Details

sample229.0ms

Algorithm

intervals

Results

81.0ms	117×	body	1280	valid
26.0ms	46×	body	640	valid
17.0ms	36×	body	10240	exit
16.0ms	33×	body	640	nan
16.0ms	25×	body	1280	nan
12.0ms	143×	body	80	valid
12.0ms	175×	body	80	nan
8.0ms	23×	body	320	valid
3.0ms	8×	body	320	nan
3.0ms	14×	body	160	valid
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

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 28.5b

localize17.0ms

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)))

rewrite129.0ms

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:

6.0ms	(pow x (/ 1.0 n))
12.0ms	(pow (+ x 1.0) (/ 1.0 n))
106.0ms	(- (pow (+ x 1.0) (/ 1.0 n)) (pow x (/ 1.0 n)))

series688.0ms

Counts

3 → 9

Calls

3 calls:

75.0ms	(pow x (/ 1.0 n))
207.0ms	(pow (+ x 1.0) (/ 1.0 n))
405.0ms	(- (pow (+ x 1.0) (/ 1.0 n)) (pow x (/ 1.0 n)))

simplify2.4s

Counts

88 → 88

Iterations

Useful iterations: 3 (968.0ms)

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

prune428.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 20.0b

localize21.0ms

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)))

rewrite348.0ms

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:

22.0ms	(pow (+ x 1.0) (/ 1.0 n))
110.0ms	(- (pow (+ x 1.0) (/ 1.0 n)) (pow x (/ 1.0 n)))
99.0ms	(- (pow (+ x 1.0) (/ 1.0 n)) (pow x (/ 1.0 n)))
110.0ms	(- (pow (+ x 1.0) (/ 1.0 n)) (pow x (/ 1.0 n)))

series1.4s

Counts

4 → 12

Calls

4 calls:

235.0ms	(pow (+ x 1.0) (/ 1.0 n))
354.0ms	(- (pow (+ x 1.0) (/ 1.0 n)) (pow x (/ 1.0 n)))
375.0ms	(- (pow (+ x 1.0) (/ 1.0 n)) (pow x (/ 1.0 n)))
393.0ms	(- (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

prune586.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 20.0b

localize26.0ms

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)))

rewrite401.0ms

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:

13.0ms	(pow (+ x 1.0) (/ 1.0 n))
126.0ms	(- (pow (+ x 1.0) (/ 1.0 n)) (pow x (/ 1.0 n)))
142.0ms	(- (pow (+ x 1.0) (/ 1.0 n)) (pow x (/ 1.0 n)))
116.0ms	(- (sqrt (pow (+ x 1.0) (/ 1.0 n))) (pow x (/ (/ 1.0 n) 2)))

series1.8s

Counts

4 → 12

Calls

4 calls:

219.0ms	(pow (+ x 1.0) (/ 1.0 n))
428.0ms	(- (pow (+ x 1.0) (/ 1.0 n)) (pow x (/ 1.0 n)))
498.0ms	(- (pow (+ x 1.0) (/ 1.0 n)) (pow x (/ 1.0 n)))
696.0ms	(- (sqrt (pow (+ x 1.0) (/ 1.0 n))) (pow x (/ (/ 1.0 n) 2)))

simplify2.7s

Counts

113 → 113

Iterations

Useful iterations: 3 (1.2s)

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

prune799.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 20.0b

localize52.0ms

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 (pow (+ x 1.0) 1.0) (/ 1 n))) (pow x (/ (/ 1.0 n) 2)))

rewrite539.0ms

Algorithm

rewrite-expression-head

Rules

60×	`add-sqr-sqrt`
42×	`unpow-prod-down`
36×	`difference-of-squares`
30×	`*-un-lft-identity`
25×	`sqr-pow`
15×	`sqrt-prod`
13×	`pow-unpow`
12×	`add-cube-cbrt`
10×	`add-log-exp`
9×	`times-frac`
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 → 107

Calls

4 calls:

21.0ms	(pow (+ x 1.0) (/ 1.0 n))
117.0ms	(- (pow (+ x 1.0) (/ 1.0 n)) (pow x (/ 1.0 n)))
126.0ms	(- (pow (+ x 1.0) (/ 1.0 n)) (pow x (/ 1.0 n)))
268.0ms	(- (sqrt (pow (pow (+ x 1.0) 1.0) (/ 1 n))) (pow x (/ (/ 1.0 n) 2)))

series1.9s

Counts

4 → 12

Calls

4 calls:

253.0ms	(pow (+ x 1.0) (/ 1.0 n))
433.0ms	(- (pow (+ x 1.0) (/ 1.0 n)) (pow x (/ 1.0 n)))
405.0ms	(- (pow (+ x 1.0) (/ 1.0 n)) (pow x (/ 1.0 n)))
850.0ms	(- (sqrt (pow (pow (+ x 1.0) 1.0) (/ 1 n))) (pow x (/ (/ 1.0 n) 2)))

simplify2.7s

Counts

119 → 119

Iterations

Useful iterations: 3 (1.2s)

Iter	Nodes	Cost
0	257	2931
1	600	2769
2	1494	2643
3	4330	2623
done	5000	2623

prune1.2s

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 20.0b

regimes303.0ms

Accuracy

79% (1.7b remaining)

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

bsearch1.0ms

simplify9.0ms

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	48	208
1	61	208
done	61	208

end0.0ms

sample8.8s

Algorithm

intervals

Results

2.5s	3089×	body	1280	valid
1.3s	1629×	body	640	valid
1.0s	667×	body	1280	nan
912.0ms	1088×	body	10240	exit
620.0ms	4736×	body	80	valid
493.0ms	665×	body	640	nan
469.0ms	4913×	body	80	nan
384.0ms	909×	body	320	valid
120.0ms	360×	body	320	nan
95.0ms	433×	body	160	valid
34.0ms	186×	body	160	nan