Details

sample152.0ms

Algorithm

intervals

Results

52.0ms	54×	body	10240	exit
37.0ms	303×	body	80	nan
31.0ms	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

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize28.0ms

Local error

Found 2 expressions with local error:

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

rewrite23.0ms

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:

20.0ms	(sin (pow (sqrt (atan2 b b)) (- b a)))
2.0ms	(sqrt (atan2 b b))

series130.0ms

Counts

2 → 6

Calls

2 calls:

109.0ms	(sin (pow (sqrt (atan2 b b)) (- b a)))
20.0ms	(sqrt (atan2 b b))

simplify1.9s

Counts

26 → 26

Iterations

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

prune142.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize24.0ms

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×	`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 → 88

Calls

4 calls:

10.0ms	(sqrt (sin (pow (sqrt (atan2 b b)) (- b a))))
63.0ms	(* (sqrt (sin (pow (sqrt (atan2 b b)) (- b a)))) (sqrt (sin (pow (sqrt (atan2 b b)) (- b a)))))
2.0ms	(sqrt (atan2 b b))
2.0ms	(sqrt (atan2 b b))

series281.0ms

Counts

4 → 12

Calls

4 calls:

167.0ms	(sqrt (sin (pow (sqrt (atan2 b b)) (- b a))))
83.0ms	(* (sqrt (sin (pow (sqrt (atan2 b b)) (- b a)))) (sqrt (sin (pow (sqrt (atan2 b b)) (- b a)))))
18.0ms	(sqrt (atan2 b b))
13.0ms	(sqrt (atan2 b b))

simplify4.9s

Counts

100 → 100

Iterations

Iter	Nodes
done	5074
4	4665
3	1127
2	400
1	166
0	83

prune486.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes162.0ms

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

sample5.2s

Algorithm

intervals

Results

2.0s	1844×	body	10240	exit
1.7s	9834×	body	80	nan
928.0ms	7986×	body	80	valid
10.0ms	5×	body	2560	valid
3.0ms	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