Details

sample22.0ms

Algorithm

intervals

Results

9.0ms	251×	body	80	valid
0.0ms	2×	body	640	valid
0.0ms	1×	body	2560	valid
0.0ms	1×	body	1280	valid
0.0ms	1×	body	160	valid

simplify8.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

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

prune3.0ms

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

localize6.0ms

Local error

Found 1 expressions with local error:

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

rewrite3.0ms

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))

simplify117.0ms

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

prune17.0ms

Filtered

6 candidates to 4 candidates (66.7%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	4	2	6
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	4	3	7

Merged error: 0.0b

Counts

7 → 3

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (/ (fabs (- y x)) 2.0) (/ (fabs (- y x)) 2.0))
0.0b	(- x (/ (fabs (- y x)) 2.0))
14.4b	(- (* x x) (* (/ (fabs (- y x)) 2.0) (/ (fabs (- y x)) 2.0)))
31.5b	(/ (- (* 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:

4.0ms	(* (/ (fabs (- y x)) 2.0) (/ (fabs (- y x)) 2.0))
2.0ms	(- x (/ (fabs (- y x)) 2.0))
6.0ms	(- (* x x) (* (/ (fabs (- y x)) 2.0) (/ (fabs (- y x)) 2.0)))
8.0ms	(/ (- (* x x) (* (/ (fabs (- y x)) 2.0) (/ (fabs (- y x)) 2.0))) (- x (/ (fabs (- y x)) 2.0)))

series112.0ms

Counts

4 → 12

Calls

4 calls:

18.0ms	(* (/ (fabs (- y x)) 2.0) (/ (fabs (- y x)) 2.0))
18.0ms	(- x (/ (fabs (- y x)) 2.0))
29.0ms	(- (* 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))) (- x (/ (fabs (- y x)) 2.0)))

simplify42.0ms

Algorithm

egg-herbie

Counts

69 → 69

Iterations

Useful iterations: 2 (35.0ms)

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

prune107.0ms

Filtered

69 candidates to 35 candidates (50.7%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	69	0	69
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	69	3	72

Merged error: 0.0b

Counts

72 → 3

localize18.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (/ (fabs (- y x)) 2.0) x)
0.1b	(fma (/ (fabs (- y x)) 2.0) (- (/ (fabs (- y x)) 2.0) x) (* x x))
9.8b	(+ (pow x 3) (pow (/ (fabs (- y x)) 2.0) 3))
41.9b	(/ (+ (pow x 3) (pow (/ (fabs (- y x)) 2.0) 3)) (fma (/ (fabs (- y x)) 2.0) (- (/ (fabs (- y x)) 2.0) x) (* x x)))

rewrite15.0ms

Algorithm

rewrite-expression-head

Rules

2×	`fma-def` `flip3-+` `sum-cubes` `flip-+` `div-inv` `associate-/l/`
1×	`+-commutative` `sub-neg` `flip3--` `frac-2neg` `fma-neg` `unpow3` `clear-num` `flip--` `fma-udef` `associate-/l*` `sqr-pow`

Counts

4 → 18

Calls

4 calls:

3.0ms	(- (/ (fabs (- y x)) 2.0) x)
1.0ms	(fma (/ (fabs (- y x)) 2.0) (- (/ (fabs (- y x)) 2.0) x) (* x x))
4.0ms	(+ (pow x 3) (pow (/ (fabs (- y x)) 2.0) 3))
6.0ms	(/ (+ (pow x 3) (pow (/ (fabs (- y x)) 2.0) 3)) (fma (/ (fabs (- y x)) 2.0) (- (/ (fabs (- y x)) 2.0) x) (* x x)))

series176.0ms

Counts

4 → 12

Calls

4 calls:

27.0ms	(- (/ (fabs (- y x)) 2.0) x)
38.0ms	(fma (/ (fabs (- y x)) 2.0) (- (/ (fabs (- y x)) 2.0) x) (* x x))
39.0ms	(+ (pow x 3) (pow (/ (fabs (- y x)) 2.0) 3))
71.0ms	(/ (+ (pow x 3) (pow (/ (fabs (- y x)) 2.0) 3)) (fma (/ (fabs (- y x)) 2.0) (- (/ (fabs (- y x)) 2.0) x) (* x x)))

simplify76.0ms

Algorithm

egg-herbie

Counts

30 → 30

Iterations

Useful iterations: 3 (72.0ms)

Iter	Nodes	Cost
0	169	265
1	544	255
2	2524	252
3	5001	248

prune79.0ms

Filtered

30 candidates to 22 candidates (73.3%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	30	0	30
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	30	3	33

Merged error: 0.0b

Counts

33 → 3

regimes52.0ms

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

sample306.0ms

Algorithm

intervals

Results

158.0ms	7700×	body	80	valid
10.0ms	110×	body	1280	valid
5.0ms	75×	body	640	valid
5.0ms	49×	body	2560	valid
2.0ms	43×	body	320	valid
1.0ms	24×	body	160	valid