Details

sample294.0ms

Algorithm

intervals

Results

97.0ms	99×	body	1280	valid
42.0ms	146×	body	80	valid
35.0ms	49×	body	640	valid
25.0ms	21×	body	1280	nan
18.0ms	171×	body	80	nan
16.0ms	21×	body	640	nan
16.0ms	21×	body	10240	exit
10.0ms	22×	body	320	valid
5.0ms	16×	body	160	valid
4.0ms	12×	body	320	nan
3.0ms	12×	body	160	nan

simplify1.5s

Counts

1 → 1

Iterations

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

prune11.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 27.3b

localize29.0ms

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)))

rewrite68.0ms

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))
58.0ms	(- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n)))

series486.0ms

Counts

3 → 9

Calls

3 calls:

75.0ms	(pow x (/ 1 n))
130.0ms	(pow (+ x 1) (/ 1 n))
281.0ms	(- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n)))

simplify2.7s

Counts

91 → 91

Iterations

Iter	Nodes
3	3490
2	1217
1	467
0	176

prune955.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 18.1b

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)))

rewrite153.0ms

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:

7.0ms	(pow (+ x 1) (/ 1 n))
48.0ms	(- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n)))
47.0ms	(- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n)))
50.0ms	(- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n)))

series829.0ms

Counts

4 → 12

Calls

4 calls:

113.0ms	(pow (+ x 1) (/ 1 n))
225.0ms	(- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n)))
228.0ms	(- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n)))
263.0ms	(- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n)))

simplify1.3s

Counts

116 → 116

Iterations

Iter	Nodes
3	2322
2	831
1	347
0	136

prune1.5s

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 18.1b

localize74.0ms

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)))

rewrite278.0ms

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:

14.0ms	(pow (+ x 1) (/ 1 n))
94.0ms	(- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n)))
81.0ms	(- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n)))
86.0ms	(- (sqrt (pow (+ x 1) (/ 1 n))) (pow x (/ (/ 1 n) 2)))

series1.1s

Counts

4 → 12

Calls

4 calls:

111.0ms	(pow (+ x 1) (/ 1 n))
263.0ms	(- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n)))
272.0ms	(- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n)))
426.0ms	(- (sqrt (pow (+ x 1) (/ 1 n))) (pow x (/ (/ 1 n) 2)))

simplify1.9s

Counts

117 → 117

Iterations

Iter	Nodes
3	3466
2	1222
1	500
0	196

prune2.1s

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 18.1b

localize25.0ms

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)))

rewrite119.0ms

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:

28.0ms	(exp (log (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n)))))
5.0ms	(pow x (/ 1 n))
10.0ms	(pow (+ x 1) (/ 1 n))
74.0ms	(- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n)))

series665.0ms

Counts

4 → 12

Calls

4 calls:

223.0ms	(exp (log (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n)))))
66.0ms	(pow x (/ 1 n))
117.0ms	(pow (+ x 1) (/ 1 n))
259.0ms	(- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n)))

simplify2.6s

Counts

124 → 124

Iterations

Iter	Nodes
3	3654
2	1331
1	548
0	245

prune1.7s

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 18.1b

regimes500.0ms

Accuracy

83.1% (1.5b remaining)

Error of 22.0b against oracle of 20.5b and baseline of 29.5b

bsearch2.0ms

simplify13.0ms

Iterations

Iter	Nodes
2	37
1	37
0	30

end0.0ms

sample10.5s

Algorithm

intervals

Results

3.4s	3153×	body	1280	valid
1.8s	1164×	body	10240	exit
1.3s	1569×	body	640	valid
822.0ms	4795×	body	80	valid
770.0ms	659×	body	1280	nan
595.0ms	5168×	body	80	nan
545.0ms	675×	body	640	nan
464.0ms	869×	body	320	valid
172.0ms	347×	body	320	nan
133.0ms	436×	body	160	valid
48.0ms	180×	body	160	nan