Details

sample54.0ms

Algorithm

intervals

Results

36.0ms

683×

body

valid

simplify50.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 2 (7.0ms)

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

prune6.0ms

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

localize19.0ms

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))
0.2b	(* (* b b) (- 1.0 (* 3.0 a)))
0.3b	(pow (+ (* a a) (* b b)) 2.0)

rewrite28.0ms

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:

12.0ms	(* 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)

series288.0ms

Counts

4 → 12

Calls

4 calls:

76.0ms	(* 4.0 (+ (* (* a a) (+ 1.0 a)) (* (* b b) (- 1.0 (* 3.0 a)))))
59.0ms	(* (* a a) (+ 1.0 a))
51.0ms	(* (* b b) (- 1.0 (* 3.0 a)))
101.0ms	(pow (+ (* a a) (* b b)) 2.0)

simplify56.0ms

Algorithm

egg-herbie

Counts

59 → 59

Iterations

Useful iterations: 2 (49.0ms)

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

prune131.0ms

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

localize22.0ms

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))
0.2b	(* (* b b) (- 1.0 (* 3.0 a)))
0.8b	(fma (* 2.0 (pow a 2)) (pow b 2) (pow b 4))

rewrite25.0ms

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:

12.0ms	(* 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)))
1.0ms	(fma (* 2.0 (pow a 2)) (pow b 2) (pow b 4))

series238.0ms

Counts

4 → 12

Calls

4 calls:

64.0ms	(* 4.0 (+ (* (* a a) (+ 1.0 a)) (* (* b b) (- 1.0 (* 3.0 a)))))
48.0ms	(* (* a a) (+ 1.0 a))
53.0ms	(* (* b b) (- 1.0 (* 3.0 a)))
71.0ms	(fma (* 2.0 (pow a 2)) (pow b 2) (pow b 4))

simplify56.0ms

Algorithm

egg-herbie

Counts

58 → 58

Iterations

Useful iterations: 2 (49.0ms)

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

prune136.0ms

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

localize16.0ms

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))
0.2b	(* (* b b) (- 1.0 (* 3.0 a)))
0.4b	(pow (/ -1 a) -4.0)

rewrite26.0ms

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)

series334.0ms

Counts

4 → 12

Calls

4 calls:

60.0ms	(* 4.0 (+ (* (* a a) (+ 1.0 a)) (* (* b b) (- 1.0 (* 3.0 a)))))
50.0ms	(* (* a a) (+ 1.0 a))
48.0ms	(* (* b b) (- 1.0 (* 3.0 a)))
176.0ms	(pow (/ -1 a) -4.0)

simplify56.0ms

Algorithm

egg-herbie

Counts

60 → 60

Iterations

Useful iterations: 2 (47.0ms)

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

prune115.0ms

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

regimes96.0ms

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

sample1.4s

Algorithm

intervals

Results

1.1s

20539×

body

valid