Details

sample20.0ms

Algorithm

intervals

Results

11.0ms

435×

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

prune5.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize6.0ms

Local error

Found 2 expressions with local error:

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

rewrite17.0ms

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:

5.0ms	(+ (* y (+ (* x 2.0) y)) (* x x))
10.0ms	(* y (+ (* x 2.0) y))

series64.0ms

Counts

2 → 6

Calls

2 calls:

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

simplify36.0ms

Algorithm

egg-herbie

Counts

41 → 41

Iterations

Useful iterations: 1 (7.0ms)

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

prune72.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (* y (* x 2.0)) (pow y 2))
0.0b	(+ (+ (* y (* x 2.0)) (pow y 2)) (* x x))

rewrite53.0ms

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` `unpow2`

Counts

2 → 25

Calls

2 calls:

8.0ms	(+ (* y (* x 2.0)) (pow y 2))
44.0ms	(+ (+ (* y (* x 2.0)) (pow y 2)) (* x x))

series63.0ms

Counts

2 → 6

Calls

2 calls:

37.0ms	(+ (* y (* x 2.0)) (pow y 2))
26.0ms	(+ (+ (* y (* x 2.0)) (pow y 2)) (* x x))

simplify138.0ms

Algorithm

egg-herbie

Counts

31 → 31

Iterations

Useful iterations: 2 (26.0ms)

Iter	Nodes	Cost
0	180	240
1	892	220
2	4086	208
3	5001	208

prune65.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.0b

localize15.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (+ (* y (* x 2.0)) (pow y 2))) (cbrt (+ (* y (* x 2.0)) (pow y 2))))
8.3b	(cbrt (+ (* y (* x 2.0)) (pow y 2)))
8.3b	(cbrt (+ (* y (* x 2.0)) (pow y 2)))
8.3b	(cbrt (+ (* y (* x 2.0)) (pow y 2)))

rewrite87.0ms

Algorithm

rewrite-expression-head

Rules

32×	`cbrt-prod`
23×	`add-sqr-sqrt`
18×	`cbrt-div`
15×	`add-cube-cbrt` `*-un-lft-identity`
11×	`pow1`
9×	`flip3-+` `pow1/3` `flip-+`
7×	`swap-sqr` `associate-r` `associate-l` `distribute-lft-out` `unpow2`
6×	`add-exp-log`
4×	`frac-times` `add-cbrt-cube` `add-log-exp` `unswap-sqr`
2×	`associate-r/` `pow-prod-down` `associate-l/` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 93

Calls

4 calls:

62.0ms	(* (cbrt (+ (* y (* x 2.0)) (pow y 2))) (cbrt (+ (* y (* x 2.0)) (pow y 2))))
8.0ms	(cbrt (+ (* y (* x 2.0)) (pow y 2)))
7.0ms	(cbrt (+ (* y (* x 2.0)) (pow y 2)))
7.0ms	(cbrt (+ (* y (* x 2.0)) (pow y 2)))

series967.0ms

Counts

4 → 12

Calls

4 calls:

238.0ms	(* (cbrt (+ (* y (* x 2.0)) (pow y 2))) (cbrt (+ (* y (* x 2.0)) (pow y 2))))
244.0ms	(cbrt (+ (* y (* x 2.0)) (pow y 2)))
244.0ms	(cbrt (+ (* y (* x 2.0)) (pow y 2)))
241.0ms	(cbrt (+ (* y (* x 2.0)) (pow y 2)))

simplify135.0ms

Algorithm

egg-herbie

Counts

105 → 105

Iterations

Useful iterations: 3 (124.0ms)

Iter	Nodes	Cost
0	225	1206
1	810	1127
2	4022	1052
3	5001	1045

prune308.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0.0b

regimes29.0ms

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

sample591.0ms

Algorithm

intervals

Results

376.0ms

14253×

body

valid