Details

analyze61.0ms

Algorithm

Search

True	Other	False	Iter
0%	99.9%	0.1%	0
0%	99.9%	0.1%	1
0%	99.9%	0.1%	2
0%	99.9%	0.1%	3
0%	99.9%	0.1%	4
25%	74.9%	0.1%	5
37.5%	62.4%	0.1%	6
50%	37.5%	12.6%	7
56.2%	31.2%	12.6%	8
62.4%	18.7%	18.8%	9
65.6%	15.6%	18.8%	10
68.7%	9.4%	22%	11
70.2%	7.8%	22%	12
71.8%	4.7%	23.5%	13
72.6%	3.9%	23.5%	14

sample12.0ms

Algorithm

intervals

Results

5.0ms	256×	body	80	valid
0.0ms	6×	body	80	invalid

simplify15.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (13.0ms)

Iter	Nodes	Cost
0	380	7
1	380	7

prune7.0ms

Filtered

1 candidates to 1 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: 0.0b

Counts

2 → 2

localize4.0ms

Local error

Found 1 expressions with local error:

0.1b	(* (* x y) (- 1.0 y))

rewrite10.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

1 → 24

Calls

1 calls:

10.0ms

(* (* x y) (- 1.0 y))

series7.0ms

Counts

1 → 3

Calls

1 calls:

7.0ms

(* (* x y) (- 1.0 y))

simplify37.0ms

Algorithm

egg-herbie

Counts

27 → 27

Iterations

Useful iterations: 0 (34.0ms)

Iter	Nodes	Cost
0	5044	220

prune33.0ms

Filtered

15 candidates to 27 candidates (-80.0%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	25	2	27
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	25	4	29

Merged error: 0.0b

Counts

29 → 4

localize4.0ms

Local error

Found 2 expressions with local error:

0.0b	(* y (- 1.0 y))
5.0b	(* x (* y (- 1.0 y)))

rewrite16.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 48

Calls

2 calls:

6.0ms	(* y (- 1.0 y))
7.0ms	(* x (* y (- 1.0 y)))

series11.0ms

Counts

2 → 6

Calls

2 calls:

4.0ms	(* y (- 1.0 y))
7.0ms	(* x (* y (- 1.0 y)))

simplify42.0ms

Algorithm

egg-herbie

Counts

54 → 54

Iterations

Useful iterations: 0 (38.0ms)

Iter	Nodes	Cost
0	4933	399
1	4933	399

prune47.0ms

Filtered

30 candidates to 54 candidates (-80.0%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	54	0	54
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	54	4	58

Merged error: 0.0b

Counts

58 → 4

localize7.0ms

Local error

Found 4 expressions with local error:

0.0b	(sqrt (- 1.0 y))
0.1b	(* (* x (* y (sqrt (- 1.0 y)))) (sqrt (- 1.0 y)))
0.1b	(* y (sqrt (- 1.0 y)))
1.5b	(* x (* y (sqrt (- 1.0 y))))

rewrite33.0ms

Algorithm

rewrite-expression-head

Rules

22×	`add-sqr-sqrt`
21×	`pow1`
20×	`add-exp-log` `associate-*r/` `add-cbrt-cube`
18×	`sqrt-div`
17×	`-un-lft-identity` `associate-r*`
16×	`sqrt-prod`
11×	`add-cube-cbrt`
10×	`pow-prod-down` `prod-exp` `cbrt-unprod`
9×	`flip3--` `flip--`
7×	`associate-l`
4×	`frac-times` `add-log-exp`
3×	`*-commutative` `distribute-lft-out--` `difference-of-squares`
2×	`associate-*l/` `unswap-sqr`
1×	`rem-sqrt-square` `sqrt-pow1` `pow1/2`

Counts

4 → 97

Calls

4 calls:

3.0ms	(sqrt (- 1.0 y))
13.0ms	(* (* x (* y (sqrt (- 1.0 y)))) (sqrt (- 1.0 y)))
7.0ms	(* y (sqrt (- 1.0 y)))
7.0ms	(* x (* y (sqrt (- 1.0 y))))

series28.0ms

Counts

4 → 12

Calls

4 calls:

3.0ms	(sqrt (- 1.0 y))
7.0ms	(* (* x (* y (sqrt (- 1.0 y)))) (sqrt (- 1.0 y)))
6.0ms	(* y (sqrt (- 1.0 y)))
11.0ms	(* x (* y (sqrt (- 1.0 y))))

simplify40.0ms

Algorithm

egg-herbie

Counts

109 → 109

Iterations

Useful iterations: 0 (30.0ms)

Iter	Nodes	Cost
0	5051	1181

prune132.0ms

Filtered

70 candidates to 109 candidates (-55.7%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	109	0	109
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	109	4	113

Merged error: 0.0b

Counts

113 → 4

localize8.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (sqrt 1.0) (sqrt y))
0.1b	(* y (+ (sqrt 1.0) (sqrt y)))
0.1b	(* (* x (* y (+ (sqrt 1.0) (sqrt y)))) (- (sqrt 1.0) (sqrt y)))
1.3b	(* x (* y (+ (sqrt 1.0) (sqrt y))))

rewrite42.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 102

Calls

4 calls:

5.0ms	(- (sqrt 1.0) (sqrt y))
9.0ms	(* y (+ (sqrt 1.0) (sqrt y)))
15.0ms	(* (* x (* y (+ (sqrt 1.0) (sqrt y)))) (- (sqrt 1.0) (sqrt y)))
9.0ms	(* x (* y (+ (sqrt 1.0) (sqrt y))))

series41.0ms

Counts

4 → 12

Calls

4 calls:

4.0ms	(- (sqrt 1.0) (sqrt y))
5.0ms	(* y (+ (sqrt 1.0) (sqrt y)))
22.0ms	(* (* x (* y (+ (sqrt 1.0) (sqrt y)))) (- (sqrt 1.0) (sqrt y)))
10.0ms	(* x (* y (+ (sqrt 1.0) (sqrt y))))

simplify59.0ms

Algorithm

egg-herbie

Counts

114 → 114

Iterations

Useful iterations: 0 (50.0ms)

Iter	Nodes	Cost
0	5037	1293

prune132.0ms

Filtered

73 candidates to 114 candidates (-56.2%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	112	2	114
Fresh	0	0	0
Picked	1	0	1
Done	0	3	3
Total	113	5	118

Merged error: 0.0b

Counts

118 → 5

regimes123.0ms

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	18	7
1	18	7

end0.0ms

sample307.0ms

Algorithm

intervals

Results

179.0ms	8000×	body	80	valid
3.0ms	146×	body	80	invalid

Details

analyze61.0ms

sample12.0ms

simplify15.0ms

prune7.0ms

localize4.0ms

rewrite10.0ms

series7.0ms

simplify37.0ms

prune33.0ms

localize4.0ms

rewrite16.0ms

series11.0ms

simplify42.0ms

prune47.0ms

localize7.0ms

rewrite33.0ms

series28.0ms

simplify40.0ms

prune132.0ms

localize8.0ms

rewrite42.0ms

series41.0ms

simplify59.0ms

prune132.0ms

regimes123.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample307.0ms

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