Details

sample12.0ms

Algorithm

intervals

Results

5.0ms	249×	body	80	valid
0.0ms	2×	body	2560	valid
0.0ms	2×	body	1280	valid
0.0ms	2×	body	640	valid
0.0ms	1×	body	160	valid

simplify5.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	10	4
1	11	4
2	11	4

prune2.0ms

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

localize5.0ms

Local error

Found 1 expressions with local error:

0.0b	(+ x (/ (fabs (- y x)) 2.0))

rewrite2.0ms

Algorithm

rewrite-expression-head

Rules

1×	`+-commutative` `flip3-+` `flip-+`

Counts

1 → 3

Calls

1 calls:

2.0ms

(+ x (/ (fabs (- y x)) 2.0))

series16.0ms

Counts

1 → 3

Calls

1 calls:

16.0ms

(+ x (/ (fabs (- y x)) 2.0))

simplify116.0ms

Algorithm

egg-herbie

Counts

6 → 6

Iterations

Useful iterations: 1 (3.0ms)

Iter	Nodes	Cost
0	56	41
1	125	37
2	247	37
3	507	37
4	1419	37
5	3666	37
6	5001	37

prune15.0ms

Filtered

6 candidates to 4 candidates (66.7%)

Pruning

2 alts after pruning (1 fresh and 1 done)

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

Merged error: 0.0b

Counts

7 → 2

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b	(- x (/ (fabs (- y x)) 2.0))
0.0b	(* (/ (fabs (- y x)) 2.0) (/ (fabs (- y x)) 2.0))
11.6b	(- (* x x) (* (/ (fabs (- y x)) 2.0) (/ (fabs (- y x)) 2.0)))
29.3b	(/ (- (* x x) (* (/ (fabs (- y x)) 2.0) (/ (fabs (- y x)) 2.0))) (- x (/ (fabs (- y x)) 2.0)))

rewrite22.0ms

Algorithm

rewrite-expression-head

Rules

17×	`*-commutative`
13×	`div-inv`
10×	`prod-diff` `clear-num`
9×	`frac-times` `frac-2neg`
8×	`difference-of-squares`
4×	`flip3--` `flip--` `associate-/l*`
3×	`associate-r/` `swap-sqr` `associate-r` `associate-l` `associate-l/`
2×	`sub-neg` `fma-neg` `associate-/r/` `associate-/l/`
1×	`pow2` `div-sub` `un-div-inv`

Counts

4 → 57

Calls

4 calls:

2.0ms	(- x (/ (fabs (- y x)) 2.0))
4.0ms	(* (/ (fabs (- y x)) 2.0) (/ (fabs (- y x)) 2.0))
6.0ms	(- (* x x) (* (/ (fabs (- y x)) 2.0) (/ (fabs (- y x)) 2.0)))
9.0ms	(/ (- (* x x) (* (/ (fabs (- y x)) 2.0) (/ (fabs (- y x)) 2.0))) (- x (/ (fabs (- y x)) 2.0)))

series113.0ms

Counts

4 → 12

Calls

4 calls:

18.0ms	(- x (/ (fabs (- y x)) 2.0))
18.0ms	(* (/ (fabs (- y x)) 2.0) (/ (fabs (- y x)) 2.0))
27.0ms	(- (* x x) (* (/ (fabs (- y x)) 2.0) (/ (fabs (- y x)) 2.0)))
51.0ms	(/ (- (* x x) (* (/ (fabs (- y x)) 2.0) (/ (fabs (- y x)) 2.0))) (- x (/ (fabs (- y x)) 2.0)))

simplify41.0ms

Algorithm

egg-herbie

Counts

69 → 69

Iterations

Useful iterations: 2 (34.0ms)

Iter	Nodes	Cost
0	269	677
1	1252	540
2	5002	527

prune101.0ms

Filtered

69 candidates to 35 candidates (50.7%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	68	1	69
Fresh	0	0	0
Picked	1	0	1
Done	0	1	1
Total	69	2	71

Merged error: 0.0b

Counts

71 → 2

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (/ (fabs (- y x)) 2.0) (/ (fabs (- y x)) 2.0))
0.1b	(/ 1 (- x (/ (fabs (- y x)) 2.0)))
11.6b	(- (* x x) (* (/ (fabs (- y x)) 2.0) (/ (fabs (- y x)) 2.0)))
29.3b	(* (- (* x x) (* (/ (fabs (- y x)) 2.0) (/ (fabs (- y x)) 2.0))) (/ 1 (- x (/ (fabs (- y x)) 2.0))))

rewrite23.0ms

Algorithm

rewrite-expression-head

Rules

18×	`*-commutative`
15×	`frac-times`
14×	`clear-num` `div-inv`
12×	`frac-2neg`
10×	`prod-diff`
8×	`difference-of-squares`
7×	`flip3--` `associate-l` `flip--`
6×	`associate-r/` `associate-r*`
5×	`associate-*l/`
4×	`associate-/r/`
3×	`swap-sqr` `un-div-inv`
2×	`fma-neg`
1×	`pow2` `sub-neg` `inv-pow`

Counts

4 → 68

Calls

4 calls:

4.0ms	(* (/ (fabs (- y x)) 2.0) (/ (fabs (- y x)) 2.0))
3.0ms	(/ 1 (- x (/ (fabs (- y x)) 2.0)))
6.0ms	(- (* x x) (* (/ (fabs (- y x)) 2.0) (/ (fabs (- y x)) 2.0)))
9.0ms	(* (- (* x x) (* (/ (fabs (- y x)) 2.0) (/ (fabs (- y x)) 2.0))) (/ 1 (- x (/ (fabs (- y x)) 2.0))))

series116.0ms

Counts

4 → 12

Calls

4 calls:

18.0ms	(* (/ (fabs (- y x)) 2.0) (/ (fabs (- y x)) 2.0))
19.0ms	(/ 1 (- x (/ (fabs (- y x)) 2.0)))
31.0ms	(- (* x x) (* (/ (fabs (- y x)) 2.0) (/ (fabs (- y x)) 2.0)))
48.0ms	(* (- (* x x) (* (/ (fabs (- y x)) 2.0) (/ (fabs (- y x)) 2.0))) (/ 1 (- x (/ (fabs (- y x)) 2.0))))

simplify87.0ms

Algorithm

egg-herbie

Counts

80 → 80

Iterations

Useful iterations: 2 (79.0ms)

Iter	Nodes	Cost
0	319	895
1	1943	713
2	5001	708

prune167.0ms

Filtered

80 candidates to 45 candidates (56.3%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	80	0	80
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	80	2	82

Merged error: 0.0b

Counts

82 → 2

regimes42.0ms

Accuracy

0% (0.0b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	4
1	8	4

end0.0ms

sample333.0ms

Algorithm

intervals

Results

170.0ms	7698×	body	80	valid
10.0ms	97×	body	1280	valid
7.0ms	88×	body	640	valid
6.0ms	48×	body	2560	valid
3.0ms	43×	body	320	valid
1.0ms	27×	body	160	valid