) (/.f64 1/3 (pow.f64 N 3))))
(+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 N))))
(+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 N))))
(-.f64 (log.f64 -1) (log.f64 (/.f64 -1 N)))
(+.f64 (log.f64 -1) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 N))) (/.f64 1 N)))
(+.f64 (log.f64 -1) (fma.f64 -1 (log.f64 (/.f64 -1 N)) (/.f64 1 N)))
(+.f64 (/.f64 1 N) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 N))))
(-.f64 (+.f64 (log.f64 -1) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 N))) (/.f64 1 N))) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(+.f64 (log.f64 -1) (-.f64 (fma.f64 -1 (log.f64 (/.f64 -1 N)) (/.f64 1 N)) (/.f64 1/2 (pow.f64 N 2))))
(+.f64 (log.f64 -1) (+.f64 (-.f64 (/.f64 1 N) (log.f64 (/.f64 -1 N))) (/.f64 -1/2 (pow.f64 N 2))))
(-.f64 (+.f64 (log.f64 -1) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 N))) (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 N 3))) (/.f64 1 N)))) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(+.f64 (log.f64 -1) (-.f64 (fma.f64 -1 (log.f64 (/.f64 -1 N)) (+.f64 (/.f64 1 N) (/.f64 1/3 (pow.f64 N 3)))) (/.f64 1/2 (pow.f64 N 2))))
(+.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 N))) (+.f64 (/.f64 1 N) (+.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 -1/2 (pow.f64 N 2)))))
(+.f64 (log.f64 -1) (+.f64 (+.f64 (/.f64 1 N) (-.f64 (/.f64 1/3 (pow.f64 N 3)) (log.f64 (/.f64 -1 N)))) (/.f64 -1/2 (pow.f64 N 2))))
(*.f64 -1 (log.f64 N))
(neg.f64 (log.f64 N))
(+.f64 N (*.f64 -1 (log.f64 N)))
(+.f64 N (neg.f64 (log.f64 N)))
(-.f64 N (log.f64 N))
(+.f64 N (+.f64 (*.f64 -1 (log.f64 N)) (*.f64 -1/2 (pow.f64 N 2))))
(+.f64 N (fma.f64 -1 (log.f64 N) (*.f64 -1/2 (pow.f64 N 2))))
(+.f64 N (fma.f64 -1/2 (pow.f64 N 2) (neg.f64 (log.f64 N))))
(-.f64 (fma.f64 -1/2 (pow.f64 N 2) N) (log.f64 N))
(+.f64 N (+.f64 (*.f64 -1 (log.f64 N)) (+.f64 (*.f64 -1/2 (pow.f64 N 2)) (*.f64 1/3 (pow.f64 N 3)))))
(+.f64 N (fma.f64 -1 (log.f64 N) (fma.f64 -1/2 (pow.f64 N 2) (*.f64 1/3 (pow.f64 N 3)))))
(+.f64 N (-.f64 (fma.f64 -1/2 (pow.f64 N 2) (*.f64 1/3 (pow.f64 N 3))) (log.f64 N)))
(+.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 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 1/3 (pow.f64 N 3)) (-.f64 (-.f64 (/.f64 1 N) (/.f64 1/4 (pow.f64 N 4))) (/.f64 1/2 (pow.f64 N 2))))
(+.f64 (/.f64 1 N) (+.f64 (/.f64 1/3 (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 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 1/3 (pow.f64 N 3)) (-.f64 (-.f64 (/.f64 1 N) (/.f64 1/4 (pow.f64 N 4))) (/.f64 1/2 (pow.f64 N 2))))
(+.f64 (/.f64 1 N) (+.f64 (/.f64 1/3 (pow.f64 N 3)) (-.f64 (/.f64 -1/2 (pow.f64 N 2)) (/.f64 1/4 (pow.f64 N 4)))))
N
(+.f64 N (*.f64 -1/2 (pow.f64 N 2)))
(fma.f64 -1/2 (pow.f64 N 2) N)
(+.f64 N (+.f64 (*.f64 -1/2 (pow.f64 N 2)) (*.f64 1/3 (pow.f64 N 3))))
(+.f64 N (fma.f64 -1/2 (pow.f64 N 2) (*.f64 1/3 (pow.f64 N 3))))
(+.f64 (*.f64 1/3 (pow.f64 N 3)) (fma.f64 -1/2 (pow.f64 N 2) N))
(+.f64 N (+.f64 (*.f64 -1/2 (pow.f64 N 2)) (+.f64 (*.f64 -1/4 (pow.f64 N 4)) (*.f64 1/3 (pow.f64 N 3)))))
(+.f64 N (fma.f64 -1/2 (pow.f64 N 2) (fma.f64 -1/4 (pow.f64 N 4) (*.f64 1/3 (pow.f64 N 3)))))
(+.f64 N (fma.f64 -1/2 (pow.f64 N 2) (fma.f64 1/3 (pow.f64 N 3) (*.f64 (pow.f64 N 4) -1/4))))
(*.f64 -1 (log.f64 (/.f64 1 N)))
(neg.f64 (neg.f64 (log.f64 N)))
(log.f64 N)
(+.f64 (*.f64 -1 (log.f64 (/.f64 1 N))) (/.f64 1 N))
(fma.f64 -1 (neg.f64 (log.f64 N)) (/.f64 1 N))
(+.f64 (log.f64 N) (/.f64 1 N))
(-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 N))) (/.f64 1 N)) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (fma.f64 -1 (neg.f64 (log.f64 N)) (/.f64 1 N)) (/.f64 1/2 (pow.f64 N 2)))
(+.f64 (/.f64 -1/2 (pow.f64 N 2)) (+.f64 (log.f64 N) (/.f64 1 N)))
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(-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 N))) (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 N 3))) (/.f64 1 N))) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
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(-.f64 (log1p.f64 (neg.f64 (pow.f64 N 2))) (log1p.f64 (neg.f64 N)))
(*.f64 1 (log1p.f64 N))
(log1p.f64 N)
(*.f64 (log1p.f64 N) 1)
(log1p.f64 N)
(*.f64 (log1p.f64 N) (log.f64 (exp.f64 1)))
(log1p.f64 N)
(*.f64 (cbrt.f64 (log1p.f64 N)) (pow.f64 (cbrt.f64 (log1p.f64 N)) 2))
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(*.f64 (pow.f64 (cbrt.f64 (log1p.f64 N)) 2) (cbrt.f64 (log1p.f64 N)))
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(*.f64 (pow.f64 (cbrt.f64 (log1p.f64 N)) 2) (pow.f64 (cbrt.f64 (sqrt.f64 (log1p.f64 N))) 2))
(*.f64 (sqrt.f64 (log1p.f64 N)) (sqrt.f64 (log1p.f64 N)))
(log1p.f64 N)
(*.f64 3 (*.f64 1/3 (log1p.f64 N)))
(log1p.f64 N)
(*.f64 2 (*.f64 1/2 (log1p.f64 N)))
(log1p.f64 N)
(*.f64 1/3 (*.f64 3 (log1p.f64 N)))
(log1p.f64 N)
(*.f64 (pow.f64 1 1/3) (log1p.f64 N))
(log1p.f64 N)
(*.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (log1p.f64 N))) 3) (pow.f64 (cbrt.f64 (sqrt.f64 (log1p.f64 N))) 3))
(log1p.f64 N)
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (log1p.f64 N))) 3) (pow.f64 (sqrt.f64 (cbrt.f64 (log1p.f64 N))) 3))
(log1p.f64 N)
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (log1p.f64 N)) 2)) 3) (pow.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 N))) 3))
(log1p.f64 N)
(*.f64 (pow.f64 (*.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 N))) (cbrt.f64 (cbrt.f64 (log1p.f64 N)))) 3) (pow.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 N))) 3))
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(neg.f64 (log.f64 (/.f64 (+.f64 N -1) (fma.f64 N N -1))))
(-.f64 (log.f64 (fma.f64 N N -1)) (log.f64 (+.f64 -1 N)))
(sqrt.f64 (pow.f64 (log1p.f64 N) 2))
(log1p.f64 N)
(log.f64 (+.f64 N 1))
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(cbrt.f64 (pow.f64 (log1p.f64 N) 3))
(log1p.f64 N)
(expm1.f64 (log1p.f64 (log1p.f64 N)))
(log1p.f64 N)
(exp.f64 (log.f64 (log1p.f64 N)))
(log1p.f64 N)
(exp.f64 (*.f64 (log.f64 (log1p.f64 N)) 1))
(log1p.f64 N)
(exp.f64 (*.f64 (*.f64 (log.f64 (log1p.f64 N)) 1) 1))
(log1p.f64 N)
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (log1p.f64 N))) 3))
(log1p.f64 N)
(exp.f64 (*.f64 (*.f64 (log.f64 (log1p.f64 N)) 3) 1/3))
(log1p.f64 N)
(exp.f64 (*.f64 (*.f64 3 (log.f64 (log1p.f64 N))) 1/3))
(log1p.f64 N)
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (log1p.f64 N))) 2))
(log1p.f64 N)

eval67.0ms (0.7%)

Compiler

Compiled 3977 to 2015 computations (49.3% saved)

prune59.0ms (0.7%)

Pruning

25 alts after pruning (24 fresh and 1 done)

PrunedKeptTotal
New24724271
Fresh000
Picked112
Done000
Total24825273
Accuracy
99.6%
Counts
273 → 25
Alt Table
Click to see full alt table
StatusAccuracyProgram
25.2%
(fma.f64 (sqrt.f64 (log.f64 N)) (neg.f64 (sqrt.f64 (log.f64 N))) (log1p.f64 N))
▶23.6%
(pow.f64 (sqrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))) 2)
▶84.5%
(/.f64 1 N)
92.0%
(-.f64 (/.f64 1 N) (/.f64 1/2 (pow.f64 N 2)))
✓23.6%
(-.f64 (log1p.f64 N) (log.f64 N))
94.4%
(+.f64 (/.f64 1 N) (+.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 -1/2 (pow.f64 N 2))))
▶95.5%
(+.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)))))
▶94.4%
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (-.f64 (/.f64 1 N) (/.f64 1/2 (pow.f64 N 2))))
95.5%
(+.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)))))
95.5%
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (-.f64 (-.f64 (/.f64 1 N) (/.f64 1/4 (pow.f64 N 4))) (/.f64 1/2 (pow.f64 N 2))))
24.3%
(+.f64 (*.f64 -1/2 (log.f64 N)) (log.f64 (/.f64 (+.f64 N 1) (sqrt.f64 N))))
25.0%
(+.f64 (log.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 N 1)) 2) (sqrt.f64 N))) (log.f64 (/.f64 (cbrt.f64 (+.f64 N 1)) (sqrt.f64 N))))
24.6%
(+.f64 (log.f64 (*.f64 (cbrt.f64 (/.f64 (+.f64 N 1) N)) (cbrt.f64 (/.f64 (+.f64 N 1) N)))) (log.f64 (cbrt.f64 (/.f64 (+.f64 N 1) N))))
23.6%
(*.f64 (pow.f64 (*.f64 (cbrt.f64 (cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N)))) (cbrt.f64 (cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))))) 3) (pow.f64 (cbrt.f64 (cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N)))) 3))
23.6%
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))) 2)) 3) (pow.f64 (cbrt.f64 (cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N)))) 3))
26.1%
(*.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 1 (/.f64 1 N)))) 2) (pow.f64 (cbrt.f64 (sqrt.f64 (log.f64 (+.f64 1 (/.f64 1 N))))) 2))
▶22.7%
(*.f64 (+.f64 (sqrt.f64 (log1p.f64 N)) (sqrt.f64 (log.f64 N))) (-.f64 (sqrt.f64 (log1p.f64 N)) (sqrt.f64 (log.f64 N))))
23.6%
(*.f64 (cbrt.f64 (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 3/2)) (cbrt.f64 (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 3/2)))
26.1%
(*.f64 (cbrt.f64 (pow.f64 (log.f64 (+.f64 1 (/.f64 1 N))) 3/2)) (cbrt.f64 (pow.f64 (log.f64 (+.f64 1 (/.f64 1 N))) 3/2)))
26.1%
(*.f64 (cbrt.f64 (cbrt.f64 (log.f64 (+.f64 1 (/.f64 1 N))))) (cbrt.f64 (pow.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 1 (/.f64 1 N)))) 4) 2)))
25.5%
(*.f64 2 (log.f64 (sqrt.f64 (/.f64 (+.f64 N 1) N))))
26.7%
(neg.f64 (log.f64 (/.f64 N (+.f64 N 1))))
26.1%
(log.f64 (/.f64 (+.f64 N 1) N))
26.1%
(log.f64 (+.f64 1 (/.f64 1 N)))
23.6%
(exp.f64 (log.f64 (-.f64 (log1p.f64 N) (log.f64 N))))
Compiler

Compiled 756 to 562 computations (25.7% saved)

localize237.0ms (2.7%)

Localize:

Found 16 expressions with local error:

NewAccuracyProgram
✓99.8%
(sqrt.f64 (log1p.f64 N))
✓99.8%
(sqrt.f64 (log.f64 N))
✓99.5%
(*.f64 (+.f64 (sqrt.f64 (log1p.f64 N)) (sqrt.f64 (log.f64 N))) (-.f64 (sqrt.f64 (log1p.f64 N)) (sqrt.f64 (log.f64 N))))
✓22.8%
(-.f64 (sqrt.f64 (log1p.f64 N)) (sqrt.f64 (log.f64 N)))
100.0%
(log1p.f64 N)
✓99.8%
(sqrt.f64 (-.f64 (log1p.f64 N) (log.f64 N)))
✓99.3%
(pow.f64 (sqrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))) 2)
✓23.6%
(-.f64 (log1p.f64 N) (log.f64 N))
✓99.9%
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (-.f64 (/.f64 1 N) (/.f64 1/2 (pow.f64 N 2))))
✓99.9%
(-.f64 (/.f64 1 N) (/.f64 1/2 (pow.f64 N 2)))
✓99.7%
(/.f64 1/2 (pow.f64 N 2))
✓99.3%
(/.f64 1/3 (pow.f64 N 3))
✓99.8%
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (-.f64 (/.f64 -1/2 (pow.f64 N 2)) (/.f64 1/4 (pow.f64 N 4))))
✓99.7%
(/.f64 -1/2 (pow.f64 N 2))
✓99.7%
(/.f64 1/4 (pow.f64 N 4))
✓99.3%
(/.f64 1/3 (pow.f64 N 3))
Compiler

Compiled 205 to 122 computations (40.5% saved)

series80.0ms (0.9%)

Counts
15 → 90
Calls

45 calls:

TimeVariablePointExpression
25.0ms
N
@0
(sqrt.f64 (log.f64 N))
19.0ms
N
@-inf
(sqrt.f64 (log.f64 N))
8.0ms
N
@inf
(sqrt.f64 (log.f64 N))
3.0ms
N
@inf
(-.f64 (sqrt.f64 (log1p.f64 N)) (sqrt.f64 (log.f64 N)))
3.0ms
N
@-inf
(-.f64 (sqrt.f64 (log1p.f64 N)) (sqrt.f64 (log.f64 N)))

rewrite173.0ms (1.9%)

Algorithm
1×batch-egg-rewrite
Rules
350×associate-*r*
263×log1p-expm1-u
263×expm1-log1p-u
249×pow1
247×add-cube-cbrt
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
036362
1589350
Stop Event
1×node limit
Counts
15 → 598
Calls
Call 1
Inputs
(/.f64 1/3 (pow.f64 N 3))
(/.f64 1/4 (pow.f64 N 4))
(/.f64 -1/2 (pow.f64 N 2))
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (-.f64 (/.f64 -1/2 (pow.f64 N 2)) (/.f64 1/4 (pow.f64 N 4))))
(/.f64 1/3 (pow.f64 N 3))
(/.f64 1/2 (pow.f64 N 2))
(-.f64 (/.f64 1 N) (/.f64 1/2 (pow.f64 N 2)))
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (-.f64 (/.f64 1 N) (/.f64 1/2 (pow.f64 N 2))))
(-.f64 (log1p.f64 N) (log.f64 N))
(pow.f64 (sqrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))) 2)
(sqrt.f64 (-.f64 (log1p.f64 N) (log.f64 N)))
(-.f64 (sqrt.f64 (log1p.f64 N)) (sqrt.f64 (log.f64 N)))
(*.f64 (+.f64 (sqrt.f64 (log1p.f64 N)) (sqrt.f64 (log.f64 N))) (-.f64 (sqrt.f64 (log1p.f64 N)) (sqrt.f64 (log.f64 N))))
(sqrt.f64 (log.f64 N))
(sqrt.f64 (log1p.f64 N))
Outputs
(-.f64 (exp.f64 (log1p.f64 (*.f64 1/3 (pow.f64 N -3)))) 1)
(*.f64 1/3 (pow.f64 N -3))
(*.f64 1 (*.f64 1/3 (pow.f64 N -3)))
(*.f64 (pow.f64 (/.f64 (cbrt.f64 1/3) N) 2) (/.f64 (cbrt.f64 1/3) N))
(*.f64 (/.f64 (sqrt.f64 1/3) (pow.f64 N 3/2)) (/.f64 (sqrt.f64 1/3) (pow.f64 N 3/2)))
(*.f64 -1/3 (/.f64 1 (neg.f64 (pow.f64 N 3))))
(pow.f64 (*.f64 1/3 (pow.f64 N -3)) 1)
(pow.f64 (/.f64 (cbrt.f64 1/3) N) 3)
(pow.f64 (/.f64 (sqrt.f64 1/3) (pow.f64 N 3/2)) 2)
(pow.f64 (*.f64 1/27 (pow.f64 (pow.f64 N -3) 3)) 1/3)
(pow.f64 (*.f64 (pow.f64 N 3) 3) -1)
(sqrt.f64 (/.f64 1/9 (pow.f64 N 6)))
(log.f64 (pow.f64 (exp.f64 1/3) (pow.f64 N -3)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 1/3 (pow.f64 N -3)))))
(cbrt.f64 (*.f64 1/27 (pow.f64 (pow.f64 N -3) 3)))
(expm1.f64 (log1p.f64 (*.f64 1/3 (pow.f64 N -3))))
(exp.f64 (log.f64 (*.f64 1/3 (pow.f64 N -3))))
(exp.f64 (*.f64 (log.f64 (*.f64 1/3 (pow.f64 N -3))) 1))
(log1p.f64 (expm1.f64 (*.f64 1/3 (pow.f64 N -3))))
(-.f64 0 (*.f64 1/4 (pow.f64 N -4)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 1/4 (pow.f64 N -4)))) 1)
(*.f64 1/4 (pow.f64 N -4))
(*.f64 1/4 (neg.f64 (pow.f64 N -4)))
(*.f64 1/4 (*.f64 (pow.f64 N -2) (pow.f64 N -2)))
(*.f64 (*.f64 -1/2 (pow.f64 N -2)) (*.f64 -1/2 (pow.f64 N -2)))
(*.f64 1 (*.f64 1/4 (pow.f64 N -4)))
(*.f64 -1 (*.f64 1/4 (pow.f64 N -4)))
(*.f64 (cbrt.f64 (/.f64 1/16 (pow.f64 N 8))) (cbrt.f64 (*.f64 1/4 (pow.f64 N -4))))
(*.f64 (cbrt.f64 (/.f64 1/16 (pow.f64 N 8))) (neg.f64 (cbrt.f64 (*.f64 1/4 (pow.f64 N -4)))))
(*.f64 -1/4 (pow.f64 N -4))
(*.f64 -1/4 (/.f64 1 (neg.f64 (pow.f64 N 4))))
(*.f64 (*.f64 (*.f64 -1/2 (pow.f64 N -2)) (/.f64 (sqrt.f64 1/2) N)) (/.f64 (sqrt.f64 1/2) N))
(*.f64 (neg.f64 (cbrt.f64 (/.f64 1/16 (pow.f64 N 8)))) (cbrt.f64 (*.f64 1/4 (pow.f64 N -4))))
(*.f64 (*.f64 (*.f64 -1/2 (pow.f64 N -2)) 1) (*.f64 -1/2 (pow.f64 N -2)))
(*.f64 (*.f64 (*.f64 -1/2 (pow.f64 N -2)) 1/2) (pow.f64 N -2))
(*.f64 (*.f64 (*.f64 -1/2 (pow.f64 N -2)) -1/2) (pow.f64 N -2))
(*.f64 (*.f64 (*.f64 -1/2 (pow.f64 N -2)) (cbrt.f64 (*.f64 1/4 (pow.f64 N -4)))) (cbrt.f64 (*.f64 -1/2 (pow.f64 N -2))))
(pow.f64 (*.f64 1/4 (pow.f64 N -4)) 1)
(pow.f64 (*.f64 -1/2 (pow.f64 N -2)) 2)
(pow.f64 (cbrt.f64 (*.f64 1/4 (pow.f64 N -4))) 3)
(pow.f64 (pow.f64 (*.f64 1/4 (pow.f64 N -4)) 3) 1/3)
(pow.f64 (*.f64 (pow.f64 N 4) 4) -1)
(neg.f64 (*.f64 1/4 (pow.f64 N -4)))
(sqrt.f64 (/.f64 1/16 (pow.f64 N 8)))
(log.f64 (pow.f64 (exp.f64 1/4) (pow.f64 N -4)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 1/4 (pow.f64 N -4)))))
(log.f64 (/.f64 1 (pow.f64 (exp.f64 1/4) (pow.f64 N -4))))
(cbrt.f64 (pow.f64 (*.f64 1/4 (pow.f64 N -4)) 3))
(expm1.f64 (log1p.f64 (*.f64 1/4 (pow.f64 N -4))))
(exp.f64 (log.f64 (*.f64 1/4 (pow.f64 N -4))))
(exp.f64 (*.f64 (log.f64 (*.f64 1/4 (pow.f64 N -4))) 1))
(log1p.f64 (expm1.f64 (*.f64 1/4 (pow.f64 N -4))))
(-.f64 0 (*.f64 -1/2 (pow.f64 N -2)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 -1/2 (pow.f64 N -2)))) 1)
(*.f64 -1/2 (pow.f64 N -2))
(*.f64 -1/2 (/.f64 1 (neg.f64 (pow.f64 N 2))))
(*.f64 1/2 (pow.f64 N -2))
(*.f64 1/2 (neg.f64 (pow.f64 N -2)))
(*.f64 1/2 (sqrt.f64 (pow.f64 N -4)))
(*.f64 1/2 (/.f64 1 (neg.f64 (pow.f64 N 2))))
(*.f64 1 (*.f64 -1/2 (pow.f64 N -2)))
(*.f64 -1 (*.f64 -1/2 (pow.f64 N -2)))
(*.f64 (cbrt.f64 (*.f64 1/4 (pow.f64 N -4))) (cbrt.f64 (*.f64 -1/2 (pow.f64 N -2))))
(*.f64 (cbrt.f64 (*.f64 1/4 (pow.f64 N -4))) (neg.f64 (cbrt.f64 (*.f64 -1/2 (pow.f64 N -2)))))
(*.f64 (/.f64 (sqrt.f64 1/2) N) (/.f64 (sqrt.f64 1/2) N))
(*.f64 (/.f64 (sqrt.f64 1/2) N) (neg.f64 (/.f64 (sqrt.f64 1/2) N)))
(*.f64 (neg.f64 (/.f64 (sqrt.f64 1/2) N)) (/.f64 (sqrt.f64 1/2) N))
(*.f64 (neg.f64 (cbrt.f64 (*.f64 1/4 (pow.f64 N -4)))) (cbrt.f64 (*.f64 -1/2 (pow.f64 N -2))))
(*.f64 (sqrt.f64 (cbrt.f64 (/.f64 1/16 (pow.f64 N 8)))) (sqrt.f64 (cbrt.f64 (*.f64 1/4 (pow.f64 N -4)))))
(pow.f64 (*.f64 1/4 (pow.f64 N -4)) 1/2)
(pow.f64 (*.f64 -1/2 (pow.f64 N -2)) 1)
(pow.f64 (cbrt.f64 (*.f64 -1/2 (pow.f64 N -2))) 3)
(pow.f64 (/.f64 -1/8 (pow.f64 N 6)) 1/3)
(pow.f64 (/.f64 (sqrt.f64 1/2) N) 2)
(pow.f64 (*.f64 (pow.f64 N 2) 2) -1)
(neg.f64 (*.f64 -1/2 (pow.f64 N -2)))
(sqrt.f64 (*.f64 1/4 (pow.f64 N -4)))
(fabs.f64 (*.f64 -1/2 (pow.f64 N -2)))
(log.f64 (pow.f64 (exp.f64 1/2) (pow.f64 N -2)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 -1/2 (pow.f64 N -2)))))
(log.f64 (/.f64 1 (pow.f64 (exp.f64 1/2) (pow.f64 N -2))))
(cbrt.f64 (/.f64 -1/8 (pow.f64 N 6)))
(expm1.f64 (log1p.f64 (*.f64 -1/2 (pow.f64 N -2))))
(exp.f64 (log.f64 (*.f64 -1/2 (pow.f64 N -2))))
(exp.f64 (*.f64 (log.f64 (*.f64 -1/2 (pow.f64 N -2))) 1))
(log1p.f64 (expm1.f64 (*.f64 -1/2 (pow.f64 N -2))))
(-.f64 (*.f64 -1/2 (pow.f64 N -2)) (-.f64 (*.f64 1/4 (pow.f64 N -4)) (*.f64 1/3 (pow.f64 N -3))))
(-.f64 (fma.f64 1/3 (pow.f64 N -3) (*.f64 -1/2 (pow.f64 N -2))) (*.f64 1/4 (pow.f64 N -4)))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 1/3 (pow.f64 N -3) (fma.f64 -1/2 (pow.f64 N -2) (*.f64 1/4 (pow.f64 N -4)))))) 1)
(-.f64 (/.f64 (/.f64 1/9 (pow.f64 N 6)) (-.f64 (*.f64 1/3 (pow.f64 N -3)) (fma.f64 -1/2 (pow.f64 N -2) (*.f64 1/4 (pow.f64 N -4))))) (/.f64 (+.f64 (*.f64 1/4 (pow.f64 N -4)) (/.f64 1/16 (pow.f64 N 8))) (-.f64 (*.f64 1/3 (pow.f64 N -3)) (fma.f64 -1/2 (pow.f64 N -2) (*.f64 1/4 (pow.f64 N -4))))))
(*.f64 1 (fma.f64 1/3 (pow.f64 N -3) (fma.f64 -1/2 (pow.f64 N -2) (*.f64 1/4 (pow.f64 N -4)))))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 1/3 (pow.f64 N -3) (fma.f64 -1/2 (pow.f64 N -2) (*.f64 1/4 (pow.f64 N -4))))) 2) (cbrt.f64 (fma.f64 1/3 (pow.f64 N -3) (fma.f64 -1/2 (pow.f64 N -2) (*.f64 1/4 (pow.f64 N -4))))))
(*.f64 (sqrt.f64 (fma.f64 1/3 (pow.f64 N -3) (fma.f64 -1/2 (pow.f64 N -2) (*.f64 1/4 (pow.f64 N -4))))) (sqrt.f64 (fma.f64 1/3 (pow.f64 N -3) (fma.f64 -1/2 (pow.f64 N -2) (*.f64 1/4 (pow.f64 N -4))))))
(*.f64 (+.f64 (*.f64 1/27 (pow.f64 (pow.f64 N -3) 3)) (pow.f64 (fma.f64 -1/2 (pow.f64 N -2) (*.f64 1/4 (pow.f64 N -4))) 3)) (/.f64 1 (+.f64 (/.f64 1/9 (pow.f64 N 6)) (*.f64 (fma.f64 -1/2 (pow.f64 N -2) (*.f64 1/4 (pow.f64 N -4))) (-.f64 (fma.f64 -1/2 (pow.f64 N -2) (*.f64 1/4 (pow.f64 N -4))) (*.f64 1/3 (pow.f64 N -3)))))))
(*.f64 (-.f64 (/.f64 1/9 (pow.f64 N 6)) (+.f64 (*.f64 1/4 (pow.f64 N -4)) (/.f64 1/16 (pow.f64 N 8)))) (/.f64 1 (-.f64 (*.f64 1/3 (pow.f64 N -3)) (fma.f64 -1/2 (pow.f64 N -2) (*.f64 1/4 (pow.f64 N -4))))))
(/.f64 1 (/.f64 (+.f64 (/.f64 1/9 (pow.f64 N 6)) (*.f64 (fma.f64 -1/2 (pow.f64 N -2) (*.f64 1/4 (pow.f64 N -4))) (-.f64 (fma.f64 -1/2 (pow.f64 N -2) (*.f64 1/4 (pow.f64 N -4))) (*.f64 1/3 (pow.f64 N -3))))) (+.f64 (*.f64 1/27 (pow.f64 (pow.f64 N -3) 3)) (pow.f64 (fma.f64 -1/2 (pow.f64 N -2) (*.f64 1/4 (pow.f64 N -4))) 3))))
(/.f64 1 (/.f64 (-.f64 (*.f64 1/3 (pow.f64 N -3)) (fma.f64 -1/2 (pow.f64 N -2) (*.f64 1/4 (pow.f64 N -4)))) (-.f64 (/.f64 1/9 (pow.f64 N 6)) (+.f64 (*.f64 1/4 (pow.f64 N -4)) (/.f64 1/16 (pow.f64 N 8))))))
(/.f64 (+.f64 (*.f64 1/27 (pow.f64 (pow.f64 N -3) 3)) (pow.f64 (fma.f64 -1/2 (pow.f64 N -2) (*.f64 1/4 (pow.f64 N -4))) 3)) (+.f64 (/.f64 1/9 (pow.f64 N 6)) (*.f64 (fma.f64 -1/2 (pow.f64 N -2) (*.f64 1/4 (pow.f64 N -4))) (-.f64 (fma.f64 -1/2 (pow.f64 N -2) (*.f64 1/4 (pow.f64 N -4))) (*.f64 1/3 (pow.f64 N -3))))))
(/.f64 (-.f64 (/.f64 1/9 (pow.f64 N 6)) (+.f64 (*.f64 1/4 (pow.f64 N -4)) (/.f64 1/16 (pow.f64 N 8)))) (-.f64 (*.f64 1/3 (pow.f64 N -3)) (fma.f64 -1/2 (pow.f64 N -2) (*.f64 1/4 (pow.f64 N -4)))))
(/.f64 (+.f64 (*.f64 1/3 (pow.f64 N 6)) (*.f64 (pow.f64 N 3) (fma.f64 -1/2 (pow.f64 N 4) (neg.f64 (*.f64 (pow.f64 N 2) 1/4))))) (*.f64 (pow.f64 N 3) (pow.f64 N 6)))
(/.f64 (+.f64 (*.f64 1/3 (+.f64 (*.f64 1/4 (pow.f64 N -4)) (+.f64 (/.f64 1/16 (pow.f64 N 8)) (/.f64 -1/8 (pow.f64 N 6))))) (*.f64 (pow.f64 N 3) (-.f64 (/.f64 -1/8 (pow.f64 N 6)) (pow.f64 (*.f64 1/4 (pow.f64 N -4)) 3)))) (*.f64 (pow.f64 N 3) (+.f64 (*.f64 1/4 (pow.f64 N -4)) (+.f64 (/.f64 1/16 (pow.f64 N 8)) (/.f64 -1/8 (pow.f64 N 6))))))
(/.f64 (+.f64 (*.f64 1/3 (fma.f64 -1/2 (pow.f64 N -2) (*.f64 1/4 (pow.f64 N -4)))) (*.f64 (pow.f64 N 3) (+.f64 (*.f64 1/4 (pow.f64 N -4)) (/.f64 1/16 (pow.f64 N 8))))) (*.f64 (pow.f64 N 3) (fma.f64 -1/2 (pow.f64 N -2) (*.f64 1/4 (pow.f64 N -4)))))
(/.f64 (+.f64 (pow.f64 N 6) (*.f64 (*.f64 (pow.f64 N 3) 3) (fma.f64 -1/2 (pow.f64 N 4) (neg.f64 (*.f64 (pow.f64 N 2) 1/4))))) (*.f64 (*.f64 (pow.f64 N 3) 3) (pow.f64 N 6)))
(/.f64 (+.f64 (+.f64 (*.f64 1/4 (pow.f64 N -4)) (+.f64 (/.f64 1/16 (pow.f64 N 8)) (/.f64 -1/8 (pow.f64 N 6)))) (*.f64 (*.f64 (pow.f64 N 3) 3) (-.f64 (/.f64 -1/8 (pow.f64 N 6)) (pow.f64 (*.f64 1/4 (pow.f64 N -4)) 3)))) (*.f64 (*.f64 (pow.f64 N 3) 3) (+.f64 (*.f64 1/4 (pow.f64 N -4)) (+.f64 (/.f64 1/16 (pow.f64 N 8)) (/.f64 -1/8 (pow.f64 N 6))))))
(/.f64 (+.f64 (fma.f64 -1/2 (pow.f64 N -2) (*.f64 1/4 (pow.f64 N -4))) (*.f64 (*.f64 (pow.f64 N 3) 3) (+.f64 (*.f64 1/4 (pow.f64 N -4)) (/.f64 1/16 (pow.f64 N 8))))) (*.f64 (*.f64 (pow.f64 N 3) 3) (fma.f64 -1/2 (pow.f64 N -2) (*.f64 1/4 (pow.f64 N -4)))))
(/.f64 (+.f64 (*.f64 -1/3 (pow.f64 N 6)) (*.f64 (neg.f64 (pow.f64 N 3)) (fma.f64 -1/2 (pow.f64 N 4) (neg.f64 (*.f64 (pow.f64 N 2) 1/4))))) (*.f64 (neg.f64 (pow.f64 N 3)) (pow.f64 N 6)))
(/.f64 (+.f64 (*.f64 -1/3 (+.f64 (*.f64 1/4 (pow.f64 N -4)) (+.f64 (/.f64 1/16 (pow.f64 N 8)) (/.f64 -1/8 (pow.f64 N 6))))) (*.f64 (neg.f64 (pow.f64 N 3)) (-.f64 (/.f64 -1/8 (pow.f64 N 6)) (pow.f64 (*.f64 1/4 (pow.f64 N -4)) 3)))) (*.f64 (neg.f64 (pow.f64 N 3)) (+.f64 (*.f64 1/4 (pow.f64 N -4)) (+.f64 (/.f64 1/16 (pow.f64 N 8)) (/.f64 -1/8 (pow.f64 N 6))))))
(/.f64 (+.f64 (*.f64 -1/3 (fma.f64 -1/2 (pow.f64 N -2) (*.f64 1/4 (pow.f64 N -4)))) (*.f64 (neg.f64 (pow.f64 N 3)) (+.f64 (*.f64 1/4 (pow.f64 N -4)) (/.f64 1/16 (pow.f64 N 8))))) (*.f64 (neg.f64 (pow.f64 N 3)) (fma.f64 -1/2 (pow.f64 N -2) (*.f64 1/4 (pow.f64 N -4)))))
(/.f64 (+.f64 (*.f64 (fma.f64 -1/2 (pow.f64 N 4) (neg.f64 (*.f64 (pow.f64 N 2) 1/4))) (pow.f64 N 3)) (*.f64 (pow.f64 N 6) 1/3)) (pow.f64 (pow.f64 N 3) 3))
(/.f64 (+.f64 (*.f64 (fma.f64 -1/2 (pow.f64 N 4) (neg.f64 (*.f64 (pow.f64 N 2) 1/4))) (*.f64 (pow.f64 N 3) 3)) (*.f64 (pow.f64 N 6) 1)) (*.f64 (pow.f64 N 6) (*.f64 (pow.f64 N 3) 3)))
(/.f64 (+.f64 (*.f64 (fma.f64 -1/2 (pow.f64 N 4) (neg.f64 (*.f64 (pow.f64 N 2) 1/4))) (neg.f64 (pow.f64 N 3))) (*.f64 (pow.f64 N 6) -1/3)) (*.f64 (pow.f64 N 6) (neg.f64 (pow.f64 N 3))))
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(-.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) 2) (+.f64 (log1p.f64 N) (log.f64 N))) (/.f64 (pow.f64 (log.f64 N) 2) (+.f64 (log1p.f64 N) (log.f64 N))))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (log1p.f64 N) 2) (*.f64 (log.f64 N) (+.f64 (log.f64 N) (log1p.f64 N)))) (-.f64 (pow.f64 (log1p.f64 N) 3) (pow.f64 (log.f64 N) 3))))
(/.f64 1 (/.f64 (+.f64 (log1p.f64 N) (log.f64 N)) (-.f64 (pow.f64 (log1p.f64 N) 2) (pow.f64 (log.f64 N) 2))))
(/.f64 (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 2) (-.f64 (log1p.f64 N) (log.f64 N)))
(/.f64 (-.f64 (pow.f64 (log1p.f64 N) 3) (pow.f64 (log.f64 N) 3)) (+.f64 (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) (pow.f64 (log.f64 N) 2)) (+.f64 (log1p.f64 N) (log.f64 N)))
(/.f64 (*.f64 (-.f64 (log1p.f64 N) (log.f64 N)) (+.f64 (pow.f64 (log1p.f64 N) 3/2) (pow.f64 (log.f64 N) 3/2))) (*.f64 (+.f64 (sqrt.f64 (log1p.f64 N)) (sqrt.f64 (log.f64 N))) (+.f64 (log1p.f64 N) (-.f64 (log.f64 N) (sqrt.f64 (*.f64 (log1p.f64 N) (log.f64 N)))))))
(/.f64 (*.f64 (+.f64 (pow.f64 (log1p.f64 N) 3/2) (pow.f64 (log.f64 N) 3/2)) (-.f64 (log1p.f64 N) (log.f64 N))) (+.f64 (pow.f64 (log1p.f64 N) 3/2) (pow.f64 (log.f64 N) 3/2)))
(/.f64 (*.f64 (-.f64 (log1p.f64 N) (log.f64 N)) (-.f64 (pow.f64 (log1p.f64 N) 3/2) (pow.f64 (log.f64 N) 3/2))) (*.f64 (-.f64 (sqrt.f64 (log1p.f64 N)) (sqrt.f64 (log.f64 N))) (+.f64 (log1p.f64 N) (+.f64 (log.f64 N) (sqrt.f64 (*.f64 (log1p.f64 N) (log.f64 N)))))))
(/.f64 (*.f64 (-.f64 (pow.f64 (log1p.f64 N) 3/2) (pow.f64 (log.f64 N) 3/2)) (-.f64 (log1p.f64 N) (log.f64 N))) (-.f64 (pow.f64 (log1p.f64 N) 3/2) (pow.f64 (log.f64 N) 3/2)))
(/.f64 (*.f64 (-.f64 (pow.f64 (log1p.f64 N) 3/2) (pow.f64 (log.f64 N) 3/2)) (+.f64 (pow.f64 (log1p.f64 N) 3/2) (pow.f64 (log.f64 N) 3/2))) (*.f64 (+.f64 (log1p.f64 N) (+.f64 (log.f64 N) (sqrt.f64 (*.f64 (log1p.f64 N) (log.f64 N))))) (+.f64 (log1p.f64 N) (-.f64 (log.f64 N) (sqrt.f64 (*.f64 (log1p.f64 N) (log.f64 N)))))))
(/.f64 (*.f64 (+.f64 (pow.f64 (log1p.f64 N) 3/2) (pow.f64 (log.f64 N) 3/2)) (-.f64 (pow.f64 (log1p.f64 N) 3/2) (pow.f64 (log.f64 N) 3/2))) (*.f64 (+.f64 (log1p.f64 N) (-.f64 (log.f64 N) (sqrt.f64 (*.f64 (log1p.f64 N) (log.f64 N))))) (+.f64 (log1p.f64 N) (+.f64 (log.f64 N) (sqrt.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 (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 (log1p.f64 N) (log.f64 N))))
(/.f64 (+.f64 (pow.f64 (log1p.f64 N) 3) (pow.f64 (neg.f64 (log.f64 N)) 3)) (+.f64 (pow.f64 (log1p.f64 N) 2) (-.f64 (*.f64 (neg.f64 (log.f64 N)) (neg.f64 (log.f64 N))) (*.f64 (log1p.f64 N) (neg.f64 (log.f64 N))))))
(/.f64 (-.f64 (pow.f64 (log1p.f64 N) 2) (*.f64 (neg.f64 (log.f64 N)) (neg.f64 (log.f64 N)))) (-.f64 (log1p.f64 N) (neg.f64 (log.f64 N))))
(pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 1)
(pow.f64 (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)) 2) 1/2)
(pow.f64 (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 3) 1/3)
(sqrt.f64 (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 2))
(log.f64 (/.f64 (+.f64 1 N) N))
(log.f64 (+.f64 1 (-.f64 (/.f64 (+.f64 1 N) N) 1)))
(cbrt.f64 (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 3))
(cbrt.f64 (*.f64 (pow.f64 (-.f64 (sqrt.f64 (log1p.f64 N)) (sqrt.f64 (log.f64 N))) 3) (pow.f64 (+.f64 (sqrt.f64 (log1p.f64 N)) (sqrt.f64 (log.f64 N))) 3)))
(cbrt.f64 (*.f64 (pow.f64 (+.f64 (sqrt.f64 (log1p.f64 N)) (sqrt.f64 (log.f64 N))) 3) (pow.f64 (-.f64 (sqrt.f64 (log1p.f64 N)) (sqrt.f64 (log.f64 N))) 3)))
(expm1.f64 (log1p.f64 (-.f64 (log1p.f64 N) (log.f64 N))))
(exp.f64 (log.f64 (-.f64 (log1p.f64 N) (log.f64 N))))
(exp.f64 (*.f64 (log.f64 (-.f64 (log1p.f64 N) (log.f64 N))) 1))
(log1p.f64 (-.f64 (/.f64 (+.f64 1 N) 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 (log.f64 N)))) 1)
(*.f64 1 (sqrt.f64 (log.f64 N)))
(*.f64 (cbrt.f64 (log.f64 N)) (cbrt.f64 (sqrt.f64 (log.f64 N))))
(*.f64 (pow.f64 (log.f64 N) 1/4) (pow.f64 (log.f64 N) 1/4))
(*.f64 (pow.f64 1 1/2) (sqrt.f64 (log.f64 N)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (log.f64 N)) 2) 1/2) (pow.f64 (cbrt.f64 (log.f64 N)) 1/2))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (log.f64 N)) 2)) (sqrt.f64 (cbrt.f64 (log.f64 N))))
(pow.f64 (log.f64 N) 1/2)
(pow.f64 (sqrt.f64 (log.f64 N)) 1)
(pow.f64 (cbrt.f64 (sqrt.f64 (log.f64 N))) 3)
(pow.f64 (pow.f64 (log.f64 N) 1/4) 2)
(pow.f64 (pow.f64 (log.f64 N) 3/2) 1/3)
(fabs.f64 (sqrt.f64 (log.f64 N)))
(log.f64 (exp.f64 (sqrt.f64 (log.f64 N))))
(log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (log.f64 N)))))
(cbrt.f64 (pow.f64 (log.f64 N) 3/2))
(expm1.f64 (log1p.f64 (sqrt.f64 (log.f64 N))))
(exp.f64 (log.f64 (sqrt.f64 (log.f64 N))))
(exp.f64 (*.f64 (log.f64 (log.f64 N)) 1/2))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (log.f64 N))) 1))
(log1p.f64 (expm1.f64 (sqrt.f64 (log.f64 N))))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (log1p.f64 N)))) 1)
(*.f64 1 (sqrt.f64 (log1p.f64 N)))
(*.f64 (cbrt.f64 (log1p.f64 N)) (cbrt.f64 (sqrt.f64 (log1p.f64 N))))
(*.f64 (pow.f64 (log1p.f64 N) 1/4) (pow.f64 (log1p.f64 N) 1/4))
(*.f64 (pow.f64 1 1/2) (sqrt.f64 (log1p.f64 N)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (log1p.f64 N)) 2) 1/2) (pow.f64 (cbrt.f64 (log1p.f64 N)) 1/2))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (log1p.f64 N)) 2)) (sqrt.f64 (cbrt.f64 (log1p.f64 N))))
(pow.f64 (log1p.f64 N) 1/2)
(pow.f64 (sqrt.f64 (log1p.f64 N)) 1)
(pow.f64 (cbrt.f64 (sqrt.f64 (log1p.f64 N))) 3)
(pow.f64 (pow.f64 (log1p.f64 N) 1/4) 2)
(pow.f64 (pow.f64 (log1p.f64 N) 3/2) 1/3)
(fabs.f64 (sqrt.f64 (log1p.f64 N)))
(log.f64 (exp.f64 (sqrt.f64 (log1p.f64 N))))
(log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (log1p.f64 N)))))
(cbrt.f64 (pow.f64 (log1p.f64 N) 3/2))
(expm1.f64 (log1p.f64 (sqrt.f64 (log1p.f64 N))))
(exp.f64 (log.f64 (sqrt.f64 (log1p.f64 N))))
(exp.f64 (*.f64 (log.f64 (log1p.f64 N)) 1/2))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (log1p.f64 N))) 1))
(log1p.f64 (expm1.f64 (sqrt.f64 (log1p.f64 N))))

simplify309.0ms (3.5%)

Algorithm
1×egg-herbie
Rules
896×times-frac
748×distribute-rgt-in
734×distribute-lft-in
506×*-commutative
416×sqr-pow
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0128042292
1350040210
Stop Event
1×node limit
Counts
688 → 753
Calls
Call 1
Inputs
(/.f64 -1/4 (pow.f64 N 4))
(-.f64 (*.f64 1/3 (/.f64 1 (pow.f64 N 3))) (*.f64 1/4 (/.f64 1 (pow.f64 N 4))))
(-.f64 (*.f64 1/3 (/.f64 1 (pow.f64 N 3))) (+.f64 (*.f64 1/2 (/.f64 1 (pow.f64 N 2))) (*.f64 1/4 (/.f64 1 (pow.f64 N 4)))))
(-.f64 (*.f64 1/3 (/.f64 1 (pow.f64 N 3))) (+.f64 (*.f64 1/2 (/.f64 1 (pow.f64 N 2))) (*.f64 1/4 (/.f64 1 (pow.f64 N 4)))))
(/.f64 -1/2 (pow.f64 N 2))
(-.f64 (*.f64 1/3 (/.f64 1 (pow.f64 N 3))) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (*.f64 1/3 (/.f64 1 (pow.f64 N 3))) (+.f64 (*.f64 1/4 (/.f64 1 (pow.f64 N 4))) (*.f64 1/2 (/.f64 1 (pow.f64 N 2)))))
(-.f64 (*.f64 1/3 (/.f64 1 (pow.f64 N 3))) (+.f64 (*.f64 1/4 (/.f64 1 (pow.f64 N 4))) (*.f64 1/2 (/.f64 1 (pow.f64 N 2)))))
(/.f64 -1/2 (pow.f64 N 2))
(-.f64 (*.f64 1/3 (/.f64 1 (pow.f64 N 3))) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (*.f64 1/3 (/.f64 1 (pow.f64 N 3))) (+.f64 (*.f64 1/4 (/.f64 1 (pow.f64 N 4))) (*.f64 1/2 (/.f64 1 (pow.f64 N 2)))))
(-.f64 (*.f64 1/3 (/.f64 1 (pow.f64 N 3))) (+.f64 (*.f64 1/4 (/.f64 1 (pow.f64 N 4))) (*.f64 1/2 (/.f64 1 (pow.f64 N 2)))))
(/.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 -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 (log.f64 N) (pow.f64 (sqrt.f64 -1) 2))
(+.f64 N (*.f64 (log.f64 N) (pow.f64 (sqrt.f64 -1) 2)))
(+.f64 N (+.f64 (*.f64 (log.f64 N) (pow.f64 (sqrt.f64 -1) 2)) (*.f64 (pow.f64 N 2) (+.f64 (*.f64 -1 (+.f64 1/2 (pow.f64 (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (log.f64 N))) (/.f64 1 (sqrt.f64 -1)))) 2))) (*.f64 1/4 (/.f64 1 (*.f64 (log.f64 N) (pow.f64 (sqrt.f64 -1) 2))))))))
(+.f64 N (+.f64 (*.f64 1/3 (pow.f64 N 3)) (+.f64 (*.f64 (log.f64 N) (pow.f64 (sqrt.f64 -1) 2)) (*.f64 (pow.f64 N 2) (+.f64 (*.f64 -1 (+.f64 1/2 (pow.f64 (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (log.f64 N))) (/.f64 1 (sqrt.f64 -1)))) 2))) (*.f64 1/4 (/.f64 1 (*.f64 (log.f64 N) (pow.f64 (sqrt.f64 -1) 2)))))))))
(*.f64 (sqrt.f64 (log.f64 N)) (sqrt.f64 -1))
(+.f64 (*.f64 1/2 (*.f64 (/.f64 N (sqrt.f64 -1)) (sqrt.f64 (/.f64 1 (log.f64 N))))) (*.f64 (sqrt.f64 (log.f64 N)) (sqrt.f64 -1)))
(+.f64 (*.f64 -1/2 (*.f64 (/.f64 (*.f64 (pow.f64 N 2) (+.f64 1/2 (pow.f64 (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (log.f64 N))) (/.f64 1 (sqrt.f64 -1)))) 2))) (sqrt.f64 -1)) (sqrt.f64 (/.f64 1 (log.f64 N))))) (+.f64 (*.f64 1/2 (*.f64 (/.f64 N (sqrt.f64 -1)) (sqrt.f64 (/.f64 1 (log.f64 N))))) (*.f64 (sqrt.f64 (log.f64 N)) (sqrt.f64 -1))))
(+.f64 (*.f64 -1/2 (*.f64 (/.f64 (*.f64 (pow.f64 N 2) (+.f64 1/2 (pow.f64 (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (log.f64 N))) (/.f64 1 (sqrt.f64 -1)))) 2))) (sqrt.f64 -1)) (sqrt.f64 (/.f64 1 (log.f64 N))))) (+.f64 (*.f64 1/2 (*.f64 (/.f64 N (sqrt.f64 -1)) (sqrt.f64 (/.f64 1 (log.f64 N))))) (+.f64 (*.f64 1/2 (*.f64 (/.f64 (*.f64 (pow.f64 N 3) (-.f64 1/3 (*.f64 -1/2 (/.f64 (+.f64 1/2 (pow.f64 (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (log.f64 N))) (/.f64 1 (sqrt.f64 -1)))) 2)) (*.f64 (log.f64 N) (pow.f64 (sqrt.f64 -1) 2)))))) (sqrt.f64 -1)) (sqrt.f64 (/.f64 1 (log.f64 N))))) (*.f64 (sqrt.f64 (log.f64 N)) (sqrt.f64 -1)))))
(*.f64 -1 (sqrt.f64 (log.f64 N)))
(*.f64 1/2 (*.f64 (/.f64 1 (*.f64 N (sqrt.f64 -1))) (sqrt.f64 (/.f64 1 (log.f64 (/.f64 1 N))))))
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(pow.f64 (pow.f64 (log.f64 N) 3/2) 1/3)
(fabs.f64 (sqrt.f64 (log.f64 N)))
(log.f64 (exp.f64 (sqrt.f64 (log.f64 N))))
(log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (log.f64 N)))))
(cbrt.f64 (pow.f64 (log.f64 N) 3/2))
(expm1.f64 (log1p.f64 (sqrt.f64 (log.f64 N))))
(exp.f64 (log.f64 (sqrt.f64 (log.f64 N))))
(exp.f64 (*.f64 (log.f64 (log.f64 N)) 1/2))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (log.f64 N))) 1))
(log1p.f64 (expm1.f64 (sqrt.f64 (log.f64 N))))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (log1p.f64 N)))) 1)
(*.f64 1 (sqrt.f64 (log1p.f64 N)))
(*.f64 (cbrt.f64 (log1p.f64 N)) (cbrt.f64 (sqrt.f64 (log1p.f64 N))))
(*.f64 (pow.f64 (log1p.f64 N) 1/4) (pow.f64 (log1p.f64 N) 1/4))
(*.f64 (pow.f64 1 1/2) (sqrt.f64 (log1p.f64 N)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (log1p.f64 N)) 2) 1/2) (pow.f64 (cbrt.f64 (log1p.f64 N)) 1/2))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (log1p.f64 N)) 2)) (sqrt.f64 (cbrt.f64 (log1p.f64 N))))
(pow.f64 (log1p.f64 N) 1/2)
(pow.f64 (sqrt.f64 (log1p.f64 N)) 1)
(pow.f64 (cbrt.f64 (sqrt.f64 (log1p.f64 N))) 3)
(pow.f64 (pow.f64 (log1p.f64 N) 1/4) 2)
(pow.f64 (pow.f64 (log1p.f64 N) 3/2) 1/3)
(fabs.f64 (sqrt.f64 (log1p.f64 N)))
(log.f64 (exp.f64 (sqrt.f64 (log1p.f64 N))))
(log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (log1p.f64 N)))))
(cbrt.f64 (pow.f64 (log1p.f64 N) 3/2))
(expm1.f64 (log1p.f64 (sqrt.f64 (log1p.f64 N))))
(exp.f64 (log.f64 (sqrt.f64 (log1p.f64 N))))
(exp.f64 (*.f64 (log.f64 (log1p.f64 N)) 1/2))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (log1p.f64 N))) 1))
(log1p.f64 (expm1.f64 (sqrt.f64 (log1p.f64 N))))
Outputs
(/.f64 -1/4 (pow.f64 N 4))
(-.f64 (*.f64 1/3 (/.f64 1 (pow.f64 N 3))) (*.f64 1/4 (/.f64 1 (pow.f64 N 4))))
(-.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 1/4 (pow.f64 N 4)))
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 -1/4 (pow.f64 N 4)))
(-.f64 (*.f64 1/3 (/.f64 1 (pow.f64 N 3))) (+.f64 (*.f64 1/2 (/.f64 1 (pow.f64 N 2))) (*.f64 1/4 (/.f64 1 (pow.f64 N 4)))))
(-.f64 (/.f64 1/3 (pow.f64 N 3)) (+.f64 (/.f64 1/4 (pow.f64 N 4)) (/.f64 1/2 (pow.f64 N 2))))
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (+.f64 (/.f64 -1/2 (pow.f64 N 2)) (/.f64 -1/4 (pow.f64 N 4))))
(-.f64 (*.f64 1/3 (/.f64 1 (pow.f64 N 3))) (+.f64 (*.f64 1/2 (/.f64 1 (pow.f64 N 2))) (*.f64 1/4 (/.f64 1 (pow.f64 N 4)))))
(-.f64 (/.f64 1/3 (pow.f64 N 3)) (+.f64 (/.f64 1/4 (pow.f64 N 4)) (/.f64 1/2 (pow.f64 N 2))))
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (+.f64 (/.f64 -1/2 (pow.f64 N 2)) (/.f64 -1/4 (pow.f64 N 4))))
(/.f64 -1/2 (pow.f64 N 2))
(-.f64 (*.f64 1/3 (/.f64 1 (pow.f64 N 3))) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 1/2 (pow.f64 N 2)))
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 -1/2 (pow.f64 N 2)))
(-.f64 (*.f64 1/3 (/.f64 1 (pow.f64 N 3))) (+.f64 (*.f64 1/4 (/.f64 1 (pow.f64 N 4))) (*.f64 1/2 (/.f64 1 (pow.f64 N 2)))))
(-.f64 (/.f64 1/3 (pow.f64 N 3)) (+.f64 (/.f64 1/4 (pow.f64 N 4)) (/.f64 1/2 (pow.f64 N 2))))
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (+.f64 (/.f64 -1/2 (pow.f64 N 2)) (/.f64 -1/4 (pow.f64 N 4))))
(-.f64 (*.f64 1/3 (/.f64 1 (pow.f64 N 3))) (+.f64 (*.f64 1/4 (/.f64 1 (pow.f64 N 4))) (*.f64 1/2 (/.f64 1 (pow.f64 N 2)))))
(-.f64 (/.f64 1/3 (pow.f64 N 3)) (+.f64 (/.f64 1/4 (pow.f64 N 4)) (/.f64 1/2 (pow.f64 N 2))))
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (+.f64 (/.f64 -1/2 (pow.f64 N 2)) (/.f64 -1/4 (pow.f64 N 4))))
(/.f64 -1/2 (pow.f64 N 2))
(-.f64 (*.f64 1/3 (/.f64 1 (pow.f64 N 3))) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 1/2 (pow.f64 N 2)))
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 -1/2 (pow.f64 N 2)))
(-.f64 (*.f64 1/3 (/.f64 1 (pow.f64 N 3))) (+.f64 (*.f64 1/4 (/.f64 1 (pow.f64 N 4))) (*.f64 1/2 (/.f64 1 (pow.f64 N 2)))))
(-.f64 (/.f64 1/3 (pow.f64 N 3)) (+.f64 (/.f64 1/4 (pow.f64 N 4)) (/.f64 1/2 (pow.f64 N 2))))
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (+.f64 (/.f64 -1/2 (pow.f64 N 2)) (/.f64 -1/4 (pow.f64 N 4))))
(-.f64 (*.f64 1/3 (/.f64 1 (pow.f64 N 3))) (+.f64 (*.f64 1/4 (/.f64 1 (pow.f64 N 4))) (*.f64 1/2 (/.f64 1 (pow.f64 N 2)))))
(-.f64 (/.f64 1/3 (pow.f64 N 3)) (+.f64 (/.f64 1/4 (pow.f64 N 4)) (/.f64 1/2 (pow.f64 N 2))))
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (+.f64 (/.f64 -1/2 (pow.f64 N 2)) (/.f64 -1/4 (pow.f64 N 4))))
(/.f64 -1/2 (pow.f64 N 2))
(-.f64 (/.f64 1 N) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (/.f64 1 N) (/.f64 1/2 (pow.f64 N 2)))
(+.f64 (/.f64 1 N) (/.f64 -1/2 (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 1/3 (pow.f64 N 3)) (/.f64 1 N)) (/.f64 1/2 (pow.f64 N 2)))
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (+.f64 (/.f64 1 N) (/.f64 -1/2 (pow.f64 N 2))))
(-.f64 (+.f64 (/.f64 1 N) (*.f64 1/3 (/.f64 1 (pow.f64 N 3)))) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (+.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 1 N)) (/.f64 1/2 (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 1/3 (pow.f64 N 3)) (/.f64 1 N)) (/.f64 1/2 (pow.f64 N 2)))
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (+.f64 (/.f64 1 N) (/.f64 -1/2 (pow.f64 N 2))))
(-.f64 (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 N 3))) (/.f64 1 N)) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (+.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 1 N)) (/.f64 1/2 (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 1/3 (pow.f64 N 3)) (/.f64 1 N)) (/.f64 1/2 (pow.f64 N 2)))
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (+.f64 (/.f64 1 N) (/.f64 -1/2 (pow.f64 N 2))))
(-.f64 (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 N 3))) (/.f64 1 N)) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (+.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 1 N)) (/.f64 1/2 (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 (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 (pow.f64 N 2) -1/2)))
(+.f64 N (-.f64 (*.f64 (pow.f64 N 2) -1/2) (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 (/.f64 1/3 (pow.f64 N 3)) (/.f64 1 N)) (/.f64 1/2 (pow.f64 N 2)))
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (+.f64 (/.f64 1 N) (/.f64 -1/2 (pow.f64 N 2))))
(-.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 (+.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 1 N)) (/.f64 1/4 (pow.f64 N 4))) (/.f64 1/2 (pow.f64 N 2)))
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (+.f64 (/.f64 1 N) (+.f64 (/.f64 -1/2 (pow.f64 N 2)) (/.f64 -1/4 (pow.f64 N 4)))))
(/.f64 1 N)
(-.f64 (/.f64 1 N) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (/.f64 1 N) (/.f64 1/2 (pow.f64 N 2)))
(+.f64 (/.f64 1 N) (/.f64 -1/2 (pow.f64 N 2)))
(-.f64 (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 N 3))) (/.f64 1 N)) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (+.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 1 N)) (/.f64 1/2 (pow.f64 N 2)))
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (+.f64 (/.f64 1 N) (/.f64 -1/2 (pow.f64 N 2))))
(-.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 (+.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 1 N)) (/.f64 1/4 (pow.f64 N 4))) (/.f64 1/2 (pow.f64 N 2)))
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (+.f64 (/.f64 1 N) (+.f64 (/.f64 -1/2 (pow.f64 N 2)) (/.f64 -1/4 (pow.f64 N 4)))))
(*.f64 (log.f64 N) (pow.f64 (sqrt.f64 -1) 2))
(neg.f64 (log.f64 N))
(+.f64 N (*.f64 (log.f64 N) (pow.f64 (sqrt.f64 -1) 2)))
(+.f64 N (neg.f64 (log.f64 N)))
(-.f64 N (log.f64 N))
(+.f64 N (+.f64 (*.f64 (log.f64 N) (pow.f64 (sqrt.f64 -1) 2)) (*.f64 (pow.f64 N 2) (+.f64 (*.f64 -1 (+.f64 1/2 (pow.f64 (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (log.f64 N))) (/.f64 1 (sqrt.f64 -1)))) 2))) (*.f64 1/4 (/.f64 1 (*.f64 (log.f64 N) (pow.f64 (sqrt.f64 -1) 2))))))))
(+.f64 N (fma.f64 (log.f64 N) (pow.f64 (sqrt.f64 -1) 2) (*.f64 (pow.f64 N 2) (fma.f64 -1 (+.f64 1/2 (pow.f64 (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (log.f64 N))) (/.f64 1 (sqrt.f64 -1)))) 2)) (/.f64 1/4 (*.f64 (log.f64 N) (pow.f64 (sqrt.f64 -1) 2)))))))
(+.f64 (-.f64 N (log.f64 N)) (*.f64 (pow.f64 N 2) (-.f64 (/.f64 1/4 (neg.f64 (log.f64 N))) (+.f64 1/2 (pow.f64 (*.f64 1/2 (/.f64 (sqrt.f64 (/.f64 1 (log.f64 N))) (sqrt.f64 -1))) 2)))))
(+.f64 N (+.f64 (*.f64 1/3 (pow.f64 N 3)) (+.f64 (*.f64 (log.f64 N) (pow.f64 (sqrt.f64 -1) 2)) (*.f64 (pow.f64 N 2) (+.f64 (*.f64 -1 (+.f64 1/2 (pow.f64 (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (log.f64 N))) (/.f64 1 (sqrt.f64 -1)))) 2))) (*.f64 1/4 (/.f64 1 (*.f64 (log.f64 N) (pow.f64 (sqrt.f64 -1) 2)))))))))
(+.f64 N (fma.f64 1/3 (pow.f64 N 3) (fma.f64 (log.f64 N) (pow.f64 (sqrt.f64 -1) 2) (*.f64 (pow.f64 N 2) (fma.f64 -1 (+.f64 1/2 (pow.f64 (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (log.f64 N))) (/.f64 1 (sqrt.f64 -1)))) 2)) (/.f64 1/4 (*.f64 (log.f64 N) (pow.f64 (sqrt.f64 -1) 2))))))))
(+.f64 N (fma.f64 1/3 (pow.f64 N 3) (fma.f64 (log.f64 N) -1 (*.f64 (pow.f64 N 2) (-.f64 (/.f64 1/4 (neg.f64 (log.f64 N))) (+.f64 1/2 (pow.f64 (*.f64 1/2 (/.f64 (sqrt.f64 (/.f64 1 (log.f64 N))) (sqrt.f64 -1))) 2)))))))
(*.f64 (sqrt.f64 (log.f64 N)) (sqrt.f64 -1))
(*.f64 (sqrt.f64 -1) (sqrt.f64 (log.f64 N)))
(+.f64 (*.f64 1/2 (*.f64 (/.f64 N (sqrt.f64 -1)) (sqrt.f64 (/.f64 1 (log.f64 N))))) (*.f64 (sqrt.f64 (log.f64 N)) (sqrt.f64 -1)))
(fma.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (log.f64 N))) (/.f64 N (sqrt.f64 -1))) (*.f64 (sqrt.f64 -1) (sqrt.f64 (log.f64 N))))
(+.f64 (*.f64 -1/2 (*.f64 (/.f64 (*.f64 (pow.f64 N 2) (+.f64 1/2 (pow.f64 (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (log.f64 N))) (/.f64 1 (sqrt.f64 -1)))) 2))) (sqrt.f64 -1)) (sqrt.f64 (/.f64 1 (log.f64 N))))) (+.f64 (*.f64 1/2 (*.f64 (/.f64 N (sqrt.f64 -1)) (sqrt.f64 (/.f64 1 (log.f64 N))))) (*.f64 (sqrt.f64 (log.f64 N)) (sqrt.f64 -1))))
(fma.f64 -1/2 (*.f64 (sqrt.f64 (/.f64 1 (log.f64 N))) (/.f64 (*.f64 (pow.f64 N 2) (+.f64 1/2 (pow.f64 (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (log.f64 N))) (/.f64 1 (sqrt.f64 -1)))) 2))) (sqrt.f64 -1))) (fma.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (log.f64 N))) (/.f64 N (sqrt.f64 -1))) (*.f64 (sqrt.f64 -1) (sqrt.f64 (log.f64 N)))))
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(sqrt.f64 (log1p.f64 N))
(pow.f64 (sqrt.f64 (log1p.f64 N)) 1)
(sqrt.f64 (log1p.f64 N))
(pow.f64 (cbrt.f64 (sqrt.f64 (log1p.f64 N))) 3)
(sqrt.f64 (log1p.f64 N))
(pow.f64 (pow.f64 (log1p.f64 N) 1/4) 2)
(sqrt.f64 (log1p.f64 N))
(pow.f64 (pow.f64 (log1p.f64 N) 3/2) 1/3)
(cbrt.f64 (pow.f64 (log1p.f64 N) 3/2))
(fabs.f64 (sqrt.f64 (log1p.f64 N)))
(sqrt.f64 (log1p.f64 N))
(log.f64 (exp.f64 (sqrt.f64 (log1p.f64 N))))
(sqrt.f64 (log1p.f64 N))
(log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (log1p.f64 N)))))
(sqrt.f64 (log1p.f64 N))
(cbrt.f64 (pow.f64 (log1p.f64 N) 3/2))
(expm1.f64 (log1p.f64 (sqrt.f64 (log1p.f64 N))))
(sqrt.f64 (log1p.f64 N))
(exp.f64 (log.f64 (sqrt.f64 (log1p.f64 N))))
(sqrt.f64 (log1p.f64 N))
(exp.f64 (*.f64 (log.f64 (log1p.f64 N)) 1/2))
(sqrt.f64 (log1p.f64 N))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (log1p.f64 N))) 1))
(sqrt.f64 (log1p.f64 N))
(log1p.f64 (expm1.f64 (sqrt.f64 (log1p.f64 N))))
(sqrt.f64 (log1p.f64 N))

eval809.0ms (9.1%)

Compiler

Compiled 27272 to 18740 computations (31.3% saved)

prune412.0ms (4.6%)

Pruning

33 alts after pruning (27 fresh and 6 done)

PrunedKeptTotal
New83115846
Fresh71219
Picked055
Done011
Total83833871
Accuracy
99.7%
Counts
871 → 33
Alt Table
Click to see full alt table
StatusAccuracyProgram
25.2%
(fma.f64 (sqrt.f64 (log.f64 N)) (neg.f64 (sqrt.f64 (log.f64 N))) (log1p.f64 N))
23.5%
(pow.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (-.f64 (log1p.f64 N) (log.f64 N)))) 3) 2)
23.6%
(pow.f64 (-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))))) 1) 2)
✓23.6%
(pow.f64 (sqrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))) 2)
94.9%
(pow.f64 (sqrt.f64 (+.f64 (/.f64 1/3 (pow.f64 N 3)) (+.f64 (/.f64 1 N) (+.f64 (/.f64 -1/2 (pow.f64 N 2)) (/.f64 -1/4 (pow.f64 N 4)))))) 2)
24.7%
(pow.f64 (sqrt.f64 (+.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)))) 2)
23.6%
(pow.f64 (log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (-.f64 (log1p.f64 N) (log.f64 N)))))) 2)
23.6%
(pow.f64 (cbrt.f64 (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 3/2)) 2)
94.0%
(/.f64 (-.f64 (*.f64 (pow.f64 N 3) -1/3) (*.f64 (pow.f64 N 4) (+.f64 N -1/2))) (neg.f64 (pow.f64 N 6)))
✓84.5%
(/.f64 1 N)
92.0%
(-.f64 (/.f64 1 N) (/.f64 1/2 (pow.f64 N 2)))
✓23.6%
(-.f64 (log1p.f64 N) (log.f64 N))
▶95.6%
(+.f64 (/.f64 1 N) (/.f64 (-.f64 (/.f64 1/9 (pow.f64 N 6)) (+.f64 (*.f64 1/4 (pow.f64 N -4)) (/.f64 1/16 (pow.f64 N 8)))) (-.f64 (*.f64 1/3 (pow.f64 N -3)) (fma.f64 -1/2 (pow.f64 N -2) (*.f64 1/4 (pow.f64 N -4))))))
✓95.5%
(+.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)))))
▶89.5%
(+.f64 (/.f64 1 N) (+.f64 (/.f64 1/3 (pow.f64 N 3)) (-.f64 (log.f64 (+.f64 1 (expm1.f64 (*.f64 -1/2 (pow.f64 N -2))))) (/.f64 1/4 (pow.f64 N 4)))))
92.6%
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (pow.f64 (/.f64 (cbrt.f64 (*.f64 N (-.f64 N 1/2))) N) 3))
94.1%
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 N (/.f64 (pow.f64 N 3) (+.f64 N -1/2))))
94.2%
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 1 (/.f64 (pow.f64 N 3) (*.f64 N (-.f64 N 1/2)))))
✓94.4%
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (-.f64 (/.f64 1 N) (/.f64 1/2 (pow.f64 N 2))))
95.5%
(+.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)))))
▶95.5%
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (-.f64 (-.f64 (/.f64 1 N) (/.f64 1/4 (pow.f64 N 4))) (/.f64 1/2 (pow.f64 N 2))))
▶94.1%
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (*.f64 (*.f64 N (-.f64 N 1/2)) (pow.f64 N -3)))
94.1%
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (*.f64 N (*.f64 (+.f64 N -1/2) (pow.f64 N -3))))
24.3%
(+.f64 (*.f64 -1/2 (log.f64 N)) (log.f64 (/.f64 (+.f64 N 1) (sqrt.f64 N))))
25.0%
(+.f64 (log.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 N 1)) 2) (sqrt.f64 N))) (log.f64 (/.f64 (cbrt.f64 (+.f64 N 1)) (sqrt.f64 N))))
24.6%
(+.f64 (log.f64 (*.f64 (cbrt.f64 (/.f64 (+.f64 N 1) N)) (cbrt.f64 (/.f64 (+.f64 N 1) N)))) (log.f64 (cbrt.f64 (/.f64 (+.f64 N 1) N))))
✓22.7%
(*.f64 (+.f64 (sqrt.f64 (log1p.f64 N)) (sqrt.f64 (log.f64 N))) (-.f64 (sqrt.f64 (log1p.f64 N)) (sqrt.f64 (log.f64 N))))
22.7%
(*.f64 (+.f64 (sqrt.f64 (log1p.f64 N)) (sqrt.f64 (log.f64 N))) (cbrt.f64 (pow.f64 (-.f64 (sqrt.f64 (log1p.f64 N)) (sqrt.f64 (log.f64 N))) 3)))
25.5%
(*.f64 2 (log.f64 (sqrt.f64 (/.f64 (+.f64 N 1) N))))
26.7%
(neg.f64 (log.f64 (/.f64 N (+.f64 N 1))))
26.1%
(log.f64 (/.f64 (+.f64 N 1) N))
▶26.1%
(log.f64 (+.f64 1 (/.f64 1 N)))
23.6%
(exp.f64 (log.f64 (-.f64 (log1p.f64 N) (log.f64 N))))
Compiler

Compiled 955 to 731 computations (23.5% saved)

localize1.1s (11.9%)

Localize:

Found 18 expressions with local error:

NewAccuracyProgram
✓99.8%
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (-.f64 (log.f64 (+.f64 1 (expm1.f64 (*.f64 -1/2 (pow.f64 N -2))))) (/.f64 1/4 (pow.f64 N 4))))
99.7%
(/.f64 1/4 (pow.f64 N 4))
99.3%
(/.f64 1/3 (pow.f64 N 3))
✓15.6%
(log.f64 (+.f64 1 (expm1.f64 (*.f64 -1/2 (pow.f64 N -2)))))
✓99.9%
(-.f64 (-.f64 (/.f64 1 N) (/.f64 1/4 (pow.f64 N 4))) (/.f64 1/2 (pow.f64 N 2)))
✓99.7%
(/.f64 1/2 (pow.f64 N 2))
99.7%
(/.f64 1/4 (pow.f64 N 4))
99.3%
(/.f64 1/3 (pow.f64 N 3))
✓100.0%
(*.f64 N (-.f64 N 1/2))
✓99.9%
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (*.f64 (*.f64 N (-.f64 N 1/2)) (pow.f64 N -3)))
✓99.5%
(*.f64 (*.f64 N (-.f64 N 1/2)) (pow.f64 N -3))
99.3%
(/.f64 1/3 (pow.f64 N 3))
✓100.0%
(+.f64 1 (/.f64 1 N))
✓26.1%
(log.f64 (+.f64 1 (/.f64 1 N)))
✓99.4%
(*.f64 1/3 (pow.f64 N -3))
✓99.4%
(/.f64 1/9 (pow.f64 N 6))
✓99.3%
(/.f64 (-.f64 (/.f64 1/9 (pow.f64 N 6)) (+.f64 (*.f64 1/4 (pow.f64 N -4)) (/.f64 1/16 (pow.f64 N 8)))) (-.f64 (*.f64 1/3 (pow.f64 N -3)) (fma.f64 -1/2 (pow.f64 N -2) (*.f64 1/4 (pow.f64 N -4)))))
✓98.0%
(/.f64 1/16 (pow.f64 N 8))
Compiler

Compiled 441 to 352 computations (20.2% saved)

series75.0ms (0.8%)

Counts
13 → 111
Calls

39 calls:

TimeVariablePointExpression
51.0ms
N
@inf
(log.f64 (+.f64 1 (expm1.f64 (*.f64 -1/2 (pow.f64 N -2)))))
15.0ms
N
@0
(log.f64 (+.f64 1 (expm1.f64 (*.f64 -1/2 (pow.f64 N -2)))))
1.0ms
N
@0
(/.f64 1/16 (pow.f64 N 8))
1.0ms
N
@0
(/.f64 1/9 (pow.f64 N 6))
1.0ms
N
@0
(/.f64 (-.f64 (/.f64 1/9 (pow.f64 N 6)) (+.f64 (*.f64 1/4 (pow.f64 N -4)) (/.f64 1/16 (pow.f64 N 8)))) (-.f64 (*.f64 1/3 (pow.f64 N -3)) (fma.f64 -1/2 (pow.f64 N -2) (*.f64 1/4 (pow.f64 N -4)))))

rewrite123.0ms (1.4%)

Algorithm
1×batch-egg-rewrite
Rules
424×log1p-expm1-u
423×expm1-log1p-u
399×add-cube-cbrt
398×add-exp-log
397×pow1
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
057441
1938429
Stop Event
1×node limit
Counts
13 → 258
Calls
Call 1
Inputs
(/.f64 1/16 (pow.f64 N 8))
(/.f64 (-.f64 (/.f64 1/9 (pow.f64 N 6)) (+.f64 (*.f64 1/4 (pow.f64 N -4)) (/.f64 1/16 (pow.f64 N 8)))) (-.f64 (*.f64 1/3 (pow.f64 N -3)) (fma.f64 -1/2 (pow.f64 N -2) (*.f64 1/4 (pow.f64 N -4)))))
(/.f64 1/9 (pow.f64 N 6))
(*.f64 1/3 (pow.f64 N -3))
(log.f64 (+.f64 1 (/.f64 1 N)))
(+.f64 1 (/.f64 1 N))
(*.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))
(/.f64 1/2 (pow.f64 N 2))
(-.f64 (-.f64 (/.f64 1 N) (/.f64 1/4 (pow.f64 N 4))) (/.f64 1/2 (pow.f64 N 2)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 -1/2 (pow.f64 N -2)))))
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (-.f64 (log.f64 (+.f64 1 (expm1.f64 (*.f64 -1/2 (pow.f64 N -2))))) (/.f64 1/4 (pow.f64 N 4))))
Outputs
(-.f64 (exp.f64 (log1p.f64 (*.f64 1/16 (pow.f64 N -8)))) 1)
(*.f64 1/16 (pow.f64 N -8))
(*.f64 1 (*.f64 1/16 (pow.f64 N -8)))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 1/16 (pow.f64 N -8))) 2) (cbrt.f64 (*.f64 1/16 (pow.f64 N -8))))
(*.f64 (sqrt.f64 (*.f64 1/16 (pow.f64 N -8))) (sqrt.f64 (*.f64 1/16 (pow.f64 N -8))))
(pow.f64 (*.f64 1/16 (pow.f64 N -8)) 1)
(pow.f64 (cbrt.f64 (*.f64 1/16 (pow.f64 N -8))) 3)
(pow.f64 (pow.f64 (*.f64 1/16 (pow.f64 N -8)) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 1/16 (pow.f64 N -8))) 2)
(pow.f64 (/.f64 (pow.f64 N 8) 1/16) -1)
(log.f64 (pow.f64 (exp.f64 1/16) (pow.f64 N -8)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 1/16 (pow.f64 N -8)))))
(cbrt.f64 (pow.f64 (*.f64 1/16 (pow.f64 N -8)) 3))
(expm1.f64 (log1p.f64 (*.f64 1/16 (pow.f64 N -8))))
(exp.f64 (log.f64 (*.f64 1/16 (pow.f64 N -8))))
(exp.f64 (*.f64 (log.f64 (*.f64 1/16 (pow.f64 N -8))) 1))
(log1p.f64 (expm1.f64 (*.f64 1/16 (pow.f64 N -8))))
(-.f64 (/.f64 (*.f64 1/9 (pow.f64 N -6)) (-.f64 (*.f64 1/3 (pow.f64 N -3)) (fma.f64 -1/2 (pow.f64 N -2) (*.f64 1/4 (pow.f64 N -4))))) (/.f64 (fma.f64 1/16 (pow.f64 N -8) (*.f64 1/4 (pow.f64 N -4))) (-.f64 (*.f64 1/3 (pow.f64 N -3)) (fma.f64 -1/2 (pow.f64 N -2) (*.f64 1/4 (pow.f64 N -4))))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (-.f64 (*.f64 1/9 (pow.f64 N -6)) (fma.f64 1/16 (pow.f64 N -8) (*.f64 1/4 (pow.f64 N -4)))) (-.f64 (*.f64 1/3 (pow.f64 N -3)) (fma.f64 -1/2 (pow.f64 N -2) (*.f64 1/4 (pow.f64 N -4))))))) 1)
(*.f64 (-.f64 (*.f64 1/9 (pow.f64 N -6)) (fma.f64 1/16 (pow.f64 N -8) (*.f64 1/4 (pow.f64 N -4)))) (/.f64 1 (-.f64 (*.f64 1/3 (pow.f64 N -3)) (fma.f64 -1/2 (pow.f64 N -2) (*.f64 1/4 (pow.f64 N -4))))))
(*.f64 1 (/.f64 (-.f64 (*.f64 1/9 (pow.f64 N -6)) (fma.f64 1/16 (pow.f64 N -8) (*.f64 1/4 (pow.f64 N -4)))) (-.f64 (*.f64 1/3 (pow.f64 N -3)) (fma.f64 -1/2 (pow.f64 N -2) (*.f64 1/4 (pow.f64 N -4))))))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 (*.f64 1/9 (pow.f64 N -6)) (fma.f64 1/16 (pow.f64 N -8) (*.f64 1/4 (pow.f64 N -4)))) (-.f64 (*.f64 1/3 (pow.f64 N -3)) (fma.f64 -1/2 (pow.f64 N -2) (*.f64 1/4 (pow.f64 N -4)))))) 2) (cbrt.f64 (/.f64 (-.f64 (*.f64 1/9 (pow.f64 N -6)) (fma.f64 1/16 (pow.f64 N -8) (*.f64 1/4 (pow.f64 N -4)))) (-.f64 (*.f64 1/3 (pow.f64 N -3)) (fma.f64 -1/2 (pow.f64 N -2) (*.f64 1/4 (pow.f64 N -4)))))))
(*.f64 (sqrt.f64 (/.f64 (-.f64 (*.f64 1/9 (pow.f64 N -6)) (fma.f64 1/16 (pow.f64 N -8) (*.f64 1/4 (pow.f64 N -4)))) (-.f64 (*.f64 1/3 (pow.f64 N -3)) (fma.f64 -1/2 (pow.f64 N -2) (*.f64 1/4 (pow.f64 N -4)))))) (sqrt.f64 (/.f64 (-.f64 (*.f64 1/9 (pow.f64 N -6)) (fma.f64 1/16 (pow.f64 N -8) (*.f64 1/4 (pow.f64 N -4)))) (-.f64 (*.f64 1/3 (pow.f64 N -3)) (fma.f64 -1/2 (pow.f64 N -2) (*.f64 1/4 (pow.f64 N -4)))))))
(pow.f64 (/.f64 (-.f64 (*.f64 1/9 (pow.f64 N -6)) (fma.f64 1/16 (pow.f64 N -8) (*.f64 1/4 (pow.f64 N -4)))) (-.f64 (*.f64 1/3 (pow.f64 N -3)) (fma.f64 -1/2 (pow.f64 N -2) (*.f64 1/4 (pow.f64 N -4))))) 1)
(pow.f64 (cbrt.f64 (/.f64 (-.f64 (*.f64 1/9 (pow.f64 N -6)) (fma.f64 1/16 (pow.f64 N -8) (*.f64 1/4 (pow.f64 N -4)))) (-.f64 (*.f64 1/3 (pow.f64 N -3)) (fma.f64 -1/2 (pow.f64 N -2) (*.f64 1/4 (pow.f64 N -4)))))) 3)
(pow.f64 (pow.f64 (/.f64 (-.f64 (*.f64 1/9 (pow.f64 N -6)) (fma.f64 1/16 (pow.f64 N -8) (*.f64 1/4 (pow.f64 N -4)))) (-.f64 (*.f64 1/3 (pow.f64 N -3)) (fma.f64 -1/2 (pow.f64 N -2) (*.f64 1/4 (pow.f64 N -4))))) 3) 1/3)
(pow.f64 (sqrt.f64 (/.f64 (-.f64 (*.f64 1/9 (pow.f64 N -6)) (fma.f64 1/16 (pow.f64 N -8) (*.f64 1/4 (pow.f64 N -4)))) (-.f64 (*.f64 1/3 (pow.f64 N -3)) (fma.f64 -1/2 (pow.f64 N -2) (*.f64 1/4 (pow.f64 N -4)))))) 2)
(pow.f64 (/.f64 (-.f64 (*.f64 1/3 (pow.f64 N -3)) (fma.f64 -1/2 (pow.f64 N -2) (*.f64 1/4 (pow.f64 N -4)))) (-.f64 (*.f64 1/9 (pow.f64 N -6)) (fma.f64 1/16 (pow.f64 N -8) (*.f64 1/4 (pow.f64 N -4))))) -1)
(log.f64 (exp.f64 (/.f64 (-.f64 (*.f64 1/9 (pow.f64 N -6)) (fma.f64 1/16 (pow.f64 N -8) (*.f64 1/4 (pow.f64 N -4)))) (-.f64 (*.f64 1/3 (pow.f64 N -3)) (fma.f64 -1/2 (pow.f64 N -2) (*.f64 1/4 (pow.f64 N -4)))))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (-.f64 (*.f64 1/9 (pow.f64 N -6)) (fma.f64 1/16 (pow.f64 N -8) (*.f64 1/4 (pow.f64 N -4)))) (-.f64 (*.f64 1/3 (pow.f64 N -3)) (fma.f64 -1/2 (pow.f64 N -2) (*.f64 1/4 (pow.f64 N -4))))))))
(cbrt.f64 (pow.f64 (/.f64 (-.f64 (*.f64 1/9 (pow.f64 N -6)) (fma.f64 1/16 (pow.f64 N -8) (*.f64 1/4 (pow.f64 N -4)))) (-.f64 (*.f64 1/3 (pow.f64 N -3)) (fma.f64 -1/2 (pow.f64 N -2) (*.f64 1/4 (pow.f64 N -4))))) 3))
(cbrt.f64 (/.f64 (pow.f64 (-.f64 (*.f64 1/9 (pow.f64 N -6)) (fma.f64 1/16 (pow.f64 N -8) (*.f64 1/4 (pow.f64 N -4)))) 3) (pow.f64 (-.f64 (*.f64 1/3 (pow.f64 N -3)) (fma.f64 -1/2 (pow.f64 N -2) (*.f64 1/4 (pow.f64 N -4)))) 3)))
(expm1.f64 (log1p.f64 (/.f64 (-.f64 (*.f64 1/9 (pow.f64 N -6)) (fma.f64 1/16 (pow.f64 N -8) (*.f64 1/4 (pow.f64 N -4)))) (-.f64 (*.f64 1/3 (pow.f64 N -3)) (fma.f64 -1/2 (pow.f64 N -2) (*.f64 1/4 (pow.f64 N -4)))))))
(exp.f64 (log.f64 (/.f64 (-.f64 (*.f64 1/9 (pow.f64 N -6)) (fma.f64 1/16 (pow.f64 N -8) (*.f64 1/4 (pow.f64 N -4)))) (-.f64 (*.f64 1/3 (pow.f64 N -3)) (fma.f64 -1/2 (pow.f64 N -2) (*.f64 1/4 (pow.f64 N -4)))))))
(exp.f64 (*.f64 (log.f64 (/.f64 (-.f64 (*.f64 1/9 (pow.f64 N -6)) (fma.f64 1/16 (pow.f64 N -8) (*.f64 1/4 (pow.f64 N -4)))) (-.f64 (*.f64 1/3 (pow.f64 N -3)) (fma.f64 -1/2 (pow.f64 N -2) (*.f64 1/4 (pow.f64 N -4)))))) 1))
(log1p.f64 (expm1.f64 (/.f64 (-.f64 (*.f64 1/9 (pow.f64 N -6)) (fma.f64 1/16 (pow.f64 N -8) (*.f64 1/4 (pow.f64 N -4)))) (-.f64 (*.f64 1/3 (pow.f64 N -3)) (fma.f64 -1/2 (pow.f64 N -2) (*.f64 1/4 (pow.f64 N -4)))))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 1/9 (pow.f64 N -6)))) 1)
(*.f64 1/9 (pow.f64 N -6))
(*.f64 1 (*.f64 1/9 (pow.f64 N -6)))
(*.f64 (cbrt.f64 (pow.f64 (*.f64 1/9 (pow.f64 N -6)) 2)) (*.f64 (cbrt.f64 1/9) (pow.f64 N -2)))
(*.f64 (sqrt.f64 (*.f64 1/9 (pow.f64 N -6))) (sqrt.f64 (*.f64 1/9 (pow.f64 N -6))))
(pow.f64 (*.f64 1/9 (pow.f64 N -6)) 1)
(pow.f64 (*.f64 (cbrt.f64 1/9) (pow.f64 N -2)) 3)
(pow.f64 (*.f64 1/729 (pow.f64 (pow.f64 N -6) 3)) 1/3)
(pow.f64 (sqrt.f64 (*.f64 1/9 (pow.f64 N -6))) 2)
(pow.f64 (/.f64 (pow.f64 N 6) 1/9) -1)
(log.f64 (pow.f64 (exp.f64 1/9) (pow.f64 N -6)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 1/9 (pow.f64 N -6)))))
(cbrt.f64 (*.f64 1/729 (pow.f64 (pow.f64 N -6) 3)))
(expm1.f64 (log1p.f64 (*.f64 1/9 (pow.f64 N -6))))
(exp.f64 (log.f64 (*.f64 1/9 (pow.f64 N -6))))
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(log.f64 (exp.f64 (-.f64 (/.f64 1 N) (fma.f64 1/4 (pow.f64 N -4) (*.f64 1/2 (pow.f64 N -2))))))
(log.f64 (+.f64 1 (expm1.f64 (-.f64 (/.f64 1 N) (fma.f64 1/4 (pow.f64 N -4) (*.f64 1/2 (pow.f64 N -2)))))))
(cbrt.f64 (pow.f64 (-.f64 (/.f64 1 N) (fma.f64 1/4 (pow.f64 N -4) (*.f64 1/2 (pow.f64 N -2)))) 3))
(expm1.f64 (log1p.f64 (-.f64 (/.f64 1 N) (fma.f64 1/4 (pow.f64 N -4) (*.f64 1/2 (pow.f64 N -2))))))
(exp.f64 (log.f64 (-.f64 (/.f64 1 N) (fma.f64 1/4 (pow.f64 N -4) (*.f64 1/2 (pow.f64 N -2))))))
(exp.f64 (*.f64 (log.f64 (-.f64 (/.f64 1 N) (fma.f64 1/4 (pow.f64 N -4) (*.f64 1/2 (pow.f64 N -2))))) 1))
(log1p.f64 (expm1.f64 (-.f64 (/.f64 1 N) (fma.f64 1/4 (pow.f64 N -4) (*.f64 1/2 (pow.f64 N -2))))))
(fma.f64 1 (/.f64 1 N) (neg.f64 (fma.f64 1/4 (pow.f64 N -4) (*.f64 1/2 (pow.f64 N -2)))))
(fma.f64 1 (-.f64 (/.f64 1 N) (*.f64 1/4 (pow.f64 N -4))) (neg.f64 (*.f64 1/2 (pow.f64 N -2))))
(fma.f64 (cbrt.f64 (pow.f64 N -2)) (/.f64 1 (cbrt.f64 N)) (neg.f64 (fma.f64 1/4 (pow.f64 N -4) (*.f64 1/2 (pow.f64 N -2)))))
(fma.f64 (pow.f64 (cbrt.f64 (-.f64 (/.f64 1 N) (*.f64 1/4 (pow.f64 N -4)))) 2) (cbrt.f64 (-.f64 (/.f64 1 N) (*.f64 1/4 (pow.f64 N -4)))) (neg.f64 (*.f64 1/2 (pow.f64 N -2))))
(fma.f64 (sqrt.f64 (/.f64 1 N)) (sqrt.f64 (/.f64 1 N)) (neg.f64 (fma.f64 1/4 (pow.f64 N -4) (*.f64 1/2 (pow.f64 N -2)))))
(fma.f64 (sqrt.f64 (-.f64 (/.f64 1 N) (*.f64 1/4 (pow.f64 N -4)))) (sqrt.f64 (-.f64 (/.f64 1 N) (*.f64 1/4 (pow.f64 N -4)))) (neg.f64 (*.f64 1/2 (pow.f64 N -2))))
(+.f64 0 (*.f64 -1/2 (pow.f64 N -2)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (pow.f64 N -2)) -1/2)) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (pow.f64 N -2)) -1/2))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (pow.f64 N -2)) -1/2))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (pow.f64 N -2)) -1/2))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 -1/2 (pow.f64 N -2)))) 1)
(-.f64 (log.f64 (+.f64 1 (pow.f64 (expm1.f64 (*.f64 -1/2 (pow.f64 N -2))) 3))) (log.f64 (+.f64 1 (-.f64 (pow.f64 (expm1.f64 (*.f64 -1/2 (pow.f64 N -2))) 2) (expm1.f64 (*.f64 -1/2 (pow.f64 N -2)))))))
(-.f64 (log.f64 (-.f64 1 (pow.f64 (expm1.f64 (*.f64 -1/2 (pow.f64 N -2))) 2))) (log.f64 (-.f64 1 (expm1.f64 (*.f64 -1/2 (pow.f64 N -2))))))
(*.f64 -1/2 (pow.f64 N -2))
(*.f64 (pow.f64 N -2) -1/2)
(*.f64 1 (*.f64 -1/2 (pow.f64 N -2)))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 -1/2 (pow.f64 N -2))) 2) (cbrt.f64 (*.f64 -1/2 (pow.f64 N -2))))
(*.f64 (sqrt.f64 (*.f64 -1/2 (pow.f64 N -2))) (sqrt.f64 (*.f64 -1/2 (pow.f64 N -2))))
(pow.f64 (*.f64 -1/2 (pow.f64 N -2)) 1)
(pow.f64 (cbrt.f64 (*.f64 -1/2 (pow.f64 N -2))) 3)
(pow.f64 (*.f64 (pow.f64 N -6) -1/8) 1/3)
(pow.f64 (sqrt.f64 (*.f64 -1/2 (pow.f64 N -2))) 2)
(cbrt.f64 (*.f64 (pow.f64 N -6) -1/8))
(expm1.f64 (log1p.f64 (*.f64 -1/2 (pow.f64 N -2))))
(exp.f64 (log.f64 (*.f64 -1/2 (pow.f64 N -2))))
(exp.f64 (*.f64 (log.f64 (*.f64 -1/2 (pow.f64 N -2))) 1))
(log1p.f64 (expm1.f64 (*.f64 -1/2 (pow.f64 N -2))))
(-.f64 (fma.f64 1/3 (pow.f64 N -3) (*.f64 -1/2 (pow.f64 N -2))) (*.f64 1/4 (pow.f64 N -4)))
(-.f64 (exp.f64 (log1p.f64 (-.f64 (fma.f64 1/3 (pow.f64 N -3) (*.f64 -1/2 (pow.f64 N -2))) (*.f64 1/4 (pow.f64 N -4))))) 1)
(*.f64 1 (-.f64 (fma.f64 1/3 (pow.f64 N -3) (*.f64 -1/2 (pow.f64 N -2))) (*.f64 1/4 (pow.f64 N -4))))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 (fma.f64 1/3 (pow.f64 N -3) (*.f64 -1/2 (pow.f64 N -2))) (*.f64 1/4 (pow.f64 N -4)))) 2) (cbrt.f64 (-.f64 (fma.f64 1/3 (pow.f64 N -3) (*.f64 -1/2 (pow.f64 N -2))) (*.f64 1/4 (pow.f64 N -4)))))
(*.f64 (sqrt.f64 (-.f64 (fma.f64 1/3 (pow.f64 N -3) (*.f64 -1/2 (pow.f64 N -2))) (*.f64 1/4 (pow.f64 N -4)))) (sqrt.f64 (-.f64 (fma.f64 1/3 (pow.f64 N -3) (*.f64 -1/2 (pow.f64 N -2))) (*.f64 1/4 (pow.f64 N -4)))))
(/.f64 (+.f64 (pow.f64 (*.f64 1/3 (pow.f64 N -3)) 3) (pow.f64 (-.f64 (*.f64 -1/2 (pow.f64 N -2)) (*.f64 1/4 (pow.f64 N -4))) 3)) (+.f64 (pow.f64 (*.f64 1/3 (pow.f64 N -3)) 2) (-.f64 (pow.f64 (-.f64 (*.f64 -1/2 (pow.f64 N -2)) (*.f64 1/4 (pow.f64 N -4))) 2) (*.f64 (*.f64 1/3 (pow.f64 N -3)) (-.f64 (*.f64 -1/2 (pow.f64 N -2)) (*.f64 1/4 (pow.f64 N -4)))))))
(/.f64 (-.f64 (pow.f64 (*.f64 1/3 (pow.f64 N -3)) 2) (pow.f64 (-.f64 (*.f64 -1/2 (pow.f64 N -2)) (*.f64 1/4 (pow.f64 N -4))) 2)) (-.f64 (*.f64 1/3 (pow.f64 N -3)) (-.f64 (*.f64 -1/2 (pow.f64 N -2)) (*.f64 1/4 (pow.f64 N -4)))))
(pow.f64 (-.f64 (fma.f64 1/3 (pow.f64 N -3) (*.f64 -1/2 (pow.f64 N -2))) (*.f64 1/4 (pow.f64 N -4))) 1)
(pow.f64 (cbrt.f64 (-.f64 (fma.f64 1/3 (pow.f64 N -3) (*.f64 -1/2 (pow.f64 N -2))) (*.f64 1/4 (pow.f64 N -4)))) 3)
(pow.f64 (pow.f64 (-.f64 (fma.f64 1/3 (pow.f64 N -3) (*.f64 -1/2 (pow.f64 N -2))) (*.f64 1/4 (pow.f64 N -4))) 3) 1/3)
(pow.f64 (sqrt.f64 (-.f64 (fma.f64 1/3 (pow.f64 N -3) (*.f64 -1/2 (pow.f64 N -2))) (*.f64 1/4 (pow.f64 N -4)))) 2)
(log.f64 (exp.f64 (-.f64 (fma.f64 1/3 (pow.f64 N -3) (*.f64 -1/2 (pow.f64 N -2))) (*.f64 1/4 (pow.f64 N -4)))))
(log.f64 (+.f64 1 (expm1.f64 (-.f64 (fma.f64 1/3 (pow.f64 N -3) (*.f64 -1/2 (pow.f64 N -2))) (*.f64 1/4 (pow.f64 N -4))))))
(cbrt.f64 (pow.f64 (-.f64 (fma.f64 1/3 (pow.f64 N -3) (*.f64 -1/2 (pow.f64 N -2))) (*.f64 1/4 (pow.f64 N -4))) 3))
(expm1.f64 (log1p.f64 (-.f64 (fma.f64 1/3 (pow.f64 N -3) (*.f64 -1/2 (pow.f64 N -2))) (*.f64 1/4 (pow.f64 N -4)))))
(exp.f64 (log.f64 (-.f64 (fma.f64 1/3 (pow.f64 N -3) (*.f64 -1/2 (pow.f64 N -2))) (*.f64 1/4 (pow.f64 N -4)))))
(exp.f64 (*.f64 (log.f64 (-.f64 (fma.f64 1/3 (pow.f64 N -3) (*.f64 -1/2 (pow.f64 N -2))) (*.f64 1/4 (pow.f64 N -4)))) 1))
(log1p.f64 (expm1.f64 (-.f64 (fma.f64 1/3 (pow.f64 N -3) (*.f64 -1/2 (pow.f64 N -2))) (*.f64 1/4 (pow.f64 N -4)))))
(fma.f64 1/3 (pow.f64 N -3) (-.f64 (*.f64 -1/2 (pow.f64 N -2)) (*.f64 1/4 (pow.f64 N -4))))
(fma.f64 1 (*.f64 1/3 (pow.f64 N -3)) (-.f64 (*.f64 -1/2 (pow.f64 N -2)) (*.f64 1/4 (pow.f64 N -4))))
(fma.f64 1 (-.f64 (*.f64 -1/2 (pow.f64 N -2)) (*.f64 1/4 (pow.f64 N -4))) (*.f64 1/3 (pow.f64 N -3)))
(fma.f64 (pow.f64 (/.f64 (cbrt.f64 1/3) N) 2) (/.f64 (cbrt.f64 1/3) N) (-.f64 (*.f64 -1/2 (pow.f64 N -2)) (*.f64 1/4 (pow.f64 N -4))))
(fma.f64 (pow.f64 (cbrt.f64 (-.f64 (*.f64 -1/2 (pow.f64 N -2)) (*.f64 1/4 (pow.f64 N -4)))) 2) (cbrt.f64 (-.f64 (*.f64 -1/2 (pow.f64 N -2)) (*.f64 1/4 (pow.f64 N -4)))) (*.f64 1/3 (pow.f64 N -3)))
(fma.f64 (sqrt.f64 (*.f64 1/3 (pow.f64 N -3))) (sqrt.f64 (*.f64 1/3 (pow.f64 N -3))) (-.f64 (*.f64 -1/2 (pow.f64 N -2)) (*.f64 1/4 (pow.f64 N -4))))
(fma.f64 (sqrt.f64 (-.f64 (*.f64 -1/2 (pow.f64 N -2)) (*.f64 1/4 (pow.f64 N -4)))) (sqrt.f64 (-.f64 (*.f64 -1/2 (pow.f64 N -2)) (*.f64 1/4 (pow.f64 N -4)))) (*.f64 1/3 (pow.f64 N -3)))

simplify200.0ms (2.3%)

Algorithm
1×egg-herbie
Rules
1410×fma-neg
1324×log-prod
692×exp-prod
570×fma-def
568×associate-*r*
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
062114909
1145713698
2553313537
Stop Event
1×node limit
Counts
369 → 382
Calls
Call 1
Inputs
(/.f64 1/4 (pow.f64 N 4))
(+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 N 3))) (*.f64 1/4 (/.f64 1 (pow.f64 N 4))))
(+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 N 3))) (+.f64 (*.f64 1/2 (/.f64 1 (pow.f64 N 2))) (*.f64 1/4 (/.f64 1 (pow.f64 N 4)))))
(+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 N 3))) (+.f64 (*.f64 1/2 (/.f64 1 (pow.f64 N 2))) (+.f64 (*.f64 4/3 (/.f64 1 N)) (*.f64 1/4 (/.f64 1 (pow.f64 N 4))))))
(/.f64 -1/2 (pow.f64 N 2))
(-.f64 (*.f64 1/3 (/.f64 1 (pow.f64 N 3))) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (*.f64 1/3 (/.f64 1 (pow.f64 N 3))) (+.f64 (*.f64 1/4 (/.f64 1 (pow.f64 N 4))) (*.f64 1/2 (/.f64 1 (pow.f64 N 2)))))
(-.f64 (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 N 3))) (*.f64 1/3 (/.f64 1 (pow.f64 N 5)))) (+.f64 (*.f64 1/4 (/.f64 1 (pow.f64 N 4))) (*.f64 1/2 (/.f64 1 (pow.f64 N 2)))))
(/.f64 -1/2 (pow.f64 N 2))
(-.f64 (*.f64 1/3 (/.f64 1 (pow.f64 N 3))) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (*.f64 1/3 (/.f64 1 (pow.f64 N 3))) (+.f64 (*.f64 1/4 (/.f64 1 (pow.f64 N 4))) (*.f64 1/2 (/.f64 1 (pow.f64 N 2)))))
(-.f64 (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 N 3))) (*.f64 1/3 (/.f64 1 (pow.f64 N 5)))) (+.f64 (*.f64 1/4 (/.f64 1 (pow.f64 N 4))) (*.f64 1/2 (/.f64 1 (pow.f64 N 2)))))
(/.f64 1/3 (pow.f64 N 3))
(/.f64 1/3 (pow.f64 N 3))
(/.f64 1/3 (pow.f64 N 3))
(/.f64 1/3 (pow.f64 N 3))
(/.f64 1/3 (pow.f64 N 3))
(/.f64 1/3 (pow.f64 N 3))
(/.f64 1/3 (pow.f64 N 3))
(/.f64 1/3 (pow.f64 N 3))
(/.f64 1/3 (pow.f64 N 3))
(/.f64 1/3 (pow.f64 N 3))
(/.f64 1/3 (pow.f64 N 3))
(/.f64 1/3 (pow.f64 N 3))
(*.f64 -1 (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)
1
1
(/.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 -1/2 N)
(+.f64 (*.f64 -1/2 N) (pow.f64 N 2))
(+.f64 (*.f64 -1/2 N) (pow.f64 N 2))
(+.f64 (*.f64 -1/2 N) (pow.f64 N 2))
(pow.f64 N 2)
(+.f64 (*.f64 -1/2 N) (pow.f64 N 2))
(+.f64 (*.f64 -1/2 N) (pow.f64 N 2))
(+.f64 (*.f64 -1/2 N) (pow.f64 N 2))
(pow.f64 N 2)
(+.f64 (*.f64 -1/2 N) (pow.f64 N 2))
(+.f64 (*.f64 -1/2 N) (pow.f64 N 2))
(+.f64 (*.f64 -1/2 N) (pow.f64 N 2))
(/.f64 -1/4 (pow.f64 N 4))
(neg.f64 (+.f64 (*.f64 1/2 (/.f64 1 (pow.f64 N 2))) (*.f64 1/4 (/.f64 1 (pow.f64 N 4)))))
(-.f64 (/.f64 1 N) (+.f64 (*.f64 1/2 (/.f64 1 (pow.f64 N 2))) (*.f64 1/4 (/.f64 1 (pow.f64 N 4)))))
(-.f64 (/.f64 1 N) (+.f64 (*.f64 1/2 (/.f64 1 (pow.f64 N 2))) (*.f64 1/4 (/.f64 1 (pow.f64 N 4)))))
(/.f64 1 N)
(-.f64 (/.f64 1 N) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (/.f64 1 N) (+.f64 (*.f64 1/4 (/.f64 1 (pow.f64 N 4))) (*.f64 1/2 (/.f64 1 (pow.f64 N 2)))))
(-.f64 (/.f64 1 N) (+.f64 (*.f64 1/4 (/.f64 1 (pow.f64 N 4))) (*.f64 1/2 (/.f64 1 (pow.f64 N 2)))))
(/.f64 1 N)
(-.f64 (/.f64 1 N) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (/.f64 1 N) (+.f64 (*.f64 1/4 (/.f64 1 (pow.f64 N 4))) (*.f64 1/2 (/.f64 1 (pow.f64 N 2)))))
(-.f64 (/.f64 1 N) (+.f64 (*.f64 1/4 (/.f64 1 (pow.f64 N 4))) (*.f64 1/2 (/.f64 1 (pow.f64 N 2)))))
(/.f64 -1/2 (pow.f64 N 2))
(/.f64 -1/2 (pow.f64 N 2))
(/.f64 -1/2 (pow.f64 N 2))
(/.f64 -1/2 (pow.f64 N 2))
(/.f64 -1/2 (pow.f64 N 2))
(/.f64 -1/2 (pow.f64 N 2))
(/.f64 -1/2 (pow.f64 N 2))
(/.f64 -1/2 (pow.f64 N 2))
(/.f64 -1/2 (pow.f64 N 2))
(/.f64 -1/2 (pow.f64 N 2))
(/.f64 -1/2 (pow.f64 N 2))
(/.f64 -1/2 (pow.f64 N 2))
(/.f64 -1/4 (pow.f64 N 4))
(-.f64 (*.f64 1/3 (/.f64 1 (pow.f64 N 3))) (*.f64 1/4 (/.f64 1 (pow.f64 N 4))))
(-.f64 (*.f64 1/3 (/.f64 1 (pow.f64 N 3))) (+.f64 (*.f64 1/2 (/.f64 1 (pow.f64 N 2))) (*.f64 1/4 (/.f64 1 (pow.f64 N 4)))))
(-.f64 (*.f64 1/3 (/.f64 1 (pow.f64 N 3))) (+.f64 (*.f64 1/2 (/.f64 1 (pow.f64 N 2))) (*.f64 1/4 (/.f64 1 (pow.f64 N 4)))))
(/.f64 -1/2 (pow.f64 N 2))
(-.f64 (*.f64 1/3 (/.f64 1 (pow.f64 N 3))) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (*.f64 1/3 (/.f64 1 (pow.f64 N 3))) (+.f64 (*.f64 1/4 (/.f64 1 (pow.f64 N 4))) (*.f64 1/2 (/.f64 1 (pow.f64 N 2)))))
(-.f64 (*.f64 1/3 (/.f64 1 (pow.f64 N 3))) (+.f64 (*.f64 1/4 (/.f64 1 (pow.f64 N 4))) (*.f64 1/2 (/.f64 1 (pow.f64 N 2)))))
(/.f64 -1/2 (pow.f64 N 2))
(-.f64 (*.f64 1/3 (/.f64 1 (pow.f64 N 3))) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (*.f64 1/3 (/.f64 1 (pow.f64 N 3))) (+.f64 (*.f64 1/4 (/.f64 1 (pow.f64 N 4))) (*.f64 1/2 (/.f64 1 (pow.f64 N 2)))))
(-.f64 (*.f64 1/3 (/.f64 1 (pow.f64 N 3))) (+.f64 (*.f64 1/4 (/.f64 1 (pow.f64 N 4))) (*.f64 1/2 (/.f64 1 (pow.f64 N 2)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 1/16 (pow.f64 N -8)))) 1)
(*.f64 1/16 (pow.f64 N -8))
(*.f64 1 (*.f64 1/16 (pow.f64 N -8)))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 1/16 (pow.f64 N -8))) 2) (cbrt.f64 (*.f64 1/16 (pow.f64 N -8))))
(*.f64 (sqrt.f64 (*.f64 1/16 (pow.f64 N -8))) (sqrt.f64 (*.f64 1/16 (pow.f64 N -8))))
(pow.f64 (*.f64 1/16 (pow.f64 N -8)) 1)
(pow.f64 (cbrt.f64 (*.f64 1/16 (pow.f64 N -8))) 3)
(pow.f64 (pow.f64 (*.f64 1/16 (pow.f64 N -8)) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 1/16 (pow.f64 N -8))) 2)
(pow.f64 (/.f64 (pow.f64 N 8) 1/16) -1)
(log.f64 (pow.f64 (exp.f64 1/16) (pow.f64 N -8)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 1/16 (pow.f64 N -8)))))
(cbrt.f64 (pow.f64 (*.f64 1/16 (pow.f64 N -8)) 3))
(expm1.f64 (log1p.f64 (*.f64 1/16 (pow.f64 N -8))))
(exp.f64 (log.f64 (*.f64 1/16 (pow.f64 N -8))))
(exp.f64 (*.f64 (log.f64 (*.f64 1/16 (pow.f64 N -8))) 1))
(log1p.f64 (expm1.f64 (*.f64 1/16 (pow.f64 N -8))))
(-.f64 (/.f64 (*.f64 1/9 (pow.f64 N -6)) (-.f64 (*.f64 1/3 (pow.f64 N -3)) (fma.f64 -1/2 (pow.f64 N -2) (*.f64 1/4 (pow.f64 N -4))))) (/.f64 (fma.f64 1/16 (pow.f64 N -8) (*.f64 1/4 (pow.f64 N -4))) (-.f64 (*.f64 1/3 (pow.f64 N -3)) (fma.f64 -1/2 (pow.f64 N -2) (*.f64 1/4 (pow.f64 N -4))))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (-.f64 (*.f64 1/9 (pow.f64 N -6)) (fma.f64 1/16 (pow.f64 N -8) (*.f64 1/4 (pow.f64 N -4)))) (-.f64 (*.f64 1/3 (pow.f64 N -3)) (fma.f64 -1/2 (pow.f64 N -2) (*.f64 1/4 (pow.f64 N -4))))))) 1)
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(*.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 (*.f64 1/9 (pow.f64 N -6)) (fma.f64 1/16 (pow.f64 N -8) (*.f64 1/4 (pow.f64 N -4)))) (-.f64 (*.f64 1/3 (pow.f64 N -3)) (fma.f64 -1/2 (pow.f64 N -2) (*.f64 1/4 (pow.f64 N -4)))))) 2) (cbrt.f64 (/.f64 (-.f64 (*.f64 1/9 (pow.f64 N -6)) (fma.f64 1/16 (pow.f64 N -8) (*.f64 1/4 (pow.f64 N -4)))) (-.f64 (*.f64 1/3 (pow.f64 N -3)) (fma.f64 -1/2 (pow.f64 N -2) (*.f64 1/4 (pow.f64 N -4)))))))
(*.f64 (sqrt.f64 (/.f64 (-.f64 (*.f64 1/9 (pow.f64 N -6)) (fma.f64 1/16 (pow.f64 N -8) (*.f64 1/4 (pow.f64 N -4)))) (-.f64 (*.f64 1/3 (pow.f64 N -3)) (fma.f64 -1/2 (pow.f64 N -2) (*.f64 1/4 (pow.f64 N -4)))))) (sqrt.f64 (/.f64 (-.f64 (*.f64 1/9 (pow.f64 N -6)) (fma.f64 1/16 (pow.f64 N -8) (*.f64 1/4 (pow.f64 N -4)))) (-.f64 (*.f64 1/3 (pow.f64 N -3)) (fma.f64 -1/2 (pow.f64 N -2) (*.f64 1/4 (pow.f64 N -4)))))))
(pow.f64 (/.f64 (-.f64 (*.f64 1/9 (pow.f64 N -6)) (fma.f64 1/16 (pow.f64 N -8) (*.f64 1/4 (pow.f64 N -4)))) (-.f64 (*.f64 1/3 (pow.f64 N -3)) (fma.f64 -1/2 (pow.f64 N -2) (*.f64 1/4 (pow.f64 N -4))))) 1)
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(exp.f64 (log.f64 (/.f64 (-.f64 (*.f64 1/9 (pow.f64 N -6)) (fma.f64 1/16 (pow.f64 N -8) (*.f64 1/4 (pow.f64 N -4)))) (-.f64 (*.f64 1/3 (pow.f64 N -3)) (fma.f64 -1/2 (pow.f64 N -2) (*.f64 1/4 (pow.f64 N -4)))))))
(exp.f64 (*.f64 (log.f64 (/.f64 (-.f64 (*.f64 1/9 (pow.f64 N -6)) (fma.f64 1/16 (pow.f64 N -8) (*.f64 1/4 (pow.f64 N -4)))) (-.f64 (*.f64 1/3 (pow.f64 N -3)) (fma.f64 -1/2 (pow.f64 N -2) (*.f64 1/4 (pow.f64 N -4)))))) 1))
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(pow.f64 (*.f64 1/729 (pow.f64 (pow.f64 N -6) 3)) 1/3)
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(pow.f64 (/.f64 (pow.f64 N 6) 1/9) -1)
(log.f64 (pow.f64 (exp.f64 1/9) (pow.f64 N -6)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 1/9 (pow.f64 N -6)))))
(cbrt.f64 (*.f64 1/729 (pow.f64 (pow.f64 N -6) 3)))
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(/.f64 1/3 (pow.f64 N 3))
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(/.f64 -1/3 (neg.f64 (pow.f64 N 3)))
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(pow.f64 (pow.f64 (*.f64 1/3 (pow.f64 N -3)) 3) 1/3)
(pow.f64 (/.f64 (pow.f64 N 3) 1/3) -1)
(log.f64 (pow.f64 (exp.f64 1/3) (pow.f64 N -3)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 1/3 (pow.f64 N -3)))))
(cbrt.f64 (pow.f64 (*.f64 1/3 (pow.f64 N -3)) 3))
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(exp.f64 (*.f64 (log.f64 (*.f64 1/3 (pow.f64 N -3))) 1))
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(+.f64 (log.f64 (sqrt.f64 (+.f64 1 (/.f64 1 N)))) (log.f64 (sqrt.f64 (+.f64 1 (/.f64 1 N)))))
(-.f64 (log1p.f64 (pow.f64 N -3)) (log.f64 (+.f64 1 (-.f64 (pow.f64 N -2) (/.f64 1 N)))))
(-.f64 (exp.f64 (log1p.f64 (log1p.f64 (/.f64 1 N)))) 1)
(-.f64 (log.f64 (-.f64 1 (pow.f64 N -2))) (log.f64 (-.f64 1 (/.f64 1 N))))
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(pow.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 3) 1/3)
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(cbrt.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 3))
(expm1.f64 (log1p.f64 (log1p.f64 (/.f64 1 N))))
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(exp.f64 (*.f64 (log.f64 (log1p.f64 (/.f64 1 N))) 1))
(log1p.f64 (/.f64 1 N))
(-.f64 (exp.f64 (log1p.f64 (+.f64 1 (/.f64 1 N)))) 1)
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(pow.f64 (exp.f64 (sqrt.f64 (log1p.f64 (/.f64 1 N)))) (sqrt.f64 (log1p.f64 (/.f64 1 N))))
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(log.f64 (pow.f64 (exp.f64 (pow.f64 N -3)) (*.f64 N (+.f64 N -1/2))))
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(exp.f64 (log.f64 (*.f64 N (*.f64 (+.f64 N -1/2) (pow.f64 N -3)))))
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(pow.f64 (sqrt.f64 (fma.f64 N (*.f64 (+.f64 N -1/2) (pow.f64 N -3)) (*.f64 1/3 (pow.f64 N -3)))) 2)
(log.f64 (exp.f64 (fma.f64 N (*.f64 (+.f64 N -1/2) (pow.f64 N -3)) (*.f64 1/3 (pow.f64 N -3)))))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 N (*.f64 (+.f64 N -1/2) (pow.f64 N -3)) (*.f64 1/3 (pow.f64 N -3))))))
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(exp.f64 (log.f64 (fma.f64 N (*.f64 (+.f64 N -1/2) (pow.f64 N -3)) (*.f64 1/3 (pow.f64 N -3)))))
(exp.f64 (*.f64 (log.f64 (fma.f64 N (*.f64 (+.f64 N -1/2) (pow.f64 N -3)) (*.f64 1/3 (pow.f64 N -3)))) 1))
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(fma.f64 N (*.f64 (+.f64 N -1/2) (pow.f64 N -3)) (*.f64 1/3 (pow.f64 N -3)))
(fma.f64 1/3 (pow.f64 N -3) (*.f64 N (*.f64 (+.f64 N -1/2) (pow.f64 N -3))))
(fma.f64 (pow.f64 N -3) (*.f64 N (+.f64 N -1/2)) (*.f64 1/3 (pow.f64 N -3)))
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(fma.f64 1 (*.f64 1/3 (pow.f64 N -3)) (*.f64 N (*.f64 (+.f64 N -1/2) (pow.f64 N -3))))
(fma.f64 (*.f64 N (+.f64 N -1/2)) (pow.f64 N -3) (*.f64 1/3 (pow.f64 N -3)))
(fma.f64 (pow.f64 (/.f64 (cbrt.f64 1/3) N) 2) (/.f64 (cbrt.f64 1/3) N) (*.f64 N (*.f64 (+.f64 N -1/2) (pow.f64 N -3))))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 N (*.f64 (+.f64 N -1/2) (pow.f64 N -3)))) 2) (cbrt.f64 (*.f64 N (*.f64 (+.f64 N -1/2) (pow.f64 N -3)))) (*.f64 1/3 (pow.f64 N -3)))
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(fma.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 1/3 (pow.f64 N -3)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 N (+.f64 N -1/2)))) 1)
(pow.f64 (*.f64 N (+.f64 N -1/2)) 1)
(pow.f64 (cbrt.f64 (*.f64 N (+.f64 N -1/2))) 3)
(pow.f64 (pow.f64 (*.f64 N (+.f64 N -1/2)) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 N (+.f64 N -1/2))) 2)
(log.f64 (pow.f64 (exp.f64 N) (+.f64 N -1/2)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 N (+.f64 N -1/2)))))
(cbrt.f64 (pow.f64 (*.f64 N (+.f64 N -1/2)) 3))
(cbrt.f64 (*.f64 (pow.f64 N 3) (pow.f64 (+.f64 N -1/2) 3)))
(cbrt.f64 (*.f64 (pow.f64 (+.f64 N -1/2) 3) (pow.f64 N 3)))
(expm1.f64 (log1p.f64 (*.f64 N (+.f64 N -1/2))))
(exp.f64 (log.f64 (*.f64 N (+.f64 N -1/2))))
(exp.f64 (*.f64 (log.f64 (*.f64 N (+.f64 N -1/2))) 1))
(log1p.f64 (expm1.f64 (*.f64 N (+.f64 N -1/2))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 1/2 (pow.f64 N -2)))) 1)
(*.f64 1 (*.f64 1/2 (pow.f64 N -2)))
(*.f64 1/2 (pow.f64 N -2))
(*.f64 (cbrt.f64 (pow.f64 (*.f64 1/2 (pow.f64 N -2)) 2)) (cbrt.f64 (*.f64 1/2 (pow.f64 N -2))))
(*.f64 (sqrt.f64 (*.f64 1/2 (pow.f64 N -2))) (sqrt.f64 (*.f64 1/2 (pow.f64 N -2))))
(pow.f64 (*.f64 1/2 (pow.f64 N -2)) 1)
(pow.f64 (cbrt.f64 (*.f64 1/2 (pow.f64 N -2))) 3)
(pow.f64 (*.f64 1/8 (pow.f64 N -6)) 1/3)
(pow.f64 (sqrt.f64 (*.f64 1/2 (pow.f64 N -2))) 2)
(pow.f64 (/.f64 (pow.f64 N 2) 1/2) -1)
(log.f64 (pow.f64 (exp.f64 1/2) (pow.f64 N -2)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 1/2 (pow.f64 N -2)))))
(cbrt.f64 (*.f64 1/8 (pow.f64 N -6)))
(expm1.f64 (log1p.f64 (*.f64 1/2 (pow.f64 N -2))))
(exp.f64 (log.f64 (*.f64 1/2 (pow.f64 N -2))))
(exp.f64 (*.f64 (log.f64 (*.f64 1/2 (pow.f64 N -2))) 1))
(log1p.f64 (expm1.f64 (*.f64 1/2 (pow.f64 N -2))))
(+.f64 (-.f64 (/.f64 1 N) (*.f64 1/4 (pow.f64 N -4))) (neg.f64 (*.f64 1/2 (pow.f64 N -2))))
(+.f64 (-.f64 (/.f64 1 N) (fma.f64 1/4 (pow.f64 N -4) (*.f64 1/2 (pow.f64 N -2)))) (fma.f64 (neg.f64 (sqrt.f64 (*.f64 1/2 (pow.f64 N -2)))) (sqrt.f64 (*.f64 1/2 (pow.f64 N -2))) (*.f64 1/2 (pow.f64 N -2))))
(+.f64 (fma.f64 1 (-.f64 (/.f64 1 N) (*.f64 1/4 (pow.f64 N -4))) (neg.f64 (*.f64 (*.f64 1/2 (pow.f64 N -2)) 1))) (fma.f64 (neg.f64 (*.f64 1/2 (pow.f64 N -2))) 1 (*.f64 (*.f64 1/2 (pow.f64 N -2)) 1)))
(+.f64 (fma.f64 1 (-.f64 (/.f64 1 N) (*.f64 1/4 (pow.f64 N -4))) (neg.f64 (*.f64 (pow.f64 N -2) 1/2))) (fma.f64 (neg.f64 (pow.f64 N -2)) 1/2 (*.f64 (pow.f64 N -2) 1/2)))
(+.f64 (fma.f64 1 (-.f64 (/.f64 1 N) (*.f64 1/4 (pow.f64 N -4))) (neg.f64 (*.f64 (cbrt.f64 (*.f64 1/2 (pow.f64 N -2))) (cbrt.f64 (pow.f64 (*.f64 1/2 (pow.f64 N -2)) 2))))) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 1/2 (pow.f64 N -2)))) (cbrt.f64 (pow.f64 (*.f64 1/2 (pow.f64 N -2)) 2)) (*.f64 (cbrt.f64 (*.f64 1/2 (pow.f64 N -2))) (cbrt.f64 (pow.f64 (*.f64 1/2 (pow.f64 N -2)) 2)))))
(+.f64 (fma.f64 (pow.f64 (cbrt.f64 (-.f64 (/.f64 1 N) (*.f64 1/4 (pow.f64 N -4)))) 2) (cbrt.f64 (-.f64 (/.f64 1 N) (*.f64 1/4 (pow.f64 N -4)))) (neg.f64 (*.f64 (*.f64 1/2 (pow.f64 N -2)) 1))) (fma.f64 (neg.f64 (*.f64 1/2 (pow.f64 N -2))) 1 (*.f64 (*.f64 1/2 (pow.f64 N -2)) 1)))
(+.f64 (fma.f64 (pow.f64 (cbrt.f64 (-.f64 (/.f64 1 N) (*.f64 1/4 (pow.f64 N -4)))) 2) (cbrt.f64 (-.f64 (/.f64 1 N) (*.f64 1/4 (pow.f64 N -4)))) (neg.f64 (*.f64 (pow.f64 N -2) 1/2))) (fma.f64 (neg.f64 (pow.f64 N -2)) 1/2 (*.f64 (pow.f64 N -2) 1/2)))
(+.f64 (fma.f64 (pow.f64 (cbrt.f64 (-.f64 (/.f64 1 N) (*.f64 1/4 (pow.f64 N -4)))) 2) (cbrt.f64 (-.f64 (/.f64 1 N) (*.f64 1/4 (pow.f64 N -4)))) (neg.f64 (*.f64 (cbrt.f64 (*.f64 1/2 (pow.f64 N -2))) (cbrt.f64 (pow.f64 (*.f64 1/2 (pow.f64 N -2)) 2))))) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 1/2 (pow.f64 N -2)))) (cbrt.f64 (pow.f64 (*.f64 1/2 (pow.f64 N -2)) 2)) (*.f64 (cbrt.f64 (*.f64 1/2 (pow.f64 N -2))) (cbrt.f64 (pow.f64 (*.f64 1/2 (pow.f64 N -2)) 2)))))
(+.f64 (fma.f64 (sqrt.f64 (-.f64 (/.f64 1 N) (*.f64 1/4 (pow.f64 N -4)))) (sqrt.f64 (-.f64 (/.f64 1 N) (*.f64 1/4 (pow.f64 N -4)))) (neg.f64 (*.f64 (*.f64 1/2 (pow.f64 N -2)) 1))) (fma.f64 (neg.f64 (*.f64 1/2 (pow.f64 N -2))) 1 (*.f64 (*.f64 1/2 (pow.f64 N -2)) 1)))
(+.f64 (fma.f64 (sqrt.f64 (-.f64 (/.f64 1 N) (*.f64 1/4 (pow.f64 N -4)))) (sqrt.f64 (-.f64 (/.f64 1 N) (*.f64 1/4 (pow.f64 N -4)))) (neg.f64 (*.f64 (pow.f64 N -2) 1/2))) (fma.f64 (neg.f64 (pow.f64 N -2)) 1/2 (*.f64 (pow.f64 N -2) 1/2)))
(+.f64 (fma.f64 (sqrt.f64 (-.f64 (/.f64 1 N) (*.f64 1/4 (pow.f64 N -4)))) (sqrt.f64 (-.f64 (/.f64 1 N) (*.f64 1/4 (pow.f64 N -4)))) (neg.f64 (*.f64 (cbrt.f64 (*.f64 1/2 (pow.f64 N -2))) (cbrt.f64 (pow.f64 (*.f64 1/2 (pow.f64 N -2)) 2))))) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 1/2 (pow.f64 N -2)))) (cbrt.f64 (pow.f64 (*.f64 1/2 (pow.f64 N -2)) 2)) (*.f64 (cbrt.f64 (*.f64 1/2 (pow.f64 N -2))) (cbrt.f64 (pow.f64 (*.f64 1/2 (pow.f64 N -2)) 2)))))
(*.f64 1 (-.f64 (/.f64 1 N) (fma.f64 1/4 (pow.f64 N -4) (*.f64 1/2 (pow.f64 N -2)))))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 (/.f64 1 N) (fma.f64 1/4 (pow.f64 N -4) (*.f64 1/2 (pow.f64 N -2))))) 2) (cbrt.f64 (-.f64 (/.f64 1 N) (fma.f64 1/4 (pow.f64 N -4) (*.f64 1/2 (pow.f64 N -2))))))
(*.f64 (sqrt.f64 (-.f64 (/.f64 1 N) (fma.f64 1/4 (pow.f64 N -4) (*.f64 1/2 (pow.f64 N -2))))) (sqrt.f64 (-.f64 (/.f64 1 N) (fma.f64 1/4 (pow.f64 N -4) (*.f64 1/2 (pow.f64 N -2))))))
(/.f64 (-.f64 (pow.f64 (-.f64 (/.f64 1 N) (*.f64 1/4 (pow.f64 N -4))) 3) (*.f64 1/8 (pow.f64 N -6))) (+.f64 (pow.f64 (-.f64 (/.f64 1 N) (*.f64 1/4 (pow.f64 N -4))) 2) (+.f64 (pow.f64 (*.f64 1/2 (pow.f64 N -2)) 2) (*.f64 (-.f64 (/.f64 1 N) (*.f64 1/4 (pow.f64 N -4))) (*.f64 1/2 (pow.f64 N -2))))))
(/.f64 (-.f64 (pow.f64 (-.f64 (/.f64 1 N) (*.f64 1/4 (pow.f64 N -4))) 2) (pow.f64 (*.f64 1/2 (pow.f64 N -2)) 2)) (+.f64 (-.f64 (/.f64 1 N) (*.f64 1/4 (pow.f64 N -4))) (*.f64 1/2 (pow.f64 N -2))))
(pow.f64 (-.f64 (/.f64 1 N) (fma.f64 1/4 (pow.f64 N -4) (*.f64 1/2 (pow.f64 N -2)))) 1)
(pow.f64 (cbrt.f64 (-.f64 (/.f64 1 N) (fma.f64 1/4 (pow.f64 N -4) (*.f64 1/2 (pow.f64 N -2))))) 3)
(pow.f64 (pow.f64 (-.f64 (/.f64 1 N) (fma.f64 1/4 (pow.f64 N -4) (*.f64 1/2 (pow.f64 N -2)))) 3) 1/3)
(pow.f64 (sqrt.f64 (-.f64 (/.f64 1 N) (fma.f64 1/4 (pow.f64 N -4) (*.f64 1/2 (pow.f64 N -2))))) 2)
(log.f64 (exp.f64 (-.f64 (/.f64 1 N) (fma.f64 1/4 (pow.f64 N -4) (*.f64 1/2 (pow.f64 N -2))))))
(log.f64 (+.f64 1 (expm1.f64 (-.f64 (/.f64 1 N) (fma.f64 1/4 (pow.f64 N -4) (*.f64 1/2 (pow.f64 N -2)))))))
(cbrt.f64 (pow.f64 (-.f64 (/.f64 1 N) (fma.f64 1/4 (pow.f64 N -4) (*.f64 1/2 (pow.f64 N -2)))) 3))
(expm1.f64 (log1p.f64 (-.f64 (/.f64 1 N) (fma.f64 1/4 (pow.f64 N -4) (*.f64 1/2 (pow.f64 N -2))))))
(exp.f64 (log.f64 (-.f64 (/.f64 1 N) (fma.f64 1/4 (pow.f64 N -4) (*.f64 1/2 (pow.f64 N -2))))))
(exp.f64 (*.f64 (log.f64 (-.f64 (/.f64 1 N) (fma.f64 1/4 (pow.f64 N -4) (*.f64 1/2 (pow.f64 N -2))))) 1))
(log1p.f64 (expm1.f64 (-.f64 (/.f64 1 N) (fma.f64 1/4 (pow.f64 N -4) (*.f64 1/2 (pow.f64 N -2))))))
(fma.f64 1 (/.f64 1 N) (neg.f64 (fma.f64 1/4 (pow.f64 N -4) (*.f64 1/2 (pow.f64 N -2)))))
(fma.f64 1 (-.f64 (/.f64 1 N) (*.f64 1/4 (pow.f64 N -4))) (neg.f64 (*.f64 1/2 (pow.f64 N -2))))
(fma.f64 (cbrt.f64 (pow.f64 N -2)) (/.f64 1 (cbrt.f64 N)) (neg.f64 (fma.f64 1/4 (pow.f64 N -4) (*.f64 1/2 (pow.f64 N -2)))))
(fma.f64 (pow.f64 (cbrt.f64 (-.f64 (/.f64 1 N) (*.f64 1/4 (pow.f64 N -4)))) 2) (cbrt.f64 (-.f64 (/.f64 1 N) (*.f64 1/4 (pow.f64 N -4)))) (neg.f64 (*.f64 1/2 (pow.f64 N -2))))
(fma.f64 (sqrt.f64 (/.f64 1 N)) (sqrt.f64 (/.f64 1 N)) (neg.f64 (fma.f64 1/4 (pow.f64 N -4) (*.f64 1/2 (pow.f64 N -2)))))
(fma.f64 (sqrt.f64 (-.f64 (/.f64 1 N) (*.f64 1/4 (pow.f64 N -4)))) (sqrt.f64 (-.f64 (/.f64 1 N) (*.f64 1/4 (pow.f64 N -4)))) (neg.f64 (*.f64 1/2 (pow.f64 N -2))))
(+.f64 0 (*.f64 -1/2 (pow.f64 N -2)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (pow.f64 N -2)) -1/2)) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (pow.f64 N -2)) -1/2))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (pow.f64 N -2)) -1/2))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (pow.f64 N -2)) -1/2))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 -1/2 (pow.f64 N -2)))) 1)
(-.f64 (log.f64 (+.f64 1 (pow.f64 (expm1.f64 (*.f64 -1/2 (pow.f64 N -2))) 3))) (log.f64 (+.f64 1 (-.f64 (pow.f64 (expm1.f64 (*.f64 -1/2 (pow.f64 N -2))) 2) (expm1.f64 (*.f64 -1/2 (pow.f64 N -2)))))))
(-.f64 (log.f64 (-.f64 1 (pow.f64 (expm1.f64 (*.f64 -1/2 (pow.f64 N -2))) 2))) (log.f64 (-.f64 1 (expm1.f64 (*.f64 -1/2 (pow.f64 N -2))))))
(*.f64 -1/2 (pow.f64 N -2))
(*.f64 (pow.f64 N -2) -1/2)
(*.f64 1 (*.f64 -1/2 (pow.f64 N -2)))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 -1/2 (pow.f64 N -2))) 2) (cbrt.f64 (*.f64 -1/2 (pow.f64 N -2))))
(*.f64 (sqrt.f64 (*.f64 -1/2 (pow.f64 N -2))) (sqrt.f64 (*.f64 -1/2 (pow.f64 N -2))))
(pow.f64 (*.f64 -1/2 (pow.f64 N -2)) 1)
(pow.f64 (cbrt.f64 (*.f64 -1/2 (pow.f64 N -2))) 3)
(pow.f64 (*.f64 (pow.f64 N -6) -1/8) 1/3)
(pow.f64 (sqrt.f64 (*.f64 -1/2 (pow.f64 N -2))) 2)
(cbrt.f64 (*.f64 (pow.f64 N -6) -1/8))
(expm1.f64 (log1p.f64 (*.f64 -1/2 (pow.f64 N -2))))
(exp.f64 (log.f64 (*.f64 -1/2 (pow.f64 N -2))))
(exp.f64 (*.f64 (log.f64 (*.f64 -1/2 (pow.f64 N -2))) 1))
(log1p.f64 (expm1.f64 (*.f64 -1/2 (pow.f64 N -2))))
(-.f64 (fma.f64 1/3 (pow.f64 N -3) (*.f64 -1/2 (pow.f64 N -2))) (*.f64 1/4 (pow.f64 N -4)))
(-.f64 (exp.f64 (log1p.f64 (-.f64 (fma.f64 1/3 (pow.f64 N -3) (*.f64 -1/2 (pow.f64 N -2))) (*.f64 1/4 (pow.f64 N -4))))) 1)
(*.f64 1 (-.f64 (fma.f64 1/3 (pow.f64 N -3) (*.f64 -1/2 (pow.f64 N -2))) (*.f64 1/4 (pow.f64 N -4))))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 (fma.f64 1/3 (pow.f64 N -3) (*.f64 -1/2 (pow.f64 N -2))) (*.f64 1/4 (pow.f64 N -4)))) 2) (cbrt.f64 (-.f64 (fma.f64 1/3 (pow.f64 N -3) (*.f64 -1/2 (pow.f64 N -2))) (*.f64 1/4 (pow.f64 N -4)))))
(*.f64 (sqrt.f64 (-.f64 (fma.f64 1/3 (pow.f64 N -3) (*.f64 -1/2 (pow.f64 N -2))) (*.f64 1/4 (pow.f64 N -4)))) (sqrt.f64 (-.f64 (fma.f64 1/3 (pow.f64 N -3) (*.f64 -1/2 (pow.f64 N -2))) (*.f64 1/4 (pow.f64 N -4)))))
(/.f64 (+.f64 (pow.f64 (*.f64 1/3 (pow.f64 N -3)) 3) (pow.f64 (-.f64 (*.f64 -1/2 (pow.f64 N -2)) (*.f64 1/4 (pow.f64 N -4))) 3)) (+.f64 (pow.f64 (*.f64 1/3 (pow.f64 N -3)) 2) (-.f64 (pow.f64 (-.f64 (*.f64 -1/2 (pow.f64 N -2)) (*.f64 1/4 (pow.f64 N -4))) 2) (*.f64 (*.f64 1/3 (pow.f64 N -3)) (-.f64 (*.f64 -1/2 (pow.f64 N -2)) (*.f64 1/4 (pow.f64 N -4)))))))
(/.f64 (-.f64 (pow.f64 (*.f64 1/3 (pow.f64 N -3)) 2) (pow.f64 (-.f64 (*.f64 -1/2 (pow.f64 N -2)) (*.f64 1/4 (pow.f64 N -4))) 2)) (-.f64 (*.f64 1/3 (pow.f64 N -3)) (-.f64 (*.f64 -1/2 (pow.f64 N -2)) (*.f64 1/4 (pow.f64 N -4)))))
(pow.f64 (-.f64 (fma.f64 1/3 (pow.f64 N -3) (*.f64 -1/2 (pow.f64 N -2))) (*.f64 1/4 (pow.f64 N -4))) 1)
(pow.f64 (cbrt.f64 (-.f64 (fma.f64 1/3 (pow.f64 N -3) (*.f64 -1/2 (pow.f64 N -2))) (*.f64 1/4 (pow.f64 N -4)))) 3)
(pow.f64 (pow.f64 (-.f64 (fma.f64 1/3 (pow.f64 N -3) (*.f64 -1/2 (pow.f64 N -2))) (*.f64 1/4 (pow.f64 N -4))) 3) 1/3)
(pow.f64 (sqrt.f64 (-.f64 (fma.f64 1/3 (pow.f64 N -3) (*.f64 -1/2 (pow.f64 N -2))) (*.f64 1/4 (pow.f64 N -4)))) 2)
(log.f64 (exp.f64 (-.f64 (fma.f64 1/3 (pow.f64 N -3) (*.f64 -1/2 (pow.f64 N -2))) (*.f64 1/4 (pow.f64 N -4)))))
(log.f64 (+.f64 1 (expm1.f64 (-.f64 (fma.f64 1/3 (pow.f64 N -3) (*.f64 -1/2 (pow.f64 N -2))) (*.f64 1/4 (pow.f64 N -4))))))
(cbrt.f64 (pow.f64 (-.f64 (fma.f64 1/3 (pow.f64 N -3) (*.f64 -1/2 (pow.f64 N -2))) (*.f64 1/4 (pow.f64 N -4))) 3))
(expm1.f64 (log1p.f64 (-.f64 (fma.f64 1/3 (pow.f64 N -3) (*.f64 -1/2 (pow.f64 N -2))) (*.f64 1/4 (pow.f64 N -4)))))
(exp.f64 (log.f64 (-.f64 (fma.f64 1/3 (pow.f64 N -3) (*.f64 -1/2 (pow.f64 N -2))) (*.f64 1/4 (pow.f64 N -4)))))
(exp.f64 (*.f64 (log.f64 (-.f64 (fma.f64 1/3 (pow.f64 N -3) (*.f64 -1/2 (pow.f64 N -2))) (*.f64 1/4 (pow.f64 N -4)))) 1))
(log1p.f64 (expm1.f64 (-.f64 (fma.f64 1/3 (pow.f64 N -3) (*.f64 -1/2 (pow.f64 N -2))) (*.f64 1/4 (pow.f64 N -4)))))
(fma.f64 1/3 (pow.f64 N -3) (-.f64 (*.f64 -1/2 (pow.f64 N -2)) (*.f64 1/4 (pow.f64 N -4))))
(fma.f64 1 (*.f64 1/3 (pow.f64 N -3)) (-.f64 (*.f64 -1/2 (pow.f64 N -2)) (*.f64 1/4 (pow.f64 N -4))))
(fma.f64 1 (-.f64 (*.f64 -1/2 (pow.f64 N -2)) (*.f64 1/4 (pow.f64 N -4))) (*.f64 1/3 (pow.f64 N -3)))
(fma.f64 (pow.f64 (/.f64 (cbrt.f64 1/3) N) 2) (/.f64 (cbrt.f64 1/3) N) (-.f64 (*.f64 -1/2 (pow.f64 N -2)) (*.f64 1/4 (pow.f64 N -4))))
(fma.f64 (pow.f64 (cbrt.f64 (-.f64 (*.f64 -1/2 (pow.f64 N -2)) (*.f64 1/4 (pow.f64 N -4)))) 2) (cbrt.f64 (-.f64 (*.f64 -1/2 (pow.f64 N -2)) (*.f64 1/4 (pow.f64 N -4)))) (*.f64 1/3 (pow.f64 N -3)))
(fma.f64 (sqrt.f64 (*.f64 1/3 (pow.f64 N -3))) (sqrt.f64 (*.f64 1/3 (pow.f64 N -3))) (-.f64 (*.f64 -1/2 (pow.f64 N -2)) (*.f64 1/4 (pow.f64 N -4))))
(fma.f64 (sqrt.f64 (-.f64 (*.f64 -1/2 (pow.f64 N -2)) (*.f64 1/4 (pow.f64 N -4)))) (sqrt.f64 (-.f64 (*.f64 -1/2 (pow.f64 N -2)) (*.f64 1/4 (pow.f64 N -4)))) (*.f64 1/3 (pow.f64 N -3)))
Outputs
(/.f64 1/4 (pow.f64 N 4))
(+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 N 3))) (*.f64 1/4 (/.f64 1 (pow.f64 N 4))))
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 1/4 (pow.f64 N 4)))
(+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 N 3))) (+.f64 (*.f64 1/2 (/.f64 1 (pow.f64 N 2))) (*.f64 1/4 (/.f64 1 (pow.f64 N 4)))))
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (+.f64 (/.f64 1/4 (pow.f64 N 4)) (/.f64 1/2 (pow.f64 N 2))))
(+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 N 3))) (+.f64 (*.f64 1/2 (/.f64 1 (pow.f64 N 2))) (+.f64 (*.f64 4/3 (/.f64 1 N)) (*.f64 1/4 (/.f64 1 (pow.f64 N 4))))))
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (+.f64 (+.f64 (/.f64 1/2 (pow.f64 N 2)) (/.f64 4/3 N)) (/.f64 1/4 (pow.f64 N 4))))
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (+.f64 (/.f64 1/4 (pow.f64 N 4)) (+.f64 (/.f64 1/2 (pow.f64 N 2)) (/.f64 4/3 N))))
(/.f64 -1/2 (pow.f64 N 2))
(-.f64 (*.f64 1/3 (/.f64 1 (pow.f64 N 3))) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 1/2 (pow.f64 N 2)))
(-.f64 (*.f64 1/3 (/.f64 1 (pow.f64 N 3))) (+.f64 (*.f64 1/4 (/.f64 1 (pow.f64 N 4))) (*.f64 1/2 (/.f64 1 (pow.f64 N 2)))))
(-.f64 (-.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 1/2 (pow.f64 N 2))) (/.f64 1/4 (pow.f64 N 4)))
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (-.f64 (/.f64 -1/4 (pow.f64 N 4)) (/.f64 1/2 (pow.f64 N 2))))
(-.f64 (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 N 3))) (*.f64 1/3 (/.f64 1 (pow.f64 N 5)))) (+.f64 (*.f64 1/4 (/.f64 1 (pow.f64 N 4))) (*.f64 1/2 (/.f64 1 (pow.f64 N 2)))))
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(fma.f64 1/3 (pow.f64 N -3) (fma.f64 -1/2 (pow.f64 N -2) (*.f64 -1/4 (pow.f64 N -4))))
(pow.f64 (sqrt.f64 (-.f64 (fma.f64 1/3 (pow.f64 N -3) (*.f64 -1/2 (pow.f64 N -2))) (*.f64 1/4 (pow.f64 N -4)))) 2)
(+.f64 (fma.f64 1/3 (pow.f64 N -3) (*.f64 -1/2 (pow.f64 N -2))) (*.f64 -1/4 (pow.f64 N -4)))
(fma.f64 1/3 (pow.f64 N -3) (fma.f64 -1/2 (pow.f64 N -2) (*.f64 -1/4 (pow.f64 N -4))))
(log.f64 (exp.f64 (-.f64 (fma.f64 1/3 (pow.f64 N -3) (*.f64 -1/2 (pow.f64 N -2))) (*.f64 1/4 (pow.f64 N -4)))))
(+.f64 (fma.f64 1/3 (pow.f64 N -3) (*.f64 -1/2 (pow.f64 N -2))) (*.f64 -1/4 (pow.f64 N -4)))
(fma.f64 1/3 (pow.f64 N -3) (fma.f64 -1/2 (pow.f64 N -2) (*.f64 -1/4 (pow.f64 N -4))))
(log.f64 (+.f64 1 (expm1.f64 (-.f64 (fma.f64 1/3 (pow.f64 N -3) (*.f64 -1/2 (pow.f64 N -2))) (*.f64 1/4 (pow.f64 N -4))))))
(+.f64 (fma.f64 1/3 (pow.f64 N -3) (*.f64 -1/2 (pow.f64 N -2))) (*.f64 -1/4 (pow.f64 N -4)))
(fma.f64 1/3 (pow.f64 N -3) (fma.f64 -1/2 (pow.f64 N -2) (*.f64 -1/4 (pow.f64 N -4))))
(cbrt.f64 (pow.f64 (-.f64 (fma.f64 1/3 (pow.f64 N -3) (*.f64 -1/2 (pow.f64 N -2))) (*.f64 1/4 (pow.f64 N -4))) 3))
(+.f64 (fma.f64 1/3 (pow.f64 N -3) (*.f64 -1/2 (pow.f64 N -2))) (*.f64 -1/4 (pow.f64 N -4)))
(fma.f64 1/3 (pow.f64 N -3) (fma.f64 -1/2 (pow.f64 N -2) (*.f64 -1/4 (pow.f64 N -4))))
(expm1.f64 (log1p.f64 (-.f64 (fma.f64 1/3 (pow.f64 N -3) (*.f64 -1/2 (pow.f64 N -2))) (*.f64 1/4 (pow.f64 N -4)))))
(+.f64 (fma.f64 1/3 (pow.f64 N -3) (*.f64 -1/2 (pow.f64 N -2))) (*.f64 -1/4 (pow.f64 N -4)))
(fma.f64 1/3 (pow.f64 N -3) (fma.f64 -1/2 (pow.f64 N -2) (*.f64 -1/4 (pow.f64 N -4))))
(exp.f64 (log.f64 (-.f64 (fma.f64 1/3 (pow.f64 N -3) (*.f64 -1/2 (pow.f64 N -2))) (*.f64 1/4 (pow.f64 N -4)))))
(+.f64 (fma.f64 1/3 (pow.f64 N -3) (*.f64 -1/2 (pow.f64 N -2))) (*.f64 -1/4 (pow.f64 N -4)))
(fma.f64 1/3 (pow.f64 N -3) (fma.f64 -1/2 (pow.f64 N -2) (*.f64 -1/4 (pow.f64 N -4))))
(exp.f64 (*.f64 (log.f64 (-.f64 (fma.f64 1/3 (pow.f64 N -3) (*.f64 -1/2 (pow.f64 N -2))) (*.f64 1/4 (pow.f64 N -4)))) 1))
(+.f64 (fma.f64 1/3 (pow.f64 N -3) (*.f64 -1/2 (pow.f64 N -2))) (*.f64 -1/4 (pow.f64 N -4)))
(fma.f64 1/3 (pow.f64 N -3) (fma.f64 -1/2 (pow.f64 N -2) (*.f64 -1/4 (pow.f64 N -4))))
(log1p.f64 (expm1.f64 (-.f64 (fma.f64 1/3 (pow.f64 N -3) (*.f64 -1/2 (pow.f64 N -2))) (*.f64 1/4 (pow.f64 N -4)))))
(+.f64 (fma.f64 1/3 (pow.f64 N -3) (*.f64 -1/2 (pow.f64 N -2))) (*.f64 -1/4 (pow.f64 N -4)))
(fma.f64 1/3 (pow.f64 N -3) (fma.f64 -1/2 (pow.f64 N -2) (*.f64 -1/4 (pow.f64 N -4))))
(fma.f64 1/3 (pow.f64 N -3) (-.f64 (*.f64 -1/2 (pow.f64 N -2)) (*.f64 1/4 (pow.f64 N -4))))
(+.f64 (fma.f64 1/3 (pow.f64 N -3) (*.f64 -1/2 (pow.f64 N -2))) (*.f64 -1/4 (pow.f64 N -4)))
(fma.f64 1/3 (pow.f64 N -3) (fma.f64 -1/2 (pow.f64 N -2) (*.f64 -1/4 (pow.f64 N -4))))
(fma.f64 1 (*.f64 1/3 (pow.f64 N -3)) (-.f64 (*.f64 -1/2 (pow.f64 N -2)) (*.f64 1/4 (pow.f64 N -4))))
(+.f64 (fma.f64 1/3 (pow.f64 N -3) (*.f64 -1/2 (pow.f64 N -2))) (*.f64 -1/4 (pow.f64 N -4)))
(fma.f64 1/3 (pow.f64 N -3) (fma.f64 -1/2 (pow.f64 N -2) (*.f64 -1/4 (pow.f64 N -4))))
(fma.f64 1 (-.f64 (*.f64 -1/2 (pow.f64 N -2)) (*.f64 1/4 (pow.f64 N -4))) (*.f64 1/3 (pow.f64 N -3)))
(+.f64 (fma.f64 1/3 (pow.f64 N -3) (*.f64 -1/2 (pow.f64 N -2))) (*.f64 -1/4 (pow.f64 N -4)))
(fma.f64 1/3 (pow.f64 N -3) (fma.f64 -1/2 (pow.f64 N -2) (*.f64 -1/4 (pow.f64 N -4))))
(fma.f64 (pow.f64 (/.f64 (cbrt.f64 1/3) N) 2) (/.f64 (cbrt.f64 1/3) N) (-.f64 (*.f64 -1/2 (pow.f64 N -2)) (*.f64 1/4 (pow.f64 N -4))))
(+.f64 (pow.f64 (/.f64 (cbrt.f64 1/3) N) 3) (+.f64 (*.f64 -1/2 (pow.f64 N -2)) (*.f64 -1/4 (pow.f64 N -4))))
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (fma.f64 -1/2 (pow.f64 N -2) (*.f64 -1/4 (pow.f64 N -4))))
(fma.f64 (pow.f64 (cbrt.f64 (-.f64 (*.f64 -1/2 (pow.f64 N -2)) (*.f64 1/4 (pow.f64 N -4)))) 2) (cbrt.f64 (-.f64 (*.f64 -1/2 (pow.f64 N -2)) (*.f64 1/4 (pow.f64 N -4)))) (*.f64 1/3 (pow.f64 N -3)))
(+.f64 (fma.f64 1/3 (pow.f64 N -3) (*.f64 -1/2 (pow.f64 N -2))) (*.f64 -1/4 (pow.f64 N -4)))
(fma.f64 1/3 (pow.f64 N -3) (fma.f64 -1/2 (pow.f64 N -2) (*.f64 -1/4 (pow.f64 N -4))))
(fma.f64 (sqrt.f64 (*.f64 1/3 (pow.f64 N -3))) (sqrt.f64 (*.f64 1/3 (pow.f64 N -3))) (-.f64 (*.f64 -1/2 (pow.f64 N -2)) (*.f64 1/4 (pow.f64 N -4))))
(+.f64 (fma.f64 1/3 (pow.f64 N -3) (*.f64 -1/2 (pow.f64 N -2))) (*.f64 -1/4 (pow.f64 N -4)))
(fma.f64 1/3 (pow.f64 N -3) (fma.f64 -1/2 (pow.f64 N -2) (*.f64 -1/4 (pow.f64 N -4))))
(fma.f64 (sqrt.f64 (-.f64 (*.f64 -1/2 (pow.f64 N -2)) (*.f64 1/4 (pow.f64 N -4)))) (sqrt.f64 (-.f64 (*.f64 -1/2 (pow.f64 N -2)) (*.f64 1/4 (pow.f64 N -4)))) (*.f64 1/3 (pow.f64 N -3)))
(+.f64 (fma.f64 1/3 (pow.f64 N -3) (*.f64 -1/2 (pow.f64 N -2))) (*.f64 -1/4 (pow.f64 N -4)))
(fma.f64 1/3 (pow.f64 N -3) (fma.f64 -1/2 (pow.f64 N -2) (*.f64 -1/4 (pow.f64 N -4))))

eval839.0ms (9.4%)

Compiler

Compiled 18977 to 15633 computations (17.6% saved)

prune162.0ms (1.8%)

Pruning

13 alts after pruning (10 fresh and 3 done)

PrunedKeptTotal
New7278735
Fresh20222
Picked415
Done426
Total75513768
Accuracy
100.0%
Counts
768 → 13
Alt Table
Click to see full alt table
StatusAccuracyProgram
94.2%
(pow.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 3) 1/3)
✓23.6%
(pow.f64 (sqrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))) 2)
▶99.2%
(pow.f64 (sqrt.f64 (log1p.f64 (/.f64 1 N))) 2)
✓84.5%
(/.f64 1 N)
▶92.0%
(-.f64 (/.f64 1 N) (/.f64 1/2 (pow.f64 N 2)))
99.7%
(-.f64 (log1p.f64 (pow.f64 N -3)) (log1p.f64 (-.f64 (pow.f64 N -2) (/.f64 1 N))))
94.1%
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 N (/.f64 (pow.f64 N 3) (+.f64 N -1/2))))
▶94.2%
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (*.f64 (pow.f64 N -2) (+.f64 N -1/2)))
94.1%
(*.f64 (pow.f64 N -3) (+.f64 1/3 (*.f64 N (+.f64 N -1/2))))
▶99.8%
(log1p.f64 (/.f64 1 N))
✓26.1%
(log.f64 (+.f64 1 (/.f64 1 N)))
▶95.2%
(exp.f64 (log.f64 (log1p.f64 (/.f64 1 N))))
98.9%
(cbrt.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 3))
Compiler

Compiled 226 to 182 computations (19.5% saved)

localize260.0ms (2.9%)

Localize:

Found 12 expressions with local error:

NewAccuracyProgram
✓99.8%
(log1p.f64 (/.f64 1 N))
✓99.8%
(sqrt.f64 (log1p.f64 (/.f64 1 N)))
✓99.3%
(pow.f64 (sqrt.f64 (log1p.f64 (/.f64 1 N))) 2)
✓100.0%
(log.f64 (log1p.f64 (/.f64 1 N)))
✓99.8%
(log1p.f64 (/.f64 1 N))
✓95.3%
(exp.f64 (log.f64 (log1p.f64 (/.f64 1 N))))
✓99.9%
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (*.f64 (pow.f64 N -2) (+.f64 N -1/2)))
✓99.6%
(*.f64 (pow.f64 N -2) (+.f64 N -1/2))
99.3%
(/.f64 1/3 (pow.f64 N 3))
99.9%
(-.f64 (/.f64 1 N) (/.f64 1/2 (pow.f64 N 2)))
99.7%
(/.f64 1/2 (pow.f64 N 2))
✓99.8%
(log1p.f64 (/.f64 1 N))
Compiler

Compiled 116 to 87 computations (25% saved)

series8.0ms (0.1%)

Counts
9 → 92
Calls

27 calls:

TimeVariablePointExpression
1.0ms
N
@0
(log.f64 (log1p.f64 (/.f64 1 N)))
1.0ms
N
@-inf
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (*.f64 (pow.f64 N -2) (+.f64 N -1/2)))
1.0ms
N
@-inf
(pow.f64 (sqrt.f64 (log1p.f64 (/.f64 1 N))) 2)
1.0ms
N
@inf
(pow.f64 (sqrt.f64 (log1p.f64 (/.f64 1 N))) 2)
0.0ms
N
@0
(sqrt.f64 (log1p.f64 (/.f64 1 N)))

rewrite272.0ms (3.1%)

Algorithm
1×batch-egg-rewrite
Rules
1214×log-prod
1096×fma-def
773×log1p-expm1-u
773×expm1-log1p-u
434×fma-neg
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
024177
1306173
23650173
Stop Event
1×node limit
Counts
9 → 338
Calls
Call 1
Inputs
(log1p.f64 (/.f64 1 N))
(*.f64 (pow.f64 N -2) (+.f64 N -1/2))
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (*.f64 (pow.f64 N -2) (+.f64 N -1/2)))
(exp.f64 (log.f64 (log1p.f64 (/.f64 1 N))))
(log1p.f64 (/.f64 1 N))
(log.f64 (log1p.f64 (/.f64 1 N)))
(pow.f64 (sqrt.f64 (log1p.f64 (/.f64 1 N))) 2)
(sqrt.f64 (log1p.f64 (/.f64 1 N)))
(log1p.f64 (/.f64 1 N))
Outputs
(+.f64 0 (log1p.f64 (/.f64 1 N)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (+.f64 1 (/.f64 1 N))) (cbrt.f64 (+.f64 1 (/.f64 1 N))))) (log.f64 (cbrt.f64 (+.f64 1 (/.f64 1 N)))))
(+.f64 (log.f64 (hypot.f64 1 (pow.f64 N -1/2))) (log.f64 (hypot.f64 1 (pow.f64 N -1/2))))
(-.f64 (exp.f64 (log1p.f64 (log1p.f64 (/.f64 1 N)))) 1)
(*.f64 1 (log1p.f64 (/.f64 1 N)))
(*.f64 (log1p.f64 (/.f64 1 N)) 1)
(*.f64 (sqrt.f64 (log1p.f64 (/.f64 1 N))) (sqrt.f64 (log1p.f64 (/.f64 1 N))))
(*.f64 (cbrt.f64 (log1p.f64 (/.f64 1 N))) (pow.f64 (cbrt.f64 (log1p.f64 (/.f64 1 N))) 2))
(*.f64 (cbrt.f64 (log1p.f64 (/.f64 1 N))) (*.f64 (cbrt.f64 (sqrt.f64 (log1p.f64 (/.f64 1 N)))) (sqrt.f64 (log1p.f64 (/.f64 1 N)))))
(*.f64 (pow.f64 (cbrt.f64 (log1p.f64 (/.f64 1 N))) 2) (cbrt.f64 (log1p.f64 (/.f64 1 N))))
(*.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 1/4) (*.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 1/4) (sqrt.f64 (log1p.f64 (/.f64 1 N)))))
(*.f64 (*.f64 (sqrt.f64 (log1p.f64 (/.f64 1 N))) (pow.f64 (log1p.f64 (/.f64 1 N)) 1/4)) (pow.f64 (log1p.f64 (/.f64 1 N)) 1/4))
(*.f64 (*.f64 (sqrt.f64 (log1p.f64 (/.f64 1 N))) (cbrt.f64 (log1p.f64 (/.f64 1 N)))) (cbrt.f64 (sqrt.f64 (log1p.f64 (/.f64 1 N)))))
(pow.f64 (log1p.f64 (/.f64 1 N)) 1)
(pow.f64 (sqrt.f64 (log1p.f64 (/.f64 1 N))) 2)
(pow.f64 (cbrt.f64 (log1p.f64 (/.f64 1 N))) 3)
(pow.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 2) 1/2)
(pow.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 3) 1/3)
(pow.f64 (exp.f64 1) (log.f64 (log1p.f64 (/.f64 1 N))))
(pow.f64 (exp.f64 (cbrt.f64 (pow.f64 (log.f64 (log1p.f64 (/.f64 1 N))) 2))) (cbrt.f64 (log.f64 (log1p.f64 (/.f64 1 N)))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (log1p.f64 (/.f64 1 N))))) (sqrt.f64 (log.f64 (log1p.f64 (/.f64 1 N)))))
(sqrt.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 2))
(log.f64 (+.f64 1 (/.f64 1 N)))
(cbrt.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 3))
(expm1.f64 (log1p.f64 (log1p.f64 (/.f64 1 N))))
(exp.f64 (log.f64 (log1p.f64 (/.f64 1 N))))
(+.f64 (/.f64 1 N) (*.f64 (pow.f64 N -2) -1/2))
(+.f64 (/.f64 1 N) (*.f64 (*.f64 (pow.f64 N -2) -1/2) 1))
(+.f64 0 (*.f64 (pow.f64 N -2) (+.f64 N -1/2)))
(+.f64 (*.f64 (pow.f64 N -2) -1/2) (/.f64 1 N))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 (pow.f64 N -2)) (+.f64 N -1/2))) (cbrt.f64 (pow.f64 (exp.f64 (pow.f64 N -2)) (+.f64 N -1/2))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (pow.f64 N -2)) (+.f64 N -1/2)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (pow.f64 N -2)) (+.f64 N -1/2)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (pow.f64 N -2)) (+.f64 N -1/2)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (pow.f64 N -2) (+.f64 N -1/2)))) 1)
(/.f64 (+.f64 (pow.f64 N -3) (pow.f64 (*.f64 (pow.f64 N -2) -1/2) 3)) (+.f64 (pow.f64 N -2) (-.f64 (*.f64 (*.f64 (pow.f64 N -2) -1/2) (*.f64 (pow.f64 N -2) -1/2)) (*.f64 (/.f64 1 N) (*.f64 (pow.f64 N -2) -1/2)))))
(/.f64 (-.f64 (pow.f64 N -2) (*.f64 (*.f64 (pow.f64 N -2) -1/2) (*.f64 (pow.f64 N -2) -1/2))) (-.f64 (/.f64 1 N) (*.f64 (pow.f64 N -2) -1/2)))
(/.f64 (*.f64 (pow.f64 N -2) (+.f64 (pow.f64 N 3) -1/8)) (-.f64 (fma.f64 N N 1/4) (*.f64 N -1/2)))
(/.f64 (*.f64 (pow.f64 N -2) (fma.f64 N N -1/4)) (+.f64 N 1/2))
(/.f64 (*.f64 (+.f64 (pow.f64 N 3) -1/8) (pow.f64 N -2)) (-.f64 (fma.f64 N N 1/4) (*.f64 N -1/2)))
(/.f64 (*.f64 (fma.f64 N N -1/4) (pow.f64 N -2)) (+.f64 N 1/2))
(pow.f64 (*.f64 (pow.f64 N -2) (+.f64 N -1/2)) 1)
(pow.f64 (cbrt.f64 (*.f64 (pow.f64 N -2) (+.f64 N -1/2))) 3)
(pow.f64 (pow.f64 (*.f64 (pow.f64 N -2) (+.f64 N -1/2)) 3) 1/3)
(pow.f64 (*.f64 (/.f64 1 N) (sqrt.f64 (+.f64 N -1/2))) 2)
(sqrt.f64 (*.f64 (pow.f64 N -4) (pow.f64 (+.f64 N -1/2) 2)))
(log.f64 (pow.f64 (exp.f64 (pow.f64 N -2)) (+.f64 N -1/2)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (pow.f64 N -2) (+.f64 N -1/2)))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (/.f64 1 N))) (exp.f64 (*.f64 (pow.f64 N -2) -1/2))))
(log.f64 (*.f64 (exp.f64 (*.f64 (pow.f64 N -2) -1/2)) (exp.f64 (/.f64 1 N))))
(log.f64 (*.f64 (exp.f64 (*.f64 (pow.f64 N -2) -1/2)) (+.f64 1 (expm1.f64 (/.f64 1 N)))))
(cbrt.f64 (pow.f64 (*.f64 (pow.f64 N -2) (+.f64 N -1/2)) 3))
(expm1.f64 (log1p.f64 (*.f64 (pow.f64 N -2) (+.f64 N -1/2))))
(exp.f64 (log.f64 (*.f64 (pow.f64 N -2) (+.f64 N -1/2))))
(exp.f64 (*.f64 (log.f64 (*.f64 (pow.f64 N -2) (+.f64 N -1/2))) 1))
(log1p.f64 (expm1.f64 (*.f64 (pow.f64 N -2) (+.f64 N -1/2))))
(fma.f64 1 (/.f64 1 N) (*.f64 (pow.f64 N -2) -1/2))
(fma.f64 1 (/.f64 1 N) (*.f64 (*.f64 (pow.f64 N -2) -1/2) 1))
(fma.f64 1 (*.f64 (pow.f64 N -2) -1/2) (/.f64 1 N))
(fma.f64 N (pow.f64 N -2) (*.f64 (pow.f64 N -2) -1/2))
(fma.f64 N (pow.f64 N -2) (*.f64 (*.f64 (pow.f64 N -2) -1/2) 1))
(fma.f64 (/.f64 1 N) 1 (*.f64 (pow.f64 N -2) -1/2))
(fma.f64 (/.f64 1 N) 1 (*.f64 (*.f64 (pow.f64 N -2) -1/2) 1))
(fma.f64 (/.f64 1 N) (*.f64 (/.f64 1 N) N) (*.f64 (pow.f64 N -2) -1/2))
(fma.f64 (/.f64 1 N) (*.f64 (/.f64 1 N) N) (*.f64 (*.f64 (pow.f64 N -2) -1/2) 1))
(fma.f64 (/.f64 1 N) (*.f64 (/.f64 1 N) -1/2) (/.f64 1 N))
(fma.f64 (pow.f64 N -2) N (*.f64 (pow.f64 N -2) -1/2))
(fma.f64 (pow.f64 N -2) N (*.f64 (*.f64 (pow.f64 N -2) -1/2) 1))
(fma.f64 (pow.f64 N -2) -1/2 (/.f64 1 N))
(fma.f64 -1/2 (pow.f64 N -2) (/.f64 1 N))
(fma.f64 -1 (/.f64 1 (neg.f64 N)) (*.f64 (pow.f64 N -2) -1/2))
(fma.f64 -1 (/.f64 1 (neg.f64 N)) (*.f64 (*.f64 (pow.f64 N -2) -1/2) 1))
(fma.f64 (cbrt.f64 (pow.f64 N -2)) (/.f64 1 (cbrt.f64 N)) (*.f64 (pow.f64 N -2) -1/2))
(fma.f64 (cbrt.f64 (pow.f64 N -2)) (/.f64 1 (cbrt.f64 N)) (*.f64 (*.f64 (pow.f64 N -2) -1/2) 1))
(fma.f64 (cbrt.f64 (pow.f64 N -4)) (*.f64 (cbrt.f64 (pow.f64 N -2)) N) (*.f64 (pow.f64 N -2) -1/2))
(fma.f64 (cbrt.f64 (pow.f64 N -4)) (*.f64 (cbrt.f64 (pow.f64 N -2)) N) (*.f64 (*.f64 (pow.f64 N -2) -1/2) 1))
(fma.f64 (cbrt.f64 (pow.f64 N -4)) (*.f64 (cbrt.f64 (pow.f64 N -2)) -1/2) (/.f64 1 N))
(fma.f64 (/.f64 1 (cbrt.f64 N)) (cbrt.f64 (pow.f64 N -2)) (*.f64 (pow.f64 N -2) -1/2))
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(*.f64 (cbrt.f64 (log1p.f64 (/.f64 1 N))) (*.f64 (cbrt.f64 (sqrt.f64 (log1p.f64 (/.f64 1 N)))) (sqrt.f64 (log1p.f64 (/.f64 1 N)))))
(*.f64 (pow.f64 (cbrt.f64 (log1p.f64 (/.f64 1 N))) 2) (cbrt.f64 (log1p.f64 (/.f64 1 N))))
(*.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 1/4) (*.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 1/4) (sqrt.f64 (log1p.f64 (/.f64 1 N)))))
(*.f64 (*.f64 (sqrt.f64 (log1p.f64 (/.f64 1 N))) (pow.f64 (log1p.f64 (/.f64 1 N)) 1/4)) (pow.f64 (log1p.f64 (/.f64 1 N)) 1/4))
(*.f64 (*.f64 (sqrt.f64 (log1p.f64 (/.f64 1 N))) (cbrt.f64 (log1p.f64 (/.f64 1 N)))) (cbrt.f64 (sqrt.f64 (log1p.f64 (/.f64 1 N)))))
(pow.f64 (log1p.f64 (/.f64 1 N)) 1)
(pow.f64 (sqrt.f64 (log1p.f64 (/.f64 1 N))) 2)
(pow.f64 (cbrt.f64 (log1p.f64 (/.f64 1 N))) 3)
(pow.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 2) 1/2)
(pow.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 3) 1/3)
(pow.f64 (exp.f64 1) (log.f64 (log1p.f64 (/.f64 1 N))))
(pow.f64 (exp.f64 (cbrt.f64 (pow.f64 (log.f64 (log1p.f64 (/.f64 1 N))) 2))) (cbrt.f64 (log.f64 (log1p.f64 (/.f64 1 N)))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (log1p.f64 (/.f64 1 N))))) (sqrt.f64 (log.f64 (log1p.f64 (/.f64 1 N)))))
(sqrt.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 2))
(log.f64 (+.f64 1 (/.f64 1 N)))
(cbrt.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 3))
(expm1.f64 (log1p.f64 (log1p.f64 (/.f64 1 N))))
(log1p.f64 (/.f64 1 N))
(+.f64 0 (log1p.f64 (/.f64 1 N)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (+.f64 1 (/.f64 1 N))) (cbrt.f64 (+.f64 1 (/.f64 1 N))))) (log.f64 (cbrt.f64 (+.f64 1 (/.f64 1 N)))))
(+.f64 (log.f64 (hypot.f64 1 (pow.f64 N -1/2))) (log.f64 (hypot.f64 1 (pow.f64 N -1/2))))
(-.f64 (exp.f64 (log1p.f64 (log1p.f64 (/.f64 1 N)))) 1)
(*.f64 1 (log1p.f64 (/.f64 1 N)))
(*.f64 (log1p.f64 (/.f64 1 N)) 1)
(*.f64 (sqrt.f64 (log1p.f64 (/.f64 1 N))) (sqrt.f64 (log1p.f64 (/.f64 1 N))))
(*.f64 (cbrt.f64 (log1p.f64 (/.f64 1 N))) (pow.f64 (cbrt.f64 (log1p.f64 (/.f64 1 N))) 2))
(*.f64 (cbrt.f64 (log1p.f64 (/.f64 1 N))) (*.f64 (cbrt.f64 (sqrt.f64 (log1p.f64 (/.f64 1 N)))) (sqrt.f64 (log1p.f64 (/.f64 1 N)))))
(*.f64 (pow.f64 (cbrt.f64 (log1p.f64 (/.f64 1 N))) 2) (cbrt.f64 (log1p.f64 (/.f64 1 N))))
(*.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 1/4) (*.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 1/4) (sqrt.f64 (log1p.f64 (/.f64 1 N)))))
(*.f64 (*.f64 (sqrt.f64 (log1p.f64 (/.f64 1 N))) (pow.f64 (log1p.f64 (/.f64 1 N)) 1/4)) (pow.f64 (log1p.f64 (/.f64 1 N)) 1/4))
(*.f64 (*.f64 (sqrt.f64 (log1p.f64 (/.f64 1 N))) (cbrt.f64 (log1p.f64 (/.f64 1 N)))) (cbrt.f64 (sqrt.f64 (log1p.f64 (/.f64 1 N)))))
(pow.f64 (log1p.f64 (/.f64 1 N)) 1)
(pow.f64 (sqrt.f64 (log1p.f64 (/.f64 1 N))) 2)
(pow.f64 (cbrt.f64 (log1p.f64 (/.f64 1 N))) 3)
(pow.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 2) 1/2)
(pow.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 3) 1/3)
(pow.f64 (exp.f64 1) (log.f64 (log1p.f64 (/.f64 1 N))))
(pow.f64 (exp.f64 (cbrt.f64 (pow.f64 (log.f64 (log1p.f64 (/.f64 1 N))) 2))) (cbrt.f64 (log.f64 (log1p.f64 (/.f64 1 N)))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (log1p.f64 (/.f64 1 N))))) (sqrt.f64 (log.f64 (log1p.f64 (/.f64 1 N)))))
(sqrt.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 2))
(log.f64 (+.f64 1 (/.f64 1 N)))
(cbrt.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 3))
(expm1.f64 (log1p.f64 (log1p.f64 (/.f64 1 N))))
(exp.f64 (log.f64 (log1p.f64 (/.f64 1 N))))
(+.f64 (log.f64 (log1p.f64 (/.f64 1 N))) 0)
(+.f64 (log.f64 (sqrt.f64 (log1p.f64 (/.f64 1 N)))) (log.f64 (sqrt.f64 (log1p.f64 (/.f64 1 N)))))
(+.f64 0 (log.f64 (log1p.f64 (/.f64 1 N))))
(+.f64 (log.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 1/4)) (log.f64 (*.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 1/4) (sqrt.f64 (log1p.f64 (/.f64 1 N))))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (log1p.f64 (/.f64 1 N))) 2)) (log.f64 (cbrt.f64 (log1p.f64 (/.f64 1 N)))))
(+.f64 (log.f64 (cbrt.f64 (log1p.f64 (/.f64 1 N)))) (log.f64 (pow.f64 (cbrt.f64 (log1p.f64 (/.f64 1 N))) 2)))
(+.f64 (log.f64 (cbrt.f64 (log1p.f64 (/.f64 1 N)))) (log.f64 (*.f64 (cbrt.f64 (sqrt.f64 (log1p.f64 (/.f64 1 N)))) (sqrt.f64 (log1p.f64 (/.f64 1 N))))))
(+.f64 (log.f64 (*.f64 (sqrt.f64 (log1p.f64 (/.f64 1 N))) (pow.f64 (log1p.f64 (/.f64 1 N)) 1/4))) (log.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 1/4)))
(+.f64 (log.f64 (*.f64 (sqrt.f64 (log1p.f64 (/.f64 1 N))) (cbrt.f64 (log1p.f64 (/.f64 1 N))))) (log.f64 (cbrt.f64 (sqrt.f64 (log1p.f64 (/.f64 1 N))))))
(-.f64 (exp.f64 (log1p.f64 (log.f64 (log1p.f64 (/.f64 1 N))))) 1)
(*.f64 1 (log.f64 (log1p.f64 (/.f64 1 N))))
(*.f64 (log.f64 (log1p.f64 (/.f64 1 N))) 1)
(*.f64 2 (log.f64 (sqrt.f64 (log1p.f64 (/.f64 1 N)))))
(*.f64 (log.f64 (sqrt.f64 (log1p.f64 (/.f64 1 N)))) 2)
(*.f64 (cbrt.f64 (log.f64 (log1p.f64 (/.f64 1 N)))) (cbrt.f64 (pow.f64 (log.f64 (log1p.f64 (/.f64 1 N))) 2)))
(*.f64 (cbrt.f64 (pow.f64 (log.f64 (log1p.f64 (/.f64 1 N))) 2)) (cbrt.f64 (log.f64 (log1p.f64 (/.f64 1 N)))))
(*.f64 (sqrt.f64 (log.f64 (log1p.f64 (/.f64 1 N)))) (sqrt.f64 (log.f64 (log1p.f64 (/.f64 1 N)))))
(pow.f64 (log.f64 (log1p.f64 (/.f64 1 N))) 1)
(pow.f64 (cbrt.f64 (log.f64 (log1p.f64 (/.f64 1 N)))) 3)
(pow.f64 (pow.f64 (log.f64 (log1p.f64 (/.f64 1 N))) 3) 1/3)
(pow.f64 (sqrt.f64 (log.f64 (log1p.f64 (/.f64 1 N)))) 2)
(sqrt.f64 (pow.f64 (log.f64 (log1p.f64 (/.f64 1 N))) 2))
(cbrt.f64 (pow.f64 (log.f64 (log1p.f64 (/.f64 1 N))) 3))
(expm1.f64 (log1p.f64 (log.f64 (log1p.f64 (/.f64 1 N)))))
(exp.f64 (log.f64 (log.f64 (log1p.f64 (/.f64 1 N)))))
(exp.f64 (*.f64 (log.f64 (log.f64 (log1p.f64 (/.f64 1 N)))) 1))
(log1p.f64 (-.f64 (log1p.f64 (/.f64 1 N)) 1))
(fma.f64 1 (log.f64 (sqrt.f64 (log1p.f64 (/.f64 1 N)))) (log.f64 (sqrt.f64 (log1p.f64 (/.f64 1 N)))))
(fma.f64 1/2 (log.f64 (log1p.f64 (/.f64 1 N))) (log.f64 (sqrt.f64 (log1p.f64 (/.f64 1 N)))))
(fma.f64 (*.f64 (cbrt.f64 (log.f64 (sqrt.f64 (log1p.f64 (/.f64 1 N))))) (cbrt.f64 (log.f64 (sqrt.f64 (log1p.f64 (/.f64 1 N)))))) (cbrt.f64 (log.f64 (sqrt.f64 (log1p.f64 (/.f64 1 N))))) (log.f64 (sqrt.f64 (log1p.f64 (/.f64 1 N)))))
(fma.f64 (sqrt.f64 (log.f64 (sqrt.f64 (log1p.f64 (/.f64 1 N))))) (sqrt.f64 (log.f64 (sqrt.f64 (log1p.f64 (/.f64 1 N))))) (log.f64 (sqrt.f64 (log1p.f64 (/.f64 1 N)))))
(+.f64 0 (log1p.f64 (/.f64 1 N)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (+.f64 1 (/.f64 1 N))) (cbrt.f64 (+.f64 1 (/.f64 1 N))))) (log.f64 (cbrt.f64 (+.f64 1 (/.f64 1 N)))))
(+.f64 (log.f64 (hypot.f64 1 (pow.f64 N -1/2))) (log.f64 (hypot.f64 1 (pow.f64 N -1/2))))
(-.f64 (exp.f64 (log1p.f64 (log1p.f64 (/.f64 1 N)))) 1)
(*.f64 1 (log1p.f64 (/.f64 1 N)))
(*.f64 (log1p.f64 (/.f64 1 N)) 1)
(*.f64 (sqrt.f64 (log1p.f64 (/.f64 1 N))) (sqrt.f64 (log1p.f64 (/.f64 1 N))))
(*.f64 (cbrt.f64 (log1p.f64 (/.f64 1 N))) (pow.f64 (cbrt.f64 (log1p.f64 (/.f64 1 N))) 2))
(*.f64 (cbrt.f64 (log1p.f64 (/.f64 1 N))) (*.f64 (cbrt.f64 (sqrt.f64 (log1p.f64 (/.f64 1 N)))) (sqrt.f64 (log1p.f64 (/.f64 1 N)))))
(*.f64 (pow.f64 (cbrt.f64 (log1p.f64 (/.f64 1 N))) 2) (cbrt.f64 (log1p.f64 (/.f64 1 N))))
(*.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 1/4) (*.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 1/4) (sqrt.f64 (log1p.f64 (/.f64 1 N)))))
(*.f64 (*.f64 (sqrt.f64 (log1p.f64 (/.f64 1 N))) (pow.f64 (log1p.f64 (/.f64 1 N)) 1/4)) (pow.f64 (log1p.f64 (/.f64 1 N)) 1/4))
(*.f64 (*.f64 (sqrt.f64 (log1p.f64 (/.f64 1 N))) (cbrt.f64 (log1p.f64 (/.f64 1 N)))) (cbrt.f64 (sqrt.f64 (log1p.f64 (/.f64 1 N)))))
(sqrt.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 2))
(log.f64 (+.f64 1 (/.f64 1 N)))
(cbrt.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 3))
(expm1.f64 (log1p.f64 (log1p.f64 (/.f64 1 N))))
(exp.f64 (log.f64 (log1p.f64 (/.f64 1 N))))
(log1p.f64 (/.f64 1 N))
(+.f64 0 (sqrt.f64 (log1p.f64 (/.f64 1 N))))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (log1p.f64 (/.f64 1 N))))) (cbrt.f64 (exp.f64 (sqrt.f64 (log1p.f64 (/.f64 1 N))))))) (log.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (log1p.f64 (/.f64 1 N)))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (log1p.f64 (/.f64 1 N)))))) (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (log1p.f64 (/.f64 1 N)))))))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (log1p.f64 (/.f64 1 N))))) 1)
(*.f64 1 (sqrt.f64 (log1p.f64 (/.f64 1 N))))
(*.f64 (sqrt.f64 (log1p.f64 (/.f64 1 N))) 1)
(*.f64 (cbrt.f64 (sqrt.f64 (log1p.f64 (/.f64 1 N)))) (cbrt.f64 (log1p.f64 (/.f64 1 N))))
(*.f64 (cbrt.f64 (log1p.f64 (/.f64 1 N))) (cbrt.f64 (sqrt.f64 (log1p.f64 (/.f64 1 N)))))
(*.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 1/4) (pow.f64 (log1p.f64 (/.f64 1 N)) 1/4))
(*.f64 (pow.f64 1 1/2) (sqrt.f64 (log1p.f64 (/.f64 1 N))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (log1p.f64 (/.f64 1 N))) 2) 1/2) (pow.f64 (cbrt.f64 (log1p.f64 (/.f64 1 N))) 1/2))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (log1p.f64 (/.f64 1 N))) 2)) (sqrt.f64 (cbrt.f64 (log1p.f64 (/.f64 1 N)))))
(pow.f64 (log1p.f64 (/.f64 1 N)) 1/2)
(pow.f64 (sqrt.f64 (log1p.f64 (/.f64 1 N))) 1)
(pow.f64 (cbrt.f64 (sqrt.f64 (log1p.f64 (/.f64 1 N)))) 3)
(pow.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 3/2) 1/3)
(pow.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 1/4) 2)
(fabs.f64 (sqrt.f64 (log1p.f64 (/.f64 1 N))))
(log.f64 (exp.f64 (sqrt.f64 (log1p.f64 (/.f64 1 N)))))
(log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (log1p.f64 (/.f64 1 N))))))
(cbrt.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 3/2))
(expm1.f64 (log1p.f64 (sqrt.f64 (log1p.f64 (/.f64 1 N)))))
(exp.f64 (log.f64 (sqrt.f64 (log1p.f64 (/.f64 1 N)))))
(exp.f64 (*.f64 (log.f64 (log1p.f64 (/.f64 1 N))) 1/2))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (log1p.f64 (/.f64 1 N)))) 1))
(log1p.f64 (expm1.f64 (sqrt.f64 (log1p.f64 (/.f64 1 N)))))
(+.f64 0 (log1p.f64 (/.f64 1 N)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (+.f64 1 (/.f64 1 N))) (cbrt.f64 (+.f64 1 (/.f64 1 N))))) (log.f64 (cbrt.f64 (+.f64 1 (/.f64 1 N)))))
(+.f64 (log.f64 (hypot.f64 1 (pow.f64 N -1/2))) (log.f64 (hypot.f64 1 (pow.f64 N -1/2))))
(-.f64 (exp.f64 (log1p.f64 (log1p.f64 (/.f64 1 N)))) 1)
(*.f64 1 (log1p.f64 (/.f64 1 N)))
(*.f64 (log1p.f64 (/.f64 1 N)) 1)
(*.f64 (sqrt.f64 (log1p.f64 (/.f64 1 N))) (sqrt.f64 (log1p.f64 (/.f64 1 N))))
(*.f64 (cbrt.f64 (log1p.f64 (/.f64 1 N))) (pow.f64 (cbrt.f64 (log1p.f64 (/.f64 1 N))) 2))
(*.f64 (cbrt.f64 (log1p.f64 (/.f64 1 N))) (*.f64 (cbrt.f64 (sqrt.f64 (log1p.f64 (/.f64 1 N)))) (sqrt.f64 (log1p.f64 (/.f64 1 N)))))
(*.f64 (pow.f64 (cbrt.f64 (log1p.f64 (/.f64 1 N))) 2) (cbrt.f64 (log1p.f64 (/.f64 1 N))))
(*.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 1/4) (*.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 1/4) (sqrt.f64 (log1p.f64 (/.f64 1 N)))))
(*.f64 (*.f64 (sqrt.f64 (log1p.f64 (/.f64 1 N))) (pow.f64 (log1p.f64 (/.f64 1 N)) 1/4)) (pow.f64 (log1p.f64 (/.f64 1 N)) 1/4))
(*.f64 (*.f64 (sqrt.f64 (log1p.f64 (/.f64 1 N))) (cbrt.f64 (log1p.f64 (/.f64 1 N)))) (cbrt.f64 (sqrt.f64 (log1p.f64 (/.f64 1 N)))))
(pow.f64 (log1p.f64 (/.f64 1 N)) 1)
(pow.f64 (sqrt.f64 (log1p.f64 (/.f64 1 N))) 2)
(pow.f64 (cbrt.f64 (log1p.f64 (/.f64 1 N))) 3)
(pow.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 2) 1/2)
(pow.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 3) 1/3)
(pow.f64 (exp.f64 1) (log.f64 (log1p.f64 (/.f64 1 N))))
(pow.f64 (exp.f64 (cbrt.f64 (pow.f64 (log.f64 (log1p.f64 (/.f64 1 N))) 2))) (cbrt.f64 (log.f64 (log1p.f64 (/.f64 1 N)))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (log1p.f64 (/.f64 1 N))))) (sqrt.f64 (log.f64 (log1p.f64 (/.f64 1 N)))))
(sqrt.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 2))
(log.f64 (+.f64 1 (/.f64 1 N)))
(cbrt.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 3))
(expm1.f64 (log1p.f64 (log1p.f64 (/.f64 1 N))))
(exp.f64 (log.f64 (log1p.f64 (/.f64 1 N))))

simplify269.0ms (3%)

Algorithm
1×egg-herbie
Rules
1080×times-frac
744×log-prod
586×fma-neg
546×associate-*r*
504×associate-*l*
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
059816263
1145114974
2481114947
Stop Event
1×node limit
Counts
430 → 382
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 -1/2 (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))))
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(*.f64 (cbrt.f64 (log1p.f64 (/.f64 1 N))) (*.f64 (cbrt.f64 (sqrt.f64 (log1p.f64 (/.f64 1 N)))) (sqrt.f64 (log1p.f64 (/.f64 1 N)))))
(*.f64 (pow.f64 (cbrt.f64 (log1p.f64 (/.f64 1 N))) 2) (cbrt.f64 (log1p.f64 (/.f64 1 N))))
(*.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 1/4) (*.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 1/4) (sqrt.f64 (log1p.f64 (/.f64 1 N)))))
(*.f64 (*.f64 (sqrt.f64 (log1p.f64 (/.f64 1 N))) (pow.f64 (log1p.f64 (/.f64 1 N)) 1/4)) (pow.f64 (log1p.f64 (/.f64 1 N)) 1/4))
(*.f64 (*.f64 (sqrt.f64 (log1p.f64 (/.f64 1 N))) (cbrt.f64 (log1p.f64 (/.f64 1 N)))) (cbrt.f64 (sqrt.f64 (log1p.f64 (/.f64 1 N)))))
(pow.f64 (log1p.f64 (/.f64 1 N)) 1)
(pow.f64 (sqrt.f64 (log1p.f64 (/.f64 1 N))) 2)
(pow.f64 (cbrt.f64 (log1p.f64 (/.f64 1 N))) 3)
(pow.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 2) 1/2)
(pow.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 3) 1/3)
(pow.f64 (exp.f64 1) (log.f64 (log1p.f64 (/.f64 1 N))))
(pow.f64 (exp.f64 (cbrt.f64 (pow.f64 (log.f64 (log1p.f64 (/.f64 1 N))) 2))) (cbrt.f64 (log.f64 (log1p.f64 (/.f64 1 N)))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (log1p.f64 (/.f64 1 N))))) (sqrt.f64 (log.f64 (log1p.f64 (/.f64 1 N)))))
(sqrt.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 2))
(log.f64 (+.f64 1 (/.f64 1 N)))
(cbrt.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 3))
(expm1.f64 (log1p.f64 (log1p.f64 (/.f64 1 N))))
(exp.f64 (log.f64 (log1p.f64 (/.f64 1 N))))
(+.f64 (log.f64 (log1p.f64 (/.f64 1 N))) 0)
(+.f64 (log.f64 (sqrt.f64 (log1p.f64 (/.f64 1 N)))) (log.f64 (sqrt.f64 (log1p.f64 (/.f64 1 N)))))
(+.f64 0 (log.f64 (log1p.f64 (/.f64 1 N))))
(+.f64 (log.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 1/4)) (log.f64 (*.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 1/4) (sqrt.f64 (log1p.f64 (/.f64 1 N))))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (log1p.f64 (/.f64 1 N))) 2)) (log.f64 (cbrt.f64 (log1p.f64 (/.f64 1 N)))))
(+.f64 (log.f64 (cbrt.f64 (log1p.f64 (/.f64 1 N)))) (log.f64 (pow.f64 (cbrt.f64 (log1p.f64 (/.f64 1 N))) 2)))
(+.f64 (log.f64 (cbrt.f64 (log1p.f64 (/.f64 1 N)))) (log.f64 (*.f64 (cbrt.f64 (sqrt.f64 (log1p.f64 (/.f64 1 N)))) (sqrt.f64 (log1p.f64 (/.f64 1 N))))))
(+.f64 (log.f64 (*.f64 (sqrt.f64 (log1p.f64 (/.f64 1 N))) (pow.f64 (log1p.f64 (/.f64 1 N)) 1/4))) (log.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 1/4)))
(+.f64 (log.f64 (*.f64 (sqrt.f64 (log1p.f64 (/.f64 1 N))) (cbrt.f64 (log1p.f64 (/.f64 1 N))))) (log.f64 (cbrt.f64 (sqrt.f64 (log1p.f64 (/.f64 1 N))))))
(-.f64 (exp.f64 (log1p.f64 (log.f64 (log1p.f64 (/.f64 1 N))))) 1)
(*.f64 1 (log.f64 (log1p.f64 (/.f64 1 N))))
(*.f64 (log.f64 (log1p.f64 (/.f64 1 N))) 1)
(*.f64 2 (log.f64 (sqrt.f64 (log1p.f64 (/.f64 1 N)))))
(*.f64 (log.f64 (sqrt.f64 (log1p.f64 (/.f64 1 N)))) 2)
(*.f64 (cbrt.f64 (log.f64 (log1p.f64 (/.f64 1 N)))) (cbrt.f64 (pow.f64 (log.f64 (log1p.f64 (/.f64 1 N))) 2)))
(*.f64 (cbrt.f64 (pow.f64 (log.f64 (log1p.f64 (/.f64 1 N))) 2)) (cbrt.f64 (log.f64 (log1p.f64 (/.f64 1 N)))))
(*.f64 (sqrt.f64 (log.f64 (log1p.f64 (/.f64 1 N)))) (sqrt.f64 (log.f64 (log1p.f64 (/.f64 1 N)))))
(pow.f64 (log.f64 (log1p.f64 (/.f64 1 N))) 1)
(pow.f64 (cbrt.f64 (log.f64 (log1p.f64 (/.f64 1 N)))) 3)
(pow.f64 (pow.f64 (log.f64 (log1p.f64 (/.f64 1 N))) 3) 1/3)
(pow.f64 (sqrt.f64 (log.f64 (log1p.f64 (/.f64 1 N)))) 2)
(sqrt.f64 (pow.f64 (log.f64 (log1p.f64 (/.f64 1 N))) 2))
(cbrt.f64 (pow.f64 (log.f64 (log1p.f64 (/.f64 1 N))) 3))
(expm1.f64 (log1p.f64 (log.f64 (log1p.f64 (/.f64 1 N)))))
(exp.f64 (log.f64 (log.f64 (log1p.f64 (/.f64 1 N)))))
(exp.f64 (*.f64 (log.f64 (log.f64 (log1p.f64 (/.f64 1 N)))) 1))
(log1p.f64 (-.f64 (log1p.f64 (/.f64 1 N)) 1))
(fma.f64 1 (log.f64 (sqrt.f64 (log1p.f64 (/.f64 1 N)))) (log.f64 (sqrt.f64 (log1p.f64 (/.f64 1 N)))))
(fma.f64 1/2 (log.f64 (log1p.f64 (/.f64 1 N))) (log.f64 (sqrt.f64 (log1p.f64 (/.f64 1 N)))))
(fma.f64 (*.f64 (cbrt.f64 (log.f64 (sqrt.f64 (log1p.f64 (/.f64 1 N))))) (cbrt.f64 (log.f64 (sqrt.f64 (log1p.f64 (/.f64 1 N)))))) (cbrt.f64 (log.f64 (sqrt.f64 (log1p.f64 (/.f64 1 N))))) (log.f64 (sqrt.f64 (log1p.f64 (/.f64 1 N)))))
(fma.f64 (sqrt.f64 (log.f64 (sqrt.f64 (log1p.f64 (/.f64 1 N))))) (sqrt.f64 (log.f64 (sqrt.f64 (log1p.f64 (/.f64 1 N))))) (log.f64 (sqrt.f64 (log1p.f64 (/.f64 1 N)))))
(+.f64 0 (log1p.f64 (/.f64 1 N)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (+.f64 1 (/.f64 1 N))) (cbrt.f64 (+.f64 1 (/.f64 1 N))))) (log.f64 (cbrt.f64 (+.f64 1 (/.f64 1 N)))))
(+.f64 (log.f64 (hypot.f64 1 (pow.f64 N -1/2))) (log.f64 (hypot.f64 1 (pow.f64 N -1/2))))
(-.f64 (exp.f64 (log1p.f64 (log1p.f64 (/.f64 1 N)))) 1)
(*.f64 1 (log1p.f64 (/.f64 1 N)))
(*.f64 (log1p.f64 (/.f64 1 N)) 1)
(*.f64 (sqrt.f64 (log1p.f64 (/.f64 1 N))) (sqrt.f64 (log1p.f64 (/.f64 1 N))))
(*.f64 (cbrt.f64 (log1p.f64 (/.f64 1 N))) (pow.f64 (cbrt.f64 (log1p.f64 (/.f64 1 N))) 2))
(*.f64 (cbrt.f64 (log1p.f64 (/.f64 1 N))) (*.f64 (cbrt.f64 (sqrt.f64 (log1p.f64 (/.f64 1 N)))) (sqrt.f64 (log1p.f64 (/.f64 1 N)))))
(*.f64 (pow.f64 (cbrt.f64 (log1p.f64 (/.f64 1 N))) 2) (cbrt.f64 (log1p.f64 (/.f64 1 N))))
(*.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 1/4) (*.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 1/4) (sqrt.f64 (log1p.f64 (/.f64 1 N)))))
(*.f64 (*.f64 (sqrt.f64 (log1p.f64 (/.f64 1 N))) (pow.f64 (log1p.f64 (/.f64 1 N)) 1/4)) (pow.f64 (log1p.f64 (/.f64 1 N)) 1/4))
(*.f64 (*.f64 (sqrt.f64 (log1p.f64 (/.f64 1 N))) (cbrt.f64 (log1p.f64 (/.f64 1 N)))) (cbrt.f64 (sqrt.f64 (log1p.f64 (/.f64 1 N)))))
(sqrt.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 2))
(log.f64 (+.f64 1 (/.f64 1 N)))
(cbrt.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 3))
(expm1.f64 (log1p.f64 (log1p.f64 (/.f64 1 N))))
(exp.f64 (log.f64 (log1p.f64 (/.f64 1 N))))
(log1p.f64 (/.f64 1 N))
(+.f64 0 (sqrt.f64 (log1p.f64 (/.f64 1 N))))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (log1p.f64 (/.f64 1 N))))) (cbrt.f64 (exp.f64 (sqrt.f64 (log1p.f64 (/.f64 1 N))))))) (log.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (log1p.f64 (/.f64 1 N)))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (log1p.f64 (/.f64 1 N)))))) (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (log1p.f64 (/.f64 1 N)))))))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (log1p.f64 (/.f64 1 N))))) 1)
(*.f64 1 (sqrt.f64 (log1p.f64 (/.f64 1 N))))
(*.f64 (sqrt.f64 (log1p.f64 (/.f64 1 N))) 1)
(*.f64 (cbrt.f64 (sqrt.f64 (log1p.f64 (/.f64 1 N)))) (cbrt.f64 (log1p.f64 (/.f64 1 N))))
(*.f64 (cbrt.f64 (log1p.f64 (/.f64 1 N))) (cbrt.f64 (sqrt.f64 (log1p.f64 (/.f64 1 N)))))
(*.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 1/4) (pow.f64 (log1p.f64 (/.f64 1 N)) 1/4))
(*.f64 (pow.f64 1 1/2) (sqrt.f64 (log1p.f64 (/.f64 1 N))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (log1p.f64 (/.f64 1 N))) 2) 1/2) (pow.f64 (cbrt.f64 (log1p.f64 (/.f64 1 N))) 1/2))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (log1p.f64 (/.f64 1 N))) 2)) (sqrt.f64 (cbrt.f64 (log1p.f64 (/.f64 1 N)))))
(pow.f64 (log1p.f64 (/.f64 1 N)) 1/2)
(pow.f64 (sqrt.f64 (log1p.f64 (/.f64 1 N))) 1)
(pow.f64 (cbrt.f64 (sqrt.f64 (log1p.f64 (/.f64 1 N)))) 3)
(pow.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 3/2) 1/3)
(pow.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 1/4) 2)
(fabs.f64 (sqrt.f64 (log1p.f64 (/.f64 1 N))))
(log.f64 (exp.f64 (sqrt.f64 (log1p.f64 (/.f64 1 N)))))
(log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (log1p.f64 (/.f64 1 N))))))
(cbrt.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 3/2))
(expm1.f64 (log1p.f64 (sqrt.f64 (log1p.f64 (/.f64 1 N)))))
(exp.f64 (log.f64 (sqrt.f64 (log1p.f64 (/.f64 1 N)))))
(exp.f64 (*.f64 (log.f64 (log1p.f64 (/.f64 1 N))) 1/2))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (log1p.f64 (/.f64 1 N)))) 1))
(log1p.f64 (expm1.f64 (sqrt.f64 (log1p.f64 (/.f64 1 N)))))
(+.f64 0 (log1p.f64 (/.f64 1 N)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (+.f64 1 (/.f64 1 N))) (cbrt.f64 (+.f64 1 (/.f64 1 N))))) (log.f64 (cbrt.f64 (+.f64 1 (/.f64 1 N)))))
(+.f64 (log.f64 (hypot.f64 1 (pow.f64 N -1/2))) (log.f64 (hypot.f64 1 (pow.f64 N -1/2))))
(-.f64 (exp.f64 (log1p.f64 (log1p.f64 (/.f64 1 N)))) 1)
(*.f64 1 (log1p.f64 (/.f64 1 N)))
(*.f64 (log1p.f64 (/.f64 1 N)) 1)
(*.f64 (sqrt.f64 (log1p.f64 (/.f64 1 N))) (sqrt.f64 (log1p.f64 (/.f64 1 N))))
(*.f64 (cbrt.f64 (log1p.f64 (/.f64 1 N))) (pow.f64 (cbrt.f64 (log1p.f64 (/.f64 1 N))) 2))
(*.f64 (cbrt.f64 (log1p.f64 (/.f64 1 N))) (*.f64 (cbrt.f64 (sqrt.f64 (log1p.f64 (/.f64 1 N)))) (sqrt.f64 (log1p.f64 (/.f64 1 N)))))
(*.f64 (pow.f64 (cbrt.f64 (log1p.f64 (/.f64 1 N))) 2) (cbrt.f64 (log1p.f64 (/.f64 1 N))))
(*.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 1/4) (*.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 1/4) (sqrt.f64 (log1p.f64 (/.f64 1 N)))))
(*.f64 (*.f64 (sqrt.f64 (log1p.f64 (/.f64 1 N))) (pow.f64 (log1p.f64 (/.f64 1 N)) 1/4)) (pow.f64 (log1p.f64 (/.f64 1 N)) 1/4))
(*.f64 (*.f64 (sqrt.f64 (log1p.f64 (/.f64 1 N))) (cbrt.f64 (log1p.f64 (/.f64 1 N)))) (cbrt.f64 (sqrt.f64 (log1p.f64 (/.f64 1 N)))))
(pow.f64 (log1p.f64 (/.f64 1 N)) 1)
(pow.f64 (sqrt.f64 (log1p.f64 (/.f64 1 N))) 2)
(pow.f64 (cbrt.f64 (log1p.f64 (/.f64 1 N))) 3)
(pow.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 2) 1/2)
(pow.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 3) 1/3)
(pow.f64 (exp.f64 1) (log.f64 (log1p.f64 (/.f64 1 N))))
(pow.f64 (exp.f64 (cbrt.f64 (pow.f64 (log.f64 (log1p.f64 (/.f64 1 N))) 2))) (cbrt.f64 (log.f64 (log1p.f64 (/.f64 1 N)))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (log1p.f64 (/.f64 1 N))))) (sqrt.f64 (log.f64 (log1p.f64 (/.f64 1 N)))))
(sqrt.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 2))
(log.f64 (+.f64 1 (/.f64 1 N)))
(cbrt.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 3))
(expm1.f64 (log1p.f64 (log1p.f64 (/.f64 1 N))))
(exp.f64 (log.f64 (log1p.f64 (/.f64 1 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 (-.f64 N (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 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 (pow.f64 N -2) (+.f64 N -1/2))
(-.f64 (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 N 3))) (/.f64 1 N)) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(+.f64 (/.f64 1 N) (-.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 1/2 (pow.f64 N 2))))
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (*.f64 (pow.f64 N -2) (+.f64 N -1/2)))
(-.f64 (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 N 3))) (/.f64 1 N)) (+.f64 (*.f64 1/4 (/.f64 1 (pow.f64 N 4))) (*.f64 1/2 (/.f64 1 (pow.f64 N 2)))))
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (-.f64 (/.f64 1 N) (+.f64 (/.f64 1/2 (pow.f64 N 2)) (/.f64 1/4 (pow.f64 N 4)))))
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (-.f64 (*.f64 (pow.f64 N -2) (+.f64 N -1/2)) (/.f64 1/4 (pow.f64 N 4))))
(/.f64 1 N)
(-.f64 (/.f64 1 N) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (/.f64 1 N) (/.f64 1/2 (pow.f64 N 2)))
(*.f64 (pow.f64 N -2) (+.f64 N -1/2))
(-.f64 (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 N 3))) (/.f64 1 N)) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(+.f64 (/.f64 1 N) (-.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 1/2 (pow.f64 N 2))))
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (*.f64 (pow.f64 N -2) (+.f64 N -1/2)))
(-.f64 (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 N 3))) (/.f64 1 N)) (+.f64 (*.f64 1/4 (/.f64 1 (pow.f64 N 4))) (*.f64 1/2 (/.f64 1 (pow.f64 N 2)))))
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (-.f64 (/.f64 1 N) (+.f64 (/.f64 1/2 (pow.f64 N 2)) (/.f64 1/4 (pow.f64 N 4)))))
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (-.f64 (*.f64 (pow.f64 N -2) (+.f64 N -1/2)) (/.f64 1/4 (pow.f64 N 4))))
(/.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 (pow.f64 N -2) (+.f64 N -1/2))
(-.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 (pow.f64 N -2) (+.f64 N -1/2))
(-.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 (pow.f64 N -2) (+.f64 N -1/2))
(/.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 (pow.f64 N -2) (+.f64 N -1/2))
(-.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 (pow.f64 N -2) (+.f64 N -1/2))
(-.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 (pow.f64 N -2) (+.f64 N -1/2))
(/.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 (pow.f64 N -2) (+.f64 N -1/2))
(-.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 (pow.f64 N -2) (+.f64 N -1/2))
(-.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 (pow.f64 N -2) (+.f64 N -1/2))
(/.f64 1/3 (pow.f64 N 3))
(-.f64 (*.f64 1/3 (/.f64 1 (pow.f64 N 3))) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 1/2 (pow.f64 N 2)))
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (*.f64 -1/2 (pow.f64 N -2)))
(-.f64 (+.f64 (/.f64 1 N) (*.f64 1/3 (/.f64 1 (pow.f64 N 3)))) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(+.f64 (/.f64 1 N) (-.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 1/2 (pow.f64 N 2))))
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (*.f64 (pow.f64 N -2) (+.f64 N -1/2)))
(-.f64 (+.f64 (/.f64 1 N) (*.f64 1/3 (/.f64 1 (pow.f64 N 3)))) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(+.f64 (/.f64 1 N) (-.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 1/2 (pow.f64 N 2))))
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (*.f64 (pow.f64 N -2) (+.f64 N -1/2)))
(/.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 (pow.f64 N -2) (+.f64 N -1/2))
(-.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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eval409.0ms (4.6%)

Compiler

Compiled 11210 to 8869 computations (20.9% saved)

prune162.0ms (1.8%)

Pruning

14 alts after pruning (7 fresh and 7 done)

PrunedKeptTotal
New6223625
Fresh145
Picked145
Done033
Total62414638
Accuracy
100.0%
Counts
638 → 14
Alt Table
Click to see full alt table
StatusAccuracyProgram
94.2%
(pow.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 3) 1/3)
✓23.6%
(pow.f64 (sqrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))) 2)
✓99.2%
(pow.f64 (sqrt.f64 (log1p.f64 (/.f64 1 N))) 2)
98.4%
(pow.f64 (cbrt.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 3/2)) 2)
91.6%
(/.f64 (*.f64 N (-.f64 N 1/2)) (pow.f64 N 3))
✓84.5%
(/.f64 1 N)
94.1%
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 N (/.f64 (pow.f64 N 3) (+.f64 N -1/2))))
✓94.2%
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (*.f64 (pow.f64 N -2) (+.f64 N -1/2)))
91.7%
(*.f64 (pow.f64 N -2) (+.f64 N -1/2))
94.1%
(*.f64 (pow.f64 N -3) (+.f64 1/3 (*.f64 N (+.f64 N -1/2))))
✓99.8%
(log1p.f64 (/.f64 1 N))
✓26.1%
(log.f64 (+.f64 1 (/.f64 1 N)))
✓95.2%
(exp.f64 (log.f64 (log1p.f64 (/.f64 1 N))))
98.9%
(cbrt.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 3))
Compiler

Compiled 850 to 590 computations (30.6% saved)

regimes33.0ms (0.4%)

Counts
52 → 1
Calls
Call 1
Inputs
(/.f64 1 N)
(log1p.f64 (/.f64 1 N))
(log.f64 (+.f64 1 (/.f64 1 N)))
(log.f64 (/.f64 (+.f64 N 1) N))
(neg.f64 (log.f64 (/.f64 N (+.f64 N 1))))
(*.f64 (pow.f64 N -2) (+.f64 N -1/2))
(-.f64 (/.f64 1 N) (/.f64 1/2 (pow.f64 N 2)))
(/.f64 (*.f64 N (-.f64 N 1/2)) (pow.f64 N 3))
(*.f64 (pow.f64 N -3) (+.f64 1/3 (*.f64 N (+.f64 N -1/2))))
(-.f64 (log1p.f64 N) (log.f64 N))
(-.f64 (log.f64 (+.f64 N 1)) (log.f64 N))
(*.f64 2 (log.f64 (sqrt.f64 (/.f64 (+.f64 N 1) N))))
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (*.f64 (pow.f64 N -2) (+.f64 N -1/2)))
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (*.f64 N (*.f64 (+.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 (/.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 N (/.f64 (pow.f64 N 3) (+.f64 N -1/2))))
(+.f64 (/.f64 1 N) (+.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 -1/2 (pow.f64 N 2))))
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 1 (/.f64 (pow.f64 N 3) (*.f64 N (-.f64 N 1/2)))))
(exp.f64 (log.f64 (log1p.f64 (/.f64 1 N))))
(cbrt.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 3))
(pow.f64 (sqrt.f64 (log1p.f64 (/.f64 1 N))) 2)
(pow.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 3) 1/3)
(+.f64 (*.f64 -1/2 (log.f64 N)) (log.f64 (/.f64 (+.f64 N 1) (sqrt.f64 N))))
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (pow.f64 (/.f64 (cbrt.f64 (*.f64 N (-.f64 N 1/2))) N) 3))
(/.f64 (-.f64 (*.f64 (pow.f64 N 3) -1/3) (*.f64 (pow.f64 N 4) (+.f64 N -1/2))) (neg.f64 (pow.f64 N 6)))
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (-.f64 (-.f64 (/.f64 1 N) (/.f64 1/4 (pow.f64 N 4))) (/.f64 1/2 (pow.f64 N 2))))
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (-.f64 (/.f64 1 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)))))
(exp.f64 (log.f64 (-.f64 (log1p.f64 N) (log.f64 N))))
(pow.f64 (sqrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))) 2)
(pow.f64 (cbrt.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 3/2)) 2)
(-.f64 (log1p.f64 (pow.f64 N -3)) (log1p.f64 (-.f64 (pow.f64 N -2) (/.f64 1 N))))
(pow.f64 (cbrt.f64 (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 3/2)) 2)
(+.f64 (log.f64 (*.f64 (cbrt.f64 (/.f64 (+.f64 N 1) N)) (cbrt.f64 (/.f64 (+.f64 N 1) N)))) (log.f64 (cbrt.f64 (/.f64 (+.f64 N 1) N))))
(pow.f64 (sqrt.f64 (+.f64 (/.f64 1/3 (pow.f64 N 3)) (+.f64 (/.f64 1 N) (+.f64 (/.f64 -1/2 (pow.f64 N 2)) (/.f64 -1/4 (pow.f64 N 4)))))) 2)
(+.f64 (/.f64 1 N) (+.f64 (/.f64 1/3 (pow.f64 N 3)) (-.f64 (log.f64 (+.f64 1 (expm1.f64 (*.f64 -1/2 (pow.f64 N -2))))) (/.f64 1/4 (pow.f64 N 4)))))
(fma.f64 (sqrt.f64 (log.f64 N)) (neg.f64 (sqrt.f64 (log.f64 N))) (log1p.f64 N))
(pow.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (-.f64 (log1p.f64 N) (log.f64 N)))) 3) 2)
(pow.f64 (log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (-.f64 (log1p.f64 N) (log.f64 N)))))) 2)
(pow.f64 (-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))))) 1) 2)
(*.f64 (cbrt.f64 (pow.f64 (log.f64 (+.f64 1 (/.f64 1 N))) 3/2)) (cbrt.f64 (pow.f64 (log.f64 (+.f64 1 (/.f64 1 N))) 3/2)))
(+.f64 (log.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 N 1)) 2) (sqrt.f64 N))) (log.f64 (/.f64 (cbrt.f64 (+.f64 N 1)) (sqrt.f64 N))))
(*.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 1 (/.f64 1 N)))) 2) (pow.f64 (cbrt.f64 (sqrt.f64 (log.f64 (+.f64 1 (/.f64 1 N))))) 2))
(+.f64 (/.f64 1 N) (/.f64 (-.f64 (/.f64 1/9 (pow.f64 N 6)) (+.f64 (*.f64 1/4 (pow.f64 N -4)) (/.f64 1/16 (pow.f64 N 8)))) (-.f64 (*.f64 1/3 (pow.f64 N -3)) (fma.f64 -1/2 (pow.f64 N -2) (*.f64 1/4 (pow.f64 N -4))))))
(*.f64 (+.f64 (sqrt.f64 (log1p.f64 N)) (sqrt.f64 (log.f64 N))) (-.f64 (sqrt.f64 (log1p.f64 N)) (sqrt.f64 (log.f64 N))))
(*.f64 (cbrt.f64 (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 3/2)) (cbrt.f64 (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 3/2)))
(*.f64 (cbrt.f64 (cbrt.f64 (log.f64 (+.f64 1 (/.f64 1 N))))) (cbrt.f64 (pow.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 1 (/.f64 1 N)))) 4) 2)))
(*.f64 (+.f64 (sqrt.f64 (log1p.f64 N)) (sqrt.f64 (log.f64 N))) (cbrt.f64 (pow.f64 (-.f64 (sqrt.f64 (log1p.f64 N)) (sqrt.f64 (log.f64 N))) 3)))
(pow.f64 (sqrt.f64 (+.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)))) 2)
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))) 2)) 3) (pow.f64 (cbrt.f64 (cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N)))) 3))
(*.f64 (pow.f64 (*.f64 (cbrt.f64 (cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N)))) (cbrt.f64 (cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))))) 3) (pow.f64 (cbrt.f64 (cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N)))) 3))
Outputs
(log1p.f64 (/.f64 1 N))
Calls

2 calls:

25.0ms
N
6.0ms
(-.f64 (log.f64 (+.f64 N 1)) (log.f64 N))
Results
AccuracySegmentsBranch
99.8%1N
99.8%1(-.f64 (log.f64 (+.f64 N 1)) (log.f64 N))
Compiler

Compiled 10 to 7 computations (30% saved)

regimes3.0ms (0%)

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

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

1 calls:

2.0ms
N
Results
AccuracySegmentsBranch
84.5%1N
Compiler

Compiled 2 to 1 computations (50% saved)

simplify2.0ms (0%)

Algorithm
1×egg-herbie
Rules
3×1-exp
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0924
11424
Stop Event
1×fuel
1×saturated
Calls
Call 1
Inputs
(log1p.f64 (/.f64 1 N))
(/.f64 1 N)
Outputs
(log1p.f64 (/.f64 1 N))
(/.f64 1 N)
Compiler

Compiled 9 to 7 computations (22.2% saved)

soundness871.0ms (9.8%)

Rules
1410×fma-neg
1324×log-prod
862×prod-diff
846×unpow-prod-down
822×log-prod
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01358
118158
2175958
046312494
1111611942
2414011728
057441
1938429
062114909
1145713698
2553313537
Stop Event
1×node limit
1×node limit
1×node limit
1×node limit
Compiler

Compiled 151 to 110 computations (27.2% saved)

end0.0ms (0%)

preprocess32.0ms (0.4%)

Compiler

Compiled 42 to 32 computations (23.8% saved)

Profiling

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