Details

sample20.0ms

Algorithm

intervals

Results

9.0ms	314×	body	80	valid
0.0ms	5×	body	640	valid
0.0ms	4×	body	320	valid
0.0ms	2×	body	1280	valid
0.0ms	1×	body	160	valid

simplify8.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	18	4
1	28	4
2	38	4
3	41	4
4	41	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

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b	(* x (+ y z))
0.0b	(+ (* x (+ y z)) (* z 5.0))

rewrite9.0ms

Algorithm

rewrite-expression-head

Rules

5×	`+-commutative`
4×	`distribute-rgt-in` `associate-+l+` `distribute-lft-in`
2×	`flip3-+` `associate-*r/` `flip-+`
1×	`*-commutative`

Counts

2 → 14

Calls

2 calls:

3.0ms	(* x (+ y z))
6.0ms	(+ (* x (+ y z)) (* z 5.0))

series54.0ms

Counts

2 → 6

Calls

2 calls:

24.0ms	(* x (+ y z))
29.0ms	(+ (* x (+ y z)) (* z 5.0))

simplify154.0ms

Algorithm

egg-herbie

Counts

20 → 20

Iterations

Useful iterations: 2 (14.0ms)

Iter	Nodes	Cost
0	112	78
1	342	75
2	1415	74
3	4796	74
4	5001	74

prune40.0ms

Filtered

20 candidates to 13 candidates (65.0%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	17	3	20
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	17	4	21

Merged error: 0.1b

Counts

21 → 4

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (* z (+ x 5.0)) (* x y))
0.0b	(* z (+ x 5.0))

rewrite10.0ms

Algorithm

rewrite-expression-head

Rules

5×	`+-commutative`
4×	`distribute-rgt-in` `associate-+l+` `distribute-lft-in`
2×	`flip3-+` `associate-*r/` `flip-+`
1×	`*-commutative`

Counts

2 → 14

Calls

2 calls:

6.0ms	(+ (* z (+ x 5.0)) (* x y))
3.0ms	(* z (+ x 5.0))

series68.0ms

Counts

2 → 6

Calls

2 calls:

32.0ms	(+ (* z (+ x 5.0)) (* x y))
36.0ms	(* z (+ x 5.0))

simplify155.0ms

Algorithm

egg-herbie

Counts

20 → 20

Iterations

Useful iterations: 2 (13.0ms)

Iter	Nodes	Cost
0	107	75
1	341	75
2	1407	74
3	4812	74
4	5001	74

prune42.0ms

Filtered

20 candidates to 12 candidates (60.0%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	17	3	20
Fresh	1	1	2
Picked	0	1	1
Done	0	1	1
Total	18	6	24

Merged error: 0.0b

Counts

24 → 6

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (* x x) (* 5.0 5.0))
0.0b	(+ (/ (* z (- (* x x) (* 5.0 5.0))) (- x 5.0)) (* x y))
4.3b	(* z (- (* x x) (* 5.0 5.0)))
6.2b	(/ (* z (- (* x x) (* 5.0 5.0))) (- x 5.0))

rewrite31.0ms

Algorithm

rewrite-expression-head

Rules

14×	`*-commutative`
12×	`difference-of-squares`
8×	`associate-r`
6×	`associate-/l*`
4×	`flip3--` `associate-*r/` `flip--`
3×	`sub-neg`
2×	`distribute-rgt-in` `distribute-lft-in` `associate-/r/` `associate-/l/`
1×	`+-commutative` `frac-2neg` `flip3-+` `clear-num` `flip-+` `div-inv`

Counts

4 → 35

Calls

4 calls:

4.0ms	(- (* x x) (* 5.0 5.0))
11.0ms	(+ (/ (* z (- (* x x) (* 5.0 5.0))) (- x 5.0)) (* x y))
5.0ms	(* z (- (* x x) (* 5.0 5.0)))
9.0ms	(/ (* z (- (* x x) (* 5.0 5.0))) (- x 5.0))

series304.0ms

Counts

4 → 12

Calls

4 calls:

46.0ms	(- (* x x) (* 5.0 5.0))
94.0ms	(+ (/ (* z (- (* x x) (* 5.0 5.0))) (- x 5.0)) (* x y))
69.0ms	(* z (- (* x x) (* 5.0 5.0)))
94.0ms	(/ (* z (- (* x x) (* 5.0 5.0))) (- x 5.0))

simplify106.0ms

Algorithm

egg-herbie

Counts

47 → 47

Iterations

Useful iterations: 2 (24.0ms)

Iter	Nodes	Cost
0	236	226
1	765	212
2	3075	201
3	5002	201

prune86.0ms

Filtered

47 candidates to 25 candidates (53.2%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	45	2	47
Fresh	1	2	3
Picked	0	1	1
Done	1	1	2
Total	47	6	53

Merged error: 0b

Counts

53 → 6

localize12.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ 1 (+ x 5.0))
0.0b	(+ (/ z (/ 1 (+ x 5.0))) (* x y))
0.3b	(/ z (/ 1 (+ x 5.0)))

rewrite14.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 18

Calls

3 calls:

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

series96.0ms

Counts

3 → 9

Calls

3 calls:

29.0ms	(/ 1 (+ x 5.0))
34.0ms	(+ (/ z (/ 1 (+ x 5.0))) (* x y))
33.0ms	(/ z (/ 1 (+ x 5.0)))

simplify123.0ms

Algorithm

egg-herbie

Counts

27 → 27

Iterations

Useful iterations: 2 (22.0ms)

Iter	Nodes	Cost
0	151	111
1	591	107
2	3172	101
3	5001	101

prune45.0ms

Filtered

27 candidates to 16 candidates (59.3%)

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	27	0	27
Fresh	0	3	3
Picked	0	1	1
Done	0	2	2
Total	27	6	33

Merged error: 0b

Counts

33 → 6

regimes101.0ms

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	12	4
1	12	4

end0.0ms

sample454.0ms

Algorithm

intervals

Results

225.0ms	9777×	body	80	valid
12.0ms	117×	body	1280	valid
10.0ms	121×	body	640	valid
5.0ms	75×	body	320	valid
1.0ms	29×	body	160	valid