Details

sample26.0ms

Algorithm

intervals

Results

15.0ms

472×

body

valid

simplify11.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 1 (5.0ms)

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

localize8.0ms

Local error

Found 2 expressions with local error:

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

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

series69.0ms

Counts

2 → 6

Calls

2 calls:

44.0ms	(+ (* x x) (* (* x 2.0) y))
25.0ms	(+ (+ (* x x) (* (* x 2.0) y)) (* y y))

simplify169.0ms

Algorithm

egg-herbie

Counts

30 → 30

Iterations

Useful iterations: 2 (35.0ms)

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

prune61.0ms

Filtered

30 candidates to 23 candidates (76.7%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	29	1	30
Fresh	1	0	1
Picked	0	1	1
Done	0	0	0
Total	30	2	32

Merged error: 0b

Counts

32 → 2

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (+ (* x x) (* (* x 2.0) y)) (* y y))
0.0b	(* (sqrt (+ (+ (* x x) (* (* x 2.0) y)) (* y y))) (sqrt (+ (+ (* x x) (* (* x 2.0) y)) (* y y))))
7.2b	(sqrt (+ (+ (* x x) (* (* x 2.0) y)) (* y y)))
7.2b	(sqrt (+ (+ (* x x) (* (* x 2.0) y)) (* y y)))

rewrite34.0ms

Algorithm

rewrite-expression-head

Rules

28×	`add-sqr-sqrt`
24×	`sqrt-prod`
21×	`pow1`
16×	`sqrt-div`
14×	`add-cube-cbrt` `*-un-lft-identity`
10×	`sqrt-pow1` `pow1/2`
9×	`flip3-+` `flip-+` `add-log-exp`
8×	`swap-sqr`
6×	`add-exp-log` `associate-r` `associate-l` `add-cbrt-cube`
5×	`pow-prod-up`
4×	`frac-times` `unswap-sqr`
3×	`pow-prod-down` `sum-log` `pow-sqr`
2×	`rem-sqrt-square` `associate-r/` `associate-l/`
1×	`+-commutative` `pow2` `associate-+l+` `pow-plus` `sqrt-unprod` `prod-exp` `rem-square-sqrt` `*-commutative` `cbrt-unprod`

Counts

4 → 100

Calls

4 calls:

6.0ms	(+ (+ (* x x) (* (* x 2.0) y)) (* y y))
14.0ms	(* (sqrt (+ (+ (* x x) (* (* x 2.0) y)) (* y y))) (sqrt (+ (+ (* x x) (* (* x 2.0) y)) (* y y))))
5.0ms	(sqrt (+ (+ (* x x) (* (* x 2.0) y)) (* y y)))
5.0ms	(sqrt (+ (+ (* x x) (* (* x 2.0) y)) (* y y)))

series167.0ms

Counts

4 → 12

Calls

4 calls:

22.0ms	(+ (+ (* x x) (* (* x 2.0) y)) (* y y))
23.0ms	(* (sqrt (+ (+ (* x x) (* (* x 2.0) y)) (* y y))) (sqrt (+ (+ (* x x) (* (* x 2.0) y)) (* y y))))
62.0ms	(sqrt (+ (+ (* x x) (* (* x 2.0) y)) (* y y)))
59.0ms	(sqrt (+ (+ (* x x) (* (* x 2.0) y)) (* y y)))

simplify52.0ms

Algorithm

egg-herbie

Counts

112 → 112

Iterations

Useful iterations: 2 (37.0ms)

Iter	Nodes	Cost
0	234	1224
1	1051	1115
2	5002	1076

prune221.0ms

Filtered

112 candidates to 69 candidates (61.6%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	112	0	112
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	112	2	114

Merged error: 0b

Counts

114 → 2

regimes35.0ms

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	13	6
1	13	6

end0.0ms

sample683.0ms

Algorithm

intervals

Results

433.0ms

14375×

body

valid