Details

sample16.0ms

Algorithm

intervals

Results

7.0ms

275×

body

valid

simplify53.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	17	4
1	25	4
2	49	4
3	78	4
4	116	4
5	141	4
6	162	4
7	175	4
8	183	4
9	187	4
10	191	4
11	302	4
12	340	4
13	366	4
14	464	4
15	533	4
16	615	4
17	721	4
18	815	4
19	824	4
20	824	4

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: 2.2b

Counts

2 → 1

localize6.0ms

Local error

Found 2 expressions with local error:

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

rewrite12.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 17

Calls

2 calls:

4.0ms	(/ (- x y) (- z y))
7.0ms	(* (/ (- x y) (- z y)) t)

series135.0ms

Counts

2 → 6

Calls

2 calls:

44.0ms	(/ (- x y) (- z y))
91.0ms	(* (/ (- x y) (- z y)) t)

simplify81.0ms

Algorithm

egg-herbie

Counts

23 → 23

Iterations

Useful iterations: 3 (31.0ms)

Iter	Nodes	Cost
0	121	52
1	385	52
2	1232	52
3	4285	50
4	5001	50

prune53.0ms

Filtered

23 candidates to 19 candidates (82.6%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	18	5	23
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	18	6	24

Merged error: 0.0b

Counts

24 → 6

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (- z y) (- x y))
2.0b	(/ t (/ (- z y) (- x y)))

rewrite11.0ms

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:

7.0ms	(/ (- z y) (- x y))
4.0ms	(/ t (/ (- z y) (- x y)))

series184.0ms

Counts

2 → 6

Calls

2 calls:

49.0ms	(/ (- z y) (- x y))
135.0ms	(/ t (/ (- z y) (- x y)))

simplify77.0ms

Algorithm

egg-herbie

Counts

25 → 25

Iterations

Useful iterations: 3 (26.0ms)

Iter	Nodes	Cost
0	116	75
1	335	75
2	994	74
3	3930	72
4	5001	72

prune59.0ms

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	1	0	1
Done	0	1	1
Total	25	6	31

Merged error: 0.0b

Counts

31 → 6

localize7.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (/ z (- x y)) (/ y (- x y)))
0.0b	(/ z (- x y))
0.0b	(/ y (- x y))
2.0b	(/ t (- (/ z (- x y)) (/ y (- x y))))

rewrite22.0ms

Algorithm

rewrite-expression-head

Rules

39×	`associate-/r/`
19×	`frac-2neg`
18×	`frac-sub`
15×	`flip3--` `clear-num` `flip--`
14×	`div-inv`
9×	`prod-diff`
6×	`distribute-rgt-out--`
4×	`sub-div`
3×	`fma-neg` `associate-/r*`
1×	`sub-neg`

Counts

4 → 59

Calls

4 calls:

7.0ms	(- (/ z (- x y)) (/ y (- x y)))
3.0ms	(/ z (- x y))
3.0ms	(/ y (- x y))
8.0ms	(/ t (- (/ z (- x y)) (/ y (- x y))))

series233.0ms

Counts

4 → 12

Calls

4 calls:

64.0ms	(- (/ z (- x y)) (/ y (- x y)))
26.0ms	(/ z (- x y))
41.0ms	(/ y (- x y))
103.0ms	(/ t (- (/ z (- x y)) (/ y (- x y))))

simplify34.0ms

Algorithm

egg-herbie

Counts

71 → 71

Iterations

Useful iterations: 2 (28.0ms)

Iter	Nodes	Cost
0	311	582
1	1011	502
2	5001	442

prune160.0ms

Filtered

71 candidates to 57 candidates (80.3%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	71	0	71
Fresh	0	4	4
Picked	0	1	1
Done	0	1	1
Total	71	6	77

Merged error: 0.0b

Counts

77 → 6

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ 1 (- z y))
0.2b	(* (- x y) (/ 1 (- z y)))
2.2b	(* (* (- x y) (/ 1 (- z y))) t)

rewrite16.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 42

Calls

3 calls:

3.0ms	(/ 1 (- z y))
5.0ms	(* (- x y) (/ 1 (- z y)))
7.0ms	(* (* (- x y) (/ 1 (- z y))) t)

series174.0ms

Counts

3 → 9

Calls

3 calls:

32.0ms	(/ 1 (- z y))
49.0ms	(* (- x y) (/ 1 (- z y)))
92.0ms	(* (* (- x y) (/ 1 (- z y))) t)

simplify62.0ms

Algorithm

egg-herbie

Counts

51 → 51

Iterations

Useful iterations: 3 (58.0ms)

Iter	Nodes	Cost
0	157	148
1	636	146
2	3166	146
3	5001	145

prune105.0ms

Filtered

51 candidates to 36 candidates (70.6%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	49	2	51
Fresh	1	2	3
Picked	1	0	1
Done	0	2	2
Total	51	6	57

Merged error: 0.0b

Counts

57 → 6

regimes172.0ms

Accuracy

-0.9% (2.0b remaining)

Error of 2.1b against oracle of 0.0b and baseline of 2.0b

bsearch59.0ms

Steps

Iters	Range		Point
7	2.174594517858188e-72	4.459730408059538e-70	1.3781558262798509e-70
8	-6.2406091572392234e-232	-1.3206891920336863e-236	-3.552942283278307e-233

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	22	14
1	22	14

end0.0ms

sample442.0ms

Algorithm

intervals

Results

227.0ms

8741×

body

valid

Iter	Nodes	Cost
0	17	4
1	25	4
2	49	4
3	78	4
4	116	4
5	141	4
6	162	4
7	175	4
8	183	4
9	187	4
10	191	4
11	302	4
12	340	4
13	366	4
14	464	4
15	533	4
16	615	4
17	721	4
18	815	4
19	824	4
20	824	4

Iter	Nodes	Cost
0	17	4
1	25	4
2	49	4
3	78	4
4	116	4
5	141	4
6	162	4
7	175	4
8	183	4
9	187	4
10	191	4
11	302	4
12	340	4
13	366	4
14	464	4
15	533	4
16	615	4
17	721	4
18	815	4
19	824	4
20	824	4

Iter	Nodes	Cost
0	17	4
1	25	4
2	49	4
3	78	4
4	116	4
5	141	4
6	162	4
7	175	4
8	183	4
9	187	4
10	191	4
11	302	4
12	340	4
13	366	4
14	464	4
15	533	4
16	615	4
17	721	4
18	815	4
19	824	4
20	824	4