Details

sample118.0ms

Algorithm

intervals

Results

56.0ms	115×	body	1280	valid
31.0ms	87×	body	640	valid
10.0ms	42×	body	320	valid
4.0ms	256×	pre	80	true
2.0ms	12×	body	160	valid

simplify4.1s

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	9	15
1	18	15
2	43	15
3	115	15
4	370	15
5	1429	15
done	5001	15

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 63.0b

localize25.0ms

Local error

Found 3 expressions with local error:

0.2b	(* (+ n 1.0) (log (+ n 1.0)))
0.2b	(* n (log n))
5.6b	(- (* (+ n 1.0) (log (+ n 1.0))) (* n (log n)))

rewrite103.0ms

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:

55.0ms	(* (+ n 1.0) (log (+ n 1.0)))
10.0ms	(* n (log n))
32.0ms	(- (* (+ n 1.0) (log (+ n 1.0))) (* n (log n)))

series601.0ms

Counts

3 → 9

Calls

3 calls:

74.0ms	(* (+ n 1.0) (log (+ n 1.0)))
236.0ms	(* n (log n))
291.0ms	(- (* (+ n 1.0) (log (+ n 1.0))) (* n (log n)))

simplify1.5s

Counts

90 → 90

Iterations

Useful iterations: done (1.5s)

Iter	Nodes	Cost
0	171	1210
1	454	1150
2	2138	1038
done	5002	1027

prune282.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize26.0ms

Local error

Found 2 expressions with local error:

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

rewrite2.9s

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 43

Calls

2 calls:

2.9s	(- (- (+ (+ (/ 0.5 n) 1.0) (* 1.0 (log n))) (/ 0.16666666666666669 (* n n))) 1.0)
9.0ms	(/ 0.16666666666666669 (* n n))

series124.0ms

Counts

2 → 6

Calls

2 calls:

74.0ms	(- (- (+ (+ (/ 0.5 n) 1.0) (* 1.0 (log n))) (/ 0.16666666666666669 (* n n))) 1.0)
49.0ms	(/ 0.16666666666666669 (* n n))

simplify651.0ms

Counts

49 → 49

Iterations

Useful iterations: done (648.0ms)

Iter	Nodes	Cost
0	113	772
1	275	759
2	1209	682
done	5000	673

prune149.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0b

localize20.0ms

Local error

Found 1 expressions with local error:

1.0b	(/ 0.16666666666666669 (* n n))

rewrite21.0ms

Algorithm

rewrite-expression-head

Rules

6×	`add-exp-log` `add-cbrt-cube`
3×	`add-sqr-sqrt` `add-cube-cbrt` `-un-lft-identity` `times-frac` `associate-/l`
2×	`cbrt-undiv` `div-exp`
1×	`pow1` `frac-2neg` `prod-exp` `clear-num` `associate-/r*` `cbrt-unprod` `div-inv` `add-log-exp`

Counts

1 → 21

Calls

1 calls:

14.0ms

(/ 0.16666666666666669 (* n n))

series41.0ms

Counts

1 → 3

Calls

1 calls:

41.0ms

(/ 0.16666666666666669 (* n n))

simplify482.0ms

Counts

24 → 24

Iterations

Useful iterations: 2 (115.0ms)

Iter	Nodes	Cost
0	43	185
1	109	182
2	607	152
done	5000	152

prune53.0ms

Pruning

1 alts after pruning (0 fresh and 1 done)

Merged error: 0b

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	18
1	16	18
done	16	18

end0.0ms

sample3.9s

Algorithm

intervals

Results

2.1s	3685×	body	1280	valid
1.1s	2568×	body	640	valid
352.0ms	1330×	body	320	valid
104.0ms	8000×	pre	80	true
52.0ms	417×	body	160	valid