Details

sample27.0ms

Algorithm

intervals

Results

12.0ms

362×

body

valid

simplify13.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	12	3
1	32	3
2	70	3
3	90	3
4	97	3
5	97	3

prune2.0ms

Filtered

1 candidates to 0 candidates (0.0%)

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: 0.1b

Counts

2 → 1

localize4.0ms

Local error

Found 1 expressions with local error:

0.1b	(* (* x y) (- 1.0 y))

rewrite8.0ms

Algorithm

rewrite-expression-head

Rules

6×	`pow1` `add-exp-log` `add-cbrt-cube`
5×	`associate-r`
4×	`add-sqr-sqrt` `*-un-lft-identity`
3×	`pow-prod-down` `prod-exp` `cbrt-unprod`
2×	`distribute-rgt-in` `add-cube-cbrt` `sub-neg` `distribute-lft-in` `associate-*r/`
1×	`flip3--` `associate-l` `*-commutative` `flip--` `distribute-lft-out--` `add-log-exp` `difference-of-squares`

Counts

1 → 26

Calls

1 calls:

7.0ms

(* (* x y) (- 1.0 y))

series51.0ms

Counts

1 → 3

Calls

1 calls:

51.0ms

(* (* x y) (- 1.0 y))

simplify29.0ms

Algorithm

egg-herbie

Counts

29 → 29

Iterations

Useful iterations: 1 (6.0ms)

Iter	Nodes	Cost
0	167	140
1	840	114
2	5002	114

prune43.0ms

Filtered

29 candidates to 15 candidates (51.7%)

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	21	8	29
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	22	8	30

Merged error: 0.0b

Counts

30 → 8

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (* (* x y) 1.0) (* (* x y) (- y)))
0.2b	(* (* x y) (- y))

rewrite12.0ms

Algorithm

rewrite-expression-head

Rules

10×	`associate-r`
7×	`pow1` `add-exp-log` `add-cbrt-cube`
5×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
4×	`add-log-exp`
3×	`distribute-lft-neg-in` `distribute-rgt-neg-in` `pow-prod-down` `prod-exp` `distribute-rgt-neg-out` `cbrt-unprod`
1×	`+-commutative` `neg-mul-1` `flip3-+` `associate-l` `unsub-neg` `sum-log` `*-commutative` `flip-+` `distribute-lft-out`

Counts

2 → 40

Calls

2 calls:

5.0ms	(+ (* (* x y) 1.0) (* (* x y) (- y)))
6.0ms	(* (* x y) (- y))

series108.0ms

Counts

2 → 6

Calls

2 calls:

76.0ms	(+ (* (* x y) 1.0) (* (* x y) (- y)))
31.0ms	(* (* x y) (- y))

simplify56.0ms

Algorithm

egg-herbie

Counts

46 → 46

Iterations

Useful iterations: 2 (52.0ms)

Iter	Nodes	Cost
0	242	241
1	1458	200
2	5002	195

prune69.0ms

Filtered

46 candidates to 31 candidates (67.4%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	45	1	46
Fresh	1	6	7
Picked	0	1	1
Done	0	0	0
Total	46	8	54

Merged error: 0.0b

Counts

54 → 8

localize8.0ms

Local error

Found 4 expressions with local error:

0.2b	(cbrt (- 1.0 y))
0.2b	(cbrt (- 1.0 y))
0.2b	(cbrt (- 1.0 y))
0.2b	(* (cbrt (- 1.0 y)) (cbrt (- 1.0 y)))

rewrite22.0ms

Algorithm

rewrite-expression-head

Rules

43×	`cbrt-prod`
37×	`add-sqr-sqrt`
35×	`*-un-lft-identity`
18×	`cbrt-div`
15×	`add-cube-cbrt`
11×	`pow1`
10×	`swap-sqr`
9×	`flip3--` `pow1/3` `flip--` `distribute-lft-out--`
8×	`associate-r` `associate-l`
7×	`difference-of-squares`
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 → 101

Calls

4 calls:

3.0ms	(cbrt (- 1.0 y))
3.0ms	(cbrt (- 1.0 y))
3.0ms	(cbrt (- 1.0 y))
10.0ms	(* (cbrt (- 1.0 y)) (cbrt (- 1.0 y)))

series382.0ms

Counts

4 → 12

Calls

4 calls:

90.0ms	(cbrt (- 1.0 y))
91.0ms	(cbrt (- 1.0 y))
93.0ms	(cbrt (- 1.0 y))
107.0ms	(* (cbrt (- 1.0 y)) (cbrt (- 1.0 y)))

simplify153.0ms

Algorithm

egg-herbie

Counts

113 → 113

Iterations

Useful iterations: 3 (140.0ms)

Iter	Nodes	Cost
0	316	847
1	1010	807
2	4442	753
3	5001	749

prune236.0ms

Filtered

113 candidates to 81 candidates (71.7%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	111	2	113
Fresh	1	5	6
Picked	1	0	1
Done	0	1	1
Total	113	8	121

Merged error: 0.0b

Counts

121 → 8

localize11.0ms

Local error

Found 4 expressions with local error:

0.2b	(cbrt (- 1.0 y))
0.2b	(cbrt (- 1.0 y))
0.2b	(cbrt (- 1.0 y))
0.4b	(pow (cbrt (cbrt (- 1.0 y))) 5)

rewrite16.0ms

Algorithm

rewrite-expression-head

Rules

28×	`cbrt-prod`
19×	`add-sqr-sqrt` `*-un-lft-identity`
11×	`add-cube-cbrt` `unpow-prod-down`
6×	`cbrt-div`
5×	`pow1` `add-exp-log`
4×	`pow1/3` `add-cbrt-cube` `distribute-lft-out--` `add-log-exp` `difference-of-squares`
3×	`pow-unpow` `flip3--` `flip--`
2×	`pow-pow`
1×	`pow-to-exp` `pow-exp` `sqr-pow`

Counts

4 → 71

Calls

4 calls:

3.0ms	(cbrt (- 1.0 y))
3.0ms	(cbrt (- 1.0 y))
3.0ms	(cbrt (- 1.0 y))
6.0ms	(pow (cbrt (cbrt (- 1.0 y))) 5)

series446.0ms

Counts

4 → 12

Calls

4 calls:

91.0ms	(cbrt (- 1.0 y))
88.0ms	(cbrt (- 1.0 y))
87.0ms	(cbrt (- 1.0 y))
180.0ms	(pow (cbrt (cbrt (- 1.0 y))) 5)

simplify115.0ms

Algorithm

egg-herbie

Counts

83 → 83

Iterations

Useful iterations: 3 (107.0ms)

Iter	Nodes	Cost
0	372	634
1	1129	601
2	3943	590
3	5001	576

prune241.0ms

Filtered

83 candidates to 66 candidates (79.5%)

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	83	0	83
Fresh	0	6	6
Picked	0	1	1
Done	0	1	1
Total	83	8	91

Merged error: 0.0b

Counts

91 → 8

regimes53.0ms

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	6
1	18	6
2	24	6
3	24	6

end0.0ms

sample358.0ms

Algorithm

intervals

Results

194.0ms

10575×

body

valid