Details

sample99.0ms

Algorithm

intervals

Results

31.0ms	67×	body	10240	exit
27.0ms	340×	body	80	nan
23.0ms	256×	body	80	valid

simplify51.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	13	5
1	22	5
2	44	5
3	114	5
4	321	5
5	1627	5
6	5001	5

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 2 expressions with local error:

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

rewrite7.0ms

Algorithm

rewrite-expression-head

Rules

4×	`add-sqr-sqrt`
3×	`pow1` `add-cube-cbrt` `*-un-lft-identity` `sqrt-prod`
2×	`add-exp-log` `expm1-log1p-u` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp`
1×	`rem-sqrt-square` `sqrt-pow1` `pow1/2`

Counts

2 → 24

Calls

2 calls:

6.0ms	(sin (pow (sqrt (atan2 b b)) (- b a)))
1.0ms	(sqrt (atan2 b b))

series70.0ms

Counts

2 → 6

Calls

2 calls:

59.0ms	(sin (pow (sqrt (atan2 b b)) (- b a)))
10.0ms	(sqrt (atan2 b b))

simplify65.0ms

Algorithm

egg-herbie

Counts

30 → 30

Iterations

Useful iterations: 6 (62.0ms)

Iter	Nodes	Cost
0	65	150
1	112	137
2	200	132
3	372	131
4	681	131
5	2254	131
6	5001	130

prune73.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b	(log1p (sin (pow (sqrt (atan2 b b)) (- b a))))
0.0b	(sin (pow (sqrt (atan2 b b)) (- b a)))
0.0b	(expm1 (log1p (sin (pow (sqrt (atan2 b b)) (- b a)))))
1.0b	(sqrt (atan2 b b))

rewrite8.0ms

Algorithm

rewrite-expression-head

Rules

6×	`add-sqr-sqrt`
5×	`pow1` `expm1-log1p-u` `add-cube-cbrt` `*-un-lft-identity`
4×	`add-exp-log` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp`
3×	`sqrt-prod`
1×	`rem-sqrt-square` `log1p-udef` `expm1-log1p` `sqrt-pow1` `pow1/2` `log1p-expm1` `expm1-udef`

Counts

4 → 46

Calls

4 calls:

0.0ms	(log1p (sin (pow (sqrt (atan2 b b)) (- b a))))
6.0ms	(sin (pow (sqrt (atan2 b b)) (- b a)))
0.0ms	(expm1 (log1p (sin (pow (sqrt (atan2 b b)) (- b a)))))
1.0ms	(sqrt (atan2 b b))

series249.0ms

Counts

4 → 12

Calls

4 calls:

93.0ms	(log1p (sin (pow (sqrt (atan2 b b)) (- b a))))
57.0ms	(sin (pow (sqrt (atan2 b b)) (- b a)))
90.0ms	(expm1 (log1p (sin (pow (sqrt (atan2 b b)) (- b a)))))
10.0ms	(sqrt (atan2 b b))

simplify90.0ms

Algorithm

egg-herbie

Counts

58 → 58

Iterations

Useful iterations: 6 (85.0ms)

Iter	Nodes	Cost
0	104	379
1	188	338
2	350	326
3	748	321
4	1316	319
5	3279	314
6	5001	313

prune154.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes68.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	5

end0.0ms

sample2.7s

Algorithm

intervals

Results

864.0ms	1807×	body	10240	exit
729.0ms	7994×	body	80	valid
712.0ms	9777×	body	80	nan
3.0ms	1×	body	5120	valid
2.0ms	3×	body	1280	valid
0.0ms	1×	body	640	valid
0.0ms	1×	body	160	valid