Details

sample364.0ms

Algorithm

intervals

Results

111.0ms	102×	body	1280	valid
68.0ms	42×	body	10240	exit
36.0ms	161×	body	80	nan
32.0ms	41×	body	640	valid
24.0ms	166×	body	80	valid
22.0ms	17×	body	1280	nan
17.0ms	22×	body	640	nan
14.0ms	26×	body	320	valid
10.0ms	18×	body	320	nan
3.0ms	9×	body	160	valid
2.0ms	8×	body	160	nan

simplify1.4s

Counts: 1 → 1

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 26.5b

localize15.0ms

Local error

Found 3 expressions with local error:

0.9b	(- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n)))
0.3b	(pow (+ x 1) (/ 1 n))
0.3b	(pow x (/ 1 n))

rewrite114.0ms

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:

Slowest

94.0ms	(- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n)))
13.0ms	(pow (+ x 1) (/ 1 n))
5.0ms	(pow x (/ 1 n))

series453.0ms

Counts

3 → 9

Calls

3 calls:

Slowest

277.0ms	(- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n)))
102.0ms	(pow (+ x 1) (/ 1 n))
73.0ms	(pow x (/ 1 n))

simplify1.4s

Counts: 91 → 91

prune1.0s

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 17.4b

localize51.0ms

Local error

Found 4 expressions with local error:

0.9b	(- (sqrt (pow (+ x 1) (/ 1 n))) (pow x (/ (/ 1 n) 2)))
0.3b	(pow (+ x 1) (/ 1 n))
0.3b	(pow (+ x 1) (/ 1 n))
0.3b	(pow x (/ (/ 1 n) 2))

rewrite111.0ms

Algorithm

rewrite-expression-head

Rules

84×	`times-frac`
73×	`add-sqr-sqrt`
69×	`pow-unpow`
62×	`*-un-lft-identity`
56×	`add-cube-cbrt`
18×	`unpow-prod-down`
12×	`difference-of-squares`
10×	`sqr-pow`
9×	`sqrt-prod`
7×	`pow1` `add-exp-log`
6×	`div-inv` `add-log-exp`
4×	`add-cbrt-cube` `insert-posit16`
3×	`pow-to-exp` `pow-pow` `pow-exp`
2×	`distribute-lft-out`
1×	`sub-neg` `flip3--` `diff-log` `flip--` `distribute-lft-out--`

Counts

4 → 142

Calls

4 calls:

Slowest

70.0ms	(- (sqrt (pow (+ x 1) (/ 1 n))) (pow x (/ (/ 1 n) 2)))
16.0ms	(pow (+ x 1) (/ 1 n))
13.0ms	(pow (+ x 1) (/ 1 n))
6.0ms	(pow x (/ (/ 1 n) 2))

series810.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

444.0ms	(- (sqrt (pow (+ x 1) (/ 1 n))) (pow x (/ (/ 1 n) 2)))
151.0ms	(pow (+ x 1) (/ 1 n))
122.0ms	(pow (+ x 1) (/ 1 n))
92.0ms	(pow x (/ (/ 1 n) 2))

simplify1.1s

Counts: 154 → 154

prune2.1s

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 17.3b

localize94.0ms

Local error

Found 4 expressions with local error:

1.1b	(pow x (* (cbrt (/ (/ 1 n) 2)) (cbrt (/ (/ 1 n) 2))))
0.9b	(- (sqrt (pow (+ x 1) (/ 1 n))) (pow (pow x (* (cbrt (/ (/ 1 n) 2)) (cbrt (/ (/ 1 n) 2)))) (cbrt (/ (/ 1 n) 2))))
0.6b	(cbrt (/ (/ 1 n) 2))
0.6b	(cbrt (/ (/ 1 n) 2))

rewrite136.0ms

Algorithm

rewrite-expression-head

Rules

132×	`times-frac`
102×	`add-sqr-sqrt`
86×	`cbrt-prod`
77×	`*-un-lft-identity`
75×	`add-cube-cbrt`
24×	`unpow-prod-down`
20×	`difference-of-squares`
15×	`sqrt-prod`
14×	`sqr-pow`
8×	`div-inv`
6×	`add-log-exp`
5×	`pow1` `add-exp-log`
4×	`add-cbrt-cube` `insert-posit16`
2×	`cbrt-div` `pow1/3`
1×	`pow-to-exp` `pow-unpow` `sub-neg` `pow-pow` `flip3--` `diff-log` `pow-exp` `flip--` `distribute-lft-out--`

Counts

4 → 156

Calls

4 calls:

Slowest

117.0ms	(- (sqrt (pow (+ x 1) (/ 1 n))) (pow (pow x (* (cbrt (/ (/ 1 n) 2)) (cbrt (/ (/ 1 n) 2)))) (cbrt (/ (/ 1 n) 2))))
6.0ms	(pow x (* (cbrt (/ (/ 1 n) 2)) (cbrt (/ (/ 1 n) 2))))
4.0ms	(cbrt (/ (/ 1 n) 2))
4.0ms	(cbrt (/ (/ 1 n) 2))

series1.7s

Counts

4 → 12

Calls

4 calls:

Slowest

697.0ms	(- (sqrt (pow (+ x 1) (/ 1 n))) (pow (pow x (* (cbrt (/ (/ 1 n) 2)) (cbrt (/ (/ 1 n) 2)))) (cbrt (/ (/ 1 n) 2))))
359.0ms	(cbrt (/ (/ 1 n) 2))
354.0ms	(cbrt (/ (/ 1 n) 2))
326.0ms	(pow x (* (cbrt (/ (/ 1 n) 2)) (cbrt (/ (/ 1 n) 2))))

simplify857.0ms

Counts: 168 → 168

prune3.4s

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 17.3b

localize67.0ms

Local error

Found 4 expressions with local error:

1.1b	(pow x (* (cbrt (/ (/ 1 n) 2)) (cbrt (/ (/ 1 n) 2))))
1.1b	(pow x (* (cbrt (/ (/ 1 n) 2)) (cbrt (/ (/ 1 n) 2))))
1.1b	(pow x (* (cbrt (/ (/ 1 n) 2)) (cbrt (/ (/ 1 n) 2))))
0.9b	(- (sqrt (pow (+ x 1) (/ 1 n))) (pow (pow x (* (cbrt (/ (/ 1 n) 2)) (cbrt (/ (/ 1 n) 2)))) (cbrt (/ (/ 1 n) 2))))

rewrite61.0ms

Algorithm

rewrite-expression-head

Rules

34×	`add-sqr-sqrt`
30×	`unpow-prod-down`
20×	`difference-of-squares`
16×	`sqr-pow`
15×	`sqrt-prod`
9×	`*-un-lft-identity`
7×	`pow1` `add-exp-log` `add-cube-cbrt`
6×	`add-log-exp`
4×	`add-cbrt-cube` `insert-posit16`
3×	`pow-to-exp` `pow-unpow` `pow-pow` `pow-exp`
1×	`sub-neg` `flip3--` `diff-log` `flip--` `distribute-lft-out--`

Counts

4 → 82

Calls

4 calls:

Slowest

52.0ms	(- (sqrt (pow (+ x 1) (/ 1 n))) (pow (pow x (* (cbrt (/ (/ 1 n) 2)) (cbrt (/ (/ 1 n) 2)))) (cbrt (/ (/ 1 n) 2))))
3.0ms	(pow x (* (cbrt (/ (/ 1 n) 2)) (cbrt (/ (/ 1 n) 2))))
3.0ms	(pow x (* (cbrt (/ (/ 1 n) 2)) (cbrt (/ (/ 1 n) 2))))
2.0ms	(pow x (* (cbrt (/ (/ 1 n) 2)) (cbrt (/ (/ 1 n) 2))))

series1.6s

Counts

4 → 12

Calls

4 calls:

Slowest

675.0ms	(- (sqrt (pow (+ x 1) (/ 1 n))) (pow (pow x (* (cbrt (/ (/ 1 n) 2)) (cbrt (/ (/ 1 n) 2)))) (cbrt (/ (/ 1 n) 2))))
336.0ms	(pow x (* (cbrt (/ (/ 1 n) 2)) (cbrt (/ (/ 1 n) 2))))
319.0ms	(pow x (* (cbrt (/ (/ 1 n) 2)) (cbrt (/ (/ 1 n) 2))))
274.0ms	(pow x (* (cbrt (/ (/ 1 n) 2)) (cbrt (/ (/ 1 n) 2))))

simplify1.4s

Counts: 94 → 94

prune2.1s

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 17.3b

regimes376.0ms

Accuracy

85% (1.3b remaining)

Error of 22.1b against oracle of 20.8b and baseline of 29.5b

bsearch16.0ms

end0.0ms

sample10.9s

Algorithm

intervals

Results

3.5s	3184×	body	1280	valid
1.7s	1138×	body	10240	exit
1.3s	1574×	body	640	valid
750.0ms	4704×	body	80	valid
716.0ms	632×	body	1280	nan
632.0ms	349×	body	320	nan
604.0ms	5065×	body	80	nan
531.0ms	668×	body	640	nan
452.0ms	862×	body	320	valid
141.0ms	446×	body	160	valid
51.0ms	171×	body	160	nan