Details

sample19.0ms

Algorithm

intervals

Results

9.0ms

394×

body

valid

simplify298.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 2 (4.0ms)

Iter	Nodes	Cost
0	15	7
1	25	6
2	37	4
3	47	4
4	56	4
5	89	4
6	158	4
7	208	4
8	221	4
9	314	4
10	642	4
11	3182	4
12	5003	4

prune4.0ms

Filtered

1 candidates to 1 candidates (100.0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

	Pruned	Kept	Total
New	0	1	1
Fresh	1	0	1
Picked	0	0	0
Done	0	0	0
Total	1	1	2

Merged error: 0.1b

Counts

2 → 1

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (* 3 (* z z)) (* x y))
0.2b	(* 3 (* z z))

rewrite8.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 6

Calls

2 calls:

5.0ms	(+ (* 3 (* z z)) (* x y))
3.0ms	(* 3 (* z z))

series60.0ms

Counts

2 → 6

Calls

2 calls:

33.0ms	(+ (* 3 (* z z)) (* x y))
27.0ms	(* 3 (* z z))

simplify322.0ms

Algorithm

egg-herbie

Counts

12 → 12

Iterations

Useful iterations: 3 (59.0ms)

Iter	Nodes	Cost
0	71	50
1	263	49
2	1067	49
3	4918	48
4	5002	48

prune18.0ms

Filtered

12 candidates to 6 candidates (50.0%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	10	2	12
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	10	3	13

Merged error: 0.0b

Counts

13 → 3

localize10.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (* (* 3 z) z) (* x y))
0.2b	(* (* 3 z) z)

rewrite9.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 6

Calls

2 calls:

5.0ms	(+ (* (* 3 z) z) (* x y))
3.0ms	(* (* 3 z) z)

series57.0ms

Counts

2 → 6

Calls

2 calls:

33.0ms	(+ (* (* 3 z) z) (* x y))
24.0ms	(* (* 3 z) z)

simplify291.0ms

Algorithm

egg-herbie

Counts

12 → 12

Iterations

Useful iterations: 3 (47.0ms)

Iter	Nodes	Cost
0	69	51
1	260	51
2	1163	50
3	4894	49
4	5001	49

prune19.0ms

Filtered

12 candidates to 5 candidates (41.7%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	12	0	12
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	12	3	15

Merged error: 0.0b

Counts

15 → 3

localize13.0ms

Local error

Found 4 expressions with local error:

0.2b	(* 3 (* z z))
0.2b	(* (* x y) (* x y))
1.1b	(+ (- (* (* x y) (* x y))) (* 3 (* 3 (pow z 4))))
27.8b	(/ (+ (- (* (* x y) (* x y))) (* 3 (* 3 (pow z 4)))) (- (* 3 (* z z)) (* x y)))

rewrite36.0ms

Algorithm

rewrite-expression-head

Rules

7×	`*-commutative`
4×	`associate-r`
2×	`neg-sub0` `associate-+l-` `flip3-+` `swap-sqr` `associate-l` `associate-/r/` `flip-+` `associate-/l/`
1×	`+-commutative` `pow2` `flip3--` `frac-2neg` `div-sub` `clear-num` `flip--` `div-inv`

Counts

4 → 23

Calls

4 calls:

3.0ms	(* 3 (* z z))
4.0ms	(* (* x y) (* x y))
11.0ms	(+ (- (* (* x y) (* x y))) (* 3 (* 3 (pow z 4))))
17.0ms	(/ (+ (- (* (* x y) (* x y))) (* 3 (* 3 (pow z 4)))) (- (* 3 (* z z)) (* x y)))

series264.0ms

Counts

4 → 12

Calls

4 calls:

23.0ms	(* 3 (* z z))
35.0ms	(* (* x y) (* x y))
108.0ms	(+ (- (* (* x y) (* x y))) (* 3 (* 3 (pow z 4))))
98.0ms	(/ (+ (- (* (* x y) (* x y))) (* 3 (* 3 (pow z 4)))) (- (* 3 (* z z)) (* x y)))

simplify42.0ms

Algorithm

egg-herbie

Counts

35 → 35

Iterations

Useful iterations: 2 (38.0ms)

Iter	Nodes	Cost
0	168	228
1	825	196
2	5001	189

prune84.0ms

Filtered

35 candidates to 24 candidates (68.6%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	34	1	35
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	34	4	38

Merged error: 0.0b

Counts

38 → 4

localize13.0ms

Local error

Found 4 expressions with local error:

0.2b	(* 3 (* z z))
0.2b	(* (* x y) (* x y))
1.2b	(- (* (* x y) (* x y)) (* 9 (pow z 4)))
27.8b	(/ (- 0 (- (* (* x y) (* x y)) (* 9 (pow z 4)))) (- (* 3 (* z z)) (* x y)))

rewrite24.0ms

Algorithm

rewrite-expression-head

Rules

7×	`*-commutative`
4×	`associate-r`
3×	`flip3--` `div-sub` `flip--`
2×	`sub-neg` `swap-sqr` `associate-l` `associate-/r/` `associate-/l/` `associate--r+`
1×	`pow2` `frac-2neg` `sub0-neg` `distribute-frac-neg` `clear-num` `div-inv`

Counts

4 → 26

Calls

4 calls:

3.0ms	(* 3 (* z z))
4.0ms	(* (* x y) (* x y))
8.0ms	(- (* (* x y) (* x y)) (* 9 (pow z 4)))
8.0ms	(/ (- 0 (- (* (* x y) (* x y)) (* 9 (pow z 4)))) (- (* 3 (* z z)) (* x y)))

series274.0ms

Counts

4 → 12

Calls

4 calls:

24.0ms	(* 3 (* z z))
37.0ms	(* (* x y) (* x y))
114.0ms	(- (* (* x y) (* x y)) (* 9 (pow z 4)))
99.0ms	(/ (- 0 (- (* (* x y) (* x y)) (* 9 (pow z 4)))) (- (* 3 (* z z)) (* x y)))

simplify50.0ms

Algorithm

egg-herbie

Counts

38 → 38

Iterations

Useful iterations: 2 (45.0ms)

Iter	Nodes	Cost
0	193	244
1	978	237
2	5002	218

prune86.0ms

Filtered

38 candidates to 24 candidates (63.2%)

Pruning

4 alts after pruning (0 fresh and 4 done)

	Pruned	Kept	Total
New	38	0	38
Fresh	0	0	0
Picked	0	1	1
Done	0	3	3
Total	38	4	42

Merged error: 0.0b

Counts

42 → 4

regimes95.0ms

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

sample520.0ms

Algorithm

intervals

Results

286.0ms

12181×

body

valid