Details

sample208.0ms

Algorithm

intervals

Results

79.0ms	103×	body	1280	valid
22.0ms	44×	body	640	valid
19.0ms	40×	body	10240	exit
12.0ms	174×	body	80	nan
11.0ms	34×	body	320	valid
11.0ms	137×	body	80	valid
11.0ms	18×	body	1280	nan
9.0ms	18×	body	640	nan
4.0ms	13×	body	320	nan
2.0ms	11×	body	160	valid
1.0ms	8×	body	160	nan

simplify1.7s

Counts

1 → 1

Iterations

Iter	Nodes
done	5000
5	1231
4	238
3	81
2	34
1	17
0	8

prune10.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 26.5b

localize38.0ms

Local error

Found 3 expressions with local error:

0.7b	(pow x (/ 1.0 n))
1.4b	(pow (+ x 1.0) (/ 1.0 n))
3.6b	(- (pow (+ x 1.0) (/ 1.0 n)) (pow x (/ 1.0 n)))

rewrite155.0ms

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` `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 → 79

Calls

3 calls:

7.0ms	(pow x (/ 1.0 n))
18.0ms	(pow (+ x 1.0) (/ 1.0 n))
125.0ms	(- (pow (+ x 1.0) (/ 1.0 n)) (pow x (/ 1.0 n)))

series763.0ms

Counts

3 → 9

Calls

3 calls:

87.0ms	(pow x (/ 1.0 n))
238.0ms	(pow (+ x 1.0) (/ 1.0 n))
437.0ms	(- (pow (+ x 1.0) (/ 1.0 n)) (pow x (/ 1.0 n)))

simplify1.8s

Counts

88 → 88

Iterations

Iter	Nodes
done	5001
2	2073
1	544
0	189

prune557.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 19.0b

localize77.0ms

Local error

Found 4 expressions with local error:

1.4b	(pow (+ x 1.0) (/ 1.0 n))
3.6b	(- (pow (+ x 1.0) (/ 1.0 n)) (pow x (/ 1.0 n)))
3.6b	(- (pow (+ x 1.0) (/ 1.0 n)) (pow x (/ 1.0 n)))
3.6b	(- (pow (+ x 1.0) (/ 1.0 n)) (pow x (/ 1.0 n)))

rewrite258.0ms

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` `distribute-lft-out`
3×	`sub-neg` `flip3--` `diff-log` `flip--`
1×	`pow-to-exp` `pow-pow` `pow-exp` `div-inv`

Counts

4 → 100

Calls

4 calls:

9.0ms	(pow (+ x 1.0) (/ 1.0 n))
76.0ms	(- (pow (+ x 1.0) (/ 1.0 n)) (pow x (/ 1.0 n)))
71.0ms	(- (pow (+ x 1.0) (/ 1.0 n)) (pow x (/ 1.0 n)))
99.0ms	(- (pow (+ x 1.0) (/ 1.0 n)) (pow x (/ 1.0 n)))

series1.3s

Counts

4 → 12

Calls

4 calls:

196.0ms	(pow (+ x 1.0) (/ 1.0 n))
387.0ms	(- (pow (+ x 1.0) (/ 1.0 n)) (pow x (/ 1.0 n)))
375.0ms	(- (pow (+ x 1.0) (/ 1.0 n)) (pow x (/ 1.0 n)))
360.0ms	(- (pow (+ x 1.0) (/ 1.0 n)) (pow x (/ 1.0 n)))

simplify1.3s

Counts

112 → 112

Iterations

Iter	Nodes
done	5000
2	1420
1	401
0	148

prune907.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 19.0b

localize163.0ms

Local error

Found 4 expressions with local error:

3.6b	(- (pow (+ x 1.0) (/ 1.0 n)) (pow x (/ 1.0 n)))
3.6b	(- (pow (+ x 1.0) (/ 1.0 n)) (pow x (/ 1.0 n)))
3.6b	(- (pow (+ x 1.0) (/ 1.0 n)) (pow x (/ 1.0 n)))
3.6b	(- (pow (+ x 1.0) (/ 1.0 n)) (pow x (/ 1.0 n)))

rewrite316.0ms

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` `flip--` `distribute-lft-out`

Counts

4 → 96

Calls

4 calls:

75.0ms	(- (pow (+ x 1.0) (/ 1.0 n)) (pow x (/ 1.0 n)))
74.0ms	(- (pow (+ x 1.0) (/ 1.0 n)) (pow x (/ 1.0 n)))
73.0ms	(- (pow (+ x 1.0) (/ 1.0 n)) (pow x (/ 1.0 n)))
88.0ms	(- (pow (+ x 1.0) (/ 1.0 n)) (pow x (/ 1.0 n)))

series1.7s

Counts

4 → 12

Calls

4 calls:

454.0ms	(- (pow (+ x 1.0) (/ 1.0 n)) (pow x (/ 1.0 n)))
471.0ms	(- (pow (+ x 1.0) (/ 1.0 n)) (pow x (/ 1.0 n)))
396.0ms	(- (pow (+ x 1.0) (/ 1.0 n)) (pow x (/ 1.0 n)))
388.0ms	(- (pow (+ x 1.0) (/ 1.0 n)) (pow x (/ 1.0 n)))

simplify1.8s

Counts

108 → 108

Iterations

Iter	Nodes
done	5002
3	3678
2	693
1	223
0	95

prune990.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 19.0b

localize177.0ms

Local error

Found 4 expressions with local error:

3.6b	(- (pow (+ x 1.0) (/ 1.0 n)) (pow x (/ 1.0 n)))
3.6b	(- (pow (+ x 1.0) (/ 1.0 n)) (pow x (/ 1.0 n)))
3.6b	(- (pow (+ x 1.0) (/ 1.0 n)) (pow x (/ 1.0 n)))
4.4b	(- (sqrt (pow (+ x 1.0) (/ 1.0 n))) (pow x (/ (/ 1.0 n) 2)))

rewrite340.0ms

Algorithm

rewrite-expression-head

Rules

57×	`add-sqr-sqrt`
39×	`difference-of-squares`
37×	`unpow-prod-down`
27×	`*-un-lft-identity`
25×	`sqr-pow`
12×	`add-log-exp`
10×	`distribute-lft-out--`
9×	`sqrt-prod`
4×	`pow1` `sub-neg` `flip3--` `add-cbrt-cube` `diff-log` `add-exp-log` `add-cube-cbrt` `flip--`
3×	`distribute-lft-out`

Counts

4 → 97

Calls

4 calls:

61.0ms	(- (pow (+ x 1.0) (/ 1.0 n)) (pow x (/ 1.0 n)))
83.0ms	(- (pow (+ x 1.0) (/ 1.0 n)) (pow x (/ 1.0 n)))
103.0ms	(- (pow (+ x 1.0) (/ 1.0 n)) (pow x (/ 1.0 n)))
89.0ms	(- (sqrt (pow (+ x 1.0) (/ 1.0 n))) (pow x (/ (/ 1.0 n) 2)))

series1.8s

Counts

4 → 12

Calls

4 calls:

418.0ms	(- (pow (+ x 1.0) (/ 1.0 n)) (pow x (/ 1.0 n)))
428.0ms	(- (pow (+ x 1.0) (/ 1.0 n)) (pow x (/ 1.0 n)))
431.0ms	(- (pow (+ x 1.0) (/ 1.0 n)) (pow x (/ 1.0 n)))
524.0ms	(- (sqrt (pow (+ x 1.0) (/ 1.0 n))) (pow x (/ (/ 1.0 n) 2)))

simplify1.3s

Counts

109 → 109

Iterations

Iter	Nodes
done	5001
2	1215
1	372
0	155

prune1.3s

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 19.0b

regimes390.0ms

Accuracy

85.5% (1.3b remaining)

Error of 22.0b against oracle of 20.7b and baseline of 29.6b

bsearch1.0ms

simplify28.0ms

Iterations

Iter	Nodes
done	62
1	62
0	49

end0.0ms

sample8.2s

Algorithm

intervals

Results

2.5s	3152×	body	1280	valid
1.2s	4956×	body	80	nan
966.0ms	1605×	body	640	valid
897.0ms	1162×	body	10240	exit
679.0ms	637×	body	1280	nan
443.0ms	632×	body	640	nan
429.0ms	4648×	body	80	valid
304.0ms	848×	body	320	valid
132.0ms	313×	body	320	nan
117.0ms	491×	body	160	valid
36.0ms	199×	body	160	nan