Details

sample15.0ms

Algorithm

intervals

Results

7.0ms

443×

body

valid

simplify14.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	11	3
1	25	3
2	53	3
3	80	3
4	98	3
5	107	3
6	113	3
7	113	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: 0.0b

Counts

2 → 1

localize3.0ms

Local error

Found 1 expressions with local error:

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

rewrite9.0ms

Algorithm

rewrite-expression-head

Rules

19×	`*-un-lft-identity`
8×	`pow1`
7×	`add-sqr-sqrt`
6×	`flip3-+` `swap-sqr` `flip-+` `distribute-lft-out`
5×	`add-cube-cbrt`
4×	`frac-times` `associate-r` `associate-l`
3×	`add-exp-log` `add-cbrt-cube`
2×	`associate-r/` `associate-l/`
1×	`pow2` `distribute-rgt-in` `distribute-lft-in` `pow-plus` `pow-prod-down` `prod-exp` `pow-sqr` `*-commutative` `pow-prod-up` `cbrt-unprod` `add-log-exp` `unswap-sqr`

Counts

1 → 40

Calls

1 calls:

8.0ms

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

series14.0ms

Counts

1 → 3

Calls

1 calls:

14.0ms

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

simplify35.0ms

Algorithm

egg-herbie

Counts

43 → 43

Iterations

Useful iterations: 2 (31.0ms)

Iter	Nodes	Cost
0	189	213
1	901	188
2	5001	170

prune41.0ms

Filtered

43 candidates to 19 candidates (44.2%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	41	2	43
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	41	3	44

Merged error: 0b

Counts

44 → 3

localize5.0ms

Local error

Found 3 expressions with local error:

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

rewrite20.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 66

Calls

3 calls:

6.0ms	(* x (+ x y))
6.0ms	(* y (+ x y))
7.0ms	(+ (* x (+ x y)) (* y (+ x y)))

series75.0ms

Counts

3 → 9

Calls

3 calls:

25.0ms	(* x (+ x y))
25.0ms	(* y (+ x y))
24.0ms	(+ (* x (+ x y)) (* y (+ x y)))

simplify57.0ms

Algorithm

egg-herbie

Counts

75 → 75

Iterations

Useful iterations: 2 (51.0ms)

Iter	Nodes	Cost
0	349	386
1	1961	333
2	5003	331

prune90.0ms

Filtered

75 candidates to 49 candidates (65.3%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	75	0	75
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	75	3	78

Merged error: 0b

Counts

78 → 3

localize15.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (+ (* y (- y x)) (pow x 2)) (+ (pow x 2) (* y (- y x))))
0.5b	(+ (pow x 3) (pow y 3))
0.5b	(+ (pow x 3) (pow y 3))
41.4b	(/ (* (+ (pow x 3) (pow y 3)) (+ (pow x 3) (pow y 3))) (* (+ (* y (- y x)) (pow x 2)) (+ (pow x 2) (* y (- y x)))))

rewrite75.0ms

Algorithm

rewrite-expression-head

Rules

26×	`*-un-lft-identity`
20×	`flip3-+` `flip-+`
18×	`add-exp-log` `add-cbrt-cube`
12×	`frac-times`
10×	`distribute-lft-out`
8×	`add-sqr-sqrt` `unpow-prod-down` `cube-prod` `associate-/r/` `associate-/l/` `add-log-exp`
6×	`pow1` `add-cube-cbrt` `associate-r/` `associate-l/`
5×	`prod-exp` `cbrt-unprod`
4×	`cbrt-undiv` `div-exp`
3×	`associate-r` `associate-l`
2×	`+-commutative` `sum-log` `sum-cubes`
1×	`distribute-rgt-in` `frac-2neg` `distribute-lft-in` `times-frac` `pow-prod-down` `clear-num` `associate-/r` `-commutative` `div-inv` `associate-/l*` `unswap-sqr`

Counts

4 → 99

Calls

4 calls:

13.0ms	(* (+ (* y (- y x)) (pow x 2)) (+ (pow x 2) (* y (- y x))))
10.0ms	(+ (pow x 3) (pow y 3))
13.0ms	(+ (pow x 3) (pow y 3))
35.0ms	(/ (* (+ (pow x 3) (pow y 3)) (+ (pow x 3) (pow y 3))) (* (+ (* y (- y x)) (pow x 2)) (+ (pow x 2) (* y (- y x)))))

series196.0ms

Counts

4 → 12

Calls

4 calls:

49.0ms	(* (+ (* y (- y x)) (pow x 2)) (+ (pow x 2) (* y (- y x))))
47.0ms	(+ (pow x 3) (pow y 3))
45.0ms	(+ (pow x 3) (pow y 3))
54.0ms	(/ (* (+ (pow x 3) (pow y 3)) (+ (pow x 3) (pow y 3))) (* (+ (* y (- y x)) (pow x 2)) (+ (pow x 2) (* y (- y x)))))

simplify90.0ms

Algorithm

egg-herbie

Counts

111 → 111

Iterations

Useful iterations: 2 (76.0ms)

Iter	Nodes	Cost
0	583	1528
1	3218	1241
2	5002	1233

prune266.0ms

Filtered

111 candidates to 78 candidates (70.3%)

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

regimes54.0ms

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	5
1	10	5

end0.0ms

sample457.0ms

Algorithm

intervals

Results

239.0ms

14279×

body

valid