Details

sample51.0ms

Algorithm

intervals

Results

34.0ms

683×

body

valid

simplify76.0ms

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

prune9.0ms

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

localize15.0ms

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))

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) (+ 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))

series240.0ms

Counts

4 → 12

Calls

4 calls:

59.0ms	(* 4.0 (+ (* (* a a) (- 1.0 a)) (* (* b b) (+ 3.0 a))))
47.0ms	(* (* a a) (- 1.0 a))
102.0ms	(pow (+ (* a a) (* b b)) 2.0)
31.0ms	(* (* b b) (+ 3.0 a))

simplify47.0ms

Algorithm

egg-herbie

Counts

59 → 59

Iterations

Useful iterations: 2 (41.0ms)

Iter	Nodes	Cost
0	435	430
1	1838	414
2	5001	409

prune129.0ms

Filtered

59 candidates to 30 candidates (50.8%)

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

localize15.0ms

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

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:

12.0ms	(* 4.0 (+ (* a (* a (- 1.0 a))) (* (* b b) (+ 3.0 a))))
4.0ms	(* a (* a (- 1.0 a)))
3.0ms	(pow (+ (* a a) (* b b)) 2.0)
5.0ms	(* (* b b) (+ 3.0 a))

series240.0ms

Counts

4 → 12

Calls

4 calls:

59.0ms	(* 4.0 (+ (* a (* a (- 1.0 a))) (* (* b b) (+ 3.0 a))))
48.0ms	(* a (* a (- 1.0 a)))
102.0ms	(pow (+ (* a a) (* b b)) 2.0)
30.0ms	(* (* b b) (+ 3.0 a))

simplify47.0ms

Algorithm

egg-herbie

Counts

71 → 71

Iterations

Useful iterations: 2 (40.0ms)

Iter	Nodes	Cost
0	463	541
1	1792	517
2	5003	498

prune133.0ms

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

localize19.0ms

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)))

rewrite17.0ms

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)))

series231.0ms

Counts

4 → 12

Calls

4 calls:

53.0ms	(* a (* a (- 1.0 a)))
31.0ms	(* (* b b) (+ 3.0 a))
98.0ms	(exp (* (log (+ (* a a) (* b b))) 2.0))
49.0ms	(log (+ (* a a) (* b b)))

simplify63.0ms

Algorithm

egg-herbie

Counts

39 → 39

Iterations

Useful iterations: 1 (6.0ms)

Iter	Nodes	Cost
0	234	157
1	824	143
2	2552	143
3	5001	143

prune85.0ms

Filtered

39 candidates to 20 candidates (51.3%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	38	1	39
Fresh	1	1	2
Picked	0	1	1
Done	0	1	1
Total	39	4	43

Merged error: 0.1b

Counts

43 → 4

localize24.0ms

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))
0.8b	(fma (* 2.0 (pow a 2)) (pow b 2) (pow b 4))

rewrite26.0ms

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×	`fma-udef`

Counts

4 → 58

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

series219.0ms

Counts

4 → 12

Calls

4 calls:

58.0ms	(* 4.0 (+ (* a (* a (- 1.0 a))) (* (* b b) (+ 3.0 a))))
56.0ms	(* a (* a (- 1.0 a)))
32.0ms	(* (* b b) (+ 3.0 a))
73.0ms	(fma (* 2.0 (pow a 2)) (pow b 2) (pow b 4))

simplify57.0ms

Algorithm

egg-herbie

Counts

70 → 70

Iterations

Useful iterations: 2 (44.0ms)

Iter	Nodes	Cost
0	440	538
1	1744	512
2	5002	493

prune134.0ms

Filtered

70 candidates to 26 candidates (37.1%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	70	0	70
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	70	4	74

Merged error: 0.1b

Counts

74 → 4

regimes63.0ms

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

1.0s

20539×

body

valid