Details

sample17.0ms

Algorithm

intervals

Results

8.0ms

327×

body

valid

simplify19.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	12	3
1	19	3
2	28	3
3	40	3
4	50	3
5	73	3
6	102	3
7	118	3
8	145	3
9	174	3
10	190	3
11	190	3

prune2.0ms

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: 0.0b

Counts

2 → 1

localize9.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (- y x) z)
0.0b	(+ x (/ (- y x) z))

rewrite7.0ms

Algorithm

rewrite-expression-head

Rules

2×	`div-sub` `associate-/l/`
1×	`+-commutative` `associate-+r-` `flip3--` `frac-2neg` `flip3-+` `clear-num` `flip--` `flip-+` `div-inv`

Counts

2 → 10

Calls

2 calls:

3.0ms	(/ (- y x) z)
3.0ms	(+ x (/ (- y x) z))

series48.0ms

Counts

2 → 6

Calls

2 calls:

25.0ms	(/ (- y x) z)
22.0ms	(+ x (/ (- y x) z))

simplify65.0ms

Algorithm

egg-herbie

Counts

16 → 16

Iterations

Useful iterations: 4 (63.0ms)

Iter	Nodes	Cost
0	96	54
1	251	53
2	818	53
3	3436	52
4	5002	51

prune31.0ms

Filtered

16 candidates to 10 candidates (62.5%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	14	2	16
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	15	2	17

Merged error: 0.0b

Counts

17 → 2

localize12.0ms

Local error

Found 2 expressions with local error:

0.0b	(- (/ y z) (/ x z))
0.0b	(+ x (- (/ y z) (/ x z)))

rewrite17.0ms

Algorithm

rewrite-expression-head

Rules

9×	`frac-sub`
8×	`frac-2neg`
7×	`div-inv`
6×	`clear-num`
3×	`associate-+r+`
2×	`sub-neg` `prod-diff` `sub-div`
1×	`+-commutative` `associate-+r-` `flip3--` `distribute-rgt-out--` `flip3-+` `fma-neg` `flip--` `flip-+`

Counts

2 → 25

Calls

2 calls:

8.0ms	(- (/ y z) (/ x z))
7.0ms	(+ x (- (/ y z) (/ x z)))

series61.0ms

Counts

2 → 6

Calls

2 calls:

27.0ms	(- (/ y z) (/ x z))
34.0ms	(+ x (- (/ y z) (/ x z)))

simplify85.0ms

Algorithm

egg-herbie

Counts

31 → 31

Iterations

Useful iterations: 3 (81.0ms)

Iter	Nodes	Cost
0	230	171
1	795	150
2	3682	140
3	5001	135

prune59.0ms

Filtered

31 candidates to 22 candidates (71.0%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	30	1	31
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	30	3	33

Merged error: 0.0b

Counts

33 → 3

localize12.0ms

Local error

Found 3 expressions with local error:

0.2b	(fma (/ 1 z) (- y x) x)
0.2b	(* (/ 1 z) x)
53.2b	(fma (- (/ 1 z)) x (* (/ 1 z) x))

rewrite5.0ms

Algorithm

rewrite-expression-head

Rules

3×	`associate-*l/`
2×	`fma-udef`
1×	`frac-2neg` `associate-l` `clear-num` `*-commutative` `div-inv`

Counts

3 → 7

Calls

3 calls:

1.0ms	(fma (/ 1 z) (- y x) x)
3.0ms	(* (/ 1 z) x)
1.0ms	(fma (- (/ 1 z)) x (* (/ 1 z) x))

series50.0ms

Counts

3 → 9

Calls

3 calls:

23.0ms	(fma (/ 1 z) (- y x) x)
8.0ms	(* (/ 1 z) x)
19.0ms	(fma (- (/ 1 z)) x (* (/ 1 z) x))

simplify149.0ms

Algorithm

egg-herbie

Counts

16 → 16

Iterations

Useful iterations: 2 (5.0ms)

Iter	Nodes	Cost
0	37	22
1	116	21
2	267	18
3	416	18
4	584	18
5	986	18
6	2697	18
7	5002	18

prune29.0ms

Filtered

16 candidates to 9 candidates (56.3%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	16	0	16
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	16	3	19

Merged error: 0.0b

Counts

19 → 3

localize16.0ms

Local error

Found 4 expressions with local error:

2.1b	(- (pow y 3) (pow x 3))
2.3b	(fma x x (* y x))
2.7b	(* (fma y y (fma x x (* y x))) z)
38.2b	(/ (- (pow y 3) (pow x 3)) (* (fma y y (fma x x (* y x))) z))

rewrite15.0ms

Algorithm

rewrite-expression-head

Rules

13×	`sqr-pow`
5×	`unpow3`
4×	`difference-cubes` `times-frac` `prod-diff` `*-commutative` `difference-of-squares`
2×	`flip3--` `fma-neg` `associate-/r` `flip--` `associate-/l/` `associate-/l`
1×	`sub-neg` `frac-2neg` `div-sub` `clear-num` `fma-udef` `div-inv`

Counts

4 → 28

Calls

4 calls:

4.0ms	(- (pow y 3) (pow x 3))
1.0ms	(fma x x (* y x))
2.0ms	(* (fma y y (fma x x (* y x))) z)
7.0ms	(/ (- (pow y 3) (pow x 3)) (* (fma y y (fma x x (* y x))) z))

series206.0ms

Counts

4 → 12

Calls

4 calls:

50.0ms	(- (pow y 3) (pow x 3))
34.0ms	(fma x x (* y x))
37.0ms	(* (fma y y (fma x x (* y x))) z)
85.0ms	(/ (- (pow y 3) (pow x 3)) (* (fma y y (fma x x (* y x))) z))

simplify119.0ms

Algorithm

egg-herbie

Counts

40 → 40

Iterations

Useful iterations: 2 (21.0ms)

Iter	Nodes	Cost
0	205	228
1	726	213
2	3861	204
3	5001	204

prune100.0ms

Filtered

40 candidates to 26 candidates (65.0%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	40	0	40
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	40	3	43

Merged error: 0.0b

Counts

43 → 3

regimes54.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	4
1	8	4

end0.0ms

sample446.0ms

Algorithm

intervals

Results

241.0ms

10137×

body

valid