Details

sample195.0ms

Algorithm

intervals

Results

70.0ms	103×	body	1280	valid
22.0ms	44×	body	640	valid
18.0ms	40×	body	10240	exit
11.0ms	18×	body	1280	nan
11.0ms	34×	body	320	valid
10.0ms	174×	body	80	nan
10.0ms	137×	body	80	valid
9.0ms	18×	body	640	nan
3.0ms	13×	body	320	nan
2.0ms	11×	body	160	valid
1.0ms	8×	body	160	nan

simplify3.3s

Counts

1 → 1

Iterations

Iter	Nodes
done	5004
6	2902
5	690
4	225
3	81
2	34
1	17
0	8

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 26.5b

localize24.0ms

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)))

rewrite94.0ms

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:

3.0ms	(pow x (/ 1.0 n))
8.0ms	(pow (+ x 1.0) (/ 1.0 n))
80.0ms	(- (pow (+ x 1.0) (/ 1.0 n)) (pow x (/ 1.0 n)))

series664.0ms

Counts

3 → 9

Calls

3 calls:

99.0ms	(pow x (/ 1.0 n))
208.0ms	(pow (+ x 1.0) (/ 1.0 n))
356.0ms	(- (pow (+ x 1.0) (/ 1.0 n)) (pow x (/ 1.0 n)))

simplify3.2s

Counts

88 → 88

Iterations

Iter	Nodes
done	5000
3	4849
2	1452
1	530
0	189

prune540.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 19.3b

localize61.0ms

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)))

rewrite217.0ms

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:

10.0ms	(pow (+ x 1.0) (/ 1.0 n))
64.0ms	(- (pow (+ x 1.0) (/ 1.0 n)) (pow x (/ 1.0 n)))
72.0ms	(- (pow (+ x 1.0) (/ 1.0 n)) (pow x (/ 1.0 n)))
67.0ms	(- (pow (+ x 1.0) (/ 1.0 n)) (pow x (/ 1.0 n)))

series1.4s

Counts

4 → 12

Calls

4 calls:

204.0ms	(pow (+ x 1.0) (/ 1.0 n))
385.0ms	(- (pow (+ x 1.0) (/ 1.0 n)) (pow x (/ 1.0 n)))
401.0ms	(- (pow (+ x 1.0) (/ 1.0 n)) (pow x (/ 1.0 n)))
425.0ms	(- (pow (+ x 1.0) (/ 1.0 n)) (pow x (/ 1.0 n)))

simplify2.4s

Counts

112 → 112

Iterations

Iter	Nodes
done	5001
3	3323
2	1025
1	394
0	148

prune1.1s

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 19.3b

localize104.0ms

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)))

rewrite322.0ms

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:

91.0ms	(- (pow (+ x 1.0) (/ 1.0 n)) (pow x (/ 1.0 n)))
69.0ms	(- (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)))
72.0ms	(- (pow (+ x 1.0) (/ 1.0 n)) (pow x (/ 1.0 n)))

series1.5s

Counts

4 → 12

Calls

4 calls:

335.0ms	(- (pow (+ x 1.0) (/ 1.0 n)) (pow x (/ 1.0 n)))
390.0ms	(- (pow (+ x 1.0) (/ 1.0 n)) (pow x (/ 1.0 n)))
364.0ms	(- (pow (+ x 1.0) (/ 1.0 n)) (pow x (/ 1.0 n)))
426.0ms	(- (pow (+ x 1.0) (/ 1.0 n)) (pow x (/ 1.0 n)))

simplify2.0s

Counts

108 → 108

Iterations

Iter	Nodes
done	5009
3	1831
2	586
1	223
0	95

prune1.0s

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 19.3b

localize171.0ms

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)))

rewrite432.0ms

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:

119.0ms	(- (pow (+ x 1.0) (/ 1.0 n)) (pow x (/ 1.0 n)))
91.0ms	(- (pow (+ x 1.0) (/ 1.0 n)) (pow x (/ 1.0 n)))
121.0ms	(- (pow (+ x 1.0) (/ 1.0 n)) (pow x (/ 1.0 n)))
94.0ms	(- (sqrt (pow (+ x 1.0) (/ 1.0 n))) (pow x (/ (/ 1.0 n) 2)))

series1.7s

Counts

4 → 12

Calls

4 calls:

373.0ms	(- (pow (+ x 1.0) (/ 1.0 n)) (pow x (/ 1.0 n)))
399.0ms	(- (pow (+ x 1.0) (/ 1.0 n)) (pow x (/ 1.0 n)))
369.0ms	(- (pow (+ x 1.0) (/ 1.0 n)) (pow x (/ 1.0 n)))
544.0ms	(- (sqrt (pow (+ x 1.0) (/ 1.0 n))) (pow x (/ (/ 1.0 n) 2)))

simplify2.4s

Counts

109 → 109

Iterations

Iter	Nodes
done	5000
3	3422
2	989
1	372
0	155

prune1.2s

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 19.3b

regimes403.0ms

Accuracy

85% (1.3b remaining)

Error of 22.3b against oracle of 21.0b and baseline of 29.6b

bsearch1.0ms

simplify8.0ms

Iterations

Iter	Nodes
done	44
1	44
0	33

end0.0ms

sample7.9s

Algorithm

intervals

Results

2.8s	3152×	body	1280	valid
1.3s	1162×	body	10240	exit
823.0ms	1605×	body	640	valid
490.0ms	637×	body	1280	nan
480.0ms	4648×	body	80	valid
475.0ms	632×	body	640	nan
367.0ms	848×	body	320	valid
322.0ms	4956×	body	80	nan
132.0ms	491×	body	160	valid
91.0ms	313×	body	320	nan
35.0ms	199×	body	160	nan