Details

sample15.0ms

Algorithm

intervals

Results

6.0ms

350×

body

valid

simplify8.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	10	3
1	23	3
2	38	3
3	47	3
4	47	3

prune2.0ms

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: 0.1b

Counts

2 → 1

localize4.0ms

Local error

Found 1 expressions with local error:

0.1b	(* x (- 1.0 (* x y)))

rewrite3.0ms

Algorithm

rewrite-expression-head

Rules

2×	`distribute-rgt-in` `sub-neg` `distribute-lft-in` `associate-*r/`
1×	`flip3--` `*-commutative` `flip--`

Counts

1 → 7

Calls

1 calls:

3.0ms

(* x (- 1.0 (* x y)))

series42.0ms

Counts

1 → 3

Calls

1 calls:

42.0ms

(* x (- 1.0 (* x y)))

simplify100.0ms

Algorithm

egg-herbie

Counts

10 → 10

Iterations

Useful iterations: 2 (8.0ms)

Iter	Nodes	Cost
0	59	39
1	156	39
2	587	36
3	2304	36
4	5002	36

prune18.0ms

Filtered

10 candidates to 4 candidates (40.0%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	7	3	10
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	8	3	11

Merged error: 0.1b

Counts

11 → 3

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (* x 1.0) (* x (- (* x y))))
0.1b	(* x (- (* x y)))

rewrite9.0ms

Algorithm

rewrite-expression-head

Rules

7×	`*-commutative`
6×	`associate-r`
3×	`distribute-lft-neg-in` `distribute-rgt-neg-out`
2×	`distribute-rgt-out` `distribute-rgt-neg-in`
1×	`+-commutative` `neg-mul-1` `flip3-+` `unsub-neg` `flip-+` `distribute-lft-out`

Counts

2 → 15

Calls

2 calls:

5.0ms	(+ (* x 1.0) (* x (- (* x y))))
4.0ms	(* x (- (* x y)))

series63.0ms

Counts

2 → 6

Calls

2 calls:

42.0ms	(+ (* x 1.0) (* x (- (* x y))))
21.0ms	(* x (- (* x y)))

simplify138.0ms

Algorithm

egg-herbie

Counts

21 → 21

Iterations

Useful iterations: 2 (21.0ms)

Iter	Nodes	Cost
0	94	71
1	414	64
2	2831	60
3	5001	60

prune31.0ms

Filtered

21 candidates to 12 candidates (57.1%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	20	1	21
Fresh	0	2	2
Picked	0	1	1
Done	0	0	0
Total	20	4	24

Merged error: 0.0b

Counts

24 → 4

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (* 1.0 1.0) (* (* x y) (* x y)))
0.3b	(* x (- (* 1.0 1.0) (* (* x y) (* x y))))
0.3b	(* (* x y) (* x y))
6.4b	(/ (* x (- (* 1.0 1.0) (* (* x y) (* x y)))) (+ 1.0 (* x y)))

rewrite34.0ms

Algorithm

rewrite-expression-head

Rules

19×	`*-commutative`
12×	`difference-of-squares`
10×	`associate-r`
6×	`associate-/l*`
4×	`associate-*r/`
3×	`sub-neg` `flip3--` `flip--`
2×	`distribute-rgt-in` `distribute-lft-in` `swap-sqr` `associate-l` `associate-/r/` `associate-/l/`
1×	`pow2` `frac-2neg` `flip3-+` `clear-num` `flip-+` `div-inv`

Counts

4 → 40

Calls

4 calls:

6.0ms	(- (* 1.0 1.0) (* (* x y) (* x y)))
8.0ms	(* x (- (* 1.0 1.0) (* (* x y) (* x y))))
4.0ms	(* (* x y) (* x y))
14.0ms	(/ (* x (- (* 1.0 1.0) (* (* x y) (* x y)))) (+ 1.0 (* x y)))

series237.0ms

Counts

4 → 12

Calls

4 calls:

47.0ms	(- (* 1.0 1.0) (* (* x y) (* x y)))
70.0ms	(* x (- (* 1.0 1.0) (* (* x y) (* x y))))
31.0ms	(* (* x y) (* x y))
88.0ms	(/ (* x (- (* 1.0 1.0) (* (* x y) (* x y)))) (+ 1.0 (* x y)))

simplify197.0ms

Algorithm

egg-herbie

Counts

52 → 52

Iterations

Useful iterations: 3 (190.0ms)

Iter	Nodes	Cost
0	178	264
1	681	255
2	3955	231
3	5001	228

prune86.0ms

Filtered

52 candidates to 31 candidates (59.6%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	48	4	52
Fresh	1	1	2
Picked	0	1	1
Done	1	0	1
Total	50	6	56

Merged error: 0b

Counts

56 → 6

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ (+ 1.0 (* x y)) (- 1.0 (* x y)))
0.0b	(/ (* x (+ 1.0 (* x y))) (/ (+ 1.0 (* x y)) (- 1.0 (* x y))))
0.1b	(* x (+ 1.0 (* x y)))

rewrite20.0ms

Algorithm

rewrite-expression-head

Rules

13×	`associate-/r/`
6×	`times-frac` `associate-/l/`
5×	`*-commutative` `div-inv`
4×	`flip3--` `flip3-+` `associate-*r/` `flip--` `flip-+`
3×	`frac-2neg` `clear-num` `associate-/r*`
2×	`+-commutative` `distribute-rgt-in` `distribute-lft-in` `associate-/l*`

Counts

3 → 35

Calls

3 calls:

4.0ms	(/ (+ 1.0 (* x y)) (- 1.0 (* x y)))
8.0ms	(/ (* x (+ 1.0 (* x y))) (/ (+ 1.0 (* x y)) (- 1.0 (* x y))))
6.0ms	(* x (+ 1.0 (* x y)))

series133.0ms

Counts

3 → 9

Calls

3 calls:

55.0ms	(/ (+ 1.0 (* x y)) (- 1.0 (* x y)))
43.0ms	(/ (* x (+ 1.0 (* x y))) (/ (+ 1.0 (* x y)) (- 1.0 (* x y))))
36.0ms	(* x (+ 1.0 (* x y)))

simplify34.0ms

Algorithm

egg-herbie

Counts

44 → 44

Iterations

Useful iterations: 2 (30.0ms)

Iter	Nodes	Cost
0	220	282
1	839	246
2	5001	231

prune82.0ms

Filtered

44 candidates to 31 candidates (70.5%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	44	0	44
Fresh	0	4	4
Picked	0	1	1
Done	0	1	1
Total	44	6	50

Merged error: 0b

Counts

50 → 6

regimes39.0ms

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	9
1	12	9

end0.0ms

sample373.0ms

Algorithm

intervals

Results

198.0ms

10680×

body

valid