Details

sample268.0ms

Algorithm

intervals

Results

74.0ms	91×	body	1280	valid
36.0ms	32×	body	10240	exit
34.0ms	53×	body	640	valid
30.0ms	11×	body	1280	nan
13.0ms	131×	body	80	valid
13.0ms	18×	body	640	nan
13.0ms	170×	body	80	nan
12.0ms	27×	body	320	valid
5.0ms	18×	body	160	valid
5.0ms	13×	body	320	nan
2.0ms	8×	body	160	nan

simplify3.6s

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	13
1	17	13
2	34	13
3	81	13
4	231	13
5	694	13
6	3452	13
done	5000	13

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 31.1b

localize11.0ms

Local error

Found 3 expressions with local error:

0.7b	(pow x (/ 1.0 n))
1.7b	(- (pow (+ x 1.0) (/ 1.0 n)) (pow x (/ 1.0 n)))
2.2b	(pow (+ x 1.0) (/ 1.0 n))

rewrite134.0ms

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:

8.0ms	(pow x (/ 1.0 n))
109.0ms	(- (pow (+ x 1.0) (/ 1.0 n)) (pow x (/ 1.0 n)))
12.0ms	(pow (+ x 1.0) (/ 1.0 n))

series697.0ms

Counts

3 → 9

Calls

3 calls:

84.0ms	(pow x (/ 1.0 n))
385.0ms	(- (pow (+ x 1.0) (/ 1.0 n)) (pow x (/ 1.0 n)))
227.0ms	(pow (+ x 1.0) (/ 1.0 n))

simplify2.6s

Counts

88 → 88

Iterations

Useful iterations: 3 (1.2s)

Iter	Nodes	Cost
0	190	1337
1	473	1246
2	1192	1206
3	3615	1183
done	5001	1183

prune402.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 21.6b

localize36.0ms

Local error

Found 4 expressions with local error:

0.7b	(pow x (/ 1.0 n))
1.7b	(- (sqrt (pow (+ x 1.0) (/ 1.0 n))) (sqrt (pow x (/ 1.0 n))))
2.2b	(pow (+ x 1.0) (/ 1.0 n))
2.2b	(pow (+ x 1.0) (/ 1.0 n))

rewrite165.0ms

Algorithm

rewrite-expression-head

Rules

52×	`add-sqr-sqrt`
41×	`*-un-lft-identity`
39×	`pow-unpow`
30×	`sqrt-prod`
28×	`add-cube-cbrt`
27×	`times-frac`
23×	`unpow-prod-down`
16×	`difference-of-squares`
11×	`sqr-pow`
7×	`pow1` `add-exp-log`
6×	`add-log-exp`
4×	`add-cbrt-cube` `distribute-lft-out--`
3×	`pow-to-exp` `pow-pow` `pow-exp` `div-inv` `distribute-lft-out`
1×	`sub-neg` `flip3--` `diff-log` `flip--`

Counts

4 → 115

Calls

4 calls:

5.0ms	(pow x (/ 1.0 n))
124.0ms	(- (sqrt (pow (+ x 1.0) (/ 1.0 n))) (sqrt (pow x (/ 1.0 n))))
13.0ms	(pow (+ x 1.0) (/ 1.0 n))
19.0ms	(pow (+ x 1.0) (/ 1.0 n))

series977.0ms

Counts

4 → 12

Calls

4 calls:

70.0ms	(pow x (/ 1.0 n))
479.0ms	(- (sqrt (pow (+ x 1.0) (/ 1.0 n))) (sqrt (pow x (/ 1.0 n))))
199.0ms	(pow (+ x 1.0) (/ 1.0 n))
229.0ms	(pow (+ x 1.0) (/ 1.0 n))

simplify2.4s

Counts

127 → 127

Iterations

Useful iterations: 3 (1.2s)

Iter	Nodes	Cost
0	204	2030
1	499	1910
2	1258	1842
3	3648	1817
done	5000	1817

prune707.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 21.5b

localize26.0ms

Local error

Found 4 expressions with local error:

0.7b	(pow x (/ 1.0 n))
1.7b	(- (sqrt (pow (+ x 1.0) (/ 1.0 n))) (sqrt (pow x (/ 1.0 n))))
2.2b	(pow (+ x 1.0) (/ 1.0 n))
2.2b	(pow (+ x 1.0) (/ 1.0 n))

rewrite173.0ms

Algorithm

rewrite-expression-head

Rules

52×	`add-sqr-sqrt`
41×	`*-un-lft-identity`
39×	`pow-unpow`
30×	`sqrt-prod`
28×	`add-cube-cbrt`
27×	`times-frac`
23×	`unpow-prod-down`
16×	`difference-of-squares`
11×	`sqr-pow`
7×	`pow1` `add-exp-log`
6×	`add-log-exp`
4×	`add-cbrt-cube` `distribute-lft-out--`
3×	`pow-to-exp` `pow-pow` `pow-exp` `div-inv` `distribute-lft-out`
1×	`sub-neg` `flip3--` `diff-log` `flip--`

Counts

4 → 115

Calls

4 calls:

5.0ms	(pow x (/ 1.0 n))
129.0ms	(- (sqrt (pow (+ x 1.0) (/ 1.0 n))) (sqrt (pow x (/ 1.0 n))))
12.0ms	(pow (+ x 1.0) (/ 1.0 n))
22.0ms	(pow (+ x 1.0) (/ 1.0 n))

series1.0s

Counts

4 → 12

Calls

4 calls:

73.0ms	(pow x (/ 1.0 n))
561.0ms	(- (sqrt (pow (+ x 1.0) (/ 1.0 n))) (sqrt (pow x (/ 1.0 n))))
163.0ms	(pow (+ x 1.0) (/ 1.0 n))
205.0ms	(pow (+ x 1.0) (/ 1.0 n))

simplify2.7s

Counts

127 → 127

Iterations

Useful iterations: 3 (1.4s)

Iter	Nodes	Cost
0	204	2030
1	499	1910
2	1258	1842
3	3648	1817
done	5000	1817

prune1.0s

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 21.5b

localize45.0ms

Local error

Found 4 expressions with local error:

0.7b	(pow x (/ 1.0 n))
1.7b	(- (sqrt (pow (+ x 1.0) (/ 1.0 n))) (sqrt (pow x (/ 1.0 n))))
2.2b	(pow (+ x 1.0) (/ 1.0 n))
2.2b	(pow (+ x 1.0) (/ 1.0 n))

rewrite164.0ms

Algorithm

rewrite-expression-head

Rules

52×	`add-sqr-sqrt`
41×	`*-un-lft-identity`
39×	`pow-unpow`
30×	`sqrt-prod`
28×	`add-cube-cbrt`
27×	`times-frac`
23×	`unpow-prod-down`
16×	`difference-of-squares`
11×	`sqr-pow`
7×	`pow1` `add-exp-log`
6×	`add-log-exp`
4×	`add-cbrt-cube` `distribute-lft-out--`
3×	`pow-to-exp` `pow-pow` `pow-exp` `div-inv` `distribute-lft-out`
1×	`sub-neg` `flip3--` `diff-log` `flip--`

Counts

4 → 115

Calls

4 calls:

4.0ms	(pow x (/ 1.0 n))
109.0ms	(- (sqrt (pow (+ x 1.0) (/ 1.0 n))) (sqrt (pow x (/ 1.0 n))))
22.0ms	(pow (+ x 1.0) (/ 1.0 n))
22.0ms	(pow (+ x 1.0) (/ 1.0 n))

series1.0s

Counts

4 → 12

Calls

4 calls:

95.0ms	(pow x (/ 1.0 n))
549.0ms	(- (sqrt (pow (+ x 1.0) (/ 1.0 n))) (sqrt (pow x (/ 1.0 n))))
188.0ms	(pow (+ x 1.0) (/ 1.0 n))
172.0ms	(pow (+ x 1.0) (/ 1.0 n))

simplify2.3s

Counts

127 → 127

Iterations

Useful iterations: 3 (1.0s)

Iter	Nodes	Cost
0	204	2030
1	499	1910
2	1258	1842
3	3648	1817
done	5000	1817

prune1.0s

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 21.5b

regimes305.0ms

Accuracy

83.7% (1.4b remaining)

Error of 22.2b against oracle of 20.8b and baseline of 29.3b

bsearch224.0ms

Steps

Iters	Range		Point
6	273697205435.7094	3744461241692.0635	1031392298459.7406
7	-3446.367806925191	-108.09236434424712	-3406.4169782224208

simplify10.0ms

Iterations

Useful iterations: 1 (6.0ms)

Iter	Nodes	Cost
0	40	94
1	52	72
done	52	72

end0.0ms

sample9.0s

Algorithm

intervals

Results

3.6s	3138×	body	1280	valid
954.0ms	1160×	body	10240	exit
921.0ms	1634×	body	640	valid
686.0ms	4732×	body	80	valid
568.0ms	643×	body	1280	nan
478.0ms	656×	body	640	nan
412.0ms	5002×	body	80	nan
344.0ms	827×	body	320	valid
121.0ms	361×	body	320	nan
99.0ms	436×	body	160	valid
39.0ms	199×	body	160	nan