Details

sample25.0ms

Algorithm

intervals

Results

11.0ms

262×

body

valid

simplify139.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	24	8
1	43	8
2	75	8
3	120	8
4	156	8
5	189	8
6	265	8
7	451	8
8	1023	8
9	3632	8
10	5001	8

prune7.0ms

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: 22.7b

Counts

2 → 1

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b	(* z (- t a))
0.0b	(* z (- b y))
0.2b	(+ (* x y) (* z (- t a)))
21.9b	(/ (+ (* x y) (* z (- t a))) (+ y (* z (- b y))))

rewrite23.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 30

Calls

4 calls:

4.0ms	(* z (- t a))
4.0ms	(* z (- b y))
5.0ms	(+ (* x y) (* z (- t a)))
10.0ms	(/ (+ (* x y) (* z (- t a))) (+ y (* z (- b y))))

series527.0ms

Counts

4 → 12

Calls

4 calls:

45.0ms	(* z (- t a))
41.0ms	(* z (- b y))
53.0ms	(+ (* x y) (* z (- t a)))
387.0ms	(/ (+ (* x y) (* z (- t a))) (+ y (* z (- b y))))

simplify104.0ms

Algorithm

egg-herbie

Counts

42 → 42

Iterations

Useful iterations: 3 (100.0ms)

Iter	Nodes	Cost
0	198	165
1	741	158
2	3633	158
3	5001	157

prune131.0ms

Filtered

42 candidates to 24 candidates (57.1%)

Pruning

10 alts after pruning (10 fresh and 0 done)

	Pruned	Kept	Total
New	32	10	42
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	33	10	43

Merged error: 22.1b

Counts

43 → 10

localize12.0ms

Local error

Found 3 expressions with local error:

0.0b	(* z (- t a))
0.0b	(* z (- b y))
21.9b	(/ (fma x y (* z (- t a))) (+ y (* z (- b y))))

rewrite12.0ms

Algorithm

rewrite-expression-head

Rules

4×	`distribute-rgt-in` `sub-neg` `distribute-lft-in` `associate-*r/`
2×	`flip3--` `associate-/r/` `*-commutative` `flip--`
1×	`frac-2neg` `flip3-+` `clear-num` `flip-+` `div-inv`

Counts

3 → 19

Calls

3 calls:

3.0ms	(* z (- t a))
3.0ms	(* z (- b y))
4.0ms	(/ (fma x y (* z (- t a))) (+ y (* z (- b y))))

series450.0ms

Counts

3 → 9

Calls

3 calls:

43.0ms	(* z (- t a))
37.0ms	(* z (- b y))
369.0ms	(/ (fma x y (* z (- t a))) (+ y (* z (- b y))))

simplify131.0ms

Algorithm

egg-herbie

Counts

28 → 28

Iterations

Useful iterations: 4 (128.0ms)

Iter	Nodes	Cost
0	123	91
1	355	90
2	1356	90
3	4938	90
4	5001	89

prune90.0ms

Filtered

28 candidates to 14 candidates (50.0%)

Pruning

10 alts after pruning (9 fresh and 1 done)

	Pruned	Kept	Total
New	26	2	28
Fresh	2	7	9
Picked	0	1	1
Done	0	0	0
Total	28	10	38

Merged error: 22.1b

Counts

38 → 10

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b	(* z (- b y))
0.2b	(+ (* x y) (* z (- t a)))
0.2b	(/ 1 (/ (+ y (* z (- b y))) (+ (* x y) (* z (- t a)))))
22.0b	(/ (+ y (* z (- b y))) (+ (* x y) (* z (- t a))))

rewrite28.0ms

Algorithm

rewrite-expression-head

Rules

9×	`associate-/r/`
5×	`flip3-+` `flip-+`
4×	`distribute-rgt-in` `sub-neg` `associate-+r+` `distribute-lft-in` `clear-num` `associate-/l/`
3×	`frac-2neg` `associate-/r*` `div-inv`
2×	`fma-def` `associate-r/` `-commutative`
1×	`+-commutative` `flip3--` `flip--` `remove-double-div` `inv-pow`

Counts

4 → 36

Calls

4 calls:

4.0ms	(* z (- b y))
5.0ms	(+ (* x y) (* z (- t a)))
8.0ms	(/ 1 (/ (+ y (* z (- b y))) (+ (* x y) (* z (- t a)))))
9.0ms	(/ (+ y (* z (- b y))) (+ (* x y) (* z (- t a))))

series1.4s

Counts

4 → 12

Calls

4 calls:

42.0ms	(* z (- b y))
45.0ms	(+ (* x y) (* z (- t a)))
888.0ms	(/ 1 (/ (+ y (* z (- b y))) (+ (* x y) (* z (- t a)))))
468.0ms	(/ (+ y (* z (- b y))) (+ (* x y) (* z (- t a))))

simplify116.0ms

Algorithm

egg-herbie

Counts

48 → 48

Iterations

Useful iterations: 2 (31.0ms)

Iter	Nodes	Cost
0	202	213
1	752	205
2	4041	192
3	5001	192

prune171.0ms

Filtered

48 candidates to 34 candidates (70.8%)

Pruning

11 alts after pruning (10 fresh and 1 done)

	Pruned	Kept	Total
New	43	5	48
Fresh	3	5	8
Picked	1	0	1
Done	0	1	1
Total	47	11	58

Merged error: 22.1b

Counts

58 → 11

localize16.0ms

Local error

Found 4 expressions with local error:

0.0b	(* z (- b y))
0.2b	(/ 1 (/ (+ y (* z (- b y))) (+ (fma x y (* t z)) (* z (- a)))))
0.5b	(+ (fma x y (* t z)) (* z (- a)))
22.0b	(/ (+ y (* z (- b y))) (+ (fma x y (* t z)) (* z (- a))))

rewrite22.0ms

Algorithm

rewrite-expression-head

Rules

9×	`associate-/r/`
5×	`flip3-+` `flip-+`
4×	`clear-num` `associate-/l/`
3×	`frac-2neg` `associate-/r*` `div-inv`
2×	`distribute-rgt-in` `sub-neg` `distribute-lft-in` `associate-*r/` `distribute-rgt-neg-out`
1×	`+-commutative` `associate-+l+` `flip3--` `unsub-neg` `*-commutative` `flip--` `fma-udef` `remove-double-div` `inv-pow`

Counts

4 → 33

Calls

4 calls:

3.0ms	(* z (- b y))
7.0ms	(/ 1 (/ (+ y (* z (- b y))) (+ (fma x y (* t z)) (* z (- a)))))
3.0ms	(+ (fma x y (* t z)) (* z (- a)))
7.0ms	(/ (+ y (* z (- b y))) (+ (fma x y (* t z)) (* z (- a))))

series1.2s

Counts

4 → 12

Calls

4 calls:

41.0ms	(* z (- b y))
832.0ms	(/ 1 (/ (+ y (* z (- b y))) (+ (fma x y (* t z)) (* z (- a)))))
48.0ms	(+ (fma x y (* t z)) (* z (- a)))
281.0ms	(/ (+ y (* z (- b y))) (+ (fma x y (* t z)) (* z (- a))))

simplify116.0ms

Algorithm

egg-herbie

Counts

45 → 45

Iterations

Useful iterations: 2 (27.0ms)

Iter	Nodes	Cost
0	191	235
1	821	213
2	4689	193
3	5001	193

prune136.0ms

Filtered

45 candidates to 33 candidates (73.3%)

Pruning

11 alts after pruning (9 fresh and 2 done)

	Pruned	Kept	Total
New	42	3	45
Fresh	3	6	9
Picked	0	1	1
Done	0	1	1
Total	45	11	56

Merged error: 22.1b

Counts

56 → 11

regimes393.0ms

Accuracy

0% (0.6b remaining)

Error of 23.5b against oracle of 22.9b and baseline of 23.5b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	7
1	16	7

end0.0ms

sample628.0ms

Algorithm

intervals

Results

348.0ms

8409×

body

valid