Details

sample160.0ms

Algorithm

intervals

Results

75.0ms	122×	body	1280	valid
39.0ms	87×	body	640	valid
12.0ms	39×	body	320	valid
6.0ms	256×	pre	80	true
1.0ms	8×	body	160	valid

simplify10.1s

Counts

1 → 1

Iterations

Iter	Nodes
done	5002
13	4900
12	3723
11	3170
10	2700
9	1772
8	1205
7	919
6	716
5	496
4	240
3	112
2	41
1	18
0	9

prune16.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 63.0b

localize89.0ms

Local error

Found 3 expressions with local error:

0.3b	(* n (log n))
0.3b	(* (+ n 1.0) (log (+ n 1.0)))
4.3b	(- (* (+ n 1.0) (log (+ n 1.0))) (* n (log n)))

rewrite185.0ms

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:

39.0ms	(* n (log n))
68.0ms	(* (+ n 1.0) (log (+ n 1.0)))
67.0ms	(- (* (+ n 1.0) (log (+ n 1.0))) (* n (log n)))

series806.0ms

Counts

3 → 9

Calls

3 calls:

343.0ms	(* n (log n))
100.0ms	(* (+ n 1.0) (log (+ n 1.0)))
363.0ms	(- (* (+ n 1.0) (log (+ n 1.0))) (* n (log n)))

simplify3.3s

Counts

93 → 93

Iterations

Iter	Nodes
done	5000
2	1324
1	457
0	174

prune841.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize142.0ms

Local error

Found 2 expressions with local error:

0.0b	(- (+ (- (+ 1.0 (/ 0.5 n)) (/ 0.16666666666666669 (* n n))) (* 1.0 (log n))) 1.0)
0.6b	(/ 0.16666666666666669 (* n n))

rewrite4.5s

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 42

Calls

2 calls:

4.5s	(- (+ (- (+ 1.0 (/ 0.5 n)) (/ 0.16666666666666669 (* n n))) (* 1.0 (log n))) 1.0)
30.0ms	(/ 0.16666666666666669 (* n n))

series116.0ms

Counts

2 → 6

Calls

2 calls:

71.0ms	(- (+ (- (+ 1.0 (/ 0.5 n)) (/ 0.16666666666666669 (* n n))) (* 1.0 (log n))) 1.0)
45.0ms	(/ 0.16666666666666669 (* n n))

simplify8.5s

Counts

48 → 48

Iterations

Iter	Nodes
done	5008
3	4869
2	873
1	272
0	113

prune463.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0b

localize70.0ms

Local error

Found 1 expressions with local error:

0.6b	(/ 0.16666666666666669 (* n n))

rewrite20.0ms

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:

19.0ms

(/ 0.16666666666666669 (* n n))

series36.0ms

Counts

1 → 3

Calls

1 calls:

36.0ms

(/ 0.16666666666666669 (* n n))

simplify3.0s

Counts

25 → 25

Iterations

Iter	Nodes
done	5002
3	1334
2	331
1	102
0	44

prune271.0ms

Pruning

1 alts after pruning (0 fresh and 1 done)

Merged error: 0b

simplify5.0ms

Iterations

Iter	Nodes
done	13
1	13
0	11

end0.0ms

sample5.8s

Algorithm

intervals

Results

3.1s	3672×	body	1280	valid
1.4s	2619×	body	640	valid
581.0ms	8000×	pre	80	true
394.0ms	1292×	body	320	valid
81.0ms	417×	body	160	valid