logs (example 3.8)

Time bar (total: 7.2s)

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)

sample3.8s (52.2%)

Results
2.4s4344×1024valid
834.0ms2204×512valid
252.0ms1402×256valid
284.0ms306×2048valid
Bogosity

preprocess774.0ms (10.7%)

Algorithm
egg-herbie
Rules
2386×associate--l+
1216×sub-neg
1060×unsub-neg
966×fma-neg
808×distribute-neg-in
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
2560-0-(-.f64 (*.f64 (+.f64 n 1) (log.f64 (+.f64 n 1))) (*.f64 n (log.f64 n)))
00-0-(log.f64 (+.f64 n 1))
00-0-(+.f64 n 1)
00-0-(*.f64 n (log.f64 n))
00-0-(log.f64 n)
00-0-(-.f64 (-.f64 (*.f64 (+.f64 n 1) (log.f64 (+.f64 n 1))) (*.f64 n (log.f64 n))) 1)
00-0-(*.f64 (+.f64 n 1) (log.f64 (+.f64 n 1)))
00-0-1
00-0-n
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
023256
161208
2163200
3523200
42076196
54562196
65650196
76508196
86954196
97137196
107152196
117155196
127155196
137158196
147212196
157212196
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)
(neg.f64 (-.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 (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 (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))
(neg.f64 (-.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))
(neg.f64 (+.f64 (+.f64 (*.f64 (+.f64 1 (neg.f64 n)) (log.f64 (+.f64 1 (neg.f64 n)))) (*.f64 n (log.f64 (neg.f64 n)))) -1))
(+.f64 (neg.f64 (fma.f64 (-.f64 1 n) (log1p.f64 (neg.f64 n)) (*.f64 n (log.f64 (neg.f64 n))))) 1)
(-.f64 1 (fma.f64 n (log.f64 (neg.f64 n)) (*.f64 (-.f64 1 n) (log1p.f64 (neg.f64 n)))))
(-.f64 1 (fma.f64 (-.f64 1 n) (log1p.f64 (neg.f64 n)) (*.f64 n (log.f64 (neg.f64 n)))))
Compiler

Compiled 122 to 76 computations (37.7% saved)

eval1.0ms (0%)

Compiler

Compiled 39 to 23 computations (41% saved)

prune2.0ms (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)
3.1%
(-.f64 (*.f64 (+.f64 n 1) (log.f64 (+.f64 n 1))) (+.f64 (*.f64 n (log.f64 n)) 1))
30.9%
(+.f64 (log1p.f64 n) (fma.f64 n (-.f64 (log1p.f64 n) (log.f64 n)) -1))
Compiler

Compiled 44 to 31 computations (29.5% saved)

localize796.0ms (11.1%)

Localize:

Found 8 expressions with local error:

NewAccuracyProgram
99.6%
(*.f64 n (log.f64 n))
99.6%
(*.f64 (+.f64 n 1) (log.f64 (+.f64 n 1)))
3.2%
(-.f64 (*.f64 (+.f64 n 1) (log.f64 (+.f64 n 1))) (*.f64 n (log.f64 n)))
99.6%
(*.f64 n (log.f64 n))
99.6%
(*.f64 (+.f64 n 1) (log.f64 (+.f64 n 1)))
3.2%
(-.f64 (*.f64 (+.f64 n 1) (log.f64 (+.f64 n 1))) (+.f64 (*.f64 n (log.f64 n)) 1))
5.4%
(-.f64 (log1p.f64 n) (log.f64 n))
3.9%
(fma.f64 n (-.f64 (log1p.f64 n) (log.f64 n)) -1)
Compiler

Compiled 127 to 63 computations (50.4% saved)

series64.0ms (0.9%)

Counts
8 → 88
Calls

24 calls:

TimeVariablePointExpression
37.0ms
n
@0
(*.f64 n (log.f64 n))
13.0ms
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))

rewrite316.0ms (4.4%)

Algorithm
batch-egg-rewrite
Rules
1025×log1p-expm1-u
694×expm1-log1p-u
496×log1p-udef
494×expm1-udef
198×associate-*r*
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
020225
1315225
24353225
Stop Event
node limit
Counts
8 → 226
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 (+.f64 n 1) (log.f64 (+.f64 n 1)))
(*.f64 n (log.f64 n))
(-.f64 (*.f64 (+.f64 n 1) (log.f64 (+.f64 n 1))) (*.f64 n (log.f64 n)))
(*.f64 (+.f64 n 1) (log.f64 (+.f64 n 1)))
(*.f64 n (log.f64 n))
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 (-.f64 (*.f64 (*.f64 n (-.f64 (log1p.f64 n) (log.f64 n))) (*.f64 n (-.f64 (log1p.f64 n) (log.f64 n)))) 1) (-.f64 (*.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)) (fma.f64 (neg.f64 (sqrt.f64 (log.f64 n))) (sqrt.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)))
(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 (pow.f64 (cbrt.f64 (log1p.f64 n)) 2) (cbrt.f64 (log1p.f64 n)) (neg.f64 (log.f64 n)))
(fma.f64 (sqrt.f64 (log1p.f64 n)) (sqrt.f64 (log1p.f64 n)) (neg.f64 (log.f64 n)))
(+.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)) (-.f64 (*.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)) (fma.f64 (neg.f64 (sqrt.f64 (fma.f64 n (log.f64 n) 1))) (sqrt.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 (log.f64 n)) 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 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 (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 (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 (-.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)))))
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(pow.f64 (sqrt.f64 (*.f64 (+.f64 n 1) (log1p.f64 n))) 2)
(pow.f64 (pow.f64 (*.f64 (+.f64 n 1) (log1p.f64 n)) 3) 1/3)
(sqrt.f64 (pow.f64 (*.f64 (+.f64 n 1) (log1p.f64 n)) 2))
(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 (fma.f64 n (log.f64 n) 1) 1)
(pow.f64 (*.f64 n (log.f64 n)) 1)
(pow.f64 (cbrt.f64 (*.f64 n (log.f64 n))) 3)
(pow.f64 (sqrt.f64 (*.f64 n (log.f64 n))) 2)
(pow.f64 (pow.f64 (*.f64 n (log.f64 n)) 3) 1/3)
(sqrt.f64 (pow.f64 (*.f64 n (log.f64 n)) 2))
(log.f64 (pow.f64 n n))
(log.f64 (+.f64 1 (-.f64 (pow.f64 n n) 1)))
(cbrt.f64 (pow.f64 (*.f64 n (log.f64 n)) 3))
(expm1.f64 (log1p.f64 (*.f64 n (log.f64 n))))
(exp.f64 (log.f64 (*.f64 n (log.f64 n))))
(exp.f64 (*.f64 (log.f64 (*.f64 n (log.f64 n))) 1))
(log1p.f64 (-.f64 (pow.f64 n n) 1))

simplify205.0ms (2.8%)

Algorithm
egg-herbie
Rules
1110×fma-def
610×log-prod
540×div-sub
500×associate-*r*
498×associate-*l*
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
054615906
1149414526
2617614526
Stop Event
node limit
Counts
314 → 393
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)))
(-.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 (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)))))
-1
(-.f64 (*.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 -1/6 (pow.f64 n 3)) (+.f64 (*.f64 1/2 (pow.f64 n 2)) (*.f64 n (-.f64 1 (log.f64 n))))) 1)
(*.f64 -1 (log.f64 (/.f64 1 n)))
(+.f64 (*.f64 -1 (log.f64 (/.f64 1 n))) (*.f64 1/2 (/.f64 1 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 (+.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 (log.f64 -1) (*.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 (+.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 (+.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))))
n
(+.f64 n (*.f64 1/2 (pow.f64 n 2)))
(+.f64 n (+.f64 (*.f64 -1/6 (pow.f64 n 3)) (*.f64 1/2 (pow.f64 n 2))))
(+.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 -1 (*.f64 n (log.f64 (/.f64 1 n))))
(+.f64 1 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 n))) (*.f64 -1 (*.f64 n (log.f64 (/.f64 1 n))))))
(+.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 (+.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 n (+.f64 (log.f64 -1) (*.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) (+.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 (+.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 n (log.f64 (/.f64 1 n))))
(*.f64 -1 (*.f64 n (log.f64 (/.f64 1 n))))
(*.f64 -1 (*.f64 n (log.f64 (/.f64 1 n))))
(*.f64 -1 (*.f64 n (log.f64 (/.f64 1 n))))
(*.f64 n (+.f64 (log.f64 -1) (*.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) (*.f64 -1 (log.f64 (/.f64 -1 n)))))
(*.f64 n (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 n)))))
(*.f64 n (-.f64 1 (log.f64 n)))
(+.f64 (*.f64 1/2 (pow.f64 n 2)) (*.f64 n (-.f64 1 (log.f64 n))))
(+.f64 (*.f64 -1/6 (pow.f64 n 3)) (+.f64 (*.f64 1/2 (pow.f64 n 2)) (*.f64 n (-.f64 1 (log.f64 n)))))
(+.f64 (*.f64 -1/6 (pow.f64 n 3)) (+.f64 (*.f64 1/12 (pow.f64 n 4)) (+.f64 (*.f64 1/2 (pow.f64 n 2)) (*.f64 n (-.f64 1 (log.f64 n))))))
(+.f64 1 (*.f64 -1 (log.f64 (/.f64 1 n))))
(+.f64 1 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 n))) (*.f64 1/2 (/.f64 1 n))))
(-.f64 (+.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 (+.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 1 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 n)))))
(+.f64 1 (+.f64 (log.f64 -1) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 n))) (*.f64 1/2 (/.f64 1 n)))))
(-.f64 (+.f64 1 (+.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 (+.f64 1 (+.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))))
n
(+.f64 n (*.f64 1/2 (pow.f64 n 2)))
(+.f64 n (+.f64 (*.f64 -1/6 (pow.f64 n 3)) (*.f64 1/2 (pow.f64 n 2))))
(+.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 -1 (*.f64 n (log.f64 (/.f64 1 n))))
(+.f64 1 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 n))) (*.f64 -1 (*.f64 n (log.f64 (/.f64 1 n))))))
(+.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 (+.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 n (+.f64 (log.f64 -1) (*.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) (+.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 (+.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 n (log.f64 (/.f64 1 n))))
(*.f64 -1 (*.f64 n (log.f64 (/.f64 1 n))))
(*.f64 -1 (*.f64 n (log.f64 (/.f64 1 n))))
(*.f64 -1 (*.f64 n (log.f64 (/.f64 1 n))))
(*.f64 n (+.f64 (log.f64 -1) (*.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) (*.f64 -1 (log.f64 (/.f64 -1 n)))))
(*.f64 n (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 n)))))
(+.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 (-.f64 (*.f64 (*.f64 n (-.f64 (log1p.f64 n) (log.f64 n))) (*.f64 n (-.f64 (log1p.f64 n) (log.f64 n)))) 1) (-.f64 (*.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)) (fma.f64 (neg.f64 (sqrt.f64 (log.f64 n))) (sqrt.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)))
(cbrt.f64 (pow.f64 (-.f64 (log1p.f64 n) (log.f64 n)) 3))
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(/.f64 (+.f64 (pow.f64 (-.f64 (*.f64 (+.f64 n 1) (log1p.f64 n)) (*.f64 n (log.f64 n))) 3) (pow.f64 (fma.f64 (neg.f64 (log.f64 n)) n (*.f64 n (log.f64 n))) 3)) (+.f64 (pow.f64 (-.f64 (*.f64 (+.f64 n 1) (log1p.f64 n)) (*.f64 n (log.f64 n))) 2) (-.f64 (*.f64 (fma.f64 (neg.f64 (log.f64 n)) n (*.f64 n (log.f64 n))) (fma.f64 (neg.f64 (log.f64 n)) n (*.f64 n (log.f64 n)))) (*.f64 (-.f64 (*.f64 (+.f64 n 1) (log1p.f64 n)) (*.f64 n (log.f64 n))) (fma.f64 (neg.f64 (log.f64 n)) n (*.f64 n (log.f64 n)))))))
(/.f64 (-.f64 (pow.f64 (*.f64 (+.f64 n 1) (log1p.f64 n)) 2) (*.f64 (*.f64 (log.f64 n) (neg.f64 n)) (*.f64 (log.f64 n) (neg.f64 n)))) (-.f64 (*.f64 (+.f64 n 1) (log1p.f64 n)) (*.f64 (log.f64 n) (neg.f64 n))))
(/.f64 (-.f64 (pow.f64 (-.f64 (*.f64 (+.f64 n 1) (log1p.f64 n)) (*.f64 n (log.f64 n))) 2) (*.f64 (fma.f64 (neg.f64 (log.f64 n)) n (*.f64 n (log.f64 n))) (fma.f64 (neg.f64 (log.f64 n)) n (*.f64 n (log.f64 n))))) (-.f64 (-.f64 (*.f64 (+.f64 n 1) (log1p.f64 n)) (*.f64 n (log.f64 n))) (fma.f64 (neg.f64 (log.f64 n)) n (*.f64 n (log.f64 n)))))
(pow.f64 (-.f64 (*.f64 (+.f64 n 1) (log1p.f64 n)) (*.f64 n (log.f64 n))) 1)
(pow.f64 (cbrt.f64 (-.f64 (*.f64 (+.f64 n 1) (log1p.f64 n)) (*.f64 n (log.f64 n)))) 3)
(pow.f64 (pow.f64 (-.f64 (*.f64 (+.f64 n 1) (log1p.f64 n)) (*.f64 n (log.f64 n))) 3) 1/3)
(pow.f64 (sqrt.f64 (-.f64 (*.f64 (+.f64 n 1) (log1p.f64 n)) (*.f64 n (log.f64 n)))) 2)
(sqrt.f64 (pow.f64 (-.f64 (*.f64 (+.f64 n 1) (log1p.f64 n)) (*.f64 n (log.f64 n))) 2))
(log.f64 (/.f64 (pow.f64 (+.f64 n 1) (+.f64 n 1)) (pow.f64 n n)))
(log.f64 (+.f64 1 (-.f64 (/.f64 (pow.f64 (+.f64 n 1) (+.f64 n 1)) (pow.f64 n n)) 1)))
(cbrt.f64 (pow.f64 (-.f64 (*.f64 (+.f64 n 1) (log1p.f64 n)) (*.f64 n (log.f64 n))) 3))
(expm1.f64 (log1p.f64 (-.f64 (*.f64 (+.f64 n 1) (log1p.f64 n)) (*.f64 n (log.f64 n)))))
(exp.f64 (log.f64 (-.f64 (*.f64 (+.f64 n 1) (log1p.f64 n)) (*.f64 n (log.f64 n)))))
(exp.f64 (*.f64 (log.f64 (-.f64 (*.f64 (+.f64 n 1) (log1p.f64 n)) (*.f64 n (log.f64 n)))) 1))
(log1p.f64 (-.f64 (/.f64 (pow.f64 (+.f64 n 1) (+.f64 n 1)) (pow.f64 n n)) 1))
(fma.f64 1 (*.f64 (+.f64 n 1) (log1p.f64 n)) (*.f64 (log.f64 n) (neg.f64 n)))
(fma.f64 1 (-.f64 (*.f64 (+.f64 n 1) (log1p.f64 n)) (*.f64 n (log.f64 n))) (fma.f64 (neg.f64 (log.f64 n)) n (*.f64 n (log.f64 n))))
(fma.f64 (+.f64 n 1) (log1p.f64 n) (*.f64 (log.f64 n) (neg.f64 n)))
(fma.f64 (log1p.f64 n) (+.f64 n 1) (*.f64 (log.f64 n) (neg.f64 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)))) (fma.f64 (neg.f64 (log.f64 n)) n (*.f64 n (log.f64 n))))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 (+.f64 n 1) (log1p.f64 n))) 2) (cbrt.f64 (*.f64 (+.f64 n 1) (log1p.f64 n))) (*.f64 (log.f64 n) (neg.f64 n)))
(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)))) (fma.f64 (neg.f64 (log.f64 n)) n (*.f64 n (log.f64 n))))
(fma.f64 (sqrt.f64 (*.f64 (+.f64 n 1) (log1p.f64 n))) (sqrt.f64 (*.f64 (+.f64 n 1) (log1p.f64 n))) (*.f64 (log.f64 n) (neg.f64 n)))
(+.f64 (log1p.f64 n) (*.f64 n (log1p.f64 n)))
(+.f64 (log1p.f64 n) (*.f64 (log1p.f64 n) n))
(+.f64 (*.f64 n (log1p.f64 n)) (log1p.f64 n))
(+.f64 (*.f64 (log1p.f64 n) n) (log1p.f64 n))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (+.f64 n 1) (log1p.f64 n)))) 1)
(/.f64 (*.f64 (log1p.f64 n) (+.f64 1 (pow.f64 n 3))) (fma.f64 n n (-.f64 1 n)))
(/.f64 (*.f64 (log1p.f64 n) (fma.f64 n n -1)) (+.f64 n -1))
(/.f64 (*.f64 (+.f64 1 (pow.f64 n 3)) (log1p.f64 n)) (fma.f64 n n (-.f64 1 n)))
(/.f64 (*.f64 (fma.f64 n n -1) (log1p.f64 n)) (+.f64 n -1))
(pow.f64 (*.f64 (+.f64 n 1) (log1p.f64 n)) 1)
(pow.f64 (cbrt.f64 (*.f64 (+.f64 n 1) (log1p.f64 n))) 3)
(pow.f64 (sqrt.f64 (*.f64 (+.f64 n 1) (log1p.f64 n))) 2)
(pow.f64 (pow.f64 (*.f64 (+.f64 n 1) (log1p.f64 n)) 3) 1/3)
(sqrt.f64 (pow.f64 (*.f64 (+.f64 n 1) (log1p.f64 n)) 2))
(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 (fma.f64 n (log.f64 n) 1) 1)
(pow.f64 (*.f64 n (log.f64 n)) 1)
(pow.f64 (cbrt.f64 (*.f64 n (log.f64 n))) 3)
(pow.f64 (sqrt.f64 (*.f64 n (log.f64 n))) 2)
(pow.f64 (pow.f64 (*.f64 n (log.f64 n)) 3) 1/3)
(sqrt.f64 (pow.f64 (*.f64 n (log.f64 n)) 2))
(log.f64 (pow.f64 n n))
(log.f64 (+.f64 1 (-.f64 (pow.f64 n n) 1)))
(cbrt.f64 (pow.f64 (*.f64 n (log.f64 n)) 3))
(expm1.f64 (log1p.f64 (*.f64 n (log.f64 n))))
(exp.f64 (log.f64 (*.f64 n (log.f64 n))))
(exp.f64 (*.f64 (log.f64 (*.f64 n (log.f64 n))) 1))
(log1p.f64 (-.f64 (pow.f64 n n) 1))
Outputs
-1
(-.f64 (*.f64 -1 (*.f64 n (log.f64 n))) 1)
(fma.f64 (log.f64 n) (neg.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)) (pow.f64 n 2)) -1)
(fma.f64 (log.f64 n) (neg.f64 n) (fma.f64 n n -1))
(-.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) (pow.f64 n 2))) -1)
(+.f64 (fma.f64 -1/2 (pow.f64 n 3) (pow.f64 n 2)) (fma.f64 (log.f64 n) (neg.f64 n) -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 (pow.f64 n 2)) (/.f64 1/2 n))
(+.f64 (/.f64 1/3 (pow.f64 n 2)) (/.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 (pow.f64 n 2)) (+.f64 (/.f64 1/2 n) (/.f64 1/4 (pow.f64 n 3))))
(+.f64 (-.f64 (/.f64 1/3 (pow.f64 n 2)) (/.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 (/.f64 1/3 (pow.f64 n 2)) (/.f64 1/5 (pow.f64 n 4))) (+.f64 (/.f64 1/2 n) (/.f64 1/4 (pow.f64 n 3))))
(+.f64 (+.f64 (-.f64 (/.f64 1/3 (pow.f64 n 2)) (/.f64 1/4 (pow.f64 n 3))) (/.f64 -1/2 n)) (/.f64 1/5 (pow.f64 n 4)))
(/.f64 -1/2 n)
(-.f64 (*.f64 1/3 (/.f64 1 (pow.f64 n 2))) (*.f64 1/2 (/.f64 1 n)))
(-.f64 (/.f64 1/3 (pow.f64 n 2)) (/.f64 1/2 n))
(+.f64 (/.f64 1/3 (pow.f64 n 2)) (/.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 (pow.f64 n 2)) (+.f64 (/.f64 1/2 n) (/.f64 1/4 (pow.f64 n 3))))
(+.f64 (-.f64 (/.f64 1/3 (pow.f64 n 2)) (/.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 (/.f64 1/3 (pow.f64 n 2)) (/.f64 1/5 (pow.f64 n 4))) (+.f64 (/.f64 1/2 n) (/.f64 1/4 (pow.f64 n 3))))
(+.f64 (+.f64 (-.f64 (/.f64 1/3 (pow.f64 n 2)) (/.f64 1/4 (pow.f64 n 3))) (/.f64 -1/2 n)) (/.f64 1/5 (pow.f64 n 4)))
(*.f64 -1 (log.f64 n))
(neg.f64 (log.f64 n))
(+.f64 n (*.f64 -1 (log.f64 n)))
(+.f64 n (neg.f64 (log.f64 n)))
(-.f64 n (log.f64 n))
(+.f64 n (+.f64 (*.f64 -1 (log.f64 n)) (*.f64 -1/2 (pow.f64 n 2))))
(+.f64 n (fma.f64 -1 (log.f64 n) (*.f64 (pow.f64 n 2) -1/2)))
(+.f64 n (-.f64 (*.f64 (pow.f64 n 2) -1/2) (log.f64 n)))
(+.f64 n (+.f64 (*.f64 -1 (log.f64 n)) (+.f64 (*.f64 -1/2 (pow.f64 n 2)) (*.f64 1/3 (pow.f64 n 3)))))
(+.f64 n (fma.f64 -1 (log.f64 n) (fma.f64 -1/2 (pow.f64 n 2) (*.f64 (pow.f64 n 3) 1/3))))
(+.f64 (fma.f64 (pow.f64 n 3) 1/3 (*.f64 (pow.f64 n 2) -1/2)) (-.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 1/3 (pow.f64 n 3)) (-.f64 (+.f64 (/.f64 1 n) (/.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 1/3 (pow.f64 n 3)) (-.f64 (+.f64 (/.f64 1 n) (/.f64 -1/2 (pow.f64 n 2))) (/.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 (pow.f64 n 2) 1/2) (fma.f64 n (-.f64 1 (log.f64 n)) -1))
(fma.f64 (pow.f64 n 2) 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 (pow.f64 n 2) (*.f64 n (-.f64 1 (log.f64 n))))) -1)
(fma.f64 (pow.f64 n 3) -1/6 (fma.f64 (pow.f64 n 2) 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 (pow.f64 n 2)))
(+.f64 (log.f64 n) (-.f64 (/.f64 1/2 n) (/.f64 1/6 (pow.f64 n 2))))
(-.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 (pow.f64 n 2)))
(+.f64 (log.f64 n) (+.f64 (/.f64 1/12 (pow.f64 n 3)) (-.f64 (/.f64 1/2 n) (/.f64 1/6 (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 1/2 (/.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 (pow.f64 n 2))))
(+.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 n))) (-.f64 (/.f64 1/2 n) (/.f64 1/6 (pow.f64 n 2))))
(-.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 (log.f64 -1) (-.f64 (fma.f64 -1 (log.f64 (/.f64 -1 n)) (+.f64 (/.f64 1/2 n) (/.f64 1/12 (pow.f64 n 3)))) (/.f64 1/6 (pow.f64 n 2))))
(+.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 n))) (+.f64 (/.f64 1/12 (pow.f64 n 3)) (-.f64 (/.f64 1/2 n) (/.f64 1/6 (pow.f64 n 2)))))
n
(+.f64 n (*.f64 1/2 (pow.f64 n 2)))
(+.f64 n (*.f64 (pow.f64 n 2) 1/2))
(fma.f64 (pow.f64 n 2) 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 (pow.f64 n 2) 1/2)))
(+.f64 n (fma.f64 (pow.f64 n 2) 1/2 (*.f64 (pow.f64 n 3) -1/6)))
(+.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 (pow.f64 n 2) 1/2))))
(+.f64 n (fma.f64 (pow.f64 n 3) -1/6 (fma.f64 (pow.f64 n 4) 1/12 (*.f64 (pow.f64 n 2) 1/2))))
(*.f64 -1 (*.f64 n (log.f64 (/.f64 1 n))))
(*.f64 (neg.f64 n) (neg.f64 (log.f64 n)))
(*.f64 n (log.f64 n))
(+.f64 1 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 n))) (*.f64 -1 (*.f64 n (log.f64 (/.f64 1 n))))))
(+.f64 1 (*.f64 -1 (+.f64 (neg.f64 (log.f64 n)) (*.f64 n (neg.f64 (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 n (neg.f64 (log.f64 n))) (/.f64 1/2 n))))
(+.f64 (+.f64 (log.f64 n) (fma.f64 n (log.f64 n) 1)) (/.f64 1/2 n))
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(expm1.f64 (log1p.f64 (-.f64 (*.f64 (+.f64 n 1) (log1p.f64 n)) (*.f64 n (log.f64 n)))))
(fma.f64 (log.f64 n) (neg.f64 n) (*.f64 (log1p.f64 n) (+.f64 n 1)))
(+.f64 (log1p.f64 n) (*.f64 n (-.f64 (log1p.f64 n) (log.f64 n))))
(exp.f64 (log.f64 (-.f64 (*.f64 (+.f64 n 1) (log1p.f64 n)) (*.f64 n (log.f64 n)))))
(fma.f64 (log.f64 n) (neg.f64 n) (*.f64 (log1p.f64 n) (+.f64 n 1)))
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(log1p.f64 (-.f64 (/.f64 (pow.f64 (+.f64 n 1) (+.f64 n 1)) (pow.f64 n n)) 1))
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(log1p.f64 (+.f64 -1 (/.f64 (pow.f64 (+.f64 n 1) (+.f64 n 1)) (pow.f64 n n))))
(fma.f64 1 (*.f64 (+.f64 n 1) (log1p.f64 n)) (*.f64 (log.f64 n) (neg.f64 n)))
(fma.f64 (log.f64 n) (neg.f64 n) (*.f64 (log1p.f64 n) (+.f64 n 1)))
(+.f64 (log1p.f64 n) (*.f64 n (-.f64 (log1p.f64 n) (log.f64 n))))
(fma.f64 1 (-.f64 (*.f64 (+.f64 n 1) (log1p.f64 n)) (*.f64 n (log.f64 n))) (fma.f64 (neg.f64 (log.f64 n)) n (*.f64 n (log.f64 n))))
(fma.f64 (+.f64 n 1) (log1p.f64 n) (fma.f64 (log.f64 n) (neg.f64 n) (fma.f64 (neg.f64 (log.f64 n)) n (*.f64 n (log.f64 n)))))
(-.f64 (*.f64 (log1p.f64 n) (+.f64 n 1)) (fma.f64 n (log.f64 n) (*.f64 n (*.f64 0 (log.f64 n)))))
(fma.f64 (+.f64 n 1) (log1p.f64 n) (*.f64 (log.f64 n) (neg.f64 n)))
(fma.f64 (log.f64 n) (neg.f64 n) (*.f64 (log1p.f64 n) (+.f64 n 1)))
(+.f64 (log1p.f64 n) (*.f64 n (-.f64 (log1p.f64 n) (log.f64 n))))
(fma.f64 (log1p.f64 n) (+.f64 n 1) (*.f64 (log.f64 n) (neg.f64 n)))
(fma.f64 (log.f64 n) (neg.f64 n) (*.f64 (log1p.f64 n) (+.f64 n 1)))
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(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)))) (fma.f64 (neg.f64 (log.f64 n)) n (*.f64 n (log.f64 n))))
(fma.f64 (+.f64 n 1) (log1p.f64 n) (fma.f64 (log.f64 n) (neg.f64 n) (fma.f64 (neg.f64 (log.f64 n)) n (*.f64 n (log.f64 n)))))
(-.f64 (*.f64 (log1p.f64 n) (+.f64 n 1)) (fma.f64 n (log.f64 n) (*.f64 n (*.f64 0 (log.f64 n)))))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 (+.f64 n 1) (log1p.f64 n))) 2) (cbrt.f64 (*.f64 (+.f64 n 1) (log1p.f64 n))) (*.f64 (log.f64 n) (neg.f64 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)))) (fma.f64 (neg.f64 (log.f64 n)) n (*.f64 n (log.f64 n))))
(fma.f64 (+.f64 n 1) (log1p.f64 n) (fma.f64 (log.f64 n) (neg.f64 n) (fma.f64 (neg.f64 (log.f64 n)) n (*.f64 n (log.f64 n)))))
(-.f64 (*.f64 (log1p.f64 n) (+.f64 n 1)) (fma.f64 n (log.f64 n) (*.f64 n (*.f64 0 (log.f64 n)))))
(fma.f64 (sqrt.f64 (*.f64 (+.f64 n 1) (log1p.f64 n))) (sqrt.f64 (*.f64 (+.f64 n 1) (log1p.f64 n))) (*.f64 (log.f64 n) (neg.f64 n)))
(fma.f64 (log.f64 n) (neg.f64 n) (*.f64 (log1p.f64 n) (+.f64 n 1)))
(+.f64 (log1p.f64 n) (*.f64 n (-.f64 (log1p.f64 n) (log.f64 n))))
(+.f64 (log1p.f64 n) (*.f64 n (log1p.f64 n)))
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(+.f64 (log1p.f64 n) (*.f64 (log1p.f64 n) n))
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(+.f64 (*.f64 n (log1p.f64 n)) (log1p.f64 n))
(*.f64 (log1p.f64 n) (+.f64 n 1))
(+.f64 (*.f64 (log1p.f64 n) n) (log1p.f64 n))
(*.f64 (log1p.f64 n) (+.f64 n 1))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (+.f64 n 1) (log1p.f64 n)))) 1)
(*.f64 (log1p.f64 n) (+.f64 n 1))
(/.f64 (*.f64 (log1p.f64 n) (+.f64 1 (pow.f64 n 3))) (fma.f64 n n (-.f64 1 n)))
(/.f64 (log1p.f64 n) (/.f64 (fma.f64 n n (-.f64 1 n)) (+.f64 1 (pow.f64 n 3))))
(/.f64 (*.f64 (log1p.f64 n) (fma.f64 n n -1)) (+.f64 n -1))
(/.f64 (log1p.f64 n) (/.f64 (+.f64 -1 n) (fma.f64 n n -1)))
(*.f64 (/.f64 (log1p.f64 n) (+.f64 -1 n)) (fma.f64 n n -1))
(/.f64 (*.f64 (+.f64 1 (pow.f64 n 3)) (log1p.f64 n)) (fma.f64 n n (-.f64 1 n)))
(/.f64 (log1p.f64 n) (/.f64 (fma.f64 n n (-.f64 1 n)) (+.f64 1 (pow.f64 n 3))))
(/.f64 (*.f64 (fma.f64 n n -1) (log1p.f64 n)) (+.f64 n -1))
(/.f64 (log1p.f64 n) (/.f64 (+.f64 -1 n) (fma.f64 n n -1)))
(*.f64 (/.f64 (log1p.f64 n) (+.f64 -1 n)) (fma.f64 n n -1))
(pow.f64 (*.f64 (+.f64 n 1) (log1p.f64 n)) 1)
(*.f64 (log1p.f64 n) (+.f64 n 1))
(pow.f64 (cbrt.f64 (*.f64 (+.f64 n 1) (log1p.f64 n))) 3)
(*.f64 (log1p.f64 n) (+.f64 n 1))
(pow.f64 (sqrt.f64 (*.f64 (+.f64 n 1) (log1p.f64 n))) 2)
(*.f64 (log1p.f64 n) (+.f64 n 1))
(pow.f64 (pow.f64 (*.f64 (+.f64 n 1) (log1p.f64 n)) 3) 1/3)
(*.f64 (log1p.f64 n) (+.f64 n 1))
(sqrt.f64 (pow.f64 (*.f64 (+.f64 n 1) (log1p.f64 n)) 2))
(*.f64 (log1p.f64 n) (+.f64 n 1))
(log.f64 (pow.f64 (+.f64 n 1) (+.f64 n 1)))
(*.f64 (log1p.f64 n) (+.f64 n 1))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (+.f64 n 1) (log1p.f64 n)))))
(*.f64 (log1p.f64 n) (+.f64 n 1))
(cbrt.f64 (pow.f64 (*.f64 (+.f64 n 1) (log1p.f64 n)) 3))
(*.f64 (log1p.f64 n) (+.f64 n 1))
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(*.f64 (log1p.f64 n) (+.f64 n 1))
(exp.f64 (+.f64 (log1p.f64 n) (log.f64 (log1p.f64 n))))
(*.f64 (log1p.f64 n) (+.f64 n 1))
(exp.f64 (*.f64 (+.f64 (log1p.f64 n) (log.f64 (log1p.f64 n))) 1))
(*.f64 (log1p.f64 n) (+.f64 n 1))
(log1p.f64 (expm1.f64 (*.f64 (+.f64 n 1) (log1p.f64 n))))
(*.f64 (log1p.f64 n) (+.f64 n 1))
(-.f64 (fma.f64 n (log.f64 n) 1) 1)
(+.f64 (fma.f64 n (log.f64 n) 1) -1)
(+.f64 (*.f64 n (log.f64 n)) 0)
(pow.f64 (*.f64 n (log.f64 n)) 1)
(*.f64 (neg.f64 n) (neg.f64 (log.f64 n)))
(*.f64 n (log.f64 n))
(pow.f64 (cbrt.f64 (*.f64 n (log.f64 n))) 3)
(*.f64 (neg.f64 n) (neg.f64 (log.f64 n)))
(*.f64 n (log.f64 n))
(pow.f64 (sqrt.f64 (*.f64 n (log.f64 n))) 2)
(*.f64 (neg.f64 n) (neg.f64 (log.f64 n)))
(*.f64 n (log.f64 n))
(pow.f64 (pow.f64 (*.f64 n (log.f64 n)) 3) 1/3)
(*.f64 (neg.f64 n) (neg.f64 (log.f64 n)))
(*.f64 n (log.f64 n))
(sqrt.f64 (pow.f64 (*.f64 n (log.f64 n)) 2))
(*.f64 (neg.f64 n) (neg.f64 (log.f64 n)))
(*.f64 n (log.f64 n))
(log.f64 (pow.f64 n n))
(*.f64 (neg.f64 n) (neg.f64 (log.f64 n)))
(*.f64 n (log.f64 n))
(log.f64 (+.f64 1 (-.f64 (pow.f64 n n) 1)))
(log1p.f64 (+.f64 (pow.f64 n n) -1))
(log1p.f64 (+.f64 -1 (pow.f64 n n)))
(cbrt.f64 (pow.f64 (*.f64 n (log.f64 n)) 3))
(*.f64 (neg.f64 n) (neg.f64 (log.f64 n)))
(*.f64 n (log.f64 n))
(expm1.f64 (log1p.f64 (*.f64 n (log.f64 n))))
(*.f64 (neg.f64 n) (neg.f64 (log.f64 n)))
(*.f64 n (log.f64 n))
(exp.f64 (log.f64 (*.f64 n (log.f64 n))))
(*.f64 (neg.f64 n) (neg.f64 (log.f64 n)))
(*.f64 n (log.f64 n))
(exp.f64 (*.f64 (log.f64 (*.f64 n (log.f64 n))) 1))
(*.f64 (neg.f64 n) (neg.f64 (log.f64 n)))
(*.f64 n (log.f64 n))
(log1p.f64 (-.f64 (pow.f64 n n) 1))
(log1p.f64 (+.f64 (pow.f64 n n) -1))
(log1p.f64 (+.f64 -1 (pow.f64 n n)))

eval339.0ms (4.7%)

Compiler

Compiled 9838 to 5508 computations (44% saved)

prune203.0ms (2.8%)

Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New4681469
Fresh000
Picked303
Done000
Total4711472
Accuracy
100.0%
Counts
472 → 1
Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(log.f64 n)
Compiler

Compiled 3 to 2 computations (33.3% saved)

localize33.0ms (0.5%)

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)

regimes8.0ms (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 32 to 23 computations (28.1% saved)

simplify2.0ms (0%)

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
068
Stop Event
done
saturated
Calls
Call 1
Inputs
(log.f64 n)
Outputs
(log.f64 n)
Compiler

Compiled 3 to 2 computations (33.3% saved)

soundness660.0ms (9.2%)

Rules
2386×associate--l+
1216×sub-neg
1110×fma-def
1060×unsub-neg
966×fma-neg
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
023256
161208
2163200
3523200
42076196
54562196
65650196
76508196
86954196
97137196
107152196
117155196
127155196
137158196
147212196
157212196
054615906
1149414526
2617614526
Stop Event
node limit
node limit
Compiler

Compiled 49 to 32 computations (34.7% saved)

end0.0ms (0%)

preprocess40.0ms (0.6%)

Compiler

Compiled 88 to 68 computations (22.7% saved)

Profiling

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