Details

sample239.0ms

Algorithm

intervals

Results

82.0ms	296×	body	80	nan
43.0ms	50×	body	10240	exit
33.0ms	256×	body	80	valid

simplify1.7s

Counts

1 → 1

Iterations

Iter	Nodes
done	5019
6	1161
5	250
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

localize22.0ms

Local error

Found 2 expressions with local error:

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

rewrite13.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 20

Calls

2 calls:

8.0ms	(sin (pow (sqrt (atan2 b b)) (- b a)))
3.0ms	(sqrt (atan2 b b))

series126.0ms

Counts

2 → 6

Calls

2 calls:

107.0ms	(sin (pow (sqrt (atan2 b b)) (- b a)))
18.0ms	(sqrt (atan2 b b))

simplify2.1s

Counts

26 → 26

Iterations

Iter	Nodes
done	5005
6	1388
5	465
4	268
3	169
2	101
1	59
0	36

prune159.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize25.0ms

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))

rewrite15.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 52

Calls

4 calls:

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

series368.0ms

Counts

4 → 12

Calls

4 calls:

164.0ms	(sqrt (sin (pow (sqrt (atan2 b b)) (- b a))))
164.0ms	(sqrt (sin (pow (sqrt (atan2 b b)) (- b a))))
20.0ms	(sqrt (atan2 b b))
20.0ms	(sqrt (atan2 b b))

simplify3.4s

Counts

64 → 64

Iterations

Iter	Nodes
done	5072
4	2537
3	580
2	207
1	83
0	49

prune368.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes186.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Iter	Nodes
done	7
0	7

end0.0ms

sample5.3s

Algorithm

intervals

Results

2.1s	1824×	body	10240	exit
1.6s	9952×	body	80	nan
979.0ms	7999×	body	80	valid
1.0ms	1×	body	1280	valid