Details

sample20.0ms

Algorithm

intervals

Results

10.0ms

394×

body

valid

simplify263.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 3 (6.0ms)

Iter	Nodes	Cost
0	16	6
1	33	4
2	56	4
3	76	3
4	88	3
5	131	3
6	236	3
7	328	3
8	343	3
9	441	3
10	793	3
11	3482	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

localize6.0ms

Local error

Found 1 expressions with local error:

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

rewrite1.0ms

Algorithm

rewrite-expression-head

Rules

1×	`fma-udef`

Counts

1 → 1

Calls

1 calls:

1.0ms

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

series37.0ms

Counts

1 → 3

Calls

1 calls:

37.0ms

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

simplify162.0ms

Algorithm

egg-herbie

Counts

4 → 4

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	21	11
1	42	11
2	87	11
3	200	11
4	620	11
5	3483	11
6	5001	11

prune6.0ms

Filtered

4 candidates to 2 candidates (50.0%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	3	1	4
Fresh	1	0	1
Picked	0	1	1
Done	0	0	0
Total	4	2	6

Merged error: 0.1b

Counts

6 → 2

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

4×	`fma-def` `associate-r` `*-commutative`
1×	`+-commutative` `flip3-+` `flip-+`

Counts

2 → 10

Calls

2 calls:

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

series60.0ms

Counts

2 → 6

Calls

2 calls:

36.0ms	(+ (* 3 (* z z)) (* x y))
23.0ms	(* 3 (* z z))

simplify43.0ms

Algorithm

egg-herbie

Counts

16 → 16

Iterations

Useful iterations: 2 (11.0ms)

Iter	Nodes	Cost
0	76	47
1	295	45
2	1237	41
3	5001	41

prune23.0ms

Filtered

16 candidates to 8 candidates (50.0%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	14	2	16
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	14	4	18

Merged error: 0.0b

Counts

18 → 4

localize6.0ms

Local error

Found 1 expressions with local error:

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

rewrite1.0ms

Algorithm

rewrite-expression-head

Rules

1×	`fma-udef`

Counts

1 → 1

Calls

1 calls:

1.0ms

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

series40.0ms

Counts

1 → 3

Calls

1 calls:

40.0ms

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

simplify164.0ms

Algorithm

egg-herbie

Counts

4 → 4

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	21	11
1	40	11
2	86	11
3	199	11
4	619	11
5	3470	11
6	5001	11

prune8.0ms

Filtered

4 candidates to 2 candidates (50.0%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	4	0	4
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	4	4	8

Merged error: 0.0b

Counts

8 → 4

localize14.0ms

Local error

Found 4 expressions with local error:

0.2b	(* 3 (* z z))
0.2b	(* (* x y) (* x y))
1.1b	(fma (pow z 4) 9 (- (* (* x y) (* x y))))
27.8b	(/ (fma (pow z 4) 9 (- (* (* x y) (* x y)))) (- (* 3 (* z z)) (* x y)))

rewrite14.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 17

Calls

4 calls:

3.0ms	(* 3 (* z z))
4.0ms	(* (* x y) (* x y))
1.0ms	(fma (pow z 4) 9 (- (* (* x y) (* x y))))
5.0ms	(/ (fma (pow z 4) 9 (- (* (* x y) (* x y)))) (- (* 3 (* z z)) (* x y)))

series216.0ms

Counts

4 → 12

Calls

4 calls:

28.0ms	(* 3 (* z z))
31.0ms	(* (* x y) (* x y))
70.0ms	(fma (pow z 4) 9 (- (* (* x y) (* x y))))
87.0ms	(/ (fma (pow z 4) 9 (- (* (* x y) (* x y)))) (- (* 3 (* z z)) (* x y)))

simplify56.0ms

Algorithm

egg-herbie

Counts

29 → 29

Iterations

Useful iterations: 3 (53.0ms)

Iter	Nodes	Cost
0	101	109
1	374	93
2	1857	86
3	5002	84

prune232.0ms

Filtered

29 candidates to 18 candidates (62.1%)

Pruning

5 alts after pruning (1 fresh and 4 done)

	Pruned	Kept	Total
New	28	1	29
Fresh	0	0	0
Picked	0	1	1
Done	0	3	3
Total	28	5	33

Merged error: 0.0b

Counts

33 → 5

regimes116.0ms

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	9	3
1	9	3

end0.0ms

sample595.0ms

Algorithm

intervals

Results

335.0ms

12181×

body

valid