Details

sample33.0ms

Algorithm

intervals

Results

16.0ms

374×

body

valid

simplify18.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 5 (14.0ms)

Iter	Nodes	Cost
0	26	7
1	68	4
2	140	4
3	200	4
4	214	4
5	217	3
6	217	3

prune8.0ms

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: 0.0b

Counts

2 → 2

localize10.0ms

Local error

Found 1 expressions with local error:

2.2b	(fma (fma a b y) z (fma a t x))

rewrite1.0ms

Algorithm

rewrite-expression-head

Rules

1×	`fma-udef`

Counts

1 → 1

Calls

1 calls:

1.0ms

(fma (fma a b y) z (fma a t x))

series88.0ms

Counts

1 → 3

Calls

1 calls:

88.0ms

(fma (fma a b y) z (fma a t x))

simplify12.0ms

Algorithm

egg-herbie

Counts

4 → 4

Iterations

Useful iterations: 2 (5.0ms)

Iter	Nodes	Cost
0	29	10
1	54	10
2	83	8
3	91	8
4	92	8
5	92	8

prune11.0ms

Filtered

4 candidates to 3 candidates (75.0%)

Pruning

2 alts after pruning (1 fresh and 1 done)

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

Merged error: 0.0b

Counts

6 → 2

localize11.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (+ (+ x (* y z)) (* t a)) (* (* a z) b))
0.0b	(+ (+ x (* y z)) (* t a))
4.9b	(* (* a z) b)

rewrite17.0ms

Algorithm

rewrite-expression-head

Rules

8×	`associate-+l+`
5×	`+-commutative`
2×	`flip3-+` `associate-l` `*-commutative` `flip-+`

Counts

3 → 15

Calls

3 calls:

8.0ms	(+ (+ (+ x (* y z)) (* t a)) (* (* a z) b))
5.0ms	(+ (+ x (* y z)) (* t a))
3.0ms	(* (* a z) b)

series153.0ms

Counts

3 → 9

Calls

3 calls:

81.0ms	(+ (+ (+ x (* y z)) (* t a)) (* (* a z) b))
44.0ms	(+ (+ x (* y z)) (* t a))
29.0ms	(* (* a z) b)

simplify122.0ms

Algorithm

egg-herbie

Counts

24 → 24

Iterations

Useful iterations: 3 (119.0ms)

Iter	Nodes	Cost
0	163	122
1	774	104
2	4199	95
3	5001	93

prune78.0ms

Filtered

24 candidates to 20 candidates (83.3%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	23	1	24
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	23	3	26

Merged error: 0.0b

Counts

26 → 3

localize11.0ms

Local error

Found 3 expressions with local error:

0.0b	(fma z y (* a t))
0.0b	(+ x (fma a (* z b) (fma z y (* a t))))
2.2b	(fma a (* z b) (fma z y (* a t)))

rewrite4.0ms

Algorithm

rewrite-expression-head

Rules

3×	`fma-udef`
1×	`+-commutative` `associate-+r+` `flip3-+` `flip-+`

Counts

3 → 6

Calls

3 calls:

1.0ms	(fma z y (* a t))
2.0ms	(+ x (fma a (* z b) (fma z y (* a t))))
1.0ms	(fma a (* z b) (fma z y (* a t)))

series193.0ms

Counts

3 → 9

Calls

3 calls:

42.0ms	(fma z y (* a t))
91.0ms	(+ x (fma a (* z b) (fma z y (* a t))))
60.0ms	(fma a (* z b) (fma z y (* a t)))

simplify40.0ms

Algorithm

egg-herbie

Counts

15 → 15

Iterations

Useful iterations: 1 (4.0ms)

Iter	Nodes	Cost
0	68	61
1	219	59
2	1235	59
3	5001	59

prune41.0ms

Filtered

15 candidates to 11 candidates (73.3%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	15	0	15
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	15	3	18

Merged error: 0.0b

Counts

18 → 3

regimes193.0ms

Accuracy

86.3% (0.4b remaining)

Error of 0.4b against oracle of 0.0b and baseline of 2.9b

bsearch111.0ms

Steps

Iters	Range		Point
8	1.916107853091866e-29	4.751284539766977e-26	3.484518942625948e-29
9	-1.930778967641709e+126	-8.897896164793444e+118	-9.08957505555744e+118

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	26	8
1	26	8

end0.0ms

sample858.0ms

Algorithm

intervals

Results

457.0ms

11759×

body

valid