Details

sample144.0ms

Algorithm

intervals

Results

61.0ms	97×	body	1280	valid
49.0ms	96×	body	640	valid
15.0ms	51×	body	320	valid
7.0ms	256×	pre	80	true
3.0ms	12×	body	160	valid

simplify5.3s

Counts: 1 → 1

prune10.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 63.0b

localize38.0ms

Local error

Found 3 expressions with local error:

5.1b	(- (* (+ n 1) (log (+ n 1))) (* n (log n)))
0.3b	(* (+ n 1) (log (+ n 1)))
0.3b	(* n (log n))

rewrite68.0ms

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:

Slowest

33.0ms	(- (* (+ n 1) (log (+ n 1))) (* n (log n)))
28.0ms	(* (+ n 1) (log (+ n 1)))
6.0ms	(* n (log n))

series518.0ms

Counts

3 → 9

Calls

3 calls:

Slowest

306.0ms	(* n (log n))
146.0ms	(- (* (+ n 1) (log (+ n 1))) (* n (log n)))
67.0ms	(* (+ n 1) (log (+ n 1)))

simplify1.3s

Counts: 93 → 93

prune719.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize51.0ms

Local error

Found 3 expressions with local error:

1.3b	(/ -1/6 (* n n))
0.0b	(- (+ (+ 1 (/ 1/2 n)) (+ (log n) (/ -1/6 (* n n)))) 1)
0.0b	(+ (+ 1 (/ 1/2 n)) (+ (log n) (/ -1/6 (* n n))))

rewrite616.0ms

Algorithm

rewrite-expression-head

Rules

48×	`*-un-lft-identity`
29×	`add-log-exp`
26×	`distribute-lft-out`
16×	`sum-log`
9×	`add-sqr-sqrt`
8×	`add-cbrt-cube` `add-exp-log`
7×	`pow1` `distribute-lft-out--`
5×	`flip3-+` `diff-log` `add-cube-cbrt` `flip-+`
4×	`frac-add` `log-pow`
3×	`times-frac` `insert-posit16` `associate-/l*`
2×	`cbrt-undiv` `div-exp` `difference-of-squares`
1×	`+-commutative` `associate-+l+` `associate-+r+` `clear-num` `associate-/r*` `sub-neg` `frac-2neg` `flip3--` `difference-of-sqr-1` `prod-exp` `associate--l+` `cbrt-unprod` `div-inv` `flip--`

Counts

3 → 77

Calls

3 calls:

Slowest

539.0ms	(- (+ (+ 1 (/ 1/2 n)) (+ (log n) (/ -1/6 (* n n)))) 1)
63.0ms	(+ (+ 1 (/ 1/2 n)) (+ (log n) (/ -1/6 (* n n))))
12.0ms	(/ -1/6 (* n n))

series129.0ms

Counts

3 → 9

Calls

3 calls:

Slowest

47.0ms	(+ (+ 1 (/ 1/2 n)) (+ (log n) (/ -1/6 (* n n))))
44.0ms	(- (+ (+ 1 (/ 1/2 n)) (+ (log n) (/ -1/6 (* n n)))) 1)
37.0ms	(/ -1/6 (* n n))

simplify991.0ms

Counts: 86 → 86

prune691.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0b

localize32.0ms

Local error

Found 1 expressions with local error:

1.3b	(/ -1/6 (* n n))

rewrite12.0ms

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:

Slowest

11.0ms

(/ -1/6 (* n n))

series28.0ms

Counts

1 → 3

Calls

1 calls:

Slowest

28.0ms

(/ -1/6 (* n n))

simplify2.1s

Counts: 25 → 25

prune221.0ms

Pruning

1 alts after pruning (0 fresh and 1 done)

Merged error: 0b

end0.0ms

sample6.2s

Algorithm

intervals

Results

3.5s	3588×	body	1280	valid
1.7s	2670×	body	640	valid
495.0ms	1334×	body	320	valid
241.0ms	8000×	pre	80	true
120.0ms	408×	body	160	valid