Details

sample138.0ms

Algorithm

intervals

Results

88.0ms	122×	body	1280	valid
22.0ms	78×	body	640	valid
8.0ms	46×	body	320	valid
4.0ms	256×	pre	80	true
1.0ms	10×	body	160	valid

simplify3.7s

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	15
1	18	15
2	43	15
3	115	15
4	370	15
5	1429	15
done	5001	15

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 63.0b

localize12.0ms

Local error

Found 3 expressions with local error:

0.2b	(* n (log n))
0.3b	(* (+ n 1.0) (log (+ n 1.0)))
5.1b	(- (* (+ n 1.0) (log (+ n 1.0))) (* n (log n)))

rewrite115.0ms

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-exp-log` `associate-l` `add-cbrt-cube`
6×	`associate--r+`
5×	`distribute-lft-out` `add-log-exp`
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 → 81

Calls

3 calls:

17.0ms	(* n (log n))
62.0ms	(* (+ n 1.0) (log (+ n 1.0)))
30.0ms	(- (* (+ n 1.0) (log (+ n 1.0))) (* n (log n)))

series597.0ms

Counts

3 → 9

Calls

3 calls:

267.0ms	(* n (log n))
91.0ms	(* (+ n 1.0) (log (+ n 1.0)))
239.0ms	(- (* (+ n 1.0) (log (+ n 1.0))) (* n (log n)))

simplify1.4s

Counts

90 → 90

Iterations

Useful iterations: done (1.4s)

Iter	Nodes	Cost
0	171	1210
1	454	1150
2	2144	1038
done	5001	1027

prune260.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize16.0ms

Local error

Found 3 expressions with local error:

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

rewrite2.8s

Algorithm

rewrite-expression-head

Rules

22×	`add-log-exp`
10×	`*-un-lft-identity`
8×	`add-exp-log` `add-cbrt-cube`
7×	`add-sqr-sqrt` `diff-log`
6×	`sum-log`
5×	`add-cube-cbrt`
4×	`associate--l+`
3×	`pow1` `times-frac` `associate-/l*` `distribute-lft-out--`
2×	`cbrt-undiv` `sub-neg` `div-exp`
1×	`+-commutative` `associate--l-` `associate-+l+` `flip3--` `frac-2neg` `flip3-+` `prod-exp` `clear-num` `associate-/r*` `flip--` `cbrt-unprod` `flip-+` `div-inv` `difference-of-squares`

Counts

3 → 56

Calls

3 calls:

114.0ms	(+ (+ (/ 0.5 n) 1.0) (* (log n) 1.0))
2.7s	(- (- (+ (+ (/ 0.5 n) 1.0) (* (log n) 1.0)) (/ 0.16666666666666669 (* n n))) 1.0)
17.0ms	(/ 0.16666666666666669 (* n n))

series506.0ms

Counts

3 → 9

Calls

3 calls:

379.0ms	(+ (+ (/ 0.5 n) 1.0) (* (log n) 1.0))
77.0ms	(- (- (+ (+ (/ 0.5 n) 1.0) (* (log n) 1.0)) (/ 0.16666666666666669 (* n n))) 1.0)
49.0ms	(/ 0.16666666666666669 (* n n))

simplify1.0s

Counts

65 → 65

Iterations

Useful iterations: done (1.0s)

Iter	Nodes	Cost
0	137	1035
1	369	1010
2	1826	907
done	5000	898

prune188.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0b

localize19.0ms

Local error

Found 1 expressions with local error:

0.5b	(/ 0.16666666666666669 (* n n))

rewrite17.0ms

Algorithm

rewrite-expression-head

Rules

6×	`add-exp-log` `add-cbrt-cube`
3×	`add-sqr-sqrt` `add-cube-cbrt` `-un-lft-identity` `times-frac` `associate-/l`
2×	`cbrt-undiv` `div-exp`
1×	`pow1` `frac-2neg` `prod-exp` `clear-num` `associate-/r*` `cbrt-unprod` `div-inv` `add-log-exp`

Counts

1 → 21

Calls

1 calls:

15.0ms

(/ 0.16666666666666669 (* n n))

series30.0ms

Counts

1 → 3

Calls

1 calls:

30.0ms

(/ 0.16666666666666669 (* n n))

simplify540.0ms

Counts

24 → 24

Iterations

Useful iterations: 2 (75.0ms)

Iter	Nodes	Cost
0	43	185
1	109	182
2	607	152
done	5000	152

prune59.0ms

Pruning

1 alts after pruning (0 fresh and 1 done)

Merged error: 0b

simplify3.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	14
1	13	14
done	13	14

end0.0ms

sample4.4s

Algorithm

intervals

Results

2.2s	3673×	body	1280	valid
1.4s	2605×	body	640	valid
296.0ms	1350×	body	320	valid
111.0ms	8000×	pre	80	true
51.0ms	372×	body	160	valid