Details

sample59.0ms

Algorithm

intervals

Results

39.0ms

699×

body

valid

simplify61.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 2 (10.0ms)

Iter	Nodes	Cost
0	55	15
1	179	14
2	561	13
3	1824	13
4	5002	13

prune7.0ms

Filtered

1 candidates to 1 candidates (100.0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

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

Merged error: 0.2b

Counts

2 → 1

localize23.0ms

Local error

Found 4 expressions with local error:

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

rewrite31.0ms

Algorithm

rewrite-expression-head

Rules

22×	`distribute-rgt-in` `distribute-lft-in`
18×	`associate-*r/`
8×	`+-commutative` `associate-+l+` `associate-+r+`
6×	`sub-neg`
5×	`*-commutative`
4×	`flip3-+` `associate-l` `frac-add` `flip-+`
3×	`flip3--` `flip--`
1×	`pow-to-exp` `sqr-pow`

Counts

4 → 47

Calls

4 calls:

14.0ms	(* 4.0 (+ (* (* a a) (+ 1.0 a)) (* (* b b) (- 1.0 (* 3.0 a)))))
5.0ms	(* (* a a) (+ 1.0 a))
5.0ms	(* (* b b) (- 1.0 (* 3.0 a)))
4.0ms	(pow (+ (* a a) (* b b)) 2.0)

series308.0ms

Counts

4 → 12

Calls

4 calls:

76.0ms	(* 4.0 (+ (* (* a a) (+ 1.0 a)) (* (* b b) (- 1.0 (* 3.0 a)))))
54.0ms	(* (* a a) (+ 1.0 a))
59.0ms	(* (* b b) (- 1.0 (* 3.0 a)))
118.0ms	(pow (+ (* a a) (* b b)) 2.0)

simplify70.0ms

Algorithm

egg-herbie

Counts

59 → 59

Iterations

Useful iterations: 2 (62.0ms)

Iter	Nodes	Cost
0	468	476
1	2121	458
2	5001	446

prune153.0ms

Filtered

59 candidates to 30 candidates (50.8%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	57	2	59
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	57	3	60

Merged error: 0.1b

Counts

60 → 3

localize25.0ms

Local error

Found 4 expressions with local error:

0.0b	(* 4.0 (+ (* (* a a) (+ 1.0 a)) (* (* b b) (- 1.0 (* 3.0 a)))))
0.1b	(* (* a a) (+ 1.0 a))
0.3b	(* (* b b) (- 1.0 (* 3.0 a)))
0.7b	(fma (* 2.0 (pow a 2)) (pow b 2) (pow b 4))

rewrite29.0ms

Algorithm

rewrite-expression-head

Rules

22×	`distribute-rgt-in` `distribute-lft-in`
18×	`associate-*r/`
8×	`+-commutative` `associate-+l+` `associate-+r+`
6×	`sub-neg`
5×	`*-commutative`
4×	`flip3-+` `associate-l` `frac-add` `flip-+`
3×	`flip3--` `flip--`
1×	`fma-udef`

Counts

4 → 46

Calls

4 calls:

15.0ms	(* 4.0 (+ (* (* a a) (+ 1.0 a)) (* (* b b) (- 1.0 (* 3.0 a)))))
5.0ms	(* (* a a) (+ 1.0 a))
6.0ms	(* (* b b) (- 1.0 (* 3.0 a)))
1.0ms	(fma (* 2.0 (pow a 2)) (pow b 2) (pow b 4))

series284.0ms

Counts

4 → 12

Calls

4 calls:

80.0ms	(* 4.0 (+ (* (* a a) (+ 1.0 a)) (* (* b b) (- 1.0 (* 3.0 a)))))
54.0ms	(* (* a a) (+ 1.0 a))
64.0ms	(* (* b b) (- 1.0 (* 3.0 a)))
86.0ms	(fma (* 2.0 (pow a 2)) (pow b 2) (pow b 4))

simplify70.0ms

Algorithm

egg-herbie

Counts

58 → 58

Iterations

Useful iterations: 2 (62.0ms)

Iter	Nodes	Cost
0	445	473
1	2076	453
2	5003	441

prune160.0ms

Filtered

58 candidates to 26 candidates (44.8%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	58	0	58
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	58	3	61

Merged error: 0.1b

Counts

61 → 3

localize17.0ms

Local error

Found 4 expressions with local error:

0.0b	(* 4.0 (+ (* (* a a) (+ 1.0 a)) (* (* b b) (- 1.0 (* 3.0 a)))))
0.1b	(* (* a a) (+ 1.0 a))
0.3b	(* (* b b) (- 1.0 (* 3.0 a)))
0.4b	(pow (/ -1 a) -4.0)

rewrite27.0ms

Algorithm

rewrite-expression-head

Rules

22×	`distribute-rgt-in` `distribute-lft-in`
18×	`associate-*r/`
8×	`+-commutative` `associate-+l+` `associate-+r+`
6×	`sub-neg`
5×	`*-commutative`
4×	`flip3-+` `associate-l` `frac-add` `flip-+`
3×	`flip3--` `flip--`
1×	`pow-to-exp` `unpow-prod-down` `div-inv` `sqr-pow`

Counts

4 → 48

Calls

4 calls:

13.0ms	(* 4.0 (+ (* (* a a) (+ 1.0 a)) (* (* b b) (- 1.0 (* 3.0 a)))))
5.0ms	(* (* a a) (+ 1.0 a))
5.0ms	(* (* b b) (- 1.0 (* 3.0 a)))
2.0ms	(pow (/ -1 a) -4.0)

series362.0ms

Counts

4 → 12

Calls

4 calls:

64.0ms	(* 4.0 (+ (* (* a a) (+ 1.0 a)) (* (* b b) (- 1.0 (* 3.0 a)))))
54.0ms	(* (* a a) (+ 1.0 a))
57.0ms	(* (* b b) (- 1.0 (* 3.0 a)))
186.0ms	(pow (/ -1 a) -4.0)

simplify60.0ms

Algorithm

egg-herbie

Counts

60 → 60

Iterations

Useful iterations: 2 (53.0ms)

Iter	Nodes	Cost
0	476	473
1	2072	452
2	5002	440

prune132.0ms

Filtered

60 candidates to 28 candidates (46.7%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	60	0	60
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	60	3	63

Merged error: 0.1b

Counts

63 → 3

regimes104.0ms

Accuracy

0% (0.1b 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	27	15
1	27	15

end0.0ms

sample1.5s

Algorithm

intervals

Results

1.1s

20696×

body

valid