Details

sample92.0ms

Algorithm

intervals

Results

45.0ms	116×	body	1280	valid
26.0ms	93×	body	640	valid
6.0ms	35×	body	320	valid
3.0ms	256×	pre	80	true
1.0ms	12×	body	160	valid

simplify3.9s

Counts

1 → 1

Iterations

Iter	Nodes
done	5001
5	1565
4	407
3	123
2	43
1	18
0	9

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 63.0b

localize17.0ms

Local error

Found 3 expressions with local error:

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

rewrite62.0ms

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`
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:

22.0ms	(* (+ n 1.0) (log (+ n 1.0)))
8.0ms	(* n (log n))
29.0ms	(- (* (+ n 1.0) (log (+ n 1.0))) (* n (log n)))

series606.0ms

Counts

3 → 9

Calls

3 calls:

81.0ms	(* (+ n 1.0) (log (+ n 1.0)))
245.0ms	(* n (log n))
279.0ms	(- (* (+ n 1.0) (log (+ n 1.0))) (* n (log n)))

simplify1.4s

Counts

90 → 90

Iterations

Iter	Nodes
done	5002
2	2185
1	460
0	171

prune387.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize36.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (+ (/ 0.5 n) (- 1.0 (/ 0.16666666666666669 (* n n)))) (* (log n) 1.0))
0.0b	(- (+ (+ (/ 0.5 n) (- 1.0 (/ 0.16666666666666669 (* n n)))) (* (log n) 1.0)) 1.0)
0.8b	(/ 0.16666666666666669 (* n n))

rewrite1.7s

Algorithm

rewrite-expression-head

Rules

26×	`add-log-exp`
10×	`sum-log`
8×	`add-cbrt-cube` `add-exp-log`
7×	`add-sqr-sqrt` `*-un-lft-identity`
6×	`diff-log`
5×	`add-cube-cbrt`
3×	`pow1` `times-frac` `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 → 55

Calls

3 calls:

217.0ms	(+ (+ (/ 0.5 n) (- 1.0 (/ 0.16666666666666669 (* n n)))) (* (log n) 1.0))
1.5s	(- (+ (+ (/ 0.5 n) (- 1.0 (/ 0.16666666666666669 (* n n)))) (* (log n) 1.0)) 1.0)
11.0ms	(/ 0.16666666666666669 (* n n))

series116.0ms

Counts

3 → 9

Calls

3 calls:

47.0ms	(+ (+ (/ 0.5 n) (- 1.0 (/ 0.16666666666666669 (* n n)))) (* (log n) 1.0))
39.0ms	(- (+ (+ (/ 0.5 n) (- 1.0 (/ 0.16666666666666669 (* n n)))) (* (log n) 1.0)) 1.0)
29.0ms	(/ 0.16666666666666669 (* n n))

simplify1.1s

Counts

64 → 64

Iterations

Iter	Nodes
done	5001
2	1895
1	367
0	134

prune251.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0b

localize24.0ms

Local error

Found 1 expressions with local error:

0.8b	(/ 0.16666666666666669 (* n n))

rewrite7.0ms

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` `div-inv` `add-log-exp`

Counts

1 → 21

Calls

1 calls:

6.0ms

(/ 0.16666666666666669 (* n n))

series28.0ms

Counts

1 → 3

Calls

1 calls:

28.0ms

(/ 0.16666666666666669 (* n n))

simplify730.0ms

Counts

24 → 24

Iterations

Iter	Nodes
done	5001
2	579
1	109
0	43

prune115.0ms

Pruning

1 alts after pruning (0 fresh and 1 done)

Merged error: 0b

simplify1.0ms

Iterations

Iter	Nodes
done	13
1	13
0	11

end0.0ms

sample4.1s

Algorithm

intervals

Results

2.1s	3642×	body	1280	valid
962.0ms	2631×	body	640	valid
530.0ms	8000×	pre	80	true
284.0ms	1329×	body	320	valid
53.0ms	398×	body	160	valid