Details

sample279.0ms

Algorithm

intervals

Results

120.0ms	97×	body	1280	valid
25.0ms	44×	body	640	valid
22.0ms	39×	body	10240	exit
20.0ms	18×	body	1280	nan
17.0ms	168×	body	80	valid
15.0ms	37×	body	320	valid
11.0ms	146×	body	80	nan
8.0ms	14×	body	640	nan
5.0ms	14×	body	320	nan
3.0ms	15×	body	160	valid
0.0ms	2×	body	160	nan

simplify2.5s

Counts: 1 → 1

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 26.8b

localize20.0ms

Local error

Found 3 expressions with local error:

1.0b	(pow x (/ 1.0 n))
1.2b	(- (pow (+ x 1.0) (/ 1.0 n)) (pow x (/ 1.0 n)))
1.2b	(pow (+ x 1.0) (/ 1.0 n))

rewrite153.0ms

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` `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 → 79

Calls

3 calls:

4.0ms	(pow x (/ 1.0 n))
126.0ms	(- (pow (+ x 1.0) (/ 1.0 n)) (pow x (/ 1.0 n)))
19.0ms	(pow (+ x 1.0) (/ 1.0 n))

series700.0ms

Counts

3 → 9

Calls

3 calls:

88.0ms	(pow x (/ 1.0 n))
371.0ms	(- (pow (+ x 1.0) (/ 1.0 n)) (pow x (/ 1.0 n)))
240.0ms	(pow (+ x 1.0) (/ 1.0 n))

simplify649.0ms

Counts: 88 → 88

prune351.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 19.2b

localize23.0ms

Local error

Found 4 expressions with local error:

1.2b	(- (pow (+ x 1.0) (/ 1.0 n)) (pow x (/ 1.0 n)))
1.2b	(pow (+ x 1.0) (/ 1.0 n))
1.2b	(pow (+ x 1.0) (/ 1.0 n))
1.2b	(pow (+ x 1.0) (/ 1.0 n))

rewrite184.0ms

Algorithm

rewrite-expression-head

Rules

41×	`*-un-lft-identity`
40×	`add-sqr-sqrt`
39×	`pow-unpow`
28×	`add-cube-cbrt`
27×	`times-frac`
22×	`unpow-prod-down`
9×	`difference-of-squares` `sqr-pow`
7×	`pow1` `add-exp-log`
6×	`add-log-exp`
4×	`add-cbrt-cube` `distribute-lft-out`
3×	`pow-to-exp` `pow-pow` `pow-exp` `div-inv` `distribute-lft-out--`
1×	`sub-neg` `flip3--` `diff-log` `flip--`

Counts

4 → 108

Calls

4 calls:

127.0ms	(- (pow (+ x 1.0) (/ 1.0 n)) (pow x (/ 1.0 n)))
24.0ms	(pow (+ x 1.0) (/ 1.0 n))
11.0ms	(pow (+ x 1.0) (/ 1.0 n))
13.0ms	(pow (+ x 1.0) (/ 1.0 n))

series982.0ms

Counts

4 → 12

Calls

4 calls:

335.0ms	(- (pow (+ x 1.0) (/ 1.0 n)) (pow x (/ 1.0 n)))
206.0ms	(pow (+ x 1.0) (/ 1.0 n))
226.0ms	(pow (+ x 1.0) (/ 1.0 n))
215.0ms	(pow (+ x 1.0) (/ 1.0 n))

simplify1.9s

Counts: 120 → 120

prune665.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 19.2b

localize29.0ms

Local error

Found 4 expressions with local error:

1.2b	(pow (+ x 1.0) (/ 1.0 n))
1.2b	(pow (+ x 1.0) (/ 1.0 n))
1.2b	(pow (+ x 1.0) (/ 1.0 n))
1.3b	(- (sqrt (pow (+ x 1.0) (/ 1.0 n))) (pow x (/ (/ 1.0 n) 2)))

rewrite178.0ms

Algorithm

rewrite-expression-head

Rules

45×	`add-sqr-sqrt`
39×	`pow-unpow`
36×	`*-un-lft-identity`
28×	`add-cube-cbrt`
27×	`times-frac`
19×	`unpow-prod-down`
12×	`difference-of-squares`
10×	`sqr-pow`
9×	`sqrt-prod`
7×	`pow1` `add-exp-log`
6×	`add-log-exp`
4×	`add-cbrt-cube`
3×	`pow-to-exp` `pow-pow` `pow-exp` `div-inv` `distribute-lft-out`
1×	`sub-neg` `flip3--` `diff-log` `flip--` `distribute-lft-out--`

Counts

4 → 109

Calls

4 calls:

15.0ms	(pow (+ x 1.0) (/ 1.0 n))
11.0ms	(pow (+ x 1.0) (/ 1.0 n))
11.0ms	(pow (+ x 1.0) (/ 1.0 n))
134.0ms	(- (sqrt (pow (+ x 1.0) (/ 1.0 n))) (pow x (/ (/ 1.0 n) 2)))

series1.2s

Counts

4 → 12

Calls

4 calls:

191.0ms	(pow (+ x 1.0) (/ 1.0 n))
249.0ms	(pow (+ x 1.0) (/ 1.0 n))
213.0ms	(pow (+ x 1.0) (/ 1.0 n))
597.0ms	(- (sqrt (pow (+ x 1.0) (/ 1.0 n))) (pow x (/ (/ 1.0 n) 2)))

simplify2.1s

Counts: 121 → 121

prune790.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 19.2b

localize23.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt n)
1.0b	(pow x (/ 1.0 n))
1.5b	(pow (+ x 1.0) (/ 1 (* (cbrt n) (cbrt n))))
1.7b	(- (pow (pow (+ x 1.0) (/ 1 (* (cbrt n) (cbrt n)))) (/ 1.0 (cbrt n))) (pow x (/ 1.0 n)))

rewrite289.0ms

Algorithm

rewrite-expression-head

Rules

35×	`add-sqr-sqrt`
24×	`unpow-prod-down`
20×	`pow-unpow` `*-un-lft-identity`
16×	`add-cube-cbrt`
15×	`difference-of-squares`
13×	`sqr-pow`
12×	`times-frac`
6×	`pow1` `add-exp-log` `add-log-exp`
4×	`add-cbrt-cube`
3×	`cbrt-prod`
2×	`pow-to-exp` `pow-pow` `pow-exp` `div-inv`
1×	`sub-neg` `flip3--` `pow1/3` `diff-log` `flip--` `distribute-lft-out` `distribute-lft-out--`

Counts

4 → 88

Calls

4 calls:

1.0ms	(cbrt n)
7.0ms	(pow x (/ 1.0 n))
27.0ms	(pow (+ x 1.0) (/ 1 (* (cbrt n) (cbrt n))))
251.0ms	(- (pow (pow (+ x 1.0) (/ 1 (* (cbrt n) (cbrt n)))) (/ 1.0 (cbrt n))) (pow x (/ 1.0 n)))

series1.4s

Counts

4 → 12

Calls

4 calls:

273.0ms	(cbrt n)
84.0ms	(pow x (/ 1.0 n))
342.0ms	(pow (+ x 1.0) (/ 1 (* (cbrt n) (cbrt n))))
670.0ms	(- (pow (pow (+ x 1.0) (/ 1 (* (cbrt n) (cbrt n)))) (/ 1.0 (cbrt n))) (pow x (/ 1.0 n)))

simplify1.1s

Counts: 100 → 100

prune462.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 18.9b

regimes364.0ms

Accuracy

83.3% (1.5b remaining)

Error of 21.9b against oracle of 20.4b and baseline of 29.2b

bsearch1.0ms

simplify1.1s

end0.0ms

sample8.6s

Algorithm

intervals

Results

2.5s	3221×	body	1280	valid
1.1s	846×	body	320	valid
966.0ms	1610×	body	640	valid
931.0ms	1130×	body	10240	exit
599.0ms	4737×	body	80	valid
473.0ms	650×	body	1280	nan
410.0ms	661×	body	640	nan
407.0ms	4978×	body	80	nan
193.0ms	351×	body	320	nan
131.0ms	434×	body	160	valid
77.0ms	186×	body	160	nan