Details

sample358.0ms

Algorithm

intervals

Results

138.0ms	106×	body	1280	valid
45.0ms	49×	body	640	valid
42.0ms	38×	body	10240	exit
24.0ms	144×	body	80	valid
23.0ms	18×	body	1280	nan
22.0ms	168×	body	80	nan
14.0ms	17×	body	640	nan
12.0ms	21×	body	320	valid
6.0ms	16×	body	160	valid
6.0ms	10×	body	320	nan
1.0ms	4×	body	160	nan

simplify1.4s

Counts

1 → 1

Iterations

Iter	Nodes
6	2681
5	735
4	218
3	82
2	34
1	17
0	8

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 29.2b

localize18.0ms

Local error

Found 3 expressions with local error:

0.3b	(pow x (/ 1 n))
0.4b	(pow (+ x 1) (/ 1 n))
2.6b	(- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n)))

rewrite69.0ms

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:

3.0ms	(pow x (/ 1 n))
8.0ms	(pow (+ x 1) (/ 1 n))
57.0ms	(- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n)))

series409.0ms

Counts

3 → 9

Calls

3 calls:

75.0ms	(pow x (/ 1 n))
83.0ms	(pow (+ x 1) (/ 1 n))
251.0ms	(- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n)))

simplify2.5s

Counts

91 → 91

Iterations

Iter	Nodes
3	3490
2	1217
1	467
0	176

prune986.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 20.9b

localize21.0ms

Local error

Found 4 expressions with local error:

0.3b	(pow x (/ 1 n))
0.4b	(pow (+ x 1) (/ 1 n))
0.4b	(pow (+ x 1) (/ 1 n))
3.3b	(- (* (sqrt (pow (+ x 1) (/ 1 n))) (sqrt (pow (+ x 1) (/ 1 n)))) (pow x (/ 1 n)))

rewrite55.0ms

Algorithm

rewrite-expression-head

Rules

39×	`pow-unpow`
32×	`*-un-lft-identity`
30×	`add-sqr-sqrt`
28×	`add-cube-cbrt`
27×	`times-frac`
12×	`unpow-prod-down`
7×	`pow1` `add-exp-log`
6×	`add-log-exp`
4×	`add-cbrt-cube` `insert-posit16` `sqr-pow`
3×	`pow-to-exp` `pow-pow` `pow-exp` `div-inv` `difference-of-squares`
2×	`distribute-lft-out`
1×	`sub-neg` `flip3--` `diff-log` `flip--`

Counts

4 → 102

Calls

4 calls:

3.0ms	(pow x (/ 1 n))
7.0ms	(pow (+ x 1) (/ 1 n))
7.0ms	(pow (+ x 1) (/ 1 n))
38.0ms	(- (* (sqrt (pow (+ x 1) (/ 1 n))) (sqrt (pow (+ x 1) (/ 1 n)))) (pow x (/ 1 n)))

series597.0ms

Counts

4 → 12

Calls

4 calls:

102.0ms	(pow x (/ 1 n))
107.0ms	(pow (+ x 1) (/ 1 n))
120.0ms	(pow (+ x 1) (/ 1 n))
268.0ms	(- (* (sqrt (pow (+ x 1) (/ 1 n))) (sqrt (pow (+ x 1) (/ 1 n)))) (pow x (/ 1 n)))

simplify2.2s

Counts

114 → 114

Iterations

Iter	Nodes
3	3449
2	1179
1	451
0	167

prune1.3s

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 20.9b

localize25.0ms

Local error

Found 4 expressions with local error:

0.4b	(pow (+ 1 x) (/ 1 n))
2.6b	(- (pow (+ 1 x) (/ 1 n)) (pow x (/ 1 n)))
2.6b	(- (pow (+ 1 x) (/ 1 n)) (pow x (/ 1 n)))
2.6b	(- (pow (+ 1 x) (/ 1 n)) (pow x (/ 1 n)))

rewrite268.0ms

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:

6.0ms	(pow (+ 1 x) (/ 1 n))
87.0ms	(- (pow (+ 1 x) (/ 1 n)) (pow x (/ 1 n)))
92.0ms	(- (pow (+ 1 x) (/ 1 n)) (pow x (/ 1 n)))
81.0ms	(- (pow (+ 1 x) (/ 1 n)) (pow x (/ 1 n)))

series929.0ms

Counts

4 → 12

Calls

4 calls:

119.0ms	(pow (+ 1 x) (/ 1 n))
287.0ms	(- (pow (+ 1 x) (/ 1 n)) (pow x (/ 1 n)))
276.0ms	(- (pow (+ 1 x) (/ 1 n)) (pow x (/ 1 n)))
248.0ms	(- (pow (+ 1 x) (/ 1 n)) (pow x (/ 1 n)))

simplify1.3s

Counts

116 → 116

Iterations

Iter	Nodes
3	2308
2	827
1	347
0	136

prune1.4s

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 20.8b

localize45.0ms

Local error

Found 4 expressions with local error:

0.4b	(pow (+ 1 x) (/ 1 n))
2.4b	(- (sqrt (pow (+ 1 x) (/ 1 n))) (sqrt (pow x (/ 1 n))))
2.6b	(- (pow (+ 1 x) (/ 1 n)) (pow x (/ 1 n)))
2.6b	(- (pow (+ 1 x) (/ 1 n)) (pow x (/ 1 n)))

rewrite203.0ms

Algorithm

rewrite-expression-head

Rules

60×	`add-sqr-sqrt`
37×	`*-un-lft-identity`
36×	`unpow-prod-down`
34×	`difference-of-squares`
30×	`sqrt-prod`
21×	`sqr-pow`
13×	`pow-unpow`
12×	`add-cube-cbrt`
10×	`distribute-lft-out--` `add-log-exp`
9×	`times-frac`
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 → 112

Calls

4 calls:

12.0ms	(pow (+ 1 x) (/ 1 n))
51.0ms	(- (sqrt (pow (+ 1 x) (/ 1 n))) (sqrt (pow x (/ 1 n))))
51.0ms	(- (pow (+ 1 x) (/ 1 n)) (pow x (/ 1 n)))
86.0ms	(- (pow (+ 1 x) (/ 1 n)) (pow x (/ 1 n)))

series975.0ms

Counts

4 → 12

Calls

4 calls:

121.0ms	(pow (+ 1 x) (/ 1 n))
334.0ms	(- (sqrt (pow (+ 1 x) (/ 1 n))) (sqrt (pow x (/ 1 n))))
261.0ms	(- (pow (+ 1 x) (/ 1 n)) (pow x (/ 1 n)))
258.0ms	(- (pow (+ 1 x) (/ 1 n)) (pow x (/ 1 n)))

simplify1.8s

Counts

124 → 124

Iterations

Iter	Nodes
3	3482
2	1200
1	489
0	194

prune2.0s

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 20.8b

regimes405.0ms

Accuracy

83.9% (1.4b remaining)

Error of 22.1b against oracle of 20.7b and baseline of 29.4b

bsearch1.0ms

simplify9.0ms

Iterations

Iter	Nodes
2	44
1	44
0	36

end0.0ms

sample10.7s

Algorithm

intervals

Results

3.3s	3183×	body	1280	valid
1.7s	1096×	body	10240	exit
1.3s	1610×	body	640	valid
1.2s	646×	body	1280	nan
745.0ms	4675×	body	80	valid
609.0ms	5034×	body	80	nan
563.0ms	643×	body	640	nan
441.0ms	850×	body	320	valid
176.0ms	361×	body	320	nan
133.0ms	430×	body	160	valid
52.0ms	189×	body	160	nan