logs (example 3.8)

Time bar (total: 7.9s)

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)

sample3.9s (49.5%)

Results
0.0ms512valid
0.0ms1024valid
0.0ms1024valid
0.0ms1024valid
0.0ms1024valid
0.0ms256valid
0.0ms512valid
0.0ms256valid
0.0ms512valid
0.0ms1024valid
0.0ms256valid
0.0ms512valid
0.0ms1024valid
0.0ms512valid
1.0ms2048valid
0.0ms512valid
1.0ms2048valid
1.0ms2048valid
0.0ms1024valid
0.0ms256valid
0.0ms256valid
0.0ms1024valid
0.0ms1024valid
0.0ms1024valid
0.0ms512valid
0.0ms1024valid
0.0ms1024valid
0.0ms512valid
0.0ms512valid
0.0ms1024valid
0.0ms512valid
0.0ms1024valid
0.0ms1024valid
0.0ms256valid
0.0ms256valid
0.0ms1024valid
0.0ms512valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
65.0ms512valid
0.0ms256valid
0.0ms1024valid
0.0ms512valid
0.0ms1024valid
0.0ms512valid
0.0ms1024valid
0.0ms1024valid
0.0ms1024valid
0.0ms1024valid
0.0ms256valid
0.0ms1024valid
0.0ms1024valid
0.0ms512valid
0.0ms1024valid
0.0ms512valid
0.0ms512valid
0.0ms256valid
0.0ms256valid
0.0ms1024valid
0.0ms1024valid
0.0ms512valid
0.0ms512valid
0.0ms1024valid
0.0ms512valid
0.0ms1024valid
0.0ms1024valid
0.0ms1024valid
0.0ms512valid
0.0ms1024valid
0.0ms256valid
1.0ms2048valid
0.0ms1024valid
0.0ms1024valid
0.0ms512valid
0.0ms512valid
0.0ms1024valid
0.0ms1024valid
0.0ms256valid
0.0ms1024valid
0.0ms1024valid
0.0ms512valid
0.0ms1024valid
0.0ms1024valid
0.0ms1024valid
0.0ms1024valid
0.0ms1024valid
0.0ms512valid
0.0ms512valid
0.0ms1024valid
0.0ms1024valid
0.0ms512valid
0.0ms1024valid
0.0ms1024valid
0.0ms512valid
0.0ms256valid
0.0ms1024valid
0.0ms512valid
0.0ms1024valid
0.0ms1024valid
0.0ms256valid
0.0ms512valid
0.0ms512valid
0.0ms512valid
0.0ms256valid
0.0ms256valid
0.0ms512valid
0.0ms1024valid
0.0ms512valid
0.0ms256valid
0.0ms1024valid
0.0ms1024valid
0.0ms512valid
0.0ms512valid
1.0ms2048valid
0.0ms1024valid
0.0ms1024valid
0.0ms1024valid
0.0ms1024valid
0.0ms1024valid
0.0ms1024valid
0.0ms1024valid
0.0ms1024valid
0.0ms1024valid
0.0ms256valid
0.0ms512valid
0.0ms1024valid
0.0ms512valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
1.0ms2048valid
0.0ms512valid
0.0ms1024valid
0.0ms512valid
0.0ms512valid
0.0ms256valid
0.0ms1024valid
1.0ms256valid
0.0ms1024valid
0.0ms1024valid
0.0ms256valid
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0.0ms512valid
0.0ms1024valid
0.0ms1024valid
0.0ms1024valid
0.0ms1024valid
0.0ms1024valid
0.0ms1024valid
0.0ms1024valid
0.0ms512valid
0.0ms256valid
0.0ms512valid
0.0ms512valid
0.0ms512valid
0.0ms256valid
0.0ms1024valid
0.0ms512valid
0.0ms1024valid
0.0ms1024valid
0.0ms1024valid
0.0ms512valid
0.0ms1024valid
0.0ms512valid
0.0ms1024valid
0.0ms256valid
0.0ms1024valid
1.0ms2048valid
0.0ms256valid
0.0ms512valid
0.0ms1024valid
0.0ms1024valid
0.0ms512valid
0.0ms512valid
0.0ms1024valid
0.0ms1024valid
0.0ms512valid
0.0ms512valid
0.0ms256valid
0.0ms512valid
0.0ms512valid
0.0ms512valid
0.0ms512valid
0.0ms1024valid
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0.0ms256valid
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0.0ms256valid
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0.0ms512valid
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0.0ms256valid
0.0ms1024valid
0.0ms256valid
0.0ms1024valid
0.0ms256valid
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0.0ms1024valid
0.0ms512valid
0.0ms512valid
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0.0ms1024valid
0.0ms512valid
0.0ms1024valid
0.0ms512valid
0.0ms512valid
0.0ms256valid
12.0ms1024valid
0.0ms1024valid
0.0ms512valid
0.0ms512valid
0.0ms1024valid
0.0ms1024valid
0.0ms512valid
0.0ms1024valid
0.0ms256valid
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0.0ms1024valid
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0.0ms1024valid
0.0ms1024valid
0.0ms1024valid
0.0ms1024valid
0.0ms1024valid
0.0ms1024valid
0.0ms1024valid
0.0ms512valid
0.0ms256valid
0.0ms1024valid
0.0ms1024valid
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0.0ms512valid
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0.0ms1024valid
0.0ms1024valid
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0.0ms512valid
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0.0ms512valid
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0.0ms256valid
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0.0ms1024valid
0.0ms1024valid
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0.0ms512valid
0.0ms1024valid
0.0ms512valid
0.0ms512valid
0.0ms512valid
0.0ms512valid
0.0ms1024valid
0.0ms256valid
1.0ms1024valid
0.0ms256valid
0.0ms256valid
0.0ms512valid
0.0ms512valid
0.0ms1024valid
0.0ms512valid
0.0ms256valid
0.0ms512valid
0.0ms1024valid
0.0ms512valid
0.0ms1024valid
0.0ms1024valid
0.0ms512valid
0.0ms1024valid
0.0ms256valid
0.0ms256valid
0.0ms512valid
1.0ms2048valid
0.0ms1024valid
0.0ms512valid
0.0ms256valid
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0.0ms512valid
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0.0ms512valid
0.0ms512valid
1.0ms2048valid
0.0ms1024valid
0.0ms1024valid
0.0ms1024valid
0.0ms256valid
0.0ms512valid
0.0ms512valid
0.0ms1024valid
1.0ms2048valid
0.0ms1024valid
0.0ms1024valid
0.0ms1024valid
0.0ms1024valid
0.0ms1024valid
0.0ms512valid
0.0ms1024valid
0.0ms256valid
0.0ms512valid
0.0ms1024valid
0.0ms512valid
0.0ms1024valid
0.0ms1024valid
0.0ms1024valid
0.0ms256valid
0.0ms256valid
0.0ms512valid
0.0ms1024valid
0.0ms256valid
0.0ms1024valid
0.0ms1024valid
0.0ms1024valid
0.0ms1024valid
0.0ms256valid
1.0ms2048valid
0.0ms256valid
0.0ms1024valid
0.0ms512valid
0.0ms256valid
0.0ms1024valid
0.0ms256valid
0.0ms1024valid
0.0ms1024valid
0.0ms1024valid
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0.0ms512valid
0.0ms1024valid
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1.0ms1024valid
0.0ms512valid
0.0ms1024valid
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0.0ms512valid
0.0ms256valid
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0.0ms1024valid
0.0ms1024valid
0.0ms1024valid
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0.0ms512valid
0.0ms512valid
0.0ms256valid
0.0ms256valid
0.0ms1024valid
0.0ms1024valid
0.0ms512valid
0.0ms1024valid
1.0ms2048valid
0.0ms1024valid
0.0ms1024valid
0.0ms1024valid
0.0ms1024valid
0.0ms1024valid
0.0ms1024valid
0.0ms512valid
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0.0ms256valid
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0.0ms1024valid
0.0ms256valid
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0.0ms1024valid
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0.0ms1024valid
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0.0ms512valid
0.0ms512valid
0.0ms1024valid
0.0ms1024valid
0.0ms1024valid
0.0ms512valid
0.0ms1024valid
0.0ms1024valid
0.0ms1024valid
0.0ms1024valid
0.0ms1024valid
0.0ms1024valid
0.0ms1024valid
0.0ms256valid
0.0ms1024valid
0.0ms1024valid
0.0ms512valid
0.0ms256valid
0.0ms1024valid
0.0ms1024valid
0.0ms256valid
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0.0ms256valid
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0.0ms512valid
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0.0ms1024valid
75.0ms512valid
0.0ms1024valid
0.0ms1024valid
0.0ms256valid
0.0ms512valid
0.0ms1024valid
0.0ms1024valid
0.0ms1024valid
0.0ms1024valid
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0.0ms256valid
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0.0ms512valid
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0.0ms1024valid
0.0ms1024valid
0.0ms256valid
0.0ms1024valid
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0.0ms512valid
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0.0ms256valid
0.0ms1024valid
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0.0ms1024valid
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0.0ms1024valid
0.0ms1024valid
0.0ms1024valid
0.0ms512valid
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0.0ms256valid
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0.0ms256valid
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0.0ms1024valid
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57.0ms512valid
0.0ms1024valid
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0.0ms256valid
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1.0ms2048valid
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0.0ms256valid
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0.0ms256valid
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1.0ms2048valid
0.0ms1024valid
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1.0ms2048valid
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1.0ms2048valid
0.0ms256valid
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0.0ms1024valid
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0.0ms512valid
0.0ms1024valid
2.0ms1024valid
0.0ms1024valid
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1.0ms2048valid
0.0ms256valid
1.0ms2048valid
0.0ms1024valid
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1.0ms2048valid
0.0ms1024valid
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0.0ms1024valid
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0.0ms512valid
0.0ms1024valid
10.0ms1024valid
0.0ms1024valid
0.0ms256valid
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1.0ms2048valid
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0.0ms256valid
2.0ms512valid
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0.0ms256valid
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0.0ms512valid
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1.0ms2048valid
0.0ms512valid
0.0ms512valid
Bogosity

preprocess881.0ms (11.1%)

Algorithm
egg-herbie
Rules
2392×associate--l+
1208×sub-neg
1120×fma-neg
1068×unsub-neg
816×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
3519200
42035196
54516196
65617196
76466196
86912196
97095196
107110196
117113196
127113196
137116196
147170196
157170196
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))
(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)

localize737.0ms (9.3%)

Localize:

Found 9 expressions with local error:

NewAccuracyProgram
99.7%
(*.f64 (+.f64 n 1) (log.f64 (+.f64 n 1)))
99.7%
(*.f64 n (log.f64 n))
3.2%
(-.f64 (*.f64 (+.f64 n 1) (log.f64 (+.f64 n 1))) (*.f64 n (log.f64 n)))
100.0%
(+.f64 (*.f64 n (log.f64 n)) 1)
99.7%
(*.f64 (+.f64 n 1) (log.f64 (+.f64 n 1)))
99.7%
(*.f64 n (log.f64 n))
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)

series79.0ms (1%)

Counts
9 → 100
Calls

27 calls:

TimeVariablePointExpression
39.0ms
n
@0
(*.f64 n (log.f64 n))
13.0ms
n
@-inf
(*.f64 n (log.f64 n))
9.0ms
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
(fma.f64 n (-.f64 (log1p.f64 n) (log.f64 n)) -1)

rewrite744.0ms (9.4%)

Algorithm
batch-egg-rewrite
Rules
1142×fma-neg
1023×log1p-expm1-u
1023×expm1-log1p-u
198×associate-*r*
141×add-cube-cbrt
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
020244
1315244
24373244
Stop Event
node limit
Counts
9 → 316
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 n (log.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)))
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)))
(log1p.f64 (expm1.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))
(+.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 (expm1.f64 (-.f64 (log1p.f64 n) (log.f64 n)))))
(cbrt.f64 (pow.f64 (-.f64 (log1p.f64 n) (log.f64 n)) 3))
(expm1.f64 (log1p.f64 (-.f64 (log1p.f64 n) (log.f64 n))))
(log1p.f64 (expm1.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))
(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)) (pow.f64 (cbrt.f64 (log1p.f64 n)) 2) (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)) (fma.f64 (log.f64 n) (neg.f64 n) -1))
(+.f64 (fma.f64 (+.f64 n 1) (log1p.f64 n) (neg.f64 (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 (fma.f64 (+.f64 n 1) (log1p.f64 n) (neg.f64 (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 (fma.f64 (+.f64 n 1) (log1p.f64 n) (neg.f64 (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 (fma.f64 (+.f64 n 1) (log1p.f64 n) (neg.f64 (fma.f64 n (log.f64 n) 1))))
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(+.f64 (-.f64 (*.f64 (+.f64 n 1) (log1p.f64 n)) (*.f64 n (log.f64 n))) (fma.f64 (neg.f64 (sqrt.f64 (*.f64 n (log.f64 n)))) (sqrt.f64 (*.f64 n (log.f64 n))) (*.f64 n (log.f64 n))))
(+.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 (-.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))) (fma.f64 (neg.f64 (log.f64 n)) n (*.f64 n (log.f64 n)))))
(+.f64 (fma.f64 (neg.f64 (log.f64 n)) n (*.f64 n (log.f64 n))) (-.f64 (*.f64 (+.f64 n 1) (log1p.f64 n)) (*.f64 n (log.f64 n))))
(+.f64 (*.f64 (log.f64 n) (neg.f64 n)) (*.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 (+.f64 n 1) (log1p.f64 n)) (*.f64 n (log.f64 n))) 1)
(*.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))
(*.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)))))
(*.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)))))
(*.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)))))))
(*.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)))))
(*.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)))))
(/.f64 1 (/.f64 (+.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))))) (-.f64 (pow.f64 (*.f64 (+.f64 n 1) (log1p.f64 n)) 3) (pow.f64 (*.f64 n (log.f64 n)) 3))))
(/.f64 1 (/.f64 (fma.f64 (+.f64 n 1) (log1p.f64 n) (*.f64 n (log.f64 n))) (-.f64 (pow.f64 (*.f64 (+.f64 n 1) (log1p.f64 n)) 2) (pow.f64 (*.f64 n (log.f64 n)) 2))))
(/.f64 (-.f64 (pow.f64 (*.f64 (+.f64 n 1) (log1p.f64 n)) 3) (pow.f64 (*.f64 n (log.f64 n)) 3)) (+.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))))))
(/.f64 (-.f64 (pow.f64 (*.f64 (+.f64 n 1) (log1p.f64 n)) 2) (pow.f64 (*.f64 n (log.f64 n)) 2)) (fma.f64 (+.f64 n 1) (log1p.f64 n) (*.f64 n (log.f64 n))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (+.f64 n 1) (log1p.f64 n)) 3) (pow.f64 (*.f64 n (log.f64 n)) 3))) (neg.f64 (+.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)))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (+.f64 n 1) (log1p.f64 n)) 2) (pow.f64 (*.f64 n (log.f64 n)) 2))) (neg.f64 (fma.f64 (+.f64 n 1) (log1p.f64 n) (*.f64 n (log.f64 n)))))
(/.f64 (+.f64 (pow.f64 (*.f64 (+.f64 n 1) (log1p.f64 n)) 3) (pow.f64 (*.f64 (log.f64 n) (neg.f64 n)) 3)) (+.f64 (pow.f64 (*.f64 (+.f64 n 1) (log1p.f64 n)) 2) (-.f64 (*.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))) 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)))))
(log1p.f64 (-.f64 (/.f64 (pow.f64 (+.f64 n 1) (+.f64 n 1)) (pow.f64 n n)) 1))
(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))
(fma.f64 1 (*.f64 (+.f64 n 1) (log1p.f64 n)) (*.f64 (log.f64 n) (neg.f64 n)))
(fma.f64 1 (*.f64 (+.f64 n 1) (log1p.f64 n)) (neg.f64 (-.f64 (*.f64 n (log.f64 n)) (fma.f64 (neg.f64 (log.f64 n)) n (*.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) (*.f64 (log.f64 n) (neg.f64 n)))
(fma.f64 (+.f64 n 1) (log1p.f64 n) (neg.f64 (-.f64 (*.f64 n (log.f64 n)) (fma.f64 (neg.f64 (log.f64 n)) n (*.f64 n (log.f64 n))))))
(fma.f64 (log1p.f64 n) (+.f64 n 1) (*.f64 (log.f64 n) (neg.f64 n)))
(fma.f64 (log1p.f64 n) (+.f64 n 1) (neg.f64 (-.f64 (*.f64 n (log.f64 n)) (fma.f64 (neg.f64 (log.f64 n)) n (*.f64 n (log.f64 n))))))
(fma.f64 (*.f64 (+.f64 n 1) (log1p.f64 n)) 1 (*.f64 (log.f64 n) (neg.f64 n)))
(fma.f64 (*.f64 (+.f64 n 1) (log1p.f64 n)) 1 (neg.f64 (-.f64 (*.f64 n (log.f64 n)) (fma.f64 (neg.f64 (log.f64 n)) n (*.f64 n (log.f64 n))))))
(fma.f64 (pow.f64 (cbrt.f64 (log1p.f64 n)) 2) (*.f64 (cbrt.f64 (log1p.f64 n)) (+.f64 n 1)) (*.f64 (log.f64 n) (neg.f64 n)))
(fma.f64 (pow.f64 (cbrt.f64 (log1p.f64 n)) 2) (*.f64 (cbrt.f64 (log1p.f64 n)) (+.f64 n 1)) (neg.f64 (-.f64 (*.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 (+.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 n 1)) 2) (*.f64 (cbrt.f64 (+.f64 n 1)) (log1p.f64 n)) (*.f64 (log.f64 n) (neg.f64 n)))
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 n 1)) 2) (*.f64 (cbrt.f64 (+.f64 n 1)) (log1p.f64 n)) (neg.f64 (-.f64 (*.f64 n (log.f64 n)) (fma.f64 (neg.f64 (log.f64 n)) n (*.f64 n (log.f64 n))))))
(fma.f64 (cbrt.f64 (*.f64 (+.f64 n 1) (log1p.f64 n))) (pow.f64 (cbrt.f64 (*.f64 (+.f64 n 1) (log1p.f64 n))) 2) (*.f64 (log.f64 n) (neg.f64 n)))
(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 (-.f64 (*.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 (pow.f64 (cbrt.f64 (*.f64 (+.f64 n 1) (log1p.f64 n))) 2) (cbrt.f64 (*.f64 (+.f64 n 1) (log1p.f64 n))) (neg.f64 (-.f64 (*.f64 n (log.f64 n)) (fma.f64 (neg.f64 (log.f64 n)) n (*.f64 n (log.f64 n))))))
(fma.f64 (sqrt.f64 (log1p.f64 n)) (*.f64 (sqrt.f64 (log1p.f64 n)) (+.f64 n 1)) (*.f64 (log.f64 n) (neg.f64 n)))
(fma.f64 (sqrt.f64 (log1p.f64 n)) (*.f64 (sqrt.f64 (log1p.f64 n)) (+.f64 n 1)) (neg.f64 (-.f64 (*.f64 n (log.f64 n)) (fma.f64 (neg.f64 (log.f64 n)) n (*.f64 n (log.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 (hypot.f64 1 (sqrt.f64 n)) (*.f64 (hypot.f64 1 (sqrt.f64 n)) (log1p.f64 n)) (*.f64 (log.f64 n) (neg.f64 n)))
(fma.f64 (hypot.f64 1 (sqrt.f64 n)) (*.f64 (hypot.f64 1 (sqrt.f64 n)) (log1p.f64 n)) (neg.f64 (-.f64 (*.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)))
(fma.f64 (sqrt.f64 (*.f64 (+.f64 n 1) (log1p.f64 n))) (sqrt.f64 (*.f64 (+.f64 n 1) (log1p.f64 n))) (neg.f64 (-.f64 (*.f64 n (log.f64 n)) (fma.f64 (neg.f64 (log.f64 n)) n (*.f64 n (log.f64 n))))))
(fma.f64 (*.f64 (+.f64 n 1) (pow.f64 (cbrt.f64 (log1p.f64 n)) 2)) (cbrt.f64 (log1p.f64 n)) (*.f64 (log.f64 n) (neg.f64 n)))
(fma.f64 (*.f64 (+.f64 n 1) (pow.f64 (cbrt.f64 (log1p.f64 n)) 2)) (cbrt.f64 (log1p.f64 n)) (neg.f64 (-.f64 (*.f64 n (log.f64 n)) (fma.f64 (neg.f64 (log.f64 n)) n (*.f64 n (log.f64 n))))))
(fma.f64 (*.f64 (+.f64 n 1) (sqrt.f64 (log1p.f64 n))) (sqrt.f64 (log1p.f64 n)) (*.f64 (log.f64 n) (neg.f64 n)))
(fma.f64 (*.f64 (+.f64 n 1) (sqrt.f64 (log1p.f64 n))) (sqrt.f64 (log1p.f64 n)) (neg.f64 (-.f64 (*.f64 n (log.f64 n)) (fma.f64 (neg.f64 (log.f64 n)) n (*.f64 n (log.f64 n))))))
(fma.f64 (*.f64 (log1p.f64 n) (pow.f64 (cbrt.f64 (+.f64 n 1)) 2)) (cbrt.f64 (+.f64 n 1)) (*.f64 (log.f64 n) (neg.f64 n)))
(fma.f64 (*.f64 (log1p.f64 n) (pow.f64 (cbrt.f64 (+.f64 n 1)) 2)) (cbrt.f64 (+.f64 n 1)) (neg.f64 (-.f64 (*.f64 n (log.f64 n)) (fma.f64 (neg.f64 (log.f64 n)) n (*.f64 n (log.f64 n))))))
(fma.f64 (*.f64 (log1p.f64 n) (hypot.f64 1 (sqrt.f64 n))) (hypot.f64 1 (sqrt.f64 n)) (*.f64 (log.f64 n) (neg.f64 n)))
(fma.f64 (*.f64 (log1p.f64 n) (hypot.f64 1 (sqrt.f64 n))) (hypot.f64 1 (sqrt.f64 n)) (neg.f64 (-.f64 (*.f64 n (log.f64 n)) (fma.f64 (neg.f64 (log.f64 n)) n (*.f64 n (log.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))))
(log1p.f64 (-.f64 (pow.f64 n n) 1))
(exp.f64 (log.f64 (*.f64 n (log.f64 n))))
(exp.f64 (*.f64 (log.f64 (*.f64 n (log.f64 n))) 1))
(fma.f64 1 (fma.f64 n (log.f64 n) 1) -1)
(fma.f64 (fma.f64 n (log.f64 n) 1) 1 -1)
(fma.f64 (cbrt.f64 (fma.f64 n (log.f64 n) 1)) (pow.f64 (cbrt.f64 (fma.f64 n (log.f64 n) 1)) 2) -1)
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 n (log.f64 n) 1)) 2) (cbrt.f64 (fma.f64 n (log.f64 n) 1)) -1)
(fma.f64 (sqrt.f64 (fma.f64 n (log.f64 n) 1)) (sqrt.f64 (fma.f64 n (log.f64 n) 1)) -1)
(fma.f64 (+.f64 1 (pow.f64 (*.f64 n (log.f64 n)) 3)) (/.f64 1 (+.f64 (pow.f64 (*.f64 n (log.f64 n)) 2) (-.f64 1 (*.f64 n (log.f64 n))))) -1)
(fma.f64 (+.f64 (pow.f64 (*.f64 n (log.f64 n)) 2) -1) (/.f64 1 (fma.f64 n (log.f64 n) -1)) -1)
(+.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))))
(log1p.f64 (expm1.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))

simplify298.0ms (3.8%)

Algorithm
egg-herbie
Rules
1000×fma-define
786×log-prod
596×associate-*r*
570×associate-*l*
500×+-commutative
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
066821113
1179419288
2696019174
Stop Event
node limit
Counts
416 → 519
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))))
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(+.f64 (*.f64 (+.f64 n 1) (log1p.f64 n)) (*.f64 (log.f64 n) (neg.f64 n)))
(+.f64 (*.f64 (+.f64 n 1) (log1p.f64 n)) (*.f64 (*.f64 (log.f64 n) (neg.f64 n)) 1))
(+.f64 (*.f64 (+.f64 n 1) (log1p.f64 n)) (+.f64 (*.f64 (log.f64 n) (neg.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 (*.f64 (+.f64 n 1) (log1p.f64 n)) (*.f64 n (log.f64 n))) (fma.f64 (neg.f64 n) (log.f64 n) (*.f64 n (log.f64 n))))
(+.f64 (-.f64 (*.f64 (+.f64 n 1) (log1p.f64 n)) (*.f64 n (log.f64 n))) (fma.f64 (*.f64 (log.f64 n) (neg.f64 n)) 1 (*.f64 n (log.f64 n))))
(+.f64 (-.f64 (*.f64 (+.f64 n 1) (log1p.f64 n)) (*.f64 n (log.f64 n))) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 n (log.f64 n)))) (pow.f64 (cbrt.f64 (*.f64 n (log.f64 n))) 2) (*.f64 n (log.f64 n))))
(+.f64 (-.f64 (*.f64 (+.f64 n 1) (log1p.f64 n)) (*.f64 n (log.f64 n))) (fma.f64 (neg.f64 (sqrt.f64 (*.f64 n (log.f64 n)))) (sqrt.f64 (*.f64 n (log.f64 n))) (*.f64 n (log.f64 n))))
(+.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 (-.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))) (fma.f64 (neg.f64 (log.f64 n)) n (*.f64 n (log.f64 n)))))
(+.f64 (fma.f64 (neg.f64 (log.f64 n)) n (*.f64 n (log.f64 n))) (-.f64 (*.f64 (+.f64 n 1) (log1p.f64 n)) (*.f64 n (log.f64 n))))
(+.f64 (*.f64 (log.f64 n) (neg.f64 n)) (*.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 (+.f64 n 1) (log1p.f64 n)) (*.f64 n (log.f64 n))) 1)
(*.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))
(*.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)))))
(*.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)))))
(*.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)))))))
(*.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)))))
(*.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)))))
(/.f64 1 (/.f64 (+.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))))) (-.f64 (pow.f64 (*.f64 (+.f64 n 1) (log1p.f64 n)) 3) (pow.f64 (*.f64 n (log.f64 n)) 3))))
(/.f64 1 (/.f64 (fma.f64 (+.f64 n 1) (log1p.f64 n) (*.f64 n (log.f64 n))) (-.f64 (pow.f64 (*.f64 (+.f64 n 1) (log1p.f64 n)) 2) (pow.f64 (*.f64 n (log.f64 n)) 2))))
(/.f64 (-.f64 (pow.f64 (*.f64 (+.f64 n 1) (log1p.f64 n)) 3) (pow.f64 (*.f64 n (log.f64 n)) 3)) (+.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))))))
(/.f64 (-.f64 (pow.f64 (*.f64 (+.f64 n 1) (log1p.f64 n)) 2) (pow.f64 (*.f64 n (log.f64 n)) 2)) (fma.f64 (+.f64 n 1) (log1p.f64 n) (*.f64 n (log.f64 n))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (+.f64 n 1) (log1p.f64 n)) 3) (pow.f64 (*.f64 n (log.f64 n)) 3))) (neg.f64 (+.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)))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (+.f64 n 1) (log1p.f64 n)) 2) (pow.f64 (*.f64 n (log.f64 n)) 2))) (neg.f64 (fma.f64 (+.f64 n 1) (log1p.f64 n) (*.f64 n (log.f64 n)))))
(/.f64 (+.f64 (pow.f64 (*.f64 (+.f64 n 1) (log1p.f64 n)) 3) (pow.f64 (*.f64 (log.f64 n) (neg.f64 n)) 3)) (+.f64 (pow.f64 (*.f64 (+.f64 n 1) (log1p.f64 n)) 2) (-.f64 (*.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))) 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)))))
(log1p.f64 (-.f64 (/.f64 (pow.f64 (+.f64 n 1) (+.f64 n 1)) (pow.f64 n n)) 1))
(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))
(fma.f64 1 (*.f64 (+.f64 n 1) (log1p.f64 n)) (*.f64 (log.f64 n) (neg.f64 n)))
(fma.f64 1 (*.f64 (+.f64 n 1) (log1p.f64 n)) (neg.f64 (-.f64 (*.f64 n (log.f64 n)) (fma.f64 (neg.f64 (log.f64 n)) n (*.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) (*.f64 (log.f64 n) (neg.f64 n)))
(fma.f64 (+.f64 n 1) (log1p.f64 n) (neg.f64 (-.f64 (*.f64 n (log.f64 n)) (fma.f64 (neg.f64 (log.f64 n)) n (*.f64 n (log.f64 n))))))
(fma.f64 (log1p.f64 n) (+.f64 n 1) (*.f64 (log.f64 n) (neg.f64 n)))
(fma.f64 (log1p.f64 n) (+.f64 n 1) (neg.f64 (-.f64 (*.f64 n (log.f64 n)) (fma.f64 (neg.f64 (log.f64 n)) n (*.f64 n (log.f64 n))))))
(fma.f64 (*.f64 (+.f64 n 1) (log1p.f64 n)) 1 (*.f64 (log.f64 n) (neg.f64 n)))
(fma.f64 (*.f64 (+.f64 n 1) (log1p.f64 n)) 1 (neg.f64 (-.f64 (*.f64 n (log.f64 n)) (fma.f64 (neg.f64 (log.f64 n)) n (*.f64 n (log.f64 n))))))
(fma.f64 (pow.f64 (cbrt.f64 (log1p.f64 n)) 2) (*.f64 (cbrt.f64 (log1p.f64 n)) (+.f64 n 1)) (*.f64 (log.f64 n) (neg.f64 n)))
(fma.f64 (pow.f64 (cbrt.f64 (log1p.f64 n)) 2) (*.f64 (cbrt.f64 (log1p.f64 n)) (+.f64 n 1)) (neg.f64 (-.f64 (*.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 (+.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 n 1)) 2) (*.f64 (cbrt.f64 (+.f64 n 1)) (log1p.f64 n)) (*.f64 (log.f64 n) (neg.f64 n)))
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 n 1)) 2) (*.f64 (cbrt.f64 (+.f64 n 1)) (log1p.f64 n)) (neg.f64 (-.f64 (*.f64 n (log.f64 n)) (fma.f64 (neg.f64 (log.f64 n)) n (*.f64 n (log.f64 n))))))
(fma.f64 (cbrt.f64 (*.f64 (+.f64 n 1) (log1p.f64 n))) (pow.f64 (cbrt.f64 (*.f64 (+.f64 n 1) (log1p.f64 n))) 2) (*.f64 (log.f64 n) (neg.f64 n)))
(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 (-.f64 (*.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 (pow.f64 (cbrt.f64 (*.f64 (+.f64 n 1) (log1p.f64 n))) 2) (cbrt.f64 (*.f64 (+.f64 n 1) (log1p.f64 n))) (neg.f64 (-.f64 (*.f64 n (log.f64 n)) (fma.f64 (neg.f64 (log.f64 n)) n (*.f64 n (log.f64 n))))))
(fma.f64 (sqrt.f64 (log1p.f64 n)) (*.f64 (sqrt.f64 (log1p.f64 n)) (+.f64 n 1)) (*.f64 (log.f64 n) (neg.f64 n)))
(fma.f64 (sqrt.f64 (log1p.f64 n)) (*.f64 (sqrt.f64 (log1p.f64 n)) (+.f64 n 1)) (neg.f64 (-.f64 (*.f64 n (log.f64 n)) (fma.f64 (neg.f64 (log.f64 n)) n (*.f64 n (log.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 (hypot.f64 1 (sqrt.f64 n)) (*.f64 (hypot.f64 1 (sqrt.f64 n)) (log1p.f64 n)) (*.f64 (log.f64 n) (neg.f64 n)))
(fma.f64 (hypot.f64 1 (sqrt.f64 n)) (*.f64 (hypot.f64 1 (sqrt.f64 n)) (log1p.f64 n)) (neg.f64 (-.f64 (*.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)))
(fma.f64 (sqrt.f64 (*.f64 (+.f64 n 1) (log1p.f64 n))) (sqrt.f64 (*.f64 (+.f64 n 1) (log1p.f64 n))) (neg.f64 (-.f64 (*.f64 n (log.f64 n)) (fma.f64 (neg.f64 (log.f64 n)) n (*.f64 n (log.f64 n))))))
(fma.f64 (*.f64 (+.f64 n 1) (pow.f64 (cbrt.f64 (log1p.f64 n)) 2)) (cbrt.f64 (log1p.f64 n)) (*.f64 (log.f64 n) (neg.f64 n)))
(fma.f64 (*.f64 (+.f64 n 1) (pow.f64 (cbrt.f64 (log1p.f64 n)) 2)) (cbrt.f64 (log1p.f64 n)) (neg.f64 (-.f64 (*.f64 n (log.f64 n)) (fma.f64 (neg.f64 (log.f64 n)) n (*.f64 n (log.f64 n))))))
(fma.f64 (*.f64 (+.f64 n 1) (sqrt.f64 (log1p.f64 n))) (sqrt.f64 (log1p.f64 n)) (*.f64 (log.f64 n) (neg.f64 n)))
(fma.f64 (*.f64 (+.f64 n 1) (sqrt.f64 (log1p.f64 n))) (sqrt.f64 (log1p.f64 n)) (neg.f64 (-.f64 (*.f64 n (log.f64 n)) (fma.f64 (neg.f64 (log.f64 n)) n (*.f64 n (log.f64 n))))))
(fma.f64 (*.f64 (log1p.f64 n) (pow.f64 (cbrt.f64 (+.f64 n 1)) 2)) (cbrt.f64 (+.f64 n 1)) (*.f64 (log.f64 n) (neg.f64 n)))
(fma.f64 (*.f64 (log1p.f64 n) (pow.f64 (cbrt.f64 (+.f64 n 1)) 2)) (cbrt.f64 (+.f64 n 1)) (neg.f64 (-.f64 (*.f64 n (log.f64 n)) (fma.f64 (neg.f64 (log.f64 n)) n (*.f64 n (log.f64 n))))))
(fma.f64 (*.f64 (log1p.f64 n) (hypot.f64 1 (sqrt.f64 n))) (hypot.f64 1 (sqrt.f64 n)) (*.f64 (log.f64 n) (neg.f64 n)))
(fma.f64 (*.f64 (log1p.f64 n) (hypot.f64 1 (sqrt.f64 n))) (hypot.f64 1 (sqrt.f64 n)) (neg.f64 (-.f64 (*.f64 n (log.f64 n)) (fma.f64 (neg.f64 (log.f64 n)) n (*.f64 n (log.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))))
(log1p.f64 (-.f64 (pow.f64 n n) 1))
(exp.f64 (log.f64 (*.f64 n (log.f64 n))))
(exp.f64 (*.f64 (log.f64 (*.f64 n (log.f64 n))) 1))
(fma.f64 1 (fma.f64 n (log.f64 n) 1) -1)
(fma.f64 (fma.f64 n (log.f64 n) 1) 1 -1)
(fma.f64 (cbrt.f64 (fma.f64 n (log.f64 n) 1)) (pow.f64 (cbrt.f64 (fma.f64 n (log.f64 n) 1)) 2) -1)
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 n (log.f64 n) 1)) 2) (cbrt.f64 (fma.f64 n (log.f64 n) 1)) -1)
(fma.f64 (sqrt.f64 (fma.f64 n (log.f64 n) 1)) (sqrt.f64 (fma.f64 n (log.f64 n) 1)) -1)
(fma.f64 (+.f64 1 (pow.f64 (*.f64 n (log.f64 n)) 3)) (/.f64 1 (+.f64 (pow.f64 (*.f64 n (log.f64 n)) 2) (-.f64 1 (*.f64 n (log.f64 n))))) -1)
(fma.f64 (+.f64 (pow.f64 (*.f64 n (log.f64 n)) 2) -1) (/.f64 1 (fma.f64 n (log.f64 n) -1)) -1)
(+.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))))
(log1p.f64 (expm1.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))
Outputs
-1
(-.f64 (*.f64 -1 (*.f64 n (log.f64 n))) 1)
(fma.f64 (log.f64 n) (neg.f64 n) -1)
(-.f64 -1 (*.f64 n (log.f64 n)))
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(log1p.f64 (expm1.f64 (*.f64 (+.f64 n 1) (log1p.f64 n))))
(*.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))

eval249.0ms (3.1%)

Compiler

Compiled 13015 to 7271 computations (44.1% saved)

prune157.0ms (2%)

Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New6071608
Fresh000
Picked303
Done000
Total6101611
Accuracy
100.0%
Counts
611 → 1
Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(log.f64 n)
Compiler

Compiled 3 to 2 computations (33.3% saved)

localize25.0ms (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)

regimes23.0ms (0.3%)

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:

16.0ms
(-.f64 (*.f64 (+.f64 n 1) (log.f64 (+.f64 n 1))) (*.f64 n (log.f64 n)))
3.0ms
n
2.0ms
(-.f64 (-.f64 (*.f64 (+.f64 n 1) (log.f64 (+.f64 n 1))) (*.f64 n (log.f64 n))) 1)
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)

soundness756.0ms (9.5%)

Rules
2392×associate--l+
1208×sub-neg
1120×fma-neg
1068×unsub-neg
1000×fma-define
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
023256
161208
2163200
3519200
42035196
54516196
65617196
76466196
86912196
97095196
107110196
117113196
127113196
137116196
147170196
157170196
066821113
1179419288
2696019174
Stop Event
node limit
node limit
Compiler

Compiled 49 to 32 computations (34.7% saved)

end0.0ms (0%)

preprocess53.0ms (0.7%)

Compiler

Compiled 88 to 68 computations (22.7% saved)

Profiling

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