Details

sample99.0ms

Algorithm

intervals

Results

31.0ms	51×	body	10240	exit
22.0ms	256×	body	80	valid
21.0ms	292×	body	80	nan

simplify3.6s

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

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize20.0ms

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))

rewrite32.0ms

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:

9.0ms	(pow (sqrt (atan2 b b)) (- b a))
13.0ms	(sin (pow (sqrt (atan2 b b)) (- b a)))
3.0ms	(sqrt (atan2 b b))

series143.0ms

Counts

3 → 9

Calls

3 calls:

27.0ms	(pow (sqrt (atan2 b b)) (- b a))
105.0ms	(sin (pow (sqrt (atan2 b b)) (- b a)))
12.0ms	(sqrt (atan2 b b))

simplify4.5s

Counts

72 → 72

Iterations

Useful iterations: 4 (2.7s)

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

prune232.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize18.0ms

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))

rewrite66.0ms

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:

49.0ms	(sin (* (pow (fabs (cbrt (atan2 b b))) (- b a)) (pow (sqrt (cbrt (atan2 b b))) (- b a))))
10.0ms	(pow (sqrt (cbrt (atan2 b b))) (- b a))
1.0ms	(cbrt (atan2 b b))
1.0ms	(cbrt (atan2 b b))

series539.0ms

Counts

4 → 12

Calls

4 calls:

196.0ms	(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))
149.0ms	(cbrt (atan2 b b))
156.0ms	(cbrt (atan2 b b))

simplify2.2s

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

prune422.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize15.0ms

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))

rewrite62.0ms

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:

22.0ms	(sin (pow (sqrt (atan2 b b)) (- b a)))
13.0ms	(pow (sin (pow (sqrt (atan2 b b)) (- b a))) 3)
20.0ms	(cbrt (pow (sin (pow (sqrt (atan2 b b)) (- b a))) 3))
3.0ms	(sqrt (atan2 b b))

series380.0ms

Counts

4 → 12

Calls

4 calls:

91.0ms	(sin (pow (sqrt (atan2 b b)) (- b a)))
166.0ms	(pow (sin (pow (sqrt (atan2 b b)) (- b a))) 3)
102.0ms	(cbrt (pow (sin (pow (sqrt (atan2 b b)) (- b a))) 3))
20.0ms	(sqrt (atan2 b b))

simplify3.0s

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

prune325.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes132.0ms

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 (0.0ms)

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

end0.0ms

sample5.2s

Algorithm

intervals

Results

1.9s	1741×	body	10240	exit
1.5s	10018×	body	80	nan
1.1s	7987×	body	80	valid
10.0ms	2×	body	2560	valid
2.0ms	4×	body	320	valid
1.0ms	6×	body	160	valid
1.0ms	1×	body	640	valid