Details

sample15.0ms

Algorithm

intervals

Results

6.0ms

324×

body

valid

simplify60.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	11	3
1	26	3
2	56	3
3	137	3
4	229	3
5	289	3
6	379	3
7	582	3
8	878	3
9	1193	3
10	1234	3
11	1234	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: 0.0b

Counts

2 → 1

localize5.0ms

Local error

Found 1 expressions with local error:

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

rewrite5.0ms

Algorithm

rewrite-expression-head

Rules

4×	`frac-times`
3×	`flip3--` `flip3-+` `flip--` `flip-+`
2×	`distribute-rgt-in` `sub-neg` `distribute-lft-in` `associate-r/` `associate-l/`
1×	`*-commutative`

Counts

1 → 13

Calls

1 calls:

4.0ms

(* (+ x y) (- 1.0 z))

series31.0ms

Counts

1 → 3

Calls

1 calls:

31.0ms

(* (+ x y) (- 1.0 z))

simplify57.0ms

Algorithm

egg-herbie

Counts

16 → 16

Iterations

Useful iterations: 1 (5.0ms)

Iter	Nodes	Cost
0	154	107
1	496	106
2	2121	106
3	5002	106

prune42.0ms

Filtered

16 candidates to 12 candidates (75.0%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	13	3	16
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	13	4	17

Merged error: 0b

Counts

17 → 4

localize7.0ms

Local error

Found 2 expressions with local error:

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

rewrite13.0ms

Algorithm

rewrite-expression-head

Rules

10×	`associate-*r/`
7×	`+-commutative`
6×	`distribute-rgt-in` `distribute-lft-in` `flip3-+` `flip-+`
4×	`associate-+l+` `associate-+r+` `frac-add`
3×	`distribute-lft-neg-out` `*-commutative`
1×	`neg-mul-1` `distribute-rgt-out` `associate-l` `unsub-neg` `distribute-lft-out`

Counts

2 → 28

Calls

2 calls:

8.0ms	(+ (* 1.0 (+ x y)) (* (- z) (+ x y)))
4.0ms	(* (- z) (+ x y))

series84.0ms

Counts

2 → 6

Calls

2 calls:

44.0ms	(+ (* 1.0 (+ x y)) (* (- z) (+ x y)))
40.0ms	(* (- z) (+ x y))

simplify37.0ms

Algorithm

egg-herbie

Counts

34 → 34

Iterations

Useful iterations: 2 (33.0ms)

Iter	Nodes	Cost
0	239	237
1	1022	208
2	5001	193

prune76.0ms

Filtered

34 candidates to 25 candidates (73.5%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	33	1	34
Fresh	1	1	2
Picked	0	1	1
Done	0	1	1
Total	34	4	38

Merged error: 0b

Counts

38 → 4

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (* 1.0 1.0) (+ (* z z) (* 1.0 z)))
0.0b	(+ (* z z) (* 1.0 z))
1.7b	(* (+ x y) (- (pow 1.0 3) (pow z 3)))
13.8b	(/ (* (+ x y) (- (pow 1.0 3) (pow z 3))) (+ (* 1.0 1.0) (+ (* z z) (* 1.0 z))))

rewrite31.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 44

Calls

4 calls:

7.0ms	(+ (* 1.0 1.0) (+ (* z z) (* 1.0 z)))
4.0ms	(+ (* z z) (* 1.0 z))
6.0ms	(* (+ x y) (- (pow 1.0 3) (pow z 3)))
12.0ms	(/ (* (+ x y) (- (pow 1.0 3) (pow z 3))) (+ (* 1.0 1.0) (+ (* z z) (* 1.0 z))))

series440.0ms

Counts

4 → 12

Calls

4 calls:

20.0ms	(+ (* 1.0 1.0) (+ (* z z) (* 1.0 z)))
184.0ms	(+ (* z z) (* 1.0 z))
102.0ms	(* (+ x y) (- (pow 1.0 3) (pow z 3)))
134.0ms	(/ (* (+ x y) (- (pow 1.0 3) (pow z 3))) (+ (* 1.0 1.0) (+ (* z z) (* 1.0 z))))

simplify55.0ms

Algorithm

egg-herbie

Counts

56 → 56

Iterations

Useful iterations: 1 (11.0ms)

Iter	Nodes	Cost
0	401	429
1	1733	415
2	5002	415

prune176.0ms

Filtered

56 candidates to 43 candidates (76.8%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	56	0	56
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	56	4	60

Merged error: 0b

Counts

60 → 4

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (* 1.0 (+ x y)) (/ (* (- z) (- (* x x) (* y y))) (- x y)))
1.5b	(- (* x x) (* y y))
10.7b	(* (- z) (- (* x x) (* y y)))
18.6b	(/ (* (- z) (- (* x x) (* y y))) (- x y))

rewrite37.0ms

Algorithm

rewrite-expression-head

Rules

32×	`associate-*r/`
24×	`frac-add` `*-commutative`
21×	`associate-/l*`
20×	`difference-of-squares`
16×	`associate-r`
13×	`flip3-+` `flip-+`
7×	`flip--`
6×	`flip3--` `associate-/l/`
4×	`distribute-lft-neg-out` `distribute-rgt-in` `neg-mul-1` `associate-+l+` `distribute-lft-in` `associate-l`
3×	`+-commutative` `sub-neg` `frac-2neg` `distribute-frac-neg` `clear-num` `associate-/r/`
1×	`distribute-rgt-out` `unsub-neg` `div-inv`

Counts

4 → 70

Calls

4 calls:

14.0ms	(+ (* 1.0 (+ x y)) (/ (* (- z) (- (* x x) (* y y))) (- x y)))
4.0ms	(- (* x x) (* y y))
6.0ms	(* (- z) (- (* x x) (* y y)))
9.0ms	(/ (* (- z) (- (* x x) (* y y))) (- x y))

series252.0ms

Counts

4 → 12

Calls

4 calls:

73.0ms	(+ (* 1.0 (+ x y)) (/ (* (- z) (- (* x x) (* y y))) (- x y)))
32.0ms	(- (* x x) (* y y))
63.0ms	(* (- z) (- (* x x) (* y y)))
84.0ms	(/ (* (- z) (- (* x x) (* y y))) (- x y))

simplify114.0ms

Algorithm

egg-herbie

Counts

82 → 82

Iterations

Useful iterations: 2 (104.0ms)

Iter	Nodes	Cost
0	521	893
1	3254	843
2	5001	828

prune174.0ms

Filtered

82 candidates to 54 candidates (65.9%)

Pruning

4 alts after pruning (0 fresh and 4 done)

	Pruned	Kept	Total
New	82	0	82
Fresh	0	0	0
Picked	0	1	1
Done	0	3	3
Total	82	4	86

Merged error: 0b

Counts

86 → 4

regimes109.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	6
1	19	6
2	24	6
3	24	6

end0.0ms

sample385.0ms

Algorithm

intervals

Results

188.0ms	10071×	body	80	valid
0.0ms	2×	body	640	valid