Details

sample30.0ms

Algorithm

intervals

Results

8.0ms	256×	body	80	valid
7.0ms	230×	body	80	nan

simplify9.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	21	7
1	33	7
2	42	7
3	44	7
4	44	7

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: 18.5b

Counts

2 → 1

localize12.0ms

Local error

Found 3 expressions with local error:

0.6b	(+ (* x y) (* x z))
1.6b	(+ (+ (* x y) (* x z)) (* y z))
17.5b	(sqrt (+ (+ (* x y) (* x z)) (* y z)))

rewrite18.0ms

Algorithm

rewrite-expression-head

Rules

3×	`+-commutative` `flip3-+` `flip-+`
2×	`associate-+l+` `sqrt-div` `*-commutative`
1×	`distribute-rgt-out` `pow1/2` `distribute-lft-out`

Counts

3 → 13

Calls

3 calls:

4.0ms	(+ (* x y) (* x z))
8.0ms	(+ (+ (* x y) (* x z)) (* y z))
5.0ms	(sqrt (+ (+ (* x y) (* x z)) (* y z)))

series161.0ms

Counts

3 → 9

Calls

3 calls:

34.0ms	(+ (* x y) (* x z))
20.0ms	(+ (+ (* x y) (* x z)) (* y z))
107.0ms	(sqrt (+ (+ (* x y) (* x z)) (* y z)))

simplify71.0ms

Algorithm

egg-herbie

Counts

22 → 22

Iterations

Useful iterations: 3 (68.0ms)

Iter	Nodes	Cost
0	176	154
1	571	142
2	1946	134
3	5002	131

prune70.0ms

Filtered

22 candidates to 15 candidates (68.2%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	20	2	22
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	20	3	23

Merged error: 18.5b

Counts

23 → 3

localize29.0ms

Local error

Found 4 expressions with local error:

10.1b	(- (* (+ (* x y) (* x z)) (+ (* x y) (* x z))) (* (* y z) (* y z)))
11.3b	(/ (sqrt (- (* (+ (* x y) (* x z)) (+ (* x y) (* x z))) (* (* y z) (* y z)))) (sqrt (- (+ (* x y) (* x z)) (* y z))))
12.1b	(sqrt (- (+ (* x y) (* x z)) (* y z)))
13.8b	(sqrt (- (* (+ (* x y) (* x z)) (+ (* x y) (* x z))) (* (* y z) (* y z))))

rewrite112.0ms

Algorithm

rewrite-expression-head

Rules

12×	`*-commutative` `difference-of-squares`
8×	`sqrt-div` `sqrt-prod`
5×	`flip3--` `flip--`
4×	`associate--l+` `associate-/l*`
2×	`+-commutative` `distribute-rgt-in` `distribute-lft-in` `pow1/2` `associate-/r/` `associate-/l/`
1×	`sub-neg` `sqrt-undiv` `frac-2neg` `clear-num` `div-inv`

Counts

4 → 34

Calls

4 calls:

23.0ms	(- (* (+ (* x y) (* x z)) (+ (* x y) (* x z))) (* (* y z) (* y z)))
46.0ms	(/ (sqrt (- (* (+ (* x y) (* x z)) (+ (* x y) (* x z))) (* (* y z) (* y z)))) (sqrt (- (+ (* x y) (* x z)) (* y z))))
10.0ms	(sqrt (- (+ (* x y) (* x z)) (* y z)))
32.0ms	(sqrt (- (* (+ (* x y) (* x z)) (+ (* x y) (* x z))) (* (* y z) (* y z))))

series548.0ms

Counts

4 → 12

Calls

4 calls:

68.0ms	(- (* (+ (* x y) (* x z)) (+ (* x y) (* x z))) (* (* y z) (* y z)))
202.0ms	(/ (sqrt (- (* (+ (* x y) (* x z)) (+ (* x y) (* x z))) (* (* y z) (* y z)))) (sqrt (- (+ (* x y) (* x z)) (* y z))))
106.0ms	(sqrt (- (+ (* x y) (* x z)) (* y z)))
172.0ms	(sqrt (- (* (+ (* x y) (* x z)) (+ (* x y) (* x z))) (* (* y z) (* y z))))

simplify46.0ms

Algorithm

egg-herbie

Counts

46 → 46

Iterations

Useful iterations: 2 (39.0ms)

Iter	Nodes	Cost
0	268	555
1	1065	515
2	5001	505

prune130.0ms

Filtered

46 candidates to 32 candidates (69.6%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	44	2	46
Fresh	0	1	1
Picked	1	0	1
Done	0	1	1
Total	45	4	49

Merged error: 18.3b

Counts

49 → 4

localize13.0ms

Local error

Found 4 expressions with local error:

0.6b	(+ (* x y) (* x z))
0.9b	(- (+ (* x y) (* x z)) (* y z))
11.3b	(/ (* x (+ y z)) (sqrt (- (+ (* x y) (* x z)) (* y z))))
12.1b	(sqrt (- (+ (* x y) (* x z)) (* y z)))

rewrite30.0ms

Algorithm

rewrite-expression-head

Rules

4×	`sqrt-div`
3×	`flip3--` `*-commutative` `flip--`
2×	`+-commutative` `flip3-+` `associate-r/` `associate--l+` `associate-/r/` `flip-+` `associate-/l/` `associate-/l`
1×	`sub-neg` `distribute-rgt-out` `frac-2neg` `pow1/2` `clear-num` `div-inv` `distribute-lft-out`

Counts

4 → 23

Calls

4 calls:

4.0ms	(+ (* x y) (* x z))
10.0ms	(- (+ (* x y) (* x z)) (* y z))
10.0ms	(/ (* x (+ y z)) (sqrt (- (+ (* x y) (* x z)) (* y z))))
6.0ms	(sqrt (- (+ (* x y) (* x z)) (* y z)))

series325.0ms

Counts

4 → 12

Calls

4 calls:

31.0ms	(+ (* x y) (* x z))
23.0ms	(- (+ (* x y) (* x z)) (* y z))
166.0ms	(/ (* x (+ y z)) (sqrt (- (+ (* x y) (* x z)) (* y z))))
105.0ms	(sqrt (- (+ (* x y) (* x z)) (* y z)))

simplify107.0ms

Algorithm

egg-herbie

Counts

35 → 35

Iterations

Useful iterations: 2 (28.0ms)

Iter	Nodes	Cost
0	258	268
1	840	250
2	3357	239
3	5002	239

prune89.0ms

Filtered

35 candidates to 25 candidates (71.4%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	33	2	35
Fresh	2	0	2
Picked	1	0	1
Done	0	1	1
Total	36	3	39

Merged error: 18.2b

Counts

39 → 3

localize13.0ms

Local error

Found 4 expressions with local error:

0.2b	(/ (+ y z) (/ (sqrt (- (+ (* x y) (* x z)) (* y z))) x))
0.6b	(+ (* x y) (* x z))
0.9b	(- (+ (* x y) (* x z)) (* y z))
12.1b	(sqrt (- (+ (* x y) (* x z)) (* y z)))

rewrite27.0ms

Algorithm

rewrite-expression-head

Rules

5×	`associate-/r/`
4×	`sqrt-div` `associate-/l/`
3×	`flip3--` `flip--`
2×	`+-commutative` `frac-2neg` `flip3-+` `associate--l+` `clear-num` `*-commutative` `flip-+` `div-inv`
1×	`sub-neg` `distribute-rgt-out` `pow1/2` `associate-/r*` `distribute-lft-out`

Counts

4 → 25

Calls

4 calls:

9.0ms	(/ (+ y z) (/ (sqrt (- (+ (* x y) (* x z)) (* y z))) x))
4.0ms	(+ (* x y) (* x z))
7.0ms	(- (+ (* x y) (* x z)) (* y z))
6.0ms	(sqrt (- (+ (* x y) (* x z)) (* y z)))

series362.0ms

Counts

4 → 12

Calls

4 calls:

200.0ms	(/ (+ y z) (/ (sqrt (- (+ (* x y) (* x z)) (* y z))) x))
31.0ms	(+ (* x y) (* x z))
26.0ms	(- (+ (* x y) (* x z)) (* y z))
105.0ms	(sqrt (- (+ (* x y) (* x z)) (* y z)))

simplify112.0ms

Algorithm

egg-herbie

Counts

37 → 37

Iterations

Useful iterations: 2 (28.0ms)

Iter	Nodes	Cost
0	255	275
1	831	259
2	3312	247
3	5001	247

prune84.0ms

Filtered

37 candidates to 26 candidates (70.3%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	35	2	37
Fresh	1	0	1
Picked	1	0	1
Done	0	1	1
Total	37	3	40

Merged error: 18.2b

Counts

40 → 3

regimes104.0ms

Accuracy

0% (0.4b remaining)

Error of 19.8b against oracle of 19.4b and baseline of 19.8b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	7
1	17	7

end0.0ms

sample839.0ms

Algorithm

intervals

Results

252.0ms	8000×	body	80	valid
240.0ms	7925×	body	80	nan