Details

sample20.0ms

Algorithm

intervals

Results

10.0ms

472×

body

valid

simplify272.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 3 (5.0ms)

Iter	Nodes	Cost
0	14	6
1	29	4
2	50	4
3	70	3
4	82	3
5	125	3
6	229	3
7	321	3
8	336	3
9	434	3
10	786	3
11	3475	3
12	5001	3

prune5.0ms

Filtered

1 candidates to 1 candidates (100.0%)

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 → 2

localize5.0ms

Local error

Found 1 expressions with local error:

0.1b	(fma 3 (* y y) (* x x))

rewrite1.0ms

Algorithm

rewrite-expression-head

Rules

1×	`fma-udef`

Counts

1 → 1

Calls

1 calls:

1.0ms

(fma 3 (* y y) (* x x))

series36.0ms

Counts

1 → 3

Calls

1 calls:

36.0ms

(fma 3 (* y y) (* x x))

simplify170.0ms

Algorithm

egg-herbie

Counts

4 → 4

Iterations

Useful iterations: 1 (3.0ms)

Iter	Nodes	Cost
0	21	14
1	46	11
2	105	11
3	246	11
4	759	11
5	4018	11
6	5001	11

prune7.0ms

Filtered

4 candidates to 2 candidates (50.0%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	3	1	4
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	3	3	6

Merged error: 0.0b

Counts

6 → 3

localize8.0ms

Local error

Found 1 expressions with local error:

0.1b	(fma (* 3 y) y (pow x 2))

rewrite1.0ms

Algorithm

rewrite-expression-head

Rules

1×	`fma-udef`

Counts

1 → 1

Calls

1 calls:

1.0ms

(fma (* 3 y) y (pow x 2))

series44.0ms

Counts

1 → 3

Calls

1 calls:

44.0ms

(fma (* 3 y) y (pow x 2))

simplify174.0ms

Algorithm

egg-herbie

Counts

4 → 4

Iterations

Useful iterations: 1 (3.0ms)

Iter	Nodes	Cost
0	21	14
1	44	11
2	104	11
3	245	11
4	758	11
5	4005	11
6	5001	11

prune7.0ms

Filtered

4 candidates to 2 candidates (50.0%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	4	0	4
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	4	3	7

Merged error: 0.0b

Counts

7 → 3

localize11.0ms

Local error

Found 3 expressions with local error:

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

rewrite20.0ms

Algorithm

rewrite-expression-head

Rules

8×	`associate-+l+`
6×	`+-commutative`
3×	`flip3-+` `flip-+`
2×	`fma-def`
1×	`*-commutative`

Counts

3 → 17

Calls

3 calls:

7.0ms	(+ (+ (* x x) (* y y)) (* y y))
4.0ms	(+ (* x x) (* y y))
9.0ms	(+ (+ (+ (* x x) (* y y)) (* y y)) (* y y))

series102.0ms

Counts

3 → 9

Calls

3 calls:

39.0ms	(+ (+ (* x x) (* y y)) (* y y))
27.0ms	(+ (* x x) (* y y))
35.0ms	(+ (+ (+ (* x x) (* y y)) (* y y)) (* y y))

simplify86.0ms

Algorithm

egg-herbie

Counts

26 → 26

Iterations

Useful iterations: 3 (83.0ms)

Iter	Nodes	Cost
0	158	157
1	749	123
2	2959	99
3	5001	91

prune54.0ms

Filtered

26 candidates to 17 candidates (65.4%)

Pruning

4 alts after pruning (1 fresh and 3 done)

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

Merged error: 0.0b

Counts

29 → 4

localize21.0ms

Local error

Found 4 expressions with local error:

0.5b	(fma y (- (pow y 3) (* (pow x 2) y)) (pow x 4))
1.4b	(- (pow y 3) (* (pow x 2) y))
1.8b	(* (pow x 2) y)
42.6b	(/ (fma y (pow y 5) (pow x 6)) (fma y (- (pow y 3) (* (pow x 2) y)) (pow x 4)))

rewrite13.0ms

Algorithm

rewrite-expression-head

Rules

8×	`prod-diff` `sqr-pow`
6×	`unpow3` `associate-l`
3×	`*-commutative` `unpow2`
2×	`fma-neg`
1×	`sub-neg` `flip3--` `distribute-rgt-out--` `frac-2neg` `clear-num` `flip--` `fma-udef` `div-inv`

Counts

4 → 22

Calls

4 calls:

1.0ms	(fma y (- (pow y 3) (* (pow x 2) y)) (pow x 4))
6.0ms	(- (pow y 3) (* (pow x 2) y))
3.0ms	(* (pow x 2) y)
2.0ms	(/ (fma y (pow y 5) (pow x 6)) (fma y (- (pow y 3) (* (pow x 2) y)) (pow x 4)))

series249.0ms

Counts

4 → 12

Calls

4 calls:

61.0ms	(fma y (- (pow y 3) (* (pow x 2) y)) (pow x 4))
45.0ms	(- (pow y 3) (* (pow x 2) y))
17.0ms	(* (pow x 2) y)
127.0ms	(/ (fma y (pow y 5) (pow x 6)) (fma y (- (pow y 3) (* (pow x 2) y)) (pow x 4)))

simplify103.0ms

Algorithm

egg-herbie

Counts

34 → 34

Iterations

Useful iterations: 3 (98.0ms)

Iter	Nodes	Cost
0	173	201
1	535	182
2	2485	177
3	5002	145

prune83.0ms

Filtered

34 candidates to 16 candidates (47.1%)

Pruning

4 alts after pruning (0 fresh and 4 done)

	Pruned	Kept	Total
New	34	0	34
Fresh	0	0	0
Picked	0	1	1
Done	0	3	3
Total	34	4	38

Merged error: 0.0b

Counts

38 → 4

regimes111.0ms

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	8	3
1	8	3

end0.0ms

sample545.0ms

Algorithm

intervals

Results

330.0ms

14378×

body

valid