Details

sample319.0ms

Algorithm

intervals

Results

31.0ms	62×	body	10240	exit
16.0ms	256×	body	80	valid
12.0ms	337×	body	80	nan

simplify54.0ms

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	315	5
5	1600	5
6	5001	5

prune4.0ms

Filtered

1 candidates to 0 candidates (0.0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Kept	Total
New	1	1
Fresh	1	1
Picked	0	0
Done	0	0
Total	2	2

Merged error: 0.0b

Counts

2 → 1

localize11.0ms

Local error

Found 3 expressions with local error:

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

rewrite10.0ms

Algorithm

rewrite-expression-head

Rules

2×	`unpow-prod-up` `pow1/2`
1×	`pow-to-exp` `sub-neg` `pow-pow` `sqrt-pow2` `pow-sub` `sqr-pow`

Counts

3 → 8

Calls

3 calls:

3.0ms	(sin (pow (sqrt (atan2 b b)) (- b a)))
4.0ms	(pow (sqrt (atan2 b b)) (- b a))
2.0ms	(sqrt (atan2 b b))

series112.0ms

Counts

3 → 9

Calls

3 calls:

58.0ms	(sin (pow (sqrt (atan2 b b)) (- b a)))
24.0ms	(pow (sqrt (atan2 b b)) (- b a))
31.0ms	(sqrt (atan2 b b))

simplify53.0ms

Algorithm

egg-herbie

Counts

17 → 17

Iterations

Useful iterations: 2 (6.0ms)

Iter	Nodes	Cost
0	68	88
1	145	84
2	283	78
3	615	78
4	1718	78
5	5002	78

prune31.0ms

Filtered

17 candidates to 8 candidates (47.1%)

Pruning

1 alts after pruning (1 fresh and 0 done)

	Pruned	Kept	Total
New	16	1	17
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	17	1	18

Merged error: 0.0b

Counts

18 → 1

localize9.0ms

Local error

Found 2 expressions with local error:

0.0b	(sin (pow (atan2 b b) (/ (- b a) 2)))
0.0b	(pow (atan2 b b) (/ (- b a) 2))

rewrite5.0ms

Algorithm

rewrite-expression-head

Rules

1×	`pow-to-exp` `pow-unpow` `div-sub` `div-inv` `pow-sub` `sqr-pow`

Counts

2 → 4

Calls

2 calls:

2.0ms	(sin (pow (atan2 b b) (/ (- b a) 2)))
3.0ms	(pow (atan2 b b) (/ (- b a) 2))

series81.0ms

Counts

2 → 6

Calls

2 calls:

61.0ms	(sin (pow (atan2 b b) (/ (- b a) 2)))
20.0ms	(pow (atan2 b b) (/ (- b a) 2))

simplify115.0ms

Algorithm

egg-herbie

Counts

10 → 10

Iterations

Useful iterations: 4 (38.0ms)

Iter	Nodes	Cost
0	92	75
1	224	75
2	546	61
3	1152	61
4	4201	59
5	5002	59

prune19.0ms

Filtered

10 candidates to 6 candidates (60.0%)

Pruning

1 alts after pruning (0 fresh and 1 done)

	Pruned	Kept	Total
New	10	0	10
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	10	1	11

Merged error: 0.0b

Counts

11 → 1

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	5

end0.0ms

sample2.0s

Algorithm

intervals

Results

782.0ms	1803×	body	10240	exit
456.0ms	7991×	body	80	valid
362.0ms	9611×	body	80	nan
6.0ms	2×	body	5120	valid
3.0ms	2×	body	2560	valid
1.0ms	2×	body	1280	valid
1.0ms	2×	body	160	valid
0.0ms	1×	body	320	valid