Details

sample16.0ms

Algorithm

intervals

Results

7.0ms

268×

body

valid

simplify75.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	25	6
1	65	6
2	132	6
3	208	6
4	250	6
5	287	6
6	307	6
7	347	6
8	420	6
9	573	6
10	1883	6
11	5001	6

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: 17.3b

Counts

2 → 1

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b	(* (+ t1 u) (+ t1 u))
17.0b	(/ (* (- t1) v) (* (+ t1 u) (+ t1 u)))

rewrite14.0ms

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))
8.0ms	(/ (* (- t1) v) (* (+ t1 u) (+ t1 u)))

series89.0ms

Counts

2 → 6

Calls

2 calls:

14.0ms	(* (+ t1 u) (+ t1 u))
75.0ms	(/ (* (- t1) v) (* (+ t1 u) (+ t1 u)))

simplify82.0ms

Algorithm

egg-herbie

Counts

43 → 43

Iterations

Useful iterations: 1 (6.0ms)

Iter	Nodes	Cost
0	223	256
1	713	250
2	3322	250
3	5002	250

prune79.0ms

Filtered

43 candidates to 27 candidates (62.8%)

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	38	5	43
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	39	5	44

Merged error: 0.0b

Counts

44 → 5

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ v (+ t1 u))
0.0b	(/ (- t1) (+ t1 u))
0.8b	(* (/ v (+ t1 u)) (/ (- t1) (+ t1 u)))

rewrite18.0ms

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

series121.0ms

Counts

3 → 9

Calls

3 calls:

24.0ms	(/ v (+ t1 u))
44.0ms	(/ (- t1) (+ t1 u))
53.0ms	(* (/ v (+ t1 u)) (/ (- t1) (+ t1 u)))

simplify91.0ms

Algorithm

egg-herbie

Counts

50 → 50

Iterations

Useful iterations: 2 (25.0ms)

Iter	Nodes	Cost
0	204	168
1	921	168
2	4071	166
3	5001	166

prune104.0ms

Filtered

50 candidates to 39 candidates (78.0%)

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	44	6	50
Fresh	4	0	4
Picked	1	0	1
Done	0	0	0
Total	49	6	55

Merged error: 0b

Counts

55 → 6

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ (+ t1 u) v)
0.0b	(/ (- t1) (+ t1 u))
0.7b	(/ (/ (- t1) (+ t1 u)) (/ (+ t1 u) v))

rewrite14.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 34

Calls

3 calls:

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

series184.0ms

Counts

3 → 9

Calls

3 calls:

23.0ms	(/ (+ t1 u) v)
39.0ms	(/ (- t1) (+ t1 u))
122.0ms	(/ (/ (- t1) (+ t1 u)) (/ (+ t1 u) v))

simplify52.0ms

Algorithm

egg-herbie

Counts

43 → 43

Iterations

Useful iterations: 2 (14.0ms)

Iter	Nodes	Cost
0	162	174
1	544	164
2	2349	159
3	5002	159

prune82.0ms

Filtered

43 candidates to 31 candidates (72.1%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	41	2	43
Fresh	2	3	5
Picked	0	1	1
Done	0	0	0
Total	43	6	49

Merged error: 0b

Counts

49 → 6

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ v (+ t1 u))
0.0b	(/ t1 (+ t1 u))
0.8b	(* (/ v (+ t1 u)) (- (/ t1 (+ t1 u))))

rewrite18.0ms

Algorithm

rewrite-expression-head

Rules

12×	`distribute-neg-frac`
10×	`frac-2neg` `clear-num` `associate-/r/`
9×	`frac-times`
7×	`associate-r`
5×	`flip3-+` `flip-+` `div-inv`
3×	`distribute-lft-neg-in` `distribute-rgt-neg-in` `associate-r/` `associate-l` `associate-l/`
1×	`neg-mul-1` `*-commutative` `distribute-rgt-neg-out`

Counts

3 → 37

Calls

3 calls:

3.0ms	(/ v (+ t1 u))
3.0ms	(/ t1 (+ t1 u))
11.0ms	(* (/ v (+ t1 u)) (- (/ t1 (+ t1 u))))

series121.0ms

Counts

3 → 9

Calls

3 calls:

23.0ms	(/ v (+ t1 u))
44.0ms	(/ t1 (+ t1 u))
54.0ms	(* (/ v (+ t1 u)) (- (/ t1 (+ t1 u))))

simplify89.0ms

Algorithm

egg-herbie

Counts

46 → 46

Iterations

Useful iterations: 1 (6.0ms)

Iter	Nodes	Cost
0	211	166
1	834	159
2	3617	159
3	5001	159

prune90.0ms

Filtered

46 candidates to 36 candidates (78.3%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	45	1	46
Fresh	1	3	4
Picked	0	1	1
Done	0	1	1
Total	46	6	52

Merged error: 0b

Counts

52 → 6

regimes68.0ms

Accuracy

0% (1.5b remaining)

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

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	6
1	13	6
2	13	6

end0.0ms

sample387.0ms

Algorithm

intervals

Results

222.0ms

8265×

body

valid