Details

sample158.0ms

Algorithm

intervals

Results

52.0ms	106×	body	1280	valid
17.0ms	43×	body	10240	exit
15.0ms	46×	body	640	valid
9.0ms	161×	body	80	valid
6.0ms	164×	body	80	nan
6.0ms	12×	body	1280	nan
6.0ms	18×	body	640	nan
5.0ms	23×	body	320	valid
2.0ms	17×	body	160	valid
2.0ms	10×	body	320	nan
0.0ms	3×	body	160	nan

simplify1.7s

Counts: 1 → 1

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 30.3b

localize9.0ms

Local error

Found 3 expressions with local error:

0.5b	(pow x (/ 1.0 n))
0.7b	(pow (+ x 1.0) (/ 1.0 n))
2.6b	(- (pow (+ x 1.0) (/ 1.0 n)) (pow x (/ 1.0 n)))

rewrite89.0ms

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))
73.0ms	(- (pow (+ x 1.0) (/ 1.0 n)) (pow x (/ 1.0 n)))

series456.0ms

Counts

3 → 9

Calls

3 calls:

57.0ms	(pow x (/ 1.0 n))
138.0ms	(pow (+ x 1.0) (/ 1.0 n))
261.0ms	(- (pow (+ x 1.0) (/ 1.0 n)) (pow x (/ 1.0 n)))

simplify465.0ms

Counts: 88 → 88

prune227.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 22.9b

localize16.0ms

Local error

Found 4 expressions with local error:

0.3b	(cbrt (+ x 1.0))
0.5b	(pow x (/ 1.0 n))
0.7b	(pow (cbrt (+ x 1.0)) (/ 1.0 n))
2.8b	(- (* (pow (* (cbrt (+ x 1.0)) (cbrt (+ x 1.0))) (/ 1.0 n)) (pow (cbrt (+ x 1.0)) (/ 1.0 n))) (pow x (/ 1.0 n)))

rewrite60.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 85

Calls

4 calls:

3.0ms	(cbrt (+ x 1.0))
4.0ms	(pow x (/ 1.0 n))
10.0ms	(pow (cbrt (+ x 1.0)) (/ 1.0 n))
40.0ms	(- (* (pow (* (cbrt (+ x 1.0)) (cbrt (+ x 1.0))) (/ 1.0 n)) (pow (cbrt (+ x 1.0)) (/ 1.0 n))) (pow x (/ 1.0 n)))

series1.3s

Counts

4 → 12

Calls

4 calls:

83.0ms	(cbrt (+ x 1.0))
55.0ms	(pow x (/ 1.0 n))
303.0ms	(pow (cbrt (+ x 1.0)) (/ 1.0 n))
814.0ms	(- (* (pow (* (cbrt (+ x 1.0)) (cbrt (+ x 1.0))) (/ 1.0 n)) (pow (cbrt (+ x 1.0)) (/ 1.0 n))) (pow x (/ 1.0 n)))

simplify784.0ms

Counts: 97 → 97

prune362.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 22.8b

localize19.0ms

Local error

Found 4 expressions with local error:

0.5b	(pow x (/ 1.0 n))
0.7b	(pow (cbrt (+ x 1.0)) (/ 1.0 n))
0.7b	(pow (cbrt (+ x 1.0)) (/ 1.0 n))
3.3b	(- (* (pow (* (cbrt (+ x 1.0)) (cbrt (+ x 1.0))) (/ 1.0 n)) (* (sqrt (pow (cbrt (+ x 1.0)) (/ 1.0 n))) (sqrt (pow (cbrt (+ x 1.0)) (/ 1.0 n))))) (pow x (/ 1.0 n)))

rewrite136.0ms

Algorithm

rewrite-expression-head

Rules

39×	`pow-unpow`
34×	`*-un-lft-identity`
30×	`add-sqr-sqrt` `add-cube-cbrt`
27×	`times-frac`
17×	`unpow-prod-down`
8×	`cbrt-prod`
7×	`pow1` `add-exp-log`
6×	`add-log-exp`
5×	`pow-pow`
4×	`add-cbrt-cube`
3×	`pow-to-exp` `pow-exp` `div-inv` `sqr-pow`
2×	`pow1/3` `distribute-lft-out`
1×	`sub-neg` `flip3--` `diff-log` `flip--`

Counts

4 → 103

Calls

4 calls:

4.0ms	(pow x (/ 1.0 n))
10.0ms	(pow (cbrt (+ x 1.0)) (/ 1.0 n))
10.0ms	(pow (cbrt (+ x 1.0)) (/ 1.0 n))
108.0ms	(- (* (pow (* (cbrt (+ x 1.0)) (cbrt (+ x 1.0))) (/ 1.0 n)) (* (sqrt (pow (cbrt (+ x 1.0)) (/ 1.0 n))) (sqrt (pow (cbrt (+ x 1.0)) (/ 1.0 n))))) (pow x (/ 1.0 n)))

series1.5s

Counts

4 → 12

Calls

4 calls:

61.0ms	(pow x (/ 1.0 n))
307.0ms	(pow (cbrt (+ x 1.0)) (/ 1.0 n))
299.0ms	(pow (cbrt (+ x 1.0)) (/ 1.0 n))
821.0ms	(- (* (pow (* (cbrt (+ x 1.0)) (cbrt (+ x 1.0))) (/ 1.0 n)) (* (sqrt (pow (cbrt (+ x 1.0)) (/ 1.0 n))) (sqrt (pow (cbrt (+ x 1.0)) (/ 1.0 n))))) (pow x (/ 1.0 n)))

simplify686.0ms

Counts: 115 → 115

prune470.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 22.8b

localize22.0ms

Local error

Found 4 expressions with local error:

0.5b	(pow x (/ 1.0 n))
0.7b	(pow (cbrt (+ x 1.0)) (/ 1.0 n))
0.7b	(pow (cbrt (+ x 1.0)) (/ 1.0 n))
3.3b	(- (* (pow (* (cbrt (+ x 1.0)) (cbrt (+ x 1.0))) (/ 1.0 n)) (* (sqrt (pow (cbrt (+ x 1.0)) (/ 1.0 n))) (sqrt (pow (cbrt (+ x 1.0)) (/ 1.0 n))))) (pow x (/ 1.0 n)))

rewrite137.0ms

Algorithm

rewrite-expression-head

Rules

39×	`pow-unpow`
34×	`*-un-lft-identity`
30×	`add-sqr-sqrt` `add-cube-cbrt`
27×	`times-frac`
17×	`unpow-prod-down`
8×	`cbrt-prod`
7×	`pow1` `add-exp-log`
6×	`add-log-exp`
5×	`pow-pow`
4×	`add-cbrt-cube`
3×	`pow-to-exp` `pow-exp` `div-inv` `sqr-pow`
2×	`pow1/3` `distribute-lft-out`
1×	`sub-neg` `flip3--` `diff-log` `flip--`

Counts

4 → 103

Calls

4 calls:

4.0ms	(pow x (/ 1.0 n))
11.0ms	(pow (cbrt (+ x 1.0)) (/ 1.0 n))
10.0ms	(pow (cbrt (+ x 1.0)) (/ 1.0 n))
110.0ms	(- (* (pow (* (cbrt (+ x 1.0)) (cbrt (+ x 1.0))) (/ 1.0 n)) (* (sqrt (pow (cbrt (+ x 1.0)) (/ 1.0 n))) (sqrt (pow (cbrt (+ x 1.0)) (/ 1.0 n))))) (pow x (/ 1.0 n)))

series1.5s

Counts

4 → 12

Calls

4 calls:

61.0ms	(pow x (/ 1.0 n))
308.0ms	(pow (cbrt (+ x 1.0)) (/ 1.0 n))
299.0ms	(pow (cbrt (+ x 1.0)) (/ 1.0 n))
822.0ms	(- (* (pow (* (cbrt (+ x 1.0)) (cbrt (+ x 1.0))) (/ 1.0 n)) (* (sqrt (pow (cbrt (+ x 1.0)) (/ 1.0 n))) (sqrt (pow (cbrt (+ x 1.0)) (/ 1.0 n))))) (pow x (/ 1.0 n)))

simplify685.0ms

Counts: 115 → 115

prune512.0ms

Pruning

12 alts after pruning (11 fresh and 1 done)

Merged error: 22.8b

regimes347.0ms

Accuracy

78.5% (1.8b remaining)

Error of 22.5b against oracle of 20.7b and baseline of 29.1b

bsearch199.0ms

Steps

Iters	Range		Point
9	6.674133934408259e+24	4.604676202906592e+32	6.797098439818426e+24
9	-1.248160130515913e+22	-32933141818594.543	-425468881551229.6

simplify2.2s

end0.0ms

sample5.4s

Algorithm

intervals

Results

1.6s	3232×	body	1280	valid
1.2s	1111×	body	10240	exit
646.0ms	1529×	body	640	valid
342.0ms	635×	body	1280	nan
321.0ms	4834×	body	80	valid
230.0ms	624×	body	640	nan
223.0ms	5004×	body	80	nan
209.0ms	817×	body	320	valid
91.0ms	332×	body	320	nan
64.0ms	466×	body	160	valid
22.0ms	172×	body	160	nan