Details

sample21.0ms

Algorithm

intervals

Results

11.0ms

438×

body

valid

simplify8.0ms

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

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize9.0ms

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

series60.0ms

Counts

2 → 6

Calls

2 calls:

23.0ms	(+ (* y (+ (* x 2.0) y)) (* x x))
37.0ms	(* y (+ (* x 2.0) y))

simplify39.0ms

Algorithm

egg-herbie

Counts

41 → 41

Iterations

Useful iterations: 1 (8.0ms)

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

prune71.0ms

Filtered

41 candidates to 28 candidates (68.3%)

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize11.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (* y (+ (* x 2.0) y))) (cbrt (* y (+ (* x 2.0) y))))
11.1b	(cbrt (* y (+ (* x 2.0) y)))
11.1b	(cbrt (* y (+ (* x 2.0) y)))
11.1b	(cbrt (* y (+ (* x 2.0) y)))

rewrite27.0ms

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)))

series960.0ms

Counts

4 → 12

Calls

4 calls:

237.0ms	(* (cbrt (* y (+ (* x 2.0) y))) (cbrt (* y (+ (* x 2.0) y))))
235.0ms	(cbrt (* y (+ (* x 2.0) y)))
246.0ms	(cbrt (* y (+ (* x 2.0) y)))
241.0ms	(cbrt (* y (+ (* x 2.0) y)))

simplify62.0ms

Algorithm

egg-herbie

Counts

84 → 84

Iterations

Useful iterations: 3 (54.0ms)

Iter	Nodes	Cost
0	214	694
1	675	629
2	2431	588
3	5001	573

prune219.0ms

Filtered

84 candidates to 67 candidates (79.8%)

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize11.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (+ (* y (+ (* x 2.0) y)) (* x x))) (cbrt (+ (* y (+ (* x 2.0) y)) (* x x))))
8.5b	(cbrt (+ (* y (+ (* x 2.0) y)) (* x x)))
8.5b	(cbrt (+ (* y (+ (* x 2.0) y)) (* x x)))
8.5b	(cbrt (+ (* y (+ (* x 2.0) y)) (* x x)))

rewrite57.0ms

Algorithm

rewrite-expression-head

Rules

25×	`cbrt-prod`
23×	`add-sqr-sqrt`
18×	`cbrt-div`
15×	`add-cube-cbrt` `*-un-lft-identity`
11×	`pow1`
9×	`flip3-+` `pow1/3` `flip-+`
6×	`add-exp-log` `swap-sqr` `associate-r` `associate-l`
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 → 87

Calls

4 calls:

41.0ms	(* (cbrt (+ (* y (+ (* x 2.0) y)) (* x x))) (cbrt (+ (* y (+ (* x 2.0) y)) (* x x))))
5.0ms	(cbrt (+ (* y (+ (* x 2.0) y)) (* x x)))
5.0ms	(cbrt (+ (* y (+ (* x 2.0) y)) (* x x)))
5.0ms	(cbrt (+ (* y (+ (* x 2.0) y)) (* x x)))

series540.0ms

Counts

4 → 12

Calls

4 calls:

140.0ms	(* (cbrt (+ (* y (+ (* x 2.0) y)) (* x x))) (cbrt (+ (* y (+ (* x 2.0) y)) (* x x))))
138.0ms	(cbrt (+ (* y (+ (* x 2.0) y)) (* x x)))
131.0ms	(cbrt (+ (* y (+ (* x 2.0) y)) (* x x)))
131.0ms	(cbrt (+ (* y (+ (* x 2.0) y)) (* x x)))

simplify45.0ms

Algorithm

egg-herbie

Counts

99 → 99

Iterations

Useful iterations: 2 (32.0ms)

Iter	Nodes	Cost
0	264	1380
1	1055	1287
2	5002	1202

prune233.0ms

Filtered

99 candidates to 75 candidates (75.8%)

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

localize15.0ms

Local error

Found 4 expressions with local error:

8.5b	(cbrt (+ (* y (+ (* x 2.0) y)) (* x x)))
8.5b	(cbrt (+ (* y (+ (* x 2.0) y)) (* x x)))
8.5b	(cbrt (+ (* y (+ (* x 2.0) y)) (* x x)))
8.5b	(cbrt (+ (* y (+ (* x 2.0) y)) (* x x)))

rewrite21.0ms

Algorithm

rewrite-expression-head

Rules

12×	`cbrt-prod`
8×	`add-sqr-sqrt` `add-cube-cbrt` `cbrt-div` `*-un-lft-identity`
4×	`pow1` `add-exp-log` `flip3-+` `pow1/3` `add-cbrt-cube` `flip-+` `add-log-exp`

Counts

4 → 52

Calls

4 calls:

7.0ms	(cbrt (+ (* y (+ (* x 2.0) y)) (* x x)))
5.0ms	(cbrt (+ (* y (+ (* x 2.0) y)) (* x x)))
5.0ms	(cbrt (+ (* y (+ (* x 2.0) y)) (* x x)))
5.0ms	(cbrt (+ (* y (+ (* x 2.0) y)) (* x x)))

series541.0ms

Counts

4 → 12

Calls

4 calls:

138.0ms	(cbrt (+ (* y (+ (* x 2.0) y)) (* x x)))
142.0ms	(cbrt (+ (* y (+ (* x 2.0) y)) (* x x)))
130.0ms	(cbrt (+ (* y (+ (* x 2.0) y)) (* x x)))
130.0ms	(cbrt (+ (* y (+ (* x 2.0) y)) (* x x)))

simplify80.0ms

Algorithm

egg-herbie

Counts

64 → 64

Iterations

Useful iterations: 2 (19.0ms)

Iter	Nodes	Cost
0	149	692
1	501	640
2	2386	632
3	5001	632

prune236.0ms

Filtered

64 candidates to 60 candidates (93.8%)

Pruning

4 alts after pruning (0 fresh and 4 done)

Merged error: 0b

regimes39.0ms

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

sample585.0ms

Algorithm

intervals

Results

371.0ms

14290×

body

valid