Details

sample120.0ms

Algorithm

intervals

Results

42.0ms	51×	body	10240	exit
25.0ms	292×	body	80	nan
24.0ms	256×	body	80	valid

simplify4.1s

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	9
1	13	9
2	22	9
3	45	9
4	115	9
5	268	9
6	834	9
7	3197	9
done	5001	9

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize18.0ms

Local error

Found 3 expressions with local error:

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

rewrite37.0ms

Algorithm

rewrite-expression-head

Rules

10×	`add-sqr-sqrt`
9×	`*-un-lft-identity`
7×	`add-cube-cbrt`
6×	`pow1` `unpow-prod-down` `sqrt-prod`
5×	`pow-unpow`
4×	`add-exp-log`
3×	`pow-pow` `add-cbrt-cube` `add-log-exp`
2×	`unpow-prod-up` `sqrt-pow1` `pow1/2`
1×	`pow-to-exp` `sub-neg` `rem-sqrt-square` `pow-exp` `sqrt-pow2` `distribute-lft-out--` `pow-sub` `difference-of-squares` `sqr-pow`

Counts

3 → 48

Calls

3 calls:

14.0ms	(pow (sqrt (atan2 b b)) (- b a))
19.0ms	(sin (pow (sqrt (atan2 b b)) (- b a)))
3.0ms	(sqrt (atan2 b b))

series177.0ms

Counts

3 → 9

Calls

3 calls:

33.0ms	(pow (sqrt (atan2 b b)) (- b a))
123.0ms	(sin (pow (sqrt (atan2 b b)) (- b a)))
20.0ms	(sqrt (atan2 b b))

simplify2.6s

Counts

57 → 57

Iterations

Useful iterations: 3 (279.0ms)

Iter	Nodes	Cost
0	75	614
1	147	571
2	337	536
3	843	527
4	2738	527
done	5000	527

prune214.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize35.0ms

Local error

Found 4 expressions with local error:

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

rewrite43.0ms

Algorithm

rewrite-expression-head

Rules

12×	`add-sqr-sqrt` `*-un-lft-identity`
10×	`add-cube-cbrt`
9×	`cbrt-prod` `unpow-prod-down`
6×	`pow1` `sqrt-prod`
5×	`add-exp-log` `pow-unpow`
4×	`pow-pow` `add-cbrt-cube` `add-log-exp`
3×	`pow1/3`
2×	`unpow-prod-up` `sqrt-pow1`
1×	`pow-to-exp` `sub-neg` `pow1/2` `pow-exp` `sqrt-pow2` `distribute-lft-out--` `pow-sub` `difference-of-squares` `sqr-pow`

Counts

4 → 61

Calls

4 calls:

26.0ms	(sin (* (pow (fabs (cbrt (atan2 b b))) (- b a)) (pow (sqrt (cbrt (atan2 b b))) (- b a))))
12.0ms	(pow (sqrt (cbrt (atan2 b b))) (- b a))
2.0ms	(cbrt (atan2 b b))
2.0ms	(cbrt (atan2 b b))

series586.0ms

Counts

4 → 12

Calls

4 calls:

240.0ms	(sin (* (pow (fabs (cbrt (atan2 b b))) (- b a)) (pow (sqrt (cbrt (atan2 b b))) (- b a))))
35.0ms	(pow (sqrt (cbrt (atan2 b b))) (- b a))
131.0ms	(cbrt (atan2 b b))
180.0ms	(cbrt (atan2 b b))

simplify1.5s

Counts

73 → 73

Iterations

Useful iterations: done (1.5s)

Iter	Nodes	Cost
0	114	985
1	225	930
2	566	840
3	1603	829
done	5000	812

prune376.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize23.0ms

Local error

Found 4 expressions with local error:

0.0b	(sin (pow (sqrt (atan2 b b)) (- b a)))
0.0b	(pow (sin (pow (sqrt (atan2 b b)) (- b a))) 3)
0.0b	(cbrt (pow (sin (pow (sqrt (atan2 b b)) (- b a))) 3))
1.0b	(sqrt (atan2 b b))

rewrite52.0ms

Algorithm

rewrite-expression-head

Rules

12×	`cbrt-prod` `add-sqr-sqrt`
11×	`add-cube-cbrt` `*-un-lft-identity`
6×	`pow1` `unpow-prod-down` `cube-prod`
5×	`add-exp-log` `add-cbrt-cube`
4×	`add-log-exp`
3×	`pow-unpow` `sqrt-prod`
2×	`cube-mult` `unpow3` `sqr-pow`
1×	`pow-to-exp` `rem-sqrt-square` `pow-pow` `sqrt-pow1` `pow1/2` `pow1/3` `pow-exp` `rem-cbrt-cube` `rem-cube-cbrt`

Counts

4 → 64

Calls

4 calls:

10.0ms	(sin (pow (sqrt (atan2 b b)) (- b a)))
21.0ms	(pow (sin (pow (sqrt (atan2 b b)) (- b a))) 3)
17.0ms	(cbrt (pow (sin (pow (sqrt (atan2 b b)) (- b a))) 3))
2.0ms	(sqrt (atan2 b b))

series418.0ms

Counts

4 → 12

Calls

4 calls:

118.0ms	(sin (pow (sqrt (atan2 b b)) (- b a)))
198.0ms	(pow (sin (pow (sqrt (atan2 b b)) (- b a))) 3)
89.0ms	(cbrt (pow (sin (pow (sqrt (atan2 b b)) (- b a))) 3))
13.0ms	(sqrt (atan2 b b))

simplify2.9s

Counts

76 → 76

Iterations

Useful iterations: 3 (732.0ms)

Iter	Nodes	Cost
0	86	1192
1	180	1008
2	487	900
3	2679	868
done	5000	868

prune260.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes160.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify3.0ms

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	11	20
1	12	20
done	12	20

end0.0ms

sample5.2s

Algorithm

intervals

Results

1.5s	1741×	body	10240	exit
1.5s	10018×	body	80	nan
1.3s	7987×	body	80	valid
3.0ms	2×	body	2560	valid
1.0ms	4×	body	320	valid
1.0ms	6×	body	160	valid
0.0ms	1×	body	640	valid