Details

sample55.0ms

Algorithm

intervals

Results

37.0ms

699×

body

valid

simplify75.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 2 (7.0ms)

Iter	Nodes	Cost
0	53	14
1	173	13
2	532	12
3	1681	12
4	4278	12
5	5001	12

prune6.0ms

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

localize18.0ms

Local error

Found 4 expressions with local error:

0.0b	(fma 4.0 (fma (* a a) (- 1.0 a) (* (* b b) (+ 3.0 a))) (- (pow (+ (* a a) (* b b)) 2.0) 1.0))
0.1b	(fma (* a a) (- 1.0 a) (* (* b b) (+ 3.0 a)))
0.3b	(pow (+ (* a a) (* b b)) 2.0)
0.4b	(* (* b b) (+ 3.0 a))

rewrite10.0ms

Algorithm

rewrite-expression-head

Rules

2×	`+-commutative` `distribute-rgt-in` `distribute-lft-in` `associate-r/` `associate-l` `-commutative` `fma-udef`
1×	`pow-to-exp` `flip3-+` `flip-+` `sqr-pow`

Counts

4 → 13

Calls

4 calls:

1.0ms	(fma 4.0 (fma (* a a) (- 1.0 a) (* (* b b) (+ 3.0 a))) (- (pow (+ (* a a) (* b b)) 2.0) 1.0))
1.0ms	(fma (* a a) (- 1.0 a) (* (* b b) (+ 3.0 a)))
4.0ms	(pow (+ (* a a) (* b b)) 2.0)
5.0ms	(* (* b b) (+ 3.0 a))

series273.0ms

Counts

4 → 12

Calls

4 calls:

95.0ms	(fma 4.0 (fma (* a a) (- 1.0 a) (* (* b b) (+ 3.0 a))) (- (pow (+ (* a a) (* b b)) 2.0) 1.0))
45.0ms	(fma (* a a) (- 1.0 a) (* (* b b) (+ 3.0 a)))
100.0ms	(pow (+ (* a a) (* b b)) 2.0)
33.0ms	(* (* b b) (+ 3.0 a))

simplify51.0ms

Algorithm

egg-herbie

Counts

25 → 25

Iterations

Useful iterations: 3 (48.0ms)

Iter	Nodes	Cost
0	168	115
1	626	110
2	1858	107
3	5002	105

prune66.0ms

Filtered

25 candidates to 17 candidates (68.0%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	22	3	25
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	22	4	26

Merged error: 0.0b

Counts

26 → 4

localize23.0ms

Local error

Found 4 expressions with local error:

0.0b	(* 2.0 (pow a 2))
0.1b	(fma (* a a) (- 1.0 a) (* (* b b) (+ 3.0 a)))
0.4b	(* (* b b) (+ 3.0 a))
0.7b	(fma (* 2.0 (pow a 2)) (pow b 2) (pow b 4))

rewrite9.0ms

Algorithm

rewrite-expression-head

Rules

3×	`*-commutative`
2×	`+-commutative` `distribute-rgt-in` `distribute-lft-in` `associate-r/` `associate-r` `associate-l*` `fma-udef`
1×	`flip3-+` `flip-+` `unpow2` `sqr-pow`

Counts

4 → 14

Calls

4 calls:

3.0ms	(* 2.0 (pow a 2))
1.0ms	(fma (* a a) (- 1.0 a) (* (* b b) (+ 3.0 a)))
5.0ms	(* (* b b) (+ 3.0 a))
1.0ms	(fma (* 2.0 (pow a 2)) (pow b 2) (pow b 4))

series170.0ms

Counts

4 → 12

Calls

4 calls:

29.0ms	(* 2.0 (pow a 2))
40.0ms	(fma (* a a) (- 1.0 a) (* (* b b) (+ 3.0 a)))
35.0ms	(* (* b b) (+ 3.0 a))
66.0ms	(fma (* 2.0 (pow a 2)) (pow b 2) (pow b 4))

simplify46.0ms

Algorithm

egg-herbie

Counts

26 → 26

Iterations

Useful iterations: 2 (13.0ms)

Iter	Nodes	Cost
0	119	91
1	485	85
2	1489	84
3	5001	84

prune68.0ms

Filtered

26 candidates to 14 candidates (53.8%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	26	0	26
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	26	4	30

Merged error: 0.0b

Counts

30 → 4

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b	(fma 4.0 (fma (* a a) (- 1.0 a) (* (* b b) (+ 3.0 a))) (- (pow (/ -1 a) -4.0) 1.0))
0.1b	(fma (* a a) (- 1.0 a) (* (* b b) (+ 3.0 a)))
0.4b	(pow (/ -1 a) -4.0)
0.4b	(* (* b b) (+ 3.0 a))

rewrite8.0ms

Algorithm

rewrite-expression-head

Rules

2×	`+-commutative` `distribute-rgt-in` `distribute-lft-in` `associate-r/` `associate-l` `-commutative` `fma-udef`
1×	`pow-to-exp` `unpow-prod-down` `flip3-+` `flip-+` `div-inv` `sqr-pow`

Counts

4 → 14

Calls

4 calls:

1.0ms	(fma 4.0 (fma (* a a) (- 1.0 a) (* (* b b) (+ 3.0 a))) (- (pow (/ -1 a) -4.0) 1.0))
1.0ms	(fma (* a a) (- 1.0 a) (* (* b b) (+ 3.0 a)))
2.0ms	(pow (/ -1 a) -4.0)
5.0ms	(* (* b b) (+ 3.0 a))

series344.0ms

Counts

4 → 12

Calls

4 calls:

87.0ms	(fma 4.0 (fma (* a a) (- 1.0 a) (* (* b b) (+ 3.0 a))) (- (pow (/ -1 a) -4.0) 1.0))
45.0ms	(fma (* a a) (- 1.0 a) (* (* b b) (+ 3.0 a)))
177.0ms	(pow (/ -1 a) -4.0)
35.0ms	(* (* b b) (+ 3.0 a))

simplify47.0ms

Algorithm

egg-herbie

Counts

26 → 26

Iterations

Useful iterations: 3 (44.0ms)

Iter	Nodes	Cost
0	182	119
1	588	107
2	1789	104
3	5002	102

prune56.0ms

Filtered

26 candidates to 15 candidates (57.7%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	26	0	26
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	26	4	30

Merged error: 0.0b

Counts

30 → 4

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b	(* 2 (pow a 2))
0.1b	(fma b (* b (fma b b (* 2 (pow a 2)))) (pow a 4))
0.2b	(* b (fma b b (* 2 (pow a 2))))

rewrite6.0ms

Algorithm

rewrite-expression-head

Rules

3×	`fma-udef`
2×	`associate-r` `*-commutative`
1×	`distribute-rgt-in` `distribute-lft-in` `unpow2` `sqr-pow`

Counts

3 → 7

Calls

3 calls:

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

series161.0ms

Counts

3 → 9

Calls

3 calls:

28.0ms	(* 2 (pow a 2))
73.0ms	(fma b (* b (fma b b (* 2 (pow a 2)))) (pow a 4))
60.0ms	(* b (fma b b (* 2 (pow a 2))))

simplify45.0ms

Algorithm

egg-herbie

Counts

16 → 16

Iterations

Useful iterations: 2 (10.0ms)

Iter	Nodes	Cost
0	76	57
1	258	57
2	986	51
3	5001	51

prune22.0ms

Filtered

16 candidates to 8 candidates (50.0%)

Pruning

4 alts after pruning (0 fresh and 4 done)

	Pruned	Kept	Total
New	16	0	16
Fresh	0	0	0
Picked	0	1	1
Done	0	3	3
Total	16	4	20

Merged error: 0.0b

Counts

20 → 4

regimes66.0ms

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	19	12
1	19	12

end0.0ms

sample1.6s

Algorithm

intervals

Results

1.2s

20696×

body

valid