Details

sample15.0ms

Algorithm

intervals

Results

7.0ms

256×

body

valid

simplify21.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	20	9
1	40	9
2	78	9
3	134	9
4	200	9
5	233	9
6	239	9
7	239	9

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: 30.9b

Counts

2 → 1

localize8.0ms

Local error

Found 2 expressions with local error:

3.8b	(- (* x x) (* (* y 4.0) y))
30.4b	(/ (- (* x x) (* (* y 4.0) y)) (+ (* x x) (* (* y 4.0) y)))

rewrite17.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 22

Calls

2 calls:

6.0ms	(- (* x x) (* (* y 4.0) y))
11.0ms	(/ (- (* x x) (* (* y 4.0) y)) (+ (* x x) (* (* y 4.0) y)))

series109.0ms

Counts

2 → 6

Calls

2 calls:

42.0ms	(- (* x x) (* (* y 4.0) y))
67.0ms	(/ (- (* x x) (* (* y 4.0) y)) (+ (* x x) (* (* y 4.0) y)))

simplify82.0ms

Algorithm

egg-herbie

Counts

28 → 28

Iterations

Useful iterations: 3 (78.0ms)

Iter	Nodes	Cost
0	156	208
1	603	197
2	2376	194
3	5001	151

prune53.0ms

Filtered

28 candidates to 15 candidates (53.6%)

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	24	4	28
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	25	4	29

Merged error: 0.2b

Counts

29 → 4

localize11.0ms

Local error

Found 4 expressions with local error:

1.5b	(/ (* y 4.0) (/ (fma x x (* (* y 4.0) y)) y))
2.2b	(/ x (/ (fma x x (* (* y 4.0) y)) x))
15.7b	(/ (fma x x (* (* y 4.0) y)) x)
20.5b	(/ (fma x x (* (* y 4.0) y)) y)

rewrite12.0ms

Algorithm

rewrite-expression-head

Rules

8×	`div-inv`
6×	`frac-2neg` `clear-num` `associate-/r/`
2×	`times-frac` `associate-/r` `-commutative` `associate-/l*`

Counts

4 → 24

Calls

4 calls:

5.0ms	(/ (* y 4.0) (/ (fma x x (* (* y 4.0) y)) y))
3.0ms	(/ x (/ (fma x x (* (* y 4.0) y)) x))
2.0ms	(/ (fma x x (* (* y 4.0) y)) x)
2.0ms	(/ (fma x x (* (* y 4.0) y)) y)

series273.0ms

Counts

4 → 12

Calls

4 calls:

56.0ms	(/ (* y 4.0) (/ (fma x x (* (* y 4.0) y)) y))
63.0ms	(/ x (/ (fma x x (* (* y 4.0) y)) x))
74.0ms	(/ (fma x x (* (* y 4.0) y)) x)
80.0ms	(/ (fma x x (* (* y 4.0) y)) y)

simplify43.0ms

Algorithm

egg-herbie

Counts

36 → 36

Iterations

Useful iterations: 2 (10.0ms)

Iter	Nodes	Cost
0	84	124
1	219	122
2	1129	120
3	5002	120

prune86.0ms

Filtered

36 candidates to 26 candidates (72.2%)

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	34	2	36
Fresh	0	3	3
Picked	1	0	1
Done	0	0	0
Total	35	5	40

Merged error: 0.2b

Counts

40 → 5

localize15.0ms

Local error

Found 4 expressions with local error:

1.5b	(/ (* y 4.0) (/ (fma x x (* (* y 4.0) y)) y))
2.2b	(/ x (fma 4.0 (/ (pow y 2) x) x))
7.3b	(/ (pow y 2) x)
20.5b	(/ (fma x x (* (* y 4.0) y)) y)

rewrite12.0ms

Algorithm

rewrite-expression-head

Rules

7×	`div-inv`
5×	`frac-2neg` `clear-num`
4×	`associate-/l*`
3×	`associate-/r/`
2×	`times-frac` `*-commutative`
1×	`associate-/r*` `unpow2` `sqr-pow`

Counts

4 → 22

Calls

4 calls:

4.0ms	(/ (* y 4.0) (/ (fma x x (* (* y 4.0) y)) y))
2.0ms	(/ x (fma 4.0 (/ (pow y 2) x) x))
3.0ms	(/ (pow y 2) x)
2.0ms	(/ (fma x x (* (* y 4.0) y)) y)

series203.0ms

Counts

4 → 12

Calls

4 calls:

56.0ms	(/ (* y 4.0) (/ (fma x x (* (* y 4.0) y)) y))
59.0ms	(/ x (fma 4.0 (/ (pow y 2) x) x))
20.0ms	(/ (pow y 2) x)
68.0ms	(/ (fma x x (* (* y 4.0) y)) y)

simplify53.0ms

Algorithm

egg-herbie

Counts

34 → 34

Iterations

Useful iterations: 2 (11.0ms)

Iter	Nodes	Cost
0	81	103
1	269	101
2	1425	100
3	5001	100

prune98.0ms

Filtered

34 candidates to 24 candidates (70.6%)

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	32	2	34
Fresh	1	3	4
Picked	1	0	1
Done	0	0	0
Total	34	5	39

Merged error: 0.2b

Counts

39 → 5

localize14.0ms

Local error

Found 4 expressions with local error:

0.1b	(/ y (/ x y))
1.5b	(/ (* y 4.0) (/ (fma x x (* (* y 4.0) y)) y))
2.2b	(/ x (fma 4.0 (/ y (/ x y)) x))
20.5b	(/ (fma x x (* (* y 4.0) y)) y)

rewrite11.0ms

Algorithm

rewrite-expression-head

Rules

8×	`div-inv`
6×	`frac-2neg` `clear-num` `associate-/r/`
2×	`times-frac` `associate-/r` `-commutative` `associate-/l*`

Counts

4 → 24

Calls

4 calls:

3.0ms	(/ y (/ x y))
4.0ms	(/ (* y 4.0) (/ (fma x x (* (* y 4.0) y)) y))
2.0ms	(/ x (fma 4.0 (/ y (/ x y)) x))
2.0ms	(/ (fma x x (* (* y 4.0) y)) y)

series204.0ms

Counts

4 → 12

Calls

4 calls:

20.0ms	(/ y (/ x y))
61.0ms	(/ (* y 4.0) (/ (fma x x (* (* y 4.0) y)) y))
54.0ms	(/ x (fma 4.0 (/ y (/ x y)) x))
69.0ms	(/ (fma x x (* (* y 4.0) y)) y)

simplify43.0ms

Algorithm

egg-herbie

Counts

36 → 36

Iterations

Useful iterations: 2 (10.0ms)

Iter	Nodes	Cost
0	84	105
1	268	104
2	1228	102
3	5001	102

prune85.0ms

Filtered

36 candidates to 25 candidates (69.4%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	34	2	36
Fresh	2	2	4
Picked	0	1	1
Done	0	0	0
Total	36	5	41

Merged error: 0.2b

Counts

41 → 5

regimes96.0ms

Accuracy

77.9% (3.9b remaining)

Error of 4.2b against oracle of 0.3b and baseline of 18.0b

bsearch167.0ms

Steps

Iters	Range		Point
8	2.4976452960893417e+159	7.531422592295794e+163	2.548742142754068e+159
8	8.128222863375302e-164	3.0713856502247404e-159	2.88385576877549e-163
7	-1.006330366555798e-157	-3.2687850399229995e-159	-3.3127558295828727e-159
9	-1.6805119166911586e+168	-7.203888031624706e+161	-7.296941358695603e+161

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	30	27
1	30	27

end0.0ms

sample364.0ms

Algorithm

intervals

Results

236.0ms

8000×

body

valid