Details

sample250.0ms

Algorithm

intervals

Results

92.0ms	91×	body	1280	valid
31.0ms	53×	body	640	valid
27.0ms	32×	body	10240	exit
13.0ms	18×	body	640	nan
12.0ms	131×	body	80	valid
11.0ms	170×	body	80	nan
11.0ms	27×	body	320	valid
8.0ms	11×	body	1280	nan
5.0ms	18×	body	160	valid
4.0ms	13×	body	320	nan
2.0ms	8×	body	160	nan

simplify3.5s

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

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

localize12.0ms

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))

rewrite185.0ms

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:

10.0ms	(pow x (/ 1.0 n))
157.0ms	(- (pow (+ x 1.0) (/ 1.0 n)) (pow x (/ 1.0 n)))
12.0ms	(pow (+ x 1.0) (/ 1.0 n))

series722.0ms

Counts

3 → 9

Calls

3 calls:

72.0ms	(pow x (/ 1.0 n))
391.0ms	(- (pow (+ x 1.0) (/ 1.0 n)) (pow x (/ 1.0 n)))
258.0ms	(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

prune415.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 21.6b

localize27.0ms

Local error

Found 4 expressions with local error:

0.7b	(pow x (/ (/ 1.0 n) 2))
1.7b	(- (pow (+ x 1.0) (/ (/ 1.0 n) 2)) (pow x (/ (/ 1.0 n) 2)))
2.2b	(pow (+ x 1.0) (/ (/ 1.0 n) 2))
2.2b	(pow (+ x 1.0) (/ (/ 1.0 n) 2))

rewrite232.0ms

Algorithm

rewrite-expression-head

Rules

198×	`times-frac`
129×	`pow-unpow`
124×	`add-sqr-sqrt`
123×	`*-un-lft-identity`
112×	`add-cube-cbrt`
21×	`unpow-prod-down`
12×	`div-inv`
9×	`difference-of-squares` `sqr-pow`
7×	`pow1` `add-exp-log`
6×	`add-log-exp`
4×	`add-cbrt-cube`
3×	`pow-to-exp` `pow-pow` `pow-exp` `distribute-lft-out` `distribute-lft-out--`
1×	`sub-neg` `flip3--` `diff-log` `flip--`

Counts

4 → 197

Calls

4 calls:

8.0ms	(pow x (/ (/ 1.0 n) 2))
150.0ms	(- (pow (+ x 1.0) (/ (/ 1.0 n) 2)) (pow x (/ (/ 1.0 n) 2)))
27.0ms	(pow (+ x 1.0) (/ (/ 1.0 n) 2))
32.0ms	(pow (+ x 1.0) (/ (/ 1.0 n) 2))

series849.0ms

Counts

4 → 12

Calls

4 calls:

94.0ms	(pow x (/ (/ 1.0 n) 2))
358.0ms	(- (pow (+ x 1.0) (/ (/ 1.0 n) 2)) (pow x (/ (/ 1.0 n) 2)))
182.0ms	(pow (+ x 1.0) (/ (/ 1.0 n) 2))
215.0ms	(pow (+ x 1.0) (/ (/ 1.0 n) 2))

simplify1.3s

Counts

209 → 209

Iterations

Useful iterations: done (1.2s)

Iter	Nodes	Cost
0	297	3215
1	784	2889
2	1989	2839
done	5000	2824

prune1.2s

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 21.6b

localize25.0ms

Local error

Found 4 expressions with local error:

0.7b	(pow x (/ (/ 1.0 n) 2))
1.7b	(- (pow (+ x 1.0) (/ (/ 1.0 n) 2)) (pow x (/ (/ 1.0 n) 2)))
2.2b	(pow (+ x 1.0) (/ (/ 1.0 n) 2))
2.2b	(pow (+ x 1.0) (/ (/ 1.0 n) 2))

rewrite186.0ms

Algorithm

rewrite-expression-head

Rules

198×	`times-frac`
129×	`pow-unpow`
124×	`add-sqr-sqrt`
123×	`*-un-lft-identity`
112×	`add-cube-cbrt`
21×	`unpow-prod-down`
12×	`div-inv`
9×	`difference-of-squares` `sqr-pow`
7×	`pow1` `add-exp-log`
6×	`add-log-exp`
4×	`add-cbrt-cube`
3×	`pow-to-exp` `pow-pow` `pow-exp` `distribute-lft-out` `distribute-lft-out--`
1×	`sub-neg` `flip3--` `diff-log` `flip--`

Counts

4 → 197

Calls

4 calls:

14.0ms	(pow x (/ (/ 1.0 n) 2))
121.0ms	(- (pow (+ x 1.0) (/ (/ 1.0 n) 2)) (pow x (/ (/ 1.0 n) 2)))
14.0ms	(pow (+ x 1.0) (/ (/ 1.0 n) 2))
22.0ms	(pow (+ x 1.0) (/ (/ 1.0 n) 2))

series938.0ms

Counts

4 → 12

Calls

4 calls:

75.0ms	(pow x (/ (/ 1.0 n) 2))
391.0ms	(- (pow (+ x 1.0) (/ (/ 1.0 n) 2)) (pow x (/ (/ 1.0 n) 2)))
238.0ms	(pow (+ x 1.0) (/ (/ 1.0 n) 2))
234.0ms	(pow (+ x 1.0) (/ (/ 1.0 n) 2))

simplify1.4s

Counts

209 → 209

Iterations

Useful iterations: done (1.4s)

Iter	Nodes	Cost
0	297	3215
1	784	2889
2	1989	2839
done	5000	2824

prune1.5s

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 21.6b

localize41.0ms

Local error

Found 4 expressions with local error:

0.7b	(pow x (/ (/ 1.0 n) 2))
1.7b	(- (pow (+ x 1.0) (/ (/ 1.0 n) 2)) (pow x (/ (/ 1.0 n) 2)))
2.2b	(pow (+ x 1.0) (/ (/ 1.0 n) 2))
2.2b	(pow (+ x 1.0) (/ (/ 1.0 n) 2))

rewrite173.0ms

Algorithm

rewrite-expression-head

Rules

198×	`times-frac`
129×	`pow-unpow`
124×	`add-sqr-sqrt`
123×	`*-un-lft-identity`
112×	`add-cube-cbrt`
21×	`unpow-prod-down`
12×	`div-inv`
9×	`difference-of-squares` `sqr-pow`
7×	`pow1` `add-exp-log`
6×	`add-log-exp`
4×	`add-cbrt-cube`
3×	`pow-to-exp` `pow-pow` `pow-exp` `distribute-lft-out` `distribute-lft-out--`
1×	`sub-neg` `flip3--` `diff-log` `flip--`

Counts

4 → 197

Calls

4 calls:

7.0ms	(pow x (/ (/ 1.0 n) 2))
109.0ms	(- (pow (+ x 1.0) (/ (/ 1.0 n) 2)) (pow x (/ (/ 1.0 n) 2)))
14.0ms	(pow (+ x 1.0) (/ (/ 1.0 n) 2))
31.0ms	(pow (+ x 1.0) (/ (/ 1.0 n) 2))

series943.0ms

Counts

4 → 12

Calls

4 calls:

89.0ms	(pow x (/ (/ 1.0 n) 2))
433.0ms	(- (pow (+ x 1.0) (/ (/ 1.0 n) 2)) (pow x (/ (/ 1.0 n) 2)))
205.0ms	(pow (+ x 1.0) (/ (/ 1.0 n) 2))
216.0ms	(pow (+ x 1.0) (/ (/ 1.0 n) 2))

simplify1.4s

Counts

209 → 209

Iterations

Useful iterations: done (1.4s)

Iter	Nodes	Cost
0	297	3215
1	784	2889
2	1989	2839
done	5000	2824

prune1.8s

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 21.6b

regimes290.0ms

Accuracy

83.8% (1.4b remaining)

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

bsearch202.0ms

Steps

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

simplify33.0ms

Iterations

Useful iterations: 1 (29.0ms)

Iter	Nodes	Cost
0	39	98
1	51	76
done	51	76

end0.0ms

sample8.5s

Algorithm

intervals

Results

2.8s	3138×	body	1280	valid
1.4s	1160×	body	10240	exit
917.0ms	1634×	body	640	valid
556.0ms	643×	body	1280	nan
552.0ms	4732×	body	80	valid
513.0ms	5002×	body	80	nan
412.0ms	656×	body	640	nan
332.0ms	827×	body	320	valid
152.0ms	361×	body	320	nan
96.0ms	436×	body	160	valid
36.0ms	199×	body	160	nan