Details

sample20.0ms

Algorithm

intervals

Results

9.0ms

283×

body

valid

simplify91.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	19	5
1	38	5
2	52	5
3	80	5
4	108	5
5	157	5
6	589	5
7	4617	5
8	5001	5

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: 11.0b

Counts

2 → 1

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b	(- x (* y z))
10.8b	(/ (- x (* y z)) (- t (* a z)))

rewrite6.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 12

Calls

2 calls:

2.0ms	(- x (* y z))
4.0ms	(/ (- x (* y z)) (- t (* a z)))

series91.0ms

Counts

2 → 6

Calls

2 calls:

36.0ms	(- x (* y z))
55.0ms	(/ (- x (* y z)) (- t (* a z)))

simplify158.0ms

Algorithm

egg-herbie

Counts

18 → 18

Iterations

Useful iterations: 3 (54.0ms)

Iter	Nodes	Cost
0	124	75
1	387	75
2	1345	75
3	4766	73
4	5001	73

prune50.0ms

Filtered

18 candidates to 14 candidates (77.8%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	12	6	18
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	12	7	19

Merged error: 10.8b

Counts

19 → 7

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b	(- x (* y z))
0.4b	(/ 1 (/ (- t (* a z)) (- x (* y z))))
10.7b	(/ (- t (* a z)) (- x (* y z)))

rewrite14.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 25

Calls

3 calls:

2.0ms	(- x (* y z))
4.0ms	(/ 1 (/ (- t (* a z)) (- x (* y z))))
7.0ms	(/ (- t (* a z)) (- x (* y z)))

series290.0ms

Counts

3 → 9

Calls

3 calls:

28.0ms	(- x (* y z))
209.0ms	(/ 1 (/ (- t (* a z)) (- x (* y z))))
52.0ms	(/ (- t (* a z)) (- x (* y z)))

simplify65.0ms

Algorithm

egg-herbie

Counts

34 → 34

Iterations

Useful iterations: 2 (17.0ms)

Iter	Nodes	Cost
0	155	131
1	543	130
2	2169	128
3	5001	128

prune90.0ms

Filtered

34 candidates to 24 candidates (70.6%)

Pruning

10 alts after pruning (8 fresh and 2 done)

	Pruned	Kept	Total
New	30	4	34
Fresh	1	4	5
Picked	0	1	1
Done	0	1	1
Total	31	10	41

Merged error: 10.8b

Counts

41 → 10

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b	(- x (* y z))
0.2b	(/ 1 (/ (- x (* y z)) (- t (* a z))))
0.4b	(/ 1 (/ 1 (/ (- x (* y z)) (- t (* a z)))))
10.8b	(/ (- x (* y z)) (- t (* a z)))

rewrite17.0ms

Algorithm

rewrite-expression-head

Rules

22×	`associate-/r/`
12×	`associate-/r*`
8×	`clear-num`
7×	`flip3--` `flip--`
6×	`frac-2neg` `div-inv` `associate-/l/`
3×	`remove-double-div` `inv-pow`
1×	`sub-neg` `pow-flip` `div-sub`

Counts

4 → 44

Calls

4 calls:

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

series335.0ms

Counts

4 → 12

Calls

4 calls:

33.0ms	(- x (* y z))
193.0ms	(/ 1 (/ (- x (* y z)) (- t (* a z))))
52.0ms	(/ 1 (/ 1 (/ (- x (* y z)) (- t (* a z)))))
56.0ms	(/ (- x (* y z)) (- t (* a z)))

simplify89.0ms

Algorithm

egg-herbie

Counts

56 → 56

Iterations

Useful iterations: 2 (22.0ms)

Iter	Nodes	Cost
0	165	184
1	641	182
2	2994	179
3	5001	179

prune126.0ms

Filtered

56 candidates to 35 candidates (62.5%)

Pruning

10 alts after pruning (7 fresh and 3 done)

	Pruned	Kept	Total
New	55	1	56
Fresh	1	6	7
Picked	0	1	1
Done	0	2	2
Total	56	10	66

Merged error: 10.8b

Counts

66 → 10

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b	(- x (* y z))
0.4b	(/ 1 (- t (* a z)))
10.6b	(* (- x (* y z)) (/ 1 (- t (* a z))))

rewrite10.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 27

Calls

3 calls:

2.0ms	(- x (* y z))
3.0ms	(/ 1 (- t (* a z)))
5.0ms	(* (- x (* y z)) (/ 1 (- t (* a z))))

series137.0ms

Counts

3 → 9

Calls

3 calls:

32.0ms	(- x (* y z))
47.0ms	(/ 1 (- t (* a z)))
58.0ms	(* (- x (* y z)) (/ 1 (- t (* a z))))

simplify77.0ms

Algorithm

egg-herbie

Counts

36 → 36

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	141	157
1	592	157
2	2758	157
3	5002	157

prune57.0ms

Filtered

36 candidates to 19 candidates (52.8%)

Pruning

11 alts after pruning (7 fresh and 4 done)

	Pruned	Kept	Total
New	33	3	36
Fresh	2	4	6
Picked	0	1	1
Done	0	3	3
Total	35	11	46

Merged error: 10.8b

Counts

46 → 11

regimes233.0ms

Accuracy

0% (0.3b remaining)

Error of 10.6b against oracle of 10.3b and baseline of 10.6b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	5
1	12	5

end0.0ms

sample516.0ms

Algorithm

intervals

Results

268.0ms

8677×

body

valid