Details

sample27.0ms

Algorithm

intervals

Results

14.0ms

436×

body

valid

simplify56.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	22	7
1	55	7
2	101	7
3	182	7
4	335	7
5	731	7
6	1828	7
7	5001	7

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: 30.4b

Counts

2 → 1

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (* x x) (* y y))
5.0b	(- (+ (* x x) (* y y)) (* z z))
28.2b	(/ (- (+ (* x x) (* y y)) (* z z)) (* y 2.0))

rewrite18.0ms

Algorithm

rewrite-expression-head

Rules

2×	`+-commutative` `flip3--` `associate--l+` `associate-/r*` `flip--` `associate-/l/`
1×	`sub-neg` `frac-2neg` `flip3-+` `div-sub` `clear-num` `*-commutative` `flip-+` `div-inv`

Counts

3 → 17

Calls

3 calls:

4.0ms	(+ (* x x) (* y y))
5.0ms	(- (+ (* x x) (* y y)) (* z z))
8.0ms	(/ (- (+ (* x x) (* y y)) (* z z)) (* y 2.0))

series149.0ms

Counts

3 → 9

Calls

3 calls:

27.0ms	(+ (* x x) (* y y))
42.0ms	(- (+ (* x x) (* y y)) (* z z))
80.0ms	(/ (- (+ (* x x) (* y y)) (* z z)) (* y 2.0))

simplify83.0ms

Algorithm

egg-herbie

Counts

26 → 26

Iterations

Useful iterations: 2 (22.0ms)

Iter	Nodes	Cost
0	213	184
1	887	174
2	2968	166
3	5003	166

prune69.0ms

Filtered

26 candidates to 19 candidates (73.1%)

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	22	4	26
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	23	4	27

Merged error: 11.3b

Counts

27 → 4

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (+ y (/ (pow x 2) y)) (/ (pow z 2) y))
0.0b	(+ y (/ (pow x 2) y))
7.4b	(/ (pow x 2) y)
9.7b	(/ (pow z 2) y)

rewrite15.0ms

Algorithm

rewrite-expression-head

Rules

10×	`frac-sub`
8×	`associate-/l*`
6×	`flip3-+` `flip-+`
4×	`frac-2neg` `clear-num` `unpow2` `sqr-pow`
2×	`+-commutative` `associate--l+` `div-inv`
1×	`sub-neg` `flip3--` `flip--`

Counts

4 → 29

Calls

4 calls:

5.0ms	(- (+ y (/ (pow x 2) y)) (/ (pow z 2) y))
3.0ms	(+ y (/ (pow x 2) y))
3.0ms	(/ (pow x 2) y)
3.0ms	(/ (pow z 2) y)

series105.0ms

Counts

4 → 12

Calls

4 calls:

42.0ms	(- (+ y (/ (pow x 2) y)) (/ (pow z 2) y))
27.0ms	(+ y (/ (pow x 2) y))
18.0ms	(/ (pow x 2) y)
19.0ms	(/ (pow z 2) y)

simplify36.0ms

Algorithm

egg-herbie

Counts

41 → 41

Iterations

Useful iterations: 2 (30.0ms)

Iter	Nodes	Cost
0	232	387
1	916	371
2	5002	349

prune102.0ms

Filtered

41 candidates to 26 candidates (63.4%)

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	37	4	41
Fresh	2	1	3
Picked	1	0	1
Done	0	0	0
Total	40	5	45

Merged error: 1.6b

Counts

45 → 5

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (+ y (/ (pow x 2) y)) (/ z (/ y z)))
0.0b	(+ y (/ (pow x 2) y))
0.2b	(/ z (/ y z))
7.4b	(/ (pow x 2) y)

rewrite15.0ms

Algorithm

rewrite-expression-head

Rules

8×	`frac-sub`
5×	`frac-2neg` `flip3-+` `clear-num` `flip-+` `div-inv`
3×	`associate-/r*` `associate-/r/`
2×	`+-commutative` `associate--l+` `associate-/l*`
1×	`sub-neg` `flip3--` `flip--` `unpow2` `sqr-pow`

Counts

4 → 29

Calls

4 calls:

5.0ms	(- (+ y (/ (pow x 2) y)) (/ z (/ y z)))
3.0ms	(+ y (/ (pow x 2) y))
3.0ms	(/ z (/ y z))
3.0ms	(/ (pow x 2) y)

series105.0ms

Counts

4 → 12

Calls

4 calls:

39.0ms	(- (+ y (/ (pow x 2) y)) (/ z (/ y z)))
30.0ms	(+ y (/ (pow x 2) y))
18.0ms	(/ z (/ y z))
18.0ms	(/ (pow x 2) y)

simplify38.0ms

Algorithm

egg-herbie

Counts

41 → 41

Iterations

Useful iterations: 2 (33.0ms)

Iter	Nodes	Cost
0	232	346
1	1033	330
2	5001	312

prune98.0ms

Filtered

41 candidates to 28 candidates (68.3%)

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	38	3	41
Fresh	2	2	4
Picked	1	0	1
Done	0	0	0
Total	41	5	46

Merged error: 0.0b

Counts

46 → 5

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (+ y (/ (pow x (/ 2 2)) (/ y x))) (/ z (/ y z)))
0.0b	(+ y (/ (pow x (/ 2 2)) (/ y x)))
0.2b	(/ z (/ y z))
0.2b	(/ (pow x (/ 2 2)) (/ y x))

rewrite20.0ms

Algorithm

rewrite-expression-head

Rules

8×	`frac-sub`
7×	`div-inv`
6×	`frac-2neg` `clear-num` `associate-/r/`
5×	`flip3-+` `flip-+`
4×	`associate-/r*`
2×	`+-commutative` `associate--l+` `sqr-pow`
1×	`sub-neg` `flip3--` `times-frac` `flip--` `associate-/l*`

Counts

4 → 33

Calls

4 calls:

6.0ms	(- (+ y (/ (pow x (/ 2 2)) (/ y x))) (/ z (/ y z)))
4.0ms	(+ y (/ (pow x (/ 2 2)) (/ y x)))
3.0ms	(/ z (/ y z))
4.0ms	(/ (pow x (/ 2 2)) (/ y x))

series105.0ms

Counts

4 → 12

Calls

4 calls:

41.0ms	(- (+ y (/ (pow x (/ 2 2)) (/ y x))) (/ z (/ y z)))
27.0ms	(+ y (/ (pow x (/ 2 2)) (/ y x)))
18.0ms	(/ z (/ y z))
19.0ms	(/ (pow x (/ 2 2)) (/ y x))

simplify40.0ms

Algorithm

egg-herbie

Counts

45 → 45

Iterations

Useful iterations: 2 (35.0ms)

Iter	Nodes	Cost
0	257	415
1	1166	393
2	5001	361

prune106.0ms

Filtered

45 candidates to 33 candidates (73.3%)

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	41	4	45
Fresh	2	2	4
Picked	1	0	1
Done	0	0	0
Total	44	6	50

Merged error: 0.0b

Counts

50 → 6

regimes126.0ms

Accuracy

0% (0.1b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 0.2b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	9
1	18	9

end0.0ms

sample742.0ms

Algorithm

intervals

Results

461.0ms

13768×

body

valid