Details

sample28.0ms

Algorithm

intervals

Results

7.0ms	271×	body	80	valid
7.0ms	287×	body	80	nan

simplify18.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 1 (3.0ms)

Iter	Nodes	Cost
0	21	5
1	51	4
2	86	4
3	126	4
4	151	4
5	169	4
6	185	4
7	187	4
8	187	4

prune6.0ms

Filtered

1 candidates to 1 candidates (100.0%)

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: 0.1b

Counts

2 → 2

localize7.0ms

Local error

Found 1 expressions with local error:

0.1b	(fma (sqrt z) y x)

rewrite1.0ms

Algorithm

rewrite-expression-head

Rules

1×	`fma-udef`

Counts

1 → 1

Calls

1 calls:

1.0ms

(fma (sqrt z) y x)

series61.0ms

Counts

1 → 3

Calls

1 calls:

61.0ms

(fma (sqrt z) y x)

simplify51.0ms

Algorithm

egg-herbie

Counts

4 → 4

Iterations

Useful iterations: 4 (50.0ms)

Iter	Nodes	Cost
0	58	22
1	145	19
2	417	19
3	1397	15
4	5002	12

prune8.0ms

Filtered

4 candidates to 3 candidates (75.0%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	3	1	4
Fresh	1	0	1
Picked	0	1	1
Done	0	0	0
Total	4	2	6

Merged error: 0.1b

Counts

6 → 2

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (* (sqrt z) y) x)
0.2b	(* (sqrt z) y)

rewrite7.0ms

Algorithm

rewrite-expression-head

Rules

2×	`fma-def` `*-commutative`
1×	`+-commutative` `flip3-+` `flip-+`

Counts

2 → 6

Calls

2 calls:

4.0ms	(+ (* (sqrt z) y) x)
3.0ms	(* (sqrt z) y)

series120.0ms

Counts

2 → 6

Calls

2 calls:

70.0ms	(+ (* (sqrt z) y) x)
50.0ms	(* (sqrt z) y)

simplify52.0ms

Algorithm

egg-herbie

Counts

12 → 12

Iterations

Useful iterations: 3 (50.0ms)

Iter	Nodes	Cost
0	156	80
1	470	64
2	1740	55
3	5001	48

prune25.0ms

Filtered

12 candidates to 9 candidates (75.0%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	11	1	12
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	11	3	14

Merged error: 0.1b

Counts

14 → 3

localize12.0ms

Local error

Found 3 expressions with local error:

0.2b	(* (sqrt z) y)
6.5b	(fma z (* y y) (- (* x x)))
25.0b	(/ (fma z (* y y) (- (* x x))) (- (* (sqrt z) y) x))

rewrite8.0ms

Algorithm

rewrite-expression-head

Rules

2×	`associate-/r/`
1×	`flip3--` `frac-2neg` `clear-num` `*-commutative` `flip--` `fma-udef` `div-inv`

Counts

3 → 7

Calls

3 calls:

3.0ms	(* (sqrt z) y)
1.0ms	(fma z (* y y) (- (* x x)))
4.0ms	(/ (fma z (* y y) (- (* x x))) (- (* (sqrt z) y) x))

series254.0ms

Counts

3 → 9

Calls

3 calls:

47.0ms	(* (sqrt z) y)
59.0ms	(fma z (* y y) (- (* x x)))
148.0ms	(/ (fma z (* y y) (- (* x x))) (- (* (sqrt z) y) x))

simplify71.0ms

Algorithm

egg-herbie

Counts

16 → 16

Iterations

Useful iterations: 3 (68.0ms)

Iter	Nodes	Cost
0	186	120
1	565	103
2	2657	84
3	5001	81

prune45.0ms

Filtered

16 candidates to 12 candidates (75.0%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	14	2	16
Fresh	0	0	0
Picked	1	0	1
Done	0	2	2
Total	15	4	19

Merged error: 0.1b

Counts

19 → 4

localize14.0ms

Local error

Found 4 expressions with local error:

0.2b	(/ 1 (/ (- (* (sqrt z) y) x) (fma z (* y y) (- (* x x)))))
0.2b	(* (sqrt z) y)
6.5b	(fma z (* y y) (- (* x x)))
25.0b	(/ (- (* (sqrt z) y) x) (fma z (* y y) (- (* x x))))

rewrite18.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 19

Calls

4 calls:

8.0ms	(/ 1 (/ (- (* (sqrt z) y) x) (fma z (* y y) (- (* x x)))))
3.0ms	(* (sqrt z) y)
1.0ms	(fma z (* y y) (- (* x x)))
5.0ms	(/ (- (* (sqrt z) y) x) (fma z (* y y) (- (* x x))))

series359.0ms

Counts

4 → 12

Calls

4 calls:

149.0ms	(/ 1 (/ (- (* (sqrt z) y) x) (fma z (* y y) (- (* x x)))))
52.0ms	(* (sqrt z) y)
56.0ms	(fma z (* y y) (- (* x x)))
102.0ms	(/ (- (* (sqrt z) y) x) (fma z (* y y) (- (* x x))))

simplify127.0ms

Algorithm

egg-herbie

Counts

31 → 31

Iterations

Useful iterations: 3 (124.0ms)

Iter	Nodes	Cost
0	231	186
1	810	165
2	4742	155
3	5001	153

prune74.0ms

Filtered

31 candidates to 23 candidates (74.2%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	30	1	31
Fresh	1	0	1
Picked	0	1	1
Done	0	2	2
Total	31	4	35

Merged error: 0.1b

Counts

35 → 4

regimes81.0ms

Accuracy

0% (0.0b remaining)

Error of 0.2b against oracle of 0.1b and baseline of 0.2b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	4
1	10	4

end0.0ms

sample780.0ms

Algorithm

intervals

Results

226.0ms	8540×	body	80	valid
216.0ms	8710×	body	80	nan