Details

sample295.0ms

Algorithm

intervals

Results

98.0ms	98×	body	1280	valid
36.0ms	38×	body	10240	exit
34.0ms	21×	body	1280	nan
28.0ms	41×	body	640	valid
23.0ms	166×	body	80	valid
19.0ms	175×	body	80	nan
11.0ms	25×	body	320	valid
11.0ms	16×	body	640	nan
5.0ms	15×	body	160	valid
3.0ms	4×	body	320	nan
2.0ms	10×	body	160	nan

simplify1.5s

Counts

1 → 1

Iterations

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

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 28.2b

localize22.0ms

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)))

rewrite78.0ms

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:

5.0ms	(pow x (/ 1 n))
13.0ms	(pow (+ x 1) (/ 1 n))
58.0ms	(- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n)))

series451.0ms

Counts

3 → 9

Calls

3 calls:

87.0ms	(pow x (/ 1 n))
124.0ms	(pow (+ x 1) (/ 1 n))
240.0ms	(- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n)))

simplify1.2s

Counts

91 → 91

Iterations

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

prune588.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 20.1b

localize31.0ms

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)))

rewrite215.0ms

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:

7.0ms	(pow (+ x 1) (/ 1 n))
49.0ms	(- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n)))
88.0ms	(- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n)))
69.0ms	(- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n)))

series880.0ms

Counts

4 → 12

Calls

4 calls:

119.0ms	(pow (+ x 1) (/ 1 n))
264.0ms	(- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n)))
230.0ms	(- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n)))
267.0ms	(- (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

prune769.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 20.1b

localize60.0ms

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)))

rewrite238.0ms

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:

57.0ms	(- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n)))
61.0ms	(- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n)))
53.0ms	(- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n)))
65.0ms	(- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n)))

series1.0s

Counts

4 → 12

Calls

4 calls:

270.0ms	(- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n)))
236.0ms	(- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n)))
269.0ms	(- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n)))
266.0ms	(- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n)))

simplify1.3s

Counts

112 → 112

Iterations

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

prune944.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 20.1b

localize67.0ms

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)))

rewrite310.0ms

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:

90.0ms	(- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n)))
91.0ms	(- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n)))
61.0ms	(- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n)))
65.0ms	(- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n)))

series1.0s

Counts

4 → 12

Calls

4 calls:

276.0ms	(- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n)))
215.0ms	(- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n)))
270.0ms	(- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n)))
260.0ms	(- (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

prune1.1s

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 20.1b

regimes433.0ms

Accuracy

85.8% (1.1b remaining)

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

bsearch1.0ms

simplify12.0ms

Iterations

Iter	Nodes
done	60
1	60
0	46

end0.0ms

sample11.1s

Algorithm

intervals

Results

4.3s	3100×	body	1280	valid
1.3s	1174×	body	10240	exit
1.3s	1632×	body	640	valid
825.0ms	4700×	body	80	valid
767.0ms	649×	body	1280	nan
719.0ms	690×	body	640	nan
636.0ms	5090×	body	80	nan
440.0ms	873×	body	320	valid
238.0ms	362×	body	320	nan
138.0ms	443×	body	160	valid
58.0ms	210×	body	160	nan