Details

sample21.0ms

Algorithm

intervals

Results

10.0ms

273×

body

valid

simplify12.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	21	7
1	40	7
2	56	7
3	76	7
4	90	7
5	94	7
6	94	7

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: 23.6b

Counts

2 → 1

localize10.0ms

Local error

Found 2 expressions with local error:

0.2b	(- (* b c) (* a d))
23.2b	(/ (- (* b c) (* a d)) (+ (* c c) (* d d)))

rewrite13.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 18

Calls

2 calls:

4.0ms	(- (* b c) (* a d))
8.0ms	(/ (- (* b c) (* a d)) (+ (* c c) (* d d)))

series130.0ms

Counts

2 → 6

Calls

2 calls:

41.0ms	(- (* b c) (* a d))
89.0ms	(/ (- (* b c) (* a d)) (+ (* c c) (* d d)))

simplify54.0ms

Algorithm

egg-herbie

Counts

24 → 24

Iterations

Useful iterations: 3 (51.0ms)

Iter	Nodes	Cost
0	152	124
1	501	121
2	1718	121
3	5001	108

prune56.0ms

Filtered

24 candidates to 16 candidates (66.7%)

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	19	5	24
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	20	5	25

Merged error: 20.7b

Counts

25 → 5

localize11.0ms

Local error

Found 4 expressions with local error:

2.7b	(/ a (/ (fma c c (* d d)) d))
4.0b	(/ b (/ (fma c c (* d d)) c))
16.5b	(/ (fma c c (* d d)) c)
19.6b	(/ (fma c c (* d d)) d)

rewrite10.0ms

Algorithm

rewrite-expression-head

Rules

6×	`frac-2neg` `clear-num` `associate-/r/` `div-inv`
2×	`associate-/r*`

Counts

4 → 20

Calls

4 calls:

3.0ms	(/ a (/ (fma c c (* d d)) d))
3.0ms	(/ b (/ (fma c c (* d d)) c))
2.0ms	(/ (fma c c (* d d)) c)
2.0ms	(/ (fma c c (* d d)) d)

series210.0ms

Counts

4 → 12

Calls

4 calls:

48.0ms	(/ a (/ (fma c c (* d d)) d))
51.0ms	(/ b (/ (fma c c (* d d)) c))
57.0ms	(/ (fma c c (* d d)) c)
53.0ms	(/ (fma c c (* d d)) d)

simplify106.0ms

Algorithm

egg-herbie

Counts

32 → 32

Iterations

Useful iterations: 3 (18.0ms)

Iter	Nodes	Cost
0	57	80
1	133	80
2	514	78
3	3082	72
4	5002	72

prune79.0ms

Filtered

32 candidates to 22 candidates (68.8%)

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	28	4	32
Fresh	1	3	4
Picked	1	0	1
Done	0	0	0
Total	30	7	37

Merged error: 4.4b

Counts

37 → 7

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b	(fma (/ c d) c d)
2.7b	(/ a (fma (/ c d) c d))
4.0b	(/ b (/ (fma c c (* d d)) c))
16.5b	(/ (fma c c (* d d)) c)

rewrite8.0ms

Algorithm

rewrite-expression-head

Rules

4×	`frac-2neg` `clear-num` `div-inv`
3×	`associate-/r/`
1×	`associate-/r*` `fma-udef`

Counts

4 → 14

Calls

4 calls:

1.0ms	(fma (/ c d) c d)
2.0ms	(/ a (fma (/ c d) c d))
3.0ms	(/ b (/ (fma c c (* d d)) c))
2.0ms	(/ (fma c c (* d d)) c)

series175.0ms

Counts

4 → 12

Calls

4 calls:

30.0ms	(fma (/ c d) c d)
37.0ms	(/ a (fma (/ c d) c d))
47.0ms	(/ b (/ (fma c c (* d d)) c))
61.0ms	(/ (fma c c (* d d)) c)

simplify73.0ms

Algorithm

egg-herbie

Counts

26 → 26

Iterations

Useful iterations: 3 (14.0ms)

Iter	Nodes	Cost
0	51	58
1	112	58
2	398	57
3	2094	54
4	5001	54

prune66.0ms

Filtered

26 candidates to 16 candidates (61.5%)

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	21	5	26
Fresh	5	1	6
Picked	1	0	1
Done	0	0	0
Total	27	6	33

Merged error: 3.1b

Counts

33 → 6

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b	(fma (/ c d) c d)
0.1b	(fma (/ d c) d c)
2.7b	(/ a (fma (/ c d) c d))
4.0b	(/ b (fma (/ d c) d c))

rewrite5.0ms

Algorithm

rewrite-expression-head

Rules

2×	`frac-2neg` `clear-num` `fma-udef` `div-inv`

Counts

4 → 8

Calls

4 calls:

1.0ms	(fma (/ c d) c d)
1.0ms	(fma (/ d c) d c)
2.0ms	(/ a (fma (/ c d) c d))
2.0ms	(/ b (fma (/ d c) d c))

series131.0ms

Counts

4 → 12

Calls

4 calls:

31.0ms	(fma (/ c d) c d)
34.0ms	(fma (/ d c) d c)
33.0ms	(/ a (fma (/ c d) c d))
33.0ms	(/ b (fma (/ d c) d c))

simplify33.0ms

Algorithm

egg-herbie

Counts

20 → 20

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	41	36
1	75	36
2	229	36
3	808	36
4	5002	36

prune33.0ms

Filtered

20 candidates to 10 candidates (50.0%)

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	17	3	20
Fresh	3	2	5
Picked	1	0	1
Done	0	0	0
Total	21	5	26

Merged error: 3.1b

Counts

26 → 5

regimes96.0ms

Accuracy

0% (1.2b remaining)

Error of 3.4b against oracle of 2.2b and baseline of 3.4b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	8
1	16	8

end0.0ms

sample542.0ms

Algorithm

intervals

Results

328.0ms

8478×

body

valid