Details

sample327.0ms

Algorithm

intervals

Results

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

simplify58.0ms

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

localize12.0ms

Local error

Found 2 expressions with local error:

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

rewrite8.0ms

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

2 → 8

Calls

2 calls:

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

series54.0ms

Counts

2 → 6

Calls

2 calls:

37.0ms	(pow (sqrt (atan2 b b)) (- b a))
17.0ms	(sqrt (atan2 b b))

simplify50.0ms

Algorithm

egg-herbie

Counts

14 → 14

Iterations

Useful iterations: 1 (3.0ms)

Iter	Nodes	Cost
0	48	63
1	99	59
2	207	59
3	522	59
4	1631	59
5	5001	59

prune24.0ms

Filtered

14 candidates to 7 candidates (50.0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

	Pruned	Kept	Total
New	13	1	14
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	14	1	15

Merged error: 0.0b

Counts

15 → 1

localize9.0ms

Local error

Found 1 expressions with local error:

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

rewrite3.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

1 → 4

Calls

1 calls:

3.0ms

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

series27.0ms

Counts

1 → 3

Calls

1 calls:

27.0ms

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

simplify90.0ms

Algorithm

egg-herbie

Counts

7 → 7

Iterations

Useful iterations: 4 (26.0ms)

Iter	Nodes	Cost
0	65	46
1	147	46
2	348	38
3	821	38
4	3528	36
5	5001	36

prune18.0ms

Filtered

7 candidates to 5 candidates (71.4%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	5	2	7
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	6	2	8

Merged error: 0.0b

Counts

8 → 2

localize10.0ms

Local error

Found 2 expressions with local error:

0.0b	(pow (atan2 b b) (/ (- b a) 4))
0.0b	(pow (atan2 b b) (/ (- b a) 4))

rewrite6.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 8

Calls

2 calls:

3.0ms	(pow (atan2 b b) (/ (- b a) 4))
3.0ms	(pow (atan2 b b) (/ (- b a) 4))

series42.0ms

Counts

2 → 6

Calls

2 calls:

22.0ms	(pow (atan2 b b) (/ (- b a) 4))
20.0ms	(pow (atan2 b b) (/ (- b a) 4))

simplify88.0ms

Algorithm

egg-herbie

Counts

14 → 14

Iterations

Useful iterations: 4 (25.0ms)

Iter	Nodes	Cost
0	67	92
1	158	92
2	386	76
3	841	76
4	2730	72
5	5003	72

prune35.0ms

Filtered

14 candidates to 10 candidates (71.4%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	14	0	14
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	14	2	16

Merged error: 0.0b

Counts

16 → 2

localize10.0ms

Local error

Found 2 expressions with local error:

0.0b	(pow (pow (atan2 b b) (- b a)) (/ 1 2))
0.0b	(pow (atan2 b b) (- b a))

rewrite6.0ms

Algorithm

rewrite-expression-head

Rules

4×	`unpow-prod-up`
3×	`pow-to-exp` `unpow-prod-down` `sqr-pow`
2×	`sub-neg`
1×	`pow-unpow` `pow-pow` `pow-exp` `div-inv` `pow-sub`

Counts

2 → 13

Calls

2 calls:

3.0ms	(pow (pow (atan2 b b) (- b a)) (/ 1 2))
2.0ms	(pow (atan2 b b) (- b a))

series62.0ms

Counts

2 → 6

Calls

2 calls:

42.0ms	(pow (pow (atan2 b b) (- b a)) (/ 1 2))
19.0ms	(pow (atan2 b b) (- b a))

simplify180.0ms

Algorithm

egg-herbie

Counts

19 → 19

Iterations

Useful iterations: 2 (9.0ms)

Iter	Nodes	Cost
0	104	109
1	272	102
2	927	98
3	4505	98
4	5001	98

prune37.0ms

Filtered

19 candidates to 11 candidates (57.9%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	19	0	19
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	19	2	21

Merged error: 0.0b

Counts

21 → 2

regimes30.0ms

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	9	10

end0.0ms

sample2.0s

Algorithm

intervals

Results

810.0ms	1850×	body	10240	exit
474.0ms	7992×	body	80	valid
362.0ms	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