Details

sample151.0ms

Algorithm

intervals

Results

48.0ms	101×	body	1280	valid
20.0ms	36×	body	10240	exit
16.0ms	28×	body	1280	nan
14.0ms	40×	body	640	valid
8.0ms	146×	body	80	valid
8.0ms	24×	body	640	nan
7.0ms	32×	body	320	valid
6.0ms	136×	body	80	nan
2.0ms	12×	body	320	nan
2.0ms	15×	body	160	valid
1.0ms	5×	body	160	nan

simplify2.6s

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	8	13
1	17	13
2	35	13
3	86	13
4	229	13
5	753	13
6	3894	13
done	5000	13

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 30.2b

localize9.0ms

Local error

Found 3 expressions with local error:

1.0b	(pow x (/ 1.0 n))
1.4b	(- (pow (+ x 1.0) (/ 1.0 n)) (pow x (/ 1.0 n)))
1.8b	(pow (+ x 1.0) (/ 1.0 n))

rewrite83.0ms

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:

3.0ms	(pow x (/ 1.0 n))
67.0ms	(- (pow (+ x 1.0) (/ 1.0 n)) (pow x (/ 1.0 n)))
7.0ms	(pow (+ x 1.0) (/ 1.0 n))

series545.0ms

Counts

3 → 9

Calls

3 calls:

63.0ms	(pow x (/ 1.0 n))
321.0ms	(- (pow (+ x 1.0) (/ 1.0 n)) (pow x (/ 1.0 n)))
161.0ms	(pow (+ x 1.0) (/ 1.0 n))

simplify895.0ms

Counts

158 → 158

Iterations

Useful iterations: done (890.0ms)

Iter	Nodes	Cost
0	271	4785
1	661	3566
2	2168	3020
done	5000	3012

prune370.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 21.8b

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b	(cbrt (pow (- (pow (+ x 1.0) (/ 1.0 n)) (pow x (/ 1.0 n))) 3))
1.0b	(pow x (/ 1.0 n))
1.4b	(- (pow (+ x 1.0) (/ 1.0 n)) (pow x (/ 1.0 n)))
1.8b	(pow (+ x 1.0) (/ 1.0 n))

rewrite110.0ms

Algorithm

rewrite-expression-head

Rules

108×	`unpow-prod-down`
94×	`*-un-lft-identity`
91×	`add-sqr-sqrt`
56×	`prod-diff`
55×	`add-cube-cbrt`
37×	`sqr-pow`
36×	`cbrt-prod`
27×	`difference-of-squares`
26×	`pow-unpow`
18×	`times-frac`
15×	`cube-prod`
12×	`distribute-lft-out`
9×	`distribute-lft-out--`
8×	`fma-neg`
6×	`pow1` `add-exp-log` `add-log-exp`
4×	`expm1-log1p-u` `add-cbrt-cube` `log1p-expm1-u`
2×	`cube-div` `pow-to-exp` `cbrt-div` `flip3--` `pow-pow` `pow-exp` `flip--` `div-inv`
1×	`cube-mult` `sub-neg` `pow1/3` `diff-log` `unpow3` `rem-cbrt-cube`

Counts

4 → 198

Calls

4 calls:

44.0ms	(cbrt (pow (- (pow (+ x 1.0) (/ 1.0 n)) (pow x (/ 1.0 n))) 3))
2.0ms	(pow x (/ 1.0 n))
50.0ms	(- (pow (+ x 1.0) (/ 1.0 n)) (pow x (/ 1.0 n)))
6.0ms	(pow (+ x 1.0) (/ 1.0 n))

series788.0ms

Counts

4 → 12

Calls

4 calls:

292.0ms	(cbrt (pow (- (pow (+ x 1.0) (/ 1.0 n)) (pow x (/ 1.0 n))) 3))
64.0ms	(pow x (/ 1.0 n))
281.0ms	(- (pow (+ x 1.0) (/ 1.0 n)) (pow x (/ 1.0 n)))
151.0ms	(pow (+ x 1.0) (/ 1.0 n))

simplify2.1s

Counts

210 → 210

Iterations

Useful iterations: done (2.1s)

Iter	Nodes	Cost
0	344	6422
1	880	4859
2	3023	4254
done	5001	4246

prune575.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 21.8b

localize15.0ms

Local error

Found 4 expressions with local error:

0.0b	(cbrt (pow (- (pow (+ x 1.0) (/ 1.0 n)) (pow x (/ 1.0 n))) 3))
1.0b	(pow x (/ 1.0 n))
1.4b	(- (pow (+ x 1.0) (/ 1.0 n)) (pow x (/ 1.0 n)))
1.8b	(pow (+ x 1.0) (/ 1.0 n))

rewrite124.0ms

Algorithm

rewrite-expression-head

Rules

108×	`unpow-prod-down`
94×	`*-un-lft-identity`
91×	`add-sqr-sqrt`
56×	`prod-diff`
55×	`add-cube-cbrt`
37×	`sqr-pow`
36×	`cbrt-prod`
27×	`difference-of-squares`
26×	`pow-unpow`
18×	`times-frac`
15×	`cube-prod`
12×	`distribute-lft-out`
9×	`distribute-lft-out--`
8×	`fma-neg`
6×	`pow1` `add-exp-log` `add-log-exp`
4×	`expm1-log1p-u` `add-cbrt-cube` `log1p-expm1-u`
2×	`cube-div` `pow-to-exp` `cbrt-div` `flip3--` `pow-pow` `pow-exp` `flip--` `div-inv`
1×	`cube-mult` `sub-neg` `pow1/3` `diff-log` `unpow3` `rem-cbrt-cube`

Counts

4 → 198

Calls

4 calls:

47.0ms	(cbrt (pow (- (pow (+ x 1.0) (/ 1.0 n)) (pow x (/ 1.0 n))) 3))
2.0ms	(pow x (/ 1.0 n))
55.0ms	(- (pow (+ x 1.0) (/ 1.0 n)) (pow x (/ 1.0 n)))
6.0ms	(pow (+ x 1.0) (/ 1.0 n))

series923.0ms

Counts

4 → 12

Calls

4 calls:

313.0ms	(cbrt (pow (- (pow (+ x 1.0) (/ 1.0 n)) (pow x (/ 1.0 n))) 3))
92.0ms	(pow x (/ 1.0 n))
340.0ms	(- (pow (+ x 1.0) (/ 1.0 n)) (pow x (/ 1.0 n)))
177.0ms	(pow (+ x 1.0) (/ 1.0 n))

simplify1.8s

Counts

210 → 210

Iterations

Useful iterations: done (1.8s)

Iter	Nodes	Cost
0	344	6422
1	880	4859
2	3023	4254
done	5001	4246

prune696.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 21.8b

localize16.0ms

Local error

Found 4 expressions with local error:

0.0b	(cbrt (pow (- (pow (+ x 1.0) (/ 1.0 n)) (pow x (/ 1.0 n))) 3))
1.0b	(pow x (/ 1.0 n))
1.4b	(- (pow (+ x 1.0) (/ 1.0 n)) (pow x (/ 1.0 n)))
1.8b	(pow (+ x 1.0) (/ 1.0 n))

rewrite133.0ms

Algorithm

rewrite-expression-head

Rules

108×	`unpow-prod-down`
94×	`*-un-lft-identity`
91×	`add-sqr-sqrt`
56×	`prod-diff`
55×	`add-cube-cbrt`
37×	`sqr-pow`
36×	`cbrt-prod`
27×	`difference-of-squares`
26×	`pow-unpow`
18×	`times-frac`
15×	`cube-prod`
12×	`distribute-lft-out`
9×	`distribute-lft-out--`
8×	`fma-neg`
6×	`pow1` `add-exp-log` `add-log-exp`
4×	`expm1-log1p-u` `add-cbrt-cube` `log1p-expm1-u`
2×	`cube-div` `pow-to-exp` `cbrt-div` `flip3--` `pow-pow` `pow-exp` `flip--` `div-inv`
1×	`cube-mult` `sub-neg` `pow1/3` `diff-log` `unpow3` `rem-cbrt-cube`

Counts

4 → 198

Calls

4 calls:

55.0ms	(cbrt (pow (- (pow (+ x 1.0) (/ 1.0 n)) (pow x (/ 1.0 n))) 3))
3.0ms	(pow x (/ 1.0 n))
59.0ms	(- (pow (+ x 1.0) (/ 1.0 n)) (pow x (/ 1.0 n)))
6.0ms	(pow (+ x 1.0) (/ 1.0 n))

series943.0ms

Counts

4 → 12

Calls

4 calls:

320.0ms	(cbrt (pow (- (pow (+ x 1.0) (/ 1.0 n)) (pow x (/ 1.0 n))) 3))
76.0ms	(pow x (/ 1.0 n))
315.0ms	(- (pow (+ x 1.0) (/ 1.0 n)) (pow x (/ 1.0 n)))
231.0ms	(pow (+ x 1.0) (/ 1.0 n))

simplify1.8s

Counts

210 → 210

Iterations

Useful iterations: done (1.8s)

Iter	Nodes	Cost
0	344	6422
1	880	4859
2	3023	4254
done	5001	4246

prune669.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 21.8b

regimes212.0ms

Accuracy

83.5% (1.4b remaining)

Error of 22.3b against oracle of 20.8b and baseline of 29.4b

bsearch1.0ms

simplify4.0ms

Iterations

Useful iterations: 1 (3.0ms)

Iter	Nodes	Cost
0	37	86
1	46	62
done	46	62

end0.0ms

sample4.0s

Algorithm

intervals

Results

1.4s	3138×	body	1280	valid
537.0ms	1574×	body	640	valid
437.0ms	1147×	body	10240	exit
289.0ms	618×	body	1280	nan
247.0ms	4726×	body	80	valid
216.0ms	669×	body	640	nan
190.0ms	885×	body	320	valid
181.0ms	5002×	body	80	nan
66.0ms	449×	body	160	valid
61.0ms	327×	body	320	nan
18.0ms	170×	body	160	nan