Details

sample39.0ms

Algorithm

intervals

Results

19.0ms

263×

body

valid

simplify83.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	48	16
1	102	16
2	292	16
3	803	16
4	2143	16
5	3616	16
6	4166	16
7	5002	16

prune4.0ms

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: 33.0b

Counts

2 → 1

localize21.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y)
0.1b	(* (+ (* (+ (* x y) z) y) 27464.7644705) y)
0.1b	(* (+ (* x y) z) y)
32.4b	(/ (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))

rewrite45.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 16

Calls

4 calls:

12.0ms	(* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y)
7.0ms	(* (+ (* (+ (* x y) z) y) 27464.7644705) y)
5.0ms	(* (+ (* x y) z) y)
21.0ms	(/ (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))

series467.0ms

Counts

4 → 12

Calls

4 calls:

76.0ms	(* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y)
51.0ms	(* (+ (* (+ (* x y) z) y) 27464.7644705) y)
31.0ms	(* (+ (* x y) z) y)
308.0ms	(/ (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))

simplify84.0ms

Algorithm

egg-herbie

Counts

28 → 28

Iterations

Useful iterations: 2 (22.0ms)

Iter	Nodes	Cost
0	253	191
1	833	168
2	3831	162
3	5001	162

prune163.0ms

Filtered

28 candidates to 22 candidates (78.6%)

Pruning

10 alts after pruning (10 fresh and 0 done)

	Pruned	Kept	Total
New	18	10	28
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	19	10	29

Merged error: 31.7b

Counts

29 → 10

localize27.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (+ (* (+ (* x y) z) y) 27464.7644705) y)
0.1b	(* (+ (* x y) z) y)
0.5b	(/ 2 (* (fma (fma (fma (+ y a) y b) y c) y i) 2))
32.2b	(* (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (/ 2 (* (fma (fma (fma (+ y a) y b) y c) y i) 2)))

rewrite56.0ms

Algorithm

rewrite-expression-head

Rules

10×	`frac-times`
8×	`flip3-+` `associate-/r*` `flip-+`
7×	`*-commutative`
6×	`associate-*l/`
5×	`associate-*r/` `clear-num`
4×	`frac-2neg`
2×	`div-inv`
1×	`associate-r` `un-div-inv`

Counts

4 → 31

Calls

4 calls:

13.0ms	(* (+ (* (+ (* x y) z) y) 27464.7644705) y)
8.0ms	(* (+ (* x y) z) y)
4.0ms	(/ 2 (* (fma (fma (fma (+ y a) y b) y c) y i) 2))
29.0ms	(* (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (/ 2 (* (fma (fma (fma (+ y a) y b) y c) y i) 2)))

series492.0ms

Counts

4 → 12

Calls

4 calls:

52.0ms	(* (+ (* (+ (* x y) z) y) 27464.7644705) y)
32.0ms	(* (+ (* x y) z) y)
56.0ms	(/ 2 (* (fma (fma (fma (+ y a) y b) y c) y i) 2))
353.0ms	(* (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (/ 2 (* (fma (fma (fma (+ y a) y b) y c) y i) 2)))

simplify33.0ms

Algorithm

egg-herbie

Counts

43 → 43

Iterations

Useful iterations: 2 (27.0ms)

Iter	Nodes	Cost
0	256	422
1	988	399
2	5001	380

prune225.0ms

Filtered

43 candidates to 32 candidates (74.4%)

Pruning

10 alts after pruning (9 fresh and 1 done)

	Pruned	Kept	Total
New	43	0	43
Fresh	0	9	9
Picked	0	1	1
Done	0	0	0
Total	43	10	53

Merged error: 31.7b

Counts

53 → 10

localize22.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (+ (* (+ (* x y) z) y) 27464.7644705) y)
0.1b	(* (+ (* x y) z) y)
0.4b	(/ 1 (/ (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i) (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t)))
32.4b	(/ (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i) (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t))

rewrite61.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 26

Calls

4 calls:

8.0ms	(* (+ (* (+ (* x y) z) y) 27464.7644705) y)
5.0ms	(* (+ (* x y) z) y)
25.0ms	(/ 1 (/ (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i) (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t)))
22.0ms	(/ (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i) (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t))

series951.0ms

Counts

4 → 12

Calls

4 calls:

52.0ms	(* (+ (* (+ (* x y) z) y) 27464.7644705) y)
38.0ms	(* (+ (* x y) z) y)
405.0ms	(/ 1 (/ (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i) (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t)))
456.0ms	(/ (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i) (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t))

simplify112.0ms

Algorithm

egg-herbie

Counts

38 → 38

Iterations

Useful iterations: 2 (25.0ms)

Iter	Nodes	Cost
0	239	290
1	810	244
2	4651	217
3	5001	217

prune228.0ms

Filtered

38 candidates to 30 candidates (78.9%)

Pruning

11 alts after pruning (10 fresh and 1 done)

	Pruned	Kept	Total
New	35	3	38
Fresh	1	7	8
Picked	0	1	1
Done	1	0	1
Total	37	11	48

Merged error: 31.7b

Counts

48 → 11

localize23.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (+ (* x y) z) y)
0.1b	(/ 1 (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t))
0.5b	(/ 1 (fma (fma (fma (+ y a) y b) y c) y i))
32.1b	(/ (/ 1 (fma (fma (fma (+ y a) y b) y c) y i)) (/ 1 (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t)))

rewrite37.0ms

Algorithm

rewrite-expression-head

Rules

9×	`associate-/r/` `div-inv`
5×	`frac-2neg` `clear-num`
4×	`flip3-+` `flip-+`
3×	`times-frac` `associate-/r*` `associate-/l/`
2×	`associate-*l/` `inv-pow`
1×	`-commutative` `associate-/l`

Counts

4 → 29

Calls

4 calls:

5.0ms	(* (+ (* x y) z) y)
12.0ms	(/ 1 (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t))
2.0ms	(/ 1 (fma (fma (fma (+ y a) y b) y c) y i))
18.0ms	(/ (/ 1 (fma (fma (fma (+ y a) y b) y c) y i)) (/ 1 (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t)))

series620.0ms

Counts

4 → 12

Calls

4 calls:

36.0ms	(* (+ (* x y) z) y)
111.0ms	(/ 1 (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t))
53.0ms	(/ 1 (fma (fma (fma (+ y a) y b) y c) y i))
420.0ms	(/ (/ 1 (fma (fma (fma (+ y a) y b) y c) y i)) (/ 1 (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t)))

simplify123.0ms

Algorithm

egg-herbie

Counts

41 → 41

Iterations

Useful iterations: 2 (22.0ms)

Iter	Nodes	Cost
0	192	276
1	724	244
2	4372	239
3	5001	239

prune165.0ms

Filtered

41 candidates to 27 candidates (65.9%)

Pruning

11 alts after pruning (9 fresh and 2 done)

	Pruned	Kept	Total
New	41	0	41
Fresh	0	9	9
Picked	0	1	1
Done	0	1	1
Total	41	11	52

Merged error: 31.7b

Counts

52 → 11

regimes590.0ms

Accuracy

0% (1.2b remaining)

Error of 29.0b against oracle of 27.8b and baseline of 29.0b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	37	15
1	37	15

end0.0ms

sample927.0ms

Algorithm

intervals

Results

557.0ms

8232×

body

valid