Details

sample15.0ms

Algorithm

intervals

Results

7.0ms

350×

body

valid

simplify10.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	10	3
1	23	3
2	44	3
3	62	3
4	63	3
5	63	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

localize5.0ms

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)))

series45.0ms

Counts

1 → 3

Calls

1 calls:

45.0ms

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

simplify93.0ms

Algorithm

egg-herbie

Counts

10 → 10

Iterations

Useful iterations: 2 (7.0ms)

Iter	Nodes	Cost
0	61	39
1	162	39
2	627	35
3	2459	35
4	5003	35

prune13.0ms

Filtered

10 candidates to 4 candidates (40.0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	8	2	10
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	9	2	11

Merged error: 0.1b

Counts

11 → 2

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

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

Counts

2 → 17

Calls

2 calls:

5.0ms	(+ (* x 1.0) (* x (- (* x y))))
3.0ms	(* x (- (* x y)))

series67.0ms

Counts

2 → 6

Calls

2 calls:

41.0ms	(+ (* x 1.0) (* x (- (* x y))))
26.0ms	(* x (- (* x y)))

simplify129.0ms

Algorithm

egg-herbie

Counts

23 → 23

Iterations

Useful iterations: 3 (126.0ms)

Iter	Nodes	Cost
0	99	71
1	452	63
2	3123	60
3	5001	58

prune39.0ms

Filtered

23 candidates to 14 candidates (60.9%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	22	1	23
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	22	3	25

Merged error: 0.0b

Counts

25 → 3

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (* x 1.0) (* -1 (* (pow x 2) y)))
12.2b	(* (pow x 2) y)

rewrite10.0ms

Algorithm

rewrite-expression-head

Rules

2×	`fma-def` `mul-1-neg` `associate-l` `*-commutative`
1×	`+-commutative` `flip3-+` `unsub-neg` `flip-+` `unpow2` `sqr-pow`

Counts

2 → 10

Calls

2 calls:

6.0ms	(+ (* x 1.0) (* -1 (* (pow x 2) y)))
3.0ms	(* (pow x 2) y)

series62.0ms

Counts

2 → 6

Calls

2 calls:

44.0ms	(+ (* x 1.0) (* -1 (* (pow x 2) y)))
18.0ms	(* (pow x 2) y)

simplify107.0ms

Algorithm

egg-herbie

Counts

16 → 16

Iterations

Useful iterations: 3 (105.0ms)

Iter	Nodes	Cost
0	86	56
1	354	52
2	2203	43
3	5002	41

prune27.0ms

Filtered

16 candidates to 10 candidates (62.5%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	16	0	16
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	16	3	19

Merged error: 0.0b

Counts

19 → 3

localize19.0ms

Local error

Found 4 expressions with local error:

0.3b	(* (* x y) (* x y))
0.3b	(pow (* x y) 3)
1.0b	(* x (- (pow 1.0 3) (pow (* x y) 3)))
10.2b	(/ (* x (- (pow 1.0 3) (pow (* x y) 3))) (+ (* 1.0 1.0) (+ (* (* x y) (* x y)) (* 1.0 (* x y)))))

rewrite33.0ms

Algorithm

rewrite-expression-head

Rules

17×	`sqr-pow`
16×	`prod-diff`
13×	`unpow3`
12×	`*-commutative`
10×	`distribute-rgt-in` `unpow-prod-down` `distribute-lft-in`
6×	`associate-r`
4×	`associate-r/` `associate-/l`
2×	`difference-cubes` `sub-neg` `flip3--` `swap-sqr` `associate-l` `associate-/r/` `flip--` `associate-/l/` `difference-of-squares`
1×	`pow2` `pow-to-exp` `frac-2neg` `flip3-+` `clear-num` `flip-+` `div-inv`

Counts

4 → 49

Calls

4 calls:

4.0ms	(* (* x y) (* x y))
2.0ms	(pow (* x y) 3)
7.0ms	(* x (- (pow 1.0 3) (pow (* x y) 3)))
18.0ms	(/ (* x (- (pow 1.0 3) (pow (* x y) 3))) (+ (* 1.0 1.0) (+ (* (* x y) (* x y)) (* 1.0 (* x y)))))

series310.0ms

Counts

4 → 12

Calls

4 calls:

32.0ms	(* (* x y) (* x y))
54.0ms	(pow (* x y) 3)
87.0ms	(* x (- (pow 1.0 3) (pow (* x y) 3)))
137.0ms	(/ (* x (- (pow 1.0 3) (pow (* x y) 3))) (+ (* 1.0 1.0) (+ (* (* x y) (* x y)) (* 1.0 (* x y)))))

simplify48.0ms

Algorithm

egg-herbie

Counts

61 → 61

Iterations

Useful iterations: 2 (41.0ms)

Iter	Nodes	Cost
0	317	526
1	1222	459
2	5002	405

prune126.0ms

Filtered

61 candidates to 34 candidates (55.7%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	56	5	61
Fresh	0	0	0
Picked	1	0	1
Done	0	2	2
Total	57	7	64

Merged error: 0.0b

Counts

64 → 7

regimes58.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	5
1	23	5
2	24	5
3	24	5

end0.0ms

sample386.0ms

Algorithm

intervals

Results

213.0ms

10680×

body

valid