Details

Time bar (total: 12.3s)

sample158.0ms

Algorithm
intervals
Results
77.0ms115×body1280valid
40.0ms89×body640valid
13.0ms41×body320valid
5.0ms256×pre80true
2.0ms11×body160valid

simplify3.7s

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

prune10.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 62.0b

localize22.0ms

Local error

Found 3 expressions with local error:

0.3b
(* (log n) n)
0.3b
(* (log (+ 1.0 n)) (+ 1.0 n))
5.3b
(- (* (log (+ 1.0 n)) (+ 1.0 n)) (+ (* (log n) n) 1.0))

rewrite64.0ms

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:
13.0ms
(* (log n) n)
29.0ms
(* (log (+ 1.0 n)) (+ 1.0 n))
18.0ms
(- (* (log (+ 1.0 n)) (+ 1.0 n)) (+ (* (log n) n) 1.0))

series738.0ms

Counts
3 → 9
Calls
3 calls:
284.0ms
(* (log n) n)
99.0ms
(* (log (+ 1.0 n)) (+ 1.0 n))
355.0ms
(- (* (log (+ 1.0 n)) (+ 1.0 n)) (+ (* (log n) n) 1.0))

simplify2.0s

Counts
72 → 72
Iterations
IterNodes
done5001
23089
1535
0173

prune301.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0b

localize14.0ms

Local error

Found 1 expressions with local error:

1.2b
(/ 0.16666666666666669 (* n n))

rewrite9.0ms

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:
8.0ms
(/ 0.16666666666666669 (* n n))

series49.0ms

Counts
1 → 3
Calls
1 calls:
49.0ms
(/ 0.16666666666666669 (* n n))

simplify592.0ms

Counts
24 → 24
Iterations
IterNodes
done5001
2579
1109
043

prune96.0ms

Pruning

1 alts after pruning (0 fresh and 1 done)

Merged error: 0b

simplify2.0ms

Iterations
IterNodes
done13
113
011

end0.0ms

sample4.5s

Algorithm
intervals
Results
2.1s3618×body1280valid
1.6s2667×body640valid
347.0ms1324×body320valid
185.0ms8000×pre80true
56.0ms391×body160valid