Details

sample121.0ms

Algorithm

intervals

Results

41.0ms	54×	body	10240	exit
28.0ms	303×	body	80	nan
27.0ms	256×	body	80	valid

simplify1.9s

Counts

1 → 1

Iterations

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

prune9.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize27.0ms

Local error

Found 2 expressions with local error:

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

rewrite21.0ms

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:

18.0ms	(sin (pow (sqrt (atan2 b b)) (- b a)))
2.0ms	(sqrt (atan2 b b))

series92.0ms

Counts

2 → 6

Calls

2 calls:

80.0ms	(sin (pow (sqrt (atan2 b b)) (- b a)))
12.0ms	(sqrt (atan2 b b))

simplify2.3s

Counts

30 → 30

Iterations

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

prune194.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize40.0ms

Local error

Found 4 expressions with local error:

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

rewrite78.0ms

Algorithm

rewrite-expression-head

Rules

30×	`add-sqr-sqrt`
27×	`sqrt-prod`
22×	`pow1`
15×	`*-un-lft-identity` `add-cube-cbrt`
11×	`sqrt-pow1` `pow1/2`
8×	`swap-sqr`
6×	`add-cbrt-cube` `associate-r` `associate-l` `add-exp-log`
5×	`pow-prod-up`
4×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp` `unswap-sqr`
3×	`rem-sqrt-square` `pow-prod-down` `pow-sqr`
1×	`pow2` `rem-square-sqrt` `pow-plus` `sqrt-unprod` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 96

Calls

4 calls:

14.0ms	(sqrt (sin (pow (sqrt (atan2 b b)) (- b a))))
60.0ms	(* (sqrt (sin (pow (sqrt (atan2 b b)) (- b a)))) (sqrt (sin (pow (sqrt (atan2 b b)) (- b a)))))
1.0ms	(sqrt (atan2 b b))
1.0ms	(sqrt (atan2 b b))

series251.0ms

Counts

4 → 12

Calls

4 calls:

144.0ms	(sqrt (sin (pow (sqrt (atan2 b b)) (- b a))))
81.0ms	(* (sqrt (sin (pow (sqrt (atan2 b b)) (- b a)))) (sqrt (sin (pow (sqrt (atan2 b b)) (- b a)))))
11.0ms	(sqrt (atan2 b b))
14.0ms	(sqrt (atan2 b b))

simplify1.9s

Counts

108 → 108

Iterations

Iter	Nodes
done	5002
3	1208
2	404
1	173
0	89

prune519.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes219.0ms

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

2.5s	1844×	body	10240	exit
1.1s	9834×	body	80	nan
1.0s	7986×	body	80	valid
12.0ms	5×	body	2560	valid
5.0ms	1×	body	5120	valid
2.0ms	2×	body	1280	valid
2.0ms	2×	body	640	valid
1.0ms	3×	body	320	valid
0.0ms	1×	body	160	valid