Details

sample165.0ms

Algorithm

intervals

Results

54.0ms	103×	body	1280	valid
18.0ms	49×	body	640	valid
16.0ms	24×	body	1280	nan
15.0ms	43×	body	10240	exit
10.0ms	145×	body	80	valid
8.0ms	19×	body	640	nan
7.0ms	25×	body	320	valid
7.0ms	129×	body	80	nan
3.0ms	13×	body	320	nan
3.0ms	14×	body	160	valid
1.0ms	8×	body	160	nan

simplify55.0ms

Counts: 1 → 1

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 29.9b

localize11.0ms

Local error

Found 3 expressions with local error:

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

rewrite98.0ms

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))
10.0ms	(pow (+ x 1.0) (/ 1.0 n))
81.0ms	(- (pow (+ x 1.0) (/ 1.0 n)) (pow x (/ 1.0 n)))

series550.0ms

Counts

3 → 9

Calls

3 calls:

71.0ms	(pow x (/ 1.0 n))
172.0ms	(pow (+ x 1.0) (/ 1.0 n))
307.0ms	(- (pow (+ x 1.0) (/ 1.0 n)) (pow x (/ 1.0 n)))

simplify46.0ms

Counts: 88 → 88

prune274.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 20.5b

localize17.0ms

Local error

Found 4 expressions with local error:

1.5b	(pow (+ x 1.0) (/ 1.0 n))
1.5b	(pow (+ x 1.0) (/ 1.0 n))
1.5b	(pow (+ x 1.0) (/ 1.0 n))
3.5b	(- (* (* (cbrt (pow (+ x 1.0) (/ 1.0 n))) (cbrt (pow (+ x 1.0) (/ 1.0 n)))) (cbrt (pow (+ x 1.0) (/ 1.0 n)))) (pow x (/ 1.0 n)))

rewrite153.0ms

Algorithm

rewrite-expression-head

Rules

39×	`pow-unpow`
34×	`*-un-lft-identity`
28×	`add-sqr-sqrt` `add-cube-cbrt`
27×	`times-frac`
12×	`unpow-prod-down`
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` `sqr-pow`
1×	`sub-neg` `flip3--` `diff-log` `flip--`

Counts

4 → 96

Calls

4 calls:

10.0ms	(pow (+ x 1.0) (/ 1.0 n))
10.0ms	(pow (+ x 1.0) (/ 1.0 n))
11.0ms	(pow (+ x 1.0) (/ 1.0 n))
119.0ms	(- (* (* (cbrt (pow (+ x 1.0) (/ 1.0 n))) (cbrt (pow (+ x 1.0) (/ 1.0 n)))) (cbrt (pow (+ x 1.0) (/ 1.0 n)))) (pow x (/ 1.0 n)))

series821.0ms

Counts

4 → 12

Calls

4 calls:

169.0ms	(pow (+ x 1.0) (/ 1.0 n))
166.0ms	(pow (+ x 1.0) (/ 1.0 n))
162.0ms	(pow (+ x 1.0) (/ 1.0 n))
325.0ms	(- (* (* (cbrt (pow (+ x 1.0) (/ 1.0 n))) (cbrt (pow (+ x 1.0) (/ 1.0 n)))) (cbrt (pow (+ x 1.0) (/ 1.0 n)))) (pow x (/ 1.0 n)))

simplify40.0ms

Counts: 108 → 108

prune416.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 20.5b

localize36.0ms

Local error

Found 4 expressions with local error:

1.2b	(- (* (* (cbrt (+ (+ (* (/ (log x) n) 1.0) 1) (/ (/ 1.0 n) x))) (cbrt (pow (+ x 1.0) (/ 1.0 n)))) (cbrt (pow (+ x 1.0) (/ 1.0 n)))) (pow x (/ 1.0 n)))
1.5b	(pow (+ x 1.0) (/ 1.0 n))
1.5b	(pow (+ x 1.0) (/ 1.0 n))
2.1b	(cbrt (+ (+ (* (/ (log x) n) 1.0) 1) (/ (/ 1.0 n) x)))

rewrite356.0ms

Algorithm

rewrite-expression-head

Rules

27×	`*-un-lft-identity`
26×	`pow-unpow`
21×	`add-sqr-sqrt` `add-cube-cbrt`
18×	`times-frac`
8×	`unpow-prod-down`
6×	`pow1` `add-exp-log` `add-log-exp`
4×	`cbrt-prod` `cbrt-div` `add-cbrt-cube`
3×	`distribute-lft-out`
2×	`pow-to-exp` `pow-pow` `flip3-+` `frac-add` `pow-exp` `flip-+` `div-inv` `sqr-pow`
1×	`sub-neg` `flip3--` `pow1/3` `diff-log` `flip--`

Counts

4 → 84

Calls

4 calls:

281.0ms	(- (* (* (cbrt (+ (+ (* (/ (log x) n) 1.0) 1) (/ (/ 1.0 n) x))) (cbrt (pow (+ x 1.0) (/ 1.0 n)))) (cbrt (pow (+ x 1.0) (/ 1.0 n)))) (pow x (/ 1.0 n)))
10.0ms	(pow (+ x 1.0) (/ 1.0 n))
13.0ms	(pow (+ x 1.0) (/ 1.0 n))
49.0ms	(cbrt (+ (+ (* (/ (log x) n) 1.0) 1) (/ (/ 1.0 n) x)))

series3.7s

Counts

4 → 12

Calls

4 calls:

3.2s	(- (* (* (cbrt (+ (+ (* (/ (log x) n) 1.0) 1) (/ (/ 1.0 n) x))) (cbrt (pow (+ x 1.0) (/ 1.0 n)))) (cbrt (pow (+ x 1.0) (/ 1.0 n)))) (pow x (/ 1.0 n)))
165.0ms	(pow (+ x 1.0) (/ 1.0 n))
163.0ms	(pow (+ x 1.0) (/ 1.0 n))
176.0ms	(cbrt (+ (+ (* (/ (log x) n) 1.0) 1) (/ (/ 1.0 n) x)))

simplify63.0ms

Counts: 96 → 96

prune507.0ms

Pruning

14 alts after pruning (12 fresh and 2 done)

Merged error: 20.4b

localize51.0ms

Local error

Found 4 expressions with local error:

1.5b	(pow (+ x 1.0) (/ 1.0 n))
2.1b	(cbrt (+ (+ (* (/ (log x) n) 1.0) 1) (/ (/ 1.0 n) x)))
2.1b	(cbrt (+ (+ (* (/ (log x) n) 1.0) 1) (/ (/ 1.0 n) x)))
2.1b	(cbrt (+ (+ (* (/ (log x) n) 1.0) 1) (/ (/ 1.0 n) x)))

rewrite157.0ms

Algorithm

rewrite-expression-head

Rules

23×	`*-un-lft-identity`
15×	`add-sqr-sqrt` `add-cube-cbrt`
13×	`pow-unpow`
12×	`cbrt-prod` `cbrt-div`
9×	`times-frac`
6×	`flip3-+` `frac-add` `flip-+`
5×	`pow1` `add-exp-log`
4×	`unpow-prod-down` `add-cbrt-cube` `distribute-lft-out` `add-log-exp`
3×	`pow1/3`
1×	`pow-to-exp` `pow-pow` `pow-exp` `div-inv` `sqr-pow`

Counts

4 → 76

Calls

4 calls:

11.0ms	(pow (+ x 1.0) (/ 1.0 n))
46.0ms	(cbrt (+ (+ (* (/ (log x) n) 1.0) 1) (/ (/ 1.0 n) x)))
45.0ms	(cbrt (+ (+ (* (/ (log x) n) 1.0) 1) (/ (/ 1.0 n) x)))
51.0ms	(cbrt (+ (+ (* (/ (log x) n) 1.0) 1) (/ (/ 1.0 n) x)))

series660.0ms

Counts

4 → 12

Calls

4 calls:

164.0ms	(pow (+ x 1.0) (/ 1.0 n))
167.0ms	(cbrt (+ (+ (* (/ (log x) n) 1.0) 1) (/ (/ 1.0 n) x)))
167.0ms	(cbrt (+ (+ (* (/ (log x) n) 1.0) 1) (/ (/ 1.0 n) x)))
162.0ms	(cbrt (+ (+ (* (/ (log x) n) 1.0) 1) (/ (/ 1.0 n) x)))

simplify48.0ms

Counts: 88 → 88

prune495.0ms

Pruning

13 alts after pruning (11 fresh and 2 done)

Merged error: 20.4b

regimes330.0ms

Accuracy

84.1% (1.4b remaining)

Error of 22.1b against oracle of 20.7b and baseline of 29.5b

bsearch2.0ms

simplify1.0ms

end0.0ms

sample6.2s

Algorithm

intervals

Results

2.2s	3207×	body	1280	valid
707.0ms	1652×	body	640	valid
637.0ms	1157×	body	10240	exit
425.0ms	656×	body	1280	nan
403.0ms	333×	body	320	nan
378.0ms	4692×	body	80	valid
264.0ms	5032×	body	80	nan
245.0ms	645×	body	640	nan
233.0ms	800×	body	320	valid
68.0ms	426×	body	160	valid
23.0ms	166×	body	160	nan