Details

sample15.0ms

Algorithm

intervals

Results

7.0ms

350×

body

valid

simplify9.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	18	3
1	36	3
2	58	3
3	60	3
4	60	3

prune4.0ms

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: 0.0b

Counts

2 → 1

localize5.0ms

Local error

Found 2 expressions with local error:

0.0b	(* 2.0 (+ (* x x) (* x y)))
0.0b	(+ (* x x) (* x y))

rewrite10.0ms

Algorithm

rewrite-expression-head

Rules

6×	`add-sqr-sqrt`
4×	`pow1` `add-exp-log` `add-cube-cbrt` `-un-lft-identity` `associate-r*` `add-cbrt-cube` `add-log-exp`
3×	`associate-l`
2×	`flip3-+` `associate-*r/` `flip-+` `distribute-lft-out`
1×	`+-commutative` `distribute-rgt-in` `distribute-lft-in` `pow-prod-down` `prod-exp` `sum-log` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

2 → 35

Calls

2 calls:

6.0ms	(* 2.0 (+ (* x x) (* x y)))
4.0ms	(+ (* x x) (* x y))

series75.0ms

Counts

2 → 6

Calls

2 calls:

42.0ms	(* 2.0 (+ (* x x) (* x y)))
33.0ms	(+ (* x x) (* x y))

simplify35.0ms

Algorithm

egg-herbie

Counts

41 → 41

Iterations

Useful iterations: 2 (30.0ms)

Iter	Nodes	Cost
0	189	212
1	950	181
2	5002	176

prune61.0ms

Filtered

41 candidates to 31 candidates (75.6%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	39	2	41
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	39	3	42

Merged error: 0.0b

Counts

42 → 3

localize5.0ms

Local error

Found 1 expressions with local error:

0.0b	(* (* 2.0 x) (+ x y))

rewrite8.0ms

Algorithm

rewrite-expression-head

Rules

6×	`pow1` `add-exp-log` `add-cbrt-cube`
4×	`-un-lft-identity` `associate-r*`
3×	`pow-prod-down` `prod-exp` `cbrt-unprod`
2×	`add-sqr-sqrt` `add-cube-cbrt` `associate-*r/`
1×	`distribute-rgt-in` `distribute-lft-in` `flip3-+` `associate-l` `*-commutative` `flip-+` `distribute-lft-out` `add-log-exp`

Counts

1 → 23

Calls

1 calls:

7.0ms

(* (* 2.0 x) (+ x y))

series45.0ms

Counts

1 → 3

Calls

1 calls:

45.0ms

(* (* 2.0 x) (+ x y))

simplify33.0ms

Algorithm

egg-herbie

Counts

26 → 26

Iterations

Useful iterations: 1 (7.0ms)

Iter	Nodes	Cost
0	166	117
1	915	97
2	5001	97

prune25.0ms

Filtered

26 candidates to 14 candidates (53.8%)

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

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b	(* 2.0 (/ (* (pow x 2) (- (pow x 2) (* y y))) (* x (- x y))))
0.0b	(* x (- x y))
10.2b	(* (pow x 2) (- (pow x 2) (* y y)))
27.2b	(/ (* (pow x 2) (- (pow x 2) (* y y))) (* x (- x y)))

rewrite51.0ms

Algorithm

rewrite-expression-head

Rules

69×	`add-exp-log`
38×	`add-cbrt-cube`
33×	`prod-exp`
25×	`add-sqr-sqrt`
19×	`associate-r`
16×	`div-exp`
15×	`cbrt-unprod`
14×	`associate-l`
13×	`*-un-lft-identity`
11×	`add-cube-cbrt` `associate-*r/`
8×	`pow1` `cbrt-undiv`
6×	`unswap-sqr`
5×	`pow-to-exp` `unpow-prod-down` `flip3--` `pow-exp` `flip--` `difference-of-squares`
4×	`distribute-rgt-in` `sub-neg` `distribute-lft-in` `associate-/r/` `add-log-exp`
3×	`*-commutative` `unpow2` `sqr-pow`
2×	`times-frac` `pow-prod-down` `div-inv` `associate-/l/`
1×	`frac-2neg` `clear-num` `associate-/r` `associate-/l` `distribute-lft-out--`

Counts

4 → 127

Calls

4 calls:

14.0ms	(* 2.0 (/ (* (pow x 2) (- (pow x 2) (* y y))) (* x (- x y))))
6.0ms	(* x (- x y))
13.0ms	(* (pow x 2) (- (pow x 2) (* y y)))
13.0ms	(/ (* (pow x 2) (- (pow x 2) (* y y))) (* x (- x y)))

series251.0ms

Counts

4 → 12

Calls

4 calls:

83.0ms	(* 2.0 (/ (* (pow x 2) (- (pow x 2) (* y y))) (* x (- x y))))
39.0ms	(* x (- x y))
53.0ms	(* (pow x 2) (- (pow x 2) (* y y)))
76.0ms	(/ (* (pow x 2) (- (pow x 2) (* y y))) (* x (- x y)))

simplify105.0ms

Algorithm

egg-herbie

Counts

139 → 139

Iterations

Useful iterations: 1 (17.0ms)

Iter	Nodes	Cost
0	544	1174
1	3415	929
2	5001	929

prune197.0ms

Filtered

139 candidates to 79 candidates (56.8%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	138	1	139
Fresh	0	0	0
Picked	1	0	1
Done	0	2	2
Total	139	3	142

Merged error: 0b

Counts

142 → 3

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b	(* x (- x y))
2.5b	(* x (* (- (pow x 2) (* y y)) x))
6.2b	(* (- (pow x 2) (* y y)) x)
27.2b	(/ (* x (* (- (pow x 2) (* y y)) x)) (* x (- x y)))

rewrite39.0ms

Algorithm

rewrite-expression-head

Rules

34×	`add-exp-log` `add-cbrt-cube`
17×	`add-sqr-sqrt`
14×	`prod-exp` `cbrt-unprod`
13×	`pow1` `associate-l`
11×	`*-un-lft-identity`
9×	`add-cube-cbrt` `associate-r`
8×	`associate-*r/`
6×	`cbrt-undiv` `div-exp` `associate-*l/`
5×	`flip3--` `pow-prod-down` `flip--` `difference-of-squares`
4×	`add-log-exp`
3×	`*-commutative`
2×	`distribute-rgt-in` `sub-neg` `distribute-lft-in` `associate-/r/` `associate-/l/` `unswap-sqr`
1×	`unpow-prod-down` `frac-2neg` `times-frac` `clear-num` `associate-/r` `div-inv` `associate-/l` `distribute-lft-out--` `unpow2` `sqr-pow`

Counts

4 → 99

Calls

4 calls:

6.0ms	(* x (- x y))
8.0ms	(* x (* (- (pow x 2) (* y y)) x))
7.0ms	(* (- (pow x 2) (* y y)) x)
14.0ms	(/ (* x (* (- (pow x 2) (* y y)) x)) (* x (- x y)))

series219.0ms

Counts

4 → 12

Calls

4 calls:

40.0ms	(* x (- x y))
52.0ms	(* x (* (- (pow x 2) (* y y)) x))
52.0ms	(* (- (pow x 2) (* y y)) x)
74.0ms	(/ (* x (* (- (pow x 2) (* y y)) x)) (* x (- x y)))

simplify115.0ms

Algorithm

egg-herbie

Counts

111 → 111

Iterations

Useful iterations: 2 (106.0ms)

Iter	Nodes	Cost
0	448	793
1	3219	583
2	5001	567

prune179.0ms

Filtered

111 candidates to 70 candidates (63.1%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	111	0	111
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	111	3	114

Merged error: 0b

Counts

114 → 3

regimes56.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	4
1	10	4

end0.0ms

sample392.0ms

Algorithm

intervals

Results

231.0ms

11027×

body

valid