Details

sample22.0ms

Algorithm

intervals

Results

12.0ms

443×

body

valid

simplify6.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	15	4
1	25	4
2	27	4
3	27	4

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

localize6.0ms

Local error

Found 2 expressions with local error:

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

rewrite9.0ms

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+` `distribute-lft-out`

Counts

2 → 25

Calls

2 calls:

3.0ms	(+ (* x 2.0) (* x x))
6.0ms	(+ (+ (* x 2.0) (* x x)) (* y y))

series85.0ms

Counts

2 → 6

Calls

2 calls:

52.0ms	(+ (* x 2.0) (* x x))
33.0ms	(+ (+ (* x 2.0) (* x x)) (* y y))

simplify97.0ms

Algorithm

egg-herbie

Counts

31 → 31

Iterations

Useful iterations: 2 (22.0ms)

Iter	Nodes	Cost
0	182	191
1	887	164
2	3634	160
3	5002	160

prune49.0ms

Filtered

31 candidates to 23 candidates (74.2%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	29	2	31
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	29	3	32

Merged error: 0b

Counts

32 → 3

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b	(sqrt (+ (+ (* x 2.0) (* x x)) (* y y)))
0.0b	(+ (+ (* x 2.0) (* x x)) (* y y))
0.0b	(+ (+ (* x 2.0) (* x x)) (* y y))
0.1b	(* (sqrt (+ (+ (* x 2.0) (* x x)) (* y y))) (sqrt (+ (+ (* x 2.0) (* x x)) (* y y))))

rewrite35.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 98

Calls

4 calls:

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

series202.0ms

Counts

4 → 12

Calls

4 calls:

110.0ms	(sqrt (+ (+ (* x 2.0) (* x x)) (* y y)))
32.0ms	(+ (+ (* x 2.0) (* x x)) (* y y))
29.0ms	(+ (+ (* x 2.0) (* x x)) (* y y))
31.0ms	(* (sqrt (+ (+ (* x 2.0) (* x x)) (* y y))) (sqrt (+ (+ (* x 2.0) (* x x)) (* y y))))

simplify46.0ms

Algorithm

egg-herbie

Counts

110 → 110

Iterations

Useful iterations: 2 (34.0ms)

Iter	Nodes	Cost
0	230	1042
1	1157	914
2	5001	888

prune178.0ms

Filtered

110 candidates to 65 candidates (59.1%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	110	0	110
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	110	3	113

Merged error: 0b

Counts

113 → 3

localize11.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (* x 2.0) (* x x))
0.0b	(+ (+ (* x 2.0) (* x x)) (* y y))
4.7b	(exp (log (+ (+ (* x 2.0) (* x x)) (* y y))))

rewrite16.0ms

Algorithm

rewrite-expression-head

Rules

10×	`add-log-exp`
5×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
4×	`pow1` `exp-prod` `sum-log`
3×	`add-exp-log` `log-prod` `flip3-+` `exp-sum` `add-cbrt-cube` `flip-+`
2×	`+-commutative` `log-div` `exp-diff`
1×	`associate-+l+` `log-pow` `rem-exp-log` `distribute-lft-out`

Counts

3 → 42

Calls

3 calls:

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

series115.0ms

Counts

3 → 9

Calls

3 calls:

52.0ms	(+ (* x 2.0) (* x x))
32.0ms	(+ (+ (* x 2.0) (* x x)) (* y y))
31.0ms	(exp (log (+ (+ (* x 2.0) (* x x)) (* y y))))

simplify101.0ms

Algorithm

egg-herbie

Counts

51 → 51

Iterations

Useful iterations: 3 (96.0ms)

Iter	Nodes	Cost
0	222	359
1	949	314
2	3729	295
3	5001	289

prune88.0ms

Filtered

51 candidates to 35 candidates (68.6%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	51	0	51
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	51	3	54

Merged error: 0b

Counts

54 → 3

regimes75.0ms

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	11	5
1	11	5

end0.0ms

sample614.0ms

Algorithm

intervals

Results

402.0ms

14279×

body

valid