Details

Time bar (total: 19.8s)

sample170.0ms

Algorithm
intervals
Results
81.0ms114×body1280valid
52.0ms93×body640valid
14.0ms41×body320valid
7.0ms256×pre80true
2.0msbody160valid

simplify8.2s

Counts
1 → 1
Iterations
IterNodes
102683
91863
81164
7654
6424
5280
4144
381
249
120
09

prune10.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 44.2b

localize38.0ms

Local error

Found 4 expressions with local error:

0.0b
(fma n (- (log1p n) (log n)) (log1p n))
0.0b
(log1p n)
0.0b
(log1p n)
2.2b
(- (log1p n) (log n))

rewrite16.0ms

Algorithm
rewrite-expression-head
Rules
16×*-un-lft-identity
15×add-sqr-sqrt
13×add-cube-cbrt
12×prod-diff
pow1
expm1-log1p-u
add-log-exp
add-cbrt-cube add-exp-log log-pow insert-posit16 log1p-expm1-u
log1p-udef log-prod fma-neg associate--r+
diff-log log1p-expm1 distribute-lft-out--
sub-neg flip3-- fma-udef flip-- difference-of-squares
Counts
4 → 72
Calls
4 calls:
0.0ms
(fma n (- (log1p n) (log n)) (log1p n))
1.0ms
(log1p n)
1.0ms
(log1p n)
13.0ms
(- (log1p n) (log n))

series268.0ms

Counts
4 → 12
Calls
4 calls:
142.0ms
(fma n (- (log1p n) (log n)) (log1p n))
29.0ms
(log1p n)
40.0ms
(log1p n)
56.0ms
(- (log1p n) (log n))

simplify983.0ms

Counts
84 → 84
Iterations
IterNodes
32235
2703
1287
0127

prune750.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0b

localize44.0ms

Local error

Found 1 expressions with local error:

0.5b
(/ 1/6 (* n n))

rewrite15.0ms

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:
15.0ms
(/ 1/6 (* n n))

series31.0ms

Counts
1 → 3
Calls
1 calls:
31.0ms
(/ 1/6 (* n n))

simplify2.3s

Counts
27 → 27
Iterations
IterNodes
43781
3900
2277
1104
046

prune346.0ms

Pruning

1 alts after pruning (0 fresh and 1 done)

Merged error: 0b

simplify2.0ms

Iterations
IterNodes
216
116
013

end0.0ms

sample6.6s

Algorithm
intervals
Results
3.0s3660×body1280valid
2.4s2681×body640valid
588.0ms1270×body320valid
314.0ms8000×pre80true
91.0ms389×body160valid