Details

Time bar (total: 9.6s)

sample126.0ms

Algorithm
intervals
Results
60.0ms127×body1280valid
41.0ms77×body640valid
9.0ms40×body320valid
5.0ms256×pre80true
2.0ms12×body160valid

simplify1.5s

Counts
1 → 1
Iterations
IterNodes
done2000
71745
6748
5353
4149
383
251
122
09

prune9.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 61.7b

localize21.0ms

Local error

Found 3 expressions with local error:

0.0b
(- (log1p n) (fma n (log n) 1))
0.3b
(fma n (log n) 1)
62.3b
(fma n (log1p n) (- (log1p n) (fma n (log n) 1)))

rewrite6.0ms

Algorithm
rewrite-expression-head
Rules
12×add-sqr-sqrt *-un-lft-identity
10×add-cube-cbrt
prod-diff
add-log-exp
expm1-log1p-u pow1 add-cbrt-cube fma-neg add-exp-log fma-udef insert-posit16 log1p-expm1-u
diff-log
log1p-udef sub-neg flip3-- flip-- associate--r+ distribute-lft-out-- difference-of-squares
Counts
3 → 53
Calls
3 calls:
5.0ms
(- (log1p n) (fma n (log n) 1))
0.0ms
(fma n (log n) 1)
0.0ms
(fma n (log1p n) (- (log1p n) (fma n (log n) 1)))

series633.0ms

Counts
3 → 9
Calls
3 calls:
61.0ms
(- (log1p n) (fma n (log n) 1))
421.0ms
(fma n (log n) 1)
151.0ms
(fma n (log1p n) (- (log1p n) (fma n (log n) 1)))

simplify603.0ms

Counts
62 → 62
Iterations
IterNodes
done2001
2762
1281
0119

prune266.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0b

localize20.0ms

Local error

Found 1 expressions with local error:

0.3b
(/ 1/6 (* n n))

rewrite12.0ms

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:
12.0ms
(/ 1/6 (* n n))

series48.0ms

Counts
1 → 3
Calls
1 calls:
48.0ms
(/ 1/6 (* n n))

simplify555.0ms

Counts
27 → 27
Iterations
IterNodes
done2002
3870
2272
1106
046

prune139.0ms

Pruning

1 alts after pruning (0 fresh and 1 done)

Merged error: 0b

simplify2.0ms

Iterations
IterNodes
done10
110
09

end0.0ms

sample5.7s

Algorithm
intervals
Results
3.2s3651×body1280valid
1.5s2612×body640valid
532.0ms1324×body320valid
278.0ms8000×pre80true
90.0ms413×body160valid