Details

sample131.0ms

Algorithm

intervals

Results

65.0ms	112×	body	1280	valid
32.0ms	86×	body	640	valid
10.0ms	256×	pre	80	true
9.0ms	37×	body	320	valid
5.0ms	21×	body	160	valid

simplify3.5s

Counts

1 → 1

Iterations

Iter	Nodes
11	4084
10	1771
9	1248
8	937
7	645
6	496
5	348
4	234
3	109
2	43
1	21
0	9

prune7.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 63.0b

localize18.0ms

Local error

Found 3 expressions with local error:

0.3b	(* n (log n))
0.3b	(* (+ n 1) (log (+ n 1)))
6.6b	(- (* (+ n 1) (log (+ n 1))) (* n (log n)))

rewrite60.0ms

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:

7.0ms	(* n (log n))
26.0ms	(* (+ n 1) (log (+ n 1)))
26.0ms	(- (* (+ n 1) (log (+ n 1))) (* n (log n)))

series471.0ms

Counts

3 → 9

Calls

3 calls:

288.0ms	(* n (log n))
45.0ms	(* (+ n 1) (log (+ n 1)))
137.0ms	(- (* (+ n 1) (log (+ n 1))) (* n (log n)))

simplify1.4s

Counts

93 → 93

Iterations

Iter	Nodes
3	3410
2	1085
1	406
0	162

prune724.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize42.0ms

Local error

Found 2 expressions with local error:

0.0b	(- (+ (+ 1 (+ (/ 1/2 n) (log n))) (/ -1/6 (* n n))) 1)
1.0b	(/ -1/6 (* n n))

rewrite931.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 47

Calls

2 calls:

912.0ms	(- (+ (+ 1 (+ (/ 1/2 n) (log n))) (/ -1/6 (* n n))) 1)
18.0ms	(/ -1/6 (* n n))

series70.0ms

Counts

2 → 6

Calls

2 calls:

38.0ms	(- (+ (+ 1 (+ (/ 1/2 n) (log n))) (/ -1/6 (* n n))) 1)
33.0ms	(/ -1/6 (* n n))

simplify1.4s

Counts

53 → 53

Iterations

Iter	Nodes
3	3710
2	761
1	259
0	108

prune508.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0b

localize24.0ms

Local error

Found 1 expressions with local error:

1.0b	(/ -1/6 (* n n))

rewrite11.0ms

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:

11.0ms

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

series28.0ms

Counts

1 → 3

Calls

1 calls:

28.0ms

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

simplify2.5s

Counts

25 → 25

Iterations

Iter	Nodes
4	4097
3	969
2	277
1	105
0	44

prune175.0ms

Pruning

1 alts after pruning (0 fresh and 1 done)

Merged error: 0b

simplify1.0ms

Iterations

Iter	Nodes
2	11
1	11
0	9

end0.0ms

sample6.1s

Algorithm

intervals

Results

3.2s	3666×	body	1280	valid
1.6s	2613×	body	640	valid
861.0ms	1299×	body	320	valid
224.0ms	8000×	pre	80	true
95.0ms	422×	body	160	valid