Details

Time bar (total: 18.2s)

sample139.0ms

Algorithm
intervals
Results
75.0ms114×body1280valid
32.0ms81×body640valid
15.0ms52×body320valid
7.0ms256×pre80true
1.0ms9×body160valid

simplify4.2s

Counts
1 → 1

prune19.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 44.2b

localize32.0ms

Local error

Found 2 expressions with local error:

3.4b
(- (log1p n) (log n))
0.0b
(fma n (- (log1p n) (log n)) (log1p n))

rewrite9.0ms

Algorithm
rewrite-expression-head
Rules
14×*-un-lft-identity
13×add-sqr-sqrt
12×prod-diff
11×add-cube-cbrt
6×pow1
4×log-pow
3×log-prod fma-neg associate--r+ add-log-exp
2×expm1-log1p-u add-cbrt-cube diff-log add-exp-log insert-posit16 log1p-expm1-u distribute-lft-out--
1×log1p-udef sub-neg flip3-- fma-udef flip-- difference-of-squares
Counts
2 → 48
Calls
2 calls:
Slowest
8.0ms
(- (log1p n) (log n))
0.0ms
(fma n (- (log1p n) (log n)) (log1p n))

series165.0ms

Counts
2 → 6
Calls
2 calls:
Slowest
109.0ms
(fma n (- (log1p n) (log n)) (log1p n))
56.0ms
(- (log1p n) (log n))

simplify4.0s

Counts
54 → 54

prune525.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0b

localize42.0ms

Local error

Found 1 expressions with local error:

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

rewrite13.0ms

Algorithm
rewrite-expression-head
Rules
6×add-cbrt-cube add-exp-log
3×add-sqr-sqrt *-un-lft-identity times-frac add-cube-cbrt associate-/l*
2×cbrt-undiv div-exp
1×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:
Slowest
12.0ms
(/ -1/6 (* n n))

series38.0ms

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

simplify2.6s

Counts
27 → 27

prune234.0ms

Pruning

1 alts after pruning (0 fresh and 1 done)

Merged error: 0b

end0.0ms

sample6.2s

Algorithm
intervals
Results
3.0s3587×body1280valid
1.5s2601×body640valid
1.3s1357×body320valid
236.0ms8000×pre80true
103.0ms455×body160valid