Details

sample252.0ms

Algorithm

intervals

Results

85.0ms	99×	body	1280	valid
33.0ms	49×	body	640	valid
32.0ms	146×	body	80	valid
20.0ms	21×	body	1280	nan
16.0ms	171×	body	80	nan
15.0ms	21×	body	10240	exit
14.0ms	21×	body	640	nan
9.0ms	22×	body	320	valid
4.0ms	12×	body	320	nan
4.0ms	16×	body	160	valid
3.0ms	12×	body	160	nan

simplify1.4s

Counts

1 → 1

Iterations

Iter	Nodes
done	2068
6	2068
5	1169
4	263
3	84
2	36
1	19
0	8

prune12.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 27.3b

localize30.0ms

Local error

Found 3 expressions with local error:

0.5b	(pow x (/ 1 n))
1.0b	(pow (+ x 1) (/ 1 n))
1.7b	(- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n)))

rewrite74.0ms

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))
7.0ms	(pow (+ x 1) (/ 1 n))
63.0ms	(- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n)))

series450.0ms

Counts

3 → 9

Calls

3 calls:

75.0ms	(pow x (/ 1 n))
128.0ms	(pow (+ x 1) (/ 1 n))
246.0ms	(- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n)))

simplify1.0s

Counts

91 → 91

Iterations

Iter	Nodes
done	2003
3	2003
2	1224
1	473
0	176

prune950.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 18.4b

localize26.0ms

Local error

Found 4 expressions with local error:

1.0b	(pow (+ x 1) (/ 1 n))
1.7b	(- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n)))
1.7b	(- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n)))
1.7b	(- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n)))

rewrite227.0ms

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))
61.0ms	(- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n)))
67.0ms	(- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n)))
82.0ms	(- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n)))

series910.0ms

Counts

4 → 12

Calls

4 calls:

115.0ms	(pow (+ x 1) (/ 1 n))
255.0ms	(- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n)))
274.0ms	(- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n)))
264.0ms	(- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n)))

simplify1.0s

Counts

116 → 116

Iterations

Iter	Nodes
done	2006
3	2006
2	827
1	348
0	136

prune1.4s

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 18.4b

localize79.0ms

Local error

Found 4 expressions with local error:

1.0b	(pow (+ x 1) (/ 1 n))
1.7b	(- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n)))
1.7b	(- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n)))
2.0b	(- (sqrt (pow (+ x 1) (/ 1 n))) (pow x (/ (/ 1 n) 2)))

rewrite230.0ms

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

Counts

4 → 105

Calls

4 calls:

10.0ms	(pow (+ x 1) (/ 1 n))
56.0ms	(- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n)))
94.0ms	(- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n)))
68.0ms	(- (sqrt (pow (+ x 1) (/ 1 n))) (pow x (/ (/ 1 n) 2)))

series942.0ms

Counts

4 → 12

Calls

4 calls:

119.0ms	(pow (+ x 1) (/ 1 n))
265.0ms	(- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n)))
242.0ms	(- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n)))
316.0ms	(- (sqrt (pow (+ x 1) (/ 1 n))) (pow x (/ (/ 1 n) 2)))

simplify1.2s

Counts

117 → 117

Iterations

Iter	Nodes
done	2002
3	2002
2	1334
1	504
0	196

prune2.0s

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 18.4b

localize46.0ms

Local error

Found 4 expressions with local error:

0.1b	(exp (log (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n)))))
0.5b	(pow x (/ 1 n))
1.0b	(pow (+ x 1) (/ 1 n))
1.7b	(- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n)))

rewrite111.0ms

Algorithm

rewrite-expression-head

Rules

46×	`add-sqr-sqrt`
38×	`*-un-lft-identity`
27×	`unpow-prod-down`
26×	`pow-unpow`
22×	`add-cube-cbrt`
18×	`times-frac` `difference-of-squares`
15×	`log-prod` `exp-sum`
14×	`sqr-pow`
7×	`pow1`
6×	`add-exp-log` `distribute-lft-out--` `add-log-exp`
4×	`exp-prod` `add-cbrt-cube` `insert-posit16`
3×	`distribute-lft-out`
2×	`pow-to-exp` `log-div` `pow-pow` `flip3--` `exp-diff` `pow-exp` `div-inv` `flip--`
1×	`sub-neg` `diff-log` `log-pow` `rem-exp-log`

Counts

4 → 112

Calls

4 calls:

46.0ms	(exp (log (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n)))))
3.0ms	(pow x (/ 1 n))
8.0ms	(pow (+ x 1) (/ 1 n))
50.0ms	(- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n)))

series714.0ms

Counts

4 → 12

Calls

4 calls:

227.0ms	(exp (log (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n)))))
75.0ms	(pow x (/ 1 n))
131.0ms	(pow (+ x 1) (/ 1 n))
281.0ms	(- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n)))

simplify1.2s

Counts

124 → 124

Iterations

Iter	Nodes
done	2001
3	2001
2	1361
1	556
0	245

prune1.5s

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 18.4b

regimes429.0ms

Accuracy

82.3% (1.5b remaining)

Error of 22.4b against oracle of 20.8b and baseline of 29.5b

bsearch1.0ms

simplify7.0ms

Iterations

Iter	Nodes
done	40
1	40
0	30

end0.0ms

sample10.8s

Algorithm

intervals

Results

3.4s	3153×	body	1280	valid
1.4s	1164×	body	10240	exit
1.2s	1569×	body	640	valid
1.2s	659×	body	1280	nan
978.0ms	5168×	body	80	nan
811.0ms	4795×	body	80	valid
563.0ms	675×	body	640	nan
444.0ms	869×	body	320	valid
163.0ms	347×	body	320	nan
135.0ms	436×	body	160	valid
52.0ms	180×	body	160	nan