Details

sample76.0ms

Algorithm

intervals

Results

32.0ms	878×	body	80	nan
10.0ms	257×	body	80	valid

simplify37.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	20	6
1	48	6
2	118	6
3	247	6
4	525	6
5	732	6
6	937	6
7	1108	6
8	1128	6
9	1128	6

prune3.0ms

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

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (- (* x (log y)) y) z)
0.0b	(- (* x (log y)) y)
0.0b	(+ (- (- (* x (log y)) y) z) (log t))
0.3b	(* x (log y))

rewrite18.0ms

Algorithm

rewrite-expression-head

Rules

5×	`sub-neg`
4×	`associate-+l+` `associate--l+`
2×	`associate--l-` `associate-+l-` `flip3--` `flip--`
1×	`+-commutative` `flip3-+` `*-commutative` `flip-+`

Counts

4 → 21

Calls

4 calls:

5.0ms	(- (- (* x (log y)) y) z)
4.0ms	(- (* x (log y)) y)
7.0ms	(+ (- (- (* x (log y)) y) z) (log t))
2.0ms	(* x (log y))

series181.0ms

Counts

4 → 12

Calls

4 calls:

33.0ms	(- (- (* x (log y)) y) z)
60.0ms	(- (* x (log y)) y)
48.0ms	(+ (- (- (* x (log y)) y) z) (log t))
40.0ms	(* x (log y))

simplify59.0ms

Algorithm

egg-herbie

Counts

33 → 33

Iterations

Useful iterations: 2 (16.0ms)

Iter	Nodes	Cost
0	197	193
1	550	191
2	1950	158
3	5001	158

prune205.0ms

Filtered

33 candidates to 19 candidates (57.6%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	31	2	33
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	31	3	34

Merged error: 0.1b

Counts

34 → 3

localize19.0ms

Local error

Found 4 expressions with local error:

0.3b	(* x (log y))
0.3b	(* x (log y))
4.7b	(- (* (* x (log y)) (* x (log y))) (* y y))
32.0b	(/ (- (* (* x (log y)) (* x (log y))) (* y y)) (+ (* x (log y)) y))

rewrite26.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 22

Calls

4 calls:

2.0ms	(* x (log y))
2.0ms	(* x (log y))
8.0ms	(- (* (* x (log y)) (* x (log y))) (* y y))
12.0ms	(/ (- (* (* x (log y)) (* x (log y))) (* y y)) (+ (* x (log y)) y))

series282.0ms

Counts

4 → 12

Calls

4 calls:

42.0ms	(* x (log y))
38.0ms	(* x (log y))
83.0ms	(- (* (* x (log y)) (* x (log y))) (* y y))
118.0ms	(/ (- (* (* x (log y)) (* x (log y))) (* y y)) (+ (* x (log y)) y))

simplify36.0ms

Algorithm

egg-herbie

Counts

34 → 34

Iterations

Useful iterations: 2 (32.0ms)

Iter	Nodes	Cost
0	212	250
1	913	239
2	5001	211

prune92.0ms

Filtered

34 candidates to 17 candidates (50.0%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	29	5	34
Fresh	0	1	1
Picked	1	0	1
Done	0	1	1
Total	30	7	37

Merged error: 0.1b

Counts

37 → 7

localize18.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (- (/ 1 (/ 1 (- (* x (log y)) y))) z) (log t))
0.1b	(/ 1 (- (* x (log y)) y))
0.3b	(/ 1 (/ 1 (- (* x (log y)) y)))
0.3b	(* x (log y))

rewrite21.0ms

Algorithm

rewrite-expression-head

Rules

7×	`associate-/r/`
4×	`clear-num`
3×	`frac-2neg` `associate-/r*` `div-inv` `inv-pow`
2×	`associate-+l+` `flip3--` `flip--` `remove-double-div`
1×	`+-commutative` `associate-+l-` `sub-neg` `pow-flip` `flip3-+` `*-commutative` `flip-+`

Counts

4 → 26

Calls

4 calls:

9.0ms	(+ (- (/ 1 (/ 1 (- (* x (log y)) y))) z) (log t))
4.0ms	(/ 1 (- (* x (log y)) y))
5.0ms	(/ 1 (/ 1 (- (* x (log y)) y)))
2.0ms	(* x (log y))

series331.0ms

Counts

4 → 12

Calls

4 calls:

42.0ms	(+ (- (/ 1 (/ 1 (- (* x (log y)) y))) z) (log t))
189.0ms	(/ 1 (- (* x (log y)) y))
61.0ms	(/ 1 (/ 1 (- (* x (log y)) y)))
38.0ms	(* x (log y))

simplify63.0ms

Algorithm

egg-herbie

Counts

38 → 38

Iterations

Useful iterations: 2 (17.0ms)

Iter	Nodes	Cost
0	164	164
1	466	158
2	1783	131
3	5001	131

prune96.0ms

Filtered

38 candidates to 23 candidates (60.5%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	37	1	38
Fresh	1	4	5
Picked	0	1	1
Done	0	1	1
Total	38	7	45

Merged error: 0.1b

Counts

45 → 7

localize25.0ms

Local error

Found 4 expressions with local error:

0.3b	(/ (+ (* x (log y)) y) (pow (log y) 2))
0.5b	(pow (log y) 2)
19.3b	(/ (* y y) (+ (* x (log y)) y))
20.7b	(/ (pow x 2) (/ (+ (* x (log y)) y) (pow (log y) 2)))

rewrite21.0ms

Algorithm

rewrite-expression-head

Rules

9×	`associate-/r/`
6×	`div-inv`
5×	`associate-/r*` `unpow2` `sqr-pow`
4×	`frac-2neg` `clear-num` `associate-/l/` `associate-/l*`
3×	`flip3-+` `flip-+`
2×	`times-frac`
1×	`pow-to-exp` `*-commutative`

Counts

4 → 32

Calls

4 calls:

6.0ms	(/ (+ (* x (log y)) y) (pow (log y) 2))
2.0ms	(pow (log y) 2)
5.0ms	(/ (* y y) (+ (* x (log y)) y))
7.0ms	(/ (pow x 2) (/ (+ (* x (log y)) y) (pow (log y) 2)))

series574.0ms

Counts

4 → 12

Calls

4 calls:

140.0ms	(/ (+ (* x (log y)) y) (pow (log y) 2))
154.0ms	(pow (log y) 2)
141.0ms	(/ (* y y) (+ (* x (log y)) y))
139.0ms	(/ (pow x 2) (/ (+ (* x (log y)) y) (pow (log y) 2)))

simplify159.0ms

Algorithm

egg-herbie

Counts

44 → 44

Iterations

Useful iterations: 2 (21.0ms)

Iter	Nodes	Cost
0	185	232
1	555	229
2	3265	228
3	5001	228

prune155.0ms

Filtered

44 candidates to 34 candidates (77.3%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	42	2	44
Fresh	2	2	4
Picked	1	0	1
Done	0	2	2
Total	45	6	51

Merged error: 0.0b

Counts

51 → 6

regimes286.0ms

Accuracy

0% (0.0b 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	6
1	12	6

end0.0ms

sample2.0s

Algorithm

intervals

Results

816.0ms	24289×	body	80	nan
329.0ms	8029×	body	80	valid
0.0ms	1×	body	640	valid