logs (example 3.8)

Time bar (total: 8.2s)

analyze0.0ms (0%)

Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%23.7%76.3%0%0%0%0
100%23.7%0%76.3%0%0%0%1
Compiler

Compiled 19 to 14 computations (26.3% saved)

sample5.6s (68.7%)

Results
3.8s4384×body1024valid
978.0ms2131×body512valid
537.0ms489×body2048valid
303.0ms1252×body256valid
Bogosity

preprocess181.0ms (2.2%)

Algorithm
egg-herbie
Rules
1458×unsub-neg
1120×sub-neg
856×distribute-lft-out
756×fma-neg
734×distribute-neg-in
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
020147
153113
2141109
3444109
41725105
53896105
65442105
76537105
87141105
97376105
107412105
117420105
127499105
Stop Event
node limit
Calls
Call 1
Inputs
(-.f64 (-.f64 (*.f64 (+.f64 n 1) (log.f64 (+.f64 n 1))) (*.f64 n (log.f64 n))) 1)
(-.f64 (-.f64 (*.f64 (+.f64 n 1) (log.f64 (+.f64 n 1))) (*.f64 n (log.f64 n))) 1)
(-.f64 (-.f64 (*.f64 (+.f64 (neg.f64 n) 1) (log.f64 (+.f64 (neg.f64 n) 1))) (*.f64 (neg.f64 n) (log.f64 (neg.f64 n)))) 1)
Outputs
(-.f64 (-.f64 (*.f64 (+.f64 n 1) (log.f64 (+.f64 n 1))) (*.f64 n (log.f64 n))) 1)
(-.f64 (*.f64 (+.f64 n 1) (log.f64 (+.f64 n 1))) (+.f64 (*.f64 n (log.f64 n)) 1))
(-.f64 (*.f64 (+.f64 n 1) (log1p.f64 n)) (fma.f64 n (log.f64 n) 1))
(-.f64 (fma.f64 n (log1p.f64 n) (log1p.f64 n)) (fma.f64 n (log.f64 n) 1))
(+.f64 (log1p.f64 n) (fma.f64 n (-.f64 (log1p.f64 n) (log.f64 n)) -1))
(-.f64 (-.f64 (*.f64 (+.f64 n 1) (log.f64 (+.f64 n 1))) (*.f64 n (log.f64 n))) 1)
(-.f64 (*.f64 (+.f64 n 1) (log.f64 (+.f64 n 1))) (+.f64 (*.f64 n (log.f64 n)) 1))
(-.f64 (*.f64 (+.f64 n 1) (log1p.f64 n)) (fma.f64 n (log.f64 n) 1))
(-.f64 (fma.f64 n (log1p.f64 n) (log1p.f64 n)) (fma.f64 n (log.f64 n) 1))
(+.f64 (log1p.f64 n) (fma.f64 n (-.f64 (log1p.f64 n) (log.f64 n)) -1))
(-.f64 (-.f64 (*.f64 (+.f64 (neg.f64 n) 1) (log.f64 (+.f64 (neg.f64 n) 1))) (*.f64 (neg.f64 n) (log.f64 (neg.f64 n)))) 1)
(+.f64 (+.f64 (*.f64 (+.f64 1 (neg.f64 n)) (log.f64 (+.f64 1 (neg.f64 n)))) (*.f64 n (log.f64 (neg.f64 n)))) -1)
(+.f64 (fma.f64 (-.f64 1 n) (log1p.f64 (neg.f64 n)) (*.f64 n (log.f64 (neg.f64 n)))) -1)
(fma.f64 (-.f64 1 n) (log1p.f64 (neg.f64 n)) (fma.f64 n (log.f64 (neg.f64 n)) -1))
(fma.f64 n (log.f64 (neg.f64 n)) (fma.f64 (-.f64 1 n) (log1p.f64 (neg.f64 n)) -1))
Compiler

Compiled 16 to 12 computations (25% saved)

eval1.0ms (0%)

Compiler

Compiled 51 to 27 computations (47.1% saved)

prune4.0ms (0%)

Alt Table
Click to see full alt table
StatusAccuracyProgram
1.6%
(-.f64 (-.f64 (*.f64 (+.f64 n 1) (log.f64 (+.f64 n 1))) (*.f64 n (log.f64 n))) 1)
3.2%
(-.f64 (*.f64 (+.f64 n 1) (log.f64 (+.f64 n 1))) (+.f64 (*.f64 n (log.f64 n)) 1))
30.7%
(+.f64 (log1p.f64 n) (fma.f64 n (-.f64 (log1p.f64 n) (log.f64 n)) -1))
1.6%
(-.f64 (-.f64 (*.f64 (+.f64 n 1) (log.f64 (+.f64 n 1))) (*.f64 n (log.f64 n))) 1)
3.2%
(-.f64 (*.f64 (+.f64 n 1) (log.f64 (+.f64 n 1))) (+.f64 (*.f64 n (log.f64 n)) 1))
30.7%
(+.f64 (log1p.f64 n) (fma.f64 n (-.f64 (log1p.f64 n) (log.f64 n)) -1))
Compiler

Compiled 88 to 62 computations (29.5% saved)

localize695.0ms (8.5%)

Localize:

Found 9 expressions with local error:

NewAccuracyProgram
100.0%
(-.f64 (-.f64 (*.f64 (+.f64 n 1) (log.f64 (+.f64 n 1))) (*.f64 n (log.f64 n))) 1)
99.6%
(*.f64 (+.f64 n 1) (log.f64 (+.f64 n 1)))
99.6%
(*.f64 n (log.f64 n))
3.1%
(-.f64 (*.f64 (+.f64 n 1) (log.f64 (+.f64 n 1))) (*.f64 n (log.f64 n)))
99.6%
(*.f64 (+.f64 n 1) (log.f64 (+.f64 n 1)))
99.6%
(*.f64 n (log.f64 n))
3.1%
(-.f64 (*.f64 (+.f64 n 1) (log.f64 (+.f64 n 1))) (+.f64 (*.f64 n (log.f64 n)) 1))
5.3%
(-.f64 (log1p.f64 n) (log.f64 n))
3.6%
(fma.f64 n (-.f64 (log1p.f64 n) (log.f64 n)) -1)
Compiler

Compiled 127 to 63 computations (50.4% saved)

series54.0ms (0.7%)

Counts
9 → 100
Calls

27 calls:

TimeVariablePointExpression
32.0ms
n
@0
(*.f64 n (log.f64 n))
11.0ms
n
@-inf
(*.f64 n (log.f64 n))
6.0ms
n
@inf
(*.f64 n (log.f64 n))
1.0ms
n
@inf
(fma.f64 n (-.f64 (log1p.f64 n) (log.f64 n)) -1)
1.0ms
n
@inf
(-.f64 (*.f64 (+.f64 n 1) (log.f64 (+.f64 n 1))) (+.f64 (*.f64 n (log.f64 n)) 1))

rewrite304.0ms (3.7%)

Algorithm
batch-egg-rewrite
Rules
1312×fma-neg
686×expm1-udef
686×log1p-udef
414×add-sqr-sqrt
408×pow1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
019197
1440197
25804197
Stop Event
node limit
Counts
9 → 414
Calls
Call 1
Inputs
(fma.f64 n (-.f64 (log1p.f64 n) (log.f64 n)) -1)
(-.f64 (log1p.f64 n) (log.f64 n))
(-.f64 (*.f64 (+.f64 n 1) (log.f64 (+.f64 n 1))) (+.f64 (*.f64 n (log.f64 n)) 1))
(*.f64 n (log.f64 n))
(*.f64 (+.f64 n 1) (log.f64 (+.f64 n 1)))
(-.f64 (*.f64 (+.f64 n 1) (log.f64 (+.f64 n 1))) (*.f64 n (log.f64 n)))
(*.f64 n (log.f64 n))
(*.f64 (+.f64 n 1) (log.f64 (+.f64 n 1)))
(-.f64 (-.f64 (*.f64 (+.f64 n 1) (log.f64 (+.f64 n 1))) (*.f64 n (log.f64 n))) 1)
Outputs
(+.f64 -1 (*.f64 n (-.f64 (log1p.f64 n) (log.f64 n))))
(+.f64 (*.f64 n (-.f64 (log1p.f64 n) (log.f64 n))) -1)
(+.f64 (*.f64 (*.f64 n (-.f64 (log1p.f64 n) (log.f64 n))) 1) -1)
(-.f64 (exp.f64 (log1p.f64 (fma.f64 n (-.f64 (log1p.f64 n) (log.f64 n)) -1))) 1)
(*.f64 (fma.f64 n (-.f64 (log1p.f64 n) (log.f64 n)) -1) 1)
(*.f64 1 (fma.f64 n (-.f64 (log1p.f64 n) (log.f64 n)) -1))
(*.f64 (cbrt.f64 (fma.f64 n (-.f64 (log1p.f64 n) (log.f64 n)) -1)) (pow.f64 (cbrt.f64 (fma.f64 n (-.f64 (log1p.f64 n) (log.f64 n)) -1)) 2))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 n (-.f64 (log1p.f64 n) (log.f64 n)) -1)) 2) (cbrt.f64 (fma.f64 n (-.f64 (log1p.f64 n) (log.f64 n)) -1)))
(*.f64 (sqrt.f64 (fma.f64 n (-.f64 (log1p.f64 n) (log.f64 n)) -1)) (sqrt.f64 (fma.f64 n (-.f64 (log1p.f64 n) (log.f64 n)) -1)))
(/.f64 (+.f64 (pow.f64 (*.f64 n (-.f64 (log1p.f64 n) (log.f64 n))) 3) -1) (+.f64 (*.f64 (*.f64 n (-.f64 (log1p.f64 n) (log.f64 n))) (*.f64 n (-.f64 (log1p.f64 n) (log.f64 n)))) (-.f64 1 (*.f64 (*.f64 n (-.f64 (log1p.f64 n) (log.f64 n))) -1))))
(/.f64 (fma.f64 (*.f64 n (-.f64 (log1p.f64 n) (log.f64 n))) (*.f64 n (-.f64 (log1p.f64 n) (log.f64 n))) -1) (fma.f64 n (-.f64 (log1p.f64 n) (log.f64 n)) 1))
(pow.f64 (fma.f64 n (-.f64 (log1p.f64 n) (log.f64 n)) -1) 1)
(pow.f64 (cbrt.f64 (fma.f64 n (-.f64 (log1p.f64 n) (log.f64 n)) -1)) 3)
(pow.f64 (pow.f64 (fma.f64 n (-.f64 (log1p.f64 n) (log.f64 n)) -1) 3) 1/3)
(pow.f64 (sqrt.f64 (fma.f64 n (-.f64 (log1p.f64 n) (log.f64 n)) -1)) 2)
(sqrt.f64 (pow.f64 (fma.f64 n (-.f64 (log1p.f64 n) (log.f64 n)) -1) 2))
(log.f64 (exp.f64 (fma.f64 n (-.f64 (log1p.f64 n) (log.f64 n)) -1)))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 n (-.f64 (log1p.f64 n) (log.f64 n)) -1))))
(cbrt.f64 (pow.f64 (fma.f64 n (-.f64 (log1p.f64 n) (log.f64 n)) -1) 3))
(expm1.f64 (log1p.f64 (fma.f64 n (-.f64 (log1p.f64 n) (log.f64 n)) -1)))
(exp.f64 (log.f64 (fma.f64 n (-.f64 (log1p.f64 n) (log.f64 n)) -1)))
(exp.f64 (*.f64 (log.f64 (fma.f64 n (-.f64 (log1p.f64 n) (log.f64 n)) -1)) 1))
(log1p.f64 (expm1.f64 (fma.f64 n (-.f64 (log1p.f64 n) (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 (log1p.f64 n) (neg.f64 (log.f64 n)))
(+.f64 (log1p.f64 n) (*.f64 (neg.f64 (log.f64 n)) 1))
(+.f64 (neg.f64 (log.f64 n)) (log1p.f64 n))
(*.f64 (-.f64 (log1p.f64 n) (log.f64 n)) 1)
(*.f64 1 (-.f64 (log1p.f64 n) (log.f64 n)))
(*.f64 (cbrt.f64 (-.f64 (log1p.f64 n) (log.f64 n))) (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 n) (log.f64 n))) 2))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 n) (log.f64 n))) 2) (cbrt.f64 (-.f64 (log1p.f64 n) (log.f64 n))))
(*.f64 (sqrt.f64 (-.f64 (log1p.f64 n) (log.f64 n))) (sqrt.f64 (-.f64 (log1p.f64 n) (log.f64 n))))
(*.f64 (-.f64 (pow.f64 (log1p.f64 n) 3) (pow.f64 (log.f64 n) 3)) (/.f64 1 (+.f64 (pow.f64 (log1p.f64 n) 2) (*.f64 (log.f64 n) (+.f64 (log.f64 n) (log1p.f64 n))))))
(*.f64 (-.f64 (pow.f64 (log1p.f64 n) 2) (pow.f64 (log.f64 n) 2)) (/.f64 1 (+.f64 (log.f64 n) (log1p.f64 n))))
(*.f64 (+.f64 (sqrt.f64 (log1p.f64 n)) (sqrt.f64 (log.f64 n))) (-.f64 (sqrt.f64 (log1p.f64 n)) (sqrt.f64 (log.f64 n))))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (log1p.f64 n) 2) (*.f64 (log.f64 n) (+.f64 (log.f64 n) (log1p.f64 n)))) (-.f64 (pow.f64 (log1p.f64 n) 3) (pow.f64 (log.f64 n) 3))))
(/.f64 1 (/.f64 (+.f64 (log.f64 n) (log1p.f64 n)) (-.f64 (pow.f64 (log1p.f64 n) 2) (pow.f64 (log.f64 n) 2))))
(/.f64 (-.f64 (pow.f64 (log1p.f64 n) 3) (pow.f64 (log.f64 n) 3)) (+.f64 (pow.f64 (log1p.f64 n) 2) (*.f64 (log.f64 n) (+.f64 (log.f64 n) (log1p.f64 n)))))
(/.f64 (-.f64 (pow.f64 (log1p.f64 n) 2) (pow.f64 (log.f64 n) 2)) (+.f64 (log.f64 n) (log1p.f64 n)))
(/.f64 (neg.f64 (-.f64 (pow.f64 (log1p.f64 n) 3) (pow.f64 (log.f64 n) 3))) (neg.f64 (+.f64 (pow.f64 (log1p.f64 n) 2) (*.f64 (log.f64 n) (+.f64 (log.f64 n) (log1p.f64 n))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (log1p.f64 n) 2) (pow.f64 (log.f64 n) 2))) (neg.f64 (+.f64 (log.f64 n) (log1p.f64 n))))
(/.f64 (+.f64 (pow.f64 (log1p.f64 n) 3) (pow.f64 (neg.f64 (log.f64 n)) 3)) (+.f64 (pow.f64 (log1p.f64 n) 2) (-.f64 (*.f64 (neg.f64 (log.f64 n)) (neg.f64 (log.f64 n))) (*.f64 (log1p.f64 n) (neg.f64 (log.f64 n))))))
(/.f64 (-.f64 (pow.f64 (log1p.f64 n) 2) (*.f64 (neg.f64 (log.f64 n)) (neg.f64 (log.f64 n)))) (-.f64 (log1p.f64 n) (neg.f64 (log.f64 n))))
(pow.f64 (-.f64 (log1p.f64 n) (log.f64 n)) 1)
(pow.f64 (cbrt.f64 (-.f64 (log1p.f64 n) (log.f64 n))) 3)
(pow.f64 (pow.f64 (-.f64 (log1p.f64 n) (log.f64 n)) 3) 1/3)
(pow.f64 (sqrt.f64 (-.f64 (log1p.f64 n) (log.f64 n))) 2)
(sqrt.f64 (pow.f64 (-.f64 (log1p.f64 n) (log.f64 n)) 2))
(log.f64 (/.f64 (+.f64 n 1) n))
(log.f64 (+.f64 1 (-.f64 (/.f64 (+.f64 n 1) n) 1)))
(log.f64 (*.f64 (+.f64 n 1) (/.f64 1 n)))
(log.f64 (*.f64 (exp.f64 (neg.f64 (log.f64 n))) (+.f64 n 1)))
(log.f64 (*.f64 (/.f64 1 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))
(log1p.f64 (-.f64 (/.f64 (+.f64 n 1) n) 1))
(fma.f64 1 (log1p.f64 n) (neg.f64 (log.f64 n)))
(fma.f64 (log1p.f64 n) 1 (neg.f64 (log.f64 n)))
(fma.f64 (cbrt.f64 (log1p.f64 n)) (cbrt.f64 (pow.f64 (log1p.f64 n) 2)) (neg.f64 (log.f64 n)))
(fma.f64 (cbrt.f64 (pow.f64 (log1p.f64 n) 2)) (cbrt.f64 (log1p.f64 n)) (neg.f64 (log.f64 n)))
(fma.f64 (sqrt.f64 (log1p.f64 n)) (sqrt.f64 (log1p.f64 n)) (neg.f64 (log.f64 n)))
(+.f64 -1 (-.f64 (*.f64 (+.f64 n 1) (log1p.f64 n)) (*.f64 n (log.f64 n))))
(+.f64 (*.f64 (+.f64 n 1) (log1p.f64 n)) (neg.f64 (fma.f64 n (log.f64 n) 1)))
(+.f64 (*.f64 (+.f64 n 1) (log1p.f64 n)) (*.f64 (neg.f64 (fma.f64 n (log.f64 n) 1)) 1))
(+.f64 (*.f64 (+.f64 n 1) (log1p.f64 n)) (fma.f64 (log.f64 n) (neg.f64 n) -1))
(+.f64 (-.f64 (*.f64 (+.f64 n 1) (log1p.f64 n)) (fma.f64 n (log.f64 n) 1)) (fma.f64 (neg.f64 (fma.f64 n (log.f64 n) 1)) 1 (fma.f64 n (log.f64 n) 1)))
(+.f64 (-.f64 (*.f64 (+.f64 n 1) (log1p.f64 n)) (fma.f64 n (log.f64 n) 1)) (fma.f64 (neg.f64 (cbrt.f64 (fma.f64 n (log.f64 n) 1))) (pow.f64 (cbrt.f64 (fma.f64 n (log.f64 n) 1)) 2) (fma.f64 n (log.f64 n) 1)))
(+.f64 (-.f64 (*.f64 (+.f64 n 1) (log1p.f64 n)) (fma.f64 n (log.f64 n) 1)) (+.f64 (neg.f64 (fma.f64 n (log.f64 n) 1)) (fma.f64 n (log.f64 n) 1)))
(+.f64 (-.f64 (*.f64 (+.f64 n 1) (log1p.f64 n)) (*.f64 n (log.f64 n))) -1)
(+.f64 (-.f64 (*.f64 (+.f64 n 1) (log1p.f64 n)) (*.f64 n (log.f64 n))) (+.f64 (fma.f64 (neg.f64 n) (log.f64 n) (*.f64 n (log.f64 n))) -1))
(+.f64 (-.f64 (*.f64 (+.f64 n 1) (log1p.f64 n)) (*.f64 n (log.f64 n))) (-.f64 (fma.f64 (neg.f64 n) (log.f64 n) (*.f64 n (log.f64 n))) 1))
(+.f64 (neg.f64 (fma.f64 n (log.f64 n) 1)) (*.f64 (+.f64 n 1) (log1p.f64 n)))
(*.f64 1 (-.f64 (*.f64 (+.f64 n 1) (log1p.f64 n)) (fma.f64 n (log.f64 n) 1)))
(*.f64 (-.f64 (*.f64 (+.f64 n 1) (log1p.f64 n)) (fma.f64 n (log.f64 n) 1)) 1)
(*.f64 (cbrt.f64 (-.f64 (*.f64 (+.f64 n 1) (log1p.f64 n)) (fma.f64 n (log.f64 n) 1))) (pow.f64 (cbrt.f64 (-.f64 (*.f64 (+.f64 n 1) (log1p.f64 n)) (fma.f64 n (log.f64 n) 1))) 2))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 (*.f64 (+.f64 n 1) (log1p.f64 n)) (fma.f64 n (log.f64 n) 1))) 2) (cbrt.f64 (-.f64 (*.f64 (+.f64 n 1) (log1p.f64 n)) (fma.f64 n (log.f64 n) 1))))
(*.f64 (sqrt.f64 (-.f64 (*.f64 (+.f64 n 1) (log1p.f64 n)) (fma.f64 n (log.f64 n) 1))) (sqrt.f64 (-.f64 (*.f64 (+.f64 n 1) (log1p.f64 n)) (fma.f64 n (log.f64 n) 1))))
(*.f64 (-.f64 (pow.f64 (*.f64 (+.f64 n 1) (log1p.f64 n)) 3) (pow.f64 (fma.f64 n (log.f64 n) 1) 3)) (/.f64 1 (+.f64 (pow.f64 (*.f64 (+.f64 n 1) (log1p.f64 n)) 2) (*.f64 (fma.f64 n (log.f64 n) 1) (fma.f64 (+.f64 n 1) (log1p.f64 n) (fma.f64 n (log.f64 n) 1))))))
(*.f64 (+.f64 (pow.f64 (-.f64 (*.f64 (+.f64 n 1) (log1p.f64 n)) (*.f64 n (log.f64 n))) 3) -1) (/.f64 1 (+.f64 (pow.f64 (-.f64 (*.f64 (+.f64 n 1) (log1p.f64 n)) (*.f64 n (log.f64 n))) 2) (-.f64 (*.f64 (+.f64 n 1) (log1p.f64 n)) (fma.f64 n (log.f64 n) -1)))))
(*.f64 (-.f64 (pow.f64 (*.f64 (+.f64 n 1) (log1p.f64 n)) 2) (pow.f64 (fma.f64 n (log.f64 n) 1) 2)) (/.f64 1 (fma.f64 (+.f64 n 1) (log1p.f64 n) (fma.f64 n (log.f64 n) 1))))
(*.f64 (+.f64 (pow.f64 (-.f64 (*.f64 (+.f64 n 1) (log1p.f64 n)) (*.f64 n (log.f64 n))) 2) -1) (/.f64 1 (-.f64 (*.f64 (+.f64 n 1) (log1p.f64 n)) (fma.f64 n (log.f64 n) -1))))
(*.f64 (+.f64 (sqrt.f64 (*.f64 (+.f64 n 1) (log1p.f64 n))) (sqrt.f64 (fma.f64 n (log.f64 n) 1))) (-.f64 (sqrt.f64 (*.f64 (+.f64 n 1) (log1p.f64 n))) (sqrt.f64 (fma.f64 n (log.f64 n) 1))))
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(log.f64 (pow.f64 (+.f64 n 1) (+.f64 n 1)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (+.f64 n 1) (log1p.f64 n)))))
(cbrt.f64 (pow.f64 (*.f64 (+.f64 n 1) (log1p.f64 n)) 3))
(expm1.f64 (log1p.f64 (*.f64 (+.f64 n 1) (log1p.f64 n))))
(exp.f64 (+.f64 (log1p.f64 n) (log.f64 (log1p.f64 n))))
(exp.f64 (*.f64 (+.f64 (log1p.f64 n) (log.f64 (log1p.f64 n))) 1))
(log1p.f64 (expm1.f64 (*.f64 (+.f64 n 1) (log1p.f64 n))))
(+.f64 -1 (-.f64 (*.f64 (+.f64 n 1) (log1p.f64 n)) (*.f64 n (log.f64 n))))
(+.f64 (*.f64 (+.f64 n 1) (log1p.f64 n)) (neg.f64 (fma.f64 n (log.f64 n) 1)))
(+.f64 (*.f64 (+.f64 n 1) (log1p.f64 n)) (*.f64 (neg.f64 (fma.f64 n (log.f64 n) 1)) 1))
(+.f64 (*.f64 (+.f64 n 1) (log1p.f64 n)) (fma.f64 (log.f64 n) (neg.f64 n) -1))
(+.f64 (-.f64 (*.f64 (+.f64 n 1) (log1p.f64 n)) (fma.f64 n (log.f64 n) 1)) (fma.f64 (neg.f64 (fma.f64 n (log.f64 n) 1)) 1 (fma.f64 n (log.f64 n) 1)))
(+.f64 (-.f64 (*.f64 (+.f64 n 1) (log1p.f64 n)) (fma.f64 n (log.f64 n) 1)) (fma.f64 (neg.f64 (cbrt.f64 (fma.f64 n (log.f64 n) 1))) (pow.f64 (cbrt.f64 (fma.f64 n (log.f64 n) 1)) 2) (fma.f64 n (log.f64 n) 1)))
(+.f64 (-.f64 (*.f64 (+.f64 n 1) (log1p.f64 n)) (fma.f64 n (log.f64 n) 1)) (+.f64 (neg.f64 (fma.f64 n (log.f64 n) 1)) (fma.f64 n (log.f64 n) 1)))
(+.f64 (-.f64 (*.f64 (+.f64 n 1) (log1p.f64 n)) (*.f64 n (log.f64 n))) -1)
(+.f64 (-.f64 (*.f64 (+.f64 n 1) (log1p.f64 n)) (*.f64 n (log.f64 n))) (+.f64 (fma.f64 (neg.f64 n) (log.f64 n) (*.f64 n (log.f64 n))) -1))
(+.f64 (-.f64 (*.f64 (+.f64 n 1) (log1p.f64 n)) (*.f64 n (log.f64 n))) (-.f64 (fma.f64 (neg.f64 n) (log.f64 n) (*.f64 n (log.f64 n))) 1))
(+.f64 (neg.f64 (fma.f64 n (log.f64 n) 1)) (*.f64 (+.f64 n 1) (log1p.f64 n)))
(*.f64 1 (-.f64 (*.f64 (+.f64 n 1) (log1p.f64 n)) (fma.f64 n (log.f64 n) 1)))
(*.f64 (-.f64 (*.f64 (+.f64 n 1) (log1p.f64 n)) (fma.f64 n (log.f64 n) 1)) 1)
(*.f64 (cbrt.f64 (-.f64 (*.f64 (+.f64 n 1) (log1p.f64 n)) (fma.f64 n (log.f64 n) 1))) (pow.f64 (cbrt.f64 (-.f64 (*.f64 (+.f64 n 1) (log1p.f64 n)) (fma.f64 n (log.f64 n) 1))) 2))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 (*.f64 (+.f64 n 1) (log1p.f64 n)) (fma.f64 n (log.f64 n) 1))) 2) (cbrt.f64 (-.f64 (*.f64 (+.f64 n 1) (log1p.f64 n)) (fma.f64 n (log.f64 n) 1))))
(*.f64 (sqrt.f64 (-.f64 (*.f64 (+.f64 n 1) (log1p.f64 n)) (fma.f64 n (log.f64 n) 1))) (sqrt.f64 (-.f64 (*.f64 (+.f64 n 1) (log1p.f64 n)) (fma.f64 n (log.f64 n) 1))))
(*.f64 (-.f64 (pow.f64 (*.f64 (+.f64 n 1) (log1p.f64 n)) 3) (pow.f64 (fma.f64 n (log.f64 n) 1) 3)) (/.f64 1 (+.f64 (pow.f64 (*.f64 (+.f64 n 1) (log1p.f64 n)) 2) (*.f64 (fma.f64 n (log.f64 n) 1) (fma.f64 (+.f64 n 1) (log1p.f64 n) (fma.f64 n (log.f64 n) 1))))))
(*.f64 (+.f64 (pow.f64 (-.f64 (*.f64 (+.f64 n 1) (log1p.f64 n)) (*.f64 n (log.f64 n))) 3) -1) (/.f64 1 (+.f64 (pow.f64 (-.f64 (*.f64 (+.f64 n 1) (log1p.f64 n)) (*.f64 n (log.f64 n))) 2) (-.f64 (*.f64 (+.f64 n 1) (log1p.f64 n)) (fma.f64 n (log.f64 n) -1)))))
(*.f64 (-.f64 (pow.f64 (*.f64 (+.f64 n 1) (log1p.f64 n)) 2) (pow.f64 (fma.f64 n (log.f64 n) 1) 2)) (/.f64 1 (fma.f64 (+.f64 n 1) (log1p.f64 n) (fma.f64 n (log.f64 n) 1))))
(*.f64 (+.f64 (pow.f64 (-.f64 (*.f64 (+.f64 n 1) (log1p.f64 n)) (*.f64 n (log.f64 n))) 2) -1) (/.f64 1 (-.f64 (*.f64 (+.f64 n 1) (log1p.f64 n)) (fma.f64 n (log.f64 n) -1))))
(*.f64 (+.f64 (sqrt.f64 (*.f64 (+.f64 n 1) (log1p.f64 n))) (sqrt.f64 (fma.f64 n (log.f64 n) 1))) (-.f64 (sqrt.f64 (*.f64 (+.f64 n 1) (log1p.f64 n))) (sqrt.f64 (fma.f64 n (log.f64 n) 1))))
(*.f64 (+.f64 (sqrt.f64 (-.f64 (*.f64 (+.f64 n 1) (log1p.f64 n)) (*.f64 n (log.f64 n)))) 1) (-.f64 (sqrt.f64 (-.f64 (*.f64 (+.f64 n 1) (log1p.f64 n)) (*.f64 n (log.f64 n)))) 1))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (*.f64 (+.f64 n 1) (log1p.f64 n)) 2) (*.f64 (fma.f64 n (log.f64 n) 1) (fma.f64 (+.f64 n 1) (log1p.f64 n) (fma.f64 n (log.f64 n) 1)))) (-.f64 (pow.f64 (*.f64 (+.f64 n 1) (log1p.f64 n)) 3) (pow.f64 (fma.f64 n (log.f64 n) 1) 3))))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (-.f64 (*.f64 (+.f64 n 1) (log1p.f64 n)) (*.f64 n (log.f64 n))) 2) (-.f64 (*.f64 (+.f64 n 1) (log1p.f64 n)) (fma.f64 n (log.f64 n) -1))) (+.f64 (pow.f64 (-.f64 (*.f64 (+.f64 n 1) (log1p.f64 n)) (*.f64 n (log.f64 n))) 3) -1)))
(/.f64 1 (/.f64 (fma.f64 (+.f64 n 1) (log1p.f64 n) (fma.f64 n (log.f64 n) 1)) (-.f64 (pow.f64 (*.f64 (+.f64 n 1) (log1p.f64 n)) 2) (pow.f64 (fma.f64 n (log.f64 n) 1) 2))))
(/.f64 1 (/.f64 (-.f64 (*.f64 (+.f64 n 1) (log1p.f64 n)) (fma.f64 n (log.f64 n) -1)) (+.f64 (pow.f64 (-.f64 (*.f64 (+.f64 n 1) (log1p.f64 n)) (*.f64 n (log.f64 n))) 2) -1)))
(/.f64 (-.f64 (pow.f64 (*.f64 (+.f64 n 1) (log1p.f64 n)) 3) (pow.f64 (fma.f64 n (log.f64 n) 1) 3)) (+.f64 (pow.f64 (*.f64 (+.f64 n 1) (log1p.f64 n)) 2) (*.f64 (fma.f64 n (log.f64 n) 1) (fma.f64 (+.f64 n 1) (log1p.f64 n) (fma.f64 n (log.f64 n) 1)))))
(/.f64 (+.f64 (pow.f64 (-.f64 (*.f64 (+.f64 n 1) (log1p.f64 n)) (*.f64 n (log.f64 n))) 3) -1) (+.f64 (pow.f64 (-.f64 (*.f64 (+.f64 n 1) (log1p.f64 n)) (*.f64 n (log.f64 n))) 2) (-.f64 (*.f64 (+.f64 n 1) (log1p.f64 n)) (fma.f64 n (log.f64 n) -1))))
(/.f64 (+.f64 (pow.f64 (-.f64 (*.f64 (+.f64 n 1) (log1p.f64 n)) (*.f64 n (log.f64 n))) 3) -1) (+.f64 (pow.f64 (-.f64 (*.f64 (+.f64 n 1) (log1p.f64 n)) (*.f64 n (log.f64 n))) 2) (-.f64 1 (*.f64 (-.f64 (*.f64 (+.f64 n 1) (log1p.f64 n)) (*.f64 n (log.f64 n))) -1))))
(/.f64 (-.f64 (pow.f64 (*.f64 (+.f64 n 1) (log1p.f64 n)) 2) (pow.f64 (fma.f64 n (log.f64 n) 1) 2)) (fma.f64 (+.f64 n 1) (log1p.f64 n) (fma.f64 n (log.f64 n) 1)))
(/.f64 (+.f64 (pow.f64 (-.f64 (*.f64 (+.f64 n 1) (log1p.f64 n)) (*.f64 n (log.f64 n))) 2) -1) (-.f64 (*.f64 (+.f64 n 1) (log1p.f64 n)) (fma.f64 n (log.f64 n) -1)))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (+.f64 n 1) (log1p.f64 n)) 3) (pow.f64 (fma.f64 n (log.f64 n) 1) 3))) (neg.f64 (+.f64 (pow.f64 (*.f64 (+.f64 n 1) (log1p.f64 n)) 2) (*.f64 (fma.f64 n (log.f64 n) 1) (fma.f64 (+.f64 n 1) (log1p.f64 n) (fma.f64 n (log.f64 n) 1))))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (-.f64 (*.f64 (+.f64 n 1) (log1p.f64 n)) (*.f64 n (log.f64 n))) 3) -1)) (neg.f64 (+.f64 (pow.f64 (-.f64 (*.f64 (+.f64 n 1) (log1p.f64 n)) (*.f64 n (log.f64 n))) 2) (-.f64 (*.f64 (+.f64 n 1) (log1p.f64 n)) (fma.f64 n (log.f64 n) -1)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (+.f64 n 1) (log1p.f64 n)) 2) (pow.f64 (fma.f64 n (log.f64 n) 1) 2))) (neg.f64 (fma.f64 (+.f64 n 1) (log1p.f64 n) (fma.f64 n (log.f64 n) 1))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (-.f64 (*.f64 (+.f64 n 1) (log1p.f64 n)) (*.f64 n (log.f64 n))) 2) -1)) (neg.f64 (-.f64 (*.f64 (+.f64 n 1) (log1p.f64 n)) (fma.f64 n (log.f64 n) -1))))
(/.f64 (+.f64 (pow.f64 (*.f64 (+.f64 n 1) (log1p.f64 n)) 3) (pow.f64 (neg.f64 (fma.f64 n (log.f64 n) 1)) 3)) (+.f64 (pow.f64 (*.f64 (+.f64 n 1) (log1p.f64 n)) 2) (-.f64 (*.f64 (neg.f64 (fma.f64 n (log.f64 n) 1)) (neg.f64 (fma.f64 n (log.f64 n) 1))) (*.f64 (*.f64 (+.f64 n 1) (log1p.f64 n)) (neg.f64 (fma.f64 n (log.f64 n) 1))))))
(/.f64 (-.f64 (pow.f64 (*.f64 (+.f64 n 1) (log1p.f64 n)) 2) (*.f64 (neg.f64 (fma.f64 n (log.f64 n) 1)) (neg.f64 (fma.f64 n (log.f64 n) 1)))) (-.f64 (*.f64 (+.f64 n 1) (log1p.f64 n)) (neg.f64 (fma.f64 n (log.f64 n) 1))))
(pow.f64 (-.f64 (*.f64 (+.f64 n 1) (log1p.f64 n)) (fma.f64 n (log.f64 n) 1)) 1)
(pow.f64 (cbrt.f64 (-.f64 (*.f64 (+.f64 n 1) (log1p.f64 n)) (fma.f64 n (log.f64 n) 1))) 3)
(pow.f64 (pow.f64 (-.f64 (*.f64 (+.f64 n 1) (log1p.f64 n)) (fma.f64 n (log.f64 n) 1)) 3) 1/3)
(pow.f64 (sqrt.f64 (-.f64 (*.f64 (+.f64 n 1) (log1p.f64 n)) (fma.f64 n (log.f64 n) 1))) 2)
(sqrt.f64 (pow.f64 (-.f64 (*.f64 (+.f64 n 1) (log1p.f64 n)) (fma.f64 n (log.f64 n) 1)) 2))
(log.f64 (/.f64 (pow.f64 (+.f64 n 1) (+.f64 n 1)) (*.f64 (pow.f64 n n) (E.f64))))
(log.f64 (+.f64 1 (expm1.f64 (-.f64 (*.f64 (+.f64 n 1) (log1p.f64 n)) (fma.f64 n (log.f64 n) 1)))))
(log.f64 (*.f64 (pow.f64 (+.f64 n 1) (+.f64 n 1)) (/.f64 1 (*.f64 (pow.f64 n n) (E.f64)))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 (+.f64 n 1) (log1p.f64 n)))) (exp.f64 (neg.f64 (fma.f64 n (log.f64 n) 1)))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 (+.f64 n 1) (log1p.f64 n)))) (/.f64 1 (*.f64 (pow.f64 n n) (E.f64)))))
(log.f64 (*.f64 (exp.f64 (neg.f64 (fma.f64 n (log.f64 n) 1))) (pow.f64 (+.f64 n 1) (+.f64 n 1))))
(log.f64 (*.f64 (exp.f64 (neg.f64 (fma.f64 n (log.f64 n) 1))) (+.f64 1 (expm1.f64 (*.f64 (+.f64 n 1) (log1p.f64 n))))))
(log.f64 (*.f64 (/.f64 1 (*.f64 (pow.f64 n n) (E.f64))) (pow.f64 (+.f64 n 1) (+.f64 n 1))))
(log.f64 (*.f64 (/.f64 1 (*.f64 (pow.f64 n n) (E.f64))) (+.f64 1 (expm1.f64 (*.f64 (+.f64 n 1) (log1p.f64 n))))))
(log.f64 (/.f64 (pow.f64 (+.f64 n 1) (+.f64 n 1)) (+.f64 1 (expm1.f64 (fma.f64 n (log.f64 n) 1)))))
(log.f64 (/.f64 (+.f64 1 (expm1.f64 (*.f64 (+.f64 n 1) (log1p.f64 n)))) (*.f64 (pow.f64 n n) (E.f64))))
(log.f64 (/.f64 (+.f64 1 (expm1.f64 (*.f64 (+.f64 n 1) (log1p.f64 n)))) (+.f64 1 (expm1.f64 (fma.f64 n (log.f64 n) 1)))))
(cbrt.f64 (pow.f64 (-.f64 (*.f64 (+.f64 n 1) (log1p.f64 n)) (fma.f64 n (log.f64 n) 1)) 3))
(expm1.f64 (log.f64 (-.f64 (*.f64 (+.f64 n 1) (log1p.f64 n)) (*.f64 n (log.f64 n)))))
(expm1.f64 (*.f64 (log.f64 (-.f64 (*.f64 (+.f64 n 1) (log1p.f64 n)) (*.f64 n (log.f64 n)))) 1))
(exp.f64 (log.f64 (-.f64 (*.f64 (+.f64 n 1) (log1p.f64 n)) (fma.f64 n (log.f64 n) 1))))
(exp.f64 (*.f64 (log.f64 (-.f64 (*.f64 (+.f64 n 1) (log1p.f64 n)) (fma.f64 n (log.f64 n) 1))) 1))
(log1p.f64 (expm1.f64 (-.f64 (*.f64 (+.f64 n 1) (log1p.f64 n)) (fma.f64 n (log.f64 n) 1))))
(fma.f64 1 (*.f64 (+.f64 n 1) (log1p.f64 n)) (neg.f64 (fma.f64 n (log.f64 n) 1)))
(fma.f64 1 (-.f64 (*.f64 (+.f64 n 1) (log1p.f64 n)) (*.f64 n (log.f64 n))) -1)
(fma.f64 (+.f64 n 1) (log1p.f64 n) (neg.f64 (fma.f64 n (log.f64 n) 1)))
(fma.f64 (log1p.f64 n) (+.f64 n 1) (neg.f64 (fma.f64 n (log.f64 n) 1)))
(fma.f64 (*.f64 (+.f64 n 1) (log1p.f64 n)) 1 (neg.f64 (fma.f64 n (log.f64 n) 1)))
(fma.f64 (-.f64 (*.f64 (+.f64 n 1) (log1p.f64 n)) (*.f64 n (log.f64 n))) 1 -1)
(fma.f64 (cbrt.f64 (-.f64 (*.f64 (+.f64 n 1) (log1p.f64 n)) (*.f64 n (log.f64 n)))) (pow.f64 (cbrt.f64 (-.f64 (*.f64 (+.f64 n 1) (log1p.f64 n)) (*.f64 n (log.f64 n)))) 2) -1)
(fma.f64 (pow.f64 (cbrt.f64 (-.f64 (*.f64 (+.f64 n 1) (log1p.f64 n)) (*.f64 n (log.f64 n)))) 2) (cbrt.f64 (-.f64 (*.f64 (+.f64 n 1) (log1p.f64 n)) (*.f64 n (log.f64 n)))) -1)
(fma.f64 (pow.f64 (cbrt.f64 (-.f64 (*.f64 (+.f64 n 1) (log1p.f64 n)) (*.f64 n (log.f64 n)))) 2) (*.f64 (cbrt.f64 (-.f64 (*.f64 (+.f64 n 1) (log1p.f64 n)) (*.f64 n (log.f64 n)))) 1) -1)
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 n 1)) 2) (*.f64 (cbrt.f64 (+.f64 n 1)) (log1p.f64 n)) (neg.f64 (fma.f64 n (log.f64 n) 1)))
(fma.f64 (cbrt.f64 (*.f64 (+.f64 n 1) (log1p.f64 n))) (pow.f64 (cbrt.f64 (*.f64 (+.f64 n 1) (log1p.f64 n))) 2) (neg.f64 (fma.f64 n (log.f64 n) 1)))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 (+.f64 n 1) (log1p.f64 n))) 2) (cbrt.f64 (*.f64 (+.f64 n 1) (log1p.f64 n))) (neg.f64 (fma.f64 n (log.f64 n) 1)))
(fma.f64 (cbrt.f64 (pow.f64 (log1p.f64 n) 2)) (*.f64 (cbrt.f64 (log1p.f64 n)) (+.f64 n 1)) (neg.f64 (fma.f64 n (log.f64 n) 1)))
(fma.f64 (sqrt.f64 (-.f64 (*.f64 (+.f64 n 1) (log1p.f64 n)) (*.f64 n (log.f64 n)))) (sqrt.f64 (-.f64 (*.f64 (+.f64 n 1) (log1p.f64 n)) (*.f64 n (log.f64 n)))) -1)
(fma.f64 (sqrt.f64 (-.f64 (*.f64 (+.f64 n 1) (log1p.f64 n)) (*.f64 n (log.f64 n)))) (*.f64 (sqrt.f64 (-.f64 (*.f64 (+.f64 n 1) (log1p.f64 n)) (*.f64 n (log.f64 n)))) 1) -1)
(fma.f64 (sqrt.f64 (+.f64 n 1)) (*.f64 (sqrt.f64 (+.f64 n 1)) (log1p.f64 n)) (neg.f64 (fma.f64 n (log.f64 n) 1)))
(fma.f64 (sqrt.f64 (*.f64 (+.f64 n 1) (log1p.f64 n))) (sqrt.f64 (*.f64 (+.f64 n 1) (log1p.f64 n))) (neg.f64 (fma.f64 n (log.f64 n) 1)))
(fma.f64 (sqrt.f64 (log1p.f64 n)) (*.f64 (sqrt.f64 (log1p.f64 n)) (+.f64 n 1)) (neg.f64 (fma.f64 n (log.f64 n) 1)))
(fma.f64 (-.f64 (pow.f64 (*.f64 (+.f64 n 1) (log1p.f64 n)) 3) (pow.f64 (*.f64 n (log.f64 n)) 3)) (/.f64 1 (+.f64 (pow.f64 (*.f64 (+.f64 n 1) (log1p.f64 n)) 2) (*.f64 (*.f64 n (log.f64 n)) (fma.f64 (+.f64 n 1) (log1p.f64 n) (*.f64 n (log.f64 n)))))) -1)
(fma.f64 (-.f64 (pow.f64 (*.f64 (+.f64 n 1) (log1p.f64 n)) 2) (pow.f64 (*.f64 n (log.f64 n)) 2)) (/.f64 1 (fma.f64 (+.f64 n 1) (log1p.f64 n) (*.f64 n (log.f64 n)))) -1)
(fma.f64 (+.f64 (sqrt.f64 (*.f64 (+.f64 n 1) (log1p.f64 n))) (sqrt.f64 (*.f64 n (log.f64 n)))) (-.f64 (sqrt.f64 (*.f64 (+.f64 n 1) (log1p.f64 n))) (sqrt.f64 (*.f64 n (log.f64 n)))) -1)
(fma.f64 (*.f64 (+.f64 n 1) (cbrt.f64 (pow.f64 (log1p.f64 n) 2))) (cbrt.f64 (log1p.f64 n)) (neg.f64 (fma.f64 n (log.f64 n) 1)))
(fma.f64 (*.f64 (+.f64 n 1) (sqrt.f64 (log1p.f64 n))) (sqrt.f64 (log1p.f64 n)) (neg.f64 (fma.f64 n (log.f64 n) 1)))
(fma.f64 (*.f64 (log1p.f64 n) (pow.f64 (cbrt.f64 (+.f64 n 1)) 2)) (cbrt.f64 (+.f64 n 1)) (neg.f64 (fma.f64 n (log.f64 n) 1)))
(fma.f64 (*.f64 (log1p.f64 n) (sqrt.f64 (+.f64 n 1))) (sqrt.f64 (+.f64 n 1)) (neg.f64 (fma.f64 n (log.f64 n) 1)))

simplify294.0ms (3.6%)

Algorithm
egg-herbie
Rules
1202×fma-def
736×log-prod
568×associate-*r*
536×associate-*l*
514×+-commutative
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
071222284
1189020390
2707819242
Stop Event
node limit
Counts
514 → 539
Calls
Call 1
Inputs
-1
(-.f64 (*.f64 -1 (*.f64 n (log.f64 n))) 1)
(-.f64 (+.f64 (*.f64 -1 (*.f64 n (log.f64 n))) (pow.f64 n 2)) 1)
(-.f64 (+.f64 (*.f64 -1 (*.f64 n (log.f64 n))) (+.f64 (*.f64 -1/2 (pow.f64 n 3)) (pow.f64 n 2))) 1)
(/.f64 -1/2 n)
(-.f64 (*.f64 1/3 (/.f64 1 (pow.f64 n 2))) (*.f64 1/2 (/.f64 1 n)))
(-.f64 (*.f64 1/3 (/.f64 1 (pow.f64 n 2))) (+.f64 (*.f64 1/4 (/.f64 1 (pow.f64 n 3))) (*.f64 1/2 (/.f64 1 n))))
(-.f64 (+.f64 (*.f64 1/5 (/.f64 1 (pow.f64 n 4))) (*.f64 1/3 (/.f64 1 (pow.f64 n 2)))) (+.f64 (*.f64 1/4 (/.f64 1 (pow.f64 n 3))) (*.f64 1/2 (/.f64 1 n))))
(/.f64 -1/2 n)
(-.f64 (*.f64 1/3 (/.f64 1 (pow.f64 n 2))) (*.f64 1/2 (/.f64 1 n)))
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(fma.f64 (sqrt.f64 (-.f64 (*.f64 (+.f64 n 1) (log1p.f64 n)) (*.f64 n (log.f64 n)))) (sqrt.f64 (-.f64 (*.f64 (+.f64 n 1) (log1p.f64 n)) (*.f64 n (log.f64 n)))) -1)
(fma.f64 (sqrt.f64 (-.f64 (*.f64 (+.f64 n 1) (log1p.f64 n)) (*.f64 n (log.f64 n)))) (*.f64 (sqrt.f64 (-.f64 (*.f64 (+.f64 n 1) (log1p.f64 n)) (*.f64 n (log.f64 n)))) 1) -1)
(fma.f64 (sqrt.f64 (+.f64 n 1)) (*.f64 (sqrt.f64 (+.f64 n 1)) (log1p.f64 n)) (neg.f64 (fma.f64 n (log.f64 n) 1)))
(fma.f64 (sqrt.f64 (*.f64 (+.f64 n 1) (log1p.f64 n))) (sqrt.f64 (*.f64 (+.f64 n 1) (log1p.f64 n))) (neg.f64 (fma.f64 n (log.f64 n) 1)))
(fma.f64 (sqrt.f64 (log1p.f64 n)) (*.f64 (sqrt.f64 (log1p.f64 n)) (+.f64 n 1)) (neg.f64 (fma.f64 n (log.f64 n) 1)))
(fma.f64 (-.f64 (pow.f64 (*.f64 (+.f64 n 1) (log1p.f64 n)) 3) (pow.f64 (*.f64 n (log.f64 n)) 3)) (/.f64 1 (+.f64 (pow.f64 (*.f64 (+.f64 n 1) (log1p.f64 n)) 2) (*.f64 (*.f64 n (log.f64 n)) (fma.f64 (+.f64 n 1) (log1p.f64 n) (*.f64 n (log.f64 n)))))) -1)
(fma.f64 (-.f64 (pow.f64 (*.f64 (+.f64 n 1) (log1p.f64 n)) 2) (pow.f64 (*.f64 n (log.f64 n)) 2)) (/.f64 1 (fma.f64 (+.f64 n 1) (log1p.f64 n) (*.f64 n (log.f64 n)))) -1)
(fma.f64 (+.f64 (sqrt.f64 (*.f64 (+.f64 n 1) (log1p.f64 n))) (sqrt.f64 (*.f64 n (log.f64 n)))) (-.f64 (sqrt.f64 (*.f64 (+.f64 n 1) (log1p.f64 n))) (sqrt.f64 (*.f64 n (log.f64 n)))) -1)
(fma.f64 (*.f64 (+.f64 n 1) (cbrt.f64 (pow.f64 (log1p.f64 n) 2))) (cbrt.f64 (log1p.f64 n)) (neg.f64 (fma.f64 n (log.f64 n) 1)))
(fma.f64 (*.f64 (+.f64 n 1) (sqrt.f64 (log1p.f64 n))) (sqrt.f64 (log1p.f64 n)) (neg.f64 (fma.f64 n (log.f64 n) 1)))
(fma.f64 (*.f64 (log1p.f64 n) (pow.f64 (cbrt.f64 (+.f64 n 1)) 2)) (cbrt.f64 (+.f64 n 1)) (neg.f64 (fma.f64 n (log.f64 n) 1)))
(fma.f64 (*.f64 (log1p.f64 n) (sqrt.f64 (+.f64 n 1))) (sqrt.f64 (+.f64 n 1)) (neg.f64 (fma.f64 n (log.f64 n) 1)))
Outputs
-1
(-.f64 (*.f64 -1 (*.f64 n (log.f64 n))) 1)
(fma.f64 -1 (*.f64 n (log.f64 n)) -1)
(neg.f64 (fma.f64 n (log.f64 n) 1))
(-.f64 (+.f64 (*.f64 -1 (*.f64 n (log.f64 n))) (pow.f64 n 2)) 1)
(+.f64 (fma.f64 -1 (*.f64 n (log.f64 n)) (*.f64 n n)) -1)
(+.f64 -1 (*.f64 n (-.f64 n (log.f64 n))))
(-.f64 (+.f64 (*.f64 -1 (*.f64 n (log.f64 n))) (+.f64 (*.f64 -1/2 (pow.f64 n 3)) (pow.f64 n 2))) 1)
(+.f64 (fma.f64 -1 (*.f64 n (log.f64 n)) (fma.f64 -1/2 (pow.f64 n 3) (*.f64 n n))) -1)
(+.f64 -1 (+.f64 (*.f64 n (-.f64 n (log.f64 n))) (*.f64 -1/2 (pow.f64 n 3))))
(/.f64 -1/2 n)
(-.f64 (*.f64 1/3 (/.f64 1 (pow.f64 n 2))) (*.f64 1/2 (/.f64 1 n)))
(-.f64 (/.f64 1/3 (*.f64 n n)) (/.f64 1/2 n))
(+.f64 (/.f64 (/.f64 1/3 n) n) (/.f64 -1/2 n))
(-.f64 (*.f64 1/3 (/.f64 1 (pow.f64 n 2))) (+.f64 (*.f64 1/4 (/.f64 1 (pow.f64 n 3))) (*.f64 1/2 (/.f64 1 n))))
(-.f64 (/.f64 1/3 (*.f64 n n)) (+.f64 (/.f64 1/2 n) (/.f64 1/4 (pow.f64 n 3))))
(+.f64 (-.f64 (/.f64 (/.f64 1/3 n) n) (/.f64 1/4 (pow.f64 n 3))) (/.f64 -1/2 n))
(-.f64 (+.f64 (*.f64 1/5 (/.f64 1 (pow.f64 n 4))) (*.f64 1/3 (/.f64 1 (pow.f64 n 2)))) (+.f64 (*.f64 1/4 (/.f64 1 (pow.f64 n 3))) (*.f64 1/2 (/.f64 1 n))))
(+.f64 (/.f64 1/5 (pow.f64 n 4)) (-.f64 (/.f64 1/3 (*.f64 n n)) (+.f64 (/.f64 1/2 n) (/.f64 1/4 (pow.f64 n 3)))))
(+.f64 (/.f64 (/.f64 1/3 n) n) (-.f64 (/.f64 1/5 (pow.f64 n 4)) (+.f64 (/.f64 1/2 n) (/.f64 1/4 (pow.f64 n 3)))))
(/.f64 -1/2 n)
(-.f64 (*.f64 1/3 (/.f64 1 (pow.f64 n 2))) (*.f64 1/2 (/.f64 1 n)))
(-.f64 (/.f64 1/3 (*.f64 n n)) (/.f64 1/2 n))
(+.f64 (/.f64 (/.f64 1/3 n) n) (/.f64 -1/2 n))
(-.f64 (*.f64 1/3 (/.f64 1 (pow.f64 n 2))) (+.f64 (*.f64 1/4 (/.f64 1 (pow.f64 n 3))) (*.f64 1/2 (/.f64 1 n))))
(-.f64 (/.f64 1/3 (*.f64 n n)) (+.f64 (/.f64 1/2 n) (/.f64 1/4 (pow.f64 n 3))))
(+.f64 (-.f64 (/.f64 (/.f64 1/3 n) n) (/.f64 1/4 (pow.f64 n 3))) (/.f64 -1/2 n))
(-.f64 (+.f64 (*.f64 1/5 (/.f64 1 (pow.f64 n 4))) (*.f64 1/3 (/.f64 1 (pow.f64 n 2)))) (+.f64 (*.f64 1/4 (/.f64 1 (pow.f64 n 3))) (*.f64 1/2 (/.f64 1 n))))
(+.f64 (/.f64 1/5 (pow.f64 n 4)) (-.f64 (/.f64 1/3 (*.f64 n n)) (+.f64 (/.f64 1/2 n) (/.f64 1/4 (pow.f64 n 3)))))
(+.f64 (/.f64 (/.f64 1/3 n) n) (-.f64 (/.f64 1/5 (pow.f64 n 4)) (+.f64 (/.f64 1/2 n) (/.f64 1/4 (pow.f64 n 3)))))
(*.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 (*.f64 n n) -1/2)))
(+.f64 (*.f64 n (*.f64 n -1/2)) (-.f64 n (log.f64 n)))
(+.f64 n (+.f64 (*.f64 -1 (log.f64 n)) (+.f64 (*.f64 -1/2 (pow.f64 n 2)) (*.f64 1/3 (pow.f64 n 3)))))
(+.f64 n (fma.f64 -1 (log.f64 n) (fma.f64 -1/2 (*.f64 n n) (*.f64 (pow.f64 n 3) 1/3))))
(+.f64 (fma.f64 (*.f64 n n) -1/2 (*.f64 (pow.f64 n 3) 1/3)) (-.f64 n (log.f64 n)))
(/.f64 1 n)
(-.f64 (/.f64 1 n) (*.f64 1/2 (/.f64 1 (pow.f64 n 2))))
(-.f64 (/.f64 1 n) (/.f64 1/2 (*.f64 n n)))
(-.f64 (/.f64 1 n) (/.f64 (/.f64 1/2 n) n))
(-.f64 (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 n 3))) (/.f64 1 n)) (*.f64 1/2 (/.f64 1 (pow.f64 n 2))))
(-.f64 (+.f64 (/.f64 1 n) (/.f64 1/3 (pow.f64 n 3))) (/.f64 1/2 (*.f64 n n)))
(+.f64 (/.f64 1 n) (-.f64 (/.f64 1/3 (pow.f64 n 3)) (/.f64 (/.f64 1/2 n) n)))
(-.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 (*.f64 n n)) (/.f64 1/4 (pow.f64 n 4))))
(+.f64 (/.f64 1 n) (-.f64 (/.f64 1/3 (pow.f64 n 3)) (+.f64 (/.f64 (/.f64 1/2 n) n) (/.f64 1/4 (pow.f64 n 4)))))
(/.f64 1 n)
(-.f64 (/.f64 1 n) (*.f64 1/2 (/.f64 1 (pow.f64 n 2))))
(-.f64 (/.f64 1 n) (/.f64 1/2 (*.f64 n n)))
(-.f64 (/.f64 1 n) (/.f64 (/.f64 1/2 n) n))
(-.f64 (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 n 3))) (/.f64 1 n)) (*.f64 1/2 (/.f64 1 (pow.f64 n 2))))
(-.f64 (+.f64 (/.f64 1 n) (/.f64 1/3 (pow.f64 n 3))) (/.f64 1/2 (*.f64 n n)))
(+.f64 (/.f64 1 n) (-.f64 (/.f64 1/3 (pow.f64 n 3)) (/.f64 (/.f64 1/2 n) n)))
(-.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 (*.f64 n n)) (/.f64 1/4 (pow.f64 n 4))))
(+.f64 (/.f64 1 n) (-.f64 (/.f64 1/3 (pow.f64 n 3)) (+.f64 (/.f64 (/.f64 1/2 n) n) (/.f64 1/4 (pow.f64 n 4)))))
-1
(-.f64 (*.f64 n (-.f64 1 (log.f64 n))) 1)
(fma.f64 n (-.f64 1 (log.f64 n)) -1)
(-.f64 (+.f64 (*.f64 1/2 (pow.f64 n 2)) (*.f64 n (-.f64 1 (log.f64 n)))) 1)
(+.f64 (*.f64 (*.f64 n n) 1/2) (fma.f64 n (-.f64 1 (log.f64 n)) -1))
(fma.f64 (*.f64 n n) 1/2 (fma.f64 n (-.f64 1 (log.f64 n)) -1))
(-.f64 (+.f64 (*.f64 -1/6 (pow.f64 n 3)) (+.f64 (*.f64 1/2 (pow.f64 n 2)) (*.f64 n (-.f64 1 (log.f64 n))))) 1)
(+.f64 (fma.f64 -1/6 (pow.f64 n 3) (fma.f64 1/2 (*.f64 n n) (*.f64 n (-.f64 1 (log.f64 n))))) -1)
(fma.f64 (pow.f64 n 3) -1/6 (fma.f64 (*.f64 n n) 1/2 (fma.f64 n (-.f64 1 (log.f64 n)) -1)))
(*.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 1/2 (/.f64 1 n)))
(fma.f64 -1 (neg.f64 (log.f64 n)) (/.f64 1/2 n))
(+.f64 (log.f64 n) (/.f64 1/2 n))
(-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 n))) (*.f64 1/2 (/.f64 1 n))) (*.f64 1/6 (/.f64 1 (pow.f64 n 2))))
(-.f64 (fma.f64 -1 (neg.f64 (log.f64 n)) (/.f64 1/2 n)) (/.f64 1/6 (*.f64 n n)))
(+.f64 (log.f64 n) (-.f64 (/.f64 1/2 n) (/.f64 (/.f64 1/6 n) n)))
(-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 n))) (+.f64 (*.f64 1/12 (/.f64 1 (pow.f64 n 3))) (*.f64 1/2 (/.f64 1 n)))) (*.f64 1/6 (/.f64 1 (pow.f64 n 2))))
(-.f64 (fma.f64 -1 (neg.f64 (log.f64 n)) (+.f64 (/.f64 1/2 n) (/.f64 1/12 (pow.f64 n 3)))) (/.f64 1/6 (*.f64 n n)))
(+.f64 (log.f64 n) (+.f64 (/.f64 1/12 (pow.f64 n 3)) (-.f64 (/.f64 1/2 n) (/.f64 (/.f64 1/6 n) n))))
(+.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 1/2 (/.f64 1 n))))
(+.f64 (log.f64 -1) (fma.f64 -1 (log.f64 (/.f64 -1 n)) (/.f64 1/2 n)))
(+.f64 (/.f64 1/2 n) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 n))))
(-.f64 (+.f64 (log.f64 -1) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 n))) (*.f64 1/2 (/.f64 1 n)))) (*.f64 1/6 (/.f64 1 (pow.f64 n 2))))
(+.f64 (log.f64 -1) (-.f64 (fma.f64 -1 (log.f64 (/.f64 -1 n)) (/.f64 1/2 n)) (/.f64 1/6 (*.f64 n n))))
(+.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 n))) (-.f64 (/.f64 1/2 n) (/.f64 (/.f64 1/6 n) n)))
(-.f64 (+.f64 (log.f64 -1) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 n))) (+.f64 (*.f64 1/12 (/.f64 1 (pow.f64 n 3))) (*.f64 1/2 (/.f64 1 n))))) (*.f64 1/6 (/.f64 1 (pow.f64 n 2))))
(-.f64 (+.f64 (log.f64 -1) (fma.f64 -1 (log.f64 (/.f64 -1 n)) (+.f64 (/.f64 1/2 n) (/.f64 1/12 (pow.f64 n 3))))) (/.f64 1/6 (*.f64 n n)))
(+.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 n))) (+.f64 (/.f64 1/12 (pow.f64 n 3)) (-.f64 (/.f64 1/2 n) (/.f64 (/.f64 1/6 n) n))))
(*.f64 -1 (*.f64 n (log.f64 (/.f64 1 n))))
(neg.f64 (*.f64 (neg.f64 n) (log.f64 n)))
(log.f64 (pow.f64 n n))
(*.f64 -1 (*.f64 n (log.f64 (/.f64 1 n))))
(neg.f64 (*.f64 (neg.f64 n) (log.f64 n)))
(log.f64 (pow.f64 n n))
(*.f64 -1 (*.f64 n (log.f64 (/.f64 1 n))))
(neg.f64 (*.f64 (neg.f64 n) (log.f64 n)))
(log.f64 (pow.f64 n n))
(*.f64 -1 (*.f64 n (log.f64 (/.f64 1 n))))
(neg.f64 (*.f64 (neg.f64 n) (log.f64 n)))
(log.f64 (pow.f64 n n))
(*.f64 n (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 n)))))
(*.f64 n (+.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 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 n)))))
(*.f64 n (+.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 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 n)))))
(*.f64 n (+.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 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 n)))))
(*.f64 n (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 n)))))
(*.f64 n (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 n))))
n
(+.f64 n (*.f64 1/2 (pow.f64 n 2)))
(+.f64 n (*.f64 (*.f64 n n) 1/2))
(fma.f64 (*.f64 n n) 1/2 n)
(+.f64 n (+.f64 (*.f64 -1/6 (pow.f64 n 3)) (*.f64 1/2 (pow.f64 n 2))))
(+.f64 n (fma.f64 -1/6 (pow.f64 n 3) (*.f64 (*.f64 n n) 1/2)))
(+.f64 (*.f64 (pow.f64 n 3) -1/6) (fma.f64 (*.f64 n n) 1/2 n))
(+.f64 n (+.f64 (*.f64 -1/6 (pow.f64 n 3)) (+.f64 (*.f64 1/12 (pow.f64 n 4)) (*.f64 1/2 (pow.f64 n 2)))))
(+.f64 n (fma.f64 -1/6 (pow.f64 n 3) (fma.f64 1/12 (pow.f64 n 4) (*.f64 (*.f64 n n) 1/2))))
(+.f64 (fma.f64 (pow.f64 n 3) -1/6 (*.f64 (pow.f64 n 4) 1/12)) (fma.f64 (*.f64 n n) 1/2 n))
(*.f64 -1 (*.f64 n (log.f64 (/.f64 1 n))))
(neg.f64 (*.f64 (neg.f64 n) (log.f64 n)))
(log.f64 (pow.f64 n n))
(+.f64 1 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 n))) (*.f64 -1 (*.f64 n (log.f64 (/.f64 1 n))))))
(+.f64 1 (fma.f64 -1 (neg.f64 (log.f64 n)) (neg.f64 (*.f64 (neg.f64 n) (log.f64 n)))))
(+.f64 (log.f64 n) (fma.f64 n (log.f64 n) 1))
(+.f64 1 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 n))) (+.f64 (*.f64 -1 (*.f64 n (log.f64 (/.f64 1 n)))) (*.f64 1/2 (/.f64 1 n)))))
(+.f64 1 (fma.f64 -1 (neg.f64 (log.f64 n)) (fma.f64 -1 (*.f64 (neg.f64 n) (log.f64 n)) (/.f64 1/2 n))))
(+.f64 (+.f64 (log.f64 n) (fma.f64 n (log.f64 n) 1)) (/.f64 1/2 n))
(-.f64 (+.f64 1 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 n))) (+.f64 (*.f64 -1 (*.f64 n (log.f64 (/.f64 1 n)))) (*.f64 1/2 (/.f64 1 n))))) (*.f64 1/6 (/.f64 1 (pow.f64 n 2))))
(+.f64 1 (-.f64 (fma.f64 -1 (neg.f64 (log.f64 n)) (fma.f64 -1 (*.f64 (neg.f64 n) (log.f64 n)) (/.f64 1/2 n))) (/.f64 1/6 (*.f64 n n))))
(+.f64 (+.f64 (+.f64 (log.f64 n) (fma.f64 n (log.f64 n) 1)) (/.f64 1/2 n)) (/.f64 -1/6 (*.f64 n n)))
(*.f64 n (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 n)))))
(*.f64 n (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 n)))))
(*.f64 n (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 n))))
(+.f64 1 (+.f64 (log.f64 -1) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 n))) (*.f64 n (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 n))))))))
(+.f64 1 (+.f64 (log.f64 -1) (fma.f64 -1 (log.f64 (/.f64 -1 n)) (*.f64 n (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 n))))))))
(+.f64 1 (*.f64 (+.f64 n 1) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 n)))))
(+.f64 1 (+.f64 (log.f64 -1) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 n))) (+.f64 (*.f64 1/2 (/.f64 1 n)) (*.f64 n (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 n)))))))))
(+.f64 1 (+.f64 (log.f64 -1) (+.f64 (fma.f64 -1 (log.f64 (/.f64 -1 n)) (/.f64 1/2 n)) (*.f64 n (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 n))))))))
(+.f64 1 (+.f64 (*.f64 (+.f64 n 1) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 n)))) (/.f64 1/2 n)))
(-.f64 (+.f64 1 (+.f64 (log.f64 -1) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 n))) (+.f64 (*.f64 1/2 (/.f64 1 n)) (*.f64 n (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 n))))))))) (*.f64 1/6 (/.f64 1 (pow.f64 n 2))))
(+.f64 1 (-.f64 (+.f64 (log.f64 -1) (+.f64 (fma.f64 -1 (log.f64 (/.f64 -1 n)) (/.f64 1/2 n)) (*.f64 n (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 n))))))) (/.f64 1/6 (*.f64 n n))))
(+.f64 1 (+.f64 (+.f64 (*.f64 (+.f64 n 1) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 n)))) (/.f64 1/2 n)) (/.f64 -1/6 (*.f64 n n))))
(*.f64 n (-.f64 1 (log.f64 n)))
(+.f64 (*.f64 1/2 (pow.f64 n 2)) (*.f64 n (-.f64 1 (log.f64 n))))
(fma.f64 1/2 (*.f64 n n) (*.f64 n (-.f64 1 (log.f64 n))))
(fma.f64 n (-.f64 1 (log.f64 n)) (*.f64 n (*.f64 n 1/2)))
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(-.f64 (*.f64 (log1p.f64 n) (+.f64 n 1)) (fma.f64 n (log.f64 n) 1))
(+.f64 -1 (+.f64 (log1p.f64 n) (*.f64 n (log1p.f64 (/.f64 1 n)))))
(fma.f64 (-.f64 (*.f64 (+.f64 n 1) (log1p.f64 n)) (*.f64 n (log.f64 n))) 1 -1)
(+.f64 -1 (-.f64 (*.f64 (log1p.f64 n) (+.f64 n 1)) (*.f64 n (log.f64 n))))
(-.f64 (*.f64 (log1p.f64 n) (+.f64 n 1)) (fma.f64 n (log.f64 n) 1))
(+.f64 -1 (+.f64 (log1p.f64 n) (*.f64 n (log1p.f64 (/.f64 1 n)))))
(fma.f64 (cbrt.f64 (-.f64 (*.f64 (+.f64 n 1) (log1p.f64 n)) (*.f64 n (log.f64 n)))) (pow.f64 (cbrt.f64 (-.f64 (*.f64 (+.f64 n 1) (log1p.f64 n)) (*.f64 n (log.f64 n)))) 2) -1)
(+.f64 -1 (-.f64 (*.f64 (log1p.f64 n) (+.f64 n 1)) (*.f64 n (log.f64 n))))
(-.f64 (*.f64 (log1p.f64 n) (+.f64 n 1)) (fma.f64 n (log.f64 n) 1))
(+.f64 -1 (+.f64 (log1p.f64 n) (*.f64 n (log1p.f64 (/.f64 1 n)))))
(fma.f64 (pow.f64 (cbrt.f64 (-.f64 (*.f64 (+.f64 n 1) (log1p.f64 n)) (*.f64 n (log.f64 n)))) 2) (cbrt.f64 (-.f64 (*.f64 (+.f64 n 1) (log1p.f64 n)) (*.f64 n (log.f64 n)))) -1)
(+.f64 -1 (-.f64 (*.f64 (log1p.f64 n) (+.f64 n 1)) (*.f64 n (log.f64 n))))
(-.f64 (*.f64 (log1p.f64 n) (+.f64 n 1)) (fma.f64 n (log.f64 n) 1))
(+.f64 -1 (+.f64 (log1p.f64 n) (*.f64 n (log1p.f64 (/.f64 1 n)))))
(fma.f64 (pow.f64 (cbrt.f64 (-.f64 (*.f64 (+.f64 n 1) (log1p.f64 n)) (*.f64 n (log.f64 n)))) 2) (*.f64 (cbrt.f64 (-.f64 (*.f64 (+.f64 n 1) (log1p.f64 n)) (*.f64 n (log.f64 n)))) 1) -1)
(+.f64 -1 (-.f64 (*.f64 (log1p.f64 n) (+.f64 n 1)) (*.f64 n (log.f64 n))))
(-.f64 (*.f64 (log1p.f64 n) (+.f64 n 1)) (fma.f64 n (log.f64 n) 1))
(+.f64 -1 (+.f64 (log1p.f64 n) (*.f64 n (log1p.f64 (/.f64 1 n)))))
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 n 1)) 2) (*.f64 (cbrt.f64 (+.f64 n 1)) (log1p.f64 n)) (neg.f64 (fma.f64 n (log.f64 n) 1)))
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 n 1)) 2) (*.f64 (log1p.f64 n) (cbrt.f64 (+.f64 n 1))) (neg.f64 (fma.f64 n (log.f64 n) 1)))
(-.f64 (*.f64 (log1p.f64 n) (pow.f64 (cbrt.f64 (+.f64 n 1)) 3)) (fma.f64 n (log.f64 n) 1))
(fma.f64 (cbrt.f64 (*.f64 (+.f64 n 1) (log1p.f64 n))) (pow.f64 (cbrt.f64 (*.f64 (+.f64 n 1) (log1p.f64 n))) 2) (neg.f64 (fma.f64 n (log.f64 n) 1)))
(+.f64 -1 (-.f64 (*.f64 (log1p.f64 n) (+.f64 n 1)) (*.f64 n (log.f64 n))))
(-.f64 (*.f64 (log1p.f64 n) (+.f64 n 1)) (fma.f64 n (log.f64 n) 1))
(+.f64 -1 (+.f64 (log1p.f64 n) (*.f64 n (log1p.f64 (/.f64 1 n)))))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 (+.f64 n 1) (log1p.f64 n))) 2) (cbrt.f64 (*.f64 (+.f64 n 1) (log1p.f64 n))) (neg.f64 (fma.f64 n (log.f64 n) 1)))
(+.f64 -1 (-.f64 (*.f64 (log1p.f64 n) (+.f64 n 1)) (*.f64 n (log.f64 n))))
(-.f64 (*.f64 (log1p.f64 n) (+.f64 n 1)) (fma.f64 n (log.f64 n) 1))
(+.f64 -1 (+.f64 (log1p.f64 n) (*.f64 n (log1p.f64 (/.f64 1 n)))))
(fma.f64 (cbrt.f64 (pow.f64 (log1p.f64 n) 2)) (*.f64 (cbrt.f64 (log1p.f64 n)) (+.f64 n 1)) (neg.f64 (fma.f64 n (log.f64 n) 1)))
(fma.f64 (cbrt.f64 (pow.f64 (log1p.f64 n) 2)) (*.f64 (+.f64 n 1) (cbrt.f64 (log1p.f64 n))) (neg.f64 (fma.f64 n (log.f64 n) 1)))
(fma.f64 (sqrt.f64 (-.f64 (*.f64 (+.f64 n 1) (log1p.f64 n)) (*.f64 n (log.f64 n)))) (sqrt.f64 (-.f64 (*.f64 (+.f64 n 1) (log1p.f64 n)) (*.f64 n (log.f64 n)))) -1)
(+.f64 -1 (-.f64 (*.f64 (log1p.f64 n) (+.f64 n 1)) (*.f64 n (log.f64 n))))
(-.f64 (*.f64 (log1p.f64 n) (+.f64 n 1)) (fma.f64 n (log.f64 n) 1))
(+.f64 -1 (+.f64 (log1p.f64 n) (*.f64 n (log1p.f64 (/.f64 1 n)))))
(fma.f64 (sqrt.f64 (-.f64 (*.f64 (+.f64 n 1) (log1p.f64 n)) (*.f64 n (log.f64 n)))) (*.f64 (sqrt.f64 (-.f64 (*.f64 (+.f64 n 1) (log1p.f64 n)) (*.f64 n (log.f64 n)))) 1) -1)
(+.f64 -1 (-.f64 (*.f64 (log1p.f64 n) (+.f64 n 1)) (*.f64 n (log.f64 n))))
(-.f64 (*.f64 (log1p.f64 n) (+.f64 n 1)) (fma.f64 n (log.f64 n) 1))
(+.f64 -1 (+.f64 (log1p.f64 n) (*.f64 n (log1p.f64 (/.f64 1 n)))))
(fma.f64 (sqrt.f64 (+.f64 n 1)) (*.f64 (sqrt.f64 (+.f64 n 1)) (log1p.f64 n)) (neg.f64 (fma.f64 n (log.f64 n) 1)))
(fma.f64 (sqrt.f64 (+.f64 n 1)) (*.f64 (log1p.f64 n) (sqrt.f64 (+.f64 n 1))) (neg.f64 (fma.f64 n (log.f64 n) 1)))
(-.f64 (*.f64 (log1p.f64 n) (*.f64 (sqrt.f64 (+.f64 n 1)) (sqrt.f64 (+.f64 n 1)))) (fma.f64 n (log.f64 n) 1))
(fma.f64 (sqrt.f64 (*.f64 (+.f64 n 1) (log1p.f64 n))) (sqrt.f64 (*.f64 (+.f64 n 1) (log1p.f64 n))) (neg.f64 (fma.f64 n (log.f64 n) 1)))
(+.f64 -1 (-.f64 (*.f64 (log1p.f64 n) (+.f64 n 1)) (*.f64 n (log.f64 n))))
(-.f64 (*.f64 (log1p.f64 n) (+.f64 n 1)) (fma.f64 n (log.f64 n) 1))
(+.f64 -1 (+.f64 (log1p.f64 n) (*.f64 n (log1p.f64 (/.f64 1 n)))))
(fma.f64 (sqrt.f64 (log1p.f64 n)) (*.f64 (sqrt.f64 (log1p.f64 n)) (+.f64 n 1)) (neg.f64 (fma.f64 n (log.f64 n) 1)))
(+.f64 -1 (-.f64 (*.f64 (log1p.f64 n) (+.f64 n 1)) (*.f64 n (log.f64 n))))
(-.f64 (*.f64 (log1p.f64 n) (+.f64 n 1)) (fma.f64 n (log.f64 n) 1))
(+.f64 -1 (+.f64 (log1p.f64 n) (*.f64 n (log1p.f64 (/.f64 1 n)))))
(fma.f64 (-.f64 (pow.f64 (*.f64 (+.f64 n 1) (log1p.f64 n)) 3) (pow.f64 (*.f64 n (log.f64 n)) 3)) (/.f64 1 (+.f64 (pow.f64 (*.f64 (+.f64 n 1) (log1p.f64 n)) 2) (*.f64 (*.f64 n (log.f64 n)) (fma.f64 (+.f64 n 1) (log1p.f64 n) (*.f64 n (log.f64 n)))))) -1)
(+.f64 (/.f64 (-.f64 (pow.f64 (*.f64 (log1p.f64 n) (+.f64 n 1)) 3) (pow.f64 (*.f64 n (log.f64 n)) 3)) (+.f64 (pow.f64 (*.f64 (log1p.f64 n) (+.f64 n 1)) 2) (*.f64 (*.f64 n (log.f64 n)) (fma.f64 (+.f64 n 1) (log1p.f64 n) (*.f64 n (log.f64 n)))))) -1)
(+.f64 -1 (/.f64 (-.f64 (pow.f64 (*.f64 (log1p.f64 n) (+.f64 n 1)) 3) (pow.f64 (log.f64 (pow.f64 n n)) 3)) (fma.f64 (log.f64 (pow.f64 n n)) (fma.f64 (log1p.f64 n) (+.f64 n 1) (log.f64 (pow.f64 n n))) (pow.f64 (*.f64 (log1p.f64 n) (+.f64 n 1)) 2))))
(fma.f64 (-.f64 (pow.f64 (*.f64 (+.f64 n 1) (log1p.f64 n)) 2) (pow.f64 (*.f64 n (log.f64 n)) 2)) (/.f64 1 (fma.f64 (+.f64 n 1) (log1p.f64 n) (*.f64 n (log.f64 n)))) -1)
(+.f64 (/.f64 (-.f64 (pow.f64 (*.f64 (log1p.f64 n) (+.f64 n 1)) 2) (pow.f64 (*.f64 n (log.f64 n)) 2)) (fma.f64 (+.f64 n 1) (log1p.f64 n) (*.f64 n (log.f64 n)))) -1)
(+.f64 -1 (/.f64 (-.f64 (pow.f64 (*.f64 (log1p.f64 n) (+.f64 n 1)) 2) (pow.f64 (log.f64 (pow.f64 n n)) 2)) (fma.f64 (log1p.f64 n) (+.f64 n 1) (log.f64 (pow.f64 n n)))))
(fma.f64 (+.f64 (sqrt.f64 (*.f64 (+.f64 n 1) (log1p.f64 n))) (sqrt.f64 (*.f64 n (log.f64 n)))) (-.f64 (sqrt.f64 (*.f64 (+.f64 n 1) (log1p.f64 n))) (sqrt.f64 (*.f64 n (log.f64 n)))) -1)
(+.f64 -1 (-.f64 (*.f64 (log1p.f64 n) (+.f64 n 1)) (*.f64 n (log.f64 n))))
(-.f64 (*.f64 (log1p.f64 n) (+.f64 n 1)) (fma.f64 n (log.f64 n) 1))
(+.f64 -1 (+.f64 (log1p.f64 n) (*.f64 n (log1p.f64 (/.f64 1 n)))))
(fma.f64 (*.f64 (+.f64 n 1) (cbrt.f64 (pow.f64 (log1p.f64 n) 2))) (cbrt.f64 (log1p.f64 n)) (neg.f64 (fma.f64 n (log.f64 n) 1)))
(fma.f64 (cbrt.f64 (pow.f64 (log1p.f64 n) 2)) (*.f64 (+.f64 n 1) (cbrt.f64 (log1p.f64 n))) (neg.f64 (fma.f64 n (log.f64 n) 1)))
(fma.f64 (*.f64 (+.f64 n 1) (sqrt.f64 (log1p.f64 n))) (sqrt.f64 (log1p.f64 n)) (neg.f64 (fma.f64 n (log.f64 n) 1)))
(+.f64 -1 (-.f64 (*.f64 (log1p.f64 n) (+.f64 n 1)) (*.f64 n (log.f64 n))))
(-.f64 (*.f64 (log1p.f64 n) (+.f64 n 1)) (fma.f64 n (log.f64 n) 1))
(+.f64 -1 (+.f64 (log1p.f64 n) (*.f64 n (log1p.f64 (/.f64 1 n)))))
(fma.f64 (*.f64 (log1p.f64 n) (pow.f64 (cbrt.f64 (+.f64 n 1)) 2)) (cbrt.f64 (+.f64 n 1)) (neg.f64 (fma.f64 n (log.f64 n) 1)))
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 n 1)) 2) (*.f64 (log1p.f64 n) (cbrt.f64 (+.f64 n 1))) (neg.f64 (fma.f64 n (log.f64 n) 1)))
(-.f64 (*.f64 (log1p.f64 n) (pow.f64 (cbrt.f64 (+.f64 n 1)) 3)) (fma.f64 n (log.f64 n) 1))
(fma.f64 (*.f64 (log1p.f64 n) (sqrt.f64 (+.f64 n 1))) (sqrt.f64 (+.f64 n 1)) (neg.f64 (fma.f64 n (log.f64 n) 1)))
(fma.f64 (sqrt.f64 (+.f64 n 1)) (*.f64 (log1p.f64 n) (sqrt.f64 (+.f64 n 1))) (neg.f64 (fma.f64 n (log.f64 n) 1)))
(-.f64 (*.f64 (log1p.f64 n) (*.f64 (sqrt.f64 (+.f64 n 1)) (sqrt.f64 (+.f64 n 1)))) (fma.f64 n (log.f64 n) 1))

eval260.0ms (3.2%)

Compiler

Compiled 13516 to 7476 computations (44.7% saved)

prune159.0ms (1.9%)

Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New6291630
Fresh000
Picked303
Done000
Total6321633
Accuracy
100.0%
Counts
633 → 1
Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(log.f64 n)
100.0%
(log.f64 n)
Compiler

Compiled 6 to 4 computations (33.3% saved)

localize21.0ms (0.3%)

Compiler

Compiled 5 to 3 computations (40% saved)

eval0.0ms (0%)

Compiler

Compiled 1 to 1 computations (0% saved)

prune2.0ms (0%)

Pruning

1 alts after pruning (0 fresh and 1 done)

PrunedKeptTotal
New000
Fresh000
Picked011
Done000
Total011
Accuracy
100.0%
Counts
1 → 1
Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(log.f64 n)
Compiler

Compiled 47 to 28 computations (40.4% saved)

regimes9.0ms (0.1%)

Accuracy

Total -63.0b remaining (-∞%)

Threshold costs -63b (-∞%)

Counts
4 → 1
Calls
Call 1
Inputs
(log.f64 n)
(-.f64 (*.f64 (+.f64 n 1) (log.f64 (+.f64 n 1))) (+.f64 (*.f64 n (log.f64 n)) 1))
(-.f64 (-.f64 (*.f64 (+.f64 n 1) (log.f64 (+.f64 n 1))) (*.f64 n (log.f64 n))) 1)
(+.f64 (log1p.f64 n) (fma.f64 n (-.f64 (log1p.f64 n) (log.f64 n)) -1))
Outputs
(log.f64 n)
Calls

3 calls:

4.0ms
n
2.0ms
(-.f64 (-.f64 (*.f64 (+.f64 n 1) (log.f64 (+.f64 n 1))) (*.f64 n (log.f64 n))) 1)
2.0ms
(-.f64 (*.f64 (+.f64 n 1) (log.f64 (+.f64 n 1))) (*.f64 n (log.f64 n)))
Results
AccuracySegmentsBranch
100.0%1n
100.0%1(-.f64 (-.f64 (*.f64 (+.f64 n 1) (log.f64 (+.f64 n 1))) (*.f64 n (log.f64 n))) 1)
100.0%1(-.f64 (*.f64 (+.f64 n 1) (log.f64 (+.f64 n 1))) (*.f64 n (log.f64 n)))
Compiler

Compiled 76 to 49 computations (35.5% saved)

simplify4.0ms (0%)

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
045
Stop Event
done
saturated
Calls
Call 1
Inputs
(log.f64 n)
Outputs
(log.f64 n)
Compiler

Compiled 3 to 2 computations (33.3% saved)

soundness536.0ms (6.5%)

Rules
1458×unsub-neg
1202×fma-def
1120×sub-neg
856×distribute-lft-out
756×fma-neg
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
020147
153113
2141109
3444109
41725105
53896105
65442105
76537105
87141105
97376105
107412105
117420105
127499105
071222284
1189020390
2707819242
Stop Event
node limit
node limit
Compiler

Compiled 49 to 32 computations (34.7% saved)

end0.0ms (0%)

preprocess41.0ms (0.5%)

Compiler

Compiled 88 to 68 computations (22.7% saved)

Profiling

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