Details

sample21.0ms

Algorithm

intervals

Results

12.0ms

455×

body

valid

simplify7.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 1 (3.0ms)

Iter	Nodes	Cost
0	17	6
1	37	5
2	46	5
3	46	5

prune7.0ms

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: 0.0b

Counts

2 → 2

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b	(* y (+ (* x 2.0) y))
0.0b	(+ (* y (+ (* x 2.0) y)) (* x x))

rewrite13.0ms

Algorithm

rewrite-expression-head

Rules

6×	`add-sqr-sqrt`
4×	`pow1` `add-exp-log` `add-cube-cbrt` `*-un-lft-identity` `add-cbrt-cube` `add-log-exp`
3×	`associate-r` `associate-l`
2×	`distribute-rgt-in` `associate-+l+` `distribute-lft-in` `flip3-+` `associate-*r/` `flip-+`
1×	`+-commutative` `pow-prod-down` `prod-exp` `sum-log` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

2 → 35

Calls

2 calls:

6.0ms	(* y (+ (* x 2.0) y))
7.0ms	(+ (* y (+ (* x 2.0) y)) (* x x))

series58.0ms

Counts

2 → 6

Calls

2 calls:

34.0ms	(* y (+ (* x 2.0) y))
23.0ms	(+ (* y (+ (* x 2.0) y)) (* x x))

simplify40.0ms

Algorithm

egg-herbie

Counts

41 → 41

Iterations

Useful iterations: 1 (7.0ms)

Iter	Nodes	Cost
0	222	234
1	1119	217
2	5001	217

prune67.0ms

Filtered

41 candidates to 28 candidates (68.3%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	39	2	41
Fresh	1	0	1
Picked	1	0	1
Done	0	0	0
Total	41	2	43

Merged error: 0.0b

Counts

43 → 2

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (+ (* y (* x 2.0)) (pow y 2)) (* x x))
0.0b	(+ (* y (* x 2.0)) (pow y 2))

rewrite15.0ms

Algorithm

rewrite-expression-head

Rules

9×	`add-log-exp`
4×	`sum-log`
2×	`pow1` `add-exp-log` `+-commutative` `add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity` `flip3-+` `add-cbrt-cube` `flip-+`
1×	`associate-+l+` `distribute-lft-out` `unpow2`

Counts

2 → 25

Calls

2 calls:

8.0ms	(+ (+ (* y (* x 2.0)) (pow y 2)) (* x x))
6.0ms	(+ (* y (* x 2.0)) (pow y 2))

series62.0ms

Counts

2 → 6

Calls

2 calls:

23.0ms	(+ (+ (* y (* x 2.0)) (pow y 2)) (* x x))
39.0ms	(+ (* y (* x 2.0)) (pow y 2))

simplify132.0ms

Algorithm

egg-herbie

Counts

31 → 31

Iterations

Useful iterations: 2 (25.0ms)

Iter	Nodes	Cost
0	180	240
1	892	220
2	4086	208
3	5001	208

prune64.0ms

Filtered

31 candidates to 23 candidates (74.2%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	30	1	31
Fresh	1	0	1
Picked	0	1	1
Done	0	0	0
Total	31	2	33

Merged error: 0.0b

Counts

33 → 2

localize15.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (exp (log (+ (* y (* x 2.0)) (pow y 2)))) (* x x))
0.0b	(+ (* y (* x 2.0)) (pow y 2))
3.7b	(exp (log (+ (* y (* x 2.0)) (pow y 2))))
9.1b	(log (+ (* y (* x 2.0)) (pow y 2)))

rewrite30.0ms

Algorithm

rewrite-expression-head

Rules

8×	`log-prod` `add-log-exp`
7×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
6×	`pow1`
5×	`add-exp-log`
4×	`log-div` `exp-prod` `flip3-+` `exp-sum` `add-cbrt-cube` `flip-+`
3×	`distribute-lft-out` `unpow2`
2×	`+-commutative` `exp-diff` `sum-log` `log-pow`
1×	`rem-log-exp` `rem-exp-log`

Counts

4 → 56

Calls

4 calls:

10.0ms	(+ (exp (log (+ (* y (* x 2.0)) (pow y 2)))) (* x x))
6.0ms	(+ (* y (* x 2.0)) (pow y 2))
7.0ms	(exp (log (+ (* y (* x 2.0)) (pow y 2))))
6.0ms	(log (+ (* y (* x 2.0)) (pow y 2)))

series189.0ms

Counts

4 → 12

Calls

4 calls:

24.0ms	(+ (exp (log (+ (* y (* x 2.0)) (pow y 2)))) (* x x))
41.0ms	(+ (* y (* x 2.0)) (pow y 2))
36.0ms	(exp (log (+ (* y (* x 2.0)) (pow y 2))))
89.0ms	(log (+ (* y (* x 2.0)) (pow y 2)))

simplify147.0ms

Algorithm

egg-herbie

Counts

68 → 68

Iterations

Useful iterations: 3 (139.0ms)

Iter	Nodes	Cost
0	249	555
1	1019	482
2	4223	451
3	5001	445

prune161.0ms

Filtered

68 candidates to 50 candidates (73.5%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	67	1	68
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	67	3	70

Merged error: 0b

Counts

70 → 3

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (* x (+ (* y 2.0) x)) (pow y 2))
0.0b	(* x (+ (* y 2.0) x))

rewrite14.0ms

Algorithm

rewrite-expression-head

Rules

6×	`add-sqr-sqrt`
4×	`pow1` `add-exp-log` `add-cube-cbrt` `*-un-lft-identity` `add-cbrt-cube` `add-log-exp`
3×	`associate-r` `associate-l`
2×	`distribute-rgt-in` `associate-+l+` `distribute-lft-in` `flip3-+` `associate-*r/` `flip-+`
1×	`+-commutative` `pow-prod-down` `prod-exp` `sum-log` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

2 → 35

Calls

2 calls:

8.0ms	(+ (* x (+ (* y 2.0) x)) (pow y 2))
6.0ms	(* x (+ (* y 2.0) x))

series61.0ms

Counts

2 → 6

Calls

2 calls:

21.0ms	(+ (* x (+ (* y 2.0) x)) (pow y 2))
39.0ms	(* x (+ (* y 2.0) x))

simplify35.0ms

Algorithm

egg-herbie

Counts

41 → 41

Iterations

Useful iterations: 1 (7.0ms)

Iter	Nodes	Cost
0	215	236
1	1025	216
2	5002	216

prune74.0ms

Filtered

41 candidates to 28 candidates (68.3%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	41	0	41
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	41	3	44

Merged error: 0b

Counts

44 → 3

regimes27.0ms

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	14	6
1	14	6

end0.0ms

sample576.0ms

Algorithm

intervals

Results

366.0ms

14150×

body

valid