Details

sample18.0ms

Algorithm

intervals

Results

7.0ms	301×	body	80	valid
0.0ms	4×	body	640	valid
0.0ms	5×	body	320	valid
0.0ms	3×	body	160	valid
0.0ms	1×	body	1280	valid

simplify11.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 1 (4.0ms)

Iter	Nodes	Cost
0	18	4
1	34	3
2	52	3
3	60	3
4	60	3

prune5.0ms

Filtered

1 candidates to 1 candidates (100.0%)

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 → 2

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (+ (* d1 3.0) (* d1 d2)) (* d1 d3))
0.0b	(+ (* d1 3.0) (* d1 d2))

rewrite11.0ms

Algorithm

rewrite-expression-head

Rules

4×	`*-commutative` `distribute-lft-out`
3×	`+-commutative`
2×	`associate-+l+` `distribute-rgt-out` `flip3-+` `flip-+`

Counts

2 → 12

Calls

2 calls:

7.0ms	(+ (+ (* d1 3.0) (* d1 d2)) (* d1 d3))
4.0ms	(+ (* d1 3.0) (* d1 d2))

series80.0ms

Counts

2 → 6

Calls

2 calls:

37.0ms	(+ (+ (* d1 3.0) (* d1 d2)) (* d1 d3))
43.0ms	(+ (* d1 3.0) (* d1 d2))

simplify61.0ms

Algorithm

egg-herbie

Counts

18 → 18

Iterations

Useful iterations: 2 (17.0ms)

Iter	Nodes	Cost
0	132	88
1	468	77
2	1740	71
3	5001	71

prune29.0ms

Filtered

18 candidates to 10 candidates (55.6%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	17	1	18
Fresh	1	0	1
Picked	0	1	1
Done	0	0	0
Total	18	2	20

Merged error: 0.1b

Counts

20 → 2

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (* d1 (+ 3.0 d2)) (* d1 d3))
0.0b	(* d1 (+ 3.0 d2))

rewrite9.0ms

Algorithm

rewrite-expression-head

Rules

5×	`+-commutative`
4×	`distribute-rgt-in` `associate-+l+` `distribute-lft-in`
3×	`*-commutative`
2×	`flip3-+` `associate-*r/` `flip-+`
1×	`distribute-rgt-out` `distribute-lft-out`

Counts

2 → 16

Calls

2 calls:

5.0ms	(+ (* d1 (+ 3.0 d2)) (* d1 d3))
3.0ms	(* d1 (+ 3.0 d2))

series72.0ms

Counts

2 → 6

Calls

2 calls:

40.0ms	(+ (* d1 (+ 3.0 d2)) (* d1 d3))
32.0ms	(* d1 (+ 3.0 d2))

simplify50.0ms

Algorithm

egg-herbie

Counts

22 → 22

Iterations

Useful iterations: 2 (15.0ms)

Iter	Nodes	Cost
0	117	76
1	377	71
2	1599	69
3	5001	69

prune35.0ms

Filtered

22 candidates to 13 candidates (59.1%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	20	2	22
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	20	4	24

Merged error: 0.0b

Counts

24 → 4

localize14.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (/ (* d1 (- (* 3.0 3.0) (* d2 d2))) (- 3.0 d2)) (* d1 d3))
5.3b	(* d1 (- (* 3.0 3.0) (* d2 d2)))
11.1b	(/ (* d1 (- (* 3.0 3.0) (* d2 d2))) (- 3.0 d2))

rewrite27.0ms

Algorithm

rewrite-expression-head

Rules

10×	`*-commutative`
8×	`associate-r` `difference-of-squares`
6×	`associate-/l*`
4×	`associate-*r/`
3×	`flip3--` `flip--`
2×	`distribute-rgt-in` `sub-neg` `distribute-lft-in` `associate-/r/` `associate-/l/`
1×	`+-commutative` `frac-2neg` `flip3-+` `clear-num` `flip-+` `div-inv`

Counts

3 → 27

Calls

3 calls:

11.0ms	(+ (/ (* d1 (- (* 3.0 3.0) (* d2 d2))) (- 3.0 d2)) (* d1 d3))
6.0ms	(* d1 (- (* 3.0 3.0) (* d2 d2)))
8.0ms	(/ (* d1 (- (* 3.0 3.0) (* d2 d2))) (- 3.0 d2))

series233.0ms

Counts

3 → 9

Calls

3 calls:

85.0ms	(+ (/ (* d1 (- (* 3.0 3.0) (* d2 d2))) (- 3.0 d2)) (* d1 d3))
58.0ms	(* d1 (- (* 3.0 3.0) (* d2 d2)))
90.0ms	(/ (* d1 (- (* 3.0 3.0) (* d2 d2))) (- 3.0 d2))

simplify98.0ms

Algorithm

egg-herbie

Counts

36 → 36

Iterations

Useful iterations: 2 (23.0ms)

Iter	Nodes	Cost
0	230	185
1	746	172
2	2910	160
3	5001	160

prune70.0ms

Filtered

36 candidates to 22 candidates (61.1%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	35	1	36
Fresh	0	1	1
Picked	0	1	1
Done	1	1	2
Total	36	4	40

Merged error: 0.0b

Counts

40 → 4

localize17.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (/ (* d1 (+ (pow 3.0 3) (pow d2 3))) (+ (* 3.0 3.0) (- (* d2 d2) (* 3.0 d2)))) (* d1 d3))
0.0b	(- (* d2 d2) (* 3.0 d2))
4.3b	(* d1 (+ (pow 3.0 3) (pow d2 3)))
19.7b	(/ (* d1 (+ (pow 3.0 3) (pow d2 3))) (+ (* 3.0 3.0) (- (* d2 d2) (* 3.0 d2))))

rewrite36.0ms

Algorithm

rewrite-expression-head

Rules

6×	`*-commutative`
4×	`flip3-+` `associate-*r/` `flip-+`
3×	`+-commutative` `associate-/l*`
2×	`distribute-rgt-in` `distribute-rgt-out--` `distribute-lft-in` `associate-r` `associate-/r/` `sum-cubes` `associate-/l/` `distribute-lft-out--`
1×	`sub-neg` `flip3--` `frac-2neg` `clear-num` `flip--` `div-inv`

Counts

4 → 29

Calls

4 calls:

15.0ms	(+ (/ (* d1 (+ (pow 3.0 3) (pow d2 3))) (+ (* 3.0 3.0) (- (* d2 d2) (* 3.0 d2)))) (* d1 d3))
4.0ms	(- (* d2 d2) (* 3.0 d2))
5.0ms	(* d1 (+ (pow 3.0 3) (pow d2 3)))
11.0ms	(/ (* d1 (+ (pow 3.0 3) (pow d2 3))) (+ (* 3.0 3.0) (- (* d2 d2) (* 3.0 d2))))

series432.0ms

Counts

4 → 12

Calls

4 calls:

136.0ms	(+ (/ (* d1 (+ (pow 3.0 3) (pow d2 3))) (+ (* 3.0 3.0) (- (* d2 d2) (* 3.0 d2)))) (* d1 d3))
58.0ms	(- (* d2 d2) (* 3.0 d2))
87.0ms	(* d1 (+ (pow 3.0 3) (pow d2 3)))
150.0ms	(/ (* d1 (+ (pow 3.0 3) (pow d2 3))) (+ (* 3.0 3.0) (- (* d2 d2) (* 3.0 d2))))

simplify130.0ms

Algorithm

egg-herbie

Counts

41 → 41

Iterations

Useful iterations: 2 (29.0ms)

Iter	Nodes	Cost
0	279	286
1	926	273
2	4234	256
3	5002	256

prune104.0ms

Filtered

41 candidates to 28 candidates (68.3%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	41	0	41
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	41	4	45

Merged error: 0.0b

Counts

45 → 4

regimes60.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	4
1	12	4

end0.0ms

sample498.0ms

Algorithm

intervals

Results

241.0ms	9640×	body	80	valid
22.0ms	205×	body	640	valid
13.0ms	151×	body	320	valid
12.0ms	78×	body	1280	valid
5.0ms	104×	body	160	valid