2log (problem 3.3.6)

Time bar (total: 6.4s)

analyze2.0ms (0%)

Algorithm
1×search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%100%0%0%0%0%0
0%0%100%0%0%0%0%1
0%0%50%0%0%50%0%2
50%25%25%0%0%50%0%3
75%37.5%12.5%0%0%50%0%4
87.5%43.7%6.2%0%0%50%0%5
93.8%46.9%3.1%0%0%50%0%6
96.9%48.4%1.6%0%0%50%0%7
98.4%49.2%0.8%0%0%50%0%8
99.2%49.6%0.4%0%0%50%0%9
99.6%49.8%0.2%0%0%50%0%10
99.8%49.9%0.1%0%0%50%0%11
99.9%49.9%0%0%0%50%0%12
Compiler

Compiled 9 to 7 computations (22.2% saved)

sample1.5s (23.6%)

Results
628.0ms4937×body256valid
578.0ms2040×body1024valid
189.0ms1018×body512valid
110.0ms261×body2048valid
Bogosity

preprocess472.0ms (7.4%)

Algorithm
1×egg-herbie
Rules
2592×fma-def
986×distribute-rgt-in
958×distribute-lft-in
834×fma-neg
770×associate-+r+
Problems
133×(-.f64 (log.f64 (+.f64 N 1)) (log.f64 N))
122×(log.f64 (+.f64 N 1))
1×No Errors
Iterations

Useful iterations: 6 (0.0ms)

IterNodesCost
017128
130104
262100
3122100
4269100
5522100
679296
7127896
8202596
9344196
10411496
11414296
12416696
13416696
14624496
15668196
16703396
17703396
18744096
19798796
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 28 to 19 computations (32.1% saved)

eval0.0ms (0%)

Compiler

Compiled 6 to 4 computations (33.3% saved)

prune2.0ms (0%)

Alt Table
Click to see full alt table
StatusAccuracyProgram
▶51.3%
(-.f64 (log1p.f64 N) (log.f64 N))
▶51.4%
(-.f64 (log.f64 (+.f64 N 1)) (log.f64 N))
▶51.3%
(-.f64 (log1p.f64 N) (log.f64 N))
▶51.4%
(-.f64 (log.f64 (+.f64 N 1)) (log.f64 N))
Compiler

Compiled 28 to 20 computations (28.6% saved)

localize145.0ms (2.3%)

Localize:

Found 4 expressions with local error:

NewAccuracyProgram
✓100.0%
(log1p.f64 N)
✓51.4%
(-.f64 (log1p.f64 N) (log.f64 N))
✓56.2%
(log.f64 (+.f64 N 1))
✓51.4%
(-.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))
0.0ms
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))

rewrite137.0ms (2.1%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
01358
117858
2175658
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 (log.f64 (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 3)) 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 (-.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 (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 (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)))
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(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 (-.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 (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 (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 (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 (-.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 (cbrt.f64 (pow.f64 (cbrt.f64 (log1p.f64 N)) 2)) 3) (pow.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 N))) 3))
(*.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 (*.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 (sqrt.f64 (cbrt.f64 (log1p.f64 N))) 3) (pow.f64 (sqrt.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))

simplify194.0ms (3%)

Algorithm
1×egg-herbie
Rules
862×log-prod
694×times-frac
570×cube-prod
532×swap-sqr
506×associate-*r*
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
046312494
1111111942
2413911728
Stop Event
1×node limit
Counts
388 → 268
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))))
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(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 (cbrt.f64 (pow.f64 (cbrt.f64 (log1p.f64 N)) 2)) 3) (pow.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 N))) 3))
(*.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 (*.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 (sqrt.f64 (cbrt.f64 (log1p.f64 N))) 3) (pow.f64 (sqrt.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 (fma.f64 -1/2 (pow.f64 N 2) N) (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 1/3 (/.f64 1 (pow.f64 N 3))) (/.f64 1 N)) (+.f64 (*.f64 1/4 (/.f64 1 (pow.f64 N 4))) (*.f64 1/2 (/.f64 1 (pow.f64 N 2)))))
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (-.f64 (/.f64 1 N) (+.f64 (/.f64 1/2 (pow.f64 N 2)) (/.f64 1/4 (pow.f64 N 4)))))
(+.f64 (/.f64 1 N) (+.f64 (/.f64 1/3 (pow.f64 N 3)) (-.f64 (/.f64 -1/2 (pow.f64 N 2)) (/.f64 1/4 (pow.f64 N 4)))))
(/.f64 1 N)
(-.f64 (/.f64 1 N) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (/.f64 1 N) (/.f64 1/2 (pow.f64 N 2)))
(+.f64 (/.f64 1 N) (/.f64 -1/2 (pow.f64 N 2)))
(-.f64 (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 N 3))) (/.f64 1 N)) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (-.f64 (/.f64 1 N) (/.f64 1/2 (pow.f64 N 2))))
(+.f64 (/.f64 1 N) (+.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 -1/2 (pow.f64 N 2))))
(-.f64 (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 N 3))) (/.f64 1 N)) (+.f64 (*.f64 1/4 (/.f64 1 (pow.f64 N 4))) (*.f64 1/2 (/.f64 1 (pow.f64 N 2)))))
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (-.f64 (/.f64 1 N) (+.f64 (/.f64 1/2 (pow.f64 N 2)) (/.f64 1/4 (pow.f64 N 4)))))
(+.f64 (/.f64 1 N) (+.f64 (/.f64 1/3 (pow.f64 N 3)) (-.f64 (/.f64 -1/2 (pow.f64 N 2)) (/.f64 1/4 (pow.f64 N 4)))))
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 (log.f64 N) (+.f64 (/.f64 1 N) (/.f64 -1/2 (pow.f64 N 2))))
(+.f64 (/.f64 1 N) (+.f64 (log.f64 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 -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 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 N))) (+.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 1/3 (pow.f64 N 3)) (log.f64 (/.f64 -1 N))) (+.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 (fma.f64 -1/2 (pow.f64 N 2) N) (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 1/3 (/.f64 1 (pow.f64 N 3))) (/.f64 1 N)) (+.f64 (*.f64 1/4 (/.f64 1 (pow.f64 N 4))) (*.f64 1/2 (/.f64 1 (pow.f64 N 2)))))
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (-.f64 (/.f64 1 N) (+.f64 (/.f64 1/2 (pow.f64 N 2)) (/.f64 1/4 (pow.f64 N 4)))))
(+.f64 (/.f64 1 N) (+.f64 (/.f64 1/3 (pow.f64 N 3)) (-.f64 (/.f64 -1/2 (pow.f64 N 2)) (/.f64 1/4 (pow.f64 N 4)))))
(/.f64 1 N)
(-.f64 (/.f64 1 N) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (/.f64 1 N) (/.f64 1/2 (pow.f64 N 2)))
(+.f64 (/.f64 1 N) (/.f64 -1/2 (pow.f64 N 2)))
(-.f64 (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 N 3))) (/.f64 1 N)) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (-.f64 (/.f64 1 N) (/.f64 1/2 (pow.f64 N 2))))
(+.f64 (/.f64 1 N) (+.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 -1/2 (pow.f64 N 2))))
(-.f64 (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 N 3))) (/.f64 1 N)) (+.f64 (*.f64 1/4 (/.f64 1 (pow.f64 N 4))) (*.f64 1/2 (/.f64 1 (pow.f64 N 2)))))
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (-.f64 (/.f64 1 N) (+.f64 (/.f64 1/2 (pow.f64 N 2)) (/.f64 1/4 (pow.f64 N 4)))))
(+.f64 (/.f64 1 N) (+.f64 (/.f64 1/3 (pow.f64 N 3)) (-.f64 (/.f64 -1/2 (pow.f64 N 2)) (/.f64 1/4 (pow.f64 N 4)))))
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 (log.f64 N) (+.f64 (/.f64 1 N) (/.f64 -1/2 (pow.f64 N 2))))
(+.f64 (/.f64 1 N) (+.f64 (log.f64 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 -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)))
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(log.f64 (+.f64 1 (/.f64 1 N)))
(fma.f64 (sqrt.f64 (log.f64 N)) (neg.f64 (sqrt.f64 (log.f64 N))) (log1p.f64 N))
(-.f64 (log1p.f64 N) (log.f64 N))
(log.f64 (+.f64 1 (/.f64 1 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)))
(/.f64 1 (/.f64 (fma.f64 (log.f64 N) (+.f64 (log.f64 N) (log1p.f64 N)) (pow.f64 (log1p.f64 N) 2)) (-.f64 (pow.f64 (log1p.f64 N) 3) (pow.f64 (log.f64 N) 3))))
(/.f64 (-.f64 (pow.f64 (log1p.f64 N) 3) (pow.f64 (log.f64 N) 3)) (fma.f64 (log.f64 N) (+.f64 (log.f64 N) (log1p.f64 N)) (pow.f64 (log1p.f64 N) 2)))
(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)))
(/.f64 1 (/.f64 (fma.f64 (log.f64 N) (+.f64 (log.f64 N) (log1p.f64 N)) (pow.f64 (log1p.f64 N) 2)) (-.f64 (pow.f64 (log1p.f64 N) 3) (pow.f64 (log.f64 N) 3))))
(/.f64 (-.f64 (pow.f64 (log1p.f64 N) 3) (pow.f64 (log.f64 N) 3)) (fma.f64 (log.f64 N) (+.f64 (log.f64 N) (log1p.f64 N)) (pow.f64 (log1p.f64 N) 2)))
(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)))
(/.f64 1 (/.f64 (fma.f64 (log.f64 N) (+.f64 (log.f64 N) (log1p.f64 N)) (pow.f64 (log1p.f64 N) 2)) (-.f64 (pow.f64 (log1p.f64 N) 3) (pow.f64 (log.f64 N) 3))))
(/.f64 (-.f64 (pow.f64 (log1p.f64 N) 3) (pow.f64 (log.f64 N) 3)) (fma.f64 (log.f64 N) (+.f64 (log.f64 N) (log1p.f64 N)) (pow.f64 (log1p.f64 N) 2)))
(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)))
(/.f64 (*.f64 (-.f64 (pow.f64 (log1p.f64 N) 2) (pow.f64 (log.f64 N) 2)) 1) (+.f64 (log.f64 N) (log1p.f64 N)))
(/.f64 (-.f64 (pow.f64 (log1p.f64 N) 2) (pow.f64 (log.f64 N) 2)) (+.f64 (log.f64 N) (log1p.f64 N)))
(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)))
(/.f64 (*.f64 (-.f64 (pow.f64 (log1p.f64 N) 2) (pow.f64 (log.f64 N) 2)) 1) (+.f64 (log.f64 N) (log1p.f64 N)))
(/.f64 (-.f64 (pow.f64 (log1p.f64 N) 2) (pow.f64 (log.f64 N) 2)) (+.f64 (log.f64 N) (log1p.f64 N)))
(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)))
(/.f64 (*.f64 (-.f64 (pow.f64 (log1p.f64 N) 2) (pow.f64 (log.f64 N) 2)) 1) (+.f64 (log.f64 N) (log1p.f64 N)))
(/.f64 (-.f64 (pow.f64 (log1p.f64 N) 2) (pow.f64 (log.f64 N) 2)) (+.f64 (log.f64 N) (log1p.f64 N)))
(fma.f64 (neg.f64 (sqrt.f64 (log.f64 N))) (sqrt.f64 (log.f64 N)) (log1p.f64 N))
(-.f64 (log1p.f64 N) (log.f64 N))
(log.f64 (+.f64 1 (/.f64 1 N)))
(fma.f64 -1 (log.f64 N) (log1p.f64 N))
(-.f64 (log1p.f64 N) (log.f64 N))
(log.f64 (+.f64 1 (/.f64 1 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))
(-.f64 (log1p.f64 N) (log.f64 N))
(log.f64 (+.f64 1 (/.f64 1 N)))
(fma.f64 (sqrt.f64 (neg.f64 (log.f64 N))) (sqrt.f64 (neg.f64 (log.f64 N))) (log1p.f64 N))
(-.f64 (log1p.f64 N) (log.f64 N))
(log.f64 (+.f64 1 (/.f64 1 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)))
(-.f64 (log1p.f64 N) (log.f64 N))
(log.f64 (+.f64 1 (/.f64 1 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)))
(-.f64 (log1p.f64 N) (log.f64 N))
(log.f64 (+.f64 1 (/.f64 1 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)))
(-.f64 (log1p.f64 N) (log.f64 N))
(log.f64 (+.f64 1 (/.f64 1 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) (log.f64 N))
(log.f64 (+.f64 1 (/.f64 1 N)))
(+.f64 (log1p.f64 N) 0)
(log1p.f64 N)
(+.f64 0 (log1p.f64 N))
(log1p.f64 N)
(+.f64 (log1p.f64 (pow.f64 N 3)) (log.f64 (/.f64 1 (-.f64 (fma.f64 N N 1) N))))
(-.f64 (log1p.f64 (pow.f64 N 3)) (log.f64 (-.f64 (fma.f64 N N 1) N)))
(-.f64 (log1p.f64 (pow.f64 N 3)) (log1p.f64 (-.f64 (pow.f64 N 2) N)))
(-.f64 (log1p.f64 (pow.f64 N 3)) (log1p.f64 (*.f64 N (+.f64 -1 N))))
(+.f64 (*.f64 2 (*.f64 1/3 (log1p.f64 N))) (*.f64 1/3 (log1p.f64 N)))
(log1p.f64 N)
(+.f64 (*.f64 1/3 (log1p.f64 N)) (*.f64 2 (*.f64 1/3 (log1p.f64 N))))
(log1p.f64 N)
(+.f64 (*.f64 1/2 (log1p.f64 N)) (*.f64 1/2 (log1p.f64 N)))
(log1p.f64 N)
(+.f64 (log.f64 (fma.f64 N N -1)) (log.f64 (/.f64 1 (+.f64 N -1))))
(-.f64 (log.f64 (fma.f64 N N -1)) (log.f64 (+.f64 -1 N)))
(-.f64 0 (log.f64 (/.f64 (-.f64 (fma.f64 N N 1) N) (+.f64 1 (pow.f64 N 3)))))
(-.f64 (log1p.f64 (pow.f64 N 3)) (log.f64 (-.f64 (fma.f64 N N 1) N)))
(-.f64 (log1p.f64 (pow.f64 N 3)) (log1p.f64 (-.f64 (pow.f64 N 2) N)))
(-.f64 (log1p.f64 (pow.f64 N 3)) (log1p.f64 (*.f64 N (+.f64 -1 N))))
(-.f64 0 (log.f64 (/.f64 (+.f64 N -1) (fma.f64 N N -1))))
(-.f64 (log.f64 (fma.f64 N N -1)) (log.f64 (+.f64 -1 N)))
(-.f64 (exp.f64 (log1p.f64 (log1p.f64 N))) 1)
(log1p.f64 N)
(-.f64 (log1p.f64 (pow.f64 N 3)) (log.f64 (-.f64 (fma.f64 N N 1) N)))
(-.f64 (log1p.f64 (pow.f64 N 3)) (log1p.f64 (-.f64 (pow.f64 N 2) N)))
(-.f64 (log1p.f64 (pow.f64 N 3)) (log1p.f64 (*.f64 N (+.f64 -1 N))))
(-.f64 (log1p.f64 (pow.f64 N 3)) (log.f64 (+.f64 1 (-.f64 (pow.f64 N 2) N))))
(-.f64 (log1p.f64 (pow.f64 N 3)) (log.f64 (-.f64 (fma.f64 N N 1) N)))
(-.f64 (log1p.f64 (pow.f64 N 3)) (log1p.f64 (-.f64 (pow.f64 N 2) N)))
(-.f64 (log1p.f64 (pow.f64 N 3)) (log1p.f64 (*.f64 N (+.f64 -1 N))))
(-.f64 (log.f64 (fma.f64 N N -1)) (log.f64 (+.f64 N -1)))
(-.f64 (log.f64 (fma.f64 N N -1)) (log.f64 (+.f64 -1 N)))
(-.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 (+.f64 -1 (neg.f64 (pow.f64 N 3)))) (log.f64 (neg.f64 (-.f64 (fma.f64 N N 1) N))))
(-.f64 (log.f64 (-.f64 -1 (pow.f64 N 3))) (log.f64 (neg.f64 (-.f64 (fma.f64 N N 1) N))))
(-.f64 (log.f64 (-.f64 -1 (pow.f64 N 3))) (log.f64 (+.f64 (neg.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 (neg.f64 (fma.f64 N N -1))) (log.f64 (neg.f64 (+.f64 -1 N))))
(-.f64 (log1p.f64 (neg.f64 (pow.f64 N 2))) (log.f64 (-.f64 1 N)))
(-.f64 (log1p.f64 (neg.f64 (pow.f64 N 2))) (log1p.f64 (neg.f64 N)))
(-.f64 (log.f64 (-.f64 1 (pow.f64 N 2))) (log1p.f64 (neg.f64 N)))
(-.f64 (log.f64 (neg.f64 (fma.f64 N N -1))) (log.f64 (neg.f64 (+.f64 -1 N))))
(-.f64 (log1p.f64 (neg.f64 (pow.f64 N 2))) (log.f64 (-.f64 1 N)))
(-.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))
(log1p.f64 N)
(*.f64 (pow.f64 (cbrt.f64 (log1p.f64 N)) 2) (cbrt.f64 (log1p.f64 N)))
(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)))
(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 (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 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 (*.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))
(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 (pow.f64 (log1p.f64 N) 3/2) 1/3) (pow.f64 (pow.f64 (log1p.f64 N) 3/2) 1/3))
(*.f64 (cbrt.f64 (pow.f64 (log1p.f64 N) 3/2)) (cbrt.f64 (pow.f64 (log1p.f64 N) 3/2)))
(*.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 (cbrt.f64 (pow.f64 (log1p.f64 N) 3/2)) (cbrt.f64 (pow.f64 (log1p.f64 N) 3/2)))
(*.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 (cbrt.f64 (cbrt.f64 (log1p.f64 N))) (cbrt.f64 (pow.f64 (*.f64 (log1p.f64 N) (cbrt.f64 (log1p.f64 N))) 2)))
(*.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 N))) (cbrt.f64 (pow.f64 (pow.f64 (cbrt.f64 (log1p.f64 N)) 4) 2)))
(*.f64 (pow.f64 (pow.f64 (log1p.f64 N) 5/2) 1/3) (pow.f64 (sqrt.f64 (log1p.f64 N)) 1/3))
(*.f64 (cbrt.f64 (sqrt.f64 (log1p.f64 N))) (cbrt.f64 (pow.f64 (log1p.f64 N) 5/2)))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (log1p.f64 N)) 2)) 2) (pow.f64 (sqrt.f64 (cbrt.f64 (log1p.f64 N))) 2))
(log1p.f64 N)
(*.f64 (pow.f64 (sqrt.f64 (sqrt.f64 (log1p.f64 N))) 2) (pow.f64 (sqrt.f64 (sqrt.f64 (log1p.f64 N))) 2))
(log1p.f64 N)
(pow.f64 (log1p.f64 N) 1)
(log1p.f64 N)
(pow.f64 (cbrt.f64 (log1p.f64 N)) 3)
(log1p.f64 N)
(pow.f64 (pow.f64 (log1p.f64 N) 2) 1/2)
(log1p.f64 N)
(pow.f64 (pow.f64 (log1p.f64 N) 3) 1/3)
(log1p.f64 N)
(pow.f64 (sqrt.f64 (log1p.f64 N)) 2)
(log1p.f64 N)
(neg.f64 (log.f64 (/.f64 (-.f64 (fma.f64 N N 1) N) (+.f64 1 (pow.f64 N 3)))))
(-.f64 (log1p.f64 (pow.f64 N 3)) (log.f64 (-.f64 (fma.f64 N N 1) N)))
(-.f64 (log1p.f64 (pow.f64 N 3)) (log1p.f64 (-.f64 (pow.f64 N 2) N)))
(-.f64 (log1p.f64 (pow.f64 N 3)) (log1p.f64 (*.f64 N (+.f64 -1 N))))
(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))
(log1p.f64 N)
(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)

eval68.0ms (1.1%)

Compiler

Compiled 3920 to 1973 computations (49.7% saved)

prune44.0ms (0.7%)

Pruning

8 alts after pruning (8 fresh and 0 done)

PrunedKeptTotal
New2608268
Fresh000
Picked202
Done000
Total2628270
Accuracy
100.0%
Counts
270 → 8
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶54.3%
(/.f64 1 N)
▶52.4%
(-.f64 (/.f64 1 N) (/.f64 1/2 (pow.f64 N 2)))
49.3%
(-.f64 N (log.f64 N))
▶53.2%
(+.f64 (/.f64 1 N) (+.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 -1/2 (pow.f64 N 2))))
51.4%
(*.f64 2 (log.f64 (sqrt.f64 (/.f64 (+.f64 N 1) N))))
51.4%
(neg.f64 (log.f64 (/.f64 N (+.f64 N 1))))
▶48.0%
(neg.f64 (log.f64 N))
▶51.4%
(log.f64 (/.f64 (+.f64 N 1) N))
▶54.3%
(/.f64 1 N)
▶52.4%
(-.f64 (/.f64 1 N) (/.f64 1/2 (pow.f64 N 2)))
49.3%
(-.f64 N (log.f64 N))
▶53.2%
(+.f64 (/.f64 1 N) (+.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 -1/2 (pow.f64 N 2))))
51.4%
(*.f64 2 (log.f64 (sqrt.f64 (/.f64 (+.f64 N 1) N))))
51.4%
(neg.f64 (log.f64 (/.f64 N (+.f64 N 1))))
▶48.0%
(neg.f64 (log.f64 N))
▶51.4%
(log.f64 (/.f64 (+.f64 N 1) N))
Compiler

Compiled 256 to 196 computations (23.4% saved)

localize274.0ms (4.3%)

Localize:

Found 8 expressions with local error:

NewAccuracyProgram
✓100.0%
(+.f64 (/.f64 1 N) (+.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 -1/2 (pow.f64 N 2))))
✓99.8%
(/.f64 -1/2 (pow.f64 N 2))
✓99.6%
(/.f64 1/3 (pow.f64 N 3))
✓81.6%
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 -1/2 (pow.f64 N 2)))
✓100.0%
(-.f64 (/.f64 1 N) (/.f64 1/2 (pow.f64 N 2)))
✓99.8%
(/.f64 1/2 (pow.f64 N 2))
✓100.0%
(/.f64 (+.f64 N 1) N)
✓51.4%
(log.f64 (/.f64 (+.f64 N 1) N))
Compiler

Compiled 104 to 75 computations (27.9% saved)

series6.0ms (0.1%)

Counts
8 → 60
Calls

24 calls:

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

rewrite141.0ms (2.2%)

Algorithm
1×batch-egg-rewrite
Rules
835×log1p-expm1-u
524×log1p-udef
520×expm1-udef
212×associate-*r*
200×frac-times
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
024210
1355200
25991200
Stop Event
1×node limit
Counts
8 → 329
Calls
Call 1
Inputs
(log.f64 (/.f64 (+.f64 N 1) N))
(/.f64 (+.f64 N 1) N)
(/.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 -1/2 (pow.f64 N 2)))
(/.f64 1/3 (pow.f64 N 3))
(/.f64 -1/2 (pow.f64 N 2))
(+.f64 (/.f64 1 N) (+.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 -1/2 (pow.f64 N 2))))
Outputs
(+.f64 (log1p.f64 N) (neg.f64 (log.f64 N)))
(+.f64 0 (-.f64 (log1p.f64 N) (log.f64 N)))
(+.f64 (log.f64 (cbrt.f64 (pow.f64 (/.f64 (+.f64 N 1) N) 2))) (log.f64 (cbrt.f64 (/.f64 (+.f64 N 1) N))))
(+.f64 (log.f64 (sqrt.f64 (/.f64 (+.f64 N 1) N))) (log.f64 (sqrt.f64 (/.f64 (+.f64 N 1) N))))
(-.f64 (log1p.f64 N) (log.f64 N))
(-.f64 0 (log.f64 (/.f64 N (+.f64 N 1))))
(-.f64 (exp.f64 (log1p.f64 (-.f64 (log1p.f64 N) (log.f64 N)))) 1)
(-.f64 (log.f64 (+.f64 -1 (neg.f64 N))) (log.f64 (neg.f64 N)))
(*.f64 1 (-.f64 (log1p.f64 N) (log.f64 N)))
(*.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 1)
(*.f64 (cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))) (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))) 2))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))) 2) (cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))))
(*.f64 (sqrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))) (sqrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))))
(/.f64 (-.f64 (pow.f64 (log1p.f64 N) 3) (pow.f64 (log.f64 N) 3)) (+.f64 (*.f64 (log1p.f64 N) (log1p.f64 N)) (+.f64 (*.f64 (log.f64 N) (log.f64 N)) (*.f64 (log1p.f64 N) (log.f64 N)))))
(/.f64 (-.f64 (*.f64 (log1p.f64 N) (log1p.f64 N)) (*.f64 (log.f64 N) (log.f64 N))) (+.f64 (log1p.f64 N) (log.f64 N)))
(pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 1)
(pow.f64 (cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))) 3)
(pow.f64 (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 3) 1/3)
(pow.f64 (sqrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))) 2)
(neg.f64 (log.f64 (/.f64 N (+.f64 N 1))))
(sqrt.f64 (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 2))
(cbrt.f64 (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 3))
(expm1.f64 (log1p.f64 (-.f64 (log1p.f64 N) (log.f64 N))))
(exp.f64 (log.f64 (-.f64 (log1p.f64 N) (log.f64 N))))
(exp.f64 (*.f64 (log.f64 (-.f64 (log1p.f64 N) (log.f64 N))) 1))
(log1p.f64 (-.f64 (/.f64 (+.f64 N 1) N) 1))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (+.f64 N 1) N))) 1)
(*.f64 1 (/.f64 (+.f64 N 1) N))
(*.f64 (+.f64 N 1) (/.f64 1 N))
(*.f64 (/.f64 (+.f64 N 1) N) 1)
(*.f64 (/.f64 1 N) (+.f64 N 1))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 N 1) 2)) (*.f64 (cbrt.f64 (+.f64 N 1)) (/.f64 1 N)))
(*.f64 (cbrt.f64 (/.f64 (+.f64 N 1) N)) (cbrt.f64 (pow.f64 (/.f64 (+.f64 N 1) N) 2)))
(*.f64 (cbrt.f64 (pow.f64 (/.f64 (+.f64 N 1) N) 2)) (cbrt.f64 (/.f64 (+.f64 N 1) N)))
(*.f64 (sqrt.f64 (+.f64 N 1)) (*.f64 (sqrt.f64 (+.f64 N 1)) (/.f64 1 N)))
(*.f64 (sqrt.f64 (/.f64 (+.f64 N 1) N)) (sqrt.f64 (/.f64 (+.f64 N 1) N)))
(*.f64 (pow.f64 N -1/2) (/.f64 (+.f64 N 1) (sqrt.f64 N)))
(*.f64 (+.f64 -1 (neg.f64 N)) (/.f64 1 (neg.f64 N)))
(*.f64 (/.f64 1 (cbrt.f64 (pow.f64 N 2))) (/.f64 (+.f64 N 1) (cbrt.f64 N)))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (+.f64 N 1) 2)) 1) (/.f64 (cbrt.f64 (+.f64 N 1)) N))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (+.f64 N 1) 2)) (cbrt.f64 (pow.f64 N 2))) (cbrt.f64 (/.f64 (+.f64 N 1) N)))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (+.f64 N 1) 2)) (sqrt.f64 N)) (/.f64 (cbrt.f64 (+.f64 N 1)) (sqrt.f64 N)))
(*.f64 (/.f64 (sqrt.f64 (+.f64 N 1)) 1) (/.f64 (sqrt.f64 (+.f64 N 1)) N))
(*.f64 (/.f64 (sqrt.f64 (+.f64 N 1)) (cbrt.f64 (pow.f64 N 2))) (/.f64 (sqrt.f64 (+.f64 N 1)) (cbrt.f64 N)))
(*.f64 (*.f64 (+.f64 N 1) (cbrt.f64 (pow.f64 N -2))) (/.f64 1 (cbrt.f64 N)))
(*.f64 (*.f64 (+.f64 N 1) (pow.f64 N -1/2)) (pow.f64 N -1/2))
(pow.f64 (/.f64 (+.f64 N 1) N) 1)
(pow.f64 (cbrt.f64 (/.f64 (+.f64 N 1) N)) 3)
(pow.f64 (pow.f64 (/.f64 (+.f64 N 1) N) 3) 1/3)
(pow.f64 (sqrt.f64 (/.f64 (+.f64 N 1) N)) 2)
(pow.f64 (/.f64 N (+.f64 N 1)) -1)
(pow.f64 (exp.f64 1) (-.f64 (log1p.f64 N) (log.f64 N)))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))) 2)) (cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))))
(pow.f64 (exp.f64 (sqrt.f64 (-.f64 (log1p.f64 N) (log.f64 N)))) (sqrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))))
(neg.f64 (/.f64 (+.f64 N 1) (neg.f64 N)))
(sqrt.f64 (pow.f64 (/.f64 (+.f64 N 1) N) 2))
(log.f64 (exp.f64 (/.f64 (+.f64 N 1) N)))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (+.f64 N 1) N))))
(cbrt.f64 (pow.f64 (/.f64 (+.f64 N 1) N) 3))
(cbrt.f64 (*.f64 (pow.f64 (+.f64 N 1) 3) (pow.f64 N -3)))
(cbrt.f64 (/.f64 (pow.f64 (+.f64 N 1) 3) (pow.f64 N 3)))
(expm1.f64 (log1p.f64 (/.f64 (+.f64 N 1) N)))
(exp.f64 (-.f64 (log1p.f64 N) (log.f64 N)))
(log1p.f64 (expm1.f64 (/.f64 (+.f64 N 1) N)))
(-.f64 0 (*.f64 1/2 (pow.f64 N -2)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 1/2 (pow.f64 N -2)))) 1)
(*.f64 1 (*.f64 1/2 (pow.f64 N -2)))
(*.f64 1/2 (pow.f64 N -2))
(*.f64 1/2 (neg.f64 (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 (/.f64 1 (neg.f64 (pow.f64 N 2))))
(*.f64 (*.f64 1/2 (pow.f64 N -2)) 1)
(*.f64 -1 (*.f64 1/2 (pow.f64 N -2)))
(*.f64 (cbrt.f64 (*.f64 1/2 (pow.f64 N -2))) (cbrt.f64 (/.f64 1/4 (pow.f64 N 4))))
(*.f64 (cbrt.f64 (/.f64 1/4 (pow.f64 N 4))) (cbrt.f64 (*.f64 1/2 (pow.f64 N -2))))
(*.f64 (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 (pow.f64 N -2) 1/2)
(*.f64 (pow.f64 N -2) -1/2)
(*.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))))
(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)))
(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 N) (*.f64 1/2 (pow.f64 N -2)))
(+.f64 (+.f64 (/.f64 1 N) (*.f64 1/2 (pow.f64 N -2))) (fma.f64 (*.f64 1/2 (pow.f64 N -2)) 1 (*.f64 1/2 (pow.f64 N -2))))
(+.f64 (+.f64 (/.f64 1 N) (*.f64 1/2 (pow.f64 N -2))) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 1/2 (pow.f64 N -2)))) (cbrt.f64 (/.f64 1/4 (pow.f64 N 4))) (*.f64 1/2 (pow.f64 N -2))))
(+.f64 (+.f64 (/.f64 1 N) (*.f64 1/2 (pow.f64 N -2))) (fma.f64 (neg.f64 (/.f64 (sqrt.f64 -1/2) N)) (/.f64 (sqrt.f64 -1/2) N) (*.f64 1/2 (pow.f64 N -2))))
(+.f64 (+.f64 (/.f64 1 N) (*.f64 1/2 (pow.f64 N -2))) (fma.f64 (neg.f64 (pow.f64 N -2)) 1/2 (*.f64 1/2 (pow.f64 N -2))))
(+.f64 (*.f64 1/2 (pow.f64 N -2)) (/.f64 1 N))
(*.f64 1 (+.f64 (/.f64 1 N) (*.f64 1/2 (pow.f64 N -2))))
(*.f64 (+.f64 (/.f64 1 N) (*.f64 1/2 (pow.f64 N -2))) 1)
(*.f64 (/.f64 (cbrt.f64 (*.f64 N (-.f64 N 1/2))) N) (cbrt.f64 (+.f64 (pow.f64 N -2) (/.f64 1/4 (pow.f64 N 4)))))
(*.f64 (cbrt.f64 (+.f64 (pow.f64 N -2) (/.f64 1/4 (pow.f64 N 4)))) (/.f64 (cbrt.f64 (*.f64 N (-.f64 N 1/2))) N))
(*.f64 (+.f64 (pow.f64 N -2) (/.f64 1/4 (pow.f64 N 4))) (/.f64 1 (+.f64 (/.f64 1 N) (*.f64 1/2 (pow.f64 N -2)))))
(*.f64 (sqrt.f64 (+.f64 (/.f64 1 N) (*.f64 1/2 (pow.f64 N -2)))) (sqrt.f64 (+.f64 (/.f64 1 N) (*.f64 1/2 (pow.f64 N -2)))))
(*.f64 (*.f64 N (-.f64 N 1/2)) (pow.f64 N -3))
(*.f64 (-.f64 (pow.f64 N -3) (/.f64 -1/8 (pow.f64 N 6))) (/.f64 1 (+.f64 (+.f64 (pow.f64 N -2) (/.f64 1/4 (pow.f64 N 4))) (/.f64 1/2 (pow.f64 N 3)))))
(*.f64 (+.f64 (pow.f64 N -1/2) (/.f64 (sqrt.f64 -1/2) N)) (-.f64 (pow.f64 N -1/2) (/.f64 (sqrt.f64 -1/2) N)))
(/.f64 1 (/.f64 (pow.f64 N 3) (*.f64 N (-.f64 N 1/2))))
(/.f64 1 (/.f64 (+.f64 (+.f64 (pow.f64 N -2) (/.f64 1/4 (pow.f64 N 4))) (/.f64 1/2 (pow.f64 N 3))) (-.f64 (pow.f64 N -3) (/.f64 -1/8 (pow.f64 N 6)))))
(/.f64 1 (/.f64 (+.f64 (/.f64 1 N) (*.f64 1/2 (pow.f64 N -2))) (+.f64 (pow.f64 N -2) (/.f64 1/4 (pow.f64 N 4)))))
(/.f64 (+.f64 (pow.f64 N -2) (/.f64 1/4 (pow.f64 N 4))) (+.f64 (/.f64 1 N) (*.f64 1/2 (pow.f64 N -2))))
(/.f64 (*.f64 N (-.f64 N 1/2)) (pow.f64 N 3))
(/.f64 (-.f64 (pow.f64 N -3) (/.f64 -1/8 (pow.f64 N 6))) (+.f64 (+.f64 (pow.f64 N -2) (/.f64 1/4 (pow.f64 N 4))) (/.f64 1/2 (pow.f64 N 3))))
(/.f64 (+.f64 (*.f64 (pow.f64 N 2) 2) N) (*.f64 N (*.f64 (pow.f64 N 2) 2)))
(/.f64 (+.f64 (pow.f64 N 2) (*.f64 N 1/2)) (pow.f64 N 3))
(/.f64 (+.f64 (neg.f64 (pow.f64 N 2)) (*.f64 N -1/2)) (neg.f64 (pow.f64 N 3)))
(/.f64 (+.f64 (*.f64 -1 (*.f64 (pow.f64 N 2) 2)) (*.f64 (neg.f64 N) 1)) (*.f64 (neg.f64 N) (*.f64 (pow.f64 N 2) 2)))
(/.f64 (+.f64 (neg.f64 (pow.f64 N 2)) (*.f64 (neg.f64 N) 1/2)) (neg.f64 (pow.f64 N 3)))
(/.f64 (+.f64 (*.f64 -1 (neg.f64 (pow.f64 N 2))) (*.f64 (neg.f64 N) -1/2)) (*.f64 (neg.f64 N) (neg.f64 (pow.f64 N 2))))
(/.f64 (-.f64 (*.f64 (pow.f64 N 2) 2) N) (*.f64 N (*.f64 (pow.f64 N 2) 2)))
(/.f64 (-.f64 (neg.f64 (pow.f64 N 2)) (*.f64 N -1/2)) (neg.f64 (pow.f64 N 3)))
(/.f64 (-.f64 (*.f64 -1 (*.f64 (pow.f64 N 2) 2)) (*.f64 (neg.f64 N) 1)) (*.f64 (neg.f64 N) (*.f64 (pow.f64 N 2) 2)))
(/.f64 (-.f64 (neg.f64 (pow.f64 N 2)) (*.f64 (neg.f64 N) 1/2)) (neg.f64 (pow.f64 N 3)))
(/.f64 (-.f64 (*.f64 -1 (neg.f64 (pow.f64 N 2))) (*.f64 (neg.f64 N) -1/2)) (*.f64 (neg.f64 N) (neg.f64 (pow.f64 N 2))))
(/.f64 (neg.f64 (*.f64 N (-.f64 N 1/2))) (neg.f64 (pow.f64 N 3)))
(/.f64 (neg.f64 (-.f64 (pow.f64 N -3) (/.f64 -1/8 (pow.f64 N 6)))) (neg.f64 (+.f64 (+.f64 (pow.f64 N -2) (/.f64 1/4 (pow.f64 N 4))) (/.f64 1/2 (pow.f64 N 3)))))
(/.f64 (neg.f64 (+.f64 (pow.f64 N -2) (/.f64 1/4 (pow.f64 N 4)))) (neg.f64 (+.f64 (/.f64 1 N) (*.f64 1/2 (pow.f64 N -2)))))
(/.f64 (+.f64 (pow.f64 N -3) (/.f64 -1/8 (pow.f64 N 6))) (+.f64 (pow.f64 N -2) (-.f64 (/.f64 1/4 (pow.f64 N 4)) (/.f64 1/2 (pow.f64 N 3)))))
(/.f64 (/.f64 (*.f64 N (-.f64 N 1/2)) N) (pow.f64 N 2))
(/.f64 (/.f64 (*.f64 N (-.f64 N 1/2)) 1) (pow.f64 N 3))
(/.f64 (/.f64 (*.f64 N (-.f64 N 1/2)) (pow.f64 N 2)) N)
(/.f64 (/.f64 (*.f64 N (-.f64 N 1/2)) (pow.f64 N 3/2)) (pow.f64 N 3/2))
(pow.f64 (+.f64 (/.f64 1 N) (*.f64 1/2 (pow.f64 N -2))) 1)
(pow.f64 (/.f64 (cbrt.f64 (*.f64 N (-.f64 N 1/2))) N) 3)
(pow.f64 (pow.f64 (+.f64 (/.f64 1 N) (*.f64 1/2 (pow.f64 N -2))) 3) 1/3)
(pow.f64 (sqrt.f64 (+.f64 (/.f64 1 N) (*.f64 1/2 (pow.f64 N -2)))) 2)
(sqrt.f64 (+.f64 (pow.f64 N -2) (/.f64 1/4 (pow.f64 N 4))))
(log.f64 (exp.f64 (+.f64 (/.f64 1 N) (*.f64 1/2 (pow.f64 N -2)))))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 (/.f64 1 N) (*.f64 1/2 (pow.f64 N -2))))))
(cbrt.f64 (pow.f64 (+.f64 (/.f64 1 N) (*.f64 1/2 (pow.f64 N -2))) 3))
(expm1.f64 (log1p.f64 (+.f64 (/.f64 1 N) (*.f64 1/2 (pow.f64 N -2)))))
(exp.f64 (log.f64 (+.f64 (/.f64 1 N) (*.f64 1/2 (pow.f64 N -2)))))
(exp.f64 (*.f64 (log.f64 (+.f64 (/.f64 1 N) (*.f64 1/2 (pow.f64 N -2)))) 1))
(log1p.f64 (expm1.f64 (+.f64 (/.f64 1 N) (*.f64 1/2 (pow.f64 N -2)))))
(fma.f64 1 (/.f64 1 N) (*.f64 1/2 (pow.f64 N -2)))
(fma.f64 (cbrt.f64 (pow.f64 N -2)) (/.f64 1 (cbrt.f64 N)) (*.f64 1/2 (pow.f64 N -2)))
(fma.f64 (pow.f64 N -1/2) (pow.f64 N -1/2) (*.f64 1/2 (pow.f64 N -2)))
(-.f64 (*.f64 1/3 (pow.f64 N -3)) (*.f64 1/2 (pow.f64 N -2)))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 1/3 (pow.f64 N -3) (*.f64 1/2 (pow.f64 N -2))))) 1)
(-.f64 (/.f64 (/.f64 1/9 (pow.f64 N 6)) (fma.f64 1/3 (pow.f64 N -3) (*.f64 1/2 (pow.f64 N -2)))) (/.f64 (/.f64 1/4 (pow.f64 N 4)) (fma.f64 1/3 (pow.f64 N -3) (*.f64 1/2 (pow.f64 N -2)))))
(*.f64 1 (fma.f64 1/3 (pow.f64 N -3) (*.f64 1/2 (pow.f64 N -2))))
(*.f64 (fma.f64 1/3 (pow.f64 N -3) (*.f64 1/2 (pow.f64 N -2))) 1)
(*.f64 (cbrt.f64 (fma.f64 1/3 (pow.f64 N -3) (*.f64 1/2 (pow.f64 N -2)))) (cbrt.f64 (+.f64 (/.f64 1/9 (pow.f64 N 6)) (/.f64 1/4 (pow.f64 N 4)))))
(*.f64 (cbrt.f64 (+.f64 (/.f64 1/9 (pow.f64 N 6)) (/.f64 1/4 (pow.f64 N 4)))) (cbrt.f64 (fma.f64 1/3 (pow.f64 N -3) (*.f64 1/2 (pow.f64 N -2)))))
(*.f64 (+.f64 (/.f64 1/9 (pow.f64 N 6)) (/.f64 1/4 (pow.f64 N 4))) (/.f64 1 (fma.f64 1/3 (pow.f64 N -3) (*.f64 1/2 (pow.f64 N -2)))))
(*.f64 (sqrt.f64 (fma.f64 1/3 (pow.f64 N -3) (*.f64 1/2 (pow.f64 N -2)))) (sqrt.f64 (fma.f64 1/3 (pow.f64 N -3) (*.f64 1/2 (pow.f64 N -2)))))
(*.f64 (fma.f64 1/3 (pow.f64 N 2) (*.f64 (pow.f64 N 3) -1/2)) (/.f64 1 (pow.f64 N 5)))
(*.f64 (+.f64 (/.f64 -1/8 (pow.f64 N 6)) (*.f64 1/27 (pow.f64 (pow.f64 N -3) 3))) (/.f64 1 (+.f64 (/.f64 1/9 (pow.f64 N 6)) (-.f64 (/.f64 1/4 (pow.f64 N 4)) (/.f64 -1/6 (pow.f64 N 5))))))
(*.f64 (+.f64 (/.f64 (sqrt.f64 1/3) (pow.f64 N 3/2)) (/.f64 (sqrt.f64 -1/2) N)) (-.f64 (/.f64 (sqrt.f64 1/3) (pow.f64 N 3/2)) (/.f64 (sqrt.f64 -1/2) N)))
(/.f64 1 (/.f64 (pow.f64 N 5) (fma.f64 1/3 (pow.f64 N 2) (*.f64 (pow.f64 N 3) -1/2))))
(/.f64 1 (/.f64 (+.f64 (/.f64 1/9 (pow.f64 N 6)) (-.f64 (/.f64 1/4 (pow.f64 N 4)) (/.f64 -1/6 (pow.f64 N 5)))) (+.f64 (/.f64 -1/8 (pow.f64 N 6)) (*.f64 1/27 (pow.f64 (pow.f64 N -3) 3)))))
(/.f64 1 (/.f64 (fma.f64 1/3 (pow.f64 N -3) (*.f64 1/2 (pow.f64 N -2))) (+.f64 (/.f64 1/9 (pow.f64 N 6)) (/.f64 1/4 (pow.f64 N 4)))))
(/.f64 (+.f64 (/.f64 1/9 (pow.f64 N 6)) (/.f64 1/4 (pow.f64 N 4))) (fma.f64 1/3 (pow.f64 N -3) (*.f64 1/2 (pow.f64 N -2))))
(/.f64 (fma.f64 1/3 (pow.f64 N 2) (*.f64 (pow.f64 N 3) -1/2)) (pow.f64 N 5))
(/.f64 (+.f64 (/.f64 -1/8 (pow.f64 N 6)) (*.f64 1/27 (pow.f64 (pow.f64 N -3) 3))) (+.f64 (/.f64 1/9 (pow.f64 N 6)) (-.f64 (/.f64 1/4 (pow.f64 N 4)) (/.f64 -1/6 (pow.f64 N 5)))))
(/.f64 (+.f64 (/.f64 -1/8 (pow.f64 N 6)) (*.f64 1/27 (pow.f64 (pow.f64 N -3) 3))) (+.f64 (/.f64 1/4 (pow.f64 N 4)) (-.f64 (/.f64 1/9 (pow.f64 N 6)) (/.f64 -1/6 (pow.f64 N 5)))))
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(/.f64 (+.f64 (*.f64 (+.f64 (/.f64 1/9 (pow.f64 N 6)) (/.f64 1/4 (pow.f64 N 4))) (neg.f64 N)) (*.f64 (fma.f64 1/3 (pow.f64 N -3) (*.f64 1/2 (pow.f64 N -2))) -1)) (*.f64 (fma.f64 1/3 (pow.f64 N -3) (*.f64 1/2 (pow.f64 N -2))) (neg.f64 N)))
(/.f64 (neg.f64 (+.f64 (pow.f64 (fma.f64 1/3 (pow.f64 N -3) (*.f64 1/2 (pow.f64 N -2))) 3) (pow.f64 N -3))) (neg.f64 (-.f64 (+.f64 (pow.f64 N -2) (+.f64 (/.f64 1/9 (pow.f64 N 6)) (/.f64 1/4 (pow.f64 N 4)))) (/.f64 (fma.f64 1/3 (pow.f64 N -3) (*.f64 1/2 (pow.f64 N -2))) N))))
(/.f64 (neg.f64 (-.f64 (pow.f64 N -2) (+.f64 (/.f64 1/9 (pow.f64 N 6)) (/.f64 1/4 (pow.f64 N 4))))) (neg.f64 (-.f64 (/.f64 1 N) (fma.f64 1/3 (pow.f64 N -3) (*.f64 1/2 (pow.f64 N -2))))))
(/.f64 (+.f64 (pow.f64 (+.f64 (/.f64 1 N) (*.f64 1/3 (pow.f64 N -3))) 3) (/.f64 -1/8 (pow.f64 N 6))) (+.f64 (*.f64 (+.f64 (/.f64 1 N) (*.f64 1/3 (pow.f64 N -3))) (+.f64 (/.f64 1 N) (*.f64 1/3 (pow.f64 N -3)))) (-.f64 (/.f64 1/4 (pow.f64 N 4)) (*.f64 (+.f64 (/.f64 1 N) (*.f64 1/3 (pow.f64 N -3))) (*.f64 1/2 (pow.f64 N -2))))))
(/.f64 (-.f64 (+.f64 (/.f64 1/9 (pow.f64 N 6)) (/.f64 1/4 (pow.f64 N 4))) (pow.f64 N -2)) (-.f64 (fma.f64 1/3 (pow.f64 N -3) (*.f64 1/2 (pow.f64 N -2))) (/.f64 1 N)))
(/.f64 (-.f64 (*.f64 (+.f64 (/.f64 1 N) (*.f64 1/3 (pow.f64 N -3))) (+.f64 (/.f64 1 N) (*.f64 1/3 (pow.f64 N -3)))) (/.f64 1/4 (pow.f64 N 4))) (-.f64 (+.f64 (/.f64 1 N) (*.f64 1/3 (pow.f64 N -3))) (*.f64 1/2 (pow.f64 N -2))))
(pow.f64 (+.f64 (/.f64 1 N) (fma.f64 1/3 (pow.f64 N -3) (*.f64 1/2 (pow.f64 N -2)))) 1)
(pow.f64 (cbrt.f64 (+.f64 (/.f64 1 N) (fma.f64 1/3 (pow.f64 N -3) (*.f64 1/2 (pow.f64 N -2))))) 3)
(pow.f64 (pow.f64 (+.f64 (/.f64 1 N) (fma.f64 1/3 (pow.f64 N -3) (*.f64 1/2 (pow.f64 N -2)))) 3) 1/3)
(pow.f64 (hypot.f64 (sqrt.f64 (fma.f64 1/3 (pow.f64 N -3) (*.f64 1/2 (pow.f64 N -2)))) (pow.f64 N -1/2)) 2)
(sqrt.f64 (pow.f64 (+.f64 (/.f64 1 N) (fma.f64 1/3 (pow.f64 N -3) (*.f64 1/2 (pow.f64 N -2)))) 2))
(log.f64 (exp.f64 (+.f64 (/.f64 1 N) (fma.f64 1/3 (pow.f64 N -3) (*.f64 1/2 (pow.f64 N -2))))))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 (/.f64 1 N) (fma.f64 1/3 (pow.f64 N -3) (*.f64 1/2 (pow.f64 N -2)))))))
(cbrt.f64 (pow.f64 (+.f64 (/.f64 1 N) (fma.f64 1/3 (pow.f64 N -3) (*.f64 1/2 (pow.f64 N -2)))) 3))
(expm1.f64 (log1p.f64 (+.f64 (/.f64 1 N) (fma.f64 1/3 (pow.f64 N -3) (*.f64 1/2 (pow.f64 N -2))))))
(exp.f64 (log.f64 (+.f64 (/.f64 1 N) (fma.f64 1/3 (pow.f64 N -3) (*.f64 1/2 (pow.f64 N -2))))))
(exp.f64 (*.f64 (log.f64 (+.f64 (/.f64 1 N) (fma.f64 1/3 (pow.f64 N -3) (*.f64 1/2 (pow.f64 N -2))))) 1))
(log1p.f64 (expm1.f64 (+.f64 (/.f64 1 N) (fma.f64 1/3 (pow.f64 N -3) (*.f64 1/2 (pow.f64 N -2))))))
(fma.f64 1 (/.f64 1 N) (fma.f64 1/3 (pow.f64 N -3) (*.f64 1/2 (pow.f64 N -2))))
(fma.f64 1 (fma.f64 1/3 (pow.f64 N -3) (*.f64 1/2 (pow.f64 N -2))) (/.f64 1 N))
(fma.f64 (cbrt.f64 (+.f64 (/.f64 1/9 (pow.f64 N 6)) (/.f64 1/4 (pow.f64 N 4)))) (cbrt.f64 (fma.f64 1/3 (pow.f64 N -3) (*.f64 1/2 (pow.f64 N -2)))) (/.f64 1 N))
(fma.f64 (cbrt.f64 (pow.f64 N -2)) (/.f64 1 (cbrt.f64 N)) (fma.f64 1/3 (pow.f64 N -3) (*.f64 1/2 (pow.f64 N -2))))
(fma.f64 (sqrt.f64 (fma.f64 1/3 (pow.f64 N -3) (*.f64 1/2 (pow.f64 N -2)))) (sqrt.f64 (fma.f64 1/3 (pow.f64 N -3) (*.f64 1/2 (pow.f64 N -2)))) (/.f64 1 N))
(fma.f64 (pow.f64 N -1/2) (pow.f64 N -1/2) (fma.f64 1/3 (pow.f64 N -3) (*.f64 1/2 (pow.f64 N -2))))

simplify154.0ms (2.4%)

Algorithm
1×egg-herbie
Rules
1082×associate-/r*
920×fma-def
702×times-frac
590×associate-*l*
574×associate-*r*
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
073017315
1190216380
Stop Event
1×node limit
Counts
389 → 467
Calls
Call 1
Inputs
(*.f64 -1 (log.f64 N))
(+.f64 N (*.f64 -1 (log.f64 N)))
(+.f64 N (+.f64 (*.f64 -1 (log.f64 N)) (*.f64 -1/2 (pow.f64 N 2))))
(+.f64 N (+.f64 (*.f64 -1 (log.f64 N)) (+.f64 (*.f64 -1/2 (pow.f64 N 2)) (*.f64 1/3 (pow.f64 N 3)))))
(/.f64 1 N)
(-.f64 (/.f64 1 N) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 N 3))) (/.f64 1 N)) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 N 3))) (/.f64 1 N)) (+.f64 (*.f64 1/4 (/.f64 1 (pow.f64 N 4))) (*.f64 1/2 (/.f64 1 (pow.f64 N 2)))))
(/.f64 1 N)
(-.f64 (/.f64 1 N) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 N 3))) (/.f64 1 N)) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 N 3))) (/.f64 1 N)) (+.f64 (*.f64 1/4 (/.f64 1 (pow.f64 N 4))) (*.f64 1/2 (/.f64 1 (pow.f64 N 2)))))
(/.f64 1 N)
(+.f64 1 (/.f64 1 N))
(+.f64 1 (/.f64 1 N))
(+.f64 1 (/.f64 1 N))
1
(+.f64 1 (/.f64 1 N))
(+.f64 1 (/.f64 1 N))
(+.f64 1 (/.f64 1 N))
1
(+.f64 1 (/.f64 1 N))
(+.f64 1 (/.f64 1 N))
(+.f64 1 (/.f64 1 N))
(/.f64 -1/2 (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 1/3 (/.f64 1 (pow.f64 N 3))) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (*.f64 1/3 (/.f64 1 (pow.f64 N 3))) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(/.f64 -1/2 (pow.f64 N 2))
(-.f64 (*.f64 1/3 (/.f64 1 (pow.f64 N 3))) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (*.f64 1/3 (/.f64 1 (pow.f64 N 3))) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (*.f64 1/3 (/.f64 1 (pow.f64 N 3))) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(/.f64 -1/2 (pow.f64 N 2))
(-.f64 (*.f64 1/3 (/.f64 1 (pow.f64 N 3))) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (*.f64 1/3 (/.f64 1 (pow.f64 N 3))) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (*.f64 1/3 (/.f64 1 (pow.f64 N 3))) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(/.f64 1/3 (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 (log1p.f64 N) (neg.f64 (log.f64 N)))
(+.f64 0 (-.f64 (log1p.f64 N) (log.f64 N)))
(+.f64 (log.f64 (cbrt.f64 (pow.f64 (/.f64 (+.f64 N 1) N) 2))) (log.f64 (cbrt.f64 (/.f64 (+.f64 N 1) N))))
(+.f64 (log.f64 (sqrt.f64 (/.f64 (+.f64 N 1) N))) (log.f64 (sqrt.f64 (/.f64 (+.f64 N 1) N))))
(-.f64 (log1p.f64 N) (log.f64 N))
(-.f64 0 (log.f64 (/.f64 N (+.f64 N 1))))
(-.f64 (exp.f64 (log1p.f64 (-.f64 (log1p.f64 N) (log.f64 N)))) 1)
(-.f64 (log.f64 (+.f64 -1 (neg.f64 N))) (log.f64 (neg.f64 N)))
(*.f64 1 (-.f64 (log1p.f64 N) (log.f64 N)))
(*.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 1)
(*.f64 (cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))) (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))) 2))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))) 2) (cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))))
(*.f64 (sqrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))) (sqrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))))
(/.f64 (-.f64 (pow.f64 (log1p.f64 N) 3) (pow.f64 (log.f64 N) 3)) (+.f64 (*.f64 (log1p.f64 N) (log1p.f64 N)) (+.f64 (*.f64 (log.f64 N) (log.f64 N)) (*.f64 (log1p.f64 N) (log.f64 N)))))
(/.f64 (-.f64 (*.f64 (log1p.f64 N) (log1p.f64 N)) (*.f64 (log.f64 N) (log.f64 N))) (+.f64 (log1p.f64 N) (log.f64 N)))
(pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 1)
(pow.f64 (cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))) 3)
(pow.f64 (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 3) 1/3)
(pow.f64 (sqrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))) 2)
(neg.f64 (log.f64 (/.f64 N (+.f64 N 1))))
(sqrt.f64 (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 2))
(cbrt.f64 (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 3))
(expm1.f64 (log1p.f64 (-.f64 (log1p.f64 N) (log.f64 N))))
(exp.f64 (log.f64 (-.f64 (log1p.f64 N) (log.f64 N))))
(exp.f64 (*.f64 (log.f64 (-.f64 (log1p.f64 N) (log.f64 N))) 1))
(log1p.f64 (-.f64 (/.f64 (+.f64 N 1) N) 1))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (+.f64 N 1) N))) 1)
(*.f64 1 (/.f64 (+.f64 N 1) N))
(*.f64 (+.f64 N 1) (/.f64 1 N))
(*.f64 (/.f64 (+.f64 N 1) N) 1)
(*.f64 (/.f64 1 N) (+.f64 N 1))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 N 1) 2)) (*.f64 (cbrt.f64 (+.f64 N 1)) (/.f64 1 N)))
(*.f64 (cbrt.f64 (/.f64 (+.f64 N 1) N)) (cbrt.f64 (pow.f64 (/.f64 (+.f64 N 1) N) 2)))
(*.f64 (cbrt.f64 (pow.f64 (/.f64 (+.f64 N 1) N) 2)) (cbrt.f64 (/.f64 (+.f64 N 1) N)))
(*.f64 (sqrt.f64 (+.f64 N 1)) (*.f64 (sqrt.f64 (+.f64 N 1)) (/.f64 1 N)))
(*.f64 (sqrt.f64 (/.f64 (+.f64 N 1) N)) (sqrt.f64 (/.f64 (+.f64 N 1) N)))
(*.f64 (pow.f64 N -1/2) (/.f64 (+.f64 N 1) (sqrt.f64 N)))
(*.f64 (+.f64 -1 (neg.f64 N)) (/.f64 1 (neg.f64 N)))
(*.f64 (/.f64 1 (cbrt.f64 (pow.f64 N 2))) (/.f64 (+.f64 N 1) (cbrt.f64 N)))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (+.f64 N 1) 2)) 1) (/.f64 (cbrt.f64 (+.f64 N 1)) N))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (+.f64 N 1) 2)) (cbrt.f64 (pow.f64 N 2))) (cbrt.f64 (/.f64 (+.f64 N 1) N)))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (+.f64 N 1) 2)) (sqrt.f64 N)) (/.f64 (cbrt.f64 (+.f64 N 1)) (sqrt.f64 N)))
(*.f64 (/.f64 (sqrt.f64 (+.f64 N 1)) 1) (/.f64 (sqrt.f64 (+.f64 N 1)) N))
(*.f64 (/.f64 (sqrt.f64 (+.f64 N 1)) (cbrt.f64 (pow.f64 N 2))) (/.f64 (sqrt.f64 (+.f64 N 1)) (cbrt.f64 N)))
(*.f64 (*.f64 (+.f64 N 1) (cbrt.f64 (pow.f64 N -2))) (/.f64 1 (cbrt.f64 N)))
(*.f64 (*.f64 (+.f64 N 1) (pow.f64 N -1/2)) (pow.f64 N -1/2))
(pow.f64 (/.f64 (+.f64 N 1) N) 1)
(pow.f64 (cbrt.f64 (/.f64 (+.f64 N 1) N)) 3)
(pow.f64 (pow.f64 (/.f64 (+.f64 N 1) N) 3) 1/3)
(pow.f64 (sqrt.f64 (/.f64 (+.f64 N 1) N)) 2)
(pow.f64 (/.f64 N (+.f64 N 1)) -1)
(pow.f64 (exp.f64 1) (-.f64 (log1p.f64 N) (log.f64 N)))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))) 2)) (cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))))
(pow.f64 (exp.f64 (sqrt.f64 (-.f64 (log1p.f64 N) (log.f64 N)))) (sqrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))))
(neg.f64 (/.f64 (+.f64 N 1) (neg.f64 N)))
(sqrt.f64 (pow.f64 (/.f64 (+.f64 N 1) N) 2))
(log.f64 (exp.f64 (/.f64 (+.f64 N 1) N)))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (+.f64 N 1) N))))
(cbrt.f64 (pow.f64 (/.f64 (+.f64 N 1) N) 3))
(cbrt.f64 (*.f64 (pow.f64 (+.f64 N 1) 3) (pow.f64 N -3)))
(cbrt.f64 (/.f64 (pow.f64 (+.f64 N 1) 3) (pow.f64 N 3)))
(expm1.f64 (log1p.f64 (/.f64 (+.f64 N 1) N)))
(exp.f64 (-.f64 (log1p.f64 N) (log.f64 N)))
(log1p.f64 (expm1.f64 (/.f64 (+.f64 N 1) N)))
(-.f64 0 (*.f64 1/2 (pow.f64 N -2)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 1/2 (pow.f64 N -2)))) 1)
(*.f64 1 (*.f64 1/2 (pow.f64 N -2)))
(*.f64 1/2 (pow.f64 N -2))
(*.f64 1/2 (neg.f64 (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 (/.f64 1 (neg.f64 (pow.f64 N 2))))
(*.f64 (*.f64 1/2 (pow.f64 N -2)) 1)
(*.f64 -1 (*.f64 1/2 (pow.f64 N -2)))
(*.f64 (cbrt.f64 (*.f64 1/2 (pow.f64 N -2))) (cbrt.f64 (/.f64 1/4 (pow.f64 N 4))))
(*.f64 (cbrt.f64 (/.f64 1/4 (pow.f64 N 4))) (cbrt.f64 (*.f64 1/2 (pow.f64 N -2))))
(*.f64 (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 (pow.f64 N -2) 1/2)
(*.f64 (pow.f64 N -2) -1/2)
(*.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))))
(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)))
(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 N) (*.f64 1/2 (pow.f64 N -2)))
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(pow.f64 (/.f64 (sqrt.f64 1/3) (pow.f64 N 3/2)) 2)
(pow.f64 (*.f64 (pow.f64 N 3) 3) -1)
(sqrt.f64 (/.f64 1/9 (pow.f64 N 6)))
(log.f64 (pow.f64 (exp.f64 1/3) (pow.f64 N -3)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 1/3 (pow.f64 N -3)))))
(cbrt.f64 (*.f64 1/27 (pow.f64 (pow.f64 N -3) 3)))
(expm1.f64 (log1p.f64 (*.f64 1/3 (pow.f64 N -3))))
(exp.f64 (log.f64 (*.f64 1/3 (pow.f64 N -3))))
(exp.f64 (*.f64 (log.f64 (*.f64 1/3 (pow.f64 N -3))) 1))
(log1p.f64 (expm1.f64 (*.f64 1/3 (pow.f64 N -3))))
(-.f64 0 (*.f64 1/2 (pow.f64 N -2)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 1/2 (pow.f64 N -2)))) 1)
(*.f64 1 (*.f64 1/2 (pow.f64 N -2)))
(*.f64 1/2 (pow.f64 N -2))
(*.f64 1/2 (neg.f64 (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 (/.f64 1 (neg.f64 (pow.f64 N 2))))
(*.f64 (*.f64 1/2 (pow.f64 N -2)) 1)
(*.f64 -1 (*.f64 1/2 (pow.f64 N -2)))
(*.f64 (cbrt.f64 (*.f64 1/2 (pow.f64 N -2))) (cbrt.f64 (/.f64 1/4 (pow.f64 N 4))))
(*.f64 (cbrt.f64 (/.f64 1/4 (pow.f64 N 4))) (cbrt.f64 (*.f64 1/2 (pow.f64 N -2))))
(*.f64 (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 (pow.f64 N -2) 1/2)
(*.f64 (pow.f64 N -2) -1/2)
(*.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))))
(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)))
(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 (exp.f64 (log1p.f64 (+.f64 (/.f64 1 N) (fma.f64 1/3 (pow.f64 N -3) (*.f64 1/2 (pow.f64 N -2)))))) 1)
(-.f64 (/.f64 (pow.f64 N -2) (-.f64 (/.f64 1 N) (fma.f64 1/3 (pow.f64 N -3) (*.f64 1/2 (pow.f64 N -2))))) (/.f64 (+.f64 (/.f64 1/9 (pow.f64 N 6)) (/.f64 1/4 (pow.f64 N 4))) (-.f64 (/.f64 1 N) (fma.f64 1/3 (pow.f64 N -3) (*.f64 1/2 (pow.f64 N -2))))))
(*.f64 1 (+.f64 (/.f64 1 N) (fma.f64 1/3 (pow.f64 N -3) (*.f64 1/2 (pow.f64 N -2)))))
(*.f64 (+.f64 (/.f64 1 N) (fma.f64 1/3 (pow.f64 N -3) (*.f64 1/2 (pow.f64 N -2)))) 1)
(*.f64 (cbrt.f64 (+.f64 (/.f64 1 N) (fma.f64 1/3 (pow.f64 N -3) (*.f64 1/2 (pow.f64 N -2))))) (cbrt.f64 (pow.f64 (+.f64 (/.f64 1 N) (fma.f64 1/3 (pow.f64 N -3) (*.f64 1/2 (pow.f64 N -2)))) 2)))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 (/.f64 1 N) (fma.f64 1/3 (pow.f64 N -3) (*.f64 1/2 (pow.f64 N -2)))) 2)) (cbrt.f64 (+.f64 (/.f64 1 N) (fma.f64 1/3 (pow.f64 N -3) (*.f64 1/2 (pow.f64 N -2))))))
(*.f64 (hypot.f64 (sqrt.f64 (fma.f64 1/3 (pow.f64 N -3) (*.f64 1/2 (pow.f64 N -2)))) (pow.f64 N -1/2)) (hypot.f64 (sqrt.f64 (fma.f64 1/3 (pow.f64 N -3) (*.f64 1/2 (pow.f64 N -2)))) (pow.f64 N -1/2)))
(*.f64 (+.f64 (pow.f64 (fma.f64 1/3 (pow.f64 N -3) (*.f64 1/2 (pow.f64 N -2))) 3) (pow.f64 N -3)) (/.f64 1 (-.f64 (+.f64 (pow.f64 N -2) (+.f64 (/.f64 1/9 (pow.f64 N 6)) (/.f64 1/4 (pow.f64 N 4)))) (/.f64 (fma.f64 1/3 (pow.f64 N -3) (*.f64 1/2 (pow.f64 N -2))) N))))
(*.f64 (-.f64 (pow.f64 N -2) (+.f64 (/.f64 1/9 (pow.f64 N 6)) (/.f64 1/4 (pow.f64 N 4)))) (/.f64 1 (-.f64 (/.f64 1 N) (fma.f64 1/3 (pow.f64 N -3) (*.f64 1/2 (pow.f64 N -2))))))
(/.f64 1 (/.f64 (-.f64 (+.f64 (pow.f64 N -2) (+.f64 (/.f64 1/9 (pow.f64 N 6)) (/.f64 1/4 (pow.f64 N 4)))) (/.f64 (fma.f64 1/3 (pow.f64 N -3) (*.f64 1/2 (pow.f64 N -2))) N)) (+.f64 (pow.f64 (fma.f64 1/3 (pow.f64 N -3) (*.f64 1/2 (pow.f64 N -2))) 3) (pow.f64 N -3))))
(/.f64 1 (/.f64 (-.f64 (/.f64 1 N) (fma.f64 1/3 (pow.f64 N -3) (*.f64 1/2 (pow.f64 N -2)))) (-.f64 (pow.f64 N -2) (+.f64 (/.f64 1/9 (pow.f64 N 6)) (/.f64 1/4 (pow.f64 N 4))))))
(/.f64 (+.f64 (pow.f64 (fma.f64 1/3 (pow.f64 N -3) (*.f64 1/2 (pow.f64 N -2))) 3) (pow.f64 N -3)) (-.f64 (+.f64 (pow.f64 N -2) (+.f64 (/.f64 1/9 (pow.f64 N 6)) (/.f64 1/4 (pow.f64 N 4)))) (/.f64 (fma.f64 1/3 (pow.f64 N -3) (*.f64 1/2 (pow.f64 N -2))) N)))
(/.f64 (+.f64 (pow.f64 (fma.f64 1/3 (pow.f64 N -3) (*.f64 1/2 (pow.f64 N -2))) 3) (pow.f64 N -3)) (+.f64 (+.f64 (/.f64 1/9 (pow.f64 N 6)) (/.f64 1/4 (pow.f64 N 4))) (-.f64 (pow.f64 N -2) (/.f64 (fma.f64 1/3 (pow.f64 N -3) (*.f64 1/2 (pow.f64 N -2))) N))))
(/.f64 (-.f64 (pow.f64 N -2) (+.f64 (/.f64 1/9 (pow.f64 N 6)) (/.f64 1/4 (pow.f64 N 4)))) (-.f64 (/.f64 1 N) (fma.f64 1/3 (pow.f64 N -3) (*.f64 1/2 (pow.f64 N -2)))))
(/.f64 (+.f64 (pow.f64 N 5) (*.f64 N (fma.f64 1/3 (pow.f64 N 2) (*.f64 (pow.f64 N 3) -1/2)))) (pow.f64 N 6))
(/.f64 (+.f64 (+.f64 (/.f64 1/9 (pow.f64 N 6)) (-.f64 (/.f64 1/4 (pow.f64 N 4)) (/.f64 -1/6 (pow.f64 N 5)))) (*.f64 N (+.f64 (/.f64 -1/8 (pow.f64 N 6)) (*.f64 1/27 (pow.f64 (pow.f64 N -3) 3))))) (*.f64 N (+.f64 (/.f64 1/9 (pow.f64 N 6)) (-.f64 (/.f64 1/4 (pow.f64 N 4)) (/.f64 -1/6 (pow.f64 N 5))))))
(/.f64 (+.f64 (fma.f64 1/3 (pow.f64 N -3) (*.f64 1/2 (pow.f64 N -2))) (*.f64 N (+.f64 (/.f64 1/9 (pow.f64 N 6)) (/.f64 1/4 (pow.f64 N 4))))) (*.f64 N (fma.f64 1/3 (pow.f64 N -3) (*.f64 1/2 (pow.f64 N -2)))))
(/.f64 (+.f64 (*.f64 -1 (pow.f64 N 5)) (*.f64 (neg.f64 N) (fma.f64 1/3 (pow.f64 N 2) (*.f64 (pow.f64 N 3) -1/2)))) (*.f64 (neg.f64 N) (pow.f64 N 5)))
(/.f64 (+.f64 (*.f64 -1 (+.f64 (/.f64 1/9 (pow.f64 N 6)) (-.f64 (/.f64 1/4 (pow.f64 N 4)) (/.f64 -1/6 (pow.f64 N 5))))) (*.f64 (neg.f64 N) (+.f64 (/.f64 -1/8 (pow.f64 N 6)) (*.f64 1/27 (pow.f64 (pow.f64 N -3) 3))))) (*.f64 (neg.f64 N) (+.f64 (/.f64 1/9 (pow.f64 N 6)) (-.f64 (/.f64 1/4 (pow.f64 N 4)) (/.f64 -1/6 (pow.f64 N 5))))))
(/.f64 (+.f64 (*.f64 -1 (fma.f64 1/3 (pow.f64 N -3) (*.f64 1/2 (pow.f64 N -2)))) (*.f64 (neg.f64 N) (+.f64 (/.f64 1/9 (pow.f64 N 6)) (/.f64 1/4 (pow.f64 N 4))))) (*.f64 (neg.f64 N) (fma.f64 1/3 (pow.f64 N -3) (*.f64 1/2 (pow.f64 N -2)))))
(/.f64 (+.f64 (*.f64 (fma.f64 1/3 (pow.f64 N 2) (*.f64 (pow.f64 N 3) -1/2)) N) (*.f64 (pow.f64 N 5) 1)) (pow.f64 N 6))
(/.f64 (+.f64 (*.f64 (fma.f64 1/3 (pow.f64 N 2) (*.f64 (pow.f64 N 3) -1/2)) (neg.f64 N)) (*.f64 (pow.f64 N 5) -1)) (*.f64 (pow.f64 N 5) (neg.f64 N)))
(/.f64 (+.f64 (*.f64 (+.f64 (/.f64 -1/8 (pow.f64 N 6)) (*.f64 1/27 (pow.f64 (pow.f64 N -3) 3))) N) (*.f64 (+.f64 (/.f64 1/9 (pow.f64 N 6)) (-.f64 (/.f64 1/4 (pow.f64 N 4)) (/.f64 -1/6 (pow.f64 N 5)))) 1)) (*.f64 (+.f64 (/.f64 1/9 (pow.f64 N 6)) (-.f64 (/.f64 1/4 (pow.f64 N 4)) (/.f64 -1/6 (pow.f64 N 5)))) N))
(/.f64 (+.f64 (*.f64 (+.f64 (/.f64 -1/8 (pow.f64 N 6)) (*.f64 1/27 (pow.f64 (pow.f64 N -3) 3))) (neg.f64 N)) (*.f64 (+.f64 (/.f64 1/9 (pow.f64 N 6)) (-.f64 (/.f64 1/4 (pow.f64 N 4)) (/.f64 -1/6 (pow.f64 N 5)))) -1)) (*.f64 (+.f64 (/.f64 1/9 (pow.f64 N 6)) (-.f64 (/.f64 1/4 (pow.f64 N 4)) (/.f64 -1/6 (pow.f64 N 5)))) (neg.f64 N)))
(/.f64 (+.f64 (*.f64 (+.f64 (/.f64 1/9 (pow.f64 N 6)) (/.f64 1/4 (pow.f64 N 4))) N) (fma.f64 1/3 (pow.f64 N -3) (*.f64 1/2 (pow.f64 N -2)))) (*.f64 (fma.f64 1/3 (pow.f64 N -3) (*.f64 1/2 (pow.f64 N -2))) N))
(/.f64 (+.f64 (*.f64 (+.f64 (/.f64 1/9 (pow.f64 N 6)) (/.f64 1/4 (pow.f64 N 4))) (neg.f64 N)) (*.f64 (fma.f64 1/3 (pow.f64 N -3) (*.f64 1/2 (pow.f64 N -2))) -1)) (*.f64 (fma.f64 1/3 (pow.f64 N -3) (*.f64 1/2 (pow.f64 N -2))) (neg.f64 N)))
(/.f64 (neg.f64 (+.f64 (pow.f64 (fma.f64 1/3 (pow.f64 N -3) (*.f64 1/2 (pow.f64 N -2))) 3) (pow.f64 N -3))) (neg.f64 (-.f64 (+.f64 (pow.f64 N -2) (+.f64 (/.f64 1/9 (pow.f64 N 6)) (/.f64 1/4 (pow.f64 N 4)))) (/.f64 (fma.f64 1/3 (pow.f64 N -3) (*.f64 1/2 (pow.f64 N -2))) N))))
(/.f64 (neg.f64 (-.f64 (pow.f64 N -2) (+.f64 (/.f64 1/9 (pow.f64 N 6)) (/.f64 1/4 (pow.f64 N 4))))) (neg.f64 (-.f64 (/.f64 1 N) (fma.f64 1/3 (pow.f64 N -3) (*.f64 1/2 (pow.f64 N -2))))))
(/.f64 (+.f64 (pow.f64 (+.f64 (/.f64 1 N) (*.f64 1/3 (pow.f64 N -3))) 3) (/.f64 -1/8 (pow.f64 N 6))) (+.f64 (*.f64 (+.f64 (/.f64 1 N) (*.f64 1/3 (pow.f64 N -3))) (+.f64 (/.f64 1 N) (*.f64 1/3 (pow.f64 N -3)))) (-.f64 (/.f64 1/4 (pow.f64 N 4)) (*.f64 (+.f64 (/.f64 1 N) (*.f64 1/3 (pow.f64 N -3))) (*.f64 1/2 (pow.f64 N -2))))))
(/.f64 (-.f64 (+.f64 (/.f64 1/9 (pow.f64 N 6)) (/.f64 1/4 (pow.f64 N 4))) (pow.f64 N -2)) (-.f64 (fma.f64 1/3 (pow.f64 N -3) (*.f64 1/2 (pow.f64 N -2))) (/.f64 1 N)))
(/.f64 (-.f64 (*.f64 (+.f64 (/.f64 1 N) (*.f64 1/3 (pow.f64 N -3))) (+.f64 (/.f64 1 N) (*.f64 1/3 (pow.f64 N -3)))) (/.f64 1/4 (pow.f64 N 4))) (-.f64 (+.f64 (/.f64 1 N) (*.f64 1/3 (pow.f64 N -3))) (*.f64 1/2 (pow.f64 N -2))))
(pow.f64 (+.f64 (/.f64 1 N) (fma.f64 1/3 (pow.f64 N -3) (*.f64 1/2 (pow.f64 N -2)))) 1)
(pow.f64 (cbrt.f64 (+.f64 (/.f64 1 N) (fma.f64 1/3 (pow.f64 N -3) (*.f64 1/2 (pow.f64 N -2))))) 3)
(pow.f64 (pow.f64 (+.f64 (/.f64 1 N) (fma.f64 1/3 (pow.f64 N -3) (*.f64 1/2 (pow.f64 N -2)))) 3) 1/3)
(pow.f64 (hypot.f64 (sqrt.f64 (fma.f64 1/3 (pow.f64 N -3) (*.f64 1/2 (pow.f64 N -2)))) (pow.f64 N -1/2)) 2)
(sqrt.f64 (pow.f64 (+.f64 (/.f64 1 N) (fma.f64 1/3 (pow.f64 N -3) (*.f64 1/2 (pow.f64 N -2)))) 2))
(log.f64 (exp.f64 (+.f64 (/.f64 1 N) (fma.f64 1/3 (pow.f64 N -3) (*.f64 1/2 (pow.f64 N -2))))))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 (/.f64 1 N) (fma.f64 1/3 (pow.f64 N -3) (*.f64 1/2 (pow.f64 N -2)))))))
(cbrt.f64 (pow.f64 (+.f64 (/.f64 1 N) (fma.f64 1/3 (pow.f64 N -3) (*.f64 1/2 (pow.f64 N -2)))) 3))
(expm1.f64 (log1p.f64 (+.f64 (/.f64 1 N) (fma.f64 1/3 (pow.f64 N -3) (*.f64 1/2 (pow.f64 N -2))))))
(exp.f64 (log.f64 (+.f64 (/.f64 1 N) (fma.f64 1/3 (pow.f64 N -3) (*.f64 1/2 (pow.f64 N -2))))))
(exp.f64 (*.f64 (log.f64 (+.f64 (/.f64 1 N) (fma.f64 1/3 (pow.f64 N -3) (*.f64 1/2 (pow.f64 N -2))))) 1))
(log1p.f64 (expm1.f64 (+.f64 (/.f64 1 N) (fma.f64 1/3 (pow.f64 N -3) (*.f64 1/2 (pow.f64 N -2))))))
(fma.f64 1 (/.f64 1 N) (fma.f64 1/3 (pow.f64 N -3) (*.f64 1/2 (pow.f64 N -2))))
(fma.f64 1 (fma.f64 1/3 (pow.f64 N -3) (*.f64 1/2 (pow.f64 N -2))) (/.f64 1 N))
(fma.f64 (cbrt.f64 (+.f64 (/.f64 1/9 (pow.f64 N 6)) (/.f64 1/4 (pow.f64 N 4)))) (cbrt.f64 (fma.f64 1/3 (pow.f64 N -3) (*.f64 1/2 (pow.f64 N -2)))) (/.f64 1 N))
(fma.f64 (cbrt.f64 (pow.f64 N -2)) (/.f64 1 (cbrt.f64 N)) (fma.f64 1/3 (pow.f64 N -3) (*.f64 1/2 (pow.f64 N -2))))
(fma.f64 (sqrt.f64 (fma.f64 1/3 (pow.f64 N -3) (*.f64 1/2 (pow.f64 N -2)))) (sqrt.f64 (fma.f64 1/3 (pow.f64 N -3) (*.f64 1/2 (pow.f64 N -2)))) (/.f64 1 N))
(fma.f64 (pow.f64 N -1/2) (pow.f64 N -1/2) (fma.f64 1/3 (pow.f64 N -3) (*.f64 1/2 (pow.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 (-.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 (/.f64 1 N) (/.f64 -1/2 (pow.f64 N 2)))
(-.f64 (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 N 3))) (/.f64 1 N)) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(+.f64 (/.f64 1 N) (-.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 1/2 (pow.f64 N 2))))
(+.f64 (+.f64 (/.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 (/.f64 1 N) (/.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 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 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 (/.f64 1 N) (/.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 N) (+.f64 (/.f64 1/3 (pow.f64 N 3)) (+.f64 (/.f64 -1/2 (pow.f64 N 2)) (/.f64 -1/4 (pow.f64 N 4)))))
(/.f64 1 N)
(+.f64 1 (/.f64 1 N))
(+.f64 1 (/.f64 1 N))
(+.f64 1 (/.f64 1 N))
1
(+.f64 1 (/.f64 1 N))
(+.f64 1 (/.f64 1 N))
(+.f64 1 (/.f64 1 N))
1
(+.f64 1 (/.f64 1 N))
(+.f64 1 (/.f64 1 N))
(+.f64 1 (/.f64 1 N))
(/.f64 -1/2 (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)))
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(/.f64 (neg.f64 (-.f64 (pow.f64 N -2) (+.f64 (/.f64 1/4 (pow.f64 N 4)) (/.f64 1/9 (pow.f64 N 6))))) (neg.f64 (-.f64 (/.f64 1 N) (fma.f64 1/3 (pow.f64 N -3) (*.f64 1/2 (pow.f64 N -2))))))
(/.f64 (+.f64 (/.f64 1/4 (pow.f64 N 4)) (-.f64 (/.f64 1/9 (pow.f64 N 6)) (pow.f64 N -2))) (+.f64 (fma.f64 1/3 (pow.f64 N -3) (*.f64 1/2 (pow.f64 N -2))) (/.f64 -1 N)))
(/.f64 (+.f64 (pow.f64 (+.f64 (/.f64 1 N) (*.f64 1/3 (pow.f64 N -3))) 3) (/.f64 -1/8 (pow.f64 N 6))) (+.f64 (*.f64 (+.f64 (/.f64 1 N) (*.f64 1/3 (pow.f64 N -3))) (+.f64 (/.f64 1 N) (*.f64 1/3 (pow.f64 N -3)))) (-.f64 (/.f64 1/4 (pow.f64 N 4)) (*.f64 (+.f64 (/.f64 1 N) (*.f64 1/3 (pow.f64 N -3))) (*.f64 1/2 (pow.f64 N -2))))))
(/.f64 (+.f64 (/.f64 -1/8 (pow.f64 N 6)) (pow.f64 (+.f64 (/.f64 1 N) (*.f64 1/3 (pow.f64 N -3))) 3)) (fma.f64 (+.f64 (/.f64 1 N) (*.f64 1/3 (pow.f64 N -3))) (+.f64 (/.f64 1 N) (*.f64 1/3 (pow.f64 N -3))) (-.f64 (/.f64 1/4 (pow.f64 N 4)) (*.f64 (*.f64 1/2 (pow.f64 N -2)) (+.f64 (/.f64 1 N) (*.f64 1/3 (pow.f64 N -3)))))))
(/.f64 (+.f64 (/.f64 -1/8 (pow.f64 N 6)) (pow.f64 (fma.f64 1/3 (pow.f64 N -3) (/.f64 1 N)) 3)) (+.f64 (fma.f64 (fma.f64 1/3 (pow.f64 N -3) (/.f64 1 N)) (fma.f64 1/3 (pow.f64 N -3) (/.f64 1 N)) (/.f64 1/4 (pow.f64 N 4))) (*.f64 (*.f64 -1/2 (pow.f64 N -2)) (fma.f64 1/3 (pow.f64 N -3) (/.f64 1 N)))))
(/.f64 (-.f64 (+.f64 (/.f64 1/9 (pow.f64 N 6)) (/.f64 1/4 (pow.f64 N 4))) (pow.f64 N -2)) (-.f64 (fma.f64 1/3 (pow.f64 N -3) (*.f64 1/2 (pow.f64 N -2))) (/.f64 1 N)))
(/.f64 (neg.f64 (-.f64 (pow.f64 N -2) (+.f64 (/.f64 1/4 (pow.f64 N 4)) (/.f64 1/9 (pow.f64 N 6))))) (neg.f64 (-.f64 (/.f64 1 N) (fma.f64 1/3 (pow.f64 N -3) (*.f64 1/2 (pow.f64 N -2))))))
(/.f64 (+.f64 (/.f64 1/4 (pow.f64 N 4)) (-.f64 (/.f64 1/9 (pow.f64 N 6)) (pow.f64 N -2))) (+.f64 (fma.f64 1/3 (pow.f64 N -3) (*.f64 1/2 (pow.f64 N -2))) (/.f64 -1 N)))
(/.f64 (-.f64 (*.f64 (+.f64 (/.f64 1 N) (*.f64 1/3 (pow.f64 N -3))) (+.f64 (/.f64 1 N) (*.f64 1/3 (pow.f64 N -3)))) (/.f64 1/4 (pow.f64 N 4))) (-.f64 (+.f64 (/.f64 1 N) (*.f64 1/3 (pow.f64 N -3))) (*.f64 1/2 (pow.f64 N -2))))
(/.f64 (fma.f64 (+.f64 (/.f64 1 N) (*.f64 1/3 (pow.f64 N -3))) (+.f64 (/.f64 1 N) (*.f64 1/3 (pow.f64 N -3))) (neg.f64 (/.f64 1/4 (pow.f64 N 4)))) (+.f64 (/.f64 1 N) (fma.f64 1/3 (pow.f64 N -3) (*.f64 -1/2 (pow.f64 N -2)))))
(/.f64 (fma.f64 (fma.f64 1/3 (pow.f64 N -3) (/.f64 1 N)) (fma.f64 1/3 (pow.f64 N -3) (/.f64 1 N)) (/.f64 -1/4 (pow.f64 N 4))) (+.f64 (/.f64 1 N) (fma.f64 -1/2 (pow.f64 N -2) (*.f64 1/3 (pow.f64 N -3)))))
(pow.f64 (+.f64 (/.f64 1 N) (fma.f64 1/3 (pow.f64 N -3) (*.f64 1/2 (pow.f64 N -2)))) 1)
(+.f64 (/.f64 1 N) (fma.f64 1/3 (pow.f64 N -3) (*.f64 1/2 (pow.f64 N -2))))
(pow.f64 (cbrt.f64 (+.f64 (/.f64 1 N) (fma.f64 1/3 (pow.f64 N -3) (*.f64 1/2 (pow.f64 N -2))))) 3)
(+.f64 (/.f64 1 N) (fma.f64 1/3 (pow.f64 N -3) (*.f64 1/2 (pow.f64 N -2))))
(pow.f64 (pow.f64 (+.f64 (/.f64 1 N) (fma.f64 1/3 (pow.f64 N -3) (*.f64 1/2 (pow.f64 N -2)))) 3) 1/3)
(+.f64 (/.f64 1 N) (fma.f64 1/3 (pow.f64 N -3) (*.f64 1/2 (pow.f64 N -2))))
(pow.f64 (hypot.f64 (sqrt.f64 (fma.f64 1/3 (pow.f64 N -3) (*.f64 1/2 (pow.f64 N -2)))) (pow.f64 N -1/2)) 2)
(sqrt.f64 (pow.f64 (+.f64 (/.f64 1 N) (fma.f64 1/3 (pow.f64 N -3) (*.f64 1/2 (pow.f64 N -2)))) 2))
(fabs.f64 (+.f64 (/.f64 1 N) (fma.f64 1/3 (pow.f64 N -3) (*.f64 1/2 (pow.f64 N -2)))))
(log.f64 (exp.f64 (+.f64 (/.f64 1 N) (fma.f64 1/3 (pow.f64 N -3) (*.f64 1/2 (pow.f64 N -2))))))
(+.f64 (/.f64 1 N) (fma.f64 1/3 (pow.f64 N -3) (*.f64 1/2 (pow.f64 N -2))))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 (/.f64 1 N) (fma.f64 1/3 (pow.f64 N -3) (*.f64 1/2 (pow.f64 N -2)))))))
(+.f64 (/.f64 1 N) (fma.f64 1/3 (pow.f64 N -3) (*.f64 1/2 (pow.f64 N -2))))
(cbrt.f64 (pow.f64 (+.f64 (/.f64 1 N) (fma.f64 1/3 (pow.f64 N -3) (*.f64 1/2 (pow.f64 N -2)))) 3))
(+.f64 (/.f64 1 N) (fma.f64 1/3 (pow.f64 N -3) (*.f64 1/2 (pow.f64 N -2))))
(expm1.f64 (log1p.f64 (+.f64 (/.f64 1 N) (fma.f64 1/3 (pow.f64 N -3) (*.f64 1/2 (pow.f64 N -2))))))
(+.f64 (/.f64 1 N) (fma.f64 1/3 (pow.f64 N -3) (*.f64 1/2 (pow.f64 N -2))))
(exp.f64 (log.f64 (+.f64 (/.f64 1 N) (fma.f64 1/3 (pow.f64 N -3) (*.f64 1/2 (pow.f64 N -2))))))
(+.f64 (/.f64 1 N) (fma.f64 1/3 (pow.f64 N -3) (*.f64 1/2 (pow.f64 N -2))))
(exp.f64 (*.f64 (log.f64 (+.f64 (/.f64 1 N) (fma.f64 1/3 (pow.f64 N -3) (*.f64 1/2 (pow.f64 N -2))))) 1))
(+.f64 (/.f64 1 N) (fma.f64 1/3 (pow.f64 N -3) (*.f64 1/2 (pow.f64 N -2))))
(log1p.f64 (expm1.f64 (+.f64 (/.f64 1 N) (fma.f64 1/3 (pow.f64 N -3) (*.f64 1/2 (pow.f64 N -2))))))
(+.f64 (/.f64 1 N) (fma.f64 1/3 (pow.f64 N -3) (*.f64 1/2 (pow.f64 N -2))))
(fma.f64 1 (/.f64 1 N) (fma.f64 1/3 (pow.f64 N -3) (*.f64 1/2 (pow.f64 N -2))))
(+.f64 (/.f64 1 N) (fma.f64 1/3 (pow.f64 N -3) (*.f64 1/2 (pow.f64 N -2))))
(fma.f64 1 (fma.f64 1/3 (pow.f64 N -3) (*.f64 1/2 (pow.f64 N -2))) (/.f64 1 N))
(+.f64 (/.f64 1 N) (fma.f64 1/3 (pow.f64 N -3) (*.f64 1/2 (pow.f64 N -2))))
(fma.f64 (cbrt.f64 (+.f64 (/.f64 1/9 (pow.f64 N 6)) (/.f64 1/4 (pow.f64 N 4)))) (cbrt.f64 (fma.f64 1/3 (pow.f64 N -3) (*.f64 1/2 (pow.f64 N -2)))) (/.f64 1 N))
(fma.f64 (cbrt.f64 (+.f64 (/.f64 1/4 (pow.f64 N 4)) (/.f64 1/9 (pow.f64 N 6)))) (cbrt.f64 (fma.f64 1/3 (pow.f64 N -3) (*.f64 1/2 (pow.f64 N -2)))) (/.f64 1 N))
(fma.f64 (cbrt.f64 (fma.f64 1/3 (pow.f64 N -3) (*.f64 1/2 (pow.f64 N -2)))) (cbrt.f64 (+.f64 (/.f64 1/4 (pow.f64 N 4)) (/.f64 1/9 (pow.f64 N 6)))) (/.f64 1 N))
(fma.f64 (cbrt.f64 (pow.f64 N -2)) (/.f64 1 (cbrt.f64 N)) (fma.f64 1/3 (pow.f64 N -3) (*.f64 1/2 (pow.f64 N -2))))
(fma.f64 (sqrt.f64 (fma.f64 1/3 (pow.f64 N -3) (*.f64 1/2 (pow.f64 N -2)))) (sqrt.f64 (fma.f64 1/3 (pow.f64 N -3) (*.f64 1/2 (pow.f64 N -2)))) (/.f64 1 N))
(+.f64 (/.f64 1 N) (fma.f64 1/3 (pow.f64 N -3) (*.f64 1/2 (pow.f64 N -2))))
(fma.f64 (pow.f64 N -1/2) (pow.f64 N -1/2) (fma.f64 1/3 (pow.f64 N -3) (*.f64 1/2 (pow.f64 N -2))))
(+.f64 (/.f64 1 N) (fma.f64 1/3 (pow.f64 N -3) (*.f64 1/2 (pow.f64 N -2))))

eval217.0ms (3.4%)

Compiler

Compiled 9058 to 7018 computations (22.5% saved)

prune66.0ms (1%)

Pruning

9 alts after pruning (4 fresh and 5 done)

PrunedKeptTotal
New4661467
Fresh033
Picked055
Done000
Total4669475
Accuracy
100.0%
Counts
475 → 9
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶18.3%
(/.f64 N (/.f64 (pow.f64 N 3) (+.f64 N -1/2)))
✓54.3%
(/.f64 1 N)
✓52.4%
(-.f64 (/.f64 1 N) (/.f64 1/2 (pow.f64 N 2)))
▶49.3%
(-.f64 N (log.f64 N))
✓53.2%
(+.f64 (/.f64 1 N) (+.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 -1/2 (pow.f64 N 2))))
▶51.4%
(*.f64 2 (log.f64 (sqrt.f64 (/.f64 (+.f64 N 1) N))))
▶51.4%
(neg.f64 (log.f64 (/.f64 N (+.f64 N 1))))
✓48.0%
(neg.f64 (log.f64 N))
✓51.4%
(log.f64 (/.f64 (+.f64 N 1) N))
▶18.3%
(/.f64 N (/.f64 (pow.f64 N 3) (+.f64 N -1/2)))
✓54.3%
(/.f64 1 N)
✓52.4%
(-.f64 (/.f64 1 N) (/.f64 1/2 (pow.f64 N 2)))
▶49.3%
(-.f64 N (log.f64 N))
✓53.2%
(+.f64 (/.f64 1 N) (+.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 -1/2 (pow.f64 N 2))))
▶51.4%
(*.f64 2 (log.f64 (sqrt.f64 (/.f64 (+.f64 N 1) N))))
▶51.4%
(neg.f64 (log.f64 (/.f64 N (+.f64 N 1))))
✓48.0%
(neg.f64 (log.f64 N))
✓51.4%
(log.f64 (/.f64 (+.f64 N 1) N))
Compiler

Compiled 148 to 112 computations (24.3% saved)

localize268.0ms (4.2%)

Localize:

Found 8 expressions with local error:

NewAccuracyProgram
✓92.0%
(/.f64 (pow.f64 N 3) (+.f64 N -1/2))
✓69.0%
(/.f64 N (/.f64 (pow.f64 N 3) (+.f64 N -1/2)))
✓100.0%
(-.f64 N (log.f64 N))
100.0%
(/.f64 (+.f64 N 1) N)
✓99.9%
(sqrt.f64 (/.f64 (+.f64 N 1) N))
✓51.4%
(log.f64 (sqrt.f64 (/.f64 (+.f64 N 1) N)))
✓100.0%
(/.f64 N (+.f64 N 1))
✓51.4%
(log.f64 (/.f64 N (+.f64 N 1)))
Compiler

Compiled 90 to 59 computations (34.4% saved)

series14.0ms (0.2%)

Counts
7 → 76
Calls

21 calls:

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

rewrite124.0ms (1.9%)

Algorithm
1×batch-egg-rewrite
Rules
1346×prod-diff
787×log1p-expm1-u
528×expm1-udef
528×log1p-udef
190×associate-*r*
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
021168
1319157
24591157
Stop Event
1×node limit
Counts
7 → 279
Calls
Call 1
Inputs
(log.f64 (/.f64 N (+.f64 N 1)))
(/.f64 N (+.f64 N 1))
(log.f64 (sqrt.f64 (/.f64 (+.f64 N 1) N)))
(sqrt.f64 (/.f64 (+.f64 N 1) N))
(-.f64 N (log.f64 N))
(/.f64 N (/.f64 (pow.f64 N 3) (+.f64 N -1/2)))
(/.f64 (pow.f64 N 3) (+.f64 N -1/2))
Outputs
(+.f64 (-.f64 (log.f64 N) (log1p.f64 N)) (fma.f64 (neg.f64 (sqrt.f64 (log1p.f64 N))) (sqrt.f64 (log1p.f64 N)) (log1p.f64 N)))
(+.f64 (log.f64 N) (neg.f64 (log1p.f64 N)))
(+.f64 (log.f64 N) (log.f64 (/.f64 1 (+.f64 N 1))))
(+.f64 0 (-.f64 (log.f64 N) (log1p.f64 N)))
(+.f64 (log.f64 (cbrt.f64 (pow.f64 (/.f64 N (+.f64 N 1)) 2))) (log.f64 (cbrt.f64 (/.f64 N (+.f64 N 1)))))
(+.f64 (log.f64 (sqrt.f64 (/.f64 N (+.f64 N 1)))) (log.f64 (sqrt.f64 (/.f64 N (+.f64 N 1)))))
(+.f64 (fma.f64 1 (log.f64 N) (neg.f64 (*.f64 (log1p.f64 N) 1))) (fma.f64 (neg.f64 (log1p.f64 N)) 1 (*.f64 (log1p.f64 N) 1)))
(+.f64 (fma.f64 1 (log.f64 N) (neg.f64 (*.f64 (cbrt.f64 (log1p.f64 N)) (*.f64 (cbrt.f64 (log1p.f64 N)) (cbrt.f64 (log1p.f64 N)))))) (fma.f64 (neg.f64 (cbrt.f64 (log1p.f64 N))) (*.f64 (cbrt.f64 (log1p.f64 N)) (cbrt.f64 (log1p.f64 N))) (*.f64 (cbrt.f64 (log1p.f64 N)) (*.f64 (cbrt.f64 (log1p.f64 N)) (cbrt.f64 (log1p.f64 N))))))
(+.f64 (fma.f64 (log.f64 N) 1 (neg.f64 (*.f64 (log1p.f64 N) 1))) (fma.f64 (neg.f64 (log1p.f64 N)) 1 (*.f64 (log1p.f64 N) 1)))
(+.f64 (fma.f64 (log.f64 N) 1 (neg.f64 (*.f64 (cbrt.f64 (log1p.f64 N)) (*.f64 (cbrt.f64 (log1p.f64 N)) (cbrt.f64 (log1p.f64 N)))))) (fma.f64 (neg.f64 (cbrt.f64 (log1p.f64 N))) (*.f64 (cbrt.f64 (log1p.f64 N)) (cbrt.f64 (log1p.f64 N))) (*.f64 (cbrt.f64 (log1p.f64 N)) (*.f64 (cbrt.f64 (log1p.f64 N)) (cbrt.f64 (log1p.f64 N))))))
(+.f64 (fma.f64 (log.f64 N) 1 (neg.f64 (log1p.f64 N))) (fma.f64 (neg.f64 (sqrt.f64 (log1p.f64 N))) (sqrt.f64 (log1p.f64 N)) (log1p.f64 N)))
(+.f64 (fma.f64 (cbrt.f64 (log.f64 N)) (pow.f64 (cbrt.f64 (log.f64 N)) 2) (neg.f64 (*.f64 (log1p.f64 N) 1))) (fma.f64 (neg.f64 (log1p.f64 N)) 1 (*.f64 (log1p.f64 N) 1)))
(+.f64 (fma.f64 (cbrt.f64 (log.f64 N)) (pow.f64 (cbrt.f64 (log.f64 N)) 2) (neg.f64 (*.f64 (cbrt.f64 (log1p.f64 N)) (*.f64 (cbrt.f64 (log1p.f64 N)) (cbrt.f64 (log1p.f64 N)))))) (fma.f64 (neg.f64 (cbrt.f64 (log1p.f64 N))) (*.f64 (cbrt.f64 (log1p.f64 N)) (cbrt.f64 (log1p.f64 N))) (*.f64 (cbrt.f64 (log1p.f64 N)) (*.f64 (cbrt.f64 (log1p.f64 N)) (cbrt.f64 (log1p.f64 N))))))
(+.f64 (fma.f64 (cbrt.f64 (log.f64 N)) (pow.f64 (cbrt.f64 (log.f64 N)) 2) (neg.f64 (log1p.f64 N))) (fma.f64 (neg.f64 (sqrt.f64 (log1p.f64 N))) (sqrt.f64 (log1p.f64 N)) (log1p.f64 N)))
(+.f64 (fma.f64 (pow.f64 (cbrt.f64 (log.f64 N)) 2) (cbrt.f64 (log.f64 N)) (neg.f64 (*.f64 (log1p.f64 N) 1))) (fma.f64 (neg.f64 (log1p.f64 N)) 1 (*.f64 (log1p.f64 N) 1)))
(+.f64 (fma.f64 (pow.f64 (cbrt.f64 (log.f64 N)) 2) (cbrt.f64 (log.f64 N)) (neg.f64 (*.f64 (cbrt.f64 (log1p.f64 N)) (*.f64 (cbrt.f64 (log1p.f64 N)) (cbrt.f64 (log1p.f64 N)))))) (fma.f64 (neg.f64 (cbrt.f64 (log1p.f64 N))) (*.f64 (cbrt.f64 (log1p.f64 N)) (cbrt.f64 (log1p.f64 N))) (*.f64 (cbrt.f64 (log1p.f64 N)) (*.f64 (cbrt.f64 (log1p.f64 N)) (cbrt.f64 (log1p.f64 N))))))
(+.f64 (fma.f64 (sqrt.f64 (log.f64 N)) (sqrt.f64 (log.f64 N)) (neg.f64 (*.f64 (log1p.f64 N) 1))) (fma.f64 (neg.f64 (log1p.f64 N)) 1 (*.f64 (log1p.f64 N) 1)))
(+.f64 (fma.f64 (sqrt.f64 (log.f64 N)) (sqrt.f64 (log.f64 N)) (neg.f64 (*.f64 (cbrt.f64 (log1p.f64 N)) (*.f64 (cbrt.f64 (log1p.f64 N)) (cbrt.f64 (log1p.f64 N)))))) (fma.f64 (neg.f64 (cbrt.f64 (log1p.f64 N))) (*.f64 (cbrt.f64 (log1p.f64 N)) (cbrt.f64 (log1p.f64 N))) (*.f64 (cbrt.f64 (log1p.f64 N)) (*.f64 (cbrt.f64 (log1p.f64 N)) (cbrt.f64 (log1p.f64 N))))))
(-.f64 (log.f64 N) (log1p.f64 N))
(-.f64 0 (-.f64 (log1p.f64 N) (log.f64 N)))
(-.f64 (exp.f64 (log1p.f64 (-.f64 (log.f64 N) (log1p.f64 N)))) 1)
(-.f64 (log.f64 (neg.f64 N)) (log.f64 (+.f64 (neg.f64 N) -1)))
(*.f64 1 (-.f64 (log.f64 N) (log1p.f64 N)))
(*.f64 (-.f64 (log.f64 N) (log1p.f64 N)) 1)
(*.f64 (cbrt.f64 (-.f64 (log.f64 N) (log1p.f64 N))) (pow.f64 (cbrt.f64 (-.f64 (log.f64 N) (log1p.f64 N))) 2))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 (log.f64 N) (log1p.f64 N))) 2) (cbrt.f64 (-.f64 (log.f64 N) (log1p.f64 N))))
(*.f64 (sqrt.f64 (-.f64 (log.f64 N) (log1p.f64 N))) (sqrt.f64 (-.f64 (log.f64 N) (log1p.f64 N))))
(/.f64 (-.f64 (pow.f64 (log.f64 N) 3) (pow.f64 (log1p.f64 N) 3)) (+.f64 (pow.f64 (log.f64 N) 2) (+.f64 (*.f64 (log1p.f64 N) (log1p.f64 N)) (*.f64 (log.f64 N) (log1p.f64 N)))))
(/.f64 (-.f64 (pow.f64 (log.f64 N) 2) (*.f64 (log1p.f64 N) (log1p.f64 N))) (+.f64 (log.f64 N) (log1p.f64 N)))
(pow.f64 (-.f64 (log.f64 N) (log1p.f64 N)) 1)
(pow.f64 (cbrt.f64 (-.f64 (log.f64 N) (log1p.f64 N))) 3)
(pow.f64 (pow.f64 (-.f64 (log.f64 N) (log1p.f64 N)) 3) 1/3)
(pow.f64 (sqrt.f64 (-.f64 (log.f64 N) (log1p.f64 N))) 2)
(neg.f64 (-.f64 (log1p.f64 N) (log.f64 N)))
(sqrt.f64 (pow.f64 (-.f64 (log.f64 N) (log1p.f64 N)) 2))
(cbrt.f64 (pow.f64 (-.f64 (log.f64 N) (log1p.f64 N)) 3))
(expm1.f64 (log1p.f64 (-.f64 (log.f64 N) (log1p.f64 N))))
(exp.f64 (log.f64 (-.f64 (log.f64 N) (log1p.f64 N))))
(exp.f64 (*.f64 (log.f64 (-.f64 (log.f64 N) (log1p.f64 N))) 1))
(log1p.f64 (-.f64 (/.f64 N (+.f64 N 1)) 1))
(fma.f64 1 (log.f64 N) (neg.f64 (log1p.f64 N)))
(fma.f64 (pow.f64 (cbrt.f64 (log.f64 N)) 2) (cbrt.f64 (log.f64 N)) (neg.f64 (log1p.f64 N)))
(fma.f64 (sqrt.f64 (log.f64 N)) (sqrt.f64 (log.f64 N)) (neg.f64 (log1p.f64 N)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 N (+.f64 N 1)))) 1)
(*.f64 N (/.f64 1 (+.f64 N 1)))
(*.f64 1 (/.f64 N (+.f64 N 1)))
(*.f64 (/.f64 N (+.f64 N 1)) 1)
(*.f64 (pow.f64 (cbrt.f64 N) 2) (*.f64 (cbrt.f64 N) (/.f64 1 (+.f64 N 1))))
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(*.f64 (/.f64 (sqrt.f64 N) (pow.f64 (/.f64 N (cbrt.f64 (+.f64 N -1/2))) 2)) (/.f64 (sqrt.f64 N) (/.f64 N (cbrt.f64 (+.f64 N -1/2)))))
(*.f64 (/.f64 N 1) (/.f64 (+.f64 N -1/2) (pow.f64 N 3)))
(*.f64 (*.f64 (pow.f64 N -2) 1) (+.f64 N -1/2))
(*.f64 (*.f64 (pow.f64 N -2) (pow.f64 (cbrt.f64 (+.f64 N -1/2)) 2)) (cbrt.f64 (+.f64 N -1/2)))
(*.f64 (*.f64 (pow.f64 N -2) (sqrt.f64 (+.f64 N -1/2))) (sqrt.f64 (+.f64 N -1/2)))
(*.f64 (/.f64 N (neg.f64 (pow.f64 N 3))) (+.f64 1/2 (neg.f64 N)))
(pow.f64 (*.f64 (+.f64 N -1/2) (pow.f64 N -2)) 1)
(pow.f64 (cbrt.f64 (*.f64 (+.f64 N -1/2) (pow.f64 N -2))) 3)
(pow.f64 (pow.f64 (*.f64 (+.f64 N -1/2) (pow.f64 N -2)) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 (+.f64 N -1/2) (pow.f64 N -2))) 2)
(pow.f64 (/.f64 1 (*.f64 (+.f64 N -1/2) (pow.f64 N -2))) -1)
(neg.f64 (/.f64 N (/.f64 (neg.f64 (pow.f64 N 3)) (+.f64 N -1/2))))
(sqrt.f64 (pow.f64 (*.f64 (+.f64 N -1/2) (pow.f64 N -2)) 2))
(log.f64 (pow.f64 (exp.f64 (pow.f64 N -2)) (+.f64 N -1/2)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (+.f64 N -1/2) (pow.f64 N -2)))))
(cbrt.f64 (pow.f64 (*.f64 (+.f64 N -1/2) (pow.f64 N -2)) 3))
(cbrt.f64 (/.f64 (pow.f64 N 3) (pow.f64 (/.f64 (pow.f64 N 3) (+.f64 N -1/2)) 3)))
(expm1.f64 (log1p.f64 (*.f64 (+.f64 N -1/2) (pow.f64 N -2))))
(exp.f64 (log.f64 (*.f64 (+.f64 N -1/2) (pow.f64 N -2))))
(exp.f64 (*.f64 (log.f64 (*.f64 (+.f64 N -1/2) (pow.f64 N -2))) 1))
(log1p.f64 (expm1.f64 (*.f64 (+.f64 N -1/2) (pow.f64 N -2))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (pow.f64 N 3) (+.f64 N -1/2)))) 1)
(*.f64 N (*.f64 (pow.f64 N 2) (/.f64 1 (+.f64 N -1/2))))
(*.f64 1 (/.f64 (pow.f64 N 3) (+.f64 N -1/2)))
(*.f64 (pow.f64 N 3) (/.f64 1 (+.f64 N -1/2)))
(*.f64 (/.f64 (pow.f64 N 3) (+.f64 N -1/2)) 1)
(*.f64 (pow.f64 N 2) (*.f64 N (/.f64 1 (+.f64 N -1/2))))
(*.f64 (/.f64 N (cbrt.f64 (+.f64 N -1/2))) (pow.f64 (/.f64 N (cbrt.f64 (+.f64 N -1/2))) 2))
(*.f64 (pow.f64 (/.f64 N (cbrt.f64 (+.f64 N -1/2))) 2) (/.f64 N (cbrt.f64 (+.f64 N -1/2))))
(*.f64 (/.f64 (pow.f64 N 3/2) (sqrt.f64 (+.f64 N -1/2))) (/.f64 (pow.f64 N 3/2) (sqrt.f64 (+.f64 N -1/2))))
(*.f64 (pow.f64 N 3/2) (*.f64 (pow.f64 N 3/2) (/.f64 1 (+.f64 N -1/2))))
(*.f64 (neg.f64 (pow.f64 N 3)) (/.f64 1 (+.f64 1/2 (neg.f64 N))))
(*.f64 (/.f64 1 (+.f64 N -1/2)) (pow.f64 N 3))
(*.f64 (/.f64 N 1) (/.f64 (pow.f64 N 2) (+.f64 N -1/2)))
(*.f64 (/.f64 N (pow.f64 (cbrt.f64 (+.f64 N -1/2)) 2)) (/.f64 (pow.f64 N 2) (cbrt.f64 (+.f64 N -1/2))))
(*.f64 (/.f64 N (sqrt.f64 (+.f64 N -1/2))) (/.f64 (pow.f64 N 2) (sqrt.f64 (+.f64 N -1/2))))
(*.f64 (/.f64 (pow.f64 N 2) (sqrt.f64 (+.f64 N -1/2))) (/.f64 N (sqrt.f64 (+.f64 N -1/2))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 N -1/2)) 2)) (/.f64 (pow.f64 N 3) (cbrt.f64 (+.f64 N -1/2))))
(*.f64 (/.f64 1 (sqrt.f64 (+.f64 N -1/2))) (/.f64 (pow.f64 N 3) (sqrt.f64 (+.f64 N -1/2))))
(*.f64 (/.f64 (pow.f64 N 2) 1) (/.f64 N (+.f64 N -1/2)))
(*.f64 (/.f64 (pow.f64 N 2) (pow.f64 (cbrt.f64 (+.f64 N -1/2)) 2)) (/.f64 N (cbrt.f64 (+.f64 N -1/2))))
(*.f64 (/.f64 (pow.f64 N 3/2) 1) (/.f64 (pow.f64 N 3/2) (+.f64 N -1/2)))
(*.f64 (/.f64 (pow.f64 N 3/2) (pow.f64 (cbrt.f64 (+.f64 N -1/2)) 2)) (/.f64 (pow.f64 N 3/2) (cbrt.f64 (+.f64 N -1/2))))
(*.f64 (/.f64 (pow.f64 N 3) (+.f64 (pow.f64 N 3) -1/8)) (fma.f64 N N (-.f64 1/4 (*.f64 N -1/2))))
(*.f64 (/.f64 (pow.f64 N 3) (fma.f64 N N -1/4)) (+.f64 N 1/2))
(pow.f64 (/.f64 (pow.f64 N 3) (+.f64 N -1/2)) 1)
(pow.f64 (/.f64 N (cbrt.f64 (+.f64 N -1/2))) 3)
(pow.f64 (pow.f64 (/.f64 (pow.f64 N 3) (+.f64 N -1/2)) 3) 1/3)
(pow.f64 (/.f64 (pow.f64 N 3/2) (sqrt.f64 (+.f64 N -1/2))) 2)
(pow.f64 (/.f64 (+.f64 N -1/2) (pow.f64 N 3)) -1)
(neg.f64 (/.f64 (pow.f64 N 3) (+.f64 1/2 (neg.f64 N))))
(sqrt.f64 (/.f64 (pow.f64 N 6) (pow.f64 (+.f64 N -1/2) 2)))
(log.f64 (exp.f64 (/.f64 (pow.f64 N 3) (+.f64 N -1/2))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (pow.f64 N 3) (+.f64 N -1/2)))))
(cbrt.f64 (pow.f64 (/.f64 (pow.f64 N 3) (+.f64 N -1/2)) 3))
(cbrt.f64 (/.f64 (pow.f64 (pow.f64 N 3) 3) (pow.f64 (+.f64 N -1/2) 3)))
(expm1.f64 (log1p.f64 (/.f64 (pow.f64 N 3) (+.f64 N -1/2))))
(exp.f64 (log.f64 (/.f64 (pow.f64 N 3) (+.f64 N -1/2))))
(exp.f64 (*.f64 (log.f64 (/.f64 (pow.f64 N 3) (+.f64 N -1/2))) 1))
(log1p.f64 (expm1.f64 (/.f64 (pow.f64 N 3) (+.f64 N -1/2))))

simplify143.0ms (2.2%)

Algorithm
1×egg-herbie
Rules
844×log-prod
838×fma-neg
598×fma-def
584×associate-*r*
576×associate-*l*
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
072311929
1180110988
2658910988
Stop Event
1×node limit
Counts
355 → 444
Calls
Call 1
Inputs
(log.f64 N)
(+.f64 (log.f64 N) (*.f64 -1 N))
(+.f64 (log.f64 N) (+.f64 (*.f64 -1 N) (*.f64 1/2 (pow.f64 N 2))))
(+.f64 (log.f64 N) (+.f64 (*.f64 -1 N) (+.f64 (*.f64 -1/3 (pow.f64 N 3)) (*.f64 1/2 (pow.f64 N 2)))))
(/.f64 -1 N)
(-.f64 (*.f64 1/2 (/.f64 1 (pow.f64 N 2))) (/.f64 1 N))
(-.f64 (*.f64 1/2 (/.f64 1 (pow.f64 N 2))) (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 N 3))) (/.f64 1 N)))
(-.f64 (+.f64 (*.f64 1/4 (/.f64 1 (pow.f64 N 4))) (*.f64 1/2 (/.f64 1 (pow.f64 N 2)))) (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 N 3))) (/.f64 1 N)))
(/.f64 -1 N)
(-.f64 (*.f64 1/2 (/.f64 1 (pow.f64 N 2))) (/.f64 1 N))
(-.f64 (*.f64 1/2 (/.f64 1 (pow.f64 N 2))) (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 N 3))) (/.f64 1 N)))
(-.f64 (+.f64 (*.f64 1/4 (/.f64 1 (pow.f64 N 4))) (*.f64 1/2 (/.f64 1 (pow.f64 N 2)))) (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 N 3))) (/.f64 1 N)))
N
(+.f64 N (*.f64 -1 (pow.f64 N 2)))
(+.f64 N (+.f64 (*.f64 -1 (pow.f64 N 2)) (pow.f64 N 3)))
(+.f64 N (+.f64 (*.f64 -1 (pow.f64 N 2)) (+.f64 (*.f64 -1 (pow.f64 N 4)) (pow.f64 N 3))))
1
(-.f64 1 (/.f64 1 N))
(-.f64 (+.f64 1 (/.f64 1 (pow.f64 N 2))) (/.f64 1 N))
(-.f64 (+.f64 1 (/.f64 1 (pow.f64 N 2))) (+.f64 (/.f64 1 N) (/.f64 1 (pow.f64 N 3))))
1
(-.f64 1 (/.f64 1 N))
(-.f64 (+.f64 1 (/.f64 1 (pow.f64 N 2))) (/.f64 1 N))
(-.f64 (+.f64 1 (/.f64 1 (pow.f64 N 2))) (+.f64 (/.f64 1 N) (/.f64 1 (pow.f64 N 3))))
(/.f64 1/2 N)
(-.f64 (*.f64 1/2 (/.f64 1 N)) (*.f64 1/4 (/.f64 1 (pow.f64 N 2))))
(-.f64 (+.f64 (*.f64 1/6 (/.f64 1 (pow.f64 N 3))) (*.f64 1/2 (/.f64 1 N))) (*.f64 1/4 (/.f64 1 (pow.f64 N 2))))
(-.f64 (+.f64 (*.f64 1/6 (/.f64 1 (pow.f64 N 3))) (*.f64 1/2 (/.f64 1 N))) (+.f64 (*.f64 1/8 (/.f64 1 (pow.f64 N 4))) (*.f64 1/4 (/.f64 1 (pow.f64 N 2)))))
(log.f64 (pow.f64 (sqrt.f64 -1) 2))
(-.f64 (log.f64 (pow.f64 (sqrt.f64 -1) 2)) (*.f64 1/2 (/.f64 1 (*.f64 N (pow.f64 (sqrt.f64 -1) 2)))))
(-.f64 (log.f64 (pow.f64 (sqrt.f64 -1) 2)) (+.f64 (*.f64 1/4 (/.f64 1 (*.f64 (pow.f64 N 2) (pow.f64 (sqrt.f64 -1) 4)))) (*.f64 1/2 (/.f64 1 (*.f64 N (pow.f64 (sqrt.f64 -1) 2))))))
(-.f64 (log.f64 (pow.f64 (sqrt.f64 -1) 2)) (+.f64 (*.f64 1/6 (/.f64 1 (*.f64 (pow.f64 N 3) (pow.f64 (sqrt.f64 -1) 6)))) (+.f64 (*.f64 1/4 (/.f64 1 (*.f64 (pow.f64 N 2) (pow.f64 (sqrt.f64 -1) 4)))) (*.f64 1/2 (/.f64 1 (*.f64 N (pow.f64 (sqrt.f64 -1) 2)))))))
1
(+.f64 1 (*.f64 1/2 (/.f64 1 N)))
(-.f64 (+.f64 1 (*.f64 1/2 (/.f64 1 N))) (*.f64 1/8 (/.f64 1 (pow.f64 N 2))))
(-.f64 (+.f64 1 (+.f64 (*.f64 1/16 (/.f64 1 (pow.f64 N 3))) (*.f64 1/2 (/.f64 1 N)))) (*.f64 1/8 (/.f64 1 (pow.f64 N 2))))
(pow.f64 (sqrt.f64 -1) 2)
(-.f64 (pow.f64 (sqrt.f64 -1) 2) (*.f64 1/2 (/.f64 1 N)))
(-.f64 (pow.f64 (sqrt.f64 -1) 2) (+.f64 (*.f64 1/8 (/.f64 1 (*.f64 (pow.f64 N 2) (pow.f64 (sqrt.f64 -1) 2)))) (*.f64 1/2 (/.f64 1 N))))
(-.f64 (pow.f64 (sqrt.f64 -1) 2) (+.f64 (*.f64 1/16 (/.f64 1 (*.f64 (pow.f64 N 3) (pow.f64 (sqrt.f64 -1) 4)))) (+.f64 (*.f64 1/8 (/.f64 1 (*.f64 (pow.f64 N 2) (pow.f64 (sqrt.f64 -1) 2)))) (*.f64 1/2 (/.f64 1 N)))))
(*.f64 -1 (log.f64 N))
(+.f64 N (*.f64 -1 (log.f64 N)))
(+.f64 N (*.f64 -1 (log.f64 N)))
(+.f64 N (*.f64 -1 (log.f64 N)))
N
(+.f64 N (log.f64 (/.f64 1 N)))
(+.f64 N (log.f64 (/.f64 1 N)))
(+.f64 N (log.f64 (/.f64 1 N)))
N
(+.f64 N (*.f64 -1 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 N))))))
(+.f64 N (*.f64 -1 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 N))))))
(+.f64 N (*.f64 -1 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 N))))))
(/.f64 -1/2 (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 -2 (pow.f64 N 3))
(+.f64 (*.f64 -4 (pow.f64 N 4)) (*.f64 -2 (pow.f64 N 3)))
(+.f64 (*.f64 -8 (pow.f64 N 5)) (+.f64 (*.f64 -4 (pow.f64 N 4)) (*.f64 -2 (pow.f64 N 3))))
(+.f64 (*.f64 -16 (pow.f64 N 6)) (+.f64 (*.f64 -8 (pow.f64 N 5)) (+.f64 (*.f64 -4 (pow.f64 N 4)) (*.f64 -2 (pow.f64 N 3)))))
(pow.f64 N 2)
(+.f64 (*.f64 1/2 N) (pow.f64 N 2))
(+.f64 1/4 (+.f64 (*.f64 1/2 N) (pow.f64 N 2)))
(+.f64 1/4 (+.f64 (*.f64 1/8 (/.f64 1 N)) (+.f64 (*.f64 1/2 N) (pow.f64 N 2))))
(pow.f64 N 2)
(+.f64 (*.f64 1/2 N) (pow.f64 N 2))
(+.f64 1/4 (+.f64 (*.f64 1/2 N) (pow.f64 N 2)))
(+.f64 1/4 (+.f64 (*.f64 1/8 (/.f64 1 N)) (+.f64 (*.f64 1/2 N) (pow.f64 N 2))))
(+.f64 (-.f64 (log.f64 N) (log1p.f64 N)) (fma.f64 (neg.f64 (sqrt.f64 (log1p.f64 N))) (sqrt.f64 (log1p.f64 N)) (log1p.f64 N)))
(+.f64 (log.f64 N) (neg.f64 (log1p.f64 N)))
(+.f64 (log.f64 N) (log.f64 (/.f64 1 (+.f64 N 1))))
(+.f64 0 (-.f64 (log.f64 N) (log1p.f64 N)))
(+.f64 (log.f64 (cbrt.f64 (pow.f64 (/.f64 N (+.f64 N 1)) 2))) (log.f64 (cbrt.f64 (/.f64 N (+.f64 N 1)))))
(+.f64 (log.f64 (sqrt.f64 (/.f64 N (+.f64 N 1)))) (log.f64 (sqrt.f64 (/.f64 N (+.f64 N 1)))))
(+.f64 (fma.f64 1 (log.f64 N) (neg.f64 (*.f64 (log1p.f64 N) 1))) (fma.f64 (neg.f64 (log1p.f64 N)) 1 (*.f64 (log1p.f64 N) 1)))
(+.f64 (fma.f64 1 (log.f64 N) (neg.f64 (*.f64 (cbrt.f64 (log1p.f64 N)) (*.f64 (cbrt.f64 (log1p.f64 N)) (cbrt.f64 (log1p.f64 N)))))) (fma.f64 (neg.f64 (cbrt.f64 (log1p.f64 N))) (*.f64 (cbrt.f64 (log1p.f64 N)) (cbrt.f64 (log1p.f64 N))) (*.f64 (cbrt.f64 (log1p.f64 N)) (*.f64 (cbrt.f64 (log1p.f64 N)) (cbrt.f64 (log1p.f64 N))))))
(+.f64 (fma.f64 (log.f64 N) 1 (neg.f64 (*.f64 (log1p.f64 N) 1))) (fma.f64 (neg.f64 (log1p.f64 N)) 1 (*.f64 (log1p.f64 N) 1)))
(+.f64 (fma.f64 (log.f64 N) 1 (neg.f64 (*.f64 (cbrt.f64 (log1p.f64 N)) (*.f64 (cbrt.f64 (log1p.f64 N)) (cbrt.f64 (log1p.f64 N)))))) (fma.f64 (neg.f64 (cbrt.f64 (log1p.f64 N))) (*.f64 (cbrt.f64 (log1p.f64 N)) (cbrt.f64 (log1p.f64 N))) (*.f64 (cbrt.f64 (log1p.f64 N)) (*.f64 (cbrt.f64 (log1p.f64 N)) (cbrt.f64 (log1p.f64 N))))))
(+.f64 (fma.f64 (log.f64 N) 1 (neg.f64 (log1p.f64 N))) (fma.f64 (neg.f64 (sqrt.f64 (log1p.f64 N))) (sqrt.f64 (log1p.f64 N)) (log1p.f64 N)))
(+.f64 (fma.f64 (cbrt.f64 (log.f64 N)) (pow.f64 (cbrt.f64 (log.f64 N)) 2) (neg.f64 (*.f64 (log1p.f64 N) 1))) (fma.f64 (neg.f64 (log1p.f64 N)) 1 (*.f64 (log1p.f64 N) 1)))
(+.f64 (fma.f64 (cbrt.f64 (log.f64 N)) (pow.f64 (cbrt.f64 (log.f64 N)) 2) (neg.f64 (*.f64 (cbrt.f64 (log1p.f64 N)) (*.f64 (cbrt.f64 (log1p.f64 N)) (cbrt.f64 (log1p.f64 N)))))) (fma.f64 (neg.f64 (cbrt.f64 (log1p.f64 N))) (*.f64 (cbrt.f64 (log1p.f64 N)) (cbrt.f64 (log1p.f64 N))) (*.f64 (cbrt.f64 (log1p.f64 N)) (*.f64 (cbrt.f64 (log1p.f64 N)) (cbrt.f64 (log1p.f64 N))))))
(+.f64 (fma.f64 (cbrt.f64 (log.f64 N)) (pow.f64 (cbrt.f64 (log.f64 N)) 2) (neg.f64 (log1p.f64 N))) (fma.f64 (neg.f64 (sqrt.f64 (log1p.f64 N))) (sqrt.f64 (log1p.f64 N)) (log1p.f64 N)))
(+.f64 (fma.f64 (pow.f64 (cbrt.f64 (log.f64 N)) 2) (cbrt.f64 (log.f64 N)) (neg.f64 (*.f64 (log1p.f64 N) 1))) (fma.f64 (neg.f64 (log1p.f64 N)) 1 (*.f64 (log1p.f64 N) 1)))
(+.f64 (fma.f64 (pow.f64 (cbrt.f64 (log.f64 N)) 2) (cbrt.f64 (log.f64 N)) (neg.f64 (*.f64 (cbrt.f64 (log1p.f64 N)) (*.f64 (cbrt.f64 (log1p.f64 N)) (cbrt.f64 (log1p.f64 N)))))) (fma.f64 (neg.f64 (cbrt.f64 (log1p.f64 N))) (*.f64 (cbrt.f64 (log1p.f64 N)) (cbrt.f64 (log1p.f64 N))) (*.f64 (cbrt.f64 (log1p.f64 N)) (*.f64 (cbrt.f64 (log1p.f64 N)) (cbrt.f64 (log1p.f64 N))))))
(+.f64 (fma.f64 (sqrt.f64 (log.f64 N)) (sqrt.f64 (log.f64 N)) (neg.f64 (*.f64 (log1p.f64 N) 1))) (fma.f64 (neg.f64 (log1p.f64 N)) 1 (*.f64 (log1p.f64 N) 1)))
(+.f64 (fma.f64 (sqrt.f64 (log.f64 N)) (sqrt.f64 (log.f64 N)) (neg.f64 (*.f64 (cbrt.f64 (log1p.f64 N)) (*.f64 (cbrt.f64 (log1p.f64 N)) (cbrt.f64 (log1p.f64 N)))))) (fma.f64 (neg.f64 (cbrt.f64 (log1p.f64 N))) (*.f64 (cbrt.f64 (log1p.f64 N)) (cbrt.f64 (log1p.f64 N))) (*.f64 (cbrt.f64 (log1p.f64 N)) (*.f64 (cbrt.f64 (log1p.f64 N)) (cbrt.f64 (log1p.f64 N))))))
(-.f64 (log.f64 N) (log1p.f64 N))
(-.f64 0 (-.f64 (log1p.f64 N) (log.f64 N)))
(-.f64 (exp.f64 (log1p.f64 (-.f64 (log.f64 N) (log1p.f64 N)))) 1)
(-.f64 (log.f64 (neg.f64 N)) (log.f64 (+.f64 (neg.f64 N) -1)))
(*.f64 1 (-.f64 (log.f64 N) (log1p.f64 N)))
(*.f64 (-.f64 (log.f64 N) (log1p.f64 N)) 1)
(*.f64 (cbrt.f64 (-.f64 (log.f64 N) (log1p.f64 N))) (pow.f64 (cbrt.f64 (-.f64 (log.f64 N) (log1p.f64 N))) 2))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 (log.f64 N) (log1p.f64 N))) 2) (cbrt.f64 (-.f64 (log.f64 N) (log1p.f64 N))))
(*.f64 (sqrt.f64 (-.f64 (log.f64 N) (log1p.f64 N))) (sqrt.f64 (-.f64 (log.f64 N) (log1p.f64 N))))
(/.f64 (-.f64 (pow.f64 (log.f64 N) 3) (pow.f64 (log1p.f64 N) 3)) (+.f64 (pow.f64 (log.f64 N) 2) (+.f64 (*.f64 (log1p.f64 N) (log1p.f64 N)) (*.f64 (log.f64 N) (log1p.f64 N)))))
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(*.f64 (/.f64 (+.f64 N -1/2) (pow.f64 N 3)) N)
(*.f64 (pow.f64 N -2) (+.f64 N -1/2))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 N) 2) 1) (/.f64 (cbrt.f64 N) (/.f64 (pow.f64 N 3) (+.f64 N -1/2))))
(*.f64 (/.f64 (sqrt.f64 N) 1) (/.f64 (sqrt.f64 N) (/.f64 (pow.f64 N 3) (+.f64 N -1/2))))
(*.f64 (/.f64 (sqrt.f64 N) (pow.f64 N 3)) (/.f64 (sqrt.f64 N) (/.f64 1 (+.f64 N -1/2))))
(*.f64 (/.f64 1 (pow.f64 N 3)) (/.f64 N (/.f64 1 (+.f64 N -1/2))))
(*.f64 (/.f64 1 (pow.f64 (/.f64 N (cbrt.f64 (+.f64 N -1/2))) 2)) (/.f64 N (/.f64 N (cbrt.f64 (+.f64 N -1/2)))))
(*.f64 (/.f64 1 (/.f64 (pow.f64 N 3/2) (sqrt.f64 (+.f64 N -1/2)))) (/.f64 N (/.f64 (pow.f64 N 3/2) (sqrt.f64 (+.f64 N -1/2)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 N) 2) (pow.f64 N 3)) (/.f64 (cbrt.f64 N) (/.f64 1 (+.f64 N -1/2))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 N) 2) (pow.f64 (/.f64 N (cbrt.f64 (+.f64 N -1/2))) 2)) (cbrt.f64 (*.f64 (+.f64 N -1/2) (pow.f64 N -2))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 N) 2) (/.f64 (pow.f64 N 3/2) (sqrt.f64 (+.f64 N -1/2)))) (/.f64 (cbrt.f64 N) (/.f64 (pow.f64 N 3/2) (sqrt.f64 (+.f64 N -1/2)))))
(*.f64 (/.f64 (sqrt.f64 N) (pow.f64 (/.f64 N (cbrt.f64 (+.f64 N -1/2))) 2)) (/.f64 (sqrt.f64 N) (/.f64 N (cbrt.f64 (+.f64 N -1/2)))))
(*.f64 (/.f64 N 1) (/.f64 (+.f64 N -1/2) (pow.f64 N 3)))
(*.f64 (*.f64 (pow.f64 N -2) 1) (+.f64 N -1/2))
(*.f64 (*.f64 (pow.f64 N -2) (pow.f64 (cbrt.f64 (+.f64 N -1/2)) 2)) (cbrt.f64 (+.f64 N -1/2)))
(*.f64 (*.f64 (pow.f64 N -2) (sqrt.f64 (+.f64 N -1/2))) (sqrt.f64 (+.f64 N -1/2)))
(*.f64 (/.f64 N (neg.f64 (pow.f64 N 3))) (+.f64 1/2 (neg.f64 N)))
(pow.f64 (*.f64 (+.f64 N -1/2) (pow.f64 N -2)) 1)
(pow.f64 (cbrt.f64 (*.f64 (+.f64 N -1/2) (pow.f64 N -2))) 3)
(pow.f64 (pow.f64 (*.f64 (+.f64 N -1/2) (pow.f64 N -2)) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 (+.f64 N -1/2) (pow.f64 N -2))) 2)
(pow.f64 (/.f64 1 (*.f64 (+.f64 N -1/2) (pow.f64 N -2))) -1)
(neg.f64 (/.f64 N (/.f64 (neg.f64 (pow.f64 N 3)) (+.f64 N -1/2))))
(sqrt.f64 (pow.f64 (*.f64 (+.f64 N -1/2) (pow.f64 N -2)) 2))
(log.f64 (pow.f64 (exp.f64 (pow.f64 N -2)) (+.f64 N -1/2)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (+.f64 N -1/2) (pow.f64 N -2)))))
(cbrt.f64 (pow.f64 (*.f64 (+.f64 N -1/2) (pow.f64 N -2)) 3))
(cbrt.f64 (/.f64 (pow.f64 N 3) (pow.f64 (/.f64 (pow.f64 N 3) (+.f64 N -1/2)) 3)))
(expm1.f64 (log1p.f64 (*.f64 (+.f64 N -1/2) (pow.f64 N -2))))
(exp.f64 (log.f64 (*.f64 (+.f64 N -1/2) (pow.f64 N -2))))
(exp.f64 (*.f64 (log.f64 (*.f64 (+.f64 N -1/2) (pow.f64 N -2))) 1))
(log1p.f64 (expm1.f64 (*.f64 (+.f64 N -1/2) (pow.f64 N -2))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (pow.f64 N 3) (+.f64 N -1/2)))) 1)
(*.f64 N (*.f64 (pow.f64 N 2) (/.f64 1 (+.f64 N -1/2))))
(*.f64 1 (/.f64 (pow.f64 N 3) (+.f64 N -1/2)))
(*.f64 (pow.f64 N 3) (/.f64 1 (+.f64 N -1/2)))
(*.f64 (/.f64 (pow.f64 N 3) (+.f64 N -1/2)) 1)
(*.f64 (pow.f64 N 2) (*.f64 N (/.f64 1 (+.f64 N -1/2))))
(*.f64 (/.f64 N (cbrt.f64 (+.f64 N -1/2))) (pow.f64 (/.f64 N (cbrt.f64 (+.f64 N -1/2))) 2))
(*.f64 (pow.f64 (/.f64 N (cbrt.f64 (+.f64 N -1/2))) 2) (/.f64 N (cbrt.f64 (+.f64 N -1/2))))
(*.f64 (/.f64 (pow.f64 N 3/2) (sqrt.f64 (+.f64 N -1/2))) (/.f64 (pow.f64 N 3/2) (sqrt.f64 (+.f64 N -1/2))))
(*.f64 (pow.f64 N 3/2) (*.f64 (pow.f64 N 3/2) (/.f64 1 (+.f64 N -1/2))))
(*.f64 (neg.f64 (pow.f64 N 3)) (/.f64 1 (+.f64 1/2 (neg.f64 N))))
(*.f64 (/.f64 1 (+.f64 N -1/2)) (pow.f64 N 3))
(*.f64 (/.f64 N 1) (/.f64 (pow.f64 N 2) (+.f64 N -1/2)))
(*.f64 (/.f64 N (pow.f64 (cbrt.f64 (+.f64 N -1/2)) 2)) (/.f64 (pow.f64 N 2) (cbrt.f64 (+.f64 N -1/2))))
(*.f64 (/.f64 N (sqrt.f64 (+.f64 N -1/2))) (/.f64 (pow.f64 N 2) (sqrt.f64 (+.f64 N -1/2))))
(*.f64 (/.f64 (pow.f64 N 2) (sqrt.f64 (+.f64 N -1/2))) (/.f64 N (sqrt.f64 (+.f64 N -1/2))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 N -1/2)) 2)) (/.f64 (pow.f64 N 3) (cbrt.f64 (+.f64 N -1/2))))
(*.f64 (/.f64 1 (sqrt.f64 (+.f64 N -1/2))) (/.f64 (pow.f64 N 3) (sqrt.f64 (+.f64 N -1/2))))
(*.f64 (/.f64 (pow.f64 N 2) 1) (/.f64 N (+.f64 N -1/2)))
(*.f64 (/.f64 (pow.f64 N 2) (pow.f64 (cbrt.f64 (+.f64 N -1/2)) 2)) (/.f64 N (cbrt.f64 (+.f64 N -1/2))))
(*.f64 (/.f64 (pow.f64 N 3/2) 1) (/.f64 (pow.f64 N 3/2) (+.f64 N -1/2)))
(*.f64 (/.f64 (pow.f64 N 3/2) (pow.f64 (cbrt.f64 (+.f64 N -1/2)) 2)) (/.f64 (pow.f64 N 3/2) (cbrt.f64 (+.f64 N -1/2))))
(*.f64 (/.f64 (pow.f64 N 3) (+.f64 (pow.f64 N 3) -1/8)) (fma.f64 N N (-.f64 1/4 (*.f64 N -1/2))))
(*.f64 (/.f64 (pow.f64 N 3) (fma.f64 N N -1/4)) (+.f64 N 1/2))
(pow.f64 (/.f64 (pow.f64 N 3) (+.f64 N -1/2)) 1)
(pow.f64 (/.f64 N (cbrt.f64 (+.f64 N -1/2))) 3)
(pow.f64 (pow.f64 (/.f64 (pow.f64 N 3) (+.f64 N -1/2)) 3) 1/3)
(pow.f64 (/.f64 (pow.f64 N 3/2) (sqrt.f64 (+.f64 N -1/2))) 2)
(pow.f64 (/.f64 (+.f64 N -1/2) (pow.f64 N 3)) -1)
(neg.f64 (/.f64 (pow.f64 N 3) (+.f64 1/2 (neg.f64 N))))
(sqrt.f64 (/.f64 (pow.f64 N 6) (pow.f64 (+.f64 N -1/2) 2)))
(log.f64 (exp.f64 (/.f64 (pow.f64 N 3) (+.f64 N -1/2))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (pow.f64 N 3) (+.f64 N -1/2)))))
(cbrt.f64 (pow.f64 (/.f64 (pow.f64 N 3) (+.f64 N -1/2)) 3))
(cbrt.f64 (/.f64 (pow.f64 (pow.f64 N 3) 3) (pow.f64 (+.f64 N -1/2) 3)))
(expm1.f64 (log1p.f64 (/.f64 (pow.f64 N 3) (+.f64 N -1/2))))
(exp.f64 (log.f64 (/.f64 (pow.f64 N 3) (+.f64 N -1/2))))
(exp.f64 (*.f64 (log.f64 (/.f64 (pow.f64 N 3) (+.f64 N -1/2))) 1))
(log1p.f64 (expm1.f64 (/.f64 (pow.f64 N 3) (+.f64 N -1/2))))
Outputs
(log.f64 N)
(+.f64 (log.f64 N) (*.f64 -1 N))
(+.f64 (log.f64 N) (neg.f64 N))
(-.f64 (log.f64 N) N)
(+.f64 (log.f64 N) (+.f64 (*.f64 -1 N) (*.f64 1/2 (pow.f64 N 2))))
(+.f64 (log.f64 N) (fma.f64 -1 N (*.f64 1/2 (pow.f64 N 2))))
(+.f64 (log.f64 N) (fma.f64 1/2 (pow.f64 N 2) (neg.f64 N)))
(+.f64 (log.f64 N) (+.f64 (*.f64 -1 N) (+.f64 (*.f64 -1/3 (pow.f64 N 3)) (*.f64 1/2 (pow.f64 N 2)))))
(+.f64 (log.f64 N) (fma.f64 -1 N (fma.f64 -1/3 (pow.f64 N 3) (*.f64 1/2 (pow.f64 N 2)))))
(+.f64 (fma.f64 1/2 (pow.f64 N 2) (*.f64 -1/3 (pow.f64 N 3))) (-.f64 (log.f64 N) N))
(/.f64 -1 N)
(-.f64 (*.f64 1/2 (/.f64 1 (pow.f64 N 2))) (/.f64 1 N))
(-.f64 (/.f64 1/2 (pow.f64 N 2)) (/.f64 1 N))
(+.f64 (/.f64 1/2 (pow.f64 N 2)) (/.f64 -1 N))
(-.f64 (*.f64 1/2 (/.f64 1 (pow.f64 N 2))) (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 N 3))) (/.f64 1 N)))
(-.f64 (/.f64 1/2 (pow.f64 N 2)) (+.f64 (/.f64 1 N) (/.f64 1/3 (pow.f64 N 3))))
(-.f64 (+.f64 (/.f64 1/2 (pow.f64 N 2)) (/.f64 -1 N)) (/.f64 1/3 (pow.f64 N 3)))
(-.f64 (+.f64 (*.f64 1/4 (/.f64 1 (pow.f64 N 4))) (*.f64 1/2 (/.f64 1 (pow.f64 N 2)))) (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 N 3))) (/.f64 1 N)))
(+.f64 (/.f64 1/4 (pow.f64 N 4)) (-.f64 (/.f64 1/2 (pow.f64 N 2)) (+.f64 (/.f64 1 N) (/.f64 1/3 (pow.f64 N 3)))))
(+.f64 (-.f64 (+.f64 (/.f64 1/2 (pow.f64 N 2)) (/.f64 -1 N)) (/.f64 1/3 (pow.f64 N 3))) (/.f64 1/4 (pow.f64 N 4)))
(/.f64 -1 N)
(-.f64 (*.f64 1/2 (/.f64 1 (pow.f64 N 2))) (/.f64 1 N))
(-.f64 (/.f64 1/2 (pow.f64 N 2)) (/.f64 1 N))
(+.f64 (/.f64 1/2 (pow.f64 N 2)) (/.f64 -1 N))
(-.f64 (*.f64 1/2 (/.f64 1 (pow.f64 N 2))) (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 N 3))) (/.f64 1 N)))
(-.f64 (/.f64 1/2 (pow.f64 N 2)) (+.f64 (/.f64 1 N) (/.f64 1/3 (pow.f64 N 3))))
(-.f64 (+.f64 (/.f64 1/2 (pow.f64 N 2)) (/.f64 -1 N)) (/.f64 1/3 (pow.f64 N 3)))
(-.f64 (+.f64 (*.f64 1/4 (/.f64 1 (pow.f64 N 4))) (*.f64 1/2 (/.f64 1 (pow.f64 N 2)))) (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 N 3))) (/.f64 1 N)))
(+.f64 (/.f64 1/4 (pow.f64 N 4)) (-.f64 (/.f64 1/2 (pow.f64 N 2)) (+.f64 (/.f64 1 N) (/.f64 1/3 (pow.f64 N 3)))))
(+.f64 (-.f64 (+.f64 (/.f64 1/2 (pow.f64 N 2)) (/.f64 -1 N)) (/.f64 1/3 (pow.f64 N 3))) (/.f64 1/4 (pow.f64 N 4)))
N
(+.f64 N (*.f64 -1 (pow.f64 N 2)))
(+.f64 N (neg.f64 (pow.f64 N 2)))
(-.f64 N (pow.f64 N 2))
(+.f64 N (+.f64 (*.f64 -1 (pow.f64 N 2)) (pow.f64 N 3)))
(+.f64 N (fma.f64 -1 (pow.f64 N 2) (pow.f64 N 3)))
(+.f64 N (-.f64 (pow.f64 N 3) (pow.f64 N 2)))
(+.f64 N (+.f64 (*.f64 -1 (pow.f64 N 2)) (+.f64 (*.f64 -1 (pow.f64 N 4)) (pow.f64 N 3))))
(+.f64 N (fma.f64 -1 (pow.f64 N 2) (fma.f64 -1 (pow.f64 N 4) (pow.f64 N 3))))
(+.f64 N (-.f64 (-.f64 (pow.f64 N 3) (pow.f64 N 4)) (pow.f64 N 2)))
1
(-.f64 1 (/.f64 1 N))
(+.f64 1 (/.f64 -1 N))
(-.f64 (+.f64 1 (/.f64 1 (pow.f64 N 2))) (/.f64 1 N))
(+.f64 (/.f64 1 (pow.f64 N 2)) (+.f64 1 (/.f64 -1 N)))
(-.f64 (+.f64 1 (/.f64 1 (pow.f64 N 2))) (+.f64 (/.f64 1 N) (/.f64 1 (pow.f64 N 3))))
(-.f64 (+.f64 (/.f64 1 (pow.f64 N 2)) (+.f64 1 (/.f64 -1 N))) (/.f64 1 (pow.f64 N 3)))
1
(-.f64 1 (/.f64 1 N))
(+.f64 1 (/.f64 -1 N))
(-.f64 (+.f64 1 (/.f64 1 (pow.f64 N 2))) (/.f64 1 N))
(+.f64 (/.f64 1 (pow.f64 N 2)) (+.f64 1 (/.f64 -1 N)))
(-.f64 (+.f64 1 (/.f64 1 (pow.f64 N 2))) (+.f64 (/.f64 1 N) (/.f64 1 (pow.f64 N 3))))
(-.f64 (+.f64 (/.f64 1 (pow.f64 N 2)) (+.f64 1 (/.f64 -1 N))) (/.f64 1 (pow.f64 N 3)))
(/.f64 1/2 N)
(-.f64 (*.f64 1/2 (/.f64 1 N)) (*.f64 1/4 (/.f64 1 (pow.f64 N 2))))
(-.f64 (/.f64 1/2 N) (/.f64 1/4 (pow.f64 N 2)))
(+.f64 (/.f64 1/2 N) (/.f64 -1/4 (pow.f64 N 2)))
(-.f64 (+.f64 (*.f64 1/6 (/.f64 1 (pow.f64 N 3))) (*.f64 1/2 (/.f64 1 N))) (*.f64 1/4 (/.f64 1 (pow.f64 N 2))))
(+.f64 (/.f64 1/6 (pow.f64 N 3)) (-.f64 (/.f64 1/2 N) (/.f64 1/4 (pow.f64 N 2))))
(+.f64 (/.f64 1/2 N) (+.f64 (/.f64 1/6 (pow.f64 N 3)) (/.f64 -1/4 (pow.f64 N 2))))
(-.f64 (+.f64 (*.f64 1/6 (/.f64 1 (pow.f64 N 3))) (*.f64 1/2 (/.f64 1 N))) (+.f64 (*.f64 1/8 (/.f64 1 (pow.f64 N 4))) (*.f64 1/4 (/.f64 1 (pow.f64 N 2)))))
(+.f64 (/.f64 1/6 (pow.f64 N 3)) (-.f64 (/.f64 1/2 N) (+.f64 (/.f64 1/4 (pow.f64 N 2)) (/.f64 1/8 (pow.f64 N 4)))))
(+.f64 (-.f64 (+.f64 (/.f64 1/2 N) (/.f64 1/6 (pow.f64 N 3))) (/.f64 1/8 (pow.f64 N 4))) (/.f64 -1/4 (pow.f64 N 2)))
(log.f64 (pow.f64 (sqrt.f64 -1) 2))
(*.f64 2 (log.f64 (sqrt.f64 -1)))
(log.f64 -1)
(-.f64 (log.f64 (pow.f64 (sqrt.f64 -1) 2)) (*.f64 1/2 (/.f64 1 (*.f64 N (pow.f64 (sqrt.f64 -1) 2)))))
(-.f64 (*.f64 2 (log.f64 (sqrt.f64 -1))) (/.f64 1/2 (*.f64 N (pow.f64 (sqrt.f64 -1) 2))))
(-.f64 (log.f64 -1) (/.f64 -1/2 N))
(-.f64 (log.f64 (pow.f64 (sqrt.f64 -1) 2)) (+.f64 (*.f64 1/4 (/.f64 1 (*.f64 (pow.f64 N 2) (pow.f64 (sqrt.f64 -1) 4)))) (*.f64 1/2 (/.f64 1 (*.f64 N (pow.f64 (sqrt.f64 -1) 2))))))
(-.f64 (-.f64 (*.f64 2 (log.f64 (sqrt.f64 -1))) (/.f64 1/4 (*.f64 (pow.f64 N 2) (pow.f64 (sqrt.f64 -1) 4)))) (/.f64 1/2 (*.f64 N (pow.f64 (sqrt.f64 -1) 2))))
(-.f64 (+.f64 (log.f64 -1) (/.f64 -1/4 (pow.f64 N 2))) (/.f64 -1/2 N))
(-.f64 (log.f64 (pow.f64 (sqrt.f64 -1) 2)) (+.f64 (*.f64 1/6 (/.f64 1 (*.f64 (pow.f64 N 3) (pow.f64 (sqrt.f64 -1) 6)))) (+.f64 (*.f64 1/4 (/.f64 1 (*.f64 (pow.f64 N 2) (pow.f64 (sqrt.f64 -1) 4)))) (*.f64 1/2 (/.f64 1 (*.f64 N (pow.f64 (sqrt.f64 -1) 2)))))))
(-.f64 (*.f64 2 (log.f64 (sqrt.f64 -1))) (+.f64 (+.f64 (/.f64 1/6 (*.f64 (pow.f64 N 3) (pow.f64 (sqrt.f64 -1) 6))) (/.f64 1/4 (*.f64 (pow.f64 N 2) (pow.f64 (sqrt.f64 -1) 4)))) (/.f64 1/2 (*.f64 N (pow.f64 (sqrt.f64 -1) 2)))))
(-.f64 (-.f64 (+.f64 (log.f64 -1) (/.f64 -1/4 (pow.f64 N 2))) (/.f64 -1/2 N)) (/.f64 1/6 (*.f64 (pow.f64 N 3) (pow.f64 (sqrt.f64 -1) 6))))
1
(+.f64 1 (*.f64 1/2 (/.f64 1 N)))
(+.f64 1 (/.f64 1/2 N))
(-.f64 (+.f64 1 (*.f64 1/2 (/.f64 1 N))) (*.f64 1/8 (/.f64 1 (pow.f64 N 2))))
(+.f64 1 (-.f64 (/.f64 1/2 N) (/.f64 1/8 (pow.f64 N 2))))
(+.f64 1 (+.f64 (/.f64 1/2 N) (/.f64 -1/8 (pow.f64 N 2))))
(-.f64 (+.f64 1 (+.f64 (*.f64 1/16 (/.f64 1 (pow.f64 N 3))) (*.f64 1/2 (/.f64 1 N)))) (*.f64 1/8 (/.f64 1 (pow.f64 N 2))))
(+.f64 1 (-.f64 (+.f64 (/.f64 1/2 N) (/.f64 1/16 (pow.f64 N 3))) (/.f64 1/8 (pow.f64 N 2))))
(+.f64 1 (+.f64 (/.f64 1/16 (pow.f64 N 3)) (+.f64 (/.f64 1/2 N) (/.f64 -1/8 (pow.f64 N 2)))))
(pow.f64 (sqrt.f64 -1) 2)
-1
(-.f64 (pow.f64 (sqrt.f64 -1) 2) (*.f64 1/2 (/.f64 1 N)))
(-.f64 (pow.f64 (sqrt.f64 -1) 2) (/.f64 1/2 N))
(+.f64 -1 (/.f64 -1/2 N))
(-.f64 (pow.f64 (sqrt.f64 -1) 2) (+.f64 (*.f64 1/8 (/.f64 1 (*.f64 (pow.f64 N 2) (pow.f64 (sqrt.f64 -1) 2)))) (*.f64 1/2 (/.f64 1 N))))
(-.f64 (pow.f64 (sqrt.f64 -1) 2) (+.f64 (/.f64 1/2 N) (/.f64 1/8 (*.f64 (pow.f64 N 2) (pow.f64 (sqrt.f64 -1) 2)))))
(+.f64 (-.f64 -1 (/.f64 -1/8 (pow.f64 N 2))) (/.f64 -1/2 N))
(-.f64 (pow.f64 (sqrt.f64 -1) 2) (+.f64 (*.f64 1/16 (/.f64 1 (*.f64 (pow.f64 N 3) (pow.f64 (sqrt.f64 -1) 4)))) (+.f64 (*.f64 1/8 (/.f64 1 (*.f64 (pow.f64 N 2) (pow.f64 (sqrt.f64 -1) 2)))) (*.f64 1/2 (/.f64 1 N)))))
(-.f64 (pow.f64 (sqrt.f64 -1) 2) (+.f64 (+.f64 (/.f64 1/2 N) (/.f64 1/8 (*.f64 (pow.f64 N 2) (pow.f64 (sqrt.f64 -1) 2)))) (/.f64 1/16 (*.f64 (pow.f64 N 3) (pow.f64 (sqrt.f64 -1) 4)))))
(-.f64 -1 (+.f64 (/.f64 1/16 (pow.f64 N 3)) (+.f64 (/.f64 1/2 N) (/.f64 -1/8 (pow.f64 N 2)))))
(*.f64 -1 (log.f64 N))
(neg.f64 (log.f64 N))
(+.f64 N (*.f64 -1 (log.f64 N)))
(-.f64 N (log.f64 N))
(+.f64 N (*.f64 -1 (log.f64 N)))
(-.f64 N (log.f64 N))
(+.f64 N (*.f64 -1 (log.f64 N)))
(-.f64 N (log.f64 N))
N
(+.f64 N (log.f64 (/.f64 1 N)))
(-.f64 N (log.f64 N))
(+.f64 N (log.f64 (/.f64 1 N)))
(-.f64 N (log.f64 N))
(+.f64 N (log.f64 (/.f64 1 N)))
(-.f64 N (log.f64 N))
N
(+.f64 N (*.f64 -1 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 N))))))
(+.f64 N (neg.f64 (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 N))))))
(-.f64 N (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 N))))
(+.f64 N (*.f64 -1 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 N))))))
(+.f64 N (neg.f64 (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 N))))))
(-.f64 N (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 N))))
(+.f64 N (*.f64 -1 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 N))))))
(+.f64 N (neg.f64 (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 N))))))
(-.f64 N (-.f64 (log.f64 -1) (log.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 (/.f64 1 (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 1 N)
(-.f64 (/.f64 1 N) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
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(pow.f64 (/.f64 (pow.f64 N 3/2) (sqrt.f64 (+.f64 N -1/2))) 2)
(*.f64 (/.f64 (pow.f64 N 2) (sqrt.f64 (+.f64 N -1/2))) (/.f64 N (sqrt.f64 (+.f64 N -1/2))))
(pow.f64 (/.f64 (pow.f64 N 3/2) (sqrt.f64 (+.f64 N -1/2))) 2)
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 N -1/2)) 2)) (/.f64 (pow.f64 N 3) (cbrt.f64 (+.f64 N -1/2))))
(/.f64 (pow.f64 N 3) (+.f64 N -1/2))
(*.f64 (/.f64 1 (sqrt.f64 (+.f64 N -1/2))) (/.f64 (pow.f64 N 3) (sqrt.f64 (+.f64 N -1/2))))
(pow.f64 (/.f64 (pow.f64 N 3/2) (sqrt.f64 (+.f64 N -1/2))) 2)
(*.f64 (/.f64 (pow.f64 N 2) 1) (/.f64 N (+.f64 N -1/2)))
(/.f64 (pow.f64 N 3) (+.f64 N -1/2))
(*.f64 (/.f64 (pow.f64 N 2) (pow.f64 (cbrt.f64 (+.f64 N -1/2)) 2)) (/.f64 N (cbrt.f64 (+.f64 N -1/2))))
(/.f64 (pow.f64 N 3) (+.f64 N -1/2))
(*.f64 (/.f64 (pow.f64 N 3/2) 1) (/.f64 (pow.f64 N 3/2) (+.f64 N -1/2)))
(/.f64 (pow.f64 N 3) (+.f64 N -1/2))
(*.f64 (/.f64 (pow.f64 N 3/2) (pow.f64 (cbrt.f64 (+.f64 N -1/2)) 2)) (/.f64 (pow.f64 N 3/2) (cbrt.f64 (+.f64 N -1/2))))
(/.f64 (pow.f64 N 3) (+.f64 N -1/2))
(*.f64 (/.f64 (pow.f64 N 3) (+.f64 (pow.f64 N 3) -1/8)) (fma.f64 N N (-.f64 1/4 (*.f64 N -1/2))))
(/.f64 (pow.f64 N 3) (/.f64 (+.f64 (pow.f64 N 3) -1/8) (+.f64 1/4 (*.f64 N (+.f64 N 1/2)))))
(*.f64 (/.f64 (pow.f64 N 3) (fma.f64 N N -1/4)) (+.f64 N 1/2))
(pow.f64 (/.f64 (pow.f64 N 3) (+.f64 N -1/2)) 1)
(/.f64 (pow.f64 N 3) (+.f64 N -1/2))
(pow.f64 (/.f64 N (cbrt.f64 (+.f64 N -1/2))) 3)
(/.f64 (pow.f64 N 3) (+.f64 N -1/2))
(pow.f64 (pow.f64 (/.f64 (pow.f64 N 3) (+.f64 N -1/2)) 3) 1/3)
(/.f64 (pow.f64 N 3) (+.f64 N -1/2))
(pow.f64 (/.f64 (pow.f64 N 3/2) (sqrt.f64 (+.f64 N -1/2))) 2)
(pow.f64 (/.f64 (+.f64 N -1/2) (pow.f64 N 3)) -1)
(/.f64 (pow.f64 N 3) (+.f64 N -1/2))
(neg.f64 (/.f64 (pow.f64 N 3) (+.f64 1/2 (neg.f64 N))))
(*.f64 (neg.f64 (pow.f64 N 3)) (/.f64 1 (-.f64 1/2 N)))
(/.f64 (neg.f64 (pow.f64 N 3)) (-.f64 1/2 N))
(sqrt.f64 (/.f64 (pow.f64 N 6) (pow.f64 (+.f64 N -1/2) 2)))
(sqrt.f64 (pow.f64 (/.f64 (pow.f64 N 3) (+.f64 N -1/2)) 2))
(log.f64 (exp.f64 (/.f64 (pow.f64 N 3) (+.f64 N -1/2))))
(/.f64 (pow.f64 N 3) (+.f64 N -1/2))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (pow.f64 N 3) (+.f64 N -1/2)))))
(/.f64 (pow.f64 N 3) (+.f64 N -1/2))
(cbrt.f64 (pow.f64 (/.f64 (pow.f64 N 3) (+.f64 N -1/2)) 3))
(/.f64 (pow.f64 N 3) (+.f64 N -1/2))
(cbrt.f64 (/.f64 (pow.f64 (pow.f64 N 3) 3) (pow.f64 (+.f64 N -1/2) 3)))
(/.f64 (pow.f64 N 3) (+.f64 N -1/2))
(expm1.f64 (log1p.f64 (/.f64 (pow.f64 N 3) (+.f64 N -1/2))))
(/.f64 (pow.f64 N 3) (+.f64 N -1/2))
(exp.f64 (log.f64 (/.f64 (pow.f64 N 3) (+.f64 N -1/2))))
(/.f64 (pow.f64 N 3) (+.f64 N -1/2))
(exp.f64 (*.f64 (log.f64 (/.f64 (pow.f64 N 3) (+.f64 N -1/2))) 1))
(/.f64 (pow.f64 N 3) (+.f64 N -1/2))
(log1p.f64 (expm1.f64 (/.f64 (pow.f64 N 3) (+.f64 N -1/2))))
(/.f64 (pow.f64 N 3) (+.f64 N -1/2))

eval172.0ms (2.7%)

Compiler

Compiled 6926 to 4514 computations (34.8% saved)

prune144.0ms (2.2%)

Pruning

8 alts after pruning (1 fresh and 7 done)

PrunedKeptTotal
New4961497
Fresh000
Picked224
Done055
Total4988506
Accuracy
100.0%
Counts
506 → 8
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶32.9%
(/.f64 N (*.f64 N (+.f64 N 1/2)))
✓54.3%
(/.f64 1 N)
✓52.4%
(-.f64 (/.f64 1 N) (/.f64 1/2 (pow.f64 N 2)))
✓49.3%
(-.f64 N (log.f64 N))
✓53.2%
(+.f64 (/.f64 1 N) (+.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 -1/2 (pow.f64 N 2))))
✓51.4%
(*.f64 2 (log.f64 (sqrt.f64 (/.f64 (+.f64 N 1) N))))
✓48.0%
(neg.f64 (log.f64 N))
✓51.4%
(log.f64 (/.f64 (+.f64 N 1) N))
▶32.9%
(/.f64 N (*.f64 N (+.f64 N 1/2)))
✓54.3%
(/.f64 1 N)
✓52.4%
(-.f64 (/.f64 1 N) (/.f64 1/2 (pow.f64 N 2)))
✓49.3%
(-.f64 N (log.f64 N))
✓53.2%
(+.f64 (/.f64 1 N) (+.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 -1/2 (pow.f64 N 2))))
✓51.4%
(*.f64 2 (log.f64 (sqrt.f64 (/.f64 (+.f64 N 1) N))))
✓48.0%
(neg.f64 (log.f64 N))
✓51.4%
(log.f64 (/.f64 (+.f64 N 1) N))
Compiler

Compiled 128 to 96 computations (25% saved)

localize26.0ms (0.4%)

Localize:

Found 2 expressions with local error:

NewAccuracyProgram
✓100.0%
(*.f64 N (+.f64 N 1/2))
✓74.0%
(/.f64 N (*.f64 N (+.f64 N 1/2)))
Compiler

Compiled 19 to 12 computations (36.8% saved)

series2.0ms (0%)

Counts
2 → 24
Calls

6 calls:

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

rewrite67.0ms (1%)

Algorithm
1×batch-egg-rewrite
Rules
950×unpow-prod-down
613×log1p-expm1-u
613×expm1-log1p-u
592×log-prod
505×pow1
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0947
111135
2167435
Stop Event
1×node limit
Counts
2 → 130
Calls
Call 1
Inputs
(/.f64 N (*.f64 N (+.f64 N 1/2)))
(*.f64 N (+.f64 N 1/2))
Outputs
(+.f64 0 (/.f64 1 (+.f64 N 1/2)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 1 (+.f64 N 1/2)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 1 (+.f64 N 1/2))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 1 (+.f64 N 1/2))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 1 (+.f64 N 1/2))))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 1 (+.f64 N 1/2)))) 1)
(*.f64 N (/.f64 (/.f64 1 N) (+.f64 N 1/2)))
(*.f64 (/.f64 1 (+.f64 N 1/2)) 1)
(*.f64 1 (/.f64 1 (+.f64 N 1/2)))
(*.f64 (pow.f64 (cbrt.f64 N) 2) (*.f64 (cbrt.f64 N) (/.f64 (/.f64 1 N) (+.f64 N 1/2))))
(*.f64 (/.f64 1 (cbrt.f64 (+.f64 N 1/2))) (cbrt.f64 (pow.f64 (+.f64 N 1/2) -2)))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 N 1/2) -2)) (/.f64 1 (cbrt.f64 (+.f64 N 1/2))))
(*.f64 (sqrt.f64 N) (*.f64 (sqrt.f64 N) (/.f64 (/.f64 1 N) (+.f64 N 1/2))))
(*.f64 (pow.f64 (+.f64 N 1/2) -1/2) (pow.f64 (+.f64 N 1/2) -1/2))
(*.f64 (neg.f64 N) (/.f64 1 (*.f64 (+.f64 N 1/2) (neg.f64 N))))
(*.f64 (/.f64 (/.f64 1 N) (+.f64 N 1/2)) N)
(*.f64 (/.f64 (/.f64 1 N) (+.f64 N 1/2)) (pow.f64 (/.f64 1 N) -1))
(*.f64 (/.f64 1 N) (/.f64 N (+.f64 N 1/2)))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 N (+.f64 N 1/2))) -2) (/.f64 N (cbrt.f64 (*.f64 N (+.f64 N 1/2)))))
(*.f64 (pow.f64 (*.f64 N (+.f64 N 1/2)) -1/2) (/.f64 N (hypot.f64 N (sqrt.f64 (*.f64 N 1/2)))))
(*.f64 (pow.f64 (cbrt.f64 N) -1) (/.f64 (cbrt.f64 N) (+.f64 N 1/2)))
(*.f64 (pow.f64 (cbrt.f64 N) -1) (pow.f64 (/.f64 (+.f64 N 1/2) (cbrt.f64 N)) -1))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 N) 2) (+.f64 N 1/2)) (pow.f64 (cbrt.f64 N) -2))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 N) 2) 1) (/.f64 (cbrt.f64 N) (*.f64 N (+.f64 N 1/2))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 N) 2) (pow.f64 (cbrt.f64 (*.f64 N (+.f64 N 1/2))) 2)) (/.f64 1 (cbrt.f64 (+.f64 N 1/2))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 N) 2) (hypot.f64 N (sqrt.f64 (*.f64 N 1/2)))) (/.f64 (cbrt.f64 N) (hypot.f64 N (sqrt.f64 (*.f64 N 1/2)))))
(*.f64 (pow.f64 N -1/2) (/.f64 (sqrt.f64 N) (+.f64 N 1/2)))
(*.f64 (pow.f64 N -1/2) (pow.f64 (/.f64 (+.f64 N 1/2) (sqrt.f64 N)) -1))
(*.f64 (/.f64 (sqrt.f64 N) (+.f64 N 1/2)) (pow.f64 N -1/2))
(*.f64 (/.f64 (sqrt.f64 N) 1) (/.f64 (sqrt.f64 N) (*.f64 N (+.f64 N 1/2))))
(*.f64 (/.f64 (sqrt.f64 N) (pow.f64 (cbrt.f64 (*.f64 N (+.f64 N 1/2))) 2)) (/.f64 (sqrt.f64 N) (cbrt.f64 (*.f64 N (+.f64 N 1/2)))))
(*.f64 (/.f64 1 (+.f64 (pow.f64 N 3) 1/8)) (-.f64 (fma.f64 N N 1/4) (*.f64 N 1/2)))
(*.f64 (/.f64 1 (fma.f64 N N -1/4)) (+.f64 N -1/2))
(*.f64 (pow.f64 1 1/3) (/.f64 1 (+.f64 N 1/2)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (/.f64 1 (cbrt.f64 (+.f64 N 1/2)))) 2) 3) (/.f64 1 (cbrt.f64 (+.f64 N 1/2))))
(*.f64 (pow.f64 (sqrt.f64 (/.f64 1 (cbrt.f64 (+.f64 N 1/2)))) 3) (pow.f64 (sqrt.f64 (/.f64 1 (cbrt.f64 (+.f64 N 1/2)))) 3))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (/.f64 1 (+.f64 N 1/2)) 3)) 1/3) (pow.f64 (sqrt.f64 (pow.f64 (/.f64 1 (+.f64 N 1/2)) 3)) 1/3))
(*.f64 (pow.f64 (*.f64 (pow.f64 (+.f64 N 1/2) -2) N) 1/3) (cbrt.f64 (/.f64 (/.f64 1 N) (+.f64 N 1/2))))
(*.f64 (pow.f64 (*.f64 (pow.f64 (+.f64 N 1/2) -2) (cbrt.f64 (pow.f64 (+.f64 N 1/2) -2))) 1/3) (cbrt.f64 (/.f64 1 (cbrt.f64 (+.f64 N 1/2)))))
(*.f64 (pow.f64 (pow.f64 (/.f64 1 (+.f64 N 1/2)) 5/2) 1/3) (cbrt.f64 (pow.f64 (+.f64 N 1/2) -1/2)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 N 1/2) 1)) 2) -1) (/.f64 1 (cbrt.f64 (+.f64 N 1/2))))
(*.f64 (pow.f64 (/.f64 N 1) -1) (pow.f64 (/.f64 (+.f64 N 1/2) N) -1))
(*.f64 (pow.f64 (/.f64 (+.f64 N 1/2) (sqrt.f64 N)) -1) (pow.f64 N -1/2))
(*.f64 (pow.f64 (/.f64 (+.f64 N 1/2) (pow.f64 (cbrt.f64 N) 2)) -1) (pow.f64 (cbrt.f64 N) -2))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 N) -2) -1) (pow.f64 (/.f64 (*.f64 N (+.f64 N 1/2)) (cbrt.f64 N)) -1))
(*.f64 (pow.f64 (pow.f64 N -1/2) -1) (pow.f64 (/.f64 (*.f64 N (+.f64 N 1/2)) (sqrt.f64 N)) -1))
(*.f64 (pow.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 N (+.f64 N 1/2))) 2) 1) -1) (pow.f64 (/.f64 (cbrt.f64 (*.f64 N (+.f64 N 1/2))) N) -1))
(*.f64 (pow.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 N (+.f64 N 1/2))) 2) (pow.f64 (cbrt.f64 N) 2)) -1) (pow.f64 (/.f64 (cbrt.f64 (*.f64 N (+.f64 N 1/2))) (cbrt.f64 N)) -1))
(*.f64 (pow.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 N (+.f64 N 1/2))) 2) (sqrt.f64 N)) -1) (pow.f64 (/.f64 (cbrt.f64 (*.f64 N (+.f64 N 1/2))) (sqrt.f64 N)) -1))
(*.f64 (pow.f64 (/.f64 (hypot.f64 N (sqrt.f64 (*.f64 N 1/2))) 1) -1) (pow.f64 (/.f64 (hypot.f64 N (sqrt.f64 (*.f64 N 1/2))) N) -1))
(*.f64 (pow.f64 (/.f64 (hypot.f64 N (sqrt.f64 (*.f64 N 1/2))) (pow.f64 (cbrt.f64 N) 2)) -1) (pow.f64 (/.f64 (hypot.f64 N (sqrt.f64 (*.f64 N 1/2))) (cbrt.f64 N)) -1))
(*.f64 (pow.f64 (/.f64 (hypot.f64 N (sqrt.f64 (*.f64 N 1/2))) (sqrt.f64 N)) -1) (pow.f64 (/.f64 (hypot.f64 N (sqrt.f64 (*.f64 N 1/2))) (sqrt.f64 N)) -1))
(pow.f64 (+.f64 N 1/2) -1)
(pow.f64 (/.f64 1 (+.f64 N 1/2)) 1)
(pow.f64 (cbrt.f64 (+.f64 N 1/2)) -3)
(pow.f64 (/.f64 1 (cbrt.f64 (+.f64 N 1/2))) 3)
(pow.f64 (pow.f64 (+.f64 N 1/2) 3) -1/3)
(pow.f64 (pow.f64 (+.f64 N 1/2) -2) 1/2)
(pow.f64 (pow.f64 (/.f64 1 (+.f64 N 1/2)) 3) 1/3)
(pow.f64 (sqrt.f64 (+.f64 N 1/2)) -2)
(pow.f64 (pow.f64 (+.f64 N 1/2) -1/2) 2)
(pow.f64 (/.f64 (+.f64 N 1/2) 1) -1)
(pow.f64 (/.f64 (pow.f64 N 3) (pow.f64 (*.f64 N (+.f64 N 1/2)) 3)) 1/3)
(pow.f64 (/.f64 (/.f64 (+.f64 N 1/2) 1) 1) -1)
(neg.f64 (/.f64 N (*.f64 (+.f64 N 1/2) (neg.f64 N))))
(sqrt.f64 (pow.f64 (+.f64 N 1/2) -2))
(log.f64 (exp.f64 (/.f64 1 (+.f64 N 1/2))))
(cbrt.f64 (pow.f64 (/.f64 1 (+.f64 N 1/2)) 3))
(cbrt.f64 (/.f64 (pow.f64 N 3) (pow.f64 (*.f64 N (+.f64 N 1/2)) 3)))
(expm1.f64 (log1p.f64 (/.f64 1 (+.f64 N 1/2))))
(exp.f64 (neg.f64 (log.f64 (+.f64 N 1/2))))
(exp.f64 (*.f64 (neg.f64 (log.f64 (+.f64 N 1/2))) 1))
(exp.f64 (*.f64 (*.f64 (neg.f64 (log.f64 (+.f64 N 1/2))) 1) 1))
(exp.f64 (*.f64 (neg.f64 (log.f64 (cbrt.f64 (+.f64 N 1/2)))) 3))
(exp.f64 (*.f64 (*.f64 3 (neg.f64 (log.f64 (+.f64 N 1/2)))) 1/3))
(exp.f64 (*.f64 (log.f64 (pow.f64 (+.f64 N 1/2) -1/2)) 2))
(exp.f64 (*.f64 (-.f64 (log.f64 (+.f64 N 1/2)) 0) -1))
(exp.f64 (+.f64 (*.f64 (log.f64 N) 1) (neg.f64 (log.f64 (*.f64 N (+.f64 N 1/2))))))
(exp.f64 (+.f64 (neg.f64 (log.f64 (*.f64 N (+.f64 N 1/2)))) (*.f64 (log.f64 N) 1)))
(log1p.f64 (expm1.f64 (/.f64 1 (+.f64 N 1/2))))
(+.f64 (pow.f64 N 2) (*.f64 N 1/2))
(+.f64 (pow.f64 N 2) (*.f64 (*.f64 N 1/2) 1))
(+.f64 (*.f64 N 1/2) (pow.f64 N 2))
(+.f64 0 (*.f64 N (+.f64 N 1/2)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 N) (+.f64 N 1/2))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 N) (+.f64 N 1/2)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 N) (+.f64 N 1/2)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 N) (+.f64 N 1/2)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 N (+.f64 N 1/2)))) 1)
(/.f64 (+.f64 (pow.f64 N 6) (*.f64 (pow.f64 N 3) 1/8)) (+.f64 (pow.f64 N 4) (-.f64 (pow.f64 (*.f64 N 1/2) 2) (*.f64 (pow.f64 N 2) (*.f64 N 1/2)))))
(/.f64 (-.f64 (pow.f64 N 4) (pow.f64 (*.f64 N 1/2) 2)) (-.f64 (pow.f64 N 2) (*.f64 N 1/2)))
(/.f64 (*.f64 N (+.f64 (pow.f64 N 3) 1/8)) (-.f64 (fma.f64 N N 1/4) (*.f64 N 1/2)))
(/.f64 (*.f64 N (fma.f64 N N -1/4)) (+.f64 N -1/2))
(/.f64 (*.f64 (+.f64 (pow.f64 N 3) 1/8) N) (-.f64 (fma.f64 N N 1/4) (*.f64 N 1/2)))
(/.f64 (*.f64 (fma.f64 N N -1/4) N) (+.f64 N -1/2))
(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)) 2) 1/2)
(pow.f64 (pow.f64 (*.f64 N (+.f64 N 1/2)) 3) 1/3)
(pow.f64 (hypot.f64 N (sqrt.f64 (*.f64 N 1/2))) 2)
(sqrt.f64 (pow.f64 (*.f64 N (+.f64 N 1/2)) 2))
(log.f64 (pow.f64 (exp.f64 N) (+.f64 N 1/2)))
(cbrt.f64 (pow.f64 (*.f64 N (+.f64 N 1/2)) 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))
(exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 N (+.f64 N 1/2))) 1) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 N (+.f64 N 1/2)))) 3))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (*.f64 N (+.f64 N 1/2)))) 1/3))
(exp.f64 (*.f64 (log.f64 (hypot.f64 N (sqrt.f64 (*.f64 N 1/2)))) 2))
(exp.f64 (+.f64 (log.f64 N) (*.f64 (log.f64 (+.f64 N 1/2)) 1)))
(exp.f64 (+.f64 (*.f64 (log.f64 N) 1) (log.f64 (+.f64 N 1/2))))
(exp.f64 (+.f64 (*.f64 (log.f64 N) 1) (*.f64 (log.f64 (+.f64 N 1/2)) 1)))
(exp.f64 (+.f64 (log.f64 (+.f64 N 1/2)) (*.f64 (log.f64 N) 1)))
(exp.f64 (+.f64 (*.f64 (log.f64 (+.f64 N 1/2)) 1) (log.f64 N)))
(exp.f64 (+.f64 (*.f64 (log.f64 (+.f64 N 1/2)) 1) (*.f64 (log.f64 N) 1)))
(log1p.f64 (expm1.f64 (*.f64 N (+.f64 N 1/2))))
(fma.f64 N N (*.f64 N 1/2))
(fma.f64 N 1/2 (pow.f64 N 2))
(fma.f64 1/2 N (pow.f64 N 2))
(fma.f64 1 (pow.f64 N 2) (*.f64 N 1/2))
(fma.f64 1 (*.f64 N 1/2) (pow.f64 N 2))
(fma.f64 (pow.f64 (cbrt.f64 N) 2) (pow.f64 (cbrt.f64 N) 4) (*.f64 N 1/2))
(fma.f64 (pow.f64 (cbrt.f64 N) 2) (*.f64 (cbrt.f64 N) 1/2) (pow.f64 N 2))
(fma.f64 (pow.f64 N 2) 1 (*.f64 (*.f64 N 1/2) 1))
(fma.f64 (sqrt.f64 N) (pow.f64 N 3/2) (*.f64 N 1/2))
(fma.f64 (sqrt.f64 N) (*.f64 (sqrt.f64 N) 1/2) (pow.f64 N 2))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 N 1/2)) 2) (cbrt.f64 (*.f64 N 1/2)) (pow.f64 N 2))
(fma.f64 (pow.f64 (cbrt.f64 N) 4) (pow.f64 (cbrt.f64 N) 2) (*.f64 N 1/2))
(fma.f64 (pow.f64 N 3/2) (sqrt.f64 N) (*.f64 N 1/2))
(fma.f64 (sqrt.f64 (*.f64 N 1/2)) (sqrt.f64 (*.f64 N 1/2)) (pow.f64 N 2))
(fma.f64 (pow.f64 (cbrt.f64 N) 5) (cbrt.f64 N) (*.f64 N 1/2))
(fma.f64 (*.f64 1/2 (pow.f64 (cbrt.f64 N) 2)) (cbrt.f64 N) (pow.f64 N 2))
(fma.f64 (*.f64 1/2 (sqrt.f64 N)) (sqrt.f64 N) (pow.f64 N 2))

simplify69.0ms (1.1%)

Algorithm
1×egg-herbie
Rules
1806×fma-def
854×distribute-lft-in
818×distribute-rgt-in
660×associate-/r/
480×sqr-pow
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
03784053
19563934
229133832
Stop Event
1×node limit
Counts
154 → 204
Calls
Call 1
Inputs
2
(+.f64 2 (*.f64 -4 N))
(+.f64 2 (+.f64 (*.f64 -4 N) (*.f64 8 (pow.f64 N 2))))
(+.f64 2 (+.f64 (*.f64 -16 (pow.f64 N 3)) (+.f64 (*.f64 -4 N) (*.f64 8 (pow.f64 N 2)))))
(/.f64 1 N)
(-.f64 (/.f64 1 N) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (+.f64 (*.f64 1/4 (/.f64 1 (pow.f64 N 3))) (/.f64 1 N)) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (+.f64 (*.f64 1/4 (/.f64 1 (pow.f64 N 3))) (/.f64 1 N)) (+.f64 (*.f64 1/8 (/.f64 1 (pow.f64 N 4))) (*.f64 1/2 (/.f64 1 (pow.f64 N 2)))))
(/.f64 1 N)
(-.f64 (/.f64 1 N) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (+.f64 (*.f64 1/4 (/.f64 1 (pow.f64 N 3))) (/.f64 1 N)) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (+.f64 (*.f64 1/4 (/.f64 1 (pow.f64 N 3))) (/.f64 1 N)) (+.f64 (*.f64 1/8 (/.f64 1 (pow.f64 N 4))) (*.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 0 (/.f64 1 (+.f64 N 1/2)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 1 (+.f64 N 1/2)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 1 (+.f64 N 1/2))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 1 (+.f64 N 1/2))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 1 (+.f64 N 1/2))))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 1 (+.f64 N 1/2)))) 1)
(*.f64 N (/.f64 (/.f64 1 N) (+.f64 N 1/2)))
(*.f64 (/.f64 1 (+.f64 N 1/2)) 1)
(*.f64 1 (/.f64 1 (+.f64 N 1/2)))
(*.f64 (pow.f64 (cbrt.f64 N) 2) (*.f64 (cbrt.f64 N) (/.f64 (/.f64 1 N) (+.f64 N 1/2))))
(*.f64 (/.f64 1 (cbrt.f64 (+.f64 N 1/2))) (cbrt.f64 (pow.f64 (+.f64 N 1/2) -2)))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 N 1/2) -2)) (/.f64 1 (cbrt.f64 (+.f64 N 1/2))))
(*.f64 (sqrt.f64 N) (*.f64 (sqrt.f64 N) (/.f64 (/.f64 1 N) (+.f64 N 1/2))))
(*.f64 (pow.f64 (+.f64 N 1/2) -1/2) (pow.f64 (+.f64 N 1/2) -1/2))
(*.f64 (neg.f64 N) (/.f64 1 (*.f64 (+.f64 N 1/2) (neg.f64 N))))
(*.f64 (/.f64 (/.f64 1 N) (+.f64 N 1/2)) N)
(*.f64 (/.f64 (/.f64 1 N) (+.f64 N 1/2)) (pow.f64 (/.f64 1 N) -1))
(*.f64 (/.f64 1 N) (/.f64 N (+.f64 N 1/2)))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 N (+.f64 N 1/2))) -2) (/.f64 N (cbrt.f64 (*.f64 N (+.f64 N 1/2)))))
(*.f64 (pow.f64 (*.f64 N (+.f64 N 1/2)) -1/2) (/.f64 N (hypot.f64 N (sqrt.f64 (*.f64 N 1/2)))))
(*.f64 (pow.f64 (cbrt.f64 N) -1) (/.f64 (cbrt.f64 N) (+.f64 N 1/2)))
(*.f64 (pow.f64 (cbrt.f64 N) -1) (pow.f64 (/.f64 (+.f64 N 1/2) (cbrt.f64 N)) -1))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 N) 2) (+.f64 N 1/2)) (pow.f64 (cbrt.f64 N) -2))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 N) 2) 1) (/.f64 (cbrt.f64 N) (*.f64 N (+.f64 N 1/2))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 N) 2) (pow.f64 (cbrt.f64 (*.f64 N (+.f64 N 1/2))) 2)) (/.f64 1 (cbrt.f64 (+.f64 N 1/2))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 N) 2) (hypot.f64 N (sqrt.f64 (*.f64 N 1/2)))) (/.f64 (cbrt.f64 N) (hypot.f64 N (sqrt.f64 (*.f64 N 1/2)))))
(*.f64 (pow.f64 N -1/2) (/.f64 (sqrt.f64 N) (+.f64 N 1/2)))
(*.f64 (pow.f64 N -1/2) (pow.f64 (/.f64 (+.f64 N 1/2) (sqrt.f64 N)) -1))
(*.f64 (/.f64 (sqrt.f64 N) (+.f64 N 1/2)) (pow.f64 N -1/2))
(*.f64 (/.f64 (sqrt.f64 N) 1) (/.f64 (sqrt.f64 N) (*.f64 N (+.f64 N 1/2))))
(*.f64 (/.f64 (sqrt.f64 N) (pow.f64 (cbrt.f64 (*.f64 N (+.f64 N 1/2))) 2)) (/.f64 (sqrt.f64 N) (cbrt.f64 (*.f64 N (+.f64 N 1/2)))))
(*.f64 (/.f64 1 (+.f64 (pow.f64 N 3) 1/8)) (-.f64 (fma.f64 N N 1/4) (*.f64 N 1/2)))
(*.f64 (/.f64 1 (fma.f64 N N -1/4)) (+.f64 N -1/2))
(*.f64 (pow.f64 1 1/3) (/.f64 1 (+.f64 N 1/2)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (/.f64 1 (cbrt.f64 (+.f64 N 1/2)))) 2) 3) (/.f64 1 (cbrt.f64 (+.f64 N 1/2))))
(*.f64 (pow.f64 (sqrt.f64 (/.f64 1 (cbrt.f64 (+.f64 N 1/2)))) 3) (pow.f64 (sqrt.f64 (/.f64 1 (cbrt.f64 (+.f64 N 1/2)))) 3))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (/.f64 1 (+.f64 N 1/2)) 3)) 1/3) (pow.f64 (sqrt.f64 (pow.f64 (/.f64 1 (+.f64 N 1/2)) 3)) 1/3))
(*.f64 (pow.f64 (*.f64 (pow.f64 (+.f64 N 1/2) -2) N) 1/3) (cbrt.f64 (/.f64 (/.f64 1 N) (+.f64 N 1/2))))
(*.f64 (pow.f64 (*.f64 (pow.f64 (+.f64 N 1/2) -2) (cbrt.f64 (pow.f64 (+.f64 N 1/2) -2))) 1/3) (cbrt.f64 (/.f64 1 (cbrt.f64 (+.f64 N 1/2)))))
(*.f64 (pow.f64 (pow.f64 (/.f64 1 (+.f64 N 1/2)) 5/2) 1/3) (cbrt.f64 (pow.f64 (+.f64 N 1/2) -1/2)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 N 1/2) 1)) 2) -1) (/.f64 1 (cbrt.f64 (+.f64 N 1/2))))
(*.f64 (pow.f64 (/.f64 N 1) -1) (pow.f64 (/.f64 (+.f64 N 1/2) N) -1))
(*.f64 (pow.f64 (/.f64 (+.f64 N 1/2) (sqrt.f64 N)) -1) (pow.f64 N -1/2))
(*.f64 (pow.f64 (/.f64 (+.f64 N 1/2) (pow.f64 (cbrt.f64 N) 2)) -1) (pow.f64 (cbrt.f64 N) -2))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 N) -2) -1) (pow.f64 (/.f64 (*.f64 N (+.f64 N 1/2)) (cbrt.f64 N)) -1))
(*.f64 (pow.f64 (pow.f64 N -1/2) -1) (pow.f64 (/.f64 (*.f64 N (+.f64 N 1/2)) (sqrt.f64 N)) -1))
(*.f64 (pow.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 N (+.f64 N 1/2))) 2) 1) -1) (pow.f64 (/.f64 (cbrt.f64 (*.f64 N (+.f64 N 1/2))) N) -1))
(*.f64 (pow.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 N (+.f64 N 1/2))) 2) (pow.f64 (cbrt.f64 N) 2)) -1) (pow.f64 (/.f64 (cbrt.f64 (*.f64 N (+.f64 N 1/2))) (cbrt.f64 N)) -1))
(*.f64 (pow.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 N (+.f64 N 1/2))) 2) (sqrt.f64 N)) -1) (pow.f64 (/.f64 (cbrt.f64 (*.f64 N (+.f64 N 1/2))) (sqrt.f64 N)) -1))
(*.f64 (pow.f64 (/.f64 (hypot.f64 N (sqrt.f64 (*.f64 N 1/2))) 1) -1) (pow.f64 (/.f64 (hypot.f64 N (sqrt.f64 (*.f64 N 1/2))) N) -1))
(*.f64 (pow.f64 (/.f64 (hypot.f64 N (sqrt.f64 (*.f64 N 1/2))) (pow.f64 (cbrt.f64 N) 2)) -1) (pow.f64 (/.f64 (hypot.f64 N (sqrt.f64 (*.f64 N 1/2))) (cbrt.f64 N)) -1))
(*.f64 (pow.f64 (/.f64 (hypot.f64 N (sqrt.f64 (*.f64 N 1/2))) (sqrt.f64 N)) -1) (pow.f64 (/.f64 (hypot.f64 N (sqrt.f64 (*.f64 N 1/2))) (sqrt.f64 N)) -1))
(pow.f64 (+.f64 N 1/2) -1)
(pow.f64 (/.f64 1 (+.f64 N 1/2)) 1)
(pow.f64 (cbrt.f64 (+.f64 N 1/2)) -3)
(pow.f64 (/.f64 1 (cbrt.f64 (+.f64 N 1/2))) 3)
(pow.f64 (pow.f64 (+.f64 N 1/2) 3) -1/3)
(pow.f64 (pow.f64 (+.f64 N 1/2) -2) 1/2)
(pow.f64 (pow.f64 (/.f64 1 (+.f64 N 1/2)) 3) 1/3)
(pow.f64 (sqrt.f64 (+.f64 N 1/2)) -2)
(pow.f64 (pow.f64 (+.f64 N 1/2) -1/2) 2)
(pow.f64 (/.f64 (+.f64 N 1/2) 1) -1)
(pow.f64 (/.f64 (pow.f64 N 3) (pow.f64 (*.f64 N (+.f64 N 1/2)) 3)) 1/3)
(pow.f64 (/.f64 (/.f64 (+.f64 N 1/2) 1) 1) -1)
(neg.f64 (/.f64 N (*.f64 (+.f64 N 1/2) (neg.f64 N))))
(sqrt.f64 (pow.f64 (+.f64 N 1/2) -2))
(log.f64 (exp.f64 (/.f64 1 (+.f64 N 1/2))))
(cbrt.f64 (pow.f64 (/.f64 1 (+.f64 N 1/2)) 3))
(cbrt.f64 (/.f64 (pow.f64 N 3) (pow.f64 (*.f64 N (+.f64 N 1/2)) 3)))
(expm1.f64 (log1p.f64 (/.f64 1 (+.f64 N 1/2))))
(exp.f64 (neg.f64 (log.f64 (+.f64 N 1/2))))
(exp.f64 (*.f64 (neg.f64 (log.f64 (+.f64 N 1/2))) 1))
(exp.f64 (*.f64 (*.f64 (neg.f64 (log.f64 (+.f64 N 1/2))) 1) 1))
(exp.f64 (*.f64 (neg.f64 (log.f64 (cbrt.f64 (+.f64 N 1/2)))) 3))
(exp.f64 (*.f64 (*.f64 3 (neg.f64 (log.f64 (+.f64 N 1/2)))) 1/3))
(exp.f64 (*.f64 (log.f64 (pow.f64 (+.f64 N 1/2) -1/2)) 2))
(exp.f64 (*.f64 (-.f64 (log.f64 (+.f64 N 1/2)) 0) -1))
(exp.f64 (+.f64 (*.f64 (log.f64 N) 1) (neg.f64 (log.f64 (*.f64 N (+.f64 N 1/2))))))
(exp.f64 (+.f64 (neg.f64 (log.f64 (*.f64 N (+.f64 N 1/2)))) (*.f64 (log.f64 N) 1)))
(log1p.f64 (expm1.f64 (/.f64 1 (+.f64 N 1/2))))
(+.f64 (pow.f64 N 2) (*.f64 N 1/2))
(+.f64 (pow.f64 N 2) (*.f64 (*.f64 N 1/2) 1))
(+.f64 (*.f64 N 1/2) (pow.f64 N 2))
(+.f64 0 (*.f64 N (+.f64 N 1/2)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 N) (+.f64 N 1/2))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 N) (+.f64 N 1/2)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 N) (+.f64 N 1/2)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 N) (+.f64 N 1/2)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 N (+.f64 N 1/2)))) 1)
(/.f64 (+.f64 (pow.f64 N 6) (*.f64 (pow.f64 N 3) 1/8)) (+.f64 (pow.f64 N 4) (-.f64 (pow.f64 (*.f64 N 1/2) 2) (*.f64 (pow.f64 N 2) (*.f64 N 1/2)))))
(/.f64 (-.f64 (pow.f64 N 4) (pow.f64 (*.f64 N 1/2) 2)) (-.f64 (pow.f64 N 2) (*.f64 N 1/2)))
(/.f64 (*.f64 N (+.f64 (pow.f64 N 3) 1/8)) (-.f64 (fma.f64 N N 1/4) (*.f64 N 1/2)))
(/.f64 (*.f64 N (fma.f64 N N -1/4)) (+.f64 N -1/2))
(/.f64 (*.f64 (+.f64 (pow.f64 N 3) 1/8) N) (-.f64 (fma.f64 N N 1/4) (*.f64 N 1/2)))
(/.f64 (*.f64 (fma.f64 N N -1/4) N) (+.f64 N -1/2))
(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)) 2) 1/2)
(pow.f64 (pow.f64 (*.f64 N (+.f64 N 1/2)) 3) 1/3)
(pow.f64 (hypot.f64 N (sqrt.f64 (*.f64 N 1/2))) 2)
(sqrt.f64 (pow.f64 (*.f64 N (+.f64 N 1/2)) 2))
(log.f64 (pow.f64 (exp.f64 N) (+.f64 N 1/2)))
(cbrt.f64 (pow.f64 (*.f64 N (+.f64 N 1/2)) 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))
(exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 N (+.f64 N 1/2))) 1) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 N (+.f64 N 1/2)))) 3))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (*.f64 N (+.f64 N 1/2)))) 1/3))
(exp.f64 (*.f64 (log.f64 (hypot.f64 N (sqrt.f64 (*.f64 N 1/2)))) 2))
(exp.f64 (+.f64 (log.f64 N) (*.f64 (log.f64 (+.f64 N 1/2)) 1)))
(exp.f64 (+.f64 (*.f64 (log.f64 N) 1) (log.f64 (+.f64 N 1/2))))
(exp.f64 (+.f64 (*.f64 (log.f64 N) 1) (*.f64 (log.f64 (+.f64 N 1/2)) 1)))
(exp.f64 (+.f64 (log.f64 (+.f64 N 1/2)) (*.f64 (log.f64 N) 1)))
(exp.f64 (+.f64 (*.f64 (log.f64 (+.f64 N 1/2)) 1) (log.f64 N)))
(exp.f64 (+.f64 (*.f64 (log.f64 (+.f64 N 1/2)) 1) (*.f64 (log.f64 N) 1)))
(log1p.f64 (expm1.f64 (*.f64 N (+.f64 N 1/2))))
(fma.f64 N N (*.f64 N 1/2))
(fma.f64 N 1/2 (pow.f64 N 2))
(fma.f64 1/2 N (pow.f64 N 2))
(fma.f64 1 (pow.f64 N 2) (*.f64 N 1/2))
(fma.f64 1 (*.f64 N 1/2) (pow.f64 N 2))
(fma.f64 (pow.f64 (cbrt.f64 N) 2) (pow.f64 (cbrt.f64 N) 4) (*.f64 N 1/2))
(fma.f64 (pow.f64 (cbrt.f64 N) 2) (*.f64 (cbrt.f64 N) 1/2) (pow.f64 N 2))
(fma.f64 (pow.f64 N 2) 1 (*.f64 (*.f64 N 1/2) 1))
(fma.f64 (sqrt.f64 N) (pow.f64 N 3/2) (*.f64 N 1/2))
(fma.f64 (sqrt.f64 N) (*.f64 (sqrt.f64 N) 1/2) (pow.f64 N 2))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 N 1/2)) 2) (cbrt.f64 (*.f64 N 1/2)) (pow.f64 N 2))
(fma.f64 (pow.f64 (cbrt.f64 N) 4) (pow.f64 (cbrt.f64 N) 2) (*.f64 N 1/2))
(fma.f64 (pow.f64 N 3/2) (sqrt.f64 N) (*.f64 N 1/2))
(fma.f64 (sqrt.f64 (*.f64 N 1/2)) (sqrt.f64 (*.f64 N 1/2)) (pow.f64 N 2))
(fma.f64 (pow.f64 (cbrt.f64 N) 5) (cbrt.f64 N) (*.f64 N 1/2))
(fma.f64 (*.f64 1/2 (pow.f64 (cbrt.f64 N) 2)) (cbrt.f64 N) (pow.f64 N 2))
(fma.f64 (*.f64 1/2 (sqrt.f64 N)) (sqrt.f64 N) (pow.f64 N 2))
Outputs
2
(+.f64 2 (*.f64 -4 N))
(fma.f64 -4 N 2)
(+.f64 2 (+.f64 (*.f64 -4 N) (*.f64 8 (pow.f64 N 2))))
(+.f64 2 (fma.f64 -4 N (*.f64 8 (pow.f64 N 2))))
(fma.f64 -4 N (fma.f64 8 (pow.f64 N 2) 2))
(+.f64 2 (+.f64 (*.f64 -16 (pow.f64 N 3)) (+.f64 (*.f64 -4 N) (*.f64 8 (pow.f64 N 2)))))
(+.f64 2 (fma.f64 -16 (pow.f64 N 3) (fma.f64 -4 N (*.f64 8 (pow.f64 N 2)))))
(fma.f64 -16 (pow.f64 N 3) (fma.f64 -4 N (fma.f64 8 (pow.f64 N 2) 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 1/4 (/.f64 1 (pow.f64 N 3))) (/.f64 1 N)) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(+.f64 (/.f64 1/4 (pow.f64 N 3)) (-.f64 (/.f64 1 N) (/.f64 1/2 (pow.f64 N 2))))
(+.f64 (/.f64 1 N) (-.f64 (/.f64 1/4 (pow.f64 N 3)) (/.f64 1/2 (pow.f64 N 2))))
(+.f64 (/.f64 1 N) (+.f64 (/.f64 1/4 (pow.f64 N 3)) (/.f64 -1/2 (pow.f64 N 2))))
(-.f64 (+.f64 (*.f64 1/4 (/.f64 1 (pow.f64 N 3))) (/.f64 1 N)) (+.f64 (*.f64 1/8 (/.f64 1 (pow.f64 N 4))) (*.f64 1/2 (/.f64 1 (pow.f64 N 2)))))
(-.f64 (+.f64 (/.f64 1 N) (/.f64 1/4 (pow.f64 N 3))) (+.f64 (/.f64 1/2 (pow.f64 N 2)) (/.f64 1/8 (pow.f64 N 4))))
(+.f64 (/.f64 1 N) (+.f64 (+.f64 (/.f64 1/4 (pow.f64 N 3)) (/.f64 -1/2 (pow.f64 N 2))) (/.f64 -1/8 (pow.f64 N 4))))
(/.f64 1 N)
(-.f64 (/.f64 1 N) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (/.f64 1 N) (/.f64 1/2 (pow.f64 N 2)))
(+.f64 (/.f64 1 N) (/.f64 -1/2 (pow.f64 N 2)))
(-.f64 (+.f64 (*.f64 1/4 (/.f64 1 (pow.f64 N 3))) (/.f64 1 N)) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(+.f64 (/.f64 1/4 (pow.f64 N 3)) (-.f64 (/.f64 1 N) (/.f64 1/2 (pow.f64 N 2))))
(+.f64 (/.f64 1 N) (-.f64 (/.f64 1/4 (pow.f64 N 3)) (/.f64 1/2 (pow.f64 N 2))))
(+.f64 (/.f64 1 N) (+.f64 (/.f64 1/4 (pow.f64 N 3)) (/.f64 -1/2 (pow.f64 N 2))))
(-.f64 (+.f64 (*.f64 1/4 (/.f64 1 (pow.f64 N 3))) (/.f64 1 N)) (+.f64 (*.f64 1/8 (/.f64 1 (pow.f64 N 4))) (*.f64 1/2 (/.f64 1 (pow.f64 N 2)))))
(-.f64 (+.f64 (/.f64 1 N) (/.f64 1/4 (pow.f64 N 3))) (+.f64 (/.f64 1/2 (pow.f64 N 2)) (/.f64 1/8 (pow.f64 N 4))))
(+.f64 (/.f64 1 N) (+.f64 (+.f64 (/.f64 1/4 (pow.f64 N 3)) (/.f64 -1/2 (pow.f64 N 2))) (/.f64 -1/8 (pow.f64 N 4))))
(*.f64 1/2 N)
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(/.f64 (+.f64 (pow.f64 N 6) (*.f64 (pow.f64 N 3) 1/8)) (+.f64 (pow.f64 N 4) (-.f64 (pow.f64 (*.f64 N 1/2) 2) (*.f64 (pow.f64 N 2) (*.f64 N 1/2)))))
(/.f64 (+.f64 (pow.f64 N 6) (*.f64 (pow.f64 N 3) 1/8)) (+.f64 (pow.f64 N 4) (-.f64 (pow.f64 (*.f64 N 1/2) 2) (*.f64 (pow.f64 N 3) 1/2))))
(/.f64 (fma.f64 (pow.f64 N 3) 1/8 (pow.f64 N 6)) (+.f64 (pow.f64 N 4) (+.f64 (*.f64 (pow.f64 N 2) 1/4) (*.f64 (pow.f64 N 3) -1/2))))
(/.f64 (fma.f64 (pow.f64 N 3) 1/8 (pow.f64 N 6)) (fma.f64 (pow.f64 N 2) 1/4 (*.f64 (pow.f64 N 3) (+.f64 N -1/2))))
(/.f64 (-.f64 (pow.f64 N 4) (pow.f64 (*.f64 N 1/2) 2)) (-.f64 (pow.f64 N 2) (*.f64 N 1/2)))
(/.f64 (-.f64 (pow.f64 N 4) (*.f64 (pow.f64 N 2) 1/4)) (*.f64 N (-.f64 N 1/2)))
(/.f64 (+.f64 (pow.f64 N 4) (*.f64 (pow.f64 N 2) -1/4)) (*.f64 N (+.f64 N -1/2)))
(/.f64 (*.f64 N (+.f64 (pow.f64 N 3) 1/8)) (-.f64 (fma.f64 N N 1/4) (*.f64 N 1/2)))
(/.f64 (+.f64 (pow.f64 N 3) 1/8) (/.f64 (-.f64 (fma.f64 N N 1/4) (*.f64 N 1/2)) N))
(*.f64 (/.f64 (+.f64 (pow.f64 N 3) 1/8) (+.f64 (fma.f64 N N 1/4) (*.f64 N -1/2))) N)
(/.f64 (fma.f64 N 1/8 (pow.f64 N 4)) (+.f64 1/4 (*.f64 N (+.f64 N -1/2))))
(/.f64 (*.f64 N (fma.f64 N N -1/4)) (+.f64 N -1/2))
(/.f64 (fma.f64 N N -1/4) (/.f64 (+.f64 N -1/2) N))
(*.f64 (/.f64 N (+.f64 N -1/2)) (fma.f64 N N -1/4))
(/.f64 (*.f64 (+.f64 (pow.f64 N 3) 1/8) N) (-.f64 (fma.f64 N N 1/4) (*.f64 N 1/2)))
(/.f64 (+.f64 (pow.f64 N 3) 1/8) (/.f64 (-.f64 (fma.f64 N N 1/4) (*.f64 N 1/2)) N))
(*.f64 (/.f64 (+.f64 (pow.f64 N 3) 1/8) (+.f64 (fma.f64 N N 1/4) (*.f64 N -1/2))) N)
(/.f64 (fma.f64 N 1/8 (pow.f64 N 4)) (+.f64 1/4 (*.f64 N (+.f64 N -1/2))))
(/.f64 (*.f64 (fma.f64 N N -1/4) N) (+.f64 N -1/2))
(/.f64 (fma.f64 N N -1/4) (/.f64 (+.f64 N -1/2) N))
(*.f64 (/.f64 N (+.f64 N -1/2)) (fma.f64 N N -1/4))
(pow.f64 (*.f64 N (+.f64 N 1/2)) 1)
(*.f64 N (+.f64 N 1/2))
(pow.f64 (cbrt.f64 (*.f64 N (+.f64 N 1/2))) 3)
(*.f64 N (+.f64 N 1/2))
(pow.f64 (pow.f64 (*.f64 N (+.f64 N 1/2)) 2) 1/2)
(*.f64 N (+.f64 N 1/2))
(pow.f64 (pow.f64 (*.f64 N (+.f64 N 1/2)) 3) 1/3)
(*.f64 N (+.f64 N 1/2))
(pow.f64 (hypot.f64 N (sqrt.f64 (*.f64 N 1/2))) 2)
(*.f64 N (+.f64 N 1/2))
(sqrt.f64 (pow.f64 (*.f64 N (+.f64 N 1/2)) 2))
(*.f64 N (+.f64 N 1/2))
(log.f64 (pow.f64 (exp.f64 N) (+.f64 N 1/2)))
(*.f64 N (+.f64 N 1/2))
(cbrt.f64 (pow.f64 (*.f64 N (+.f64 N 1/2)) 3))
(*.f64 N (+.f64 N 1/2))
(expm1.f64 (log1p.f64 (*.f64 N (+.f64 N 1/2))))
(*.f64 N (+.f64 N 1/2))
(exp.f64 (log.f64 (*.f64 N (+.f64 N 1/2))))
(*.f64 N (+.f64 N 1/2))
(exp.f64 (*.f64 (log.f64 (*.f64 N (+.f64 N 1/2))) 1))
(*.f64 N (+.f64 N 1/2))
(exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 N (+.f64 N 1/2))) 1) 1))
(*.f64 N (+.f64 N 1/2))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 N (+.f64 N 1/2)))) 3))
(*.f64 N (+.f64 N 1/2))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (*.f64 N (+.f64 N 1/2)))) 1/3))
(*.f64 N (+.f64 N 1/2))
(exp.f64 (*.f64 (log.f64 (hypot.f64 N (sqrt.f64 (*.f64 N 1/2)))) 2))
(*.f64 N (+.f64 N 1/2))
(exp.f64 (+.f64 (log.f64 N) (*.f64 (log.f64 (+.f64 N 1/2)) 1)))
(*.f64 N (+.f64 N 1/2))
(exp.f64 (+.f64 (*.f64 (log.f64 N) 1) (log.f64 (+.f64 N 1/2))))
(*.f64 N (+.f64 N 1/2))
(exp.f64 (+.f64 (*.f64 (log.f64 N) 1) (*.f64 (log.f64 (+.f64 N 1/2)) 1)))
(*.f64 N (+.f64 N 1/2))
(exp.f64 (+.f64 (log.f64 (+.f64 N 1/2)) (*.f64 (log.f64 N) 1)))
(*.f64 N (+.f64 N 1/2))
(exp.f64 (+.f64 (*.f64 (log.f64 (+.f64 N 1/2)) 1) (log.f64 N)))
(*.f64 N (+.f64 N 1/2))
(exp.f64 (+.f64 (*.f64 (log.f64 (+.f64 N 1/2)) 1) (*.f64 (log.f64 N) 1)))
(*.f64 N (+.f64 N 1/2))
(log1p.f64 (expm1.f64 (*.f64 N (+.f64 N 1/2))))
(*.f64 N (+.f64 N 1/2))
(fma.f64 N N (*.f64 N 1/2))
(*.f64 N (+.f64 N 1/2))
(fma.f64 N 1/2 (pow.f64 N 2))
(*.f64 N (+.f64 N 1/2))
(fma.f64 1/2 N (pow.f64 N 2))
(*.f64 N (+.f64 N 1/2))
(fma.f64 1 (pow.f64 N 2) (*.f64 N 1/2))
(*.f64 N (+.f64 N 1/2))
(fma.f64 1 (*.f64 N 1/2) (pow.f64 N 2))
(*.f64 N (+.f64 N 1/2))
(fma.f64 (pow.f64 (cbrt.f64 N) 2) (pow.f64 (cbrt.f64 N) 4) (*.f64 N 1/2))
(*.f64 N (+.f64 N 1/2))
(fma.f64 (pow.f64 (cbrt.f64 N) 2) (*.f64 (cbrt.f64 N) 1/2) (pow.f64 N 2))
(*.f64 N (+.f64 N 1/2))
(fma.f64 (pow.f64 N 2) 1 (*.f64 (*.f64 N 1/2) 1))
(*.f64 N (+.f64 N 1/2))
(fma.f64 (sqrt.f64 N) (pow.f64 N 3/2) (*.f64 N 1/2))
(fma.f64 (sqrt.f64 N) (*.f64 (sqrt.f64 N) 1/2) (pow.f64 N 2))
(*.f64 N (+.f64 N 1/2))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 N 1/2)) 2) (cbrt.f64 (*.f64 N 1/2)) (pow.f64 N 2))
(*.f64 N (+.f64 N 1/2))
(fma.f64 (pow.f64 (cbrt.f64 N) 4) (pow.f64 (cbrt.f64 N) 2) (*.f64 N 1/2))
(*.f64 N (+.f64 N 1/2))
(fma.f64 (pow.f64 N 3/2) (sqrt.f64 N) (*.f64 N 1/2))
(fma.f64 (sqrt.f64 N) (pow.f64 N 3/2) (*.f64 N 1/2))
(fma.f64 (sqrt.f64 (*.f64 N 1/2)) (sqrt.f64 (*.f64 N 1/2)) (pow.f64 N 2))
(*.f64 N (+.f64 N 1/2))
(fma.f64 (pow.f64 (cbrt.f64 N) 5) (cbrt.f64 N) (*.f64 N 1/2))
(*.f64 N (+.f64 N 1/2))
(fma.f64 (*.f64 1/2 (pow.f64 (cbrt.f64 N) 2)) (cbrt.f64 N) (pow.f64 N 2))
(*.f64 N (+.f64 N 1/2))
(fma.f64 (*.f64 1/2 (sqrt.f64 N)) (sqrt.f64 N) (pow.f64 N 2))
(*.f64 N (+.f64 N 1/2))

eval67.0ms (1%)

Compiler

Compiled 2758 to 2009 computations (27.2% saved)

prune31.0ms (0.5%)

Pruning

12 alts after pruning (6 fresh and 6 done)

PrunedKeptTotal
New1986204
Fresh000
Picked101
Done167
Total20012212
Accuracy
100.0%
Counts
212 → 12
Alt Table
Click to see full alt table
StatusAccuracyProgram
23.6%
(pow.f64 (pow.f64 (+.f64 N 1/2) 3) -1/3)
11.0%
(/.f64 N (pow.f64 (pow.f64 (*.f64 N (+.f64 N 1/2)) 3) 1/3))
30.9%
(/.f64 N (exp.f64 (log.f64 (*.f64 N (+.f64 N 1/2)))))
58.9%
(/.f64 1 (+.f64 N 1/2))
✓54.3%
(/.f64 1 N)
✓49.3%
(-.f64 N (log.f64 N))
✓53.2%
(+.f64 (/.f64 1 N) (+.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 -1/2 (pow.f64 N 2))))
33.1%
(*.f64 (/.f64 (/.f64 1 N) (+.f64 N 1/2)) N)
✓51.4%
(*.f64 2 (log.f64 (sqrt.f64 (/.f64 (+.f64 N 1) N))))
✓48.0%
(neg.f64 (log.f64 N))
✓51.4%
(log.f64 (/.f64 (+.f64 N 1) N))
9.5%
2
Compiler

Compiled 221 to 160 computations (27.6% saved)

regimes28.0ms (0.4%)

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

2 calls:

16.0ms
N
7.0ms
(-.f64 (log.f64 (+.f64 N 1)) (log.f64 N))
Results
AccuracySegmentsBranch
100.0%2N
100.0%2(-.f64 (log.f64 (+.f64 N 1)) (log.f64 N))
Compiler

Compiled 137 to 95 computations (30.7% saved)

regimes39.0ms (0.6%)

Counts
17 → 2
Calls
Call 1
Inputs
2
(/.f64 1 N)
(/.f64 1 (+.f64 N 1/2))
(/.f64 N (*.f64 N (+.f64 N 1/2)))
(*.f64 (/.f64 (/.f64 1 N) (+.f64 N 1/2)) N)
(neg.f64 (log.f64 N))
(-.f64 N (log.f64 N))
(log.f64 (/.f64 (+.f64 N 1) N))
(neg.f64 (log.f64 (/.f64 N (+.f64 N 1))))
(-.f64 (/.f64 1 N) (/.f64 1/2 (pow.f64 N 2)))
(/.f64 N (/.f64 (pow.f64 N 3) (+.f64 N -1/2)))
(-.f64 (log1p.f64 N) (log.f64 N))
(-.f64 (log.f64 (+.f64 N 1)) (log.f64 N))
(pow.f64 (pow.f64 (+.f64 N 1/2) 3) -1/3)
(*.f64 2 (log.f64 (sqrt.f64 (/.f64 (+.f64 N 1) N))))
(/.f64 N (exp.f64 (log.f64 (*.f64 N (+.f64 N 1/2)))))
(/.f64 N (pow.f64 (pow.f64 (*.f64 N (+.f64 N 1/2)) 3) 1/3))
Outputs
(/.f64 1 (+.f64 N 1/2))
(log.f64 (/.f64 (+.f64 N 1) N))
Calls

2 calls:

26.0ms
N
9.0ms
(-.f64 (log.f64 (+.f64 N 1)) (log.f64 N))
Results
AccuracySegmentsBranch
100.0%2N
100.0%2(-.f64 (log.f64 (+.f64 N 1)) (log.f64 N))
Compiler

Compiled 122 to 83 computations (32% saved)

regimes10.0ms (0.2%)

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

1 calls:

9.0ms
N
Results
AccuracySegmentsBranch
99.4%2N
Compiler

Compiled 35 to 22 computations (37.1% saved)

regimes10.0ms (0.2%)

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

1 calls:

9.0ms
N
Results
AccuracySegmentsBranch
98.9%2N
Compiler

Compiled 31 to 21 computations (32.3% saved)

regimes19.0ms (0.3%)

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

1 calls:

17.0ms
N
Results
AccuracySegmentsBranch
58.9%1N
Compiler

Compiled 28 to 19 computations (32.1% saved)

regimes6.0ms (0.1%)

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

1 calls:

6.0ms
N
Results
AccuracySegmentsBranch
58.6%2N
Compiler

Compiled 7 to 5 computations (28.6% saved)

regimes3.0ms (0%)

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts
1 → 1
Calls
Call 1
Inputs
2
Outputs
2
Calls

1 calls:

3.0ms
N
Results
AccuracySegmentsBranch
9.5%1N
Compiler

Compiled 4 to 3 computations (25% saved)

bsearch0.0ms (0%)

Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
5.104816089840369e-7
0.512286553488621
Compiler

Compiled 12 to 9 computations (25% saved)

bsearch0.0ms (0%)

Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
5.104816089840369e-7
0.512286553488621
Compiler

Compiled 12 to 9 computations (25% saved)

bsearch17.0ms (0.3%)

Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
17.0ms
2.9023035483927154e-5
1.4945374752412606
Results
15.0ms128×body256valid
Compiler

Compiled 116 to 89 computations (23.3% saved)

bsearch16.0ms (0.3%)

Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
16.0ms
2.9023035483927154e-5
1.4945374752412606
Results
15.0ms128×body256valid
Compiler

Compiled 108 to 89 computations (17.6% saved)

bsearch16.0ms (0.2%)

Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
16.0ms
2.9023035483927154e-5
1.4945374752412606
Results
14.0ms128×body256valid
Compiler

Compiled 76 to 65 computations (14.5% saved)

simplify8.0ms (0.1%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
044309
155309
259309
360309
Stop Event
1×fuel
1×saturated
Calls
Call 1
Inputs
(if (<=.f64 (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N)) 4722366482869645/4722366482869645213696) (+.f64 (/.f64 1 N) (+.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 -1/2 (pow.f64 N 2)))) (log.f64 (/.f64 (+.f64 N 1) N)))
(if (<=.f64 (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N)) 4722366482869645/4722366482869645213696) (/.f64 1 (+.f64 N 1/2)) (log.f64 (/.f64 (+.f64 N 1) N)))
(if (<=.f64 N 5404319552844595/9007199254740992) (-.f64 N (log.f64 N)) (/.f64 1 (+.f64 N 1/2)))
(if (<=.f64 N 607985949695017/2251799813685248) (neg.f64 (log.f64 N)) (/.f64 1 (+.f64 N 1/2)))
(/.f64 1 (+.f64 N 1/2))
(if (<=.f64 N 1/2) 2 (/.f64 1 N))
2
Outputs
(if (<=.f64 (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N)) 4722366482869645/4722366482869645213696) (+.f64 (/.f64 1 N) (+.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 -1/2 (pow.f64 N 2)))) (log.f64 (/.f64 (+.f64 N 1) N)))
(if (<=.f64 (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N)) 4722366482869645/4722366482869645213696) (/.f64 1 (+.f64 N 1/2)) (log.f64 (/.f64 (+.f64 N 1) N)))
(if (<=.f64 N 5404319552844595/9007199254740992) (-.f64 N (log.f64 N)) (/.f64 1 (+.f64 N 1/2)))
(if (<=.f64 N 607985949695017/2251799813685248) (neg.f64 (log.f64 N)) (/.f64 1 (+.f64 N 1/2)))
(/.f64 1 (+.f64 N 1/2))
(if (<=.f64 N 1/2) 2 (/.f64 1 N))
2
Compiler

Compiled 98 to 76 computations (22.4% saved)

soundness1.6s (25.1%)

Rules
1806×fma-def
1082×associate-/r*
950×unpow-prod-down
920×fma-def
862×log-prod
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
046312494
1111111942
2413911728
01358
117858
2175658
046312494
1111111942
2413911728
024210
1355200
25991200
073017315
1190216380
072311929
1180110988
2658910988
0947
111135
2167435
03784053
19563934
229133832
046312494
1111111942
2413911728
046312494
1111111942
2413911728
Stop Event
1×node limit
1×node limit
1×node limit
1×node limit
1×node limit
1×node limit
1×node limit
1×node limit
1×node limit
1×node limit
Compiler

Compiled 495 to 367 computations (25.9% saved)

end0.0ms (0%)

preprocess71.0ms (1.1%)

Compiler

Compiled 200 to 146 computations (27% saved)

Profiling

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