Details

sample370.0ms

Algorithm

intervals

Results

148.0ms	120×	body	1280	valid
42.0ms	49×	body	640	valid
32.0ms	36×	body	10240	exit
27.0ms	20×	body	1280	nan
23.0ms	23×	body	640	nan
21.0ms	145×	body	80	valid
18.0ms	162×	body	80	nan
14.0ms	29×	body	320	valid
11.0ms	19×	body	320	nan
7.0ms	20×	body	160	valid
3.0ms	10×	body	160	nan

simplify762.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	2005
5	1169
4	263
3	84
2	36
1	19
0	8

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 27.5b

localize29.0ms

Local error

Found 3 expressions with local error:

0.2b	(pow x (/ 1 n))
0.7b	(pow (+ x 1) (/ 1 n))
3.2b	(- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n)))

rewrite116.0ms

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` `insert-posit16` `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 → 82

Calls

3 calls:

5.0ms	(pow x (/ 1 n))
16.0ms	(pow (+ x 1) (/ 1 n))
91.0ms	(- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n)))

series412.0ms

Counts

3 → 9

Calls

3 calls:

85.0ms	(pow x (/ 1 n))
95.0ms	(pow (+ x 1) (/ 1 n))
231.0ms	(- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n)))

simplify751.0ms

Counts

91 → 91

Iterations

Iter	Nodes
done	2003
2	1224
1	473
0	176

prune397.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 21.1b

localize51.0ms

Local error

Found 4 expressions with local error:

0.7b	(pow (+ x 1) (/ 1 n))
3.2b	(- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n)))
3.2b	(- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n)))
3.2b	(- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n)))

rewrite226.0ms

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` `insert-posit16` `distribute-lft-out`
3×	`sub-neg` `flip3--` `diff-log` `flip--`
1×	`pow-to-exp` `pow-pow` `pow-exp` `div-inv`

Counts

4 → 104

Calls

4 calls:

15.0ms	(pow (+ x 1) (/ 1 n))
58.0ms	(- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n)))
79.0ms	(- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n)))
72.0ms	(- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n)))

series821.0ms

Counts

4 → 12

Calls

4 calls:

84.0ms	(pow (+ x 1) (/ 1 n))
211.0ms	(- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n)))
259.0ms	(- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n)))
267.0ms	(- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n)))

simplify646.0ms

Counts

116 → 116

Iterations

Iter	Nodes
done	2006
2	827
1	348
0	136

prune678.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 21.1b

localize61.0ms

Local error

Found 4 expressions with local error:

3.2b	(- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n)))
3.2b	(- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n)))
3.2b	(- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n)))
3.2b	(- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n)))

rewrite281.0ms

Algorithm

rewrite-expression-head

Rules

52×	`add-sqr-sqrt`
40×	`unpow-prod-down`
36×	`difference-of-squares`
32×	`*-un-lft-identity`
24×	`sqr-pow`
12×	`distribute-lft-out--` `add-log-exp`
4×	`pow1` `sub-neg` `flip3--` `add-cbrt-cube` `diff-log` `add-exp-log` `add-cube-cbrt` `insert-posit16` `flip--` `distribute-lft-out`

Counts

4 → 100

Calls

4 calls:

75.0ms	(- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n)))
70.0ms	(- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n)))
67.0ms	(- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n)))
65.0ms	(- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n)))

series1.0s

Counts

4 → 12

Calls

4 calls:

238.0ms	(- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n)))
244.0ms	(- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n)))
289.0ms	(- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n)))
232.0ms	(- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n)))

simplify830.0ms

Counts

112 → 112

Iterations

Iter	Nodes
done	2001
3	1332
2	451
1	191
0	86

prune1.0s

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 21.1b

localize75.0ms

Local error

Found 4 expressions with local error:

3.2b	(- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n)))
3.2b	(- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n)))
3.2b	(- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n)))
3.2b	(log (exp (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n)))))

rewrite347.0ms

Algorithm

rewrite-expression-head

Rules

54×	`add-sqr-sqrt`
40×	`unpow-prod-down`
36×	`difference-of-squares`
34×	`*-un-lft-identity`
24×	`sqr-pow`
16×	`log-pow`
15×	`exp-prod`
12×	`distribute-lft-out--`
10×	`add-log-exp`
6×	`add-cube-cbrt`
5×	`pow1` `log-prod`
4×	`sub-neg` `add-cbrt-cube` `add-exp-log` `insert-posit16` `distribute-lft-out`
3×	`flip3--` `diff-log` `flip--`
2×	`exp-sum`
1×	`log-div` `exp-diff` `rem-log-exp`

Counts

4 → 106

Calls

4 calls:

87.0ms	(- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n)))
67.0ms	(- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n)))
62.0ms	(- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n)))
129.0ms	(log (exp (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n)))))

series1.1s

Counts

4 → 12

Calls

4 calls:

254.0ms	(- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n)))
277.0ms	(- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n)))
287.0ms	(- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n)))
261.0ms	(log (exp (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n)))))

simplify980.0ms

Counts

118 → 118

Iterations

Iter	Nodes
done	2002
3	1529
2	579
1	271
0	133

prune1.1s

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 21.0b

regimes499.0ms

Accuracy

85.5% (1.2b remaining)

Error of 22.2b against oracle of 21.0b and baseline of 29.5b

bsearch2.0ms

simplify12.0ms

Iterations

Iter	Nodes
done	54
1	54
0	39

end0.0ms

sample10.7s

Algorithm

intervals

Results

3.6s	3224×	body	1280	valid
1.3s	1598×	body	640	valid
1.3s	1175×	body	10240	exit
1.2s	666×	body	1280	nan
800.0ms	4703×	body	80	valid
648.0ms	5182×	body	80	nan
574.0ms	651×	body	640	nan
427.0ms	849×	body	320	valid
234.0ms	396×	body	320	nan
135.0ms	448×	body	160	valid
50.0ms	186×	body	160	nan