Details

sample262.0ms

Algorithm

intervals

Results

97.0ms	91×	body	1280	valid
32.0ms	59×	body	640	valid
25.0ms	49×	body	10240	exit
19.0ms	171×	body	80	valid
17.0ms	21×	body	1280	nan
11.0ms	22×	body	640	nan
9.0ms	153×	body	80	nan
8.0ms	23×	body	320	valid
4.0ms	13×	body	320	nan
3.0ms	13×	body	160	valid
1.0ms	6×	body	160	nan

simplify1.2s

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	238	13
5	1224	13
done	5000	13

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 27.3b

localize14.0ms

Local error

Found 3 expressions with local error:

1.0b	(- (pow (+ x 1.0) (/ 1.0 n)) (pow x (/ 1.0 n)))
1.1b	(pow x (/ 1.0 n))
2.3b	(pow (+ x 1.0) (/ 1.0 n))

rewrite141.0ms

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:

119.0ms	(- (pow (+ x 1.0) (/ 1.0 n)) (pow x (/ 1.0 n)))
5.0ms	(pow x (/ 1.0 n))
14.0ms	(pow (+ x 1.0) (/ 1.0 n))

series607.0ms

Counts

3 → 9

Calls

3 calls:

350.0ms	(- (pow (+ x 1.0) (/ 1.0 n)) (pow x (/ 1.0 n)))
88.0ms	(pow x (/ 1.0 n))
169.0ms	(pow (+ x 1.0) (/ 1.0 n))

simplify1.2s

Counts

88 → 88

Iterations

Useful iterations: done (1.2s)

Iter	Nodes	Cost
0	190	1337
1	546	1246
2	2070	1206
done	5000	1203

prune569.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 20.4b

localize31.0ms

Local error

Found 4 expressions with local error:

1.0b	(pow x (/ (/ 1.0 n) 2))
1.0b	(pow x (/ (/ 1.0 n) 2))
2.3b	(pow (+ x 1.0) (/ (/ 1.0 n) 2))
2.3b	(pow (+ x 1.0) (/ (/ 1.0 n) 2))

rewrite85.0ms

Algorithm

rewrite-expression-head

Rules

264×	`times-frac`
172×	`pow-unpow`
152×	`*-un-lft-identity`
148×	`add-sqr-sqrt` `add-cube-cbrt`
16×	`div-inv`
14×	`unpow-prod-down`
8×	`pow1` `add-exp-log`
4×	`pow-to-exp` `pow-pow` `pow-exp` `add-cbrt-cube` `add-log-exp` `sqr-pow`
2×	`distribute-lft-out`

Counts

4 → 230

Calls

4 calls:

12.0ms	(pow x (/ (/ 1.0 n) 2))
13.0ms	(pow x (/ (/ 1.0 n) 2))
22.0ms	(pow (+ x 1.0) (/ (/ 1.0 n) 2))
22.0ms	(pow (+ x 1.0) (/ (/ 1.0 n) 2))

series577.0ms

Counts

4 → 12

Calls

4 calls:

81.0ms	(pow x (/ (/ 1.0 n) 2))
63.0ms	(pow x (/ (/ 1.0 n) 2))
197.0ms	(pow (+ x 1.0) (/ (/ 1.0 n) 2))
235.0ms	(pow (+ x 1.0) (/ (/ 1.0 n) 2))

simplify2.0s

Counts

242 → 242

Iterations

Useful iterations: done (2.0s)

Iter	Nodes	Cost
0	243	3106
1	820	2812
2	3229	2764
done	5001	2760

prune1.8s

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 20.4b

localize34.0ms

Local error

Found 4 expressions with local error:

1.2b	(- (pow (+ x 1.0) (/ (/ 1.0 n) 2)) (pow (pow x (* (cbrt (/ 1.0 n)) (cbrt (/ 1.0 n)))) (/ (cbrt (/ 1.0 n)) 2)))
1.7b	(pow x (* (cbrt (/ 1.0 n)) (cbrt (/ 1.0 n))))
2.3b	(pow (+ x 1.0) (/ (/ 1.0 n) 2))
2.3b	(pow (+ x 1.0) (/ (/ 1.0 n) 2))

rewrite226.0ms

Algorithm

rewrite-expression-head

Rules

132×	`times-frac`
96×	`add-sqr-sqrt`
87×	`pow-unpow`
83×	`*-un-lft-identity`
77×	`add-cube-cbrt`
28×	`unpow-prod-down`
15×	`difference-of-squares`
14×	`sqr-pow`
8×	`div-inv`
7×	`pow1` `add-exp-log`
6×	`add-log-exp`
4×	`add-cbrt-cube`
3×	`pow-to-exp` `pow-pow` `pow-exp`
2×	`distribute-lft-out`
1×	`sub-neg` `flip3--` `diff-log` `flip--` `distribute-lft-out--`

Counts

4 → 159

Calls

4 calls:

151.0ms	(- (pow (+ x 1.0) (/ (/ 1.0 n) 2)) (pow (pow x (* (cbrt (/ 1.0 n)) (cbrt (/ 1.0 n)))) (/ (cbrt (/ 1.0 n)) 2)))
7.0ms	(pow x (* (cbrt (/ 1.0 n)) (cbrt (/ 1.0 n))))
37.0ms	(pow (+ x 1.0) (/ (/ 1.0 n) 2))
21.0ms	(pow (+ x 1.0) (/ (/ 1.0 n) 2))

series1.3s

Counts

4 → 12

Calls

4 calls:

681.0ms	(- (pow (+ x 1.0) (/ (/ 1.0 n) 2)) (pow (pow x (* (cbrt (/ 1.0 n)) (cbrt (/ 1.0 n)))) (/ (cbrt (/ 1.0 n)) 2)))
305.0ms	(pow x (* (cbrt (/ 1.0 n)) (cbrt (/ 1.0 n))))
164.0ms	(pow (+ x 1.0) (/ (/ 1.0 n) 2))
182.0ms	(pow (+ x 1.0) (/ (/ 1.0 n) 2))

simplify1.9s

Counts

171 → 171

Iterations

Useful iterations: done (1.9s)

Iter	Nodes	Cost
0	278	3574
1	833	3265
2	3343	3173
done	5001	3172

prune1.9s

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 20.4b

localize55.0ms

Local error

Found 4 expressions with local error:

1.0b	(- (pow (+ x 1.0) (/ (/ 1.0 n) 2)) (pow x (/ (/ 1.0 n) 2)))
1.0b	(pow x (/ (/ 1.0 n) 2))
2.3b	(pow (+ x 1.0) (/ (/ 1.0 n) 2))
2.3b	(pow (+ x 1.0) (/ (/ 1.0 n) 2))

rewrite193.0ms

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:

112.0ms	(- (pow (+ x 1.0) (/ (/ 1.0 n) 2)) (pow x (/ (/ 1.0 n) 2)))
10.0ms	(pow x (/ (/ 1.0 n) 2))
21.0ms	(pow (+ x 1.0) (/ (/ 1.0 n) 2))
30.0ms	(pow (+ x 1.0) (/ (/ 1.0 n) 2))

series922.0ms

Counts

4 → 12

Calls

4 calls:

398.0ms	(- (pow (+ x 1.0) (/ (/ 1.0 n) 2)) (pow x (/ (/ 1.0 n) 2)))
92.0ms	(pow x (/ (/ 1.0 n) 2))
242.0ms	(pow (+ x 1.0) (/ (/ 1.0 n) 2))
190.0ms	(pow (+ x 1.0) (/ (/ 1.0 n) 2))

simplify2.3s

Counts

209 → 209

Iterations

Useful iterations: done (2.3s)

Iter	Nodes	Cost
0	297	3215
1	960	2903
2	3785	2845
done	5000	2843

prune1.6s

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 20.4b

regimes427.0ms

Accuracy

81.9% (1.5b remaining)

Error of 22.9b against oracle of 21.4b and baseline of 29.5b

bsearch2.0ms

simplify8.0ms

Iterations

Useful iterations: 1 (5.0ms)

Iter	Nodes	Cost
0	40	147
1	56	102
done	56	102

end0.0ms

sample8.8s

Algorithm

intervals

Results

2.6s	3139×	body	1280	valid
1.2s	5012×	body	80	nan
947.0ms	1602×	body	640	valid
922.0ms	1121×	body	10240	exit
617.0ms	605×	body	1280	nan
605.0ms	4657×	body	80	valid
414.0ms	914×	body	320	valid
362.0ms	644×	body	640	nan
124.0ms	354×	body	320	nan
108.0ms	447×	body	160	valid
36.0ms	177×	body	160	nan