Details

sample17.0ms

Algorithm

intervals

Results

8.0ms

260×

body

valid

simplify78.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	25	6
1	67	6
2	145	6
3	241	6
4	301	6
5	355	6
6	396	6
7	444	6
8	529	6
9	744	6
10	2218	6
11	5001	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: 17.8b

Counts

2 → 1

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b	(* (+ t1 u) (+ t1 u))
17.5b	(/ (* (- t1) v) (* (+ t1 u) (+ t1 u)))

rewrite13.0ms

Algorithm

rewrite-expression-head

Rules

12×	`flip3-+` `flip-+`
8×	`frac-times` `associate-/r/` `*-commutative`
6×	`times-frac`
4×	`associate-r/` `associate-l/`
3×	`neg-mul-1` `associate-l` `associate-/l*`
2×	`+-commutative` `distribute-rgt-in` `distribute-lft-in` `associate-/r*`
1×	`distribute-lft-neg-out` `pow2` `frac-2neg` `distribute-frac-neg` `clear-num` `div-inv`

Counts

2 → 37

Calls

2 calls:

4.0ms	(* (+ t1 u) (+ t1 u))
7.0ms	(/ (* (- t1) v) (* (+ t1 u) (+ t1 u)))

series93.0ms

Counts

2 → 6

Calls

2 calls:

15.0ms	(* (+ t1 u) (+ t1 u))
79.0ms	(/ (* (- t1) v) (* (+ t1 u) (+ t1 u)))

simplify87.0ms

Algorithm

egg-herbie

Counts

43 → 43

Iterations

Useful iterations: 3 (82.0ms)

Iter	Nodes	Cost
0	228	253
1	764	248
2	3580	246
3	5001	243

prune81.0ms

Filtered

43 candidates to 27 candidates (62.8%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	40	3	43
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	40	4	44

Merged error: 0.0b

Counts

44 → 4

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ v (+ t1 u))
0.0b	(/ (- t1) (+ t1 u))
1.5b	(* (/ v (+ t1 u)) (/ (- t1) (+ t1 u)))

rewrite15.0ms

Algorithm

rewrite-expression-head

Rules

12×	`frac-times` `clear-num`
11×	`frac-2neg`
8×	`associate-/r/`
5×	`neg-mul-1` `associate-/l*`
4×	`flip3-+` `associate-*r/` `flip-+` `div-inv`
3×	`associate-r` `associate-l` `associate-*l/`
2×	`distribute-frac-neg`
1×	`neg-sub0` `div-sub` `un-div-inv` `*-commutative` `distribute-rgt-neg-out`

Counts

3 → 41

Calls

3 calls:

3.0ms	(/ v (+ t1 u))
4.0ms	(/ (- t1) (+ t1 u))
7.0ms	(* (/ v (+ t1 u)) (/ (- t1) (+ t1 u)))

series126.0ms

Counts

3 → 9

Calls

3 calls:

24.0ms	(/ v (+ t1 u))
46.0ms	(/ (- t1) (+ t1 u))
55.0ms	(* (/ v (+ t1 u)) (/ (- t1) (+ t1 u)))

simplify95.0ms

Algorithm

egg-herbie

Counts

50 → 50

Iterations

Useful iterations: 2 (27.0ms)

Iter	Nodes	Cost
0	207	168
1	946	167
2	4217	165
3	5002	165

prune103.0ms

Filtered

50 candidates to 39 candidates (78.0%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	48	2	50
Fresh	1	1	2
Picked	0	1	1
Done	0	1	1
Total	49	5	54

Merged error: 0.0b

Counts

54 → 5

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ v (+ t1 u))
0.0b	(/ (+ t1 u) (- t1))
1.5b	(/ (/ v (+ t1 u)) (/ (+ t1 u) (- t1)))

rewrite14.0ms

Algorithm

rewrite-expression-head

Rules

12×	`associate-/r/`
9×	`div-inv`
7×	`associate-/l/`
5×	`frac-2neg` `flip3-+` `clear-num` `flip-+`
3×	`times-frac` `associate-/r` `associate-/l`
2×	`neg-mul-1`

Counts

3 → 30

Calls

3 calls:

3.0ms	(/ v (+ t1 u))
3.0ms	(/ (+ t1 u) (- t1))
7.0ms	(/ (/ v (+ t1 u)) (/ (+ t1 u) (- t1)))

series118.0ms

Counts

3 → 9

Calls

3 calls:

25.0ms	(/ v (+ t1 u))
37.0ms	(/ (+ t1 u) (- t1))
57.0ms	(/ (/ v (+ t1 u)) (/ (+ t1 u) (- t1)))

simplify48.0ms

Algorithm

egg-herbie

Counts

39 → 39

Iterations

Useful iterations: 2 (14.0ms)

Iter	Nodes	Cost
0	161	157
1	544	150
2	2333	146
3	5002	146

prune76.0ms

Filtered

39 candidates to 28 candidates (71.8%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	38	1	39
Fresh	0	2	2
Picked	1	0	1
Done	0	2	2
Total	39	5	44

Merged error: 0b

Counts

44 → 5

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ v (+ t1 u))
0.2b	(* (+ t1 u) (/ 1 (- t1)))
1.5b	(/ (/ v (+ t1 u)) (* (+ t1 u) (/ 1 (- t1))))

rewrite18.0ms

Algorithm

rewrite-expression-head

Rules

26×	`associate-/r/`
16×	`frac-times`
15×	`flip3-+` `flip-+`
11×	`clear-num` `div-inv`
9×	`frac-2neg` `times-frac` `associate-/r*`
8×	`associate-*r/`
6×	`neg-mul-1`
5×	`associate-r` `*-commutative`
4×	`associate-*l/` `un-div-inv`
3×	`associate-/l/` `associate-/l*`

Counts

3 → 60

Calls

3 calls:

3.0ms	(/ v (+ t1 u))
5.0ms	(* (+ t1 u) (/ 1 (- t1)))
8.0ms	(/ (/ v (+ t1 u)) (* (+ t1 u) (/ 1 (- t1))))

series113.0ms

Counts

3 → 9

Calls

3 calls:

24.0ms	(/ v (+ t1 u))
32.0ms	(* (+ t1 u) (/ 1 (- t1)))
57.0ms	(/ (/ v (+ t1 u)) (* (+ t1 u) (/ 1 (- t1))))

simplify33.0ms

Algorithm

egg-herbie

Counts

69 → 69

Iterations

Useful iterations: 2 (28.0ms)

Iter	Nodes	Cost
0	261	357
1	1275	332
2	5001	329

prune129.0ms

Filtered

69 candidates to 48 candidates (69.6%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	69	0	69
Fresh	0	2	2
Picked	0	1	1
Done	0	2	2
Total	69	5	74

Merged error: 0b

Counts

74 → 5

regimes76.0ms

Accuracy

0% (1.4b remaining)

Error of 1.5b against oracle of 0.0b and baseline of 1.5b

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	6
1	16	6
2	19	6
3	21	6
4	21	6

end0.0ms

sample407.0ms

Algorithm

intervals

Results

240.0ms

8265×

body

valid