Details

sample11.0ms

Algorithm

intervals

Results

5.0ms

256×

body

valid

simplify9.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	13	4
1	17	4
2	19	4
3	21	4
4	22	4
5	22	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: 0.1b

Counts

2 → 1

localize5.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (* (/ 841.0 108.0) x) (/ 4.0 29.0))
0.1b	(* (/ 841.0 108.0) x)

rewrite9.0ms

Algorithm

rewrite-expression-head

Rules

12×	`associate-*l/`
9×	`frac-add`
7×	`frac-2neg` `clear-num`
1×	`+-commutative` `flip3-+` `associate-l` `*-commutative` `flip-+` `div-inv`

Counts

2 → 17

Calls

2 calls:

5.0ms	(+ (* (/ 841.0 108.0) x) (/ 4.0 29.0))
3.0ms	(* (/ 841.0 108.0) x)

series49.0ms

Counts

2 → 6

Calls

2 calls:

34.0ms	(+ (* (/ 841.0 108.0) x) (/ 4.0 29.0))
15.0ms	(* (/ 841.0 108.0) x)

simplify85.0ms

Algorithm

egg-herbie

Counts

23 → 23

Iterations

Useful iterations: 2 (25.0ms)

Iter	Nodes	Cost
0	194	116
1	741	106
2	3010	104
3	5001	104

prune35.0ms

Filtered

23 candidates to 17 candidates (73.9%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	21	2	23
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	21	3	24

Merged error: 0b

Counts

24 → 3

localize5.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (/ x (/ 108.0 841.0)) (/ 4.0 29.0))
0.4b	(/ x (/ 108.0 841.0))

rewrite11.0ms

Algorithm

rewrite-expression-head

Rules

12×	`frac-add`
9×	`frac-2neg` `clear-num`
5×	`div-inv`
4×	`associate-/r*`
3×	`associate-/r/`
1×	`+-commutative` `flip3-+` `flip-+`

Counts

2 → 22

Calls

2 calls:

5.0ms	(+ (/ x (/ 108.0 841.0)) (/ 4.0 29.0))
5.0ms	(/ x (/ 108.0 841.0))

series48.0ms

Counts

2 → 6

Calls

2 calls:

34.0ms	(+ (/ x (/ 108.0 841.0)) (/ 4.0 29.0))
15.0ms	(/ x (/ 108.0 841.0))

simplify111.0ms

Algorithm

egg-herbie

Counts

28 → 28

Iterations

Useful iterations: 2 (26.0ms)

Iter	Nodes	Cost
0	233	151
1	954	140
2	3487	138
3	5001	138

prune44.0ms

Filtered

28 candidates to 21 candidates (75.0%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	28	0	28
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	28	3	31

Merged error: 0b

Counts

31 → 3

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (* (* 841.0 x) 29.0) (* 108.0 4.0))
0.3b	(* (* 841.0 x) 29.0)
0.4b	(/ (- (+ (* (* 841.0 x) 29.0) (* 108.0 4.0))) (* (- 108.0) 29.0))

rewrite20.0ms

Algorithm

rewrite-expression-head

Rules

6×	`neg-mul-1`
4×	`associate-l` `*-commutative`
3×	`times-frac` `associate-/r*`
2×	`flip3-+` `flip-+` `associate-/l/` `distribute-neg-frac`
1×	`+-commutative` `neg-sub0` `frac-2neg` `div-sub` `distribute-frac-neg` `clear-num` `div-inv` `associate-/l*`

Counts

3 → 20

Calls

3 calls:

5.0ms	(+ (* (* 841.0 x) 29.0) (* 108.0 4.0))
3.0ms	(* (* 841.0 x) 29.0)
11.0ms	(/ (- (+ (* (* 841.0 x) 29.0) (* 108.0 4.0))) (* (- 108.0) 29.0))

series102.0ms

Counts

3 → 9

Calls

3 calls:

35.0ms	(+ (* (* 841.0 x) 29.0) (* 108.0 4.0))
14.0ms	(* (* 841.0 x) 29.0)
53.0ms	(/ (- (+ (* (* 841.0 x) 29.0) (* 108.0 4.0))) (* (- 108.0) 29.0))

simplify96.0ms

Algorithm

egg-herbie

Counts

29 → 29

Iterations

Useful iterations: 3 (92.0ms)

Iter	Nodes	Cost
0	141	148
1	479	146
2	2378	145
3	5001	143

prune52.0ms

Filtered

29 candidates to 23 candidates (79.3%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	29	0	29
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	29	3	32

Merged error: 0b

Counts

32 → 3

regimes35.0ms

Accuracy

0% (0.1b 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	11	4
1	11	4

end0.0ms

sample240.0ms

Algorithm

intervals

Results

154.0ms	8011×	body	80	valid
0.0ms	1×	body	1280	valid