Details

sample21.0ms

Algorithm

intervals

Results

11.0ms

456×

body

valid

simplify7.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 1 (3.0ms)

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

prune4.0ms

Filtered

1 candidates to 1 candidates (100.0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize7.0ms

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))

rewrite14.0ms

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:

11.0ms	(+ (+ (* x x) (* (* x 2.0) y)) (* y y))
3.0ms	(+ (* x x) (* (* x 2.0) y))

series64.0ms

Counts

2 → 6

Calls

2 calls:

22.0ms	(+ (+ (* x x) (* (* x 2.0) y)) (* y y))
42.0ms	(+ (* x x) (* (* x 2.0) y))

simplify151.0ms

Algorithm

egg-herbie

Counts

30 → 30

Iterations

Useful iterations: 2 (27.0ms)

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

prune67.0ms

Filtered

30 candidates to 23 candidates (76.7%)

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize6.0ms

Local error

Found 2 expressions with local error:

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

rewrite18.0ms

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:

12.0ms	(* y (+ (* x 2.0) y))
5.0ms	(+ (* y (+ (* x 2.0) y)) (* x x))

series60.0ms

Counts

2 → 6

Calls

2 calls:

36.0ms	(* y (+ (* x 2.0) y))
23.0ms	(+ (* y (+ (* x 2.0) y)) (* x x))

simplify35.0ms

Algorithm

egg-herbie

Counts

41 → 41

Iterations

Useful iterations: 1 (7.0ms)

Iter	Nodes	Cost
0	222	234
1	1119	217
2	5001	217

prune68.0ms

Filtered

41 candidates to 28 candidates (68.3%)

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize10.0ms

Local error

Found 4 expressions with local error:

0.6b	(* (cbrt (* y (+ (* x 2.0) y))) (cbrt (* y (+ (* x 2.0) y))))
10.5b	(cbrt (* y (+ (* x 2.0) y)))
10.5b	(cbrt (* y (+ (* x 2.0) y)))
10.5b	(cbrt (* y (+ (* x 2.0) y)))

rewrite25.0ms

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:

11.0ms	(* (cbrt (* y (+ (* x 2.0) y))) (cbrt (* y (+ (* x 2.0) y))))
4.0ms	(cbrt (* y (+ (* x 2.0) y)))
4.0ms	(cbrt (* y (+ (* x 2.0) y)))
4.0ms	(cbrt (* y (+ (* x 2.0) y)))

series977.0ms

Counts

4 → 12

Calls

4 calls:

239.0ms	(* (cbrt (* y (+ (* x 2.0) y))) (cbrt (* y (+ (* x 2.0) y))))
250.0ms	(cbrt (* y (+ (* x 2.0) y)))
247.0ms	(cbrt (* y (+ (* x 2.0) y)))
241.0ms	(cbrt (* y (+ (* x 2.0) y)))

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	5001	573

prune212.0ms

Filtered

84 candidates to 67 candidates (79.8%)

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes37.0ms

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

sample582.0ms

Algorithm

intervals

Results

376.0ms

14390×

body

valid