Details

sample140.0ms

Algorithm

intervals

sampling

Space saved by range analysis: 0%

Space saved by search: 5.960083%

Guaranteed chance to sample good point: 98.344962%

Results

4.0ms	180×	body	80	valid
3.0ms	33×	body	640	valid
2.0ms	22×	body	320	valid
1.0ms	21×	body	80	invalid
1.0ms	10×	body	1280	valid
0.0ms	11×	body	160	valid

simplify92.0ms

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

prune3.0ms

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: 18.4b

Counts

2 → 1

localize5.0ms

Local error

Found 2 expressions with local error:

0.0b	(* (- 1.0 x) (- 1.0 y))
3.6b	(+ 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)))

series8.0ms

Counts

2 → 6

Calls

2 calls:

4.0ms	(* (- 1.0 x) (- 1.0 y))
5.0ms	(+ x (* (- 1.0 x) (- 1.0 y)))

simplify40.0ms

Algorithm

egg-herbie

Counts

55 → 55

Iterations

Useful iterations: 1 (9.0ms)

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

prune78.0ms

Filtered

39 candidates to 55 candidates (-41.0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	53	2	55
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	54	2	56

Merged error: 0b

Counts

56 → 2

localize6.0ms

Local error

Found 2 expressions with local error:

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

rewrite10.0ms

Algorithm

rewrite-expression-head

Rules

9×	`add-log-exp`
2×	`pow1` `add-exp-log` `add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity` `diff-log` `sum-log` `add-cbrt-cube`
1×	`+-commutative` `sub-neg` `flip3--` `flip3-+` `associate--l+` `flip--` `flip-+`

Counts

2 → 25

Calls

2 calls:

3.0ms	(+ (* x y) 1.0)
6.0ms	(- (+ (* x y) 1.0) (* 1.0 y))

series8.0ms

Counts

2 → 6

Calls

2 calls:

4.0ms	(+ (* x y) 1.0)
5.0ms	(- (+ (* x y) 1.0) (* 1.0 y))

simplify59.0ms

Algorithm

egg-herbie

Counts

31 → 31

Iterations

Useful iterations: 2 (16.0ms)

Iter	Nodes	Cost
0	140	161
1	484	152
2	1889	146
3	5002	146

prune36.0ms

Filtered

22 candidates to 31 candidates (-40.9%)

Pruning

2 alts after pruning (1 fresh and 1 done)

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

Merged error: 0b

Counts

33 → 2

localize10.0ms

Local error

Found 3 expressions with local error:

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

rewrite37.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 101

Calls

3 calls:

11.0ms	(* (- 1.0 x) (+ (sqrt 1.0) (sqrt y)))
17.0ms	(* (* (- 1.0 x) (+ (sqrt 1.0) (sqrt y))) (- (sqrt 1.0) (sqrt y)))
4.0ms	(+ x (* (* (- 1.0 x) (+ (sqrt 1.0) (sqrt y))) (- (sqrt 1.0) (sqrt y))))

series41.0ms

Counts

3 → 9

Calls

3 calls:

7.0ms	(* (- 1.0 x) (+ (sqrt 1.0) (sqrt y)))
20.0ms	(* (* (- 1.0 x) (+ (sqrt 1.0) (sqrt y))) (- (sqrt 1.0) (sqrt y)))
14.0ms	(+ x (* (* (- 1.0 x) (+ (sqrt 1.0) (sqrt y))) (- (sqrt 1.0) (sqrt y))))

simplify116.0ms

Algorithm

egg-herbie

Counts

110 → 110

Iterations

Useful iterations: 2 (102.0ms)

Iter	Nodes	Cost
0	770	1329
1	4538	1148
2	5001	1143

prune184.0ms

Filtered

84 candidates to 110 candidates (-31.0%)

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

regimes64.0ms

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

sample648.0ms

Algorithm

intervals

sampling

Space saved by range analysis: 0%

Space saved by search: 5.960083%

Guaranteed chance to sample good point: 98.344962%

Results

144.0ms	5819×	body	80	valid
74.0ms	843×	body	640	valid
45.0ms	400×	body	1280	valid
38.0ms	593×	body	320	valid
15.0ms	345×	body	160	valid
15.0ms	631×	body	80	invalid

Details

sample140.0ms

simplify92.0ms

prune3.0ms

localize5.0ms

rewrite14.0ms

series8.0ms

simplify40.0ms

prune78.0ms

localize6.0ms

rewrite10.0ms

series8.0ms

simplify59.0ms

prune36.0ms

localize10.0ms

rewrite37.0ms

series41.0ms

simplify116.0ms

prune184.0ms

regimes64.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample648.0ms

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