Details

sample239.0ms

Algorithm

intervals

Results

76.0ms	88×	body	2560	valid
68.0ms	862×	body	80	nan
42.0ms	86×	body	1280	valid
13.0ms	39×	body	640	valid
3.0ms	17×	body	320	valid
2.0ms	12×	body	160	valid
2.0ms	14×	body	80	valid

simplify4.6s

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	9
1	10	9
2	17	9
3	41	9
4	104	9
5	274	9
6	870	9
7	3394	9
done	5001	9

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 30.1b

localize12.0ms

Local error

Found 2 expressions with local error:

2.2b	(fmod a (asin a))
29.2b	(pow (atan (fmod a (asin a))) (* a a))

rewrite5.0ms

Algorithm

rewrite-expression-head

Rules

3×	`pow1` `add-exp-log` `add-sqr-sqrt` `add-cube-cbrt` `unpow-prod-down` `*-un-lft-identity`
2×	`expm1-log1p-u` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp`
1×	`pow-to-exp` `pow-unpow` `pow-pow` `pow-exp` `sqr-pow`

Counts

2 → 26

Calls

2 calls:

0.0ms	(fmod a (asin a))
4.0ms	(pow (atan (fmod a (asin a))) (* a a))

series24.0ms

Counts

2 → 6

Calls

2 calls:

3.0ms	(fmod a (asin a))
21.0ms	(pow (atan (fmod a (asin a))) (* a a))

simplify3.8s

Counts

32 → 32

Iterations

Useful iterations: 4 (1.3s)

Iter	Nodes	Cost
0	50	352
1	97	337
2	216	319
3	650	318
4	2378	316
done	5000	316

prune122.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 29.9b

localize25.0ms

Local error

Found 4 expressions with local error:

2.2b	(fmod a (asin a))
2.2b	(fmod a (asin a))
29.4b	(pow (atan (fmod a (asin a))) (/ (* a a) 2))
29.4b	(pow (atan (fmod a (asin a))) (/ (* a a) 2))

rewrite19.0ms

Algorithm

rewrite-expression-head

Rules

14×	`pow-unpow`
10×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
6×	`pow1` `add-exp-log` `unpow-prod-down` `times-frac`
4×	`expm1-log1p-u` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp`
2×	`pow-to-exp` `pow-pow` `pow-exp` `div-inv` `sqr-pow`

Counts

4 → 64

Calls

4 calls:

0.0ms	(fmod a (asin a))
0.0ms	(fmod a (asin a))
8.0ms	(pow (atan (fmod a (asin a))) (/ (* a a) 2))
8.0ms	(pow (atan (fmod a (asin a))) (/ (* a a) 2))

series75.0ms

Counts

4 → 12

Calls

4 calls:

2.0ms	(fmod a (asin a))
2.0ms	(fmod a (asin a))
23.0ms	(pow (atan (fmod a (asin a))) (/ (* a a) 2))
49.0ms	(pow (atan (fmod a (asin a))) (/ (* a a) 2))

simplify5.5s

Counts

76 → 76

Iterations

Useful iterations: 4 (2.8s)

Iter	Nodes	Cost
0	68	960
1	139	898
2	322	866
3	1000	824
4	4280	820
done	5000	820

prune390.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 29.9b

regimes42.0ms

Accuracy

0% (0.0b remaining)

Error of 31.2b against oracle of 31.1b and baseline of 31.2b

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	23
done	9	23

end0.0ms

sample10.4s

Algorithm

intervals

Results

3.1s	2989×	body	2560	valid
2.9s	23815×	body	80	nan
2.8s	2529×	body	1280	valid
545.0ms	1250×	body	640	valid
165.0ms	645×	body	320	valid
56.0ms	297×	body	160	valid
36.0ms	290×	body	80	valid