Details

sample196.0ms

Algorithm

intervals

Results

65.0ms	103×	body	1280	valid
22.0ms	44×	body	640	valid
19.0ms	40×	body	10240	exit
15.0ms	18×	body	640	nan
11.0ms	174×	body	80	nan
11.0ms	34×	body	320	valid
10.0ms	137×	body	80	valid
10.0ms	18×	body	1280	nan
3.0ms	13×	body	320	nan
2.0ms	11×	body	160	valid
2.0ms	8×	body	160	nan

simplify3.6s

Counts

1 → 1

Iterations

Iter	Nodes
done	5000
6	3086
5	673
4	238
3	86
2	35
1	17
0	8

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 26.5b

localize20.0ms

Local error

Found 3 expressions with local error:

0.7b	(pow x (/ 1.0 n))
1.4b	(pow (+ x 1.0) (/ 1.0 n))
3.6b	(- (pow (+ x 1.0) (/ 1.0 n)) (pow x (/ 1.0 n)))

rewrite148.0ms

Algorithm

rewrite-expression-head

Rules

76×	`*-un-lft-identity`
73×	`unpow-prod-down`
63×	`add-sqr-sqrt`
56×	`prod-diff`
51×	`add-cube-cbrt`
26×	`pow-unpow`
24×	`sqr-pow`
18×	`times-frac`
10×	`distribute-lft-out`
9×	`difference-of-squares`
8×	`fma-neg`
5×	`pow1` `add-exp-log` `add-log-exp`
3×	`expm1-log1p-u` `add-cbrt-cube` `log1p-expm1-u` `distribute-lft-out--`
2×	`pow-to-exp` `pow-pow` `pow-exp` `div-inv`
1×	`sub-neg` `flip3--` `diff-log` `flip--`

Counts

3 → 149

Calls

3 calls:

6.0ms	(pow x (/ 1.0 n))
20.0ms	(pow (+ x 1.0) (/ 1.0 n))
114.0ms	(- (pow (+ x 1.0) (/ 1.0 n)) (pow x (/ 1.0 n)))

series691.0ms

Counts

3 → 9

Calls

3 calls:

104.0ms	(pow x (/ 1.0 n))
185.0ms	(pow (+ x 1.0) (/ 1.0 n))
401.0ms	(- (pow (+ x 1.0) (/ 1.0 n)) (pow x (/ 1.0 n)))

simplify1.7s

Counts

158 → 158

Iterations

Iter	Nodes
done	5000
2	1895
1	711
0	270

prune926.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 19.3b

localize79.0ms

Local error

Found 4 expressions with local error:

1.4b	(pow (+ x 1.0) (/ 1.0 n))
3.6b	(- (pow (+ x 1.0) (/ 1.0 n)) (pow x (/ 1.0 n)))
3.6b	(- (pow (+ x 1.0) (/ 1.0 n)) (pow x (/ 1.0 n)))
3.6b	(- (pow (+ x 1.0) (/ 1.0 n)) (pow x (/ 1.0 n)))

rewrite416.0ms

Algorithm

rewrite-expression-head

Rules

202×	`unpow-prod-down`
179×	`*-un-lft-identity`
168×	`prod-diff`
144×	`add-sqr-sqrt`
108×	`add-cube-cbrt`
67×	`sqr-pow`
28×	`distribute-lft-out`
27×	`difference-of-squares`
24×	`fma-neg`
13×	`pow-unpow`
10×	`add-log-exp`
9×	`times-frac` `distribute-lft-out--`
5×	`pow1` `add-exp-log`
4×	`expm1-log1p-u` `add-cbrt-cube` `log1p-expm1-u`
3×	`sub-neg` `flip3--` `diff-log` `flip--`
1×	`pow-to-exp` `pow-pow` `pow-exp` `div-inv`

Counts

4 → 300

Calls

4 calls:

17.0ms	(pow (+ x 1.0) (/ 1.0 n))
117.0ms	(- (pow (+ x 1.0) (/ 1.0 n)) (pow x (/ 1.0 n)))
120.0ms	(- (pow (+ x 1.0) (/ 1.0 n)) (pow x (/ 1.0 n)))
135.0ms	(- (pow (+ x 1.0) (/ 1.0 n)) (pow x (/ 1.0 n)))

series1.4s

Counts

4 → 12

Calls

4 calls:

246.0ms	(pow (+ x 1.0) (/ 1.0 n))
393.0ms	(- (pow (+ x 1.0) (/ 1.0 n)) (pow x (/ 1.0 n)))
379.0ms	(- (pow (+ x 1.0) (/ 1.0 n)) (pow x (/ 1.0 n)))
393.0ms	(- (pow (+ x 1.0) (/ 1.0 n)) (pow x (/ 1.0 n)))

simplify3.5s

Counts

312 → 312

Iterations

Iter	Nodes
done	5000
3	4912
2	1523
1	593
0	233

prune1.6s

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 19.3b

localize115.0ms

Local error

Found 4 expressions with local error:

3.6b	(- (pow (+ x 1.0) (/ 1.0 n)) (pow x (/ 1.0 n)))
3.6b	(- (pow (+ x 1.0) (/ 1.0 n)) (pow x (/ 1.0 n)))
3.6b	(- (pow (+ x 1.0) (/ 1.0 n)) (pow x (/ 1.0 n)))
3.6b	(- (pow (+ x 1.0) (/ 1.0 n)) (pow x (/ 1.0 n)))

rewrite484.0ms

Algorithm

rewrite-expression-head

Rules

264×	`unpow-prod-down`
224×	`*-un-lft-identity` `prod-diff`
180×	`add-sqr-sqrt`
132×	`add-cube-cbrt`
88×	`sqr-pow`
36×	`distribute-lft-out` `difference-of-squares`
32×	`fma-neg`
12×	`distribute-lft-out--` `add-log-exp`
4×	`expm1-log1p-u` `pow1` `sub-neg` `flip3--` `add-cbrt-cube` `diff-log` `add-exp-log` `log1p-expm1-u` `flip--`

Counts

4 → 360

Calls

4 calls:

115.0ms	(- (pow (+ x 1.0) (/ 1.0 n)) (pow x (/ 1.0 n)))
108.0ms	(- (pow (+ x 1.0) (/ 1.0 n)) (pow x (/ 1.0 n)))
117.0ms	(- (pow (+ x 1.0) (/ 1.0 n)) (pow x (/ 1.0 n)))
107.0ms	(- (pow (+ x 1.0) (/ 1.0 n)) (pow x (/ 1.0 n)))

series1.7s

Counts

4 → 12

Calls

4 calls:

435.0ms	(- (pow (+ x 1.0) (/ 1.0 n)) (pow x (/ 1.0 n)))
410.0ms	(- (pow (+ x 1.0) (/ 1.0 n)) (pow x (/ 1.0 n)))
437.0ms	(- (pow (+ x 1.0) (/ 1.0 n)) (pow x (/ 1.0 n)))
406.0ms	(- (pow (+ x 1.0) (/ 1.0 n)) (pow x (/ 1.0 n)))

simplify3.0s

Counts

372 → 372

Iterations

Iter	Nodes
done	5013
3	3445
2	1028
1	420
0	185

prune3.5s

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 19.3b

localize570.0ms

Local error

Found 4 expressions with local error:

3.6b	(- (pow (+ x 1.0) (/ 1.0 n)) (pow x (/ 1.0 n)))
3.6b	(- (pow (+ x 1.0) (/ 1.0 n)) (pow x (/ 1.0 n)))
3.6b	(- (pow (+ x 1.0) (/ 1.0 n)) (pow x (/ 1.0 n)))
4.4b	(- (sqrt (pow (+ x 1.0) (/ 1.0 n))) (pow x (/ (/ 1.0 n) 2)))

rewrite482.0ms

Algorithm

rewrite-expression-head

Rules

270×	`unpow-prod-down`
245×	`prod-diff`
233×	`*-un-lft-identity`
199×	`add-sqr-sqrt`
146×	`add-cube-cbrt`
92×	`sqr-pow`
73×	`sqrt-prod`
39×	`difference-of-squares`
35×	`fma-neg` `distribute-lft-out`
12×	`add-log-exp`
10×	`distribute-lft-out--`
4×	`expm1-log1p-u` `pow1` `sub-neg` `flip3--` `add-cbrt-cube` `diff-log` `add-exp-log` `log1p-expm1-u` `flip--`

Counts

4 → 385

Calls

4 calls:

118.0ms	(- (pow (+ x 1.0) (/ 1.0 n)) (pow x (/ 1.0 n)))
105.0ms	(- (pow (+ x 1.0) (/ 1.0 n)) (pow x (/ 1.0 n)))
92.0ms	(- (pow (+ x 1.0) (/ 1.0 n)) (pow x (/ 1.0 n)))
127.0ms	(- (sqrt (pow (+ x 1.0) (/ 1.0 n))) (pow x (/ (/ 1.0 n) 2)))

series1.9s

Counts

4 → 12

Calls

4 calls:

427.0ms	(- (pow (+ x 1.0) (/ 1.0 n)) (pow x (/ 1.0 n)))
430.0ms	(- (pow (+ x 1.0) (/ 1.0 n)) (pow x (/ 1.0 n)))
427.0ms	(- (pow (+ x 1.0) (/ 1.0 n)) (pow x (/ 1.0 n)))
629.0ms	(- (sqrt (pow (+ x 1.0) (/ 1.0 n))) (pow x (/ (/ 1.0 n) 2)))

simplify1.9s

Counts

397 → 397

Iterations

Iter	Nodes
done	5002
2	1885
1	787
0	347

prune4.2s

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 19.3b

regimes256.0ms

Accuracy

85.7% (1.2b remaining)

Error of 22.3b against oracle of 21.0b and baseline of 29.5b

bsearch1.0ms

simplify57.0ms

Iterations

Iter	Nodes
done	90
2	90
1	88
0	61

end0.0ms

sample8.4s

Algorithm

intervals

Results

3.0s	3152×	body	1280	valid
973.0ms	1162×	body	10240	exit
948.0ms	637×	body	1280	nan
882.0ms	1605×	body	640	valid
514.0ms	4648×	body	80	valid
441.0ms	4956×	body	80	nan
402.0ms	632×	body	640	nan
371.0ms	848×	body	320	valid
155.0ms	491×	body	160	valid
100.0ms	313×	body	320	nan
77.0ms	199×	body	160	nan