Details

sample20.0ms

Algorithm

intervals

Results

8.0ms

359×

body

valid

simplify9.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	12	4
1	20	4
2	39	4
3	47	4
4	47	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

localize6.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (* (+ (* x y) z) y) t)
0.0b	(+ (* x y) z)
0.1b	(* (+ (* x y) z) y)

rewrite13.0ms

Algorithm

rewrite-expression-head

Rules

3×	`flip3-+` `flip-+`
2×	`+-commutative` `associate-*l/`
1×	`*-commutative`

Counts

3 → 9

Calls

3 calls:

5.0ms	(+ (* (+ (* x y) z) y) t)
3.0ms	(+ (* x y) z)
4.0ms	(* (+ (* x y) z) y)

series118.0ms

Counts

3 → 9

Calls

3 calls:

59.0ms	(+ (* (+ (* x y) z) y) t)
21.0ms	(+ (* x y) z)
38.0ms	(* (+ (* x y) z) y)

simplify43.0ms

Algorithm

egg-herbie

Counts

18 → 18

Iterations

Useful iterations: 2 (12.0ms)

Iter	Nodes	Cost
0	110	91
1	303	86
2	1145	82
3	5002	82

prune32.0ms

Filtered

18 candidates to 10 candidates (55.6%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	16	2	18
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	16	3	19

Merged error: 0.0b

Counts

19 → 3

localize11.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (* x y) (* x y))
1.2b	(- (* (* x y) (* x y)) (* z z))
5.9b	(* (- (* (* x y) (* x y)) (* z z)) y)
17.3b	(/ (* (- (* (* x y) (* x y)) (* z z)) y) (- (* x y) z))

rewrite39.0ms

Algorithm

rewrite-expression-head

Rules

19×	`*-commutative`
12×	`difference-of-squares`
10×	`associate-l`
6×	`associate-/l*`
4×	`flip3--` `associate-*l/` `flip--`
2×	`swap-sqr` `associate-r` `associate-/r/` `associate-/l/`
1×	`pow2` `sub-neg` `frac-2neg` `clear-num` `div-inv`

Counts

4 → 36

Calls

4 calls:

5.0ms	(* (* x y) (* x y))
8.0ms	(- (* (* x y) (* x y)) (* z z))
12.0ms	(* (- (* (* x y) (* x y)) (* z z)) y)
13.0ms	(/ (* (- (* (* x y) (* x y)) (* z z)) y) (- (* x y) z))

series233.0ms

Counts

4 → 12

Calls

4 calls:

31.0ms	(* (* x y) (* x y))
58.0ms	(- (* (* x y) (* x y)) (* z z))
79.0ms	(* (- (* (* x y) (* x y)) (* z z)) y)
65.0ms	(/ (* (- (* (* x y) (* x y)) (* z z)) y) (- (* x y) z))

simplify156.0ms

Algorithm

egg-herbie

Counts

48 → 48

Iterations

Useful iterations: 3 (152.0ms)

Iter	Nodes	Cost
0	176	241
1	733	211
2	4243	188
3	5001	185

prune93.0ms

Filtered

48 candidates to 28 candidates (58.3%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	44	4	48
Fresh	1	0	1
Picked	1	0	1
Done	0	1	1
Total	46	5	51

Merged error: 0.0b

Counts

51 → 5

localize8.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (/ y (/ 1 (+ (* x y) z))) t)
0.0b	(+ (* x y) z)
0.1b	(/ 1 (+ (* x y) z))
0.2b	(/ y (/ 1 (+ (* x y) z)))

rewrite19.0ms

Algorithm

rewrite-expression-head

Rules

7×	`associate-/r/`
4×	`flip3-+` `flip-+`
3×	`frac-2neg` `clear-num` `associate-/r*` `div-inv`
2×	`+-commutative`
1×	`inv-pow`

Counts

4 → 21

Calls

4 calls:

7.0ms	(+ (/ y (/ 1 (+ (* x y) z))) t)
3.0ms	(+ (* x y) z)
4.0ms	(/ 1 (+ (* x y) z))
5.0ms	(/ y (/ 1 (+ (* x y) z)))

series114.0ms

Counts

4 → 12

Calls

4 calls:

41.0ms	(+ (/ y (/ 1 (+ (* x y) z))) t)
21.0ms	(+ (* x y) z)
22.0ms	(/ 1 (+ (* x y) z))
29.0ms	(/ y (/ 1 (+ (* x y) z)))

simplify104.0ms

Algorithm

egg-herbie

Counts

33 → 33

Iterations

Useful iterations: 2 (17.0ms)

Iter	Nodes	Cost
0	130	127
1	436	120
2	2357	116
3	5001	116

prune67.0ms

Filtered

33 candidates to 22 candidates (66.7%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	32	1	33
Fresh	1	2	3
Picked	0	1	1
Done	0	1	1
Total	33	5	38

Merged error: 0.0b

Counts

38 → 5

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (/ 1 (/ (/ 1 y) (+ (* x y) z))) t)
0.0b	(+ (* x y) z)
0.3b	(/ (/ 1 y) (+ (* x y) z))
0.4b	(/ 1 (/ (/ 1 y) (+ (* x y) z)))

rewrite24.0ms

Algorithm

rewrite-expression-head

Rules

11×	`associate-/r/`
8×	`associate-/l/`
7×	`clear-num`
6×	`div-inv`
5×	`frac-2neg`
4×	`flip3-+` `flip-+` `remove-double-div`
3×	`associate-/r` `associate-/l`
2×	`+-commutative`
1×	`inv-pow`

Counts

4 → 33

Calls

4 calls:

8.0ms	(+ (/ 1 (/ (/ 1 y) (+ (* x y) z))) t)
3.0ms	(+ (* x y) z)
5.0ms	(/ (/ 1 y) (+ (* x y) z))
7.0ms	(/ 1 (/ (/ 1 y) (+ (* x y) z)))

series116.0ms

Counts

4 → 12

Calls

4 calls:

41.0ms	(+ (/ 1 (/ (/ 1 y) (+ (* x y) z))) t)
21.0ms	(+ (* x y) z)
26.0ms	(/ (/ 1 y) (+ (* x y) z))
28.0ms	(/ 1 (/ (/ 1 y) (+ (* x y) z)))

simplify188.0ms

Algorithm

egg-herbie

Counts

45 → 45

Iterations

Useful iterations: 2 (26.0ms)

Iter	Nodes	Cost
0	149	157
1	587	141
2	4125	136
3	5001	136

prune80.0ms

Filtered

45 candidates to 29 candidates (64.4%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	45	0	45
Fresh	0	2	2
Picked	0	1	1
Done	0	2	2
Total	45	5	50

Merged error: 0.0b

Counts

50 → 5

regimes137.0ms

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	12	4
1	12	4

end0.0ms

sample540.0ms

Algorithm

intervals

Results

266.0ms

11262×

body

valid