Details

sample57.0ms

Algorithm

intervals

Results

39.0ms

699×

body

valid

simplify94.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	53	15
1	161	15
2	459	15
3	1323	15
4	2992	15
5	5001	15

prune3.0ms

Filtered

1 candidates to 0 candidates (0.0%)

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: 0.2b

Counts

2 → 1

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

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` `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)

series270.0ms

Counts

4 → 12

Calls

4 calls:

67.0ms	(* 4.0 (+ (* (* a a) (+ 1.0 a)) (* (* b b) (- 1.0 (* 3.0 a)))))
49.0ms	(* (* a a) (+ 1.0 a))
54.0ms	(* (* b b) (- 1.0 (* 3.0 a)))
100.0ms	(pow (+ (* a a) (* b b)) 2.0)

simplify60.0ms

Algorithm

egg-herbie

Counts

59 → 59

Iterations

Useful iterations: 1 (15.0ms)

Iter	Nodes	Cost
0	446	485
1	1926	470
2	5001	470

prune121.0ms

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

localize21.0ms

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)))
1.8b	(* (pow a 2) (pow b 2))

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` `associate-l` `*-commutative` `unpow2` `sqr-pow`
4×	`flip3-+` `frac-add` `flip-+` `unswap-sqr`
3×	`flip3--` `flip--`
2×	`pow-to-exp` `associate-r`
1×	`pow-prod-down` `prod-exp`

Counts

4 → 56

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)))
4.0ms	(* (pow a 2) (pow b 2))

series194.0ms

Counts

4 → 12

Calls

4 calls:

62.0ms	(* 4.0 (+ (* (* a a) (+ 1.0 a)) (* (* b b) (- 1.0 (* 3.0 a)))))
49.0ms	(* (* a a) (+ 1.0 a))
49.0ms	(* (* b b) (- 1.0 (* 3.0 a)))
34.0ms	(* (pow a 2) (pow b 2))

simplify59.0ms

Algorithm

egg-herbie

Counts

68 → 68

Iterations

Useful iterations: 1 (12.0ms)

Iter	Nodes	Cost
0	442	490
1	1931	475
2	5002	475

prune155.0ms

Filtered

68 candidates to 33 candidates (48.5%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	68	0	68
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	68	3	71

Merged error: 0.1b

Counts

71 → 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))
0.3b	(* (* 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:

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)))
2.0ms	(pow (/ -1 a) -4.0)

series360.0ms

Counts

4 → 12

Calls

4 calls:

63.0ms	(* 4.0 (+ (* (* a a) (+ 1.0 a)) (* (* b b) (- 1.0 (* 3.0 a)))))
49.0ms	(* (* a a) (+ 1.0 a))
61.0ms	(* (* b b) (- 1.0 (* 3.0 a)))
187.0ms	(pow (/ -1 a) -4.0)

simplify54.0ms

Algorithm

egg-herbie

Counts

60 → 60

Iterations

Useful iterations: 1 (12.0ms)

Iter	Nodes	Cost
0	455	482
1	1882	463
2	5001	463

prune123.0ms

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

regimes99.0ms

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

1.2s

20696×

body

valid