Details

Time bar (total: 17.6s)

sample215.0ms

Algorithm
intervals
Results
93.0ms114×body1280valid
49.0ms82×body640valid
46.0ms45×body320valid
9.0ms256×pre80true
4.0ms15×body160valid

simplify6.7s

Counts
1 → 1
Iterations
IterNodes
102647
91842
81121
7613
6398
5290
4144
383
251
122
09

prune20.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 44.2b

localize19.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ (log1p n) (fma n (- (log1p n) (log n)) -1))
0.7b
(fma n (- (log1p n) (log n)) -1)
5.3b
(- (log1p n) (log n))

rewrite13.0ms

Algorithm
rewrite-expression-head
Rules
18×*-un-lft-identity
15×add-sqr-sqrt
13×add-cube-cbrt
12×prod-diff
pow1 add-log-exp
log-pow
expm1-log1p-u log-prod fma-def add-cbrt-cube fma-neg add-exp-log insert-posit16 log1p-expm1-u associate--r+
log1p-udef sum-log diff-log fma-udef distribute-lft-out--
+-commutative associate-+r+ sub-neg flip3-+ flip3-- flip-+ flip-- distribute-lft-out difference-of-squares
Counts
3 → 68
Calls
3 calls:
5.0ms
(+ (log1p n) (fma n (- (log1p n) (log n)) -1))
0.0ms
(fma n (- (log1p n) (log n)) -1)
6.0ms
(- (log1p n) (log n))

series338.0ms

Counts
3 → 9
Calls
3 calls:
105.0ms
(+ (log1p n) (fma n (- (log1p n) (log n)) -1))
148.0ms
(fma n (- (log1p n) (log n)) -1)
85.0ms
(- (log1p n) (log n))

simplify1.3s

Counts
77 → 77
Iterations
IterNodes
32829
2848
1327
0139

prune797.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0b

localize35.0ms

Local error

Found 1 expressions with local error:

1.0b
(/ -1/6 (* n n))

rewrite13.0ms

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))

series57.0ms

Counts
1 → 3
Calls
1 calls:
56.0ms
(/ -1/6 (* n n))

simplify1.9s

Counts
27 → 27
Iterations
IterNodes
43669
3871
2266
1105
046

prune156.0ms

Pruning

1 alts after pruning (0 fresh and 1 done)

Merged error: 0b

simplify1.0ms

Iterations
IterNodes
211
111
09

end0.0ms

sample6.1s

Algorithm
intervals
Results
3.0s3648×body1280valid
2.0s2556×body640valid
593.0ms1364×body320valid
273.0ms8000×pre80true
99.0ms432×body160valid