Details

sample16.0ms

Algorithm

intervals

Results

6.0ms

445×

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

localize6.0ms

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))

series15.0ms

Counts

1 → 3

Calls

1 calls:

15.0ms

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

simplify33.0ms

Algorithm

egg-herbie

Counts

43 → 43

Iterations

Useful iterations: 2 (29.0ms)

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

prune44.0ms

Filtered

43 candidates to 19 candidates (44.2%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	41	2	43
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	42	2	44

Merged error: 0.0b

Counts

44 → 2

localize5.0ms

Local error

Found 3 expressions with local error:

0.0b	(* y (+ x y))
0.0b	(+ (* x (+ x y)) (* y (+ x y)))
0.0b	(* x (+ 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	(* y (+ x y))
7.0ms	(+ (* x (+ x y)) (* y (+ x y)))
6.0ms	(* x (+ x y))

series80.0ms

Counts

3 → 9

Calls

3 calls:

32.0ms	(* y (+ x y))
22.0ms	(+ (* x (+ x y)) (* y (+ x y)))
26.0ms	(* x (+ x y))

simplify58.0ms

Algorithm

egg-herbie

Counts

75 → 75

Iterations

Useful iterations: 2 (52.0ms)

Iter	Nodes	Cost
0	349	386
1	1961	333
2	5001	331

prune99.0ms

Filtered

75 candidates to 50 candidates (66.7%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	74	1	75
Fresh	0	1	1
Picked	1	0	1
Done	0	0	0
Total	75	2	77

Merged error: 0b

Counts

77 → 2

localize11.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (+ (pow x 2) (* x y)) (* y (+ x y)))
0.0b	(* y (+ x y))
0.0b	(+ (pow x 2) (* x y))

rewrite19.0ms

Algorithm

rewrite-expression-head

Rules

10×	`add-log-exp`
7×	`add-sqr-sqrt` `*-un-lft-identity` `flip3-+` `flip-+`
6×	`associate-*r/`
5×	`pow1` `add-exp-log` `add-cube-cbrt` `add-cbrt-cube`
4×	`associate-r` `frac-add` `sum-log`
3×	`associate-l` `distribute-lft-out`
2×	`+-commutative` `distribute-rgt-in` `associate-+r+` `distribute-lft-in` `unpow2`
1×	`associate-+l+` `distribute-rgt-out` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

3 → 55

Calls

3 calls:

7.0ms	(+ (+ (pow x 2) (* x y)) (* y (+ x y)))
6.0ms	(* y (+ x y))
4.0ms	(+ (pow x 2) (* x y))

series81.0ms

Counts

3 → 9

Calls

3 calls:

26.0ms	(+ (+ (pow x 2) (* x y)) (* y (+ x y)))
26.0ms	(* y (+ x y))
29.0ms	(+ (pow x 2) (* x y))

simplify53.0ms

Algorithm

egg-herbie

Counts

64 → 64

Iterations

Useful iterations: 2 (47.0ms)

Iter	Nodes	Cost
0	347	431
1	1776	392
2	5001	362

prune127.0ms

Filtered

64 candidates to 44 candidates (68.8%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	64	0	64
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	64	2	66

Merged error: 0b

Counts

66 → 2

localize18.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (* y y) (* x y))
0.1b	(* (+ x y) (+ (pow x 3) (pow y 3)))
0.7b	(+ (pow x 3) (pow y 3))
29.4b	(/ (* (+ x y) (+ (pow x 3) (pow y 3))) (+ (* x x) (- (* y y) (* x y))))

rewrite55.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 96

Calls

4 calls:

3.0ms	(- (* y y) (* x y))
16.0ms	(* (+ x y) (+ (pow x 3) (pow y 3)))
10.0ms	(+ (pow x 3) (pow y 3))
21.0ms	(/ (* (+ x y) (+ (pow x 3) (pow y 3))) (+ (* x x) (- (* y y) (* x y))))

series195.0ms

Counts

4 → 12

Calls

4 calls:

31.0ms	(- (* y y) (* x y))
56.0ms	(* (+ x y) (+ (pow x 3) (pow y 3)))
47.0ms	(+ (pow x 3) (pow y 3))
60.0ms	(/ (* (+ x y) (+ (pow x 3) (pow y 3))) (+ (* x x) (- (* y y) (* x y))))

simplify88.0ms

Algorithm

egg-herbie

Counts

108 → 108

Iterations

Useful iterations: 2 (73.0ms)

Iter	Nodes	Cost
0	498	918
1	2828	803
2	5001	797

prune236.0ms

Filtered

108 candidates to 75 candidates (69.4%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	108	0	108
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	108	2	110

Merged error: 0b

Counts

110 → 2

regimes28.0ms

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	14	6
1	14	6

end0.0ms

sample416.0ms

Algorithm

intervals

Results

200.0ms

14056×

body

valid