Details

sample10.0ms

Algorithm

intervals

Results

3.0ms

256×

body

valid

simplify9.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	7	2
1	10	2
2	12	2
3	13	2
4	13	2

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: 0.0b

Counts

2 → 1

localize3.0ms

Local error

Found 1 expressions with local error:

0.0b	(+ (+ x y) x)

rewrite6.0ms

Algorithm

rewrite-expression-head

Rules

6×	`*-un-lft-identity` `add-log-exp`
3×	`sum-log` `distribute-lft-out`
1×	`pow1` `add-exp-log` `+-commutative` `add-sqr-sqrt` `add-cube-cbrt` `associate-+l+` `flip3-+` `add-cbrt-cube` `flip-+`

Counts

1 → 15

Calls

1 calls:

6.0ms

(+ (+ x y) x)

series23.0ms

Counts

1 → 3

Calls

1 calls:

23.0ms

(+ (+ x y) x)

simplify108.0ms

Algorithm

egg-herbie

Counts

18 → 18

Iterations

Useful iterations: 3 (32.0ms)

Iter	Nodes	Cost
0	82	65
1	241	60
2	854	58
3	4535	53
4	5002	53

prune29.0ms

Filtered

18 candidates to 10 candidates (55.6%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	16	2	18
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	16	3	19

Merged error: 0.0b

Counts

19 → 3

localize7.0ms

Local error

Found 4 expressions with local error:

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

rewrite35.0ms

Algorithm

rewrite-expression-head

Rules

74×	`*-un-lft-identity`
51×	`cbrt-prod`
33×	`distribute-lft-out`
23×	`add-sqr-sqrt`
18×	`cbrt-div`
15×	`add-cube-cbrt`
14×	`swap-sqr`
11×	`pow1`
9×	`flip3-+` `pow1/3` `flip-+`
8×	`associate-r` `associate-l`
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 → 105

Calls

4 calls:

16.0ms	(* (cbrt (+ (+ x y) x)) (cbrt (+ (+ x y) x)))
5.0ms	(cbrt (+ (+ x y) x))
5.0ms	(cbrt (+ (+ x y) x))
5.0ms	(cbrt (+ (+ x y) x))

series887.0ms

Counts

4 → 12

Calls

4 calls:

257.0ms	(* (cbrt (+ (+ x y) x)) (cbrt (+ (+ x y) x)))
206.0ms	(cbrt (+ (+ x y) x))
210.0ms	(cbrt (+ (+ x y) x))
214.0ms	(cbrt (+ (+ x y) x))

simplify47.0ms

Algorithm

egg-herbie

Counts

117 → 117

Iterations

Useful iterations: 2 (35.0ms)

Iter	Nodes	Cost
0	280	982
1	1048	931
2	5001	832

prune240.0ms

Filtered

117 candidates to 75 candidates (64.1%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	116	1	117
Fresh	0	1	1
Picked	1	0	1
Done	0	1	1
Total	117	3	120

Merged error: 0b

Counts

120 → 3

localize12.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt (+ (+ x y) x))
0.5b	(cbrt (+ (+ x y) x))
0.5b	(cbrt (+ (+ x y) x))
0.5b	(cbrt (+ (+ x y) x))

rewrite23.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 60

Calls

4 calls:

6.0ms	(cbrt (+ (+ x y) x))
5.0ms	(cbrt (+ (+ x y) x))
5.0ms	(cbrt (+ (+ x y) x))
5.0ms	(cbrt (+ (+ x y) x))

series867.0ms

Counts

4 → 12

Calls

4 calls:

222.0ms	(cbrt (+ (+ x y) x))
214.0ms	(cbrt (+ (+ x y) x))
212.0ms	(cbrt (+ (+ x y) x))
219.0ms	(cbrt (+ (+ x y) x))

simplify50.0ms

Algorithm

egg-herbie

Counts

72 → 72

Iterations

Useful iterations: 3 (42.0ms)

Iter	Nodes	Cost
0	148	492
1	405	464
2	1567	452
3	5001	436

prune239.0ms

Filtered

72 candidates to 60 candidates (83.3%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	72	0	72
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	72	3	75

Merged error: 0b

Counts

75 → 3

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b	(pow (+ x y) 3)
1.2b	(+ (* y (+ x y)) (* x x))
2.1b	(+ (pow (+ x y) 3) (pow x 3))
42.2b	(/ (+ (pow (+ x y) 3) (pow x 3)) (+ (* y (+ x y)) (* x x)))

rewrite58.0ms

Algorithm

rewrite-expression-head

Rules

139×	`*-un-lft-identity`
67×	`distribute-lft-out`
44×	`unpow-prod-down` `cube-prod`
39×	`times-frac`
25×	`add-sqr-sqrt` `add-cube-cbrt`
13×	`associate-/l*`
8×	`add-log-exp`
7×	`add-exp-log` `add-cbrt-cube`
5×	`pow1` `flip3-+` `sum-cubes` `flip-+`
3×	`pow-unpow` `associate-/r*`
2×	`+-commutative` `cube-div` `associate-+l+` `sum-log` `associate-/r/` `associate-/l/`
1×	`cbrt-undiv` `distribute-rgt-in` `cube-mult` `pow-to-exp` `pow-pow` `frac-2neg` `distribute-lft-in` `unpow3` `div-exp` `pow-exp` `clear-num` `div-inv` `rem-cube-cbrt` `sqr-pow`

Counts

4 → 132

Calls

4 calls:

5.0ms	(pow (+ x y) 3)
6.0ms	(+ (* y (+ x y)) (* x x))
14.0ms	(+ (pow (+ x y) 3) (pow x 3))
27.0ms	(/ (+ (pow (+ x y) 3) (pow x 3)) (+ (* y (+ x y)) (* x x)))

series244.0ms

Counts

4 → 12

Calls

4 calls:

37.0ms	(pow (+ x y) 3)
19.0ms	(+ (* y (+ x y)) (* x x))
59.0ms	(+ (pow (+ x y) 3) (pow x 3))
129.0ms	(/ (+ (pow (+ x y) 3) (pow x 3)) (+ (* y (+ x y)) (* x x)))

simplify81.0ms

Algorithm

egg-herbie

Counts

144 → 144

Iterations

Useful iterations: 2 (65.0ms)

Iter	Nodes	Cost
0	423	1416
1	2095	1342
2	5001	1334

prune262.0ms

Filtered

144 candidates to 75 candidates (52.1%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	144	0	144
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	144	3	147

Merged error: 0b

Counts

147 → 3

regimes52.0ms

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	6	2
1	6	2

end0.0ms

sample223.0ms

Algorithm

intervals

Results

105.0ms

8003×

body

valid