Details

sample76.0ms

Algorithm

intervals

Results

19.0ms	60×	body	1280	valid
9.0ms	37×	body	640	valid
8.0ms	243×	body	80	nan
8.0ms	131×	body	80	valid
3.0ms	20×	body	320	valid
1.0ms	8×	body	160	valid

simplify7.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	7
1	9	7
2	10	7
done	10	7

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 29.5b

localize16.0ms

Local error

Found 2 expressions with local error:

2.0b	(log (+ N 1.0))
2.1b	(- (log (+ N 1.0)) (log N))

rewrite19.0ms

Algorithm

rewrite-expression-head

Rules

13×	`*-un-lft-identity`
11×	`log-prod`
7×	`pow1` `add-sqr-sqrt`
5×	`add-cube-cbrt` `log-pow`
4×	`log-div` `associate--l+` `distribute-lft-out--`
3×	`add-exp-log` `associate--r+`
2×	`associate--l-` `flip3-+` `add-cbrt-cube` `flip-+` `distribute-lft-out` `add-log-exp`
1×	`sub-neg` `flip3--` `diff-log` `rem-log-exp` `flip--` `difference-of-squares`

Counts

2 → 41

Calls

2 calls:

5.0ms	(log (+ N 1.0))
13.0ms	(- (log (+ N 1.0)) (log N))

series242.0ms

Counts

2 → 6

Calls

2 calls:

79.0ms	(log (+ N 1.0))
162.0ms	(- (log (+ N 1.0)) (log N))

simplify2.9s

Counts

47 → 47

Iterations

Useful iterations: done (2.9s)

Iter	Nodes	Cost
0	101	510
1	213	488
2	464	445
3	1067	443
4	2569	438
done	5000	426

prune176.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.1b

localize10.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (+ N 1.0) N)
2.3b	(log (/ (+ N 1.0) N))

rewrite52.0ms

Algorithm

rewrite-expression-head

Rules

33×	`*-un-lft-identity`
24×	`times-frac`
19×	`add-sqr-sqrt` `add-cube-cbrt`
16×	`log-prod`
7×	`add-exp-log` `distribute-lft-out`
4×	`add-cbrt-cube` `associate-/l*`
3×	`pow1` `associate-/r*`
2×	`div-exp` `rem-log-exp` `div-inv` `associate-/l/` `add-log-exp`
1×	`cbrt-undiv` `log-div` `frac-2neg` `flip3-+` `clear-num` `log-pow` `flip-+`

Counts

2 → 60

Calls

2 calls:

37.0ms	(/ (+ N 1.0) N)
11.0ms	(log (/ (+ N 1.0) N))

series166.0ms

Counts

2 → 6

Calls

2 calls:

55.0ms	(/ (+ N 1.0) N)
111.0ms	(log (/ (+ N 1.0) N))

simplify3.4s

Counts

66 → 66

Iterations

Useful iterations: 4 (1.9s)

Iter	Nodes	Cost
0	108	723
1	232	690
2	583	637
3	1417	624
4	3874	622
done	5001	622

prune154.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.1b

localize16.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt N)
0.6b	(cbrt N)
2.0b	(log (+ N 1.0))
23.1b	(- (- (log (+ N 1.0)) (* 2 (log (cbrt N)))) (log (cbrt N)))

rewrite77.0ms

Algorithm

rewrite-expression-head

Rules

17×	`*-un-lft-identity`
14×	`log-prod`
12×	`add-sqr-sqrt`
10×	`add-cube-cbrt` `associate--l+`
9×	`cbrt-prod`
6×	`pow1` `associate--r+` `add-log-exp`
5×	`add-exp-log`
4×	`add-cbrt-cube`
3×	`diff-log`
2×	`sub-neg` `log-div` `pow1/3` `log-pow` `distribute-lft-out` `distribute-lft-out--`
1×	`associate--l-` `flip3--` `flip3-+` `rem-log-exp` `flip--` `flip-+` `difference-of-squares`

Counts

4 → 66

Calls

4 calls:

1.0ms	(cbrt N)
1.0ms	(cbrt N)
5.0ms	(log (+ N 1.0))
69.0ms	(- (- (log (+ N 1.0)) (* 2 (log (cbrt N)))) (log (cbrt N)))

series788.0ms

Counts

4 → 12

Calls

4 calls:

240.0ms	(cbrt N)
306.0ms	(cbrt N)
64.0ms	(log (+ N 1.0))
177.0ms	(- (- (log (+ N 1.0)) (* 2 (log (cbrt N)))) (log (cbrt N)))

simplify2.3s

Counts

78 → 78

Iterations

Useful iterations: done (2.3s)

Iter	Nodes	Cost
0	141	922
1	326	820
2	815	698
3	2712	622
done	5000	600

prune318.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.1b

localize20.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (/ 1.0 N) (/ 0.5 (* N N)))
0.1b	(/ 0.3333333333333333 (pow N 3))
0.2b	(/ 0.5 (* N N))
14.2b	(+ (- (/ 1.0 N) (/ 0.5 (* N N))) (/ 0.3333333333333333 (pow N 3)))

rewrite328.0ms

Algorithm

rewrite-expression-head

Rules

43×	`times-frac`
41×	`add-sqr-sqrt`
38×	`*-un-lft-identity`
31×	`add-cube-cbrt`
14×	`add-exp-log`
13×	`associate-/r*`
12×	`unpow-prod-down` `cube-prod`
11×	`add-cbrt-cube` `add-log-exp`
6×	`associate-/l*`
5×	`div-exp`
4×	`pow1` `cube-mult` `unpow3` `difference-of-squares` `sqr-pow`
3×	`cbrt-undiv` `frac-add`
2×	`sub-neg` `associate-+l+` `flip3--` `frac-2neg` `diff-log` `clear-num` `sum-log` `frac-sub` `flip--` `div-inv` `distribute-lft-out` `distribute-lft-out--`
1×	`+-commutative` `pow-to-exp` `associate-+l-` `flip3-+` `pow-exp` `prod-exp` `cbrt-unprod` `flip-+`

Counts

4 → 124

Calls

4 calls:

49.0ms	(- (/ 1.0 N) (/ 0.5 (* N N)))
18.0ms	(/ 0.3333333333333333 (pow N 3))
16.0ms	(/ 0.5 (* N N))
236.0ms	(+ (- (/ 1.0 N) (/ 0.5 (* N N))) (/ 0.3333333333333333 (pow N 3)))

series260.0ms

Counts

4 → 12

Calls

4 calls:

95.0ms	(- (/ 1.0 N) (/ 0.5 (* N N)))
70.0ms	(/ 0.3333333333333333 (pow N 3))
59.0ms	(/ 0.5 (* N N))
36.0ms	(+ (- (/ 1.0 N) (/ 0.5 (* N N))) (/ 0.3333333333333333 (pow N 3)))

simplify1.3s

Counts

136 → 136

Iterations

Useful iterations: 2 (441.0ms)

Iter	Nodes	Cost
0	210	1847
1	447	1608
2	1557	1516
done	5001	1516

prune349.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.1b

regimes42.0ms

Accuracy

100% (0.0b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 28.8b

bsearch24.0ms

Steps

Iters	Range		Point
5	3739.899882177282	9207.496297094358	7287.699358996015

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	23
1	19	23
done	19	23

end0.0ms

sample2.8s

Algorithm

intervals

Results

869.0ms	7865×	body	80	nan
752.0ms	1720×	body	1280	valid
380.0ms	1262×	body	640	valid
293.0ms	4152×	body	80	valid
157.0ms	592×	body	320	valid
31.0ms	274×	body	160	valid