Details

sample353.0ms

Algorithm

intervals

Results

101.0ms	99×	body	1280	valid
61.0ms	37×	body	10240	exit
31.0ms	43×	body	640	valid
31.0ms	30×	body	1280	nan
27.0ms	13×	body	320	nan
23.0ms	140×	body	80	valid
18.0ms	156×	body	80	nan
16.0ms	22×	body	640	nan
16.0ms	29×	body	320	valid
6.0ms	16×	body	160	valid
2.0ms	6×	body	160	nan

simplify1.8s

Counts: 1 → 1

prune11.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 29.5b

localize20.0ms

Local error

Found 3 expressions with local error:

2.0b	(- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n)))
1.5b	(pow (+ x 1) (/ 1 n))
1.0b	(pow x (/ 1 n))

rewrite83.0ms

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

69.0ms	(- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n)))
11.0ms	(pow (+ x 1) (/ 1 n))
3.0ms	(pow x (/ 1 n))

series403.0ms

Counts

3 → 9

Calls

3 calls:

Slowest

218.0ms	(- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n)))
110.0ms	(pow (+ x 1) (/ 1 n))
75.0ms	(pow x (/ 1 n))

simplify1.5s

Counts: 91 → 91

prune1.0s

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 21.3b

localize30.0ms

Local error

Found 4 expressions with local error:

4.4b	(- (* (sqrt (pow (+ x 1) (/ 1 n))) (sqrt (pow (+ x 1) (/ 1 n)))) (pow x (/ 1 n)))
1.5b	(pow (+ x 1) (/ 1 n))
1.5b	(pow (+ x 1) (/ 1 n))
1.0b	(pow x (/ 1 n))

rewrite49.0ms

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:

Slowest

27.0ms	(- (* (sqrt (pow (+ x 1) (/ 1 n))) (sqrt (pow (+ x 1) (/ 1 n)))) (pow x (/ 1 n)))
7.0ms	(pow (+ x 1) (/ 1 n))
7.0ms	(pow (+ x 1) (/ 1 n))
5.0ms	(pow x (/ 1 n))

series577.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

239.0ms	(- (* (sqrt (pow (+ x 1) (/ 1 n))) (sqrt (pow (+ x 1) (/ 1 n)))) (pow x (/ 1 n)))
140.0ms	(pow (+ x 1) (/ 1 n))
123.0ms	(pow (+ x 1) (/ 1 n))
76.0ms	(pow x (/ 1 n))

simplify1.8s

Counts: 114 → 114

prune1.5s

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 21.2b

localize77.0ms

Local error

Found 4 expressions with local error:

2.2b	(- (pow (+ 1 x) (/ 1 n)) (exp (/ (log x) n)))
2.2b	(- (pow (+ 1 x) (/ 1 n)) (exp (/ (log x) n)))
2.2b	(- (pow (+ 1 x) (/ 1 n)) (exp (/ (log x) n)))
1.5b	(pow (+ 1 x) (/ 1 n))

rewrite214.0ms

Algorithm

rewrite-expression-head

Rules

27×	`add-sqr-sqrt`
20×	`*-un-lft-identity`
13×	`pow-unpow`
12×	`add-cube-cbrt`
10×	`add-log-exp`
9×	`times-frac` `difference-of-squares`
7×	`unpow-prod-down`
5×	`pow1` `add-exp-log`
4×	`add-cbrt-cube` `insert-posit16` `sqr-pow`
3×	`sub-neg` `flip3--` `diff-log` `flip--` `distribute-lft-out--`
1×	`pow-to-exp` `pow-pow` `pow-exp` `div-inv` `distribute-lft-out`

Counts

4 → 80

Calls

4 calls:

Slowest

77.0ms	(- (pow (+ 1 x) (/ 1 n)) (exp (/ (log x) n)))
64.0ms	(- (pow (+ 1 x) (/ 1 n)) (exp (/ (log x) n)))
63.0ms	(- (pow (+ 1 x) (/ 1 n)) (exp (/ (log x) n)))
7.0ms	(pow (+ 1 x) (/ 1 n))

series776.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

252.0ms	(- (pow (+ 1 x) (/ 1 n)) (exp (/ (log x) n)))
218.0ms	(- (pow (+ 1 x) (/ 1 n)) (exp (/ (log x) n)))
193.0ms	(- (pow (+ 1 x) (/ 1 n)) (exp (/ (log x) n)))
113.0ms	(pow (+ 1 x) (/ 1 n))

simplify709.0ms

Counts: 92 → 92

prune1.5s

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 21.2b

localize104.0ms

Local error

Found 4 expressions with local error:

2.2b	(- (sqrt (pow (+ 1 x) (/ 1 n))) (sqrt (exp (/ (log x) n))))
2.2b	(- (pow (+ 1 x) (/ 1 n)) (exp (/ (log x) n)))
2.2b	(- (pow (+ 1 x) (/ 1 n)) (exp (/ (log x) n)))
1.5b	(pow (+ 1 x) (/ 1 n))

rewrite213.0ms

Algorithm

rewrite-expression-head

Rules

36×	`add-sqr-sqrt`
22×	`*-un-lft-identity`
14×	`difference-of-squares`
13×	`pow-unpow`
12×	`add-cube-cbrt` `sqrt-prod`
10×	`add-log-exp`
9×	`times-frac`
8×	`unpow-prod-down`
5×	`pow1` `add-exp-log` `sqr-pow`
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` `distribute-lft-out`

Counts

4 → 86

Calls

4 calls:

Slowest

71.0ms	(- (sqrt (pow (+ 1 x) (/ 1 n))) (sqrt (exp (/ (log x) n))))
71.0ms	(- (pow (+ 1 x) (/ 1 n)) (exp (/ (log x) n)))
63.0ms	(- (pow (+ 1 x) (/ 1 n)) (exp (/ (log x) n)))
6.0ms	(pow (+ 1 x) (/ 1 n))

series924.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

304.0ms	(- (sqrt (pow (+ 1 x) (/ 1 n))) (sqrt (exp (/ (log x) n))))
276.0ms	(- (pow (+ 1 x) (/ 1 n)) (exp (/ (log x) n)))
239.0ms	(- (pow (+ 1 x) (/ 1 n)) (exp (/ (log x) n)))
105.0ms	(pow (+ 1 x) (/ 1 n))

simplify1.4s

Counts: 98 → 98

prune1.9s

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 21.2b

regimes387.0ms

Accuracy

84.7% (1.3b remaining)

Error of 22.7b against oracle of 21.4b and baseline of 29.8b

bsearch15.0ms

end0.0ms

sample10.9s

Algorithm

intervals

Results

4.2s	3181×	body	1280	valid
1.4s	1152×	body	10240	exit
1.3s	1561×	body	640	valid
739.0ms	630×	body	1280	nan
735.0ms	4713×	body	80	valid
664.0ms	5013×	body	80	nan
580.0ms	677×	body	640	nan
498.0ms	869×	body	320	valid
185.0ms	388×	body	320	nan
144.0ms	455×	body	160	valid
55.0ms	176×	body	160	nan