Details

sample279.0ms

Algorithm

intervals

Results

96.0ms	117×	body	1280	valid
34.0ms	14×	body	160	valid
30.0ms	46×	body	640	valid
19.0ms	36×	body	10240	exit
18.0ms	25×	body	1280	nan
18.0ms	33×	body	640	nan
14.0ms	143×	body	80	valid
12.0ms	175×	body	80	nan
8.0ms	23×	body	320	valid
3.0ms	8×	body	320	nan
1.0ms	6×	body	160	nan

simplify3.3s

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

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 28.5b

localize12.0ms

Local error

Found 3 expressions with local error:

0.3b	(pow x (/ 1.0 n))
0.5b	(pow (+ x 1.0) (/ 1.0 n))
0.5b	(- (pow (+ x 1.0) (/ 1.0 n)) (pow x (/ 1.0 n)))

rewrite112.0ms

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:

4.0ms	(pow x (/ 1.0 n))
11.0ms	(pow (+ x 1.0) (/ 1.0 n))
94.0ms	(- (pow (+ x 1.0) (/ 1.0 n)) (pow x (/ 1.0 n)))

series688.0ms

Counts

3 → 9

Calls

3 calls:

107.0ms	(pow x (/ 1.0 n))
224.0ms	(pow (+ x 1.0) (/ 1.0 n))
357.0ms	(- (pow (+ x 1.0) (/ 1.0 n)) (pow x (/ 1.0 n)))

simplify2.7s

Counts

88 → 88

Iterations

Useful iterations: 3 (1.3s)

Iter	Nodes	Cost
0	190	1337
1	473	1246
2	1191	1206
3	3611	1183
done	5001	1183

prune341.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 20.0b

localize39.0ms

Local error

Found 4 expressions with local error:

0.5b	(pow (+ x 1.0) (/ 1.0 n))
0.5b	(- (pow (+ x 1.0) (/ 1.0 n)) (pow x (/ 1.0 n)))
0.5b	(- (pow (+ x 1.0) (/ 1.0 n)) (pow x (/ 1.0 n)))
0.5b	(- (pow (+ x 1.0) (/ 1.0 n)) (pow x (/ 1.0 n)))

rewrite370.0ms

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:

11.0ms	(pow (+ x 1.0) (/ 1.0 n))
116.0ms	(- (pow (+ x 1.0) (/ 1.0 n)) (pow x (/ 1.0 n)))
146.0ms	(- (pow (+ x 1.0) (/ 1.0 n)) (pow x (/ 1.0 n)))
93.0ms	(- (pow (+ x 1.0) (/ 1.0 n)) (pow x (/ 1.0 n)))

series1.5s

Counts

4 → 12

Calls

4 calls:

269.0ms	(pow (+ x 1.0) (/ 1.0 n))
417.0ms	(- (pow (+ x 1.0) (/ 1.0 n)) (pow x (/ 1.0 n)))
348.0ms	(- (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

112 → 112

Iterations

Useful iterations: done (2.0s)

Iter	Nodes	Cost
0	149	2370
1	358	2257
2	892	2151
3	2475	2130
done	5001	2114

prune688.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 20.0b

localize51.0ms

Local error

Found 4 expressions with local error:

0.5b	(pow (+ x 1.0) (/ 1.0 n))
0.5b	(- (pow (+ x 1.0) (/ 1.0 n)) (pow x (/ 1.0 n)))
0.5b	(- (pow (+ x 1.0) (/ 1.0 n)) (pow x (/ 1.0 n)))
1.0b	(- (sqrt (pow (+ x 1.0) (/ 1.0 n))) (pow x (/ (/ 1.0 n) 2)))

rewrite446.0ms

Algorithm

rewrite-expression-head

Rules

53×	`add-sqr-sqrt`
31×	`unpow-prod-down`
30×	`*-un-lft-identity` `difference-of-squares`
20×	`sqr-pow`
13×	`pow-unpow`
12×	`add-cube-cbrt`
10×	`add-log-exp`
9×	`times-frac` `sqrt-prod`
7×	`distribute-lft-out--`
5×	`pow1` `add-exp-log`
4×	`add-cbrt-cube`
3×	`sub-neg` `flip3--` `diff-log` `flip--` `distribute-lft-out`
1×	`pow-to-exp` `pow-pow` `pow-exp` `div-inv`

Counts

4 → 101

Calls

4 calls:

22.0ms	(pow (+ x 1.0) (/ 1.0 n))
113.0ms	(- (pow (+ x 1.0) (/ 1.0 n)) (pow x (/ 1.0 n)))
146.0ms	(- (pow (+ x 1.0) (/ 1.0 n)) (pow x (/ 1.0 n)))
157.0ms	(- (sqrt (pow (+ x 1.0) (/ 1.0 n))) (pow x (/ (/ 1.0 n) 2)))

series1.8s

Counts

4 → 12

Calls

4 calls:

254.0ms	(pow (+ x 1.0) (/ 1.0 n))
433.0ms	(- (pow (+ x 1.0) (/ 1.0 n)) (pow x (/ 1.0 n)))
415.0ms	(- (pow (+ x 1.0) (/ 1.0 n)) (pow x (/ 1.0 n)))
704.0ms	(- (sqrt (pow (+ x 1.0) (/ 1.0 n))) (pow x (/ (/ 1.0 n) 2)))

simplify2.9s

Counts

113 → 113

Iterations

Useful iterations: 3 (1.4s)

Iter	Nodes	Cost
0	209	2570
1	499	2421
2	1286	2311
3	3889	2291
done	5000	2291

prune786.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 20.0b

localize45.0ms

Local error

Found 4 expressions with local error:

0.5b	(pow (+ x 1.0) (/ 1.0 n))
0.5b	(- (pow (+ x 1.0) (/ 1.0 n)) (pow x (/ 1.0 n)))
1.0b	(- (sqrt (pow (+ x 1.0) (/ 1.0 n))) (pow x (/ (/ 1.0 n) 2)))
1.5b	(- (exp (* 1.0 (/ (log 1.0) n))) (pow x (/ 1.0 n)))

rewrite290.0ms

Algorithm

rewrite-expression-head

Rules

46×	`add-sqr-sqrt`
25×	`*-un-lft-identity`
24×	`difference-of-squares`
22×	`unpow-prod-down`
15×	`sqr-pow`
13×	`pow-unpow`
12×	`add-cube-cbrt`
10×	`add-log-exp`
9×	`times-frac` `sqrt-prod`
5×	`pow1` `add-exp-log` `distribute-lft-out--`
4×	`add-cbrt-cube`
3×	`sub-neg` `flip3--` `diff-log` `flip--`
2×	`distribute-lft-out`
1×	`pow-to-exp` `pow-pow` `pow-exp` `div-inv`

Counts

4 → 93

Calls

4 calls:

22.0ms	(pow (+ x 1.0) (/ 1.0 n))
104.0ms	(- (pow (+ x 1.0) (/ 1.0 n)) (pow x (/ 1.0 n)))
124.0ms	(- (sqrt (pow (+ x 1.0) (/ 1.0 n))) (pow x (/ (/ 1.0 n) 2)))
33.0ms	(- (exp (* 1.0 (/ (log 1.0) n))) (pow x (/ 1.0 n)))

series1.5s

Counts

4 → 12

Calls

4 calls:

209.0ms	(pow (+ x 1.0) (/ 1.0 n))
400.0ms	(- (pow (+ x 1.0) (/ 1.0 n)) (pow x (/ 1.0 n)))
562.0ms	(- (sqrt (pow (+ x 1.0) (/ 1.0 n))) (pow x (/ (/ 1.0 n) 2)))
281.0ms	(- (exp (* 1.0 (/ (log 1.0) n))) (pow x (/ 1.0 n)))

simplify1.3s

Counts

105 → 105

Iterations

Useful iterations: done (1.3s)

Iter	Nodes	Cost
0	284	2484
1	719	2343
2	2173	2227
done	5000	2191

prune1.0s

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 20.0b

regimes332.0ms

Accuracy

78.9% (1.7b remaining)

Error of 23.0b against oracle of 21.3b and baseline of 29.5b

bsearch1.0ms

simplify7.0ms

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	52	200
1	68	200
done	68	200

end0.0ms

sample8.9s

Algorithm

intervals

Results

3.1s	3089×	body	1280	valid
1.1s	1629×	body	640	valid
860.0ms	1088×	body	10240	exit
857.0ms	665×	body	640	nan
608.0ms	667×	body	1280	nan
606.0ms	4736×	body	80	valid
445.0ms	4913×	body	80	nan
376.0ms	909×	body	320	valid
172.0ms	360×	body	320	nan
98.0ms	433×	body	160	valid
36.0ms	186×	body	160	nan