Details

sample88.0ms

Algorithm

intervals

Results

47.0ms	110×	body	1280	valid
18.0ms	81×	body	640	valid
8.0ms	50×	body	320	valid
3.0ms	256×	pre	80	true
1.0ms	15×	body	160	valid

simplify133.0ms

Counts: 1 → 1

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 63.0b

localize11.0ms

Local error

Found 3 expressions with local error:

0.3b	(* (+ n 1.0) (log (+ n 1.0)))
0.3b	(* n (log n))
6.1b	(- (* (+ n 1.0) (log (+ n 1.0))) (* n (log n)))

rewrite75.0ms

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:

41.0ms	(* (+ n 1.0) (log (+ n 1.0)))
9.0ms	(* n (log n))
23.0ms	(- (* (+ n 1.0) (log (+ n 1.0))) (* n (log n)))

series465.0ms

Counts

3 → 9

Calls

3 calls:

64.0ms	(* (+ n 1.0) (log (+ n 1.0)))
211.0ms	(* n (log n))
190.0ms	(- (* (+ n 1.0) (log (+ n 1.0))) (* n (log n)))

simplify47.0ms

Counts: 90 → 90

prune188.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize22.0ms

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	(log (/ 1 n))
0.1b	(* 0.16666666666666669 (/ 1 (pow n 2)))
0.5b	(/ 1 (pow n 2))

rewrite690.0ms

Algorithm

rewrite-expression-head

Rules

65×	`times-frac`
64×	`add-sqr-sqrt`
57×	`*-un-lft-identity`
44×	`add-cube-cbrt`
38×	`add-exp-log`
28×	`associate-r`
23×	`unpow-prod-down`
18×	`add-log-exp`
14×	`div-exp`
13×	`log-prod`
11×	`add-cbrt-cube`
10×	`prod-exp`
9×	`unpow2` `unswap-sqr` `sqr-pow`
8×	`pow1` `associate-/r*`
7×	`rec-exp` `1-exp`
6×	`pow-to-exp` `diff-log` `pow-exp`
4×	`rem-log-exp` `sum-log` `distribute-lft-out--`
3×	`associate-l` `log-pow` `div-inv` `associate-/l*`
2×	`cbrt-undiv` `pow-flip` `cbrt-unprod` `distribute-lft-out` `inv-pow`
1×	`associate--l-` `associate-+l-` `sub-neg` `log-div` `flip3--` `frac-2neg` `associate-r/` `log-rec` `pow-prod-down` `associate--l+` `clear-num` `un-div-inv` `-commutative` `flip--` `difference-of-squares`

Counts

4 → 170

Calls

4 calls:

648.0ms	(- (+ (- 1.0 (+ (* 1.0 (log (/ 1 n))) (* 0.16666666666666669 (/ 1 (pow n 2))))) (/ 0.5 n)) 1.0)
3.0ms	(log (/ 1 n))
23.0ms	(* 0.16666666666666669 (/ 1 (pow n 2)))
8.0ms	(/ 1 (pow n 2))

series218.0ms

Counts

4 → 12

Calls

4 calls:

38.0ms	(- (+ (- 1.0 (+ (* 1.0 (log (/ 1 n))) (* 0.16666666666666669 (/ 1 (pow n 2))))) (/ 0.5 n)) 1.0)
136.0ms	(log (/ 1 n))
26.0ms	(* 0.16666666666666669 (/ 1 (pow n 2)))
18.0ms	(/ 1 (pow n 2))

simplify55.0ms

Counts: 182 → 182

prune342.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0b

localize13.0ms

Local error

Found 2 expressions with local error:

0.0b	(* 0.5 (/ 1 n))
0.4b	(/ 0.16666666666666669 (pow n 2))

rewrite31.0ms

Algorithm

rewrite-expression-head

Rules

35×	`times-frac`
34×	`add-sqr-sqrt`
28×	`*-un-lft-identity`
27×	`add-cube-cbrt`
16×	`add-exp-log`
13×	`associate-r`
12×	`unpow-prod-down`
9×	`add-cbrt-cube`
8×	`associate-/r*`
5×	`div-exp`
4×	`pow1` `prod-exp` `unpow2` `sqr-pow`
3×	`associate-l` `associate-/l*` `unswap-sqr`
2×	`cbrt-undiv` `cbrt-unprod` `div-inv` `add-log-exp`
1×	`pow-to-exp` `rec-exp` `frac-2neg` `1-exp` `associate-r/` `pow-prod-down` `pow-exp` `clear-num` `un-div-inv` `-commutative`

Counts

2 → 85

Calls

2 calls:

20.0ms	(* 0.5 (/ 1 n))
7.0ms	(/ 0.16666666666666669 (pow n 2))

series44.0ms

Counts

2 → 6

Calls

2 calls:

17.0ms	(* 0.5 (/ 1 n))
27.0ms	(/ 0.16666666666666669 (pow n 2))

simplify35.0ms

Counts: 91 → 91

prune197.0ms

Pruning

1 alts after pruning (0 fresh and 1 done)

Merged error: 0b

simplify1.0ms

end0.0ms

sample3.1s

Algorithm

intervals

Results

1.9s	3654×	body	1280	valid
694.0ms	2566×	body	640	valid
208.0ms	1356×	body	320	valid
118.0ms	8000×	pre	80	true
41.0ms	424×	body	160	valid