Details

sample321.0ms

Algorithm

intervals

Results

25.0ms	55×	body	10240	exit
17.0ms	334×	body	80	nan
14.0ms	256×	body	80	valid

simplify5.1s

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	7	9
1	13	9
2	22	9
3	45	9
4	110	9
5	270	9
6	1202	9
7	4218	9
done	5000	9

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 2 expressions with local error:

0.0b	(sin (pow (sqrt (atan2 b b)) (- b a)))
1.0b	(sqrt (atan2 b b))

rewrite11.0ms

Algorithm

rewrite-expression-head

Rules

4×	`add-sqr-sqrt`
3×	`pow1` `add-cube-cbrt` `*-un-lft-identity` `sqrt-prod`
2×	`add-exp-log` `expm1-log1p-u` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp`
1×	`rem-sqrt-square` `sqrt-pow1` `pow1/2`

Counts

2 → 24

Calls

2 calls:

6.0ms	(sin (pow (sqrt (atan2 b b)) (- b a)))
3.0ms	(sqrt (atan2 b b))

series86.0ms

Counts

2 → 6

Calls

2 calls:

62.0ms	(sin (pow (sqrt (atan2 b b)) (- b a)))
23.0ms	(sqrt (atan2 b b))

simplify1.7s

Counts

30 → 30

Iterations

Useful iterations: 4 (67.0ms)

Iter	Nodes	Cost
0	41	268
1	66	253
2	110	233
3	197	225
4	347	224
5	616	224
6	1768	224
done	5001	224

prune82.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 2 expressions with local error:

0.0b	(sin (pow (sqrt (atan2 b b)) (- b a)))
1.0b	(sqrt (atan2 b b))

rewrite7.0ms

Algorithm

rewrite-expression-head

Rules

4×	`add-sqr-sqrt`
3×	`pow1` `add-cube-cbrt` `*-un-lft-identity` `sqrt-prod`
2×	`add-exp-log` `expm1-log1p-u` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp`
1×	`rem-sqrt-square` `sqrt-pow1` `pow1/2`

Counts

2 → 24

Calls

2 calls:

6.0ms	(sin (pow (sqrt (atan2 b b)) (- b a)))
1.0ms	(sqrt (atan2 b b))

series70.0ms

Counts

2 → 6

Calls

2 calls:

60.0ms	(sin (pow (sqrt (atan2 b b)) (- b a)))
10.0ms	(sqrt (atan2 b b))

simplify1.6s

Counts

30 → 30

Iterations

Useful iterations: 4 (65.0ms)

Iter	Nodes	Cost
0	41	268
1	66	253
2	110	233
3	197	225
4	347	224
5	616	224
6	1768	224
done	5001	224

prune88.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0.0b

regimes72.0ms

Accuracy

0% (0.0b remaining)

Error of 0.2b against oracle of 0.2b and baseline of 0.2b

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	11
done	9	11

end0.0ms

sample2.1s

Algorithm

intervals

Results

786.0ms	1813×	body	10240	exit
465.0ms	9828×	body	80	nan
459.0ms	7983×	body	80	valid
3.0ms	5×	body	1280	valid
3.0ms	1×	body	5120	valid
1.0ms	1×	body	2560	valid
1.0ms	6×	body	160	valid
1.0ms	2×	body	640	valid
0.0ms	2×	body	320	valid