Details

sample107.0ms

Algorithm

intervals

Results

57.0ms	122×	body	1280	valid
25.0ms	82×	body	640	valid
8.0ms	40×	body	320	valid
4.0ms	256×	pre	80	true
2.0ms	12×	body	160	valid

simplify2.5s

Counts: 1 → 1

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 63.0b

localize19.0ms

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)))

rewrite108.0ms

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:

32.0ms	(* (+ n 1.0) (log (+ n 1.0)))
35.0ms	(* n (log n))
38.0ms	(- (* (+ n 1.0) (log (+ n 1.0))) (* n (log n)))

series569.0ms

Counts

3 → 9

Calls

3 calls:

83.0ms	(* (+ n 1.0) (log (+ n 1.0)))
273.0ms	(* n (log n))
213.0ms	(- (* (+ n 1.0) (log (+ n 1.0))) (* n (log n)))

simplify901.0ms

Counts: 90 → 90

prune283.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize36.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (+ (- 1.0 (+ (* 1.0 (log (/ 1 n))) (* 0.16666666666666669 (/ 1 (pow n 2))))) (/ 0.5 n)) 1.0)
0.0b	(- 1.0 (+ (* 1.0 (log (/ 1 n))) (* 0.16666666666666669 (/ 1 (pow n 2)))))
0.1b	(* 0.16666666666666669 (/ 1 (pow n 2)))
1.0b	(/ 1 (pow n 2))

rewrite994.0ms

Algorithm

rewrite-expression-head

Rules

59×	`add-sqr-sqrt`
56×	`times-frac`
52×	`*-un-lft-identity`
37×	`add-cube-cbrt`
33×	`add-exp-log`
28×	`associate-r`
23×	`unpow-prod-down` `add-log-exp`
12×	`div-exp`
11×	`add-cbrt-cube`
10×	`prod-exp`
9×	`unpow2` `unswap-sqr` `sqr-pow`
8×	`diff-log` `associate-/r*`
6×	`pow1` `pow-to-exp` `rec-exp` `1-exp` `pow-exp`
5×	`sum-log` `distribute-lft-out--`
3×	`associate-l` `associate-/l*`
2×	`cbrt-undiv` `sub-neg` `flip3--` `flip--` `cbrt-unprod` `div-inv` `distribute-lft-out` `difference-of-squares`
1×	`associate--l-` `associate-+l-` `pow-flip` `frac-2neg` `associate-r/` `pow-prod-down` `associate--l+` `clear-num` `un-div-inv` `-commutative` `associate--r+` `inv-pow`

Counts

4 → 157

Calls

4 calls:

898.0ms	(- (+ (- 1.0 (+ (* 1.0 (log (/ 1 n))) (* 0.16666666666666669 (/ 1 (pow n 2))))) (/ 0.5 n)) 1.0)
27.0ms	(- 1.0 (+ (* 1.0 (log (/ 1 n))) (* 0.16666666666666669 (/ 1 (pow n 2)))))
41.0ms	(* 0.16666666666666669 (/ 1 (pow n 2)))
17.0ms	(/ 1 (pow n 2))

series1.1s

Counts

4 → 12

Calls

4 calls:

57.0ms	(- (+ (- 1.0 (+ (* 1.0 (log (/ 1 n))) (* 0.16666666666666669 (/ 1 (pow n 2))))) (/ 0.5 n)) 1.0)
972.0ms	(- 1.0 (+ (* 1.0 (log (/ 1 n))) (* 0.16666666666666669 (/ 1 (pow n 2)))))
33.0ms	(* 0.16666666666666669 (/ 1 (pow n 2)))
19.0ms	(/ 1 (pow n 2))

simplify1.0s

Counts: 169 → 169

prune584.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0b

localize32.0ms

Local error

Found 1 expressions with local error:

0.9b	(/ 0.16666666666666669 (pow n 2))

rewrite20.0ms

Algorithm

rewrite-expression-head

Rules

24×	`times-frac`
18×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
12×	`unpow-prod-down`
8×	`associate-/r*`
6×	`add-exp-log`
4×	`unpow2` `sqr-pow`
3×	`div-exp` `add-cbrt-cube` `associate-/l*`
1×	`pow1` `cbrt-undiv` `pow-to-exp` `frac-2neg` `pow-exp` `clear-num` `div-inv` `add-log-exp`

Counts

1 → 49

Calls

1 calls:

16.0ms

(/ 0.16666666666666669 (pow n 2))

series32.0ms

Counts

1 → 3

Calls

1 calls:

32.0ms

(/ 0.16666666666666669 (pow n 2))

simplify1.7s

Counts: 52 → 52

prune187.0ms

Pruning

1 alts after pruning (0 fresh and 1 done)

Merged error: 0b

simplify531.0ms

end0.0ms

sample4.1s

Algorithm

intervals

Results

2.0s	3674×	body	1280	valid
901.0ms	2623×	body	640	valid
555.0ms	8000×	pre	80	true
321.0ms	1287×	body	320	valid
52.0ms	416×	body	160	valid