Details

sample44.0ms

Algorithm

intervals

Results

28.0ms

699×

body

valid

simplify48.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 2 (4.0ms)

Iter	Nodes	Cost
0	26	8
1	51	8
2	88	7
3	153	7
4	357	7
5	1563	7
6	5002	7

prune5.0ms

Filtered

1 candidates to 1 candidates (100.0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

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

Merged error: 0.2b

Counts

2 → 1

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b	(fma (* 4.0 b) b (- (pow (+ (* a a) (* b b)) 2.0) 1.0))
0.0b	(+ (* a a) (* b b))
0.3b	(pow (+ (* a a) (* b b)) 2.0)

rewrite9.0ms

Algorithm

rewrite-expression-head

Rules

2×	`fma-def`
1×	`+-commutative` `pow-to-exp` `flip3-+` `*-commutative` `flip-+` `fma-udef` `sqr-pow`

Counts

3 → 8

Calls

3 calls:

1.0ms	(fma (* 4.0 b) b (- (pow (+ (* a a) (* b b)) 2.0) 1.0))
4.0ms	(+ (* a a) (* b b))
4.0ms	(pow (+ (* a a) (* b b)) 2.0)

series193.0ms

Counts

3 → 9

Calls

3 calls:

68.0ms	(fma (* 4.0 b) b (- (pow (+ (* a a) (* b b)) 2.0) 1.0))
28.0ms	(+ (* a a) (* b b))
97.0ms	(pow (+ (* a a) (* b b)) 2.0)

simplify47.0ms

Algorithm

egg-herbie

Counts

17 → 17

Iterations

Useful iterations: 3 (44.0ms)

Iter	Nodes	Cost
0	133	75
1	527	68
2	1643	67
3	5002	65

prune46.0ms

Filtered

17 candidates to 12 candidates (70.6%)

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	13	4	17
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	14	4	18

Merged error: 0.0b

Counts

18 → 4

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b	(fma (* 4.0 b) b (- (pow (fma a a (* b b)) 2.0) 1.0))
0.0b	(fma a a (* b b))
0.3b	(pow (fma a a (* b b)) 2.0)

rewrite5.0ms

Algorithm

rewrite-expression-head

Rules

2×	`fma-udef`
1×	`pow-to-exp` `sqr-pow`

Counts

3 → 4

Calls

3 calls:

1.0ms	(fma (* 4.0 b) b (- (pow (fma a a (* b b)) 2.0) 1.0))
1.0ms	(fma a a (* b b))
3.0ms	(pow (fma a a (* b b)) 2.0)

series201.0ms

Counts

3 → 9

Calls

3 calls:

65.0ms	(fma (* 4.0 b) b (- (pow (fma a a (* b b)) 2.0) 1.0))
32.0ms	(fma a a (* b b))
104.0ms	(pow (fma a a (* b b)) 2.0)

simplify33.0ms

Algorithm

egg-herbie

Counts

13 → 13

Iterations

Useful iterations: 2 (8.0ms)

Iter	Nodes	Cost
0	77	50
1	266	49
2	844	47
3	5002	47

prune27.0ms

Filtered

13 candidates to 7 candidates (53.8%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	12	1	13
Fresh	1	2	3
Picked	0	1	1
Done	0	0	0
Total	13	4	17

Merged error: 0.0b

Counts

17 → 4

localize18.0ms

Local error

Found 3 expressions with local error:

0.0b	(fma (* 4.0 b) b (- (fma (* 2.0 (pow a 2)) (pow b 2) (pow b 4)) 1.0))
0.0b	(* 2.0 (pow a 2))
0.7b	(fma (* 2.0 (pow a 2)) (pow b 2) (pow b 4))

rewrite5.0ms

Algorithm

rewrite-expression-head

Rules

2×	`associate-r` `fma-udef`
1×	`*-commutative` `unpow2` `sqr-pow`

Counts

3 → 5

Calls

3 calls:

1.0ms	(fma (* 4.0 b) b (- (fma (* 2.0 (pow a 2)) (pow b 2) (pow b 4)) 1.0))
3.0ms	(* 2.0 (pow a 2))
1.0ms	(fma (* 2.0 (pow a 2)) (pow b 2) (pow b 4))

series166.0ms

Counts

3 → 9

Calls

3 calls:

71.0ms	(fma (* 4.0 b) b (- (fma (* 2.0 (pow a 2)) (pow b 2) (pow b 4)) 1.0))
27.0ms	(* 2.0 (pow a 2))
68.0ms	(fma (* 2.0 (pow a 2)) (pow b 2) (pow b 4))

simplify89.0ms

Algorithm

egg-herbie

Counts

14 → 14

Iterations

Useful iterations: 3 (22.0ms)

Iter	Nodes	Cost
0	57	51
1	191	48
2	598	44
3	2446	42
4	5001	42

prune25.0ms

Filtered

14 candidates to 7 candidates (50.0%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	14	0	14
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	14	4	18

Merged error: 0.0b

Counts

18 → 4

localize8.0ms

Local error

Found 1 expressions with local error:

0.4b	(pow (/ -1 a) -4.0)

rewrite2.0ms

Algorithm

rewrite-expression-head

Rules

1×	`pow-to-exp` `unpow-prod-down` `div-inv` `sqr-pow`

Counts

1 → 3

Calls

1 calls:

2.0ms

(pow (/ -1 a) -4.0)

series176.0ms

Counts

1 → 3

Calls

1 calls:

176.0ms

(pow (/ -1 a) -4.0)

simplify65.0ms

Algorithm

egg-herbie

Counts

6 → 6

Iterations

Useful iterations: 1 (3.0ms)

Iter	Nodes	Cost
0	49	22
1	93	18
2	209	18
3	597	18
4	2187	18
5	5001	18

prune8.0ms

Filtered

6 candidates to 3 candidates (50.0%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	6	0	6
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	6	4	10

Merged error: 0.0b

Counts

10 → 4

regimes40.0ms

Accuracy

0% (0.2b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 0.2b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	6
1	12	6

end0.0ms

sample1.2s

Algorithm

intervals

Results

793.0ms

20696×

body

valid