Details

sample799.0ms

Algorithm

intervals

Results

410.0ms	91×	body	640	valid
155.0ms	256×	pre	80	true
145.0ms	112×	body	1280	valid
16.0ms	36×	body	320	valid
3.0ms	17×	body	160	valid

simplify21.1s

Counts

1 → 1

Iterations

Iter	Nodes
done	5001
13	4397
12	3407
11	3047
10	2743
9	1804
8	1207
7	916
6	697
5	470
4	231
3	112
2	41
1	18
0	9

prune22.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 63.0b

localize77.0ms

Local error

Found 3 expressions with local error:

0.2b	(* (+ n 1.0) (log (+ n 1.0)))
0.2b	(* n (log n))
5.4b	(- (* (+ n 1.0) (log (+ n 1.0))) (* n (log n)))

rewrite231.0ms

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:

107.0ms	(* (+ n 1.0) (log (+ n 1.0)))
26.0ms	(* n (log n))
89.0ms	(- (* (+ n 1.0) (log (+ n 1.0))) (* n (log n)))

series1.9s

Counts

3 → 9

Calls

3 calls:

212.0ms	(* (+ n 1.0) (log (+ n 1.0)))
664.0ms	(* n (log n))
1.0s	(- (* (+ n 1.0) (log (+ n 1.0))) (* n (log n)))

simplify6.6s

Counts

90 → 90

Iterations

Iter	Nodes
done	5000
2	1321
1	448
0	171

prune2.8s

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize461.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ 1.0 (* 1.0 (log n)))
0.0b	(- (+ (- (+ 1.0 (* 1.0 (log n))) (/ 0.16666666666666669 (* n n))) (/ 0.5 n)) 1.0)
1.2b	(/ 0.16666666666666669 (* n n))

rewrite3.9s

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 59

Calls

3 calls:

26.0ms	(+ 1.0 (* 1.0 (log n)))
3.7s	(- (+ (- (+ 1.0 (* 1.0 (log n))) (/ 0.16666666666666669 (* n n))) (/ 0.5 n)) 1.0)
57.0ms	(/ 0.16666666666666669 (* n n))

series1.5s

Counts

3 → 9

Calls

3 calls:

886.0ms	(+ 1.0 (* 1.0 (log n)))
330.0ms	(- (+ (- (+ 1.0 (* 1.0 (log n))) (/ 0.16666666666666669 (* n n))) (/ 0.5 n)) 1.0)
253.0ms	(/ 0.16666666666666669 (* n n))

simplify6.3s

Counts

68 → 68

Iterations

Iter	Nodes
done	5003
2	1197
1	360
0	147

prune1.1s

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0b

localize53.0ms

Local error

Found 1 expressions with local error:

0.1b	(/ (/ 0.16666666666666669 n) n)

rewrite33.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

1 → 70

Calls

1 calls:

26.0ms

(/ (/ 0.16666666666666669 n) n)

series63.0ms

Counts

1 → 3

Calls

1 calls:

63.0ms

(/ (/ 0.16666666666666669 n) n)

simplify10.3s

Counts

73 → 73

Iterations

Iter	Nodes
done	5009
3	4430
2	830
1	316
0	140

prune813.0ms

Pruning

1 alts after pruning (0 fresh and 1 done)

Merged error: 0b

simplify4.0ms

Iterations

Iter	Nodes
done	13
1	13
0	11

end0.0ms

sample10.6s

Algorithm

intervals

Results

4.5s	3582×	body	1280	valid
2.8s	2576×	body	640	valid
1.5s	446×	body	160	valid
738.0ms	1396×	body	320	valid
681.0ms	8000×	pre	80	true