Details

Time bar (total: 10.8s)

sample175.0ms

Algorithm
intervals
Results
84.0ms106×body1280valid
53.0ms91×body640valid
16.0ms42×body320valid
8.0ms256×pre80true
4.0ms17×body160valid

simplify1.9s

Counts
1 → 1
Iterations
IterNodes
done2015
82015
71745
6748
5353
4149
383
251
122
09

prune18.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 61.7b

localize39.0ms

Local error

Found 4 expressions with local error:

0.0b
(log1p n)
0.0b
(log1p n)
0.3b
(fma n (log n) 1)
62.2b
(fma n (log1p n) (- (log1p n) (fma n (log n) 1)))

rewrite3.0ms

Algorithm
rewrite-expression-head
Rules
expm1-log1p-u
add-sqr-sqrt pow1 *-un-lft-identity add-cbrt-cube add-exp-log add-cube-cbrt insert-posit16 log1p-expm1-u add-log-exp
log1p-udef log1p-expm1 fma-udef
Counts
4 → 46
Calls
4 calls:
1.0ms
(log1p n)
1.0ms
(log1p n)
0.0ms
(fma n (log n) 1)
1.0ms
(fma n (log1p n) (- (log1p n) (fma n (log n) 1)))

series626.0ms

Counts
4 → 12
Calls
4 calls:
31.0ms
(log1p n)
40.0ms
(log1p n)
398.0ms
(fma n (log n) 1)
157.0ms
(fma n (log1p n) (- (log1p n) (fma n (log n) 1)))

simplify1.1s

Counts
58 → 58
Iterations
IterNodes
done2002
42002
31588
2512
1181
080

prune228.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0b

localize17.0ms

Local error

Found 1 expressions with local error:

1.1b
(/ 1/6 (* n n))

rewrite8.0ms

Algorithm
rewrite-expression-head
Rules
add-cbrt-cube add-exp-log
add-sqr-sqrt *-un-lft-identity times-frac add-cube-cbrt associate-/l*
cbrt-undiv div-exp
expm1-log1p-u pow1 clear-num associate-/r* frac-2neg prod-exp cbrt-unprod insert-posit16 log1p-expm1-u div-inv add-log-exp
Counts
1 → 24
Calls
1 calls:
7.0ms
(/ 1/6 (* n n))

series38.0ms

Counts
1 → 3
Calls
1 calls:
38.0ms
(/ 1/6 (* n n))

simplify951.0ms

Counts
27 → 27
Iterations
IterNodes
done2003
42003
3870
2272
1106
046

prune109.0ms

Pruning

1 alts after pruning (0 fresh and 1 done)

Merged error: 0b

simplify2.0ms

Iterations
IterNodes
done10
110
09

end0.0ms

sample5.6s

Algorithm
intervals
Results
2.6s3573×body1280valid
1.3s2625×body640valid
797.0ms1383×body320valid
272.0ms8000×pre80true
127.0ms419×body160valid