Details

sample27.0ms

Algorithm

intervals

Results

11.0ms

270×

body

valid

simplify69.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	14	4
1	29	4
2	54	4
3	77	4
4	104	4
5	125	4
6	134	4
7	144	4
8	145	4
9	149	4
10	153	4
11	248	4
12	286	4
13	308	4
14	394	4
15	463	4
16	521	4
17	615	4
18	691	4
19	700	4
20	700	4

prune4.0ms

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: 14.3b

Counts

2 → 1

localize6.0ms

Local error

Found 2 expressions with local error:

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

rewrite8.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 16

Calls

2 calls:

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

series104.0ms

Counts

2 → 6

Calls

2 calls:

38.0ms	(* x (- y z))
66.0ms	(/ (* x (- y z)) (- t z))

simplify65.0ms

Algorithm

egg-herbie

Counts

22 → 22

Iterations

Useful iterations: 4 (62.0ms)

Iter	Nodes	Cost
0	112	63
1	301	63
2	836	63
3	2616	62
4	5001	61

prune46.0ms

Filtered

22 candidates to 14 candidates (63.6%)

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	17	5	22
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	18	5	23

Merged error: 0.0b

Counts

23 → 5

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (- t z) (- y z))
2.2b	(/ x (/ (- t z) (- y z)))

rewrite8.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 19

Calls

2 calls:

4.0ms	(/ (- t z) (- y z))
4.0ms	(/ x (/ (- t z) (- y z)))

series186.0ms

Counts

2 → 6

Calls

2 calls:

45.0ms	(/ (- t z) (- y z))
141.0ms	(/ x (/ (- t z) (- y z)))

simplify84.0ms

Algorithm

egg-herbie

Counts

25 → 25

Iterations

Useful iterations: 3 (26.0ms)

Iter	Nodes	Cost
0	112	76
1	319	76
2	910	75
3	3494	73
4	5001	73

prune56.0ms

Filtered

25 candidates to 21 candidates (84.0%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	22	3	25
Fresh	2	2	4
Picked	0	1	1
Done	0	0	0
Total	24	6	30

Merged error: 0b

Counts

30 → 6

localize9.0ms

Local error

Found 2 expressions with local error:

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

rewrite9.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 18

Calls

2 calls:

4.0ms	(/ (- y z) (- t z))
4.0ms	(* x (/ (- y z) (- t z)))

series119.0ms

Counts

2 → 6

Calls

2 calls:

48.0ms	(/ (- y z) (- t z))
71.0ms	(* x (/ (- y z) (- t z)))

simplify93.0ms

Algorithm

egg-herbie

Counts

24 → 24

Iterations

Useful iterations: 3 (32.0ms)

Iter	Nodes	Cost
0	104	59
1	330	59
2	1126	59
3	4060	57
4	5001	57

prune50.0ms

Filtered

24 candidates to 18 candidates (75.0%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	23	1	24
Fresh	1	3	4
Picked	0	1	1
Done	0	1	1
Total	24	6	30

Merged error: 0b

Counts

30 → 6

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ 1 (- t z))
0.2b	(* (- y z) (/ 1 (- t z)))
2.1b	(* x (* (- y z) (/ 1 (- t z))))

rewrite16.0ms

Algorithm

rewrite-expression-head

Rules

19×	`associate-*r/`
12×	`frac-times`
11×	`flip3--` `associate-r` `flip--`
9×	`clear-num`
7×	`frac-2neg`
6×	`associate-/r/`
4×	`associate-*l/` `un-div-inv`
3×	`*-commutative` `div-inv`
1×	`inv-pow`

Counts

3 → 42

Calls

3 calls:

3.0ms	(/ 1 (- t z))
5.0ms	(* (- y z) (/ 1 (- t z)))
6.0ms	(* x (* (- y z) (/ 1 (- t z))))

series146.0ms

Counts

3 → 9

Calls

3 calls:

34.0ms	(/ 1 (- t z))
48.0ms	(* (- y z) (/ 1 (- t z)))
63.0ms	(* x (* (- y z) (/ 1 (- t z))))

simplify65.0ms

Algorithm

egg-herbie

Counts

51 → 51

Iterations

Useful iterations: 1 (5.0ms)

Iter	Nodes	Cost
0	144	156
1	598	155
2	3101	155
3	5002	155

prune93.0ms

Filtered

51 candidates to 35 candidates (68.6%)

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	50	1	51
Fresh	1	2	3
Picked	0	1	1
Done	0	2	2
Total	51	6	57

Merged error: 0b

Counts

57 → 6

regimes85.0ms

Accuracy

0% (2.0b remaining)

Error of 2.1b against oracle of 0.0b and baseline of 2.1b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	4
1	9	4

end0.0ms

sample432.0ms

Algorithm

intervals

Results

219.0ms

8751×

body

valid

Iter	Nodes	Cost
0	14	4
1	29	4
2	54	4
3	77	4
4	104	4
5	125	4
6	134	4
7	144	4
8	145	4
9	149	4
10	153	4
11	248	4
12	286	4
13	308	4
14	394	4
15	463	4
16	521	4
17	615	4
18	691	4
19	700	4
20	700	4

Iter	Nodes	Cost
0	14	4
1	29	4
2	54	4
3	77	4
4	104	4
5	125	4
6	134	4
7	144	4
8	145	4
9	149	4
10	153	4
11	248	4
12	286	4
13	308	4
14	394	4
15	463	4
16	521	4
17	615	4
18	691	4
19	700	4
20	700	4

Iter	Nodes	Cost
0	14	4
1	29	4
2	54	4
3	77	4
4	104	4
5	125	4
6	134	4
7	144	4
8	145	4
9	149	4
10	153	4
11	248	4
12	286	4
13	308	4
14	394	4
15	463	4
16	521	4
17	615	4
18	691	4
19	700	4
20	700	4