Details

sample25.0ms

Algorithm

intervals

Results

7.0ms	230×	body	80	valid
2.0ms	16×	body	640	valid
2.0ms	12×	body	1280	valid
1.0ms	11×	body	320	valid
0.0ms	7×	body	160	valid
0.0ms	1×	body	2560	valid

simplify126.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	22	6
1	52	6
2	109	6
3	195	6
4	445	6
5	828	6
6	1434	6
7	2520	6
8	4830	6
9	5003	6

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: 17.6b

Counts

2 → 1

localize12.0ms

Local error

Found 3 expressions with local error:

0.0b	(* (- z t) y)
2.1b	(- (+ x y) (/ (* (- z t) y) (- a t)))
13.5b	(/ (* (- z t) y) (- a t))

rewrite16.0ms

Algorithm

rewrite-expression-head

Rules

14×	`frac-sub`
8×	`associate-*l/`
7×	`flip3-+` `flip-+`
6×	`flip3--` `flip--` `associate-/l/` `associate-/l*`
4×	`*-commutative`
3×	`frac-2neg` `clear-num`
2×	`associate--l+` `associate-/r/`
1×	`+-commutative` `sub-neg` `div-inv`

Counts

3 → 32

Calls

3 calls:

3.0ms	(* (- z t) y)
7.0ms	(- (+ x y) (/ (* (- z t) y) (- a t)))
5.0ms	(/ (* (- z t) y) (- a t))

series199.0ms

Counts

3 → 9

Calls

3 calls:

28.0ms	(* (- z t) y)
112.0ms	(- (+ x y) (/ (* (- z t) y) (- a t)))
59.0ms	(/ (* (- z t) y) (- a t))

simplify52.0ms

Algorithm

egg-herbie

Counts

41 → 41

Iterations

Useful iterations: 1 (10.0ms)

Iter	Nodes	Cost
0	356	407
1	1814	400
2	5001	400

prune132.0ms

Filtered

41 candidates to 35 candidates (85.4%)

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	34	7	41
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	35	7	42

Merged error: 4.1b

Counts

42 → 7

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ (- a t) y)
2.3b	(- (+ x y) (/ (- z t) (/ (- a t) y)))
9.5b	(/ (- z t) (/ (- a t) y))

rewrite15.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 37

Calls

3 calls:

3.0ms	(/ (- a t) y)
6.0ms	(- (+ x y) (/ (- z t) (/ (- a t) y)))
4.0ms	(/ (- z t) (/ (- a t) y))

series231.0ms

Counts

3 → 9

Calls

3 calls:

29.0ms	(/ (- a t) y)
107.0ms	(- (+ x y) (/ (- z t) (/ (- a t) y)))
95.0ms	(/ (- z t) (/ (- a t) y))

simplify52.0ms

Algorithm

egg-herbie

Counts

46 → 46

Iterations

Useful iterations: 2 (46.0ms)

Iter	Nodes	Cost
0	378	404
1	1880	396
2	5001	395

prune133.0ms

Filtered

46 candidates to 36 candidates (78.3%)

Pruning

10 alts after pruning (10 fresh and 0 done)

	Pruned	Kept	Total
New	40	6	46
Fresh	2	4	6
Picked	1	0	1
Done	0	0	0
Total	43	10	53

Merged error: 4.0b

Counts

53 → 10

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ x (- y (/ (- z t) (/ (- a t) y))))
0.0b	(/ (- a t) y)
2.5b	(- y (/ (- z t) (/ (- a t) y)))
9.5b	(/ (- z t) (/ (- a t) y))

rewrite17.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 30

Calls

4 calls:

3.0ms	(+ x (- y (/ (- z t) (/ (- a t) y))))
3.0ms	(/ (- a t) y)
5.0ms	(- y (/ (- z t) (/ (- a t) y)))
4.0ms	(/ (- z t) (/ (- a t) y))

series312.0ms

Counts

4 → 12

Calls

4 calls:

109.0ms	(+ x (- y (/ (- z t) (/ (- a t) y))))
25.0ms	(/ (- a t) y)
81.0ms	(- y (/ (- z t) (/ (- a t) y)))
97.0ms	(/ (- z t) (/ (- a t) y))

simplify92.0ms

Algorithm

egg-herbie

Counts

42 → 42

Iterations

Useful iterations: 2 (31.0ms)

Iter	Nodes	Cost
0	223	180
1	665	180
2	2564	178
3	5002	178

prune106.0ms

Filtered

42 candidates to 30 candidates (71.4%)

Pruning

9 alts after pruning (9 fresh and 0 done)

	Pruned	Kept	Total
New	38	4	42
Fresh	4	5	9
Picked	1	0	1
Done	0	0	0
Total	43	9	52

Merged error: 4.0b

Counts

52 → 9

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ y (- a t))
0.1b	(/ 1 (/ y (- a t)))
4.9b	(- y (/ (- z t) (/ 1 (/ y (- a t)))))
9.5b	(/ (- z t) (/ 1 (/ y (- a t))))

rewrite15.0ms

Algorithm

rewrite-expression-head

Rules

18×	`associate-/r/`
10×	`associate-/r*`
7×	`clear-num`
6×	`frac-2neg` `div-inv`
5×	`flip3--` `flip--`
2×	`div-sub` `associate-/l/`
1×	`sub-neg` `remove-double-div` `inv-pow` `associate--r-`

Counts

4 → 37

Calls

4 calls:

2.0ms	(/ y (- a t))
4.0ms	(/ 1 (/ y (- a t)))
2.0ms	(- y (/ (- z t) (/ 1 (/ y (- a t)))))
5.0ms	(/ (- z t) (/ 1 (/ y (- a t))))

series202.0ms

Counts

4 → 12

Calls

4 calls:

26.0ms	(/ y (- a t))
34.0ms	(/ 1 (/ y (- a t)))
82.0ms	(- y (/ (- z t) (/ 1 (/ y (- a t)))))
59.0ms	(/ (- z t) (/ 1 (/ y (- a t))))

simplify95.0ms

Algorithm

egg-herbie

Counts

49 → 49

Iterations

Useful iterations: 2 (23.0ms)

Iter	Nodes	Cost
0	184	166
1	691	157
2	3802	154
3	5001	154

prune104.0ms

Filtered

49 candidates to 33 candidates (67.3%)

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	47	2	49
Fresh	2	6	8
Picked	0	1	1
Done	0	0	0
Total	49	9	58

Merged error: 4.0b

Counts

58 → 9

regimes173.0ms

Accuracy

0% (5.7b remaining)

Error of 9.8b against oracle of 4.1b and baseline of 9.8b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	7
1	16	7

end0.0ms

sample668.0ms

Algorithm

intervals

Results

249.0ms	7296×	body	80	valid
57.0ms	474×	body	640	valid
41.0ms	268×	body	1280	valid
40.0ms	414×	body	320	valid
15.0ms	233×	body	160	valid
3.0ms	16×	body	2560	valid