Details

sample824.0ms

Algorithm

intervals

Results

181.0ms	50×	body	10240	exit
102.0ms	256×	body	80	valid
37.0ms	296×	body	80	nan

simplify2.1s

Counts

1 → 1

Iterations

Iter	Nodes
done	5001
6	1114
5	256
4	110
3	45
2	22
1	13
0	7

prune12.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize16.0ms

Local error

Found 2 expressions with local error:

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

rewrite15.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 24

Calls

2 calls:

10.0ms	(sin (pow (sqrt (atan2 b b)) (- b a)))
4.0ms	(sqrt (atan2 b b))

series149.0ms

Counts

2 → 6

Calls

2 calls:

117.0ms	(sin (pow (sqrt (atan2 b b)) (- b a)))
31.0ms	(sqrt (atan2 b b))

simplify2.5s

Counts

30 → 30

Iterations

Iter	Nodes
done	5000
6	1483
5	578
4	347
3	194
2	111
1	64
0	40

prune218.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize23.0ms

Local error

Found 4 expressions with local error:

0.2b	(sqrt (sin (pow (sqrt (atan2 b b)) (- b a))))
0.2b	(sqrt (sin (pow (sqrt (atan2 b b)) (- b a))))
1.0b	(sqrt (atan2 b b))
1.0b	(sqrt (atan2 b b))

rewrite27.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 60

Calls

4 calls:

9.0ms	(sqrt (sin (pow (sqrt (atan2 b b)) (- b a))))
13.0ms	(sqrt (sin (pow (sqrt (atan2 b b)) (- b a))))
2.0ms	(sqrt (atan2 b b))
2.0ms	(sqrt (atan2 b b))

series341.0ms

Counts

4 → 12

Calls

4 calls:

147.0ms	(sqrt (sin (pow (sqrt (atan2 b b)) (- b a))))
171.0ms	(sqrt (sin (pow (sqrt (atan2 b b)) (- b a))))
11.0ms	(sqrt (atan2 b b))
11.0ms	(sqrt (atan2 b b))

simplify4.6s

Counts

72 → 72

Iterations

Iter	Nodes
done	5000
4	3220
3	677
2	217
1	87
0	53

prune430.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes178.0ms

Accuracy

0% (0.0b remaining)

Error of 0.1b against oracle of 0.1b and baseline of 0.1b

bsearch0.0ms

simplify2.0ms

Iterations

Iter	Nodes
done	7
0	7

end0.0ms

sample5.2s

Algorithm

intervals

Results

2.1s	1824×	body	10240	exit
1.6s	9952×	body	80	nan
938.0ms	7999×	body	80	valid
1.0ms	1×	body	1280	valid