Details

sample342.0ms

Algorithm

intervals

Results

118.0ms	98×	body	1280	valid
38.0ms	38×	body	10240	exit
35.0ms	41×	body	640	valid
31.0ms	175×	body	80	nan
28.0ms	166×	body	80	valid
27.0ms	21×	body	1280	nan
15.0ms	16×	body	640	nan
13.0ms	25×	body	320	valid
5.0ms	15×	body	160	valid
3.0ms	10×	body	160	nan
3.0ms	4×	body	320	nan

simplify1.3s

Counts

1 → 1

Iterations

Iter	Nodes
done	2068
6	2068
5	1169
4	263
3	84
2	36
1	19
0	8

prune7.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 28.2b

localize19.0ms

Local error

Found 3 expressions with local error:

0.5b	(pow x (/ 1 n))
1.0b	(pow (+ x 1) (/ 1 n))
1.5b	(- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n)))

rewrite80.0ms

Algorithm

rewrite-expression-head

Rules

31×	`add-sqr-sqrt`
28×	`*-un-lft-identity`
26×	`pow-unpow`
19×	`add-cube-cbrt`
18×	`times-frac`
17×	`unpow-prod-down`
9×	`difference-of-squares`
8×	`sqr-pow`
5×	`pow1` `add-exp-log` `add-log-exp`
3×	`add-cbrt-cube` `insert-posit16` `distribute-lft-out--`
2×	`pow-to-exp` `pow-pow` `pow-exp` `div-inv` `distribute-lft-out`
1×	`sub-neg` `flip3--` `diff-log` `flip--`

Counts

3 → 82

Calls

3 calls:

3.0ms	(pow x (/ 1 n))
7.0ms	(pow (+ x 1) (/ 1 n))
69.0ms	(- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n)))

series435.0ms

Counts

3 → 9

Calls

3 calls:

76.0ms	(pow x (/ 1 n))
108.0ms	(pow (+ x 1) (/ 1 n))
251.0ms	(- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n)))

simplify1.1s

Counts

91 → 91

Iterations

Iter	Nodes
done	2003
3	2003
2	1224
1	473
0	176

prune1.0s

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 20.1b

localize33.0ms

Local error

Found 4 expressions with local error:

1.0b	(pow (+ x 1) (/ 1 n))
1.5b	(- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n)))
1.5b	(- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n)))
1.5b	(- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n)))

rewrite209.0ms

Algorithm

rewrite-expression-head

Rules

48×	`add-sqr-sqrt`
35×	`*-un-lft-identity`
34×	`unpow-prod-down`
27×	`difference-of-squares`
19×	`sqr-pow`
13×	`pow-unpow`
12×	`add-cube-cbrt`
10×	`add-log-exp`
9×	`times-frac` `distribute-lft-out--`
5×	`pow1` `add-exp-log`
4×	`add-cbrt-cube` `insert-posit16` `distribute-lft-out`
3×	`sub-neg` `flip3--` `diff-log` `flip--`
1×	`pow-to-exp` `pow-pow` `pow-exp` `div-inv`

Counts

4 → 104

Calls

4 calls:

12.0ms	(pow (+ x 1) (/ 1 n))
53.0ms	(- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n)))
54.0ms	(- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n)))
87.0ms	(- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n)))

series799.0ms

Counts

4 → 12

Calls

4 calls:

90.0ms	(pow (+ x 1) (/ 1 n))
247.0ms	(- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n)))
253.0ms	(- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n)))
210.0ms	(- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n)))

simplify1.1s

Counts

116 → 116

Iterations

Iter	Nodes
done	2006
3	2006
2	827
1	348
0	136

prune1.7s

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 20.1b

localize50.0ms

Local error

Found 4 expressions with local error:

1.5b	(- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n)))
1.5b	(- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n)))
1.5b	(- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n)))
1.5b	(- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n)))

rewrite260.0ms

Algorithm

rewrite-expression-head

Rules

52×	`add-sqr-sqrt`
40×	`unpow-prod-down`
36×	`difference-of-squares`
32×	`*-un-lft-identity`
24×	`sqr-pow`
12×	`distribute-lft-out--` `add-log-exp`
4×	`pow1` `sub-neg` `flip3--` `add-cbrt-cube` `diff-log` `add-exp-log` `add-cube-cbrt` `insert-posit16` `flip--` `distribute-lft-out`

Counts

4 → 100

Calls

4 calls:

64.0ms	(- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n)))
47.0ms	(- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n)))
90.0ms	(- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n)))
57.0ms	(- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n)))

series1.0s

Counts

4 → 12

Calls

4 calls:

291.0ms	(- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n)))
254.0ms	(- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n)))
217.0ms	(- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n)))
272.0ms	(- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n)))

simplify1.2s

Counts

112 → 112

Iterations

Iter	Nodes
done	2001
4	2001
3	1332
2	451
1	191
0	86

prune1.6s

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 20.1b

localize68.0ms

Local error

Found 4 expressions with local error:

1.5b	(- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n)))
1.5b	(- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n)))
1.5b	(- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n)))
1.5b	(- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n)))

rewrite273.0ms

Algorithm

rewrite-expression-head

Rules

52×	`add-sqr-sqrt`
40×	`unpow-prod-down`
36×	`difference-of-squares`
32×	`*-un-lft-identity`
24×	`sqr-pow`
12×	`distribute-lft-out--` `add-log-exp`
4×	`pow1` `sub-neg` `flip3--` `add-cbrt-cube` `diff-log` `add-exp-log` `add-cube-cbrt` `insert-posit16` `flip--` `distribute-lft-out`

Counts

4 → 100

Calls

4 calls:

73.0ms	(- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n)))
74.0ms	(- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n)))
57.0ms	(- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n)))
66.0ms	(- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n)))

series1.1s

Counts

4 → 12

Calls

4 calls:

288.0ms	(- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n)))
294.0ms	(- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n)))
255.0ms	(- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n)))
282.0ms	(- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n)))

simplify1.6s

Counts

112 → 112

Iterations

Iter	Nodes
done	2001
4	2001
3	1332
2	451
1	191
0	86

prune2.0s

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 20.1b

regimes410.0ms

Accuracy

85.8% (1.1b remaining)

Error of 22.4b against oracle of 21.3b and baseline of 29.2b

bsearch2.0ms

simplify29.0ms

Iterations

Iter	Nodes
done	60
1	60
0	46

end0.0ms

sample11.0s

Algorithm

intervals

Results

3.8s	3100×	body	1280	valid
1.4s	1632×	body	640	valid
1.4s	1174×	body	10240	exit
1.2s	649×	body	1280	nan
716.0ms	4700×	body	80	valid
607.0ms	5090×	body	80	nan
533.0ms	873×	body	320	valid
521.0ms	690×	body	640	nan
176.0ms	443×	body	160	valid
172.0ms	362×	body	320	nan
59.0ms	210×	body	160	nan