Details

sample130.0ms

Algorithm

intervals

Results

43.0ms	292×	body	80	nan
35.0ms	51×	body	10240	exit
28.0ms	256×	body	80	valid

simplify3.8s

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	274	9
6	837	9
7	3217	9
done	5001	9

prune13.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize22.0ms

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))

rewrite49.0ms

Algorithm

rewrite-expression-head

Rules

16×	`add-sqr-sqrt`
15×	`*-un-lft-identity`
13×	`add-cube-cbrt`
11×	`unpow-prod-up`
9×	`prod-diff`
6×	`pow1` `unpow-prod-down` `sqrt-prod`
5×	`pow-unpow`
4×	`add-exp-log`
3×	`expm1-log1p-u` `pow-pow` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp`
2×	`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 → 63

Calls

3 calls:

16.0ms	(pow (sqrt (atan2 b b)) (- b a))
25.0ms	(sin (pow (sqrt (atan2 b b)) (- b a)))
3.0ms	(sqrt (atan2 b b))

series154.0ms

Counts

3 → 9

Calls

3 calls:

25.0ms	(pow (sqrt (atan2 b b)) (- b a))
107.0ms	(sin (pow (sqrt (atan2 b b)) (- b a)))
21.0ms	(sqrt (atan2 b b))

simplify4.1s

Counts

72 → 72

Iterations

Useful iterations: 4 (2.8s)

Iter	Nodes	Cost
0	117	962
1	246	836
2	485	757
3	1274	728
4	4144	699
done	5000	699

prune262.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize22.0ms

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))

rewrite84.0ms

Algorithm

rewrite-expression-head

Rules

18×	`add-sqr-sqrt` `*-un-lft-identity`
16×	`add-cube-cbrt`
11×	`unpow-prod-up`
9×	`cbrt-prod` `unpow-prod-down` `prod-diff`
6×	`pow1` `sqrt-prod`
5×	`add-exp-log` `pow-unpow`
4×	`expm1-log1p-u` `pow-pow` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp`
3×	`pow1/3`
2×	`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 → 78

Calls

4 calls:

58.0ms	(sin (* (pow (fabs (cbrt (atan2 b b))) (- b a)) (pow (sqrt (cbrt (atan2 b b))) (- b a))))
18.0ms	(pow (sqrt (cbrt (atan2 b b))) (- b a))
1.0ms	(cbrt (atan2 b b))
2.0ms	(cbrt (atan2 b b))

series571.0ms

Counts

4 → 12

Calls

4 calls:

206.0ms	(sin (* (pow (fabs (cbrt (atan2 b b))) (- b a)) (pow (sqrt (cbrt (atan2 b b))) (- b a))))
43.0ms	(pow (sqrt (cbrt (atan2 b b))) (- b a))
157.0ms	(cbrt (atan2 b b))
166.0ms	(cbrt (atan2 b b))

simplify2.3s

Counts

90 → 90

Iterations

Useful iterations: done (2.2s)

Iter	Nodes	Cost
0	156	1385
1	326	1245
2	725	1114
3	2194	1081
done	5001	1036

prune483.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize29.0ms

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))

rewrite71.0ms

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×	`expm1-log1p-u` `log1p-expm1-u` `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 → 72

Calls

4 calls:

17.0ms	(sin (pow (sqrt (atan2 b b)) (- b a)))
25.0ms	(pow (sin (pow (sqrt (atan2 b b)) (- b a))) 3)
24.0ms	(cbrt (pow (sin (pow (sqrt (atan2 b b)) (- b a))) 3))
3.0ms	(sqrt (atan2 b b))

series382.0ms

Counts

4 → 12

Calls

4 calls:

82.0ms	(sin (pow (sqrt (atan2 b b)) (- b a)))
183.0ms	(pow (sin (pow (sqrt (atan2 b b)) (- b a))) 3)
104.0ms	(cbrt (pow (sin (pow (sqrt (atan2 b b)) (- b a))) 3))
13.0ms	(sqrt (atan2 b b))

simplify3.1s

Counts

84 → 84

Iterations

Useful iterations: done (3.0s)

Iter	Nodes	Cost
0	94	1272
1	189	1079
2	514	971
3	2783	942
done	5001	939

prune342.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes127.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (1.0ms)

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

end0.0ms

sample4.9s

Algorithm

intervals

Results

1.6s	1741×	body	10240	exit
1.5s	10018×	body	80	nan
1.3s	7987×	body	80	valid
4.0ms	2×	body	2560	valid
1.0ms	4×	body	320	valid
1.0ms	6×	body	160	valid
1.0ms	1×	body	640	valid