Details

sample28.0ms

Algorithm

intervals

Results

12.0ms

366×

body

valid

simplify72.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	27	6
1	91	6
2	289	6
3	770	6
4	1514	6
5	1860	6
6	1885	6
7	1885	6

prune3.0ms

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: 6.2b

Counts

2 → 1

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b	(- (* x y) (* (* z 9.0) t))
0.3b	(* (* z 9.0) t)
5.8b	(/ (- (* x y) (* (* z 9.0) t)) (* a 2.0))

rewrite22.0ms

Algorithm

rewrite-expression-head

Rules

12×	`*-commutative`
8×	`prod-diff`
6×	`associate-l`
2×	`flip3--` `fma-neg` `associate-/r*` `flip--` `associate-/l/`
1×	`sub-neg` `frac-2neg` `div-sub` `clear-num` `div-inv`

Counts

3 → 25

Calls

3 calls:

9.0ms	(- (* x y) (* (* z 9.0) t))
3.0ms	(* (* z 9.0) t)
9.0ms	(/ (- (* x y) (* (* z 9.0) t)) (* a 2.0))

series144.0ms

Counts

3 → 9

Calls

3 calls:

57.0ms	(- (* x y) (* (* z 9.0) t))
19.0ms	(* (* z 9.0) t)
68.0ms	(/ (- (* x y) (* (* z 9.0) t)) (* a 2.0))

simplify109.0ms

Algorithm

egg-herbie

Counts

34 → 34

Iterations

Useful iterations: 3 (105.0ms)

Iter	Nodes	Cost
0	207	185
1	749	173
2	3224	173
3	5001	140

prune88.0ms

Filtered

34 candidates to 20 candidates (58.8%)

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	26	8	34
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	27	8	35

Merged error: 5.8b

Counts

35 → 8

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b	(fma x y (- (* (* 9.0 t) z)))
0.2b	(* (* 9.0 t) z)
5.8b	(/ (fma x y (- (* (* 9.0 t) z))) (* a 2.0))

rewrite8.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 9

Calls

3 calls:

1.0ms	(fma x y (- (* (* 9.0 t) z)))
3.0ms	(* (* 9.0 t) z)
3.0ms	(/ (fma x y (- (* (* 9.0 t) z))) (* a 2.0))

series159.0ms

Counts

3 → 9

Calls

3 calls:

60.0ms	(fma x y (- (* (* 9.0 t) z)))
21.0ms	(* (* 9.0 t) z)
77.0ms	(/ (fma x y (- (* (* 9.0 t) z))) (* a 2.0))

simplify92.0ms

Algorithm

egg-herbie

Counts

18 → 18

Iterations

Useful iterations: 3 (13.0ms)

Iter	Nodes	Cost
0	68	49
1	147	49
2	328	49
3	671	48
4	1507	48
5	2401	48
6	2566	48
7	2650	48
8	2650	48

prune53.0ms

Filtered

18 candidates to 11 candidates (61.1%)

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	16	2	18
Fresh	2	5	7
Picked	1	0	1
Done	0	0	0
Total	19	7	26

Merged error: 5.8b

Counts

26 → 7

localize15.0ms

Local error

Found 3 expressions with local error:

0.0b	(fma (- y) x (* 9.0 (* t z)))
0.2b	(* 9.0 (* t z))
5.8b	(/ (fma (- y) x (* 9.0 (* t z))) (- (* a 2.0)))

rewrite8.0ms

Algorithm

rewrite-expression-head

Rules

5×	`associate-/r*`
4×	`*-commutative`
2×	`distribute-lft-neg-in` `distribute-rgt-neg-in` `associate-r`
1×	`neg-mul-1` `frac-2neg` `clear-num` `fma-udef` `div-inv`

Counts

3 → 12

Calls

3 calls:

1.0ms	(fma (- y) x (* 9.0 (* t z)))
3.0ms	(* 9.0 (* t z))
3.0ms	(/ (fma (- y) x (* 9.0 (* t z))) (- (* a 2.0)))

series155.0ms

Counts

3 → 9

Calls

3 calls:

54.0ms	(fma (- y) x (* 9.0 (* t z)))
28.0ms	(* 9.0 (* t z))
73.0ms	(/ (fma (- y) x (* 9.0 (* t z))) (- (* a 2.0)))

simplify99.0ms

Algorithm

egg-herbie

Counts

21 → 21

Iterations

Useful iterations: 2 (7.0ms)

Iter	Nodes	Cost
0	70	68
1	143	68
2	319	67
3	861	67
4	1648	67
5	2174	67
6	2455	67
7	2617	67
8	2617	67

prune66.0ms

Filtered

21 candidates to 15 candidates (71.4%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	21	0	21
Fresh	0	6	6
Picked	0	1	1
Done	0	0	0
Total	21	7	28

Merged error: 5.8b

Counts

28 → 7

localize15.0ms

Local error

Found 3 expressions with local error:

0.0b	(fma x y (- (* (* 9.0 t) z)))
0.2b	(* (* 9.0 t) z)
5.8b	(* (fma x y (- (* (* 9.0 t) z))) (/ 1 (* a 2.0)))

rewrite8.0ms

Algorithm

rewrite-expression-head

Rules

5×	`associate-*r/`
4×	`*-commutative`
2×	`associate-l` `clear-num` `associate-/r*` `un-div-inv`
1×	`frac-2neg` `associate-r` `fma-udef` `div-inv`

Counts

3 → 13

Calls

3 calls:

1.0ms	(fma x y (- (* (* 9.0 t) z)))
3.0ms	(* (* 9.0 t) z)
4.0ms	(* (fma x y (- (* (* 9.0 t) z))) (/ 1 (* a 2.0)))

series162.0ms

Counts

3 → 9

Calls

3 calls:

61.0ms	(fma x y (- (* (* 9.0 t) z)))
27.0ms	(* (* 9.0 t) z)
74.0ms	(* (fma x y (- (* (* 9.0 t) z))) (/ 1 (* a 2.0)))

simplify64.0ms

Algorithm

egg-herbie

Counts

22 → 22

Iterations

Useful iterations: 3 (27.0ms)

Iter	Nodes	Cost
0	67	51
1	189	51
2	786	51
3	3529	50
4	5002	50

prune39.0ms

Filtered

22 candidates to 11 candidates (50.0%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	22	0	22
Fresh	0	5	5
Picked	0	1	1
Done	0	1	1
Total	22	7	29

Merged error: 5.8b

Counts

29 → 7

regimes431.0ms

Accuracy

0% (0.4b remaining)

Error of 7.6b against oracle of 7.2b and baseline of 7.6b

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	21	7
1	23	7
2	23	7

end0.0ms

sample962.0ms

Algorithm

intervals

Results

623.0ms

11206×

body

valid