Details

sample54.0ms

Algorithm

intervals

Results

35.0ms

683×

body

valid

simplify74.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	51	14
1	155	14
2	430	14
3	1195	14
4	2526	14
5	5001	14

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

localize19.0ms

Local error

Found 4 expressions with local error:

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

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:

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

series251.0ms

Counts

4 → 12

Calls

4 calls:

63.0ms	(* 4.0 (+ (* (* a a) (- 1.0 a)) (* (* b b) (+ 3.0 a))))
53.0ms	(* (* a a) (- 1.0 a))
103.0ms	(pow (+ (* a a) (* b b)) 2.0)
32.0ms	(* (* b b) (+ 3.0 a))

simplify47.0ms

Algorithm

egg-herbie

Counts

59 → 59

Iterations

Useful iterations: 1 (10.0ms)

Iter	Nodes	Cost
0	413	438
1	1674	433
2	5001	433

prune134.0ms

Filtered

59 candidates to 31 candidates (52.5%)

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	55	4	59
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	56	4	60

Merged error: 0.1b

Counts

60 → 4

localize21.0ms

Local error

Found 4 expressions with local error:

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

rewrite29.0ms

Algorithm

rewrite-expression-head

Rules

44×	`distribute-rgt-in` `distribute-lft-in`
24×	`associate-*r/`
16×	`associate-+l+`
12×	`sub-neg`
8×	`+-commutative` `associate-+r+`
5×	`*-commutative`
4×	`flip3-+` `frac-add` `flip-+`
3×	`flip3--` `flip--`
2×	`associate-r` `associate-l`
1×	`pow-to-exp` `sqr-pow`

Counts

4 → 59

Calls

4 calls:

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

series253.0ms

Counts

4 → 12

Calls

4 calls:

62.0ms	(* 4.0 (+ (* a (* a (- 1.0 a))) (* (* b b) (+ 3.0 a))))
54.0ms	(* a (* a (- 1.0 a)))
103.0ms	(pow (+ (* a a) (* b b)) 2.0)
33.0ms	(* (* b b) (+ 3.0 a))

simplify48.0ms

Algorithm

egg-herbie

Counts

71 → 71

Iterations

Useful iterations: 1 (11.0ms)

Iter	Nodes	Cost
0	439	549
1	1623	532
2	5001	532

prune129.0ms

Filtered

71 candidates to 30 candidates (42.3%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	68	3	71
Fresh	3	0	3
Picked	0	1	1
Done	0	0	0
Total	71	4	75

Merged error: 0.1b

Counts

75 → 4

localize25.0ms

Local error

Found 4 expressions with local error:

0.1b	(* a (* a (- 1.0 a)))
0.4b	(* (* b b) (+ 3.0 a))
3.7b	(exp (* (log (+ (* a a) (* b b))) 2.0))
8.6b	(log (+ (* a a) (* b b)))

rewrite18.0ms

Algorithm

rewrite-expression-head

Rules

10×	`distribute-rgt-in` `distribute-lft-in`
6×	`associate-*r/`
5×	`*-commutative`
4×	`sub-neg`
2×	`+-commutative` `log-div` `exp-prod` `flip3-+` `associate-r` `associate-l` `flip-+`
1×	`flip3--` `exp-to-pow` `flip--`

Counts

4 → 27

Calls

4 calls:

4.0ms	(* a (* a (- 1.0 a)))
5.0ms	(* (* b b) (+ 3.0 a))
3.0ms	(exp (* (log (+ (* a a) (* b b))) 2.0))
4.0ms	(log (+ (* a a) (* b b)))

series238.0ms

Counts

4 → 12

Calls

4 calls:

49.0ms	(* a (* a (- 1.0 a)))
38.0ms	(* (* b b) (+ 3.0 a))
104.0ms	(exp (* (log (+ (* a a) (* b b))) 2.0))
47.0ms	(log (+ (* a a) (* b b)))

simplify62.0ms

Algorithm

egg-herbie

Counts

39 → 39

Iterations

Useful iterations: 1 (7.0ms)

Iter	Nodes	Cost
0	225	158
1	759	145
2	2297	145
3	5001	145

prune88.0ms

Filtered

39 candidates to 19 candidates (48.7%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	39	0	39
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	39	4	43

Merged error: 0.1b

Counts

43 → 4

localize21.0ms

Local error

Found 4 expressions with local error:

0.0b	(* 4.0 (+ (* a (* a (- 1.0 a))) (* (* b b) (+ 3.0 a))))
0.1b	(* a (* a (- 1.0 a)))
0.4b	(* (* b b) (+ 3.0 a))
2.5b	(* (pow a 2) (pow b 2))

rewrite33.0ms

Algorithm

rewrite-expression-head

Rules

44×	`distribute-rgt-in` `distribute-lft-in`
24×	`associate-*r/`
16×	`associate-+l+`
12×	`sub-neg`
8×	`+-commutative` `associate-+r+`
6×	`*-commutative` `unpow2` `sqr-pow`
4×	`flip3-+` `associate-r` `associate-l` `frac-add` `flip-+` `unswap-sqr`
3×	`flip3--` `flip--`
2×	`pow-to-exp`
1×	`pow-prod-down` `prod-exp`

Counts

4 → 68

Calls

4 calls:

13.0ms	(* 4.0 (+ (* a (* a (- 1.0 a))) (* (* b b) (+ 3.0 a))))
4.0ms	(* a (* a (- 1.0 a)))
5.0ms	(* (* b b) (+ 3.0 a))
5.0ms	(* (pow a 2) (pow b 2))

series180.0ms

Counts

4 → 12

Calls

4 calls:

62.0ms	(* 4.0 (+ (* a (* a (- 1.0 a))) (* (* b b) (+ 3.0 a))))
54.0ms	(* a (* a (- 1.0 a)))
32.0ms	(* (* b b) (+ 3.0 a))
31.0ms	(* (pow a 2) (pow b 2))

simplify53.0ms

Algorithm

egg-herbie

Counts

80 → 80

Iterations

Useful iterations: 1 (11.0ms)

Iter	Nodes	Cost
0	433	554
1	1726	537
2	5001	537

prune157.0ms

Filtered

80 candidates to 33 candidates (41.3%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	80	0	80
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	80	4	84

Merged error: 0.1b

Counts

84 → 4

regimes64.0ms

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	14
1	27	14

end0.0ms

sample1.4s

Algorithm

intervals

Results

1.1s

20539×

body

valid