Details

sample15.0ms

Algorithm

intervals

Results

7.0ms

360×

body

valid

simplify12.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	12	3
1	32	3
2	74	3
3	112	3
4	123	3
5	127	3
6	127	3

prune1.0ms

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 y) (- 1.0 y))

rewrite4.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

1 → 9

Calls

1 calls:

4.0ms

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

series41.0ms

Counts

1 → 3

Calls

1 calls:

41.0ms

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

simplify90.0ms

Algorithm

egg-herbie

Counts

12 → 12

Iterations

Useful iterations: 2 (7.0ms)

Iter	Nodes	Cost
0	68	49
1	201	46
2	728	43
3	2729	43
4	5002	43

prune15.0ms

Filtered

12 candidates to 6 candidates (50.0%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	10	2	12
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	10	3	13

Merged error: 0.0b

Counts

13 → 3

localize4.0ms

Local error

Found 2 expressions with local error:

0.0b	(* y (- 1.0 y))
5.9b	(* x (* y (- 1.0 y)))

rewrite8.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 20

Calls

2 calls:

3.0ms	(* y (- 1.0 y))
4.0ms	(* x (* y (- 1.0 y)))

series86.0ms

Counts

2 → 6

Calls

2 calls:

42.0ms	(* y (- 1.0 y))
43.0ms	(* x (* y (- 1.0 y)))

simplify88.0ms

Algorithm

egg-herbie

Counts

26 → 26

Iterations

Useful iterations: 2 (7.0ms)

Iter	Nodes	Cost
0	82	97
1	210	91
2	745	88
3	2751	88
4	5001	88

prune25.0ms

Filtered

26 candidates to 10 candidates (38.5%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	26	0	26
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	26	3	29

Merged error: 0.0b

Counts

29 → 3

localize13.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (* y y) (* 1.0 y))
1.7b	(* (* x y) (- (pow 1.0 3) (pow y 3)))
9.7b	(/ (* (* x y) (- (pow 1.0 3) (pow y 3))) (+ (* 1.0 1.0) (+ (* y y) (* 1.0 y))))

rewrite26.0ms

Algorithm

rewrite-expression-head

Rules

12×	`sqr-pow`
9×	`*-commutative`
8×	`unpow3` `prod-diff`
6×	`distribute-rgt-in` `distribute-lft-in` `associate-/l*`
4×	`associate-r/` `associate-r` `associate-l*`
2×	`difference-cubes` `sub-neg` `distribute-rgt-out` `flip3--` `fma-def` `flip3-+` `associate-/r/` `flip--` `flip-+` `associate-/l/` `distribute-lft-out` `difference-of-squares`
1×	`+-commutative` `frac-2neg` `clear-num` `div-inv`

Counts

3 → 41

Calls

3 calls:

4.0ms	(+ (* y y) (* 1.0 y))
7.0ms	(* (* x y) (- (pow 1.0 3) (pow y 3)))
13.0ms	(/ (* (* x y) (- (pow 1.0 3) (pow y 3))) (+ (* 1.0 1.0) (+ (* y y) (* 1.0 y))))

series316.0ms

Counts

3 → 9

Calls

3 calls:

52.0ms	(+ (* y y) (* 1.0 y))
96.0ms	(* (* x y) (- (pow 1.0 3) (pow y 3)))
168.0ms	(/ (* (* x y) (- (pow 1.0 3) (pow y 3))) (+ (* 1.0 1.0) (+ (* y y) (* 1.0 y))))

simplify42.0ms

Algorithm

egg-herbie

Counts

50 → 50

Iterations

Useful iterations: 2 (36.0ms)

Iter	Nodes	Cost
0	349	335
1	1349	312
2	5002	288

prune107.0ms

Filtered

50 candidates to 30 candidates (60.0%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	49	1	50
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	49	4	53

Merged error: 0.0b

Counts

53 → 4

localize13.0ms

Local error

Found 3 expressions with local error:

3.4b	(/ (/ (fma 1.0 1.0 (fma y y (* 1.0 y))) y) (- (pow 1.0 3) (pow y 3)))
5.9b	(/ (fma 1.0 1.0 (fma y y (* 1.0 y))) y)
6.0b	(/ x (/ (/ (fma 1.0 1.0 (fma y y (* 1.0 y))) y) (- (pow 1.0 3) (pow y 3))))

rewrite15.0ms

Algorithm

rewrite-expression-head

Rules

13×	`associate-/r/`
10×	`div-inv`
9×	`associate-/r*`
8×	`sqr-pow`
6×	`frac-2neg` `clear-num` `associate-/l/`
4×	`difference-cubes` `times-frac` `difference-of-squares`
2×	`flip3--` `flip--` `associate-/l*`

Counts

3 → 33

Calls

3 calls:

5.0ms	(/ (/ (fma 1.0 1.0 (fma y y (* 1.0 y))) y) (- (pow 1.0 3) (pow y 3)))
2.0ms	(/ (fma 1.0 1.0 (fma y y (* 1.0 y))) y)
7.0ms	(/ x (/ (/ (fma 1.0 1.0 (fma y y (* 1.0 y))) y) (- (pow 1.0 3) (pow y 3))))

series285.0ms

Counts

3 → 9

Calls

3 calls:

78.0ms	(/ (/ (fma 1.0 1.0 (fma y y (* 1.0 y))) y) (- (pow 1.0 3) (pow y 3)))
46.0ms	(/ (fma 1.0 1.0 (fma y y (* 1.0 y))) y)
160.0ms	(/ x (/ (/ (fma 1.0 1.0 (fma y y (* 1.0 y))) y) (- (pow 1.0 3) (pow y 3))))

simplify30.0ms

Algorithm

egg-herbie

Counts

42 → 42

Iterations

Useful iterations: 2 (26.0ms)

Iter	Nodes	Cost
0	217	279
1	808	247
2	5001	232

prune111.0ms

Filtered

42 candidates to 32 candidates (76.2%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	41	1	42
Fresh	0	0	0
Picked	1	0	1
Done	0	3	3
Total	42	4	46

Merged error: 0.0b

Counts

46 → 4

regimes46.0ms

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	8	3
1	8	3

end0.0ms

sample360.0ms

Algorithm

intervals

Results

200.0ms

10787×

body

valid