Details

sample22.0ms

Algorithm

intervals

Results

9.0ms	309×	body	80	valid
1.0ms	8×	body	640	valid
1.0ms	5×	body	1280	valid
0.0ms	7×	body	160	valid
0.0ms	4×	body	320	valid

simplify72.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 1 (3.0ms)

Iter	Nodes	Cost
0	21	6
1	51	5
2	172	5
3	481	5
4	1241	5
5	3102	5
6	5001	5

prune6.0ms

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

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b	(- (/ 2.0 3.0) z)
0.0b	(* 6.0 (- (/ 2.0 3.0) z))
0.1b	(fma (- y x) (* 6.0 (- (/ 2.0 3.0) z)) x)

rewrite9.0ms

Algorithm

rewrite-expression-head

Rules

3×	`sub-neg`
2×	`distribute-rgt-in` `flip3--` `distribute-lft-in` `associate-*r/` `flip--`
1×	`fma-neg` `*-commutative` `fma-udef` `div-inv`

Counts

3 → 13

Calls

3 calls:

3.0ms	(- (/ 2.0 3.0) z)
4.0ms	(* 6.0 (- (/ 2.0 3.0) z))
1.0ms	(fma (- y x) (* 6.0 (- (/ 2.0 3.0) z)) x)

series110.0ms

Counts

3 → 9

Calls

3 calls:

20.0ms	(- (/ 2.0 3.0) z)
36.0ms	(* 6.0 (- (/ 2.0 3.0) z))
53.0ms	(fma (- y x) (* 6.0 (- (/ 2.0 3.0) z)) x)

simplify112.0ms

Algorithm

egg-herbie

Counts

22 → 22

Iterations

Useful iterations: 3 (18.0ms)

Iter	Nodes	Cost
0	110	78
1	255	78
2	616	78
3	1657	75
4	4622	75
5	5001	75

prune42.0ms

Filtered

22 candidates to 13 candidates (59.1%)

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	19	3	22
Fresh	0	1	1
Picked	1	0	1
Done	0	0	0
Total	20	4	24

Merged error: 0.1b

Counts

24 → 4

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b	(- 4.0 (* 6.0 z))
0.1b	(fma (- y x) (- 4.0 (* 6.0 z)) x)

rewrite3.0ms

Algorithm

rewrite-expression-head

Rules

1×	`sub-neg` `flip3--` `flip--` `fma-udef`

Counts

2 → 5

Calls

2 calls:

2.0ms	(- 4.0 (* 6.0 z))
1.0ms	(fma (- y x) (- 4.0 (* 6.0 z)) x)

series85.0ms

Counts

2 → 6

Calls

2 calls:

36.0ms	(- 4.0 (* 6.0 z))
49.0ms	(fma (- y x) (- 4.0 (* 6.0 z)) x)

simplify91.0ms

Algorithm

egg-herbie

Counts

11 → 11

Iterations

Useful iterations: 3 (20.0ms)

Iter	Nodes	Cost
0	92	48
1	244	45
2	673	44
3	1534	42
4	3347	42
5	5001	42

prune16.0ms

Filtered

11 candidates to 4 candidates (36.4%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	11	0	11
Fresh	0	3	3
Picked	0	1	1
Done	0	0	0
Total	11	4	15

Merged error: 0.1b

Counts

15 → 4

localize8.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (/ 2.0 3.0) z)
0.0b	(+ x (* (* (- y x) 6.0) (- (/ 2.0 3.0) z)))
0.0b	(* (- y x) 6.0)
0.3b	(* (* (- y x) 6.0) (- (/ 2.0 3.0) z))

rewrite22.0ms

Algorithm

rewrite-expression-head

Rules

10×	`associate-*l/`
8×	`flip3--` `flip--`
5×	`sub-neg`
4×	`distribute-rgt-in` `frac-times` `associate-+r+` `distribute-lft-in`
3×	`*-commutative`
2×	`associate-r/` `associate-l*`
1×	`+-commutative` `flip3-+` `fma-neg` `flip-+` `div-inv`

Counts

4 → 30

Calls

4 calls:

3.0ms	(- (/ 2.0 3.0) z)
5.0ms	(+ x (* (* (- y x) 6.0) (- (/ 2.0 3.0) z)))
3.0ms	(* (- y x) 6.0)
7.0ms	(* (* (- y x) 6.0) (- (/ 2.0 3.0) z))

series149.0ms

Counts

4 → 12

Calls

4 calls:

18.0ms	(- (/ 2.0 3.0) z)
61.0ms	(+ x (* (* (- y x) 6.0) (- (/ 2.0 3.0) z)))
28.0ms	(* (- y x) 6.0)
42.0ms	(* (* (- y x) 6.0) (- (/ 2.0 3.0) z))

simplify34.0ms

Algorithm

egg-herbie

Counts

42 → 42

Iterations

Useful iterations: 2 (29.0ms)

Iter	Nodes	Cost
0	272	269
1	1103	261
2	5002	259

prune94.0ms

Filtered

42 candidates to 29 candidates (69.0%)

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	37	5	42
Fresh	2	0	2
Picked	1	0	1
Done	1	0	1
Total	41	5	46

Merged error: 0.0b

Counts

46 → 5

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (- y x) 6.0)
0.2b	(fma (* (/ 2.0 3.0) (- y x)) 6.0 x)
0.2b	(* (- z) (* (- y x) 6.0))
0.3b	(* (/ 2.0 3.0) (- y x))

rewrite16.0ms

Algorithm

rewrite-expression-head

Rules

7×	`associate-*l/`
6×	`frac-times` `flip3--` `flip--`
4×	`associate-r/` `-commutative`
3×	`frac-2neg` `clear-num`
2×	`distribute-rgt-in` `sub-neg` `distribute-lft-in` `associate-r` `associate-l`
1×	`distribute-lft-neg-out` `neg-mul-1` `fma-udef` `div-inv`

Counts

4 → 28

Calls

4 calls:

3.0ms	(* (- y x) 6.0)
1.0ms	(fma (* (/ 2.0 3.0) (- y x)) 6.0 x)
7.0ms	(* (- z) (* (- y x) 6.0))
4.0ms	(* (/ 2.0 3.0) (- y x))

series147.0ms

Counts

4 → 12

Calls

4 calls:

28.0ms	(* (- y x) 6.0)
45.0ms	(fma (* (/ 2.0 3.0) (- y x)) 6.0 x)
44.0ms	(* (- z) (* (- y x) 6.0))
29.0ms	(* (/ 2.0 3.0) (- y x))

simplify61.0ms

Algorithm

egg-herbie

Counts

40 → 40

Iterations

Useful iterations: 3 (58.0ms)

Iter	Nodes	Cost
0	228	152
1	770	149
2	3711	149
3	5001	148

prune88.0ms

Filtered

40 candidates to 27 candidates (67.5%)

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	36	4	40
Fresh	3	1	4
Picked	1	0	1
Done	0	0	0
Total	40	5	45

Merged error: 0.0b

Counts

45 → 5

regimes89.0ms

Accuracy

0% (0.1b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 0.2b

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	21	8
1	25	8
2	32	8
3	32	8

end0.0ms

sample562.0ms

Algorithm

intervals

Results

277.0ms	9402×	body	80	valid
28.0ms	271×	body	640	valid
20.0ms	150×	body	1280	valid
16.0ms	202×	body	320	valid
7.0ms	135×	body	160	valid