Details

Time bar (total: 18.2s)

sample184.0ms

Algorithm
intervals
Results
105.0ms118×body1280valid
45.0ms87×body640valid
15.0ms42×body320valid
8.0ms256×pre80true
2.0ms9×body160valid

simplify4.2s

Counts
1 → 1

prune9.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 44.2b

localize15.0ms

Local error

Found 2 expressions with local error:

3.6b
(- (log1p n) (log n))
0.0b
(fma n (- (log1p n) (log n)) (log1p n))

rewrite6.0ms

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
6.0ms
(- (log1p n) (log n))
0.0ms
(fma n (- (log1p n) (log n)) (log1p n))

series219.0ms

Counts
2 → 6
Calls
2 calls:
Slowest
147.0ms
(fma n (- (log1p n) (log n)) (log1p n))
72.0ms
(- (log1p n) (log n))

simplify3.8s

Counts
54 → 54

prune457.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0b

localize26.0ms

Local error

Found 1 expressions with local error:

0.8b
(/ -1/6 (* n n))

rewrite7.0ms

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
7.0ms
(/ -1/6 (* n n))

series47.0ms

Counts
1 → 3
Calls
1 calls:
Slowest
47.0ms
(/ -1/6 (* n n))

simplify2.9s

Counts
27 → 27

prune234.0ms

Pruning

1 alts after pruning (0 fresh and 1 done)

Merged error: 0b

end0.0ms

sample6.1s

Algorithm
intervals
Results
3.4s3614×body1280valid
1.6s2653×body640valid
561.0ms1306×body320valid
254.0ms8000×pre80true
94.0ms427×body160valid