Details

sample313.0ms

Algorithm

intervals

Results

23.0ms	50×	body	10240	exit
16.0ms	256×	body	80	valid
12.0ms	282×	body	80	nan

simplify57.0ms

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	1609	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

localize10.0ms

Local error

Found 2 expressions with local error:

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

rewrite10.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 41

Calls

2 calls:

5.0ms	(pow (sqrt (atan2 b b)) (- b a))
3.0ms	(sqrt (atan2 b b))

series57.0ms

Counts

2 → 6

Calls

2 calls:

22.0ms	(pow (sqrt (atan2 b b)) (- b a))
35.0ms	(sqrt (atan2 b b))

simplify40.0ms

Algorithm

egg-herbie

Counts

47 → 47

Iterations

Useful iterations: 3 (35.0ms)

Iter	Nodes	Cost
0	120	239
1	357	224
2	1225	224
3	5001	222

prune99.0ms

Filtered

47 candidates to 28 candidates (59.6%)

Pruning

1 alts after pruning (1 fresh and 0 done)

	Pruned	Kept	Total
New	46	1	47
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	47	1	48

Merged error: 0b

Counts

48 → 1

localize11.0ms

Local error

Found 4 expressions with local error:

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

rewrite16.0ms

Algorithm

rewrite-expression-head

Rules

24×	`sqrt-prod`
20×	`add-sqr-sqrt`
18×	`unpow-prod-down` `*-un-lft-identity`
14×	`add-cube-cbrt`
12×	`pow1`
10×	`pow-unpow` `pow-pow` `sqrt-pow1`
6×	`add-exp-log` `pow1/2`
4×	`unpow-prod-up` `add-cbrt-cube` `add-log-exp`
2×	`pow-to-exp` `sub-neg` `rem-sqrt-square` `pow-exp` `sqrt-pow2` `distribute-lft-out--` `pow-sub` `difference-of-squares` `sqr-pow`

Counts

4 → 92

Calls

4 calls:

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

series75.0ms

Counts

4 → 12

Calls

4 calls:

26.0ms	(pow (sqrt (sqrt (atan2 b b))) (- b a))
29.0ms	(pow (sqrt (sqrt (atan2 b b))) (- b a))
9.0ms	(sqrt (atan2 b b))
10.0ms	(sqrt (atan2 b b))

simplify52.0ms

Algorithm

egg-herbie

Counts

104 → 104

Iterations

Useful iterations: 3 (44.0ms)

Iter	Nodes	Cost
0	160	630
1	454	596
2	1640	588
3	5002	584

prune252.0ms

Filtered

104 candidates to 62 candidates (59.6%)

Pruning

1 alts after pruning (0 fresh and 1 done)

	Pruned	Kept	Total
New	104	0	104
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	104	1	105

Merged error: 0b

Counts

105 → 1

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	12

end0.0ms

sample2.0s

Algorithm

intervals

Results

797.0ms	1850×	body	10240	exit
472.0ms	7992×	body	80	valid
388.0ms	9893×	body	80	nan
5.0ms	2×	body	5120	valid
3.0ms	2×	body	2560	valid
1.0ms	2×	body	640	valid
0.0ms	2×	body	160	valid