Details

Time bar (total: 12.7s)

sample148.0ms

Algorithm
intervals
Results
79.0ms117×body1280valid
35.0ms80×body640valid
14.0ms45×body320valid
7.0ms256×pre80true
3.0ms14×body160valid

simplify1.5s

Counts
1 → 1

prune20.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 44.2b

localize41.0ms

Local error

Found 2 expressions with local error:

3.9b
(- (log1p n) (log n))
0.0b
(fma n (- (log1p n) (log n)) (- (log1p n) 1))

rewrite13.0ms

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
11.0ms
(- (log1p n) (log n))
0.0ms
(fma n (- (log1p n) (log n)) (- (log1p n) 1))

series212.0ms

Counts
2 → 6
Calls
2 calls:
Slowest
143.0ms
(fma n (- (log1p n) (log n)) (- (log1p n) 1))
70.0ms
(- (log1p n) (log n))

simplify2.1s

Counts
54 → 54

prune522.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0b

localize42.0ms

Local error

Found 2 expressions with local error:

0.4b
(/ 1/6 n)
0.1b
(/ (/ 1/6 n) n)

rewrite28.0ms

Algorithm
rewrite-expression-head
Rules
84×times-frac
52×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
16×associate-/l*
9×add-cbrt-cube add-exp-log
6×associate-/r* div-inv
4×cbrt-undiv div-exp
2×expm1-log1p-u pow1 clear-num frac-2neg insert-posit16 log1p-expm1-u add-log-exp
1×associate-/l/
Counts
2 → 103
Calls
2 calls:
Slowest
18.0ms
(/ (/ 1/6 n) n)
7.0ms
(/ 1/6 n)

series56.0ms

Counts
2 → 6
Calls
2 calls:
Slowest
30.0ms
(/ (/ 1/6 n) n)
26.0ms
(/ 1/6 n)

simplify1.0s

Counts
109 → 109

prune1.0s

Pruning

1 alts after pruning (0 fresh and 1 done)

Merged error: 0b

end0.0ms

sample5.9s

Algorithm
intervals
Results
3.0s3609×body1280valid
1.5s2602×body640valid
919.0ms1333×body320valid
220.0ms8000×pre80true
101.0ms456×body160valid