Details

sample18.0ms

Algorithm

intervals

Results

5.0ms	226×	body	80	valid
3.0ms	32×	body	640	valid
1.0ms	11×	body	1280	valid
1.0ms	18×	body	320	valid
0.0ms	8×	body	160	valid

simplify83.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	13	4
1	27	4
2	78	4
3	245	4
4	634	4
5	1081	4
6	2442	4
7	4046	4
8	5001	4

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: 16.1b

Counts

2 → 1

localize5.0ms

Local error

Found 2 expressions with local error:

0.0b	(* (- 1.0 x) (- 1.0 y))
1.9b	(+ x (* (- 1.0 x) (- 1.0 y)))

rewrite14.0ms

Algorithm

rewrite-expression-head

Rules

10×	`add-sqr-sqrt`
8×	`*-un-lft-identity`
6×	`flip3--` `flip--`
5×	`associate-r` `associate-l`
4×	`pow1` `add-exp-log` `distribute-rgt-in` `frac-times` `add-cube-cbrt` `sub-neg` `associate-+r+` `distribute-lft-in` `add-cbrt-cube` `add-log-exp`
2×	`associate-r/` `associate-l/` `distribute-lft-out--` `difference-of-squares`
1×	`+-commutative` `flip3-+` `pow-prod-down` `prod-exp` `sum-log` `*-commutative` `cbrt-unprod` `flip-+` `unswap-sqr`

Counts

2 → 49

Calls

2 calls:

9.0ms	(* (- 1.0 x) (- 1.0 y))
4.0ms	(+ x (* (- 1.0 x) (- 1.0 y)))

series48.0ms

Counts

2 → 6

Calls

2 calls:

25.0ms	(* (- 1.0 x) (- 1.0 y))
23.0ms	(+ x (* (- 1.0 x) (- 1.0 y)))

simplify35.0ms

Algorithm

egg-herbie

Counts

55 → 55

Iterations

Useful iterations: 1 (8.0ms)

Iter	Nodes	Cost
0	276	312
1	1146	296
2	5001	296

prune128.0ms

Filtered

55 candidates to 39 candidates (70.9%)

Pruning

1 alts after pruning (1 fresh and 0 done)

	Pruned	Kept	Total
New	54	1	55
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	55	1	56

Merged error: 0.0b

Counts

56 → 1

localize9.0ms

Local error

Found 1 expressions with local error:

0.0b	(+ (* x y) 1.0)

rewrite7.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

1 → 11

Calls

1 calls:

6.0ms

(+ (* x y) 1.0)

series35.0ms

Counts

1 → 3

Calls

1 calls:

35.0ms

(+ (* x y) 1.0)

simplify161.0ms

Algorithm

egg-herbie

Counts

14 → 14

Iterations

Useful iterations: 2 (12.0ms)

Iter	Nodes	Cost
0	80	57
1	227	52
2	594	51
3	1611	51
4	4670	51
5	5001	51

prune19.0ms

Filtered

14 candidates to 10 candidates (71.4%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	13	1	14
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	13	2	15

Merged error: 0b

Counts

15 → 2

localize7.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (* x y) 1.0)
0.0b	(sqrt (+ (* x y) 1.0))
0.0b	(sqrt (+ (* x y) 1.0))
0.1b	(* (sqrt (+ (* x y) 1.0)) (sqrt (+ (* x y) 1.0)))

rewrite26.0ms

Algorithm

rewrite-expression-head

Rules

28×	`add-sqr-sqrt`
24×	`sqrt-prod`
21×	`pow1`
16×	`sqrt-div`
14×	`add-cube-cbrt` `*-un-lft-identity`
10×	`sqrt-pow1` `pow1/2`
9×	`flip3-+` `flip-+`
8×	`swap-sqr`
6×	`add-exp-log` `associate-r` `associate-l` `add-cbrt-cube` `add-log-exp`
5×	`pow-prod-up`
4×	`frac-times` `unswap-sqr`
3×	`pow-prod-down` `pow-sqr`
2×	`rem-sqrt-square` `associate-r/` `associate-l/`
1×	`+-commutative` `pow2` `pow-plus` `sqrt-unprod` `prod-exp` `sum-log` `rem-square-sqrt` `*-commutative` `cbrt-unprod`

Counts

4 → 98

Calls

4 calls:

4.0ms	(+ (* x y) 1.0)
4.0ms	(sqrt (+ (* x y) 1.0))
4.0ms	(sqrt (+ (* x y) 1.0))
11.0ms	(* (sqrt (+ (* x y) 1.0)) (sqrt (+ (* x y) 1.0)))

series301.0ms

Counts

4 → 12

Calls

4 calls:

21.0ms	(+ (* x y) 1.0)
129.0ms	(sqrt (+ (* x y) 1.0))
127.0ms	(sqrt (+ (* x y) 1.0))
24.0ms	(* (sqrt (+ (* x y) 1.0)) (sqrt (+ (* x y) 1.0)))

simplify40.0ms

Algorithm

egg-herbie

Counts

110 → 110

Iterations

Useful iterations: 2 (31.0ms)

Iter	Nodes	Cost
0	246	622
1	1004	578
2	5002	564

prune175.0ms

Filtered

110 candidates to 65 candidates (59.1%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	110	0	110
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	110	2	112

Merged error: 0b

Counts

112 → 2

regimes22.0ms

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	10	4
1	10	4

end0.0ms

sample474.0ms

Algorithm

intervals

Results

157.0ms	6983×	body	80	valid
77.0ms	866×	body	640	valid
39.0ms	388×	body	1280	valid
35.0ms	579×	body	320	valid
14.0ms	344×	body	160	valid

Details

sample18.0ms

simplify83.0ms

prune2.0ms

localize5.0ms

rewrite14.0ms

series48.0ms

simplify35.0ms

prune128.0ms

localize9.0ms

rewrite7.0ms

series35.0ms

simplify161.0ms

prune19.0ms

localize7.0ms

rewrite26.0ms

series301.0ms

simplify40.0ms

prune175.0ms

regimes22.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample474.0ms

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