Details

sample17.0ms

Algorithm

intervals

Results

7.0ms

340×

body

valid

simplify5.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	11	3
1	12	3
2	12	3

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

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ x (* (* y z) z))
0.2b	(* (* y z) z)

rewrite7.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 6

Calls

2 calls:

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

series76.0ms

Counts

2 → 6

Calls

2 calls:

48.0ms	(+ x (* (* y z) z))
27.0ms	(* (* y z) z)

simplify142.0ms

Algorithm

egg-herbie

Counts

12 → 12

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	58	37
1	212	37
2	888	37
3	3198	37
4	5002	37

prune19.0ms

Filtered

12 candidates to 7 candidates (58.3%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	11	1	12
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	11	2	13

Merged error: 0.1b

Counts

13 → 2

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (* (pow z 2) y) x)
9.4b	(* (pow z 2) y)

rewrite8.0ms

Algorithm

rewrite-expression-head

Rules

2×	`associate-l`
1×	`+-commutative` `flip3-+` `*-commutative` `flip-+` `unpow2` `sqr-pow`

Counts

2 → 6

Calls

2 calls:

4.0ms	(+ (* (pow z 2) y) x)
3.0ms	(* (pow z 2) y)

series47.0ms

Counts

2 → 6

Calls

2 calls:

30.0ms	(+ (* (pow z 2) y) x)
17.0ms	(* (pow z 2) y)

simplify222.0ms

Algorithm

egg-herbie

Counts

12 → 12

Iterations

Useful iterations: 2 (8.0ms)

Iter	Nodes	Cost
0	64	39
1	169	38
2	668	36
3	4351	36
4	5001	36

prune19.0ms

Filtered

12 candidates to 7 candidates (58.3%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	11	1	12
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	11	3	14

Merged error: 0.1b

Counts

14 → 3

localize14.0ms

Local error

Found 4 expressions with local error:

5.5b	(* (* (pow z 4) y) y)
6.0b	(* (pow z 4) y)
9.4b	(* (pow z 2) y)
28.0b	(/ (+ (- (* x x)) (* (* (pow z 4) y) y)) (- (* (pow z 2) y) x))

rewrite22.0ms

Algorithm

rewrite-expression-head

Rules

7×	`associate-l`
4×	`*-commutative`
3×	`sqr-pow`
2×	`associate-/r/` `associate-/l/`
1×	`neg-sub0` `associate-+l-` `flip3--` `frac-2neg` `flip3-+` `div-sub` `clear-num` `flip--` `flip-+` `div-inv` `unpow2`

Counts

4 → 17

Calls

4 calls:

4.0ms	(* (* (pow z 4) y) y)
3.0ms	(* (pow z 4) y)
3.0ms	(* (pow z 2) y)
11.0ms	(/ (+ (- (* x x)) (* (* (pow z 4) y) y)) (- (* (pow z 2) y) x))

series161.0ms

Counts

4 → 12

Calls

4 calls:

37.0ms	(* (* (pow z 4) y) y)
24.0ms	(* (pow z 4) y)
17.0ms	(* (pow z 2) y)
82.0ms	(/ (+ (- (* x x)) (* (* (pow z 4) y) y)) (- (* (pow z 2) y) x))

simplify154.0ms

Algorithm

egg-herbie

Counts

29 → 29

Iterations

Useful iterations: 2 (23.0ms)

Iter	Nodes	Cost
0	137	125
1	622	109
2	3558	98
3	5002	98

prune63.0ms

Filtered

29 candidates to 17 candidates (58.6%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	25	4	29
Fresh	0	0	0
Picked	0	1	1
Done	1	1	2
Total	26	6	32

Merged error: 0.1b

Counts

32 → 6

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (* (pow z 2) y) x)
0.1b	(/ 1 (+ (* (pow z 2) y) x))
0.2b	(/ 1 (/ 1 (+ (* (pow z 2) y) x)))
9.4b	(* (pow z 2) y)

rewrite20.0ms

Algorithm

rewrite-expression-head

Rules

7×	`associate-/r/`
4×	`clear-num`
3×	`frac-2neg` `flip3-+` `associate-/r*` `flip-+` `div-inv` `inv-pow`
2×	`associate-l` `remove-double-div`
1×	`+-commutative` `pow-flip` `*-commutative` `unpow2` `sqr-pow`

Counts

4 → 25

Calls

4 calls:

4.0ms	(+ (* (pow z 2) y) x)
5.0ms	(/ 1 (+ (* (pow z 2) y) x))
6.0ms	(/ 1 (/ 1 (+ (* (pow z 2) y) x)))
3.0ms	(* (pow z 2) y)

series93.0ms

Counts

4 → 12

Calls

4 calls:

30.0ms	(+ (* (pow z 2) y) x)
17.0ms	(/ 1 (+ (* (pow z 2) y) x))
28.0ms	(/ 1 (/ 1 (+ (* (pow z 2) y) x)))
18.0ms	(* (pow z 2) y)

simplify86.0ms

Algorithm

egg-herbie

Counts

37 → 37

Iterations

Useful iterations: 2 (14.0ms)

Iter	Nodes	Cost
0	87	99
1	327	97
2	1841	94
3	5001	94

prune64.0ms

Filtered

37 candidates to 23 candidates (62.2%)

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	37	0	37
Fresh	0	3	3
Picked	0	1	1
Done	0	2	2
Total	37	6	43

Merged error: 0.1b

Counts

43 → 6

regimes138.0ms

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	9	3
1	9	3

end0.0ms

sample441.0ms

Algorithm

intervals

Results

213.0ms

10621×

body

valid