Details

Time bar (total: 1.6s)

sample32.0ms

Algorithm
intervals
Results
16.0ms99×body1280valid
5.0ms115×body80valid
2.0ms18×body640valid
1.0ms10×body320valid
1.0ms14×body160valid

simplify4.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
067
197
2107
done107

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 15.6b

localize13.0ms

Local error

Found 1 expressions with local error:

3.2b
(- (atan (+ N 1.0)) (atan N))

rewrite12.0ms

Algorithm
rewrite-expression-head
Rules
add-sqr-sqrt *-un-lft-identity add-log-exp
pow1 add-exp-log add-cube-cbrt sub-neg flip3-- diff-log diff-atan add-cbrt-cube flip-- distribute-lft-out-- difference-of-squares
Counts
1 → 15
Calls
1 calls:
11.0ms
(- (atan (+ N 1.0)) (atan N))

series21.0ms

Counts
1 → 3
Calls
1 calls:
21.0ms
(- (atan (+ N 1.0)) (atan N))

simplify1.5s

Counts
18 → 18
Iterations

Useful iterations: 4 (142.0ms)

IterNodesCost
036209
173205
2143191
3267187
4533185
51495185
done5000185

prune34.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.2b

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b
(* (+ N 1.0) N)
0.2b
(atan2 1.0 (+ 1 (* (+ N 1.0) N)))

rewrite21.0ms

Algorithm
rewrite-expression-head
Rules
add-sqr-sqrt *-un-lft-identity
pow1 add-exp-log add-cube-cbrt associate-*l* add-cbrt-cube
associate-*r*
associate-*l/ add-log-exp
flip3-+ pow-prod-down prod-exp *-commutative cbrt-unprod flip-+ distribute-lft-out unswap-sqr
Counts
2 → 28
Calls
2 calls:
20.0ms
(* (+ N 1.0) N)
0.0ms
(atan2 1.0 (+ 1 (* (+ N 1.0) N)))

series0.0ms