Details

sample23.0ms

Algorithm

intervals

Results

12.0ms

466×

body

valid

simplify9.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 1 (4.0ms)

Iter	Nodes	Cost
0	17	6
1	37	5
2	46	5
3	46	5

prune5.0ms

Filtered

1 candidates to 1 candidates (100.0%)

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 → 2

localize9.0ms

Local error

Found 2 expressions with local error:

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

rewrite14.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 35

Calls

2 calls:

6.0ms	(* y (+ (* x 2.0) y))
7.0ms	(+ (* y (+ (* x 2.0) y)) (* x x))

series62.0ms

Counts

2 → 6

Calls

2 calls:

37.0ms	(* y (+ (* x 2.0) y))
25.0ms	(+ (* y (+ (* x 2.0) y)) (* x x))

simplify41.0ms

Algorithm

egg-herbie

Counts

41 → 41

Iterations

Useful iterations: 1 (9.0ms)

Iter	Nodes	Cost
0	222	234
1	1115	217
2	5002	217

prune62.0ms

Filtered

41 candidates to 28 candidates (68.3%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	39	2	41
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	39	4	43

Merged error: 0b

Counts

43 → 4

localize11.0ms

Local error

Found 2 expressions with local error:

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

rewrite10.0ms

Algorithm

rewrite-expression-head

Rules

9×	`add-log-exp`
4×	`sum-log`
2×	`pow1` `add-exp-log` `+-commutative` `add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity` `flip3-+` `add-cbrt-cube` `flip-+`
1×	`associate-+l+`

Counts

2 → 24

Calls

2 calls:

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

series62.0ms

Counts

2 → 6

Calls

2 calls:

23.0ms	(+ (+ (* x x) (* (* x 2.0) y)) (* y y))
39.0ms	(+ (* x x) (* (* x 2.0) y))

simplify158.0ms

Algorithm

egg-herbie

Counts

30 → 30

Iterations

Useful iterations: 2 (31.0ms)

Iter	Nodes	Cost
0	191	234
1	998	212
2	4902	196
3	5002	196

prune54.0ms

Filtered

30 candidates to 23 candidates (76.7%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	28	2	30
Fresh	2	0	2
Picked	1	0	1
Done	0	1	1
Total	31	3	34

Merged error: 0b

Counts

34 → 3

localize7.0ms

Local error

Found 2 expressions with local error:

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

rewrite15.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 35

Calls

2 calls:

7.0ms	(+ (* x (+ (* 2.0 y) x)) (* y y))
7.0ms	(* x (+ (* 2.0 y) x))

series64.0ms

Counts

2 → 6

Calls

2 calls:

23.0ms	(+ (* x (+ (* 2.0 y) x)) (* y y))
41.0ms	(* x (+ (* 2.0 y) x))

simplify40.0ms

Algorithm

egg-herbie

Counts

41 → 41

Iterations

Useful iterations: 1 (10.0ms)

Iter	Nodes	Cost
0	225	237
1	1110	217
2	5001	217

prune60.0ms

Filtered

41 candidates to 29 candidates (70.7%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	40	1	41
Fresh	1	0	1
Picked	0	1	1
Done	0	1	1
Total	41	3	44

Merged error: 0b

Counts

44 → 3

localize11.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (* x (+ (* 2.0 y) x))) (cbrt (* x (+ (* 2.0 y) x))))
11.2b	(cbrt (* x (+ (* 2.0 y) x)))
11.2b	(cbrt (* x (+ (* 2.0 y) x)))
11.2b	(cbrt (* x (+ (* 2.0 y) x)))

rewrite28.0ms

Algorithm

rewrite-expression-head

Rules

20×	`associate-*r/`
18×	`cbrt-div`
11×	`pow1`
10×	`add-sqr-sqrt`
9×	`flip3-+` `pow1/3` `flip-+`
8×	`add-cube-cbrt` `*-un-lft-identity`
7×	`cbrt-prod`
6×	`add-exp-log`
4×	`frac-times` `swap-sqr` `associate-r` `associate-l` `add-cbrt-cube` `add-log-exp`
2×	`pow-prod-down` `associate-*l/` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

4 → 72

Calls

4 calls:

8.0ms	(* (cbrt (* x (+ (* 2.0 y) x))) (cbrt (* x (+ (* 2.0 y) x))))
5.0ms	(cbrt (* x (+ (* 2.0 y) x)))
5.0ms	(cbrt (* x (+ (* 2.0 y) x)))
5.0ms	(cbrt (* x (+ (* 2.0 y) x)))

series953.0ms

Counts

4 → 12

Calls

4 calls:

236.0ms	(* (cbrt (* x (+ (* 2.0 y) x))) (cbrt (* x (+ (* 2.0 y) x))))
241.0ms	(cbrt (* x (+ (* 2.0 y) x)))
239.0ms	(cbrt (* x (+ (* 2.0 y) x)))
236.0ms	(cbrt (* x (+ (* 2.0 y) x)))

simplify64.0ms

Algorithm

egg-herbie

Counts

84 → 84

Iterations

Useful iterations: 3 (56.0ms)

Iter	Nodes	Cost
0	214	694
1	675	629
2	2431	588
3	5002	573

prune183.0ms

Filtered

84 candidates to 67 candidates (79.8%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	84	0	84
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	84	3	87

Merged error: 0b

Counts

87 → 3

regimes25.0ms

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	12	5
1	12	5

end0.0ms

sample592.0ms

Algorithm

intervals

Results

368.0ms

14036×

body

valid