Details

Time bar (total: 30.0s)

sample160.0ms

Algorithm
intervals
Results
82.0ms128×body1280valid
33.0ms77×body640valid
12.0ms40×body320valid
5.0ms256×pre80true
2.0ms11×body160valid

simplify9.2s

Counts
1 → 1
Iterations
IterNodes
done5002
134900
123723
113170
102700
91772
81205
7919
6716
5496
4240
3112
241
118
09

prune26.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 63.0b

localize34.0ms

Local error

Found 3 expressions with local error:

0.3b
(* (+ n 1.0) (log (+ n 1.0)))
0.3b
(* n (log n))
5.1b
(- (* (+ n 1.0) (log (+ n 1.0))) (* n (log n)))

rewrite118.0ms

Algorithm
rewrite-expression-head
Rules
28×log-prod
25×*-un-lft-identity
19×add-sqr-sqrt
15×add-cube-cbrt
14×distribute-rgt-in distribute-lft-in
9×pow1
8×associate-*r* associate--l+
7×add-cbrt-cube associate-*l* add-exp-log
6×associate--r+
5×distribute-lft-out add-log-exp
3×insert-posit16
2×pow-prod-down associate-*l/ prod-exp log-pow *-commutative cbrt-unprod unswap-sqr
1×sub-neg flip3-+ flip3-- diff-log flip-+ flip--
Counts
3 → 84
Calls
3 calls:
61.0ms
(* (+ n 1.0) (log (+ n 1.0)))
12.0ms
(* n (log n))
40.0ms
(- (* (+ n 1.0) (log (+ n 1.0))) (* n (log n)))

series828.0ms

Counts
3 → 9
Calls
3 calls:
123.0ms
(* (+ n 1.0) (log (+ n 1.0)))
396.0ms
(* n (log n))
307.0ms
(- (* (+ n 1.0) (log (+ n 1.0))) (* n (log n)))

simplify2.9s

Counts
93 → 93
Iterations
IterNodes
done5000
21292
1460
0174

prune885.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize60.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ (+ 1.0 (- (/ 0.5 n) (/ 0.16666666666666669 (* n n)))) (* 1.0 (log n)))
0.0b
(- (+ (+ 1.0 (- (/ 0.5 n) (/ 0.16666666666666669 (* n n)))) (* 1.0 (log n))) 1.0)
1.3b
(/ 0.16666666666666669 (* n n))

rewrite5.0s

Algorithm
rewrite-expression-head
Rules
26×add-log-exp
10×sum-log
9×add-sqr-sqrt *-un-lft-identity
8×add-cbrt-cube add-exp-log
7×add-cube-cbrt
6×associate-+r+ log-prod diff-log
3×distribute-rgt-in pow1 distribute-lft-in times-frac insert-posit16 associate-/l*
2×cbrt-undiv associate-+r- div-exp associate-+l-
1×associate--l- +-commutative associate-+l+ clear-num associate-/r* sub-neg frac-2neg flip3-+ flip3-- prod-exp associate--l+ cbrt-unprod flip-+ div-inv flip-- distribute-lft-out-- difference-of-squares
Counts
3 → 64
Calls
3 calls:
755.0ms
(+ (+ 1.0 (- (/ 0.5 n) (/ 0.16666666666666669 (* n n)))) (* 1.0 (log n)))
4.2s
(- (+ (+ 1.0 (- (/ 0.5 n) (/ 0.16666666666666669 (* n n)))) (* 1.0 (log n))) 1.0)
21.0ms
(/ 0.16666666666666669 (* n n))

series210.0ms

Counts
3 → 9
Calls
3 calls:
84.0ms
(+ (+ 1.0 (- (/ 0.5 n) (/ 0.16666666666666669 (* n n)))) (* 1.0 (log n)))
65.0ms
(- (+ (+ 1.0 (- (/ 0.5 n) (/ 0.16666666666666669 (* n n)))) (* 1.0 (log n))) 1.0)
61.0ms
(/ 0.16666666666666669 (* n n))

simplify2.7s

Counts
73 → 73
Iterations
IterNodes
done5002
21346
1394
0154

prune651.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0b

localize43.0ms

Local error

Found 1 expressions with local error:

1.3b
(/ 0.16666666666666669 (* n n))

rewrite23.0ms

Algorithm
rewrite-expression-head
Rules
6×add-cbrt-cube add-exp-log
3×add-sqr-sqrt *-un-lft-identity times-frac add-cube-cbrt associate-/l*
2×cbrt-undiv div-exp
1×pow1 clear-num associate-/r* frac-2neg prod-exp cbrt-unprod insert-posit16 div-inv add-log-exp
Counts
1 → 22
Calls
1 calls:
21.0ms
(/ 0.16666666666666669 (* n n))

series33.0ms

Counts
1 → 3
Calls
1 calls:
33.0ms
(/ 0.16666666666666669 (* n n))

simplify2.6s

Counts
25 → 25
Iterations
IterNodes
done5002
31334
2331
1102
044

prune328.0ms

Pruning

1 alts after pruning (0 fresh and 1 done)

Merged error: 0b

simplify4.0ms

Iterations
IterNodes
done13
113
011

end0.0ms

sample4.3s

Algorithm
intervals
Results
2.0s3635×body1280valid
1.4s2641×body640valid
456.0ms1333×body320valid
180.0ms8000×pre80true
53.0ms391×body160valid