Details

Time bar (total: 11.5s)

sample128.0ms

Algorithm
intervals
Results
64.0ms120×body1280valid
31.0ms86×body640valid
10.0ms39×body320valid
4.0ms256×pre80true
2.0ms11×body160valid

simplify4.0s

Counts
1 → 1
Iterations
IterNodes
done5001
51565
4407
3123
243
118
09

prune11.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 62.0b

localize21.0ms

Local error

Found 3 expressions with local error:

0.3b
(* (log (+ 1.0 n)) (+ 1.0 n))
0.3b
(* (log n) n)
4.1b
(- (* (log (+ 1.0 n)) (+ 1.0 n)) (+ (* (log n) n) 1.0))

rewrite58.0ms

Algorithm
rewrite-expression-head
Rules
11×add-sqr-sqrt
pow1 *-un-lft-identity
associate-*l* add-log-exp
add-cbrt-cube associate-*r* add-exp-log add-cube-cbrt
associate-*r/
flip3-+ flip-+
frac-sub
distribute-rgt-in distribute-lft-in diff-log pow-prod-down prod-exp associate--l+ log-pow *-commutative cbrt-unprod unswap-sqr
sum-log sub-neg flip3-- flip-- distribute-lft-out associate--r+
Counts
3 → 63
Calls
3 calls:
19.0ms
(* (log (+ 1.0 n)) (+ 1.0 n))
6.0ms
(* (log n) n)
30.0ms
(- (* (log (+ 1.0 n)) (+ 1.0 n)) (+ (* (log n) n) 1.0))

series691.0ms

Counts
3 → 9
Calls
3 calls:
115.0ms
(* (log (+ 1.0 n)) (+ 1.0 n))
275.0ms
(* (log n) n)
301.0ms
(- (* (log (+ 1.0 n)) (+ 1.0 n)) (+ (* (log n) n) 1.0))

simplify1.5s

Counts
72 → 72
Iterations
IterNodes
done5002
23085
1535
0173

prune358.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0b

localize26.0ms

Local error

Found 1 expressions with local error:

0.9b
(/ 0.16666666666666669 (* n n))

rewrite7.0ms

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
pow1 clear-num associate-/r* frac-2neg prod-exp cbrt-unprod div-inv add-log-exp
Counts
1 → 21
Calls
1 calls:
6.0ms
(/ 0.16666666666666669 (* n n))

series32.0ms

Counts
1 → 3
Calls
1 calls:
32.0ms
(/ 0.16666666666666669 (* n n))

simplify641.0ms

Counts
24 → 24
Iterations
IterNodes
done5001
2579
1109
043

prune107.0ms

Pruning

1 alts after pruning (0 fresh and 1 done)

Merged error: 0b

simplify3.0ms

Iterations
IterNodes
done13
113
011

end0.0ms

sample3.9s

Algorithm
intervals
Results
1.9s3684×body1280valid
933.0ms2552×body640valid
385.0ms8000×pre80true
313.0ms1322×body320valid
185.0ms442×body160valid